{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c6e2665d",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Ignoring invalid distribution ~atplotlib (C:\\Users\\DTAI\\AppData\\Roaming\\Python\\Python312\\site-packages)\n",
      "WARNING: Ignoring invalid distribution ~atplotlib (C:\\Users\\DTAI\\AppData\\Roaming\\Python\\Python312\\site-packages)\n",
      "\n",
      "[notice] A new release of pip is available: 24.2 -> 25.0.1\n",
      "[notice] To update, run: python.exe -m pip install --upgrade pip\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: pycona in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (0.1.1)\n",
      "Requirement already satisfied: cpmpy>=0.9 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from pycona) (0.9.24)\n",
      "Requirement already satisfied: scikit-learn in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from pycona) (1.6.1)\n",
      "Requirement already satisfied: ortools>=9.9 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from cpmpy>=0.9->pycona) (9.10.4067)\n",
      "Requirement already satisfied: numpy>=1.5 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from cpmpy>=0.9->pycona) (1.26.4)\n",
      "Requirement already satisfied: scipy>=1.6.0 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from scikit-learn->pycona) (1.13.1)\n",
      "Requirement already satisfied: joblib>=1.2.0 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from scikit-learn->pycona) (1.4.2)\n",
      "Requirement already satisfied: threadpoolctl>=3.1.0 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from scikit-learn->pycona) (3.5.0)\n",
      "Requirement already satisfied: absl-py>=2.0.0 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from ortools>=9.9->cpmpy>=0.9->pycona) (2.1.0)\n",
      "Requirement already satisfied: pandas>=2.0.0 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from ortools>=9.9->cpmpy>=0.9->pycona) (2.1.4)\n",
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      "Requirement already satisfied: immutabledict>=3.0.0 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from ortools>=9.9->cpmpy>=0.9->pycona) (4.2.0)\n",
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      "Requirement already satisfied: pytz>=2020.1 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from pandas>=2.0.0->ortools>=9.9->cpmpy>=0.9->pycona) (2024.1)\n",
      "Requirement already satisfied: tzdata>=2022.1 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from pandas>=2.0.0->ortools>=9.9->cpmpy>=0.9->pycona) (2024.1)\n",
      "Requirement already satisfied: six>=1.5 in c:\\users\\dtai\\appdata\\roaming\\python\\python312\\site-packages (from python-dateutil>=2.8.2->pandas>=2.0.0->ortools>=9.9->cpmpy>=0.9->pycona) (1.16.0)\n"
     ]
    }
   ],
   "source": [
    "!pip install pycona\n",
    "import pandas as pd\n",
    "from pycona import *"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1f251d7",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### PyConA - Python-based open-source library for Constraint Acquisition\n",
    "- Based on the well-known CPMpy Constraint Programming and Modeling library (https://github.com/CPMpy/cpmpy)\n",
    "- Includes various algorithms and methods, and models several commonly used CA benchmarks\n",
    "    - Currently only interactive CA methods\n",
    "- Easy interface to run CA methods, also directed to be extendable for research purposes\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8798217e",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# A first look at **PyConA**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "823aa8dd",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- ProblemInstance class to encaptulate the information for CA instances\n",
    "- Core the CA algorithms\n",
    "    - Interactive CA algorithms subclassing the AlgorithmCAInteractive class\n",
    "- CAEnv class: the environment of CA systems\n",
    "    - Subclassed by ActiveCAEnv for interactive CA systems.\n",
    "    - Include the configurable options of CA systems\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6effc6d2",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Preparing the problem instances"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ff7fed6",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Vocubulary: The variables of our problem with their domains\n",
    "\n",
    "Create any type of variable supported in CPMpy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fa15b16f",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[var[0,0] var[0,1] var[0,2] var[0,3]]\n",
      " [var[1,0] var[1,1] var[1,2] var[1,3]]\n",
      " [var[2,0] var[2,1] var[2,2] var[2,3]]\n",
      " [var[3,0] var[3,1] var[3,2] var[3,3]]]\n"
     ]
    }
   ],
   "source": [
    "import cpmpy as cp\n",
    "\n",
    "# Define the variables\n",
    "int_vars = cp.intvar(1, 4, shape=(4,4), name=\"var\")  # lower bound, upper bound, shape, variable names\n",
    "print(int_vars)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0f55d3f",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Creating the language, i.e. what relations we expect to be in our problem:\n",
    "- need to define abstract relations, \n",
    "- **PyConA** defines abstract variables for that"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "82438793",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(AV4) == (AV5), (AV4) != (AV5), (AV4) < (AV5), (AV4) > (AV5), (AV4) >= (AV5), (AV4) <= (AV5)]\n"
     ]
    }
   ],
   "source": [
    "AV = absvar(2)  # create abstract vars - as many as maximum arity\n",
    "\n",
    "# create abstract relations using the abstract vars\n",
    "language = [AV[0] == AV[1], \n",
    "            AV[0] != AV[1], \n",
    "            AV[0] < AV[1], \n",
    "            AV[0] > AV[1], \n",
    "            AV[0] >= AV[1], \n",
    "            AV[0] <= AV[1]]\n",
    "print(language)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5c06bd2d",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#### Using the *ProblemInstance* class for modeling a problem: Example with nurse rostering:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "140490b5",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "import cpmpy as cp\n",
    "\n",
    "def construct_nurse_rostering(shifts_per_day, num_days, num_nurses, nurses_per_shift):\n",
    "\n",
    "    # Define the variables\n",
    "    roster_matrix = cp.intvar(1, num_nurses, shape=(num_days, shifts_per_day, nurses_per_shift), \n",
    "                              name=\"shifts\")\n",
    "\n",
    "\n",
    "    # Create the language:\n",
    "    AV = absvar(2)  # create abstract vars - as many as maximum arity\n",
    "    # create abstract relations using the abstract vars\n",
    "    lang = [AV[0] == AV[1], AV[0] != AV[1], AV[0] < AV[1], AV[0] > AV[1], AV[0] >= AV[1], AV[0] <= AV[1]]\n",
    "\n",
    "    instance = ProblemInstance(variables=roster_matrix, language=lang)\n",
    "\n",
    "    return instance"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8593f43c",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Constructing a small nurse rostering instance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5ce79750",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ProblemInstance: \n",
      "\n",
      "Variables: [[[shifts[0,0,0] shifts[0,0,1]]\n",
      "  [shifts[0,1,0] shifts[0,1,1]]\n",
      "  [shifts[0,2,0] shifts[0,2,1]]]\n",
      "\n",
      " [[shifts[1,0,0] shifts[1,0,1]]\n",
      "  [shifts[1,1,0] shifts[1,1,1]]\n",
      "  [shifts[1,2,0] shifts[1,2,1]]]].\n",
      "\n",
      "Language: [(AV6) == (AV7), (AV6) != (AV7), (AV6) < (AV7), (AV6) > (AV7), (AV6) >= (AV7), (AV6) <= (AV7)].\n"
     ]
    }
   ],
   "source": [
    "instance= construct_nurse_rostering(3, 2, 8, 2)\n",
    "print(instance)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2107009c",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "##### Active CA: Simulating the oracle\n",
    "\n",
    "- Default oracle: human user\n",
    "- We can create our oracle to automate the process\n",
    "- E.g.: ConstraintOracle for using the set of constraints to simulate the answers.\n",
    "\n",
    "Lets adjust our `construct_nurse_rostering()` function to also return an oracle:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "423bf023",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "def construct_nurse_rostering_with_oracle(shifts_per_day, num_days, num_nurses, nurses_per_shift):\n",
    "    \n",
    "    inst = construct_nurse_rostering(shifts_per_day, num_days, num_nurses, nurses_per_shift)\n",
    "    \n",
    "    # Create an oracle for simulation, by defining the ground truth problem\n",
    "    ## Define the variables\n",
    "    roster_matrix = inst.variables\n",
    "    \n",
    "    ## Define the list of (fixed-arity/decomposed) constraints\n",
    "    C_T = []\n",
    "\n",
    "    ## Constraint: Each shift in a day must be assigned to a different nurse\n",
    "    for day in range(num_days):\n",
    "        C_T += cp.AllDifferent(roster_matrix[day, ...]).decompose()   # ... means all remaining dimensions\n",
    "    ## Constraint: The last shift of a day cannot have the same nurse as the first shift of the next day\n",
    "    for day in range(num_days - 1):\n",
    "        C_T += cp.AllDifferent(roster_matrix[day, shifts_per_day - 1], roster_matrix[day + 1, 0]).decompose()\n",
    "\n",
    "    oracle = ConstraintOracle(C_T)\n",
    "\n",
    "    return inst, oracle"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e6b2547",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Interactive Constraint Acquisition System "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ecccea4",
   "metadata": {},
   "source": [
    "Core: the AlgorithmCAInteractive class. Subclassed with different algorithms from the literature. \n",
    "\n",
    "CA environment to configure the exact settings of CA systems (and offer common functionality)\n",
    "\n",
    "ActiveCAEnv for interactive CA systems, configuring the 3 main subcomponents of interactive CA systems:\n",
    "\n",
    "- qgen: (for query generation) An instance of QGenBase, default is PQGen.\n",
    "- find_scope: (for finding the scope) An instance of FindScopeBase, default is FindScope2.\n",
    "- findc: (for finding the exact constraints) An instance of FindCBase, default is FindC.\n",
    "\n",
    "For each of the subcomponents various methods are implemented from the litarature."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a5974176",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "......L.......L......L.......L........L........L.....L.........L.....L......L........L..........L........L.......L.....L.........L........L........L.....L...L......L..........L...L....L.........L............L..........L.......L.........L......L.....L....L..L....L...\n",
      "Learned 34 constraints in 232 queries.\n"
     ]
    }
   ],
   "source": [
    "# Create the instance\n",
    "instance, oracle = construct_nurse_rostering_with_oracle(3, 2, 8, 2)\n",
    "\n",
    "# create the interactive CA system of choice with the default settings\n",
    "qa = QuAcq()\n",
    "learned_instance = qa.learn(instance, oracle=oracle, verbose=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a8c365db",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "........L.........L........L...........L.........L......L.........L............L..........L...........L........L..........L.........L...........L............L........L........L...........L..........L.......L............L.............L........L........L..........L..............L...........L...........L.........L.........L..........L.............L.......L........L...\n",
      "Learned 34 constraints in 333 queries.\n"
     ]
    }
   ],
   "source": [
    "# Creating a custom environment, change find_scope to basic FindScope\n",
    "env = ActiveCAEnv(find_scope=FindScope())\n",
    "\n",
    "# create the interactive CA system of choice\n",
    "qa_fs1 = QuAcq(env)\n",
    "learned_instance = qa_fs1.learn(instance, oracle=oracle, verbose=1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "af43eb82",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>CL</th>\n",
       "      <th>tot_q</th>\n",
       "      <th>top_lvl_q</th>\n",
       "      <th>tfs_q</th>\n",
       "      <th>tfc_q</th>\n",
       "      <th>avg_q_size</th>\n",
       "      <th>avg_gen_time</th>\n",
       "      <th>avg_t</th>\n",
       "      <th>max_t</th>\n",
       "      <th>tot_t</th>\n",
       "      <th>conv</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>QuAcq findscope2</th>\n",
       "      <th>0</th>\n",
       "      <td>34</td>\n",
       "      <td>232</td>\n",
       "      <td>38</td>\n",
       "      <td>155</td>\n",
       "      <td>39</td>\n",
       "      <td>6.0690</td>\n",
       "      <td>0.9254</td>\n",
       "      <td>0.1723</td>\n",
       "      <td>1.4490</td>\n",
       "      <td>39.9743</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>QuAcq findscope</th>\n",
       "      <th>0</th>\n",
       "      <td>34</td>\n",
       "      <td>333</td>\n",
       "      <td>37</td>\n",
       "      <td>274</td>\n",
       "      <td>22</td>\n",
       "      <td>5.7508</td>\n",
       "      <td>0.9213</td>\n",
       "      <td>0.1107</td>\n",
       "      <td>1.5447</td>\n",
       "      <td>36.8765</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    CL  tot_q  top_lvl_q  tfs_q  tfc_q  avg_q_size  \\\n",
       "QuAcq findscope2 0  34    232         38    155     39      6.0690   \n",
       "QuAcq findscope  0  34    333         37    274     22      5.7508   \n",
       "\n",
       "                    avg_gen_time   avg_t   max_t    tot_t  conv  \n",
       "QuAcq findscope2 0        0.9254  0.1723  1.4490  39.9743     1  \n",
       "QuAcq findscope  0        0.9213  0.1107  1.5447  36.8765     1  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# we can compare the detailed statistics:\n",
    "pd.concat([qa.env.metrics.short_statistics, \n",
    "           qa_fs1.env.metrics.short_statistics], keys=[\"QuAcq findscope2\", \"QuAcq findscope\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e05a449d",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Size of CL:  0\n",
      "Size of B:  396\n",
      "Number of Queries:  0\n",
      "Query0: is this a solution?\n",
      "[[[1 1]\n",
      "  [1 1]\n",
      "  [1 1]]\n",
      "\n",
      " [[1 1]\n",
      "  [1 1]\n",
      "  [1 1]]]\n",
      "Answer:  No\n",
      "Query1: is this a solution?\n",
      "[[[1 1]\n",
      "  [1 1]\n",
      "  [1 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query2: is this a solution?\n",
      "[[[1 1]\n",
      "  [1 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query3: is this a solution?\n",
      "[[[1 1]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query4: is this a solution?\n",
      "[[[2 1]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) < (shifts[0,0,1])]\n",
      "Query5: is this a solution?\n",
      "[[[6 8]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,0,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,0,1])]\n",
      "Size of CL:  1\n",
      "Size of B:  393\n",
      "Number of Queries:  6\n",
      "Query6: is this a solution?\n",
      "[[[2 1]\n",
      "  [1 1]\n",
      "  [1 1]]\n",
      "\n",
      " [[1 1]\n",
      "  [1 1]\n",
      "  [1 1]]]\n",
      "Answer:  No\n",
      "Query7: is this a solution?\n",
      "[[[2 1]\n",
      "  [1 1]\n",
      "  [1 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query8: is this a solution?\n",
      "[[[2 1]\n",
      "  [1 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query9: is this a solution?\n",
      "[[[2 1]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) == (shifts[0,0,1]), (shifts[0,0,0]) <= (shifts[0,0,1])]\n",
      "Query10: is this a solution?\n",
      "[[[2 0]\n",
      "  [1 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) == (shifts[0,1,0]), (shifts[0,0,0]) < (shifts[0,1,0]), (shifts[0,0,0]) <= (shifts[0,1,0])]\n",
      "Query11: is this a solution?\n",
      "[[[0 1]\n",
      "  [2 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) > (shifts[0,1,0])]\n",
      "Query12: is this a solution?\n",
      "[[[0 3]\n",
      "  [1 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) < (shifts[0,1,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,1]) != (shifts[0,1,0])]\n",
      "Size of CL:  2\n",
      "Size of B:  385\n",
      "Number of Queries:  13\n",
      "Query13: is this a solution?\n",
      "[[[1 2]\n",
      "  [1 1]\n",
      "  [1 1]]\n",
      "\n",
      " [[1 1]\n",
      "  [1 1]\n",
      "  [1 1]]]\n",
      "Answer:  No\n",
      "Query14: is this a solution?\n",
      "[[[1 2]\n",
      "  [1 1]\n",
      "  [1 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query15: is this a solution?\n",
      "[[[1 2]\n",
      "  [1 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query16: is this a solution?\n",
      "[[[1 2]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) >= (shifts[0,0,1])]\n",
      "Query17: is this a solution?\n",
      "[[[1 0]\n",
      "  [1 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query18: is this a solution?\n",
      "[[[6 0]\n",
      "  [8 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,1,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,1,0])]\n",
      "Size of CL:  3\n",
      "Size of B:  382\n",
      "Number of Queries:  19\n",
      "Query19: is this a solution?\n",
      "[[[1 3]\n",
      "  [2 2]\n",
      "  [2 2]]\n",
      "\n",
      " [[2 2]\n",
      "  [2 2]\n",
      "  [2 2]]]\n",
      "Answer:  No\n",
      "Query20: is this a solution?\n",
      "[[[1 3]\n",
      "  [2 2]\n",
      "  [2 2]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query21: is this a solution?\n",
      "[[[1 3]\n",
      "  [2 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) >= (shifts[0,1,0]), (shifts[0,0,1]) == (shifts[0,1,0]), (shifts[0,0,1]) <= (shifts[0,1,0])]\n",
      "Query22: is this a solution?\n",
      "[[[1 3]\n",
      "  [2 2]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query23: is this a solution?\n",
      "[[[1 0]\n",
      "  [0 2]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,1,1]), (shifts[0,0,0]) == (shifts[0,1,1]), (shifts[0,0,0]) >= (shifts[0,1,1])]\n",
      "Query24: is this a solution?\n",
      "[[[1 3]\n",
      "  [0 2]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) <= (shifts[0,1,1]), (shifts[0,0,1]) == (shifts[0,1,1]), (shifts[0,0,1]) < (shifts[0,1,1])]\n",
      "Query25: is this a solution?\n",
      "[[[0 0]\n",
      "  [1 2]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) > (shifts[0,1,1])]\n",
      "Query26: is this a solution?\n",
      "[[[0 0]\n",
      "  [3 1]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) < (shifts[0,1,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,1,0]) != (shifts[0,1,1])]\n",
      "Size of CL:  4\n",
      "Size of B:  370\n",
      "Number of Queries:  27\n",
      "Query27: is this a solution?\n",
      "[[[2 1]\n",
      "  [4 1]\n",
      "  [1 1]]\n",
      "\n",
      " [[1 1]\n",
      "  [1 1]\n",
      "  [1 1]]]\n",
      "Answer:  No\n",
      "Query28: is this a solution?\n",
      "[[[2 1]\n",
      "  [4 1]\n",
      "  [1 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query29: is this a solution?\n",
      "[[[2 1]\n",
      "  [4 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) >= (shifts[0,1,0])]\n",
      "Query30: is this a solution?\n",
      "[[[2 1]\n",
      "  [4 1]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query31: is this a solution?\n",
      "[[[2 0]\n",
      "  [0 1]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) <= (shifts[0,1,1]), (shifts[0,0,0]) < (shifts[0,1,1])]\n",
      "Query32: is this a solution?\n",
      "[[[2 1]\n",
      "  [0 1]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query33: is this a solution?\n",
      "[[[0 1]\n",
      "  [0 1]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query34: is this a solution?\n",
      "[[[0 6]\n",
      "  [0 8]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) > (shifts[0,1,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,1]) != (shifts[0,1,1])]\n",
      "Size of CL:  5\n",
      "Size of B:  365\n",
      "Number of Queries:  35\n",
      "Query35: is this a solution?\n",
      "[[[2 1]\n",
      "  [3 2]\n",
      "  [3 1]]\n",
      "\n",
      " [[2 2]\n",
      "  [2 2]\n",
      "  [2 3]]]\n",
      "Answer:  No\n",
      "Query36: is this a solution?\n",
      "[[[2 1]\n",
      "  [3 2]\n",
      "  [3 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query37: is this a solution?\n",
      "[[[2 1]\n",
      "  [3 2]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query38: is this a solution?\n",
      "[[[2 0]\n",
      "  [0 2]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,1,1])]\n",
      "Size of CL:  6\n",
      "Size of B:  364\n",
      "Number of Queries:  39\n",
      "Query39: is this a solution?\n",
      "[[[3 2]\n",
      "  [1 4]\n",
      "  [1 1]]\n",
      "\n",
      " [[1 1]\n",
      "  [1 1]\n",
      "  [1 1]]]\n",
      "Answer:  No\n",
      "Query40: is this a solution?\n",
      "[[[3 2]\n",
      "  [1 4]\n",
      "  [1 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query41: is this a solution?\n",
      "[[[3 2]\n",
      "  [1 4]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) >= (shifts[0,1,1]), (shifts[0,1,0]) == (shifts[0,1,1]), (shifts[0,1,0]) >= (shifts[0,1,1])]\n",
      "Query42: is this a solution?\n",
      "[[[3 2]\n",
      "  [1 4]\n",
      "  [1 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query43: is this a solution?\n",
      "[[[3 2]\n",
      "  [1 0]\n",
      "  [1 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query44: is this a solution?\n",
      "[[[3 0]\n",
      "  [0 0]\n",
      "  [1 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) < (shifts[0,2,0]), (shifts[0,0,0]) <= (shifts[0,2,0]), (shifts[0,0,0]) == (shifts[0,2,0])]\n",
      "Query45: is this a solution?\n",
      "[[[3 2]\n",
      "  [0 0]\n",
      "  [1 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) == (shifts[0,2,0]), (shifts[0,0,1]) < (shifts[0,2,0]), (shifts[0,0,1]) <= (shifts[0,2,0])]\n",
      "Query46: is this a solution?\n",
      "[[[0 0]\n",
      "  [1 0]\n",
      "  [2 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) > (shifts[0,2,0])]\n",
      "Query47: is this a solution?\n",
      "[[[0 0]\n",
      "  [3 0]\n",
      "  [1 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) < (shifts[0,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,1,0]) != (shifts[0,2,0])]\n",
      "Size of CL:  7\n",
      "Size of B:  352\n",
      "Number of Queries:  48\n",
      "Query48: is this a solution?\n",
      "[[[3 1]\n",
      "  [7 6]\n",
      "  [3 2]]\n",
      "\n",
      " [[1 1]\n",
      "  [4 8]\n",
      "  [5 7]]]\n",
      "Answer:  No\n",
      "Query49: is this a solution?\n",
      "[[[3 1]\n",
      "  [7 6]\n",
      "  [3 2]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query50: is this a solution?\n",
      "[[[3 1]\n",
      "  [7 6]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) <= (shifts[0,1,1])]\n",
      "Query51: is this a solution?\n",
      "[[[3 1]\n",
      "  [7 6]\n",
      "  [3 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query52: is this a solution?\n",
      "[[[3 1]\n",
      "  [7 0]\n",
      "  [3 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query53: is this a solution?\n",
      "[[[3 0]\n",
      "  [0 0]\n",
      "  [3 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query54: is this a solution?\n",
      "[[[6 0]\n",
      "  [0 0]\n",
      "  [8 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,2,0])]\n",
      "Size of CL:  8\n",
      "Size of B:  349\n",
      "Number of Queries:  55\n",
      "Query55: is this a solution?\n",
      "[[[1 2]\n",
      "  [4 3]\n",
      "  [3 1]]\n",
      "\n",
      " [[1 1]\n",
      "  [1 1]\n",
      "  [1 1]]]\n",
      "Answer:  No\n",
      "Query56: is this a solution?\n",
      "[[[1 2]\n",
      "  [4 3]\n",
      "  [3 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query57: is this a solution?\n",
      "[[[1 2]\n",
      "  [4 3]\n",
      "  [3 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query58: is this a solution?\n",
      "[[[1 2]\n",
      "  [4 0]\n",
      "  [3 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) >= (shifts[0,2,0]), (shifts[0,0,1]) > (shifts[0,2,0]), (shifts[0,0,1]) >= (shifts[0,2,0]), (shifts[0,1,0]) == (shifts[0,2,0]), (shifts[0,1,0]) <= (shifts[0,2,0])]\n",
      "Query59: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 3]\n",
      "  [3 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query60: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 1]\n",
      "  [2 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) > (shifts[0,2,0])]\n",
      "Query61: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 3]\n",
      "  [1 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) < (shifts[0,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,1,1]) != (shifts[0,2,0])]\n",
      "Size of CL:  9\n",
      "Size of B:  341\n",
      "Number of Queries:  62\n",
      "Query62: is this a solution?\n",
      "[[[2 4]\n",
      "  [3 7]\n",
      "  [4 2]]\n",
      "\n",
      " [[7 8]\n",
      "  [6 7]\n",
      "  [7 5]]]\n",
      "Answer:  No\n",
      "Query63: is this a solution?\n",
      "[[[2 4]\n",
      "  [3 7]\n",
      "  [4 2]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query64: is this a solution?\n",
      "[[[2 4]\n",
      "  [3 7]\n",
      "  [4 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query65: is this a solution?\n",
      "[[[2 4]\n",
      "  [3 0]\n",
      "  [4 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query66: is this a solution?\n",
      "[[[2 4]\n",
      "  [0 0]\n",
      "  [4 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query67: is this a solution?\n",
      "[[[0 4]\n",
      "  [0 0]\n",
      "  [4 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,0,1]) != (shifts[0,2,0])]\n",
      "Size of CL:  10\n",
      "Size of B:  340\n",
      "Number of Queries:  68\n",
      "Query68: is this a solution?\n",
      "[[[3 2]\n",
      "  [6 1]\n",
      "  [7 1]]\n",
      "\n",
      " [[1 1]\n",
      "  [1 1]\n",
      "  [1 1]]]\n",
      "Answer:  No\n",
      "Query69: is this a solution?\n",
      "[[[3 2]\n",
      "  [6 1]\n",
      "  [7 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query70: is this a solution?\n",
      "[[[3 2]\n",
      "  [6 1]\n",
      "  [7 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) >= (shifts[0,2,0]), (shifts[0,1,1]) >= (shifts[0,2,0]), (shifts[0,1,1]) == (shifts[0,2,0])]\n",
      "Query71: is this a solution?\n",
      "[[[3 2]\n",
      "  [6 1]\n",
      "  [0 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query72: is this a solution?\n",
      "[[[3 2]\n",
      "  [6 0]\n",
      "  [0 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) < (shifts[0,2,1]), (shifts[0,1,0]) <= (shifts[0,2,1]), (shifts[0,1,0]) == (shifts[0,2,1]), (shifts[0,0,0]) < (shifts[0,2,1]), (shifts[0,0,0]) <= (shifts[0,2,1]), (shifts[0,0,0]) == (shifts[0,2,1]), (shifts[0,0,1]) <= (shifts[0,2,1]), (shifts[0,0,1]) < (shifts[0,2,1]), (shifts[0,0,1]) == (shifts[0,2,1])]\n",
      "Query73: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 1]\n",
      "  [0 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query74: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 1]\n",
      "  [0 2]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) > (shifts[0,2,1])]\n",
      "Query75: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 3]\n",
      "  [0 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) < (shifts[0,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,1,1]) != (shifts[0,2,1])]\n",
      "Size of CL:  11\n",
      "Size of B:  325\n",
      "Number of Queries:  76\n",
      "Query76: is this a solution?\n",
      "[[[1 3]\n",
      "  [5 7]\n",
      "  [2 8]]\n",
      "\n",
      " [[4 6]\n",
      "  [6 8]\n",
      "  [3 6]]]\n",
      "Answer:  No\n",
      "Query77: is this a solution?\n",
      "[[[1 3]\n",
      "  [5 7]\n",
      "  [2 8]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) > (shifts[0,2,1]), (shifts[0,2,0]) >= (shifts[0,2,1]), (shifts[0,2,0]) == (shifts[0,2,1]), (shifts[0,0,1]) >= (shifts[0,2,1]), (shifts[0,0,0]) >= (shifts[0,2,1]), (shifts[0,0,1]) > (shifts[0,2,1]), (shifts[0,1,1]) <= (shifts[0,2,0]), (shifts[0,1,1]) == (shifts[0,2,1]), (shifts[0,0,0]) > (shifts[0,2,1]), (shifts[0,1,0]) >= (shifts[0,2,1]), (shifts[0,1,0]) > (shifts[0,2,1]), (shifts[0,1,1]) >= (shifts[0,2,1])]\n",
      "Query78: is this a solution?\n",
      "[[[1 3]\n",
      "  [5 7]\n",
      "  [2 8]]\n",
      "\n",
      " [[4 6]\n",
      "  [6 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query79: is this a solution?\n",
      "[[[1 3]\n",
      "  [5 7]\n",
      "  [2 8]]\n",
      "\n",
      " [[4 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) <= (shifts[1,0,0]), (shifts[0,0,0]) >= (shifts[1,0,0]), (shifts[0,1,0]) < (shifts[1,0,0]), (shifts[0,1,1]) == (shifts[1,0,0]), (shifts[0,0,1]) == (shifts[1,0,0]), (shifts[0,2,1]) <= (shifts[1,0,0]), (shifts[0,0,0]) > (shifts[1,0,0]), (shifts[0,0,0]) == (shifts[1,0,0]), (shifts[0,2,0]) >= (shifts[1,0,0]), (shifts[0,0,1]) >= (shifts[1,0,0]), (shifts[0,1,1]) < (shifts[1,0,0]), (shifts[0,2,0]) > (shifts[1,0,0]), (shifts[0,2,1]) == (shifts[1,0,0]), (shifts[0,2,0]) == (shifts[1,0,0]), (shifts[0,1,0]) <= (shifts[1,0,0]), (shifts[0,1,0]) == (shifts[1,0,0]), (shifts[0,0,1]) > (shifts[1,0,0]), (shifts[0,2,1]) < (shifts[1,0,0])]\n",
      "Query80: is this a solution?\n",
      "[[[1 3]\n",
      "  [5 7]\n",
      "  [2 8]]\n",
      "\n",
      " [[4 6]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) >= (shifts[1,0,1]), (shifts[0,1,1]) == (shifts[1,0,1]), (shifts[0,1,1]) < (shifts[1,0,1]), (shifts[0,2,0]) == (shifts[1,0,1]), (shifts[0,1,0]) == (shifts[1,0,1]), (shifts[0,2,0]) > (shifts[1,0,1]), (shifts[0,2,1]) < (shifts[1,0,1]), (shifts[0,1,1]) <= (shifts[1,0,1]), (shifts[1,0,0]) >= (shifts[1,0,1]), (shifts[0,1,0]) > (shifts[1,0,1]), (shifts[0,0,1]) == (shifts[1,0,1]), (shifts[0,2,1]) <= (shifts[1,0,1]), (shifts[0,0,1]) >= (shifts[1,0,1]), (shifts[0,1,0]) >= (shifts[1,0,1]), (shifts[1,0,0]) > (shifts[1,0,1]), (shifts[0,2,1]) == (shifts[1,0,1]), (shifts[1,0,0]) == (shifts[1,0,1]), (shifts[0,0,0]) == (shifts[1,0,1]), (shifts[0,0,0]) > (shifts[1,0,1]), (shifts[0,2,0]) >= (shifts[1,0,1]), (shifts[0,0,1]) > (shifts[1,0,1])]\n",
      "Query81: is this a solution?\n",
      "[[[1 3]\n",
      "  [5 7]\n",
      "  [2 8]]\n",
      "\n",
      " [[4 0]\n",
      "  [6 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) >= (shifts[1,1,0]), (shifts[0,0,1]) == (shifts[1,1,0]), (shifts[0,2,0]) > (shifts[1,1,0]), (shifts[0,0,0]) > (shifts[1,1,0]), (shifts[0,0,0]) == (shifts[1,1,0]), (shifts[0,1,1]) <= (shifts[1,1,0]), (shifts[0,1,0]) == (shifts[1,1,0]), (shifts[0,1,1]) == (shifts[1,1,0]), (shifts[0,2,1]) < (shifts[1,1,0]), (shifts[0,0,1]) >= (shifts[1,1,0]), (shifts[0,2,1]) == (shifts[1,1,0]), (shifts[0,1,0]) >= (shifts[1,1,0]), (shifts[0,1,1]) < (shifts[1,1,0]), (shifts[1,0,0]) >= (shifts[1,1,0]), (shifts[0,0,1]) > (shifts[1,1,0]), (shifts[0,1,0]) > (shifts[1,1,0]), (shifts[0,2,1]) <= (shifts[1,1,0]), (shifts[0,2,0]) >= (shifts[1,1,0]), (shifts[0,2,0]) == (shifts[1,1,0]), (shifts[1,0,0]) == (shifts[1,1,0]), (shifts[1,0,0]) > (shifts[1,1,0])]\n",
      "Query82: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 6]\n",
      "  [6 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query83: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 1]\n",
      "  [2 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,1]) > (shifts[1,1,0])]\n",
      "Query84: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 3]\n",
      "  [1 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,1]) < (shifts[1,1,0])]\n",
      "adding the following constraints to C_L: [(shifts[1,0,1]) != (shifts[1,1,0])]\n",
      "Size of CL:  12\n",
      "Size of B:  250\n",
      "Number of Queries:  85\n",
      "Query85: is this a solution?\n",
      "[[[7 6]\n",
      "  [5 4]\n",
      "  [8 2]]\n",
      "\n",
      " [[6 4]\n",
      "  [5 8]\n",
      "  [1 1]]]\n",
      "Answer:  No\n",
      "Query86: is this a solution?\n",
      "[[[7 6]\n",
      "  [5 4]\n",
      "  [8 2]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) <= (shifts[0,2,1]), (shifts[0,2,0]) < (shifts[0,2,1]), (shifts[0,1,1]) <= (shifts[0,2,1])]\n",
      "Query87: is this a solution?\n",
      "[[[7 6]\n",
      "  [5 4]\n",
      "  [8 2]]\n",
      "\n",
      " [[6 4]\n",
      "  [5 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) > (shifts[1,0,1]), (shifts[0,0,1]) < (shifts[1,0,0]), (shifts[0,0,0]) <= (shifts[1,0,0]), (shifts[0,2,1]) >= (shifts[1,1,0]), (shifts[1,0,0]) <= (shifts[1,1,0]), (shifts[1,0,1]) == (shifts[1,1,0]), (shifts[0,2,0]) < (shifts[1,0,1]), (shifts[0,2,1]) > (shifts[1,0,0]), (shifts[0,1,0]) < (shifts[1,0,1]), (shifts[0,0,0]) < (shifts[1,1,0]), (shifts[0,0,0]) <= (shifts[1,0,1]), (shifts[1,0,1]) >= (shifts[1,1,0]), (shifts[0,1,1]) != (shifts[1,0,1]), (shifts[0,0,1]) <= (shifts[1,1,0]), (shifts[0,2,0]) <= (shifts[1,0,0]), (shifts[0,1,1]) > (shifts[1,0,0]), (shifts[1,0,0]) <= (shifts[1,0,1]), (shifts[0,0,0]) < (shifts[1,0,0]), (shifts[0,0,1]) < (shifts[1,0,1]), (shifts[0,1,0]) >= (shifts[1,0,0]), (shifts[0,1,1]) > (shifts[1,1,0]), (shifts[0,0,1]) != (shifts[1,0,0]), (shifts[0,2,0]) <= (shifts[1,0,1]), (shifts[0,2,0]) < (shifts[1,0,0]), (shifts[1,0,0]) < (shifts[1,0,1]), (shifts[0,2,0]) <= (shifts[1,1,0]), (shifts[0,1,0]) <= (shifts[1,0,1]), (shifts[1,0,0]) < (shifts[1,1,0]), (shifts[0,1,0]) < (shifts[1,1,0]), (shifts[0,2,1]) >= (shifts[1,0,0]), (shifts[0,1,0]) > (shifts[1,0,0]), (shifts[0,2,1]) > (shifts[1,0,1]), (shifts[0,0,0]) < (shifts[1,0,1]), (shifts[0,1,1]) >= (shifts[1,0,0]), (shifts[0,1,0]) != (shifts[1,1,0]), (shifts[0,0,1]) < (shifts[1,1,0]), (shifts[0,2,1]) >= (shifts[1,0,1]), (shifts[0,0,1]) <= (shifts[1,0,1]), (shifts[0,0,0]) <= (shifts[1,1,0]), (shifts[0,2,1]) > (shifts[1,1,0]), (shifts[0,2,0]) < (shifts[1,1,0]), (shifts[0,1,1]) >= (shifts[1,1,0])]\n",
      "Query88: is this a solution?\n",
      "[[[7 6]\n",
      "  [5 4]\n",
      "  [8 2]]\n",
      "\n",
      " [[6 4]\n",
      "  [5 8]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) == (shifts[1,1,1]), (shifts[1,0,0]) > (shifts[1,1,1]), (shifts[1,0,1]) >= (shifts[1,1,1]), (shifts[0,0,0]) == (shifts[1,1,1]), (shifts[0,0,1]) > (shifts[1,1,1]), (shifts[0,1,0]) >= (shifts[1,1,1]), (shifts[0,1,1]) == (shifts[1,1,1]), (shifts[0,1,1]) > (shifts[1,1,1]), (shifts[0,2,0]) < (shifts[1,1,1]), (shifts[0,0,1]) >= (shifts[1,1,1]), (shifts[0,1,0]) == (shifts[1,1,1]), (shifts[0,0,1]) == (shifts[1,1,1]), (shifts[0,2,1]) >= (shifts[1,1,1]), (shifts[1,0,1]) == (shifts[1,1,1]), (shifts[1,1,0]) >= (shifts[1,1,1]), (shifts[0,1,0]) > (shifts[1,1,1]), (shifts[0,1,1]) >= (shifts[1,1,1]), (shifts[1,0,1]) > (shifts[1,1,1]), (shifts[1,1,0]) == (shifts[1,1,1]), (shifts[1,0,0]) >= (shifts[1,1,1]), (shifts[0,0,0]) >= (shifts[1,1,1]), (shifts[0,2,1]) == (shifts[1,1,1]), (shifts[0,0,0]) > (shifts[1,1,1]), (shifts[0,2,0]) != (shifts[1,1,1]), (shifts[1,1,0]) > (shifts[1,1,1]), (shifts[0,2,1]) > (shifts[1,1,1]), (shifts[0,2,0]) > (shifts[1,1,1])]\n",
      "Query89: is this a solution?\n",
      "[[[7 6]\n",
      "  [5 4]\n",
      "  [8 2]]\n",
      "\n",
      " [[6 4]\n",
      "  [5 8]\n",
      "  [1 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) == (shifts[1,2,0]), (shifts[1,0,1]) < (shifts[1,2,0]), (shifts[0,2,1]) <= (shifts[1,2,0]), (shifts[1,0,1]) == (shifts[1,2,0]), (shifts[0,0,0]) <= (shifts[1,2,0]), (shifts[1,0,1]) <= (shifts[1,2,0]), (shifts[0,1,0]) < (shifts[1,2,0]), (shifts[1,0,0]) <= (shifts[1,2,0]), (shifts[0,0,1]) == (shifts[1,2,0]), (shifts[1,1,1]) == (shifts[1,2,0]), (shifts[0,1,1]) == (shifts[1,2,0]), (shifts[1,1,1]) < (shifts[1,2,0]), (shifts[1,1,0]) <= (shifts[1,2,0]), (shifts[1,1,0]) < (shifts[1,2,0]), (shifts[0,0,1]) <= (shifts[1,2,0]), (shifts[0,1,0]) <= (shifts[1,2,0]), (shifts[0,1,1]) < (shifts[1,2,0]), (shifts[0,0,0]) < (shifts[1,2,0]), (shifts[0,0,0]) == (shifts[1,2,0]), (shifts[0,2,1]) < (shifts[1,2,0]), (shifts[0,2,0]) < (shifts[1,2,0]), (shifts[0,0,1]) < (shifts[1,2,0]), (shifts[1,1,1]) <= (shifts[1,2,0]), (shifts[0,2,1]) == (shifts[1,2,0]), (shifts[1,0,0]) < (shifts[1,2,0]), (shifts[1,0,0]) == (shifts[1,2,0]), (shifts[0,2,0]) <= (shifts[1,2,0]), (shifts[0,1,1]) <= (shifts[1,2,0]), (shifts[0,2,0]) == (shifts[1,2,0]), (shifts[1,1,0]) == (shifts[1,2,0])]\n",
      "Query90: is this a solution?\n",
      "[[[7 6]\n",
      "  [5 4]\n",
      "  [8 2]]\n",
      "\n",
      " [[6 4]\n",
      "  [5 8]\n",
      "  [0 1]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) < (shifts[1,2,1]), (shifts[1,0,1]) == (shifts[1,2,1]), (shifts[1,0,0]) <= (shifts[1,2,1]), (shifts[1,1,0]) < (shifts[1,2,1]), (shifts[1,0,0]) < (shifts[1,2,1]), (shifts[0,2,0]) < (shifts[1,2,1]), (shifts[0,2,1]) <= (shifts[1,2,1]), (shifts[0,2,0]) <= (shifts[1,2,1]), (shifts[0,2,1]) < (shifts[1,2,1]), (shifts[1,1,1]) < (shifts[1,2,1]), (shifts[0,0,1]) <= (shifts[1,2,1]), (shifts[0,1,0]) <= (shifts[1,2,1]), (shifts[1,0,1]) < (shifts[1,2,1]), (shifts[0,0,1]) < (shifts[1,2,1]), (shifts[1,0,0]) == (shifts[1,2,1]), (shifts[1,0,1]) <= (shifts[1,2,1]), (shifts[0,0,0]) < (shifts[1,2,1]), (shifts[0,1,1]) <= (shifts[1,2,1]), (shifts[0,1,0]) < (shifts[1,2,1]), (shifts[0,0,1]) == (shifts[1,2,1]), (shifts[0,0,0]) <= (shifts[1,2,1]), (shifts[1,1,0]) == (shifts[1,2,1]), (shifts[0,0,0]) == (shifts[1,2,1]), (shifts[1,1,1]) == (shifts[1,2,1]), (shifts[0,1,1]) == (shifts[1,2,1]), (shifts[1,1,1]) <= (shifts[1,2,1]), (shifts[0,2,0]) == (shifts[1,2,1]), (shifts[1,1,0]) <= (shifts[1,2,1]), (shifts[0,1,0]) == (shifts[1,2,1]), (shifts[0,2,1]) == (shifts[1,2,1])]\n",
      "Query91: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [1 2]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,2,0]) > (shifts[1,2,1])]\n",
      "Query92: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [3 1]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,2,0]) < (shifts[1,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,2,0]) != (shifts[1,2,1])]\n",
      "Size of CL:  13\n",
      "Size of B:  115\n",
      "Number of Queries:  93\n",
      "Query93: is this a solution?\n",
      "[[[1 5]\n",
      "  [6 2]\n",
      "  [3 3]]\n",
      "\n",
      " [[3 6]\n",
      "  [3 1]\n",
      "  [7 8]]]\n",
      "Answer:  No\n",
      "Query94: is this a solution?\n",
      "[[[1 5]\n",
      "  [6 2]\n",
      "  [3 3]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,2,0]) != (shifts[0,2,1])]\n",
      "Size of CL:  14\n",
      "Size of B:  114\n",
      "Number of Queries:  95\n",
      "Query95: is this a solution?\n",
      "[[[5 6]\n",
      "  [4 3]\n",
      "  [7 5]]\n",
      "\n",
      " [[5 5]\n",
      "  [3 1]\n",
      "  [7 8]]]\n",
      "Answer:  No\n",
      "Query96: is this a solution?\n",
      "[[[5 6]\n",
      "  [4 3]\n",
      "  [7 5]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,2,1])]\n",
      "Size of CL:  15\n",
      "Size of B:  113\n",
      "Number of Queries:  97\n",
      "Query97: is this a solution?\n",
      "[[[2 6]\n",
      "  [5 4]\n",
      "  [3 5]]\n",
      "\n",
      " [[5 5]\n",
      "  [4 1]\n",
      "  [7 8]]]\n",
      "Answer:  No\n",
      "Query98: is this a solution?\n",
      "[[[2 6]\n",
      "  [5 4]\n",
      "  [3 5]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,1,0]) != (shifts[0,2,1])]\n",
      "Size of CL:  16\n",
      "Size of B:  112\n",
      "Number of Queries:  99\n",
      "Query99: is this a solution?\n",
      "[[[5 4]\n",
      "  [6 3]\n",
      "  [2 4]]\n",
      "\n",
      " [[2 4]\n",
      "  [2 1]\n",
      "  [6 7]]]\n",
      "Answer:  No\n",
      "Query100: is this a solution?\n",
      "[[[5 4]\n",
      "  [6 3]\n",
      "  [2 4]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,0,1]) != (shifts[0,2,1])]\n",
      "Size of CL:  17\n",
      "Size of B:  111\n",
      "Number of Queries:  101\n",
      "Query101: is this a solution?\n",
      "[[[6 4]\n",
      "  [7 5]\n",
      "  [3 2]]\n",
      "\n",
      " [[3 7]\n",
      "  [3 2]\n",
      "  [7 8]]]\n",
      "Answer:  No\n",
      "Query102: is this a solution?\n",
      "[[[6 4]\n",
      "  [7 5]\n",
      "  [3 2]]\n",
      "\n",
      " [[3 7]\n",
      "  [3 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query103: is this a solution?\n",
      "[[[6 4]\n",
      "  [7 5]\n",
      "  [3 2]]\n",
      "\n",
      " [[3 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query104: is this a solution?\n",
      "[[[6 4]\n",
      "  [7 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[3 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) <= (shifts[1,0,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,2,0]) != (shifts[1,0,0])]\n",
      "Size of CL:  18\n",
      "Size of B:  109\n",
      "Number of Queries:  105\n",
      "Query105: is this a solution?\n",
      "[[[6 4]\n",
      "  [7 5]\n",
      "  [3 1]]\n",
      "\n",
      " [[6 6]\n",
      "  [3 1]\n",
      "  [8 7]]]\n",
      "Answer:  No\n",
      "Query106: is this a solution?\n",
      "[[[6 4]\n",
      "  [7 5]\n",
      "  [3 1]]\n",
      "\n",
      " [[6 6]\n",
      "  [3 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query107: is this a solution?\n",
      "[[[6 4]\n",
      "  [7 5]\n",
      "  [3 1]]\n",
      "\n",
      " [[6 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) != (shifts[1,0,0])]\n",
      "Query108: is this a solution?\n",
      "[[[6 4]\n",
      "  [7 5]\n",
      "  [3 1]]\n",
      "\n",
      " [[6 6]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query109: is this a solution?\n",
      "[[[6 4]\n",
      "  [7 5]\n",
      "  [3 1]]\n",
      "\n",
      " [[0 6]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) >= (shifts[1,0,1]), (shifts[0,0,0]) != (shifts[1,0,1])]\n",
      "Query110: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[6 6]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,0,1])]\n",
      "Size of CL:  19\n",
      "Size of B:  105\n",
      "Number of Queries:  111\n",
      "Query111: is this a solution?\n",
      "[[[3 5]\n",
      "  [4 1]\n",
      "  [6 2]]\n",
      "\n",
      " [[1 6]\n",
      "  [1 1]\n",
      "  [8 6]]]\n",
      "Answer:  No\n",
      "Query112: is this a solution?\n",
      "[[[3 5]\n",
      "  [4 1]\n",
      "  [6 2]]\n",
      "\n",
      " [[1 6]\n",
      "  [1 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query113: is this a solution?\n",
      "[[[3 5]\n",
      "  [4 1]\n",
      "  [6 2]]\n",
      "\n",
      " [[1 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) != (shifts[1,0,0])]\n",
      "Query114: is this a solution?\n",
      "[[[3 5]\n",
      "  [4 1]\n",
      "  [6 2]]\n",
      "\n",
      " [[1 6]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query115: is this a solution?\n",
      "[[[3 5]\n",
      "  [4 1]\n",
      "  [6 2]]\n",
      "\n",
      " [[0 6]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,2,0]) != (shifts[1,0,1])]\n",
      "Size of CL:  20\n",
      "Size of B:  103\n",
      "Number of Queries:  116\n",
      "Query116: is this a solution?\n",
      "[[[3 5]\n",
      "  [6 1]\n",
      "  [4 2]]\n",
      "\n",
      " [[2 5]\n",
      "  [2 1]\n",
      "  [7 6]]]\n",
      "Answer:  No\n",
      "Query117: is this a solution?\n",
      "[[[3 5]\n",
      "  [6 1]\n",
      "  [4 2]]\n",
      "\n",
      " [[2 5]\n",
      "  [2 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query118: is this a solution?\n",
      "[[[3 5]\n",
      "  [6 1]\n",
      "  [4 2]]\n",
      "\n",
      " [[2 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,2,1]) != (shifts[1,0,0])]\n",
      "Size of CL:  21\n",
      "Size of B:  102\n",
      "Number of Queries:  119\n",
      "Query119: is this a solution?\n",
      "[[[2 7]\n",
      "  [4 5]\n",
      "  [3 6]]\n",
      "\n",
      " [[4 7]\n",
      "  [3 2]\n",
      "  [7 8]]]\n",
      "Answer:  No\n",
      "Query120: is this a solution?\n",
      "[[[2 7]\n",
      "  [4 5]\n",
      "  [3 6]]\n",
      "\n",
      " [[4 7]\n",
      "  [3 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) != (shifts[1,1,0]), (shifts[0,0,1]) != (shifts[1,0,1]), (shifts[0,1,0]) <= (shifts[1,1,0]), (shifts[0,1,0]) != (shifts[1,0,0]), (shifts[1,0,1]) <= (shifts[1,1,0])]\n",
      "Query121: is this a solution?\n",
      "[[[2 7]\n",
      "  [4 5]\n",
      "  [3 6]]\n",
      "\n",
      " [[4 7]\n",
      "  [3 2]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) <= (shifts[1,1,1]), (shifts[0,0,0]) != (shifts[1,1,1]), (shifts[1,0,0]) < (shifts[1,1,1]), (shifts[0,0,1]) < (shifts[1,1,1]), (shifts[1,1,0]) < (shifts[1,1,1]), (shifts[0,2,1]) <= (shifts[1,1,1]), (shifts[0,1,0]) <= (shifts[1,1,1]), (shifts[1,0,1]) <= (shifts[1,1,1]), (shifts[0,1,1]) < (shifts[1,1,1]), (shifts[0,0,0]) < (shifts[1,1,1]), (shifts[1,0,0]) <= (shifts[1,1,1]), (shifts[1,1,0]) <= (shifts[1,1,1]), (shifts[0,0,1]) <= (shifts[1,1,1]), (shifts[1,0,1]) < (shifts[1,1,1]), (shifts[0,2,0]) == (shifts[1,1,1]), (shifts[0,1,0]) < (shifts[1,1,1]), (shifts[0,2,1]) < (shifts[1,1,1]), (shifts[0,2,0]) <= (shifts[1,1,1])]\n",
      "Query122: is this a solution?\n",
      "[[[2 7]\n",
      "  [4 5]\n",
      "  [3 6]]\n",
      "\n",
      " [[4 7]\n",
      "  [3 2]\n",
      "  [7 0]]]\n",
      "Answer:  No\n",
      "Query123: is this a solution?\n",
      "[[[2 7]\n",
      "  [4 5]\n",
      "  [3 6]]\n",
      "\n",
      " [[4 7]\n",
      "  [3 0]\n",
      "  [7 0]]]\n",
      "Answer:  No\n",
      "Query124: is this a solution?\n",
      "[[[2 7]\n",
      "  [4 5]\n",
      "  [3 6]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [7 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) > (shifts[1,2,0]), (shifts[0,0,0]) >= (shifts[1,2,0]), (shifts[0,2,0]) > (shifts[1,2,0]), (shifts[0,1,1]) >= (shifts[1,2,0]), (shifts[0,2,0]) >= (shifts[1,2,0]), (shifts[0,1,0]) >= (shifts[1,2,0]), (shifts[0,0,0]) > (shifts[1,2,0]), (shifts[0,0,1]) != (shifts[1,2,0]), (shifts[0,2,1]) > (shifts[1,2,0]), (shifts[0,1,1]) > (shifts[1,2,0]), (shifts[0,1,0]) > (shifts[1,2,0]), (shifts[0,2,1]) >= (shifts[1,2,0])]\n",
      "Query125: is this a solution?\n",
      "[[[2 7]\n",
      "  [4 5]\n",
      "  [3 6]]\n",
      "\n",
      " [[4 0]\n",
      "  [0 0]\n",
      "  [7 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) > (shifts[1,2,0]), (shifts[1,0,0]) >= (shifts[1,2,0])]\n",
      "Query126: is this a solution?\n",
      "[[[2 7]\n",
      "  [4 5]\n",
      "  [3 6]]\n",
      "\n",
      " [[4 7]\n",
      "  [0 0]\n",
      "  [7 0]]]\n",
      "Answer:  No\n",
      "Query127: is this a solution?\n",
      "[[[2 7]\n",
      "  [4 5]\n",
      "  [3 6]]\n",
      "\n",
      " [[0 7]\n",
      "  [0 0]\n",
      "  [7 0]]]\n",
      "Answer:  No\n",
      "Query128: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 7]\n",
      "  [0 0]\n",
      "  [7 0]]]\n",
      "Answer:  No\n",
      "Query129: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 6]\n",
      "  [0 0]\n",
      "  [8 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,1]) > (shifts[1,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[1,0,1]) != (shifts[1,2,0])]\n",
      "Size of CL:  22\n",
      "Size of B:  63\n",
      "Number of Queries:  130\n",
      "Query130: is this a solution?\n",
      "[[[5 1]\n",
      "  [2 4]\n",
      "  [3 6]]\n",
      "\n",
      " [[4 2]\n",
      "  [4 4]\n",
      "  [4 6]]]\n",
      "Answer:  No\n",
      "Query131: is this a solution?\n",
      "[[[5 1]\n",
      "  [2 4]\n",
      "  [3 6]]\n",
      "\n",
      " [[4 2]\n",
      "  [4 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query132: is this a solution?\n",
      "[[[5 1]\n",
      "  [2 4]\n",
      "  [3 6]]\n",
      "\n",
      " [[4 2]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) != (shifts[1,0,1])]\n",
      "Query133: is this a solution?\n",
      "[[[5 1]\n",
      "  [2 4]\n",
      "  [3 6]]\n",
      "\n",
      " [[0 0]\n",
      "  [4 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) != (shifts[1,1,0])]\n",
      "Query134: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[4 0]\n",
      "  [4 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,1,0])]\n",
      "Size of CL:  23\n",
      "Size of B:  60\n",
      "Number of Queries:  135\n",
      "Query135: is this a solution?\n",
      "[[[6 3]\n",
      "  [7 4]\n",
      "  [1 5]]\n",
      "\n",
      " [[6 5]\n",
      "  [3 3]\n",
      "  [6 7]]]\n",
      "Answer:  No\n",
      "Query136: is this a solution?\n",
      "[[[6 3]\n",
      "  [7 4]\n",
      "  [1 5]]\n",
      "\n",
      " [[6 5]\n",
      "  [3 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query137: is this a solution?\n",
      "[[[6 3]\n",
      "  [7 4]\n",
      "  [1 5]]\n",
      "\n",
      " [[6 5]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query138: is this a solution?\n",
      "[[[6 3]\n",
      "  [7 4]\n",
      "  [1 5]]\n",
      "\n",
      " [[0 5]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,2,1]) != (shifts[1,0,1])]\n",
      "Size of CL:  24\n",
      "Size of B:  59\n",
      "Number of Queries:  139\n",
      "Query139: is this a solution?\n",
      "[[[5 4]\n",
      "  [2 6]\n",
      "  [1 3]]\n",
      "\n",
      " [[6 2]\n",
      "  [5 2]\n",
      "  [6 7]]]\n",
      "Answer:  No\n",
      "Query140: is this a solution?\n",
      "[[[5 4]\n",
      "  [2 6]\n",
      "  [1 3]]\n",
      "\n",
      " [[6 2]\n",
      "  [5 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) != (shifts[1,1,0])]\n",
      "Query141: is this a solution?\n",
      "[[[5 4]\n",
      "  [2 6]\n",
      "  [1 3]]\n",
      "\n",
      " [[6 2]\n",
      "  [5 2]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query142: is this a solution?\n",
      "[[[5 4]\n",
      "  [2 6]\n",
      "  [1 3]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 2]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) != (shifts[1,1,1]), (shifts[0,2,0]) >= (shifts[1,1,1]), (shifts[0,0,0]) <= (shifts[1,1,1])]\n",
      "Query143: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 2]\n",
      "  [0 2]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,1]) != (shifts[1,1,1])]\n",
      "Size of CL:  25\n",
      "Size of B:  54\n",
      "Number of Queries:  144\n",
      "Query144: is this a solution?\n",
      "[[[4 3]\n",
      "  [1 5]\n",
      "  [2 6]]\n",
      "\n",
      " [[5 4]\n",
      "  [3 3]\n",
      "  [5 7]]]\n",
      "Answer:  No\n",
      "Query145: is this a solution?\n",
      "[[[4 3]\n",
      "  [1 5]\n",
      "  [2 6]]\n",
      "\n",
      " [[5 4]\n",
      "  [3 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) != (shifts[1,1,0])]\n",
      "Query146: is this a solution?\n",
      "[[[4 3]\n",
      "  [1 5]\n",
      "  [2 6]]\n",
      "\n",
      " [[5 4]\n",
      "  [3 3]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query147: is this a solution?\n",
      "[[[4 3]\n",
      "  [1 5]\n",
      "  [2 6]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 3]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) != (shifts[1,1,1])]\n",
      "Query148: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 3]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,1,0]) != (shifts[1,1,1])]\n",
      "Size of CL:  26\n",
      "Size of B:  51\n",
      "Number of Queries:  149\n",
      "Query149: is this a solution?\n",
      "[[[5 1]\n",
      "  [7 4]\n",
      "  [3 2]]\n",
      "\n",
      " [[4 1]\n",
      "  [2 4]\n",
      "  [4 7]]]\n",
      "Answer:  No\n",
      "Query150: is this a solution?\n",
      "[[[5 1]\n",
      "  [7 4]\n",
      "  [3 2]]\n",
      "\n",
      " [[4 1]\n",
      "  [2 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) != (shifts[1,1,0])]\n",
      "Query151: is this a solution?\n",
      "[[[5 1]\n",
      "  [7 4]\n",
      "  [3 2]]\n",
      "\n",
      " [[4 1]\n",
      "  [2 4]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query152: is this a solution?\n",
      "[[[5 1]\n",
      "  [7 4]\n",
      "  [3 2]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 4]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) != (shifts[1,1,1])]\n",
      "Query153: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[4 0]\n",
      "  [0 4]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,1,1])]\n",
      "Size of CL:  27\n",
      "Size of B:  48\n",
      "Number of Queries:  154\n",
      "Query154: is this a solution?\n",
      "[[[4 1]\n",
      "  [3 5]\n",
      "  [6 2]]\n",
      "\n",
      " [[4 1]\n",
      "  [3 2]\n",
      "  [4 6]]]\n",
      "Answer:  No\n",
      "Query155: is this a solution?\n",
      "[[[4 1]\n",
      "  [3 5]\n",
      "  [6 2]]\n",
      "\n",
      " [[4 1]\n",
      "  [3 2]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) != (shifts[1,1,1])]\n",
      "Query156: is this a solution?\n",
      "[[[4 1]\n",
      "  [3 5]\n",
      "  [6 2]]\n",
      "\n",
      " [[4 1]\n",
      "  [3 2]\n",
      "  [4 0]]]\n",
      "Answer:  No\n",
      "Query157: is this a solution?\n",
      "[[[4 1]\n",
      "  [3 5]\n",
      "  [6 2]]\n",
      "\n",
      " [[4 1]\n",
      "  [3 0]\n",
      "  [4 0]]]\n",
      "Answer:  No\n",
      "Query158: is this a solution?\n",
      "[[[4 1]\n",
      "  [3 5]\n",
      "  [6 2]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [4 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) >= (shifts[1,2,0]), (shifts[0,0,0]) != (shifts[1,2,0])]\n",
      "Query159: is this a solution?\n",
      "[[[4 1]\n",
      "  [3 5]\n",
      "  [6 2]]\n",
      "\n",
      " [[4 0]\n",
      "  [0 0]\n",
      "  [4 0]]]\n",
      "Answer:  No\n",
      "Query160: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[4 0]\n",
      "  [0 0]\n",
      "  [4 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,2,0])]\n",
      "Size of CL:  28\n",
      "Size of B:  44\n",
      "Number of Queries:  161\n",
      "Query161: is this a solution?\n",
      "[[[6 1]\n",
      "  [8 3]\n",
      "  [5 7]]\n",
      "\n",
      " [[4 1]\n",
      "  [3 2]\n",
      "  [3 8]]]\n",
      "Answer:  No\n",
      "Query162: is this a solution?\n",
      "[[[6 1]\n",
      "  [8 3]\n",
      "  [5 7]]\n",
      "\n",
      " [[4 1]\n",
      "  [3 2]\n",
      "  [3 0]]]\n",
      "Answer:  No\n",
      "Query163: is this a solution?\n",
      "[[[6 1]\n",
      "  [8 3]\n",
      "  [5 7]]\n",
      "\n",
      " [[4 1]\n",
      "  [3 0]\n",
      "  [3 0]]]\n",
      "Answer:  No\n",
      "Query164: is this a solution?\n",
      "[[[6 1]\n",
      "  [8 3]\n",
      "  [5 7]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [3 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) != (shifts[1,2,0])]\n",
      "Query165: is this a solution?\n",
      "[[[6 1]\n",
      "  [8 3]\n",
      "  [5 7]]\n",
      "\n",
      " [[4 1]\n",
      "  [0 0]\n",
      "  [3 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,1]) >= (shifts[1,2,0])]\n",
      "Query166: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 0]\n",
      "  [3 0]]]\n",
      "Answer:  No\n",
      "Query167: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [6 0]\n",
      "  [8 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,0]) > (shifts[1,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[1,1,0]) != (shifts[1,2,0])]\n",
      "Size of CL:  29\n",
      "Size of B:  40\n",
      "Number of Queries:  168\n",
      "Query168: is this a solution?\n",
      "[[[3 7]\n",
      "  [4 2]\n",
      "  [6 5]]\n",
      "\n",
      " [[1 3]\n",
      "  [4 2]\n",
      "  [5 7]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) >= (shifts[1,2,1]), (shifts[0,2,1]) > (shifts[1,2,1]), (shifts[0,2,0]) > (shifts[1,2,1]), (shifts[1,2,0]) >= (shifts[1,2,1]), (shifts[1,1,0]) >= (shifts[1,2,0]), (shifts[0,1,1]) > (shifts[1,2,1]), (shifts[1,1,1]) >= (shifts[1,2,0]), (shifts[1,1,1]) > (shifts[1,2,1]), (shifts[0,1,1]) >= (shifts[1,2,1]), (shifts[0,0,1]) > (shifts[1,2,1]), (shifts[1,0,1]) >= (shifts[1,2,1]), (shifts[0,0,0]) >= (shifts[1,2,1]), (shifts[1,1,0]) > (shifts[1,2,1]), (shifts[1,0,0]) >= (shifts[1,2,1]), (shifts[0,1,0]) >= (shifts[1,2,1]), (shifts[1,1,1]) > (shifts[1,2,0]), (shifts[0,2,0]) >= (shifts[1,2,1]), (shifts[0,0,0]) > (shifts[1,2,1]), (shifts[1,1,1]) >= (shifts[1,2,1]), (shifts[1,2,0]) == (shifts[1,2,1]), (shifts[1,0,0]) > (shifts[1,2,1]), (shifts[1,0,1]) > (shifts[1,2,1]), (shifts[0,2,1]) != (shifts[1,2,0]), (shifts[1,1,0]) >= (shifts[1,2,1]), (shifts[0,1,0]) > (shifts[1,2,1]), (shifts[0,0,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  29\n",
      "Size of B:  14\n",
      "Number of Queries:  169\n",
      "Query169: is this a solution?\n",
      "[[[4 2]\n",
      "  [5 6]\n",
      "  [7 1]]\n",
      "\n",
      " [[6 8]\n",
      "  [1 7]\n",
      "  [7 6]]]\n",
      "Answer:  No\n",
      "Query170: is this a solution?\n",
      "[[[4 2]\n",
      "  [5 6]\n",
      "  [7 1]]\n",
      "\n",
      " [[6 8]\n",
      "  [1 7]\n",
      "  [7 0]]]\n",
      "Answer:  No\n",
      "Query171: is this a solution?\n",
      "[[[4 2]\n",
      "  [5 6]\n",
      "  [7 1]]\n",
      "\n",
      " [[6 8]\n",
      "  [1 0]\n",
      "  [7 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) != (shifts[1,2,0])]\n",
      "Query172: is this a solution?\n",
      "[[[4 2]\n",
      "  [5 6]\n",
      "  [7 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 7]\n",
      "  [7 0]]]\n",
      "Answer:  No\n",
      "Query173: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 7]\n",
      "  [7 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,1,1]) != (shifts[1,2,0])]\n",
      "Size of CL:  30\n",
      "Size of B:  12\n",
      "Number of Queries:  174\n",
      "Query174: is this a solution?\n",
      "[[[2 1]\n",
      "  [3 5]\n",
      "  [6 4]]\n",
      "\n",
      " [[2 5]\n",
      "  [6 1]\n",
      "  [3 2]]]\n",
      "Answer:  No\n",
      "Query175: is this a solution?\n",
      "[[[2 1]\n",
      "  [3 5]\n",
      "  [6 4]]\n",
      "\n",
      " [[2 5]\n",
      "  [6 1]\n",
      "  [3 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) != (shifts[1,2,0])]\n",
      "Query176: is this a solution?\n",
      "[[[2 1]\n",
      "  [3 5]\n",
      "  [6 4]]\n",
      "\n",
      " [[2 5]\n",
      "  [6 1]\n",
      "  [0 2]]]\n",
      "Answer:  No\n",
      "Query177: is this a solution?\n",
      "[[[2 1]\n",
      "  [3 5]\n",
      "  [6 4]]\n",
      "\n",
      " [[2 5]\n",
      "  [6 0]\n",
      "  [0 2]]]\n",
      "Answer:  No\n",
      "Query178: is this a solution?\n",
      "[[[2 1]\n",
      "  [3 5]\n",
      "  [6 4]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 2]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) >= (shifts[1,2,1]), (shifts[0,0,0]) != (shifts[1,2,1])]\n",
      "Query179: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[2 0]\n",
      "  [0 0]\n",
      "  [0 2]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,2,1])]\n",
      "Size of CL:  31\n",
      "Size of B:  8\n",
      "Number of Queries:  180\n",
      "Query180: is this a solution?\n",
      "[[[0 0]\n",
      "  [2 4]\n",
      "  [1 3]]\n",
      "\n",
      " [[0 2]\n",
      "  [1 4]\n",
      "  [3 2]]]\n",
      "Answer:  No\n",
      "Query181: is this a solution?\n",
      "[[[0 0]\n",
      "  [2 0]\n",
      "  [1 0]]\n",
      "\n",
      " [[0 2]\n",
      "  [1 4]\n",
      "  [0 2]]]\n",
      "Answer:  No\n",
      "Query182: is this a solution?\n",
      "[[[0 0]\n",
      "  [2 0]\n",
      "  [1 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 2]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) != (shifts[1,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,0,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  32\n",
      "Size of B:  6\n",
      "Number of Queries:  183\n",
      "Query183: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 3]\n",
      "  [2 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [2 1]\n",
      "  [3 2]]]\n",
      "Answer:  No\n",
      "Query184: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [2 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [2 0]\n",
      "  [0 2]]]\n",
      "Answer:  No\n",
      "Query185: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [2 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 2]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) != (shifts[1,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,1,0]) != (shifts[1,2,1])]\n",
      "Size of CL:  33\n",
      "Size of B:  4\n",
      "Number of Queries:  186\n",
      "Query186: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 2]\n",
      "  [0 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 1]\n",
      "  [2 1]]]\n",
      "Answer:  No\n",
      "Query187: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 1]\n",
      "  [0 1]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,1,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  34\n",
      "Size of B:  3\n",
      "Number of Queries:  188\n",
      "Query188: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 2]\n",
      "  [0 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [2 1]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,2,0]) <= (shifts[1,2,1]), (shifts[0,2,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  34\n",
      "Size of B:  1\n",
      "Number of Queries:  189\n",
      "Query189: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 1]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 1]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  34\n",
      "Size of B:  0\n",
      "Number of Queries:  190\n",
      "\n",
      "Learned 34 constraints in 190 queries.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Query106: is this a solution?\n",
      "[[[2 8]\n",
      "  [1 5]\n",
      "  [2 1]]\n",
      "\n",
      " [[1 5]\n",
      "  [2 3]\n",
      "  [2 2]]]\n",
      "Answer:  No\n",
      "Query107: is this a solution?\n",
      "[[[0 8]\n",
      "  [1 5]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [0 3]\n",
      "  [2 2]]]\n",
      "Answer:  No\n",
      "Query108: is this a solution?\n",
      "[[[0 8]\n",
      "  [1 5]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [0 0]\n",
      "  [2 2]]]\n",
      "Answer:  No\n",
      "Query109: is this a solution?\n",
      "[[[0 0]\n",
      "  [1 5]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [0 0]\n",
      "  [2 2]]]\n",
      "Answer:  No\n",
      "Query110: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [0 0]\n",
      "  [0 2]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) != (shifts[1,2,1]), (shifts[1,0,0]) >= (shifts[1,2,1])]\n",
      "Query111: is this a solution?\n",
      "[[[0 0]\n",
      "  [1 0]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [0 0]\n",
      "  [0 2]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) > (shifts[1,2,1]), (shifts[0,1,0]) >= (shifts[1,2,1])]\n",
      "Query112: is this a solution?\n",
      "[[[0 0]\n",
      "  [1 0]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [0 0]\n",
      "  [2 2]]]\n",
      "Answer:  No\n",
      "Query113: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [0 0]\n",
      "  [2 2]]]\n",
      "Answer:  No\n",
      "Query114: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [2 2]]]\n",
      "Answer:  No\n",
      "Query115: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [3 1]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,2,0]) < (shifts[1,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,2,0]) != (shifts[1,2,1])]\n",
      "Size of CL:  15\n",
      "Size of B:  233\n",
      "Number of Queries:  116\n",
      "Query116: is this a solution?\n",
      "[[[7 2]\n",
      "  [4 6]\n",
      "  [7 6]]\n",
      "\n",
      " [[6 3]\n",
      "  [6 6]\n",
      "  [7 4]]]\n",
      "Answer:  No\n",
      "Query117: is this a solution?\n",
      "[[[0 2]\n",
      "  [4 6]\n",
      "  [7 0]]\n",
      "\n",
      " [[6 3]\n",
      "  [0 6]\n",
      "  [7 4]]]\n",
      "Answer:  No\n",
      "Query118: is this a solution?\n",
      "[[[0 2]\n",
      "  [4 6]\n",
      "  [7 0]]\n",
      "\n",
      " [[6 3]\n",
      "  [0 0]\n",
      "  [7 4]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) <= (shifts[1,2,1]), (shifts[1,2,0]) <= (shifts[1,2,1]), (shifts[0,1,1]) < (shifts[1,2,1]), (shifts[0,1,0]) != (shifts[1,2,1]), (shifts[0,0,1]) == (shifts[1,2,1]), (shifts[0,0,1]) >= (shifts[1,2,1])]\n",
      "Query119: is this a solution?\n",
      "[[[0 2]\n",
      "  [4 6]\n",
      "  [7 0]]\n",
      "\n",
      " [[6 3]\n",
      "  [0 6]\n",
      "  [7 0]]]\n",
      "Answer:  No\n",
      "Query120: is this a solution?\n",
      "[[[0 0]\n",
      "  [4 6]\n",
      "  [7 0]]\n",
      "\n",
      " [[6 3]\n",
      "  [0 6]\n",
      "  [7 0]]]\n",
      "Answer:  No\n",
      "Query121: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [7 0]]\n",
      "\n",
      " [[6 3]\n",
      "  [0 6]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query122: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 3]\n",
      "  [0 6]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,1]) >= (shifts[1,1,1]), (shifts[1,0,1]) == (shifts[1,1,1])]\n",
      "Query123: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [7 0]]\n",
      "\n",
      " [[0 3]\n",
      "  [0 6]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) < (shifts[1,1,1]), (shifts[0,2,0]) == (shifts[1,1,1]), (shifts[0,2,0]) <= (shifts[1,1,1])]\n",
      "Query124: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[2 0]\n",
      "  [0 1]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) < (shifts[1,1,1])]\n",
      "Query125: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[6 0]\n",
      "  [0 8]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) > (shifts[1,1,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,1,1])]\n",
      "Size of CL:  16\n",
      "Size of B:  219\n",
      "Number of Queries:  126\n",
      "Query126: is this a solution?\n",
      "[[[1 6]\n",
      "  [7 5]\n",
      "  [1 1]]\n",
      "\n",
      " [[2 6]\n",
      "  [1 1]\n",
      "  [1 5]]]\n",
      "Answer:  No\n",
      "Query127: is this a solution?\n",
      "[[[0 6]\n",
      "  [7 5]\n",
      "  [1 0]]\n",
      "\n",
      " [[2 6]\n",
      "  [0 1]\n",
      "  [1 5]]]\n",
      "Answer:  No\n",
      "Query128: is this a solution?\n",
      "[[[0 6]\n",
      "  [7 5]\n",
      "  [1 0]]\n",
      "\n",
      " [[2 6]\n",
      "  [0 0]\n",
      "  [1 5]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) <= (shifts[1,2,1]), (shifts[0,1,1]) != (shifts[1,2,1])]\n",
      "Query129: is this a solution?\n",
      "[[[0 6]\n",
      "  [7 5]\n",
      "  [1 0]]\n",
      "\n",
      " [[2 6]\n",
      "  [0 1]\n",
      "  [1 0]]]\n",
      "Answer:  No\n",
      "Query130: is this a solution?\n",
      "[[[0 0]\n",
      "  [7 5]\n",
      "  [1 0]]\n",
      "\n",
      " [[2 6]\n",
      "  [0 1]\n",
      "  [1 0]]]\n",
      "Answer:  No\n",
      "Query131: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [1 0]]\n",
      "\n",
      " [[2 6]\n",
      "  [0 1]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) == (shifts[1,1,1]), (shifts[0,2,0]) > (shifts[1,1,1]), (shifts[1,0,0]) <= (shifts[1,1,1]), (shifts[0,2,0]) != (shifts[1,1,1]), (shifts[1,0,1]) <= (shifts[1,1,1])]\n",
      "Query132: is this a solution?\n",
      "[[[0 0]\n",
      "  [7 0]\n",
      "  [1 0]]\n",
      "\n",
      " [[2 6]\n",
      "  [0 1]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) <= (shifts[1,1,1]), (shifts[0,1,0]) < (shifts[1,1,1]), (shifts[0,1,0]) == (shifts[1,1,1])]\n",
      "Query133: is this a solution?\n",
      "[[[0 0]\n",
      "  [7 0]\n",
      "  [1 0]]\n",
      "\n",
      " [[2 6]\n",
      "  [0 1]\n",
      "  [1 0]]]\n",
      "Answer:  No\n",
      "Query134: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [1 0]]\n",
      "\n",
      " [[2 6]\n",
      "  [0 1]\n",
      "  [1 0]]]\n",
      "Answer:  No\n",
      "Query135: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 1]\n",
      "  [1 0]]]\n",
      "Answer:  No\n",
      "Query136: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 2]\n",
      "  [1 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,1]) < (shifts[1,2,0])]\n",
      "Query137: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 6]\n",
      "  [8 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,1]) > (shifts[1,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[1,1,1]) != (shifts[1,2,0])]\n",
      "Size of CL:  17\n",
      "Size of B:  206\n",
      "Number of Queries:  138\n",
      "Query138: is this a solution?\n",
      "[[[1 2]\n",
      "  [1 3]\n",
      "  [4 1]]\n",
      "\n",
      " [[3 2]\n",
      "  [1 7]\n",
      "  [4 1]]]\n",
      "Answer:  No\n",
      "Query139: is this a solution?\n",
      "[[[0 2]\n",
      "  [1 3]\n",
      "  [4 0]]\n",
      "\n",
      " [[3 2]\n",
      "  [0 7]\n",
      "  [4 1]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) > (shifts[1,1,1]), (shifts[0,1,1]) >= (shifts[1,1,1]), (shifts[0,1,0]) > (shifts[1,1,1]), (shifts[1,1,1]) < (shifts[1,2,1]), (shifts[1,1,1]) <= (shifts[1,2,0]), (shifts[1,1,1]) <= (shifts[1,2,1]), (shifts[0,0,1]) >= (shifts[1,1,1]), (shifts[1,1,1]) == (shifts[1,2,0]), (shifts[0,0,1]) > (shifts[1,1,1]), (shifts[0,0,1]) == (shifts[1,1,1]), (shifts[1,0,0]) >= (shifts[1,1,1]), (shifts[1,1,1]) == (shifts[1,2,1]), (shifts[0,1,0]) >= (shifts[1,1,1]), (shifts[0,1,1]) == (shifts[1,1,1]), (shifts[0,2,0]) >= (shifts[1,1,1])]\n",
      "Query140: is this a solution?\n",
      "[[[1 2]\n",
      "  [1 3]\n",
      "  [4 0]]\n",
      "\n",
      " [[3 2]\n",
      "  [0 7]\n",
      "  [4 1]]]\n",
      "Answer:  No\n",
      "Query141: is this a solution?\n",
      "[[[1 0]\n",
      "  [1 3]\n",
      "  [4 0]]\n",
      "\n",
      " [[3 2]\n",
      "  [0 0]\n",
      "  [4 0]]]\n",
      "Answer:  No\n",
      "Query142: is this a solution?\n",
      "[[[1 0]\n",
      "  [0 0]\n",
      "  [4 0]]\n",
      "\n",
      " [[3 2]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) == (shifts[1,0,0]), (shifts[0,0,0]) == (shifts[1,0,1]), (shifts[0,0,0]) > (shifts[1,0,1]), (shifts[0,0,0]) >= (shifts[1,0,0]), (shifts[0,0,0]) >= (shifts[0,2,0]), (shifts[0,0,0]) == (shifts[0,2,0]), (shifts[0,0,0]) > (shifts[0,2,0]), (shifts[0,0,0]) >= (shifts[1,0,1]), (shifts[0,0,0]) > (shifts[1,0,0])]\n",
      "Query143: is this a solution?\n",
      "[[[1 0]\n",
      "  [1 0]\n",
      "  [4 0]]\n",
      "\n",
      " [[3 2]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query144: is this a solution?\n",
      "[[[1 0]\n",
      "  [1 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query145: is this a solution?\n",
      "[[[1 0]\n",
      "  [2 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,1,0])]\n",
      "Query146: is this a solution?\n",
      "[[[3 0]\n",
      "  [1 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) < (shifts[0,1,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,1,0])]\n",
      "Size of CL:  18\n",
      "Size of B:  179\n",
      "Number of Queries:  147\n",
      "Query147: is this a solution?\n",
      "[[[6 6]\n",
      "  [3 7]\n",
      "  [4 6]]\n",
      "\n",
      " [[5 2]\n",
      "  [6 3]\n",
      "  [6 7]]]\n",
      "Answer:  No\n",
      "Query148: is this a solution?\n",
      "[[[0 6]\n",
      "  [3 7]\n",
      "  [4 0]]\n",
      "\n",
      " [[5 2]\n",
      "  [0 3]\n",
      "  [6 7]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) < (shifts[1,1,1]), (shifts[1,1,1]) > (shifts[1,2,1]), (shifts[1,1,1]) >= (shifts[1,2,0]), (shifts[1,1,1]) >= (shifts[1,2,1]), (shifts[0,1,1]) <= (shifts[1,1,1]), (shifts[0,1,0]) != (shifts[1,1,1]), (shifts[0,0,1]) < (shifts[1,1,1]), (shifts[0,0,1]) <= (shifts[1,1,1])]\n",
      "Query149: is this a solution?\n",
      "[[[6 6]\n",
      "  [3 7]\n",
      "  [4 0]]\n",
      "\n",
      " [[5 2]\n",
      "  [0 3]\n",
      "  [6 7]]]\n",
      "Answer:  No\n",
      "Query150: is this a solution?\n",
      "[[[6 0]\n",
      "  [3 7]\n",
      "  [4 0]]\n",
      "\n",
      " [[5 2]\n",
      "  [0 0]\n",
      "  [6 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) < (shifts[1,0,0]), (shifts[0,0,0]) <= (shifts[1,0,0]), (shifts[0,0,0]) == (shifts[0,1,0]), (shifts[0,0,0]) <= (shifts[0,1,0]), (shifts[0,0,0]) > (shifts[1,2,0]), (shifts[0,0,0]) >= (shifts[0,1,1]), (shifts[0,0,0]) <= (shifts[1,0,1]), (shifts[0,0,0]) < (shifts[0,2,0]), (shifts[0,0,0]) < (shifts[1,2,0]), (shifts[0,0,0]) < (shifts[1,0,1]), (shifts[0,0,0]) != (shifts[1,2,0]), (shifts[0,0,0]) > (shifts[0,1,1]), (shifts[0,0,0]) == (shifts[0,1,1]), (shifts[0,0,0]) <= (shifts[0,2,0])]\n",
      "Query151: is this a solution?\n",
      "[[[6 6]\n",
      "  [3 7]\n",
      "  [4 0]]\n",
      "\n",
      " [[5 2]\n",
      "  [0 0]\n",
      "  [6 0]]]\n",
      "Answer:  No\n",
      "Query152: is this a solution?\n",
      "[[[6 6]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query153: is this a solution?\n",
      "[[[1 2]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,0,1])]\n",
      "Query154: is this a solution?\n",
      "[[[3 1]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) < (shifts[0,0,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,0,1])]\n",
      "Size of CL:  19\n",
      "Size of B:  154\n",
      "Number of Queries:  155\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Query155: is this a solution?\n",
      "[[[1 3]\n",
      "  [4 1]\n",
      "  [2 1]]\n",
      "\n",
      " [[4 1]\n",
      "  [2 3]\n",
      "  [7 3]]]\n",
      "Answer:  No\n",
      "Query156: is this a solution?\n",
      "[[[0 3]\n",
      "  [4 1]\n",
      "  [2 0]]\n",
      "\n",
      " [[4 1]\n",
      "  [0 3]\n",
      "  [7 3]]]\n",
      "Answer:  No\n",
      "Query157: is this a solution?\n",
      "[[[0 3]\n",
      "  [4 1]\n",
      "  [2 0]]\n",
      "\n",
      " [[4 1]\n",
      "  [0 3]\n",
      "  [7 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) != (shifts[1,1,1])]\n",
      "Query158: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 3]\n",
      "  [0 3]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,1,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  20\n",
      "Size of B:  152\n",
      "Number of Queries:  159\n",
      "Query159: is this a solution?\n",
      "[[[4 2]\n",
      "  [5 3]\n",
      "  [4 4]]\n",
      "\n",
      " [[1 2]\n",
      "  [4 3]\n",
      "  [5 4]]]\n",
      "Answer:  No\n",
      "Query160: is this a solution?\n",
      "[[[0 2]\n",
      "  [5 3]\n",
      "  [4 0]]\n",
      "\n",
      " [[1 2]\n",
      "  [0 3]\n",
      "  [5 4]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) != (shifts[1,1,1])]\n",
      "Query161: is this a solution?\n",
      "[[[4 2]\n",
      "  [5 3]\n",
      "  [4 0]]\n",
      "\n",
      " [[1 2]\n",
      "  [0 3]\n",
      "  [5 4]]]\n",
      "Answer:  No\n",
      "Query162: is this a solution?\n",
      "[[[4 0]\n",
      "  [5 3]\n",
      "  [4 0]]\n",
      "\n",
      " [[1 2]\n",
      "  [0 0]\n",
      "  [5 0]]]\n",
      "Answer:  No\n",
      "Query163: is this a solution?\n",
      "[[[4 0]\n",
      "  [0 0]\n",
      "  [4 0]]\n",
      "\n",
      " [[1 2]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,2,0])]\n",
      "Size of CL:  21\n",
      "Size of B:  150\n",
      "Number of Queries:  164\n",
      "Query164: is this a solution?\n",
      "[[[1 2]\n",
      "  [3 1]\n",
      "  [4 1]]\n",
      "\n",
      " [[1 2]\n",
      "  [4 5]\n",
      "  [4 3]]]\n",
      "Answer:  No\n",
      "Query165: is this a solution?\n",
      "[[[0 2]\n",
      "  [3 1]\n",
      "  [4 1]]\n",
      "\n",
      " [[1 2]\n",
      "  [0 5]\n",
      "  [4 3]]]\n",
      "Answer:  No\n",
      "Query166: is this a solution?\n",
      "[[[0 0]\n",
      "  [3 1]\n",
      "  [4 1]]\n",
      "\n",
      " [[1 2]\n",
      "  [0 0]\n",
      "  [4 0]]]\n",
      "Answer:  No\n",
      "Query167: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [4 1]]\n",
      "\n",
      " [[1 2]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query168: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 1]]\n",
      "\n",
      " [[0 2]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) >= (shifts[1,0,1]), (shifts[0,2,1]) == (shifts[1,0,1]), (shifts[0,2,1]) > (shifts[1,0,1])]\n",
      "Query169: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [4 1]]\n",
      "\n",
      " [[0 2]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) < (shifts[0,2,1]), (shifts[0,2,0]) <= (shifts[0,2,1]), (shifts[0,2,0]) == (shifts[0,2,1])]\n",
      "Query170: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 2]]\n",
      "\n",
      " [[1 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) < (shifts[1,0,0])]\n",
      "Query171: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 6]]\n",
      "\n",
      " [[8 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) > (shifts[1,0,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,2,1]) != (shifts[1,0,0])]\n",
      "Size of CL:  22\n",
      "Size of B:  141\n",
      "Number of Queries:  172\n",
      "Query172: is this a solution?\n",
      "[[[4 6]\n",
      "  [7 1]\n",
      "  [2 6]]\n",
      "\n",
      " [[7 4]\n",
      "  [6 6]\n",
      "  [5 2]]]\n",
      "Answer:  No\n",
      "Query173: is this a solution?\n",
      "[[[0 6]\n",
      "  [7 1]\n",
      "  [2 6]]\n",
      "\n",
      " [[7 4]\n",
      "  [0 6]\n",
      "  [5 2]]]\n",
      "Answer:  No\n",
      "Query174: is this a solution?\n",
      "[[[0 0]\n",
      "  [7 1]\n",
      "  [2 6]]\n",
      "\n",
      " [[7 4]\n",
      "  [0 0]\n",
      "  [5 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) <= (shifts[1,2,0]), (shifts[0,2,1]) == (shifts[1,2,0]), (shifts[0,2,0]) >= (shifts[0,2,1]), (shifts[0,1,1]) == (shifts[0,2,1]), (shifts[0,1,1]) > (shifts[0,2,1]), (shifts[0,1,0]) == (shifts[0,2,1]), (shifts[0,1,0]) < (shifts[0,2,1]), (shifts[0,2,1]) >= (shifts[1,0,0]), (shifts[0,2,1]) < (shifts[1,0,1]), (shifts[0,2,0]) > (shifts[0,2,1]), (shifts[0,1,1]) >= (shifts[0,2,1]), (shifts[0,2,1]) <= (shifts[1,0,1]), (shifts[0,2,1]) < (shifts[1,2,0]), (shifts[0,1,0]) <= (shifts[0,2,1]), (shifts[0,2,1]) == (shifts[1,0,0])]\n",
      "Query175: is this a solution?\n",
      "[[[0 6]\n",
      "  [7 1]\n",
      "  [2 6]]\n",
      "\n",
      " [[7 4]\n",
      "  [0 0]\n",
      "  [5 0]]]\n",
      "Answer:  No\n",
      "Query176: is this a solution?\n",
      "[[[0 6]\n",
      "  [0 0]\n",
      "  [0 6]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query177: is this a solution?\n",
      "[[[0 2]\n",
      "  [0 0]\n",
      "  [0 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) < (shifts[0,2,1])]\n",
      "Query178: is this a solution?\n",
      "[[[0 6]\n",
      "  [0 0]\n",
      "  [0 8]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) > (shifts[0,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,1]) != (shifts[0,2,1])]\n",
      "Size of CL:  23\n",
      "Size of B:  123\n",
      "Number of Queries:  179\n",
      "Query179: is this a solution?\n",
      "[[[5 8]\n",
      "  [3 5]\n",
      "  [4 5]]\n",
      "\n",
      " [[2 5]\n",
      "  [3 7]\n",
      "  [8 6]]]\n",
      "Answer:  No\n",
      "Query180: is this a solution?\n",
      "[[[5 8]\n",
      "  [3 5]\n",
      "  [4 0]]\n",
      "\n",
      " [[2 5]\n",
      "  [0 7]\n",
      "  [8 6]]]\n",
      "Answer:  No\n",
      "Query181: is this a solution?\n",
      "[[[5 0]\n",
      "  [3 5]\n",
      "  [4 0]]\n",
      "\n",
      " [[2 5]\n",
      "  [0 0]\n",
      "  [8 0]]]\n",
      "Answer:  No\n",
      "Query182: is this a solution?\n",
      "[[[5 0]\n",
      "  [0 0]\n",
      "  [4 0]]\n",
      "\n",
      " [[2 5]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) != (shifts[1,0,1])]\n",
      "Query183: is this a solution?\n",
      "[[[5 0]\n",
      "  [3 0]\n",
      "  [4 0]]\n",
      "\n",
      " [[2 5]\n",
      "  [0 0]\n",
      "  [8 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) == (shifts[1,2,0]), (shifts[0,0,0]) >= (shifts[1,2,0])]\n",
      "Query184: is this a solution?\n",
      "[[[3 0]\n",
      "  [0 1]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) < (shifts[0,1,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,1,1])]\n",
      "Size of CL:  24\n",
      "Size of B:  118\n",
      "Number of Queries:  185\n",
      "Query185: is this a solution?\n",
      "[[[5 4]\n",
      "  [1 3]\n",
      "  [6 2]]\n",
      "\n",
      " [[5 2]\n",
      "  [5 1]\n",
      "  [4 3]]]\n",
      "Answer:  No\n",
      "Query186: is this a solution?\n",
      "[[[5 4]\n",
      "  [1 3]\n",
      "  [6 0]]\n",
      "\n",
      " [[5 2]\n",
      "  [0 1]\n",
      "  [4 3]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) == (shifts[0,0,1]), (shifts[0,0,0]) <= (shifts[1,2,0]), (shifts[0,0,0]) <= (shifts[0,1,1]), (shifts[0,0,0]) == (shifts[1,2,1]), (shifts[0,0,0]) <= (shifts[0,0,1]), (shifts[0,0,0]) == (shifts[1,1,1]), (shifts[0,0,0]) < (shifts[1,2,1]), (shifts[0,0,0]) <= (shifts[1,2,1]), (shifts[0,0,0]) < (shifts[1,1,1]), (shifts[0,0,0]) <= (shifts[1,1,1]), (shifts[0,0,0]) != (shifts[1,0,0])]\n",
      "Query187: is this a solution?\n",
      "[[[5 4]\n",
      "  [1 3]\n",
      "  [6 0]]\n",
      "\n",
      " [[5 2]\n",
      "  [5 1]\n",
      "  [4 3]]]\n",
      "Answer:  No\n",
      "Query188: is this a solution?\n",
      "[[[0 4]\n",
      "  [1 3]\n",
      "  [6 0]]\n",
      "\n",
      " [[5 2]\n",
      "  [5 1]\n",
      "  [4 3]]]\n",
      "Answer:  No\n",
      "Query189: is this a solution?\n",
      "[[[0 0]\n",
      "  [1 3]\n",
      "  [6 0]]\n",
      "\n",
      " [[5 2]\n",
      "  [5 0]\n",
      "  [4 0]]]\n",
      "Answer:  No\n",
      "Query190: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [6 0]]\n",
      "\n",
      " [[5 2]\n",
      "  [5 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query191: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 2]\n",
      "  [5 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,1]) == (shifts[1,1,0]), (shifts[1,0,1]) >= (shifts[1,1,0]), (shifts[1,0,1]) > (shifts[1,1,0])]\n",
      "Query192: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [6 0]]\n",
      "\n",
      " [[0 2]\n",
      "  [5 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) == (shifts[1,1,0]), (shifts[0,2,0]) < (shifts[1,1,0]), (shifts[0,2,0]) <= (shifts[1,1,0])]\n",
      "Query193: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[1 0]\n",
      "  [2 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) > (shifts[1,1,0])]\n",
      "Query194: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[3 0]\n",
      "  [1 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) < (shifts[1,1,0])]\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,1,0])]\n",
      "Size of CL:  25\n",
      "Size of B:  98\n",
      "Number of Queries:  195\n",
      "Query195: is this a solution?\n",
      "[[[1 8]\n",
      "  [4 6]\n",
      "  [2 5]]\n",
      "\n",
      " [[1 5]\n",
      "  [5 7]\n",
      "  [6 8]]]\n",
      "Answer:  No\n",
      "Query196: is this a solution?\n",
      "[[[1 8]\n",
      "  [4 6]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [0 7]\n",
      "  [6 8]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[1,2,1]), (shifts[0,0,0]) > (shifts[1,1,1]), (shifts[0,0,0]) >= (shifts[1,2,1]), (shifts[0,0,0]) >= (shifts[1,1,1]), (shifts[0,0,0]) >= (shifts[0,0,1]), (shifts[0,0,0]) >= (shifts[0,1,0])]\n",
      "Query197: is this a solution?\n",
      "[[[1 8]\n",
      "  [4 6]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [5 7]\n",
      "  [6 8]]]\n",
      "Answer:  No\n",
      "Query198: is this a solution?\n",
      "[[[0 8]\n",
      "  [4 6]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [5 7]\n",
      "  [6 8]]]\n",
      "Answer:  No\n",
      "Query199: is this a solution?\n",
      "[[[0 0]\n",
      "  [4 6]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [5 0]\n",
      "  [6 0]]]\n",
      "Answer:  No\n",
      "Query200: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [2 0]]\n",
      "\n",
      " [[1 5]\n",
      "  [5 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query201: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 5]\n",
      "  [5 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query202: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 3]\n",
      "  [1 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,1]) < (shifts[1,1,0])]\n",
      "adding the following constraints to C_L: [(shifts[1,0,1]) != (shifts[1,1,0])]\n",
      "Size of CL:  26\n",
      "Size of B:  90\n",
      "Number of Queries:  203\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Query203: is this a solution?\n",
      "[[[2 3]\n",
      "  [4 6]\n",
      "  [1 4]]\n",
      "\n",
      " [[3 4]\n",
      "  [2 5]\n",
      "  [6 2]]]\n",
      "Answer:  No\n",
      "Query204: is this a solution?\n",
      "[[[2 3]\n",
      "  [4 6]\n",
      "  [1 0]]\n",
      "\n",
      " [[3 4]\n",
      "  [0 5]\n",
      "  [6 2]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) != (shifts[1,2,1])]\n",
      "Query205: is this a solution?\n",
      "[[[2 3]\n",
      "  [4 6]\n",
      "  [1 0]]\n",
      "\n",
      " [[3 4]\n",
      "  [2 5]\n",
      "  [6 2]]]\n",
      "Answer:  No\n",
      "Query206: is this a solution?\n",
      "[[[0 3]\n",
      "  [4 6]\n",
      "  [1 0]]\n",
      "\n",
      " [[3 4]\n",
      "  [2 5]\n",
      "  [6 2]]]\n",
      "Answer:  No\n",
      "Query207: is this a solution?\n",
      "[[[0 0]\n",
      "  [4 6]\n",
      "  [1 0]]\n",
      "\n",
      " [[3 4]\n",
      "  [2 0]\n",
      "  [6 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) == (shifts[1,1,0]), (shifts[0,1,1]) < (shifts[1,1,0]), (shifts[1,1,0]) >= (shifts[1,2,0]), (shifts[0,2,0]) > (shifts[1,1,0]), (shifts[0,2,0]) >= (shifts[1,1,0]), (shifts[1,1,0]) > (shifts[1,2,0]), (shifts[0,1,0]) < (shifts[1,1,0]), (shifts[1,1,0]) == (shifts[1,2,0]), (shifts[1,0,0]) == (shifts[1,1,0]), (shifts[0,1,0]) == (shifts[1,1,0]), (shifts[0,1,1]) <= (shifts[1,1,0]), (shifts[0,1,0]) <= (shifts[1,1,0]), (shifts[1,0,0]) <= (shifts[1,1,0]), (shifts[1,0,1]) <= (shifts[1,1,0])]\n",
      "Query208: is this a solution?\n",
      "[[[0 3]\n",
      "  [4 6]\n",
      "  [1 0]]\n",
      "\n",
      " [[3 4]\n",
      "  [2 0]\n",
      "  [6 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) == (shifts[1,1,0]), (shifts[0,0,1]) <= (shifts[1,1,0]), (shifts[0,0,1]) < (shifts[1,1,0])]\n",
      "Query209: is this a solution?\n",
      "[[[0 3]\n",
      "  [4 6]\n",
      "  [1 0]]\n",
      "\n",
      " [[3 4]\n",
      "  [2 0]\n",
      "  [6 2]]]\n",
      "Answer:  No\n",
      "Query210: is this a solution?\n",
      "[[[0 0]\n",
      "  [4 6]\n",
      "  [1 0]]\n",
      "\n",
      " [[3 4]\n",
      "  [2 0]\n",
      "  [6 2]]]\n",
      "Answer:  No\n",
      "Query211: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [2 0]\n",
      "  [0 2]]]\n",
      "Answer:  No\n",
      "Query212: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [2 0]\n",
      "  [0 1]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,0]) < (shifts[1,2,1])]\n",
      "Query213: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [6 0]\n",
      "  [0 8]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,0]) > (shifts[1,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,1,0]) != (shifts[1,2,1])]\n",
      "Size of CL:  27\n",
      "Size of B:  69\n",
      "Number of Queries:  214\n",
      "Query214: is this a solution?\n",
      "[[[5 3]\n",
      "  [1 2]\n",
      "  [4 2]]\n",
      "\n",
      " [[1 2]\n",
      "  [4 5]\n",
      "  [4 3]]]\n",
      "Answer:  No\n",
      "Query215: is this a solution?\n",
      "[[[0 3]\n",
      "  [1 2]\n",
      "  [4 2]]\n",
      "\n",
      " [[1 2]\n",
      "  [0 5]\n",
      "  [4 3]]]\n",
      "Answer:  No\n",
      "Query216: is this a solution?\n",
      "[[[0 0]\n",
      "  [1 2]\n",
      "  [4 2]]\n",
      "\n",
      " [[1 2]\n",
      "  [0 0]\n",
      "  [4 0]]]\n",
      "Answer:  No\n",
      "Query217: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [4 2]]\n",
      "\n",
      " [[1 2]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query218: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 2]]\n",
      "\n",
      " [[0 2]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,2,1]) != (shifts[1,0,1])]\n",
      "Size of CL:  28\n",
      "Size of B:  68\n",
      "Number of Queries:  219\n",
      "Query219: is this a solution?\n",
      "[[[4 1]\n",
      "  [3 8]\n",
      "  [7 7]]\n",
      "\n",
      " [[6 0]\n",
      "  [8 4]\n",
      "  [8 7]]]\n",
      "Answer:  No\n",
      "Query220: is this a solution?\n",
      "[[[0 1]\n",
      "  [3 8]\n",
      "  [7 7]]\n",
      "\n",
      " [[6 0]\n",
      "  [0 4]\n",
      "  [8 7]]]\n",
      "Answer:  No\n",
      "Query221: is this a solution?\n",
      "[[[0 0]\n",
      "  [3 8]\n",
      "  [7 7]]\n",
      "\n",
      " [[6 0]\n",
      "  [0 0]\n",
      "  [8 0]]]\n",
      "Answer:  No\n",
      "Query222: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [7 7]]\n",
      "\n",
      " [[6 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query223: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [7 7]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,2,0]) != (shifts[0,2,1])]\n",
      "Size of CL:  29\n",
      "Size of B:  67\n",
      "Number of Queries:  224\n",
      "Query224: is this a solution?\n",
      "[[[4 1]\n",
      "  [2 5]\n",
      "  [8 5]]\n",
      "\n",
      " [[1 0]\n",
      "  [8 4]\n",
      "  [6 3]]]\n",
      "Answer:  No\n",
      "Query225: is this a solution?\n",
      "[[[0 1]\n",
      "  [2 5]\n",
      "  [8 5]]\n",
      "\n",
      " [[1 0]\n",
      "  [0 4]\n",
      "  [6 3]]]\n",
      "Answer:  No\n",
      "Query226: is this a solution?\n",
      "[[[0 0]\n",
      "  [2 5]\n",
      "  [8 5]]\n",
      "\n",
      " [[1 0]\n",
      "  [0 0]\n",
      "  [6 0]]]\n",
      "Answer:  No\n",
      "Query227: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [8 5]]\n",
      "\n",
      " [[1 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) <= (shifts[1,0,0])]\n",
      "Query228: is this a solution?\n",
      "[[[0 0]\n",
      "  [2 0]\n",
      "  [8 5]]\n",
      "\n",
      " [[1 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) > (shifts[0,2,1]), (shifts[0,1,0]) >= (shifts[0,2,1])]\n",
      "Query229: is this a solution?\n",
      "[[[0 0]\n",
      "  [2 0]\n",
      "  [8 5]]\n",
      "\n",
      " [[1 0]\n",
      "  [0 0]\n",
      "  [6 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) >= (shifts[1,2,0]), (shifts[0,2,1]) > (shifts[1,2,0])]\n",
      "Query230: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 3]\n",
      "  [0 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) < (shifts[0,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,1,1]) != (shifts[0,2,1])]\n",
      "Size of CL:  30\n",
      "Size of B:  60\n",
      "Number of Queries:  231\n",
      "Query231: is this a solution?\n",
      "[[[4 1]\n",
      "  [2 6]\n",
      "  [7 2]]\n",
      "\n",
      " [[6 0]\n",
      "  [7 4]\n",
      "  [2 8]]]\n",
      "Answer:  No\n",
      "Query232: is this a solution?\n",
      "[[[0 1]\n",
      "  [2 6]\n",
      "  [7 2]]\n",
      "\n",
      " [[6 0]\n",
      "  [0 4]\n",
      "  [2 8]]]\n",
      "Answer:  No\n",
      "Query233: is this a solution?\n",
      "[[[0 0]\n",
      "  [2 6]\n",
      "  [7 2]]\n",
      "\n",
      " [[6 0]\n",
      "  [0 0]\n",
      "  [2 0]]]\n",
      "Answer:  No\n",
      "Query234: is this a solution?\n",
      "[[[0 0]\n",
      "  [2 0]\n",
      "  [7 2]]\n",
      "\n",
      " [[6 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query235: is this a solution?\n",
      "[[[0 0]\n",
      "  [2 0]\n",
      "  [0 2]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,1,0]) != (shifts[0,2,1])]\n",
      "Size of CL:  31\n",
      "Size of B:  59\n",
      "Number of Queries:  236\n",
      "Query236: is this a solution?\n",
      "[[[6 5]\n",
      "  [2 7]\n",
      "  [8 1]]\n",
      "\n",
      " [[4 0]\n",
      "  [8 6]\n",
      "  [1 2]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,0]) < (shifts[1,1,1]), (shifts[0,2,1]) >= (shifts[1,1,0]), (shifts[0,1,1]) <= (shifts[0,2,1]), (shifts[0,2,1]) > (shifts[1,1,0]), (shifts[0,0,1]) <= (shifts[0,2,1]), (shifts[0,2,1]) > (shifts[1,1,1]), (shifts[0,2,1]) == (shifts[1,1,0]), (shifts[0,0,0]) < (shifts[0,2,1]), (shifts[1,1,0]) <= (shifts[1,2,1]), (shifts[1,1,0]) <= (shifts[1,2,0]), (shifts[0,1,1]) > (shifts[1,1,0]), (shifts[0,0,0]) > (shifts[1,1,0]), (shifts[1,0,0]) >= (shifts[1,1,0]), (shifts[0,0,1]) > (shifts[1,1,0]), (shifts[0,1,1]) >= (shifts[1,1,0]), (shifts[0,0,0]) == (shifts[0,2,1]), (shifts[0,2,1]) > (shifts[1,2,1]), (shifts[1,1,0]) <= (shifts[1,1,1]), (shifts[0,0,1]) == (shifts[0,2,1]), (shifts[0,0,0]) == (shifts[1,1,0]), (shifts[1,1,0]) == (shifts[1,1,1]), (shifts[0,2,1]) >= (shifts[1,2,1]), (shifts[0,2,1]) != (shifts[1,2,0]), (shifts[1,1,0]) < (shifts[1,2,0]), (shifts[0,1,0]) >= (shifts[1,1,0]), (shifts[0,2,1]) == (shifts[1,1,1]), (shifts[0,1,0]) > (shifts[1,1,0]), (shifts[0,0,0]) <= (shifts[0,2,1]), (shifts[0,0,0]) >= (shifts[1,1,0]), (shifts[0,0,1]) >= (shifts[1,1,0]), (shifts[0,0,0]) != (shifts[1,1,1]), (shifts[1,1,0]) == (shifts[1,2,1]), (shifts[0,2,1]) >= (shifts[1,1,1]), (shifts[0,2,0]) != (shifts[1,1,0]), (shifts[0,2,1]) == (shifts[1,2,1])]\n",
      "Size of CL:  31\n",
      "Size of B:  24\n",
      "Number of Queries:  237\n",
      "Query237: is this a solution?\n",
      "[[[8 6]\n",
      "  [7 3]\n",
      "  [0 8]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 4]\n",
      "  [3 8]]]\n",
      "Answer:  No\n",
      "Query238: is this a solution?\n",
      "[[[8 6]\n",
      "  [7 3]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 4]\n",
      "  [3 8]]]\n",
      "Answer:  No\n",
      "Query239: is this a solution?\n",
      "[[[0 6]\n",
      "  [7 3]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 4]\n",
      "  [3 8]]]\n",
      "Answer:  No\n",
      "Query240: is this a solution?\n",
      "[[[0 6]\n",
      "  [7 3]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 0]\n",
      "  [3 0]]]\n",
      "Answer:  No\n",
      "Query241: is this a solution?\n",
      "[[[0 0]\n",
      "  [7 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 0]\n",
      "  [3 0]]]\n",
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,1,0]) != (shifts[1,2,0])]\n",
      "Size of CL:  32\n",
      "Size of B:  23\n",
      "Number of Queries:  242\n",
      "Query242: is this a solution?\n",
      "[[[4 2]\n",
      "  [5 3]\n",
      "  [0 4]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 3]\n",
      "  [0 4]]]\n",
      "Answer:  No\n",
      "Query243: is this a solution?\n",
      "[[[4 2]\n",
      "  [5 3]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 3]\n",
      "  [0 4]]]\n",
      "Answer:  No\n",
      "Query244: is this a solution?\n",
      "[[[0 2]\n",
      "  [5 3]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 0]\n",
      "  [0 4]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) != (shifts[1,1,0]), (shifts[1,1,0]) >= (shifts[1,2,1])]\n",
      "Query245: is this a solution?\n",
      "[[[0 2]\n",
      "  [5 3]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 3]\n",
      "  [0 4]]]\n",
      "Answer:  No\n",
      "Query246: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [3 3]\n",
      "  [0 0]]]\n",
      "Answer:  No\n",
      "Query247: is this a solution?\n",
      "[[[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [6 8]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,0]) > (shifts[1,1,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,1,0]) != (shifts[1,1,1])]\n",
      "Size of CL:  33\n",
      "Size of B:  19\n",
      "Number of Queries:  248\n",
      "Query248: is this a solution?\n",
      "[[[4 3]\n",
      "  [2 0]\n",
      "  [0 4]]\n",
      "\n",
      " [[0 0]\n",
      "  [2 3]\n",
      "  [0 4]]]\n",
      "Answer:  No\n",
      "Query249: is this a solution?\n",
      "[[[0 3]\n",
      "  [2 0]\n",
      "  [0 4]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 3]\n",
      "  [0 4]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) < (shifts[1,2,1]), (shifts[0,2,1]) <= (shifts[1,1,1]), (shifts[0,2,1]) < (shifts[1,1,1]), (shifts[0,0,1]) >= (shifts[0,2,1]), (shifts[0,2,1]) != (shifts[1,2,1])]\n",
      "Query250: is this a solution?\n",
      "[[[0 3]\n",
      "  [2 0]\n",
      "  [0 4]]\n",
      "\n",
      " [[0 0]\n",
      "  [2 3]\n",
      "  [0 4]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) < (shifts[1,1,0]), (shifts[1,1,0]) >= (shifts[1,1,1]), (shifts[0,2,1]) <= (shifts[1,1,0]), (shifts[0,1,0]) != (shifts[1,1,0])]\n",
      "Query251: is this a solution?\n",
      "[[[4 3]\n",
      "  [2 0]\n",
      "  [0 4]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 3]\n",
      "  [0 4]]]\n",
      "Answer:  No\n",
      "Query252: is this a solution?\n",
      "[[[4 0]\n",
      "  [0 0]\n",
      "  [0 4]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  No\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Query253: is this a solution?\n",
      "[[[6 0]\n",
      "  [0 0]\n",
      "  [0 8]]\n",
      "\n",
      " [[0 0]\n",
      "  [0 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,2,1])]\n",
      "Size of CL:  34\n",
      "Size of B:  8\n",
      "Number of Queries:  254\n",
      "Query254: is this a solution?\n",
      "[[[2 1]\n",
      "  [0 0]\n",
      "  [0 6]]\n",
      "\n",
      " [[0 0]\n",
      "  [1 6]\n",
      "  [0 5]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) <= (shifts[1,1,0]), (shifts[0,0,0]) < (shifts[1,1,0]), (shifts[0,0,0]) >= (shifts[0,2,1]), (shifts[0,2,1]) != (shifts[1,1,1]), (shifts[0,2,1]) <= (shifts[1,2,1]), (shifts[0,0,1]) != (shifts[1,1,0])]\n",
      "Size of CL:  34\n",
      "Size of B:  2\n",
      "Number of Queries:  255\n",
      "Query255: is this a solution?\n",
      "[[[2 0]\n",
      "  [0 0]\n",
      "  [0 1]]\n",
      "\n",
      " [[0 0]\n",
      "  [1 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) != (shifts[1,1,0])]\n",
      "Size of CL:  34\n",
      "Size of B:  1\n",
      "Number of Queries:  256\n",
      "Query256: is this a solution?\n",
      "[[[1 0]\n",
      "  [0 0]\n",
      "  [0 0]]\n",
      "\n",
      " [[0 0]\n",
      "  [1 0]\n",
      "  [0 0]]]\n",
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) != (shifts[1,1,0])]\n",
      "Size of CL:  34\n",
      "Size of B:  0\n",
      "Number of Queries:  257\n",
      "\n",
      "Learned 34 constraints in 257 queries.\n"
     ]
    }
   ],
   "source": [
    "# increase verbosity for closer look of the learning process\n",
    "learned_instance = qa.learn(instance, oracle=oracle, verbose=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70101df4",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Learned instance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4e829212",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ProblemInstance: \n",
      "\n",
      "Variables: [[[shifts[0,0,0] shifts[0,0,1]]\n",
      "  [shifts[0,1,0] shifts[0,1,1]]\n",
      "  [shifts[0,2,0] shifts[0,2,1]]]\n",
      "\n",
      " [[shifts[1,0,0] shifts[1,0,1]]\n",
      "  [shifts[1,1,0] shifts[1,1,1]]\n",
      "  [shifts[1,2,0] shifts[1,2,1]]]].\n",
      "\n",
      "Constraints: [(shifts[0,0,0]) != (shifts[0,0,1]), (shifts[0,0,1]) != (shifts[0,1,0]), (shifts[0,0,0]) != (shifts[0,1,0]), (shifts[0,1,0]) != (shifts[0,1,1]), (shifts[0,0,1]) != (shifts[0,1,1]), (shifts[0,0,0]) != (shifts[0,1,1]), (shifts[0,1,0]) != (shifts[0,2,0]), (shifts[0,0,0]) != (shifts[0,2,0]), (shifts[0,1,1]) != (shifts[0,2,0]), (shifts[0,0,1]) != (shifts[0,2,0]), (shifts[0,1,1]) != (shifts[0,2,1]), (shifts[1,0,1]) != (shifts[1,1,0]), (shifts[1,2,0]) != (shifts[1,2,1]), (shifts[0,2,0]) != (shifts[0,2,1]), (shifts[0,0,0]) != (shifts[0,2,1]), (shifts[0,1,0]) != (shifts[0,2,1]), (shifts[0,0,1]) != (shifts[0,2,1]), (shifts[0,2,0]) != (shifts[1,0,0]), (shifts[1,0,0]) != (shifts[1,0,1]), (shifts[0,2,0]) != (shifts[1,0,1]), (shifts[0,2,1]) != (shifts[1,0,0]), (shifts[1,0,1]) != (shifts[1,2,0]), (shifts[1,0,0]) != (shifts[1,1,0]), (shifts[0,2,1]) != (shifts[1,0,1]), (shifts[1,0,1]) != (shifts[1,1,1]), (shifts[1,1,0]) != (shifts[1,1,1]), (shifts[1,0,0]) != (shifts[1,1,1]), (shifts[1,0,0]) != (shifts[1,2,0]), (shifts[1,1,0]) != (shifts[1,2,0]), (shifts[1,1,1]) != (shifts[1,2,0]), (shifts[1,0,0]) != (shifts[1,2,1]), (shifts[1,0,1]) != (shifts[1,2,1]), (shifts[1,1,0]) != (shifts[1,2,1]), (shifts[1,1,1]) != (shifts[1,2,1])].\n",
      "\n",
      "Language: [(AV8) == (AV9), (AV8) != (AV9), (AV8) < (AV9), (AV8) > (AV9), (AV8) >= (AV9), (AV8) <= (AV9)].\n"
     ]
    }
   ],
   "source": [
    "print(learned_instance) # see the instance with the learned constraints :"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7acc8837",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Solving the learned model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "cb901461",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[[3 4]\n",
      "  [2 1]\n",
      "  [8 7]]\n",
      "\n",
      " [[6 5]\n",
      "  [4 3]\n",
      "  [2 1]]]\n"
     ]
    }
   ],
   "source": [
    "m = learned_instance.get_cpmpy_model() # get the cpmpy model\n",
    "m.solve()\n",
    "\n",
    "print(learned_instance.variables.value()) # see the solution"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d22ce7b",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Visualizing the solutions and queries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "4fe7b7e6",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "def visualize_nurse_rostering(shifts):\n",
    "    num_days, shifts_per_day, nurses_per_shift = shifts.shape\n",
    "    num_nurses = shifts.max()  # Assuming nurse IDs are from 1 to num_nurses\n",
    "\n",
    "    # Create an empty DataFrame with nurses as rows and days as columns\n",
    "    columns = [f'Day {j} Shift {k}' for j in range(num_days) for k in range(shifts_per_day)]\n",
    "    df = pd.DataFrame(index=[f'Nurse {i+1}' for i in range(num_nurses)], columns=columns)\n",
    "\n",
    "    # Fill the DataFrame with shift information\n",
    "    for day in range(num_days):\n",
    "        for shift in range(shifts_per_day):\n",
    "            for nurse in range(nurses_per_shift):\n",
    "                nurse_id = shifts[day, shift, nurse]\n",
    "                if nurse_id != 0:\n",
    "                    df.at[f'Nurse {nurse_id}', f'Day {day} Shift {shift}'] = 'Assigned'\n",
    "                \n",
    "    # Fill 'Not Assigned' for nurses who are not assigned to a shift\n",
    "    df = df.fillna('Not Assigned')\n",
    "\n",
    "    # Create a color map to highlight assigned shifts\n",
    "    cmap = {'Assigned': 'lightgreen', 'Not Assigned': 'white'}\n",
    "\n",
    "    # Create a new DataFrame to store colors\n",
    "    df_colors = df.applymap(lambda x: cmap[x])\n",
    "\n",
    "    # Calculate figure size dynamically\n",
    "    fig_width = max(12, num_days * shifts_per_day * 1.5)  # Adjust width scaling factor as needed\n",
    "    fig_height = max(2, num_nurses * 0.2)  # Adjust height scaling factor as needed\n",
    "\n",
    "    fig, ax = plt.subplots(figsize=(fig_width, fig_height))\n",
    "\n",
    "    # Create a table plot\n",
    "    table = ax.table(cellText=df.values, cellColours=df_colors.values, colLabels=df.columns, rowLabels=df.index,\n",
    "                     cellLoc='center', loc='center')\n",
    "\n",
    "    table.auto_set_font_size(False)\n",
    "    table.set_fontsize(10)\n",
    "    table.scale(1.2, 1.2)\n",
    "\n",
    "    ax.axis('off')\n",
    "    plt.subplots_adjust(left=0.01, right=0.99, top=0.99, bottom=0.01)  # Adjust the subplot parameters\n",
    "\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "b2edf11e",
   "metadata": {
    "scrolled": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
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lS5dm1apVWbZsWR588MFMmDAhRxxxRE4++eQkye67754PPvgg1113XY488sjMmTMnP/zhD9c5VocOHXLMMcfkm9/8Zg499NB06dJlo+c+99xzM2rUqAwaNCiDBw/OpEmT8t5772X06NEb3Oeggw7KCSeckEGDBqVjx45ZsGBBLr744gwbNiyVlZVb9mD8le7du6e6ujrz589Ply5d0q5du7Ro0WKddWeffXaGDh2aq666KiNHjsydd96ZJ598MpMnT663WSCR1Q2pa1ZXrlyZBQsW1H790ksvZf78+Wnbtm123333epsHEnndkLrm9Yorrsi3v/3t3H777enevXvt+8W3bdvW+8lSrxoyq++++26ef/752tsfZWOHHXZI165d17vPcccdl89//vP53Oc+l6qqqlRXV+eiiy5Kz54906tXry14JNbWvXv3vPvuu5k5c2b69++f1q1bp3Xr1uusO+OMM/L9738/F1xwQU499dTMmjUr06ZNy/33319vs0AiqxtS16wmyfz582uv59VXX838+fPTvHnz2iIR6oOsrl9ds3r77bdn1KhR+dd//dfsu+++tc+BW7Vqlfbt29fbPJ94Jepk7ty5pSSluXPnNvQojdqoUaNKSUpJSk2bNi116tSpNHz48NLNN99cWrVq1Vprr7766tLOO+9catWqVemwww4r/fu//3spSemNN95Ya93MmTNLSUrTpk2r0wzXXXddqWvXrqXmzZuXBg8eXPrVr3610fWXX355aciQIaUddtih1LJly1KPHj1KZ511Vmn58uW1a7p161a65ppr1tqvf//+pbFjx5ZKpVKpurq6lKQ0b9682vvbt29fuuWWW2pvv//++6Vjjz22tP3225eSrHXf35o2bVqpZ8+epebNm5f69u1buv/+++t07ZRKU6dOldU6kNV5tfdvblY/Otbf/jN06NA6Xf8nnazWnbzOq71/c/ParVu39eb1o3OxYbJadw2d1dmzZ6/3z/moUaM2uM/kyZNLw4YNK3Xq1KnUvHnzUteuXUunnHJKadGiRbVrhg4dWjr77LPX2u+oo45a67hJStOnT6+9/ddZ/sgZZ5xR6tix4yazN3v27NKAAQNKzZs3L/Xo0WOjz5n5C1mtO1mdXnt7S7K6vmvo1q3bJq8fea0rWZ1ee3tzszp06NDC18Bf1LULriiVSqXNKeU/aZ566qnsvffemTt3bgYOHNjQ43yi3HbbbTnnnHPy8ssvp3nz5g09Do3cj3/845x44omy2gBklSJktWHJK3Ulqw1LVqkrWW1YskoR8tpwZJUi6toFe1sYGq2amposWbIkEydOzOmnn+4bHzRSsgrlQ16hPMgqlAdZhfIgq2xNPtCURuvKK69Mr169UlVVlYsuuqihxwE2QFahfMgrlAdZhfIgq1AeZJWtSblOozVu3Lh88MEHmTlzpg8bg0ZMVqF8yCuUB1mF8iCrUB5kla1JuQ4AAAAAAAUp1wEAAAAAoCDlOgAAAAAAFKRcBwAAAACAgprWdeHixYuzfPnyrTlLo7Zw4cIkyYwZM2q/BhqfOXPmJJFVaOxkFcqDrEJ5kFUoH/IK5aG6urpO6ypKpVJpU4sWL16c3r17p6amZosHK2cVTSpSWr3JhwtoYLIK5UFWoTzIKpQHWYXyIa9QHiqaVGTOL+ZkyJAhG1xTp99cX758eWpqajJ16tT07t273gYsJzNmzMgll1ySE284MZ17dm7ocYANWPDzBXnguw/IKjRysgrlQVahPMgqlA95hfKw7PfLMvX0qWnRosVG19X5bWGSpHfv3hk4cOAWDVauPnqpTueenbNb/90aeBpgQ5b9flkSWYXGTlahPMgqlAdZhfIhr/Dx4gNNAQAAAACgIOU6AAAAAAAUpFwHAAAAAICClOt87I3ZYUx+e/9vG3qMJI1rFmhsGlM+GtMs0Ng0pnw0plmgsWlM+WhMs0Bj1Jgy0phmgcamMeWjMc3ySVcv5fopp5ySioqKTJw4ca3t9957byoqKurjFPXunnvuyaGHHpqOHTumoqIi8+fPb+iRSFL96+qcs+M5mXz85Ho75mULL0uf4X3q7XiArEK5kFUoD7IK5UNeoTzIKttKvf3mesuWLXPFFVfkjTfeqK9DJklWrlxZr8f7yHvvvZf9998/V1xxxVY5PpvnialP5ICvHZAXHn8hby15q16OWdm5Mk1bNK2XYwFryCqUB1mF8iCrUD7kFcqDrLKt1NufiOHDh+f555/PhAkTcuWVV653zbhx43Lvvfeu9VvikyZNyqRJk7Jo0aIka34L/s0338w+++yT66+/Pi1atEh1dXV+8IMf5Jprrsmf/vSntG/fPgcccED+4z/+I0myevXqXHHFFZk8eXKWLl2anj175pJLLslxxx23wXlPOumkJKk9Lw1vxbsrMu/eeTl35rl555V38us7fp0R545IktS8WZOfXPCTPDv72ax8b2Xa79I+I84ZkX3/Yd98uPLD3Pute/Pbn/42NW/WpF2ndvnc6M9lxDlr9h2zw5icetup6TeyX5Kk+onq3P3Nu/PKH17Jzr13zojzRuTmk27O+f91frrs1SV/+MUfcv0Xr8+Z08/MTy/9aZY+tzS7fmbXnPD9E9J5j8618/5uxu/y0JUPZelzS9O+qn32+co+GXHeiGzXdLskyasvvJo7zroji59anI7dOuaYCcds40cUtg5ZhfIgq1AeZBXKh7xCeZBVtqV6K9e32267XH755fnqV7+as846K126dNnsY82cOTOVlZV55JFHkiRPPvlkzjrrrNx222353Oc+l9dffz3//d//Xbt+woQJmTp1an74wx9mjz32yGOPPZYTTzwxnTp1ytChQ7f42tg25t07LzvtsVM679E5g748KNMvnp7h5wxPRUVFZlw+I0ufW5rTp52eNh3bZPmLy/PB+x8kSR674bE8/cDTGXXzqHTo0iFvvvRm3nhp/a+geP/t93PjV29MnxF9cvLkk/P6n17P9P83fb1r7//O/Tlq/FFp27Ftpp03LXf+8505+8GzkyQvPP5CfvyNH+eYicekx5Aeea36tdx1zl1JksMvPDyrV6/OzSffnHY7tcs5j5yT999+P9MvXv95oNzIKpQHWYXyIKtQPuQVyoOssi3V62sZvvSlL2XAgAEZO3Zsbrrpps0+Tps2bfKjH/0ozZs3T7Lm/dHbtGmTI444Iu3atUu3bt3y2c9+NkmyYsWKXH755fn5z3+eIUOGJEl69OiRX/ziF7nhhhuU62XkialPZNDfD0qS9DqkV/789p/z/Jzns8f+e+SN/30ju+61a7p+tmuSpGPXjrX7vfHSG+n06U7psV+PVFRUZIfddtjgOeb+ZG4qKipy/KTj06xls1T1qspbS97KXWPuWmftyG+NzO6f3z1JMnzM8Ew+fnI+eP+DNGvZLA9d+VAOGXNIBp8wOEmyY/cd84WLv5D7xt2Xwy88PL9/9PdZ9odlOeM/zkj7ndvXHu+GL99QPw8WNCBZhfIgq1AeZBXKh7xCeZBVtqV6f6OgK664IgcffHDOP//8zT7GXnvtVVusJ8mIESPSrVu39OjRI4cffngOP/zwfOlLX0rr1q3z/PPPp6amJiNGjFjrGCtXrqwt4Gn8lv1hWf741B9z6m2nJkm2a7pdPvulz+aJqU9kj/33yOdHfz63nHJL/ve3/5tew3plry/slU/t+6kkyeATBuffjvm3XD748vQ6pFf6Hto3vQ7utd7zvPKHV7JL313SrGWz2m3d9u623rW79N2l9uvKzpVJkneXv5sOXTrkpadfSvUT1Xnk6kdq15RWlfLB+x9kZc3KLPv9snTYtUPtN74k6T64++Y9ONCIyCqUB1mF8iCrUD7kFcqDrLKt1Xu5fuCBB+awww7LRRddlFNOOWWt+5o0aZJSqbTWtg8++GCdY7Rp02at2+3atctTTz2VRx99NA8//HC+/e1vZ9y4cfnNb36Td999N0ly//33Z9ddd11rvxYtWtTDFbEtPDH1iaz+cHXG9hlbu61UKqVpi6Y59spj02dEn4z9n7FZ8MiCPPfoc/nBl36Q/f9x/xw1/qjs1n+3fHvet7Pg5wvy+//6faacOiV7Dt0zo28dvUUzNWn2V5/3W7HmX6tXr06SrHxvZQ7/v4en3xH91tmvaUsfbsHHl6xCeZBVKA+yCuVDXqE8yCrb2lb5rzRx4sQMGDAge+6551rbO3XqlKVLl6ZUKqWiYs2fpr/+cNONadq0aYYPH57hw4dn7Nix2X777TNr1qyMGDEiLVq0yOLFi70FTJla9eGq/Oau3+So8Uel17C1fyJ400k35amfPJXPj/582u7YNoNPGJzBJwzOnCFzct+378tR449KkrSsbJmBxwzMwGMGpv8X++eGv78h773xXtp0WPsHNTvtsVOevPvJfLjiw9pPeF781OLCM3fp1yWv/OGVdOrRab33d+7ZOW+89EbeWvpW2let+eniot8sKnweaExkFcqDrEJ5kFUoH/IK5UFWaQhbpVzfa6+98g//8A+59tpr19p+0EEH5dVXX82VV16Z4447Lg8++GAeeOCBVFZWbvR4P/vZz/Liiy/mwAMPTIcOHTJjxoysXr06e+65Z9q1a5fzzz8/55xzTlavXp39998/b731VubMmZPKysqMGjVqvcd8/fXXs3jx4rz88stJkueeey5JUlVVlaqqqnp4FKirZx56JjVv1mS/k/ZLq8pWa93X78h++dXUX+WtJW9ltwG7papXVT5c8WEWPLQgnXuu+WTl2dfPTmVVZbrs1SUVTSryP//5P6nsXJlW7Vutc669j90793/n/tx1zl055OxD8sb/vpFZ35+VJLU/8KmLQ795aG484cZ06NIh/b/YPxVNKvLy0y9nybNLMvL/jUzPg3pmp0/vlNvPvD1fvOyLef+d9zPjuzO24FGChierUB5kFcqDrEL5kFcoD7JKQ9hqry+47LLLctdda7+Jf+/evfODH/wgl19+ecaPH59jjz02559/fiZPnrzRY22//fa55557Mm7cuLz//vvZY489cscdd6Rv375JkvHjx6dTp06ZMGFCXnzxxWy//fYZOHBgLr744g0e87777svo0X95WcdXvvKVJMnYsWMzbty4zbxqNscTU5/InkP3XOcbX5L0P7J/Zl07K30P65ufXfazvP6n19OsZbP0GNIjo25a84OTlm1bZta1s/Lqi6+mSZMm6Tqwa75+19fTpEmTdY7XsrJlvnb713L3+XfnX4b+S3bps0sOu+Cw3Pa122p/0lgXvQ/pna/d8bU8/C8PZ+a1M7Nd0+2y0x47ZchJaz5Ut0mTJjn1tlNz51l35urhV2eHrjvkmAnH5Ia/94ETlC9ZhfIgq1AeZBXKh7xCeZBVGkJF6W/fBH09nnrqqey9996ZO3duBg4cuC3manR+/OMf58QTT8x5s8/Lbv13a+hxqEdP3v1k7vg/d2TCoglp3qr5pnegUXvy7icz9fSpsvoxJKsfL7L68SWrHy+y+vElqx8vsvrxJq8fL/L68SWrHy9/+p8/5aphV22yD/fO+Hzi/PrOX2fH7jum/c7t89LTL+Wn436aAUcP8I0PGhlZhfIgq1AeZBXKh7xCeZBVEuU6n0DvvPJOHpjwQN555Z1Udq7MgKMGZOS3Rjb0WMDfkFUoD7IK5UFWoXzIK5QHWSVRrvMJdMhZh+SQsw5p6DGATZBVKA+yCuVBVqF8yCuUB1klSdZ9R34AAAAAAGCjlOsAAAAAAFCQch0AAAAAAAoq9J7rCxcu3FpzNHrV1dVJkmW/X9bAkwAb89ri15LIKjR2sgrlQVahPMgqlA95hfJQ14xWlEql0qYWLV68OL17905NTc0WD1bOKppUpLR6kw8X0MBkFcqDrEJ5kFUoD7IK5UNeoTy0at0qzy58Nl27dt3gmjqV68magn358uX1Nlw5WrFiRVq0aNHQYwCbIKtQHmQVyoOsQnmQVSgf8grlYccdd9xosZ4UKNcBAAAAAIA1fKApAAAAAAAUpFwHAAAAAICClOsAAAAAAFCQch0AAAAAAApSrgMAAAAAQEHKdQAAAAAAKEi5DgAAAAAABSnXAQAAAACgIOU6AAAAAAAUpFwHAAAAAICClOsAAAAAAFCQch0AAAAAAApSrgMAAAAAQEHKdQAAAAAAKEi5DgAAAAAABSnXAQAAAACgIOU6AAAAAAAUpFwHAAAAAICClOsAAAAAAFCQch0AAAAAAApSrgMAAAAAQEHKdQAAAAAAKEi5DgAAAAAABSnXAQAAAACgIOU6AAAAAAAUpFwHAAAAAICClOsAAAAAAFCQch0AAAAAAApSrgMAAAAAQEHKdQAAAAAAKEi5DgAAAAAABSnXAQAAAACgIOU6AAAAAAAUpFwHAAAAAICClOsAAAAAAFCQch0AAAAAAApSrgMAAAAAQEHKdQAAAAAAKEi5DgAAAAAABSnXAQAAAACgIOU6AAAAAAAUpFwHAAAAAICClOsAAAAAAFCQch0AAAAAAApSrgMAAAAAQEHKdQAAAAAAKEi5DgAAAAAABSnXAQAAAACgIOU6AAAAAAAUpFwHAAAAAICClOsAAAAAAFCQch0AAAAAAApSrgMAAAAAQEHKdQAAAAAAKEi5DgAAAAAABSnXAQAAAACgIOU6AAAAAAAUpFwHAAAAAICClOsAAAAAAFCQch0AAAAAAApSrgMAAAAAQEHKdQAAAAAAKEi5DgAAAAAABSnXAQAAAACgIOU6AAAAAAAUpFwHAAAAAICClOsAAAAAAFCQch0AAAAAAApSrgMAAAAAQEHKdQAAAAAAKEi5DgAAAAAABSnXAQAAAACgIOU6AAAAAAAUpFwHAAAAAICClOsAAAAAAFCQch0AAAAAAApSrgMAAAAAQEHKdQAAAAAAKEi5DgAAAAAABSnXAQAAAACgoP8PDz65tzCnWuQAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_nurse_rostering(instance.variables.value())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "747287fe",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Using the visualization in the queries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "8b884372",
   "metadata": {},
   "outputs": [],
   "source": [
    "instance.visualize = visualize_nurse_rostering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "fa4ce12e",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Size of CL:  0\n",
      "Size of B:  396\n",
      "Number of Queries:  0\n",
