03 - iris_adhoc_dataset_qsvm.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from qiskit import Aer\n",
    "from qiskit.circuit.library import ZZFeatureMap, PauliFeatureMap, ZFeatureMap\n",
    "from qiskit.utils import QuantumInstance, algorithm_globals\n",
    "from qiskit_machine_learning.algorithms import QSVC\n",
    "from qiskit_machine_learning.kernels import QuantumKernel\n",
    "from qiskit_machine_learning.datasets import iris, ad_hoc_data\n",
    "from sklearn.preprocessing import MinMaxScaler, OneHotEncoder\n",
    "from sklearn.cluster import SpectralClustering\n",
    "from sklearn.metrics import normalized_mutual_info_score\n",
    "from sklearn.preprocessing import StandardScaler, MinMaxScaler\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [10, 7]\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "\n",
    "seed = 12345\n",
    "algorithm_globals.random_seed = seed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "iris_dataset = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using iris dataset...\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 426,
       "width": 610
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "if iris_dataset:\n",
    "    \n",
    "    print(\"Using iris dataset...\")\n",
    "    \n",
    "    # iris dataset\n",
    "    dimension = 4\n",
    "\n",
    "    train_features, train_labels, test_features, test_labels = iris(\n",
    "        training_size=20,\n",
    "        test_size=5,\n",
    "        n=dimension,\n",
    "        plot_data=True,\n",
    "        one_hot=False,\n",
    "    )\n",
    "\n",
    "else:\n",
    "    \n",
    "    print(\"Using adhoc dataset...\")\n",
    "        \n",
    "    # adhoc dataset\n",
    "    dimension = 2\n",
    "\n",
    "    train_features, train_labels, test_features, test_labels, adhoc_total = ad_hoc_data(\n",
    "        training_size=20,\n",
    "        test_size=5,\n",
    "        n=adhoc_dimension,\n",
    "        gap=0.3,\n",
    "        plot_data=True,\n",
    "        one_hot=False,\n",
    "        include_sample_total=True,\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.69002211,  0.15483697, -0.34236881, -0.52272077],\n",
       "       [-0.82246683, -0.27293588, -0.29271509, -0.02540287],\n",
       "       [-0.75908951,  0.24454041, -0.57021011, -0.43279738],\n",
       "       [-0.81000517, -0.17628293, -0.31783265,  0.06185599],\n",
       "       [-0.85503411,  0.41946018,  0.09204539,  0.05164094]])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_features[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60,)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_labels.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_map = ZZFeatureMap(feature_dimension=dimension, reps=1, entanglement=\"full\")\n",
    "#feature_map = ZFeatureMap(feature_dimension=dimension, reps=1)\n",
    "#feature_map = PauliFeatureMap(feature_dimension=dimension, reps=1, paulis = ['Z','X','ZY'])\n",
    "\n",
    "backend = QuantumInstance(\n",
    "    Aer.get_backend(\"qasm_simulator\"), shots=1024, seed_simulator=seed, seed_transpiler=seed\n",
    ")\n",
    "\n",
    "kernel = QuantumKernel(feature_map=feature_map, quantum_instance=backend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1591.6x565.88 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {
      "image/png": {
       "height": 441,
       "width": 1216
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "feature_map.decompose().draw('mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "qsvc = QSVC(quantum_kernel=kernel)\n",
    "qsvc.fit(train_features, train_labels)\n",
    "\n",
    "qsvc_score = qsvc.score(test_features, test_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 1, 2, 2])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qsvc.predict(test_features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model score: 80.00%\n"
     ]
    }
   ],
   "source": [
    "print(\"Model score: {:.2f}%\".format(qsvc_score*100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 318,
       "width": 306
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Clustering score: 0.5416929435988692\n"
     ]
    }
   ],
   "source": [
    "matrix = kernel.evaluate(x_vec=train_features)\n",
    "\n",
    "plt.figure(figsize=(5, 5))\n",
    "plt.imshow(np.asmatrix(matrix), interpolation=\"nearest\", origin=\"upper\", cmap=\"Greens\")\n",
    "plt.title(\"Clustering kernel matrix\")\n",
    "plt.show()\n",
    "\n",
    "spectral = SpectralClustering(2, affinity=\"precomputed\")\n",
    "cluster_labels = spectral.fit_predict(matrix)\n",
    "cluster_score = normalized_mutual_info_score(cluster_labels, train_labels)\n",
    "\n",
    "print(f\"Clustering score: {cluster_score}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_map = ZZFeatureMap(feature_dimension=dimension, reps=1, entanglement=\"full\")\n",
    "#feature_map = ZFeatureMap(feature_dimension=dimension, reps=1)\n",
    "#feature_map = PauliFeatureMap(feature_dimension=dimension, reps=1, paulis = ['Z','X','ZY'])\n",
    "\n",
    "backend = QuantumInstance(\n",
    "    Aer.get_backend(\"qasm_simulator\"), shots=1024, seed_simulator=seed, seed_transpiler=seed\n",
    ")\n",
    "\n",
    "kernel = QuantumKernel(feature_map=feature_map, quantum_instance=backend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "if iris_dataset:\n",
    "    \n",
    "    train_features, train_labels, test_features, test_labels = iris(\n",
    "        training_size=25,\n",
    "        test_size=5,\n",
    "        n=dimension,\n",
    "        plot_data=False,\n",
    "        one_hot=False,\n",
    "    )\n",
    "    \n",
    "else:\n",
    "    \n",
    "    train_features, train_labels, test_features, test_labels, adhoc_total = ad_hoc_data(\n",
    "        training_size=25,\n",
    "        test_size=0,\n",
    "        n=adhoc_dimension,\n",
    "        gap=0.6,\n",
    "        plot_data=False,\n",
    "        one_hot=False,\n",
    "        include_sample_total=True,\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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yBBY5D9EEh62I3qr9LFuPiMjJSm9ZikjizOxURB9EnzGMKHR3JlIkD+CNIYRvPd/bJiLyfNCATEQSZ2aNiLLGXoHog+o9iD48vxfRzNf/HUJ4wl+DiMjJTQMyERERkYTpM2QiIiIiCdOATERERCRhGpCJiIiIJEwDMhEREZGEJTogM7MVZvYPZrbfzKar3z32STPrSHK7RERERJ5Pic2yNLN1iL5/rRfAvyH6brjzALwE0ZcuXxhCGJznup9C9P2AuxZkY0VERETirQYwGkJYc6wLLtQXr87HXyEajL0vhPDpmRvN7M8A/B6AjyHKJZqPVqTQiaZsZ63i6lXL3AVbsi0xq/YHsEYuOAayHABMlSbdWn2mgbTpq8QMtuO2yZNNZcn28Iuu5VB2aynzHw17LGy5OGx7Jorjbq0l10rXm0Lare0c2e3Wljf3uLVsKsfbNH/fsz0U10s49pz5+9bIc1aulGiL2VSdWwuokJr/WNi2Rm36+571TbbfS4E/TiNL8+faXy7u2SxVim6N7QO239n2xGHHJ3vOWB8BgGKlQJb1z2+sD8Wf+/znmx0P7FwSpxT85zNt/st/CP7zmTK+PbxNtqy/D+L6UAXkdYXuP3ZO8PdBdaNqeuLRJzA1lefLeqtM4gqZma0FsBPRFax1Ydazb2YtAA4geri9IYSJeaz/HrRkt+GFvTXrX/zLj7rLXrr8JXTd8z0JsA4OAPcP3uvWNndscWvsxDxdnqZtFshJifWLZY0r3FouXe/WAGC0OOzW6tP+wDNfnvKXS/E2K+SgGyPbc/vB293ay1e8grbZlPEH9q/7xjVu7eMX/6ZbW9a0krbZmGl2a3RARp7ruIGKkf43WfIHtOzF/cj0AG1zedMpbm267J8I2WMZK47QNpc2+vuetZkhL3qH8wdpm+x4YMdZjpyH2KAAAPqnDrg1tt/zZf8PyrqY45Nhz8soqa1s4hcn9k7scmtLyfmNnTPr4s59hSG3xo4HflzzgcqhqX1uraOu260VSJ9uyvI/Rvun9ru19rout8YeC+vTADBRGnNr7FzMBo/s/AX4A9OXX/BKPHDfg/eGEM6mK6i1zmNdYIG8tPr7e2HOSCWEMAbgNgCNAF74fG+YiIiIyPMtqbcsN1Z/P+7Un0D0FSobAPzAW4mZ3eOUNs1/00RERESeX0ldIWur/vauOc/c3v48bIuIiIhIopL8UD8z82Yy/YCb9x5t9crZtoXeKBEREZHnQlJXyGaugLU59dY59xMRERFZtJK6QvZY9fcGp76++tv7jFms1auW4WN/+ZGatbdfc6273ENf+SZd73ee/g+39t4t7z2qbatlZfMqt7ZrbJdbOzDpz4ra2rmVtrmqea1bGy36M4LYzDo26xPgs7iWNCx1a+25mgkmAPjMJwDIkZlu7CLsxcsuIUvx2cmTZX9y8JYeP9pi58hOt7aSzHID+MwoNnORPWfLGv1+CQC3HrjJrW0h/a8l3ejW+hqW0zYZNoswa36cQf/UIbre9pw/O4y1mcn4bcbFmByY9GfIrWxeTZb0+yaLOgB4/AKbSUkjFGiLcfEoft/sI7MhWawFAHTMc7Yfm/k6VeKBAK1Z/xM46dT8XorjUhI66/xzzRQ5RzWkm9xa3MxrFhfBYi8G8/1urbO+dmLC0WB9ulAms2ZjZgfXOX3heGJKkrpC9sPq71fYnCOuGntxIYApAHc83xsmIiIi8nxLZEAWQtgJ4HuIEm3nhjL9vwCaAFw3nwwyERERkZNNkh/q/21EX530KTN7GYDtAM5H9NVJjwP4UILbJiIiIvK8SezLxatXyc4B8DlEA7HfB7AOwKcAvGi+32MpIiIicrJJNPYihLAHwK8luQ0iIiIiSUvsCpmIiIiIRE7UYNjj1pJtcb8onEVbnP7m19L1jt+43a0dItPU2RRtAFjdcqpb2zHyhFu7/JQr3Vp/3v+SVwAoVPyYhEYy7blEpvlvH7yLtnnzntvc2nu2+BdLd43tcGvdMVOibz/8U7e2qsWPkmDrHS+O0jabyRfwvnfrO9zaaMGP3ouL92DTu+vS/pfzsjbjvoz6xUtf6tbYF8LvGPWPow1tW2ibpYr/hcCF8rRbS6X9vz9bc14kYoTFHbAIFPYFxXHxAevbTnNrmZQfp8FiB+K+MJnFnMRFSXjGisO03kLiIAJ5LKzG4jIAvo+K5AunQ8V/rtlzAgB5cr5F2V8vO44GSFQEAKwg8Shsv7Mv62bHAgAsa/L70Aj5gvXu+iVuLS6uZbjkx/rsGd/l1lY0++f/bMzz+fjIwzVvnybPVxxdIRMRERFJmAZkIiIiIgnTgExEREQkYRqQiYiIiCRMAzIRERGRhGlAJiIiIpIwDchEREREErZoc8iA4Ob8fOfp/3CXYjljANB8mZ8NdNvnP+/WWMYKANw74GdlXbLsZW7Ny0IB4rOVMqmcW2MZSQ2pRre2tXMbbbOjrtOtsbyYJQ1L3VrK0rTNc3tf5NZu3v8Dt/bKFWvc2mD+MG2zMcPyk/zMofVtm9xaXPZZW9bft4Wyn4E0HPxsIJbXBAD3HPZz5c7t8ff7+rbNbm2abCsA5Ei/bc/5+4DlhfXW99E22bL7J3e7tb4GP3+wMdNM27zt4I/cWkvOX3Zdy3q31kTy8QD+WJY3+plNhYqf/9ae66JtHs4fmNeyLBetLl1P22zKtrg1lm+WTvkvmWwfAEBD2j9v0v2X9vt0R103bXOqNOHWnhx9zK0dz/n2yLR/buzI+dv7xOgjbu3UVv91FwC6yfHLavPN1gP87NBcTN9jdIVMREREJGEakImIiIgkTAMyERERkYRpQCYiIiKSMA3IRERERBKmAZmIiIhIwhZt7IUhhWyqrmbtvVve6y53aHIfXS+Ltrjw6qvd2tA376frXdm8yq3ly1NujcUH/OTQLbTN1lyHWytXSm5tIH/IrXXX9dI2h6f9iIXeBj8ahE03r0830DYHyfae13u+Wxsvjbm13eNP0