      "Query0: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query1: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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4+HnnnXfywgsvZMWKFXnxxRdz3333ZfTo0TnqqKNyyimnJEl22mmnvPvuu7n66qtz9NFHZ/bs2bnmmmvWOlbbtm3zhS98Ieeff34OPfTQbLfddhs89znnnJPBgwdnzz33TJ8+fTJhwoS89dZbOe2009a7z0EHHZSBAwdmzz33zFZbbZX58+fn29/+dvr165fWrVt/uBfj33Tu3DkLFy7MvHnzst1226VVq1Zp2rTpWuPOPvvs9O3bN+PGjcuRRx6Z22+/PU888USuu+66WpsLJLK6PjXN6vLlyzN//vzqr59//vnMmzcvLVu2zE477VRr84FEXtenpnm94oorcvHFF+fWW29N586dq98vvmXLlt5PllpVl1l9880386c//an68epstGvXLttvv/069znhhBOy3377Zd99901lZWUWLlyYCy+8MF27dk23bt0+xCuxps6dO+fNN9/MjBkzUlVVlS222CJbbLHFWuOGDh2aH/zgB7ngggty+umnZ+bMmZkyZUqmTp1aa3OBRFbXp6ZZTZJ58+ZVX8/LL7+cefPmpUmTJtVFItQGWV23mmb11ltvzeDBg/P9738/e++9d/X3wM2bN0+bNm1qbT6feCVqZM6cOaUkpTlz5tT1VOq1wYMHl5KUkpQaNWpUat++fal///6lG264obRixYo1xo4fP760zTbblJo3b1467LDDSj/96U9LSUqvvfbaGuNmzJhRSlKaMmVKjeZw9dVXl7bffvtSkyZNSn369Cn95je/2eD4yy+/vLTPPvuU2rVrV2rWrFmpS5cupbPOOqu0dOnS6jGdOnUqfe9731tjv6qqqtKIESNKpVKptHDhwlKS0ty5c6ufb9OmTenGG2+sfvz222+Xjj/++NKWW25ZSrLGcx80ZcqUUteuXUtNmjQp9ezZszR16tQaXTul0uTJk2W1BmR1bvXzm5rV1cf64J++ffvW6Po/6WS15uR1bvXzm5rXTp06rTOvq8/F+slqzdV1VmfNmrXOv+eDBw9e7z7XXXddqV+/fqX27duXmjRpUtp+++1Lp556amnRokXVY/r27Vs6++yz19jvmGOOWeO4SUp333139eN/z/JqQ4cOLW211VYbzd6sWbNKvXr1KjVp0qTUpUuXDX7PzPtkteZk9e7qxx8mq+u6hk6dOm30+pHXmpLVu6sfb2pW+/btW/gaeF9Nu+CKUqlU2pRS/pPmySefzB577JE5c+akd+/edT2dT5Sbb745w4cPz9///vc0adKkrqdDPXfLLbdk0KBBsloHZJUiZLVuySs1Jat1S1apKVmtW7JKEfJad2SVImraBXtbGOqtZcuWZcmSJRkzZky+9rWv+YcP6ilZhfIhr1AeZBXKg6xCeZBVNicfaEq9NXbs2HTr1i2VlZW58MIL63o6wHrIKpQPeYXyIKtQHmQVyoOssjkp16m3Lrnkkrz77ruZMWOGDxuDekxWoXzIK5QHWYXyIKtQHmSVzUm5DgAAAAAABSnXAQAAAACgIOU6AAAAAAAUpFwHAAAAAICCGtV04OLFi7N06dLNOZd6bcGCBUmSadOmVX8N1D+zZ89OIqtQ38kqlAdZhfIgq1A+5BXKw8KFC2s0rqJUKpU2Nmjx4sXp3r17li1b9qEnVs4qGlSktHKjLxdQx2QVyoOsQnlo0KBBVq5cWdfTADZCVqF8yCuUh4YNG+bXv/519tlnn/WOqdFvri9dujTLli3L5MmT071791qbYDmZNm1aLrroogy6dlA6dO1Q19MB1mP+r+Zn+mXTZRXqOVmF8rA6q5/kdQCUg9XrVVmF+k9eoTwsWLAggwYNStOmTTc4rsZvC5Mk3bt3T+/evT/UxMrV6lt1OnTtkI5VHet4NsD6vPiHF5PIKtR3sgrlYXVWP8nrACgHq9ersgr1n7zCx4sPNAUAAAAAgIKU6wAAAAAAUJByHQAAAAAAClKu87E3rN2w/G7q7+p6Gknq11ygvqlP+ahPc4H6pj7loz7NBT5OHnzwwVRUVOQf//hHXU+lXs0F6pv6lI/6NBeob+pTPurTXD4uaqVcP/XUU1NRUZExY8assf2ee+5JRUVFbZyi1t1111059NBDs9VWW6WioiLz5s2r6ymRZOFjCzN86+G57qTrau2YIxeMTI/+PWrteICsQrmQVfho1OZ6qHPnzpkwYUKNx48ePToNGzbMd7/73ULn2ZB99903S5YsSZs2bWrtmFAfyCqUB1mlnNTab643a9YsV1xxRV577bXaOmSSZPny5bV6vNXeeuut7L///rniiis2y/HZNI9OfjQHfPWAPPfIc/nnkn/WyjFbd2idRk0b1cqxgFVkFcqDrMJHZ3OthzbmhhtuyAUXXJAbbrih1o7ZpEmTVFZW1ttflIIPQ1ahPMgq5aLWyvX+/funsrIyo0ePXu+YSy65JL169Vpj24QJE9K5c+fqx6eeemqOPfbYXHbZZdl2222zyy67JEl+9KMfZeedd06zZs3SoUOHnHDCCdX7rFy5MqNHj84OO+yQ5s2bp6qqKj//+c83ON8vf/nLufjii9O/f//iF8tm8c6b72TuPXOz3+n7pceAHnnstseqn1v2j2W5+Yyb8x87/0fO3/b8fGfP7+TRWx5Nkry3/L38/IKf5+LuF+e8bc7Lpbtdmge+90D1vh+8ZXzhowsz9sCxOW+b8zLu4HH53dTfZVi7YfnbU39Lkvzxf/6YYe2G5Q///YeMO3hczv/0+Zlw2IS8+McX15jvU9OeypUHXZnztjkvo3YflfuuuC8r3ltR/fzLz72cq468Kudtc15Gf3Z0np317GZ53eCjJqtQHmQVPlo1WQ8lyZ133pmePXumadOm6dy5c8aNG1f93EEHHZS//OUvGT58eCoqKja6CP/v//7v/Otf/8rIkSPz+uuv5+GHH17j+d/+9rfp169fWrVqldatW2ePPfbIE088kST5y1/+kqOPPjpt27ZNixYt0rNnz0ybNi3Jum8Zv/7669OxY8dsscUWOe644zJ+/PhsueWW1c+vXuvdfPPN6dy5c9q0aZOTTz45b7zxRvWYmqzbpk2blq5du6Z58+bp169fFi1atMHXAIqSVVmlPMiqrJaLWvu1o4YNG+byyy/PF7/4xZx11lnZbrvtNvlYM2bMSOvWrfPAA6sWck888UTOOuus3Hzzzdl3333z6quv5te//nX1+NGjR2fy5Mm55pprsvPOO+ehhx7KoEGD0r59+/Tt2/dDXxsfjbn3zM2ndv5UOuzcIXueuGfu/vbd6T+8fyoqKjLt8ml54dkX8rUpX0uLrVpk6Z+X5t23302SPHTtQ/n99N9n8A2D03a7tvnH8//Ia8+v+yebb7/+dq7/4vXpMaBHTrnulLz611dz93/cvc6xU78zNceMOiYtt2qZKedOye3fvD1n33d2kuS5R57LLV+/JV8Y84V02adLXln4Su4YfkeS5PBvHZ6VK1fmhlNuSKtPtcrwB4bn7dffzt3fXvd5oNzIKpQHWYWPVk3WQ3PmzMmJJ56YSy65JCeddFIefvjhfOMb38hWW22VU089NXfddVeqqqpyxhln5Ktf/epGzzlx4sQMHDgwjRs3zsCBAzNx4sTsu+++1c9/6Utfyu67754f//jHadiwYebNm5fGjRsnSc4888wsX748Dz30UFq0aJH58+enZcuW6zzP7NmzM3To0FxxxRX5/Oc/n1/96le56KKL1hr33HPP5Z577skvfvGLvPbaaznxxBMzZsyYXHbZZUk2vm7761//mi984Qs588wzc8YZZ+SJJ57IueeeW6PXH2pKVmWV8iCrslouavWe3uOOOy69evXKiBEjMnHixE0+TosWLfKTn/wkTZo0SbLq/dFbtGiRo446Kq1atUqnTp2y++67J0neeeedXH755fnVr36VffbZJ0nSpUuX/M///E+uvfZa5XoZeXTyo9nzf+2ZJOl2SLf86/V/5U+z/5Sd9985r/3ttXx6109n+923T5Jstf1W1fu99vxrab9j+3T5bJdUVFSkXcd26z3HnDvnpKKiIidNOCmNmzVOZbfK/HPJP3PHsDvWGnvkfx6ZnfbbKUnSf1j/XHfSdXn37XfTuFnj/HLsL3PIsEPSZ2CfJMnWnbfO5779udx7yb05/FuH5w8P/iEv/vHFDP350LTZpk318a498draebGgDskqlAdZhY/extZD48ePzyGHHFK9gO7atWvmz5+f7373uzn11FPTrl27NGzYMK1atUplZeUGz/X666/n5z//eR555JEkyaBBg3LAAQfk+9//fvVifvHixTn//PPTrVu3JMnOO+9cvf/ixYtz/PHHZ9ddd02yag21PldffXWOOOKInHfeedXzfvjhh/OLX/xijXErV67MpEmT0qpVqySr7haeMWNGLrvsshqt23784x9nxx13rP6tw1122SVPPfWUt/Kk1smqrFIeZFVWy0GtvS3MaldccUVuuummLFiwYJOPseuuu1YX60kyYMCAdOrUKV26dMmXv/zl3HLLLVm2bFmS5E9/+lOWLVuWAQMGpGXLltV/fvrTn+a555770NfDR+PFP76Yvzz5l/Q+vneSpGGjhtn9uN3z6ORVt6jvd9p+mXv33Iw9cGzuHXFvFj66sHrfPgP75Pmnns/lfS7Pnf/nzjwz85n1nuelP76UbXtum8bNGldv67RHp3WO3bbnttVft+7QOkny5tI3kyTP//753P/d+3NBxwuq/9wx7I68/sLrWb5seV78w4tp++m21QVAknTu07ngqwL1j6xCeZBVqDsbWg8tWLAg++233xrb9ttvv/zxj3/MihUr1hq/Ibfddlt23HHHVFVVJUl69eqVTp065Y473v/h1jnnnJMhQ4akf//+GTNmzBrro7POOivf+c53st9++2XEiBH53e9+t9Y5Vnv22WfTp0+fNbZ98HGy6kPjVhcASbLNNtvkpZdeSlKzdduCBQuy9957r3HM1YUB1DZZlVXKg6zKan1X659GdeCBB+awww7LhRdemFNPPXWN5xo0aJBSqbTGtnfffXetY7Ro0WKNx61atcqTTz6ZBx98MPfff38uvvjiXHLJJXn88cfz5purFmVTp07Npz/96TX2a9q0aS1cER+FRyc/mpXvrcyIHiOqt5VKpTRq2ijHjz0+PQb0yIjfjsj8B+bn2QefzY+O+1H2/8r+OWbUMelY1TEXz7048381P3/47z9k0umTskvfXXLaTad9qDk1aPxvP3v6/2/LtXLlyiTJ8reW5/D/c3h2O2q3tfZr1MyHvPHxJatQHmQV6s6G1kO1aeLEiXn66afTqNH7GVm5cmVuuOGGfOUrX0my6v1av/jFL2bq1KmZPn16RowYkdtvvz3HHXdchgwZksMOOyxTp07N/fffn9GjR2fcuHH55je/uclzWn1r/GoVFRXVObduo76R1ffJKvWZrL5PVuunzbJaGTNmTHr16lX9YaSrtW/fPi+88EJKpVL1hwjMmzevRsds1KhR+vfvn/79+2fEiBHZcsstM3PmzAwYMCBNmzbN4sWLvQVMmVrx3oo8fsfjOWbUMenWr9saz0388sQ8eeeT2e+0/dJy65bpM7BP+gzsk9n7zM69F9+bY0YdkyRp1rpZen+hd3p/oXeqPl+Va//XtXnrtbfSou2aP6j51M6fyhM/eyLvvfNeGjVd9dd/8ZOLC895u922y0t/fCntu7Rf5/MdunbIa8+/ln++8M+0qVz1W3aLHl9U+DxQn8gqlAdZhbq3vvVQ9+7dM3v27DW2zZ49O127dk3Dhg2TJE2aNNnob9s99dRTeeKJJ/Lggw+mXbv337rp1VdfzUEHHZRnnnmm+pb1rl27pmvXrhk+fHgGDhyYG2+8Mccdd1ySpGPHjhk6dGiGDh2aCy+8MNdff/06S4Bddtkljz/++BrbPvh4Y3r06LHRdVv37t1z7733rrHtN7/5TaHzQBGyujZZpT6S1bXJav2xWcr1XXfdNV/60pdy1VVXrbH9oIMOyssvv5yxY8fmhBNOyH333Zfp06endevWGzzeL37xi/z5z3/OgQcemLZt22batGlZuXJldtlll7Rq1SrnnXdehg8fnpUrV2b//ffPP//5z8yePTutW7fO4MGD13nMV199NYsXL87f//73JKtuyUiSysrKjb4PE7Xr6V8+nWX/WJbPfvmzad66+RrP7Xb0bvnN5N/kn0v+mY69OqayW2Xee+e9zP/l/HTo2iFJMuuHs9K6snW223W7VDSoyG//67dp3aF1mrdpvta59jh+j0z9ztTcMfyOHHL2IXntb69l5g9mJslGPzX63x16/qG5fuD1abtd21R9vioVDSry99//PUueWZIj/+PIdD2oaz6146dy6zduzedHfj5vv/F2pl027UO8SlD3ZBXKg6xC3Vvfeujcc8/NXnvtlVGjRuWkk07KI488kh/84Af50Y9+VD2mc+fOeeihh3LyySenadOm2Xrrrdc6/sSJE9OnT58ceOCBaz231157ZeLEiRk5cmTOP//8nHDCCdlhhx3yt7/9LY8//niOP/74JMmwYcNyxBFHpGvXrnnttdcya9asdO/efZ3X881vfjMHHnhgxo8fn6OPPjozZ87M9OnTC+W8Juu2oUOHZty4cTn//PMzZMiQzJkzJ5MmTarxOaAoWV2brFIfyeraZLX+qPX3XF9t5MiR1bcqrNa9e/f86Ec/yg9/+MNUVVXlscceq37z/g3Zcsstc9ddd+Xggw9O9+7dc8011+S2225Lz549kySjRo3KRRddlNGjR6d79+45/PDDM3Xq1Oywww7rPea9996b3XffPUceeWSS5OSTT87uu++ea6655kNcNZvi0cmPZpe+u6xVACRJ1dFV+evcv6ZBowb5xchfZOwBY3P1UVenomFFBk9c9YOTZi2bZeZVMzPukHEZf8j4vPrXV3PGHWekQYO1/3o3a90sX731q3n+qefz3b7fzbTLpuWwCw5LkurfuKuJ7od0z1dv+2qenfVsxvcfnwmHTsiDP34w7bZb9RPOBg0a5PSbT8+7b7+b8f3H5/azb8/n/uNzm/LyQL0hq1AeZBXqh3Wth3r37p0pU6bk9ttvz2c+85lcfPHFGTly5Bq3uY8cOTKLFi3KjjvumPbt176bY/ny5Zk8eXL1Yv6Djj/++Pz0pz9NgwYN8sorr+SUU05J165dc+KJJ+aII47IpZdemiRZsWJFzjzzzOr1U9euXdcoI/7dfvvtl2uuuSbjx49PVVVV7rvvvgwfPjzNmjUr9JpsbN22/fbb584778w999yTqqqqXHPNNbn88ssLnQOKktW1ySr1kayuTVbrh4rSB98EfR2efPLJ7LHHHpkzZ0569+79Ucyr3rnlllsyaNCgnDvr3HSs6ljX06EWPfGzJ3Lb/74toxeNTpPmTTa+A/XaEz97IpO/NllWP4Zk9eNFVj++ZPXjZXVWP8nrANbtq1/9ap555pn8+te/ruupkPfXq7LKB8lq/SOvrIus1j817cN9QhSfOI/d/li27rx12mzTJs///vn830v+b3od20sBAPWMrEJ5kFX4ZLjyyiszYMCAtGjRItOnT89NN9203t/IA+qOrEJ5kNWPD+U6nzhvvPRGpo+enjdeeiOtO7ROr2N65cj/PLKupwV8gKxCeZBV+GR47LHHMnbs2Lzxxhvp0qVLrrrqqgwZMqSupwV8gKxCeZDVjw/lOp84h5x1SA4565C6ngawEbIK5UFW4ZNhypQpdT0FoAZkFcqDrH58bLYPNAUAAAAAgI8r5ToAAAAAABSkXAcAAAAAgIIKvef6ggULNtc86r2FCxcmSV78w4t1PBNgQ15Z/EoSWYX6TlahPKzO6id5HQDlYPV6VVah/pNXKA81zWhFqVQqbWzQ4sWL07179yxbtuxDT6ycVTSoSGnlRl8uoI7JKpQHWYXy0KBhg6xcsbKupwFsRMOGDbNixYq6ngZQA/IK5WGLLbbIggULsv322693TI3K9WRVwb506dJam1w5euedd9K0adO6ngawEbIK5UFWoTzIKpQHWYXyIa9QHrbeeusNFutJgXIdAAAAAABYxQeaAgAAAABAQcp1AAAAAAAoSLkOAAAAAAAFKdcBAAAAAKAg5ToAAAAAABSkXAcAAAAAgIKU6wAAAAAAUJByHQAAAAAAClKuAwAAAABAQcp1AAAAAAAoSLkOAAAAAAAFKdcBAAAAAKAg5ToAAAAAABSkXAcAAAAAgIKU6wAAAAAAUJByHQAAAAAAClKuAwAAAABAQcp1AAAAAAAoSLkOAAAAAAAFKdcBAAAAAKAg5ToAAAAAABSkXAcAAAAAgIKU6wAAAAAAUJByHQAAAAAAClKuAwAAAABAQcp1AAAAAAAoSLkOAAAAAAAFKdcBAAAAAKAg5ToAAAAAABSkXAcAAAAAgIKU6wAAAAAAUJByHQAAAAAAClKuAwAAAABAQcp1AAAAAAAoSLkOAAAAAAAFKdcBAAAAAKAg5ToAAAAAABSkXAcAAAAAgIKU6wAAAAAAUJByHQAAAAAAClKuAwAAAABAQcp1AAAAAAAoSLkOAAAAAAAFKdcBAAAAAKAg5ToAAAAAABSkXAcAAAAAgIKU6wAAAAAAUJByHQAAAAAAClKuAwAAAABAQcp1AAAAAAAoSLkOAAAAAAAFKdcBAAAAAKAg5ToAAAAAABSkXAcAAAAAgIKU6wAAAAAAUJByHQAAAAAAClKuAwAAAABAQcp1AAAAAAAoSLkOAAAAAAAFKdcBAAAAAKAg5ToAAAAAABSkXAcAAAAAgIKU6wAAAAAAUJByHQAAAAAAClKuAwAAAABAQcp1AAAAAAAoSLkOAAAAAAAFKdcBAAAAAKAg5ToAAAAAABSkXAcAAAAAgIKU6wAAAAAAUJByHQAAAAAAClKuAwAAAABAQcp1AAAAAAAoSLkOAAAAAAAFKdcBAAAAAKAg5ToAAAAAABSkXAcAAAAAgIKU6wAAAAAAUJByHQAAAAAACvp/kSz0DVZHyF0AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query2: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query3: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query4: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) < (shifts[0,0,1])]\n",
      "Query5: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,0,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,0,1])]\n",
      "Size of CL:  1\n",
      "Size of B:  393\n",
      "Number of Queries:  6\n",
      "Query6: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query7: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query8: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query9: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) == (shifts[0,0,1]), (shifts[0,0,0]) <= (shifts[0,0,1])]\n",
      "Query10: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) == (shifts[0,1,0]), (shifts[0,0,0]) < (shifts[0,1,0]), (shifts[0,0,0]) <= (shifts[0,1,0])]\n",
      "Query11: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) > (shifts[0,1,0])]\n",
      "Query12: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) < (shifts[0,1,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,1]) != (shifts[0,1,0])]\n",
      "Size of CL:  2\n",
      "Size of B:  385\n",
      "Number of Queries:  13\n",
      "Query13: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query14: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query15: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query16: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) >= (shifts[0,0,1])]\n",
      "Query17: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query18: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,1,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,1,0])]\n",
      "Size of CL:  3\n",
      "Size of B:  382\n",
      "Number of Queries:  19\n",
      "Query19: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query20: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query21: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) >= (shifts[0,1,0]), (shifts[0,0,1]) == (shifts[0,1,0]), (shifts[0,0,1]) >= (shifts[0,1,0])]\n",
      "Query22: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query23: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query24: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,1,1])]\n",
      "Query25: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) < (shifts[0,1,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,1,1])]\n",
      "Size of CL:  4\n",
      "Size of B:  376\n",
      "Number of Queries:  26\n",
      "Query26: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query27: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query28: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) <= (shifts[0,1,0])]\n",
      "Query29: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query30: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) <= (shifts[0,1,1]), (shifts[0,0,0]) == (shifts[0,1,1])]\n",
      "Query31: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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k1b6QVRSHrNoXsorikFX7Q15RFLJqf8paD78jt4UB7lZvv/22IiIi5ObmplWrVmn27NkFLjcCYD/IK2AOZBUwB7IKmANZBcyBrN49KK4DNti+fbvGjx+vCxcuqGHDhpo8ebKio6MrelgAikBeAXMgq4A5kFXAHMgqYA5k9e5BcR2wwaJFiyp6CADKiLwC5kBWAXMgq4A5kFXAHMjq3cOhogcAAAAAAAAAAIDZUFwHAAAAAAAAAMBGFNcBAAAAAAAAALCRTfdcT01NVVZW1p0ai11LS0uTdG9vA8AMyCpgDmQVMAeyCpgDWQXMg7wC5nDo0KEytbMYhmGU1mjr1q1q06aNcnNzb3tgZubg4KC8vLyKHgaAUlgcLDLySj20AahgnFcBcyCrgDmQVcA8yCtgDo6Ojtq8ebNat25dbJsy/XLdxcVFubm5mjt3rgICAsptgGaSmpqq4cOH39PbADCD/Kz2/qC3vPy9Kno4AIqx99O9WjV6FedVwM7xHRgwB7IKmAd5BcwhKytLvXv3louLS4ntbLotTEBAgFq0aHFbAzOr/Et17uVtAJhBfla9/L3kE+RTwaMBUJyTX5+UxHkVsHd8BwbMgawC5kFegbsLDzQFAAAAAAAAAMBGFNcBAAAAAAAAALARxXUAAAAAAAAAAGxEcR0oxoYNG2SxWHT27NmKHopdjQW4UwbUGKAvV35Z0cOQZF9jAe4m9nQ+s6exAPbGnvJhT2MB7I095cOexgLYG3vKhz2N5W5RLsX1vn37ymKxaOzYsQWmL1++XBaLpTy6KFdXr17V66+/rubNm8vNzU1169bVCy+8oO+//76ih2Zq5bkf+Pn5adKkSWVun5iYKEdHR02YMMGmfkry+9//XtnZ2fL09Cy3dQJ3i0PbDym2Vqw+7Plhua0zIStBgeGB5bY+4G7AuRUwB7IKmANZBcyBrMJMyu2X666urho3bpzOnDlTXquUJF25cqVc1ydJOTk52rVrl4YPH65du3Zp6dKl2r9/v55++uly7+tec6f2g9LMmDFDQ4YM0YwZM8ptnZUqVZK3t7dd/oEIqGjb5m5Tm5fb6ODWgzqXfa5c1unh5SEnF6dyWRdwN+HcCpgDWQXMgawC5kBWYRblVlwPDw+Xt7e3EhMTi20zcuRIBQcHF5g2adIk+fn5Wd/37dtXzz77rEaPHq26deuqSZMmkqSpU6eqcePGcnV1lZeXl7p3725dJi8vT4mJiWrQoIEqV66soKAgLV68uNhxeHp6as2aNerRo4eaNGmiRx99VO+++67S09N19OjRW9sAkFS2/UCSlixZombNmsnFxUV+fn6aOHGidV67du105MgRxcbGymKxlHrw2bhxoy5evKiEhASdP39eW7ZsKTD/iy++UPv27eXu7i4PDw+1bNlSO3fulCQdOXJEXbp0UfXq1eXm5qZmzZopNTVVUtGXykyfPl0+Pj6qUqWKunbtqqSkJFWrVs06P38f/+ijj+Tn5ydPT0/16tVLFy5csLYpy/6ampoqf39/Va5cWe3bt9fhw4dL3AbAb+nyz5e1e/luhb4UqsCIQG2fv906L+dsjj7680d6o/Ebiqsbp7davaVt87ZJkq5duabFQxZrRMAIDa4zWG8++KbWvLPGuuzNt2I5tO2QxoeN1+A6gzXx8Yn6cuWXGlBjgI5lHpMkHfjsgAbUGKCvN36tiY9PVNz9cZrUcZJOHjhZYLyZqZl6u93bGlxnsEY9NEqrx61W7rVc6/wfDv6gyZ0na3CdwUp8NFH71++/I9sNuFWcWzm3whzIKlmFOZBVsgpzIKtk1SzKrbju6OioMWPGaMqUKTp27NhtrWvt2rXav3+/1qxZo5SUFO3cuVP9+/dXQkKC9u/fr9WrVyssLMzaPjExUXPmzNG0adO0Z88excbGqnfv3tq4cWOZ+zx37pwsFkuBHRm2K8t+kJ6erh49eqhXr17KzMzUyJEjNXz4cM2aNUuStHTpUtWrV08JCQnKzs5WdnZ2iX0mJycrMjJSzs7OioyMVHJycoH5zz//vOrVq6cdO3YoPT1dQ4cOlbOzsyTp1Vdf1eXLl7Vp0yZlZmZq3Lhxqlq1apH9pKWlKSYmRq+99poyMjIUERGh0aNHF2p38OBBLV++XCkpKUpJSdHGjRsLXMpU2v763Xff6bnnnlOXLl2UkZGh6OhoDR06tMRtAPyWdi/frfsa3yevxl5q1aOVts3bJsMwJEmpY1J1Yv8JvbLoFQ39fKj++PYf5VbTTZK06YNN+mrVV+ozo4/+vv3vivowSjXq1yiyj0vnL2n6n6arbmBdDV4/WJ2GddInb35SZNuVb63UM6Oe0aC1g+Tg5KAF/RZY5x3celDz/jJPYa+EaejWoeqR1EPb52/XmonXi/p5eXma8cIMOVVyUuyaWPVI6lFsP0BF4dzKuRXmQFbJKsyBrJJVmANZJatmUa7X33ft2lXBwcGKj48vtAPaws3NTf/6179UqVIlSdfD4Obmpqeeekru7u7y9fXVQw89JEm6fPmyxowZo08//VStW7eWJDVs2FCfffaZPvjgA7Vt27bU/i5duqTXX39dkZGR8vDwuOVx47rS9oOkpCR16NBBw4cPlyT5+/tr7969mjBhgvr27asaNWrI0dFR7u7u8vb2LrGv8+fPa/Hixdq6daskqXfv3mrTpo3++c9/Wg9iR48eVVxcnJo2bSpJaty4sXX5o0ePqlu3bmrevLmk6/tOcaZMmaJOnTpp8ODB1nFv2bJFKSkpBdrl5eVp1qxZcnd3lyRFRUVp7dq1Gj16dJn21/fff1+NGjWy/rW1SZMm1gMzYA+2zd2mVn9sJUlq2qGpLp6/qG/SvlHjxxrrzLEzur/5/ar/UH1JUs36Na3LnTl+RrUb1VbDRxvKYrGohk/RhXVJSl+SLovFop6TesrZ1VneTb11LvucFg5YWKht53901gOhD0iSwgeE68OeH+rqpatydnXWf8f/Vx0GdFBIZIgkqZZfLf3h73/QipEr9OTrT+rrDV/r5IGTilkcI886ntb1fdDjg/LZWEA54dzKuRXmQFbJKsyBrJJVmANZJatmUG6/XM83btw4zZ49W1lZWbe8jubNm1sL65IUEREhX19fNWzYUFFRUZo3b55ycnIkSd98841ycnIUERGhqlWrWl9z5szRwYMHS+3r6tWr6tGjhwzD0Pvvv3/LY0ZBJe0HWVlZCg0NLTAtNDRUBw4cUG5ubqH2JZk/f74aNWqkoKAgSVJwcLB8fX21cOGNAtzAgQMVHR2t8PBwjR07tsB+0b9/f7311lsKDQ1VfHy8vvzyy0J95Nu/f79CQkIKTLv5vXT9YRn5Bz5JqlOnjk6dOiWpbPtrVlaWHnnkkQLrzD9QAhXt5IGTOrLriFp0ayFJcnRy1ENdH9K2uddv/RL6Yqh2L9ut8WHjtSJ+hQ5tO2RdNiQyRMczj2tMyBgtGbpE+9btK7afUwdOqW6zunJ2dbZO823pW2Tbus3qWv/t4XX9D6Q/n/5ZknT8q+P634T/aYjPEOtr4YCFOn/ivK7kXNHJr0+q+v3VrYV1SfIL8bNxqwC/Dc6tnFthDmSVrMIcyCpZhTmQVbJq78q9uB4WFqaOHTtq2LBhhTtzcLDeOiDf1atXC7Vzc3Mr8N7d3V27du3S/PnzVadOHY0YMUJBQUE6e/asfv75egFl5cqVysjIsL727t1b4n3X8/vu0aOHjhw5ojVr1vCr9XJU0n5QnpKTk7Vnzx45OTlZX3v37i3w4ImRI0dqz5496ty5s9atW6fAwEAtW7ZMkhQdHa1vv/1WUVFRyszMVKtWrTRlypTbGlP+JUH5LBaL8vLyJOm29lfAHmybu0151/IUHxivgbUHamDtgUqbkaYvPvlCF89fVGBEoOK/iFe7v7TTuRPnNLXrVP1n+H8kST5BPhqxe4Q6DeukqxevatZLszSzz8zbHpOD869OZf//Fnr5mbvyyxU9OfRJxW2Ms76GfDZEb+x8Q06uPDwV5sK59QbOrbBnZPUGsgp7RlZvIKuwZ2T1BrJqn+5IZWHs2LEKDg62Pow0X+3atXXixAkZhmF9iEBGRkaZ1unk5KTw8HCFh4crPj5e1apV07p16xQRESEXFxcdPXq0TLeAyZdfWD9w4IDWr1+vmjVrlr4QbFLcfhAQEKC0tLQC09LS0uTv7y9HR0dJ15+kXNpfGTMzM7Vz505t2LBBNWrcuL3ETz/9pHbt2mnfvn3WS3X8/f3l7++v2NhYRUZGaubMmerataskycfHRzExMYqJidGwYcM0ffp09evXr1B/TZo00Y4dOwpMu/l9aQIDA0vdXwMCArRixYoC0z7//HOb+gHuhNxrudqxcIeeGfWMmrZvWmBeclSydi3ZpdAXQ1W1VlWFRIYoJDJEaa3TtGLECj0z6hlJkquHq1o810ItnmuhoKeD9MEfP9AvZ36RW/WCf1S9r/F92vnvnbp2+ZqcXK6fqo7usv2B0/UerKdTB06pdsPaRc738vfSmeNndO7EOXl6X//1+uEdh23uB/itcG4tjHMr7BFZLYyswh6R1cLIKuwRWS2MrNqPO1Jcb968uZ5//nlNnjy5wPR27drphx9+0Pjx49W9e3etXr1aq1atKvUX4ykpKfr2228VFham6tWrKzU1VXl5eWrSpInc3d01ePBgxcbGKi8vT4899pjOnTuntLQ0eXh4qE+fPoXWd/XqVXXv3l27du1SSkqKcnNzdeLECUlSjRo1CtySBreuuP1g0KBBevjhhzVq1Cj17NlTW7du1bvvvqupU6da2/j5+WnTpk3q1auXXFxcVKtWrULrT05OVkhISIGH2+Z7+OGHlZycrISEBMXFxal79+5q0KCBjh07ph07dqhbt26SpAEDBqhTp07y9/fXmTNntH79egUEBBT5efr166ewsDAlJSWpS5cuWrdunVatWlXq06Z/rSz7a0xMjCZOnKi4uDhFR0crPT3d+jAOoCLt+e8e5ZzN0aNRj6qyR+UC8x7s8qA+n/u5zmWfk0+wj7ybeuva5Wva+9+98vL3kiStf2+9PLw9VK95PVkcLPriP1/Iw8tDlT0rF+qrZbeWWvnWSi2MXagOr3XQmWNntO7ddZJkU+aeiHtC0yOnq3q96gp6OkgWB4u+/+p7Ze/LVuc3Osu/nb/ua3SfPv7rx3o64WldunBJqaNTb2MrAXcW59bCOLfCHpHVwsgq7BFZLYyswh6R1cLIqv0o99vC5EtISLBeqpAvICBAU6dO1XvvvaegoCBt377devP+klSrVk1Lly7V448/roCAAE2bNk3z589Xs2bNJEmjRo3S8OHDlZiYqICAAD355JNauXKlGjRoUOT6jh8/rhUrVujYsWMKDg5WnTp1rK8tW7bc/oeHVVH7QYsWLbRo0SItWLBAv/vd7zRixAglJCSob9++BZY7fPiwGjVqpNq1C//i9MqVK5o7d671IHazbt26ac6cOXJwcNCPP/6oF154Qf7+/urRo4c6deqkN998U5KUm5urV1991brf+Pv7FzgI/1poaKimTZumpKQkBQUFafXq1YqNjZWrq6tN26S0/bV+/fpasmSJli9frqCgIE2bNk1jxoyxqQ/gTtg2d5uatG1SqLAuSUFdgvTd7u/k4OSglIQUjW8zXlOemiKLo0V9kq//kdO1qqvWTV6niR0mKqlDkn767if9eeGf5eBQ+FTk6uGqlz9+Wcczj2tC2wlKHZ2qjkM6SpL1l+xlEdAhQC/Pf1n71+9XUniSJj0xSRve36Aa9a7/GsHBwUEvffSSrl66qqTwJC14bYH+8MYfbmXzAL8Zzq2FcW6FPSKrhZFV2COyWhhZhT0iq4WRVftgMW6+CXoRdu3apZYtWyo9PV0tWrT4LcZld+bNm6fevXvf09sAhb388svat2+fNm/eXNFDwf+Xn9VB6wfJJ8inooeDcrTz3zs1/2/zlXg4UZUqc4WR2e38907NfWUu51UUwrnVvvAdGMUhq/aFrKI4ZNX+kFcUhazan7LWw3maG2CDt99+WxEREXJzc9OqVas0e/bsYv8SCeD2bF+wXbX8asmzjqeOf3Vcn4z8RMHPBlNYB+4ynFsBcyCrgDmQVcAcyOrdg+I6YIPt27dr/PjxunDhgho2bKjJkycrOjq6oocF3JUunLqgVYmrdOHUBXl4eSj4mWB1/kfnih4WgHLGuRUwB7IKmANZBcyBrN49KK4DNli0aFFFDwG4Z3To30Ed+neo6GEAuMM4twLmQFYBcyCrgDmQ1bvHHXugKQAAAAAAAAAAdyuK6wAAAAAAAAAA2IjiOgAAAAAAAAAANqK4DgAAAAAAAACAjWx6oGlqaqqysrLu1FjsWlpamqR7exsAZpCf1b2f7tXJr09W8GgAFOfbbd9K4rwK2Du+AwPmQFYB8yCvgDkcOnSoTO0shmEYpTXaunWr2rRpo9zc3NsemJlZHCwy8krdXAAqmIODg/Ly8ip6GABKQVYBcyCrgDmQVcA8yCtgDo6Ojtq8ebNat25dbJsy/XLdxcVFubm5mjt3rgICAsptgGaSmpqq4cOHq/cHveXl71XRwwFQjL2f7tWq0avu6eMVYAb551WyCtg3sgqYA1kFzIO8AuaQlZWl3r17y8XFpcR2Nt0WJiAgQC1atLitgZlV/qU6Xv5e8gnyqeDRAChO/q1g7uXjFWAG+edVsgrYN7IKmANZBcyDvAJ3Fx5oCgAAAAAAAACAjSiuAwAAAAAAAABgI4rruOsNqDFAX678sqKHIcm+xgLcTTZs2CCLxaKzZ89W9FDsaiyAvbGnfNjTWAB7Y0/5sKexAPbGnvJhT2MB7I095cOexnK3KJfiet++fWWxWDR27NgC05cvXy6LxVIeXZS7kSNHqmnTpnJzc1P16tUVHh6ubdu2VfSw7nmHth9SbK1Yfdjzw3JbZ0JWggLDA8ttfcDdoDyP235+fpo0aVKZ2ycmJsrR0VETJkywqZ+S/P73v1d2drY8PT3LbZ2APSCrgDmQVcAcyCpgDmQVZlJuv1x3dXXVuHHjdObMmfJapSTpypUr5bq+fP7+/nr33XeVmZmpzz77TH5+fnriiSf0ww8/3JH+UDbb5m5Tm5fb6ODWgzqXfa5c1unh5SEnF5ue3QvcE+7Ucbs0M2bM0JAhQzRjxoxyW2elSpXk7e1tt3/QBW4HWQXMgawC5kBWAXMgqzCLciuuh4eHy9vbW4mJicW2GTlypIKDgwtMmzRpkvz8/Kzv+/btq2effVajR49W3bp11aRJE0nS1KlT1bhxY7m6usrLy0vdu3e3LpOXl6fExEQ1aNBAlStXVlBQkBYvXlzieP/0pz8pPDxcDRs2VLNmzZSUlKTz58/ryy+5ZUdFufzzZe1evluhL4UqMCJQ2+dvt87LOZujj/78kd5o/Ibi6sbprVZvadu861caXLtyTYuHLNaIgBEaXGew3nzwTa15Z4112ZtvxXJo2yGNDxuvwXUGa+LjE/Xlyi81oMYAHcs8Jkk68NkBDagxQF9v/FoTH5+ouPvjNKnjJJ08cLLAeDNTM/V2u7c1uM5gjXpolFaPW63ca7nW+T8c/EGTO0/W4DqDlfhoovav339Hthtwq8py3JakJUuWqFmzZnJxcZGfn58mTpxondeuXTsdOXJEsbGxslgspX5Z2Lhxoy5evKiEhASdP39eW7ZsKTD/iy++UPv27eXu7i4PDw+1bNlSO3fulCQdOXJEXbp0UfXq1eXm5qZmzZopNTVVUtGXtk2fPl0+Pj6qUqWKunbtqqSkJFWrVs06P/+c9NFHH8nPz0+enp7q1auXLly4YG1TlvNLamqq/P39VblyZbVv316HDx8ucRsAtiKrZBXmQFbJKsyBrJJVmANZJatmUW7FdUdHR40ZM0ZTpkzRsWPHbmtda9eu1f79+7VmzRqlpKRo586d6t+/vxISErR//36tXr1aYWFh1vaJiYmaM2eOpk2bpj179ig2Nla9e/fWxo0by9TflStX9OGHH8rT01NBQUG3NXbcut3Ld+u+xvfJq7GXWvVopW3ztskwDElS6phUndh/Qq8sekVDPx+qP779R7nVdJMkbfpgk75a9ZX6zOijv2//u6I+jFKN+jWK7OPS+Uua/qfpqhtYV4PXD1anYZ30yZufFNl25Vsr9cyoZzRo7SA5ODloQb8F1nkHtx7UvL/MU9grYRq6dah6JPXQ9vnbtWbi9aJ+Xl6eZrwwQ06VnBS7JlY9knoU2w9QUcpy3E5PT1ePHj3Uq1cvZWZmauTIkRo+fLhmzZolSVq6dKnq1aunhIQEZWdnKzs7u8Q+k5OTFRkZKWdnZ0VGRio5ObnA/Oeff1716tXTjh07lJ6erqFDh8rZ2VmS9Oqrr+ry5cvatGmTMjMzNW7cOFWtWrXIftLS0hQTE6PXXntNGRkZioiI0OjRowu1O3jwoJYvX66UlBSlpKRo48aNBS49LO388t133+m5555Tly5dlJGRoejoaA0dOrTEbQDYiqySVZgDWSWrMAeySlZhDmSVrJpFud4ro2vXrgoODlZ8fHyhHdAWbm5u+te//qVKlSpJuh4GNzc3PfXUU3J3d5evr68eeughSdLly5c1ZswYffrpp2rdurUkqWHDhvrss8/0wQcfqG3btsX2k5KSol69eiknJ0d16tTRmjVrVKtWrVseN27Ptrnb1OqPrSRJTTs01cXzF/VN2jdq/FhjnTl2Rvc3v1/1H6ovSapZv6Z1uTPHz6h2o9pq+GhDWSwW1fApurAuSelL0mWxWNRzUk85uzrLu6m3zmWf08IBCwu17fyPznog9AFJUviAcH3Y80NdvXRVzq7O+u/4/6rDgA4KiQyRJNXyq6U//P0PWjFyhZ58/Ul9veFrnTxwUjGLY+RZx9O6vg96fFA+GwsoJ6Udt5OSktShQwcNHz5c0vVbau3du1cTJkxQ3759VaNGDTk6Osrd3V3e3t4l9nX+/HktXrxYW7dulST17t1bbdq00T//+U/rl46jR48qLi5OTZs2lSQ1btzYuvzRo0fVrVs3NW/eXNL1Y31xpkyZok6dOmnw4MHWcW/ZskUpKSkF2uXl5WnWrFlyd3eXJEVFRWnt2rUaPXp0mc4v77//vho1amT9dUSTJk2sX6SA8kRWySrMgaySVZgDWSWrMAeySlbNoNx+uZ5v3Lhxmj17trKysm55Hc2bN7cW1iUpIiJCvr6+atiwoaKiojRv3jzl5ORIkr755hvl5OQoIiJCVatWtb7mzJmjgwcPlthP+/btlZGRoS1btujJJ59Ujx49dOrUqVseN27dyQMndWTXEbXo1kKS5OjkqIe6PqRtc6/f+iX0xVDtXrZb48PGa0X8Ch3adsi6bEhkiI5nHteYkDFaMnSJ9q3bV2w/pw6cUt1mdeXs6myd5tvSt8i2dZvVtf7bw8tDkvTz6Z8lSce/Oq7/TfifhvgMsb4WDlio8yfO60rOFZ38+qSq31/dWliXJL8QPxu3CvDbKOm4nZWVpdDQ0ALTQkNDdeDAAeXm5hZqX5L58+erUaNG1iuEgoOD5evrq4ULb/xxa+DAgYqOjlZ4eLjGjh1b4Djev39/vfXWWwoNDVV8fHyJt/Hav3+/QkJCCky7+b10/eE2+V9UJKlOnTrW80BZzi9ZWVl65JFHCqwz/4sNUN7IKlmFOZBVsgpzIKtkFeZAVsmqvSv34npYWJg6duyoYcOGFe7MwcF6m498V69eLdTOzc2twHt3d3ft2rVL8+fPV506dTRixAgFBQXp7Nmz+vnn68XOlStXKiMjw/rau3dvqfddd3Nz0wMPPKBHH31UycnJcnJyuq1f3OPWbZu7TXnX8hQfGK+BtQdqYO2BSpuRpi8++UIXz19UYESg4r+IV7u/tNO5E+c0tetU/Wf4fyRJPkE+GrF7hDoN66SrF69q1kuzNLPPzNsek4Pzr+Lx/2/LlZeXJ0m68ssVPTn0ScVtjLO+hnw2RG/sfENOrjw8FeZS0nG7PCUnJ2vPnj1ycnK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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) <= (shifts[0,1,1]), (shifts[0,0,1]) == (shifts[0,1,1]), (shifts[0,0,1]) < (shifts[0,1,1])]\n",
      "Query32: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) > (shifts[0,1,1])]\n",
      "Query33: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) < (shifts[0,1,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,1,0]) != (shifts[0,1,1])]\n",
      "Size of CL:  5\n",
      "Size of B:  367\n",
      "Number of Queries:  34\n",
      "Query34: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query35: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query36: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) > (shifts[0,1,1]), (shifts[0,0,1]) >= (shifts[0,1,1]), (shifts[0,0,0]) >= (shifts[0,1,1]), (shifts[0,1,0]) == (shifts[0,1,1]), (shifts[0,1,0]) >= (shifts[0,1,1])]\n",
      "Query37: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query38: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query39: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) < (shifts[0,2,0]), (shifts[0,0,0]) <= (shifts[0,2,0]), (shifts[0,0,0]) == (shifts[0,2,0])]\n",
      "Query40: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query41: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query42: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) < (shifts[0,2,0])]\n",
      "Query43: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) > (shifts[0,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,1]) != (shifts[0,2,0])]\n",
      "Size of CL:  6\n",
      "Size of B:  356\n",
      "Number of Queries:  44\n",
      "Query44: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query45: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query46: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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IFhYW6kIikSEwq3XTNatfffUVxo4di48//hg9e/ZUnwNbW1vDwcHBYPN54gnSSWFhoQAgCgsLm3sqRm3s2LECgAAgzMzMhJOTkwgJCRFLly4VNTU1Gm1TU1OFq6ursLa2Fv379xcrV64UAERVVZVGu+3btwsAYu3atTrNYeHChaJDhw7CwsJCBAQEiH379jXYft68eaJXr16iVatWwsrKSnh6eoqJEyeKS5cuqdu4u7uLjz76SGM7pVIpYmNjhRBClJeXCwDi8OHD6vUODg5i2bJl6uc3b94Uw4cPFy1bthQANNY9aO3atUIulwsLCwvh4+MjtmzZotNrJyEyMjKYVR0wq4fV6x82q7V9Pfjo06ePTq//Sces6o55Paxe/7B5dXd3rzOvtWNR/ZhV3TV3Vnfs2FHncT527Nh6t/niiy9E3759hZOTk7CwsBAdOnQQ48aNE6dOnVK36dOnj3jnnXc0thsyZIhGvwDExo0b1c9/n+VaUVFRonXr1o1mb8eOHcLPz09YWFgIT0/PBs+Z6T5mVXfM6kb180fJal2vwd3dvdHXT8yrrpjVjernD5vVPn366P0a6D5da8EyIYR4mKL8k+bQoUPo1q0bCgsL4e/v39zTeaJ8+eWXiI6Oxs8//wwLC4vmng4ZuVWrViE8PJxZbQbMKumDWW1ezCvpilltXswq6YpZbV7MKumDeW0+zCrpQ9daMC8LQ0aruroalZWVSExMxFtvvcU3PiIjxawSSQfzSiQNzCqRNDCrRNLArFJT4g1NyWglJyejS5cucHFxwYwZM5p7OkRUD2aVSDqYVyJpYFaJpIFZJZIGZpWaEovrZLTi4uJw584dbN++nTcbIzJizCqRdDCvRNLArBJJA7NKJA3MKjUlFteJiIiIiIiIiIiIiPTE4joRERERERERERERkZ5YXCciIiIiIiIiIiIi0hOL60REREREREREREREejLTtWFFRQUuXbrUlHMxaqWlpQCA7Oxs9X8TkfHJy8sDwKwSGTtmlUgamFUiaWBWiaSDeSWShvLycp3ayYQQorFGFRUVUCgUqK6ufuSJSZmJiQlUKlVzT4OIGsGsEkkDs0okDcwqkTQwq0TSwbwSSYOpqSn27NmDXr161dtGp2+uX7p0CdXV1cjIyIBCoTDYBKUkOzsbM2fOfKL3AZEUMKtE0sCsEkkDs0okDcwqkXQwr0TSUFpaivDwcFhaWjbYTufLwgCAQqGAv7//I01Mqmp/qvMk7wMiKWBWiaSBWSWSBmaVSBqYVSLpYF6JHi+8oSkRERERERERERERkZ5YXCciIiIiIiIiIiIi0hOL60REREREREREREREemJxnageO3fuhEwmw+XLl5t7KkY1FyJjZEwZMaa5EBkbY8qHMc2FyNgYUz6MaS5ExsaY8mFMcyEyNsaUD2Oay+PCIMX1cePGQSaTITExUWP5pk2bIJPJDDGEwW3YsAEvvvgiWrduDZlMhqKiouaekuQZ8jjw8PBAWlqazu0TEhJgamqK+fPn6zVOQ5577jlUVlbCwcHBYH0SGQvmlUgamFUiaWBWiaSBWSWSBmaVpMRg31y3srJCUlISqqqqDNUlAOD27dsG7a/Wb7/9hueffx5JSUlN0v+TqqmOg8YsXboU06ZNw9KlSw3Wp4WFBVxcXIz2D0REj4p5JZIGZpVIGphVImlgVomkgVklqTBYcT0kJAQuLi5ISEiot01cXBz8/Pw0lqWlpcHDw0P9fNy4cRg6dCjmzp2Ldu3awcvLCwCwaNEidO7cGVZWVnB2dsaIESPU26hUKiQkJKBjx46wtraGUqnEunXrGpxvREQEZs2ahZCQEP1fLNVLl+MAANavXw8fHx9YWlrCw8MDKSkp6nXBwcE4ffo0oqOjIZPJGn3z2bVrF27cuIH4+HhcvXoVe/fu1Vj/3XffoW/fvrCzs4O9vT26deuGgoICAMDp06cxePBgODo6wsbGBj4+PsjOzgZQ909llixZAjc3N7Ro0QLDhg1DamoqWrZsqV5fe4x/+eWX8PDwgIODA0aPHo1r166p2+hyvGZnZ0Mul8Pa2hp9+/bFqVOnGtwHRA+DeWVeSRqYVWaVpIFZZVZJGphVZpWkgVllVqXCYMV1U1NTzJs3DwsXLsSZM2ceqa/t27ejrKwM27ZtQ1ZWFgoKCjBx4kTEx8ejrKwMW7duRVBQkLp9QkICVq5cicWLF+Po0aOIjo5GeHg4du3a9agvi/Sky3FQWFiIkSNHYvTo0SguLkZcXBxmzpyJ5cuXA7h3yZ727dsjPj4elZWVqKysbHDM9PR0hIWFwdzcHGFhYUhPT9dYP2bMGLRv3x4HDx5EYWEhpk+fDnNzcwDA22+/jVu3bmH37t0oLi5GUlISbG1t6xwnLy8PUVFReOedd1BUVITQ0FDMnTtXq92JEyewadMmZGVlISsrC7t27dL4KVNjx+tPP/2EV155BYMHD0ZRUREiIyMxffr0BvcB0cNgXplXkgZmlVklaWBWmVWSBmaVWSVpYFaZVckQOigsLBQARGFhYZ3rx44dK4YMGSKEEOLZZ58Vb7zxhhBCiI0bN4rfDxEbGyuUSqXGth999JFwd3fX6MvZ2VncunVLvWz9+vXC3t5eXL16VWvsmzdvihYtWoi9e/dqLP/rX/8qwsLCGn1t5eXlAoA4fPhwg+0yMjIa3Aek+3Hw6quvitDQUI1tY2JihLe3t/q5u7u7+Oijjxod88qVK8La2loUFRUJIYQ4fPiwsLW1FdeuXVO3sbOzE8uXL69ze19fXxEXF1fnuh07dggAoqqqSgghxKhRo8SgQYM02owZM0Y4ODion8fGxooWLVpoHKsxMTGiZ8+eQgjdjtcZM2Zo7AshhHj33Xc15kL1Y1Z1w7wyr82NWdUNs8qsNjdmVTfMKrPa3JhV3TCrzKoxYF4bx6wyq8agsXp4LYN9c71WUlISVqxYgdLS0ofuw9fXFxYWFurnoaGhcHd3h6enJyIiIrBq1SpUV1cDAH788UdUV1cjNDQUtra26sfKlStx4sSJR3499HAaOg5KS0sRGBiosSwwMBDHjx9HTU2NXuNkZmaiU6dOUCqVAAA/Pz+4u7tjzZo16jaTJ09GZGQkQkJCkJiYqHFcTJw4EXPmzEFgYCBiY2Nx5MiRescqKytDQECAxrIHnwP3bpZhZ2enfu7q6ooLFy4A0O14LS0tRc+ePTX67NWrl667hEhvzCvzStLArDKrJA3MKrNK0sCsMqskDcwqs2rsDF5cDwoKQv/+/TFjxgztwUxMIITQWHbnzh2tdjY2NhrP7ezscOjQIWRmZsLV1RWzZs2CUqnE5cuXcf36dQDAli1bUFRUpH6UlJQ0et11ajoNHQeGlJ6ejqNHj8LMzEz9KCkp0bjxRFxcHI4ePYpBgwYhNzcX3t7e2LhxIwAgMjISJ0+eREREBIqLi9G9e3csXLjwkeZU+5OgWjKZDCqVCgB4vJJRYl7vY17JmDGr9zGrZMyY1fuYVTJmzOp9zCoZM2b1PmbVOJk1RaeJiYnw8/NT34y0lpOTE86dOwchhPomAkVFRTr1aWZmhpCQEISEhCA2NhYtW7ZEbm4uQkNDYWlpiYqKCvTp08fQL4UeQX3HgUKhQF5ensayvLw8yOVymJqaArh3J+XG/spYXFyMgoIC7Ny5E61atVIv//XXXxEcHIxjx46hS5cuAAC5XA65XI7o6GiEhYVh2bJlGDZsGADAzc0NUVFRiIqKwowZM7BkyRJMmDBBazwvLy8cPHhQY9mDzxvj7e3d6PGqUCiwefNmjWX79u3TaxwifTGv2phXMkbMqjZmlYwRs6qNWSVjxKxqY1bJGDGr2phV49EkxXVfX1+MGTMGCxYs0FgeHByMixcvIjk5GSNGjMDWrVuRk5MDe3v7BvvLysrCyZMnERQUBEdHR2RnZ0OlUsHLywt2dnaYOnUqoqOjoVKp8Pzzz+PKlSvIy8uDvb09xo4dW2efv/76KyoqKvDzzz8DuPeTDABwcXGBi4uLAfYC1XccTJkyBT169MDs2bMxatQo5Ofn45NPPsGiRYvUbTw8PLB7926MHj0alpaWaNOmjVb/6enpCAgI0Li5ba0ePXogPT0d8fHxiImJwYgRI9CxY0ecOXMGBw8exPDhwwEAkyZNwsCBAyGXy1FVVYUdO3ZAoVDU+XomTJiAoKAgpKamYvDgwcjNzUVOTk6jd5v+PV2O16ioKKSkpCAmJgaRkZEoLCxU34yDqKkwr9qYVzJGzKo2ZpWMEbOqjVklY8SsamNWyRgxq9qYVSNiiAu4//5GA7XKy8uFhYWFeHCIzz77TLi5uQkbGxvx2muviblz52rd0PTBvvbs2SP69OkjHB0dhbW1tejatatYs2aNer1KpRJpaWnCy8tLmJubCycnJ9G/f3+xa9euel/TsmXLBACtR2xsbJ3tecOJxulzHKxbt054e3sLc3Nz0aFDBzF//nyN9fn5+aJr167C0tJSa1shhLh165Zo3bq1SE5OrnMuSUlJom3btuLmzZti9OjRws3NTVhYWIh27dqJf/zjH+LGjRtCCCH+8Y9/iE6dOglLS0vh5OQkIiIixKVLl4QQ2jecEEKIL774Qjz11FPC2tpaDB06VMyZM0e4uLio1+ty015djtevv/5aPP3008LS0lL07t1bLF26lDec0BGzqhvmlXltbsyqbphVZrW5Mau6YVaZ1ebGrOqGWWVWjQHz2jhmlVk1Brre0FQmxAMXQa/DoUOH0K1bNxQWFsLf3//RqvkStWrVKoSHhz/R+4C0jR8/HseOHcOePXuaeyr0/5hVqg/zalyYVaoPs2pcmFWqD7NqXJhVqg+zanyYV6oLs2p8dK2HN8llYYgeVx9++CFCQ0NhY2ODnJwcrFixQuPnRkRkPJhXImlgVomkgVklkgZmlUgamNXHB4vrRHo4cOAAkpOTce3aNXh6emLBggWIjIxs7mkRUR2YVyJpYFaJpIFZJZIGZpVIGpjVxweL60R6WLt2bXNPgYh0xLwSSQOzSiQNzCqRNDCrRNLArD4+TJp7AkREREREREREREREUsPiOhERERERERERERGRnlhcJyIiIiIiIiIiIiLSE4vrRERERERERERERER60uuGptnZ2SgtLW2quRi1vLw8AE/2PiCSAmaVSBqYVSJpYFaJpIFZJZIO5pVIGsrLy3VqJxNCiMYa5efno3fv3qipqXnkiUmZzEQGoWp0dxFRM2NWiaTBxMQEKpWquadBRI1gVomkgVklkg7mlUgaTE1NsWfPHvTq1aveNjp9c93S0hI1NTXIyMiAQqEw2ASlJDs7GzNnzkT45+Fwljs393SIqB4l35QgZ24Os0pk5Gqz+iSfWxBJQe05MLNKZNyYVSLpYF6JpKG0tBTh4eGwtLRssJ1el4VRKBTw9/d/pIlJVe1PdZzlznBTujXzbIioPud/OA+AWSUydrVZfZLPLYikoPYcmFklMm7MKpF0MK9Ejxfe0JSIiIiIiIiIiIiISE8srhMRERERERERERER6YnFdXrsTWo1CUe2HGnuaQAwrrkQGRtjyocxzYXocbJz507IZDJcvny5uadiVHMhMjbGlA9jmguRsTGmfBjTXIiMjTHlw5jm8rgwSHF93LhxkMlkSExM1Fi+adMmyGQyQwxhUHfu3MG7774LX19f2NjYoF27dnjttdfw888/N/fUnnjlB8oR3SYaX4z6wmB9xpfGwzvE22D9ERGzSvRHMeQ5loeHB9LS0nRun5CQAFNTU8yfP1+vcRry3HPPobKyEg4ODgbrk8gYMKtE0sCsEkkDs0pSYrBvrltZWSEpKQlVVVWG6hIAcPv2bYP2BwDV1dU4dOgQZs6ciUOHDmHDhg0oKyvDyy+/bPCxSD/7M/aj9/jeOJF/AlcqrxikT3tne5hZ6nXvXiJqBLNK9MdpqnOsxixduhTTpk3D0qVLDdanhYUFXFxcjPLLF0SPilklkgZmlUgamFWSCoMV10NCQuDi4oKEhIR628TFxcHPz09jWVpaGjw8PNTPx40bh6FDh2Lu3Llo164dvLy8AACLFi1C586dYWVlBWdnZ4wYMUK9jUqlQkJCAjp27Ahra2solUqsW7eu3nk4ODhg27ZtGDlyJLy8vPDss8/ik08+QWFhISoqKh5uB9Aju3X9Fg5vOozANwLhHeqNA5kH1OuqL1fjyze/xPud30dMuxjM6T4H+1ftBwDcvX0X66atwyzFLEx1nYoPun6AbR9tU2/74OUdyveXIzkoGVNdpyLlhRQc2XIEk1pNwpniMwCA498ex6RWk/DDrh+Q8kIKYp6KQVr/NJw/fl5jvsXZxfgw+ENMdZ2K2c/Mxtakrai5W6Nef/HERSwYtABTXaci4dkElO0oa5L9RvRHY1aJ/li6nGMBwPr16+Hj4wNLS0t4eHggJSVFvS44OBinT59GdHQ0ZDJZoyf2u3btwo0bNxAfH4+rV69i7969Guu/++479O3bF3Z2drC3t0e3bt1QUFAAADh9+jQGDx4MR0dH2NjYwMfHB9nZ2QDq/hnqkiVL4ObmhhYtWmDYsGFITU1Fy5Yt1etrzx+//PJLeHh4wMHBAaNHj8a1a9fUbXQ5F8zOzoZcLoe1tTX69u2LU6dONbgPiPTFrDKrJA3MKrNK0sCsMqtSYbCvCJqammLevHl49dVXMXHiRLRv3/6h+9q+fTvs7e2xbdu9oktBQQEmTpyIL7/8Es899xx+/fVX7NmzR90+ISEBGRkZWLx4MTp37ozdu3cjPDwcTk5O6NOnj05jXrlyBTKZTONApj/W4U2H0bZzWzh3dkb3kd2x8b2NCIkOgUwmQ/a8bJwrO4e31r4Fm9Y2uHTyEu7cvAMA2P35bnyf8z3GLh0Lx/aOuHz2MqrO1v2XzZtXb2LJq0vgHeqN1754Db/+9Cs2vr+xzrZb5mzBkNlDYNvaFmunrMXqCavxztZ3AAAn8k9g1d9W4ZXEV+DZyxO/lP+CNdFrAAAD3h0AlUqFpa8thV1bO0Rvi8bNqzex8b26xyGSGmaV6I+lyzlWYWEhRo4cibi4OIwaNQp79+7F3//+d7Ru3Rrjxo3Dhg0boFQq8eabb2L8+PGNjpmeno6wsDCYm5sjLCwM6enpeO6559Trx4wZg2eeeQafffYZTE1NUVRUBHNzcwDA22+/jdu3b2P37t2wsbFBSUkJbG1t6xwnLy8PUVFRSEpKwssvv4xvvvkGM2fO1Gp34sQJbNq0CVlZWaiqqsLIkSORmJiIuXPnAmj8XPCnn37CK6+8grfffhtvvvkmCgoKMGXKFJ32P5GumFVmlaSBWWVWSRqYVWZVKgz6+/thw4bBz88PsbGxSE9Pf+h+bGxs8K9//QsWFhYAgA0bNsDGxgYvvfQS7Ozs4O7ujmeeeQYAcOvWLcybNw/ffPMNevXqBQDw9PTEt99+i88//1yn4vrNmzfx7rvvIiwsDPb29g89b3o0+zP2o/tfugMAuvTrghtXb+DHvB/R+fnOqDpThad8n0KHZzoAAFp3aK3erupsFZw6OcHzWU/IZDK0cmtV7xiF6wshk8kwKm0UzK3M4dLFBVcqr2DNpDVabQf9cxCeDnwaABAyKQRfjPoCd27egbmVOf6b/F/0m9QPAWEBAIA2Hm3w5/f+jM1xmzHg3QH4YecPOH/8PKLWRcHB1UHd3+cjPzfMziJqRswq0R+vsXOs1NRU9OvXT31SLpfLUVJSgvnz52PcuHFo1aoVTE1NYWdnBxcXlwbHunr1KtatW4f8/HwAQHh4OHr37o2PP/5Y/Q+EiooKxMTEoEuXLgCAzp07q7evqKjA8OHD4evrC+DeeVl9Fi5ciIEDB2Lq1Knqee/duxdZWVka7VQqFZYvXw47OzsAQEREBLZv3465c+fqdC742WefoVOnTupvMnl5eaG4uBhJSUkN7gsifTGrzCpJA7PKrJI0MKvMqhQY7LIwtZKSkrBixQqUlpY+dB++vr7qwjoAhIaGwt3dHZ6enoiIiMCqVatQXV0NAPjxxx9RXV2N0NBQ2Nraqh8rV67EiRMnGh3rzp07GDlyJIQQ+Oyzzx56zvRozh8/j9OHTsN/uD8AwNTMFM8Mewb7M+5dTiLw9UAc3ngYyUHJ2By7GeX7y9XbBoQF4GzxWcwLmIf109fjWO6xese5cPwC2vm0g7mVuXqZezf3Otu282mn/m9753t/dLl+6ToA4Oz3Z/G/+f/DNLdp6seaSWtw9dxV3K6+jfM/nIfjU47qYh0AeAR46LlXiIwPs0rUfBo6xyotLUVgYKDGssDAQBw/fhw1NTVa7RuSmZmJTp06QalUAgD8/Pzg7u6ONWvu/3Fr8uTJiIyMREhICBITEzXOuSZOnIg5c+YgMDAQsbGxOHLkiNYYtcrKyhAQEKCx7MHnwL0bUdX+owIAXF1dceHCBQC6nQuWlpaiZ8+eGn3W/iOEyNCYVWaVpIFZZVZJGphVZtXYGby4HhQUhP79+2PGjBnag5mYQAihsezOnTta7WxsbDSe29nZ4dChQ8jMzISrqytmzZoFpVKJy5cv4/r1ewWULVu2oKioSP0oKSlp8LrrtWOPHDkSp0+fxrZt2/it9Wa0P2M/VHdViPWOxWSnyZjsNBl5S/Pw3dff4cbVG/AO9Ubsd7EI/lswrpy7gkXDFuE/M/8DAHBTumHW4VkYOGMg7ty4g+VvLMeyscseeU4m5r+Lx/9flkulUgEAbv92GwOmD0DMrhj1Y9q30/B+wfsws+INGenxxawSNZ+GzrEMKT09HUePHoWZmZn6UVJSonFTp7i4OBw9ehSDBg1Cbm4uvL29sXHjvUsqRUZG4uTJk4iIiEBxcTG6d++OhQsXPtKcan9uW0smk6lz/ijngkRNgVm9j1klY8as3seskjFjVu9jVo1Tk1QWEhMT4efnp74ZaS0nJyecO3cOQgj1TQSKiop06tPMzAwhISEICQlBbGwsWrZsidzcXISGhsLS0hIVFRU6X18duF9YP378OHbs2IHWrVs3vhE1iZq7NTi45iCGzB6CLn27aKxLj0jHofWHEPh6IGzb2CIgLAABYQHI65WHzbM2Y8jsIQAAK3sr+L/iD/9X/KF8WYnP//I5fqv6DTaOmn+oadu5LQr+XYC7t+7CzPLe4V9xSP+b2Lbv2h4Xjl+Ak6dTneud5c6oOluFK+euwMHl3jdiTx08pfc4RMaEWSVqfvWdYykUCuTl5Wksy8vLg1wuh6mpKQDAwsKi0W/wFBcXo6CgADt37kSrVvcv3fTrr78iODgYx44dU/8MVi6XQy6XIzo6GmFhYVi2bBmGDRsGAHBzc0NUVBSioqIwY8YMLFmyBBMmTNAaz8vLCwcPHtRY9uDzxnh7ezd6LqhQKLB582aNZfv27dNrHCJ9MKvamFUyRsyqNmaVjBGzqo1ZNR5NUlz39fXFmDFjsGDBAo3lwcHBuHjxIpKTkzFixAhs3boVOTk5jX5jPCsrCydPnkRQUBAcHR2RnZ0NlUoFLy8v2NnZYerUqYiOjoZKpcLzzz+PK1euIC8vD/b29hg7dqxWf3fu3MGIESNw6NAhZGVloaamBufOnQMAtGrVSuOSNNT0jv73KKovV+PZiGdhbW+tsa7r4K7Yl7EPVyqvwM3PDS5dXHD31l2U/LcEznJnAMCOT3fA3sUe7X3bQ2Yiw3f/+Q72zvawdrDWGqvb8G7YMmcL1kSvQb93+qHqTBVyP8kFgEbvGv17L8a8iCVhS+DY3hHKl5WQmcjw8/c/o/JYJQa9PwjyYDnadmqLr/7+FV6Ofxk3r91E9tzsR9hLRM2PWSVqfvWdY02ZMgU9evTA7NmzMWrUKOTn5+OTTz7BokWL1G08PDywe/dujB49GpaWlmjTpo1W/+np6QgICEBQUJDWuh49eiA9PR3x8fGIiYnBiBEj0LFjR5w5cwYHDx7E8OHDAQCTJk3CwIEDIZfLUVVVhR07dkChUNT5eiZMmICgoCCkpqZi8ODByM3NRU5Ojl451+VcMCoqCikpKYiJiUFkZCQKCwuxfPlynccg0hezqo1ZJWPErGpjVskYMavamFXjYfDLwtSKj49X/1ShlkKhwKJFi/Dpp59CqVTiwIED6ov3N6Rly5bYsGEDXnjhBSgUCixevBiZmZnw8fEBAMyePRszZ85EQkICFAoFBgwYgC1btqBjx4519nf27Fls3rwZZ86cgZ+fH1xdXdWPvXv3PvqLJ73sz9gPrz5eWsU6AFAOVuKnwz/BxMwEWfFZSO6djIUvLYTMVIax6ff+cGJla4XcBblI6ZeC1H6p+PWnX/HmmjdhYqJ9eFvZW2H8V+Nxtvgs5veZj+y52eg/rT8AqL8dqwtFPwXGZ45H2Y4ypIakIu3FNOz8bCdatb/3F04TExO88eUbuHPzDlJDUrH6ndX48/t/fpjdQ2Q0mFUi41DXOZa/vz/Wrl2L1atX409/+hNmzZqF+Ph4jBs3TmO7U6dOoVOnTnBy0v41x+3bt5GRkaH+B8KDhg8fjpUrV8LExAS//PILXnvtNcjlcowcORIDBw7EBx98AACoqanB22+/rT4nk8vlGv/A+b3AwEAsXrwYqampUCqV2Lp1K6Kjo2FlZaXXPmnsXLBDhw5Yv349Nm3aBKVSicWLF2PevHl6jUGkL2ZVG7NKxohZ1caskjFiVrUxq8ZBJh68CHodDh06hG7duqGwsBD+/v5/xLyMzqpVqxAeHo4pO6bATenW3NMhAyr4dwEy/5GJhFMJsLDmrxakruDfBch4K4NZfQwxq4+X2qw+yecWVLfx48fj2LFj2LNnT3NPhXD/HJhZpQcxq8aFWaX6MKvGh3mlujCrxkfXejjv5kZPnAOrD6CNRxs4uDrg7Pdn8XXc1/Ab6sdiHZGRYVaJngwffvghQkNDYWNjg5ycHKxYsaLeb/kQUfNhVomkgVklkgZm9fHB4jo9ca5duIachBxcu3AN9s728Bvih0H/HNTc0yKiBzCrRE+GAwcOIDk5GdeuXYOnpycWLFiAyMjI5p4WET2AWSWSBmaVSBqY1ccHi+v0xOk3sR/6TezX3NMgokYwq0RPhrVr1zb3FIhIB8wqkTQwq0TSwKw+PprshqZERERERERERERERI8rFteJiIiIiIiIiIiIiPTE4joRERERERERERERkZ5YXCciIiIiIiIiIiIi0pNeNzTNzs5GaWlpU83FqOXl5QEASr4pwfkfzjfzbIioPif3nwTArBIZu9qsPsnnFkRSUHsOzKwSGTdmlUg6mFciaSgvL9epnUwIIRprlJ+fj969e6OmpuaRJyZlJiYmUKlUzT0NImoEs0okDcwqkTQwq0TSwKwSSQfzSiQNpqam2LNnD3r16lVvG52+uW5paYmamhpkZGRAoVAYbIJSkp2djZkzZz7R+4BICphVImlgVomkgVklkgZmlUg6mFciaSgtLUV4eDgsLS0bbKfXZWEUCgX8/f0faWJSVftTnSd5HxBJAbNKJA3MKpE0MKtE0sCsEkkH80r0eOENTYmIiIiIiIiIiIiI9MTiOhERERERERERERGRnlhcJyIiIiIiIiIiIiLSE4vrRPXYuXMnZDIZLl++3NxTMaq5EBkjY8qIMc2FyNgYUz6MaS5ExsaY8mFMcyEyNsaUD2OaC5GxMaZ8GNNcHhcGKa6PGzcOMpkMiYmJGss3bdoEmUxmiCEMLi4uDl26dIGNjQ0cHR0REhKC/fv3N/e0JM2Qx4GHhwfS0tJ0bp+QkABTU1PMnz9fr3Ea8txzz6GyshIODg4G65PIWDCvRNLArBJJA7NKJA3MKpE0MKskJQb75rqVlRWSkpJQVVVlqC4BALdv3zZof7Xkcjk++eQTFBcX49tvv4WHhwdefPFFXLx4sUnGe1I01XHQmKVLl2LatGlYunSpwfq0sLCAi4uL0f6BiOhRMa9E0sCsEkkDs0okDcwqkTQwqyQVBiuuh4SEwMXFBQkJCfW2iYuLg5+fn8aytLQ0eHh4qJ+PGzcOQ4cOxdy5c9GuXTt4eXkBABYtWoTOnTvDysoKzs7OGDFihHoblUqFhIQEdOzYEdbW1lAqlVi3bl2D83311VcREhICT09P+Pj4IDU1FVevXsWRI0f0f/GkpstxAADr16+Hj48PLC0t4eHhgZSUFPW64OBgnD59GtHR0ZDJZI2++ezatQs3btxAfHw8rl69ir1792qs/+6779C3b1/Y2dnB3t4e3bp1Q0FBAQDg9OnTGDx4MBwdHWFjYwMfHx9kZ2cDqPunMkuWLIGbmxtatGiBYcOGITU1FS1btlSvrz3Gv/zyS3h4eMDBwQGjR4/GtWvX1G10OV6zs7Mhl8thbW2Nvn374tSpUw3uA6KHwbwyryQNzCqzStLArDKrJA3MKrNK0sCsMquSIXRQWFgoAIjCwsI6148dO1YMGTJEbNiwQVhZWYmffvpJCCHExo0bxe+HiI2NFUqlUmPbjz76SLi7u2v0ZWtrKyIiIsT3338vvv/+e3Hw4EFhamoqvvrqK3Hq1Clx6NAh8fHHH6u3mTNnjujSpYvYunWrOHHihFi2bJmwtLQUO3fu1OXliVu3bon58+cLBwcHcfHixTrbZGRkNLgPSPfjoKCgQJiYmIj4+HhRVlYmli1bJqytrcWyZcuEEEL88ssvon379iI+Pl5UVlaKysrKBseNiIgQU6dOFUIIMWXKFPHGG29orPfx8RHh4eGitLRU/PDDD2Lt2rWiqKhICCHEoEGDRGhoqDhy5Ig4ceKE+Prrr8WuXbuEEELs2LFDABBVVVVCCCG+/fZbYWJiIubPny/KysrEp59+Klq1aiUcHBzUY8XGxgpbW1vxyiuviOLiYrF7927h4uIi3nvvPXWbxo7XiooKYWlpKSZPniyOHTsmMjIyhLOzs8ZcqH7Mqm6YV+a1uTGrumFWmdXmxqzqhlllVpsbs6obZpVZNQbMa+OYVWbVGDRWD69l0OK6EEI8++yz6oPvYYvrzs7O4tatW+pl69evF/b29uLq1ataY9+8eVO0aNFC7N27V2P5X//6VxEWFtbg6/r666+FjY2NkMlkol27duLAgQP1tuWbX+N0PQ5effVVERoaqrFtTEyM8Pb2Vj93d3cXH330UaNjXrlyRVhbW6vfzA4fPixsbW3FtWvX1G3s7OzE8uXL69ze19dXxMXF1bnuwTe/UaNGiUGDBmm0GTNmjNabX4sWLTSO1ZiYGNGzZ08hhG7H64wZMzT2hRBCvPvuu3zz0xGzqhvmlXltbsyqbphVZrW5Mau6YVaZ1ebGrOqGWWVWjQHz2jhmlVk1BroW1w12WZhaSUlJWLFiBUpLSx+6D19fX1hYWKifh4aGwt3dHZ6enoiIiMCqVatQXV0NAPjxxx9RXV2N0NBQ2Nraqh8rV67EiRMnGhynb9++KCoqwt69ezFgwACMHDkSFy5ceOh5030NHQelpaUIDAzUWBYYGIjjx4+jpqZGr3EyMzPRqVMnKJVKAICfnx/c3d2xZs0adZvJkycjMjISISEhSExM1DguJk6ciDlz5iAwMBCxsbENXhaorKwMAQEBGssefA7cu1mGnZ2d+rmrq6v6uNLleC0tLUXPnj01+uzVq5euu4RIb8wr80rSwKwyqyQNzCqzStLArDKrJA3MKrNq7AxeXA8KCkL//v0xY8YM7cFMTCCE0Fh2584drXY2NjYaz+3s7HDo0CFkZmbC1dUVs2bNglKpxOXLl3H9+nUAwJYtW1BUVKR+lJSUNHrddRsbGzz99NN49tlnkZ6eDjMzM6Snp+v7kqkODR0HhpSeno6jR4/CzMxM/SgpKdG48URcXByOHj2KQYMGITc3F97e3ti4cSMAIDIyEidPnkRERASKi4vRvXt3LFy48JHmZG5urvFcJpNBpVIBwCMdr0RNhXm9j3klY8as3seskjFjVu9jVsmYMav3MatkzJjV+5hV42TWFJ0mJibCz89PfTPSWk5OTjh37hyEEOqbCBQVFenUp5mZGUJCQhASEoLY2Fi0bNkSubm5CA0NhaWlJSoqKtCnT59HmrdKpcKtW7ceqQ+6r77jQKFQIC8vT2NZXl4e5HI5TE1NAdy7k3Jjf2UsLi5GQUEBdu7ciVatWqmX//rrrwgODsaxY8fQpUsXAIBcLodcLkd0dDTCwsKwbNkyDBs2DADg5uaGqKgoREVFYcaMGViyZAkmTJigNZ6XlxcOHjyosezB543x9vZu9HhVKBTYvHmzxrJ9+/bpNQ6RvphXbcwrGSNmVRuzSsaIWdXGrJIxYla1MatkjJhVbcyq8WiS4rqvry/GjBmDBQsWaCwPDg7GxYsXkZycjBEjRmDr1q3IycmBvb19g/1lZWXh5MmTCAoKgqOjI7Kzs6FSqeDl5QU7OztMnToV0dHRUKlUeP7553HlyhXk5eXB3t4eY8eO1ervt99+w9y5c/Hyyy/D1dUVly5dwqeffoqzZ8/iL3/5i0H3xZOsvuNgypQp6NGjB2bPno1Ro0YhPz8fn3zyCRYtWqRu4+Hhgd27d2P06NGwtLREmzZttPpPT09HQEAAgoKCtNb16NED6enpiI+PR0xMDEaMGIGOHTvizJkzOHjwIIYPHw4AmDRpEgYOHAi5XI6qqirs2LEDCoWiztczYcIEBAUFITU1FYMHD0Zubi5ycnIavdv07+lyvEZFRSElJQUxMTGIjIxEYWEhli9frvMYRA+DedXGvJIxYla1MatkjJhVbcwqGSNmVRuzSsaIWdXGrBoRQ1zA/fc3GqhVXl4uLCwsxINDfPbZZ8LNzU3Y2NiI1157TcydO1frhqYP9rVnzx7Rp08f4ejoKKytrUXXrl3FmjVr1OtVKpVIS0sTXl5ewtzcXDg5OYn+/fur78r7oBs3bohhw4aJdu3aCQsLC+Hq6ipefvll3tD0EelzHKxbt054e3sLc3Nz0aFDBzF//nyN9fn5+aJr167C0tJSa1shhLh165Zo3bq1SE5OrnMuSUlJom3btuLmzZti9OjRws3NTVhYWIh27dqJf/zjH+LGjRtCCCH+8Y9/iE6dOglLS0vh5OQkIiIixKVLl4QQ2jecEEKIL774Qjz11FPC2tpaDB06VMyZM0e4uLio1+ty015djtevv/5aPP3008LS0lL07t1bLF26lDec0BGzqhvmlXltbsyqbphVZrW5Mau6YVaZ1ebGrOqGWWVWjQHz2jhmlVk1Brre0FQmxAMXQa/DoUOH0K1bNxQWFsLf398AJX3pWbVqFcLDw5/ofUDaxo8fj2PHjmHPnj3NPRX6f8wq1Yd5NS7MKtWHWTUuzCrVh1k1Lswq1YdZNT7MK9WFWTU+utbDm+SyMESPqw8//BChoaGwsbFBTk4OVqxYofFzIyIyHswrkTQwq0TSwKwSSQOzSiQNzOrjg8V1Ij0cOHAAycnJuHbtGjw9PbFgwQJERkY297SIqA7MK5E0MKtE0sCsEkkDs0okDczq44PFdSI9rF27trmnQEQ6Yl6JpIFZJZIGZpVIGphVImlgVh8fJs09ASIiIiIiIiIiIiIiqWFxnYiIiIiIiIiIiIhITyyuExERERERERERERHpSa9rrmdnZ6O0tLSp5mLU8vLyADzZ+4BICphVImlgVomkgVklkgZmlUg6mFciaSgvL9epnUwIIRprlJ+fj969e6OmpuaRJyZlJiYmUKlUzT0NImqEzEQGoWr0rY2Imhk/V4mkgVklkgZmlUg6mFciaTA1NcWePXvQq1evetvo9M11S0tL1NTUICMjAwqFwmATlJLs7GzMnDnzid4HRFJQm9Xwz8PhLHdu7ukQUT1KvilBztwcfq4SGTmeAxNJA7NKJB3MK5E0lJaWIjw8HJaWlg220+uyMAqFAv7+/o80Mamq/anOk7wPiKSgNqvOcme4Kd2aeTZEVJ/zP5wHwM9VImPHc2AiaWBWiaSDeSV6vPCGpkREREREREREREREemJxnYiIiIiIiIiIiIhITyyuExERERERERERERHpicV1onrs3LkTMpkMly9fbu6pGNVciJrKpFaTcGTLkeaeBgDjmgvR48SYPs+MaS5ExsaY8mFMcyEyNsaUD2OaC5GxMaZ8GNNcHhcGKa6PGzcOMpkMiYmJGss3bdoEmUxmiCGaVFRUFGQyGdLS0pp7KpJmyOPAw8NDr/8fCQkJMDU1xfz58/UapyHPPfccKisr4eDgYLA+iR4X5QfKEd0mGl+M+sJgfcaXxsM7xNtg/RE9DvjZSiQNzCqRNDCrRNLArJKUGOyb61ZWVkhKSkJVVZWhugQA3L5926D9PWjjxo3Yt28f2rVr16TjPCma6jhozNKlSzFt2jQsXbrUYH1aWFjAxcVFEn8gIvqj7c/Yj97je+NE/glcqbxikD7tne1hZmlmkL6IHif8bCWSBmaVSBqYVSJpYFZJKgxWXA8JCYGLiwsSEhLqbRMXFwc/Pz+NZWlpafDw8FA/HzduHIYOHYq5c+eiXbt28PLyAgAsWrQInTt3hpWVFZydnTFixAj1NiqVCgkJCejYsSOsra2hVCqxbt26Rud89uxZTJgwAatWrYK5ubl+L5jqpMtxAADr16+Hj48PLC0t4eHhgZSUFPW64OBgnD59GtHR0ZDJZI2++ezatQs3btxAfHw8rl69ir1792qs/+6779C3b1/Y2dnB3t4e3bp1Q0FBAQDg9OnTGDx4MBwdHWFjYwMfHx9kZ2cDqPunMkuWLIGbmxtatGiBYcOGITU1FS1btlSvrz3Gv/zyS3h4eMDBwQGjR4/GtWvX1G10OV6zs7Mhl8thbW2Nvn374tSpUw3uA6I/0q3rt3B402EEvhEI71BvHMg8oF5XfbkaX775Jd7v/D5i2sVgTvc52L9qPwDg7u27WDdtHWYpZmGq61R80PUDbPtom3rbBy/FUr6/HMlByZjqOhUpL6TgyJYjmNRqEs4UnwEAHP/2OCa1moQfdv2AlBdSEPNUDNL6p+H88fMa8y3OLsaHwR9iqutUzH5mNrYmbUXN3Rr1+osnLmLBoAWY6joVCc8moGxHWZPsN6KHxc9WfraSNDCrzCpJA7PKrJI0MKvMqlQYrLhuamqKefPmYeHChThz5swj9bV9+3aUlZVh27ZtyMrKQkFBASZOnIj4+HiUlZVh69atCAoKUrdPSEjAypUrsXjxYhw9ehTR0dEIDw/Hrl276h1DpVIhIiICMTEx8PHxeaT50n26HAeFhYUYOXIkRo8ejeLiYsTFxWHmzJlYvnw5AGDDhg1o37494uPjUVlZicrKygbHTE9PR1hYGMzNzREWFob09HSN9WPGjEH79u1x8OBBFBYWYvr06eo/prz99tu4desWdu/ejeLiYiQlJcHW1rbOcfLy8hAVFYV33nkHRUVFCA0Nxdy5c7XanThxAps2bUJWVhaysrKwa9cujZ8yNXa8/vTTT3jllVcwePBgFBUVITIyEtOnT29wHxD9kQ5vOoy2ndvCubMzuo/sjv2r9kMIAQDInpeNc2Xn8NbatzB933T85cO/wKa1DQBg9+e78X3O9xi7dCzeO/AeIr6IQKsOreoc4+bVm1jy6hK0826HqTumYuCMgfj6g6/rbLtlzhYMmT0EU7ZPgYmZCVZPWK1edyL/BFb9bRWC3grC9PzpGJk6EgcyD2Bbyr2ivkqlwtLXlsLMwgzR26IxMnVkveMQNRd+tvKzlaSBWWVWSRqYVWaVpIFZZValwqC/vx82bBj8/PwQGxurdQDqw8bGBv/6179gYWEB4F4YbGxs8NJLL8HOzg7u7u545plnAAC3bt3CvHnz8M0336BXr14AAE9PT3z77bf4/PPP0adPnzrHSEpKgpmZGSZOnPjQ86S6NXYcpKamol+/fpg5cyYAQC6Xo6SkBPPnz8e4cePQqlUrmJqaws7ODi4uLg2OdfXqVaxbtw75+fkAgPDwcPTu3Rsff/yx+k2soqICMTEx6NKlCwCgc+fO6u0rKiowfPhw+Pr6Arh37NRn4cKFGDhwIKZOnaqe9969e5GVlaXRTqVSYfny5bCzswMAREREYPv27Zg7d65Ox+tnn32GTp06qf/a6uXlpX5jJjIG+zP2o/tfugMAuvTrghtXb+DHvB/R+fnOqDpThad8n0KHZzoAAFp3aK3erupsFZw6OcHzWU/IZDK0cqu7sA4AhesLIZPJMCptFMytzOHSxQVXKq9gzaQ1Wm0H/XMQng58GgAQMikEX4z6Andu3oG5lTn+m/xf9JvUDwFhAQCANh5t8Of3/ozNcZsx4N0B+GHnDzh//Dyi1kXBwdVB3d/nIz83zM4iMhB+tvKzlaSBWWVWSRqYVWaVpIFZZValwGDfXK+VlJSEFStWoLS09KH78PX1VRfWASA0NBTu7u7w9PREREQEVq1aherqagDAjz/+iOrqaoSGhsLW1lb9WLlyJU6cOFFn/4WFhfj444+xfPlyXu+oiTR0HJSWliIwMFBjWWBgII4fP46amhqt9g3JzMxEp06doFQqAQB+fn5wd3fHmjX3C3CTJ09GZGQkQkJCkJiYqHFcTJw4EXPmzEFgYCBiY2Nx5MgRrTFqlZWVISAgQGPZg8+BezfLqH3jAwBXV1dcuHABgG7Ha2lpKXr27KnRZ+0bJVFzO3/8PE4fOg3/4f4AAFMzUzwz7Bnsz7h36ZfA1wNxeONhJAclY3PsZpTvL1dvGxAWgLPFZzEvYB7WT1+PY7nH6h3nwvELaOfTDuZW9y/Z5d7Nvc627Xzu3zPD3tkeAHD90nUAwNnvz+J/8/+HaW7T1I81k9bg6rmruF19G+d/OA/HpxzVhXUA8Ajw0HOvEP0x+NnKz1aSBmaVWSVpYFaZVZIGZpVZNXYGL64HBQWhf//+mDFjhvZgJibqSwfUunPnjlY7Gxsbjed2dnY4dOgQMjMz4erqilmzZkGpVOLy5cu4fv1eAWXLli0oKipSP0pKSuq97vqePXtw4cIFdOjQAWZmZjAzM8Pp06cxZcoUjeu/08Nr6DgwpPT0dBw9elT9/9HMzAwlJSUaN56Ii4vD0aNHMWjQIOTm5sLb2xsbN24EAERGRuLkyZOIiIhAcXExunfvjoULFz7SnB68fr9MJoNKpQKAhzpeiYzJ/oz9UN1VIdY7FpOdJmOy02TkLc3Dd19/hxtXb8A71Bux38Ui+G/BuHLuChYNW4T/zPwPAMBN6YZZh2dh4IyBuHPjDpa/sRzLxi575DmZmP/uo+z//15am7nbv93GgOkDELMrRv2Y9u00vF/wPsysePNUkhZ+tt7Hz1YyZszqfcwqGTNm9T5mlYwZs3ofs2qcmqSykJiYCD8/P/XNSGs5OTnh3LlzEEKovzFeVFSkU59mZmYICQlBSEgIYmNj0bJlS+Tm5iI0NBSWlpaoqKio9xIwD4qIiEBISIjGsv79+yMiIgKvv/66Tn1Q4+o7DhQKBfLy8jSW5eXlQS6Xw9TUFMC9Oyk39lfG4uJiFBQUYOfOnWjV6v7lJX799VcEBwfj2LFj6p/qyOVyyOVyREdHIywsDMuWLcOwYcMAAG5uboiKikJUVBRmzJiBJUuWYMKECVrjeXl54eDBgxrLHnzeGG9v70aPV4VCgc2bN2ss27dvn17jEDWFmrs1OLjmIIbMHoIufbtorEuPSMeh9YcQ+HogbNvYIiAsAAFhAcjrlYfNszZjyOwhAAAreyv4v+IP/1f8oXxZic//8jl+q/oNNo6af1Rt27ktCv5dgLu37sLM8t5HVcWhCr3n3L5re1w4fgFOnk51rneWO6PqbBWunLsCB5d7314/dfCU3uMQ/VH42aqNn61kjJhVbcwqGSNmVRuzSsaIWdXGrBqPJimu+/r6YsyYMViwYIHG8uDgYFy8eBHJyckYMWIEtm7dipycHNjb2zfYX1ZWFk6ePImgoCA4OjoiOzsbKpUKXl5esLOzw9SpUxEdHQ2VSoXnn38eV65cQV5eHuzt7TF27Fit/lq3bo3WrVtrLDM3N4eLi4tWUOnh1XccTJkyBT169MDs2bMxatQo5Ofn45NPPsGiRYvUbTw8PLB7926MHj0alpaWaNOmjVb/6enpCAgI0Li5ba0ePXogPT0d8fHxiImJwYgRI9CxY0ecOXMGBw8exPDhwwEAkyZNwsCBAyGXy1FVVYUdO3ZAoVDU+XomTJiAoKAgpKamYvDgwcjNzUVOTo5elxbS5XiNiopCSkoKYmJiEBkZicLCQvXNOIia09H/HkX15Wo8G/EsrO2tNdZ1HdwV+zL24UrlFbj5ucGliwvu3rqLkv+WwFnuDADY8ekO2LvYo71ve8hMZPjuP9/B3tke1g7WWmN1G94NW+ZswZroNej3Tj9UnalC7ie5AKBX5l6MeRFLwpbAsb0jlC8rITOR4efvf0blsUoMen8Q5MFytO3UFl/9/Su8HP8ybl67iey52Y+wl4iaFj9btfGzlYwRs6qNWSVjxKxqY1bJGDGr2phV42Hwy8LUio+PV/9UoZZCocCiRYvw6aefQqlU4sCBA+qL9zekZcuW2LBhA1544QUoFAosXrwYmZmZ8PHxAQDMnj0bM2fOREJCAhQKBQYMGIAtW7agY8eOTfLaSHd1HQf+/v5Yu3YtVq9ejT/96U+YNWsW4uPjMW7cOI3tTp06hU6dOsHJSfsbp7dv30ZGRob6TexBw4cPx8qVK2FiYoJffvkFr732GuRyOUaOHImBAwfigw8+AADU1NTg7bffVh83crlc40349wIDA7F48WKkpqZCqVRi69atiI6OhpWVlV77pLHjtUOHDli/fj02bdoEpVKJxYsXY968eXqNQdQU9mfsh1cfL63COgAoByvx0+GfYGJmgqz4LCT3TsbClxZCZirD2PR7f+S0srVC7oJcpPRLQWq/VPz60694c82bMDHR/iiysrfC+K/G42zxWczvMx/Zc7PRf1p/AFB/k10Xin4KjM8cj7IdZUgNSUXai2nY+dlOtGp/79sIJiYmeOPLN3Dn5h2khqRi9Tur8ef3//wwu4foD8PPVm38bCVjxKxqY1bJGDGr2phVMkbMqjZm1TjIxIMXQa/DoUOH0K1bNxQWFsLf3/+PmJfRWbVqFcLDw5/ofUDaxo8fj2PHjmHPnj3NPRX6f7VZnbJjCtyUbs09HTKggn8XIPMfmUg4lQALa4vGNyCjVvDvAmS8lcHPVdLCz1bjwnNgqg+zalyYVaoPs2p8mFeqC7NqfHSth/NubkR6+PDDDxEaGgobGxvk5ORgxYoV9f4lkogezYHVB9DGow0cXB1w9vuz+Drua/gN9WNhnegxw89WImlgVomkgVklkgZm9fHB4jqRHg4cOIDk5GRcu3YNnp6eWLBgASIjI5t7WkSPpWsXriEnIQfXLlyDvbM9/Ib4YdA/BzX3tIjIwPjZSiQNzCqRNDCrRNLArD4+WFwn0sPatWubewpET4x+E/uh38R+zT0NImpi/GwlkgZmlUgamFUiaWBWHx9NdkNTIiIiIiIiIiIiIqLHFYvrRERERERERERERER6YnGdiIiIiIiIiIiIiEhPLK4TEREREREREREREelJrxuaZmdno7S0tKnmYtTy8vIAPNn7gEgKarNa8k0Jzv9wvplnQ0T1Obn/JAB+rhIZO54DE0kDs0okHcwrkTSUl5fr1E4mhBCNNcrPz0fv3r1RU1PzyBOTMpmJDELV6O4iomZmYmIClUrV3NMgokYwq0TSwKwSSQOzSiQdzCuRNJiammLPnj3o1atXvW10+ua6paUlampqkJGRAYVCYbAJSkl2djZmzpyJ8M/D4Sx3bu7pEFE9Sr4pQc7cnCf6/YpICmo/V5lVIuPGrBJJA7NKJB3MK5E0lJaWIjw8HJaWlg220+uyMAqFAv7+/o80Mamq/amOs9wZbkq3Zp4NEdWn9lIwT/L7FZEU1H6uMqtExo1ZJZIGZpVIOphXoscLb2hKRERERERERERERKQnFteJiIiIiIiIiIiIiPTE4joRERERERERERERkZ5YXKfH3qRWk3Bky5HmngYA45oL0eNk586dkMlkuHz5cnNPxajmQmRsjCkfxjQXImNjTPkwprkQGRtjyocxzYXI2BhTPoxpLo8LgxTXx40bB5lMhsTERI3lmzZtgkwmM8QQBlc7598/BgwY0NzTeuKVHyhHdJtofDHqC4P1GV8aD+8Qb4P1R/Q4MOT7toeHB9LS0nRun5CQAFNTU8yfP1+vcRry3HPPobKyEg4ODgbrk8gYMKtE0sCsEkkDs0okDcwqSYnBvrluZWWFpKQkVFVVGapLAMDt27cN2t/vDRgwAJWVlepHZmZmk41FutmfsR+9x/fGifwTuFJ5xSB92jvbw8zSzCB9ET1Omup9uzFLly7FtGnTsHTpUoP1aWFhARcXF6P9gy7Ro2BWiaSBWSWSBmaVSBqYVZIKgxXXQ0JC4OLigoSEhHrbxMXFwc/PT2NZWloaPDw81M/HjRuHoUOHYu7cuWjXrh28vLwAAIsWLULnzp1hZWUFZ2dnjBgxQr2NSqVCQkICOnbsCGtrayiVSqxbt67ROVtaWsLFxUX9cHR01O9Fk0Hdun4LhzcdRuAbgfAO9caBzAPqddWXq/Hlm1/i/c7vI6ZdDOZ0n4P9q/YDAO7evot109ZhlmIWprpOxQddP8C2j7apt33wUizl+8uRHJSMqa5TkfJCCo5sOYJJrSbhTPEZAMDxb49jUqtJ+GHXD0h5IQUxT8UgrX8azh8/rzHf4uxifBj8Iaa6TsXsZ2Zja9JW1NytUa+/eOIiFgxagKmuU5HwbALKdpQ1yX4jeli6vG8DwPr16+Hj4wNLS0t4eHggJSVFvS44OBinT59GdHS0+ldADdm1axdu3LiB+Ph4XL16FXv37tVY/91336Fv376ws7ODvb09unXrhoKCAgDA6dOnMXjwYDg6OsLGxgY+Pj7Izs4GUPdP25YsWQI3Nze0aNECw4YNQ2pqKlq2bKleX/uZ9OWXX8LDwwMODg4YPXo0rl27pm6jy+dLdnY25HI5rK2t0bdvX5w6darBfUCkL2aVWSVpYFaZVZIGZpVZJWlgVplVqTBYcd3U1BTz5s3DwoULcebMmUfqa/v27SgrK8O2bduQlZWFgoICTJw4EfHx8SgrK8PWrVsRFBSkbp+QkICVK1di8eLFOHr0KKKjoxEeHo5du3Y1OM7OnTvRtm1beHl54W9/+xt++eWXR5o3PZrDmw6jbee2cO7sjO4ju2P/qv0QQgAAsudl41zZOby19i1M3zcdf/nwL7BpbQMA2P35bnyf8z3GLh2L9w68h4gvItCqQ6s6x7h59SaWvLoE7bzbYeqOqRg4YyC+/uDrOttumbMFQ2YPwZTtU2BiZoLVE1ar153IP4FVf1uFoLeCMD1/OkamjsSBzAPYlnKvqK9SqbD0taUwszBD9LZojEwdWe84RM1Fl/ftwsJCjBw5EqNHj0ZxcTHi4uIwc+ZMLF++HACwYcMGtG/fHvHx8epfATUkPT0dYWFhMDc3R1hYGNLT0zXWjxkzBu3bt8fBgwdRWFiI6dOnw9zcHADw9ttv49atW9i9ezeKi4uRlJQEW1vbOsfJy8tDVFQU3nnnHRQVFSE0NBRz587VanfixAls2rQJWVlZyMrKwq5duzR+etjY58tPP/2EV155BYMHD0ZRUREiIyMxffr0BvcBkb6YVWaVpIFZZVZJGphVZpWkgVllVqXCoNfKGDZsGPz8/BAbG6t1AOrDxsYG//rXv2BhYQHgXhhsbGzw0ksvwc7ODu7u7njmmWcAALdu3cK8efPwzTffoFevXgAAT09PfPvtt/j888/Rp0+fOscYMGAAXnnlFXTs2BEnTpzAe++9h4EDByI/Px+mpqYPPXd6ePsz9qP7X7oDALr064IbV2/gx7wf0fn5zqg6U4WnfJ9Ch2c6AABad2it3q7qbBWcOjnB81lPyGQytHKru7AOAIXrCyGTyTAqbRTMrczh0sUFVyqvYM2kNVptB/1zEJ4OfBoAEDIpBF+M+gJ3bt6BuZU5/pv8X/Sb1A8BYQEAgDYebfDn9/6MzXGbMeDdAfhh5w84f/w8otZFwcHVQd3f5yM/N8zOIjKQxt63U1NT0a9fP8ycORMAIJfLUVJSgvnz52PcuHFo1aoVTE1NYWdnBxcXlwbHunr1KtatW4f8/HwAQHh4OHr37o2PP/5YfdJRUVGBmJgYdOnSBQDQuXNn9fYVFRUYPnw4fH19Adx7r6/PwoULMXDgQEydOlU977179yIrK0ujnUqlwvLly2FnZwcAiIiIwPbt2zF37lydPl8+++wzdOrUSf3tCC8vL/WJFJEhMavMKkkDs8qskjQwq8wqSQOzyqxKgcG+uV4rKSkJK1asQGlp6UP34evrqy6sA0BoaCjc3d3h6emJiIgIrFq1CtXV1QCAH3/8EdXV1QgNDYWtra36sXLlSpw4caLeMUaPHo2XX34Zvr6+GDp0KLKysnDw4EHs3LnzoedND+/88fM4feg0/If7AwBMzUzxzLBnsD/j3qVfAl8PxOGNh5EclIzNsZtRvr9cvW1AWADOFp/FvIB5WD99PY7lHqt3nAvHL6CdTzuYW5mrl7l3c6+zbTufdur/tne2BwBcv3QdAHD2+7P43/z/YZrbNPVjzaQ1uHruKm5X38b5H87D8SlHdWEdADwCPPTcK0R/jIbet0tLSxEYGKixLDAwEMePH0dNTY1W+4ZkZmaiU6dOUCqVAAA/Pz+4u7tjzZr7f9yaPHkyIiMjERISgsTERI338YkTJ2LOnDkIDAxEbGwsjhw5ojVGrbKyMgQEBGgse/A5cO/mNrUnKgDg6uqKCxcuANDt86W0tBQ9e/bU6LP2xIbI0JhVZpWkgVllVkkamFVmlaSBWWVWjZ3Bi+tBQUHo378/ZsyYoT2YiYn6Mh+17ty5o9XOxsZG47mdnR0OHTqEzMxMuLq6YtasWVAqlbh8+TKuX79X7NyyZQuKiorUj5KSEp2uu17L09MTbdq0wY8//qjzNmQ4+zP2Q3VXhVjvWEx2mozJTpORtzQP3339HW5cvQHvUG/EfheL4L8F48q5K1g0bBH+M/M/AAA3pRtmHZ6FgTMG4s6NO1j+xnIsG7vskedkYv67ePz/ZblUKhUA4PZvtzFg+gDE7IpRP6Z9Ow3vF7wPMyvePJWkpaH3bUNKT0/H0aNHYWZmpn6UlJRo3CgmLi4OR48exaBBg5Cbmwtvb29s3LgRABAZGYmTJ08iIiICxcXF6N69OxYuXPhIc6r9CV8tmUymzrmhPl+IDIVZvY9ZJWPGrN7HrJIxY1bvY1bJmDGr9zGrxqlJqoCJiYnw8/NT34y0lpOTE86dOwchhPomAkVFRTr1aWZmhpCQEISEhCA2NhYtW7ZEbm4uQkNDYWlpiYqKinovAaOLM2fO4JdffoGrq+tD90EPp+ZuDQ6uOYghs4egS98uGuvSI9JxaP0hBL4eCNs2tggIC0BAWADyeuVh86zNGDJ7CADAyt4K/q/4w/8VfyhfVuLzv3yO36p+g42j5h9q2nZui4J/F+Durbsws7x3+FccqtB7zu27tseF4xfg5OlU53pnuTOqzlbhyrkrcHC59+31UwdP6T0O0R+lvvdthUKBvLw8jWV5eXmQy+XqS2hZWFg0+q2A4uJiFBQUYOfOnWjV6v6lm3799VcEBwfj2LFj6p/WyeVyyOVyREdHIywsDMuWLcOwYcMAAG5uboiKikJUVBRmzJiBJUuWYMKECVrjeXl54eDBgxrLHnzeGG9v70Y/XxQKBTZv3qyxbN++fXqNQ6QPZlUbs0rGiFnVxqySMWJWtTGrZIyYVW3MqvFokuK6r68vxowZgwULFmgsDw4OxsWLF5GcnIwRI0Zg69atyMnJgb29fYP9ZWVl4eTJkwgKCoKjoyOys7OhUqng5eUFOzs7TJ06FdHR0VCpVHj++edx5coV5OXlwd7eHmPHjtXq7/r16/jggw8wfPhwuLi44MSJE5g2bRqefvpp9O/f36D7ghp39L9HUX25Gs9GPAtre2uNdV0Hd8W+jH24UnkFbn5ucOnigru37qLkvyVwljsDAHZ8ugP2LvZo79seMhMZvvvPd7B3toe1g7XWWN2Gd8OWOVuwJnoN+r3TD1VnqpD7SS4ANHrX6N97MeZFLAlbAsf2jlC+rITMRIafv/8ZlccqMej9QZAHy9G2U1t89fev8HL8y7h57Say52Y/wl4ialr1vW9PmTIFPXr0wOzZszFq1Cjk5+fjk08+waJFi9RtPDw8sHv3bowePRqWlpZo06aNVv/p6ekICAjQuBl1rR49eiA9PR3x8fGIiYnBiBEj0LFjR5w5cwYHDx7E8OHDAQCTJk3CwIEDIZfLUVVVhR07dkChUNT5eiZMmICgoCCkpqZi8ODByM3NRU5Ojl451+XzJSoqCikpKYiJiUFkZCQKCwvVN88hagrMqjZmlYwRs6qNWSVjxKxqY1bJGDGr2phV42Hwy8LUio+PV/9UoZZCocCiRYvw6aefQqlU4sCBA+qL9zekZcuW2LBhA1544QUoFAosXrwYmZmZ8PHxAQDMnj0bM2fOREJCAhQKBQYMGIAtW7agY8eOdfZnamqKI0eO4OWXX4ZcLsdf//pXdOvWDXv27IGlpeWjv3jSy/6M/fDq46VVWAcA5WAlfjr8E0zMTJAVn4Xk3slY+NJCyExlGJt+7w8nVrZWyF2Qi5R+KUjtl4pff/oVb655EyYm2oe3lb0Vxn81HmeLz2J+n/nInpuN/tPu/UGl9pvsulD0U2B85niU7ShDakgq0l5Mw87PdqJV+3t/4TQxMcEbX76BOzfvIDUkFavfWY0/v//nh9k9RH+Yut63/f39sXbtWqxevRp/+tOfMGvWLMTHx2PcuHEa2506dQqdOnWCk5P2rzlu376NjIwM9UnHg4YPH46VK1fCxMQEv/zyC1577TXI5XKMHDkSAwcOxAcffAAAqKmpwdtvv61+n5fL5RonTb8XGBiIxYsXIzU1FUqlElu3bkV0dDSsrKz02ieNfb506NAB69evx6ZNm6BUKrF48WLMmzdPrzGI9MWsamNWyRgxq9qYVTJGzKo2ZpWMEbOqjVk1DjLx4EXQ63Do0CF069YNhYWF8Pf3/yPmZXRWrVqF8PBwTNkxBW5Kt+aeDhlQwb8LkPmPTCScSoCFtUXjG5BRK/h3ATLeynii36+obuPHj8exY8ewZ8+e5p4K4f7nKrNKD2JWjQuzSvVhVo0Ls0r1YVaND/NKdWFWjY+u9XDeeZGeOAdWH0AbjzZwcHXA2e/P4uu4r+E31I+FdaLHzIcffojQ0FDY2NggJycHK1asqPebA0TUfJhVImlgVomkgVklkgZm9fHB4jo9ca5duIachBxcu3AN9s728Bvih0H/HNTc0yIiAztw4ACSk5Nx7do1eHp6YsGCBYiMjGzuaRHRA5hVImlgVomkgVklkgZm9fHB4jo9cfpN7Id+E/s19zSIqImtXbu2uadARDpgVomkgVklkgZmlUgamNXHR5Pd0JSIiIiIiIiIiIiI6HHF4joRERERERERERERkZ5YXCciIiIiIiIiIiIi0pNe11wvLS1tqnkYvfLycgDA+R/ON/NMiKghv1T8AuDJfr8ikoLaz1Vmlci4MatE0sCsEkkH80okDbpmVCaEEI01qqiogEKhQHV19SNPTMpkJjIIVaO7i4iamYmpCVQ1quaeBhE1wtTUFDU1Nc09DSJqBLNKJA3MKpF0MK9E0tCiRQuUlpaiQ4cO9bbRqbgO3CuwX7p0yWCTk6Jbt27B0tKyuadBRI1gVomkgVklkgZmlUgamFUi6WBeiaShTZs2DRbWAT2K60REREREREREREREdA9vaEpEREREREREREREpCcW14mIiIiIiIiIiIiI9MTiOhERERERERERERGRnlhcJyIiIiIiIiIiIiLSE4vrRERERERERERERER6YnGdiIiIiIiIiIiIiEhPLK4TEREREREREREREemJxXUiIiIiIiIiIiIiIj2xuE5EREREREREREREpCcW14mIiIiIiIiIiIiI9MTiOhERERERERERERGRnlhcJyIiIiIiIiIiIiLSE4vrRERERERERERERER6YnGdiIiIiIiIiIiIiEhPLK4TEREREREREREREemJxXUiIiIiIiIiIiIiIj2xuE5EREREREREREREpCcW14mIiIiIiIiIiIiI9MTiOhERERERERERERGRnlhcJyIiIiIiIiIiIiLSE4vrRERERERERERERER6YnGdiIiIiIiIiIiIiEhPLK4TEREREREREREREemJxXUiIiIiIiIiIiIiIj2xuE5EREREREREREREpCcW14mIiIiIiIiIiIiI9MTiOhERERERERERERGRnlhcJyIiIiIiIiIiIiLSE4vrRERERERERERERER6+j/TqCNpqYZACgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query47: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query48: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,0,1]) != (shifts[0,1,1])]\n",
      "Size of CL:  7\n",
      "Size of B:  355\n",
      "Number of Queries:  49\n",
      "Query49: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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5OQmff/65yuvkcrkQGRkpCIIglJSUCACEI0eOKNdbW1sLy5YtUz6/ffu2MGTIEKFJkyYCAJV1j1q3bp0glUoFExMTwd3dXdi6datG750EITU1lVnVALN6RLn+cbNa1dejjx49emj0/p93zKrmmNcjyvWPm1cnJ6dq81o1FtWMWdVcQ2d1586d1e7no0aNqvE1ixcvFnr27CnY2toKJiYmQuvWrYXRo0cLZ86cUbbp0aOHMGHCBJXXDRgwQKVfAMKmTZuUz/+Z5SphYWFCs2bN6szezp07BU9PT8HExERwcXGp9W9meohZ1Ryzukn5/EmyWt17cHJyqvP9E/OqKWZ1k/L542a1R48eWr8HekjTuWCJIAjC40zKP28OHz6Mjh07Ii8vD15eXg1dznNl1apVCA8Pxx9//AETE5OGLof03OrVqxEcHMysNgBmlbTBrDYs5pU0xaw2LGaVNMWsNixmlbTBvDYcZpW0oelcMC8LQ3qroqICZWVliIuLwwcffMADH5GeYlaJxIN5JRIHZpVIHJhVInFgVqk+8YampLcSEhLQvn172NvbY/r06Q1dDhHVgFklEg/mlUgcmFUicWBWicSBWaX6xMl10ltRUVG4d+8eduzYwZuNEekxZpVIPJhXInFgVonEgVklEgdmleoTJ9eJiIiIiIiIiIiIiLTEyXUiIiIiIiIiIiIiIi1xcp2IiIiIiIiIiIiISEtGmjYsLS3FlStX6rMWvVZUVAQAyMjIUP6biPRPdnY2AGaVSN8xq0TiwKwSiQOzSiQezCuROJSUlGjUTiIIglBXo9LSUshkMlRUVDxxYWJmYGAAhULR0GUQUR2YVSJxYFaJxIFZJRIHZpVIPJhXInEwNDTE3r170bVr1xrbaPTN9StXrqCiogKpqamQyWQ6K1BMMjIyMGPGjOd6GxCJAbNKJA7MKpE4MKtE4sCsEokH80okDkVFRQgODoapqWmt7TS+LAwAyGQyeHl5PVFhYlX1U53neRsQiQGzSiQOzCqRODCrROLArBKJB/NK9GzhDU2JiIiIiIiIiIiIiLTEyXUiIiIiIiIiIiIiIi1xcp2IiIiIiIiIiIiISEucXCeqwa5duyCRSHD16tWGLkWvaiHSR/qUEX2qhUjf6FM+9KkWIn2jT/nQp1qI9I0+5UOfaiHSN/qUD32q5Vmhk8n10aNHQyKRIC4uTmX55s2bIZFIdDGEzm3cuBGvv/46mjVrBolEgvz8/IYuSfR0uR84OzsjOTlZ4/axsbEwNDTE3LlztRqnNq+++irKyspgbW2tsz6J9AXzSiQOzCqRODCrROLArBKJA7NKYqKzb66bmZkhPj4e5eXluuoSAHD37l2d9lfl77//Rrdu3RAfH18v/T+v6ms/qMvSpUsxdepULF26VGd9mpiYwN7eXm8/ICJ6UswrkTgwq0TiwKwSiQOzSiQOzCqJhc4m1/39/WFvb4/Y2Nga20RFRcHT01NlWXJyMpydnZXPR48ejYEDByImJgYtW7aEq6srAGDBggVo164dzMzMYGdnh6FDhypfo1AoEBsbizZt2sDc3BxyuRzr16+vtd6QkBDMnDkT/v7+2r9ZqpEm+wEAbNiwAe7u7jA1NYWzszMSExOV6/z8/HD27FmEh4dDIpHUefDZvXs3bt26hejoaFy/fh379u1TWX/06FH07NkTlpaWsLKyQseOHZGbmwsAOHv2LAIDA2FjYwMLCwu4u7sjIyMDQPU/lVmyZAkcHR3RqFEjDBo0CElJSWjSpIlyfdU+vmrVKjg7O8Pa2hojRozAjRs3lG002V8zMjIglUphbm6Onj174syZM7VuA6LHwbwyryQOzCqzSuLArDKrJA7MKrNK4sCsMqtiobPJdUNDQ8yZMwfz58/HuXPnnqivHTt2oLi4GNu3b0d6ejpyc3Mxfvx4REdHo7i4GNu2bYOvr6+yfWxsLFauXImFCxfi+PHjCA8PR3BwMHbv3v2kb4u0pMl+kJeXh2HDhmHEiBEoKChAVFQUZsyYgeXLlwN4cMmeVq1aITo6GmVlZSgrK6t1zJSUFAQFBcHY2BhBQUFISUlRWT9y5Ei0atUKhw4dQl5eHqZNmwZjY2MAwNixY3Hnzh3s2bMHBQUFiI+PR+PGjasdJzs7G2FhYZgwYQLy8/MREBCAmJgYtXanTp3C5s2bkZ6ejvT0dOzevVvlp0x17a+///47Bg8ejMDAQOTn5yM0NBTTpk2rdRsQPQ7mlXklcWBWmVUSB2aVWSVxYFaZVRIHZpVZFQ1BA3l5eQIAIS8vr9r1o0aNEgYMGCAIgiC88sorwnvvvScIgiBs2rRJ+OcQkZGRglwuV3nt559/Ljg5Oan0ZWdnJ9y5c0e5bMOGDYKVlZVw/fp1tbFv374tNGrUSNi3b5/K8n/9619CUFBQne+tpKREACAcOXKk1napqam1bgPSfD94++23hYCAAJXXRkRECG5ubsrnTk5Owueff17nmNeuXRPMzc2F/Px8QRAE4ciRI0Ljxo2FGzduKNtYWloKy5cvr/b1Hh4eQlRUVLXrdu7cKQAQysvLBUEQhOHDhwv9+vVTaTNy5EjB2tpa+TwyMlJo1KiRyr4aEREhdOnSRRAEzfbX6dOnq2wLQRCEjz76SKUWqhmzqhnmlXltaMyqZphVZrWhMauaYVaZ1YbGrGqGWWVW9QHzWjdmlVnVB3XNh1fR2TfXq8THx2PFihUoKip67D48PDxgYmKifB4QEAAnJye4uLggJCQEq1evRkVFBQDgt99+Q0VFBQICAtC4cWPlY+XKlTh16tQTvx96PLXtB0VFRfDx8VFZ5uPjg5MnT6KyslKrcdLS0tC2bVvI5XIAgKenJ5ycnLB27Vplm0mTJiE0NBT+/v6Ii4tT2S/Gjx+P2bNnw8fHB5GRkTh27FiNYxUXF8Pb21tl2aPPgQc3y7C0tFQ+d3BwwKVLlwBotr8WFRWhS5cuKn127dpV001CpDXmlXklcWBWmVUSB2aVWSVxYFaZVRIHZpVZ1Xc6n1z39fVF7969MX36dPXBDAwgCILKsnv37qm1s7CwUHluaWmJw4cPIy0tDQ4ODpg5cybkcjmuXr2KmzdvAgC2bt2K/Px85aOwsLDO665T/altP9CllJQUHD9+HEZGRspHYWGhyo0noqKicPz4cfTr1w9ZWVlwc3PDpk2bAAChoaE4ffo0QkJCUFBQgE6dOmH+/PlPVFPVT4KqSCQSKBQKAOD+SnqJeX2IeSV9xqw+xKySPmNWH2JWSZ8xqw8xq6TPmNWHmFX9ZFQfncbFxcHT01N5M9Iqtra2uHDhAgRBUN5EID8/X6M+jYyM4O/vD39/f0RGRqJJkybIyspCQEAATE1NUVpaih49euj6rdATqGk/kMlkyM7OVlmWnZ0NqVQKQ0NDAA/upFzXp4wFBQXIzc3Frl270LRpU+Xyv/76C35+fjhx4gTat28PAJBKpZBKpQgPD0dQUBCWLVuGQYMGAQAcHR0RFhaGsLAwTJ8+HUuWLMG4cePUxnN1dcWhQ4dUlj36vC5ubm517q8ymQxbtmxRWbZ//36txiHSFvOqjnklfcSsqmNWSR8xq+qYVdJHzKo6ZpX0EbOqjlnVH/Uyue7h4YGRI0di3rx5Ksv9/Pxw+fJlJCQkYOjQodi2bRsyMzNhZWVVa3/p6ek4ffo0fH19YWNjg4yMDCgUCri6usLS0hJTpkxBeHg4FAoFunXrhmvXriE7OxtWVlYYNWpUtX3+9ddfKC0txR9//AHgwU8yAMDe3h729vY62ApU034wefJkdO7cGbNmzcLw4cORk5ODL7/8EgsWLFC2cXZ2xp49ezBixAiYmpqiefPmav2npKTA29tb5ea2VTp37oyUlBRER0cjIiICQ4cORZs2bXDu3DkcOnQIQ4YMAQBMnDgRffv2hVQqRXl5OXbu3AmZTFbt+xk3bhx8fX2RlJSEwMBAZGVlITMzs867Tf+TJvtrWFgYEhMTERERgdDQUOTl5SlvxkFUX5hXdcwr6SNmVR2zSvqIWVXHrJI+YlbVMaukj5hVdcyqHtHFBdz/eaOBKiUlJYKJiYnw6BBff/214OjoKFhYWAjvvPOOEBMTo3ZD00f72rt3r9CjRw/BxsZGMDc3Fzp06CCsXbtWuV6hUAjJycmCq6urYGxsLNja2gq9e/cWdu/eXeN7WrZsmQBA7REZGVlte95wom7a7Afr168X3NzcBGNjY6F169bC3LlzVdbn5OQIHTp0EExNTdVeKwiCcOfOHaFZs2ZCQkJCtbXEx8cLLVq0EG7fvi2MGDFCcHR0FExMTISWLVsK//nPf4Rbt24JgiAI//nPf4S2bdsKpqamgq2trRASEiJcuXJFEAT1G04IgiAsXrxYeOGFFwRzc3Nh4MCBwuzZswV7e3vlek1u2qvJ/vr9998LL774omBqaip0795dWLp0KW84oSFmVTPMK/Pa0JhVzTCrzGpDY1Y1w6wyqw2NWdUMs8qs6gPmtW7MKrOqDzS9oalEEB65CHo1Dh8+jI4dOyIvLw9eXl5PNpsvUqtXr0ZwcPBzvQ1I3ZgxY3DixAns3bu3oUuh/8esUk2YV/3CrFJNmFX9wqxSTZhV/cKsUk2YVf3DvFJ1mFX9o+l8eL1cFoboWfXZZ58hICAAFhYWyMzMxIoVK1R+bkRE+oN5JRIHZpVIHJhVInFgVonEgVl9dnBynUgLBw8eREJCAm7cuAEXFxfMmzcPoaGhDV0WEVWDeSUSB2aVSByYVSJxYFaJxIFZfXZwcp1IC+vWrWvoEohIQ8wrkTgwq0TiwKwSiQOzSiQOzOqzw6ChCyAiIiIiIiIiIiIiEhtOrhMRERERERERERERaYmT60REREREREREREREWuLkOhERERERERERERGRlrS6oWlGRgaKiorqqxa9lp2dDeD53gZEYsCsEokDs0okDswqkTgwq0TiwbwSiUNJSYlG7SSCIAh1NcrJyUH37t1RWVn5xIWJmcRAAkFR5+YiogZmYGAAhULR0GUQUR14XiUSB2aVSByYVSLxYF6JxEFiIEH2z9no2rVrjW00+ua6qakpKisrkZqaCplMprMCxSQjIwMzZsxA8KJg2EntGrocIqpB4U+FyIzJfK6PV0RiwPMqkThUnVeZVSL9xqwSiQfzSiQOF3+9iNQPUmFqalprO60uCyOTyeDl5fVEhYlV1U917KR2cJQ7NnA1RFSTi79eBPB8H6+IxIDnVSJxqDqvMqtE+o1ZJRIP5pXo2cIbmhIRERERERERERERaYmT60REREREREREREREWuLkOhERERERERERERGRlji5Ts+8iU0n4tjWYw1dBgD9qoXoWbJr1y5IJBJcvXq1oUvRq1qI6oM+ncv0qRYifaNP+dCnWoj0kT5lRJ9qIdI3+pQPfarleaeTyfXRo0dDIpEgLi5OZfnmzZshkUh0MYRO3bt3Dx999BE8PDxgYWGBli1b4p133sEff/zR0KU990oOliC8eTgWD1+ssz6ji6Lh5u+ms/6IngW6PG47OzsjOTlZ4/axsbEwNDTE3LlztRqnNq+++irKyspgbW2tsz6JngU8rxKJA7NKJB7MK5E4MKv0tOjsm+tmZmaIj49HeXm5rroEANy9e1en/QFARUUFDh8+jBkzZuDw4cPYuHEjiouL0b9/f52PRdo5kHoA3cd0x6mcU7hWdk0nfVrZWcHI1EgnfRE9S+rruF2XpUuXYurUqVi6dKnO+jQxMYG9vb1efqBL1JB4XiUSB2aVSDyYVyJxYFbpadHZ5Lq/vz/s7e0RGxtbY5uoqCh4enqqLEtOToazs7Py+ejRozFw4EDExMSgZcuWcHV1BQAsWLAA7dq1g5mZGezs7DB06FDlaxQKBWJjY9GmTRuYm5tDLpdj/fr1NdZhbW2N7du3Y9iwYXB1dcUrr7yCL7/8Enl5eSgtLX28DUBP7M7NOziy+Qh83vOBW4AbDqYdVK6ruFqBVe+vwiftPkFEywjM7jQbB1YfAADcv3sf66eux0zZTExxmIJPO3yK7Z9vV7720Z/KlBwoQYJvAqY4TEHia4k4tvUYJjadiHMF5wAAJ38+iYlNJ+LX3b8i8bVERLwQgeTeybh48qJKvQUZBfjM7zNMcZiCWS/Pwrb4bai8X6lcf/nUZczrNw9THKYg9pVYFO8srpftRvS4NDluA8CGDRvg7u4OU1NTODs7IzExUbnOz88PZ8+eRXh4OCQSSZ2T27t378atW7cQHR2N69evY9++fSrrjx49ip49e8LS0hJWVlbo2LEjcnNzAQBnz55FYGAgbGxsYGFhAXd3d2RkZACo/lIsS5YsgaOjIxo1aoRBgwYhKSkJTZo0Ua6vOietWrUKzs7OsLa2xogRI3Djxg1lG03OLxkZGZBKpTA3N0fPnj1x5syZWrcB0dPC8yqRODCrROLBvBKJA7NKT5POPm4xNDTEnDlz8Pbbb2P8+PFo1arVY/e1Y8cOWFlZYfv2Bztwbm4uxo8fj1WrVuHVV1/FX3/9hb179yrbx8bGIjU1FQsXLkS7du2wZ88eBAcHw9bWFj169NBozGvXrkEikahMvNDTdWTzEbRo1wJ27ezQaVgnbPp4E/zD/SGRSJAxJwMXii/gg3UfwKKZBa6cvoJ7t+8BAPYs2oNfMn/BqKWjYNPKBlfPX0X5+eq/iXv7+m0seXsJ3ALc8M7id/DX739h0yebqm27dfZWDJg1AI2bNca6yeuwZtwaTNg2AQBwKucUVn+4GoPjBsOlqwv+LPkTa8PXAgD6fNQHCoUCS99ZCssWlgjfHo7b129j08fVj0PUUDQ5bufl5WHYsGGIiorC8OHDsW/fPvz73/9Gs2bNMHr0aGzcuBFyuRzvv/8+xowZU+eYKSkpCAoKgrGxMYKCgpCSkoJXX31VuX7kyJF4+eWX8fXXX8PQ0BD5+fkwNjYGAIwdOxZ3797Fnj17YGFhgcLCQjRu3LjacbKzsxEWFob4+Hj0798fP/30E2bMmKHW7tSpU9i8eTPS09NRXl6OYcOGIS4uDjExMQDqPr/8/vvvGDx4MMaOHYv3338fubm5mDx5skbbn6i+8bxKJA7MKpF4MK9E4sCs0tOk098yDBo0CJ6enoiMjERKSspj92NhYYFvvvkGJiYmAICNGzfCwsICb775JiwtLeHk5ISXX34ZAHDnzh3MmTMHP/30E7p27QoAcHFxwc8//4xFixZpNLl++/ZtfPTRRwgKCoKVldVj101P5kDqAXR6qxMAoH2v9rh1/RZ+y/4N7bq1Q/m5crzg8QJav9waANCsdTPl68rPl8O2rS1cXnGBRCJBU8emNY6RtyEPEokEw5OHw9jMGPbt7XGt7BrWTlyr1rbff/vhRZ8XAQD+E/2xePhi3Lt9D8Zmxvgh4Qf0mtgL3kHeAIDmzs3xxsdvYEvUFvT5qA9+3fUrLp68iLD1YbB2sFb2t2jYIt1sLCIdqeu4nZSUhF69eiknpqVSKQoLCzF37lyMHj0aTZs2haGhISwtLWFvb1/rWNevX8f69euRk5MDAAgODkb37t3xxRdfKCfJS0tLERERgfbt2wMA2rVrp3x9aWkphgwZAg8PDwAPjvU1mT9/Pvr27YspU6Yo6963bx/S09NV2ikUCixfvhyWlpYAgJCQEOzYsQMxMTEanV++/vprtG3bVvltfldXVxQUFCA+Pr7WbUH0NPC8SiQOzCqReDCvROLArNLTpPMLBcXHx+O1115TTmg8Dg8PD+XEOgAEBATAyckJLi4u6NOnD/r06YNBgwahUaNG+O2331BRUYGAgACVPu7evaucgK/NvXv3MGzYMAiCgK+//vqxa6Ync/HkRZw9fBbvrXoPAGBoZIiXB72MA6kH0K5bO/i864Nlo5fh3LFzaN+zPTze8ECbLm0AAN5B3vh68NeY4z0H7Xu1h/vr7mj/Wvtqx7l08hJaureEsZmxcplTR6dq27Z0b6n8t5Xdgw9dbl65CZtWNjj/y3mUHCjB9qSHPw8SKgXcu30Pdyvu4uKvF2Hzgo3ywAcAzt7Oj7dxiOpZbcftoqIiDBgwQGWZj48PkpOTUVlZCUNDQ43HSUtLQ9u2bSGXywEAnp6ecHJywtq1a/Gvf/0LADBp0iSEhoZi1apV8Pf3x1tvvYW2bdsCAMaPH48PP/wQP/74I/z9/TFkyBB06NCh2rGKi4sxaNAglWXe3t5qk+vOzs7KiXUAcHBwwKVLlwBAo/NLUVERunTporK+aiKeqCHxvEokDswqkXgwr0TiwKzS06bzyXVfX1/07t0b06dPx+jRo1XWGRgYQBAElWX37t1T68PCwkLluaWlJQ4fPoxdu3bhxx9/xMyZMxEVFYVDhw7h5s2bAICtW7fihRdeUHmdqalprbVWTayfPXsWWVlZ/NZ6AzqQegCK+wpEukUqlwmCACNTIwxJGAK3ADdEHo1E4fZCFO8qxoJBC9DtX90wYNYAOModMfPITBT+VIhfd/+K5e8th2sPV7y74t0nqsnA+B+3JPj/y0grFAoAwN2/76LPtD7o8Kb6xJ6RGW9uQeJS23Fbl1JSUnD8+HEYGT3MiEKhwNKlS5WT61FRUXj77bexdetWZGZmIjIyEmvWrMGgQYMQGhqK3r17Y+vWrfjxxx8RGxuLxMREjBs37rFrqrrkTBWJRKLM+ZOcX4gaGs+rROLArBKJB/NKJA7MKj1t9fJfKS4uDp6ensqbkVaxtbXFhQsXIAiC8qZ3+fn5GvVpZGQEf39/+Pv7IzIyEk2aNEFWVhYCAgJgamqK0tJSja+vDjycWD958iR27tyJZs2a1f0iqheV9ytxaO0hDJg1AO17qn4imBKSgsMbDsPnXR80bt4Y3kHe8A7yRnbXbGyZuQUDZj34Rq2ZlRm8BnvBa7AX5P3lWPTWIvxd/jcsbFQ/qGnRrgVyv8vF/Tv3lXd4Lj2s/U1sW3VohUsnL8HWxbba9XZSO5SfL8e1C9dgbf/g08Uzh85oPQ7R01LTcVsmkyE7O1tlWXZ2NqRSqfJb6yYmJqisrERtCgoKkJubi127dqFp04c/rfvrr7/g5+eHEydOKC8FI5VKIZVKER4ejqCgICxbtkz5LXRHR0eEhYUhLCwM06dPx5IlS6qdXHd1dcWhQ4dUlj36vC5ubm51nl9kMhm2bNmismz//v1ajUOkazyvEokDs0okHswrkTgwq9QQ6mVy3cPDAyNHjsS8efNUlvv5+eHy5ctISEjA0KFDsW3bNmRmZtb5jfH09HScPn0avr6+sLGxQUZGBhQKBVxdXWFpaYkpU6YgPDwcCoUC3bp1w7Vr15CdnQ0rKyuMGjVKrb979+5h6NChOHz4MNLT01FZWYkLFy4AAJo2bapySRqqf8d/OI6KqxV4JeQVmFuZq6zrENgB+1P341rZNTh6OsK+vT3u37mPwh8KYSe1AwDs/GonrOyt0MqjFSQGEhz931FY2VnB3NpcbayOQzpi6+ytWBu+Fr0m9EL5uXJkfZkFAMoPfDTxesTrWBK0BDatbCDvL4fEQII/fvkDZSfK0O+TfpD6SdGibQt8++9v0T+6P27fuI2MmIwn2EpE9aum4/bkyZPRuXNnzJo1C8OHD0dOTg6+/PJLLFiwQNnG2dkZe/bswYgRI2BqaormzZur9Z+SkgJvb2/4+vqqrevcuTNSUlIQHR2NiIgIDB06FG3atMG5c+dw6NAhDBkyBAAwceJE9O3bF1KpFOXl5di5cydkMlm172fcuHHw9fVFUlISAgMDkZWVhczMTK1yrsn5JSwsDImJiYiIiEBoaCjy8vKwfPlyjccgqg88rxKJA7NKJB7MK5E4MKvUEAzqbvJ4oqOjlT9xqCKTybBgwQJ89dVXkMvlOHjwoEbXZm/SpAk2btyI1157DTKZDAsXLkRaWhrc3d0BALNmzcKMGTMQGxsLmUyGPn36YOvWrWjTpk21/Z0/fx5btmzBuXPn4OnpCQcHB+Vj3759T/7mSSsHUg/AtYer2oEPAOSBcvx+5HcYGBkgPTodCd0TMP/N+ZAYSjAq5cEHJ2aNzZA1LwuJvRKR1CsJf/3+F95f+z4MDNR3bzMrM4z5dgzOF5zH3B5zkRGTgd5TewOA8pNGTch6yTAmbQyKdxYjyT8Jya8nY9fXu9C01YNv5BoYGOC9Ve/h3u17SPJPwpoJa/DGJ288zuYhemqqO257eXlh3bp1WLNmDV566SXMnDkT0dHRKpePiY6OxpkzZ9C2bVvY2qp/2n737l2kpqYqJ8kfNWTIEKxcuRIGBgb4888/8c4770AqlWLYsGHo27cvPv30UwBAZWUlxo4dqzzOS6VSlUn+f/Lx8cHChQuRlJQEuVyObdu2ITw8HGZmZlptk7rOL61bt8aGDRuwefNmyOVyLFy4EHPmzNFqDCJd43mVSByYVSLxYF6JxIFZpYYgER69CHo1Dh8+jI4dOyIvLw9eXl5Poy69s3r1agQHB2PyzslwlDs2dDmkQ7nf5SLtP2mIPRMLE3P+akHscr/LReoHqc/18YqqN2bMGJw4cQJ79+5t6FIIPK8+y3hefbZUnVeZ1WcPs/psYVafbczrs4V5fXYxq8+W34/+jsSeiXXOL/HK+PTcObjmIJo7N4e1gzXO/3Ie30d9D8+BnjzwET1jPvvsMwQEBMDCwgKZmZlYsWJFjd90J6LHx/MqkTgwq0TiwbwSiQOzSgAn1+k5dOPSDWTGZuLGpRuwsrOC5wBP9Ptvv4Yui4h07ODBg0hISMCNGzfg4uKCefPmITQ0tKHLInrm8LxKJA7MKpF4MK9E4sCsEsDJdXoO9RrfC73G92roMoionq1bt66hSyB6LvC8SiQOzCqReDCvROLArBJQjzc0JSIiIiIiIiIiIiJ6VnFynYiIiIiIiIiIiIhIS5xcJyIiIiIiIiIiIiLSklbXXM/IyEBRUVF91aLXsrOzAQCFPxXi4q8XG7gaIqrJ6QOnATzfxysiMeB5lUgcqs6rzCqRfmNWicSDeSUShz9L/9SonUQQBKGuRjk5OejevTsqKyufuDAxkxhIICjq3FxE1MAMDAygUCgaugwiqgOzSiQOzCqRODCrROLBvBKJg4GhAX7e+zO6du1aYxuNvrluamqKyspKpKamQiaT6axAMcnIyMCMGTMQvCgYdlK7hi6HiGpQ+FMhMmMyn+vjFZEYVJ1XmVUi/casEokDs0okHswrkTgUFRUhODgYpqamtbbT6rIwMpkMXl5eT1SYWFVdXsJOagdHuWMDV0NENan6Wd3zfLwiEoOq8yqzSqTfmFUicWBWicSDeSV6tvCGpkREREREREREREREWuLkOhERERERERERERGRlji5TkRERERERERERESkJU6u0zNvYtOJOLb1WEOXAUC/aiF6luzatQsSiQRXr15t6FL0qhYifaNP+dCnWoj0jT7lQ59qIdI3+pQPfaqFSN/oUz70qZZnhU4m10ePHg2JRIK4uDiV5Zs3b4ZEItHFEDoXFRWF9u3bw8LCAjY2NvD398eBAwcauqznXsnBEoQ3D8fi4Yt11md0UTTc/N101h/Rs0CXx21nZ2ckJydr3D42NhaGhoaYO3euVuPU5tVXX0VZWRmsra111ieRPmBWicSBWSUSB2aVSByYVRITnX1z3czMDPHx8SgvL9dVlwCAu3fv6rS/KlKpFF9++SUKCgrw888/w9nZGa+//jouX75cL+ORZg6kHkD3Md1xKucUrpVd00mfVnZWMDI10klfRM+S+jpu12Xp0qWYOnUqli5dqrM+TUxMYG9vr7cf6BI9CWaVSByYVSJxYFaJxIFZJbHQ2eS6v78/7O3tERsbW2ObqKgoeHp6qixLTk6Gs7Oz8vno0aMxcOBAxMTEoGXLlnB1dQUALFiwAO3atYOZmRns7OwwdOhQ5WsUCgViY2PRpk0bmJubQy6XY/369bXW+/bbb8Pf3x8uLi5wd3dHUlISrl+/jmPHeMmOhnLn5h0c2XwEPu/5wC3ADQfTDirXVVytwKr3V+GTdp8gomUEZneajQOrH/zS4P7d+1g/dT1mymZiisMUfNrhU2z/fLvytY9eiqXkQAkSfBMwxWEKEl9LxLGtxzCx6UScKzgHADj580lMbDoRv+7+FYmvJSLihQgk907GxZMXVeotyCjAZ36fYYrDFMx6eRa2xW9D5f1K5frLpy5jXr95mOIwBbGvxKJ4Z3G9bDeix6XJcRsANmzYAHd3d5iamsLZ2RmJiYnKdX5+fjh79izCw8MhkUjq/GNh9+7duHXrFqKjo3H9+nXs27dPZf3Ro0fRs2dPWFpawsrKCh07dkRubi4A4OzZswgMDISNjQ0sLCzg7u6OjIwMANX/tG3JkiVwdHREo0aNMGjQICQlJaFJkybK9VXnpFWrVsHZ2RnW1tYYMWIEbty4oWyjyfklIyMDUqkU5ubm6NmzJ86cOVPrNiDSFrPKrJI4MKvMKokDs8qskjgwq8yqWOhsct3Q0BBz5szB/Pnzce7cuSfqa8eOHSguLsb27duRnp6O3NxcjB8/HtHR0SguLsa2bdvg6+urbB8bG4uVK1di4cKFOH78OMLDwxEcHIzdu3drNN7du3exePFiWFtbQy6XP1Ht9PiObD6CFu1awK6dHToN64QDqw9AEAQAQMacDFwovoAP1n2Aafun4a3P3oJFMwsAwJ5Fe/BL5i8YtXQUPj74MUIWh6Bp66bVjnH7+m0seXsJWrq1xJSdU9B3el98/+n31bbdOnsrBswagMk7JsPAyABrxq1RrjuVcwqrP1wN3w98MS1nGoYlDcPBtIPYnvhgUl+hUGDpO0thZGKE8O3hGJY0rMZxiBqKJsftvLw8DBs2DCNGjEBBQQGioqIwY8YMLF++HACwceNGtGrVCtHR0SgrK0NZWVmtY6akpCAoKAjGxsYICgpCSkqKyvqRI0eiVatWOHToEPLy8jBt2jQYGxsDAMaOHYs7d+5gz549KCgoQHx8PBo3blztONnZ2QgLC8OECROQn5+PgIAAxMTEqLU7deoUNm/ejPT0dKSnp2P37t0qPz2s6/zy+++/Y/DgwQgMDER+fj5CQ0Mxbdq0WrcBkbaYVWaVxIFZZVZJHJhVZpXEgVllVsVCp9fKGDRoEDw9PREZGam2A2rDwsIC33zzDUxMTAA8CIOFhQXefPNNWFpawsnJCS+//DIA4M6dO5gzZw5++ukndO3aFQDg4uKCn3/+GYsWLUKPHj1qHCc9PR0jRoxARUUFHBwcsH37djRv3vyx66YncyD1ADq91QkA0L5Xe9y6fgu/Zf+Gdt3aofxcOV7weAGtX24NAGjWupnydeXny2Hb1hYur7hAIpGgqWP1E+sAkLchDxKJBMOTh8PYzBj27e1xrewa1k5cq9a233/74UWfFwEA/hP9sXj4Yty7fQ/GZsb4IeEH9JrYC95B3gCA5s7N8cbHb2BL1Bb0+agPft31Ky6evIiw9WGwdrBW9rdo2CLdbCwiHanruJ2UlIRevXphxowZAB5cUquwsBBz587F6NGj0bRpUxgaGsLS0hL29va1jnX9+nWsX78eOTk5AIDg4GB0794dX3zxhfKPjtLSUkRERKB9+/YAgHbt2ilfX1paiiFDhsDDwwPAg2N9TebPn4++fftiypQpyrr37duH9PR0lXYKhQLLly+HpaUlACAkJAQ7duxATEyMRueXr7/+Gm3btlV+O8LV1VX5hxSRLjGrzCqJA7PKrJI4MKvMKokDs8qsioHOvrleJT4+HitWrEBRUdFj9+Hh4aGcWAeAgIAAODk5wcXFBSEhIVi9ejUqKioAAL/99hsqKioQEBCAxo0bKx8rV67EqVOnah2nZ8+eyM/Px759+9CnTx8MGzYMly5deuy66fFdPHkRZw+fhdcQLwCAoZEhXh70Mg6kPrj0i8+7Pjiy6QgSfBOwJXILSg6UKF/rHeSN8wXnMcd7DjZM24ATWSdqHOfSyUto6d4SxmbGymVOHZ2qbdvSvaXy31Z2VgCAm1duAgDO/3IeP879EVMdpyofayeuxfUL13G34i4u/noRNi/YKCfWAcDZ21nLrUL0dNR23C4qKoKPj4/KMh8fH5w8eRKVlZVq7WuTlpaGtm3bKn8h5OnpCScnJ6xd+/DDrUmTJiE0NBT+/v6Ii4tTOY6PHz8es2fPho+PDyIjI2u9jFdxcTG8vb1Vlj36HHhwc5uqP1QAwMHBQXke0OT8UlRUhC5duqj0WfWHDZGuMavMKokDs8qskjgwq8wqiQOzyqzqO51Prvv6+qJ3796YPn26+mAGBsrLfFS5d++eWjsLCwuV55aWljh8+DDS0tLg4OCAmTNnQi6X4+rVq7h588Fk59atW5Gfn698FBYW1nnddQsLC7z44ot45ZVXkJKSAiMjoyf6xj09vgOpB6C4r0CkWyQm2U7CJNtJyF6ajaPfH8Wt67fgFuCGyKOR8PvQD9cuXMOCQQvwvxn/AwA4yh0x88hM9J3eF/du3cPy95Zj2ahlT1yTgfE/4vH/l+VSKBQAgLt/30WfaX0QsTtC+Zj681R8kvsJjMx481QSl9qO27qUkpKC48ePw8jISPkoLCxUuVFMVFQUjh8/jn79+iErKwtubm7YtGkTACA0NBSnT59GSEgICgoK0KlTJ8yfP/+Jaqr6CV8ViUSizPmTnF+I6gOz+hCzSvqMWX2IWSV9xqw+xKySPmNWH2JW9VO9zALGxcXB09NTeTPSKra2trhw4QIEQVDeRCA/P1+jPo2MjODv7w9/f39ERkaiSZMmyMrKQkBAAExNTVFaWlrrJWA0oVAocOfOnSfqg7RXeb8Sh9YewoBZA9C+Z3uVdSkhKTi84TB83vVB4+aN4R3kDe8gb2R3zcaWmVswYNYAAICZlRm8BnvBa7AX5P3lWPTWIvxd/jcsbFQ/qGnRrgVyv8vF/Tv3YWT6YPcvPVyqdc2tOrTCpZOXYOtiW+16O6kdys+X49qFa7C2f/Dt9TOHzmg9DtHTUtNxWyaTITs7W2VZdnY2pFIpDA0NATy483ld3wooKChAbm4udu3ahaZNH1666a+//oKfnx9OnDih/GmdVCqFVCpFeHg4goKCsGzZMgwaNAgA4OjoiLCwMISFhWH69OlYsmQJxo0bpzaeq6srDh06pLLs0ed1cXNzq/P8IpPJsGXLFpVl+/fv12ocIm0wq+qYVdJHzKo6ZpX0EbOqjlklfcSsqmNW9Ue9TK57eHhg5MiRmDdvnspyPz8/XL58GQkJCRg6dCi2bduGzMxMWFlZ1dpfeno6Tp8+DV9fX9jY2CAjIwMKhQKurq6wtLTElClTEB4eDoVCgW7duuHatWvIzs6GlZUVRo0apdbf33//jZiYGPTv3x8ODg64cuUKvvrqK5w/fx5vvfWWTrcF1e34D8dRcbUCr4S8AnMrc5V1HQI7YH/qflwruwZHT0fYt7fH/Tv3UfhDIeykdgCAnV/thJW9FVp5tILEQIKj/zsKKzsrmFubq43VcUhHbJ29FWvD16LXhF4oP1eOrC+zAKDOu0b/0+sRr2NJ0BLYtLKBvL8cEgMJ/vjlD5SdKEO/T/pB6idFi7Yt8O2/v0X/6P64feM2MmIynmArEdWvmo7bkydPRufOnTFr1iwMHz4cOTk5+PLLL7FgwQJlG2dnZ+zZswcjRoyAqalptfeuSElJgbe3t8rNqKt07twZKSkpiI6ORkREBIYOHYo2bdrg3LlzOHToEIYMGQIAmDhxIvr27QupVIry8nLs3LkTMpms2vczbtw4+Pr6IikpCYGBgcjKykJmZqZWOdfk/BIWFobExEREREQgNDQUeXl5ypvnENUHZlUds0r6iFlVx6ySPmJW1TGrpI+YVXXMqv7Q+WVhqkRHRyt/qlBFJpNhwYIF+OqrryCXy3Hw4EHlxftr06RJE2zcuBGvvfYaZDIZFi5ciLS0NLi7uwMAZs2ahRkzZiA2NhYymQx9+vTB1q1b0aZNm2r7MzQ0xIkTJzBkyBBIpVIEBgbizz//xN69e5V90tNzIPUAXHu4qk2sA4A8UI7fj/wOAyMDpEenI6F7Aua/OR8SQwlGpTz44MSssRmy5mUhsVciknol4a/f/8L7a9+HgYH67m1mZYYx347B+YLzmNtjLjJiMtB7am8AUH6TXROyXjKMSRuD4p3FSPJPQvLrydj19S40bfXgE04DAwO8t+o93Lt9D0n+SVgzYQ3e+OSNx9k8RE9NdcdtLy8vrFu3DmvWrMFLL72EmTNnIjo6GqNHj1Z53ZkzZ9C2bVvY2qr/muPu3btITU1V/tHxqCFDhmDlypUwMDDAn3/+iXfeeQdSqRTDhg1D37598emnnwIAKisrMXbsWOVxXiqVqvzR9E8+Pj5YuHAhkpKSIJfLsW3bNoSHh8PMzEyrbVLX+aV169bYsGEDNm/eDLlcjoULF2LOnDlajUGkLWZVHbNK+ohZVceskj5iVtUxq6SPmFV1zKp+kAiPXgS9GocPH0bHjh2Rl5cHLy+vp1GX3lm9ejWCg4MxeedkOModG7oc0qHc73KR9p80xJ6JhYm5Sd0vIL2W+10uUj9Ifa6PV1S9MWPG4MSJE9i7d29Dl0J4eF5lVulRzKp+YVapJsyqfmFWqSbMqv5hXqk6zKr+0XQ+nHdepOfOwTUH0dy5OawdrHH+l/P4Pup7eA705MQ60TPms88+Q0BAACwsLJCZmYkVK1bU+M0BImo4zCqRODCrROLArBKJA7P67ODkOj13bly6gczYTNy4dANWdlbwHOCJfv/t19BlEZGOHTx4EAkJCbhx4wZcXFwwb948hIaGNnRZRPQIZpVIHJhVInFgVonEgVl9dnBynZ47vcb3Qq/xvRq6DCKqZ+vWrWvoEohIA8wqkTgwq0TiwKwSiQOz+uyotxuaEhERERERERERERE9qzi5TkRERERERERERESkJU6uExERERERERERERFpiZPrRERERERERERERERa0uqGphkZGSgqKqqvWvRadnY2AKDwp0Jc/PViA1dDRDU5feA0gOf7eEUkBlXnVWaVSL8xq0TiwKwSiQfzSiQOJSUlGrWTCIIg1NUoJycH3bt3R2Vl5RMXJmYGBgZQKBQNXQYR1YFZJRIHZpVIHJhVInFgVonEg3klEgdDQ0Ps3bsXXbt2rbGNRt9cNzU1RWVlJVJTUyGTyXRWoJhkZGRgxowZz/U2IBIDZpVIHJhVInFgVonEgVklEg/mlUgcioqKEBwcDFNT01rbaXVZGJlMBi8vrycqTKyqfqrzPG8DIjFgVonEgVklEgdmlUgcmFUi8WBeiZ4tvKEpEREREREREREREZGWOLlORERERERERERERKQlTq4T1WDXrl2QSCS4evVqQ5eiV7UQ6SN9yog+1UKkb/QpH/pUC5G+0ad86FMtRPpGn/KhT7UQ6Rt9yoc+1fKs0Mnk+ujRoyGRSBAXF6eyfPPmzZBIJLoYol6FhYVBIpEgOTm5oUsRNV3uB87Ozlr994iNjYWhoSHmzp2r1Ti1efXVV1FWVgZra2ud9UmkL5hXInFgVonEgVklEgdmlUgcmFUSE519c93MzAzx8fEoLy/XVZcAgLt37+q0v0dt2rQJ+/fvR8uWLet1nOdFfe0HdVm6dCmmTp2KpUuX6qxPExMT2Nvbi+IDIqLHwbwSiQOzSiQOzCqRODCrROLArJJY6Gxy3d/fH/b29oiNja2xTVRUFDw9PVWWJScnw9nZWfl89OjRGDhwIGJiYtCyZUu4uroCABYsWIB27drBzMwMdnZ2GDp0qPI1CoUCsbGxaNOmDczNzSGXy7F+/fo6az5//jzGjRuH1atXw9jYWLs3TNXSZD8AgA0bNsDd3R2mpqZwdnZGYmKicp2fnx/Onj2L8PBwSCSSOg8+u3fvxq1btxAdHY3r169j3759KuuPHj2Knj17wtLSElZWVujYsSNyc3MBAGfPnkVgYCBsbGxgYWEBd3d3ZGRkAKj+pzJLliyBo6MjGjVqhEGDBiEpKQlNmjRRrq/ax1etWgVnZ2dYW1tjxIgRuHHjhrKNJvtrRkYGpFIpzM3N0bNnT5w5c6bWbUD0OJhX5pXEgVllVkkcmFVmlcSBWWVWSRyYVWZVLHQ2uW5oaIg5c+Zg/vz5OHfu3BP1tWPHDhQXF2P79u1IT09Hbm4uxo8fj+joaBQXF2Pbtm3w9fVVto+NjcXKlSuxcOFCHD9+HOHh4QgODsbu3btrHEOhUCAkJAQRERFwd3d/onrpIU32g7y8PAwbNgwjRoxAQUEBoqKiMGPGDCxfvhwAsHHjRrRq1QrR0dEoKytDWVlZrWOmpKQgKCgIxsbGCAoKQkpKisr6kSNHolWrVjh06BDy8vIwbdo05YcpY8eOxZ07d7Bnzx4UFBQgPj4ejRs3rnac7OxshIWFYcKECcjPz0dAQABiYmLU2p06dQqbN29Geno60tPTsXv3bpWfMtW1v/7+++8YPHgwAgMDkZ+fj9DQUEybNq3WbUD0OJhX5pXEgVllVkkcmFVmlcSBWWVWSRyYVWZVNAQN5OXlCQCEvLy8atePGjVKGDBggCAIgvDKK68I7733niAIgrBp0ybhn0NERkYKcrlc5bWff/654OTkpNKXnZ2dcOfOHeWyDRs2CFZWVsL169fVxr59+7bQqFEjYd++fSrL//WvfwlBQUE1vqc5c+YIAQEBgkKhEARBEJycnITPP/+8xvapqam1bgPSfD94++23hYCAAJXXRkRECG5ubsrndf33qHLt2jXB3NxcyM/PFwRBEI4cOSI0btxYuHHjhrKNpaWlsHz58mpf7+HhIURFRVW7bufOnQIAoby8XBAEQRg+fLjQr18/lTYjR44UrK2tlc8jIyOFRo0aqeyrERERQpcuXQRB0Gx/nT59usq2EARB+Oijj1RqoZoxq5phXpnXhsasaoZZZVYbGrOqGWaVWW1ozKpmmFVmVR8wr3VjVplVfVDXfHgVnX1zvUp8fDxWrFiBoqKix+7Dw8MDJiYmyucBAQFwcnKCi4sLQkJCsHr1alRUVAAAfvvtN1RUVCAgIACNGzdWPlauXIlTp05V239eXh6++OILLF++nNc7qie17QdFRUXw8fFRWebj44OTJ0+isrJSq3HS0tLQtm1byOVyAICnpyecnJywdu1aZZtJkyYhNDQU/v7+iIuLU9kvxo8fj9mzZ8PHxweRkZE4duxYjWMVFxfD29tbZdmjz4EHN8uwtLRUPndwcMClS5cAaLa/FhUVoUuXLip9du3aVdNNQqQ15pV5JXFgVplVEgdmlVklcWBWmVUSB2aVWdV3Op9c9/X1Re/evTF9+nT1wQwMIAiCyrJ79+6ptbOwsFB5bmlpicOHDyMtLQ0ODg6YOXMm5HI5rl69ips3bwIAtm7divz8fOWjsLCwxuuu7927F5cuXULr1q1hZGQEIyMjnD17FpMnT1a5/js9vtr2A11KSUnB8ePHlf8djYyMUFhYqHLjiaioKBw/fhz9+vVDVlYW3NzcsGnTJgBAaGgoTp8+jZCQEBQUFKBTp06YP3/+E9X06PX7JRIJFAoFADzW/kpU35jXh5hX0mfM6kPMKukzZvUhZpX0GbP6ELNK+oxZfYhZ1U9G9dFpXFwcPD09lTcjrWJra4sLFy5AEATlN8bz8/M16tPIyAj+/v7w9/dHZGQkmjRpgqysLAQEBMDU1BSlpaXo0aOHRn2FhITA399fZVnv3r0REhKCd999V6M+qG417QcymQzZ2dkqy7KzsyGVSmFoaAjgwZ2U6/qUsaCgALm5udi1axeaNm2qXP7XX3/Bz88PJ06cQPv27QEAUqkUUqkU4eHhCAoKwrJlyzBo0CAAgKOjI8LCwhAWFobp06djyZIlGDdunNp4rq6uOHTokMqyR5/Xxc3Nrc79VSaTYcuWLSrL9u/fr9U4RNpiXtUxr6SPmFV1zCrpI2ZVHbNK+ohZVceskj5iVtUxq/qjXibXPTw8MHLkSMybN09luZ+fHy5fvoyEhAQMHToU27ZtQ2ZmJqysrGrtLz09HadPn4avry9sbGyQkZEBhUIBV1dXWFpaYsqUKQgPD4dCoUC3bt1w7do1ZGdnw8rKCqNGjVLrr1mzZmjWrJnKMmNjY9jb26sFlR5fTfvB5MmT0blzZ8yaNQvDhw9HTk4OvvzySyxYsEDZxtnZGXv27MGIESNgamqK5s2bq/WfkpICb29vlZvbVuncuTNSUlIQHR2NiIgIDB06FG3atMG5c+dw6NAhDBkyBAAwceJE9O3bF1KpFOXl5di5cydkMlm172fcuHHw9fVFUlISAgMDkZWVhczMTK0uLaTJ/hoWFobExEREREQgNDQUeXl5yptxENUX5lUd80r6iFlVx6ySPmJW1TGrpI+YVXXMKukjZlUds6pHdHEB93/eaKBKSUmJYGJiIjw6xNdffy04OjoKFhYWwjvvvCPExMSo3dD00b727t0r9OjRQ7CxsRHMzc2FDh06CGvXrlWuVygUQnJysuDq6ioYGxsLtra2Qu/evYXdu3dr8vYEQeANTXVBm/1g/fr1gpubm2BsbCy0bt1amDt3rsr6nJwcoUOHDoKpqanaawVBEO7cuSM0a9ZMSEhIqLaW+Ph4oUWLFsLt27eFESNGCI6OjoKJiYnQsmVL4T//+Y9w69YtQRAE4T//+Y/Qtm1bwdTUVLC1tRVCQkKEK1euCIKgfsMJQRCExYsXCy+88IJgbm4uDBw4UJg9e7Zgb2+vXK/JTXs12V+///574cUXXxRMTU2F7t27C0uXLuUNJzTErGqGeWVeGxqzqhlmlVltaMyqZphVZrWhMauaYVaZVX3AvNaNWWVW9YGmNzSVCMIjF0GvxuHDh9GxY0fk5eXBy8tLB1P64rN69WoEBwc/19uA1I0ZMwYnTpzA3r17G7oU+n/MKtWEedUvzCrVhFnVL8wq1YRZ1S/MKtWEWdU/zCtVh1nVP5rOh9fLZWGInlWfffYZAgICYGFhgczMTKxYsULl50ZEpD+YVyJxYFaJxIFZJRIHZpVIHJjVZwcn14m0cPDgQSQkJODGjRtwcXHBvHnzEBoa2tBlEVE1mFcicWBWicSBWSUSB2aVSByY1WcHJ9eJtLBu3bqGLoGINMS8EokDs0okDswqkTgwq0TiwKw+OwwaugAiIiIiIiIiIiIiIrHh5DoRERERERERERERkZY4uU5EREREREREREREpCVOrhMRERERERERERERaUmrG5pmZGSgqKiovmrRa9nZ2QCe721AJAbMKpE4MKtE4sCsEokDs0okHswrkTiUlJRo1E4iCIJQV6OcnBx0794dlZWVT1yYmBkYGEChUDR0GURUB4mBBIKizkMbETUwnleJxIFZJRIHZpVIPJhXInEwNDTE3r170bVr1xrbaPTNdVNTU1RWViI1NRUymUxnBYpJRkYGZsyY8VxvAyIxqMpq8KJg2EntGrocIqpB4U+FyIzJ5HmVSM/xb2AicWBWicSDeSUSh6KiIgQHB8PU1LTWdlpdFkYmk8HLy+uJChOrqp/qPM/bgEgMqrJqJ7WDo9yxgashoppc/PUiAJ5XifQd/wYmEgdmlUg8mFeiZwtvaEpEREREREREREREpCVOrhMRERERERERERERaYmT60REREREREREREREWuLkOlENdu3aBYlEgqtXrzZ0KXpVC1F9mdh0Io5tPdbQZQDQr1qIniX6dD7Tp1qI9I0+5UOfaiHSN/qUD32qhUjf6FM+9KmWZ4VOJtdHjx4NiUSCuLg4leWbN2+GRCLRxRA6V1XzPx99+vRp6LJETZf7gbOzM5KTkzVuHxsbC0NDQ8ydO1ercWrz6quvoqysDNbW1jrrk+hZUXKwBOHNw7F4+GKd9RldFA03fzed9Uf0LOC5lUgcmFUicWBWicSBWSUx0dk3183MzBAfH4/y8nJddQkAuHv3rk77+6c+ffqgrKxM+UhLS6u3sZ4X9bUf1GXp0qWYOnUqli5dqrM+TUxMYG9vr7cfEBE1pAOpB9B9THecyjmFa2XXdNKnlZ0VjEyNdNIX0bOE51YicWBWicSBWSUSB2aVxEJnk+v+/v6wt7dHbGxsjW2ioqLg6empsiw5ORnOzs7K56NHj8bAgQMRExODli1bwtXVFQCwYMECtGvXDmZmZrCzs8PQoUOVr1EoFIiNjUWbNm1gbm4OuVyO9evX11mzqakp7O3tlQ8bGxvt3jSp0WQ/AIANGzbA3d0dpqamcHZ2RmJionKdn58fzp49i/DwcOWvCmqze/du3Lp1C9HR0bh+/Tr27dunsv7o0aPo2bMnLC0tYWVlhY4dOyI3NxcAcPbsWQQGBsLGxgYWFhZwd3dHRkYGgOp/KrNkyRI4OjqiUaNGGDRoEJKSktCkSRPl+qp9fNWqVXB2doa1tTVGjBiBGzduKNtosr9mZGRAKpXC3NwcPXv2xJkzZ2rdBkRP052bd3Bk8xH4vOcDtwA3HEw7qFxXcbUCq95fhU/afYKIlhGY3Wk2Dqw+AAC4f/c+1k9dj5mymZjiMAWfdvgU2z/frnzto5diKTlQggTfBExxmILE1xJxbOsxTGw6EecKzgEATv58EhObTsSvu39F4muJiHghAsm9k3Hx5EWVegsyCvCZ32eY4jAFs16ehW3x21B5v1K5/vKpy5jXbx6mOExB7CuxKN5ZXC/bjehx8dzKcyuJA7PKrJI4MKvMKokDs8qsioXOJtcNDQ0xZ84czJ8/H+fOnXuivnbs2IHi4mJs374d6enpyM3Nxfjx4xEdHY3i4mJs27YNvr6+yvaxsbFYuXIlFi5ciOPHjyM8PBzBwcHYvXt3rePs2rULLVq0gKurKz788EP8+eefT1Q3abYf5OXlYdiwYRgxYgQKCgoQFRWFGTNmYPny5QCAjRs3olWrVoiOjlb+qqA2KSkpCAoKgrGxMYKCgpCSkqKyfuTIkWjVqhUOHTqEvLw8TJs2DcbGxgCAsWPH4s6dO9izZw8KCgoQHx+Pxo0bVztOdnY2wsLCMGHCBOTn5yMgIAAxMTFq7U6dOoXNmzcjPT0d6enp2L17t8pPmeraX3///XcMHjwYgYGByM/PR2hoKKZNm1brNiB6mo5sPoIW7VrArp0dOg3rhAOrD0AQBABAxpwMXCi+gA/WfYBp+6fhrc/egkUzCwDAnkV78EvmLxi1dBQ+PvgxQhaHoGnrptWOcfv6bSx5ewlaurXElJ1T0Hd6X3z/6ffVtt06eysGzBqAyTsmw8DIAGvGrVGuO5VzCqs/XA3fD3wxLWcahiUNw8G0g9ie+GBSX6FQYOk7S2FkYoTw7eEYljSsxnGIGgrPrTy3kjgwq8wqiQOzyqySODCrzKpY6PT394MGDYKnpyciIyPVdkBtWFhY4JtvvoGJiQmAB2GwsLDAm2++CUtLSzg5OeHll18GANy5cwdz5szBTz/9hK5duwIAXFxc8PPPP2PRokXo0aNHtWP06dMHgwcPRps2bXDq1Cl8/PHH6Nu3L3JycmBoaPjYtVPd+0FSUhJ69eqFGTNmAACkUikKCwsxd+5cjB49Gk2bNoWhoSEsLS1hb29f61jXr1/H+vXrkZOTAwAIDg5G9+7d8cUXXygPYqWlpYiIiED79u0BAO3atVO+vrS0FEOGDIGHhweAB/tOTebPn4++fftiypQpyrr37duH9PR0lXYKhQLLly+HpaUlACAkJAQ7duxATEyMRvvr119/jbZt2yo/bXV1dVUemIn0wYHUA+j0VicAQPte7XHr+i38lv0b2nVrh/Jz5XjB4wW0frk1AKBZ62bK15WfL4dtW1u4vOICiUSCpo7VT6wDQN6GPEgkEgxPHg5jM2PYt7fHtbJrWDtxrVrbfv/thxd9XgQA+E/0x+Lhi3Hv9j0Ymxnjh4Qf0GtiL3gHeQMAmjs3xxsfv4EtUVvQ56M++HXXr7h48iLC1ofB2sFa2d+iYYt0s7GIdITnVp5bSRyYVWaVxIFZZVZJHJhVZlUMdPbN9Srx8fFYsWIFioqKHrsPDw8P5cQ6AAQEBMDJyQkuLi4ICQnB6tWrUVFRAQD47bffUFFRgYCAADRu3Fj5WLlyJU6dOlXjGCNGjED//v3h4eGBgQMHIj09HYcOHcKuXbseu256qLb9oKioCD4+PirLfHx8cPLkSVRWVqq1r01aWhratm0LuVwOAPD09ISTkxPWrn04ATdp0iSEhobC398fcXFxKvvF+PHjMXv2bPj4+CAyMhLHjh1TG6NKcXExvL29VZY9+hx4cLOMqgMfADg4OODSpUsANNtfi4qK0KVLF5U+qw6URA3t4smLOHv4LLyGeAEADI0M8fKgl3Eg9cGlX3ze9cGRTUeQ4JuALZFbUHKgRPla7yBvnC84jznec7Bh2gacyDpR4ziXTl5CS/eWMDYzVi5z6uhUbduW7i2V/7ayswIA3LxyEwBw/pfz+HHuj5jqOFX5WDtxLa5fuI67FXdx8deLsHnBRjmxDgDO3s5abhWip4PnVp5bSRyYVWaVxIFZZVZJHJhVZlXf6Xxy3dfXF71798b06dPVBzMwUF46oMq9e/fU2llYWKg8t7S0xOHDh5GWlgYHBwfMnDkTcrkcV69exc2bDyZQtm7divz8fOWjsLBQo+uuV3FxcUHz5s3x22+/afwaqllt+4EupaSk4Pjx4zAyMlI+CgsLVW48ERUVhePHj6Nfv37IysqCm5sbNm3aBAAIDQ3F6dOnERISgoKCAnTq1Anz589/opqqfhJURSKRQKFQAIDO9leihnIg9QAU9xWIdIvEJNtJmGQ7CdlLs3H0+6O4df0W3ALcEHk0En4f+uHahWtYMGgB/jfjfwAAR7kjZh6Zib7T++LerXtY/t5yLBu17IlrMjD+x6ns/y+hV5W5u3/fRZ9pfRCxO0L5mPrzVHyS+wmMzHjzVBIXnlsf4rmV9Bmz+hCzSvqMWX2IWSV9xqw+xKzqp3qZWYiLi4Onp6fyZqRVbG1tceHCBQiCoLyJQH5+vkZ9GhkZwd/fH/7+/oiMjESTJk2QlZWFgIAAmJqaorS0tMZLwGji3Llz+PPPP+Hg4PDYfZCqmvYDmUyG7OxslWXZ2dmQSqXKS/KYmJjU+SljQUEBcnNzsWvXLjRt+vDyEn/99Rf8/Pxw4sQJ5U91pFIppFIpwsPDERQUhGXLlmHQoEEAAEdHR4SFhSEsLAzTp0/HkiVLMG7cOLXxXF1dcejQIZVljz6vi5ubW537q0wmw5YtW1SW7d+/X6txiOpD5f1KHFp7CANmDUD7nu1V1qWEpODwhsPwedcHjZs3hneQN7yDvJHdNRtbZm7BgFkDAABmVmbwGuwFr8FekPeXY9Fbi/B3+d+wsFH9ULVFuxbI/S4X9+/ch5Hpg1NV6eFSrWtu1aEVLp28BFsX22rX20ntUH6+HNcuXIO1/YNvr585dEbrcYieFp5b1fHcSvqIWVXHrJI+YlbVMaukj5hVdcyq/qiXyXUPDw+MHDkS8+bNU1nu5+eHy5cvIyEhAUOHDsW2bduQmZkJKyurWvtLT0/H6dOn4evrCxsbG2RkZEChUMDV1RWWlpaYMmUKwsPDoVAo0K1bN1y7dg3Z2dmwsrLCqFGj1Pq7efMmPv30UwwZMgT29vY4deoUpk6dihdffBG9e/fW6bZ4ntW0H0yePBmdO3fGrFmzMHz4cOTk5ODLL7/EggULlG2cnZ2xZ88ejBgxAqampmjevLla/ykpKfD29la5uW2Vzp07IyUlBdHR0YiIiMDQoUPRpk0bnDt3DocOHcKQIUMAABMnTkTfvn0hlUpRXl6OnTt3QiaTVft+xo0bB19fXyQlJSEwMBBZWVnIzMys827T/6TJ/hoWFobExEREREQgNDQUeXl5yptxEDWk4z8cR8XVCrwS8grMrcxV1nUI7ID9qftxrewaHD0dYd/eHvfv3EfhD4Wwk9oBAHZ+tRNW9lZo5dEKEgMJjv7vKKzsrGBuba42VschHbF19lasDV+LXhN6ofxcObK+zAIArTL3esTrWBK0BDatbCDvL4fEQII/fvkDZSfK0O+TfpD6SdGibQt8++9v0T+6P27fuI2MmIwn2EpE9YvnVnU8t5I+YlbVMaukj5hVdcwq6SNmVR2zqj90flmYKtHR0cqfKlSRyWRYsGABvvrqK8jlchw8eFB58f7aNGnSBBs3bsRrr70GmUyGhQsXIi0tDe7u7gCAWbNmYcaMGYiNjYVMJkOfPn2wdetWtGnTptr+DA0NcezYMfTv3x9SqRT/+te/0LFjR+zduxempqZP/uZJqbr9wMvLC+vWrcOaNWvw0ksvYebMmYiOjsbo0aNVXnfmzBm0bdsWtrbq3zi9e/cuUlNTlQexRw0ZMgQrV66EgYEB/vzzT7zzzjuQSqUYNmwY+vbti08//RQAUFlZibFjxyr3G6lUqnIQ/icfHx8sXLgQSUlJkMvl2LZtG8LDw2FmZqbVNqlrf23dujU2bNiAzZs3Qy6XY+HChZgzZ45WYxDVhwOpB+Daw1VtYh0A5IFy/H7kdxgYGSA9Oh0J3RMw/835kBhKMCrlwYecZo3NkDUvC4m9EpHUKwl//f4X3l/7PgwM1E9FZlZmGPPtGJwvOI+5PeYiIyYDvac++PCz6pvsmpD1kmFM2hgU7yxGkn8Skl9Pxq6vd6FpqwffRjAwMMB7q97Dvdv3kOSfhDUT1uCNT954nM1D9NTw3KqO51bSR8yqOmaV9BGzqo5ZJX3ErKpjVvWDRHj0IujVOHz4MDp27Ii8vDx4eXk9jbr0zurVqxEcHPxcbwNSN2bMGJw4cQJ79+5t6FLo/1VldfLOyXCUOzZ0OaRDud/lIu0/aYg9EwsTc5O6X0B6Lfe7XKR+kMrzKqnhuVW/8G9gqgmzql+YVaoJs6p/mFeqDrOqfzSdD+fd3Ii08NlnnyEgIAAWFhbIzMzEihUravwkkoiezME1B9HcuTmsHaxx/pfz+D7qe3gO9OTEOtEzhudWInFgVonEgVklEgdm9dnByXUiLRw8eBAJCQm4ceMGXFxcMG/ePISGhjZ0WUTPpBuXbiAzNhM3Lt2AlZ0VPAd4ot9/+zV0WUSkYzy3EokDs0okDswqkTgwq88OTq4TaWHdunUNXQLRc6PX+F7oNb5XQ5dBRPWM51YicWBWicSBWSUSB2b12VFvNzQlIiIiIiIiIiIiInpWcXKdiIiIiIiIiIiIiEhLnFwnIiIiIiIiIiIiItISJ9eJiIiIiIiIiIiIiLSk1Q1NMzIyUFRUVF+16LXs7GwAz/c2IBKDqqwW/lSIi79ebOBqiKgmpw+cBsDzKpG+49/AROLArBKJB/NKJA4lJSUatZMIgiDU1SgnJwfdu3dHZWXlExcmZgYGBlAoFA1dBhHVQWIggaCo89BGRA2M51UicWBWicSBWSUSD+aVSBwMDQ2xd+9edO3atcY2Gn1z3dTUFJWVlUhNTYVMJtNZgWKSkZGBGTNmPNfbgEgMqrIavCgYdlK7hi6HiGpQ+FMhMmMyeV4l0nP8G5hIHJhVIvFgXonEoaioCMHBwTA1Na21nVaXhZHJZPDy8nqiwsSq6qc6z/M2IBKDqqzaSe3gKHds4GqIqCZVl23ieZVIv/FvYCJxYFaJxIN5JXq28IamRERERERERERERERa4uQ6EREREREREREREZGWOLlOVINdu3ZBIpHg6tWrDV2KXtVCVF8mNp2IY1uPNXQZAPSrFqJniT6dz/SpFiJ9o0/50KdaiPSNPuVDn2oh0jf6lA99quVZoZPJ9dGjR0MikSAuLk5l+ebNmyGRSHQxRL0oKipC//79YW1tDQsLC3Tu3BmlpaUNXZZo6XI/cHZ2RnJyssbtY2NjYWhoiLlz52o1Tm1effVVlJWVwdraWmd9Ej0rSg6WILx5OBYPX6yzPqOLouHm76az/oieBTy3EokDs0okDswqkTgwqyQmOvvmupmZGeLj41FeXq6rLgEAd+/e1Wl/VU6dOoVu3bqhffv22LVrF44dO4YZM2bAzMysXsZ7XtTXflCXpUuXYurUqVi6dKnO+jQxMYG9vb1ef0BE1FAOpB5A9zHdcSrnFK6VXdNJn1Z2VjAy1eo+20TPBZ5bicSBWSUSB2aVSByYVRILnU2u+/v7w97eHrGxsTW2iYqKgqenp8qy5ORkODs7K5+PHj0aAwcORExMDFq2bAlXV1cAwIIFC9CuXTuYmZnBzs4OQ4cOVb5GoVAgNjYWbdq0gbm5OeRyOdavX19rvZ988gneeOMNJCQk4OWXX0bbtm3Rv39/tGjRQvs3T0qa7AcAsGHDBri7u8PU1BTOzs5ITExUrvPz88PZs2cRHh4OiURS58Fn9+7duHXrFqKjo3H9+nXs27dPZf3Ro0fRs2dPWFpawsrKCh07dkRubi4A4OzZswgMDISNjQ0sLCzg7u6OjIwMANX/VGbJkiVwdHREo0aNMGjQICQlJaFJkybK9VX7+KpVq+Ds7Axra2uMGDECN27cULbRZH/NyMiAVCqFubk5evbsiTNnztS6DYiepjs37+DI5iPwec8HbgFuOJh2ULmu4moFVr2/Cp+0+wQRLSMwu9NsHFh9AABw/+59rJ+6HjNlMzHFYQo+7fAptn++XfnaRy/FUnKgBAm+CZjiMAWJryXi2NZjmNh0Is4VnAMAnPz5JCY2nYhfd/+KxNcSEfFCBJJ7J+PiyYsq9RZkFOAzv88wxWEKZr08C9vit6HyfqVy/eVTlzGv3zxMcZiC2FdiUbyzuF62G9Hj4rmV51YSB2aVWSVxYFaZVRIHZpVZFQudTa4bGhpizpw5mD9/Ps6dO/dEfe3YsQPFxcXYvn070tPTkZubi/HjxyM6OhrFxcXYtm0bfH19le1jY2OxcuVKLFy4EMePH0d4eDiCg4Oxe/fuavtXKBTYunUrpFIpevfujRYtWqBLly7YvHnzE9VNmu0HeXl5GDZsGEaMGIGCggJERUVhxowZWL58OQBg48aNaNWqFaKjo1FWVoaysrJax0xJSUFQUBCMjY0RFBSElJQUlfUjR45Eq1atcOjQIeTl5WHatGkwNjYGAIwdOxZ37tzBnj17UFBQgPj4eDRu3LjacbKzsxEWFoYJEyYgPz8fAQEBiImJUWt36tQpbN68Genp6UhPT8fu3btVfspU1/76+++/Y/DgwQgMDER+fj5CQ0Mxbdq0WrcB0dN0ZPMRtGjXAnbt7NBpWCccWH0AgiAAADLmZOBC8QV8sO4DTNs/DW999hYsmlkAAPYs2oNfMn/BqKWj8PHBjxGyOARNWzetdozb129jydtL0NKtJabsnIK+0/vi+0+/r7bt1tlbMWDWAEzeMRkGRgZYM26Nct2pnFNY/eFq+H7gi2k50zAsaRgOph3E9sQHk/oKhQJL31kKIxMjhG8Px7CkYTWOQ9RQeG7luZXEgVllVkkcmFVmlcSBWWVWxUKnv78fNGgQPD09ERkZqbYDasPCwgLffPMNTExMADwIg4WFBd58801YWlrCyckJL7/8MgDgzp07mDNnDn766Sd07doVAODi4oKff/4ZixYtQo8ePdT6v3TpEm7evIm4uDjMnj0b8fHx2LZtGwYPHoydO3dW+xrSXF37QVJSEnr16oUZM2YAAKRSKQoLCzF37lyMHj0aTZs2haGhISwtLWFvb1/rWNevX8f69euRk5MDAAgODkb37t3xxRdfKA9ipaWliIiIQPv27QEA7dq1U76+tLQUQ4YMgYeHB4AH+05N5s+fj759+2LKlCnKuvft24f09HSVdgqFAsuXL4elpSUAICQkBDt27EBMTIxG++vXX3+Ntm3bKj9tdXV1VR6YifTBgdQD6PRWJwBA+17tcev6LfyW/RvadWuH8nPleMHjBbR+uTUAoFnrZsrXlZ8vh21bW7i84gKJRIKmjtVPrANA3oY8SCQSDE8eDmMzY9i3t8e1smtYO3GtWtt+/+2HF31eBAD4T/TH4uGLce/2PRibGeOHhB/Qa2IveAd5AwCaOzfHGx+/gS1RW9Dnoz74ddevuHjyIsLWh8HawVrZ36Jhi3SzsYh0hOdWnltJHJhVZpXEgVllVkkcmFVmVQx09s31KvHx8VixYgWKiooeuw8PDw/lxDoABAQEwMnJCS4uLggJCcHq1atRUVEBAPjtt99QUVGBgIAANG7cWPlYuXIlTp06VW3/CoUCADBgwACEh4fD09MT06ZNw5tvvomFCxc+dt30UG37QVFREXx8fFSW+fj44OTJk6isrFRrX5u0tDS0bdsWcrkcAODp6QknJyesXftwAm7SpEkIDQ2Fv78/4uLiVPaL8ePHY/bs2fDx8UFkZCSOHTumNkaV4uJieHt7qyx79Dnw4GYZVQc+AHBwcMClS5cAaLa/FhUVoUuXLip9Vh0oiRraxZMXcfbwWXgN8QIAGBoZ4uVBL+NA6oNLv/i864Mjm44gwTcBWyK3oORAifK13kHeOF9wHnO852DDtA04kXWixnEunbyElu4tYWxmrFzm1NGp2rYt3Vsq/21lZwUAuHnlJgDg/C/n8ePcHzHVcarysXbiWly/cB13K+7i4q8XYfOCjXJiHQCcvZ213CpETwfPrTy3kjgwq8wqiQOzyqySODCrzKq+0/nkuq+vL3r37o3p06erD2ZgoLx0QJV79+6ptbOwsFB5bmlpicOHDyMtLQ0ODg6YOXMm5HI5rl69ips3H0ygbN26Ffn5+cpHYWFhjdddb968OYyMjODm5qayXCaTobS0VKv3S9WrbT/QpZSUFBw/fhxGRkbKR2FhocqNJ6KionD8+HH069cPWVlZcHNzw6ZNmwAAoaGhOH36NEJCQlBQUIBOnTph/vz5T1RT1U+CqkgkEuUHOo+zvxLpkwOpB6C4r0CkWyQm2U7CJNtJyF6ajaPfH8Wt67fgFuCGyKOR8PvQD9cuXMOCQQvwvxn/AwA4yh0x88hM9J3eF/du3cPy95Zj2ahlT1yTgfE/TmX/fwm9qszd/fsu+kzrg4jdEcrH1J+n4pPcT2Bkxpunkrjw3PoQz62kz5jVh5hV0mfM6kPMKukzZvUhZlU/1cvMQlxcHDw9PZU3I61ia2uLCxcuQBAE5U0E8vPzNerTyMgI/v7+8Pf3R2RkJJo0aYKsrCwEBATA1NQUpaWlGl/OxcTEBJ07d0ZxsepN63799Vc4OVX/zUjSXk37gUwmQ3Z2tsqy7OxsSKVSGBoaAnjw36iuTxkLCgqQm5uLXbt2oWnTh5eX+Ouvv+Dn54cTJ04of6ojlUohlUoRHh6OoKAgLFu2DIMGDQIAODo6IiwsDGFhYZg+fTqWLFmCcePGqY3n6uqKQ4cOqSx79Hld3Nzc6txfZTIZtmzZorJs//79Wo1DVB8q71fi0NpDGDBrANr3bK+yLiUkBYc3HIbPuz5o3LwxvIO84R3kjeyu2dgycwsGzBoAADCzMoPXYC94DfaCvL8ci95ahL/L/4aFjeqHqi3atUDud7m4f+c+jEwfnKpKD2v/4WerDq1w6eQl2LrYVrveTmqH8vPluHbhGqztH3x7/cyhM1qPQ/S08NyqjudW0kfMqjpmlfQRs6qOWSV9xKyqY1b1R71Mrnt4eGDkyJGYN2+eynI/Pz9cvnwZCQkJGDp0KLZt24bMzExYWVnV2l96ejpOnz4NX19f2NjYICMjAwqFAq6urrC0tMSUKVMQHh4OhUKBbt264dq1a8jOzoaVlRVGjRpVbZ8REREYPnw4fH190bNnT2zbtg3ff/89du3apavN8NyraT+YPHkyOnfujFmzZmH48OHIycnBl19+iQULFijbODs7Y8+ePRgxYgRMTU3RvHlztf5TUlLg7e2tcnPbKp07d0ZKSgqio6MRERGBoUOHok2bNjh37hwOHTqEIUOGAAAmTpyIvn37QiqVory8HDt37oRMJqv2/YwbNw6+vr5ISkpCYGAgsrKykJmZWefdpv9Jk/01LCwMiYmJiIiIQGhoKPLy8pQ34yBqSMd/OI6KqxV4JeQVmFuZq6zrENgB+1P341rZNTh6OsK+vT3u37mPwh8KYSe1AwDs/GonrOyt0MqjFSQGEhz931FY2VnB3NpcbayOQzpi6+ytWBu+Fr0m9EL5uXJkfZkFAFpl7vWI17EkaAlsWtlA3l8OiYEEf/zyB8pOlKHfJ/0g9ZOiRdsW+Pbf36J/dH/cvnEbGTEZT7CViOoXz63qeG4lfcSsqmNWSR8xq+qYVdJHzKo6ZlV/6PyyMFWio6OVP1WoIpPJsGDBAnz11VeQy+U4ePCg8uL9tWnSpAk2btyI1157DTKZDAsXLkRaWhrc3d0BALNmzcKMGTMQGxsLmUyGPn36YOvWrWjTpk2NfQ4aNAgLFy5EQkICPDw88M0332DDhg3o1q3bk71xUlHdfuDl5YV169ZhzZo1eOmllzBz5kxER0dj9OjRKq87c+YM2rZtC1tb9W+c3r17F6mpqcqD2KOGDBmClStXwsDAAH/++SfeeecdSKVSDBs2DH379sWnn34KAKisrMTYsWOV+41UKlU5CP+Tj48PFi5ciKSkJMjlcmzbtg3h4eEwMzPTapvUtb+2bt0aGzZswObNmyGXy7Fw4ULMmTNHqzGI6sOB1ANw7eGqNrEOAPJAOX4/8jsMjAyQHp2OhO4JmP/mfEgMJRiV8uBDTrPGZsial4XEXolI6pWEv37/C++vfR8GBuqnIjMrM4z5dgzOF5zH3B5zkRGTgd5TewOA8pvsmpD1kmFM2hgU7yxGkn8Skl9Pxq6vd6FpqwffRjAwMMB7q97Dvdv3kOSfhDUT1uCNT954nM1D9NTw3KqO51bSR8yqOmaV9BGzqo5ZJX3ErKpjVvWDRHj0IujVOHz4MDp27Ii8vDx4eXk9jbr0zurVqxEcHPxcbwNSN2bMGJw4cQJ79+5t6FLo/1VldfLOyXCUOzZ0OaRDud/lIu0/aYg9EwsTc5O6X0B6Lfe7XKR+kMrzKqnhuVW/8G9gqgmzql+YVaoJs6p/mFeqDrOqfzSdD+fd3Ii08NlnnyEgIAAWFhbIzMzEihUravwkkoiezME1B9HcuTmsHaxx/pfz+D7qe3gO9OTEOtEzhudWInFgVonEgVklEgdm9dnByXUiLRw8eBAJCQm4ceMGXFxcMG/ePISGhjZ0WUTPpBuXbiAzNhM3Lt2AlZ0VPAd4ot9/+zV0WUSkYzy3EokDs0okDswqkTgwq88OTq4TaWHdunUNXQLRc6PX+F7oNb5XQ5dBRPWM51YicWBWicSBWSUSB2b12VFvNzQlIiIiIiIiIiIiInpWcXKdiIiIiIiIiIiIiEhLnFwnIiIiIiIiIiIiItISJ9eJiIiIiIiIiIiIiLSk1Q1Ni4qK6qsOvVdSUgLg+d4GRGJQldWLv15s4EqIqDZ/lv4JgOdVIn3Hv4GJxIFZJRIP5pVIHDTNqEQQBKGuRqWlpZDJZKioqHjiwsTM0NAQlZWVDV0GEdVBYiCBoKjz0EZEDczA0ACKSkVDl0FEdeDfwETiwKwSiQfzSiQOjRo1QlFREVq3bl1jG40m14EHE+xXrlzRWXFidOfOHZiamjZ0GURUB2aVSByYVSJxYFaJxIFZJRIP5pVIHJo3b17rxDqgxeQ6ERERERERERERERE9wBuaEhERERERERERERFpiZPrRERERERERERERERa4uQ6EREREREREREREZGWOLlORERERERERERERKQlTq4TEREREREREREREWmJk+tERERERERERERERFri5DoRERERERERERERkZY4uU5EREREREREREREpCVOrhMRERERERERERERaYmT60REREREREREREREWuLkOhERERERERERERGRlji5TkRERERERERERESkJU6uExERERERERERERFpiZPrRERERERERERERERa4uQ6EREREREREREREZGWOLlORERERERERERERKSl/wPnm0j8fQO/JgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query50: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query51: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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XlW2cnJyETz75ROV1crlciImJEQRBEMrKygQAwtGjR5Xrra2thRUrViif37lzRxg+fLjQqlUrAYDKuketX79ekEqlgomJieDu7i5s27ZNo/dOgpCens6saoBZPapc/7hZre3r0Uffvn01ev/POmZVc8zrUeX6x82rk5NTnXmtHYvqx6xqrrmzumvXrjr38zFjxtT7mqVLlwr9+vUTbG1tBRMTE6Fjx47C2LFjhbNnzyrb9O3bV5g4caLK64YMGaLSLwBh8+bNyud/znKt8PBwoU2bNo1mb9euXYKnp6dgYmIiuLi4NPiZmR5iVjXHrG5WPn+SrNb1HpycnBp9/8S8aopZ3ax8/rhZ7du3r9bvgR7SdC5YIgiC8DiT8s+aI0eOoHv37igoKICXl1dzl/NM+eqrrxAREYFff/0VJiYmzV0O6bk1a9YgJCSEWW0GzCppg1ltXswraYpZbV7MKmmKWW1ezCppg3ltPswqaUPTuWBeFob0VlVVFSoqKjB37ly8//77PPAR6SlmlUg8mFcicWBWicSBWSUSB2aVmhJvaEp6KykpCV27doW9vT2mT5/e3OUQUT2YVSLxYF6JxIFZJRIHZpVIHJhVakqcXCe9FRsbi3v37mHnzp282RiRHmNWicSDeSUSB2aVSByYVSJxYFapKXFynYiIiIiIiIiIiIhIS5xcJyIiIiIiIiIiIiLSEifXiYiIiIiIiIiIiIi0ZKRpw/Lycly9erUpa9FrJSUlAICsrCzlv4lI/+Tm5gJgVon0HbNKJA7MKpE4MKtE4sG8EolDWVmZRu0kgiAIjTUqLy+HTCZDVVXVExcmZgYGBlAoFM1dBhE1glklEgdmlUgcmFUicWBWicSDeSUSB0NDQ+zbtw+9e/eut41G31y/evUqqqqqkJ6eDplMprMCxSQrKwvR0dHP9DYgEgNmlUgcmFUicWBWicSBWSUSD+aVSBxKSkoQEhICU1PTBttpfFkYAJDJZPDy8nqiwsSq9qc6z/I2IBIDZpVIHJhVInFgVonEgVklEg/mlejpwhuaEhERERERERERERFpiZPrRERERERERERERERa4uQ6EREREREREREREZGWOLlOVI/du3dDIpHg2rVrzV2KXtVCpI/0KSP6VAuRvtGnfOhTLUT6Rp/yoU+1EOkbfcqHPtVCpG/0KR/6VMvTQieT62PHjoVEIsHcuXNVlm/ZsgUSiUQXQ+jcpk2b8Nprr6FNmzaQSCQoLCxs7pJET5f7gbOzM1JTUzVun5CQAENDQ8ybN0+rcRry8ssvo6KiAtbW1jrrk0hfMK9E4sCsEokDs0okDswqkTgwqyQmOvvmupmZGRITE1FZWamrLgEAd+/e1Wl/tf744w+88sorSExMbJL+n1VNtR80Zvny5Zg6dSqWL1+usz5NTExgb2+vt38gInpSzCuRODCrROLArBKJA7NKJA7MKomFzibX/f39YW9vj4SEhHrbxMbGwtPTU2VZamoqnJ2dlc/Hjh2LoUOHIj4+Hu3bt4erqysAYNGiRejSpQvMzMxgZ2eHESNGKF+jUCiQkJCATp06wdzcHHK5HBs2bGiw3tDQUMyYMQP+/v7av1mqlyb7AQBs3LgR7u7uMDU1hbOzM5KTk5Xr/Pz8cO7cOUREREAikTR68NmzZw9u376NuLg43LhxA/v371dZf+zYMfTr1w+WlpawsrJC9+7dkZ+fDwA4d+4cAgMDYWNjAwsLC7i7uyMrKwtA3T+VWbZsGRwdHdGiRQsMGzYMKSkpaNWqlXJ97T7+1VdfwdnZGdbW1hg1ahRu3rypbKPJ/pqVlQWpVApzc3P069cPZ8+ebXAbED0O5pV5JXFgVplVEgdmlVklcWBWmVUSB2aVWRULnU2uGxoaYs6cOVi4cCHOnz//RH3t3LkTpaWl2LFjBzIzM5Gfn48JEyYgLi4OpaWl2L59O3x9fZXtExISsHr1aixevBgnTpxAREQEQkJCsGfPnid9W6QlTfaDgoICBAUFYdSoUSgqKkJsbCyio6OxcuVKAA8u2dOhQwfExcWhoqICFRUVDY6ZlpaG4OBgGBsbIzg4GGlpaSrrR48ejQ4dOuDw4cMoKCjAtGnTYGxsDAD44IMPUF1djb1796KoqAiJiYlo2bJlnePk5uYiPDwcEydORGFhIQICAhAfH6/W7vTp09iyZQsyMzORmZmJPXv2qPyUqbH99ZdffsFbb72FwMBAFBYWIiwsDNOmTWtwGxA9DuaVeSVxYFaZVRIHZpVZJXFgVplVEgdmlVkVDUEDBQUFAgChoKCgzvVjxowRhgwZIgiCILz00kvCe++9JwiCIGzevFn48xAxMTGCXC5Xee0nn3wiODk5qfRlZ2cnVFdXK5dt3LhRsLKyEm7cuKE29p07d4QWLVoI+/fvV1n+97//XQgODm70vZWVlQkAhKNHjzbYLj09vcFtQJrvB3/729+EgIAAlddGRUUJbm5uyudOTk7CJ5980uiY169fF8zNzYXCwkJBEATh6NGjQsuWLYWbN28q21haWgorV66s8/UeHh5CbGxsnet27dolABAqKysFQRCEkSNHCoMHD1ZpM3r0aMHa2lr5PCYmRmjRooXKvhoVFSX06tVLEATN9tfp06erbAtBEIQPP/xQpRaqH7OqGeaVeW1uzKpmmFVmtbkxq5phVpnV5sasaoZZZVb1AfPaOGaVWdUHjc2H19LZN9drJSYmYtWqVSgpKXnsPjw8PGBiYqJ8HhAQACcnJ7i4uCA0NBRr1qxBVVUVAODnn39GVVUVAgIC0LJlS+Vj9erVOH369BO/H3o8De0HJSUl8PHxUVnm4+ODU6dOoaamRqtxMjIy0LlzZ8jlcgCAp6cnnJycsG7dOmWbyZMnIywsDP7+/pg7d67KfjFhwgTMnj0bPj4+iImJwfHjx+sdq7S0FN7e3irLHn0OPLhZhqWlpfK5g4MDLl++DECz/bWkpAS9evVS6bN3796abhIirTGvzCuJA7PKrJI4MKvMKokDs8qskjgwq8yqvtP55Lqvry8GDBiA6dOnqw9mYABBEFSW3bt3T62dhYWFynNLS0scOXIEGRkZcHBwwIwZMyCXy3Ht2jXcunULALBt2zYUFhYqH8XFxY1ed52aTkP7gS6lpaXhxIkTMDIyUj6Ki4tVbjwRGxuLEydOYPDgwcjJyYGbmxs2b94MAAgLC8OZM2cQGhqKoqIi9OjRAwsXLnyimmp/ElRLIpFAoVAAAPdX0kvM60PMK+kzZvUhZpX0GbP6ELNK+oxZfYhZJX3GrD7ErOono6bodO7cufD09FTejLSWra0tLl68CEEQlDcRKCws1KhPIyMj+Pv7w9/fHzExMWjVqhVycnIQEBAAU1NTlJeXo2/fvrp+K/QE6tsPZDIZcnNzVZbl5uZCKpXC0NAQwIM7KTf2V8aioiLk5+dj9+7daN26tXL577//Dj8/P5w8eRJdu3YFAEilUkilUkRERCA4OBgrVqzAsGHDAACOjo4IDw9HeHg4pk+fjmXLlmH8+PFq47m6uuLw4cMqyx593hg3N7dG91eZTIatW7eqLDtw4IBW4xBpi3lVx7ySPmJW1TGrpI+YVXXMKukjZlUds0r6iFlVx6zqjyaZXPfw8MDo0aOxYMECleV+fn64cuUKkpKSMGLECGzfvh3Z2dmwsrJqsL/MzEycOXMGvr6+sLGxQVZWFhQKBVxdXWFpaYnIyEhERERAoVDglVdewfXr15GbmwsrKyuMGTOmzj5///13lJeX49dffwXw4CcZAGBvbw97e3sdbAWqbz+YMmUKevbsiVmzZmHkyJHIy8vDZ599hkWLFinbODs7Y+/evRg1ahRMTU3Rtm1btf7T0tLg7e2tcnPbWj179kRaWhri4uIQFRWFESNGoFOnTjh//jwOHz6M4cOHAwAmTZqEQYMGQSqVorKyErt27YJMJqvz/YwfPx6+vr5ISUlBYGAgcnJykJ2d3ejdpv9Mk/01PDwcycnJiIqKQlhYGAoKCpQ34yBqKsyrOuaV9BGzqo5ZJX3ErKpjVkkfMavqmFXSR8yqOmZVj+jiAu5/vtFArbKyMsHExER4dIgvvvhCcHR0FCwsLIR33nlHiI+PV7uh6aN97du3T+jbt69gY2MjmJubC926dRPWrVunXK9QKITU1FTB1dVVMDY2FmxtbYUBAwYIe/bsqfc9rVixQgCg9oiJiamzPW840Tht9oMNGzYIbm5ugrGxsdCxY0dh3rx5Kuvz8vKEbt26CaampmqvFQRBqK6uFtq0aSMkJSXVWUtiYqLQrl074c6dO8KoUaMER0dHwcTERGjfvr3w73//W7h9+7YgCILw73//W+jcubNgamoq2NraCqGhocLVq1cFQVC/4YQgCMLSpUuF5557TjA3NxeGDh0qzJ49W7C3t1eu1+SmvZrsr99++63w/PPPC6ampkKfPn2E5cuX84YTGmJWNcO8Mq/NjVnVDLPKrDY3ZlUzzCqz2tyYVc0wq8yqPmBeG8esMqv6QNMbmkoE4ZGLoNfhyJEj6N69OwoKCuDl5fVks/kitWbNGoSEhDzT24DUjRs3DidPnsS+ffuauxT6f8wq1Yd51S/MKtWHWdUvzCrVh1nVL8wq1YdZ1T/MK9WFWdU/ms6HN8llYYieVvPnz0dAQAAsLCyQnZ2NVatWqfzciIj0B/NKJA7MKpE4MKtE4sCsEokDs/r04OQ6kRYOHTqEpKQk3Lx5Ey4uLliwYAHCwsKauywiqgPzSiQOzCqRODCrROLArBKJA7P69ODkOpEW1q9f39wlEJGGmFcicWBWicSBWSUSB2aVSByY1aeHQXMXQEREREREREREREQkNpxcJyIiIiIiIiIiIiLSEifXiYiIiIiIiIiIiIi0xMl1IiIiIiIiIiIiIiItaXVD06ysLJSUlDRVLXotNzcXwLO9DYjEgFklEgdmlUgcmFUicWBWicSDeSUSh7KyMo3aSQRBEBprlJeXhz59+qCmpuaJCxMziYEEgqLRzUVEzczAwAAKhaK5yyCiRjCrROLArBKJA7NKJB7MK5E4GBoaYt++fejdu3e9bTT65rqpqSlqamqQnp4OmUymswLFJCsrC9HR0QhZEgI7qV1zl0NE9Sj+vhjZ8dnP9PGKSAxqz6vMKpF+Y1aJxIFZJRIP5pVIHEpKShASEgJTU9MG22l1WRiZTAYvL68nKkysan+qYye1g6PcsZmrIaL6XPrpEoBn+3hFJAa151VmlUi/MatE4sCsEokH80r0dOENTYmIiIiIiIiIiIiItMTJdSIiIiIiIiIiIiIiLXFynYiIiIiIiIiIiIhIS5xcp6fepNaTcHzb8eYuA4B+1UL0NNm9ezckEgmuXbvW3KXoVS1E+kaf8qFPtRDpG33Khz7VQqRv9Ckf+lQLkb7Rp3zoUy1PC51Mro8dOxYSiQRz585VWb5lyxZIJBJdDKFT9+7dw4cffggPDw9YWFigffv2eOedd/Drr782d2nPvLJDZYhoG4GlI5fqrM+4kji4+bvprD+ip4Euj9vOzs5ITU3VuH1CQgIMDQ0xb948rcZpyMsvv4yKigpYW1vrrE8ifcCsEokDs0okDswqkTgwqyQmOvvmupmZGRITE1FZWamrLgEAd+/e1Wl/AFBVVYUjR44gOjoaR44cwaZNm1BaWoo333xT52ORdg6mH0SfcX1wOu80rldc10mfVnZWMDI10klfRE+TpjpuN2b58uWYOnUqli9frrM+TUxMYG9vr5d/0CV6UswqkTgwq0TiwKwSiQOzSmKhs8l1f39/2NvbIyEhod42sbGx8PT0VFmWmpoKZ2dn5fOxY8di6NChiI+PR/v27eHq6goAWLRoEbp06QIzMzPY2dlhxIgRytcoFAokJCSgU6dOMDc3h1wux4YNG+qtw9raGjt27EBQUBBcXV3x0ksv4bPPPkNBQQHKy8sfbwPQE6u+VY2jW47C5z0fuAW44VDGIeW6qmtV+OofX+HjLh8jqn0UZveYjYNrDgIA7t+9jw1TN2CGbAYiHSIxs9tM7Phkh/K1j16KpexgGZJ8kxDpEInkV5NxfNtxTGo9CeeLzgMATv1wCpNaT8JPe35C8qvJiHouCqkDUnHp1CWVeouyijDfbz4iHSIx68VZ2J64HTX3a5Trr5y+ggWDFyDSIRIJLyWgdFdpk2w3oselyXEbADZu3Ah3d3eYmprC2dkZycnJynV+fn44d+4cIiIiIJFIGv2wsGfPHty+fRtxcXG4ceMG9u/fr7L+2LFj6NevHywtLWFlZYXu3bsjPz8fAHDu3DkEBgbCxsYGFhYWcHd3R1ZWFoC6f9q2bNkyODo6okWLFhg2bBhSUlLQqlUr5frac9JXX30FZ2dnWFtbY9SoUbh586ayjSbnl6ysLEilUpibm6Nfv344e/Zsg9uASFvMKrNK4sCsMqskDswqs0riwKwyq2Khs8l1Q0NDzJkzBwsXLsT58+efqK+dO3eitLQUO3bsQGZmJvLz8zFhwgTExcWhtLQU27dvh6+vr7J9QkICVq9ejcWLF+PEiROIiIhASEgI9uzZo/GY169fh0QiUdmR6a91dMtRtOvSDnZd7NAjqAcOrjkIQRAAAFlzsnCx9CLeX/8+ph2Yhrfnvw2LNhYAgL1L9uLH7B8xZvkYfHToI4QuDUXrjq3rHOPOjTtY9rdlaO/WHpG7IjFo+iB8O/PbOttum70NQ2YNwZSdU2BgZIC149cq153OO401/1wD3/d9MS1vGoJSgnAo4xB2JD+Y1FcoFFj+znIYmRghYkcEglKC6h2HqLloctwuKChAUFAQRo0ahaKiIsTGxiI6OhorV64EAGzatAkdOnRAXFwcKioqUFFR0eCYaWlpCA4OhrGxMYKDg5GWlqayfvTo0ejQoQMOHz6MgoICTJs2DcbGxgCADz74ANXV1di7dy+KioqQmJiIli1b1jlObm4uwsPDMXHiRBQWFiIgIADx8fFq7U6fPo0tW7YgMzMTmZmZ2LNnj8pPDxs7v/zyyy946623EBgYiMLCQoSFhWHatGkNbgMibTGrzCqJA7PKrJI4MKvMKokDs8qsioVOr5UxbNgweHp6IiYmRm0H1IaFhQW+/PJLmJiYAHgQBgsLC7zxxhuwtLSEk5MTXnzxRQBAdXU15syZg++//x69e/cGALi4uOCHH37AkiVL0Ldv30bHu3PnDj788EMEBwfDysrqseumJ3Mw/SB6vN0DANC1f1fcvnEbP+f+jC6vdEHl+Uo85/EcOr7YEQDQpmMb5esqL1TCtrMtXF5ygUQiQWvHuifWAaBgYwEkEglGpo6EsZkx7Lva43rFdaybtE6t7eD/DMbzPs8DAPwn+WPpyKW4d+cejM2M8V3Sd+g/qT+8g70BAG2d2+L1j17H1titGPjhQPy0+ydcOnUJ4RvCYe1grexvSdAS3WwsIh1p7LidkpKC/v37Izo6GgAglUpRXFyMefPmYezYsWjdujUMDQ1haWkJe3v7Bse6ceMGNmzYgLy8PABASEgI+vTpg08//VT5oaO8vBxRUVHo2rUrAKBLly7K15eXl2P48OHw8PAA8OBYX5+FCxdi0KBBiIyMVNa9f/9+ZGZmqrRTKBRYuXIlLC0tAQChoaHYuXMn4uPjNTq/fPHFF+jcubPy2xGurq7KD1JEusSsMqskDswqs0riwKwyqyQOzCqzKgY6++Z6rcTERKxatQolJSWP3YeHh4dyYh0AAgIC4OTkBBcXF4SGhmLNmjWoqqoCAPz888+oqqpCQEAAWrZsqXysXr0ap0+fbnSse/fuISgoCIIg4IsvvnjsmunJXDp1CeeOnIPXcC8AgKGRIV4c9iIOpj+49IvPuz44uvkoknyTsDVmK8oOlilf6x3sjQtFFzDHew42TtuIkzkn6x3n8qnLaO/eHsZmxsplTt2d6mzb3r298t9Wdg/+6HLr6i0AwIUfL+B/8/6HqY5TlY91k9bhxsUbuFt1F5d+ugSb52yUE+sA4OztrOVWIfprNHTcLikpgY+Pj8oyHx8fnDp1CjU1NWrtG5KRkYHOnTtDLpcDADw9PeHk5IR16x7+cWvy5MkICwuDv78/5s6dq3IcnzBhAmbPng0fHx/ExMTg+PHjamPUKi0thbe3t8qyR58DD25uU/tBBQAcHBxw+fJlAJqdX0pKStCrVy+VPms/2BDpGrPKrJI4MKvMKokDs8qskjgwq8yqvtP55Lqvry8GDBiA6dOnqw9mYKC8zEete/fuqbWzsLBQeW5paYkjR44gIyMDDg4OmDFjBuRyOa5du4Zbtx5Mdm7btg2FhYXKR3FxcYPXXa8dOygoCOfOncOOHTv4rfVmdDD9IBT3FYhxi8Fk28mYbDsZuctzcezbY7h94zbcAtwQcywGfv/0w/WL17Fo2CL8N/q/AABHuSNmHJ2BQdMH4d7te1j53kqsGLPiiWsyMP5TPP7/slwKhQIAcPePuxg4bSCi9kQpH1N/mIqP8z+GkRlvnkri0tBxW5fS0tJw4sQJGBkZKR/FxcUqN4qJjY3FiRMnMHjwYOTk5MDNzQ2bN28GAISFheHMmTMIDQ1FUVERevTogYULFz5RTbU/4aslkUiUOX+S8wtRU2BWH2JWSZ8xqw8xq6TPmNWHmFXSZ8zqQ8yqfmqSWcC5c+fC09NTeTPSWra2trh48SIEQVDeRKCwsFCjPo2MjODv7w9/f3/ExMSgVatWyMnJQUBAAExNTVFeXq7RJWBq1U6snzp1Crt27UKbNm0afxE1iZr7NTi87jCGzBqCrv26qqxLC03DkY1H4POuD1q2bQnvYG94B3sjt3cuts7YiiGzhgAAzKzM4PWWF7ze8oL8TTmWvL0Ef1T+AQsb1T/UtOvSDvnf5ON+9X0YmT7Y/cuPaH8T2w7dOuDyqcuwdbGtc72d1A6VFypx/eJ1WNs/+Pb62cNntR6H6K9S33FbJpMhNzdXZVlubi6kUikMDQ0BPLjzeWPfCigqKkJ+fj52796N1q0fXrrp999/h5+fH06ePKn8aZ1UKoVUKkVERASCg4OxYsUKDBs2DADg6OiI8PBwhIeHY/r06Vi2bBnGjx+vNp6rqysOHz6ssuzR541xc3Nr9Pwik8mwdetWlWUHDhzQahwibTCr6phV0kfMqjpmlfQRs6qOWSV9xKyqY1b1R5NMrnt4eGD06NFYsGCBynI/Pz9cuXIFSUlJGDFiBLZv347s7OxGvzGemZmJM2fOwNfXFzY2NsjKyoJCoYCrqyssLS0RGRmJiIgIKBQKvPLKK7h+/Tpyc3NhZWWFMWPGqPV37949jBgxAkeOHEFmZiZqampw8eJFAEDr1q1VLklDTe/EdydQda0KL4W+BHMrc5V13QK74UD6AVyvuA5HT0fYd7XH/er7KP6uGHZSOwDArs93wcreCh08OkBiIMGx/x6DlZ0VzK3N1cbqPrw7ts3ehnUR69B/Yn9Unq9Ezmc5ANDoXaP/7LWo17AseBlsOthA/qYcEgMJfv3xV1ScrMDgjwdD6idFu87t8PW/vsabcW/izs07yIrPeoKtRNS06jtuT5kyBT179sSsWbMwcuRI5OXl4bPPPsOiRYuUbZydnbF3716MGjUKpqamaNu2rVr/aWlp8Pb2VrkZda2ePXsiLS0NcXFxiIqKwogRI9CpUyecP38ehw8fxvDhwwEAkyZNwqBBgyCVSlFZWYldu3ZBJpPV+X7Gjx8PX19fpKSkIDAwEDk5OcjOztYq55qcX8LDw5GcnIyoqCiEhYWhoKBAefMcoqbArKpjVkkfMavqmFXSR8yqOmaV9BGzqo5Z1R86vyxMrbi4OOVPFWrJZDIsWrQIn3/+OeRyOQ4dOqS8eH9DWrVqhU2bNuHVV1+FTCbD4sWLkZGRAXd3dwDArFmzEB0djYSEBMhkMgwcOBDbtm1Dp06d6uzvwoUL2Lp1K86fPw9PT084ODgoH/v373/yN09aOZh+EK59XdUm1gFAHijHL0d/gYGRATLjMpHUJwkL31gIiaEEY9Ie/OHErKUZchbkILl/MlL6p+D3X37HP9b9AwYG6ru3mZUZxn09DheKLmBe33nIis/CgKkDAED5TXZNyPrLMC5jHEp3lSLFPwWpr6Vi9xe70brDg79wGhgY4L2v3sO9O/eQ4p+CtRPX4vWPX3+czUP0l6nruO3l5YX169dj7dq1eOGFFzBjxgzExcVh7NixKq87e/YsOnfuDFtb9V9z3L17F+np6coPHY8aPnw4Vq9eDQMDA/z222945513IJVKERQUhEGDBmHmzJkAgJqaGnzwwQfK47xUKlX50PRnPj4+WLx4MVJSUiCXy7F9+3ZERETAzMxMq23S2PmlY8eO2LhxI7Zs2QK5XI7Fixdjzpw5Wo1BpC1mVR2zSvqIWVXHrJI+YlbVMaukj5hVdcyqfpAIj14EvQ5HjhxB9+7dUVBQAC8vr7+iLr2zZs0ahISEYMquKXCUOzZ3OaRD+d/kI+PfGUg4mwATc/5qQezyv8lH+vvpz/Txiuo2btw4nDx5Evv27WvuUggPz6vMKj2KWdUvzCrVh1nVL8wq1YdZ1T/MK9WFWdU/ms6H886L9Mw5tPYQ2jq3hbWDNS78eAHfxn4Lz6GenFgnesrMnz8fAQEBsLCwQHZ2NlatWlXvNweIqPkwq0TiwKwSiQOzSiQOzOrTg5Pr9My5efkmshOycfPyTVjZWcFziCcG/2dwc5dFRDp26NAhJCUl4ebNm3BxccGCBQsQFhbW3GUR0SOYVSJxYFaJxIFZJRIHZvXpwcl1eub0n9Af/Sf0b+4yiKiJrV+/vrlLICINMKtE4sCsEokDs0okDszq06PJbmhKRERERERERERERPS04uQ6EREREREREREREZGWOLlORERERERERERERKQlra65npWVhZKSkqaqRa/l5uYCAIq/L8alny41czVEVJ8zB88AeLaPV0RiUHteZVaJ9BuzSiQOzCqReDCvROJQVlamUTuJIAhCY43y8vLQp08f1NTUPHFhYiYxkEBQNLq5iKiZGRgYQKFQNHcZRNQIZpVIHJhVInFgVonEg3klEgdDQ0Ps27cPvXv3rreNRt9cNzU1RU1NDdLT0yGTyXRWoJhkZWUhOjoaIUtCYCe1a+5yiKgexd8XIzs++5k+XhGJQe15lVkl0m/MKpE4MKtE4sG8EolDSUkJQkJCYGpq2mA7rS4LI5PJ4OXl9USFiVXtT3XspHZwlDs2czVEVJ/ayzY9y8crIjGoPa8yq0T6jVklEgdmlUg8mFeipwtvaEpEREREREREREREpCVOrhMRERERERERERERaYmT60REREREREREREREWuLkOj31JrWehOPbjjd3GQD0qxaip8nu3bshkUhw7dq15i5Fr2oh0jf6lA99qoVI3+hTPvSpFiJ9o0/50KdaiPSNPuVDn2p5Wuhkcn3s2LGQSCSYO3euyvItW7ZAIpHoYgidi42NRdeuXWFhYQEbGxv4+/vj4MGDzV3WM6/sUBki2kZg6cilOuszriQObv5uOuuP6Gmgy+O2s7MzUlNTNW6fkJAAQ0NDzJs3T6txGvLyyy+joqIC1tbWOuuTSB8wq0TiwKwSiQOzSiQOzCqJic6+uW5mZobExERUVlbqqksAwN27d3XaXy2pVIrPPvsMRUVF+OGHH+Ds7IzXXnsNV65caZLxSDMH0w+iz7g+OJ13GtcrruukTys7KxiZGumkL6KnSVMdtxuzfPlyTJ06FcuXL9dZnyYmJrC3t9fbP+gSPQlmlUgcmFUicWBWicSBWSWx0Nnkur+/P+zt7ZGQkFBvm9jYWHh6eqosS01NhbOzs/L52LFjMXToUMTHx6N9+/ZwdXUFACxatAhdunSBmZkZ7OzsMGLECOVrFAoFEhIS0KlTJ5ibm0Mul2PDhg0N1vu3v/0N/v7+cHFxgbu7O1JSUnDjxg0cP85LdjSX6lvVOLrlKHze84FbgBsOZRxSrqu6VoWv/vEVPu7yMaLaR2F2j9k4uObBLw3u372PDVM3YIZsBiIdIjGz20zs+GSH8rWPXoql7GAZknyTEOkQieRXk3F823FMaj0J54vOAwBO/XAKk1pPwk97fkLyq8mIei4KqQNScenUJZV6i7KKMN9vPiIdIjHrxVnYnrgdNfdrlOuvnL6CBYMXINIhEgkvJaB0V2mTbDeix6XJcRsANm7cCHd3d5iamsLZ2RnJycnKdX5+fjh37hwiIiIgkUga/bCwZ88e3L59G3Fxcbhx4wb279+vsv7YsWPo168fLC0tYWVlhe7duyM/Px8AcO7cOQQGBsLGxgYWFhZwd3dHVlYWgLp/2rZs2TI4OjqiRYsWGDZsGFJSUtCqVSvl+tpz0ldffQVnZ2dYW1tj1KhRuHnzprKNJueXrKwsSKVSmJubo1+/fjh79myD24BIW8wqs0riwKwyqyQOzCqzSuLArDKrYqGzyXVDQ0PMmTMHCxcuxPnz55+or507d6K0tBQ7duxAZmYm8vPzMWHCBMTFxaG0tBTbt2+Hr6+vsn1CQgJWr16NxYsX48SJE4iIiEBISAj27Nmj0Xh3797F0qVLYW1tDblc/kS10+M7uuUo2nVpB7sudugR1AMH1xyEIAgAgKw5WbhYehHvr38f0w5Mw9vz34ZFGwsAwN4le/Fj9o8Ys3wMPjr0EUKXhqJ1x9Z1jnHnxh0s+9sytHdrj8hdkRg0fRC+nfltnW23zd6GIbOGYMrOKTAwMsDa8WuV607nncaaf66B7/u+mJY3DUEpQTiUcQg7kh9M6isUCix/ZzmMTIwQsSMCQSlB9Y5D1Fw0OW4XFBQgKCgIo0aNQlFREWJjYxEdHY2VK1cCADZt2oQOHTogLi4OFRUVqKioaHDMtLQ0BAcHw9jYGMHBwUhLS1NZP3r0aHTo0AGHDx9GQUEBpk2bBmNjYwDABx98gOrqauzduxdFRUVITExEy5Yt6xwnNzcX4eHhmDhxIgoLCxEQEID4+Hi1dqdPn8aWLVuQmZmJzMxM7NmzR+Wnh42dX3755Re89dZbCAwMRGFhIcLCwjBt2rQGtwGRtphVZpXEgVllVkkcmFVmlcSBWWVWxUKn18oYNmwYPD09ERMTo7YDasPCwgJffvklTExMADwIg4WFBd544w1YWlrCyckJL774IgCguroac+bMwffff4/evXsDAFxcXPDDDz9gyZIl6Nu3b73jZGZmYtSoUaiqqoKDgwN27NiBtm3bPnbd9GQOph9Ej7d7AAC69u+K2zdu4+fcn9HllS6oPF+J5zyeQ8cXOwIA2nRso3xd5YVK2Ha2hctLLpBIJGjtWPfEOgAUbCyARCLByNSRMDYzhn1Xe1yvuI51k9aptR38n8F43ud5AID/JH8sHbkU9+7cg7GZMb5L+g79J/WHd7A3AKCtc1u8/tHr2Bq7FQM/HIifdv+ES6cuIXxDOKwdrJX9LQlaopuNRaQjjR23U1JS0L9/f0RHRwN4cEmt4uJizJs3D2PHjkXr1q1haGgIS0tL2NvbNzjWjRs3sGHDBuTl5QEAQkJC0KdPH3z66afKDx3l5eWIiopC165dAQBdunRRvr68vBzDhw+Hh4cHgAfH+vosXLgQgwYNQmRkpLLu/fv3IzMzU6WdQqHAypUrYWlpCQAIDQ3Fzp07ER8fr9H55YsvvkDnzp2V345wdXVVfpAi0iVmlVklcWBWmVUSB2aVWSVxYFaZVTHQ2TfXayUmJmLVqlUoKSl57D48PDyUE+sAEBAQACcnJ7i4uCA0NBRr1qxBVVUVAODnn39GVVUVAgIC0LJlS+Vj9erVOH36dIPj9OvXD4WFhdi/fz8GDhyIoKAgXL58+bHrpsd36dQlnDtyDl7DvQAAhkaGeHHYiziY/uDSLz7v+uDo5qNI8k3C1pitKDtYpnytd7A3LhRdwBzvOdg4bSNO5pysd5zLpy6jvXt7GJsZK5c5dXeqs2179/bKf1vZWQEAbl29BQC48OMF/G/e/zDVcarysW7SOty4eAN3q+7i0k+XYPOcjXJiHQCcvZ213CpEf42GjtslJSXw8fFRWebj44NTp06hpqZGrX1DMjIy0LlzZ+UvhDw9PeHk5IR16x7+cWvy5MkICwuDv78/5s6dq3IcnzBhAmbPng0fHx/ExMQ0eBmv0tJSeHt7qyx79Dnw4OY2tR9UAMDBwUF5HtDk/FJSUoJevXqp9Fn7wYZI15hVZpXEgVllVkkcmFVmlcSBWWVW9Z3OJ9d9fX0xYMAATJ8+XX0wAwPlZT5q3bt3T62dhYWFynNLS0scOXIEGRkZcHBwwIwZMyCXy3Ht2jXcuvVgsnPbtm0oLCxUPoqLixu97rqFhQWef/55vPTSS0hLS4ORkdETfeOeHt/B9INQ3Fcgxi0Gk20nY7LtZOQuz8Wxb4/h9o3bcAtwQ8yxGPj90w/XL17HomGL8N/o/wIAHOWOmHF0BgZNH4R7t+9h5XsrsWLMiieuycD4T/H4/8tyKRQKAMDdP+5i4LSBiNoTpXxM/WEqPs7/GEZmvHkqiUtDx21dSktLw4kTJ2BkZKR8FBcXq9woJjY2FidOnMDgwYORk5MDNzc3bN68GQAQFhaGM2fOIDQ0FEVFRejRowcWLlz4RDXV/oSvlkQiUeb8Sc4vRE2BWX2IWSV9xqw+xKySPmNWH2JWSZ8xqw8xq/qpSWYB586dC09PT+XNSGvZ2tri4sWLEARBeROBwsJCjfo0MjKCv78//P39ERMTg1atWiEnJwcBAQEwNTVFeXl5g5eA0YRCoUB1dfUT9UHaq7lfg8PrDmPIrCHo2q+ryrq00DQc2XgEPu/6oGXblvAO9oZ3sDdye+di64ytGDJrCADAzMoMXm95westL8jflGPJ20vwR+UfsLBR/UNNuy7tkP9NPu5X34eR6YPdv/xIudY1d+jWAZdPXYati22d6+2kdqi8UInrF6/D2v7Bt9fPHj6r9ThEf5X6jtsymQy5ubkqy3JzcyGVSmFoaAjgwZ3PG/tWQFFREfLz87F79260bv3w0k2///47/Pz8cPLkSeVP66RSKaRSKSIiIhAcHIwVK1Zg2LBhAABHR0eEh4cjPDwc06dPx7JlyzB+/Hi18VxdXXH48GGVZY8+b4ybm1uj5xeZTIatW7eqLDtw4IBW4xBpg1lVx6ySPmJW1TGrpI+YVXXMKukjZlUds6o/mmRy3cPDA6NHj8aCBQtUlvv5+eHKlStISkrCiBEjsH37dmRnZ8PKyqrB/jIzM3HmzBn4+vrCxsYGWVlZUCgUcHV1haWlJSIjIxEREQGFQoFXXnkF169fR25uLqysrDBmzBi1/v744w/Ex8fjzTffhIODA65evYrPP/8cFy5cwNtvv63TbUGNO/HdCVRdq8JLoS/B3MpcZV23wG44kH4A1yuuw9HTEfZd7XG/+j6KvyuGndQOALDr812wsrdCB48OkBhIcOy/x2BlZwVza3O1sboP745ts7dhXcQ69J/YH5XnK5HzWQ4ANHrX6D97Leo1LAteBpsONpC/KYfEQIJff/wVFScrMPjjwZD6SdGuczt8/a+v8Wbcm7hz8w6y4rOeYCsRNa36jttTpkxBz549MWvWLIwcORJ5eXn47LPPsGjRImUbZ2dn7N27F6NGjYKpqWmd965IS0uDt7e3ys2oa/Xs2RNpaWmIi4tDVFQURowYgU6dOuH8+fM4fPgwhg8fDgCYNGkSBg0aBKlUisrKSuzatQsymazO9zN+/Hj4+voiJSUFgYGByMnJQXZ2tlY51+T8Eh4ejuTkZERFRSEsLAwFBQXKm+cQNQVmVR2zSvqIWVXHrJI+YlbVMaukj5hVdcyq/tD5ZWFqxcXFKX+qUEsmk2HRokX4/PPPIZfLcejQIeXF+xvSqlUrbNq0Ca+++ipkMhkWL16MjIwMuLu7AwBmzZqF6OhoJCQkQCaTYeDAgdi2bRs6depUZ3+GhoY4efIkhg8fDqlUisDAQPz222/Yt2+fsk/66xxMPwjXvq5qE+sAIA+U45ejv8DAyACZcZlI6pOEhW8shMRQgjFpD/5wYtbSDDkLcpDcPxkp/VPw+y+/4x/r/gEDA/Xd28zKDOO+HocLRRcwr+88ZMVnYcDUAQCg/Ca7JmT9ZRiXMQ6lu0qR4p+C1NdSsfuL3Wjd4cFfOA0MDPDeV+/h3p17SPFPwdqJa/H6x68/zuYh+svUddz28vLC+vXrsXbtWrzwwguYMWMG4uLiMHbsWJXXnT17Fp07d4atrfqvOe7evYv09HTlh45HDR8+HKtXr4aBgQF+++03vPPOO5BKpQgKCsKgQYMwc+ZMAEBNTQ0++OAD5XFeKpWqfGj6Mx8fHyxevBgpKSmQy+XYvn07IiIiYGZmptU2aez80rFjR2zcuBFbtmyBXC7H4sWLMWfOHK3GINIWs6qOWSV9xKyqY1ZJHzGr6phV0kfMqjpmVT9IhEcvgl6HI0eOoHv37igoKICXl9dfUZfeWbNmDUJCQjBl1xQ4yh2buxzSofxv8pHx7wwknE2AiblJ4y8gvZb/TT7S309/po9XVLdx48bh5MmT2LdvX3OXQnh4XmVW6VHMqn5hVqk+zKp+YVapPsyq/mFeqS7Mqv7RdD6cd16kZ86htYfQ1rktrB2sceHHC/g29lt4DvXkxDrRU2b+/PkICAiAhYUFsrOzsWrVqnq/OUBEzYdZJRIHZpVIHJhVInFgVp8enFynZ87NyzeRnZCNm5dvwsrOCp5DPDH4P4Obuywi0rFDhw4hKSkJN2/ehIuLCxYsWICwsLDmLouIHsGsEokDs0okDswqkTgwq08PTq7TM6f/hP7oP6F/c5dBRE1s/fr1zV0CEWmAWSUSB2aVSByYVSJxYFafHk12Q1MiIiIiIiIiIiIioqcVJ9eJiIiIiIiIiIiIiLTEyXUiIiIiIiIiIiIiIi1xcp2IiIiIiIiIiIiISEta3dA0KysLJSUlTVWLXsvNzQUAFH9fjEs/XWrmaoioPmcOngHwbB+viMSg9rzKrBLpN2aVSByYVSLxYF6JxKGsrEyjdhJBEITGGuXl5aFPnz6oqal54sLEzMDAAAqFornLIKJGMKtE4sCsEokDs0okDswqkXgwr0TiYGhoiH379qF37971ttHom+umpqaoqalBeno6ZDKZzgoUk6ysLERHRz/T24BIDJhVInFgVonEgVklEgdmlUg8mFcicSgpKUFISAhMTU0bbKfVZWFkMhm8vLyeqDCxqv2pzrO8DYjEgFklEgdmlUgcmFUicWBWicSDeSV6uvCGpkREREREREREREREWuLkOhERERERERERERGRlji5TlSP3bt3QyKR4Nq1a81dil7VQqSP9Ckj+lQLkb7Rp3zoUy1E+kaf8qFPtRDpG33Khz7VQqRv9Ckf+lTL00Ink+tjx46FRCLB3LlzVZZv2bIFEolEF0M0qfDwcEgkEqSmpjZ3KaKmy/3A2dlZq/8eCQkJMDQ0xLx587QapyEvv/wyKioqYG1trbM+ifQF80okDswqkTgwq0TiwKwSiQOzSmKis2+um5mZITExEZWVlbrqEgBw9+5dnfb3qM2bN+PAgQNo3759k47zrGiq/aAxy5cvx9SpU7F8+XKd9WliYgJ7e3tR/IGI6HEwr0TiwKwSiQOzSiQOzCqRODCrJBY6m1z39/eHvb09EhIS6m0TGxsLT09PlWWpqalwdnZWPh87diyGDh2K+Ph4tG/fHq6urgCARYsWoUuXLjAzM4OdnR1GjBihfI1CoUBCQgI6deoEc3NzyOVybNiwodGaL1y4gPHjx2PNmjUwNjbW7g1TnTTZDwBg48aNcHd3h6mpKZydnZGcnKxc5+fnh3PnziEiIgISiaTRg8+ePXtw+/ZtxMXF4caNG9i/f7/K+mPHjqFfv36wtLSElZUVunfvjvz8fADAuXPnEBgYCBsbG1hYWMDd3R1ZWVkA6v6pzLJly+Do6IgWLVpg2LBhSElJQatWrZTra/fxr776Cs7OzrC2tsaoUaNw8+ZNZRtN9tesrCxIpVKYm5ujX79+OHv2bIPbgOhxMK/MK4kDs8qskjgwq8wqiQOzyqySODCrzKpY6Gxy3dDQEHPmzMHChQtx/vz5J+pr586dKC0txY4dO5CZmYn8/HxMmDABcXFxKC0txfbt2+Hr66tsn5CQgNWrV2Px4sU4ceIEIiIiEBISgj179tQ7hkKhQGhoKKKiouDu7v5E9dJDmuwHBQUFCAoKwqhRo1BUVITY2FhER0dj5cqVAIBNmzahQ4cOiIuLQ0VFBSoqKhocMy0tDcHBwTA2NkZwcDDS0tJU1o8ePRodOnTA4cOHUVBQgGnTpin/mPLBBx+guroae/fuRVFRERITE9GyZcs6x8nNzUV4eDgmTpyIwsJCBAQEID4+Xq3d6dOnsWXLFmRmZiIzMxN79uxR+SlTY/vrL7/8grfeeguBgYEoLCxEWFgYpk2b1uA2IHoczCvzSuLArDKrJA7MKrNK4sCsMqskDswqsyoaggYKCgoEAEJBQUGd68eMGSMMGTJEEARBeOmll4T33ntPEARB2Lx5s/DnIWJiYgS5XK7y2k8++URwcnJS6cvOzk6orq5WLtu4caNgZWUl3LhxQ23sO3fuCC1atBD279+vsvzvf/+7EBwcXO97mjNnjhAQECAoFApBEATByclJ+OSTT+ptn56e3uA2IM33g7/97W9CQECAymujoqIENzc35fPG/nvUun79umBubi4UFhYKgiAIR48eFVq2bCncvHlT2cbS0lJYuXJlna/38PAQYmNj61y3a9cuAYBQWVkpCIIgjBw5Uhg8eLBKm9GjRwvW1tbK5zExMUKLFi1U9tWoqCihV69egiBotr9Onz5dZVsIgiB8+OGHKrVQ/ZhVzTCvzGtzY1Y1w6wyq82NWdUMs8qsNjdmVTPMKrOqD5jXxjGrzKo+aGw+vJbOvrleKzExEatWrUJJSclj9+Hh4QETExPl84CAADg5OcHFxQWhoaFYs2YNqqqqAAA///wzqqqqEBAQgJYtWyofq1evxunTp+vsv6CgAJ9++ilWrlzJ6x01kYb2g5KSEvj4+Kgs8/HxwalTp1BTU6PVOBkZGejcuTPkcjkAwNPTE05OTli3bp2yzeTJkxEWFgZ/f3/MnTtXZb+YMGECZs+eDR8fH8TExOD48eP1jlVaWgpvb2+VZY8+Bx7cLMPS0lL53MHBAZcvXwag2f5aUlKCXr16qfTZu3dvTTcJkdaYV+aVxIFZZVZJHJhVZpXEgVllVkkcmFVmVd/pfHLd19cXAwYMwPTp09UHMzCAIAgqy+7du6fWzsLCQuW5paUljhw5goyMDDg4OGDGjBmQy+W4du0abt26BQDYtm0bCgsLlY/i4uJ6r7u+b98+XL58GR07doSRkRGMjIxw7tw5TJkyReX67/T4GtoPdCktLQ0nTpxQ/nc0MjJCcXGxyo0nYmNjceLECQwePBg5OTlwc3PD5s2bAQBhYWE4c+YMQkNDUVRUhB49emDhwoVPVNOj1++XSCRQKBQA8Fj7K1FTY14fYl5JnzGrDzGrpM+Y1YeYVdJnzOpDzCrpM2b1IWZVPxk1Radz586Fp6en8maktWxtbXHx4kUIgqD8xnhhYaFGfRoZGcHf3x/+/v6IiYlBq1atkJOTg4CAAJiamqK8vBx9+/bVqK/Q0FD4+/urLBswYABCQ0Px7rvvatQHNa6+/UAmkyE3N1dlWW5uLqRSKQwNDQE8uJNyY39lLCoqQn5+Pnbv3o3WrVsrl//+++/w8/PDyZMn0bVrVwCAVCqFVCpFREQEgoODsWLFCgwbNgwA4OjoiPDwcISHh2P69OlYtmwZxo8frzaeq6srDh8+rLLs0eeNcXNza3R/lclk2Lp1q8qyAwcOaDUOkbaYV3XMK+kjZlUds0r6iFlVx6ySPmJW1TGrpI+YVXXMqv5oksl1Dw8PjB49GgsWLFBZ7ufnhytXriApKQkjRozA9u3bkZ2dDSsrqwb7y8zMxJkzZ+Dr6wsbGxtkZWVBoVDA1dUVlpaWiIyMREREBBQKBV555RVcv34dubm5sLKywpgxY9T6a9OmDdq0aaOyzNjYGPb29mpBpcdX334wZcoU9OzZE7NmzcLIkSORl5eHzz77DIsWLVK2cXZ2xt69ezFq1CiYmpqibdu2av2npaXB29tb5ea2tXr27Im0tDTExcUhKioKI0aMQKdOnXD+/HkcPnwYw4cPBwBMmjQJgwYNglQqRWVlJXbt2gWZTFbn+xk/fjx8fX2RkpKCwMBA5OTkIDs7W6tLC2myv4aHhyM5ORlRUVEICwtDQUGB8mYcRE2FeVXHvJI+YlbVMaukj5hVdcwq6SNmVR2zSvqIWVXHrOoRXVzA/c83GqhVVlYmmJiYCI8O8cUXXwiOjo6ChYWF8M477wjx8fFqNzR9tK99+/YJffv2FWxsbARzc3OhW7duwrp165TrFQqFkJqaKri6ugrGxsaCra2tMGDAAGHPnj2avD1BEHhDU13QZj/YsGGD4ObmJhgbGwsdO3YU5s2bp7I+Ly9P6Natm2Bqaqr2WkEQhOrqaqFNmzZCUlJSnbUkJiYK7dq1E+7cuSOMGjVKcHR0FExMTIT27dsL//73v4Xbt28LgiAI//73v4XOnTsLpqamgq2trRAaGipcvXpVEAT1G04IgiAsXbpUeO655wRzc3Nh6NChwuzZswV7e3vlek1u2qvJ/vrtt98Kzz//vGBqair06dNHWL58OW84oSFmVTPMK/Pa3JhVzTCrzGpzY1Y1w6wyq82NWdUMs8qs6gPmtXHMKrOqDzS9oalEEB65CHodjhw5gu7du6OgoABeXl46mNIXnzVr1iAkJOSZ3gakbty4cTh58iT27dvX3KXQ/2NWqT7Mq35hVqk+zKp+YVapPsyqfmFWqT7Mqv5hXqkuzKr+0XQ+vEkuC0P0tJo/fz4CAgJgYWGB7OxsrFq1SuXnRkSkP5hXInFgVonEgVklEgdmlUgcmNWnByfXibRw6NAhJCUl4ebNm3BxccGCBQsQFhbW3GURUR2YVyJxYFaJxIFZJRIHZpVIHJjVpwcn14m0sH79+uYugYg0xLwSiQOzSiQOzCqRODCrROLArD49DJq7ACIiIiIiIiIiIiIiseHkOhERERERERERERGRlji5TkRERERERERERESkJU6uExERERERERERERFpSasbmmZlZaGkpKSpatFrubm5AJ7tbUAkBswqkTgwq0TiwKwSiQOzSiQezCuROJSVlWnUTiIIgtBYo7y8PPTp0wc1NTVPXJiYGRgYQKFQNHcZRNQIiYEEgqLRQxsRNTOeV4nEgVklEgdmlUg8mFcicTA0NMS+ffvQu3fvetto9M11U1NT1NTUID09HTKZTGcFiklWVhaio6Of6W1AJAa1WQ1ZEgI7qV1zl0NE9Sj+vhjZ8dk8rxLpOX4GJhIHZpVIPJhXInEoKSlBSEgITE1NG2yn1WVhZDIZvLy8nqgwsar9qc6zvA2IxKA2q3ZSOzjKHZu5GiKqz6WfLgHgeZVI3/EzMJE4MKtE4sG8Ej1deENTIiIiIiIiIiIiIiItcXKdiIiIiIiIiIiIiEhLnFwnIiIiIiIiIiIiItISJ9eJ6rF7925IJBJcu3atuUvRq1qImsqk1pNwfNvx5i4DgH7VQvQ00afzmT7VQqRv9Ckf+lQLkb7Rp3zoUy1E+kaf8qFPtTwtdDK5PnbsWEgkEsydO1dl+ZYtWyCRSHQxhM7V1vznx8CBA5u7LFHT5X7g7OyM1NRUjdsnJCTA0NAQ8+bN02qchrz88suoqKiAtbW1zvokelqUHSpDRNsILB25VGd9xpXEwc3fTWf9ET0NeG4lEgdmlUgcmFUicWBWSUx09s11MzMzJCYmorKyUlddAgDu3r2r0/7+bODAgaioqFA+MjIymmysZ0VT7QeNWb58OaZOnYrly5frrE8TExPY29vr7R+IiJrTwfSD6DOuD07nncb1ius66dPKzgpGpkY66YvoacJzK5E4MKtE4sCsEokDs0piobPJdX9/f9jb2yMhIaHeNrGxsfD09FRZlpqaCmdnZ+XzsWPHYujQoYiPj0f79u3h6uoKAFi0aBG6dOkCMzMz2NnZYcSIEcrXKBQKJCQkoFOnTjA3N4dcLseGDRsardnU1BT29vbKh42NjXZvmtRosh8AwMaNG+Hu7g5TU1M4OzsjOTlZuc7Pzw/nzp1DRESE8lcFDdmzZw9u376NuLg43LhxA/v371dZf+zYMfTr1w+WlpawsrJC9+7dkZ+fDwA4d+4cAgMDYWNjAwsLC7i7uyMrKwtA3T+VWbZsGRwdHdGiRQsMGzYMKSkpaNWqlXJ97T7+1VdfwdnZGdbW1hg1ahRu3rypbKPJ/pqVlQWpVApzc3P069cPZ8+ebXAbEP2Vqm9V4+iWo/B5zwduAW44lHFIua7qWhW++sdX+LjLx4hqH4XZPWbj4JqDAID7d+9jw9QNmCGbgUiHSMzsNhM7PtmhfO2jl2IpO1iGJN8kRDpEIvnVZBzfdhyTWk/C+aLzAIBTP5zCpNaT8NOen5D8ajKinotC6oBUXDp1SaXeoqwizPebj0iHSMx6cRa2J25Hzf0a5forp69gweAFiHSIRMJLCSjdVdok243ocfHcynMriQOzyqySODCrzCqJA7PKrIqFzibXDQ0NMWfOHCxcuBDnz59/or527tyJ0tJS7NixA5mZmcjPz8eECRMQFxeH0tJSbN++Hb6+vsr2CQkJWL16NRYvXowTJ04gIiICISEh2LNnT4Pj7N69G+3atYOrqyv++c9/4rfffnuiukmz/aCgoABBQUEYNWoUioqKEBsbi+joaKxcuRIAsGnTJnTo0AFxcXHKXxU0JC0tDcHBwTA2NkZwcDDS0tJU1o8ePRodOnTA4cOHUVBQgGnTpsHY2BgA8MEHH6C6uhp79+5FUVEREhMT0bJlyzrHyc3NRXh4OCZOnIjCwkIEBAQgPj5erd3p06exZcsWZGZmIjMzE3v27FH5KVNj++svv/yCt956C4GBgSgsLERYWBimTZvW4DYg+isd3XIU7bq0g10XO/QI6oGDaw5CEAQAQNacLFwsvYj317+PaQem4e35b8OijQUAYO+Svfgx+0eMWT4GHx36CKFLQ9G6Y+s6x7hz4w6W/W0Z2ru1R+SuSAyaPgjfzvy2zrbbZm/DkFlDMGXnFBgYGWDt+LXKdafzTmPNP9fA931fTMubhqCUIBzKOIQdyQ8m9RUKBZa/sxxGJkaI2BGBoJSgeschai48t/LcSuLArDKrJA7MKrNK4sCsMqtiodPf3w8bNgyenp6IiYlR2wG1YWFhgS+//BImJiYAHoTBwsICb7zxBiwtLeHk5IQXX3wRAFBdXY05c+bg+++/R+/evQEALi4u+OGHH7BkyRL07du3zjEGDhyIt956C506dcLp06fx0UcfYdCgQcjLy4OhoeFj106N7wcpKSno378/oqOjAQBSqRTFxcWYN28exo4di9atW8PQ0BCWlpawt7dvcKwbN25gw4YNyMvLAwCEhISgT58++PTTT5UHsfLyckRFRaFr164AgC5duihfX15ejuHDh8PDwwPAg32nPgsXLsSgQYMQGRmprHv//v3IzMxUaadQKLBy5UpYWloCAEJDQ7Fz507Ex8drtL9+8cUX6Ny5s/Kvra6ursoDM5E+OJh+ED3e7gEA6Nq/K27fuI2fc39Gl1e6oPJ8JZ7zeA4dX+wIAGjTsY3ydZUXKmHb2RYuL7lAIpGgtWPdE+sAULCxABKJBCNTR8LYzBj2Xe1xveI61k1ap9Z28H8G43mf5wEA/pP8sXTkUty7cw/GZsb4Luk79J/UH97B3gCAts5t8fpHr2Nr7FYM/HAgftr9Ey6duoTwDeGwdrBW9rckaIluNhaRjvDcynMriQOzyqySODCrzCqJA7PKrIqBzr65XisxMRGrVq1CSUnJY/fh4eGhnFgHgICAADg5OcHFxQWhoaFYs2YNqqqqAAA///wzqqqqEBAQgJYtWyofq1evxunTp+sdY9SoUXjzzTfh4eGBoUOHIjMzE4cPH8bu3bsfu256qKH9oKSkBD4+PirLfHx8cOrUKdTU1Ki1b0hGRgY6d+4MuVwOAPD09ISTkxPWrXs4ATd58mSEhYXB398fc+fOVdkvJkyYgNmzZ8PHxwcxMTE4fvy42hi1SktL4e3trbLs0efAg5tl1B74AMDBwQGXL18GoNn+WlJSgl69eqn0WXugJGpul05dwrkj5+A13AsAYGhkiBeHvYiD6Q8u/eLzrg+Obj6KJN8kbI3ZirKDZcrXegd740LRBczxnoON0zbiZM7Jese5fOoy2ru3h7GZsXKZU3enOtu2d2+v/LeVnRUA4NbVWwCACz9ewP/m/Q9THacqH+smrcONizdwt+ouLv10CTbP2Sgn1gHA2dtZy61C9NfguZXnVhIHZpVZJXFgVplVEgdmlVnVdzqfXPf19cWAAQMwffp09cEMDJSXDqh17949tXYWFhYqzy0tLXHkyBFkZGTAwcEBM2bMgFwux7Vr13Dr1oMJlG3btqGwsFD5KC4u1ui667VcXFzQtm1b/Pzzzxq/hurX0H6gS2lpaThx4gSMjIyUj+LiYpUbT8TGxuLEiRMYPHgwcnJy4Obmhs2bNwMAwsLCcObMGYSGhqKoqAg9evTAwoULn6im2p8E1ZJIJFAoFACgs/2VqLkcTD8IxX0FYtxiMNl2MibbTkbu8lwc+/YYbt+4DbcAN8Qci4HfP/1w/eJ1LBq2CP+N/i8AwFHuiBlHZ2DQ9EG4d/seVr63EivGrHjimgyM/3Qq+/9L6NVm7u4fdzFw2kBE7YlSPqb+MBUf538MIzPePJXEhefWh3huJX3GrD7ErJI+Y1YfYlZJnzGrDzGr+qlJZhbmzp0LT09P5c1Ia9na2uLixYsQBEF5E4HCwkKN+jQyMoK/vz/8/f0RExODVq1aIScnBwEBATA1NUV5eXm9l4DRxPnz5/Hbb7/BwcHhsfsgVfXtBzKZDLm5uSrLcnNzIZVKlZfkMTExafSvjEVFRcjPz8fu3bvRuvXDy0v8/vvv8PPzw8mTJ5U/1ZFKpZBKpYiIiEBwcDBWrFiBYcOGAQAcHR0RHh6O8PBwTJ8+HcuWLcP48ePVxnN1dcXhw4dVlj36vDFubm6N7q8ymQxbt25VWXbgwAGtxiFqCjX3a3B43WEMmTUEXft1VVmXFpqGIxuPwOddH7Rs2xLewd7wDvZGbu9cbJ2xFUNmDQEAmFmZwestL3i95QX5m3IseXsJ/qj8AxY2qn9UbdelHfK/ycf96vswMn1wqio/Uq51zR26dcDlU5dh62Jb53o7qR0qL1Ti+sXrsLZ/8O31s4fPaj0O0V+F51Z1PLeSPmJW1TGrpI+YVXXMKukjZlUds6o/mmRy3cPDA6NHj8aCBQtUlvv5+eHKlStISkrCiBEjsH37dmRnZ8PKyqrB/jIzM3HmzBn4+vrCxsYGWVlZUCgUcHV1haWlJSIjIxEREQGFQoFXXnkF169fR25uLqysrDBmzBi1/m7duoWZM2di+PDhsLe3x+nTpzF16lQ8//zzGDBggE63xbOsvv1gypQp6NmzJ2bNmoWRI0ciLy8Pn332GRYtWqRs4+zsjL1792LUqFEwNTVF27Zt1fpPS0uDt7e3ys1ta/Xs2RNpaWmIi4tDVFQURowYgU6dOuH8+fM4fPgwhg8fDgCYNGkSBg0aBKlUisrKSuzatQsymazO9zN+/Hj4+voiJSUFgYGByMnJQXZ2dqN3m/4zTfbX8PBwJCcnIyoqCmFhYSgoKFDejIOoOZ347gSqrlXhpdCXYG5lrrKuW2A3HEg/gOsV1+Ho6Qj7rva4X30fxd8Vw05qBwDY9fkuWNlboYNHB0gMJDj232OwsrOCubW52ljdh3fHttnbsC5iHfpP7I/K85XI+SwHALTK3GtRr2FZ8DLYdLCB/E05JAYS/Prjr6g4WYHBHw+G1E+Kdp3b4et/fY03497EnZt3kBWf9QRbiahp8dyqjudW0kfMqjpmlfQRs6qOWSV9xKyqY1b1h84vC1MrLi5O+VOFWjKZDIsWLcLnn38OuVyOQ4cOKS/e35BWrVph06ZNePXVVyGTybB48WJkZGTA3d0dADBr1ixER0cjISEBMpkMAwcOxLZt29CpU6c6+zM0NMTx48fx5ptvQiqV4u9//zu6d++Offv2wdTU9MnfPCnVtR94eXlh/fr1WLt2LV544QXMmDEDcXFxGDt2rMrrzp49i86dO8PWVv0bp3fv3kV6erryIPao4cOHY/Xq1TAwMMBvv/2Gd955B1KpFEFBQRg0aBBmzpwJAKipqcEHH3yg3G+kUqnKQfjPfHx8sHjxYqSkpEAul2P79u2IiIiAmZmZVtuksf21Y8eO2LhxI7Zs2QK5XI7Fixdjzpw5Wo1B1BQOph+Ea19XtYl1AJAHyvHL0V9gYGSAzLhMJPVJwsI3FkJiKMGYtAd/5DRraYacBTlI7p+MlP4p+P2X3/GPdf+AgYH6qcjMygzjvh6HC0UXMK/vPGTFZ2HA1Ad//Kz9JrsmZP1lGJcxDqW7SpHin4LU11Kx+4vdaN3hwbcRDAwM8N5X7+HenXtI8U/B2olr8frHrz/O5iH6y/Dcqo7nVtJHzKo6ZpX0EbOqjlklfcSsqmNW9YNEePQi6HU4cuQIunfvjoKCAnh5ef0VdemdNWvWICQk5JneBqRu3LhxOHnyJPbt29fcpdD/q83qlF1T4Ch3bO5ySIfyv8lHxr8zkHA2ASbmJo2/gPRa/jf5SH8/nedVUsNzq37hZ2CqD7OqX5hVqg+zqn+YV6oLs6p/NJ0P593ciLQwf/58BAQEwMLCAtnZ2Vi1alW9f4kkoidzaO0htHVuC2sHa1z48QK+jf0WnkM9ObFO9JThuZVIHJhVInFgVonEgVl9enBynUgLhw4dQlJSEm7evAkXFxcsWLAAYWFhzV0W0VPp5uWbyE7Ixs3LN2FlZwXPIZ4Y/J/BzV0WEekYz61E4sCsEokDs0okDszq04OT60RaWL9+fXOXQPTM6D+hP/pP6N/cZRBRE+O5lUgcmFUicWBWicSBWX16NNkNTYmIiIiIiIiIiIiInlacXCciIiIiIiIiIiIi0hIn14mIiIiIiIiIiIiItMTJdSIiIiIiIiIiIiIiLWl1Q9OsrCyUlJQ0VS16LTc3F8CzvQ2IxKA2q8XfF+PST5eauRoiqs+Zg2cA8LxKpO/4GZhIHJhVIvFgXonEoaysTKN2EkEQhMYa5eXloU+fPqipqXniwsTMwMAACoWiucsgokZIDCQQFI0e2oiomfG8SiQOzCqRODCrROLBvBKJg6GhIfbt24fevXvX20ajb66bmpqipqYG6enpkMlkOitQTLKyshAdHf1MbwMiMajNasiSENhJ7Zq7HCKqR/H3xciOz+Z5lUjP8TMwkTgwq0TiwbwSiUNJSQlCQkJgamraYDutLgsjk8ng5eX1RIWJVe1PdZ7lbUAkBrVZtZPawVHu2MzVEFF9ai/bxPMqkX7jZ2AicWBWicSDeSV6uvCGpkREREREREREREREWuLkOhERERERERERERGRlji5TlSP3bt3QyKR4Nq1a81dil7VQtRUJrWehOPbjjd3GQD0qxaip4k+nc/0qRYifaNP+dCnWoj0jT7lQ59qIdI3+pQPfarlaaGTyfWxY8dCIpFg7ty5Ksu3bNkCiUSiiyGaRElJCd58801YW1vDwsICPXv2RHl5eXOXJVq63A+cnZ2RmpqqcfuEhAQYGhpi3rx5Wo3TkJdffhkVFRWwtrbWWZ9ET4uyQ2WIaBuBpSOX6qzPuJI4uPm76aw/oqcBz61E4sCsEokDs0okDswqiYnOvrluZmaGxMREVFZW6qpLAMDdu3d12l+t06dP45VXXkHXrl2xe/duHD9+HNHR0TAzM2uS8Z4VTbUfNGb58uWYOnUqli9frrM+TUxMYG9vr9d/ICJqLgfTD6LPuD44nXca1yuu66RPKzsrGJlqdZ9tomcCz61E4sCsEokDs0okDswqiYXOJtf9/f1hb2+PhISEetvExsbC09NTZVlqaiqcnZ2Vz8eOHYuhQ4ciPj4e7du3h6urKwBg0aJF6NKlC8zMzGBnZ4cRI0YoX6NQKJCQkIBOnTrB3NwccrkcGzZsaLDejz/+GK+//jqSkpLw4osvonPnznjzzTfRrl077d88KWmyHwDAxo0b4e7uDlNTUzg7OyM5OVm5zs/PD+fOnUNERAQkEkmjB589e/bg9u3biIuLw40bN7B//36V9ceOHUO/fv1gaWkJKysrdO/eHfn5+QCAc+fOITAwEDY2NrCwsIC7uzuysrIA1P1TmWXLlsHR0REtWrTAsGHDkJKSglatWinX1+7jX331FZydnWFtbY1Ro0bh5s2byjaa7K9ZWVmQSqUwNzdHv379cPbs2Qa3AdFfqfpWNY5uOQqf93zgFuCGQxmHlOuqrlXhq398hY+7fIyo9lGY3WM2Dq45CAC4f/c+NkzdgBmyGYh0iMTMbjOx45Mdytc+eimWsoNlSPJNQqRDJJJfTcbxbccxqfUknC86DwA49cMpTGo9CT/t+QnJryYj6rkopA5IxaVTl1TqLcoqwny/+Yh0iMSsF2dhe+J21NyvUa6/cvoKFgxegEiHSCS8lIDSXaVNst2IHhfPrTy3kjgwq8wqiQOzyqySODCrzKpY6Gxy3dDQEHPmzMHChQtx/vz5J+pr586dKC0txY4dO5CZmYn8/HxMmDABcXFxKC0txfbt2+Hr66tsn5CQgNWrV2Px4sU4ceIEIiIiEBISgj179tTZv0KhwLZt2yCVSjFgwAC0a9cOvXr1wpYtW56obtJsPygoKEBQUBBGjRqFoqIixMbGIjo6GitXrgQAbNq0CR06dEBcXBwqKipQUVHR4JhpaWkIDg6GsbExgoODkZaWprJ+9OjR6NChAw4fPoyCggJMmzYNxsbGAIAPPvgA1dXV2Lt3L4qKipCYmIiWLVvWOU5ubi7Cw8MxceJEFBYWIiAgAPHx8WrtTp8+jS1btiAzMxOZmZnYs2ePyk+ZGttff/nlF7z11lsIDAxEYWEhwsLCMG3atAa3AdFf6eiWo2jXpR3sutihR1APHFxzEIIgAACy5mThYulFvL/+fUw7MA1vz38bFm0sAAB7l+zFj9k/YszyMfjo0EcIXRqK1h1b1znGnRt3sOxvy9DerT0id0Vi0PRB+Hbmt3W23TZ7G4bMGoIpO6fAwMgAa8evVa47nXcaa/65Br7v+2Ja3jQEpQThUMYh7Eh+MKmvUCiw/J3lMDIxQsSOCASlBNU7DlFz4bmV51YSB2aVWSVxYFaZVRIHZpVZFQud/v5+2LBh8PT0RExMjNoOqA0LCwt8+eWXMDExAfAgDBYWFnjjjTdgaWkJJycnvPjiiwCA6upqzJkzB99//z169+4NAHBxccEPP/yAJUuWoG/fvmr9X758Gbdu3cLcuXMxe/ZsJCYmYvv27Xjrrbewa9euOl9DmmtsP0hJSUH//v0RHR0NAJBKpSguLsa8efMwduxYtG7dGoaGhrC0tIS9vX2DY924cQMbNmxAXl4eACAkJAR9+vTBp59+qjyIlZeXIyoqCl27dgUAdOnSRfn68vJyDB8+HB4eHgAe7Dv1WbhwIQYNGoTIyEhl3fv370dmZqZKO4VCgZUrV8LS0hIAEBoaip07dyI+Pl6j/fWLL75A586dlX9tdXV1VR6YifTBwfSD6PF2DwBA1/5dcfvGbfyc+zO6vNIFlecr8ZzHc+j4YkcAQJuObZSvq7xQCdvOtnB5yQUSiQStHeueWAeAgo0FkEgkGJk6EsZmxrDvao/rFdexbtI6tbaD/zMYz/s8DwDwn+SPpSOX4t6dezA2M8Z3Sd+h/6T+8A72BgC0dW6L1z96HVtjt2LghwPx0+6fcOnUJYRvCIe1g7WyvyVBS3SzsYh0hOdWnltJHJhVZpXEgVllVkkcmFVmVQx09s31WomJiVi1ahVKSkoeuw8PDw/lxDoABAQEwMnJCS4uLggNDcWaNWtQVVUFAPj5559RVVWFgIAAtGzZUvlYvXo1Tp8+XWf/CoUCADBkyBBERETA09MT06ZNwxtvvIHFixc/dt30UEP7QUlJCXx8fFSW+fj44NSpU6ipqVFr35CMjAx07twZcrkcAODp6QknJyesW/dwAm7y5MkICwuDv78/5s6dq7JfTJgwAbNnz4aPjw9iYmJw/PhxtTFqlZaWwtvbW2XZo8+BBzfLqD3wAYCDgwMuX74MQLP9taSkBL169VLps/ZASdTcLp26hHNHzsFruBcAwNDIEC8OexEH0x9c+sXnXR8c3XwUSb5J2BqzFWUHy5Sv9Q72xoWiC5jjPQcbp23EyZyT9Y5z+dRltHdvD2MzY+Uyp+5OdbZt795e+W8rOysAwK2rtwAAF368gP/N+x+mOk5VPtZNWocbF2/gbtVdXPrpEmyes1FOrAOAs7ezlluF6K/BcyvPrSQOzCqzSuLArDKrJA7MKrOq73Q+ue7r64sBAwZg+vTp6oMZGCgvHVDr3r17au0sLCxUnltaWuLIkSPIyMiAg4MDZsyYAblcjmvXruHWrQcTKNu2bUNhYaHyUVxcXO9119u2bQsjIyO4ubmpLJfJZCgvL9fq/VLdGtoPdCktLQ0nTpyAkZGR8lFcXKxy44nY2FicOHECgwcPRk5ODtzc3LB582YAQFhYGM6cOYPQ0FAUFRWhR48eWLhw4RPVVPuToFoSiUT5B53H2V+J9MnB9INQ3Fcgxi0Gk20nY7LtZOQuz8Wxb4/h9o3bcAtwQ8yxGPj90w/XL17HomGL8N/o/wIAHOWOmHF0BgZNH4R7t+9h5XsrsWLMiieuycD4T6ey/7+EXm3m7v5xFwOnDUTUnijlY+oPU/Fx/scwMuPNU0lceG59iOdW0mfM6kPMKukzZvUhZpX0GbP6ELOqn5pkZmHu3Lnw9PRU3oy0lq2tLS5evAhBEJQ3ESgsLNSoTyMjI/j7+8Pf3x8xMTFo1aoVcnJyEBAQAFNTU5SXl2t8ORcTExP07NkTpaWqN6376aef4ORU9zcjSXv17QcymQy5ubkqy3JzcyGVSmFoaAjgwX+jxv7KWFRUhPz8fOzevRutWz+8vMTvv/8OPz8/nDx5UvlTHalUCqlUioiICAQHB2PFihUYNmwYAMDR0RHh4eEIDw/H9OnTsWzZMowfP15tPFdXVxw+fFhl2aPPG+Pm5tbo/iqTybB161aVZQcOHNBqHKKmUHO/BofXHcaQWUPQtV9XlXVpoWk4svEIfN71Qcu2LeEd7A3vYG/k9s7F1hlbMWTWEACAmZUZvN7ygtdbXpC/KceSt5fgj8o/YGGj+kfVdl3aIf+bfNyvvg8j0wenqvIj2v/xs0O3Drh86jJsXWzrXG8ntUPlhUpcv3gd1vYPvr1+9vBZrcch+qvw3KqO51bSR8yqOmaV9BGzqo5ZJX3ErKpjVvVHk0yue3h4YPTo0ViwYIHKcj8/P1y5cgVJSUkYMWIEtm/fjuzsbFhZWTXYX2ZmJs6cOQNfX1/Y2NggKysLCoUCrq6usLS0RGRkJCIiIqBQKPDKK6/g+vXryM3NhZWVFcaMGVNnn1FRURg5ciR8fX3Rr18/bN++Hd9++y12796tq83wzKtvP5gyZQp69uyJWbNmYeTIkcjLy8Nnn32GRYsWKds4Oztj7969GDVqFExNTdG2bVu1/tPS0uDt7a1yc9taPXv2RFpaGuLi4hAVFYURI0agU6dOOH/+PA4fPozhw4cDACZNmoRBgwZBKpWisrISu3btgkwmq/P9jB8/Hr6+vkhJSUFgYCBycnKQnZ3d6N2m/0yT/TU8PBzJycmIiopCWFgYCgoKlDfjIGpOJ747gaprVXgp9CWYW5mrrOsW2A0H0g/gesV1OHo6wr6rPe5X30fxd8Wwk9oBAHZ9vgtW9lbo4NEBEgMJjv33GKzsrGBuba42Vvfh3bFt9jasi1iH/hP7o/J8JXI+ywEArTL3WtRrWBa8DDYdbCB/Uw6JgQS//vgrKk5WYPDHgyH1k6Jd53b4+l9f4824N3Hn5h1kxWc9wVYialo8t6rjuZX0EbOqjlklfcSsqmNWSR8xq+qYVf2h88vC1IqLi1P+VKGWTCbDokWL8Pnnn0Mul+PQoUPKi/c3pFWrVti0aRNeffVVyGQyLF68GBkZGXB3dwcAzJo1C9HR0UhISIBMJsPAgQOxbds2dOrUqd4+hw0bhsWLFyMpKQkeHh748ssvsXHjRrzyyitP9sZJRV37gZeXF9avX4+1a9fihRdewIwZMxAXF4exY8eqvO7s2bPo3LkzbG3Vv3F69+5dpKenKw9ijxo+fDhWr14NAwMD/Pbbb3jnnXcglUoRFBSEQYMGYebMmQCAmpoafPDBB8r9RiqVqhyE/8zHxweLFy9GSkoK5HI5tm/fjoiICJiZmWm1TRrbXzt27IiNGzdiy5YtkMvlWLx4MebMmaPVGERN4WD6Qbj2dVWbWAcAeaAcvxz9BQZGBsiMy0RSnyQsfGMhJIYSjEl78EdOs5ZmyFmQg+T+yUjpn4Lff/kd/1j3DxgYqJ+KzKzMMO7rcbhQdAHz+s5DVnwWBkwdAADKb7JrQtZfhnEZ41C6qxQp/ilIfS0Vu7/YjdYdHnwbwcDAAO999R7u3bmHFP8UrJ24Fq9//PrjbB6ivwzPrep4biV9xKyqY1ZJHzGr6phV0kfMqjpmVT9IhEcvgl6HI0eOoHv37igoKICXl9dfUZfeWbNmDUJCQp7pbUDqxo0bh5MnT2Lfvn3NXQr9v9qsTtk1BY5yx+Yuh3Qo/5t8ZPw7AwlnE2BibtL4C0iv5X+Tj/T303leJTU8t+oXfgam+jCr+oVZpfowq/qHeaW6MKv6R9P5cN7NjUgL8+fPR0BAACwsLJCdnY1Vq1bV+5dIInoyh9YeQlvntrB2sMaFHy/g29hv4TnUkxPrRE8ZnluJxIFZJRIHZpVIHJjVpwcn14m0cOjQISQlJeHmzZtwcXHBggULEBYW1txlET2Vbl6+ieyEbNy8fBNWdlbwHOKJwf8Z3NxlEZGO8dxKJA7MKpE4MKtE4sCsPj04uU6khfXr1zd3CUTPjP4T+qP/hP7NXQYRNTGeW4nEgVklEgdmlUgcmNWnR5Pd0JSIiIiIiIiIiIiI6GnFyXUiIiIiIiIiIiIiIi1xcp2IiIiIiIiIiIiISEucXCciIiIiIiIiIiIi0pJWNzQtKSlpqjr0XllZGYBnexsQiUFtVi/9dKmZKyGihvxW/hsAnleJ9B0/AxOJA7NKJB7MK5E4aJpRiSAIQmONysvLIZPJUFVV9cSFiZmhoSFqamqauwwiaoTEQAJB0eihjYiamYGhARQ1iuYug4gawc/AROLArBKJB/NKJA4tWrRASUkJOnbsWG8bjSbXgQcT7FevXtVZcWJUXV0NU1PT5i6DiBrBrBKJA7NKJA7MKpE4MKtE4sG8EolD27ZtG5xYB7SYXCciIiIiIiIiIiIiogd4Q1MiIiIiIiIiIiIiIi1xcp2IiIiIiIiIiIiISEucXCciIiIiIiIiIiIi0hIn14mIiIiIiIiIiIiItMTJdSIiIiIiIiIiIiIiLXFynYiIiIiIiIiIiIhIS5xcJyIiIiIiIiIiIiLSEifXiYiIiIiIiIiIiIi0xMl1IiIiIiIiIiIiIiItcXKdiIiIiIiIiIiIiEhLnFwnIiIiIiIiIiIiItISJ9eJiIiIiIiIiIiIiLTEyXUiIiIiIiIiIiIiIi1xcp2IiIiIiIiIiIiISEucXCciIiIiIiIiIiIi0hIn14mIiIiIiIiIiIiItPR/0YZi1AIOLh4AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) <= (shifts[0,1,1])]\n",
      "Query52: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query53: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query54: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query55: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) > (shifts[0,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,2,0])]\n",
      "Size of CL:  8\n",
      "Size of B:  352\n",
      "Number of Queries:  56\n",
      "Query56: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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aW0RAWS1KSbMKsHPnTsv7+fXXX9m5cyfly5e3DCSKlAZltXAlzeqnn35K7969ee+993j00Uct58AVKlTAw8Oj1NpzzzNLiaSnp5sBc3p6elk3xab17t3bDJgBs5OTk7latWrmsLAw88yZM805OTn5yiYkJJirV69urlChgrlNmzbmTz75xAyYs7Ky8pVbs2aNGTAvXLiwRG2YMmWKuVatWuby5cubg4ODzd98880Ny48dO9bcrFkzc+XKlc0uLi5mPz8/88CBA82//fabpUzt2rXN//73v/MtZzKZzDExMWaz2Ww+cOCAGTDv2LHDMt/Dw8P88ccfW15fvHjR3KVLF3OlSpXMQL55f7Vw4UKz0Wg0ly9f3tywYUPzypUrS/TexWxOSkpSVktAWd1hmX+zWc2r669/LVq0KNH7v9cpqyWnvO6wzL/ZvNauXbvQvOatS4qmrJZcWWd13bp1he7nvXv3LnKZjz76yNyqVStztWrVzOXLlzfXqlXL3KdPH/PBgwctZVq0aGF+7bXX8i3XqVOnfPUC5qVLl1pe/znLeSIjI81VqlQpNnvr1q0zBwYGmsuXL2/28/O74TmzXKeslpyyutTy+layWth7qF27drHvX5TXklJWl1pe32xWW7RoYfV7kOtKOhZsMJvN5psZlL/XbN++nSZNmpCenk5QUFBZN+eeMmfOHKKiovjll18oX758WTdHbNzcuXPp2bOnsloGlFWxhrJatpRXKSlltWwpq1JSymrZUlbFGspr2VFWxRolHQvWbWHEZmVnZ3Ps2DHGjRvHq6++qgOfiI1SVkXsh/IqYh+UVRH7oKyK2AdlVW4nPdBUbNaECROoX78+3t7eDBs2rKybIyJFUFZF7IfyKmIflFUR+6CsitgHZVVuJw2ui80aOXIkV65cYc2aNXrYmIgNU1ZF7IfyKmIflFUR+6CsitgHZVVuJw2ui4iIiIiIiIiIiIhYSYPrIiIiIiIiIiIiIiJW0uC6iIiIiIiIiIiIiIiVNLguIiIiIiIiIiIiImIlp5IWPHz4ML/99tvtbItNy8zMBCA5OdnybxGxPampqYCyKmLrlFUR+6CsitgHZVXEfiivIvbhwIEDJSpnMJvN5uIKHT58mICAALKzs2+5YfbM4GDAnFvs5hKRMubg4EBubm5ZN0NEiqGsitgHZVXEPujzqoj9UF5F7IPBwUDq16k0a9asyDIl+uX6b7/9RnZ2NklJSQQEBJRaA+1JcnIyw4cPp+f0nngZvcq6OSJShIwvM0gZk3JPH69E7EFev6qsitg2ZVXEPujzqoj9yPvMqryK2LYTP5wg6dUknJ2db1iuxLeFAQgICCAoKOiWGmav8i7V8TJ64WPyKePWiEhRTvxwAri3j1ci9iCvX1VWRWybsipiH/R5VcR+5H1mVV5F7g56oKmIiIiIiIiIiIiIiJU0uC4iIiIiIiIiIiIiYiUNrouIiIiIiIiIiIiIWEmD63LXG1R5EN+t/K6smwHYVltE7ibr16/HYDBw5syZsm6KTbVFxNbYUj5sqS0itsaW8mFLbRG5XWzpc6IttUXE1thSPmypLfe6Uhlc79OnDwaDgXHjxuWbvmzZMgwGQ2msotQtWbKEp556iipVqmAwGNi5c2dZN0mAA1sPEFU1io+6f1RqdcZmxtIgrEGp1SdyNyjN47avry+TJk0qcfm4uDgcHR2ZOHGiVeu5kccff5xjx47h4eFRanWK2AJlVcQ+KKsi9w59ZhWxD8qq3Cml9st1FxcXxo8fT1ZWVmlVCcDly5dLtb48v//+O0888QTjx4+/LfXLzdmStIXm/Zqzf/N+zh47Wyp1unu54+TsVCp1idxNbtdxuzgzZ85k6NChzJw5s9TqLF++PN7e3jb7ha7IrVBWReyDsipyb9BnVhH7oKzKnVJqg+thYWF4e3sTFxdXZJmRI0cSGBiYb9qkSZPw9fW1vO7Tpw/PPvssY8aMoUaNGvj7+wMwdepU6tWrh4uLC15eXnTt2tWyTG5uLnFxcdSpU4cKFSpgMplYtGjRDdvbq1cvRowYQVhYmPVvVm6LSxcusWPZDkJeDqFBeAO2zttqmZd9Jps5r8zh7XpvE10jmneavsOWuVsAuHr5KouGLmJEwAiGVB/CqIdHsfrfqy3L/vVSmQNbDjAhdAJDqg8h/sl4vlv5HYMqD+LIriMA7Pt6H4MqD+KHr34g/sl4oh+IZlKbSZzYdyJfe3cl7+Ldlu8ypPoQRjcezarxq8i5mmOZ/+v+X5ncfjJDqg8h7rE49q7be1u2m8jNKslxG2Dx4sU0bNgQZ2dnfH19iY+Pt8xr2bIlhw4dIioqCoPBUOyH8K+++oo//viD2NhYzp07x6ZNm/LN//bbb2nVqhVubm64u7vTpEkT0tLSADh06BAdOnTA09MTV1dXGjZsSHJyMlD4JeMzZszAx8eH++67j86dO5OQkEClSpUs8/P6pDlz5uDr64uHhwc9evTg/PnzljIl6V+Sk5MxGo1UqFCBVq1acfDgwRtuAxFrKavKqtgHZVVZlbufPrOK2AdlVe6kUvu6xdHRkbFjx/L8888zcOBAatasedN1rVmzBnd3d1avvrYDp6WlMXDgQObMmcPjjz/O6dOn2bhxo6V8XFwcSUlJTJs2jXr16rFhwwZ69uxJtWrVaNGixS2/N7kzdizbwf317sernhdNuzVl6VtLCYsKw2AwkDw2meN7j/PqwldxreLKbz/9xpWLVwDYMH0D36d8T++ZvfGs6cmZo2fIOlr4L4YunrvIjOdn0CC8AS9+9CKnfz7N0reXFlp25Tsr6TS6ExWrVGTh4IXMHzCf11a9BsD+zfuZ+4+5PDfuOfya+XHqwCkWRC0AoO0bbcnNzWXmizNxu9+NqNVRXDx3kaVvFb4ekbJSkuN2eno63bp1Y+TIkXTv3p1Nmzbxz3/+kypVqtCnTx+WLFmCyWTilVdeoV+/fsWuMzExkYiICMqVK0dERASJiYk8/vjjlvkvvPACjRs35sMPP8TR0ZGdO3dSrlw5APr378/ly5fZsGEDrq6uZGRkULFixULXk5qaSmRkJOPHj6djx458+eWXDB8+vEC5/fv3s2zZMlasWEFWVhbdunVj3LhxjBkzBii+f/n555957rnn6N+/P6+88gppaWkMHjy4RNtfpKSUVWVV7IOyqqzK3U+fWUXsg7Iqd1KpXsvQuXNnAgMDiYmJITEx8abrcXV15T//+Q/ly5cHrt0f3dXVlWeeeQY3Nzdq165N48aNAbh06RJjx47lyy+/pFmzZgD4+fnx9ddfM336dA2u25EtSVto+remANRvXZ8/zv3Bj6k/Uu+JemQdyeKBRg9Qq3EtAKrUqmJZLutoFtXqVsPvMT8MBgOVfSoXuY70xekYDAa6T+pOOZdyeNf35uyxsywYtKBA2fb/as+DIQ8CEDYojI+6f8SVi1co51KOzyd8TutBrQmOCAagqm9Vnn7raZaPXE7bN9ryw/ofOLHvBJGLIvGo7mGpb3q36aWzsURKSXHH7YSEBFq3bm35AG00GsnIyGDixIn06dOHypUr4+joiJubG97e3jdc17lz51i0aBGbN28GoGfPnjRv3pz33nvP8mH+8OHDREdHU79+fQDq1atnWf7w4cN06dKFRo0aAdeO9UWZMmUK7dq1Y8iQIZZ2b9q0iRUrVuQrl5uby6xZs3BzcwOuXdW0Zs0axowZU6L+5cMPP6Ru3bqWXx36+/uza9cu3XJMSp2yqqyKfVBWlVW5u+kzq4h9UFblTiq128LkGT9+PLNnzyYzM/Om62jUqJFlYB0gPDyc2rVr4+fnR69evZg7dy7Z2dkA/Pjjj2RnZxMeHk7FihUtf5988gn79++/5fcjd8aJfSc4tP0QQV2CAHB0cqRx58ZsSbp2aU7ISyHsWLqDCaETWB6znANbDliWDY4I5uiuo4wNHsviNxezZ+2eItdzct9JajSsQTmXcpZptZvULrRsjYY1LP9293IH4MJvFwA4+v1Rvpj4BUN9hlr+FgxawLnj57icfZkTP5zA8wFPy4EPwDfY18qtInJn3Oi4nZmZSUhISL5pISEh7Nu3j5ycnALlb2TevHnUrVsXk8kEQGBgILVr12bBgusnH6+//jp9+/YlLCyMcePG5TuODxw4kHfeeYeQkBBiYmL47ruin4y+d+9egoOD803762u49tC4vAEAgOrVq3Py5EmgZP1LZmYmjz76aL468wYMREqbsqqsin1QVpVVuTvpM6uIfVBW5U4r9bvwh4aG0qZNG4YNG0afPn3yzXNwcMBsNuebduXKlQJ1uLq65nvt5ubG9u3bWb9+PV988QUjRoxg5MiRbNu2jQsXru2MK1eu5IEHHsi3nLOzcym8I7kTtiRtIfdqLjENYizTzGYzTs5OdJnQhQbhDYj5NoaM1RnsXb+XqZ2n8sTfn6DT6E74mHwYsWMEGV9m8MNXPzDr5Vn4t/Dnpdkv3VKbHMr96bun/7vdZW5uLgCXf79M2zfb8vAzDxdYzslFD7cQ+3Kj43ZpSkxMZPfu3Tg5Xc9Ibm4uM2fO5O9//ztw7X6tzz//PCtXriQlJYWYmBjmz59P586d6du3L23atGHlypV88cUXxMXFER8fz4ABA266TXmXxucxGAyWnKt/EVujrF6nrIotU1avU1blbqLPrCL2QVmVO+22/C+NGzeOwMBAy8NI81SrVo3jx49jNpstD+fZuXNniep0cnIiLCyMsLAwYmJiqFSpEmvXriU8PBxnZ2cOHz6sW8DYqZyrOWxbsI1OoztRv1X9fPMSeyWyffF2Ql4KoWLVigRHBBMcEUxqs1SWj1hOp9GdAHBxdyHouSCCngvC1NHE9L9N5/es33H1zP9Fzf317iftszSuXrpqecLz4e2HrW5zzYdrcnLfSar5VSt0vpfRi6yjWZw9fhYP72vfLh7cdtDq9YjcKUUdtwMCAkhNTc03LTU1FaPRiKOjIwDly5cv9td2u3btIi0tjfXr11O58vVL606fPk3Lli3Zs2eP5ZJ1o9GI0WgkKiqKiIgIPv74Yzp37gyAj48PkZGRREZGMmzYMGbMmFHoIIC/vz/btm3LN+2vr4vToEGDYvuXgIAAli9fnm/aN998Y9V6RKyhrBakrIotUlYLUlbFnukzq4h9UFalLNyWwfVGjRrxwgsvMHny5HzTW7Zsya+//sqECRPo2rUrq1atIiUlBXd39xvWt2LFCn766SdCQ0Px9PQkOTmZ3Nxc/P39cXNzY8iQIURFRZGbm8sTTzzB2bNnSU1Nxd3dnd69exda5+nTpzl8+DC//PILcO1SRwBvb+9i728opWv357vJPpPNY70eo4J7hXzzHu7wMN8kfcPZY2fxCfTBu743Vy9dJePzDLyMXgCs+2Ad7t7u1GxUE4ODgW//+y3uXu5U8KhQYF1NujRh5TsrWRC1gNavtSbrSBZr318LYPnCpySein6KGREz8KzpiamjCYODgV++/4Vje47R/u32GFsaub/u/Xz6z0/pGNuRi+cvkjwm+Ra2ksjtVdRxe/DgwTzyyCOMHj2a7t27s3nzZt5//32mTp1qKePr68uGDRvo0aMHzs7OVK1atUD9iYmJBAcHExoaWmDeI488QmJiIrGxsURHR9O1a1fq1KnDkSNH2LZtG126dAFg0KBBtGvXDqPRSFZWFuvWrSMgIKDQ9zNgwABCQ0NJSEigQ4cOrF27lpSUFKtyXpL+JTIykvj4eKKjo+nbty/p6enMmjWrxOsQsZayWpCyKrZIWS1IWRV7ps+sIvZBWZWyUOr3XM8TGxtrucQhT0BAAFOnTuWDDz7AZDKxdetWy0NxbqRSpUosWbKEJ598koCAAKZNm8a8efNo2LAhAKNHj2b48OHExcUREBBA27ZtWblyJXXq1CmyzuXLl9O4cWPat28PQI8ePWjcuDHTpk27hXctN2NL0hb8W/gXOPABmDqY+HnHzzg4ObAidgUTmk9gyjNTMDga6J147YsTl4ourJ28lvjW8SS0TuD0z6d5ZcErODgU3L1d3F3o92k/ju46ysQWE0kek0yboW0ALN80lkRA6wD6zevH3nV7SQhLYNJTk1j/4Xoq17z2yyEHBwdenvMyVy5eISEsgfmvzefpt5++mc0jcscUdtwOCgpi4cKFzJ8/n4ceeogRI0YQGxub7zL32NhYDh48SN26dalWreC37ZcvXyYpKcnyYf6vunTpwieffIKDgwOnTp3ixRdfxGg00q1bN9q1a8eoUaMAyMnJoX///pbjvNFozDcY8WchISFMmzaNhIQETCYTq1atIioqChcXF6u2SXH9S61atVi8eDHLli3DZDIxbdo0xo4da9U6RKylrBakrIotUlYLUlbFXukzq4h9UFalLBjMf70JeiG2b99OkyZNSE9PJygo6E60y+bMnTuXnj17MnjdYHxMPmXdHClFaZ+lMe//zSPuYBzlK5QvfgGxaWmfpZH0atI9fbySwvXr1489e/awcePGsm6KcL1fVVblr5RV26KsSlGUVduiz6t3N31mvbvkfWZVXu8+yurd5edvfya+VXyx58G6M77cc7bO30pV36p4VPfg6PdH+d/I/xH4bKAOfCJ3mXfffZfw8HBcXV1JSUlh9uzZRf4iT0TKjrIqYh+UVZE7R59ZReyDsiqgwXW5B50/eZ6UuBTOnzyPu5c7gZ0Caf+v9mXdLBEpZVu3bmXChAmcP38ePz8/Jk+eTN++fcu6WSLyF8qqiH1QVkXuHH1mFbEPyqqABtflHtR6YGtaD2xd1s0Qkdts4cKFZd0EESkBZVXEPiirIneOPrOK2AdlVeA2PtBURERERERERERERORupcF1EREREREREREREREraXBdRERERERERERERMRKGlwXEREREREREREREbGSVQ80TU5OJjMz83a1xaalpqYCkPFlBid+OFHGrRGRovy05Sfg3j5eidiDvH5VWRWxbcqqiH3Q51UR+5H3mVV5FbFtpw6fKlE5g9lsNhdXaPPmzTRv3pycnJxbbpg9MzgYMOcWu7lEpIw5ODiQm5tb1s0QkWKoXxWxD8qqiH3QObCI/VBeReyDg6MDX2/8mmbNmhVZpkS/XHd2diYnJ4ekpCQCAgJKrYH2JDk5meHDh9Nzek+8jF5l3RwRKULGlxmkjEm5p49XIvZA/aqIfcjrV5VVEdumc2AR+5F3Hqy8iti2zMxMevbsibOz8w3LWXVbmICAAIKCgm6pYfYq7zJYL6MXPiafMm6NiBQl77K6e/l4JWIP1K+K2Ie8flVZFbFtOgcWsR9558HKq8jdQQ80FRERERERERERERGxkgbXRURERERERERERESspMF1uesNqjyI71Z+V9bNAGyrLSJ3k/Xr12MwGDhz5kxZN8Wm2iJyO9hSX2ZLbRGxNbaUD1tqi8jdxJbOO22pLSK2xpbyYUttuVuUyuB6nz59MBgMjBs3Lt/0ZcuWYTAYSmMVperKlSu88cYbNGrUCFdXV2rUqMGLL77IL7/8UtZNu+cd2HqAqKpRfNT9o1KrMzYzlgZhDUqtPpG7QWket319fZk0aVKJy8fFxeHo6MjEiROtWs+NPP744xw7dgwPD49Sq1PkbqB+VcQ+KKsid4bOgUXsg7Iq9qTUfrnu4uLC+PHjycrKKq0qAbh8+XKp1geQnZ3N9u3bGT58ONu3b2fJkiXs3buXjh07lvq6xDpbkrbQvF9z9m/ez9ljZ0ulTncvd5ycrXp2r8g94XYdt4szc+ZMhg4dysyZM0utzvLly+Pt7W2TX+iKlCX1qyL2QVkVuXN0DixiH5RVsRelNrgeFhaGt7c3cXFxRZYZOXIkgYGB+aZNmjQJX19fy+s+ffrw7LPPMmbMGGrUqIG/vz8AU6dOpV69eri4uODl5UXXrl0ty+Tm5hIXF0edOnWoUKECJpOJRYsWFdkODw8PVq9eTbdu3fD39+exxx7j/fffJz09ncOHD9/cBpBbdunCJXYs20HIyyE0CG/A1nlbLfOyz2Qz55U5vF3vbaJrRPNO03fYMncLAFcvX2XR0EWMCBjBkOpDGPXwKFb/e7Vl2b9ehnpgywEmhE5gSPUhxD8Zz3crv2NQ5UEc2XUEgH1f72NQ5UH88NUPxD8ZT/QD0UxqM4kT+07ka++u5F282/JdhlQfwujGo1k1fhU5V3Ms83/d/yuT209mSPUhxD0Wx951e2/LdhO5WSU5bgMsXryYhg0b4uzsjK+vL/Hx8ZZ5LVu25NChQ0RFRWEwGIo9Wfjqq6/4448/iI2N5dy5c2zatCnf/G+//ZZWrVrh5uaGu7s7TZo0IS0tDYBDhw7RoUMHPD09cXV1pWHDhiQnJwOFX9o2Y8YMfHx8uO++++jcuTMJCQlUqlTJMj+vT5ozZw6+vr54eHjQo0cPzp8/bylTkv4lOTkZo9FIhQoVaNWqFQcPHrzhNhC5U9SvitgHZVXkztI5sM6BxT4oq8qqvSi1nzI4OjoyduxYnn/+eQYOHEjNmjVvuq41a9bg7u7O6tXXTg7T0tIYOHAgc+bM4fHHH+f06dNs3LjRUj4uLo6kpCSmTZtGvXr12LBhAz179qRatWq0aNGiROs8e/YsBoMh344sd9aOZTu4v979eNXzomm3pix9aylhUWEYDAaSxyZzfO9xXl34Kq5VXPntp9+4cvEKABumb+D7lO/pPbM3njU9OXP0DFlHC/9m8+K5i8x4fgYNwhvw4kcvcvrn0yx9e2mhZVe+s5JOoztRsUpFFg5eyPwB83lt1WsA7N+8n7n/mMtz457Dr5kfpw6cYkHUAgDavtGW3NxcZr44E7f73YhaHcXFcxdZ+lbh6xEpKyU5bqenp9OtWzdGjhxJ9+7d2bRpE//85z+pUqUKffr0YcmSJZhMJl555RX69etX7DoTExOJiIigXLlyREREkJiYyOOPP26Z/8ILL9C4cWM+/PBDHB0d2blzJ+XKlQOgf//+XL58mQ0bNuDq6kpGRgYVK1YsdD2pqalERkYyfvx4OnbsyJdffsnw4cMLlNu/fz/Lli1jxYoVZGVl0a1bN8aNG8eYMWOA4vuXn3/+meeee47+/fvzyiuvkJaWxuDBg0u0/UVuN/WrIvZBWRW5s3QOrHNgsQ/KqrJqL0r1OsHOnTsTGBhITEwMiYmJN12Pq6sr//nPfyhfvjwAS5YswdXVlWeeeQY3Nzdq165N48aNAbh06RJjx47lyy+/pFmzZgD4+fnx9ddfM3369BINrl+8eJE33niDiIgI3N3db7rdcmu2JG2h6d+aAlC/dX3+OPcHP6b+SL0n6pF1JIsHGj1Arca1AKhSq4pluayjWVSrWw2/x/wwGAxU9qlc5DrSF6djMBjoPqk75VzK4V3fm7PHzrJg0IICZdv/qz0PhjwIQNigMD7q/hFXLl6hnEs5Pp/wOa0HtSY4IhiAqr5Vefqtp1k+cjlt32jLD+t/4MS+E0QuisSjuoelvundppfOxhIpJcUdtxMSEmjdurWlozcajWRkZDBx4kT69OlD5cqVcXR0xM3NDW9v7xuu69y5cyxatIjNmzcD0LNnT5o3b857771nOek4fPgw0dHR1K9fH4B69epZlj98+DBdunShUaNGwLVjfVGmTJlCu3btGDJkiKXdmzZtYsWKFfnK5ebmMmvWLNzc3ADo1asXa9asYcyYMSXqXz788EPq1q1r+XWEv78/u3btYvz48TfcFiJ3gvpVEfugrIrceToH1jmw2AdlVVm1B6V2W5g848ePZ/bs2WRmZt50HY0aNbIMrAOEh4dTu3Zt/Pz86NWrF3PnziU7OxuAH3/8kezsbMLDw6lYsaLl75NPPmH//v3FruvKlSt069YNs9nMhx9+eNNtlltzYt8JDm0/RFCXIAAcnRxp3LkxW5KuXfYa8lIIO5buYELoBJbHLOfAlgOWZYMjgjm66yhjg8ey+M3F7Fm7p8j1nNx3khoNa1DOpZxlWu0mtQstW6NhDcu/3b2ufely4bcLABz9/ihfTPyCoT5DLX8LBi3g3PFzXM6+zIkfTuD5gKflQwWAb7CvlVtF5M640XE7MzOTkJCQfNNCQkLYt28fOTk5BcrfyLx586hbty4mkwmAwMBAateuzYIF1z/Yv/766/Tt25ewsDDGjRuX7zg+cOBA3nnnHUJCQoiJieG7774rsI48e/fuJTg4ON+0v76Gaw+3yTtRAahevTonT54ESta/ZGZm8uijj+arM+/ERqQsqV8VsQ/KqkjZ0TmwzoHFPiiryqqtK/Un3ISGhtKmTRuGDRtGnz598s1zcHDAbDbnm3blypUCdbi6uuZ77ebmxvbt21m/fj1ffPEFI0aMYOTIkWzbto0LF66d6K1cuZIHHngg33LOzs43bGvewPqhQ4dYu3atfrVehrYkbSH3ai4xDWIs08xmM07OTnSZ0IUG4Q2I+TaGjNUZ7F2/l6mdp/LE35+g0+hO+Jh8GLFjBBlfZvDDVz8w6+VZ+Lfw56XZL91SmxzK/em7p/+7LVdubi4Al3+/TNs32/LwMw8XWM7JRQ+OEvtyo+N2aUpMTGT37t04OV3PSG5uLjNnzuTvf/87cO2+cs8//zwrV64kJSWFmJgY5s+fT+fOnenbty9t2rRh5cqVfPHFF8TFxREfH8+AAQNuuk15l/DlMRgMlpzfSv8iUtbUr4rYB2VVpOzoHPg6nQOLLVNWr1NWbdNtOQMaN24cgYGBloeR5qlWrRrHjx/HbDZbHiKwc+fOEtXp5OREWFgYYWFhxMTEUKlSJdauXUt4eDjOzs4cPny4xPdXh+sD6/v27WPdunVUqVKl+IXktsi5msO2BdvoNLoT9VvVzzcvsVci2xdvJ+SlECpWrUhwRDDBEcGkNktl+YjldBrdCQAXdxeCngsi6LkgTB1NTP/bdH7P+h1Xz/xf1Nxf737SPkvj6qWrODlf2/0Pb7f+IbY1H67JyX0nqeZXrdD5XkYvso5mcfb4WTy8r/1y5+C2g1avR+ROKeq4HRAQQGpqar5pqampGI1GHB0dgWtPPi/uVwG7du0iLS2N9evXU7ny9cvWT58+TcuWLdmzZ4/l0jqj0YjRaCQqKoqIiAg+/vhjOnfuDICPjw+RkZFERkYybNgwZsyYUejJir+/P9u2bcs37a+vi9OgQYNi+5eAgACWL1+eb9o333xj1XpESpv6VRH7oKyKlD2dAxekc2CxRcpqQcqq7bgtg+uNGjXihRdeYPLkyfmmt2zZkl9//ZUJEybQtWtXVq1aRUpKSrG/GF+xYgU//fQToaGheHp6kpycTG5uLv7+/ri5uTFkyBCioqLIzc3liSee4OzZs6SmpuLu7k7v3r0L1HflyhW6du3K9u3bWbFiBTk5ORw/fhyAypUr57sljdx+uz/fTfaZbB7r9RgV3Cvkm/dwh4f5Jukbzh47i0+gD971vbl66SoZn2fgZfQCYN0H63D3dqdmo5oYHAx8+99vcfdyp4JHhQLratKlCSvfWcmCqAW0fq01WUeyWPv+WoBinxr9Z09FP8WMiBl41vTE1NGEwcHAL9//wrE9x2j/dnuMLY3cX/d+Pv3np3SM7cjF8xdJHpN8C1tJ5PYq6rg9ePBgHnnkEUaPHk337t3ZvHkz77//PlOnTrWU8fX1ZcOGDfTo0QNnZ2eqVq1aoP7ExESCg4MJDQ0tMO+RRx4hMTGR2NhYoqOj6dq1K3Xq1OHIkSNs27aNLl26ADBo0CDatWuH0WgkKyuLdevWERAQUOj7GTBgAKGhoSQkJNChQwfWrl1LSkqKVTkvSf8SGRlJfHw80dHR9O3bl/T0dGbNmlXidYjcDupXReyDsipS9nQOXJDOgcUWKasFKau2o9TvuZ4nNjbWcqlCnoCAAKZOncoHH3yAyWRi69atlpv330ilSpVYsmQJTz75JAEBAUybNo158+bRsGFDAEaPHs3w4cOJi4sjICCAtm3bsnLlSurUqVNofUePHmX58uUcOXKEwMBAqlevbvnbtGnTrb95scqWpC34t/Av8KECwNTBxM87fsbByYEVsSuY0HwCU56ZgsHRQO/Ea1+cuFR0Ye3ktcS3jiehdQKnfz7NKwtewcGh4O7t4u5Cv0/7cXTXUSa2mEjymGTaDG0DYPkVT0kEtA6g37x+7F23l4SwBCY9NYn1H66ncs1r33A6ODjw8pyXuXLxCglhCcx/bT5Pv/30zWwekTumsON2UFAQCxcuZP78+Tz00EOMGDGC2NjYfJfjxcbGcvDgQerWrUu1agV/yXb58mWSkpIsJx1/1aVLFz755BMcHBw4deoUL774IkajkW7dutGuXTtGjRoFQE5ODv3797cc541GY76Tpj8LCQlh2rRpJCQkYDKZWLVqFVFRUbi4uFi1TYrrX2rVqsXixYtZtmwZJpOJadOmMXbsWKvWIVLa1K+K2AdlVcQ26By4IJ0Diy1SVgtSVm2DwfzXm6AXYvv27TRp0oT09HSCgoLuRLtszty5c+nZsyeD1w3Gx+RT1s2RUpT2WRrz/t884g7GUb6Crlqwd2mfpZH0atI9fbySwvXr1489e/awcePGsm6KoH71bqZ+9e6S168qq3cfZfXuonNgKYrOgW1P3nmw8ip/pqzanpKOh+upM3LP2Tp/K1V9q+JR3YOj3x/lfyP/R+CzgfpQIXKXeffddwkPD8fV1ZWUlBRmz55d5C8HROTmqV8VsQ/Kqsi9QefAIvZBWb17aHBd7jnnT54nJS6F8yfP4+7lTmCnQNr/q31ZN0tEStnWrVuZMGEC58+fx8/Pj8mTJ9O3b9+ybpbIXUf9qoh9UFZF7g06BxaxD8rq3UOD63LPaT2wNa0Hti7rZojIbbZw4cKyboLIPUH9qoh9UFZF7g06BxaxD8rq3eO2PdBURERERERERERERORupcF1EREREREREREREREraXBdRERERERERERERMRKGlwXEREREREREREREbGSVQ80TU5OJjMz83a1xaalpqYCkPFlBid+OFHGrRGRovy05Sfg3j5eidgD9asi9iGvX1VWRWybzoFF7EfeebDyKmLbDhw4UKJyBrPZbC6u0ObNm2nevDk5OTm33DB75uDgQG5ublk3Q0SKYXAwYM4t9tAmImVMWRWxDzoHFrEPyqqI/VBeReyDo6MjGzdupFmzZkWWKdEv152dncnJySEpKYmAgIBSa6A9SU5OZvjw4ff0NhCxB3lZ7Tm9J15Gr7JujogUIePLDFLGpCirIjYuL6s6Bxaxbfq8KmI/lFcR+5CZmUnPnj1xdna+YTmrbgsTEBBAUFDQLTXMXuVdqnMvbwMRe5CXVS+jFz4mnzJujYgUJe/2EsqqiG3Ly6rOgUVsmz6vitgP5VXk7qIHmoqIiIiIiIiIiIiIWEmD6yIiIiIiIiIiIiIiVtLguoiIiIiIiIiIiIiIlTS4LlKE9evXYzAYOHPmTFk3xabaInK7DKo8iO9WflfWzQBsqy0itsaW8mFLbRG5m9jSuacttUXE1thSPmypLSK2xpbyYUttuVuUyuB6nz59MBgMjBs3Lt/0ZcuWYTAYSmMVpW7kyJHUr18fV1dXPD09CQsLY8uWLWXdLLtWmvuBr68vkyZNKnH5uLg4HB0dmThxolXruZHHH3+cY8eO4eHhUWp1itwtDmw9QFTVKD7q/lGp1RmbGUuDsAalVp+IKKsid4rOg0Xsg7IqYh+UVbEnpfbLdRcXF8aPH09WVlZpVQnA5cuXS7W+PEajkffff59du3bx9ddf4+vry1NPPcWvv/56W9Z3r7hd+0FxZs6cydChQ5k5c2ap1Vm+fHm8vb1t9gsikbK0JWkLzfs1Z//m/Zw9drZU6nT3csfJ2alU6hKRa5RVkTtH58Ei9kFZFbEPyqrYi1IbXA8LC8Pb25u4uLgiy4wcOZLAwMB80yZNmoSvr6/ldZ8+fXj22WcZM2YMNWrUwN/fH4CpU6dSr149XFxc8PLyomvXrpZlcnNziYuLo06dOlSoUAGTycSiRYtu2N7nn3+esLAw/Pz8aNiwIQkJCZw7d47vvtOlxbeiJPsBwOLFi2nYsCHOzs74+voSHx9vmdeyZUsOHTpEVFQUBoOh2IPPV199xR9//EFsbCznzp1j06ZN+eZ/++23tGrVCjc3N9zd3WnSpAlpaWkAHDp0iA4dOuDp6YmrqysNGzYkOTkZKPxSmRkzZuDj48N9991H586dSUhIoFKlSpb5efv4nDlz8PX1xcPDgx49enD+/HlLmZLsr8nJyRiNRipUqECrVq04ePDgDbeByJ106cIldizbQcjLITQIb8DWeVst87LPZDPnlTm8Xe9tomtE807Td9gy99pVQVcvX2XR0EWMCBjBkOpDGPXwKFb/e7Vl2b/e3uHAlgNMCJ3AkOpDiH8ynu9WfsegyoM4susIAPu+3segyoP44asfiH8ynugHopnUZhIn9p3I195dybt4t+W7DKk+hNGNR7Nq/CpyruZY5v+6/1cmt5/MkOpDiHssjr3r9t6W7SZypymrIneWzoN1Hiz2QVlVVsU+KKvKqr0otZ8dOTo6MnbsWJ5//nkGDhxIzZo1b7quNWvW4O7uzurV1z7IpaWlMXDgQObMmcPjjz/O6dOn2bhxo6V8XFwcSUlJTJs2jXr16rFhwwZ69uxJtWrVaNGiRbHru3z5Mh999BEeHh6YTKabbreUbD9IT0+nW7dujBw5ku7du7Np0yb++c9/UqVKFfr06cOSJUswmUy88sor9OvXr9h1JiYmEhERQbly5YiIiCAxMZHHH3/cMv+FF16gcePGfPjhhzg6OrJz507KlSsHQP/+/bl8+TIbNmzA1dWVjIwMKlasWOh6UlNTiYyMZPz48XTs2JEvv/yS4cOHFyi3f/9+li1bxooVK8jKyqJbt26MGzeOMWPGAMXvrz///DPPPfcc/fv355VXXiEtLY3BgweXaPuL3Ak7lu3g/nr341XPi6bdmrL0raWERYVhMBhIHpvM8b3HeXXhq7hWceW3n37jysUrAGyYvoHvU76n98zeeNb05MzRM2QdLfxXCBfPXWTG8zNoEN6AFz96kdM/n2bp20sLLbvynZV0Gt2JilUqsnDwQuYPmM9rq14DYP/m/cz9x1yeG/ccfs38OHXgFAuiFgDQ9o225ObmMvPFmbjd70bU6igunrvI0rcKX4+IvVFWRe4snQfrPFjsg7KqrIp9UFaVVXtRqtf0du7cmcDAQGJiYkhMTLzpelxdXfnPf/5D+fLlAViyZAmurq4888wzuLm5Ubt2bRo3bgzApUuXGDt2LF9++SXNmjUDwM/Pj6+//prp06ffcHB9xYoV9OjRg+zsbKpXr87q1aupWrXqTbdbriluP0hISKB169aWA4fRaCQjI4OJEyfSp08fKleujKOjI25ubnh7e99wXefOnWPRokVs3rwZgJ49e9K8eXPee+89y0Hs8OHDREdHU79+fQDq1atnWf7w4cN06dKFRo0aAdf2naJMmTKFdu3aMWTIEEu7N23axIoVK/KVy83NZdasWbi5uQHQq1cv1qxZw5gxY0q0v3744YfUrVvX8m2rv78/u3btYvz48TfcFiJ3ypakLTT9W1MA6reuzx/n/uDH1B+p90Q9so5k8UCjB6jVuBYAVWpVsSyXdTSLanWr4feYHwaDgco+lYtcR/ridAwGA90ndaecSzm863tz9thZFgxaUKBs+3+158GQBwEIGxTGR90/4srFK5RzKcfnEz6n9aDWBEcEA1DVtypPv/U0y0cup+0bbflh/Q+c2HeCyEWReFT3sNQ3vdv00tlYImVIWRW583QerPNgsQ/KqrIq9kFZVVbtQandFibP+PHjmT17NpmZmTddR6NGjSwD6wDh4eHUrl0bPz8/evXqxdy5c8nOzgbgxx9/JDs7m/DwcCpWrGj5++STT9i/f/8N19OqVSt27tzJpk2baNu2Ld26dePkyZM33W657kb7QWZmJiEhIfmmhYSEsG/fPnJycgqUv5F58+ZRt25dyxUHgYGB1K5dmwULrn+of/311+nbty9hYWGMGzcu334xcOBA3nnnHUJCQoiJibnhbYH27t1LcHBwvml/fQ3XHpaRd+ADqF69umW/Ksn+mpmZyaOPPpqvzrwDpUhZO7HvBIe2HyKoSxAAjk6ONO7cmC1J124nEfJSCDuW7mBC6ASWxyznwJYDlmWDI4I5uusoY4PHsvjNxexZu6fI9Zzcd5IaDWtQzqWcZVrtJrULLVujYQ3Lv9293AG48NsFAI5+f5QvJn7BUJ+hlr8FgxZw7vg5Lmdf5sQPJ/B8wNMyWAfgG+xr5VYRsT3KqkjZ0XmwzoPFPiiryqrYB2VVWbV1pT64HhoaSps2bRg2bFjBlTk4YDab8027cuVKgXKurq75Xru5ubF9+3bmzZtH9erVGTFiBCaTiTNnznDhwrUPZStXrmTnzp2Wv4yMjGLvu+7q6sqDDz7IY489RmJiIk5OTrf0i3u57kb7QWlKTExk9+7dODk5Wf4yMjLyPXhi5MiR7N69m/bt27N27VoaNGjA0qXXLiXv27cvP/30E7169WLXrl00bdqUKVOm3FKb8i4JymMwGMjNzQW4pf1VxBZsSdpC7tVcYhrE8Hq113m92uukzkzl2/99yx/n/qBBeANivo2h5T9acvb4WaZ2nsp/h/8XAB+TDyN2jKDdsHZc+eMKs16exce9P77lNjmU+1NX9n+30MvL3OXfL9P2zbZEfxVt+Rv69VDeTnsbJxc9kFHuXsqqSNnRefB1Og8WW6asXqesii1TVq9TVm3Tbfm0Mm7cOAIDAy0PI81TrVo1jh8/jtlstjxEYOfOnSWq08nJibCwMMLCwoiJiaFSpUqsXbuW8PBwnJ2dOXz4cInur34jubm5XLp06ZbqkOuK2g8CAgJITU3NNy01NRWj0YijoyNw7UnKxX3LuGvXLtLS0li/fj2VK1+/ZP306dO0bNmSPXv2WC7VMRqNGI1GoqKiiIiI4OOPP6Zz584A+Pj4EBkZSWRkJMOGDWPGjBkMGDCgwPr8/f3Ztm1bvml/fV2cBg0aFLu/BgQEsHz58nzTvvnmG6vWI3I75FzNYduCbXQa3Yn6rernm5fYK5Hti7cT8lIIFatWJDgimOCIYFKbpbJ8xHI6je4EgIu7C0HPBRH0XBCmjiam/206v2f9jqtn/i9V7693P2mfpXH10lWcnK91VYe3H7a6zTUfrsnJfSep5let0PleRi+yjmZx9vhZPLyv/SL24LaDVq9HxJYoqyJlT+fBBek8WGyRslqQsiq2SFktSFm1HbdlcL1Ro0a88MILTJ48Od/0li1b8uuvvzJhwgS6du3KqlWrSElJwd3d/Yb1rVixgp9++onQ0FA8PT1JTk4mNzcXf39/3NzcGDJkCFFRUeTm5vLEE09w9uxZUlNTcXd3p3fv3gXq+/333xkzZgwdO3akevXq/Pbbb3zwwQccPXqUv/3tb6W6Le5lRe0HgwcP5pFHHmH06NF0796dzZs38/777zN16lRLGV9fXzZs2ECPHj1wdnYu9F74iYmJBAcHExoaWmDeI488QmJiIrGxsURHR9O1a1fq1KnDkSNH2LZtG126dAFg0KBBtGvXDqPRSFZWFuvWrSMgIKDQ9zNgwABCQ0NJSEigQ4cOrF27lpSUlGKfNv1nJdlfIyMjiY+PJzo6mr59+5Kens6sWbNKvA6R22X357vJPpPNY70eo4J7hXzzHu7wMN8kfcPZY2fxCfTBu743Vy9dJePzDLyMXgCs+2Ad7t7u1GxUE4ODgW//+y3uXu5U8KhQYF1NujRh5TsrWRC1gNavtSbrSBZr318LYFXmnop+ihkRM/Cs6YmpowmDg4Ffvv+FY3uO0f7t9hhbGrm/7v18+s9P6RjbkYvnL5I8JvkWtpJI2VNWRcqezoML0nmw2CJltSBlVWyRslqQsmo7Sv22MHliY2MtlyrkCQgIYOrUqXzwwQeYTCa2bt1quXn/jVSqVIklS5bw5JNPEhAQwLRp05g3bx4NGzYEYPTo0QwfPpy4uDgCAgJo27YtK1eupE6dOoXW5+joyJ49e+jSpQtGo5EOHTpw6tQpNm7caKlTSkdh+0FQUBALFy5k/vz5PPTQQ4wYMYLY2Fj69OmTb7mDBw9St25dqlUr+Cu2y5cvk5SUZDmI/VWXLl345JNPcHBw4NSpU7z44osYjUa6detGu3btGDVqFAA5OTn079/fst8YjcZ8B+E/CwkJYdq0aSQkJGAymVi1ahVRUVG4uLhYtU2K219r1arF4sWLWbZsGSaTiWnTpjF27Fir1iFyO2xJ2oJ/C/8Cg3UApg4mft7xMw5ODqyIXcGE5hOY8swUDI4Geide+5LTpaILayevJb51PAmtEzj982leWfAKDg4FuyIXdxf6fdqPo7uOMrHFRJLHJNNmaBsAy69jSyKgdQD95vVj77q9JIQlMOmpSaz/cD2Va177NYKDgwMvz3mZKxevkBCWwPzX5vP020/fzOYRsRnKqoht0HlwQToPFlukrBakrIotUlYLUlZtg8H815ugF2L79u00adKE9PR0goKC7kS7bM7cuXPp2bPnPb0NpKB+/fqxZ88eNm7cWNZNkf+Tl9XB6wbjY/Ip6+ZIKUr7LI15/28ecQfjKF+hfPELiE1L+yyNpFeTlNW7kLJ6d8nLqs6B5a90Hmxb9HlViqKs2h7lVQqjrNqeko6H6wlRIlZ49913CQ8Px9XVlZSUFGbPnl3kN5Eicmu2zt9KVd+qeFT34Oj3R/nfyP8R+GygButEbIyyKnJv0HmwiH1QVkXsg7J699DguogVtm7dyoQJEzh//jx+fn5MnjyZvn37lnWzRO5K50+eJyUuhfMnz+Pu5U5gp0Da/6t9WTdLRP5CWRW5N+g8WMQ+KKsi9kFZvXtocF3ECgsXLizrJojcM1oPbE3rga3LuhkiUgxlVeTeoPNgEfugrIrYB2X17nHbHmgqIiIiIiIiIiIiInK30uC6iIiIiIiIiIiIiIiVNLguIiIiIiIiIiIiImIlq+65npycTGZm5u1qi01LTU0F7u1tIGIP8rKa8WUGJ344UcatEZGi/LTlJ0BZFbF1eVnVObCIbdPnVRH7obyK2IcDBw6UqJzBbDabiyu0efNmmjdvTk5Ozi03zJ45ODiQm5tb1s0QkWIYHAyYc4s9tIlIGVO/KmIflFUR+6CsitgP5VXEPjg6OrJx40aaNWtWZJkS/XLd2dmZnJwckpKSCAgIKLUG2pPk5GSGDx9+T28DEXuQl9We03viZfQq6+aISBEyvswgZUyK+lURG6dzYBH7oKyK2A/lVcQ+ZGZm0rNnT5ydnW9YzqrbwgQEBBAUFHRLDbNXeZfq3MvbQMQe5GXVy+iFj8mnjFsjIkXJuxWM+lUR26ZzYBH7oKyK2A/lVeTuogeaioiIiIiIiIiIiIhYSYPrIiIiIiIiIiIiIiJW0uC6iIiIiIiIiIiIiIiVNLguUoT169djMBg4c+ZMWTfFptoicrsMqjyI71Z+V9bNAGyrLSJ3E1vqz2ypLSK2xpbyYUttEbE1tpQPW2qLiK2xpXzYUlvuFqUyuN6nTx8MBgPjxo3LN33ZsmUYDIbSWMVtFRkZicFgYNKkSWXdFLtWmvuBr6+vVf8fcXFxODo6MnHiRKvWcyOPP/44x44dw8PDo9TqFLlbHNh6gKiqUXzU/aNSqzM2M5YGYQ1KrT6Ru4H6VhH7oKyK2AdlVcQ+KKtiT0rtl+suLi6MHz+erKys0qoSgMuXL5dqfX+1dOlSvvnmG2rUqHFb13OvuF37QXFmzpzJ0KFDmTlzZqnVWb58eby9ve3iCyKRO21L0haa92vO/s37OXvsbKnU6e7ljpOzU6nUJXI3Ud8qYh+UVRH7oKyK2AdlVexFqQ2uh4WF4e3tTVxcXJFlRo4cSWBgYL5pkyZNwtfX1/K6T58+PPvss4wZM4YaNWrg7+8PwNSpU6lXrx4uLi54eXnRtWtXyzK5ubnExcVRp04dKlSogMlkYtGiRcW2+ejRowwYMIC5c+dSrlw5696wFKok+wHA4sWLadiwIc7Ozvj6+hIfH2+Z17JlSw4dOkRUVBQGg6HYg89XX33FH3/8QWxsLOfOnWPTpk355n/77be0atUKNzc33N3dadKkCWlpaQAcOnSIDh064OnpiaurKw0bNiQ5ORko/FKZGTNm4OPjw3333Ufnzp1JSEigUqVKlvl5+/icOXPw9fXFw8ODHj16cP78eUuZkuyvycnJGI1GKlSoQKtWrTh48OANt4HInXTpwiV2LNtByMshNAhvwNZ5Wy3zss9kM+eVObxd722ia0TzTtN32DJ3CwBXL19l0dBFjAgYwZDqQxj18ChW/3u1Zdm/3orlwJYDTAidwJDqQ4h/Mp7vVn7HoMqDOLLrCAD7vt7HoMqD+OGrH4h/Mp7oB6KZ1GYSJ/adyNfeXcm7eLfluwypPoTRjUezavwqcq7mWOb/uv9XJrefzJDqQ4h7LI696/belu0mcrPUt6pvFfugrCqrYh+UVWVV7IOyqqzai1IbXHd0dGTs2LFMmTKFI0eO3FJda9asYe/evaxevZoVK1aQlpbGwIEDiY2NZe/evaxatYrQ0FBL+bi4OD755BOmTZvG7t27iYqKomfPnnz11VdFriM3N5devXoRHR1Nw4YNb6m9cl1J9oP09HS6detGjx492LVrFyNHjmT48OHMmjULgCVLllCzZk1iY2M5duwYx44du+E6ExMTiYiIoFy5ckRERJCYmJhv/gsvvEDNmjXZtm0b6enpvPnmm5YvU/r378+lS5fYsGEDu3btYvz48VSsWLHQ9aSmphIZGclrr73Gzp07CQ8PZ8yYMQXK7d+/n2XLlrFixQpWrFjBV199le9SpuL2159//pnnnnuODh06sHPnTvr27cubb755w20gciftWLaD++vdj1c9L5p2a8qWuVswm80AJI9N5vje47y68FXe/OZN/vbu33Ct4grAhukb+D7le3rP7M1bW9+i10e9qFyrcqHruHjuIjOen0GNBjUYsm4I7Ya143+j/ldo2ZXvrKTT6E4MXjMYBycH5g+Yb5m3f/N+5v5jLqGvhvLm5jfpltCNrfO2sjr+2qB+bm4uM1+ciVN5J6JWR9EtoVuR6xEpK+pb1beKfVBWlVWxD8qqsir2QVlVVu1FqV5/37lzZwIDA4mJiSmwA1rD1dWV//znP5QvXx64FgZXV1eeeeYZ3NzcqF27No0bNwbg0qVLjB07li+//JJmzZoB4Ofnx9dff8306dNp0aJFoesYP348Tk5ODBw48KbbKYUrbj9ISEigdevWDB8+HACj0UhGRgYTJ06kT58+VK5cGUdHR9zc3PD29r7hus6dO8eiRYvYvHkzAD179qR58+a89957loPY4cOHiY6Opn79+gDUq1fPsvzhw4fp0qULjRo1Aq7tO0WZMmUK7dq1Y8iQIZZ2b9q0iRUrVuQrl5uby6xZs3BzcwOgV69erFmzhjFjxpRof/3www+pW7eu5dtWf39/y4FZxBZsSdpC0781BaB+6/r8ce4Pfkz9kXpP1CPrSBYPNHqAWo1rAVClVhXLcllHs6hWtxp+j/lhMBio7FP4wDpA+uJ0DAYD3Sd1p5xLObzre3P22FkWDFpQoGz7f7XnwZAHAQgbFMZH3T/iysUrlHMpx+cTPqf1oNYERwQDUNW3Kk+/9TTLRy6n7Rtt+WH9D5zYd4LIRZF4VPew1De92/TS2VgipUR9q/pWsQ/KqrIq9kFZVVbFPiiryqo9KLVfrucZP348s2fPJjMz86braNSokWVgHSA8PJzatWvj5+dHr169mDt3LtnZ2QD8+OOPZGdnEx4eTsWKFS1/n3zyCfv37y+0/vT0dN577z1mzZql+x3dJjfaDzIzMwkJCck3LSQkhH379pGTk1Og/I3MmzePunXrYjKZAAgMDKR27dosWHB9AO7111+nb9++hIWFMW7cuHz7xcCBA3nnnXcICQkhJiaG7777rsA68uzdu5fg4OB80/76Gq49LCPvwAdQvXp1Tp48CZRsf83MzOTRRx/NV2fegVKkrJ3Yd4JD2w8R1CUIAEcnRxp3bsyWpGu3fgl5KYQdS3cwIXQCy2OWc2DLAcuywRHBHN11lLHBY1n85mL2rN1T5HpO7jtJjYY1KOdy/ZZdtZvULrRsjYbXn5nh7uUOwIXfLgBw9PujfDHxC4b6DLX8LRi0gHPHz3E5+zInfjiB5wOeloF1AN9gXyu3isidob5VfavYB2VVWRX7oKwqq2IflFVl1daV+uB6aGgobdq0YdiwYQVX5uBguXVAnitXrhQo5+rqmu+1m5sb27dvZ968eVSvXp0RI0ZgMpk4c+YMFy5cG0BZuXIlO3futPxlZGQUed/1jRs3cvLkSWrVqoWTkxNOTk4cOnSIwYMH57v/u9y8G+0HpSkxMZHdu3db/h+dnJzIyMjI9+CJkSNHsnv3btq3b8/atWtp0KABS5cuBaBv37789NNP9OrVi127dtG0aVOmTJlyS2366/37DQYDubm5ADe1v4rYki1JW8i9mktMgxher/Y6r1d7ndSZqXz7v2/549wfNAhvQMy3MbT8R0vOHj/L1M5T+e/w/wLgY/JhxI4RtBvWjit/XGHWy7P4uPfHt9wmh3J/6sr+7/vSvMxd/v0ybd9sS/RX0Za/oV8P5e20t3Fy0cNTxb6ob71OfavYMmX1OmVVbJmyep2yKrZMWb1OWbVNt2VkYdy4cQQGBloeRpqnWrVqHD9+HLPZbPnF+M6dO0tUp5OTE2FhYYSFhRETE0OlSpVYu3Yt4eHhODs7c/jw4SJvAfNXvXr1IiwsLN+0Nm3a0KtXL1566aUS1SHFK2o/CAgIIDU1Nd+01NRUjEYjjo6OwLUnKRf3LeOuXbtIS0tj/fr1VK58/fYSp0+fpmXLluzZs8dyqY7RaMRoNBIVFUVERAQff/wxnTt3BsDHx4fIyEgiIyMZNmwYM2bMYMCAAQXW5+/vz7Zt2/JN++vr4jRo0KDY/TUgIIDly5fnm/bNN99YtR6R2yHnag7bFmyj0+hO1G9VP9+8xF6JbF+8nZCXQqhYtSLBEcEERwST2iyV5SOW02l0JwBc3F0Iei6IoOeCMHU0Mf1v0/k963dcPfN/qXp/vftJ+yyNq5eu4uR8ras6vP2w1W2u+XBNTu47STW/aoXO9zJ6kXU0i7PHz+Lhfe3X6we3HbR6PSJ3ivrWgtS3ii1SVgtSVsUWKasFKatii5TVgpRV23FbBtcbNWrECy+8wOTJk/NNb9myJb/++isTJkyga9eurFq1ipSUFNzd3W9Y34oVK/jpp58IDQ3F09OT5ORkcnNz8ff3x83NjSFDhhAVFUVubi5PPPEEZ8+eJTU1FXd3d3r37l2gvipVqlClSpV808qVK4e3t3eBoMrNK2o/GDx4MI888gijR4+me/fubN68mffff5+pU6dayvj6+rJhwwZ69OiBs7MzVatWLVB/YmIiwcHB+R5um+eRRx4hMTGR2NhYoqOj6dq1K3Xq1OHIkSNs27aNLl26ADBo0CDatWuH0WgkKyuLdevWERAQUOj7GTBgAKGhoSQkJNChQwfWrl1LSkqKVbcWKsn+GhkZSXx8PNHR0fTt25f09HTLwzhEytLuz3eTfSabx3o9RgX3CvnmPdzhYb5J+oazx87iE+iDd31vrl66SsbnGXgZvQBY98E63L3dqdmoJgYHA9/+91vcvdyp4FGhwLqadGnCyndWsiBqAa1fa03WkSzWvr8WwKrMPRX9FDMiZuBZ0xNTRxMGBwO/fP8Lx/Yco/3b7TG2NHJ/3fv59J+f0jG2IxfPXyR5TPItbCWR20t9a0HqW8UWKasFKatii5TVgpRVsUXKakHKqu0o9dvC5ImNjbVcqpAnICCAqVOn8sEHH2Aymdi6davl5v03UqlSJZYsWcKTTz5JQEAA06ZNY968eTRs2BCA0aNHM3z4cOLi4ggICKBt27asXLmSOnXq3Jb3JiVX2H4QFBTEwoULmT9/Pg899BAjRowgNjaWPn365Fvu4MGD1K1bl2rVCv7i9PLlyyQlJVkOYn/VpUsXPvnkExwcHDh16hQvvvgiRqORbt260a5dO0aNGgVATk4O/fv3t+w3RqMx30H4z0JCQpg2bRoJCQmYTCZWrVpFVFQULi4uVm2T4vbXWrVqsXjxYpYtW4bJZGLatGmMHTvWqnWI3A5bkrbg38K/wMA6gKmDiZ93/IyDkwMrYlcwofkEpjwzBYOjgd6J177kdKnowtrJa4lvHU9C6wRO/3yaVxa8goNDwa7Ixd2Ffp/24+iuo0xsMZHkMcm0GdoGwPJL9pIIaB1Av3n92LtuLwlhCUx6ahLrP1xP5ZrXfo3g4ODAy3Ne5srFKySEJTD/tfk8/fbTN7N5RO4Y9a0FqW8VW6SsFqSsii1SVgtSVsUWKasFKau2wWD+603QC7F9+3aaNGlCeno6QUFBd6JdNmfu3Ln07Nnznt4GUlC/fv3Ys2cPGzduLOumyP/Jy+rgdYPxMfmUdXOkFKV9lsa8/zePuINxlK9QvvgFxKalfZZG0qtJ6lelAPWttkXnwFIUZdW2KKtSFGXV9iivUhhl1faUdDxcT3MTscK7775LeHg4rq6upKSkMHv27CK/iRSRW7N1/laq+lbFo7oHR78/yv9G/o/AZwM1sC5yl1HfKmIflFUR+6CsitgHZfXuocF1ESts3bqVCRMmcP78efz8/Jg8eTJ9+/Yt62aJ3JXOnzxPSlwK50+ex93LncBOgbT/V/uybpaIlDL1rSL2QVkVsQ/Kqoh9UFbvHhpcF7HCwoULy7oJIveM1gNb03pg67JuhojcZupbReyDsipiH5RVEfugrN49btsDTUVERERERERERERE7lYaXBcRERERERERERERsZIG10VERERERERERERErKTBdRERERERERERERERK1n1QNPk5GQyMzNvV1tsWmpqKnBvbwMRe5CX1YwvMzjxw4kybo2IFOWnLT8B6ldFbJ3OgUXsg7IqYj+UVxH7cODAgRKVM5jNZnNxhTZv3kzz5s3Jycm55YbZMwcHB3Jzc8u6GSJSDGVVxD4oqyL2QVkVsQ8GBwPm3GI/3ouIDVDfKmIfHB0d2bhxI82aNSuyTIl+ue7s7ExOTg5JSUkEBASUWgPtSXJyMsOHD7+nt4GIPVBWReyDsipiH5RVEfuQl9We03viZfQq6+aIyA1kfJlBypgU9a0iNi4zM5OePXvi7Ox8w3JW3RYmICCAoKCgW2qYvcq7VOde3gYi9kBZFbEPyqqIfVBWRexDXla9jF74mHzKuDUiciN5ty9V3ypyd9ADTUVERERERERERERErKTBdRERERERERERERERK2lwXURERERERERERETEShpcFynC+vXrMRgMnDlzpqybYlNtEbFFtpQRW2qLiK2xpXzYUltEbI0t5cOW2iJyuwyqPIjvVn5X1s0AbKstIncLW+rLbKktd4tSGVzv06cPBoOBcePG5Zu+bNkyDAZDaayi1OW1+c9/bdu2Letm2bXS3A98fX2ZNGlSicvHxcXh6OjIxIkTrVrPjTz++OMcO3YMDw+PUqtTxFYoryL2QVkVsQ/Kqsi948DWA0RVjeKj7h+VWp2xmbE0CGtQavWJ2Dv1q2JPSu2X6y4uLowfP56srKzSqhKAy5cvl2p9f9a2bVuOHTtm+Zs3b95tW9e94nbtB8WZOXMmQ4cOZebMmaVWZ/ny5fH29rbZL4hEbpXyKmIflFUR+6CsitwbtiRtoXm/5uzfvJ+zx86WSp3uXu44OTuVSl0idwv1q2IvSm1wPSwsDG9vb+Li4oosM3LkSAIDA/NNmzRpEr6+vpbXffr04dlnn2XMmDHUqFEDf39/AKZOnUq9evVwcXHBy8uLrl27WpbJzc0lLi6OOnXqUKFCBUwmE4sWLSq2zc7Oznh7e1v+PD09rXvTUkBJ9gOAxYsX07BhQ5ydnfH19SU+Pt4yr2XLlhw6dIioqCjLVQU38tVXX/HHH38QGxvLuXPn2LRpU7753377La1atcLNzQ13d3eaNGlCWloaAIcOHaJDhw54enri6upKw4YNSU5OBgq/VGbGjBn4+Phw33330blzZxISEqhUqZJlft4+PmfOHHx9ffHw8KBHjx6cP3/eUqYk+2tycjJGo5EKFSrQqlUrDh48eMNtIHIzlFflVeyDsqqsin1QVpVVuftdunCJHct2EPJyCA3CG7B13lbLvOwz2cx5ZQ5v13ub6BrRvNP0HbbM3QLA1ctXWTR0ESMCRjCk+hBGPTyK1f9ebVn2r7diObDlABNCJzCk+hDin4znu5XfMajyII7sOgLAvq/3MajyIH746gfin4wn+oFoJrWZxIl9J/K1d1fyLt5t+S5Dqg9hdOPRrBq/ipyrOZb5v+7/lcntJzOk+hDiHotj77q9t2W7idwM9avqV+1FqQ2uOzo6MnbsWKZMmcKRI0duqa41a9awd+9eVq9ezYoVK0hLS2PgwIHExsayd+9eVq1aRWhoqKV8XFwcn3zyCdOmTWP37t1ERUXRs2dPvvrqqxuuZ/369dx///34+/vzj3/8g1OnTt1Su6Vk+0F6ejrdunWjR48e7Nq1i5EjRzJ8+HBmzZoFwJIlS6hZsyaxsbGWqwpuJDExkYiICMqVK0dERASJiYn55r/wwgvUrFmTbdu2kZ6ezptvvkm5cuUA6N+/P5cuXWLDhg3s2rWL8ePHU7FixULXk5qaSmRkJK+99ho7d+4kPDycMWPGFCi3f/9+li1bxooVK1ixYgVfffVVvkuZittff/75Z5577jk6dOjAzp076du3L2+++eYNt4HIzVBelVexD8qqsir2QVlVVuXut2PZDu6vdz9e9bxo2q0pW+ZuwWw2A5A8Npnje4/z6sJXefObN/nbu3/DtYorABumb+D7lO/pPbM3b219i14f9aJyrcqFruPiuYvMeH4GNRrUYMi6IbQb1o7/jfpfoWVXvrOSTqM7MXjNYBycHJg/YL5l3v7N+5n7j7mEvhrKm5vfpFtCN7bO28rq+GuD+rm5ucx8cSZO5Z2IWh1Ft4RuRa5HpCyoX1W/ai9K9bqjzp07ExgYSExMTIEd0Bqurq785z//oXz58sC1MLi6uvLMM8/g5uZG7dq1ady4MQCXLl1i7NixfPnllzRr1gwAPz8/vv76a6ZPn06LFi0KXUfbtm157rnnqFOnDvv37+ett96iXbt2bN68GUdHx5tuuxS/HyQkJNC6dWuGDx8OgNFoJCMjg4kTJ9KnTx8qV66Mo6Mjbm5ueHt733Bd586dY9GiRWzevBmAnj170rx5c9577z3LQezw4cNER0dTv359AOrVq2dZ/vDhw3Tp0oVGjRoB1/adokyZMoV27doxZMgQS7s3bdrEihUr8pXLzc1l1qxZuLm5AdCrVy/WrFnDmDFjSrS/fvjhh9StW9fybau/v7/lwCxS2pRX5VXsg7KqrIp9UFaVVbm7bUnaQtO/NQWgfuv6/HHuD35M/ZF6T9Qj60gWDzR6gFqNawFQpVYVy3JZR7OoVrcafo/5YTAYqOxT+MA6QPridAwGA90ndaecSzm863tz9thZFgxaUKBs+3+158GQBwEIGxTGR90/4srFK5RzKcfnEz6n9aDWBEcEA1DVtypPv/U0y0cup+0bbflh/Q+c2HeCyEWReFT3sNQ3vdv00tlYIqVA/ar6VXtQar9czzN+/Hhmz55NZmbmTdfRqFEjy8A6QHh4OLVr18bPz49evXoxd+5csrOzAfjxxx/Jzs4mPDycihUrWv4++eQT9u/fX+Q6evToQceOHWnUqBHPPvssK1asYNu2baxfv/6m2y3X3Wg/yMzMJCQkJN+0kJAQ9u3bR05OToHyNzJv3jzq1q2LyWQCIDAwkNq1a7NgwfUTj9dff52+ffsSFhbGuHHj8u0XAwcO5J133iEkJISYmBi++67op6Lv3buX4ODgfNP++hquPSwj78AHUL16dU6ePAmUbH/NzMzk0UcfzVdn3oFS5HZQXpVXsQ/KqrIq9kFZVVbl7nRi3wkObT9EUJcgABydHGncuTFbkq7d+iXkpRB2LN3BhNAJLI9ZzoEtByzLBkcEc3TXUcYGj2Xxm4vZs3ZPkes5ue8kNRrWoJxLOcu02k1qF1q2RsMaln+7e7kDcOG3CwAc/f4oX0z8gqE+Qy1/CwYt4Nzxc1zOvsyJH07g+YCnZWAdwDfY18qtInL7qV9Vv2rrSn1wPTQ0lDZt2jBs2LCCK3NwsFwylefKlSsFyrm6uuZ77ebmxvbt25k3bx7Vq1dnxIgRmEwmzpw5w4UL1zqOlStXsnPnTstfRkZGie67nsfPz4+qVavy448/lngZKdqN9oPSlJiYyO7du3FycrL8ZWRk5HvwxMiRI9m9ezft27dn7dq1NGjQgKVLlwLQt29ffvrpJ3r16sWuXbto2rQpU6ZMuaU25V0SlMdgMJCbmwtQavurSGlSXq9TXsWWKavXKatiy5TV65RVuZtsSdpC7tVcYhrE8Hq113m92uukzkzl2/99yx/n/qBBeANivo2h5T9acvb4WaZ2nsp/h/8XAB+TDyN2jKDdsHZc+eMKs16exce9P77lNjmU+9OQzv/dSjovc5d/v0zbN9sS/VW05W/o10N5O+1tnFz08FSxH+pXr1O/aptuyxF13LhxBAYGWh5GmqdatWocP34cs9lseYjAzp07S1Snk5MTYWFhhIWFERMTQ6VKlVi7di3h4eE4Oztz+PDhIm8BUxJHjhzh1KlTVK9e/abrkPyK2g8CAgJITU3NNy01NRWj0Wi5JU/58uWL/ZZx165dpKWlsX79eipXvn5Z3enTp2nZsiV79uyxXKpjNBoxGo1ERUURERHBxx9/TOfOnQHw8fEhMjKSyMhIhg0bxowZMxgwYECB9fn7+7Nt27Z80/76ujgNGjQodn8NCAhg+fLl+aZ98803Vq1HxFrKa0HKq9giZbUgZVVskbJakLIq9iznag7bFmyj0+hO1G9VP9+8xF6JbF+8nZCXQqhYtSLBEcEERwST2iyV5SOW02l0JwBc3F0Iei6IoOeCMHU0Mf1v0/k963dcPfP/uPD+eveT9lkaVy9dxcn52pDN4e2HrW5zzYdrcnLfSar5VSt0vpfRi6yjWZw9fhYP72u/Xj+47aDV6xG5E9SvFqR+1XbclsH1Ro0a8cILLzB58uR801u2bMmvv/7KhAkT6Nq1K6tWrSIlJQV3d/cb1rdixQp++uknQkND8fT0JDk5mdzcXPz9/XFzc2PIkCFERUWRm5vLE088wdmzZ0lNTcXd3Z3evXsXqO/ChQuMGjWKLl264O3tzf79+xk6dCgPPvggbdq0KdVtcS8raj8YPHgwjzzyCKNHj6Z79+5s3ryZ999/n6lTp1rK+Pr6smHDBnr06IGzszNVq1YtUH9iYiLBwcH5Hm6b55FHHiExMZHY2Fiio6Pp2rUrderU4ciRI2zbto0uXboAMGjQINq1a4fRaCQrK4t169YREBBQ6PsZMGAAoaGhJCQk0KFDB9auXUtKSkqxT5v+s5Lsr5GRkcTHxxMdHU3fvn1JT0+3PIxD5HZRXgtSXsUWKasFKatii5TVgpRVsWe7P99N9plsHuv1GBXcK+Sb93CHh/km6RvOHjuLT6AP3vW9uXrpKhmfZ+Bl9AJg3QfrcPd2p2ajmhgcDHz7329x93KngkeFAutq0qUJK99ZyYKoBbR+rTVZR7JY+/5aAKsy91T0U8yImIFnTU9MHU0YHAz88v0vHNtzjPZvt8fY0sj9de/n039+SsfYjlw8f5HkMcm3sJVEbh/1qwWpX7UdpX5bmDyxsbGWSxXyBAQEMHXqVD744ANMJhNbt2613Lz/RipVqsSSJUt48sknCQgIYNq0acybN4+GDRsCMHr0aIYPH05cXBwBAQG0bduWlStXUqdOnULrc3R05LvvvqNjx44YjUb+/ve/06RJEzZu3Iizs/Otv3mxKGw/CAoKYuHChcyfP5+HHnqIESNGEBsbS58+ffItd/DgQerWrUu1agW/ab98+TJJSUmWg9hfdenShU8++QQHBwdOnTrFiy++iNFopFu3brRr145Ro0YBkJOTQ//+/S37jdFozHcQ/rOQkBCmTZtGQkICJpOJVatWERUVhYuLi1XbpLj9tVatWixevJhly5ZhMpmYNm0aY8eOtWodIjdDeS1IeRVbpKwWpKyKLVJWC1JWxV5tSdqCfwv/AgPrAKYOJn7e8TMOTg6siF3BhOYTmPLMFAyOBnonXvuxn0tFF9ZOXkt863gSWidw+ufTvLLgFRwcCg7JuLi70O/TfhzddZSJLSaSPCaZNkOv/Qgw75fsJRHQOoB+8/qxd91eEsISmPTUJNZ/uJ7KNa/9KtfBwYGX57zMlYtXSAhLYP5r83n67advZvOI3BHqVwtSv2obDOa/3gS9ENu3b6dJkyakp6cTFBR0J9plc+bOnUvPnj3v6W0gBfXr1489e/awcePGsm6K/B9lVYqivNoWZVWKoqzaFmVViqKs2pa8rA5eNxgfk09ZN0dKWdpnacz7f/OIOxhH+Qrly7o5covSPksj6dUk9a2Sj/pV21PS8XA9xULECu+++y7h4eG4urqSkpLC7Nmzi/wmUkTKlvIqYh+UVRH7oKyK3Dlb52+lqm9VPKp7cPT7o/xv5P8IfDZQA+sidxH1q3cPDa6LWGHr1q1MmDCB8+fP4+fnx+TJk+nbt29ZN0tECqG8itgHZVXEPiirInfO+ZPnSYlL4fzJ87h7uRPYKZD2/2pf1s0SkVKkfvXuocF1ESssXLiwrJsgIiWkvIrYB2VVxD4oqyJ3TuuBrWk9sHVZN0NEbiP1q3eP2/ZAUxERERERERERERGRu5UG10VERERERERERERErKTBdRERERERERERERERK1l1z/XMzMzb1Q6bd+DAAeDe3gYi9kBZFbEPyqqIfVBWRexDXlZP/HCijFsiIsU5dfgUoL5VxNaVNKMGs9lsLq7Q4cOHCQgIIDs7+5YbZs8cHR3Jyckp62aISDGUVRH7oKyK2AdlVcQ+GBwMmHOL/XgvIjbAwdGB3Jzcsm6GiBTjvvvuIzMzk1q1ahVZpkSD63BtgP23334rtcbZo0uXLuHs7FzWzRCRYiirIvZBWRWxD8qqiH1QVkXsh/IqYh+qVq16w4F1sGJwXURERERERERERERErtEDTUVERERERERERERErKTBdRERERERERERERERK2lwXURERERERERERETEShpcFxERERERERERERGxkgbXRURERERERERERESspMF1EREREREREREREREraXBdRERERERERERERMRKGlwXEREREREREREREbGSBtdFRERERERERERERKykwXUREREREREREREREStpcF1ERERERERERERExEoaXBcRERERERERERERsZIG10VERERERERERERErKTBdRERERERERERERERK2lwXURERERERERERETEShpcFxERERERERERERGxkgbXRURERERERERERESspMF1EREREREREREREREraXBdRERERERERERERMRKGlwXEREREREREREREbGSBtdFRERERERERERERKykwXUREREREREREREREStpcF1ERERERERERERExEoaXBcRERERERERERERsZIG10VERERERERERERErKTBdRERERERERERERERK2lwXURERERERERERETEShpcFxERERERERERERGxkgbXRURERERERERERESs9P8BaZoCOUcjZBsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query57: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query58: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query59: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) == (shifts[0,2,0]), (shifts[0,0,0]) >= (shifts[0,2,0]), (shifts[0,0,1]) >= (shifts[0,2,0]), (shifts[0,1,0]) < (shifts[0,2,0]), (shifts[0,1,0]) == (shifts[0,2,0]), (shifts[0,1,0]) <= (shifts[0,2,0])]\n",
      "Query60: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query61: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) > (shifts[0,2,0])]\n",
      "Query62: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) < (shifts[0,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,1,1]) != (shifts[0,2,0])]\n",
      "Size of CL:  9\n",
      "Size of B:  343\n",
      "Number of Queries:  63\n",
      "Query63: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query64: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query65: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query66: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query67: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) <= (shifts[0,2,0])]\n",
      "Query68: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) > (shifts[0,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[0,1,0]) != (shifts[0,2,0])]\n",
      "Size of CL:  10\n",
      "Size of B:  340\n",
      "Number of Queries:  69\n",
      "Query69: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query70: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query71: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) >= (shifts[0,2,0]), (shifts[0,1,1]) >= (shifts[0,2,0]), (shifts[0,1,1]) == (shifts[0,2,0])]\n",
      "Query72: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query73: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query74: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) < (shifts[0,2,1]), (shifts[0,0,0]) <= (shifts[0,2,1]), (shifts[0,0,0]) == (shifts[0,2,1])]\n",
      "Query75: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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ZIq5cuaJZx9XVVSxZskTrcT4+PiIuLk4IIUR5ebkAII4fP665397eXqxevVpz+9atW2Ls2LGibdu2AoDWfffbtGmTUKlUwsLCQnh5eYldu3bp9dxJiIyMDLaqB7Z6XHP/g7Zav637fwYPHqzX83/csVX9sdfjmvsftFdXV9cGe63fFzWOreqvtVvdt29fg8f5xIkTG33Mp59+KoYMGSIcHR2FhYWF6Nq1q5g0aZI4d+6cZp3BgweLt99+W+txo0aN0touALFt2zbN7d+2XC86Olq0b9++2fb27dsnfH19hYWFhejevXuTvzPTPWxVf2x1m+b2w7Ta0HNwdXVt9vkTe9UXW92muf2grQ4ePNjg50D36DsXrBBCiAeZlH/cHDt2DH379kVhYSH8/PxaeziPlc8++wwxMTH43//+BwsLi9YeDknc+vXrERERwVZbAVslQ7DV1sVeSV9stXWxVdIXW21dbJUMwV5bD1slQ+g7F8yvhSHJqqmpQWVlJZKSkvCXv/yFb3xEEsVWieSDvRLJA1slkge2SiQPbJVaEi9oSpKVkpKC3r17w9nZGbNnz27t4RBRI9gqkXywVyJ5YKtE8sBWieSBrVJL4uQ6SVZ8fDzu3LmDvXv38mJjRBLGVonkg70SyQNbJZIHtkokD2yVWhIn14mIiIiIiIiIiIiIDMTJdSIiIiIiIiIiIiIiA3FynYiIiIiIiIiIiIjIQGb6rlhRUYErV6605FgkraSkBACQlZWl+W8ikp68vDwAbJVI6tgqkTywVSJ5YKtE8sFeieShvLxcr/UUQgjR3EoVFRXw8PBATU3NQw9MzkxMTKBWq1t7GETUDLZKJA9slUge2CqRPLBVIvlgr0TyYGpqioMHD2LgwIGNrqPXX65fuXIFNTU1yMjIgIeHh9EGKCdZWVmYM2fOY/0aEMkBWyWSB7ZKJA9slUge2CqRfLBXInkoKSlBREQElEplk+vp/bUwAODh4QE/P7+HGphc1X9U53F+DYjkgK0SyQNbJZIHtkokD2yVSD7YK9GjhRc0JSIiIiIiIiIiIiIyECfXiYiIiIiIiIiIiIgMxMl1IiIiIiIiIiIiIiIDcXKdqBG5ublQKBS4evVqaw9FUmMhkiIpNSKlsRBJjZT6kNJYiKRGSn1IaSxEUiOlPqQ0FiKpkVIfUhrLo8Iok+uTJk2CQqFAUlKS1vLt27dDoVAYYxdGt3XrVjz33HNo3749FAoFioqKWntIsmfM48DNzQ1paWl6r5+YmAhTU1MsWrTIoP005emnn0ZlZSXs7e2Ntk0iqWCvRPLAVonkga0SyQNbJZIHtkpyYrS/XLe0tERycjKqqqqMtUkAwO3bt426vXq//PILnnnmGSQnJ7fI9h9XLXUcNGfVqlWYOXMmVq1aZbRtWlhYwNnZWbL/QET0sNgrkTywVSJ5YKtE8sBWieSBrZJcGG1yPTg4GM7OzkhMTGx0nfj4ePj6+motS0tLg5ubm+b2pEmTMHr0aCxYsACdO3eGu7s7AGD58uXo1asXLC0t4eTkhNDQUM1j1Go1EhMT0a1bN1hZWcHHxwebN29ucryRkZGYO3cugoODDX+y1Ch9jgMA2LJlC7y8vKBUKuHm5obFixdr7gsKCsL58+cRExMDhULR7JvP/v37cfPmTSQkJOD69es4dOiQ1v1ff/01hgwZAltbW9jZ2aFv374oKCgAAJw/fx4jR46Eg4MDrK2t4eXlhaysLAANf1Rm5cqVcHFxQZs2bTBmzBikpqaibdu2mvvrj/HPPvsMbm5usLe3R1hYGKqrqzXr6HO8ZmVlQaVSwcrKCkOGDMG5c+eafA2IHgR7Za8kD2yVrZI8sFW2SvLAVtkqyQNbZatyYbTJdVNTUyxcuBDLli3DhQsXHmpbe/fuRWlpKfbs2YPMzEwUFBRgypQpSEhIQGlpKXbv3o3AwEDN+omJiVi3bh1WrFiBkydPIiYmBhEREdi/f//DPi0ykD7HQWFhIcaNG4ewsDAUFxcjPj4ec+bMwZo1awDc/cqeLl26ICEhAZWVlaisrGxyn+np6QgPD4e5uTnCw8ORnp6udf+ECRPQpUsXHD16FIWFhZg1axbMzc0BAG+++SZqa2tx4MABFBcXIzk5GTY2Ng3uJy8vD9HR0Xj77bdRVFSEkJAQLFiwQGe9srIybN++HZmZmcjMzMT+/fu1PsrU3PH6/fff46WXXsLIkSNRVFSEqKgozJo1q8nXgOhBsFf2SvLAVtkqyQNbZaskD2yVrZI8sFW2KhtCD4WFhQKAKCwsbPD+iRMnilGjRgkhhHjqqafEa6+9JoQQYtu2beK3u4iLixM+Pj5aj12yZIlwdXXV2paTk5Oora3VLNuyZYuws7MT169f19n3rVu3RJs2bcShQ4e0lr/++usiPDy82edWXl4uAIjjx483uV5GRkaTrwHpfxy8/PLLIiQkROuxsbGxwtPTU3Pb1dVVLFmypNl9Xrt2TVhZWYmioiIhhBDHjx8XNjY2orq6WrOOra2tWLNmTYOP9/b2FvHx8Q3et2/fPgFAVFVVCSGEGD9+vBgxYoTWOhMmTBD29vaa23FxcaJNmzZax2psbKwYMGCAEEK/43X27Nlar4UQQrzzzjtaY6HGsVX9sFf22trYqn7YKlttbWxVP2yVrbY2tqoftspWpYC9No+tslUpaG4+vJ7R/nK9XnJyMtauXYuSkpIH3oa3tzcsLCw0t0NCQuDq6oru3bsjMjIS69evR01NDQDgu+++Q01NDUJCQmBjY6P5WbduHcrKyh76+dCDaeo4KCkpQUBAgNaygIAAnDlzBnV1dQbtZ8OGDejRowd8fHwAAL6+vnB1dcXGjRs160ybNg1RUVEIDg5GUlKS1nExZcoUzJ8/HwEBAYiLi8OJEyca3VdpaSn8/f21lt1/G7h7sQxbW1vN7U6dOuHSpUsA9DteS0pKMGDAAK1tDhw4UN+XhMhg7JW9kjywVbZK8sBW2SrJA1tlqyQPbJWtSp3RJ9cDAwMxbNgwzJ49W3dnJiYQQmgtu3Pnjs561tbWWrdtbW1x7NgxbNiwAZ06dcLcuXPh4+ODq1ev4saNGwCAXbt2oaioSPNz6tSpZr93nVpOU8eBMaWnp+PkyZMwMzPT/Jw6dUrrwhPx8fE4efIkRowYgZycHHh6emLbtm0AgKioKJw9exaRkZEoLi5Gv379sGzZsocaU/1HguopFAqo1WoA4PFKksRe72GvJGVs9R62SlLGVu9hqyRlbPUetkpSxlbvYavSZNYSG01KSoKvr6/mYqT1HB0dcfHiRQghNBcRKCoq0mubZmZmCA4ORnBwMOLi4tC2bVvk5OQgJCQESqUSFRUVGDx4sLGfCj2Exo4DDw8P5OXlaS3Ly8uDSqWCqakpgLtXUm7uXxmLi4tRUFCA3NxctGvXTrP8559/RlBQEE6fPo3evXsDAFQqFVQqFWJiYhAeHo7Vq1djzJgxAAAXFxdER0cjOjoas2fPxsqVKzF58mSd/bm7u+Po0aNay+6/3RxPT89mj1cPDw/s2LFDa9lXX31l0H6IDMVedbFXkiK2qoutkhSxVV1slaSIrepiqyRFbFUXW5WOFplc9/b2xoQJE7B06VKt5UFBQbh8+TJSUlIQGhqK3bt3Izs7G3Z2dk1uLzMzE2fPnkVgYCAcHByQlZUFtVoNd3d32NraYsaMGYiJiYFarcYzzzyDa9euIS8vD3Z2dpg4cWKD2/z5559RUVGB//3vfwDufiQDAJydneHs7GyEV4EaOw6mT5+O/v37Y968eRg/fjzy8/Px4YcfYvny5Zp13NzccODAAYSFhUGpVKJDhw46209PT4e/v7/WxW3r9e/fH+np6UhISEBsbCxCQ0PRrVs3XLhwAUePHsXYsWMBAFOnTsXw4cOhUqlQVVWFffv2wcPDo8HnM3nyZAQGBiI1NRUjR45ETk4OsrOzm73a9G/pc7xGR0dj8eLFiI2NRVRUFAoLCzUX4yBqKexVF3slKWKrutgqSRFb1cVWSYrYqi62SlLEVnWxVQkxxhe4//ZCA/XKy8uFhYWFuH8XH3/8sXBxcRHW1tbilVdeEQsWLNC5oOn92zp48KAYPHiwcHBwEFZWVqJPnz5i48aNmvvVarVIS0sT7u7uwtzcXDg6Oophw4aJ/fv3N/qcVq9eLQDo/MTFxTW4Pi840TxDjoPNmzcLT09PYW5uLrp27SoWLVqkdX9+fr7o06ePUCqVOo8VQoja2lrRvn17kZKS0uBYkpOTRceOHcWtW7dEWFiYcHFxERYWFqJz587irbfeEjdv3hRCCPHWW2+JHj16CKVSKRwdHUVkZKS4cuWKEEL3ghNCCPHpp5+KJ554QlhZWYnRo0eL+fPnC2dnZ839+ly0V5/jdefOnaJnz55CqVSKQYMGiVWrVvGCE3piq/phr+y1tbFV/bBVttra2Kp+2CpbbW1sVT9sla1KAXttHltlq1Kg7wVNFULc9yXoDTh27Bj69u2LwsJC+Pn5PdxsvkytX78eERERj/VrQLreeOMNnD59GgcPHmztodD/x1apMexVWtgqNYatSgtbpcawVWlhq9QYtio97JUawlalR9/58Bb5WhiiR9X777+PkJAQWFtbIzs7G2vXrtX6uBERSQd7JZIHtkokD2yVSB7YKpE8sNVHByfXiQxw5MgRpKSkoLq6Gt27d8fSpUsRFRXV2sMiogawVyJ5YKtE8sBWieSBrRLJA1t9dHByncgAmzZtau0hEJGe2CuRPLBVInlgq0TywFaJ5IGtPjpMWnsARERERERERERERERyw8l1IiIiIiIiIiIiIiIDcXKdiIiIiIiIiIiIiMhAnFwnIiIiIiIiIiIiIjKQQRc0zcrKQklJSUuNRdLy8vIAPN6vAZEcsFUieWCrRPLAVonkga0SyQd7JZKH8vJyvdZTCCFEcyvl5+dj0KBBqKure+iByZmJiQnUanVrD4OImsFWieSBrRLJA1slkge2SiQf7JVIHkxNTXHw4EEMHDiw0XX0+st1pVKJuro6ZGRkwMPDw2gDlJOsrCzMmTPnsX4NiOSArRLJA1slkge2SiQPbJVIPtgrkTyUlJQgIiICSqWyyfUM+loYDw8P+Pn5PdTA5Kr+ozqP82tAJAdslUge2CqRPLBVInlgq0TywV6JHi28oCkRERERERERERERkYE4uU5EREREREREREREZCBOrhMRERERERERERERGYiT60SNyM3NhUKhwNWrV1t7KJIaC5EUSakRKY2FSGqk1IeUxkIkNVLqQ0pjIZIaKfUhpbEQSY2U+pDSWB4VRplcnzRpEhQKBZKSkrSWb9++HQqFwhi7MKo7d+7gnXfegbe3N6ytrdG5c2e88sor+N///tfaQ5M1Yx4Hbm5uSEtL03v9xMREmJqaYtGiRQbtpylPP/00KisrYW9vb7RtEkkFeyWSB7ZKJA9slUge2CqRPLBVkhOj/eW6paUlkpOTUVVVZaxNAgBu375t1O0BQE1NDY4dO4Y5c+bg2LFj2Lp1K0pLS/Hiiy8afV+Pm5Y6DpqzatUqzJw5E6tWrTLaNi0sLODs7CzJfyAiMgb2SiQPbJVIHtgqkTywVSJ5YKskF0abXA8ODoazszMSExMbXSc+Ph6+vr5ay9LS0uDm5qa5PWnSJIwePRoLFixA586d4e7uDgBYvnw5evXqBUtLSzg5OSE0NFTzGLVajcTERHTr1g1WVlbw8fHB5s2bGx2Hvb099uzZg3HjxsHd3R1PPfUUPvzwQxQWFqKiouLBXgACoN9xAABbtmyBl5cXlEol3NzcsHjxYs19QUFBOH/+PGJiYqBQKJp989m/fz9u3ryJhIQEXL9+HYcOHdK6/+uvv8aQIUNga2sLOzs79O3bFwUFBQCA8+fPY+TIkXBwcIC1tTW8vLyQlZUFoOGPyqxcuRIuLi5o06YNxowZg9TUVLRt21Zzf/0x/tlnn8HNzQ329vYICwtDdXW1Zh19jtesrCyoVCpYWVlhyJAhOHfuXJOvAdGDYK/sleSBrbJVkge2ylZJHtgqWyV5YKtsVTaEHgoLCwUAUVhY2OD9EydOFKNGjRJbt24VlpaW4vvvvxdCCLFt2zbx213ExcUJHx8frccuWbJEuLq6am3LxsZGREZGim+++UZ888034ujRo8LU1FR8/vnn4ty5c+LYsWPigw8+0Dxm/vz5onfv3mL37t2irKxMrF69WiiVSpGbm6vP0xNCCLFnzx6hUCjEtWvXGrw/IyOjydeA9D8OCgoKhImJiUhISBClpaVi9erVwsrKSqxevVoIIcRPP/0kunTpIhISEkRlZaWorKxscr+RkZFixowZQgghpk+fLl577TWt+728vERERIQoKSkR3377rdi0aZMoKioSQggxYsQIERISIk6cOCHKysrEzp07xf79+4UQQuzbt08AEFVVVUIIIb788kthYmIiFi1aJEpLS8VHH30k2rVrJ+zt7TX7iouLEzY2NuKll14SxcXF4sCBA8LZ2Vm8++67mnWaO14rKiqEUqkU06ZNE6dPnxYZGRnCyclJayzUOLaqH/bKXlsbW9UPW2WrrY2t6oetstXWxlb1w1bZqhSw1+axVbYqBc3Nh9cz6uS6EEI89dRTmoPvQSfXnZycRG1trWbZli1bhJ2dnbh+/brOvm/duiXatGkjDh06pLX89ddfF+Hh4fo8PXHz5k3h5+cnXn755UbX4Ztf8/Q9Dl5++WUREhKi9djY2Fjh6empue3q6iqWLFnS7D6vXbsmrKysNG9mx48fFzY2NqK6ulqzjq2trVizZk2Dj/f29hbx8fEN3nf/m9/48ePFiBEjtNaZMGGCzptfmzZttI7V2NhYMWDAACGEfsfr7NmztV4LIYR45513+OanJ7aqH/bKXlsbW9UPW2WrrY2t6oetstXWxlb1w1bZqhSw1+axVbYqBfpOrhvta2HqJScnY+3atSgpKXngbXh7e8PCwkJzOyQkBK6urujevTsiIyOxfv161NTUAAC+++471NTUICQkBDY2NpqfdevWoaysrNl93blzB+PGjYMQAh9//PEDj5m0NXUclJSUICAgQGtZQEAAzpw5g7q6OoP2s2HDBvTo0QM+Pj4AAF9fX7i6umLjxo2adaZNm4aoqCgEBwcjKSlJ67iYMmUK5s+fj4CAAMTFxeHEiRON7qu0tBT+/v5ay+6/Ddy9WIatra3mdqdOnXDp0iUA+h2vJSUlGDBggNY2Bw4cqO9LQmQw9speSR7YKlsleWCrbJXkga2yVZIHtspWpc7ok+uBgYEYNmwYZs+erbszExMIIbSW3blzR2c9a2trrdu2trY4duwYNmzYgE6dOmHu3Lnw8fHB1atXcePGDQDArl27UFRUpPk5depUk9+7Xr/vcePG4fz589izZw/s7OwMfbrUiKaOA2NKT0/HyZMnYWZmpvk5deqU1oUn4uPjcfLkSYwYMQI5OTnw9PTEtm3bAABRUVE4e/YsIiMjUVxcjH79+mHZsmUPNSZzc3Ot2wqFAmq1GgAe6nglains9R72SlLGVu9hqyRlbPUetkpSxlbvYaskZWz1HrYqTWYtsdGkpCT4+vpqLkZaz9HRERcvXoQQQnMRgaKiIr22aWZmhuDgYAQHByMuLg5t27ZFTk4OQkJCoFQqUVFRgcGDB+s9xvqJ9TNnzmDfvn1o37693o8l/TR2HHh4eCAvL09rWV5eHlQqFUxNTQHcvZJyc//KWFxcjIKCAuTm5qJdu3aa5T///DOCgoJw+vRp9O7dGwCgUqmgUqkQExOD8PBwrF69GmPGjAEAuLi4IDo6GtHR0Zg9ezZWrlyJyZMn6+zP3d0dR48e1Vp2/+3meHp6Nnu8enh4YMeOHVrLvvrqK4P2Q2Qo9qqLvZIUsVVdbJWkiK3qYqskRWxVF1slKWKrutiqdLTI5Lq3tzcmTJiApUuXai0PCgrC5cuXkZKSgtDQUOzevRvZ2dnN/sV4ZmYmzp49i8DAQDg4OCArKwtqtRru7u6wtbXFjBkzEBMTA7VajWeeeQbXrl1DXl4e7OzsMHHiRJ3t3blzB6GhoTh27BgyMzNRV1eHixcvAgDatWun9ZU09OAaOw6mT5+O/v37Y968eRg/fjzy8/Px4YcfYvny5Zp13NzccODAAYSFhUGpVKJDhw46209PT4e/vz8CAwN17uvfvz/S09ORkJCA2NhYhIaGolu3brhw4QKOHj2KsWPHAgCmTp2K4cOHQ6VSoaqqCvv27YOHh0eDz2fy5MkIDAxEamoqRo4ciZycHGRnZzd7tenf0ud4jY6OxuLFixEbG4uoqCgUFhZizZo1eu+D6EGwV13slaSIrepiqyRFbFUXWyUpYqu62CpJEVvVxVYlxBhf4P7bCw3UKy8vFxYWFuL+XXz88cfCxcVFWFtbi1deeUUsWLBA54Km92/r4MGDYvDgwcLBwUFYWVmJPn36iI0bN2ruV6vVIi0tTbi7uwtzc3Ph6Ogohg0bprkq7/3Ky8sFgAZ/9u3b1+BjeMGJ5hlyHGzevFl4enoKc3Nz0bVrV7Fo0SKt+/Pz80WfPn2EUqnUeawQQtTW1or27duLlJSUBseSnJwsOnbsKG7duiXCwsKEi4uLsLCwEJ07dxZvvfWWuHnzphBCiLfeekv06NFDKJVK4ejoKCIjI8WVK1eEELoXnBBCiE8//VQ88cQTwsrKSowePVrMnz9fODs7a+7X56K9+hyvO3fuFD179hRKpVIMGjRIrFq1ihec0BNb1Q97Za+tja3qh62y1dbGVvXDVtlqa2Or+mGrbFUK2Gvz2CpblQJ9L2iqEOK+L0FvwLFjx9C3b18UFhbCz8/voSbz5Wr9+vWIiIh4rF8D0vXGG2/g9OnTOHjwYGsPhf4/tkqNYa/SwlapMWxVWtgqNYatSgtbpcawVelhr9QQtio9+s6Ht8jXwhA9qt5//32EhITA2toa2dnZWLt2rdbHjYhIOtgrkTywVSJ5YKtE8sBWieSBrT46OLlOZIAjR44gJSUF1dXV6N69O5YuXYqoqKjWHhYRNYC9EskDWyWSB7ZKJA9slUge2Oqjg5PrRAbYtGlTaw+BiPTEXonkga0SyQNbJZIHtkokD2z10WHS2gMgIiIiIiIiIiIiIpIbTq4TERERERERERERERmIk+tERERERERERERERAYy6DvXs7KyUFJS0lJjkbS8vDwAj/drQCQHbJVIHtgqkTywVSJ5YKtE8sFeieShvLxcr/UUQgjR3Er5+fkYNGgQ6urqHnpgcmZiYgK1Wt3awyCiZrBVInlgq0TywFaJ5IGtEskHeyWSB1NTUxw8eBADBw5sdB29/nJdqVSirq4OGRkZ8PDwMNoA5SQrKwtz5sx5rF8DIjlgq0TywFaJ5IGtEskDWyWSD/ZKJA8lJSWIiIiAUqlscj2DvhbGw8MDfn5+DzUwuar/qM7j/BoQyQFbJZIHtkokD2yVSB7YKpF8sFeiRwsvaEpEREREREREREREZCBOrhMRERERERERERERGYiT60REREREREREREREBuLkOlEjcnNzoVAocPXq1dYeiqTGQiRFUmpESmMhkhop9SGlsRBJjZT6kNJYiKRGSn1IaSxEUiOlPqQ0lkeFUSbXJ02aBIVCgaSkJK3l27dvh0KhMMYujC4+Ph69e/eGtbU1HBwcEBwcjMOHD7f2sGTNmMeBm5sb0tLS9F4/MTERpqamWLRokUH7acrTTz+NyspK2NvbG22bRFLBXonkga0SyQNbJZIHtkokD2yV5MRof7luaWmJ5ORkVFVVGWuTAIDbt28bdXv1VCoVPvzwQxQXF+PLL7+Em5sbnnvuOVy+fLlF9ve4aKnjoDmrVq3CzJkzsWrVKqNt08LCAs7OzpL9ByKih8VeieSBrRLJA1slkge2SiQPbJXkwmiT68HBwXB2dkZiYmKj68THx8PX11drWVpaGtzc3DS3J02ahNGjR2PBggXo3Lkz3N3dAQDLly9Hr169YGlpCScnJ4SGhmoeo1arkZiYiG7dusHKygo+Pj7YvHlzk+N9+eWXERwcjO7du8PLywupqam4fv06Tpw4YfiTJw19jgMA2LJlC7y8vKBUKuHm5obFixdr7gsKCsL58+cRExMDhULR7JvP/v37cfPmTSQkJOD69es4dOiQ1v1ff/01hgwZAltbW9jZ2aFv374oKCgAAJw/fx4jR46Eg4MDrK2t4eXlhaysLAANf1Rm5cqVcHFxQZs2bTBmzBikpqaibdu2mvvrj/HPPvsMbm5usLe3R1hYGKqrqzXr6HO8ZmVlQaVSwcrKCkOGDMG5c+eafA2IHgR7Za8kD2yVrZI8sFW2SvLAVtkqyQNbZauyIfRQWFgoAIjCwsIG7584caIYNWqU2Lp1q7C0tBTff/+9EEKIbdu2id/uIi4uTvj4+Gg9dsmSJcLV1VVrWzY2NiIyMlJ888034ptvvhFHjx4Vpqam4vPPPxfnzp0Tx44dEx988IHmMfPnzxe9e/cWu3fvFmVlZWL16tVCqVSK3NxcfZ6eqK2tFYsWLRL29vbi8uXLDa6TkZHR5GtA+h8HBQUFwsTERCQkJIjS0lKxevVqYWVlJVavXi2EEOKnn34SXbp0EQkJCaKyslJUVlY2ud/IyEgxY8YMIYQQ06dPF6+99prW/V5eXiIiIkKUlJSIb7/9VmzatEkUFRUJIYQYMWKECAkJESdOnBBlZWVi586dYv/+/UIIIfbt2ycAiKqqKiGEEF9++aUwMTERixYtEqWlpeKjjz4S7dq1E/b29pp9xcXFCRsbG/HSSy+J4uJiceDAAeHs7CzeffddzTrNHa8VFRVCqVSKadOmidOnT4uMjAzh5OSkNRZqHFvVD3tlr62NreqHrbLV1sZW9cNW2WprY6v6YatsVQrYa/PYKluVgubmw+sZdXJdCCGeeuopzcH3oJPrTk5Oora2VrNsy5Ytws7OTly/fl1n37du3RJt2rQRhw4d0lr++uuvi/Dw8Caf186dO4W1tbVQKBSic+fO4siRI42uyze/5ul7HLz88ssiJCRE67GxsbHC09NTc9vV1VUsWbKk2X1eu3ZNWFlZad7Mjh8/LmxsbER1dbVmHVtbW7FmzZoGH+/t7S3i4+MbvO/+N7/x48eLESNGaK0zYcIEnTe/Nm3aaB2rsbGxYsCAAUII/Y7X2bNna70WQgjxzjvv8M1PT2xVP+yVvbY2tqoftspWWxtb1Q9bZautja3qh62yVSlgr81jq2xVCvSdXDfa18LUS05Oxtq1a1FSUvLA2/D29oaFhYXmdkhICFxdXdG9e3dERkZi/fr1qKmpAQB89913qKmpQUhICGxsbDQ/69atQ1lZWZP7GTJkCIqKinDo0CE8//zzGDduHC5duvTA46Z7mjoOSkpKEBAQoLUsICAAZ86cQV1dnUH72bBhA3r06AEfHx8AgK+vL1xdXbFx40bNOtOmTUNUVBSCg4ORlJSkdVxMmTIF8+fPR0BAAOLi4pr8WqDS0lL4+/trLbv/NnD3Yhm2traa2506ddIcV/ocryUlJRgwYIDWNgcOHKjvS0JkMPbKXkke2CpbJXlgq2yV5IGtslWSB7bKVqXO6JPrgYGBGDZsGGbPnq27MxMTCCG0lt25c0dnPWtra63btra2OHbsGDZs2IBOnTph7ty58PHxwdWrV3Hjxg0AwK5du1BUVKT5OXXqVLPfu25tbY2ePXviqaeeQnp6OszMzJCenm7oU6YGNHUcGFN6ejpOnjwJMzMzzc+pU6e0LjwRHx+PkydPYsSIEcjJyYGnpye2bdsGAIiKisLZs2cRGRmJ4uJi9OvXD8uWLXuoMZmbm2vdVigUUKvVAPBQxytRS2Gv97BXkjK2eg9bJSljq/ewVZIytnoPWyUpY6v3sFVpMmuJjSYlJcHX11dzMdJ6jo6OuHjxIoQQmosIFBUV6bVNMzMzBAcHIzg4GHFxcWjbti1ycnIQEhICpVKJiooKDB48+KHGrVarUVtb+1DboHsaOw48PDyQl5entSwvLw8qlQqmpqYA7l5Jubl/ZSwuLkZBQQFyc3PRrl07zfKff/4ZQUFBOH36NHr37g0AUKlUUKlUiImJQXh4OFavXo0xY8YAAFxcXBAdHY3o6GjMnj0bK1euxOTJk3X25+7ujqNHj2otu/92czw9PZs9Xj08PLBjxw6tZV999ZVB+yEyFHvVxV5JitiqLrZKUsRWdbFVkiK2qoutkhSxVV1sVTpaZHLd29sbEyZMwNKlS7WWBwUF4fLly0hJSUFoaCh2796N7Oxs2NnZNbm9zMxMnD17FoGBgXBwcEBWVhbUajXc3d1ha2uLGTNmICYmBmq1Gs888wyuXbuGvLw82NnZYeLEiTrb++WXX7BgwQK8+OKL6NSpE65cuYKPPvoIP/zwA/70pz8Z9bV4nDV2HEyfPh39+/fHvHnzMH78eOTn5+PDDz/E8uXLNeu4ubnhwIEDCAsLg1KpRIcOHXS2n56eDn9/fwQGBurc179/f6SnpyMhIQGxsbEIDQ1Ft27dcOHCBRw9ehRjx44FAEydOhXDhw+HSqVCVVUV9u3bBw8Pjwafz+TJkxEYGIjU1FSMHDkSOTk5yM7ObvZq07+lz/EaHR2NxYsXIzY2FlFRUSgsLMSaNWv03gfRg2CvutgrSRFb1cVWSYrYqi62SlLEVnWxVZIitqqLrUqIMb7A/bcXGqhXXl4uLCwsxP27+Pjjj4WLi4uwtrYWr7zyiliwYIHOBU3v39bBgwfF4MGDhYODg7CyshJ9+vQRGzdu1NyvVqtFWlqacHd3F+bm5sLR0VEMGzZMc1Xe+928eVOMGTNGdO7cWVhYWIhOnTqJF198kRc0fUiGHAebN28Wnp6ewtzcXHTt2lUsWrRI6/78/HzRp08foVQqdR4rhBC1tbWiffv2IiUlpcGxJCcni44dO4pbt26JsLAw4eLiIiwsLETnzp3FW2+9JW7evCmEEOKtt94SPXr0EEqlUjg6OorIyEhx5coVIYTuBSeEEOLTTz8VTzzxhLCyshKjR48W8+fPF87Ozpr79blorz7H686dO0XPnj2FUqkUgwYNEqtWreIFJ/TEVvXDXtlra2Or+mGrbLW1sVX9sFW22trYqn7YKluVAvbaPLbKVqVA3wuaKoS470vQG3Ds2DH07dsXhYWF8PPzM8KUvvysX78eERERj/VrQLreeOMNnD59GgcPHmztodD/x1apMexVWtgqNYatSgtbpcawVWlhq9QYtio97JUawlalR9/58Bb5WhiiR9X777+PkJAQWFtbIzs7G2vXrtX6uBERSQd7JZIHtkokD2yVSB7YKpE8sNVHByfXiQxw5MgRpKSkoLq6Gt27d8fSpUsRFRXV2sMiogawVyJ5YKtE8sBWieSBrRLJA1t9dHByncgAmzZtau0hEJGe2CuRPLBVInlgq0TywFaJ5IGtPjpMWnsARERERERERERERERyw8l1IiIiIiIiIiIiIiIDcXKdiIiIiIiIiIiIiMhAnFwnIiIiIiIiIiIiIjKQQRc0zcrKQklJSUuNRdLy8vIAPN6vAZEcsFUieWCrRPLAVonkga0SyQd7JZKH8vJyvdZTCCFEcyvl5+dj0KBBqKure+iByZmJiQnUanVrD4OImsFWieSBrRLJA1slkge2SiQf7JVIHkxNTXHw4EEMHDiw0XX0+st1pVKJuro6ZGRkwMPDw2gDlJOsrCzMmTPnsX4NiOSArRLJA1slkge2SiQPbJVIPtgrkTyUlJQgIiICSqWyyfUM+loYDw8P+Pn5PdTA5Kr+ozqP82tAJAdslUge2CqRPLBVInlgq0TywV6JHi28oCkRERERERERERERkYE4uU5EREREREREREREZCBOrhM1Ijc3FwqFAlevXm3toUhqLERSJKVGpDQWIqmRUh9SGguR1EipDymNhUhqpNSHlMZCJDVS6kNKY3lUGGVyfdKkSVAoFEhKStJavn37digUCmPsokVFR0dDoVAgLS2ttYcia8Y8Dtzc3Az63yMxMRGmpqZYtGiRQftpytNPP43KykrY29sbbZtEUsFeieSBrRLJA1slkge2SiQPbJXkxGh/uW5paYnk5GRUVVUZa5MAgNu3bxt1e/fbtm0bvvrqK3Tu3LlF9/O4aKnjoDmrVq3CzJkzsWrVKqNt08LCAs7OzrL4ByKiB8FeieSBrRLJA1slkge2SiQPbJXkwmiT68HBwXB2dkZiYmKj68THx8PX11drWVpaGtzc3DS3J02ahNGjR2PBggXo3Lkz3N3dAQDLly9Hr169YGlpCScnJ4SGhmoeo1arkZiYiG7dusHKygo+Pj7YvHlzs2P+4YcfMHnyZKxfvx7m5uaGPWFqkD7HAQBs2bIFXl5eUCqVcHNzw+LFizX3BQUF4fz584iJiYFCoWj2zWf//v24efMmEhIScP36dRw6dEjr/q+//hpDhgyBra0t7Ozs0LdvXxQUFAAAzp8/j5EjR8LBwQHW1tbw8vJCVlYWgIY/KrNy5Uq4uLigTZs2GDNmDFJTU9G2bVvN/fXH+GeffQY3NzfY29sjLCwM1dXVmnX0OV6zsrKgUqlgZWWFIUOG4Ny5c02+BkQPgr2yV5IHtspWSR7YKlsleWCrbJXkga2yVbkw2uS6qakpFi5ciGXLluHChQsPta29e/eitLQUe/bsQWZmJgoKCjBlyhQkJCSgtLQUu3fvRmBgoGb9xMRErFu3DitWrMDJkycRExODiIgI7N+/v9F9qNVqREZGIjY2Fl5eXg81XrpHn+OgsLAQ48aNQ1hYGIqLixEfH485c+ZgzZo1AICtW7eiS5cuSEhIQGVlJSorK5vcZ3p6OsLDw2Fubo7w8HCkp6dr3T9hwgR06dIFR48eRWFhIWbNmqX5x5Q333wTtbW1OHDgAIqLi5GcnAwbG5sG95OXl4fo6Gi8/fbbKCoqQkhICBYsWKCzXllZGbZv347MzExkZmZi//79Wh9lau54/f777/HSSy9h5MiRKCoqQlRUFGbNmtXka0D0INgreyV5YKtsleSBrbJVkge2ylZJHtgqW5UNoYfCwkIBQBQWFjZ4/8SJE8WoUaOEEEI89dRT4rXXXhNCCLFt2zbx213ExcUJHx8frccuWbJEuLq6am3LyclJ1NbWapZt2bJF2NnZievXr+vs+9atW6JNmzbi0KFDWstff/11ER4e3uhzWrhwoQgJCRFqtVoIIYSrq6tYsmRJo+tnZGQ0+RqQ/sfByy+/LEJCQrQeGxsbKzw9PTW3m/vfo961a9eElZWVKCoqEkIIcfz4cWFjYyOqq6s169ja2oo1a9Y0+Hhvb28RHx/f4H379u0TAERVVZUQQojx48eLESNGaK0zYcIEYW9vr7kdFxcn2rRpo3WsxsbGigEDBggh9DteZ8+erfVaCCHEO++8ozUWahxb1Q97Za+tja3qh62y1dbGVvXDVtlqa2Or+mGrbFUK2Gvz2CpblYLm5sPrGe0v1+slJydj7dq1KCkpeeBteHt7w8LCQnM7JCQErq6u6N69OyIjI7F+/XrU1NQAAL777jvU1NQgJCQENjY2mp9169ahrKyswe0XFhbigw8+wJo1a/h9Ry2kqeOgpKQEAQEBWssCAgJw5swZ1NXVGbSfDRs2oEePHvDx8QEA+Pr6wtXVFRs3btSsM23aNERFRSE4OBhJSUlax8WUKVMwf/58BAQEIC4uDidOnGh0X6WlpfD399dadv9t4O7FMmxtbTW3O3XqhEuXLgHQ73gtKSnBgAEDtLY5cOBAfV8SIoOxV/ZK8sBW2SrJA1tlqyQPbJWtkjywVbYqdUafXA8MDMSwYcMwe/Zs3Z2ZmEAIobXszp07OutZW1tr3ba1tcWxY8ewYcMGdOrUCXPnzoWPjw+uXr2KGzduAAB27dqFoqIizc+pU6ca/d71gwcP4tKlS+jatSvMzMxgZmaG8+fPY/r06Vrf/04PrqnjwJjS09Nx8uRJzf+OZmZmOHXqlNaFJ+Lj43Hy5EmMGDECOTk58PT0xLZt2wAAUVFROHv2LCIjI1FcXIx+/fph2bJlDzWm+7+/X6FQQK1WA8ADHa9ELY293sNeScrY6j1slaSMrd7DVknK2Oo9bJWkjK3ew1alyawlNpqUlARfX1/NxUjrOTo64uLFixBCaP5ivKioSK9tmpmZITg4GMHBwYiLi0Pbtm2Rk5ODkJAQKJVKVFRUYPDgwXptKzIyEsHBwVrLhg0bhsjISLz66qt6bYOa19hx4OHhgby8PK1leXl5UKlUMDU1BXD3SsrN/StjcXExCgoKkJubi3bt2mmW//zzzwgKCsLp06fRu3dvAIBKpYJKpUJMTAzCw8OxevVqjBkzBgDg4uKC6OhoREdHY/bs2Vi5ciUmT56ssz93d3ccPXpUa9n9t5vj6enZ7PHq4eGBHTt2aC376quvDNoPkaHYqy72SlLEVnWxVZIitqqLrZIUsVVdbJWkiK3qYqvS0SKT697e3pgwYQKWLl2qtTwoKAiXL19GSkoKQkNDsXv3bmRnZ8POzq7J7WVmZuLs2bMIDAyEg4MDsrKyoFar4e7uDltbW8yYMQMxMTFQq9V45plncO3aNeTl5cHOzg4TJ07U2V779u3Rvn17rWXm5uZwdnbWCZUeXGPHwfTp09G/f3/MmzcP48ePR35+Pj788EMsX75cs46bmxsOHDiAsLAwKJVKdOjQQWf76enp8Pf317q4bb3+/fsjPT0dCQkJiI2NRWhoKLp164YLFy7g6NGjGDt2LABg6tSpGD58OFQqFaqqqrBv3z54eHg0+HwmT56MwMBApKamYuTIkcjJyUF2drZBXy2kz/EaHR2NxYsXIzY2FlFRUSgsLNRcjIOopbBXXeyVpIit6mKrJEVsVRdbJSliq7rYKkkRW9XFViXEGF/g/tsLDdQrLy8XFhYW4v5dfPzxx8LFxUVYW1uLV155RSxYsEDngqb3b+vgwYNi8ODBwsHBQVhZWYk+ffqIjRs3au5Xq9UiLS1NuLu7C3Nzc+Ho6CiGDRsm9u/fr8/TE0LwgqbGYMhxsHnzZuHp6SnMzc1F165dxaJFi7Tuz8/PF3369BFKpVLnsUIIUVtbK9q3by9SUlIaHEtycrLo2LGjuHXrlggLCxMuLi7CwsJCdO7cWbz11lvi5s2bQggh3nrrLdGjRw+hVCqFo6OjiIyMFFeuXBFC6F5wQgghPv30U/HEE08IKysrMXr0aDF//nzh7OysuV+fi/bqc7zu3LlT9OzZUyiVSjFo0CCxatUqXnBCT2xVP+yVvbY2tqoftspWWxtb1Q9bZautja3qh62yVSlgr81jq2xVCvS9oKlCiPu+BL0Bx44dQ9++fVFYWAg/Pz8jTOnLz/r16xEREfFYvwak64033sDp06dx8ODB1h4K/X9slRrDXqWFrVJj2Kq0sFVqDFuVFrZKjWGr0sNeqSFsVXr0nQ9vka+FIXpUvf/++wgJCYG1tTWys7Oxdu1arY8bEZF0sFcieWCrRPLAVonkga0SyQNbfXRwcp3IAEeOHEFKSgqqq6vRvXt3LF26FFFRUa09LCJqAHslkge2SiQPbJVIHtgqkTyw1UcHJ9eJDLBp06bWHgIR6Ym9EskDWyWSB7ZKJA9slUge2Oqjw6S1B0BEREREREREREREJDecXCciIiIiIiIiIiIiMhAn14mIiIiIiIiIiIiIDMTJdSIiIiIiIiIiIiIiAxl0QdOsrCyUlJS01FgkLS8vD8Dj/RoQyQFbJZIHtkokD2yVSB7YKpF8sFcieSgvL9drPYUQQjS3Un5+PgYNGoS6urqHHpicKUwUEOpmXy4iamUmJiZQq9WtPQwiagbPq0TywPMqkTywVSL5YK9E8mBqaoqDBw9i4MCBja6j11+uK5VK1NXVISMjAx4eHkYboJxkZWVhzpw5iPgkAk4qp9YeDhE14tR/TyF7QfZj/X5FJAc8rxLJA8+rRPJQf15lq0TSx16J5KGkpAQRERFQKpVNrmfQ18J4eHjAz8/voQYmV/Uf1XFSOcHFx6WVR0NEjfnx2x8BPN7vV0RywPMqkTzwvEokD/XnVbZKJH3slejRwguaEhEREREREREREREZiJPrREREREREREREREQG4uQ6EREREREREREREZGBOLlOj7yp7abixK4TrT0MANIaC9GjJDc3FwqFAlevXm3toUhqLEQtQUrnMimNhehRIqVzmZTGQiQ1UupDSmMhkhop9SGlsTwqjDK5PmnSJCgUCiQlJWkt3759OxQKhTF2YXT1Y/7tz/PPP9/aw3rslR8pR0yHGHw6/lOjbTOhJAGewZ5G2x7Ro8CY79tubm5IS0vTe/3ExESYmppi0aJFBu2nKU8//TQqKythb29vtG0SPQp4XiX6ffC8SiQPbJVIHtgqyYnR/nLd0tISycnJqKqqMtYmAQC3b9826vZ+6/nnn0dlZaXmZ8OGDS22L9LP4YzDGPTGIJTll+Fa5TWjbNPOyQ5mSjOjbIvoUdJS79vNWbVqFWbOnIlVq1YZbZsWFhZwdnaW7D/oErUWnleJfj88rxLJA1slkge2SnJhtMn14OBgODs7IzExsdF14uPj4evrq7UsLS0Nbm5umtuTJk3C6NGjsWDBAnTu3Bnu7u4AgOXLl6NXr16wtLSEk5MTQkNDNY9Rq9VITExEt27dYGVlBR8fH2zevLnZMSuVSjg7O2t+HBwcDHvSZFS1N2pxfPtxBLwWAM8QTxzZcERzX83VGnz258/w915/R2znWMzvNx+H1x8GAPx6+1dsnrkZcz3mYkanGXivz3vYs2SP5rH3f2S8/HA5UgJTMKPTDCx+djFO7DqBqe2m4kLxBQDAmS/PYGq7qfh2/7dY/OxixD4Ri7RhafjxzI9a4y3OKsb7Qe9jRqcZmPfkPOxO3o26X+s0918uu4ylI5ZiRqcZSHwqEaX7SlvkdSN6UPq8bwPAli1b4OXlBaVSCTc3NyxevFhzX1BQEM6fP4+YmBjNp4Casn//fty8eRMJCQm4fv06Dh06pHX/119/jSFDhsDW1hZ2dnbo27cvCgoKAADnz5/HyJEj4eDgAGtra3h5eSErKwtAwx9tW7lyJVxcXNCmTRuMGTMGqampaNu2reb++nPSZ599Bjc3N9jb2yMsLAzV1dWadfQ5v2RlZUGlUsHKygpDhgzBuXPnmnwNiH4vPK8S/b54XuV5leSBrbJVkge2ylblwmiT66ampli4cCGWLVuGCxcuPNS29u7di9LSUuzZsweZmZkoKCjAlClTkJCQgNLSUuzevRuBgYGa9RMTE7Fu3TqsWLECJ0+eRExMDCIiIrB///4m95Obm4uOHTvC3d0df/3rX/HTTz891Ljp4Rzffhwde3WEUy8n9BvXD4fXH4YQAgCQtTALF0sv4i+b/oJZX83Cn97/E6zbWwMADnxyAN9kf4OJqybi3SPvIvLTSLTr2q7Bfdy6fgsrX16Jzp6dMWPfDAyfPRw739vZ4Lq75u/CqHmjMH3vdJiYmeCLyV9o7ivLL8P6v65H4F8CMSt/FsaljsORDUewZ/HdyQe1Wo1Vr6yCmYUZYvbEYFzquEb3Q9Ra9HnfLiwsxLhx4xAWFobi4mLEx8djzpw5WLNmDQBg69at6NKlCxISEjSfAmpKeno6wsPDYW5ujvDwcKSnp2vdP2HCBHTp0gVHjx5FYWEhZs2aBXNzcwDAm2++idraWhw4cADFxcVITk6GjY1Ng/vJy8tDdHQ03n77bRQVFSEkJAQLFizQWa+srAzbt29HZmYmMjMzsX//fq2PHjZ3fvn+++/x0ksvYeTIkSgqKkJUVBRmzZrV5GtA9HvheZXo98XzKs+rJA9sla2SPLBVtioXRv1M75gxY+Dr64u4uDidA9AQ1tbW+Mc//gELCwsAd2OwtrbGCy+8AFtbW7i6uuLJJ58EANTW1mLhwoX473//i4EDBwIAunfvji+//BKffPIJBg8e3OA+nn/+ebz00kvo1q0bysrK8O6772L48OHIz8+HqanpA4+dHtzhjMPo96d+AIDeQ3vj5vWb+C7vO/R6pheqLlThCe8n0PXJrgCA9l3bax5X9UMVHHs4ovtT3aFQKNDOpeEJAAAo3FIIhUKB8WnjYW5pDufezrhWeQ0bp27UWXfE/41Az4CeAIDgqcH4dPynuHPrDswtzfHvlH9j6NSh8A/3BwB0cOuAP777R+yI34Hn33ke3+Z+ix/P/IjozdGw72Sv2d4n4z4xzotFZCTNvW+npqZi6NChmDNnDgBApVLh1KlTWLRoESZNmoR27drB1NQUtra2cHZ2bnJf169fx+bNm5Gfnw8AiIiIwKBBg/DBBx9ofumoqKhAbGwsevfuDQDo1auX5vEVFRUYO3YsvL29Adx9r2/MsmXLMHz4cMyYMUMz7kOHDiEzM1NrPbVajTVr1sDW1hYAEBkZib1792LBggV6nV8+/vhj9OjRQ/PXEe7u7ppfpIhaG8+rRL8/nld5XiV5YKtsleSBrbJVOTDaX67XS05Oxtq1a1FSUvLA2/D29tZMrANASEgIXF1d0b17d0RGRmL9+vWoqakBAHz33XeoqalBSEgIbGxsND/r1q1DWVlZo/sICwvDiy++CG9vb4wePRqZmZk4evQocnNzH3jc9OB+PPMjzh87D7+xfgAAUzNTPDnmSRzOuPsR9YBXA3B823GkBKZgR9wOlB8u1zzWP9wfPxT/gIX+C7Fl1haczjnd6H4unbmEzl6dYW5prlnm2te1wXU7e3XW/Ledkx0A4MaVGwCAH775Af9Z9B/MdJmp+dk4dSOuX7yO2zW38eO3P8LhCQfNBAAAuPm7GfiqEP0+mnrfLikpQUBAgNaygIAAnDlzBnV1dTrrN2XDhg3o0aMHfHx8AAC+vr5wdXXFxo33JuGmTZuGqKgoBAcHIykpSet9fMqUKZg/fz4CAgIQFxeHEydO6OyjXmlpKfz9/bWW3X8buHtxm/pfVACgU6dOuHTpEgD9zi8lJSUYMGCA1jbrf7Ehak08rxK1Hp5XeV4leWCrbJXkga2yVakz+uR6YGAghg0bhtmzZ+vuzMRE83Hkenfu3NFZz9raWuu2ra0tjh07hg0bNqBTp06YO3cufHx8cPXqVdy4cff/lO3atQtFRUWan1OnTun1vev1unfvjg4dOuC7777T+zFkPIczDkP9qxpxnnGY5jgN0xynIW9VHr7e+TVuXr8JzxBPxH0dh6C/BuHaxWtYPmY5/jXnXwAAFx8XzD0+F8NnD8edm3ew5rU1WD1x9UOPycT8N3n8/6/lUqvVAIDbv9zG87OeR+z+WM3PzC9n4u8Ff4eZJS/yRvLS1Pu2MaWnp+PkyZMwMzPT/Jw6dUrrQjHx8fE4efIkRowYgZycHHh6emLbtm0AgKioKJw9exaRkZEoLi5Gv379sGzZsocaU/1H+OopFApN58Y6vxC1Bp5XiVoPz6v38LxKUsZW72GrJGVs9R62Kk0t8v9WkpKS4Ovrq7kYaT1HR0dcvHgRQgjNRQSKior02qaZmRmCg4MRHByMuLg4tG3bFjk5OQgJCYFSqURFRUWjXwGjjwsXLuCnn35Cp06dHngb9GDqfq3D0Y1HMWreKPQe0lvrvvTIdBzbcgwBrwbApoMN/MP94R/uj7yBedgxdwdGzRsFALC0s4TfS37we8kPPi/64JM/fYJfqn6BtYP2P9R07NURBf8swK+1v8JMeffwrzhWYfCYu/TpgktnLsGxu2OD9zupnFD1QxWuXbwGe+e7f2V37ug5g/dD9Htp7H3bw8MDeXl5Wsvy8vKgUqk0X6FlYWHR7F8FFBcXo6CgALm5uWjX7t5XTPz8888ICgrC6dOnNR+tU6lUUKlUiImJQXh4OFavXo0xY8YAAFxcXBAdHY3o6GjMnj0bK1euxOTJk3X25+7ujqNHj2otu/92czw9PZs9v3h4eGDHjh1ay7766iuD9kNkbDyvErU+nld18bxKUsRWdbFVkiK2qoutSkeLTK57e3tjwoQJWLp0qdbyoKAgXL58GSkpKQgNDcXu3buRnZ0NOzu7JreXmZmJs2fPIjAwEA4ODsjKyoJarYa7uztsbW0xY8YMxMTEQK1W45lnnsG1a9eQl5cHOzs7TJw4UWd7N27cwHvvvYexY8fC2dkZZWVlmDlzJnr27Ilhw4YZ9bWg5p3890nUXK3BU5FPwcrOSuu+PiP74KuMr3Ct8hpcfF3g3NsZv9b+ilP/PgUnlRMAYN9H+2DnbIcu3l2gMFHg6399DTsnO1jZW+nsq+/Yvtg1fxc2xmzE0LeHoupCFXI+zAGAZq8a/VvPxT6HleEr4dDFAT4v+kBhosD/vvkfKk9XYsTfR0AVpELHHh3x+d8+x4sJL+JW9S1kLch6iFeJqGU19r49ffp09O/fH/PmzcP48eORn5+PDz/8EMuXL9es4+bmhgMHDiAsLAxKpRIdOnTQ2X56ejr8/f21LkZdr3///khPT0dCQgJiY2MRGhqKbt264cKFCzh69CjGjh0LAJg6dSqGDx8OlUqFqqoq7Nu3Dx4eHg0+n8mTJyMwMBCpqakYOXIkcnJykJ2dbVDn+pxfoqOjsXjxYsTGxiIqKgqFhYWai+cQtRaeV4laH8+runheJSliq7rYKkkRW9XFVqXD6F8LUy8hIUHzUYV6Hh4eWL58OT766CP4+PjgyJEjmi/vb0rbtm2xdetWPPvss/Dw8MCKFSuwYcMGeHl5AQDmzZuHOXPmIDExER4eHnj++eexa9cudOvWrcHtmZqa4sSJE3jxxRehUqnw+uuvo2/fvjh48CCUSuXDP3kyyOGMw3Af7K4zAQAAPiN98P3x72FiZoLMhEykDErBsheWQWGqwMT0u/9wYmljiZylOVg8dDFSh6bi5+9/xp83/hkmJrqHt6WdJd74/A38UPwDFg1ehKwFWRg28+4/qNT/xZ0+PIZ64I0Nb6B0XylSg1OR9lwacj/ORbsud/+F08TEBK999hru3LqD1OBUfPH2F/jj3//4IC8P0e+mofdtPz8/bNq0CV988QX+8Ic/YO7cuUhISMCkSZO0Hnfu3Dn06NEDjo66f3V6+/ZtZGRkaH7puN/YsWOxbt06mJiY4KeffsIrr7wClUqFcePGYfjw4XjvvfcAAHV1dXjzzTc17/MqlUrrl6bfCggIwIoVK5CamgofHx/s3r0bMTExsLS0NOg1ae780rVrV2zZsgXbt2+Hj48PVqxYgYULFxq0DyJj43mVSBp4XtXF8ypJEVvVxVZJitiqLrYqDQpx/5egN+DYsWPo27cvCgsL4efn93uMS3LWr1+PiIgITN83HS4+Lq09HDKign8WYMNbG5B4LhEWVhbNP4AkreCfBcj4S8Zj/X5FDXvjjTdw+vRpHDx4sLWHQuB59VHG8+qjhedVagzPq9JSf15lq3Q/tio97JUawlalR9/5cF4hih47R744gg5uHWDfyR4/fPMDdsbvhO9oX04AED1i3n//fYSEhMDa2hrZ2dlYu3Zto385QEQPjudVoscDz6tE8sBWieSBrT46OLlOj53qS9XITsxG9aVq2DnZwXeUL0b834jWHhYRGdmRI0eQkpKC6upqdO/eHUuXLkVUVFRrD4vokcPzKtHjgedVInlgq0TywFYfHZxcp8fO0ClDMXTK0NYeBhG1sE2bNrX2EIgeCzyvEj0eeF4lkge2SiQPbPXR0WIXNCUiIiIiIiIiIiIielRxcp2IiIiIiIiIiIiIyECcXCciIiIiIiIiIiIiMhAn14mIiIiIiIiIiIiIDGTQBU2zsrJQUlLSUmORtLy8PADAqf+ewo/f/tjKoyGixpw9fBbA4/1+RSQHPK8SyQPPq0TyUH9eZatE0sdeieShvLxcr/UUQgjR3Er5+fkYNGgQ6urqHnpgcqYwUUCom325iKiVmZiYQK1Wt/YwiKgZbJVIHtgqkTywVSL5YK9E8mBqaoqDBw9i4MCBja6j11+uK5VK1NXVISMjAx4eHkYboJxkZWVhzpw5iPgkAk4qp9YeDhE14tR/TyF7QfZj/X5FJAf151W2SiRtbJVIHtgqkXywVyJ5KCkpQUREBJRKZZPrGfS1MB4eHvDz83uogclV/Ud1nFROcPFxaeXREFFj6r9e4nF+vyKSg/rzKlslkja2SiQPbJVIPtgr0aOFFzQlIiIiIiIiIiIiIjIQJ9eJiIiIiIiIiIiIiAzEyXV65E1tNxUndp1o7WEAkNZYiB4lubm5UCgUuHr1amsPRVJjIZIaKfUhpbEQSY2U+pDSWIikRkp9SGksRFIjpT6kNJZHhVEm1ydNmgSFQoGkpCSt5du3b4dCoTDGLlpESUkJXnzxRdjb28Pa2hr9+/dHRUVFaw/rsVZ+pBwxHWLw6fhPjbbNhJIEeAZ7Gm17RI8CY75vu7m5IS0tTe/1ExMTYWpqikWLFhm0n6Y8/fTTqKyshL29vdG2SSQFbJVIHtgqkTywVSJ5YKskJ0b7y3VLS0skJyejqqrKWJsEANy+fduo26tXVlaGZ555Br1790Zubi5OnDiBOXPmwNLSskX2R/o5nHEYg94YhLL8MlyrvGaUbdo52cFMadC1e4keCy31vt2cVatWYebMmVi1apXRtmlhYQFnZ2dJ/4Mu0YNiq0TywFaJ5IGtEskDWyW5MNrkenBwMJydnZGYmNjoOvHx8fD19dValpaWBjc3N83tSZMmYfTo0ViwYAE6d+4Md3d3AMDy5cvRq1cvWFpawsnJCaGhoZrHqNVqJCYmolu3brCysoKPjw82b97c5Hj//ve/449//CNSUlLw5JNPokePHnjxxRfRsWNHw588GUXtjVoc334cAa8FwDPEE0c2HNHcV3O1Bp/9+TP8vdffEds5FvP7zcfh9YcBAL/e/hWbZ27GXI+5mNFpBt7r8x72LNmjeez9X8VSfrgcKYEpmNFpBhY/uxgndp3A1HZTcaH4AgDgzJdnMLXdVHy7/1ssfnYxYp+IRdqwNPx45ket8RZnFeP9oPcxo9MMzHtyHnYn70bdr3Wa+y+XXcbSEUsxo9MMJD6ViNJ9pS3yuhE9KH3etwFgy5Yt8PLyglKphJubGxYvXqy5LygoCOfPn0dMTAwUCkWzvyzs378fN2/eREJCAq5fv45Dhw5p3f/1119jyJAhsLW1hZ2dHfr27YuCggIAwPnz5zFy5Eg4ODjA2toaXl5eyMrKAtDwR9tWrlwJFxcXtGnTBmPGjEFqairatm2rub/+nPTZZ5/Bzc0N9vb2CAsLQ3V1tWYdfc4vWVlZUKlUsLKywpAhQ3Du3LkmXwMiQ7FVtkrywFbZKskDW2WrJA9sla3KhdEm101NTbFw4UIsW7YMFy5ceKht7d27F6WlpdizZw8yMzNRUFCAKVOmICEhAaWlpdi9ezcCAwM16ycmJmLdunVYsWIFTp48iZiYGERERGD//v0Nbl+tVmPXrl1QqVQYNmwYOnbsiAEDBmD79u0PNW56OMe3H0fHXh3h1MsJ/cb1w+H1hyGEAABkLczCxdKL+Mumv2DWV7Pwp/f/BOv21gCAA58cwDfZ32Diqol498i7iPw0Eu26tmtwH7eu38LKl1eis2dnzNg3A8NnD8fO93Y2uO6u+bswat4oTN87HSZmJvhi8hea+8ryy7D+r+sR+JdAzMqfhXGp43BkwxHsWXx3Ul+tVmPVK6tgZmGGmD0xGJc6rtH9ELUWfd63CwsLMW7cOISFhaG4uBjx8fGYM2cO1qxZAwDYunUrunTpgoSEBFRWVqKysrLJfaanpyM8PBzm5uYIDw9Henq61v0TJkxAly5dcPToURQWFmLWrFkwNzcHALz55puora3FgQMHUFxcjOTkZNjY2DS4n7y8PERHR+Ptt99GUVERQkJCsGDBAp31ysrKsH37dmRmZiIzMxP79+/X+uhhc+eX77//Hi+99BJGjhyJoqIiREVFYdasWU2+BkSGYqtsleSBrbJVkge2ylZJHtgqW5ULo35XxpgxY+Dr64u4uDidA9AQ1tbW+Mc//gELCwsAd2OwtrbGCy+8AFtbW7i6uuLJJ58EANTW1mLhwoX473//i4EDBwIAunfvji+//BKffPIJBg8erLP9S5cu4caNG0hKSsL8+fORnJyM3bt346WXXsK+ffsafAy1vMMZh9HvT/0AAL2H9sbN6zfxXd536PVML1RdqMIT3k+g65NdAQDtu7bXPK7qhyo49nBE96e6Q6FQoJ1LwxPrAFC4pRAKhQLj08bD3NIczr2dca3yGjZO3aiz7oj/G4GeAT0BAMFTg/Hp+E9x59YdmFua498p/8bQqUPhH+4PAOjg1gF/fPeP2BG/A8+/8zy+zf0WP575EdGbo2HfyV6zvU/GfWKcF4vISJp7305NTcXQoUMxZ84cAIBKpcKpU6ewaNEiTJo0Ce3atYOpqSlsbW3h7Ozc5L6uX7+OzZs3Iz8/HwAQERGBQYMG4YMPPtD80lFRUYHY2Fj07t0bANCrVy/N4ysqKjB27Fh4e3sDuPte35hly5Zh+PDhmDFjhmbchw4dQmZmptZ6arUaa9asga2tLQAgMjISe/fuxYIFC/Q6v3z88cfo0aOH5q8j3N3dNb9IERkTW2WrJA9sla2SPLBVtkrywFbZqhwY7S/X6yUnJ2Pt2rUoKSl54G14e3trJtYBICQkBK6urujevTsiIyOxfv161NTUAAC+++471NTUICQkBDY2NpqfdevWoaysrMHtq9VqAMCoUaMQExMDX19fzJo1Cy+88AJWrFjxwOOmB/fjmR9x/th5+I31AwCYmpniyTFP4nDG3a9+CXg1AMe3HUdKYAp2xO1A+eFyzWP9w/3xQ/EPWOi/EFtmbcHpnNON7ufSmUvo7NUZ5pbmmmWufV0bXLezV2fNf9s52QEAbly5AQD44Zsf8J9F/8FMl5man41TN+L6xeu4XXMbP377IxyecNBMrAOAm7+bga8K0e+jqfftkpISBAQEaC0LCAjAmTNnUFdXp7N+UzZs2IAePXrAx8cHAODr6wtXV1ds3HjvH7emTZuGqKgoBAcHIykpSet9fMqUKZg/fz4CAgIQFxeHEydO6OyjXmlpKfz9/bWW3X8buHtxm/pfVACgU6dOuHTpEgD9zi8lJSUYMGCA1jbrf7EhMja2ylZJHtgqWyV5YKtsleSBrbJVqTP65HpgYCCGDRuG2bNn6+7MxETzNR/17ty5o7OetbW11m1bW1scO3YMGzZsQKdOnTB37lz4+Pjg6tWruHHj7mTnrl27UFRUpPk5depUo9+73qFDB5iZmcHT01NruYeHByoqKgx6vmQchzMOQ/2rGnGecZjmOA3THKchb1Uevt75NW5evwnPEE/EfR2HoL8G4drFa1g+Zjn+NedfAAAXHxfMPT4Xw2cPx52bd7DmtTVYPXH1Q4/JxPw3efz/r+Wq/4eZ27/cxvOznkfs/ljNz8wvZ+LvBX+HmSUvnkry0tT7tjGlp6fj5MmTMDMz0/ycOnVK60Ix8fHxOHnyJEaMGIGcnBx4enpi27ZtAICoqCicPXsWkZGRKC4uRr9+/bBs2bKHGlP9R/jqKRQKTecPcn4hakls9R62SlLGVu9hqyRlbPUetkpSxlbvYavS1CKzgElJSfD19dVcjLSeo6MjLl68CCGE5iICRUVFem3TzMwMwcHBCA4ORlxcHNq2bYucnByEhIRAqVSioqJC769zsbCwQP/+/VFaqn2ByW+//Raurg3/FTO1nLpf63B041GMmjcKvYf01rovPTIdx7YcQ8CrAbDpYAP/cH/4h/sjb2AedszdgVHzRgEALO0s4feSH/xe8oPPiz745E+f4JeqX2DtoP0PNR17dUTBPwvwa+2vMFPePfwrjhn+Dypd+nTBpTOX4NjdscH7nVROqPqhCtcuXoO9892/Xj939JzB+yH6vTT2vu3h4YG8vDytZXl5eVCpVDA1NQVw9z21ub8KKC4uRkFBAXJzc9Gu3b2vbvr5558RFBSE06dPaz5ap1KpoFKpEBMTg/DwcKxevRpjxowBALi4uCA6OhrR0dGYPXs2Vq5cicmTJ+vsz93dHUePHtVadv/t5nh6ejZ7fvHw8MCOHTu0ln311VcG7YfIEGxVF1slKWKrutgqSRFb1cVWSYrYqi62Kh0tMrnu7e2NCRMmYOnSpVrLg4KCcPnyZaSkpCA0NBS7d+9GdnY27OzsmtxeZmYmzp49i8DAQDg4OCArKwtqtRru7u6wtbXFjBkzEBMTA7VajWeeeQbXrl1DXl4e7OzsMHHixAa3GRsbi/HjxyMwMBBDhgzB7t27sXPnTuTm5hrrZSA9nfz3SdRcrcFTkU/Bys5K674+I/vgq4yvcK3yGlx8XeDc2xm/1v6KU/8+BSeVEwBg30f7YOdshy7eXaAwUeDrf30NOyc7WNlb6eyr79i+2DV/FzbGbMTQt4ei6kIVcj7MAYBmrxr9W8/FPoeV4Svh0MUBPi/6QGGiwP+++R8qT1dixN9HQBWkQsceHfH53z7Hiwkv4lb1LWQtyHqIV4moZTX2vj19+nT0798f8+bNw/jx45Gfn48PP/wQy5cv16zj5uaGAwcOICwsDEqlEh06dNDZfnp6Ovz9/bUuRl2vf//+SE9PR0JCAmJjYxEaGopu3brhwoULOHr0KMaOHQsAmDp1KoYPHw6VSoWqqirs27cPHh4eDT6fyZMnIzAwEKmpqRg5ciRycnKQnZ1tUOf6nF+io6OxePFixMbGIioqCoWFhZqL5xC1BLaqi62SFLFVXWyVpIit6mKrJEVsVRdblQ6jfy1MvYSEBM1HFep5eHhg+fLl+Oijj+Dj44MjR45ovry/KW3btsXWrVvx7LPPwsPDAytWrMCGDRvg5eUFAJg3bx7mzJmDxMREeHh44Pnnn8euXbvQrVu3Rrc5ZswYrFixAikpKfD29sY//vEPbNmyBc8888zDPXEy2OGMw3Af7K4zsQ4APiN98P3x72FiZoLMhEykDErBsheWQWGqwMT0u/9wYmljiZylOVg8dDFSh6bi5+9/xp83/hkmJrqHt6WdJd74/A38UPwDFg1ehKwFWRg2cxgAaP6SXR8eQz3wxoY3ULqvFKnBqUh7Lg25H+eiXZe7/8JpYmKC1z57DXdu3UFqcCq+ePsL/PHvf3yQl4fod9PQ+7afnx82bdqEL774An/4wx8wd+5cJCQkYNKkSVqPO3fuHHr06AFHR91Pc9y+fRsZGRmaXzruN3bsWKxbtw4mJib46aef8Morr0ClUmHcuHEYPnw43nvvPQBAXV0d3nzzTc37vEql0vql6bcCAgKwYsUKpKamwsfHB7t370ZMTAwsLS0Nek2aO7907doVW7Zswfbt2+Hj44MVK1Zg4cKFBu2DyFBsVRdbJSliq7rYKkkRW9XFVkmK2KoutioNCnH/l6A34NixY+jbty8KCwvh5+f3e4xLctavX4+IiAhM3zcdLj4urT0cMqKCfxZgw1sbkHguERZWFs0/gCSt4J8FyPhLxmP9fkUNe+ONN3D69GkcPHiwtYdCuHdeZat0P7YqLWyVGsNWpYWtUmPYqvSwV2oIW5UefefDeeVFeuwc+eIIOrh1gH0ne/zwzQ/YGb8TvqN9ObFO9Ih5//33ERISAmtra2RnZ2Pt2rWN/uUAEbUetkokD2yVSB7YKpE8sNVHByfX6bFTfaka2YnZqL5UDTsnO/iO8sWI/xvR2sMiIiM7cuQIUlJSUF1dje7du2Pp0qWIiopq7WER0X3YKpE8sFUieWCrRPLAVh8dnFynx87QKUMxdMrQ1h4GEbWwTZs2tfYQiEgPbJVIHtgqkTywVSJ5YKuPjha7oCkRERERERERERER0aOKk+tERERERERERERERAbi5DoRERERERERERERkYE4uU5EREREREREREREZCCDLmhaUlLSUuOQvPLycgDAj9/+2MojIaKm/FTxE4DH+/2KSA7qz6tslUja2CqRPLBVIvlgr0TyoG+jCiGEaG6liooKeHh4oKam5qEHJmcKEwWEutmXi4hamYmpCdR16tYeBhE1w9TUFHV1da09DCJqBlslkge2SiQf7JVIHtq0aYOSkhJ07dq10XX0mlwH7k6wX7lyxWiDk6Pa2loolcrWHgYRNYOtEskDWyWSB7ZKJA9slUg+2CuRPHTo0KHJiXXAgMl1IiIiIiIiIiIiIiK6ixc0JSIiIiIiIiIiIiIyECfXiYiIiIiIiIiIiIgMxMl1IiIiIiIiIiIiIiIDcXKdiIiIiIiIiIiIiMhAnFwnIiIiIiIiIiIiIjIQJ9eJiIiIiIiIiIiIiAzEyXUiIiIiIiIiIiIiIgNxcp2IiIiIiIiIiIiIyECcXCciIiIiIiIiIiIiMhAn14mIiIiIiIiIiIiIDMTJdSIiIiIiIiIiIiIiA3FynYiIiIiIiIiIiIjIQJxcJyIiIiIiIiIiIiIyECfXiYiIiIiIiIiIiIgMxMl1IiIiIiIiIiIiIiIDcXKdiIiIiIiIiIiIiMhA/w8A/dtXflHjxQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query76: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query77: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) > (shifts[0,2,1])]\n",
      "Query78: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) < (shifts[0,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,0,1]) != (shifts[0,2,1])]\n",
      "Size of CL:  11\n",
      "Size of B:  331\n",
      "Number of Queries:  79\n",
      "Query79: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query80: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query81: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) <= (shifts[0,2,0])]\n",
      "Query82: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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uLsLHH3+sspxcLhdiYmIEQRCEsrIyAYBw9OhR5XwbGxth5cqVyve3b98Whg0bJrRs2VIAoDLvURs2bBCkUqlgYmIieHp6Ctu3b9fos5MgpKWlMasaYFaPKuc/blZr63r01adPH40+/7OOWdUc83pUOf9x8+ri4lJnXmvbovoxq5pr7qzu2rWrzu18zJgx9S6zbNkyoW/fvoK9vb1gYmIitG/fXhg7dqxw9uxZZZk+ffoIH3zwgcpygwcPVqkXgLBlyxbl+z9nuVZERITQqlWrRrO3a9cuwdvbWzAxMRHc3NwaPGemh5hVzTGrW5TvnySrdX0GFxeXRj8/Ma+aYla3KN8/blb79Omj9WeghzQdC5YIgiA8zqD8s+bIkSPo1q0bCgoK4OPj09zdeaZ8+eWXiIyMxK+//goTE5Pm7g7pubVr1yI0NJRZbQbMKmmDWW1ezCtpilltXswqaYpZbV7MKmmDeW0+zCppQ9OxYN4WhvRWdXU1KioqkJCQgPfee487PiI9xawSiQfzSiQOzCqRODCrROLArFJT4gNNSW8lJiaic+fOcHR0xLRp05q7O0RUD2aVSDyYVyJxYFaJxIFZJRIHZpWaEgfXSW/Fxsbi3r172LlzJx82RqTHmFUi8WBeicSBWSUSB2aVSByYVWpKHFwnIiIiIiIiIiIiItISB9eJiIiIiIiIiIiIiLTEwXUiIiIiIiIiIiIiIi0ZaVqwvLwcV69ebcq+6LWSkhIAQGZmpvLfRKR/cnNzATCrRPqOWSUSB2aVSByYVSLxYF6JxKGsrEyjchJBEITGCpWXl0Mmk6G6uvqJOyZmBgYGUCgUzd0NImqExEACQdHoro2ImhmPq0TiwKwSiQOzSiQezCuROBgaGmLfvn3o1atXvWU0+uX61atXUV1djbS0NMhkMp11UEwyMzMxffr0Z3odEIlBbVZDl4bCQerQ3N0honoUf1+MrDlZPK4S6TmeAxOJA7NKJB7MK5E4lJSUIDQ0FKampg2W0/i2MAAgk8ng4+PzRB0Tq9pLdZ7ldUAkBrVZdZA6wFnu3My9IaL6XPrpEgAeV4n0Hc+BicSBWSUSD+aV6OnCB5oSEREREREREREREWmJg+tERERERERERERERFri4DoRERERERERERERkZY4uE5Uj927d0MikeDatWvN3RW96gtRU5loNxHHtx9v7m4A0K++ED1N9Ol4pk99IdI3+pQPfeoLkb7Rp3zoU1+I9I0+5UOf+vK00Mng+tixYyGRSJCQkKAyfevWrZBIJLpoQuc2b96MV199Fa1atYJEIkFhYWFzd0n0dLkduLq6IiUlRePy8fHxMDQ0xPz587VqpyEvvfQSKioqYGNjo7M6iZ4WZYfKENk6EstGLtNZnXElcfAI9NBZfURPAx5bicSBWSUSB2aVSByYVRITnf1y3czMDPPmzUNlZaWuqgQA3L17V6f11frjjz/w8ssvY968eU1S/7OqqbaDxqxYsQJTpkzBihUrdFaniYkJHB0d9fYLIqLmdDDtIHqP643TeadxveK6Tuq0drCGkamRTuoieprw2EokDswqkTgwq0TiwKySWOhscD0wMBCOjo6Ij4+vt0xsbCy8vb1VpqWkpMDV1VX5fuzYsRgyZAjmzJmDtm3bwt3dHQCwePFidOrUCWZmZnBwcMDw4cOVyygUCsTHx6NDhw4wNzeHXC7Hxo0bG+xvWFgYZsyYgcDAQO0/LNVLk+0AADZt2gRPT0+YmprC1dUVSUlJynkBAQE4d+4cIiMjIZFIGt357NmzB7du3UJcXBxu3LiB/fv3q8w/duwY+vbtCysrK1hbW6Nbt27Iz88HAJw7dw7BwcGwtbWFhYUFPD09kZmZCaDuS2WWL18OZ2dntGjRAkOHDkVycjJatmypnF+7jX/55ZdwdXWFjY0NRo0ahaqqKmUZTbbXzMxMSKVSmJubo2/fvjh79myD64Dor3Tn5h0c3XoUfu/6wSPIA4fSDynnVV+rxpf/+BIfdfoI0W2jMbv7bBxcexAAcP/ufWycshEzZDMQ5RSFmV1mYsfHO5TLPnorlrKDZUj0T0SUUxSSXknC8e3HMdFuIs4XnQcAnPrhFCbaTcRPe35C0itJiH4uGin9U3Dp1CWV/hZlFmFBwAJEOUVhVtdZyJ6XjZr7Ncr5V05fwcJBCxHlFIX4F+NRuqu0SdYb0ePisZXHVhIHZpVZJXFgVplVEgdmlVkVC50NrhsaGmLu3LlYtGgRzp8//0R17dy5E6WlpdixYwcyMjKQn5+PCRMmIC4uDqWlpcjOzoa/v7+yfHx8PNasWYMlS5bgxIkTiIyMRGhoKPbs2fOkH4u0pMl2UFBQgBEjRmDUqFEoKipCbGwspk+fjlWrVgF4cMuedu3aIS4uDhUVFaioqGiwzdTUVISEhMDY2BghISFITU1VmT969Gi0a9cOhw8fRkFBAaZOnQpjY2MAwPvvv487d+5g7969KCoqwrx582BpaVlnO7m5uYiIiMAHH3yAwsJCBAUFYc6cOWrlTp8+ja1btyIjIwMZGRnYs2ePyqVMjW2vv/zyC958800EBwejsLAQ4eHhmDp1aoPrgOivdHTrUbTp1AYOnRzQfUR3HFx7EIIgAAAy52biYulFvLfhPUw9MBVvLXgLFq0sAAB7l+7Fj1k/YsyKMfjPof8gbFkY7Nrb1dnG7Ru3sfxvy9HWoy2idkVh4LSB+Hbmt3WW3T57OwbPGozJOyfDwMgA68avU847nXcaa/+5Fv7v+WNq3lSMSB6BQ+mHsCPpwaC+QqHAirdXwMjECJE7IjEieUS97RA1Fx5beWwlcWBWmVUSB2aVWSVxYFaZVbHQ6fX3Q4cOhbe3N2JiYtQ2QG1YWFjgiy++gImJCYAHYbCwsMDrr78OKysruLi4oGvXrgCAO3fuYO7cufj+++/Rq1cvAICbmxt++OEHLF26FH369HnyD0ZaaWw7SE5ORr9+/TB9+nQAgFQqRXFxMebPn4+xY8fCzs4OhoaGsLKygqOjY4Nt3bhxAxs3bkReXh4AIDQ0FL1798Ynn3yi3ImVl5cjOjoanTt3BgB06tRJuXx5eTmGDRsGLy8vAA+2nfosWrQIAwcORFRUlLLf+/fvR0ZGhko5hUKBVatWwcrKCsCDqyR27tyJOXPmaLS9fv755+jYsaPy21Z3d3fljplIHxxMO4jub3UHAHTu1xm3btzCz7k/o9PLnVB5vhLPeT2H9l3bAwBatW+lXK7yQiXsO9rD7UU3SCQS2DnXPbAOAAWbCiCRSDAyZSSMzYzh2NkR1yuuY/3E9WplB/13EJ73ex4AEDgxEMtGLsO92/dgbGaM7xK/Q7+J/eAb4gsAaO3aGq/95zVsi92GAR8OwE+7f8KlU5cQsTECNk42yvqWjliqm5VFpCM8tvLYSuLArDKrJA7MKrNK4sCsMqtioLNfrteaN28eVq9ejZKSkseuw8vLSzmwDgBBQUFwcXGBm5sbwsLCsHbtWlRXVwMAfv75Z1RXVyMoKAiWlpbK15o1a3D69Okn/jz0eBraDkpKSuDn56cyzc/PD6dOnUJNTY1a+Yakp6ejY8eOkMvlAABvb2+4uLhg/fqHA3CTJk1CeHg4AgMDkZCQoLJdTJgwAbNnz4afnx9iYmJw/PhxtTZqlZaWwtfXV2Xao++BBw/LqN3xAYCTkxMuX74MQLPttaSkBD179lSps3ZHSdTcLp26hHNHzsFnmA8AwNDIEF2HdsXBtAe3fvF7xw9HtxxFon8itsVsQ9nBMuWyviG+uFB0AXN952LT1E04mXOy3nYun7qMtp5tYWxmrJzm0s2lzrJtPdsq/23tYA0AuHn1JgDgwo8X8L/5/8MU5ynK1/qJ63Hj4g3crb6LSz9dgu1ztsqBdQBw9XXVcq0Q/TV4bOWxlcSBWWVWSRyYVWaVxIFZZVb1nc4H1/39/dG/f39MmzZNvTEDA+WtA2rdu3dPrZyFhYXKeysrKxw5cgTp6elwcnLCjBkzIJfLce3aNdy8+WAAZfv27SgsLFS+iouLG73vOjWdhrYDXUpNTcWJEydgZGSkfBUXF6s8eCI2NhYnTpzAoEGDkJOTAw8PD2zZsgUAEB4ejjNnziAsLAxFRUXo3r07Fi1a9ER9qr0kqJZEIoFCoQAAbq8kegfTDkJxX4EYjxhMsp+ESfaTkLsiF8e+PYZbN27BI8gDMcdiEPDPAFy/eB2Lhy7GN9O/AQA4y50x4+gMDJw2EPdu3cOqd1dh5ZiVT9wnA+M/Hcr+/xZ6tZm7+8ddDJg6ANF7opWvKT9MwUf5H8HIjA9PJXHhsfUhHltJnzGrDzGrpM+Y1YeYVdJnzOpDzKp+apKRhYSEBHh7eysfRlrL3t4eFy9ehCAIyocIFBYWalSnkZERAgMDERgYiJiYGLRs2RI5OTkICgqCqakpysvLeQsYPVPfdiCTyZCbm6syLTc3F1KpFIaGhgAePEm5sW8Zi4qKkJ+fj927d8PO7uHtJX7//XcEBATg5MmTykt1pFIppFIpIiMjERISgpUrV2Lo0KEAAGdnZ0RERCAiIgLTpk3D8uXLMX78eLX23N3dcfjwYZVpj75vjIeHR6Pbq0wmw7Zt21SmHThwQKt2iJpCzf0aHF5/GINnDUbnvp1V5qWGpeLIpiPwe8cPlq0t4RviC98QX+T2ysW2GdsweNZgAICZtRl83vSBz5s+kL8hx9K3luKPyj9gYav6pWqbTm2Q/3U+7t+5DyPTB4eq8iPlWve5XZd2uHzqMuzd7Ouc7yB1QOWFSly/eB02jg9+vX728Fmt2yH6q/DYqo7HVtJHzKo6ZpX0EbOqjlklfcSsqmNW9UeTDK57eXlh9OjRWLhwocr0gIAAXLlyBYmJiRg+fDiys7ORlZUFa2vrBuvLyMjAmTNn4O/vD1tbW2RmZkKhUMDd3R1WVlaIiopCZGQkFAoFXn75ZVy/fh25ubmwtrbGmDFj6qzz999/R3l5OX799VcADy7JAABHR8dG78NEmqlvO5g8eTJ69OiBWbNmYeTIkcjLy8Onn36KxYsXK8u4urpi7969GDVqFExNTdG6dWu1+lNTU+Hr66vycNtaPXr0QGpqKuLi4hAdHY3hw4ejQ4cOOH/+PA4fPoxhw4YBACZOnIiBAwdCKpWisrISu3btgkwmq/PzjB8/Hv7+/khOTkZwcDBycnKQlZXV6NOm/0yT7TUiIgJJSUmIjo5GeHg4CgoKlA/jIGpOJ747gepr1Xgx7EWYW5urzOsS3AUH0g7gesV1OHs7w7GzI+7fuY/i74rhIHUAAOz6bBesHa3RzqsdJAYSHPvmGKwdrGFuY67WVrdh3bB99nasj1yPfh/0Q+X5SuR8mgMAWmXu1ehXsTxkOWzb2UL+hhwSAwl+/fFXVJyswKCPBkEaIEWbjm3w1b++whtxb+B21W1kzsl8grVE1LR4bFXHYyvpI2ZVHbNK+ohZVceskj5iVtUxq/pD57eFqRUXF6e8VKGWTCbD4sWL8dlnn0Eul+PQoUPKm/c3pGXLlti8eTNeeeUVyGQyLFmyBOnp6fD09AQAzJo1C9OnT0d8fDxkMhkGDBiA7du3o0OHDvXWuW3bNnTt2hWDBg0CAIwaNQpdu3bFkiVLnuBT06Pq2g58fHywYcMGrFu3Di+88AJmzJiBuLg4jB07VmW5s2fPomPHjrC3V//F6d27d5GWlqbciT1q2LBhWLNmDQwMDPDbb7/h7bffhlQqxYgRIzBw4EDMnDkTAFBTU4P3339fud1IpVKVnfCf+fn5YcmSJUhOToZcLkd2djYiIyNhZmam1TppbHtt3749Nm3ahK1bt0Iul2PJkiWYO3euVm0QNYWDaQfh3sddbWAdAOTBcvxy9BcYGBkgIy4Dib0Tsej1RZAYSjAm9cGXnGaWZshZmIOkfklI7peM33/5Hf9Y/w8YGKgfisyszTDuq3G4UHQB8/vMR+acTPSf0h8AlL9k14Ssnwzj0sehdFcpkgOTkfJqCnZ/vht27R78GsHAwADvfvku7t2+h+TAZKz7YB1e++i1x1k9RH8ZHlvV8dhK+ohZVceskj5iVtUxq6SPmFV1zKp+kAiP3gS9DkeOHEG3bt1QUFAAHx+fv6Jfemft2rUIDQ19ptcBqRs3bhxOnjyJffv2NXdX6P/VZnXyrslwljs3d3dIh/K/zkf6v9MRfzYeJuYmjS9Aei3/63ykvZfG4yqp4bFVv/AcmOrDrOoXZpXqw6zqH+aV6sKs6h9Nx8P5NDciLSxYsABBQUGwsLBAVlYWVq9eXe83kUT0ZA6tO4TWrq1h42SDCz9ewLex38J7iDcH1omeMjy2EokDs0okDswqkTgwq08PDq4TaeHQoUNITExEVVUV3NzcsHDhQoSHhzd3t4ieSlWXq5AVn4Wqy1WwdrCG92BvDPrvoObuFhHpGI+tROLArBKJA7NKJA7M6tODg+tEWtiwYUNzd4HomdFvQj/0m9CvubtBRE2Mx1YicWBWicSBWSUSB2b16dFkDzQlIiIiIiIiIiIiInpacXCdiIiIiIiIiIiIiEhLHFwnIiIiIiIiIiIiItISB9eJiIiIiIiIiIiIiLSk1QNNMzMzUVJS0lR90Wu5ubkAnu11QCQGtVkt/r4Yl3661My9IaL6nDl4BgCPq0T6jufAROLArBKJB/NKJA5lZWUalZMIgiA0VigvLw+9e/dGTU3NE3dMzCQGEgiKRlcXETUzAwMDKBSK5u4GETWCWSUSB2aVSByYVSLxYF6JxMHQ0BD79u1Dr1696i2j0S/XTU1NUVNTg7S0NMhkMp11UEwyMzMxffp0hC4NhYPUobm7Q0T1KP6+GFlzsp7p/RWRGNQeV5lVIv3GrBKJA7NKJB7MK5E4lJSUIDQ0FKampg2W0+q2MDKZDD4+Pk/UMbGqvVTHQeoAZ7lzM/eGiOpTeyuYZ3l/RSQGtcdVZpVIvzGrROLArBKJB/NK9HThA02JiIiIiIiIiIiIiLTEwXUiIiIiIiIiIiIiIi1xcJ2IiIiIiIiIiIiISEscXKen3kS7iTi+/XhzdwOAfvWF6Gmye/duSCQSXLt2rbm7old9IdI3+pQPfeoLkb7Rp3zoU1+I9I0+5UOf+kKkb/QpH/rUl6eFTgbXx44dC4lEgoSEBJXpW7duhUQi0UUTOnXv3j18+OGH8PLygoWFBdq2bYu3334bv/76a3N37ZlXdqgMka0jsWzkMp3VGVcSB49AD53VR/Q00OV+29XVFSkpKRqXj4+Ph6GhIebPn69VOw156aWXUFFRARsbG53VSaQPmFUicWBWicSBWSUSB2aVxERnv1w3MzPDvHnzUFlZqasqAQB3797VaX0AUF1djSNHjmD69Ok4cuQINm/ejNLSUrzxxhs6b4u0czDtIHqP643TeadxveK6Tuq0drCGkamRTuoiepo01X67MStWrMCUKVOwYsUKndVpYmICR0dHvfxCl+hJMatE4sCsEokDs0okDswqiYXOBtcDAwPh6OiI+Pj4esvExsbC29tbZVpKSgpcXV2V78eOHYshQ4Zgzpw5aNu2Ldzd3QEAixcvRqdOnWBmZgYHBwcMHz5cuYxCoUB8fDw6dOgAc3NzyOVybNy4sd5+2NjYYMeOHRgxYgTc3d3x4osv4tNPP0VBQQHKy8sfbwXQE7tz8w6Obj0Kv3f94BHkgUPph5Tzqq9V48t/fImPOn2E6LbRmN19Ng6uPQgAuH/3PjZO2YgZshmIcorCzC4zsePjHcplH70VS9nBMiT6JyLKKQpJryTh+PbjmGg3EeeLzgMATv1wChPtJuKnPT8h6ZUkRD8XjZT+Kbh06pJKf4syi7AgYAGinKIwq+ssZM/LRs39GuX8K6evYOGghYhyikL8i/Eo3VXaJOuN6HFpst8GgE2bNsHT0xOmpqZwdXVFUlKScl5AQADOnTuHyMhISCSSRk8W9uzZg1u3biEuLg43btzA/v37VeYfO3YMffv2hZWVFaytrdGtWzfk5+cDAM6dO4fg4GDY2trCwsICnp6eyMzMBFD3pW3Lly+Hs7MzWrRogaFDhyI5ORktW7ZUzq89Jn355ZdwdXWFjY0NRo0ahaqqKmUZTY4vmZmZkEqlMDc3R9++fXH27NkG1wGRtphVZpXEgVllVkkcmFVmlcSBWWVWxUJng+uGhoaYO3cuFi1ahPPnzz9RXTt37kRpaSl27NiBjIwM5OfnY8KECYiLi0NpaSmys7Ph7++vLB8fH481a9ZgyZIlOHHiBCIjIxEaGoo9e/Zo3Ob169chkUhUNmT6ax3dehRtOrWBQycHdB/RHQfXHoQgCACAzLmZuFh6Ee9teA9TD0zFWwvegkUrCwDA3qV78WPWjxizYgz+c+g/CFsWBrv2dnW2cfvGbSz/23K09WiLqF1RGDhtIL6d+W2dZbfP3o7BswZj8s7JMDAywLrx65TzTuedxtp/roX/e/6YmjcVI5JH4FD6IexIejCor1AosOLtFTAyMULkjkiMSB5RbztEzUWT/XZBQQFGjBiBUaNGoaioCLGxsZg+fTpWrVoFANi8eTPatWuHuLg4VFRUoKKiosE2U1NTERISAmNjY4SEhCA1NVVl/ujRo9GuXTscPnwYBQUFmDp1KoyNjQEA77//Pu7cuYO9e/eiqKgI8+bNg6WlZZ3t5ObmIiIiAh988AEKCwsRFBSEOXPmqJU7ffo0tm7dioyMDGRkZGDPnj0qlx42dnz55Zdf8OabbyI4OBiFhYUIDw/H1KlTG1wHRNpiVplVEgdmlVklcWBWmVUSB2aVWRULnd4rY+jQofD29kZMTIzaBqgNCwsLfPHFFzAxMQHwIAwWFhZ4/fXXYWVlBRcXF3Tt2hUAcOfOHcydOxfff/89evXqBQBwc3PDDz/8gKVLl6JPnz6Ntnf79m18+OGHCAkJgbW19WP3m57MwbSD6P5WdwBA536dcevGLfyc+zM6vdwJlecr8ZzXc2jftT0AoFX7VsrlKi9Uwr6jPdxedINEIoGdc90D6wBQsKkAEokEI1NGwtjMGI6dHXG94jrWT1yvVnbQfwfheb/nAQCBEwOxbOQy3Lt9D8Zmxvgu8Tv0m9gPviG+AIDWrq3x2n9ew7bYbRjw4QD8tPsnXDp1CREbI2DjZKOsb+mIpbpZWUQ60th+Ozk5Gf369cP06dMBAFKpFMXFxZg/fz7Gjh0LOzs7GBoawsrKCo6Ojg22dePGDWzcuBF5eXkAgNDQUPTu3RuffPKJ8qSjvLwc0dHR6Ny5MwCgU6dOyuXLy8sxbNgweHl5AXiwr6/PokWLMHDgQERFRSn7vX//fmRkZKiUUygUWLVqFaysrAAAYWFh2LlzJ+bMmaPR8eXzzz9Hx44dlb+OcHd3V55IEekSs8qskjgwq8wqiQOzyqySODCrzKoY6OyX67XmzZuH1atXo6Sk5LHr8PLyUg6sA0BQUBBcXFzg5uaGsLAwrF27FtXV1QCAn3/+GdXV1QgKCoKlpaXytWbNGpw+fbrRtu7du4cRI0ZAEAR8/vnnj91nejKXTl3CuSPn4DPMBwBgaGSIrkO74mDag1u/+L3jh6NbjiLRPxHbYrah7GCZclnfEF9cKLqAub5zsWnqJpzMOVlvO5dPXUZbz7YwNjNWTnPp5lJn2baebZX/tnZ48KXLzas3AQAXfryA/83/H6Y4T1G+1k9cjxsXb+Bu9V1c+ukSbJ+zVQ6sA4Crr6uWa4Xor9HQfrukpAR+fn4q0/z8/HDq1CnU1NSolW9Ieno6OnbsCLlcDgDw9vaGi4sL1q9/+OXWpEmTEB4ejsDAQCQkJKjsxydMmIDZs2fDz88PMTExOH78uFobtUpLS+Hr66sy7dH3wIOH29SeqACAk5MTLl++DECz40tJSQl69uypUmftiQ2RrjGrzCqJA7PKrJI4MKvMKokDs8qs6judD677+/ujf//+mDZtmnpjBgbK23zUunfvnlo5CwsLlfdWVlY4cuQI0tPT4eTkhBkzZkAul+PatWu4efPBYOf27dtRWFiofBUXFzd43/XatkeMGIFz585hx44d/NV6MzqYdhCK+wrEeMRgkv0kTLKfhNwVuTj27THcunELHkEeiDkWg4B/BuD6xetYPHQxvpn+DQDAWe6MGUdnYOC0gbh36x5WvbsKK8esfOI+GRj/KR7/f1suhUIBALj7x10MmDoA0Xuila8pP0zBR/kfwciMD08lcWlov61LqampOHHiBIyMjJSv4uJilQfFxMbG4sSJExg0aBBycnLg4eGBLVu2AADCw8Nx5swZhIWFoaioCN27d8eiRYueqE+1l/DVkkgkypw/yfGFqCkwqw8xq6TPmNWHmFXSZ8zqQ8wq6TNm9SFmVT81yShgQkICvL29lQ8jrWVvb4+LFy9CEATlQwQKCws1qtPIyAiBgYEIDAxETEwMWrZsiZycHAQFBcHU1BTl5eUa3QKmVu3A+qlTp7Br1y60atWq8YWoSdTcr8Hh9YcxeNZgdO7bWWVealgqjmw6Ar93/GDZ2hK+Ib7wDfFFbq9cbJuxDYNnDQYAmFmbwedNH/i86QP5G3IsfWsp/qj8Axa2ql/UtOnUBvlf5+P+nfswMn2w+Zcf0f4htu26tMPlU5dh72Zf53wHqQMqL1Ti+sXrsHF88Ov1s4fPat0O0V+lvv22TCZDbm6uyrTc3FxIpVIYGhoCePDk88Z+FVBUVIT8/Hzs3r0bdnYPb930+++/IyAgACdPnlReWieVSiGVShEZGYmQkBCsXLkSQ4cOBQA4OzsjIiICERERmDZtGpYvX47x48ertefu7o7Dhw+rTHv0fWM8PDwaPb7IZDJs27ZNZdqBAwe0aodIG8yqOmaV9BGzqo5ZJX3ErKpjVkkfMavqmFX90SSD615eXhg9ejQWLlyoMj0gIABXrlxBYmIihg8fjuzsbGRlZTX6i/GMjAycOXMG/v7+sLW1RWZmJhQKBdzd3WFlZYWoqChERkZCoVDg5ZdfxvXr15Gbmwtra2uMGTNGrb579+5h+PDhOHLkCDIyMlBTU4OLFy8CAOzs7FRuSUNN78R3J1B9rRovhr0Ic2tzlXldgrvgQNoBXK+4DmdvZzh2dsT9O/dR/F0xHKQOAIBdn+2CtaM12nm1g8RAgmPfHIO1gzXMbczV2uo2rBu2z96O9ZHr0e+Dfqg8X4mcT3MAoNGnRv/Zq9GvYnnIcti2s4X8DTkkBhL8+uOvqDhZgUEfDYI0QIo2Hdvgq399hTfi3sDtqtvInJP5BGuJqGnVt9+ePHkyevTogVmzZmHkyJHIy8vDp59+isWLFyvLuLq6Yu/evRg1ahRMTU3RunVrtfpTU1Ph6+ur8jDqWj169EBqairi4uIQHR2N4cOHo0OHDjh//jwOHz6MYcOGAQAmTpyIgQMHQiqVorKyErt27YJMJqvz84wfPx7+/v5ITk5GcHAwcnJykJWVpVXONTm+REREICkpCdHR0QgPD0dBQYHy4TlETYFZVceskj5iVtUxq6SPmFV1zCrpI2ZVHbOqP3R+W5hacXFxyksVaslkMixevBifffYZ5HI5Dh06pLx5f0NatmyJzZs345VXXoFMJsOSJUuQnp4OT09PAMCsWbMwffp0xMfHQyaTYcCAAdi+fTs6dOhQZ30XLlzAtm3bcP78eXh7e8PJyUn52r9//5N/eNLKwbSDcO/jrjawDgDyYDl+OfoLDIwMkBGXgcTeiVj0+iJIDCUYk/rgixMzSzPkLMxBUr8kJPdLxu+//I5/rP8HDAzUN28zazOM+2ocLhRdwPw+85E5JxP9p/QHAOUv2TUh6yfDuPRxKN1ViuTAZKS8moLdn++GXbsH33AaGBjg3S/fxb3b95AcmIx1H6zDax+99jirh+gvU9d+28fHBxs2bMC6devwwgsvYMaMGYiLi8PYsWNVljt79iw6duwIe3v1qznu3r2LtLQ05UnHo4YNG4Y1a9bAwMAAv/32G95++21IpVKMGDECAwcOxMyZMwEANTU1eP/995X7ealUqnLS9Gd+fn5YsmQJkpOTIZfLkZ2djcjISJiZmWm1Tho7vrRv3x6bNm3C1q1bIZfLsWTJEsydO1erNoi0xayqY1ZJHzGr6phV0kfMqjpmlfQRs6qOWdUPEuHRm6DX4ciRI+jWrRsKCgrg4+PzV/RL76xduxahoaGYvGsynOXOzd0d0qH8r/OR/u90xJ+Nh4k5r1oQu/yv85H2Xtozvb+iuo0bNw4nT57Evn37mrsrhIfHVWaVHsWs6hdmlerDrOoXZpXqw6zqH+aV6sKs6h9Nx8P55EV65hxadwitXVvDxskGF368gG9jv4X3EG8OrBM9ZRYsWICgoCBYWFggKysLq1evrveXA0TUfJhVInFgVonEgVklEgdm9enBwXV65lRdrkJWfBaqLlfB2sEa3oO9Mei/g5q7W0SkY4cOHUJiYiKqqqrg5uaGhQsXIjw8vLm7RUSPYFaJxIFZJRIHZpVIHJjVpwcH1+mZ029CP/Sb0K+5u0FETWzDhg3N3QUi0gCzSiQOzCqRODCrROLArD49muyBpkRERERERERERERETysOrhMRERERERERERERaYmD60REREREREREREREWtLqnuuZmZkoKSlpqr7otdzcXABA8ffFuPTTpWbuDRHV58zBMwCe7f0VkRjUHleZVSL9xqwSiQOzSiQezCuROJSVlWlUTiIIgtBYoby8PPTu3Rs1NTVP3DExkxhIICgaXV1E1MwMDAygUCiauxtE1AhmlUgcmFUicWBWicSDeSUSB0NDQ+zbtw+9evWqt4xGv1w3NTVFTU0N0tLSIJPJdNZBMcnMzMT06dMRujQUDlKH5u4OEdWj+PtiZM3Jeqb3V0RiUHtcZVaJ9BuzSiQOzCqReDCvROJQUlKC0NBQmJqaNlhOq9vCyGQy+Pj4PFHHxKr2Uh0HqQOc5c7N3Bsiqk/tbZue5f0VkRjUHleZVSL9xqwSiQOzSiQezCvR04UPNCUiIiIiIiIiIiIi0hIH14mIiIiIiIiIiIiItMTBdSIiIiIiIiIiIiIiLXFwnZ56E+0m4vj2483dDQD61Reip8nu3bshkUhw7dq15u6KXvWFSN/oUz70qS9E+kaf8qFPfSHSN/qUD33qC5G+0ad86FNfnhY6GVwfO3YsJBIJEhISVKZv3boVEolEF03oXGxsLDp37gwLCwvY2toiMDAQBw8ebO5uPfPKDpUhsnUklo1cprM640ri4BHoobP6iJ4Gutxvu7q6IiUlRePy8fHxMDQ0xPz587VqpyEvvfQSKioqYGNjo7M6ifQBs0okDswqkTgwq0TiwKySmOjsl+tmZmaYN28eKisrdVUlAODu3bs6ra+WVCrFp59+iqKiIvzwww9wdXXFq6++iitXrjRJe6SZg2kH0Xtcb5zOO43rFdd1Uqe1gzWMTI10UhfR06Sp9tuNWbFiBaZMmYIVK1borE4TExM4Ojrq7Re6RE+CWSUSB2aVSByYVSJxYFZJLHQ2uB4YGAhHR0fEx8fXWyY2Nhbe3t4q01JSUuDq6qp8P3bsWAwZMgRz5sxB27Zt4e7uDgBYvHgxOnXqBDMzMzg4OGD48OHKZRQKBeLj49GhQweYm5tDLpdj48aNDfb3b3/7GwIDA+Hm5gZPT08kJyfjxo0bOH6ct+xoLndu3sHRrUfh964fPII8cCj9kHJe9bVqfPmPL/FRp48Q3TYas7vPxsG1D640uH/3PjZO2YgZshmIcorCzC4zsePjHcplH70VS9nBMiT6JyLKKQpJryTh+PbjmGg3EeeLzgMATv1wChPtJuKnPT8h6ZUkRD8XjZT+Kbh06pJKf4syi7AgYAGinKIwq+ssZM/LRs39GuX8K6evYOGghYhyikL8i/Eo3VXaJOuN6HFpst8GgE2bNsHT0xOmpqZwdXVFUlKScl5AQADOnTuHyMhISCSSRk8W9uzZg1u3biEuLg43btzA/v37VeYfO3YMffv2hZWVFaytrdGtWzfk5+cDAM6dO4fg4GDY2trCwsICnp6eyMzMBFD3pW3Lly+Hs7MzWrRogaFDhyI5ORktW7ZUzq89Jn355ZdwdXWFjY0NRo0ahaqqKmUZTY4vmZmZkEqlMDc3R9++fXH27NkG1wGRtphVZpXEgVllVkkcmFVmlcSBWWVWxUJng+uGhoaYO3cuFi1ahPPnzz9RXTt37kRpaSl27NiBjIwM5OfnY8KECYiLi0NpaSmys7Ph7++vLB8fH481a9ZgyZIlOHHiBCIjIxEaGoo9e/Zo1N7du3exbNky2NjYQC6XP1Hf6fEd3XoUbTq1gUMnB3Qf0R0H1x6EIAgAgMy5mbhYehHvbXgPUw9MxVsL3oJFKwsAwN6le/Fj1o8Ys2IM/nPoPwhbFga79nZ1tnH7xm0s/9tytPVoi6hdURg4bSC+nfltnWW3z96OwbMGY/LOyTAwMsC68euU807nncbaf66F/3v+mJo3FSOSR+BQ+iHsSHowqK9QKLDi7RUwMjFC5I5IjEgeUW87RM1Fk/12QUEBRowYgVGjRqGoqAixsbGYPn06Vq1aBQDYvHkz2rVrh7i4OFRUVKCioqLBNlNTUxESEgJjY2OEhIQgNTVVZf7o0aPRrl07HD58GAUFBZg6dSqMjY0BAO+//z7u3LmDvXv3oqioCPPmzYOlpWWd7eTm5iIiIgIffPABCgsLERQUhDlz5qiVO336NLZu3YqMjAxkZGRgz549KpceNnZ8+eWXX/Dmm28iODgYhYWFCA8Px9SpUxtcB0TaYlaZVRIHZpVZJXFgVplVEgdmlVkVC53eK2Po0KHw9vZGTEyM2gaoDQsLC3zxxRcwMTEB8CAMFhYWeP3112FlZQUXFxd07doVAHDnzh3MnTsX33//PXr16gUAcHNzww8//IClS5eiT58+9baTkZGBUaNGobq6Gk5OTtixYwdat2792P2mJ3Mw7SC6v9UdANC5X2fcunELP+f+jE4vd0Ll+Uo85/Uc2ndtDwBo1b6VcrnKC5Ww72gPtxfdIJFIYOdc98A6ABRsKoBEIsHIlJEwNjOGY2dHXK+4jvUT16uVHfTfQXje73kAQODEQCwbuQz3bt+DsZkxvkv8Dv0m9oNviC8AoLVra7z2n9ewLXYbBnw4AD/t/gmXTl1CxMYI2DjZKOtbOmKpblYWkY40tt9OTk5Gv379MH36dAAPbqlVXFyM+fPnY+zYsbCzs4OhoSGsrKzg6OjYYFs3btzAxo0bkZeXBwAIDQ1F79698cknnyhPOsrLyxEdHY3OnTsDADp16qRcvry8HMOGDYOXlxeAB/v6+ixatAgDBw5EVFSUst/79+9HRkaGSjmFQoFVq1bBysoKABAWFoadO3dizpw5Gh1fPv/8c3Ts2FH56wh3d3fliRSRLjGrzCqJA7PKrJI4MKvMKokDs8qsioHOfrlea968eVi9ejVKSkoeuw4vLy/lwDoABAUFwcXFBW5ubggLC8PatWtRXV0NAPj5559RXV2NoKAgWFpaKl9r1qzB6dOnG2ynb9++KCwsxP79+zFgwACMGDECly9ffux+0+O7dOoSzh05B59hPgAAQyNDdB3aFQfTHtz6xe8dPxzdchSJ/onYFrMNZQfLlMv6hvjiQtEFzPWdi01TN+Fkzsl627l86jLaeraFsZmxcppLN5c6y7b1bKv8t7WDNQDg5tWbAIALP17A/+b/D1Ocpyhf6yeux42LN3C3+i4u/XQJts/ZKgfWAcDV11XLtUL012hov11SUgI/Pz+VaX5+fjh16hRqamrUyjckPT0dHTt2VF4h5O3tDRcXF6xf//DLrUmTJiE8PByBgYFISEhQ2Y9PmDABs2fPhp+fH2JiYhq8jVdpaSl8fX1Vpj36HnjwcJvaExUAcHJyUh4HNDm+lJSUoGfPnip11p7YEOkas8qskjgwq8wqiQOzyqySODCrzKq+0/ngur+/P/r3749p06apN2ZgoLzNR6179+6plbOwsFB5b2VlhSNHjiA9PR1OTk6YMWMG5HI5rl27hps3Hwx2bt++HYWFhcpXcXFxo/ddt7CwwPPPP48XX3wRqampMDIyeqJf3NPjO5h2EIr7CsR4xGCS/SRMsp+E3BW5OPbtMdy6cQseQR6IORaDgH8G4PrF61g8dDG+mf4NAMBZ7owZR2dg4LSBuHfrHla9uworx6x84j4ZGP8pHv9/Wy6FQgEAuPvHXQyYOgDRe6KVryk/TMFH+R/ByIwPTyVxaWi/rUupqak4ceIEjIyMlK/i4mKVB8XExsbixIkTGDRoEHJycuDh4YEtW7YAAMLDw3HmzBmEhYWhqKgI3bt3x6JFi56oT7WX8NWSSCTKnD/J8YWoKTCrDzGrpM+Y1YeYVdJnzOpDzCrpM2b1IWZVPzXJKGBCQgK8vb2VDyOtZW9vj4sXL0IQBOVDBAoLCzWq08jICIGBgQgMDERMTAxatmyJnJwcBAUFwdTUFOXl5Q3eAkYTCoUCd+7ceaI6SHs192tweP1hDJ41GJ37dlaZlxqWiiObjsDvHT9YtraEb4gvfEN8kdsrF9tmbMPgWYMBAGbWZvB50wc+b/pA/oYcS99aij8q/4CFreoXNW06tUH+1/m4f+c+jEwfbP7lR8q17nO7Lu1w+dRl2LvZ1znfQeqAyguVuH7xOmwcH/x6/ezhs1q3Q/RXqW+/LZPJkJubqzItNzcXUqkUhoaGAB48+byxXwUUFRUhPz8fu3fvhp3dw1s3/f777wgICMDJkyeVl9ZJpVJIpVJERkYiJCQEK1euxNChQwEAzs7OiIiIQEREBKZNm4bly5dj/Pjxau25u7vj8OHDKtMefd8YDw+PRo8vMpkM27ZtU5l24MABrdoh0gazqo5ZJX3ErKpjVkkfMavqmFXSR8yqOmZVfzTJ4LqXlxdGjx6NhQsXqkwPCAjAlStXkJiYiOHDhyM7OxtZWVmwtrZusL6MjAycOXMG/v7+sLW1RWZmJhQKBdzd3WFlZYWoqChERkZCoVDg5ZdfxvXr15Gbmwtra2uMGTNGrb4//vgDc+bMwRtvvAEnJydcvXoVn332GS5cuIC33npLp+uCGnfiuxOovlaNF8NehLm1ucq8LsFdcCDtAK5XXIeztzMcOzvi/p37KP6uGA5SBwDArs92wdrRGu282kFiIMGxb47B2sEa5jbmam11G9YN22dvx/rI9ej3QT9Unq9Ezqc5ANDoU6P/7NXoV7E8ZDls29lC/oYcEgMJfv3xV1ScrMCgjwZBGiBFm45t8NW/vsIbcW/gdtVtZM7JfIK1RNS06ttvT548GT169MCsWbMwcuRI5OXl4dNPP8XixYuVZVxdXbF3716MGjUKpqamdT67IjU1Fb6+vioPo67Vo0cPpKamIi4uDtHR0Rg+fDg6dOiA8+fP4/Dhwxg2bBgAYOLEiRg4cCCkUikqKyuxa9cuyGSyOj/P+PHj4e/vj+TkZAQHByMnJwdZWVla5VyT40tERASSkpIQHR2N8PBwFBQUKB+eQ9QUmFV1zCrpI2ZVHbNK+ohZVceskj5iVtUxq/pD57eFqRUXF6e8VKGWTCbD4sWL8dlnn0Eul+PQoUPKm/c3pGXLlti8eTNeeeUVyGQyLFmyBOnp6fD09AQAzJo1C9OnT0d8fDxkMhkGDBiA7du3o0OHDnXWZ2hoiJMnT2LYsGGQSqUIDg7Gb7/9hn379inrpL/OwbSDcO/jrjawDgDyYDl+OfoLDIwMkBGXgcTeiVj0+iJIDCUYk/rgixMzSzPkLMxBUr8kJPdLxu+//I5/rP8HDAzUN28zazOM+2ocLhRdwPw+85E5JxP9p/QHAOUv2TUh6yfDuPRxKN1ViuTAZKS8moLdn++GXbsH33AaGBjg3S/fxb3b95AcmIx1H6zDax+99jirh+gvU9d+28fHBxs2bMC6devwwgsvYMaMGYiLi8PYsWNVljt79iw6duwIe3v1qznu3r2LtLQ05UnHo4YNG4Y1a9bAwMAAv/32G95++21IpVKMGDECAwcOxMyZMwEANTU1eP/995X7ealUqnLS9Gd+fn5YsmQJkpOTIZfLkZ2djcjISJiZmWm1Tho7vrRv3x6bNm3C1q1bIZfLsWTJEsydO1erNoi0xayqY1ZJHzGr6phV0kfMqjpmlfQRs6qOWdUPEuHRm6DX4ciRI+jWrRsKCgrg4+PzV/RL76xduxahoaGYvGsynOXOzd0d0qH8r/OR/u90xJ+Nh4m5SeMLkF7L/zofae+lPdP7K6rbuHHjcPLkSezbt6+5u0J4eFxlVulRzKp+YVapPsyqfmFWqT7Mqv5hXqkuzKr+0XQ8nE9epGfOoXWH0Nq1NWycbHDhxwv4NvZbeA/x5sA60VNmwYIFCAoKgoWFBbKysrB69ep6fzlARM2HWSUSB2aVSByYVSJxYFafHhxcp2dO1eUqZMVnoepyFawdrOE92BuD/juoubtFRDp26NAhJCYmoqqqCm5ubli4cCHCw8Obu1tE9AhmlUgcmFUicWBWicSBWX16cHCdnjn9JvRDvwn9mrsbRNTENmzY0NxdICINMKtE4sCsEokDs0okDszq06PJHmhKRERERERERERERPS04uA6EREREREREREREZGWOLhORERERERERERERKQlDq4TEREREREREREREWlJqweaZmZmoqSkpKn6otdyc3MBAMXfF+PST5eauTdEVJ8zB88AeLb3V0RiUHtcZVaJ9BuzSiQOzCqReDCvROJQVlamUTmJIAhCY4Xy8vLQu3dv1NTUPHHHxMzAwAAKhaK5u0FEjWBWicSBWSUSB2aVSByYVSLxYF6JxMHQ0BD79u1Dr1696i2j0S/XTU1NUVNTg7S0NMhkMp11UEwyMzMxffr0Z3odEIkBs0okDswqkTgwq0TiwKwSiQfzSiQOJSUlCA0NhampaYPltLotjEwmg4+PzxN1TKxqL9V5ltcBkRgwq0TiwKwSiQOzSiQOzCqReDCvRE8XPtCUiIiIiIiIiIiIiEhLHFwnIiIiIiIiIiIiItISB9eJ6rF7925IJBJcu3atubuiV30h0kf6lBF96guRvtGnfOhTX4j0jT7lQ5/6QqRv9Ckf+tQXIn2jT/nQp748LXQyuD527FhIJBIkJCSoTN+6dSskEokummhSERERkEgkSElJae6uiJoutwNXV1et/j/i4+NhaGiI+fPna9VOQ1566SVUVFTAxsZGZ3US6QvmlUgcmFUicWBWicSBWSUSB2aVxERnv1w3MzPDvHnzUFlZqasqAQB3797VaX2P2rJlCw4cOIC2bds2aTvPiqbaDhqzYsUKTJkyBStWrNBZnSYmJnB0dBTFF0REj4N5JRIHZpVIHJhVInFgVonEgVklsdDZ4HpgYCAcHR0RHx9fb5nY2Fh4e3urTEtJSYGrq6vy/dixYzFkyBDMmTMHbdu2hbu7OwBg8eLF6NSpE8zMzODg4IDhw4crl1EoFIiPj0eHDh1gbm4OuVyOjRs3NtrnCxcuYPz48Vi7di2MjY21+8BUJ022AwDYtGkTPD09YWpqCldXVyQlJSnnBQQE4Ny5c4iMjIREIml057Nnzx7cunULcXFxuHHjBvbv368y/9ixY+jbty+srKxgbW2Nbt26IT8/HwBw7tw5BAcHw9bWFhYWFvD09ERmZiaAui+VWb58OZydndGiRQsMHToUycnJaNmypXJ+7Tb+5ZdfwtXVFTY2Nhg1ahSqqqqUZTTZXjMzMyGVSmFubo6+ffvi7NmzDa4DosfBvDKvJA7MKrNK4sCsMqskDswqs0riwKwyq2Khs8F1Q0NDzJ07F4sWLcL58+efqK6dO3eitLQUO3bsQEZGBvLz8zFhwgTExcWhtLQU2dnZ8Pf3V5aPj4/HmjVrsGTJEpw4cQKRkZEIDQ3Fnj176m1DoVAgLCwM0dHR8PT0fKL+0kOabAcFBQUYMWIERo0ahaKiIsTGxmL69OlYtWoVAGDz5s1o164d4uLiUFFRgYqKigbbTE1NRUhICIyNjRESEoLU1FSV+aNHj0a7du1w+PBhFBQUYOrUqcovU95//33cuXMHe/fuRVFREebNmwdLS8s628nNzUVERAQ++OADFBYWIigoCHPmzFErd/r0aWzduhUZGRnIyMjAnj17VC5lamx7/eWXX/Dmm28iODgYhYWFCA8Px9SpUxtcB0SPg3llXkkcmFVmlcSBWWVWSRyYVWaVxIFZZVZFQ9BAQUGBAEAoKCioc/6YMWOEwYMHC4IgCC+++KLw7rvvCoIgCFu2bBH+3ERMTIwgl8tVlv34448FFxcXlbocHByEO3fuKKdt2rRJsLa2Fm7cuKHW9u3bt4UWLVoI+/fvV5n+97//XQgJCan3M82dO1cICgoSFAqFIAiC4OLiInz88cf1lk9LS2twHZDm28Hf/vY3ISgoSGXZ6OhowcPDQ/m+sf+PWtevXxfMzc2FwsJCQRAE4ejRo4KlpaVQVVWlLGNlZSWsWrWqzuW9vLyE2NjYOuft2rVLACBUVlYKgiAII0eOFAYNGqRSZvTo0YKNjY3yfUxMjNCiRQuVbTU6Olro2bOnIAiaba/Tpk1TWReCIAgffvihSl+ofsyqZphX5rW5MauaYVaZ1ebGrGqGWWVWmxuzqhlmlVnVB8xr45hVZlUfNDYeXktnv1yvNW/ePKxevRolJSWPXYeXlxdMTEyU74OCguDi4gI3NzeEhYVh7dq1qK6uBgD8/PPPqK6uRlBQECwtLZWvNWvW4PTp03XWX1BQgE8++QSrVq3i/Y6aSEPbQUlJCfz8/FSm+fn54dSpU6ipqdGqnfT0dHTs2BFyuRwA4O3tDRcXF6xfv15ZZtKkSQgPD0dgYCASEhJUtosJEyZg9uzZ8PPzQ0xMDI4fP15vW6WlpfD19VWZ9uh74MHDMqysrJTvnZyccPnyZQCaba8lJSXo2bOnSp29evXSdJUQaY15ZV5JHJhVZpXEgVllVkkcmFVmlcSBWWVW9Z3OB9f9/f3Rv39/TJs2Tb0xAwMIgqAy7d69e2rlLCwsVN5bWVnhyJEjSE9Ph5OTE2bMmAG5XI5r167h5s2bAIDt27ejsLBQ+SouLq73vuv79u3D5cuX0b59exgZGcHIyAjnzp3D5MmTVe7/To+voe1Al1JTU3HixAnl/6ORkRGKi4tVHjwRGxuLEydOYNCgQcjJyYGHhwe2bNkCAAgPD8eZM2cQFhaGoqIidO/eHYsWLXqiPj16/36JRAKFQgEAj7W9EjU15vUh5pX0GbP6ELNK+oxZfYhZJX3GrD7ErJI+Y1YfYlb1k1FTVJqQkABvb2/lw0hr2dvb4+LFixAEQfmL8cLCQo3qNDIyQmBgIAIDAxETE4OWLVsiJycHQUFBMDU1RXl5Ofr06aNRXWFhYQgMDFSZ1r9/f4SFheGdd97RqA5qXH3bgUwmQ25ursq03NxcSKVSGBoaAnjwJOXGvmUsKipCfn4+du/eDTs7O+X033//HQEBATh58iQ6d+4MAJBKpZBKpYiMjERISAhWrlyJoUOHAgCcnZ0RERGBiIgITJs2DcuXL8f48ePV2nN3d8fhw4dVpj36vjEeHh6Nbq8ymQzbtm1TmXbgwAGt2iHSFvOqjnklfcSsqmNWSR8xq+qYVdJHzKo6ZpX0EbOqjlnVH00yuO7l5YXRo0dj4cKFKtMDAgJw5coVJCYmYvjw4cjOzkZWVhasra0brC8jIwNnzpyBv78/bG1tkZmZCYVCAXd3d1hZWSEqKgqRkZFQKBR4+eWXcf36deTm5sLa2hpjxoxRq69Vq1Zo1aqVyjRjY2M4OjqqBZUeX33bweTJk9GjRw/MmjULI0eORF5eHj799FMsXrxYWcbV1RV79+7FqFGjYGpqitatW6vVn5qaCl9fX5WH29bq0aMHUlNTERcXh+joaAwfPhwdOnTA+fPncfjwYQwbNgwAMHHiRAwcOBBSqRSVlZXYtWsXZDJZnZ9n/Pjx8Pf3R3JyMoKDg5GTk4OsrCytbi2kyfYaERGBpKQkREdHIzw8HAUFBcqHcRA1FeZVHfNK+ohZVceskj5iVtUxq6SPmFV1zCrpI2ZVHbOqR3RxA/c/P2igVllZmWBiYiI82sTnn38uODs7CxYWFsLbb78tzJkzR+2Bpo/WtW/fPqFPnz6Cra2tYG5uLnTp0kVYv369cr5CoRBSUlIEd3d3wdjYWLC3txf69+8v7NmzR5OPJwgCH2iqC9psBxs3bhQ8PDwEY2NjoX379sL8+fNV5ufl5QldunQRTE1N1ZYVBEG4c+eO0KpVKyExMbHOvsybN09o06aNcPv2bWHUqFGCs7OzYGJiIrRt21b497//Ldy6dUsQBEH497//LXTs2FEwNTUV7O3thbCwMOHq1auCIKg/cEIQBGHZsmXCc889J5ibmwtDhgwRZs+eLTg6Oirna/LQXk2212+//VZ4/vnnBVNTU6F3797CihUr+MAJDTGrmmFemdfmxqxqhlllVpsbs6oZZpVZbW7MqmaYVWZVHzCvjWNWmVV9oOkDTSWC8MhN0Otw5MgRdOvWDQUFBfDx8dHBkL74rF27FqGhoc/0OiB148aNw8mTJ7Fv377m7gr9P2aV6sO86hdmlerDrOoXZpXqw6zqF2aV6sOs6h/mlerCrOofTcfDm+S2MERPqwULFiAoKAgWFhbIysrC6tWrVS43IiL9wbwSiQOzSiQOzCqRODCrROLArD49OLhOpIVDhw4hMTERVVVVcHNzw8KFCxEeHt7c3SKiOjCvROLArBKJA7NKJA7MKpE4MKtPDw6uE2lhw4YNzd0FItIQ80okDswqkTgwq0TiwKwSiQOz+vQwaO4OEBERERERERERERGJDQfXiYiIiIiIiIiIiIi0xMF1IiIiIiIiIiIiIiItcXCdiIiIiIiIiIiIiEhLWj3QNDMzEyUlJU3VF72Wm5sL4NleB0RiwKwSiQOzSiQOzCqRODCrROLBvBKJQ1lZmUblJIIgCI0VysvLQ+/evVFTU/PEHRMzAwMDKBSK5u4GETWCWSUSB2aVSByYVSJxYFaJxIN5JRIHQ0ND7Nu3D7169aq3jEa/XDc1NUVNTQ3S0tIgk8l01kExyczMxPTp05/pdUAkBswqkTgwq0TiwKwSiQOzSiQezCuROJSUlCA0NBSmpqYNltPqtjAymQw+Pj5P1DGxqr1U51leB0RiwKwSiQOzSiQOzCqRODCrROLBvBI9XfhAUyIiIiIiIiIiIiIiLXFwnYiIiIiIiIiIiIhISxxcJyIiIiIiIiIiIiLSEgfXieqxe/duSCQSXLt2rbm7old9IdJH+pQRfeoLkb7Rp3zoU1+I9I0+5UOf+kKkb/QpH/rUFyJ9o0/50Ke+PC10Mrg+duxYSCQSJCQkqEzfunUrJBKJLprQudo+//k1YMCA5u6WqOlyO3B1dUVKSorG5ePj42FoaIj58+dr1U5DXnrpJVRUVMDGxkZndRLpC+aVSByYVSJxYFaJxIFZJRIHZpXERGe/XDczM8O8efNQWVmpqyoBAHfv3tVpfX82YMAAVFRUKF/p6elN1tazoqm2g8asWLECU6ZMwYoVK3RWp4mJCRwdHfX2CyKiJ8W8EokDs0okDswqkTgwq0TiwKySWOhscD0wMBCOjo6Ij4+vt0xsbCy8vb1VpqWkpMDV1VX5fuzYsRgyZAjmzJmDtm3bwt3dHQCwePFidOrUCWZmZnBwcMDw4cOVyygUCsTHx6NDhw4wNzeHXC7Hxo0bG+2zqakpHB0dlS9bW1vtPjSp0WQ7AIBNmzbB09MTpqamcHV1RVJSknJeQEAAzp07h8jISOVVBQ3Zs2cPbt26hbi4ONy4cQP79+9XmX/s2DH07dsXVlZWsLa2Rrdu3ZCfnw8AOHfuHIKDg2FrawsLCwt4enoiMzMTQN2XyixfvhzOzs5o0aIFhg4diuTkZLRs2VI5v3Yb//LLL+Hq6gobGxuMGjUKVVVVyjKabK+ZmZmQSqUwNzdH3759cfbs2QbXAdHjYF6ZVxIHZpVZJXFgVplVEgdmlVklcWBWmVXREDRQUFAgABAKCgrqnD9mzBhh8ODBwubNmwUzMzPhl19+EQRBELZs2SL8uYmYmBhBLperLPvxxx8LLi4uKnVZWloKYWFhwo8//ij8+OOPwuHDhwVDQ0Phq6++Es6ePSscOXJE+OSTT5TLzJ49W+jcubOQnZ0tnD59Wli5cqVgamoq7N69u97PNGbMGMHGxkawt7cXpFKpEBERIVy9erXe8mlpaQ2uA9J8O8jPzxcMDAyEuLg4obS0VFi5cqVgbm4urFy5UhAEQfjtt9+Edu3aCXFxcUJFRYVQUVHRYLthYWFCVFSUIAiCMHnyZOHdd99Vme/p6SmEhoYKJSUlwk8//SRs2LBBKCwsFARBEAYNGiQEBQUJx48fF06fPi18++23wp49ewRBEIRdu3YJAITKykpBEAThhx9+EAwMDIT58+cLpaWlwmeffSbY2dkJNjY2yrZiYmIES0tL4c033xSKioqEvXv3Co6OjsJ//vMfZZnGttfy8nLB1NRUmDRpknDy5EkhLS1NcHBwUOkL1Y9Z1Qzzyrw2N2ZVM8wqs9rcmFXNMKvManNjVjXDrDKr+oB5bRyzyqzqg8bGw2vpdHBdEAThxRdfVG58jzu47uDgINy5c0c5bdOmTYK1tbVw48YNtbZv374ttGjRQti/f7/K9L///e9CSEhIvZ8pPT1d+Oabb4Tjx48LW7ZsEWQymdCjRw/h/v37dZbnzq9xmm4Hf/vb34SgoCCVZaOjowUPDw/lexcXF+Hjjz9utM3r168L5ubmyp3Z0aNHBUtLS6GqqkpZxsrKSli1alWdy3t5eQmxsbF1znt05zdy5Ehh0KBBKmVGjx6ttvNr0aKFyrYaHR0t9OzZUxAEzbbXadOmqawLQRCEDz/8kDs/DTGrmmFemdfmxqxqhlllVpsbs6oZZpVZbW7MqmaYVWZVHzCvjWNWmVV9oOngus5uC1Nr3rx5WL16NUpKSh67Di8vL5iYmCjfBwUFwcXFBW5ubggLC8PatWtRXV0NAPj5559RXV2NoKAgWFpaKl9r1qzB6dOn621j1KhReOONN+Dl5YUhQ4YgIyMDhw8fxu7dux+73/RQQ9tBSUkJ/Pz8VKb5+fnh1KlTqKmp0aqd9PR0dOzYEXK5HADg7e0NFxcXrF+/Xllm0qRJCA8PR2BgIBISElS2iwkTJmD27Nnw8/NDTEwMjh8/Xm9bpaWl8PX1VZn26HvgwcMyrKyslO+dnJxw+fJlAJptryUlJejZs6dKnb169dJ0lRBpjXllXkkcmFVmlcSBWWVWSRyYVWaVxIFZZVb1nc4H1/39/dG/f39MmzZNvTEDAwiCoDLt3r17auUsLCxU3ltZWeHIkSNIT0+Hk5MTZsyYAblcjmvXruHmzZsAgO3bt6OwsFD5Ki4u1ui+67Xc3NzQunVr/PzzzxovQ/VraDvQpdTUVJw4cQJGRkbKV3FxscqDJ2JjY3HixAkMGjQIOTk58PDwwJYtWwAA4eHhOHPmDMLCwlBUVITu3btj0aJFT9QnY2NjlfcSiQQKhQIAdLa9EukS8/oQ80r6jFl9iFklfcasPsSskj5jVh9iVkmfMasPMav6yagpKk1ISIC3t7fyYaS17O3tcfHiRQiCoHyIQGFhoUZ1GhkZITAwEIGBgYiJiUHLli2Rk5ODoKAgmJqaory8HH369HnsPp8/fx6//fYbnJycHrsOUlXfdiCTyZCbm6syLTc3F1KpFIaGhgAePEm5sW8Zi4qKkJ+fj927d8POzk45/ffff0dAQABOnjyJzp07AwCkUimkUikiIyMREhKClStXYujQoQAAZ2dnREREICIiAtOmTcPy5csxfvx4tfbc3d1x+PBhlWmPvm+Mh4dHo9urTCbDtm3bVKYdOHBAq3aItMW8qmNeSR8xq+qYVdJHzKo6ZpX0EbOqjlklfcSsqmNW9UeTDK57eXlh9OjRWLhwocr0gIAAXLlyBYmJiRg+fDiys7ORlZUFa2vrBuvLyMjAmTNn4O/vD1tbW2RmZkKhUMDd3R1WVlaIiopCZGQkFAoFXn75ZVy/fh25ubmwtrbGmDFj1Oq7efMmZs6ciWHDhsHR0RGnT5/GlClT8Pzzz6N///46XRfPsvq2g8mTJ6NHjx6YNWsWRo4ciby8PHz66adYvHixsoyrqyv27t2LUaNGwdTUFK1bt1arPzU1Fb6+vvD391eb16NHD6SmpiIuLg7R0dEYPnw4OnTogPPnz+Pw4cMYNmwYAGDixIkYOHAgpFIpKisrsWvXLshksjo/z/jx4+Hv74/k5GQEBwcjJycHWVlZjT5t+s802V4jIiKQlJSE6OhohIeHo6CgAKtWrdK4DaLHwbyqY15JHzGr6phV0kfMqjpmlfQRs6qOWSV9xKyqY1b1iC5u4P7nBw3UKisrE0xMTIRHm/j8888FZ2dnwcLCQnj77beFOXPmqD3Q9NG69u3bJ/Tp00ewtbUVzM3NhS5dugjr169XzlcoFEJKSorg7u4uGBsbC/b29kL//v2VT+V9VHV1tfDqq68K9vb2grGxseDi4iKMGzdOuHjxYr3rgA+caJw228HGjRsFDw8PwdjYWGjfvr0wf/58lfl5eXlCly5dBFNTU7VlBUEQ7ty5I7Rq1UpITEyssy/z5s0T2rRpI9y+fVsYNWqU4OzsLJiYmAht27YV/v3vfwu3bt0SBEEQ/v3vfwsdO3YUTE1NBXt7eyEsLEy4evWqIAjqD5wQBEFYtmyZ8Nxzzwnm5ubCkCFDhNmzZwuOjo7K+Zo8tFeT7fXbb78Vnn/+ecHU1FTo3bu3sGLFCj5wQkPMqmaYV+a1uTGrmmFWmdXmxqxqhlllVpsbs6oZZpVZ1QfMa+OYVWZVH2j6QFOJIDxyE/Q6HDlyBN26dUNBQQF8fHx0MKQvPmvXrkVoaOgzvQ5I3bhx43Dy5Ens27evubtC/49Zpfowr/qFWaX6MKv6hVml+jCr+oVZpfowq/qHeaW6MKv6R9Px8Ca5LQzR02rBggUICgqChYUFsrKysHr1apXLjYhIfzCvROLArBKJA7NKJA7MKpE4MKtPDw6uE2nh0KFDSExMRFVVFdzc3LBw4UKEh4c3d7eIqA7MK5E4MKtE4sCsEokDs0okDszq04OD60Ra2LBhQ3N3gYg0xLwSiQOzSiQOzCqRODCrROLArD49DJq7A0REREREREREREREYsPBdSIiIiIiIiIiIiIiLXFwnYiIiIiIiIiIiIhISxxcJyIiIiIiIiIiIiLSklYPNM3MzERJSUlT9UWv5ebmAni21wGRGDCrROLArBKJA7NKJA7MKpF4MK9E4lBWVqZROYkgCEJjhfLy8tC7d2/U1NQ8ccfEzMDAAAqForm7QUSNkBhIICga3bURUTNjVonEgefAROLArBKJB/NKJA6GhobYt28fevXqVW8ZjX65bmpqipqaGqSlpUEmk+msg2KSmZmJ6dOnP9PrgEgMarMaujQUDlKH5u4OEdWj+PtiZM3JYlaJ9FxtVnkOTKTf+PcqkXgwr0TiUFJSgtDQUJiamjZYTqvbwshkMvj4+DxRx8Sq9lKdZ3kdEIlBbVYdpA5wljs3c2+IqD6XfroEgFkl0ne1WeU5MJF+49+rROLBvBI9XfhAUyIiIiIiIiIiIiIiLXFwnYiIiIiIiIiIiIhISxxcJ6rH7t27IZFIcO3atebuil71haipTLSbiOPbjzd3NwDoV1+I9I0+5UOf+kL0NNGnc0996guRvtGnfOhTX4j0jT7lQ5/68rTQyeD62LFjIZFIkJCQoDJ969atkEgkumiiSZSUlOCNN96AjY0NLCws0KNHD5SXlzd3t0RLl9uBq6srUlJSNC4fHx8PQ0NDzJ8/X6t2GvLSSy+hoqICNjY2OquT6GlRdqgMka0jsWzkMp3VGVcSB49AD53VR0TMKtFfhefBROLArBKJA7NKYqKzX66bmZlh3rx5qKys1FWVAIC7d+/qtL5ap0+fxssvv4zOnTtj9+7dOH78OKZPnw4zM7Mmae9Z0VTbQWNWrFiBKVOmYMWKFTqr08TEBI6Ojnr9BRFRczmYdhC9x/XG6bzTuF5xXSd1WjtYw8hUq+dsE1EjmFWivw7Pg4nEgVklEgdmlcRCZ4PrgYGBcHR0RHx8fL1lYmNj4e3trTItJSUFrq6uyvdjx47FkCFDMGfOHLRt2xbu7u4AgMWLF6NTp04wMzODg4MDhg8frlxGoVAgPj4eHTp0gLm5OeRyOTZu3Nhgfz/66CO89tprSExMRNeuXdGxY0e88cYbaNOmjfYfnpQ02Q4AYNOmTfD09ISpqSlcXV2RlJSknBcQEIBz584hMjISEomk0Z3Pnj17cOvWLcTFxeHGjRvYv3+/yvxjx46hb9++sLKygrW1Nbp164b8/HwAwLlz5xAcHAxbW1tYWFjA09MTmZmZAOq+VGb58uVwdnZGixYtMHToUCQnJ6Nly5bK+bXb+JdffglXV1fY2Nhg1KhRqKqqUpbRZHvNzMyEVCqFubk5+vbti7Nnzza4Doj+Sndu3sHRrUfh964fPII8cCj9kHJe9bVqfPmPL/FRp48Q3TYas7vPxsG1BwEA9+/ex8YpGzFDNgNRTlGY2WUmdny8Q7nso7d3KDtYhkT/REQ5RSHplSQc334cE+0m4nzReQDAqR9OYaLdRPy05yckvZKE6OeikdI/BZdOXVLpb1FmERYELECUUxRmdZ2F7HnZqLlfo5x/5fQVLBy0EFFOUYh/MR6lu0qbZL0R/dWYVaK/Fs+DeR5M4sCsMqskDswqsyoWOhtcNzQ0xNy5c7Fo0SKcP3/+ierauXMnSktLsWPHDmRkZCA/Px8TJkxAXFwcSktLkZ2dDX9/f2X5+Ph4rFmzBkuWLMGJEycQGRmJ0NBQ7Nmzp876FQoFtm/fDqlUiv79+6NNmzbo2bMntm7d+kT9Js22g4KCAowYMQKjRo1CUVERYmNjMX36dKxatQoAsHnzZrRr1w5xcXGoqKhARUVFg22mpqYiJCQExsbGCAkJQWpqqsr80aNHo127djh8+DAKCgowdepUGBsbAwDef/993LlzB3v37kVRURHmzZsHS0vLOtvJzc1FREQEPvjgAxQWFiIoKAhz5sxRK3f69Gls3boVGRkZyMjIwJ49e1QuZWpse/3ll1/w5ptvIjg4GIWFhQgPD8fUqVMbXAdEf6WjW4+iTac2cOjkgO4juuPg2oMQBAEAkDk3ExdLL+K9De9h6oGpeGvBW7BoZQEA2Lt0L37M+hFjVozBfw79B2HLwmDX3q7ONm7fuI3lf1uOth5tEbUrCgOnDcS3M7+ts+z22dsxeNZgTN45GQZGBlg3fp1y3um801j7z7Xwf88fU/OmYkTyCBxKP4QdSQ8GChUKBVa8vQJGJkaI3BGJEckj6m2HSGyYVaK/Fs+DeR5M4sCsMqskDswqsyoWOr2md+jQofD29kZMTIzaBqgNCwsLfPHFFzAxMQHwIAwWFhZ4/fXXYWVlBRcXF3Tt2hUAcOfOHcydOxfff/89evXqBQBwc3PDDz/8gKVLl6JPnz5q9V++fBk3b95EQkICZs+ejXnz5iE7Oxtvvvkmdu3aVecypLnGtoPk5GT069cP06dPBwBIpVIUFxdj/vz5GDt2LOzs7GBoaAgrKys4Ojo22NaNGzewceNG5OXlAQBCQ0PRu3dvfPLJJ8qdWHl5OaKjo9G5c2cAQKdOnZTLl5eXY9iwYfDy8gLwYNupz6JFizBw4EBERUUp+71//35kZGSolFMoFFi1ahWsrKwAAGFhYdi5cyfmzJmj0fb6+eefo2PHjspvW93d3ZU7ZiJ9cDDtILq/1R0A0LlfZ9y6cQs/5/6MTi93QuX5Sjzn9Rzad20PAGjVvpVyucoLlbDvaA+3F90gkUhg51z3YB0AFGwqgEQiwciUkTA2M4ZjZ0dcr7iO9RPXq5Ud9N9BeN7veQBA4MRALBu5DPdu34OxmTG+S/wO/Sb2g2+ILwCgtWtrvPaf17AtdhsGfDgAP+3+CZdOXULExgjYONko61s6YqluVhZRM2JWif56PA/meTCJA7PKrJI4MKvMqhjo7JfrtebNm4fVq1ejpKTksevw8vJSDqwDQFBQEFxcXODm5oawsDCsXbsW1dXVAICff/4Z1dXVCAoKgqWlpfK1Zs0anD59us76FQoFAGDw4MGIjIyEt7c3pk6ditdffx1Llix57H7TQw1tByUlJfDz81OZ5ufnh1OnTqGmpkatfEPS09PRsWNHyOVyAIC3tzdcXFywfv3DP+onTZqE8PBwBAYGIiEhQWW7mDBhAmbPng0/Pz/ExMTg+PHjam3UKi0tha+vr8q0R98DDx6WUbvjAwAnJydcvnwZgGbba0lJCXr27KlSZ+2Okqi5XTp1CeeOnIPPMB8AgKGRIboO7YqDaQ9uJ+H3jh+ObjmKRP9EbIvZhrKDZcplfUN8caHoAub6zsWmqZtwMudkve1cPnUZbT3bwtjMWDnNpZtLnWXberZV/tvawRoAcPPqTQDAhR8v4H/z/4cpzlOUr/UT1+PGxRu4W30Xl366BNvnbJWDdQDg6uuq5Voh0j/MKlHz4Xkwz4NJHJhVZpXEgVllVvWdzgfX/f390b9/f0ybNk29MQMD5eXIte7du6dWzsLCQuW9lZUVjhw5gvT0dDg5OWHGjBmQy+W4du0abt588EfZ9u3bUVhYqHwVFxfXe9/11q1bw8jICB4eHirTZTIZysvLtfq8VLeGtgNdSk1NxYkTJ2BkZKR8FRcXqzx4IjY2FidOnMCgQYOQk5MDDw8PbNmyBQAQHh6OM2fOICwsDEVFRejevTsWLVr0RH2qvSSolkQiUX6h8zjbK5E+OZh2EIr7CsR4xGCS/SRMsp+E3BW5OPbtMdy6cQseQR6IORaDgH8G4PrF61g8dDG+mf4NAMBZ7owZR2dg4LSBuHfrHla9uworx6x84j4ZGP/pUPb/t9CrzdzdP+5iwNQBiN4TrXxN+WEKPsr/CEZmfCAjPb2YVaLmw/Pgh3geTPqMWX2IWSV9xqw+xKzqpyb5ayUhIQHe3t7Kh5HWsre3x8WLFyEIgvIhAoWFhRrVaWRkhMDAQAQGBiImJgYtW7ZETk4OgoKCYGpqivLyco1v52JiYoIePXqgtFT1QVg//fQTXFzq/rUVaa++7UAmkyE3N1dlWm5uLqRSKQwNDQE8+D9q7FvGoqIi5OfnY/fu3bCze3jJ+u+//46AgACcPHlSeamOVCqFVCpFZGQkQkJCsHLlSgwdOhQA4OzsjIiICERERGDatGlYvnw5xo8fr9aeu7s7Dh8+rDLt0feN8fDwaHR7lclk2LZtm8q0AwcOaNUOUVOouV+Dw+sPY/Cswejct7PKvNSwVBzZdAR+7/jBsrUlfEN84Rvii9xeudg2YxsGzxoMADCzNoPPmz7wedMH8jfkWPrWUvxR+QcsbFW/VG3TqQ3yv87H/Tv3YWT64FBVfkT7Lz/bdWmHy6cuw97Nvs75DlIHVF6oxPWL12Hj+OAXsWcPn9W6HSJ9wqwSNT+eB6vjeTDpI2ZVHbNK+ohZVces6o8mGVz38vLC6NGjsXDhQpXpAQEBuHLlChITEzF8+HBkZ2cjKysL1tbWDdaXkZGBM2fOwN/fH7a2tsjMzIRCoYC7uzusrKwQFRWFyMhIKBQKvPzyy7h+/Tpyc3NhbW2NMWPG1FlndHQ0Ro4cCX9/f/Tt2xfZ2dn49ttvsXv3bl2thmdefdvB5MmT0aNHD8yaNQsjR45EXl4ePv30UyxevFhZxtXVFXv37sWoUaNgamqK1q1bq9WfmpoKX19flYfb1urRowdSU1MRFxeH6OhoDB8+HB06dMD58+dx+PBhDBs2DAAwceJEDBw4EFKpFJWVldi1axdkMlmdn2f8+PHw9/dHcnIygoODkZOTg6ysrEafNv1nmmyvERERSEpKQnR0NMLDw1FQUKB8GAdRczrx3QlUX6vGi2EvwtzaXGVel+AuOJB2ANcrrsPZ2xmOnR1x/859FH9XDAepAwBg12e7YO1ojXZe7SAxkODYN8dg7WANcxtztba6DeuG7bO3Y33kevT7oB8qz1ci59McANAqc69Gv4rlIcth284W8jfkkBhI8OuPv6LiZAUGfTQI0gAp2nRsg6/+9RXeiHsDt6tuI3NO5hOsJaLmx6wSNT+eB6vjeTDpI2ZVHbNK+ohZVces6g+d3xamVlxcnPJShVoymQyLFy/GZ599BrlcjkOHDilv3t+Qli1bYvPmzXjllVcgk8mwZMkSpKenw9PTEwAwa9YsTJ8+HfHx8ZDJZBgwYAC2b9+ODh061Fvn0KFDsWTJEiQmJsLLywtffPEFNm3ahJdffvnJPjipqGs78PHxwYYNG7Bu3Tq88MILmDFjBuLi4jB27FiV5c6ePYuOHTvC3l79V2x3795FWlqacif2qGHDhmHNmjUwMDDAb7/9hrfffhtSqRQjRozAwIEDMXPmTABATU0N3n//feV2I5VKVXbCf+bn54clS5YgOTkZcrkc2dnZiIyMhJmZmVbrpLHttX379ti0aRO2bt0KuVyOJUuWYO7cuVq1QdQUDqYdhHsfd7XBOgCQB8vxy9FfYGBkgIy4DCT2TsSi1xdBYijBmNQHX3KaWZohZ2EOkvolIblfMn7/5Xf8Y/0/YGCgfigyszbDuK/G4ULRBczvMx+ZczLRf0p/AFD+OlYTsn4yjEsfh9JdpUgOTEbKqynY/flu2LV78GsEAwMDvPvlu7h3+x6SA5Ox7oN1eO2j1x5n9RDpDWaVSD/wPFgdz4NJHzGr6phV0kfMqjpmVT9IhEdvgl6HI0eOoFu3bigoKICPj89f0S+9s3btWoSGhj7T64DUjRs3DidPnsS+ffuauyv0/2qzOnnXZDjLnZu7O6RD+V/nI/3f6Yg/Gw8Tc5PGFyC9lv91PtLeS2NWn0LM6tOlNqs8B6ZH8TxYv/DvVaoPs6p/mFeqC7OqfzQdD+cTooi0sGDBAgQFBcHCwgJZWVlYvXp1vd9EEtGTObTuEFq7toaNkw0u/HgB38Z+C+8h3hysI9IzzCrRs4HnwUTiwKwSiQOz+vTg4DqRFg4dOoTExERUVVXBzc0NCxcuRHh4eHN3i+ipVHW5ClnxWai6XAVrB2t4D/bGoP8Oau5uEdEjmFWiZwPPg4nEgVklEgdm9enBwXUiLWzYsKG5u0D0zOg3oR/6TejX3N0gokYwq0TPBp4HE4kDs0okDszq06PJHmhKRERERERERERERPS04uA6EREREREREREREZGWOLhORERERERERERERKQlDq4TEREREREREREREWlJqwealpSUNFU/9F5ZWRmAZ3sdEIlBbVYv/XSpmXtCRA35rfw3AMwqkb6rzSrPgYn0G/9eJRIP5pVIHDTNqEQQBKGxQuXl5ZDJZKiurn7ijomZoaEhampqmrsbRNQIiYEEgqLRXRsRNTNmlUgcDAwNoKhRNHc3iKgR/HuVSDyYVyJxaNGiBUpKStC+fft6y2g0uA48GGC/evWqzjonRnfu3IGpqWlzd4OIGsGsEokDs0okDswqkTgwq0TiwbwSiUPr1q0bHFgHtBhcJyIiIiIiIiIiIiKiB/hAUyIiIiIiIiIiIiIiLXFwnYiIiIiIiIiIiIhISxxcJyIiIiIiIiIiIiLSEgfXiYiIiIiIiIiIiIi0xMF1IiIiIiIiIiIiIiItcXCdiIiIiIiIiIiIiEhLHFwnIiIiIiIiIiIiItISB9eJiIiIiIiIiIiIiLTEwXUiIiIiIiIiIiIiIi1xcJ2IiIiIiIiIiIiISEscXCciIiIiIiIiIiIi0hIH14mIiIiIiIiIiIiItMTBdSIiIiIiIiIiIiIiLXFwnYiIiIiIiIiIiIhISxxcJyIiIiIiIiIiIiLSEgfXiYiIiIiIiIiIiIi09H+J2BRxuO37YAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query83: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) >= (shifts[0,2,1]), (shifts[0,0,0]) >= (shifts[0,2,1]), (shifts[0,1,0]) == (shifts[0,2,1]), (shifts[0,0,0]) > (shifts[0,2,1]), (shifts[0,1,0]) >= (shifts[0,2,1]), (shifts[0,1,0]) > (shifts[0,2,1]), (shifts[0,0,1]) == (shifts[0,2,1])]\n",
      "Query84: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query85: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) > (shifts[0,2,1])]\n",
      "Query86: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) < (shifts[0,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,1,1]) != (shifts[0,2,1])]\n",
      "Size of CL:  12\n",
      "Size of B:  320\n",
      "Number of Queries:  87\n",
      "Query87: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query88: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query89: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query90: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query91: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,0,0]) != (shifts[0,2,1])]\n",
      "Size of CL:  13\n",
      "Size of B:  319\n",
      "Number of Queries:  92\n",