zbvPXyvW7t42cVubefo425tA3muASBNpqOzqdhLGpe5NYPRNrf1+PtvtDjs1lLm/y3Ykm2nbZaD3zf9cAoeAcC2BwBKpM3mjB+hwPce98IlF7q1p8d2ujUWpxH3fLaQWIxSKLo1FjMRF53Cls2ksm4tl659fgf4ORMA6lP+OcMP/AGmypNujR1/AN/3dSm2//wtmiDnqLhtOrWNR0l4ymR7ojb9c3UFfl9Y17JxXtsThx33x9WHnNed4znmdYVMREREJGEakImIiIgkTAMyERERkYRpQCYiIiKSMA3IRERERBKmAZmIiIhIwhZt7EVAQIiZbl1LX+MKWu+u96MZWLRFx2tfQNd763X/5NY2kunJdxy61a1duOQS2uY0mda7fWS7W9sx4k+5f9O6t9E2MyS+oiPX5daGC0fc2sGYqJI1LevdGpuS/9jIw25tCYnoAICzSRzE0PSAW9vccaZbK5anaZv5SsGtNZM4AxY7UCDrBECPMRZfUaj4j+W+gZ/SNje2+/Ef7HHmcjm3tmtsB22zhxz3o8URt5ZN+W2yKfcAMF3Ou7UVTae4tRSJOjgyfZi2yfYfeywMi22I1uvvhyLpf0aiSnJknQAwVfLjK9jxUEfWe3CKn4eWNq50a+PFUbfG+kldTORPgfQhdmynyLWauFiHIjm2WV9gz3UcFhvColOYuDiliWLtyJG4WBBGV8hEREREEqYBmYiIiEjCNCATERERSZgGZCIiIiIJ04BMREREJGEakImIiIgkTAMyERERkYQt2hyyqdIk7h+8t2ZtZfMqd7nVLafS9d5LMpLYelnOGAC8+J3vcmsTNz7q1jZ1+JlMI8Uh2ua+id1u7cyus93aOT0vcmssYwsANrVvdWs7R/3H2ZxpcWsHJg7QNrvre9xaZ12vW/vurh+6tavWX0HbzJqffTNRHHdrDw/5WXbLYjLyWknu11hh2K2xPKcmst8BoBD8zCGWOTdR8nOXDkwepG1u7TyL1j0FkuPWUedn4AE826sx0+jWzPzUJpaBBwBHyLHEso5YZlpXvd/fAZ73lye5hS3ZNrdWQaBtsqws9jjryX5Pp/i1BpaHxbaHZbH1NCydd5ss+4y1mSLHLgAM5g+5tSWZZrdmJG2sHEq0zbv673JrL17qZ2M2ku0ZLgzSNlkeG8soY+fFOtK/AD+nLO45YXSFTERERCRhGpCJiIiIJEwDMhEREZGEaUAmIiIikjANyEREREQSpgGZiIiISMIsBD4l+WRkZvec/oIt27596w0167vGdrnLDk37074B4JJlL3NrbFp4Ombs25Rt9WuXbXJrLBJj+/ADtM3N7We6tb0Tu/z1Dj3i1s7rfSFt83t7v+vWXrXyMrfGpuN3k2n+AFCqFN0am27OahPFMdpmIFP9Hxi8z61taN/o1orkcQBAF9kPE0U/ZuLItD+lvC3nxxkAwDSJksim/OgPNpW/mRwLAJAhkSKPDj/o1lY2r3ZrbJo/ABQq/uNsy3W6NTYFPi4ihp0TcmT/sXP6wam9tM3eej+64fER/7ivwI/wWN96Gm2zGPx+nSLnTRarEmey5EfPsOezVPEjH6bIOgGgJefH0hQqBdKmX5ssTdA22bmRxcAMTve7tb4GHr/D+kKRtJkmz2fc8Xlwap9ba0j78RXsHJ9L1dE2Hxt5uObt73z5e/DoA4/fG0Lws6McukImIiIikjANyEREREQSpgGZiIiISMI0IBMRERFJmAZkIiIiIgnTgExEREQkYfOfN3yCM/hTzg9MHnCXu/yUK+l6H3emugLA+rbNbu2OQ7fS9W7q8Jdl0RYsEuPBr3yDtsmmm/9s8Gdu7TWnvM6t7RrbQdt849q3ujUzf2ozi0KoBH+addw2rW3d4NYePHKvW2sjU9gBoDHjT7VOp9Jube/EHrd2aqsfiQEAlVB2a2Mk9qKjzp/m35btoG2Ol/z4j4ZMk1tj23pgkkczdNf3urWljcvdWr486dbSxk+FrI/tn9xNtmelW2vKtNA27zl8h1s7v/cit1Yo5+e1PQAwTZZdR/ofiwVhEScAkIEfY8KihFj8SYmc2wCgOevHubA4iCnSh1iUBgDkSMRC2vxzQmOm2a3F7VsWz5NN+7EOHXXdbo1F+gB8P7DjLEXiWorBj/4AgBVNq91amUSV8EfCq+252ufGuHMJoytkIiIiIgnTgExEREQkYRqQiYiIiCRMAzIRERGRhGlAJiIiIpIwDchEREREErZoYy8qIWDamb68tXOru1x/fj9db2vOny79k0O3uLULl1xC1ztSHHJr24cfcGss2mLrmy+nbY5/+xG39vIVr3RrT4/vdGurmtfSNr+04wtu7Y3r3uzW9k/6cRCnNK+jbW7uONOtBTLVekXTKrf22PB22qbX9wBgY7sfVXLDk990a2d2nkPbLFb8qeFsWn192o/oMCc6ZkY5+FPKJ0jURguJHehrXEHbLM3zcbL9U5fxIwkAIJfyIwI6rcetsTiI/ik/fgcANraf5tZYbEhdusGtlclyAH+cFfjRHw0p/6WELQcAIMdgHYmKYDE5Kfj9AOD7gUVJ5EhUBIt5ibbJ395Myo/wYNuaIv09br0ZFs9AaqzvAUBD2t8PGdJP2Lk4rgvlS34cCXs+vWgsIP5xLnMiZLJkn8fRFTIRERGRhGlAJiIiIpIwDchEREREEqYBmYiIiEjCFmRAZmZXmdmnzexWMxs1s2Bm/qe3o2UuMLMbzeyImU2a2QNm9n6zmE8pioiIiCwyCzXL8loAZwIYB7AXgD+NDICZXQHgawDyAL4C4AiA1wL4cwAXAnjjAm2XiIiIyAlvod6y/D0AGwC0AvgtdkczawXwdwDKAC4NIbwnhPBfALwAwO0ArjKztyzQdomIiIic8BbkClkI4Ycz/2bZMFVXAegBcF0I4e5Z68ib2bUAfoBoUPfl49omBBSc3CGWlVWo5Ol6MyTTpDXX4damy1N0vfsmdru1ze1+jlYxFN0ayxkDgOZXb3ZrEzc+6tb6Gpa7tanSBG3zTev8sfaOUb/NdrJvWQYNAIyXxtxaZ52fIdU/ddCtbWr39x0ANGVb3Fqp4md3Xb3parfGMq0AYCB/yK215zrdWgh+yE8+pt+2ZUmfp9vrnyfGCn4mH58ofgEAACAASURBVMDzgTrquumyHpbFBgBHpvvdWnvOb7NC9u2ShmW0zQA/l6lCamWy30cKR2ibLIeM5WyxrKcJcvwBwJ7xXW6tt6HPrbE+HddvWb5eNu3nSLGsLJrrBWCq7J+njBwPE6Vxt9aQ4f2WPZ9DhQG3xo4HlucHAAN5/1hpzba6te56/7lmeWoRv16q+K+RKXIc3X34DtriOT0vjNmmY5fEh/pfWv39nRq1WwBMArjAzPyeJCIiIrKIJJHUv7H6+/G5hRBCycyeArAFwFoANA7dzO5xSvQzbCIiIiInkiSukM18Z8qIU5+5vf152BYRERGRxJ2I32U582Y6+WKr6h1COLvmCqIrZ9sWcqNEREREnitJXCGbuQLmfbtw65z7iYiIiCxqSQzIHqv+3jC3YGYZAGsAlAA8+XxulIiIiEhSknjL8iYAbwfwKgBfmlO7GEAjgFtCCHyO/1HwpiiPFv1p9Y1pf2o3wKfcl0mcwfYROj8BZ3bVfPcVALB3Ypdb+9ngz9zay1e8krbJoi2aLvPnRdz9z191a0fyPLJgTesat7apfatbY1ERmRTvxg8N+fvokaGH3NoFSy52ayx2AODvt++ZeMqtrWv193vcdPPu+iW07ikHf9/WpxvosizWIUumqudJBEA65vlsz3a5tfHiqFtjU+fZ4wCArjp/37I4g7p0vVtjUQdx28T6/ETRj5lgMQgA0Jz13rjg8RV7xv0+vbZ1o1sDgHWkzuIpUuRLXZoyfuwMwI8lFjdycHLvvJYDgL7GFf6y5LluzDS7tSkSiQEATSRmooG81uVIjElcH2pr9aNwJkksUolEOGWMx15Mkv3A1tuS9T+qfl7vhbTNh4buq3n7VEzkCpPEFbLrAQwAeIuZnTNzo5nVA/ho9b9/ncB2iYiIiCRiQa6QmdnrALyu+t+ZdLcXmdnnqv8eCCF8EABCCKNm9l5EA7ObzezLiL466XJEkRjXI/o6JREREZFfCgv1luULALxrzm1rqz8A8DSAD84UQgg3mNklAD4E4A0A6gHsAPABAJ8KLA5ZREREZJFZqK9O+giAjxzjMrcBuGwh2hcRERE5mSXxGTIRERERmUUDMhEREZGEnYhJ/Qsim8pimTPNmE2lLpEIAABoSDW6tYH8Ibe2Y2QnXe85PS9ya9uHHnFrrznldW7t6XHeZl/DcrfGoi3Oedub3NrgN2tPBZ7x0BE/gqKnvs+tPUFiQ04jcRkAsKl9i1sbyPe7NRZLkI6JLHhi1N/ejW2nu7Xxop+HzCIJAKBQ8ZNiWLRFLuVHM7CoAwCYJlO8W3Odbo0dg/Xmb0/UZt5vk0xjZ5E10xV/nUDM14aQj7ymSTRDXIxJivy9zGNg/IiAewZ+Sts8j5yHWB9a2ezH2cQpkOeTxTYcDzP/+GXHPY2WIesEeF+YrpDIB/J8NmR4TBOL4kjNM1LkwOQe2iaL92gk2ztGzn2NGX97AL5vc2k/pmO4MOjW4qJTep2+wOJ+4ugKmYiIiEjCNCATERERSZgGZCIiIiIJ04BMREREJGEakImIiIgkTAMyERERkYQt2tgLQwq5dO3p82y67/bBu+h6t3Zuc2vddb1u7U3r3kbXOzQ94NbO632hW9s1tsOtrWpe69YAYKo04daO5IfcGou26HrtWbTN/n/zp92zGID1bae5tTv7b6NtXvHp/+HW/uWaa91a/5QfibG2dR1tc03LerfGptw3Zprd2kjhCG2zNdfh1rLIubV8edKt1acbaJtsanieRGIcmtzv1voa/TgWgE9xH8gfdGssAqCLxRkA2Dn6qFtbTZ5r9i1wlVChbfJYAr9m5k+7P619M20zm/L7iZF+smf8KbcW93yyaAsWQcGOo7hv35vvd/OxGJhcyo9XAICM+S+3dc5rFQCUSCQGO8YAIE3aZM81i9BZEvN8suOMnePHi6NurSHN4z0y5LGw8xvrX3HP53Ch9mtkmUTSxNEVMhEREZGEaUAmIiIikjANyEREREQSpgGZiIiISMI0IBMRERFJmAZkIiIiIgnTgExEREQkYYs2h6wcyhgtDtes9U8dcJe7eQ/PtOqo63Rrw9N+dlcmxXf1pvatbu1rT37Frb1x7Vvd2pd2fIG2+aZ1b3Fra1rXuLWHjvzMrbGcMQDoveI8t/atv/+0W9s37udWvWPDu2ib11/zYbe2pfN0t9aR63Zr0ySnBwAG8ofc2qEpPyurr2GpW2uv66JtDpI2Myk/m4rlYWVzfr4PwHOZWAZSb0MfXS/Dcsg66vznjOUjsTwiAFjbstGtsWN7eHrQrVXAc8jqUn42VUPGz2Wi2Uppnq2UJo+lLeef+1itUM7TNln/Y/u2HMr+SmNyyFgfYvlmLDOtwrYHPGermax3ojTu1uJyAlnWWCn4eVksM43losW1yc4JXSTHMw7LN2Pbw/Yf6wcAsLxx5TG3F0dXyEREREQSpgGZiIiISMI0IBMRERFJmAZkIiIiIgnTgExEREQkYRqQiYiIiCRs0cZepMzcKa1LSLTAe7b8Gl3vnvFdbq23YYlb68jxyIKdo4+6tVetvMytsam5b1z3ZtrmDtImi+HoqfcjC9j0Y4BHW7zmN37Hre28/j/c2kjhCG2zu8GPQmjINLs1LzYFAFpzHbzNer8vNGVb3BqLOmARE3HbxKb558tTbs3i/mYj8QLF4PeFurT/OOMiC1isQ4H0v6HpAbfWRuJsAD7Vn0UWzHfKPQDkK35cxJHpw26tnURQsNgBgMd0sO0tkwiPhnQjbXOqNOHW8mW/LzSSY5dFOkRtTrq1JrJeZjom3mOSxFe0ZNvcGtvvcREULFKEHYMsIiZjfoQOADx45F63trFts1tLkXNUXKQIw+JRWD95fOQRut6VTafMe5s8ukImIiIikjANyEREREQSpgGZiIiISMI0IBMRERFJmAZkIiIiIgnTgExEREQkYYs29qISgjudn00L3zW2g66XRWakU/7uHI6JZmjO+FEIbFk25X7/5B7aZjuJSShV/OnAT4xsd2vr206jbe4b3+/WWLTFuqte7tYO/dtPaZuNmSa3VixPu7UcmRaeivlbhk21DvOcin5oyt93cevtqPOjP1ib5Zj4gCbS/9iU+93jT7q1rnp/WwGgQiIW6knEQl/jCrpeppTy98PByb1urauux60VA48sYHEHGRpf4ceCxEVtFEj0ADseJoqj/kr9VQIAxoojbo2d31jfzKR4NENLyo+ZYMdRjqy3kubRDCxOY3C6363NNxID4McKi8zIpevcGju3AcBpHWe4NdZvD03tc2tsH8Stt47sowKJKol7LWPRKfOlK2QiIiIiCdOATERERCRhGpCJiIiIJEwDMhEREZGEaUAmIiIikjANyEREREQStmhjL1JmqE/VnqZdqBTc5brre2PW68/hZlOQD076U3oB4MDEAbd2/pIL3RqLFjileR1tM0+m7WZIhMdp7Vvd2p39t9E237HhXW5thMR7sGiLJVecR9t89F/+3a1Nlf19MFmacGsPjt9H2zy/9yK3xmImjEQWdJHoCgBoJNPqWZ9n21MJ/nIAME2mjU+V/f3X29Dn1iZL47TNlmy7Wxsn8Qu5VM6tseMaAPZM7HJra1s2uLUSibYok2gZgPeFXMqPJZgojbm1JhKvAwB1Kb9NFlXSRKJlWL8EgCUNy90aOz5ZNE8JfN8GBLeWJdEWRs637HwKAK0kZqi7folbY+f4OCzWgcV7FCp+HFBcHxotDrk1FkfSnutyayy+AwDM5ndt6WdH7nVr5/ZcQJcNMds0H7pCJiIiIpIwDchEREREEqYBmYiIiEjCNCATERERSZgGZCIiIiIJ04BMREREJGEakImIiIgkbNHmkAFAxcmayZn/sG8/7OddAcC5vS9ya4P5Q25tTct6ut7u+h63Vqr4WUa7xna4tc0dZ9I2x0le0UNDP3Nrm9q3uLUrPv0/aJvXX/Nht9bd4OdsNZKcI5YzBgCb3virbu0nn/+CW5sguULn9ryQtmnm5zkVSn7GD8sE2z+5l7a5vGmVW2tIN7o1liXWkPGXA3hGEnss9w/e5dbWtPD8vEoou7UmknnFMq3qST4SwPMJp8tTbo3mI5E+AgB5sr0gGWXN2Va3xrL+orX627u0cYVbGyDnvmmSaQXwvsny1lgOVJZkzgFAmfQhVmP7j+33aL1+NloI/n73E9OAiZKfuwcAdSQbs36euYXs3Ba16R/3dU42KAAMTPt9qLd+GW2zSPL+Rgt+LtqZXWe7NfZ8AcCe8adr3s4y3OLoCpmIiIhIwjQgExEREUmYBmQiIiIiCdOATERERCRhGpCJiIiIJEwDMhEREZGELdrYi3IoY6w47FT9icSrWk6h6715/w/c2nm957s1Fg8AAJ11/rT6IpmCvLZ1g1sLgU2YBjrr/KiNR4YecmsD+X639i/XXEvb3NJ5ultrINOwi2V/KjGLMwB4tMUFV7/DrY3fuN2tTRb9yBCAP9/plH/YGYkzWEZiBwAgQ+Jc2D7aNbbTrfU1LqVtMq25Trd2WvtWt5aNiaA4Mn3YrfXU+9ubI9Px2X4HeOxKytJujUV0pGL+Hs5X/Gn3LHpgsjTh1lgMAsAfS9b854VFHaTJOgFggsTvsCgJ9jjT5FgA+PPNekI9iejIkP0D8L7A4lECOZfkSIwEwB/nnf0/dmurW9a4tbgIioa0f6wE8trbyM7/5DUQ4P2W9Xn2upIhxzzgn6fiziWMrpCJiIiIJEwDMhEREZGEaUAmIiIikrDjHpCZWZeZ/YaZfd3MdpjZlJmNmNmPzew95rw5bmYXmNmNZnbEzCbN7AEze79ZzAcORERERBaZhfhQ/xsB/DWAAwB+CGA3gCUArgTw9wB+1czeGGZ9wtzMrgDwNQB5AF8BcATAawH8OYALq+sUERER+aWwEAOyxwFcDuDbYdZ0EDP77wB+CuANiAZnX6ve3grg7wCUAVwaQri7evuHAdwE4Coze0sI4csLsG0iIiIiJ7zjHpCFEG5ybj9oZn8D4GMALkV1QAbgKgA9AK6bGYxV7583s2sB/ADAbwE4rgHZRHEctx+8vWbt4mWXuMt11/vxEwDwyhX+dOBxMn37sZGH6Xq/u+uHbu0Pzv6vbu3BI/e6tRVNq2ib/VMH3doFSy52a2xab/+UH4kBAB25brc26saU8MgCNv0dACZKfuQDi7Zovuw0t7b9qzfSNpeSiIrHhv1IkT3je93auT3n0jabs21ubYJERWwiERQpMh0fAKbLebeWS+Xc2iSZxn7PwJ20zXN7LnBrLFqAxYKw6AUAQEyEjKeJxDaMFobosmyqfz2Zyt9ApuuzeAUAmCLH0jSm3FoXie0phSJtM0NiTvLk2M2l6uh6mcnSuFtjER6sxiIdAL7veSySv95cmu8D9jjP6X6hvz3wt4fVAOCn/be5tfN7L3JrTZkWt8aibgCgPdfl1rLkPMTOUeWYx3lK89ra64x5Tpjn+kP9M0fi7ECdl1Z/f6fG/W8BMAngAjOb/6MSEREROYk8ZwMyM8sAeGf1v7MHXxurvx+fu0wIoQTgKURX7moPP0VEREQWmecyqf8TAE4HcGMI4buzbp95X2XEWW7m9va4BszsHqe06ai2UEREROQE8JxcITOz9wH4fQCPArj6WBev/p7fhzZERERETjILfoXMzK4B8BcAHgHwshDCkTl3mbkC5n0CuXXO/VwhhLOdbbgHwLb4rRURERFJ3oJeITOz9wP4DICHALwkhFBrGt9j1d/P+lbs6ufO1iCaBPDkQm6biIiIyIlqwa6QmdkfIPrc2P0AfiWEMODc9SYAbwfwKgBfmlO7GEAjgFtCCP7XsB+FllwrXr7iFTVrbHryeHGUrncw70+/3T3+tFtb0rCErveq9Ve4tYmiPyW/Led/1O6xYT/SAQA2tW92axWyj9Ik9mJt6zra5nTFf1pbcx1uLUX+dnhw/D7a5rk9/vTuSbJvWbTFaW+6jLZ54N/ucGsb27a4tVXNfqwKizMAeL9uI/v2wOQet9YVEwPTSLapVCm5tfp0o1s7s6vmhe+fOzS1z621kOiPBtLmrrGdtM1lJMaETasvkP6ejZkez44HFj3D+kFcjAl7LCzygT3XFvN3f8p/KEin/C9uCSQqgtUAHoGSIl8Ww2JB2P4BgDRp08zfCeWKH+UyGfN6lU6xNv3nJQN/HxRjYkx6yWtdvuxHp7D4E1YDgKmy/7yU2Xko458T6lL8+ZyGv975WpArZNVQ108AuAfR25TeYAwArgcwAOAtZnbOrHXUA/ho9b9/vRDbJSIiInIyOO4rZGb2LgB/jCh5/1YA76sx2t8VQvgcAIQQRs3svYgGZjeb2ZcRfXXS5YgiMa5H9HVKIiIiIr8UFuIty5n3WNIA3u/c50cAPjfznxDCDWZ2CYAPIfpqpXoAOwB8AMCnZn/vpYiIiMhitxBfnfQRAB+Zx3K3AeAfxBERERH5JfBcf3WSiIiIiMTQgExEREQkYRqQiYiIiCTsufwuy0SlkEZTpqVmbZJkljRnW90aADRm/Hybew/f69bO7jmfrjdrfs4KyzJqJDkq02Ue5daUrb1/AP69VU+M+vlma1rW0zYH8ofcWne9n19TDn4Wz/m9F9E2WcZPheQVLSXZUyxnDACWXuFnn+361x+6tcNT/W5tc8eZtM1ipeDWJkvjbm0lyT6Lm18zXc67NZbZxPJ/2LEAAH0N/vMyUfJz5UrBzw3a2H46bZPl1bHss4F8rWzsSLHC85yQI1mAJF+K7b9x0g8AnkPGjpUAv8aWA3h+F+vTLN+M7R+AZ42xHLc0WY5lLAJAfdrfXnZ+YxlcLKsO4MfDBMkwayKvg6OFuV++84tYliLLYmNas/yrrWn2HuknbLnhwiBts8XZJpYRGEdXyEREREQSpgGZiIiISMI0IBMRERFJmAZkIiIiIgnTgExEREQkYRqQiYiIiCRs0cZe7BzZjdd945qatS09Pe5y7936DrpeFgNw8bKL3drQ9ABd70TRn44+mPen36ZT/jTsje2baJulih8DsGfiKX+9bX5EAIuYAIBDU34MAI3hIFPn2bR5ACiU/OnobHr8Y8MPubWNbVtomyzaYvWVL3Frt173T/PaHgBY17rRreXIPto/sdut9ZHoDwDIlyfd2khx2K0NF4bcWnd9L22zMdPs1g5O7nNrPQ19bm2cRAAAQE+9v+xo0X8snXX+uWbv5NO0TTYlf7o85dYOTvv7YFXzWtrmIIml6WlYSpbzz1HsuAb4uXEwf9it9TUud2uN5vcRgD/fLPqoQp6ThrQf5QLwCA9WS5P1sigXgEcwsOiZKXJce3EPM7YPP+jWTmvf6tYKZB/E7dtSXISMg8VwxL2ulJ19fzxfxK0rZCIiIiIJ04BMREREJGEakImIiIgkTAMyERERkYRpQCYiIiKSMA3IRERERBK2aGMvljf34OMX/2bN2s6Rne5yo4URut71bX6UxM7Rx93a5o4z6XofHrrfrW1o9+MM9k7scWs3PPlN2ubVm652a+ta/cc5XvT3EYskAIA+MnW+LuVPM2ZTkNnU7uNZds/4Xre2qnkNbfPwVL9bY9EWL37nu9zawX+7k7Y5Rp6XO/vvcGtndZ/l1uKnk/v7rzPX5daas21uLU8iHeKwKIRcqs6tsWMXALrrl7i15owfkwASA5M2P7IGAEZINEh9usGtddZ1uzVvqv4MFm3B4inYcqxfAkA76ScsYiFDImviYkxYXEsllN0ai49hMSXRev3oHha1MV3Ou7W4x9mW66B1D4uZKFT8GCEAWN64cl5tsmijiZjHeXBqv1tj54SWLHtt4LEXZrWvZ8W9HjG6QiYiIiKSMA3IRERERBKmAZmIiIhIwjQgExEREUmYBmQiIiIiCdOATERERCRhFsLxfDf5icnM7tn6gq3bvveTG2vW02Qcyr5xHuDTxttynW6NTekFgPHSmFsrkm1qIfEBTZkW2iabvsymcLN4ipHCEdommzY+WRp3a+NFf/90kWn+ALB/0o+vWNa4wq2x+IW2On+qPgBkzJ+S/9jwQ/72NPlTxvuuOJ+2OfbtR/ztIREBjw4/6NZOJfEnAO8nR6YPu7Wv7/yGW3v7xrfRNlmfZzEdLHYgm8rRNneMbndrubQfp9Fd1+vW4iJiyiR+gR0rafJcl2LOb4emDri15U2nuLUjef+57iWRGADf9x+76xNu7dKVL3Jry5v8qAMAWNW81q2x42E5OT5TMTEmjZkmt7ZvYrdbW0kidh46ch9t8/ROP9JmqjTh1lhUye7xp3mbJOJp/6Qf08T6V1z8DjsnPDTk7yMWX8RedwHg8eFHa97+n371fXjiwR33hhDOpiuoQVfIRERERBKmAZmIiIhIwjQgExEREUmYBmQiIiIiCdOATERERCRhGpCJiIiIJEwDMhEREZGELdocsjPPOnPbLXfeXLNeKOfdZVk2F8CzvdIkh4ZlWgFALuVnGcHMLVVIVlEqZrx9OH/QrXXXL6HLeuLynAbzh9xaa67DrY0WhtxaZ10PbXOqPOnWWF5YXbrBrbH8LYBn2Bj855Pl/7CcOwBoefVmt/b9f/xbt3ZW9zlurSHdSNtk/Zo9zkLFPwabM620TZb3NFL0+0kTyf0amh6gbbJ9z/rQ/YN3u7WGjN+/AOC09jPcGstFO6V5nVvLpLK0zbjsJQ877nePP0mXXUqyANn2sP3OjnkgPjPMbZPsP5brBQA7R59wa+f2XODWbj1wk1vb2uVnfgFAoey/nrHz7STJxewk2XoAP+53T/h9oYe85sS9lh3K+/l5LVn/fNKe8/Mk487xnovOuxj333e/cshERERETkYakImIiIgkTAMyERERkYRpQCYiIiKSMA3IRERERBKmAZmIiIhIwvx5wyc5q/7UcoRMca9Lk/gJ8MiMXLrerTWTqbcAMFYYdmulUPKXK466NRbDAQDtMTEKnjLZnix47AWbNs62t6Ou260VYqbqs+gGNj1+YvqwW2sjU8YBYLI07tZYP7mz/w63dtmqy2mbLNriV37t//Hb/OKX3NpEkU/lz5Ln84wuf9Z3quL/LThZ5m2Okz7PYnyaaWQNPxWOFI64tS4yXX9r51lubcfoo7TNwel+t8ZiG8ZL/v6h8ToAGkk0yFjRP0eZ+c/nwUk/kgAAVjWvdWssVoVt677JPbTN7no/uoFFz/Q1+BEddTn/uAaANS1+RBHDzm9xsVX1Gf/cx/rfmpZT3VqKPNcA396haf84Wtq40q0dnuJ9qJGc49k+miDnkgbSvwAgk6p9ziApVbF0hUxEREQkYRqQiYiIiCRMAzIRERGRhGlAJiIiIpIwDchEREREEqYBmYiIiEjCFm3sRYA/3ZVN2x0t+FOeAWA4DLm1JY3L3FodiToA+LTxI/lBt9ZR50dX1JOpwAAQQsWtsWiLXMp/LHkSIwEAFdImm+LO9l/cvp0mUSW7xna6tU3tW93agZhp9Sub17i1/RO73dpZ3X5MwqPDD9I2z+o+x62xaIvz3/5Wt7bj+u/TNs0NlwGmSn58xY6Rx9zaGV3baJtNJL5i9/iTbo31L4uZq95V50db7J3Y5dZWNK12a5s7zqRtTpL99/iwH1nAIh3ijhV2/NKYCdKnT2lZTdssVYpubTDvR89Ugh8jsaZlPW2TxRc1NvjncfbaUahM0za76vznhUW5LGvyt+fhIX5OWNLg99sWEsVUrvjn/7jz0Kmtm9wae72aLpEIIhIjBABtJDLjgcH73NqLllzs1h4beYi26cW1sNe4OLpCJiIiIpIwDchEREREEqYBmYiIiEjCNCATERERSZgGZCIiIiIJ04BMREREJGGLNvYCCO606GWNq9ylWNwDwKe0sgiAQqVA18um8rfl/OnAbdkOf3vIFG2AxwDUpxvc2kRpbF7LAUA2l3NrRv4+YM9LJfB925Dx4z/6Gpe6NTbFvYtECwB+5ErU5gq3xiIAeur7aJspS7u1iSKJoCDRFqde9Su0zcPfuNutBfj74Kzu89zaSOEIbfNbT3+L1j1XrH6dW4uLu2H1ehIlwZ7PqYr/nAA8NmRbj7//2DF49+HbaZtnd7/QrX39qX9xa48M+vExH9z2ftrm4fxBt7a2dQNd1rNv4mlab8w0ubVyyY/T6Mh1zWt7AP4awCJFljT45yhWi7N/cq9by6aybo3FAQHARNF/fRjMD7i1pSS6YkXTKbTN0cKwW9vS6W/vUMHfnrg2vT7EXjfi6AqZiIiISMI0IBMRERFJmAZkIiIiIgnTgExEREQkYQsyIDOzPzGzH5jZHjObMrMjZnafmf2RmdX8FKSZXWBmN1bvO2lmD5jZ+83IJ5NFREREFqGFukL2ewCaAHwfwF8A+CKAEoCPAHjAzH5h+oSZXQHgFgAXA/g6gL8EkAPw5wC+vEDbJCIiInJSWKjYi9YQQn7ujWb2MQD/HcAfAvjt6m2tAP4OQBnApSGEu6u3fxjATQCuMrO3hBA0MBMREZFfCgsyIKs1GKv6KqIB2fpZt10FoAfAdTODsZl1mNm1AH4A4Ldw3FfKzM3huvXATe5SL176UrrWew7f5ta29Zzv1gLJLwOAQph2a9NlvzZOMsHiMtVYhhnLW5sm+WUsTw3gGWYg2V1N2VayPV73i7DHwrD1shyjuGXzZT9XDiTLLq5NlivHcoVYfh7LGQOAnsvPcWtT//64WytX/L6ZI7leAPD6NVe6tbj+5xmcPkzrPfVL3BrLkGKZanH98o9u/6Rbu+ast7q1hrSfu3dOz4tom3sndrm1C5de6NYuX/16tzZeHKVtslxI5omRR9zaqua1dFl2rBRJXhjL1mPnL4Afgyy7qj3X6dbKTtbmM3X+GuBhmWAsYxEAGsh5akPbaW4tX/LPi3Ux54SOum63xs5vuXSdW2PZZoC/H2J2D/Vcf6j/tdXfD8y6bWbE850a978FwCSAC8zM31MiIiIii8iCVG0P1AAAIABJREFUJvWb2QcBNANoA3AOgIsQDcY+MetuG6u/n/XncwihZGZPAdgCYC2A7THt3eOUNh3blouIiIgkZ6G/OumDAGZf2/8OgHeHEGa/H9BW/e19F8nM7e0LvG0iIiIiJ6QFHZCFEPoAwMyWALgA0ZWx+8zsNSGEe49yNTNv+Ma+ExtCOLvmCqIrZ9uOsj0RERGRRD0nnyELIRwKIXwdwCsAdAG4blZ55gpY27MWjLTOuZ+IiIjIovacfqg/hPA0gEcAbDGzmWkQj1V/b5h7fzPLAFiDKMPsyedy20REREROFAv9GbJallV/z8zPvQnA2wG8CsCX5tz3YgCNAG4JgeRAHIVKKGOyNF6ztqVzq7scmw4NAOeSaeOjRX+abEuWfyQuk/KfCjZdmk0xnoiZbj5d8Xcxa7OVTMOO239p8x9nMfjTzVlEwFR5grbJpkyzx5JL5dxaicQ2AMBUyd+mEdJPOnM1v9gCAHAkJpqhlcSYnNFV8919AHxb6TR/8GiLhl991t9cP8fiNFiMBAD8+OAP3VqG9K9f/8KfurWHPvB12iaLeimRaIFmEtdSIHE2APCZl3zcrbGYBBYpEtdmd12vW8uS4+HBofvc2lih9nl4xkV9l7q1gfxBt7ayabVbY88JAGTY+Y2cq1kkxjCJOAGAzroetzbhvFYBvE/Xpxtom7mUH1ZQrviRGd/Z/S231tfoR8AAwNbOs/w2SUzHY8P+HL4zuvx1ArzP15F9xLZnpDBE2/ReV+LOmcxxXyEzs01m1lfj9lQ1GLYXwE9CCDOP7noAAwDeYmbnzLp/PYCPVv/718e7XSIiIiIni4W4QvYqAP/LzG4BsBPAIKKZlpcgiq44COC9M3cOIYya2XsRDcxuNrMvAzgC4HJEkRjXA/jKAmyXiIiIyElhIQZk/wHgbwFcCOBMRHEVE4hyxj4P4FMhhF+4lhtCuMHMLgHwIQBvAFAPYAeAD1TvfxxZtyIiIiInl+MekIUQHgJwzTyWuw3AZcfbvoiIiMjJ7rn+6iQRERERiaEBmYiIiEjCno/Yi0SYmTtNuyXd6C63Y5R+fSbWt212a2wqeoFETADARMmPqGDTzStk2m5L1svenWFuJV+e9Jcij/PQ5H7aYm/Dsybk/hyLp9g97sfSsXUCwP2Dd7m109r9CJRJMsW9nvQhAKjP+PVhMp26mTxnX3x8bkrML3rrhje7tVTFf852jDzm1s7qPo+2yaabs2iLnsvPcWtj336YtnnBkkvcGjsG73zfGW7NPxIibHr80yP+OeOU5rX+So23Wijn3doTo4+6tZ56P7qio67brQE8foGdhza2bXFrjww9QNs0sh8mSCTLZMk/R/XU83NCmsQM8fgi//hk0TwAj9r43q7vuLXXr7nKre2f3EPbZPEfK5tXubW1rae6tUnynACg/Xog3+/Wtna+wK2x6A8A9NLSo8MPurVTmte4tQZyDgeAQeexlCpFuhyjK2QiIiIiCdOATERERCRhGpCJiIiIJEwDMhEREZGEaUAmIiIikjANyEREREQStmhjL8qVEo5MD9Ss9TUsd5fbQKZvA8A0mYrekm13a/cN/JSu98DkQbf2ypX+FxocmNzr1voaV9A2x0j8ApsWXm9+PEVfo79vY5FvzOqq96frT5Kp+gCwpmWdW8uSqej3DNzp1s7sOpu2mTV/vd0kliBfnnJrb9/4NtpmY7rJrU2W/anqZ3Rtc2sjhSNuDQByJKqkMdPs1li0Rcur+TE4/u1H3BrrCyyy4Mj0Ydpm2tJubSnp89l0nVvrn+IRMduH/Md5Yd/Fbi1NIgJYfAcADJL9sKrJjwgokoiYuOgUFhfRlPH79L4J/9y3pGEZbfO6R//JrW3p2ujWzuo+160ta/JjJADg8NQBf709Z7m18aIfidQZE2NSCn4EQ2u2w61Nk/NQa4O/HACUSdTGk6M73dopzf55mm0PwGNg1rVucGvsWxrvG7iHtnnx0pfWvJ3Fm8TRFTIRERGRhGlAJiIiIpIwDchEREREEqYBmYiIiEjCNCATERERSZgGZCIiIiIJ04BMREREJGHGcjhOVmZ2zwvOesG2H//0lmNetlzxM1QAnkdUgZ+nw/LLACCX8vOKsqmcW5si+VJxJopjbq2TZGWxx8L2T1zdYH6bFb/N+nQjbbNCspdY/lR3fZ9bOzS1j7bZ1+BnwAXM75hLGf/7iR3LB6dYZpOfo/XFJ66jbb5+zZVu7d6Bu9zaBUsucWt+L4g0v3qzW3v4K99ya3f1+9tz2apX0zYnSL4ZOz7bcn5mU4nkNQFAoTzt1pqzrW6N5XqNF0dom61ke9mxMlnyz0MsTw0Azu0936111vW4NfY4nxp7gra5smm1W2PnVPacdNUvoW2OktzHHMmrY8d1U7aFtjlMcgTvOewfDxvb/Sw2dm4DgPGSn5s23/M/6+8AUKr4eWssF4y93hdIth7gP2cXnXcx7r/v/ntDCDyssgZdIRMRERFJmAZkIiIiIgnTgExEREQkYRqQiYiIiCRMAzIRERGRhGlAJiIiIpKwTNIb8FwJqLjxDGUy3ZxNawaA9lwnadMXN22X2T70gFtb2uhHFsRFUHTUdbu18aI/dbk12+7WBvIH590mm2bMoi3YtgJAU6bZrfXUL3VrLC6jJdtG25wo+ZEiByf9yIw+8nzWpxtom+OkTTZ1fvf4k3S9TFPGn3afMf/0wiI8JknEBMCjLba8+TVu7Yt/+VG3djjfT9tszfnH7zCJM2BT7gsxUTgsRoFFp7D9N0RiEAAgS+IX7jx0h1v7X7d+3a1df9Wf0Dbbsn7UxlRp0q2xuJElDf5xDQCjxWG3xs5v7PUhLsakLub49Twx6seGxJ3jN7RvcWvn9vhxI6x/lWLiIBrJ+XaK9M00OV/ERVDsIjEnYwX/vLil4wy3NpA/RNtc3nQKrc+HrpCJiIiIJEwDMhEREZGEaUAmIiIikjANyEREREQSpgGZiIiISMI0IBMRERFJ2CKOvQhubEHW/KnoqTQfo7LpwFOlCbeWy/lTtAE+nXpl82q3li/708KLMVOFGTZdn8VBsP0TVx+aHnBrfY0r3FqOTH8HgCmyj3LperfGYhsaSAwHwKfA9zT0+duT8mMHKqFC22TxHs0kniJfnnJrV6x+HW2T+fUv/Klbu/N9/nTzuEiRu/rvcmss2uLt11zr1iZufJS2OUGiVZoy/nPdmGlyayHm+WT1Mvwaix1gcSMA7/OXLnupW+t5RY9b+9ng/bTNFy250K2x2Av2WNhxDfDnJUeiPxrIcqyPAEAd2aanxna4tVPbNvnrJOeLOMMxESieuPNta86PMWHRHyx+Z12rvw8AYHnjKreWafZfy9jrXEOGn+P98zF/DWR0hUxEREQkYRqQiYiIiCRMAzIRERGRhGlAJiIiIpIwDchEREREEqYBmYiIiEjCFm3sRSWUMVYcqVnrn/K/xb01x6fc99b7kQVsGvYuMq0ZADrqutwam4qeJrW6DJ/6XU+iG1jEwnQl79a66pfQNg3m1trqOumynpSlab2eTG1m2zNRGnNru8Z20jY3tp/u1sbJ9Pido4+7tbO6zqNtHs4fcGusn5j5+2C0UPsYmjE4fditPfSBr/ttknUeIesEgMtWvdqtHc73uzUWbdF0GZ9Wf/gbd7u1ejKV/9DUfre2d3wPbbOz3j8eQvCn1i8jETEWE3vx+Mgjbm1p43K3tqZljVs7nnMCwyJihguDdNnP/Ozv3Nq7N7/VrS1pWObWGrI8JmGo4Mf6rGlZ79bY8VCsFGmb7Phd3bLWrTWQ6JR0zHUcFjN0YHKvW9vQtsWt9ZPjCAA+/+iX3dqvrn6ZW9vccaZb2zn6BG3z/N7a/ZqdT+PoCpmIiIhIwjQgExEREUmYBmQiIiIiCdOATERERCRhGpCJiIiIJEwDMhEREZGEaUAmIiIikjBjeTYnKzO756xtL9j2k5/eVrM+VfJzUlimEAAE+PurFEpurVieputlWVp5kuvC8sLach20TZbV01XnZwdNlifc2r6Jp2mba1s2ujWW+9WQaXJre8afom121/e6tUay3jzpJ4VKgbaZJs9nI8n4Yf1r9/iTtM1VzX6u0EjhiFtjOVHHs29ZvlQ5lEnNP44AYLrs5+BlUiSXL+Xn8sXlc/Vcfo5bG/nWg25t3+Ruf50x+Vysn7CspwaSL7hjdDttc33rZrf24NC9bu3UVj/HrS7N8xArpC+w44zlM7I+AgAtWT9vslDxz9UZkmlYiskEY8uy8wV7jWbHEQBMkXM1W28ulXNraXKMAfw1aSDvZ4D2Nix1a4MkXxAAukk+KMsFe3z4YbfGsiQBYMLJk3z5Ba/CA/c/eG8I4Wy6ghp0hUxEREQkYRqQiYiIiCRMAzIRERGRhGlAJiIiIpIwDchEREREEqYBmYiIiEjC+PzVk1glBHfqM5tWz2IHAGA/mcbenGlxa6PFEbrexow/Vb2zzo8WYNvTaT20zfZct1tj0+pBpkuvbllP22SxBM3ZVrd2cHKvW1vbsoG2OV2ecmssboTJkmnhAJ9WP1occmvNGX8f5NJ1tE0WA8CiLfZO7HJr9TGRBSyagcXAPD3ixy8sbVxO22T7frjg79umjL89cXE3LNqi7TVb3drT/3qzW4vreyy64anRJ9zaquY1bm1186m0zYH8Qbd2esdZbm3n6KN+my28zXEnPgDgURIddf75rZ6cTwH+GpAmx9HwtB8V1JT1z/8Aj/e45/Cdbm1b97lurRgTtXHfwN1u7UVLXuzW2KtgnpxPAR7h0V7X5daGpgfcGnttAIBiTAyRZ02r/3oV9zi98xCL2YijK2QiIiL/t707j5LrLM9F/7w1dlX13C2pNU+WJVmSZzzIeMCEyWAz2Vk+TIEEcuAQcpjuOWflQICQk4RLEiDOzeRwIEAucDE3IYAZbjDYDLbBg7CNR9mSbc3qubuqp6r67h9VDZ12vc8WrZa21P381tIqu97a+9v11d67vt5V31MiMdOATERERCRmGpCJiIiIxOyEDMjM7I1mFur/3uo85hVm9gMzGzKzUTO728x+60Rsj4iIiMipbN4HZGa2GsBNAEbJY34PwNcBbAfwBQA3A1gB4LNm9ufzvU0iIiIip7J5HZBZbXrBZwD0Afg75zHrAPw5gH4AF4YQ3hlCeA+AswE8CeB9ZnbpfG6XiIiIyKlsvmMvfh/A1QCuqt828tsAsgA+FkLYO31nCGHAzP4EwKcBvB3AncezIQY/BiCVSrvLlcruhT0AQE9uFW3TExWTwKbKJswfNy/Pr3Zrk9UJ2mY1VN1alsQdsGnNgURiAHzaOOujLjLFvRz41G8j/cemohfIVOuovmXxAZ3kuYDsB90k/gQAdvX5U9x3dPqRBasK69waix0AgKHJfrfGpqqvbd7g1tIR8R4JcqSlEv6xnU8V3NrhsQO0zQHyPFm0xdrXXOXWPnvTh2ibL1n9Ure2rmWjW2P7e1SszxCJ52HRIGvI61mu+hETANCW6aR1z+5hPzplZX4NXZad51lkDdtWdi4B+D52Zttmt8aiLarwz+EAsKnNjwRix257xo+niIqIYXEtxfKIW+sgMUxRURIsMiOX9CNQ+shyPRHxO974wuhIgJu3K2RmthXAnwH4VAjhDvLQ6YHatxvUvjXrMSIiIiIL3rwMyMwsBeDzAJ4B8AcRD5/+U+Dx2YUQwkEARQCrzIwn+4mIiIgsEPP1keUfAjgPwPNDCDzeFpi+HuxdGx8CUKg/jsTFA2Z2r1PaErENIiIiIqeM475CZmYXoXZV7C9CCMf1va/pVdZv+ZcdRERERBaI47pCNuOjyscBfPAYFxsC0I3aFbBG3/Ce/iaw/wNndSGEC5ztuhfA+ce4PSIiIiKxOt4rZM0AzgSwFcD4jDDYAGB6CtHN9fs+Wf//x+q3z5n+YWbLUfu4cl8IgX5cKSIiIrJQHO93yCZQi6lo5HzUvlf2I9QGYdMfZ94G4DIAL8Vzoy1eNuMxx6UcyjjqRA+weIWoqcv5VPOcticTMZWfRVCwKb2FVItbOzJ2kLa5LLfCrbGpu1PVSbfGngfAp2mz6dRTJNqiEjGtnkVJJMjfJMOTA24tKpqBTVXfV3rarbFIkZX5tbTNXMrvv93Dj7q1szrOcWtj1SJtk73ekxUSDUJekyMRERTdTctIm/6U+0C2dd/os7TN7Z1+HyXIa8aiLd78ro/QNu/6gh+FsL3jXLc2SY7PqFgfFnMySI4Hdi7ZM/IEbXNdyxlujZ2HWL/vK/rHGAB87GefdWsf3fkut1Yg5/8ciVUBgF29u9zayoLff60ZP4YjKmLh4YGH3dq53f4+xPo2qs2y+edj9n7F4p2i2nzf7R93a3902X9xa91NfpTQWJmf+1rT7bQ+F8c1IKt/gd/7aaQPozYg+6cQwj/OKH0GwH8D8Htm9pnpLDIz68CvZmg2DJUVERERWYjmOxg2Ughhj5n9HwD+CsA9ZvZlAJMArgewCvM3OUBERETktHDSB2QAEEK4ycz2Ang/gDeh9l22hwF8IITwT3Fsk4iIiEhcTtiALITwYQAfJvWvo/YD4yIiIiKL2rz+uLiIiIiI/Po0IBMRERGJmQZkIiIiIjGL5Uv9J4PB3Fyrg6X97nKb2rbS9f740O1u7ZJll7m1CZKPBAD9JGusJ7/Krd179C63trmdP5dAfp2K5Uux7C6WJQMA2USTWxuv+n3EMsqiMmrGK37G8DjJMGN5a62ZDtomMn7fsn4fIllPlYiMvK3tZ7u1vokjbq1E8naisng+dOcn3dpfv+BP3RrLC3uEZCcBwMVL/fyfLpJRxnLIOps6aZssf5Ad2y9Z/VK3xnLGAOCSN7zOrT32lW+7NfZ6bm7bTtvc1Xufv2y7/xPBbN9cVeD5eezYZucTlpm2Mr+atvnJKz/g1liGWU9upVsbmfJ+nrnmkmWXuLUUycZsS/vnGpbPCPB9IZ1IuzW2T+dSedomy1Icq/jbk0n42Y7JBB+q3PyiP3FrKfOXHa/4P709NDlI20w6643K4mR0hUxEREQkZhqQiYiIiMRMAzIRERGRmGlAJiIiIhIzDchEREREYqYBmYiIiEjMFmzsRcISyCQbRyysbl7nLpciU4EBoCXjT39/euRJtxY19ZtNG8+QKdEXL32+W6tGxCRUSfxCikwzLpOoiKjYi1yq4Nb6J47620OmLrPp0jV+LIaZXzueqA02TXuCTLVmbZbKo7TNw2MH3FqCTEV/fPBRt3b+kotom+887z+RNv194Ylhv83Leq6gbTYl/Wn3LFKkAn86egj+cgAwRqJT9gw/4dbWtWx0a9s7zqVtsmiLzTf4cRo//ecvubXJ6gRtk0VbdOd63BqLFIlSnBp2azkSN9KTW+HWLOI8VA3+OaxU9l/rSRKF057tom1WyHmTrZfG3UTst83pFr+WanVr7DwUZc+IfzxsajvLrR0dP+jW+sf7aJtrWza4tQo5V6fJe+uBoh+PBQArCmsa3h+17zG6QiYiIiISMw3IRERERGKmAZmIiIhIzDQgExEREYmZBmQiIiIiMdOATERERCRmCzb2wmAkDsGfKhz1S+0bWza5tTyZos1iBwBgSdMyt8am5E9Wxt1aNmLqcoVMgS9Ojbg1Fg1ixmNDWFxEe6aTLukplv1tBYDmtD+9u1QuujUW0cHiFQAgTfrh0IQ/nboz2+3WWJQGAKxt9iMWRst+tEB301K3FjX9PUciKNg0/yWkzSSJOAH4McqiQdjxuSK/irbJnuea5vVujU2BZ1EHAN83WbTFRa+/0a2NfPMXtM082efZPl01/zUZJzEvAPDwwENubXnBj7ZgshFROCzWZ3mexGmQddJ4CgAHSs+6ta6mJW6tTPaTFIltAIClueVubYqsd2RqyK31T/TSNpeTY6lcnXJrS5r8bV3axPcDdn5jMTksGuqsju20Te94iIpEYnSFTERERCRmGpCJiIiIxEwDMhEREZGYaUAmIiIiEjMNyERERERipgGZiIiISMwWbOxFAFAJjafds2n1bNo8ABRIhAKb7to/cZSut4vEABwk06WX51e7tahp2EOT/W7NjwwB7u39qVvb2n4WbTOT9NfLXhcWv1BItdA22fNk0SAssiBBagAwSvajNc0b3Jq3zwLR+2Yu7U/vZq9nNtnk1u45eidt88Ill7q1yYofq9JB4j2i9tsxEgcxQF5r9pqx1xoAdg8/4tbWNZ/h1lg8StTrubnNn3Y/SSJrWLRFy8u30TaLtz7q1o6MH3Brw5N+TMLqwjra5vlLLnZrE+WSW2NxGlGRP+MVf70rC2vdGotyAYknAoBVpB+GpgbcGgtR2Dv6JG1zS/sOt/bs6BG31pppc2ssJgcAMuR8wrDjIeocPzw56NYOlfyYoeFJPy5jR+d5tM2JauPIqQAencXoCpmIiIhIzDQgExEREYmZBmQiIiIiMdOATERERCRmGpCJiIiIxEwDMhEREZGYaUAmIiIiErMFm0NWrk7hyNjBhjUzP9llRX4NXe+B0jNurYVklDWTGgAMkvykpU3L3dpEpXEWCsCzp6LqzWk/h+Yikj2VTmRom8mEv8sNTvS5tUlLurVsgiX1AEb+7kiQ9bK8q6jnyep944fd2pKc/1ofdvbnaU1JP4csn2p2ayyT6YLuS2ib+4p73Vp31s8rKpLMob6IzL4zWre6tTTJuUuRnLvHhx6mbW7v8DOJescPubWhKT+fq1ydom3u6r3PrW1u3+LW8qmCW2M5YwBQuMZfb9/X/e3ZN+pnJZbzJLsLQJLENpUqJHNuwj9nntHqPw8AeGLI74ccOY76J/1z1NrmjbRNdo7vHfczwVaR96TObBdt8wmyX/fkVri1ppTfByzzC+D7tZfdBQBd2WX+OgM/Vlh2ITseWCbk+374YdrmTVf9acP7ozIqGV0hExEREYmZBmQiIiIiMdOATERERCRmGpCJiIiIxEwDMhEREZGYaUAmIiIiErMFG3uRTmSwsrC2YY1N85+qTtL1rsw3XifAp+ZGxSSMV8bcGpuSv7F1s1urgswnB5Bj0+PLI26tEvxp7Eb6FgDaMp1urSmZc2uZZJNbe2b0Kdrm8vwqt5a2tFubgP+aZMn2AEA1+H3Poi0GJnrdmrc/H4uRKX+qOovE+Jc9X6HrvWz5ZW6N7fOstqawnrbZT2Ix7j58l1u7asXVbm15fiVt88EBP/KBRWKwfXpwcoC2yaItunM9bo3t00fGD9A2WbRF17Xnu7XvfeZmtxYVAxAQ3NoSEvnTkel2a/f23k3b3NDiR1Q8PbrHrW3rONetsegFAGhJ+dFHLS1+zNCh0j63toxEVwBAa6bDrbFzTYHENEWd+9jrzbaHLTc6NUzbHCH1LW3b3doUec/+yKXvpW2G0Hi/de4+JrpCJiIiIhIzDchEREREYqYBmYiIiEjMNCATERERiZkGZCIiIiIx04BMREREJGYLNvYioOrGWyRt7k97sjrh1qKmAzMtaX/acxVPz2l7cgn+PFn0wLNk6vfqZj+WgC0H8NiLConpKJJpzQUS3wEAveOH3Rp7zbqyS91auepHfwC1/c/TN97n1lgkRlTfslgMI1PK9xefcWsP9z1J27xu3avd2oMD97u1zW3b3FpU9EypXHRrH//hv7i1JS9e4tbWt/CojTNa/QiKJ4cfdWtrmje4tajIAhajEEisStX82vDkEG1z3+izbo1FW7zwLW9zawe/5keRAECBxK6wfSFpSbe2pd3fvwCgSvp2a/sOt7Z3dLdb68nx6JRcKu/WRqb814Wdox4ZfJC2uZbsf6WyH1G0v+i/53Q1+edFAMgksm5tojLu1gYn/fPi8vxq2qYXQQEAu8nxubp5nVt7fNBfDgDO776o8baQGJcoukImIiIiEjMNyERERERipgGZiIiISMw0IBMRERGJmQZkIiIiIjHTgExEREQkZgs29sJgyCYaTxdmk1JHpgbpetszXW6tyqaik2nWAFAlW7WpdatbY9EVVRK9AADF8ohb29C6mS7r6cnzqd+TZNpzLulPC4c/wx15Mm0eACZINAibOl8OU27NIv6WYftCId3i1tj096UkEgMAnhl9yq0dKh10a2tb1rm195//btrmKIkjGZkcdWsPDzzg1s5zppNP+8nhH7m1W67/mFv7ed8ut9bVtIy2yaayr2s5w62xeJQ9I0/QNleRGBNmvDLm1lYX1tFly3l/exMkOoVFWyx/5SW0zcFv+PsCi3wYmOh1a1HRKez4LCX8WJX2TIdbO1jaR9vsyfsxJ7uHHnNrhbQf69MTcU7Ik0igrz11q1t71YaXuzUWuQIAKRK3xF6XZSQ2hJ1nAKAl0+rWmlP++RYwt9KT533rHQ/+GqPpCpmIiIhIzDQgExEREYmZBmQiIiIiMdOATERERCRm8zIgM7O9Zhacf4ecZXaa2a1m1m9mJTN7wMzebUa+ZS0iIiKyAM3nLMshAJ9scP9zplqZ2SsBfBXAOIAvA+gHcC2ATwC4DMAN87hdIiIiIqe0+RyQDYYQPhz1IDNrBXAzgAqAq0II99Tv/yCA2wBcb2Y3hhC+NI/bJiIiInLKshBYKtcxrsRsLwCEENYdw2N/G8CnAXwuhPBbs2pXA/gegDtCCFcex/bce+5555z/o7vvaFivkEywRMQnpv0TR9way8xJJ7J0vSyfK530l2XZXVF5MY8N/cKtbSQ5ZGxbC2k/Dwbg+T8TJD+J5XOx/JooLIstlUi7taj9JEPy4Vh+Esu5Y1lYAM/4YXl15aqft3Z0vOE3Dn5pRX4NrXvM/LQeto8AwOBkn1trS/s5URNVloHn5zUBPJOOZSS1ZTrdGssLA4CmZM6tFUmbvxh40K2dv+Ri2maF5Kax/S9NjpWo17P9FWe7NZZRxs5v4+S1BnhWVJb0O8stPDx2gLbJMumW51e5tf3FZ9za2paNtE0jz5TV9peedmtReReZAAAgAElEQVRLc36eGgCUpuZ2Tm0m7x1ROWTsubD35X1F9jx5DpmXLfrCnS/GA/c/eF8I4QK6ggbm8wpZ1szeAGANgCKAB1AbWM3e6qvrt99usI47AJQA7DSzbAjBT/QUERERWSDmc0DWA+Dzs+7bY2ZvCSHcPuO+6Usvj89eQQihbGZ7AGwDsAHAI6xBM7vXKW05tk0WERERid98xV58BsALURuUFQDsAPD3ANYB+JaZnTPjsW31W+8zqOn72+dp20REREROafNyhSyE8JFZdz0E4O1mNgrgfQA+DODVx7i66Q+DI7/c5n1GW79ydv4xticiIiISqxMdDPt39dsrZtw3fQWsDY21znqciIiIyIJ2ogdk01MSZ05hmv5Z+zNnP9jMUgDWAygDeOrEbpqIiIjIqWE+v9TfyKX125mDq9sAvB7ASwF8cdbjrwCQR2125nHNsKyEihuVYOaPQ6OiIlgsAZvSyyIJAB7FkSXjZjZ1nk33BYCluR63xvqIRVuw6ccAkEr4u9x4xf+Umk2JHquUaJsZEjnC1jte9tebTPDYC/Z6940fdWstaf+rk396z/9J23zPeb/n1th+wrZnQ+tz/m46Zr0kMqNYLrq1QopHUHQ3+fvtGHnNWC0K+/4Eiw1hoo6VBDkGc6lmt7a84McSTET0Qanivy5LmvwYALa/R52HWLQFi8T42j98wq11NvlxIwCwrmWDW3tqeLdbO6PNjwNqSXsf+tSwiKKfHG4c0QQAly673K0NTvgRMADQ1bTUrbEYjg7yPvfk0KO0zTPbt7m1Z0f3uLWo44Fh771DkwNurSPr7ycP9f+ctrmhtfE+FDWGYI77CpmZbTOz5zwrM1sL4K/r//uFGaVbAPQCuNHMLpzx+CYAf1z/37893u0SEREROV3MxxWyGwD8DzP7PoA9AEYAbATwcgBNAG4F8OfTDw4hDJvZ21AbmP3AzL6E2k8nXYdaJMYtqP2ckoiIiMiiMB8Dsu+jNpA6D7WPKAsABgH8CLVcss+HWT8HEEL4VzO7EsD/BPBa1AZuuwG8F8BfzX68iIiIyEJ23AOyeujr7ZEPfO5yPwZwzfG2LyIiInK6O9GzLEVEREQkggZkIiIiIjE70bEXsamGCoad2Iue/Cp3uagpq2x6dybpxyuwGAkAaEr5U6JZVETK/Om+ZnwacXvGn/KbMB7rMNc2WbxHnkzlrwR/ijabvg0AAf5rWiLxCywuI2o/MfK3Tk9+pVtjr/VVqy91awCQMn9Z1rdV8ppEeWLoYbe2urDOrZVI/ML+4j7aZmfWn8qfTmTcGouRYK81wPfbjuwSt7Z72P853qhjjMVp9OT8aAuGxZ8AwMBEv1vryHS7tSR5LgMTvbRNFgfBoi1e+bvvcWt3feH/pm2yvn1m9Fm3dnZXwx+HAQBMVMZpm6XyqFtjkQ8sNuTQ2H7aZmrSPydMVvxkKRbhERWFw/aFVeScwN45yuT8DwBj5Dw+Wh5xa82pFre2uX0rbbMpmWt4f4Kch6PoCpmIiIhIzDQgExEREYmZBmQiIiIiMdOATERERCRmGpCJiIiIxEwDMhEREZGYLdjYi3Qii9WF9Q1rLLoiKp6CTUFmU8qjptUnE367VRLbUA7+9O0E+LR6tr0FMh2YifzVK1JnU5tTCT/eoww+JZpFISTnOEU5KvYiSeIr8uZHUIxODbu1lQU/LgMAxiokSqLkT+Vf37LJX674NG1zTfMGt8ZezyVNPW5tWUSkw56RJ8iyy91ahhy7g5N9tM1Mwl+WRdaszK9xa/si+nZlfrVbY+epLDnXZJ2p+tPOaN3i1u7tvdutbWnf5tbY+Rbgz6WzyY/mYdEWl7zhdbTNO7/wz27tlkd/5NZ2dO5wa2zfA4ARcmxfvHSnWzs6dtCtee9x01hc0F2Hf+LWLljyPLfG4nUAHnvBol6q5Jw6Ts5tAHD7wR+4tevWvsatHSaxIV6sxTTvPYlFmETRFTIRERGRmGlAJiIiIhIzDchEREREYqYBmYiIiEjMNCATERERiZkGZCIiIiIx04BMREREJGYLNodsqjqJfcW9DWsd2S53OZaFAgCFtJ/P1ZTwc0vGyjxHpRoqbo1ljTWn29xahawT4Pk/PKvNz1mJSCGjGTWsj1oS/vMMEa2yfmCZMaXyqFuLyuJheTssa4zl7bDMLwAolkfcWnfTUrc2WRl3a/lUgbbJsuxYdhzLafvco/9E23zT5je5teGpQbfGnstf//xm2uaHLvqAW2NZT2wf+tjPPkvb/OSVfptVmtnn921UntMTQ4+6tQ0tG8n2+MdY1DmVpTatayE5d1X/vMhyxgDg0je83q195qY/dGssa4wdCwAwODng1p4e9TPpxsv+8dmRbadtntF2pls7p+tct8ZyM1vIew7AM/2eGt7t1rZ1nuPWsiQHEADe8dm/cWur3unnN/bk/dfzL++/ibb53y98f8P7o96PGF0hExEREYmZBmQiIiIiMdOATERERCRmGpCJiIiIxEwDMhEREZGYaUAmIiIiErMFG3uRTqSxPL+qYY1FHUyRiAkACGQKNwuZyCb5tF0WPcCiNiYrE24tncjQNtNJP5aATd1l/ReFRWYUUs3+9pB+T5N4BSAq9sLHXjMWawHw/mtOt7o1Fh/w6OCDtM3Vzevc2sjUkFvL51a4tUqZR6eweJTWtD8ln8VTbOvaTNscqxTn1GYm6U/lf/NZ/4m2OVn1j7MkiUBhEQEf3fku2ua+oh+FUCIRMcvz/uu5srCWtplL5t3a06N73NrW9h1urZTwXy+An6dYTMIzo8+6tVse/RFtk0VbvOVdf+TWhr5xg1tjUS4APw9dtHSnW+sbP+zWljT1zLnN3vGjbq2brDcqTilPzuM7us53awlyfWhv0d8PAOBTb3yrW9ve6cd7sKig6ze9grY57hyD7L0qiq6QiYiIiMRMAzIRERGRmGlAJiIiIhIzDchEREREYqYBmYiIiEjMNCATERERiZmFMPdfJj9Vmdm955x39vm33fnvDetNyZy77ASJn4hadqziT0XPJvwp91HYK8Sm7bZlOvh6yWt/sORPKe9uWjan7QGAAol8YDJkanw1Yprx0GS/W2si0/xZ7MVYmU/lT5JYjCp9RX0TlTFaz5DtzSZYhIf/d1nUFG4W78FelxSJKmEREwAwMulHZjC5VMGtsegKgEdmDE70ubW2TKdbGyVRJACPzJgkcSMsyiUqCmdfyY/aWFPY4Nb2jvqxBO0R5yEWAzNO9nkWr/D0yJO0zWW55W6N9VHbK/x4j6FvPkTbTJBXhsXolEPZrRWnhmmb7JyQJNdjWLRFlrwHAvx8wrD3jkLKj34CgKPjB91ayvxzTWd2iVtjkT6Afw677KLLsev+XfeFEC6gK2hAV8hEREREYqYBmYiIiEjMNCATERERiZkGZCIiIiIx04BMREREJGYakImIiIjEjM/1Po0ZEm5sAYssYNPxAT4ln0UdHBrbT9e7hEzDnnB+VR4ASuVRt8am+QNAikz1Z3EGMH/6diYi3qNKplOzyJFq0l9unPQPwKfVsynRrA9YJAYATJD9JEeiNlibUdOw2X6dzfjbGxUzQZHolEESN8IiMVYU1tAmM03+PjbXiIBc2n9NAKBcnXJrhbQ/JZ/t71HH5wiJxWjPdrk1FlnAXi8AWNu8cU7r7cmtdGsHS/tom0VyDmPRH+x8wWItAB6nkUz450UWbdH28u20zf6v73JrI1NH3RqLmdhf9OOJAGBrux/Twc4nu4cf89fZcTZt08guNjDZ69a6sn6cEjuOAOBQicRekNfzmdG9bu2siOe5v9g4IibqPM3oCpmIiIhIzDQgExEREYmZBmQiIiIiMdOATERERCRmGpCJiIiIxEwDMhEREZGYaUAmIiIiErMFm0NWCWUMTw40rLWm293lxqt+tg3AM6QMfj7X8vxqul6Ws9KS8bc3Q/KwEmR7AGCs4ud39eRXuTWWt8ayzQBglGRBsUy1QqrZrbVmOmibFZJNxfrdzP97JRnxPJuS/rIsp4blc+Ujcqvu6/2FW1vf4j/PruxStzYZkamTJrl9ndklbo3l/R0d8zOFam1m3BrLbGLZcSwfCQA6yHNh+9DhsQNubVevn0sFAJcsu8StVar+Pn2g5GdTrSqso22y7LiWlJ/nl0v558We/Ara5pGxQ/56yfmWnS9GyHkGAAad9waA561t7zjXrbGcMQDovNZf9sC//sStHSr5GZbbyPYAwC1Pfcmt/caqF7m1Da2b3FrU+0oV/jmsLdPp1lgGIzsXA0Ah7b8/bGzZTNbrPxe2fwFAZ7a74f0sxy6KrpCJiIiIxEwDMhEREZGYaUAmIiIiEjMNyERERERipgGZiIiISMw0IBMRERGJ2YKNvTAzd3o8nZZa8afeAsBkdcKtZRP+tHoW9wDwKfnVqr9NNIKCRAsAPKYjkPiFieqUW2PPAwCa0/7U+ZZ0m1vrmzji1rqbltE2Q/D/7mDTqVkEBZsuDfCp8yz2gvXP3pHdtM3nLdlJ6x62b+ZJ3AgAJEj/Fcm08e/u/bZbO2/JebTNFSSShdlD+m99iz/NH+DH2b1H73ZrZ7b5U+5XFngcRIrEe7A4kq4mP6JjaMqPewCA3nH/OGtp8Y/Pkakht7Z76DHa5lkdZ7u1nxy+w62x89fFS/mx8PTo027tIrJsguwHI1NHaZss2mLFq/w2j/zbz9zaY0MP0TZfuvplbq1vwo96WdO8wa2x90AAyCSybo1Hlfj70JKm5bTNg0U/Kmei4kdZrSRxVHtGnqRt7uhsfJ6KigVhdIVMREREJGYakImIiIjETAMyERERkZjN64DMzC43s6+a2UEzm6jfftfMrmnw2J1mdquZ9ZtZycweMLN3m5EP6UVEREQWoHn7Ur+ZfQDARwH0AvgGgIMAugGcB+AqALfOeOwrAXwVwDiALwPoB3AtgE8AuAzADfO1XSIiIiKnunkZkJnZDagNxv4dwGtCCCOz6ukZ/90K4GYAFQBXhRDuqd//QQC3AbjezG4MIfi/iioiIiKygBz3gMxquQEfA1AC8LrZgzEACCHMzEm4HsASAJ+bHozVHzNev8r2PQDvAHBcA7IEkpFT9hsZr4zRenvS/7X6Kok6yCT9qcAA3IiO2jaV3Bp7jix6AeCxBGy9LE6jTCIxotpsSubcGovEYPEUAMCCTFi8B1uyUuV9y/oomcy7NTZFe3XzetrmDw/e5tZYTMIKEr+wLMenm7dn/OMhZf7p5dXrr3drURExIfivyxPDD7u1M9q2uLX+CR5ZkCOv2fndz3NrU+R4aM34+zQAtKU73Bo7tsvktY6akL8qv8atHSrtc2ss7qaQLtA29xefcWuXLrt8Tm0eHfNjEABgvOwfZ33jh91aF4nYyZLzFwAcKu13ayzaYul1/v71nf/9t7TNnvxKt7acxMew13pJroe2yaItiuXnDA9+qSPbPad1AsBExY/iOFLyo1xY3M3KAo/XYbErczUfV8h2AlgP4BYAA2b2cgDbUfs48qchhDtnPf7q+m2jIKI7UBvY7TSzbAiBB56IiIiILADzMSCbHr4fBnAfgB0zi2Z2B4DrQwjTf4JOJyU+PntFIYSyme0BsA3ABgCPzMP2iYiIiJzS5mNAtrR++3YAewD8BoC7AawF8BcAXgLgK6h9sR8Apq/Te7G80/e3RzVsZvc6Jf+zCREREZFTzHzEXkzHVBhqV8K+F0IYDSH8AsCrAewDcKWZXXqM65v+YJb/hpGIiIjIAjEfV8imfxztqRDCz2cWQghjZvYdAL8D4CIAd+JXV8C8b7RO/5if/8NWv1r/BY3ur185Oz9qeREREZFTwXxcIZv+5dhBpz49YJuegjL9+DNnP9DMUqhNECgDeGoetk1ERETklDcfV8juQG0AtcnMMiGE2XOut9dv99ZvbwPwegAvBfDFWY+9AkAewB3zMcPSm5bKps33jvtTZAE+NZdN6Y2aEp0wf2xcKhfdGovLSET86EEu5U/lHyPTjHMpfxp7VGwIi7ZgkRlsuSjFsh+jkEn4U+dZVEkpIpqhNeNHFpRD2a2xyId9JB4AAHZ0nePW2D7/i4EH3VpU7AWLX2Cv2YHSs26tkxxjAFBIt7i1JNnnswn/9WTxFAB/nmzZKvxYlahp81OBbBN5PVPknLB39EnaZme2y60ty/nxKI8M+vtQT8Q+1Nm01K0NTvS5tUNjfozE6gKPiOnI+l9RXtLkxzqMTPkf3Owv+vs0AGzrONetPTb0kFtj0RYvecs7aJulbz3m1kbJc2nP+nE2UccKiyM5TOJIluX8iI4pEmsBAAeK/nrfeOab3RqLyWFRNwCwq++ehveXyn5MVZTjvkIWQuhFLW2/DcAfzqyZ2YtQ+1L/EH4Vc3ELamn+N5rZhTMe2wTgj+v/y8NVRERERBaQ+frppPcCuBjA/zSzKwD8FLVZlq9GLZH/bSGEQQAIIQyb2dtQG5j9wMy+hNpPJ12HWiTGLagN8EREREQWhXn5cfEQwhHUBmSfALAawO+jFgD7TQCXhxC+Muvx/wrgStQ+7nwtgHcBmEJtYHdjYJ+viIiIiCww8/bj4iGEftQGVO89xsf/GMA189W+iIiIyOlqXq6QiYiIiMjcaUAmIiIiEjMNyERERERiNm/fITvVlMMUDjs5NZ3ZJe5yq5rX0fWOkUwwloE0WRmn6+0bP+zWludXu7XilJ99lkqkaZsZkstUSLe6tUB+1SppfJdiuWnV4Gc2sTynqL5lGXAsC6pEstiSCf48WSYda7ON5Je1k4woADhKMn6aSObcstwyul6mQjLV2P7FstjKLH8LwOBkv1s7s30bXdYzPMl/GGSsyT/u7+9tnEcEAJvanpN//UsPD/gZSADPH2wmWWxLSe7XlvYdtM0nhvxtYtl6a5s3uLU8yS0E+PHQRTLKUpP+Mcj2SwA4g7wuLHMuQzK2tkb07S1PfcmtvXT1y9xaT97P52I5YwCQv2azW+v9N++noIEmksE1EXG+ZfmXzenmOa03KlPztRuud2vs/Wpji98/7D0HAFY478t5cq6NoitkIiIiIjHTgExEREQkZhqQiYiIiMRMAzIRERGRmGlAJiIiIhIzDchEREREYrZgYy+SlkJHtrthbaziTydvSbfT9T417E8zPqNtq1ubrE7S9S5L+dOBJysTbi2d9KMFUhERFAOTvW4tl/SnqifMH8ezWAuAxx1kyZTyctWPQggkLgMAmkjf3n3kR27twu5L3JqRPgCA4tQw2Z65TYtmkSsAjyXYPfyoW2shEScHSvuiN8xRqfrxAaub17i11rT/PADgtgPfdWvPW3KxW2NxGeta/NgGAGA/r3vpssvd2hBp89zuc2mbaRJb05zyX7Mpcq55dvQIbbMnt8KtDUz454tSueTWvvbUrbTN95zzbrdWrvrnC3ZevOvwT2ib53T5fd87ftStrSQRRKzfAeA3Vr3IrfWRvl2eX+XWRqd4XAuLtui+7gK3tvf//b5bS0Rcx+lM+lEleXIuZjE545Ux2uazo3vd2urmtW6NRZywOBbAj6WZIu9VUXSFTERERCRmGpCJiIiIxEwDMhEREZGYaUAmIiIiEjMNyERERERipgGZiIiISMwWbOxFCFVMOr8ezyIdiuURut5lueVz2p6oqcJsim3fhD9V3Yv2qK2Uv7xNST9+IUPiKxKWdGuTVX8qOsCjOAL8aIEMifeIapNFjqxrWe/WqvDjNFLw+wAACiRKYqziRwTkyGsyEjHFncUkrG85w61VSLQAWycALCcxAN9+5htubUOrvz0TEVPcN7dvdmtsH2JyZDo+AFRJH7EW2zNdbo0dRwAw4Zy/AKApmXNrbD9pzbTRNlkkC9un9xefdmuv2vBy2ub+kr9sB+m/lrT/XC5Y8jzaJotY6G7qcWts39xNIpEAYEPrJre2ptmPXTlEomfas520TXaOZ9EW617zArfW//VdtE223+4b9V/r5QU/3qM1Io6KRVuwyBq2rW0Z3rfeuTqVmPuwSlfIRERERGKmAZmIiIhIzDQgExEREYmZBmQiIiIiMdOATERERCRmGpCJiIiIxGzBxl4kLOlO066SX3hn08mn1+vhvxzPVYI/rb4n508HZtP82fMEgCkSB8GmhR8sPevWluVX0jbL1Sm3ljI/YoH1bSHVQts083t/adMKt8ZiL6aC/zwAYHiy3621kCncLMLjGTJlHACet2SnW0uY/7fXo4MPurUt7Ttom2xKeU9+mVsrlYturTXXQdtkx0OZ7tN+lEsyKpaGTGUfJ1EI7HzCom4AIEciKJj+iV631t20lC47PDno1rLJJrfWRdYbgn8cAUCaRNo8OfSoW9vQeqZbY/E6AI/MYOeaLHk9t3acTdtMkNebHfdLcn4MxxQ5nwI81oFFMbFoi85rz6VtDn7jAbfG3q+S5L016lhh51T6Pkf26X3FvbTNtc0bnUrUu71PV8hEREREYqYBmYiIiEjMNCATERERiZkGZCIiIiIx04BMREREJGYakImIiIjETAMyERERkZgt2ByycpjCkbEDDWtVkouzorCGrrd/4qhbS5LsmymSMwMAPzvyM7f24tXXuLVSedSt5ZIF2mbv+BG31tbqZ0H15OeWiwYAaZIF9WD/fW6NZfwMTw3QNll+Euujnx75sVtbmvMztgBgTfN6t/YIyf1amV/t1rZ3nEPbZFk9kySL54zWLW6tODVC28yl/P7b0XmevyDJhmOZfAAwWva3KZ9qdmutGX+fHquUaJtsv2X5SSwHqmz8ebL17hl5wq0tJ8cny10CeE4gy7JjuYUpkuEGAIMTfW7tzPZtbo31D6sBwOCk3ybbh9h+YPzUR3MNWf+xczw7twE8N7Mz6WfHsf2W5YwBQPsr/HP12Lced2v7iyRnkeQdAoCRfZP1USrhZ1+uKfjncMDfx+aeQqYrZCIiIiKx04BMREREJGYakImIiIjETAMyERERkZhpQCYiIiISMw3IRERERGK2YGMvkpZEe7bLrXmGJnmEQkem262xac3VUKHrvXz5lW5tquJHZrCojajp5q3pVrdWKhfdWp5EHUyReAWAb+/mtrPcWoo+T3/qMgBkE/60ZxbTcfHS57u18coYbZM9z63tO+iynr0ju2k9k/Snzg9M9Lu1jmynW+sb76Vtntm21a1VyD7PIleeGn6StnnJssvc2hiNCMi5tYOlfbTNJjJ13jvPAECRRHQUUi20zbGKfwxuIscKi66IMlH14w5YbAiLSYg6J7Dj99nRPW5tVWGdW2NxDwDw1LB/LO3oOp8u6xmY5MdKW8Y/zli0BduHDo8dpG02p/0IDxbvsW/Uj6CIijZi0Ra5l53p1oq3PurWhiPel0Hee3uLz7i1dnLu29V7L23xeUsvdbYkIv+E0BUyERERkZhpQCYiIiISMw3IRERERGKmAZmIiIhIzDQgExEREYmZBmQiIiIiMVuwsReAwZzfXe8jU+67m5bRtT4x/LBb29iy2a1FTf1mU5AroezWEsGfYhtIDQC6m3rcWjn4U+dHpobc2ujUMG2zK7vUrbGp6ofH9ru19owfOwAAvROH3RrrdxZLEBW1wUySfSEEf/r2ysLaiDX7r/fy/Gq3NlEuzWk5ABgnyz42+Ihb29F5rltb27yRt1nx22RxI8+MPuXWzmzbRttkx+/AhB93wGJyEsb/Hs4k/BiTo+N+3MGSpuVujcUrAEBX1j//se0dnOxza8tyK2mbbL3eObxW81XJcQQA2zrP8beHXKdgERSs7wAeF8HOqR1Zfx+K6lsWR8L2r+WFVW6NxUYBwP6iH5nBoi0K12yZ03IAj5VqJ3EjRXI8XLXiRbRN7/2V7T9RdIVMREREJGYakImIiIjETAMyERERkZhpQCYiIiISMw3IRERERGKmAZmIiIhIzBZs7IXB3Gm9nU1+9AKbNg8AZ7RuPa7t8rBp463pdrc2FUicBp/5TaMbUubX8il/2nMuWeCNEmzqcku6zV8u4okubVrh1licQf/EUbcWFXvBXrNcMu/WiiQ2pBwxlT+TyLi1o2N+TAKb+r0qImojm2xya2d3nefWUuQ4m6iM0Tab061ujUWKbGz1p9UfGTtA22QxCmx7zFhsAwtuAJIJv4/6x/3zBdvfWZQLwONuWKQNi0eJisKZqzKJA2LRKACQTfj77d7ibre2oeVMt8bOXwBgJN5jrlElU5UJ2iaLEhonxxk7f0XttyBxS8OTA25trpEYAND7b/f66yX9x6JIoqKqxpzIn6j9gNEVMhEREZGYaUAmIiIiEjMNyERERERipgGZiIiISMyOe0BmZm82sxDx7znfcjOznWZ2q5n1m1nJzB4ws3ebRfxQloiIiMgCMx+zLHcB+IhTuxzA1QC+NfNOM3slgK8CGAfwZQD9AK4F8AkAlwG4YR62S0REROS0cNwDshDCLtQGZc9hZnfW//MfZtzXCuBmABUAV4UQ7qnf/0EAtwG43sxuDCF86Xi3TUREROR0cMJyyMxsO4BLAOwH8M0ZpesBLAHwuenBGACEEMbN7AMAvgfgHQCOa0BWRQXF8sivvdxguZfWu5t65rQ9LPcGALLJnFs7WHrWra0qrHNr405Oyq/4WVos+yZJPlVOkSwsIDrbxV0vya1i+T4AMEWylVhOT3umy62NVYq0TZZvU67623OI5GFFZeA9U3zKreVJ9lkbyZAanhykbXZku91apernRLEvSzwx7OcRAcD2jnPd2t6RJ9zayvwat/b5R/np5r+e8/tuje3TAxP++eR9t3+ctnnzi/7Era1t2eDWRst+7lfU61khGUojJE8skOyployf0wYA3Vk/F5Ll/Y2V/WPw9oM/oG2+47N/49Y+9ca3urWWtJ/jdqjkZ/0BQCHd7NYOFv1lJ0jW2AGyHAC8dsP1bu3Z0b1ubXWznz/YQjLKgKjzsZ/nx/K7WM4YAHRfe4Fb+/RNH3RrW+/kKvkAABIGSURBVDr8XDm2TwPA9s7G56Go9yPmRH6p/z/Xbz8dwn/o6avrt99usMwdAEoAdppZ41RXERERkQXmhFwhM7McgDegNhz+x1nlzfXbx2cvF0Iom9keANsAbADwSEQ73rCZx/qKiIiInEJO1BWy3wTQDuBbIYTZn7dN/wbOkLPs9P38uqiIiIjIAnGivkP2u/Xbv5/DstM/lMU/wAUQQmj4wXH9ytn5c2hbRERE5KSb9ytkZnYWgJ0A9gG4tcFDpq+Aeb8W3TrrcSIiIiIL2on4yNL7Mv+0x+q3z5neYGYpAOsBlAH4U8ZEREREFpB5/cjSzJoAvBG1L/N/2nnYbQBeD+ClAL44q3YFgDyAO0II/lzfY5BAEoVU4ynKZtbwfoBPBQZ47AWbhs2mbwM8FiNHIgtYtEA6IoKCxS+USVREJulPgB2v8KgNtk1syj2LBYkyPDkwp/XSbWWRDgASc/xbpye/0q09NHA/XXZlwY+vYFO4H+jz17utcwdt0+AfS6xvHx180K1tbPWnogP8WBqZ9KNuUs3+ci9b90LaJjtnMOzY/aPL/gtdlkW9VEi/N5E2D5X20zbzqYJb29K23a3tJlElzc55eFo26Z/7