      "Query92: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query93: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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Spk0bS/Xq1S2urq6Whg0bWgYPHmz54YcfrGXq169v+fvf/15gu4CAAEtMTIzFYrFYjh49agEs+/bts6739PS0fPjhh9bXV69etfTs2dNStWpVC1Bg3W8tX77cYjabLZUqVbI0a9bMsm7dujK9d7FYFi1apKyWgbK6z7r+drOaX9dv/9q1a1em93+/U1bLTnndZ11/u3mtX79+kXnNb0uKp6yWXUVndfPmzUUe5wMGDCh2mw8++MDSoUMHS82aNS2VKlWy1KtXzzJw4EDLsWPHrGXatWtneeONNwps17179wL1ApbVq1dbX/86y/kiIyMtDz74YKnZ27x5syUwMNBSqVIlS8OGDUv8zCy/UFbLTlldbX19J1kt6j3Ur1+/1PcvymtZKaurra9vN6vt2rWz+T3IL8o6F2yyWCyW25mUv9/s3buXli1bkpaWRosWLSq6O/eVjz76iKioKP773/9SqVKliu6O2LnFixfTr18/ZbUCKKtiC2W1YimvUlbKasVSVqWslNWKpayKLZTXiqOsii3KOhes28KI3crJySE7O5tJkybx2muv6cQnYqeUVRHjUF5FjEFZFTEGZVXEGJRVuZv0QFOxW1OmTKFp06Z4e3szatSoiu6OiBRDWRUxDuVVxBiUVRFjUFZFjEFZlbtJk+tit8aOHcuNGzfYtGmTHjYmYseUVRHjUF5FjEFZFTEGZVXEGJRVuZs0uS4iIiIiIiIiIiIiYiNNrouIiIiIiIiIiIiI2EiT6yIiIiIiIiIiIiIiNnIqa8ETJ07www8/3M2+2LWsrCwAkpKSrP8WEfuTkpICKKsi9k5ZFTEGZVXEGJRVEeNQXkWM4ejRo2UqZ7JYLJbSCp04cQI/Pz9ycnLuuGNG5uDgQF5eXkV3Q0RKoayKGIPJwYQlr9SPISJSwTSuihiDsipiHMqriDE4Ojqyfft22rRpU2yZMv1y/YcffiAnJ4dFixbh5+dXbh00kqSkJEaPHn1f7wMRI1BWRYwhP6v95vTDy+xV0d0RkWJkfpbJ+gnrNa6K2Dl9BhYxDuVVxBiysrLo168fLi4uJZYr821hAPz8/GjRosUddcyo8i/VuZ/3gYgRKKsixpCfVS+zFz4BPhXcGxEpzplvzgAaV0XsnT4DixiH8ipyb9EDTUVEREREREREREREbKTJdRERERERERERERERG2lyXURERERERERERETERppcFynGli1bMJlMnD9/vqK7Yld9EbFH9pQRe+qLyN0wpPoQvlr3VUV3A7CvvojcS+xpLLOnvojYG3vKhz31RcTe2FM+7Kkv94pymVwfOHAgJpOJSZMmFVi+Zs0aTCZTeTRR7latWsVTTz3Fgw8+iMlkIj09vaK7ZHjleRz4+voyffr0MpePi4vD0dGRqVOn2tROSf74xz+SnZ2Np6dnudUpYi+UV5H7w9HdR4mqEcUHfT4otzpjs2LxD/Uvt/pE7gUaV0WMQVkVMQZlVYyk3H657urqyuTJkzl37lx5VQnA9evXy7W+fD///DNPPPEEkydPviv136/u1nFQmnnz5jFixAjmzZtXbnVWqlQJb29vu/2CSOROKa8i975di3bR9tW2HN55mAvZF8qlTg8vD5xcnMqlLpF7icZVEWNQVkWMQVkVoyi3yfXQ0FC8vb2Ji4srtszYsWMJDAwssGz69On4+vpaXw8cOJDnnnuOCRMmUKdOHZo0aQLArFmzaNy4Ma6urnh5edGrVy/rNnl5ecTFxdGgQQMqV65MQEAAK1asKLG//fv3Z8yYMYSGhtr+ZqVYZTkOAFauXEmzZs1wcXHB19eXadOmWde1b9+e48ePExUVhclkKvXks3XrVq5cuUJsbCwXL15kx44dBdZ/+eWXdOjQAXd3dzw8PGjZsiWpqakAHD9+nG7dulGtWjXc3Nxo1qwZSUlJQNGXysydOxcfHx8eeOABevToQXx8PFWrVrWuzz/GP/roI3x9ffH09KRv375cunTJWqYsx2tSUhJms5nKlSvToUMHjh07VuI+ELkdyqvyKve2a5evsW/NPoJfCcY/zJ/dS3Zb1+Wcz+GjP3/EW43fIrpONONbjWfX4l0A3Lx+kxUjVjDGbwzDaw/n7UfeZuPfN1q3/e2tWI7uOsqUkCkMrz2caU9O46t1XzGk+hBOZpwE4NDnhxhSfQjfbP2GaU9OI/qhaKZ3ms6ZQ2cK9DcjKYN32r/D8NrDGffoODZM3kDuzVzr+u8Pf8+MrjMYXns4cY/HcXDzwbuy30Rul8ZVjatiDMqqsirGoKwqq0ZRbpPrjo6OTJw4kZkzZ3Ly5Mk7qmvTpk0cPHiQjRs3kpiYSGpqKoMHDyY2NpaDBw+yYcMGQkJCrOXj4uJYuHAhs2fPZv/+/URFRdGvXz+2bt16p29LbFSW4yAtLY3evXvTt29fMjIyGDt2LKNHj2b+/PnArVv21K1bl9jYWLKzs8nOzi6xzYSEBMLDw3F2diY8PJyEhIQC61988UXq1q3Lnj17SEtLY+TIkTg7OwPw+uuvc+3aNbZt20ZGRgaTJ0+mSpUqRbaTkpJCZGQkb7zxBunp6YSFhTFhwoRC5Q4fPsyaNWtITEwkMTGRrVu3FriUqbTj9bvvvuP555+nW7dupKenExERwciRI0vcByK3Q3lVXuXetm/NPmo1roVXYy9a9W7FrsW7sFgsACRNTOL0wdO8tvw1Rn4xkhfeeQG3B90A2DZnG1+v/5oB8wbw191/pf8H/aler3qRbVy9eJW5f5pLHf86DN88nC6juvDJ258UWXbd+HV0H9edYZuG4eDkwNJBS63rDu88zOK/LCbktRBG7hxJ7/je7F6ym43Tbk3q5+XlMe+leThVciJqYxS943sX245IRdG4qnFVjEFZVVbFGJRVZdUoyvWa3h49ehAYGEhMTEyhA9AWbm5u/POf/6RSpUrArTC4ubnxzDPP4O7uTv369Xn00UcBuHbtGhMnTuSzzz6jTZs2ADRs2JDPP/+cOXPm0K5duzt/Y2KT0o6D+Ph4OnbsyOjRowEwm81kZmYydepUBg4cSPXq1XF0dMTd3R1vb+8S27p48SIrVqxg586dAPTr14+2bdvyj3/8w3oSO3HiBNHR0TRt2hSAxo0bW7c/ceIEPXv2pHnz5sCtY6c4M2fOpEuXLgwfPtza7x07dpCYmFigXF5eHvPnz8fd3R24dZXEpk2bmDBhQpmO1/fff59GjRpZv21t0qSJ9cQsUt6UV+VV7l27Fu2i1QutAGjasSlXLl7h25RvafxEY86dPMdDzR+i3qP1AHiw3oPW7c6dOkfNRjVp+HhDTCYT1X2KnlgHSFuZhslkos/0Pji7OuPd1JsL2RdYNmRZobJd/9aVh4MfBiB0SCgf9PmAG1dv4OzqzKdTPqXjkI4EhQcBUMO3Bk//9WnWjl1L5zc7882Wbzhz6AyRKyLxrO1prW9O7znls7NEyonGVY2rYgzKqrIqxqCsKqtGUG6/XM83efJkFixYQFZW1m3X0bx5c+vEOkBYWBj169enYcOG9O/fn8WLF5OTkwPAt99+S05ODmFhYVSpUsX6t3DhQg4fPnzH70duT0nHQVZWFsHBwQWWBQcHc+jQIXJzcwuVL8mSJUto1KgRAQEBAAQGBlK/fn2WLfvlf+qHDh1KREQEoaGhTJo0qcBxMXjwYMaPH09wcDAxMTF89dVXhdrId/DgQYKCggos++1ruPWwjPwTH0Dt2rU5e/YsULbjNSsri8cee6xAnfknSpG7QXlVXuXec+bQGY7vPU6Lni0AcHRy5NEej7Jr0a1bvwS/HMy+1fuYEjKFtTFrObrrqHXboPAgTmWcYmLQRFaOXMmB5APFtnP20FnqNKuDs6uzdVn9lvWLLFunWR3rvz28PAC4/MNlAE59fYr/TP0PI3xGWP+WDVnGxdMXuZ5znTPfnKHaQ9WsE+sAvkG+Nu4Vkd+HxlWNq2IMyqqyKsagrCqr9q7cJ9dDQkLo1KkTo0aNKtyYg4P1cuR8N27cKFTOzc2twGt3d3f27t3LkiVLqF27NmPGjCEgIIDz589z+fKt/ylbt24d6enp1r/MzMxS77sud09Jx0F5SkhIYP/+/Tg5OVn/MjMzCzx4YuzYsezfv5+uXbuSnJyMv78/q1evBiAiIoIjR47Qv39/MjIyaNWqFTNnzryjPuVfEpTPZDKRl5cHoONV7JLy+gvlVe4VuxbtIu9mHjH+MQytOZShNYeSMi+FLz/5kisXr+Af5k/MlzG0/0t7Lpy+wKwes/j36H8D4BPgw5h9Y+gyqgs3rtxg/ivz+XDAh3fcJwfnX33s/L/bXebn7frP1+k8sjPRW6OtfyM+H8FbqW/h5KqHp4qxaFz9hcZVsWfK6i+UVbFnyuovlFX7dFf+b2XSpEkEBgZaH0aar2bNmpw+fRqLxWJ9iEB6enqZ6nRyciI0NJTQ0FBiYmKoWrUqycnJhIWF4eLiwokTJ3QLGDtT3HHg5+dHSkpKgWUpKSmYzWYcHR2BW09SLu1bxoyMDFJTU9myZQvVq/9yyfpPP/1E+/btOXDggPVSHbPZjNlsJioqivDwcD788EN69OgBgI+PD5GRkURGRjJq1Cjmzp3LoEGDCrXXpEkT9uzZU2DZb1+Xxt/fv9Tj1c/Pj7Vr1xZY9sUXX9jUjoitlNfClFcxqtybuexZtofu47rTtEPTAusS+iewd+Vegl8OpkqNKgSFBxEUHkRKmxTWjllL93HdAXD1cKXF8y1o8XwLAp4NYM4Lc/j53M+4VSv4A4hajWuR+q9Ubl67iZPLrY+VJ/aesLnPdR+py9lDZ6nZsGaR673MXpw7dY4Lpy/g6X3r1+vH9hyzuR2R34vG1cI0roo9UlYLU1bFHimrhSmr9uOuTK43b96cF198kRkzZhRY3r59e77//numTJlCr1692LBhA+vXr8fDw6PE+hITEzly5AghISFUq1aNpKQk8vLyaNKkCe7u7gwfPpyoqCjy8vJ44oknuHDhAikpKXh4eDBgwIAi6/zpp584ceIE//3vf4Fbl2QAeHt7l3ofJimb4o6DYcOG0bp1a8aNG0efPn3YuXMn7777LrNmzbKW8fX1Zdu2bfTt2xcXFxdq1KhRqP6EhASCgoIKPNw2X+vWrUlISCA2Npbo6Gh69epFgwYNOHnyJHv27KFnz54ADBkyhC5dumA2mzl37hybN2/Gz8+vyPczaNAgQkJCiI+Pp1u3biQnJ7N+/fpSnzb9a2U5XiMjI5k2bRrR0dFERESQlpZmfRiHyN2ivBamvIpR7f90Pznnc3i8/+NU9qhcYN0j3R7hi0VfcCH7Aj6BPng39ebmtZtkfpqJl9kLgM3vbcbD24O6zeticjDx5b+/xMPLg8qelQu11bJnS9aNX8eyqGV0fKMj506eI/ndZACb8vZU9FPMDZ9LtbrVCHg2AJODif9+/V+yD2TT9a2umNubqdWoFh//z8c8G/ssVy9dJWlC0h3sJZG7S+NqYRpXxR4pq4Upq2KPlNXClFX7Ue63hckXGxtrvVQhn5+fH7NmzeK9994jICCA3bt3W2/eX5KqVauyatUqnnzySfz8/Jg9ezZLliyhWbNmAIwbN47Ro0cTFxeHn58fnTt3Zt26dTRo0KDYOteuXcujjz5K165dAejbty+PPvoos2fPvoN3Lb9V1HHQokULli9fztKlS/nDH/7AmDFjiI2NZeDAgQW2O3bsGI0aNaJmzcK/Yrt+/TqLFi2ynsR+q2fPnixcuBAHBwd+/PFHXnrpJcxmM71796ZLly68/fbbAOTm5vL6669bjxuz2VzgJPxrwcHBzJ49m/j4eAICAtiwYQNRUVG4urratE9KO17r1avHypUrWbNmDQEBAcyePZuJEyfa1IbI7VBeC1NexYh2LdpFk3ZNCk2sAwR0C+C7fd/h4ORAYmwiU9pOYeYzMzE5mhiQcOsHCa5VXEmekcy0jtOI7xjPT9/9xJ+X/RkHh8IfG109XHn141c5lXGKqe2mkjQhiU4jOgFYf8leFn4d/Xh1yasc3HyQ+NB4pj81nS3vb6F63Vu/HHJwcOCVj17hxtUbxIfGs/SNpTz91tO3s3tEfjcaVwvTuCr2SFktTFkVe6SsFqas2geT5bc3QS/C3r17admyJWlpabRo0eL36JfdWbx4Mf369buv94EU9uqrr3LgwAG2b99e0V2R/6OsSnGUV/uSn9Vhm4fhE+BT0d2RcpT6r1SW/O8S4o7FUalypdI3ELuW+q9UFr22SOOqFKJx1b7oM7AUR1m1P8qrFEVZtT9lnQ/XE6JEbPDOO+8QFhaGm5sb69evZ8GCBcV+EykiFUt5Ffl97F66mxq+NfCs7cmpr0/xydhPCHwuUBPrIvcYjasixqCsihiDsnrv0OS6iA12797NlClTuHTpEg0bNmTGjBlERERUdLdEpAjKq8jv49LZS6yPW8+ls5fw8PIgsHsgXf/WtaK7JSLlTOOqiDEoqyLGoKzeOzS5LmKD5cuXV3QXRKSMlFeR30fHwR3pOLhjRXdDRO4yjasixqCsihiDsnrvuGsPNBURERERERERERERuVdpcl1ERERERERERERExEaaXBcRERERERERERERsZEm10VEREREREREREREbGTTA02TkpLIysq6W32xaykpKcD9vQ9EjEBZFTGG/KxmfpbJmW/OVHBvRKQ4R3YdATSuitg7fQYWMQ7lVcQYjh49WqZyJovFYimt0M6dO2nbti25ubl33DEjc3BwIC8vr6K7ISKlMDmYsOSVemoTkQqmcVXEGJRVEWNQVkWMQ3kVMQZHR0e2b99OmzZtii1Tpl+uu7i4kJuby6JFi/Dz8yu3DhpJUlISo0ePvq/3gYgR5Ge135x+eJm9Kro7IlKMzM8yWT9hvcZVETunz8AixqCsihiH8ipiDFlZWfTr1w8XF5cSy9l0Wxg/Pz9atGhxRx0zqvxLde7nfSBiBPlZ9TJ74RPgU8G9EZHi5N8KRuOqiH3TZ2ARY1BWRYxDeRW5t+iBpiIiIiIiIiIiIiIiNtLkuoiIiIiIiIiIiIiIjTS5LiIiIiIiIiIiIiJiI02uixRjy5YtmEwmzp8/X9Fdsau+iNwtQ6oP4at1X1V0NwD76ovIvcSexjN76ouIvbGnfNhTX0TsjT3lw576ImJv7Ckf9tSXe0W5TK4PHDgQk8nEpEmTCixfs2YNJpOpPJooVzdu3ODNN9+kefPmuLm5UadOHV566SX++9//VnTXDK08jwNfX1+mT59e5vJxcXE4OjoydepUm9opyR//+Eeys7Px9PQstzpF7hVHdx8lqkYUH/T5oNzqjM2KxT/Uv9zqE7kXaGwVMQZlVcQYlFURY1BWxUjK7Zfrrq6uTJ48mXPnzpVXlQBcv369XOsDyMnJYe/evYwePZq9e/eyatUqDh48yLPPPlvubd1v7tZxUJp58+YxYsQI5s2bV251VqpUCW9vb7v8gkikou1atIu2r7bl8M7DXMi+UC51enh54OTiVC51idxLNLaKGIOyKmIMyqqIMSirYhTlNrkeGhqKt7c3cXFxxZYZO3YsgYGBBZZNnz4dX19f6+uBAwfy3HPPMWHCBOrUqUOTJk0AmDVrFo0bN8bV1RUvLy969epl3SYvL4+4uDgaNGhA5cqVCQgIYMWKFcX2w9PTk40bN9K7d2+aNGnC448/zrvvvktaWhonTpy4vR0gQNmOA4CVK1fSrFkzXFxc8PX1Zdq0adZ17du35/jx40RFRWEymUo9+WzdupUrV64QGxvLxYsX2bFjR4H1X375JR06dMDd3R0PDw9atmxJamoqAMePH6dbt25Uq1YNNzc3mjVrRlJSElD0pTJz587Fx8eHBx54gB49ehAfH0/VqlWt6/OP8Y8++ghfX188PT3p27cvly5dspYpy/GalJSE2WymcuXKdOjQgWPHjpW4D0R+T9cuX2Pfmn0EvxKMf5g/u5fstq7LOZ/DR3/+iLcav0V0nWjGtxrPrsW7ALh5/SYrRqxgjN8YhtceztuPvM3Gv2+0bvvbW7Ec3XWUKSFTGF57ONOenMZX675iSPUhnMw4CcChzw8xpPoQvtn6DdOenEb0Q9FM7zSdM4fOFOhvRlIG77R/h+G1hzPu0XFsmLyB3Ju51vXfH/6eGV1nMLz2cOIej+Pg5oN3Zb+J3C6NrRpbxRiUVWVVjEFZVVbFGJRVZdUoym1y3dHRkYkTJzJz5kxOnjx5R3Vt2rSJgwcPsnHjRhITE0lNTWXw4MHExsZy8OBBNmzYQEhIiLV8XFwcCxcuZPbs2ezfv5+oqCj69evH1q1by9zmhQsXMJlMBQ5ksV1ZjoO0tDR69+5N3759ycjIYOzYsYwePZr58+cDsGrVKurWrUtsbCzZ2dlkZ2eX2GZCQgLh4eE4OzsTHh5OQkJCgfUvvvgidevWZc+ePaSlpTFy5EicnZ0BeP3117l27Rrbtm0jIyODyZMnU6VKlSLbSUlJITIykjfeeIP09HTCwsKYMGFCoXKHDx9mzZo1JCYmkpiYyNatWwtcylTa8frdd9/x/PPP061bN9LT04mIiGDkyJEl7gOR39O+Nfuo1bgWXo29aNW7FbsW78JisQCQNDGJ0wdP89ry1xj5xUheeOcF3B50A2DbnG18vf5rBswbwF93/5X+H/Sner3qRbZx9eJV5v5pLnX86zB883C6jOrCJ29/UmTZdePX0X1cd4ZtGoaDkwNLBy21rju88zCL/7KYkNdCGLlzJL3je7N7yW42Trs1qZ+Xl8e8l+bhVMmJqI1R9I7vXWw7IhVFY6vGVjEGZVVZFWNQVpVVMQZlVVk1inK9/r5Hjx4EBgYSExNT6AC0hZubG//85z+pVKkScCsMbm5uPPPMM7i7u1O/fn0effRRAK5du8bEiRP57LPPaNOmDQANGzbk888/Z86cObRr167U9q5evcqbb75JeHg4Hh4et91vuaW04yA+Pp6OHTsyevRoAMxmM5mZmUydOpWBAwdSvXp1HB0dcXd3x9vbu8S2Ll68yIoVK9i5cycA/fr1o23btvzjH/+wnsROnDhBdHQ0TZs2BaBx48bW7U+cOEHPnj1p3rw5cOvYKc7MmTPp0qULw4cPt/Z7x44dJCYmFiiXl5fH/PnzcXd3B6B///5s2rSJCRMmlOl4ff/992nUqJH129YmTZpYT8wi9mDXol20eqEVAE07NuXKxSt8m/ItjZ9ozLmT53io+UPUe7QeAA/We9C63blT56jZqCYNH2+IyWSiuk/RE+sAaSvTMJlM9JneB2dXZ7ybenMh+wLLhiwrVLbr37rycPDDAIQOCeWDPh9w4+oNnF2d+XTKp3Qc0pGg8CAAavjW4Om/Ps3asWvp/GZnvtnyDWcOnSFyRSSetT2t9c3pPad8dpZIOdHYqrFVjEFZVVbFGJRVZVWMQVlVVo2g3H65nm/y5MksWLCArKys266jefPm1ol1gLCwMOrXr0/Dhg3p378/ixcvJicnB4Bvv/2WnJwcwsLCqFKlivVv4cKFHD58uNS2bty4Qe/evbFYLLz//vu33WcpqKTjICsri+Dg4ALLgoODOXToELm5uYXKl2TJkiU0atSIgIAAAAIDA6lfvz7Llv0yATd06FAiIiIIDQ1l0qRJBY6LwYMHM378eIKDg4mJieGrr74q1Ea+gwcPEhQUVGDZb1/DrYdl5J/4AGrXrs3Zs2eBsh2vWVlZPPbYYwXqzD9RilS0M4fOcHzvcVr0bAGAo5Mjj/Z4lF2Lbt36JfjlYPat3seUkCmsjVnL0V1HrdsGhQdxKuMUE4MmsnLkSg4kHyi2nbOHzlKnWR2cXZ2ty+q3rF9k2TrN6lj/7eF16wvSyz9cBuDU16f4z9T/MMJnhPVv2ZBlXDx9kes51znzzRmqPVTNOrEO4Bvka+NeEfl9aGzV2CrGoKwqq2IMyqqyKsagrCqr9q7cJ9dDQkLo1KkTo0aNKtyYg4P11gH5bty4Uaicm5tbgdfu7u7s3buXJUuWULt2bcaMGUNAQADnz5/n8uVbEyjr1q0jPT3d+peZmVnifdfz2+7duzfHjx9n48aN+tV6OSrpOChPCQkJ7N+/HycnJ+tfZmZmgQdPjB07lv3799O1a1eSk5Px9/dn9erVAERERHDkyBH69+9PRkYGrVq1YubMmXfUp/xLgvKZTCby8vIA7uh4FbEHuxbtIu9mHjH+MQytOZShNYeSMi+FLz/5kisXr+Af5k/MlzG0/0t7Lpy+wKwes/j36H8D4BPgw5h9Y+gyqgs3rtxg/ivz+XDAh3fcJwfnXw1l/3cLvfzMXf/5Op1HdiZ6a7T1b8TnI3gr9S2cXPXwVDEWja2/0Ngq9kxZ/YWyKvZMWf2Fsir2TFn9hbJqn+7KzMKkSZMIDAy0Pow0X82aNTl9+jQWi8X6EIH09PQy1enk5ERoaCihoaHExMRQtWpVkpOTCQsLw8XFhRMnTpTpFjD58ifWDx06xObNm3nwwQdL30hsUtxx4OfnR0pKSoFlKSkpmM1mHB0dgVtPUi7tW8aMjAxSU1PZsmUL1av/cnuJn376ifbt23PgwAHrpTpmsxmz2UxUVBTh4eF8+OGH9OjRAwAfHx8iIyOJjIxk1KhRzJ07l0GDBhVqr0mTJuzZs6fAst++Lo2/v3+px6ufnx9r164tsOyLL76wqR2RuyH3Zi57lu2h+7juNO3QtMC6hP4J7F25l+CXg6lSowpB4UEEhQeR0iaFtWPW0n1cdwBcPVxp8XwLWjzfgoBnA5jzwhx+PvczbtUKfqlaq3EtUv+Vys1rN3FyuTVUndhr+wOn6z5Sl7OHzlKzYc0i13uZvTh36hwXTl/A0/vWr9eP7TlmczsivxeNrYVpbBV7pKwWpqyKPVJWC1NWxR4pq4Upq/bjrkyuN2/enBdffJEZM2YUWN6+fXu+//57pkyZQq9evdiwYQPr168v9RfjiYmJHDlyhJCQEKpVq0ZSUhJ5eXk0adIEd3d3hg8fTlRUFHl5eTzxxBNcuHCBlJQUPDw8GDBgQKH6bty4Qa9evdi7dy+JiYnk5uZy+vRpAKpXr17gljRy+4o7DoYNG0br1q0ZN24cffr0YefOnbz77rvMmjXLWsbX15dt27bRt29fXFxcqFGjRqH6ExISCAoKKvBw23ytW7cmISGB2NhYoqOj6dWrFw0aNODkyZPs2bOHnj17AjBkyBC6dOmC2Wzm3LlzbN68GT8/vyLfz6BBgwgJCSE+Pp5u3bqRnJzM+vXrS33a9K+V5XiNjIxk2rRpREdHExERQVpamvVhHCIVaf+n+8k5n8Pj/R+nskflAuse6fYIXyz6ggvZF/AJ9MG7qTc3r90k89NMvMxeAGx+bzMe3h7UbV4Xk4OJL//9JR5eHlT2rFyorZY9W7Ju/DqWRS2j4xsdOXfyHMnvJgPYlLmnop9ibvhcqtWtRsCzAZgcTPz36/+SfSCbrm91xdzeTK1Gtfj4fz7m2dhnuXrpKkkTku5gL4ncXRpbC9PYKvZIWS1MWRV7pKwWpqyKPVJWC1NW7Ue53xYmX2xsrPVShXx+fn7MmjWL9957j4CAAHbv3m29eX9JqlatyqpVq3jyySfx8/Nj9uzZLFmyhGbNmgEwbtw4Ro8eTVxcHH5+fnTu3Jl169bRoEGDIus7deoUa9eu5eTJkwQGBlK7dm3r344dO+78zYtVUcdBixYtWL58OUuXLuUPf/gDY8aMITY2loEDBxbY7tixYzRq1IiaNQv/4vT69essWrTIehL7rZ49e7Jw4UIcHBz48ccfeemllzCbzfTu3ZsuXbrw9ttvA5Cbm8vrr79uPW7MZnOBk/CvBQcHM3v2bOLj4wkICGDDhg1ERUXh6upq0z4p7XitV68eK1euZM2aNQQEBDB79mwmTpxoUxsid8OuRbto0q5JoYl1gIBuAXy37zscnBxIjE1kStspzHxmJiZHEwMSbn3J6VrFleQZyUzrOI34jvH89N1P/HnZn3FwKDwUuXq48urHr3Iq4xRT200laUISnUZ0ArD+kr0s/Dr68eqSVzm4+SDxofFMf2o6W97fQvW6t36N4ODgwCsfvcKNqzeID41n6RtLefqtp29n94j8bjS2FqaxVeyRslqYsir2SFktTFkVe6SsFqas2geT5bc3QS/C3r17admyJWlpabRo0eL36JfdWbx4Mf369buv94EU9uqrr3LgwAG2b99e0V2R/5Of1WGbh+ET4FPR3ZFylPqvVJb87xLijsVRqbKuMDK61H+lsui1RRpXpRCNrfZFn4GlOMqqfVFWpTjKqv1RXqUoyqr9Ket8uJ7mJmKDd955h7CwMNzc3Fi/fj0LFiwo9ptIEbkzu5fupoZvDTxre3Lq61N8MvYTAp8L1MS6yD1GY6uIMSirIsagrIoYg7J679DkuogNdu/ezZQpU7h06RINGzZkxowZREREVHS3RO5Jl85eYn3cei6dvYSHlweB3QPp+reuFd0tESlnGltFjEFZFTEGZVXEGJTVe4cm10VssHz58orugsh9o+PgjnQc3LGiuyEid5nGVhFjUFZFjEFZFTEGZfXecdceaCoiIiIiIiIiIiIicq/S5LqIiIiIiIiIiIiIiI00uS4iIiIiIiIiIiIiYiOb7rmelJREVlbW3eqLXUtJSQHu730gYgT5Wc38LJMz35yp4N6ISHGO7DoCaFwVsXf6DCxiDMqqiHEoryLGcPTo0TKVM1ksFktphXbu3Enbtm3Jzc29444ZmcnBhCWv1N0lIhXMwcGBvLy8iu6GiJRCWRUxBmVVxBiUVRHjUF5FjMHR0ZHt27fTpk2bYsuU6ZfrLi4u5ObmsmjRIvz8/Mqtg0aSlJTE6NGj6TenH15mr4rujogUI/OzTNZPWH9fn69EjCB/XFVWReybsipiDMqqiHEoryLGkJWVRb9+/XBxcSmxnE23hfHz86NFixZ31DGjyr9Ux8vshU+ATwX3RkSKk38rmPv5fCViBPnjqrIqYt+UVRFjUFZFjEN5Fbm36IGmIiIiIiIiIiIiIiI20uS6iIiIiIiIiIiIiIiNNLkuIiIiIiIiIiIiImIjTa7LPW9I9SF8te6riu4GYF99EbmXbNmyBZPJxPnz5yu6K3bVFxF7Y0/5sKe+iNgbe8qHPfVFxN7YUz7sqS8i9sae8mFPfblXlMvk+sCBAzGZTEyaNKnA8jVr1mAymcqjiXI3duxYmjZtipubG9WqVSM0NJRdu3ZVdLfue0d3HyWqRhQf9Pmg3OqMzYrFP9S/3OoTuReU53nb19eX6dOnl7l8XFwcjo6OTJ061aZ2SvLHP/6R7OxsPD09y61OEXugrIoYg7IqYgzKqogxKKtiJOX2y3VXV1cmT57MuXPnyqtKAK5fv16u9eUzm828++67ZGRk8Pnnn+Pr68tTTz3F999/f1fak7LZtWgXbV9ty+Gdh7mQfaFc6vTw8sDJxalc6hK5l9yt83Zp5s2bx4gRI5g3b1651VmpUiW8vb3t9gtdkTuhrIoYg7IqYgzKqogxKKtiFOU2uR4aGoq3tzdxcXHFlhk7diyBgYEFlk2fPh1fX1/r64EDB/Lcc88xYcIE6tSpQ5MmTQCYNWsWjRs3xtXVFS8vL3r16mXdJi8vj7i4OBo0aEDlypUJCAhgxYoVJfb3T3/6E6GhoTRs2JBmzZoRHx/PxYsX+eor3bKjoly7fI19a/YR/Eow/mH+7F6y27ou53wOH/35I95q/BbRdaIZ32o8uxbfutLg5vWbrBixgjF+YxheezhvP/I2G/++0brtb2/FcnTXUaaETGF47eFMe3IaX637iiHVh3Ay4yQAhz4/xJDqQ/hm6zdMe3Ia0Q9FM73TdM4cOlOgvxlJGbzT/h2G1x7OuEfHsWHyBnJv5lrXf3/4e2Z0ncHw2sOJezyOg5sP3pX9JnK7ynLeBli5ciXNmjXDxcUFX19fpk2bZl3Xvn17jh8/TlRUFCaTqdQPC1u3buXKlSvExsZy8eJFduzYUWD9l19+SYcOHXB3d8fDw4OWLVuSmpoKwPHjx+nWrRvVqlXDzc2NZs2akZSUBBR9advcuXPx8fHhgQceoEePHsTHx1O1alXr+vwx6aOPPsLX1xdPT0/69u3LpUuXrGXKMr4kJSVhNpupXLkyHTp04NixYyXuAxFbKavKqhiDsqqsijEoq8qqGIOyqqwaRblNrjs6OjJx4kRmzpzJyZMn76iuTZs2cfDgQTZu3EhiYiKpqakMHjyY2NhYDh48yIYNGwgJCbGWj4uLY+HChcyePZv9+/cTFRVFv3792Lp1a5nau379Oh988AGenp4EBATcUd/l9u1bs49ajWvh1diLVr1bsWvxLiwWCwBJE5M4ffA0ry1/jZFfjOSFd17A7UE3ALbN2cbX679mwLwB/HX3X+n/QX+q16teZBtXL15l7p/mUse/DsM3D6fLqC588vYnRZZdN34d3cd1Z9imYTg4ObB00FLrusM7D7P4L4sJeS2EkTtH0ju+N7uX7GbjtFuT+nl5ecx7aR5OlZyI2hhF7/jexbYjUlHKct5OS0ujd+/e9O3bl4yMDMaOHcvo0aOZP38+AKtWraJu3brExsaSnZ1NdnZ2iW0mJCQQHh6Os7Mz4eHhJCQkFFj/4osvUrduXfbs2UNaWhojR47E2dkZgNdff51r166xbds2MjIymDx5MlWqVCmynZSUFCIjI3njjTdIT08nLCyMCRMmFCp3+PBh1qxZQ2JiIomJiWzdurXApYeljS/fffcdzz//PN26dSM9PZ2IiAhGjhxZ4j4QsZWyqqyKMSiryqoYg7KqrIoxKKvKqlGU670yevToQWBgIDExMYUOQFu4ubnxz3/+k0qVKgG3wuDm5sYzzzyDu7s79evX59FHHwXg2rVrTJw4kc8++4w2bdoA0LBhQz7//HPmzJlDu3btim0nMTGRvn37kpOTQ+3atdm4cSM1atS47X7Lndm1aBetXmgFQNOOTbly8QrfpnxL4ycac+7kOR5q/hD1Hq0HwIP1HrRud+7UOWo2qknDxxtiMpmo7lP0xDpA2so0TCYTfab3wdnVGe+m3lzIvsCyIcsKle36t648HPwwAKFDQvmgzwfcuHoDZ1dnPp3yKR2HdCQoPAiAGr41ePqvT7N27Fo6v9mZb7Z8w5lDZ4hcEYlnbU9rfXN6zymfnSVSTko7b8fHx9OxY0dGjx4N3LqlVmZmJlOnTmXgwIFUr14dR0dH3N3d8fb2LrGtixcvsmLFCnbu3AlAv379aNu2Lf/4xz+sHzpOnDhBdHQ0TZs2BaBx48bW7U+cOEHPnj1p3rw5cOtcX5yZM2fSpUsXhg8fbu33jh07SExMLFAuLy+P+fPn4+7uDkD//v3ZtGkTEyZMKNP48v7779OoUSPrryOaNGli/SAlUp6UVWVVjEFZVVbFGJRVZVWMQVlVVo2g3H65nm/y5MksWLCArKys266jefPm1ol1gLCwMOrXr0/Dhg3p378/ixcvJicnB4Bvv/2WnJwcwsLCqFKlivVv4cKFHD58uMR2OnToQHp6Ojt27KBz58707t2bs2fP3na/5fadOXSG43uP06JnCwAcnRx5tMej7Fp069YvwS8Hs2/1PqaETGFtzFqO7jpq3TYoPIhTGaeYGDSRlSNXciD5QLHtnD10ljrN6uDs6mxdVr9l/SLL1mlWx/pvDy8PAC7/cBmAU1+f4j9T/8MInxHWv2VDlnHx9EWu51znzDdnqPZQNevEOoBvkK+Ne0Xk91HSeTsrK4vg4OACy4KDgzl06BC5ubmFypdkyZIlNGrUyHqFUGBgIPXr12fZsl++3Bo6dCgRERGEhoYyadKkAufxwYMHM378eIKDg4mJiSnxNl4HDx4kKCiowLLfvoZbD7fJ/6ACULt2bes4UJbxJSsri8cee6xAnfkfbETKm7KqrIoxKKvKqhiDsqqsijEoq8qqvSv3yfWQkBA6derEqFGjCjfm4GC9zUe+GzduFCrn5uZW4LW7uzt79+5lyZIl1K5dmzFjxhAQEMD58+e5fPnWZOe6detIT0+3/mVmZpZ633U3NzcefvhhHn/8cRISEnBycrqjX9zL7du1aBd5N/OI8Y9haM2hDK05lJR5KXz5yZdcuXgF/zB/Yr6Mof1f2nPh9AVm9ZjFv0f/GwCfAB/G7BtDl1FduHHlBvNfmc+HAz684z45OP8qHv93W668vDwArv98nc4jOxO9Ndr6N+LzEbyV+hZOrnp4qhhLSeft8pSQkMD+/ftxcnKy/mVmZhZ4UMzYsWPZv38/Xbt2JTk5GX9/f1avXg1AREQER44coX///mRkZNCqVStmzpx5R33Kv4Qvn8lksub8TsYXkbtBWf2Fsir2TFn9hbIq9kxZ/YWyKvZMWf2Fsmqf7sos4KRJkwgMDLQ+jDRfzZo1OX36NBaLxfoQgfT09DLV6eTkRGhoKKGhocTExFC1alWSk5MJCwvDxcWFEydOlHgLmLLIy8vj2rVrd1SH2C73Zi57lu2h+7juNO3QtMC6hP4J7F25l+CXg6lSowpB4UEEhQeR0iaFtWPW0n1cdwBcPVxp8XwLWjzfgoBnA5jzwhx+PvczbtUKflFTq3EtUv+Vys1rN3FyuXX4n9h7wuY+132kLmcPnaVmw5pFrvcye3Hu1DkunL6Ap/etX68f23PM5nZEfi/Fnbf9/PxISUkpsCwlJQWz2YyjoyNw68nnpf0qICMjg9TUVLZs2UL16r/cuumnn36iffv2HDhwwHppndlsxmw2ExUVRXh4OB9++CE9evQAwMfHh8jISCIjIxk1ahRz585l0KBBhdpr0qQJe/bsKbDst69L4+/vX+r44ufnx9q1awss++KLL2xqR8QWymphyqrYI2W1MGVV7JGyWpiyKvZIWS1MWbUfd2VyvXnz5rz44ovMmDGjwPL27dvz/fffM2XKFHr16sWGDRtYv349Hh4eJdaXmJjIkSNHCAkJoVq1aiQlJZGXl0eTJk1wd3dn+PDhREVFkZeXxxNPPMGFCxdISUnBw8ODAQMGFKrv559/ZsKECTz77LPUrl2bH374gffee49Tp07xwgsvlOu+kNLt/3Q/OedzeLz/41T2qFxg3SPdHuGLRV9wIfsCPoE+eDf15ua1m2R+momX2QuAze9txsPbg7rN62JyMPHlv7/Ew8uDyp6VC7XVsmdL1o1fx7KoZXR8oyPnTp4j+d1kgFKfGv1rT0U/xdzwuVSrW42AZwMwOZj479f/JftANl3f6oq5vZlajWrx8f98zLOxz3L10lWSJiTdwV4SubuKO28PGzaM1q1bM27cOPr06cPOnTt59913mTVrlrWMr68v27Zto2/fvri4uBT57IqEhASCgoIKPIw6X+vWrUlISCA2Npbo6Gh69epFgwYNOHnyJHv27KFnz54ADBkyhC5dumA2mzl37hybN2/Gz8+vyPczaNAgQkJCiI+Pp1u3biQnJ7N+/Xqbcl6W8SUyMpJp06YRHR1NREQEaWlp1ofniNwNymphyqrYI2W1MGVV7JGyWpiyKvZIWS1MWbUf5X5bmHyxsbHWSxXy+fn5MWvWLN577z0CAgLYvXu39eb9JalatSqrVq3iySefxM/Pj9mzZ7NkyRKaNWsGwLhx4xg9ejRxcXH4+fnRuXNn1q1bR4MGDYqsz9HRkQMHDtCzZ0/MZjPdunXjxx9/ZPv27dY65feza9EumrRrUmhiHSCgWwDf7fsOBycHEmMTmdJ2CjOfmYnJ0cSAhFtfnLhWcSV5RjLTOk4jvmM8P333E39e9mccHAof3q4errz68aucyjjF1HZTSZqQRKcRnQCsv2QvC7+Ofry65FUObj5IfGg805+azpb3t1C97q1vOB0cHHjlo1e4cfUG8aHxLH1jKU+/9fTt7B6R301R5+0WLVqwfPlyli5dyh/+8AfGjBlDbGwsAwcOLLDdsWPHaNSoETVrFr6a4/r16yxatMj6oeO3evbsycKFC3FwcODHH3/kpZdewmw207t3b7p06cLbb78NQG5uLq+//rr1PG82mwt8aPq14OBgZs+eTXx8PAEBAWzYsIGoqChcXV1t2ieljS/16tVj5cqVrFmzhoCAAGbPns3EiRNtakPEVspqYcqq2CNltTBlVeyRslqYsir2SFktTFm1DybLb2+CXoS9e/fSsmVL0tLSaNGixe/RL7uzePFi+vXrx7DNw/AJ8Kno7kg5Sv1XKkv+dwlxx+KoVLlS6RuIXUv9VyqLXlt0X5+vpGivvvoqBw4cYPv27RXdFeGXcVVZld9SVu2LsirFUVbti7IqxVFW7Y/yKkVRVu1PWefD9eRFue/sXrqbGr418KztyamvT/HJ2E8IfC5QE+si95h33nmHsLAw3NzcWL9+PQsWLCj2lwMiUnGUVRFjUFZFjEFZFTEGZfXeocl1ue9cOnuJ9XHruXT2Eh5eHgR2D6Tr37pWdLdEpJzt3r2bKVOmcOnSJRo2bMiMGTOIiIio6G6JyG8oqyLGoKyKGIOyKmIMyuq9Q5Prct/pOLgjHQd3rOhuiMhdtnz58orugoiUgbIqYgzKqogxKKsixqCs3jvu2gNNRURERERERERERETuVZpcFxERERERERERERGxkSbXRURERERERERERERspMl1EREREREREREREREb2fRA06SkJLKysu5WX+xaSkoKAJmfZXLmmzMV3BsRKc6RXUeA+/t8JWIE+eOqsipi35RVEWNQVkWMQ3kVMYajR4+WqZzJYrFYSiu0c+dO2rZtS25u7h13zMgcHBzIy8ur6G6ISCmUVRFjUFZFjEFZFTEGZVXEOJRXEWNwdHRk+/bttGnTptgyZfrluouLC7m5uSxatAg/P79y66CRJCUlMXr06Pt6H4gYgbIqYgzKqogxKKsixqCsihiH8ipiDFlZWfTr1w8XF5cSy9l0Wxg/Pz9atGhxRx0zqvxLde7nfSBiBMqqiDEoqyLGoKyKGIOyKmIcyqvIvUUPNBURERERERERERERsZEm10VEREREREREREREbKTJdZFibNmyBZPJxPnz5yu6K3bVFxF7ZE8Zsae+iNgbe8qHPfVFxN7YUz7sqS8i9sae8mFPfRGxN/aUD3vqy72iXCbXBw4ciMlkYtKkSQWWr1mzBpPJVB5N3FWRkZGYTCamT59e0V0xtPI8Dnx9fW367xEXF4ejoyNTp061qZ2S/PGPfyQ7OxtPT89yq1PEXiivIsagrIoYg7IqYgzKqogxKKtiJOX2y3VXV1cmT57MuXPnyqtKAK5fv16u9f3W6tWr+eKLL6hTp85dbed+cbeOg9LMmzePESNGMG/evHKrs1KlSnh7exviCyKR26G8ihiDsipiDMqqiDEoqyLGoKyKUZTb5HpoaCje3t7ExcUVW2bs2LEEBgYWWDZ9+nR8fX2trwcOHMhzzz3HhAkTqFOnDk2aNAFg1qxZNG7cGFdXV7y8vOjVq5d1m7y8POLi4mjQoAGVK1cmICCAFStWlNrnU6dOMWjQIBYvXoyzs7Ntb1iKVJbjAGDlypU0a9YMFxcXfH19mTZtmnVd+/btOX78OFFRUZhMplJPPlu3buXKlSvExsZy8eJFduzYUWD9l19+SYcOHXB3d8fDw4OWLVuSmpoKwPHjx+nWrRvVqlXDzc2NZs2akZSUBBR9qczcuXPx8fHhgQceoEePHsTHx1O1alXr+vxj/KOPPsLX1xdPT0/69u3LpUuXrGXKcrwmJSVhNpupXLkyHTp04NixYyXuA5Hbobwqr2IMyqqyKsagrCqrYgzKqrIqxqCsKqtGUW6T646OjkycOJGZM2dy8uTJO6pr06ZNHDx4kI0bN5KYmEhqaiqDBw8mNjaWgwcPsmHDBkJCQqzl4+LiWLhwIbNnz2b//v1ERUXRr18/tm7dWmwbeXl59O/fn+joaJo1a3ZH/ZVflOU4SEtLo3fv3vTt25eMjAzGjh3L6NGjmT9/PgCrVq2ibt26xMbGkp2dTXZ2doltJiQkEB4ejrOzM+Hh4SQkJBRY/+KLL1K3bl327NlDWloaI0eOtH6Z8vrrr3Pt2jW2bdtGRkYGkydPpkqVKkW2k5KSQmRkJG+88Qbp6emEhYUxYcKEQuUOHz7MmjVrSExMJDExka1btxa4lKm04/W7777j+eefp1u3bqSnpxMREcHIkSNL3Acit0N5VV7FGJRVZVWMQVlVVsUYlFVlVYxBWVVWDcNSBmlpaRbAkpaWVuT6AQMGWLp3726xWCyWxx9/3PLKK69YLBaLZfXq1ZZfNxETE2MJCAgosO3f//53S/369QvU5eXlZbl27Zp12cqVKy0eHh6WixcvFmr76tWrlgceeMCyY8eOAsv/3//7f5bw8PBi39PEiRMtYWFhlry8PIvFYrHUr1/f8ve//73Y8osWLSpxH0jZj4M//elPlrCwsALbRkdHW/z9/a2vS/vvke/ChQuWypUrW9LT0y0Wi8Wyb98+S5UqVSyXLl2ylnF3d7fMnz+/yO2bN29uGTt2bJHrNm/ebAEs586ds1gsFkufPn0sXbt2LVDmxRdftHh6elpfx8TEWB544IECx2p0dLTlscces1gsZTteR40aVWBfWCwWy5tvvlmgL1I8ZbVslFfltaIpq2WjrCqrFU1ZLRtlVVmtaMpq2Siryqo9UF5Lp6wqq/agtPnwfOX2y/V8kydPZsGCBWRlZd12Hc2bN6dSpUrW12FhYdSvX5+GDRvSv39/Fi9eTE5ODgDffvstOTk5hIWFUaVKFevfwoULOXz4cJH1p6Wl8Y9//IP58+frfkd3SUnHQVZWFsHBwQWWBQcHc+jQIXJzc21qZ8mSJTRq1IiAgAAAAgMDqV+/PsuWLbOWGTp0KBEREYSGhjJp0qQCx8XgwYMZP348wcHBxMTE8NVXXxXb1sGDBwkKCiqw7Lev4dbDMtzd3a2va9euzdmzZ4GyHa9ZWVk89thjBeps06ZNWXeJiM2UV+VVjEFZVVbFGJRVZVWMQVlVVsUYlFVl1d6V++R6SEgInTp1YtSoUYUbc3DAYrEUWHbjxo1C5dzc3Aq8dnd3Z+/evSxZsoTatWszZswYAgICOH/+PJcvXwZg3bp1pKenW/8yMzOLve/69u3bOXv2LPXq1cPJyQknJyeOHz/OsGHDCtz/XW5fScdBeUpISGD//v3W/45OTk5kZmYWePDE2LFj2b9/P127diU5ORl/f39Wr14NQEREBEeOHKF///5kZGTQqlUrZs6ceUd9+u39+00mE3l5eQC3dbyK3G3K6y+UV7FnyuovlFWxZ8rqL5RVsWfK6i+UVbFnyuovlFX75HQ3Kp00aRKBgYHWh5Hmq1mzJqdPn8ZisVh/MZ6enl6mOp2cnAgNDSU0NJSYmBiqVq1KcnIyYWFhuLi4cOLECdq1a1emuvr3709oaGiBZZ06daJ///68/PLLZapDSlfcceDn50dKSkqBZSkpKZjNZhwdHYFbT1Iu7VvGjIwMUlNT2bJlC9WrV7cu/+mnn2jfvj0HDhygadOmAJjNZsxmM1FRUYSHh/Phhx/So0cPAHx8fIiMjCQyMpJRo0Yxd+5cBg0aVKi9Jk2asGfPngLLfvu6NP7+/qUer35+fqxdu7bAsi+++MKmdkRspbwWpryKPVJWC1NWxR4pq4Upq2KPlNXClFWxR8pqYcqq/bgrk+vNmzfnxRdfZMaMGQWWt2/fnu+//54pU6bQq1cvNmzYwPr16/Hw8CixvsTERI4cOUJISAjVqlUjKSmJvLw8mjRpgru7O8OHDycqKoq8vDyeeOIJLly4QEpKCh4eHgwYMKBQfQ8++CAPPvhggWXOzs54e3sXCqrcvuKOg2HDhtG6dWvGjRtHnz592LlzJ++++y6zZs2ylvH19WXbtm307dsXFxcXatSoUaj+hIQEgoKCCjzcNl/r1q1JSEggNjaW6OhoevXqRYMGDTh58iR79uyhZ8+eAAwZMoQuXbpgNps5d+4cmzdvxs/Pr8j3M2jQIEJCQoiPj6dbt24kJyezfv16m24tVJbjNTIykmnTphEdHU1ERARpaWnWh3GI3C3Ka2HKq9gjZbUwZVXskbJamLIq9khZLUxZFXukrBamrNqR8riB+68fNJDv6NGjlkqVKll+28T7779v8fHxsbi5uVleeukly4QJEwo90PS3dW3fvt3Srl07S7Vq1SyVK1e2PPLII5Zly5ZZ1+fl5VmmT59uadKkicXZ2dlSs2ZNS6dOnSxbt24ty9uzWCx6oGl5sOU4WLFihcXf39/i7OxsqVevnmXq1KkF1u/cudPyyCOPWFxcXApta7FYLNeuXbM8+OCDlilTphTZl8mTJ1tq1apluXr1qqVv374WHx8fS6VKlSx16tSx/O///q/lypUrFovFYvnf//1fS6NGjSwuLi6WmjVrWvr372/54YcfLBZL4QdOWCwWywcffGB56KGHLJUrV7Y899xzlvHjx1u8vb2t68vy0N6yHK+ffPKJ5eGHH7a4uLhY2rZta5k3b54eOFFGymrZKK/Ka0VTVstGWVVWK5qyWjbKqrJa0ZTVslFWlVV7oLyWTllVVu1BWR9oarJYfnMT9CLs3buXli1bkpaWRosWLcphSt94Fi9eTL9+/e7rfSCFvfrqqxw4cIDt27dXdFfk/yirUhzl1b4oq1IcZdW+KKtSHGXVviirUhxl1f4or1IUZdX+lHU+/K7cFkbkXvXOO+8QFhaGm5sb69evZ8GCBQUuNxIR+6G8ihiDsipiDMqqiDEoqyLGoKzeOzS5LmKD3bt3M2XKFC5dukTDhg2ZMWMGERERFd0tESmC8ipiDMqqiDEoqyLGoKyKGIOyeu/Q5LqIDZYvX17RXRCRMlJeRYxBWRUxBmVVxBiUVRFjUFbvHQ4V3QEREREREREREREREaPR5LqIiIiIiIiIiIiIiI00uS4iIiIiIiIiIiIiYiNNrouIiIiIiIiIiIiI2MimB5omJSWRlZV1t/pi11JSUoD7ex+IGIGyKmIMyqqIMSirIsagrIoYh/IqYgxHjx4tUzmTxWKxlFZo586dtG3bltzc3DvumJE5ODiQl5dX0d0QkVKYHExY8ko9tYlIBdO4KmIMyqqIMSirIsahvIoYg6OjI9u3b6dNmzbFlinTL9ddXFzIzc1l0aJF+Pn5lVsHjSQpKYnRo0ff1/tAxAjys9pvTj+8zF4V3R0RKUbmZ5msn7Be46qIndNnYBFjUFZFjEN5FTGGrKws+vXrh4uLS4nlbLotjJ+fHy1atLijjhlV/qU69/M+EDGC/Kx6mb3wCfCp4N6ISHHOfHMG0LgqYu/0GVjEGJRVEeNQXkXuLXqgqYiIiIiIiIiIiIiIjTS5LiIiIiIiIiIiIiJiI02ui4iIiIiIiIiIiIjYSJPrIsXYsmULJpOJ8+fPV3RX7KovInfLkOpD+GrdVxXdDcC++iJyL7Gn8cye+iJib+wpH/bUFxF7Y0/5sKe+iNgbe8qHPfXlXlEuk+sDBw7EZDIxadKkAsvXrFmDyWQqjybKXX6ff/3XuXPniu6WoZXnceDr68v06dPLXD4uLg5HR0emTp1qUzsl+eMf/0h2djaenp7lVqfIveLo7qNE1Yjigz4flFudsVmx+If6l1t9IvcCja0ixqCsihiDsipiDMqqGEm5/XLd1dWVyZMnc+7cufKqEoDr16+Xa32/1rlzZ7Kzs61/S5YsuWtt3S/u1nFQmnnz5jFixAjmzZtXbnVWqlQJb29vu/2CSKQi7Vq0i7avtuXwzsNcyL5QLnV6eHng5OJULnWJ3Es0tooYg7IqYgzKqogxKKtiFOU2uR4aGoq3tzdxcXHFlhk7diyBgYEFlk2fPh1fX1/r64EDB/Lcc88xYcIE6tSpQ5MmTQCYNWsWjRs3xtXVFS8vL3r16mXdJi8vj7i4OBo0aEDlypUJCAhgxYoVpfbZxcUFb29v61+1atVse9NSSFmOA4CVK1fSrFkzXFxc8PX1Zdq0adZ17du35/jx40RFRVmvKijJ1q1buXLlCrGxsVy8eJEdO3YUWP/ll1/SoUMH3N3d8fDwoGXLlqSmpgJw/PhxunXrRrVq1XBzc6NZs2YkJSUBRV8qM3fuXHx8fHjggQfo0aMH8fHxVK1a1bo+/xj/6KOP8PX1xdPTk759+3Lp0iVrmbIcr0lJSZjNZipXrkyHDh04duxYiftA5Pd07fI19q3ZR/ArwfiH+bN7yW7rupzzOXz05494q/FbRNeJZnyr8exavAuAm9dvsmLECsb4jWF47eG8/cjbbPz7Ruu2v70Vy9FdR5kSMoXhtYcz7clpfLXuK4ZUH8LJjJMAHPr8EEOqD+Gbrd8w7clpRD8UzfRO0zlz6EyB/mYkZfBO+3cYXns44x4dx4bJG8i9mWtd//3h75nRdQbDaw8n7vE4Dm4+eFf2m8jt0tiqsVWMQVlVVsUYlFVlVYxBWVVWjaLcJtcdHR2ZOHEiM2fO5OTJk3dU16ZNmzh48CAbN24kMTGR1NRUBg8eTGxsLAcPHmTDhg2EhIRYy8fFxbFw4UJmz57N/v37iYqKol+/fmzdurXEdrZs2UKtWrVo0qQJf/nLX/jxxx/vqN9StuMgLS2N3r1707dvXzIyMhg7diyjR49m/vz5AKxatYq6desSGxtrvaqgJAkJCYSHh+Ps7Ex4eDgJCQkF1r/44ovUrVuXPXv2kJaWxsiRI3F2dgbg9ddf59q1a2zbto2MjAwmT55MlSpVimwnJSWFyMhI3njjDdLT0wkLC2PChAmFyh0+fJg1a9aQmJhIYmIiW7duLXApU2nH63fffcfzzz9Pt27dSE9PJyIigpEjR5a4D0R+T/vW7KNW41p4NfaiVe9W7Fq8C4vFAkDSxCROHzzNa8tfY+QXI3nhnRdwe9ANgG1ztvH1+q8ZMG8Af939V/p/0J/q9aoX2cbVi1eZ+6e51PGvw/DNw+kyqgufvP1JkWXXjV9H93HdGbZpGA5ODiwdtNS67vDOwyz+y2JCXgth5M6R9I7vze4lu9k47dakfl5eHvNemodTJSeiNkbRO753se2IVBSNrRpbxRiUVWVVjEFZVVbFGJRVZdUoyvX6+x49ehAYGEhMTEyhA9AWbm5u/POf/6RSpUrArTC4ubnxzDPP4O7uTv369Xn00UcBuHbtGhMnTuSzzz6jTZs2ADRs2JDPP/+cOXPm0K5duyLb6Ny5M88//zwNGjTg8OHD/PWvf6VLly7s3LkTR0fH2+67lH4cxMfH07FjR0aPHg2A2WwmMzOTqVOnMnDgQKpXr46joyPu7u54e3uX2NbFixdZsWIFO3fuBKBfv360bduWf/zjH9aT2IkTJ4iOjqZp06YANG7c2Lr9iRMn6NmzJ82bNwduHTvFmTlzJl26dGH48OHWfu/YsYPExMQC5fLy8pg/fz7u7u4A9O/fn02bNjFhwoQyHa/vv/8+jRo1sn7b2qRJE+uJWcQe7Fq0i1YvtAKgacemXLl4hW9TvqXxE405d/IcDzV/iHqP1gPgwXoPWrc7d+ocNRvVpOHjDTGZTFT3KXpiHSBtZRomk4k+0/vg7OqMd1NvLmRfYNmQZYXKdv1bVx4OfhiA0CGhfNDnA25cvYGzqzOfTvmUjkM6EhQeBEAN3xo8/denWTt2LZ3f7Mw3W77hzKEzRK6IxLO2p7W+Ob3nlM/OEiknGls1tooxKKvKqhiDsqqsijEoq8qqEZTbL9fzTZ48mQULFpCVlXXbdTRv3tw6sQ4QFhZG/fr1adiwIf3792fx4sXk5OQA8O2335KTk0NYWBhVqlSx/i1cuJDDhw8X20bfvn159tlnad68Oc899xyJiYns2bOHLVu23Ha/5RclHQdZWVkEBwcXWBYcHMyhQ4fIzc0tVL4kS5YsoVGjRgQEBAAQGBhI/fr1Wbbslwm4oUOHEhERQWhoKJMmTSpwXAwePJjx48cTHBxMTEwMX331VaE28h08eJCgoKACy377Gm49LCP/xAdQu3Ztzp49C5TteM3KyuKxxx4rUGf+iVKkop05dIbje4/TomcLABydHHm0x6PsWnTr1i/BLwezb/U+poRMYW3MWo7uOmrdNig8iFMZp5gYNJGVI1dyIPlAse2cPXSWOs3q4OzqbF1Wv2X9IsvWaVbH+m8PLw8ALv9wGYBTX5/iP1P/wwifEda/ZUOWcfH0Ra7nXOfMN2eo9lA168Q6gG+Qr417ReT3obFVY6sYg7KqrIoxKKvKqhiDsqqs2rtyn1wPCQmhU6dOjBo1qnBjDg7WWwfku3HjRqFybm5uBV67u7uzd+9elixZQu3atRkzZgwBAQGcP3+ey5dvTaCsW7eO9PR0619mZmaZ7ruer2HDhtSoUYNvv/22zNtI8Uo6DspTQkIC+/fvx8nJyfqXmZlZ4METY8eOZf/+/XTt2pXk5GT8/f1ZvXo1ABERERw5coT+/fuTkZFBq1atmDlz5h31Kf+SoHwmk4m8vDyAcjteRSrKrkW7yLuZR4x/DENrDmVozaGkzEvhy0++5MrFK/iH+RPzZQzt/9KeC6cvMKvHLP49+t8A+AT4MGbfGLqM6sKNKzeY/8p8Phzw4R33ycH5V0PZ/91CLz9z13++TueRnYneGm39G/H5CN5KfQsnVz08VYxFY+svNLaKPVNWf6Gsij1TVn+hrIo9U1Z/oazap7syszBp0iQCAwOtDyPNV7NmTU6fPo3FYrE+RCA9Pb1MdTo5OREaGkpoaCgxMTFUrVqV5ORkwsLCcHFx4cSJE8XeAqYsTp48yY8//kjt2rVvuw4pqLjjwM/Pj5SUlALLUlJSMJvN1lvyVKpUqdRvGTMyMkhNTWXLli1Ur/7L7SV++ukn2rdvz4EDB6yX6pjNZsxmM1FRUYSHh/Phhx/So0cPAHx8fIiMjCQyMpJRo0Yxd+5cBg0aVKi9Jk2asGfPngLLfvu6NP7+/qUer35+fqxdu7bAsi+++MKmdkTuhtybuexZtofu47rTtEPTAusS+iewd+Vegl8OpkqNKgSFBxEUHkRKmxTWjllL93HdAXD1cKXF8y1o8XwLAp4NYM4Lc/j53M+4VSv4pWqtxrVI/VcqN6/dxMnl1lB1Yu8Jm/tc95G6nD10lpoNaxa53svsxblT57hw+gKe3rd+vX5szzGb2xH5vWhsLUxjq9gjZbUwZVXskbJamLIq9khZLUxZtR93ZXK9efPmvPjii8yYMaPA8vbt2/P9998zZcoUevXqxYYNG1i/fj0eHh4l1peYmMiRI0cICQmhWrVqJCUlkZeXR5MmTXB3d2f48OFERUWRl5fHE088wYULF0hJScHDw4MBAwYUqu/y5cu8/fbb9OzZE29vbw4fPsyIESN4+OGH6dSpU7nui/tZccfBsGHDaN26NePGjaNPnz7s3LmTd999l1mzZlnL+Pr6sm3bNvr27YuLiws1atQoVH9CQgJBQUEFHm6br3Xr1iQkJBAbG0t0dDS9evWiQYMGnDx5kj179tCzZ08AhgwZQpcuXTCbzZw7d47Nmzfj5+dX5PsZNGgQISEhxMfH061bN5KTk1m/fn2pT5v+tbIcr5GRkUybNo3o6GgiIiJIS0uzPoxDpCLt/3Q/OedzeLz/41T2qFxg3SPdHuGLRV9wIfsCPoE+eDf15ua1m2R+momX2QuAze9txsPbg7rN62JyMPHlv7/Ew8uDyp6VC7XVsmdL1o1fx7KoZXR8oyPnTp4j+d1kAJsy91T0U8wNn0u1utUIeDYAk4OJ/379X7IPZNP1ra6Y25up1agWH//Pxzwb+yxXL10laULSHewlkbtLY2thGlvFHimrhSmrYo+U1cKUVbFHymphyqr9KPfbwuSLjY21XqqQz8/Pj1mzZvHee+8REBDA7t27rTfvL0nVqlVZtWoVTz75JH5+fsyePZslS5bQrFkzAMaNG8fo0aOJi4vDz8+Pzp07s27dOho0aFBkfY6Ojnz11Vc8++yzmM1m/t//+3+0bNmS7du34+LicudvXqyKOg5atGjB8uXLWbp0KX/4wx8YM2YMsbGxDBw4sMB2x44do1GjRtSsWfgXp9evX2fRokXWk9hv9ezZk4ULF+Lg4MCPP/7ISy+9hNlspnfv3nTp0oW3334bgNzcXF5//XXrcWM2mwuchH8tODiY2bNnEx8fT0BAABs2bCAqKgpXV1eb9klpx2u9evVYuXIla9asISAggNmzZzNx4kSb2hC5G3Yt2kWTdk0KTawDBHQL4Lt93+Hg5EBibCJT2k5h5jMzMTmaGJBw60tO1yquJM9IZlrHacR3jOen737iz8v+jIND4aHI1cOVVz9+lVMZp5jabipJE5LoNOLWl5/5v2QvC7+Ofry65FUObj5IfGg805+azpb3t1C97q1fIzg4OPDKR69w4+oN4kPjWfrGUp5+6+nb2T0ivxuNrYVpbBV7pKwWpqyKPVJWC1NWxR4pq4Upq/bBZPntTdCLsHfvXlq2bElaWhotWrT4PfpldxYvXky/fv3u630ghb366qscOHCA7du3V3RX5P/kZ3XY5mH4BPhUdHekHKX+K5Ul/7uEuGNxVKpcqfQNxK6l/iuVRa8t0rgqhWhstS/6DCzFUVbti7IqxVFW7Y/yKkVRVu1PWefD9TQ3ERu88847hIWF4ebmxvr161mwYEGx30SKyJ3ZvXQ3NXxr4Fnbk1Nfn+KTsZ8Q+FygJtZF7jEaW0WMQVkVMQZlVcQYlNV7hybXRWywe/dupkyZwqVLl2jYsCEzZswgIiKiorslck+6dPYS6+PWc+nsJTy8PAjsHkjXv3Wt6G6JSDnT2CpiDMqqiDEoqyLGoKzeOzS5LmKD5cuXV3QXRO4bHQd3pOPgjhXdDRG5yzS2ihiDsipiDMqqiDEoq/eOu/ZAUxERERERERERERGRe5Um10VEREREREREREREbKTJdRERERERERERERERG2lyXURERERERERERETERjY90DQpKYmsrKy71Re7lpKSAtzf+0DECPKzmvlZJme+OVPBvRGR4hzZdQTQuCpi7/QZWMQYlFUR41BeRYzh6NGjZSpnslgsltIK7dy5k7Zt25Kbm3vHHTMyk4MJS16pu0tEKpiDgwN5eXkV3Q0RKYWyKmIMyqqIMSirIsahvIoYg6OjI9u3b6dNmzbFlinTL9ddXFzIzc1l0aJF+Pn5lVsHjSQpKYnRo0fTb04/vMxeFd0dESlG5meZrJ+w/r4+X4kYQf64qqyK2DdlVcQYlFUR41BeRYwhKyuLfv364eLiUmI5m24L4+fnR4sWLe6oY0aVf6mOl9kLnwCfCu6NiBQn/1Yw9/P5SsQI8sdVZVXEvimrIsagrIoYh/Iqcm/RA01FRERERERERERERGykyXURERERERERERERERtpcl3ueUOqD+GrdV9VdDcA++qLyL1ky5YtmEwmzp8/X9Fdsau+iNgbe8qHPfVFxN7YUz7sqS8i9sae8mFPfRGxN/aUD3vqy72iXCbXBw4ciMlkYtKkSQWWr1mzBpPJVB5N3BVZWVk8++yzeHp64ubmRuvWrTlx4kRFd+u+dnT3UaJqRPFBnw/Krc7YrFj8Q/3LrT6Re0F5nrd9fX2ZPn16mcvHxcXh6OjI1KlTbWqnJH/84x/Jzs7G09Oz3OoUsQfKqogxKKsixqCsihiDsipGUm6/XHd1dWXy5MmcO3euvKoE4Pr16+VaX77Dhw/zxBNP0LRpU7Zs2cJXX33F6NGjcXV1vSvtSdnsWrSLtq+25fDOw1zIvlAudXp4eeDkYtOze0XuC3frvF2aefPmMWLECObNm1dudVaqVAlvb2+7/kJX5HYpqyLGoKyKGIOyKmIMyqoYRblNroeGhuLt7U1cXFyxZcaOHUtgYGCBZdOnT8fX19f6euDAgTz33HNMmDCBOnXq0KRJEwBmzZpF48aNcXV1xcvLi169elm3ycvLIy4ujgYNGlC5cmUCAgJYsWJFif196623ePrpp5kyZQqPPvoojRo14tlnn6VWrVq2v3kpF9cuX2Pfmn0EvxKMf5g/u5fstq7LOZ/DR3/+iLcav0V0nWjGtxrPrsW7ALh5/SYrRqxgjN8YhtceztuPvM3Gv2+0bvvbW7Ec3XWUKSFTGF57ONOenMZX675iSPUhnMw4CcChzw8xpPoQvtn6DdOenEb0Q9FM7zSdM4fOFOhvRlIG77R/h+G1hzPu0XFsmLyB3Ju51vXfH/6eGV1nMLz2cOIej+Pg5oN3Zb+J3K6ynLcBVq5cSbNmzXBxccHX15dp06ZZ17Vv357jx48TFRWFyWQq9cPC1q1buXLlCrGxsVy8eJEdO3YUWP/ll1/SoUMH3N3d8fDwoGXLlqSmpgJw/PhxunXrRrVq1XBzc6NZs2YkJSUBRV/aNnfuXHx8fHjggQfo0aMH8fHxVK1a1bo+f0z66KOP8PX1xdPTk759+3Lp0iVrmbKML0lJSZjNZipXrkyHDh04duxYiftAxFbKqrIqxqCsKqtiDMqqsirGoKwqq0ZRbpPrjo6OTJw4kZkzZ3Ly5Mk7qmvTpk0cPHiQjRs3kpiYSGpqKoMHDyY2NpaDBw+yYcMGQkJCrOXj4uJYuHAhs2fPZv/+/URFRdGvXz+2bt1aZP15eXmsW7cOs9lMp06dqFWrFo899hhr1qy5o37Lndm3Zh+1GtfCq7EXrXq3YtfiXVgsFgCSJiZx+uBpXlv+GiO/GMkL77yA24NuAGybs42v13/NgHkD+Ovuv9L/g/5Ur1e9yDauXrzK3D/NpY5/HYZvHk6XUV345O1Piiy7bvw6uo/rzrBNw3BwcmDpoKXWdYd3HmbxXxYT8loII3eOpHd8b3Yv2c3Gabcm9fPy8pj30jycKjkRtTGK3vG9i21HpKKU5bydlpZG79696du3LxkZGYwdO5bRo0czf/58AFatWkXdunWJjY0lOzub7OzsEttMSEggPDwcZ2dnwsPDSUhIKLD+xRdfpG7duuzZs4e0tDRGjhyJs7MzAK+//jrXrl1j27ZtZGRkMHnyZKpUqVJkOykpKURGRvLGG2+Qnp5OWFgYEyZMKFTu8OHDrFmzhsTERBITE9m6dWuBSw9LG1++++47nn/+ebp160Z6ejoRERGMHDmyxH0gYitlVVkVY1BWlVUxBmVVWRVjUFaVVaMo13tl9OjRg8DAQGJiYgodgLZwc3Pjn//8J5UqVQJuhcHNzY1nnnkGd3d36tevz6OPPgrAtWvXmDhxIp999hlt2rQBoGHDhnz++efMmTOHdu3aFar/7NmzXL58mUmTJjF+/HgmT57Mhg0beP7559m8eXOR28jdt2vRLlq90AqAph2bcuXiFb5N+ZbGTzTm3MlzPNT8Ieo9Wg+AB+s9aN3u3Klz1GxUk4aPN8RkMlHdp+iJdYC0lWmYTCb6TO+Ds6sz3k29uZB9gWVDlhUq2/VvXXk4+GEAQoeE8kGfD7hx9QbOrs58OuVTOg7pSFB4EAA1fGvw9F+fZu3YtXR+szPfbPmGM4fOELkiEs/antb65vSeUz47S6SclHbejo+Pp2PHjowePRoAs9lMZmYmU6dOZeDAgVSvXh1HR0fc3d3x9vYusa2LFy+yYsUKdu7cCUC/fv1o27Yt//jHP6wfOk6cOEF0dDRNmzYFoHHjxtbtT5w4Qc+ePWnevDlw61xfnJkzZ9KlSxeGDx9u7feOHTtITEwsUC4vL4/58+fj7u4OQP/+/dm0aRMTJkwo0/jy/vvv06hRI+uvI5o0aWL9ICVSnpRVZVWMQVlVVsUYlFVlVYxBWVVWjaDcfrmeb/LkySxYsICsrKzbrqN58+bWiXWAsLAw6tevT8OGDenfvz+LFy8mJycHgG+//ZacnBzCwsKoUqWK9W/hwoUcPny4yPrz8vIA6N69O1FRUQQGBjJy5EieeeYZZs+efdv9ltt35tAZju89ToueLQBwdHLk0R6PsmvRrVu/BL8czL7V+5gSMoW1MWs5uuuoddug8CBOZZxiYtBEVo5cyYHkA8W2c/bQWeo0q4Ozq7N1Wf2W9YssW6dZHeu/Pbw8ALj8w2UATn19iv9M/Q8jfEZY/5YNWcbF0xe5nnOdM9+codpD1awT6wC+Qb427hWR30dJ5+2srCyCg4MLLAsODubQoUPk5uYWKl+SJUuW0KhRIwICAgAIDAykfv36LFv2y5dbQ4cOJSIigtDQUCZNmlTgPD548GDGjx9PcHAwMTExfPXVV4XayHfw4EGCgoIKLPvta7j1cJv8DyoAtWvX5uzZs0DZxpesrCwee+yxAnXmf7ARKW/KqrIqxqCsKqtiDMqqsirGoKwqq/au3CfXQ0JC6NSpE6NGjSrcmIOD9TYf+W7cuFGonJubW4HX7u7u7N27lyVLllC7dm3GjBlDQEAA58+f5/LlW5Od69atIz093fqXmZlZ7H3Xa9SogZOTE/7+/gWW+/n5ceLECZver5SPXYt2kXczjxj/GIbWHMrQmkNJmZfCl598yZWLV/AP8yfmyxja/6U9F05fYFaPWfx79L8B8AnwYcy+MXQZ1YUbV24w/5X5fDjgwzvuk4Pzr+Lxf7flyv9i5vrP1+k8sjPRW6OtfyM+H8FbqW/h5KqHp4qxlHTeLk8JCQns378fJycn619mZmaBB8WMHTuW/fv307VrV5KTk/H392f16tUAREREcOTIEfr3709GRgatWrVi5syZd9Sn/Ev48plMJmvOb2d8EbmblNVfKKtiz5TVXyirYs+U1V8oq2LPlNVfKKv26a7MAk6aNInAwEDrw0jz1axZk9OnT2OxWKwPEUhPTy9TnU5OToSGhhIaGkpMTAxVq1YlOTmZsLAwXFxcOHHiRJlv51KpUiVat27NwYMFHzD5zTffUL9+0b9ilrsn92Yue5btofu47jTt0LTAuoT+CexduZfgl4OpUqMKQeFBBIUHkdImhbVj1tJ9XHcAXD1cafF8C1o834KAZwOY88Icfj73M27VCn5RU6txLVL/lcrNazdxcrl1+J/Ya/sXKnUfqcvZQ2ep2bBmkeu9zF6cO3WOC6cv4Ol969frx/Ycs7kdkd9LcedtPz8/UlJSCixLSUnBbDbj6OgI3DqnlvargIyMDFJTU9myZQvVq/9y66affvqJ9u3bc+DAAeuldWazGbPZTFRUFOHh4Xz44Yf06NEDAB8fHyIjI4mMjGTUqFHMnTuXQYMGFWqvSZMm7Nmzp8Cy374ujb+/f6nji5+fH2vXri2w7IsvvrCpHRFbKKuFKatij5TVwpRVsUfKamHKqtgjZbUwZdV+3JXJ9ebNm/Piiy8yY8aMAsvbt2/P999/z5QpU+jVqxcbNmxg/fr1eHh4lFhfYmIiR44cISQkhGrVqpGUlEReXh5NmjTB3d2d4cOHExUVRV5eHk888QQXLlwgJSUFDw8PBgwYUGSd0dHR9OnTh5CQEDp06MCGDRv45JNP2LJlS3ntBimj/Z/uJ+d8Do/3f5zKHpULrHuk2yN8segLLmRfwCfQB++m3ty8dpPMTzPxMnsBsPm9zXh4e1C3eV1MDia+/PeXeHh5UNmzcqG2WvZsybrx61gWtYyOb3Tk3MlzJL+bDFDqU6N/7anop5gbPpdqdasR8GwAJgcT//36v2QfyKbrW10xtzdTq1EtPv6fj3k29lmuXrpK0oSkO9hLIndXceftYcOG0bp1a8aNG0efPn3YuXMn7777LrNmzbKW8fX1Zdu2bfTt2xcXFxdq1KhRqP6EhASCgoIKPIw6X+vWrUlISCA2Npbo6Gh69epFgwYNOHnyJHv27KFnz54ADBkyhC5dumA2mzl37hybN2/Gz8+vyPczaNAgQkJCiI+Pp1u3biQnJ7N+/Xqbcl6W8SUyMpJp06YRHR1NREQEaWlp1ofniNwNymphyqrYI2W1MGVV7JGyWpiyKvZIWS1MWbUf5X5bmHyxsbHWSxXy+fn5MWvWLN577z0CAgLYvXu39eb9JalatSqrVq3iySefxM/Pj9mzZ7NkyRKaNWsGwLhx4xg9ejRxcXH4+fnRuXNn1q1bR4MGDYqts0ePHsyePZspU6bQvHlz/vnPf7Jy5UqeeOKJO3vjYrNdi3bRpF2TQhPrAAHdAvhu33c4ODmQGJvIlLZTmPnMTEyOJgYk3PrixLWKK8kzkpnWcRrxHeP56buf+POyP+PgUPjwdvVw5dWPX+VUximmtptK0oQkOo3oBGD9JXtZ+HX049Ulr3Jw80HiQ+OZ/tR0try/hep1b33D6eDgwCsfvcKNqzeID41n6RtLefqtp29n94j8boo6b7do0YLly5ezdOlS/vCHPzBmzBhiY2MZOHBgge2OHTtGo0aNqFmz8NUc169fZ9GiRdYPHb/Vs2dPFi5ciIODAz/++CMvvfQSZrOZ3r1706VLF95++20AcnNzef31163nebPZXOBD068FBwcze/Zs4uPjCQgIYMOGDURFReHq6mrTPiltfKlXrx4rV65kzZo1BAQEMHv2bCZOnGhTGyK2UlYLU1bFHimrhSmrYo+U1cKUVbFHymphyqp9MFl+exP0Iuzdu5eWLVuSlpZGixYtfo9+2Z3FixfTr18/hm0ehk+AT0V3R8pR6r9SWfK/S4g7FkelypVK30DsWuq/Uln02qL7+nwlRXv11Vc5cOAA27dvr+iuCL+Mq8qq/Jayal+UVSmOsmpflFUpjrJqf5RXKYqyan/KOh+uJy/KfWf30t3U8K2BZ21PTn19ik/GfkLgc4GaWBe5x7zzzjuEhYXh5ubG+vXrWbBgQbG/HBCRiqOsihiDsipiDMqqiDEoq/cOTa7LfefS2Uusj1vPpbOX8PDyILB7IF3/1rWiuyUi5Wz37t1MmTKFS5cu0bBhQ2bMmEFERERFd0tEfkNZFTEGZVXEGJRVEWNQVu8dmlyX+07HwR3pOLhjRXdDRO6y5cuXV3QXRKQMlFURY1BWRYxBWRUxBmX13nHXHmgqIiIiIiIiIiIiInKv0uS6iIiIiIiIiIiIiIiNNLkuIiIiIiIiIiIiImIjTa6LiIiIiIiIiIiIiNjIpgeaZmVl3a1+2L2jR48CcOabMxXcExEpyY8nfgTu7/OViBHkj6vKqoh9U1ZFjEFZFTEO5VXEGMqaUZPFYrGUVujEiRP4+fmRk5Nzxx0zMpODCUteqbtLRCqYg6MDebl5Fd0NESmFo6Mjubm5Fd0NESmFsipiDMqqiHEoryLG8MADD5CVlUW9evWKLVOmyXW4NcH+ww8/lFvnjOjatWu4uLhUdDdEpBTKqogxKKsixqCsihiDsipiHMqriDHUqFGjxIl1sGFyXUREREREREREREREbtEDTUVEREREREREREREbKTJdRERERERERERERERG2lyXURERERERERERETERppcFxERERERERERERGxkSbXRURERERERERERERspMl1EREREREREREREREbaXJdRERERERERERERMRGmlwXEREREREREREREbGRJtdFRERERERERERERGykyXURERERERERERERERtpcl1ERERERERERERExEaaXBcRERERERERERERsZEm10VEREREREREREREbKTJdRERERERERERERERG2lyXURERERERERERETERppcFxERERERERERERGx0f8HvHEZ9FKINW8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query94: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) < (shifts[0,2,1]), (shifts[0,1,0]) <= (shifts[0,2,1]), (shifts[0,1,1]) <= (shifts[0,2,1]), (shifts[0,0,1]) <= (shifts[0,2,1]), (shifts[0,1,1]) == (shifts[0,2,1])]\n",
      "Query95: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) > (shifts[0,2,1])]\n",
      "Query96: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) < (shifts[0,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[0,2,0]) != (shifts[0,2,1])]\n",
      "Size of CL:  14\n",
      "Size of B:  311\n",
      "Number of Queries:  97\n",
      "Query97: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query98: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query99: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query100: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,1,0]) != (shifts[0,2,1])]\n",
      "Size of CL:  15\n",
      "Size of B:  310\n",
      "Number of Queries:  101\n",
      "Query101: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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+woQJpjZt2piqVatmcnBwMDVs2NA0dOhQ06+//mouU79+fdN//vOffK/z9vY2RUZGmkwmk+nw4cMmwLRr1y7zehcXF9PHH39sfn7p0iVTr169TFWqVDEB+db91ZIlS0xGo9FUsWJFU7NmzUyrV68u0XsXkyk+Pl5ZLQFldZd5/a1mNa+uvz7atWtXovd/v1NWS0553WVef6t5rV+/fqF5zWtLiqasllx5Z3Xjxo2F7ucDBw4s8jUffvihqUOHDqaaNWuaKlasaKpXr55p0KBBpiNHjpjLtGvXzvT666/ne12PHj3y1QuYVqxYYX7+5yznCQ0NNVWvXr3Y7G3cuNHk4+Njqlixoqlhw4Y3/cwsNyirJaesrjA/v52sFvYe6tevX+z7F+W1pJTVFebnt5rVdu3alfo9yA0lnQs2mEwm061Myt9vdu7cScuWLUlNTcXX17e8u3NfmT9/PmFhYfz8889UrFixvLsjFm7BggX0799fWS0HyqqUhrJavpRXKSlltXwpq1JSymr5UlalNJTX8qOsSmmUdC5Yl4URi5WdnU1mZiYTJ07k1Vdf1YFPxEIpqyLWQ3kVsQ7Kqoh1UFZFrIOyKneSbmgqFmvy5Mk0bdoUNzc3Ro0aVd7dEZEiKKsi1kN5FbEOyqqIdVBWRayDsip3kibXxWKNHTuWq1evsn79et1sTMSCKasi1kN5FbEOyqqIdVBWRayDsip3kibXRURERERERERERERKSZPrIiIiIiIiIiIiIiKlpMl1EREREREREREREZFSsitpwWPHjvHrr7/eyb5YtIyMDAASExPN/xYRy5OUlAQoqyKWTlkVsQ7Kqoh1UFZFrIfyKmIdDh8+XKJyBpPJZCqu0LFjx/D09CQ7O/u2O2bNDDYGTLnFbi4RKWc2Njbk5uaWdzdEpBjKqoh10GdgEeugrIpYD+VVxDoYbAwkfZNEmzZtiixTol+u//rrr2RnZxMfH4+np2eZddCaJCYmMnr0aPrP6o+r0bW8uyMiRUj/Kp0149fc18crEWuQN64qqyKWTZ+BRaxD3mdgZVXE8imvItbh1A+niH81Hnt7+5uWK/FlYQA8PT3x9fW9rY5Zq7xTdVyNrrh7u5dzb0SkKKd+OAXc38crEWuQN64qqyKWTZ+BRaxD3mdgZVXE8imvIvcW3dBURERERERERERERKSUNLkuIiIiIiIiIiIiIlJKmlwXERERERERERERESklTa7LPW9YtWF8t/q78u4GYFl9EbmXbNq0CYPBwJkzZ8q7KxbVFxFLY0n5sKS+iNwJlvS505L6ImKJLCkjltQXEUtjSfmwpL7c78pkcn3QoEEYDAYmTpyYb/nKlSsxGAxl0USZW758OU899RTVq1fHYDCwe/fu8u6SAIe3HyasRhgf9v2wzOqMyojCK9CrzOoTuReU5XHbw8ODqVOnlrh8dHQ0tra2TJkypVTt3Mzjjz9OZmYmLi4uZVaniCVQVkXuD/oMLGI9lFcR66Csyt1SZr9cd3BwYNKkSWRlZZVVlQBcuXKlTOvL88cff/DEE08wadKkO1K/3Jrk+GTaDm7LwW0HOZt5tkzqdHZ1xs7erkzqErmX3KnjdnHmzJnDiBEjmDNnTpnVWbFiRdzc3Cz2C12R26Gsitz79BlYxHooryLWQVmVu6XMJtcDAwNxc3MjOjq6yDJjx47Fx8cn37KpU6fi4eFhfj5o0CCeffZZxo8fT506dWjSpAkAM2bMoHHjxjg4OODq6krv3r3Nr8nNzSU6OpoGDRpQqVIlvL29Wbp06U37O2DAAMaMGUNgYGDp36zcEZcvXGbXyl34v+yPV5AX2xduN6/LPpPN/Ffm82bjN4moE8Hbrd4meUEyANeuXGPpiKWM8RxDeO1w3nrkLdb9Z535tX89VeZw8mEmB0wmvHY4MU/G8N3q7xhWbRjH044DcOCbAwyrNowfNv9AzJMxRDwYwdROUzl14FS+/qYlpvFO+3cIrx3OuBbjWDtpLTnXcszrfzn4C9O6TiO8djjRj0Wzf+P+O7LdRG5VSY7bAMuWLaNZs2bY29vj4eFBTEyMeV379u05evQoYWFhGAyGYifMNm/ezMWLF4mKiuLcuXNs3bo13/o9e/bQoUMHnJyccHZ2pmXLlqSkpABw9OhRunXrRtWqVXF0dKRZs2YkJiYChV/eYfbs2bi7u/PAAw/Qs2dPYmNjqVKlinl93pg0f/58PDw8cHFxoV+/fpw/f95cpiTjS2JiIkajkUqVKtGhQweOHDly020gUlrKqrIq9zZ9BhaxHsqriHVQVuVuKrOvW2xtbZkwYQJ/+9vfGDp0KHXr1r3lutavX4+zszPr1l3fgVNSUhg6dCjz58/n8ccf5/fff+frr782l4+OjiY+Pp6ZM2fSuHFjtmzZQv/+/alZsybt2rW77fcmd8eulbuo1bgWro1dadWnFSv+tYLAsEAMBgOJExI5uf8kry55Fcfqjvx66FeuXroKwJZZW/h+zfcMnDOQqnWrcubEGbJOFP7rvkvnLjH7b7PxCvLixQ9f5PeffmfFmysKLbv67dX0GNeDytUrs2T4EhYNWcTra18H4OC2gyz4+wKem/gcDds05LfDv7E4bDEAnf/ZmdzcXOa8OAenWk6ErQvj0rlLrPhX4e2IlJeSHLdTU1Pp06cPY8eOpW/fvmzdupV//OMfVK9enUGDBrF8+XK8vb155ZVXGDx4cLFtxsXFERwcTIUKFQgODiYuLo7HH3/cvP6FF16gRYsWfPDBB9ja2rJ7924qVKgAwGuvvcaVK1fYsmULjo6OpKenU7ly5ULbSUpKIjQ0lEmTJtG9e3e++uorRo8eXaDcwYMHWblyJQkJCWRlZdGnTx8mTpzI+PHjgeLHl59++onnnnuO1157jVdeeYWUlBSGDx9eou0vUlLKqrIq9zZ9BhaxHsqriHVQVuVuKtNzGXr27ImPjw+RkZHExcXdcj2Ojo589NFHVKxYEbh+fXRHR0eeeeYZnJycqF+/Pi1atADg8uXLTJgwga+++oo2bdoA0LBhQ7755htmzZqlyXUrkhyfTKvnWwHQtGNTLp67yI9JP9L4icZkHc/iweYPUq9FPQCq16tufl3WiSxqNqpJw8caYjAYqOZercg2UpelYjAY6Du1LxUcKuDW1I2zmWdZPGxxgbJd/92Vh/wfAiBwWCAf9v2Qq5euUsGhAl9M/oKOwzriF+wHQA2PGjz9r6dZNXYVnf/ZmR82/cCpA6cIXRqKS20Xc32z+swqm40lUkaKO27HxsbSsWNH82SX0WgkPT2dKVOmMGjQIKpVq4atrS1OTk64ubndtK1z586xdOlStm3bBkD//v1p27Yt7777rnni7dixY0RERNC0aVMAGjdubH79sWPH6NWrF82bNweuH+uLMn36dLp06UJ4eLi531u3biUhISFfudzcXObOnYuTkxNw/aym9evXM378+BKNLx988AGNGjUy/0K4SZMmpKWl6ZJjUuaUVWVV7l36DCxiPZRXEeugrMrdVOYXCpo0aRJPPvmk+Y+kW9G8eXPzxDpAUFAQ9evXp2HDhnTu3JnOnTvTs2dPHnjgAX788Ueys7MJCgrKV8eVK1fME/Bi+U4dOMXRnUd5ef7LANja2dKiZwuS45Np/ERj/F/y5+NBH3P8u+M07dCU5k83p8GjDQDwC/bjg+c+YILfBJp2bEqzp5rR9MmmhbZz+sBp6jSrQwWHCuZl9VvWL7RsnWZ1zP92dnUG4MKvF6hatyonvj/B4eTDrIu9cXqQKcfE1UtXuZJ9hVM/nKLqg1XNBz4ADz+PW9s4InfYzY7bGRkZ9OjRI98yf39/pk6dSk5ODra2tiVuZ+HChTRq1Ahvb28AfHx8qF+/PosXL+b//u//AHjjjTcICQlh/vz5BAYG8vzzz9OoUSMAhg4dyt///ne+/PJLAgMD6dWrF4888kihbe3fv5+ePXvmW+bn51dgws7Dw8M8WQdQu3ZtTp8+DVCi8SUjI4NHH3003/q8yT2RsqasKqty79FnYBHrobyKWAdlVe62Mp9cDwgIoFOnTowaNYpBgwblW2djY4PJZMq37OrVqwXqcHR0zPfcycmJnTt3smnTJr788kvGjBnD2LFj2bFjBxcuXABg9erVPPjgg/leZ29vXwbvSO6G5Phkcq/lEukVaV5mMpmws7ej1+ReeAV5EbknkvR16ezftJ8ZPWfwxP89QY9xPXD3dmfMrjGkf5XOD5t/YO7Lc2nSrgkvffLSbfXJpsKfbknwv0vT5ubmAnDljyt0HtmZR54pOFlg56CbW4h1udlxuyzFxcWxd+9e7OxuZCQ3N5c5c+aYJ+zGjh3L3/72N1avXs2aNWuIjIxk0aJF9OzZk5CQEDp16sTq1av58ssviY6OJiYmhiFDhtxyn/IuY5HHYDCYc67xRSyNsnqDsir3Cn0GFrEeyquIdVBW5W67I/9LEydOxMfHx3wz0jw1a9bk5MmTmEwm8420du/eXaI67ezsCAwMJDAwkMjISKpUqcKGDRsICgrC3t6eY8eO6RIwVirnWg47Fu+gx7geNO2Q/xvBuAFx7Fy2E/+X/KlcozJ+wX74BfuR1CaJVWNW0WPc9V/pOTg74PucL77P+eLd3ZtZz8/ij6w/cKya/4uaWo1rkfJZCtcuXzPf4fnYzmOl7nPdR+py+sBpajasWeh6V6MrWSeyOHvyLC5u179dPLLjSKnbEblbijpue3p6kpSUlG9ZUlISRqPR/EvYihUrkpOTw82kpaWRkpLCpk2bqFbtxql1v//+O+3bt2ffvn3my0sYjUaMRiNhYWEEBwfz8ccfm3/Z6u7uTmhoKKGhoYwaNYrZs2cXOmHXpEkTduzYkW/ZX58Xx8vLq9jxxdPTk1WrVuVb9u2335aqHZHSUFYLUlbFWukzsIj1UF5FrIOyKuXhjkyuN2/enBdeeIFp06blW96+fXt++eUXJk+eTO/evVm7di1r1qzB2dn5pvUlJCRw6NAhAgICqFq1KomJieTm5tKkSROcnJwIDw8nLCyM3NxcnnjiCc6ePUtSUhLOzs4MHDiw0Dp///13jh07xs8//wxcPy0ZwM3NrdhrkUrZ2vvFXrLPZPPYgMeo5Fwp37pHuj3Ct/HfcjbzLO4+7rg1dePa5Wukf5GOq9EVgI3vb8TZzZm6zetisDGw5797cHZ1ppJLpQJttezVktVvr2Zx2GI6vt6RrONZbHhvA4D5C5+SeCriKWYHz6Zq3ap4d/fGYGPg5+9/JnNfJl3f7IqxvZFajWrx6T8+pXtUdy6dv0Ti+MTb2Eoid1ZRx+3hw4fTunVrxo0bR9++fdm2bRvvvfceM2bMMJfx8PBgy5Yt9OvXD3t7e2rUqFGg/ri4OPz8/AgICCiwrnXr1sTFxREVFUVERAS9e/emQYMGHD9+nB07dtCrVy8Ahg0bRpcuXTAajWRlZbFx40Y8PT0LfT9DhgwhICCA2NhYunXrxoYNG1izZk2pcl6S8SU0NJSYmBgiIiIICQkhNTWVuXPnlrgNkdJSVgtSVsVa6TOwiPVQXkWsg7Iq5cGm+CK3JioqynyKQx5PT09mzJjB+++/j7e3N9u3by/RtdmrVKnC8uXLefLJJ/H09GTmzJksXLiQZs2aATBu3DhGjx5NdHQ0np6edO7cmdWrV9OgQYMi61y1ahUtWrSga9euAPTr148WLVowc+bM23jXciuS45Np0q5JgQMfgHc3b37a9RM2djYkRCUwue1kpj8zHYOtgYFx1784cajswIZpG4jpGENsx1h+/+l3Xln8CjY2BXdvB2cHBn86mBNpJ5jSbgqJ4xPpNKITgPmbxpLw7OjJ4IWD2b9xP7GBsUx9aiqbPthEtbrXf+VnY2PDy/Nf5uqlq8QGxrLo9UU8/ebTt7J5RO6awo7bvr6+LFmyhEWLFvHwww8zZswYoqKi8l2SIioqiiNHjtCoUSNq1iz4bfuVK1eIj483T7z9Va9evZg3bx42Njb89ttvvPjiixiNRvr06UOXLl146623AMjJyeG1114zH+eNRmO+icM/8/f3Z+bMmcTGxuLt7c3atWsJCwvDwcGhVNukuPGlXr16LFu2jJUrV+Lt7c3MmTOZMGFCqdoQKS1ltSBlVayRPgOLWA/lVcQ6KKtSHgymv14EvRA7d+6kZcuWpKam4uvrezf6ZXEWLFhA//79Gb5xOO7e7uXdHSlDKZ+lsPD/LST6SDQVK1Us/gVi0VI+SyH+1fj7+nglhRs8eDD79u3j66+/Lu+uCDfGVWVV/kpZtSz6DHzv0mfge0veZ2Bl9d6kvN5blNd7l7J6b/lpz0/EdIgp9m9WXRlf7jvbF22nhkcNXGq7cOL7E3w+9nN8nvXRgU/kHvPOO+8QFBSEo6Mja9as4ZNPPiny17MiUn6UVZG7Q5+BRayH8ipiHZRVAU2uy33o/OnzrIlew/nT53F2dcanhw9d/921vLslImVs+/btTJ48mfPnz9OwYUOmTZtGSEhIeXdLRP5CWRW5O/QZWMR6KK8i1kFZFdDkutyHOg7tSMehHcu7GyJyhy1ZsqS8uyAiJaCsitwd+gwsYj2UVxHroKwK3MEbmoqIiIiIiIiIiIiI3Ks0uS4iIiIiIiIiIiIiUkqaXBcRERERERERERERKSVNrouIiIiIiIiIiIiIlFKpbmiamJhIRkbGneqLRUtKSgIg/at0Tv1wqpx7IyJFOZR8CLi/j1ci1iBvXFVWRSybPgOLWIe8z8DKqojlU15FrMNvx34rUTmDyWQyFVdo27ZttG3blpycnNvumDUz2Bgw5Ra7uUSknNnY2JCbm1ve3RCRYiirItZBWRWxDsqqiPXQ/JKIdTDYGEj6Jok2bdoUWaZEv1y3t7cnJyeH+Ph4PD09y6yD1iQxMZHRo0fTf1Z/XI2u5d0dESlC+lfprBm/5r4+XolYg7xxVVkVsWzKqoh1UFZFrIfml0Ssw6kfThH/ajz29vY3LVeqy8J4enri6+t7Wx2zVnmnrLsaXXH3di/n3ohIUfJOq7ufj1ci1iBvXFVWRSybsipiHZRVEeuh+SWRe4tuaCoiIiIiIiIiIiIiUkqaXBcRERERERERERERKSVNrouIiIiIiIiIiIiIlJIm1+WeN6zaML5b/V15dwOwrL6I3Es2bdqEwWDgzJkz5d0Vi+qLiKWxpHxYUl9ELI0l5cOS+iJiaSwpH5bUF5E7xZLmdCypL/e7MplcHzRoEAaDgYkTJ+ZbvnLlSgwGQ1k0UaauXr3KP//5T5o3b46joyN16tThxRdf5Oeffy7vrt33Dm8/TFiNMD7s+2GZ1RmVEYVXoFeZ1SdyLyjL47aHhwdTp04tcfno6GhsbW2ZMmVKqdq5mccff5zMzExcXFzKrE4RS6CsilgHZVXEOiirIvcPzS/J3VJmv1x3cHBg0qRJZGVllVWVAFy5cqVM6wPIzs5m586djB49mp07d7J8+XL2799P9+7dy7wtKZ3k+GTaDm7LwW0HOZt5tkzqdHZ1xs7erkzqErmX3KnjdnHmzJnDiBEjmDNnTpnVWbFiRdzc3CzyC12R26WsilgHZVXEOiirIvcHzS/J3VJmk+uBgYG4ubkRHR1dZJmxY8fi4+OTb9nUqVPx8PAwPx80aBDPPvss48ePp06dOjRp0gSAGTNm0LhxYxwcHHB1daV3797m1+Tm5hIdHU2DBg2oVKkS3t7eLF26tMh+uLi4sG7dOvr06UOTJk147LHHeO+990hNTeXYsWO3tgHktl2+cJldK3fh/7I/XkFebF+43bwu+0w281+Zz5uN3ySiTgRvt3qb5AXJAFy7co2lI5YyxnMM4bXDeeuRt1j3n3Xm1/71VJnDyYeZHDCZ8NrhxDwZw3erv2NYtWEcTzsOwIFvDjCs2jB+2PwDMU/GEPFgBFM7TeXUgVP5+puWmMY77d8hvHY441qMY+2kteRcyzGv/+XgL0zrOo3w2uFEPxbN/o3778h2E7lVJTluAyxbtoxmzZphb2+Ph4cHMTEx5nXt27fn6NGjhIWFYTAYiv1gv3nzZi5evEhUVBTnzp1j69at+dbv2bOHDh064OTkhLOzMy1btiQlJQWAo0eP0q1bN6pWrYqjoyPNmjUjMTERKPw01NmzZ+Pu7s4DDzxAz549iY2NpUqVKub1eWPS/Pnz8fDwwMXFhX79+nH+/HlzmZKML4mJiRiNRipVqkSHDh04cuTITbeBSGkpq8qqWAdlVVkV66CsKqty79P8ktxNZfZ1i62tLRMmTOBvf/sbQ4cOpW7durdc1/r163F2dmbduus7cEpKCkOHDmX+/Pk8/vjj/P7773z99dfm8tHR0cTHxzNz5kwaN27Mli1b6N+/PzVr1qRdu3YlavPs2bMYDIZ8g47cXbtW7qJW41q4NnalVZ9WrPjXCgLDAjEYDCROSOTk/pO8uuRVHKs78uuhX7l66SoAW2Zt4fs13zNwzkCq1q3KmRNnyDpR+K8QLp27xOy/zcYryIsXP3yR33/6nRVvrii07Oq3V9NjXA8qV6/MkuFLWDRkEa+vfR2Ag9sOsuDvC3hu4nM0bNOQ3w7/xuKwxQB0/mdncnNzmfPiHJxqORG2LoxL5y6x4l+FtyNSXkpy3E5NTaVPnz6MHTuWvn37snXrVv7xj39QvXp1Bg0axPLly/H29uaVV15h8ODBxbYZFxdHcHAwFSpUIDg4mLi4OB5//HHz+hdeeIEWLVrwwQcfYGtry+7du6lQoQIAr732GleuXGHLli04OjqSnp5O5cqVC20nKSmJ0NBQJk2aRPfu3fnqq68YPXp0gXIHDx5k5cqVJCQkkJWVRZ8+fZg4cSLjx48Hih9ffvrpJ5577jlee+01XnnlFVJSUhg+fHiJtr9ISSmryqpYB2VVWRXroKwqq3Lv0/yS3E1lei5Dz5498fHxITIykri4uFuux9HRkY8++oiKFSsCsHz5chwdHXnmmWdwcnKifv36tGjRAoDLly8zYcIEvvrqK9q0aQNAw4YN+eabb5g1a1aJJtcvXbrEP//5T4KDg3F2dr7lfsvtSY5PptXzrQBo2rEpF89d5MekH2n8RGOyjmfxYPMHqdeiHgDV61U3vy7rRBY1G9Wk4WMNMRgMVHOvVmQbqctSMRgM9J3alwoOFXBr6sbZzLMsHra4QNmu/+7KQ/4PARA4LJAP+37I1UtXqeBQgS8mf0HHYR3xC/YDoIZHDZ7+19OsGruKzv/szA+bfuDUgVOELg3FpbaLub5ZfWaVzcYSKSPFHbdjY2Pp2LGj+UO50WgkPT2dKVOmMGjQIKpVq4atrS1OTk64ubndtK1z586xdOlStm3bBkD//v1p27Yt7777rvkPhGPHjhEREUHTpk0BaNy4sfn1x44do1evXjRv3hy4fqwvyvTp0+nSpQvh4eHmfm/dupWEhIR85XJzc5k7dy5OTk4ADBgwgPXr1zN+/PgSjS8ffPABjRo1Mv+SqUmTJqSlpTFp0qSbbguR0lJWlVWxDsqqsirWQVlVVuXepvkluZvK7LIweSZNmsQnn3xCRkbGLdfRvHlz88Q6QFBQEPXr16dhw4YMGDCABQsWkJ2dDcCPP/5IdnY2QUFBVK5c2fyYN28eBw8eLLatq1ev0qdPH0wmEx988MEt91luz6kDpzi68yi+vXwBsLWzpUXPFiTHXz81x/8lf3at2MXkgMmsilzF4eTD5tf6BftxIu0EE/wmsGzkMvZt2FdkO6cPnKZOszpUcKhgXla/Zf1Cy9ZpVsf8b2fX61+6XPj1AgAnvj/Bl1O+ZIT7CPNj8bDFnDt5jivZVzj1wymqPljVfOAD8PDzKOVWEbk7bnbczsjIwN/fP98yf39/Dhw4QE5OToHyN7Nw4UIaNWqEt7c3AD4+PtSvX5/Fi298+HjjjTcICQkhMDCQiRMn5juODx06lLfffht/f38iIyP57rui74y+f/9+/Pz88i3763O4fiOqvD8qAGrXrs3p06eBko0vGRkZPProo/nqzPsjRKSsKavKqlgHZVVZFeugrCqrcm/S/JLcbWU+uR4QEECnTp0YNWpUwcZsbDCZTPmWXb16tUA5R0fHfM+dnJzYuXMnCxcupHbt2owZMwZvb2/OnDnDhQvXd8bVq1eze/du8yM9Pf2m113Pa7tPnz4cPXqUdevW6Vfr5Sg5Ppnca7lEekXyRs03eKPmGyTNSWLP53u4eO4iXkFeRO6JpP3f23P25Flm9JzBf0f/FwB3b3fG7BpDl1FduHrxKnNfnsvHAz++7T7ZVPhTPP53Cb3c3FwArvxxhc4jOxOxOcL8GPHNCN5MeRM7B93cQqzLzY7bZSkuLo69e/diZ2dnfqSnp+e7qdPYsWPZu3cvXbt2ZcOGDXh5ebFixfVT3kJCQjh06BADBgwgLS2NVq1aMX369NvqU97ptnkMBoM557czvojcCcrqDcqqWDJl9QZlVSyZsnqDsir3Es0vyd12R/6XJk6ciI+Pj/lmpHlq1qzJyZMnMZlM5ht+7N69u0R12tnZERgYSGBgIJGRkVSpUoUNGzYQFBSEvb09x44dK/H11eHGxPqBAwfYuHEj1atXL/5FckfkXMthx+Id9BjXg6YdmuZbFzcgjp3LduL/kj+Va1TGL9gPv2A/ktoksWrMKnqM6wGAg7MDvs/54vucL97dvZn1/Cz+yPoDx6r5v6ip1bgWKZ+lcO3yNfMdno/tLP1NbOs+UpfTB05Ts2HNQte7Gl3JOpHF2ZNncXG7/u3ikR1HSt2OyN1S1HHb09OTpKSkfMuSkpIwGo3Y2toCULFixWJ/wZOWlkZKSgqbNm2iWrUbp9b9/vvvtG/fnn379plPgzUajRiNRsLCwggODubjjz+mZ8+eALi7uxMaGkpoaCijRo1i9uzZDBkypEB7TZo0YceOHfmW/fV5cby8vIodXzw9PVm1alW+Zd9++22p2hEpDWW1IGVVLJGyWpCyKpZIWS1IWRVrpvklKQ93ZHK9efPmvPDCC0ybNi3f8vbt2/PLL78wefJkevfuzdq1a1mzZk2xvxhPSEjg0KFDBAQEULVqVRITE8nNzaVJkyY4OTkRHh5OWFgYubm5PPHEE5w9e5akpCScnZ0ZOHBggfquXr1K79692blzJwkJCeTk5HDy5EkAqlWrlu+SNHLn7f1iL9lnsnlswGNUcq6Ub90j3R7h2/hvOZt5Fncfd9yaunHt8jXSv0jH1egKwMb3N+Ls5kzd5nUx2BjY8989OLs6U8mlUoG2WvZqyeq3V7M4bDEdX+9I1vEsNry3AaDYO7z/2VMRTzE7eDZV61bFu7s3BhsDP3//M5n7Mun6ZleM7Y3UalSLT//xKd2junPp/CUSxyfexlYSubOKOm4PHz6c1q1bM27cOPr27cu2bdt47733mDFjhrmMh4cHW7ZsoV+/ftjb21OjRo0C9cfFxeHn50dAQECBda1btyYuLo6oqCgiIiLo3bs3DRo04Pjx4+zYsYNevXoBMGzYMLp06YLRaCQrK4uNGzfi6elZ6PsZMmQIAQEBxMbG0q1bNzZs2MCaNWtKlfOSjC+hoaHExMQQERFBSEgIqampzJ07t8RtiJSWslqQsiqWSFktSFkVS6SsFqSsijXT/JKUhzK/LEyeqKgo8ykOeTw9PZkxYwbvv/8+3t7ebN++3XyjjZupUqUKy5cv58knn8TT05OZM2eycOFCmjVrBsC4ceMYPXo00dHReHp60rlzZ1avXk2DBg0Kre/EiROsWrWK48eP4+PjQ+3atc2PrVu33v6bl1JJjk+mSbsmBQ58AN7dvPlp10/Y2NmQEJXA5LaTmf7MdAy2BgbGXf/ixKGyAxumbSCmYwyxHWP5/affeWXxK9jYFNy9HZwdGPzpYE6knWBKuykkjk+k04hOAOZvGkvCs6MngxcOZv/G/cQGxjL1qals+mAT1epe/zWCjY0NL89/mauXrhIbGMui1xfx9JtP38rmEblrCjtu+/r6smTJEhYtWsTDDz/MmDFjiIqKYtCgQfled+TIERo1akTNmgW/bb9y5Qrx8fHmPxD+qlevXsybNw8bGxt+++03XnzxRYxGI3369KFLly689dZbAOTk5PDaa6+Zj/NGozHfHzh/5u/vz8yZM4mNjcXb25u1a9cSFhaGg4NDqbZJceNLvXr1WLZsGStXrsTb25uZM2cyYcKEUrUhUlrKakHKqlgiZbUgZVUskbJakLIq1krzS1IeDKa/XgS9EDt37qRly5akpqbi6+t7N/plcRYsWED//v0ZvnE47t7u5d0dKUMpn6Ww8P8tJPpINBUr6awFa5fyWQrxr8bf18crKdzgwYPZt28fX3/9dXl3Rbgxriqr8lfKqmVRVqUoyqplUValKMqq5dH80r1L80v3lp/2/ERMh5hix1ZdGV/uO9sXbaeGRw1cartw4vsTfD72c3ye9dGBT+Qe88477xAUFISjoyNr1qzhk08+KfJXPiJSfpRVEeugrIpYB2VV5O7R/JKAJtflPnT+9HnWRK/h/OnzOLs649PDh67/7lre3RKRMrZ9+3YmT57M+fPnadiwIdOmTSMkJKS8uyUif6GsilgHZVXEOiirIneP5pcENLku96GOQzvScWjH8u6GiNxhS5YsKe8uiEgJKKsi1kFZFbEOyqrI3aP5JYE7eENTEREREREREREREZF7lSbXRURERERERERERERKSZPrIiIiIiIiIiIiIiKlVKprricmJpKRkXGn+mLRkpKSAEj/Kp1TP5wq596ISFEOJR8C7u/jlYg1yBtXlVURy6asilgHZVXEemh+ScQ6/HbstxKVM5hMJlNxhbZt20bbtm3Jycm57Y5ZMxsbG3Jzc8u7GyJSDGVVxDoYbAyYcov9GCIi5Uzjqoh1UFZFrIfyKmIdbGxt+Obrb2jTpk2RZUr0y3V7e3tycnKIj4/H09OzzDpoTRITExk9evR9vQ1ErIGyKmId8rLaf1Z/XI2u5d0dESlC+lfprBm/RuOqiIXTZ2AR66G8iliHjIwM+vfvj729/U3LleqyMJ6envj6+t5Wx6xV3ql19/M2ELEGyqqIdcjLqqvRFXdv93LujYgUJe90dY2rIpZNn4FFrIfyKnJv0Q1NRURERERERERERERKSZPrIiIiIiIiIiIiIiKlpMl1EREREREREREREZFS0uS6SBE2bdqEwWDgzJkz5d0Vi+qLiCWypIxYUl9E7oRh1Ybx3ervyrsbgGX1ReReYkljmSX1RcTSWFI+LKkvIpbGkvJhSX25V5TJ5PqgQYMwGAxMnDgx3/KVK1diMBjKookyN3bsWJo2bYqjoyNVq1YlMDCQ5OTk8u6WVSvL/cDDw4OpU6eWuHx0dDS2trZMmTKlVO3czOOPP05mZiYuLi5lVqeIpVBeRe4Ph7cfJqxGGB/2/bDM6ozKiMIr0KvM6hO5F2hcFbEOyqqIdVBWxZqU2S/XHRwcmDRpEllZWWVVJQBXrlwp0/ryGI1G3nvvPdLS0vjmm2/w8PDgqaee4pdffrkj7d0v7tR+UJw5c+YwYsQI5syZU2Z1VqxYETc3N4v9gkjkdimvIve+5Phk2g5uy8FtBzmbebZM6nR2dcbO3q5M6hK5l2hcFbEOyqqIdVBWxVqU2eR6YGAgbm5uREdHF1lm7Nix+Pj45Fs2depUPDw8zM8HDRrEs88+y/jx46lTpw5NmjQBYMaMGTRu3BgHBwdcXV3p3bu3+TW5ublER0fToEEDKlWqhLe3N0uXLr1pf//2t78RGBhIw4YNadasGbGxsZw7d47vvtOpxbejJPsBwLJly2jWrBn29vZ4eHgQExNjXte+fXuOHj1KWFgYBoOh2IPP5s2buXjxIlFRUZw7d46tW7fmW79nzx46dOiAk5MTzs7OtGzZkpSUFACOHj1Kt27dqFq1Ko6OjjRr1ozExESg8FNlZs+ejbu7Ow888AA9e/YkNjaWKlWqmNfn7ePz58/Hw8MDFxcX+vXrx/nz581lSrK/JiYmYjQaqVSpEh06dODIkSM33QYit0J5VV7l3nb5wmV2rdyF/8v+eAV5sX3hdvO67DPZzH9lPm82fpOIOhG83eptkhdcP4Pv2pVrLB2xlDGeYwivHc5bj7zFuv+sM7/2r5diOZx8mMkBkwmvHU7MkzF8t/o7hlUbxvG04wAc+OYAw6oN44fNPxDzZAwRD0YwtdNUTh04la+/aYlpvNP+HcJrhzOuxTjWTlpLzrUc8/pfDv7CtK7TCK8dTvRj0ezfuP+ObDeRW6VxVeOqWAdlVVkV66CsKqvWoswm121tbZkwYQLTp0/n+PHjt1XX+vXr2b9/P+vWrSMhIYGUlBSGDh1KVFQU+/fvZ+3atQQEBJjLR0dHM2/ePGbOnMnevXsJCwujf//+bN68uUTtXblyhQ8//BAXFxe8vb1vq+/3u5LsB6mpqfTp04d+/fqRlpbG2LFjGT16NHPnzgVg+fLl1K1bl6ioKDIzM8nMzLxpm3FxcQQHB1OhQgWCg4OJi4vLt/6FF16gbt267Nixg9TUVEaOHEmFChUAeO2117h8+TJbtmwhLS2NSZMmUbly5ULbSUpKIjQ0lNdff53du3cTFBTE+PHjC5Q7ePAgK1euJCEhgYSEBDZv3pzvVKbi9teffvqJ5557jm7durF7925CQkIYOXLkTbeByK1QXpVXubftWrmLWo1r4drYlVZ9WpG8IBmTyQRA4oRETu4/yatLXmXktyN5/p3ncazuCMCWWVv4fs33DJwzkH9t/xcDPhxAtXrVCm3j0rlLzP7bbOp41SF8YzhdRnXh87c+L7Ts6rdX02NcD4avH46NnQ2Lhiwyrzu47SAL/r6AgFcDGLltJH1i+7B94XbWxVyf1M/NzWXOi3Owq2hH2Low+sT2KbIdkfKicVXjqlgHZVVZFeugrCqr1qJMz+nt2bMnPj4+REZGFtgBS8PR0ZGPPvqIihUrAtfD4OjoyDPPPIOTkxP169enRYsWAFy+fJkJEybw1Vdf0aZNGwAaNmzIN998w6xZs2jXrl2R7SQkJNCvXz+ys7OpXbs269ato0aNGrfcb7muuP0gNjaWjh07Mnr0aOD6JXrS09OZMmUKgwYNolq1atja2uLk5ISbm9tN2zp37hxLly5l27ZtAPTv35+2bdvy7rvvmg9ix44dIyIigqZNmwLQuHFj8+uPHTtGr169aN68OXB93ynK9OnT6dKlC+Hh4eZ+b926lYSEhHzlcnNzmTt3Lk5OTgAMGDCA9evXM378+BLtrx988AGNGjUyf9vapEkT84FZpKwpr8qr3LuS45Np9XwrAJp2bMrFcxf5MelHGj/RmKzjWTzY/EHqtagHQPV61c2vyzqRRc1GNWn4WEMMBgPV3AufWAdIXZaKwWCg79S+VHCogFtTN85mnmXxsMUFynb9d1ce8n8IgMBhgXzY90OuXrpKBYcKfDH5CzoO64hfsB8ANTxq8PS/nmbV2FV0/mdnftj0A6cOnCJ0aSgutV3M9c3qM6tsNpZIGdG4qnFVrIOyqqyKdVBWlVVrUGa/XM8zadIkPvnkEzIyMm65jubNm5sn1gGCgoKoX78+DRs2ZMCAASxYsIDs7GwAfvzxR7KzswkKCqJy5crmx7x58zh48OBN2+nQoQO7d+9m69atdO7cmT59+nD69Olb7rfccLP9ICMjA39//3zL/P39OXDgADk5OQXK38zChQtp1KiR+YwDHx8f6tevz+LFN/6of+ONNwgJCSEwMJCJEyfm2y+GDh3K22+/jb+/P5GRkTe9LND+/fvx8/PLt+yvz+H6zTLyDnwAtWvXNu9XJdlfMzIyePTRR/PVmXegFLkTlFflVe49pw6c4ujOo/j28gXA1s6WFj1bkBx//dIv/i/5s2vFLiYHTGZV5CoOJx82v9Yv2I8TaSeY4DeBZSOXsW/DviLbOX3gNHWa1aGCQwXzsvot6xdatk6zOuZ/O7s6A3Dh1wsAnPj+BF9O+ZIR7iPMj8XDFnPu5DmuZF/h1A+nqPpgVfPEOoCHn0cpt4rI3aFxVeOqWAdlVVkV66CsKquWrswn1wMCAujUqROjRo0q2JiNjfl05DxXr14tUM7R0THfcycnJ3bu3MnChQupXbs2Y8aMwdvbmzNnznDhwvU/ylavXs3u3bvNj/T09GKvu+7o6MhDDz3EY489RlxcHHZ2drf1i3u54Wb7QVmKi4tj79692NnZmR/p6en5bjwxduxY9u7dS9euXdmwYQNeXl6sWLECgJCQEA4dOsSAAQNIS0ujVatWTJ8+/bb6lHdKUB6DwUBubi7Abe2vIneK8nqD8ir3iuT4ZHKv5RLpFckbNd/gjZpvkDQniT2f7+HiuYt4BXkRuSeS9n9vz9mTZ5nRcwb/Hf1fANy93RmzawxdRnXh6sWrzH15Lh8P/Pi2+2RT4U8fO/93ucu8vF354wqdR3YmYnOE+THimxG8mfImdg66eapYF42rN2hcFUumrN6grIolU1ZvUFYt0x35a2XixIn4+PiYb0aap2bNmpw8eRKTyWS+icDu3btLVKednR2BgYEEBgYSGRlJlSpV2LBhA0FBQdjb23Ps2LGbXgKmJHJzc7l8+fJt1SE3FLUfeHp6kpSUlG9ZUlISRqMRW1tb4PqdlIv7ljEtLY2UlBQ2bdpEtWo3Tln//fffad++Pfv27TOfqmM0GjEajYSFhREcHMzHH39Mz549AXB3dyc0NJTQ0FBGjRrF7NmzGTJkSIH2mjRpwo4dO/It++vz4nh5eRW7v3p6erJq1ap8y7799ttStSNSWsprQcqrWKucaznsWLyDHuN60LRD03zr4gbEsXPZTvxf8qdyjcr4BfvhF+xHUpskVo1ZRY9xPQBwcHbA9zlffJ/zxbu7N7Oen8UfWX/gWDX/DyBqNa5FymcpXLt8DTv76x8rj+08Vuo+132kLqcPnKZmw5qFrnc1upJ1IouzJ8/i4nb91+tHdhwpdTsid4vG1YI0roolUlYLUlbFEimrBSmrluOOTK43b96cF154gWnTpuVb3r59e3755RcmT55M7969Wbt2LWvWrMHZ2fmm9SUkJHDo0CECAgKoWrUqiYmJ5Obm0qRJE5ycnAgPDycsLIzc3FyeeOIJzp49S1JSEs7OzgwcOLBAfX/88Qfjx4+ne/fu1K5dm19//ZX333+fEydO8Pzzz5fptrifFbUfDB8+nNatWzNu3Dj69u3Ltm3beO+995gxY4a5jIeHB1u2bKFfv37Y29sXei38uLg4/Pz88t3cNk/r1q2Ji4sjKiqKiIgIevfuTYMGDTh+/Dg7duygV69eAAwbNowuXbpgNBrJyspi48aNeHp6Fvp+hgwZQkBAALGxsXTr1o0NGzawZs2aYu82/Wcl2V9DQ0OJiYkhIiKCkJAQUlNTzTfjELlTlNeClFexVnu/2Ev2mWweG/AYlZwr5Vv3SLdH+Db+W85mnsXdxx23pm5cu3yN9C/ScTW6ArDx/Y04uzlTt3ldDDYG9vx3D86uzlRyqVSgrZa9WrL67dUsDltMx9c7knU8iw3vbQAoVd6einiK2cGzqVq3Kt7dvTHYGPj5+5/J3JdJ1ze7YmxvpFajWnz6j0/pHtWdS+cvkTg+8Ta2ksidpXG1II2rYomU1YKUVbFEympByqrlKPPLwuSJiooyn6qQx9PTkxkzZvD+++/j7e3N9u3bzRfvv5kqVaqwfPlynnzySTw9PZk5cyYLFy6kWbNmAIwbN47Ro0cTHR2Np6cnnTt3ZvXq1TRo0KDQ+mxtbdm3bx+9evXCaDTSrVs3fvvtN77++mtznVI2CtsPfH19WbJkCYsWLeLhhx9mzJgxREVFMWjQoHyvO3LkCI0aNaJmzYK/Yrty5Qrx8fHmg9hf9erVi3nz5mFjY8Nvv/3Giy++iNFopE+fPnTp0oW33noLgJycHF577TXzfmM0GvMdhP/M39+fmTNnEhsbi7e3N2vXriUsLAwHB4dSbZPi9td69eqxbNkyVq5cibe3NzNnzmTChAmlakPkViivBSmvYo2S45Np0q5JgYl1AO9u3vy06yds7GxIiEpgctvJTH9mOgZbAwPjrv8gwaGyAxumbSCmYwyxHWP5/affeWXxK9jYFPzY6ODswOBPB3Mi7QRT2k0hcXwinUZ0AjD/kr0kPDt6MnjhYPZv3E9sYCxTn5rKpg82Ua3u9V8O2djY8PL8l7l66SqxgbEsen0RT7/59K1sHpG7RuNqQRpXxRIpqwUpq2KJlNWClFXLYDD99SLohdi5cyctW7YkNTUVX1/fu9Evi7NgwQL69+9/X28DKWjw4MHs27ePr7/+ury7Iv+jrEpRlFfLkpfV4RuH4+7tXt7dkTKU8lkKC//fQqKPRFOxUsXiXyAWLeWzFOJfjde4KgVoXLUs+gwsRVFWLY/yKoVRVi1PSefDdYcokVJ45513CAoKwtHRkTVr1vDJJ58U+U2kiJQv5VXk7ti+aDs1PGrgUtuFE9+f4POxn+PzrI8m1kXuMRpXRayDsipiHZTVe4cm10VKYfv27UyePJnz58/TsGFDpk2bRkhISHl3S0QKobyK3B3nT59nTfQazp8+j7OrMz49fOj6767l3S0RKWMaV0Wsg7IqYh2U1XuHJtdFSmHJkiXl3QURKSHlVeTu6Di0Ix2HdizvbojIHaZxVcQ6KKsi1kFZvXfcsRuaioiIiIiIiIiIiIjcqzS5LiIiIiIiIiIiIiJSSppcFxEREREREREREREpJU2ui4iIiIiIiIiIiIiUUqluaJqYmEhGRsad6otFS0pKAu7vbSBiDZRVEeuQl9X0r9I59cOpcu6NiBTlUPIhQOOqiKXTZ2AR66G8iliHw4cPl6icwWQymYortG3bNtq2bUtOTs5td8ya2djYkJubW97dEJFiGGwMmHKLPbSJSDnTuCpiHZRVEeugrIpYD+VVxDrY2try9ddf06ZNmyLLlOiX6/b29uTk5BAfH4+np2eZddCaJCYmMnr06Pt6G4hYg7ys9p/VH1eja3l3R0SKkP5VOmvGr9G4KmLh9BlYxDooqyLWQ3kVsQ4ZGRn0798fe3v7m5Yr1WVhPD098fX1va2OWau8U3Xu520gYg3ysupqdMXd272ceyMiRcm7FIzGVRHLps/AItZBWRWxHsqryL1FNzQVERERERERERERESklTa6LiIiIiIiIiIiIiJSSJtdFirBp0yYMBgNnzpwp765YVF9E7pRh1Ybx3ervyrsbgGX1ReReYknjmSX1RcTSWFI+LKkvIpbGkvJhSX0RsTSWlA9L6su9okwm1wcNGoTBYGDixIn5lq9cuRKDwVAWTdxRoaGhGAwGpk6dWt5dsWpluR94eHiU6v8jOjoaW1tbpkyZUqp2bubxxx8nMzMTFxeXMqtT5F5xePthwmqE8WHfD8uszqiMKLwCvcqsPpF7gcZWEeugrIpYB2VVxDooq2JNyuyX6w4ODkyaNImsrKyyqhKAK1eulGl9f7VixQq+/fZb6tSpc0fbuV/cqf2gOHPmzGHEiBHMmTOnzOqsWLEibm5uVvEFkcjdlhyfTNvBbTm47SBnM8+WSZ3Ors7Y2ZfqPtsi9wWNrSLWQVkVsQ7Kqoh1UFbFWpTZ5HpgYCBubm5ER0cXWWbs2LH4+PjkWzZ16lQ8PDzMzwcNGsSzzz7L+PHjqVOnDk2aNAFgxowZNG7cGAcHB1xdXendu7f5Nbm5uURHR9OgQQMqVaqEt7c3S5cuLbbPJ06cYMiQISxYsIAKFSqU7g1LoUqyHwAsW7aMZs2aYW9vj4eHBzExMeZ17du35+jRo4SFhWEwGIo9+GzevJmLFy8SFRXFuXPn2Lp1a771e/bsoUOHDjg5OeHs7EzLli1JSUkB4OjRo3Tr1o2qVavi6OhIs2bNSExMBAo/VWb27Nm4u7vzwAMP0LNnT2JjY6lSpYp5fd4+Pn/+fDw8PHBxcaFfv36cP3/eXKYk+2tiYiJGo5FKlSrRoUMHjhw5ctNtIHI3Xb5wmV0rd+H/sj9eQV5sX7jdvC77TDbzX5nPm43fJKJOBG+3epvkBckAXLtyjaUjljLGcwzhtcN565G3WPefdebX/vVSLIeTDzM5YDLhtcOJeTKG71Z/x7BqwziedhyAA98cYFi1Yfyw+Qdinowh4sEIpnaayqkDp/L1Ny0xjXfav0N47XDGtRjH2klrybmWY17/y8FfmNZ1GuG1w4l+LJr9G/ffke0mcqs0tmpsFeugrCqrYh2UVWVVrIOyqqxaizKbXLe1tWXChAlMnz6d48eP31Zd69evZ//+/axbt46EhARSUlIYOnQoUVFR7N+/n7Vr1xIQEGAuHx0dzbx585g5cyZ79+4lLCyM/v37s3nz5iLbyM3NZcCAAURERNCsWbPb6q/cUJL9IDU1lT59+tCvXz/S0tIYO3Yso0ePZu7cuQAsX76cunXrEhUVRWZmJpmZmTdtMy4ujuDgYCpUqEBwcDBxcXH51r/wwgvUrVuXHTt2kJqaysiRI81fprz22mtcvnyZLVu2kJaWxqRJk6hcuXKh7SQlJREaGsrrr7/O7t27CQoKYvz48QXKHTx4kJUrV5KQkEBCQgKbN2/OdypTcfvrTz/9xHPPPUe3bt3YvXs3ISEhjBw58qbbQORu2rVyF7Ua18K1sSut+rQieUEyJpMJgMQJiZzcf5JXl7zKyG9H8vw7z+NY3RGALbO28P2a7xk4ZyD/2v4vBnw4gGr1qhXaxqVzl5j9t9nU8apD+MZwuozqwudvfV5o2dVvr6bHuB4MXz8cGzsbFg1ZZF53cNtBFvx9AQGvBjBy20j6xPZh+8LtrIu5Pqmfm5vLnBfnYFfRjrB1YfSJ7VNkOyLlRWOrxlaxDsqqsirWQVlVVsU6KKvKqrUo0/Pve/bsiY+PD5GRkQV2wNJwdHTko48+omLFisD1MDg6OvLMM8/g5ORE/fr1adGiBQCXL19mwoQJfPXVV7Rp0waAhg0b8s033zBr1izatWtXaBuTJk3Czs6OoUOH3nI/pXDF7QexsbF07NiR0aNHA2A0GklPT2fKlCkMGjSIatWqYWtri5OTE25ubjdt69y5cyxdupRt27YB0L9/f9q2bcu7775rPogdO3aMiIgImjZtCkDjxo3Nrz927Bi9evWiefPmwPV9pyjTp0+nS5cuhIeHm/u9detWEhIS8pXLzc1l7ty5ODk5ATBgwADWr1/P+PHjS7S/fvDBBzRq1Mj8bWuTJk3MB2YRS5Acn0yr51sB0LRjUy6eu8iPST/S+InGZB3P4sHmD1KvRT0Aqterbn5d1oksajaqScPHGmIwGKjmXvjEOkDqslQMBgN9p/algkMF3Jq6cTbzLIuHLS5Qtuu/u/KQ/0MABA4L5MO+H3L10lUqOFTgi8lf0HFYR/yC/QCo4VGDp//1NKvGrqLzPzvzw6YfOHXgFKFLQ3Gp7WKub1afWWWzsUTKiMZWja1iHZRVZVWsg7KqrIp1UFaVVWtQZr9czzNp0iQ++eQTMjIybrmO5s2bmyfWAYKCgqhfvz4NGzZkwIABLFiwgOzsbAB+/PFHsrOzCQoKonLlyubHvHnzOHjwYKH1p6am8u677zJ37lxd7+gOudl+kJGRgb+/f75l/v7+HDhwgJycnALlb2bhwoU0atQIb29vAHx8fKhfvz6LF9+YgHvjjTcICQkhMDCQiRMn5tsvhg4dyttvv42/vz+RkZF89913BdrIs3//fvz8/PIt++tzuH6zjLwDH0Dt2rU5ffo0ULL9NSMjg0cffTRfnXkHSpHydurAKY7uPIpvL18AbO1sadGzBcnx1y/94v+SP7tW7GJywGRWRa7icPJh82v9gv04kXaCCX4TWDZyGfs27CuyndMHTlOnWR0qONy4ZFf9lvULLVun2Y17Zji7OgNw4dcLAJz4/gRfTvmSEe4jzI/FwxZz7uQ5rmRf4dQPp6j6YFXzxDqAh59HKbeKyN2hsVVjq1gHZVVZFeugrCqrYh2UVWXV0pX55HpAQACdOnVi1KhRBRuzsTFfOiDP1atXC5RzdHTM99zJyYmdO3eycOFCateuzZgxY/D29ubMmTNcuHB9AmX16tXs3r3b/EhPTy/yuutff/01p0+fpl69etjZ2WFnZ8fRo0cZPnx4vuu/y6272X5QluLi4ti7d6/5/9HOzo709PR8N54YO3Yse/fupWvXrmzYsAEvLy9WrFgBQEhICIcOHWLAgAGkpaXRqlUrpk+fflt9+uv1+w0GA7m5uQC3tL+KWJLk+GRyr+US6RXJGzXf4I2ab5A0J4k9n+/h4rmLeAV5EbknkvZ/b8/Zk2eZ0XMG/x39XwDcvd0Zs2sMXUZ14erFq8x9eS4fD/z4tvtkU+FPQ9n/vi/Ny9yVP67QeWRnIjZHmB8jvhnBmylvYuegm6eKddHYeoPGVrFkyuoNyqpYMmX1BmVVLJmyeoOyapnuyMzCxIkT8fHxMd+MNE/NmjU5efIkJpPJ/Ivx3bt3l6hOOzs7AgMDCQwMJDIykipVqrBhwwaCgoKwt7fn2LFjRV4C5q8GDBhAYGBgvmWdOnViwIABvPTSSyWqQ4pX1H7g6elJUlJSvmVJSUkYjUZsbW2B63dSLu5bxrS0NFJSUti0aRPVqt24vMTvv/9O+/bt2bdvn/lUHaPRiNFoJCwsjODgYD7++GN69uwJgLu7O6GhoYSGhjJq1Chmz57NkCFDCrTXpEkTduzYkW/ZX58Xx8vLq9j91dPTk1WrVuVb9u2335aqHZE7IedaDjsW76DHuB407dA037q4AXHsXLYT/5f8qVyjMn7BfvgF+5HUJolVY1bRY1wPABycHfB9zhff53zx7u7NrOdn8UfWHzhWzf+laq3GtUj5LIVrl69hZ399qDq281ip+1z3kbqcPnCamg1rFrre1ehK1okszp48i4vb9V+vH9lxpNTtiNwtGlsL0tgqlkhZLUhZFUukrBakrIolUlYLUlYtxx2ZXG/evDkvvPAC06ZNy7e8ffv2/PLLL0yePJnevXuzdu1a1qxZg7Oz803rS0hI4NChQwQEBFC1alUSExPJzc2lSZMmODk5ER4eTlhYGLm5uTzxxBOcPXuWpKQknJ2dGThwYIH6qlevTvXq1fMtq1ChAm5ubgWCKreuqP1g+PDhtG7dmnHjxtG3b1+2bdvGe++9x4wZM8xlPDw82LJlC/369cPe3p4aNWoUqD8uLg4/P798N7fN07p1a+Li4oiKiiIiIoLevXvToEEDjh8/zo4dO+jVqxcAw4YNo0uXLhiNRrKysti4cSOenp6Fvp8hQ4YQEBBAbGws3bp1Y8OGDaxZs6ZUlxYqyf4aGhpKTEwMERERhISEkJqaar4Zh0h52vvFXrLPZPPYgMeo5Fwp37pHuj3Ct/HfcjbzLO4+7rg1dePa5Wukf5GOq9EVgI3vb8TZzZm6zetisDGw5797cHZ1ppJLpQJttezVktVvr2Zx2GI6vt6RrONZbHhvA0CpMvdUxFPMDp5N1bpV8e7ujcHGwM/f/0zmvky6vtkVY3sjtRrV4tN/fEr3qO5cOn+JxPGJt7GVRO4sja0FaWwVS6SsFqSsiiVSVgtSVsUSKasFKauWo8wvC5MnKirKfKpCHk9PT2bMmMH777+Pt7c327dvN1+8/2aqVKnC8uXLefLJJ/H09GTmzJksXLiQZs2aATBu3DhGjx5NdHQ0np6edO7cmdWrV9OgQYM78t6k5ArbD3x9fVmyZAmLFi3i4YcfZsyYMURFRTFo0KB8rzty5AiNGjWiZs2Cvzi9cuUK8fHx5oPYX/Xq1Yt58+ZhY2PDb7/9xosvvojRaKRPnz506dKFt956C4CcnBxee+01835jNBrzHYT/zN/fn5kzZxIbG4u3tzdr164lLCwMBweHUm2T4vbXevXqsWzZMlauXIm3tzczZ85kwoQJpWpD5E5Ijk+mSbsmBSbWAby7efPTrp+wsbMhISqByW0nM/2Z6RhsDQyMu/4lp0NlBzZM20BMxxhiO8by+0+/88riV7CxKTgUOTg7MPjTwZxIO8GUdlNIHJ9IpxGdAMy/ZC8Jz46eDF44mP0b9xMbGMvUp6ay6YNNVKt7/dcINjY2vDz/Za5eukpsYCyLXl/E028+fSubR+Su0dhakMZWsUTKakHKqlgiZbUgZVUskbJakLJqGQymv14EvRA7d+6kZcuWpKam4uvrezf6ZXEWLFhA//797+ttIAUNHjyYffv28fXXX5d3V+R/8rI6fONw3L3dy7s7UoZSPkth4f9bSPSRaCpWqlj8C8SipXyWQvyr8RpXpQCNrZZFn4GlKMqqZVFWpSjKquVRXqUwyqrlKel8uO7mJlIK77zzDkFBQTg6OrJmzRo++eSTIr+JFJHbs33Rdmp41MCltgsnvj/B52M/x+dZH02si9xjNLaKWAdlVcQ6KKsi1kFZvXdocl2kFLZv387kyZM5f/48DRs2ZNq0aYSEhJR3t0TuSedPn2dN9BrOnz6Ps6szPj186PrvruXdLREpYxpbRayDsipiHZRVEeugrN47NLkuUgpLliwp7y6I3Dc6Du1Ix6Edy7sbInKHaWwVsQ7Kqoh1UFZFrIOyeu+4Yzc0FRERERERERERERG5V2lyXURERERERERERESklDS5LiIiIiIiIiIiIiJSSppcFxEREREREREREREppVLd0DQxMZGMjIw71ReLlpSUBNzf20DEGuRlNf2rdE79cKqceyMiRTmUfAjQuCpi6fQZWMQ6KKsi1kN5FbEOhw8fLlE5g8lkMhVXaNu2bbRt25acnJzb7pg1s7GxITc3t7y7ISLFMNgYMOUWe2gTkXKmcVXEOiirItZBWRWxHsqriHWwtbXl66+/pk2bNkWWKdEv1+3t7cnJySE+Ph5PT88y66A1SUxMZPTo0ff1NhCxBnlZ7T+rP65G1/LujogUIf2rdNaMX6NxVcTC6TOwiHVQVkWsh/IqYh0yMjLo378/9vb2Ny1XqsvCeHp64uvre1sds1Z5p+rcz9tAxBrkZdXV6Iq7t3s590ZEipJ32SaNqyKWTZ+BRayDsipiPZRXkXuLbmgqIiIiIiIiIiIiIlJKmlwXERERERERERERESklTa6LiIiIiIiIiIiIiJSSJtdFirBp0yYMBgNnzpwp765YVF9E7pRh1Ybx3ervyrsbgGX1ReReYknjmSX1RcTSWFI+LKkvIpbGkvJhSX0RsTSWlA9L6su9okwm1wcNGoTBYGDixIn5lq9cuRKDwVAWTZS5vD7/+dG5c+fy7pZVK8v9wMPDg6lTp5a4fHR0NLa2tkyZMqVU7dzM448/TmZmJi4uLmVWp8i94vD2w4TVCOPDvh+WWZ1RGVF4BXqVWX0i9wKNrSLWQVkVsQ7Kqoh1UFbFmpTZL9cdHByYNGkSWVlZZVUlAFeuXCnT+v6sc+fOZGZmmh8LFy68Y23dL+7UflCcOXPmMGLECObMmVNmdVasWBE3NzeL/YJIpDwlxyfTdnBbDm47yNnMs2VSp7OrM3b2dmVSl8i9RGOriHVQVkWsg7IqYh2UVbEWZTa5HhgYiJubG9HR0UWWGTt2LD4+PvmWTZ06FQ8PD/PzQYMG8eyzzzJ+/Hjq1KlDkyZNAJgxYwaNGzfGwcEBV1dXevfubX5Nbm4u0dHRNGjQgEqVKuHt7c3SpUuL7bO9vT1ubm7mR9WqVUv3pqWAkuwHAMuWLaNZs2bY29vj4eFBTEyMeV379u05evQoYWFh5rMKbmbz5s1cvHiRqKgozp07x9atW/Ot37NnDx06dMDJyQlnZ2datmxJSkoKAEePHqVbt25UrVoVR0dHmjVrRmJiIlD4qTKzZ8/G3d2dBx54gJ49exIbG0uVKlXM6/P28fnz5+Ph4YGLiwv9+vXj/Pnz5jIl2V8TExMxGo1UqlSJDh06cOTIkZtuA5G76fKFy+xauQv/l/3xCvJi+8Lt5nXZZ7KZ/8p83mz8JhF1Ini71dskL0gG4NqVaywdsZQxnmMIrx3OW4+8xbr/rDO/9q+XYjmcfJjJAZMJrx1OzJMxfLf6O4ZVG8bxtOMAHPjmAMOqDeOHzT8Q82QMEQ9GMLXTVE4dOJWvv2mJabzT/h3Ca4czrsU41k5aS861HPP6Xw7+wrSu0wivHU70Y9Hs37j/jmw3kVulsVVjq1gHZVVZFeugrCqrYh2UVWXVWpTZ5LqtrS0TJkxg+vTpHD9+/LbqWr9+Pfv372fdunUkJCSQkpLC0KFDiYqKYv/+/axdu5aAgABz+ejoaObNm8fMmTPZu3cvYWFh9O/fn82bN9+0nU2bNlGrVi2aNGnC3//+d3777bfb6reUbD9ITU2lT58+9OvXj7S0NMaOHcvo0aOZO3cuAMuXL6du3bpERUWZzyq4mbi4OIKDg6lQoQLBwcHExcXlW//CCy9Qt25dduzYQWpqKiNHjqRChQoAvPbaa1y+fJktW7aQlpbGpEmTqFy5cqHtJCUlERoayuuvv87u3bsJCgpi/PjxBcodPHiQlStXkpCQQEJCAps3b853KlNx++tPP/3Ec889R7du3di9ezchISGMHDnypttA5G7atXIXtRrXwrWxK636tCJ5QTImkwmAxAmJnNx/kleXvMrIb0fy/DvP41jdEYAts7bw/ZrvGThnIP/a/i8GfDiAavWqFdrGpXOXmP232dTxqkP4xnC6jOrC5299XmjZ1W+vpse4HgxfPxwbOxsWDVlkXndw20EW/H0BAa8GMHLbSPrE9mH7wu2si7k+qZ+bm8ucF+dgV9GOsHVh9IntU2Q7IuVFY6vGVrEOyqqyKtZBWVVWxTooq8qqtSjT8+979uyJj48PkZGRBXbA0nB0dOSjjz6iYsWKwPUwODo68swzz+Dk5ET9+vVp0aIFAJcvX2bChAl89dVXtGnTBoCGDRvyzTffMGvWLNq1a1doG507d+a5556jQYMGHDx4kH/961906dKFbdu2YWtre8t9l+L3g9jYWDp27Mjo0aMBMBqNpKenM2XKFAYNGkS1atWwtbXFyckJNze3m7Z17tw5li5dyrZt2wDo378/bdu25d133zUfxI4dO0ZERARNmzYFoHHjxubXHzt2jF69etG8eXPg+r5TlOnTp9OlSxfCw8PN/d66dSsJCQn5yuXm5jJ37lycnJwAGDBgAOvXr2f8+PEl2l8/+OADGjVqZP62tUmTJuYDs4glSI5PptXzrQBo2rEpF89d5MekH2n8RGOyjmfxYPMHqdeiHgDV61U3vy7rRBY1G9Wk4WMNMRgMVHMvfGIdIHVZKgaDgb5T+1LBoQJuTd04m3mWxcMWFyjb9d9decj/IQAChwXyYd8PuXrpKhUcKvDF5C/oOKwjfsF+ANTwqMHT/3qaVWNX0fmfnflh0w+cOnCK0KWhuNR2Mdc3q8+sstlYImVEY6vGVrEOyqqyKtZBWVVWxTooq8qqNSizX67nmTRpEp988gkZGRm3XEfz5s3NE+sAQUFB1K9fn4YNGzJgwAAWLFhAdnY2AD/++CPZ2dkEBQVRuXJl82PevHkcPHiwyDb69etH9+7dad68Oc8++ywJCQns2LGDTZs23XK/5Yab7QcZGRn4+/vnW+bv78+BAwfIyckpUP5mFi5cSKNGjfD29gbAx8eH+vXrs3jxjQm4N954g5CQEAIDA5k4cWK+/WLo0KG8/fbb+Pv7ExkZyXfffVegjTz79+/Hz88v37K/PofrN8vIO/AB1K5dm9OnTwMl218zMjJ49NFH89WZd6AUKW+nDpzi6M6j+PbyBcDWzpYWPVuQHH/90i/+L/mza8UuJgdMZlXkKg4nHza/1i/YjxNpJ5jgN4FlI5exb8O+Its5feA0dZrVoYJDBfOy+i3rF1q2TrM65n87uzoDcOHXCwCc+P4EX075khHuI8yPxcMWc+7kOa5kX+HUD6eo+mBV88Q6gIefRym3isjdobFVY6tYB2VVWRXroKwqq2IdlFVl1dKV+eR6QEAAnTp1YtSoUQUbs7ExXzogz9WrVwuUc3R0zPfcycmJnTt3snDhQmrXrs2YMWPw9vbmzJkzXLhwfQJl9erV7N692/xIT08v0XXX8zRs2JAaNWrw448/lvg1UrSb7QdlKS4ujr1792JnZ2d+pKen57vxxNixY9m7dy9du3Zlw4YNeHl5sWLFCgBCQkI4dOgQAwYMIC0tjVatWjF9+vTb6lPeKUF5DAYDubm5AGW2v4qUl+T4ZHKv5RLpFckbNd/gjZpvkDQniT2f7+HiuYt4BXkRuSeS9n9vz9mTZ5nRcwb/Hf1fANy93RmzawxdRnXh6sWrzH15Lh8P/Pi2+2RT4U9D2f8uoZeXuSt/XKHzyM5EbI4wP0Z8M4I3U97EzkE3TxXrorH1Bo2tYsmU1RuUVbFkyuoNyqpYMmX1BmXVMt2RmYWJEyfi4+Njvhlpnpo1a3Ly5ElMJpP5JgK7d+8uUZ12dnYEBgYSGBhIZGQkVapUYcOGDQQFBWFvb8+xY8eKvARMSRw/fpzffvuN2rVr33Idkl9R+4GnpydJSUn5liUlJWE0Gs2X5KlYsWKx3zKmpaWRkpLCpk2bqFbtxuUlfv/9d9q3b8++ffvMp+oYjUaMRiNhYWEEBwfz8ccf07NnTwDc3d0JDQ0lNDSUUaNGMXv2bIYMGVKgvSZNmrBjx458y/76vDheXl7F7q+enp6sWrUq37Jvv/22VO2I3Ak513LYsXgHPcb1oGmHpvnWxQ2IY+eynfi/5E/lGpXxC/bDL9iPpDZJrBqzih7jegDg4OyA73O++D7ni3d3b2Y9P4s/sv7AsWr+L1VrNa5FymcpXLt8DTv760PVsZ3HSt3nuo/U5fSB09RsWLPQ9a5GV7JOZHH25Flc3K7/ev3IjiOlbkfkbtHYWpDGVrFEympByqpYImW1IGVVLJGyWpCyajnuyOR68+bNeeGFF5g2bVq+5e3bt+eXX35h8uTJ9O7dm7Vr17JmzRqcnZ1vWl9CQgKHDh0iICCAqlWrkpiYSG5uLk2aNMHJyYnw8HDCwsLIzc3liSee4OzZsyQlJeHs7MzAgQML1HfhwgXeeustevXqhZubGwcPHmTEiBE89NBDdOrUqUy3xf2sqP1g+PDhtG7dmnHjxtG3b1+2bdvGe++9x4wZM8xlPDw82LJlC/369cPe3p4aNWoUqD8uLg4/P798N7fN07p1a+Li4oiKiiIiIoLevXvToEEDjh8/zo4dO+jVqxcAw4YNo0uXLhiNRrKysti4cSOenp6Fvp8hQ4YQEBBAbGws3bp1Y8OGDaxZs6bYu03/WUn219DQUGJiYoiIiCAkJITU1FTzzThEytPeL/aSfSabxwY8RiXnSvnWPdLtEb6N/5azmWdx93HHrakb1y5fI/2LdFyNrgBsfH8jzm7O1G1eF4ONgT3/3YOzqzOVXCoVaKtlr5asfns1i8MW0/H1jmQdz2LDexsASpW5pyKeYnbwbKrWrYp3d28MNgZ+/v5nMvdl0vXNrhjbG6nVqBaf/uNTukd159L5SySOT7yNrSRyZ2lsLUhjq1giZbUgZVUskbJakLIqlkhZLUhZtRxlflmYPFFRUeZTFfJ4enoyY8YM3n//fby9vdm+fbv54v03U6VKFZYvX86TTz6Jp6cnM2fOZOHChTRr1gyAcePGMXr0aKKjo/H09KRz586sXr2aBg0aFFqfra0t3333Hd27d8doNPJ///d/tGzZkq+//hp7e/vbf/NiVth+4Ovry5IlS1i0aBEPP/wwY8aMISoqikGDBuV73ZEjR2jUqBE1axb8xemVK1eIj483H8T+qlevXsybNw8bGxt+++03XnzxRYxGI3369KFLly689dZbAOTk5PDaa6+Z9xuj0ZjvIPxn/v7+zJw5k9jYWLy9vVm7di1hYWE4ODiUapsUt7/Wq1ePZcuWsXLlSry9vZk5cyYTJkwoVRsid0JyfDJN2jUpMLEO4N3Nm592/YSNnQ0JUQlMbjuZ6c9Mx2BrYGDc9S85HSo7sGHaBmI6xhDbMZbff/qdVxa/go1NwaHIwdmBwZ8O5kTaCaa0m0Li+EQ6jbj+5WfeL9lLwrOjJ4MXDmb/xv3EBsYy9ampbPpgE9XqXv81go2NDS/Pf5mrl64SGxjLotcX8fSbT9/K5hG5azS2FqSxVSyRslqQsiqWSFktSFkVS6SsFqSsWgaD6a8XQS/Ezp07admyJampqfj6+t6NflmcBQsW0L9///t6G0hBgwcPZt++fXz99dfl3RX5n7ysDt84HHdv9/LujpShlM9SWPj/FhJ9JJqKlSoW/wKxaCmfpRD/arzGVSlAY6tl0WdgKYqyalmUVSmKsmp5lFcpjLJqeUo6H667uYmUwjvvvENQUBCOjo6sWbOGTz75pMhvIkXk9mxftJ0aHjVwqe3Cie9P8PnYz/F51kcT6yL3GI2tItZBWRWxDsqqiHVQVu8dmlwXKYXt27czefJkzp8/T8OGDZk2bRohISHl3S2Re9L50+dZE72G86fP4+zqjE8PH7r+u2t5d0tEypjGVhHroKyKWAdlVcQ6KKv3Dk2ui5TCkiVLyrsLIveNjkM70nFox/LuhojcYRpbRayDsipiHZRVEeugrN477tgNTUVERERERERERERE7lWaXBcRERERERERERERKSVNrouIiIiIiIiIiIiIlJIm10VERERERERERERESqlUNzRNTEwkIyPjTvXFoiUlJQH39zYQsQZ5WU3/Kp1TP5wq596ISFEOJR8CNK6KWDp9BhaxDsqqiPVQXkWsw+HDh0tUzmAymUzFFdq2bRtt27YlJyfntjtmzWxsbMjNzS3vbohIMZRVEetgsDFgyi32Y4iIlDONqyLWQVkVsR7Kq4h1sLW15euvv6ZNmzZFlinRL9ft7e3JyckhPj4eT0/PMuugNUlMTGT06NH39TYQsQbKqoh1yMtq/1n9cTW6lnd3RKQI6V+ls2b8Go2rIhZOn4FFrIfyKmIdMjIy6N+/P/b29jctV6rLwnh6euLr63tbHbNWeafq3M/bQMQaKKsi1iEvq65GV9y93cu5NyJSlLxLrGlcFbFs+gwsYj2UV5F7i25oKiIiIiIiIiIiIiJSSppcFxEREREREREREREpJU2uixRh06ZNGAwGzpw5U95dsai+iFgiS8qIJfVF5E4YVm0Y363+rry7AVhWX0TuJZY0lllSX0QsjSXlw5L6ImJpLCkfltSXe0WZTK4PGjQIg8HAxIkT8y1fuXIlBoOhLJq4IzIyMujevTsuLi44OjrSunVrjh07Vt7dslpluR94eHgwderUEpePjo7G1taWKVOmlKqdm3n88cfJzMzExcWlzOoUsRTKq8j94fD2w4TVCOPDvh+WWZ1RGVF4BXqVWX0i9wKNqyLWQVkVsQ7KqliTMvvluoODA5MmTSIrK6usqgTgypUrZVpfnoMHD/LEE0/QtGlTNm3axHfffcfo0aNxcHC4I+3dL+7UflCcOXPmMGLECObMmVNmdVasWBE3NzeL/oJI5HYoryL3vuT4ZNoObsvBbQc5m3m2TOp0dnXGzt6uTOoSuZdoXBWxDsqqiHVQVsValNnkemBgIG5ubkRHRxdZZuzYsfj4+ORbNnXqVDw8PMzPBw0axLPPPsv48eOpU6cOTZo0AWDGjBk0btwYBwcHXF1d6d27t/k1ubm5REdH06BBAypVqoS3tzdLly69aX/ffPNNnn76aSZPnkyLFi1o1KgR3bt3p1atWqV/82JWkv0AYNmyZTRr1gx7e3s8PDyIiYkxr2vfvj1Hjx4lLCwMg8FQ7MFn8+bNXLx4kaioKM6dO8fWrVvzrd+zZw8dOnTAyckJZ2dnWrZsSUpKCgBHjx6lW7duVK1aFUdHR5o1a0ZiYiJQ+Kkys2fPxt3dnQceeICePXsSGxtLlSpVzOvz9vH58+fj4eGBi4sL/fr14/z58+YyJdlfExMTMRqNVKpUiQ4dOnDkyJGbbgORW6G8Kq9yb7t84TK7Vu7C/2V/vIK82L5wu3ld9pls5r8ynzcbv0lEnQjebvU2yQuSAbh25RpLRyxljOcYwmuH89Yjb7HuP+vMr/3rpVgOJx9mcsBkwmuHE/NkDN+t/o5h1YZxPO04AAe+OcCwasP4YfMPxDwZQ8SDEUztNJVTB07l629aYhrvtH+H8NrhjGsxjrWT1pJzLce8/peDvzCt6zTCa4cT/Vg0+zfuvyPbTeRWaVzVuCrWQVlVVsU6KKvKqrUos8l1W1tbJkyYwPTp0zl+/Pht1bV+/Xr279/PunXrSEhIICUlhaFDhxIVFcX+/ftZu3YtAQEB5vLR0dHMmzePmTNnsnfvXsLCwujfvz+bN28utP7c3FxWr16N0WikU6dO1KpVi0cffZSVK1feVr+lZPtBamoqffr0oV+/fqSlpTF27FhGjx7N3LlzAVi+fDl169YlKiqKzMxMMjMzb9pmXFwcwcHBVKhQgeDgYOLi4vKtf+GFF6hbty47duwgNTWVkSNHUqFCBQBee+01Ll++zJYtW0hLS2PSpElUrly50HaSkpIIDQ3l9ddfZ/fu3QQFBTF+/PgC5Q4ePMjKlStJSEggISGBzZs35zuVqbj99aeffuK5556jW7du7N69m5CQEEaOHHnTbSByK5RX5VXubbtW7qJW41q4NnalVZ9WJC9IxmQyAZA4IZGT+0/y6pJXGfntSJ5/53kcqzsCsGXWFr5f8z0D5wzkX9v/xYAPB1CtXrVC27h07hKz/zabOl51CN8YTpdRXfj8rc8LLbv67dX0GNeD4euHY2Nnw6Ihi8zrDm47yIK/LyDg1QBGbhtJn9g+bF+4nXUx1yf1c3NzmfPiHOwq2hG2Low+sX2KbEekvGhc1bgq1kFZVVbFOiiryqq1KNNzenv27ImPjw+RkZEFdsDScHR05KOPPqJixYrA9TA4OjryzDPP4OTkRP369WnRogUAly9fZsKECXz11Ve0adMGgIYNG/LNN98wa9Ys2rVrV6D+06dPc+HCBSZOnMjbb7/NpEmTWLt2Lc899xwbN24s9DVScsXtB7GxsXTs2JHRo0cDYDQaSU9PZ8qUKQwaNIhq1apha2uLk5MTbm5uN23r3LlzLF26lG3btgHQv39/2rZty7vvvms+iB07doyIiAiaNm0KQOPGjc2vP3bsGL169aJ58+bA9X2nKNOnT6dLly6Eh4eb+71161YSEhLylcvNzWXu3Lk4OTkBMGDAANavX8/48eNLtL9+8MEHNGrUyPxta5MmTcwHZpGyprwqr3LvSo5PptXzrQBo2rEpF89d5MekH2n8RGOyjmfxYPMHqdeiHgDV61U3vy7rRBY1G9Wk4WMNMRgMVHMvfGIdIHVZKgaDgb5T+1LBoQJuTd04m3mWxcMWFyjb9d9decj/IQAChwXyYd8PuXrpKhUcKvDF5C/oOKwjfsF+ANTwqMHT/3qaVWNX0fmfnflh0w+cOnCK0KWhuNR2Mdc3q8+sstlYImVE46rGVbEOyqqyKtZBWVVWrUGZ/XI9z6RJk/jkk0/IyMi45TqaN29unlgHCAoKon79+jRs2JABAwawYMECsrOzAfjxxx/Jzs4mKCiIypUrmx/z5s3j4MGDhdafm5sLQI8ePQgLC8PHx4eRI0fyzDPPMHPmzFvut9xws/0gIyMDf3//fMv8/f05cOAAOTk5BcrfzMKFC2nUqBHe3t4A+Pj4UL9+fRYvvvFH/RtvvEFISAiBgYFMnDgx334xdOhQ3n77bfz9/YmMjOS7774r0Eae/fv34+fnl2/ZX5/D9Ztl5B34AGrXrs3p06eBku2vGRkZPProo/nqzDtQitwJyqvyKveeUwdOcXTnUXx7+QJga2dLi54tSI6/fukX/5f82bViF5MDJrMqchWHkw+bX+sX7MeJtBNM8JvAspHL2LdhX5HtnD5wmjrN6lDBoYJ5Wf2W9QstW6dZHfO/nV2dAbjw6wUATnx/gi+nfMkI9xHmx+Jhizl38hxXsq9w6odTVH2wqnliHcDDz6OUW0Xk7tC4qnFVrIOyqqyKdVBWlVVLV+aT6wEBAXTq1IlRo0YVbMzGxnw6cp6rV68WKOfo6JjvuZOTEzt37mThwoXUrl2bMWPG4O3tzZkzZ7hw4fofZatXr2b37t3mR3p6epHXXa9RowZ2dnZ4eXnlW+7p6cmxY8dK9X6lcDfbD8pSXFwce/fuxc7OzvxIT0/Pd+OJsWPHsnfvXrp27cqGDRvw8vJixYoVAISEhHDo0CEGDBhAWloarVq1Yvr06bfVp7xTgvIYDAbzFzq3sr+K3GnK6w3Kq9wrkuOTyb2WS6RXJG/UfIM3ar5B0pwk9ny+h4vnLuIV5EXknkja/709Z0+eZUbPGfx39H8BcPd2Z8yuMXQZ1YWrF68y9+W5fDzw49vuk02FP33s/N/lLvPyduWPK3Qe2ZmIzRHmx4hvRvBmypvYOejmqWJdNK7eoHFVLJmyeoOyKpZMWb1BWbVMd+SvlYkTJ+Lj42O+GWmemjVrcvLkSUwmk/kmArt37y5RnXZ2dgQGBhIYGEhkZCRVqlRhw4YNBAUFYW9vz7Fjx0p8OZeKFSvSunVr9u/PfyOsH374gfr1C/+1lZReUfuBp6cnSUlJ+ZYlJSVhNBqxtbUFrv8fFfctY1paGikpKWzatIlq1W6csv7777/Tvn179u3bZz5Vx2g0YjQaCQsLIzg4mI8//piePXsC4O7uTmhoKKGhoYwaNYrZs2czZMiQAu01adKEHTt25Fv21+fF8fLyKnZ/9fT0ZNWqVfmWffvtt6VqR6S0lNeClFexVjnXctixeAc9xvWgaYem+dbFDYhj57Kd+L/kT+UalfEL9sMv2I+kNkmsGrOKHuN6AODg7IDvc774PueLd3dvZj0/iz+y/sCxav4fQNRqXIuUz1K4dvkadvbXP1Ye21n6HyrUfaQupw+cpmbDmoWudzW6knUii7Mnz+Lidv3X60d2HCl1OyJ3i8bVgjSuiiVSVgtSVsUSKasFKauW445Mrjdv3pwXXniBadOm5Vvevn17fvnlFyZPnkzv3r1Zu3Yta9aswdnZ+ab1JSQkcOjQIQICAqhatSqJiYnk5ubSpEkTnJycCA8PJywsjNzcXJ544gnOnj1LUlISzs7ODBw4sNA6IyIi6Nu3LwEBAXTo0IG1a9fy+eefs2nTprLaDPe9ovaD4cOH07p1a8aNG0ffvn3Ztm0b7733HjNmzDCX8fDwYMuWLfTr1w97e3tq1KhRoP64uDj8/Pzy3dw2T+vWrYmLiyMqKoqIiAh69+5NgwYNOH78ODt27KBXr14ADBs2jC5dumA0GsnKymLjxo14enoW+n6GDBlCQEAAsbGxdOvWjQ0bNrBmzZpi7zb9ZyXZX0NDQ4mJiSEiIoKQkBBSU1PNN+MQuVOU14KUV7FWe7/YS/aZbB4b8BiVnCvlW/dIt0f4Nv5bzmaexd3HHbembly7fI30L9JxNboCsPH9jTi7OVO3eV0MNgb2/HcPzq7OVHKpVKCtlr1asvrt1SwOW0zH1zuSdTyLDe9tAChV3p6KeIrZwbOpWrcq3t29MdgY+Pn7n8ncl0nXN7tibG+kVqNafPqPT+ke1Z1L5y+ROD7xNraSyJ2lcbUgjatiiZTVgpRVsUTKakHKquUo88vC5ImKijKfqpDH09OTGTNm8P777+Pt7c327dvNF++/mSpVqrB8+XKefPJJPD09mTlzJgsXLqRZs2YAjBs3jtGjRxMdHY2npyedO3dm9erVNGjQoMg6e/bsycyZM5k8eTLNmzfno48+YtmyZTzxxBO398Yln8L2A19fX5YsWcKiRYt4+OGHGTNmDFFRUQwaNCjf644cOUKjRo2oWbPgr9iuXLlCfHy8+SD2V7169WLevHnY2Njw22+/8eKLL2I0GunTpw9dunThrbfeAiAnJ4fXXnvNvN8YjcZ8B+E/8/f3Z+bMmcTGxuLt7c3atWsJCwvDwcGhVNukuP21Xr16LFu2jJUrV+Lt7c3MmTOZMGFCqdoQuRXKa0HKq1ij5PhkmrRrUmBiHcC7mzc/7foJGzsbEqISmNx2MtOfmY7B1sDAuOs/SHCo7MCGaRuI6RhDbMdYfv/pd15Z/Ao2NgU/Njo4OzD408GcSDvBlHZTSByfSKcRnQDMv2QvCc+OngxeOJj9G/cTGxjL1KemsumDTVSre/2XQzY2Nrw8/2WuXrpKbGAsi15fxNNvPn0rm0fkrtG4WpDGVbFEympByqpYImW1IGXVMhhMf70IeiF27txJy5YtSU1NxdfX9270y+IsWLCA/v3739fbQAoaPHgw+/bt4+uvvy7vrsj/KKtSFOXVsuRldfjG4bh7u5d3d6QMpXyWwsL/t5DoI9FUrFSx+BeIRUv5LIX4V+M1rkoBGlctiz4DS1GUVcujvEphlFXLU9L5cN0hSqQU3nnnHYKCgnB0dGTNmjV88sknRX4TKSLlS3kVuTu2L9pODY8auNR24cT3J/h87Of4POujiXWRe4zGVRHroKyKWAdl9d6hyXWRUti+fTuTJ0/m/PnzNGzYkGnTphESElLe3RKRQiivInfH+dPnWRO9hvOnz+Ps6oxPDx+6/rtreXdLRMqYxlUR66CsilgHZfXeocl1kVJYsmRJeXdBREpIeRW5OzoO7UjHoR3LuxsicodpXBWxDsqqiHVQVu8dd+yGpiIiIiIiIiIiIiIi9ypNrouIiIiIiIiIiIiIlJIm10VERERERERERERESkmT6yIiIiIiIiIiIiIipVSqG5pmZGTcqX5YvMOHDwP39zYQsQbKqoh1yMvqqR9OlXNPRORmfjv2G6BxVcTS6TOwiPVQXkWsQ0kzajCZTKbiCh07dgxPT0+ys7Nvu2PWzNbWlpycnPLuhogUQ1kVsQ4GGwOm3GI/hohIObOxtSE3J7e8uyEixdBnYBHrobyKWIcHHniAjIwM6tWrV2SZEk2uw/UJ9l9//bXMOmeNLl++jL29fXl3Q0SKoayKWAdlVcQ6KKsi1kFZFbEeyquIdahRo8ZNJ9ahFJPrIiIiIiIiIiIiIiJynW5oKiIiIiIiIiIiIiJSSppcFxEREREREREREREpJU2ui4iIiIiIiIiIiIiUkibXRURERERERERERERKSZPrIiIiIiIiIiIiIiKlpMl1EREREREREREREZFS0uS6iIiIiIiIiIiIiEgpaXJdRERERERERERERKSUNLkuIiIiIiIiIiIiIlJKmlwXERERERERERERESklTa6LiIiIiIiIiIiIiJSSJtdFREREREREREREREpJk+siIiIiIiIiIiIiIqWkyXURERERERERERERkVLS5LqIiIiIiIiIiIiISClpcl1EREREREREREREpJT+PxJRea4y4nFUAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query102: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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85MmTTW3btjXVqFHD5OTkZGrUqJFp6NChpp9++slcpkGDBqZ///vfhbbz9fU1RUdHm0wmk+nIkSMmwLRnzx7zejc3N9MHH3xgfv3777+bevXqZapWrZoJKLTuz1asWGEyGo2mypUrm5o3b25at25dmd67mEwJCQnKahkoq3vM6281qwV1/fmvffv2ZXr/9ztlteyU1z3m9bea1wYNGhSb14K2pGTKatlVdFY3b95c7HE+cODAErd57733TB07djTVqlXLVLlyZVP9+vVNgwYNMh09etRcpn379qbXX3+90HY9evQoVC9g+uSTT8yv/5jlAuHh4aYHH3yw1Oxt3rzZ5OfnZ6pcubKpUaNGN/3MLDcoq2WnrH5ifn07WS3uPTRo0KDU9y/Ka1kpq5+YX99qVtu3b2/xe5AbyjoXbDCZTKZbmZS/3+zevZtWrVqRnp6Ov79/RXfnvvLhhx8SERHBDz/8QOXKlSu6O2LllixZQv/+/ZXVCqCsiiWU1YqlvEpZKasVS1mVslJWK5ayKpZQXiuOsiqWKOtcsG4LI1YrNzeXnJwcpkyZwquvvqoTn4iVUlZFbIfyKmIblFUR26CsitgGZVXuJD3QVKzWtGnTaNasGR4eHowePbqiuyMiJVBWRWyH8ipiG5RVEdugrIrYBmVV7iRNrovVGjduHFevXmXTpk162JiIFVNWRWyH8ipiG5RVEdugrIrYBmVV7iRNrouIiIiIiIiIiIiIWEiT6yIiIiIiIiIiIiIiFtLkuoiIiIiIiIiIiIiIhRzKWvD48eP89NNPd7IvVi07OxuApKQk879FxPqkpKQAyqqItVNWRWyDsipiG5RVEduhvIrYhiNHjpSpnMFkMplKK3T8+HG8vb3Jzc297Y7ZMoOdAVN+qbtLRCqYnZ0d+fn5Fd0NESmFsipiG5RVEdugrIrYDuVVxDbY29vzxRdf0LZt2xLLlOmX6z/99BO5ubkkJCTg7e1dbh20JUlJSYwZM4b+8/rjbnSv6O6ISAmyPs9i/aT19/X5SsQWFIyryqqIdVNWRWyDsipiO5RXEduQnZ1N//79cXR0vGm5Mt8WBsDb2xt/f//b6pitKrhUx93ojqevZwX3RkRKcvrb08D9fb4SsQUF46qyKmLdlFUR26CsitgO5VXk3qIHmoqIiIiIiIiIiIiIWEiT6yIiIiIiIiIiIiIiFtLkuoiIiIiIiIiIiIiIhTS5Lve8YTWG8fW6ryu6G4B19UXkXrJlyxYMBgPnzp2r6K5YVV9ErI015cOa+iJibawpH9bUFxFrY035sKa+iFgba8qHNfXlXlEuk+uDBg3CYDAwZcqUQsvXrFmDwWAojybK3erVq3nqqad48MEHMRgMZGRkVHSXBDiy8wgRNSN4r+975VZnTHYMPsE+5VafyL2gPM/bXl5ezJw5s8zlY2Njsbe3Z/r06Ra1czN/+ctfyMnJwc3NrdzqFLEGyqqIbVBWRWyDsipiG5RVsSXl9st1Jycnpk6dytmzZ8urSgCuXLlSrvUV+O2333jiiSeYOnXqHalfbk1qQirtBrfj0I5DnM85Xy51urq74uDoUC51idxL7tR5uzQLFixg5MiRLFiwoNzqrFy5Mh4eHlb7ha7I7VBWRWyDsipiG5RVEdugrIqtKLfJ9eDgYDw8PIiNjS2xzLhx4/Dz8yu0bObMmXh5eZlfDxo0iOeee45JkyZRt25dmjZtCsCcOXNo0qQJTk5OuLu707t3b/M2+fn5xMbG0rBhQ6pUqYKvry8rV668aX8HDBjA2LFjCQ4OtvzNyh1x+dfL7Fmzh8BXAvEJ8WHn0p3mdbnncvnwbx/yRpM3iKobxcTWE0ldkgrAtSvXWDlyJWO9xxJZJ5Lxj45n4783mrf9861YjqQeYVrQNCLrRDLjyRl8ve5rhtUYxonMEwAc/PIgw2oM49ut3zLjyRlEPRTFzM4zOX3wdKH+ZiZl8maHN4msE8mElhPYMHUDedfyzOt/PPQjs7rNIrJOJLGPx3Jg84E7st9EblVZztsAq1atonnz5jg6OuLl5cWMGTPM6zp06MCxY8eIiIjAYDCU+mFh69atXLp0iZiYGC5cuMD27dsLrd+7dy8dO3bExcUFV1dXWrVqRVpaGgDHjh2je/fuVK9eHWdnZ5o3b05SUhJQ/KVt8+fPx9PTkwceeICePXsSFxdHtWrVzOsLxqQPP/wQLy8v3Nzc6NevHxcvXjSXKcv4kpSUhNFopEqVKnTs2JGjR4/edB+IWEpZVVbFNiiryqrYBmVVWRXboKwqq7ai3CbX7e3tmTx5MrNnz+bEiRO3VdemTZs4cOAAGzduJDExkbS0NIYOHUpMTAwHDhxgw4YNBAUFmcvHxsayePFi5s6dy759+4iIiKB///5s3br1dt+W3EV71uyhdpPauDdxp3Wf1qQuScVkMgGQNDmJUwdO8eqKVxn11SheePMFnB90BmDbvG18s/4bBi4YyD93/pMB7w2gRv0axbbx+4Xfmf/X+dT1qUvk5ki6ju7Kp+M/Lbbsuonr6DGhByM2jcDOwY5lQ5aZ1x3acYglf19C0KtBjNoxij5xfdi5dCcbZ1yf1M/Pz2fBSwtwqOxAxMYI+sT1KbEdkYpSlvN2eno6ffr0oV+/fmRmZjJu3DjGjBnDwoULgeu32KpXrx4xMTHk5OSQk5Nz0zbj4+MJDQ2lUqVKhIaGEh8fX2j9iy++SL169di1axfp6emMGjWKSpUqAfDaa69x+fJltm3bRmZmJlOnTqVq1arFtpOSkkJ4eDivv/46GRkZhISEMGnSpCLlDh06xJo1a0hMTCQxMZGtW7cWuvSwtPHl+++/5/nnn6d79+5kZGQQFhbGqFGjbroPRCylrCqrYhuUVWVVbIOyqqyKbVBWlVVbUa73yujZsyd+fn5ER0cXOQAt4ezszPvvv0/lypWB62FwdnbmmWeewcXFhQYNGtCyZUsALl++zOTJk/n8889p27YtAI0aNeLLL79k3rx5tG/f/vbfmNwVqQmptH6hNQDNOjXj0oVLfJfyHU2eaMLZE2d5qMVD1G9ZH4AH6z9o3u7sybPUalyLRo83wmAwUMOz+Il1gPRV6RgMBvrO7Eslp0p4NPPgfM55lg9bXqRst3914+HAhwEIHhbMe33f4+rvV6nkVInPpn1Gp2GdCAgNAKCmV02e/ufTrB23li7/6MK3W77l9MHThK8Mx62Om7m+eX3mlc/OEiknpZ234+Li6NSpE2PGjAHAaDSSlZXF9OnTGTRoEDVq1MDe3h4XFxc8PDxu2taFCxdYuXIlO3bsAKB///60a9eOt956y/yh4/jx40RFRdGsWTMAmjRpYt7++PHj9OrVixYtWgDXz/UlmT17Nl27diUyMtLc7+3bt5OYmFioXH5+PgsXLsTFxQW4flXTpk2bmDRpUpnGl3fffZfGjRubfx3RtGlT8wcpkfKkrCqrYhuUVWVVbIOyqqyKbVBWlVVbUG6/XC8wdepUFi1aRHZ29i3X0aJFC/PEOkBISAgNGjSgUaNGDBgwgCVLlpCbmwvAd999R25uLiEhIVStWtX8t3jxYg4dOnTb70fujtMHT3Ns9zH8e/kDYO9gT8ueLUlNuH7rl8CXA9nzyR6mBU1jbfRajqQeMW8bEBrAycyTTA6YzKpRq9ifvL/Eds4cPEPd5nWp5FTJvKxBqwbFlq3bvK75367urgD8+tOvAJz85iT/nf5fRnqONP8tH7acC6cucCX3Cqe/PU31h6qbJ9YBvAK8LNwrInfHzc7b2dnZBAYGFloWGBjIwYMHycvLK1L+ZpYuXUrjxo3x9fUFwM/PjwYNGrB8+Y0vt4YPH05YWBjBwcFMmTKl0Hl86NChTJw4kcDAQKKjo/n666+LtFHgwIEDBAQEFFr259dw/eE2BR9UAOrUqcOZM2eAso0v2dnZPPbYY4XqLPhgI1LelFVlVWyDsqqsim1QVpVVsQ3KqrJq7cp9cj0oKIjOnTszevTooo3Z2Zlv81Hg6tWrRco5OzsXeu3i4sLu3btZunQpderUYezYsfj6+nLu3Dl+/fX6ZOe6devIyMgw/2VlZZV633WxHqkJqeRfyyfaJ5rhtYYzvNZwUhaksPfTvVy6cAmfEB+i90bT4e8dOH/qPHN6zuE/Y/4DgKevJ2P3jKXr6K5cvXSVha8s5IOBH9x2n+wq/SEe/3dbrvz8fACu/HaFLqO6ELU1yvw38suRvJH2Bg5Oeniq2JabnbfLU3x8PPv27cPBwcH8l5WVVehBMePGjWPfvn1069aN5ORkfHx8+OSTTwAICwvj8OHDDBgwgMzMTFq3bs3s2bNvq08Fl/AVMBgM5pxrfBFro6zeoKyKNVNWb1BWxZopqzcoq2LNlNUblFXrdEdmAadMmYKfn5/5YaQFatWqxalTpzCZTOaHCGRkZJSpTgcHB4KDgwkODiY6Oppq1aqRnJxMSEgIjo6OHD9+XLeAsVF51/LYtXwXPSb0oFnHZoXWxQ+IZ/eq3QS+HEjVmlUJCA0gIDSAlLYprB27lh4TegDg5OqE//P++D/vj++zvsx7YR6/nf0N5+qFv6ip3aQ2aR+nce3yNRwcrx/+x3cft7jP9R6tx5mDZ6jVqFax692N7pw9eZbzp87j5nH91+tHdx21uB2Ru6Wk87a3tzcpKSmFlqWkpGA0GrG3tweuP/m8tF8FZGZmkpaWxpYtW6hR48atm3755Rc6dOjA/v37zZfWGY1GjEYjERERhIaG8sEHH9CzZ08APD09CQ8PJzw8nNGjRzN//nyGDBlSpL2mTZuya9euQsv+/Lo0Pj4+pY4v3t7erF27ttCyr776yqJ2RCyhrBalrIo1UlaLUlbFGimrRSmrYo2U1aKUVetxRybXW7RowYsvvsisWbMKLe/QoQM//vgj06ZNo3fv3mzYsIH169fj6up60/oSExM5fPgwQUFBVK9enaSkJPLz82natCkuLi5ERkYSERFBfn4+TzzxBOfPnyclJQVXV1cGDhxYbJ2//PILx48f54cffgCuX5IB4OHhUep9mKR87ftsH7nncnl8wONUca1SaN2j3R/lq4SvOJ9zHk8/TzyaeXDt8jWyPsvC3egOwOZ3NuPq4Uq9FvUw2BnY+5+9uLq7UsWtSpG2WvVqxbqJ61gesZxOr3fi7ImzJL+dDFDqU6P/6Kmop5gfOp/q9arj+6wvBjsDP3zzAzn7c+j2RjeMHYzUblybj/73I56NeZbfL/5O0qSk29hLIndWSeftESNG0KZNGyZMmEDfvn3ZsWMHb7/9NnPmzDGX8fLyYtu2bfTr1w9HR0dq1qxZpP74+HgCAgIKPYy6QJs2bYiPjycmJoaoqCh69+5Nw4YNOXHiBLt27aJXr14ADBs2jK5du2I0Gjl79iybN2/G29u72PczZMgQgoKCiIuLo3v37iQnJ7N+/XqLcl6W8SU8PJwZM2YQFRVFWFgY6enp5ofniNwJympRyqpYI2W1KGVVrJGyWpSyKtZIWS1KWbUe5X5bmAIxMTHmSxUKeHt7M2fOHN555x18fX3ZuXOn+eb9N1OtWjVWr17Nk08+ibe3N3PnzmXp0qU0b94cgAkTJjBmzBhiY2Px9vamS5curFu3joYNG5ZY59q1a2nZsiXdunUDoF+/frRs2ZK5c+fexruWW5GakErT9k2LTKwD+Hb35fs932PnYEdiTCLT2k1j9jOzMdgbGBh//YsTp6pOJM9KZkanGcR1iuOX73/hb8v/hp1d0cPbydWJwR8N5mTmSaa3n07SpCQ6j+wMYP4le1l4d/Jm8NLBHNh8gLjgOGY+NZMt726hRr3r33Da2dnxyoevcPX3q8QFx7Hs9WU8/cbTt7J7RO6a4s7b/v7+rFixgmXLlvHII48wduxYYmJiGDRoUKHtjh49SuPGjalVq+jVHFeuXCEhIcH8oePPevXqxeLFi7Gzs+Pnn3/mpZdewmg00qdPH7p27cr48eMByMvL47XXXjOf541GY6EPTX8UGBjI3LlziYuLw9fXlw0bNhAREYGTk5NF+6S08aV+/fqsWrWKNWvW4Ovry9y5c5k8ebJFbYhYSlktSlkVa6SsFqWsijVSVotSVsUaKatFKavWwWD6803Qi7F7925atWpFeno6/v7+d6NfVmfJkiX079+fEZtH4OnrWdHdkXKU9nEaS//fUmKPxlK5SuXSNxCrlvZxGgmvJtzX5ysp3uDBg9m/fz9ffPFFRXdFuDGuKqvyZ8qqdVFWpSTKqnVRVqUkyqr1UV6lOMqq9SnrfLievCj3nZ3LdlLTqyZuddw4+c1JPh33KX7P+WliXeQe8+abbxISEoKzszPr169n0aJFJf5yQEQqjrIqYhuUVRHboKyK2AZl9d6hyXW571w8c5H1seu5eOYiru6u+PXwo9u/ulV0t0SknO3cuZNp06Zx8eJFGjVqxKxZswgLC6vobonInyirIrZBWRWxDcqqiG1QVu8dmlyX+06noZ3oNLRTRXdDRO6wFStWVHQXRKQMlFUR26CsitgGZVXENiir94479kBTEREREREREREREZF7lSbXRUREREREREREREQspMl1ERERERERERERERELaXJdRERERERERERERMRCFj3QNCkpiezs7DvVF6uWkpICQNbnWZz+9nQF90ZESnI49TBwf5+vRGxBwbiqrIpYN2VVxDYoqyK2Q3kVsQ1HjhwpUzmDyWQylVZox44dtGvXjry8vNvumC0z2Bkw5Ze6u0SkgtnZ2ZGfn1/R3RCRUiirIrZBWRWxDcqqiO1QXkVsg729PV988QVt27YtsUyZfrnu6OhIXl4eCQkJeHt7l1sHbUlSUhJjxoyh/7z+uBvdK7o7IlKCrM+zWD9p/X19vhKxBQXjqrIqYt2UVRHboKyK2A7lVcQ2ZGdn079/fxwdHW9azqLbwnh7e+Pv739bHbNVBZfquBvd8fT1rODeiEhJCm7bdD+fr0RsQcG4qqyKWDdlVcQ2KKsitkN5Fbm36IGmIiIiIiIiIiIiIiIW0uS6iIiIiIiIiIiIiIiFNLkuIiIiIiIiIiIiImIhTa7LPW9YjWF8ve7riu4GYF19EbmXbNmyBYPBwLlz5yq6K1bVFxFrY035sKa+iFgba8qHNfVFxNpYUz6sqS8i1saa8mFNfblXlMvk+qBBgzAYDEyZMqXQ8jVr1mAwGMqjiXJ19epV/vGPf9CiRQucnZ2pW7cuL730Ej/88ENFd+2+d2TnESJqRvBe3/fKrc6Y7Bh8gn3KrT6Re0F5nre9vLyYOXNmmcvHxsZib2/P9OnTLWrnZv7yl7+Qk5ODm5tbudUpYg2UVRHboKyK2AZlVcQ2KKtiS8rtl+tOTk5MnTqVs2fPlleVAFy5cqVc6wPIzc1l9+7djBkzht27d7N69WoOHDjAs88+W+5tiWVSE1JpN7gdh3Yc4nzO+XKp09XdFQdHh3KpS+RecqfO26VZsGABI0eOZMGCBeVWZ+XKlfHw8LDKL3RFbpeyKmIblFUR26CsitgGZVVsRblNrgcHB+Ph4UFsbGyJZcaNG4efn1+hZTNnzsTLy8v8etCgQTz33HNMmjSJunXr0rRpUwDmzJlDkyZNcHJywt3dnd69e5u3yc/PJzY2loYNG1KlShV8fX1ZuXJlif1wc3Nj48aN9OnTh6ZNm/L444/z9ttvk56ezvHjx29tB8htu/zrZfas2UPgK4H4hPiwc+lO87rcc7l8+LcPeaPJG0TVjWJi64mkLkkF4NqVa6wcuZKx3mOJrBPJ+EfHs/HfG83b/vlWLEdSjzAtaBqRdSKZ8eQMvl73NcNqDONE5gkADn55kGE1hvHt1m+Z8eQMoh6KYmbnmZw+eLpQfzOTMnmzw5tE1olkQssJbJi6gbxreeb1Px76kVndZhFZJ5LYx2M5sPnAHdlvIreqLOdtgFWrVtG8eXMcHR3x8vJixowZ5nUdOnTg2LFjREREYDAYSv2wsHXrVi5dukRMTAwXLlxg+/bthdbv3buXjh074uLigqurK61atSItLQ2AY8eO0b17d6pXr46zszPNmzcnKSkJKP7Stvnz5+Pp6ckDDzxAz549iYuLo1q1aub1BWPShx9+iJeXF25ubvTr14+LFy+ay5RlfElKSsJoNFKlShU6duzI0aNHb7oPRCylrCqrYhuUVWVVbIOyqqyKbVBWlVVbUW6T6/b29kyePJnZs2dz4sSJ26pr06ZNHDhwgI0bN5KYmEhaWhpDhw4lJiaGAwcOsGHDBoKCgszlY2NjWbx4MXPnzmXfvn1ERETQv39/tm7dWuY2z58/j8FgKHQgy921Z80eajepjXsTd1r3aU3qklRMJhMASZOTOHXgFK+ueJVRX43ihTdfwPlBZwC2zdvGN+u/YeCCgfxz5z8Z8N4AatSvUWwbv1/4nfl/nU9dn7pEbo6k6+iufDr+02LLrpu4jh4TejBi0wjsHOxYNmSZed2hHYdY8vclBL0axKgdo+gT14edS3eyccb1Sf38/HwWvLQAh8oORGyMoE9cnxLbEakoZTlvp6en06dPH/r160dmZibjxo1jzJgxLFy4EIDVq1dTr149YmJiyMnJIScn56ZtxsfHExoaSqVKlQgNDSU+Pr7Q+hdffJF69eqxa9cu0tPTGTVqFJUqVQLgtdde4/Lly2zbto3MzEymTp1K1apVi20nJSWF8PBwXn/9dTIyMggJCWHSpElFyh06dIg1a9aQmJhIYmIiW7duLXTpYWnjy/fff8/zzz9P9+7dycjIICwsjFGjRt10H4hYSllVVsU2KKvKqtgGZVVZFdugrCqrtqJc75XRs2dP/Pz8iI6OLnIAWsLZ2Zn333+fypUrA9fD4OzszDPPPIOLiwsNGjSgZcuWAFy+fJnJkyfz+eef07ZtWwAaNWrEl19+ybx582jfvn2p7f3+++/84x//IDQ0FFdX11vut9ye1IRUWr/QGoBmnZpx6cIlvkv5jiZPNOHsibM81OIh6resD8CD9R80b3f25FlqNa5Fo8cbYTAYqOFZ/MQ6QPqqdAwGA31n9qWSUyU8mnlwPuc8y4ctL1K227+68XDgwwAEDwvmvb7vcfX3q1RyqsRn0z6j07BOBIQGAFDTqyZP//Np1o5bS5d/dOHbLd9y+uBpwleG41bHzVzfvD7zymdniZST0s7bcXFxdOrUiTFjxgBgNBrJyspi+vTpDBo0iBo1amBvb4+LiwseHh43bevChQusXLmSHTt2ANC/f3/atWvHW2+9Zf7Qcfz4caKiomjWrBkATZo0MW9//PhxevXqRYsWLYDr5/qSzJ49m65duxIZGWnu9/bt20lMTCxULj8/n4ULF+Li4gLAgAED2LRpE5MmTSrT+PLuu+/SuHFj868jmjZtav4gJVKelFVlVWyDsqqsim1QVpVVsQ3KqrJqC8rtl+sFpk6dyqJFi8jOzr7lOlq0aGGeWAcICQmhQYMGNGrUiAEDBrBkyRJyc3MB+O6778jNzSUkJISqVaua/xYvXsyhQ4dKbevq1av06dMHk8nEu+++e8t9lttz+uBpju0+hn8vfwDsHexp2bMlqQnXb/0S+HIgez7Zw7SgaayNXsuR1CPmbQNCAziZeZLJAZNZNWoV+5P3l9jOmYNnqNu8LpWcKpmXNWjVoNiydZvXNf/b1f36ly6//vQrACe/Ocl/p/+XkZ4jzX/Lhy3nwqkLXMm9wulvT1P9oermiXUArwAvC/eKyN1xs/N2dnY2gYGBhZYFBgZy8OBB8vLyipS/maVLl9K4cWN8fX0B8PPzo0GDBixffuPLreHDhxMWFkZwcDBTpkwpdB4fOnQoEydOJDAwkOjoaL7++usibRQ4cOAAAQEBhZb9+TVcf7hNwQcVgDp16nDmzBmgbONLdnY2jz32WKE6Cz7YiJQ3ZVVZFdugrCqrYhuUVWVVbIOyqqxau3KfXA8KCqJz586MHj26aGN2dubbfBS4evVqkXLOzs6FXru4uLB7926WLl1KnTp1GDt2LL6+vpw7d45ff70+2blu3ToyMjLMf1lZWTe973pB23369OHYsWNs3LhRv1qvQKkJqeRfyyfaJ5rhtYYzvNZwUhaksPfTvVy6cAmfEB+i90bT4e8dOH/qPHN6zuE/Y/4DgKevJ2P3jKXr6K5cvXSVha8s5IOBH9x2n+wq/SEe/3dbrvz8fACu/HaFLqO6ELU1yvw38suRvJH2Bg5Oeniq2JabnbfLU3x8PPv27cPBwcH8l5WVVehBMePGjWPfvn1069aN5ORkfHx8+OSTTwAICwvj8OHDDBgwgMzMTFq3bs3s2bNvq08Fl/AVMBgM5pzfzvgicicoqzcoq2LNlNUblFWxZsrqDcqqWDNl9QZl1TrdkVnAKVOm4OfnZ34YaYFatWpx6tQpTCaT+SECGRkZZarTwcGB4OBggoODiY6Oplq1aiQnJxMSEoKjoyPHjx8v0y1gChRMrB88eJDNmzfz4IMPlr6R3BF51/LYtXwXPSb0oFnHZoXWxQ+IZ/eq3QS+HEjVmlUJCA0gIDSAlLYprB27lh4TegDg5OqE//P++D/vj++zvsx7YR6/nf0N5+qFv6ip3aQ2aR+nce3yNRwcrx/+x3db/hDbeo/W48zBM9RqVKvY9e5Gd86ePMv5U+dx87j+6/Wju45a3I7I3VLSedvb25uUlJRCy1JSUjAajdjb2wPXn3xe2q8CMjMzSUtLY8uWLdSocePWTb/88gsdOnRg//795kvrjEYjRqORiIgIQkND+eCDD+jZsycAnp6ehIeHEx4ezujRo5k/fz5Dhgwp0l7Tpk3ZtWtXoWV/fl0aHx+fUscXb29v1q5dW2jZV199ZVE7IpZQVotSVsUaKatFKatijZTVopRVsUbKalHKqvW4I5PrLVq04MUXX2TWrFmFlnfo0IEff/yRadOm0bt3bzZs2MD69etL/cV4YmIihw8fJigoiOrVq5OUlER+fj5NmzbFxcWFyMhIIiIiyM/P54knnuD8+fOkpKTg6urKwIEDi9R39epVevfuze7du0lMTCQvL49Tp04BUKNGjUK3pJE7b99n+8g9l8vjAx6nimuVQuse7f4oXyV8xfmc83j6eeLRzINrl6+R9VkW7kZ3ADa/sxlXD1fqtaiHwc7A3v/sxdXdlSpuVYq01apXK9ZNXMfyiOV0er0TZ0+cJfntZIBSnxr9R09FPcX80PlUr1cd32d9MdgZ+OGbH8jZn0O3N7ph7GCkduPafPS/H/FszLP8fvF3kiYl3cZeErmzSjpvjxgxgjZt2jBhwgT69u3Ljh07ePvtt5kzZ465jJeXF9u2baNfv344OjpSs2bNIvXHx8cTEBBQ6GHUBdq0aUN8fDwxMTFERUXRu3dvGjZsyIkTJ9i1axe9evUCYNiwYXTt2hWj0cjZs2fZvHkz3t7exb6fIUOGEBQURFxcHN27dyc5OZn169dblPOyjC/h4eHMmDGDqKgowsLCSE9PNz88R+ROUFaLUlbFGimrRSmrYo2U1aKUVbFGympRyqr1KPfbwhSIiYkxX6pQwNvbmzlz5vDOO+/g6+vLzp07zTfvv5lq1aqxevVqnnzySby9vZk7dy5Lly6lefPmAEyYMIExY8YQGxuLt7c3Xbp0Yd26dTRs2LDY+k6ePMnatWs5ceIEfn5+1KlTx/y3ffv223/zYpHUhFSatm9aZGIdwLe7L9/v+R47BzsSYxKZ1m4as5+ZjcHewMD461+cOFV1InlWMjM6zSCuUxy/fP8Lf1v+N+zsih7eTq5ODP5oMCczTzK9/XSSJiXReWRnAPMv2cvCu5M3g5cO5sDmA8QFxzHzqZlseXcLNepd/4bTzs6OVz58hau/XyUuOI5lry/j6TeevpXdI3LXFHfe9vf3Z8WKFSxbtoxHHnmEsWPHEhMTw6BBgwptd/ToURo3bkytWkWv5rhy5QoJCQnmDx1/1qtXLxYvXoydnR0///wzL730EkajkT59+tC1a1fGjx8PQF5eHq+99pr5PG80Ggt9aPqjwMBA5s6dS1xcHL6+vmzYsIGIiAicnJws2ieljS/169dn1apVrFmzBl9fX+bOncvkyZMtakPEUspqUcqqWCNltShlVayRslqUsirWSFktSlm1DgbTn2+CXozdu3fTqlUr0tPT8ff3vxv9sjpLliyhf//+jNg8Ak9fz4rujpSjtI/TWPr/lhJ7NJbKVXTVgq1L+ziNhFcT7uvzlRRv8ODB7N+/ny+++KKiuyLcGFeVVfkzZdW6KKtSEmXVuiirUhJl1foor1IcZdX6lHU+XE9elPvOzmU7qelVE7c6bpz85iSfjvsUv+f8NLEuco958803CQkJwdnZmfXr17No0aISfzkgIhVHWRWxDcqqiG1QVkVsg7J679Dkutx3Lp65yPrY9Vw8cxFXd1f8evjR7V/dKrpbIlLOdu7cybRp07h48SKNGjVi1qxZhIWFVXS3RORPlFUR26CsitgGZVXENiir9w5Nrst9p9PQTnQa2qmiuyEid9iKFSsqugsiUgbKqohtUFZFbIOyKmIblNV7xx17oKmIiIiIiIiIiIiIyL1Kk+siIiIiIiIiIiIiIhbS5LqIiIiIiIiIiIiIiIUsuud6UlIS2dnZd6ovVi0lJQWArM+zOP3t6QrujYiU5HDqYeD+Pl+J2IKCcVVZFbFuyqqIbVBWRWyH8ipiG44cOVKmcgaTyWQqrdCOHTto164deXl5t90xW2ZnZ0d+fn5Fd0NESqGsitgGg50BU36pH0NEpIJpXBWxDcqqiO1QXkVsg729PV988QVt27YtsUyZfrnu6OhIXl4eCQkJeHt7l1sHbUlSUhJjxoy5r/eBiC1QVkVsQ0FW+8/rj7vRvaK7IyIlyPo8i/WT1mtcFbFy+gwsYjuUVxHbkJ2dTf/+/XF0dLxpOYtuC+Pt7Y2/v/9tdcxWFVyqcz/vAxFboKyK2IaCrLob3fH09azg3ohISQpuh6hxVcS66TOwiO1QXkXuLXqgqYiIiIiIiIiIiIiIhTS5LiIiIiIiIiIiIiJiIU2ui4iIiIiIiIiIiIhYSJPrIiXYsmULBoOBc+fOVXRXrKovItbImjJiTX0RuROG1RjG1+u+ruhuANbVF5F7iTWNZdbUFxFrY035sKa+iFgba8qHNfXlXlEuk+uDBg3CYDAwZcqUQsvXrFmDwWAojybK3bhx42jWrBnOzs5Ur16d4OBgUlNTK7pbNq08jwMvLy9mzpxZ5vKxsbHY29szffp0i9q5mb/85S/k5OTg5uZWbnWKWAvlVeT+cGTnESJqRvBe3/fKrc6Y7Bh8gn3KrT6Re4HGVRHboKyK2AZlVWxJuf1y3cnJialTp3L27NnyqhKAK1eulGt9BYxGI2+//TaZmZl8+eWXeHl58dRTT/Hjjz/ekfbuF3fqOCjNggULGDlyJAsWLCi3OitXroyHh4fVfkEkcruUV5F7X2pCKu0Gt+PQjkOczzlfLnW6urvi4OhQLnWJ3Es0rorYBmVVxDYoq2Irym1yPTg4GA8PD2JjY0ssM27cOPz8/AotmzlzJl5eXubXgwYN4rnnnmPSpEnUrVuXpk2bAjBnzhyaNGmCk5MT7u7u9O7d27xNfn4+sbGxNGzYkCpVquDr68vKlStv2t+//vWvBAcH06hRI5o3b05cXBwXLlzg6691afHtKMtxALBq1SqaN2+Oo6MjXl5ezJgxw7yuQ4cOHDt2jIiICAwGQ6knn61bt3Lp0iViYmK4cOEC27dvL7R+7969dOzYERcXF1xdXWnVqhVpaWkAHDt2jO7du1O9enWcnZ1p3rw5SUlJQPGXysyfPx9PT08eeOABevbsSVxcHNWqVTOvLzjGP/zwQ7y8vHBzc6Nfv35cvHjRXKYsx2tSUhJGo5EqVarQsWNHjh49etN9IHIrlFflVe5tl3+9zJ41ewh8JRCfEB92Lt1pXpd7LpcP//YhbzR5g6i6UUxsPZHUJdev4Lt25RorR65krPdYIutEMv7R8Wz890bztn++FcuR1CNMC5pGZJ1IZjw5g6/Xfc2wGsM4kXkCgINfHmRYjWF8u/VbZjw5g6iHopjZeSanD54u1N/MpEze7PAmkXUimdByAhumbiDvWp55/Y+HfmRWt1lE1okk9vFYDmw+cEf2m8it0riqcVVsg7KqrIptUFaVVVtRbpPr9vb2TJ48mdmzZ3PixInbqmvTpk0cOHCAjRs3kpiYSFpaGkOHDiUmJoYDBw6wYcMGgoKCzOVjY2NZvHgxc+fOZd++fURERNC/f3+2bt1apvauXLnCe++9h5ubG76+vrfV9/tdWY6D9PR0+vTpQ79+/cjMzGTcuHGMGTOGhQsXArB69Wrq1atHTEwMOTk55OTk3LTN+Ph4QkNDqVSpEqGhocTHxxda/+KLL1KvXj127dpFeno6o0aNolKlSgC89tprXL58mW3btpGZmcnUqVOpWrVqse2kpKQQHh7O66+/TkZGBiEhIUyaNKlIuUOHDrFmzRoSExNJTExk69athS5lKu14/f7773n++efp3r07GRkZhIWFMWrUqJvuA5Fbobwqr3Jv27NmD7Wb1Ma9iTut+7QmdUkqJpMJgKTJSZw6cIpXV7zKqK9G8cKbL+D8oDMA2+Zt45v13zBwwUD+ufOfDHhvADXq1yi2jd8v/M78v86nrk9dIjdH0nV0Vz4d/2mxZddNXEePCT0YsWkEdg52LBuyzLzu0I5DLPn7EoJeDWLUjlH0ievDzqU72Tjj+qR+fn4+C15agENlByI2RtAnrk+J7YhUFI2rGlfFNiiryqrYBmVVWbUV5XpNb8+ePfHz8yM6OrrIAWgJZ2dn3n//fSpXrgxcD4OzszPPPPMMLi4uNGjQgJYtWwJw+fJlJk+ezOeff07btm0BaNSoEV9++SXz5s2jffv2JbaTmJhIv379yM3NpU6dOmzcuJGaNWvecr/lutKOg7i4ODp16sSYMWOA67foycrKYvr06QwaNIgaNWpgb2+Pi4sLHh4eN23rwoULrFy5kh07dgDQv39/2rVrx1tvvWU+iR0/fpyoqCiaNWsGQJMmTczbHz9+nF69etGiRQvg+rFTktmzZ9O1a1ciIyPN/d6+fTuJiYmFyuXn57Nw4UJcXFwAGDBgAJs2bWLSpEllOl7fffddGjdubP62tWnTpuYTs0h5U16VV7l3pSak0vqF1gA069SMSxcu8V3KdzR5oglnT5zloRYPUb9lfQAerP+gebuzJ89Sq3EtGj3eCIPBQA3P4ifWAdJXpWMwGOg7sy+VnCrh0cyD8znnWT5seZGy3f7VjYcDHwYgeFgw7/V9j6u/X6WSUyU+m/YZnYZ1IiA0AICaXjV5+p9Ps3bcWrr8owvfbvmW0wdPE74yHLc6bub65vWZVz47S6ScaFzVuCq2QVlVVsU2KKvKqi0ot1+uF5g6dSqLFi0iOzv7luto0aKFeWIdICQkhAYNGtCoUSMGDBjAkiVLyM3NBeC7774jNzeXkJAQqlatav5bvHgxhw4dumk7HTt2JCMjg+3bt9OlSxf69OnDmTNnbrnfcsPNjoPs7GwCAwMLLQsMDOTgwYPk5eUVKX8zS5cupXHjxuYrDvz8/GjQoAHLl9/4n/rhw4cTFhZGcHAwU6ZMKXRcDB06lIkTJxIYGEh0dPRNbwt04MABAgICCi3782u4/rCMghMfQJ06dczHVVmO1+zsbB577LFCdRacKEXuBOVVeZV7z+mDpzm2+xj+vfwBsHewp2XPlqQmXL/1S+DLgez5ZA/TgqaxNnotR1KPmLcNCA3gZOZJJgdMZtWoVexP3l9iO2cOnqFu87pUcqpkXtagVYNiy9ZtXtf8b1d3VwB+/elXAE5+c5L/Tv8vIz1Hmv+WD1vOhVMXuJJ7hdPfnqb6Q9XNE+sAXgFeFu4VkbtD46rGVbENyqqyKrZBWVVWrV25T64HBQXRuXNnRo8eXbQxOzvz5cgFrl69WqScs7NzodcuLi7s3r2bpUuXUqdOHcaOHYuvry/nzp3j11+v/0/ZunXryMjIMP9lZWWVet91Z2dnHn74YR5//HHi4+NxcHC4rV/cyw03Ow7KU3x8PPv27cPBwcH8l5WVVejBE+PGjWPfvn1069aN5ORkfHx8+OSTTwAICwvj8OHDDBgwgMzMTFq3bs3s2bNvq08FlwQVMBgM5OfnA9zW8SpypyivNyivcq9ITUgl/1o+0T7RDK81nOG1hpOyIIW9n+7l0oVL+IT4EL03mg5/78D5U+eZ03MO/xnzHwA8fT0Zu2csXUd35eqlqyx8ZSEfDPzgtvtkV+kPHzv/73aXBXm78tsVuozqQtTWKPPfyC9H8kbaGzg46eGpYls0rt6gcVWsmbJ6g7Iq1kxZvUFZtU535P9WpkyZgp+fn/lhpAVq1arFqVOnMJlM5ocIZGRklKlOBwcHgoODCQ4OJjo6mmrVqpGcnExISAiOjo4cP378preAKYv8/HwuX758W3XIDSUdB97e3qSkpBRalpKSgtFoxN7eHrj+JOXSvmXMzMwkLS2NLVu2UKPGjUvWf/nlFzp06MD+/fvNl+oYjUaMRiMRERGEhobywQcf0LNnTwA8PT0JDw8nPDyc0aNHM3/+fIYMGVKkvaZNm7Jr165Cy/78ujQ+Pj6lHq/e3t6sXbu20LKvvvrKonZELKW8FqW8iq3Ku5bHruW76DGhB806Niu0Ln5APLtX7Sbw5UCq1qxKQGgAAaEBpLRNYe3YtfSY0AMAJ1cn/J/3x/95f3yf9WXeC/P47exvOFcv/AOI2k1qk/ZxGtcuX8PB8frHyuO7j1vc53qP1uPMwTPUalSr2PXuRnfOnjzL+VPncfO4/uv1o7uOWtyOyN2icbUojatijZTVopRVsUbKalHKqvW4I5PrLVq04MUXX2TWrFmFlnfo0IEff/yRadOm0bt3bzZs2MD69etxdXW9aX2JiYkcPnyYoKAgqlevTlJSEvn5+TRt2hQXFxciIyOJiIggPz+fJ554gvPnz5OSkoKrqysDBw4sUt9vv/3GpEmTePbZZ6lTpw4//fQT77zzDidPnuSFF14o131xPyvpOBgxYgRt2rRhwoQJ9O3blx07dvD2228zZ84ccxkvLy+2bdtGv379cHR0LPZe+PHx8QQEBBR6uG2BNm3aEB8fT0xMDFFRUfTu3ZuGDRty4sQJdu3aRa9evQAYNmwYXbt2xWg0cvbsWTZv3oy3t3ex72fIkCEEBQURFxdH9+7dSU5OZv369aU+bfqPynK8hoeHM2PGDKKioggLCyM9Pd38MA6RO0V5LUp5FVu177N95J7L5fEBj1PFtUqhdY92f5SvEr7ifM55PP088WjmwbXL18j6LAt3ozsAm9/ZjKuHK/Va1MNgZ2Dvf/bi6u5KFbcqRdpq1asV6yauY3nEcjq93omzJ86S/HYygEV5eyrqKeaHzqd6ver4PuuLwc7AD9/8QM7+HLq90Q1jByO1G9fmo//9iGdjnuX3i7+TNCnpNvaSyJ2lcbUojatijZTVopRVsUbKalHKqvUo99vCFIiJiTFfqlDA29ubOXPm8M477+Dr68vOnTvNN++/mWrVqrF69WqefPJJvL29mTt3LkuXLqV58+YATJgwgTFjxhAbG4u3tzddunRh3bp1NGzYsNj67O3t2b9/P7169cJoNNK9e3d+/vlnvvjiC3OdUj6KOw78/f1ZsWIFy5Yt45FHHmHs2LHExMQwaNCgQtsdPXqUxo0bU6tW0V+xXblyhYSEBPNJ7M969erF4sWLsbOz4+eff+all17CaDTSp08funbtyvjx4wHIy8vjtddeMx83RqOx0En4jwIDA5k7dy5xcXH4+vqyYcMGIiIicHJysmiflHa81q9fn1WrVrFmzRp8fX2ZO3cukydPtqgNkVuhvBalvIotSk1IpWn7pkUm1gF8u/vy/Z7vsXOwIzEmkWntpjH7mdkY7A0MjL/+gwSnqk4kz0pmRqcZxHWK45fvf+Fvy/+GnV3Rj41Ork4M/mgwJzNPMr39dJImJdF5ZGcA8y/Zy8K7kzeDlw7mwOYDxAXHMfOpmWx5dws16l3/5ZCdnR2vfPgKV3+/SlxwHMteX8bTbzx9K7tH5K7RuFqUxlWxRspqUcqqWCNltShl1ToYTH++CXoxdu/eTatWrUhPT8ff3/9u9MvqLFmyhP79+9/X+0CKGjx4MPv37+eLL76o6K7I/1FWpSTKq3UpyOqIzSPw9PWs6O5IOUr7OI2l/28psUdjqVylcukbiFVL+ziNhFcTNK5KERpXrYs+A0tJlFXro7xKcZRV61PW+XA9IUrEAm+++SYhISE4Ozuzfv16Fi1aVOI3kSJSsZRXkbtj57Kd1PSqiVsdN05+c5JPx32K33N+mlgXucdoXBWxDcqqiG1QVu8dmlwXscDOnTuZNm0aFy9epFGjRsyaNYuwsLCK7paIFEN5Fbk7Lp65yPrY9Vw8cxFXd1f8evjR7V/dKrpbIlLONK6K2AZlVcQ2KKv3Dk2ui1hgxYoVFd0FESkj5VXk7ug0tBOdhnaq6G6IyB2mcVXENiirIrZBWb133LEHmoqIiIiIiIiIiIiI3Ks0uS4iIiIiIiIiIiIiYiFNrouIiIiIiIiIiIiIWEiT6yIiIiIiIiIiIiIiFrLogaZJSUlkZ2ffqb5YtZSUFOD+3gcitkBZFbENBVnN+jyL09+eruDeiEhJDqceBjSuilg7fQYWsR3Kq4htOHLkSJnKGUwmk6m0Qjt27KBdu3bk5eXddsdsmZ2dHfn5+RXdDREphcHOgCm/1FObiFQwjasitkFZFbENyqqI7VBeRWyDvb09X3zxBW3bti2xTJl+ue7o6EheXh4JCQl4e3uXWwdtSVJSEmPGjLmv94GILSjIav95/XE3uld0d0SkBFmfZ7F+0nqNqyJWTp+BRWyDsipiO5RXEduQnZ1N//79cXR0vGk5i24L4+3tjb+//211zFYVXKpzP+8DEVtQkFV3ozuevp4V3BsRKUnBrWA0ropYN30GFrENyqqI7VBeRe4teqCpiIiIiIiIiIiIiIiFNLkuIiIiIiIiIiIiImIhTa6LlGDLli0YDAbOnTtX0V2xqr6I3CnDagzj63VfV3Q3AOvqi8i9xJrGM2vqi4i1saZ8WFNfRKyNNeXDmvoiYm2sKR/W1Jd7RblMrg8aNAiDwcCUKVMKLV+zZg0Gg6E8mrijwsPDMRgMzJw5s6K7YtPK8zjw8vKy6L9HbGws9vb2TJ8+3aJ2buYvf/kLOTk5uLm5lVudIveKIzuPEFEzgvf6vldudcZkx+AT7FNu9YncCzS2itgGZVXENiirIrZBWRVbUm6/XHdycmLq1KmcPXu2vKoE4MqVK+Va35998sknfPXVV9StW/eOtnO/uFPHQWkWLFjAyJEjWbBgQbnVWblyZTw8PGziCyKRuy01IZV2g9txaMchzuecL5c6Xd1dcXC06DnbIvcFja0itkFZFbENyqqIbVBWxVaU2+R6cHAwHh4exMbGllhm3Lhx+Pn5FVo2c+ZMvLy8zK8HDRrEc889x6RJk6hbty5NmzYFYM6cOTRp0gQnJyfc3d3p3bu3eZv8/HxiY2Np2LAhVapUwdfXl5UrV5ba55MnTzJkyBCWLFlCpUqVLHvDUqyyHAcAq1atonnz5jg6OuLl5cWMGTPM6zp06MCxY8eIiIjAYDCUevLZunUrly5dIiYmhgsXLrB9+/ZC6/fu3UvHjh1xcXHB1dWVVq1akZaWBsCxY8fo3r071atXx9nZmebNm5OUlAQUf6nM/Pnz8fT05IEHHqBnz57ExcVRrVo18/qCY/zDDz/Ey8sLNzc3+vXrx8WLF81lynK8JiUlYTQaqVKlCh07duTo0aM33Qcid9PlXy+zZ80eAl8JxCfEh51Ld5rX5Z7L5cO/fcgbTd4gqm4UE1tPJHVJKgDXrlxj5ciVjPUeS2SdSMY/Op6N/95o3vbPt2I5knqEaUHTiKwTyYwnZ/D1uq8ZVmMYJzJPAHDwy4MMqzGMb7d+y4wnZxD1UBQzO8/k9MHThfqbmZTJmx3eJLJOJBNaTmDD1A3kXcszr//x0I/M6jaLyDqRxD4ey4HNB+7IfhO5VRpbNbaKbVBWlVWxDcqqsiq2QVlVVm1FuU2u29vbM3nyZGbPns2JEyduq65NmzZx4MABNm7cSGJiImlpaQwdOpSYmBgOHDjAhg0bCAoKMpePjY1l8eLFzJ07l3379hEREUH//v3ZunVriW3k5+czYMAAoqKiaN68+W31V24oy3GQnp5Onz596NevH5mZmYwbN44xY8awcOFCAFavXk29evWIiYkhJyeHnJycm7YZHx9PaGgolSpVIjQ0lPj4+ELrX3zxRerVq8euXbtIT09n1KhR5i9TXnvtNS5fvsy2bdvIzMxk6tSpVK1atdh2UlJSCA8P5/XXXycjI4OQkBAmTZpUpNyhQ4dYs2YNiYmJJCYmsnXr1kKXMpV2vH7//fc8//zzdO/enYyMDMLCwhg1atRN94HI3bRnzR5qN6mNexN3WvdpTeqSVEwmEwBJk5M4deAUr654lVFfjeKFN1/A+UFnALbN28Y3679h4IKB/HPnPxnw3gBq1K9RbBu/X/id+X+dT12fukRujqTr6K58Ov7TYsuum7iOHhN6MGLTCOwc7Fg2ZJl53aEdh1jy9yUEvRrEqB2j6BPXh51Ld7JxxvVJ/fz8fBa8tACHyg5EbIygT1yfEtsRqSgaWzW2im1QVpVVsQ3KqrIqtkFZVVZtRblef9+zZ0/8/PyIjo4ucgBawtnZmffff5/KlSsD18Pg7OzMM888g4uLCw0aNKBly5YAXL58mcmTJ/P555/Ttm1bABo1asSXX37JvHnzaN++fbFtTJ06FQcHB4YOHXrL/ZTilXYcxMXF0alTJ8aMGQOA0WgkKyuL6dOnM2jQIGrUqIG9vT0uLi54eHjctK0LFy6wcuVKduzYAUD//v1p164db731lvkkdvz4caKiomjWrBkATZo0MW9//PhxevXqRYsWLYDrx05JZs+eTdeuXYmMjDT3e/v27SQmJhYql5+fz8KFC3FxcQFgwIABbNq0iUmTJpXpeH333Xdp3Lix+dvWpk2bmk/MItYgNSGV1i+0BqBZp2ZcunCJ71K+o8kTTTh74iwPtXiI+i3rA/Bg/QfN2509eZZajWvR6PFGGAwGangWP7EOkL4qHYPBQN+ZfankVAmPZh6czznP8mHLi5Tt9q9uPBz4MADBw4J5r+97XP39KpWcKvHZtM/oNKwTAaEBANT0qsnT/3yatePW0uUfXfh2y7ecPnia8JXhuNVxM9c3r8+88tlZIuVEY6vGVrENyqqyKrZBWVVWxTYoq8qqLSi3X64XmDp1KosWLSI7O/uW62jRooV5Yh0gJCSEBg0a0KhRIwYMGMCSJUvIzc0F4LvvviM3N5eQkBCqVq1q/lu8eDGHDh0qtv709HTeeustFi5cqPsd3SE3Ow6ys7MJDAwstCwwMJCDBw+Sl5dXpPzNLF26lMaNG+Pr6wuAn58fDRo0YPnyGxNww4cPJywsjODgYKZMmVLouBg6dCgTJ04kMDCQ6Ohovv766yJtFDhw4AABAQGFlv35NVx/WEbBiQ+gTp06nDlzBijb8Zqdnc1jjz1WqM6CE6VIRTt98DTHdh/Dv5c/APYO9rTs2ZLUhOu3fgl8OZA9n+xhWtA01kav5UjqEfO2AaEBnMw8yeSAyawatYr9yftLbOfMwTPUbV6XSk43btnVoFWDYsvWbX7jmRmu7q4A/PrTrwCc/OYk/53+X0Z6jjT/LR+2nAunLnAl9wqnvz1N9YeqmyfWAbwCvCzcKyJ3h8ZWja1iG5RVZVVsg7KqrIptUFaVVWtX7pPrQUFBdO7cmdGjRxdtzM7OfOuAAlevXi1SztnZudBrFxcXdu/ezdKlS6lTpw5jx47F19eXc+fO8euv1ydQ1q1bR0ZGhvkvKyurxPuuf/HFF5w5c4b69evj4OCAg4MDx44dY8SIEYXu/y637mbHQXmKj49n37595v+ODg4OZGVlFXrwxLhx49i3bx/dunUjOTkZHx8fPvnkEwDCwsI4fPgwAwYMIDMzk9atWzN79uzb6tOf799vMBjIz88HuKXjVcSapCakkn8tn2ifaIbXGs7wWsNJWZDC3k/3cunCJXxCfIjeG02Hv3fg/KnzzOk5h/+M+Q8Anr6ejN0zlq6ju3L10lUWvrKQDwZ+cNt9sqv0h6Hs/74vLcjcld+u0GVUF6K2Rpn/Rn45kjfS3sDBSQ9PFduisfUGja1izZTVG5RVsWbK6g3KqlgzZfUGZdU63ZGZhSlTpuDn52d+GGmBWrVqcerUKUwmk/kX4xkZGWWq08HBgeDgYIKDg4mOjqZatWokJycTEhKCo6Mjx48fL/EWMH82YMAAgoODCy3r3LkzAwYM4OWXXy5THVK6ko4Db29vUlJSCi1LSUnBaDRib28PXH+ScmnfMmZmZpKWlsaWLVuoUePG7SV++eUXOnTowP79+82X6hiNRoxGIxEREYSGhvLBBx/Qs2dPADw9PQkPDyc8PJzRo0czf/58hgwZUqS9pk2bsmvXrkLL/vy6ND4+PqUer97e3qxdu7bQsq+++sqidkTuhLxreexavoseE3rQrGOzQuviB8Sze9VuAl8OpGrNqgSEBhAQGkBK2xTWjl1Ljwk9AHBydcL/eX/8n/fH91lf5r0wj9/O/oZz9cJfqtZuUpu0j9O4dvkaDo7Xh6rju49b3Od6j9bjzMEz1GpUq9j17kZ3zp48y/lT53HzuP7r9aO7jlrcjsjdorG1KI2tYo2U1aKUVbFGympRyqpYI2W1KGXVetyRyfUWLVrw4osvMmvWrELLO3TowI8//si0adPo3bs3GzZsYP369bi6ut60vsTERA4fPkxQUBDVq1cnKSmJ/Px8mjZtiouLC5GRkURERJCfn88TTzzB+fPnSUlJwdXVlYEDBxap78EHH+TBBx8stKxSpUp4eHgUCarcupKOgxEjRtCmTRsmTJhA37592bFjB2+//TZz5swxl/Hy8mLbtm3069cPR0dHatasWaT++Ph4AgICCj3ctkCbNm2Ij48nJiaGqKgoevfuTcOGDTlx4gS7du2iV69eAAwbNoyuXbtiNBo5e/Ysmzdvxtvbu9j3M2TIEIKCgoiLi6N79+4kJyezfv16i24tVJbjNTw8nBkzZhAVFUVYWBjp6enmh3GIVKR9n+0j91wujw94nCquVQqte7T7o3yV8BXnc87j6eeJRzMPrl2+RtZnWbgb3QHY/M5mXD1cqdeiHgY7A3v/sxdXd1equFUp0larXq1YN3EdyyOW0+n1Tpw9cZbkt5MBLMrcU1FPMT90PtXrVcf3WV8MdgZ++OYHcvbn0O2Nbhg7GKnduDYf/e9HPBvzLL9f/J2kSUm3sZdE7iyNrUVpbBVrpKwWpayKNVJWi1JWxRopq0Upq9aj3G8LUyAmJsZ8qUIBb29v5syZwzvvvIOvry87d+4037z/ZqpVq8bq1at58skn8fb2Zu7cuSxdupTmzZsDMGHCBMaMGUNsbCze3t506dKFdevW0bBhwzvy3qTsijsO/P39WbFiBcuWLeORRx5h7NixxMTEMGjQoELbHT16lMaNG1OrVtFfnF65coWEhATzSezPevXqxeLFi7Gzs+Pnn3/mpZdewmg00qdPH7p27cr48eMByMvL47XXXjMfN0ajsdBJ+I8CAwOZO3cucXFx+Pr6smHDBiIiInBycrJon5R2vNavX59Vq1axZs0afH19mTt3LpMnT7aoDZE7ITUhlabtmxaZWAfw7e7L93u+x87BjsSYRKa1m8bsZ2ZjsDcwMP76l5xOVZ1InpXMjE4ziOsUxy/f/8Lflv8NO7uiQ5GTqxODPxrMycyTTG8/naRJSXQe2RnA/Ev2svDu5M3gpYM5sPkAccFxzHxqJlve3UKNetd/jWBnZ8crH77C1d+vEhccx7LXl/H0G0/fyu4RuWs0thalsVWskbJalLIq1khZLUpZFWukrBalrFoHg+nPN0Evxu7du2nVqhXp6en4+/vfjX5ZnSVLltC/f//7eh9IUYMHD2b//v188cUXFd0V+T8FWR2xeQSevp4V3R0pR2kfp7H0/y0l9mgslatULn0DsWppH6eR8GqCxlUpQmOrddFnYCmJsmpdlFUpibJqfZRXKY6yan3KOh+up7mJWODNN98kJCQEZ2dn1q9fz6JFi0r8JlJEbs/OZTup6VUTtzpunPzmJJ+O+xS/5/w0sS5yj9HYKmIblFUR26CsitgGZfXeocl1EQvs3LmTadOmcfHiRRo1asSsWbMICwur6G6J3JMunrnI+tj1XDxzEVd3V/x6+NHtX90qulsiUs40torYBmVVxDYoqyK2QVm9d2hyXcQCK1asqOguiNw3Og3tRKehnSq6GyJyh2lsFbENyqqIbVBWRWyDsnrvuGMPNBURERERERERERERuVdpcl1ERERERERERERExEKaXBcRERERERERERERsZAm10VERERERERERERELGTRA02TkpLIzs6+U32xaikpKcD9vQ9EbEFBVrM+z+L0t6cruDciUpLDqYcBjasi1k6fgUVsg7IqYjuUVxHbcOTIkTKVM5hMJlNphXbs2EG7du3Iy8u77Y7ZMjs7O/Lz8yu6GyJSCoOdAVN+qac2EalgGldFbIOyKmIblFUR26G8itgGe3t7vvjiC9q2bVtimTL9ct3R0ZG8vDwSEhLw9vYutw7akqSkJMaMGXNf7wMRW1CQ1f7z+uNudK/o7ohICbI+z2L9pPUaV0WsnD4Di9gGZVXEdiivIrYhOzub/v374+joeNNyFt0WxtvbG39//9vqmK0quFTnft4HIragIKvuRnc8fT0ruDciUpKC2zZpXBWxbvoMLGIblFUR26G8itxb9EBTERERERERERERERELaXJdRERERERERERERMRCmlwXEREREREREREREbGQJtdFSrBlyxYMBgPnzp2r6K5YVV9E7pRhNYbx9bqvK7obgHX1ReReYk3jmTX1RcTaWFM+rKkvItbGmvJhTX0RsTbWlA9r6su9olwm1wcNGoTBYGDKlCmFlq9ZswaDwVAeTZS7gj7/8a9Lly4V3S2bVp7HgZeXFzNnzixz+djYWOzt7Zk+fbpF7dzMX/7yF3JycnBzcyu3OkXuFUd2HiGiZgTv9X2v3OqMyY7BJ9in3OoTuRdobBWxDcqqiG1QVkVsg7IqtqTcfrnu5OTE1KlTOXv2bHlVCcCVK1fKtb4/6tKlCzk5Oea/pUuX3rG27hd36jgozYIFCxg5ciQLFiwotzorV66Mh4eH1X5BJFKRUhNSaTe4HYd2HOJ8zvlyqdPV3RUHR4dyqUvkXqKxVcQ2KKsitkFZFbENyqrYinKbXA8ODsbDw4PY2NgSy4wbNw4/P79Cy2bOnImXl5f59aBBg3juueeYNGkSdevWpWnTpgDMmTOHJk2a4OTkhLu7O7179zZvk5+fT2xsLA0bNqRKlSr4+vqycuXKUvvs6OiIh4eH+a969eqWvWkpoizHAcCqVato3rw5jo6OeHl5MWPGDPO6Dh06cOzYMSIiIsxXFdzM1q1buXTpEjExMVy4cIHt27cXWr937146duyIi4sLrq6utGrVirS0NACOHTtG9+7dqV69Os7OzjRv3pykpCSg+Etl5s+fj6enJw888AA9e/YkLi6OatWqmdcXHOMffvghXl5euLm50a9fPy5evGguU5bjNSkpCaPRSJUqVejYsSNHjx696T4QuZsu/3qZPWv2EPhKID4hPuxcutO8LvdcLh/+7UPeaPIGUXWjmNh6IqlLUgG4duUaK0euZKz3WCLrRDL+0fFs/PdG87Z/vhXLkdQjTAuaRmSdSGY8OYOv133NsBrDOJF5AoCDXx5kWI1hfLv1W2Y8OYOoh6KY2Xkmpw+eLtTfzKRM3uzwJpF1IpnQcgIbpm4g71qeef2Ph35kVrdZRNaJJPbxWA5sPnBH9pvIrdLYqrFVbIOyqqyKbVBWlVWxDcqqsmorym1y3d7ensmTJzN79mxOnDhxW3Vt2rSJAwcOsHHjRhITE0lLS2Po0KHExMRw4MABNmzYQFBQkLl8bGwsixcvZu7cuezbt4+IiAj69+/P1q1bb9rOli1bqF27Nk2bNuXvf/87P//88231W8p2HKSnp9OnTx/69etHZmYm48aNY8yYMSxcuBCA1atXU69ePWJiYsxXFdxMfHw8oaGhVKpUidDQUOLj4wutf/HFF6lXrx67du0iPT2dUaNGUalSJQBee+01Ll++zLZt28jMzGTq1KlUrVq12HZSUlIIDw/n9ddfJyMjg5CQECZNmlSk3KFDh1izZg2JiYkkJiaydevWQpcylXa8fv/99zz//PN0796djIwMwsLCGDVq1E33gcjdtGfNHmo3qY17E3da92lN6pJUTCYTAEmTkzh14BSvrniVUV+N4oU3X8D5QWcAts3bxjfrv2HggoH8c+c/GfDeAGrUr1FsG79f+J35f51PXZ+6RG6OpOvornw6/tNiy66buI4eE3owYtMI7BzsWDZkmXndoR2HWPL3JQS9GsSoHaPoE9eHnUt3snHG9Un9/Px8Fry0AIfKDkRsjKBPXJ8S2xGpKBpbNbaKbVBWlVWxDcqqsiq2QVlVVm1FuV5/37NnT/z8/IiOji5yAFrC2dmZ999/n8qVKwPXw+Ds7MwzzzyDi4sLDRo0oGXLlgBcvnyZyZMn8/nnn9O2bVsAGjVqxJdffsm8efNo3759sW106dKF559/noYNG3Lo0CH++c9/0rVrV3bs2IG9vf0t911KPw7i4uLo1KkTY8aMAcBoNJKVlcX06dMZNGgQNWrUwN7eHhcXFzw8PG7a1oULF1i5ciU7duwAoH///rRr14633nrLfBI7fvw4UVFRNGvWDIAmTZqYtz9+/Di9evWiRYsWwPVjpySzZ8+ma9euREZGmvu9fft2EhMTC5XLz89n4cKFuLi4ADBgwAA2bdrEpEmTynS8vvvuuzRu3Nj8bWvTpk3NJ2YRa5CakErrF1oD0KxTMy5duMR3Kd/R5IkmnD1xlodaPET9lvUBeLD+g+btzp48S63GtWj0eCMMBgM1PIufWAdIX5WOwWCg78y+VHKqhEczD87nnGf5sOVFynb7VzceDnwYgOBhwbzX9z2u/n6VSk6V+GzaZ3Qa1omA0AAAanrV5Ol/Ps3acWvp8o8ufLvlW04fPE34ynDc6riZ65vXZ1757CyRcqKxVWOr2AZlVVkV26CsKqtiG5RVZdUWlNsv1wtMnTqVRYsWkZ2dfct1tGjRwjyxDhASEkKDBg1o1KgRAwYMYMmSJeTm5gLw3XffkZubS0hICFWrVjX/LV68mEOHDpXYRr9+/Xj22Wdp0aIFzz33HImJiezatYstW7bccr/lhpsdB9nZ2QQGBhZaFhgYyMGDB8nLyytS/maWLl1K48aN8fX1BcDPz48GDRqwfPmNCbjhw4cTFhZGcHAwU6ZMKXRcDB06lIkTJxIYGEh0dDRff/11kTYKHDhwgICAgELL/vwarj8so+DEB1CnTh3OnDkDlO14zc7O5rHHHitUZ8GJUqSinT54mmO7j+Hfyx8Aewd7WvZsSWrC9Vu/BL4cyJ5P9jAtaBpro9dyJPWIeduA0ABOZp5kcsBkVo1axf7k/SW2c+bgGeo2r0slp0rmZQ1aNSi2bN3mdc3/dnV3BeDXn34F4OQ3J/nv9P8y0nOk+W/5sOVcOHWBK7lXOP3taao/VN08sQ7gFeBl4V4RuTs0tmpsFdugrCqrYhuUVWVVbIOyqqxau3KfXA8KCqJz586MHj26aGN2duZbBxS4evVqkXLOzs6FXru4uLB7926WLl1KnTp1GDt2LL6+vpw7d45ff70+gbJu3ToyMjLMf1lZWWW673qBRo0aUbNmTb777rsybyMlu9lxUJ7i4+PZt28fDg4O5r+srKxCD54YN24c+/bto1u3biQnJ+Pj48Mnn3wCQFhYGIcPH2bAgAFkZmbSunVrZs+efVt9KrgkqIDBYCA/Px+g3I5XkYqSmpBK/rV8on2iGV5rOMNrDSdlQQp7P93LpQuX8AnxIXpvNB3+3oHzp84zp+cc/jPmPwB4+noyds9Yuo7uytVLV1n4ykI+GPjBbffJrtIfhrL/u4VeQeau/HaFLqO6ELU1yvw38suRvJH2Bg5Oeniq2BaNrTdobBVrpqzeoKyKNVNWb1BWxZopqzcoq9bpjswsTJkyBT8/P/PDSAvUqlWLU6dOYTKZzA8RyMjIKFOdDg4OBAcHExwcTHR0NNWqVSM5OZmQkBAcHR05fvx4ibeAKYsTJ07w888/U6dOnVuuQwor6Tjw9vYmJSWl0LKUlBSMRqP5ljyVK1cu9VvGzMxM0tLS2LJlCzVq3Li9xC+//EKHDh3Yv3+/+VIdo9GI0WgkIiKC0NBQPvjgA3r27AmAp6cn4eHhhIeHM3r0aObPn8+QIUOKtNe0aVN27dpVaNmfX5fGx8en1OPV29ubtWvXFlr21VdfWdSOyJ2Qdy2PXct30WNCD5p1bFZoXfyAeHav2k3gy4FUrVmVgNAAAkIDSGmbwtqxa+kxoQcATq5O+D/vj//z/vg+68u8F+bx29nfcK5e+EvV2k1qk/ZxGtcuX8PB8fpQdXz3cYv7XO/Repw5eIZajWoVu97d6M7Zk2c5f+o8bh7Xf71+dNdRi9sRuVs0thalsVWskbJalLIq1khZLUpZFWukrBalrFqPOzK53qJFC1588UVmzZpVaHmHDh348ccfmTZtGr1792bDhg2sX78eV1fXm9aXmJjI4cOHCQoKonr16iQlJZGfn0/Tpk1xcXEhMjKSiIgI8vPzeeKJJzh//jwpKSm4uroycODAIvX9+uuvjB8/nl69euHh4cGhQ4cYOXIkDz/8MJ07dy7XfXE/K+k4GDFiBG3atGHChAn07duXHTt28PbbbzNnzhxzGS8vL7Zt20a/fv1wdHSkZs2aReqPj48nICCg0MNtC7Rp04b4+HhiYmKIioqid+/eNGzYkBMnTrBr1y569eoFwLBhw+jatStGo5GzZ8+yefNmvL29i30/Q4YMISgoiLi4OLp3705ycjLr168v9WnTf1SW4zU8PJwZM2YQFRVFWFgY6enp5odxiFSkfZ/tI/dcLo8PeJwqrlUKrXu0+6N8lfAV53PO4+nniUczD65dvkbWZ1m4G90B2PzOZlw9XKnXoh4GOwN7/7MXV3dXqrhVKdJWq16tWDdxHcsjltPp9U6cPXGW5LeTASzK3FNRTzE/dD7V61XH91lfDHYGfvjmB3L259DtjW4YOxip3bg2H/3vRzwb8yy/X/ydpElJt7GXRO4sja1FaWwVa6SsFqWsijVSVotSVsUaKatFKavWo9xvC1MgJibGfKlCAW9vb+bMmcM777yDr68vO3fuNN+8/2aqVavG6tWrefLJJ/H29mbu3LksXbqU5s2bAzBhwgTGjBlDbGws3t7edOnShXXr1tGwYcNi67O3t+frr7/m2WefxWg08j//8z+0atWKL774AkdHx9t/82JW3HHg7+/PihUrWLZsGY888ghjx44lJiaGQYMGFdru6NGjNG7cmFq1iv7i9MqVKyQkJJhPYn/Wq1cvFi9ejJ2dHT///DMvvfQSRqORPn360LVrV8aPHw9AXl4er732mvm4MRqNhU7CfxQYGMjcuXOJi4vD19eXDRs2EBERgZOTk0X7pLTjtX79+qxatYo1a9bg6+vL3LlzmTx5skVtiNwJqQmpNG3ftMjEOoBvd1++3/M9dg52JMYkMq3dNGY/MxuDvYGB8de/5HSq6kTyrGRmdJpBXKc4fvn+F/62/G/Y2RUdipxcnRj80WBOZp5kevvpJE1KovPI619+FvySvSy8O3kzeOlgDmw+QFxwHDOfmsmWd7dQo971XyPY2dnxyoevcPX3q8QFx7Hs9WU8/cbTt7J7RO4aja1FaWwVa6SsFqWsijVSVotSVsUaKatFKavWwWD6803Qi7F7925atWpFeno6/v7+d6NfVmfJkiX079//vt4HUtTgwYPZv38/X3zxRUV3Rf5PQVZHbB6Bp69nRXdHylHax2ks/X9LiT0aS+UqlUvfQKxa2sdpJLyaoHFVitDYal30GVhKoqxaF2VVSqKsWh/lVYqjrFqfss6H62luIhZ48803CQkJwdnZmfXr17No0aISv4kUkduzc9lOanrVxK2OGye/Ocmn4z7F7zk/TayL3GM0torYBmVVxDYoqyK2QVm9d2hyXcQCO3fuZNq0aVy8eJFGjRoxa9YswsLCKrpbIveki2cusj52PRfPXMTV3RW/Hn50+1e3iu6WiJQzja0itkFZFbENyqqIbVBW7x2aXBexwIoVKyq6CyL3jU5DO9FpaKeK7oaI3GEaW0Vsg7IqYhuUVRHboKzeO+7YA01FRERERERERERERO5VmlwXEREREREREREREbGQJtdFRERERERERERERCykyXUREREREREREREREQtZ9EDTpKQksrOz71RfrFpKSgpwf+8DEVtQkNWsz7M4/e3pCu6NiJTkcOphQOOqiLXTZ2AR26CsitgO5VXENhw5cqRM5Qwmk8lUWqEdO3bQrl078vLybrtjtszOzo78/PyK7oaIlEJZFbENBjsDpvxSP4aISAXTuCpiG5RVEduhvIrYBnt7e7744gvatm1bYpky/XLd0dGRvLw8EhIS8Pb2LrcO2pKkpCTGjBlzX+8DEVugrIrYhoKs9p/XH3eje0V3R0RKkPV5Fusnrde4KmLl9BlYxHYoryK2ITs7m/79++Po6HjTchbdFsbb2xt/f//b6pitKrhU537eByK2QFkVsQ0FWXU3uuPp61nBvRGRkhTcYk3jqoh102dgEduhvIrcW/RAUxERERERERERERERC2lyXURERERERERERETEQppcFynBli1bMBgMnDt3rqK7YlV9EbFG1pQRa+qLyJ0wrMYwvl73dUV3A7CuvojcS6xpLLOmvohYG2vKhzX1RcTaWFM+rKkv94pymVwfNGgQBoOBKVOmFFq+Zs0aDAZDeTRxR2RnZ/Pss8/i5uaGs7Mzbdq04fjx4xXdLZtVnseBl5cXM2fOLHP52NhY7O3tmT59ukXt3Mxf/vIXcnJycHNzK7c6RayF8ipyfziy8wgRNSN4r+975VZnTHYMPsE+5VafyL1A46qIbVBWRWyDsiq2pNx+ue7k5MTUqVM5e/ZseVUJwJUrV8q1vgKHDh3iiSeeoFmzZmzZsoWvv/6aMWPG4OTkdEfau1/cqeOgNAsWLGDkyJEsWLCg3OqsXLkyHh4eVv0FkcjtUF5F7n2pCam0G9yOQzsOcT7nfLnU6eruioOjQ7nUJXIv0bgqYhuUVRHboKyKrSi3yfXg4GA8PDyIjY0tscy4cePw8/MrtGzmzJl4eXmZXw8aNIjnnnuOSZMmUbduXZo2bQrAnDlzaNKkCU5OTri7u9O7d2/zNvn5+cTGxtKwYUOqVKmCr68vK1euvGl/33jjDZ5++mmmTZtGy5Ytady4Mc8++yy1a9e2/M2LWVmOA4BVq1bRvHlzHB0d8fLyYsaMGeZ1HTp04NixY0RERGAwGEo9+WzdupVLly4RExPDhQsX2L59e6H1e/fupWPHjri4uODq6kqrVq1IS0sD4NixY3Tv3p3q1avj7OxM8+bNSUpKAoq/VGb+/Pl4enrywAMP0LNnT+Li4qhWrZp5fcEx/uGHH+Ll5YWbmxv9+vXj4sWL5jJlOV6TkpIwGo1UqVKFjh07cvTo0ZvuA5Fbobwqr3Jvu/zrZfas2UPgK4H4hPiwc+lO87rcc7l8+LcPeaPJG0TVjWJi64mkLkkF4NqVa6wcuZKx3mOJrBPJ+EfHs/HfG83b/vlWLEdSjzAtaBqRdSKZ8eQMvl73NcNqDONE5gkADn55kGE1hvHt1m+Z8eQMoh6KYmbnmZw+eLpQfzOTMnmzw5tE1olkQssJbJi6gbxreeb1Px76kVndZhFZJ5LYx2M5sPnAHdlvIrdK46rGVbENyqqyKrZBWVVWbUW5Ta7b29szefJkZs+ezYkTJ26rrk2bNnHgwAE2btxIYmIiaWlpDB06lJiYGA4cOMCGDRsICgoyl4+NjWXx4sXMnTuXffv2ERERQf/+/dm6dWux9efn57Nu3TqMRiOdO3emdu3aPPbYY6xZs+a2+i1lOw7S09Pp06cP/fr1IzMzk3HjxjFmzBgWLlwIwOrVq6lXrx4xMTHk5OSQk5Nz0zbj4+MJDQ2lUqVKhIaGEh8fX2j9iy++SL169di1axfp6emMGjWKSpUqAfDaa69x+fJltm3bRmZmJlOnTqVq1arFtpOSkkJ4eDivv/46GRkZhISEMGnSpCLlDh06xJo1a0hMTCQxMZGtW7cWupSptOP1+++/5/nnn6d79+5kZGQQFhbGqFGjbroPRG6F8qq8yr1tz5o91G5SG/cm7rTu05rUJamYTCYAkiYncerAKV5d8SqjvhrFC2++gPODzgBsm7eNb9Z/w8AFA/nnzn8y4L0B1Khfo9g2fr/wO/P/Op+6PnWJ3BxJ19Fd+XT8p8WWXTdxHT0m9GDEphHYOdixbMgy87pDOw6x5O9LCHo1iFE7RtEnrg87l+5k44zrk/r5+fkseGkBDpUdiNgYQZ+4PiW2I1JRNK5qXBXboKwqq2IblFVl1VaU6zW9PXv2xM/Pj+jo6CIHoCWcnZ15//33qVy5MnA9DM7OzjzzzDO4uLjQoEEDWrZsCcDly5eZPHkyn3/+OW3btgWgUaNGfPnll8ybN4/27dsXqf/MmTP8+uuvTJkyhYkTJzJ16lQ2bNjA888/z+bNm4vdRsqutOMgLi6OTp06MWbMGACMRiNZWVlMnz6dQYMGUaNGDezt7XFxccHDw+OmbV24cIGVK1eyY8cOAPr370+7du146623zCex48ePExUVRbNmzQBo0qSJefvjx4/Tq1cvWrRoAVw/dkoye/ZsunbtSmRkpLnf27dvJzExsVC5/Px8Fi5ciIuLCwADBgxg06ZNTJo0qUzH67vvvkvjxo3N37Y2bdrUfGIWKW/Kq/Iq967UhFRav9AagGadmnHpwiW+S/mOJk804eyJszzU4iHqt6wPwIP1HzRvd/bkWWo1rkWjxxthMBio4Vn8xDpA+qp0DAYDfWf2pZJTJTyaeXA+5zzLhy0vUrbbv7rxcODDAAQPC+a9vu9x9ferVHKqxGfTPqPTsE4EhAYAUNOrJk//82nWjltLl3904dst33L64GnCV4bjVsfNXN+8PvPKZ2eJlBONqxpXxTYoq8qq2AZlVVm1BeX2y/UCU6dOZdGiRWRnZ99yHS1atDBPrAOEhITQoEEDGjVqxIABA1iyZAm5ubkAfPfdd+Tm5hISEkLVqlXNf4sXL+bQoUPF1p+fnw9Ajx49iIiIwM/Pj1GjRvHMM88wd+7cW+633HCz4yA7O5vAwMBCywIDAzl48CB5eXlFyt/M0qVLady4Mb6+vgD4+fnRoEEDli+/8T/1w4cPJywsjODgYKZMmVLouBg6dCgTJ04kMDCQ6Ohovv766yJtFDhw4AABAQGFlv35NVx/WEbBiQ+gTp06nDlzBijb8Zqdnc1jjz1WqM6CE6XInaC8Kq9y7zl98DTHdh/Dv5c/APYO9rTs2ZLUhOu3fgl8OZA9n+xhWtA01kav5UjqEfO2AaEBnMw8yeSAyawatYr9yftLbOfMwTPUbV6XSk6VzMsatGpQbNm6zeua/+3q7grArz/9CsDJb07y3+n/ZaTnSPPf8mHLuXDqAldyr3D629NUf6i6eWIdwCvAy8K9InJ3aFzVuCq2QVlVVsU2KKvKqrUr98n1oKAgOnfuzOjRo4s2Zmdnvhy5wNWrV4uUc3Z2LvTaxcWF3bt3s3TpUurUqcPYsWPx9fXl3Llz/Prr9f8pW7duHRkZGea/rKysEu+7XrNmTRwcHPDx8Sm03Nvbm+PHj1v0fqV4NzsOylN8fDz79u3DwcHB/JeVlVXowRPjxo1j3759dOvWjeTkZHx8fPjkk08ACAsL4/DhwwwYMIDMzExat27N7Nmzb6tPBZcEFTAYDOYvdG7leBW505TXG5RXuVekJqSSfy2faJ9ohtcazvBaw0lZkMLeT/dy6cIlfEJ8iN4bTYe/d+D8qfPM6TmH/4z5DwCevp6M3TOWrqO7cvXSVRa+spAPBn5w232yq/SHj53/d7vLgrxd+e0KXUZ1IWprlPlv5JcjeSPtDRyc9PBUsS0aV2/QuCrWTFm9QVkVa6as3qCsWqc78n8rU6ZMwc/Pz/ww0gK1atXi1KlTmEwm80MEMjIyylSng4MDwcHBBAcHEx0dTbVq1UhOTiYkJARHR0eOHz9e5tu5VK5cmTZt2nDgQOEHYX377bc0aFD8r63EciUdB97e3qSkpBRalpKSgtFoxN7eHrj+36i0bxkzMzNJS0tjy5Yt1Khx45L1X375hQ4dOrB//37zpTpGoxGj0UhERAShoaF88MEH9OzZEwBPT0/Cw8MJDw9n9OjRzJ8/nyFDhhRpr2nTpuzatavQsj+/Lo2Pj0+px6u3tzdr164ttOyrr76yqB0RSymvRSmvYqvyruWxa/kuekzoQbOOzQqtix8Qz+5Vuwl8OZCqNasSEBpAQGgAKW1TWDt2LT0m9ADAydUJ/+f98X/eH99nfZn3wjx+O/sbztUL/wCidpPapH2cxrXL13BwvP6x8vhuy3+oUO/Repw5eIZajWoVu97d6M7Zk2c5f+o8bh7Xf71+dNdRi9sRuVs0rhalcVWskbJalLIq1khZLUpZtR53ZHK9RYsWvPjii8yaNavQ8g4dOvDjjz8ybdo0evfuzYYNG1i/fj2urq43rS8xMZHDhw8TFBRE9erVSUpKIj8/n6ZNm+Li4kJkZCQRERHk5+fzxBNPcP78eVJSUnB1dWXgwIHF1hkVFUXfvn0JCgqiY8eObNiwgU8//ZQtW7aU126475V0HIwYMYI2bdowYcIE+vbty44dO3j77beZM2eOuYyXlxfbtm2jX79+ODo6UrNmzSL1x8fHExAQUOjhtgXatGlDfHw8MTExREVF0bt3bxo2bMiJEyfYtWsXvXr1AmDYsGF07doVo9HI2bNn2bx5M97e3sW+nyFDhhAUFERcXBzdu3cnOTmZ9evXl/q06T8qy/EaHh7OjBkziIqKIiwsjPT0dPPDOETuFOW1KOVVbNW+z/aRey6Xxwc8ThXXKoXWPdr9Ub5K+IrzOefx9PPEo5kH1y5fI+uzLNyN7gBsfmczrh6u1GtRD4Odgb3/2YuruytV3KoUaatVr1asm7iO5RHL6fR6J86eOEvy28kAFuXtqainmB86n+r1quP7rC8GOwM/fPMDOftz6PZGN4wdjNRuXJuP/vcjno15lt8v/k7SpKTb2Esid5bG1aI0roo1UlaLUlbFGimrRSmr1qPcbwtTICYmxnypQgFvb2/mzJnDO++8g6+vLzt37jTfvP9mqlWrxurVq3nyySfx9vZm7ty5LF26lObNmwMwYcIExowZQ2xsLN7e3nTp0oV169bRsGHDEuvs2bMnc+fOZdq0abRo0YL333+fVatW8cQTT9zeG5dCijsO/P39WbFiBcuWLeORRx5h7NixxMTEMGjQoELbHT16lMaNG1OrVtFfsV25coWEhATzSezPevXqxeLFi7Gzs+Pnn3/mpZdewmg00qdPH7p27cr48eMByMvL47XXXjMfN0ajsdBJ+I8CAwOZO3cucXFx+Pr6smHDBiIiInBycrJon5R2vNavX59Vq1axZs0afH19mTt3LpMnT7aoDZFbobwWpbyKLUpNSKVp+6ZFJtYBfLv78v2e77FzsCMxJpFp7aYx+5nZGOwNDIy//oMEp6pOJM9KZkanGcR1iuOX73/hb8v/hp1d0Y+NTq5ODP5oMCczTzK9/XSSJiXReWRnAPMv2cvCu5M3g5cO5sDmA8QFxzHzqZlseXcLNepd/+WQnZ0dr3z4Cld/v0pccBzLXl/G0288fSu7R+Su0bhalMZVsUbKalHKqlgjZbUoZdU6GEx/vgl6MXbv3k2rVq1IT0/H39//bvTL6ixZsoT+/fvf1/tAiho8eDD79+/niy++qOiuyP9RVqUkyqt1KcjqiM0j8PT1rOjuSDlK+ziNpf9vKbFHY6lcpXLpG4hVS/s4jYRXEzSuShEaV62LPgNLSZRV66O8SnGUVetT1vlwPSFKxAJvvvkmISEhODs7s379ehYtWlTiN5EiUrGUV5G7Y+eyndT0qolbHTdOfnOST8d9it9zfppYF7nHaFwVsQ3KqohtUFbvHZpcF7HAzp07mTZtGhcvXqRRo0bMmjWLsLCwiu6WiBRDeRW5Oy6eucj62PVcPHMRV3dX/Hr40e1f3Sq6WyJSzjSuitgGZVXENiir9w5NrotYYMWKFRXdBREpI+VV5O7oNLQTnYZ2quhuiMgdpnFVxDYoqyK2QVm9d9yxB5qKiIiIiIiIiIiIiNyrNLkuIiIiIiIiIiIiImIhTa6LiIiIiIiIiIiIiFhIk+siIiIiIiIiIiIiIhay6IGm2dnZd6ofVu/IkSPA/b0PRGyBsipiGwqyevrb0xXcExG5mZ+P/wxoXBWxdvoMLGI7lFcR21DWjBpMJpOptELHjx/H29ub3Nzc2+6YLbO3tycvL6+iuyEipVBWRWyDwc6AKb/UjyEiUsHs7O3Iz8uv6G6ISCn0GVjEdiivIrbhgQceIDs7m/r165dYpkyT63B9gv2nn34qt87ZosuXL+Po6FjR3RCRUiirIrZBWRWxDcqqiG1QVkVsh/IqYhtq1qx504l1sGByXURERERERERERERErtMDTUVERERERERERERELKTJdRERERERERERERERC2lyXURERERERERERETEQppcFxERERERERERERGxkCbXRUREREREREREREQspMl1ERERERERERERERELaXJdRERERERERERERMRCmlwXEREREREREREREbGQJtdFRERERERERERERCykyXUREREREREREREREQtpcl1ERERERERERERExEKaXBcRERERERERERERsZAm10VERERERERERERELKTJdRERERERERERERERC2lyXURERERERERERETEQppcFxERERERERERERGx0P8H1/PDBxbkYCYAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) >= (shifts[0,2,1]), (shifts[0,2,0]) == (shifts[0,2,1]), (shifts[0,1,1]) >= (shifts[0,2,1])]\n",
      "Query103: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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ECRNMrVu3NlWrVs3k5ORkatCggWnw4MGmX3/91VymXr16pv/85z8FlvP19TVFR0ebTCaT6dChQybAtHv3bvN8Nzc304cffmh+f/HiRVOPHj1MVapUMQEF5v3V0qVLTUaj0VSxYkVT06ZNTatXry7VZxeTKSEhQVktBWV1t3n+zWY1v66/vtq2bVuqz3+vU1ZLT3ndbZ5/s3mtV69ekXnNX5cUT1ktvfLO6saNG4vcz/v371/sMu+//76pffv2pho1apgqVqxoqlu3rmnAgAGmw4cPm8u0bdvW9PrrrxdYrlu3bgXqBUyffvqp+f2fs5wvPDzcdP/995eYvY0bN5r8/PxMFStWNDVo0OCG58xynbJaesrqp+b3t5LVoj5DvXr1Svz8oryWlrL6qfn9zWa1bdu2Fn8Gua60Y8EGk8lkuplB+XvNrl27aNGiBWlpafj7+5d3c+4pH330EREREfz8889UrFixvJsjVm7hwoX07dtXWS0HyqpYQlktX8qrlJayWr6UVSktZbV8KatiCeW1/CirYonSjgXrtjBitXJycsjKymLixIm8+uqrOvCJWCllVcR2KK8itkFZFbENyqqIbVBW5XbSA03Fak2ePJkmTZrg4eHBiBEjyrs5IlIMZVXEdiivIrZBWRWxDcqqiG1QVuV20uC6WK3Ro0dz5coV1q9fr4eNiVgxZVXEdiivIrZBWRWxDcqqiG1QVuV20uC6iIiIiIiIiIiIiIiFNLguIiIiIiIiIiIiImIhDa6LiIiIiIiIiIiIiFjIobQFjx49yq+//no722LVMjMzAUhKSjL/W0SsT3JyMqCsilg7ZVXENiirIrZBWRWxHcqriG04dOhQqcoZTCaTqaRCR48exdvbm5ycnFtumC0z2Bkw5ZW4uUSknNnZ2ZGXl1fezRCREiirIrZB58AitkFZFbEdOg8WsQ329vZs3bqV1q1bF1umVL9c//XXX8nJySEhIQFvb+8ya6AtSUpKYuTIkfSd3Rd3o3t5N0dEipHxZQZrxq+5p49XIrYgv19VVkWsm86BRWxD/jmwsipi/fQ3q4htyMzMpG/fvjg6Ot6wXKlvCwPg7e2Nv7//LTXMVuVfquNudMfT17OcWyMixTn5/Ung3j5eidiC/H5VWRWxbjoHFrEN+efAyqqI9dPfrCJ3Fz3QVERERERERERERETEQhpcFxERERERERERERGxkAbXRUREREREREREREQspMF1uesNqTaEb1d/W97NAKyrLSJ3k02bNmEwGDh9+nR5N8Wq2iJibawpH9bUFpHbwZrOO62pLSLWyJoyYk1tEblbWNN5pzW15W5RJoPrAwYMwGAwMHHixALTV65cicFgKItVlLkVK1bw5JNPcv/992MwGNizZ095N0mAQzsOEVE9gvd7v19mdcZkxuAT7FNm9YncDcryuO3l5cW0adNKXT42NhZ7e3umTJli0Xpu5LHHHiMrKws3N7cyq1PEGiirIvcGnQOL2A7lVeT20zmw2JIy++W6k5MTkyZNIjs7u6yqBODy5ctlWl++P/74g8cff5xJkybdlvrl5qQkpNBmYBsObj/ImawzZVKnq7srDo4OZVKXyN3kdh23SzJ37lyGDRvG3Llzy6zOihUr4uHhYbVf6IrcCmVV5O6nc2AR26G8itwZOgcWW1Fmg+vBwcF4eHgQGxtbbJnRo0fj5+dXYNq0adPw8vIyvx8wYADPPvss48ePp3bt2jRu3BiAmTNn0qhRI5ycnHB3d6dnz57mZfLy8oiNjaV+/fpUqlQJX19fli1bdsP29uvXj1GjRhEcHGz5h5Xb4tL5S+xeuZvAlwPxCfFhx6Id5nk5p3P46JWPeLPRm0TVjmJcy3GkLEwB4OrlqywbtoxR3qOIrBXJmIfHsO4/68zL/vWytkMph5gcNJnIWpFMfWIq367+liHVhnAs/RgAB746wJBqQ/h+8/dMfWIqUQ9EMa3jNE4eOFmgvelJ6bzV7i0ia0UytvlY1k5aS+7VXPP8Xw7+wvQu04msFUnso7Hs37j/tmw3kZtVmuM2wPLly2natCmOjo54eXkxdepU87x27dpx5MgRIiIiMBgMJZ4sbN68mQsXLhATE8PZs2fZtm1bgfnffPMN7du3x8XFBVdXV1q0aEFqaioAR44coWvXrlStWhVnZ2eaNm1KUlISUPSlbXPmzMHT05P77ruP7t27ExcXR5UqVczz8/ukjz76CC8vL9zc3OjTpw/nzp0zlylN/5KUlITRaKRSpUq0b9+ew4cP33AbiFhKWVVW5e6mc2AR26G8itw5OgfWObCtKLOvRu3t7ZkwYQJ/+9vfGDx4MHXq1LnputavX4+rqyvr1l3rbFJTUxk8eDAfffQRjz32GL///jtbt241l4+NjSUhIYFZs2bRqFEjtmzZQt++falRowZt27a95c8md8bulbup2agm7o3cadmrJZ/+61OCI4IxGAwkTUjixP4TvLr0VZzvd+bXH3/lysUrAGyZvYXv1nxH/7n9qVqnKqePnyb7eNHfbF48e5E5f5uDT4gPL77/Ir//9DufvvlpkWVXj1tNt7HdqHx/ZZYOXcriQYt5fe3rABzcfpCFf1/IcxOfo0HrBvx26DeWRCwBoNM/O5GXl8fcF+fiUtOFiHURXDx7kU//VfR6RMpLaY7baWlp9OrVi9GjR9O7d2+2bdvGP/7xD+6//34GDBjAihUr8PX15ZVXXmHgwIElrjM+Pp7Q0FAqVKhAaGgo8fHxPPbYY+b5L7zwAs2bN+e9997D3t6ePXv2UKFCBQBee+01Ll++zJYtW3B2diYjI4PKlSsXuZ7k5GTCw8OZNGkSzzzzDF9++SUjR44sVO7gwYOsXLmSxMREsrOz6dWrFxMnTmT8+PFAyf3LTz/9xHPPPcdrr73GK6+8QmpqKkOHDi3V9hcpLWVVWZW7m86BRWyH8ipy5+gcWOfAtqJMrzvq3r07fn5+REdHEx8ff9P1ODs788EHH1CxYkXg2v3RnZ2defrpp3FxcaFevXo0b94cgEuXLjFhwgS+/PJLWrduDUCDBg346quvmD17tgbXbUhKQgotn28JQJMOTbhw9gI/JP9Ao8cbkX0smweaPUDd5nUBuL/u/eblso9nU6NhDRo82gCDwUA1z2rFriNteRoGg4He03pTwakCHk08OJN1hiVDlhQq2+XfXXgw8EEAgocE837v97ly8QoVnCrw+eTP6TCkAwGhAQBU96rOU/96ilWjV9Hpn534ftP3nDxwkvBl4bjVcjPXN7vX7LLZWCJlpKTjdlxcHB06dDB39EajkYyMDKZMmcKAAQOoVq0a9vb2uLi44OHhccN1nT17lmXLlrF9+3YA+vbtS5s2bXj77bfNJx1Hjx4lKiqKJk2aANCoUSPz8kePHqVHjx40a9YMuHasL86MGTPo3LkzkZGR5nZv27aNxMTEAuXy8vKYN28eLi4uwLWrmtavX8/48eNL1b+89957NGzY0PzriMaNG5Oenq5bjkmZU1aVVbl76RxYxHYoryJ3ls6BdQ5sC8rstjD5Jk2axPz588nMzLzpOpo1a2YeWAcICQmhXr16NGjQgH79+rFw4UJycnIA+OGHH8jJySEkJITKlSubXwsWLODgwYO3/Hnkzjh54CRHdh3Bv4c/APYO9jTv3pyUhGuX0QW+FMjuT3czOWgyq6JXcSjlkHnZgNAAjqcfZ0LABJYPX86+DfuKXc+pA6eo3bQ2FZwqmKfVa1GvyLK1m9Y2/9vV3RWA87+eB+D4d8f5YsoXDPMcZn4tGbKEsyfOcjnnMie/P0nVB6qaT1IAvAK8LNwqInfGjY7bmZmZBAYGFpgWGBjIgQMHyM3NLVT+RhYtWkTDhg3x9fUFwM/Pj3r16rFkyfU/FN544w3CwsIIDg5m4sSJBY7jgwcPZty4cQQGBhIdHc23335baB359u/fT0BAQIFpf30P1x5uk3+iAlCrVi1OnToFlK5/yczM5JFHHilQZ/6JjUhZU1aVVbn76BxYxHYoryLlQ+fAOge2dmX+xIygoCA6duzIiBEjGDBgQIF5dnZ2mEymAtOuXLlSqA5nZ+cC711cXNi1axebNm3iiy++YNSoUYwePZqdO3dy/vy1jmP16tU88MADBZZzdHQsg08kd0JKQgp5V/OI9ok2TzOZTDg4OtBjcg98QnyI/iaajHUZ7N+0n5ndZ/L4/z1Ot7Hd8PT1ZNTuUWR8mcH3m79n3svzaNy2MS/Nf+mW2mRX4U/fPf3vtlx5eXkAXP7jMp2Gd+Lhpx8utJyDkx5EI7blRsftshQfH8/evXtxcLiekby8PObOncv//d//AdfuK/e3v/2N1atXs2bNGqKjo1m8eDHdu3cnLCyMjh07snr1ar744gtiY2OZOnUqgwYNuuk25V/Cl89gMJhzrv5FrI2yep2yKncLnQOL2A7lVaR86Bz4Op0DW6fbckSdOHEifn5+5oeR5qtRowYnTpzAZDKZHyKwZ8+eUtXp4OBAcHAwwcHBREdHU6VKFTZs2EBISAiOjo4cPXpUt4CxUblXc9m5ZCfdxnajSfsmBebF94tn1/JdBL4USOXqlQkIDSAgNIDk1smsGrWKbmO7AeDk6oT/c/74P+eP7zO+zH5+Nn9k/4Fz1YJf1NRsVJPUT1K5eumq+WnsR3cdtbjNdR6uw6kDp6jRoEaR892N7mQfz+bMiTO4eVz7JcDhnYctXo/InVLccdvb25vk5OQC05KTkzEajdjb2wPXnnxe0q8C0tPTSU1NZdOmTVSrdv0y2N9//5127dqxb98+86V1RqMRo9FIREQEoaGhfPjhh3Tv3h0AT09PwsPDCQ8PZ8SIEcyZM6fIk5XGjRuzc+fOAtP++r4kPj4+JfYv3t7erFq1qsC0r7/+2qL1iFhCWS1MWRVbpXNgEduhvIqUL50DF6ZzYOtxWwbXmzVrxgsvvMD06dMLTG/Xrh2//PILkydPpmfPnqxdu5Y1a9bg6up6w/oSExP58ccfCQoKomrVqiQlJZGXl0fjxo1xcXEhMjKSiIgI8vLyePzxxzlz5gzJycm4urrSv3//Iuv8/fffOXr0KD///DNw7ZIMAA8PjxLvwyRla+/ne8k5ncOj/R6lkmulAvMe7vowXyd8zZmsM3j6eeLRxIOrl66S8XkG7kZ3ADa+uxFXD1fqNKuDwc7AN//9Bld3Vyq5VSq0rhY9WrB63GqWRCyhw+sdyD6WzYZ3NgCU+NToP3sy6knmhM6hap2q+D7ji8HOwM/f/UzWviy6vNkFYzsjNRvW5ON/fMwzMc9w8dxFksYn3cJWErm9ijtuDx06lFatWjF27Fh69+7N9u3beeedd5g5c6a5jJeXF1u2bKFPnz44OjpSvXr1QvXHx8cTEBBAUFBQoXmtWrUiPj6emJgYoqKi6NmzJ/Xr1+fYsWPs3LmTHj16ADBkyBA6d+6M0WgkOzubjRs34u3tXeTnGTRoEEFBQcTFxdG1a1c2bNjAmjVrLMp5afqX8PBwpk6dSlRUFGFhYaSlpTFv3rxSr0PEUspqYcqq2CqdA4vYDuVVpHzpHLgwnQNbjzK/53q+mJgY86UK+by9vZk5cybvvvsuvr6+7Nixw3zz/hupUqUKK1as4IknnsDb25tZs2axaNEimjZtCsDYsWMZOXIksbGxeHt706lTJ1avXk39+vWLrXPVqlU0b96cLl26ANCnTx+aN2/OrFmzbuFTy81ISUihcdvGhU5SAHy7+vLT7p+wc7AjMSaRyW0mM+PpGRjsDfSPv/bFiVNlJzZM38DUDlOJ6xDH7z/9zitLXsHOrvDu7eTqxMCPB3I8/ThT2k4haXwSHYd1BDD/KqA0vDt4M3DRQPZv3E9ccBzTnpzGpvc2Ua3OtW847ezsePmjl7ly8QpxwXEsfn0xT7351M1sHpE7pqjjtr+/P0uXLmXx4sU89NBDjBo1ipiYmAKX48XExHD48GEaNmxIjRqFfxlz+fJlEhISzCcdf9WjRw8WLFiAnZ0dv/32Gy+++CJGo5FevXrRuXNnxowZA0Bubi6vvfaa+ThvNBoLnDT9WWBgILNmzSIuLg5fX1/Wrl1LREQETk5OFm2TkvqXunXrsnz5clauXImvry+zZs1iwoQJFq1DxFLKamHKqtginQOL2A7lVaT86Ry4MJ0DWweD6a83QS/Crl27aNGiBWlpafj7+9+JdlmdhQsX0rdvX4ZuHIqnr2d5N0fKUOonqSz6f4uIPRxLxUoVS15ArFrqJ6kkvJpwTx+vpGgDBw5k3759bN26tbybIlzvV5VV+Stl1broHPjupXPgu0v+ObCyendSXu8u+ptViqJzYOtT2vFwPcVC7jk7Fu+guld13Gq5cfy743w2+jP8nvXTSYrIXeatt94iJCQEZ2dn1qxZw/z584v95YCIlB9lVeTO0DmwiO1QXkXufjoHvntocF3uOedOnWNN7BrOnTqHq7srft386PLvLuXdLBEpYzt27GDy5MmcO3eOBg0aMH36dMLCwsq7WSLyF8qqyJ2hc2AR26G8itz9dA5899DgutxzOgzuQIfBHcq7GSJymy1durS8myAipaCsitwZOgcWsR3Kq8jdT+fAd4/b9kBTEREREREREREREZG7lQbXRUREREREREREREQspMF1ERERERERERERERELaXBdRERERERERERERMRCFj3QNCkpiczMzNvVFquWnJwMQMaXGZz8/mQ5t0ZEivNjyo/AvX28ErEF+f2qsipi3XQOLGIb8s+BlVUR66e/WUVsw6FDh0pVzmAymUwlFdq+fTtt2rQhNzf3lhtmywx2Bkx5JW4uESlndnZ25OXllXczRKQEyqqIbVBWRWyDsipiO5RXEdtgb2/P1q1bad26dbFlSvXLdUdHR3Jzc0lISMDb27vMGmhLkpKSGDlyJH1n98Xd6F7ezRGRYmR8mcGa8Wvu6eOViC3I71eVVRHrpqyK2AZlVcR2KK8itiEzM5O+ffvi6Oh4w3IW3RbG29sbf3//W2qYrcq/VMfd6I6nr2c5t0ZEipN/Gey9fLwSsQX5/aqyKmLdlFUR26CsitgO5VXk7qIHmoqIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFtLguoiIiIiIiIiIiIiIhTS4Lne9IdWG8O3qb8u7GYB1tUXkbrJp0yYMBgOnT58u76ZYVVtErI015cOa2iJibawpH9bUFhFrY035sKa2iFgba8qHNbXlblEmg+sDBgzAYDAwceLEAtNXrlyJwWAoi1WUqStXrvDPf/6TZs2a4ezsTO3atXnxxRf5+eefy7tp97xDOw4RUT2C93u/X2Z1xmTG4BPsU2b1idwNyvK47eXlxbRp00pdPjY2Fnt7e6ZMmWLRem7kscceIysrCzc3tzKrU8QaKKsitkFZFbENyqqIbVBWxZaU2S/XnZycmDRpEtnZ2WVVJQCXL18u0/oAcnJy2LVrFyNHjmTXrl2sWLGC/fv388wzz5T5usQyKQkptBnYhoPbD3Im60yZ1Onq7oqDo0OZ1CVyN7ldx+2SzJ07l2HDhjF37twyq7NixYp4eHhY5Re6IrdKWRWxDcqqiG1QVkVsg7IqtqLMBteDg4Px8PAgNja22DKjR4/Gz8+vwLRp06bh5eVlfj9gwACeffZZxo8fT+3atWncuDEAM2fOpFGjRjg5OeHu7k7Pnj3Ny+Tl5REbG0v9+vWpVKkSvr6+LFu2rNh2uLm5sW7dOnr16kXjxo159NFHeeedd0hLS+Po0aM3twHkll06f4ndK3cT+HIgPiE+7Fi0wzwv53QOH73yEW82epOo2lGMazmOlIUpAFy9fJVlw5YxynsUkbUiGfPwGNb9Z5152b/eiuVQyiEmB00mslYkU5+Yyrerv2VItSEcSz8GwIGvDjCk2hC+3/w9U5+YStQDUUzrOI2TB04WaG96UjpvtXuLyFqRjG0+lrWT1pJ7Ndc8/5eDvzC9y3Qia0US+2gs+zfuvy3bTeRmlea4DbB8+XKaNm2Ko6MjXl5eTJ061TyvXbt2HDlyhIiICAwGQ4knC5s3b+bChQvExMRw9uxZtm3bVmD+N998Q/v27XFxccHV1ZUWLVqQmpoKwJEjR+jatStVq1bF2dmZpk2bkpSUBBR9aducOXPw9PTkvvvuo3v37sTFxVGlShXz/Pw+6aOPPsLLyws3Nzf69OnDuXPnzGVK078kJSVhNBqpVKkS7du35/DhwzfcBiKWUlaVVbENyqqyKrZBWVVWxTYoq8qqrSizwXV7e3smTJjAjBkzOHbs2C3VtX79evbv38+6detITEwkNTWVwYMHExMTw/79+1m7di1BQUHm8rGxsSxYsIBZs2axd+9eIiIi6Nu3L5s3by71Os+cOYPBYCiwI8udtXvlbmo2qol7I3da9mpJysIUTCYTAEkTkjix/wSvLn2V4V8P5/m3nsf5fmcAtszewndrvqP/3P78a8e/6Pd+P6rVrVbkOi6evcicv82htk9tIjdG0nlEZz4b81mRZVePW023sd0Yun4odg52LB602Dzv4PaDLPz7QoJeDWL49uH0iuvFjkU7WDf12qB+Xl4ec1+ci0NFByLWRdArrlex6xEpL6U5bqelpdGrVy/69OlDeno6o0ePZuTIkcybNw+AFStWUKdOHWJiYsjKyiIrK+uG64yPjyc0NJQKFSoQGhpKfHx8gfkvvPACderUYefOnaSlpTF8+HAqVKgAwGuvvcalS5fYsmUL6enpTJo0icqVKxe5nuTkZMLDw3n99dfZs2cPISEhjB8/vlC5gwcPsnLlShITE0lMTGTz5s0FLj0sqX/56aefeO655+jatSt79uwhLCyM4cOH33AbiFhKWVVWxTYoq8qq2AZlVVkV26CsKqu2okzvldG9e3f8/PyIjo4utANawtnZmQ8++ICKFSsC18Lg7OzM008/jYuLC/Xq1aN58+YAXLp0iQkTJvDll1/SunVrABo0aMBXX33F7Nmzadu2bYnru3jxIv/85z8JDQ3F1dX1ptsttyYlIYWWz7cEoEmHJlw4e4Efkn+g0eONyD6WzQPNHqBu87oA3F/3fvNy2cezqdGwBg0ebYDBYKCaZ9ED6wBpy9MwGAz0ntabCk4V8GjiwZmsMywZsqRQ2S7/7sKDgQ8CEDwkmPd7v8+Vi1eo4FSBzyd/TochHQgIDQCguld1nvrXU6wavYpO/+zE95u+5+SBk4QvC8etlpu5vtm9ZpfNxhIpIyUdt+Pi4ujQoQMjR44EwGg0kpGRwZQpUxgwYADVqlXD3t4eFxcXPDw8brius2fPsmzZMrZv3w5A3759adOmDW+//bb5pOPo0aNERUXRpEkTABo1amRe/ujRo/To0YNmzZoB1471xZkxYwadO3cmMjLS3O5t27aRmJhYoFxeXh7z5s3DxcUFgH79+rF+/XrGjx9fqv7lvffeo2HDhuZfRzRu3Nh8IiVSlpRVZVVsg7KqrIptUFaVVbENyqqyagvK7Jfr+SZNmsT8+fPJzMy86TqaNWtmHlgHCAkJoV69ejRo0IB+/fqxcOFCcnJyAPjhhx/IyckhJCSEypUrm18LFizg4MGDJa7rypUr9OrVC5PJxHvvvXfTbZZbc/LASY7sOoJ/D38A7B3sad69OSkJ1279EvhSILs/3c3koMmsil7FoZRD5mUDQgM4nn6cCQETWD58Ofs27Ct2PacOnKJ209pUcKpgnlavRb0iy9ZuWtv8b1f3a1+6nP/1PADHvzvOF1O+YJjnMPNryZAlnD1xlss5lzn5/UmqPlDVPLAO4BXgZeFWEbkzbnTczszMJDAwsMC0wMBADhw4QG5ubqHyN7Jo0SIaNmyIr68vAH5+ftSrV48lS65/ufXGG28QFhZGcHAwEydOLHAcHzx4MOPGjSMwMJDo6Gi+/fbbQuvIt3//fgICAgpM++t7uPZwm/wTFYBatWpx6tQpoHT9S2ZmJo888kiBOvNPbETKmrKqrIptUFaVVbENyqqyKrZBWVVWrV2ZD64HBQXRsWNHRowYUXhldnbm23zku3LlSqFyzs7OBd67uLiwa9cuFi1aRK1atRg1ahS+vr6cPn2a8+evDXauXr2aPXv2mF8ZGRk3vO96/rp79erFkSNHWLdunX61Xo5SElLIu5pHtE80b9R4gzdqvEHy3GS++ewbLpy9gE+ID9HfRNPu7+04c+IMM7vP5L8j/wuAp68no3aPovOIzly5cIV5L8/jw/4f3nKb7Cr8KR7/uy1XXl4eAJf/uEyn4Z2I2hxlfg37ahhvpr6Jg5Meniq25UbH7bIUHx/P3r17cXBwML8yMjIKPChm9OjR7N27ly5durBhwwZ8fHz49NNPAQgLC+PHH3+kX79+pKen07JlS2bMmHFLbcq/hC+fwWAw5/xW+heR20FZvU5ZFWumrF6nrIo1U1avU1bFmimr1ymr1um2jAJOnDgRPz8/88NI89WoUYMTJ05gMpnMDxHYs2dPqep0cHAgODiY4OBgoqOjqVKlChs2bCAkJARHR0eOHj1aqlvA5MsfWD9w4AAbN27k/vvvL3khuS1yr+ayc8lOuo3tRpP2TQrMi+8Xz67luwh8KZDK1SsTEBpAQGgAya2TWTVqFd3GdgPAydUJ/+f88X/OH99nfJn9/Gz+yP4D56oFv6ip2agmqZ+kcvXSVRwcr+3+R3dZ/hDbOg/X4dSBU9RoUKPI+e5Gd7KPZ3PmxBncPK79ev3wzsMWr0fkTinuuO3t7U1ycnKBacnJyRiNRuzt7YFrTz4v6VcB6enppKamsmnTJqpVu37rpt9//5127dqxb98+86V1RqMRo9FIREQEoaGhfPjhh3Tv3h0AT09PwsPDCQ8PZ8SIEcyZM4dBgwYVWl/jxo3ZuXNngWl/fV8SHx+fEvsXb29vVq1aVWDa119/bdF6RCyhrBamrIo1UlYLU1bFGimrhSmrYo2U1cKUVetxWwbXmzVrxgsvvMD06dMLTG/Xrh2//PILkydPpmfPnqxdu5Y1a9aU+IvxxMREfvzxR4KCgqhatSpJSUnk5eXRuHFjXFxciIyMJCIigry8PB5//HHOnDlDcnIyrq6u9O/fv1B9V65coWfPnuzatYvExERyc3M5ceIEANWqVStwSxq5/fZ+vpec0zk82u9RKrlWKjDv4a4P83XC15zJOoOnnyceTTy4eukqGZ9n4G50B2Djuxtx9XClTrM6GOwMfPPfb3B1d6WSW6VC62rRowWrx61mScQSOrzegexj2Wx4ZwNAiU+N/rMno55kTugcqtapiu8zvhjsDPz83c9k7cuiy5tdMLYzUrNhTT7+x8c8E/MMF89dJGl80i1sJZHbq7jj9tChQ2nVqhVjx46ld+/ebN++nXfeeYeZM2eay3h5ebFlyxb69OmDo6Mj1atXL1R/fHw8AQEBBR5Gna9Vq1bEx8cTExNDVFQUPXv2pH79+hw7doydO3fSo0cPAIYMGULnzp0xGo1kZ2ezceNGvL29i/w8gwYNIigoiLi4OLp27cqGDRtYs2aNRTkvTf8SHh7O1KlTiYqKIiwsjLS0NPPDc0RuB2W1MGVVrJGyWpiyKtZIWS1MWRVrpKwWpqxajzK/LUy+mJgY86UK+by9vZk5cybvvvsuvr6+7Nixw3zz/hupUqUKK1as4IknnsDb25tZs2axaNEimjZtCsDYsWMZOXIksbGxeHt706lTJ1avXk39+vWLrO/48eOsWrWKY8eO4efnR61atcyvbdu23fqHF4ukJKTQuG3jQgPrAL5dfflp90/YOdiRGJPI5DaTmfH0DAz2BvrHX/vixKmyExumb2Bqh6nEdYjj959+55Ulr2BnV3j3dnJ1YuDHAzmefpwpbaeQND6JjsM6Aph/yV4a3h28GbhoIPs37icuOI5pT05j03ubqFbn2jecdnZ2vPzRy1y5eIW44DgWv76Yp9586mY2j8gdU9Rx29/fn6VLl7J48WIeeughRo0aRUxMDAMGDCiw3OHDh2nYsCE1ahS+muPy5cskJCSYTzr+qkePHixYsAA7Ozt+++03XnzxRYxGI7169aJz586MGTMGgNzcXF577TXzcd5oNBY4afqzwMBAZs2aRVxcHL6+vqxdu5aIiAicnJws2iYl9S9169Zl+fLlrFy5El9fX2bNmsWECRMsWoeIpZTVwpRVsUbKamHKqlgjZbUwZVWskbJamLJqHQymv94EvQi7du2iRYsWpKWl4e/vfyfaZXUWLlxI3759GbpxKJ6+nuXdHClDqZ+ksuj/LSL2cCwVK+mqBVuX+kkqCa8m3NPHKynawIED2bdvH1u3bi3vpgjX+1VlVf5KWbUuyqoUR1m1LsqqFEdZtT7KqxRFWbU+pR0P15MX5Z6zY/EOqntVx62WG8e/O85noz/D71k/DayL3GXeeustQkJCcHZ2Zs2aNcyfP7/YXw6ISPlRVkVsg7IqYhuUVRHboKzePTS4Lvecc6fOsSZ2DedOncPV3RW/bn50+XeX8m6WiJSxHTt2MHnyZM6dO0eDBg2YPn06YWFh5d0sEfkLZVXENiirIrZBWRWxDcrq3UOD63LP6TC4Ax0GdyjvZojIbbZ06dLyboKIlIKyKmIblFUR26CsitgGZfXucdseaCoiIiIiIiIiIiIicrfS4LqIiIiIiIiIiIiIiIU0uC4iIiIiIiIiIiIiYiGL7rmelJREZmbm7WqLVUtOTgYg48sMTn5/spxbIyLF+THlR+DePl6J2IL8flVZFbFuyqqIbVBWRWyH8ipiGw4dOlSqcgaTyWQqqdD27dtp06YNubm5t9wwW2ZnZ0deXl55N0NESqCsitgGg50BU16JpyEiUs7Ur4rYBmVVxHYoryK2wd7enq1bt9K6detiy5Tql+uOjo7k5uaSkJCAt7d3mTXQliQlJTFy5Mh7ehuI2AJlVcQ25Ge17+y+uBvdy7s5IlKMjC8zWDN+jfpVESunc2AR26G8itiGzMxM+vbti6Oj4w3LWXRbGG9vb/z9/W+pYbYq/1Kde3kbiNgCZVXENuRn1d3ojqevZzm3RkSKk387RPWrItZN58AitkN5Fbm76IGmIiIiIiIiIiIiIiIW0uC6iIiIiIiIiIiIiIiFNLguIiIiIiIiIiIiImIhDa6LFGPTpk0YDAZOnz5d3k2xqraIWCNryog1tUXkdhhSbQjfrv62vJsBWFdbRO4m1tSXWVNbRKyNNeXDmtoiYm2sKR/W1Ja7RZkMrg8YMACDwcDEiRMLTF+5ciUGg6EsVlHmRo8eTZMmTXB2dqZq1aoEBweTkpJS3s2yaWW5H3h5eTFt2rRSl4+NjcXe3p4pU6ZYtJ4beeyxx8jKysLNza3M6hSxFsqryL3h0I5DRFSP4P3e75dZnTGZMfgE+5RZfSJ3A/WrIrZBWRWxDcqq2JIy++W6k5MTkyZNIjs7u6yqBODy5ctlWl8+o9HIO++8Q3p6Ol999RVeXl48+eST/PLLL7dlffeK27UflGTu3LkMGzaMuXPnllmdFStWxMPDw2q/IBK5VcqryN0vJSGFNgPbcHD7Qc5knSmTOl3dXXFwdCiTukTuJupXRWyDsipiG5RVsRVlNrgeHByMh4cHsbGxxZYZPXo0fn5+BaZNmzYNLy8v8/sBAwbw7LPPMn78eGrXrk3jxo0BmDlzJo0aNcLJyQl3d3d69uxpXiYvL4/Y2Fjq169PpUqV8PX1ZdmyZTds79/+9jeCg4Np0KABTZs2JS4ujrNnz/Ltt7q0+FaUZj8AWL58OU2bNsXR0REvLy+mTp1qnteuXTuOHDlCREQEBoOhxIPP5s2buXDhAjExMZw9e5Zt27YVmP/NN9/Qvn17XFxccHV1pUWLFqSmpgJw5MgRunbtStWqVXF2dqZp06YkJSUBRV8qM2fOHDw9Pbnvvvvo3r07cXFxVKlSxTw/fx//6KOP8PLyws3NjT59+nDu3DlzmdLsr0lJSRiNRipVqkT79u05fPjwDbeByM1QXpVXubtdOn+J3St3E/hyID4hPuxYtMM8L+d0Dh+98hFvNnqTqNpRjGs5jpSF167gu3r5KsuGLWOU9ygia0Uy5uExrPvPOvOyf70Vy6GUQ0wOmkxkrUimPjGVb1d/y5BqQziWfgyAA18dYEi1IXy/+XumPjGVqAeimNZxGicPnCzQ3vSkdN5q9xaRtSIZ23wsayetJfdqrnn+Lwd/YXqX6UTWiiT20Vj2b9x/W7abyM1Sv6p+VWyDsqqsim1QVpVVW1Fmg+v29vZMmDCBGTNmcOzYsVuqa/369ezfv59169aRmJhIamoqgwcPJiYmhv3797N27VqCgoLM5WNjY1mwYAGzZs1i7969RERE0LdvXzZv3lyq9V2+fJn3338fNzc3fH19b6nt97rS7AdpaWn06tWLPn36kJ6ezujRoxk5ciTz5s0DYMWKFdSpU4eYmBiysrLIysq64Trj4+MJDQ2lQoUKhIaGEh8fX2D+Cy+8QJ06ddi5cydpaWkMHz6cChUqAPDaa69x6dIltmzZQnp6OpMmTaJy5cpFric5OZnw8HBef/119uzZQ0hICOPHjy9U7uDBg6xcuZLExEQSExPZvHlzgUuZStpff/rpJ5577jm6du3Knj17CAsLY/jw4TfcBiI3Q3lVXuXutnvlbmo2qol7I3da9mpJysIUTCYTAEkTkjix/wSvLn2V4V8P5/m3nsf5fmcAtszewndrvqP/3P78a8e/6Pd+P6rVrVbkOi6evcicv82htk9tIjdG0nlEZz4b81mRZVePW023sd0Yun4odg52LB602Dzv4PaDLPz7QoJeDWL49uH0iuvFjkU7WDf12qB+Xl4ec1+ci0NFByLWRdArrlex6xEpL+pX1a+KbVBWlVWxDcqqsmoryvSa3u7du+Pn50d0dHShHdASzs7OfPDBB1SsWBG4FgZnZ2eefvppXFxcqFevHs2bNwfg0qVLTJgwgS+//JLWrVsD0KBBA7766itmz55N27Zti11PYmIiffr0IScnh1q1arFu3TqqV69+0+2Wa0raD+Li4ujQoQMjR44Ert2iJyMjgylTpjBgwACqVauGvb09Li4ueHh43HBdZ8+eZdmyZWzfvh2Avn370qZNG95++23zQezo0aNERUXRpEkTABo1amRe/ujRo/To0YNmzZoB1/ad4syYMYPOnTsTGRlpbve2bdtITEwsUC4vL4958+bh4uICQL9+/Vi/fj3jx48v1f763nvv0bBhQ/O3rY0bNzYfmEXKmvKqvMrdKyUhhZbPtwSgSYcmXDh7gR+Sf6DR443IPpbNA80eoG7zugDcX/d+83LZx7Op0bAGDR5tgMFgoJpn0QPrAGnL0zAYDPSe1psKThXwaOLBmawzLBmypFDZLv/uwoOBDwIQPCSY93u/z5WLV6jgVIHPJ39OhyEdCAgNAKC6V3We+tdTrBq9ik7/7MT3m77n5IGThC8Lx62Wm7m+2b1ml83GEikj6lfVr4ptUFaVVbENyqqyagvK7Jfr+SZNmsT8+fPJzMy86TqaNWtmHlgHCAkJoV69ejRo0IB+/fqxcOFCcnJyAPjhhx/IyckhJCSEypUrm18LFizg4MGDN1xP+/bt2bNnD9u2baNTp0706tWLU6dO3XS75bob7QeZmZkEBgYWmBYYGMiBAwfIzc0tVP5GFi1aRMOGDc1XHPj5+VGvXj2WLLn+R/0bb7xBWFgYwcHBTJw4scB+MXjwYMaNG0dgYCDR0dE3vC3Q/v37CQgIKDDtr+/h2sMy8g98ALVq1TLvV6XZXzMzM3nkkUcK1Jl/oBS5HZRX5VXuPicPnOTIriP49/AHwN7Bnubdm5OScO3WL4EvBbL7091MDprMquhVHEo5ZF42IDSA4+nHmRAwgeXDl7Nvw75i13PqwClqN61NBacK5mn1WtQrsmztprXN/3Z1dwXg/K/nATj+3XG+mPIFwzyHmV9Lhizh7ImzXM65zMnvT1L1garmgXUArwAvC7eKyJ2hflX9qtgGZVVZFdugrCqr1q7MB9eDgoLo2LEjI0aMKLwyOzvz5cj5rly5Uqics7NzgfcuLi7s2rWLRYsWUatWLUaNGoWvry+nT5/m/Plrf5StXr2aPXv2mF8ZGRkl3nfd2dmZBx98kEcffZT4+HgcHBxu6Rf3ct2N9oOyFB8fz969e3FwcDC/MjIyCjx4YvTo0ezdu5cuXbqwYcMGfHx8+PTTTwEICwvjxx9/pF+/fqSnp9OyZUtmzJhxS23KvyQon8FgIC8vD+CW9leR20V5vU55lbtFSkIKeVfziPaJ5o0ab/BGjTdInpvMN599w4WzF/AJ8SH6m2ja/b0dZ06cYWb3mfx35H8B8PT1ZNTuUXQe0ZkrF64w7+V5fNj/w1tuk12FP512/u92l/l5u/zHZToN70TU5ijza9hXw3gz9U0cnPTwVLEt6levU78q1kxZvU5ZFWumrF6nrFqn2/LXysSJE/Hz8zM/jDRfjRo1OHHiBCaTyfwQgT179pSqTgcHB4KDgwkODiY6OpoqVaqwYcMGQkJCcHR05OjRoze8BUxp5OXlcenSpVuqQ64rbj/w9vYmOTm5wLTk5GSMRiP29vbAtScpl/QtY3p6OqmpqWzatIlq1a5fsv7777/Trl079u3bZ75Ux2g0YjQaiYiIIDQ0lA8//JDu3bsD4OnpSXh4OOHh4YwYMYI5c+YwaNCgQutr3LgxO3fuLDDtr+9L4uPjU+L+6u3tzapVqwpM+/rrry1aj4illNfClFexVblXc9m5ZCfdxnajSfsmBebF94tn1/JdBL4USOXqlQkIDSAgNIDk1smsGrWKbmO7AeDk6oT/c/74P+eP7zO+zH5+Nn9k/4Fz1YI/gKjZqCapn6Ry9dJVHByvnVYe3XXU4jbXebgOpw6cokaDGkXOdze6k308mzMnzuDmce3X64d3HrZ4PSJ3ivrVwtSvijVSVgtTVsUaKauFKavW47YMrjdr1owXXniB6dOnF5jerl07fvnlFyZPnkzPnj1Zu3Yta9aswdXV9Yb1JSYm8uOPPxIUFETVqlVJSkoiLy+Pxo0b4+LiQmRkJBEREeTl5fH4449z5swZkpOTcXV1pX///oXq++OPPxg/fjzPPPMMtWrV4tdff+Xdd9/l+PHjPP/882W6Le5lxe0HQ4cOpVWrVowdO5bevXuzfft23nnnHWbOnGku4+XlxZYtW+jTpw+Ojo5F3gs/Pj6egICAAg+3zdeqVSvi4+OJiYkhKiqKnj17Ur9+fY4dO8bOnTvp0aMHAEOGDKFz584YjUays7PZuHEj3t7eRX6eQYMGERQURFxcHF27dmXDhg2sWbOmxKdN/1lp9tfw8HCmTp1KVFQUYWFhpKWlmR/GIXK7KK+FKa9iq/Z+vpec0zk82u9RKrlWKjDv4a4P83XC15zJOoOnnyceTTy4eukqGZ9n4G50B2Djuxtx9XClTrM6GOwMfPPfb3B1d6WSW6VC62rRowWrx61mScQSOrzegexj2Wx4ZwOARXl7MupJ5oTOoWqdqvg+44vBzsDP3/1M1r4surzZBWM7IzUb1uTjf3zMMzHPcPHcRZLGJ93CVhK5vdSvFqZ+VayRslqYsirWSFktTFm1HmV+W5h8MTEx5ksV8nl7ezNz5kzeffddfH192bFjh/nm/TdSpUoVVqxYwRNPPIG3tzezZs1i0aJFNG3aFICxY8cycuRIYmNj8fb2plOnTqxevZr69esXWZ+9vT379u2jR48eGI1Gunbtym+//cbWrVvNdUrZKGo/8Pf3Z+nSpSxevJiHHnqIUaNGERMTw4ABAwosd/jwYRo2bEiNGoV/xXb58mUSEhLMB7G/6tGjBwsWLMDOzo7ffvuNF198EaPRSK9evejcuTNjxowBIDc3l9dee8283xiNxgIH4T8LDAxk1qxZxMXF4evry9q1a4mIiMDJycmibVLS/lq3bl2WL1/OypUr8fX1ZdasWUyYMMGidYjcDOW1MOVVbFFKQgqN2zYuNLAO4NvVl592/4Sdgx2JMYlMbjOZGU/PwGBvoH/8tR8kOFV2YsP0DUztMJW4DnH8/tPvvLLkFezsCp82Ork6MfDjgRxPP86UtlNIGp9Ex2EdAcy/ZC8N7w7eDFw0kP0b9xMXHMe0J6ex6b1NVKtz7ZdDdnZ2vPzRy1y5eIW44DgWv76Yp9586mY2j8gdo361MPWrYo2U1cKUVbFGymphyqp1MJj+ehP0IuzatYsWLVqQlpaGv7//nWiX1Vm4cCF9+/a9p7eBFDZw4ED27dvH1q1by7sp8j/KqhRHebUu+VkdunEonr6e5d0cKUOpn6Sy6P8tIvZwLBUrVSx5AbFqqZ+kkvBqgvpVKUT9qnXRObAUR1m1PsqrFEVZtT6lHQ/XE6JELPDWW28REhKCs7Mza9asYf78+cV+Eyki5Ut5FbkzdizeQXWv6rjVcuP4d8f5bPRn+D3rp4F1kbuM+lUR26CsitgGZfXuocF1EQvs2LGDyZMnc+7cORo0aMD06dMJCwsr72aJSBGUV5E749ypc6yJXcO5U+dwdXfFr5sfXf7dpbybJSJlTP2qiG1QVkVsg7J699DguogFli5dWt5NEJFSUl5F7owOgzvQYXCH8m6GiNxm6ldFbIOyKmIblNW7x217oKmIiIiIiIiIiIiIyN1Kg+siIiIiIiIiIiIiIhbS4LqIiIiIiIiIiIiIiIU0uC4iIiIiIiIiIiIiYiGLHmialJREZmbm7WqLVUtOTgbu7W0gYguUVRHbkJ/VjC8zOPn9yXJujYgU58eUHwH1qyLWTufAIrZDeRWxDYcOHSpVOYPJZDKVVGj79u20adOG3NzcW26YLbOzsyMvL6+8myEiJTDYGTDllXhoE5Fypn5VxDYoqyK2QVkVsR3Kq4htsLe3Z+vWrbRu3brYMqX65bqjoyO5ubkkJCTg7e1dZg20JUlJSYwcOfKe3gYitiA/q31n98Xd6F7ezRGRYmR8mcGa8WvUr4pYOZ0Di9gGZVXEdiivIrYhMzOTvn374ujoeMNyFt0WxtvbG39//1tqmK3Kv1TnXt4GIrYgP6vuRnc8fT3LuTUiUpz8W8GoXxWxbjoHFrENyqqI7VBeRe4ueqCpiIiIiIiIiIiIiIiFNLguIiIiIiIiIiIiImIhDa6LFGPTpk0YDAZOnz5d3k2xqraI3C5Dqg3h29XflnczAOtqi8jdxJr6M2tqi4i1saZ8WFNbRKyNNeXDmtoiYm2sKR/W1Ja7RZkMrg8YMACDwcDEiRMLTF+5ciUGg6EsVnFbhYeHYzAYmDZtWnk3xaaV5X7g5eVl0f9HbGws9vb2TJkyxaL13Mhjjz1GVlYWbm5uZVanyN3i0I5DRFSP4P3e75dZnTGZMfgE+5RZfSJ3A/WtIrZBWRWxDcqqiG1QVsWWlNkv152cnJg0aRLZ2dllVSUAly9fLtP6/urTTz/l66+/pnbt2rd1PfeK27UflGTu3LkMGzaMuXPnllmdFStWxMPDwya+IBK501ISUmgzsA0Htx/kTNaZMqnT1d0VB0eLnrMtck9Q3ypiG5RVEdugrIrYBmVVbEWZDa4HBwfj4eFBbGxssWVGjx6Nn59fgWnTpk3Dy8vL/H7AgAE8++yzjB8/ntq1a9O4cWMAZs6cSaNGjXBycsLd3Z2ePXual8nLyyM2Npb69etTqVIlfH19WbZsWYltPn78OIMGDWLhwoVUqFDBsg8sRSrNfgCwfPlymjZtiqOjI15eXkydOtU8r127dhw5coSIiAgMBkOJB5/Nmzdz4cIFYmJiOHv2LNu2bSsw/5tvvqF9+/a4uLjg6upKixYtSE1NBeDIkSN07dqVqlWr4uzsTNOmTUlKSgKKvlRmzpw5eHp6ct9999G9e3fi4uKoUqWKeX7+Pv7RRx/h5eWFm5sbffr04dy5c+Yypdlfk5KSMBqNVKpUifbt23P48OEbbgORO+nS+UvsXrmbwJcD8QnxYceiHeZ5Oadz+OiVj3iz0ZtE1Y5iXMtxpCxMAeDq5assG7aMUd6jiKwVyZiHx7DuP+vMy/71ViyHUg4xOWgykbUimfrEVL5d/S1Dqg3hWPoxAA58dYAh1Ybw/ebvmfrEVKIeiGJax2mcPHCyQHvTk9J5q91bRNaKZGzzsaydtJbcq7nm+b8c/IXpXaYTWSuS2Edj2b9x/23ZbiI3S32r+laxDcqqsiq2QVlVVsU2KKvKqq0os8F1e3t7JkyYwIwZMzh27Ngt1bV+/Xr279/PunXrSExMJDU1lcGDBxMTE8P+/ftZu3YtQUFB5vKxsbEsWLCAWbNmsXfvXiIiIujbty+bN28udh15eXn069ePqKgomjZtekvtletKsx+kpaXRq1cv+vTpQ3p6OqNHj2bkyJHMmzcPgBUrVlCnTh1iYmLIysoiKyvrhuuMj48nNDSUChUqEBoaSnx8fIH5L7zwAnXq1GHnzp2kpaUxfPhw85cpr732GpcuXWLLli2kp6czadIkKleuXOR6kpOTCQ8P5/XXX2fPnj2EhIQwfvz4QuUOHjzIypUrSUxMJDExkc2bNxe4lKmk/fWnn37iueeeo2vXruzZs4ewsDCGDx9+w20gciftXrmbmo1q4t7InZa9WpKyMAWTyQRA0oQkTuw/watLX2X418N5/q3ncb7fGYAts7fw3Zrv6D+3P//a8S/6vd+PanWrFbmOi2cvMudvc6jtU5vIjZF0HtGZz8Z8VmTZ1eNW021sN4auH4qdgx2LBy02zzu4/SAL/76QoFeDGL59OL3ierFj0Q7WTb02qJ+Xl8fcF+fiUNGBiHUR9IrrVex6RMqL+lb1rWIblFVlVWyDsqqsim1QVpVVW1Gm1993794dPz8/oqOjC+2AlnB2duaDDz6gYsWKwLUwODs78/TTT+Pi4kK9evVo3rw5AJcuXWLChAl8+eWXtG7dGoAGDRrw1VdfMXv2bNq2bVvkOiZNmoSDgwODBw++6XZK0UraD+Li4ujQoQMjR44EwGg0kpGRwZQpUxgwYADVqlXD3t4eFxcXPDw8brius2fPsmzZMrZv3w5A3759adOmDW+//bb5IHb06FGioqJo0qQJAI0aNTIvf/ToUXr06EGzZs2Aa/tOcWbMmEHnzp2JjIw0t3vbtm0kJiYWKJeXl8e8efNwcXEBoF+/fqxfv57x48eXan997733aNiwofnb1saNG5sPzCLWICUhhZbPtwSgSYcmXDh7gR+Sf6DR443IPpbNA80eoG7zugDcX/d+83LZx7Op0bAGDR5tgMFgoJpn0QPrAGnL0zAYDPSe1psKThXwaOLBmawzLBmypFDZLv/uwoOBDwIQPCSY93u/z5WLV6jgVIHPJ39OhyEdCAgNAKC6V3We+tdTrBq9ik7/7MT3m77n5IGThC8Lx62Wm7m+2b1ml83GEikj6lvVt4ptUFaVVbENyqqyKrZBWVVWbUGZ/XI936RJk5g/fz6ZmZk3XUezZs3MA+sAISEh1KtXjwYNGtCvXz8WLlxITk4OAD/88AM5OTmEhIRQuXJl82vBggUcPHiwyPrT0tJ4++23mTdvnu53dJvcaD/IzMwkMDCwwLTAwEAOHDhAbm5uofI3smjRIho2bIivry8Afn5+1KtXjyVLrg/AvfHGG4SFhREcHMzEiRML7BeDBw9m3LhxBAYGEh0dzbfffltoHfn2799PQEBAgWl/fQ/XHpaRf+ADqFWrFqdOnQJKt79mZmbyyCOPFKgz/0ApUt5OHjjJkV1H8O/hD4C9gz3NuzcnJeHarV8CXwpk96e7mRw0mVXRqziUcsi8bEBoAMfTjzMhYALLhy9n34Z9xa7n1IFT1G5amwpO12/ZVa9FvSLL1m56/ZkZru6uAJz/9TwAx787zhdTvmCY5zDza8mQJZw9cZbLOZc5+f1Jqj5Q1TywDuAV4GXhVhG5M9S3qm8V26CsKqtiG5RVZVVsg7KqrFq7Mh9cDwoKomPHjowYMaLwyuzszLcOyHflypVC5ZydnQu8d3FxYdeuXSxatIhatWoxatQofH19OX36NOfPXxtAWb16NXv27DG/MjIyir3v+tatWzl16hR169bFwcEBBwcHjhw5wtChQwvc/11u3o32g7IUHx/P3r17zf+PDg4OZGRkFHjwxOjRo9m7dy9dunRhw4YN+Pj48OmnnwIQFhbGjz/+SL9+/UhPT6dly5bMmDHjltr01/v3GwwG8vLyAG5qfxWxJikJKeRdzSPaJ5o3arzBGzXeIHluMt989g0Xzl7AJ8SH6G+iaff3dpw5cYaZ3Wfy35H/BcDT15NRu0fReURnrly4wryX5/Fh/w9vuU12Ff7Ulf3v+9L8zF3+4zKdhncianOU+TXsq2G8mfomDk56eKrYFvWt16lvFWumrF6nrIo1U1avU1bFmimr1ymr1um2jCxMnDgRPz8/88NI89WoUYMTJ05gMpnMvxjfs2dPqep0cHAgODiY4OBgoqOjqVKlChs2bCAkJARHR0eOHj1a7C1g/qpfv34EBwcXmNaxY0f69evHSy+9VKo6pGTF7Qfe3t4kJycXmJacnIzRaMTe3h649iTlkr5lTE9PJzU1lU2bNlGt2vXbS/z++++0a9eOffv2mS/VMRqNGI1GIiIiCA0N5cMPP6R79+4AeHp6Eh4eTnh4OCNGjGDOnDkMGjSo0PoaN27Mzp07C0z76/uS+Pj4lLi/ent7s2rVqgLTvv76a4vWI3I75F7NZeeSnXQb240m7ZsUmBffL55dy3cR+FIglatXJiA0gIDQAJJbJ7Nq1Cq6je0GgJOrE/7P+eP/nD++z/gy+/nZ/JH9B85VC36pWrNRTVI/SeXqpas4OF7rqo7uOmpxm+s8XIdTB05Ro0GNIue7G93JPp7NmRNncPO49uv1wzsPW7wekTtFfWth6lvFGimrhSmrYo2U1cKUVbFGymphyqr1uC2D682aNeOFF15g+vTpBaa3a9eOX375hcmTJ9OzZ0/Wrl3LmjVrcHV1vWF9iYmJ/PjjjwQFBVG1alWSkpLIy8ujcePGuLi4EBkZSUREBHl5eTz++OOcOXOG5ORkXF1d6d+/f6H67r//fu6///4C0ypUqICHh0ehoMrNK24/GDp0KK1atWLs2LH07t2b7du388477zBz5kxzGS8vL7Zs2UKfPn1wdHSkevXqheqPj48nICCgwMNt87Vq1Yr4+HhiYmKIioqiZ8+e1K9fn2PHjrFz50569OgBwJAhQ+jcuTNGo5Hs7Gw2btyIt7d3kZ9n0KBBBAUFERcXR9euXdmwYQNr1qyx6NZCpdlfw8PDmTp1KlFRUYSFhZGWlmZ+GIdIedr7+V5yTufwaL9HqeRaqcC8h7s+zNcJX3Mm6wyefp54NPHg6qWrZHyegbvRHYCN727E1cOVOs3qYLAz8M1/v8HV3ZVKbpUKratFjxasHreaJRFL6PB6B7KPZbPhnQ0AFmXuyagnmRM6h6p1quL7jC8GOwM/f/czWfuy6PJmF4ztjNRsWJOP//Exz8Q8w8VzF0kan3QLW0nk9lLfWpj6VrFGymphyqpYI2W1MGVVrJGyWpiyaj3K/LYw+WJiYsyXKuTz9vZm5syZvPvuu/j6+rJjxw7zzftvpEqVKqxYsYInnngCb29vZs2axaJFi2jatCkAY8eOZeTIkcTGxuLt7U2nTp1YvXo19evXvy2fTUqvqP3A39+fpUuXsnjxYh566CFGjRpFTEwMAwYMKLDc4cOHadiwITVqFP7F6eXLl0lISDAfxP6qR48eLFiwADs7O3777TdefPFFjEYjvXr1onPnzowZMwaA3NxcXnvtNfN+YzQaCxyE/ywwMJBZs2YRFxeHr68va9euJSIiAicnJ4u2SUn7a926dVm+fDkrV67E19eXWbNmMWHCBIvWIXI7pCSk0Lht40ID6wC+XX35afdP2DnYkRiTyOQ2k5nx9AwM9gb6x1/7ktOpshMbpm9gaoepxHWI4/effueVJa9gZ1e4K3JydWLgxwM5nn6cKW2nkDQ+iY7DOgKYf8leGt4dvBm4aCD7N+4nLjiOaU9OY9N7m6hW59qvEezs7Hj5o5e5cvEKccFxLH59MU+9+dTNbB6RO0Z9a2HqW8UaKauFKatijZTVwpRVsUbKamHKqnUwmP56E/Qi7Nq1ixYtWpCWloa/v/+daJfVWbhwIX379r2nt4EUNnDgQPbt28fWrVvLuynyP/lZHbpxKJ6+nuXdHClDqZ+ksuj/LSL2cCwVK1UseQGxaqmfpJLwaoL6VSlEfat10TmwFEdZtS7KqhRHWbU+yqsURVm1PqUdD9fT3EQs8NZbbxESEoKzszNr1qxh/vz5xX4TKSK3ZsfiHVT3qo5bLTeOf3ecz0Z/ht+zfhpYF7nLqG8VsQ3KqohtUFZFbIOyevfQ4LqIBXbs2MHkyZM5d+4cDRo0YPr06YSFhZV3s0TuSudOnWNN7BrOnTqHq7srft386PLvLuXdLBEpY+pbRWyDsipiG5RVEdugrN49NLguYoGlS5eWdxNE7hkdBnegw+AO5d0MEbnN1LeK2AZlVcQ2KKsitkFZvXvctgeaioiIiIiIiIiIiIjcrTS4LiIiIiIiIiIiIiJiIQ2ui4iIiIiIiIiIiIhYSIPrIiIiIiIiIiIiIiIWsuiBpklJSWRmZt6utli15ORk4N7eBiK2ID+rGV9mcPL7k+XcGhEpzo8pPwLqV0Wsnc6BRWyDsipiO5RXEdtw6NChUpUzmEwmU0mFtm/fTps2bcjNzb3lhtkyOzs78vLyyrsZIlICg50BU16JhzYRKWfqV0Vsg7IqYhuUVRHbobyK2AZ7e3u2bt1K69atiy1Tql+uOzo6kpubS0JCAt7e3mXWQFuSlJTEyJEj7+ltIGIL8rPad3Zf3I3u5d0cESlGxpcZrBm/Rv2qiJXTObCIbVBWRWyH8ipiGzIzM+nbty+Ojo43LGfRbWG8vb3x9/e/pYbZqvxLde7lbSBiC/Kz6m50x9PXs5xbIyLFyb9tk/pVEeumc2AR26CsitgO5VXk7qIHmoqIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFtLguoiIiIiIiIiIiIiIhTS4LlKMTZs2YTAYOH36dHk3xaraInK7DKk2hG9Xf1vezQCsqy0idxNr6s+sqS0i1saa8mFNbRGxNtaUD2tqi4i1saZ8WFNb7hZlMrg+YMAADAYDEydOLDB95cqVGAyGslhFmctv859fnTp1Ku9m2bSy3A+8vLyYNm1aqcvHxsZib2/PlClTLFrPjTz22GNkZWXh5uZWZnWK3C0O7ThERPUI3u/9fpnVGZMZg0+wT5nVJ3I3UN8qYhuUVRHboKyK2AZlVWxJmf1y3cnJiUmTJpGdnV1WVQJw+fLlMq3vzzp16kRWVpb5tWjRotu2rnvF7doPSjJ37lyGDRvG3Llzy6zOihUr4uHhYbVfEImUp5SEFNoMbMPB7Qc5k3WmTOp0dXfFwdGhTOoSuZuobxWxDcqqiG1QVkVsg7IqtqLMBteDg4Px8PAgNja22DKjR4/Gz8+vwLRp06bh5eVlfj9gwACeffZZxo8fT+3atWncuDEAM2fOpFGjRjg5OeHu7k7Pnj3Ny+Tl5REbG0v9+vWpVKkSvr6+LFu2rMQ2Ozo64uHhYX5VrVrVsg8thZRmPwBYvnw5TZs2xdHRES8vL6ZOnWqe165dO44cOUJERIT5qoIb2bx5MxcuXCAmJoazZ8+ybdu2AvO/+eYb2rdvj4uLC66urrRo0YLU1FQAjhw5QteuXalatSrOzs40bdqUpKQkoOhLZebMmYOnpyf33Xcf3bt3Jy4ujipVqpjn5+/jH330EV5eXri5udGnTx/OnTtnLlOa/TUpKQmj0UilSpVo3749hw8fvuE2ELmTLp2/xO6Vuwl8ORCfEB92LNphnpdzOoePXvmINxu9SVTtKMa1HEfKwhQArl6+yrJhyxjlPYrIWpGMeXgM6/6zzrzsX2/FcijlEJODJhNZK5KpT0zl29XfMqTaEI6lHwPgwFcHGFJtCN9v/p6pT0wl6oEopnWcxskDJwu0Nz0pnbfavUVkrUjGNh/L2klryb2aa57/y8FfmN5lOpG1Iol9NJb9G/fflu0mcrPUt6pvFdugrCqrYhuUVWVVbIOyqqzaijIbXLe3t2fChAnMmDGDY8eO3VJd69evZ//+/axbt47ExERSU1MZPHgwMTEx7N+/n7Vr1xIUFGQuHxsby4IFC5g1axZ79+4lIiKCvn37snnz5huuZ9OmTdSsWZPGjRvz97//nd9+++2W2i2l2w/S0tLo1asXffr0IT09ndGjRzNy5EjmzZsHwIoVK6hTpw4xMTHmqwpuJD4+ntDQUCpUqEBoaCjx8fEF5r/wwgvUqVOHnTt3kpaWxvDhw6lQoQIAr732GpcuXWLLli2kp6czadIkKleuXOR6kpOTCQ8P5/XXX2fPnj2EhIQwfvz4QuUOHjzIypUrSUxMJDExkc2bNxe4lKmk/fWnn37iueeeo2vXruzZs4ewsDCGDx9+w20gciftXrmbmo1q4t7InZa9WpKyMAWTyQRA0oQkTuw/watLX2X418N5/q3ncb7fGYAts7fw3Zrv6D+3P//a8S/6vd+PanWrFbmOi2cvMudvc6jtU5vIjZF0HtGZz8Z8VmTZ1eNW021sN4auH4qdgx2LBy02zzu4/SAL/76QoFeDGL59OL3ierFj0Q7WTb02qJ+Xl8fcF+fiUNGBiHUR9IrrVex6RMqL+lb1rWIblFVlVWyDsqqsim1QVpVVW1Gm1993794dPz8/oqOjC+2AlnB2duaDDz6gYsWKwLUwODs78/TTT+Pi4kK9evVo3rw5AJcuXWLChAl8+eWXtG7dGoAGDRrw1VdfMXv2bNq2bVvkOjp16sRzzz1H/fr1OXjwIP/617/o3Lkz27dvx97e/qbbLiXvB3FxcXTo0IGRI0cCYDQaycjIYMqUKQwYMIBq1aphb2+Pi4sLHh4eN1zX2bNnWbZsGdu3bwegb9++tGnThrffftt8EDt69ChRUVE0adIEgEaNGpmXP3r0KD169KBZs2bAtX2nODNmzKBz585ERkaa271t2zYSExMLlMvLy2PevHm4uLgA0K9fP9avX8/48eNLtb++9957NGzY0Pxta+PGjc0HZhFrkJKQQsvnWwLQpEMTLpy9wA/JP9Do8UZkH8vmgWYPULd5XQDur3u/ebns49nUaFiDBo82wGAwUM2z6IF1gLTlaRgMBnpP600Fpwp4NPHgTNYZlgxZUqhsl3934cHABwEIHhLM+73f58rFK1RwqsDnkz+nw5AOBIQGAFDdqzpP/espVo1eRad/duL7Td9z8sBJwpeF41bLzVzf7F6zy2ZjiZQR9a3qW8U2KKvKqtgGZVVZFdugrCqrtqDMfrmeb9KkScyfP5/MzMybrqNZs2bmgXWAkJAQ6tWrR4MGDejXrx8LFy4kJycHgB9++IGcnBxCQkKoXLmy+bVgwQIOHjxY7Dr69OnDM888Q7NmzXj22WdJTExk586dbNq06abbLdfdaD/IzMwkMDCwwLTAwEAOHDhAbm5uofI3smjRIho2bIivry8Afn5+1KtXjyVLrg/AvfHGG4SFhREcHMzEiRML7BeDBw9m3LhxBAYGEh0dzbfffltoHfn2799PQEBAgWl/fQ/XHpaRf+ADqFWrFqdOnQJKt79mZmbyyCOPFKgz/0ApUt5OHjjJkV1H8O/hD4C9gz3NuzcnJeHarV8CXwpk96e7mRw0mVXRqziUcsi8bEBoAMfTjzMhYALLhy9n34Z9xa7n1IFT1G5amwpOFczT6rWoV2TZ2k1rm//t6u4KwPlfzwNw/LvjfDHlC4Z5DjO/lgxZwtkTZ7mcc5mT35+k6gNVzQPrAF4BXhZuFZE7Q32r+laxDcqqsiq2QVlVVsU2KKvKqrUr88H1oKAgOnbsyIgRIwqvzM7OfOuAfFeuXClUztnZucB7FxcXdu3axaJFi6hVqxajRo3C19eX06dPc/78tQGU1atXs2fPHvMrIyOjVPddz9egQQOqV6/ODz/8UOplpHg32g/KUnx8PHv37sXBwcH8ysjIKPDgidGjR7N37166dOnChg0b8PHx4dNPPwUgLCyMH3/8kX79+pGenk7Lli2ZMWPGLbUp/5KgfAaDgby8PIAy219FyktKQgp5V/OI9onmjRpv8EaNN0iem8w3n33DhbMX8AnxIfqbaNr9vR1nTpxhZveZ/HfkfwHw9PVk1O5RdB7RmSsXrjDv5Xl82P/DW26TXYU/dWX/u4VefuYu/3GZTsM7EbU5yvwa9tUw3kx9EwcnPTxVbIv61uvUt4o1U1avU1bFmimr1ymrYs2U1euUVet0W0YWJk6ciJ+fn/lhpPlq1KjBiRMnMJlM5ocI7Nmzp1R1Ojg4EBwcTHBwMNHR0VSpUoUNGzYQEhKCo6MjR48eLfYWMKVx7NgxfvvtN2rVqnXTdUhBxe0H3t7eJCcnF5iWnJyM0Wg035KnYsWKJX7LmJ6eTmpqKps2baJateu3l/j9999p164d+/btM1+qYzQaMRqNREREEBoayocffkj37t0B8PT0JDw8nPDwcEaMGMGcOXMYNGhQofU1btyYnTt3Fpj21/cl8fHxKXF/9fb2ZtWqVQWmff311xatR+R2yL2ay84lO+k2thtN2jcpMC++Xzy7lu8i8KVAKlevTEBoAAGhASS3TmbVqFV0G9sNACdXJ/yf88f/OX98n/Fl9vOz+SP7D5yrFvxStWajmqR+ksrVS1dxcLzWVR3dddTiNtd5uA6nDpyiRoMaRc53N7qTfTybMyfO4OZx7dfrh3cetng9IneK+tbC1LeKNVJWC1NWxRopq4Upq2KNlNXClFXrcVsG15s1a8YLL7zA9OnTC0xv164dv/zyC5MnT6Znz56sXbuWNWvW4OrqesP6EhMT+fHHHwkKCqJq1aokJSWRl5dH48aNcXFxITIykoiICPLy8nj88cc5c+YMycnJuLq60r9//0L1nT9/njFjxtCjRw88PDw4ePAgw4YN48EHH6Rjx45lui3uZcXtB0OHDqVVq1aMHTuW3r17s337dt555x1mzpxpLuPl5cWWLVvo06cPjo6OVK9evVD98fHxBAQEFHi4bb5WrVoRHx9PTEwMUVFR9OzZk/r163Ps2DF27txJjx49ABgyZAidO3fGaDSSnZ3Nxo0b8fb2LvLzDBo0iKCgIOLi4ujatSsbNmxgzZo1JT5t+s9Ks7+Gh4czdepUoqKiCAsLIy0tzfwwDpHytPfzveSczuHRfo9SybVSgXkPd32YrxO+5kzWGTz9PPFo4sHVS1fJ+DwDd6M7ABvf3Yirhyt1mtXBYGfgm/9+g6u7K5XcKhVaV4seLVg9bjVLIpbQ4fUOZB/LZsM7GwAsytyTUU8yJ3QOVetUxfcZXwx2Bn7+7mey9mXR5c0uGNsZqdmwJh//42OeiXmGi+cukjQ+6Ra2ksjtpb61MPWtYo2U1cKUVbFGymphyqpYI2W1MGXVepT5bWHyxcTEmC9VyOft7c3MmTN599138fX1ZceOHeab999IlSpVWLFiBU888QTe3t7MmjWLRYsW0bRpUwDGjh3LyJEjiY2Nxdvbm06dOrF69Wrq169fZH329vZ8++23PPPMMxiNRv7v//6PFi1asHXrVhwdHW/9w4tZUfuBv78/S5cuZfHixTz00EOMGjWKmJgYBgwYUGC5w4cP07BhQ2rUKPyL08uXL5OQkGA+iP1Vjx49WLBgAXZ2dvz222+8+OKLGI1GevXqRefOnRkzZgwAubm5vPbaa+b9xmg0FjgI/1lgYCCzZs0iLi4OX19f1q5dS0REBE5OThZtk5L217p167J8+XJWrlyJr68vs2bNYsKECRatQ+R2SElIoXHbxoUG1gF8u/ry0+6fsHOwIzEmkcltJjPj6RkY7A30j7/2JadTZSc2TN/A1A5TiesQx+8//c4rS17Bzq5wV+Tk6sTAjwdyPP04U9pOIWl8Eh2HXfvyM/+X7KXh3cGbgYsGsn/jfuKC45j25DQ2vbeJanWu/RrBzs6Olz96mSsXrxAXHMfi1xfz1JtP3czmEblj1LcWpr5VrJGyWpiyKtZIWS1MWRVrpKwWpqxaB4PprzdBL8KuXbto0aIFaWlp+Pv734l2WZ2FCxfSt2/fe3obSGEDBw5k3759bN26tbybIv+Tn9WhG4fi6etZ3s2RMpT6SSqL/t8iYg/HUrFSxZIXEKuW+kkqCa8mqF+VQtS3WhedA0txlFXroqxKcZRV66O8SlGUVetT2vFwPc1NxAJvvfUWISEhODs7s2bNGubPn1/sN5Eicmt2LN5Bda/quNVy4/h3x/ls9Gf4PeungXWRu4z6VhHboKyK2AZlVcQ2KKt3Dw2ui1hgx44dTJ48mXPnztGgQQOmT59OWFhYeTdL5K507tQ51sSu4dypc7i6u+LXzY8u/+5S3s0SkTKmvlXENiirIrZBWRWxDcrq3UOD6yIWWLp0aXk3QeSe0WFwBzoM7lDezRCR20x9q4htUFZFbIOyKmIblNW7x217oKmIiIiIiIiIiIiIyN1Kg+siIiIiIiIiIiIiIhbS4LqIiIiIiIiIiIiIiIU0uC4iIiIiIiIiIiIiYiGLHmialJREZmbm7WqLVUtOTgbu7W0gYgvys5rxZQYnvz9Zzq0RkeL8mPIjoH5VxNrpHFjENiirIrZDeRWxDYcOHSpVOYPJZDKVVGj79u20adOG3NzcW26YLbOzsyMvL6+8myEiJVBWRWyDwc6AKa/E0xARKWfqV0Vsg7IqYjuUVxHbYG9vz9atW2ndunWxZUr1y3VHR0dyc3NJSEjA29u7zBpoS5KSkhg5cuQ9vQ1EbIGyKmIb8rPad3Zf3I3u5d0cESlGxpcZrBm/Rv2qiJXTObCI7VBeRWxDZmYmffv2xdHR8YblLLotjLe3N/7+/rfUMFuVf6nOvbwNRGyBsipiG/Kz6m50x9PXs5xbIyLFyb/FmvpVEeumc2AR26G8itxd9EBTERERERERERERERELaXBdRERERERERERERMRCGlwXKcamTZswGAycPn26vJtiVW0RsUbWlBFraovI7TCk2hC+Xf1teTcDsK62iNxNrKkvs6a2iFgba8qHNbVFxNpYUz6sqS13izIZXB8wYAAGg4GJEycWmL5y5UoMBkNZrOK2yMzM5JlnnsHNzQ1nZ2datWrF0aNHy7tZNqss9wMvLy+mTZtW6vKxsbHY29szZcoUi9ZzI4899hhZWVm4ubmVWZ0i1kJ5Fbk3HNpxiIjqEbzf+/0yqzMmMwafYJ8yq0/kbqB+VcQ2KKsitkFZFVtSZr9cd3JyYtKkSWRnZ5dVlQBcvny5TOvLd/DgQR5//HGaNGnCpk2b+Pbbbxk5ciROTk63ZX33itu1H5Rk7ty5DBs2jLlz55ZZnRUrVsTDw8OqvyASuRXKq8jdLyUhhTYD23Bw+0HOZJ0pkzpd3V1xcHQok7pE7ibqV0Vsg7IqYhuUVbEVZTa4HhwcjIeHB7GxscWWGT16NH5+fgWmTZs2DS8vL/P7AQMG8OyzzzJ+/Hhq165N48aNAZg5cyaNGjXCyckJd3d3evbsaV4mLy+P2NhY6tevT6VKlfD19WXZsmU3bO+bb77JU089xeTJk2nevDkNGzbkmWeeoWbNmpZ/eDErzX4AsHz5cpo2bYqjoyNeXl5MnTrVPK9du3YcOXKEiIgIDAZDiQefzZs3c+HCBWJiYjh79izbtm0rMP+bb76hffv2uLi44OrqSosWLUhNTQXgyJEjdO3alapVq+Ls7EzTpk1JSkoCir5UZs6cOXh6enLffffRvXt34uLiqFKlinl+/j7+0Ucf4eXlhZubG3369OHcuXPmMqXZX5OSkjAajVSqVIn27dtz+PDhG24DkZuhvCqvcne7dP4Su1fuJvDlQHxCfNixaId5Xs7pHD565SPebPQmUbWjGNdyHCkLUwC4evkqy4YtY5T3KCJrRTLm4TGs+88687J/vRXLoZRDTA6aTGStSKY+MZVvV3/LkGpDOJZ+DIADXx1gSLUhfL/5e6Y+MZWoB6KY1nEaJw+cLNDe9KR03mr3FpG1IhnbfCxrJ60l92quef4vB39hepfpRNaKJPbRWPZv3H9btpvIzVK/qn5VbIOyqqyKbVBWlVVbUWaD6/b29kyYMIEZM2Zw7NixW6pr/fr17N+/n3Xr1pGYmEhqaiqDBw8mJiaG/fv3s3btWoKCgszlY2NjWbBgAbNmzWLv3r1ERETQt29fNm/eXGT9eXl5rF69GqPRSMeOHalZsyaPPPIIK1euvKV2S+n2g7S0NHr16kWfPn1IT09n9OjRjBw5knnz5gGwYsUK6tSpQ0xMDFlZWWRlZd1wnfHx8YSGhlKhQgVCQ0OJj48vMP+FF16gTp067Ny5k7S0NIYPH06FChUAeO2117h06RJbtmwhPT2dSZMmUbly5SLXk5ycTHh4OK+//jp79uwhJCSE8ePHFyp38OBBVq5cSWJiIomJiWzevLnApUwl7a8//fQTzz33HF27dmXPnj2EhYUxfPjwG24DkZuhvCqvcnfbvXI3NRvVxL2ROy17tSRlYQomkwmApAlJnNh/gleXvsrwr4fz/FvP43y/MwBbZm/huzXf0X9uf/6141/0e78f1epWK3IdF89eZM7f5lDbpzaRGyPpPKIzn435rMiyq8etptvYbgxdPxQ7BzsWD1psnndw+0EW/n0hQa8GMXz7cHrF9WLHoh2sm3ptUD8vL4+5L87FoaIDEesi6BXXq9j1iJQX9avqV8U2KKvKqtgGZVVZtRVlek1v9+7d8fPzIzo6utAOaAlnZ2c++OADKlasCFwLg7OzM08//TQuLi7Uq1eP5s2bA3Dp0iUmTJjAl19+SevWrQFo0KABX331FbNnz6Zt27aF6j916hTnz59n4sSJjBs3jkmTJrF27Vqee+45Nm7cWOQyUnol7QdxcXF06NCBkSNHAmA0GsnIyGDKlCkMGDCAatWqYW9vj4uLCx4eHjdc19mzZ1m2bBnbt28HoG/fvrRp04a3337bfBA7evQoUVFRNGnSBIBGjRqZlz969Cg9evSgWbNmwLV9pzgzZsygc+fOREZGmtu9bds2EhMTC5TLy8tj3rx5uLi4ANCvXz/Wr1/P+PHjS7W/vvfeezRs2ND8bWvjxo3NB2aRsqa8Kq9y90pJSKHl8y0BaNKhCRfOXuCH5B9o9Hgjso9l80CzB6jbvC4A99e937xc9vFsajSsQYNHG2AwGKjmWfTAOkDa8jQMBgO9p/WmglMFPJp4cCbrDEuGLClUtsu/u/Bg4IMABA8J5v3e73Pl4hUqOFXg88mf02FIBwJCAwCo7lWdp/71FKtGr6LTPzvx/abvOXngJOHLwnGr5Waub3av2WWzsUTKiPpV9atiG5RVZVVsg7KqrNqCMvvler5JkyYxf/58MjMzb7qOZs2amQfWAUJCQqhXrx4NGjSgX79+LFy4kJycHAB++OEHcnJyCAkJoXLlyubXggULOHjwYJH15+XlAdCtWzciIiLw8/Nj+PDhPP3008yaNeum2y3X3Wg/yMzMJDAwsMC0wMBADhw4QG5ubqHyN7Jo0SIaNmyIr68vAH5+ftSrV48lS67/Uf/GG28QFhZGcHAwEydOLLBfDB48mHHjxhEYGEh0dDTffvttoXXk279/PwEBAQWm/fU9XHtYRv6BD6BWrVqcOnUKKN3+mpmZySOPPFKgzvwDpcjtoLwqr3L3OXngJEd2HcG/hz8A9g72NO/enJSEa7d+CXwpkN2f7mZy0GRWRa/iUMoh87IBoQEcTz/OhIAJLB++nH0b9hW7nlMHTlG7aW0qOFUwT6vXol6RZWs3rW3+t6u7KwDnfz0PwPHvjvPFlC8Y5jnM/FoyZAlnT5zlcs5lTn5/kqoPVDUPrAN4BXhZuFVE7gz1q+pXxTYoq8qq2AZlVVm1dmU+uB4UFETHjh0ZMWJE4ZXZ2ZkvR8535cqVQuWcnZ0LvHdxcWHXrl0sWrSIWrVqMWrUKHx9fTl9+jTnz1/7o2z16tXs2bPH/MrIyCj2vuvVq1fHwcEBHx+fAtO9vb05evSoRZ9Xinaj/aAsxcfHs3fvXhwcHMyvjIyMAg+eGD16NHv37qVLly5s2LABHx8fPv30UwDCwsL48ccf6devH+np6bRs2ZIZM2bcUpvyLwnKZzAYzF/o3Mz+KnK7Ka/XKa9yt0hJSCHvah7RPtG8UeMN3qjxBslzk/nms2+4cPYCPiE+RH8TTbu/t+PMiTPM7D6T/478LwCevp6M2j2KziM6c+XCFea9PI8P+394y22yq/Cn087/3e4yP2+X/7hMp+GdiNocZX4N+2oYb6a+iYOTHp4qtkX96nXqV8WaKavXKatizZTV65RV63Rb/lqZOHEifn5+5oeR5qtRowYnTpzAZDKZHyKwZ8+eUtXp4OBAcHAwwcHBREdHU6VKFTZs2EBISAiOjo4cPXq01LdzqVixIq1atWL//oIPwvr++++pV6/oX1uJ5YrbD7y9vUlOTi4wLTk5GaPRiL29PXDt/6ikbxnT09NJTU1l06ZNVKt2/ZL133//nXbt2rFv3z7zpTpGoxGj0UhERAShoaF8+OGHdO/eHQBPT0/Cw8MJDw9nxIgRzJkzh0GDBhVaX+PGjdm5c2eBaX99XxIfH58S91dvb29WrVpVYNrXX39t0XpELKW8Fqa8iq3KvZrLziU76Ta2G03aNykwL75fPLuW7yLwpUAqV69MQGgAAaEBJLdOZtWoVXQb2w0AJ1cn/J/zx/85f3yf8WX287P5I/sPnKsW/AFEzUY1Sf0klauXruLgeO208uguy3+oUOfhOpw6cIoaDWoUOd/d6E728WzOnDiDm8e1X68f3nnY4vWI3CnqVwtTvyrWSFktTFkVa6SsFqasWo/bMrjerFkzXnjhBaZPn15gert27fjll1+YPHkyPXv2ZO3ataxZswZXV9cb1peYmMiPP/5IUFAQVatWJSkpiby8PBo3boyLiwuRkZFERESQl5fH448/zpkzZ0hOTsbV1ZX+/fsXWWdUVBS9e/cmKCiI9u3bs3btWj777DM2bdpUVpvhnlfcfjB06FBatWrF2LFj6d27N9u3b+edd95h5syZ5jJeXl5s2bKFPn364OjoSPXq1QvVHx8fT0BAQIGH2+Zr1aoV8fHxxMTEEBUVRc+ePalfvz7Hjh1j586d9OjRA4AhQ4bQuXNnjEYj2dnZbNy4EW9v7yI/z6BBgwgKCiIuLo6uXbuyYcMG1qxZU+LTpv+sNPtreHg4U6dOJSoqirCwMNLS0swP4xC5XZTXwpRXsVV7P99LzukcHu33KJVcKxWY93DXh/k64WvOZJ3B088TjyYeXL10lYzPM3A3ugOw8d2NuHq4UqdZHQx2Br757ze4urtSya1SoXW16NGC1eNWsyRiCR1e70D2sWw2vLMBwKK8PRn1JHNC51C1TlV8n/HFYGfg5+9+JmtfFl3e7IKxnZGaDWvy8T8+5pmYZ7h47iJJ45NuYSuJ3F7qVwtTvyrWSFktTFkVa6SsFqasWo8yvy1MvpiYGPOlCvm8vb2ZOXMm7777Lr6+vuzYscN88/4bqVKlCitWrOCJJ57A29ubWbNmsWjRIpo2bQrA2LFjGTlyJLGxsXh7e9OpUydWr15N/fr1i62ze/fuzJo1i8mTJ9OsWTM++OADli9fzuOPP35rH1wKKGo/8Pf3Z+nSpSxevJiHHnqIUaNGERMTw4ABAwosd/jwYRo2bEiNGoV/xXb58mUSEhLMB7G/6tGjBwsWLMDOzo7ffvuNF198EaPRSK9evejcuTNjxowBIDc3l9dee8283xiNxgIH4T8LDAxk1qxZxMXF4evry9q1a4mIiMDJycmibVLS/lq3bl2WL1/OypUr8fX1ZdasWUyYMMGidYjcDOW1MOVVbFFKQgqN2zYuNLAO4NvVl592/4Sdgx2JMYlMbjOZGU/PwGBvoH/8tR8kOFV2YsP0DUztMJW4DnH8/tPvvLLkFezsCp82Ork6MfDjgRxPP86UtlNIGp9Ex2EdAcy/ZC8N7w7eDFw0kP0b9xMXHMe0J6ex6b1NVKtz7ZdDdnZ2vPzRy1y5eIW44DgWv76Yp9586mY2j8gdo361MPWrYo2U1cKUVbFGymphyqp1MJj+ehP0IuzatYsWLVqQlpaGv7//nWiX1Vm4cCF9+/a9p7eBFDZw4ED27dvH1q1by7sp8j/KqhRHebUu+VkdunEonr6e5d0cKUOpn6Sy6P8tIvZwLBUrVSx5AbFqqZ+kkvBqgvpVKUT9qnXRObAUR1m1PsqrFEVZtT6lHQ/XE6JELPDWW28REhKCs7Mza9asYf78+cV+Eyki5Ut5FbkzdizeQXWv6rjVcuP4d8f5bPRn+D3rp4F1kbuM+lUR26CsitgGZfXuocF1EQvs2LGDyZMnc+7cORo0aMD06dMJCwsr72aJSBGUV5E749ypc6yJXcO5U+dwdXfFr5sfXf7dpbybJSJlTP2qiG1QVkVsg7J699DguogFli5dWt5NEJFSUl5F7owOgzvQYXCH8m6GiNxm6ldFbIOyKmIblNW7x217oKmIiIiIiIiIiIiIyN1Kg+siIiIiIiIiIiIiIhbS4LqIiIiIiIiIiIiIiIU0uC4iIiIiIiIiIiIiYiGLHmiamZl5u9ph9Q4dOgTc29tAxBYoqyK2IT+rJ78/Wc4tEZEb+e3ob4D6VRFrp3NgEduhvIrYhtJm1GAymUwlFTp69Cje3t7k5OTccsNsmb29Pbm5ueXdDBEpgbIqYhsMdgZMeSWehohIObOztyMvN6+8myEiJdA5sIjtUF5FbMN9991HZmYmdevWLbZMqQbX4doA+6+//lpmjbNFly5dwtHRsbybISIlUFZFbIOyKmIblFUR26CsitgO5VXENlSvXv2GA+tgweC6iIiIiIiIiIiIiIhcoweaioiIiIiIiIiIiIhYSIPrIiIiIiIiIiIiIiIW0uC6iIiIiIiIiIiIiIiFNLguIiIiIiIiIiIiImIhDa6LiIiIiIiIiIiIiFhIg+siIiIiIiIiIiIiIhbS4LqIiIiIiIiIiIiIiIU0uC4iIiIiIiIiIiIiYiENrouIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFtLguoiIiIiIiIiIiIiIhTS4LiIiIiIiIiIiIiJiIQ2ui4iIiIiIiIiIiIhYSIPrIiIiIiIiIiIiIiIW0uC6iIiIiIiIiIiIiIiFNLguIiIiIiIiIiIiImKh/w+BeJDB4dQmswAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query104: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) <= (shifts[1,0,0]), (shifts[0,0,1]) < (shifts[1,0,0]), (shifts[0,1,0]) < (shifts[1,0,0]), (shifts[0,1,1]) == (shifts[1,0,0]), (shifts[0,0,1]) == (shifts[1,0,0]), (shifts[0,2,0]) <= (shifts[1,0,0]), (shifts[0,2,1]) <= (shifts[1,0,0]), (shifts[0,0,0]) > (shifts[1,0,0]), (shifts[0,0,0]) < (shifts[1,0,0]), (shifts[0,2,0]) < (shifts[1,0,0]), (shifts[0,1,1]) < (shifts[1,0,0]), (shifts[0,2,1]) == (shifts[1,0,0]), (shifts[0,2,0]) == (shifts[1,0,0]), (shifts[0,0,1]) <= (shifts[1,0,0]), (shifts[0,1,0]) <= (shifts[1,0,0]), (shifts[0,1,0]) == (shifts[1,0,0]), (shifts[0,2,1]) < (shifts[1,0,0]), (shifts[0,0,0]) != (shifts[1,0,0])]\n",
      "Query105: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query106: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) < (shifts[1,0,1]), (shifts[0,1,0]) < (shifts[1,0,1]), (shifts[0,1,1]) == (shifts[1,0,1]), (shifts[0,1,1]) < (shifts[1,0,1]), (shifts[0,2,0]) == (shifts[1,0,1]), (shifts[0,1,0]) == (shifts[1,0,1]), (shifts[0,0,1]) < (shifts[1,0,1]), (shifts[0,0,0]) != (shifts[1,0,1]), (shifts[0,2,1]) < (shifts[1,0,1]), (shifts[0,1,1]) <= (shifts[1,0,1]), (shifts[0,2,0]) <= (shifts[1,0,1]), (shifts[0,0,1]) == (shifts[1,0,1]), (shifts[0,2,1]) <= (shifts[1,0,1]), (shifts[0,1,0]) <= (shifts[1,0,1]), (shifts[0,2,1]) == (shifts[1,0,1]), (shifts[0,0,0]) < (shifts[1,0,1]), (shifts[0,0,0]) > (shifts[1,0,1]), (shifts[0,0,1]) <= (shifts[1,0,1])]\n",
      "Query107: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query108: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) > (shifts[1,0,1])]\n",
      "Query109: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) < (shifts[1,0,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,0,1])]\n",
      "Size of CL:  16\n",
      "Size of B:  268\n",
      "Number of Queries:  110\n",
      "Query110: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query111: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) <= (shifts[0,2,1])]\n",
      "Query112: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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hQVktB2V1j2n9rWa1sK4/Pjp06FCu93+vU1bLT3ndY1p/q3lt1KhRiXktbEtKp6yWX2VnddOmTSXu5wMHDiz1NR999FFBp06dCurWrVtQrVq1goYNGxYMGjSo4OjRo6YyHTp0KHjzzTeLvK5nz55F6gUKPv/8c9Pz/81yofDw8IL777+/zOxt2rSpwNfXt6BatWoFTZo0uelnZrlBWS0/ZfVz0/PbyWpJ76FRo0Zlvn9RXstLWf3c9PxWs9qhQ4cKvwe5obxzwYaCgoKCW5mUv9fs3r2bNm3akJaWhp+fX2V3557y6aefEhERwX/+8x+qVatW2d0RC7do0SJCQ0OV1UqgrEpFKKuVS3mV8lJWK5eyKuWlrFYuZVUqQnmtPMqqVER554J1WRixWLm5uWRnZzNp0iRee+01HfhELJSyKmI9lFcR66CsilgHZVXEOiircifphqZisaZMmUKLFi1wd3dn1KhRld0dESmFsipiPZRXEeugrIpYB2VVxDooq3InaXJdLNbYsWO5evUqGzZs0M3GRCyYsipiPZRXEeugrIpYB2VVxDooq3InaXJdRERERERERERERKSCNLkuIiIiIiIiIiIiIlJBmlwXEREREREREREREakgu/IWPH78OD///POd7ItFy8zMBCApKcn0bxGxPMnJyYCyKmLplFUR66CsilgHZVXEeiivItbhyJEj5SpnKCgoKCir0PHjx/Hy8iI3N/e2O2bNDDYGCvLL3FwiUslsbGzIz8+v7G6ISBmUVRHroKyKWAf9vSpiPTS2ilgHW1tbtm3bRrt27UotU65frv/888/k5uaSkJCAl5eX2TpoTZKSkhg9ejShc0JxM7pVdndEpBQZX2WwdsLae/p4JWINCsdVZVXEsimrItZBf6+KWA/9zSpiHTIzMwkNDcXBweGm5cp9WRgALy8v/Pz8bqtj1qrwVB03oxsePh6V3BsRKc3p708D9/bxSsQaFI6ryqqIZVNWRayD/l4VsR76m1WkatENTUVEREREREREREREKkiT6yIiIiIiIiIiIiIiFaTJdRERERERERERERGRCtLkulR5Q2sPZd+afZXdDcCy+iJSlWzevBmDwcDZs2cruysW1RcRS2NJ+bCkvohYGkvKhyX1ReROsaS/Ey2pLyJVhSWNZZbUl6rCLJPrgwYNwmAwMGnSpCLLV61ahcFgMEcTZrdy5Uqeeuop7r//fgwGA3v37q3sLglwZOcRIupE8FG/j8xWZ0xmDN5B3marT6QqMOdx29PTk+nTp5e7fGxsLLa2tkydOrVC7dzM448/TnZ2Nq6urmarU8QSKKsi1kFZFbl36G9WkTtP46pYE7P9ct3R0ZHJkyeTk5NjrioBuHLlilnrK/Tbb7/xxBNPMHny5DtSv9yalIQU2g9uz6EdhziXfc4sdbq4uWDnYGeWukSqkjt13C7LvHnzGDFiBPPmzTNbndWqVcPd3d1iv9AVuR3Kqoh1UFZF7g36m1Xk7tC4KtbCbJPrQUFBuLu7ExsbW2qZsWPH4uvrW2TZ9OnT8fT0ND0fNGgQzz33HBMmTKB+/fo0b94cgFmzZtGsWTMcHR1xc3OjT58+ptfk5+cTGxtL48aNqV69Oj4+Pixfvvym/R0wYABjxowhKCio4m9W7ojLFy+zZ9UeAl4JwDvYm52Ld5rW5Z7N5dNXP+XtZm8TVT+K8W3Hk7IoBYBrV66xfMRyxniNIbJeJO88/A7r/7He9No/ntZ2JOUIUwKnEFkvkmlPTmPfmn0MrT2UE+knADj49UGG1h7K91u+Z9qT04h6MIrpXaZz+uDpIv1NT0rn3Y7vElkvknGtx7Fu8jryruWZ1v906CdmdJ9BZL1IYh+LJWtT1h3ZbiK3qjzHbYAVK1bQsmVLHBwc8PT0ZNq0aaZ1HTt25NixY0RERGAwGMr8sLBlyxYuXbpETEwM58+fZ/v27UXWf/vtt3Tq1AlnZ2dcXFxo06YNqampABw7dowePXpQq1YtnJycaNmyJUlJSUDJp7bNnTsXDw8P7rvvPnr16kVcXBw1a9Y0rS8ckz799FM8PT1xdXWlf//+XLhwwVSmPONLUlISRqOR6tWr06lTJ44ePXrTbSBSUcqqsirWQVlVVqXq09+sInePxlWNq9bCbF+N2traMnHiRP785z8zZMgQGjRocMt1bdiwARcXF9avvz7YpKamMmTIED799FMef/xxfv31V7Zt22YqHxsbS0JCArNnz6ZZs2Zs3bqV0NBQ6tatS4cOHW77vcndsWfVHh5o9gBuzdxo27ctn7/1OUERQRgMBpImJnEq6xSvLXsNp/ud+Pnwz1z9/SoAW+ds5bu13zFw3kBqNajF2ZNnyTlZ8jebv5//nbl/not3sDcvffQSv/74K5+//XmJZdeMX0PPcT2pcX8Nlg1fxpI3lvDmujcBOLTjEIv+sojnJz1Pk3ZN+OXILyyNWApA1791JT8/n3kvzcP5AWci1kfw+/nf+fytktsRqSzlOW6npaXRt29fxo4dS79+/di+fTt//etfuf/++xk0aBArV67Ex8eHV199lcGDB5fZZnx8PCEhIdjb2xMSEkJ8fDyPP/64af2LL75I69at+fDDD7G1tWXv3r3Y29sD8Prrr3PlyhW2bt2Kk5MTGRkZ1KhRo8R2kpOTCQ8PZ/LkyTz77LN89dVXjB49uli5Q4cOsWrVKhITE8nJyaFv375MmjSJCRMmAGWPLz/++CPPP/88r7/+Oq+++iqpqakMHz68XNtfpLyUVWVVrIOyqqxK1ae/WUXuHo2rGlethVnPO+rVqxe+vr5ER0cTHx9/y/U4OTnx8ccfU61aNeD69dGdnJx45plncHZ2plGjRrRu3RqAy5cvM3HiRL766ivatWsHQJMmTfj666+ZM2eOJtetSEpCCm1faAtAi84tuHT+Ej8k/0CzJ5qRcyKHB1s9SMPWDQG4v+H9ptflnMyhbtO6NHmsCQaDgdoetUttI21FGgaDgX7T+2HvaI97C3fOZZ9j6dClxcp2/3t3Hgp4CICgoUF81O8jrv5+FXtHe76c8iWdh3bGP8QfgDqedXj6radZPXY1Xf/Wle83f8/pg6cJXx6Oaz1XU31z+s4xz8YSMZOyjttxcXF07tzZNNAbjUYyMjKYOnUqgwYNonbt2tja2uLs7Iy7u/tN2zp//jzLly9nx44dAISGhtK+fXvee+8904eO48ePExUVRYsWLQBo1qyZ6fXHjx+nd+/etGrVCrh+rC/NzJkz6datG5GRkaZ+b9++ncTExCLl8vPzmT9/Ps7OzsD1s5o2bNjAhAkTyjW+fPjhhzRt2tT064jmzZuTnp6uS46J2SmryqpYB2VVWZWqTX+zitxdGlc1rloDs10WptDkyZNZsGABmZmZt1xHq1atTBPrAMHBwTRq1IgmTZowYMAAFi1aRG5uLgA//PADubm5BAcHU6NGDdNj4cKFHDp06Lbfj9wdpw+e5tjuY/j19gPA1s6W1r1ak5Jw/TS6gJcD2PP5HqYETmF19GqOpBwxvdY/xJ+T6SeZ6D+RFSNXcGDjgVLbOXPwDPVb1sfe0d60rFGbRiWWrd+yvunfLm4uAFz8+SIAJ787yb+n/psRHiNMj6VDl3L+1Hmu5F7h9PenqfVgLdOHFABPf88KbhWRu+Nmx+3MzEwCAgKKLAsICODgwYPk5eUVK38zixcvpmnTpvj4+ADg6+tLo0aNWLr0xh8Kw4YNIywsjKCgICZNmlTkOD5kyBDGjx9PQEAA0dHR7Nu3r1gbhbKysvD39y+y7I/P4frNbQo/qADUq1ePM2fOAOUbXzIzM3n00UeL1Fn4wUbE3JRVZVWsg7KqrErVpL9ZRSqHxlWNq5bO7JPrgYGBdOnShVGjRhVvzMaGgoKCIsuuXr1arJyTk1OR587OzuzevZvFixdTr149xowZg4+PD2fPnuXixesDx5o1a9i7d6/pkZGRUeZ118VypCSkkH8tn2jvaIbVHcawusNInpfMt198y6Xzl/AO9ib622g6/qUj506dY1avWfxr9L8A8PDxYMyeMXQb1Y2rl64y/5X5fDLwk9vuk439/8Tjv5flys/PB+DKb1foOrIrUVuiTI8RX4/g7dS3sXPUjWjEutzsuG1O8fHx7N+/Hzs7O9MjIyOjyI1ixo4dy/79++nevTsbN27E29ubzz+/fnpqWFgYhw8fZsCAAaSnp9O2bVtmzpx5W30qPIWvkMFgMOVc44tYGmX1BmVVLJmyeoOyKlWJ/mYVqRwaV2/QuGqZ7sgRddKkSfj6+ppuRlqobt26nDp1ioKCAtNNBPbu3VuuOu3s7AgKCiIoKIjo6Ghq1qzJxo0bCQ4OxsHBgePHj+sSMFYq71oeu5buoue4nrTo1KLIuvgB8exesZuAlwOoUacG/iH++If4k9wumdVjVtNzXE8AHF0c8XveD7/n/fB51oc5L8zht5zfcKpV9IuaB5o9QOo/U7l2+ZrpbuzHdx+vcJ8bPNyAMwfPULdJ3RLXuxndyDmZw7lT53B1v/5LgKO7jla4HZG7pbTjtpeXF8nJyUWWJScnYzQasbW1Ba7f+bysXwWkp6eTmprK5s2bqV37xmmwv/76Kx07duTAgQOmU+uMRiNGo5GIiAhCQkL45JNP6NWrFwAeHh6Eh4cTHh7OqFGjmDt3Lm+88Uax9po3b86uXbuKLPvj87J4e3uXOb54eXmxevXqIsu++eabCrUjUhHKanHKqlgiZbU4ZVWsmf5mFalcGleL07hqOe7I5HqrVq148cUXmTFjRpHlHTt25KeffmLKlCn06dOHdevWsXbtWlxcXG5aX2JiIocPHyYwMJBatWqRlJREfn4+zZs3x9nZmcjISCIiIsjPz+eJJ57g3LlzJCcn4+LiwsCBA0us89dff+X48eP85z//Aa6fkgHg7u5e5nWYxLz2f7mf3LO5PDbgMaq7VC+y7uEeD/NNwjecyz6Hh68H7i3cuXb5GhlfZuBmdANg0webcHF3oUGrBhhsDHz7r29xcXOhumv1Ym216d2GNePXsDRiKZ3f7EzOiRw2vr8RoMy7Rv+vp6KeYm7IXGo1qIXPsz4YbAz857v/kH0gm+5vd8fY0cgDTR/gs79+xrMxz/L7hd9JmpB0G1tJ5M4q7bg9fPhwHnnkEcaNG0e/fv3YsWMH77//PrNmzTKV8fT0ZOvWrfTv3x8HBwfq1KlTrP74+Hj8/f0JDAwstu6RRx4hPj6emJgYoqKi6NOnD40bN+bEiRPs2rWL3r17AzB06FC6deuG0WgkJyeHTZs24eXlVeL7eeONNwgMDCQuLo4ePXqwceNG1q5dW6Gcl2d8CQ8PZ9q0aURFRREWFkZaWhrz588vdxsiFaWsFqesiiVSVotTVsWa6W9WkcqlcbU4jauWw+yXhSkUExNjOlWhkJeXF7NmzeKDDz7Ax8eHnTt3mi7efzM1a9Zk5cqVPPnkk3h5eTF79mwWL15My5YtARg3bhyjR48mNjYWLy8vunbtypo1a2jcuHGpda5evZrWrVvTvXt3APr370/r1q2ZPXv2bbxruRUpCSk079C82IcUAJ8ePvy450ds7GxIjElkSvspzHxmJgZbAwPjr39x4ljDkY0zNjKt8zTiOsfx64+/8urSV7GxKb57O7o4MvizwZxMP8nUDlNJmpBElxFdAEy/CigPr85eDF48mKxNWcQFxTH9qels/nAztRtc/4bTxsaGVz59hau/XyUuKI4lby7h6befvpXNI3LXlHTc9vPzY9myZSxZsoQ//elPjBkzhpiYGAYNGlTkdUePHqVp06bUrVv8lzFXrlwhISHB9KHjj3r37s3ChQuxsbHhl19+4aWXXsJoNNK3b1+6devGO++8A0BeXh6vv/666ThvNBqLfGj6XwEBAcyePZu4uDh8fHxYt24dERERODo6VmiblDW+NGzYkBUrVrBq1Sp8fHyYPXs2EydOrFAbIhWlrBanrIolUlaLU1bFWulvVpHKp3G1OI2rlsFQ8MeLoJdg9+7dtGnThrS0NPz8/O5GvyzOokWLCA0NZfim4Xj4eFR2d8SMUv+ZyuL/t5jYo7FUq16t7BeIRUv9ZyoJryXc08crKdngwYM5cOAA27Ztq+yuCDfGVWVV/khZtSzKqpRGWbUs+nu1atPfrFWL/maVkmhctTzlnQ/XXSzknrNzyU7qeNbBtZ4rJ787yRdjv8D3OV99SBGpYt59912Cg4NxcnJi7dq1LFiwoNRfDohI5VFWRayDsipy9+hvVpGqT+Nq1aHJdbnnXDhzgbWxa7lw5gIubi749vSl+9+7V3a3RMTMdu7cyZQpU7hw4QJNmjRhxowZhIWFVXa3ROQPlFUR66Csitw9+ptVpOrTuFp1aHJd7jmdh3Sm85DOld0NEbnDli1bVtldEJFyUFZFrIOyKnL36G9WkapP42rVccduaCoiIiIiIiIiIiIiUlVpcl1EREREREREREREpII0uS4iIiIiIiIiIiIiUkGaXBcRERERERERERERqaAK3dA0KSmJzMzMO9UXi5acnAxAxlcZnP7+dCX3RkRKczjlMHBvH69ErEHhuKqsilg2ZVXEOujvVRHrob9ZRazDkSNHylXOUFBQUFBWoR07dtC+fXvy8vJuu2PWzMbGhvz8/MruhoiUwWBjoCC/zEObiFQyjasi1kFZFbEOyqqI9VBeRayDra0t27Zto127dqWWKdcv1x0cHMjLyyMhIQEvLy+zddCaJCUlMXr06Ht6G4hYg8Kshs4Jxc3oVtndEZFSZHyVwdoJazWuilg4fQYWsQ7Kqoj1UF5FrENmZiahoaE4ODjctFyFLgvj5eWFn5/fbXXMWhWeqnMvbwMRa1CYVTejGx4+HpXcGxEpTeEp6xpXRSybPgOLWAdlVcR6KK8iVYtuaCoiIiIiIiIiIiIiUkGaXBcRERERERERERERqSBNrouIiIiIiIiIiIiIVJAm10VKsXnzZgwGA2fPnq3srlhUX0TulKG1h7Jvzb7K7gZgWX0RqUosaTyzpL6IWBpLyocl9UXE0lhSPiypLyKWxpLyYUl9qSrMMrk+aNAgDAYDkyZNKrJ81apVGAwGczRhVlevXuVvf/sbrVq1wsnJifr16/PSSy/xn//8p7K7ZtXMuR94enoyffr0cpePjY3F1taWqVOnVqidm3n88cfJzs7G1dXVbHWKVBVHdh4hok4EH/X7yGx1xmTG4B3kbbb6RKoCja0i1kFZFbEOyqqIdVBWxZqY7Zfrjo6OTJ48mZycHHNVCcCVK1fMWh9Abm4uu3fvZvTo0ezevZuVK1eSlZXFs88+a/a27jV3aj8oy7x58xgxYgTz5s0zW53VqlXD3d3dIr8gEqlsKQkptB/cnkM7DnEu+5xZ6nRxc8HOwc4sdYlUJRpbRayDsipiHZRVEeugrIq1MNvkelBQEO7u7sTGxpZaZuzYsfj6+hZZNn36dDw9PU3PBw0axHPPPceECROoX78+zZs3B2DWrFk0a9YMR0dH3Nzc6NOnj+k1+fn5xMbG0rhxY6pXr46Pjw/Lly8vtR+urq6sX7+evn370rx5cx577DHef/990tLSOH78+K1tAAHKtx8ArFixgpYtW+Lg4ICnpyfTpk0zrevYsSPHjh0jIiICg8FQ5sFny5YtXLp0iZiYGM6fP8/27duLrP/222/p1KkTzs7OuLi40KZNG1JTUwE4duwYPXr0oFatWjg5OdGyZUuSkpKAkk+VmTt3Lh4eHtx333306tWLuLg4atasaVpfuI9/+umneHp64urqSv/+/blw4YKpTHn216SkJIxGI9WrV6dTp04cPXr0pttA5G66fPEye1btIeCVALyDvdm5eKdpXe7ZXD599VPebvY2UfWjGN92PCmLUgC4duUay0csZ4zXGCLrRfLOw++w/h/rTa/946VYjqQcYUrgFCLrRTLtyWnsW7OPobWHciL9BAAHvz7I0NpD+X7L90x7chpRD0Yxvct0Th88XaS/6UnpvNvxXSLrRTKu9TjWTV5H3rU80/qfDv3EjO4ziKwXSexjsWRtyroj203kVmls1dgq1kFZVVbFOiiryqpYB2VVWbUWZptct7W1ZeLEicycOZMTJ07cVl0bNmwgKyuL9evXk5iYSGpqKkOGDCEmJoasrCzWrVtHYGCgqXxsbCwLFy5k9uzZ7N+/n4iICEJDQ9myZUu52zx37hwGg6HIjiwVV579IC0tjb59+9K/f3/S09MZO3Yso0ePZv78+QCsXLmSBg0aEBMTQ3Z2NtnZ2TdtMz4+npCQEOzt7QkJCSE+Pr7I+hdffJEGDRqwa9cu0tLSGDlyJPb29gC8/vrrXL58ma1bt5Kens7kyZOpUaNGie0kJycTHh7Om2++yd69ewkODmbChAnFyh06dIhVq1aRmJhIYmIiW7ZsKXIqU1n7648//sjzzz9Pjx492Lt3L2FhYYwcOfKm20Dkbtqzag8PNHsAt2ZutO3blpRFKRQUFACQNDGJU1mneG3Za4z8ZiQvvPsCTvc7AbB1zla+W/sdA+cN5K2dbzHgowHUbli7xDZ+P/87c/88l/re9YncFEm3Ud344p0vSiy7Zvwaeo7ryfANw7Gxs2HJG0tM6w7tOMSivywi8LVARu4YSd+4vuxcvJP1065P6ufn5zPvpXnYVbMjYn0EfeP6ltqOSGXR2KqxVayDsqqsinVQVpVVsQ7KqrJqLcx6/n2vXr3w9fUlOjq62A5YEU5OTnz88cdUq1YNuB4GJycnnnnmGZydnWnUqBGtW7cG4PLly0ycOJGvvvqKdu3aAdCkSRO+/vpr5syZQ4cOHcps7/fff+dvf/sbISEhuLi43HK/5bqy9oO4uDg6d+7M6NGjATAajWRkZDB16lQGDRpE7dq1sbW1xdnZGXd395u2df78eZYvX86OHTsACA0NpX379rz33numg9jx48eJioqiRYsWADRr1sz0+uPHj9O7d29atWoFXN93SjNz5ky6detGZGSkqd/bt28nMTGxSLn8/Hzmz5+Ps7MzAAMGDGDDhg1MmDChXPvrhx9+SNOmTU3ftjZv3tx0YBaxBCkJKbR9oS0ALTq34NL5S/yQ/APNnmhGzokcHmz1IA1bNwTg/ob3m16XczKHuk3r0uSxJhgMBmp7lDyxDpC2Ig2DwUC/6f2wd7THvYU757LPsXTo0mJlu/+9Ow8FPARA0NAgPur3EVd/v4q9oz1fTvmSzkM74x/iD0Adzzo8/dbTrB67mq5/68r3m7/n9MHThC8Px7Weq6m+OX3nmGdjiZiJxlaNrWIdlFVlVayDsqqsinVQVpVVa2C2X64Xmjx5MgsWLCAzM/OW62jVqpVpYh0gODiYRo0a0aRJEwYMGMCiRYvIzc0F4IcffiA3N5fg4GBq1KhheixcuJBDhw6V2dbVq1fp27cvBQUFfPjhh7fcZynqZvtBZmYmAQEBRZYFBARw8OBB8vLyipW/mcWLF9O0aVN8fHwA8PX1pVGjRixdemMCbtiwYYSFhREUFMSkSZOK7BdDhgxh/PjxBAQEEB0dzb59+4q1USgrKwt/f/8iy/74HK7fLKPwwAdQr149zpw5A5Rvf83MzOTRRx8tUmfhgVKksp0+eJpju4/h19sPAFs7W1r3ak1KwvVLvwS8HMCez/cwJXAKq6NXcyTliOm1/iH+nEw/yUT/iawYuYIDGw+U2s6Zg2eo37I+9o72pmWN2jQqsWz9lvVN/3Zxu/4F6cWfLwJw8ruT/HvqvxnhMcL0WDp0KedPnedK7hVOf3+aWg/WMk2sA3j6e1Zwq4jcHRpbNbaKdVBWlVWxDsqqsirWQVlVVi2d2SfXAwMD6dKlC6NGjSremI2N6dIBha5evVqsnJOTU5Hnzs7O7N69m8WLF1OvXj3GjBmDj48PZ8+e5eLF6xMoa9asYe/evaZHRkbGTa+7Xth23759OXbsGOvXr9ev1s3oZvuBOcXHx7N//37s7OxMj4yMjCI3nhg7diz79++ne/fubNy4EW9vbz7//HMAwsLCOHz4MAMGDCA9PZ22bdsyc+bM2+pT4SlBhQwGA/n5+QC3tb+KWIKUhBTyr+UT7R3NsLrDGFZ3GMnzkvn2i2+5dP4S3sHeRH8bTce/dOTcqXPM6jWLf43+FwAePh6M2TOGbqO6cfXSVea/Mp9PBn5y232ysf+foey/l9ArzNyV367QdWRXorZEmR4jvh7B26lvY+eom6eKddHYeoPGVrFkyuoNyqpYMmX1BmVVLJmyeoOyapnuyMzCpEmT8PX1Nd2MtFDdunU5deoUBQUFppsI7N27t1x12tnZERQURFBQENHR0dSsWZONGzcSHByMg4MDx48fL9clYAoVTqwfPHiQTZs2cf/995f9IqmQ0vYDLy8vkpOTiyxLTk7GaDRia2sLXL+TclnfMqanp5OamsrmzZupXfvG5SV+/fVXOnbsyIEDB0yn6hiNRoxGIxEREYSEhPDJJ5/Qq1cvADw8PAgPDyc8PJxRo0Yxd+5c3njjjWLtNW/enF27dhVZ9sfnZfH29i5zf/Xy8mL16tVFln3zzTcVakfkTsi7lseupbvoOa4nLTq1KLIufkA8u1fsJuDlAGrUqYF/iD/+If4kt0tm9ZjV9BzXEwBHF0f8nvfD73k/fJ71Yc4Lc/gt5zecahX9UvWBZg+Q+s9Url2+hp3D9aHq+O6K33C6wcMNOHPwDHWb1C1xvZvRjZyTOZw7dQ5X9+u/Xj+662iF2xG5WzS2FqexVSyRslqcsiqWSFktTlkVS6SsFqesWo47MrneqlUrXnzxRWbMmFFkeceOHfnpp5+YMmUKffr0Yd26daxdu7bMX4wnJiZy+PBhAgMDqVWrFklJSeTn59O8eXOcnZ2JjIwkIiKC/Px8nnjiCc6dO0dycjIuLi4MHDiwWH1Xr16lT58+7N69m8TERPLy8jh16hQAtWvXLnJJGrl1pe0Hw4cP55FHHmHcuHH069ePHTt28P777zNr1ixTGU9PT7Zu3Ur//v1xcHCgTp06xeqPj4/H39+/yM1tCz3yyCPEx8cTExNDVFQUffr0oXHjxpw4cYJdu3bRu3dvAIYOHUq3bt0wGo3k5OSwadMmvLy8Snw/b7zxBoGBgcTFxdGjRw82btzI2rVry7zb9P8qz/4aHh7OtGnTiIqKIiwsjLS0NNPNOEQq0/4v95N7NpfHBjxGdZfqRdY93ONhvkn4hnPZ5/Dw9cC9hTvXLl8j48sM3IxuAGz6YBMu7i40aNUAg42Bb//1LS5uLlR3rV6srTa927Bm/BqWRiyl85udyTmRw8b3NwJUKHNPRT3F3JC51GpQC59nfTDYGPjPd/8h+0A23d/ujrGjkQeaPsBnf/2MZ2Oe5fcLv5M0Iek2tpLInaWxtTiNrWKJlNXilFWxRMpqccqqWCJltThl1XKY/bIwhWJiYkynKhTy8vJi1qxZfPDBB/j4+LBz507TxftvpmbNmqxcuZInn3wSLy8vZs+ezeLFi2nZsiUA48aNY/To0cTGxuLl5UXXrl1Zs2YNjRs3LrG+kydPsnr1ak6cOIGvry/16tUzPbZv3377b15MStoP/Pz8WLZsGUuWLOFPf/oTY8aMISYmhkGDBhV53dGjR2natCl16xb/xemVK1dISEgwHcT+qHfv3ixcuBAbGxt++eUXXnrpJYxGI3379qVbt2688847AOTl5fH666+b9huj0VjkIPy/AgICmD17NnFxcfj4+LBu3ToiIiJwdHSs0DYpa39t2LAhK1asYNWqVfj4+DB79mwmTpxYoTZE7oSUhBSad2hebGIdwKeHDz/u+REbOxsSYxKZ0n4KM5+ZicHWwMD4619yOtZwZOOMjUzrPI24znH8+uOvvLr0VWxsig9Fji6ODP5sMCfTTzK1w1SSJiTRZUQXANMv2cvDq7MXgxcPJmtTFnFBcUx/ajqbP9xM7QbXf41gY2PDK5++wtXfrxIXFMeSN5fw9NtP38rmEblrNLYWp7FVLJGyWpyyKpZIWS1OWRVLpKwWp6xaBkPBHy+CXoLdu3fTpk0b0tLS8PPzuxv9sjiLFi0iNDT0nt4GUtzgwYM5cOAA27Ztq+yuyH8VZnX4puF4+HhUdnfEjFL/mcri/7eY2KOxVKuuM4ysXeo/U0l4LUHjqhSjsdWy6DOwlEZZtSzKqpRGWbU8yquURFm1POWdD9fd3EQq4N133yU4OBgnJyfWrl3LggULSv0mUkRuz84lO6njWQfXeq6c/O4kX4z9At/nfDWxLlLFaGwVsQ7Kqoh1UFZFrIOyWnVocl2kAnbu3MmUKVO4cOECTZo0YcaMGYSFhVV2t0SqpAtnLrA2di0XzlzAxc0F356+dP9798ruloiYmcZWEeugrIpYB2VVxDooq1WHJtdFKmDZsmWV3QWRe0bnIZ3pPKRzZXdDRO4wja0i1kFZFbEOyqqIdVBWq447dkNTEREREREREREREZGqSpPrIiIiIiIiIiIiIiIVpMl1EREREREREREREZEKqtA115OSksjMzLxTfbFoycnJwL29DUSsQWFWM77K4PT3pyu5NyJSmsMphwGNqyKWTp+BRayDsipiPZRXEetw5MiRcpUzFBQUFJRVaMeOHbRv3568vLzb7pg1s7GxIT8/v7K7ISJlMNgYKMgv89AmIpVM46qIdVBWRayDsipiPZRXEetga2vLtm3baNeuXallyvXLdQcHB/Ly8khISMDLy8tsHbQmSUlJjB49+p7eBiLWoDCroXNCcTO6VXZ3RKQUGV9lsHbCWo2rIhZOn4FFrIOyKmI9lFcR65CZmUloaCgODg43LVehy8J4eXnh5+d3Wx2zVoWn6tzL20DEGhRm1c3ohoePRyX3RkRKU3jZJo2rIpZNn4FFrIOyKmI9lFeRqkU3NBURERERERERERERqSBNrouIiIiIiIiIiIiIVJAm10VEREREREREREREKkiT6yKl2Lx5MwaDgbNnz1Z2VyyqLyJ3ytDaQ9m3Zl9ldwOwrL6IVCWWNJ5ZUl9ELI0l5cOS+iJiaSwpH5bUFxFLY0n5sKS+VBVmmVwfNGgQBoOBSZMmFVm+atUqDAaDOZowu7Fjx9KiRQucnJyoVasWQUFBpKSkVHa3rJo59wNPT0+mT59e7vKxsbHY2toyderUCrVzM48//jjZ2dm4urqarU6RquLIziNE1Ingo34fma3OmMwYvIO8zVafSFWgsVXEOiirItZBWRWxDsqqWBOz/XLd0dGRyZMnk5OTY64qAbhy5YpZ6ytkNBp5//33SU9P5+uvv8bT05OnnnqKn3766Y60d6+4U/tBWebNm8eIESOYN2+e2eqsVq0a7u7uFvsFkUhlSklIof3g9hzacYhz2efMUqeLmwt2DnZmqUukKtHYKmIdlFUR66CsilgHZVWshdkm14OCgnB3dyc2NrbUMmPHjsXX17fIsunTp+Pp6Wl6PmjQIJ577jkmTJhA/fr1ad68OQCzZs2iWbNmODo64ubmRp8+fUyvyc/PJzY2lsaNG1O9enV8fHxYvnz5Tfv75z//maCgIJo0aULLli2Ji4vj/Pnz7NunywDcjvLsBwArVqygZcuWODg44OnpybRp00zrOnbsyLFjx4iIiMBgMJR58NmyZQuXLl0iJiaG8+fPs3379iLrv/32Wzp16oSzszMuLi60adOG1NRUAI4dO0aPHj2oVasWTk5OtGzZkqSkJKDkU2Xmzp2Lh4cH9913H7169SIuLo6aNWua1hfu459++imenp64urrSv39/Lly4YCpTnv01KSkJo9FI9erV6dSpE0ePHr3pNhC5my5fvMyeVXsIeCUA72Bvdi7eaVqXezaXT1/9lLebvU1U/SjGtx1PyqLrZwVdu3KN5SOWM8ZrDJH1Innn4XdY/4/1ptf+8VIsR1KOMCVwCpH1Ipn25DT2rdnH0NpDOZF+AoCDXx9kaO2hfL/le6Y9OY2oB6OY3mU6pw+eLtLf9KR03u34LpH1IhnXehzrJq8j71qeaf1Ph35iRvcZRNaLJPaxWLI2Zd2R7SZyqzS2amwV66CsKqtiHZRVZVWsg7KqrFoLs02u29raMnHiRGbOnMmJEyduq64NGzaQlZXF+vXrSUxMJDU1lSFDhhATE0NWVhbr1q0jMDDQVD42NpaFCxcye/Zs9u/fT0REBKGhoWzZsqVc7V25coWPPvoIV1dXfHx8bqvv97ry7AdpaWn07duX/v37k56eztixYxk9ejTz588HYOXKlTRo0ICYmBiys7PJzs6+aZvx8fGEhIRgb29PSEgI8fHxRda/+OKLNGjQgF27dpGWlsbIkSOxt7cH4PXXX+fy5cts3bqV9PR0Jk+eTI0aNUpsJzk5mfDwcN5880327t1LcHAwEyZMKFbu0KFDrFq1isTERBITE9myZUuRU5nK2l9//PFHnn/+eXr06MHevXsJCwtj5MiRN90GInfTnlV7eKDZA7g1c6Nt37akLEqhoKAAgKSJSZzKOsVry15j5DcjeeHdF3C63wmArXO28t3a7xg4byBv7XyLAR8NoHbD2iW28fv535n757nU965P5KZIuo3qxhfvfFFi2TXj19BzXE+GbxiOjZ0NS95YYlp3aMchFv1lEYGvBTJyx0j6xvVl5+KdrJ92fVI/Pz+feS/Nw66aHRHrI+gb17fUdkQqi8ZWja1iHZRVZVWsg7KqrIp1UFaVVWth1vPve/Xqha+vL9HR0cV2wIpwcnLi448/plq1asD1MDg5OfHMM8/g7OxMo0aNaN26NQCXL19m4sSJfPXVV7Rr1w6AJk2a8PXXXzNnzhw6dOhQajuJiYn079+f3Nxc6tWrx/r166lTp84t91uuK2s/iIuLo3PnzowePRq4fomejIwMpk6dyqBBg6hduza2trY4Ozvj7u5+07bOnz/P8uXL2bFjBwChoaG0b9+e9957z3QQO378OFFRUbRo0QKAZs2amV5//PhxevfuTatWrYDr+05pZs6cSbdu3YiMjDT1e/v27SQmJhYpl5+fz/z583F2dgZgwIABbNiwgQkTJpRrf/3www9p2rSp6dvW5s2bmw7MIpYgJSGFti+0BaBF5xZcOn+JH5J/oNkTzcg5kcODrR6kYeuGANzf8H7T63JO5lC3aV2aPNYEg8FAbY+SJ9YB0lakYTAY6De9H/aO9ri3cOdc9jmWDl1arGz3v3fnoYCHAAgaGsRH/T7i6u9XsXe058spX9J5aGf8Q/wBqONZh6ffeprVY1fT9W9d+X7z95w+eJrw5eG41nM11Ten7xzzbCwRM9HYqrFVrIOyqqyKdVBWlVWxDsqqsmoNzPbL9UKTJ09mwYIFZGZm3nIdrVq1Mk2sAwQHB9OoUSOaNGnCgAEDWLRoEbm5uQD88MMP5ObmEhwcTI0aNUyPhQsXcujQoZu206lTJ/bu3cv27dvp2rUrffv25cyZM7fcb7nhZvtBZmYmAQEBRZYFBARw8OBB8vLyipW/mcWLF9O0aVPTGQe+vr40atSIpUtvTMANGzaMsLAwgoKCmDRpUpH9YsiQIYwfP56AgACio6NvelmgrKws/P39iyz743O4frOMwgMfQL169Uz7VXn218zMTB599NEidRYeKEUq2+mDpzm2+xh+vf0AsLWzpXWv1qQkXL/0S8DLAez5fA9TAqewOno1R1KOmF7rH+LPyfSTTPSfyIqRKziw8UCp7Zw5eIb6Letj72hvWtaoTaMSy9ZvWd/0bxc3FwAu/nwRgJPfneTfU//NCI8RpsfSoUs5f+o8V3KvcPr709R6sJZpYh3A09+zgltF5O7Q2KqxVayDsqqsinVQVpVVsQ7KqrJq6cw+uR4YGEiXLl0YNWpU8cZsbEyXDih09erVYuWcnJyKPHd2dmb37t0sXryYevXqMWbMGHx8fDh79iwXL16fQFmzZg179+41PTIyMsq87rqTkxMPPfQQjz32GPHx8djZ2d3WL+7lhpvtB+YUHx/P/v37sbOzMz0yMjKK3Hhi7Nix7N+/n+7du7Nx40a8vb35/PPPAQgLC+Pw4cMMGDCA9PR02rZty8yZM2+rT4WnBBUyGAzk5+cD3Nb+KmIJUhJSyL+WT7R3NMPqDmNY3WEkz0vm2y++5dL5S3gHexP9bTQd/9KRc6fOMavXLP41+l8AePh4MGbPGLqN6sbVS1eZ/8p8Phn4yW33ycb+f4ay/15CrzBzV367QteRXYnaEmV6jPh6BG+nvo2do26eKtZFY+sNGlvFkimrNyirYsmU1RuUVbFkyuoNyqpluiMzC5MmTcLX19d0M9JCdevW5dSpUxQUFJhuIrB3795y1WlnZ0dQUBBBQUFER0dTs2ZNNm7cSHBwMA4ODhw/fvyml4Apj/z8fC5fvnxbdcgNpe0HXl5eJCcnF1mWnJyM0WjE1tYWuH4n5bK+ZUxPTyc1NZXNmzdTu/aNy0v8+uuvdOzYkQMHDphO1TEajRiNRiIiIggJCeGTTz6hV69eAHh4eBAeHk54eDijRo1i7ty5vPHGG8Xaa968Obt27Sqy7I/Py+Lt7V3m/url5cXq1auLLPvmm28q1I7InZB3LY9dS3fRc1xPWnRqUWRd/IB4dq/YTcDLAdSoUwP/EH/8Q/xJbpfM6jGr6TmuJwCOLo74Pe+H3/N++Dzrw5wX5vBbzm841Sr6peoDzR4g9Z+pXLt8DTuH60PV8d3HK9znBg834MzBM9RtUrfE9W5GN3JO5nDu1Dlc3a//ev3orqMVbkfkbtHYWpzGVrFEympxyqpYImW1OGVVLJGyWpyyajnuyOR6q1atePHFF5kxY0aR5R07duSnn35iypQp9OnTh3Xr1rF27VpcXFxuWl9iYiKHDx8mMDCQWrVqkZSURH5+Ps2bN8fZ2ZnIyEgiIiLIz8/niSee4Ny5cyQnJ+Pi4sLAgQOL1ffbb78xYcIEnn32WerVq8fPP//MBx98wMmTJ3nhhRfMui3uZaXtB8OHD+eRRx5h3Lhx9OvXjx07dvD+++8za9YsUxlPT0+2bt1K//79cXBwKPFa+PHx8fj7+xe5uW2hRx55hPj4eGJiYoiKiqJPnz40btyYEydOsGvXLnr37g3A0KFD6datG0ajkZycHDZt2oSXl1eJ7+eNN94gMDCQuLg4evTowcaNG1m7dm2Zd5v+X+XZX8PDw5k2bRpRUVGEhYWRlpZmuhmHSGXa/+V+cs/m8tiAx6juUr3Iuod7PMw3Cd9wLvscHr4euLdw59rla2R8mYGb0Q2ATR9swsXdhQatGmCwMfDtv77Fxc2F6q7Vi7XVpncb1oxfw9KIpXR+szM5J3LY+P5GgApl7qmop5gbMpdaDWrh86wPBhsD//nuP2QfyKb7290xdjTyQNMH+Oyvn/FszLP8fuF3kiYk3cZWErmzNLYWp7FVLJGyWpyyKpZIWS1OWRVLpKwWp6xaDrNfFqZQTEyM6VSFQl5eXsyaNYsPPvgAHx8fdu7cabp4/83UrFmTlStX8uSTT+Ll5cXs2bNZvHgxLVu2BGDcuHGMHj2a2NhYvLy86Nq1K2vWrKFx48Yl1mdra8uBAwfo3bs3RqORHj168Msvv7Bt2zZTnWIeJe0Hfn5+LFu2jCVLlvCnP/2JMWPGEBMTw6BBg4q87ujRozRt2pS6dYv/4vTKlSskJCSYDmJ/1Lt3bxYuXIiNjQ2//PILL730Ekajkb59+9KtWzfeeecdAPLy8nj99ddN+43RaCxyEP5fAQEBzJ49m7i4OHx8fFi3bh0RERE4OjpWaJuUtb82bNiQFStWsGrVKnx8fJg9ezYTJ06sUBsid0JKQgrNOzQvNrEO4NPDhx/3/IiNnQ2JMYlMaT+Fmc/MxGBrYGD89S85HWs4snHGRqZ1nkZc5zh+/fFXXl36KjY2xYciRxdHBn82mJPpJ5naYSpJE5LoMqILgOmX7OXh1dmLwYsHk7Upi7igOKY/NZ3NH26mdoPrv0awsbHhlU9f4ervV4kLimPJm0t4+u2nb2XziNw1GluL09gqlkhZLU5ZFUukrBanrIolUlaLU1Ytg6HgjxdBL8Hu3btp06YNaWlp+Pn53Y1+WZxFixYRGhp6T28DKW7w4MEcOHCAbdu2VXZX5L8Kszp803A8fDwquztiRqn/TGXx/1tM7NFYqlWvVvYLxKKl/jOVhNcSNK5KMRpbLYs+A0tplFXLoqxKaZRVy6O8SkmUVctT3vlw3c1NpALeffddgoODcXJyYu3atSxYsKDUbyJF5PbsXLKTOp51cK3nysnvTvLF2C/wfc5XE+siVYzGVhHroKyKWAdlVcQ6KKtVhybXRSpg586dTJkyhQsXLtCkSRNmzJhBWFhYZXdLpEq6cOYCa2PXcuHMBVzcXPDt6Uv3v3ev7G6JiJlpbBWxDsqqiHVQVkWsg7JadWhyXaQCli1bVtldELlndB7Smc5DOld2N0TkDtPYKmIdlFUR66CsilgHZbXquGM3NBURERERERERERERqao0uS4iIiIiIiIiIiIiUkGaXBcRERERERERERERqSBNrouIiIiIiIiIiIiIVFCFbmialJREZmbmneqLRUtOTgbu7W0gYg0Ks5rxVQanvz9dyb0RkdIcTjkMaFwVsXT6DCxiHZRVEeuhvIpYhyNHjpSrnKGgoKCgrEI7duygffv25OXl3XbHrJnBxkBBfpmbS0QqmY2NDfn5+ZXdDREpg7IqYh2UVRHroKyKWA/lVcQ62Nrasm3bNtq1a1dqmXL9ct3BwYG8vDwSEhLw8vIyWwetSVJSEqNHjyZ0TihuRrfK7o6IlCLjqwzWTlh7Tx+vRKxB4biqrIpYNmVVxDooqyLWQ3kVsQ6ZmZmEhobi4OBw03IVuiyMl5cXfn5+t9Uxa1V4qo6b0Q0PH49K7o2IlKbwUjD38vFKxBoUjqvKqohlU1ZFrIOyKmI9lFeRqkU3NBURERERERERERERqSBNrouIiIiIiIiIiIiIVJAm10VEREREREREREREKkiT61LlDa09lH1r9lV2NwDL6otIVbJ582YMBgNnz56t7K5YVF9ELI0l5cOS+iJiaSwpH5bUFxFLY0n5sKS+iFgaS8qHJfWlqjDL5PqgQYMwGAxMmjSpyPJVq1ZhMBjM0cQdFR4ejsFgYPr06ZXdlXvekZ1HiKgTwUf9PjJbnTGZMXgHeZutPpGqwJzHbU9PzwodP2NjY7G1tWXq1KkVaudmHn/8cbKzs3F1dTVbnSKWQFkVsQ7Kqoh1UFZFrIOyKtbEbL9cd3R0ZPLkyeTk5JirSgCuXLli1vr+6PPPP+ebb76hfv36d7QdKZ+UhBTaD27PoR2HOJd9zix1uri5YOdgZ5a6RKqSO3XcLsu8efMYMWIE8+bNM1ud1apVw93d3Sq+0BWpKGVVxDooqyLWQVkVsQ7KqlgLs02uBwUF4e7uTmxsbKllxo4di6+vb5Fl06dPx9PT0/R80KBBPPfcc0yYMIH69evTvHlzAGbNmkWzZs1wdHTEzc2NPn36mF6Tn59PbGwsjRs3pnr16vj4+LB8+fIy+3zy5EneeOMNFi1ahL29fcXesJjd5YuX2bNqDwGvBOAd7M3OxTtN63LP5vLpq5/ydrO3iaofxfi240lZlALAtSvXWD5iOWO8xhBZL5J3Hn6H9f9Yb3rtHy/FciTlCFMCpxBZL5JpT05j35p9DK09lBPpJwA4+PVBhtYeyvdbvmfak9OIejCK6V2mc/rg6SL9TU9K592O7xJZL5JxrcexbvI68q7lmdb/dOgnZnSfQWS9SGIfiyVrU9Yd2W4it6o8x22AFStW0LJlSxwcHPD09GTatGmmdR07duTYsWNERERgMBjK/LCwZcsWLl26RExMDOfPn2f79u1F1n/77bd06tQJZ2dnXFxcaNOmDampqQAcO3aMHj16UKtWLZycnGjZsiVJSUlAyae2zZ07Fw8PD+677z569epFXFwcNWvWNK0vHJM+/fRTPD09cXV1pX///ly4cMFUpjzjS1JSEkajkerVq9OpUyeOHj16020gUlHKqrIq1kFZVVbFOiiryqpYB2VVWbUWZptct7W1ZeLEicycOZMTJ07cVl0bNmwgKyuL9evXk5iYSGpqKkOGDCEmJoasrCzWrVtHYGCgqXxsbCwLFy5k9uzZ7N+/n4iICEJDQ9myZUupbeTn5zNgwACioqJo2bLlbfVXzGPPqj080OwB3Jq50bZvW1IWpVBQUABA0sQkTmWd4rVlrzHym5G88O4LON3vBMDWOVv5bu13DJw3kLd2vsWAjwZQu2HtEtv4/fzvzP3zXOp71ydyUyTdRnXji3e+KLHsmvFr6DmuJ8M3DMfGzoYlbywxrTu04xCL/rKIwNcCGbljJH3j+rJz8U7WT7s+qZ+fn8+8l+ZhV82OiPUR9I3rW2o7IpWlPMfttLQ0+vbtS//+/UlPT2fs2LGMHj2a+fPnA7By5UoaNGhATEwM2dnZZGdn37TN+Ph4QkJCsLe3JyQkhPj4+CLrX3zxRRo0aMCuXbtIS0tj5MiRpi8/X3/9dS5fvszWrVtJT09n8uTJ1KhRo8R2kpOTCQ8P580332Tv3r0EBwczYcKEYuUOHTrEqlWrSExMJDExkS1bthQ59bCs8eXHH3/k+eefp0ePHuzdu5ewsDBGjhx5020gUlHKqrIq1kFZVVbFOiiryqpYB2VVWbUWZr1WRq9evfD19SU6OrrYDlgRTk5OfPzxx1SrVg24HgYnJyeeeeYZnJ2dadSoEa1btwbg8uXLTJw4ka+++op27doB0KRJE77++mvmzJlDhw4dSmxj8uTJ2NnZMWTIkFvup5hXSkIKbV9oC0CLzi24dP4SPyT/QLMnmpFzIocHWz1Iw9YNAbi/4f2m1+WczKFu07o0eawJBoOB2h4lT6wDpK1Iw2Aw0G96P+wd7XFv4c657HMsHbq0WNnuf+/OQwEPARA0NIiP+n3E1d+vYu9oz5dTvqTz0M74h/gDUMezDk+/9TSrx66m69+68v3m7zl98DThy8Nxredqqm9O3znm2VgiZlLWcTsuLo7OnTszevRoAIxGIxkZGUydOpVBgwZRu3ZtbG1tcXZ2xt3d/aZtnT9/nuXLl7Njxw4AQkNDad++Pe+9957pQ8fx48eJioqiRYsWADRr1sz0+uPHj9O7d29atWoFXD/Wl2bmzJl069aNyMhIU7+3b99OYmJikXL5+fnMnz8fZ2dnAAYMGMCGDRuYMGFCucaXDz/8kKZNm5p+HdG8eXPTBykRc1JWlVWxDsqqsirWQVlVVsU6KKvKqjUw2y/XC02ePJkFCxaQmZl5y3W0atXKNLEOEBwcTKNGjWjSpAkDBgxg0aJF5ObmAvDDDz+Qm5tLcHAwNWrUMD0WLlzIoUOHSqw/LS2N9957j/nz5+t6Rxbi9MHTHNt9DL/efgDY2tnSuldrUhKuX/ol4OUA9ny+hymBU1gdvZojKUdMr/UP8edk+kkm+k9kxcgVHNh4oNR2zhw8Q/2W9bF3vHEZoEZtGpVYtn7LG9fhd3FzAeDizxcBOPndSf499d+M8BhheiwdupTzp85zJfcKp78/Ta0Ha5km1gE8/T0ruFVE7o6bHbczMzMJCAgosiwgIICDBw+Sl5dXrPzNLF68mKZNm+Lj4wOAr68vjRo1YunSG19uDRs2jLCwMIKCgpg0aVKR4/iQIUMYP348AQEBREdHs2/fvmJtFMrKysLf37/Isj8+h+s3tyn8oAJQr149zpw5A5RvfMnMzOTRRx8tUmfhBxsRc1NWlVWxDsqqsirWQVlVVsU6KKvKqqUz++R6YGAgXbp0YdSoUcUbs7ExXeaj0NWrV4uVc3JyKvLc2dmZ3bt3s3jxYurVq8eYMWPw8fHh7NmzXLx4fbJzzZo17N271/TIyMgo9brr27Zt48yZMzRs2BA7Ozvs7Ow4duwYw4cPL3L9d7l7UhJSyL+WT7R3NMPqDmNY3WEkz0vm2y++5dL5S3gHexP9bTQd/9KRc6fOMavXLP41+l8AePh4MGbPGLqN6sbVS1eZ/8p8Phn4yW33ycb+f+Lx3+9g8vPzAbjy2xW6juxK1JYo02PE1yN4O/Vt7Bx181SxLjc7bptTfHw8+/fvNx137ezsyMjIKHKjmLFjx7J//366d+/Oxo0b8fb25vPPPwcgLCyMw4cPM2DAANLT02nbti0zZ868rT798X4bBoPBlPNbGV9E7iRl9QZlVSyZsnqDsiqWTFm9QVkVS6as3qCsWqY7Mgs4adIkfH19TTcjLVS3bl1OnTpFQUGB6Rfje/fuLVeddnZ2BAUFERQURHR0NDVr1mTjxo0EBwfj4ODA8ePHS70EzB8NGDCAoKCgIsu6dOnCgAEDePnll8tVh5hP3rU8di3dRc9xPWnRqUWRdfED4tm9YjcBLwdQo04N/EP88Q/xJ7ldMqvHrKbnuJ4AOLo44ve8H37P++HzrA9zXpjDbzm/4VSr6Bc1DzR7gNR/pnLt8jXsHK7v/sd3H69wnxs83IAzB89Qt0ndEte7Gd3IOZnDuVPncHW//uv1o7uOVrgdkbultOO2l5cXycnJRZYlJydjNBqxtbUFrt/5vKxfBaSnp5OamsrmzZupXfvGpZt+/fVXOnbsyIEDB0yn1hmNRoxGIxEREYSEhPDJJ5/Qq1cvADw8PAgPDyc8PJxRo0Yxd+5c3njjjWLtNW/enF27dhVZ9sfnZfH29i5zfPHy8mL16tVFln3zzTcVakekIpTV4pRVsUTKanHKqlgiZbU4ZVUskbJanLJqOe7I5HqrVq148cUXmTFjRpHlHTt25KeffmLKlCn06dOHdevWsXbtWlxcXG5aX2JiIocPHyYwMJBatWqRlJREfn4+zZs3x9nZmcjISCIiIsjPz+eJJ57g3LlzJCcn4+LiwsCBA4vVd//993P//fcXWWZvb4+7u3uxoMqdt//L/eSezeWxAY9R3aV6kXUP93iYbxK+4Vz2OTx8PXBv4c61y9fI+DIDN6MbAJs+2ISLuwsNWjXAYGPg2399i4ubC9Vdqxdrq03vNqwZv4alEUvp/GZnck7ksPH9jQAVukTQU1FPMTdkLrUa1MLnWR8MNgb+891/yD6QTfe3u2PsaOSBpg/w2V8/49mYZ/n9wu8kTUi6ja0kcmeVdtwePnw4jzzyCOPGjaNfv37s2LGD999/n1mzZpnKeHp6snXrVvr374+DgwN16tQpVn98fDz+/v5FbkZd6JFHHiE+Pp6YmBiioqLo06cPjRs35sSJE+zatYvevXsDMHToULp164bRaCQnJ4dNmzbh5eVV4vt54403CAwMJC4ujh49erBx40bWrl1boZyXZ3wJDw9n2rRpREVFERYWRlpamunmOSJ3grJanLIqlkhZLU5ZFUukrBanrIolUlaLU1Yth9kvC1MoJibGdKpCIS8vL2bNmsUHH3yAj48PO3fuNF28/2Zq1qzJypUrefLJJ/Hy8mL27NksXryYli1bAjBu3DhGjx5NbGwsXl5edO3alTVr1tC4ceM78t7EvFISUmjeoXmxiXUAnx4+/LjnR2zsbEiMSWRK+ynMfGYmBlsDA+Ovf3HiWMORjTM2Mq3zNOI6x/Hrj7/y6tJXsbEpvns7ujgy+LPBnEw/ydQOU0makESXEV0ATL9kLw+vzl4MXjyYrE1ZxAXFMf2p6Wz+cDO1G1z/htPGxoZXPn2Fq79fJS4ojiVvLuHpt5++lc0jcteUdNz28/Nj2bJlLFmyhD/96U+MGTOGmJgYBg0aVOR1R48epWnTptStW/xsjitXrpCQkGD60PFHvXv3ZuHChdjY2PDLL7/w0ksvYTQa6du3L926deOdd94BIC8vj9dff910nDcajUU+NP2vgIAAZs+eTVxcHD4+Pqxbt46IiAgcHR0rtE3KGl8aNmzIihUrWLVqFT4+PsyePZuJEydWqA2RilJWi1NWxRIpq8Upq2KJlNXilFWxRMpqccqqZTAU/PEi6CXYvXs3bdq0IS0tDT8/v7vRL4uzaNEiQkNDGb5pOB4+HpXdHTGj1H+msvj/LSb2aCzVqlcr+wVi0VL/mUrCawn39PFKSjZ48GAOHDjAtm3bKrsrwo1xVVmVP1JWLYuyKqVRVi2LsiqlUVYtj/IqJVFWLU9558N150W55+xcspM6nnVwrefKye9O8sXYL/B9zlcT6yJVzLvvvktwcDBOTk6sXbuWBQsWlPrLARGpPMqqiHVQVkWsg7IqYh2U1apDk+tyz7lw5gJrY9dy4cwFXNxc8O3pS/e/d6/sbomIme3cuZMpU6Zw4cIFmjRpwowZMwgLC6vsbonIHyirItZBWRWxDsqqiHVQVqsOTa7LPafzkM50HtK5srshInfYsmXLKrsLIlIOyqqIdVBWRayDsipiHZTVquOO3dBURERERERERERERKSq0uS6iIiIiIiIiIiIiEgFaXJdRERERERERERERKSCKnTN9aSkJDIzM+9UXyxacnIyABlfZXD6+9OV3BsRKc3hlMPAvX28ErEGheOqsipi2ZRVEeugrIpYD+VVxDocOXKkXOUMBQUFBWUV2rFjB+3btycvL++2O2bNbGxsyM/Pr+xuiEgZlFUR62CwMVCQX+bHEBGpZBpXRayDsipiPZRXEetga2vLtm3baNeuXallyvXLdQcHB/Ly8khISMDLy8tsHbQmSUlJjB49+p7eBiLWQFkVsQ6FWQ2dE4qb0a2yuyMipcj4KoO1E9ZqXBWxcPoMLGI9lFcR65CZmUloaCgODg43LVehy8J4eXnh5+d3Wx2zVoWn6tzL20DEGiirItahMKtuRjc8fDwquTciUprCyyFqXBWxbPoMLGI9lFeRqkU3NBURERERERERERERqSBNrouIiIiIiIiIiIiIVJAm10VEREREREREREREKkiT6yKl2Lx5MwaDgbNnz1Z2VyyqLyKWyJIyYkl9EbkThtYeyr41+yq7G4Bl9UWkKrGkscyS+iJiaSwpH5bUFxFLY0n5sKS+VBVmmVwfNGgQBoOBSZMmFVm+atUqDAaDOZowu8I+/++ja9euld0tq2bO/cDT05Pp06eXu3xsbCy2trZMnTq1Qu3czOOPP052djaurq5mq1PEUiivIveGIzuPEFEngo/6fWS2OmMyY/AO8jZbfSJVgcZVEeugrIpYB2VVrInZfrnu6OjI5MmTycnJMVeVAFy5csWs9f2vrl27kp2dbXosXrz4jrV1r7hT+0FZ5s2bx4gRI5g3b57Z6qxWrRru7u4W+wWRyO1SXkWqvpSEFNoPbs+hHYc4l33OLHW6uLlg52BnlrpEqhKNqyLWQVkVsQ7KqlgLs02uBwUF4e7uTmxsbKllxo4di6+vb5Fl06dPx9PT0/R80KBBPPfcc0yYMIH69evTvHlzAGbNmkWzZs1wdHTEzc2NPn36mF6Tn59PbGwsjRs3pnr16vj4+LB8+fIy++zg4IC7u7vpUatWrYq9aSmmPPsBwIoVK2jZsiUODg54enoybdo007qOHTty7NgxIiIiTGcV3MyWLVu4dOkSMTExnD9/nu3btxdZ/+2339KpUyecnZ1xcXGhTZs2pKamAnDs2DF69OhBrVq1cHJyomXLliQlJQElnyozd+5cPDw8uO++++jVqxdxcXHUrFnTtL5wH//000/x9PTE1dWV/v37c+HCBVOZ8uyvSUlJGI1GqlevTqdOnTh69OhNt4HIrVBelVep2i5fvMyeVXsIeCUA72Bvdi7eaVqXezaXT1/9lLebvU1U/SjGtx1PyqIUAK5ducbyEcsZ4zWGyHqRvPPwO6z/x3rTa/94KZYjKUeYEjiFyHqRTHtyGvvW7GNo7aGcSD8BwMGvDzK09lC+3/I9056cRtSDUUzvMp3TB08X6W96UjrvdnyXyHqRjGs9jnWT15F3Lc+0/qdDPzGj+wwi60US+1gsWZuy7sh2E7lVGlc1rop1UFaVVbEOyqqyai3MNrlua2vLxIkTmTlzJidOnLitujZs2EBWVhbr168nMTGR1NRUhgwZQkxMDFlZWaxbt47AwEBT+djYWBYuXMjs2bPZv38/ERERhIaGsmXLlpu2s3nzZh544AGaN2/OX/7yF3755Zfb6reUbz9IS0ujb9++9O/fn/T0dMaOHcvo0aOZP38+ACtXrqRBgwbExMSYziq4mfj4eEJCQrC3tyckJIT4+Pgi61988UUaNGjArl27SEtLY+TIkdjb2wPw+uuvc/nyZbZu3Up6ejqTJ0+mRo0aJbaTnJxMeHg4b775Jnv37iU4OJgJEyYUK3fo0CFWrVpFYmIiiYmJbNmypcipTGXtrz/++CPPP/88PXr0YO/evYSFhTFy5MibbgORW6G8Kq9Ste1ZtYcHmj2AWzM32vZtS8qiFAoKCgBImpjEqaxTvLbsNUZ+M5IX3n0Bp/udANg6Zyvfrf2OgfMG8tbOtxjw0QBqN6xdYhu/n/+duX+eS33v+kRuiqTbqG588c4XJZZdM34NPcf1ZPiG4djY2bDkjSWmdYd2HGLRXxYR+FogI3eMpG9cX3Yu3sn6adcn9fPz85n30jzsqtkRsT6CvnF9S21HpLJoXNW4KtZBWVVWxTooq8qqtTDrOb29evXC19eX6OjoYjtgRTg5OfHxxx9TrVo14HoYnJyceOaZZ3B2dqZRo0a0bt0agMuXLzNx4kS++uor2rVrB0CTJk34+uuvmTNnDh06dCixja5du/L888/TuHFjDh06xFtvvUW3bt3YsWMHtra2t9x3KXs/iIuLo3PnzowePRoAo9FIRkYGU6dOZdCgQdSuXRtbW1ucnZ1xd3e/aVvnz59n+fLl7NixA4DQ0FDat2/Pe++9ZzqIHT9+nKioKFq0aAFAs2bNTK8/fvw4vXv3plWrVsD1fac0M2fOpFu3bkRGRpr6vX37dhITE4uUy8/PZ/78+Tg7OwMwYMAANmzYwIQJE8q1v3744Yc0bdrU9G1r8+bNTQdmEXNTXpVXqbpSElJo+0JbAFp0bsGl85f4IfkHmj3RjJwTOTzY6kEatm4IwP0N7ze9LudkDnWb1qXJY00wGAzU9ih5Yh0gbUUaBoOBftP7Ye9oj3sLd85ln2Pp0KXFynb/e3ceCngIgKChQXzU7yOu/n4Ve0d7vpzyJZ2HdsY/xB+AOp51ePqtp1k9djVd/9aV7zd/z+mDpwlfHo5rPVdTfXP6zjHPxhIxE42rGlfFOiiryqpYB2VVWbUGZvvleqHJkyezYMECMjMzb7mOVq1amSbWAYKDg2nUqBFNmjRhwIABLFq0iNzcXAB++OEHcnNzCQ4OpkaNGqbHwoULOXToUKlt9O/fn2effZZWrVrx3HPPkZiYyK5du9i8efMt91tuuNl+kJmZSUBAQJFlAQEBHDx4kLy8vGLlb2bx4sU0bdoUHx8fAHx9fWnUqBFLl974o37YsGGEhYURFBTEpEmTiuwXQ4YMYfz48QQEBBAdHc2+ffuKtVEoKysLf3//Isv++Byu3yyj8MAHUK9ePc6cOQOUb3/NzMzk0UcfLVJn4YFS5E5QXpVXqXpOHzzNsd3H8OvtB4CtnS2te7UmJeH6pV8CXg5gz+d7mBI4hdXRqzmScsT0Wv8Qf06mn2Si/0RWjFzBgY0HSm3nzMEz1G9ZH3tHe9OyRm0alVi2fsv6pn+7uLkAcPHniwCc/O4k/576b0Z4jDA9lg5dyvlT57mSe4XT35+m1oO1TBPrAJ7+nhXcKiJ3h8ZVjatiHZRVZVWsg7KqrFo6s0+uBwYG0qVLF0aNGlW8MRsb0+nIha5evVqsnJOTU5Hnzs7O7N69m8WLF1OvXj3GjBmDj48PZ8+e5eLF63+UrVmzhr1795oeGRkZ5brueqEmTZpQp04dfvjhh3K/Rkp3s/3AnOLj49m/fz92dnamR0ZGRpEbT4wdO5b9+/fTvXt3Nm7ciLe3N59//jkAYWFhHD58mAEDBpCenk7btm2ZOXPmbfWp8JSgQgaDgfz8fACz7a8i5qS83qC8SlWRkpBC/rV8or2jGVZ3GMPqDiN5XjLffvEtl85fwjvYm+hvo+n4l46cO3WOWb1m8a/R/wLAw8eDMXvG0G1UN65eusr8V+bzycBPbrtPNvb/87Hzv5e7LMzbld+u0HVkV6K2RJkeI74ewdupb2PnqJuninXRuHqDxlWxZMrqDcqqWDJl9QZl1TLdkb9WJk2ahK+vr+lmpIXq1q3LqVOnKCgoMN1EYO/eveWq087OjqCgIIKCgoiOjqZmzZps3LiR4OBgHBwcOH78eKmXgCmPEydO8Msvv1CvXr1brkOKKm0/8PLyIjk5uciy5ORkjEaj6ZI81apVK/NbxvT0dFJTU9m8eTO1a984Zf3XX3+lY8eOHDhwwHSqjtFoxGg0EhERQUhICJ988gm9evUCwMPDg/DwcMLDwxk1ahRz587ljTfeKNZe8+bN2bVrV5Flf3xeFm9v7zL3Vy8vL1avXl1k2TfffFOhdkQqSnktTnkVa5V3LY9dS3fRc1xPWnRqUWRd/IB4dq/YTcDLAdSoUwP/EH/8Q/xJbpfM6jGr6TmuJwCOLo74Pe+H3/N++Dzrw5wX5vBbzm841Sr6A4gHmj1A6j9TuXb5GnYO1z9WHt99vMJ9bvBwA84cPEPdJnVLXO9mdCPnZA7nTp3D1f36r9eP7jpa4XZE7haNq8VpXBVLpKwWp6yKJVJWi1NWLccdmVxv1aoVL774IjNmzCiyvGPHjvz0009MmTKFPn36sG7dOtauXYuLi8tN60tMTOTw4cMEBgZSq1YtkpKSyM/Pp3nz5jg7OxMZGUlERAT5+fk88cQTnDt3juTkZFxcXBg4cGCx+i5evMg777xD7969cXd359ChQ4wYMYKHHnqILl26mHVb3MtK2w+GDx/OI488wrhx4+jXrx87duzg/fffZ9asWaYynp6ebN26lf79++Pg4ECdOnWK1R8fH4+/v3+Rm9sWeuSRR4iPjycmJoaoqCj69OlD48aNOXHiBLt27aJ3794ADB06lG7dumE0GsnJyWHTpk14eXmV+H7eeOMNAgMDiYuLo0ePHmzcuJG1a9eWebfp/1We/TU8PJxp06YRFRVFWFgYaWlppptxiNwpymtxyqtYq/1f7if3bC6PDXiM6i7Vi6x7uMfDfJPwDeeyz+Hh64F7C3euXb5GxpcZuBndANj0wSZc3F1o0KoBBhsD3/7rW1zcXKjuWr1YW216t2HN+DUsjVhK5zc7k3Mih43vbwSoUN6einqKuSFzqdWgFj7P+mCwMfCf7/5D9oFsur/dHWNHIw80fYDP/voZz8Y8y+8XfidpQtJtbCWRO0vjanEaV8USKavFKatiiZTV4pRVy2H2y8IUiomJMZ2qUMjLy4tZs2bxwQcf4OPjw86dO00X77+ZmjVrsnLlSp588km8vLyYPXs2ixcvpmXLlgCMGzeO0aNHExsbi5eXF127dmXNmjU0bty4xPpsbW3Zt28fzz77LEajkf/7v/+jTZs2bNu2DQcHh9t/82JS0n7g5+fHsmXLWLJkCX/6058YM2YMMTExDBo0qMjrjh49StOmTalbt/iv2K5cuUJCQoLpIPZHvXv3ZuHChdjY2PDLL7/w0ksvYTQa6du3L926deOdd94BIC8vj9dff9203xiNxiIH4f8VEBDA7NmziYuLw8fHh3Xr1hEREYGjo2OFtklZ+2vDhg1ZsWIFq1atwsfHh9mzZzNx4sQKtSFyK5TX4pRXsUYpCSk079C82MQ6gE8PH37c8yM2djYkxiQypf0UZj4zE4OtgYHx13+Q4FjDkY0zNjKt8zTiOsfx64+/8urSV7GxKf6x0dHFkcGfDeZk+kmmdphK0oQkuoy4/kOFwl+yl4dXZy8GLx5M1qYs4oLimP7UdDZ/uJnaDa7/csjGxoZXPn2Fq79fJS4ojiVvLuHpt5++lc0jctdoXC1O46pYImW1OGVVLJGyWpyyahkMBX+8CHoJdu/eTZs2bUhLS8PPz+9u9MviLFq0iNDQ0Ht6G0hxgwcP5sCBA2zbtq2yuyL/paxKaZRXy1KY1eGbhuPh41HZ3REzSv1nKov/32Jij8ZSrXq1sl8gFi31n6kkvJagcVWK0bhqWfQZWEqjrFoe5VVKoqxanvLOh+sOUSIV8O677xIcHIyTkxNr165lwYIFpX4TKSKVS3kVuTt2LtlJHc86uNZz5eR3J/li7Bf4PueriXWRKkbjqoh1UFZFrIOyWnVocl2kAnbu3MmUKVO4cOECTZo0YcaMGYSFhVV2t0SkBMqryN1x4cwF1sau5cKZC7i4ueDb05fuf+9e2d0SETPTuCpiHZRVEeugrFYdmlwXqYBly5ZVdhdEpJyUV5G7o/OQznQe0rmyuyEid5jGVRHroKyKWAdlteq4Yzc0FRERERERERERERGpqjS5LiIiIiIiIiIiIiJSQZpcFxERERERERERERGpIE2ui4iIiIiIiIiIiIhUUIVuaJqUlERmZuad6otFS05OBu7tbSBiDZRVEetQmNWMrzI4/f3pSu6NiJTmcMphQOOqiKXTZ2AR66G8iliHI0eOlKucoaCgoKCsQjt27KB9+/bk5eXddsesmY2NDfn5+ZXdDREpg7IqYh0MNgYK8sv8GCIilUzjqoh1UFZFrIfyKmIdbG1t2bZtG+3atSu1TLl+ue7g4EBeXh4JCQl4eXmZrYPWJCkpidGjR9/T20DEGiirItahMKuhc0JxM7pVdndEpBQZX2WwdsJajasiFk6fgUWsh/IqYh0yMzMJDQ3FwcHhpuUqdFkYLy8v/Pz8bqtj1qrwVJ17eRuIWANlVcQ6FGbVzeiGh49HJfdGREpTeNkmjasilk2fgUWsh/IqUrXohqYiIiIiIiIiIiIiIhWkyXURERERERERERERkQrS5LpIKTZv3ozBYODs2bOV3RWL6ouIJbKkjFhSX0TuhKG1h7Jvzb7K7gZgWX0RqUosaSyzpL6IWBpLyocl9UXE0lhSPiypL1WFWSbXBw0ahMFgYNKkSUWWr1q1CoPBYI4m7ojMzEyeffZZXF1dcXJy4pFHHuH48eOV3S2rZc79wNPTk+nTp5e7fGxsLLa2tkydOrVC7dzM448/TnZ2Nq6urmarU8RSKK8i94YjO48QUSeCj/p9ZLY6YzJj8A7yNlt9IlWBxlUR66CsilgHZVWsidl+ue7o6MjkyZPJyckxV5UAXLlyxaz1FTp06BBPPPEELVq0YPPmzezbt4/Ro0fj6Oh4R9q7V9yp/aAs8+bNY8SIEcybN89sdVarVg13d3eL/oJI5HYoryJVX0pCCu0Ht+fQjkOcyz5nljpd3Fywc7AzS10iVYnGVRHroKyKWAdlVayF2SbXg4KCcHd3JzY2ttQyY8eOxdfXt8iy6dOn4+npaXo+aNAgnnvuOSZMmED9+vVp3rw5ALNmzaJZs2Y4Ojri5uZGnz59TK/Jz88nNjaWxo0bU716dXx8fFi+fPlN+/v222/z9NNPM2XKFFq3bk3Tpk159tlneeCBByr+5sWkPPsBwIoVK2jZsiUODg54enoybdo007qOHTty7NgxIiIiMBgMZR58tmzZwqVLl4iJieH8+fNs3769yPpvv/2WTp064ezsjIuLC23atCE1NRWAY8eO0aNHD2rVqoWTkxMtW7YkKSkJKPlUmblz5+Lh4cF9991Hr169iIuLo2bNmqb1hfv4p59+iqenJ66urvTv358LFy6YypRnf01KSsJoNFK9enU6derE0aNHb7oNRG6F8qq8StV2+eJl9qzaQ8ArAXgHe7Nz8U7TutyzuXz66qe83extoupHMb7teFIWpQBw7co1lo9YzhivMUTWi+Sdh99h/T/Wm177x0uxHEk5wpTAKUTWi2Tak9PYt2YfQ2sP5UT6CQAOfn2QobWH8v2W75n25DSiHoxiepfpnD54ukh/05PSebfju0TWi2Rc63Gsm7yOvGt5pvU/HfqJGd1nEFkvktjHYsnalHVHtpvIrdK4qnFVrIOyqqyKdVBWlVVrYbbJdVtbWyZOnMjMmTM5ceLEbdW1YcMGsrKyWL9+PYmJiaSmpjJkyBBiYmLIyspi3bp1BAYGmsrHxsaycOFCZs+ezf79+4mIiCA0NJQtW7aUWH9+fj5r1qzBaDTSpUsXHnjgAR599FFWrVp1W/2W8u0HaWlp9O3bl/79+5Oens7YsWMZPXo08+fPB2DlypU0aNCAmJgYsrOzyc7Ovmmb8fHxhISEYG9vT0hICPHx8UXWv/jiizRo0IBdu3aRlpbGyJEjsbe3B+D111/n8uXLbN26lfT0dCZPnkyNGjVKbCc5OZnw8HDefPNN9u7dS3BwMBMmTChW7tChQ6xatYrExEQSExPZsmVLkVOZytpff/zxR55//nl69OjB3r17CQsLY+TIkTfdBiK3QnlVXqVq27NqDw80ewC3Zm607duWlEUpFBQUAJA0MYlTWad4bdlrjPxmJC+8+wJO9zsBsHXOVr5b+x0D5w3krZ1vMeCjAdRuWLvENn4//ztz/zyX+t71idwUSbdR3fjinS9KLLtm/Bp6juvJ8A3DsbGzYckbS0zrDu04xKK/LCLwtUBG7hhJ37i+7Fy8k/XTrk/q5+fnM++ledhVsyNifQR94/qW2o5IZdG4qnFVrIOyqqyKdVBWlVVrYdZzenv16oWvry/R0dHFdsCKcHJy4uOPP6ZatWrA9TA4OTnxzDPP4OzsTKNGjWjdujUAly9fZuLEiXz11Ve0a9cOgCZNmvD1118zZ84cOnToUKz+M2fOcPHiRSZNmsT48eOZPHky69at4/nnn2fTpk0lvkbKr6z9IC4ujs6dOzN69GgAjEYjGRkZTJ06lUGDBlG7dm1sbW1xdnbG3d39pm2dP3+e5cuXs2PHDgBCQ0Np37497733nukgdvz4caKiomjRogUAzZo1M73++PHj9O7dm1atWgHX953SzJw5k27duhEZGWnq9/bt20lMTCxSLj8/n/nz5+Ps7AzAgAED2LBhAxMmTCjX/vrhhx/StGlT07etzZs3Nx2YRcxNeVVepepKSUih7QttAWjRuQWXzl/ih+QfaPZEM3JO5PBgqwdp2LohAPc3vN/0upyTOdRtWpcmjzXBYDBQ26PkiXWAtBVpGAwG+k3vh72jPe4t3DmXfY6lQ5cWK9v97915KOAhAIKGBvFRv4+4+vtV7B3t+XLKl3Qe2hn/EH8A6njW4em3nmb12NV0/VtXvt/8PacPniZ8eTiu9VxN9c3pO8c8G0vETDSualwV66CsKqtiHZRVZdUamO2X64UmT57MggULyMzMvOU6WrVqZZpYBwgODqZRo0Y0adKEAQMGsGjRInJzcwH44YcfyM3NJTg4mBo1apgeCxcu5NChQyXWn5+fD0DPnj2JiIjA19eXkSNH8swzzzB79uxb7rfccLP9IDMzk4CAgCLLAgICOHjwIHl5ecXK38zixYtp2rQpPj4+APj6+tKoUSOWLr3xR/2wYcMICwsjKCiISZMmFdkvhgwZwvjx4wkICCA6Opp9+/YVa6NQVlYW/v7+RZb98Tlcv1lG4YEPoF69epw5cwYo3/6amZnJo48+WqTOwgOlyJ2gvCqvUvWcPniaY7uP4dfbDwBbO1ta92pNSsL1S78EvBzAns/3MCVwCqujV3Mk5Yjptf4h/pxMP8lE/4msGLmCAxsPlNrOmYNnqN+yPvaO9qZljdo0KrFs/Zb1Tf92cXMB4OLPFwE4+d1J/j3134zwGGF6LB26lPOnznMl9wqnvz9NrQdrmSbWATz9PSu4VUTuDo2rGlfFOiiryqpYB2VVWbV0Zp9cDwwMpEuXLowaNap4YzY2ptORC129erVYOScnpyLPnZ2d2b17N4sXL6ZevXqMGTMGHx8fzp49y8WL1/8oW7NmDXv37jU9MjIySr3uep06dbCzs8Pb27vIci8vL44fP16h9yslu9l+YE7x8fHs378fOzs70yMjI6PIjSfGjh3L/v376d69Oxs3bsTb25vPP/8cgLCwMA4fPsyAAQNIT0+nbdu2zJw587b6VHhKUCGDwWD6QudW9leRO015vUF5laoiJSGF/Gv5RHtHM6zuMIbVHUbyvGS+/eJbLp2/hHewN9HfRtPxLx05d+ocs3rN4l+j/wWAh48HY/aModuobly9dJX5r8znk4Gf3HafbOz/52Pnfy93WZi3K79doevIrkRtiTI9Rnw9grdT38bOUTdPFeuicfUGjatiyZTVG5RVsWTK6g3KqmW6I3+tTJo0CV9fX9PNSAvVrVuXU6dOUVBQYLqJwN69e8tVp52dHUFBQQQFBREdHU3NmjXZuHEjwcHBODg4cPz48XJfzqVatWo88sgjZGUVvRHW999/T6NGJf/aSiqutP3Ay8uL5OTkIsuSk5MxGo3Y2toC1/+PyvqWMT09ndTUVDZv3kzt2jdOWf/111/p2LEjBw4cMJ2qYzQaMRqNREREEBISwieffEKvXr0A8PDwIDw8nPDwcEaNGsXcuXN54403irXXvHlzdu3aVWTZH5+Xxdvbu8z91cvLi9WrVxdZ9s0331SoHZGKUl6LU17FWuVdy2PX0l30HNeTFp1aFFkXPyCe3St2E/ByADXq1MA/xB//EH+S2yWzesxqeo7rCYCjiyN+z/vh97wfPs/6MOeFOfyW8xtOtYr+AOKBZg+Q+s9Url2+hp3D9Y+Vx3dX/IcKDR5uwJmDZ6jbpG6J692MbuSczOHcqXO4ul//9frRXUcr3I7I3aJxtTiNq2KJlNXilFWxRMpqccqq5bgjk+utWrXixRdfZMaMGUWWd+zYkZ9++okpU6bQp08f1q1bx9q1a3FxcblpfYmJiRw+fJjAwEBq1apFUlIS+fn5NG/eHGdnZyIjI4mIiCA/P58nnniCc+fOkZycjIuLCwMHDiyxzqioKPr160dgYCCdOnVi3bp1fPHFF2zevNlcm+GeV9p+MHz4cB555BHGjRtHv3792LFjB++//z6zZs0ylfH09GTr1q30798fBwcH6tSpU6z++Ph4/P39i9zcttAjjzxCfHw8MTExREVF0adPHxo3bsyJEyfYtWsXvXv3BmDo0KF069YNo9FITk4OmzZtwsvLq8T388YbbxAYGEhcXBw9evRg48aNrF27tsy7Tf+v8uyv4eHhTJs2jaioKMLCwkhLSzPdjEPkTlFei1NexVrt/3I/uWdzeWzAY1R3qV5k3cM9HuabhG84l30OD18P3Fu4c+3yNTK+zMDN6AbApg824eLuQoNWDTDYGPj2X9/i4uZCddfqxdpq07sNa8avYWnEUjq/2ZmcEzlsfH8jQIXy9lTUU8wNmUutBrXwedYHg42B/3z3H7IPZNP97e4YOxp5oOkDfPbXz3g25ll+v/A7SROSbmMridxZGleL07gqlkhZLU5ZFUukrBanrFoOs18WplBMTIzpVIVCXl5ezJo1iw8++AAfHx927txpunj/zdSsWZOVK1fy5JNP4uXlxezZs1m8eDEtW7YEYNy4cYwePZrY2Fi8vLzo2rUra9asoXHjxqXW2atXL2bPns2UKVNo1aoVH3/8MStWrOCJJ564vTcuRZS0H/j5+bFs2TKWLFnCn/70J8aMGUNMTAyDBg0q8rqjR4/StGlT6tYt/iu2K1eukJCQYDqI/VHv3r1ZuHAhNjY2/PLLL7z00ksYjUb69u1Lt27deOeddwDIy8vj9ddfN+03RqOxyEH4fwUEBDB79mzi4uLw8fFh3bp1RERE4OjoWKFtUtb+2rBhQ1asWMGqVavw8fFh9uzZTJw4sUJtiNwK5bU45VWsUUpCCs07NC82sQ7g08OHH/f8iI2dDYkxiUxpP4WZz8zEYGtgYPz1HyQ41nBk44yNTOs8jbjOcfz646+8uvRVbGyKf2x0dHFk8GeDOZl+kqkdppI0IYkuI7oAmH7JXh5enb0YvHgwWZuyiAuKY/pT09n84WZqN7j+yyEbGxte+fQVrv5+lbigOJa8uYSn3376VjaPyF2jcbU4jatiiZTV4pRVsUTKanHKqmUwFPzxIugl2L17N23atCEtLQ0/P7+70S+Ls2jRIkJDQ+/pbSDFDR48mAMHDrBt27bK7or8l7IqpVFeLUthVodvGo6Hj0dld0fMKPWfqSz+f4uJPRpLterVyn6BWLTUf6aS8FqCxlUpRuOqZdFnYCmNsmp5lFcpibJqeco7H647RIlUwLvvvktwcDBOTk6sXbuWBQsWlPpNpIhULuVV5O7YuWQndTzr4FrPlZPfneSLsV/g+5yvJtZFqhiNqyLWQVkVsQ7KatWhyXWRCti5cydTpkzhwoULNGnShBkzZhAWFlbZ3RKREiivInfHhTMXWBu7lgtnLuDi5oJvT1+6/717ZXdLRMxM46qIdVBWRayDslp1aHJdpAKWLVtW2V0QkXJSXkXujs5DOtN5SOfK7oaI3GEaV0Wsg7IqYh2U1arjjt3QVERERERERERERESkqtLkuoiIiIiIiIiIiIhIBWlyXURERERERERERESkgjS5LiIiIiIiIiIiIiJSQRW6oWlSUhKZmZl3qi8WLTk5Gbi3t4GINVBWRaxDYVYzvsrg9PenK7k3IlKawymHAY2rIpZOn4FFrIfyKmIdjhw5Uq5yhoKCgoKyCu3YsYP27duTl5d32x2zZjY2NuTn51d2N0SkDMqqiHVQVkWsg8HGQEF+mX8yiEgl07gqYj2UVxHrYGtry7Zt22jXrl2pZcr1y3UHBwfy8vJISEjAy8vLbB20JklJSYwePfqe3gYi1kBZFbEOyqqIdSjMauicUNyMbpXdHREpRcZXGaydsFbjqogV0OdgEeuQmZlJaGgoDg4ONy1XocvCeHl54efnd1sds1aFp+rcy9tAxBooqyLWQVkVsQ6FWXUzuuHh41HJvRGR0hReYk3jqojl0+dgkapFNzQVEREREREREREREakgTa6LiIiIiIiIiIiIiFSQJtdFRERERERERERERCpIk+sipdi8eTMGg4GzZ89Wdlcsqi8ilsiSMmJJfRGxNJaUD0vqi8idMLT2UPat2VfZ3QAsqy8iVYkljWWW1BcRS2NJ+bCkvlQVZplcHzRoEAaDgUmTJhVZvmrVKgwGgzmaMDuDwVDiY+rUqZXdNatlzv3A09OT6dOnl7t8bGwstra2Zv3/e/zxx8nOzsbV1dVsdYpYCuVVxDooqyL3hiM7jxBRJ4KP+n1ktjpjMmPwDvI2W30iVYHGVRHroKyKNTHbL9cdHR2ZPHkyOTk55qoSgCtXrpi1vkLZ2dlFHvPmzcNgMNC7d+870t694k7tB2WZN28eI0aMYN68eWars1q1ari7u1vsF0Qit0t5FbEOyqpI1ZeSkEL7we05tOMQ57LPmaVOFzcX7BzszFKXSFWicVXEOiirYi3MNrkeFBSEu7s7sbGxpZYZO3Ysvr6+RZZNnz4dT09P0/NBgwbx3HPPMWHCBOrXr0/z5s0BmDVrFs2aNcPR0RE3Nzf69Oljek1+fj6xsbE0btyY6tWr4+Pjw/Lly2/aX3d39yKPf/3rX3Tq1IkmTZpU/M2LSXn2A4AVK1bQsmVLHBwc8PT0ZNq0aaZ1HTt25NixY0RERJjOKLiZLVu2cOnSJWJiYjh//jzbt28vsv7bb7+lU6dOODs74+LiQps2bUhNTQXg2LFj9OjRg1q1auHk5ETLli1JSkoCSj5VZu7cuXh4eHDffffRq1cv4uLiqFmzpml94T7+6aef4unpiaurK/379+fChQumMuXZX5OSkjAajVSvXp1OnTpx9OjRm24DkVuhvCqvYh2UVWVVqrbLFy+zZ9UeAl4JwDvYm52Ld5rW5Z7N5dNXP+XtZm8TVT+K8W3Hk7IoBYBrV66xfMRyxniNIbJeJO88/A7r/7He9No/XorlSMoRpgROIbJeJNOenMa+NfsYWnsoJ9JPAHDw64MMrT2U77d8z7QnpxH1YBTTu0zn9MHTRfqbnpTOux3fJbJeJONaj2Pd5HXkXcszrf/p0E/M6D6DyHqRxD4WS9amrDuy3URulcZVjatiHZRVZdVamG1y3dbWlokTJzJz5kxOnDhxW3Vt2LCBrKws1q9fT2JiIqmpqQwZMoSYmBiysrJYt24dgYGBpvKxsbEsXLiQ2bNns3//fiIiIggNDWXLli3lau/06dOsWbOG//u//7utfkv59oO0tDT69u1L//79SU9PZ+zYsYwePZr58+cDsHLlSho0aEBMTIzpzIKbiY+PJyQkBHt7e0JCQoiPjy+y/sUXX6RBgwbs2rWLtLQ0Ro4cib29PQCvv/46ly9fZuvWraSnpzN58mRq1KhRYjvJycmEh4fz5ptvsnfvXoKDg5kwYUKxcocOHWLVqlUkJiaSmJjIli1bipzKVNb++uOPP/L888/To0cP9u7dS1hYGCNHjrzpNhC5Fcqr8irWQVlVVqVq27NqDw80ewC3Zm607duWlEUpFBQUAJA0MYlTWad4bdlrjPxmJC+8+wJO9zsBsHXOVr5b+x0D5w3krZ1vMeCjAdRuWLvENn4//ztz/zyX+t71idwUSbdR3fjinS9KLLtm/Bp6juvJ8A3DsbGzYckbS0zrDu04xKK/LCLwtUBG7hhJ37i+7Fy8k/XTrk/q5+fnM++ledhVsyNifQR94/qW2o5IZdG4qnFVrIOyqqxaC7OeJ9irVy98fX2Jjo4utgNWhJOTEx9//DHVqlUDrofBycmJZ555BmdnZxo1akTr1q0BuHz5MhMnTuSrr76iXbt2ADRp0oSvv/6aOXPm0KFDhzLbW7BgAc7Ozjz//PO33Ge5oaz9IC4ujs6dOzN69GgAjEYjGRkZTJ06lUGDBlG7dm1sbW1xdnbG3d39pm2dP3+e5cuXs2PHDgBCQ0Np37497733nukgdvz4caKiomjRogUAzZo1M73++PHj9O7dm1atWgHc9MyFmTNn0q1bNyIjI0393r59O4mJiUXK5efnM3/+fJydnQEYMGAAGzZsYMKECeXaXz/88EOaNm1q+ra1efPmpgOziLkpr8qrWAdlVVmVqislIYW2L7QFoEXnFlw6f4kfkn+g2RPNyDmRw4OtHqRh64YA3N/wftPrck7mULdpXZo81gSDwUBtj5In1gHSVqRhMBjoN70f9o72uLdw51z2OZYOXVqsbPe/d+ehgIcACBoaxEf9PuLq71exd7Tnyylf0nloZ/xD/AGo41mHp996mtVjV9P1b135fvP3nD54mvDl4bjWczXVN6fvHPNsLBEz0biqcVWsg7KqrFoDs/1yvdDkyZNZsGABmZmZt1xHq1atTBPrAMHBwTRq1IgmTZowYMAAFi1aRG5uLgA//PADubm5BAcHU6NGDdNj4cKFHDp0qFztzZs3jxdffBFHR8db7rMUdbP9IDMzk4CAgCLLAgICOHjwIHl5ecXK38zixYtp2rQpPj4+APj6+tKoUSOWLr3xh8KwYcMICwsjKCiISZMmFdkvhgwZwvjx4wkICCA6Opp9+/YVa6NQVlYW/v7+RZb98Tlcv1lG4YEPoF69epw5cwYo3/6amZnJo48+WqTOwgOlyJ2gvCqvYh2UVWVVqp7TB09zbPcx/Hr7AWBrZ0vrXq1JSbh+6ZeAlwPY8/kepgROYXX0ao6kHDG91j/En5PpJ5noP5EVI1dwYOOBUts5c/AM9VvWx97R3rSsUZtGJZat37K+6d8ubi4AXPz5IgAnvzvJv6f+mxEeI0yPpUOXcv7Uea7kXuH096ep9WAt08Q6gKe/ZwW3isjdoXFV46pYB2VVWbV0Zp9cDwwMpEuXLowaNap4YzY2plMcC129erVYOScnpyLPnZ2d2b17N4sXL6ZevXqMGTMGHx8fzp49y8WL1z/orVmzhr1795oeGRkZZV53HWDbtm1kZWURFhZWkbcpZbjZfmBO8fHx7N+/Hzs7O9MjIyOjyI0nxo4dy/79+/9/e/ceFmWd/3/8OYACIXhYDW1BUb8ODmZDqGxFEQWU5Jpruio/Nd0udNmvWqLiT+vrIUwxFH6ulIvrYmWYh7KMEOxb4aFI5WAaKZrrIdP10BahpXkAfn+4jNGIMAoyQ6/Hdc11wX3fc9/vua/Paz4zn7kP9OvXj9zcXAICAnjnnXcAiImJ4dChQ4wcOZLi4mJ69+5NamrqTdVUdUpQFYPBQEVFBcBNt1eRhqC8XqW8ij1TVq9SVqWp2JGxg4rLFcwKmMWkdpOY1G4Secvz2P3ebs6fOU9AZACzds8i7C9hlJ0sY8nAJbw7410AfM2+zPxsJlHTo7h0/hKvPvUqr4x65aZrcmr2s6+I/7k0bVXeLv54kb7T+hK/Jd7ymPrJVJ4rfA4XN908VRyL+tWr1K+KPVNWr1JW7VODfAKaP38+gYGBlpuRVmnXrh0nT56ksrLSchOBXbt21WmdLi4uREREEBERwaxZs2jVqhW5ublERkbi6urK0aNH63QJmF9KT0+nV69ell+mpP7U1A5MJhN5eXnVpuXl5WE0GnF2dgau3Em5tl8Zi4uLKSwsZPPmzbRpc/U02O+++46wsDD27dtnOVXHaDRiNBqJi4sjOjqaV155hYEDBwLg6+tLbGwssbGxTJ8+nWXLljFhwgSr7fn7+1NQUFBt2i//r01AQECt7dVkMpGZmVlt2vbt223ajoitlFdryqvYI2XVmrIqjqr8cjkFawoYMGcA3R/qXm1e+sh0dq7bScifQmjRtgXB0cEERweTd28emTMzGTBnAABuXm4EPRFE0BNBmB83s/SPS/mx9Ec8Wlc/WOn2brdT+GYhly9cxsX1ylfAozuP2lyzz10+nD5wmnZd2l1zvrfRm9LjpZSdLKNl+ytHrx8pOGLzdkRuFfWr1tSvij1SVq0pq/ajQQbXe/bsyfDhw1m8eHG16WFhYXzzzTckJSUxePBgNm7cSE5ODl5eXtddX1ZWFocOHSI0NJTWrVuTnZ1NRUUF/v7+eHp6MmXKFOLi4qioqOD++++nrKyMvLw8vLy8GDVqVI3rPXPmDG+++Wa1OwlL/ampHUyePJk+ffowZ84chg4dyrZt23jppZdYsmSJZRk/Pz+2bt3KsGHDcHV1pW3btlbrT09PJzg4uNrNbav06dOH9PR0EhISiI+PZ/DgwXTu3Jljx45RUFDAoEGDAJg4cSJRUVEYjUZKS0vZtGkTJpPpmq9nwoQJhIaGkpKSQv/+/cnNzSUnJ6fWu03/XF3aa2xsLMnJycTHxxMTE0NRUZHlZhwiDUV5taa8ij1SVq0pq+Ko9ry/h3Pfn+Oekffg7uVebd5d/e9ie8Z2yk6U4RvoS/vu7bl84TJ739+Lt9EbgE0vb8KrvRc+PX0wOBnY/e5uvLy9cG/pbrWtXoN6seGFDayJW0P4M+GUHisl96VcAJvy9kj8IyyLXkZrn9aYHzdjcDLwry/+xYl9J+j3XD+MYUZu73o7b/z3Gzye8Dg/nf2J7LnZN7GXRBqW+lVr6lfFHimr1pRV+1Hvl4WpkpCQYDlVoYrJZGLJkiW8/PLLmM1m8vPzLRfvv55WrVrx9ttv8/DDD2MymUhLS2PVqlX06NEDgDlz5jBjxgwSExMxmUz07duXDRs20Llz5+uud/Xq1VRWVhIdHX3jL1Su61rtICgoiLVr17J69WruvPNOZs6cSUJCAqNHj672vCNHjtC1a1fatbM+MubixYtkZGRY3sR+adCgQaxYsQInJye+/fZbnnzySYxGI0OGDCEqKornn38egPLycsaNG2dpN0ajsdqb8M+FhISQlpZGSkoKZrOZjRs3EhcXZ/O1+mtrrx07dmTdunWsX78es9lMWloa8+bNs2kbIjdCebWmvIo9UlatKaviiHZk7MD/QX+rgXUAc38zX3/2NU4uTmQlZJH0QBKpv0/F4GxgVPqVg4fcWriRuziX5PBkUsJT+O7r7xi7ZixOTtZf8dy83BjzxhiOFx9nwYMLyJ6bzaNTHwWwHMleF6ZwE2NWjWH/pv2kRKSw6JFFbP7bZtr4XDnKz8nJiadef4pLP10iJSKF1c+s5rHnHruR3SNyy6hftaZ+VeyRsmpNWbUPhspfXgT9Gnbu3EmvXr0oKioiKCjoVtRld1auXMmIESN+1ftArI0ZM4Z9+/bx8ccfN3Yp8h/KqtREebUvyqrURFm1L1VZnbxpMr5m38YuR+pR4ZuFrBq/isQjiTR3b97Y5chNKnyzkIw/Z6hfFSvqV+2PPgfLtSir9qeu4+G664yIDRYuXEhkZCQeHh7k5OTw2muv1fhLpIg0LuVVxDEoqyK3Rv7qfNr6taVlh5Yc/+I4781+j8A/BGpgXaSJUb8q4hiU1aZDg+siNsjPzycpKYmzZ8/SpUsXFi9eTExMTGOXJSLXoLyKOAZlVeTWOHv6LDmJOZw9fRYvby8CBwTS73/6NXZZIlLP1K+KOAZltenQ4LqIDdauXdvYJYhIHSmvIo5BWRW5NcKfDif86fDGLkNEGpj6VRHHoKw2HQ12Q1MRERERERERERERkaZKg+siIiIiIiIiIiIiIjbS4LqIiIiIiIiIiIiIiI00uC4iIiIiIiIiIiIiYiObbmianZ1NSUlJQ9Vi1/Ly8oBf9z4QcQTKqohjUFZFHENVVvd+uJdTX55q5GpEpCaHdhwC1K+KOAJ9DhZxDIcPH67TcobKysrK2hbatm0bDzzwAOXl5TddmCNzcnKioqKiscsQkVooqyKOQVkVcQwGJwOVFbV+ZRCRRqZ+VcRxKK8ijsHZ2ZmPP/6Ye++9t8Zl6nTkuqurK+Xl5WRkZGAymeqtQEeSnZ3NjBkzftX7QMQRKKsijkFZFXEMVVkdsXQE3kbvxi5HRGqw98O95MzNUb8q4gD0OVjEMZSUlDBixAhcXV2vu5xNl4UxmUwEBQXdVGGOqupUnV/zPhBxBMqqiGNQVkUcQ1VWvY3e+Jp9G7kaEalJ1WWb1K+K2D99DhZpWnRDUxERERERERERERERG2lwXURERERERERERETERhpcF6nB5s2bMRgMfP/9941dil3VImKP7Ckj9lSLiL2xp3zYUy0iDWFim4l8vuHzxi4DsK9aRJoSe+rL7KkWEXtjT/mwp1qainoZXB89ejQGg4H58+dXm75+/XoMBkN9bKLe/fDDD4wfPx4fHx/c3d0JCAggLS2tsctyaPXZDvz8/Fi0aFGdl09MTMTZ2ZkFCxbYtJ3rue+++zhx4gQtW7ast3WK2AvlVcQxKKsivw6H8w8T1zaOvw/9e72tM6EkgYCIgHpbn0hToH5VxDEoq+JI6u3IdTc3N1588UVKS0vra5UAXLx4sV7XV2XSpEls3LiRjIwMSkpKmDhxIuPHjyczM7NBtvdr0VDtoDbLly9n6tSpLF++vN7W2bx5c9q3b2+3PxCJ3CzlVcQxKKsiTd+OjB08MOYBDm47SNmJsnpZp5e3Fy6uLvWyLpGmRP2qiGNQVsVR1NvgekREBO3btycxMbHGZWbPnk1gYGC1aYsWLcLPz8/y/+jRo/nDH/7A3LlzueOOO/D39wdgyZIldOvWDTc3N7y9vRk8eLDlORUVFSQmJtK5c2fc3d0xm8289dZb1633008/ZdSoUYSFheHn58fYsWMxm83k5+fb/uLFoi7tAGDdunX06NEDV1dX/Pz8SE5OtswLCwvjq6++Ii4uDoPBUOubz5YtWzh//jwJCQmcOXOGTz/9tNr83bt389BDD+Hp6YmXlxe9evWisLAQgK+++or+/fvTunVrPDw86NGjB9nZ2cC1T5VZtmwZvr6+3HbbbQwcOJCUlBRatWplmV/Vxl9//XX8/Pxo2bIlw4YN4+zZs5Zl6tJes7OzMRqNuLu789BDD3HkyJHr7gORG6G8Kq/iGJRVZVWatgs/XOCz9Z8R8lQIAZEB5K+6+n3k3PfneH3s6zzX7Tni74jnhd4vsGPlDgAuX7zMW1PfYqZpJlM6TOH5u57ng//3geW5v7wUy+Edh0kKTWJKhykkP5zM5xs+Z2KbiRwrPgbAgU8OMLHNRL7c8iXJDycT/9t4Fj26iFMHTlWrtzi7mIVhC5nSYQpz7p7Dxhc3Un653DL/m4PfsLjfYqZ0mELiPYns37S/QfabyI1Sv6p+VRyDsqqsOop6G1x3dnZm3rx5pKamcuzYsZta10cffcT+/fv54IMPyMrKorCwkKeffpqEhAT279/Pxo0bCQ0NtSyfmJjIihUrSEtLY8+ePcTFxTFixAi2bNlS4zbuu+8+MjMzOX78OJWVlWzatIkvv/ySRx555KZq/7WrSzsoKipiyJAhDBs2jOLiYmbPns2MGTN49dVXAXj77bfx8fEhISGBEydOcOLEietuMz09nejoaJo1a0Z0dDTp6enV5g8fPhwfHx8KCgooKipi2rRpNGvWDIBx48Zx4cIFtm7dSnFxMS+++CItWrS45nby8vKIjY3lmWeeYdeuXURGRjJ37lyr5Q4ePMj69evJysoiKyuLLVu2VDuVqbb2+vXXX/PEE0/Qv39/du3aRUxMDNOmTbvuPhC5Ecqr8iqOQVlVVqVp+2z9Z9ze7Xa8u3nTe0hvdqzcQWVlJQDZ87I5uf8kf177Z6Ztn8YfF/4Rj994ALB16Va+yPmCUctH8Wz+s4z8+0jadGxzzW38dOYnlv2fZdwRcAdTNk0hanoU7z3/3jWX3fDCBgbMGcDkjybj5OLE6gmrLfMObjvIyr+sJPTPoUzbNo0hKUPIX5XPB8lXBvUrKipY/uRyXJq7EPdBHENShtS4HZHGon5V/ao4BmVVWXUU9Xqe4MCBAwkMDGTWrFlWDdAWHh4e/OMf/6B58+bAlTB4eHjw+9//Hk9PTzp16sTdd98NwIULF5g3bx4ffvgh9957LwBdunThk08+YenSpTz44IPX3EZqaipjx47Fx8cHFxcXnJycWLZsWbVBe7kxtbWDlJQUwsPDmTFjBgBGo5G9e/eyYMECRo8eTZs2bXB2dsbT05P27dtfd1tnzpzhrbfeYtu2bQCMGDGCBx54gL/+9a+WN7GjR48SHx9P9+7dAejWrZvl+UePHmXQoEH07NkTuNJ2apKamkpUVBRTpkyx1P3pp5+SlZVVbbmKigpeffVVPD09ARg5ciQfffQRc+fOrVN7/dvf/kbXrl0tv7b6+/tb3phF6pvyqryKY1BWlVVpunZk7KD3H3sD0D28O+fPnOefef+k2/3dKD1Wym97/paOd3cE4Dcdf2N5XunxUtp1bUeXe7pgMBho43vtgXWAonVFGAwGhi4aSjO3ZrTv3p6yE2WsmbjGatl+/9OP/wr5LwAiJkbw96F/59JPl2jm1oz3k94nfGI4wdHBALT1a8tjzz5G5uxM+v7fvny5+UtOHThF7FuxtOzQ0rK+pUOW1s/OEqkn6lfVr4pjUFaVVUdQb0euV3nxxRd57bXXKCkpueF19OzZ0zKwDhAZGUmnTp3o0qULI0eOZOXKlZw7dw6Af/7zn5w7d47IyEhatGhheaxYsYKDBw/WuI3U1FS2b99OZmYmRUVFJCcnM27cOD788MMbrluuul47KCkpISQkpNq0kJAQDhw4QHl5udXy17Nq1Sq6du2K2WwGIDAwkE6dOrFmzdUvCpMmTSImJoaIiAjmz59frV08/fTTvPDCC4SEhDBr1iw+//xzq21U2b9/P8HBwdWm/fJ/uHKzjKo3PoAOHTpw+vRpoG7ttaSkhN/97nfV1ln1RinSEJRX5VUcg7KqrErTc+rAKb7a+RVBg4IAcHZx5u6Bd7Mj48qlX0L+FMJn73xGUmgSmbMyObzjsOW5wdHBHC8+zrzgeaybto59uftq3M7pA6e5o8cdNHNrZpnWqVenay57R487LH97eXsB8MO/fwDg+BfH+d8F/8tU36mWx5qJazhz8gwXz13k1JenaP3b1paBdQC/YD8b94rIraF+Vf2qOAZlVVm1d/U+uB4aGsqjjz7K9OnTrTfm5GQ5xbHKpUuXrJbz8PCo9r+npyc7d+5k1apVdOjQgZkzZ2I2m/n+++/54YcrH/Q2bNjArl27LI+9e/fWeN318+fP8+yzz5KSkkL//v256667GD9+PEOHDmXhwoU3+tLlZ67XDupTeno6e/bswcXFxfLYu3dvtRtPzJ49mz179tCvXz9yc3MJCAjgnXfeASAmJoZDhw4xcuRIiouL6d27N6mpqTdVU9UpQVUMBgMVFRUAN9ReRRqa8nqV8ir2TFm9SlmVpmJHxg4qLlcwK2AWk9pNYlK7SeQtz2P3e7s5f+Y8AZEBzNo9i7C/hFF2sowlA5fw7ox3AfA1+zLzs5lETY/i0vlLvPrUq7wy6pWbrsmp2c++Iv7n0rRVebv440X6TutL/JZ4y2PqJ1N5rvA5XNx081RxLOpXr1K/KvZMWb1KWbVPDfIJaP78+QQGBlpuRlqlXbt2nDx5ksrKSstNBHbt2lWndbq4uBAREUFERASzZs2iVatW5ObmEhkZiaurK0ePHq3xEjC/dOnSJS5duoSTU/XfFpydnS2NVG5eTe3AZDKRl5dXbVpeXh5GoxFnZ2fgyp2Ua/uVsbi4mMLCQjZv3kybNldPg/3uu+8ICwtj3759llN1jEYjRqORuLg4oqOjeeWVVxg4cCAAvr6+xMbGEhsby/Tp01m2bBkTJkyw2p6/vz8FBQXVpv3y/9oEBATU2l5NJhOZmZnVpm3fvt2m7YjYSnm1pryKPVJWrSmr4qjKL5dTsKaAAXMG0P2h7tXmpY9MZ+e6nYT8KYQWbVsQHB1McHQweffmkTkzkwFzBgDg5uVG0BNBBD0RhPlxM0v/uJQfS3/Eo3X1g5Vu73Y7hW8WcvnCZVxcr3wFPLrzqM01+9zlw+kDp2nXpd0153sbvSk9XkrZyTJatr9y9PqRgiM2b0fkVlG/ak39qtgjZdWasmo/GmRwvWfPngwfPpzFixdXmx4WFsY333xDUlISgwcPZuPGjeTk5ODl5XXd9WVlZXHo0CFCQ0Np3bo12dnZVFRU4O/vj6enJ1OmTCEuLo6Kigruv/9+ysrKyMvLw8vLi1GjRlmtz8vLiwcffJD4+Hjc3d3p1KkTW7ZsYcWKFaSkpNTrvvg1q6kdTJ48mT59+jBnzhyGDh3Ktm3beOmll1iyZIllGT8/P7Zu3cqwYcNwdXWlbdu2VutPT08nODj4mtfJ79OnD+np6SQkJBAfH8/gwYPp3Lkzx44do6CggEGDBgEwceJEoqKiMBqNlJaWsmnTJkwm0zVfz4QJEwgNDbWc8ZCbm0tOTk6td5v+ubq019jYWJKTk4mPjycmJoaioiLLzThEGoryak15FXukrFpTVsVR7Xl/D+e+P8c9I+/B3cu92ry7+t/F9oztlJ0owzfQl/bd23P5wmX2vr8Xb6M3AJte3oRXey98evpgcDKw+93deHl74d7S3WpbvQb1YsMLG1gTt4bwZ8IpPVZK7ku5ADbl7ZH4R1gWvYzWPq0xP27G4GTgX1/8ixP7TtDvuX4Yw4zc3vV23vjvN3g84XF+OvsT2XOzb2IviTQs9avW1K+KPVJWrSmr9qPeLwtTJSEhweoocJPJxJIlS3j55Zcxm83k5+dbLt5/Pa1ateLtt9/m4YcfxmQykZaWxqpVq+jRowcAc+bMYcaMGSQmJmIymejbty8bNmygc+fONa5z9erV9OnTh+HDhxMQEMD8+fOZO3cusbGxN/fCpZprtYOgoCDWrl3L6tWrufPOO5k5cyYJCQmMHj262vOOHDlC165dadfO+siYixcvkpGRYXkT+6VBgwaxYsUKnJyc+Pbbb3nyyScxGo0MGTKEqKgonn/+eQDKy8sZN26cpd0YjcZqb8I/FxISQlpaGikpKZjNZjZu3EhcXBxubm427ZPa2mvHjh1Zt24d69evx2w2k5aWxrx582zahsiNUF6tKa9ij5RVa8qqOKIdGTvwf9DfamAdwNzfzNeffY2TixNZCVkkPZBE6u9TMTgbGJV+5eAhtxZu5C7OJTk8mZTwFL77+jvGrhlrdXYuXDnCfcwbYzhefJwFDy4ge242j059FMByJHtdmMJNjFk1hv2b9pMSkcKiRxax+W+baeNz5Sg/Jycnnnr9KS79dImUiBRWP7Oax5577EZ2j8gto37VmvpVsUfKqjVl1T4YKn95EfRr2LlzJ7169aKoqIigoKBbUZfdWblyJSNGjPhV7wOxNmbMGPbt28fHH3/c2KXIfyirUhPl1b4oq1ITZdW+VGV18qbJ+Jp9G7scqUeFbxayavwqEo8k0ty9eWOXIzep8M1CMv6coX5VrKhftT/6HCzXoqzan7qOh+uuMyI2WLhwIZGRkXh4eJCTk8Nrr71W4y+RItK4lFcRx6Csitwa+avzaevXlpYdWnL8i+O8N/s9Av8QqIF1kSZG/aqIY1BWmw4NrovYID8/n6SkJM6ePUuXLl1YvHgxMTExjV2WiFyD8iriGJRVkVvj7Omz5CTmcPb0Wby8vQgcEEi//+nX2GWJSD1TvyriGJTVpkOD6yI2WLt2bWOXICJ1pLyKOAZlVeTWCH86nPCnwxu7DBFpYOpXRRyDstp0NNgNTUVEREREREREREREmioNrouIiIiIiIiIiIiI2EiD6yIiIiIiIiIiIiIiNtLguoiIiIiIiIiIiIiIjWy6oWlJSUlD1WH3Dh8+DPy694GII1BWRRyDsiriGKqyeurLU41ciYhcz7dHvwXUr4o4An0OFnEMdc2oobKysrK2hY4ePYrJZOLcuXM3XZgjc3Z2pry8vLHLEJFaKKsijkFZFXEMBicDlRW1fmUQkUbm5OxERXlFY5chInWgz8EijuG2226jpKSEjh071rhMnQbX4coA+7///e96K84RXbhwAVdX18YuQ0RqoayKOAZlVcQxKKsijkFZFXEcyquIY2jbtu11B9bBhsF1ERERERERERERERG5Qjc0FRERERERERERERGxkQbXRURERERERERERERspMF1EREREREREREREREbaXBdRERERERERERERMRGGlwXEREREREREREREbGRBtdFRERERERERERERGykwXURERERERERERERERv9fxnRnNG8WTA1AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) > (shifts[1,0,1]), (shifts[1,0,0]) <= (shifts[1,1,0]), (shifts[1,0,1]) == (shifts[1,1,0]), (shifts[0,2,1]) > (shifts[1,0,0]), (shifts[0,0,0]) >= (shifts[1,0,0]), (shifts[0,0,0]) < (shifts[1,1,0]), (shifts[0,0,0]) >= (shifts[1,0,1]), (shifts[0,1,0]) <= (shifts[1,1,0]), (shifts[0,1,1]) > (shifts[1,0,0]), (shifts[0,0,0]) == (shifts[1,1,0]), (shifts[1,0,1]) <= (shifts[1,1,0]), (shifts[0,1,1]) <= (shifts[1,1,0]), (shifts[0,1,0]) == (shifts[1,1,0]), (shifts[0,1,1]) == (shifts[1,1,0]), (shifts[0,2,0]) > (shifts[1,0,1]), (shifts[0,2,1]) < (shifts[1,1,0]), (shifts[0,0,0]) == (shifts[1,0,0]), (shifts[0,1,0]) >= (shifts[1,0,0]), (shifts[0,2,1]) == (shifts[1,1,0]), (shifts[0,1,1]) < (shifts[1,1,0]), (shifts[1,0,0]) >= (shifts[1,0,1]), (shifts[0,1,0]) > (shifts[1,0,1]), (shifts[0,2,0]) >= (shifts[1,0,0]), (shifts[0,1,1]) >= (shifts[1,0,1]), (shifts[0,0,1]) > (shifts[1,1,0]), (shifts[0,0,1]) >= (shifts[1,0,0]), (shifts[0,0,1]) != (shifts[1,1,0]), (shifts[0,0,1]) >= (shifts[1,0,1]), (shifts[0,2,0]) <= (shifts[1,1,0]), (shifts[0,1,0]) >= (shifts[1,0,1]), (shifts[0,2,0]) > (shifts[1,0,0]), (shifts[1,0,0]) < (shifts[1,1,0]), (shifts[0,1,0]) < (shifts[1,1,0]), (shifts[0,2,1]) >= (shifts[1,0,0]), (shifts[0,1,0]) > (shifts[1,0,0]), (shifts[0,2,1]) > (shifts[1,0,1]), (shifts[1,0,0]) == (shifts[1,0,1]), (shifts[0,1,1]) >= (shifts[1,0,0]), (shifts[0,0,0]) == (shifts[1,0,1]), (shifts[0,0,1]) < (shifts[1,1,0]), (shifts[0,2,1]) <= (shifts[1,1,0]), (shifts[0,2,1]) >= (shifts[1,0,1]), (shifts[0,0,0]) <= (shifts[1,1,0]), (shifts[0,2,0]) == (shifts[1,1,0]), (shifts[1,0,1]) < (shifts[1,1,0]), (shifts[0,2,0]) >= (shifts[1,0,1]), (shifts[0,0,1]) > (shifts[1,0,0]), (shifts[0,2,0]) < (shifts[1,1,0]), (shifts[1,0,0]) == (shifts[1,1,0]), (shifts[0,0,1]) > (shifts[1,0,1])]\n",
      "Query113: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query114: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) == (shifts[1,1,1]), (shifts[0,0,1]) > (shifts[1,1,1]), (shifts[0,1,1]) == (shifts[1,1,1]), (shifts[0,2,0]) < (shifts[1,1,1]), (shifts[0,1,0]) <= (shifts[1,1,1]), (shifts[0,1,0]) == (shifts[1,1,1]), (shifts[0,1,1]) < (shifts[1,1,1]), (shifts[0,2,0]) == (shifts[1,1,1]), (shifts[0,2,1]) < (shifts[1,1,1]), (shifts[0,0,0]) <= (shifts[1,1,1]), (shifts[0,1,1]) <= (shifts[1,1,1]), (shifts[0,2,1]) == (shifts[1,1,1]), (shifts[0,0,1]) < (shifts[1,1,1]), (shifts[0,2,1]) <= (shifts[1,1,1]), (shifts[0,0,0]) < (shifts[1,1,1]), (shifts[0,1,0]) < (shifts[1,1,1]), (shifts[0,0,1]) != (shifts[1,1,1]), (shifts[0,2,0]) <= (shifts[1,1,1])]\n",
      "Query115: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) == (shifts[1,1,1]), (shifts[1,0,0]) < (shifts[1,1,1]), (shifts[1,0,0]) <= (shifts[1,1,1])]\n",
      "Query116: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,1]) <= (shifts[1,1,1]), (shifts[1,0,1]) == (shifts[1,1,1]), (shifts[1,0,1]) < (shifts[1,1,1])]\n",
      "Query117: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query118: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,0]) < (shifts[1,1,1])]\n",
      "Query119: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,0]) > (shifts[1,1,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,1,0]) != (shifts[1,1,1])]\n",
      "Size of CL:  17\n",
      "Size of B:  190\n",
      "Number of Queries:  120\n",
      "Query120: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query121: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) <= (shifts[1,0,0]), (shifts[0,2,1]) >= (shifts[1,1,0]), (shifts[0,0,0]) >= (shifts[1,1,0]), (shifts[0,0,1]) == (shifts[1,1,0]), (shifts[0,2,0]) > (shifts[1,1,0]), (shifts[0,0,0]) > (shifts[1,1,0]), (shifts[0,1,0]) != (shifts[1,0,0]), (shifts[0,0,0]) <= (shifts[1,0,1]), (shifts[1,0,1]) >= (shifts[1,1,0]), (shifts[0,1,1]) != (shifts[1,0,1]), (shifts[1,0,1]) > (shifts[1,1,0]), (shifts[1,0,0]) <= (shifts[1,0,1]), (shifts[0,0,1]) >= (shifts[1,1,0]), (shifts[0,1,0]) >= (shifts[1,1,0]), (shifts[0,1,1]) > (shifts[1,1,0]), (shifts[1,0,0]) >= (shifts[1,1,0]), (shifts[0,2,0]) != (shifts[1,1,0]), (shifts[0,1,0]) > (shifts[1,1,0]), (shifts[0,2,1]) > (shifts[1,1,0]), (shifts[0,1,1]) >= (shifts[1,1,0]), (shifts[1,0,0]) > (shifts[1,1,0])]\n",
      "Query122: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) > (shifts[1,1,1]), (shifts[1,0,1]) >= (shifts[1,1,1]), (shifts[0,1,0]) >= (shifts[1,1,1]), (shifts[0,1,1]) > (shifts[1,1,1]), (shifts[0,0,1]) >= (shifts[1,1,1]), (shifts[0,0,0]) > (shifts[1,1,1]), (shifts[0,0,1]) == (shifts[1,1,1]), (shifts[0,2,1]) >= (shifts[1,1,1]), (shifts[1,1,0]) >= (shifts[1,1,1]), (shifts[0,2,1]) > (shifts[1,1,1]), (shifts[0,1,0]) > (shifts[1,1,1]), (shifts[0,1,1]) >= (shifts[1,1,1]), (shifts[0,2,0]) >= (shifts[1,1,1]), (shifts[1,0,1]) > (shifts[1,1,1]), (shifts[0,2,0]) > (shifts[1,1,1]), (shifts[1,1,0]) == (shifts[1,1,1]), (shifts[1,0,0]) >= (shifts[1,1,1]), (shifts[0,0,0]) >= (shifts[1,1,1])]\n",
      "Query123: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query124: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query125: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) <= (shifts[1,2,0]), (shifts[0,1,1]) != (shifts[1,2,0]), (shifts[0,1,0]) < (shifts[1,2,0]), (shifts[0,1,0]) <= (shifts[1,2,0]), (shifts[0,1,1]) < (shifts[1,2,0]), (shifts[0,0,0]) < (shifts[1,2,0]), (shifts[0,1,1]) > (shifts[1,2,0]), (shifts[0,0,0]) == (shifts[1,2,0]), (shifts[0,2,1]) < (shifts[1,2,0]), (shifts[0,2,0]) < (shifts[1,2,0]), (shifts[0,2,0]) <= (shifts[1,2,0]), (shifts[0,1,0]) == (shifts[1,2,0]), (shifts[0,0,0]) <= (shifts[1,2,0]), (shifts[0,0,1]) == (shifts[1,2,0]), (shifts[0,0,1]) <= (shifts[1,2,0]), (shifts[0,0,1]) < (shifts[1,2,0]), (shifts[0,2,1]) == (shifts[1,2,0]), (shifts[0,2,0]) == (shifts[1,2,0])]\n",
      "Query126: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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du1K9/oedslp6yute8/o7zWuDBg2KzGt+W1I8ZbX0KjqrmzZtKvI4HzBgQLHbfPzxx6YOHTqYatWqZapUqZKpfv36poEDB5qOHTtmLtOuXTvT22+/XWC77t27F6gXMK1atcr8/LdZzhceHm6qUaNGidnbtGmTyc/Pz1SpUiVTo0aNbvuZWW5RVktPWV1lfn43WS3qNTRo0KDE1y/Ka2kpq6vMz+80q+3atSvza5BbSjsXbDCZTKY7mZR/2OzZs4eWLVuSmpqKv79/RXfnofLpp58SERHB//73PypVqlTR3RELt2jRIvr166esVgBlVcpCWa1YyquUlrJasZRVKS1ltWIpq1IWymvFUValLEo7F6zLwojFysnJISsri0mTJvHmm2/qjU/EQimrItZDeRWxDsqqiHVQVkWsg7Iq95JuaCoWa8qUKTRt2hR3d3dGjRpV0d0RkWIoqyLWQ3kVsQ7Kqoh1UFZFrIOyKveSJtfFYo0dO5br16+zceNG3WxMxIIpqyLWQ3kVsQ7Kqoh1UFZFrIOyKveSJtdFRERERERERERERMpIk+siIiIiIiIiIiIiImWkyXURERERERERERERkTKyK23BEydO8NNPP93Lvli0zMxMABITE83/FhHLk5ycDCirIpZOWRWxDsqqiHVQVkWsh/IqYh2OHj1aqnIGk8lkKqnQiRMn8Pb2Jicn5647Zs1sbGzIy8ur6G6ISAkMNgZMeSW+tYlIBdO4KmIdlFUR66CsilgP/c0qYh0MNgaSv0qmTZs2xZYp1S/Xf/rpJ3JycoiPj8fb27vcOmhNEhMTGT169EO9D0SsQX5W+83ph5vRraK7IyLFyPgyg3UT1mlcFbFw+gwsYh2UVRHrob9ZRazDme/OEP9mPA4ODrctV+rLwgB4e3vj7+9/Vx2zVvmn6jzM+0DEGuRn1c3ohoevRwX3RkSKc+a7M4DGVRFLp8/AItZBWRWxHvqbVeTBohuaioiIiIiIiIiIiIiUkSbXRURERERERERERETKSJPrIiIiIiIiIiIiIiJlpMl1kWJs3rwZg8HAuXPnKrorFtUXkXtlSPUhfLP2m4ruBmBZfRF5kFjSeGZJfRGxNJaUD0vqi4ilsaR8WFJfRO4VS/o70ZL68rArl8n1gQMHYjAYmDRpUoHlq1evxmAwlEcT5W7lypU8++yz1KhRA4PBQFpaWkV3yeqV53Hg6enJ9OnTS10+JiYGW1tbpk6dWqZ2buepp54iKysLV1fXcqtT5EFxdNdRImpG8HGfj8utzujMaHyCfcqtPpEHgcZWEeugrIpYB2VV5OGhv1nlfim3X647OjoyefJksrOzy6tKAK5du1au9eX79ddfefrpp5k8efI9qf9hda+Og5LMmzePESNGMG/evHKrs1KlSri7u1vsF0QiFWln/E7avt6WwzsOcz7rfLnU6eLmgp2DXbnUJfIg0dgqYh2UVRHroKyKPBz0N6vcL+U2uR4cHIy7uzsxMTHFlhk7dix+fn4Flk2fPh1PT0/z84EDB/Liiy8yYcIE6tati5eXFwCzZs2iSZMmODo64ubmRq9evczb5OXlERMTQ8OGDalcuTK+vr4sX778tv3t378/Y8aMITg4uOwvVopVmuMAYMWKFTRr1gwHBwc8PT2ZNm2aeV379u05fvw4ERERGAyGEj8obNmyhcuXLxMdHc2FCxfYvn17gfX79u2jQ4cOODs74+LiQsuWLUlJSQHg+PHjdOvWjWrVquHk5ESzZs1ITEwEij6tbe7cuXh4ePDII4/Qo0cPYmNjqVq1qnl9/jH+6aef4unpiaurK3379uXixYvmMqU5XhMTEzEajVSuXJkOHTpw7Nix2+4Dkfvp6qWr7F29l8DXAvEJ8WHX4l3mdTnncvj0jU95t8m7RNaNZHyr8exctBOAG9dusHzEcsZ4j2F4neG89/h7bPjHBvO2vz+t7ejOo0wJmsLwOsOZ9sw0vln7DUOqD+Fk+kkADn11iCHVh/Ddlu+Y9sw0Ih+NZHqn6Zw5dKZAf9MT03m//fsMrzOccS3GsX7yenJv5JrX/3j4R2Z0ncHwOsOJeTKGg5sO3pP9JnKnNLZqbBXroKwqq2IdlFVlVR58+ptV7qdy+7rF1taWiRMn8qc//YnBgwdTr169O65r48aNuLi4sGHDzQM4JSWFwYMH8+mnn/LUU0/xyy+/sG3bNnP5mJgY4uPjmT17Nk2aNGHr1q3069ePWrVq0a5du7t+bVJ6pTkOUlNT6d27N2PHjqVPnz5s376dv/71r9SoUYOBAweycuVKfH19eeONN3j99ddLbDMuLo7Q0FDs7e0JDQ0lLi6Op556yrz+5ZdfpkWLFnz00UfY2tqSlpaGvb09AG+99RbXrl1j69atODk5kZGRQZUqVYpsJzk5mfDwcCZPnswLL7zAl19+yejRowuVO3z4MKtXryYhIYHs7Gx69+7NpEmTmDBhAlDy8frDDz/w0ksv8dZbb/HGG2+QkpLCsGHDSrX/Re6Hvav3UrtJbdyauNGqdytW/W0VwRHBGAwGEicmcvrgad5c9iZONZz46chPXL9yHYCtc7by7bpvGTBvANXqVePcqXNknyr6F0NXLlxh7p/m4hPiwysfv8IvP/zCqndXFVl27fi1dB/XnSo1qrBs2DKWDFrC2+vfBuDwjsMs+ssiXpr0Eo3aNOLnoz+zNGIpAJ3f6UxeXh7zXpmHc21nIjZEcOXCFVb9reh2RCqKxlaNrWIdlFVlVayDsqqsyoNPf7PK/VSu5zL06NEDPz8/oqKiiIuLu+N6nJyc+Ne//kWlSpWAm9dHd3Jy4vnnn8fZ2ZkGDRrQokULAK5evcrEiRP58ssvadOmDQCNGjXiq6++Ys6cOZpcrwAlHQexsbF07NjRPMgbjUYyMjKYOnUqAwcOpHr16tja2uLs7Iy7u/tt27pw4QLLly9nx44dAPTr14+2bdvyz3/+0/yB48SJE0RGRtK0aVMAmjRpYt7+xIkT9OzZk+bNmwM3j53izJw5ky5dujB8+HBzv7dv305CQkKBcnl5ecyfPx9nZ2fg5lkSGzduZMKECaU6Xj/66CMaN25s/mWEl5cX6enpuoSRWIyd8Ttp9cdWADTt2JTLFy7zffL3NHm6Cdkns3m0+aPUb1EfgBr1a5i3yz6VTa3GtWj0ZCMMBgPVPaoX20bqilQMBgN9pvfB3tEe96bunM86z9IhSwuV7fr3rjwW+BgAwUOC+bjPx1y/ch17R3u+mPIFHYd0JCA0AICanjV57m/PsWbsGjq/05nvNn/HmUNnCF8ejmsdV3N9c3rPKZ+dJVJONLZqbBXroKwqq2IdlFVlVR5s+ptV7qdyuyxMvsmTJ7NgwQIyMzPvuI7mzZubJ9YBQkJCaNCgAY0aNaJ///4sWrSInJwcAL7//ntycnIICQmhSpUq5sfChQs5fPjwXb8euTO3Ow4yMzMJDAwssCwwMJBDhw6Rm5tbqPztLF68mMaNG+Pr6wuAn58fDRo0YOnSW29mQ4cOJSwsjODgYCZNmlTguBg8eDDjx48nMDCQqKgovvmm+DstHzx4kICAgALLfv8cbt7YJv9DCkCdOnU4e/YsULrjNTMzkyeeeKJAnfkfakQq2plDZzi+5zj+Pf0BsLWzpUWPFuyMv3kaXeCrgexdtZcpQVNYE7WGozuPmrcNCA3gVPopJgZMZMXIFRxIOlBsO2cPnaVus7rYO9qblzVo2aDIsnWb1TX/28XNBYBLP10C4NS3p/jv1P8ywmOE+bF0yFIunL7AtZxrnPnuDNUerWb+kALgGeBZxr0icn9obNXYKtZBWVVWxTooq8qqPJj0N6vcb+U+uR4UFESnTp0YNWpU4cZsbDCZTAWWXb9+vVA5JyenAs+dnZ3Zs2cPixcvpk6dOowZMwZfX1/OnTvHpUs3D8a1a9eSlpZmfmRkZJR43XW5d253HJSnuLg49u/fj52dnfmRkZFR4CYxY8eOZf/+/XTt2pWkpCR8fHxYtermKTRhYWEcOXKE/v37k56eTqtWrZg5c+Zd9Sn/9L18BoOBvLw8AB2vYvV2xu8k70YeUT5RDK01lKG1hpI8L5l9n+/j8oXL+IT4ELUvivZ/ac/50+eZ1WMW/xn9HwA8fD0Ys3cMXUZ14frl68x/bT6fDPjkrvtkY/+boez/X+4yP3PXfr1G55GdidwSaX6M+GoE76a8i52jbkQj1kVj6y0aW8WSKau3KKtiyZTVW5RVeZDob1a53+7J/9KkSZPw8/Mz34w0X61atTh9+jQmk8l8w4+0tLRS1WlnZ0dwcDDBwcFERUVRtWpVkpKSCAkJwcHBgRMnTugSMBamuOPA29ub5OTkAsuSk5MxGo3Y2toCN+96XtIvAtLT00lJSWHz5s1Ur37rVJ1ffvmF9u3bc+DAAfNpdUajEaPRSEREBKGhoXzyySf06NEDAA8PD8LDwwkPD2fUqFHMnTuXQYMGFWrPy8uL3bt3F1j2++cl8fHxKfF49fb2Zs2aNQWWff3112VqR+ReyL2Ry+6lu+k+rjtNOzQtsC6ufxx7Vuwh8NVAqtSsQkBoAAGhASS3SWbNmDV0H9cdAEcXR/xf8sf/JX98X/Blzh/n8Gv2rzhVK/ilau0mtUn5dwo3rt4w3439xJ4TZe5zvcfrcfbQWWo1qlXkejejG9mnsjl/+jyu7jd/CXBs97EytyNyv2hsLUxjq1giZbUwZVUskbJamLIq1kx/s0pFuCeT682bN+fll19mxowZBZa3b9+eH3/8kSlTptCrVy/Wr1/PunXrcHFxuW19CQkJHDlyhKCgIKpVq0ZiYiJ5eXl4eXnh7OzM8OHDiYiIIC8vj6effprz58+TnJyMi4sLAwYMKLLOX375hRMnTvC///0PuHn6FIC7u3uJ10yT0inuOBg2bBitW7dm3Lhx9OnThx07dvDBBx8wa9YscxlPT0+2bt1K3759cXBwoGbNmoXqj4uLIyAggKCgoELrWrduTVxcHNHR0URGRtKrVy8aNmzIyZMn2b17Nz179gRgyJAhdOnSBaPRSHZ2Nps2bcLb27vI1zNo0CCCgoKIjY2lW7duJCUlsW7duhLvDP9bpTlew8PDmTZtGpGRkYSFhZGamsr8+fNL3YbIvbL/i/3knMvhyf5PUtmlcoF1j3d7nK/jv+Z81nk8/Dxwb+rOjas3yPgiAzejGwCbPtyEi7sL9ZrXw2BjYN9/9uHi5kJl18qF2mrZsyVrx69lacRSOr7dkeyT2SR9kARQpsw9G/ksc0PnUq1eNXxf8MVgY+B/3/6PrANZdH23K8b2Rmo3rs1nf/2MF6Jf4MrFKyROSLyLvSRyb2lsLUxjq1giZbUwZVUskbJamLIq1kx/s0pFKPfLwuSLjo42n+KQz9vbm1mzZvHhhx/i6+vLrl27zDfauJ2qVauycuVKnnnmGby9vZk9ezaLFy+mWbNmAIwbN47Ro0cTExODt7c3nTt3Zu3atTRs2LDYOtesWUOLFi3o2rUrAH379qVFixbMnj37Ll61/F5Rx4G/vz/Lli1jyZIl/OEPf2DMmDFER0czcODAAtsdO3aMxo0bU6tW4W/vrl27Rnx8vPkDx+/17NmThQsXYmNjw88//8wrr7yC0Wikd+/edOnShffeew+A3Nxc3nrrLfNxYzQaC3xg+q3AwEBmz55NbGwsvr6+rF+/noiICBwdHcu0T0o6XuvXr8+KFStYvXo1vr6+zJ49m4kTJ5apDZF7YWf8TrzaeRX6kALg282XH/b+gI2dDQnRCUxpO4WZz8/EYGtgQNzNLzkdqziSNCOJaR2nEdsxll9++IU3lr6BjU3hocjRxZHXP3udU+mnmNpuKokTEuk0ohOA+VcBpeHd0ZvXF7/OwU0HiQ2OZfqz09n80Waq17v5yyEbGxte+/Q1rl+5TmxwLEveXsJz7z53J7tH5L7R2FqYxlaxRMpqYcqqWCJltTBlVayV/maVimAw/f4i6EXYs2cPLVu2JDU1FX9///vRL4uzaNEi+vXr91DvAyns9ddf58CBA2zbtq2iuyL/X35Wh20ahoevR0V3R8pRyr9TWPx/i4k5FkOlypVK3kAsWsq/U4h/M17jqhSisdWy6DOwFEdZtSzKqhRHWbU8+pv1waW/WR8sP+z7gWkdppU4turK+CJl8P777xMSEoKTkxPr1q1jwYIFxf5qQETuzq4lu6jpWRPXOq6c+vYUn4/9HL8X/fQhReQBo7FVxDooqyLWQVkVuX/0N6uAJtdFymTXrl1MmTKFixcv0qhRI2bMmEFYWFhFd0vkgXTx7EXWxazj4tmLuLi54Nfdj65/71rR3RKRcqaxVcQ6KKsi1kFZFbl/9DergCbXRcpk2bJlFd0FkYdGx8Ed6Ti4Y0V3Q0TuMY2tItZBWRWxDsqqyP2jv1kF7uENTUVEREREREREREREHlSaXBcRERERERERERERKSNNrouIiIiIiIiIiIiIlFGZrrmemJhIZmbmveqLRUtOTgYe7n0gYg3ys5rxZQZnvjtTwb0RkeIc2XkE0LgqYun0GVjEOiirItZDf7OKWIefT/xcqnIGk8lkKqnQjh07aNu2Lbm5uXfdMWtmY2NDXl5eRXdDREpgsDFgyivxrU1EKpjGVRHroHFVxDpoXBWxHsqriHWwsbXhq21f0aZNm2LLlOqX6w4ODuTm5hIfH4+3t3e5ddCaJCYmMnr06Id6H4hYg/ys9pvTDzejW0V3R0SKkfFlBusmrNO4KmLhNK6KWAeNqyLWQ/NLItYhMzOTfv364eDgcNtyZbosjLe3N/7+/nfVMWuVf2rdw7wPRKxBflbdjG54+HpUcG9EpDj5p8BqXBWxbBpXRayDxlUR66H5JZEHi25oKiIiIiIiIiIiIiJSRppcFxEREREREREREREpI02ui4iIiIiIiIiIiIiUkSbXRURERERERERERETKSJPrIsXYvHkzBoOBc+fOVXRXLKovIvfKkOpD+GbtNxXdDcCy+iLyILGk8cyS+iJyL1jSWGZJfRF5kFjSWGZJfRGxNJaUD0vqy4OiXCbXBw4ciMFgYNKkSQWWr169GoPBUB5NlKvr16/zzjvv0Lx5c5ycnKhbty6vvPIK//vf/yq6a1atPI8DT09Ppk+fXuryMTEx2NraMnXq1DK1cztPPfUUWVlZuLq6lludIg+Ko7uOElEzgo/7fFxudUZnRuMT7FNu9Yk8CDS2ijwcNK6K3B8aV0Wsg7Iq1qTcfrnu6OjI5MmTyc7OLq8qAbh27Vq51geQk5PDnj17GD16NHv27GHlypUcPHiQF154odzbetjcq+OgJPPmzWPEiBHMmzev3OqsVKkS7u7uFvkFkUhF2xm/k7avt+XwjsOczzpfLnW6uLlg52BXLnWJPEg0too8+DSuitw/GldFrIOyKtai3CbXg4ODcXd3JyYmptgyY8eOxc/Pr8Cy6dOn4+npaX4+cOBAXnzxRSZMmEDdunXx8vICYNasWTRp0gRHR0fc3Nzo1auXeZu8vDxiYmJo2LAhlStXxtfXl+XLlxfbD1dXVzZs2EDv3r3x8vLiySef5IMPPiA1NZUTJ07c2Q4QoHTHAcCKFSto1qwZDg4OeHp6Mm3aNPO69u3bc/z4cSIiIjAYDCW++WzZsoXLly8THR3NhQsX2L59e4H1+/bto0OHDjg7O+Pi4kLLli1JSUkB4Pjx43Tr1o1q1arh5OREs2bNSExMBIo+VWbu3Ll4eHjwyCOP0KNHD2JjY6latap5ff4x/umnn+Lp6Ymrqyt9+/bl4sWL5jKlOV4TExMxGo1UrlyZDh06cOzYsdvuA5H76eqlq+xdvZfA1wLxCfFh1+Jd5nU553L49I1PebfJu0TWjWR8q/HsXLQTgBvXbrB8xHLGeI9heJ3hvPf4e2z4xwbztr8/ZfzozqNMCZrC8DrDmfbMNL5Z+w1Dqg/hZPpJAA59dYgh1Yfw3ZbvmPbMNCIfjWR6p+mcOXSmQH/TE9N5v/37DK8znHEtxrF+8npyb+Sa1/94+EdmdJ3B8DrDiXkyhoObDt6T/SZypzS2amyVB5vGVZH7S+OqxlWxDsqqsmotyu2nDLa2tkycOJE//elPDB48mHr16t1xXRs3bsTFxYUNG25+OExJSWHw4MF8+umnPPXUU/zyyy9s27bNXD4mJob4+Hhmz55NkyZN2Lp1K/369aNWrVq0a9euVG2eP38eg8FQ4ECWsivNcZCamkrv3r0ZO3Ysffr0Yfv27fz1r3+lRo0aDBw4kJUrV+Lr68sbb7zB66+/XmKbcXFxhIaGYm9vT2hoKHFxcTz11FPm9S+//DItWrTgo48+wtbWlrS0NOzt7QF46623uHbtGlu3bsXJyYmMjAyqVKlSZDvJycmEh4czefJkXnjhBb788ktGjx5dqNzhw4dZvXo1CQkJZGdn07t3byZNmsSECROAko/XH374gZdeeom33nqLN954g5SUFIYNG1aq/S9yP+xdvZfaTWrj1sSNVr1bsepvqwiOCMZgMJA4MZHTB0/z5rI3carhxE9HfuL6lesAbJ2zlW/XfcuAeQOoVq8a506dI/tU0b9CuHLhCnP/NBefEB9e+fgVfvnhF1a9u6rIsmvHr6X7uO5UqVGFZcOWsWTQEt5e/zYAh3ccZtFfFvHSpJdo1KYRPx/9maURSwHo/E5n8vLymPfKPJxrOxOxIYIrF66w6m9FtyNSUTS2amyVB5vGVZH7S+OqxlWxDsqqsmotyvU8wR49euDn50dUVBRxcXF3XI+TkxP/+te/qFSpEgArV67EycmJ559/HmdnZxo0aECLFi0AuHr1KhMnTuTLL7+kTZs2ADRq1IivvvqKOXPmlGpy/cqVK7zzzjuEhobi4uJyx/2Wm0o6DmJjY+nYsaP5jcNoNJKRkcHUqVMZOHAg1atXx9bWFmdnZ9zd3W/b1oULF1i+fDk7duwAoF+/frRt25Z//vOf5jexEydOEBkZSdOmTQFo0qSJefsTJ07Qs2dPmjdvDtw8doozc+ZMunTpwvDhw8393r59OwkJCQXK5eXlMX/+fJydnQHo378/GzduZMKECaU6Xj/66CMaN25s/rbVy8uL9PR0Jk+efNt9IXK/7IzfSas/tgKgacemXL5wme+Tv6fJ003IPpnNo80fpX6L+gDUqF/DvF32qWxqNa5FoycbYTAYqO5Rvdg2UlekYjAY6DO9D/aO9rg3ded81nmWDllaqGzXv3flscDHAAgeEszHfT7m+pXr2Dva88WUL+g4pCMBoQEA1PSsyXN/e441Y9fQ+Z3OfLf5O84cOkP48nBc67ia65vTe0757CyRcqKxVWOrPLg0rorcfxpXNa6KdVBWlVVrUG6Xhck3efJkFixYQGZm5h3X0bx5c/PEOkBISAgNGjSgUaNG9O/fn0WLFpGTkwPA999/T05ODiEhIVSpUsX8WLhwIYcPHy6xrevXr9O7d29MJhMfffTRHfdZCrrdcZCZmUlgYGCBZYGBgRw6dIjc3NxC5W9n8eLFNG7cGF9fXwD8/Pxo0KABS5fe+kNh6NChhIWFERwczKRJkwocF4MHD2b8+PEEBgYSFRXFN998U6iNfAcPHiQgIKDAst8/h5s3y8h/4wOoU6cOZ8+eBUp3vGZmZvLEE08UqDP/jVKkop05dIbje47j39MfAFs7W1r0aMHO+JunqAe+GsjeVXuZEjSFNVFrOLrzqHnbgNAATqWfYmLARFaMXMGBpAPFtnP20FnqNquLvaO9eVmDlg2KLFu3WV3zv13cbn5BeumnSwCc+vYU/536X0Z4jDA/lg5ZyoXTF7iWc40z352h2qPVzBMAAJ4BnmXcKyL3h8ZWja3y4NG4KlJxNK5qXBXroKwqq5au3CfXg4KC6NSpE6NGjSrcmI0NJpOpwLLr168XKufk5FTgubOzM3v27GHx4sXUqVOHMWPG4Ovry7lz57h06eYHvbVr15KWlmZ+ZGRk3Pa66/lt9+7dm+PHj7Nhwwb9ar0c3e44KE9xcXHs378fOzs78yMjI6PAjSfGjh3L/v376dq1K0lJSfj4+LBq1c3TU8PCwjhy5Aj9+/cnPT2dVq1aMXPmzLvqU/4pQfkMBgN5eXkAd3W8iliCnfE7ybuRR5RPFENrDWVoraEkz0tm3+f7uHzhMj4hPkTti6L9X9pz/vR5ZvWYxX9G/wcAD18PxuwdQ5dRXbh++TrzX5vPJwM+ues+2dj/Zij7/5fQy8/ctV+v0XlkZyK3RJofI74awbsp72LnqJu8iXXR2HqLxlZ5UGhcFak4Gldv0bgqlkxZvUVZtUz35BPQpEmT8PPzM9+MNF+tWrU4ffo0JpPJfBOBtLS0UtVpZ2dHcHAwwcHBREVFUbVqVZKSkggJCcHBwYETJ06U+vrqcGti/dChQ2zatIkaNWqUvJGUSXHHgbe3N8nJyQWWJScnYzQasbW1BW7eSbmkbxnT09NJSUlh8+bNVK9+6zTYX375hfbt23PgwAHzqTpGoxGj0UhERAShoaF88skn9OjRAwAPDw/Cw8MJDw9n1KhRzJ07l0GDBhVqz8vLi927dxdY9vvnJfHx8SnxePX29mbNmjUFln399ddlakfkXsi9kcvupbvpPq47TTs0LbAurn8ce1bsIfDVQKrUrEJAaAABoQEkt0lmzZg1dB/XHQBHF0f8X/LH/yV/fF/wZc4f5/Br9q84VSv4pWrtJrVJ+XcKN67ewM7h5lB1Yk/Zbzhd7/F6nD10llqNahW53s3oRvapbM6fPo+r+81f2R3bfazM7YjcLxpbC9PYKtZK46pIxdO4WpjGVbFEymphyqrluCeT682bN+fll19mxowZBZa3b9+eH3/8kSlTptCrVy/Wr1/PunXrSvzFeEJCAkeOHCEoKIhq1aqRmJhIXl4eXl5eODs7M3z4cCIiIsjLy+Ppp5/m/PnzJCcn4+LiwoABAwrVd/36dXr16sWePXtISEggNzeX06dPA1C9evUCl6SRO1fccTBs2DBat27NuHHj6NOnDzt27OCDDz5g1qxZ5jKenp5s3bqVvn374uDgQM2aNQvVHxcXR0BAAEFBQYXWtW7dmri4OKKjo4mMjKRXr140bNiQkydPsnv3bnr27AnAkCFD6NKlC0ajkezsbDZt2oS3t3eRr2fQoEEEBQURGxtLt27dSEpKYt26dSXebfq3SnO8hoeHM23aNCIjIwkLCyM1NZX58+eXug2Re2X/F/vJOZfDk/2fpLJL5QLrHu/2OF/Hf835rPN4+Hng3tSdG1dvkPFFBm5GNwA2fbgJF3cX6jWvh8HGwL7/7MPFzYXKrpULtdWyZ0vWjl/L0oildHy7I9kns0n6IAmgTJl7NvJZ5obOpVq9avi+4IvBxsD/vv0fWQey6PpuV4ztjdRuXJvP/voZL0S/wJWLV0ickHgXe0nk3tLYWpjGVrFWGldFKp7G1cI0roolUlYLU1YtR7lfFiZfdHS0+VSFfN7e3syaNYsPP/wQX19fdu3aZb54/+1UrVqVlStX8swzz+Dt7c3s2bNZvHgxzZo1A2DcuHGMHj2amJgYvL296dy5M2vXrqVhw4ZF1nfq1CnWrFnDyZMn8fPzo06dOubH9u3b7/7Fi1lRx4G/vz/Lli1jyZIl/OEPf2DMmDFER0czcODAAtsdO3aMxo0bU6tW4V/GXLt2jfj4ePOb2O/17NmThQsXYmNjw88//8wrr7yC0Wikd+/edOnShffeew+A3Nxc3nrrLfNxYzQaC7wJ/1ZgYCCzZ88mNjYWX19f1q9fT0REBI6OjmXaJyUdr/Xr12fFihWsXr0aX19fZs+ezcSJE8vUhsi9sDN+J17tvApNAAD4dvPlh70/YGNnQ0J0AlPaTmHm8zMx2BoYEHfzS07HKo4kzUhiWsdpxHaM5ZcffuGNpW9gY1N4KHJ0ceT1z17nVPopprabSuKERDqN6ARg/sVdaXh39Ob1xa9zcNNBYoNjmf7sdDZ/tJnq9W7+GsHGxobXPn2N61euExscy5K3l/Dcu8/dye4RuW80thamsVWskcZVEcugcbUwjatiiZTVwpRVy2Aw/f4i6EXYs2cPLVu2JDU1FX9///vRL4uzaNEi+vXr91DvAyns9ddf58CBA2zbtq2iuyL/X35Wh20ahoevR0V3R8pRyr9TWPx/i4k5FkOlyjrDyNql/DuF+DfjNa5KIRpbLYvG1QeXxtUHi8ZVKY7GVcuj+SUpirJqeUo7H667zoiUwfvvv09ISAhOTk6sW7eOBQsWFPtNpIjcnV1LdlHTsyaudVw59e0pPh/7OX4v+mkCQOQBo7FV5P7QuCrycNC4KmIdlNUHhybXRcpg165dTJkyhYsXL9KoUSNmzJhBWFhYRXdL5IF08exF1sWs4+LZi7i4ueDX3Y+uf+9a0d0SkXKmsVXk/tC4KvJw0LgqYh2U1QeHJtdFymDZsmUV3QWRh0bHwR3pOLhjRXdDRO4xja0i94fGVZGHg8ZVEeugrD447tkNTUVEREREREREREREHlSaXBcRERERERERERERKSNNrouIiIiIiIiIiIiIlFGZrrmemJhIZmbmveqLRUtOTgYe7n0gYg3ys5rxZQZnvjtTwb0RkeIc2XkE0LgqYuk0ropYB42rItZD80si1uHo0aOlKmcwmUymkgrt2LGDtm3bkpube9cds2YGGwOmvBJ3l4hUMBsbG/Ly8iq6GyJSAmVVxDooqyLWQVkVsR7Kq4h1sLW1Zdu2bbRp06bYMqX65bqDgwO5ubnEx8fj7e1dbh20JomJiYwePZp+c/rhZnSr6O6ISDEyvsxg3YR1D/X7lYg1yB9XlVURy6asilgHZVXEeiivItYhMzOTfv364eDgcNtyZbosjLe3N/7+/nfVMWuVf6qOm9END1+PCu6NiBQn/5T1h/n9SsQa5I+ryqqIZVNWRayDsipiPZRXkQeLbmgqIiIiIiIiIiIiIlJGmlwXERERERERERERESkjTa6LiIiIiIiIiIiIiJSRJtflgTek+hC+WftNRXcDsKy+iDxINm/ejMFg4Ny5cxXdFYvqi4ilsaR8WFJfRCyNJeXDkvoiYmksKR+W1BcRS2NJ+bCkvjwoymVyfeDAgRgMBiZNmlRg+erVqzEYDOXRRLkbO3YsTZs2xcnJiWrVqhEcHMzOnTsrulsPvaO7jhJRM4KP+3xcbnVGZ0bjE+xTbvWJPAjK833b09OT6dOnl7p8TEwMtra2TJ06tUzt3M5TTz1FVlYWrq6u5VaniCVQVkWsg7IqYh2UVRHroKyKNSm3X647OjoyefJksrOzy6tKAK5du1au9eUzGo188MEHpKen89VXX+Hp6cmzzz7Ljz/+eE/ak9LZGb+Ttq+35fCOw5zPOl8udbq4uWDnYFcudYk8SO7V+3ZJ5s2bx4gRI5g3b1651VmpUiXc3d0t9gtdkbuhrIpYB2VVxDooqyLWQVkVa1Fuk+vBwcG4u7sTExNTbJmxY8fi5+dXYNn06dPx9PQ0Px84cCAvvvgiEyZMoG7dunh5eQEwa9YsmjRpgqOjI25ubvTq1cu8TV5eHjExMTRs2JDKlSvj6+vL8uXLb9vfP/3pTwQHB9OoUSOaNWtGbGwsFy5c4JtvdMmOinL10lX2rt5L4GuB+IT4sGvxLvO6nHM5fPrGp7zb5F0i60YyvtV4di66eabBjWs3WD5iOWO8xzC8znDee/w9Nvxjg3nb31+K5ejOo0wJmsLwOsOZ9sw0vln7DUOqD+Fk+kkADn11iCHVh/Ddlu+Y9sw0Ih+NZHqn6Zw5dKZAf9MT03m//fsMrzOccS3GsX7yenJv5JrX/3j4R2Z0ncHwOsOJeTKGg5sO3pP9JnKnSvO+DbBixQqaNWuGg4MDnp6eTJs2zbyuffv2HD9+nIiICAwGQ4kfFrZs2cLly5eJjo7mwoULbN++vcD6ffv20aFDB5ydnXFxcaFly5akpKQAcPz4cbp160a1atVwcnKiWbNmJCYmAkWf2jZ37lw8PDx45JFH6NGjB7GxsVStWtW8Pn9M+vTTT/H09MTV1ZW+ffty8eJFc5nSjC+JiYkYjUYqV65Mhw4dOHbs2G33gUhZKavKqlgHZVVZFeugrCqrYh2UVWXVWpTb5LqtrS0TJ05k5syZnDx58q7q2rhxIwcPHmTDhg0kJCSQkpLC4MGDiY6O5uDBg6xfv56goCBz+ZiYGBYuXMjs2bPZv38/ERER9OvXjy1btpSqvWvXrvHxxx/j6uqKr6/vXfVd7tze1Xup3aQ2bk3caNW7FTsX7cRkMgGQODGR0wdP8+ayNxn59Uj++P4fcarhBMDWOVv5dt23DJg3gL/t+hv9P+5P9frVi2zjyoUrzP3TXOr61GX4puF0GdWFz9/7vMiya8evpfu47gzbOAwbOxuWDFpiXnd4x2EW/WURQW8GMXLHSHrH9mbX4l1smHZzUj8vL495r8zDrpIdERsi6B3bu9h2RCpKad63U1NT6d27N3379iU9PZ2xY8cyevRo5s+fD8DKlSupV68e0dHRZGVlkZWVdds24+LiCA0Nxd7entDQUOLi4gqsf/nll6lXrx67d+8mNTWVkSNHYm9vD8Bbb73F1atX2bp1K+np6UyePJkqVaoU2U5ycjLh4eG8/fbbpKWlERISwoQJEwqVO3z4MKtXryYhIYGEhAS2bNlS4NTDksaXH374gZdeeolu3bqRlpZGWFgYI0eOvO0+ECkrZVVZFeugrCqrYh2UVWVVrIOyqqxai3K9VkaPHj3w8/MjKiqq0AFYFk5OTvzrX/+iUqVKwM0wODk58fzzz+Ps7EyDBg1o0aIFAFevXmXixIl8+eWXtGnTBoBGjRrx1VdfMWfOHNq1a1dsOwkJCfTt25ecnBzq1KnDhg0bqFmz5h33W+7OzvidtPpjKwCadmzK5QuX+T75e5o83YTsk9k82vxR6reoD0CN+jXM22WfyqZW41o0erIRBoOB6h5FT6wDpK5IxWAw0Gd6H+wd7XFv6s75rPMsHbK0UNmuf+/KY4GPARA8JJiP+3zM9SvXsXe054spX9BxSEcCQgMAqOlZk+f+9hxrxq6h8zud+W7zd5w5dIbw5eG41nE11zen95zy2Vki5aSk9+3Y2Fg6duzI6NGjgZuX1MrIyGDq1KkMHDiQ6tWrY2tri7OzM+7u7rdt68KFCyxfvpwdO3YA0K9fP9q2bcs///lP84eOEydOEBkZSdOmTQFo0qSJefsTJ07Qs2dPmjdvDtx8ry/OzJkz6dKlC8OHDzf3e/v27SQkJBQol5eXx/z583F2dgagf//+bNy4kQkTJpRqfPnoo49o3Lix+dcRXl5e5g9SIuVJWVVWxTooq8qqWAdlVVkV66CsKqvWoNx+uZ5v8uTJLFiwgMzMzDuuo3nz5uaJdYCQkBAaNGhAo0aN6N+/P4sWLSInJweA77//npycHEJCQqhSpYr5sXDhQg4fPnzbdjp06EBaWhrbt2+nc+fO9O7dm7Nnz95xv+XOnTl0huN7juPf0x8AWztbWvRowc74m5d+CXw1kL2r9jIlaAprotZwdOdR87YBoQGcSj/FxICJrBi5ggNJB4pt5+yhs9RtVhd7R3vzsgYtGxRZtm6zuuZ/u7i5AHDpp0sAnPr2FP+d+l9GeIwwP5YOWcqF0xe4lnONM9+dodqj1cwT6wCeAZ5l3Csi98ft3rczMzMJDAwssCwwMJBDhw6Rm5tbqPztLF68mMaNG5vPEPLz86NBgwYsXXrry62hQ4cSFhZGcHAwkyZNKvA+PnjwYMaPH09gYCBRUVG3vYzXwYMHCQgIKLDs98/h5s1t8j+oANSpU8c8DpRmfMnMzOSJJ54oUGf+BxuR8qasKqtiHZRVZVWsg7KqrIp1UFaVVUtX7pPrQUFBdOrUiVGjRhVuzMbGfJmPfNevXy9UzsnJqcBzZ2dn9uzZw+LFi6lTpw5jxozB19eXc+fOcenSzcnOtWvXkpaWZn5kZGSUeN11JycnHnvsMZ588kni4uKws7O7q1/cy53bGb+TvBt5RPlEMbTWUIbWGkryvGT2fb6Pyxcu4xPiQ9S+KNr/pT3nT59nVo9Z/Gf0fwDw8PVgzN4xdBnVheuXrzP/tfl8MuCTu+6Tjf1v4vH/L8uVl5cHwLVfr9F5ZGcit0SaHyO+GsG7Ke9i56ibp4p1ud37dnmKi4tj//792NnZmR8ZGRkFbhQzduxY9u/fT9euXUlKSsLHx4dVq1YBEBYWxpEjR+jfvz/p6em0atWKmTNn3lWf8k/hy2cwGMw5v5vxReReUFZvUVbFkimrtyirYsmU1VuUVbFkyuotyqpluiezgJMmTcLPz898M9J8tWrV4vTp05hMJvNNBNLS0kpVp52dHcHBwQQHBxMVFUXVqlVJSkoiJCQEBwcHTpw4cdtLwJRGXl4eV69evas6pOxyb+Sye+luuo/rTtMOTQusi+sfx54Vewh8NZAqNasQEBpAQGgAyW2SWTNmDd3HdQfA0cUR/5f88X/JH98XfJnzxzn8mv0rTtUKflFTu0ltUv6dwo2rN7BzuHn4n9hzosx9rvd4Pc4eOkutRrWKXO9mdCP7VDbnT5/H1f3mr9eP7T5W5nZE7pfi3re9vb1JTk4usCw5ORmj0YitrS1w887nJf0qID09nZSUFDZv3kz16rcu3fTLL7/Qvn17Dhw4YD61zmg0YjQaiYiIIDQ0lE8++YQePXoA4OHhQXh4OOHh4YwaNYq5c+cyaNCgQu15eXmxe/fuAst+/7wkPj4+JY4v3t7erFmzpsCyr7/+ukztiJSFslqYsiqWSFktTFkVS6SsFqasiiVSVgtTVi3HPZlcb968OS+//DIzZswosLx9+/b8+OOPTJkyhV69erF+/XrWrVuHi4vLbetLSEjgyJEjBAUFUa1aNRITE8nLy8PLywtnZ2eGDx9OREQEeXl5PP3005w/f57k5GRcXFwYMGBAofp+/fVXJkyYwAsvvECdOnX46aef+PDDDzl16hR//OMfy3VfSMn2f7GfnHM5PNn/SSq7VC6w7vFuj/N1/NeczzqPh58H7k3duXH1BhlfZOBmdANg04ebcHF3oV7zehhsDOz7zz5c3Fyo7Fq5UFste7Zk7fi1LI1YSse3O5J9MpukD5IASrxr9G89G/ksc0PnUq1eNXxf8MVgY+B/3/6PrANZdH23K8b2Rmo3rs1nf/2MF6Jf4MrFKyROSLyLvSRybxX3vj1s2DBat27NuHHj6NOnDzt27OCDDz5g1qxZ5jKenp5s3bqVvn374uDgUOS9K+Li4ggICChwM+p8rVu3Ji4ujujoaCIjI+nVqxcNGzbk5MmT7N69m549ewIwZMgQunTpgtFoJDs7m02bNuHt7V3k6xk0aBBBQUHExsbSrVs3kpKSWLduXZlyXprxJTw8nGnTphEZGUlYWBipqanmm+eI3AvKamHKqlgiZbUwZVUskbJamLIqlkhZLUxZtRzlflmYfNHR0eZTFfJ5e3sza9YsPvzwQ3x9fdm1a5f54v23U7VqVVauXMkzzzyDt7c3s2fPZvHixTRr1gyAcePGMXr0aGJiYvD29qZz586sXbuWhg0bFlmfra0tBw4coGfPnhiNRrp168bPP//Mtm3bzHXK/bMzfide7bwKTawD+Hbz5Ye9P2BjZ0NCdAJT2k5h5vMzMdgaGBB384sTxyqOJM1IYlrHacR2jOWXH37hjaVvYGNT+PB2dHHk9c9e51T6Kaa2m0rihEQ6jegEYP4le2l4d/Tm9cWvc3DTQWKDY5n+7HQ2f7SZ6vVufsNpY2PDa5++xvUr14kNjmXJ20t47t3n7mT3iNw3Rb1v+/v7s2zZMpYsWcIf/vAHxowZQ3R0NAMHDiyw3bFjx2jcuDG1ahU+m+PatWvEx8ebP3T8Xs+ePVm4cCE2Njb8/PPPvPLKKxiNRnr37k2XLl147733AMjNzeWtt94yv88bjcYCH5p+KzAwkNmzZxMbG4uvry/r168nIiICR0fHMu2TksaX+vXrs2LFClavXo2vry+zZ89m4sSJZWpDpKyU1cKUVbFEymphyqpYImW1MGVVLJGyWpiyahkMpt9fBL0Ie/bsoWXLlqSmpuLv738/+mVxFi1aRL9+/Ri2aRgevh4V3R0pRyn/TmHx/y0m5lgMlSpXKnkDsWgp/04h/s34h/r9Sor2+uuvc+DAAbZt21bRXRFujavKqvyesmpZlFUpjrJqWZRVKY6yanmUVymKsmp5SjsfrjsvykNn15Jd1PSsiWsdV059e4rPx36O34t+mlgXecC8//77hISE4OTkxLp161iwYEGxvxwQkYqjrIpYB2VVxDooqyLWQVl9cGhyXR46F89eZF3MOi6evYiLmwt+3f3o+veuFd0tESlnu3btYsqUKVy8eJFGjRoxY8YMwsLCKrpbIvI7yqqIdVBWRayDsipiHZTVB4cm1+Wh03FwRzoO7ljR3RCRe2zZsmUV3QURKQVlVcQ6KKsi1kFZFbEOyuqD457d0FRERERERERERERE5EGlyXURERERERERERERkTLS5LqIiIiIiIiIiIiISBmV6ZrriYmJZGZm3qu+WLTk5GQAMr7M4Mx3Zyq4NyJSnCM7jwAP9/uViDXIH1eVVRHLpqyKWAdlVcR6KK8i1uHo0aOlKmcwmUymkgrt2LGDtm3bkpube9cds2Y2Njbk5eVVdDdEpATKqoh1UFZFrIOyKmIdlFUR66G8ilgHW1tbtm3bRps2bYotU6pfrjs4OJCbm0t8fDze3t7l1kFrkpiYyOjRox/qfSBiDZRVEeugrIpYB2VVxDooqyLWQ3kVsQ6ZmZn069cPBweH25Yr02VhvL298ff3v6uOWav8U3Ue5n0gYg2UVRHroKyKWAdlVcQ6KKsi1kN5FXmw6IamIiIiIiIiIiIiIiJlpMl1EREREREREREREZEy0uS6iIiIiIiIiIiIiEgZaXJdRERERERERERERKSMNLkuUozNmzdjMBg4d+5cRXfFovoiYoksKSOW1BcRS2NJ+bCkvohYGkvKhyX1RcTSWFI+LKkvIpbGkvJhSX15UJTL5PrAgQMxGAxMmjSpwPLVq1djMBjKo4l7Kjw8HIPBwPTp0yu6K1atPI8DT0/PMv1/xMTEYGtry9SpU8vUzu089dRTZGVl4erqWm51ilgK5VXEOiirItZBWRWxDsqqiHVQVsWalNsv1x0dHZk8eTLZ2dnlVSUA165dK9f6fm/VqlV8/fXX1K1b956287C4V8dBSebNm8eIESOYN29eudVZqVIl3N3dreILIpE7obyKWAdlVcQ6KKsi1kFZFbEOyqpYi3KbXA8ODsbd3Z2YmJhiy4wdOxY/P78Cy6ZPn46np6f5+cCBA3nxxReZMGECdevWxcvLC4BZs2bRpEkTHB0dcXNzo1evXuZt8vLyiImJoWHDhlSuXBlfX1+WL19eYp9PnTrFoEGDWLRoEfb29mV7wVKk0hwHACtWrKBZs2Y4ODjg6enJtGnTzOvat2/P8ePHiYiIwGAwlPjms2XLFi5fvkx0dDQXLlxg+/btBdbv27ePDh064OzsjIuLCy1btiQlJQWA48eP061bN6pVq4aTkxPNmjUjMTERKPpUmblz5+Lh4cEjjzxCjx49iI2NpWrVqub1+cf4p59+iqenJ66urvTt25eLFy+ay5TmeE1MTMRoNFK5cmU6dOjAsWPHbrsPRO6E8qq8inVQVpVVsQ7KqrIq1kFZVVbFOiiryqq1KLfJdVtbWyZOnMjMmTM5efLkXdW1ceNGDh48yIYNG0hISCAlJYXBgwcTHR3NwYMHWb9+PUFBQebyMTExLFy4kNmzZ7N//34iIiLo168fW7ZsKbaNvLw8+vfvT2RkJM2aNbur/sotpTkOUlNT6d27N3379iU9PZ2xY8cyevRo5s+fD8DKlSupV68e0dHRZGVlkZWVdds24+LiCA0Nxd7entDQUOLi4gqsf/nll6lXrx67d+8mNTWVkSNHmr9Meeutt7h69Spbt24lPT2dyZMnU6VKlSLbSU5OJjw8nLfffpu0tDRCQkKYMGFCoXKHDx9m9erVJCQkkJCQwJYtWwqcylTS8frDDz/w0ksv0a1bN9LS0ggLC2PkyJG33Qcid0J5VV7FOiiryqpYB2VVWRXroKwqq2IdlFVl1WqYSiE1NdUEmFJTU4tcP2DAAFP37t1NJpPJ9OSTT5pee+01k8lkMq1atcr02yaioqJMvr6+Bbb9xz/+YWrQoEGButzc3ExXr141L1uxYoXJxcXFdOHChUJtX7lyxfTII4+Ytm/fXmD5n//8Z1NoaGixr2nixImmkJAQU15enslkMpkaNGhg+sc//lFs+fj4+NvuAyn9cfCnP/3JFBISUmDbyMhIk4+Pj/l5Sf8f+c6fP2+qXLmyKS0tzWQymUx79+41ValSxXTx4kVzGWdnZ9P8+fOL3L558+amsWPHFrlu06ZNJsCUnZ1tMplMpj59+pi6du1aoMzLL79scnV1NT+PiooyPfLIIwWO1cjISNMTTzxhMplKd7yOGjWqwL4wmUymd955p0BfpHjKaukor8prRVNWS0dZVVYrmrJaOsqqslrRlNXSUVaVVUugvJZMWVVWLUFJ8+H5yu2X6/kmT57MggULyMzMvOM6mjdvTqVKlczPQ0JCaNCgAY0aNaJ///4sWrSInJwcAL7//ntycnIICQmhSpUq5sfChQs5fPhwkfWnpqbyz3/+k/nz5+t6R/fI7Y6DzMxMAgMDCywLDAzk0KFD5ObmlqmdxYsX07hxY3x9fQHw8/OjQYMGLF261Fxm6NChhIWFERwczKRJkwocF4MHD2b8+PEEBgYSFRXFN998U2xbBw8eJCAgoMCy3z+HmzfLcHZ2Nj+vU6cOZ8+eBUp3vGZmZvLEE08UqLNNmzal3SUiZaa8Kq9iHZRVZVWsg7KqrIp1UFaVVbEOyqqyaunKfXI9KCiITp06MWrUqMKN2dhgMpkKLLt+/Xqhck5OTgWeOzs7s2fPHhYvXkydOnUYM2YMvr6+nDt3jkuXLgGwdu1a0tLSzI+MjIxir7u+bds2zp49S/369bGzs8POzo7jx48zbNiwAtd/lzt3u+OgPMXFxbF//37z/6OdnR0ZGRkFbjwxduxY9u/fT9euXUlKSsLHx4dVq1YBEBYWxpEjR+jfvz/p6em0atWKmTNn3lWffn/9foPBQF5eHsAdHa8i95ryeovyKpZMWb1FWRVLpqzeoqyKJVNWb1FWxZIpq7coq5bJ7l5UOmnSJPz8/Mw3I81Xq1YtTp8+jclkMv9iPC0trVR12tnZERwcTHBwMFFRUVStWpWkpCRCQkJwcHDgxIkTtGvXrlR19e/fn+Dg4ALLOnXqRP/+/Xn11VdLVYeUrLjjwNvbm+Tk5ALLkpOTMRqN2NraAjfvpFzSt4zp6emkpKSwefNmqlevbl7+yy+/0L59ew4cOEDTpk0BMBqNGI1GIiIiCA0N5ZNPPqFHjx4AeHh4EB4eTnh4OKNGjWLu3LkMGjSoUHteXl7s3r27wLLfPy+Jj49Picert7c3a9asKbDs66+/LlM7ImWlvBamvIolUlYLU1bFEimrhSmrYomU1cKUVbFEymphyqrluCeT682bN+fll19mxowZBZa3b9+eH3/8kSlTptCrVy/Wr1/PunXrcHFxuW19CQkJHDlyhKCgIKpVq0ZiYiJ5eXl4eXnh7OzM8OHDiYiIIC8vj6effprz58+TnJyMi4sLAwYMKFRfjRo1qFGjRoFl9vb2uLu7Fwqq3LnijoNhw4bRunVrxo0bR58+fdixYwcffPABs2bNMpfx9PRk69at9O3bFwcHB2rWrFmo/ri4OAICAgrc3DZf69atiYuLIzo6msjISHr16kXDhg05efIku3fvpmfPngAMGTKELl26YDQayc7OZtOmTXh7exf5egYNGkRQUBCxsbF069aNpKQk1q1bV6ZLC5XmeA0PD2fatGlERkYSFhZGamqq+WYcIveK8lqY8iqWSFktTFkVS6SsFqasiiVSVgtTVsUSKauFKasWpDwu4P7bGw3kO3r0qKlSpUqm3zfx0UcfmTw8PExOTk6mV155xTRhwoRCNzT9fV3btm0ztWvXzlStWjVT5cqVTY8//rhp6dKl5vV5eXmm6dOnm7y8vEz29vamWrVqmTp16mTasmVLaV6eyWTSDU3LQ1mOg+XLl5t8fHxM9vb2pvr165umTp1aYP2OHTtMjz/+uMnBwaHQtiaTyXT16lVTjRo1TFOmTCmyL5MnTzbVrl3bdOXKFVPfvn1NHh4epkqVKpnq1q1r+r//+z/T5cuXTSaTyfR///d/psaNG5scHBxMtWrVMvXv39/0008/mUymwjecMJlMpo8//tj06KOPmipXrmx68cUXTePHjze5u7ub15fmpr2lOV4///xz02OPPWZycHAwtW3b1jRv3jzdcKKUlNXSUV6V14qmrJaOsqqsVjRltXSUVWW1oimrpaOsKquWQHktmbKqrFqC0t7Q1GAy/e4i6EXYs2cPLVu2JDU1FX9//3KY0rc+ixYtol+/fg/1PpDCXn/9dQ4cOMC2bdsquivy/ymrUhzl1bIoq1IcZdWyKKtSHGXVsiirUhxl1fIor1IUZdXylHY+/J5cFkbkQfX+++8TEhKCk5MT69atY8GCBQVONxIRy6G8ilgHZVXEOiirItZBWRWxDsrqg0OT6yJlsGvXLqZMmcLFixdp1KgRM2bMICwsrKK7JSJFUF5FrIOyKmIdlFUR66CsilgHZfXBocl1kTJYtmxZRXdBREpJeRWxDsqqiHVQVkWsg7IqYh2U1QeHTUV3QERERERERERERETE2mhyXURERERERERERESkjDS5LiIiIiIiIiIiIiJSRmW65npiYiKZmZn3qi8WLTk5GXi494GINVBWRayDsipiHZRVEeugrIpYD+VVxDocPXq0VOUMJpPJVFKhHTt20LZtW3Jzc++6Y9bMYGPAlFfi7hKRCmZjY0NeXl5Fd0NESqCsilgHZVXEOiirItZDeRWxDra2tmzbto02bdoUW6ZUv1x3cHAgNzeX+Ph4vL29y62D1iQxMZHRo0fTb04/3IxuFd0dESlGxpcZrJuw7qF+vxKxBvnjqrIqYtmUVRHroKyKWA/lVcQ6ZGZm0q9fPxwcHG5brkyXhfH29sbf3/+uOmat8k/VcTO64eHrUcG9EZHinPnuDPBwv1+JWIP8cVVZFbFsyqqIdVBWRayH8iryYNENTUVEREREREREREREykiT6yIiIiIiIiIiIiIiZaTJdRERERERERERERGRMtLkujzwhlQfwjdrv6nobgCW1ReRB8nmzZsxGAycO3euortiUX0RsTSWlA9L6ouIpbGkfFhSX0QsjSXlw5L6ImJpLCkfltSXB0W5TK4PHDgQg8HApEmTCixfvXo1BoOhPJood/l9/u2jc+fOFd2th97RXUeJqBnBx30+Lrc6ozOj8Qn2Kbf6RB4E5fm+7enpyfTp00tdPiYmBltbW6ZOnVqmdm7nqaeeIisrC1dX13KrU8QSKKsi1kFZFbEOyqqIdVBWxZqU2y/XHR0dmTx5MtnZ2eVVJQDXrl0r1/p+q3PnzmRlZZkfixcvvmdtSensjN9J29fbcnjHYc5nnS+XOl3cXLBzsCuXukQeJPfqfbsk8+bNY8SIEcybN6/c6qxUqRLu7u4W+4WuyN1QVkWsg7IqYh2UVRHroKyKtSi3yfXg4GDc3d2JiYkptszYsWPx8/MrsGz69Ol4enqanw8cOJAXX3yRCRMmULduXby8vACYNWsWTZo0wdHRETc3N3r16mXeJi8vj5iYGBo2bEjlypXx9fVl+fLlJfbZwcEBd3d386NatWple9FSrq5eusre1XsJfC0QnxAfdi3eZV6Xcy6HT9/4lHebvEtk3UjGtxrPzkU7Abhx7QbLRyxnjPcYhtcZznuPv8eGf2wwb/v7S7Ec3XmUKUFTGF5nONOemcY3a79hSPUhnEw/CcChrw4xpPoQvtvyHdOemUbko5FM7zSdM4fOFOhvemI677d/n+F1hjOuxTjWT15P7o1c8/ofD//IjK4zGF5nODFPxnBw08F7st9E7lRp3rcBVqxYQbNmzXBwcMDT05Np06aZ17Vv357jx48TERFhPgvodrZs2cLly5eJjo7mwoULbN++vcD6ffv20aFDB5ydnXFxcaFly5akpKQAcPz4cbp160a1atVwcnKiWbNmJCYmAkWf2jZ37lw8PDx45JFH6NGjB7GxsVStWtW8Pn9M+vTTT/H09MTV1ZW+ffty8eJFc5nSjC+JiYkYjUYqV65Mhw4dOHbs2G33gUhZKavKqlgHZVVZFeugrCqrYh2UVWXVWpTb5LqtrS0TJ05k5syZnDx58q7q2rhxIwcPHmTDhg0kJCSQkpLC4MGDiY6O5uDBg6xfv56goCBz+ZiYGBYuXMjs2bPZv38/ERER9OvXjy1btty2nc2bN1O7dm28vLz4y1/+ws8//3xX/Za7s3f1Xmo3qY1bEzda9W7FzkU7MZlMACROTOT0wdO8uexNRn49kj++/0ecajgBsHXOVr5d9y0D5g3gb7v+Rv+P+1O9fvUi27hy4Qpz/zSXuj51Gb5pOF1GdeHz9z4vsuza8WvpPq47wzYOw8bOhiWDlpjXHd5xmEV/WUTQm0GM3DGS3rG92bV4Fxum3ZzUz8vLY94r87CrZEfEhgh6x/Yuth2RilKa9+3U1FR69+5N3759SU9PZ+zYsYwePZr58+cDsHLlSurVq0d0dLT5LKDbiYuLIzQ0FHt7e0JDQ4mLiyuw/uWXX6ZevXrs3r2b1NRURo4cib29PQBvvfUWV69eZevWraSnpzN58mSqVKlSZDvJycmEh4fz9ttvk5aWRkhICBMmTChU7vDhw6xevZqEhAQSEhLYsmVLgVMPSxpffvjhB1566SW6detGWloaYWFhjBw58rb7QKSslFVlVayDsqqsinVQVpVVsQ7KqrJqLcr1Whk9evTAz8+PqKioQgdgWTg5OfGvf/2LSpUqATfD4OTkxPPPP4+zszMNGjSgRYsWAFy9epWJEyfy5Zdf0qZNGwAaNWrEV199xZw5c2jXrl2RbXTu3JmXXnqJhg0bcvjwYf72t7/RpUsXduzYga2t7R33Xe7czvidtPpjKwCadmzK5QuX+T75e5o83YTsk9k82vxR6reoD0CN+jXM22WfyqZW41o0erIRBoOB6h5FT6wDpK5IxWAw0Gd6H+wd7XFv6s75rPMsHbK0UNmuf+/KY4GPARA8JJiP+3zM9SvXsXe054spX9BxSEcCQgMAqOlZk+f+9hxrxq6h8zud+W7zd5w5dIbw5eG41nE11zen95zy2Vki5aSk9+3Y2Fg6duzI6NGjATAajWRkZDB16lQGDhxI9erVsbW1xdnZGXd399u2deHCBZYvX86OHTsA6NevH23btuWf//yn+UPHiRMniIyMpGnTpgA0adLEvP2JEyfo2bMnzZs3B26+1xdn5syZdOnSheHDh5v7vX37dhISEgqUy8vLY/78+Tg7OwPQv39/Nm7cyIQJE0o1vnz00Uc0btzY/OsILy8v8wcpkfKkrCqrYh2UVWVVrIOyqqyKdVBWlVVrUG6/XM83efJkFixYQGZm5h3X0bx5c/PEOkBISAgNGjSgUaNG9O/fn0WLFpGTkwPA999/T05ODiEhIVSpUsX8WLhwIYcPHy62jb59+/LCCy/QvHlzXnzxRRISEti9ezebN2++437LnTtz6AzH9xzHv6c/ALZ2trTo0YKd8Tcv/RL4aiB7V+1lStAU1kSt4ejOo+ZtA0IDOJV+iokBE1kxcgUHkg4U287ZQ2ep26wu9o725mUNWjYosmzdZnXN/3ZxcwHg0k+XADj17Sn+O/W/jPAYYX4sHbKUC6cvcC3nGme+O0O1R6uZJ9YBPAM8y7hXRO6P271vZ2ZmEhgYWGBZYGAghw4dIjc3t1D521m8eDGNGzfG19cXAD8/Pxo0aMDSpbe+3Bo6dChhYWEEBwczadKkAu/jgwcPZvz48QQGBhIVFcU333xTqI18Bw8eJCAgoMCy3z+Hmze3yf+gAlCnTh3Onj0LlG58yczM5IknnihQZ/4HG5Hypqwqq2IdlFVlVayDsqqsinVQVpVVS1fuk+tBQUF06tSJUaNGFW7MxsZ8mY98169fL1TOycmpwHNnZ2f27NnD4sWLqVOnDmPGjMHX15dz585x6dLNyc61a9eSlpZmfmRkZJTquuv5GjVqRM2aNfn+++9LvY2Un53xO8m7kUeUTxRDaw1laK2hJM9LZt/n+7h84TI+IT5E7Yui/V/ac/70eWb1mMV/Rv8HAA9fD8bsHUOXUV24fvk681+bzycDPrnrPtnY/yYe//+yXHl5eQBc+/UanUd2JnJLpPkx4qsRvJvyLnaOunmqWJfbvW+Xp7i4OPbv34+dnZ35kZGRUeBGMWPHjmX//v107dqVpKQkfHx8WLVqFQBhYWEcOXKE/v37k56eTqtWrZg5c+Zd9Sn/FL58BoPBnPPyGl9EyouyeouyKpZMWb1FWRVLpqzeoqyKJVNWb1FWLdM9mQWcNGkSfn5+5puR5qtVqxanT5/GZDKZbyKQlpZWqjrt7OwIDg4mODiYqKgoqlatSlJSEiEhITg4OHDixIliLwFTGidPnuTnn3+mTp06d1yH3JncG7nsXrqb7uO607RD0wLr4vrHsWfFHgJfDaRKzSoEhAYQEBpAcptk1oxZQ/dx3QFwdHHE/yV//F/yx/cFX+b8cQ6/Zv+KU7WCX9TUblKblH+ncOPqDewcbh7+J/acKHOf6z1ej7OHzlKrUa0i17sZ3cg+lc350+dxdb/56/Vju4+VuR2R+6W4921vb2+Sk5MLLEtOTsZoNJovoVWpUqUSfxWQnp5OSkoKmzdvpnr1W5du+uWXX2jfvj0HDhwwn1pnNBoxGo1EREQQGhrKJ598Qo8ePQDw8PAgPDyc8PBwRo0axdy5cxk0aFCh9ry8vNi9e3eBZb9/XhIfH58Sxxdvb2/WrFlTYNnXX39dpnZEykJZLUxZFUukrBamrIolUlYLU1bFEimrhSmrluOeTK43b96cl19+mRkzZhRY3r59e3788UemTJlCr169WL9+PevWrcPFxeW29SUkJHDkyBGCgoKoVq0aiYmJ5OXl4eXlhbOzM8OHDyciIoK8vDyefvppzp8/T3JyMi4uLgwYMKBQfZcuXeK9996jZ8+euLu7c/jwYUaMGMFjjz1Gp06dynVfSMn2f7GfnHM5PNn/SSq7VC6w7vFuj/N1/NeczzqPh58H7k3duXH1BhlfZOBmdANg04ebcHF3oV7zehhsDOz7zz5c3Fyo7Fq5UFste7Zk7fi1LI1YSse3O5J9MpukD5IASrxr9G89G/ksc0PnUq1eNXxf8MVgY+B/3/6PrANZdH23K8b2Rmo3rs1nf/2MF6Jf4MrFKyROSLyLvSRybxX3vj1s2DBat27NuHHj6NOnDzt27OCDDz5g1qxZ5jKenp5s3bqVvn374uDgQM2aNQvVHxcXR0BAQIGbUedr3bo1cXFxREdHExkZSa9evWjYsCEnT55k9+7d9OzZE4AhQ4bQpUsXjEYj2dnZbNq0CW9v7yJfz6BBgwgKCiI2NpZu3bqRlJTEunXrypTz0owv4eHhTJs2jcjISMLCwkhNTTXfPEfkXlBWC1NWxRIpq4Upq2KJlNXClFWxRMpqYcqq5Sj3y8Lki46ONp+qkM/b25tZs2bx4Ycf4uvry65du8wX77+dqlWrsnLlSp555hm8vb2ZPXs2ixcvplmzZgCMGzeO0aNHExMTg7e3N507d2bt2rU0bNiwyPpsbW355ptveOGFFzAajfz5z3+mZcuWbNu2DQcHh7t/8VImO+N34tXOq9DEOoBvN19+2PsDNnY2JEQnMKXtFGY+PxODrYEBcTe/OHGs4kjSjCSmdZxGbMdYfvnhF95Y+gY2NoUPb0cXR17/7HVOpZ9iarupJE5IpNOIm1+o5P+SvTS8O3rz+uLXObjpILHBsUx/djqbP9pM9Xo3v+G0sbHhtU9f4/qV68QGx7Lk7SU89+5zd7J7RO6bot63/f39WbZsGUuWLOEPf/gDY8aMITo6moEDBxbY7tixYzRu3JhatQqfzXHt2jXi4+PNHzp+r2fPnixcuBAbGxt+/vlnXnnlFYxGI71796ZLly689957AOTm5vLWW2+Z3+eNRmOBD02/FRgYyOzZs4mNjcXX15f169cTERGBo6NjmfZJSeNL/fr1WbFiBatXr8bX15fZs2czceLEMrUhUlbKamHKqlgiZbUwZVUskbJamLIqlkhZLUxZtQwG0+8vgl6EPXv20LJlS1JTU/H3978f/bI4ixYtol+/fgzbNAwPX4+K7o6Uo5R/p7D4/xYTcyyGSpUrlbyBWLSUf6cQ/2b8Q/1+JUV7/fXXOXDgANu2bavorgi3xlVlVX5PWbUsyqoUR1m1LMqqFEdZtTzKqxRFWbU8pZ0P150X5aGza8kuanrWxLWOK6e+PcXnYz/H70U/TayLPGDef/99QkJCcHJyYt26dSxYsKDYXw6ISMVRVkWsg7IqYh2UVRHroKw+ODS5Lg+di2cvsi5mHRfPXsTFzQW/7n50/XvXiu6WiJSzXbt2MWXKFC5evEijRo2YMWMGYWFhFd0tEfkdZVXEOiirItZBWRWxDsrqg0OT6/LQ6Ti4Ix0Hd6zobojIPbZs2bKK7oKIlIKyKmIdlFUR66CsilgHZfXBcc9uaCoiIiIiIiIiIiIi8qDS5LqIiIiIiIiIiIiISBlpcl1EREREREREREREpIzKdM31xMREMjMz71VfLFpycjIAGV9mcOa7MxXcGxEpzpGdR4CH+/1KxBrkj6vKqohlU1ZFrIOyKmI9lFcR63D06NFSlTOYTCZTSYV27NhB27Ztyc3NveuOWTMbGxvy8vIquhsiUgJlVcQ6GGwMmPJK/BgiIhVM46qIdVBWRayH8ipiHWxtbdm2bRtt2rQptkypfrnu4OBAbm4u8fHxeHt7l1sHrUliYiKjR49+qPeBiDVQVkWsQ35W+83ph5vRraK7IyLFyPgyg3UT1mlcFbFw+gwsYj2UVxHrkJmZSb9+/XBwcLhtuTJdFsbb2xt/f/+76pi1yj9V52HeByLWQFkVsQ75WXUzuuHh61HBvRGR4uRfDlHjqohl02dgEeuhvIo8WHRDUxERERERERERERGRMtLkuoiIiIiIiIiIiIhIGWlyXURERERERERERESkjDS5LlKMzZs3YzAYOHfuXEV3xaL6ImKJLCkjltQXkXthSPUhfLP2m4ruBmBZfRF5kFjSWGZJfRGxNJaUD0vqi4ilsaR8WFJfHhTlMrk+cOBADAYDkyZNKrB89erVGAyG8mjinsjMzOSFF17A1dUVJycnWrduzYkTJyq6W1arPI8DT09Ppk+fXuryMTEx2NraMnXq1DK1cztPPfUUWVlZuLq6lludIpZCeRV5OBzddZSImhF83OfjcqszOjMan2CfcqtP5EGgcVXEOiirItZBWRVrUm6/XHd0dGTy5MlkZ2eXV5UAXLt2rVzry3f48GGefvppmjZtyubNm/nmm28YPXo0jo6O96S9h8W9Og5KMm/ePEaMGMG8efPKrc5KlSrh7u5u0V8QidwN5VXkwbczfidtX2/L4R2HOZ91vlzqdHFzwc7BrlzqEnmQaFwVsQ7Kqoh1UFbFWpTb5HpwcDDu7u7ExMQUW2bs2LH4+fkVWDZ9+nQ8PT3NzwcOHMiLL77IhAkTqFu3Ll5eXgDMmjWLJk2a4OjoiJubG7169TJvk5eXR0xMDA0bNqRy5cr4+vqyfPny2/b33Xff5bnnnmPKlCm0aNGCxo0b88ILL1C7du2yv3gxK81xALBixQqaNWuGg4MDnp6eTJs2zbyuffv2HD9+nIiICAwGQ4lvPlu2bOHy5ctER0dz4cIFtm/fXmD9vn376NChA87Ozri4uNCyZUtSUlIAOH78ON26daNatWo4OTnRrFkzEhMTgaJPlZk7dy4eHh488sgj9OjRg9jYWKpWrWpen3+Mf/rpp3h6euLq6krfvn25ePGiuUxpjtfExESMRiOVK1emQ4cOHDt27Lb7QOROKK/KqzzYrl66yt7Vewl8LRCfEB92Ld5lXpdzLodP3/iUd5u8S2TdSMa3Gs/ORTsBuHHtBstHLGeM9xiG1xnOe4+/x4Z/bDBv+/tLsRzdeZQpQVMYXmc4056Zxjdrv2FI9SGcTD8JwKGvDjGk+hC+2/Id056ZRuSjkUzvNJ0zh84U6G96Yjrvt3+f4XWGM67FONZPXk/ujVzz+h8P/8iMrjMYXmc4MU/GcHDTwXuy30TulMZVjatiHZRVZVWsg7KqrFqLcptct7W1ZeLEicycOZOTJ0/eVV0bN27k4MGDbNiwgYSEBFJSUhg8eDDR0dEcPHiQ9evXExQUZC4fExPDwoULmT17Nvv37yciIoJ+/fqxZcuWIuvPy8tj7dq1GI1GOnXqRO3atXniiSdYvXr1XfVbSnccpKam0rt3b/r27Ut6ejpjx45l9OjRzJ8/H4CVK1dSr149oqOjycrKIisr67ZtxsXFERoair29PaGhocTFxRVY//LLL1OvXj12795NamoqI0eOxN7eHoC33nqLq1evsnXrVtLT05k8eTJVqlQpsp3k5GTCw8N5++23SUtLIyQkhAkTJhQqd/jwYVavXk1CQgIJCQls2bKlwKlMJR2vP/zwAy+99BLdunUjLS2NsLAwRo4cedt9IHInlFflVR5se1fvpXaT2rg1caNV71bsXLQTk8kEQOLERE4fPM2by95k5Ncj+eP7f8SphhMAW+ds5dt13zJg3gD+tutv9P+4P9XrVy+yjSsXrjD3T3Op61OX4ZuG02VUFz5/7/Miy64dv5bu47ozbOMwbOxsWDJoiXnd4R2HWfSXRQS9GcTIHSPpHdubXYt3sWHazUn9vLw85r0yD7tKdkRsiKB3bO9i2xGpKBpXNa6KdVBWlVWxDsqqsmotyvWc3h49euDn50dUVFShA7AsnJyc+Ne//kWlSpWAm2FwcnLi+eefx9nZmQYNGtCiRQsArl69ysSJE/nyyy9p06YNAI0aNeKrr75izpw5tGvXrlD9Z8+e5dKlS0yaNInx48czefJk1q9fz0svvcSmTZuK3EZKr6TjIDY2lo4dOzJ69GgAjEYjGRkZTJ06lYEDB1K9enVsbW1xdnbG3d39tm1duHCB5cuXs2PHDgD69etH27Zt+ec//2l+Eztx4gSRkZE0bdoUgCZNmpi3P3HiBD179qR58+bAzWOnODNnzqRLly4MHz7c3O/t27eTkJBQoFxeXh7z58/H2dkZgP79+7Nx40YmTJhQquP1o48+onHjxuZvW728vMxvzCLlTXlVXuXBtTN+J63+2AqAph2bcvnCZb5P/p4mTzch+2Q2jzZ/lPot6gNQo34N83bZp7Kp1bgWjZ5shMFgoLpH0RPrAKkrUjEYDPSZ3gd7R3vcm7pzPus8S4csLVS269+78ljgYwAEDwnm4z4fc/3Kdewd7fliyhd0HNKRgNAAAGp61uS5vz3HmrFr6PxOZ77b/B1nDp0hfHk4rnVczfXN6T2nfHaWSDnRuKpxVayDsqqsinVQVpVVa1Buv1zPN3nyZBYsWEBmZuYd19G8eXPzxDpASEgIDRo0oFGjRvTv359FixaRk5MDwPfff09OTg4hISFUqVLF/Fi4cCGHDx8usv68vDwAunfvTkREBH5+fowcOZLnn3+e2bNn33G/5ZbbHQeZmZkEBgYWWBYYGMihQ4fIzc0tVP52Fi9eTOPGjfH19QXAz8+PBg0asHTprT/qhw4dSlhYGMHBwUyaNKnAcTF48GDGjx9PYGAgUVFRfPPNN4XayHfw4EECAgIKLPv9c7h5s4z8Nz6AOnXqcPbsWaB0x2tmZiZPPPFEgTrz3yhF7gXlVXmVB8+ZQ2c4vuc4/j39AbC1s6VFjxbsjL956ZfAVwPZu2ovU4KmsCZqDUd3HjVvGxAawKn0U0wMmMiKkSs4kHSg2HbOHjpL3WZ1sXe0Ny9r0LJBkWXrNqtr/reLmwsAl366BMCpb0/x36n/ZYTHCPNj6ZClXDh9gWs51zjz3RmqPVrNPLEO4BngWca9InJ/aFzVuCrWQVlVVsU6KKvKqqUr98n1oKAgOnXqxKhRowo3ZmNjPh053/Xr1wuVc3JyKvDc2dmZPXv2sHjxYurUqcOYMWPw9fXl3LlzXLp084+ytWvXkpaWZn5kZGQUe931mjVrYmdnh4+PT4Hl3t7enDhxokyvV4p2u+OgPMXFxbF//37s7OzMj4yMjAI3nhg7diz79++na9euJCUl4ePjw6pVqwAICwvjyJEj9O/fn/T0dFq1asXMmTPvqk/5pwTlMxgM5i907uR4FbnXlNdblFd5UOyM30nejTyifKIYWmsoQ2sNJXleMvs+38flC5fxCfEhal8U7f/SnvOnzzOrxyz+M/o/AHj4ejBm7xi6jOrC9cvXmf/afD4Z8Mld98nG/jcfO///5S7z83bt12t0HtmZyC2R5seIr0bwbsq72Dnq5qliXTSu3qJxVSyZsnqLsiqWTFm9RVm1TPfkr5VJkybh5+dnvhlpvlq1anH69GlMJpP5JgJpaWmlqtPOzo7g4GCCg4OJioqiatWqJCUlERISgoODAydOnCj15VwqVapE69atOXiw4I2wvvvuOxo0KPrXVlJ2xR0H3t7eJCcnF1iWnJyM0WjE1tYWuPl/VNK3jOnp6aSkpLB582aqV791yvovv/xC+/btOXDggPlUHaPRiNFoJCIigtDQUD755BN69OgBgIeHB+Hh4YSHhzNq1Cjmzp3LoEGDCrXn5eXF7t27Cyz7/fOS+Pj4lHi8ent7s2bNmgLLvv766zK1I1JWymthyqtYq9wbuexeupvu47rTtEPTAuvi+sexZ8UeAl8NpErNKgSEBhAQGkBym2TWjFlD93HdAXB0ccT/JX/8X/LH9wVf5vxxDr9m/4pTtYI/gKjdpDYp/07hxtUb2Dnc/Fh5Yk/Zf6hQ7/F6nD10llqNahW53s3oRvapbM6fPo+r+81frx/bfazM7YjcLxpXC9O4KpZIWS1MWRVLpKwWpqxajnsyud68eXNefvllZsyYUWB5+/bt+fHHH5kyZQq9evVi/fr1rFu3DhcXl9vWl5CQwJEjRwgKCqJatWokJiaSl5eHl5cXzs7ODB8+nIiICPLy8nj66ac5f/48ycnJuLi4MGDAgCLrjIyMpE+fPgQFBdGhQwfWr1/P559/zubNm8trNzz0ijsOhg0bRuvWrRk3bhx9+vRhx44dfPDBB8yaNctcxtPTk61bt9K3b18cHByoWbNmofrj4uIICAgocHPbfK1btyYuLo7o6GgiIyPp1asXDRs25OTJk+zevZuePXsCMGTIELp06YLRaCQ7O5tNmzbh7e1d5OsZNGgQQUFBxMbG0q1bN5KSkli3bl2Jd5v+rdIcr+Hh4UybNo3IyEjCwsJITU0134xD5F5RXgtTXsVa7f9iPznncniy/5NUdqlcYN3j3R7n6/ivOZ91Hg8/D9ybunPj6g0yvsjAzegGwKYPN+Hi7kK95vUw2BjY9599uLi5UNm1cqG2WvZsydrxa1kasZSOb3ck+2Q2SR8kAZQpb89GPsvc0LlUq1cN3xd8MdgY+N+3/yPrQBZd3+2Ksb2R2o1r89lfP+OF6Be4cvEKiRMS72IvidxbGlcL07gqlkhZLUxZFUukrBamrFqOcr8sTL7o6GjzqQr5vL29mTVrFh9++CG+vr7s2rXLfPH+26latSorV67kmWeewdvbm9mzZ7N48WKaNWsGwLhx4xg9ejQxMTF4e3vTuXNn1q5dS8OGDYuts0ePHsyePZspU6bQvHlz/vWvf7FixQqefvrpu3vhUkBRx4G/vz/Lli1jyZIl/OEPf2DMmDFER0czcODAAtsdO3aMxo0bU6tW4V+xXbt2jfj4ePOb2O/17NmThQsXYmNjw88//8wrr7yC0Wikd+/edOnShffeew+A3Nxc3nrrLfNxYzQaC7wJ/1ZgYCCzZ88mNjYWX19f1q9fT0REBI6OjmXaJyUdr/Xr12fFihWsXr0aX19fZs+ezcSJE8vUhsidUF4LU17FGu2M34lXO69CE+sAvt18+WHvD9jY2ZAQncCUtlOY+fxMDLYGBsTd/EGCYxVHkmYkMa3jNGI7xvLLD7/wxtI3sLEp/LHR0cWR1z97nVPpp5jabiqJExLpNKITgPmX7KXh3dGb1xe/zsFNB4kNjmX6s9PZ/NFmqte7+cshGxsbXvv0Na5fuU5scCxL3l7Cc+8+dye7R+S+0bhamMZVsUTKamHKqlgiZbUwZdUyGEy/vwh6Efbs2UPLli1JTU3F39//fvTL4ixatIh+/fo91PtACnv99dc5cOAA27Ztq+iuyP+nrEpxlFfLkp/VYZuG4eHrUdHdkXKU8u8UFv/fYmKOxVCpcqWSNxCLlvLvFOLfjNe4KoVoXLUs+gwsxVFWLY/yKkVRVi1PaefDdYcokTJ4//33CQkJwcnJiXXr1rFgwYJiv4kUkYqlvIrcH7uW7KKmZ01c67hy6ttTfD72c/xe9NPEusgDRuOqiHVQVkWsg7L64NDkukgZ7Nq1iylTpnDx4kUaNWrEjBkzCAsLq+huiUgRlFeR++Pi2Yusi1nHxbMXcXFzwa+7H13/3rWiuyUi5Uzjqoh1UFZFrIOy+uDQ5LpIGSxbtqyiuyAipaS8itwfHQd3pOPgjhXdDRG5xzSuilgHZVXEOiirD457dkNTEREREREREREREZEHlSbXRURERERERERERETKSJPrIiIiIiIiIiIiIiJlpMl1EREREREREREREZEyKtMNTRMTE8nMzLxXfbFoycnJwMO9D0SsgbIqYh3ys5rxZQZnvjtTwb0RkeIc2XkE0LgqYun0GVjEeiivItbh6NGjpSpnMJlMppIK7dixg7Zt25Kbm3vXHbNmNjY25OXlVXQ3RKQEyqqIdTDYGDDllfgxREQqmMZVEeugrIpYD+VVxDrY2tqybds22rRpU2yZUv1y3cHBgdzcXOLj4/H29i63DlqTxMRERo8e/VDvAxFroKyKWIf8rPab0w83o1tFd0dEipHxZQbrJqzTuCpi4fQZWMR6KK8i1iEzM5N+/frh4OBw23JluiyMt7c3/v7+d9Uxa5V/qs7DvA9ErIGyKmId8rPqZnTDw9ejgnsjIsXJv2yTxlURy6bPwCLWQ3kVebDohqYiIiIiIiIiIiIiImWkyXURERERERERERERkTLS5LqIiIiIiIiIiIiISBlpcl2kGJs3b8ZgMHDu3LmK7opF9UXEEllSRiypLyL3wpDqQ/hm7TcV3Q3Asvoi8iCxpLHMkvoiYmksKR+W1BcRS2NJ+bCkvjwoymVyfeDAgRgMBiZNmlRg+erVqzEYDOXRRLkzGAxFPqZOnVrRXbNa5XkceHp6Mn369FKXj4mJwdbWtlz//5566imysrJwdXUttzpFLIXyKvJwOLrrKBE1I/i4z8flVmd0ZjQ+wT7lVp/Ig0Djqoh1UFZFrIOyKtak3H657ujoyOTJk8nOzi6vKgG4du1audaXLysrq8Bj3rx5GAwGevbseU/ae1jcq+OgJPPmzWPEiBHMmzev3OqsVKkS7u7uFvsFkcjdUl5FHnw743fS9vW2HN5xmPNZ58ulThc3F+wc7MqlLpEHicZVEeugrIpYB2VVrEW5Ta4HBwfj7u5OTExMsWXGjh2Ln59fgWXTp0/H09PT/HzgwIG8+OKLTJgwgbp16+Ll5QXArFmzaNKkCY6Ojri5udGrVy/zNnl5ecTExNCwYUMqV66Mr68vy5cvv21/3d3dCzz+85//0KFDBxo1alT2Fy9mpTkOAFasWEGzZs1wcHDA09OTadOmmde1b9+e48ePExERYT6j4Ha2bNnC5cuXiY6O5sKFC2zfvr3A+n379tGhQwecnZ1xcXGhZcuWpKSkAHD8+HG6detGtWrVcHJyolmzZiQmJgJFnyozd+5cPDw8eOSRR+jRowexsbFUrVrVvD7/GP/000/x9PTE1dWVvn37cvHiRXOZ0hyviYmJGI1GKleuTIcOHTh27Nht94HInVBelVd5sF29dJW9q/cS+FogPiE+7Fq8y7wu51wOn77xKe82eZfIupGMbzWenYt2AnDj2g2Wj1jOGO8xDK8znPcef48N/9hg3vb3l2I5uvMoU4KmMLzOcKY9M41v1n7DkOpDOJl+EoBDXx1iSPUhfLflO6Y9M43IRyOZ3mk6Zw6dKdDf9MR03m//PsPrDGdci3Gsn7ye3Bu55vU/Hv6RGV1nMLzOcGKejOHgpoP3ZL+J3CmNqxpXxTooq8qqWAdlVVm1FuU2uW5ra8vEiROZOXMmJ0+evKu6Nm7cyMGDB9mwYQMJCQmkpKQwePBgoqOjOXjwIOvXrycoKMhcPiYmhoULFzJ79mz2799PREQE/fr1Y8uWLaVq78yZM6xdu5Y///nPd9VvKd1xkJqaSu/evenbty/p6emMHTuW0aNHM3/+fABWrlxJvXr1iI6ONp9ZcDtxcXGEhoZib29PaGgocXFxBda//PLL1KtXj927d5OamsrIkSOxt7cH4K233uLq1ats3bqV9PR0Jk+eTJUqVYpsJzk5mfDwcN5++23S0tIICQlhwoQJhcodPnyY1atXk5CQQEJCAlu2bClwKlNJx+sPP/zASy+9RLdu3UhLSyMsLIyRI0fedh+I3AnlVXmVB9ve1Xup3aQ2bk3caNW7FTsX7cRkMgGQODGR0wdP8+ayNxn59Uj++P4fcarhBMDWOVv5dt23DJg3gL/t+hv9P+5P9frVi2zjyoUrzP3TXOr61GX4puF0GdWFz9/7vMiya8evpfu47gzbOAwbOxuWDFpiXnd4x2EW/WURQW8GMXLHSHrH9mbX4l1smHZzUj8vL495r8zDrpIdERsi6B3bu9h2RCqKxlWNq2IdlFVlVayDsqqsWotyPae3R48e+Pn5ERUVVegALAsnJyf+9a9/UalSJeBmGJycnHj++edxdnamQYMGtGjRAoCrV68yceJEvvzyS9q0aQNAo0aN+Oqrr5gzZw7t2rUrsb0FCxbg7OzMSy+9dMd9lltKOg5iY2Pp2LEjo0ePBsBoNJKRkcHUqVMZOHAg1atXx9bWFmdnZ9zd3W/b1oULF1i+fDk7duwAoF+/frRt25Z//vOf5jexEydOEBkZSdOmTQFo0qSJefsTJ07Qs2dPmjdvDnDbMxdmzpxJly5dGD58uLnf27dvJyEhoUC5vLw85s+fj7OzMwD9+/dn48aNTJgwoVTH60cffUTjxo3N37Z6eXmZ35hFypvyqrzKg2tn/E5a/bEVAE07NuXyhct8n/w9TZ5uQvbJbB5t/ij1W9QHoEb9Gubtsk9lU6txLRo92QiDwUB1j6In1gFSV6RiMBjoM70P9o72uDd153zWeZYOWVqobNe/d+WxwMcACB4SzMd9Pub6levYO9rzxZQv6DikIwGhAQDU9KzJc397jjVj19D5nc58t/k7zhw6Q/jycFzruJrrm9N7TvnsLJFyonFV46pYB2VVWRXroKwqq9ag3H65nm/y5MksWLCAzMzMO66jefPm5ol1gJCQEBo0aECjRo3o378/ixYtIicnB4Dvv/+enJwcQkJCqFKlivmxcOFCDh8+XKr25s2bx8svv4yjo+Md91kKut1xkJmZSWBgYIFlgYGBHDp0iNzc3ELlb2fx4sU0btwYX19fAPz8/GjQoAFLl976o37o0KGEhYURHBzMpEmTChwXgwcPZvz48QQGBhIVFcU333xTqI18Bw8eJCAgoMCy3z+HmzfLyH/jA6hTpw5nz54FSne8ZmZm8sQTTxSoM/+NUuReUF6VV3nwnDl0huN7juPf0x8AWztbWvRowc74m5d+CXw1kL2r9jIlaAprotZwdOdR87YBoQGcSj/FxICJrBi5ggNJB4pt5+yhs9RtVhd7R3vzsgYtGxRZtm6zuuZ/u7i5AHDpp0sAnPr2FP+d+l9GeIwwP5YOWcqF0xe4lnONM9+dodqj1cwT6wCeAZ5l3Csi94fGVY2rYh2UVWVVrIOyqqxaunKfXA8KCqJTp06MGjWqcGM2NubTkfNdv369UDknJ6cCz52dndmzZw+LFy+mTp06jBkzBl9fX86dO8elSzf/KFu7di1paWnmR0ZGRonXXQfYtm0bBw8eJCwsrCwvU0pwu+OgPMXFxbF//37s7OzMj4yMjAI3nhg7diz79++na9euJCUl4ePjw6pVqwAICwvjyJEj9O/fn/T0dFq1asXMmTPvqk/5pwTlMxgM5OXlAdz18SpyLyivtyiv8qDYGb+TvBt5RPlEMbTWUIbWGkryvGT2fb6Pyxcu4xPiQ9S+KNr/pT3nT59nVo9Z/Gf0fwDw8PVgzN4xdBnVheuXrzP/tfl8MuCTu+6Tjf1vPnb+/8td5uft2q/X6DyyM5FbIs2PEV+N4N2Ud7Fz1M1TxbpoXL1F46pYMmX1FmVVLJmyeouyapnuyV8rkyZNws/Pz3wz0ny1atXi9OnTmEwm800E0tLSSlWnnZ0dwcHBBAcHExUVRdWqVUlKSiIkJAQHBwdOnDhRqkvA/F5cXBwtW7Y0fzMl5ae448Db25vk5OQCy5KTkzEajdja2gI376Rc0reM6enppKSksHnzZqpXv3XK+i+//EL79u05cOCA+VQdo9GI0WgkIiKC0NBQPvnkE3r06AGAh4cH4eHhhIeHM2rUKObOncugQYMKtefl5cXu3bsLLPv985L4+PiUeLx6e3uzZs2aAsu+/vrrMrUjUlbKa2HKq1ir3Bu57F66m+7jutO0Q9MC6+L6x7FnxR4CXw2kSs0qBIQGEBAaQHKbZNaMWUP3cd0BcHRxxP8lf/xf8sf3BV/m/HEOv2b/ilO1gj+AqN2kNin/TuHG1RvYOdz8WHliz4ky97ne4/U4e+gstRrVKnK9m9GN7FPZnD99Hlf3m79eP7b7WJnbEblfNK4WpnFVLJGyWpiyKpZIWS1MWbUc92RyvXnz5rz88svMmDGjwPL27dvz448/MmXKFHr16sX69etZt24dLi4ut60vISGBI0eOEBQURLVq1UhMTCQvLw8vLy+cnZ0ZPnw4ERER5OXl8fTTT3P+/HmSk5NxcXFhwIABxdZ74cIF/v3vfxe4k7CUn+KOg2HDhtG6dWvGjRtHnz592LFjBx988AGzZs0yl/H09GTr1q307dsXBwcHatasWaj+uLg4AgICCtzcNl/r1q2Ji4sjOjqayMhIevXqRcOGDTl58iS7d++mZ8+eAAwZMoQuXbpgNBrJzs5m06ZNeHt7F/l6Bg0aRFBQELGxsXTr1o2kpCTWrVtX4t2mf6s0x2t4eDjTpk0jMjKSsLAwUlNTzTfjELlXlNfClFexVvu/2E/OuRye7P8klV0qF1j3eLfH+Tr+a85nncfDzwP3pu7cuHqDjC8ycDO6AbDpw024uLtQr3k9DDYG9v1nHy5uLlR2rVyorZY9W7J2/FqWRiyl49sdyT6ZTdIHSQBlytuzkc8yN3Qu1epVw/cFXww2Bv737f/IOpBF13e7YmxvpHbj2nz21894IfoFrly8QuKExLvYSyL3lsbVwjSuiiVSVgtTVsUSKauFKauWo9wvC5MvOjrafKpCPm9vb2bNmsWHH36Ir68vu3btMl+8/3aqVq3KypUreeaZZ/D29mb27NksXryYZs2aATBu3DhGjx5NTEwM3t7edO7cmbVr19KwYcPb1rtkyRJMJhOhoaF3/kLltoo6Dvz9/Vm2bBlLlizhD3/4A2PGjCE6OpqBAwcW2O7YsWM0btyYWrUK/4rt2rVrxMfHm9/Efq9nz54sXLgQGxsbfv75Z1555RWMRiO9e/emS5cuvPfeewDk5uby1ltvmY8bo9FY4E34twIDA5k9ezaxsbH4+vqyfv16IiIiynyt/pKO1/r167NixQpWr16Nr68vs2fPZuLEiWVqQ+ROKK+FKa9ijXbG78SrnVehiXUA326+/LD3B2zsbEiITmBK2ynMfH4mBlsDA+Ju/iDh/7V3xy5x3mEcwB9PiFaLgXJQCo0Ut5sq+gd0uNhAMrR/gFPw0qWkQ6BLO3QpgjFHcOksjdWaMRC3JOB2qEsLZ7pYLA4JJsuBVIJeB5sOPc3d26rv+14+n/k9eHjhy/Pjey/v2/9ufzyaexR3yneiWq7Gyz9exo2fb0Sh0Hps7B/qj8pPldj5ZSduf3I7Hn7/MK58fSUi4p8n2TtRKpeisliJp4+fRvVyNe5+ejee/PAk3vvw6MmhQqEQ13+8Hq/+fBXVy9VY+moprn5z9b/cHjg39more5UsktVWskoWyWorWc2Gnua/X4J+jI2NjRgfH4/19fUYGxs7j7kyZ2FhISYnJ9/qe0CrSqUSm5ubsbq6mvYo/E1WOYm8ZsvrrN56fCsufXwp7XE4RWv312Lxy8WY/n06Lrxzof0PyLS1+2tx74t79iot7NVscQbmJLKaPfLKcWQ1ezrtw30hChKYnZ2NiYmJGBwcjJWVlZifnz/xn0ggXfIK56O2VIviR8W4+MHF2Pl1Jx589yBGPx9VrEOXsVchH2QV8kFWu4dyHRKo1WoxMzMTjUYjRkZGYm5uLqamptIeCziGvML5aDxvxMr0SjSeN2Lo/aEY/Ww0rn17Le2xgFNmr0I+yCrkg6x2D+U6JLC8vJz2CECH5BXOR/lmOco3y2mPAZwxexXyQVYhH2S1e5zZB00BAAAAAKBbKdcBAAAAACAh5ToAAAAAACSU6J3r9Xr9rObIvK2trYh4u+8B5IGsQj68zuqz356lPAnwJi+2X0SEvQpZ5wwM+SGvkA+dZrSn2Ww22120vb0dpVIp9vb2/vdgedbb2xsHBwdpjwG0IauQDz2Fnmgetj2GACkr9Bbi8OAw7TGANpyBIT/kFfJhYGAg6vV6DA8Pn3hNR+V6xFHBvru7e2rD5dH+/n709fWlPQbQhqxCPsgq5IOsQj7IKuSHvEI+FIvFNxbrEQnKdQAAAAAA4IgPmgIAAAAAQELKdQAAAAAASEi5DgAAAAAACSnXAQAAAAAgIeU6AAAAAAAkpFwHAAAAAICElOsAAAAAAJDQX0mfjMtq+nYDAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) <= (shifts[1,2,0]), (shifts[1,0,0]) < (shifts[1,2,0]), (shifts[1,0,0]) == (shifts[1,2,0])]\n",
      "Query127: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query128: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query129: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query130: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,1]) < (shifts[1,2,0])]\n",
      "Query131: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,1]) > (shifts[1,2,0])]\n",
      "adding the following constraints to C_L: [(shifts[1,0,1]) != (shifts[1,2,0])]\n",
      "Size of CL:  18\n",
      "Size of B:  127\n",
      "Number of Queries:  132\n",