hsixO0pija5b+xra5qp3+seZF2cAAKMk+iOV4G+nG1s2u7WJyrhbO1I64tbeeOabaZssfodFW7DzRVR0EXs9e4vPuLX2TKdbK5IYJoBHW/zOuz7q1u754v/j1jrI9gDAvUfvbnh/iYwDosz3FbIbAHQAuLXBl/mn3QKgF8CNZnbh9J31wdwf1//3b+d5u0REREROWfP9pf7pL/P/g/eAEMKwmb0NtYHZD8zsS6j9dNJ1qEVi3ILazymJiIiILArzdoXMzLYCeD78L/P/UgjhXwFciVoQ7GsBvAvAFID3ArgxREXkioiIiCwg83aFLITwCEC+2PDcx/8YwDXz1b6IiIjI6epE/nSSiIiIiBwDDchEREREYnaikvpPAcGNbpis+NN2V5GpwACf8sviIKKMTA66NTaNmH3ZLhHxq/MJsnRL2v/lqsHJPrfGYhAAoIlEIZSDHyUxSaaF/7z/PtrmOV0Nf9ABADBV8dNVMiT2oinlRwsAfLp5ksQZtKT913pN83raZkvay1oGimS6/qXLrnBrA5O9tE22z7MYk7XkuUR9hZRFjmzrONutsbiMszrOoW0+MvCAW1vfusmt9U34/dfdtJS2OV4Zc2sskqVK+n140t8PAGBN8wa3NkWicFY3ryNr5eeEfcWn3VpH1o8eYHEah8d4vEdPfrlbK5I4jc7sErf2TERkEotOWZn3I2vWt/j71xPDD9M2WdQGOz5ZDEeGvB8B/DhrJ68ni7Zg51MA2NLhR+WwaIsLX/ebbq1062NuDQCejni950JXyERERERipgGZiIiISMw0IBMRERGJmQZkIiIiIjHTgExEREQkZhqQiYiIiMRswcZeVEMVJWcabTbhT9tNkym7Udg0dRb3AABZFqNAYwD8Gpv+DgD3HL3LrV209DK3ViDTzTMJHv3Bpn4/PuRP4d7UttWtPW/JTtpmhcRppFIFfzlU3RrbhwAeDcJiTAx+jUWuAHxqeC7V7NYeG3rIra0q8BiYYRLXMjQ5QLbH39/v772Xtvn8nqvcWu/44Tm1+eTwE7RNto+x474nv9KtjZWLtM0h0rcHin6sw1kd293ajs7zaJvv++GH3dpHLn2vW3t88FG3xiImAGBpzq8/1P9zt7a53T8nRJ1v//L+m9za9Zte4daaU61u7SwSuQLAfT8CgD0jT7q1lYVVbi2X5PE7VXIOYxFFbRk/nmJfcS9tc03Bj7TZRY7tq1a8yK1FnvvIe2QHeS4s2iJ/jR8ZwpYtkHNtFF0hExEREYmZBmQiIiIiMdOATERERCRmGpCJiIiIxEwDMhEREZGYaUAmIiIiEjMNyERERERiZiy/43RlZveefd6O8//9J99pWGdZMo8P/YKue13LGW4tYf74tjg1QtfLcnOeGPYzftozHW5tRX41bZPlVj08+IBbW9q0zK0NkuwpAFgZsU0ensTmZ+0AwLOjT7s1lju3tnlD1Ga5UomMW2O5aGmy3F2Hf0jbvHjZ891a0pJurUTysPIkpw3g+T+T1Qm31jd+xK11NS2lbabIa8aylarB309SCR7JOEIywdhrNtdtBYAiya1qIplqafPbnKiO0zbZeYi91iwnip0XAZ7jNl4pubWWdLtbY/0OABWS0The9ttsTvvvHfuL/nkGADqz3W6NZxP6+8muvntom+d2XejWDo35WXZd2SX+9kS8nuxcM0HOCfmkf64ZmRqibbL+u/fo3W6N5WJesvRy2qabU3bXEWBk6r4QwgV0BQ3oCpmIiIhIzDQgExEREYmZBmQiIiIiMdOATERERCRmGpCJiIiIxGyhzrLsy+WaOjdt2dSwngCZBUJm/ABAhs6G8bFZPQCfiTRR8WdGJc2fHcZmEEYZI/3A1lup+jMIa8v6M9JOFDbbj81gyiSzc26TrZcdcWw5NusOAAqpZn+9ZOdksw+jZsix0webxVuuTrm1qBlyUbMT2Ra562QdBKBS9Y9ftuzct5W/LmymG9/3+Ixk9nrP9bWO6oEq2aZA903/3BfV72x7eZv+ewebaQoASTKTNzHH/aREZoQCQJ7Mxp2ixyCbdcy3lVWrpN8T5PpQNeL9kx0PbBY5w86nALBrt5PIUJwCqugPIXT9um0u1AHZHgCtAPbW79pSv/XzIxY39U809RGn/ommPuLUP9HUR9yp0D/rAAyHENb/ugsuyAHZbGZ2LwDMJRdkMVD/RFMfceqfaOojTv0TTX3Ene79o++QiYiIiMRMAzIRERGRmGlAJiIiIhIzDchEREREYqYBmYiIiEjMFsUsSxEREZFTma6QiYiIiMRMAzIRERGRmGlAJiIiIhIzDchEREREYqYBmYiIiEjMNCATERERiZkGZCIiIiIxW9ADMjNbZWb/28wOmNmEme01s0+aWUfc23aymNn1ZnaTmf3QzIbNLJjZFyKW2Wlmt5pZv5mVzOwBM3u3mSVP1nafDGbWZWZvNbN/MbPdZjZmZkNm9iMz+x0za3h8LJb+mWZmHzOz75nZs/U+6jez+83sQ2bW5SyzqPpoNjN7Y/1YC2b2VucxrzCzH9T3uVEzu9vMfutkb+vJUD/3BuffIWeZRbcPmdnlZvZVMztYf886aGbfNbNrGjx20fSPmb2Z7D/T/yoNljut+mjBBsOa2UYAPwGwFMDXADwK4CIALwDwGIDLQgh98W3hyWFmuwCcA2AUwD4AWwD8cwjhDc7jXwngqwDGAXwZQD+AawFsBnBLCOGGk7HdJ4OZvR3A3wI4COD7AJ4BsAzAawC0odYPN4QZB8li6p9pZjYJ4D4ADwM4AqAA4BIAFwI4AOCSEMKzMx6/6PpoJjNbDeBBAEkAzQDeFkL4x1mP+T0ANwHoQ62PJgFcD2AVgL8IIbz/pG70CWZmewG0A/hkg/JoCOHPZz1+0e1DZvYBAB8F0AvgG6idl7oBnAfg+yGE/zbjsYuqf8zsXACvcsqXA7gawDdDCK+Ysczp10chhAX5D8B3AAQA75p1/1/W7/+7uLfxJPXDCwBsAmAArqo/9y84j21F7Q13AsCFM+5vQm1wGwDcGPdzmse+uRq1AzQx6/4e1AZnAcBrF2v/zHx+zv3/q/6c/2ax99GM52kA/h3AkwA+Xn++b531mHWovUn0AVg34/4OALvry1wa93OZ537ZC2DvMT520e1DAG6oP6//D0BLg3p6MfdPRN/dWX/O153ufRT7BpygF2hDvcP3NHizbUHtalERQCHubT3J/RI1IPvtev2fGtSurtduj/t5nKS++oP6871J/eP20TnTbyLqo18+x/8KoArgCgAfdgZkf1S//yMNlnf773T+92sOyBbVPoTaV4eeqr8nLVH//Fp9t73+fPcBSJ7ufZTCwnR1/fa7IYTqzEIIYcTMfgzgxah97PK9k71xp7Dpfvt2g9odAEoAdppZNoQwcfI2KxZT9dvyjPvUP//RtfXbB2bct2j7yMy2AvgzAJ8KIdxhZlc7D2V99K1Zj1lIsmb2BgBrUBt8PADgjhDC7O/+LLZ9aCeA9QBuATBgZi9HbaAxDuCnIYQ7Zz1+sfUP85/rt5+etR+dln20UAdkm+u3jzv1J1AbkJ0JDchmcvsthFA2sz0AtqF2BfKRk7lhJ5OZpQC8qf6/Mw/oRd0/ZvZ+1L4T1Yba98eej9qb6p/NeNii7KP6PvN51D7q/oOIh7M+OmhmRQCrzCwfQijN75bGqge1Ppppj5m9JYRw+4z7Fts+9Lz67WHUvqu5Y2bRzO4AcH0I4Wj9rsXWPw2ZWQ7AG1C7Iv2Ps8qnZR8t1FmWbfXbIac+fX/7SdiW04n6rebPUPsL9dYQwndm3L/Y++f9AD4E4N2oDca+DeDFM94ogMXbR3+I2pev3xxCGIt47LH2UZtTPx19BsALURuUFVAbdPw9at+n+5aZnTPjsYttH1pav307gByA30DtqzXbUfsu9BUAvjLj8Yutfzy/idpz/FaYMamo7rTso4U6IIti9duFOcX0xFnw/WZmvw/gfajNyn3jr7t4/XZB9k8IoSeEYKi9qb4Gtb8u7zez83+N1Sy4PjKzi1C7KvYXDT5emtMq67cLpo9CCB8JIdwWQjgcQiiFEB4KIbwdtUlWOdS+b3esFlr/TEcwGGpXwr4XQhgNIfwCwKtR+37UlWZ26TGub6H1j+d367d/P4dlT8k+WqgDsqi/MFtnPU5qFnW/mdk7AXwKtXiHF4QQ+mc9ZFH3z7T6m+q/oPaxfxeAz80oL6o+mvFR5eMAPniMix1rHw0fx6adLv6ufnvFjPsW1T4EYKB++1QI4eczC/WrrdNX6S+q3y62/nkOMzsLte/e7QNwa4OHnJZ9tFAHZI/Vb8906pvqt953zBYrt9/qbzzrUfuS+1Mnc6NOBjN7N4C/BvAQaoOxRmGVi7Z/GgkhPI3a4HWbmXXX715sfdSM2nPdCmB8ZlAlah/vAsDN9fumM7hYHy1H7SO9fQvs+2OeI/Xbwoz7Fts+NP18B5369IAtN+vxi6V/GvG+zD/ttOyjhTog+3799sU2K23dzFoAXAZgDMBdJ3vDTnG31W9f2qB2BYA8gJ+cSrNS5oOZ/XcAnwCwC7XB2BHnoYuyfyKsqN9OnxQXWx9NAPi08+/++mN+VP//6Y8zWR+9bNZjFrrpj+FmvjEutn3oDtQGB5vMLNOgvr1+u7d+u9j65z8wsybUvk5SRe24auT07KO4czdO1D8oGLZRn1yF6GDYozjNwvSOs08+WH9e9wDojHjsYuyfLQB6GtyfwK+CYX+8mPuI9N2H0TiHbD0WUTAsarPZnnNsAViL2oz3AOAPFvM+BOAL9ef1x7PufxFqA49BAO2LtX9m9ckb68/x6+Qxp2UfLaafTnoEwMWoJdc/DmBnWBw/nfQq/OonJ3oAvAS1v0Z/WL+vN8z4mZb6429B7Q3jS6j93MR1qP/cBIDfDAtkp6n/buBnUbu6cxMaf59gbwjhszOWWTT9A/zyo9yPo/ZX/JOoDSKWAbgStS/1HwLwwhDCwzOWWVR95DGzD6P2sWWjn056F4C/wiL46aR6P/wP1D652ANgBMBGAC9H7Q3yVgCvDiFMzlhmUe1DZrYUwI8BnIHaufmnqA1YX43a4OF1IYSvzHj8ouqfmczsh6jN8r4uhPB18rjTr4/iHhGe4JH0atSmWx9E7YT3NGpf2qZXQhbSP/zqr3Tv394Gy1yG2klyALWPdh8E8B7MSEJeCP+OoW8CgB8s1v6pP9ftAP4v1D7O7UXto5UhAD+r91/DY2kx9dEx7F9vderXArgdtQFKsd6nvxX3dp+AfrgSwBdRm7k8iFro8lHUfiboTaj/pvJi34cAdKL2Cc6e+vtVH2oXEy5R//zyOW+tH1PPHsvzPN36aMFeIRMRERE5XSzUL/WLiIiInDY0IBMRERGJmQZkIiIiIjHTgExEREQkZhqQiYiIiMRMAzIRERGRmGlAJiIiIhIzDchEREREYqYBmYiIiEjMNCATERERiZkGZCIiIiIx04BMREREJGYakImIiIjETAMyERERkZhpQCYiIiISMw3IRERERGKmAZmIiIhIzP5/ztHezlPUVwUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 318,
       "width": 306
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Clustering score: 0.5423746747289555\n"
     ]
    }
   ],
   "source": [
    "matrix = kernel.evaluate(x_vec=train_features)\n",
    "\n",
    "plt.figure(figsize=(5, 5))\n",
    "plt.imshow(np.asmatrix(matrix), interpolation=\"nearest\", origin=\"upper\", cmap=\"Greens\")\n",
    "plt.title(\"Clustering kernel matrix\")\n",
    "plt.show()\n",
    "\n",
    "spectral = SpectralClustering(2, affinity=\"precomputed\")\n",
    "cluster_labels = spectral.fit_predict(matrix)\n",
    "cluster_score = normalized_mutual_info_score(cluster_labels, train_labels)\n",
    "\n",
    "print(f\"Clustering score: {cluster_score}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6T+CCxC1O/oNi8ukuismgZnefQjE5dAnFxMUnKldoJZxPMan0hiGvZzY738v3jcCpFBM6k9y9hWKf302xfz+RaP8U4DqKyafvUgRMNbn7JIp7Bl9dtvPbNvKphn9J0R8vBVrKf2dSXFixBHg/cA1wC3Cou0+lmIj6bFn/fWY2Y/hKKcb4a8rX1FjWmwS8rFz3c4C3Dq1QjtvK+Lxt2Lid4+63sbN/A25n+/icSDE5uisfA64v2/TVyhVZZmYUY34q8Gu2f2tJZI/t8wSUu9/t7m9095Pcfaa717n7FHd/ortf5u7DZ2kr9W519+e4+zR3b3L34939CnePb3wiIiIiIiLjxSuAJ1J8WH6Gu9/s7tugSNV294spbs0xkR0/mJ9K8TnmT+5+ibs/fpNJd1/n7t9297+rYrtXAc9x97vLbfa6+5eAz5flFwx9splNYvsEwLvd/RPu3l3WXUkxkbNypBpXThhdD7RS9N/Lhl1Vg5k9jWKiZQVwjrtfN6RNW9z9Q8ClFP0c3ZB9EnCRu3/G3bvKuuvcffiNJ6cC57n7N4bs37sokhIBnmhmi4bV+QeKybnvAee7+x2V1+DuK9z95RQTVLOB5FfG9sEU4E3u/p/uvs0LNwP/WJb/X4orj17g7g+WbdpKMdH2AMWk2k43KXX38939C+7+8JDX0unuX6W44gyKybx9tQ549pDx6UOvZoqUF4G8giIh8jS2X2H4ZuCpQBeJsSSyJ6qagiciIiIiIhJ4Rfn46UwA0X+Vj08fsqwywTHFzOLki+r5WNDeyn12jhu2/JlAM9ADXDm8Uvl1vY+NRMPM7JnAjykmUT7i7m8Ivl1S6furogsG2N7356TuT0Rx65Uv7Uazbnb3W4YvdPflwKPlj8cG7bsi8+2YSqDV04PyvfUoxRVWw/10yP//dfhEjLsPUkz8wc5jIKuc4NoCLDazebt6/i58qjKZuKfc/RG2T4K928xeQXGVIcDb3f2+fWybHOT2RwqeiIiIiIjI48ysjuJKJoCPmdlHgqdWJj6G3nD6VxS3+5gL/MLMPg38xN0fqkpjd3Z7sLwSaz88PntZ+Xinu3cEdW/e51YVV159gOJ+RJeUVzFFzigf32pmr9/FeidS3G5l3bDlv9nNq2Gi/oKizxYwpM/Km4tXbvb9TTOLYlcrEbkjejNy4I/lZNJwQ1//3UHdteVjMkLdzC6g+GrfyRRXqDUmnjYPeGz3mpoUx0fvBnf/mpk9D/hriq/eAVzn7p+Na4nsnnE7AWUGjUEkeXMizrnivjXp94Qj504K69RYHLHd0xd/o3BLVzrqe0JdfGFaLkZ7WnM6phyKOwSmdPTG7xm517W2rScsy8WbNwXR3A+tT0eA72p9d67cEpYdObcluXxrfxw5nxsbzY1x2dZMfPj05vrk8v+685GwzotPWBCW1WQi3Ves70ouP3lx/NX4KBId4KHrPxqWLTkn/VXytbft9DX+xz350NTX4Qu513XrZc8Iy6Jhmntdj2xM9xPAwhl7/ofU7m3xcf7A2uj3zPwx25oZ923d6THc0BefOw6fE5/D/vRYdM9QsKCDc+e2NW1x2ewpqd+zCnW18RjY2JG6x2a+DwcztxPMnWd/9oe1yeUvOD4+Lh/eGP+hMXfejvojNw67MuMtPNkDm4I+BDh2fjq0qb42d6F0fIzdkxlT86c3JZdH79mQfs/pyxzjIjImTGf7BML03Xj+4ycPd99sZi+juLfRCcC/A5jZGoqrf77k7jeObHN3EJ3kKier4b80ziwfV2fWuS8TDhWVG19/aReTT1BM3kFxpdSU3Vh36o1pfWJZSvymsL3Phv7CPHfI/1t3Y/0jfRVccj+5+8CQ34uifVl5k97hA0A54foN4AVDFvey4w3xWym+obRDUuFe2N39kvNGipvLT6S44rCaX2mVg4i+giciIiIiIvvb0M8hJ7q77erf0Mrufh3FPYJeS/HB/jG2J5XdYGaf20+vY3dk/jzwuJEIYbqmfHyZmT1/F8+t9P95u9P37r4isY5q3bt36NiYshttW1yldoyk11BMPnVR3FNpobs3unurlzcUZ/sk5O6Ml5yR2C9/xfaJvcpN40X2mSagRERERERkf9vI9g/Kx+zNCty9zd0/7+5/5e7zKe4jVLkR+GvMbKcbQR8glStS5maes6/3/YHiZuGfoLj65ptm9qzMcyuX++5V31fZ0EuRR2P79saF5eP73f1Kd390aGF5j62ZO1fb/8zscODy8se7KSbEvmRmu3OlokiWJqBERERERGSkVb4nm7yao7zx9m/KH88fiQ26+x/d/bXAL8tFZw1/Sq5NVXRH+XhSmYiX8pSR2JC7v4Ui+W4C8B0ze2rw1Mp9gl44EtsdSeW9vCqTUCMyNkaByvf47wjKn0z6flCwi2NpJJVfFbya4muAPwOeBNxDMUGqe0DJPtMElIiIiIiIjLRKUl18I8rtNzh+oZmdk1uZmQ29SXV8A8BC5cZ8w2+ouDttqoYfA50UEwxvHF5Yfuh/6whu743AF8vt/Y+ZnZl4zlXl4ylm9vLcyob2/X50Vfn4BjM7OnqSFXbnHlYHWlv5ePzwgnL//3Om7v4ct++imHTaArzS3bsobpreB1xoZi/dD22QcUwTUCIiIiIiMtL+UD6en5kg+CLF1Uo1wP+a2ZuHfs3HzGaZ2V+b2Q0U982peL2Z/cjM/sbM5g55/lQzuwQ4u1z0o6BNLy+/8rRfuHs7cEX54z+b2d+bWROAmR0CfAtYMoLbc4p7Y11NcR+f75vZ6cOe80Pgv8sfv2Rm7x3Wl9PM7Dwz+x7wsZFq2x74MPAgxZU4N5rZK4ZePWZmC83sNcBydryx92j1k/Lx0rJfawHM7CjgWopEyCiVqTJujzGzJ1WrgWZ2KvDO8sc3VL4m6O6/Bd5XLv9UmVIoslc0ASUiIiIiIiPtamAb8BfABjNbZWYrzOyWyhPKr+GdB9xKMVHy8fK5m8ysneJrWP9F8VW6oTfpNuAZFCl4j5lZh5ltBjYDHyjLP1feqHyoL5SPbwE6zGxl2abLqb73U1wJVQdcCbSZ2SZgJfAc4G+HPLd3Xzfm7oPAqyhuTD4J+IGZnTLsaS8HvgvUAu+m6MstZtYGbCrLdnUz86pw9y3AMym+/tVKcUVUm5ltNLMu4GHgc8AyRuYG7tV2OfBnYDJFv3aX/XwP8HTgdRSJeDtx9/uBmyjGzi/LPlhR/jttJBpnZhMpjtk64Bp3/9qwp3yIYrJ4CvAVi2KSRXYhzpUf4wYGPYztbqyP/+Bx1LyW5PJczPqMSfFVwL9dsSUsW9WZjoJ/1lFzwjqPboqjvqNoa4jjt+syEdvNE+KyuVPjKPWs4O0hF6Xe3tMfli3IvOYoZv23KzeHdY5fEF/B25CJbZ/ZEre/szc9dl5yUvzHg8lN8aG5tTvuj+MXpqPU122Nf49pmhAfD5Ob6sOytbd9Irl89hlvTi4HWP+LdB2A9u6+sGx6ZnysScSzA9TWxO+LrZOHX5G/XUMmCn715vS27tsQpwufvmRGWFaXaWN/JmK+rSvdV4fMiFOIe/rj9S1bHF/RPTCYPmhz59H1mfE2N3Px+FW3rwzLjp+VHtsnLYxXuLg1TjHOnUtPmp3+psGWzvR5FPLvA9syfR+dO7qC80auDkDfQPw7+EOboz+swpKgr7oy730ProvXt2hmPBaLP8zv7Per25LLAZ5y6M73Za2v1e++IqOZu//JzJ5OcWPsJ1Ik1O30Juvu68zsLIrUrZcATwCmU0xe/YlicurbwE+HVPsvoAN4GnACxc29JwGrgduBL7r7/yS29eXyypPXUNzceiHFZFXVb/7s7tvKm6JfRDExdDjFTdivBT5I8Vor4g8Qe7bNATN7GcVNyV8I/NjMznX3O8vyTuAFZbv+luKrV60U9xx6APg1xVVSwyfy9gt3f8DMlpVtu5Di62tTKb5ieRdwI8XVY7eEKxkl3H1TOVn0PuB5wGyK1/Fz4HJ3v9XMLsus4vyy7rOB+RTHCMT3jdpTHwWOAFYBb0i0vzKW7gTOofjK6IG4Mk7GuHE7ASUiIiIiIgeOu99EceXGrp43QDGp9F+7ud51FFczfWFXz03UzdZz98uAy4Ky7My3u68gc6Nod++n+NC+0wf3ITcLX+nu8V9J9rBd5TYv2EX97wPf34PtXUbQR8Oe90rglbt4ztm7KO+luKn6Z3azebu13aDeZezide3GGAjX4e4bKCZ3dprgKcsXZ9a7kcT9w/akbbnnufvrgdfvot4DFBO9IntNX8ETERERERE5sP6hfPxJ9lkiImOYJqBERERERESqyMxqzexbZvasoTdlN7NjzexbFPc76qO4P5SIyLikr+CJiIiIiIhUl1Hch+mFAGa2leKzWOWmeYPAm9z99wemeSIi1acJKBERERERkeoaoLj3zzMpbqY9iyJ9biXFfbI+Xsbdi4iMWxal0YxlZrb8pGUnn3zzL27f47r9QYJQXSZtJ0qJgnx6XpQilUvhyiXC5UTJaXOmxGlgubbnEsZyyXpRtVzS0qSGeJ60P9P3a4N0tHnT4uS8XDLWITPientzGNVk+jB3XD68MW5jlAp49fI4Xey8Y+aFZb97NE6levKh6XS3XChr6+lxQt6vvvfBsOw3qzeFZc88Ym5yeWfmWMkdzzNb4mOiL0im68mM31zCY+7csTmTuBa1MUoEhPzxfG8mxW/Z/HQiXC4JczDzuh5Y2xGW5VL8onNfbyZhbl6mjRva46S+xiAZMnecT5kYJ0bmUih/tyoddHTYjPgen7n0z81BQiLkUxejoqmZ8ZtL94tSSCFOeOzpi9fXmHhffMrpTwTgjt8uVxyeiIiIyBige0CJiIiIiIiIiEhVaQJKRERERERERESqShNQIiIiIiIiIiJSVZqAEhERERnlzGyBmX3JzB4zs14zW2FmHzez9I3a4vVML+utKNfzWLneBdVqu4iIiAgoBU9ERERkVDOzQ4HbKFKzvgf8CTgVeDPwLDN7srtv3I31zCjXcwTwc+Aa4CjgVcBzzex0d3+wOq9CREREDnaagBIREREZ3f6NYvLpInf/ZGWhmX0MeCvwAeB1u7GeD1JMPl3h7m8bsp6LgE+U23nWvjTUzB4CJgMr9mU9IiIiMmotBra6+5I9rThuJ6AG3cPY8b6BOEu7py9dZ9bkOJo9k8ydjbCO3P1IW1iWa0dtbfyNyqjelkxk94xJcdtXbY7j3nNtjGK2mxvioZiLo89Fn0dR5QOZiPjJTXE72jJ9taYtjlmfPSXdH7nXnNsvnsmCf2hdZ1gWmZrpw2xse1DW3h23/Vff+2BY9qTzLgnLPve5fwzLNran+z7Xvx09/WFZLj4+Gr/zpjaGdQYz+2trpq/auuM2NtTXJpcvX7U5rPPRH94flv3X350alrW2pM8DuT5syPRha+b8sClzrE8PzqW9HXGdbQPp/QUwMTM+Ig+s7QjLouMB4Ii5k8KykxdMTS7Pva9s649fV+4c1p4ZUzW16fZH74mQP9909sb1jp7Xkly+bmt8Hl08c2JYNt6Z2VLgGRQTOp8eVvwe4LXAy8zs7e4e7hQzawZeBnSW9Yb6FMVE1jPNbOk+XgU1uam+bvpRs6ZNT7ZjWmtcszY9fn39qrCK1ce/q3hvPKY2rkv/rjXzhOPCOvR2xWUT0r9zAPTff19yed3hh8frG4yPIYjPN9TE519f/XB6bQ3xe5j3xL/v2cxZcTvqg3P9lg1xnca4D2lKnzcA6Mn87hOMKeri333oj99XqI/7KtxnNen3bCC7K8n8/hCV+dpH403NOSSzvvh9JduOqK8aMufs7va4LLefI7kxlflsRENmvNVmxkd0HmhsjuvkWGYQRGNqIHN+yJwDsq9rMP4dIRwDdZnPublzWO6Y6A9+N84dK5ZZX198DgvP27lzfW4/b1kflzVl6kX9mNuX2XGTOZ4tWGd3/DsuTTv/HnvPfffT2NCQfJ/flXE7ASUiIiIyDpxbPv7YfcdPie7ebma3UkxQnQb8LLOe04Gmcj07fAJ090Ez+zHFZNY5wL5MQK04ata06b9+y4uShbUven1cc0p6cmrgU+8Mq9j8hWGZP/hAWHbVFdcll//dLTfE67t/edyOpSeEZeueelZy+awf/SCsQ1fmQ3ruQ0ljPOE98L43JJdbZiLM7703bsar3xaW2ZzFyeWD3/18WIejToy3deLZYdngvbfH7Zg8I7185vywjq9bGa9vXmbSMJoImzg5rpP7ENkXT6AykP6QPvAvF4dVai/9t3h9PZkP3P1xO3zdI8nldtjJYZ3B398YltWeeE68reBD9eC1mTE1Ke57W3psXDYjHh+D9/82ubzmyFPiduQm8XITYR3pPyx6R3yxAo3x5J9Nm7PH2wLCiUZrjSc1Pbe+3DGxeU16eW7SKjMp5I/E57DovO1/vjOuc3i8nwe/Ex9jdsLpcdmsoB8TEz+P25tJUggn3Qbvio/LmuOfstOyU856eryNXdAElIiIiMjodWT5mL6MBu6nmIA6gvwE1O6sh3I9u2Rm0WzMUbtTX0RERA4+SsETERERGb2mlI/Rn7wry9Pf5xz59YiIiIjsFV0BJSIiIjJ2Vb7Dk7t12Iivx92fkFxJcWVU/P0bEREROWjpCigRERGR0atyZdKUoHzysOdVez0iIiIie0UTUCIiIiKjV+UOqtG9mSp3RY7u7TTS6xERERHZK5aLdB+rzGz58ScuO/lHN/4yWT4hE8nZP5juj6YJ8Z33c1HqM1viyPGebel4yu5M7HVXJto6tyej9tdlosObG+LXvHpLHGk5KxOzHtU7ZEac2NAd9BNAXyZmvTF4zbn9P5g5HnLR512ZNk7ai7j3XCiKZQq7etMRqgPBuAaYPimOUD3q4v8Ny2697Bnp9TXH67vmznQENEB9JtXnta/9l7Bswy+vTC7f0hUfl509cdTs7Cnx+G0L1pnrw+icAlCb2Zedwb4EmFCX7qu+gXhbf1odJypt3Rb31ZMWpxNWOzJ9WJs5rzTWx+eV3Lif3JRO+9jcGcdl547Z3Dl95fp0esghM+PzVG59OY9szCSVBOoz57BpzXEqSk1mvzy8Id2Ow+fECSydmfejaIwC1Nem27Fua5y01Jp4Lz3zjCcCcMdvl+fCmcc8MzsUeABYARw6NAnPzFqA1RR/UGx19zCP3swmAeuAQWDu0CQ8M6sB/gwsLrex1yl4Zrb85GOOPPn2//5KsrxmYXyPct8W/G6Ri/rO/PYz+MdfhGU1S49P13n4T/Gm2uK495plT43rBelNg7+M32Nt6XF7vD4Am70kLAvT3Xq74/VNnZVpR+bv2E0t6eWbV4dVwv0P2MwFcb21mdS6IF3KNzwa15mzNCwLI8whjLEfvPk7cZ2WzC3X2jbFZQPpbdlxp8V1OreGRYNf+1xYZuekf98D8Bt/mlxe89p3hHUePe/CsGzh978blg0++Pv0tp4Qty9rMPOZ6pF74rLgPFBz2LKwzsCn3xOW1b41/h03TDrLJczVZ86XQQIawOB/fDgsq3nJ25PL/dFMwtwhccrg4H9eHpYxN32s15ySOcfWN4ZFA1fF/WtnpNeZTd28Jz2/AFBzTJx052vit1VrTae5WmZ/Dfzkq3E7Tn1mWBaNj8H74pRXHn1op0WnvuMKAJY/+Mge/w6mK6BERERERil3/zPwY4rJoTcOK34v0Az8x9DJJzM7ysx2mOlx9w7g6vL5lw1bz5vK9f9oXyafRERERHJ0E3IRERGR0e0NwG3AlWb2VOAe4EnAORRfmXvnsOdX/nw//C+TlwBnA28zs5OAXwNHA+dRXB01fIJLREREZMToCigRERGRUay8CuoU4CqKiae3A4cCVwKnu/vG3VzPRuD0st5h5XqeBHwZeEK5HREREZGq0BVQIiIiIqOcuz8CvGo3nxvek8HdNwFvLv+JiIiI7De6AkpERERERERERKpKE1AiIiIiIiIiIlJV4/YreAODztbudETp5o44trtBLLRfAAAgAElEQVS5Md0lsybH0ew1mezwB9Z0hGVTg7jsXMR2XRBfDfkY8OaG9OsazETEd22L40nnTo3jLnP9Ma05F6Wclot0r6+Lh3BUbUtXHDmfi0Q/cl4QKUw+kn5lEG9+8uI4evfRTXEkcq4/LOj7zkz7NnXG/XH3R56b2VZ6+Zq2OEb5mUfMDcs2tscR7Bt+eWVYNvO0i5LLH7z+o2Gdxvr4GHtsc9z+NVvTZRsz5xSPDzFmZ4+juN79wXmlNXOemj8tjnI9Zeq0vWpHpLE+Phet3xrv50/+YkVY9uonpCNq52T6sCU4nwOsbYvbsbh1YnL5hvZ4P/dnzqW542/+9PR+aWmK216X2SntmW2t3xKP7aPnT04uz50Tr74zjjF//hGzw7LjFk5JLn94U7yteYnxuxdDc8wysxnAC4DnAscD84FtwO8p7t/0ZXcf3M11rQAWBcVr3X3OCDQY6tK/4/iGR+J6k1uDgsyJ1DJ/Sw3aAEBXe3p1tfGx51NmxuvbFh9fUWy3HR7HttvE9DEJQG98rNAXn9v8lv8NNpbpw9PjOG9rbI7rRft/a3y7MpsVDUugP/M+m4mkt5b0+9vqF70srDP3a1fF7cj8jmvR+GhKv6cA1Bx+clg2ePtP4nasTp9/ffP34209L/4Gr53ypHhbmfc3m5v+vc6XXx/WmXfBX8Tbqol/f7D5h6ULejvTywEmxH1PZtz4rT+Myx55OL38b+JTpy1eGpfVx7+7eTDuXz/3xLDOp3/0ybAsN369PX1OBBi84+fJ5TXLzo23tS0+T9lpT43bcedt6Tbcf0e8viXHhWW1L0l/TgAgOs9m2s5A/Lkp9/4x+PtfxOs8Kn3e9szYsBOfEq8v08aorOt9HwirTLw48Y39zGfwXRm3E1AiIiIi48SFwGeA1cD1wMPAbOB84AvAs83sQvfclPcO2oCPJ5bHfzUTERER2UeagBIREREZ3e4Dng98f+iVTmZ2CfBr4IUUk1Hf3s31bXH3y0a6kSIiIiI5ugeUiIiIyCjm7j9392uHf83O3dcAny1/PHu/N0xERERkD+gKKBEREZGxq3JDh/gGYDtrMLOXAocAncBdwE3uHt/8UURERGQfaQJKREREZAwyszrg5eWP8V1zdzYHuHrYsofM7FXufuNubnt5UHTUHrRDREREDiK2+/erHDvMbPmyZSeffNuv078b5RLLmhvS6QuZAAj6BuLgmd6+uCxKM+vsjds3kGnIzJb4TvlR8tS8aXGCVJQiCPDY5jil7bDZk8Kytu70nfcnZdKqHg5S5ACmT4pT9aIErI7e+A+8vX1xWS55anJTnLQT7bEV6+PUjkUz49SOXOJalE64Yn3chzNa4j7MJRr2B+M+lwa2N8cDQGMm4TGqtvSct4d1Vt+Suvdu4ZFMAmFr0Fctmf2fO9/kxv19q+M0kqOCRMa7Hm4L6yydFacV5RI0o3NOT2Zf1mfSOrsz6Zq54zmqN6Eu/iZ530A8FnNtrAuSSHPvl/2ZbeWS6aJ15pIEc2moufeqtZmEyujckUsLzKWhZk4d/Omx9Ng+JkjiA9icSC999tmnAXDXnb89mALxdmBmlwNvB65z9zi2dMc67wFuBv4AtANLgTcBrwV6gNPd/Xe7sZ5wAurkk06Y+Jub0qlJDGYusgrS2HzdirjKnEPj9W3dEBZ555b0+loPideXS2Jr3xSWhclI0zKBg7lkr8H4/GuT4lTTwTUPputMnxfX+dk1YVnNWS8Iy+gL+qplRlynJ37foyfTH1Mz/bhlbXp5Y/x7lq9dGZfdHx8aNWdfkFw+eMO3wjq5JCvLjA+bkD7/+vp0QhvAwNc+HZbVXfSRsMy3xb8XDd6ZTrurPfU58fq64t9VqIt/D/BH743rRZrjxGmCcwBAzdKT4nZE54FMgh9dW+Oypjhlm81r0sunzorr5I6V3Of+TLqmbw6OoyBlEoD2OGXwT+e/Oiw7+lfpv4F4cP6C/P7qenn81tj0sX9PLh9c/VC8rYVHhGWDf/xVWGbzlsRlc4KyzPGQex8gk55HT5A1soeJsqec+TQAlt/5uz3+HUxXQImIiIiMMWZ2EcXk05+AOFN+GHd/77BFdwOvM7OOcn2XAZmZhcfX84SgXcuBOFteREREDlq6CbmIiIjIGGJmbwQ+AfwROMfd48tvdl/lZuZnjsC6RERERHaiCSgRERGRMcLM3gJ8iuLKpXPKJLyRsK58jL+vKyIiIrIPNAElIiIiMgaY2T8BVwB3Ukw+rdtFlT1xevkY32hDREREZB9oAkpERERklDOzS4EPA8uBp7p7eIdtM6s3s6PM7NBhy481s+mJ5y+iuKoK4Ksj2GwRERGRx+km5CIiIiKjmJm9AngfMECRYHeR7Rw1uMLdryr/Px+4B1gJLB7ynAuBd5jZ9cBDFCl4hwLPBRqB64DLq/IiRERE5KA3biegBt3p6k1HX/cF8fEA7ukIzYc3xNGUzQ1x7GYufjuK2Z6TibbOtSMXKz5rcjqOMRcRn7MkE+len4lFnzoxHVf/6KY44vXwOZPCsq7eOM65tmbPk7kbMm3PRcRvaI+jmac1p19zLj4+V5aLPl8ZjI/c+qY0pdsHsC1zrDyyMb2t1mCsQT4+PjcWBzLZ8o316de2+paPh3Xm/sVbwrK7fhBHEUdjqntbPA6jfQIwf1q8L5e0xsfYqs09yeXHL5wS1rl3dRxvvTRzPG/u7Esu78/sk9mZMVDTGI+BvoF4nfW16f28bmtvWGdKcL4ByAxtlq9I38952aI4znlbf7zCu1bFkdOnL93pYhQAMkHJdGbOe7ljbFpzfA6L+rGlKf41oTfzmnOi94/O4D0boDFxDtt5/mVcq2Q01wLRCexG4KpdrOd64EhgGcVX7pqBLcAtwNXA1e65nO7dZeEO8nVxxL21Lkwvn7M03lRvHDnubevDsppFxyaXD3w9fu+o/av4vSP3ugZ70u8DNR4fQ9veHW9rwke/HJYNfOczYVnNc1+VLmjfGNd5+t+EZdm495b0uS17dquNz9mDq/4cltVMjN/7wvU99IewzGbMibd18jlh2cBn3pNcXvvGD8QN6doaFg0++Lu4HYuOSS631kPCOrV//+GwzLfGY4DB+D2n5qR0fww+dFdYx6bMjLeV+V3b5h2WXt4Yf07wXFT95Blh0cA1H4vb8YSz0suntma2Fb9m3/BovK2Waek66x+Jt9WxJV5fcI4FMscs2Iz56YKBzOfISem2Axz9i+vjenXBGKiPf2f2TY+FZQ3/711xva7078bW0BTWef38ZAAsAJ/tjPfl4Kr7wjK2Bb/LTpgY1+mPPzvn3o98zUPJ5dYYfxawJSfE7dgL43YCSkRERGQ8cPfLgMv24PkrgJ1mgNz9RoqJKhEREZH9TveAEhERERERERGRqtIElIiIiIiIiIiIVFVVJqDM7GVm5uW/VwfP+T9mdoOZtZlZh5n9qrzJpoiIiIiIiIiIjCMjPgFlZguBTwIdmee8CbgWOI4i7vfzwDzgKjNT+oqIiIiIiIiIyDgyojchtyIT+MvARuC/gYsTz1lMEfG7CTilvFEmZvY+4Hbg7Wb2bXf/xUi2TURERESqbvE9997HKU85N13aFydXUhekoFnm76W5lKv+OKGWCUGi0uZ1cZ0rvxOXbYsTicI2Rq8X8McyyVh3Pjfe1tZ0iicA//q19PJcklVt5qNCJsWPmjgheq/WFyQJAtCYSYqKEtz6MmMj95ozY9E3pceOff2X8foyCXPZY2VCkNJVs5fXFuTGQE60vVzbc/27N+Mmd37IyZ072jbEZROD4yj3unJlub6P+iNXJzemooQ5yI+dqI9zoam54zkn2lZ2TGXGTe5Yj/o30/aHic9Ftz85nZBYtCPT/qgde3v+zY2PqB2546hh53PsPffdT2NDnHqdM9IpeBcB5wJnl