      "Query132: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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Tq1atTFWqVDE5OTmZ6tevbxo6dKjp119/NZepW7eu6b///W+u9/n6+poiIyNNJpPJdOTIERNg2rNnj3m+m5ub6aOPPjK/vnLliqlHjx6mSpUqmYBc8/5u6dKlJqPRaCpfvrypSZMmprVr1xbps4vJlJCQoKwWgbK6xzz/drOaU9ff/9q0aVOkz3+vU1aLTnndY55/u3mtW7duvnnNWZYUTFktutLO6qZNm/Ldzvv371/gez744ANTu3btTNWrVzeVL1/eVKdOHdOAAQNMR48eNZdp06aN6ZVXXsn1vm7duuWqFzCtXLnS/PqvWc4RFhZmqlq1aqHZ27Rpk8nPz89Uvnx5U/369W95zCx/UlaLTlldaX59J1nN7zPUrVu30M8vymtRKasrza9vN6tt2rSx+DPIn4o6FmwwmUym2xmUv9fs3r2b5s2bk5qair+/f2k3556yYMECwsPD+fnnnylfvnxpN0es3MKFC+nbt6+yWgqUVbGEslq6lFcpKmW1dCmrUlTKaulSVsUSymvpUVbFEkUdC9ZtYcRqZWZmcurUKSZNmsTLL7+sHZ+IlVJWRWyH8ipiG5RVEdugrIrYBmVVSpIeaCpWKyYmhsaNG+Ph4cGoUaNKuzkiUgBlVcR2KK8itkFZFbENyqqIbVBWpSRpcF2s1tixY7l+/TobNmzQw8ZErJiyKmI7lFcR26CsitgGZVXENiirUpI0uC4iIiIiIiIiIiIiYiENrouIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFnIoasHjx4/z66+/lmRbrFp6ejoAiYmJ5n+LiPVJTk4GlFURa6esitgGZVXENiirIrZDeRWxDUeOHClSOYPJZDIVVuj48eN4e3uTmZl5xw2zZXZ2dmRnZ5d2M0SkEAY7A6bsQndtIlLK1K+K2AZlVcQ2KKsitkPnrCK2wWBnIPmrZFq1alVgmSL9cv3XX38lMzOThIQEvL29i62BtiQxMZHRo0ff0+tAxBbkZLXvrL64G91LuzkiUoC0L9JImpCkflXEyukYWMQ2KKsitkPnrCK24cz3Z0h4OQFHR8dblivybWEAvL298ff3v6OG2aqcS3Xu5XUgYgtysupudMfT17OUWyMiBTnz/RlA/aqItdMxsIhtUFZFbIfOWUXKFj3QVERERERERERERETEQhpcFxERERERERERERGxkAbXRUREREREREREREQspMF1kQJs3rwZg8HA+fPnS7spVtUWkZIyrMowvl37bWk3A7CutoiUJdbUn1lTW0SsjTXlw5raImJtrCkf1tQWkZJiTeeJ1tSWe12xDK4PGDAAg8HApEmTck1ftWoVBoOhOBZR7FasWMETTzxB1apVMRgM7N27t7SbZPOKczvw8vJi6tSpRS4fHR2Nvb09U6ZMsWg5t/Loo49y6tQp3Nzciq1OkbLiyM4jhFcL54PeHxRbnVHpUfgE+xRbfSJlgfpWEdugrIrYBmVV5N6hc1a5W4rtl+tOTk5MnjyZjIyM4qoSgGvXrhVrfTl+//13HnvsMSZPnlwi9d+rSmo7KMycOXMYOXIkc+bMKbY6y5cvj4eHh9V+QSRSmnYk7KD1oNYc3n6YC6cuFEudru6uODg6FEtdImWJ+lYR26CsitgGZVXk3qBzVrlbim1wPTg4GA8PD6KjowssM3bsWPz8/HJNmzp1Kl5eXubXAwYM4Omnn2bChAnUqlWLRo0aATBjxgwaNmyIk5MT7u7u9OzZ0/ye7OxsoqOjqVevHhUqVMDX15dly5bdsr39+vVjzJgxBAcHW/5hpUBF2Q4Ali9fTpMmTXB0dMTLy4vY2FjzvLZt23Ls2DHCw8MxGAyFHihs2bKFP/74g6ioKC5evMi2bdtyzf/mm29o164dLi4uuLq60rx5c1JSUgA4duwYXbp0oXLlyjg7O9OkSRMSExOB/C9rmz17Np6entx33310796duLg4KlWqZJ6fs40vWLAALy8v3Nzc6NOnD5cuXTKXKcr2mpiYiNFopEKFCrRr146jR4/ech2I3E1XL19lz6o9BL4YiE+IDzsX7TTPyzyfyYKXFvBmwzeJqBXB+Bbj2bFwBwA3rt1g2chljPEew4iaI3jrobdY/9/15vf+/bK2IzuOEBMUw4iaI4h9PJZv137LsCrDOLHvBACHvjrEsCrD+H7L98Q+HkvE/RFM7TCVM4fO5GrvvsR9vN32bUbUHMG4ZuNYN3kdWTeyzPN/OfwL0zpPY0TNEUQ/Es3BTQdLZL2J3C71repbxTYoq8qq2AZlVVmVsk/nrHI3FdvXLfb29kycOJFnn32WoUOHUrt27duua8OGDbi6urJ+/c0NOCUlhaFDh7JgwQIeffRRzp07x5dffmkuHx0dTUJCAjNnzqRhw4Zs3bqVvn37Ur16ddq0aXPHn02KrijbQWpqKr169WLs2LH07t2bbdu28e9//5uqVasyYMAAVqxYga+vLy+99BKDBg0qdJnx8fGEhoZSrlw5QkNDiY+P59FHHzXPf+6552jWrBnvv/8+9vb27N27l3LlygEwePBgrl27xtatW3F2diYtLY2KFSvmu5zk5GTCwsKYPHkyXbt25YsvvmD06NF5yh0+fJhVq1axZs0aMjIy6NWrF5MmTWLChAlA4dvrTz/9xDPPPMPgwYN56aWXSElJYfjw4UVa/yJ3w55Ve6jRsAbuDd1p0asFK99YSXB4MAaDgcSJiZw+eJqXl76Mc1Vnfv3xV65fuQ7A1llb+S7pO/rP6U/l2pU5f/I8GSfz/8XQlYtXmP3sbHxCfHj+g+c599M5Vr65Mt+ya8evpdu4blSsWpGlw5eyeMhiXln3CgCHtx9m4b8W8sykZ6jfqj6/HfmNJeFLAOj4Wkeys7OZ8/wcXGq4EL4+nCsXr7DyjfyXI1Ja1LeqbxXboKwqq2IblFVlVco+nbPK3VSs1zJ0794dPz8/IiMjiY+Pv+16nJ2d+fDDDylfvjxw8/7ozs7OPPXUU7i4uFC3bl2aNWsGwNWrV5k4cSJffPEFrVq1AqB+/fp89dVXzJo1S4PrpaCw7SAuLo727dubO3mj0UhaWhpTpkxhwIABVKlSBXt7e1xcXPDw8Ljlsi5evMiyZcvYvn07AH379qV169a888475gOO48ePExERQePGjQFo2LCh+f3Hjx+nR48eNG3aFLi57RRk+vTpdOrUiREjRpjbvW3bNtasWZOrXHZ2NnPnzsXFxQW4eZXEhg0bmDBhQpG21/fff58GDRqYfxnRqFEj9u3bp1sYidXYkbCDFv9oAUDj9o354+If/JD8Aw0fa0jGiQzub3o/dZrVAaBqnarm92WczKB6g+rUf6Q+BoOBKp5VClxG6vJUDAYDvaf2ppxTOTwae3Dh1AWWDFuSp2zn/3TmgcAHAAgeFswHvT/g+pXrlHMqx2cxn9F+WHsCQgMAqOZVjSffeJLVY1fT8bWOfL/5e84cOkPYsjDcarqZ65vVa1bxrCyRYqK+VX2r2AZlVVkV26CsKqtStumcVe6mYrstTI7Jkyczb9480tPTb7uOpk2bmgfWAUJCQqhbty7169enX79+LFy4kMzMTAB++OEHMjMzCQkJoWLFiua/+fPnc/jw4Tv+PHJ7brUdpKenExgYmGtaYGAghw4dIisrK0/5W1m0aBENGjTA19cXAD8/P+rWrcuSJX/uzF599VUGDhxIcHAwkyZNyrVdDB06lPHjxxMYGEhkZCTfflvwk5YPHjxIQEBArml/fw03H2yTc5ACULNmTc6ePQsUbXtNT0/n4YcfzlVnzkGNSGk7c+gMx3Yfw7+HPwD2DvY0696MHQk3L6MLfCGQPSv3EBMUw+rI1RzZccT83oDQAE7uO8nEgIksf305BzYeKHA5Zw+dpVaTWpRzKmeeVrd53XzL1mpSy/xvV3dXAC7/ehmAk9+d5PMpnzPSc6T5b8mwJVw8fZFrmdc48/0ZKt9f2XyQAuAV4GXhWhG5O9S3qm8V26CsKqtiG5RVZVXKJp2zyt1W7IPrQUFBdOjQgVGjRuVdmJ0dJpMp17Tr16/nKefs7JzrtYuLC7t372bRokXUrFmTMWPG4Ovry/nz57l8+ebGuHbtWvbu3Wv+S0tLK/S+61JybrUdFKf4+Hj279+Pg4OD+S8tLS3XQ2LGjh3L/v376dy5Mxs3bsTHx4eVK29eQjNw4EB+/PFH+vXrx759+2jRogXTp0+/ozblXL6Xw2AwkJ2dDaDtVWzejoQdZN/IJtInklerv8qr1V8leU4y33z6DX9c/AOfEB8iv4mk7b/acuH0BWZ0n8H/Rv8PAE9fT8bsGUOnUZ24/sd15r44l4/6f3THbbIr95eu7P9ud5mTuWu/X6Pj6x2J2BJh/hv51UjeTHkTByc9iEZsi/rWP6lvFWumrP5JWRVrpqz+SVmVskTnrHK3lcj/0qRJk/Dz8zM/jDRH9erVOX36NCaTyfzAj7179xapTgcHB4KDgwkODiYyMpJKlSqxceNGQkJCcHR05Pjx47oFjJUpaDvw9vYmOTk517Tk5GSMRiP29vbAzaeeF/aLgH379pGSksLmzZupUuXPS3XOnTtH27ZtOXDggPmyOqPRiNFoJDw8nNDQUD766CO6d+8OgKenJ2FhYYSFhTFq1Chmz57NkCFD8iyvUaNG7Nq1K9e0v78ujI+PT6Hbq7e3N6tXr8417euvv7ZoOSIlIetGFruW7KLbuG40btc417z4fvHsXr6bwBcCqVitIgGhAQSEBpDcKpnVY1bTbVw3AJxcnfB/xh//Z/zx7erLrH/M4veM33GunPtL1RoNa5DySQo3rt4wP439+O7jFre59kO1OXvoLNXrV893vrvRnYyTGVw4fQE3j5u/BDi666jFyxG5W9S35qW+VayRspqXsirWSFnNS1kVW6ZzVikNJTK43rRpU5577jmmTZuWa3rbtm355ZdfiImJoWfPnqxbt46kpCRcXV1vWd+aNWv48ccfCQoKonLlyiQmJpKdnU2jRo1wcXFhxIgRhIeHk52dzWOPPcaFCxdITk7G1dWV/v3751vnuXPnOH78OD///DNw8/IpAA8Pj0LvmSZFU9B2MHz4cFq2bMm4cePo3bs327dv591332XGjBnmMl5eXmzdupU+ffrg6OhItWrV8tQfHx9PQEAAQUFBeea1bNmS+Ph4oqKiiIiIoGfPntSrV48TJ06wa9cuevToAcCwYcPo1KkTRqORjIwMNm3ahLe3d76fZ8iQIQQFBREXF0eXLl3YuHEjSUlJhT4Z/q+Ksr2GhYURGxtLREQEAwcOJDU1lblz5xZ5GSIlZf9n+8k8n8kj/R6hgmuFXPMe6vIQXyd8zYVTF/D088SjsQc3rt4g7bM03I3uAGx6bxOuHq7Ublobg52Bb/73Da7urlRwq5BnWc17NGft+LUsCV9C+1fak3Eig43vbgSwKHNPRDzB7NDZVK5dGd+uvhjsDPz83c+cOnCKzm92xtjWSI0GNfj43x/TNaorVy5dIXFC4h2sJZGSpb41L/WtYo2U1byUVbFGympeyqrYMp2zSmko9tvC5IiKijJf4pDD29ubGTNm8N577+Hr68vOnTvND9q4lUqVKrFixQoef/xxvL29mTlzJosWLaJJkyYAjBs3jtGjRxMdHY23tzcdO3Zk7dq11KtXr8A6V69eTbNmzejcuTMAffr0oVmzZsycOfMOPrX8XX7bgb+/P0uXLmXx4sU8+OCDjBkzhqioKAYMGJDrfUePHqVBgwZUr57327tr166RkJBgPuD4ux49ejB//nzs7Oz47bffeP755zEajfTq1YtOnTrx1ltvAZCVlcXgwYPN243RaMx1wPRXgYGBzJw5k7i4OHx9fVm3bh3h4eE4OTlZtE4K217r1KnD8uXLWbVqFb6+vsycOZOJEydatAyRkrAjYQeN2jTKc5AC4NvFl5/2/ISdgx1rotYQ0zqG6U9Nx2BvoH/8zS85nSo6sXHaRmLbxxLXPo5zP53jpSUvYWeXtytycnVi0MeDOLnvJFPaTCFxQiIdRnYAMP8qoCi823szaNEgDm46SFxwHFOfmMrm9zdTpfbNXw7Z2dnx4oIXuX7lOnHBcSx+ZTFPvvnk7awekbtGfWte6lvFGimreSmrYo2U1byUVbFVOmeV0mAw/f0m6PnYvXs3zZs3JzU1FX9//7vRLquzcOFC+vbte0+vA8lr0KBBHDhwgC+//LK0myL/JyerwzcNx9PXs7SbI8Uo5ZMUFv2/RUQfjaZ8hfKFv0GsWsonKSS8nKB+VfJQ32pddAwsBVFWrYuyKgVRVq2PzlnLLp2zli0/ffMTse1iC+1bdWd8EQu8/fbbhISE4OzsTFJSEvPmzSvwVwMicmd2Lt5JNa9quNV04+R3J/l07Kf4Pe2ngxSRMkZ9q4htUFZFbIOyKnL36JxVQIPrIhbZuXMnMTExXLp0ifr16zNt2jQGDhxY2s0SKZMunb1EUnQSl85ewtXdFb9ufnT+T+fSbpaIFDP1rSK2QVkVsQ3Kqsjdo3NWAQ2ui1hk6dKlpd0EkXtG+6HtaT+0fWk3Q0RKmPpWEdugrIrYBmVV5O7ROatACT7QVERERERERERERESkrNLguoiIiIiIiIiIiIiIhTS4LiIiIiIiIiIiIiJiIQ2ui4iIiIiIiIiIiIhYyKIHmiYmJpKenl5SbbFqycnJwL29DkRsQU5W075I48z3Z0q5NSJSkB93/AioXxWxdjoGFrENyqqI7dA5q4ht+O34b0UqZzCZTKbCCm3fvp3WrVuTlZV1xw2zZXZ2dmRnZ5d2M0SkEMqqiG0w2BkwZRd6GCIipUz9qohtUFZFbIfyKmIb7Ozt+OrLr2jVqlWBZYr0y3VHR0eysrJISEjA29u72BpoSxITExk9evQ9vQ5EbIGyKmIbcrLad1Zf3I3upd0cESlA2hdpJE1IUr8qYuV0DCxiO5RXEduQnp5O3759cXR0vGU5i24L4+3tjb+//x01zFblXFp3L68DEVugrIrYhpysuhvd8fT1LOXWiEhBci5XV78qYt10DCxiO5RXkbJFDzQVEREREREREREREbGQBtdFRERERERERERERCykwXUREREREREREREREQtpcF2kAJs3b8ZgMHD+/PnSbopVtUXEGllTRqypLSIlYViVYXy79tvSbgZgXW0RKUusqS+zpraIWBtryoc1tUXE2lhTPqypLWVFsQyuDxgwAIPBwKRJk3JNX7VqFQaDoTgWUayuX7/Oa6+9RtOmTXF2dqZWrVo8//zz/Pzzz6XdNJtWnNuBl5cXU6dOLXL56Oho7O3tmTJlikXLuZVHH32UU6dO4ebmVmx1ilgL5VXk3nBk5xHCq4XzQe8Piq3OqPQofIJ9iq0+kbJA/aqIbVBWRWyDsiq2pNh+ue7k5MTkyZPJyMgorioBuHbtWrHWB5CZmcnu3bsZPXo0u3fvZsWKFRw8eJCuXbsW+7LuNSW1HRRmzpw5jBw5kjlz5hRbneXLl8fDw8MqvyASKQ7Kq0jZtyNhB60Htebw9sNcOHWhWOp0dXfFwdGhWOoSKUvUr4rYBmVVxDYoq2Irim1wPTg4GA8PD6KjowssM3bsWPz8/HJNmzp1Kl5eXubXAwYM4Omnn2bChAnUqlWLRo0aATBjxgwaNmyIk5MT7u7u9OzZ0/ye7OxsoqOjqVevHhUqVMDX15dly5YV2A43NzfWr19Pr169aNSoEY888gjvvvsuqampHD9+/PZWgABF2w4Ali9fTpMmTXB0dMTLy4vY2FjzvLZt23Ls2DHCw8MxGAyF7ny2bNnCH3/8QVRUFBcvXmTbtm255n/zzTe0a9cOFxcXXF1dad68OSkpKQAcO3aMLl26ULlyZZydnWnSpAmJiYlA/pfKzJ49G09PT+677z66d+9OXFwclSpVMs/P2cYXLFiAl5cXbm5u9OnTh0uXLpnLFGV7TUxMxGg0UqFCBdq1a8fRo0dvuQ5EbofyqrxK2Xb18lX2rNpD4IuB+IT4sHPRTvO8zPOZLHhpAW82fJOIWhGMbzGeHQt3AHDj2g2WjVzGGO8xjKg5grceeov1/11vfu/fb8VyZMcRYoJiGFFzBLGPx/Lt2m8ZVmUYJ/adAODQV4cYVmUY32/5ntjHY4m4P4KpHaZy5tCZXO3dl7iPt9u+zYiaIxjXbBzrJq8j60aWef4vh39hWudpjKg5guhHojm46WCJrDeR26V+Vf2q2AZlVVkV26CsKqu2otgG1+3t7Zk4cSLTp0/nxIkTd1TXhg0bOHjwIOvXr2fNmjWkpKQwdOhQoqKiOHjwIOvWrSMoKMhcPjo6mvnz5zNz5kz2799PeHg4ffv2ZcuWLUVe5oULFzAYDLk2ZLFcUbaD1NRUevXqRZ8+fdi3bx9jx45l9OjRzJ07F4AVK1ZQu3ZtoqKiOHXqFKdOnbrlMuPj4wkNDaVcuXKEhoYSHx+fa/5zzz1H7dq12bVrF6mpqbz++uuUK1cOgMGDB3P16lW2bt3Kvn37mDx5MhUrVsx3OcnJyYSFhfHKK6+wd+9eQkJCmDBhQp5yhw8fZtWqVaxZs4Y1a9awZcuWXJcyFba9/vTTTzzzzDN06dKFvXv3MnDgQF5//fVbrgOR26G8Kq9Stu1ZtYcaDWvg3tCdFr1asGPhDkwmEwCJExM5ffA0Ly99mde/fp1/vP0PnKs6A7B11la+S/qO/nP688bON+j3QT+q1KmS7zKuXLzC7GdnU8unFiM2jaDTqE58+tan+ZZdO34t3cZ1Y/iG4dg52LF4yGLzvMPbD7PwXwsJejmI17e/Tq+4XuxctJP1sTcH9bOzs5nz/BwcyjsQvj6cXnG9ClyOSGlRv6p+VWyDsqqsim1QVpVVW1Gs1/R2794dPz8/IiMj82yAlnB2dubDDz+kfPnywM0wODs789RTT+Hi4kLdunVp1qwZAFevXmXixIl88cUXtGrVCoD69evz1VdfMWvWLNq0aVPo8q5cucJrr71GaGgorq6ut91uuamw7SAuLo727dszevRoAIxGI2lpaUyZMoUBAwZQpUoV7O3tcXFxwcPD45bLunjxIsuWLWP79u0A9O3bl9atW/POO++Yd2LHjx8nIiKCxo0bA9CwYUPz+48fP06PHj1o2rQpcHPbKcj06dPp1KkTI0aMMLd727ZtrFmzJle57Oxs5s6di4uLCwD9+vVjw4YNTJgwoUjb6/vvv0+DBg3M37Y2atTIvGMWKW7Kq/IqZdeOhB20+EcLABq3b8wfF//gh+QfaPhYQzJOZHB/0/up06wOAFXrVDW/L+NkBtUbVKf+I/UxGAxU8cx/YB0gdXkqBoOB3lN7U86pHB6NPbhw6gJLhi3JU7bzfzrzQOADAAQPC+aD3h9w/cp1yjmV47OYz2g/rD0BoQEAVPOqxpNvPMnqsavp+FpHvt/8PWcOnSFsWRhuNd3M9c3qNat4VpZIMVG/qn5VbIOyqqyKbVBWlVVbUGy/XM8xefJk5s2bR3p6+m3X0bRpU/PAOkBISAh169alfv369OvXj4ULF5KZmQnADz/8QGZmJiEhIVSsWNH8N3/+fA4fPlzosq5fv06vXr0wmUy8//77t91mye1W20F6ejqBgYG5pgUGBnLo0CGysrLylL+VRYsW0aBBA3x9fQHw8/Ojbt26LFny50n9q6++ysCBAwkODmbSpEm5touhQ4cyfvx4AgMDiYyM5Ntvv82zjBwHDx4kICAg17S/v4abD8vI2fEB1KxZk7NnzwJF217T09N5+OGHc9WZs6MUKQnKq/IqZc+ZQ2c4tvsY/j38AbB3sKdZ92bsSLh565fAFwLZs3IPMUExrI5czZEdR8zvDQgN4OS+k0wMmMjy15dzYOOBApdz9tBZajWpRTmncuZpdZvXzbdsrSa1zP92db/5Y4bLv14G4OR3J/l8yueM9Bxp/lsybAkXT1/kWuY1znx/hsr3VzYPrAN4BXhZuFZE7g71q+pXxTYoq8qq2AZlVVm1dsU+uB4UFESHDh0YNWpU3oXZ2ZkvR85x/fr1POWcnZ1zvXZxcWH37t0sWrSImjVrMmbMGHx9fTl//jyXL988KVu7di179+41/6Wlpd3yvus5y+7VqxfHjh1j/fr1+tV6MbrVdlCc4uPj2b9/Pw4ODua/tLS0XA+eGDt2LPv376dz585s3LgRHx8fVq5cCcDAgQP58ccf6devH/v27aNFixZMnz79jtqUc0lQDoPBQHZ2NsAdba8iJUV5/ZPyKmXFjoQdZN/IJtInklerv8qr1V8leU4y33z6DX9c/AOfEB8iv4mk7b/acuH0BWZ0n8H/Rv8PAE9fT8bsGUOnUZ24/sd15r44l4/6f3THbbIr95fDzv+73WVO3q79fo2Or3ckYkuE+W/kVyN5M+VNHJz08FSxLepX/6R+VayZsvonZVWsmbL6J2XVOpXI2cqkSZPw8/MzP4w0R/Xq1Tl9+jQmk8n8EIG9e/cWqU4HBweCg4MJDg4mMjKSSpUqsXHjRkJCQnB0dOT48eNFugVMjpyB9UOHDrFp0yaqVq1a+JvEIgVtB97e3iQnJ+ealpycjNFoxN7eHrj5JOXCvmXct28fKSkpbN68mSpV/rxk/dy5c7Rt25YDBw6YL9UxGo0YjUbCw8MJDQ3lo48+onv37gB4enoSFhZGWFgYo0aNYvbs2QwZMiTP8ho1asSuXbtyTfv768L4+PgUur16e3uzevXqXNO+/vpri5YjYinlNS/lVWxV1o0sdi3ZRbdx3WjcrnGuefH94tm9fDeBLwRSsVpFAkIDCAgNILlVMqvHrKbbuG4AOLk64f+MP/7P+OPb1ZdZ/5jF7xm/41w59w8gajSsQconKdy4egMHx5uHlcd3W/5w+NoP1ebsobNUr1893/nuRncyTmZw4fQF3Dxu/nr96K6jFi9H5G5Rv5qX+lWxRspqXsqqWCNlNS9l1XqUyOB606ZNee6555g2bVqu6W3btuWXX34hJiaGnj17sm7dOpKSkgr9xfiaNWv48ccfCQoKonLlyiQmJpKdnU2jRo1wcXFhxIgRhIeHk52dzWOPPcaFCxdITk7G1dWV/v3756nv+vXr9OzZk927d7NmzRqysrI4ffo0AFWqVMl1Sxq5fQVtB8OHD6dly5aMGzeO3r17s337dt59911mzJhhLuPl5cXWrVvp06cPjo6OVKtWLU/98fHxBAQE5Hq4bY6WLVsSHx9PVFQUERER9OzZk3r16nHixAl27dpFjx49ABg2bBidOnXCaDSSkZHBpk2b8Pb2zvfzDBkyhKCgIOLi4ujSpQsbN24kKSmp0KdN/1VRttewsDBiY2OJiIhg4MCBpKammh/GIVJSlNe8lFexVfs/20/m+Uwe6fcIFVwr5Jr3UJeH+Drhay6cuoCnnycejT24cfUGaZ+l4W50B2DTe5tw9XCldtPaGOwMfPO/b3B1d6WCW4U8y2reozlrx69lSfgS2r/SnowTGWx8dyOARXl7IuIJZofOpnLtyvh29cVgZ+Dn737m1IFTdH6zM8a2Rmo0qMHH//6YrlFduXLpCokTEu9gLYmULPWrealfFWukrOalrIo1UlbzUlatR7HfFiZHVFSU+VKFHN7e3syYMYP33nsPX19fdu7cab55/61UqlSJFStW8Pjjj+Pt7c3MmTNZtGgRTZo0AWDcuHGMHj2a6OhovL296dixI2vXrqVevXr51nfy5ElWr17NiRMn8PPzo2bNmua/bdu23fmHF7P8tgN/f3+WLl3K4sWLefDBBxkzZgxRUVEMGDAg1/uOHj1KgwYNqF4976/Yrl27RkJCgnkn9nc9evRg/vz52NnZ8dtvv/H8889jNBrp1asXnTp14q233gIgKyuLwYMHm7cbo9GYayf8V4GBgcycOZO4uDh8fX1Zt24d4eHhODk5WbROCtte69Spw/Lly1m1ahW+vr7MnDmTiRMnWrQMkduhvOalvIot2pGwg0ZtGuUZWAfw7eLLT3t+ws7BjjVRa4hpHcP0p6ZjsDfQP/7mDxKcKjqxcdpGYtvHEtc+jnM/neOlJS9hZ5f3sNHJ1YlBHw/i5L6TTGkzhcQJiXQY2QHA/Ev2ovBu782gRYM4uOkgccFxTH1iKpvf30yV2jd/OWRnZ8eLC17k+pXrxAXHsfiVxTz55pO3s3pE7hr1q3mpXxVrpKzmpayKNVJW81JWrYPB9PeboOdj9+7dNG/enNTUVPz9/e9Gu6zOwoUL6du37z29DiSvQYMGceDAAb788svSbor8H2VVCqK8WpecrA7fNBxPX8/Sbo4Uo5RPUlj0/xYRfTSa8hV0NaCtS/kkhYSXE9SvSh7qV62LjoGlIMqq9VFeJT/KqvUp6ni4nhAlYoG3336bkJAQnJ2dSUpKYt68eQV+EykipUt5Fbk7di7eSTWvarjVdOPkdyf5dOyn+D3tp4F1kTJG/aqIbVBWRWyDslp2aHBdxAI7d+4kJiaGS5cuUb9+faZNm8bAgQNLu1kikg/lVeTuuHT2EknRSVw6ewlXd1f8uvnR+T+dS7tZIlLM1K+K2AZlVcQ2KKtlhwbXRSywdOnS0m6CiBSR8ipyd7Qf2p72Q9uXdjNEpISpXxWxDcqqiG1QVsuOEnugqYiIiIiIiIiIiIhIWaXBdRERERERERERERERC2lwXURERERERERERETEQhbdcz0xMZH09PSSaotVS05OBu7tdSBiC5RVEduQk9W0L9I48/2ZUm6NiBTkxx0/AupXRaydjoFFbIfyKmIbjhw5UqRyBpPJZCqs0Pbt22ndujVZWVl33DBbZmdnR3Z2dmk3Q0QKYbAzYMoudNcmIqVM/aqIbVC/KmIblFUR26HjYBHbYG9vz5dffkmrVq0KLFOkX647OjqSlZVFQkIC3t7exdZAW5KYmMjo0aPv6XUgYgtystp3Vl/cje6l3RwRKUDaF2kkTUhSvypi5dSvitiGnH5VWRWxfjoOFrEN6enp9O3bF0dHx1uWs+i2MN7e3vj7+99Rw2xVzqU69/I6ELEFOVl1N7rj6etZyq0RkYLk3ApG/aqIdVO/KmIbcvpVZVXE+uk4WKRs0QNNRUREREREREREREQspMF1ERERERERERERERELaXBdRERERERERERERMRCGlwXKcDmzZsxGAycP3++tJtiVW0RKSnDqgzj27XflnYzAOtqi0hZYk39mTW1RaQkWFNfZk1tEbFG1pQRa2qLSFlhTced1tSWsqJYBtcHDBiAwWBg0qRJuaavWrUKg8FQHIsodmPHjqVx48Y4OztTuXJlgoOD2bFjR2k3y6YV53bg5eXF1KlTi1w+Ojoae3t7pkyZYtFybuXRRx/l1KlTuLm5FVudImXFkZ1HCK8Wzge9Pyi2OqPSo/AJ9im2+kTKAvWtIvcG9asitkN5FSl5OgYWW1Jsv1x3cnJi8uTJZGRkFFeVAFy7dq1Y68thNBp599132bdvH1999RVeXl488cQT/PLLLyWyvHtFSW0HhZkzZw4jR45kzpw5xVZn+fLl8fDwsNoviERK046EHbQe1JrD2w9z4dSFYqnT1d0VB0eHYqlLpCxR3ypS9qlfFbEdyqvI3aFjYLEVxTa4HhwcjIeHB9HR0QWWGTt2LH5+frmmTZ06FS8vL/PrAQMG8PTTTzNhwgRq1apFo0aNAJgxYwYNGzbEyckJd3d3evbsaX5PdnY20dHR1KtXjwoVKuDr68uyZctu2d5nn32W4OBg6tevT5MmTYiLi+PixYt8+60uf7oTRdkOAJYvX06TJk1wdHTEy8uL2NhY87y2bdty7NgxwsPDMRgMhe58tmzZwh9//EFUVBQXL15k27ZtueZ/8803tGvXDhcXF1xdXWnevDkpKSkAHDt2jC5dulC5cmWcnZ1p0qQJiYmJQP6XysyePRtPT0/uu+8+unfvTlxcHJUqVTLPz9nGFyxYgJeXF25ubvTp04dLly6ZyxRle01MTMRoNFKhQgXatWvH0aNHb7kORO6mq5evsmfVHgJfDMQnxIedi3aa52Wez2TBSwt4s+GbRNSKYHyL8exYePOqoBvXbrBs5DLGeI9hRM0RvPXQW6z/73rze/9+CeqRHUeICYphRM0RxD4ey7drv2VYlWGc2HcCgENfHWJYlWF8v+V7Yh+PJeL+CKZ2mMqZQ2dytXdf4j7ebvs2I2qOYFyzcaybvI6sG1nm+b8c/oVpnacxouYIoh+J5uCmgyWy3kRul/pW9a1StqlfFbEdyqvI3aNjYB0D24pi+2rU3t6eiRMn8uyzzzJ06FBq165923Vt2LABV1dX1q+/2dmkpKQwdOhQFixYwKOPPsq5c+f48ssvzeWjo6NJSEhg5syZNGzYkK1bt9K3b1+qV69OmzZtCl3etWvX+OCDD3Bzc8PX1/e22y1F2w5SU1Pp1asXY8eOpXfv3mzbto1///vfVK1alQEDBrBixQp8fX156aWXGDRoUKHLjI+PJzQ0lHLlyhEaGkp8fDyPPvqoef5zzz1Hs2bNeP/997G3t2fv3r2UK1cOgMGDB3Pt2jW2bt2Ks7MzaWlpVKxYMd/lJCcnExYWxuTJk+natStffPEFo0ePzlPu8OHDrFq1ijVr1pCRkUGvXr2YNGkSEyZMAArfXn/66SeeeeYZBg8ezEsvvURKSgrDhw8v0voXuRv2rNpDjYY1cG/oToteLVj5xkqCw4MxGAwkTkzk9MHTvLz0ZZyrOvPrj79y/cp1ALbO2sp3Sd/Rf05/KteuzPmT58k4mf+vEK5cvMLsZ2fjE+LD8x88z7mfzrHyzZX5ll07fi3dxnWjYtWKLB2+lMVDFvPKulcAOLz9MAv/tZBnJj1D/Vb1+e3IbywJXwJAx9c6kp2dzZzn5+BSw4Xw9eFcuXiFlW/kvxyR0qK+VX2rlG3qV0Vsh/IqcvfoGFjHwLaiWK876t69O35+fkRGRhIfH3/b9Tg7O/Phhx9Svnx5AFasWIGzszNPPfUULi4u1K1bl2bNmgFw9epVJk6cyBdffEGrVq0AqF+/Pl999RWzZs265eD6mjVr6NOnD5mZmdSsWZP169dTrVq122633FTYdhAXF0f79u3NOw6j0UhaWhpTpkxhwIABVKlSBXt7e1xcXPDw8Ljlsi5evMiyZcvYvn07AH379qV169a888475p3Y8ePHiYiIoHHjxgA0bNjQ/P7jx4/To0cPmjZtCtzcdgoyffp0OnXqxIgRI8zt3rZtG2vWrMlVLjs7m7lz5+Li4gJAv3792LBhAxMmTCjS9vr+++/ToEED87etjRo1Yt++fUyePPmW60LkbtmRsIMW/2gBQOP2jfnj4h/8kPwDDR9rSMaJDO5vej91mtUBoGqdqub3ZZzMoHqD6tR/pD4Gg4EqnlUKXEbq8lQMBgO9p/amnFM5PBp7cOHUBZYMW5KnbOf/dOaBwAcACB4WzAe9P+D6leuUcyrHZzGf0X5YewJCAwCo5lWNJ994ktVjV9PxtY58v/l7zhw6Q9iyMNxqupnrm9VrVvGsLJFior5VfauUXepXRWyH8ipyd+kYWMfAtqDYbguTY/LkycybN4/09PTbrqNp06bmgXWAkJAQ6tatS/369enXrx8LFy4kMzMTgB9++IHMzExCQkKoWLGi+W/+/PkcPnz4lstp164de/fuZdu2bXTs2JFevXpx9uzZ2263/OlW20F6ejqBgYG5pgUGBnLo0CGysrLylL+VRYsW0aBBA/MVB35+ftStW5clS/488Hj11VcZOHAgwcHBTJo0Kdd2MXToUMaPH09gYCCRkZG3vC3QwYMHCQgIyDXt76/h5sMycnZ8ADVr1jRvV0XZXtPT03n44Ydz1ZmzoxQpbWcOneHY7mP49/AHwN7Bnmbdm7Ej4eYlr4EvBLJn5R5igmJYHbmaIzuOmN8bEBrAyX0nmRgwkeWvL+fAxgMFLufsobPUalKLck7lzNPqNq+bb9laTWqZ/+3q7grA5V8vA3Dyu5N8PuVzRnqONP8tGbaEi6cvci3zGme+P0Pl+yubTygAvAK8LFwrIneH+lb1rVL2qF8VsR3Kq0jp0DGwjoGtXbE/MSMoKIgOHTowatQoBgwYkGuenZ0dJpMp17Tr16/nqcPZ2TnXaxcXF3bv3s3mzZv5/PPPGTNmDGPHjmXXrl1cvnyz41i7di33339/rvc5Ojresq3Ozs488MADPPDAAzzyyCM0bNiQ+Ph4Ro0aVdSPKwW41XZQnOLj49m/fz8ODn9uytnZ2cyZM4d//vOfwM37VD377LOsXbuWpKQkIiMjWbx4Md27d2fgwIF06NCBtWvX8vnnnxMdHU1sbCxDhgy57TblXBKUw2AwkJ2dDXBH26uINdiRsIPsG9lE+kSap5lMJhwcHegR0wOfEB8iv4kkbX0aBzcfZEb3GTz2z8foNq4bnr6ejNkzhrQv0vh+y/fMfXEujdo04oV5L9xRm+zK/eV74v+7hV5O5q79fo2Or3fkoaceyvM+Byc9NEpsi/rWP6lvlbJC/aqI7VBeRUqHjoH/pGNg61Qie9RJkybh5+dnfhhpjurVq3P69GlMJpP5IQJ79+4tUp0ODg4EBwcTHBxMZGQklSpVYuPGjYSEhODo6Mjx48eLdH/1W8nOzubq1at3VIf8qaDtwNvbm+Tk5FzTkpOTMRqN2NvbAzefpFzYt4z79u0jJSWFzZs3U6XKn5fVnTt3jrZt23LgwAHzpTpGoxGj0Uh4eDihoaF89NFHdO/eHQBPT0/CwsIICwtj1KhRzJ49O9+dX6NGjdi1a1euaX9/XRgfH59Ct1dvb29Wr16da9rXX39t0XJESkLWjSx2LdlFt3HdaNyuca558f3i2b18N4EvBFKxWkUCQgMICA0guVUyq8esptu4bgA4uTrh/4w//s/449vVl1n/mMXvGb/jXDn3l6o1GtYg5ZMUbly9gYPjza7q+O7jFre59kO1OXvoLNXrV893vrvRnYyTGVw4fQE3j5u/2jm666jFyxG5W9S35qW+VWyV+lUR26G8ipQuHQPnpWNg61Eig+tNmzblueeeY9q0abmmt23bll9++YWYmBh69uzJunXrSEpKwtXV9Zb1rVmzhh9//JGgoCAqV65MYmIi2dnZNGrUCBcXF0aMGEF4eDjZ2dk89thjXLhwgeTkZFxdXenfv3+e+n7//XcmTJhA165dqVmzJr/++ivvvfceJ0+e5B//+Eexrot7WUHbwfDhw2nZsiXjxo2jd+/ebN++nXfffZcZM2aYy3h5ebF161b69OmDo6NjvvfCj4+PJyAggKCgoDzzWrZsSXx8PFFRUURERNCzZ0/q1avHiRMn2LVrFz169ABg2LBhdOrUCaPRSEZGBps2bcLb2zvfzzNkyBCCgoKIi4ujS5cubNy4kaSkpEKfNv1XRdlew8LCiI2NJSIigoEDB5KamsrcuXOLvAyRkrL/s/1kns/kkX6PUMG1Qq55D3V5iK8TvubCqQt4+nni0diDG1dvkPZZGu5GdwA2vbcJVw9XajetjcHOwDf/+wZXd1cquFXIs6zmPZqzdvxaloQvof0r7ck4kcHGdzcCWJS5JyKeYHbobCrXroxvV18MdgZ+/u5nTh04Rec3O2Nsa6RGgxp8/O+P6RrVlSuXrpA4IfEO1pJIyVLfmpf6VrFV6ldFbIfyKlK6dAycl46BrUex33M9R1RUlPlShRze3t7MmDGD9957D19fX3bu3Gm+ef+tVKpUiRUrVvD444/j7e3NzJkzWbRoEU2aNAFg3LhxjB49mujoaLy9venYsSNr166lXr16+dZnb2/PgQMH6NGjB0ajkS5duvDbb7/x5ZdfmuuU4pHfduDv78/SpUtZvHgxDz74IGPGjCEqKirX5T1RUVEcPXqUBg0aUL163m/ar127RkJCgnkn9nc9evRg/vz52NnZ8dtvv/H8889jNBrp1asXnTp14q233gIgKyuLwYMHm7cbo9GYayf8V4GBgcycOZO4uDh8fX1Zt24d4eHhODk5WbROCtte69Spw/Lly1m1ahW+vr7MnDmTiRMnWrQMkZKwI2EHjdo0ynNCAeDbxZef9vyEnYMda6LWENM6hulPTcdgb6B//M0vOZ0qOrFx2kZi28cS1z6Ocz+d46UlL2Fnl7crcnJ1YtDHgzi57yRT2kwhcUIiHUZ2ADD/gqcovNt7M2jRIA5uOkhccBxTn5jK5vc3U6X2zV8j2NnZ8eKCF7l+5TpxwXEsfmUxT7755O2sHpG7Rn1rXupbxRapXxWxHcqrSOnTMXBeOga2DgbT32+Cno/du3fTvHlzUlNT8ff3vxvtsjoLFy6kb9++9/Q6kLwGDRrEgQMH+PLLL0u7KfJ/crI6fNNwPH09S7s5UoxSPklh0f9bRPTRaMpXKF/4G8SqpXySQsLLCepXJQ/1rdZF/WrZpX61bMnpV5XVskl5LVt0HCz50TGw9SnqeLieYiFigbfffpuQkBCcnZ1JSkpi3rx5BX4TKSJ3ZufinVTzqoZbTTdOfneST8d+it/TfjqhEClj1LeK3B3qV0Vsh/IqUvbpGLjs0OC6iAV27txJTEwMly5don79+kybNo2BAweWdrNEyqRLZy+RFJ3EpbOXcHV3xa+bH53/07m0myUixUx9q8jdoX5VxHYoryJln46Byw4NrotYYOnSpaXdBJF7Rvuh7Wk/tH1pN0NESpj6VpG7Q/2qiO1QXkXKPh0Dlx0l9kBTEREREREREREREZGySoPrIiIiIiIiIiIiIiIW0uC6iIiIiIiIiIiIiIiFNLguIiIiIiIiIiIiImIhix5ompiYSHp6ekm1xaolJycD9/Y6ELEFOVlN+yKNM9+fKeXWiEhBftzxI6B+VcTaqV8VsQ05/aqyKmL9dBwsYhuOHDlSpHIGk8lkKqzQ9u3bad26NVlZWXfcMFtmZ2dHdnZ2aTdDRAqhrIrYBoOdAVN2oYchIlLKlFUR26CsitgOnbOK2AZ7e3u+/PJLWrVqVWCZIv1y3dHRkaysLBISEvD29i62BtqSxMRERo8efU+vAxFboKyK2IacrPad1Rd3o3tpN0dECpD2RRpJE5KUVRErp6yK2I6cvOqcVcS6paen07dvXxwdHW9ZzqLbwnh7e+Pv739HDbNVOZfq3MvrQMQWKKsitiEnq+5Gdzx9PUu5NSJSkJzbSyirItZNWRWxHTl51TmrSNmgB5qKiIiIiIiIiIiIiFhIg+siIiIiIiIiIiIiIhbS4LpIATZv3ozBYOD8+fOl3RSraouINbKmjFhTW0RKwrAqw/h27bel3QzAutoiYm2sKR/W1BYRa2RNGbGmtoiUFdZ0jmhNbSkrimVwfcCAARgMBiZNmpRr+qpVqzAYDMWxiBIVFhaGwWBg6tSppd0Um1ac24GXl5dF/x/R0dHY29szZcoUi5ZzK48++iinTp3Czc2t2OoUsRbKq8i94cjOI4RXC+eD3h8UW51R6VH4BPsUW30ioqyK2BLlVaTk6XxVbEmx/XLdycmJyZMnk5GRUVxVAnDt2rVire/vVq5cyddff02tWrVKdDn3ipLaDgozZ84cRo4cyZw5c4qtzvLly+Ph4WETXxCJ3A7lVaTs25Gwg9aDWnN4+2EunLpQLHW6urvi4OhQLHWJyE3KqojtUF5F7g6dr4qtKLbB9eDgYDw8PIiOji6wzNixY/Hz88s1berUqXh5eZlfDxgwgKeffpoJEyZQq1YtGjVqBMCMGTNo2LAhTk5OuLu707NnT/N7srOziY6Opl69elSoUAFfX1+WLVtWaJtPnjzJkCFDWLhwIeXKlbPsA0u+irIdACxfvpwmTZrg6OiIl5cXsbGx5nlt27bl2LFjhIeHYzAYCt35bNmyhT/++IOoqCguXrzItm3bcs3/5ptvaNeuHS4uLri6utK8eXNSUlIAOHbsGF26dKFy5co4OzvTpEkTEhMTgfwvlZk9ezaenp7cd999dO/enbi4OCpVqmSen7ONL1iwAC8vL9zc3OjTpw+XLl0ylynK9pqYmIjRaKRChQq0a9eOo0eP3nIdiNwO5VV5lbLt6uWr7Fm1h8AXA/EJ8WHnop3meZnnM1nw0gLebPgmEbUiGN9iPDsW7gDgxrUbLBu5jDHeYxhRcwRvPfQW6/+73vzev18ufmTHEWKCYhhRcwSxj8fy7dpvGVZlGCf2nQDg0FeHGFZlGN9v+Z7Yx2OJuD+CqR2mcubQmVzt3Ze4j7fbvs2ImiMY12wc6yavI+tGlnn+L4d/YVrnaYyoOYLoR6I5uOlgiaw3kbtNWRWxHcqryN2j81Wdr9qKYvtq1N7enokTJ/Lss88ydOhQateufdt1bdiwAVdXV9avv9nZpKSkMHToUBYsWMCjjz7KuXPn+PLLL83lo6OjSUhIYObMmTRs2JCtW7fSt29fqlevTps2bfJdRnZ2Nv369SMiIoImTZrcdlslt6JsB6mpqfTq1YuxY8fSu3dvtm3bxr///W+qVq3KgAEDWLFiBb6+vrz00ksMGjSo0GXGx8cTGhpKuXLlCA0NJT4+nkcffdQ8/7nnnqNZs2a8//772Nvbs3fvXvOXKYMHD+batWts3boVZ2dn0tLSqFixYr7LSU5OJiwsjMmTJ9O1a1e++OILRo8enafc4cOHWbVqFWvWrCEjI4NevXoxadIkJkyYABS+vf70008888wzDB48mJdeeomUlBSGDx9epPUvYgnlVXmVsm3Pqj3UaFgD94butOjVgpVvrCQ4PBiDwUDixEROHzzNy0tfxrmqM7/++CvXr1wHYOusrXyX9B395/Sncu3KnD95noyT+f9i6MrFK8x+djY+IT48/8HznPvpHCvfXJlv2bXj19JtXDcqVq3I0uFLWTxkMa+sewWAw9sPs/BfC3lm0jPUb1Wf3478xpLwJQB0fK0j2dnZzHl+Di41XAhfH86Vi1dY+Ub+yxGxNcqqiO1QXkXuHp2v6nzVVhTrdUfdu3fHz8+PyMhI4uPjb7seZ2dnPvzwQ8qXLw/AihUrcHZ25qmnnsLFxYW6devSrFkzAK5evcrEiRP54osvaNWqFQD169fnq6++YtasWQUOrk+ePBkHBweGDh162+2U/BW2HcTFxdG+fXvzjsNoNJKWlsaUKVMYMGAAVapUwd7eHhcXFzw8PG65rIsXL7Js2TK2b98OQN++fWndujXvvPOOeSd2/PhxIiIiaNy4MQANGzY0v//48eP06NGDpk2bAje3nYJMnz6dTp06MWLECHO7t23bxpo1a3KVy87OZu7cubi4uADQr18/NmzYwIQJE4q0vb7//vs0aNDA/G1ro0aN2LdvH5MnT77luhC5Hcqr8ipl146EHbT4RwsAGrdvzB8X/+CH5B9o+FhDMk5kcH/T+6nTrA4AVetUNb8v42QG1RtUp/4j9TEYDFTxrFLgMlKXp2IwGOg9tTflnMrh0diDC6cusGTYkjxlO/+nMw8EPgBA8LBgPuj9AdevXKecUzk+i/mM9sPaExAaAEA1r2o8+caTrB67mo6vdeT7zd9z5tAZwpaF4VbTzVzfrF6zimdliZQiZVXEdiivIneXzld1vmoLiu22MDkmT57MvHnzSE9Pv+06mjZtah5YBwgJCaFu3brUr1+ffv36sXDhQjIzMwH44YcfyMzMJCQkhIoVK5r/5s+fz+HDh/OtPzU1lXfeeYe5c+fqfkcl5FbbQXp6OoGBgbmmBQYGcujQIbKysvKUv5VFixbRoEEDfH19AfDz86Nu3bosWfLngcerr77KwIEDCQ4OZtKkSbm2i6FDhzJ+/HgCAwOJjIzk228Lfir6wYMHCQgIyDXt76/h5sMycnZ8ADVr1uTs2bNA0bbX9PR0Hn744Vx15uwoRUqC8qq8Stlz5tAZju0+hn8PfwDsHexp1r0ZOxJuXp4e+EIge1buISYohtWRqzmy44j5vQGhAZzcd5KJARNZ/vpyDmw8UOByzh46S60mtSjn9Oft9eo2r5tv2VpN/ny+jau7KwCXf70MwMnvTvL5lM8Z6TnS/Ldk2BIunr7ItcxrnPn+DJXvr2w++QfwCvCycK2IWB9lVcR2KK8ipUPnqzpftXbF/sSMoKAgOnTowKhRoxgwYECueXZ2dphMplzTrl+/nqcOZ2fnXK9dXFzYvXs3mzdv5vPPP2fMmDGMHTuWXbt2cfnyzY5j7dq13H///bne5+jomG8bv/zyS86ePUudOnXM07Kyshg+fDhTp07V/YeKwa22g+IUHx/P/v37cXD4c1POzs5mzpw5/POf/wRu3qfq2WefZe3atSQlJREZGcnixYvp3r07AwcOpEOHDqxdu5bPP/+c6OhoYmNjGTJkyG236e/37zcYDGRnZwPc1vYqUtKU1z8pr1JW7EjYQfaNbCJ9Is3TTCYTDo4O9IjpgU+ID5HfRJK2Po2Dmw8yo/sMHvvnY3Qb1w1PX0/G7BlD2hdpfL/le+a+OJdGbRrxwrwX7qhNduX+8puO//ttQ07erv1+jY6vd+Shpx7K8z4HJz3gTcouZVXEdiivIqVD56t/0vmqdSqRPeqkSZPw8/MzP4w0R/Xq1Tl9+jQmk8n8i/G9e/cWqU4HBweCg4MJDg4mMjKSSpUqsXHjRkJCQnB0dOT48eMF3gLm7/r160dwcHCuaR06dKBfv3688MKddW7yp4K2A29vb5KTk3NNS05Oxmg0Ym9vD9x8knJh3zLu27ePlJQUNm/eTJUqf15Wd+7cOdq2bcuBAwfMl+oYjUaMRiPh4eGEhoby0Ucf0b17dwA8PT0JCwsjLCyMUaNGMXv27Hx3fo0aNWLXrl25pv39dWF8fHwK3V69vb1ZvXp1rmlff/21RcsRsZTympfyKrYq60YWu5bsotu4bjRu1zjXvPh+8exevpvAFwKpWK0iAaEBBIQGkNwqmdVjVtNtXDcAnFyd8H/GH/9n/PHt6susf8zi94zfca6c+wcQNRrWIOWTFG5cvYGD483DyuO7j1vc5toP1ebsobNUr1893/nuRncyTmZw4fQF3Dxu/sLu6K6jFi9HxJooqyK2Q3kVKV06X81L56vWo0QG15s2bcpzzz3HtGnTck1v27Ytv/zyCzExMfTs2ZN169aRlJSEq6vrLetbs2YNP/74I0FBQVSuXJnExESys7Np1KgRLi4ujBgxgvDwcLKzs3nssce4cOECycnJuLq60r9//zz1Va1alapVq+aaVq5cOTw8PPIEVW5fQdvB8OHDadmyJePGjaN3795s376dd999lxkzZpjLeHl5sXXrVvr06YOjoyPVqlXLU398fDwBAQEEBQXlmdeyZUvi4+OJiooiIiKCnj17Uq9ePU6cOMGuXbvo0aMHAMOGDaNTp04YjUYyMjLYtGkT3t7e+X6eIUOGEBQURFxcHF26dGHjxo0kJSVZdGuhomyvYWFhxMbGEhERwcCBA0lNTWXu3LlFXobI7VBe81JexVbt/2w/meczeaTfI1RwrZBr3kNdHuLrhK+5cOoCnn6eeDT24MbVG6R9loa70R2ATe9twtXDldpNa2OwM/DN/77B1d2VCm4V8iyreY/mrB2/liXhS2j/SnsyTmSw8d2NABbl7YmIJ5gdOpvKtSvj29UXg52Bn7/7mVMHTtH5zc4Y2xqp0aAGH//7Y7pGdeXKpSskTki8g7UkUvqUVRHbobyKlC6dr+al81XrUez3XM8RFRVlvlQhh7e3NzNmzOC9997D19eXnTt3mm/efyuVKlVixYoVPP7443h7ezNz5kwWLVpEkyZNABg3bhyjR48mOjoab29vOnbsyNq1a6lXr16JfDYpuvy2A39/f5YuXcrixYt58MEHGTNmDFFRUbku74mKiuLo0aM0aNCA6tXzftN+7do1EhISzDuxv+vRowfz58/Hzs6O3377jeeffx6j0UivXr3o1KkTb731FnDzdkCDBw82bzdGozHXTvivAgMDmTlzJnFxcfj6+rJu3TrCw8NxcnKyaJ0Utr3WqVOH5cuXs2rVKnx9fZk5cyYTJ060aBkit0N5zUt5FVu0I2EHjdo0ynPyD+DbxZef9vyEnYMda6LWENM6hulPTcdgb6B//M0fJDhVdGLjtI3Eto8lrn0c5346x0tLXsLOLu9ho5OrE4M+HsTJfSeZ0mYKiRMS6TCyA4D513ZF4d3em0GLBnFw00HiguOY+sRUNr+/mSq1b/5yyM7OjhcXvMj1K9eJC45j8SuLefLNJ29n9YhYDWVVxHYoryKlT+ereel81ToYTH+/CXo+du/eTfPmzUlNTcXf3/9utMvqLFy4kL59+97T60DyGjRoEAcOHODLL78s7abI/1FWpSDKq3XJyerwTcPx9PUs7eZIMUr5JIVF/28R0UejKV+hfOFvEKuW8kkKCS8nKKtlkLJatiirZZvyWrbk5FXnrPJXOl+1PkUdD9dTLEQs8PbbbxMSEoKzszNJSUnMmzevwG8iRaR0Ka8id8fOxTup5lUNt5punPzuJJ+O/RS/p/108i9iZZRVEduhvIqUfTpfLTs0uC5igZ07dxITE8OlS5eoX78+06ZNY+DAgaXdLBHJh/IqcndcOnuJpOgkLp29hKu7K37d/Oj8n86l3SwR+RtlVcR2KK8iZZ/OV8sODa6LWGDp0qWl3QQRKSLlVeTuaD+0Pe2Hti/tZohIIZRVEduhvIqUfTpfLTtK7IGmIiIiIiIiIiIiIiJllQbXRUREREREREREREQspMF1ERERERERERERERELaXBdRERERERERERERMRCFj3QNDExkfT09JJqi1VLTk4G7u11IGILlFUR25CT1bQv0jjz/ZlSbo2IFOTHHT8CyqqItVNWRWxHTl51zipi3Y4cOVKkcgaTyWQqrND27dtp3bo1WVlZd9wwW2awM2DKLnR1iUgps7OzIzs7u7SbISKFUFZFbIOyKmIblFUR26G8itgGe3t7vvzyS1q1alVgmSL9ct3R0ZGsrCwSEhLw9vYutgbaksTEREaPHk3fWX1xN7qXdnNEpABpX6SRNCHpnt5fidiCnH5VWRWxbsqqiG1QVkVsh/IqYhvS09Pp27cvjo6Otyxn0W1hvL298ff3v6OG2aqcS3Xcje54+nqWcmtEpCA5l8Hey/srEVuQ068qqyLWTVkVsQ3KqojtUF5FyhY90FRERERERERERERExEIaXBcRERERERERERERsZAG10VERERERERERERELKTBdSnzhlUZxrdrvy3tZgDW1RaRsmTz5s0YDAbOnz9f2k2xqraIWBtryoc1tUXE2lhTPqypLSLWxpryYU1tEbE21pQPa2pLWVEsg+sDBgzAYDAwadKkXNNXrVqFwWAojkUUu5w2//WvY8eOpd2se96RnUcIrxbOB70/KLY6o9Kj8An2Kbb6RMqC4txve3l5MXXq1CKXj46Oxt7enilTpli0nFt59NFHOXXqFG5ubsVWp4g1UFZFbIOyKmIblFUR26Csii0ptl+uOzk5MXnyZDIyMoqrSgCuXbtWrPX9VceOHTl16pT5b9GiRSW2LCmaHQk7aD2oNYe3H+bCqQvFUqeruysOjg7FUpdIWVJS++3CzJkzh5EjRzJnzpxiq7N8+fJ4eHhY7Re6IndCWRWxDcqqiG1QVkVsg7IqtqLYBteDg4Px8PAgOjq6wDJjx47Fz88v17SpU6fi5eVlfj1gwACefvppJkyYQK1atWjUqBEAM2bMoGHDhjg5OeHu7k7Pnj3N78nOziY6Opp69epRoUIFfH19WbZsWaFtdnR0xMPDw/xXuXJlyz60FKurl6+yZ9UeAl8MxCfEh52LdprnZZ7PZMFLC3iz4ZtE1IpgfIvx7Fi4A4Ab126wbOQyxniPYUTNEbz10Fus/+9683v/fiuWIzuOEBMUw4iaI4h9PJZv137LsCrDOLHvBACHvjrEsCrD+H7L98Q+HkvE/RFM7TCVM4fO5GrvvsR9vN32bUbUHMG4ZuNYN3kdWTeyzPN/OfwL0zpPY0TNEUQ/Es3BTQdLZL2J3K6i7LcBli9fTpMmTXB0dMTLy4vY2FjzvLZt23Ls2DHCw8PNVwHdypYtW/jjjz+Iiori4sWLbNu2Ldf8b775hnbt2uHi4oKrqyvNmzcnJSUFgGPHjtGlSxcqV66Ms7MzTZo0ITExEcj/0rbZs2fj6enJfffdR/fu3YmLi6NSpUrm+Tl90oIFC/Dy8sLNzY0+ffpw6dIlc5mi9C+JiYkYjUYqVKhAu3btOHr06C3XgYillFVlVWyDsqqsim1QVpVVsQ3KqrJqK4ptcN3e3p6JEycyffp0Tpw4cUd1bdiwgYMHD7J+/XrWrFlDSkoKQ4cOJSoqioMHD7Ju3TqCgoLM5aOjo5k/fz4zZ85k//79hIeH07dvX7Zs2XLL5WzevJkaNWrQqFEj/vWvf/Hbb7/dUbvlzuxZtYcaDWvg3tCdFr1asGPhDkwmEwCJExM5ffA0Ly99mde/fp1/vP0PnKs6A7B11la+S/qO/nP688bON+j3QT+q1KmS7zKuXLzC7GdnU8unFiM2jaDTqE58+tan+ZZdO34t3cZ1Y/iG4dg52LF4yGLzvMPbD7PwXwsJejmI17e/Tq+4XuxctJP1sTcH9bOzs5nz/BwcyjsQvj6cXnG9ClyOSGkpyn47NTWVXr160adPH/bt28fYsWMZPXo0c+fOBWDFihXUrl2bqKgo81VAtxIfH09oaCjlypUjNDSU+Pj4XPOfe+45ateuza5du0hNTeX111+nXLlyAAwePJirV6+ydetW9u3bx+TJk6lYsWK+y0lOTiYsLIxXXnmFvXv3EhISwoQJE/KUO3z4MKtWrWLNmjWsWbOGLVu25Lr0sLD+5aeffuKZZ56hS5cu7N27l4EDB/L666/fch2IWEpZVVbFNiiryqrYBmVVWRXboKwqq7aiWO+V0b17d/z8/IiMjMyzAVrC2dmZDz/8kPLlywM3w+Ds7MxTTz2Fi4sLdevWpVmzZgBcvXqViRMn8sUXX9CqVSsA6tevz1dffcWsWbNo06ZNvsvo2LEjzzzzDPXq1ePw4cO88cYbdOrUie3bt2Nvb3/bbZfbtyNhBy3+0QKAxu0b88fFP/gh+QcaPtaQjBMZ3N/0fuo0qwNA1TpVze/LOJlB9QbVqf9IfQwGA1U88x9YB0hdnorBYKD31N6UcyqHR2MPLpy6wJJhS/KU7fyfzjwQ+AAAwcOC+aD3B1y/cp1yTuX4LOYz2g9rT0BoAADVvKrx5BtPsnrsajq+1pHvN3/PmUNnCFsWhltNN3N9s3rNKp6VJVJMCttvx8XF0b59e0aPHg2A0WgkLS2NKVOmMGDAAKpUqYK9vT0uLi54eHjcclkXL15k2bJlbN++HYC+ffvSunVr3nnnHfNBx/Hjx4mIiKBx48YANGzY0Pz+48eP06NHD5o2bQrc3NcXZPr06XTq1IkRI0aY271t2zbWrFmTq1x2djZz587FxcUFgH79+rFhwwYmTJhQpP7l/fffp0GDBuZfRzRq1Mh8ICVSnJRVZVVsg7KqrIptUFaVVbENyqqyaguK7ZfrOSZPnsy8efNIT0+/7TqaNm1qHlgHCAkJoW7dutSvX59+/fqxcOFCMjMzAfjhhx/IzMwkJCSEihUrmv/mz5/P4cOHC1xGnz596Nq1K02bNuXpp59mzZo17Nq1i82bN992u+X2nTl0hmO7j+Hfwx8Aewd7mnVvxo6Em7d+CXwhkD0r9xATFMPqyNUc2XHE/N6A0ABO7jvJxICJLH99OQc2HihwOWcPnaVWk1qUcypnnla3ed18y9ZqUsv8b1d3VwAu/3oZgJPfneTzKZ8z0nOk+W/JsCVcPH2Ra5nXOPP9GSrfX9k8sA7gFeBl4VoRuTtutd9OT08nMDAw17TAwEAOHTpEVlZWnvK3smjRIho0aICvry8Afn5+1K1blyVL/vxy69VXX2XgwIEEBwczadKkXPvxoUOHMn78eAIDA4mMjOTbb7/Ns4wcBw8eJCAgINe0v7+Gmw+3yTlQAahZsyZnz54Fita/pKen8/DDD+eqM+fARqS4KavKqtgGZVVZFdugrCqrYhuUVWXV2hX74HpQUBAdOnRg1KhReRdmZ2e+zUeO69ev5ynn7Oyc67WLiwu7d+9m0aJF1KxZkzFjxuDr68v58+e5fPnmYOfatWvZu3ev+S8tLa1I913PUb9+fapVq8YPP/xQ5PdI8dmRsIPsG9lE+kTyavVXebX6qyTPSeabT7/hj4t/4BPiQ+Q3kbT9V1sunL7AjO4z+N/o/wHg6evJmD1j6DSqE9f/uM7cF+fyUf+P7rhNduX+Eo//uy1XdnY2ANd+v0bH1zsSsSXC/Dfyq5G8mfImDk56eKrYllvtt4tTfHw8+/fvx8HBwfyXlpaW60ExY8eOZf/+/XTu3JmNGzfi4+PDypUrARg4cCA//vgj/fr1Y9++fbRo0YLp06ffUZtyLuHLYTAYzDkvrv5FpLgoq39SVsWaKat/UlbFmimrf1JWxZopq39SVq1TiYwCTpo0CT8/P/PDSHNUr16d06dPYzKZzA8R2Lt3b5HqdHBwIDg4mODgYCIjI6lUqRIbN24kJCQER0dHjh8/XuAtYIrixIkT/Pbbb9SsWfO265Dbk3Uji11LdtFtXDcat2uca158v3h2L99N4AuBVKxWkYDQAAJCA0hulczqMavpNq4bAE6uTvg/44//M/74dvVl1j9m8XvG7zhXzv1FTY2GNUj5JIUbV2/g4Hhz8z+++7jFba79UG3OHjpL9frV853vbnQn42QGF05fwM3j5q/Xj+46avFyRO6Wgvbb3t7eJCcn55qWnJyM0Wg030KrfPnyhf4qYN++faSkpLB582aqVPnz1k3nzp2jbdu2HDhwwHxpndFoxGg0Eh4eTmhoKB999BHdu3cHwNPTk7CwMMLCwhg1ahSzZ89myJAheZbXqFEjdu3alWva318XxsfHp9D+xdvbm9WrV+ea9vXXX1u0HBFLKKt5KatijZTVvJRVsUbKal7KqlgjZTUvZdV6lMjgetOmTXnuueeYNm1arult27bll19+ISYmhp49e7Ju3TqSkpJwdXW9ZX1r1qzhxx9/JCgoiMqVK5OYmEh2djaNGjXCxcWFESNGEB4eTnZ2No899hgXLlwgOTkZV1dX+vfvn6e+y5cv89Zbb9GjRw88PDw4fPgwI0eO5IEHHqBDhw7Fui6kcPs/20/m+Uwe6fcIFVwr5Jr3UJeH+Drhay6cuoCnnycejT24cfUGaZ+l4W50B2DTe5tw9XCldtPaGOwMfPO/b3B1d6WCW4U8y2reozlrx69lSfgS2r/SnowTGWx8dyNAoU+N/qsnIp5gduhsKteujG9XXwx2Bn7+7mdOHThF5zc7Y2xrpEaDGnz874/pGtWVK5eukDgh8Q7WkkjJKmi/PXz4cFq2bMm4cePo3bs327dv591332XGjBnmMl5eXmzdupU+ffrg6OhItWrV8tQfHx9PQEBArodR52jZsiXx8fFERUURERFBz549qVevHidOnGDXrl306NEDgGHDhtGpUyeMRiMZGRls2rQJb2/vfD/PkCFDCAoKIi4uji5durBx40aSkpIsynlR+pewsDBiY2OJiIhg4MCBpKammh+eI1ISlNW8lFWxRspqXsqqWCNlNS9lVayRspqXsmo9iv22MDmioqLMlyrk8Pb2ZsaMGbz33nv4+vqyc+dO8837b6VSpUqsWLGCxx9/HG9vb2bOnMmiRYto0qQJAOPGjWP06NFER0fj7e1Nx44dWbt2LfXq1cu3Pnt7e7799lu6du2K0Wjkn//8J82bN+fLL7/E0dHxzj+8WGRHwg4atWmUZ2AdwLeLLz/t+Qk7BzvWRK0hpnUM05+ajsHeQP/4m1+cOFV0YuO0jcS2jyWufRznfjrHS0tews4u7+bt5OrEoI8HcXLfSaa0mULihEQ6jLz5hUrOL9mLwru9N4MWDeLgpoPEBccx9YmpbH5/M1Vq3/yG087OjhcXvMj1K9eJC45j8SuLefLNJ29n9YjcNfntt/39/Vm6dCmLFy/mwQcfZMyYMURFRTFgwIBc7zt69CgNGjSgevW8V3Ncu3aNhIQE80HH3/Xo0YP58+djZ2fHb7/9xvPPP4/RaKRXr1506tSJt956C4CsrCwGDx5s3s8bjcZcB01/FRgYyMyZM4mLi8PX15d169YRHh6Ok5OTReuksP6lTp06LF++nFWrVuHr68vMmTOZOHGiRcsQsZSympeyKtZIWc1LWRVrpKzmpayKNVJW81JWrYPB9PeboOdj9+7dNG/enNTUVPz9/e9Gu6zOwoUL6du3L8M3DcfT17O0myPFKOWTFBb9v0VEH42mfIXyhb9BrFrKJykkvJxwT++vJH+DBg3iwIEDfPnll6XdFOHPflVZlb9TVq2LsioFUVati7IqBVFWrY/yKvlRVq1PUcfD9eRFuefsXLyTal7VcKvpxsnvTvLp2E/xe9pPA+siZczbb79NSEgIzs7OJCUlMW/evAJ/OSAipUdZFbENyqqIbVBWRWyDslp2aHBd7jmXzl4iKTqJS2cv4eruil83Pzr/p3NpN0tEitnOnTuJiYnh0qVL1K9fn2nTpjFw4MDSbpaI/I2yKmIblFUR26CsitgGZbXs0OC63HPaD21P+6HtS7sZIlLCli5dWtpNEJEiUFZFbIOyKmIblFUR26Cslh0l9kBTEREREREREREREZGySoPrIiIiIiIiIiIiIiIW0uC6iIiIiIiIiIiIiIiFNLguIiIiIiIiIiIiImIhix5ompiYSHp6ekm1xaolJycDkPZFGme+P1PKrRGRgvy440fg3t5fidiCnH5VWRWxbsqqiG1QVkVsh/IqYhuOHDlSpHIGk8lkKqzQ9u3bad26NVlZWXfcMFtmsDNgyi50dYlIKbOzsyM7O7u0myEihVBWRWyDsipiG5RVEduh8SUR22CwM5D8VTKtWrUqsEyRfrnu6OhIVlYWCQkJeHt7F1sDbUliYiKjR4+m76y+uBvdS7s5IlKAtC/SSJqQdE/vr0RsQU6/qqyKWDdlVcQ2KKsitkPjSyK24cz3Z0h4OQFHR8dblrPotjDe3t74+/vfUcNsVc6lOu5Gdzx9PUu5NSJSkJzbNt3L+ysRW5DTryqrItZNWRWxDcqqiO3Q+JJI2aIHmoqIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFtLgupR5w6oM49u135Z2MwDraotIWbJ582YMBgPnz58v7aZYVVtErI015cOa2iJibawpH9bUFhFrY035sKa2iJQUaxrTsaa23OuKZXB9wIABGAwGJk2alGv6qlWrMBgMxbGIEpGenk7Xrl1xc3PD2dmZli1bcvz48dJu1j3tyM4jhFcL54PeHxRbnVHpUfgE+xRbfSJlQXHut728vJg6dWqRy0dHR2Nvb8+UKVMsWs6tPProo5w6dQo3N7diq1PEGiirIrZBWRWxDcqqyL1D40tytxTbL9ednJyYPHkyGRkZxVUlANeuXSvW+nIcPnyYxx57jMaNG7N582a+/fZbRo8ejZOTU4ksT4pmR8IOWg9qzeHth7lw6kKx1Onq7oqDo0XP7hW5J5TUfrswc+bMYeTIkcyZM6fY6ixfvjweHh5W/YWuyO1SVkVsg7IqYhuUVZF7g8aX5G4ptsH14OBgPDw8iI6OLrDM2LFj8fPzyzVt6tSpeHl5mV8PGDCAp59+mgkTJlCrVi0aNWoEwIwZM2jYsCFOTk64u7vTs2dP83uys7OJjo6mXr16VKhQAV9fX5YtW3bL9r755ps8+eSTxMTE0KxZMxo0aEDXrl2pUaOG5R9eisXVy1fZs2oPgS8G4hPiw85FO83zMs9nsuClBbzZ8E0iakUwvsV4dizcAcCNazdYNnIZY7zHMKLmCN566C3W/3e9+b1/v1TmyI4jxATFMKLmCGIfj+Xbtd8yrMowTuw7AcChrw4xrMowvt/yPbGPxxJxfwRTO0zlzKEzudq7L3Efb7d9mxE1RzCu2TjWTV5H1o0s8/xfDv/CtM7TGFFzBNGPRHNw08ESWW8it6so+22A5cuX06RJExwdHfHy8iI2NtY8r23bthw7dozw8HAMBkOhB/Zbtmzhjz/+ICoqiosXL7Jt27Zc87/55hvatWuHi4sLrq6uNG/enJSUFACOHTtGly5dqFy5Ms7OzjRp0oTExEQg/8tQZ8+ejaenJ/fddx/du3cnLi6OSpUqmefn9EkLFizAy8sLNzc3+vTpw6VLl8xlitK/JCYmYjQaqVChAu3atePo0aO3XAcillJWlVWxDcqqsiq2QVlVVqXs0/iS3E3FNrhub2/PxIkTmT59OidOnLijujZs2MDBgwdZv349a9asISUlhaFDhxIVFcXBgwdZt24dQUFB5vLR0dHMnz+fmTNnsn//fsLDw+nbty9btmzJt/7s7GzWrl2L0WikQ4cO1KhRg4cffphVq1bdUbvlzuxZtYcaDWvg3tCdFr1asGPhDkwmEwCJExM5ffA0Ly99mde/fp1/vP0PnKs6A7B11la+S/qO/nP688bON+j3QT+q1KmS7zKuXLzC7GdnU8unFiM2jaDTqE58+tan+ZZdO34t3cZ1Y/iG4dg52LF4yGLzvMPbD7PwXwsJejmI17e/Tq+4XuxctJP1sTd3utnZ2cx5fg4O5R0IXx9Or7heBS5HpLQUZb+dmppKr1696NOnD/v27WPs2LGMHj2auXPnArBixQpq165NVFQUp06d4tSpU7dcZnx8PKGhoZQrV47Q0FDi4+NzzX/uueeoXbs2u3btIjU1lddff51y5coBMHjwYK5evcrWrVvZt28fkydPpmLFivkuJzk5mbCwMF555RX27t1LSEgIEyZMyFPu8OHDrFq1ijVr1rBmzRq2bNmS6zLhwvqXn376iWeeeYYuXbqwd+9eBg4cyOuvv37LdSBiKWVVWRXboKwqq2IblFVlVco+jS/J3VSs1zJ0794dPz8/IiMj83QWlnB2dubDDz+kfPnywM2Oy9nZmaeeegoXFxfq1q1Ls2bNALh69SoTJ07kiy++oFWrVgDUr1+fr776ilmzZtGmTZs89Z89e5bLly8zadIkxo8fz+TJk1m3bh3PPPMMmzZtyvc9UvJ2JOygxT9aANC4fWP+uPgHPyT/QMPHGpJxIoP7m95PnWZ1AKhap6r5fRknM6jeoDr1H6mPwWCgimf+Oz6A1OWpGAwGek/tTTmncng09uDCqQssGbYkT9nO/+nMA4EPABA8LJgPen/A9SvXKedUjs9iPqP9sPYEhAYAUM2rGk++8SSrx66m42sd+X7z95w5dIawZWG41XQz1zer16ziWVkixaSw/XZcXBzt27dn9OjRABiNRtLS0pgyZQoDBgygSpUq2Nvb4+LigoeHxy2XdfHiRZYtW8b27dsB6Nu3L61bt+add94xnyAcP36ciIgIGjduDEDDhg3N7z9+/Dg9evSgadOmwM19fUGmT59Op06dGDFihLnd27ZtY82aNbnKZWdnM3fuXFxcXADo168fGzZsYMKECUXqX95//30aNGhg/iVTo0aNzCc9IsVJWVVWxTYoq8qq2AZlVVmVsk3jS3I3Fdsv13NMnjyZefPmkZ6eftt1NG3a1DywDhASEkLdunWpX78+/fr1Y+HChWRmZgLwww8/kJmZSUhICBUrVjT/zZ8/n8OHD+dbf3Z2NgDdunUjPDwcPz8/Xn/9dZ566ilmzpx52+2W23fm0BmO7T6Gfw9/AOwd7GnWvRk7Em5emhP4QiB7Vu4hJiiG1ZGrObLjiPm9AaEBnNx3kokBE1n++nIObDxQ4HLOHjpLrSa1KOdUzjytbvO6+Zat1aSW+d+u7q4AXP71MgAnvzvJ51M+Z6TnSPPfkmFLuHj6Itcyr3Hm+zNUvr+yeccH4BXgZeFaEbk7brXfTk9PJzAwMNe0wMBADh06RFZWVp7yt7Jo0SIaNGiAr68vAH5+ftStW5clS/48+Hj11VcZOHAgwcHBTJo0Kdd+fOjQoYwfP57AwEAiIyP59tuCn4x+8OBBAgICck37+2u4+SCqnJMKgJo1a3L27FmgaP1Leno6Dz/8cK46c05CRIqbsqqsim1QVpVVsQ3KqrIqZZPGl+RuK/bB9aCgIDp06MCoUaPyLszOznwZRo7r16/nKefs7JzrtYuLC7t372bRokXUrFmTMWPG4Ovry/nz57l8+ebGuHbtWvbu3Wv+S0tLK/C+69WqVcPBwQEfn9xP+PX29ub48eMWfV4pHjsSdpB9I5tIn0herf4qr1Z/leQ5yXzz6Tf8cfEPfEJ8iPwmkrb/asuF0xeY0X0G/xv9PwA8fT0Zs2cMnUZ14vof15n74lw+6v/RHbfJrtxf4vF/t9DL+WLm2u/X6Ph6RyK2RJj/Rn41kjdT3sTBSQ+3ENtyq/12cYqPj2f//v04ODiY/9LS0nI91Gns2LHs37+fzp07s3HjRnx8fFi5ciUAAwcO5Mcff6Rfv37s27ePFi1aMH369DtqU87ltjkMBoM557fTv4iUJGX1T8qqWDNl9U/KqlgzZfVPyqqUJRpfkrutRP6XJk2ahJ+fn/lhpDmqV6/O6dOnMZlM5gd+7N27t0h1Ojg4EBwcTHBwMJGRkVSqVImNGzcSEhKCo6Mjx48fL/LtXMqXL0/Lli05eDD3AwC+//576tbN/1smKTlZN7LYtWQX3cZ1o3G7xrnmxfeLZ/fy3QS+EEjFahUJCA0gIDSA5FbJrB6zmm7jugHg5OqE/zP++D/jj29XX2b9Yxa/Z/yOc+XcX9TUaFiDlE9SuHH1hvkJz8d3W/6FSu2HanP20Fmq16+e73x3ozsZJzO4cPoCbh43v108uuuoxcsRuVsK2m97e3uTnJyca1pycjJGoxF7e3vg5j61sF/w7Nu3j5SUFDZv3kyVKn9eWnfu3Dnatm3LgQMHzJfBGo1GjEYj4eHhhIaG8tFHH9G9e3cAPD09CQsLIywsjFGjRjF79myGDBmSZ3mNGjVi165duab9/XVhfHx8Cu1fvL29Wb16da5pX3/9tUXLEbGEspqXsirWSFnNS1kVa6Ss5qWsii3T+JKUhhIZXG/atCnPPfcc06ZNyzW9bdu2/PLLL8TExNCzZ0/WrVtHUlISrq6ut6xvzZo1/PjjjwQFBVG5cmUSExPJzs6mUaNGuLi4MGLECMLDw8nOzuaxxx7jwoULJCcn4+rqSv/+/fOtMyIigt69exMUFES7du1Yt24dn376KZs3by6u1SBFtP+z/WSez+SRfo9QwbVCrnkPdXmIrxO+5sKpC3j6eeLR2IMbV2+Q9lka7kZ3ADa9twlXD1dqN62Nwc7AN//7Bld3Vyq4VcizrOY9mrN2/FqWhC+h/SvtyTiRwcZ3NwIU+oT3v3oi4glmh86mcu3K+Hb1xWBn4OfvfubUgVN0frMzxrZGajSowcf//piuUV25cukKiRMS72AtiZSsgvbbw4cPp2XLlowbN47evXuzfft23n33XWbMmGEu4+XlxdatW+nTpw+Ojo5Uq1YtT/3x8fEEBATkehh1jpYtWxIfH09UVBQRERH07NmTevXqceLECXbt2kWPHj0AGDZsGJ06dcJoNJKRkcGmTZvw9vbO9/MMGTKEoKAg4uLi6NKlCxs3biQpKcminBelfwkLCyM2NpaIiAgGDhxIamqq+UFXIiVBWc1LWRVrpKzmpayKNVJW81JWxZZpfElKQ7HfFiZHVFSU+RKHHN7e3syYMYP33nsPX19fdu7caX7Qxq1UqlSJFStW8Pjjj+Pt7c3MmTNZtGgRTZo0AWDcuHGMHj2a6OhovL296dixI2vXrqVevXoF1tm9e3dmzpxJTEwMTZs25cMPP2T58uU89thjd/bBxWI7EnbQqE2jPDs+AN8uvvy05yfsHOxYE7WGmNYxTH9qOgZ7A/3jb35x4lTRiY3TNhLbPpa49nGc++kcLy15CTu7vJu3k6sTgz4exMl9J5nSZgqJExLpMLIDgPmbxqLwbu/NoEWDOLjpIHHBcUx9Yiqb399Mldo3f41gZ2fHiwte5PqV68QFx7H4lcU8+eaTt7N6RO6a/Pbb/v7+LF26lMWLF/Pggw8yZswYoqKiGDBgQK73HT16lAYNGlC9et5v269du0ZCQoL5BOHvevTowfz587Gzs+O3337j+eefx2g00qtXLzp16sRbb70FQFZWFoMHDzbv541GY64TnL8KDAxk5syZxMXF4evry7p16wgPD8fJycmidVJY/1KnTh2WL1/OqlWr8PX1ZebMmUycONGiZYhYSlnNS1kVa6Ss5qWsijVSVvNSVsVWaXxJSoPB9PeboOdj9+7dNG/enNTUVPz9/e9Gu6zOwoUL6du3L8M3DcfT17O0myPFKOWTFBb9v0VEH42mfIXyhb9BrFrKJykkvJxwT++vJH+DBg3iwIEDfPnll6XdFOHPflVZlb9TVq2LsioFUVati7IqBVFWrY/Gl8oujS+VLT998xOx7WIL7Vt1Z3y55+xcvJNqXtVwq+nGye9O8unYT/F72k87PpEy5u233yYkJARnZ2eSkpKYN29egb/yEZHSo6yK2AZlVcQ2KKsid4/GlwQ0uC73oEtnL5EUncSls5dwdXfFr5sfnf/TubSbJSLFbOfOncTExHDp0iXq16/PtGnTGDhwYGk3S0T+RlkVsQ3KqohtUFZF7h6NLwlocF3uQe2Htqf90Pal3QwRKWFLly4t7SaISBEoqyK2QVkVsQ3Kqsjdo/ElgRJ8oKmIiIiIiIiIiIiISFmlwXUREREREREREREREQtpcF1ERERERERERERExEIaXBcRERERERERERERsZBFDzRNT08vqXZYvSNHjgBw5vszpdwSEbmV347/Btzb+ysRW5DTryqrItZNWRWxDcqqiO3Q+JKIbShqRg0mk8lUWKHjx4/j7e1NZmbmHTfMlhnsDJiyC11dIlLK7OztyM7KLu1miEgh7O3tycrKKu1miEghlFUR26CsitgOjS+J2IYK91XgQPoB6tSpU2CZIg2uw80B9l9//bXYGmeLrl69iqOjY2k3Q0QKoayK2AZlVcQ2KKsitkFZFbEdyquIbahWrdotB9bBgsF1ERERERERERERERG5SQ80FRERERERERERERGxkAbXRUREREREREREREQspMF1ERERERERERERERELaXBdRERERERERERERMRCGlwXEREREREREREREbGQBtdFRERERERERERERCykwXUREREREREREREREQtpcF1ERERERERERERExEIaXBcRERERERERERERsZAG10VERERERERERERELKTBdRERERERERERERERC2lwXURERERERERERETEQhpcFxERERERERERERGxkAbXRUREREREREREREQspMF1ERERERERERERERELaXBdRERERERERERERMRC/x+WMFd43ETbAAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query133: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query134: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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JkyaZ2rZta6pRo4bJycnJ1KhRI9PQoUNNP/30k7lMgwYNTP/5z38KLefr62uKjo42mUwm09GjR02Aac+ePeb5bm5upg8//ND8/rfffjP16tXLVK1aNRNQaN6fLV++3GQ0Gk2VK1c2NW/e3LR27doyfXYxmRISEpTVMlBW95jn32pWC+r686t9+/Zl+vz3OmW17JTXPeb5t5rXBg0aFJvXgrakZMpq2VV0Vjdt2lTsdj5w4MASl3n//fdNHTt2NNWqVctUuXJlU/369U2DBg0yHTt2zFymffv2ptdff73Qcj169ChUL2D69NNPze//mOUC4eHhpvvvv7/U7G3atMnk5+dnqly5sqlRo0Y3PWeW3ymrZaesfmp+fztZLe4zNGjQoNTPL8prWSmrn5rf32pW27dvb/FnkN+VdSzYYDKZTLcyKH+v2b17N61atSI9PR1/f/+K7s495aOPPiIiIoIffviBypUrV3R3xMotXryY/v37K6sVQFkVSyirFUt5lbJSViuWsiplpaxWLGVVLKG8VhxlVSxR1rFg3RZGrFZubi7Z2dlMnjyZV199VTs+ESulrIrYDuVVxDYoqyK2QVkVsQ3KqtxJeqCpWK2pU6fSrFkzPDw8GD16dEV3R0RKoKyK2A7lVcQ2KKsitkFZFbENyqrcSRpcF6s1btw4rl27xsaNG/WwMRErpqyK2A7lVcQ2KKsitkFZFbENyqrcSRpcFxERERERERERERGxkAbXRUREREREREREREQspMF1ERERERERERERERELOZS14IkTJ/jpp5/uZF+sWlZWFgBJSUnmf4uI9UlJSQGUVRFrp6yK2AZlVcQ2KKsitkN5FbENR48eLVM5g8lkMpVW6MSJE3h7e5Obm3vbHbNldnZ25OfnV3Q3RKQUBjsDpvxSd20iUsF0XBWxDcqqiG1QVkVsh/IqYhvs7e3Ztm0bbdu2LbFMmX65/tNPP5Gbm0tCQgLe3t7l1kFbkpSUxJgxY+7pdSBiCwqy2n9uf9yN7hXdHREpQeYXmaybuE7HVRErp3NgEdugrIrYDuVVxDZkZWXRv39/HB0db1quzLeFAfD29sbf3/+2OmarCi7VuZfXgYgtKMiqu9EdT1/PCu6NiJTkzLdnAB1XRaydzoFFbIOyKmI7lFeRu4seaCoiIiIiIiIiIiIiYiENrouIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFtLgukgJNm/ejMFg4Ny5cxXdFavqi8idMqzGML5e+3VFdwOwrr6I3E2s6XhmTX0RsTbWlA9r6ouItbGmfFhTX0SsjTXlw5r6crcol8H1QYMGYTAYmDx5cqHpq1evxmAwlEcT5W7VqlU8+eST3H///RgMBvbu3VvRXbJ55bkdeHl5MWPGjDKXj42Nxd7enmnTplnUzs089thjZGdn4+bmVm51itwtju48SkTNCN7v+3651RmTFYNPsE+51SdyN9CxVcQ2KKsitkFZFbENyqrYknL75bqTkxNTpkwhJyenvKoE4OrVq+VaX4Fff/2Vxx9/nClTptyR+u9Vd2o7KM38+fMZOXIk8+fPL7c6K1eujIeHh9V+QSRSkVITUmk3uB2HdxzmfPb5cqnT1d0VB0eHcqlL5G6iY6uIbVBWRWyDsipiG5RVsRXlNrgeHByMh4cHsbGxJZYZN24cfn5+habNmDEDLy8v8/tBgwbx7LPPMnHiROrWrUvTpk0BmD17Nk2aNMHJyQl3d3d69+5tXiY/P5/Y2FgaNmxIlSpV8PX1ZcWKFTft74ABAxg7dizBwcGWf1gpUVm2A4CVK1fSvHlzHB0d8fLyYvr06eZ5HTp04Pjx40RERGAwGErd+WzZsoXLly8TExPDhQsX2L59e6H5+/bto2PHjri4uODq6kqrVq1IS0sD4Pjx43Tv3p3q1avj7OxM8+bNSUpKAoq/VGbevHl4enpy33330bNnT+Li4qhWrZp5fsE2/tFHH+Hl5YWbmxv9+vXj4sWL5jJl2V6TkpIwGo1UqVKFjh07cuzYsZuuA5G/0pVLV9izeg+BLwfiE+LDziU7zfNyz+Xy0Ssf8UaTN4iqG8WE1hNIXZwKwPWr11kxcgVjvccSWSeSNx9+kw3/2WBe9s+3YjmaepSpQVOJrBPJ9Cem8/XarxlWYxgnM04CcOjLQwyrMYxvt3zL9CemE/VAFDM6z+DMoTOF+puRlMFbHd4isk4k41uOZ/2U9eRdzzPP//Hwj8zsNpPIOpHEPhrLwU0H78h6E7lVOrbq2Cq2QVlVVsU2KKvKqtgGZVVZtRXlNrhub2/PpEmTmDVrFidPnrytujZu3MjBgwfZsGEDiYmJpKWlMXToUGJiYjh48CDr168nKCjIXD42NpZFixYxZ84c9u/fT0REBP3792fLli23+7HEQmXZDtLT0+nTpw/9+vUjIyODcePGMWbMGBYsWADcuGVPvXr1iImJITs7m+zs7Ju2GR8fT2hoKJUqVSI0NJT4+PhC81944QXq1avHrl27SE9PZ9SoUVSqVAmA1157jStXrrB161YyMjKYMmUKVatWLbadlJQUwsPDef3119m7dy8hISFMnDixSLnDhw+zevVqEhMTSUxMZMuWLYUuZSpte/3+++957rnn6N69O3v37iUsLIxRo0bddB2I/JX2rN5D7Sa1cW/iTus+rUldnIrJZAIgaVISpw+e5tXlrzLqq1E8/9bzON/vDMDWuVv5Zt03DJw/kH/t/BcD3h9Ajfo1im3jtwu/Me9v86jrU5fITZF0Hd2Vz978rNiyayespcf4HozYOAI7BzuWDllqnnd4x2EW/30xQa8GMWrHKPrE9WHnkp1smH5jUD8/P5/5L87HobIDERsi6BPXp8R2RCqKjq06toptUFaVVbENyqqyKrZBWVVWbUW5Xn/fs2dP/Pz8iI6OLrIBWsLZ2ZkPPviAypUrAzfC4OzszNNPP42LiwsNGjSgZcuWAFy5coVJkybxxRdf0LZtWwAaNWrEl19+ydy5c2nfvv3tfzCxSGnbQVxcHJ06dWLMmDEAGI1GMjMzmTZtGoMGDaJGjRrY29vj4uKCh4fHTdu6cOECK1asYMeOHQD079+fdu3a8fbbb5t3YidOnCAqKopmzZoB0KRJE/PyJ06coFevXrRo0QK4se2UZNasWXTt2pXIyEhzv7dv305iYmKhcvn5+SxYsAAXFxfgxlUSGzduZOLEiWXaXt977z0aN25s/ra1adOm5h2ziDVITUil9fOtAWjWqRmXL1zmu5TvaPJ4E3JO5vBAiweo37I+APfXv9+8XM6pHGo1rkWjRxthMBio4Vn8wDpA+sp0DAYDfWf0pZJTJTyaeXA++zzLhi0rUrbbv7vxYOCDAAQPC+b9vu9z7bdrVHKqxOdTP6fTsE4EhAYAUNOrJk/96ynWjFtDl3924dvN33Lm0BnCV4TjVsfNXN/cPnPLZ2WJlBMdW3VsFdugrCqrYhuUVWVVbIOyqqzagnL75XqBKVOmsHDhQrKysm65jhYtWpgH1gFCQkJo0KABjRo1YsCAASxevJjc3FwAvvvuO3JzcwkJCaFq1arm16JFizh8+PBtfx65NTfbDrKysggMDCw0LTAwkEOHDpGXl1ek/M0sWbKExo0b4+vrC4Cfnx8NGjRg2bLfB+CGDx9OWFgYwcHBTJ48udB2MXToUCZMmEBgYCDR0dF8/fXXRdoocPDgQQICAgpN+/N7uPGwjIIdH0CdOnU4e/YsULbtNSsri0ceeaRQnQU7SpGKdubQGY7vPo5/L38A7B3sadmzJakJN279EvhSIHs+3cPUoKmsiV7D0dSj5mUDQgM4lXGKSQGTWDlqJQeSD5TYztlDZ6nbvC6VnCqZpzVo1aDYsnWb1zX/29XdFYBLP10C4NQ3p/jftP8x0nOk+bVs2DIunL7A1dyrnPn2DNUfqG4eWAfwCvCycK2I/DV0bNWxVWyDsqqsim1QVpVVsQ3KqrJq7cp9cD0oKIjOnTszevTooo3Z2ZlvHVDg2rVrRco5OzsXeu/i4sLu3btZsmQJderUYezYsfj6+nLu3DkuXboxgLJ27Vr27t1rfmVmZpZ633W5c262HZSn+Ph49u/fj4ODg/mVmZlZ6MET48aNY//+/XTr1o3k5GR8fHz49NNPAQgLC+PIkSMMGDCAjIwMWrduzaxZs26rTwWXBBUwGAzk5+cDaHsVm5eakEr+9XyifaIZXms4w2sNJ2V+Cvs+28flC5fxCfEhel80Hf7egfOnzzO752z+O+a/AHj6ejJ2z1i6ju7KtcvXWPDyAj4c+OFt98mu0h8OZf93C72CzF399SpdRnUhakuU+TXyy5G8kfYGDk56eKrYFh1bf6djq1gzZfV3yqpYM2X1d8qqWDNl9XfKqnW6IyMLkydPxs/Pz/ww0gK1atXi9OnTmEwm80ME9u7dW6Y6HRwcCA4OJjg4mOjoaKpVq0ZycjIhISE4Ojpy4sQJ3QLGypS0HXh7e5OSklJoWkpKCkajEXt7e+DGk5RL+5YxIyODtLQ0Nm/eTI0av99e4pdffqFDhw4cOHDAfKmO0WjEaDQSERFBaGgoH374IT179gTA09OT8PBwwsPDGT16NPPmzWPIkCFF2mvatCm7du0qNO3P70vj4+NT6vbq7e3NmjVrCk376quvLGpH5E7Iu57HrmW76DG+B806Nis0L35APLtX7ibwpUCq1qxKQGgAAaEBpLRNYc3YNfQY3wMAJ1cn/J/zx/85f3yf8WXu83P5NedXnKsX/lK1dpPapH2SxvUr13FwvHGoOrH7hMV9rvdwPc4eOkutRrWKne9udCfnVA7nT5/HzePGr9eP7TpmcTsifxUdW4vSsVWskbJalLIq1khZLUpZFWukrBalrFqPOzK43qJFC1544QVmzpxZaHqHDh348ccfmTp1Kr1792b9+vWsW7cOV1fXm9aXmJjIkSNHCAoKonr16iQlJZGfn0/Tpk1xcXEhMjKSiIgI8vPzefzxxzl//jwpKSm4uroycODAYuv85ZdfOHHiBD/88ANw45IMAA8Pj1LvwyRlU9J2MGLECNq0acP48ePp27cvO3bs4J133mH27NnmMl5eXmzdupV+/frh6OhIzZo1i9QfHx9PQEBAoYfbFmjTpg3x8fHExMQQFRVF7969adiwISdPnmTXrl306tULgGHDhtG1a1eMRiM5OTls2rQJb2/vYj/PkCFDCAoKIi4uju7du5OcnMy6detKfdr0H5Vlew0PD2f69OlERUURFhZGenq6+WEcIhVp/+f7yT2Xy6MDHqWKa5VC8x7u/jBfJXzF+ezzePp54tHMg+tXrpP5eSbuRncANr27CVcPV+q1qIfBzsC+/+7D1d2VKm5VirTVqlcr1k5Yy7KIZXR6vRM5J3NIficZwKLMPRn1JPNC51G9XnV8n/HFYGfgh29+IPtANt3e6Iaxg5HajWvz8T8+5pmYZ/jt4m8kTUy6jbUkcmfp2FqUjq1ijZTVopRVsUbKalHKqlgjZbUoZdV6lPttYQrExMSYL1Uo4O3tzezZs3n33Xfx9fVl586d5pv330y1atVYtWoVTzzxBN7e3syZM4clS5bQvHlzAMaPH8+YMWOIjY3F29ubLl26sHbtWho2bFhinWvWrKFly5Z069YNgH79+tGyZUvmzJlzG59a/qy47cDf35/ly5ezdOlSHnroIcaOHUtMTAyDBg0qtNyxY8do3LgxtWoV/cXp1atXSUhIMO/E/qxXr14sWrQIOzs7fv75Z1588UWMRiN9+vSha9euvPnmmwDk5eXx2muvmbcbo9FYaCf8R4GBgcyZM4e4uDh8fX1Zv349ERERODk5WbROStte69evz8qVK1m9ejW+vr7MmTOHSZMmWdSGyJ2QmpBK0/ZNiwysA/h29+X7Pd9j52BHYkwiU9tNZdbTszDYGxgYf+NLTqeqTiTPTGZ6p+nEdYrjl+9/4ZVlr2BnV/RQ5OTqxOCPB3Mq4xTT2k8jaWISnUd2BjD/kr0svDt5M3jJYA5uOkhccBwznpzB5vc2U6PejV8j2NnZ8fJHL3Ptt2vEBcex9PWlPPXGU7eyekT+Mjq2FqVjq1gjZbUoZVWskbJalLIq1khZLUpZtQ4G059vgl6M3bt306pVK9LT0/H39/8r+mV1Fi9eTP/+/e/pdSBFDR48mAMHDrBt27aK7or8n4Ksjtg0Ak9fz4rujpSjtE/SWPL/LSH2WCyVq1QufQGxammfpJHwaoKOq1KEjq3WRefAUhJl1booq1ISZdX6KK9SHGXV+pR1PFxPcxOxwFtvvUVISAjOzs6sW7eOhQsXlvhNpIjcnp1Ld1LTqyZuddw49c0pPhv3GX7P+mlgXeQuo2OriG1QVkVsg7IqYhuU1buHBtdFLLBz506mTp3KxYsXadSoETNnziQsLKyiuyVyV7p49iLrYtdx8exFXN1d8evhR7d/d6vobolIOdOxVcQ2KKsitkFZFbENyurdQ4PrIhZYvnx5RXdB5J7RaWgnOg3tVNHdEJE7TMdWEdugrIrYBmVVxDYoq3ePO/ZAUxERERERERERERGRu5UG10VERERERERERERELKTBdRERERERERERERERC2lwXURERERERERERETEQhY90DQpKYmsrKw71RerlpKSAtzb60DEFhRkNfOLTM58e6aCeyMiJTmSegTQcVXE2ukcWMQ2KKsitkN5FbENR48eLVM5g8lkMpVWaMeOHbRr1468vLzb7pgts7OzIz8/v6K7ISKlUFZFbIPBzoApv9TTEBGpYDquitgGZVXEdiivIrbB3t6ebdu20bZt2xLLlOmX646OjuTl5ZGQkIC3t3e5ddCWJCUlMWbMmHt6HYjYAmVVxDYUZLX/3P64G90rujsiUoLMLzJZN3GdjqsiVk7nwCK2Q3kVsQ1ZWVn0798fR0fHm5az6LYw3t7e+Pv731bHbFXBpTr38joQsQXKqohtKMiqu9EdT1/PCu6NiJSk4BZrOq6KWDedA4vYDuVV5O6iB5qKiIiIiIiIiIiIiFhIg+siIiIiIiIiIiIiIhbS4LqIiIiIiIiIiIiIiIU0uC5Sgs2bN2MwGDh37lxFd8Wq+iJijawpI9bUF5E7YViNYXy99uuK7gZgXX0RuZtY07HMmvoiYm2sKR/W1BcRa2NN+bCmvtwtymVwfdCgQRgMBiZPnlxo+urVqzEYDOXRRLm6du0a//znP2nRogXOzs7UrVuXF198kR9++KGiu2bTynM78PLyYsaMGWUuHxsbi729PdOmTbOonZt57LHHyM7Oxs3NrdzqFLEWyqvIveHozqNE1Izg/b7vl1udMVkx+AT7lFt9IncDHVdFbIOyKmIblFWxJeX2y3UnJyemTJlCTk5OeVUJwNWrV8u1PoDc3Fx2797NmDFj2L17N6tWreLgwYM888wz5d7WveZObQelmT9/PiNHjmT+/PnlVmflypXx8PCwyi+IRMqD8ipy90tNSKXd4HYc3nGY89nny6VOV3dXHBwdyqUukbuJjqsitkFZFbENyqrYinIbXA8ODsbDw4PY2NgSy4wbNw4/P79C02bMmIGXl5f5/aBBg3j22WeZOHEidevWpWnTpgDMnj2bJk2a4OTkhLu7O7179zYvk5+fT2xsLA0bNqRKlSr4+vqyYsWKEvvh5ubGhg0b6NOnD02bNuXRRx/lnXfeIT09nRMnTtzaChCgbNsBwMqVK2nevDmOjo54eXkxffp087wOHTpw/PhxIiIiMBgMpe58tmzZwuXLl4mJieHChQts37690Px9+/bRsWNHXFxccHV1pVWrVqSlpQFw/PhxunfvTvXq1XF2dqZ58+YkJSUBxV8qM2/ePDw9Pbnvvvvo2bMncXFxVKtWzTy/YBv/6KOP8PLyws3NjX79+nHx4kVzmbJsr0lJSRiNRqpUqULHjh05duzYTdeByK1QXpVXubtduXSFPav3EPhyID4hPuxcstM8L/dcLh+98hFvNHmDqLpRTGg9gdTFqQBcv3qdFSNXMNZ7LJF1Innz4TfZ8J8N5mX/fCuWo6lHmRo0lcg6kUx/Yjpfr/2aYTWGcTLjJACHvjzEsBrD+HbLt0x/YjpRD0Qxo/MMzhw6U6i/GUkZvNXhLSLrRDK+5XjWT1lP3vU88/wfD//IzG4ziawTSeyjsRzcdPCOrDeRW6Xjqo6rYhuUVWVVbIOyqqzainIbXLe3t2fSpEnMmjWLkydP3lZdGzdu5ODBg2zYsIHExETS0tIYOnQoMTExHDx4kPXr1xMUFGQuHxsby6JFi5gzZw779+8nIiKC/v37s2XLljK3ef78eQwGQ6ENWSxXlu0gPT2dPn360K9fPzIyMhg3bhxjxoxhwYIFAKxatYp69eoRExNDdnY22dnZN20zPj6e0NBQKlWqRGhoKPHx8YXmv/DCC9SrV49du3aRnp7OqFGjqFSpEgCvvfYaV65cYevWrWRkZDBlyhSqVq1abDspKSmEh4fz+uuvs3fvXkJCQpg4cWKRcocPH2b16tUkJiaSmJjIli1bCl3KVNr2+v333/Pcc8/RvXt39u7dS1hYGKNGjbrpOhC5Fcqr8ip3tz2r91C7SW3cm7jTuk9rUhenYjKZAEialMTpg6d5dfmrjPpqFM+/9TzO9zsDsHXuVr5Z9w0D5w/kXzv/xYD3B1Cjfo1i2/jtwm/M+9s86vrUJXJTJF1Hd+WzNz8rtuzaCWvpMb4HIzaOwM7BjqVDlprnHd5xmMV/X0zQq0GM2jGKPnF92LlkJxum3xjUz8/PZ/6L83Go7EDEhgj6xPUpsR2RiqLjqo6rYhuUVWVVbIOyqqzainK9prdnz574+fkRHR1dZAO0hLOzMx988AGVK1cGboTB2dmZp59+GhcXFxo0aEDLli0BuHLlCpMmTeKLL76gbdu2ADRq1Igvv/ySuXPn0r59+1Lb++233/jnP/9JaGgorq6ut9xvuaG07SAuLo5OnToxZswYAIxGI5mZmUybNo1BgwZRo0YN7O3tcXFxwcPD46ZtXbhwgRUrVrBjxw4A+vfvT7t27Xj77bfNO7ETJ04QFRVFs2bNAGjSpIl5+RMnTtCrVy9atGgB3Nh2SjJr1iy6du1KZGSkud/bt28nMTGxULn8/HwWLFiAi4sLAAMGDGDjxo1MnDixTNvre++9R+PGjc3ftjZt2tS8YxYpb8qr8ip3r9SEVFo/3xqAZp2acfnCZb5L+Y4mjzch52QOD7R4gPot6wNwf/37zcvlnMqhVuNaNHq0EQaDgRqexQ+sA6SvTMdgMNB3Rl8qOVXCo5kH57PPs2zYsiJlu/27Gw8GPghA8LBg3u/7Ptd+u0Ylp0p8PvVzOg3rREBoAAA1vWry1L+eYs24NXT5Zxe+3fwtZw6dIXxFOG513Mz1ze0zt3xWlkg50XFVx1WxDcqqsiq2QVlVVm1Buf1yvcCUKVNYuHAhWVlZt1xHixYtzAPrACEhITRo0IBGjRoxYMAAFi9eTG5uLgDfffcdubm5hISEULVqVfNr0aJFHD58uNS2rl27Rp8+fTCZTLz33nu33Gcp7GbbQVZWFoGBgYWmBQYGcujQIfLy8oqUv5klS5bQuHFjfH19AfDz86NBgwYsW/b7H/XDhw8nLCyM4OBgJk+eXGi7GDp0KBMmTCAwMJDo6Gi+/vrrIm0UOHjwIAEBAYWm/fk93HhYRsGOD6BOnTqcPXsWKNv2mpWVxSOPPFKozoIdpcidoLwqr3L3OXPoDMd3H8e/lz8A9g72tOzZktSEG7d+CXwpkD2f7mFq0FTWRK/haOpR87IBoQGcyjjFpIBJrBy1kgPJB0ps5+yhs9RtXpdKTpXM0xq0alBs2brN65r/7ep+48cMl366BMCpb07xv2n/Y6TnSPNr2bBlXDh9gau5Vznz7RmqP1DdPLAO4BXgZeFaEflr6Liq46rYBmVVWRXboKwqq9au3AfXg4KC6Ny5M6NHjy7amJ2d+XLkAteuXStSztnZudB7FxcXdu/ezZIlS6hTpw5jx47F19eXc+fOcenSjT/K1q5dy969e82vzMzMm953vaDtPn36cPz4cTZs2KBfrZejm20H5Sk+Pp79+/fj4OBgfmVmZhZ68MS4cePYv38/3bp1Izk5GR8fHz799FMAwsLCOHLkCAMGDCAjI4PWrVsza9as2+pTwSVBBQwGA/n5+QC3tb2K3CnK6++UV7lbpCakkn89n2ifaIbXGs7wWsNJmZ/Cvs/2cfnCZXxCfIjeF02Hv3fg/OnzzO45m/+O+S8Anr6ejN0zlq6ju3Lt8jUWvLyADwd+eNt9sqv0h9PO/7vdZUHerv56lS6juhC1Jcr8GvnlSN5IewMHJz08VWyLjqu/03FVrJmy+jtlVayZsvo7ZdU63ZG/ViZPnoyfn5/5YaQFatWqxenTpzGZTOaHCOzdu7dMdTo4OBAcHExwcDDR0dFUq1aN5ORkQkJCcHR05MSJE2W6BUyBgoH1Q4cOsWnTJu6///7SFxKLlLQdeHt7k5KSUmhaSkoKRqMRe3t74MaTlEv7ljEjI4O0tDQ2b95MjRq/X7L+yy+/0KFDBw4cOGC+VMdoNGI0GomIiCA0NJQPP/yQnj17AuDp6Ul4eDjh4eGMHj2aefPmMWTIkCLtNW3alF27dhWa9uf3pfHx8Sl1e/X29mbNmjWFpn311VcWtSNiKeW1KOVVbFXe9Tx2LdtFj/E9aNaxWaF58QPi2b1yN4EvBVK1ZlUCQgMICA0gpW0Ka8auocf4HgA4uTrh/5w//s/54/uML3Ofn8uvOb/iXL3wDyBqN6lN2idpXL9yHQfHG6eVJ3Zb/nD4eg/X4+yhs9RqVKvY+e5Gd3JO5XD+9HncPG78ev3YrmMWtyPyV9FxtSgdV8UaKatFKatijZTVopRV63FHBtdbtGjBCy+8wMyZMwtN79ChAz/++CNTp06ld+/erF+/nnXr1pX6i/HExESOHDlCUFAQ1atXJykpifz8fJo2bYqLiwuRkZFERESQn5/P448/zvnz50lJScHV1ZWBAwcWqe/atWv07t2b3bt3k5iYSF5eHqdPnwagRo0ahW5JI7eupO1gxIgRtGnThvHjx9O3b1927NjBO++8w+zZs81lvLy82Lp1K/369cPR0ZGaNWsWqT8+Pp6AgIBCD7ct0KZNG+Lj44mJiSEqKorevXvTsGFDTp48ya5du+jVqxcAw4YNo2vXrhiNRnJycti0aRPe3t7Ffp4hQ4YQFBREXFwc3bt3Jzk5mXXr1pX6tOk/Ksv2Gh4ezvTp04mKiiIsLIz09HTzwzhE7hTltSjlVWzV/s/3k3sul0cHPEoV1yqF5j3c/WG+SviK89nn8fTzxKOZB9evXCfz80zcje4AbHp3E64ertRrUQ+DnYF9/92Hq7srVdyqFGmrVa9WrJ2wlmURy+j0eidyTuaQ/E4ygEV5ezLqSeaFzqN6ver4PuOLwc7AD9/8QPaBbLq90Q1jByO1G9fm4398zDMxz/Dbxd9Imph0G2tJ5M7ScbUoHVfFGimrRSmrYo2U1aKUVetR7reFKRATE2O+VKGAt7c3s2fP5t1338XX15edO3eab95/M9WqVWPVqlU88cQTeHt7M2fOHJYsWULz5s0BGD9+PGPGjCE2NhZvb2+6dOnC2rVradiwYbH1nTp1ijVr1nDy5En8/PyoU6eO+bV9+/bb//BiVtx24O/vz/Lly1m6dCkPPfQQY8eOJSYmhkGDBhVa7tixYzRu3JhatYr+iu3q1askJCSYd2J/1qtXLxYtWoSdnR0///wzL774IkajkT59+tC1a1fefPNNAPLy8njttdfM243RaCy0E/6jwMBA5syZQ1xcHL6+vqxfv56IiAicnJwsWielba/169dn5cqVrF69Gl9fX+bMmcOkSZMsakPkViivRSmvYotSE1Jp2r5pkYF1AN/uvny/53vsHOxIjElkarupzHp6FgZ7AwPjb/wgwamqE8kzk5neaTpxneL45ftfeGXZK9jZFT1tdHJ1YvDHgzmVcYpp7aeRNDGJziM7A5h/yV4W3p28GbxkMAc3HSQuOI4ZT85g83ubqVHvxi+H7OzsePmjl7n22zXiguNY+vpSnnrjqVtZPSJ/GR1Xi9JxVayRslqUsirWSFktSlm1DgbTn2+CXozdu3fTqlUr0tPT8ff3/yv6ZXUWL15M//797+l1IEUNHjyYAwcOsG3btoruivwfZVVKorxal4Ksjtg0Ak9fz4rujpSjtE/SWPL/LSH2WCyVq+hqQFuX9kkaCa8m6LgqRei4al10DiwlUVatj/IqxVFWrU9Zx8P1hCgRC7z11luEhITg7OzMunXrWLhwYYnfRIpIxVJeRf4aO5fupKZXTdzquHHqm1N8Nu4z/J7108C6yF1Gx1UR26CsitgGZfXuocF1EQvs3LmTqVOncvHiRRo1asTMmTMJCwur6G6JSDGUV5G/xsWzF1kXu46LZy/i6u6KXw8/uv27W0V3S0TKmY6rIrZBWRWxDcrq3UOD6yIWWL58eUV3QUTKSHkV+Wt0GtqJTkM7VXQ3ROQO03FVxDYoqyK2QVm9e9yxB5qKiIiIiIiIiIiIiNytNLguIiIiIiIiIiIiImIhDa6LiIiIiIiIiIiIiFjIonuuJyUlkZWVdaf6YtVSUlKAe3sdiNgCZVXENhRkNfOLTM58e6aCeyMiJTmSegTQcVXE2ukcWMR2KK8ituHo0aNlKmcwmUym0grt2LGDdu3akZeXd9sds2V2dnbk5+dXdDdEpBQGOwOm/FJ3bSJSwXRcFbENyqqIbVBWRWyH8ipiG+zt7dm2bRtt27YtsUyZfrnu6OhIXl4eCQkJeHt7l1sHbUlSUhJjxoy5p9eBiC0oyGr/uf1xN7pXdHdEpASZX2SybuI6HVdFrJzOgUVsg7IqYjuUVxHbkJWVRf/+/XF0dLxpOYtuC+Pt7Y2/v/9tdcxWFVyqcy+vAxFbUJBVd6M7nr6eFdwbESlJwa1gdFwVsW46BxaxDcqqiO1QXkXuLnqgqYiIiIiIiIiIiIiIhTS4LiIiIiIiIiIiIiJiIQ2ui4iIiIiIiIiIiIhYSIPrIiXYvHkzBoOBc+fOVXRXrKovInfKsBrD+Hrt1xXdDcC6+iJyN7Gm45k19UXE2lhTPqypLyLWxpryYU19EbE21pQPa+rL3aJcBtcHDRqEwWBg8uTJhaavXr0ag8FQHk2Uu3HjxtGsWTOcnZ2pXr06wcHBpKamVnS3bFp5bgdeXl7MmDGjzOVjY2Oxt7dn2rRpFrVzM4899hjZ2dm4ubmVW50id4ujO48SUTOC9/u+X251xmTF4BPsU271idwNdGwVsQ3KqohtUFZFbIOyKrak3H657uTkxJQpU8jJySmvKgG4evVqudZXwGg08s4775CRkcGXX36Jl5cXTz75JD/++OMdae9ecae2g9LMnz+fkSNHMn/+/HKrs3Llynh4eFjtF0QiFSk1IZV2g9txeMdhzmefL5c6Xd1dcXB0KJe6RO4mOraK2AZlVcQ2KKsitkFZFVtRboPrwcHBeHh4EBsbW2KZcePG4efnV2jajBkz8PLyMr8fNGgQzz77LBMnTqRu3bo0bdoUgNmzZ9OkSROcnJxwd3end+/e5mXy8/OJjY2lYcOGVKlSBV9fX1asWHHT/v7tb38jODiYRo0a0bx5c+Li4rhw4QJff63bANyOsmwHACtXrqR58+Y4Ojri5eXF9OnTzfM6dOjA8ePHiYiIwGAwlLrz2bJlC5cvXyYmJoYLFy6wffv2QvP37dtHx44dcXFxwdXVlVatWpGWlgbA8ePH6d69O9WrV8fZ2ZnmzZuTlJQEFH+pzLx58/D09OS+++6jZ8+exMXFUa1aNfP8gm38o48+wsvLCzc3N/r168fFixfNZcqyvSYlJWE0GqlSpQodO3bk2LFjN10HIn+lK5eusGf1HgJfDsQnxIedS3aa5+Wey+WjVz7ijSZvEFU3igmtJ5C6+MZVQdevXmfFyBWM9R5LZJ1I3nz4TTb8Z4N52T/fiuVo6lGmBk0lsk4k05+Yztdrv2ZYjWGczDgJwKEvDzGsxjC+3fIt05+YTtQDUczoPIMzh84U6m9GUgZvdXiLyDqRjG85nvVT1pN3Pc88/8fDPzKz20wi60QS+2gsBzcdvCPrTeRW6diqY6vYBmVVWRXboKwqq2IblFVl1VaU2+C6vb09kyZNYtasWZw8efK26tq4cSMHDx5kw4YNJCYmkpaWxtChQ4mJieHgwYOsX7+eoKAgc/nY2FgWLVrEnDlz2L9/PxEREfTv358tW7aUqb2rV6/y/vvv4+bmhq+v7231/V5Xlu0gPT2dPn360K9fPzIyMhg3bhxjxoxhwYIFAKxatYp69eoRExNDdnY22dnZN20zPj6e0NBQKlWqRGhoKPHx8YXmv/DCC9SrV49du3aRnp7OqFGjqFSpEgCvvfYaV65cYevWrWRkZDBlyhSqVq1abDspKSmEh4fz+uuvs3fvXkJCQpg4cWKRcocPH2b16tUkJiaSmJjIli1bCl3KVNr2+v333/Pcc8/RvXt39u7dS1hYGKNGjbrpOhD5K+1ZvYfaTWrj3sSd1n1ak7o4FZPJBEDSpCROHzzNq8tfZdRXo3j+redxvt8ZgK1zt/LNum8YOH8g/9r5Lwa8P4Aa9WsU28ZvF35j3t/mUdenLpGbIuk6uiufvflZsWXXTlhLj/E9GLFxBHYOdiwdstQ87/COwyz++2KCXg1i1I5R9Inrw84lO9kw/cagfn5+PvNfnI9DZQciNkTQJ65Pie2IVBQdW3VsFdugrCqrYhuUVWVVbIOyqqzainK9/r5nz574+fkRHR1dZAO0hLOzMx988AGVK1cGboTB2dmZp59+GhcXFxo0aEDLli0BuHLlCpMmTeKLL76gbdu2ADRq1Igvv/ySuXPn0r59+xLbSUxMpF+/fuTm5lKnTh02bNhAzZo1b7nfckNp20FcXBydOnVizJgxwI1b9GRmZjJt2jQGDRpEjRo1sLe3x8XFBQ8Pj5u2deHCBVasWMGOHTsA6N+/P+3atePtt98278ROnDhBVFQUzZo1A6BJkybm5U+cOEGvXr1o0aIFcGPbKcmsWbPo2rUrkZGR5n5v376dxMTEQuXy8/NZsGABLi4uAAwYMICNGzcyceLEMm2v7733Ho0bNzZ/29q0aVPzjlnEGqQmpNL6+dYANOvUjMsXLvNdync0ebwJOSdzeKDFA9RvWR+A++vfb14u51QOtRrXotGjjTAYDNTwLH5gHSB9ZToGg4G+M/pSyakSHs08OJ99nmXDlhUp2+3f3Xgw8EEAgocF837f97n22zUqOVXi86mf02lYJwJCAwCo6VWTp/71FGvGraHLP7vw7eZvOXPoDOErwnGr42aub26fueWzskTKiY6tOraKbVBWlVWxDcqqsiq2QVlVVm1Buf1yvcCUKVNYuHAhWVlZt1xHixYtzAPrACEhITRo0IBGjRoxYMAAFi9eTG5uLgDfffcdubm5hISEULVqVfNr0aJFHD58+KbtdOzYkb1797J9+3a6dOlCnz59OHv27C33W353s+0gKyuLwMDAQtMCAwM5dOgQeXl5RcrfzJIlS2jcuLH5igM/Pz8aNGjAsmW/D8ANHz6csLAwgoODmTx5cqHtYujQoUyYMIHAwECio6NveluggwcPEhAQUGjan9/DjYdlFOz4AOrUqWPersqyvWZlZfHII48UqrNgRylS0c4cOsPx3cfx7+UPgL2DPS17tiQ14catXwJfCmTPp3uYGjSVNdFrOJp61LxsQGgApzJOMSlgEitHreRA8oES2zl76Cx1m9elklMl87QGrRoUW7Zu87rmf7u6uwJw6adLAJz65hT/m/Y/RnqONL+WDVvGhdMXuJp7lTPfnqH6A9XNA+sAXgFeFq4Vkb+Gjq06toptUFaVVbENyqqyKrZBWVVWrV25D64HBQXRuXNnRo8eXbQxOzvzrQMKXLt2rUg5Z2fnQu9dXFzYvXs3S5YsoU6dOowdOxZfX1/OnTvHpUs3BlDWrl3L3r17za/MzMxS77vu7OzMgw8+yKOPPkp8fDwODg639Yt7+d3NtoPyFB8fz/79+3FwcDC/MjMzCz14Yty4cezfv59u3bqRnJyMj48Pn376KQBhYWEcOXKEAQMGkJGRQevWrZk1a9Zt9angkqACBoOB/Px8gNvaXkWsQWpCKvnX84n2iWZ4reEMrzWclPkp7PtsH5cvXMYnxIfofdF0+HsHzp8+z+yes/nvmP8C4Onrydg9Y+k6uivXLl9jwcsL+HDgh7fdJ7tKfziU/d8t9Aoyd/XXq3QZ1YWoLVHm18gvR/JG2hs4OOnhqWJbdGz9nY6tYs2U1d8pq2LNlNXfKatizZTV3ymr1umOjCxMnjwZPz8/88NIC9SqVYvTp09jMpnMDxHYu3dvmep0cHAgODiY4OBgoqOjqVatGsnJyYSEhODo6MiJEydueguYssjPz+fKlSu3VYf8rqTtwNvbm5SUlELTUlJSMBqN2NvbAzeepFzat4wZGRmkpaWxefNmatT4/fYSv/zyCx06dODAgQPmS3WMRiNGo5GIiAhCQ0P58MMP6dmzJwCenp6Eh4cTHh7O6NGjmTdvHkOGDCnSXtOmTdm1a1ehaX9+XxofH59St1dvb2/WrFlTaNpXX31lUTsid0Le9Tx2LdtFj/E9aNaxWaF58QPi2b1yN4EvBVK1ZlUCQgMICA0gpW0Ka8auocf4HgA4uTrh/5w//s/54/uML3Ofn8uvOb/iXL3wl6q1m9Qm7ZM0rl+5joPjjUPVid0nLO5zvYfrcfbQWWo1qlXsfHejOzmncjh/+jxuHjd+vX5s1zGL2xH5q+jYWpSOrWKNlNWilFWxRspqUcqqWCNltShl1XrckcH1Fi1a8MILLzBz5sxC0zt06MCPP/7I1KlT6d27N+vXr2fdunW4urretL7ExESOHDlCUFAQ1atXJykpifz8fJo2bYqLiwuRkZFERESQn5/P448/zvnz50lJScHV1ZWBAwcWqe/XX39l4sSJPPPMM9SpU4effvqJd999l1OnTvH888+X67q4l5W0HYwYMYI2bdowfvx4+vbty44dO3jnnXeYPXu2uYyXlxdbt26lX79+ODo6Fnsv/Pj4eAICAgo93LZAmzZtiI+PJyYmhqioKHr37k3Dhg05efIku3btolevXgAMGzaMrl27YjQaycnJYdOmTXh7exf7eYYMGUJQUBBxcXF0796d5ORk1q1bV+rTpv+oLNtreHg406dPJyoqirCwMNLT080P4xCpSPs/30/uuVweHfAoVVyrFJr3cPeH+SrhK85nn8fTzxOPZh5cv3KdzM8zcTe6A7Dp3U24erhSr0U9DHYG9v13H67urlRxq1KkrVa9WrF2wlqWRSyj0+udyDmZQ/I7yQAWZe7JqCeZFzqP6vWq4/uMLwY7Az988wPZB7Lp9kY3jB2M1G5cm4//8THPxDzDbxd/I2li0m2sJZE7S8fWonRsFWukrBalrIo1UlaLUlbFGimrRSmr1qPcbwtTICYmxnypQgFvb29mz57Nu+++i6+vLzt37jTfvP9mqlWrxqpVq3jiiSfw9vZmzpw5LFmyhObNmwMwfvx4xowZQ2xsLN7e3nTp0oW1a9fSsGHDYuuzt7fnwIED9OrVC6PRSPfu3fn555/Ztm2buU4pH8VtB/7+/ixfvpylS5fy0EMPMXbsWGJiYhg0aFCh5Y4dO0bjxo2pVavoL06vXr1KQkKCeSf2Z7169WLRokXY2dnx888/8+KLL2I0GunTpw9du3blzTffBCAvL4/XXnvNvN0YjcZCO+E/CgwMZM6cOcTFxeHr68v69euJiIjAycnJonVS2vZav359Vq5cyerVq/H19WXOnDlMmjTJojZE7oTUhFSatm9aZGAdwLe7L9/v+R47BzsSYxKZ2m4qs56ehcHewMD4G19yOlV1InlmMtM7TSeuUxy/fP8Lryx7BTu7oociJ1cnBn88mFMZp5jWfhpJE5PoPLIzgPmX7GXh3cmbwUsGc3DTQeKC45jx5Aw2v7eZGvVu/BrBzs6Olz96mWu/XSMuOI6lry/lqTeeupXVI/KX0bG1KB1bxRopq0Upq2KNlNWilFWxRspqUcqqdTCY/nwT9GLs3r2bVq1akZ6ejr+//1/RL6uzePFi+vfvf0+vAylq8ODBHDhwgG3btlV0V+T/FGR1xKYRePp6VnR3pBylfZLGkv9vCbHHYqlcpXLpC4hVS/skjYRXE3RclSJ0bLUuOgeWkiir1kVZlZIoq9ZHeZXiKKvWp6zj4Xqam4gF3nrrLUJCQnB2dmbdunUsXLiwxG8iReT27Fy6k5peNXGr48apb07x2bjP8HvWTwPrIncZHVtFbIOyKmIblFUR26Cs3j00uC5igZ07dzJ16lQuXrxIo0aNmDlzJmFhYRXdLZG70sWzF1kXu46LZy/i6u6KXw8/uv27W0V3S0TKmY6tIrZBWRWxDcqqiG1QVu8eGlwXscDy5csrugsi94xOQzvRaWiniu6GiNxhOraK2AZlVcQ2KKsitkFZvXvcsQeaioiIiIiIiIiIiIjcrTS4LiIiIiIiIiIiIiJiIQ2ui4iIiIiIiIiIiIhYSIPrIiIiIiIiIiIiIiIWsuiBpklJSWRlZd2pvli1lJQU4N5eByK2oCCrmV9kcubbMxXcGxEpyZHUI4COqyLWTufAIrZBWRWxHcqriG04evRomcoZTCaTqbRCO3bsoF27duTl5d12x2yZnZ0d+fn5Fd0NESmFsipiGwx2Bkz5pZ6GiEgFU1ZFbIPOgUVsh/IqYhvs7e3Ztm0bbdu2LbFMmX657ujoSF5eHgkJCXh7e5dbB21JUlISY8aMuafXgYgtUFZFbENBVvvP7Y+70b2iuyMiJcj8IpN1E9cpqyJWriCrOgcWsX76m1XENmRlZdG/f38cHR1vWs6i28J4e3vj7+9/Wx2zVQWX6tzL60DEFiirIrahIKvuRnc8fT0ruDciUpKCW6wpqyLWrSCrOgcWsX76m1Xk7qIHmoqIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFtLgukgJNm/ejMFg4Ny5cxXdFavqi4g1sqaMWFNfRO6EYTWG8fXaryu6G4B19UXE2lhTPqypLyJ3E2s677SmvohYG2vKhzX15W5RLoPrgwYNwmAwMHny5ELTV69ejcFgKI8m7qjw8HAMBgMzZsyo6K7YtPLcDry8vCz6/4iNjcXe3p5p06ZZ1M7NPPbYY2RnZ+Pm5lZudYpYC+VV5N5wdOdRImpG8H7f98utzpisGHyCfcqtPhFRVkX+KjoHFrENyqrYknL75bqTkxNTpkwhJyenvKoE4OrVq+Va3599+umnfPXVV9StW/eOtnOvuFPbQWnmz5/PyJEjmT9/frnVWblyZTw8PGziCyKRW6G8itz9UhNSaTe4HYd3HOZ89vlyqdPV3RUHR4dyqUtEblBWRf46OgcWsQ3KqtiKchtcDw4OxsPDg9jY2BLLjBs3Dj8/v0LTZsyYgZeXl/n9oEGDePbZZ5k4cSJ169aladOmAMyePZsmTZrg5OSEu7s7vXv3Ni+Tn59PbGwsDRs2pEqVKvj6+rJixYpS+3zq1CmGDBnC4sWLqVSpkmUfWIpVlu0AYOXKlTRv3hxHR0e8vLyYPn26eV6HDh04fvw4ERERGAyGUnc+W7Zs4fLly8TExHDhwgW2b99eaP6+ffvo2LEjLi4uuLq60qpVK9LS0gA4fvw43bt3p3r16jg7O9O8eXOSkpKA4i+VmTdvHp6entx333307NmTuLg4qlWrZp5fsI1/9NFHeHl54ebmRr9+/bh48aK5TFm216SkJIxGI1WqVKFjx44cO3bsputA5FYor8qr3N2uXLrCntV7CHw5EJ8QH3Yu2Wmel3sul49e+Yg3mrxBVN0oJrSeQOriVACuX73OipErGOs9lsg6kbz58Jts+M8G87J/vr3D0dSjTA2aSmSdSKY/MZ2v137NsBrDOJlxEoBDXx5iWI1hfLvlW6Y/MZ2oB6KY0XkGZw6dKdTfjKQM3urwFpF1Ihnfcjzrp6wn73qeef6Ph39kZreZRNaJJPbRWA5uOnhH1pvIX01ZFflr6RxY58BiG5RVZdVWlNtPGezt7Zk0aRJ/+9vfGDp0KPXq1bvlujZu3IirqysbNtw4OUxLS2Po0KF89NFHPPbYY/zyyy9s27bNXD42NpaEhATmzJlDkyZN2Lp1K/3796dWrVq0b9++2Dby8/MZMGAAUVFRNG/e/Jb7KoWVZTtIT0+nT58+jBs3jr59+7J9+3b+8Y9/cP/99zNo0CBWrVqFr68vr7zyCoMHDy61zfj4eEJDQ6lUqRKhoaHEx8fz2GOPmee/8MILtGzZkvfeew97e3v27t1r/jLltdde4+rVq2zduhVnZ2cyMzOpWrVqse2kpKQQHh7OlClTeOaZZ/jiiy8YM2ZMkXKHDx9m9erVJCYmkpOTQ58+fZg8eTITJ04ESt9ev//+e5577jlee+01XnnlFdLS0hgxYkSZ1r+IJZRX5VXubntW76F2k9q4N3GndZ/WfPqvTwmOCMZgMJA0KYnTB0/z6vJXcb7fmZ+O/MS1364BsHXuVr5Z9w0D5w+ker3qnDt1jpxTxf9i6LcLvzHvb/PwCfHhxfdf5Jfvf+HTNz4ttuzaCWvpMb4HVe+vyvIRy1k6ZCmvr38dgMM7DrP474t5bvJzNGrbiJ+P/syyiGUAdPlnF/Lz85n/4nxcarsQsSGC3y78xqf/Kr4dEVujrIr8tXQOrHNgsQ3KqrJqK8r1OsGePXvi5+dHdHQ08fHxt1yPs7MzH3zwAZUrVwZg1apVODs78/TTT+Pi4kKDBg1o2bIlAFeuXGHSpEl88cUXtG3bFoBGjRrx5ZdfMnfu3BIH16dMmYKDgwNDhw695X5K8UrbDuLi4ujUqZN5x2E0GsnMzGTatGkMGjSIGjVqYG9vj4uLCx4eHjdt68KFC6xYsYIdO3YA0L9/f9q1a8fbb79t3omdOHGCqKgomjVrBkCTJk3My584cYJevXrRokUL4Ma2U5JZs2bRtWtXIiMjzf3evn07iYmJhcrl5+ezYMECXFxcABgwYAAbN25k4sSJZdpe33vvPRo3bmz+trVp06ZkZGQwZcqUm64LkVuhvCqvcvdKTUil9fOtAWjWqRmXL1zmu5TvaPJ4E3JO5vBAiweo37I+APfXv9+8XM6pHGo1rkWjRxthMBio4VmjxDbSV6ZjMBjoO6MvlZwq4dHMg/PZ51k2bFmRst3+3Y0HAx8EIHhYMO/3fZ9rv12jklMlPp/6OZ2GdSIgNACAml41eepfT7Fm3Bq6/LML327+ljOHzhC+Ihy3Om7m+ub2mVs+K0ukAimrIn89nQPrHFhsg7KqrNqCcrstTIEpU6awcOFCsrKybrmOFi1amAfWAUJCQmjQoAGNGjViwIABLF68mNzcXAC+++47cnNzCQkJoWrVqubXokWLOHz4cLH1p6en8/bbb7NgwQLd7+gOudl2kJWVRWBgYKFpgYGBHDp0iLy8vCLlb2bJkiU0btwYX19fAPz8/GjQoAHLlv3+h8Lw4cMJCwsjODiYyZMnF9ouhg4dyoQJEwgMDCQ6Opqvv/66SBsFDh48SEBAQKFpf34PNx6WUbDjA6hTpw5nz54Fyra9ZmVl8cgjjxSqs2BHKXInKK/Kq9x9zhw6w/Hdx/Hv5Q+AvYM9LXu2JDXhxu0kAl8KZM+ne5gaNJU10Ws4mnrUvGxAaACnMk4xKWASK0et5EDygRLbOXvoLHWb16WS0++312vQqkGxZes2//35Nq7urgBc+ukSAKe+OcX/pv2PkZ4jza9lw5Zx4fQFruZe5cy3Z6j+QHXzYB2AV4CXhWtFxPooqyIVR+fAOgcW26CsKqvWrtwH14OCgujcuTOjR48u2pidHSaTqdC0a9euFSnn7Oxc6L2Liwu7d+9myZIl1KlTh7Fjx+Lr68u5c+e4dOnGid7atWvZu3ev+ZWZmVnifde3bdvG2bNnqV+/Pg4ODjg4OHD8+HFGjBhR6P7vcututh2Up/j4ePbv32/+f3RwcCAzM7PQgyfGjRvH/v376datG8nJyfj4+PDppzcuTw0LC+PIkSMMGDCAjIwMWrduzaxZs26rT3++f7/BYCA/Px/glrZXkTtNef2d8ip3i9SEVPKv5xPtE83wWsMZXms4KfNT2PfZPi5fuIxPiA/R+6Lp8PcOnD99ntk9Z/PfMf8FwNPXk7F7xtJ1dFeuXb7GgpcX8OHAD2+7T3aV/nDa+X+/bSjI29Vfr9JlVBeitkSZXyO/HMkbaW/g4KQHMsrdS1kVqTg6B/6dzoHFmimrv1NWrdMdOQOaPHkyfn5+5oeRFqhVqxanT5/GZDKZfzG+d+/eMtXp4OBAcHAwwcHBREdHU61aNZKTkwkJCcHR0ZETJ06UeAuYPxswYADBwcGFpnXu3JkBAwbw0ksvlakOKV1J24G3tzcpKSmFpqWkpGA0GrG3twduPEm5tG8ZMzIySEtLY/PmzdSo8ftlsL/88gsdOnTgwIED5kt1jEYjRqORiIgIQkND+fDDD+nZsycAnp6ehIeHEx4ezujRo5k3bx5Dhgwp0l7Tpk3ZtWtXoWl/fl8aHx+fUrdXb29v1qxZU2jaV199ZVE7IpZSXotSXsVW5V3PY9eyXfQY34NmHZsVmhc/IJ7dK3cT+FIgVWtWJSA0gIDQAFLaprBm7Bp6jO8BgJOrE/7P+eP/nD++z/gy9/m5/JrzK87VC/8AonaT2qR9ksb1K9dxcLxxWnli9wmL+1zv4XqcPXSWWo1qFTvf3ehOzqkczp8+j5vHjV/EHtt1zOJ2RKyJsipS8XQOXJTOgcUaKatFKavW444Mrrdo0YIXXniBmTNnFpreoUMHfvzxR6ZOnUrv3r1Zv34969atw9XV9ab1JSYmcuTIEYKCgqhevTpJSUnk5+fTtGlTXFxciIyMJCIigvz8fB5//HHOnz9PSkoKrq6uDBw4sEh9999/P/fff3+haZUqVcLDw6NIUOXWlbQdjBgxgjZt2jB+/Hj69u3Ljh07eOedd5g9e7a5jJeXF1u3bqVfv344OjpSs2bNIvXHx8cTEBBAUFBQkXlt2rQhPj6emJgYoqKi6N27Nw0bNuTkyZPs2rWLXr16ATBs2DC6du2K0WgkJyeHTZs24e3tXeznGTJkCEFBQcTFxdG9e3eSk5NZt26dRbcWKsv2Gh4ezvTp04mKiiIsLIz09HQWLFhQ5jZEboXyWpTyKrZq/+f7yT2Xy6MDHqWKa5VC8x7u/jBfJXzF+ezzePp54tHMg+tXrpP5eSbuRncANr27CVcPV+q1qIfBzsC+/+7D1d2VKm5VirTVqlcr1k5Yy7KIZXR6vRM5J3NIficZwKK8PRn1JPNC51G9XnV8n/HFYGfgh29+IPtANt3e6Iaxg5HajWvz8T8+5pmYZ/jt4m8kTUy6jbUkUvGUVZGKp3PgonQOLNZIWS1KWbUe5X5bmAIxMTHmSxUKeHt7M3v2bN599118fX3ZuXOn+eb9N1OtWjVWrVrFE088gbe3N3PmzGHJkiU0b94cgPHjxzNmzBhiY2Px9vamS5curF27loYNG96RzyZlV9x24O/vz/Lly1m6dCkPPfQQY8eOJSYmhkGDBhVa7tixYzRu3JhatYr+Mubq1askJCSYd2J/1qtXLxYtWoSdnR0///wzL774IkajkT59+tC1a1fefPNNAPLy8njttdfM243RaCy0E/6jwMBA5syZQ1xcHL6+vqxfv56IiAicnJwsWielba/169dn5cqVrF69Gl9fX+bMmcOkSZMsakPkViivRSmvYotSE1Jp2r5pkcE6AN/uvny/53vsHOxIjElkarupzHp6FgZ7AwPjb/wgwamqE8kzk5neaTpxneL45ftfeGXZK9jZFT1tdHJ1YvDHgzmVcYpp7aeRNDGJziM7A5h/HVsW3p28GbxkMAc3HSQuOI4ZT85g83ubqVHvxi+H7OzsePmjl7n22zXiguNY+vpSnnrjqVtZPSJWQ1kVsQ46By5K58BijZTVopRV62Aw/fkm6MXYvXs3rVq1Ij09HX9//7+iX1Zn8eLF9O/f/55eB1LU4MGDOXDgANu2bavorsj/UValJMqrdSnI6ohNI/D09azo7kg5SvskjSX/3xJij8VSuUrl0hcQq5b2SRoJryYoq3chZfXuUpBVnQPLn+kc2Prob1YpjrJqfco6Hq6nzohY4K233iIkJARnZ2fWrVvHwoULS/wmUkQqlvIq8tfYuXQnNb1q4lbHjVPfnOKzcZ/h96yfButErIyyKnJv0DmwiG1QVu8eGlwXscDOnTuZOnUqFy9epFGjRsycOZOwsLCK7paIFEN5FflrXDx7kXWx67h49iKu7q749fCj27+7VXS3RORPlFWRe4POgUVsg7J699DguogFli9fXtFdEJEyUl5F/hqdhnai09BOFd0NESmFsipyb9A5sIhtUFbvHnfsgaYiIiIiIiIiIiIiIncrDa6LiIiIiIiIiIiIiFhIg+siIiIiIiIiIiIiIhbS4LqIiIiIiIiIiIiIiIUseqBpUlISWVlZd6ovVi0lJQW4t9eBiC1QVkVsQ0FWM7/I5My3Zyq4NyJSkiOpRwBlVcTaFWRV58Ai1k9/s4rYhqNHj5apnMFkMplKK7Rjxw7atWtHXl7ebXfMlhnsDJjyS11dIlLB7OzsyM/Pr+huiEgplFUR26CsitgGZVXEdiivIrbB3t6ebdu20bZt2xLLlOmX646OjuTl5ZGQkIC3t3e5ddCWJCUlMWbMGPrP7Y+70b2iuyMiJcj8IpN1E9fd0/srEVtQcFxVVkWsm7IqYhuUVRHbobyK2IasrCz69++Po6PjTctZdFsYb29v/P39b6tjtqrgUh13ozuevp4V3BsRKUnBJev38v5KxBYUHFeVVRHrpqyK2AZlVcR2KK8idxc90FRERERERERERERExEIaXBcRERERERERERERsZAG10VERERERERERERELKTBdbnrDasxjK/Xfl3R3QCsqy8id5PNmzdjMBg4d+5cRXfFqvoiYm2sKR/W1BcRa2NN+bCmvohYG2vKhzX1RcTaWFM+rKkvd4tyGVwfNGgQBoOByZMnF5q+evVqDAZDeTRR7gr6/MdXly5dKrpb97yjO48SUTOC9/u+X251xmTF4BPsU271idwNynO/7eXlxYwZM8pcPjY2Fnt7e6ZNm2ZROzfz2GOPkZ2djZubW7nVKWINlFUR26CsitgGZVXENiirYkvK7ZfrTk5OTJkyhZycnPKqEoCrV6+Wa31/1KVLF7Kzs82vJUuW3LG2pGxSE1JpN7gdh3cc5nz2+XKp09XdFQdHh3KpS+Rucqf226WZP38+I0eOZP78+eVWZ+XKlfHw8LDaL3RFboeyKmIblFUR26CsitgGZVVsRbkNrgcHB+Ph4UFsbGyJZcaNG4efn1+haTNmzMDLy8v8ftCgQTz77LNMnDiRunXr0rRpUwBmz55NkyZNcHJywt3dnd69e5uXyc/PJzY2loYNG1KlShV8fX1ZsWJFqX12dHTEw8PD/KpevbplH1rK1ZVLV9izeg+BLwfiE+LDziU7zfNyz+Xy0Ssf8UaTN4iqG8WE1hNIXZwKwPWr11kxcgVjvccSWSeSNx9+kw3/2WBe9s+3YjmaepSpQVOJrBPJ9Cem8/XarxlWYxgnM04CcOjLQwyrMYxvt3zL9CemE/VAFDM6z+DMoTOF+puRlMFbHd4isk4k41uOZ/2U9eRdzzPP//Hwj8zsNpPIOpHEPhrLwU0H78h6E7lVZdlvA6xcuZLmzZvj6OiIl5cX06dPN8/r0KEDx48fJyIiwnwV0M1s2bKFy5cvExMTw4ULF9i+fXuh+fv27aNjx464uLjg6upKq1atSEtLA+D48eN0796d6tWr4+zsTPPmzUlKSgKKv7Rt3rx5eHp6ct9999GzZ0/i4uKoVq2aeX7BMemjjz7Cy8sLNzc3+vXrx8WLF81lynJ8SUpKwmg0UqVKFTp27MixY8duug5ELKWsKqtiG5RVZVVsg7KqrIptUFaVVVtRboPr9vb2TJo0iVmzZnHy5Mnbqmvjxo0cPHiQDRs2kJiYSFpaGkOHDiUmJoaDBw+yfv16goKCzOVjY2NZtGgRc+bMYf/+/URERNC/f3+2bNly03Y2b95M7dq1adq0KX//+9/5+eefb6vfcnv2rN5D7Sa1cW/iTus+rUldnIrJZAIgaVISpw+e5tXlrzLqq1E8/9bzON/vDMDWuVv5Zt03DJw/kH/t/BcD3h9Ajfo1im3jtwu/Me9v86jrU5fITZF0Hd2Vz978rNiyayespcf4HozYOAI7BzuWDllqnnd4x2EW/30xQa8GMWrHKPrE9WHnkp1smH5jUD8/P5/5L87HobIDERsi6BPXp8R2RCpKWfbb6enp9OnTh379+pGRkcG4ceMYM2YMCxYsAGDVqlXUq1ePmJgY81VANxMfH09oaCiVKlUiNDSU+Pj4QvNfeOEF6tWrx65du0hPT2fUqFFUqlQJgNdee40rV66wdetWMjIymDJlClWrVi22nZSUFMLDw3n99dfZu3cvISEhTJw4sUi5w4cPs3r1ahITE0lMTGTLli2FLj0s7fjy/fff89xzz9G9e3f27t1LWFgYo0aNuuk6ELGUsqqsim1QVpVVsQ3KqrIqtkFZVVZtRbneK6Nnz574+fkRHR1dZAO0hLOzMx988AGVK1cGboTB2dmZp59+GhcXFxo0aEDLli0BuHLlCpMmTeKLL76gbdu2ADRq1Igvv/ySuXPn0r59+2Lb6NKlC8899xwNGzbk8OHD/Otf/6Jr167s2LEDe3v7W+673LrUhFRaP98agGadmnH5wmW+S/mOJo83IedkDg+0eID6LesDcH/9+83L5ZzKoVbjWjR6tBEGg4EansUPrAOkr0zHYDDQd0ZfKjlVwqOZB+ezz7Ns2LIiZbv9uxsPBj4IQPCwYN7v+z7XfrtGJadKfD71czoN60RAaAAANb1q8tS/nmLNuDV0+WcXvt38LWcOnSF8RThuddzM9c3tM7d8VpZIOSltvx0XF0enTp0YM2YMAEajkczMTKZNm8agQYOoUaMG9vb2uLi44OHhcdO2Lly4wIoVK9ixYwcA/fv3p127drz99tvmk44TJ04QFRVFs2bNAGjSpIl5+RMnTtCrVy9atGgB3NjXl2TWrFl07dqVyMhIc7+3b99OYmJioXL5+fksWLAAFxcXAAYMGMDGjRuZOHFimY4v7733Ho0bNzb/OqJp06bmEymR8qSsKqtiG5RVZVVsg7KqrIptUFaVVVtQbr9cLzBlyhQWLlxIVlbWLdfRokUL88A6QEhICA0aNKBRo0YMGDCAxYsXk5ubC8B3331Hbm4uISEhVK1a1fxatGgRhw8fLrGNfv368cwzz9CiRQueffZZEhMT2bVrF5s3b77lfsutO3PoDMd3H8e/lz8A9g72tOzZktSEG7d+CXwpkD2f7mFq0FTWRK/haOpR87IBoQGcyjjFpIBJrBy1kgPJB0ps5+yhs9RtXpdKTpXM0xq0alBs2brN65r/7eruCsClny4BcOqbU/xv2v8Y6TnS/Fo2bBkXTl/gau5Vznx7huoPVDcPrAN4BXhZuFZE/ho3229nZWURGBhYaFpgYCCHDh0iLy+vSPmbWbJkCY0bN8bX1xcAPz8/GjRowLJlv3+5NXz4cMLCwggODmby5MmF9uNDhw5lwoQJBAYGEh0dzddff12kjQIHDx4kICCg0LQ/v4cbD7cpOFEBqFOnDmfPngXKdnzJysrikUceKVRnwYmNSHlTVpVVsQ3KqrIqtkFZVVbFNiiryqq1K/fB9aCgIDp37szo0aOLNmZnZ77NR4Fr164VKefs7FzovYuLC7t372bJkiXUqVOHsWPH4uvry7lz57h06cZg59q1a9m7d6/5lZmZWab7rhdo1KgRNWvW5LvvvivzMlJ+UhNSyb+eT7RPNMNrDWd4reGkzE9h32f7uHzhMj4hPkTvi6bD3ztw/vR5ZveczX/H/BcAT19Pxu4ZS9fRXbl2+RoLXl7AhwM/vO0+2VX6Qzz+77Zc+fn5AFz99SpdRnUhakuU+TXyy5G8kfYGDk56eKrYlpvtt8tTfHw8+/fvx8HBwfzKzMws9KCYcePGsX//frp160ZycjI+Pj58+umnAISFhXHkyBEGDBhARkYGrVu3ZtasWbfVp4JL+AoYDAZzzsvr+CJSXpTV3ymrYs2U1d8pq2LNlNXfKatizZTV3ymr1umOjAJOnjwZPz8/88NIC9SqVYvTp09jMpnMDxHYu3dvmep0cHAgODiY4OBgoqOjqVatGsnJyYSEhODo6MiJEydKvAVMWZw8eZKff/6ZOnXq3HIdcmvyruexa9kueozvQbOOzQrNix8Qz+6Vuwl8KZCqNasSEBpAQGgAKW1TWDN2DT3G9wDAydUJ/+f88X/OH99nfJn7/Fx+zfkV5+qFv6ip3aQ2aZ+kcf3KdRwcb2z+J3afsLjP9R6ux9lDZ6nVqFax892N7uScyuH86fO4edz49fqxXccsbkfkr1LSftvb25uUlJRC01JSUjAajeZbaFWuXLnUXwVkZGSQlpbG5s2bqVHj91s3/fLLL3To0IEDBw6YL60zGo0YjUYiIiIIDQ3lww8/pGfPngB4enoSHh5OeHg4o0ePZt68eQwZMqRIe02bNmXXrl2Fpv35fWl8fHxKPb54e3uzZs2aQtO++uori9oRsYSyWpSyKtZIWS1KWRVrpKwWpayKNVJWi1JWrccdGVxv0aIFL7zwAjNnziw0vUOHDvz4449MnTqV3r17s379etatW4erq+tN60tMTOTIkSMEBQVRvXp1kpKSyM/Pp2nTpri4uBAZGUlERAT5+fk8/vjjnD9/npSUFFxdXRk4cGCR+i5dusSbb75Jr1698PDw4PDhw4wcOZIHH3yQzp07l+u6kNLt/3w/uedyeXTAo1RxrVJo3sPdH+arhK84n30eTz9PPJp5cP3KdTI/z8Td6A7Apnc34erhSr0W9TDYGdj33324urtSxa1KkbZa9WrF2glrWRaxjE6vdyLnZA7J7yQDlPrU6D96MupJ5oXOo3q96vg+44vBzsAP3/xA9oFsur3RDWMHI7Ub1+bjf3zMMzHP8NvF30iamHQba0nkzippvz1ixAjatGnD+PHj6du3Lzt27OCdd95h9uzZ5jJeXl5s3bqVfv364ejoSM2aNYvUHx8fT0BAQKGHURdo06YN8fHxxMTEEBUVRe/evWnYsCEnT55k165d9OrVC4Bhw4bRtWtXjEYjOTk5bNq0CW9v72I/z5AhQwgKCiIuLo7u3buTnJzMunXrLMp5WY4v4eHhTJ8+naioKMLCwkhPTzc/PEfkTlBWi1JWxRopq0Upq2KNlNWilFWxRspqUcqq9Sj328IUiImJMV+qUMDb25vZs2fz7rvv4uvry86dO80377+ZatWqsWrVKp544gm8vb2ZM2cOS5YsoXnz5gCMHz+eMWPGEBsbi7e3N126dGHt2rU0bNiw2Prs7e35+uuveeaZZzAajfy///f/aNWqFdu2bcPR0fH2P7xYJDUhlabtmxYZWAfw7e7L93u+x87BjsSYRKa2m8qsp2dhsDcwMP7GFydOVZ1InpnM9E7TiesUxy/f/8Iry17Bzq7o5u3k6sTgjwdzKuMU09pPI2liEp1H3vhCpeCX7GXh3cmbwUsGc3DTQeKC45jx5Aw2v7eZGvVufMNpZ2fHyx+9zLXfrhEXHMfS15fy1BtP3crqEfnLFLff9vf3Z/ny5SxdupSHHnqIsWPHEhMTw6BBgwotd+zYMRo3bkytWkWv5rh69SoJCQnmk44/69WrF4sWLcLOzo6ff/6ZF198EaPRSJ8+fejatStvvvkmAHl5ebz22mvm/bzRaCx00vRHgYGBzJkzh7i4OHx9fVm/fj0RERE4OTlZtE5KO77Ur1+flStXsnr1anx9fZkzZw6TJk2yqA0RSymrRSmrYo2U1aKUVbFGympRyqpYI2W1KGXVOhhMf74JejF2795Nq1atSE9Px9/f/6/ol9VZvHgx/fv3Z8SmEXj6elZ0d6QcpX2SxpL/bwmxx2KpXKVy6QuIVUv7JI2EVxPu6f2VFG/w4MEcOHCAbdu2VXRXhN+Pq8qq/Jmyal2UVSmJsmpdlFUpibJqfZRXKY6yan3KOh6uJy/KPWfn0p3U9KqJWx03Tn1zis/GfYbfs34aWBe5y7z11luEhITg7OzMunXrWLhwYYm/HBCRiqOsitgGZVXENiirIrZBWb17aHBd7jkXz15kXew6Lp69iKu7K349/Oj2724V3S0RKWc7d+5k6tSpXLx4kUaNGjFz5kzCwsIqulsi8ifKqohtUFZFbIOyKmIblNW7hwbX5Z7TaWgnOg3tVNHdEJE7bPny5RXdBREpA2VVxDYoqyK2QVkVsQ3K6t3jjj3QVERERERERERERETkbqXBdRERERERERERERERC2lwXURERERERERERETEQhpcFxERERERERERERGxkEUPNE1KSiIrK+tO9cWqpaSkAJD5RSZnvj1Twb0RkZIcST0C3Nv7KxFbUHBcVVZFrJuyKmIblFUR26G8itiGo0ePlqmcwWQymUortGPHDtq1a0deXt5td8yWGewMmPJLXV0iUsHs7OzIz8+v6G6ISCmUVRHboKyK2AZlVcR2KK8itsHe3p5t27bRtm3bEsuU6Zfrjo6O5OXlkZCQgLe3d7l10JYkJSUxZswY+s/tj7vRvaK7IyIlyPwik3UT193T+ysRW1BwXFVWRaybsipiG5RVEduhvIrYhqysLPr374+jo+NNy1l0Wxhvb2/8/f1vq2O2quBSHXejO56+nhXcGxEpScFtm+7l/ZWILSg4riqrItZNWRWxDcqqiO1QXkXuLnqgqYiIiIiIiIiIiIiIhTS4LiIiIiIiIiIiIiJiIQ2uy11vWI1hfL3264ruBmBdfRG5m2zevBmDwcC5c+cquitW1RcRa2NN+bCmvohYG2vKhzX1RcTaWFM+rKkvItbGmvJhTX25W5TL4PqgQYMwGAxMnjy50PTVq1djMBjKo4k7Iisri2eeeQY3NzecnZ1p06YNJ06cqOhu3dOO7jxKRM0I3u/7frnVGZMVg0+wT7nVJ3I3KM/9tpeXFzNmzChz+djYWOzt7Zk2bZpF7dzMY489RnZ2Nm5ubuVWp4g1UFZFbIOyKmIblFUR26Csii0pt1+uOzk5MWXKFHJycsqrSgCuXr1arvUVOHz4MI8//jjNmjVj8+bNfP3114wZMwYnJ6c70p6UTWpCKu0Gt+PwjsOczz5fLnW6urvi4GjRs3tF7gl3ar9dmvnz5zNy5Ejmz59fbnVWrlwZDw8Pq/5CV+RWKasitkFZFbENyqqIbVBWxVaU2+B6cHAwHh4exMbGllhm3Lhx+Pn5FZo2Y8YMvLy8zO8HDRrEs88+y8SJE6lbty5NmzYFYPbs2TRp0gQnJyfc3d3p3bu3eZn8/HxiY2Np2LAhVapUwdfXlxUrVty0v2+88QZPPfUUU6dOpWXLljRu3JhnnnmG2rVrW/7hpVxcuXSFPav3EPhyID4hPuxcstM8L/dcLh+98hFvNHmDqLpRTGg9gdTFqQBcv3qdFSNXMNZ7LJF1Innz4TfZ8J8N5mX/fCuWo6lHmRo0lcg6kUx/Yjpfr/2aYTWGcTLjJACHvjzEsBrD+HbLt0x/YjpRD0Qxo/MMzhw6U6i/GUkZvNXhLSLrRDK+5XjWT1lP3vU88/wfD//IzG4ziawTSeyjsRzcdPCOrDeRW1WW/TbAypUrad68OY6Ojnh5eTF9+nTzvA4dOnD8+HEiIiIwGAylnixs2bKFy5cvExMTw4ULF9i+fXuh+fv27aNjx464uLjg6upKq1atSEtLA+D48eN0796d6tWr4+zsTPPmzUlKSgKKv7Rt3rx5eHp6ct9999GzZ0/i4uKoVq2aeX7BMemjjz7Cy8sLNzc3+vXrx8WLF81lynJ8SUpKwmg0UqVKFTp27MixY8duug5ELKWsKqtiG5RVZVVsg7KqrIptUFaVVVtRboPr9vb2TJo0iVmzZnHy5Mnbqmvjxo0cPHiQDRs2kJiYSFpaGkOHDiUmJoaDBw+yfv16goKCzOVjY2NZtGgRc+bMYf/+/URERNC/f3+2bNlSbP35+fmsXbsWo9FI586dqV27No888girV6++rX7L7dmzeg+1m9TGvYk7rfu0JnVxKiaTCYCkSUmcPniaV5e/yqivRvH8W8/jfL8zAFvnbuWbdd8wcP5A/rXzXwx4fwA16tcoto3fLvzGvL/No65PXSI3RdJ1dFc+e/OzYsuunbCWHuN7MGLjCOwc7Fg6ZKl53uEdh1n898UEvRrEqB2j6BPXh51LdrJh+o1B/fz8fOa/OB+Hyg5EbIigT1yfEtsRqShl2W+np6fTp08f+vXrR0ZGBuPGjWPMmDEsWLAAgFWrVlGvXj1iYmLIzs4mOzv7pm3Gx8cTGhpKpUqVCA0NJT4+vtD8F154gXr16rFr1y7S09MZNWoUlSpVAuC1117jypUrbN26lYyMDKZMmULVqlWLbSclJYXw8HBef/119u7dS0hICBMnTixS7vDhw6xevZrExEQSExPZsmVLoUsPSzu+fP/99zz33HN0796dvXv3EhYWxqhRo266DkQspawqq2IblFVlVWyDsqqsim1QVpVVW1Gu98ro2bMnfn5+REdHF9kALeHs7MwHH3xA5cqVgRthcHZ25umnn8bFxYUGDRrQsmVLAK5cucKkSZP44osvaNu2LQCNGjXiyy+/ZO7cubRv375I/WfPnuXSpUtMnjyZCRMmMGXKFNavX89zzz3Hpk2bil1G7rzUhFRaP98agGadmnH5wmW+S/mOJo83IedkDg+0eID6LesDcH/9+83L5ZzKoVbjWjR6tBEGg4EansUPrAOkr0zHYDDQd0ZfKjlVwqOZB+ezz7Ns2LIiZbv9uxsPBj4IQPCwYN7v+z7XfrtGJadKfD71czoN60RAaAAANb1q8tS/nmLNuDV0+WcXvt38LWcOnSF8RThuddzM9c3tM7d8VpZIOSltvx0XF0enTp0YM2YMAEajkczMTKZNm8agQYOoUaMG9vb2uLi44OHhcdO2Lly4wIoVK9ixYwcA/fv3p127drz99tvmk44TJ04QFRVFs2bNAGjSpIl5+RMnTtCrVy9atGgB3NjXl2TWrFl07dqVyMhIc7+3b99OYmJioXL5+fksWLAAFxcXAAYMGMDGjRuZOHFimY4v7733Ho0bNzb/OqJp06bmEymR8qSsKqtiG5RVZVVsg7KqrIptUFaVVVtQbr9cLzBlyhQWLlxIVlbWLdfRokUL88A6QEhICA0aNKBRo0YMGDCAxYsXk5ubC8B3331Hbm4uISEhVK1a1fxatGgRhw8fLrb+/Px8AHr06EFERAR+fn6MGjWKp59+mjlz5txyv+XWnTl0huO7j+Pfyx8Aewd7WvZsSWrCjVu/BL4UyJ5P9zA1aCprotdwNPWoedmA0ABOZZxiUsAkVo5ayYHkAyW2c/bQWeo2r0slp0rmaQ1aNSi2bN3mdc3/dnV3BeDST5cAOPXNKf437X+M9Bxpfi0btowLpy9wNfcqZ749Q/UHqpsH1gG8ArwsXCsif42b7bezsrIIDAwsNC0wMJBDhw6Rl5dXpPzNLFmyhMaNG+Pr6wuAn58fDRo0YNmy37/cGj58OGFhYQQHBzN58uRC+/GhQ4cyYcIEAgMDiY6O5uuvvy7SRoGDBw8SEBBQaNqf38ONh9sUnKgA1KlTh7NnzwJlO75kZWXxyCOPFKqz4MRGpLwpq8qq2AZlVVkV26CsKqtiG5RVZdXalfvgelBQEJ07d2b06NFFG7OzM9/mo8C1a9eKlHN2di703sXFhd27d7NkyRLq1KnD2LFj8fX15dy5c1y6dGOwc+3atezdu9f8yszMLPG+6zVr1sTBwQEfH59C0729vTlx4oRFn1fKR2pCKvnX84n2iWZ4reEMrzWclPkp7PtsH5cvXMYnxIfofdF0+HsHzp8+z+yes/nvmP8C4Onrydg9Y+k6uivXLl9jwcsL+HDgh7fdJ7tKf4jH/92Wq+CLmau/XqXLqC5EbYkyv0Z+OZI30t7AwUkPTxXbcrP9dnmKj49n//79ODg4mF+ZmZmFHhQzbtw49u/fT7du3UhOTsbHx4dPP/0UgLCwMI4cOcKAAQPIyMigdevWzJo167b6VHAJXwGDwWDO+a0cX0TuJGX1d8qqWDNl9XfKqlgzZfV3yqpYM2X1d8qqdbojo4CTJ0/Gz8/P/DDSArVq1eL06dOYTCbzQwT27t1bpjodHBwIDg4mODiY6OhoqlWrRnJyMiEhITg6OnLixIky386lcuXKtGnThoMHCz9g8ttvv6VBg+J/xSx3Tt71PHYt20WP8T1o1rFZoXnxA+LZvXI3gS8FUrVmVQJCAwgIDSClbQprxq6hx/geADi5OuH/nD/+z/nj+4wvc5+fy685v+JcvfAXNbWb1CbtkzSuX7mOg+ONzf/Ebsu/UKn3cD3OHjpLrUa1ip3vbnQn51QO50+fx83jxq/Xj+06ZnE7In+Vkvbb3t7epKSkFJqWkpKC0WjE3t4euLFPLe1XARkZGaSlpbF582Zq1Pj91k2//PILHTp04MCBA+ZL64xGI0ajkYiICEJDQ/nwww/p2bMnAJ6enoSHhxMeHs7o0aOZN28eQ4YMKdJe06ZN2bVrV6Fpf35fGh8fn1KPL97e3qxZs6bQtK+++sqidkQsoawWpayKNVJWi1JWxRopq0Upq2KNlNWilFXrcUcG11u0aMELL7zAzJkzC03v0KEDP/74I1OnTqV3796sX7+edevW4erqetP6EhMTOXLkCEFBQVSvXp2kpCTy8/Np2rQpLi4uREZGEhERQX5+Po8//jjnz58nJSUFV1dXBg4cWGydUVFR9O3bl6CgIDp27Mj69ev57LPP2Lx5c3mtBimj/Z/vJ/dcLo8OeJQqrlUKzXu4+8N8lfAV57PP4+nniUczD65fuU7m55m4G90B2PTuJlw9XKnXoh4GOwP7/rsPV3dXqrhVKdJWq16tWDthLcsiltHp9U7knMwh+Z1kgFKfGv1HT0Y9ybzQeVSvVx3fZ3wx2Bn44ZsfyD6QTbc3umHsYKR249p8/I+PeSbmGX67+BtJE5NuYy2J3Fkl7bdHjBhBmzZtGD9+PH379mXHjh288847zJ4921zGy8uLrVu30q9fPxwdHalZs2aR+uPj4wkICCj0MOoCbdq0IT4+npiYGKKioujduzcNGzbk5MmT7Nq1i169egEwbNgwunbtitFoJCcnh02bNuHt7V3s5xkyZAhBQUHExcXRvXt3kpOTWbdunUU5L8vxJTw8nOnTpxMVFUVYWBjp6enmh+eI3AnKalHKqlgjZbUoZVWskbJalLIq1khZLUpZtR7lfluYAjExMeZLFQp4e3sze/Zs3n33XXx9fdm5c6f55v03U61aNVatWsUTTzyBt7c3c+bMYcmSJTRv3hyA8ePHM2bMGGJjY/H29qZLly6sXbuWhg0bllhnz549mTNnDlOnTqVFixZ88MEHrFy5kscff/z2PrhYLDUhlabtmxYZWAfw7e7L93u+x87BjsSYRKa2m8qsp2dhsDcwMP7GFydOVZ1InpnM9E7TiesUxy/f/8Iry17Bzq7o5u3k6sTgjwdzKuMU09pPI2liEp1HdgYw/5K9LLw7eTN4yWAObjpIXHAcM56cweb3NlOj3o1vOO3s7Hj5o5e59ts14oLjWPr6Up5646lbWT0if5ni9tv+/v4sX76cpUuX8tBDDzF27FhiYmIYNGhQoeWOHTtG48aNqVWr6NUcV69eJSEhwXzS8We9evVi0aJF2NnZ8fPPP/Piiy9iNBrp06cPXbt25c033wQgLy+P1157zbyfNxqNhU6a/igwMJA5c+YQFxeHr68v69evJyIiAicnJ4vWSWnHl/r167Ny5UpWr16Nr68vc+bMYdKkSRa1IWIpZbUoZVWskbJalLIq1khZLUpZFWukrBalrFoHg+nPN0Evxu7du2nVqhXp6en4+/v/Ff2yOosXL6Z///6M2DQCT1/Piu6OlKO0T9JY8v8tIfZYLJWrVC59AbFqaZ+kkfBqwj29v5LiDR48mAMHDrBt27aK7orw+3FVWZU/U1ati7IqJVFWrYuyKiVRVq2P8irFUVatT1nHw/XkRbnn7Fy6k5peNXGr48apb07x2bjP8HvWTwPrIneZt956i5CQEJydnVm3bh0LFy4s8ZcDIlJxlFUR26CsitgGZVXENiirdw8Nrss95+LZi6yLXcfFsxdxdXfFr4cf3f7draK7JSLlbOfOnUydOpWLFy/SqFEjZs6cSVhYWEV3S0T+RFkVsQ3KqohtUFZFbIOyevfQ4LrcczoN7USnoZ0quhsicoctX768orsgImWgrIrYBmVVxDYoqyK2QVm9e9yxB5qKiIiIiIiIiIiIiNytNLguIiIiIiIiIiIiImIhDa6LiIiIiIiIiIiIiFhIg+siIiIiIiIiIiIiIhay6IGmWVlZd6ofVu/o0aMAnPn2TAX3RERu5ucTPwP39v5KxBYUHFeVVRHrpqyK2AZlVcR2KK8itqGsGTWYTCZTaYVOnDiBt7c3ubm5t90xW2awM2DKL3V1iUgFs7O3Iz8vv6K7ISKlsLe3Jy8vr6K7ISKlUFZFbIOyKmI7lFcR23DfffeRlZVF/fr1SyxTpsF1uDHA/tNPP5Vb52zRlStXcHR0rOhuiEgplFUR26CsitgGZVXENiirIrZDeRWxDTVr1rzpwDpYMLguIiIiIiIiIiIiIiI36IGmIiIiIiIiIiIiIiIW0uC6iIiIiIiIiIiIiIiFNLguIiIiIiIiIiIiImIhDa6LiIiIiIiIiIiIiFhIg+siIiIiIiIiIiIiIhbS4LqIiIiIiIiIiIiIiIU0uC4iIiIiIiIiIiIiYiENrouIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFtLguoiIiIiIiIiIiIiIhTS4LiIiIiIiIiIiIiJiIQ2ui4iIiIiIiIiIiIhYSIPrIiIiIiIiIiIiIiIW0uC6iIiIiIiIiIiIiIiFNLguIiIiIiIiIiIiImIhDa6LiIiIiIiIiIiIiFjo/wcmHCvdSVBEDAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,2,1]) != (shifts[1,0,0])]\n",
      "Size of CL:  19\n",
      "Size of B:  126\n",
      "Number of Queries:  135\n",
      "Query135: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query136: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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yusey/k7zWrNmzXzzmtOWFExZLbrSzurGjRvz3c979+5d4Hs++eQTo3Xr1kaVKlWMMmXKGDVq1DD69OljHDt2zFKmZcuWxttvv53rfZ06dcpVL2AsX77c8vr3Wc4RHh5uVKpUqdDsbdy40fD39zfKlClj1K5d+7bnzHKLslp0yupyy+u7yWp+n6FmzZqFfn5RXotKWV1ueX2nWW3ZsmWxP4PcUtS5YJNhGMadTMo/bHbv3k2TJk1ITk6mcePGpd2dh8qnn35KREQE//vf/yhTpkxpd0es3Pz58+nZs6eyWgqUVSkOZbV0Ka9SVMpq6VJWpaiU1dKlrEpxKK+lR1mV4ijqXLBuCyNWKzMzk/T0dMaNG8ebb76pA5+IlVJWRWyH8ipiG5RVEdugrIrYBmVV7iU90FSs1oQJE6hfvz6enp4MGzastLsjIgVQVkVsh/IqYhuUVRHboKyK2AZlVe4lTa6L1Ro5ciTXr19n/fr1etiYiBVTVkVsh/IqYhuUVRHboKyK2AZlVe4lTa6LiIiIiIiIiIiIiBSTJtdFRERERERERERERIpJk+siIiIiIiIiIiIiIsXkUNSCJ06c4Oeff76XfbFqaWlpACQkJFj+W0SsT2JiIqCsilg7ZVXENiirIrZBWRWxHcqriG04evRokcqZDMMwCit04sQJfHx8yMzMvOuO2TI7Ozuys7NLuxsiUghlVcQ2mOxMGNmFnoaISClTVkVsg86BRWyH8ipiG+zt7dm6dSvNmzcvsEyRfrn+888/k5mZSXx8PD4+PiXWQVuSkJDA8OHDH+ptIGILlFUR25CT1Z4zeuJh9ijt7ohIAVK/SmXNmDXKqoiVy8mqzoFFrJ/+zSpiG9LS0ujZsydOTk63LVfk28IA+Pj40Lhx47vqmK3KuVTnYd4GIrZAWRWxDTlZ9TB74OXnVcq9EZGCnPn+DKCsili7nKzqHFjE+unfrCIPFj3QVERERERERERERESkmDS5LiIiIiIiIiIiIiJSTJpcFxEREREREREREREpJk2uixRg06ZNmEwmzp07V9pdsaq+iFgja8qINfVF5F4YUHEA+1bvK+1uANbVFxFrY035sKa+iDxIrOm805r6ImJtrCkf1tSXB0WJTK736dMHk8nEuHHjci1fsWIFJpOpJJooccuWLeO5556jUqVKmEwm9u7dW9pdsnkluR94e3szefLkIpePiYnB3t6eiRMnFqud23n66adJT0/H3d29xOoUsRbKq8jD4ejOo0RUjuCT7p+UWJ3RadH4BvuWWH0ioqyK3C86BxaxDcqq2JIS++W6s7Mz48ePJyMjo6SqBODatWslWl+O3377jWeeeYbx48ffk/ofVvdqPyjMrFmzGDJkCLNmzSqxOsuUKYOnp6fVfkEkcreUV5EH3474HbTo24LD2w9zPv18idTp5uGGg5NDidQlIjcpqyL3j86BRWyDsiq2osQm14ODg/H09CQmJqbAMiNHjsTf3z/XssmTJ+Pt7W153adPH1566SXGjBlDtWrVqFevHgDTpk2jbt26ODs74+HhQdeuXS3vyc7OJiYmhlq1alG2bFn8/PxYsmTJbfvbq1cvRowYQXBwcPE/rBSoKPsBwNKlS2nQoAFOTk54e3szadIky7pWrVpx/PhxIiIiMJlMhR58Nm/ezOXLl4mOjubChQts27Yt1/pvv/2W1q1b4+rqipubG02aNCEpKQmA48eP07FjRypUqICLiwsNGjQgISEByP9SmZkzZ+Ll5cUjjzxC586diY2NpXz58pb1Ofv4p59+ire3N+7u7vTo0YOLFy9ayhRlf01ISMBsNlO2bFlat27NsWPHbrsNRO6E8qq8yoPt6qWr7Fmxh8DXA/EN8WXngp2WdZnnMvn0jU95t+67RFaLZHTT0eyYvwOAG9dusGTIEkb4jGBw1cG898R7rPvXOst7/3h7h6M7jjIhaAKDqw5m0rOT2Ld6HwMqDuBkykkADn19iAEVB/D95u+Z9OwkIh+LZHLbyZw5dCZXf1MSUni/1fsMrjqYUY1GsXb8WrJuZFnW/3T4J6Z0mMLgqoOJeSqGgxsP3pPtJnK/Kasi95fOgXUOLLZBWVVWbUWJ/ZTB3t6esWPH8pe//IX+/ftTvXr1O65r/fr1uLm5sW7dzZPDpKQk+vfvz6effsrTTz/Nr7/+ytatWy3lY2JiiI+PZ/r06dStW5ctW7bQs2dPqlSpQsuWLe/6s0nRFWU/SE5Oplu3bowcOZLu3buzbds2/v73v1OpUiX69OnDsmXL8PPz44033qBv376FthkXF0doaCiOjo6EhoYSFxfH008/bVn/yiuv0KhRIz7++GPs7e3Zu3cvjo6OALz11ltcu3aNLVu24OLiQmpqKuXKlcu3ncTERMLDwxk/fjwvvvgiX331FcOHD89T7vDhw6xYsYJVq1aRkZFBt27dGDduHGPGjAEK319//PFHXn75Zd566y3eeOMNkpKSGDRoUJG2v0hxKK/KqzzY9qzYw6N1H8WjrgdNuzVl+T+WExwRjMlkImFsAqcPnubNxW/iUsmFn4/8zPUr1wHYMmML3635jt6zelOhegXOnTpHxqn8fzF05cIVZv5lJr4hvrz6yav8+uOvLH93eb5lV49eTadRnShXqRyLBy1mYb+FvL32bQAObz/M/L/N5+VxL1O7eW1+OfoLiyIWAdDunXZkZ2cz69VZuD7qSsS6CK5cuMLyf+TfjoitUVZF7i+dA+scWGyDsqqs2ooSvU6wc+fO+Pv7ExUVRVxc3B3X4+Liwr///W/KlCkD3Lw/uouLCy+88AKurq7UrFmTRo0aAXD16lXGjh3LV199RfPmzQGoXbs2X3/9NTNmzNDkeikobD+IjY2lTZs2lgOH2WwmNTWViRMn0qdPHypWrIi9vT2urq54enretq0LFy6wZMkStm/fDkDPnj1p0aIFH3zwgeUgduLECSIjI6lfvz4AdevWtbz/xIkTdOnShYYNGwI3952CTJ06lfbt2zN48GBLv7dt28aqVatylcvOzmbOnDm4uroCN6+SWL9+PWPGjCnS/vrxxx9Tp04dy7et9erVIyUlRbcwkntCeVVe5cG1I34HTf/cFID6bepz+cJlfkj8gbrP1CXjZAaPNXyMGo1qAFCpRiXL+zJOZVClThVqP1Ubk8lERa+KBbaRvDQZk8lE98ndcXR2xLO+J+fTz7NowKI8ZTv8swOPBz4OQPCAYD7p/gnXr1zH0dmRLyd8SZsBbQgIDQCgsndlnv/H86wcuZJ277Tj+03fc+bQGcKXhONe1d1S34xuM0pmY4mUImVV5P7TObDOgcU2KKvKqi0osdvC5Bg/fjxz584lLS3tjuto2LChZWIdICQkhJo1a1K7dm169erF/PnzyczMBOCHH34gMzOTkJAQypUrZ/mbN28ehw8fvuvPI3fmdvtBWloagYGBuZYFBgZy6NAhsrKy8pS/nQULFlCnTh38/PwA8Pf3p2bNmixadOsfCgMHDiQsLIzg4GDGjRuXa7/o378/o0ePJjAwkKioKPbt25enjRwHDx4kICAg17I/voabD8vIOfABVK1albNnzwJF21/T0tJ48sknc9WZc6AUuReUV+VVHjxnDp3h+O7jNO7SGAB7B3sadW7Ejvibt5MIfC2QPcv3MCFoAiujVnJ0x1HLewNCAziVcoqxAWNZOnQpBzYcKLCds4fOUq1BNRydHS3LajapmW/Zag2qWf7bzcMNgEs/XwLg1Hen+O/E/zLEa4jlb9GARVw4fYFrmdc48/0ZKjxWwTJZB+Ad4F3MrSJifZRVkdKjc2CdA4ttUFaVVWtX4pPrQUFBtG3blmHDhuVtzM4OwzByLbt+/Xqeci4uLrleu7q6snv3bhYsWEDVqlUZMWIEfn5+nDt3jkuXbp7orV69mr1791r+UlNTC73vutw7t9sPSlJcXBz79+/HwcHB8peamprrwRMjR45k//79dOjQgQ0bNuDr68vy5TcvTw0LC+PIkSP06tWLlJQUmjZtytSpU++qTzmXBOUwmUxkZ2cDaH8Vq6S83qK8yoNiR/wOsm9kE+UbxcAqAxlYZSCJsxL59otvuXzhMr4hvkR9G0Wrv7Xi/OnzTOs8jf8M/w8AXn5ejNgzgvbD2nP98nXmvD6H2b1n33Wf7Bx/d9r5f7e7zMnbtd+u0W5oOyI3R1r+hnw9hHeT3sXBWQ9klAeXsipSenQOfIvOgcWaKau3KKvW6Z6cAY0bNw5/f3/Lw0hzVKlShdOnT2MYhuUhAnv37i1SnQ4ODgQHBxMcHExUVBTly5dnw4YNhISE4OTkxIkTJ3QLGCtT0H7g4+NDYmJirmWJiYmYzWbs7e2Bm09SLuxbxpSUFJKSkti0aRMVK966DPbXX3+lVatWHDhwwHKpjtlsxmw2ExERQWhoKLNnz6Zz584AeHl5ER4eTnh4OMOGDWPmzJn069cvT3v16tVj165duZb98XVhfH19C91ffXx8WLlyZa5l33zzTbHaESku5TUv5VVsVdaNLHYt2kWnUZ2o37p+rnVxveLYvXQ3ga8FUq5yOQJCAwgIDSCxeSIrR6yk06hOADi7OdP45cY0frkxfi/6MePPM/gt4zdcKuT+AcSjdR8l6fMkbly9gYPTzdPKE7tPFLvP1Z+oztlDZ6lSu0q+6z3MHmScyuD86fO4e978ReyxXceK3Y6INVFWRUqfzoHz0jmwWCNlNS9l1Xrck8n1hg0b8sorrzBlypRcy1u1asVPP/3EhAkT6Nq1K2vXrmXNmjW4ubndtr5Vq1Zx5MgRgoKCqFChAgkJCWRnZ1OvXj1cXV0ZPHgwERERZGdn88wzz3D+/HkSExNxc3Ojd+/e+db566+/cuLECf73v/8BNy/JAPD09Cz0PkxSNAXtB4MGDaJZs2aMGjWK7t27s337dj788EOmTZtmKePt7c2WLVvo0aMHTk5OVK5cOU/9cXFxBAQEEBQUlGdds2bNiIuLIzo6msjISLp27UqtWrU4efIku3btokuXLgAMGDCA9u3bYzabycjIYOPGjfj4+OT7efr160dQUBCxsbF07NiRDRs2sGbNmkKfNv17Rdlfw8PDmTRpEpGRkYSFhZGcnMycOXOK3IbInVBe81JexVbt/3I/mecyearXU5R1K5tr3RMdn+Cb+G84n34eL38vPOt7cuPqDVK/TMXD7AHAxo824ubpRvWG1THZmfj2P9/i5uFGWfeyedpq0qUJq0evZlHEItq83YaMkxls+HADQLHy9lzkc8wMnUmF6hXwe9EPk52J/333P9IPpNPh3Q6YW5l5tM6jfPb3z3gx+kWuXLxCwpiEu9hKIqVPWRUpfToHzkvnwGKNlNW8lFXrUeK3hckRHR1tuVQhh4+PD9OmTeOjjz7Cz8+PnTt3Wm7efzvly5dn2bJlPPvss/j4+DB9+nQWLFhAgwYNABg1ahTDhw8nJiYGHx8f2rVrx+rVq6lVq1aBda5cuZJGjRrRoUMHAHr06EGjRo2YPn36XXxq+aP89oPGjRuzePFiFi5cyJ/+9CdGjBhBdHQ0ffr0yfW+Y8eOUadOHapUyfvLmGvXrhEfH285iP1Rly5dmDdvHnZ2dvzyyy+8+uqrmM1munXrRvv27XnvvfcAyMrK4q233rLsN2azOddB+PcCAwOZPn06sbGx+Pn5sXbtWiIiInB2di7WNilsf61RowZLly5lxYoV+Pn5MX36dMaOHVusNkTuhPKal/IqtmhH/A7qtayXZ7IOwK+jHz/u+RE7BztWRa9iQosJTH1hKiZ7E73jbv4gwbmcMxumbGBSm0nEtonl1x9/5Y1Fb2Bnl/e00dnNmb6f9eVUyikmtpxIwpgE2g5pC2D5dWxR+LTxoe+CvhzceJDY4FgmPzeZTR9vomL1m78csrOz4/VPX+f6levEBsey8O2FPP/u83eyeUSshrIqYh10DpyXzoHFGimreSmr1sFk/PEm6PnYvXs3TZo0ITk5mcaNG9+Pflmd+fPn07Nnz4d6G0heffv25cCBA2zdurW0uyL/R1mVgiiv1iUnq4M2DsLLz6u0uyMlKOnzJBb8vwXEHIuhTNkyhb9BrFrS50nEvxmvrD6AlNUHS05WdQ4sf6RzYOujf7NKfpRV61PU+XA9dUakGN5//31CQkJwcXFhzZo1zJ07t8BvIkWkdCmvIvfHzoU7qexdGfeq7pz67hRfjPwC/5f8NVknYmWUVZGHg86BRWyDsvrg0OS6SDHs3LmTCRMmcPHiRWrXrs2UKVMICwsr7W6JSD6UV5H74+LZi6yJWcPFsxdx83DDv5M/Hf7ZobS7JSJ/oKyKPBx0DixiG5TVB4cm10WKYfHixaXdBREpIuVV5P5o078Nbfq3Ke1uiEghlFWRh4POgUVsg7L64LhnDzQVEREREREREREREXlQaXJdRERERERERERERKSYNLkuIiIiIiIiIiIiIlJMxbrnekJCAmlpafeqL1YtMTEReLi3gYgtUFZFbENOVlO/SuXM92dKuTciUpAjO44AyqqItcvJqs6BRayf/s0qYhuOHj1apHImwzCMwgpt376dFi1akJWVddcds2V2dnZkZ2eXdjdEpBDKqohtMNmZMLILPQ0RkVKmcVXENiirIrZDeRWxDfb29mzdupXmzZsXWKZIv1x3cnIiKyuL+Ph4fHx8SqyDtiQhIYHhw4c/1NtAxBYoqyK2ISerPWf0xMPsUdrdEZECpH6VypoxazSuilg5nQOL2A7lVcQ2pKWl0bNnT5ycnG5brli3hfHx8aFx48Z31TFblXOpzsO8DURsgbIqYhtysuph9sDLz6uUeyMiBcm5FYzGVRHrpnNgEduhvIo8WPRAUxERERERERERERGRYtLkuoiIiIiIiIiIiIhIMWlyXURERERERERERESkmDS5LiIiIiIiIiIiIiJSTJpcFynApk2bMJlMnDt3rrS7YlV9EbFG1pQRa+qLyL0woOIA9q3eV9rdAKyrLyIPEmsay6ypLyLWxpryYU19EbE21pQPa+rLg6JEJtf79OmDyWRi3LhxuZavWLECk8lUEk2UqOvXr/POO+/QsGFDXFxcqFatGq+++ir/+9//SrtrNq0k9wNvb28mT55c5PIxMTHY29szceLEYrVzO08//TTp6em4u7uXWJ0i1kJ5FXk4HN15lIjKEXzS/ZMSqzM6LRrfYN8Sq0/kQaBxVcQ2KKsitkFZFVtSYr9cd3Z2Zvz48WRkZJRUlQBcu3atROsDyMzMZPfu3QwfPpzdu3ezbNkyDh48yIsvvljibT1s7tV+UJhZs2YxZMgQZs2aVWJ1lilTBk9PT6v8gkikJCivIg++HfE7aNG3BYe3H+Z8+vkSqdPNww0HJ4cSqUvkQaJxVcQ2KKsitkFZFVtRYpPrwcHBeHp6EhMTU2CZkSNH4u/vn2vZ5MmT8fb2trzu06cPL730EmPGjKFatWrUq1cPgGnTplG3bl2cnZ3x8PCga9eulvdkZ2cTExNDrVq1KFu2LH5+fixZsqTAfri7u7Nu3Tq6detGvXr1eOqpp/jwww9JTk7mxIkTd7YBBCjafgCwdOlSGjRogJOTE97e3kyaNMmyrlWrVhw/fpyIiAhMJlOhB5/Nmzdz+fJloqOjuXDhAtu2bcu1/ttvv6V169a4urri5uZGkyZNSEpKAuD48eN07NiRChUq4OLiQoMGDUhISADyv1Rm5syZeHl58cgjj9C5c2diY2MpX768ZX3OPv7pp5/i7e2Nu7s7PXr04OLFi5YyRdlfExISMJvNlC1bltatW3Ps2LHbbgORO6G8Kq/yYLt66Sp7Vuwh8PVAfEN82blgp2Vd5rlMPn3jU96t+y6R1SIZ3XQ0O+bvAODGtRssGbKEET4jGFx1MO898R7r/rXO8t4/3orl6I6jTAiawOCqg5n07CT2rd7HgIoDOJlyEoBDXx9iQMUBfL/5eyY9O4nIxyKZ3HYyZw6dydXflIQU3m/1PoOrDmZUo1GsHb+WrBtZlvU/Hf6JKR2mMLjqYGKeiuHgxoP3ZLuJ3CmNqxpXxTYoq8qq2AZlVVm1FSU2uW5vb8/YsWOZOnUqJ0+evKu61q9fz8GDB1m3bh2rVq0iKSmJ/v37Ex0dzcGDB1m7di1BQUGW8jExMcybN4/p06ezf/9+IiIi6NmzJ5s3by5ym+fPn8dkMuXakaX4irIfJCcn061bN3r06EFKSgojR45k+PDhzJkzB4Bly5ZRvXp1oqOjSU9PJz09/bZtxsXFERoaiqOjI6GhocTFxeVa/8orr1C9enV27dpFcnIyQ4cOxdHREYC33nqLq1evsmXLFlJSUhg/fjzlypXLt53ExETCw8N5++232bt3LyEhIYwZMyZPucOHD7NixQpWrVrFqlWr2Lx5c65LmQrbX3/88UdefvllOnbsyN69ewkLC2Po0KG33QYid0J5VV7lwbZnxR4erfsoHnU9aNqtKTvm78AwDAASxiZw+uBp3lz8JkO/Gcqf3/8zLpVcANgyYwvfrfmO3rN684+d/6DXJ72oWKNivm1cuXCFmX+ZSTXfagzeOJj2w9rzxXtf5Ft29ejVdBrViUHrB2HnYMfCfgst6w5vP8z8v80n6M0ghm4fSrfYbuxcsJN1k25O6mdnZzPr1Vk4lHEgYl0E3WK7FdiOSGnRuKpxVWyDsqqsim1QVpVVW1Gi1/R27twZf39/oqKi8uyAxeHi4sK///1vypQpA9wMg4uLCy+88AKurq7UrFmTRo0aAXD16lXGjh3LV199RfPmzQGoXbs2X3/9NTNmzKBly5aFtnflyhXeeecdQkNDcXNzu+N+y02F7QexsbG0adOG4cOHA2A2m0lNTWXixIn06dOHihUrYm9vj6urK56enrdt68KFCyxZsoTt27cD0LNnT1q0aMEHH3xgOYidOHGCyMhI6tevD0DdunUt7z9x4gRdunShYcOGwM19pyBTp06lffv2DB482NLvbdu2sWrVqlzlsrOzmTNnDq6urgD06tWL9evXM2bMmCLtrx9//DF16tSxfNtar149y4FZpKQpr8qrPLh2xO+g6Z+bAlC/TX0uX7jMD4k/UPeZumSczOCxho9Ro1ENACrVqGR5X8apDKrUqULtp2pjMpmo6JX/xDpA8tJkTCYT3Sd3x9HZEc/6npxPP8+iAYvylO3wzw48Hvg4AMEDgvmk+ydcv3IdR2dHvpzwJW0GtCEgNACAyt6Vef4fz7Ny5EravdOO7zd9z5lDZwhfEo57VXdLfTO6zSiZjSVSQjSualwV26CsKqtiG5RVZdUWlNgv13OMHz+euXPnkpaWdsd1NGzY0DKxDhASEkLNmjWpXbs2vXr1Yv78+WRmZgLwww8/kJmZSUhICOXKlbP8zZs3j8OHDxfa1vXr1+nWrRuGYfDxxx/fcZ8lt9vtB2lpaQQGBuZaFhgYyKFDh8jKyspT/nYWLFhAnTp18PPzA8Df35+aNWuyaNGtf9QPHDiQsLAwgoODGTduXK79on///owePZrAwECioqLYt29fnjZyHDx4kICAgFzL/vgabj4sI+fAB1C1alXOnj0LFG1/TUtL48knn8xVZ86BUuReUF6VV3nwnDl0huO7j9O4S2MA7B3sadS5ETvib976JfC1QPYs38OEoAmsjFrJ0R1HLe8NCA3gVMopxgaMZenQpRzYcKDAds4eOku1BtVwdHa0LKvZpGa+Zas1qGb5bzePmz9muPTzJQBOfXeK/078L0O8hlj+Fg1YxIXTF7iWeY0z35+hwmMVLBPrAN4B3sXcKiL3h8ZVjatiG5RVZVVsg7KqrFq7Ep9cDwoKom3btgwbNixvY3Z2lsuRc1y/fj1PORcXl1yvXV1d2b17NwsWLKBq1aqMGDECPz8/zp07x6VLN/9Rtnr1avbu3Wv5S01Nve1913Pa7tatG8ePH2fdunX61XoJut1+UJLi4uLYv38/Dg4Olr/U1NRcD54YOXIk+/fvp0OHDmzYsAFfX1+WL18OQFhYGEeOHKFXr16kpKTQtGlTpk6deld9yrkkKIfJZCI7OxvgrvZXkXtFeb1FeZUHxY74HWTfyCbKN4qBVQYysMpAEmcl8u0X33L5wmV8Q3yJ+jaKVn9rxfnT55nWeRr/Gf4fALz8vBixZwTth7Xn+uXrzHl9DrN7z77rPtk5/u608/9ud5mTt2u/XaPd0HZEbo60/A35egjvJr2Lg7Meniq2RePqLRpXxZopq7coq2LNlNVblFXrdE/+tTJu3Dj8/f0tDyPNUaVKFU6fPo1hGJaHCOzdu7dIdTo4OBAcHExwcDBRUVGUL1+eDRs2EBISgpOTEydOnCjSLWBy5EysHzp0iI0bN1KpUqXC3yTFUtB+4OPjQ2JiYq5liYmJmM1m7O3tgZtPUi7sW8aUlBSSkpLYtGkTFSveumT9119/pVWrVhw4cMByqY7ZbMZsNhMREUFoaCizZ8+mc+fOAHh5eREeHk54eDjDhg1j5syZ9OvXL0979erVY9euXbmW/fF1YXx9fQvdX318fFi5cmWuZd98802x2hEpLuU1L+VVbFXWjSx2LdpFp1GdqN+6fq51cb3i2L10N4GvBVKucjkCQgMICA0gsXkiK0espNOoTgA4uznT+OXGNH65MX4v+jHjzzP4LeM3XCrk/gHEo3UfJenzJG5cvYGD083TyhO7i/9w+OpPVOfsobNUqV0l3/UeZg8yTmVw/vR53D1v/nr92K5jxW5H5H7RuJqXxlWxRspqXsqqWCNlNS9l1Xrck8n1hg0b8sorrzBlypRcy1u1asVPP/3EhAkT6Nq1K2vXrmXNmjWF/mJ81apVHDlyhKCgICpUqEBCQgLZ2dnUq1cPV1dXBg8eTEREBNnZ2TzzzDOcP3+exMRE3Nzc6N27d576rl+/TteuXdm9ezerVq0iKyuL06dPA1CxYsVct6SRO1fQfjBo0CCaNWvGqFGj6N69O9u3b+fDDz9k2rRpljLe3t5s2bKFHj164OTkROXKlfPUHxcXR0BAQK6H2+Zo1qwZcXFxREdHExkZSdeuXalVqxYnT55k165ddOnSBYABAwbQvn17zGYzGRkZbNy4ER8fn3w/T79+/QgKCiI2NpaOHTuyYcMG1qxZU+jTpn+vKPtreHg4kyZNIjIykrCwMJKTky0P4xC5V5TXvJRXsVX7v9xP5rlMnur1FGXdyuZa90THJ/gm/hvOp5/Hy98Lz/qe3Lh6g9QvU/EwewCw8aONuHm6Ub1hdUx2Jr79z7e4ebhR1r1snraadGnC6tGrWRSxiDZvtyHjZAYbPtwAUKy8PRf5HDNDZ1KhegX8XvTDZGfif9/9j/QD6XR4twPmVmYerfMon/39M16MfpErF6+QMCbhLraSyL2lcTUvjatijZTVvJRVsUbKal7KqvUo8dvC5IiOjrZcqpDDx8eHadOm8dFHH+Hn58fOnTstN++/nfLly7Ns2TKeffZZfHx8mD59OgsWLKBBgwYAjBo1iuHDhxMTE4OPjw/t2rVj9erV1KpVK9/6Tp06xcqVKzl58iT+/v5UrVrV8rdt27a7//Bikd9+0LhxYxYvXszChQv505/+xIgRI4iOjqZPnz653nfs2DHq1KlDlSp5f8V27do14uPjLQexP+rSpQvz5s3Dzs6OX375hVdffRWz2Uy3bt1o37497733HgBZWVm89dZblv3GbDbnOgj/XmBgINOnTyc2NhY/Pz/Wrl1LREQEzs7Oxdomhe2vNWrUYOnSpaxYsQI/Pz+mT5/O2LFji9WGyJ1QXvNSXsUW7YjfQb2W9fJMrAP4dfTjxz0/Yudgx6roVUxoMYGpL0zFZG+id9zNHyQ4l3Nmw5QNTGozidg2sfz646+8segN7OzynjY6uznT97O+nEo5xcSWE0kYk0DbIW0BLL9kLwqfNj70XdCXgxsPEhscy+TnJrPp401UrH7zl0N2dna8/unrXL9yndjgWBa+vZDn333+TjaPyH2jcTUvjatijZTVvJRVsUbKal7KqnUwGX+8CXo+du/eTZMmTUhOTqZx48b3o19WZ/78+fTs2fOh3gaSV9++fTlw4ABbt24t7a7I/1FWpSDKq3XJyeqgjYPw8vMq7e5ICUr6PIkF/28BMcdiKFNWVwPauqTPk4h/M17jquShcdW66BxYCqKsWh/lVfKjrFqfos6H6wlRIsXw/vvvExISgouLC2vWrGHu3LkFfhMpIqVLeRW5P3Yu3Ell78q4V3Xn1Hen+GLkF/i/5K+JdZEHjMZVEdugrIrYBmX1waHJdZFi2LlzJxMmTODixYvUrl2bKVOmEBYWVtrdEpF8KK8i98fFsxdZE7OGi2cv4ubhhn8nfzr8s0Npd0tESpjGVRHboKyK2AZl9cGhyXWRYli8eHFpd0FEikh5Fbk/2vRvQ5v+bUq7GyJyj2lcFbENyqqIbVBWHxz37IGmIiIiIiIiIiIiIiIPKk2ui4iIiIiIiIiIiIgUkybXRURERERERERERESKqVj3XE9ISCAtLe1e9cWqJSYmAg/3NhCxBcqqiG3IyWrqV6mc+f5MKfdGRApyZMcRQOOqiLXTObCI7VBeRWzD0aNHi1TOZBiGUVih7du306JFC7Kysu66Y7bMzs6O7Ozs0u6GiBTCZGfCyC700CYipUzjqoht0LgqYhuUVRHbofNgEdtgb2/P1q1bad68eYFlivTLdScnJ7KysoiPj8fHx6fEOmhLEhISGD58+EO9DURsQU5We87oiYfZo7S7IyIFSP0qlTVj1mhcFbFyGldFbEPOuKqsilg/nQeL2Ia0tDR69uyJk5PTbcsV67YwPj4+NG7c+K46ZqtyLtV5mLeBiC3IyaqH2QMvP69S7o2IFCTnVjAaV0Wsm8ZVEduQM64qqyLWT+fBIg8WPdBURERERERERERERKSYNLkuIiIiIiIiIiIiIlJMmlwXERERERERERERESkmTa6LFGDTpk2YTCbOnTtX2l2xqr6I3CsDKg5g3+p9pd0NwLr6IvIgsabxzJr6InIvWNNYZk19EbFG1pQRa+qLyIPCms47rakvD4oSmVzv06cPJpOJcePG5Vq+YsUKTCZTSTRR4kaOHEn9+vVxcXGhQoUKBAcHs2PHjtLulk0ryf3A29ubyZMnF7l8TEwM9vb2TJw4sVjt3M7TTz9Neno67u7uJVanyIPi6M6jRFSO4JPun5RYndFp0fgG+5ZYfSIPAo2tIg8HjasitkN5Fbn3dA4stqTEfrnu7OzM+PHjycjIKKkqAbh27VqJ1pfDbDbz4YcfkpKSwtdff423tzfPPfccP/300z1p72Fxr/aDwsyaNYshQ4Ywa9asEquzTJkyeHp6Wu0XRCKlaUf8Dlr0bcHh7Yc5n36+ROp083DDwcmhROoSeZBobBV58GlcFbEdyqvI/aFzYLEVJTa5HhwcjKenJzExMQWWGTlyJP7+/rmWTZ48GW9vb8vrPn368NJLLzFmzBiqVatGvXr1AJg2bRp169bF2dkZDw8PunbtanlPdnY2MTEx1KpVi7Jly+Ln58eSJUtu29+//OUvBAcHU7t2bRo0aEBsbCwXLlxg3z5d/nQ3irIfACxdupQGDRrg5OSEt7c3kyZNsqxr1aoVx48fJyIiApPJVOjBZ/PmzVy+fJno6GguXLjAtm3bcq3/9ttvad26Na6urri5udGkSROSkpIAOH78OB07dqRChQq4uLjQoEEDEhISgPwvlZk5cyZeXl488sgjdO7cmdjYWMqXL29Zn7OPf/rpp3h7e+Pu7k6PHj24ePGipUxR9teEhATMZjNly5aldevWHDt27LbbQOR+unrpKntW7CHw9UB8Q3zZuWCnZV3muUw+feNT3q37LpHVIhnddDQ75t+8KujGtRssGbKEET4jGFx1MO898R7r/rXO8t4/XoJ6dMdRJgRNYHDVwUx6dhL7Vu9jQMUBnEw5CcChrw8xoOIAvt/8PZOenUTkY5FMbjuZM4fO5OpvSkIK77d6n8FVBzOq0SjWjl9L1o0sy/qfDv/ElA5TGFx1MDFPxXBw48F7st1E7pTGVo2t8mDTuCpiO5RXkftH58A6B7YVJfbVqL29PWPHjuUvf/kL/fv3p3r16ndc1/r163Fzc2PdupuDTVJSEv379+fTTz/l6aef5tdff2Xr1q2W8jExMcTHxzN9+nTq1q3Lli1b6NmzJ1WqVKFly5aFtnft2jU++eQT3N3d8fPzu+N+S9H2g+TkZLp168bIkSPp3r0727Zt4+9//zuVKlWiT58+LFu2DD8/P9544w369u1baJtxcXGEhobi6OhIaGgocXFxPP3005b1r7zyCo0aNeLjjz/G3t6evXv34ujoCMBbb73FtWvX2LJlCy4uLqSmplKuXLl820lMTCQ8PJzx48fz4osv8tVXXzF8+PA85Q4fPsyKFStYtWoVGRkZdOvWjXHjxjFmzBig8P31xx9/5OWXX+att97ijTfeICkpiUGDBhVp+4vcD3tW7OHRuo/iUdeDpt2asvwfywmOCMZkMpEwNoHTB0/z5uI3cankws9Hfub6lesAbJmxhe/WfEfvWb2pUL0C506dI+NU/r9CuHLhCjP/MhPfEF9e/eRVfv3xV5a/uzzfsqtHr6bTqE6Uq1SOxYMWs7DfQt5e+zYAh7cfZv7f5vPyuJep3bw2vxz9hUURiwBo9047srOzmfXqLFwfdSViXQRXLlxh+T/yb0ektGhs1dgqDzaNqyK2Q3kVuX90DqxzYFtRotcdde7cGX9/f6KiooiLi7vjelxcXPj3v/9NmTJlAFi2bBkuLi688MILuLq6UrNmTRo1agTA1atXGTt2LF999RXNmzcHoHbt2nz99dfMmDHjtpPrq1atokePHmRmZlK1alXWrVtH5cqV77jfclNh+0FsbCxt2rSxHDjMZjOpqalMnDiRPn36ULFiRezt7XF1dcXT0/O2bV24cIElS5awfft2AHr27EmLFi344IMPLAexEydOEBkZSf369QGoW7eu5f0nTpygS5cuNGzYELi57xRk6tSptG/fnsGDB1v6vW3bNlatWpWrXHZ2NnPmzMHV1RWAXr16sX79esaMGVOk/fXjjz+mTp06lm9b69WrR0pKCuPHj7/tthC5X3bE76Dpn5sCUL9NfS5fuMwPiT9Q95m6ZJzM4LGGj1GjUQ0AKtWoZHlfxqkMqtSpQu2namMymajoVbHANpKXJmMymeg+uTuOzo541vfkfPp5Fg1YlKdsh3924PHAxwEIHhDMJ90/4fqV6zg6O/LlhC9pM6ANAaEBAFT2rszz/3ielSNX0u6ddny/6XvOHDpD+JJw3Ku6W+qb0W1GyWwskRKisVVjqzy4NK6K2A7lVeT+0jmwzoFtQYndFibH+PHjmTt3LmlpaXdcR8OGDS0T6wAhISHUrFmT2rVr06tXL+bPn09mZiYAP/zwA5mZmYSEhFCuXDnL37x58zh8+PBt22ndujV79+5l27ZttGvXjm7dunH27Nk77rfccrv9IC0tjcDAwFzLAgMDOXToEFlZWXnK386CBQuoU6eO5YoDf39/atasyaJFt048Bg4cSFhYGMHBwYwbNy7XftG/f39Gjx5NYGAgUVFRt70t0MGDBwkICMi17I+v4ebDMnIOfABVq1a17FdF2V/T0tJ48sknc9WZc6AUKW1nDp3h+O7jNO7SGAB7B3sadW7Ejvibl7wGvhbInuV7mBA0gZVRKzm646jlvQGhAZxKOcXYgLEsHbqUAxsOFNjO2UNnqdagGo7OjpZlNZvUzLdstQbVLP/t5uEGwKWfLwFw6rtT/HfifxniNcTyt2jAIi6cvsC1zGuc+f4MFR6rYPkHBYB3gHcxt4rI/aGxVWOrPHg0rorYDuVVpHToHFjnwNauxJ+YERQURNu2bRk2bBh9+vTJtc7Ozg7DMHItu379ep46XFxccr12dXVl9+7dbNq0if/+97+MGDGCkSNHsmvXLi5dujlwrF69msceeyzX+5ycnG7bVxcXFx5//HEef/xxnnrqKerWrUtcXBzDhg0r6seVAtxuPyhJcXFx7N+/HweHW7tydnY2s2bN4q9//Stw8z5Vf/nLX1i9ejVr1qwhKiqKhQsX0rlzZ8LCwmjbti2rV6/mv//9LzExMUyaNIl+/frdcZ9yLgnKYTKZyM7OBrir/VXEGuyI30H2jWyifKMsywzDwMHJgS4TuuAb4kvUt1Gkrkvl4KaDTOs8jWf++gydRnXCy8+LEXtGkPpVKt9v/p45r8+hXst6vDb3tbvqk53j774n/r9b6OVk7tpv12g3tB1PvPBEnvc5OOuhUWJbNLbeorFVHhQaV0Vsh/IqUjp0DnyLzoGt0z05oo4bNw5/f3/Lw0hzVKlShdOnT2MYhuUhAnv37i1SnQ4ODgQHBxMcHExUVBTly5dnw4YNhISE4OTkxIkTJ4p0f/Xbyc7O5urVq3dVh9xS0H7g4+NDYmJirmWJiYmYzWbs7e2Bm09SLuxbxpSUFJKSkti0aRMVK966rO7XX3+lVatWHDhwwHKpjtlsxmw2ExERQWhoKLNnz6Zz584AeHl5ER4eTnh4OMOGDWPmzJn5Hvzq1avHrl27ci374+vC+Pr6Frq/+vj4sHLlylzLvvnmm2K1I3IvZN3IYteiXXQa1Yn6revnWhfXK47dS3cT+Fog5SqXIyA0gIDQABKbJ7JyxEo6jeoEgLObM41fbkzjlxvj96IfM/48g98yfsOlQu4vVR+t+yhJnydx4+oNHJxuDlUndp8odp+rP1Gds4fOUqV2lXzXe5g9yDiVwfnT53H3vPmrnWO7jhW7HZH7RWNrXhpbxVZpXBWxHcqrSOnSOXBeOge2Hvdkcr1hw4a88sorTJkyJdfyVq1a8dNPPzFhwgS6du3K2rVrWbNmDW5ubretb9WqVRw5coSgoCAqVKhAQkIC2dnZ1KtXD1dXVwYPHkxERATZ2dk888wznD9/nsTERNzc3Ojdu3ee+n777TfGjBnDiy++SNWqVfn555/56KOPOHXqFH/+859LdFs8zAraDwYNGkSzZs0YNWoU3bt3Z/v27Xz44YdMmzbNUsbb25stW7bQo0cPnJyc8r0XflxcHAEBAQQFBeVZ16xZM+Li4oiOjiYyMpKuXbtSq1YtTp48ya5du+jSpQsAAwYMoH379pjNZjIyMti4cSM+Pj75fp5+/foRFBREbGwsHTt2ZMOGDaxZs6bQp03/XlH21/DwcCZNmkRkZCRhYWEkJyczZ86cIrchcq/s/3I/mecyearXU5R1K5tr3RMdn+Cb+G84n34eL38vPOt7cuPqDVK/TMXD7AHAxo824ubpRvWG1THZmfj2P9/i5uFGWfeyedpq0qUJq0evZlHEItq83YaMkxls+HADQLEy91zkc8wMnUmF6hXwe9EPk52J/333P9IPpNPh3Q6YW5l5tM6jfPb3z3gx+kWuXLxCwpiEu9hKIveWxta8NLaKrdK4KmI7lFeR0qVz4Lx0Dmw9Svye6zmio6Mtlyrk8PHxYdq0aXz00Uf4+fmxc+dOy837b6d8+fIsW7aMZ599Fh8fH6ZPn86CBQto0KABAKNGjWL48OHExMTg4+NDu3btWL16NbVq1cq3Pnt7ew4cOECXLl0wm8107NiRX375ha1bt1rqlJKR337QuHFjFi9ezMKFC/nTn/7EiBEjiI6OznV5T3R0NMeOHaNOnTpUqZL3m/Zr164RHx9vOYj9UZcuXZg3bx52dnb88ssvvPrqq5jNZrp160b79u157733AMjKyuKtt96y7DdmsznXQfj3AgMDmT59OrGxsfj5+bF27VoiIiJwdnYu1jYpbH+tUaMGS5cuZcWKFfj5+TF9+nTGjh1brDZE7oUd8Tuo17Jenn9QAPh19OPHPT9i52DHquhVTGgxgakvTMVkb6J33M0vOZ3LObNhygYmtZlEbJtYfv3xV95Y9AZ2dnmHImc3Z/p+1pdTKaeY2HIiCWMSaDukLYDlFzxF4dPGh74L+nJw40Fig2OZ/NxkNn28iYrVb/4awc7Ojtc/fZ3rV64TGxzLwrcX8vy7z9/J5hG5bzS25qWxVWyRxlUR26G8ipQ+nQPnpXNg62Ay/ngT9Hzs3r2bJk2akJycTOPGje9Hv6zO/Pnz6dmz50O9DSSvvn37cuDAAbZu3VraXZH/k5PVQRsH4eXnVdrdkRKU9HkSC/7fAmKOxVCmbJnC3yBWLenzJOLfjNe4KnlobLUuGlcfXBpXHyw546qy+mBSXh8sOg+W/Ogc2PoUdT5cT7EQKYb333+fkJAQXFxcWLNmDXPnzi3wm0gRuTs7F+6ksndl3Ku6c+q7U3wx8gv8X/LXPyhEHjAaW0XuD42rIrZDeRV58Okc+MGhyXWRYti5cycTJkzg4sWL1K5dmylTphAWFlba3RJ5IF08e5E1MWu4ePYibh5u+Hfyp8M/O5R2t0SkhGlsFbk/NK6K2A7lVeTBp3PgB4cm10WKYfHixaXdBZGHRpv+bWjTv01pd0NE7jGNrSL3h8ZVEduhvIo8+HQO/OC4Zw80FRERERERERERERF5UGlyXURERERERERERESkmDS5LiIiIiIiIiIiIiJSTMW653pCQgJpaWn3qi9WLTExEXi4t4GILcjJaupXqZz5/kwp90ZECnJkxxFA46qItdO4KmIbcsZVZVXE+uk8WMQ2HD16tEjlTIZhGIUV2r59Oy1atCArK+uuO2bL7OzsyM7OLu1uiEghTHYmjOxCD20iUso0rorYBmVVxDYoqyK2Q3kVsQ329vZs3bqV5s2bF1imSL9cd3JyIisri/j4eHx8fEqsg7YkISGB4cOHP9TbQMQW5GS154yeeJg9Srs7IlKA1K9SWTNmjcZVESunc2AR26CsitgO5VXENqSlpdGzZ0+cnJxuW65Yt4Xx8fGhcePGd9UxW5Vzqc7DvA1EbEFOVj3MHnj5eZVyb0SkIDmXrGtcFbFuOgcWsQ3KqojtUF5FHix6oKmIiIiIiIiIiIiISDFpcl1EREREREREREREpJg0uS4iIiIiIiIiIiIiUkyaXBcRERERERERERERKSZNrosUYNOmTZhMJs6dO1faXbGqvojcKwMqDmDf6n2l3Q3Auvoi8iCxpvHMmvoiYm2sKR/W1BcRa2NN+bCmvohYG2vKhzX15UFRIpPrffr0wWQyMW7cuFzLV6xYgclkKokm7qnw8HBMJhOTJ08u7a7YtJLcD7y9vYv1/yMmJgZ7e3smTpxYrHZu5+mnnyY9PR13d/cSq1PkQXF051EiKkfwSfdPSqzO6LRofIN9S6w+kQeBxlYR26CsitgGZVXENiirYktK7Jfrzs7OjB8/noyMjJKqEoBr166VaH1/tHz5cr755huqVat2T9t5WNyr/aAws2bNYsiQIcyaNavE6ixTpgyenp428QWRyP22I34HLfq24PD2w5xPP18idbp5uOHg5FAidYk8SDS2itgGZVXENiirIrZBWRVbUWKT68HBwXh6ehITE1NgmZEjR+Lv759r2eTJk/H29ra87tOnDy+99BJjxoyhWrVq1KtXD4Bp06ZRt25dnJ2d8fDwoGvXrpb3ZGdnExMTQ61atShbtix+fn4sWbKk0D6fOnWKfv36MX/+fBwdHYv3gSVfRdkPAJYuXUqDBg1wcnLC29ubSZMmWda1atWK48ePExERgclkKvTgs3nzZi5fvkx0dDQXLlxg27ZtudZ/++23tG7dGldXV9zc3GjSpAlJSUkAHD9+nI4dO1KhQgVcXFxo0KABCQkJQP6XysycORMvLy8eeeQROnfuTGxsLOXLl7esz9nHP/30U7y9vXF3d6dHjx5cvHjRUqYo+2tCQgJms5myZcvSunVrjh07dtttIHI/Xb10lT0r9hD4eiC+Ib7sXLDTsi7zXCafvvEp79Z9l8hqkYxuOpod83cAcOPaDZYMWcIInxEMrjqY9554j3X/Wmd57x9vxXJ0x1EmBE1gcNXBTHp2EvtW72NAxQGcTDkJwKGvDzGg4gC+3/w9k56dRORjkUxuO5kzh87k6m9KQgrvt3qfwVUHM6rRKNaOX0vWjSzL+p8O/8SUDlMYXHUwMU/FcHDjwXuy3UTulMZWja1iG5RVZVVsg7KqrIptUFaVVVtRYpPr9vb2jB07lqlTp3Ly5Mm7qmv9+vUcPHiQdevWsWrVKpKSkujfvz/R0dEcPHiQtWvXEhQUZCkfExPDvHnzmD59Ovv37yciIoKePXuyefPmAtvIzs6mV69eREZG0qBBg7vqr9xSlP0gOTmZbt260aNHD1JSUhg5ciTDhw9nzpw5ACxbtozq1asTHR1Neno66enpt20zLi6O0NBQHB0dCQ0NJS4uLtf6V155herVq7Nr1y6Sk5MZOnSo5cuUt956i6tXr7JlyxZSUlIYP3485cqVy7edxMREwsPDefvtt9m7dy8hISGMGTMmT7nDhw+zYsUKVq1axapVq9i8eXOuS5kK219//PFHXn75ZTp27MjevXsJCwtj6NCht90GIvfTnhV7eLTuo3jU9aBpt6bsmL8DwzAASBibwOmDp3lz8ZsM/WYof37/z7hUcgFgy4wtfLfmO3rP6s0/dv6DXp/0omKNivm2ceXCFWb+ZSbVfKsxeONg2g9rzxfvfZFv2dWjV9NpVCcGrR+EnYMdC/sttKw7vP0w8/82n6A3gxi6fSjdYruxc8FO1k26OamfnZ3NrFdn4VDGgYh1EXSL7VZgOyKlRWOrxlaxDcqqsiq2QVlVVsU2KKvKqq0o0evvO3fujL+/P1FRUXl2wOJwcXHh3//+N2XKlAFuhsHFxYUXXngBV1dXatasSaNGjQC4evUqY8eO5auvvqJ58+YA1K5dm6+//poZM2bQsmXLfNsYP348Dg4O9O/f/477KfkrbD+IjY2lTZs2DB8+HACz2UxqaioTJ06kT58+VKxYEXt7e1xdXfH09LxtWxcuXGDJkiVs374dgJ49e9KiRQs++OADy0HsxIkTREZGUr9+fQDq1q1ref+JEyfo0qULDRs2BG7uOwWZOnUq7du3Z/DgwZZ+b9u2jVWrVuUql52dzZw5c3B1dQWgV69erF+/njFjxhRpf/3444+pU6eO5dvWevXqWQ7MItZgR/wOmv65KQD129Tn8oXL/JD4A3WfqUvGyQwea/gYNRrVAKBSjUqW92WcyqBKnSrUfqo2JpOJil75T6wDJC9NxmQy0X1ydxydHfGs78n59PMsGrAoT9kO/+zA44GPAxA8IJhPun/C9SvXcXR25MsJX9JmQBsCQgMAqOxdmef/8TwrR66k3Tvt+H7T95w5dIbwJeG4V3W31Dej24yS2VgiJURjq8ZWsQ3KqrIqtkFZVVbFNiiryqotKLFfrucYP348c+fOJS0t7Y7raNiwoWViHSAkJISaNWtSu3ZtevXqxfz588nMzATghx9+IDMzk5CQEMqVK2f5mzdvHocPH863/uTkZD744APmzJmj+x3dI7fbD9LS0ggMDMy1LDAwkEOHDpGVlZWn/O0sWLCAOnXq4OfnB4C/vz81a9Zk0aJbE3ADBw4kLCyM4OBgxo0bl2u/6N+/P6NHjyYwMJCoqCj27duXp40cBw8eJCAgINeyP76Gmw/LyDnwAVStWpWzZ88CRdtf09LSePLJJ3PVmXOgFCltZw6d4fju4zTu0hgAewd7GnVuxI74m7d+CXwtkD3L9zAhaAIro1ZydMdRy3sDQgM4lXKKsQFjWTp0KQc2HCiwnbOHzlKtQTUcnW/dsqtmk5r5lq3W4NYzM9w83AC49PMlAE59d4r/TvwvQ7yGWP4WDVjEhdMXuJZ5jTPfn6HCYxUsE+sA3gHexdwqIveHxlaNrWIblFVlVWyDsqqsim1QVpVVa1fik+tBQUG0bduWYcOG5W3Mzs5y64Ac169fz1POxcUl12tXV1d2797NggULqFq1KiNGjMDPz49z585x6dLNCZTVq1ezd+9ey19qamqB913funUrZ8+epUaNGjg4OODg4MDx48cZNGhQrvu/y5273X5QkuLi4ti/f7/l/6ODgwOpqam5HjwxcuRI9u/fT4cOHdiwYQO+vr4sX74cgLCwMI4cOUKvXr1ISUmhadOmTJ069a769Mf795tMJrKzswHuaH8VsSY74neQfSObKN8oBlYZyMAqA0mclci3X3zL5QuX8Q3xJerbKFr9rRXnT59nWudp/Gf4fwDw8vNixJ4RtB/WnuuXrzPn9TnM7j37rvtk5/i7oez/vi/Nydy1367Rbmg7IjdHWv6GfD2Ed5PexcFZD08V26Kx9RaNrWLNlNVblFWxZsrqLcqqWDNl9RZl1Trdk5mFcePG4e/vb3kYaY4qVapw+vRpDMOw/GJ87969RarTwcGB4OBggoODiYqKonz58mzYsIGQkBCcnJw4ceJEgbeA+aNevXoRHByca1nbtm3p1asXr732WpHqkMIVtB/4+PiQmJiYa1liYiJmsxl7e3vg5pOUC/uWMSUlhaSkJDZt2kTFirduL/Hrr7/SqlUrDhw4YLlUx2w2YzabiYiIIDQ0lNmzZ9O5c2cAvLy8CA8PJzw8nGHDhjFz5kz69euXp7169eqxa9euXMv++Lowvr6+he6vPj4+rFy5Mteyb775pljtiNwLWTey2LVoF51GdaJ+6/q51sX1imP30t0EvhZIucrlCAgNICA0gMTmiawcsZJOozoB4OzmTOOXG9P45cb4vejHjD/P4LeM33CpkPtL1UfrPkrS50ncuHoDB6ebQ9WJ3SeK3efqT1Tn7KGzVKldJd/1HmYPMk5lcP70edw9b/56/diuY8VuR+R+0dial8ZWsUbKal7KqlgjZTUvZVWskbKal7JqPe7J5HrDhg155ZVXmDJlSq7lrVq14qeffmLChAl07dqVtWvXsmbNGtzc3G5b36pVqzhy5AhBQUFUqFCBhIQEsrOzqVevHq6urgwePJiIiAiys7N55plnOH/+PImJibi5udG7d+889VWqVIlKlSrlWubo6Iinp2eeoMqdK2g/GDRoEM2aNWPUqFF0796d7du38+GHHzJt2jRLGW9vb7Zs2UKPHj1wcnKicuXKeeqPi4sjICAg18NtczRr1oy4uDiio6OJjIyka9eu1KpVi5MnT7Jr1y66dOkCwIABA2jfvj1ms5mMjAw2btyIj49Pvp+nX79+BAUFERsbS8eOHdmwYQNr1qwp1q2FirK/hoeHM2nSJCIjIwkLCyM5OdnyMA6R0rT/y/1knsvkqV5PUdatbK51T3R8gm/iv+F8+nm8/L3wrO/Jjas3SP0yFQ+zBwAbP9qIm6cb1RtWx2Rn4tv/fIubhxtl3cvmaatJlyasHr2aRRGLaPN2GzJOZrDhww0Axcrcc5HPMTN0JhWqV8DvRT9Mdib+993/SD+QTod3O2BuZebROo/y2d8/48XoF7ly8QoJYxLuYiuJ3FsaW/PS2CrWSFnNS1kVa6Ss5qWsijVSVvNSVq1Hid8WJkd0dLTlUoUcPj4+TJs2jY8++gg/Pz927txpuXn/7ZQvX55ly5bx7LPP4uPjw/Tp01mwYAENGjQAYNSoUQwfPpyYmBh8fHxo164dq1evplatWvfks0nR5bcfNG7cmMWLF7Nw4UL+9Kc/MWLECKKjo+nTp0+u9x07dow6depQpUreX5xeu3aN+Ph4y0Hsj7p06cK8efOws7Pjl19+4dVXX8VsNtOtWzfat2/Pe++9B0BWVhZvvfWWZb8xm825DsK/FxgYyPTp04mNjcXPz4+1a9cSERGBs7NzsbZJYftrjRo1WLp0KStWrMDPz4/p06czduzYYrUhci/siN9BvZb18kysA/h19OPHPT9i52DHquhVTGgxgakvTMVkb6J33M0vOZ3LObNhygYmtZlEbJtYfv3xV95Y9AZ2dnmHImc3Z/p+1pdTKaeY2HIiCWMSaDukLYDll+xF4dPGh74L+nJw40Fig2OZ/NxkNn28iYrVb/4awc7Ojtc/fZ3rV64TGxzLwrcX8vy7z9/J5hG5bzS25qWxVayRspqXsirWSFnNS1kVa6Ss5qWsWgeT8ceboOdj9+7dNGnShOTkZBo3bnw/+mV15s+fT8+ePR/qbSB59e3blwMHDrB169bS7or8n5ysDto4CC8/r9LujpSgpM+TWPD/FhBzLIYyZcsU/gaxakmfJxH/ZrzGVclDY6t10TmwFERZtS7KqhREWbU+yqvkR1m1PkWdD9fT3ESK4f333yckJAQXFxfWrFnD3LlzC/wmUkTuzs6FO6nsXRn3qu6c+u4UX4z8Av+X/DWxLvKA0dgqYhuUVRHboKyK2AZl9cGhyXWRYti5cycTJkzg4sWL1K5dmylTphAWFlba3RJ5IF08e5E1MWu4ePYibh5u+Hfyp8M/O5R2t0SkhGlsFbENyqqIbVBWRWyDsvrg0OS6SDEsXry4tLsg8tBo078Nbfq3Ke1uiMg9prFVxDYoqyK2QVkVsQ3K6oPjnj3QVERERERERERERETkQaXJdRERERERERERERGRYtLkuoiIiIiIiIiIiIhIMRXrnusJCQmkpaXdq75YtcTERODh3gYitiAnq6lfpXLm+zOl3BsRKciRHUcAjasi1k7nwCK2QVkVsR3Kq4htOHr0aJHKmQzDMAortH37dlq0aEFWVtZdd8yW2dnZkZ2dXdrdEJFCKKsitkFZFbENyqqIbVBWRWyH8ipiG+zt7dm6dSvNmzcvsEyRfrnu5OREVlYW8fHx+Pj4lFgHbUlCQgLDhw9/qLeBiC1QVkVsg7IqYhuUVRHboKyK2A7lVcQ2pKWl0bNnT5ycnG5brli3hfHx8aFx48Z31TFblXOpzsO8DURsgbIqYhuUVRHboKyK2AZlVcR2KK8iDxY90FREREREREREREREpJg0uS4iIiIiIiIiIiIiUkyaXBcRERERERERERERKSZNrosUYNOmTZhMJs6dO1faXbGqvohYI2vKiDX1RcTaWFM+rKkvItbGmvJhTX0RsTbWlA9r6ouItbGmfFhTXx4UJTK53qdPH0wmE+PGjcu1fMWKFZhMppJoosTl9Pn3f+3atSvtbtm0ktwPvL29mTx5cpHLx8TEYG9vz8SJE4vVzu08/fTTpKen4+7uXmJ1ilgL5VXENiirIrZBWRWxDcqqiG1QVsWWlNgv152dnRk/fjwZGRklVSUA165dK9H6fq9du3akp6db/hYsWHDP2npY3Kv9oDCzZs1iyJAhzJo1q8TqLFOmDJ6enlb7BZHI3VJeRWyDsipiG5RVEdugrIrYBmVVbEWJTa4HBwfj6elJTExMgWVGjhyJv79/rmWTJ0/G29vb8rpPnz689NJLjBkzhmrVqlGvXj0Apk2bRt26dXF2dsbDw4OuXbta3pOdnU1MTAy1atWibNmy+Pn5sWTJkkL77OTkhKenp+WvQoUKxfvQkkdR9gOApUuX0qBBA5ycnPD29mbSpEmWda1ateL48eNERERYriq4nc2bN3P58mWio6O5cOEC27Zty7X+22+/pXXr1ri6uuLm5kaTJk1ISkoC4Pjx43Ts2JEKFSrg4uJCgwYNSEhIAPK/VGbmzJl4eXnxyCOP0LlzZ2JjYylfvrxlfc4+/umnn+Lt7Y27uzs9evTg4sWLljJF2V8TEhIwm82ULVuW1q1bc+zYsdtuA5E7obwqr2IblFVlVWyDsqqsim1QVpVVsQ3KqrJqM4wiSE5ONgAjOTk53/W9e/c2OnXqZCxbtsxwdnY2fvzxR8MwDGP58uXG75uIiooy/Pz8cr33X//6l1GzZs1cdZUrV87o1auX8d133xnfffedsWvXLsPe3t747LPPjGPHjhm7d+82PvjgA8t7Ro8ebdSvX99Yu3atcfjwYWP27NmGk5OTsWnTpgI/U+/evQ13d3ejSpUqhtlsNsLDw42ff/65wPLx8fG33QZS9P0gKSnJsLOzM6Kjo42DBw8as2fPNsqWLWvMnj3bMAzD+OWXX4zq1asb0dHRRnp6upGenn7bdnv16mUMHjzYMAzDGDRokPH666/nWt+gQQOjZ8+eRlpamvH9998bixcvNvbu3WsYhmF06NDBCAkJMfbt22ccPnzY+OKLL4zNmzcbhmEYGzduNAAjIyPDMAzD+Prrrw07Oztj4sSJxsGDB42PPvrIqFixouHu7m5pKyoqyihXrpzx8ssvGykpKcaWLVsMT09P4x//+IelTGH764kTJwwnJydj4MCBxoEDB4z4+HjDw8MjV1+kYMpq0SivymtpU1aLRllVVkubslo0yqqyWtqU1aJRVpVVa6C8Fk5ZVVatQWHz4TlKdHLdMAzjqaeesux8dzq57uHhYVy9etWybOnSpYabm5tx4cKFPG1fuXLFeOSRR4xt27blWv7Xv/7VCA0NLfAzLViwwPjPf/5j7Nu3z1i+fLnh4+NjNGvWzLhx40a+5XXwK1xR94O//OUvRkhISK73RkZGGr6+vpbXNWvWNP71r38V2ub58+eNsmXLWg5me/bsMcqVK2dcvHjRUsbV1dWYM2dOvu9v2LChMXLkyHzX/fHg1717d6NDhw65yrzyyit5Dn6PPPJIrn01MjLSePLJJw3DKNr+OmzYsFzbwjAM45133tHBr4iU1aJRXpXX0qasFo2yqqyWNmW1aJRVZbW0KatFo6wqq9ZAeS2csqqsWoOiTq6X2G1hcowfP565c+eSlpZ2x3U0bNiQMmXKWF6HhIRQs2ZNateuTa9evZg/fz6ZmZkA/PDDD2RmZhISEkK5cuUsf/PmzePw4cMFttGjRw9efPFFGjZsyEsvvcSqVavYtWsXmzZtuuN+yy232w/S0tIIDAzMtSwwMJBDhw6RlZVVrHYWLFhAnTp18PPzA8Df35+aNWuyaNEiS5mBAwcSFhZGcHAw48aNy7Vf9O/fn9GjRxMYGEhUVBT79u0rsK2DBw8SEBCQa9kfX8PNh2W4urpaXletWpWzZ88CRdtf09LSePLJJ3PV2bx586JuEpFiU16VV7ENyqqyKrZBWVVWxTYoq8qq2AZlVVm1diU+uR4UFETbtm0ZNmxY3sbs7DAMI9ey69ev5ynn4uKS67Wrqyu7d+9mwYIFVK1alREjRuDn58e5c+e4dOkSAKtXr2bv3r2Wv9TU1CLddz1H7dq1qVy5Mj/88EOR3yMFu91+UJLi4uLYv38/Dg4Olr/U1NRcD54YOXIk+/fvp0OHDmzYsAFfX1+WL18OQFhYGEeOHKFXr16kpKTQtGlTpk6deld9cnR0zPXaZDKRnZ0NUGL7q0hJUl5vUV7FmimrtyirYs2U1VuUVbFmyuotyqpYM2X1FmXVOjnci0rHjRuHv7+/5WGkOapUqcLp06cxDMPyEIG9e/cWqU4HBweCg4MJDg4mKiqK8uXLs2HDBkJCQnBycuLEiRO0bNnyjvt88uRJfvnlF6pWrXrHdUhuBe0HPj4+JCYm5lqWmJiI2WzG3t4euPkk5cK+ZUxJSSEpKYlNmzZRsWJFy/Jff/2VVq1aceDAAerXrw+A2WzGbDYTERFBaGgos2fPpnPnzgB4eXkRHh5OeHg4w4YNY+bMmfTr1y9Pe/Xq1WPXrl25lv3xdWF8fX0L3V99fHxYuXJlrmXffPNNsdoRKS7lNS/lVayRspqXsirWSFnNS1kVa6Ss5qWsijVSVvNSVq3HPZlcb9iwIa+88gpTpkzJtbxVq1b89NNPTJgwga5du7J27VrWrFmDm5vbbetbtWoVR44cISgoiAoVKpCQkEB2djb16tXD1dWVwYMHExERQXZ2Ns888wznz58nMTERNzc3evfunae+S5cu8d5779GlSxc8PT05fPgwQ4YM4fHHH6dt27Ylui0eZgXtB4MGDaJZs2aMGjWK7t27s337dj788EOmTZtmKePt7c2WLVvo0aMHTk5OVK5cOU/9cXFxBAQEEBQUlGdds2bNiIuLIzo6msjISLp27UqtWrU4efIku3btokuXLgAMGDCA9u3bYzabycjIYOPGjfj4+OT7efr160dQUBCxsbF07NiRDRs2sGbNmkKfNv17Rdlfw8PDmTRpEpGRkYSFhZGcnMycOXOK3IbInVBe81JexRopq3kpq2KNlNW8lFWxRspqXsqqWCNlNS9l1YqUxA3cf/+ggRxHjx41ypQpY/yxiY8//tjw8vIyXFxcjFdffdUYM2ZMngea/rGurVu3Gi1btjQqVKhglC1b1njiiSeMRYsWWdZnZ2cbkydPNurVq2c4OjoaVapUMdq2bWt5Ku8fZWZmGs8995xRpUoVw9HR0ahZs6bRt29f4/Tp0wVuAz1wonDF2Q+WLFli+Pr6Go6OjkaNGjWMiRMn5lq/fft244knnjCcnJzyvNcwDOPq1atGpUqVjAkTJuTbl/HjxxuPPvqoceXKFaNHjx6Gl5eXUaZMGaNatWrG//t//8+4fPmyYRiG8f/+3/8z6tSpYzg5ORlVqlQxevXqZfz888+GYeR94IRhGMYnn3xiPPbYY0bZsmWNl156yRg9erTh6elpWV+Uh/YWZX/94osvjMcff9xwcnIyWrRoYcyaNUsPnCgiZbVolFfltbQpq0WjrCqrpU1ZLRplVVktbcpq0Siryqo1UF4Lp6wqq9agqA80NRnGH26Cno/du3fTpEkTkpOTady4cQlM6due+fPn07Nnz4d6G0heffv25cCBA2zdurW0uyL/R1mVgiiv1kVZlYIoq9ZFWZWCKKvWRVmVgiir1kd5lfwoq9anqPPh9+S2MCIPqvfff5+QkBBcXFxYs2YNc+fOzXW5kYhYD+VVxDYoqyK2QVkVsQ3KqohtUFYfHJpcFymGnTt3MmHCBC5evEjt2rWZMmUKYWFhpd0tEcmH8ipiG5RVEdugrIrYBmVVxDYoqw8OTa6LFMPixYtLuwsiUkTKq4htUFZFbIOyKmIblFUR26CsPjjsSrsDIiIiIiIiIiIiIiK2RpPrIiIiIiIiIiIiIiLFpMl1EREREREREREREZFiKtY91xMSEkhLS7tXfbFqiYmJwMO9DURsgbIqYhuUVRHboKyK2AZlVcR2KK8ituHo0aNFKmcyDMMorND27dtp0aIFWVlZd90xW2ayM2FkF7q5RKSU2dnZkZ2dXdrdEJFCKKsitkFZFbENyqqI7VBeRWyDvb09W7dupXnz5gWWKdIv152cnMjKyiI+Ph4fH58S66AtSUhIYPjw4fSc0RMPs0dpd0dECpD6VSprxqx5qI9XIrYgZ1xVVkWsm7IqYhuUVRHbobyK2Ia0tDR69uyJk5PTbcsV67YwPj4+NG7c+K46ZqtyLtXxMHvg5edVyr0RkYKc+f4M8HAfr0RsQc64qqyKWDdlVcQ2KKsitkN5FXmw6IGmIiIiIiIiIiIiIiLFpMl1EREREREREREREZFi0uS6iIiIiIiIiIiIiEgxaXJdHngDKg5g3+p9pd0NwLr6IvIg2bRpEyaTiXPnzpV2V6yqLyLWxpryYU19EbE21pQPa+qLiLWxpnxYU19ErI015cOa+vKgKJHJ9T59+mAymRg3blyu5StWrMBkMpVEE/dEWloaL774Iu7u7ri4uNCsWTNOnDhR2t16qB3deZSIyhF80v2TEqszOi0a32DfEqtP5EFQksdtb29vJk+eXOTyMTEx2NvbM3HixGK1cztPP/006enpuLu7l1idItZAWRWxDcqqiG1QVkVsg7IqtqTEfrnu7OzM+PHjycjIKKkqAbh27VqJ1pfj8OHDPPPMM9SvX59Nmzaxb98+hg8fjrOz8z1pT4pmR/wOWvRtweHthzmffr5E6nTzcMPByaFE6hJ5kNyr43ZhZs2axZAhQ5g1a1aJ1VmmTBk8PT2t+gtdkTulrIrYBmVVxDYoqyK2QVkVW1Fik+vBwcF4enoSExNTYJmRI0fi7++fa9nkyZPx9va2vO7Tpw8vvfQSY8aMoVq1atSrVw+AadOmUbduXZydnfHw8KBr166W92RnZxMTE0OtWrUoW7Ysfn5+LFmy5Lb9fffdd3n++eeZMGECjRo1ok6dOrz44os8+uijxf/wUiKuXrrKnhV7CHw9EN8QX3Yu2GlZl3kuk0/f+JR3675LZLVIRjcdzY75OwC4ce0GS4YsYYTPCAZXHcx7T7zHun+ts7z3j7diObrjKBOCJjC46mAmPTuJfav3MaDiAE6mnATg0NeHGFBxAN9v/p5Jz04i8rFIJredzJlDZ3L1NyUhhfdbvc/gqoMZ1WgUa8evJetGlmX9T4d/YkqHKQyuOpiYp2I4uPHgPdluIneqKMdtgKVLl9KgQQOcnJzw9vZm0qRJlnWtWrXi+PHjREREYDKZCj1Z2Lx5M5cvXyY6OpoLFy6wbdu2XOu//fZbWrdujaurK25ubjRp0oSkpCQAjh8/TseOHalQoQIuLi40aNCAhIQEIP9L22bOnImXlxePPPIInTt3JjY2lvLly1vW54xJn376Kd7e3ri7u9OjRw8uXrxoKVOU8SUhIQGz2UzZsmVp3bo1x44du+02ECkuZVVZFdugrCqrYhuUVWVVbIOyqqzaihKbXLe3t2fs2LFMnTqVkydP3lVd69ev5+DBg6xbt45Vq1aRlJRE//79iY6O5uDBg6xdu5agoCBL+ZiYGObNm8f06dPZv38/ERER9OzZk82bN+dbf3Z2NqtXr8ZsNtO2bVseffRRnnzySVasWHFX/Za7s2fFHh6t+ygedT1o2q0pO+bvwDAMABLGJnD64GneXPwmQ78Zyp/f/zMulVwA2DJjC9+t+Y7es3rzj53/oNcnvahYo2K+bVy5cIWZf5lJNd9qDN44mPbD2vPFe1/kW3b16NV0GtWJQesHYedgx8J+Cy3rDm8/zPy/zSfozSCGbh9Kt9hu7Fywk3WTbk7qZ2dnM+vVWTiUcSBiXQTdYrsV2I5IaSnKcTs5OZlu3brRo0cPUlJSGDlyJMOHD2fOnDkALFu2jOrVqxMdHU16ejrp6em3bTMuLo7Q0FAcHR0JDQ0lLi4u1/pXXnmF6tWrs2vXLpKTkxk6dCiOjo4AvPXWW1y9epUtW7aQkpLC+PHjKVeuXL7tJCYmEh4ezttvv83evXsJCQlhzJgxecodPnyYFStWsGrVKlatWsXmzZtzXXpY2Pjy448/8vLLL9OxY0f27t1LWFgYQ4cOve02ECkuZVVZFdugrCqrYhuUVWVVbIOyqqzaihK9V0bnzp3x9/cnKioqzw5YHC4uLvz73/+mTJkywM0wuLi48MILL+Dq6krNmjVp1KgRAFevXmXs2LF89dVXNG/eHIDatWvz9ddfM2PGDFq2bJmn/rNnz3Lp0iXGjRvH6NGjGT9+PGvXruXll19m48aN+b5H7r0d8Tto+uemANRvU5/LFy7zQ+IP1H2mLhknM3is4WPUaFQDgEo1Klnel3Eqgyp1qlD7qdqYTCYqeuU/sQ6QvDQZk8lE98ndcXR2xLO+J+fTz7NowKI8ZTv8swOPBz4OQPCAYD7p/gnXr1zH0dmRLyd8SZsBbQgIDQCgsndlnv/H86wcuZJ277Tj+03fc+bQGcKXhONe1d1S34xuM0pmY4mUkMKO27GxsbRp04bhw4cDYDabSU1NZeLEifTp04eKFStib2+Pq6srnp6et23rwoULLFmyhO3btwPQs2dPWrRowQcffGA56Thx4gSRkZHUr18fgLp161ref+LECbp06ULDhg2Bm8f6gkydOpX27dszePBgS7+3bdvGqlWrcpXLzs5mzpw5uLq6AtCrVy/Wr1/PmDFjijS+fPzxx9SpU8fy64h69epZTqRESpKyqqyKbVBWlVWxDcqqsiq2QVlVVm1Bif1yPcf48eOZO3cuaWlpd1xHw4YNLRPrACEhIdSsWZPatWvTq1cv5s+fT2ZmJgA//PADmZmZhISEUK5cOcvfvHnzOHz4cL71Z2dnA9CpUyciIiLw9/dn6NChvPDCC0yfPv2O+y137syhMxzffZzGXRoDYO9gT6POjdgRf/PWL4GvBbJn+R4mBE1gZdRKju44anlvQGgAp1JOMTZgLEuHLuXAhgMFtnP20FmqNaiGo7OjZVnNJjXzLVutQTXLf7t5uAFw6edLAJz67hT/nfhfhngNsfwtGrCIC6cvcC3zGme+P0OFxypYJtYBvAO8i7lVRO6P2x2309LSCAwMzLUsMDCQQ4cOkZWVlaf87SxYsIA6derg5+cHgL+/PzVr1mTRoltfbg0cOJCwsDCCg4MZN25cruN4//79GT16NIGBgURFRbFv3748beQ4ePAgAQEBuZb98TXcfLhNzokKQNWqVTl79ixQtPElLS2NJ598MledOSc2IiVNWVVWxTYoq8qq2AZlVVkV26CsKqvWrsQn14OCgmjbti3Dhg3L25idneU2HzmuX7+ep5yLi0uu166uruzevZsFCxZQtWpVRowYgZ+fH+fOnePSpZuTnatXr2bv3r2Wv9TU1ALvu165cmUcHBzw9fXNtdzHx4cTJ04U6/NKydgRv4PsG9lE+UYxsMpABlYZSOKsRL794lsuX7iMb4gvUd9G0epvrTh/+jzTOk/jP8P/A4CXnxcj9oyg/bD2XL98nTmvz2F279l33Sc7x9/F4/9uy5Xzxcy1367Rbmg7IjdHWv6GfD2Ed5PexcFZD08V23K743ZJiouLY//+/Tg4OFj+UlNTcz0oZuTIkezfv58OHTqwYcMGfH19Wb58OQBhYWEcOXKEXr16kZKSQtOmTZk6depd9SnnEr4cJpPJkvM7GV9E7iVl9RZlVayZsnqLsirWTFm9RVkVa6as3qKsWqd7Mgs4btw4/P39LQ8jzVGlShVOnz6NYRiWhwjs3bu3SHU6ODgQHBxMcHAwUVFRlC9fng0bNhASEoKTkxMnTpwo8u1cypQpQ7NmzTh4MPcDJr///ntq1sz/V8xy72TdyGLXol10GtWJ+q3r51oX1yuO3Ut3E/haIOUqlyMgNICA0AASmyeycsRKOo3qBICzmzONX25M45cb4/eiHzP+PIPfMn7DpULuL2oerfsoSZ8ncePqDRycbu7+J3YX/wuV6k9U5+yhs1SpXSXf9R5mDzJOZXD+9HncPW/+ev3YrmPFbkfkfinouO3j40NiYmKuZYmJiZjNZuzt7YGbx9TCfhWQkpJCUlISmzZtomLFW7du+vXXX2nVqhUHDhywXFpnNpsxm81EREQQGhrK7Nmz6dy5MwBeXl6Eh4cTHh7OsGHDmDlzJv369cvTXr169di1a1euZX98XRhfX99CxxcfHx9WrlyZa9k333xTrHZEikNZzUtZFWukrOalrIo1UlbzUlbFGimreSmr1uOeTK43bNiQV155hSlTpuRa3qpVK3766ScmTJhA165dWbt2LWvWrMHNze229a1atYojR44QFBREhQoVSEhIIDs7m3r16uHq6srgwYOJiIggOzubZ555hvPnz5OYmIibmxu9e/fOt87IyEi6d+9OUFAQrVu3Zu3atXzxxRds2rSppDaDFNH+L/eTeS6Tp3o9RVm3srnWPdHxCb6J/4bz6efx8vfCs74nN67eIPXLVDzMHgBs/Ggjbp5uVG9YHZOdiW//8y1uHm6UdS+bp60mXZqwevRqFkUsos3bbcg4mcGGDzcAFPrU6N97LvI5ZobOpEL1Cvi96IfJzsT/vvsf6QfS6fBuB8ytzDxa51E++/tnvBj9IlcuXiFhTMJdbCWRe6ug4/agQYNo1qwZo0aNonv37mzfvp0PP/yQadOmWcp4e3uzZcsWevTogZOTE5UrV85Tf1xcHAEBAbkeRp2jWbNmxMXFER0dTWRkJF27dqVWrVqcPHmSXbt20aVLFwAGDBhA+/btMZvNZGRksHHjRnx8fPL9PP369SMoKIjY2Fg6duzIhg0bWLNmTbFyXpTxJTw8nEmTJhEZGUlYWBjJycmWh+eI3AvKal7KqlgjZTUvZVWskbKal7Iq1khZzUtZtR4lfluYHNHR0ZZLFXL4+Pgwbdo0PvroI/z8/Ni5c6fl5v23U758eZYtW8azzz6Lj48P06dPZ8GCBTRo0ACAUaNGMXz4cGJiYvDx8aFdu3asXr2aWrVqFVhn586dmT59OhMmTKBhw4b8+9//ZunSpTzzzDN398Gl2HbE76Bey3p5JtYB/Dr68eOeH7FzsGNV9ComtJjA1BemYrI30Tvu5hcnzuWc2TBlA5PaTCK2TSy//vgrbyx6Azu7vLu3s5szfT/ry6mUU0xsOZGEMQm0HdIWwPJL9qLwaeND3wV9ObjxILHBsUx+bjKbPt5Exeo3v+G0s7Pj9U9f5/qV68QGx7Lw7YU8/+7zd7J5RO6b/I7bjRs3ZvHixSxcuJA//elPjBgxgujoaPr06ZPrfceOHaNOnTpUqZL3ao5r164RHx9vOen4oy5dujBv3jzs7Oz45ZdfePXVVzGbzXTr1o327dvz3nvvAZCVlcVbb71lOc6bzeZcJ02/FxgYyPTp04mNjcXPz4+1a9cSERGBs7NzsbZJYeNLjRo1WLp0KStWrMDPz4/p06czduzYYrUhUlzKal7KqlgjZTUvZVWskbKal7Iq1khZzUtZtQ4m4483Qc/H7t27adKkCcnJyTRu3Ph+9MvqzJ8/n549ezJo4yC8/LxKuztSgpI+T2LB/1tAzLEYypQtU/gbxKolfZ5E/JvxD/XxSvLXt29fDhw4wNatW0u7K8KtcVVZlT9SVq2LsioFUVati7IqBVFWrY/yKvlRVq1PUefD9eRFeejsXLiTyt6Vca/qzqnvTvHFyC/wf8lfE+siD5j333+fkJAQXFxcWLNmDXPnzi3wlwMiUnqUVRHboKyK2AZlVcQ2KKsPDk2uy0Pn4tmLrIlZw8WzF3HzcMO/kz8d/tmhtLslIiVs586dTJgwgYsXL1K7dm2mTJlCWFhYaXdLRP5AWRWxDcqqiG1QVkVsg7L64NDkujx02vRvQ5v+bUq7GyJyjy1evLi0uyAiRaCsitgGZVXENiirIrZBWX1w3LMHmoqIiIiIiIiIiIiIPKg0uS4iIiIiIiIiIiIiUkyaXBcRERERERERERERKSZNrouIiIiIiIiIiIiIFFOxHmiakJBAWlraveqLVUtMTAQg9atUznx/ppR7IyIFObLjCPBwH69EbEHOuKqsilg3ZVXENiirIrZDeRWxDUePHi1SOZNhGEZhhbZv306LFi3Iysq6647ZMpOdCSO70M0lIqXMzs6O7Ozs0u6GiBRCWRWxDcqqiG1QVkVsh/IqYhvs7e3ZunUrzZs3L7BMkX657uTkRFZWFvHx8fj4+JRYB21JQkICw4cPp+eMnniYPUq7OyJSgNSvUlkzZs1DfbwSsQU546qyKmLdlFUR26CsitgO5VXENqSlpdGzZ0+cnJxuW65Yt4Xx8fGhcePGd9UxW5VzqY6H2QMvP69S7o2IFCTntk0P8/FKxBbkjKvKqoh1U1ZFbIOyKmI7lFeRB4seaCoiIiIiIiIiIiIiUkyaXBcRERERERERERERKSZNrouIiIiIiIiIiIiIFJMm1+WBN6DiAPat3lfa3QCsqy8iD5JNmzZhMpk4d+5caXfFqvoiYm2sKR/W1BcRa2NN+bCmvohYG2vKhzX1RcTaWFM+rKkvD4oSmVzv06cPJpOJcePG5Vq+YsUKTCZTSTRR4kwmU75/EydOLO2uPdSO7jxKROUIPun+SYnVGZ0WjW+wb4nVJ/IgKMnjtre3N5MnTy5y+ZiYGOzt7Uv0ePv000+Tnp6Ou7t7idUpYg2UVRHboKyK2AZlVcQ2KKtiS0rsl+vOzs6MHz+ejIyMkqoSgGvXrpVofTnS09Nz/c2aNQuTyUSXLl3uSXtSNDvid9CibwsObz/M+fTzJVKnm4cbDk4OJVKXyIPkXh23CzNr1iyGDBnCrFmzSqzOMmXK4OnpabVf6IrcDWVVxDYoqyK2QVkVsQ3KqtiKEptcDw4OxtPTk5iYmALLjBw5En9//1zLJk+ejLe3t+V1nz59eOmllxgzZgzVqlWjXr16AEybNo26devi7OyMh4cHXbt2tbwnOzubmJgYatWqRdmyZfHz82PJkiW37a+np2euv//85z+0bt2a2rVrF//DS4m4eukqe1bsIfD1QHxDfNm5YKdlXea5TD5941PerfsukdUiGd10NDvm7wDgxrUbLBmyhBE+IxhcdTDvPfEe6/61zvLeP96K5eiOo0wImsDgqoOZ9Owk9q3ex4CKAziZchKAQ18fYkDFAXy/+XsmPTuJyMcimdx2MmcOncnV35SEFN5v9T6Dqw5mVKNRrB2/lqwbWZb1Px3+iSkdpjC46mBinorh4MaD92S7idypohy3AZYuXUqDBg1wcnLC29ubSZMmWda1atWK48ePExERYbkC6HY2b97M5cuXiY6O5sKFC2zbti3X+m+//ZbWrVvj6uqKm5sbTZo0ISkpCYDjx4/TsWNHKlSogIuLCw0aNCAhIQHI/9K2mTNn4uXlxSOPPELnzp2JjY2lfPnylvU5Y9Knn36Kt7c37u7u9OjRg4sXL1rKFGV8SUhIwGw2U7ZsWVq3bs2xY8duuw1EiktZVVbFNiiryqrYBmVVWRXboKwqq7aixCbX7e3tGTt2LFOnTuXkyZN3Vdf69es5ePAg69atY9WqVSQlJdG/f3+io6M5ePAga9euJSgoyFI+JiaGefPmMX36dPbv309ERAQ9e/Zk8+bNRWrvzJkzrF69mr/+9a931W+5O3tW7OHRuo/iUdeDpt2asmP+DgzDACBhbAKnD57mzcVvMvSbofz5/T/jUskFgC0ztvDdmu/oPas3/9j5D3p90ouKNSrm28aVC1eY+ZeZVPOtxuCNg2k/rD1fvPdFvmVXj15Np1GdGLR+EHYOdizst9Cy7vD2w8z/23yC3gxi6PahdIvtxs4FO1k36eakfnZ2NrNenYVDGQci1kXQLbZbge2IlJaiHLeTk5Pp1q0bPXr0ICUlhZEjRzJ8+HDmzJkDwLJly6hevTrR0dGWK4FuJy4ujtDQUBwdHQkNDSUuLi7X+ldeeYXq1auza9cukpOTGTp0KI6OjgC89dZbXL16lS1btpCSksL48eMpV65cvu0kJiYSHh7O22+/zd69ewkJCWHMmDF5yh0+fJgVK1awatUqVq1axebNm3NdeljY+PLjjz/y8ssv07FjR/bu3UtYWBhDhw697TYQKS5lVVkV26CsKqtiG5RVZVVsg7KqrNqKEr1XRufOnfH39ycqKirPDlgcLi4u/Pvf/6ZMmTLAzTC4uLjwwgsv4OrqSs2aNWnUqBEAV69eZezYsXz11Vc0b94cgNq1a/P1118zY8YMWrZsWWh7c+fOxdXVlZdffvmO+yx3b0f8Dpr+uSkA9dvU5/KFy/yQ+AN1n6lLxskMHmv4GDUa1QCgUo1KlvdlnMqgSp0q1H6qNiaTiYpe+U+sAyQvTcZkMtF9cnccnR3xrO/J+fTzLBqwKE/ZDv/swOOBjwMQPCCYT7p/wvUr13F0duTLCV/SZkAbAkIDAKjsXZnn//E8K0eupN077fh+0/ecOXSG8CXhuFd1t9Q3o9uMktlYIiWksON2bGwsbdq0Yfjw4QCYzWZSU1OZOHEiffr0oWLFitjb2+Pq6oqnp+dt27pw4QJLlixh+/btAPTs2ZMWLVrwwQcfWE46Tpw4QWRkJPXr1wegbt26lvefOHGCLl260LBhQ4DbXmk0depU2rdvz+DBgy393rZtG6tWrcpVLjs7mzlz5uDq6gpAr169WL9+PWPGjCnS+PLxxx9Tp04dy68j6tWrZzmREilJyqqyKrZBWVVWxTYoq8qq2AZlVVm1BSX2y/Uc48ePZ+7cuaSlpd1xHQ0bNrRMrAOEhIRQs2ZNateuTa9evZg/fz6ZmZkA/PDDD2RmZhISEkK5cuUsf/PmzePw4cNFam/WrFm88sorODs733Gf5e6cOXSG47uP07hLYwDsHexp1LkRO+Jv3vol8LVA9izfw4SgCayMWsnRHUct7w0IDeBUyinGBoxl6dClHNhwoMB2zh46S7UG1XB0drQsq9mkZr5lqzWoZvlvNw83AC79fAmAU9+d4r8T/8sQryGWv0UDFnHh9AWuZV7jzPdnqPBYBcvEOoB3gHcxt4rI/XG743ZaWhqBgYG5lgUGBnLo0CGysrLylL+dBQsWUKdOHfz8/ADw9/enZs2aLFp068utgQMHEhYWRnBwMOPGjct1HO/fvz+jR48mMDCQqKgo9u3bl6eNHAcPHiQgICDXsj++hpsPt8k5UQGoWrUqZ8+eBYo2vqSlpfHkk0/mqjPnxEakpCmryqrYBmVVWRXboKwqq2IblFVl1dqV+OR6UFAQbdu2ZdiwYXkbs7Oz3OYjx/Xr1/OUc3FxyfXa1dWV3bt3s2DBAqpWrcqIESPw8/Pj3LlzXLp0c7Jz9erV7N271/KXmppa6H3XAbZu3crBgwcJCwsrzseUErYjfgfZN7KJ8o1iYJWBDKwykMRZiXz7xbdcvnAZ3xBfor6NotXfWnH+9HmmdZ7Gf4b/BwAvPy9G7BlB+2HtuX75OnNen8Ps3rPvuk92jr+Lx//dlis7OxuAa79do93QdkRujrT8Dfl6CO8mvYuDsx6eKrbldsftkhQXF8f+/ftxcHCw/KWmpuZ6UMzIkSPZv38/HTp0YMOGDfj6+rJ8+XIAwsLCOHLkCL169SIlJYWmTZsyderUu+pTziV8OUwmkyXndzu+iJQ0ZfUWZVWsmbJ6i7Iq1kxZvUVZFWumrN6irFqnezILOG7cOPz9/S0PI81RpUoVTp8+jWEYlocI7N27t0h1Ojg4EBwcTHBwMFFRUZQvX54NGzYQEhKCk5MTJ06cKNItYP4oLi6OJk2aWL6Zkvsv60YWuxbtotOoTtRvXT/XurhecexeupvA1wIpV7kcAaEBBIQGkNg8kZUjVtJpVCcAnN2cafxyYxq/3Bi/F/2Y8ecZ/JbxGy4Vcn9R82jdR0n6PIkbV2/g4HRz9z+x+0Sx+1z9ieqcPXSWKrWr5Lvew+xBxqkMzp8+j7vnzV+vH9t1rNjtiNwvBR23fXx8SExMzLUsMTERs9mMvb09cPPJ54X9KiAlJYWkpCQ2bdpExYq3bt3066+/0qpVKw4cOGC5tM5sNmM2m4mIiCA0NJTZs2fTuXNnALy8vAgPDyc8PJxhw4Yxc+ZM+vXrl6e9evXqsWvXrlzL/vi6ML6+voWOLz4+PqxcuTLXsm+++aZY7YgUh7Kal7Iq1khZzUtZFWukrOalrIo1UlbzUlatxz2ZXG/YsCGvvPIKU6ZMybW8VatW/PTTT0yYMIGuXbuydu1a1qxZg5ub223rW7VqFUeOHCEoKIgKFSqQkJBAdnY29erVw9XVlcGDBxMREUF2djbPPPMM58+fJzExETc3N3r37l1gvRcuXODzzz/P9SRhuf/2f7mfzHOZPNXrKcq6lc217omOT/BN/DecTz+Pl78XnvU9uXH1BqlfpuJh9gBg40cbcfN0o3rD6pjsTHz7n29x83CjrHvZPG016dKE1aNXsyhiEW3ebkPGyQw2fLgBoNCnRv/ec5HPMTN0JhWqV8DvRT9Mdib+993/SD+QTod3O2BuZebROo/y2d8/48XoF7ly8QoJYxLuYiuJ3FsFHbcHDRpEs2bNGDVqFN27d2f79u18+OGHTJs2zVLG29ubLVu20KNHD5ycnKhcuXKe+uPi4ggICMj1MOoczZo1Iy4ujujoaCIjI+natSu1atXi5MmT7Nq1iy5dugAwYMAA2rdvj9lsJiMjg40bN+Lj45Pv5+nXrx9BQUHExsbSsWNHNmzYwJo1a4qV86KML+Hh4UyaNInIyEjCwsJITk62PDxH5F5QVvNSVsUaKat5KatijZTVvJRVsUbKal7KqvUo8dvC5IiOjrZcqpDDx8eHadOm8dFHH+Hn58fOnTstN++/nfLly7Ns2TKeffZZfHx8mD59OgsWLKBBgwYAjBo1iuHDhxMTE4OPjw/t2rVj9erV1KpV67b1Lly4EMMwCA0NvfMPKndtR/wO6rWsl2diHcCvox8/7vkROwc7VkWvYkKLCUx9YSomexO9425+ceJczpkNUzYwqc0kYtvE8uuPv/LGojews8u7ezu7OdP3s76cSjnFxJYTSRiTQNshbQEsv2QvCp82PvRd0JeDGw8SGxzL5Ocms+njTVSsfvMbTjs7O17/9HWuX7lObHAsC99eyPPvPn8nm0fkvsnvuN24cWMWL17MwoUL+dOf/sSIESOIjo6mT58+ud537Nix/9/e/YPEdcABHP+pEKlCshhKhxxF4cDpREdHcZAMLQhO4qR0sAQka4e6KIg4ON2qKCkGQcigWwc3UafCSReLkCFBpwNB4bwOoWnrn5yPat97+vnM77gfB9/3Hj/u7kVXV1c8f3711xzn5+exsrLy+abjsuHh4VheXo7m5uY4OTmJsbGxKBaLMTIyEkNDQzE9PR0REbVaLSYnJz+f54vF4r9umv6pv78/yuVyLCwsRKlUiq2trZiamkr8bI1G15dCoRDr6+uxsbERpVIpyuVyzMzMJHoPSEqrV2mVLNLqVVoli7R6lVbJIq1epdVsaKpf/hP0a+zv70dfX1/s7e1Fb2/v/zFX5qyursbo6Gi8/vV1vCi9SHsc7tDu29148+ObmP1jNp589aTxC8i03be7sfLDyqM+X3G9iYmJODg4iO3t7bRHIf6+rmqVy7SaLVrlJlrNFq1yE61mj165jlaz57b7cE9e5NHZ+WUnOr7tiGffPIv3v72Pdz+/i57veyzW4YGZn5+PwcHBaG9vj83NzVhaWrrxmwNAerQK+aBVyAetQj5o9eGwXOfRqX6sxubsZlQ/VuPp10+j57ueePnTy7THAu7Yzs5OzM3NRbVajc7OzlhcXIzx8fG0xwIu0Srkg1YhH7QK+aDVh8NynUdn4NVADLwaSHsM4J6tra2lPQJwC1qFfNAq5INWIR+0+nDc2wNNAQAAAADgobJcBwAAAACAhCzXAQAAAAAgoUT/uV6pVO5rjsw7PDyMiIgPv39IeRLgS06OTiLicZ+vIA/+uq5qFbJNq5APWoX80Cvkw20bbarX6/VGBx0dHUV3d3ecnp7+58HyrKm5KeoXDT8uIGXNLc1xUbtIewyggZaWlqjVammPATSgVcgHrUJ+6BXyoa2tLSqVShQKhRuPudVyPeLTgv34+PjOhsujs7OzaG1tTXsMoAGtQj5oFfJBq5APWoX80CvkQ0dHxxcX6xEJlusAAAAAAMAnHmgKAAAAAAAJWa4DAAAAAEBClusAAAAAAJCQ5ToAAAAAACRkuQ4AAAAAAAlZrgMAAAAAQEKW6wAAAAAAkNCf7LsJ+tmXLuoAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query137: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,2,0]) != (shifts[1,0,0])]\n",
      "Size of CL:  20\n",
      "Size of B:  125\n",
      "Number of Queries:  138\n",
      "Query138: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query139: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query140: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) != (shifts[1,0,0])]\n",
      "Query141: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query142: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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r6/ZXmzZtSvT5H3bKaskpr7vN8+82r/Xq1Ss0r3ltSdGU1ZIr76xu2LCh0O28b9++RS7zySefmNq1a2eqUaOGqWLFiqa6deua+vXrZzp27Ji5TJs2bUxvv/12vuW6du2ar17AtGLFCvP732c5T3h4uOnRRx8tNnsbNmww+fr6mipWrGhq0KDBHc+Z5RZlteSU1RXm9/eS1cI+Q7169Yr9/KK8lpSyusL8/m6z2qZNm1J/BrmlpGPBBpPJZLqbQfmHza5du2jevDlpaWn4+fmVd3ceKp9++ikRERH897//pWLFiuXdHbFwCxYsoE+fPspqOVBWpTSU1fKlvEpJKavlS1mVklJWy5eyKqWhvJYfZVVKo6RjwbotjFisS5cukZWVxfjx43nzzTe14xOxUMqqiPVQXkWsg7IqYh2UVRHroKzK/aQHmorFmjhxIo0bN8bNzY3hw4eXd3dEpAjKqoj1UF5FrIOyKmIdlFUR66Csyv2kwXWxWKNGjeL69eusX79eDxsTsWDKqoj1UF5FrIOyKmIdlFUR66Csyv2kwXURERERERERERERkVLS4LqIiIiIiIiIiIiISClpcF1EREREREREREREpJTsSlrwxIkT/PTTT/ezLxYtMzMTgKSkJPO/RcTypKSkAMqqiKVTVkWsg7IqYh2UVRHrobyKWIejR4+WqJzBZDKZiit04sQJvLy8uHTp0j13zJrZ2NiQm5tb3t0QkWIoqyLWwWBjwJRb7GmIiJQzZVXEOugcWMR6KK8i1sHW1pYtW7bQqlWrIsuU6JfrP/30E5cuXSIhIQEvL68y66A1SUpKYsSIEQ/1OhCxBsqqiHXIy2qfmX1wNbqWd3dEpAgZX2WwZuwaZVXEwuVlVefAIpZPf7OKWIfMzEz69OmDvb39HcuV+LYwAF5eXvj5+d1Tx6xV3qU6D/M6ELEGyqqIdcjLqqvRFXcf93LujYgU5cx3ZwBlVcTS5WVV58Ailk9/s4o8WPRAUxERERERERERERGRUtLguoiIiIiIiIiIiIhIKWlwXURERERERERERESklDS4LlKEjRs3YjAYOHfuXHl3xaL6ImKJLCkjltQXkfthULVB7Fu9r7y7AVhWX0QsjSXlw5L6IvIgsaTzTkvqi4ilsaR8WFJfHhRlMrjer18/DAYD48ePzzd95cqVGAyGsmiizC1fvpznnnuORx99FIPBwJ49e8q7S1avLLcDDw8PpkyZUuLysbGx2NraMmnSpFK1cydPP/00WVlZuLi4lFmdIpZCeRV5OBzdcZSI6hF80uuTMqszJjMG7yDvMqtPRJRVkT+KzoFFrIOyKtakzH657uDgwIQJE8jOzi6rKgG4du1amdaX57fffuOZZ55hwoQJ96X+h9X92g6KM3v2bIYOHcrs2bPLrM6KFSvi5uZmsV8Qidwr5VXkwbc9YTut+7fm8LbDnM86XyZ1Ors6Y2dvVyZ1ichNyqrIH0fnwCLWQVkVa1Fmg+tBQUG4ubkRGxtbZJlRo0bh6+ubb9qUKVPw8PAwv+/Xrx8vvfQSY8eOpXbt2nh6egIwffp0GjVqhIODA66urvTo0cO8TG5uLrGxsdSvX59KlSrh4+PD0qVL79jf0NBQRo4cSVBQUOk/rBSpJNsBwLJly2jSpAn29vZ4eHgwefJk87y2bdty/PhxIiIiMBgMxe58Nm3axOXLl4mJieHChQts3bo13/y9e/fSrl07nJyccHZ2pnnz5qSmpgJw/PhxunTpQtWqVXF0dKRJkyYkJSUBhV8qM2vWLNzd3XnkkUfo1q0bcXFxVKlSxTw/bxv/9NNP8fDwwMXFhd69e3Px4kVzmZJsr0lJSRiNRipVqkS7du04duzYHdeByN1QXpVXebBd/fUqu1fuJuD1ALyDvdmxcId53qVzl/j0jU95t9G7RNWOYkyLMWxfsB2AG9dusHToUkZ6jSSyViTvPfEe6/65zrzs7bd3OLr9KBMDJxJZK5LJz05m3+p9DKo2iJPpJwE49PUhBlUbxHebvmPys5OJeiyKKR2mcObQmXz9TU9K5/227xNZK5LRzUazdsJacm7kmOf/ePhHpnaeSmStSGKfiuXghoP3Zb2J/NGUVZE/ls6BdQ4s1kFZVVatRZn9lMHW1pZx48bxl7/8hYEDB1KnTp27rmv9+vU4Ozuzbt3Nk8PU1FQGDhzIp59+ytNPP80vv/zCli1bzOVjY2NJSEhgxowZNGrUiM2bN9OnTx9q1KhBmzZt7vmzScmVZDtIS0ujZ8+ejBo1il69erF161b+9re/8eijj9KvXz+WL1+Oj48Pb7zxBv379y+2zfj4eEJCQqhQoQIhISHEx8fz9NNPm+e/8sorNGvWjI8//hhbW1v27NlDhQoVAHjrrbe4du0amzdvxtHRkYyMDCpXrlxoOykpKYSHhzNhwgRefPFFvvrqK0aMGFGg3OHDh1m5ciWJiYlkZ2fTs2dPxo8fz9ixY4Hit9cffviBl19+mbfeeos33niD1NRUhgwZUqL1L1IayqvyKg+23St3U7NRTVwbudKiZwtWvLOCoIggDAYDSeOSOH3wNG8ueRPHRx356chPXL9yHYDNMzfz7Zpv6Tu7L1XrVOXcqXNknyr8F0NXLlxh1l9m4R3szaufvMovP/zCindXFFp29ZjVdB3dlcqPVmbJkCUsGrCIt9e+DcDhbYdZ8NcFvDz+ZRq0asDPR39mccRiADr+vSO5ubnMfnU2TjWdiFgXwZULV1jxTuHtiFgbZVXkj6VzYJ0Di3VQVpVVa1Gm1wl269YNX19foqOjiY+Pv+t6HB0d+de//kXFihWBm/dHd3R05IUXXsDJyYl69erRrFkzAK5evcq4ceP46quvaNWqFQANGjTg66+/ZubMmRpcLwfFbQdxcXG0b9/evOMwGo1kZGQwadIk+vXrR7Vq1bC1tcXJyQk3N7c7tnXhwgWWLl3Ktm3bAOjTpw+tW7fmgw8+MO/ETpw4QVRUFI0bNwagUaNG5uVPnDhB9+7dadq0KXBz2ynKtGnT6NSpE5GRkeZ+b926lcTExHzlcnNzmTt3Lk5OTsDNqyTWr1/P2LFjS7S9fvzxxzRs2ND8baunpyfp6em6hZHcF8qr8ioPru0J22nx5xYANG7fmMsXLvN9yvc0eqYR2SezeazpY9RtVheAR+s+al4u+1Q2NRrWoMFTDTAYDFRzr1ZkG2nL0jAYDPSa0osKDhVwa+zG+azzLB60uEDZzv/ozOMBjwMQNCiIT3p9wvUr16ngUIEvJ35J+0Ht8Q/xB6C6R3Wef+d5Vo1aRce/d+S7jd9x5tAZwpeG41LLxVzfzJ4zy2ZliZQjZVXkj6dzYJ0Di3VQVpVVa1Bmt4XJM2HCBObNm0dmZuZd19G0aVPzwDpAcHAw9erVo0GDBoSGhrJgwQIuXboEwPfff8+lS5cIDg6mcuXK5tf8+fM5fPjwPX8euTt32g4yMzMJCAjINy0gIIBDhw6Rk5NToPydLFy4kIYNG+Lj4wOAr68v9erVY/HiW38oDB48mLCwMIKCghg/fny+7WLgwIGMGTOGgIAAoqOj2bdvX4E28hw8eBB/f/98025/DzcflpG34wOoVasWZ8+eBUq2vWZmZvLkk0/mqzNvRylyPyivyqs8eM4cOsPxXcfx6+4HgK2dLc26NWN7ws3bSQS8FsDuFbuZGDiRVdGrOLr9qHlZ/xB/TqWfYpz/OJYNW8aB5ANFtnP20FlqN6lNBYcK5mn1mtcrtGztJrXN/3Z2dQbg159+BeDUt6f4z6T/MNR9qPm1eNBiLpy+wLVL1zjz3RmqPlbVPFgH4OHvUcq1ImJ5lFWR8qNzYJ0Di3VQVpVVS1fmg+uBgYF06NCB4cOHF2zMxgaTyZRv2vXr1wuUc3R0zPfeycmJXbt2sXDhQmrVqsXIkSPx8fHh3Llz/PrrzRO91atXs2fPHvMrIyOj2Puuy/1zp+2gLMXHx7N//37s7OzMr4yMjHwPnhg1ahT79++nc+fOJCcn4+3tzYoVNy9PDQsL48iRI4SGhpKenk6LFi2YNm3aPfUp75KgPAaDgdzcXABtr2KRlNdblFd5UGxP2E7ujVyivaMZXGMwg2sMJmV2Cnu/2MvlC5fxDvYmem80bf/alvOnzzO923T+PeLfALj7uDNy90g6De/E9cvXmfv6XOb0nXPPfbKp8LvTzv+/3WVe3q79do2OwzoStSnK/Br69VDeTX0XOwc9kFEeXMqqSPnROfAtOgcWS6as3qKsWqb7cgY0fvx4fH19zQ8jzVOjRg1Onz6NyWQyP0Rgz549JarTzs6OoKAggoKCiI6OpkqVKiQnJxMcHIy9vT0nTpzQLWAsTFHbgZeXFykpKfmmpaSkYDQasbW1BW4+Sbm4bxnT09NJTU1l48aNVKt26zLYX375hbZt23LgwAHzpTpGoxGj0UhERAQhISHMmTOHbt26AeDu7k54eDjh4eEMHz6cWbNmMWDAgALteXp6snPnznzTbn9fHG9v72K3Vy8vL1atWpVv2jfffFOqdkRKS3ktSHkVa5VzI4edi3fSdXRXGrdrnG9efGg8u5btIuC1ACpXr4x/iD/+If6ktEph1chVdB3dFQAHZwf8XvbD72U/fF70YeafZ/Jb9m84Vs3/A4iajWqS+nkqN67ewM7+5mnliV0nSt3nOk/U4eyhs9RoUKPQ+a5GV7JPZXP+9Hlc3G7+IvbYzmOlbkfEkiirIuVP58AF6RxYLJGyWpCyajnuy+B606ZNeeWVV5g6dWq+6W3btuXHH39k4sSJ9OjRg7Vr17JmzRqcnZ3vWF9iYiJHjhwhMDCQqlWrkpSURG5uLp6enjg5OREZGUlERAS5ubk888wznD9/npSUFJydnenbt2+hdf7yyy+cOHGC//73v8DNSzIA3Nzcir0Pk5RMUdvBkCFDaNmyJaNHj6ZXr15s27aNDz/8kOnTp5vLeHh4sHnzZnr37o29vT3Vq1cvUH98fDz+/v4EBgYWmNeyZUvi4+OJiYkhKiqKHj16UL9+fU6ePMnOnTvp3r07AIMGDaJTp04YjUays7PZsGEDXl5ehX6eAQMGEBgYSFxcHF26dCE5OZk1a9YU+7Tp3yvJ9hoeHs7kyZOJiooiLCyMtLQ05s6dW+I2RO6G8lqQ8irWav+X+7l07hJPhT5FJedK+eY90eUJvkn4hvNZ53H3dcetsRs3rt4g48sMXI2uAGz4aAPObs7UaVoHg42Bvf/ei7OrM5VcKhVoq3n35qwes5rFEYtp/3Z7sk9mk/xhMkCp8vZc1HPMCplF1TpV8XnRB4ONgf9++1+yDmTR+d3OGNsaqdmwJp/97TNejHmRKxevkDQ26R7Wkkj5U1ZFyp/OgQvSObBYImW1IGXVcpT5bWHyxMTEmC9VyOPl5cX06dP56KOP8PHxYceOHeab999JlSpVWL58Oc8++yxeXl7MmDGDhQsX0qRJEwBGjx7NiBEjiI2NxcvLi44dO7J69Wrq169fZJ2rVq2iWbNmdO7cGYDevXvTrFkzZsyYcQ+fWm5X2Hbg5+fHkiVLWLRoEX/6058YOXIkMTEx9OvXL99yx44do2HDhtSoUfCXMdeuXSMhIcG8E7td9+7dmT9/PjY2Nvz888+8+uqrGI1GevbsSadOnXjvvfcAyMnJ4a233jJvN0ajMd9O+PcCAgKYMWMGcXFx+Pj4sHbtWiIiInBwcCjVOilue61bty7Lli1j5cqV+Pj4MGPGDMaNG1eqNkTuhvJakPIq1mh7wnY823gWGKwD8Oniww+7f8DGzobEmEQmtp7ItBemYbA10Df+5g8SHCo7kDw1mcntJxPXPo5ffviFNxa/gY1NwdNGB2cH+n/Wn1Ppp5jUZhJJY5PoMLQDgPnXsSXh1d6L/gv7c3DDQeKC4pjy3BQ2fryRanVu/nLIxsaG1z99netXrhMXFMeitxfx/LvP383qEbEYyqqIZdA5cEE6BxZLpKwWpKxaBoPp9pugF2LXrl00b96ctLQ0/Pz8/oh+WZwFCxbQp0+fh3odSEH9+/fnwIEDbNmypby7Iv9PWZWiKK+WJS+rQzYMwd3Hvby7I2Uo9fNUFv7vQmKPxVKxUsXiFxCLlvp5KglvJiirDyBl9cGSl1WdA8vtdA5sefQ3qxRGWbU8JR0P11NnRErh/fffJzg4GEdHR9asWcO8efOK/CZSRMqX8iryx9ixaAfVParjUsuFU9+e4otRX+D7kq8G60QsjLIq8nDQObCIdVBWHxwaXBcphR07djBx4kQuXrxIgwYNmDp1KmFhYeXdLREphPIq8se4ePYia2LXcPHsRZxdnfHt6kvnf3Qu726JyG2UVZGHg86BRayDsvrg0OC6SCksWbKkvLsgIiWkvIr8MdoPbE/7ge3LuxsiUgxlVeThoHNgEeugrD447tsDTUVEREREREREREREHlQaXBcRERERERERERERKSUNrouIiIiIiIiIiIiIlFKp7rmelJREZmbm/eqLRUtJSQEe7nUgYg2UVRHrkJfVjK8yOPPdmXLujYgU5cj2I4CyKmLp8rKqc2ARy6e/WUWsw9GjR0tUzmAymUzFFdq2bRutW7cmJyfnnjtmzWxsbMjNzS3vbohIMQw2Bky5xe7aRKSc6bgqYh2UVRHroKyKWA/lVcQ62NrasmXLFlq1alVkmRL9ct3e3p6cnBwSEhLw8vIqsw5ak6SkJEaMGPFQrwMRa5CX1T4z++BqdC3v7ohIETK+ymDN2DU6ropYOJ0Di1gHZVXEeiivItYhMzOTPn36YG9vf8dypbotjJeXF35+fvfUMWuVd6nOw7wORKxBXlZdja64+7iXc29EpCh5t5fQcVXEsukcWMQ6KKsi1kN5FXmw6IGmIiIiIiIiIiIiIiKlpMF1EREREREREREREZFS0uC6iIiIiIiIiIiIiEgpaXBdRERERERERERERKSUNLguUoSNGzdiMBg4d+5ceXfFovoicr8MqjaIfav3lXc3AMvqi8iDxJKOZ5bUFxFLY0n5sKS+iFgaS8qHJfVFxNJYUj4sqS8PijIZXO/Xrx8Gg4Hx48fnm75y5UoMBkNZNFGmrl+/zt///neaNm2Ko6MjtWvX5tVXX+W///1veXfNqpXlduDh4cGUKVNKXD42NhZbW1smTZpUqnbu5OmnnyYrKwsXF5cyq1PkQXF0x1EiqkfwSa9PyqzOmMwYvIO8y6w+kQeBjq0i1kFZFbEOyqqIdVBWxZqU2S/XHRwcmDBhAtnZ2WVVJQDXrl0r0/oALl26xK5duxgxYgS7du1i+fLlHDx4kBdffLHM23rY3K/toDizZ89m6NChzJ49u8zqrFixIm5ubhb5BZFIeduesJ3W/VtzeNthzmedL5M6nV2dsbO3K5O6RB4kOraKWAdlVcQ6KKsi1kFZFWtRZoPrQUFBuLm5ERsbW2SZUaNG4evrm2/alClT8PDwML/v168fL730EmPHjqV27dp4enoCMH36dBo1aoSDgwOurq706NHDvExubi6xsbHUr1+fSpUq4ePjw9KlS4vsh4uLC+vWraNnz554enry1FNP8eGHH5KWlsaJEyfubgUIULLtAGDZsmU0adIEe3t7PDw8mDx5snle27ZtOX78OBERERgMhmJ3Pps2beLy5cvExMRw4cIFtm7dmm/+3r17adeuHU5OTjg7O9O8eXNSU1MBOH78OF26dKFq1ao4OjrSpEkTkpKSgMIvlZk1axbu7u488sgjdOvWjbi4OKpUqWKen7eNf/rpp3h4eODi4kLv3r25ePGiuUxJttekpCSMRiOVKlWiXbt2HDt27I7rQOSPdPXXq+xeuZuA1wPwDvZmx8Id5nmXzl3i0zc+5d1G7xJVO4oxLcawfcF2AG5cu8HSoUsZ6TWSyFqRvPfEe6z75zrzsrffiuXo9qNMDJxIZK1IJj87mX2r9zGo2iBOpp8E4NDXhxhUbRDfbfqOyc9OJuqxKKZ0mMKZQ2fy9Tc9KZ33275PZK1IRjcbzdoJa8m5kWOe/+PhH5naeSqRtSKJfSqWgxsO3pf1JnK3dGzVsVWsg7KqrIp1UFaVVbEOyqqyai3KbHDd1taWcePGMW3aNE6ePHlPda1fv56DBw+ybt06EhMTSU1NZeDAgcTExHDw4EHWrl1LYGCguXxsbCzz589nxowZ7N+/n4iICPr06cOmTZtK3Ob58+cxGAz5NmQpvZJsB2lpafTs2ZPevXuTnp7OqFGjGDFiBHPnzgVg+fLl1KlTh5iYGLKyssjKyrpjm/Hx8YSEhFChQgVCQkKIj4/PN/+VV16hTp067Ny5k7S0NIYNG0aFChUAeOutt7h69SqbN28mPT2dCRMmULly5ULbSUlJITw8nLfffps9e/YQHBzM2LFjC5Q7fPgwK1euJDExkcTERDZt2pTvUqbittcffviBl19+mS5durBnzx7CwsIYNmzYHdeByB9p98rd1GxUE9dGrrTo2YLtC7ZjMpkASBqXxOmDp3lzyZsM+2YYf37/zzg+6gjA5pmb+XbNt/Sd3Zd3drxD6CehVKtbrdA2rly4wqy/zKK2d20iN0TSaXgnvnjvi0LLrh6zmq6juzJk/RBs7GxYNGCRed7hbYdZ8NcFBL4ZyLBtw+gZ15MdC3ewbvLNQf3c3Fxmvzobu4p2RKyLoGdczyLbESkvOrbq2CrWQVlVVsU6KKvKqlgHZVVZtRZlev19t27d8PX1JTo6usAGWBqOjo7861//omLFisDNMDg6OvLCCy/g5OREvXr1aNasGQBXr15l3LhxfPXVV7Rq1QqABg0a8PXXXzNz5kzatGlTbHtXrlzh73//OyEhITg7O991v+Wm4raDuLg42rdvz4gRIwAwGo1kZGQwadIk+vXrR7Vq1bC1tcXJyQk3N7c7tnXhwgWWLl3Ktm3bAOjTpw+tW7fmgw8+MO/ETpw4QVRUFI0bNwagUaNG5uVPnDhB9+7dadq0KXBz2ynKtGnT6NSpE5GRkeZ+b926lcTExHzlcnNzmTt3Lk5OTgCEhoayfv16xo4dW6Lt9eOPP6Zhw4bmb1s9PT3NO2YRS7A9YTst/twCgMbtG3P5wmW+T/meRs80IvtkNo81fYy6zeoC8GjdR83LZZ/KpkbDGjR4qgEGg4Fq7oUPrAOkLUvDYDDQa0ovKjhUwK2xG+ezzrN40OICZTv/ozOPBzwOQNCgID7p9QnXr1yngkMFvpz4Je0Htcc/xB+A6h7Vef6d51k1ahUd/96R7zZ+x5lDZwhfGo5LLRdzfTN7ziyblSVSRnRs1bFVrIOyqqyKdVBWlVWxDsqqsmoNyuyX63kmTJjAvHnzyMzMvOs6mjZtah5YBwgODqZevXo0aNCA0NBQFixYwKVLlwD4/vvvuXTpEsHBwVSuXNn8mj9/PocPHy62revXr9OzZ09MJhMff/zxXfdZ8rvTdpCZmUlAQEC+aQEBARw6dIicnJwC5e9k4cKFNGzYEB8fHwB8fX2pV68eixffGoAbPHgwYWFhBAUFMX78+HzbxcCBAxkzZgwBAQFER0ezb9++Am3kOXjwIP7+/vmm3f4ebj4sI2/HB1CrVi3Onj0LlGx7zczM5Mknn8xXZ96OUqS8nTl0huO7juPX3Q8AWztbmnVrxvaEm7d+CXgtgN0rdjMxcCKroldxdPtR87L+If6cSj/FOP9xLBu2jAPJB4ps5+yhs9RuUpsKDhXM0+o1r1do2dpNapv/7ex68wvSX3/6FYBT357iP5P+w1D3oebX4kGLuXD6AtcuXePMd2eo+lhV88A6gIe/RynXisgfQ8dWHVvFOiiryqpYB2VVWRXroKwqq5auzAfXAwMD6dChA8OHDy/YmI2N+dYBea5fv16gnKOjY773Tk5O7Nq1i4ULF1KrVi1GjhyJj48P586d49dfbw6grF69mj179phfGRkZd7zvel7bPXv25Pjx46xbt06/Wi9Dd9oOylJ8fDz79+/Hzs7O/MrIyMj34IlRo0axf/9+OnfuTHJyMt7e3qxYsQKAsLAwjhw5QmhoKOnp6bRo0YJp06bdU5/yLgnKYzAYyM3NBbin7VXEEmxP2E7ujVyivaMZXGMwg2sMJmV2Cnu/2MvlC5fxDvYmem80bf/alvOnzzO923T+PeLfALj7uDNy90g6De/E9cvXmfv6XOb0nXPPfbKp8LtD2f/fQi8vc9d+u0bHYR2J2hRlfg39eijvpr6LnYMenirWRcfWW3RsFUumrN6irIolU1ZvUVbFkimrtyirlum+jCyMHz8eX19f88NI89SoUYPTp09jMpnMDxHYs2dPieq0s7MjKCiIoKAgoqOjqVKlCsnJyQQHB2Nvb8+JEydKdAuYPHkD64cOHWLDhg08+uijxS8kpVLUduDl5UVKSkq+aSkpKRiNRmxtbYGbT1Iu7lvG9PR0UlNT2bhxI9Wq3bq9xC+//ELbtm05cOCA+VIdo9GI0WgkIiKCkJAQ5syZQ7du3QBwd3cnPDyc8PBwhg8fzqxZsxgwYECB9jw9Pdm5c2e+abe/L463t3ex26uXlxerVq3KN+2bb74pVTsi90POjRx2Lt5J19Fdadyucb558aHx7Fq2i4DXAqhcvTL+If74h/iT0iqFVSNX0XV0VwAcnB3we9kPv5f98HnRh5l/nslv2b/hWDX/l6o1G9Uk9fNUbly9gZ39zUPViV2lf+B0nSfqcPbQWWo0qFHofFejK9mnsjl/+jwubjd/vX5s57FStyPyR9GxtSAdW8USKasFKatiiZTVgpRVsUTKakHKquW4L4PrTZs25ZVXXmHq1Kn5prdt25Yff/yRiRMn0qNHD9auXcuaNWuK/cV4YmIiR44cITAwkKpVq5KUlERubi6enp44OTkRGRlJREQEubm5PPPMM5w/f56UlBScnZ3p27dvgfquX79Ojx492LVrF4mJieTk5HD69GkAqlWrlu+WNHL3itoOhgwZQsuWLRk9ejS9evVi27ZtfPjhh0yfPt1cxsPDg82bN9O7d2/s7e2pXr16gfrj4+Px9/fP93DbPC1btiQ+Pp6YmBiioqLo0aMH9evX5+TJk+zcuZPu3bsDMGjQIDp16oTRaCQ7O5sNGzbg5eVV6OcZMGAAgYGBxMXF0aVLF5KTk1mzZk2xT5v+vZJsr+Hh4UyePJmoqCjCwsJIS0szP4xDpDzt/3I/l85d4qnQp6jkXCnfvCe6PME3Cd9wPus87r7uuDV248bVG2R8mYGr0RWADR9twNnNmTpN62CwMbD333txdnWmkkulAm01796c1WNWszhiMe3fbk/2yWySP0wGKFXmnot6jlkhs6hapyo+L/pgsDHw32//S9aBLDq/2xljWyM1G9bks799xosxL3Ll4hWSxibdw1oSub90bC1Ix1axRMpqQcqqWCJltSBlVSyRslqQsmo5yvy2MHliYmLMlyrk8fLyYvr06Xz00Uf4+PiwY8cO883776RKlSosX76cZ599Fi8vL2bMmMHChQtp0qQJAKNHj2bEiBHExsbi5eVFx44dWb16NfXr1y+0vlOnTrFq1SpOnjyJr68vtWrVMr+2bt167x9ezArbDvz8/FiyZAmLFi3iT3/6EyNHjiQmJoZ+/frlW+7YsWM0bNiQGjUK/uL02rVrJCQkmHdit+vevTvz58/HxsaGn3/+mVdffRWj0UjPnj3p1KkT7733HgA5OTm89dZb5u3GaDTm2wn/XkBAADNmzCAuLg4fHx/Wrl1LREQEDg4OpVonxW2vdevWZdmyZaxcuRIfHx9mzJjBuHHjStWGyP2wPWE7nm08CwysA/h08eGH3T9gY2dDYkwiE1tPZNoL0zDYGugbf/NLTofKDiRPTWZy+8nEtY/jlx9+4Y3Fb2BjU/BQ5ODsQP/P+nMq/RST2kwiaWwSHYZ2ADD/kr0kvNp70X9hfw5uOEhcUBxTnpvCxo83Uq3OzV8j2NjY8Pqnr3P9ynXiguJY9PYinn/3+btZPSJ/GB1bC9KxVSyRslqQsiqWSFktSFkVS6SsFqSsWgaD6faboBdi165dNG/enLS0NPz8/P6IflmcBQsW0KdPn4d6HUhB/fv358CBA2zZsqW8uyL/Ly+rQzYMwd3Hvby7I2Uo9fNUFv7vQmKPxVKxkq4wsnapn6eS8GaCjqtSgI6tlkXnwFIUZdWyKKtSFGXV8iivUhhl1fKUdDxcT3MTKYX333+f4OBgHB0dWbNmDfPmzSvym0gRuTc7Fu2gukd1XGq5cOrbU3wx6gt8X/LVwLrIA0bHVhHroKyKWAdlVcQ6KKsPDg2ui5TCjh07mDhxIhcvXqRBgwZMnTqVsLCw8u6WyAPp4tmLrIldw8WzF3F2dca3qy+d/9G5vLslImVMx1YR66CsilgHZVXEOiirDw4NrouUwpIlS8q7CyIPjfYD29N+YPvy7oaI3Gc6topYB2VVxDooqyLWQVl9cNy3B5qKiIiIiIiIiIiIiDyoNLguIiIiIiIiIiIiIlJKGlwXERERERERERERESmlUt1zPSkpiczMzPvVF4uWkpICPNzrQMQa5GU146sMznx3ppx7IyJFObL9CKDjqoil0zmwiHVQVkWsh/IqYh2OHj1aonIGk8lkKq7Qtm3baN26NTk5OffcMWtmY2NDbm5ueXdDRIqhrIpYB2VVxDooqyLWQVkVsR7Kq4h1sLW1ZcuWLbRq1arIMiX65bq9vT05OTkkJCTg5eVVZh20JklJSYwYMeKhXgci1kBZFbEOyqqIdVBWRayDsipiPZRXEeuQmZlJnz59sLe3v2O5Ut0WxsvLCz8/v3vqmLXKu1TnYV4HItZAWRWxDsqqiHVQVkWsg7IqYj2UV5EHix5oKiIiIiIiIiIiIiJSShpcFxEREREREREREREpJQ2ui4iIiIiIiIiIiIiUkgbXRYqwceNGDAYD586dK++uWFRfRCyRJWXEkvoiYmksKR+W1BcRS2NJ+bCkvohYGkvKhyX1RcTSWFI+LKkvD4oyGVzv168fBoOB8ePH55u+cuVKDAZDWTRR5kaNGkXjxo1xdHSkatWqBAUFsX379vLullUry+3Aw8ODKVOmlLh8bGwstra2TJo0qVTt3MnTTz9NVlYWLi4uZVaniKVQXkWsg7IqYh2UVRHroKyKWAdlVaxJmf1y3cHBgQkTJpCdnV1WVQJw7dq1Mq0vj9Fo5MMPPyQ9PZ2vv/4aDw8PnnvuOX788cf70t7D4n5tB8WZPXs2Q4cOZfbs2WVWZ8WKFXFzc7PYL4hE7pXyKmIdlFUR66CsilgHZVXEOiirYi3KbHA9KCgINzc3YmNjiywzatQofH19802bMmUKHh4e5vf9+vXjpZdeYuzYsdSuXRtPT08Apk+fTqNGjXBwcMDV1ZUePXqYl8nNzSU2Npb69etTqVIlfHx8WLp06R37+5e//IWgoCAaNGhAkyZNiIuL48KFC+zbt6/0H17MSrIdACxbtowmTZpgb2+Ph4cHkydPNs9r27Ytx48fJyIiAoPBUOzOZ9OmTVy+fJmYmBguXLjA1q1b883fu3cv7dq1w8nJCWdnZ5o3b05qaioAx48fp0uXLlStWhVHR0eaNGlCUlISUPilMrNmzcLd3Z1HHnmEbt26ERcXR5UqVczz87bxTz/9FA8PD1xcXOjduzcXL140lynJ9pqUlITRaKRSpUq0a9eOY8eO3XEdiNwN5VV5FeugrCqrYh2UVWVVrIOyqqyKdVBWlVWrYSqBtLQ0E2BKS0srdH7fvn1NXbt2NS1fvtzk4OBg+uGHH0wmk8m0YsUK0++biI6ONvn4+ORb9p///KepXr16+eqqXLmyKTQ01PTtt9+avv32W9POnTtNtra2ps8++8x07Ngx065du0wffPCBeZkxY8aYGjdubFq7dq3p8OHDpjlz5pjs7e1NGzduLMnHM129etU0adIkk4uLi+nHH38stExCQsId14GUfDtITU012djYmGJiYkwHDx40zZkzx1SpUiXTnDlzTCaTyfTzzz+b6tSpY4qJiTFlZWWZsrKy7thuaGioKTIy0mQymUxDhgwxvf766/nmN2nSxNSnTx9TZmam6bvvvjMtWbLEtGfPHpPJZDJ17tzZFBwcbNq3b5/p8OHDpi+++MK0adMmk8lkMm3YsMEEmLKzs00mk8n09ddfm2xsbEyTJk0yHTx40PTRRx+ZqlWrZnJxcTG3FR0dbapcubLp5ZdfNqWnp5s2b95scnNzM73zzjvmMsVtrydOnDDZ29ubBg8ebDpw4IApISHB5Orqmq8vUjRltWSUV+W1vCmrJaOsKqvlTVktGWVVWS1vymrJKKvKqiVQXounrCqrlqC48fA8ZTq4bjKZTE899ZR547vbwXVXV1fT1atXzdOWLVtmcnZ2Nl24cKFA21euXDE98sgjpq1bt+ab/j//8z+mkJCQO36uL774wuTo6GgyGAym2rVrm3bs2FFkWe38ilfS7eAvf/mLKTg4ON+yUVFRJm9vb/P7evXqmf75z38W2+b58+dNlSpVMu/Mdu/ebapcubLp4sWL5jJOTk6muXPnFrp806ZNTaNGjSp03u07v169epk6d+6cr8wrr7xSYOf3yCOP5NtWo6KiTE8++aTJZCrZ9jp8+PB868JkMpn+/ve/a+dXQspqySivymt5U1ZLRllVVsubsloyyqqyWt6U1ZJRVpVVS6C8Fk9ZVVYtQUkH18vstjB5JkyYwLx588jMzLzrOpo2bUrFihXN74ODg6lXrx4NGjQgNDSUBQsWcOnSJQC+//57Ll26RHBwMJUrVza/5s+fz+HDh+/YTrt27dizZw9bt26lY8eO9OzZk7Nnz951v+WWO20HmZmZBAQE5JsWEBDAoUOHyMnJKVU7CxcupGHDhvj4+ADg6+tLvXr1WLx4sbnM4MGDCQsLIygoiPHjx+fbLgYOHMiYMWMICAggOjr6jrcFOnjwIP7+/vmm3f4ebj4sw8nJyfy+Vq1a5u2qJNtrZmYmTz75ZL46W7VqVdJVIlJqyqvyKtZBWVVWxTooq8qqWAdlVVkV66CsKquWrswH1wMDA+nQoQPDhw8v2JiNDSaTKd+069evFyjn6OiY772TkxO7du1i4cKF1KpVi5EjR+Lj48O5c+f49ddfAVi9ejV79uwxvzIyMoq977qjoyOPP/44Tz31FPHx8djZ2REfH1/ajyyFuNN2UJbi4+PZv38/dnZ25ldGRka+B0+MGjWK/fv307lzZ5KTk/H29mbFihUAhIWFceTIEUJDQ0lPT6dFixZMmzbtnvpUoUKFfO8NBgO5ubkA97S9itwvyustyqtYMmX1FmVVLJmyeouyKpZMWb1FWRVLpqzeoqxaJrv7Uen48ePx9fU1P4w0T40aNTh9+jQmk8n8EIE9e/aUqE47OzuCgoIICgoiOjqaKlWqkJycTHBwMPb29pw4cYI2bdrcU79zc3O5evXqPdUhtxS1HXh5eZGSkpJvWkpKCkajEVtbW+Dmk5SL+5YxPT2d1NRUNm7cSLVq1czTf/nlF9q2bcuBAwdo3LgxAEajEaPRSEREBCEhIcyZM4du3boB4O7uTnh4OOHh4QwfPpxZs2YxYMCAAu15enqyc+fOfNNuf18cb2/vYrdXLy8vVq1alW/aN998U6p2REpLeS1IeRVLpKwWpKyKJVJWC1JWxRIpqwUpq2KJlNWClFXLcV8G15s2bcorr7zC1KlT801v27YtP/74IxMnTqRHjx6sXbuWNWvW4OzsfMf6EhMTOXLkCIGBgVStWpWkpCRyc3Px9PTEycmJyMhIIiIiyM3N5ZlnnuH8+fOkpKTg7OxM3759C9T322+/MXbsWF588UVq1arFTz/9xEcffcSpU6f485//XKbr4mFW1HYwZMgQWrZsyejRo+nVqxfbtm3jww8/ZPr06eYyHh4ebN68md69e2Nvb0/16tUL1B8fH4+/vz+BgYEF5rVs2ZL4+HhiYmKIioqiR48e1K9fn5MnT7Jz5066d+8OwKBBg+jUqRNGo5Hs7Gw2bNiAl5dXoZ9nwIABBAYGEhcXR5cuXUhOTmbNmjXFPm3690qyvYaHhzN58mSioqIICwsjLS2NuXPnlrgNkbuhvBakvIolUlYLUlbFEimrBSmrYomU1YKUVbFEympByqoFKYsbuP/+QQN5jh49aqpYsaLp9iY+/vhjk7u7u8nR0dH06quvmsaOHVvggaa317VlyxZTmzZtTFWrVjVVqlTJ9MQTT5gWL15snp+bm2uaMmWKydPT01ShQgVTjRo1TB06dDA/lfd2ly9fNnXr1s1Uu3ZtU8WKFU21atUyvfjii3qg6T0qzXawdOlSk7e3t6lChQqmunXrmiZNmpRv/rZt20xPPPGEyd7evsCyJpPJdPXqVdOjjz5qmjhxYqF9mTBhgqlmzZqmK1eumHr37m1yd3c3VaxY0VS7dm3T//7v/5ouX75sMplMpv/93/81NWzY0GRvb2+qUaOGKTQ01PTTTz+ZTKaCD5wwmUymTz75xPTYY4+ZKlWqZHrppZdMY8aMMbm5uZnnl+ShvSXZXr/44gvT448/brK3tze1bt3aNHv2bD1wooSU1ZJRXpXX8qasloyyqqyWN2W1ZJRVZbW8Kaslo6wqq5ZAeS2esqqsWoKSPtDUYDLddhP0QuzatYvmzZuTlpaGn59fGQzpW58FCxbQp0+fh3odSEH9+/fnwIEDbNmypby7Iv9PWZWiKK+WRVmVoiirlkVZlaIoq5ZFWZWiKKuWR3mVwiirlqek4+H35bYwIg+q999/n+DgYBwdHVmzZg3z5s3Ld7mRiFgO5VXEOiirItZBWRWxDsqqiHVQVh8cGlwXKYUdO3YwceJELl68SIMGDZg6dSphYWHl3S0RKYTyKmIdlFUR66CsilgHZVXEOiirDw4NrouUwpIlS8q7CyJSQsqriHVQVkWsg7IqYh2UVRHroKw+OGzKuwMiIiIiIiIiIiIiItZGg+siIiIiIiIiIiIiIqWkwXURERERERERERERkVIq1T3Xk5KSyMzMvF99sWgpKSnAw70ORKyBsipiHZRVEeugrIpYB2VVxHooryLW4ejRoyUqZzCZTKbiCm3bto3WrVuTk5Nzzx2zZgYbA6bcYleXiJQzGxsbcnNzy7sbIlIMZVXEOiirItZBWRWxHsqriHWwtbVly5YttGrVqsgyJfrlur29PTk5OSQkJODl5VVmHbQmSUlJjBgxgj4z++BqdC3v7ohIETK+ymDN2DUP9f5KxBrkHVeVVRHLpqyKWAdlVcR6KK8i1iEzM5M+ffpgb29/x3Klui2Ml5cXfn5+99Qxa5V3qY6r0RV3H/dy7o2IFOXMd2eAh3t/JWIN8o6ryqqIZVNWRayDsipiPZRXkQeLHmgqIiIiIiIiIiIiIlJKGlwXERERERERERERESklDa6LiIiIiIiIiIiIiJSSBtdFREREREREREREREpJg+vywBtUbRD7Vu8r724AltUXkQfJxo0bMRgMnDt3rry7YlF9EbE0lpQPS+qLiKWxpHxYUl9ELI0l5cOS+iJiaSwpH5bUlwdFmQyu9+vXD4PBwPjx4/NNX7lyJQaDoSyauK/Cw8MxGAxMmTKlvLvy0Du64ygR1SP4pNcnZVZnTGYM3kHeZVafyIOgLPfbHh4epdp/xsbGYmtry6RJk0rVzp08/fTTZGVl4eLiUmZ1ilgCZVXEOiirItZBWRWxDsqqWJMy++W6g4MDEyZMIDs7u6yqBODatWtlWt/tVqxYwTfffEPt2rXvaztSMtsTttO6f2sObzvM+azzZVKns6szdvZ2ZVKXyIPkfu23izN79myGDh3K7Nmzy6zOihUr4ubmZhVf6IqUlrIqYh2UVRHroKyKWAdlVaxFmQ2uBwUF4ebmRmxsbJFlRo0aha+vb75pU6ZMwcPDw/y+X79+vPTSS4wdO5batWvj6ekJwPTp02nUqBEODg64urrSo0cP8zK5ubnExsZSv359KlWqhI+PD0uXLi22z6dOnWLAgAEsWLCAChUqlO4DS5m7+utVdq/cTcDrAXgHe7Nj4Q7zvEvnLvHpG5/ybqN3iaodxZgWY9i+YDsAN67dYOnQpYz0GklkrUjee+I91v1znXnZ22/FcnT7USYGTiSyViSTn53MvtX7GFRtECfTTwJw6OtDDKo2iO82fcfkZycT9VgUUzpM4cyhM/n6m56Uzvtt3yeyViSjm41m7YS15NzIMc//8fCPTO08lchakcQ+FcvBDQfvy3oTuVsl2W8DLFu2jCZNmmBvb4+HhweTJ082z2vbti3Hjx8nIiICg8FQ7MnCpk2buHz5MjExMVy4cIGtW7fmm793717atWuHk5MTzs7ONG/enNTUVACOHz9Oly5dqFq1Ko6OjjRp0oSkpCSg8EvbZs2ahbu7O4888gjdunUjLi6OKlWqmOfnHZM+/fRTPDw8cHFxoXfv3ly8eNFcpiTHl6SkJIxGI5UqVaJdu3YcO3bsjutApLSUVWVVrIOyqqyKdVBWlVWxDsqqsmotymxw3dbWlnHjxjFt2jROnjx5T3WtX7+egwcPsm7dOhITE0lNTWXgwIHExMRw8OBB1q5dS2BgoLl8bGws8+fPZ8aMGezfv5+IiAj69OnDpk2bimwjNzeX0NBQoqKiaNKkyT31V8rG7pW7qdmoJq6NXGnRswXbF2zHZDIBkDQuidMHT/PmkjcZ9s0w/vz+n3F81BGAzTM38+2ab+k7uy/v7HiH0E9CqVa3WqFtXLlwhVl/mUVt79pEboik0/BOfPHeF4WWXT1mNV1Hd2XI+iHY2NmwaMAi87zD2w6z4K8LCHwzkGHbhtEzric7Fu5g3eSbg/q5ubnMfnU2dhXtiFgXQc+4nkW2I1JeSrLfTktLo2fPnvTu3Zv09HRGjRrFiBEjmDt3LgDLly+nTp06xMTEkJWVRVZW1h3bjI+PJyQkhAoVKhASEkJ8fHy++a+88gp16tRh586dpKWlMWzYMPOXn2+99RZXr15l8+bNpKenM2HCBCpXrlxoOykpKYSHh/P222+zZ88egoODGTt2bIFyhw8fZuXKlSQmJpKYmMimTZvyXXpY3PHlhx9+4OWXX6ZLly7s2bOHsLAwhg0bdsd1IFJayqqyKtZBWVVWxTooq8qqWAdlVVm1FmV6r4xu3brh6+tLdHR0gQ2wNBwdHfnXv/5FxYoVgZthcHR05IUXXsDJyYl69erRrFkzAK5evcq4ceP46quvaNWqFQANGjTg66+/ZubMmbRp06bQNiZMmICdnR0DBw68635K2dqesJ0Wf24BQOP2jbl84TLfp3xPo2cakX0ym8eaPkbdZnUBeLTuo+blsk9lU6NhDRo81QCDwUA198IH1gHSlqVhMBjoNaUXFRwq4NbYjfNZ51k8aHGBsp3/0ZnHAx4HIGhQEJ/0+oTrV65TwaECX078kvaD2uMf4g9AdY/qPP/O86watYqOf+/Idxu/48yhM4QvDcellou5vpk9Z5bNyhIpI8Xtt+Pi4mjfvj0jRowAwGg0kpGRwaRJk+jXrx/VqlXD1tYWJycn3Nzc7tjWhQsXWLp0Kdu2bQOgT58+tG7dmg8++MB80nHixAmioqJo3LgxAI0aNTIvf+LECbp3707Tpk2Bm/v6okybNo1OnToRGRlp7vfWrVtJTEzMVy43N5e5c+fi5OQEQGhoKOvXr2fs2LElOr58/PHHNGzY0PzrCE9PT/OJlEhZUlaVVbEOyqqyKtZBWVVWxTooq8qqNSizX67nmTBhAvPmzSMzM/Ou62jatKl5YB0gODiYevXq0aBBA0JDQ1mwYAGXLl0C4Pvvv+fSpUsEBwdTuXJl82v+/PkcPny40PrT0tL44IMPmDt3ru53ZCHOHDrD8V3H8evuB4CtnS3NujVje8LNW78EvBbA7hW7mRg4kVXRqzi6/ah5Wf8Qf06ln2Kc/ziWDVvGgeQDRbZz9tBZajepTQWHW7cBqte8XqFlaze5dR9+Z1dnAH796VcATn17iv9M+g9D3YeaX4sHLebC6Qtcu3SNM9+doepjVc0D6wAe/h6lXCsif4w77bczMzMJCAjINy0gIIBDhw6Rk5NToPydLFy4kIYNG+Lj4wOAr68v9erVY/HiW19uDR48mLCwMIKCghg/fny+/fjAgQMZM2YMAQEBREdHs2/fvgJt5Dl48CD+/v75pt3+Hm4+3CbvRAWgVq1anD17FijZ8SUzM5Mnn3wyX515JzYiZU1ZVVbFOiiryqpYB2VVWRXroKwqq5auzAfXAwMD6dChA8OHDy/YmI2N+TYfea5fv16gnKOjY773Tk5O7Nq1i4ULF1KrVi1GjhyJj48P586d49dfbw52rl69mj179phfGRkZRd53fcuWLZw9e5a6detiZ2eHnZ0dx48fZ8iQIfnu/y5/nO0J28m9kUu0dzSDawxmcI3BpMxOYe8Xe7l84TLewd5E742m7V/bcv70eaZ3m86/R/wbAHcfd0buHkmn4Z24fvk6c1+fy5y+c+65TzYVfheP//8OJjc3F4Brv12j47CORG2KMr+Gfj2Ud1Pfxc5BD08V63Kn/XZZio+PZ//+/eb9rp2dHRkZGfkeFDNq1Cj2799P586dSU5OxtvbmxUrVgAQFhbGkSNHCA0NJT09nRYtWjBt2rR76tPtz9swGAzmnN/N8UXkflJWb1FWxZIpq7coq2LJlNVblFWxZMrqLcqqZbovo4Djx4/H19fX/DDSPDVq1OD06dOYTCbzL8b37NlTojrt7OwICgoiKCiI6OhoqlSpQnJyMsHBwdjb23PixIkibwFzu9DQUIKCgvJN69ChA6Ghobz22mslqkPKTs6NHHYu3knX0V1p3K5xvnnxofHsWraLgNcCqFy9Mv4h/viH+JPSKoVVI1fRdXRXABycHfB72Q+/l/3wedGHmX+eyW/Zv+FYNf8XNTUb1ST181RuXL2Bnf3Nzf/ErhOl7nOdJ+pw9tBZajSoUeh8V6Mr2aeyOX/6PC5uN3+9fmznsVK3I/JHKWq/7eXlRUpKSr5pKSkpGI1GbG1tgZtPPi/uVwHp6emkpqayceNGqlW7deumX375hbZt23LgwAHzpXVGoxGj0UhERAQhISHMmTOHbt26AeDu7k54eDjh4eEMHz6cWbNmMWDAgALteXp6snPnznzTbn9fHG9v72KPL15eXqxatSrftG+++aZU7YiUhrJakLIqlkhZLUhZFUukrBakrIolUlYLUlYtx30ZXG/atCmvvPIKU6dOzTe9bdu2/Pjjj0ycOJEePXqwdu1a1qxZg7Oz8x3rS0xM5MiRIwQGBlK1alWSkpLIzc3F09MTJycnIiMjiYiIIDc3l2eeeYbz58+TkpKCs7Mzffv2LVDfo48+yqOPPppvWoUKFXBzcysQVLn/9n+5n0vnLvFU6FNUcq6Ub94TXZ7gm4RvOJ91Hndfd9wau3Hj6g0yvszA1egKwIaPNuDs5kydpnUw2BjY+++9OLs6U8mlUoG2mndvzuoxq1kcsZj2b7cn+2Q2yR8mA5TqFkHPRT3HrJBZVK1TFZ8XfTDYGPjvt/8l60AWnd/tjLGtkZoNa/LZ3z7jxZgXuXLxCkljk+5hLYncX0Xtt4cMGULLli0ZPXo0vXr1Ytu2bXz44YdMnz7dXMbDw4PNmzfTu3dv7O3tqV69eoH64+Pj8ff3z/cw6jwtW7YkPj6emJgYoqKi6NGjB/Xr1+fkyZPs3LmT7t27AzBo0CA6deqE0WgkOzubDRs24OXlVejnGTBgAIGBgcTFxdGlSxeSk5NZs2ZNqXJekuNLeHg4kydPJioqirCwMNLS0swPzxG5H5TVgpRVsUTKakHKqlgiZbUgZVUskbJakLJqOcr8tjB5YmJizJcq5PHy8mL69Ol89NFH+Pj4sGPHDvPN+++kSpUqLF++nGeffRYvLy9mzJjBwoULadKkCQCjR49mxIgRxMbG4uXlRceOHVm9ejX169e/L59Nytb2hO14tvEsMLAO4NPFhx92/4CNnQ2JMYlMbD2RaS9Mw2BroG/8zS9OHCo7kDw1mcntJxPXPo5ffviFNxa/gY1Nwc3bwdmB/p/151T6KSa1mUTS2CQ6DO0AYP4le0l4tfei/8L+HNxwkLigOKY8N4WNH2+kWp2b33Da2Njw+qevc/3KdeKC4lj09iKef/f5u1k9In+Ywvbbfn5+LFmyhEWLFvGnP/2JkSNHEhMTQ79+/fItd+zYMRo2bEiNGgWv5rh27RoJCQnmk47bde/enfnz52NjY8PPP//Mq6++itFopGfPnnTq1In33nsPgJycHN566y3zft5oNOY7afq9gIAAZsyYQVxcHD4+Pqxdu5aIiAgcHBxKtU6KO77UrVuXZcuWsXLlSnx8fJgxYwbjxo0rVRsipaWsFqSsiiVSVgtSVsUSKasFKatiiZTVgpRVy2Aw3X4T9ELs2rWL5s2bk5aWhp+f3x/RL4uzYMEC+vTpw5ANQ3D3cS/v7kgZSv08lYX/u5DYY7FUrFSx+AXEoqV+nkrCmwkP9f5KCte/f38OHDjAli1byrsrwq3jqrIqt1NWLYuyKkVRVi2LsipFUVYtj/IqhVFWLU9Jx8P15EV56OxYtIPqHtVxqeXCqW9P8cWoL/B9yVcD6yIPmPfff5/g4GAcHR1Zs2YN8+bNK/KXAyJSfpRVEeugrIpYB2VVxDooqw8ODa7LQ+fi2YusiV3DxbMXcXZ1xrerL53/0bm8uyUiZWzHjh1MnDiRixcv0qBBA6ZOnUpYWFh5d0tEbqOsilgHZVXEOiirItZBWX1waHBdHjrtB7an/cD25d0NEbnPlixZUt5dEJESUFZFrIOyKmIdlFUR66CsPjju2wNNRUREREREREREREQeVBpcFxEREREREREREREpJQ2ui4iIiIiIiIiIiIiUUqnuuZ6UlERmZub96otFS0lJASDjqwzOfHemnHsjIkU5sv0I8HDvr0SsQd5xVVkVsWzKqoh1UFZFrIfyKmIdjh49WqJyBpPJZCqu0LZt22jdujU5OTn33DFrZmNjQ25ubnl3Q0SKYbAxYMotdtcmIuVMx1UR66CsilgHZVXEeiivItbB1taWLVu20KpVqyLLlOiX6/b29uTk5JCQkICXl1eZddCaJCUlMWLEiId6HYhYg7ys9pnZB1eja3l3R0SKkPFVBmvGrtFxVcTC6RxYxDooqyLWQ3kVsQ6ZmZn06dMHe3v7O5Yr1W1hvLy88PPzu6eOWau8S3Ue5nUgYg3ysupqdMXdx72ceyMiRcm7xZqOqyKWTefAItZBWRWxHsqryINFDzQVERERERERERERESklDa6LiIiIiIiIiIiIiJSSBtdFREREREREREREREpJg+siRdi4cSMGg4Fz586Vd1csqi8i98ugaoPYt3pfeXcDsKy+iDxILOl4Zkl9EbE0lpQPS+qLiKWxpHxYUl9ELI0l5cOS+vKgKJPB9X79+mEwGBg/fny+6StXrsRgMJRFE2Uur8+/f3Xs2LG8u2XVynI78PDwYMqUKSUuHxsbi62tLZMmTSpVO3fy9NNPk5WVhYuLS5nVKfKgOLrjKBHVI/ik1ydlVmdMZgzeQd5lVp/Ig0DHVhHroKyKWAdlVcQ6KKtiTcrsl+sODg5MmDCB7OzssqoSgGvXrpVpfb/XsWNHsrKyzK+FCxfet7YeFvdrOyjO7NmzGTp0KLNnzy6zOitWrIibm5vFfkEkUp62J2yndf/WHN52mPNZ58ukTmdXZ+zs7cqkLpEHiY6tItZBWRWxDsqqiHVQVsValNngelBQEG5ubsTGxhZZZtSoUfj6+uabNmXKFDw8PMzv+/Xrx0svvcTYsWOpXbs2np6eAEyfPp1GjRrh4OCAq6srPXr0MC+Tm5tLbGws9evXp1KlSvj4+LB06dJi+2xvb4+bm5v5VbVq1dJ9aCmgJNsBwLJly2jSpAn29vZ4eHgwefJk87y2bdty/PhxIiIizFcV3MmmTZu4fPkyMTExXLhwga1bt+abv3fvXtq1a4eTkxPOzs40b96c1NRUAI4fP06XLl2oWrUqjo6ONGnShKSkJKDwS2VmzZqFu7s7jzzyCN26dSMuLo4qVaqY5+dt459++ikeHh64uLjQu3dvLl68aC5Tku01KSkJo9FIpUqVaNeuHceOHbvjOhD5I1399Sq7V+4m4PUAvIO92bFwh3nepXOX+PSNT3m30btE1Y5iTIsxbF+wHYAb126wdOhSRnqNJLJWJO898R7r/rnOvOztt2I5uv0oEwMnElkrksnPTmbf6n0MqjaIk+knATj09SEGVRvEd5u+Y/Kzk4l6LIopHaZw5tCZfP1NT0rn/bbvE1krktHNRrN2wlpybuSY5/94+Eemdp5KZK1IYp+K5eCGg/dlvYncLR1bdWwV66CsKqtiHZRVZVWsg7KqrFqLMhtct7W1Zdy4cUybNo2TJ0/eU13r16/n4MGDrFu3jsTERFJTUxk4cCAxMTEcPHiQtWvXEhgYaC4fGxvL/PnzmTFjBvv37yciIoI+ffqwadOmO7azceNGatasiaenJ3/961/5+eef76nfUrLtIC0tjZ49e9K7d2/S09MZNWoUI0aMYO7cuQAsX76cOnXqEBMTY76q4E7i4+MJCQmhQoUKhISEEB8fn2/+K6+8Qp06ddi5cydpaWkMGzaMChUqAPDWW29x9epVNm/eTHp6OhMmTKBy5cqFtpOSkkJ4eDhvv/02e/bsITg4mLFjxxYod/jwYVauXEliYiKJiYls2rQp36VMxW2vP/zwAy+//DJdunRhz549hIWFMWzYsDuuA5E/0u6Vu6nZqCaujVxp0bMF2xdsx2QyAZA0LonTB0/z5pI3GfbNMP78/p9xfNQRgM0zN/Ptmm/pO7sv7+x4h9BPQqlWt1qhbVy5cIVZf5lFbe/aRG6IpNPwTnzx3heFll09ZjVdR3dlyPoh2NjZsGjAIvO8w9sOs+CvCwh8M5Bh24bRM64nOxbuYN3km4P6ubm5zH51NnYV7YhYF0HPuJ5FtiNSXnRs1bFVrIOyqqyKdVBWlVWxDsqqsmotyvT6+27duuHr60t0dHSBDbA0HB0d+de//kXFihWBm2FwdHTkhRdewMnJiXr16tGsWTMArl69yrhx4/jqq69o1aoVAA0aNODrr79m5syZtGnTptA2OnbsyMsvv0z9+vU5fPgw77zzDp06dWLbtm3Y2tredd+l+O0gLi6O9u3bM2LECACMRiMZGRlMmjSJfv36Ua1aNWxtbXFycsLNze2ObV24cIGlS5eybds2APr06UPr1q354IMPzDuxEydOEBUVRePGjQFo1KiRefkTJ07QvXt3mjZtCtzcdooybdo0OnXqRGRkpLnfW7duJTExMV+53Nxc5s6di5OTEwChoaGsX7+esWPHlmh7/fjjj2nYsKH521ZPT0/zjlnEEmxP2E6LP7cAoHH7xly+cJnvU76n0TONyD6ZzWNNH6Nus7oAPFr3UfNy2aeyqdGwBg2eaoDBYKCae+ED6wBpy9IwGAz0mtKLCg4VcGvsxvms8ywetLhA2c7/6MzjAY8DEDQoiE96fcL1K9ep4FCBLyd+SftB7fEP8Qegukd1nn/neVaNWkXHv3fku43fcebQGcKXhuNSy8Vc38yeM8tmZYmUER1bdWwV66CsKqtiHZRVZVWsg7KqrFqDMvvlep4JEyYwb948MjMz77qOpk2bmgfWAYKDg6lXrx4NGjQgNDSUBQsWcOnSJQC+//57Ll26RHBwMJUrVza/5s+fz+HDh4tso3fv3rz44os0bdqUl156icTERHbu3MnGjRvvut9yy522g8zMTAICAvJNCwgI4NChQ+Tk5BQofycLFy6kYcOG+Pj4AODr60u9evVYvPjWANzgwYMJCwsjKCiI8ePH59suBg4cyJgxYwgICCA6Opp9+/YVaCPPwYMH8ff3zzft9vdw82EZeTs+gFq1anH27FmgZNtrZmYmTz75ZL4683aUIuXtzKEzHN91HL/ufgDY2tnSrFsztifcvPVLwGsB7F6xm4mBE1kVvYqj24+al/UP8edU+inG+Y9j2bBlHEg+UGQ7Zw+dpXaT2lRwqGCeVq95vULL1m5S2/xvZ1dnAH796VcATn17iv9M+g9D3YeaX4sHLebC6Qtcu3SNM9+doepjVc0D6wAe/h6lXCsifwwdW3VsFeugrCqrYh2UVWVVrIOyqqxaujIfXA8MDKRDhw4MHz68YGM2NuZbB+S5fv16gXKOjo753js5ObFr1y4WLlxIrVq1GDlyJD4+Ppw7d45ff705gLJ69Wr27NljfmVkZJTovut5GjRoQPXq1fn+++9LvIwU7U7bQVmKj49n//792NnZmV8ZGRn5HjwxatQo9u/fT+fOnUlOTsbb25sVK1YAEBYWxpEjRwgNDSU9PZ0WLVowbdq0e+pT3iVBeQwGA7m5uQBltr2KlJftCdvJvZFLtHc0g2sMZnCNwaTMTmHvF3u5fOEy3sHeRO+Npu1f23L+9Hmmd5vOv0f8GwB3H3dG7h5Jp+GduH75OnNfn8ucvnPuuU82FX53KPv/W+jlZe7ab9foOKwjUZuizK+hXw/l3dR3sXPQw1PFuujYeouOrWLJlNVblFWxZMrqLcqqWDJl9RZl1TLdl5GF8ePH4+vra34YaZ4aNWpw+vRpTCaT+SECe/bsKVGddnZ2BAUFERQURHR0NFWqVCE5OZng4GDs7e05ceJEkbeAKYmTJ0/y888/U6tWrbuuQ/Irajvw8vIiJSUl37SUlBSMRqP5ljwVK1Ys9lvG9PR0UlNT2bhxI9Wq3bq9xC+//ELbtm05cOCA+VIdo9GI0WgkIiKCkJAQ5syZQ7du3QBwd3cnPDyc8PBwhg8fzqxZsxgwYECB9jw9Pdm5c2e+abe/L463t3ex26uXlxerVq3KN+2bb74pVTsi90POjRx2Lt5J19Fdadyucb558aHx7Fq2i4DXAqhcvTL+If74h/iT0iqFVSNX0XV0VwAcnB3we9kPv5f98HnRh5l/nslv2b/hWDX/l6o1G9Uk9fNUbly9gZ39zUPViV0nSt3nOk/U4eyhs9RoUKPQ+a5GV7JPZXP+9Hlc3G7+ev3YzmOlbkfkj6Jja0E6toolUlYLUlbFEimrBSmrYomU1YKUVctxXwbXmzZtyiuvvMLUqVPzTW/bti0//vgjEydOpEePHqxdu5Y1a9bg7Ox8x/oSExM5cuQIgYGBVK1alaSkJHJzc/H09MTJyYnIyEgiIiLIzc3lmWee4fz586SkpODs7Ezfvn0L1Pfrr7/y3nvv0b17d9zc3Dh8+DBDhw7l8ccfp0OHDmW6Lh5mRW0HQ4YMoWXLlowePZpevXqxbds2PvzwQ6ZPn24u4+HhwebNm+nduzf29vZUr169QP3x8fH4+/vne7htnpYtWxIfH09MTAxRUVH06NGD+vXrc/LkSXbu3En37t0BGDRoEJ06dcJoNJKdnc2GDRvw8vIq9PMMGDCAwMBA4uLi6NKlC8nJyaxZs6bYp03/Xkm21/DwcCZPnkxUVBRhYWGkpaWZH8YhUp72f7mfS+cu8VToU1RyrpRv3hNdnuCbhG84n3Ued1933Bq7cePqDTK+zMDV6ArAho824OzmTJ2mdTDYGNj77704uzpTyaVSgbaad2/O6jGrWRyxmPZvtyf7ZDbJHyYDlCpzz0U9x6yQWVStUxWfF30w2Bj477f/JetAFp3f7YyxrZGaDWvy2d8+48WYF7ly8QpJY5PuYS2J3F86thakY6tYImW1IGVVLJGyWpCyKpZIWS1IWbUcZX5bmDwxMTHmSxXyeHl5MX36dD766CN8fHzYsWOH+eb9d1KlShWWL1/Os88+i5eXFzNmzGDhwoU0adIEgNGjRzNixAhiY2Px8vKiY8eOrF69mvr16xdan62tLfv27ePFF1/EaDTyP//zPzRv3pwtW7Zgb29/7x9ezArbDvz8/FiyZAmLFi3iT3/6EyNHjiQmJoZ+/frlW+7YsWM0bNiQGjUK/uL02rVrJCQkmHdit+vevTvz58/HxsaGn3/+mVdffRWj0UjPnj3p1KkT7733HgA5OTm89dZb5u3GaDTm2wn/XkBAADNmzCAuLg4fHx/Wrl1LREQEDg4OpVonxW2vdevWZdmyZaxcuRIfHx9mzJjBuHHjStWGyP2wPWE7nm08CwysA/h08eGH3T9gY2dDYkwiE1tPZNoL0zDYGugbf/NLTofKDiRPTWZy+8nEtY/jlx9+4Y3Fb2BjU/BQ5ODsQP/P+nMq/RST2kwiaWwSHYbe/PIz75fsJeHV3ov+C/tzcMNB4oLimPLcFDZ+vJFqdW7+GsHGxobXP32d61euExcUx6K3F/H8u8/fzeoR+cPo2FqQjq1iiZTVgpRVsUTKakHKqlgiZbUgZdUyGEy33wS9ELt27aJ58+akpaXh5+f3R/TL4ixYsIA+ffo81OtACurfvz8HDhxgy5Yt5d0V+X95WR2yYQjuPu7l3R0pQ6mfp7LwfxcSeyyWipUqFr+AWLTUz1NJeDNBx1UpQMdWy6JzYCmKsmpZlFUpirJqeZRXKYyyanlKOh6up7mJlML7779PcHAwjo6OrFmzhnnz5hX5TaSI3Jsdi3ZQ3aM6LrVcOPXtKb4Y9QW+L/lqYF3kAaNjq4h1UFZFrIOyKmIdlNUHhwbXRUphx44dTJw4kYsXL9KgQQOmTp1KWFhYeXdL5IF08exF1sSu4eLZizi7OuPb1ZfO/+hc3t0SkTKmY6uIdVBWRayDsipiHZTVB4cG10VKYcmSJeXdBZGHRvuB7Wk/sH15d0NE7jMdW0Wsg7IqYh2UVRHroKw+OO7bA01FRERERERERERERB5UGlwXERERERERERERESklDa6LiIiIiIiIiIiIiJRSqe65npSURGZm5v3qi0VLSUkBHu51IGIN8rKa8VUGZ747U869EZGiHNl+BNBxVcTS6RxYxDooqyLWQ3kVsQ5Hjx4tUTmDyWQyFVdo27ZttG7dmpycnHvumDWzsbEhNze3vLshIsVQVkWsg8HGgCm32NMQESlnOq6KWAdlVcR6KK8i1sHW1pYtW7bQqlWrIsuU6Jfr9vb25OTkkJCQgJeXV5l10JokJSUxYsSIh3odiFgDZVXEOuRltc/MPrgaXcu7OyJShIyvMlgzdo2OqyIWTufAItZDeRWxDpmZmfTp0wd7e/s7livVbWG8vLzw8/O7p45Zq7xLdR7mdSBiDZRVEeuQl1VXoyvuPu7l3BsRKUreLdZ0XBWxbDoHFrEeyqvIg0UPNBURERERERERERERKSUNrouIiIiIiIiIiIiIlJIG10VERERERERERERESkmD6yJF2LhxIwaDgXPnzpV3VyyqLyKWyJIyYkl9EbkfBlUbxL7V+8q7G4Bl9UXkQWJJxzJL6ouIpbGkfFhSX0QsjSXlw5L68qAok8H1fv36YTAYGD9+fL7pK1euxGAwlEUT90VmZiYvvvgiLi4uODo60rJlS06cOFHe3bJaZbkdeHh4MGXKlBKXj42NxdbWlkmTJpWqnTt5+umnycrKwsXFpczqFLEUyqvIw+HojqNEVI/gk16flFmdMZkxeAd5l1l9Ig8CHVdFrIOyKmIdlFWxJmX2y3UHBwcmTJhAdnZ2WVUJwLVr18q0vjyHDx/mmWeeoXHjxmzcuJF9+/YxYsQIHBwc7kt7D4v7tR0UZ/bs2QwdOpTZs2eXWZ0VK1bEzc3Nor8gErkXyqvIg297wnZa92/N4W2HOZ91vkzqdHZ1xs7erkzqEnmQ6LgqYh2UVRHroKyKtSizwfWgoCDc3NyIjY0tssyoUaPw9fXNN23KlCl4eHiY3/fr14+XXnqJsWPHUrt2bTw9PQGYPn06jRo1wsHBAVdXV3r06GFeJjc3l9jYWOrXr0+lSpXw8fFh6dKld+zvu+++y/PPP8/EiRNp1qwZDRs25MUXX6RmzZql//BiVpLtAGDZsmU0adIEe3t7PDw8mDx5snle27ZtOX78OBERERgMhmJ3Pps2beLy5cvExMRw4cIFtm7dmm/+3r17adeuHU5OTjg7O9O8eXNSU1MBOH78OF26dKFq1ao4OjrSpEkTkpKSgMIvlZk1axbu7u488sgjdOvWjbi4OKpUqWKen7eNf/rpp3h4eODi4kLv3r25ePGiuUxJttekpCSMRiOVKlWiXbt2HDt27I7rQORuKK/KqzzYrv56ld0rdxPwegDewd7sWLjDPO/SuUt8+sanvNvoXaJqRzGmxRi2L9gOwI1rN1g6dCkjvUYSWSuS9554j3X/XGde9vZbsRzdfpSJgROJrBXJ5Gcns2/1PgZVG8TJ9JMAHPr6EIOqDeK7Td8x+dnJRD0WxZQOUzhz6Ey+/qYnpfN+2/eJrBXJ6GajWTthLTk3cszzfzz8I1M7TyWyViSxT8VycMPB+7LeRO6Wjqs6rop1UFaVVbEOyqqyai3KbHDd1taWcePGMW3aNE6ePHlPda1fv56DBw+ybt06EhMTSU1NZeDAgcTExHDw4EHWrl1LYGCguXxsbCzz589nxowZ7N+/n4iICPr06cOmTZsKrT83N5fVq1djNBrp0KEDNWvW5Mknn2TlypX31G8p2XaQlpZGz5496d27N+np6YwaNYoRI0Ywd+5cAJYvX06dOnWIiYkhKyuLrKysO7YZHx9PSEgIFSpUICQkhPj4+HzzX3nlFerUqcPOnTtJS0tj2LBhVKhQAYC33nqLq1evsnnzZtLT05kwYQKVK1cutJ2UlBTCw8N5++232bNnD8HBwYwdO7ZAucOHD7Ny5UoSExNJTExk06ZN+S5lKm57/eGHH3j55Zfp0qULe/bsISwsjGHDht1xHYjcDeVVeZUH2+6Vu6nZqCaujVxp0bMF2xdsx2QyAZA0LonTB0/z5pI3GfbNMP78/p9xfNQRgM0zN/Ptmm/pO7sv7+x4h9BPQqlWt1qhbVy5cIVZf5lFbe/aRG6IpNPwTnzx3heFll09ZjVdR3dlyPoh2NjZsGjAIvO8w9sOs+CvCwh8M5Bh24bRM64nOxbuYN3km4P6ubm5zH51NnYV7YhYF0HPuJ5FtiNSXnRc1XFVrIOyqqyKdVBWlVVrUabX9Hbr1g1fX1+io6MLbICl4ejoyL/+9S8qVqwI3AyDo6MjL7zwAk5OTtSrV49mzZoBcPXqVcaNG8dXX31Fq1atAGjQoAFff/01M2fOpE2bNgXqP3v2LL/++ivjx49nzJgxTJgwgbVr1/Lyyy+zYcOGQpeRkituO4iLi6N9+/aMGDECAKPRSEZGBpMmTaJfv35Uq1YNW1tbnJyccHNzu2NbFy5cYOnSpWzbtg2APn360Lp1az744APzTuzEiRNERUXRuHFjABo1amRe/sSJE3Tv3p2mTZsCN7edokybNo1OnToRGRlp7vfWrVtJTEzMVy43N5e5c+fi5OQEQGhoKOvXr2fs2LEl2l4//vhjGjZsaP621dPT07xjFilryqvyKg+u7QnbafHnFgA0bt+Yyxcu833K9zR6phHZJ7N5rOlj1G1WF4BH6z5qXi77VDY1GtagwVMNMBgMVHMvfGAdIG1ZGgaDgV5TelHBoQJujd04n3WexYMWFyjb+R+deTzgcQCCBgXxSa9PuH7lOhUcKvDlxC9pP6g9/iH+AFT3qM7z7zzPqlGr6Pj3jny38TvOHDpD+NJwXGq5mOub2XNm2awskTKi46qOq2IdlFVlVayDsqqsWoMy++V6ngkTJjBv3jwyMzPvuo6mTZuaB9YBgoODqVevHg0aNCA0NJQFCxZw6dIlAL7//nsuXbpEcHAwlStXNr/mz5/P4cOHC60/NzcXgK5duxIREYGvry/Dhg3jhRdeYMaMGXfdb7nlTttBZmYmAQEB+aYFBARw6NAhcnJyCpS/k4ULF9KwYUN8fHwA8PX1pV69eixefOuP+sGDBxMWFkZQUBDjx4/Pt10MHDiQMWPGEBAQQHR0NPv27SvQRp6DBw/i7++fb9rt7+HmwzLydnwAtWrV4uzZs0DJttfMzEyefPLJfHXm7ShF7gflVXmVB8+ZQ2c4vus4ft39ALC1s6VZt2ZsT7h565eA1wLYvWI3EwMnsip6FUe3HzUv6x/iz6n0U4zzH8eyYcs4kHygyHbOHjpL7Sa1qeBQwTytXvN6hZat3aS2+d/Ors4A/PrTrwCc+vYU/5n0H4a6DzW/Fg9azIXTF7h26RpnvjtD1ceqmgfWATz8PUq5VkT+GDqu6rgq1kFZVVbFOiiryqqlK/PB9cDAQDp06MDw4cMLNmZjY74cOc/169cLlHN0dMz33snJiV27drFw4UJq1arFyJEj8fHx4dy5c/z6680/ylavXs2ePXvMr4yMjCLvu169enXs7Ozw9vbON93Ly4sTJ06U6vNK4e60HZSl+Ph49u/fj52dnfmVkZGR78ETo0aNYv/+/XTu3Jnk5GS8vb1ZsWIFAGFhYRw5coTQ0FDS09Np0aIF06ZNu6c+5V0SlMdgMJi/0Lmb7VXkflNeb1Fe5UGxPWE7uTdyifaOZnCNwQyuMZiU2Sns/WIvly9cxjvYm+i90bT9a1vOnz7P9G7T+feIfwPg7uPOyN0j6TS8E9cvX2fu63OZ03fOPffJpsLvTjv//3aXeXm79ts1Og7rSNSmKPNr6NdDeTf1Xewc9PBUsS46rt6i46pYMmX1FmVVLJmyeouyapnuy18r48ePx9fX1/ww0jw1atTg9OnTmEwm80ME9uzZU6I67ezsCAoKIigoiOjoaKpUqUJycjLBwcHY29tz4sSJEt/OpWLFirRs2ZKDB/M/COu7776jXr3Cf20lpVfUduDl5UVKSkq+aSkpKRiNRmxtbYGb/0fFfcuYnp5OamoqGzdupFq1W5es//LLL7Rt25YDBw6YL9UxGo0YjUYiIiIICQlhzpw5dOvWDQB3d3fCw8MJDw9n+PDhzJo1iwEDBhRoz9PTk507d+abdvv74nh7exe7vXp5ebFq1ap807755ptStSNSWsprQcqrWKucGznsXLyTrqO70rhd43zz4kPj2bVsFwGvBVC5emX8Q/zxD/EnpVUKq0auouvorgA4ODvg97Iffi/74fOiDzP/PJPfsn/DsWr+H0DUbFST1M9TuXH1Bnb2N08rT+wq/Q8V6jxRh7OHzlKjQY1C57saXck+lc350+dxcbv56/VjO4+Vuh2RP4qOqwXpuCqWSFktSFkVS6SsFqSsWo77MrjetGlTXnnlFaZOnZpvetu2bfnxxx+ZOHEiPXr0YO3ataxZswZnZ+c71peYmMiRI0cIDAykatWqJCUlkZubi6enJ05OTkRGRhIREUFubi7PPPMM58+fJyUlBWdnZ/r27VtonVFRUfTq1YvAwEDatWvH2rVr+eKLL9i4cWNZrYaHXlHbwZAhQ2jZsiWjR4+mV69ebNu2jQ8//JDp06eby3h4eLB582Z69+6Nvb091atXL1B/fHw8/v7++R5um6dly5bEx8cTExNDVFQUPXr0oH79+pw8eZKdO3fSvXt3AAYNGkSnTp0wGo1kZ2ezYcMGvLy8Cv08AwYMIDAwkLi4OLp06UJycjJr1qwp9mnTv1eS7TU8PJzJkycTFRVFWFgYaWlp5odxiNwvymtByqtYq/1f7ufSuUs8FfoUlZwr5Zv3RJcn+CbhG85nncfd1x23xm7cuHqDjC8zcDW6ArDhow04uzlTp2kdDDYG9v57L86uzlRyqVSgrebdm7N6zGoWRyym/dvtyT6ZTfKHyQClyttzUc8xK2QWVetUxedFHww2Bv777X/JOpBF53c7Y2xrpGbDmnz2t894MeZFrly8QtLYpHtYSyL3l46rBem4KpZIWS1IWRVLpKwWpKxajjK/LUyemJgY86UKeby8vJg+fTofffQRPj4+7Nixw3zz/jupUqUKy5cv59lnn8XLy4sZM2awcOFCmjRpAsDo0aMZMWIEsbGxeHl50bFjR1avXk39+vWLrLNbt27MmDGDiRMn0rRpU/71r3+xbNkynnnmmXv74JJPYduBn58fS5YsYdGiRfzpT39i5MiRxMTE0K9fv3zLHTt2jIYNG1KjRsFfsV27do2EhATzTux23bt3Z/78+djY2PDzzz/z6quvYjQa6dmzJ506deK9994DICcnh7feesu83RiNxnw74d8LCAhgxowZxMXF4ePjw9q1a4mIiMDBwaFU66S47bVu3bosW7aMlStX4uPjw4wZMxg3blyp2hC5G8prQcqrWKPtCdvxbONZYGAdwKeLDz/s/gEbOxsSYxKZ2Hoi016YhsHWQN/4mz9IcKjsQPLUZCa3n0xc+zh++eEX3lj8BjY2BU8bHZwd6P9Zf06ln2JSm0kkjU2iw9AOAOZfspeEV3sv+i/sz8ENB4kLimPKc1PY+PFGqtW5+cshGxsbXv/0da5fuU5cUByL3l7E8+8+fzerR+QPo+NqQTquiiVSVgtSVsUSKasFKauWwWC6/Sbohdi1axfNmzcnLS0NPz+/P6JfFmfBggX06dPnoV4HUlD//v05cOAAW7ZsKe+uyP9TVqUoyqtlycvqkA1DcPdxL+/uSBlK/TyVhf+7kNhjsVSsVLH4BcSipX6eSsKbCTquSgE6rloWnQNLUZRVy6O8SmGUVctT0vFwPSFKpBTef/99goODcXR0ZM2aNcybN6/IbyJFpHwpryJ/jB2LdlDdozoutVw49e0pvhj1Bb4v+WpgXeQBo+OqiHVQVkWsg7L64NDgukgp7Nixg4kTJ3Lx4kUaNGjA1KlTCQsLK+9uiUghlFeRP8bFsxdZE7uGi2cv4uzqjG9XXzr/o3N5d0tEypiOqyLWQVkVsQ7K6oNDg+sipbBkyZLy7oKIlJDyKvLHaD+wPe0Hti/vbojIfabjqoh1UFZFrIOy+uC4bw80FRERERERERERERF5UGlwXURERERERERERESklDS4LiIiIiIiIiIiIiJSShpcFxEREREREREREREppVI90DQpKYnMzMz71ReLlpKSAjzc60DEGiirItYhL6sZX2Vw5rsz5dwbESnKke1HAB1XRSydzoFFrIfyKmIdjh49WqJyBpPJZCqu0LZt22jdujU5OTn33DFrZrAxYMotdnWJSDmzsbEhNze3vLshIsVQVkWsg7IqYh2UVRHrobyKWAdbW1u2bNlCq1atiixTol+u29vbk5OTQ0JCAl5eXmXWQWuSlJTEiBEj6DOzD65G1/LujogUIeOrDNaMXfNQ769ErEHecVVZFbFsyqqIdVBWRayH8ipiHTIzM+nTpw/29vZ3LFeq28J4eXnh5+d3Tx2zVnmX6rgaXXH3cS/n3ohIUfJuL/Ew769ErEHecVVZFbFsyqqIdVBWRayH8iryYNEDTUVERERERERERERESkmD6yIiIiIiIiIiIiIipaTBdRERERERERERERGRUtLgujzwBlUbxL7V+8q7G4Bl9UXkQbJx40YMBgPnzp0r765YVF9ELI0l5cOS+iJiaSwpH5bUFxFLY0n5sKS+iFgaS8qHJfXlQVEmg+v9+vXDYDAwfvz4fNNXrlyJwWAoiybKnMFgKPQ1adKk8u7aQ+3ojqNEVI/gk16flFmdMZkxeAd5l1l9Ig+Cstxve3h4MGXKlBKXj42NxdbWtkz3t08//TRZWVm4uLiUWZ0ilkBZFbEOyqqIdVBWRayDsirWpMx+ue7g4MCECRPIzs4uqyoBuHbtWpnWlycrKyvfa/bs2RgMBrp3735f2pOS2Z6wndb9W3N422HOZ50vkzqdXZ2xs7crk7pEHiT3a79dnNmzZzN06FBmz55dZnVWrFgRNzc3i/1CV+ReKKsi1kFZFbEOyqqIdVBWxVqU2eB6UFAQbm5uxMbGFllm1KhR+Pr65ps2ZcoUPDw8zO/79evHSy+9xNixY6lduzaenp4ATJ8+nUaNGuHg4ICrqys9evQwL5Obm0tsbCz169enUqVK+Pj4sHTp0jv2183NLd/r3//+N+3ataNBgwal//BSJq7+epXdK3cT8HoA3sHe7Fi4wzzv0rlLfPrGp7zb6F2iakcxpsUYti/YDsCNazdYOnQpI71GElkrkveeeI91/1xnXvb2W7Ec3X6UiYETiawVyeRnJ7Nv9T4GVRvEyfSTABz6+hCDqg3iu03fMfnZyUQ9FsWUDlM4c+hMvv6mJ6Xzftv3iawVyehmo1k7YS05N3LM8388/CNTO08lslYksU/FcnDDwfuy3kTuVkn22wDLli2jSZMm2Nvb4+HhweTJk83z2rZty/Hjx4mIiDBfAXQnmzZt4vLly8TExHDhwgW2bt2ab/7evXtp164dTk5OODs707x5c1JTUwE4fvw4Xbp0oWrVqjg6OtKkSROSkpKAwi9tmzVrFu7u7jzyyCN069aNuLg4qlSpYp6fd0z69NNP8fDwwMXFhd69e3Px4kVzmZIcX5KSkjAajVSqVIl27dpx7NixO64DkdJSVpVVsQ7KqrIq1kFZVVbFOiiryqq1KLPBdVtbW8aNG8e0adM4efLkPdW1fv16Dh48yLp160hMTCQ1NZWBAwcSExPDwYMHWbt2LYGBgebysbGxzJ8/nxkzZrB//34iIiLo06cPmzZtKlF7Z86cYfXq1fzP//zPPfVb7s3ulbup2agmro1cadGzBdsXbMdkMgGQNC6J0wdP8+aSNxn2zTD+/P6fcXzUEYDNMzfz7Zpv6Tu7L+/seIfQT0KpVrdaoW1cuXCFWX+ZRW3v2kRuiKTT8E588d4XhZZdPWY1XUd3Zcj6IdjY2bBowCLzvMPbDrPgrwsIfDOQYduG0TOuJzsW7mDd5JuD+rm5ucx+dTZ2Fe2IWBdBz7ieRbYjUl5Kst9OS0ujZ8+e9O7dm/T0dEaNGsWIESOYO3cuAMuXL6dOnTrExMSYrwS6k/j4eEJCQqhQoQIhISHEx8fnm//KK69Qp04ddu7cSVpaGsOGDaNChQoAvPXWW1y9epXNmzeTnp7OhAkTqFy5cqHtpKSkEB4ezttvv82ePXsIDg5m7NixBcodPnyYlStXkpiYSGJiIps2bcp36WFxx5cffviBl19+mS5durBnzx7CwsIYNmzYHdeBSGkpq8qqWAdlVVkV66CsKqtiHZRVZdValOm9Mrp164avry/R0dEFNsDScHR05F//+hcVK1YEbobB0dGRF154AScnJ+rVq0ezZs0AuHr1KuPGjeOrr76iVatWADRo0ICvv/6amTNn0qZNm2LbmzdvHk5OTrz88st33We5d9sTttPizy0AaNy+MZcvXOb7lO9p9Ewjsk9m81jTx6jbrC4Aj9Z91Lxc9qlsajSsQYOnGmAwGKjmXvjAOkDasjQMBgO9pvSigkMF3Bq7cT7rPIsHLS5QtvM/OvN4wOMABA0K4pNen3D9ynUqOFTgy4lf0n5Qe/xD/AGo7lGd5995nlWjVtHx7x35buN3nDl0hvCl4bjUcjHXN7PnzLJZWSJlpLj9dlxcHO3bt2fEiBEAGI1GMjIymDRpEv369aNatWrY2tri5OSEm5vbHdu6cOECS5cuZdu2bQD06dOH1q1b88EHH5hPOk6cOEFUVBSNGzcGoFGjRublT5w4Qffu3WnatCnAHa80mjZtGp06dSIyMtLc761bt5KYmJivXG5uLnPnzsXJyQmA0NBQ1q9fz9ixY0t0fPn4449p2LCh+dcRnp6e5hMpkbKkrCqrYh2UVWVVrIOyqqyKdVBWlVVrUGa/XM8zYcIE5s2bR2Zm5l3X0bRpU/PAOkBwcDD16tWjQYMGhIaGsmDBAi5dugTA999/z6VLlwgODqZy5crm1/z58zl8+HCJ2ps9ezavvPIKDg4Od91nuTdnDp3h+K7j+HX3A8DWzpZm3ZqxPeHmrV8CXgtg94rdTAycyKroVRzdftS8rH+IP6fSTzHOfxzLhi3jQPKBIts5e+gstZvUpoJDBfO0es3rFVq2dpPa5n87uzoD8OtPvwJw6ttT/GfSfxjqPtT8WjxoMRdOX+DapWuc+e4MVR+rah5YB/Dw9yjlWhH5Y9xpv52ZmUlAQEC+aQEBARw6dIicnJwC5e9k4cKFNGzYEB8fHwB8fX2pV68eixff+nJr8ODBhIWFERQUxPjx4/PtxwcOHMiYMWMICAggOjqaffv2FWgjz8GDB/H398837fb3cPPhNnknKgC1atXi7NmzQMmOL5mZmTz55JP56sw7sREpa8qqsirWQVlVVsU6KKvKqlgHZVVZtXRlPrgeGBhIhw4dGD58eMHGbGzMt/nIc/369QLlHB0d8713cnJi165dLFy4kFq1ajFy5Eh8fHw4d+4cv/56c7Bz9erV7Nmzx/zKyMgo9r7rAFu2bOHgwYOEhYWV5mNKGduesJ3cG7lEe0czuMZgBtcYTMrsFPZ+sZfLFy7jHexN9N5o2v61LedPn2d6t+n8e8S/AXD3cWfk7pF0Gt6J65evM/f1uczpO+ee+2RT4Xfx+P/bcuXm5gJw7bdrdBzWkahNUebX0K+H8m7qu9g56OGpYl3utN8uS/Hx8ezfvx87OzvzKyMjI9+DYkaNGsX+/fvp3LkzycnJeHt7s2LFCgDCwsI4cuQIoaGhpKen06JFC6ZNm3ZPfcq7hC+PwWAw5/xejy8iZU1ZvUVZFUumrN6irIolU1ZvUVbFkimrtyirlum+jAKOHz8eX19f88NI89SoUYPTp09jMpnMDxHYs2dPieq0s7MjKCiIoKAgoqOjqVKlCsnJyQQHB2Nvb8+JEydKdAuY28XHx9O8eXPzN1Pyx8u5kcPOxTvpOrorjds1zjcvPjSeXct2EfBaAJWrV8Y/xB//EH9SWqWwauQquo7uCoCDswN+L/vh97IfPi/6MPPPM/kt+zccq+b/oqZmo5qkfp7Kjas3sLO/ufmf2HWi1H2u80Qdzh46S40GNQqd72p0JftUNudPn8fF7eav14/tPFbqdkT+KEXtt728vEhJSck3LSUlBaPRiK2tLXDzyefF/SogPT2d1NRUNm7cSLVqt27d9Msvv9C2bVsOHDhgvrTOaDRiNBqJiIggJCSEOXPm0K1bNwDc3d0JDw8nPDyc4cOHM2vWLAYMGFCgPU9PT3bu3Jlv2u3vi+Pt7V3s8cXLy4tVq1blm/bNN9+Uqh2R0lBWC1JWxRIpqwUpq2KJlNWClFWxRMpqQcqq5bgvg+tNmzbllVdeYerUqfmmt23blh9//JGJEyfSo0cP1q5dy5o1a3B2dr5jfYmJiRw5coTAwECqVq1KUlISubm5eHp64uTkRGRkJBEREeTm5vLMM89w/vx5UlJScHZ2pm/fvkXWe+HCBT7//PN8TxKWP97+L/dz6dwlngp9ikrOlfLNe6LLE3yT8A3ns87j7uuOW2M3bly9QcaXGbgaXQHY8NEGnN2cqdO0DgYbA3v/vRdnV2cquVQq0Fbz7s1ZPWY1iyMW0/7t9mSfzCb5w2SAYp8a/XvPRT3HrJBZVK1TFZ8XfTDYGPjvt/8l60AWnd/tjLGtkZoNa/LZ3z7jxZgXuXLxCkljk+5hLYncX0Xtt4cMGULLli0ZPXo0vXr1Ytu2bXz44YdMnz7dXMbDw4PNmzfTu3dv7O3tqV69eoH64+Pj8ff3z/cw6jwtW7YkPj6emJgYoqKi6NGjB/Xr1+fkyZPs3LmT7t27AzBo0CA6deqE0WgkOzubDRs24OXlVejnGTBgAIGBgcTFxdGlSxeSk5NZs2ZNqXJekuNLeHg4kydPJioqirCwMNLS0swPzxG5H5TVgpRVsUTKakHKqlgiZbUgZVUskbJakLJqOcr8tjB5YmJizJcq5PHy8mL69Ol89NFH+Pj4sGPHDvPN+++kSpUqLF++nGeffRYvLy9mzJjBwoULadKkCQCjR49mxIgRxMbG4uXlRceOHVm9ejX169e/Y72LFi3CZDIREhJy9x9U7tn2hO14tvEsMLAO4NPFhx92/4CNnQ2JMYlMbD2RaS9Mw2BroG/8zS9OHCo7kDw1mcntJxPXPo5ffviFNxa/gY1Nwc3bwdmB/p/151T6KSa1mUTS2CQ6DO0AYP4le0l4tfei/8L+HNxwkLigOKY8N4WNH2+kWp2b33Da2Njw+qevc/3KdeKC4lj09iKef/f5u1k9In+Ywvbbfn5+LFmyhEWLFvGnP/2JkSNHEhMTQ79+/fItd+zYMRo2bEiNGgWv5rh27RoJCQnmk47bde/enfnz52NjY8PPP//Mq6++ivH/2rt/kDbzMIDjjwqVU2gX4bih4XAIOEV0dBQH6XA3OTkqN1gK0vWGc1EQcXDKKlR6WAShg24d3II6HURusQgdWuwUEBxibij3zz+NL6f3vr/4+cxvyEPg+77hIeRXLsfU1FRMTk7GwsJCREQ0m82Ym5v76z5fLpf/9aXpn8bGxqJarcbq6mpUKpXY3d2N+fn5zGdrtHu+lEql2Nraiu3t7ahUKlGtVmNxcTHTe0BWWr1KqxSRVq/SKkWk1au0ShFp9SqtFkNX6/KfoF/j8PAwRkdH4+DgIEZGRv6PuQpnY2Mjpqen4+W7l/G08jTvcbhD+2/24/Xz17H0fikeffOo/QsotP03+/Hqp1cP+n7F9WZnZ+Po6Cj29vbyHoX4+7mqVS7TarFolZtotVi0yk20Wjx65TpaLZ7b7sOdvMiDU/u1FgPfD8ST757Eh98+xNtf3sbwj8MW69BhVlZWYmJiIvr7+2NnZyfW19dv/OUAkB+tQhq0CmnQKqRBq53Dcp0Hp/GpETtLO9H41IjH3z6O4R+G49nPz/IeC7hjtVotlpeXo9FoxODgYKytrcXMzEzeYwGXaBXSoFVIg1YhDVrtHJbrPDjjL8Zj/MV43mMA92xzczPvEYBb0CqkQauQBq1CGrTaOe7tQFMAAAAAAOhUlusAAAAAAJCR5ToAAAAAAGSU6T/X6/X6fc1ReMfHxxER8fH3jzlPAnzN55PPEfGw71eQgj+fq1qFYtMqpEGrkA69Qhpu22hXq9Vqtbvo5OQkhoaG4uzs7D8PlrKu7q5oXbT9uICcdfd0x0XzIu8xgDZ6enqi2WzmPQbQhlYhDVqFdOgV0tDX1xf1ej1KpdKN19xquR7xZcF+enp6Z8Ol6Pz8PHp7e/MeA2hDq5AGrUIatApp0CqkQ6+QhoGBga8u1iMyLNcBAAAAAIAvHGgKAAAAAAAZWa4DAAAAAEBGlusAAAAAAJCR5ToAAAAAAGRkuQ4AAAAAABlZrgMAAAAAQEaW6wAAAAAAkNEfvBxA5KH3SdIAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,2,0]) != (shifts[1,0,1])]\n",
      "Size of CL:  21\n",
      "Size of B:  123\n",
      "Number of Queries:  143\n",
      "Query143: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query144: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query145: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) != (shifts[1,0,0])]\n",
      "Query146: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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8xIkTTa1btzZVq1bN5OTkZGrQoIFpyJAhpl9++cVcpl69eqb//Oc/+Zbz9fU1RUVFmUwmk+no0aMmwLRnzx7zfDc3N9PHH39sfn/lyhVTjx49TFWqVDEB+eb91bJly0xGo9FUsWJFU9OmTU1r1qwp0WcXkyk+Pl5ZLQFldY95/u1mNW9df321bdu2RJ//fqeslpzyusc8/3bzWq9evULzmleXFE1ZLbmyzuqmTZsK3c8HDBhQ5DIffvihqX379qYaNWqYKlasaKpbt65p4MCBpmPHjpnLtG3b1vTmm2/mW65bt2751guYPv/8c/P7P2c5T1hYmOnBBx8sNnubNm0y+fn5mSpWrGhq0KDBLc+Z5Q/Kaskpq5+b399JVgv7DPXq1Sv284vyWlLK6ufm97eb1bZt21r8GeQPJR0LNphMJtPtDMrfb3bv3k2LFi1ITU3F39+/rJtzX/nkk08IDw/np59+omLFimXdHLFyixYtol+/fspqGVBWxRLKatlSXqWklNWypaxKSSmrZUtZFUsor2VHWRVLlHQsWLeFEauVnZ1NZmYmkyZN4vXXX9eBT8RKKasitkN5FbENyqqIbVBWRWyDsip3kx5oKlZrypQpNGnSBA8PD0aNGlXWzRGRIiirIrZDeRWxDcqqiG1QVkVsg7Iqd5MG18VqjR07luvXr7NhwwY9bEzEiimrIrZDeRWxDcqqiG1QVkVsg7Iqd5MG10VERERERERERERELKTBdRERERERERERERERC2lwXURERERERERERETEQg4lLXjixAl++eWXu9kWq5aRkQFAYmKi+d8iYn2SkpIAZVXE2imrIrZBWRWxDcqqiO1QXkVsw9GjR0tUzmAymUzFFTpx4gTe3t5kZ2ffccNsmZ2dHbm5uWXdDBEphrIqYhsMdgZMucWehohIGVO/KmIblFUR26G8itgGe3t7tm3bRuvWrYssU6Jfrv/yyy9kZ2cTHx+Pt7d3qTXQliQmJjJ69Oj7ehuI2AJlVcQ25GW135x+uBvdy7o5IlKE9K/SWTthrfpVESunc2AR26G8itiGjIwM+vXrh6Oj4y3Llfi2MADe3t74+/vfUcNsVd6lOvfzNhCxBcqqiG3Iy6q70R1PX88ybo2IFOXM92cA9asi1k7nwCK2Q3kVKV/0QFMREREREREREREREQtpcF1ERERERERERERExEIaXBcRERERERERERERsZAG10WKsHnzZgwGA+fOnSvrplhVW0SskTVlxJraInI3DK02lG/XfFvWzQCsqy0i5Yk19WXW1BYRa2NN+bCmtohYG2vKhzW1pbwolcH1gQMHYjAYmDRpUr7pq1atwmAwlEYVpW7lypU8/fTTPPjggxgMBvbu3VvWTbJ5pbkfeHl5MX369BKXj4mJwd7enqlTp1pUz6088cQTZGZm4ubmVmrrFLEWyqvI/eHozqOEVw/nw94flto6ozOi8Qn2KbX1iZQH6ldFbIOyKmIblFWxJaX2y3UnJycmT55MVlZWaa0SgGvXrpXq+vL8/vvvPPnkk0yePPmurP9+dbf2g+LMmzePESNGMG/evFJbZ8WKFfHw8LDaL4hE7pTyKlL+Jccn02ZQGw7vOMz5zPOlsk5Xd1ccHB1KZV0i5Yn6VRHboKyK2AZlVWxFqQ2uBwcH4+HhQUxMTJFlxo4di5+fX75p06dPx8vLy/x+4MCBPP/880yYMIHatWvTuHFjAGbNmkWjRo1wcnLC3d2dnj17mpfJzc0lJiaG+vXrU6lSJXx9fVm+fPkt29u/f3/GjBlDcHCw5R9WilSS/QBgxYoVNG3aFEdHR7y8vJg2bZp5Xrt27Th+/Djh4eEYDIZiDz5btmzh8uXLREdHc+HCBbZv355v/r59+2jfvj0uLi64urrSokULUlJSADh+/Dhdu3alatWqODs707RpUxITE4HCL5WZO3cunp6ePPDAA3Tv3p3Y2FiqVKlinp+3j3/yySd4eXnh5uZGnz59uHjxorlMSfbXxMREjEYjlSpVon379hw7duyW20DkdiivyquUb1cvXWXPqj0EvhqIT4gPOxfvNM/LPpfNJ699wluN3iKydiTjW44neVEyADeu3WD5iOWM8R5DRK0I3n70bdb/Z7152b/eiuVo8lGmBE0holYE056axrdrvmVotaGcTDsJwKGvDzG02lC+3/I9056aRuRDkUzvOJ0zh87ka29aYhrvtHuHiFoRjGs+jnWT15FzI8c8/+fDPzOjywwiakUQ83gMBzcdvCvbTeR2qV9Vvyq2QVlVVsU2KKvKqq0otcF1e3t7Jk6cyMyZMzl58uQdrWvDhg0cPHiQ9evXk5CQQEpKCkOGDCE6OpqDBw+ybt06goKCzOVjYmJYuHAhs2fPZv/+/YSHh9OvXz+2bNlypx9LLFSS/SA1NZVevXrRp08f0tLSGDt2LKNHj2b+/PnAzVv21KlTh+joaDIzM8nMzLxlnXFxcfTt25cKFSrQt29f4uLi8s1/6aWXqFOnDrt27SI1NZWRI0dSoUIFAN544w2uXr3K1q1bSUtLY/LkyVSuXLnQepKSkggLC+PNN99k7969hISEMGHChALlDh8+zKpVq0hISCAhIYEtW7bku5SpuP31xx9/5IUXXqBr167s3buX0NBQRo4cecttIHI7lFflVcq3Pav2ULNRTdwbudOyV0uSFyVjMpkASJyYyOmDp3l92euM/GYkL77zIs4POgOwdc5Wvlv7HQPmDeBfO/9F/w/7U61utULruHLhCnP/NpfaPrWJ2BRB51Gd+eLtLwotu2b8GrqN68bwDcOxc7BjyeAl5nmHdxxm0d8XEfR6ECN3jKRXbC92Lt7J+mk3B/Vzc3OZ9/I8HCo6EL4+nF6xvYqsR6SsqF9Vvyq2QVlVVsU2KKvKqq0o1Wt6u3fvjp+fH1FRUQV2QEs4Ozvz0UcfUbFiReBmGJydnXn22WdxcXGhXr16NG/eHICrV68yceJEvvrqK1q3bg1AgwYN+Prrr5kzZw5t27a98w8mFiluP4iNjaVDhw6MHj0aAKPRSHp6OlOnTmXgwIFUq1YNe3t7XFxc8PDwuGVdFy5cYPny5ezYsQOAfv360aZNG959913zQezEiRNERkbSpEkTABo1amRe/sSJE/To0YNmzZoBN/edosycOZPOnTsTERFhbvf27dtJSEjIVy43N5f58+fj4uIC3LxKYsOGDUyYMKFE++sHH3xAw4YNzd+2Nm7c2HxgFiltyqvyKuVXcnwyLV9sCUCTDk24fOEyPyT9QKMnG5F1MouHmj1E3eZ1AXiw7oPm5bJOZVGjYQ0aPN4Ag8FANc/CB9YBUlekYjAY6D29NxWcKuDRxIPzmedZOnRpgbJd/t2FhwMfBiB4aDAf9v6Q61euU8GpAl9O+ZIOQzsQ0DcAgOpe1XnmX8+weuxqOv2zE99v/p4zh84QtjwMt1pu5vXN6TWndDaWSClRv6p+VWyDsqqsim1QVpVVW1Bqv1zPM3nyZBYsWEBGRsZtr6NZs2bmgXWAkJAQ6tWrR4MGDejfvz+LFi0iOzsbgB9++IHs7GxCQkKoXLmy+bVw4UIOHz58x59Hbs+t9oOMjAwCAwPzTQsMDOTQoUPk5OQUKH8rixcvpmHDhvj6+gLg5+dHvXr1WLr0jz/qhw0bRmhoKMHBwUyaNCnffjFkyBDGjx9PYGAgUVFRfPvttwXqyHPw4EECAgLyTfvre7j5sIy8Ax9ArVq1OHv2LFCy/TUjI4PHHnss3zrzDpQid4PyqrxK+XPm0BmO7z6Ofw9/AOwd7GnevTnJ8Tdv/RL4SiB7Pt/DlKAprI5azdHko+ZlA/oGcCrtFBMDJrJi5AoObDxQZD1nD52ldtPaVHCqYJ5Wr0W9QsvWblrb/G9Xd1cALv1yCYBT353if1P/xwjPEebX0qFLuXD6Ateyr3Hm+zNUfaiqeWAdwCvAy8KtInJvqF9Vvyq2QVlVVsU2KKvKqrUr9cH1oKAgOnbsyKhRowpWZmdnvhw5z/Xr1wuUc3Z2zvfexcWF3bt3s3jxYmrVqsWYMWPw9fXl3LlzXLp084+yNWvWsHfvXvMrPT292Puuy91zq/2gNMXFxbF//34cHBzMr/T09HwPnhg7diz79++nS5cubNy4ER8fHz7//HMAQkNDOXLkCP379yctLY2WLVsyc+bMO2pT3iVBeQwGA7m5uQDaX8UqKa9/UF6lvEiOTyb3Ri5RPlEMqzGMYTWGkTQviX1f7OPyhcv4hPgQtS+Kdn9vx/nT55nVfRb/Hf1fADx9PRmzZwydR3Xm+uXrzH91Ph8P+PiO22RX4U+nnf93u8u8vF37/RqdRnYickuk+TXi6xG8lfIWDk56eKrYFvWrf1C/KtZMWf2DsirWTFn9g7Jqne7KXyuTJk3Cz8/P/DDSPDVq1OD06dOYTCbzQwT27t1bonU6ODgQHBxMcHAwUVFRVKlShY0bNxISEoKjoyMnTpzQLWCsTFH7gbe3N0lJSfmmJSUlYTQasbe3B24+Sbm4bxnT0tJISUlh8+bNVKv2xyXrv/32G+3atePAgQPmS3WMRiNGo5Hw8HD69u3Lxx9/TPfu3QHw9PQkLCyMsLAwRo0axdy5cxk8eHCB+ho3bsyuXbvyTfvr++L4+PgUu796e3uzevXqfNO++eYbi+oRsZTyWpDyKrYq50YOu5buotu4bjRp3yTfvLj+cexesZvAVwKpXL0yAX0DCOgbQFLrJFaPWU23cd0AcHJ1wv8Ff/xf8Mf3OV/mvDiH37N+x7lq/h9A1GxUk5TPUrhx9QYOjjdPK0/sPmFxm+s8Woezh85So0GNQue7G93JOpXF+dPncfO4+ev1Y7uOWVyPyL2ifrUg9atijZTVgpRVsUbKakHKqvW4K4PrzZo146WXXmLGjBn5prdr146ff/6ZKVOm0LNnT9atW8fatWtxdXW95foSEhI4cuQIQUFBVK1alcTERHJzc2ncuDEuLi5EREQQHh5Obm4uTz75JOfPnycpKQlXV1cGDBhQ6Dp/++03Tpw4wU8//QTcvCQDwMPDo9j7MEnJFLUfDB8+nFatWjFu3Dh69+7Njh07eO+995g1a5a5jJeXF1u3bqVPnz44OjpSvXr1AuuPi4sjICAg38Nt87Rq1Yq4uDiio6OJjIykZ8+e1K9fn5MnT7Jr1y569OgBwNChQ+ncuTNGo5GsrCw2bdqEt7d3oZ9n8ODBBAUFERsbS9euXdm4cSNr164t9mnTf1aS/TUsLIxp06YRGRlJaGgoqamp5odxiNwtymtByqvYqv1f7if7XDaP93+cSq6V8s17tOujfBP/Deczz+Pp54lHEw9uXL1B+pfpuBvdAdj0/iZcPVyp06wOBjsD+/67D1d3Vyq5VSpQV4seLVgzfg1Lw5fS4c0OZJ3MYuN7GwEsytvTkU8zt+9cqtapiu9zvhjsDPz03U9kHsiky1tdMLYzUrNhTT79x6c8F/0cVy5eIXFC4h1sJZG7S/1qQepXxRopqwUpq2KNlNWClFXrUeq3hckTHR1tvlQhj7e3N7NmzeL999/H19eXnTt3mm/efytVqlRh5cqVPPXUU3h7ezN79mwWL15M06ZNARg3bhyjR48mJiYGb29vOnXqxJo1a6hfv36R61y9ejXNmzenS5cuAPTp04fmzZsze/bsO/jU8leF7Qf+/v4sW7aMJUuW8MgjjzBmzBiio6MZOHBgvuWOHTtGw4YNqVGj4K/Yrl27Rnx8vPkg9lc9evRg4cKF2NnZ8euvv/Lyyy9jNBrp1asXnTt35u233wYgJyeHN954w7zfGI3GfAfhPwsMDGT27NnExsbi6+vLunXrCA8Px8nJyaJtUtz+WrduXVasWMGqVavw9fVl9uzZTJw40aI6RG6H8lqQ8iq2KDk+mcZtGxcYWAfw7erLj3t+xM7BjoToBKa0mcLMZ2disDcwIO7mDxKcKjuxccZGpnWYRmyHWH778TdeW/oadnYFTxudXJ0Y9OkgTqWdYmrbqSROSKTjiI4A5l+yl4R3B28GLR7EwU0HiQ2OZfrT09n8wWaq1bn5yyE7Ozte/eRVrl+5TmxwLEveXMIzbz1zO5tH5J5Rv1qQ+lWxRspqQcqqWCNltSBl1ToYTH+9CXohdu/eTYsWLUhNTcXf3/9etMvqLFq0iH79+t3X20AKGjRoEAcOHGDbtm1l3RT5P8qqFEV5tS55WR2+aTievp5l3RwpRSmfpbD4/1tMzLEYKlaqWPwCYtVSPksh/vV49atSgPpV66JzYCmKsmp9lFcpjLJqfUo6Hq4nRIlY4J133iEkJARnZ2fWrl3LggULivwmUkTKlvIqcm/sXLKT6l7VcavlxqnvTvHF2C/we95PA+si5Yz6VRHboKyK2AZltfzQ4LqIBXbu3MmUKVO4ePEiDRo0YMaMGYSGhpZ1s0SkEMqryL1x8exF1sas5eLZi7i6u+LXzY8u/+5S1s0SkVKmflXENiirIrZBWS0/NLguYoFly5aVdRNEpISUV5F7o8OQDnQY0qGsmyEid5n6VRHboKyK2AZltfy4aw80FREREREREREREREprzS4LiIiIiIiIiIiIiJiIQ2ui4iIiIiIiIiIiIhYSIPrIiIiIiIiIiIiIiIWsuiBpomJiWRkZNyttli1pKQk4P7eBiK2QFkVsQ15WU3/Kp0z358p49aISFGOJB8B1K+KWDudA4vYDuVVxDYcPXq0ROUMJpPJVFyhHTt20KZNG3Jycu64YbbMzs6O3Nzcsm6GiBTDYGfAlFvsoU1Eypj6VRHboH5VxDaoXxWxHcqriG2wt7dn27ZttG7dusgyJfrluqOjIzk5OcTHx+Pt7V1qDbQliYmJjB49+r7eBiK2IC+r/eb0w93oXtbNEZEipH+VztoJa9Wvilg59asitkH9qojt0PiSiG3IyMigX79+ODo63rKcRbeF8fb2xt/f/44aZqvyLtW5n7eBiC3Iy6q70R1PX88ybo2IFCXvVjDqV0Wsm/pVEdugflXEdmh8SaR80QNNRUREREREREREREQspMF1ERERERERERERERELaXBdRERERERERERERMRCGlwXKcLmzZsxGAycO3eurJtiVW0RuVuGVhvKt2u+LetmANbVFpHyxJr6M2tqi8jdYE19mTW1RaQ8saa+zJraImJtrCkf1tSW8qJUBtcHDhyIwWBg0qRJ+aavWrUKg8FQGlWUquvXr/PPf/6TZs2a4ezsTO3atXn55Zf56aefyrppNq009wMvLy+mT59e4vIxMTHY29szdepUi+q5lSeeeILMzEzc3NxKbZ0i5cXRnUcJrx7Oh70/LLV1RmdE4xPsU2rrEykP1LeK3B/Ur4rcG+pXRWyDsiq2pNR+ue7k5MTkyZPJysoqrVUCcO3atVJdH0B2dja7d+9m9OjR7N69m5UrV3Lw4EGee+65Uq/rfnO39oPizJs3jxEjRjBv3rxSW2fFihXx8PCwyi+IRMpacnwybQa14fCOw5zPPF8q63R1d8XB0aFU1iVSnqhvFSn/1K+K3DvqV0Vsg7IqtqLUBteDg4Px8PAgJiamyDJjx47Fz88v37Tp06fj5eVlfj9w4ECef/55JkyYQO3atWncuDEAs2bNolGjRjg5OeHu7k7Pnj3Ny+Tm5hITE0P9+vWpVKkSvr6+LF++vMh2uLm5sX79enr16kXjxo15/PHHee+990hNTeXEiRO3twEEKNl+ALBixQqaNm2Ko6MjXl5eTJs2zTyvXbt2HD9+nPDwcAwGQ7EHny1btnD58mWio6O5cOEC27dvzzd/3759tG/fHhcXF1xdXWnRogUpKSkAHD9+nK5du1K1alWcnZ1p2rQpiYmJQOGXysydOxdPT08eeOABunfvTmxsLFWqVDHPz9vHP/nkE7y8vHBzc6NPnz5cvHjRXKYk+2tiYiJGo5FKlSrRvn17jh07dsttIHIvXb10lT2r9hD4aiA+IT7sXLzTPC/7XDafvPYJbzV6i8jakYxvOZ7kRckA3Lh2g+UjljPGewwRtSJ4+9G3Wf+f9eZl/3rJ+NHko0wJmkJErQimPTWNb9d8y9BqQzmZdhKAQ18fYmi1oXy/5XumPTWNyIcimd5xOmcOncnX3rTENN5p9w4RtSIY13wc6yavI+dGjnn+z4d/ZkaXGUTUiiDm8RgObjp4V7abyO1S36q+Vco39asi95b6VfWrYhuUVWXVVpTaTxns7e2ZOHEif/vb3xgyZAh16tS57XVt2LABV1dX1q+/eXKYkpLCkCFD+OSTT3jiiSf47bff2LZtm7l8TEwM8fHxzJ49m0aNGrF161b69etHjRo1aNu2bYnqPH/+PAaDId+OLJYryX6QmppKr169GDt2LL1792b79u384x//4MEHH2TgwIGsXLkSX19fXnvtNQYNGlRsnXFxcfTt25cKFSrQt29f4uLieOKJJ8zzX3rpJZo3b84HH3yAvb09e/fupUKFCgC88cYbXLt2ja1bt+Ls7Ex6ejqVK1cutJ6kpCTCwsKYPHkyzz33HF999RWjR48uUO7w4cOsWrWKhIQEsrKy6NWrF5MmTWLChAlA8fvrjz/+yAsvvMAbb7zBa6+9RkpKCsOHDy/R9he5F/as2kPNRjVxb+ROy14t+fxfnxMcHozBYCBxYiKnD57m9WWv4/ygM78c+YXrV64DsHXOVr5b+x0D5g2gap2qnDt1jqxThf8K4cqFK8z921x8Qnx4+cOX+e3H3/j8rc8LLbtm/Bq6jetG5Qcrs2z4MpYMXsKb694E4PCOwyz6+yJemPQCDVo34Nejv7I0fCkAnf7ZidzcXOa9PA+Xmi6Erw/nyoUrfP6vwusRKSvqW9W3SvmmflXk3lK/qn5VbIOyqqzailK9TrB79+74+fkRFRVFXFzcba/H2dmZjz76iIoVKwKwcuVKnJ2defbZZ3FxcaFevXo0b94cgKtXrzJx4kS++uorWrduDUCDBg34+uuvmTNnTokG169cucI///lP+vbti6ur6223W24qbj+IjY2lQ4cO5gOH0WgkPT2dqVOnMnDgQKpVq4a9vT0uLi54eHjcsq4LFy6wfPlyduzYAUC/fv1o06YN7777rvkgduLECSIjI2nSpAkAjRo1Mi9/4sQJevToQbNmzYCb+05RZs6cSefOnYmIiDC3e/v27SQkJOQrl5uby/z583FxcQGgf//+bNiwgQkTJpRof/3ggw9o2LCh+dvWxo0bk5aWxuTJk2+5LUTuleT4ZFq+2BKAJh2acPnCZX5I+oFGTzYi62QWDzV7iLrN6wLwYN0HzctlncqiRsMaNHi8AQaDgWqe1YqsI3VFKgaDgd7Te1PBqQIeTTw4n3mepUOXFijb5d9deDjwYQCChwbzYe8PuX7lOhWcKvDllC/pMLQDAX0DAKjuVZ1n/vUMq8euptM/O/H95u85c+gMYcvDcKvlZl7fnF5zSmdjiZQS9a3qW6X8Ur8qcu+pX1W/KrZBWVVWbUGp3RYmz+TJk1mwYAEZGRm3vY5mzZqZB9YBQkJCqFevHg0aNKB///4sWrSI7OxsAH744Qeys7MJCQmhcuXK5tfChQs5fPhwsXVdv36dXr16YTKZ+OCDD267zZLfrfaDjIwMAgMD800LDAzk0KFD5OTkFCh/K4sXL6Zhw4b4+voC4OfnR7169Vi69I8/FIYNG0ZoaCjBwcFMmjQp334xZMgQxo8fT2BgIFFRUXz77bcF6shz8OBBAgIC8k3763u4+bCMvAMfQK1atTh79ixQsv01IyODxx57LN868w6UImXtzKEzHN99HP8e/gDYO9jTvHtzkuNvXqIe+Eogez7fw5SgKayOWs3R5KPmZQP6BnAq7RQTAyayYuQKDmw8UGQ9Zw+dpXbT2lRwqmCeVq9FvULL1m5a2/xvV/ebX5Be+uUSAKe+O8X/pv6PEZ4jzK+lQ5dy4fQFrmVf48z3Z6j6UFXzAACAV4CXhVtF5N5Q36q+Vcof9asiZUf9qvpVsQ3KqrJq7Up9cD0oKIiOHTsyatSogpXZ2WEymfJNu379eoFyzs7O+d67uLiwe/duFi9eTK1atRgzZgy+vr6cO3eOS5dunuitWbOGvXv3ml/p6em3vO96Xt29evXi+PHjrF+/Xr9aL0W32g9KU1xcHPv378fBwcH8Sk9Pz/fgibFjx7J//366dOnCxo0b8fHx4fPPb16eGhoaypEjR+jfvz9paWm0bNmSmTNn3lGb8i4JymMwGMjNzQW4o/1VxBokxyeTeyOXKJ8ohtUYxrAaw0ial8S+L/Zx+cJlfEJ8iNoXRbu/t+P86fPM6j6L/47+LwCevp6M2TOGzqM6c/3ydea/Op+PB3x8x22yq/Cnruz/bqGXl7lrv1+j08hORG6JNL9GfD2Ct1LewsFJD3kT26K+9Q/qW6W8UL8qUnbUr/5B/apYM2X1D8qqdborZ0CTJk3Cz8/P/DDSPDVq1OD06dOYTCbzQwT27t1bonU6ODgQHBxMcHAwUVFRVKlShY0bNxISEoKjoyMnTpwo8f3V4Y+B9UOHDrFp0yYefPDB4hcSixS1H3h7e5OUlJRvWlJSEkajEXt7e+Dmk5SL+5YxLS2NlJQUNm/eTLVqf1wG+9tvv9GuXTsOHDhgvlTHaDRiNBoJDw+nb9++fPzxx3Tv3h0AT09PwsLCCAsLY9SoUcydO5fBgwcXqK9x48bs2rUr37S/vi+Oj49Psfurt7c3q1evzjftm2++sagekbsh50YOu5buotu4bjRp3yTfvLj+cexesZvAVwKpXL0yAX0DCOgbQFLrJFaPWU23cd0AcHJ1wv8Ff/xf8Mf3OV/mvDiH37N+x7lq/i9VazaqScpnKdy4egMHx5td1Yndlj9wus6jdTh76Cw1GtQodL670Z2sU1mcP30eN4+bv7I7tuuYxfWI3CvqWwtS3yq2Sv2qSNlTv1qQ+lWxRspqQcqq9bgrg+vNmjXjpZdeYsaMGfmmt2vXjp9//pkpU6bQs2dP1q1bx9q1a4v9xXhCQgJHjhwhKCiIqlWrkpiYSG5uLo0bN8bFxYWIiAjCw8PJzc3lySef5Pz58yQlJeHq6sqAAQMKrO/69ev07NmT3bt3k5CQQE5ODqdPnwagWrVq+W5JI7evqP1g+PDhtGrVinHjxtG7d2927NjBe++9x6xZs8xlvLy82Lp1K3369MHR0ZHq1asXWH9cXBwBAQEEBQUVmNeqVSvi4uKIjo4mMjKSnj17Ur9+fU6ePMmuXbvo0aMHAEOHDqVz584YjUaysrLYtGkT3t7ehX6ewYMHExQURGxsLF27dmXjxo2sXbu22KdN/1lJ9tewsDCmTZtGZGQkoaGhpKamMn/+/BLXIXK37P9yP9nnsnm8/+NUcq2Ub96jXR/lm/hvOJ95Hk8/TzyaeHDj6g3Sv0zH3egOwKb3N+Hq4UqdZnUw2BnY9999uLq7UsmtUoG6WvRowZrxa1gavpQOb3Yg62QWG9/bCGBR5p6OfJq5fedStU5VfJ/zxWBn4KfvfiLzQCZd3uqCsZ2Rmg1r8uk/PuW56Oe4cvEKiRMS72Aridxd6lsLUt8qtkr9qkjZU79akPpVsUbKakHKqvUo9dvC5ImOjjZfqpDH29ubWbNm8f777+Pr68vOnTvNN++/lSpVqrBy5UqeeuopvL29mT17NosXL6Zp06YAjBs3jtGjRxMTE4O3tzedOnVizZo11K9fv9D1nTp1itWrV3Py5En8/PyoVauW+bV9+/Y7//BiVth+4O/vz7Jly1iyZAmPPPIIY8aMITo6moEDB+Zb7tixYzRs2JAaNQr+MubatWvEx8ebD2J/1aNHDxYuXIidnR2//vorL7/8MkajkV69etG5c2fefvttAHJycnjjjTfM+43RaMx3EP6zwMBAZs+eTWxsLL6+vqxbt47w8HCcnJws2ibF7a9169ZlxYoVrFq1Cl9fX2bPns3EiRMtqkPkbkiOT6Zx28YFBgAAfLv68uOeH7FzsCMhOoEpbaYw89mZGOwNDIi7+SWnU2UnNs7YyLQO04jtEMtvP/7Ga0tfw86uYFfk5OrEoE8HcSrtFFPbTiVxQiIdR3QEMP/iriS8O3gzaPEgDm46SGxwLNOfns7mDzZTrc7NXyPY2dnx6ievcv3KdWKDY1ny5hKeeeuZ29k8IveM+taC1LeKLVK/KmId1K8WpH5VrJGyWpCyah0Mpr/eBL0Qu3fvpkWLFqSmpuLv738v2mV1Fi1aRL9+/e7rbSAFDRo0iAMHDrBt27aybor8n7ysDt80HE9fz7JujpSilM9SWPz/LSbmWAwVK+kKI1uX8lkK8a/Hq1+VAtS3Whf1q+WX+tXyRf2qFEX9qvXR+JIURlm1PiUdD9dTZ0Qs8M477xASEoKzszNr165lwYIFRX4TKSJ3ZueSnVT3qo5bLTdOfXeKL8Z+gd/zfhoAECln1LeK3BvqV0XuD+pXRWyDslp+aHBdxAI7d+5kypQpXLx4kQYNGjBjxgxCQ0PLulki5dLFsxdZG7OWi2cv4uruil83P7r8u0tZN0tESpn6VpF7Q/2qyP1B/aqIbVBWyw8NrotYYNmyZWXdBJH7RochHegwpENZN0NE7jL1rSL3hvpVkfuD+lUR26Cslh937YGmIiIiIiIiIiIiIiLllQbXRUREREREREREREQspMF1ERERERERERERERELWXTP9cTERDIyMu5WW6xaUlIScH9vAxFbkJfV9K/SOfP9mTJujYgU5UjyEUD9qoi1U78qYhvUr4rYDo0vidiGo0ePlqicwWQymYortGPHDtq0aUNOTs4dN8yWGewMmHKL3VwiUsbs7OzIzc0t62aISDGUVRHboKyK2AZlVcR2KK8itsHe3p5t27bRunXrIsuU6Jfrjo6O5OTkEB8fj7e3d6k10JYkJiYyevRo+s3ph7vRvaybIyJFSP8qnbUT1t7XxysRW5DXryqrItZNWRWxDcqqiO1QXkVsQ0ZGBv369cPR0fGW5Sy6LYy3tzf+/v531DBblXepjrvRHU9fzzJujYgUJe+S9fv5eCViC/L6VWVVxLopqyK2QVkVsR3Kq0j5ogeaioiIiIiIiIiIiIhYSIPrIiIiIiIiIiIiIiIW0uC6iIiIiIiIiIiIiIiFNLgu5d7QakP5ds23Zd0MwLraIlKebN68GYPBwLlz58q6KVbVFhFrY035sKa2iFgba8qHNbVFxNpYUz6sqS0i1saa8mFNbSkvSmVwfeDAgRgMBiZNmpRv+qpVqzAYDKVRRakbO3YsTZo0wdnZmapVqxIcHExycnJZN+u+d3TnUcKrh/Nh7w9LbZ3RGdH4BPuU2vpEyoPSPG57eXkxffr0EpePiYnB3t6eqVOnWlTPrTzxxBNkZmbi5uZWausUsQbKqohtUFZFbIOyKmIblFWxJaX2y3UnJycmT55MVlZWaa0SgGvXrpXq+vIYjUbee+890tLS+Prrr/Hy8uLpp5/m559/viv1SckkxyfTZlAbDu84zPnM86WyTld3VxwcHUplXSLlyd06bhdn3rx5jBgxgnnz5pXaOitWrIiHh4fVfqErcieUVRHboKyK2AZlVcQ2KKtiK0ptcD04OBgPDw9iYmKKLDN27Fj8/PzyTZs+fTpeXl7m9wMHDuT5559nwoQJ1K5dm8aNGwMwa9YsGjVqhJOTE+7u7vTs2dO8TG5uLjExMdSvX59KlSrh6+vL8uXLb9nev/3tbwQHB9OgQQOaNm1KbGwsFy5c4NtvdcuOsnL10lX2rNpD4KuB+IT4sHPxTvO87HPZfPLaJ7zV6C0ia0cyvuV4khfdvNLgxrUbLB+xnDHeY4ioFcHbj77N+v+sNy/711uxHE0+ypSgKUTUimDaU9P4ds23DK02lJNpJwE49PUhhlYbyvdbvmfaU9OIfCiS6R2nc+bQmXztTUtM45127xBRK4JxzcexbvI6cm7kmOf/fPhnZnSZQUStCGIej+HgpoN3ZbuJ3K6SHLcBVqxYQdOmTXF0dMTLy4tp06aZ57Vr147jx48THh6OwWAo9mRhy5YtXL58mejoaC5cuMD27dvzzd+3bx/t27fHxcUFV1dXWrRoQUpKCgDHjx+na9euVK1aFWdnZ5o2bUpiYiJQ+KVtc+fOxdPTkwceeIDu3bsTGxtLlSpVzPPz+qRPPvkELy8v3Nzc6NOnDxcvXjSXKUn/kpiYiNFopFKlSrRv355jx47dchuIWEpZVVbFNiiryqrYBmVVWRXboKwqq7ai1AbX7e3tmThxIjNnzuTkyZN3tK4NGzZw8OBB1q9fT0JCAikpKQwZMoTo6GgOHjzIunXrCAoKMpePiYlh4cKFzJ49m/379xMeHk6/fv3YsmVLieq7du0aH374IW5ubvj6+t5R2+X27Vm1h5qNauLeyJ2WvVqSvCgZk8kEQOLERE4fPM3ry15n5DcjefGdF3F+0BmArXO28t3a7xgwbwD/2vkv+n/Yn2p1qxVax5ULV5j7t7nU9qlNxKYIOo/qzBdvf1Fo2TXj19BtXDeGbxiOnYMdSwYvMc87vOMwi/6+iKDXgxi5YyS9Ynuxc/FO1k+7Oaifm5vLvJfn4VDRgfD14fSK7VVkPSJlpSTH7dTUVHr16kWfPn1IS0tj7NixjB49mvnz5wOwcuVK6tSpQ3R0NJmZmWRmZt6yzri4OPr27UuFChXo27cvcXFx+ea/9NJL1KlTh127dpGamsrIkSOpUKECAG+88QZXr15l69atpKWlMXnyZCpXrlxoPUlJSYSFhfHmm2+yd+9eQkJCmDBhQoFyhw8fZtWqVSQkJJCQkMCWLVvyXXpYXP/y448/8sILL9C1a1f27t1LaGgoI0eOvOU2ELGUsqqsim1QVpVVsQ3KqrIqtkFZVVZtRaneK6N79+74+fkRFRVVYAe0hLOzMx999BEVK1YEbobB2dmZZ599FhcXF+rVq0fz5s0BuHr1KhMnTuSrr76idevWADRo0ICvv/6aOXPm0LZt2yLrSUhIoE+fPmRnZ1OrVi3Wr19P9erVb7vdcmeS45Np+WJLAJp0aMLlC5f5IekHGj3ZiKyTWTzU7CHqNq8LwIN1HzQvl3UqixoNa9Dg8QYYDAaqeRY+sA6QuiIVg8FA7+m9qeBUAY8mHpzPPM/SoUsLlO3y7y48HPgwAMFDg/mw94dcv3KdCk4V+HLKl3QY2oGAvgEAVPeqzjP/eobVY1fT6Z+d+H7z95w5dIaw5WG41XIzr29Orzmls7FESklxx+3Y2Fg6dOjA6NGjgZu31EpPT2fq1KkMHDiQatWqYW9vj4uLCx4eHres68KFCyxfvpwdO3YA0K9fP9q0acO7775rPuk4ceIEkZGRNGnSBIBGjRqZlz9x4gQ9evSgWbNmwM1jfVFmzpxJ586diYiIMLd7+/btJCQk5CuXm5vL/PnzcXFxAaB///5s2LCBCRMmlKh/+eCDD2jYsKH51xGNGzc2n0iJlCZlVVkV26CsKqtiG5RVZVVsg7KqrNqCUvvlep7JkyezYMECMjIybnsdzZo1Mw+sA4SEhFCvXj0aNGhA//79WbRoEdnZ2QD88MMPZGdnExISQuXKlc2vhQsXcvjw4VvW0759e/bu3cv27dvp1KkTvXr14uzZs7fdbrl9Zw6d4fju4/j38AfA3sGe5t2bkxx/89Yvga8EsufzPUwJmsLqqNUcTT5qXjagbwCn0k4xMWAiK0au4MDGA0XWc/bQWWo3rU0FpwrmafVa1Cu0bO2mtc3/dnV3BeDSL5cAOPXdKf439X+M8Bxhfi0dupQLpy9wLfsaZ74/Q9WHqpoH1gG8Arws3Coi98atjtsZGRkEBgbmmxYYGMihQ4fIyckpUP5WFi9eTMOGDc1XCPn5+VGvXj2WLv3jy61hw4YRGhpKcHAwkyZNynccHzJkCOPHjycwMJCoqKhb3sbr4MGDBAQE5Jv21/dw8+E2eScqALVq1TL3AyXpXzIyMnjsscfyrTPvxEaktCmryqrYBmVVWRXboKwqq2IblFVl1dqV+uB6UFAQHTt2ZNSoUQUrs7Mz3+Yjz/Xr1wuUc3Z2zvfexcWF3bt3s3jxYmrVqsWYMWPw9fXl3LlzXLp0c7BzzZo17N271/xKT08v9r7rzs7OPPzwwzz++OPExcXh4OBwR7+4l9uXHJ9M7o1conyiGFZjGMNqDCNpXhL7vtjH5QuX8QnxIWpfFO3+3o7zp88zq/ss/jv6vwB4+noyZs8YOo/qzPXL15n/6nw+HvDxHbfJrsKf4vF/t+XKzc0F4Nrv1+g0shORWyLNrxFfj+CtlLdwcNLDU8W23Oq4XZri4uLYv38/Dg4O5ld6enq+B8WMHTuW/fv306VLFzZu3IiPjw+ff/45AKGhoRw5coT+/fuTlpZGy5YtmTlz5h21Ke8SvjwGg8Gc8zvpX0TuBmX1D8qqWDNl9Q/KqlgzZfUPyqpYM2X1D8qqdboro4CTJk3Cz8/P/DDSPDVq1OD06dOYTCbzQwT27t1bonU6ODgQHBxMcHAwUVFRVKlShY0bNxISEoKjoyMnTpy45S1gSiI3N5erV6/e0TrEcjk3cti1dBfdxnWjSfsm+ebF9Y9j94rdBL4SSOXqlQnoG0BA3wCSWiexesxquo3rBoCTqxP+L/jj/4I/vs/5MufFOfye9TvOVfN/UVOzUU1SPkvhxtUbODje3P1P7D5hcZvrPFqHs4fOUqNBjULnuxvdyTqVxfnT53HzuPnr9WO7jllcj8i9UtRx29vbm6SkpHzTkpKSMBqN2NvbAzeffF7crwLS0tJISUlh8+bNVKv2x62bfvvtN9q1a8eBAwfMl9YZjUaMRiPh4eH07duXjz/+mO7duwPg6elJWFgYYWFhjBo1irlz5zJ48OAC9TVu3Jhdu3blm/bX98Xx8fEptn/x9vZm9erV+aZ98803FtUjYglltSBlVayRslqQsirWSFktSFkVa6SsFqSsWo+7MrjerFkzXnrpJWbMmJFvert27fj555+ZMmUKPXv2ZN26daxduxZXV9dbri8hIYEjR44QFBRE1apVSUxMJDc3l8aNG+Pi4kJERATh4eHk5uby5JNPcv78eZKSknB1dWXAgAEF1vf7778zYcIEnnvuOWrVqsUvv/zC+++/z6lTp3jxxRdLdVtI8fZ/uZ/sc9k83v9xKrlWyjfv0a6P8k38N5zPPI+nnyceTTy4cfUG6V+m4250B2DT+5tw9XClTrM6GOwM7PvvPlzdXankVqlAXS16tGDN+DUsDV9Khzc7kHUyi43vbQQo9qnRf/Z05NPM7TuXqnWq4vucLwY7Az999xOZBzLp8lYXjO2M1GxYk0//8SnPRT/HlYtXSJyQeAdbSeTuKuq4PXz4cFq1asW4cePo3bs3O3bs4L333mPWrFnmMl5eXmzdupU+ffrg6OhY6LMr4uLiCAgIyPcw6jytWrUiLi6O6OhoIiMj6dmzJ/Xr1+fkyZPs2rWLHj16ADB06FA6d+6M0WgkKyuLTZs24e3tXejnGTx4MEFBQcTGxtK1a1c2btzI2rVrLcp5SfqXsLAwpk2bRmRkJKGhoaSmppofniNyNyirBSmrYo2U1YKUVbFGympByqpYI2W1IGXVepT6bWHyREdHmy9VyOPt7c2sWbN4//338fX1ZefOneab999KlSpVWLlyJU899RTe3t7Mnj2bxYsX07RpUwDGjRvH6NGjiYmJwdvbm06dOrFmzRrq169f6Prs7e05cOAAPXr0wGg00rVrV3799Ve2bdtmXqfcO8nxyTRu27jAwDqAb1dfftzzI3YOdiREJzClzRRmPjsTg72BAXE3vzhxquzExhkbmdZhGrEdYvntx994belr2NkV3L2dXJ0Y9OkgTqWdYmrbqSROSKTjiI4A5l+yl4R3B28GLR7EwU0HiQ2OZfrT09n8wWaq1bn5DaednR2vfvIq169cJzY4liVvLuGZt565nc0jcs8Udtz29/dn2bJlLFmyhEceeYQxY8YQHR3NwIED8y137NgxGjZsSI0aBa/muHbtGvHx8eaTjr/q0aMHCxcuxM7Ojl9//ZWXX34Zo9FIr1696Ny5M2+//TYAOTk5vPHGG+bjvNFozHfS9GeBgYHMnj2b2NhYfH19WbduHeHh4Tg5OVm0TYrrX+rWrcuKFStYtWoVvr6+zJ49m4kTJ1pUh4illNWClFWxRspqQcqqWCNltSBlVayRslqQsmodDKa/3gS9ELt376ZFixakpqbi7+9/L9pldRYtWkS/fv0Yvmk4nr6eZd0cKUUpn6Ww+P9bTMyxGCpWqlj8AmLVUj5LIf71+Pv6eCWFGzRoEAcOHGDbtm1l3RThj35VWZW/Ulati7IqRVFWrYuyKkVRVq2P8iqFUVatT0nHw/XkRbnv7Fyyk+pe1XGr5cap707xxdgv8HveTwPrIuXMO++8Q0hICM7Ozqxdu5YFCxYU+csBESk7yqqIbVBWRWyDsipiG5TV8kOD63LfuXj2Imtj1nLx7EVc3V3x6+ZHl393KetmiUgp27lzJ1OmTOHixYs0aNCAGTNmEBoaWtbNEpG/UFZFbIOyKmIblFUR26Cslh8aXJf7TochHegwpENZN0NE7rJly5aVdRNEpASUVRHboKyK2AZlVcQ2KKvlx117oKmIiIiIiIiIiIiISHmlwXUREREREREREREREQtpcF1ERERERERERERExEIaXBcRERERERERERERsZBFDzRNTEwkIyPjbrXFqiUlJQGQ/lU6Z74/U8atEZGiHEk+AtzfxysRW5DXryqrItZNWRWxDcqqiO1QXkVsw9GjR0tUzmAymUzFFdqxYwdt2rQhJyfnjhtmy+zs7MjNzS3rZohIMZRVEdtgsDNgyi32NEREypj6VRHboKyK2A7lVcQ22Nvbs23bNlq3bl1kmRL9ct3R0ZGcnBzi4+Px9vYutQbaksTEREaPHn1fbwMRW6CsitiGvKz2m9MPd6N7WTdHRIqQ/lU6ayesVb8qYuV0DixiO5RXEduQkZFBv379cHR0vGU5i24L4+3tjb+//x01zFblXapzP28DEVugrIrYhrysuhvd8fT1LOPWiEhR8m6HqH5VxLrpHFjEdiivIuWLHmgqIiIiIiIiIiIiImIhDa6LiIiIiIiIiIiIiFhIg+siRdi8eTMGg4Fz586VdVOsqi0i1siaMmJNbRG5G4ZWG8q3a74t62YA1tUWkfLEmvoya2qLiLWxpnxYU1tErI015cOa2lJelMrg+sCBAzEYDEyaNCnf9FWrVmEwGEqjirsqLCwMg8HA9OnTy7opNq009wMvLy+L/j9iYmKwt7dn6tSpFtVzK0888QSZmZm4ubmV2jpFrIXyKnJ/OLrzKOHVw/mw94elts7ojGh8gn1KbX0i5YH6VRHboKyK2AZlVWxJqf1y3cnJicmTJ5OVlVVaqwTg2rVrpbq+v/r888/55ptvqF279l2t535xt/aD4sybN48RI0Ywb968UltnxYoV8fDwsIkviERuh/IqUv4lxyfTZlAbDu84zPnM86WyTld3VxwcHUplXSLlifpVEdugrIrYBmVVbEWpDa4HBwfj4eFBTExMkWXGjh2Ln59fvmnTp0/Hy8vL/H7gwIE8//zzTJgwgdq1a9O4cWMAZs2aRaNGjXBycsLd3Z2ePXual8nNzSUmJob69etTqVIlfH19Wb58ebFtPnXqFIMHD2bRokVUqFDBsg8shSrJfgCwYsUKmjZtiqOjI15eXkybNs08r127dhw/fpzw8HAMBkOxB58tW7Zw+fJloqOjuXDhAtu3b883f9++fbRv3x4XFxdcXV1p0aIFKSkpABw/fpyuXbtStWpVnJ2dadq0KYmJiUDhl8rMnTsXT09PHnjgAbp3705sbCxVqlQxz8/bxz/55BO8vLxwc3OjT58+XLx40VymJPtrYmIiRqORSpUq0b59e44dO3bLbSByO5RX5VXKt6uXrrJn1R4CXw3EJ8SHnYt3mudln8vmk9c+4a1GbxFZO5LxLceTvCgZgBvXbrB8xHLGeI8holYEbz/6Nuv/s9687F9vxXI0+ShTgqYQUSuCaU9N49s13zK02lBOpp0E4NDXhxhabSjfb/meaU9NI/KhSKZ3nM6ZQ2fytTctMY132r1DRK0IxjUfx7rJ68i5kWOe//Phn5nRZQYRtSKIeTyGg5sO3pXtJnK71K+qXxXboKwqq2IblFVl1VaU2uC6vb09EydOZObMmZw8efKO1rVhwwYOHjzI+vXrSUhIICUlhSFDhhAdHc3BgwdZt24dQUFB5vIxMTEsXLiQ2bNns3//fsLDw+nXrx9btmwpso7c3Fz69+9PZGQkTZs2vaP2yh9Ksh+kpqbSq1cv+vTpQ1paGmPHjmX06NHMnz8fgJUrV1KnTh2io6PJzMwkMzPzlnXGxcXRt29fKlSoQN++fYmLi8s3/6WXXqJOnTrs2rWL1NRURo4caf4y5Y033uDq1ats3bqVtLQ0Jk+eTOXKlQutJykpibCwMN5880327t1LSEgIEyZMKFDu8OHDrFq1ioSEBBISEtiyZUu+S5mK219//PFHXnjhBbp27crevXsJDQ1l5MiRt9wGIrdDeVVepXzbs2oPNRvVxL2ROy17tSR5UTImkwmAxImJnD54mteXvc7Ib0by4jsv4vygMwBb52zlu7XfMWDeAP6181/0/7A/1epWK7SOKxeuMPdvc6ntU5uITRF0HtWZL97+otCya8avodu4bgzfMBw7BzuWDF5innd4x2EW/X0RQa8HMXLHSHrF9mLn4p2sn3ZzUD83N5d5L8/DoaID4evD6RXbq8h6RMqK+lX1q2IblFVlVWyDsqqs2opSvaa3e/fu+Pn5ERUVVWAHtISzszMfffQRFStWBG6GwdnZmWeffRYXFxfq1atH8+bNAbh69SoTJ07kq6++onXr1gA0aNCAr7/+mjlz5tC2bdtC65g8eTIODg4MGTLkttsphStuP4iNjaVDhw6MHj0aAKPRSHp6OlOnTmXgwIFUq1YNe3t7XFxc8PDwuGVdFy5cYPny5ezYsQOAfv360aZNG959913zQezEiRNERkbSpEkTABo1amRe/sSJE/To0YNmzZoBN/edosycOZPOnTsTERFhbvf27dtJSEjIVy43N5f58+fj4uICQP/+/dmwYQMTJkwo0f76wQcf0LBhQ/O3rY0bNzYfmEVKm/KqvEr5lRyfTMsXWwLQpEMTLl+4zA9JP9DoyUZknczioWYPUbd5XQAerPugebmsU1nUaFiDBo83wGAwUM2z8IF1gNQVqRgMBnpP700Fpwp4NPHgfOZ5lg5dWqBsl3934eHAhwEIHhrMh70/5PqV61RwqsCXU76kw9AOBPQNAKC6V3We+dczrB67mk7/7MT3m7/nzKEzhC0Pw62Wm3l9c3rNKZ2NJVJK1K+qXxXboKwqq2IblFVl1RaU2i/X80yePJkFCxaQkZFx2+to1qyZeWAdICQkhHr16tGgQQP69+/PokWLyM7OBuCHH34gOzubkJAQKleubH4tXLiQw4cPF7r+1NRU3n33XebPn6/7Hd0lt9oPMjIyCAwMzDctMDCQQ4cOkZOTU6D8rSxevJiGDRvi6+sLgJ+fH/Xq1WPp0j/+qB82bBihoaEEBwczadKkfPvFkCFDGD9+PIGBgURFRfHtt98WqCPPwYMHCQgIyDftr+/h5sMy8g58ALVq1eLs2bNAyfbXjIwMHnvssXzrzDtQitwNyqvyKuXPmUNnOL77OP49/AGwd7CneffmJMffvPVL4CuB7Pl8D1OCprA6ajVHk4+alw3oG8CptFNMDJjIipErOLDxQJH1nD10ltpNa1PB6Y/b69VrUa/QsrWb/vF8G1d3VwAu/XIJgFPfneJ/U//HCM8R5tfSoUu5cPoC17Kvceb7M1R9qKp5YB3AK8DLwq0icm+oX1W/KrZBWVVWxTYoq8qqtSv1wfWgoCA6duzIqFGjClZmZ2e+HDnP9evXC5RzdnbO997FxYXdu3ezePFiatWqxZgxY/D19eXcuXNcunTzj7I1a9awd+9e8ys9Pb3I+65v27aNs2fPUrduXRwcHHBwcOD48eMMHz483/3f5fbdaj8oTXFxcezfv9/8/+jg4EB6enq+B0+MHTuW/fv306VLFzZu3IiPjw+ff/45AKGhoRw5coT+/fuTlpZGy5YtmTlz5h216a/37zcYDOTm5gLc1v4qcrcpr39QXqW8SI5PJvdGLlE+UQyrMYxhNYaRNC+JfV/s4/KFy/iE+BC1L4p2f2/H+dPnmdV9Fv8d/V8APH09GbNnDJ1Hdeb65evMf3U+Hw/4+I7bZFfhT6ed//fbhry8Xfv9Gp1GdiJyS6T5NeLrEbyV8hYOTnp4qtgW9at/UL8q1kxZ/YOyKtZMWf2Dsmqd7spfK5MmTcLPz8/8MNI8NWrU4PTp05hMJvMvxvfu3VuidTo4OBAcHExwcDBRUVFUqVKFjRs3EhISgqOjIydOnCjyFjB/1b9/f4KDg/NN69ixI/379+eVV14p0TqkeEXtB97e3iQlJeWblpSUhNFoxN7eHrj5JOXivmVMS0sjJSWFzZs3U63aH5es//bbb7Rr144DBw6YL9UxGo0YjUbCw8Pp27cvH3/8Md27dwfA09OTsLAwwsLCGDVqFHPnzmXw4MEF6mvcuDG7du3KN+2v74vj4+NT7P7q7e3N6tWr80375ptvLKpHxFLKa0HKq9iqnBs57Fq6i27jutGkfZN88+L6x7F7xW4CXwmkcvXKBPQNIKBvAEmtk1g9ZjXdxnUDwMnVCf8X/PF/wR/f53yZ8+Icfs/6Heeq+X8AUbNRTVI+S+HG1Rs4ON48rTyx+4TFba7zaB3OHjpLjQY1Cp3vbnQn61QW50+fx83j5q/Xj+06ZnE9IveK+tWC1K+KNVJWC1JWxRopqwUpq9bjrgyuN2vWjJdeeokZM2bkm96uXTt+/vlnpkyZQs+ePVm3bh1r167F1dX1lutLSEjgyJEjBAUFUbVqVRITE8nNzaVx48a4uLgQERFBeHg4ubm5PPnkk5w/f56kpCRcXV0ZMGBAgfU9+OCDPPjgg/mmVahQAQ8PjwJBldtX1H4wfPhwWrVqxbhx4+jduzc7duzgvffeY9asWeYyXl5ebN26lT59+uDo6Ej16tULrD8uLo6AgIB8D7fN06pVK+Li4oiOjiYyMpKePXtSv359Tp48ya5du+jRowcAQ4cOpXPnzhiNRrKysti0aRPe3t6Ffp7BgwcTFBREbGwsXbt2ZePGjaxdu9aiWwuVZH8NCwtj2rRpREZGEhoaSmpqqvlhHCJ3i/JakPIqtmr/l/vJPpfN4/0fp5JrpXzzHu36KN/Ef8P5zPN4+nni0cSDG1dvkP5lOu5GdwA2vb8JVw9X6jSrg8HOwL7/7sPV3ZVKbpUK1NWiRwvWjF/D0vCldHizA1kns9j43kYAi/L2dOTTzO07l6p1quL7nC8GOwM/ffcTmQcy6fJWF4ztjNRsWJNP//Epz0U/x5WLV0ickHgHW0nk7lK/WpD6VbFGympByqpYI2W1IGXVepT6bWHyREdHmy9VyOPt7c2sWbN4//338fX1ZefOneab999KlSpVWLlyJU899RTe3t7Mnj2bxYsX07RpUwDGjRvH6NGjiYmJwdvbm06dOrFmzRrq169/Vz6blFxh+4G/vz/Lli1jyZIlPPLII4wZM4bo6GgGDhyYb7ljx47RsGFDatQo+Cu2a9euER8fbz6I/VWPHj1YuHAhdnZ2/Prrr7z88ssYjUZ69epF586defvttwHIycnhjTfeMO83RqMx30H4zwIDA5k9ezaxsbH4+vqybt06wsPDcXJysmibFLe/1q1blxUrVrBq1Sp8fX2ZPXs2EydOtKgOkduhvBakvIotSo5PpnHbxgUG1gF8u/ry454fsXOwIyE6gSltpjDz2ZkY7A0MiLv5gwSnyk5snLGRaR2mEdshlt9+/I3Xlr6GnV3B00YnVycGfTqIU2mnmNp2KokTEuk4oiOA+ZfsJeHdwZtBiwdxcNNBYoNjmf70dDZ/sJlqdW7+csjOzo5XP3mV61euExscy5I3l/DMW8/czuYRuWfUrxakflWskbJakLIq1khZLUhZtQ4G019vgl6I3bt306JFC1JTU/H3978X7bI6ixYtol+/fvf1NpCCBg0axIEDB9i2bVtZN0X+j7IqRVFerUteVodvGo6nr2dZN0dKUcpnKSz+/xYTcyyGipUqFr+AWLWUz1KIfz1e/aoUoH7VuugcWIqirFof5VUKo6xan5KOh+sJUSIWeOeddwgJCcHZ2Zm1a9eyYMGCIr+JFJGypbyK3Bs7l+ykuld13Gq5ceq7U3wx9gv8nvfTwLpIOaN+VcQ2KKsitkFZLT80uC5igZ07dzJlyhQuXrxIgwYNmDFjBqGhoWXdLBEphPIqcm9cPHuRtTFruXj2Iq7urvh186PLv7uUdbNEpJSpXxWxDcqqiG1QVssPDa6LWGDZsmVl3QQRKSHlVeTe6DCkAx2GdCjrZojIXaZ+VcQ2KKsitkFZLT/u2gNNRURERERERERERETKKw2ui4iIiIiIiIiIiIhYSIPrIiIiIiIiIiIiIiIW0uC6iIiIiIiIiIiIiIiFLHqgaWJiIhkZGXerLVYtKSkJuL+3gYgtUFZFbENeVtO/SufM92fKuDUiUpQjyUcA9asi1k7nwCK2Q3kVsQ1Hjx4tUTmDyWQyFVdox44dtGnThpycnDtumC0z2Bkw5Ra7uUSkjNnZ2ZGbm1vWzRCRYiirIrZB58AitkH9qojtUF5FbIO9vT3btm2jdevWRZYp0S/XHR0dycnJIT4+Hm9v71JroC1JTExk9OjR9JvTD3eje1k3R0SKkP5VOmsnrL2vj1citiCvX1VWRaybzoFFbIPOgUVsh86DRWxDRkYG/fr1w9HR8ZblLLotjLe3N/7+/nfUMFuVd6mOu9EdT1/PMm6NiBQl7/YS9/PxSsQW5PWryqqIddM5sIht0DmwiO3QebBI+aIHmoqIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFtLguoiIiIiIiIiIiIiIhTS4LuXe0GpD+XbNt2XdDMC62iJSnmzevBmDwcC5c+fKuilW1RYRa2NN+bCmtojcDdZ03mlNbREpT6ypL7OmtohYG2vKhzW1pbwolcH1gQMHYjAYmDRpUr7pq1atwmAwlEYVpS6vzX9+derUqaybdd87uvMo4dXD+bD3h6W2zuiMaHyCfUptfSLlQWket728vJg+fXqJy8fExGBvb8/UqVMtqudWnnjiCTIzM3Fzcyu1dYpYA2VV5P6gc2CRe0P9qohtUFbFlpTaL9ednJyYPHkyWVlZpbVKAK5du1aq6/uzTp06kZmZaX4tXrz4rtUlJZMcn0ybQW04vOMw5zPPl8o6Xd1dcXB0KJV1iZQnd+u4XZx58+YxYsQI5s2bV2rrrFixIh4eHlb7ha7InVBWRco/nQOL3DvqV0Vsg7IqtqLUBteDg4Px8PAgJiamyDJjx47Fz88v37Tp06fj5eVlfj9w4ECef/55JkyYQO3atWncuDEAs2bNolGjRjg5OeHu7k7Pnj3Ny+Tm5hITE0P9+vWpVKkSvr6+LF++vNg2Ozo64uHhYX5VrVrVsg8tperqpavsWbWHwFcD8QnxYefineZ52eey+eS1T3ir0VtE1o5kfMvxJC9KBuDGtRssH7GcMd5jiKgVwduPvs36/6w3L/vXy1CPJh9lStAUImpFMO2paXy75luGVhvKybSTABz6+hBDqw3l+y3fM+2paUQ+FMn0jtM5c+hMvvamJabxTrt3iKgVwbjm41g3eR05N3LM838+/DMzuswgolYEMY/HcHDTwbuy3URuV0mO2wArVqygadOmODo64uXlxbRp08zz2rVrx/HjxwkPDzdfBXQrW7Zs4fLly0RHR3PhwgW2b9+eb/6+ffto3749Li4uuLq60qJFC1JSUgA4fvw4Xbt2pWrVqjg7O9O0aVMSExOBwi9tmzt3Lp6enjzwwAN0796d2NhYqlSpYp6f1yd98skneHl54ebmRp8+fbh48aK5TEn6l8TERIxGI5UqVaJ9+/YcO3bslttAxFLKqrIq5ZvOgUXuLfWr6lfFNiiryqqtKLXBdXt7eyZOnMjMmTM5efLkHa1rw4YNHDx4kPXr15OQkEBKSgpDhgwhOjqagwcPsm7dOoKCgszlY2JiWLhwIbNnz2b//v2Eh4fTr18/tmzZcst6Nm/eTM2aNWncuDF///vf+fXXX++o3XJn9qzaQ81GNXFv5E7LXi1JXpSMyWQCIHFiIqcPnub1Za8z8puRvPjOizg/6AzA1jlb+W7tdwyYN4B/7fwX/T/sT7W61Qqt48qFK8z921xq+9QmYlMEnUd15ou3vyi07Jrxa+g2rhvDNwzHzsGOJYOXmOcd3nGYRX9fRNDrQYzcMZJesb3YuXgn66fd/IMmNzeXeS/Pw6GiA+Hrw+kV26vIekTKSkmO26mpqfTq1Ys+ffqQlpbG2LFjGT16NPPnzwdg5cqV1KlTh+joaPNVQLcSFxdH3759qVChAn379iUuLi7f/Jdeeok6deqwa9cuUlNTGTlyJBUqVADgjTfe4OrVq2zdupW0tDQmT55M5cqVC60nKSmJsLAw3nzzTfbu3UtISAgTJkwoUO7w4cOsWrWKhIQEEhIS2LJlS75LD4vrX3788UdeeOEFunbtyt69ewkNDWXkyJG33AYillJWlVUp33QOLHJvqV9Vvyq2QVlVVm1FqV4n2L17d/z8/IiKiiqwA1rC2dmZjz76iIoVKwI3w+Ds7Myzzz6Li4sL9erVo3nz5gBcvXqViRMn8tVXX9G6dWsAGjRowNdff82cOXNo27ZtoXV06tSJF154gfr163P48GH+9a9/0blzZ3bs2IG9vf1tt11uX3J8Mi1fbAlAkw5NuHzhMj8k/UCjJxuRdTKLh5o9RN3mdQF4sO6D5uWyTmVRo2ENGjzeAIPBQDXPwv+oAEhdkYrBYKD39N5UcKqARxMPzmeeZ+nQpQXKdvl3Fx4OfBiA4KHBfNj7Q65fuU4Fpwp8OeVLOgztQEDfAACqe1XnmX89w+qxq+n0z058v/l7zhw6Q9jyMNxquZnXN6fXnNLZWCKlpLjjdmxsLB06dGD06NEAGI1G0tPTmTp1KgMHDqRatWrY29vj4uKCh4fHLeu6cOECy5cvZ8eOHQD069ePNm3a8O6775pPOk6cOEFkZCRNmjQBoFGjRublT5w4QY8ePWjWrBlw81hflJkzZ9K5c2ciIiLM7d6+fTsJCQn5yuXm5jJ//nxcXFwA6N+/Pxs2bGDChAkl6l8++OADGjZsaP51ROPGjc0nUiKlSVlVVqX80jmwyL2nflX9qtgGZVVZtQWl9sv1PJMnT2bBggVkZGTc9jqaNWtmHlgHCAkJoV69ejRo0ID+/fuzaNEisrOzAfjhhx/Izs4mJCSEypUrm18LFy7k8OHDRdbRp08fnnvuOZo1a8bzzz9PQkICu3btYvPmzbfdbrl9Zw6d4fju4/j38AfA3sGe5t2bkxx/87LXwFcC2fP5HqYETWF11GqOJh81LxvQN4BTaaeYGDCRFSNXcGDjgSLrOXvoLLWb1qaCUwXztHot6hVatnbT2uZ/u7q7AnDpl0sAnPruFP+b+j9GeI4wv5YOXcqF0xe4ln2NM9+foepDVc1/VAB4BXhZuFVE7o1bHbczMjIIDAzMNy0wMJBDhw6Rk5NToPytLF68mIYNG+Lr6wuAn58f9erVY+nSP/6wHzZsGKGhoQQHBzNp0qR8x/EhQ4Ywfvx4AgMDiYqK4ttvvy1QR56DBw8SEBCQb9pf38PNh9vknagA1KpVi7NnzwIl618yMjJ47LHH8q0z78RGpLQpq8qqlD86BxYpO+pX1a+KbVBWlVVrV+qD60FBQXTs2JFRo0YVrMzOznyJY57r168XKOfs7JzvvYuLC7t372bx4sXUqlWLMWPG4Ovry7lz57h06eaJ3po1a9i7d6/5lZ6eXqL7rudp0KAB1atX54cffijxMlJ6kuOTyb2RS5RPFMNqDGNYjWEkzUti3xf7uHzhMj4hPkTti6Ld39tx/vR5ZnWfxX9H/xcAT19PxuwZQ+dRnbl++TrzX53PxwM+vuM22VX4Uzz+77Zcubm5AFz7/RqdRnYickuk+TXi6xG8lfIWDk56cJTYllsdt0tTXFwc+/fvx8HBwfxKT0/P96CYsWPHsn//frp06cLGjRvx8fHh888/ByA0NJQjR47Qv39/0tLSaNmyJTNnzryjNuVdwpfHYDCYc15a/YtIaVFW/6CsSnmhc2CRsqN+9Q/qV8WaKat/UFat0105A5o0aRJ+fn7mh5HmqVGjBqdPn8ZkMpkfIrB3794SrdPBwYHg4GCCg4OJioqiSpUqbNy4kZCQEBwdHTlx4kSRt4ApiZMnT/Lrr79Sq1at216H3J6cGznsWrqLbuO60aR9k3zz4vrHsXvFbgJfCaRy9coE9A0goG8ASa2TWD1mNd3GdQPAydUJ/xf88X/BH9/nfJnz4hx+z/od56r5v6ip2agmKZ+lcOPqDRwcb+7+J3afsLjNdR6tw9lDZ6nRoEah892N7mSdyuL86fO4edz85c6xXccsrkfkXinquO3t7U1SUlK+aUlJSRiNRvMttCpWrFjsrwLS0tJISUlh8+bNVKv2x2Xrv/32G+3atePAgQPmS+uMRiNGo5Hw8HD69u3Lxx9/TPfu3QHw9PQkLCyMsLAwRo0axdy5cxk8eHCB+ho3bsyuXbvyTfvr++L4+PgU2794e3uzevXqfNO++eYbi+oRsYSyWpCyKrZK58AiZU/9akHqV8UaKasFKavW464Mrjdr1oyXXnqJGTNm5Jverl07fv75Z6ZMmULPnj1Zt24da9euxdXV9ZbrS0hI4MiRIwQFBVG1alUSExPJzc2lcePGuLi4EBERQXh4OLm5uTz55JOcP3+epKQkXF1dGTBgQIH1Xbp0ibfffpsePXrg4eHB4cOHGTFiBA8//DAdO3Ys1W0hxdv/5X6yz2XzeP/HqeRaKd+8R7s+yjfx33A+8zyefp54NPHgxtUbpH+ZjrvRHYBN72/C1cOVOs3qYLAzsO+/+3B1d6WSW6UCdbXo0YI149ewNHwpHd7sQNbJLDa+txGg2KdG/9nTkU8zt+9cqtapiu9zvhjsDPz03U9kHsiky1tdMLYzUrNhTT79x6c8F/0cVy5eIXFC4h1sJZG7q6jj9vDhw2nVqhXjxo2jd+/e7Nixg/fee49Zs2aZy3h5ebF161b69OmDo6Mj1atXL7D+uLg4AgIC8j2MOk+rVq2Ii4sjOjqayMhIevbsSf369Tl58iS7du2iR48eAAwdOpTOnTtjNBrJyspi06ZNeHt7F/p5Bg8eTFBQELGxsXTt2pWNGzeydu1ai3Jekv4lLCyMadOmERkZSWhoKKmpqeaH54jcDcpqQcqq2CqdA4uUPfWrBalfFWukrBakrFqPUr8tTJ7o6GjzpQp5vL29mTVrFu+//z6+vr7s3LnTfPP+W6lSpQorV67kqaeewtvbm9mzZ7N48WKaNm0KwLhx4xg9ejQxMTF4e3vTqVMn1qxZQ/369Qtdn729Pd9++y3PPfccRqOR//f//h8tWrRg27ZtODo63vmHF4skxyfTuG3jAn9UAPh29eXHPT9i52BHQnQCU9pMYeazMzHYGxgQd/OLE6fKTmycsZFpHaYR2yGW3378jdeWvoadXcHd28nViUGfDuJU2immtp1K4oREOo64+YVK3q94SsK7gzeDFg/i4KaDxAbHMv3p6Wz+YDPV6tz8htPOzo5XP3mV61euExscy5I3l/DMW8/czuYRuWcKO277+/uzbNkylixZwiOPPMKYMWOIjo5m4MCB+ZY7duwYDRs2pEaNgr9ku3btGvHx8eaTjr/q0aMHCxcuxM7Ojl9//ZWXX34Zo9FIr1696Ny5M2+//TYAOTk5vPHGG+bjvNFozHfS9GeBgYHMnj2b2NhYfH19WbduHeHh4Tg5OVm0TYrrX+rWrcuKFStYtWoVvr6+zJ49m4kTJ1pUh4illNWClFWxRToHFrEO6lcLUr8q1khZLUhZtQ4G019vgl6I3bt306JFC1JTU/H3978X7bI6ixYtol+/fgzfNBxPX8+ybo6UopTPUlj8/y0m5lgMFStVLH4BsWopn6UQ/3r8fX28ksINGjSIAwcOsG3btrJuivBHv6qsyl8pq9ZF58Dll86ByxedA0tR1K9aH50HS2GUVetT0vFwPXVG7js7l+ykuld13Gq5ceq7U3wx9gv8nvfTHxUi5cw777xDSEgIzs7OrF27lgULFhT5ywERKTvKqsi9oXNgkfuD+lUR26Cslh8aXJf7zsWzF1kbs5aLZy/i6u6KXzc/uvy7S1k3S0RK2c6dO5kyZQoXL16kQYMGzJgxg9DQ0LJuloj8hbIqcm/oHFjk/qB+VcQ2KKvlhwbX5b7TYUgHOgzpUNbNEJG7bNmyZWXdBBEpAWVV5N7QObDI/UH9qohtUFbLj7v2QFMRERERERERERERkfJKg+siIiIiIiIiIiIiIhbS4LqIiIiIiIiIiIiIiIU0uC4iIiIiIiIiIiIiYiGLHmiamJhIRkbG3WqLVUtKSgIg/at0znx/poxbIyJFOZJ8BLi/j1citiCvX1VWRaybzoFFbIPOgUVsh86DRWzD0aNHS1TOYDKZTMUV2rFjB23atCEnJ+eOG2bL7OzsyM3NLetmiEgxDHYGTLnFHtpEpIypXxWxDcqqiG1QVkVsh/IqYhvs7e3Ztm0brVu3LrJMiX657ujoSE5ODvHx8Xh7e5daA21JYmIio0ePvq+3gYgtyMtqvzn9cDe6l3VzRKQI6V+ls3bCWvWrIlZO58AitkFZFbEdyquIbcjIyKBfv344OjrespxFt4Xx9vbG39//jhpmq/Iu1bmft4GILcjLqrvRHU9fzzJujYgUJe/2EupXRaybzoFFbIOyKmI7lFeR8kUPNBURERERERERERERsZAG10VERERERERERERELKTBdZEibN68GYPBwLlz58q6KVbVFpG7ZWi1oXy75tuybgZgXW0RKU+sqT+zpraIWBtryoc1tUXE2lhTPqypLSLWxpryYU1tKS9KZXB94MCBGAwGJk2alG/6qlWrMBgMpVHFXZGRkcFzzz2Hm5sbzs7OtGrVihMnTpR1s2xWae4HXl5eTJ8+vcTlY2JisLe3Z+rUqRbVcytPPPEEmZmZuLm5ldo6RcqLozuPEl49nA97f1hq64zOiMYn2KfU1idSHqhvFbENyqqIbVBWRWyDsiq2pNR+ue7k5MTkyZPJysoqrVUCcO3atVJdX57Dhw/z5JNP0qRJEzZv3sy3337L6NGjcXJyuiv13S/u1n5QnHnz5jFixAjmzZtXauusWLEiHh4eVv0FkUhZSY5Pps2gNhzecZjzmedLZZ2u7q44OFr0nG2R+4L6VhHboKyK2AZlVcQ2KKtiK0ptcD04OBgPDw9iYmKKLDN27Fj8/PzyTZs+fTpeXl7m9wMHDuT5559nwoQJ1K5dm8aNGwMwa9YsGjVqhJOTE+7u7vTs2dO8TG5uLjExMdSvX59KlSrh6+vL8uXLb9net956i2eeeYYpU6bQvHlzGjZsyHPPPUfNmjUt//BiVpL9AGDFihU0bdoUR0dHvLy8mDZtmnleu3btOH78OOHh4RgMhmIPPlu2bOHy5ctER0dz4cIFtm/fnm/+vn37aN++PS4uLri6utKiRQtSUlIAOH78OF27dqVq1ao4OzvTtGlTEhMTgcIvlZk7dy6enp488MADdO/endjYWKpUqWKen7ePf/LJJ3h5eeHm5kafPn24ePGiuUxJ9tfExESMRiOVKlWiffv2HDt27JbbQOReunrpKntW7SHw1UB8QnzYuXineV72uWw+ee0T3mr0FpG1IxnfcjzJi5IBuHHtBstHLGeM9xgiakXw9qNvs/4/683L/vVWLEeTjzIlaAoRtSKY9tQ0vl3zLUOrDeVk2kkADn19iKHVhvL9lu+Z9tQ0Ih+KZHrH6Zw5dCZfe9MS03in3TtE1IpgXPNxrJu8jpwbOeb5Px/+mRldZhBRK4KYx2M4uOngXdluIrdLfav6VrENyqqyKrZBWVVWxTYoq8qqrSi1wXV7e3smTpzIzJkzOXny5B2ta8OGDRw8eJD169eTkJBASkoKQ4YMITo6moMHD7Ju3TqCgoLM5WNiYli4cCGzZ89m//79hIeH069fP7Zs2VLo+nNzc1mzZg1Go5GOHTtSs2ZNHnvsMVatWnVH7ZaS7Qepqan06tWLPn36kJaWxtixYxk9ejTz588HYOXKldSpU4fo6GgyMzPJzMy8ZZ1xcXH07duXChUq0LdvX+Li4vLNf+mll6hTpw67du0iNTWVkSNHUqFCBQDeeOMNrl69ytatW0lLS2Py5MlUrly50HqSkpIICwvjzTffZO/evYSEhDBhwoQC5Q4fPsyqVatISEggISGBLVu25LuUqbj99ccff+SFF16ga9eu7N27l9DQUEaOHHnLbSByL+1ZtYeajWri3sidlr1akrwoGZPJBEDixEROHzzN68teZ+Q3I3nxnRdxftAZgK1ztvLd2u8YMG8A/9r5L/p/2J9qdasVWseVC1eY+7e51PapTcSmCDqP6swXb39RaNk149fQbVw3hm8Yjp2DHUsGLzHPO7zjMIv+voig14MYuWMkvWJ7sXPxTtZPuzmon5uby7yX5+FQ0YHw9eH0iu1VZD0iZUV9q/pWsQ3KqrIqtkFZVVbFNiiryqqtKNXr77t3746fnx9RUVEFdkBLODs789FHH1GxYkXgZhicnZ159tlncXFxoV69ejRv3hyAq1evMnHiRL766itat24NQIMGDfj666+ZM2cObdu2LbD+s2fPcunSJSZNmsT48eOZPHky69at44UXXmDTpk2FLiMlV9x+EBsbS4cOHRg9ejQARqOR9PR0pk6dysCBA6lWrRr29va4uLjg4eFxy7ouXLjA8uXL2bFjBwD9+vWjTZs2vPvuu+aD2IkTJ4iMjKRJkyYANGrUyLz8iRMn6NGjB82aNQNu7jtFmTlzJp07dyYiIsLc7u3bt5OQkJCvXG5uLvPnz8fFxQWA/v37s2HDBiZMmFCi/fWDDz6gYcOG5m9bGzdubD4wi1iD5PhkWr7YEoAmHZpw+cJlfkj6gUZPNiLrZBYPNXuIus3rAvBg3QfNy2WdyqJGwxo0eLwBBoOBap6FD6wDpK5IxWAw0Ht6byo4VcCjiQfnM8+zdOjSAmW7/LsLDwc+DEDw0GA+7P0h169cp4JTBb6c8iUdhnYgoG8AANW9qvPMv55h9djVdPpnJ77f/D1nDp0hbHkYbrXczOub02tO6WwskVKivlV9q9gGZVVZFdugrCqrYhuUVWXVFpTaL9fzTJ48mQULFpCRkXHb62jWrJl5YB0gJCSEevXq0aBBA/r378+iRYvIzs4G4IcffiA7O5uQkBAqV65sfi1cuJDDhw8Xuv7c3FwAunXrRnh4OH5+fowcOZJnn32W2bNn33a75Q+32g8yMjIIDAzMNy0wMJBDhw6Rk5NToPytLF68mIYNG+Lr6wuAn58f9erVY+nSPwbghg0bRmhoKMHBwUyaNCnffjFkyBDGjx9PYGAgUVFRfPvttwXqyHPw4EECAgLyTfvre7j5sIy8Ax9ArVq1OHv2LFCy/TUjI4PHHnss3zrzDpQiZe3MoTMc330c/x7+ANg72NO8e3OS42/e+iXwlUD2fL6HKUFTWB21mqPJR83LBvQN4FTaKSYGTGTFyBUc2HigyHrOHjpL7aa1qeBUwTytXot6hZat3bS2+d+u7q4AXPrlEgCnvjvF/6b+jxGeI8yvpUOXcuH0Ba5lX+PM92eo+lBV88A6gFeAl4VbReTeUN+qvlVsg7KqrIptUFaVVbENyqqyau1KfXA9KCiIjh07MmrUqIKV2dmZbx2Q5/r16wXKOTs753vv4uLC7t27Wbx4MbVq1WLMmDH4+vpy7tw5Ll26OYCyZs0a9u7da36lp6cXed/16tWr4+DggI+PT77p3t7enDhxwqLPK4W71X5QmuLi4ti/fz8ODg7mV3p6er4HT4wdO5b9+/fTpUsXNm7ciI+PD59//jkAoaGhHDlyhP79+5OWlkbLli2ZOXPmHbUp75KgPAaDwfyFzu3sryLWJDk+mdwbuUT5RDGsxjCG1RhG0rwk9n2xj8sXLuMT4kPUvija/b0d50+fZ1b3Wfx39H8B8PT1ZMyeMXQe1Znrl68z/9X5fDzg4ztuk12FP3Vl/3cLvbzMXfv9Gp1GdiJyS6T5NeLrEbyV8hYOTnp4qtgW9a1/UN8q1kxZ/YOyKtZMWf2DsirWTFn9g7Jqne7KyMKkSZPw8/MzP4w0T40aNTh9+jQmk8n8EIG9e/eWaJ0ODg4EBwcTHBxMVFQUVapUYePGjYSEhODo6MiJEydKfDuXihUr0qpVKw4ezP/Quu+//5569Qr/ZaRYrqj9wNvbm6SkpHzTkpKSMBqN2NvbAzf/j4r7ljEtLY2UlBQ2b95MtWp/3F7it99+o127dhw4cMB8qY7RaMRoNBIeHk7fvn35+OOP6d69OwCenp6EhYURFhbGqFGjmDt3LoMHDy5QX+PGjdm1a1e+aX99XxwfH59i91dvb29Wr16db9o333xjUT0id0POjRx2Ld1Ft3HdaNK+Sb55cf3j2L1iN4GvBFK5emUC+gYQ0DeApNZJrB6zmm7jugHg5OqE/wv++L/gj+9zvsx5cQ6/Z/2Oc9X8X6rWbFSTlM9SuHH1Bg6ON7uqE7st//KzzqN1OHvoLDUa1Ch0vrvRnaxTWZw/fR43j5u/Xj+265jF9YjcK+pbC1LfKtZIWS1IWRVrpKwWpKyKNVJWC1JWrcddGVxv1qwZL730EjNmzMg3vV27dvz8889MmTKFnj17sm7dOtauXYurq+st15eQkMCRI0cICgqiatWqJCYmkpubS+PGjXFxcSEiIoLw8HByc3N58sknOX/+PElJSbi6ujJgwIBC1xkZGUnv3r0JCgqiffv2rFu3ji+++ILNmzeX1ma47xW1HwwfPpxWrVoxbtw4evfuzY4dO3jvvfeYNWuWuYyXlxdbt26lT58+ODo6Ur169QLrj4uLIyAgIN/DbfO0atWKuLg4oqOjiYyMpGfPntSvX5+TJ0+ya9cuevToAcDQoUPp3LkzRqORrKwsNm3ahLe3d6GfZ/DgwQQFBREbG0vXrl3ZuHEja9euLfZp039Wkv01LCyMadOmERkZSWhoKKmpqeaHcYiUpf1f7if7XDaP93+cSq6V8s17tOujfBP/Deczz+Pp54lHEw9uXL1B+pfpuBvdAdj0/iZcPVyp06wOBjsD+/67D1d3Vyq5VSpQV4seLVgzfg1Lw5fS4c0OZJ3MYuN7GwEsytzTkU8zt+9cqtapiu9zvhjsDPz03U9kHsiky1tdMLYzUrNhTT79x6c8F/0cVy5eIXFC4h1sJZG7S31rQepbxRopqwUpq2KNlNWClFWxRspqQcqq9Sj128LkiY6ONl+qkMfb25tZs2bx/vvv4+vry86dO80377+VKlWqsHLlSp566im8vb2ZPXs2ixcvpmnTpgCMGzeO0aNHExMTg7e3N506dWLNmjXUr1+/yHV2796d2bNnM2XKFJo1a8ZHH33EihUrePLJJ+/sg0s+he0H/v7+LFu2jCVLlvDII48wZswYoqOjGThwYL7ljh07RsOGDalRo+AvTq9du0Z8fLz5IPZXPXr0YOHChdjZ2fHrr7/y8ssvYzQa6dWrF507d+btt98GICcnhzfeeMO83xiNxnwH4T8LDAxk9uzZxMbG4uvry7p16wgPD8fJycmibVLc/lq3bl1WrFjBqlWr8PX1Zfbs2UycONGiOkTuhuT4ZBq3bVxgYB3At6svP+75ETsHOxKiE5jSZgozn52Jwd7AgLibX3I6VXZi44yNTOswjdgOsfz242+8tvQ17OwKdkVOrk4M+nQQp9JOMbXtVBInJNJxREcA8y/ZS8K7gzeDFg/i4KaDxAbHMv3p6Wz+YDPV6tz8NYKdnR2vfvIq169cJzY4liVvLuGZt565nc0jcs+oby1IfatYI2W1IGVVrJGyWpCyKtZIWS1IWbUOBtNfb4JeiN27d9OiRQtSU1Px9/e/F+2yOosWLaJfv3739TaQggYNGsSBAwfYtm1bWTdF/k9eVodvGo6nr2dZN0dKUcpnKSz+/xYTcyyGipUqFr+AWLWUz1KIfz1e/aoUoL7VuugcWIqirFoXZVWKoqxaH+VVCqOsWp+SjofraW4iFnjnnXcICQnB2dmZtWvXsmDBgiK/iRSRO7NzyU6qe1XHrZYbp747xRdjv8DveT8NrIuUM+pbRWyDsipiG5RVEdugrJYfGlwXscDOnTuZMmUKFy9epEGDBsyYMYPQ0NCybpZIuXTx7EXWxqzl4tmLuLq74tfNjy7/7lLWzRKRUqa+VcQ2KKsitkFZFbENymr5ocF1EQssW7asrJsgct/oMKQDHYZ0KOtmiMhdpr5VxDYoqyK2QVkVsQ3Kavlx1x5oKiIiIiIiIiIiIiJSXmlwXURERERERERERETEQhpcFxERERERERERERGxkAbXRUREREREREREREQsZNEDTTMyMu5WO6ze0aNHgft7G4jYgrysnvn+TBm3RERu5dcTvwLqV0Wsnc6BRWyDsipiO5RXEdtQ0owaTCaTqbhCJ06cwNvbm+zs7DtumC2zt7cnJyenrJshIsUw2Bkw5RZ7aBORMmZnb0duTm5ZN0NEiqFzYBHboKyK2A7lVcQ2PPDAA2RkZFC3bt0iy5RocB1uDrD/8ssvpdY4W3T16lUcHR3LuhkiUgxlVcQ2KKsitkFZFbENyqqI7VBeRWxD9erVbzmwDhYMrouIiIiIiIiIiIiIyE16oKmIiIiIiIiIiIiIiIU0uC4iIiIiIiIiIiIiYiENrouIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFtLguoiIiIiIiIiIiIiIhTS4LiIiIiIiIiIiIiJiIQ2ui4iIiIiIiIiIiIhYSIPrIiIiIiIiIiIiIiIW0uC6iIiIiIiIiIiIiIiFNLguIiIiIiIiIiIiImIhDa6LiIiIiIiIiIiIiFhIg+siIiIiIiIiIiIiIhbS4LqIiIiIiIiIiIiIiIU0uC4iIiIiIiIiIiIiYiENrouIiIiIiIiIiIiIWEiD6yIiIiIiIiIiIiIiFvr/AXoiuC9OJkYIAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) != (shifts[1,0,1])]\n",
      "Query147: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) <= (shifts[1,1,0]), (shifts[0,2,0]) >= (shifts[1,1,0]), (shifts[0,1,0]) != (shifts[1,1,0])]\n",
      "Query148: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,1]) != (shifts[1,1,0])]\n",
      "Size of CL:  22\n",
      "Size of B:  117\n",
      "Number of Queries:  149\n",
      "Query149: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query150: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query151: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query152: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[0,2,1]) != (shifts[1,0,1])]\n",
      "Size of CL:  23\n",
      "Size of B:  116\n",
      "Number of Queries:  153\n",
      "Query153: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query154: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query155: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) != (shifts[1,1,0])]\n",
      "Query156: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,1,0])]\n",
      "Size of CL:  24\n",
      "Size of B:  114\n",
      "Number of Queries:  157\n",
      "Query157: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query158: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) != (shifts[1,0,1]), (shifts[0,1,1]) != (shifts[1,1,0])]\n",
      "Query159: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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V26LaMauaa+ys7ty5s8bjfNy4cbW+ZsmSJUKfPn0EW1tbwcTERGjfvr0QEhIinDlzRlmmd+/ewocffqjyuiFDhqjUC0DYtGmT8vlfs1wtLCxMaNWqVb3Z27lzp+Dp6SmYmJgILi4udY6Z6RFmVXPM6ibl86fJak3vwcnJqd73T8yrppjVTcrnT5rV3r17a/0e6BFN54IlgiAITzIp/7w5fPgwunXrhoKCAnh5eTV2c54rq1atQkREBH777TeYmJg0dnNIz61evRpBQUHMaiNgVkkbzGrjYl5JU8xq42JWSVPMauNiVkkbzGvjYVZJG5rOBfOyMKS3KisrUV5ejvj4eLz//vv84CPSU8wqkXgwr0TiwKwSiQOzSiQOzCo1JN7QlPRWYmIiOnfuDHt7e8yYMaOxm0NEtWBWicSDeSUSB2aVSByYVSJxYFapIXFynfRWdHQ07t+/jx07dvBmY0R6jFklEg/mlUgcmFUicWBWicSBWaWGxMl1IiIiIiIiIiIiIiItcXKdiIiIiIiIiIiIiEhLnFwnIiIiIiIiIiIiItKSkaYFz507h99//70h26LXSkpKAABZWVnKfxOR/snNzQXArBLpO2aVSByYVSJxYFaJxIN5JRKHsrIyjcpJBEEQ6it07tw5yGQyVFZWPnXDxMzAwAAKhaKxm0FE9WBWicSBWSUSB2aVSByYVSLxYF6JxMHQ0BB79+5Fz549ay2j0S/Xf//9d1RWViI9PR0ymUxnDRSTrKwszJw587neB0RiwKwSiQOzSiQOzCqRODCrROLBvBKJQ0lJCYKCgmBqalpnOY0vCwMAMpkMXl5eT9Uwsao+Ved53gdEYsCsEokDs0okDswqkTgwq0TiwbwSNS28oSkRERERERERERERkZY4uU5EREREREREREREpCVOrhMRERERERERERERaYmT60S12LVrFyQSCa5du9bYTdGrthDpI33KiD61hUjf6FM+9KktRPpGn/KhT20h0jf6lA99aguRvtGnfOhTW5oKnUyuh4SEQCKRID4+XmX55s2bIZFIdLEJndu4cSNef/11tGrVChKJBIWFhY3dJNHT5XHg7OyMlJQUjcvHxcXB0NAQ8+bN02o7dXnllVdQXl4Oa2trndVJpC+YVyJxYFaJxIFZJRIHZpVIHJhVEhOd/XLdzMwMCQkJqKio0FWVAIB79+7ptL5qf/75J1599VUkJCQ0SP3Pq4Y6DuqTlpaGadOmIS0tTWd1mpiYwN7eXm+/ICJ6WswrkTgwq0TiwKwSiQOzSiQOzCqJhc4m1/39/WFvb4+4uLhay0RHR8PT01NlWUpKCpydnZXPQ0JCMHToUMTGxqJt27ZwdXUFACxcuBCdOnWCmZkZ7OzsMHLkSOVrFAoF4uLi0KFDB5ibm0Mul2P9+vV1tjc4OBizZs2Cv7+/9m+WaqXJcQAAGzZsgLu7O0xNTeHs7IykpCTlOj8/P5w9exYRERGQSCT1fvjs3r0bt2/fRkxMDG7cuIF9+/aprD969Cj69OkDS0tLWFlZoVu3bsjPzwcAnD17FoMGDYKNjQ0sLCzg7u6OrKwsADWfKrN06VI4OjqiWbNmGDZsGJKTk9GiRQvl+upjfNWqVXB2doa1tTXGjBmDmzdvKstocrxmZWVBKpXC3Nwcffr0wZkzZ+rcB0RPgnllXkkcmFVmlcSBWWVWSRyYVWaVxIFZZVbFQmeT64aGhpg7dy4WLFiA8+fPP1VdO3bsQGlpKbZv347MzEzk5+dj0qRJiImJQWlpKbZt2wZfX19l+bi4OKxcuRKLFi3C8ePHERERgaCgIOzevftp3xZpSZPjoKCgAKNGjcKYMWNQVFSE6OhozJw5E8uXLwfw8JI97dq1Q0xMDMrLy1FeXl7nNlNTUxEYGAhjY2MEBgYiNTVVZf3YsWPRrl07HDp0CAUFBZg+fTqMjY0BABMmTMDdu3exZ88eFBUVISEhAc2bN69xO7m5uQgLC8OHH36IwsJCBAQEIDY2Vq3cqVOnsHnzZmRmZiIzMxO7d+9WOZWpvuP1119/xfDhwzFo0CAUFhYiNDQU06dPr3MfED0J5pV5JXFgVplVEgdmlVklcWBWmVUSB2aVWRUNQQMFBQUCAKGgoKDG9ePGjROGDBkiCIIgvPzyy8K7774rCIIgbNq0SfjrJqKiogS5XK7y2s8++0xwcnJSqcvOzk64e/euctmGDRsEKysr4caNG2rbvnPnjtCsWTNh3759Ksv/8Y9/CIGBgfW+t7KyMgGAcOTIkTrLpaen17kPSPPj4K233hICAgJUXhsZGSm4ubkpnzs5OQmfffZZvdu8fv26YG5uLhQWFgqCIAhHjhwRmjdvLty8eVNZxtLSUli+fHmNr/fw8BCio6NrXLdz504BgFBRUSEIgiCMHj1aGDhwoEqZsWPHCtbW1srnUVFRQrNmzVSO1cjISOGll14SBEGz43XGjBkq+0IQBOGjjz5SaQvVjlnVDPPKvDY2ZlUzzCqz2tiYVc0wq8xqY2NWNcOsMqv6gHmtH7PKrOqD+ubDq+nsl+vVEhISsGLFCpSUlDxxHR4eHjAxMVE+DwgIgJOTE1xcXBAcHIzVq1ejsrISAPDLL7+gsrISAQEBaN68ufKxcuVKnDp16qnfDz2Zuo6DkpIS+Pj4qCzz8fHByZMnUVVVpdV2MjIy0LFjR8jlcgCAp6cnnJycsHbtWmWZyZMnIzQ0FP7+/oiPj1c5LiZNmoQ5c+bAx8cHUVFROHbsWK3bKi0thbe3t8qyx58DD2+WYWlpqXzu4OCAy5cvA9DseC0pKcFLL72kUmfPnj013SVEWmNemVcSB2aVWSVxYFaZVRIHZpVZJXFgVplVfafzyXVfX1/069cPM2bMUN+YgQEEQVBZdv/+fbVyFhYWKs8tLS1x+PBhZGRkwMHBAbNmzYJcLse1a9dw69YtAMDWrVtRWFiofBQXF9d73XVqOHUdB7qUmpqK48ePw8jISPkoLi5WufFEdHQ0jh8/joEDByInJwdubm7YtGkTACA0NBSnT59GcHAwioqK0L17dyxYsOCp2lR9SlA1iUQChUIBADxeSS8xr48wr6TPmNVHmFXSZ8zqI8wq6TNm9RFmlfQZs/oIs6qfjBqi0vj4eHh6eipvRlrN1tYWFy9ehCAIypsIFBYWalSnkZER/P394e/vj6ioKLRo0QI5OTkICAiAqakpzp07h969e+v6rdBTqO04kMlkyM3NVVmWm5sLqVQKQ0NDAA/vpFzft4xFRUXIz8/Hrl270LJlS+Xyq1evws/PDydOnEDnzp0BAFKpFFKpFBEREQgMDMSyZcswbNgwAICjoyPCwsIQFhaGGTNmYOnSpZg4caLa9lxdXXHo0CGVZY8/r4+bm1u9x6tMJsOWLVtUlu3fv1+r7RBpi3lVx7ySPmJW1TGrpI+YVXXMKukjZlUds0r6iFlVx6zqjwaZXPfw8MDYsWMxf/58leV+fn64cuUKEhMTMXLkSGzbtg3Z2dmwsrKqs77MzEycPn0avr6+sLGxQVZWFhQKBVxdXWFpaYmpU6ciIiICCoUCr776Kq5fv47c3FxYWVlh3LhxNdZ59epVnDt3Dr/99huAh6dkAIC9vT3s7e11sBeotuNgypQp6NGjB2bPno3Ro0cjLy8PX3zxBRYuXKgs4+zsjD179mDMmDEwNTVF69at1epPTU2Ft7e3ys1tq/Xo0QOpqamIiYlBZGQkRo4ciQ4dOuD8+fM4dOgQRowYAQAIDw/HgAEDIJVKUVFRgZ07d0Imk9X4fiZOnAhfX18kJydj0KBByMnJQXZ2dr13m/4rTY7XsLAwJCUlITIyEqGhoSgoKFDejIOooTCv6phX0kfMqjpmlfQRs6qOWSV9xKyqY1ZJHzGr6phVPaKLC7j/9UYD1crKygQTExPh8U189dVXgqOjo2BhYSG8/fbbQmxsrNoNTR+va+/evULv3r0FGxsbwdzcXOjSpYuwdu1a5XqFQiGkpKQIrq6ugrGxsWBrayv069dP2L17d63vadmyZQIAtUdUVFSN5XnDifppcxysX79ecHNzE4yNjYX27dsL8+bNU1mfl5cndOnSRTA1NVV7rSAIwt27d4VWrVoJiYmJNbYlISFBaNOmjXDnzh1hzJgxgqOjo2BiYiK0bdtW+OCDD4Tbt28LgiAIH3zwgdCxY0fB1NRUsLW1FYKDg4Xff/9dEAT1G04IgiAsWbJEeOGFFwRzc3Nh6NChwpw5cwR7e3vlek1u2qvJ8frtt98KL774omBqair06tVLSEtL4w0nNMSsaoZ5ZV4bG7OqGWaVWW1szKpmmFVmtbExq5phVplVfcC81o9ZZVb1gaY3NJUIwmMXQa/B4cOH0a1bNxQUFMDLy+vpZvNFavXq1QgKCnqu9wGpGz9+PE6cOIG9e/c2dlPo/zGrVBvmVb8wq1QbZlW/MKtUG2ZVvzCrVBtmVf8wr1QTZlX/aDof3iCXhSFqqj799FMEBATAwsIC2dnZWLFihcrpRkSkP5hXInFgVonEgVklEgdmlUgcmNWmg5PrRFo4ePAgEhMTcfPmTbi4uGD+/PkIDQ1t7GYRUQ2YVyJxYFaJxIFZJRIHZpVIHJjVpoOT60RaWLduXWM3gYg0xLwSiQOzSiQOzCqRODCrROLArDYdBo3dACIiIiIiIiIiIiIiseHkOhERERERERERERGRlji5TkRERERERERERESkJU6uExERERERERERERFpSasbmmZlZaGkpKSh2qLXcnNzATzf+4BIDJhVInFgVonEgVklEgdmlUg8mFcicSgrK9OonEQQBKG+Qnl5eejVqxeqqqqeumFiJjGQQFDUu7uIqJEZGBhAoVA0djOIqB7MKpE4cAxMJA7MKpF4cBxMJA6GhobYu3cvevbsWWsZjX65bmpqiqqqKqSnp0Mmk+msgWKSlZWFmTNnImhxEOykdo3dHCKqRfEPxciOzX6uP6+IxKC6X2VWifQbx8BE4lA9BmZWifQf/2YlEoeSkhIEBQXB1NS0znJaXRZGJpPBy8vrqRomVtWn6thJ7eAod2zk1hBRbS79fAnA8/15RSQG1f0qs0qk3zgGJhKH6jEws0qk//g3K1HTwhuaEhERERERERERERFpiZPrRERERERERERERERa4uQ6EREREREREREREZGWOLlOTV54y3Ac23qssZsBQL/aQtSU7Nq1CxKJBNeuXWvspuhVW4j0jT7lQ5/aQtQQ9GncqU9tIdJH+pQRfWoLUVOhT+NOfWpLU6GTyfWQkBBIJBLEx8erLN+8eTMkEokuNqFT9+/fx0cffQQPDw9YWFigbdu2ePvtt/Hbb781dtOee2UHyxDROgJLRi/RWZ0xJTFw83fTWX1ETYEuP7ednZ2RkpKicfm4uDgYGhpi3rx5Wm2nLq+88grKy8thbW2tszqJ9AGzSvR84BiYSDyYV6KGxzEwiYnOfrluZmaGhIQEVFRU6KpKAMC9e/d0Wh8AVFZW4vDhw5g5cyYOHz6MjRs3orS0FIMHD9b5tkg7B9IPoNf4XjiVdwrXy6/rpE4rOysYmRrppC6ipqShPrfrk5aWhmnTpiEtLU1ndZqYmMDe3l4vv9AlelrMKlHTxzEwkXgwr0TPBsfAJBY6m1z39/eHvb094uLiai0THR0NT09PlWUpKSlwdnZWPg8JCcHQoUMRGxuLtm3bwtXVFQCwcOFCdOrUCWZmZrCzs8PIkSOVr1EoFIiLi0OHDh1gbm4OuVyO9evX19oOa2trbN++HaNGjYKrqytefvllfPHFFygoKMC5c+eebAfQU7t76y6ObD4Cn3d94BbghoMZB5XrKq9VYtV7q/Bxp48R2TYSc7rPwYHVBwAAD+49wPpp6zFLNgtTHabiky6fYPtn25Wvffy0trIDZUj0TcRUh6lIei0Jx7YeQ3jLcJwvOg8AOPnjSYS3DMfPu39G0mtJiHwhEin9UnDp5CWV9hZlFeFTv08x1WEqZnedjW0J21D1oEq5/sqpK5g/cD6mOkxF3MtxKN1Z2iD7jehJafK5DQAbNmyAu7s7TE1N4ezsjKSkJOU6Pz8/nD17FhEREZBIJPUOFnbv3o3bt28jJiYGN27cwL59+1TWHz16FH369IGlpSWsrKzQrVs35OfnAwDOnj2LQYMGwcbGBhYWFnB3d0dWVhaAmk9tW7p0KRwdHdGsWTMMGzYMycnJaNGihXJ9dZ+0atUqODs7w9raGmPGjMHNmzeVZTTpX7KysiCVSmFubo4+ffrgzJkzde4DIm0xq8wqNW0cAxOJB/NK9OxwDMwxsFjo7KtRQ0NDzJ07F2+99RYmTZqEdu3aPXFdO3bsgJWVFbZvf9jZ5OfnY9KkSVi1ahVeeeUVXL16FXv37lWWj4uLQ3p6OhYtWoROnTphz549CAoKgq2tLXr37q3RNq9fvw6JRKJyINOzdWTzEbTp1AZ2nezQfVR3bPr3JvhH+EMikSBrbhYull7E++veh0UrC/x++nfcv3MfALBn8R78lP0TxqWNg007G1y7cA0VF2r+ZvPOjTtY+tZSuAW44e0lb+Pqr1ex6eNNNZbdOmcrhsweguatmmPdlHVYM3ENPtz2IQDgVN4prP7nagyPHw6Xni74o+wPrI1YCwDo/1F/KBQKpL2dBss2lojYHoE7N+5g079r3g5RY9Hkc7ugoACjRo1CdHQ0Ro8ejX379uFf//oXWrVqhZCQEGzcuBFyuRzvvfcexo8fX+82U1NTERgYCGNjYwQGBiI1NRWvvPKKcv3YsWPRtWtXfPXVVzA0NERhYSGMjY0BABMmTMC9e/ewZ88eWFhYoLi4GM2bN69xO7m5uQgLC0NCQgIGDx6MH374ATNnzlQrd+rUKWzevBmZmZmoqKjAqFGjEB8fj9jYWAD19y+//vorhg8fjgkTJuC9995Dfn4+pkyZotH+J9IUs8qsUtPGMTCReDCvRM8Ox8AcA4uFTs87GjZsGDw9PREVFYXU1NQnrsfCwgL//e9/YWJiAgDYuHEjLCws8Oabb8LS0hJOTk7o2rUrAODu3buYO3cufvjhB/Ts2RMA4OLigh9//BGLFy/WaHL9zp07+OijjxAYGAgrK6snbjc9nQPpB9D9790BAJ37dsbtG7fxS+4v6PRqJ1Scr8ALHi+gfdf2AIBW7VspX1dxoQK2HW3h8rILJBIJWjq2rHUbBRsKIJFIMDplNIzNjGHf2R7Xy69jbfhatbID/zMQL/q8CADwD/fHktFLcP/OfRibGeO7xO/QN7wvvAO9AQCtnVvjjX+/gS3RW9D/o/74edfPuHTyEsLWh8HawVpZ3+JRi3Wzs4h0pL7P7eTkZPTt21fZ0UulUhQXF2PevHkICQlBy5YtYWhoCEtLS9jb29e5rRs3bmD9+vXIy8sDAAQFBaFXr174/PPPlYOOc+fOITIyEp07dwYAdOrUSfn6c+fOYcSIEfDw8ADw8LO+NgsWLMCAAQMwdepUZbv37duHzMxMlXIKhQLLly+HpaUlACA4OBg7duxAbGysRv3LV199hY4dOyp/HeHq6oqioiIkJCTUuS+ItMWsMqvUdHEMTCQezCvRs8UxMMfAYqCzy8JUS0hIwIoVK1BSUvLEdXh4eCgn1gEgICAATk5OcHFxQXBwMFavXo3KykoAwC+//ILKykoEBASgefPmysfKlStx6tSperd1//59jBo1CoIg4KuvvnriNtPTuXTyEs4ePguvEV4AAEMjQ3Qd1hUH0h+eRufzjg+ObDqCRN9EbInagrIDZcrXegd640LRBcz1nosN0zfgRM6JWrdz+eRltHVvC2MzY+Uyp25ONZZt695W+W8ru4dfutz6/RYA4MJPF/D9vO8xzXGa8rE2fC1uXLyBe5X3cOnnS7B5wUY5SAEAZ29nLfcK0bNR1+d2SUkJfHx8VJb5+Pjg5MmTqKqqUitfl4yMDHTs2BFyuRwA4OnpCScnJ6xd++gPhcmTJyM0NBT+/v6Ij49X+RyfNGkS5syZAx8fH0RFReHYsWNq26hWWloKb29vlWWPPwce3tymeqACAA4ODrh8+TIAzfqXkpISvPTSSyp1Vg9siHSNWWVWqenhGJhIPJhXosbBMTDHwPpO53fM8PX1Rb9+/TBjxgyEhISorDMwMIAgCCrL7t+/r1aHhYWFynNLS0scPnwYu3btwvfff49Zs2YhOjoahw4dwq1bDzuOrVu34oUXXlB5nampaZ1trZ5YP3v2LHJycvir9UZ0IP0AFA8UiHKLUi4TBAFGpkYYkTgCbgFuiDoaheLtxSjdVYqFwxbi1X+8iiGzh8BR7ohZR2ah+Idi/Lz7Zyx/dzlce7vinRXvPFWbDIz/8t3T/1+WS6FQAADu/XkP/af3R5c3u6i9zsiMN6Ihcanrc1uXUlNTcfz4cRgZPcqIQqFAWloa/vGPfwB4eF25t956C1u3bkV2djaioqKwZs0aDBs2DKGhoejXrx+2bt2K77//HnFxcUhKSsLEiROfuE3Vp/BVk0gkypw/Tf9C1BCY1UeYVWoqOAYmEg/mlahxcAz8CMfA+qlBPlHj4+Ph6empvBlpNVtbW1y8eBGCIChvIlBYWKhRnUZGRvD394e/vz+ioqLQokUL5OTkICAgAKampjh37pzG11cHHk2snzx5Ejt37kSrVq3qfxE1iKoHVTi09hCGzB6Czn06q6xLDU7F4Q2H4fOOD5q3bg7vQG94B3ojt2cutszagiGzhwAAzKzM4DXcC17DvSAfLMfivy/GnxV/wsJG9YuaNp3aIP+bfDy4+0B5N/Zzh7W/iW27Lu1w+eRl2LrY1rjeTmqHigsVuH7xOqztH/4S4MyhM1pvh+hZqe1zWyaTITc3V2VZbm4upFIpDA0NATy883l9vwooKipCfn4+du3ahZYtH50Ge/XqVfj5+eHEiRPKU+ukUimkUikiIiIQGBiIZcuWYdiwYQAAR0dHhIWFISwsDDNmzMDSpUtrHKy4urri0KFDKssef14fNze3evsXmUyGLVu2qCzbv3+/Vtsh0gazqo5ZJbHiGJhIPJhXosbFMbA6joH1R4NMrnt4eGDs2LGYP3++ynI/Pz9cuXIFiYmJGDlyJLZt24bs7Ox6fzGemZmJ06dPw9fXFzY2NsjKyoJCoYCrqyssLS0xdepUREREQKFQ4NVXX8X169eRm5sLKysrjBs3Tq2++/fvY+TIkTh8+DAyMzNRVVWFixcvAgBatmypckkaanjHvzuOymuVeDn4ZZhbmaus6zKoC/an78f18utw9HSEfWd7PLj7AMXfFcNOagcA2PnlTljZW6GdRztIDCQ4+r+jsLKzgrm1udq2uo3ohq1ztmJtxFr0/bAvKs5XIOeLHACo967Rf/V65OtYGrgUNu1sIB8sh8RAgt9++g3lJ8ox8OOBkPpJ0aZjG3z9r68xOGYw7ty8g6zYrKfYS0QNq7bP7SlTpqBHjx6YPXs2Ro8ejby8PHzxxRdYuHChsoyzszP27NmDMWPGwNTUFK1bt1arPzU1Fd7e3vD19VVb16NHD6SmpiImJgaRkZEYOXIkOnTogPPnz+PQoUMYMWIEACA8PBwDBgyAVCpFRUUFdu7cCZlMVuP7mThxInx9fZGcnIxBgwYhJycH2dnZWuVck/4lLCwMSUlJiIyMRGhoKAoKCrB8+XKNt0GkLWZVHbNKYsUxMJF4MK9EjYtjYHUcA+sPnV9zvVpMTIzyVIVqMpkMCxcuxJdffgm5XI6DBw8qL95flxYtWmDjxo147bXXIJPJsGjRImRkZMDd3R0AMHv2bMycORNxcXGQyWTo378/tm7dig4dOtRY34ULF7BlyxacP38enp6ecHBwUD727dv39G+etHIg/QBce7uqDVIAQD5Ijl+P/AoDIwNkxmQisVciFry5ABJDCcalPvzixKy5GXLm5yCpbxKS+ybj6q9X8d7a92BgoH54m1mZYfzX43Gh6ALm9Z6HrNgs9JvWDwCUvwrQhKyvDOMzxqN0ZymS/ZOR8noKdn21Cy3bPfyG08DAAO+uehf379xHsn8y1ny4Bm98/MaT7B6iZ6amz20vLy+sW7cOa9aswd/+9jfMmjULMTExKqfjxcTE4MyZM+jYsSNsbdV/GXPv3j2kp6crBx2PGzFiBFauXAkDAwP88ccfePvttyGVSjFq1CgMGDAAn3zyCQCgqqoKEyZMUH7OS6VSlUHTX/n4+GDRokVITk6GXC7Htm3bEBERATMzM632SX39S/v27bFhwwZs3rwZcrkcixYtwty5c7XaBpG2mFV1zCqJEcfAROLBvBI1Po6B1XEMrB8kwuMXQa/B4cOH0a1bNxQUFMDLy+tZtEvvrF69GkFBQZiycwoc5Y6N3RzSofxv8pHxQQbizsTBxJxnLYhd/jf5SH8//bn+vKKajR8/HidOnMDevXsbuymER/0qs0qPY1b1C8fATRfHwE1L9RiYWW2amNemhX+zUk04BtY/ms6H8y4W9Nw5uOYgWju3hrWDNS78dAHfRn8Lz6GeHKQQNTGffvopAgICYGFhgezsbKxYsaLWXw4QUeNhVomeDY6BicSDeSVq+jgGbjo4uU7PnZuXbyI7Lhs3L9+ElZ0VPId4YuB/BjZ2s4hIxw4ePIjExETcvHkTLi4umD9/PkJDQxu7WUT0GGaV6NngGJhIPJhXoqaPY+Cmg5Pr9NzpO6kv+k7q29jNIKIGtm7dusZuAhFpgFklejY4BiYSD+aVqOnjGLjpaLAbmhIRERERERERERERNVWcXCciIiIiIiIiIiIi0hIn14mIiIiIiIiIiIiItKTVNdezsrJQUlLSUG3Ra7m5uQCA4h+KcennS43cGiKqzekDpwE8359XRGJQ3a8yq0T6jWNgInGoHgMzq0T6j3+zEolDWVmZRuUkgiAI9RXKy8tDr169UFVV9dQNEzOJgQSCot7dRUSNzMDAAAqForGbQUT1YFaJxIFjYCJxYL9KJB7MK5E4GBoaYu/evejZs2etZTT65bqpqSmqqqqQnp4OmUymswaKSVZWFmbOnImgxUGwk9o1dnOIqBbFPxQjOzb7uf68IhKD6n6VWSXSbxwDE4kDx8BE4sFxMJE4lJSUICgoCKampnWW0+qyMDKZDF5eXk/VMLGqPlXHTmoHR7ljI7eGiGpTfRrs8/x5RSQG1f0qs0qk3zgGJhIHjoGJxIPjYKKmhTc0JSIiIiIiIiIiIiLSEifXiYiIiIiIiIiIiIi0xMl1IiIiIiIiIiIiIiItcXKdmrzwluE4tvVYYzcDgH61hagp2bVrFyQSCa5du9bYTdGrthDpG33Khz61hagh6NO4U5/aQtSU6FNfpk9tIdI3+pQPfWpLU6GTyfWQkBBIJBLEx8erLN+8eTMkEokuNqFz0dHR6Ny5MywsLGBjYwN/f38cOHCgsZv13Cs7WIaI1hFYMnqJzuqMKYmBm7+bzuojagp0+bnt7OyMlJQUjcvHxcXB0NAQ8+bN02o7dXnllVdQXl4Oa2trndVJpA+YVaLnA8fARM8G+1UicWBWSUx09st1MzMzJCQkoKKiQldVAgDu3bun0/qqSaVSfPHFFygqKsKPP/4IZ2dnvP7667hy5UqDbI80cyD9AHqN74VTeadwvfy6Tuq0srOCkamRTuoiakoa6nO7PmlpaZg2bRrS0tJ0VqeJiQns7e319gtdoqfBrBI1fRwDEz077FeJxIFZJbHQ2eS6v78/7O3tERcXV2uZ6OhoeHp6qixLSUmBs7Oz8nlISAiGDh2K2NhYtG3bFq6urgCAhQsXolOnTjAzM4OdnR1GjhypfI1CoUBcXBw6dOgAc3NzyOVyrF+/vs72vvXWW/D394eLiwvc3d2RnJyMGzdu4Ngxnq7YWO7euosjm4/A510fuAW44WDGQeW6ymuVWPXeKnzc6WNEto3EnO5zcGD1wzMNHtx7gPXT1mOWbBamOkzFJ10+wfbPtitf+/hpqGUHypDom4ipDlOR9FoSjm09hvCW4ThfdB4AcPLHkwhvGY6fd/+MpNeSEPlCJFL6peDSyUsq7S3KKsKnfp9iqsNUzO46G9sStqHqQZVy/ZVTVzB/4HxMdZiKuJfjULqztEH2G9GT0uRzGwA2bNgAd3d3mJqawtnZGUlJScp1fn5+OHv2LCIiIiCRSOodLOzevRu3b99GTEwMbty4gX379qmsP3r0KPr06QNLS0tYWVmhW7duyM/PBwCcPXsWgwYNgo2NDSwsLODu7o6srCwANZ/atnTpUjg6OqJZs2YYNmwYkpOT0aJFC+X66j5p1apVcHZ2hrW1NcaMGYObN28qy2jSv2RlZUEqlcLc3Bx9+vTBmTNn6twHRNpiVplVato4BiZ6ttivsl8lcWBWmVWx0NlPGQwNDTF37ly89dZbmDRpEtq1a/fEde3YsQNWVlbYvv3h4DA/Px+TJk3CqlWr8Morr+Dq1avYu3evsnxcXBzS09OxaNEidOrUCXv27EFQUBBsbW3Ru3fverd37949LFmyBNbW1pDL5U/cbno6RzYfQZtObWDXyQ7dR3XHpn9vgn+EPyQSCbLmZuFi6UW8v+59WLSywO+nf8f9O/cBAHsW78FP2T9hXNo42LSzwbUL11BxoeZvNu/cuIOlby2FW4Ab3l7yNq7+ehWbPt5UY9mtc7ZiyOwhaN6qOdZNWYc1E9fgw20fAgBO5Z3C6n+uxvD44XDp6YI/yv7A2oi1AID+H/WHQqFA2ttpsGxjiYjtEbhz4w42/bvm7RA1Fk0+twsKCjBq1ChER0dj9OjR2LdvH/71r3+hVatWCAkJwcaNGyGXy/Hee+9h/Pjx9W4zNTUVgYGBMDY2RmBgIFJTU/HKK68o148dOxZdu3bFV199BUNDQxQWFsLY2BgAMGHCBNy7dw979uyBhYUFiouL0bx58xq3k5ubi7CwMCQkJGDw4MH44YcfMHPmTLVyp06dwubNm5GZmYmKigqMGjUK8fHxiI2NBVB///Lrr79i+PDhmDBhAt577z3k5+djypQpGu1/Ik0xq8wqNW0cAxM9W+xX2a+SODCrzKpY6PQ8wWHDhsHT0xNRUVFITU194nosLCzw3//+FyYmJgCAjRs3wsLCAm+++SYsLS3h5OSErl27AgDu3r2LuXPn4ocffkDPnj0BAC4uLvjxxx+xePHiOifXMzMzMWbMGFRWVsLBwQHbt29H69atn7jd9HQOpB9A9793BwB07tsZt2/cxi+5v6DTq51Qcb4CL3i8gPZd2wMAWrVvpXxdxYUK2Ha0hcvLLpBIJGjp2LLWbRRsKIBEIsHolNEwNjOGfWd7XC+/jrXha9XKDvzPQLzo8yIAwD/cH0tGL8H9O/dhbGaM7xK/Q9/wvvAO9AYAtHZujTf+/Qa2RG9B/4/64+ddP+PSyUsIWx8GawdrZX2LRy3Wzc4i0pH6PreTk5PRt29fZUcvlUpRXFyMefPmISQkBC1btoShoSEsLS1hb29f57Zu3LiB9evXIy8vDwAQFBSEXr164fPPP1cOOs6dO4fIyEh07twZANCpUyfl68+dO4cRI0bAw8MDwMPP+tosWLAAAwYMwNSpU5Xt3rdvHzIzM1XKKRQKLF++HJaWlgCA4OBg7NixA7GxsRr1L1999RU6duyo/HWEq6srioqKkJCQUOe+INIWs8qsUtPFMTDRs8d+lf0qiQOzyqyKgc4uC1MtISEBK1asQElJyRPX4eHhoZxYB4CAgAA4OTnBxcUFwcHBWL16NSorKwEAv/zyCyorKxEQEIDmzZsrHytXrsSpU6fq3E6fPn1QWFiIffv2oX///hg1ahQuX778xO2mJ3fp5CWcPXwWXiO8AACGRoboOqwrDqQ/PO3V5x0fHNl0BIm+idgStQVlB8qUr/UO9MaFoguY6z0XG6ZvwImcE7Vu5/LJy2jr3hbGZsbKZU7dnGos29a9rfLfVnZWAIBbv98CAFz46QK+n/c9pjlOUz7Whq/FjYs3cK/yHi79fAk2L9go/6gAAGdvZy33CtGzUdfndklJCXx8fFSW+fj44OTJk6iqqlIrX5eMjAx07NhReYaQp6cnnJycsHbtoz/sJ0+ejNDQUPj7+yM+Pl7lc3zSpEmYM2cOfHx8EBUVVedlvEpLS+Ht7a2y7PHnwMOb21QPVADAwcFB2Q9o0r+UlJTgpZdeUqmzemBDpGvMKrNKTQ/HwESNh/0q+1USB2aVWdV3Op9c9/X1Rb9+/TBjxgz1jRkYQBAElWX3799XK2dhYaHy3NLSEocPH0ZGRgYcHBwwa9YsyOVyXLt2DbduPRzobd26FYWFhcpHcXFxvdddt7CwwIsvvoiXX34ZqampMDIyeqpf3NOTO5B+AIoHCkS5RWGy7WRMtp2M3LRcHP32KG7fuA23ADdEHY2C3z/9cP3idSwcthD/m/k/AICj3BGzjszCgBkDcP/2fSx/dzmWjVv21G0yMP5LPP7/slwKhQIAcO/Pe+g/vT8id0cqH9N+nIaP8z+GkRlvHEXiUtfnti6lpqbi+PHjMDIyUj6Ki4tVbhQTHR2N48ePY+DAgcjJyYGbmxs2bXp4OnloaChOnz6N4OBgFBUVoXv37liwYMFTtan6FL5qEolEmfOn6V+IGgKz+gizSk0Fx8BEjYf96iPsV0mfMauPMKv6qUFGQPHx8fD09FTejLSara0tLl68CEEQlDcRKCws1KhOIyMj+Pv7w9/fH1FRUWjRogVycnIQEBAAU1NTnDt3TqPrq9dFoVDg7t27T1UHaa/qQRUOrT2EIbOHoHOfzirrUoNTcXjDYfi844PmrZvDO9Ab3oHeyO2Ziy2ztmDI7CEAADMrM3gN94LXcC/IB8ux+O+L8WfFn7CwUf2ipk2nNsj/Jh8P7j6AkenDw//c4XNat7ldl3a4fPIybF1sa1xvJ7VDxYUKXL94Hdb2D3+5c+bQGa23Q/Ss1Pa5LZPJkJubq7IsNzcXUqkUhoaGAB7e+by+XwUUFRUhPz8fu3btQsuWj05bv3r1Kvz8/HDixAnlqXVSqRRSqRQREREIDAzEsmXLMGzYMACAo6MjwsLCEBYWhhkzZmDp0qWYOHGi2vZcXV1x6NAhlWWPP6+Pm5tbvf2LTCbDli1bVJbt379fq+0QaYNZVcesklhxDEzU+NivqmO/SvqIWVXHrOqPBplc9/DwwNixYzF//nyV5X5+frhy5QoSExMxcuRIbNu2DdnZ2bCysqqzvszMTJw+fRq+vr6wsbFBVlYWFAoFXF1dYWlpialTpyIiIgIKhQKvvvoqrl+/jtzcXFhZWWHcuHFq9f3555+IjY3F4MGD4eDggN9//x1ffvklLly4gL///e863RdUv+PfHUfltUq8HPwyzK3MVdZ1GdQF+9P343r5dTh6OsK+sz0e3H2A4u+KYSe1AwDs/HInrOyt0M6jHSQGEhz931FY2VnB3NpcbVvdRnTD1jlbsTZiLfp+2BcV5yuQ80UOANR71+i/ej3ydSwNXAqbdjaQD5ZDYiDBbz/9hvIT5Rj48UBI/aRo07ENvv7X1xgcMxh3bt5BVmzWU+wlooZV2+f2lClT0KNHD8yePRujR49GXl4evvjiCyxcuFBZxtnZGXv27MGYMWNgampa470rUlNT4e3tDV9fX7V1PXr0QGpqKmJiYhAZGYmRI0eiQ4cOOH/+PA4dOoQRI0YAAMLDwzFgwABIpVJUVFRg586dkMlkNb6fiRMnwtfXF8nJyRg0aBBycnKQnZ2tVc416V/CwsKQlJSEyMhIhIaGoqCgAMuXL9d4G0TaYlbVMaskVhwDEzU+9qvq2K+SPmJW1TGr+kPnl4WpFhMTozxVoZpMJsPChQvx5ZdfQi6X4+DBg8qL99elRYsW2LhxI1577TXIZDIsWrQIGRkZcHd3BwDMnj0bM2fORFxcHGQyGfr374+tW7eiQ4cONdZnaGiIEydOYMSIEZBKpRg0aBD++OMP7N27V1knPTsH0g/Atber2h8VACAfJMevR36FgZEBMmMykdgrEQveXACJoQTjUh9+cWLW3Aw583OQ1DcJyX2TcfXXq3hv7XswMFA/vM2szDD+6/G4UHQB83rPQ1ZsFvpN6wcAyl/xaELWV4bxGeNRurMUyf7JSHk9Bbu+2oWW7R5+w2lgYIB3V72L+3fuI9k/GWs+XIM3Pn7jSXYP0TNT0+e2l5cX1q1bhzVr1uBvf/sbZs2ahZiYGISEhKi87syZM+jYsSNsbdV/yXbv3j2kp6crBx2PGzFiBFauXAkDAwP88ccfePvttyGVSjFq1CgMGDAAn3zyCQCgqqoKEyZMUH7OS6VSlUHTX/n4+GDRokVITk6GXC7Htm3bEBERATMzM632SX39S/v27bFhwwZs3rwZcrkcixYtwty5c7XaBpG2mFV1zCqJEcfARPqB/ao69qukj5hVdcyqfpAIj18EvQaHDx9Gt27dUFBQAC8vr2fRLr2zevVqBAUFYcrOKXCUOzZ2c0iH8r/JR8YHGYg7EwcTc5P6X0B6Lf+bfKS/n/5cf15RzcaPH48TJ05g7969jd0UwqN+lVmlxzGr+oVj4KaLY+CmhWNgqg37Vf3DcTDVhFnVP5rOh/OuM/TcObjmIFo7t4a1gzUu/HQB30Z/C8+hnvyjgqiJ+fTTTxEQEAALCwtkZ2djxYoVtf5ygIgaD7NK9GxwDEz0fGC/SiQOzGrTwcl1eu7cvHwT2XHZuHn5JqzsrOA5xBMD/zOwsZtFRDp28OBBJCYm4ubNm3BxccH8+fMRGhra2M0ioscwq0TPBsfARM8H9qtE4sCsNh2cXKfnTt9JfdF3Ut/GbgYRNbB169Y1dhOISAPMKtGzwTEw0fOB/SqRODCrTUeD3dCUiIiIiIiIiIiIiKip4uQ6EREREREREREREZGWOLlORERERERERERERKQlTq4TEREREREREREREWlJqxuaZmVloaSkpKHaotdyc3MBAMU/FOPSz5cauTVEVJvTB04DeL4/r4jEoLpfZVaJ9BvHwETiwDEwkXhwHEwkDmVlZRqVkwiCINRXKC8vD7169UJVVdVTN0zMDAwMoFAoGrsZRFQPZpVIHJhVInFgVonEgVklEg/mlUgcDA0NsXfvXvTs2bPWMhr9ct3U1BRVVVVIT0+HTCbTWQPFJCsrCzNnznyu9wGRGDCrROLArBKJA7NKJA7MKpF4MK9E4lBSUoKgoCCYmprWWU6ry8LIZDJ4eXk9VcPEqvpUned5HxCJAbNKJA7MKpE4MKtE4sCsEokH80rUtPCGpkREREREREREREREWuLkOhERERERERERERGRlji5TkRERERERERERESkJU6uE9Vi165dkEgkuHbtWmM3Ra/aQqSP9Ckj+tQWIn2jT/nQp7YQ6Rt9yoc+tYVI3+hTPvSpLUT6Rp/yoU9taSp0MrkeEhICiUSC+Ph4leWbN2+GRCLRxSYaVFhYGCQSCVJSUhq7KaKmy+PA2dlZq/+PuLg4GBoaYt68eVptpy6vvPIKysvLYW1trbM6ifQF80okDswqkTgwq0TiwKwSiQOzSmKis1+um5mZISEhARUVFbqqEgBw7949ndb3uE2bNmH//v1o27Ztg27nedFQx0F90tLSMG3aNKSlpemsThMTE9jb24viCyKiJ8G8EokDs0okDswqkTgwq0TiwKySWOhsct3f3x/29vaIi4urtUx0dDQ8PT1VlqWkpMDZ2Vn5PCQkBEOHDkVsbCzatm0LV1dXAMDChQvRqVMnmJmZwc7ODiNHjlS+RqFQIC4uDh06dIC5uTnkcjnWr19fb5svXLiAiRMnYvXq1TA2NtbuDVONNDkOAGDDhg1wd3eHqakpnJ2dkZSUpFzn5+eHs2fPIiIiAhKJpN4Pn927d+P27duIiYnBjRs3sG/fPpX1R48eRZ8+fWBpaQkrKyt069YN+fn5AICzZ89i0KBBsLGxgYWFBdzd3ZGVlQWg5lNlli5dCkdHRzRr1gzDhg1DcnIyWrRooVxffYyvWrUKzs7OsLa2xpgxY3Dz5k1lGU2O16ysLEilUpibm6NPnz44c+ZMnfuA6Ekwr8wriQOzyqySODCrzCqJA7PKrJI4MKvMqljobHLd0NAQc+fOxYIFC3D+/PmnqmvHjh0oLS3F9u3bkZmZifz8fEyaNAkxMTEoLS3Ftm3b4OvrqywfFxeHlStXYtGiRTh+/DgiIiIQFBSE3bt317oNhUKB4OBgREZGwt3d/anaS49ochwUFBRg1KhRGDNmDIqKihAdHY2ZM2di+fLlAICNGzeiXbt2iImJQXl5OcrLy+vcZmpqKgIDA2FsbIzAwECkpqaqrB87dizatWuHQ4cOoaCgANOnT1d+mTJhwgTcvXsXe/bsQVFRERISEtC8efMat5Obm4uwsDB8+OGHKCwsREBAAGJjY9XKnTp1Cps3b0ZmZiYyMzOxe/dulVOZ6jtef/31VwwfPhyDBg1CYWEhQkNDMX369Dr3AdGTYF6ZVxIHZpVZJXFgVplVEgdmlVklcWBWmVXREDRQUFAgABAKCgpqXD9u3DhhyJAhgiAIwssvvyy8++67giAIwqZNm4S/biIqKkqQy+Uqr/3ss88EJycnlbrs7OyEu3fvKpdt2LBBsLKyEm7cuKG27Tt37gjNmjUT9u3bp7L8H//4hxAYGFjre5o7d64QEBAgKBQKQRAEwcnJSfjss89qLZ+enl7nPiDNj4O33npLCAgIUHltZGSk4Obmpnxe3/9HtevXrwvm5uZCYWGhIAiCcOTIEaF58+bCzZs3lWUsLS2F5cuX1/h6Dw8PITo6usZ1O3fuFAAIFRUVgiAIwujRo4WBAweqlBk7dqxgbW2tfB4VFSU0a9ZM5ViNjIwUXnrpJUEQNDteZ8yYobIvBEEQPvroI5W2UO2YVc0wr8xrY2NWNcOsMquNjVnVDLPKrDY2ZlUzzCqzqg+Y1/oxq8yqPqhvPryazn65Xi0hIQErVqxASUnJE9fh4eEBExMT5fOAgAA4OTnBxcUFwcHBWL16NSorKwEAv/zyCyorKxEQEIDmzZsrHytXrsSpU6dqrL+goACff/45li9fzusdNZC6joOSkhL4+PioLPPx8cHJkydRVVWl1XYyMjLQsWNHyOVyAICnpyecnJywdu1aZZnJkycjNDQU/v7+iI+PVzkuJk2ahDlz5sDHxwdRUVE4duxYrdsqLS2Ft7e3yrLHnwMPb5ZhaWmpfO7g4IDLly8D0Ox4LSkpwUsvvaRSZ8+ePTXdJURaY16ZVxIHZpVZJXFgVplVEgdmlVklcWBWmVV9p/PJdV9fX/Tr1w8zZsxQ35iBAQRBUFl2//59tXIWFhYqzy0tLXH48GFkZGTAwcEBs2bNglwux7Vr13Dr1i0AwNatW1FYWKh8FBcX13rd9b179+Ly5cto3749jIyMYGRkhLNnz2LKlCkq13+nJ1fXcaBLqampOH78uPL/0cjICMXFxSo3noiOjsbx48cxcOBA5OTkwM3NDZs2bQIAhIaG4vTp0wgODkZRURG6d++OBQsWPFWbHr9+v0QigUKhAIAnOl6JGhrz+gjzSvqMWX2EWSV9xqw+wqySPmNWH2FWSZ8xq48wq/rJqCEqjY+Ph6enp/JmpNVsbW1x8eJFCIKg/MV4YWGhRnUaGRnB398f/v7+iIqKQosWLZCTk4OAgACYmpri3Llz6N27t0Z1BQcHw9/fX2VZv379EBwcjHfeeUejOqh+tR0HMpkMubm5Kstyc3MhlUphaGgI4OGdlOv7lrGoqAj5+fnYtWsXWrZsqVx+9epV+Pn54cSJE+jcuTMAQCqVQiqVIiIiAoGBgVi2bBmGDRsGAHB0dERYWBjCwsIwY8YMLF26FBMnTlTbnqurKw4dOqSy7PHn9XFzc6v3eJXJZNiyZYvKsv3792u1HSJtMa/qmFfSR8yqOmaV9BGzqo5ZJX3ErKpjVkkfMavqmFX90SCT6x4eHhg7dizmz5+vstzPzw9XrlxBYmIiRo4ciW3btiE7OxtWVlZ11peZmYnTp0/D19cXNjY2yMrKgkKhgKurKywtLTF16lRERERAoVDg1VdfxfXr15GbmwsrKyuMGzdOrb5WrVqhVatWKsuMjY1hb2+vFlR6crUdB1OmTEGPHj0we/ZsjB49Gnl5efjiiy+wcOFCZRlnZ2fs2bMHY8aMgampKVq3bq1Wf2pqKry9vVVublutR48eSE1NRUxMDCIjIzFy5Eh06NAB58+fx6FDhzBixAgAQHh4OAYMGACpVIqKigrs3LkTMpmsxvczceJE+Pr6Ijk5GYMGDUJOTg6ys7O1urSQJsdrWFgYkpKSEBkZidDQUBQUFChvxkHUUJhXdcwr6SNmVR2zSvqIWVXHrJI+YlbVMaukj5hVdcyqHtHFBdz/eqOBamVlZYKJiYnw+Ca++uorwdHRUbCwsBDefvttITY2Vu2Gpo/XtXfvXqF3796CjY2NYG5uLnTp0kVYu3atcr1CoRBSUlIEV1dXwdjYWLC1tRX69esn7N69W5O3JwgCb2iqC9ocB+vXrxfc3NwEY2NjoX379sK8efNU1ufl5QldunQRTE1N1V4rCIJw9+5doVWrVkJiYmKNbUlISBDatGkj3LlzRxgzZozg6OgomJiYCG3bthU++OAD4fbt24IgCMIHH3wgdOzYUTA1NRVsbW2F4OBg4ffffxcEQf2GE4IgCEuWLBFeeOEFwdzcXBg6dKgwZ84cwd7eXrlek5v2anK8fvvtt8KLL74omJqaCr169RLS0tJ4wwkNMauaYV6Z18bGrGqGWWVWGxuzqhlmlVltbMyqZphVZlUfMK/1Y1aZVX2g6Q1NJYLw2EXQa3D48GF069YNBQUF8PLy0sGUvvisXr0aQUFBz/U+IHXjx4/HiRMnsHfv3sZuCv0/ZpVqw7zqF2aVasOs6hdmlWrDrOoXZpVqw6zqH+aVasKs6h9N58Mb5LIwRE3Vp59+ioCAAFhYWCA7OxsrVqxQOd2IiPQH80okDswqkTgwq0TiwKwSiQOz2nRwcp1ICwcPHkRiYiJu3rwJFxcXzJ8/H6GhoY3dLCKqAfNKJA7MKpE4MKtE4sCsEokDs9p0cHKdSAvr1q1r7CYQkYaYVyJxYFaJxIFZJRIHZpVIHJjVpsOgsRtARERERERERERERCQ2nFwnIiIiIiIiIiIiItISJ9eJiIiIiIiIiIiIiLSk1TXXs7KyUFJS0lBt0Wu5ubkAnu99QCQGzCqRODCrROLArBKJA7NKJB7MK5E4lJWVaVROIgiCUF+hvLw89OrVC1VVVU/dMDEzMDCAQqFo7GYQUT2YVSJxkBhIICjqHYYQUSNjv0okDswqkXgwr0TiYGhoiL1796Jnz561ltHol+umpqaoqqpCeno6ZDKZzhooJllZWZg5c+ZzvQ+IxIBZJRKH6qwGLQ6CndSusZtDRLUo/qEY2bHZ7FeJ9BzHwETiwbwSiUNJSQmCgoJgampaZzmtLgsjk8ng5eX1VA0Tq+pTdZ7nfUAkBswqkThUZ9VOagdHuWMjt4aIanPp50sA2K8S6TuOgYnEg3klalp4Q1MiIiIiIiIiIiIiIi1xcp2IiIiIiIiIiIiISEucXCciIiIiIiIiIiIi0hIn14lqsWvXLkgkEly7dq2xm6JXbSHSR/qUEX1qC1FDCG8ZjmNbjzV2MwDoV1uImhJ96sv0qS1E+kaf8qFPbSHSN/qUD31qS1Ohk8n1kJAQSCQSxMfHqyzfvHkzJBKJLjahc9Vt/uujf//+jd0sUdPlceDs7IyUlBSNy8fFxcHQ0BDz5s3Tajt1eeWVV1BeXg5ra2ud1UmkL5hXoudD2cEyRLSOwJLRS3RWZ0xJDNz83XRWH1FTwH6VSByYVSJxYFZJTHT2y3UzMzMkJCSgoqJCV1UCAO7du6fT+v6qf//+KC8vVz4yMjIabFvPi4Y6DuqTlpaGadOmIS0tTWd1mpiYwN7eXm+/ICJ6WswrUdN3IP0Aeo3vhVN5p3C9/LpO6rSys4KRqZFO6iJqStivEokDs0okDswqiYXOJtf9/f1hb2+PuLi4WstER0fD09NTZVlKSgqcnZ2Vz0NCQjB06FDExsaibdu2cHV1BQAsXLgQnTp1gpmZGezs7DBy5EjlaxQKBeLi4tChQweYm5tDLpdj/fr19bbZ1NQU9vb2yoeNjY12b5rUaHIcAMCGDRvg7u4OU1NTODs7IykpSbnOz88PZ8+eRUREhPKsgrrs3r0bt2/fRkxMDG7cuIF9+/aprD969Cj69OkDS0tLWFlZoVu3bsjPzwcAnD17FoMGDYKNjQ0sLCzg7u6OrKwsADWfKrN06VI4OjqiWbNmGDZsGJKTk9GiRQvl+upjfNWqVXB2doa1tTXGjBmDmzdvKstocrxmZWVBKpXC3Nwcffr0wZkzZ+rcB0RPgnllXqlpu3vrLo5sPgKfd33gFuCGgxkHlesqr1Vi1Xur8HGnjxHZNhJzus/BgdUHAAAP7j3A+mnrMUs2C1MdpuKTLp9g+2fbla99/FIsZQfKkOibiKkOU5H0WhKObT2G8JbhOF90HgBw8seTCG8Zjp93/4yk15IQ+UIkUvql4NLJSyrtLcoqwqd+n2Kqw1TM7job2xK2oepBlXL9lVNXMH/gfEx1mIq4l+NQurO0QfYb0ZNiv8p+lcSBWWVWSRyYVWZVLHQ2uW5oaIi5c+diwYIFOH/+/FPVtWPHDpSWlmL79u3IzMxEfn4+Jk2ahJiYGJSWlmLbtm3w9fVVlo+Li8PKlSuxaNEiHD9+HBEREQgKCsLu3bvr3M6uXbvQpk0buLq64p///Cf++OOPp2o3aXYcFBQUYNSoURgzZgyKiooQHR2NmTNnYvny5QCAjRs3ol27doiJiVGeVVCX1NRUBAYGwtjYGIGBgUhNTVVZP3bsWLRr1w6HDh1CQUEBpk+fDmNjYwDAhAkTcPfuXezZswdFRUVISEhA8+bNa9xObm4uwsLC8OGHH6KwsBABAQGIjY1VK3fq1Cls3rwZmZmZyMzMxO7du1VOZarveP31118xfPhwDBo0CIWFhQgNDcX06dPr3AdET4J5ZV6paTuy+QjadGoDu0526D6qOw6sPgBBEAAAWXOzcLH0It5f9z6m75+Ov3/6d1i0sgAA7Fm8Bz9l/4RxaePw74P/RvCSYLRs37LGbdy5cQdL31qKtm5tMXXnVAyYMQDffvJtjWW3ztmKIbOHYMqOKTAwMsCaiWuU607lncLqf66G7/u+mJ43HaOSR+FgxkFsT3o4qa9QKJD2dhqMTIwQsT0Co5JH1bodosbCfpX9KokDs8qskjgwq8yqWOj0nN5hw4bB09MTUVFRagegNiwsLPDf//4XJiYmAB6GwcLCAm+++SYsLS3h5OSErl27AgDu3r2LuXPn4ocffkDPnj0BAC4uLvjxxx+xePFi9O7du8Zt9O/fH8OHD0eHDh1w6tQp/Pvf/8aAAQOQl5cHQ0PDJ2471X8cJCcno2/fvpg5cyYAQCqVori4GPPmzUNISAhatmwJQ0NDWFpawt7evs5t3bhxA+vXr0deXh4AICgoCL169cLnn3+u/BA7d+4cIiMj0blzZwBAp06dlK8/d+4cRowYAQ8PDwAPj53aLFiwAAMGDMDUqVOV7d63bx8yMzNVyikUCixfvhyWlpYAgODgYOzYsQOxsbEaHa9fffUVOnbsqPy21dXVVfnBTKRrzCvzSk3XgfQD6P737gCAzn074/aN2/gl9xd0erUTKs5X4AWPF9C+a3sAQKv2rZSvq7hQAduOtnB52QUSiQQtHWueWAeAgg0FkEgkGJ0yGsZmxrDvbI/r5dexNnytWtmB/xmIF31eBAD4h/tjyegluH/nPozNjPFd4nfoG94X3oHeAIDWzq3xxr/fwJboLej/UX/8vOtnXDp5CWHrw2DtYK2sb/GoxbrZWUQ6wn6V/SqJA7PKrJI4MKvMqhjo7Jfr1RISErBixQqUlJQ8cR0eHh7KiXUACAgIgJOTE1xcXBAcHIzVq1ejsrISAPDLL7+gsrISAQEBaN68ufKxcuVKnDp1qtZtjBkzBoMHD4aHhweGDh2KzMxMHDp0CLt27XridtMjdR0HJSUl8PHxUVnm4+ODkydPoqqqSq18XTIyMtCxY0fI5XIAgKenJ5ycnLB27aM/6idPnozQ0FD4+/sjPj5e5biYNGkS5syZAx8fH0RFReHYsWNq26hWWloKb29vlWWPPwce3iyj+oMPABwcHHD58mUAmh2vJSUleOmll1TqrP6gJGoIzCvzSk3PpZOXcPbwWXiN8AIAGBoZouuwrjiQ/vDSLz7v+ODIpiNI9E3ElqgtKDtQpnytd6A3LhRdwFzvudgwfQNO5JyodTuXT15GW/e2MDYzVi5z6uZUY9m27m2V/7ayswIA3Pr9FgDgwk8X8P287zHNcZrysTZ8LW5cvIF7lfdw6edLsHnBRjmxDgDO3s5a7hWiZ4P9KvtVEgdmlVklcWBWmVV9p/PJdV9fX/Tr1w8zZsxQ35iBgfJ05Gr3799XK2dhYaHy3NLSEocPH0ZGRgYcHBwwa9YsyOVyXLt2DbduPfyjbOvWrSgsLFQ+iouLNbruejUXFxe0bt0av/zyi8avodrVdRzoUmpqKo4fPw4jIyPlo7i4WOXGE9HR0Th+/DgGDhyInJwcuLm5YdOmTQCA0NBQnD59GsHBwSgqKkL37t2xYMGCp2pT9SlB1SQSCRQKBQDo7Hgl0iXm9RHmlZqKA+kHoHigQJRbFCbbTsZk28nITcvF0W+P4vaN23ALcEPU0Sj4/dMP1y9ex8JhC/G/mf8DADjKHTHryCwMmDEA92/fx/J3l2PZuGVP3SYD478MO///cpfVebv35z30n94fkbsjlY9pP07Dx/kfw8iMN08lcWG/+gj7VdJnzOojzCrpM2b1EWZVPzXIXyvx8fHw9PRU3oy0mq2tLS5evAhBEJQ3ESgsLNSoTiMjI/j7+8Pf3x9RUVFo0aIFcnJyEBAQAFNTU5w7d67WS8Bo4vz58/jjjz/g4ODwxHWQqtqOA5lMhtzcXJVlubm5kEqlykvymJiY1PstY1FREfLz87Fr1y60bPnolPWrV6/Cz88PJ06cUJ6qI5VKIZVKERERgcDAQCxbtgzDhg0DADg6OiIsLAxhYWGYMWMGli5diokTJ6ptz9XVFYcOHVJZ9vjz+ri5udV7vMpkMmzZskVl2f79+7XaDpG2mFd1zCuJVdWDKhxaewhDZg9B5z6dVdalBqfi8IbD8HnHB81bN4d3oDe8A72R2zMXW2ZtwZDZQwAAZlZm8BruBa/hXpAPlmPx3xfjz4o/YWGj+gOINp3aIP+bfDy4+wBGpg+HlecOn9O6ze26tMPlk5dh62Jb43o7qR0qLlTg+sXrsLZ/+Ov1M4fOaL0domeF/ao69qukj5hVdcwq6SNmVR2zqj8aZHLdw8MDY8eOxfz581WW+/n54cqVK0hMTMTIkSOxbds2ZGdnw8rKqs76MjMzcfr0afj6+sLGxgZZWVlQKBRwdXWFpaUlpk6dioiICCgUCrz66qu4fv06cnNzYWVlhXHjxqnVd+vWLXzyyScYMWIE7O3tcerUKUybNg0vvvgi+vXrp9N98Tyr7TiYMmUKevTogdmzZ2P06NHIy8vDF198gYULFyrLODs7Y8+ePRgzZgxMTU3RunVrtfpTU1Ph7e2tcnPbaj169EBqaipiYmIQGRmJkSNHokOHDjh//jwOHTqEESNGAADCw8MxYMAASKVSVFRUYOfOnZDJZDW+n4kTJ8LX1xfJyckYNGgQcnJykJ2dXe/dpv9Kk+M1LCwMSUlJiIyMRGhoKAoKCpQ34yBqKMyrOuaVxOr4d8dRea0SLwe/DHMrc5V1XQZ1wf70/bhefh2Ono6w72yPB3cfoPi7YthJ7QAAO7/cCSt7K7TzaAeJgQRH/3cUVnZWMLc2V9tWtxHdsHXOVqyNWIu+H/ZFxfkK5HyRAwBa5e31yNexNHApbNrZQD5YDomBBL/99BvKT5Rj4McDIfWTok3HNvj6X19jcMxg3Ll5B1mxWU+xl4gaFvtVdexXSR8xq+qYVdJHzKo6ZlV/6PyyMNViYmKUpypUk8lkWLhwIb788kvI5XIcPHhQefH+urRo0QIbN27Ea6+9BplMhkWLFiEjIwPu7u4AgNmzZ2PmzJmIi4uDTCZD//79sXXrVnTo0KHG+gwNDXHs2DEMHjwYUqkU//jHP9CtWzfs3bsXpqamT//mSamm48DLywvr1q3DmjVr8Le//Q2zZs1CTEwMQkJCVF535swZdOzYEba26r9iu3fvHtLT05UfYo8bMWIEVq5cCQMDA/zxxx94++23IZVKMWrUKAwYMACffPIJAKCqqgoTJkxQHjdSqVTlQ/ivfHx8sGjRIiQnJ0Mul2Pbtm2IiIiAmZmZVvukvuO1ffv22LBhAzZv3gy5XI5FixZh7ty5Wm2D6Ekwr+qYVxKjA+kH4NrbVW1iHQDkg+T49civMDAyQGZMJhJ7JWLBmwsgMZRgXOrDHySYNTdDzvwcJPVNQnLfZFz99SreW/seDAzUh41mVmYY//V4XCi6gHm95yErNgv9pj38oUL1L9k1Iesrw/iM8SjdWYpk/2SkvJ6CXV/tQst2D385ZGBggHdXvYv7d+4j2T8Zaz5cgzc+fuNJdg/RM8N+VR37VdJHzKo6ZpX0EbOqjlnVDxLh8Yug1+Dw4cPo1q0bCgoK4OXl9SzapXdWr16NoKCg53ofkLrx48fjxIkT2Lt3b2M3hf4fs0q1YV71S3VWp+ycAke5Y2M3h3Qo/5t8ZHyQgbgzcTAxN6n/BaTX8r/JR/r76exXSQ37Vf3CMTDVhlnVP8wr1YRZ1T+azofzDlFEWvj0008REBAACwsLZGdnY8WKFbV+E0lEjYt5JXo2Dq45iNbOrWHtYI0LP13At9HfwnOoJyfWiZoY9qtE4sCsEokDs9p0cHKdSAsHDx5EYmIibt68CRcXF8yfPx+hoaGN3SwiqgHzSvRs3Lx8E9lx2bh5+Sas7KzgOcQTA/8zsLGbRUQ6xn6VSByYVSJxYFabDk6uE2lh3bp1jd0EItIQ80r0bPSd1Bd9J/Vt7GYQUQNjv0okDswqkTgwq01Hg93QlIiIiIiIiIiIiIioqeLkOhERERERERERERGRlji5TkRERERERERERESkJU6uExERERERERERERFpSasbmmZlZaGkpKSh2qLXcnNzATzf+4BIDJhVInGozmrxD8W49POlRm4NEdXm9IHTANivEuk7joGJxIN5JRKHsrIyjcpJBEEQ6iuUl5eHXr16oaqq6qkbJmYGBgZQKBSN3QwiqgezSiQOEgMJBEW9wxAiamTsV4nEgVklEg/mlUgcDA0NsXfvXvTs2bPWMhr9ct3U1BRVVVVIT0+HTCbTWQPFJCsrCzNnznyu9wGRGDCrROJQndWgxUGwk9o1dnOIqBbFPxQjOzab/SqRnuMYmEg8mFcicSgpKUFQUBBMTU3rLKfVZWFkMhm8vLyeqmFiVX2qzvO8D4jEgFklEofqrNpJ7eAod2zk1hBRbaov28R+lUi/cQxMJB7MK1HTwhuaEhERERERERERERFpiZPrRERERERERERERERa4uQ6US127doFiUSCa9euNXZT9KotRPpInzKiT20hagjhLcNxbOuxxm4GAP1qC1FTok99mT61hUjf6FM+9KktRPpGn/KhT21pKnQyuR4SEgKJRIL4+HiV5Zs3b4ZEItHFJhpESUkJBg8eDGtra1hYWKBHjx44d+5cYzdLtHR5HDg7OyMlJUXj8nFxcTA0NMS8efO02k5dXnnlFZSXl8Pa2lpndRLpC+aV6PlQdrAMEa0jsGT0Ep3VGVMSAzd/N53VR9QUsF8lEgdmlUgcmFUSE539ct3MzAwJCQmoqKjQVZUAgHv37um0vmqnTp3Cq6++is6dO2PXrl04duwYZs6cCTMzswbZ3vOioY6D+qSlpWHatGlIS0vTWZ0mJiawt7fX6y+IiJ4G80rU9B1IP4Be43vhVN4pXC+/rpM6reysYGRqpJO6iJoS9qtE4sCsEokDs0piobPJdX9/f9jb2yMuLq7WMtHR0fD09FRZlpKSAmdnZ+XzkJAQDB06FLGxsWjbti1cXV0BAAsXLkSnTp1gZmYGOzs7jBw5UvkahUKBuLg4dOjQAebm5pDL5Vi/fn2d7f3444/xxhtvIDExEV27dkXHjh0xePBgtGnTRvs3T0qaHAcAsGHDBri7u8PU1BTOzs5ISkpSrvPz88PZs2cREREBiURS74fP7t27cfv2bcTExODGjRvYt2+fyvqjR4+iT58+sLS0hJWVFbp164b8/HwAwNmzZzFo0CDY2NjAwsIC7u7uyMrKAlDzqTJLly6Fo6MjmjVrhmHDhiE5ORktWrRQrq8+xletWgVnZ2dYW1tjzJgxuHnzprKMJsdrVlYWpFIpzM3N0adPH5w5c6bOfUD0JJhX5pWatru37uLI5iPwedcHbgFuOJhxULmu8lolVr23Ch93+hiRbSMxp/scHFh9AADw4N4DrJ+2HrNkszDVYSo+6fIJtn+2Xfnaxy/FUnagDIm+iZjqMBVJryXh2NZjCG8ZjvNF5wEAJ388ifCW4fh5989Iei0JkS9EIqVfCi6dvKTS3qKsInzq9ymmOkzF7K6zsS1hG6oeVCnXXzl1BfMHzsdUh6mIezkOpTtLG2S/ET0p9qvsV0kcmFVmlcSBWWVWxUJnk+uGhoaYO3cuFixYgPPnzz9VXTt27EBpaSm2b9+OzMxM5OfnY9KkSYiJiUFpaSm2bdsGX19fZfm4uDisXLkSixYtwvHjxxEREYGgoCDs3r27xvoVCgW2bt0KqVSKfv36oU2bNnjppZewefPmp2o3aXYcFBQUYNSoURgzZgyKiooQHR2NmTNnYvny5QCAjRs3ol27doiJiUF5eTnKy8vr3GZqaioCAwNhbGyMwMBApKamqqwfO3Ys2rVrh0OHDqGgoADTp0+HsbExAGDChAm4e/cu9uzZg6KiIiQkJKB58+Y1bic3NxdhYWH48MMPUVhYiICAAMTGxqqVO3XqFDZv3ozMzExkZmZi9+7dKqcy1Xe8/vrrrxg+fDgGDRqEwsJChIaGYvr06XXuA6Inwbwyr9S0Hdl8BG06tYFdJzt0H9UdB1YfgCAIAICsuVm4WHoR7697H9P3T8ffP/07LFpZAAD2LN6Dn7J/wri0cfj3wX8jeEkwWrZvWeM27ty4g6VvLUVbt7aYunMqBswYgG8/+bbGslvnbMWQ2UMwZccUGBgZYM3ENcp1p/JOYfU/V8P3fV9Mz5uOUcmjcDDjILYnPZzUVygUSHs7DUYmRojYHoFRyaNq3Q5RY2G/yn6VxIFZZVZJHJhVZlUsdHpO77Bhw+Dp6YmoqCi1A1AbFhYW+O9//wsTExMAD8NgYWGBN998E5aWlnByckLXrl0BAHfv3sXcuXPxww8/oGfPngAAFxcX/Pjjj1i8eDF69+6tVv/ly5dx69YtxMfHY86cOUhISMC2bdswfPhw7Ny5s8bXkObqOw6Sk5PRt29fzJw5EwAglUpRXFyMefPmISQkBC1btoShoSEsLS1hb29f57Zu3LiB9evXIy8vDwAQFBSEXr164fPPP1d+iJ07dw6RkZHo3LkzAKBTp07K1587dw4jRoyAh4cHgIfHTm0WLFiAAQMGYOrUqcp279u3D5mZmSrlFAoFli9fDktLSwBAcHAwduzYgdjYWI2O16+++godO3ZUftvq6uqq/GAm0jXmlXmlputA+gF0/3t3AEDnvp1x+8Zt/JL7Czq92gkV5yvwgscLaN+1PQCgVftWytdVXKiAbUdbuLzsAolEgpaONU+sA0DBhgJIJBKMThkNYzNj2He2x/Xy61gbvlat7MD/DMSLPi8CAPzD/bFk9BLcv3MfxmbG+C7xO/QN7wvvQG8AQGvn1njj329gS/QW9P+oP37e9TMunbyEsPVhsHawVta3eNRi3ewsIh1hv8p+lcSBWWVWSRyYVWZVDHT2y/VqCQkJWLFiBUpKSp64Dg8PD+XEOgAEBATAyckJLi4uCA4OxurVq1FZWQkA+OWXX1BZWYmAgAA0b95c+Vi5ciVOnTpVY/0KhQIAMGTIEERERMDT0xPTp0/Hm2++iUWLFj1xu+mRuo6DkpIS+Pj4qCzz8fHByZMnUVVVpVa+LhkZGejYsSPkcjkAwNPTE05OTli79tEf9ZMnT0ZoaCj8/f0RHx+vclxMmjQJc+bMgY+PD6KionDs2DG1bVQrLS2Ft7e3yrLHnwMPb5ZR/cEHAA4ODrh8+TIAzY7XkpISvPTSSyp1Vn9QEjUE5pV5pabn0slLOHv4LLxGeAEADI0M0XVYVxxIf3jpF593fHBk0xEk+iZiS9QWlB0oU77WO9AbF4ouYK73XGyYvgEnck7Uup3LJy+jrXtbGJsZK5c5dXOqsWxb97bKf1vZWQEAbv1+CwBw4acL+H7e95jmOE35WBu+Fjcu3sC9ynu49PMl2Lxgo5xYBwBnb2ct9wrRs8F+lf0qiQOzyqySODCrzKq+0/nkuq+vL/r164cZM2aob8zAQHk6crX79++rlbOwsFB5bmlpicOHDyMjIwMODg6YNWsW5HI5rl27hlu3Hv5RtnXrVhQWFiofxcXFtV53vXXr1jAyMoKbm5vKcplMhnPnzmn1fqlmdR0HupSamorjx4/DyMhI+SguLla58UR0dDSOHz+OgQMHIicnB25ubti0aRMAIDQ0FKdPn0ZwcDCKiorQvXt3LFiw4KnaVH1KUDWJRKL8QudJjleihsa8PsK8UlNxIP0AFA8UiHKLwmTbyZhsOxm5abk4+u1R3L5xG24Bbog6GgW/f/rh+sXrWDhsIf43838AAEe5I2YdmYUBMwbg/u37WP7uciwbt+yp22Rg/Jdh5/9f7rI6b/f+vIf+0/sjcnek8jHtx2n4OP9jGJnx5qkkLuxXH2G/SvqMWX2EWSV9xqw+wqzqpwb5ayU+Ph6enp7Km5FWs7W1xcWLFyEIgvImAoWFhRrVaWRkBH9/f/j7+yMqKgotWrRATk4OAgICYGpqinPnzml8ORcTExP06NEDpaWqN8L6+eef4eRU86+tSHu1HQcymQy5ubkqy3JzcyGVSmFoaAjg4f9Rfd8yFhUVIT8/H7t27ULLlo9OWb969Sr8/Pxw4sQJ5ak6UqkUUqkUERERCAwMxLJlyzBs2DAAgKOjI8LCwhAWFoYZM2Zg6dKlmDhxotr2XF1dcejQIZVljz+vj5ubW73Hq0wmw5YtW1SW7d+/X6vtEGmLeVXHvJJYVT2owqG1hzBk9hB07tNZZV1qcCoObzgMn3d80Lx1c3gHesM70Bu5PXOxZdYWDJk9BABgZmUGr+Fe8BruBflgORb/fTH+rPgTFjaqP4Bo06kN8r/Jx4O7D2Bk+nBYee6w9j9UaNelHS6fvAxbF9sa19tJ7VBxoQLXL16Htf3DX6+fOXRG6+0QPSvsV9WxXyV9xKyqY1ZJHzGr6phV/dEgk+seHh4YO3Ys5s+fr7Lcz88PV65cQWJiIkaOHIlt27YhOzsbVlZWddaXmZmJ06dPw9fXFzY2NsjKyoJCoYCrqyssLS0xdepUREREQKFQ4NVXX8X169eRm5sLKysrjBs3rsY6IyMjMXr0aPj6+qJPnz7Ytm0bvv32W+zatUtXu+G5V9txMGXKFPTo0QOzZ8/G6NGjkZeXhy+++AILFy5UlnF2dsaePXswZswYmJqaonXr1mr1p6amwtvbW+XmttV69OiB1NRUxMTEIDIyEiNHjkSHDh1w/vx5HDp0CCNGjAAAhIeHY8CAAZBKpaioqMDOnTshk8lqfD8TJ06Er68vkpOTMWjQIOTk5CA7O7veu03/lSbHa1hYGJKSkhAZGYnQ0FAUFBQob8ZB1FCYV3XMK4nV8e+Oo/JaJV4OfhnmVuYq67oM6oL96ftxvfw6HD0dYd/ZHg/uPkDxd8Wwk9oBAHZ+uRNW9lZo59EOEgMJjv7vKKzsrGBuba62rW4jumHrnK1YG7EWfT/si4rzFcj5IgcAtMrb65GvY2ngUti0s4F8sBwSAwl+++k3lJ8ox8CPB0LqJ0Wbjm3w9b++xuCYwbhz8w6yYrOeYi8RNSz2q+rYr5I+YlbVMaukj5hVdcyq/tD5ZWGqxcTEKE9VqCaTybBw4UJ8+eWXkMvlOHjwoPLi/XVp0aIFNm7ciNdeew0ymQyLFi1CRkYG3N3dAQCzZ8/GzJkzERcXB5lMhv79+2Pr1q3o0KFDrXUOGzYMixYtQmJiIjw8PPDf//4XGzZswKuvvvp0b5xU1HQceHl5Yd26dVizZg3+9re/YdasWYiJiUFISIjK686cOYOOHTvC1lb9V2z37t1Denq68kPscSNGjMDKlSthYGCAP/74A2+//TakUilGjRqFAQMG4JNPPgEAVFVVYcKECcrjRiqVqnwI/5WPjw8WLVqE5ORkyOVybNu2DRERETAzM9Nqn9R3vLZv3x4bNmzA5s2bIZfLsWjRIsydO1erbRA9CeZVHfNKYnQg/QBce7uqTawDgHyQHL8e+RUGRgbIjMlEYq9ELHhzASSGEoxLffiDBLPmZsiZn4OkvklI7puMq79exXtr34OBgfqw0czKDOO/Ho8LRRcwr/c8ZMVmod+0fgCg/CW7JmR9ZRifMR6lO0uR7J+MlNdTsOurXWjZ7uEvhwwMDPDuqndx/859JPsnY82Ha/DGx288ye4hembYr6pjv0r6iFlVx6ySPmJW1TGr+kEiPH4R9BocPnwY3bp1Q0FBAby8vJ5Fu/TO6tWrERQU9FzvA1I3fvx4nDhxAnv37m3sptD/Y1apNsyrfqnO6pSdU+Aod2zs5pAO5X+Tj4wPMhB3Jg4m5ib1v4D0Wv43+Uh/P539Kqlhv6pfOAam2jCr+od5pZowq/pH0/lw3iGKSAuffvopAgICYGFhgezsbKxYsaLWbyKJqHExr0TPxsE1B9HauTWsHaxx4acL+Db6W3gO9eTEOlETw36VSByYVSJxYFabDk6uE2nh4MGDSExMxM2bN+Hi4oL58+cjNDS0sZtFRDVgXomejZuXbyI7Lhs3L9+ElZ0VPId4YuB/BjZ2s4hIx9ivEokDs0okDsxq08HJdSItrFu3rrGbQEQaYl6Jno2+k/qi76S+jd0MImpg7FeJxIFZJRIHZrXpaLAbmhIRERERERERERERNVWcXCciIiIiIiIiIiIi0hIn14mIiIiIiIiIiIiItMTJdSIiIiIiIiIiIiIiLWl1Q9OsrCyUlJQ0VFv0Wm5uLoDnex8QiQGzSiQO1Vkt/qEYl36+1MitIaLanD5wGgD7VSJ9xzEwkXgwr0TiUFZWplE5iSAIQn2F8vLy0KtXL1RVVT11w8TMwMAACoWisZtBRPWQGEggKOr9aCOiRsZ+lUgcmFUicWBWicSDeSUSB0NDQ+zduxc9e/astYxGv1w3NTVFVVUV0tPTIZPJdNZAMcnKysLMmTOf631AJAbVWQ1aHAQ7qV1jN4eIalH8QzGyY7PZrxLpOY6BicSBWSUSD+aVSBxKSkoQFBQEU1PTOstpdVkYmUwGLy+vp2qYWFWfqvM87wMiMajOqp3UDo5yx0ZuDRHVpvpSMOxXifQbx8BE4sCsEokH80rUtPCGpkREREREREREREREWuLkOhERERERERERERGRlji5TkRERERERERERESkJU6uE9Vi165dkEgkuHbtWmM3Ra/aQtRQwluG49jWY43dDAD61RaipkSf+jN9aguRvtGnfOhTW4j0jT7lQ5/aQqRv9Ckf+tSWpkInk+shISGQSCSIj49XWb5582ZIJBJdbELnJBJJjY958+Y1dtNES5fHgbOzM1JSUjQuHxcXB0NDQ53+/73yyisoLy+HtbW1zuokairKDpYhonUEloxeorM6Y0pi4ObvprP6iJoC9q1E4sCsEokDs0okDswqiYnOfrluZmaGhIQEVFRU6KpKAMC9e/d0Wl+18vJylUdaWhokEglGjBjRINt7XjTUcVCftLQ0TJs2DWlpaTqr08TEBPb29nr7BRFRYzqQfgC9xvfCqbxTuF5+XSd1WtlZwcjUSCd1ETUl7FuJxIFZJRIHZpVIHJhVEgudTa77+/vD3t4ecXFxtZaJjo6Gp6enyrKUlBQ4Ozsrn4eEhGDo0KGIjY1F27Zt4erqCgBYuHAhOnXqBDMzM9jZ2WHkyJHK1ygUCsTFxaFDhw4wNzeHXC7H+vXr62yvvb29yuN///sf+vTpAxcXF+3fPClpchwAwIYNG+Du7g5TU1M4OzsjKSlJuc7Pzw9nz55FRESE8oyCuuzevRu3b99GTEwMbty4gX379qmsP3r0KPr06QNLS0tYWVmhW7duyM/PBwCcPXsWgwYNgo2NDSwsLODu7o6srCwANZ8qs3TpUjg6OqJZs2YYNmwYkpOT0aJFC+X66mN81apVcHZ2hrW1NcaMGYObN28qy2hyvGZlZUEqlcLc3Bx9+vTBmTNn6twHRM/S3Vt3cWTzEfi86wO3ADcczDioXFd5rRKr3luFjzt9jMi2kZjTfQ4OrD4AAHhw7wHWT1uPWbJZmOowFZ90+QTbP9uufO3jl2IpO1CGRN9ETHWYiqTXknBs6zGEtwzH+aLzAICTP55EeMtw/Lz7ZyS9loTIFyKR0i8Fl05eUmlvUVYRPvX7FFMdpmJ219nYlrANVQ+qlOuvnLqC+QPnY6rDVMS9HIfSnaUNst+InhT7VvatJA7MKrNK4sCsMqskDswqsyoWOptcNzQ0xNy5c7FgwQKcP3/+qerasWMHSktLsX37dmRmZiI/Px+TJk1CTEwMSktLsW3bNvj6+irLx8XFYeXKlVi0aBGOHz+OiIgIBAUFYffu3Rpt79KlS9i6dSv+8Y9/PFW7SbPjoKCgAKNGjcKYMWNQVFSE6OhozJw5E8uXLwcAbNy4Ee3atUNMTIzyzIK6pKamIjAwEMbGxggMDERqaqrK+rFjx6Jdu3Y4dOgQCgoKMH36dBgbGwMAJkyYgLt372LPnj0oKipCQkICmjdvXuN2cnNzERYWhg8//BCFhYUICAhAbGysWrlTp05h8+bNyMzMRGZmJnbv3q1yKlN9x+uvv/6K4cOHY9CgQSgsLERoaCimT59e5z4gepaObD6CNp3awK6THbqP6o4Dqw9AEAQAQNbcLFwsvYj3172P6fun4++f/h0WrSwAAHsW78FP2T9hXNo4/PvgvxG8JBgt27escRt3btzB0reWoq1bW0zdORUDZgzAt598W2PZrXO2YsjsIZiyYwoMjAywZuIa5bpTeaew+p+r4fu+L6bnTceo5FE4mHEQ25MeTuorFAqkvZ0GIxMjRGyPwKjkUbVuh6ixsG9l30riwKwyqyQOzCqzSuLArDKrYqHT8++HDRsGT09PREVFqR2A2rCwsMB///tfmJiYAHgYBgsLC7z55puwtLSEk5MTunbtCgC4e/cu5s6dix9++AE9e/YEALi4uODHH3/E4sWL0bt373q3t2LFClhaWmL48OFP3GZ6pL7jIDk5GX379sXMmTMBAFKpFMXFxZg3bx5CQkLQsmVLGBoawtLSEvb29nVu68aNG1i/fj3y8vIAAEFBQejVqxc+//xz5YfYuXPnEBkZic6dOwMAOnXqpHz9uXPnMGLECHh4eABAnWcuLFiwAAMGDMDUqVOV7d63bx8yMzNVyikUCixfvhyWlpYAgODgYOzYsQOxsbEaHa9fffUVOnbsqPy21dXVVfnBTKQPDqQfQPe/dwcAdO7bGbdv3MYvub+g06udUHG+Ai94vID2XdsDAFq1b6V8XcWFCth2tIXLyy6QSCRo6VjzxDoAFGwogEQiweiU0TA2M4Z9Z3tcL7+OteFr1coO/M9AvOjzIgDAP9wfS0Yvwf0792FsZozvEr9D3/C+8A70BgC0dm6NN/79BrZEb0H/j/rj510/49LJSwhbHwZrB2tlfYtHLdbNziLSEfat7FtJHJhVZpXEgVllVkkcmFVmVQx09sv1agkJCVixYgVKSkqeuA4PDw/lxDoABAQEwMnJCS4uLggODsbq1atRWVkJAPjll19QWVmJgIAANG/eXPlYuXIlTp06pdH20tLSMHbsWJiZmT1xm0lVXcdBSUkJfHx8VJb5+Pjg5MmTqKqqUitfl4yMDHTs2BFyuRwA4OnpCScnJ6xd+2gCbvLkyQgNDYW/vz/i4+NVjotJkyZhzpw58PHxQVRUFI4dO6a2jWqlpaXw9vZWWfb4c+DhzTKqP/gAwMHBAZcvXwag2fFaUlKCl156SaXO6g9KosZ26eQlnD18Fl4jvAAAhkaG6DqsKw6kP7z0i887Pjiy6QgSfROxJWoLyg6UKV/rHeiNC0UXMNd7LjZM34ATOSdq3c7lk5fR1r0tjM2MlcucujnVWLate1vlv63srAAAt36/BQC48NMFfD/ve0xznKZ8rA1fixsXb+Be5T1c+vkSbF6wUU6sA4Czt7OWe4Xo2WDfyr6VxIFZZVZJHJhVZpXEgVllVvWdzifXfX190a9fP8yYMUN9YwYGyksHVLt//75aOQsLC5XnlpaWOHz4MDIyMuDg4IBZs2ZBLpfj2rVruHXr4QTK1q1bUVhYqHwUFxfXe911ANi7dy9KS0sRGhqqzduketR1HOhSamoqjh8/DiMjI+WjuLhY5cYT0dHROH78OAYOHIicnBy4ublh06ZNAIDQ0FCcPn0awcHBKCoqQvfu3bFgwYKnalP1KUHVJBIJFAoFADz18UrU2A6kH4DigQJRblGYbDsZk20nIzctF0e/PYrbN27DLcANUUej4PdPP1y/eB0Lhy3E/2b+DwDgKHfErCOzMGDGANy/fR/L312OZeOWPXWbDIz/0pX9/yX0qjN378976D+9PyJ3Ryof036cho/zP4aRGW+eSuLCvvUR9q2kz5jVR5hV0mfM6iPMKukzZvURZlU/NcjMQnx8PDw9PZU3I61ma2uLixcvQhAE5U0ECgsLNarTyMgI/v7+8Pf3R1RUFFq0aIGcnBwEBATA1NQU586d0+gSMI9LTU1Ft27dlN9Mke7UdhzIZDLk5uaqLMvNzYVUKoWhoSGAh3dSru9bxqKiIuTn52PXrl1o2fLR5SWuXr0KPz8/nDhxQnmqjlQqhVQqRUREBAIDA7Fs2TIMGzYMAODo6IiwsDCEhYVhxowZWLp0KSZOnKi2PVdXVxw6dEhl2ePP6+Pm5lbv8SqTybBlyxaVZfv379dqO0QNoepBFQ6tPYQhs4egc5/OKutSg1NxeMNh+Lzjg+atm8M70Bvegd7I7ZmLLbO2YMjsIQAAMyszeA33gtdwL8gHy7H474vxZ8WfsLBR/VK1Tac2yP8mHw/uPoCR6cOu6tzhc1q3uV2Xdrh88jJsXWxrXG8ntUPFhQpcv3gd1vYPf71+5tAZrbdD9Kywb1XHvpX0EbOqjlklfcSsqmNWSR8xq+qYVf3RIJPrHh4eGDt2LObPn6+y3M/PD1euXEFiYiJGjhyJbdu2ITs7G1ZWVnXWl5mZidOnT8PX1xc2NjbIysqCQqGAq6srLC0tMXXqVEREREChUODVV1/F9evXkZubCysrK4wbN67Wem/cuIFvvvlG5U7CpDu1HQdTpkxBjx49MHv2bIwePRp5eXn44osvsHDhQmUZZ2dn7NmzB2PGjIGpqSlat26tVn9qaiq8vb1Vbm5brUePHkhNTUVMTAwiIyMxcuRIdOjQAefPn8ehQ4cwYsQIAEB4eDgGDBgAqVSKiooK7Ny5EzKZrMb3M3HiRPj6+iI5ORmDBg1CTk4OsrOz673b9F9pcryGhYUhKSkJkZGRCA0NRUFBgfJmHESN6fh3x1F5rRIvB78McytzlXVdBnXB/vT9uF5+HY6ejrDvbI8Hdx+g+Lti2EntAAA7v9wJK3srtPNoB4mBBEf/dxRWdlYwtzZX21a3Ed2wdc5WrI1Yi74f9kXF+QrkfJEDAFpl7vXI17E0cCls2tlAPlgOiYEEv/30G8pPlGPgxwMh9ZOiTcc2+PpfX2NwzGDcuXkHWbFZT7GXiBoW+1Z17FtJHzGr6phV0kfMqjpmlfQRs6qOWdUfOr8sTLWYmBjlqQrVZDIZFi5ciC+//BJyuRwHDx5UXry/Li1atMDGjRvx2muvQSaTYdGiRcjIyIC7uzsAYPbs2Zg5cybi4uIgk8nQv39/bN26FR06dKiz3jVr1kAQBAQGBj75G6U61XQceHl5Yd26dVizZg3+9re/YdasWYiJiUFISIjK686cOYOOHTvC1lb9F6f37t1Denq68kPscSNGjMDKlSthYGCAP/74A2+//TakUilGjRqFAQMG4JNPPgEAVFVVYcKECcrjRiqVqnwI/5WPjw8WLVqE5ORkyOVybNu2DREREVpfq7++47V9+/bYsGEDNm/eDLlcjkWLFmHu3LlabYOoIRxIPwDX3q5qE+sAIB8kx69HfoWBkQEyYzKR2CsRC95cAImhBONSH37JadbcDDnzc5DUNwnJfZNx9dereG/tezAwUO+KzKzMMP7r8bhQdAHzes9DVmwW+k3rBwDKX7JrQtZXhvEZ41G6sxTJ/slIeT0Fu77ahZbtHv4awcDAAO+uehf379xHsn8y1ny4Bm98/MaT7B6iZ4Z9qzr2raSPmFV1zCrpI2ZVHbNK+ohZVces6geJ8PhF0Gtw+PBhdOvWDQUFBfDy8noW7dI7q1evRlBQ0HO9D0jd+PHjceLECezdu7exm0L/rzqrU3ZOgaPcsbGbQzqU/00+Mj7IQNyZOJiYm9T/AtJr+d/kI/39dParpIZ9q37hGJhqw6zqF2aVasOs6h/mlWrCrOofTefDeTc3Ii18+umnCAgIgIWFBbKzs7FixYpav4kkoqdzcM1BtHZuDWsHa1z46QK+jf4WnkM9ObFO1MSwbyUSB2aVSByYVSJxYFabDk6uE2nh4MGDSExMxM2bN+Hi4oL58+cjNDS0sZtF1CTdvHwT2XHZuHn5JqzsrOA5xBMD/zOwsZtFRDrGvpVIHJhVInFgVonEgVltOji5TqSFdevWNXYTiJ4bfSf1Rd9JfRu7GUTUwNi3EokDs0okDswqkTgwq01Hg93QlIiIiIiIiIiIiIioqeLkOhERERERERERERGRlji5TkRERERERERERESkJU6uExERERERERERERFpSasbmmZlZaGkpKSh2qLXcnNzATzf+4BIDKqzWvxDMS79fKmRW0NEtTl94DQA9qtE+o5jYCJxYFaJxIN5JRKHsrIyjcpJBEEQ6iuUl5eHXr16oaqq6qkbJmYGBgZQKBSN3QwiqofEQAJBUe9HGxE1MvarROLArBKJA8fAROLBvpVIHAwNDbF371707Nmz1jIa/XLd1NQUVVVVSE9Ph0wm01kDxSQrKwszZ858rvcBkRhUZzVocRDspHaN3RwiqkXxD8XIjs1mv0qk5zgGJhIHjoGJxIPjYCJxKCkpQVBQEExNTessp9VlYWQyGby8vJ6qYWJVfarO87wPiMSgOqt2Ujs4yh0buTVEVJvqyzaxXyXSbxwDE4kDx8BE4sFxMFHTwhuaEhERERERERERERFpiZPrRERERERERERERERa4uQ6US127doFiUSCa9euNXZT9KotRA0lvGU4jm091tjNAKBfbSFqSvSpP9OnthDpG33Khz61haih6NPYU5/aQtRU6FNfpk9taSp0MrkeEhICiUSC+Ph4leWbN2+GRCLRxSZ07tatW/jggw/Qrl07mJubw83NDYsWLWrsZomaLo8DZ2dnpKSkaFw+Li4OhoaGmDdvnlbbqcsrr7yC8vJyWFtb66xOoqai7GAZIlpHYMnoJTqrM6YkBm7+bjqrj6gpYN9KJA7MKtHzg+NgoobHfpXERGe/XDczM0NCQgIqKip0VSUA4N69ezqtr9rkyZOxbds2pKeno6SkBOHh4fjggw+wZcuWBtne86KhjoP6pKWlYdq0aUhLS9NZnSYmJrC3t9fbL4iIGtOB9APoNb4XTuWdwvXy6zqp08rOCkamWt1nm+i5wL6VSByYVaLnA8fBRM8G+1USC51Nrvv7+8Pe3h5xcXG1lomOjoanp6fKspSUFDg7Oyufh4SEYOjQoYiNjUXbtm3h6uoKAFi4cCE6deoEMzMz2NnZYeTIkcrXKBQKxMXFoUOHDjA3N4dcLsf69evrbO++ffswbtw4+Pn5wdnZGe+99x7kcjkOHjyo/ZsnJU2OAwDYsGED3N3dYWpqCmdnZyQlJSnX+fn54ezZs4iIiIBEIqn3w2f37t24ffs2YmJicOPGDezbt09l/dGjR9GnTx9YWlrCysoK3bp1Q35+PgDg7NmzGDRoEGxsbGBhYQF3d3dkZWUBqPlUmaVLl8LR0RHNmjXDsGHDkJycjBYtWijXVx/jq1atgrOzM6ytrTFmzBjcvHlTWUaT4zUrKwvS/2vv3sOqqtY9jn+5eQnBS95DUdwuhVLwRhcKLUAlM49pKkdJdw8a+5gmCh7UrSjeUTglZZpRahpqakZ4aaugFikKapEimpeNsr10MbWNIgLnD7bLcImIIrDo93me9TysueacYzCf8c53rDHXnMNgoGbNmjz//POcOnXqrsdApDzl/J7DgQ0H8HjdAxcfF/bG3jpvZv+WzScjPmFS60mENA1hRucZJK9MBuDG9RusHb+WKc5TCG4SzLT209j6f1uN295+C+rJ5JNEeEYQ3CSYyBci+X7j94ypN4YzaWcAOPbNMcbUG8PRnUeJfCGSkMdCeLvH25w/dr5IfdM2pTG/23yCmwQzvcN0tszdQt6NPOPnPx3/iQW9FhDcJJjZT80mIzHjoRw3kful3KrcKuZBsapYlapP/WCR8qO8qrxqLspscN3KyopZs2YRHR3NmTNnHmhf27dvJyMjg61btxIfH09KSgqjR48mPDycjIwMtmzZgqenp3H92bNns3z5chYtWsShQ4cICgpiyJAh7Ny5s9gynnnmGeLi4sjKyqKgoIDExESOHj1K9+7dH6juf3b30g5SU1MZMGAAgwYNIi0tjalTpzJ58mSWLl0KwPr163FwcCA8PJyzZ89y9uzZu5YZExODn58fNjY2+Pn5ERMTU+TzwYMH4+DgwL59+0hNTSU0NBQbGxsARo4cSU5ODrt27SItLY25c+dSq1atO5aTlJREYGAgb731FgcPHsTHx4eZM2earHf8+HE2bNhAfHw88fHx7Ny5s8itTCW119OnT/PKK6/Qu3dvDh48SEBAAKGhoXc9BiLl6cCGAzRs3ZBGrRvReUBnklcmU1BQAMCmWZs4l3GON9a8QeieUF6d/yq2j9oCsGvxLn7Y/ANDPxrKxL0T8f/An3rN692xjGuXr7Hkv5fQ1KUpwYnB+E7w5ctpX95x3Y0zNtJneh/GbR+HpbUlq0atMn52fPdxVv5tJZ5veBK6O5QBUQPYG7uXrZGFX2by8/P56LWPsK5mTdDWIAZEDSi2HJGKotyq3CrmQbGqWJWqT/1gkfKjvKq8ai7K9L6jvn374ubmRlhYmEkDLA1bW1s+/PBDqlWrBhQGg62tLS+99BJ2dnY4OjrSoUMHAHJycpg1axbbtm3j6aefBsDJyYlvvvmGxYsX07Vr1zuWER0dzYgRI3BwcMDa2hpLS0uWLFlSZNBe7k9J7SAqKgovLy8mT54MgMFg4PDhw8ybN49hw4ZRr149rKyssLOzo3Hjxnct6/Lly6xdu5bdu3cDMGTIEJ577jneeecd40ksMzOTkJAQ2rZtC0Dr1q2N22dmZtKvXz/atWsHFLad4kRHR+Pr60twcLCx3t9++y3x8fFF1svPz2fp0qXY2dkB4O/vz/bt25k5c+Y9tdf333+fVq1aGa+2tmnTxnhiFqkMklck0/nVzgC09WrL1ctX+THpR1o/25qLZy7yWLvHaN6hOQCPNn/UuN3FrIs0aNUAp6ecsLCwoF6zO3+hAEhdl4qFhQUD3x6ITQ0bGrdtzKWzl1g9ZrXJur3+3ou/ePwFAO8x3nww8ANyr+ViU8OGryK+wmuMF+5+7gDUb1GfFye+SNzUOHr+b0+O7jjK+WPnCVwbSO0mtY37WzxgcdkcLJEyotyq3CrmQbGqWJWqTf1gkfKlvKq8ag7K7JfrN82dO5dly5aRnp5+3/to166dcWAdwMfHB0dHR5ycnPD392flypVkZ2cD8OOPP5KdnY2Pjw+1atUyvpYvX87x48eLLSM6Opo9e/YQFxdHamoqkZGRjBw5km3btt13veWWu7WD9PR0PDw8iizz8PDg2LFj5OXlmax/N7GxsbRq1QpXV1cA3NzccHR0ZPXqWx2PsWPHEhAQgLe3N3PmzCnSLkaPHs2MGTPw8PAgLCyM778vflb0jIwM3N3diyy7/T0UTpZx88QH0KRJEy5cuADcW3tNT0/nySefLLLPmydKkYp2/th5/rn/n3Ts1xEAK2srOvTtQPKKwltePf7qwYHPDxDhGUFcWBwnk08at3X3cycrLYtZ7rNYF7qOIwlHii3nwrELNH28KTY1bIzLHDs53nHdpo83Nf5t38gegN9//h2ArB+y+Me8fzC+2Xjja/WY1Vw+d5nr2dc5f/Q8dR+ra/xCAdDCvUUpj4pI+VBuVW4V86BYVaxK1aR+sEjFUF5VXq3synxw3dPTkx49ejBhwgTTwiwtjbdM3ZSbm2uynq2tbZH3dnZ27N+/n9jYWJo0acKUKVNwdXXlt99+4/ffCxPHxo0bOXjwoPF1+PDhYp+7fvXqVSZOnEhUVBS9e/emffv2vPnmmwwcOJD58+ff778uf3C3dlCWYmJiOHToENbW1sbX4cOHi0w8MXXqVA4dOkSvXr1ISEjAxcWFzz//HICAgABOnDiBv78/aWlpdO7cmejo6Aeq081bgm6ysLAgPz8f4L7aq0hlkrwimfwb+YS5hDG2wVjGNhhL0kdJfPfld1y9fBUXHxfCvguj29+6cencJRb2XcgXk78AoJlrM6YcmILvBF9yr+ay9PWlfDz04weuk6XNH1LZfx6hdzPmrv/7Oj1DexKyM8T4Gv/NeCalTMK6hiaNEvOi3HqLcqtUZorVWxSrUpWoHyxSMZRXb1FerZweyhl1zpw5uLm5GScjvalBgwacO3eOgoIC4yQCBw8evKd9Wltb4+3tjbe3N2FhYdSpU4eEhAR8fHyoXr06mZmZxT4C5na5ubnk5uZiaVn02oKVlZWxkcqDK64dODs7k5SUVGRZUlISBoMBKysroHAm5ZKuMqalpZGSksKOHTuoV+/WbXW//vor3bp148iRI8ZbdQwGAwaDgaCgIPz8/Pj444/p27cvAM2aNSMwMJDAwEAmTJjAkiVLGDVqlEl5bdq0Yd++fUWW3f6+JC4uLiW2V2dnZ+Li4oos27NnT6nKEXkY8m7ksW/1PvpM70Pb59sW+SzGP4b96/bj8VcPatWvhbufO+5+7iQ9nUTclDj6TO8DQA37GnR8pSMdX+mI68uuLH51Mf+++G9s6xa9qNqwdUNSPkvhRs4NrKsXpqrM/ZmlrrNDewcuHLtAA6cGd/y8kaERF7MucuncJWo3LvzVzql9p0pdjkh5UW41pdwqlZFi1ZRiVcyZ+sEiFUt51ZTyauXxUAbX27Vrx+DBg1mwYEGR5d26deOnn34iIiKC/v37s2XLFjZv3oy9vf1d9xcfH8+JEyfw9PSkbt26bNq0ifz8fNq0aYOdnR3BwcEEBQWRn5/Ps88+y6VLl0hKSsLe3p6hQ4ea7M/e3p6uXbsSEhJCzZo1cXR0ZOfOnSxfvpyoqKgyPRZ/ZsW1g3HjxtGlSxemT5/OwIED2b17N++++y4LFy40rtOiRQt27drFoEGDqF69OvXr1zfZf0xMDO7u7nd8Tn6XLl2IiYkhPDyckJAQ+vfvT8uWLTlz5gz79u2jX79+AIwZMwZfX18MBgMXL14kMTERZ2fnO/4/o0aNwtPT03jHQ0JCAps3by5xtuk/upf2GhgYSGRkJCEhIQQEBJCammqcjEOkIh366hDZv2XzlP9T1LSvWeSz9r3bs2fFHi6dvUQzt2Y0btuYGzk3OPzVYRoZGgGQ+F4i9o3tcWjngIWlBd998R32jeypWbumSVmd+nVi44yNrA5ajddbXlw8c5GEdxMAShVz3UO6s8RvCXUd6uL6sisWlhb864d/cfbIWXpN6oWhm4GGrRry6f98ysvhL3PtyjU2zdz0AEdJ5OFSbjWl3CqVkWLVlGJVzJn6wSIVS3nVlPJq5VHmj4W5KTw83ORX4M7OzixcuJD33nsPV1dX9u7da3x4/93UqVOH9evX88ILL+Ds7MyiRYuIjY3l8ccfB2D69OlMnjyZ2bNn4+zsTM+ePdm4cSMtW7Ysdp+rVq2iS5cuDB48GBcXF+bMmcPMmTMJDAx8sH9cirhTO+jYsSNr1qxh1apVPPHEE0yZMoXw8HCGDRtWZLtTp07RqlUrGjQwvdJ+/fp1VqxYYTyJ3a5fv34sX74cS0tLfvnlF1577TUMBgMDBgzA19eXadOmAZCXl8fIkSON7cZgMBQ5Cf+Rh4cHixYtIioqCldXV7Zs2UJQUBA1atQo1TEpqb02b96cdevWsWHDBlxdXVm0aBGzZs0qVRkiD0PyimTadG1j8oUCwLW3K6cPnMbS2pL48Hginosg+qVoLKwsGBpTeJGzRq0aJCxIINIrkiivKH49/SsjVo8wuYsICn/ZM/zT4WSlZTGv6zw2zdxEj/E9AIy/4LkXzl7ODI8dTkZiBlHeUbzd/W12vL+Deg6Fv0awtLTk9U9eJ/daLlHeUax6axUvTnrxfg6PSLlRbjWl3CqVkWLVlGJVzJX6wSIVT3nVlPJq5WBRcPtD0O9g//79dOrUidTUVDp27Fge9ap0Vq5cyZAhQ/7Ux0BMDR8+nCNHjvD1119XdFXkP27G6rjEcTRzbVbR1ZEylPJZCrFvxjL71Gyq1axW8gZSqaV8lsKKN1Yor4oJ5dbKRX1gKY5itXJRH7hqUz+4alE/WO5EebXyudfxcM1iIVIK8+fPx8fHB1tbWzZv3syyZcuKvRIpIg9m76q91G9Rn9pNapP1QxZfTv0St/9y0xcKkSpGuVXEPChWRcqP+sEiVZ/yatWhwXWRUti7dy8RERFcuXIFJycnFixYQEBAQEVXS6RKunLhCptnb+bKhSvYN7LHrY8bvf7eq6KrJSJlTLlVxDwoVkXKj/rBIlWf8mrVocF1kVJYs2ZNRVdB5E/Da7QXXqO9KroaIvKQKbeKmAfFqkj5UT9YpOpTXq06HtqEpiIiIiIiIiIiIiIiVZUG10VERERERERERERESkmD6yIiIiIiIiIiIiIipaTBdRERERERERERERGRUirVhKbp6ekPqx6V3smTJ4E/9zEQMQc3Y/X80fMVXBMRuZtfMn8BlFdFKjv1gUXMg/rAIuZD/WAR83CvMWpRUFBQUNJKmZmZODs7k52d/cAVM2dWVlbk5eVVdDVEpAQWlhYU5Jd4ahORCmZpZUl+Xn5FV0NESqA+sIh5UB9YxHyoHyxiHh555BHS09Np3rx5sevc0+A6FA6w//zzz2VWOXOUk5ND9erVK7oaIlICxaqIeVCsipgHxaqIeVCsipgPxauIeahfv/5dB9ahFIPrIiIiIiIiIiIiIiJSSBOaioiIiIiIiIiIiIiUkgbXRURERERERERERERKSYPrIiIiIiIiIiIiIiKlpMF1EREREREREREREZFS0uC6iIiIiIiIiIiIiEgpaXBdRERERERERERERKSUNLguIiIiIiIiIiIiIlJK/w8RC5ZWiC2LwAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query160: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) != (shifts[1,1,1]), (shifts[0,0,1]) <= (shifts[1,1,1])]\n",
      "Query161: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query162: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,1,1])]\n",
      "Size of CL:  25\n",
      "Size of B:  109\n",
      "Number of Queries:  163\n",
      "Query163: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query164: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) != (shifts[1,1,0])]\n",
      "Query165: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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ms1pY1x9fHTt2LNfnv9spq+WnvO4xz7/ZvDZq1KjEvBauS0qnrJZfZWd106ZNJe7ngwYNKnWZDz/80NS5c2dT3bp1TdWqVTM1bNjQNHjwYNORI0fMZTp27Gh6/fXXiyzXq1evIvUCps8++8z8/n+zXCgiIsJ07733lpm9TZs2mfz8/EzVqlUzNWnS5IbnzHKdslp+yupn5ve3ktWSPkOjRo3K/PyivJaXsvqZ+f3NZrVjx44V/gxyXXnHgg0mk8l0M4Pyd5vdu3fTtm1b0tPT8ff3r+zm3FU++eQTIiMj+e9//0u1atUquzli5RYtWkRYWJiyWgmUVakIZbVyKa9SXspq5VJWpbyU1cqlrEpFKK+VR1mViijvWLBuCyNWKy8vj5ycHCZNmsQrr7yiA5+IlVJWRWyH8ipiG5RVEdugrIrYBmVVbic90FSs1pQpU2jRogWenp6MGjWqspsjIqVQVkVsh/IqYhuUVRHboKyK2AZlVW4nDa6L1Ro7dixXrlxhw4YNetiYiBVTVkVsh/IqYhuUVRHboKyK2AZlVW4nDa6LiIiIiIiIiIiIiFSQBtdFRERERERERERERCpIg+siIiIiIiIiIiIiIhXkUN6Cx44d4+eff76dbbFqWVlZACQnJ5v/LSLWJyUlBVBWRaydsipiG5RVEdugrIrYDuVVxDYcPny4XOUMJpPJVFahY8eO4ePjQ15e3i03zJYZ7AyYCsrcXCJSyezs7CgoKKjsZohIGZRVEdugrIrYBmVVxHYoryK2wd7enm3bttG+fftSy5Trl+s///wzeXl5JCYm4uPjY7EG2pLk5GRGjx5N2JwwPIweld0cESlF5peZrJ2w9q4+XonYgsJ+VVkVsW7KqohtUFZFbIfyKmIbsrKyCAsLw8nJ6Yblyn1bGAAfHx/8/f1vqWG2qvBSHQ+jB16+XpXcGhEpzanvTgF39/FKxBYU9qvKqoh1U1ZFbIOyKmI7lFeRqkUPNBURERERERERERERqSANrouIiIiIiIiIiIiIVJAG10VEREREREREREREKkiD61LlDas9jH1r9lV2MwDraotIVbJ582YMBgNnzpyp7KZYVVtErI015cOa2iJibawpH9bUFhFrY035sKa2iFgba8qHNbWlqrDI4PrgwYMxGAxMmjSpyPRVq1ZhMBgssQqLW7lyJU888QT33nsvBoOBvXv3VnaTBDi88zCRdSL5sP+HFqszNiuWlsEtLVafSFVgyeO2t7c306dPL3f5uLg47O3tmTp1aoXWcyOPPvooOTk5uLu7W6xOEWugrIrYBmVVxDYoqyK2QVkVW2KxX647OzszefJkcnNzLVUlAJcvX7ZofYV+++03HnvsMSZPnnxb6pebk5qYSochHTi04xBnc85apE43DzccnBwsUpdIVXK7jttlmTdvHiNGjGDevHkWq7NatWp4enpa7Re6IrdCWRWxDcqqiG1QVkVsg7IqtsJig+vBwcF4enoSFxdXapmxY8fi5+dXZNr06dPx9vY2vx88eDDPPPMMEyZMoH79+jRv3hyAWbNm0axZM5ydnfHw8KBv377mZQoKCoiLi6Nx48ZUr14dX19fli9ffsP2Dhw4kDFjxhAcHFzxDyu3xaULl9izag+BLwXSMqQlOxfvNM/LO5PHJy9/wlvN3iK6fjTj240ndVEqAFcvX2X5iOWM8RlDVL0o3n7wbdb/c7152T/eiuVw6mGmBE0hql4U0x6fxr41+xhWexjHM44DcPCrgwyrPYzvtnzHtMenEX1/NNO7TufUwVNF2puRnME7nd4hql4U49qMY93kdeRfzTfP/+nQT8zoMYOoelHEPRJH9qbs27LdRG5WeY7bACtWrKBVq1Y4OTnh7e3NtGnTzPM6derE0aNHiYyMxGAwlHmysGXLFi5evEhsbCznzp1j+/btReZ/8803dO7cGVdXV9zc3Gjbti1paWkAHD16lJ49e1KrVi1cXFxo1aoVycnJQMmXts2dOxcvLy/uueceevfuTXx8PDVr1jTPL+yTPvnkE7y9vXF3d2fAgAGcP3/eXKY8/UtycjJGo5Hq1avTuXNnjhw5csNtIFJRyqqyKrZBWVVWxTYoq8qq2AZlVVm1FRYbXLe3t2fixInMnDmT48eP31JdGzZsIDs7m/Xr15OUlERaWhpDhw4lNjaW7Oxs1q1bR1BQkLl8XFwcCxcuZPbs2ezfv5/IyEjCwsLYsmXLrX4suYP2rNrDfc3uw6OZB+36tSN1USomkwmA5InJnMw+ySvLXmHk1yN57p3ncLnXBYCtc7by7dpvGTRvEG/ufJOBHw6kdsPaJa7j93O/M/fPc6nfsj5Rm6LoPqo7n7/9eYll14xfQ69xvRi+YTh2DnYseW2Jed6hHYdY9NdFBL0SxMgdI+kX34+di3eyftq1Qf2CggLmvTAPh2oORK6PpF98v1LXI1JZynPcTk9Pp1+/fgwYMICMjAzGjh3L6NGjmT9/PnDtFlsNGjQgNjaWnJwccnJybrjOhIQEQkNDcXR0JDQ0lISEhCLzn3/+eRo0aMCuXbtIT09n5MiRODo6AvDqq69y6dIltm7dSkZGBpMnT6ZGjRolriclJYWIiAhef/119u7dS0hICBMmTChW7tChQ6xatYqkpCSSkpLYsmVLkUsPy+pffvzxR5599ll69uzJ3r17CQ8PZ+TIkTfcBiIVpawqq2IblFVlVWyDsqqsim1QVpVVW2HRe2X07t0bPz8/YmJiiu2AFeHi4sJHH31EtWrVgGthcHFx4amnnsLV1ZVGjRrRpk0bAC5dusTEiRP58ssvad++PQBNmjThq6++Ys6cOXTs2PHWP5jcEamJqbR7rh0ALbq04OK5i3yf8j3NHmtG7vFc7m99Pw3bNATg3ob3mpfLPZFL3aZ1afJIEwwGA7W9Sh5YB0hfkY7BYKD/9P44Ojvi2cKTszlnWTpsabGyPf7RgwcCHwAgeFgwH/b/kCu/X8HR2ZEvpnxBl2FdCAgNAKCOdx2efPNJVo9dTbe/d+O7zd9x6uApIpZH4F7P3VzfnH5zLLOxRCykrON2fHw8Xbp0YfTo0QAYjUYyMzOZOnUqgwcPpnbt2tjb2+Pq6oqnp+cN13Xu3DmWL1/Ojh07AAgLC6NDhw68++675pOOY8eOER0dTYsWLQBo1qyZefljx47Rp08fWrduDVw71pdm5syZdO/enaioKHO7t2/fTlJSUpFyBQUFzJ8/H1dXV+DaVU0bNmxgwoQJ5epfPvjgA5o2bWr+dUTz5s3NJ1IilqSsKqtiG5RVZVVsg7KqrIptUFaVVVtgsV+uF5o8eTILFiwgKyvrputo3bq1eWAdICQkhEaNGtGkSRMGDhzIokWLyMvLA+D7778nLy+PkJAQatSoYX4tXLiQQ4cO3fLnkTvj1MFTHN19FP8+/gDYO9jTpncbUhOv3fol8MVA9ny2hylBU1gds5rDqYfNywaEBnAi4wQTAyayYuQKDmw8UOp6Th88Tf1W9XF0djRPa9S2UYll67eqb/63m4cbABd+vgDAiW9P8J+p/2GE1wjza+mwpZw7eY7LeZc59d0pat1fyzywDuAd4F3BrSJyZ9zouJ2VlUVgYGCRaYGBgRw8eJD8/Pxi5W9k8eLFNG3aFF9fXwD8/Pxo1KgRS5de/3LrjTfeIDw8nODgYCZNmlTkOD506FDGjx9PYGAgMTEx7Nu3r9g6CmVnZxMQEFBk2h/fw7WH2xSeqADUq1eP06dPA+XrX7Kysnj44YeL1Fl4YiNiacqqsiq2QVlVVsU2KKvKqtgGZVVZtXYWH1wPCgqia9eujBo1qvjK7OzMt/kodOXKlWLlXFxcirx3dXVl9+7dLF68mHr16jFmzBh8fX05c+YMFy5cG+xcs2YNe/fuNb8yMzPLvO+6WI/UxFQKrhYQ0zKGN+q+wRt13yBlXgrffP4NF89dpGVIS2K+iaHTXztx9uRZZvWexb9H/xsAL18vxuwZQ/dR3bly8QrzX5rPx4M+vuU22Tn+Tzz+77ZcBQUFAFz+7TLdRnYjeku0+TXiqxG8lfYWDs56eKrYlhsdty0pISGB/fv34+DgYH5lZmYWeVDM2LFj2b9/Pz169GDjxo20bNmSzz77DIDw8HB++OEHBg4cSEZGBu3atWPmzJm31KbCS/gKGQwGc87Vv4i1UVavU1bFmimr1ymrYs2U1euUVbFmyup1yqp1ui2jgJMmTcLPz8/8MNJCdevW5eTJk5hMJvNDBPbu3VuuOh0cHAgODiY4OJiYmBhq1qzJxo0bCQkJwcnJiWPHjukWMDYq/2o+u5buote4XrTo3KLIvISBCexesZvAFwOpUacGAaEBBIQGkNI+hdVjVtNrXC8AnN2c8X/WH/9n/fF92pc5z83ht9zfcKlV9Iua+5rdR9q/0rh66SoOTtd2/2O7j1W4zQ0ebMDpg6ep26RuifM9jB7knsjl7MmzuHte+/X6kV1HKrwekTultOO2j48PKSkpRaalpKRgNBqxt7cHrj35vKxfBWRkZJCWlsbmzZupXfv6rZt+/fVXOnXqxIEDB8yX1hmNRoxGI5GRkYSGhvLxxx/Tu3dvALy8vIiIiCAiIoJRo0Yxd+5cXnvttWLra968Obt27Soy7Y/vy9KyZcsy+xcfHx9Wr15dZNrXX39dofWIVISyWpyyKtZIWS1OWRVrpKwWp6yKNVJWi1NWrcdtGVxv3bo1zz//PDNmzCgyvVOnTvz0009MmTKFvn37sm7dOtauXYubm9sN60tKSuKHH34gKCiIWrVqkZycTEFBAc2bN8fV1ZWoqCgiIyMpKCjgscce4+zZs6SkpODm5sagQYNKrPPXX3/l2LFj/Pe//wWuXZIB4OnpWeZ9mMSy9n+xn7wzeTwy8BGqu1UvMu/Bng/ydeLXnM05i5efF54tPLl66SqZX2TiYfQAYNP7m3DzdKNB6wYY7Ax88+9vcPNwo7p79WLratunLWvGr2Fp5FK6vN6F3OO5bHxvI0CZT43+X09EP8Hc0LnUalAL36d9MdgZ+O+3/yXnQA493uqBsZOR+5rex6d/+5SnY5/m9/O/kzwh+Ra2ksjtVdpxe/jw4Tz00EOMGzeO/v37s2PHDt577z1mzZplLuPt7c3WrVsZMGAATk5O1KlTp1j9CQkJBAQEFHkYdaGHHnqIhIQEYmNjiY6Opm/fvjRu3Jjjx4+za9cu+vTpA8CwYcPo3r07RqOR3NxcNm3ahI+PT4mf57XXXiMoKIj4+Hh69uzJxo0bWbt2bYVyXp7+JSIigmnTphEdHU14eDjp6enmh+eI3A7KanHKqlgjZbU4ZVWskbJanLIq1khZLU5ZtR4Wvy1ModjYWPOlCoV8fHyYNWsW77//Pr6+vuzcudN88/4bqVmzJitXruTxxx/Hx8eH2bNns3jxYlq1agXAuHHjGD16NHFxcfj4+NCtWzfWrFlD48aNS61z9erVtGnThh49egAwYMAA2rRpw+zZs2/hU8vNSE1MpXnH5sUG1gF8e/ry454fsXOwIyk2iSkdpjDzqZkY7A0MSrj2xYlzDWc2ztjItC7TiO8Sz68//srLS1/Gzq747u3s5syQT4dwIuMEUztOJXlCMl1HdAUw/5K9PHy6+DBk8RCyN2UTHxzP9Cems/mDzdRucO0bTjs7O1765CWu/H6F+OB4lry+hCffevJmNo/IHVPScdvf359ly5axZMkS/vSnPzFmzBhiY2MZPHhwkeWOHDlC06ZNqVu3+NUcly9fJjEx0XzS8Ud9+vRh4cKF2NnZ8csvv/DCCy9gNBrp168f3bt35+233wYgPz+fV1991XycNxqNRU6a/ldgYCCzZ88mPj4eX19f1q1bR2RkJM7OzhXaJmX1Lw0bNmTFihWsWrUKX19fZs+ezcSJEyu0DpGKUlaLU1bFGimrxSmrYo2U1eKUVbFGympxyqp1MJj+eBP0EuzevZu2bduSnp6Ov7//nWiX1Vm0aBFhYWEM3zQcL1+vym6OWFDav9JY/P8WE3ckjmrVq5W9gFi1tH+lkfhK4l19vJKSDRkyhAMHDrBt27bKbopwvV9VVuWPlFXroqxKaZRV66KsSmmUVeujvEpJlFXrU97xcD15Ue46O5fspI53HdzruXPi2xN8PvZz/J7x08C6SBXzzjvvEBISgouLC2vXrmXBggWl/nJARCqPsipiG5RVEdugrIrYBmW16tDgutx1zp8+z9q4tZw/fR43Dzf8evnR4x89KrtZImJhO3fuZMqUKZw/f54mTZowY8YMwsPDK7tZIvIHyqqIbVBWRWyDsipiG5TVqkOD63LX6TK0C12GdqnsZojIbbZs2bLKboKIlIOyKmIblFUR26CsitgGZbXquG0PNBURERERERERERERqao0uC4iIiIiIiIiIiIiUkEaXBcRERERERERERERqaAK3XM9OTmZrKys29UWq5aSkgJA5peZnPruVCW3RkRK80PqD8DdfbwSsQWF/aqyKmLdlFUR26CsitgO5VXENhw+fLhc5Qwmk8lUVqEdO3bQoUMH8vPzb7lhtsxgZ8BUUObmEpFKZmdnR0FBQWU3Q0TKoKyK2AZlVcQ2KKsitkN5FbEN9vb2bNu2jfbt25daply/XHdyciI/P5/ExER8fHws1kBbkpyczOjRowmbE4aH0aOymyMipcj8MpO1E9be1ccrEVtQ2K8qqyLWTVkVsQ3KqojtUF5FbENWVhZhYWE4OTndsFyFbgvj4+ODv7//LTXMVhVequNh9MDL16uSWyMipSm8bdPdfLwSsQWF/aqyKmLdlFUR26CsitgO5VWkatEDTUVEREREREREREREKkiD6yIiIiIiIiIiIiIiFaTBdRERERERERERERGRCtLguoiIiIiIiIiIiIhIBWlwXaq8YbWHsW/NvspuBmBdbRGpSjZv3ozBYODMmTOV3RSraouItbGmfFhTW0SsjTXlw5raImJtrCkf1tQWEWtjTfmwprZUFRYZXB88eDAGg4FJkyYVmb5q1SoMBoMlVmFRV65c4e9//zutW7fGxcWF+vXr88ILL/Df//63spt21zu88zCRdSL5sP+HFqszNiuWlsEtLVafSFVgyeO2t7c306dPL3f5uLg47O3tmTp1aoXWcyOPPvooOTk5uLu7W6xOEWugrIrYBmVVxDYoqyK2QVkVW2KxX647OzszefJkcnNzLVUlAJcvX7ZofQB5eXns3r2b0aNHs3v3blauXEl2djZPP/20xdclFZOamEqHIR04tOMQZ3POWqRONw83HJwcLFKXSFVyu47bZZk3bx4jRoxg3rx5FquzWrVqeHp6WuUXuiK3SlkVsQ3KqohtUFZFbIOyKrbCYoPrwcHBeHp6EhcXV2qZsWPH4ufnV2Ta9OnT8fb2Nr8fPHgwzzzzDBMmTKB+/fo0b94cgFmzZtGsWTOcnZ3x8PCgb9++5mUKCgqIi4ujcePGVK9eHV9fX5YvX15qO9zd3Vm/fj39+vWjefPmPPLII7z33nukp6dz7Nixm9sAcssuXbjEnlV7CHwpkJYhLdm5eKd5Xt6ZPD55+RPeavYW0fWjGd9uPKmLUgG4evkqy0csZ4zPGKLqRfH2g2+z/p/rzcv+8VYsh1MPMyVoClH1opj2+DT2rdnHsNrDOJ5xHICDXx1kWO1hfLflO6Y9Po3o+6OZ3nU6pw6eKtLejOQM3un0DlH1ohjXZhzrJq8j/2q+ef5Ph35iRo8ZRNWLIu6ROLI3Zd+W7SZys8pz3AZYsWIFrVq1wsnJCW9vb6ZNm2ae16lTJ44ePUpkZCQGg6HMk4UtW7Zw8eJFYmNjOXfuHNu3by8y/5tvvqFz5864urri5uZG27ZtSUtLA+Do0aP07NmTWrVq4eLiQqtWrUhOTgZKvrRt7ty5eHl5cc8999C7d2/i4+OpWbOmeX5hn/TJJ5/g7e2Nu7s7AwYM4Pz58+Yy5elfkpOTMRqNVK9enc6dO3PkyJEbbgORilJWlVWxDcqqsiq2QVlVVsU2KKvKqq2w2OC6vb09EydOZObMmRw/fvyW6tqwYQPZ2dmsX7+epKQk0tLSGDp0KLGxsWRnZ7Nu3TqCgoLM5ePi4li4cCGzZ89m//79REZGEhYWxpYtW8q9zrNnz2IwGIrsyHJn7Vm1h/ua3YdHMw/a9WtH6qJUTCYTAMkTkzmZfZJXlr3CyK9H8tw7z+FyrwsAW+ds5du13zJo3iDe3PkmAz8cSO2GtUtcx+/nfmfun+dSv2V9ojZF0X1Udz5/+/MSy64Zv4Ze43oxfMNw7BzsWPLaEvO8QzsOseiviwh6JYiRO0bSL74fOxfvZP20a4P6BQUFzHthHg7VHIhcH0m/+H6lrkekspTnuJ2enk6/fv0YMGAAGRkZjB07ltGjRzN//nwAVq5cSYMGDYiNjSUnJ4ecnJwbrjMhIYHQ0FAcHR0JDQ0lISGhyPznn3+eBg0asGvXLtLT0xk5ciSOjo4AvPrqq1y6dImtW7eSkZHB5MmTqVGjRonrSUlJISIigtdff529e/cSEhLChAkTipU7dOgQq1atIikpiaSkJLZs2VLk0sOy+pcff/yRZ599lp49e7J3717Cw8MZOXLkDbeBSEUpq8qq2AZlVVkV26CsKqtiG5RVZdVWWPReGb1798bPz4+YmJhiO2BFuLi48NFHH1GtWjXgWhhcXFx46qmncHV1pVGjRrRp0waAS5cuMXHiRL788kvat28PQJMmTfjqq6+YM2cOHTt2LHN9v//+O3//+98JDQ3Fzc3tptsttyY1MZV2z7UDoEWXFlw8d5HvU76n2WPNyD2ey/2t76dhm4YA3NvwXvNyuSdyqdu0Lk0eaYLBYKC2V8kD6wDpK9IxGAz0n94fR2dHPFt4cjbnLEuHLS1Wtsc/evBA4AMABA8L5sP+H3Ll9ys4OjvyxZQv6DKsCwGhAQDU8a7Dk28+yeqxq+n29258t/k7Th08RcTyCNzruZvrm9NvjmU2loiFlHXcjo+Pp0uXLowePRoAo9FIZmYmU6dOZfDgwdSuXRt7e3tcXV3x9PS84brOnTvH8uXL2bFjBwBhYWF06NCBd99913zScezYMaKjo2nRogUAzZo1My9/7Ngx+vTpQ+vWrYFrx/rSzJw5k+7duxMVFWVu9/bt20lKSipSrqCggPnz5+Pq6grAwIED2bBhAxMmTChX//LBBx/QtGlT868jmjdvbj6RErEkZVVZFdugrCqrYhuUVWVVbIOyqqzaAov9cr3Q5MmTWbBgAVlZWTddR+vWrc0D6wAhISE0atSIJk2aMHDgQBYtWkReXh4A33//PXl5eYSEhFCjRg3za+HChRw6dKjMdV25coV+/fphMpn44IMPbrrNcmtOHTzF0d1H8e/jD4C9gz1terchNfHarV8CXwxkz2d7mBI0hdUxqzmceti8bEBoACcyTjAxYCIrRq7gwMYDpa7n9MHT1G9VH0dnR/O0Rm0blVi2fqv65n+7eVz70uXCzxcAOPHtCf4z9T+M8Bphfi0dtpRzJ89xOe8yp747Ra37a5kH1gG8A7wruFVE7owbHbezsrIIDAwsMi0wMJCDBw+Sn59frPyNLF68mKZNm+Lr6wuAn58fjRo1YunS619uvfHGG4SHhxMcHMykSZOKHMeHDh3K+PHjCQwMJCYmhn379hVbR6Hs7GwCAgKKTPvje7j2cJvCExWAevXqcfr0aaB8/UtWVhYPP/xwkToLT2xELE1ZVVbFNiiryqrYBmVVWRXboKwqq9bO4oPrQUFBdO3alVGjRhVfmZ2d+TYfha5cuVKsnIuLS5H3rq6u7N69m8WLF1OvXj3GjBmDr68vZ86c4cKFa4Oda9asYe/eveZXZmbmDe+7Xrjufv36cfToUdavX69frVei1MRUCq4WENMyhjfqvsEbdd8gZV4K33z+DRfPXaRlSEtivomh0187cfbkWWb1nsW/R/8bAC9fL8bsGUP3Ud25cvEK81+az8eDPr7lNtk5/k88/u+2XAUFBQBc/u0y3UZ2I3pLtPk14qsRvJX2Fg7Oeniq2JYbHbctKSEhgf379+Pg4GB+ZWZmFnlQzNixY9m/fz89evRg48aNtGzZks8++wyA8PBwfvjhBwYOHEhGRgbt2rVj5syZt9Smwkv4ChkMBnPOb6V/EbkdlNXrlFWxZsrqdcqqWDNl9TplVayZsnqdsmqdbsso4KRJk/Dz8zM/jLRQ3bp1OXnyJCaTyfwQgb1795arTgcHB4KDgwkODiYmJoaaNWuyceNGQkJCcHJy4tixY+W6BUyhwoH1gwcPsmnTJu69996yF5LbIv9qPruW7qLXuF606NyiyLyEgQnsXrGbwBcDqVGnBgGhAQSEBpDSPoXVY1bTa1wvAJzdnPF/1h//Z/3xfdqXOc/N4bfc33CpVfSLmvua3Ufav9K4eukqDk7Xdv9juyv+ENsGDzbg9MHT1G1St8T5HkYPck/kcvbkWdw9r/16/ciuIxVej8idUtpx28fHh5SUlCLTUlJSMBqN2NvbA9eefF7WrwIyMjJIS0tj8+bN1K59/dZNv/76K506deLAgQPmS+uMRiNGo5HIyEhCQ0P5+OOP6d27NwBeXl5EREQQERHBqFGjmDt3Lq+99lqx9TVv3pxdu3YVmfbH92Vp2bJlmf2Lj48Pq1evLjLt66+/rtB6RCpCWS1OWRVrpKwWp6yKNVJWi1NWxRopq8Upq9bjtgyut27dmueff54ZM2YUmd6pUyd++uknpkyZQt++fVm3bh1r164t8xfjSUlJ/PDDDwQFBVGrVi2Sk5MpKCigefPmuLq6EhUVRWRkJAUFBTz22GOcPXuWlJQU3NzcGDRoULH6rly5Qt++fdm9ezdJSUnk5+dz8uRJAGrXrl3kljRy++3/Yj95Z/J4ZOAjVHerXmTegz0f5OvErzmbcxYvPy88W3hy9dJVMr/IxMPoAcCm9zfh5ulGg9YNMNgZ+Obf3+Dm4UZ19+rF1tW2T1vWjF/D0sildHm9C7nHc9n43kaAMp8a/b+eiH6CuaFzqdWgFr5P+2KwM/Dfb/9LzoEcerzVA2MnI/c1vY9P//YpT8c+ze/nfyd5QvItbCWR26u04/bw4cN56KGHGDduHP3792fHjh289957zJo1y1zG29ubrVu3MmDAAJycnKhTp06x+hMSEggICCjyMOpCDz30EAkJCcTGxhIdHU3fvn1p3Lgxx48fZ9euXfTp0weAYcOG0b17d4xGI7m5uWzatAkfH58SP89rr71GUFAQ8fHx9OzZk40bN7J27doK5bw8/UtERATTpk0jOjqa8PBw0tPTzQ/PEbkdlNXilFWxRspqccqqWCNltThlVayRslqcsmo9LH5bmEKxsbHmSxUK+fj4MGvWLN5//318fX3ZuXOn+eb9N1KzZk1WrlzJ448/jo+PD7Nnz2bx4sW0atUKgHHjxjF69Gji4uLw8fGhW7durFmzhsaNG5dY34kTJ1i9ejXHjx/Hz8+PevXqmV/bt2+/9Q8vFZKamErzjs2LDawD+Pb05cc9P2LnYEdSbBJTOkxh5lMzMdgbGJRw7YsT5xrObJyxkWldphHfJZ5ff/yVl5e+jJ1d8d3b2c2ZIZ8O4UTGCaZ2nEryhGS6jugKYP4le3n4dPFhyOIhZG/KJj44nulPTGfzB5up3eDaN5x2dna89MlLXPn9CvHB8Sx5fQlPvvXkzWwekTumpOO2v78/y5YtY8mSJfzpT39izJgxxMbGMnjw4CLLHTlyhKZNm1K3bvGrOS5fvkxiYqL5pOOP+vTpw8KFC7Gzs+OXX37hhRdewGg00q9fP7p3787bb78NQH5+Pq+++qr5OG80GoucNP2vwMBAZs+eTXx8PL6+vqxbt47IyEicnZ0rtE3K6l8aNmzIihUrWLVqFb6+vsyePZuJEydWaB0iFaWsFqesijVSVotTVsUaKavFKatijZTV4pRV62Aw/fEm6CXYvXs3bdu2JT09HX9//zvRLquzaNEiwsLCGL5pOF6+XpXdHLGgtH+lsfj/LSbuSBzVquuqBVuX9q80El9JvKuPV1KyIUOGcODAAbZt21bZTRGu96vKqvyRsmpdlFUpjbJqXZRVKY2yan2UVymJsmp9yjsericvyl1n55Kd1PGug3s9d058e4LPx36O3zN+GlgXqWLeeecdQkJCcHFxYe3atSxYsKDUXw6ISOVRVkVsg7IqYhuUVRHboKxWHRpcl7vO+dPnWRu3lvOnz+Pm4YZfLz96/KNHZTdLRCxs586dTJkyhfPnz9OkSRNmzJhBeHh4ZTdLRP5AWRWxDcqqiG1QVkVsg7JadWhwXe46XYZ2ocvQLpXdDBG5zZYtW1bZTRCRclBWRWyDsipiG5RVEdugrFYdt+2BpiIiIiIiIiIiIiIiVZUG10VEREREREREREREKkiD6yIiIiIiIiIiIiIiFVShe64nJyeTlZV1u9pi1VJSUgDI/DKTU9+dquTWiEhpfkj9Abi7j1citqCwX1VWRaybsipiG5RVEduhvIrYhsOHD5ernMFkMpnKKrRjxw46dOhAfn7+LTfMltnZ2VFQUFDZzRCRMiirIrbBYGfAVFDmaYiIVDL1qyK2QVkVsR3Kq4htsLe3Z9u2bbRv377UMuX65bqTkxP5+fkkJibi4+NjsQbakuTkZEaPHn1XbwMRW6CsitiGwqyGzQnDw+hR2c0RkVJkfpnJ2glr1a+KWDmdA4vYDuVVxDZkZWURFhaGk5PTDctV6LYwPj4++Pv731LDbFXhpTp38zYQsQXKqohtKMyqh9EDL1+vSm6NiJSm8HaI6ldFrJvOgUVsh/IqUrXogaYiIiIiIiIiIiIiIhWkwXURERERERERERERkQrS4LqIiIiIiIiIiIiISAVpcF2kFJs3b8ZgMHDmzJnKbopVtUXEGllTRqypLSK3w7Daw9i3Zl9lNwOwrraIVCXW1JdZU1tErI015cOa2iJibawpH9bUlqrCIoPrgwcPxmAwMGnSpCLTV61ahcFgsMQqLG7s2LG0aNECFxcXatWqRXBwMKmpqZXdLJtmyf3A29ub6dOnl7t8XFwc9vb2TJ06tULruZFHH32UnJwc3N3dLVaniLVQXkXuDod3HiayTiQf9v/QYnXGZsXSMrilxeoTqQrUr4rYBmVVxDYoq2JLLPbLdWdnZyZPnkxubq6lqgTg8uXLFq2vkNFo5L333iMjI4OvvvoKb29vnnjiCX766afbsr67xe3aD8oyb948RowYwbx58yxWZ7Vq1fD09LTaL4hEbpXyKlL1pSam0mFIBw7tOMTZnLMWqdPNww0HJweL1CVSlahfFbENyqqIbVBWxVZYbHA9ODgYT09P4uLiSi0zduxY/Pz8ikybPn063t7e5veDBw/mmWeeYcKECdSvX5/mzZsDMGvWLJo1a4azszMeHh707dvXvExBQQFxcXE0btyY6tWr4+vry/Lly2/Y3j//+c8EBwfTpEkTWrVqRXx8POfOnWPfPl1afCvKsx8ArFixglatWuHk5IS3tzfTpk0zz+vUqRNHjx4lMjISg8FQ5sFny5YtXLx4kdjYWM6dO8f27duLzP/mm2/o3Lkzrq6uuLm50bZtW9LS0gA4evQoPXv2pFatWri4uNCqVSuSk5OBki+VmTt3Ll5eXtxzzz307t2b+Ph4atasaZ5fuI9/8skneHt74+7uzoABAzh//ry5THn21+TkZIxGI9WrV6dz584cOXLkhttA5GYor8qrVG2XLlxiz6o9BL4USMuQluxcvNM8L+9MHp+8/AlvNXuL6PrRjG83ntRF167gu3r5KstHLGeMzxii6kXx9oNvs/6f683L/vFWLIdTDzMlaApR9aKY9vg09q3Zx7DawziecRyAg18dZFjtYXy35TumPT6N6Pujmd51OqcOnirS3ozkDN7p9A5R9aIY12Yc6yavI/9qvnn+T4d+YkaPGUTViyLukTiyN2Xflu0mcrPUr6pfFdugrCqrYhuUVWXVVlhscN3e3p6JEycyc+ZMjh8/fkt1bdiwgezsbNavX09SUhJpaWkMHTqU2NhYsrOzWbduHUFBQebycXFxLFy4kNmzZ7N//34iIyMJCwtjy5Yt5Vrf5cuX+fDDD3F3d8fX1/eW2n63K89+kJ6eTr9+/RgwYAAZGRmMHTuW0aNHM3/+fABWrlxJgwYNiI2NJScnh5ycnBuuMyEhgdDQUBwdHQkNDSUhIaHI/Oeff54GDRqwa9cu0tPTGTlyJI6OjgC8+uqrXLp0ia1bt5KRkcHkyZOpUaNGietJSUkhIiKC119/nb179xISEsKECROKlTt06BCrVq0iKSmJpKQktmzZUuRSprL21x9//JFnn32Wnj17snfvXsLDwxk5cuQNt4HIzVBelVep2vas2sN9ze7Do5kH7fq1I3VRKiaTCYDkicmczD7JK8teYeTXI3nunedwudcFgK1ztvLt2m8ZNG8Qb+58k4EfDqR2w9olruP3c78z989zqd+yPlGboug+qjufv/15iWXXjF9Dr3G9GL5hOHYOdix5bYl53qEdh1j010UEvRLEyB0j6Rffj52Ld7J+2rVB/YKCAua9MA+Hag5Ero+kX3y/UtcjUlnUr6pfFdugrCqrYhuUVWXVVlj0mt7evXvj5+dHTExMsR2wIlxcXPjoo4+oVq0acC0MLi4uPPXUU7i6utKoUSPatGkDwKVLl5g4cSJffvkl7du3B6BJkyZ89dVXzJkzh44dO5a6nqSkJAYMGEBeXh716tVj/fr11KlT56bbLdeUtR/Ex8fTpUsXRo8eDVy7RU9mZiZTp05l8ODB1K5dG3t7e1xdXfH09Lzhus6dO8fy5cvZsWMHAGFhYXTo0IF3333XfBA7duwY0dHRtGjRAoBmzZqZlz927Bh9+vShdevWwLV9pzQzZ86ke/fuREVFmdu9fft2kpKSipQrKChg/vz5uLq6AjBw4EA2bNjAhAkTyrW/fvDBBzRt2tT8bWvz5s3NB2YRS1NelVepulITU2n3XDsAWnRpwcVzF/k+5XuaPdaM3OO53N/6fhq2aQjAvQ3vNS+XeyKXuk3r0uSRJhgMBmp7lTywDpC+Ih2DwUD/6f1xdHbEs4UnZ3POsnTY0mJle/yjBw8EPgBA8LBgPuz/IVd+v4KjsyNfTPmCLsO6EBAaAEAd7zo8+eaTrB67mm5/78Z3m7/j1MFTRCyPwL2eu7m+Of3mWGZjiViI+lX1q2IblFVlVWyDsqqs2gKL/XK90OTJk1mwYAFZWVk3XUfr1q3NA+sAISEhNGrUiCZNmjBw4EAWLVpEXl4eAN9//z15eXmEhIRQo0YN82vhwoUcOnTohuvp3Lkze/fuZfv27XTr1o1+/fpx+vTpm263XHej/SArK4vAwMAi0wIDAzl48CD5+fnFyt/I4sWLadq0qfmKAz8/Pxo1asTSpdf/qH/jjTcIDw8nODiYSZMmFdkvhg4dyvjx4wkMDCQmJuaGtwXKzs4mICCgyLQ/vodrD8soPPAB1KtXz7xflWd/zcrK4uGHHy5SZ+GBUuR2UF6VV6l6Th08xdHdR/Hv4w+AvYM9bXq3ITXx2q1fAl8MZM9ne5gSNIXVMas5nHrYvGxAaAAnMk4wMWAiK0au4MDGA6Wu5/TB09RvVR9HZ0fztEZtG5VYtn6r+uZ/u3m4AXDh5wsAnPj2BP+Z+h9GeI0wv5YOW8q5k+e4nHeZU9+dotb9tcwD6wDeAd4V3Coid4b6VfWrYhuUVWVVbIOyqqxaO4sPrgcFBdG1a1dGjRpVfGV2dubLkQtduXKlWDkXF5ci711dXdm9ezeLFy+mXr16jBkzBl9fX86cOcOFC9f+KFuzZg179+41vzIzM8u877qLiwsPPPAAjzzyCAkJCTg4ONzSL+7luhvtB5aUkJDA/v37cXBwML8yMzOLPHhi7Nix7N+/nx49erBx40ZatmzJZ599BkB4eDg//PADAwcOJCMjg3bt2jFz5sxbalPhJUGFDAYDBQUFALe0v4rcLsrrdcqrVBWpiakUXC0gpmUMb9R9gzfqvkHKvBS++fwbLp67SMuQlsR8E0Onv3bi7MmzzOo9i3+P/jcAXr5ejNkzhu6junPl4hXmvzSfjwd9fMttsnP8n9PO/7vdZWHeLv92mW4juxG9Jdr8GvHVCN5KewsHZz08VWyL+tXr1K+KNVNWr1NWxZopq9cpq9bptvy1MmnSJPz8/MwPIy1Ut25dTp48iclkMj9EYO/eveWq08HBgeDgYIKDg4mJiaFmzZps3LiRkJAQnJycOHbs2A1vAVMeBQUFXLp06ZbqkOtK2w98fHxISUkpMi0lJQWj0Yi9vT1w7UnKZX3LmJGRQVpaGps3b6Z27euXrP/666906tSJAwcOmC/VMRqNGI1GIiMjCQ0N5eOPP6Z3794AeHl5ERERQUREBKNGjWLu3Lm89tprxdbXvHlzdu3aVWTaH9+XpWXLlmXurz4+PqxevbrItK+//rpC6xGpKOW1OOVVbFX+1Xx2Ld1Fr3G9aNG5RZF5CQMT2L1iN4EvBlKjTg0CQgMICA0gpX0Kq8espte4XgA4uznj/6w//s/64/u0L3Oem8Nvub/hUqvoDyDua3Yfaf9K4+qlqzg4XTutPLb7WIXb3ODBBpw+eJq6TeqWON/D6EHuiVzOnjyLu+e1X68f2XWkwusRuVPUrxanflWskbJanLIq1khZLU5ZtR63ZXC9devWPP/888yYMaPI9E6dOvHTTz8xZcoU+vbty7p161i7di1ubm43rC8pKYkffviBoKAgatWqRXJyMgUFBTRv3hxXV1eioqKIjIykoKCAxx57jLNnz5KSkoKbmxuDBg0qVt9vv/3GhAkTePrpp6lXrx4///wz77//PidOnOC5556z6La4m5W2HwwfPpyHHnqIcePG0b9/f3bs2MF7773HrFmzzGW8vb3ZunUrAwYMwMnJqcR74SckJBAQEFDk4baFHnroIRISEoiNjSU6Opq+ffvSuHFjjh8/zq5du+jTpw8Aw4YNo3v37hiNRnJzc9m0aRM+Pj4lfp7XXnuNoKAg4uPj6dmzJxs3bmTt2rVlPm36f5Vnf42IiGDatGlER0cTHh5Oenq6+WEcIreL8lqc8iq2av8X+8k7k8cjAx+hulv1IvMe7PkgXyd+zdmcs3j5eeHZwpOrl66S+UUmHkYPADa9vwk3TzcatG6Awc7AN//+BjcPN6q7Vy+2rrZ92rJm/BqWRi6ly+tdyD2ey8b3NgJUKG9PRD/B3NC51GpQC9+nfTHYGfjvt/8l50AOPd7qgbGTkfua3senf/uUp2Of5vfzv5M8IfkWtpLI7aV+tTj1q2KNlNXilFWxRspqccqq9bD4bWEKxcbGmi9VKOTj48OsWbN4//338fX1ZefOneab999IzZo1WblyJY8//jg+Pj7Mnj2bxYsX06pVKwDGjRvH6NGjiYuLw8fHh27durFmzRoaN25cYn329vYcOHCAPn36YDQa6dmzJ7/88gvbtm0z1ymWUdJ+4O/vz7Jly1iyZAl/+tOfGDNmDLGxsQwePLjIckeOHKFp06bUrVv8V2yXL18mMTHRfBD7oz59+rBw4ULs7Oz45ZdfeOGFFzAajfTr14/u3bvz9ttvA5Cfn8+rr75q3m+MRmORg/D/CgwMZPbs2cTHx+Pr68u6deuIjIzE2dm5QtukrP21YcOGrFixglWrVuHr68vs2bOZOHFihdYhcjOU1+KUV7FFqYmpNO/YvNjAOoBvT19+3PMjdg52JMUmMaXDFGY+NRODvYFBCdd+kOBcw5mNMzYyrcs04rvE8+uPv/Ly0pexsyt+2ujs5syQT4dwIuMEUztOJXlCMl1HdAUw/5K9PHy6+DBk8RCyN2UTHxzP9Cems/mDzdRucO2XQ3Z2drz0yUtc+f0K8cHxLHl9CU++9eTNbB6RO0b9anHqV8UaKavFKatijZTV4pRV62Aw/fEm6CXYvXs3bdu2JT09HX9//zvRLquzaNEiwsLC7uptIMUNGTKEAwcOsG3btspuivwfZVVKo7xal8KsDt80HC9fr8pujlhQ2r/SWPz/FhN3JI5q1auVvYBYtbR/pZH4SqL6VSlG/ap10TmwlEZZtT7Kq5REWbU+5R0P1xOiRCrgnXfeISQkBBcXF9auXcuCBQtK/SZSRCqX8ipyZ+xcspM63nVwr+fOiW9P8PnYz/F7xk8D6yJVjPpVEdugrIrYBmW16tDgukgF7Ny5kylTpnD+/HmaNGnCjBkzCA8Pr+xmiUgJlFeRO+P86fOsjVvL+dPncfNww6+XHz3+0aOymyUiFqZ+VcQ2KKsitkFZrTo0uC5SAcuWLavsJohIOSmvIndGl6Fd6DK0S2U3Q0RuM/WrIrZBWRWxDcpq1XHbHmgqIiIiIiIiIiIiIlJVaXBdRERERERERERERKSCNLguIiIiIiIiIiIiIlJBFbrnenJyMllZWberLVYtJSUFuLu3gYgtUFZFbENhVjO/zOTUd6cquTUiUpofUn8A1K+KWDudA4vYDuVVxDYcPny4XOUMJpPJVFahHTt20KFDB/Lz82+5YbbMzs6OgoKCym6GiJRBWRWxDcqqiG0w2BkwFZT5J4OIVDL1qyK2Q3kVsQ329vZs27aN9u3bl1qmXL9cd3JyIj8/n8TERHx8fCzWQFuSnJzM6NGj7+ptIGILlFUR26CsitiGwqyGzQnDw+hR2c0RkVJkfpnJ2glr1a+K2ACdB4vYhqysLMLCwnBycrphuQrdFsbHxwd/f/9bapitKrxU527eBiK2QFkVsQ3KqohtKMyqh9EDL1+vSm6NiJSm8BZr6ldFrJ/Og0WqFj3QVERERERERERERESkgjS4LiIiIiIiIiIiIiJSQRpcFxERERERERERERGpIA2ui4iIiIiIiIiIiIhUkAbXRUqxefNmDAYDZ86cqeymWFVbRKyRNWXEmtoiYm2sKR/W1BaR22FY7WHsW7OvspsBWFdbRKoSa+rLrKktItbGmvJhTW2pKiwyuD548GAMBgOTJk0qMn3VqlUYDAZLrOK2ioiIwGAwMH369Mpuik2z5H7g7e1dof+PuLg47O3tmTp1aoXWcyOPPvooOTk5uLu7W6xOEWuhvIrYBmVV5O5weOdhIutE8mH/Dy1WZ2xWLC2DW1qsPpGqQP2qiG1QVsWWWOyX687OzkyePJnc3FxLVQnA5cuXLVrfH3322Wd8/fXX1K9f/7au525xu/aDssybN48RI0Ywb948i9VZrVo1PD09beILIpGbobyK2AZlVaTqS01MpcOQDhzacYizOWctUqebhxsOTg4WqUukKlG/KmIblFWxFRYbXA8ODsbT05O4uLhSy4wdOxY/P78i06ZPn463t7f5/eDBg3nmmWeYMGEC9evXp3nz5gDMmjWLZs2a4ezsjIeHB3379jUvU1BQQFxcHI0bN6Z69er4+vqyfPnyMtt84sQJXnvtNRYtWoSjo2PFPrCUqDz7AcCKFSto1aoVTk5OeHt7M23aNPO8Tp06cfToUSIjIzEYDGUefLZs2cLFixeJjY3l3LlzbN++vcj8b775hs6dO+Pq6oqbmxtt27YlLS0NgKNHj9KzZ09q1aqFi4sLrVq1Ijk5GSj5Upm5c+fi5eXFPffcQ+/evYmPj6dmzZrm+YX7+CeffIK3tzfu7u4MGDCA8+fPm8uUZ39NTk7GaDRSvXp1OnfuzJEjR264DURuhvKqvIptUFaVVanaLl24xJ5Vewh8KZCWIS3ZuXineV7emTw+efkT3mr2FtH1oxnfbjypi1IBuHr5KstHLGeMzxii6kXx9oNvs/6f683L/vFWLIdTDzMlaApR9aKY9vg09q3Zx7DawziecRyAg18dZFjtYXy35TumPT6N6Pujmd51OqcOnirS3ozkDN7p9A5R9aIY12Yc6yavI/9qvnn+T4d+YkaPGUTViyLukTiyN2Xflu0mcrPUr6pfFdugrCqrtsJig+v29vZMnDiRmTNncvz48Vuqa8OGDWRnZ7N+/XqSkpJIS0tj6NChxMbGkp2dzbp16wgKCjKXj4uLY+HChcyePZv9+/cTGRlJWFgYW7ZsKXUdBQUFDBw4kOjoaFq1anVL7ZXryrMfpKen069fPwYMGEBGRgZjx45l9OjRzJ8/H4CVK1fSoEEDYmNjycnJIScn54brTEhIIDQ0FEdHR0JDQ0lISCgy//nnn6dBgwbs2rWL9PR0Ro4caf4y5dVXX+XSpUts3bqVjIwMJk+eTI0aNUpcT0pKChEREbz++uvs3buXkJAQJkyYUKzcoUOHWLVqFUlJSSQlJbFly5YilzKVtb/++OOPPPvss/Ts2ZO9e/cSHh7OyJEjb7gNRG6G8qq8im1QVpVVqdr2rNrDfc3uw6OZB+36tSN1USomkwmA5InJnMw+ySvLXmHk1yN57p3ncLnXBYCtc7by7dpvGTRvEG/ufJOBHw6kdsPaJa7j93O/M/fPc6nfsj5Rm6LoPqo7n7/9eYll14xfQ69xvRi+YTh2DnYseW2Jed6hHYdY9NdFBL0SxMgdI+kX34+di3eyftq1Qf2CggLmvTAPh2oORK6PpF98v1LXI1JZ1K+qXxXboKwqq7bCotcJ9u7dGz8/P2JiYortgBXh4uLCRx99RLVq1YBrYXBxceGpp57C1dWVRo0a0aZNGwAuXbrExIkT+fLLL2nfvj0ATZo04auvvmLOnDl07NixxHVMnjwZBwcHhg4detPtlJKVtR/Ex8fTpUsXRo8eDYDRaCQzM5OpU6cyePBgateujb29Pa6urnh6et5wXefOnWP58uXs2LEDgLCwMDp06MC7775rPogdO3aM6OhoWrRoAUCzZs3Myx87dow+ffrQunVr4Nq+U5qZM2fSvXt3oqKizO3evn07SUlJRcoVFBQwf/58XF1dARg4cCAbNmxgwoQJ5dpfP/jgA5o2bWr+trV58+bmA7OIpSmvyqvYBmVVWZWqKzUxlXbPtQOgRZcWXDx3ke9TvqfZY83IPZ7L/a3vp2GbhgDc2/Be83K5J3Kp27QuTR5pgsFgoLZXyQPrAOkr0jEYDPSf3h9HZ0c8W3hyNucsS4ctLVa2xz968EDgAwAEDwvmw/4fcuX3Kzg6O/LFlC/oMqwLAaEBANTxrsOTbz7J6rGr6fb3bny3+TtOHTxFxPII3Ou5m+ub02+OZTaWiIWoX1W/KrZBWVVWbYHFfrleaPLkySxYsICsrKybrqN169bmgXWAkJAQGjVqRJMmTRg4cCCLFi0iLy8PgO+//568vDxCQkKoUaOG+bVw4UIOHTpUYv3p6em8++67zJ8/X/c7uk1utB9kZWURGBhYZFpgYCAHDx4kPz+/WPkbWbx4MU2bNsXX1xcAPz8/GjVqxNKl1/9QeOONNwgPDyc4OJhJkyYV2S+GDh3K+PHjCQwMJCYmhn379hVbR6Hs7GwCAgKKTPvje7j2sIzCAx9AvXr1OH36NFC+/TUrK4uHH364SJ2FB0qR20F5VV7FNiiryqpUPacOnuLo7qP49/EHwN7Bnja925CaeO3WL4EvBrLnsz1MCZrC6pjVHE49bF42IDSAExknmBgwkRUjV3Bg44FS13P64Gnqt6qPo/P1W2E2atuoxLL1W11/FpWbhxsAF36+AMCJb0/wn6n/YYTXCPNr6bClnDt5jst5lzn13Slq3V/LPLAO4B3gXcGtInJnqF9Vvyq2QVlVVq2dxQfXg4KC6Nq1K6NGjSq+Mjs78yWOha5cuVKsnIuLS5H3rq6u7N69m8WLF1OvXj3GjBmDr68vZ86c4cKFayd6a9asYe/eveZXZmZmqfdd37ZtG6dPn6Zhw4Y4ODjg4ODA0aNHGT58eJH7v8vNu9F+YEkJCQns37/f/P/o4OBAZmZmkQdPjB07lv3799OjRw82btxIy5Yt+eyzzwAIDw/nhx9+YODAgWRkZNCuXTtmzpx5S2364/37DQYDBQUFADe1v4rcbsrrdcqrWDNl9TplVaqK1MRUCq4WENMyhjfqvsEbdd8gZV4K33z+DRfPXaRlSEtivomh0187cfbkWWb1nsW/R/8bAC9fL8bsGUP3Ud25cvEK81+az8eDPr7lNtk5/s+fiP/3O6TCvF3+7TLdRnYjeku0+TXiqxG8lfYWDs56eKrYFvWr16lfFWumrF6nrFqn23IGNGnSJPz8/MwPIy1Ut25dTp48iclkMv9ifO/eveWq08HBgeDgYIKDg4mJiaFmzZps3LiRkJAQnJycOHbsWKm3gPmjgQMHEhwcXGRa165dGThwIC+++GK56pCylbYf+Pj4kJKSUmRaSkoKRqMRe3t74NqTlMv6ljEjI4O0tDQ2b95M7drXL4P99ddf6dSpEwcOHDBfqmM0GjEajURGRhIaGsrHH39M7969AfDy8iIiIoKIiAhGjRrF3Llzee2114qtr3nz5uzatavItD++L0vLli3L3F99fHxYvXp1kWlff/11hdYjUlHKa3HKq1gjZbU4ZVVsVf7VfHYt3UWvcb1o0blFkXkJAxPYvWI3gS8GUqNODQJCAwgIDSClfQqrx6ym17heADi7OeP/rD/+z/rj+7Qvc56bw2+5v+FSq+iPle5rdh9p/0rj6qWrODhd+xPw2O5jFW5zgwcbcPrgaeo2qVvifA+jB7kncjl78izuntd+vX5k15EKr0fkTlG/Wpz6VbFGympxyqr1uC2D661bt+b5559nxowZRaZ36tSJn376iSlTptC3b1/WrVvH2rVrcXNzu2F9SUlJ/PDDDwQFBVGrVi2Sk5MpKCigefPmuLq6EhUVRWRkJAUFBTz22GOcPXuWlJQU3NzcGDRoULH67r33Xu69994i0xwdHfH09CwWVLl5pe0Hw4cP56GHHmLcuHH079+fHTt28N577zFr1ixzGW9vb7Zu3cqAAQNwcnKiTp06xepPSEggICCgyMNtCz300EMkJCQQGxtLdHQ0ffv2pXHjxhw/fpxdu3bRp08fAIYNG0b37t0xGo3k5uayadMmfHx8Svw8r732GkFBQcTHx9OzZ082btzI2rVrK3RrofLsrxEREUybNo3o6GjCw8NJT083P4xD5HZRXotTXsUaKavFKatiq/Z/sZ+8M3k8MvARqrtVLzLvwZ4P8nXi15zNOYuXnxeeLTy5eukqmV9k4mH0AGDT+5tw83SjQesGGOwMfPPvb3DzcKO6e/Vi62rbpy1rxq9haeRSurzehdzjuWx8byNAhfL2RPQTzA2dS60GtfB92heDnYH/fvtfcg7k0OOtHhg7Gbmv6X18+rdPeTr2aX4//zvJE5JvYSuJ3F7qV4tTvyrWSFktTlm1Hha/LUyh2NhY86UKhXx8fJg1axbvv/8+vr6+7Ny503zz/hupWbMmK1eu5PHHH8fHx4fZs2ezePFiWrVqBcC4ceMYPXo0cXFx+Pj40K1bN9asWUPjxo1vy2eT8itpP/D392fZsmUsWbKEP/3pT4wZM4bY2FgGDx5cZLkjR47QtGlT6tYt/suYy5cvk5iYaD6I/VGfPn1YuHAhdnZ2/PLLL7zwwgsYjUb69etH9+7defvttwHIz8/n1VdfNe83RqOxyEH4fwUGBjJ79mzi4+Px9fVl3bp1REZG4uzsXKFtUtb+2rBhQ1asWMGqVavw9fVl9uzZTJw4sULrELkZymtxyqtYI2W1OGVVbFFqYirNOzYvNrAO4NvTlx/3/Iidgx1JsUlM6TCFmU/NxGBvYFDCtR8POddwZuOMjUzrMo34LvH8+uOvvLz0Zezsiv+J5+zmzJBPh3Ai4wRTO04leUIyXUd0BTD/kr08fLr4MGTxELI3ZRMfHM/0J6az+YPN1G5w7Vd+dnZ2vPTJS1z5/QrxwfEseX0JT7715M1sHpE7Rv1qcepXxRopq8Upq9bBYPrjTdBLsHv3btq2bUt6ejr+/v53ol1WZ9GiRYSFhd3V20CKGzJkCAcOHGDbtm2V3RT5P8qqlEZ5tS7KqpRGWbUuhVkdvmk4Xr5eld0csaC0f6Wx+P8tJu5IHNWqV6vs5sgtSvtXGomvJKpflWLUr1ofnQdLSZRV61Pe8XA9dUakAt555x1CQkJwcXFh7dq1LFiwoNRvIkWkcimvIrZBWRW5M3Yu2Ukd7zq413PnxLcn+Hzs5/g946eBdZEqRv2qiG1QVqsODa6LVMDOnTuZMmUK58+fp0mTJsyYMYPw8PDKbpaIlEB5FbENyqrInXH+9HnWxq3l/OnzuHm44dfLjx7/6FHZzRIRC1O/KmIblNWqQ4PrIhWwbNmyym6CiJST8ipiG5RVkTujy9AudBnapbKbISK3mfpVEdugrFYdt+2BpiIiIiIiIiIiIiIiVZUG10VEREREREREREREKkiD6yIiIiIiIiIiIiIiFVShe64nJyeTlZV1u9pi1VJSUoC7exuI2AJlVcQ2KKsitqEwq5lfZnLqu1OV3BoRKc0PqT8A6ldFbIHOg0Vsw+HDh8tVzmAymUxlFdqxYwcdOnQgPz//lhtmy+zs7CgoKKjsZohIGQx2BkwFZR7aRKSSqV8VsQ3qV0Vsg7IqYjt0HixiG+zt7dm2bRvt27cvtUy5frnu5OREfn4+iYmJ+Pj4WKyBtiQ5OZnRo0ff1dtAxBYUZjVsThgeRo/Kbo6IlCLzy0zWTlirflXEyqlfFbENhf2qsipi/XQeLGIbsrKyCAsLw8nJ6YblKnRbGB8fH/z9/W+pYbaq8FKdu3kbiNiCwqx6GD3w8vWq5NaISGkKby+hflXEuqlfFbENhf2qsipi/XQeLFK16IGmIiIiIiIiIiIiIiIVpMF1EREREREREREREZEK0uC6iIiIiIiIiIiIiEgFaXBdpBSbN2/GYDBw5syZym6KVbVF5HYZVnsY+9bsq+xmANbVFpGqxJr6M2tqi8jtYE19mTW1RcQaWVNGrKktIlWFNZ13WlNbqgqLDK4PHjwYg8HApEmTikxftWoVBoPBEquwuMI2/++rW7duld0sm2bJ/cDb25vp06eXu3xcXBz29vZMnTq1Quu5kUcffZScnBzc3d0tVqdIVXF452Ei60TyYf8PLVZnbFYsLYNbWqw+kapAfavI3UH9qojtUF5Fbj+dA4stsdgv152dnZk8eTK5ubmWqhKAy5cvW7S+/9WtWzdycnLMr8WLF9+2dd0tbtd+UJZ58+YxYsQI5s2bZ7E6q1Wrhqenp9V+QSRSmVITU+kwpAOHdhzibM5Zi9Tp5uGGg5ODReoSqUrUt4pUfepXRWyH8ipyZ+gcWGyFxQbXg4OD8fT0JC4urtQyY8eOxc/Pr8i06dOn4+3tbX4/ePBgnnnmGSZMmED9+vVp3rw5ALNmzaJZs2Y4Ozvj4eFB3759zcsUFBQQFxdH48aNqV69Or6+vixfvrzMNjs5OeHp6Wl+1apVq2IfWoopz34AsGLFClq1aoWTkxPe3t5MmzbNPK9Tp04cPXqUyMhI81UFN7JlyxYuXrxIbGws586dY/v27UXmf/PNN3Tu3BlXV1fc3Nxo27YtaWlpABw9epSePXtSq1YtXFxcaNWqFcnJyUDJl8rMnTsXLy8v7rnnHnr37k18fDw1a9Y0zy/cxz/55BO8vb1xd3dnwIABnD9/3lymPPtrcnIyRqOR6tWr07lzZ44cOXLDbSByJ126cIk9q/YQ+FIgLUNasnPxTvO8vDN5fPLyJ7zV7C2i60czvt14UhelAnD18lWWj1jOGJ8xRNWL4u0H32b9P9ebl/3jJaiHUw8zJWgKUfWimPb4NPat2cew2sM4nnEcgINfHWRY7WF8t+U7pj0+jej7o5nedTqnDp4q0t6M5Aze6fQOUfWiGNdmHOsmryP/ar55/k+HfmJGjxlE1Ysi7pE4sjdl35btJnKz1Leqb5WqTf2qiO1QXkXuHJ0D6xzYVljsq1F7e3smTpzIn//8Z4YOHUqDBg1uuq4NGzbg5ubG+vXXOpu0tDSGDh3KJ598wqOPPsqvv/7Ktm3bzOXj4uJITExk9uzZNGvWjK1btxIWFkbdunXp2LFjqevZvHkz9913H7Vq1eLxxx9n/Pjx3HvvvTfdbinffpCenk6/fv0YO3Ys/fv3Z/v27fztb3/j3nvvZfDgwaxcuRJfX19efvllhgwZUuY6ExISCA0NxdHRkdDQUBISEnj00UfN859//nnatGnDBx98gL29PXv37sXR0RGAV199lcuXL7N161ZcXFzIzMykRo0aJa4nJSWFiIgIJk+ezNNPP82XX37J6NGji5U7dOgQq1atIikpidzcXPr168ekSZOYMGECUPb++uOPP/Lss8/y6quv8vLLL5OWlsbw4cPLtf1F7oQ9q/ZwX7P78GjmQbt+7fjszc8IjgzGYDCQPDGZk9kneWXZK7jc68LPP/zMld+vALB1zla+Xfstg+YNolaDWpw5cYbcEyX/CuH3c78z989zaRnSkhc+fIFff/yVz976rMSya8avode4XtS4twbLhi9jyWtLeH3d6wAc2nGIRX9dxLOTnqVJ+yb8cvgXlkYuBaDb37tRUFDAvBfm4XqfK5HrI/n93O989mbJ6xGpLOpb1bdK1aZ+VcR2KK8id47OgXUObCsset1R79698fPzIyYmhoSEhJuux8XFhY8++ohq1aoBsHLlSlxcXHjqqadwdXWlUaNGtGnTBoBLly4xceJEvvzyS9q3bw9AkyZN+Oqrr5gzZ06pg+vdunXj2WefpXHjxhw6dIg333yT7t27s2PHDuzt7W+67VL2fhAfH0+XLl3MBw6j0UhmZiZTp05l8ODB1K5dG3t7e1xdXfH09Lzhus6dO8fy5cvZsWMHAGFhYXTo0IF3333XfBA7duwY0dHRtGjRAoBmzZqZlz927Bh9+vShdevWwLV9pzQzZ86ke/fuREVFmdu9fft2kpKSipQrKChg/vz5uLq6AjBw4EA2bNjAhAkTyrW/fvDBBzRt2tT8bWvz5s3JyMhg8uTJN9wWIndKamIq7Z5rB0CLLi24eO4i36d8T7PHmpF7PJf7W99PwzYNAbi34fUvLHNP5FK3aV2aPNIEg8FAba/apa4jfUU6BoOB/tP74+jsiGcLT87mnGXpsKXFyvb4Rw8eCHwAgOBhwXzY/0Ou/H4FR2dHvpjyBV2GdSEgNACAOt51ePLNJ1k9djXd/t6N7zZ/x6mDp4hYHoF7PXdzfXP6zbHMxhKxEPWt6lul6lK/KmI7lFeRO0vnwDoHtgUWuy1MocmTJ7NgwQKysrJuuo7WrVubB9YBQkJCaNSoEU2aNGHgwIEsWrSIvLw8AL7//nvy8vIICQmhRo0a5tfChQs5dOhQqesYMGAATz/9NK1bt+aZZ54hKSmJXbt2sXnz5ptut1x3o/0gKyuLwMDAItMCAwM5ePAg+fn5xcrfyOLFi2natCm+vr4A+Pn50ahRI5YuvX7i8cYbbxAeHk5wcDCTJk0qsl8MHTqU8ePHExgYSExMDPv2lf5U9OzsbAICAopM++N7uPawjMIDH0C9evU4ffo0UL79NSsri4cffrhInYUHSpHKdurgKY7uPop/H38A7B3sadO7DamJ1y55DXwxkD2f7WFK0BRWx6zmcOph87IBoQGcyDjBxICJrBi5ggMbD5S6ntMHT1O/VX0cnR3N0xq1bVRi2fqt6pv/7ebhBsCFny8AcOLbE/xn6n8Y4TXC/Fo6bCnnTp7jct5lTn13ilr31zL/QQHgHeBdwa0icmeob1XfKlWP+lUR26G8ilQOnQPrHNjaWfyJGUFBQXTt2pVRo0YxePDgIvPs7OwwmUxFpl25cqVYHS4uLkXeu7q6snv3bjZv3sx//vMfxowZw9ixY9m1axcXLlzrONasWcP9999fZDknJ6dyt7tJkybUqVOH77//ni5dupR7OSnZjfYDS0pISGD//v04OFzflQsKCpg3bx5/+ctfgGv3qfrzn//MmjVrWLt2LTExMSxZsoTevXsTHh5O165dWbNmDf/5z3+Ii4tj2rRpvPbaazfdpsJLggoZDAYKCgoALLa/ilSW1MRUCq4WENMyxjzNZDLh4ORAnyl9aBnSkphvYshcn0n25mxm9Z7FY395jF7jeuHl68WYPWPI/DKT77Z8x/yX5tO8Y3NeXPDiLbXJzvF/vif+v1voFWbu8m+X6TayGw8+9WCx5Ryc9dAosS3qW69T3ypVhfpVEduhvIpUDp0DX6dzYOt0W46okyZNws/Pz/ww0kJ169bl5MmTmEwm80ME9u7dW646HRwcCA4OJjg4mJiYGGrWrMnGjRsJCQnBycmJY8eO3fD+6mU5fvw4v/zyC/Xq1bvpOqSo0vYDHx8fUlJSikxLSUnBaDSab8lTrVq1Mr9lzMjIIC0tjc2bN1O79vXL6n799Vc6derEgQMHzJfqGI1GjEYjkZGRhIaG8vHHH9O7d28AvLy8iIiIICIiglGjRjF37twSD37Nmzdn165dRab98X1ZWrZsWeb+6uPjw+rVq4tM+/rrryu0HpHbIf9qPruW7qLXuF606NyiyLyEgQnsXrGbwBcDqVGnBgGhAQSEBpDSPoXVY1bTa1wvAJzdnPF/1h//Z/3xfdqXOc/N4bfc33CpVfRL1fua3Ufav9K4eukqDk7Xuqpju49VuM0NHmzA6YOnqdukbonzPYwe5J7I5ezJs7h7XvvVzpFdRyq8HpE7RX1rcepbxVapXxWxHcqrSOXSOXBxOge2HrdlcL1169Y8//zzzJgxo8j0Tp068dNPPzFlyhT69u3LunXrWLt2LW5ubjesLykpiR9++IGgoCBq1apFcnIyBQUFNG/eHFdXV6KiooiMjKSgoIDHHnuMs2fPkpKSgpubG4MGDSpW34ULF3j77bfp06cPnp6eHDp0iBEjRvDAAw/QtWtXi26Lu1lp+8Hw4cN56KGHGDduHP3792fHjh289957zJo1y1zG29ubrVu3MmDAAJycnKhTp06x+hMSEggICCAoKKjYvIceeoiEhARiY2OJjo6mb9++NG7cmOPHj7Nr1y769OkDwLBhw+jevTtGo5Hc3Fw2bdqEj49PiZ/ntddeIygoiPj4eHr27MnGjRtZu3ZtmU+b/l/l2V8jIiKYNm0a0dHRhIeHk56ezvz588u9DpHbZf8X+8k7k8cjAx+hulv1IvMe7PkgXyd+zdmcs3j5eeHZwpOrl66S+UUmHkYPADa9vwk3TzcatG6Awc7AN//+BjcPN6q7Vy+2rrZ92rJm/BqWRi6ly+tdyD2ey8b3NgJUKHNPRD/B3NC51GpQC9+nfTHYGfjvt/8l50AOPd7qgbGTkfua3senf/uUp2Of5vfzv5M8IfkWtpLI7aW+tTj1rWKr1K+K2A7lVaRy6Ry4OJ0DWw+L33O9UGxsrPlShUI+Pj7MmjWL999/H19fX3bu3Gm+ef+N1KxZk5UrV/L444/j4+PD7NmzWbx4Ma1atQJg3LhxjB49mri4OHx8fOjWrRtr1qyhcePGJdZnb2/Pvn37ePrppzEajfzlL3+hbdu2bNu2TZdOWFhJ+4G/vz/Lli1jyZIl/OlPf2LMmDHExsYWubwnNjaWI0eO0LRpU+rWLf5N++XLl0lMTDQfxP6oT58+LFy4EDs7O3755RdeeOEFjEYj/fr1o3v37rz99tsA5Ofn8+qrr5r3G6PRWOQg/L8CAwOZPXs28fHx+Pr6sm7dOiIjI3F2dq7QNilrf23YsCErVqxg1apV+Pr6Mnv2bCZOnFihdYjcDqmJqTTv2LzYHxQAvj19+XHPj9g52JEUm8SUDlOY+dRMDPYGBiVc+5LTuYYzG2dsZFqXacR3iefXH3/l5aUvY2dXvCtydnNmyKdDOJFxgqkdp5I8IZmuI659+Vn4C57y8Oniw5DFQ8jelE18cDzTn5jO5g82U7vBtV8j2NnZ8dInL3Hl9yvEB8ez5PUlPPnWkzezeUTuGPWtxalvFVukflXEdiivIpVP58DF6RzYOhhMf7wJegl2795N27ZtSU9Px9/f/060y+osWrSIsLCwu3obSHFDhgzhwIEDbNu2rbKbIv+nMKvDNw3Hy9erspsjFpT2rzQW/7/FxB2Jo1r1amUvIFYt7V9pJL6SqH5VilHfal3Ur1Zd6lerlsJ+VVmtmpTXqkXnwVISnQNbn/KOh+spFiIV8M477xASEoKLiwtr165lwYIFpX4TKSK3ZueSndTxroN7PXdOfHuCz8d+jt8zfvqDQqSKUd8qcmeoXxWxHcqrSNWnc+CqQ4PrIhWwc+dOpkyZwvnz52nSpAkzZswgPDy8spslUiWdP32etXFrOX/6PG4ebvj18qPHP3pUdrNExMLUt4rcGepXRWyH8ipS9ekcuOrQ4LpIBSxbtqyymyBy1+gytAtdhnap7GaIyG2mvlXkzlC/KmI7lFeRqk/nwFXHbXugqYiIiIiIiIiIiIhIVaXBdRERERERERERERGRCtLguoiIiIiIiIiIiIhIBVXonuvJyclkZWXdrrZYtZSUFODu3gYitqAwq5lfZnLqu1OV3BoRKc0PqT8A6ldFrJ36VRHbUNivKqsi1k/nwSK24fDhw+UqZzCZTKayCu3YsYMOHTqQn59/yw2zZXZ2dhQUFFR2M0SkDMqqiG0w2BkwFZR5GiIilUz9qohtUL8qYjvUt4rYBnt7e7Zt20b79u1LLVOuX647OTmRn59PYmIiPj4+FmugLUlOTmb06NF39TYQsQXKqohtKMxq2JwwPIweld0cESlF5peZrJ2wVv2qiJVTvypiO9S3itiGrKwswsLCcHJyumG5Ct0WxsfHB39//1tqmK0qvFTnbt4GIrZAWRWxDYVZ9TB64OXrVcmtEZHSFN5eQv2qiHVTvypiO9S3ilQteqCpiIiIiIiIiIiIiEgFaXBdRERERERERERERKSCNLguIiIiIiIiIiIiIlJBGlwXKcXmzZsxGAycOXOmsptiVW0RsUbWlBFraovI7TCs9jD2rdlX2c0ArKstIlWJNfVl1tQWkdvFmvoza2qLSFVhTX2ZNbWlqrDI4PrgwYMxGAxMmjSpyPRVq1ZhMBgssYrbIisri6effhp3d3dcXFx46KGHOHbsWGU3y2ZZcj/w9vZm+vTp5S4fFxeHvb09U6dOrdB6buTRRx8lJycHd3d3i9UpYi2UV5G7w+Gdh4msE8mH/T+0WJ2xWbG0DG5psfpEqgL1qyJ3D/WtIref+lWxJRb75bqzszOTJ08mNzfXUlUCcPnyZYvWV+jQoUM89thjtGjRgs2bN7Nv3z5Gjx6Ns7PzbVnf3eJ27QdlmTdvHiNGjGDevHkWq7NatWp4enpa9RdEIrdCeRWp+lITU+kwpAOHdhzibM5Zi9Tp5uGGg5ODReoSqUrUr4rcHdS3itwZ6lfFVlhscD04OBhPT0/i4uJKLTN27Fj8/PyKTJs+fTre3t7m94MHD+aZZ55hwoQJ1K9fn+bNmwMwa9YsmjVrhrOzMx4eHvTt29e8TEFBAXFxcTRu3Jjq1avj6+vL8uXLb9jet956iyeffJIpU6bQpk0bmjZtytNPP819991X8Q8vZuXZDwBWrFhBq1atcHJywtvbm2nTppnnderUiaNHjxIZGYnBYCjz4LNlyxYuXrxIbGws586dY/v27UXmf/PNN3Tu3BlXV1fc3Nxo27YtaWlpABw9epSePXtSq1YtXFxcaNWqFcnJyUDJl8rMnTsXLy8v7rnnHnr37k18fDw1a9Y0zy/cxz/55BO8vb1xd3dnwIABnD9/3lymPPtrcnIyRqOR6tWr07lzZ44cOXLDbSByM5RX5VWqtksXLrFn1R4CXwqkZUhLdi7eaZ6XdyaPT17+hLeavUV0/WjGtxtP6qJUAK5evsryEcsZ4zOGqHpRvP3g26z/53rzsn+8XPxw6mGmBE0hql4U0x6fxr41+xhWexjHM44DcPCrgwyrPYzvtnzHtMenEX1/NNO7TufUwVNF2puRnME7nd4hql4U49qMY93kdeRfzTfP/+nQT8zoMYOoelHEPRJH9qbs27LdRG6W+lX1q1L1qW8VuXPUr6pftRUWG1y3t7dn4sSJzJw5k+PHj99SXRs2bCA7O5v169eTlJREWloaQ4cOJTY2luzsbNatW0dQUJC5fFxcHAsXLmT27Nns37+fyMhIwsLC2LJlS4n1FxQUsGbNGoxGI127duW+++7j4YcfZtWqVbfUbinffpCenk6/fv0YMGAAGRkZjB07ltGjRzN//nwAVq5cSYMGDYiNjSUnJ4ecnJwbrjMhIYHQ0FAcHR0JDQ0lISGhyPznn3+eBg0asGvXLtLT0xk5ciSOjo4AvPrqq1y6dImtW7eSkZHB5MmTqVGjRonrSUlJISIigtdff529e/cSEhLChAkTipU7dOgQq1atIikpiaSkJLZs2VLkUqay9tcff/yRZ599lp49e7J3717Cw8MZOXLkDbeByM1QXpVXqdr2rNrDfc3uw6OZB+36tSN1USomkwmA5InJnMw+ySvLXmHk1yN57p3ncLnXBYCtc7by7dpvGTRvEG/ufJOBHw6kdsPaJa7j93O/M/fPc6nfsj5Rm6LoPqo7n7/9eYll14xfQ69xvRi+YTh2DnYseW2Jed6hHYdY9NdFBL0SxMgdI+kX34+di3eyftq1gYeCggLmvTAPh2oORK6PpF98v1LXI1JZ1K+qX5WqT32ryJ2jflX9qq2w6HVHvXv3xs/Pj5iYmGI7YEW4uLjw0UcfUa1aNeBaGFxcXHjqqadwdXWlUaNGtGnTBoBLly4xceJEvvzyS9q3bw9AkyZN+Oqrr5gzZw4dO3YsVv/p06e5cOECkyZNYvz48UyePJl169bx7LPPsmnTphKXkfIraz+Ij4+nS5cujB49GgCj0UhmZiZTp05l8ODB1K5dG3t7e1xdXfH09Lzhus6dO8fy5cvZsWMHAGFhYXTo0IF3333XfBA7duwY0dHRtGjRAoBmzZqZlz927Bh9+vShdevWwLV9pzQzZ86ke/fuREVFmdu9fft2kpKSipQrKChg/vz5uLq6AjBw4EA2bNjAhAkTyrW/fvDBBzRt2tT8bWvz5s3NB2YRS1NelVepulITU2n3XDsAWnRpwcVzF/k+5XuaPdaM3OO53N/6fhq2aQjAvQ3vNS+XeyKXuk3r0uSRJhgMBmp7lfzHP0D6inQMBgP9p/fH0dkRzxaenM05y9JhS4uV7fGPHjwQ+AAAwcOC+bD/h1z5/QqOzo58MeULugzrQkBoAAB1vOvw5JtPsnrsarr9vRvfbf6OUwdPEbE8Avd67ub65vSbY5mNJWIh6lfVr0rVpr5V5M5Sv6p+1RZY7JfrhSZPnsyCBQvIysq66Tpat25tHlgHCAkJoVGjRjRp0oSBAweyaNEi8vLyAPj+++/Jy8sjJCSEGjVqmF8LFy7k0KFDJdZfUFAAQK9evYiMjMTPz4+RI0fy1FNPMXv27Jtut1x3o/0gKyuLwMDAItMCAwM5ePAg+fn5xcrfyOLFi2natCm+vr4A+Pn50ahRI5YuvX7i8cYbbxAeHk5wcDCTJk0qsl8MHTqU8ePHExgYSExMDPv2lf5U9OzsbAICAopM++N7uPawjMIDH0C9evU4ffo0UL79NSsri4cffrhInYUHSpHbQXlVXqXqOXXwFEd3H8W/jz8A9g72tOndhtTEa5enB74YyJ7P9jAlaAqrY1ZzOPWwedmA0ABOZJxgYsBEVoxcwYGNB0pdz+mDp6nfqj6Ozo7maY3aNiqxbP1W9c3/dvNwA+DCzxcAOPHtCf4z9T+M8Bphfi0dtpRzJ89xOe8yp747Ra37a5n/+AfwDvCu4FYRuTPUr6pflapJfatI5VC/qn7V2ll8cD0oKIiuXbsyatSo4iuzszNfMlXoypUrxcq5uLgUee/q6sru3btZvHgx9erVY8yYMfj6+nLmzBkuXLjWcaxZs4a9e/eaX5mZmaXed71OnTo4ODjQsmXRp3H7+Phw7NixCn1eKdmN9gNLSkhIYP/+/Tg4OJhfmZmZRR48MXbsWPbv30+PHj3YuHEjLVu25LPPPgMgPDycH374gYEDB5KRkUG7du2YOXPmLbWp8JKgQgaDwfyFzs3sryK3m/J6nfIqVUVqYioFVwuIaRnDG3Xf4I26b5AyL4VvPv+Gi+cu0jKkJTHfxNDpr504e/Iss3rP4t+j/w2Al68XY/aMofuo7ly5eIX5L83n40Ef33Kb7Bz/57Tz/253WZi3y79dptvIbkRviTa/Rnw1grfS3sLBWQ94E9uifvU69atSlahvFakc6levU79qnW7LEXXSpEn4+fmZH0ZaqG7dupw8eRKTyWR+iMDevXvLVaeDgwPBwcEEBwcTExNDzZo12bhxIyEhITg5OXHs2LFy386lWrVqPPTQQ2RnF31Yx3fffUejRiV/IywVV9p+4OPjQ0pKSpFpKSkpGI1G7O3tgWv/R2V9y5iRkUFaWhqbN2+mdu3rl9X9+uuvdOrUiQMHDpgv1TEajRiNRiIjIwkNDeXjjz+md+/eAHh5eREREUFERASjRo1i7ty5vPbaa8XW17x5c3bt2lVk2h/fl6Vly5Zl7q8+Pj6sXr26yLSvv/66QusRqSjltTjlVWxV/tV8di3dRa9xvWjRuUWReQkDE9i9YjeBLwZSo04NAkIDCAgNIKV9CqvHrKbXuF4AOLs54/+sP/7P+uP7tC9znpvDb7m/4VKr6A8g7mt2H2n/SuPqpas4OF07rTy2u+I/VGjwYANOHzxN3SZ1S5zvYfQg90QuZ0+exd3z2i/sjuw6UuH1iNwp6leLU78qtkx9q0jlUr9anPpV63FbBtdbt27N888/z4wZM4pM79SpEz/99BNTpkyhb9++rFu3jrVr1+Lm5nbD+pKSkvjhhx8ICgqiVq1aJCcnU1BQQPPmzXF1dSUqKorIyEgKCgp47LHHOHv2LCkpKbi5uTFo0KAS64yOjqZ///4EBQXRuXNn1q1bx+eff87mzZsttRnueqXtB8OHD+ehhx5i3Lhx9O/fnx07dvDee+8xa9Yscxlvb2+2bt3KgAEDcHJyok6dOsXqT0hIICAgoMjDbQs99NBDJCQkEBsbS3R0NH379qVx48YcP36cXbt20adPHwCGDRtG9+7dMRqN5ObmsmnTJnx8fEr8PK+99hpBQUHEx8fTs2dPNm7cyNq1a8t82vT/Ks/+GhERwbRp04iOjiY8PJz09HTzwzhEbhfltTjlVWzV/i/2k3cmj0cGPkJ1t+pF5j3Y80G+Tvyaszln8fLzwrOFJ1cvXSXzi0w8jB4AbHp/E26ebjRo3QCDnYFv/v0Nbh5uVHevXmxdbfu0Zc34NSyNXEqX17uQezyXje9tBKhQ3p6IfoK5oXOp1aAWvk/7YrAz8N9v/0vOgRx6vNUDYycj9zW9j0//9ilPxz7N7+d/J3lC8i1sJZHbS/1qcepXxZapbxWpXOpXi1O/aj0sfluYQrGxseZLFQr5+Pgwa9Ys3n//fXx9fdm5c6f55v03UrNmTVauXMnjjz+Oj48Ps2fPZvHixbRq1QqAcePGMXr0aOLi4vDx8aFbt26sWbOGxo0bl1pn7969mT17NlOmTKF169Z89NFHrFixgscee+zWPrgUUdJ+4O/vz7Jly1iyZAl/+tOfGDNmDLGxsQwePLjIckeOHKFp06bUrVv8m/bLly+TmJhoPoj9UZ8+fVi4cCF2dnb88ssvvPDCCxiNRvr160f37t15++23AcjPz+fVV1817zdGo7HIQfh/BQYGMnv2bOLj4/H19WXdunVERkbi7OxcoW1S1v7asGFDVqxYwapVq/D19WX27NlMnDixQusQuRnKa3HKq9ii1MRUmndsXuyPfwDfnr78uOdH7BzsSIpNYkqHKcx8aiYGewODEq79IMG5hjMbZ2xkWpdpxHeJ59cff+XlpS9jZ1f8tNHZzZkhnw7hRMYJpnacSvKEZLqO6Apg/rVdefh08WHI4iFkb8omPjie6U9MZ/MHm6nd4Novh+zs7Hjpk5e48vsV4oPjWfL6Ep5868mb2Twid4z61eLUr4qtUt8qUvnUrxanftU6GEx/vAl6CXbv3k3btm1JT0/H39//TrTL6ixatIiwsLC7ehtIcUOGDOHAgQNs27atspsi/0dZldIor9alMKvDNw3Hy9erspsjFpT2rzQW/7/FxB2Jo1r1amUvIFYt7V9pJL6SqH5VilG/al3Ur1Zt6lurFvWtUhL1q9anvOPheoqFSAW88847hISE4OLiwtq1a1mwYEGp30SKSOVSXkXujJ1LdlLHuw7u9dw58e0JPh/7OX7P+OmPf5EqRv2qyJ2jvlWk6lO/WnVocF2kAnbu3MmUKVM4f/48TZo0YcaMGYSHh1d2s0SkBMqryJ1x/vR51sat5fzp87h5uOHXy48e/+hR2c0SEQtTvypy56hvFan61K9WHRpcF6mAZcuWVXYTRKSclFeRO6PL0C50GdqlspshIreZ+lWRO0d9q0jVp3616rhtDzQVEREREREREREREamqNLguIiIiIiIiIiIiIlJBGlwXEREREREREREREakgDa6LiIiIiIiIiIiIiFRQhR5ompycTFZW1u1qi1VLSUkB7u5tIGILlFUR21CY1cwvMzn13alKbo2IlOaH1B8A9asi1k79qojtUN8qYhsOHz5crnIGk8lkKqvQjh076NChA/n5+bfcMFtmZ2dHQUFBZTdDRMpgsDNgKijz0CYilUz9qohtUFZFbIOyKmI7lFcR22Bvb8+2bdto3759qWXK9ct1Jycn8vPzSUxMxMfHx2INtCXJycmMHj36rt4GIragMKthc8LwMHpUdnNEpBSZX2aydsJa9asiVk7nwCK2QVkVsR3Kq4htyMrKIiwsDCcnpxuWq9BtYXx8fPD397+lhtmqwkt17uZtIGILCrPqYfTAy9erklsjIqUpvGRd/aqIddM5sIhtUFZFbIfyKlK16IGmIiIiIiIiIiIiIiIVpMF1EREREREREREREZEK0uC6iIiIiIiIiIiIiEgFaXBdpBSbN2/GYDBw5syZym6KVbVF5HYZVnsY+9bsq+xmANbVFpGqxJr6M2tqi4i1saZ8WFNbRKyNNeXDmtoiYm2sKR/W1JaqwiKD64MHD8ZgMDBp0qQi01etWoXBYLDEKizOYDCU+Jo6dWplN81mWXI/8Pb2Zvr06eUuHxcXh729vUX//x599FFycnJwd3e3WJ0iVcXhnYeJrBPJh/0/tFidsVmxtAxuabH6RKoC9a0itkFZFbENyqqIbVBWxZZY7Jfrzs7OTJ48mdzcXEtVCcDly5ctWl+hnJycIq958+ZhMBjo06fPbVnf3eJ27QdlmTdvHiNGjGDevHkWq7NatWp4enpa7RdEIpUpNTGVDkM6cGjHIc7mnLVInW4ebjg4OVikLpGqRH2riG1QVkVsg7IqYhuUVbEVFhtcDw4OxtPTk7i4uFLLjB07Fj8/vyLTpk+fjre3t/n94MGDeeaZZ5gwYQL169enefPmAMyaNYtmzZrh7OyMh4cHffv2NS9TUFBAXFwcjRs3pnr16vj6+rJ8+fIbttfT07PI69///jedO3emSZMmFf/wYlae/QBgxYoVtGrVCicnJ7y9vZk2bZp5XqdOnTh69CiRkZHmKwpuZMuWLVy8eJHY2FjOnTvH9u3bi8z/5ptv6Ny5M66urri5udG2bVvS0tIAOHr0KD179qRWrVq4uLjQqlUrkpOTgZIvlZk7dy5eXl7cc8899O7dm/j4eGrWrGmeX7iPf/LJJ3h7e+Pu7s6AAQM4f/68uUx59tfk5GSMRiPVq1enc+fOHDly5IbbQOROunThEntW7SHwpUBahrRk5+Kd5nl5Z/L45OVPeKvZW0TXj2Z8u/GkLkoF4OrlqywfsZwxPmOIqhfF2w++zfp/rjcv+8dbsRxOPcyUoClE1Yti2uPT2LdmH8NqD+N4xnEADn51kGG1h/Hdlu+Y9vg0ou+PZnrX6Zw6eKpIezOSM3in0ztE1YtiXJtxrJu8jvyr+eb5Px36iRk9ZhBVL4q4R+LI3pR9W7abyM1S36q+VWyDsqqsim1QVpVVsQ3KqrJqKyw2uG5vb8/EiROZOXMmx48fv6W6NmzYQHZ2NuvXrycpKYm0tDSGDh1KbGws2dnZrFu3jqCgIHP5uLg4Fi5cyOzZs9m/fz+RkZGEhYWxZcuWcq3v1KlTrFmzhr/85S+31G4p336Qnp5Ov379GDBgABkZGYwdO5bRo0czf/58AFauXEmDBg2IjY01X1lwIwkJCYSGhuLo6EhoaCgJCQlF5j///PM0aNCAXbt2kZ6ezsiRI3F0dATg1Vdf5dKlS2zdupWMjAwmT55MjRo1SlxPSkoKERERvP766+zdu5eQkBAmTJhQrNyhQ4dYtWoVSUlJJCUlsWXLliKXMpW1v/744488++yz9OzZk7179xIeHs7IkSNvuA1E7qQ9q/ZwX7P78GjmQbt+7UhdlIrJZAIgeWIyJ7NP8sqyVxj59Uiee+c5XO51AWDrnK18u/ZbBs0bxJs732TghwOp3bB2iev4/dzvzP3zXOq3rE/Upii6j+rO529/XmLZNePX0GtcL4ZvGI6dgx1LXltinndoxyEW/XURQa8EMXLHSPrF92Pn4p2sn3ZtUL+goIB5L8zDoZoDkesj6Rffr9T1iFQW9a3qW8U2KKvKqtgGZVVZFdugrCqrtsKi19/37t0bPz8/YmJiiu2AFeHi4sJHH31EtWrVgGthcHFx4amnnsLV1ZVGjRrRpk0bAC5dusTEiRP58ssvad++PQBNmjThq6++Ys6cOXTs2LHM9S1YsABXV1eeffbZm26zXFfWfhAfH0+XLl0YPXo0AEajkczMTKZOncrgwYOpXbs29vb2uLq64unpecN1nTt3juXLl7Njxw4AwsLC6NChA++++675IHbs2DGio6Np0aIFAM2aNTMvf+zYMfr06UPr1q0BbnjlwsyZM+nevTtRUVHmdm/fvp2kpKQi5QoKCpg/fz6urq4ADBw4kA0bNjBhwoRy7a8ffPABTZs2NX/b2rx5c/OBWcQapCam0u65dgC06NKCi+cu8n3K9zR7rBm5x3O5v/X9NGzTEIB7G95rXi73RC51m9alySNNMBgM1PYqeWAdIH1FOgaDgf7T++Po7IhnC0/O5pxl6bClxcr2+EcPHgh8AIDgYcF82P9Drvx+BUdnR76Y8gVdhnUhIDQAgDredXjyzSdZPXY13f7eje82f8epg6eIWB6Bez13c31z+s2xzMYSsRD1repbxTYoq8qq2AZlVVkV26CsKqu2wGK/XC80efJkFixYQFZW1k3X0bp1a/PAOkBISAiNGjWiSZMmDBw4kEWLFpGXlwfA999/T15eHiEhIdSoUcP8WrhwIYcOHSrX+ubNm8fzzz+Ps7PzTbdZirrRfpCVlUVgYGCRaYGBgRw8eJD8/Pxi5W9k8eLFNG3aFF9fXwD8/Pxo1KgRS5deH4B74403CA8PJzg4mEmTJhXZL4YOHcr48eMJDAwkJiaGffv2FVtHoezsbAICAopM++N7uPawjMIDH0C9evU4ffo0UL79NSsri4cffrhInYUHSpHKdurgKY7uPop/H38A7B3sadO7DamJ1279EvhiIHs+28OUoCmsjlnN4dTD5mUDQgM4kXGCiQETWTFyBQc2Hih1PacPnqZ+q/o4OjuapzVq26jEsvVb1Tf/283DDYALP18A4MS3J/jP1P8wwmuE+bV02FLOnTzH5bzLnPruFLXur2UeWAfwDvCu4FYRuTPUt6pvFdugrCqrYhuUVWVVbIOyqqxaO4sPrgcFBdG1a1dGjRpVfGV2duZbBxS6cuVKsXIuLi5F3ru6urJ7924WL15MvXr1GDNmDL6+vpw5c4YLF64NoKxZs4a9e/eaX5mZmWXedx1g27ZtZGdnEx4eXpGPKWW40X5gSQkJCezfvx8HBwfzK/P/t3f/MVHfdxzHX3e4gr/OHwF1iRh/ZIeHP46Aki46ywRaKVNncVbizxno2DrbomJmnKCwakOVNKiMxjCrQ0WNP6tg/zmc7qICWg1V6ZZYg1qtVRkSf8uxPygonghXxbujz0fCH9wd3++by/d178v7e/f9nDnTZOGJpUuX6vTp04qNjZXNZlNwcLB27dolSUpISNC5c+c0Y8YMlZeXa8SIEVq9evVz1dTwlaAGBoNBDodDkp77eAXc7Vj+MTkeOpQWnKZ5AfM0L2Ce7P+w69Tnp3Tn5h0FRwcr7VSaIv4Yoeor1cqZlKM9S/ZIkgKtgUr9MlUxi2L04M4DfTbnM62ftf65azL+7LFW9sMl9Boyd//WfY37yzil/Cul8WfhvxdqcdlidfBj8VR4F3rrI/RWeDKy+ghZhScjq4+QVXgysvoIWfVMbTJZ+OijjxQSEtK4GGmDgIAAXblyRXV1dY2LCJw8ebJV2+zQoYOioqIUFRWltLQ0de/eXTabTdHR0fL19VVlZWWrLgHzpLy8PIWFhTWemcKL09xxYLFYZLfbm9xmt9tlNpvl4+MjqX4l5ZbOMpaXl6usrEwHDx5Uz56PLi9x48YNRUREqKKiovGrOmazWWazWcnJyYqPj9f69es1adIkSVJgYKCSkpKUlJSkRYsWad26dZo7d67T/oKCglRaWtrktid/b0lwcHCLx6vFYtHevXub3Hb06FGX9gO0hdqHtSrdWqqJGRM1+NeDm9yXNyNPJ3ac0Kjfj1IX/y4Kjw9XeHy47L+0a2/qXk3MmChJ8jP5KfStUIW+FSrrBKs+/d2nulV1S517ND2p2usXvVS2vUwP7z1UB9/6VlV5otLlmvsO76ur/72qgIEBT72/t7m3qi5VqfpKtbr1qf/0+vnS8y7vB3hZ6K3O6K3wRGTVGVmFJyKrzsgqPBFZdUZWPUebDNeHDRumadOmKTs7u8ntERER+v7775WZmanJkyfrwIEDKioqkslkeub29u3bp3PnzmnMmDHq0aOHCgsL5XA4FBQUpK5du2rBggVKTk6Ww+HQ6NGjVV1dLbvdLpPJpFmzZjW73Zs3b2r79u1NVhLGi9PccTB//nyNHDlSGRkZevvtt3XkyBGtWbNGOTk5jY/p37+/Dh06pKlTp8rX11f+/v5O28/Ly1N4eHiTxW0bjBw5Unl5eUpPT1dKSoomT56sAQMG6OLFiyotLVVcXJwk6YMPPlBMTIzMZrOqqqpUXFwsi8Xy1P9n7ty5GjNmjLKysjR+/HjZbDYVFRW1uNr041pzvCYlJWnVqlVKSUlRQkKCjh8/3rgYB+BOp784rdv/u61XZ7yqjqaOTe4bPn64juYfVfXlagWGBKrP4D56eO+hznxxRr3NvSVJxWuLZepjUt9hfWUwGnRqzymZepvUsVtHp32FxYVp/9/2a2vyVkW+H6mqi1WyrbFJkkuZez3lda2LX6cefXvIOsEqg9Ggb7/6VpcrLit2cazMEWb1GtRLm/+0WRPSJ+huzV0Vflj4HM8S0Lborc7orfBEZNUZWYUnIqvOyCo8EVl1RlY9xwu/LEyD9PT0xq8qNLBYLMrJydHatWtltVpVUlLSePH+Z+nevbt27typsWPHymKxKDc3V1u2bNGQIUMkSRkZGVqyZIlWrFghi8WicePGaf/+/RowYMAzt1tQUKC6ujrFx8f/+H8Uz/S04yA0NFTbtm1TQUGBhg4dqtTUVKWnp2v27NlN/u78+fMaNGiQAgKcP3F6//595efnN76IPSkuLk4bN26U0WjU9evXNXPmTJnNZk2ZMkUxMTFatmyZJKm2tlbvvvtu43FjNpubvAg/btSoUcrNzVVWVpasVqsOHDig5ORkl6/V39Lx2q9fP+3YsUO7d++W1WpVbm6uli9f7tI+gLZwLP+Ygl4LchqsS5J1vFUXvrwgYwej9qXvU+avMrX6N6tl8DFoVl79SU6/Ln6yZdu0KnKVsiKzdOPCDb2z9R0Zjc6tyM/kp8TNibpUfkkfv/axCj8s1BsL35Ckxk+yt4Yl0qLELYn6uvhrZUVl6ZPXP9HBvx9Uz771n0YwGo2a8885enD3gbKislTwfoHeXPzmj3l6gJeG3uqM3gpPRFadkVV4IrLqjKzCE5FVZ2TVMxjqnrwI+lOcOHFCYWFhOn78uEJDQ19GXR5n06ZNmj59+k/6OYCzxMREVVRU6PDhw+4uBT9oyOr84vkKtAa6uxy8QGXby7Tlz1u04vwKvdLxlZb/AB6tbHuZ8v+QT1+FE3qrZ+E9MJpDVj0LWUVzyKrnIa94GrLqeVo7D2c1N8AFK1euVHR0tDp37qyioiJt2LCh2TORAJ5PSUGJ/Pv7q9vPu+nSV5f0+dLPFfLbEAbrQDtDbwW8A1kFvANZBbwDWW0/GK4DLigpKVFmZqZqamo0cOBAZWdnKyEhwd1lAe1SzdUaFa0oUs3VGpl6mxQyMUSxf411d1kAXjB6K+AdyCrgHcgq4B3IavvBcB1wwbZt29xdAvCTEflepCLfi3R3GQDaGL0V8A5kFfAOZBXwDmS1/WizBU0BAAAAAAAAAGivGK4DAAAAAAAAAOAihusAAAAAAAAAALjIpWuunz17tq3q8HjffPONpJ/2cwB4g4asfvef79xcCYBnuV55XRJ9FfB0vAcGvANZBbwHeQW8Q2szaqirq6tr6UGVlZWyWCy6ffv2cxfmzXx8fFRbW+vuMgC0wGA0qM7R4ksbADcz+hjlqHW4uwwALeA9MOAdyCrgPcgr4B06deqks2fPql+/fs0+plXDdal+wH7t2rUXVpw3unfvnnx9fd1dBoAWkFXAO5BVwDuQVcA7kFXAe5BXwDv4+/s/c7AuuTBcBwAAAAAAAAAA9VjQFAAAAAAAAAAAFzFcBwAAAAAAAADARQzXAQAAAAAAAABwEcN1AAAAAAAAAABcxHAdAAAAAAAAAAAXMVwHAAAAAAAAAMBFDNcBAAAAAAAAAHDR/wEdjr2qC0SaIAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query166: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) != (shifts[1,1,1])]\n",
      "Query167: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query168: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query169: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,1]) != (shifts[1,1,1])]\n",
      "Size of CL:  26\n",
      "Size of B:  106\n",
      "Number of Queries:  170\n",
      "Query170: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) > (shifts[1,2,1]), (shifts[0,0,1]) > (shifts[1,2,0]), (shifts[1,0,1]) == (shifts[1,2,0]), (shifts[1,0,1]) == (shifts[1,2,1]), (shifts[1,0,0]) <= (shifts[1,2,1]), (shifts[1,0,0]) >= (shifts[1,2,0]), (shifts[0,1,1]) >= (shifts[1,2,0]), (shifts[0,2,0]) < (shifts[1,2,1]), (shifts[1,0,1]) < (shifts[1,2,1]), (shifts[0,0,1]) < (shifts[1,2,1]), (shifts[0,2,0]) >= (shifts[1,2,0]), (shifts[1,0,0]) == (shifts[1,2,1]), (shifts[0,1,1]) == (shifts[1,2,0]), (shifts[0,1,1]) <= (shifts[1,2,1]), (shifts[1,0,1]) <= (shifts[1,2,1]), (shifts[0,0,0]) > (shifts[1,2,0]), (shifts[0,2,1]) > (shifts[1,2,0]), (shifts[1,1,1]) == (shifts[1,2,1]), (shifts[1,1,1]) > (shifts[1,2,0]), (shifts[0,1,1]) == (shifts[1,2,1]), (shifts[0,0,1]) >= (shifts[1,2,0]), (shifts[1,1,1]) >= (shifts[1,2,1]), (shifts[1,0,1]) >= (shifts[1,2,0]), (shifts[0,2,1]) >= (shifts[1,2,1]), (shifts[1,1,0]) <= (shifts[1,1,1]), (shifts[0,1,1]) < (shifts[1,2,1]), (shifts[1,1,0]) >= (shifts[1,2,0]), (shifts[1,1,1]) >= (shifts[1,2,0]), (shifts[1,1,1]) > (shifts[1,2,1]), (shifts[0,0,0]) >= (shifts[1,2,0]), (shifts[0,2,1]) != (shifts[1,1,1]), (shifts[0,2,0]) > (shifts[1,2,0]), (shifts[1,1,0]) < (shifts[1,2,1]), (shifts[1,0,0]) > (shifts[1,2,0]), (shifts[1,0,0]) < (shifts[1,2,1]), (shifts[1,1,0]) > (shifts[1,2,0]), (shifts[0,2,0]) <= (shifts[1,2,1]), (shifts[0,0,1]) <= (shifts[1,2,1]), (shifts[0,2,0]) == (shifts[1,2,1]), (shifts[1,1,1]) == (shifts[1,2,0]), (shifts[0,0,0]) < (shifts[1,2,1]), (shifts[0,1,0]) < (shifts[1,2,1]), (shifts[0,0,1]) == (shifts[1,2,1]), (shifts[0,0,0]) <= (shifts[1,2,1]), (shifts[0,1,0]) >= (shifts[1,2,0]), (shifts[1,1,0]) == (shifts[1,2,1]), (shifts[0,0,0]) == (shifts[1,2,1]), (shifts[1,2,0]) <= (shifts[1,2,1]), (shifts[1,2,0]) == (shifts[1,2,1]), (shifts[1,1,0]) <= (shifts[1,2,1]), (shifts[1,2,0]) < (shifts[1,2,1]), (shifts[0,1,0]) > (shifts[1,2,0]), (shifts[0,1,0]) > (shifts[1,2,1]), (shifts[0,2,1]) == (shifts[1,2,1]), (shifts[0,2,1]) >= (shifts[1,2,0]), (shifts[0,1,0]) != (shifts[1,2,1]), (shifts[1,1,0]) == (shifts[1,2,0])]\n",
      "Size of CL:  26\n",
      "Size of B:  49\n",
      "Number of Queries:  171\n",
      "Query171: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query172: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) != (shifts[1,1,1])]\n",
      "Query173: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query174: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query175: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,0]) != (shifts[1,2,0]), (shifts[0,1,1]) <= (shifts[1,2,0])]\n",
      "Query176: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query177: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,2,0])]\n",
      "Size of CL:  27\n",
      "Size of B:  45\n",
      "Number of Queries:  178\n",
      "Query178: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query179: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) != (shifts[1,1,1])]\n",
      "Query180: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,0]) < (shifts[1,2,0]), (shifts[0,0,1]) != (shifts[1,2,0]), (shifts[1,0,1]) <= (shifts[1,2,0]), (shifts[1,1,1]) <= (shifts[1,2,0]), (shifts[1,1,0]) <= (shifts[1,2,0]), (shifts[1,1,1]) < (shifts[1,2,0])]\n",
      "Query181: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query182: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,0,0]) >= (shifts[1,2,1]), (shifts[0,1,0]) >= (shifts[1,2,1]), (shifts[0,2,0]) > (shifts[1,2,1]), (shifts[0,1,1]) > (shifts[1,2,1]), (shifts[0,0,1]) >= (shifts[1,2,1]), (shifts[0,0,0]) > (shifts[1,2,1]), (shifts[0,1,1]) >= (shifts[1,2,1]), (shifts[1,0,0]) > (shifts[1,2,1]), (shifts[1,0,1]) > (shifts[1,2,1]), (shifts[0,0,1]) > (shifts[1,2,1]), (shifts[0,2,1]) <= (shifts[1,2,1]), (shifts[0,1,0]) == (shifts[1,2,1]), (shifts[1,1,0]) >= (shifts[1,2,1]), (shifts[0,2,1]) < (shifts[1,2,1]), (shifts[1,0,1]) >= (shifts[1,2,1]), (shifts[0,0,0]) >= (shifts[1,2,1]), (shifts[0,2,0]) != (shifts[1,2,1]), (shifts[1,1,0]) > (shifts[1,2,1])]\n",
      "Query183: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query184: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query185: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,1]) < (shifts[1,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,1,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  28\n",
      "Size of B:  18\n",
      "Number of Queries:  186\n",
      "Query186: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query187: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query188: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query189: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,0]) != (shifts[1,2,0])]\n",
      "Query190: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,1,0]) != (shifts[1,2,0])]\n",
      "Size of CL:  29\n",
      "Size of B:  16\n",
      "Number of Queries:  191\n",
      "Query191: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query192: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) != (shifts[1,2,0])]\n",
      "Query193: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query194: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query195: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) <= (shifts[1,2,1]), (shifts[0,2,0]) >= (shifts[1,2,1]), (shifts[0,0,0]) != (shifts[1,2,1])]\n",
      "Query196: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  30\n",
      "Size of B:  11\n",
      "Number of Queries:  197\n",
      "Query197: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query198: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query199: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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TtWnTJlWrVs28/Ndff1Xbtm21f/9+NW7cWJLk7+8vf39/RUVFqXfv3po7d666du0qSfLx8VFkZKQiIyM1cuRIzZ49W4MGDSqwv0aNGmnnzp35lt38uDiBgYHFjteAgACtWrUq37KvvvrKqv0A1iKvBZFX2CKyWhBZhS0iqwWRVdgisloQWYUtIqsFkVXbUSrF9aZNm+r555/X9OnT8y1v27atfv75Z02ePFndu3fXunXrtHbt2mI/Mb569WodPnxYrVu3VtWqVZWUlKTc3Fw1atRI7u7uGj58uKKiopSbm6vHHntM586dU0pKijw8PNSvX78C27t69aq6d++uXbt2afXq1crJydHJkyclSdWqVct3SRrcvqLGwbBhw/TQQw9p7Nix6tmzp7Zt26b33ntPM2fONLfx8/PT5s2b1atXLzk7O6tGjRoFtp+QkKDQ0FC1bt26wLqHHnpICQkJio2NVXR0tLp376569erpxx9/1M6dO9WtWzdJ0pAhQ9SpUyf5+/srKytLGzduVEBAQKGvZ9CgQWrdurXi4+PVpUsXJScna+3atcXebfqPLBmvkZGRmjp1qqKjozVgwAClpaVp3rx5Fu8DuB3ktSDyCltEVgsiq7BFZLUgsgpbRFYLIquwRWS1ILJqQ0riAu5/vNFAniNHjhgVK1Y0bt7FBx98YPj4+Bhubm7GCy+8YIwfP77ADU1v3taWLVuMNm3aGFWrVjVcXV2NBx980Fi8eLF5fW5urjFt2jSjUaNGRoUKFYyaNWsaHTp0MN+V92ZHjhwxJBX6s3HjxkKfww0nimfNOFi6dKkRGBhoVKhQwahbt64xZcqUfOu3bdtmPPjgg4azs3OB5xqGYVy+fNmoXr26MXny5EL7MmnSJOO+++4zLl26ZPTq1cvw8fExKlasaNSuXdv4+9//bly8eNEwDMP4+9//bjRo0MBwdnY2atasafTt29c4c+aMYRgFbzhhGIbx0UcfGffff7/h6upqPPPMM8a4ceMMb29v83pLbtpryXj97LPPjAceeMBwdnY2WrVqZcyZM4cbTliIrFqGvJLXskZWLUNWyWpZI6uWIatktayRVcuQVbJqC8hr8cgqWbUFlt7Q1GQYN10EvRC7du1S8+bNlZaWppCQkDsq5turBQsWqE+fPvf0MUBBAwcO1P79+7Vly5ay7gr+D1lFUcirbSGrKApZtS1kFUUhq7aFrKIoZNX2kFcUhqzaHkvr4aVyWRigvHr77bcVEREhNzc3rV27VvPnz8/3dSMAtoO8AvaBrAL2gawC9oGsAvaBrJYfFNcBK+zYsUOTJ0/WhQsXVL9+fU2fPl0DBgwo624BKAR5BewDWQXsA1kF7ANZBewDWS0/KK4DVliyZElZdwGAhcgrYB/IKmAfyCpgH8gqYB/IavnhUNYdAAAAAAAAAADA3lBcBwAAAAAAAADAShTXAQAAAAAAAACwEsV1AAAAAAAAAACsZNUNTZOSkpSRkVFafbFpKSkpku7tYwDYA7IK2AeyCtgHsgrYB7IK2A/yCtiHI0eOWNTOZBiGUVyjbdu2qVWrVsrJybnjjtkzBwcH5ebmlnU3ABSDrAL2gawC9sHkYJKRW+yvDADKGPMqYD+YWwH7YHIwKeXLFLVs2bLINhZ9ct3Z2Vk5OTlKTExUQEBAiXXQniQlJWnUqFH39DEA7AFZBewDWQXsQ15W+3zYR17+XmXdHQBFSP88XWvHr2VeBewAcytgH059d0qJryTK2dn5lu2suixMQECAQkJC7qhj9irvqzr38jEA7AFZBewDWQXsQ15Wvfy95BPkU8a9AVCUU9+dksS8CtgD5lagfOGGpgAAAAAAAAAAWIniOgAAAAAAAAAAVqK4DhRh06ZNMplMOnv2bFl3xab6AtgiW8qILfUFsDW2lA9b6gtQGoZUG6Jv1nxT1t2QZFt9AcoTW5rLbKkvQGmxpfnMlvpyryuR4nr//v1lMpk0ceLEfMtXrlwpk8lUErsocWPGjFHjxo3l5uamqlWrKjw8XNu3by/rbtm1khwHfn5+mjZtmsXt4+Li5OjoqClTpli1n1t59NFHlZmZKU9PzxLbJmAryCtgH8gqcG84suOIompE6aOeH5XYNmMzYhUYHlhi2wPKA+ZV4N7B3Iq7pcQ+ue7i4qJJkyYpKyurpDYpSbpy5UqJbi+Pv7+/3nvvPe3du1dffvml/Pz89MQTT+jnn38ulf3dK0prHBRnzpw5GjFihObMmVNi26xYsaK8vb1t9g9EwJ0ir4B9IKtA+bc9cbtaDWylQ9sO6VzmuRLZpoeXh5ycnUpkW0B5wrwK3BuYW3G3lFhxPTw8XN7e3oqLiyuyzZgxYxQcHJxv2bRp0+Tn52d+3L9/fz3zzDMaP368ateurUaNGkmSZs6cqYYNG8rFxUVeXl7q3r27+Tm5ubmKi4tTvXr15OrqqqCgIC1duvSW/X3uuecUHh6u+vXrq0mTJoqPj9f58+f1zTd8peJOWDIOJGnZsmVq0qSJnJ2d5efnp6lTp5rXtW3bVseOHVNUVJRMJlOxJwpffPGFLl68qNjYWJ0/f15bt27Nt/7rr79Wu3bt5O7uLg8PDzVv3lypqamSpGPHjqlLly6qWrWq3Nzc1KRJEyUlJUkq/Gtts2fPlo+PjypVqqSuXbsqPj5eVapUMa/PG+OffPKJ/Pz85OnpqV69eunChQvmNpaM16SkJPn7+8vV1VXt2rXT0aNHb3kMgNtBXskr7ANZJaso3y7/dlm7V+5W2EthCowI1I6FO8zrss9m65OXP9GbDd9UdO1ojWsxTtsXXP+27bUr17R0xFKNDhit4bWG660H39L6d9abn3vz18WPbD+iya0na3it4Zr6+FR9s+YbDak2RD/u/VGSdPDLgxpSbYi+++I7TX18qqLvj9a0DtN06uCpfP3dm7RXb7d9W8NrDdfYZmO1btI65VzLMa//+dDPmt55uobXGq64R+J0YOOBUjluwO1iXmVeRfnH3Iq7qcT+3OLo6KgJEyboueee0+DBg1WnTp3b3taGDRvk4eGh9euvD+DU1FQNHjxYn3zyiR599FH9+uuv2rJli7l9XFycEhMTNWvWLDVs2FCbN29Wnz59VLNmTbVp06bY/V25ckUfffSRPD09FRQUdNv9hmXjIC0tTT169NCYMWPUs2dPbd26VX/7299UvXp19e/fX8uXL1dQUJBefvllDRw4sNh9JiQkqHfv3qpQoYJ69+6thIQEPfroo+b1zz//vJo1a6YPPvhAjo6O2rNnjypUqCBJevXVV3XlyhVt3rxZbm5uSk9PV+XKlQvdT0pKiiIjIzVp0iQ99dRT+vzzzzVq1KgC7Q4dOqSVK1dq9erVysrKUo8ePTRx4kSNHz9eUvHj9YcfftCzzz6rV199VS+//LJSU1M1bNgwi44/YA3ySl5hH8gqWUX5tnvlbt3X8D55NfRSix4ttOIfKxQeFS6TyaSkCUk6eeCkXlnyityqu+nM4TO6eumqJGnzh5v17dpv1W9OP1WtU1VnT5xV1onCP4l76fwlzX5utgIjAvXCRy/o1x9+1Yo3VxTads24NXp67NOqXL2ylgxbokWDFum1da9Jkg5tO6QFf12gZyc+q/ot6+uXI79ocdRiSVLH1zsqNzdXc16YI/f73BW1PkqXzl/Sin8Uvh+grDCvMq+i/GNuxd1Uot9l6Nq1q4KDgxUTE6OEhITb3o6bm5v+9a9/qWLFipKk5cuXy83NTU8++aTc3d3l6+urZs2aSZIuX76sCRMm6PPPP1fLli0lSfXr19eXX36pDz/88JbF9dWrV6tXr17Kzs5WrVq1tH79etWoUeO2+43rihsH8fHxat++vXmS9/f3V3p6uqZMmaL+/furWrVqcnR0lLu7u7y9vW+5r/Pnz2vp0qXatm2bJKlPnz5q1aqV3n33XfMJx/HjxxUdHa3GjRtLkho2bGh+/vHjx9WtWzc1bdpU0vWxU5QZM2aoU6dOGj58uLnfW7du1erVq/O1y83N1bx58+Tu7i5J6tu3rzZs2KDx48dbNF4/+OADNWjQwPzJiEaNGmnv3r2aNGnSLY8FcDvIK3mFfSCrZBXl1/bE7WrxlxaSpMbtG+vi+Yv6PuV7NXysobJ+zNL9Te9X3WZ1JUnV61Y3Py/rRJZqNqip+o/Ul8lkUjWfakXuI21Zmkwmk3pO66kKLhXk3dhb5zLPafGQxQXadv5nZz0Q9oAkKXxIuD7q+ZGuXrqqCi4V9N/J/1X7Ie0V2jtUklTDr4b+/I8/a9WYVer4ekd9t+k7nTp4SpFLI+VZy9O8vQ97fFgyBwsoIcyrzKso35hbcTeV2GVh8kyaNEnz589XRkbGbW+jadOm5sK6JEVERMjX11f169dX3759tWDBAmVnZ0uSvv/+e2VnZysiIkKVK1c2/3z88cc6dOjQLffTrl077dmzR1u3blXHjh3Vo0cPnT59+rb7jRtuNQ4yMjIUFhaWb1lYWJgOHjyonJycAu1vZeHChWrQoIH5GwfBwcHy9fXV4sU33syGDh2qAQMGKDw8XBMnTsw3LgYPHqxx48YpLCxMMTExt7ws0IEDBxQaGppv2c2Ppes3tsk7SZGkWrVqmceVJeM1IyNDDz/8cL5t5p3UAKWBvJJX2AeySlZR/pw6eErHdh1TSLcQSZKjk6OadW2m7YnXv54e9mKYdq/YrcmtJ2tVzCod2X7E/NzQ3qE6sfeEJoRO0LI3lml/8v4i93P64GnVblJbFVwqmJf5NvcttG3tJrXN//bw8pAk/XbmN0nSiW9P6H9T/qcRPiPMP4uHLNb5k+d1JfuKTn13SlXvr2r+5V+S/EL9rDwqwN3BvMq8ivKJuRV3W4kX11u3bq0OHTpo5MiRBXfm4CDDMPItu3r1aoF2bm5u+R67u7tr165dWrhwoWrVqqXRo0crKChIZ8+e1W+/XR+Ma9as0Z49e8w/6enpxV533c3NTQ888IAeeeQRJSQkyMnJ6Y4+cY8bbjUOSlJCQoL27dsnJycn8096enq+m8SMGTNG+/btU+fOnZWcnKzAwECtWHH9KzQDBgzQ4cOH1bdvX+3du1ctWrTQjBkz7qhPeV/fy2MymZSbmytJdzRegdJCXm8gr7BlZPUGsoryYnviduVey1VMYIyG1hyqoTWHKmVOir7+7GtdPH9RgRGBivk6Rm3/2lbnTp7TzK4z9Z9R/5Ek+QT5aPTu0eo0spOuXryqeS/N09x+c++4Tw4V/vAr4v9dRjovb1d+v6KOb3RU9BfR5p8RX47Qm6lvysmFG7zBvjCv3sC8ivKEuRV3W6n8L02cOFHBwcHmm5HmqVmzpk6ePCnDMMw3/NizZ49F23RyclJ4eLjCw8MVExOjKlWqKDk5WREREXJ2dtbx48ctur76reTm5ury5ct3tA3cUNQ4CAgIUEpKSr5lKSkp8vf3l6Ojo6Trdz0v7hMBe/fuVWpqqjZt2qRq1W58VefXX39V27ZttX//fvPX6vz9/eXv76+oqCj17t1bc+fOVdeuXSVJPj4+ioyMVGRkpEaOHKnZs2dr0KBBBfbXqFEj7dy5M9+ymx8XJzAwsNjxGhAQoFWrVuVb9tVXX1m1H8Ba5LUg8gpbRFYLIquwVznXcrRz8U49PfZpNW7XON+6hL4J2rVsl8JeDFPlGpUV2jtUob1DldIyRatGr9LTY5+WJLl4uCjk2RCFPBuioKeC9OFfPtTvWb/LrWr+Dyvd1/A+pf47VdcuX5OT8/VfAY/vOm51n+s8WEenD55Wzfo1C13v5e+lrBNZOnfynDy9r3/C7ujOo1bvB7hbmFcLYl6FPWNuRVkoleJ606ZN9fzzz2v69On5lrdt21Y///yzJk+erO7du2vdunVau3atPDw8brm91atX6/Dhw2rdurWqVq2qpKQk5ebmqlGjRnJ3d9fw4cMVFRWl3NxcPfbYYzp37pxSUlLk4eGhfv36Fdje77//rvHjx+upp55SrVq1dObMGb3//vs6ceKE/vKXv5TosbiXFTUOhg0bpoceekhjx45Vz549tW3bNr333nuaOXOmuY2fn582b96sXr16ydnZudBr4SckJCg0NFStW7cusO6hhx5SQkKCYmNjFR0dre7du6tevXr68ccftXPnTnXr1k2SNGTIEHXq1En+/v7KysrSxo0bFRAQUOjrGTRokFq3bq34+Hh16dJFycnJWrt2bbF3hv8jS8ZrZGSkpk6dqujoaA0YMEBpaWmaN2+exfsAbgd5LYi8whaR1YLIKuzVvv/uU/bZbD3S9xG5erjmW/dglwf1VeJXOpd5Tj7BPvJu7K1rl68p/b/p8vL3kiRtfH+jPLw9VKdpHZkcTPr6P1/Lw8tDrp6uBfbVvFtzrRm3RoujFqv9a+2V9WOWkt9LliSr8vZE9BOa3Xu2qtapqqCngmRyMOmnb39S5v5MdX6zs/zb+uu+Bvfp0799qqdin9KlC5eUND7pDo4SULqYVwtiXoU9Y25FWSjxy8LkiY2NNX/FIU9AQIBmzpyp999/X0FBQdqxY4f5Rhu3UqVKFS1fvlyPP/64AgICNGvWLC1cuFBNmjSRJI0dO1ajRo1SXFycAgIC1LFjR61Zs0b16tUrdHuOjo7av3+/unXrJn9/f3Xp0kW//PKLtmzZYt4mSkZh4yAkJERLlizRokWL9Kc//UmjR49WbGys+vfvn+95R48eVYMGDVSzZsG/3l25ckWJiYnmE46bdevWTR9//LEcHBz0yy+/6IUXXpC/v7969OihTp066a233pIk5eTk6NVXXzWPG39//3wnTH8UFhamWbNmKT4+XkFBQVq3bp2ioqLk4uJi1TEpbrzWrVtXy5Yt08qVKxUUFKRZs2ZpwoQJVu0DuB3ktSDyCltEVgsiq7BH2xO3q1GbRgV++ZekoC5B+mH3D3JwctDq2NWa3GqyZjw5QyZHk/olXP/wkEtlFyVPT9bU9lMV3z5ev/7wq15e/LIcHAr+iufi4aKBnw7Uib0nNKXNFCWNT1KHER0kyfxpO0sEtA/QwIUDdWDjAcWHx2vaE9O06YNNqlbn+idyHRwc9NInL+nqpauKD4/XotcW6c9v/vl2Dg9w1zCvFsS8CnvF3IqyYDJuvgh6IXbt2qXmzZsrLS1NISEhd6NfNmfBggXq06fPPX0MUNDAgQO1f/9+bdmypay7gv9DVlEU8mpbyCqKQlZtS15Wh20cJp8gn7LuDkpQ6r9TtfDvCxV3NE4VXSuWdXdwh1L/narEVxKZV1EA86rtYW4tv5hby5cfvv5BU9tNLXZu5cr4gBXefvttRUREyM3NTWvXrtX8+fOL/NQAgLJFXgH7QFaBu2PHoh2q4VdDnrU8deLbE/pszGcKfiaYX/6BcoZ5Fbh7mFshUVwHrLJjxw5NnjxZFy5cUP369TV9+nQNGDCgrLsFoBDkFbAPZBW4Oy6cvqC1cWt14fQFeXh5KPjpYHX+Z+ey7haAEsa8Ctw9zK2QKK4DVlmyZElZdwGAhcgrYB/IKnB3tB/cXu0Hty/rbgAoZcyrwN3D3AqpFG9oCgAAAAAAAABAeUVxHQAAAAAAAAAAK1FcBwAAAAAAAADAShTXAQAAAAAAAACwklU3NE1KSlJGRkZp9cWmpaSkSLq3jwFgD8gqYB/IKmAf8rKa/nm6Tn13qox7A6Aoh7cflsS8CtgD5lbAPvxy/BeL2pkMwzCKa7Rt2za1atVKOTk5d9wxe+bg4KDc3Nyy7gaAYpBVwD6QVcA+kFXAPpgcTDJyi/31HoANYG4F7IODo4O+3PKlWrZsWWQbiz657uzsrJycHCUmJiogIKDEOmhPkpKSNGrUqHv6GAD2gKwC9oGsAvaBrAL2IS+rfT7sIy9/r7LuDoBbSP88XWvHr2VuBWxcRkaG+vTpI2dn51u2s+qyMAEBAQoJCbmjjtmrvK/W3cvHALAHZBWwD2QVsA9kFbAPeVn18veST5BPGfcGwK3kXQqGuRUoH7ihKQAAAAAAAAAAVqK4DgAAAAAAAACAlSiuAwAAAAAAAABgJYrrQBE2bdokk8mks2fPlnVXbKovgC2ypYzYUl8AW2NL+bClvgC2xpbyYUt9AUrLkGpD9M2ab8q6G5Jsqy9AeWFLc5kt9aW8KJHiev/+/WUymTRx4sR8y1euXCmTyVQSuyhVkZGRMplMmjZtWll3xa6V5Djw8/Oz6v8jLi5Ojo6OmjJlilX7uZVHH31UmZmZ8vT0LLFtAraCvAL2gawC9oGsAveOIzuOKKpGlD7q+VGJbTM2I1aB4YEltj3A3jGvwp6U2CfXXVxcNGnSJGVlZZXUJiVJV65cKdHt3WzFihX66quvVLt27VLdz72itMZBcebMmaMRI0Zozpw5JbbNihUrytvb2y7+QATcDvIK2AeyCtgHsgrcG7Ynblerga10aNshncs8VyLb9PDykJOzU4lsCygvmFdhL0qsuB4eHi5vb2/FxcUV2WbMmDEKDg7Ot2zatGny8/MzP+7fv7+eeeYZjR8/XrVr11ajRo0kSTNnzlTDhg3l4uIiLy8vde/e3fyc3NxcxcXFqV69enJ1dVVQUJCWLl1abJ9PnDihQYMGacGCBapQoYJ1LxiFsmQcSNKyZcvUpEkTOTs7y8/PT1OnTjWva9u2rY4dO6aoqCiZTKZi33y++OILXbx4UbGxsTp//ry2bt2ab/3XX3+tdu3ayd3dXR4eHmrevLlSU1MlSceOHVOXLl1UtWpVubm5qUmTJkpKSpJU+FdlZs+eLR8fH1WqVEldu3ZVfHy8qlSpYl6fN8Y/+eQT+fn5ydPTU7169dKFCxfMbSwZr0lJSfL395erq6vatWuno0eP3vIYALeDvJJX2AeySlZhH8gqWUX5d/m3y9q9crfCXgpTYESgdizcYV6XfTZbn7z8id5s+Kaia0drXItx2r5guyTp2pVrWjpiqUYHjNbwWsP11oNvaf07683PvflSLEe2H9Hk1pM1vNZwTX18qr5Z842GVBuiH/f+KEk6+OVBDak2RN998Z2mPj5V0fdHa1qHaTp18FS+/u5N2qu3276t4bWGa2yzsVo3aZ1yruWY1/986GdN7zxdw2sNV9wjcTqw8UCpHDfgdjCvMq/aixIrrjs6OmrChAmaMWOGfvzxxzva1oYNG3TgwAGtX79eq1evVmpqqgYPHqzY2FgdOHBA69atU+vWrc3t4+Li9PHHH2vWrFnat2+foqKi1KdPH33xxRdF7iM3N1d9+/ZVdHS0mjRpckf9xQ2WjIO0tDT16NFDvXr10t69ezVmzBiNGjVK8+bNkyQtX75cderUUWxsrDIzM5WZmXnLfSYkJKh3796qUKGCevfurYSEhHzrn3/+edWpU0c7d+5UWlqa3njjDfMfU1599VVdvnxZmzdv1t69ezVp0iRVrly50P2kpKQoMjJSr732mvbs2aOIiAiNHz++QLtDhw5p5cqVWr16tVavXq0vvvgi31eZihuvP/zwg5599ll16dJFe/bs0YABA/TGG2/c8hgAt4O8klfYB7JKVmEfyCpZRfm3e+Vu3dfwPnk19FKLHi20fcF2GYYhSUqakKSTB07qlSWv6I2v3tBf3v6L3Kq7SZI2f7hZ3679Vv3m9NM/dvxDfT/qq2p1qxW6j0vnL2n2c7NVO7C2hm8crk4jO+mztz4rtO2acWv09NinNWzDMDk4OWjRoEXmdYe2HdKCvy5Q61da641tb6hHfA/tWLhD66deL+rn5uZqzgtz5FTRSVHro9QjvkeR+wHKAvMq86q9KNHvHXXt2lXBwcGKiYkpMACt4ebmpn/961+qWLGipOthcHNz05NPPil3d3f5+vqqWbNmkqTLly9rwoQJ+vzzz9WyZUtJUv369fXll1/qww8/VJs2bQrdx6RJk+Tk5KTBgwffdj9RuOLGQXx8vNq3b69Ro0ZJkvz9/ZWenq4pU6aof//+qlatmhwdHeXu7i5vb+9b7uv8+fNaunSptm3bJknq06ePWrVqpXfffdf8Jnb8+HF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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,0,0]) != (shifts[1,2,1])]\n",
      "Size of CL:  31\n",
      "Size of B:  10\n",
      "Number of Queries:  200\n",
      "Query200: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query201: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "adding the following constraints to C_L: [(shifts[1,1,0]) != (shifts[1,2,1])]\n",
      "Size of CL:  32\n",
      "Size of B:  9\n",
      "Number of Queries:  202\n",
      "Query202: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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FhYUwMTFRTiQS6QKzWjNNs/rdd99h5MiR+PLLL/Hiiy8qz4HNzc1hY2Ojs/Y88wTSSEFBgQBAKCgoaOym6LWRI0cKAAQAgpGRkWBvby8EBgYKixcvFqqqqlTKJicnC05OToK5ubnQp08fYfny5QIAoaKiQqXctm3bBADCmjVrNGrDvHnzhLZt2womJiaCr6+vsHfv3jrLz5w5U+jevbtgZ2cnmJmZCW5ubsLYsWOFy5cvK8u4uLgIX3zxhcp2crlciI2NFQRBEE6dOiUAEA4ePKhcb2NjIyxZskT5+vbt28LQoUOF5s2bCwBU1j1qzZo1glQqFUxMTARPT09h8+bNGr13EoS0tDRmVQPM6kHl+sfNavW+Hv3p2bOnRu//Wcesao55Pahc/7h5dXFxqTGv1XVR7ZhVzTV2Vrdv315jPx85cmSt23z77bdCr169BHt7e8HExERo27atMGrUKOH06dPKMj179hQ+/vhjle0GDRqksl8AwoYNG5Sv/57lahEREUKLFi3qzd727dsFb29vwcTERHBzc6vznJkeYlY1x6xuUL5+kqzW9B5cXFzqff/EvGqKWd2gfP24We3Zs6fW74Ee0nQuWCIIgvA4k/LPmgMHDqBLly4oKCiAj49PYzfnmbJixQpERUXhjz/+gImJSWM3h/TcypUrERoayqw2AmaVtMGsNi7mlTTFrDYuZpU0xaw2LmaVtMG8Nh5mlbSh6VwwbwtDequyshLl5eWYNWsWPvzwQ37wEekpZpVIPJhXInFgVonEgVklEgdmlRoSH2hKeisxMREdO3aEo6MjJk2a1NjNIaJaMKtE4sG8EokDs0okDswqkTgwq9SQOLlOeisuLg737t3Dtm3b+LAxIj3GrBKJB/NKJA7MKpE4MKtE4sCsUkPi5DoRERERERERERERkZY4uU5EREREREREREREpCVOrhMRERERERERERERaYmT60REREREREREREREWjLStGBZWRkuX77ckG3RayUlJQCAzMxM5b+JSP/k5OQAYFaJ9B2zSiQOzCqRODCrROLBvBKJw6lTpzQqJxEEQaivUFlZGWQyGSorK5+4YWImMZBAUNR7uIiokRkYGEChUDR2M4ioHswqkTgwq0TiwKwSiQfzSiQOhoaG2L17N7p3715rGY2+uX758mVUVlYiLS0NMplMZw0Uk8zMTEyePBmhC0PhIHVo7OYQUS2Kfy5G1oysZ/rzikgMqsdVZpVIvzGrROLArBKJB/NKJA4lJSUIDQ2FqalpneU0vi0MAMhkMvj4+DxRw8Sq+lIdB6kDnOXOjdwaIqrNhWMXADzbn1dEYlA9rjKrRPqNWSUSB2aVSDyYV6KmhQ80JSIiIiIiIiIiIiLSEifXiYiIiIiIiIiIiIi0xMl1IiIiIiIiIiIiIiItcXKdmrxIu0gc3ny4sZsBQL/aQtSU7NixAxKJBFevXm3spuhVW4j0jT7lQ5/aQqRv9Ckf+tQWIn2jT/nQp7YQ6Rt9yoc+taWp0Mnk+qhRoyCRSDBr1iyV5Rs3boREItFFFTq3fv16vPbaa2jRogUkEgkKCwsbu0kE4NS+U4hqGYVvh3+rs33Gl8TDI9BDZ/sjagp0+bnt6uqKlJQUjcsnJCTA0NAQc+bM0aqeurz88ssoLy+HjY2NzvZJpA+YVSJxYFaJxIFZJRIHZpXERGffXDczM8Ps2bNRUVGhq10CAO7evavT/VX766+/8Morr2D27NkNsn96PHlpeegxugdO5J7AtfJrOtmntYM1jEyNdLIvoqakoT6367N48WJMmDABixcv1tk+TUxM4OjoqLd/0CV6EswqkTgwq0TiwKwSiQOzSmKhs8n1wMBAODo6IiEhodYycXFx8Pb2VlmWkpICV1dX5etRo0Zh8ODBmDFjBlq3bg13d3cAwPz589GhQweYmZnBwcEBw4YNU26jUCiQkJCAdu3awdzcHHK5HGvXrq2zvWFhYZgyZQoCAwO1f7PUIO7cvIODGw/C730/eAR5YF/6PuW6yquVWPHBCnzW4TPEtI7B9K7TkbcyDwBw/+59rJ2wFlNkUxDtFI2pnaZi6xdblds+eiuWU3mnkOifiGinaCS9moTDmw8j0i4SZ4vOAgCO/3IckXaROLbzGJJeTULMczFI6ZOCC8cvqLS3KLMInwd8jminaEzrPA1bZm9B1f0q5fpLJy5hbv+5iHaKRsJLCSjdXtogx43ocWnyuQ0A69atg6enJ0xNTeHq6oqkpCTluoCAAJw5cwZRUVGQSCT1nizs3LkTt27dQnx8PK5fv449e/aorD906BB69eoFKysrWFtbo0uXLsjPzwcAnDlzBgMGDICtrS0sLCzg6emJzMxMADVf2rZo0SI4OzujWbNmGDJkCJKTk9G8eXPl+uoxacWKFXB1dYWNjQ1GjBiBGzduKMtoMr5kZmZCKpXC3NwcvXr1wunTp+s8BkTaYlaZVRIHZpVZJXFgVplVEgdmlVkVC51NrhsaGmLmzJmYN28ezp49+0T72rZtG0pLS7F161ZkZGQgPz8fY8eORXx8PEpLS7Flyxb4+/sryyckJGD58uVYsGABjhw5gqioKISGhmLnzp1P+rboKTq48SBadWgFhw4O6BrcFXkr8yAIAgAgc2Ymzpeex4drPsTEvRPx1udvwaKFBQBg18Jd+DXrV4xcPBKf7vsUYd+Gwa6tXY113L5+G4veXoTWHq0RvT0a/Sb1ww9Tf6ix7ObpmzFo2iCM3zYeBkYGWDVmlXLdidwTWPnPlfD/0B8TcyciODkY+9L3YWvSg0l9hUKBxe8uhpGJEaK2RiE4ObjWeogaiyaf2wUFBQgODsaIESNQVFSEuLg4TJ48GUuXLgXw4BZbbdq0QXx8PMrLy1FeXl5nnampqQgJCYGxsTFCQkKQmpqqsv6dd95BmzZtsH//fhQUFGDixIkwNjYGAHz00Ue4c+cOdu3ahaKiIsyePRuWlpY11pOTk4OIiAh8/PHHKCwsRFBQEGbMmKFW7sSJE9i4cSMyMjKQkZGBnTt3qlx6WN/48vvvv+PNN9/EgAEDUFhYiPDwcEycOLHOY0CkLWaVWSVxYFaZVRIHZpVZJXFgVplVsdDpvTKGDBkCb29vxMbGqnVAbVhYWOC///0vTExMADwIg4WFBd544w1YWVnBxcUFnTt3BgDcuXMHM2fOxM8//4zu3bsDANzc3PDLL79g4cKF6Nmz55O/MXoq8tLy0PWtrgCAjr074tb1W/gt5zd0eKUDKs5W4Dmv59C2c1sAQIu2LZTbVZyrgH17e7i95AaJRAI755on1gGgYF0BJBIJhqcMh7GZMRw7OuJa+TWsjlytVrb/f/rjeb/nAQCBkYH4dvi3uHf7HozNjPFj4o/oHdkbviG+AICWri3x+qevY1PcJvT9pC+O7TiGC8cvIGJtBGycbJT7Wxi8UDcHi0hH6vvcTk5ORu/evTF58mQAgFQqRXFxMebMmYNRo0bBzs4OhoaGsLKygqOjY511Xb9+HWvXrkVubi4AIDQ0FD169MCXX36pPOkoKytDTEwMOnbsCADo0KGDcvuysjIMHToUXl5eAB581tdm3rx56NevH6Kjo5Xt3rNnDzIyMlTKKRQKLF26FFZWVgAeXNW0bds2zJgxQ6Px5ZtvvkH79u2V345wd3dXnkgR6RKzyqySODCrzCqJA7PKrJI4MKvMqhjo7Jvr1WbPno1ly5ahpKTksffh5eWlnFgHgKCgILi4uMDNzQ1hYWFYuXIlKisrAQC//fYbKisrERQUBEtLS+XP8uXLceLEiSd+P/R0XDh+AWcOnIHPUB8AgKGRIToP6Yy8tAe3fvF7zw8HNxxEon8iNsVuwqm8U8ptfUN8ca7oHGb6zsS6ietwNPtorfVcPH4RrT1bw9jMWLnMpYtLjWVbe7ZW/tvawRoAcPPyTQDAuV/P4ac5P2GC8wTlz+rI1bh+/jruVt7FhWMXYPucrXJiHQBcfV21PCpET0ddn9slJSXw8/NTWebn54fjx4+jqqpKrXxd0tPT0b59e8jlcgCAt7c3XFxcsHr1wz9ujRs3DuHh4QgMDMSsWbNUPsfHjh2L6dOnw8/PD7GxsTh8+LBaHdVKS0vh6+ursuzR18CDh9tUn6gAgJOTEy5evAhAs/GlpKQEL774oso+q09siHSNWWVWSRyYVWaVxIFZZVZJHJhVZlXf6Xxy3d/fH3369MGkSZPUKzMwUN7mo9q9e/fUyllYWKi8trKywoEDB5Ceng4nJydMmTIFcrkcV69exc2bDyY7N2/ejMLCQuVPcXFxvfddJ/2Rl5YHxX0FYj1iMc5+HMbZj0PO4hwc+uEQbl2/BY8gD8QeikXAPwNw7fw1zB8yH/+b/D8AgLPcGVMOTkG/Sf1w79Y9LH1/KZaMXPLEbTIw/ls8/v+2XAqFAgBw96+76DuxL2J2xih/JvwyAZ/lfwYjMz48lcSlrs9tXUpNTcWRI0dgZGSk/CkuLlZ5UExcXByOHDmC/v37Izs7Gx4eHtiwYQMAIDw8HCdPnkRYWBiKiorQtWtXzJs374naVH0JXzWJRKLMOccX0jfM6kPMKukzZvUhZpX0GbP6ELNK+oxZfYhZ1U8NMgs4a9YseHt7Kx9GWs3e3h7nz5+HIAjKhwgUFhZqtE8jIyMEBgYiMDAQsbGxaN68ObKzsxEUFARTU1OUlZXxFjAiVXW/CvtX78egaYPQsVdHlXWpYak4sO4A/N7zg2VLS/iG+MI3xBc53XOwacomDJo2CABgZm0Gnzd94POmD+QD5Vj41kL8VfEXLGxV/1DTqkMr5H+fj/t37sPI9EH3LztQpnWb23Rqg4vHL8Lezb7G9Q5SB1Scq8C189dg4/jg2+un95/Wuh6ip6W2z22ZTIacnByVZTk5OZBKpTA0NATw4Mnn9X0roKioCPn5+dixYwfs7B7euunPP/9EQEAAjh49qry0TiqVQiqVIioqCiEhIViyZAmGDBkCAHB2dkZERAQiIiIwadIkLFq0CGPGjFGrz93dHfv371dZ9ujr+nh4eNQ7vshkMmzatEll2d69e7Wqh0gbzKo6ZpX0EbOqjlklfcSsqmNWSR8xq+qYVf3RIJPrXl5eeOeddzB37lyV5QEBAbh06RISExMxbNgwbNmyBVlZWbC2tq5zfxkZGTh58iT8/f1ha2uLzMxMKBQKuLu7w8rKCtHR0YiKioJCocArr7yCa9euIScnB9bW1hg5cmSN+/zzzz9RVlaGP/74A8CDSzIAwNHRsd77MJFuHfnxCCqvVuKlsJdgbm2usq7TgE7Ym7YX18qvwdnbGY4dHXH/zn0U/1gMB6kDAGD719th7WiNNl5tIDGQ4ND/DsHawRrmNuZqdXUZ2gWbp2/G6qjV6P1xb1ScrUD2V9kAUO9To//utZjXsChkEWzb2EI+UA6JgQR//PoHyo+Wo/9n/SENkKJV+1b47l/fYWD8QNy+cRuZMzKf4CgRNazaPrfHjx+Pbt26Ydq0aRg+fDhyc3Px1VdfYf78+coyrq6u2LVrF0aMGAFTU1O0bNlSbf+pqanw9fVVeRh1tW7duiE1NRXx8fGIiYnBsGHD0K5dO5w9exb79+/H0KFDAQCRkZHo168fpFIpKioqsH37dshkshrfz5gxY+Dv74/k5GQMGDAA2dnZyMrK0irnmowvERERSEpKQkxMDMLDw1FQUKB8eA5RQ2BW1TGrpI+YVXXMKukjZlUds0r6iFlVx6zqD53fFqZafHy88lKFajKZDPPnz8fXX38NuVyOffv2KW/eX5fmzZtj/fr1ePXVVyGTybBgwQKkp6fD09MTADBt2jRMnjwZCQkJkMlk6Nu3LzZv3ox27drVus9Nmzahc+fO6N+/PwBgxIgR6Ny5MxYsWPAE75oeR15aHtx7uqtNrAOAfIAcvx/8HQZGBsiIz0Bij0TMe2MeJIYSjEx98IcTM0szZM/NRlLvJCT3Tsafv/+JD1Z/AAMD9e5tZm2G0d+Nxrmic5jTcw4yZ2Siz4Q+AKD8JrsmZL1lGJ0+GqXbS5EcmIyU11Kw45sdsGvz4C+cBgYGeH/F+7h3+x6SA5Ox6uNVeP2z1x/n8BA9NTV9bvv4+GDNmjVYtWoVXnjhBUyZMgXx8fEYNWqUynanT59G+/btYW+vfjXH3bt3kZaWpjzpeNTQoUOxfPlyGBgY4MqVK3j33XchlUoRHByMfv36YerUqQCAqqoqfPTRR8rPealUqnLS9Hd+fn5YsGABkpOTIZfLsWXLFkRFRcHMzEyrY1Lf+NK2bVusW7cOGzduhFwux4IFCzBz5kyt6iDSFrOqjlklfcSsqmNWSR8xq+qYVdJHzKo6ZlU/SIRHb4JegwMHDqBLly4oKCiAj4/P02iX3lm5ciVCQ0Mxfvt4OMudG7s5pEP53+cj/d/pSDidABNzk/o3IL2W/30+0j5Me6Y/r6hmo0ePxtGjR7F79+7Gbgrh4bjKrNKjmFX9wqxSbZhV/cKsUm2YVf3DvFJNmFX9o+l8OJ+8SM+cfav2oaVrS9g42eDcr+fwQ9wP8B7szYl1oibm888/R1BQECwsLJCVlYVly5bV+s0BImo8zCqRODCrROLArBKJA7PadHBynZ45Ny7eQFZCFm5cvAFrB2t4D/JG///0b+xmEZGO7du3D4mJibhx4wbc3Nwwd+5chIeHN3aziOgRzCqRODCrROLArBKJA7PadHBynZ45vcf2Ru+xvRu7GUTUwNasWdPYTSAiDTCrROLArBKJA7NKJA7MatPRYA80JSIiIiIiIiIiIiJqqji5TkRERERERERERESkJU6uExERERERERERERFpiZPrRERERERERERERERa0uqBppmZmSgpKWmotui1nJwcAEDxz8W4cOxCI7eGiGpzMu8kgGf784pIDKrHVWaVSL8xq0TiwKwSiQfzSiQOp06d0qicRBAEob5Cubm56NGjB6qqqp64YWJmYGAAhULR2M0gonpIDCQQFPV+tBFRI+O4SiQOzCqRODCrROLBvBKJg6GhIXbv3o3u3bvXWkajb66bmpqiqqoKaWlpkMlkOmugmGRmZmLy5MnP9DEgEoPqrIYuDIWD1KGxm0NEtSj+uRhZM7I4rhLpOZ4DE4kDs0okHswrkTiUlJQgNDQUpqamdZbT6rYwMpkMPj4+T9Qwsaq+VOdZPgZEYlCdVQepA5zlzo3cGiKqTfUt1jiuEuk3ngMTiQOzSiQezCtR08IHmhIRERERERERERERaYmT60REREREREREREREWuLkOlEtduzYAYlEgqtXrzZ2U/SqLUQNJdIuEoc3H27sZgDQr7YQNSX6NJ7pU1uI9I0+5UOf2kKkb/QpH/rUFiJ9o0/50Ke2NBU6mVwfNWoUJBIJZs2apbJ848aNkEgkuqhCp+7du4dPPvkEXl5esLCwQOvWrfHuu+/ijz/+aOymiZou+4GrqytSUlI0Lp+QkABDQ0PMmTNHq3rq8vLLL6O8vBw2NjY62ydRU3Fq3ylEtYzCt8O/1dk+40vi4RHoobP9ETUFHFuJxIFZJRIHZpVIHJhVEhOdfXPdzMwMs2fPRkVFha52CQC4e/euTvcHAJWVlThw4AAmT56MAwcOYP369SgtLcXAgQN1XtezpqH6QX0WL16MCRMmYPHixTrbp4mJCRwdHfXyD0REjS0vLQ89RvfAidwTuFZ+TSf7tHawhpGpVs/ZJnomcGwlEgdmlUgcmFUicWBWSSx0NrkeGBgIR0dHJCQk1FomLi4O3t7eKstSUlLg6uqqfD1q1CgMHjwYM2bMQOvWreHu7g4AmD9/Pjp06AAzMzM4ODhg2LBhym0UCgUSEhLQrl07mJubQy6XY+3atbW2w8bGBlu3bkVwcDDc3d3x0ksv4auvvkJBQQHKysoe7wAQAM36AQCsW7cOnp6eMDU1haurK5KSkpTrAgICcObMGURFRUEikdT74bNz507cunUL8fHxuH79Ovbs2aOy/tChQ+jVqxesrKxgbW2NLl26ID8/HwBw5swZDBgwALa2trCwsICnpycyMzMB1HypzKJFi+Ds7IxmzZphyJAhSE5ORvPmzZXrq/v4ihUr4OrqChsbG4wYMQI3btxQltGkv2ZmZkIqlcLc3By9evXC6dOn6zwGRE/TnZt3cHDjQfi97wePIA/sS9+nXFd5tRIrPliBzzp8hpjWMZjedTryVuYBAO7fvY+1E9ZiimwKop2iMbXTVGz9Yqty20dvxXIq7xQS/RMR7RSNpFeTcHjzYUTaReJs0VkAwPFfjiPSLhLHdh5D0qtJiHkuBil9UnDh+AWV9hZlFuHzgM8R7RSNaZ2nYcvsLai6X6Vcf+nEJcztPxfRTtFIeCkBpdtLG+S4ET0ujq0cW0kcmFVmlcSBWWVWSRyYVWZVLHQ2uW5oaIiZM2di3rx5OHv27BPta9u2bSgtLcXWrVuRkZGB/Px8jB07FvHx8SgtLcWWLVvg7++vLJ+QkIDly5djwYIFOHLkCKKiohAaGoqdO3dqXOe1a9cgkUhUOjJpT5N+UFBQgODgYIwYMQJFRUWIi4vD5MmTsXTpUgDA+vXr0aZNG8THx6O8vBzl5eV11pmamoqQkBAYGxsjJCQEqampKuvfeecdtGnTBvv370dBQQEmTpwIY2NjAMBHH32EO3fuYNeuXSgqKsLs2bNhaWlZYz05OTmIiIjAxx9/jMLCQgQFBWHGjBlq5U6cOIGNGzciIyMDGRkZ2Llzp8qlTPX1199//x1vvvkmBgwYgMLCQoSHh2PixIl1HgOip+ngxoNo1aEVHDo4oGtwV+StzIMgCACAzJmZOF96Hh+u+RAT907EW5+/BYsWFgCAXQt34desXzFy8Uh8uu9ThH0bBru2djXWcfv6bSx6exFae7RG9PZo9JvUDz9M/aHGspunb8agaYMwftt4GBgZYNWYVcp1J3JPYOU/V8L/Q39MzJ2I4ORg7Evfh61JDyb1FQoFFr+7GEYmRojaGoXg5OBa6yFqLBxbObaSODCrzCqJA7PKrJI4MKvMqljo9Pr7IUOGwNvbG7GxsWodUBsWFhb473//CxMTEwAPwmBhYYE33ngDVlZWcHFxQefOnQEAd+7cwcyZM/Hzzz+je/fuAAA3Nzf88ssvWLhwIXr27Flvfbdv38Ynn3yCkJAQWFtbP3a76YH6+kFycjJ69+6NyZMnAwCkUimKi4sxZ84cjBo1CnZ2djA0NISVlRUcHR3rrOv69etYu3YtcnNzAQChoaHo0aMHvvzyS+WHWFlZGWJiYtCxY0cAQIcOHZTbl5WVYejQofDy8gLwoO/UZt68eejXrx+io6OV7d6zZw8yMjJUyikUCixduhRWVlYAgLCwMGzbtg0zZszQqL9+8803aN++vfKvre7u7soPZiJ9kJeWh65vdQUAdOzdEbeu38JvOb+hwysdUHG2As95PYe2ndsCAFq0baHcruJcBezb28PtJTdIJBLYOdc8sQ4ABesKIJFIMDxlOIzNjOHY0RHXyq9hdeRqtbL9/9Mfz/s9DwAIjAzEt8O/xb3b92BsZowfE39E78je8A3xBQC0dG2J1z99HZviNqHvJ31xbMcxXDh+ARFrI2DjZKPc38Lghbo5WEQ6wrGVYyuJA7PKrJI4MKvMKokDs8qsioHOvrlebfbs2Vi2bBlKSkoeex9eXl7KiXUACAoKgouLC9zc3BAWFoaVK1eisrISAPDbb7+hsrISQUFBsLS0VP4sX74cJ06cqLeue/fuITg4GIIg4JtvvnnsNpOquvpBSUkJ/Pz8VJb5+fnh+PHjqKqqUitfl/T0dLRv3x5yuRwA4O3tDRcXF6xe/XACbty4cQgPD0dgYCBmzZql0i/Gjh2L6dOnw8/PD7GxsTh8+LBaHdVKS0vh6+ursuzR18CDh2VUf/ABgJOTEy5evAhAs/5aUlKCF198UWWf1R+URI3twvELOHPgDHyG+gAADI0M0XlIZ+SlPbj1i997fji44SAS/ROxKXYTTuWdUm7rG+KLc0XnMNN3JtZNXIej2Udrrefi8Yto7dkaxmbGymUuXVxqLNvas7Xy39YOD/5AevPyTQDAuV/P4ac5P2GC8wTlz+rI1bh+/jruVt7FhWMXYPucrXJiHQBcfV21PCpETwfHVo6tJA7MKrNK4sCsMqskDswqs6rvdD657u/vjz59+mDSpEnqlRkYKG8dUO3evXtq5SwsLFReW1lZ4cCBA0hPT4eTkxOmTJkCuVyOq1ev4ubNBxMomzdvRmFhofKnuLi4zvuuV9cdHByMM2fOYOvWrfzWug7V1Q90KTU1FUeOHIGRkZHyp7i4WOXBE3FxcThy5Aj69++P7OxseHh4YMOGDQCA8PBwnDx5EmFhYSgqKkLXrl0xb968J2pT9SVB1SQSCRQKBQA8UX8l0gd5aXlQ3Fcg1iMW4+zHYZz9OOQszsGhHw7h1vVb8AjyQOyhWAT8MwDXzl/D/CHz8b/J/wMAOMudMeXgFPSb1A/3bt3D0veXYsnIJU/cJgPjvw1l/38LverM3f3rLvpO7IuYnTHKnwm/TMBn+Z/ByIwPTyVx4dj6EMdW0mfM6kPMKukzZvUhZpX0GbP6ELOqnxpkZmHWrFnw9vZWPoy0mr29Pc6fPw9BEJQPESgsLNRon0ZGRggMDERgYCBiY2PRvHlzZGdnIygoCKampigrK9PoFjDVqifWjx8/ju3bt6NFixb1b0Raqa0fyGQy5OTkqCzLycmBVCqFoaEhgAdPUq7vr4xFRUXIz8/Hjh07YGf38PYSf/75JwICAnD06FHlpTpSqRRSqRRRUVEICQnBkiVLMGTIEACAs7MzIiIiEBERgUmTJmHRokUYM2aMWn3u7u7Yv3+/yrJHX9fHw8Oj3v4qk8mwadMmlWV79+7Vqh6ihlB1vwr7V+/HoGmD0LFXR5V1qWGpOLDuAPze84NlS0v4hvjCN8QXOd1zsGnKJgyaNggAYGZtBp83feDzpg/kA+VY+NZC/FXxFyxsVf+o2qpDK+R/n4/7d+7DyPTBUFV2QPsHTrfp1AYXj1+EvZt9jesdpA6oOFeBa+evwcbxwbfXT+8/rXU9RE8Lx1Z1HFtJHzGr6phV0kfMqjpmlfQRs6qOWdUfDTK57uXlhXfeeQdz585VWR4QEIBLly4hMTERw4YNw5YtW5CVlVXvN8YzMjJw8uRJ+Pv7w9bWFpmZmVAoFHB3d4eVlRWio6MRFRUFhUKBV155BdeuXUNOTg6sra0xcuRItf3du3cPw4YNw4EDB5CRkYGqqiqcP38eAGBnZ6dySxp6fLX1g/Hjx6Nbt26YNm0ahg8fjtzcXHz11VeYP3++soyrqyt27dqFESNGwNTUFC1btlTbf2pqKnx9fVUeblutW7duSE1NRXx8PGJiYjBs2DC0a9cOZ8+exf79+zF06FAAQGRkJPr16wepVIqKigps374dMpmsxvczZswY+Pv7Izk5GQMGDEB2djaysrLqfdr032nSXyMiIpCUlISYmBiEh4ejoKBA+TAOosZ05McjqLxaiZfCXoK5tbnKuk4DOmFv2l5cK78GZ29nOHZ0xP0791H8YzEcpA4AgO1fb4e1ozXaeLWBxECCQ/87BGsHa5jbmKvV1WVoF2yevhmro1aj98e9UXG2AtlfZQOAVpl7LeY1LApZBNs2tpAPlENiIMEfv/6B8qPl6P9Zf0gDpGjVvhW++9d3GBg/ELdv3EbmjMwnOEpEDYtjqzqOraSPmFV1zCrpI2ZVHbNK+ohZVces6g+d3xamWnx8vPJShWoymQzz58/H119/Dblcjn379ilv3l+X5s2bY/369Xj11Vchk8mwYMECpKenw9PTEwAwbdo0TJ48GQkJCZDJZOjbty82b96Mdu3a1bi/c+fOYdOmTTh79iy8vb3h5OSk/NmzZ8+Tv3lSqqkf+Pj4YM2aNVi1ahVeeOEFTJkyBfHx8Rg1apTKdqdPn0b79u1hb6/+jdO7d+8iLS1N+SH2qKFDh2L58uUwMDDAlStX8O6770IqlSI4OBj9+vXD1KlTAQBVVVX46KOPlP1GKpWqfAj/nZ+fHxYsWIDk5GTI5XJs2bIFUVFRMDMz0+qY1Ndf27Zti3Xr1mHjxo2Qy+VYsGABZs6cqVUdRA0hLy0P7j3d1SbWAUA+QI7fD/4OAyMDZMRnILFHIua9MQ8SQwlGpj74I6eZpRmy52YjqXcSknsn48/f/8QHqz+AgYH6UGRmbYbR343GuaJzmNNzDjJnZKLPhD4AoPwmuyZkvWUYnT4apdtLkRyYjJTXUrDjmx2wa/Pg2wgGBgZ4f8X7uHf7HpIDk7Hq41V4/bPXH+fwED01HFvVcWwlfcSsqmNWSR8xq+qYVdJHzKo6ZlU/SIRHb4JegwMHDqBLly4oKCiAj4/P02iX3lm5ciVCQ0Of6WNA6kaPHo2jR49i9+7djd0U+n/VWR2/fTyc5c6N3RzSofzv85H+73QknE6AiTmvMBK7/O/zkfZhGsdVUsOxVb/wHJhqw6zqF2aVasOs6h/mlWrCrOofTefD+TQ3Ii18/vnnCAoKgoWFBbKysrBs2bJa/xJJRE9m36p9aOnaEjZONjj36zn8EPcDvAd7c2KdqInh2EokDswqkTgwq0TiwKw2HZxcJ9LCvn37kJiYiBs3bsDNzQ1z585FeHh4YzeLqEm6cfEGshKycOPiDVg7WMN7kDf6/6d/YzeLiHSMYyuRODCrROLArBKJA7PadHBynUgLa9asaewmED0zeo/tjd5jezd2M4iogXFsJRIHZpVIHJhVInFgVpuOBnugKRERERERERERERFRU8XJdSIiIiIiIiIiIiIiLXFynYiIiIiIiIiIiIhIS5xcJyIiIiIiIiIiIiLSklYPNM3MzERJSUlDtUWv5eTkAHi2jwGRGFRntfjnYlw4dqGRW0NEtTmZdxIAx1UifcdzYCJxYFaJxIN5JRKHU6dOaVROIgiCUF+h3Nxc9OjRA1VVVU/cMDEzMDCAQqFo7GYQUT2YVSJxYFaJxIFZJRIHZpVIPJhXInEwNDTE7t270b1791rLaPTNdVNTU1RVVSEtLQ0ymUxnDRSTzMxMTJ48+Zk+BkRiwKwSiQOzSiQOzCqRODCrROLBvBKJQ0lJCUJDQ2FqalpnOa1uCyOTyeDj4/NEDROr6kt1nuVjQCQGzCqRODCrROLArBKJA7NKJB7MK1HTwgeaEhERERERERERERFpiZPrRERERERERERERERa4uQ6EREREREREREREZGWOLlOVIsdO3ZAIpHg6tWrjd0UvWoLkT7Sp4zoU1uI9I0+5UOf2kKkb/QpH/rUFiJ9o0/50Ke2EOkbfcqHPrWlqdDJ5PqoUaMgkUgwa9YsleUbN26ERCLRRRU6FxcXh44dO8LCwgK2trYIDAxEXl5eYzdL1HTZD1xdXZGSkqJx+YSEBBgaGmLOnDla1VOXl19+GeXl5bCxsdHZPon0BfNKJA7MKpE4MKtE4sCsEokDs0piorNvrpuZmWH27NmoqKjQ1S4BAHfv3tXp/qpJpVJ89dVXKCoqwi+//AJXV1e89tpruHTpUoPU96xoqH5Qn8WLF2PChAlYvHixzvZpYmICR0dHvf0DEdGTYl6JxIFZJRIHZpVIHJhVInFgVkksdDa5HhgYCEdHRyQkJNRaJi4uDt7e3irLUlJS4Orqqnw9atQoDB48GDNmzEDr1q3h7u4OAJg/fz46dOgAMzMzODg4YNiwYcptFAoFEhIS0K5dO5ibm0Mul2Pt2rV1tvftt99GYGAg3Nzc4OnpieTkZFy/fh2HDx/W/s2Tkib9AADWrVsHT09PmJqawtXVFUlJScp1AQEBOHPmDKKioiCRSOr98Nm5cydu3bqF+Ph4XL9+HXv27FFZf+jQIfTq1QtWVlawtrZGly5dkJ+fDwA4c+YMBgwYAFtbW1hYWMDT0xOZmZkAar5UZtGiRXB2dkazZs0wZMgQJCcno3nz5sr11X18xYoVcHV1hY2NDUaMGIEbN24oy2jSXzMzMyGVSmFubo5evXrh9OnTdR4DosfBvDKvJA7MKrNK4sCsMqskDswqs0riwKwyq6IhaKCgoEAAIBQUFNS4fuTIkcKgQYOE9evXC2ZmZsLvv/8uCIIgbNiwQfh7FbGxsYJcLlfZ9osvvhBcXFxU9mVpaSmEhYUJv/76q/Drr78K+/fvFwwNDYXvvvtOOH36tHDgwAHhyy+/VG4zffp0oWPHjsKWLVuEEydOCEuWLBFMTU2FHTt2aPL2hDt37ghz5swRbGxshEuXLtVYJi0trc5jQJr3g/z8fMHAwECIj48XSktLhSVLlgjm5ubCkiVLBEEQhCtXrght2rQR4uPjhfLycqG8vLzOesPCwoTo6GhBEARh/Pjxwvvvv6+y3tPTUwgNDRVKSkqEY8eOCWvWrBEKCwsFQRCE/v37C0FBQcLhw4eFEydOCD/88IOwc+dOQRAEYfv27QIAoaKiQhAEQfjll18EAwMDYc6cOUJpaanw9ddfC3Z2doKNjY2yrtjYWMHS0lJ48803haKiImHXrl2Co6Oj8OmnnyrL1Ndfy8rKBFNTU2HcuHHC0aNHhbS0NMHBwUGlLVQ7ZlUzzCvz2tiYVc0wq8xqY2NWNcOsMquNjVnVDLPKrOoD5rV+zCqzqg/qmw+vptPJdUEQhJdeeknZ+R53ct3BwUG4c+eOctm6desEa2tr4fr162p13759W2jWrJmwZ88eleX/+Mc/hJCQkDrf1w8//CBYWFgIEolEaN26tbBv375ay/LDr36a9oO3335bCAoKUtk2JiZG8PDwUL52cXERvvjii3rrvHbtmmBubq78MDt48KBgaWkp3LhxQ1nGyspKWLp0aY3be3l5CXFxcTWue/TDb/jw4UL//v1VyrzzzjtqH37NmjVT6asxMTHCiy++KAiCZv110qRJKsdCEAThk08+4YefhphVzTCvzGtjY1Y1w6wyq42NWdUMs8qsNjZmVTPMKrOqD5jX+jGrzKo+0HRyXWe3hak2e/ZsLFu2DCUlJY+9Dy8vL5iYmChfBwUFwcXFBW5ubggLC8PKlStRWVkJAPjtt99QWVmJoKAgWFpaKn+WL1+OEydO1FlPr169UFhYiD179qBv374IDg7GxYsXH7vd9FBd/aCkpAR+fn4qy/z8/HD8+HFUVVVpVU96ejrat28PuVwOAPD29oaLiwtWr16tLDNu3DiEh4cjMDAQs2bNUukXY8eOxfTp0+Hn54fY2Ng6bwtUWloKX19flWWPvgYePCzDyspK+drJyUnZrzTpryUlJXjxxRdV9tm9e3dNDwmR1phX5pXEgVllVkkcmFVmlcSBWWVWSRyYVWZV3+l8ct3f3x99+vTBpEmT1CszMIAgCCrL7t27p1bOwsJC5bWVlRUOHDiA9PR0ODk5YcqUKZDL5bh69Spu3rwJANi8eTMKCwuVP8XFxfXed93CwgLPP/88XnrpJaSmpsLIyAipqanavmWqQV39QJdSU1Nx5MgRGBkZKX+Ki4tVHjwRFxeHI0eOoH///sjOzoaHhwc2bNgAAAgPD8fJkycRFhaGoqIidO3aFfPmzXuiNhkbG6u8lkgkUCgUAPBE/ZWooTCvDzGvpM+Y1YeYVdJnzOpDzCrpM2b1IWaV9Bmz+hCzqp+MGmKns2bNgre3t/JhpNXs7e1x/vx5CIKgfIhAYWGhRvs0MjJCYGAgAgMDERsbi+bNmyM7OxtBQUEwNTVFWVkZevbs+UTtVigUuHPnzhPtgx6qrR/IZDLk5OSoLMvJyYFUKoWhoSGAB09Sru+vjEVFRcjPz8eOHTtgZ2enXP7nn38iICAAR48eRceOHQEAUqkUUqkUUVFRCAkJwZIlSzBkyBAAgLOzMyIiIhAREYFJkyZh0aJFGDNmjFp97u7u2L9/v8qyR1/Xx8PDo97+KpPJsGnTJpVle/fu1aoeIm0xr+qYV9JHzKo6ZpX0EbOqjlklfcSsqmNWSR8xq+qYVf3RIJPrXl5eeOeddzB37lyV5QEBAbh06RISExMxbNgwbNmyBVlZWbC2tq5zfxkZGTh58iT8/f1ha2uLzMxMKBQKuLu7w8rKCtHR0YiKioJCocArr7yCa9euIScnB9bW1hg5cqTa/v766y/MmDEDAwcOhJOTEy5fvoyvv/4a586dw1tvvaXTY/Esq60fjB8/Ht26dcO0adMwfPhw5Obm4quvvsL8+fOVZVxdXbFr1y6MGDECpqamaNmypdr+U1NT4evrC39/f7V13bp1Q2pqKuLj4xETE4Nhw4ahXbt2OHv2LPbv34+hQ4cCACIjI9GvXz9IpVJUVFRg+/btkMlkNb6fMWPGwN/fH8nJyRgwYACys7ORlZVV79Om/06T/hoREYGkpCTExMQgPDwcBQUFWLp0qcZ1ED0O5lUd80r6iFlVx6ySPmJW1TGrpI+YVXXMKukjZlUds6pHdHED978/aKDaqVOnBBMTE+HRKr755hvB2dlZsLCwEN59911hxowZag80fXRfu3fvFnr27CnY2toK5ubmQqdOnYTVq1cr1ysUCiElJUVwd3cXjI2NBXt7e6FPnz7Kp/I+6tatW8KQIUOE1q1bCyYmJoKTk5MwcOBAPtD0CWnTD9auXSt4eHgIxsbGQtu2bYU5c+aorM/NzRU6deokmJqaqm0rCIJw584doUWLFkJiYmKNbZk9e7bQqlUr4fbt28KIESMEZ2dnwcTERGjdurXw73//W7h165YgCILw73//W2jfvr1gamoq2NvbC2FhYcLly5cFQVB/4IQgCMK3334rPPfcc4K5ubkwePBgYfr06YKjo6NyvSYP7dWkv/7www/C888/L5iamgo9evQQFi9ezAdOaIhZ1Qzzyrw2NmZVM8wqs9rYmFXNMKvMamNjVjXDrDKr+oB5rR+zyqzqA00faCoRhEdugl6DAwcOoEuXLigoKICPj48OpvTFZ+XKlQgNDX2mjwGpGz16NI4ePYrdu3c3dlPo/zGrVBvmVb8wq1QbZlW/MKtUG2ZVvzCrVBtmVf8wr1QTZlX/aDof3iC3hSFqqj7//HMEBQXBwsICWVlZWLZsmcrlRkSkP5hXInFgVonEgVklEgdmlUgcmNWmg5PrRFrYt28fEhMTcePGDbi5uWHu3LkIDw9v7GYRUQ2YVyJxYFaJxIFZJRIHZpVIHJjVpoOT60RaWLNmTWM3gYg0xLwSiQOzSiQOzCqRODCrROLArDYdBo3dACIiIiIiIiIiIiIiseHkOhERERERERERERGRlji5TkRERERERERERESkJa3uuZ6ZmYmSkpKGaotey8nJAfBsHwMiMWBWicSBWSUSB2aVSByYVSLxYF6JxOHUqVMalZMIgiDUVyg3Nxc9evRAVVXVEzdMzAwMDKBQKBq7GURUD4mBBIKi3o82ImpkHFeJxIFZJRIHngMTiQfzSiQOEgMJcn7JQffu3Wsto9E3101NTVFVVYW0tDTIZDKdNVBMMjMzMXny5Gf6GBCJQXVWQxeGwkHq0NjNIaJaFP9cjKwZWRxXifQcz4GJxIHnwETiUX0ezLwS6bcLxy4g7cM0mJqa1llOq9vCyGQy+Pj4PFHDxKr6Up1n+RgQiUF1Vh2kDnCWOzdya4ioNheOXQDAcZVI3/EcmEgceA5MJB7V58HMK1HTwAeaEhERERERERERERFpiZPrRERERERERERERERa4uQ6EREREREREREREZGWOLlOVIsdO3ZAIpHg6tWrjd0UvWoLUUOJtIvE4c2HG7sZAPSrLURNiT6NZ/rUFiJ9o0/50Ke2EDUUfTr31Ke2EOkbfcqHPrXlWaeTyfVRo0ZBIpFg1qxZKss3btwIiUSiiyoaVEREBCQSCVJSUhq7KaKmy37g6uqq1f9HQkICDA0NMWfOHK3qqcvLL7+M8vJy2NjY6GyfRE3FqX2nENUyCt8O/1Zn+4wviYdHoIfO9kfUFHBsJRIHZpXo2cHzYCJxYFbpadHZN9fNzMwwe/ZsVFRU6GqXAIC7d+/qdH+P2rBhA/bu3YvWrVs3aD3PiobqB/VZvHgxJkyYgMWLF+tsnyYmJnB0dBTFH4iInra8tDz0GN0DJ3JP4Fr5NZ3s09rBGkamRjrZF1FTwrGVSByYVaJnA8+DicSBWaWnRWeT64GBgXB0dERCQkKtZeLi4uDt7a2yLCUlBa6ursrXo0aNwuDBgzFjxgy0bt0a7u7uAID58+ejQ4cOMDMzg4ODA4YNG6bcRqFQICEhAe3atYO5uTnkcjnWrl1bb5vPnTuHMWPGYOXKlTA2NtbuDVONNOkHALBu3Tp4enrC1NQUrq6uSEpKUq4LCAjAmTNnEBUVBYlEUu9J/c6dO3Hr1i3Ex8fj+vXr2LNnj8r6Q4cOoVevXrCysoK1tTW6dOmC/Px8AMCZM2cwYMAA2NrawsLCAp6ensjMzARQ8yWoixYtgrOzM5o1a4YhQ4YgOTkZzZs3V66v7uMrVqyAq6srbGxsMGLECNy4cUNZRpP+mpmZCalUCnNzc/Tq1QunT5+u8xgQPU13bt7BwY0H4fe+HzyCPLAvfZ9yXeXVSqz4YAU+6/AZYlrHYHrX6chbmQcAuH/3PtZOWIspsimIdorG1E5TsfWLrcptH72s7VTeKST6JyLaKRpJrybh8ObDiLSLxNmiswCA478cR6RdJI7tPIakV5MQ81wMUvqk4MLxCyrtLcoswucBnyPaKRrTOk/DltlbUHW/Srn+0olLmNt/LqKdopHwUgJKt5c2yHEjelwcWzm2kjgwq8wqNX08DyYSB2aVniad/bnF0NAQM2fOxNtvv42xY8eiTZs2j72vbdu2wdraGlu3PujA+fn5GDt2LFasWIGXX34Zf/75J3bv3q0sn5CQgLS0NCxYsAAdOnTArl27EBoaCnt7e/Ts2bPGOhQKBcLCwhATEwNPT8/Hbiup0qQfFBQUIDg4GHFxcRg+fDj27NmDf/3rX2jRogVGjRqF9evXQy6X44MPPsDo0aPrrTM1NRUhISEwNjZGSEgIUlNT8fLLLyvXv/POO+jcuTO++eYbGBoaorCwUPnHlI8++gh3797Frl27YGFhgeLiYlhaWtZYT05ODiIiIjB79mwMHDgQP//8MyZPnqxW7sSJE9i4cSMyMjJQUVGB4OBgzJo1CzNmzABQf3/9/fff8eabb+Kjjz7CBx98gPz8fIwfP16j40/0NBzceBCtOrSCQwcHdA3uig2fbkBgVCAkEgkyZ2bifOl5fLjmQ1i0sMDlk5dx7/Y9AMCuhbvwa9avGLl4JGzb2OLquauoOFfzt/tuX7+NRW8vgkeQB9799l38+fuf2PDZhhrLbp6+GYOmDYJlC0usGb8Gq8aswsdbPgYAnMg9gZX/XIk3Z70Jt+5uuHLqClZHrQYA9P2kLxQKBRa/uxhWrawQtTUKt6/fxoZPa66HqLFwbOXYSuLArDKr1PTxPJhIHJhVepp0ei3DkCFD4O3tjdjYWKSmpj72fiwsLPDf//4XJiYmAID169fDwsICb7zxBqysrODi4oLOnTsDAO7cuYOZM2fi559/Rvfu3QEAbm5u+OWXX7Bw4cJaJ9dnz54NIyMjjB079rHbSTWrrx8kJyejd+/eyhNyqVSK4uJizJkzB6NGjYKdnR0MDQ1hZWUFR0fHOuu6fv061q5di9zcXABAaGgoevTogS+//FL5y0FZWRliYmLQsWNHAECHDh2U25eVlWHo0KHw8vIC8KDv1GbevHno168foqOjle3es2cPMjIyVMopFAosXboUVlZWAICwsDBs27YNM2bM0Ki/fvPNN2jfvr3yW0zu7u4oKirC7Nmz6zwWRE9LXloeur7VFQDQsXdH3Lp+C7/l/IYOr3RAxdkKPOf1HNp2bgsAaNG2hXK7inMVsG9vD7eX3CCRSGDnbFdrHQXrCiCRSDA8ZTiMzYzh2NER18qvYXXkarWy/f/TH8/7PQ8ACIwMxLfDv8W92/dgbGaMHxN/RO/I3vAN8QUAtHRtidc/fR2b4jah7yd9cWzHMVw4fgERayNg42Sj3N/C4IW6OVhEOsKxlWMriQOzyqxS08bzYCJxYFbpadLZbWGqzZ49G8uWLUNJSclj78PLy0s5sQ4AQUFBcHFxgZubG8LCwrBy5UpUVlYCAH777TdUVlYiKCgIlpaWyp/ly5fjxIkTNe6/oKAAX375JZYuXcr7CDaQuvpBSUkJ/Pz8VJb5+fnh+PHjqKqqUitfl/T0dLRv3x5yuRwA4O3tDRcXF6xe/fDDbNy4cQgPD0dgYCBmzZql0i/Gjh2L6dOnw8/PD7GxsTh8uPYnLZeWlsLX11dl2aOvgQcPoar+hQIAnJyccPHiRQCa9deSkhK8+OKLKvus/gWEqLFdOH4BZw6cgc9QHwCAoZEhOg/pjLy0B5fR+b3nh4MbDiLRPxGbYjfhVN4p5ba+Ib44V3QOM31nYt3EdTiafbTWei4ev4jWnq1hbPbwll0uXVxqLNva8+EzM6wdrAEANy/fBACc+/UcfprzEyY4T1D+rI5cjevnr+Nu5V1cOHYBts/ZKk9SAMDV11XLo0L0dHBs5dhK4sCsMqvUNPE8mEgcmFV62nR+F35/f3/06dMHkyZNwqhRo1TWGRgYQBAElWX37t1T24eFhYXKaysrKxw4cAA7duzATz/9hClTpiAuLg779+/HzZsPOuPmzZvx3HPPqWxnampaYxt3796Nixcvom3btsplVVVVGD9+PFJSUnhfPx2oqx/oUmpqKo4cOQIjo4ddWaFQYPHixfjHP/4B4MH9H99++21s3rwZWVlZiI2NxapVqzBkyBCEh4ejT58+2Lx5M3766SckJCQgKSkJY8aMeew2PXr/folEAoVCAQCP1V+J9EleWh4U9xWI9YhVLhMEAUamRhiaOBQeQR6IPRSL4q3FKN1RivlD5uOVf7yCQdMGwVnujCkHp6D452Ic23kMS99fCvee7nhv2XtP1CYD47/9nfj//15anbm7f91F34l90emNTmrbGZnxQTQkLhxbH+LYSvqMWX2IWaWmhOfBROLArNLT1iD/S7NmzYK3t7fyYaTV7O3tcf78eQiCoPzGeGFhoUb7NDIyQmBgIAIDAxEbG4vmzZsjOzsbQUFBMDU1RVlZWa23gHlUWFgYAgMDVZb16dMHYWFheO+9JwsMPVRbP5DJZMjJyVFZlpOTA6lUCkNDQwCAiYlJvd/eKSoqQn5+Pnbs2AE7u4eX6vz5558ICAjA0aNHlZfASqVSSKVSREVFISQkBEuWLMGQIUMAAM7OzoiIiEBERAQmTZqERYsW1fhLhbu7O/bv36+y7NHX9fHw8Ki3v8pkMmzatEll2d69e7Wqh6ghVN2vwv7V+zFo2iB07NVRZV1qWCoOrDsAv/f8YNnSEr4hvvAN8UVO9xxsmrIJg6YNAgCYWZvB500f+LzpA/lAORa+tRB/VfwFC1vVP6q26tAK+d/n4/6d+8qnsZcdKNO6zW06tcHF4xdh72Zf43oHqQMqzlXg2vlrsHF88E2A0/tPa10P0dPCsVUdx1bSR8yqOmaVxIznwUTiwKxSY2iQyXUvLy+88847mDt3rsrygIAAXLp0CYmJiRg2bBi2bNmCrKwsWFtb17m/jIwMnDx5Ev7+/rC1tUVmZiYUCgXc3d1hZWWF6OhoREVFQaFQ4JVXXsG1a9eQk5MDa2trjBw5Um1/LVq0QIsWLVSWGRsbw9HRUe0EmB5fbf1g/Pjx6NatG6ZNm4bhw4cjNzcXX331FebPn68s4+rqil27dmHEiBEwNTVFy5Yt1fafmpoKX19f+Pv7q63r1q0bUlNTER8fj5iYGAwbNgzt2rXD2bNnsX//fgwdOhQAEBkZiX79+kEqlaKiogLbt2+HTCar8f2MGTMG/v7+SE5OxoABA5CdnY2srCytbi2kSX+NiIhAUlISYmJiEB4ejoKCAixdulTjOogaypEfj6DyaiVeCnsJ5tbmKus6DeiEvWl7ca38Gpy9neHY0RH379xH8Y/FcJA6AAC2f70d1o7WaOPVBhIDCQ797xCsHaxhbmOuVleXoV2wefpmrI5ajd4f90bF2Qpkf5UNAFpl7rWY17AoZBFs29hCPlAOiYEEf/z6B8qPlqP/Z/0hDZCiVftW+O5f32Fg/EDcvnEbmTMyn+AoETUsjq3qOLaSPmJW1TGrJGY8DyYSB2aVGoPO77leLT4+XnmJQzWZTIb58+fj66+/hlwux759+5QPxalL8+bNsX79erz66quQyWRYsGAB0tPT4enpCQCYNm0aJk+ejISEBMhkMvTt2xebN29Gu3btGuS9keZq6gc+Pj5Ys2YNVq1ahRdeeAFTpkxBfHy8ymWz8fHxOH36NNq3bw97e/W/3t29exdpaWnKXw4eNXToUCxfvhwGBga4cuUK3n33XUilUgQHB6Nfv36YOnUqgAe3A/roo4+U/UYqlar8cvN3fn5+WLBgAZKTkyGXy7FlyxZERUXBzMxMq2NSX39t27Yt1q1bh40bN0Iul2PBggWYOXOmVnUQNYS8tDy493RXO0kBAPkAOX4/+DsMjAyQEZ+BxB6JmPfGPEgMJRiZ+uCPnGaWZsiem42k3klI7p2MP3//Ex+s/gAGBupDkZm1GUZ/Nxrnis5hTs85yJyRiT4T+gCA8lsBmpD1lmF0+miUbi9FcmAyUl5LwY5vdsCuzYNv+RkYGOD9Fe/j3u17SA5MxqqPV+H1z15/nMND9NRwbFXHsZX0EbOqjlklseJ5MJE4MKvUGCTCozdBr8GBAwfQpUsXFBQUwMfH52m0S++sXLkSoaGhz/QxIHWjR4/G0aNHsXv37sZuCv2/6qyO3z4eznLnxm4O6VD+9/lI/3c6Ek4nwMTcpP4NSK/lf5+PtA/TOK6SGo6t+oXnwFQbZlW/8By4aeN5cNNSfR7MvDY9zGrT8vuh35HUK6ne82DeGZ9IC59//jmCgoJgYWGBrKwsLFu2rNZv+BDRk9m3ah9auraEjZMNzv16Dj/E/QDvwd48SSFqYji2EokDs0r09PA8mEgcmFUCOLlOpJV9+/YhMTERN27cgJubG+bOnYvw8PDGbhZRk3Tj4g1kJWThxsUbsHawhvcgb/T/T//GbhYR6RjHViJxYFaJnh6eBxOJA7NKACfXibSyZs2axm4C0TOj99je6D22d2M3g4gaGMdWInFgVomeHp4HE4kDs0pAAz7QlIiIiIiIiIiIiIioqeLkOhERERERERERERGRlji5TkRERERERERERESkJU6uExERERERERERERFpSasHmmZmZqKkpKSh2qLXcnJyADzbx4BIDKqzWvxzMS4cu9DIrSGi2pzMOwmA4yqRvuM5MJE48ByYSDyqz4OZVyL9dqXsikblJIIgCPUVys3NRY8ePVBVVfXEDRMzAwMDKBSKxm4GEdWDWSUSB4mBBIKi3tMQImpkHFeJxIFZJRIPngcTiYPEQIKcX3LQvXv3Wsto9M11U1NTVFVVIS0tDTKZTGcNFJPMzExMnjz5mT4GRGLArBKJQ3VWQxeGwkHq0NjNIaJaFP9cjKwZWRxXifQcz4GJxIPnwUTicOHYBaR9mAZTU9M6y2l1WxiZTAYfH58naphYVV8G+ywfAyIxYFaJxKE6qw5SBzjLnRu5NURUm+rL1TmuEuk3ngMTiQfPg4maFj7QlIiIiIiIiIiIiIhIS5xcJyIiIiIiIiIiIiLSEifXiYiIiIiIiIiIiIi0xMl1olrs2LEDEokEV69ebeym6FVbiPSRPmVEn9pC1BAi7SJxePPhxm4GAP1qC1FTok9jmT61hUjf6FM+9KktRA1Fn8499aktzzqdTK6PGjUKEokEs2bNUlm+ceNGSCQSXVShc9Vt/vtP3759G7tZoqbLfuDq6oqUlBSNyyckJMDQ0BBz5szRqp66vPzyyygvL4eNjY3O9kmkL5hXomfDqX2nENUyCt8O/1Zn+4wviYdHoIfO9kfUFHBcJRIHZpXo2cHzYHpadPbNdTMzM8yePRsVFRW62iUA4O7duzrd39/17dsX5eXlyp/09PQGq+tZ0VD9oD6LFy/GhAkTsHjxYp3t08TEBI6Ojnr7ByKiJ8W8EjV9eWl56DG6B07knsC18ms62ae1gzWMTI10si+ipoTjKpE4MKtEzwaeB9PTorPJ9cDAQDg6OiIhIaHWMnFxcfD29lZZlpKSAldXV+XrUaNGYfDgwZgxYwZat24Nd3d3AMD8+fPRoUMHmJmZwcHBAcOGDVNuo1AokJCQgHbt2sHc3BxyuRxr166tt82mpqZwdHRU/tja2mr3pkmNJv0AANatWwdPT0+YmprC1dUVSUlJynUBAQE4c+YMoqKilFcV1GXnzp24desW4uPjcf36dezZs0dl/aFDh9CrVy9YWVnB2toaXbp0QX5+PgDgzJkzGDBgAGxtbWFhYQFPT09kZmYCqPmytkWLFsHZ2RnNmjXDkCFDkJycjObNmyvXV/fxFStWwNXVFTY2NhgxYgRu3LihLKNJf83MzIRUKoW5uTl69eqF06dP13kMiB4H88q8UtN25+YdHNx4EH7v+8EjyAP70vcp11VercSKD1bgsw6fIaZ1DKZ3nY68lXkAgPt372PthLWYIpuCaKdoTO00FVu/2Krc9tFLUE/lnUKifyKinaKR9GoSDm8+jEi7SJwtOgsAOP7LcUTaReLYzmNIejUJMc/FIKVPCi4cv6DS3qLMInwe8DminaIxrfM0bJm9BVX3q5TrL524hLn95yLaKRoJLyWgdHtpgxw3osfFcZXjKokDs8qsUtPH82B6mnQ2uW5oaIiZM2di3rx5OHv27BPta9u2bSgtLcXWrVuRkZGB/Px8jB07FvHx8SgtLcWWLVvg7++vLJ+QkIDly5djwYIFOHLkCKKiohAaGoqdO3fWWc+OHTvQqlUruLu745///CeuXLnyRO0mzfpBQUEBgoODMWLECBQVFSEuLg6TJ0/G0qVLAQDr169HmzZtEB8fr7yqoC6pqakICQmBsbExQkJCkJqaqrL+nXfeQZs2bbB//34UFBRg4sSJMDY2BgB89NFHuHPnDnbt2oWioiLMnj0blpaWNdaTk5ODiIgIfPzxxygsLERQUBBmzJihVu7EiRPYuHEjMjIykJGRgZ07d6pcdlhff/3999/x5ptvYsCAASgsLER4eDgmTpxY5zEgehzMK/NKTdvBjQfRqkMrOHRwQNfgrshbmQdBEAAAmTMzcb70PD5c8yEm7p2Itz5/CxYtLAAAuxbuwq9Zv2Lk4pH4dN+nCPs2DHZt7Wqs4/b121j09iK09miN6O3R6DepH36Y+kONZTdP34xB0wZh/LbxMDAywKoxq5TrTuSewMp/roT/h/6YmDsRwcnB2Je+D1uTHvwyo1AosPjdxTAyMULU1igEJwfXWg9RY+G4ynGVxIFZZVap6eN5MD1NOr2WYciQIfD29kZsbKzaYKENCwsL/Pe//4WJiQmABwOXhYUF3njjDVhZWcHFxQWdO3cGANy5cwczZ87Ezz//jO7duwMA3Nzc8Msvv2DhwoXo2bNnjXX07dsXb775Jtq1a4cTJ07g008/Rb9+/ZCbmwtDQ8PHbjvV3w+Sk5PRu3dvTJ48GQAglUpRXFyMOXPmYNSoUbCzs4OhoSGsrKzg6OhYZ13Xr1/H2rVrkZubCwAIDQ1Fjx498OWXXypPOMrKyhATE4OOHTsCADp06KDcvqysDEOHDoWXlxeAB32nNvPmzUO/fv0QHR2tbPeePXuQkZGhUk6hUGDp0qWwsrICAISFhWHbtm2YMWOGRv31m2++Qfv27ZXfjHB3d1eeRBHpGvPKvFLTlZeWh65vdQUAdOzdEbeu38JvOb+hwysdUHG2As95PYe2ndsCAFq0baHcruJcBezb28PtJTdIJBLYOdf8CwUAFKwrgEQiwfCU4TA2M4ZjR0dcK7+G1ZGr1cr2/09/PO/3PAAgMDIQ3w7/Fvdu34OxmTF+TPwRvSN7wzfEFwDQ0rUlXv/0dWyK24S+n/TFsR3HcOH4BUSsjYCNk41yfwuDF+rmYBHpCMdVjqskDswqs0pNG8+D6WnS2TfXq82ePRvLli1DSUnJY+/Dy8tLObEOAEFBQXBxcYGbmxvCwsKwcuVKVFZWAgB+++03VFZWIigoCJaWlsqf5cuX48SJE7XWMWLECAwcOBBeXl4YPHgwMjIysH//fuzYseOx200P1dUPSkpK4Ofnp7LMz88Px48fR1VVlVr5uqSnp6N9+/aQy+UAAG9vb7i4uGD16ocfZuPGjUN4eDgCAwMxa9YslX4xduxYTJ8+HX5+foiNjcXhw7U/abm0tBS+vr4qyx59DTx4sE31SQoAODk54eLFiwA0668lJSV48cUXVfZZfVJD1BCYV+aVmp4Lxy/gzIEz8BnqAwAwNDJE5yGdkZf24JJXv/f8cHDDQST6J2JT7Cacyjul3NY3xBfnis5hpu9MrJu4Dkezj9Zaz8XjF9HaszWMzYyVy1y6uNRYtrVna+W/rR2sAQA3L98EAJz79Rx+mvMTJjhPUP6sjlyN6+ev427lXVw4dgG2z9kqf6EAAFdfVy2PCtHTwXGV4yqJA7PKrFLTxPNgetp0Prnu7++PPn36YNKkSeqVGRgoL8Oodu/ePbVyFhYWKq+trKxw4MABpKenw8nJCVOmTIFcLsfVq1dx8+aDzrh582YUFhYqf4qLizW673o1Nzc3tGzZEr/99pvG21Dt6uoHupSamoojR47AyMhI+VNcXKzykJi4uDgcOXIE/fv3R3Z2Njw8PLBhwwYAQHh4OE6ePImwsDAUFRWha9eumDdv3hO1qfryvWoSiQQKhQIAdNZfiXSJeX2IeaWmIi8tD4r7CsR6xGKc/TiMsx+HnMU5OPTDIdy6fgseQR6IPRSLgH8G4Nr5a5g/ZD7+N/l/AABnuTOmHJyCfpP64d6te1j6/lIsGbnkidtkYPy3087/vzVtdd7u/nUXfSf2RczOGOXPhF8m4LP8z2BkxodGkbhwXH2I4yrpM2b1IWaVmhKeB9PT1iD/S7NmzYK3t7fyYaTV7O3tcf78eQiCoHzgR2FhoUb7NDIyQmBgIAIDAxEbG4vmzZsjOzsbQUFBMDU1RVlZWa23gNHE2bNnceXKFTg5OT32PkhVbf1AJpMhJydHZVlOTg6kUqnyljwmJib1fiOgqKgI+fn52LFjB+zsHl6q8+effyIgIABHjx5VXlYnlUohlUoRFRWFkJAQLFmyBEOGDAEAODs7IyIiAhEREZg0aRIWLVqEMWPGqNXn7u6O/fv3qyx79HV9PDw86u2vMpkMmzZtUlm2d+9ereoh0hbzqo55JbGqul+F/av3Y9C0QejYq6PKutSwVBxYdwB+7/nBsqUlfEN84Rvii5zuOdg0ZRMGTRsEADCzNoPPmz7wedMH8oFyLHxrIf6q+AsWtqpfgGjVoRXyv8/H/Tv3YWT64LSy7ECZ1m1u06kNLh6/CHs3+xrXO0gdUHGuAtfOX4ON44Nv7Zzef1rreoieFo6r6jiukj5iVtUxqyRmPA+mxtAgk+teXl545513MHfuXJXlAQEBuHTpEhITEzFs2DBs2bIFWVlZsLa2rnN/GRkZOHnyJPz9/WFra4vMzEwoFAq4u7vDysoK0dHRiIqKgkKhwCuvvIJr164hJycH1tbWGDlypNr+bt68ialTp2Lo0KFwdHTEiRMnMGHCBDz//PPo06ePTo/Fs6y2fjB+/Hh069YN06ZNw/Dhw5Gbm4uvvvoK8+fPV5ZxdXXFrl27MGLECJiamqJly5Zq+09NTYWvr6/Kw22rdevWDampqYiPj0dMTAyGDRuGdu3a4ezZs9i/fz+GDh0KAIiMjES/fv0glUpRUVGB7du3QyaT1fh+xowZA39/fyQnJ2PAgAHIzs5GVlZWvU+G/ztN+mtERASSkpIQExOD8PBwFBQUKB+cQ9RQmFd1zCuJ1ZEfj6DyaiVeCnsJ5tbmKus6DeiEvWl7ca38Gpy9neHY0RH379xH8Y/FcJA6AAC2f70d1o7WaOPVBhIDCQ797xCsHaxhbmOuVleXoV2wefpmrI5ajd4f90bF2Qpkf5UNAFrl7bWY17AoZBFs29hCPlAOiYEEf/z6B8qPlqP/Z/0hDZCiVftW+O5f32Fg/EDcvnEbmTMyn+AoETUsjqvqOK6SPmJW1TGrJGY8D6bGoPPbwlSLj49XXuJQTSaTYf78+fj6668hl8uxb98+5YM26tK8eXOsX78er776KmQyGRYsWID09HR4enoCAKZNm4bJkycjISEBMpkMffv2xebNm9GuXbsa92doaIjDhw9j4MCBkEql+Mc//oEuXbpg9+7dMDU1ffI3T0o19QMfHx+sWbMGq1atwgsvvIApU6YgPj4eo0aNUtnu9OnTaN++Pezt1f96d/fuXaSlpSlPOB41dOhQLF++HAYGBrhy5QreffddSKVSBAcHo1+/fpg6dSoAoKqqCh999JGy30ilUpUTpr/z8/PDggULkJycDLlcji1btiAqKgpmZmZaHZP6+mvbtm2xbt06bNy4EXK5HAsWLMDMmTO1qoPocTCv6phXEqO8tDy493RX+4UCAOQD5Pj94O8wMDJARnwGEnskYt4b8yAxlGBk6oMvJJhZmiF7bjaSeichuXcy/vz9T3yw+gMYGKifNppZm2H0d6Nxrugc5vScg8wZmegz4cEXFaq/waMJWW8ZRqePRun2UiQHJiPltRTs+GYH7No8+JafgYEB3l/xPu7dvofkwGSs+ngVXv/s9cc5PERPDcdVdRxXSR8xq+qYVRIrngdTY5AIj94EvQYHDhxAly5dUFBQAB8fn6fRLr2zcuVKhIaGPtPHgNSNHj0aR48exe7duxu7KfT/mFWqDfOqX6qzOn77eDjLnRu7OaRD+d/nI/3f6Ug4nQATc5P6NyC9lv99PtI+TOO4Smo4ruoXngNTbZhV/cPz4KaL58FNy++HfkdSr6R6x1beGZ9IC59//jmCgoJgYWGBrKwsLFu2rNZvDRBR42JeiZ6Ofav2oaVrS9g42eDcr+fwQ9wP8B7szV8oiJoYjqtE4sCsEj09PA8mgJPrRFrZt28fEhMTcePGDbi5uWHu3LkIDw9v7GYRUQ2YV6Kn48bFG8hKyMKNizdg7WAN70He6P+f/o3dLCLSMY6rROLArBI9PTwPJoCT60RaWbNmTWM3gYg0xLwSPR29x/ZG77G9G7sZRNTAOK4SiQOzSvT08DyYgAZ8oCkRERERERERERERUVPFyXUiIiIiIiIiIiIiIi1xcp2IiIiIiIiIiIiISEta3XO9pKSkodqh906dOgXg2T4GRGLArBKJQ3VWLxy70MgtIaK6XCm7AoDjKpG+4zkwkXjwPJhIHDTNqEQQBKG+QmVlZZDJZKisrHzihomZoaEhqqqqGrsZRFQPZpVIHCQGEgiKek9DiKiRGRgaQFGlaOxmEFE9eA5MJB48DyYSB/Nm5jhachRt27attYxGk+vAgwn2y5cv66xxYnTnzh2Ympo2djOIqB7MKpE4MKtE4sCsEokDs0okHswrkTi0bNmyzol1QIvJdSIiIiIiIiIiIiIieoAPNCUiIiIiIiIiIiIi0hIn14mIiIiIiIiIiIiItMTJdSIiIiIiIiIiIiIiLXFynYiIiIiIiIiIiIhIS5xcJyIiIiIiIiIiIiLSEifXiYiIiIiIiIiIiIi0xMl1IiIiIiIiIiIiIiItcXKdiIiIiIiIiIiIiEhLnFwnIiIiIiIiIiIiItISJ9eJiIiIiIiIiIiIiLTEyXUiIiIiIiIiIiIiIi1xcp2IiIiIiIiIiIiISEucXCciIiIiIiIiIiIi0hIn14mIiIiIiIiIiIiItMTJdSIiIiIiIiIiIiIiLXFynYiIiIiIiIiIiIhIS5xcJyIiIiIiIiIiIiLSEifXiYiIiIiIiIiIiIi0xMl1IiIiIiIiIiIiIiItcXKdiIiIiIiIiIiIiEhLnFwnIiIiIiIiIiIiItISJ9eJiIiIiIiIiIiIiLTEyXUiIiIiIiIiIiIiIi1xcp2IiIiIiIiIiIiISEucXCciIiIiIiIiIiIi0hIn14mIiIiIiIiIiIiItMTJdSIiIiIiIiIiIiIiLXFynYiIiIiIiIiIiIhIS5xcJyIiIiIiIiIiIiLS0v8BSz7PMXyNK34AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query203: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query204: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,0]) != (shifts[1,2,0])]\n",
      "Query205: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,2,0]) >= (shifts[1,2,1]), (shifts[1,2,0]) > (shifts[1,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,1,1]) != (shifts[1,2,0])]\n",
      "Size of CL:  33\n",
      "Size of B:  5\n",
      "Number of Queries:  206\n",
      "Query206: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query207: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  No\n",
      "Query208: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[1,1,1]) <= (shifts[1,2,1])]\n",
      "adding the following constraints to C_L: [(shifts[1,2,0]) != (shifts[1,2,1])]\n",
      "Size of CL:  34\n",
      "Size of B:  3\n",
      "Number of Queries:  209\n",
      "Query209: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,1,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  34\n",
      "Size of B:  2\n",
      "Number of Queries:  210\n",
      "Query210: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,2,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  34\n",
      "Size of B:  1\n",
      "Number of Queries:  211\n",
      "Query211: is this a solution?\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\DTAI\\AppData\\Local\\Temp\\ipykernel_29080\\259578657.py:27: FutureWarning: DataFrame.applymap has been deprecated. Use DataFrame.map instead.\n",
      "  df_colors = df.applymap(lambda x: cmap[x])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Answer:  Yes\n",
      "removing the following constraints from bias: [(shifts[0,0,1]) != (shifts[1,2,1])]\n",
      "Size of CL:  34\n",
      "Size of B:  0\n",
      "Number of Queries:  212\n",
      "\n",
      "Learned 34 constraints in 212 queries.\n"
     ]
    }
   ],
   "source": [
    "learned_instance = qa.learn(instance, oracle, verbose=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e291d236",
   "metadata": {},
   "source": [
    "### Multiple Acquisition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "0511cf94",
   "metadata": {},
   "outputs": [],
   "source": [
    "# some patience needed here\n",
    "\n",
    "# Multiple Acquisition: includes MquAcq and MQuAcq2\n",
    "mqa = MQuAcq()\n",
    "learned_instance = mqa.learn(instance, oracle=oracle)\n",
    "\n",
    "mqa2 = MQuAcq2()\n",
    "learned_instance = mqa2.learn(instance, oracle=oracle)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "835d7ae4",
   "metadata": {},
   "source": [
    "### GrowAcq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "57951c90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CL</th>\n",
       "      <th>tot_q</th>\n",
       "      <th>top_lvl_q</th>\n",
       "      <th>tfs_q</th>\n",
       "      <th>tfc_q</th>\n",
       "      <th>avg_q_size</th>\n",
       "      <th>avg_gen_time</th>\n",
       "      <th>avg_t</th>\n",
       "      <th>max_t</th>\n",
       "      <th>tot_t</th>\n",
       "      <th>conv</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>qa</th>\n",
       "      <td>34</td>\n",
       "      <td>212</td>\n",
       "      <td>38</td>\n",
       "      <td>146</td>\n",
       "      <td>28</td>\n",
       "      <td>6.1840</td>\n",
       "      <td>0.8936</td>\n",
       "      <td>0.6745</td>\n",
       "      <td>2.0497</td>\n",
       "      <td>142.9991</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mqa</th>\n",
       "      <td>34</td>\n",
       "      <td>158</td>\n",
       "      <td>60</td>\n",
       "      <td>30</td>\n",
       "      <td>68</td>\n",
       "      <td>2.7848</td>\n",
       "      <td>0.7531</td>\n",
       "      <td>0.0790</td>\n",
       "      <td>1.3900</td>\n",
       "      <td>12.4873</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mqa2</th>\n",
       "      <td>34</td>\n",
       "      <td>190</td>\n",
       "      <td>38</td>\n",
       "      <td>104</td>\n",
       "      <td>38</td>\n",
       "      <td>4.5316</td>\n",
       "      <td>0.6856</td>\n",
       "      <td>0.0712</td>\n",
       "      <td>1.3654</td>\n",
       "      <td>13.5200</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ga</th>\n",
       "      <td>34</td>\n",
       "      <td>177</td>\n",
       "      <td>63</td>\n",
       "      <td>82</td>\n",
       "      <td>32</td>\n",
       "      <td>5.3785</td>\n",
       "      <td>0.1366</td>\n",
       "      <td>0.0720</td>\n",
       "      <td>0.4259</td>\n",
       "      <td>12.7439</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CL  tot_q  top_lvl_q  tfs_q  tfc_q  avg_q_size  avg_gen_time   avg_t  \\\n",
       "qa    34    212         38    146     28      6.1840        0.8936  0.6745   \n",
       "mqa   34    158         60     30     68      2.7848        0.7531  0.0790   \n",
       "mqa2  34    190         38    104     38      4.5316        0.6856  0.0712   \n",
       "ga    34    177         63     82     32      5.3785        0.1366  0.0720   \n",
       "\n",
       "       max_t     tot_t  conv  \n",
       "qa    2.0497  142.9991     1  \n",
       "mqa   1.3900   12.4873     1  \n",
       "mqa2  1.3654   13.5200     1  \n",
       "ga    0.4259   12.7439     1  "
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Creating an environment with the default settings\n",
    "env = ActiveCAEnv()\n",
    "\n",
    "# GrowAcq\n",
    "ga = GrowAcq(env)\n",
    "learned_instance = ga.learn(instance, oracle=oracle)\n",
    "\n",
    "# we can compare the statistics:\n",
    "out = pd.concat([a.env.metrics.short_statistics for a in [qa,mqa,mqa2,ga]])\n",
    "out.index = [\"qa\",\"mqa\",\"mqa2\",\"ga\"]\n",
    "out"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4bfb4462",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Prediction-based interactive CA system"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "547cb334",
   "metadata": {},
   "source": [
    "- 2 types of environments for interactive CA systems in **PyConA**: \n",
    "    - the basic ActiveCAEnv, \n",
    "    - and the prediction based ProbaActiveCAEnv (default if none is used)\n",
    "- ProbaActiveCAEnv uses the constraint-level dataset and predictions to guide the queries\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd94448e",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "ProbaActiveCAEnv has 2 additional configurable options:\n",
    "- Feature representation (.feature_representation): The feature representation used for the constraints\n",
    "- Classifier (.classifier): The (probabilistic) classifier used to predict probabilities for the candidate constraints"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f7be7a6",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Comparing probabilistic approach with basic environment "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2dc4655f",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": [
    "from pycona import benchmarks\n",
    "\n",
    "instance, oracle = benchmarks.construct_nurse_rostering(3, 2, 8, 2)\n",
    "\n",
    "# env = ProbaActiveCAEnv() # <- we do not have to use it, as it is the default for GrowAcq\n",
    "ga_predict = GrowAcq() # GrowAcq(env)\n",
    "learned_instance = ga_predict.learn(instance, oracle)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "1164f4d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CL</th>\n",
       "      <th>tot_q</th>\n",
       "      <th>top_lvl_q</th>\n",
       "      <th>tfs_q</th>\n",
       "      <th>tfc_q</th>\n",
       "      <th>avg_q_size</th>\n",
       "      <th>avg_gen_time</th>\n",
       "      <th>avg_t</th>\n",
       "      <th>max_t</th>\n",
       "      <th>tot_t</th>\n",
       "      <th>conv</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>qa</th>\n",
       "      <td>34</td>\n",
       "      <td>196</td>\n",
       "      <td>39</td>\n",
       "      <td>134</td>\n",
       "      <td>23</td>\n",
       "      <td>6.3673</td>\n",
       "      <td>0.9176</td>\n",
       "      <td>0.7691</td>\n",
       "      <td>2.2738</td>\n",
       "      <td>150.7493</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mqa</th>\n",
       "      <td>34</td>\n",
       "      <td>158</td>\n",
       "      <td>60</td>\n",
       "      <td>30</td>\n",
       "      <td>68</td>\n",
       "      <td>2.8038</td>\n",
       "      <td>0.7736</td>\n",
       "      <td>0.0818</td>\n",
       "      <td>1.3318</td>\n",
       "      <td>12.9211</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mqa2</th>\n",
       "      <td>34</td>\n",
       "      <td>195</td>\n",
       "      <td>38</td>\n",
       "      <td>99</td>\n",
       "      <td>48</td>\n",
       "      <td>4.1590</td>\n",
       "      <td>0.8357</td>\n",
       "      <td>0.0890</td>\n",
       "      <td>1.6505</td>\n",
       "      <td>17.3566</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ga</th>\n",
       "      <td>34</td>\n",
       "      <td>183</td>\n",
       "      <td>64</td>\n",
       "      <td>85</td>\n",
       "      <td>33</td>\n",
       "      <td>5.3989</td>\n",
       "      <td>0.1269</td>\n",
       "      <td>0.0662</td>\n",
       "      <td>0.3819</td>\n",
       "      <td>12.1143</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ga-predict</th>\n",
       "      <td>34</td>\n",
       "      <td>82</td>\n",
       "      <td>80</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>7.2683</td>\n",
       "      <td>0.3320</td>\n",
       "      <td>0.3683</td>\n",
       "      <td>1.2130</td>\n",
       "      <td>30.1976</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            CL  tot_q  top_lvl_q  tfs_q  tfc_q  avg_q_size  avg_gen_time  \\\n",
       "qa          34    196         39    134     23      6.3673        0.9176   \n",
       "mqa         34    158         60     30     68      2.8038        0.7736   \n",
       "mqa2        34    195         38     99     48      4.1590        0.8357   \n",
       "ga          34    183         64     85     33      5.3989        0.1269   \n",
       "ga-predict  34     82         80      0      2      7.2683        0.3320   \n",
       "\n",
       "             avg_t   max_t     tot_t  conv  \n",
       "qa          0.7691  2.2738  150.7493     1  \n",
       "mqa         0.0818  1.3318   12.9211     1  \n",
       "mqa2        0.0890  1.6505   17.3566     1  \n",
       "ga          0.0662  0.3819   12.1143     1  \n",
       "ga-predict  0.3683  1.2130   30.1976     1  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# comparison with other algorithms\n",
    "out = pd.concat([a.env.metrics.short_statistics for a in [qa,mqa,mqa2,ga, ga_predict]])\n",
    "out.index = [\"qa\",\"mqa\",\"mqa2\",\"ga\", \"ga-predict\"]\n",
    "out"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "38fe8c70",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Customize the behaviour of ProbaActiveCAEnv"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "363bc1ca",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "##### Changing the classifier used"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dea8f22d",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "**PyConA** uses scikit-learn classifiers\n",
    "- any classifier with a .fit() and .predict_proba() can be used. \n",
    "- default: Decision tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "a8d538d9",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
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       "    }\n",
       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>CL</th>\n",
       "      <th>tot_q</th>\n",
       "      <th>top_lvl_q</th>\n",
       "      <th>tfs_q</th>\n",
       "      <th>tfc_q</th>\n",
       "      <th>avg_q_size</th>\n",
       "      <th>avg_gen_time</th>\n",
       "      <th>avg_t</th>\n",
       "      <th>max_t</th>\n",
       "      <th>tot_t</th>\n",
       "      <th>conv</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Decision Tree</th>\n",
       "      <th>0</th>\n",
       "      <td>34</td>\n",
       "      <td>82</td>\n",
       "      <td>80</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>7.2683</td>\n",
       "      <td>0.3320</td>\n",
       "      <td>0.3683</td>\n",
       "      <td>1.2130</td>\n",
       "      <td>30.1976</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Naive Bayes</th>\n",
       "      <th>0</th>\n",
       "      <td>34</td>\n",
       "      <td>96</td>\n",
       "      <td>84</td>\n",
       "      <td>5</td>\n",
       "      <td>7</td>\n",
       "      <td>6.9583</td>\n",
       "      <td>0.3500</td>\n",
       "      <td>0.3543</td>\n",
       "      <td>1.4171</td>\n",
       "      <td>34.0172</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Basic</th>\n",
       "      <th>0</th>\n",
       "      <td>34</td>\n",
       "      <td>183</td>\n",
       "      <td>64</td>\n",
       "      <td>85</td>\n",
       "      <td>33</td>\n",
       "      <td>5.3989</td>\n",
       "      <td>0.1269</td>\n",
       "      <td>0.0662</td>\n",
       "      <td>0.3819</td>\n",
       "      <td>12.1143</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 CL  tot_q  top_lvl_q  tfs_q  tfc_q  avg_q_size  avg_gen_time  \\\n",
       "Decision Tree 0  34     82         80      0      2      7.2683        0.3320   \n",
       "Naive Bayes   0  34     96         84      5      7      6.9583        0.3500   \n",
       "Basic         0  34    183         64     85     33      5.3989        0.1269   \n",
       "\n",
       "                  avg_t   max_t    tot_t  conv  \n",
       "Decision Tree 0  0.3683  1.2130  30.1976     1  \n",
       "Naive Bayes   0  0.3543  1.4171  34.0172     1  \n",
       "Basic         0  0.0662  0.3819  12.1143     1  "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.naive_bayes import GaussianNB\n",
    "\n",
    "# Use NB\n",
    "env = ProbaActiveCAEnv(classifier=GaussianNB())\n",
    "\n",
    "gaNB = GrowAcq(env)\n",
    "learned_instance = gaNB.learn(instance, oracle=oracle)\n",
    "\n",
    "pd.concat([ga_predict.env.metrics.short_statistics, \n",
    "           gaNB.env.metrics.short_statistics,\n",
    "           ga.env.metrics.short_statistics], keys=[\"Decision Tree\", \"Naive Bayes\", \"Basic\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82a89984",
   "metadata": {},
   "source": [
    "##### Changing the feature representation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11a836fa",
   "metadata": {},
   "source": [
    "\n",
    "- FeatureRepresentation class to featurize constraints\n",
    "- Subclass FeatureRepresentation to define custom feature representations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "92cdf660",
   "metadata": {},
   "outputs": [],
   "source": [
    "from pycona.predictor import FeatureRepresentation\n",
    "from pycona.utils import get_relation\n",
    "\n",
    "class FeaturesSimpleRel(FeatureRepresentation):\n",
    "\n",
    "        def featurize_constraint(self, c):\n",
    "            relation = get_relation(c, self.instance.language)\n",
    "            return [relation]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "ee5f70b6",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>CL</th>\n",
       "      <th>tot_q</th>\n",
       "      <th>top_lvl_q</th>\n",
       "      <th>tfs_q</th>\n",
       "      <th>tfc_q</th>\n",
       "      <th>avg_q_size</th>\n",
       "      <th>avg_gen_time</th>\n",
       "      <th>avg_t</th>\n",
       "      <th>max_t</th>\n",
       "      <th>tot_t</th>\n",
       "      <th>conv</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>All Features</th>\n",
       "      <th>0</th>\n",
       "      <td>34</td>\n",
       "      <td>82</td>\n",
       "      <td>80</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>7.2683</td>\n",
       "      <td>0.3320</td>\n",
       "      <td>0.3683</td>\n",
       "      <td>1.213</td>\n",
       "      <td>30.1976</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Simple Features</th>\n",
       "      <th>0</th>\n",
       "      <td>34</td>\n",
       "      <td>90</td>\n",
       "      <td>86</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>7.4222</td>\n",
       "      <td>0.2604</td>\n",
       "      <td>0.2818</td>\n",
       "      <td>0.884</td>\n",
       "      <td>25.3644</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   CL  tot_q  top_lvl_q  tfs_q  tfc_q  avg_q_size  \\\n",
       "All Features    0  34     82         80      0      2      7.2683   \n",
       "Simple Features 0  34     90         86      2      2      7.4222   \n",
       "\n",
       "                   avg_gen_time   avg_t  max_t    tot_t  conv  \n",
       "All Features    0        0.3320  0.3683  1.213  30.1976     1  \n",
       "Simple Features 0        0.2604  0.2818  0.884  25.3644     1  "
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "env1 = ProbaActiveCAEnv(feature_representation=FeaturesSimpleRel())\n",
    "ga1 = GrowAcq(env1)\n",
    "learned_instance1 = ga1.learn(instance, oracle=oracle)\n",
    "\n",
    "pd.concat([ga_predict.env.metrics.short_statistics, \n",
    "           ga1.env.metrics.short_statistics], keys=[\"All Features\", \"Simple Features\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "bbadee2b-700d-4256-bf16-a9c26861f5e0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Practice\n",
    "## Compare the results of different algorithms (QuAcq, MQuAcq, MQuAcq2, GrowAcq)\n",
    "## on different benchmarks (nurse rostering, exam timetabling, murder puzzle)\n",
    "## Use GrowAcq both with and without the prediction-based environment\n",
    "from pycona.benchmarks import construct_murder_problem, construct_examtt_simple, construct_nurse_rostering\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "ec70d315-fa07-4b14-b1e2-eb05f67eab1f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Practice 2\n",
    "## Use different classifiers of your choice in GrowAcq\n",
    "## and compare the results on the different benchmarks"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f85a24d",
   "metadata": {},
   "source": [
    "### PyConA\n",
    "\n",
    "The repository has implemented various approaches and methods from the literature:\n",
    "- Algorithms: QuAcq [[1](https://www.lirmm.fr/~coletta/pub/ijcai13.pdf)-[2](https://www.sciencedirect.com/science/article/abs/pii/S0004370223000425)], MQuAcq [[3](https://link.springer.com/chapter/10.1007/978-3-319-98334-9_25)-[4](https://link.springer.com/article/10.1007/s10601-020-09311-4)], MQuAcq-2 \\[[5](https://link.springer.com/chapter/10.1007/978-3-030-30048-7_41)], GrowAcq \\[[6](https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CP.2023.36)], P-QuAcq\\[[7](https://www.ijcai.org/Proceedings/16/Papers/108.pdf)], G-QuAcq [[8](https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7372165&tag=1)]\n",
    "- Query Generation: TQ-Gen [[9](https://link.springer.com/chapter/10.1007/978-3-319-93031-2_1)], PQ-Gen [[6](https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CP.2023.36)]\n",
    "- FindScope: FindScope [[1](https://www.lirmm.fr/~coletta/pub/ijcai13.pdf)], Findscope-2 [[2](https://www.sciencedirect.com/science/article/abs/pii/S0004370223000425), [4](https://link.springer.com/article/10.1007/s10601-020-09311-4)]\n",
    "- FindC: FindC [[1](https://www.lirmm.fr/~coletta/pub/ijcai13.pdf)], FindC-2 [[2](https://www.sciencedirect.com/science/article/abs/pii/S0004370223000425)]\n",
    "- ML-based CA system and query generation objectives from [[10](https://ojs.aaai.org/index.php/AAAI/article/download/28655/29272)]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a1b25169",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "### References\n",
    "\n",
    "[1] [Bessiere, C., at al. (2013, June). Constraint acquisition via partial queries. In _Twenty-Third International Joint Conference on Artificial Intelligence.](https://www.lirmm.fr/~coletta/pub/ijcai13.pdf)\n",
    "\n",
    "[2] [Bessiere, C., et al. (2023). Learning constraints through partial queries. Artificial Intelligence, 319, 103896.](https://www.sciencedirect.com/science/article/abs/pii/S0004370223000425)\n",
    "\n",
    "[3] [Tsouros, D. C., Stergiou, K., & Sarigiannidis, P. G. (2018). Efficient methods for constraint acquisition. In _Principles and Practice of Constraint Programming: 24th International Conference, CP 2018, Lille, France, August 27-31, 2018, Proceedings 24_ (pp. 373-388). Springer International Publishing.](https://link.springer.com/chapter/10.1007/978-3-319-98334-9_25)\n",
    "\n",
    "[4] [Tsouros, D. C., & Stergiou, K. (2020). Efficient multiple constraint acquisition. _Constraints_, _25_(3), 180-225.](https://link.springer.com/article/10.1007/s10601-020-09311-4)\n",
    "\n",
    "[5] [Tsouros, D. C., Stergiou, K., & Bessiere, C. (2019). Structure-driven multiple constraint acquisition. In _Principles and Practice of Constraint Programming: 25th International Conference, CP 2019, Stamford, CT, USA, September 30–October 4, 2019, Proceedings 25_ (pp. 709-725). Springer International Publishing.](https://link.springer.com/chapter/10.1007/978-3-030-30048-7_41)\n",
    "\n",
    "[6] [Tsouros, D. C., Berden, S., & Guns, T. (2023). Guided Bottom-Up Interactive Constraint Acquisition}}. In _29th International Conference on Principles and Practice of Constraint Programming (CP 2023)_ (Vol. 280, p. 36).](https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CP.2023.36)\n",
    "\n",
    "[7] [Daoudi, A., Mechqrane, Y., Bessiere, C., Lazaar, N., & Bouyakhf, E. H. (2016, July). Constraint Acquisition with Recommendation Queries. In _IJCAI_ (pp. 720-726).](https://www.ijcai.org/Proceedings/16/Papers/108.pdf)\n",
    "\n",
    "[8] [Daoudi, A., Lazaar, N., Mechqrane, Y., Bessiere, C., & Bouyakhf, E. H. (2015, November). Detecting types of variables for generalization in constraint acquisition. In _2015 IEEE 27th International Conference on Tools with Artificial Intelligence (ICTAI)_ (pp. 413-420). IEEE.](https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7372165&tag=1)\n",
    "\n",
    "[9][Ait Addi, H., Bessiere, C., Ezzahir, R., & Lazaar, N. (2018). Time-bounded query generator for constraint acquisition. In _Integration of Constraint Programming, Artificial Intelligence, and Operations Research: 15th International Conference, CPAIOR 2018, Delft, The Netherlands, June 26–29, 2018, Proceedings 15_ (pp. 1-17). Springer International Publishing.](https://link.springer.com/chapter/10.1007/978-3-319-93031-2_1)\n",
    "\n",
    "[10] [Tsouros, D., Berden, S., & Guns, T. (2024, March). Learning to learn in interactive constraint acquisition. In _Proceedings of the AAAI Conference on Artificial Intelligence_ (Vol. 38, No. 8, pp. 8154-8162)](https://ojs.aaai.org/index.php/AAAI/article/download/28655/29272)\n"
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