48pfws0AB+pTD4BuPtmM/sg8EXgdcA+TUCZWRg9n4uk39qdjhxfMD2OY8xFQTfUxwdEVC+KegdYOCNuRy4KPkpMb5oQt68uiD0HyKU0r2tLR8RD3B+tLfEAzsWb12T6aiB40dMy0ezdfXEfrtocv645U/b8AJyZec13roxj249bMDksWzQz/UtYrg/Xt8cnxKmZvlo4I72thvp43NRkDpbccdnSGJ+qHgv2S1t3fPK96wcfCctOePY/hWWf/uxOc+oAPO3Q2WGdQzLHrGX6I5eD3tmTfm2bu9LnL4DFrXG8at9AvLVZk9PjNNe++1anY20B5k2L+6M9eF0QH7e5c0d0DoB43AAs2YvjKLetJTPivt/Qnv7FqDXod4Dmhvi83ZV5H+jI9G/Uj7n3t3Vb43PHxIb4mN3ckX7Nc6fFEcv1ifej3PEjB9TW7u5ufnvn71YAR5XL/nQA2zNyVq7e1zWMTH9sunsvK8ZR5QfA+BobOY9lJjO2O3j6Y/eoP7ZTX+xo1PbHhjt/dyA2e6D6Y3F3d/fWvak4YhNQZnY08GHgE+5+k5lFE1CV5T9MlP1g2HNEREREZIxw9yWV/5vZ8nLZEw5ci0YP9cd26osdqT92pP7YTn2xI/XHjsZif4zIBJSZ1QFXAw8Dl+zi6UeWj/cNL3D31WbWCSwws4nunrnednuHJxwVLBcRERERERERkf1spK6AejewDPgLd898CR6AKeVj9B2jNqC5fF52AkpEREREREREREa/fZ6AMrNTKa56+ugI3Ti8clOH3C1GiicEl5qVV0adPAJtERERERERERGRfbSXsQGFIV+9uw+4dDerVa58mhKUV+6wvFc3tRIRERERERERkdFlnyaggEnAEcDRQI+ZeeUf8J7yOZ8vl328/Pne8vGI4Sszs7kUX797dFf3fxIRERERERERkbFhX7+C1wt8MSg7meK+ULdQTDpVvp73c+DJwLOGLKt49pDn7JO+/sEwZruuNo5ujpK0JzfFcfQ5jZlI+ii2e82WOB58ahBFDrCmLY7Enjc1HW+di7Hu7YvjvDOJ42QS3cP48N5MvHl/boWZFO5UbDfAhva4nxrq43jz/oG4jSs3xPOlNUEfL25NR71Dftw8sLYjLDtuYfrCwly8fS4+vqcvfs2R1Zl4+1lT4mj53LYGB/vCsjVb09s7em5LWKe2Jh44n/7sxWHZG193eXL59d94f1jnuIWTw7Lca27ril9zf7DPcnWaJ8Rje8X6zrBs0cz0OM2dO6IxD7BqU3ybwA/f8EBY9r5nHplcPjHzuiY1xm9xd63dEpYtnJR+zbn15dyzIb6g94TZU5PL6zJjNNf3fZnzZa79NcH2Ms3gn/73nrDsvcH+ApgxaUJyeUfmPJWqk2majBJjKZVnf1B/bKe+2JH6Y0fqj+3UFztSf+xoLPbHPk1AlTccf3WqzMwuo5iA+oq7f2FI0ZeBfwTeZGZfdvcV5fOnsT1B77P70i4RERERERERERk9RioFb7e5+0Nm9g/AlcBvzOzrwDbgAmABI3czcxERERERERERGQX2+wQUgLt/0sxWABcDL6e4F9UfgXe5+1cORJtERERERERERKQ6qjYB5e6XAZdlyq8Frq3W9kVEREREREREZHTY1xQ8ERERERERERGRrAPyFbz9wczCJLF1W+MUtCOC5KxbHtgQ1nnSkulhWfe2OEluY8e25PL505vCOstXbg7Lls6cFJZFuUiDmQS0XFJYnDuVT6Xq7E33R5SOB/nEp87eODUp2ta2TErUjJa9OyQGPV5nlEyWS/c7dkGcnLY6k5LY3p3eVtQXAO/98X1h2b+/6ISwLBrb921oD+tMbor7N0pqhHz/RsdRSya5MndcPu3Q2WFZlHZ3zosuDev85toPhWW5FLxj5scpfn9Y05ZcfuiM+BwQJecBzM30/cSG9D7LnR9y25qT2dYV5x0blkXjfkHmfLkpGBsAp8yPz9v1den3jtaWdHob5JM8c/s5SmXtyozRXJpdLj2vvSduR1N9ep/VZFJjP//iE8OyKIUU4vN2e3d8Pk+9rlyCp4iIiIiMProCSkREREREREREqkoTUCIiIiIyYsxsgZl9ycweM7NeM1thZh83s2kHum3VYGYXmNknzexmM9tqZm5mX91FnTPM7Doz22RmXWZ2l5m9xcxyF5mPemY2w8xebWbfMbMHzKzbzNrM7BYz+zszS372GK/9AWBmHzGzn5nZI2V/bDKzO8zsPWY2I6gzbvtjODN7WXnMuJm9OnjO/zGzG8qx1GFmvzKzV+zvto608tzowb81QZ1xPzbM7Clm9m0zW12+h6w2sx+b2XMSzx13/WFmr8yMi8q/nS6VHyt9MW6/giciIiIi+5eZHQrcBswCvgf8CTgVeDPwLDN7srtvPIBNrIZ3AScCHcCjwFG5J5vZecC3gR7g68Am4HnAFcCTgQur2dgquxD4DLAauB54GJgNnA98AXi2mV3ovv279eO8PwDeCvwW+AmwDmgGTqMIa3qtmZ3m7o9UnnwQ9MfjzGwh8EmKYyd5HwEze1P5nI3AV4FtwAXAVWZ2vLtfvJ+aWy1twMcTyzuGLzgYxoaZvQt4P7AB+F+Kc8lMYBlwNnDdkOeO1/64E3hvUPYU4FzgB0MXjqW+0ASUiIiIiIyUf6OYfLrI3T9ZWWhmH6P4IP4B4HUHqG3V8laKiacHgLMoJl6SzGwy8HlgADjb3X9TLr8U+DlwgZm92N2vqXqrq+M+4PnA99398RvPmdklwK+BF1JMRn27XD7e+wNgsrvvdCNDM/sAcAnw/4A3lMsOhv4AwMwM+DLFxNJ/AztNJJnZYuByig/Tp7j7inL5+4Dbgbeb2bfd/Rf7p9VVsaVMj886GMaGmV1IMfn0U+B8d28fVl4/5P/jtj/c/U6KSaidmFllrH9uyLIx1Rf6Cp6IiIiI7DMzWwo8A1gBfHpY8XuATuBlZta8n5tWVe5+vbvfP/SqnowLgFbgmsqHhHIdPRRXUgG8vgrN3C/c/efufu3Qyady+Rrgs+WPZw8pGtf9AY+/lpRvlI+HD1k27vtjiIsoruR4FcW5IeVvgQbgU5XJJwB33wx8sPxxvE1oR8b12Ci/nvsRoAv4m+GTTwDuPjRtaVz3R4qZHUdx9eQq4PtDisZUX+gKKBEREREZCeeWjz9OTEC0m9mtFBNUpwE/29+NGyUqffTDRNlNFB++zjCzBnePY5vHpsqHx6GRlwdzfzyvfLxryLKDoj/M7Gjgw8An3P0mMzs3eGquP34w7DljVYOZvRQ4hGIi7i7gJncffo+f8T42zgCWAN8CNpvZc4HjKL5S9uvEVW7jvT9S/m/5+MVh42NM9cW4nYCqqYGmCen7beViuycE8dstE+JI94fWd4VlCzPbihKkG+vj+4SdtjR5r0IgH0kdxdhHceMAfZlY8VwEe0smInxNW/qPQPWZqO9oPwLEtcCCwtz6Mi8rjEsH6OqN+yoaU1u7+5LLAdZtjc8Nub5/cEP6D0jLDpka1rnojMVhWU1mWw+s3emr6QCcviQeo5Ma4rERjVGA/szYjqp19MSR7is3xMfsITPiY/a4hZOTy39z7YfCOqc87/+FZTd88/1hWU9fPKYOnZG8TQJzpjaGdQb3MrJ+S1d6nE7OHOetLRPCssxhROYl09W3070WgXw/zZoS90f/QFwvWmf/QKYPM0UTM+ecyU3p95bmhr27X+SD66I/IsOR81rCssc2dyeXtwX7H+CQmRPDMiPu34bgnLimPbpIABYkjsua6CQvB9KR5eN9Qfn9FBNQR3DwTkCFfeTu/Wb2EHAssBS4Z382rJrMrA54efnj0A9JB01/mNnFFPc5mgKcAvwFxWTDh4c8bdz3RzkWrqa4P9glu3h6rj9Wm1knsMDMJrp7/Mvd6DaHoj+GesjMXuXuNw5ZNt7HxhPLx7UU90w7fmihmd0EXODu68tF470/dmBmTcBLgUGK++kNNab6Ql/BExEREZGRMKV8bAvKK8vjv4qMfwdrH32Y4mqG69z9R0OWH0z9cTHFV1HfQjH59EPgGUM+UMPB0R/vprih9CvdPf3Xj+12tz+mBOWj3ZeBp1JMQjVTTLr8O7AY+IGZnTjkueN9bMwqH18HNAFPA1oozhs/As4Evjnk+eO9P4Z7EcVr+cHQ0ILSmOoLTUCJiIiIyP5QuWxt7y7JPDiMuz4ys4uAt1MkIr5sT6uXj2O+P9x9jrsbxWTD+RRXI9xhZifvwWrGdH+Y2akUVz19dIRuHD6m+8Pd31veN22tu3e5+93u/jrgYxSTMJftwerGdF8AlUu/jeJKp5+5e4e7/wF4AUXQw1lmdvpurm+s98dwry0f/30v6o6qvtAElIiIiIiMhF1djTB52PMORgdVH5nZG4FPAH8EznH3TcOeclD1B0A52fAdiq+jzgD+Y0jxuO2PIV+9uw+4dDer7W5/bN2Hpo1GlRv2nzlk2bgdG6XN5eOD7v67oQXllXKVKydPLR/He388zsyOobhH1qPAdYmnjKm+0ASUiIiIiIyEe8vHI4LyStpXdI+og0HYR+UH9CUUN+l+cH82qhrM7C3Ap4C7KSaf1iSedtD0x3DuvpJiYu5YM5tZLh7P/TGJ4nUdDfSYmVf+UXw1EeDz5bKPlz/n+mMuxdfWHh3D93+KrCsfhyaGjuexAdtf35agvDJBVbkp5Hjvj6Gim49XjKm+0ASUiIiIiIyE68vHZ5SR2o8zsxbgyUA38Mv93bBR5Ofl47MSZWcCE4HbRkNS0b4ws38CrgDupJh8Whc89aDoj4x55WPlQ+V47o9e4IvBvzvK59xS/lz5el6uP5497DnjSeVrZkMnDMbz2IAira0fONzMUmk2x5WPK8rH8d4fAJhZI8VXlwcpjo2UMdUXmoASERERkX3m7n8GfkxxA903Dit+L8Vf8//D3eO4xvHvW8AG4MVmdkplYfkh45/LHz9zIBo2UszsUoqbji8HnuruGzJPH9f9YWZHmdmcxPIaM/sAxY2Xb3P3ytUd47Y/3L3b3V+d+gf8T/m0r5TLvl7+/GWKias3mdniyrrMbBrbE/QqX1cbU8zsWDObnli+iOLKQYCvDikat2MDoDxPfJ3ia2TvHlpmZk8HnknxFbJKiua47o8hLgSmUQQ4DL/5eMWY6os4R3uMqzGjsT4dY527+1YUVZ6Lm57SFHdjbSbGfmYQVe6ZOPqebekocoCJmdjunr70OnMR2/WZvPRhf9jcQS4ae2ZLQ3p9YY18G6c2x3Hv7d3pei2Z+PhM14fR4QCrN8fx4dOa0zHrdbXx+pa0NodlmzP9MX1Suj+aG+LX3FAftyMXVT8t6Pu6zJgfCI4vgK3B/oI4qh5g9tTG5PJJmf08f1q6DoBlxm9PX7o/ouUAN3zz/WHZ2RfGt0BYe9snwrKJE9LHem6M5vq+K3NeuX9Ne3L5rOBY3pX6zLjPnS+j7eXOHbnx+/DGOHgnOjdv64/XNyHT97OnxH3VG6xzU8e2sM7mzvhYyW2rL9P+edOakssXTE8v31U7cuecaCweMWtSWCc1tjOHqhxYbwBuA640s6dSRD4/CTiH4qt37zyAbasKM/tL4C/LHyuTDaeb2VXl/ze4+8UA7r7VzF5D8YHhBjO7BtgEPJ8iSvtbFB/CxiQzewXwPoorem4GLkq8r65w96tg/PcHxRUJ/1pGyP8Z2AjMBs6iuAn5GuA1lScfBP2xR9z9ITP7B+BK4Ddm9nVgG3ABsICRu5n5gXAh8A4zux54CGgHDgWeCzRS3Ovn8sqTD5Kx8TaK94t3mtmZwK+BRRQ3IR8AXuPuW+Cg6Q/YfvPxz0VPGGt9MW4noERERERk/3L3P5d/gX0fxYfv5wCrKT5AvjdxE+rx4CTgFcOWLS3/AawELq4UuPt3zewsism4F1J82HyA4sPXlZ77S+Tot6R8rAXeEjznRuCqyg/jvD9+SvHB8cnAiRQx6J0Uk7FXU7y+HY6Jcd4fe8zdP2lmKyiOoZdTfIPnj8C73P0rB7Jt++h6ismBZRRfuWumuP/RLRRj4+rh+3q8jw13X2dmTwLeRTHpdBrFxNz3gQ+5+y+HPX9c94eZHQ38BfHNxx83lvpCE1AiIiIiMmLKrwm86kC3Y39x98vYs7h03P1Wism5cWVv+qKsN1774252/jrq7tQbl/0R2dW4cfdrgWv3V3v2B3e/kWIydk/rjeuxUU7Ivq38tzvPH7f94e73kL/Yf/jzx0Rf6B5QIiIiIiIiIiJSVZqAEhERERERERGRqtIElIiIiIiIiIiIVJUmoEREREREREREpKrG7U3I3Z2+III7FwPeFkTBT5sYx8DnoqBXb+kJy6LY65UbusI6i2ZODMtykeMb2nuTy3Ox7Xc8ko5fBzisdc/isivqatOdlYvsnpLp+/Vb068LYGJDOqo+k/ROTaawLRM5vmRWc1gW7Zet3f1hnZbGuD+a6uP+bZqQfs2/fjAOHTp16fSwrGfbQFjWOjkd954bhx09cbR8W6Y/ajP7JSq6b3U8fpe0xvsrFxHR1pUeA8fMbwnr9PTF/bH2tk+EZbPPeHNYtvGXVyaXP7qpO6zT0RP37yEz4vPKskVTk8s7e+Ox0Z0ZN7nx25WptzjYZ7nxlrOkNX7N69vT4zR3F8gVmfP2sQsmx9ta15lcnjsHzGiZEJZF54Bd2Rq8903NnH+jOgBr2+L3vmjsHJfpp9TYGBw9gS4iIiIisht0BZSIiIiIiIiIiFSVJqBERERERERERKSqNAElIiIiIiIiIiJVpQkoERERERERERGpKk1AiYiIiIiIiIhIVWkCSkREREREREREqirOeR7j+gacNW29ybJclPaimelo7pWZiO1JmbjsXIT1uq3p9s2f1hjWycWbN2bizRvq0mXTmuM47ycumhavL7Otutq4bF0Qzd1bE7+uGotjxWsyO7M2KMzF0TfUx9tqzJSt3hJHji+Y3pRcviGIXwdoboi3NbkpHlMdvenX9sQl8b58KNOOWZMbwrK2IKE4BCUAACAASURBVIK9rSuOZj9ybktYluv7+tp4R9+/piO5/IRDpoR1Vm3ORMRnxkf/YDr2/Q9r2sI6h86YFJZNnBC/5o2/vDIsm3HaRcnlK2/8WFhnbXA+BOgbGAzLPPg7RVcw1gC2dsdls+bE/fHQ+vg8O7EhfZ7d0rktrHPo7Hhb0fkXYHNHep3RsQwwuSl+H7hn1dawbNaU9Pl+UuYcsDFoH0Bff7wvezNlc4J2bMvUGQiOB4CmzNhe3NqcXP7m7/4hrPPvLzphp2W1lns3FxEREZHRRldAiYiIiIiIiIhIVWkCSkREREREREREqkoTUCIiIiIiIiIiUlWagBIRERERERERkarSBJSIiIiIiIiIiFSVuccpNmOVmS0/adnJJ9/6y98ky6OkMIC6IDktl+iTSwnKJXttaE+nMK3JJKodlkl1qsskhUVt7Mqk6vUNxGMjlz7X2hInp0Upfrn+fTCT0jYvkxgYrXNzZ5zSNn1SnAqYS3yKEvcA1gbJf7lUvQlBaiHkU/yiJK7/+cNjYZ3TFs4Iy+ZOjfs3SrvLva4oOQ9g+arNYdmZS1vDss7geF6fSTk7fmGckLc5k+IXvebc8TAn04dROiXAo5u6w7IpQbrmorPeFta59j/fE5adsCDuj+ilNQepdJA/J975yJawbMG0dAopwKYg+e34hZPDOrljdm/k9sm8aXFCXi5lcEN7+nUtzCTu5Y6j3LloUmaf1QT1cimDj2yM++Po+XHiZZTGl0tPnDNl5/eVM550CgB3/Ha54vBERERExgBdASUiIiIiIiIiIlWlCSgREREREREREakqTUCJiIiIiIiIiEhVaQJKRERERERERESqShNQIiIiIiIiIiJSVZqAEhERERERERGRqoozmce4QXc6gnj2ulxmeqB720BYNjETbZ0zvXlCcvnqzT1hnZ6+uB2TauN2NNbXJpc/nInRPmRGHAOeq9fasnNcdkV/EIu+OYi3B2ickG47wLqtvWHZhCDifu7UxrBOXyY+ftDjSPfVW+Ko8gVBnPqD6zrDOotmxnH0LU3xfo5i0X+3Ot7WecfND8t+/8jWsOzwOZOSy3syfZg7jj76w/vDslkviPfZ/Gnp/l06qzmsc+/q9rBscWtcrzkYi9G4BhjMlA1kyjp64kj6tW3pcX/tf74nrPO8l7w3LLv3p5eHZVOC8ZY7F9XVxn/bOGxWetwA9A/E/XHM/Jbk8gfWxmM7d6xPaoyPo00d6eM5OqcA3LMqPlaicwBAb9CPKzZ0hXVaW9LvHRCf6wG6MsffxuA1585FufeB+1Z3hGULgveWFRvifTltYv1OyzKnZBEREREZhXQFlIiIiIiIiIiIVJUmoEREREREREREpKo0ASUiIiIiIiIiIlWlCSgREREREREREakqTUCJiIiIiIiIiEhVaQJKRERERERERESqynwc5hib2fKTlp188s2/uD1ZnnvJmzrTUdSzJjeEdXLry8azRxUz62uoj+cMc5HuW7vTke5TEtHWu6O9uy8sq89EsDcFMfa5UZgbo92ZWPEoCr7G4m3VWFyY25d9A4NxvSBaPuoLgFWb4njz9R29Ydm8qel485mZ2PbOnvTYAPjT2vawbGJdOsZ+2eKpYZ0f3bMmLDtpXlzvD2viiPtzj5yVXJ4bN7ljpS/YXwAr1qdj4udObQzr5OTGfVN9PD6i8VaTGdw9ffEYPfJpF4dlq26+Irl8YkN6/wOs2dITluWOldy5dFJjenu59bV1xeepOZl99sCajuTy3DHb0hSfS3PvHx+78c/J5ecfMyesM3tK3PbcOb0jc6xHr21r5ly/qSP9fplbH0BLsC/XtsXntkNmTtxp2ZlnPBGAO3+7PHNWFxEREZHRQldAiYiIiIiIiIhIVWkCSkREREREREREqmpEJqDMbIWZefAv+Z0bMzvDzK4zs01m1mVmd5nZW8wsvm5fRERERERERETGnPgmHnuuDfh4YvlON9Mws/OAbwM9wNeBTcDzgCuAJwMXjmC7RERERERERETkABrJCagt7n7Zrp5kZpOBzwMDwNnu/pty+aXAz4ELzOzF7n7NCLZNREREREREREQOkANxD6gLgFbgmsrkE4C79wDvKn98/QFol4iIiIiIiIiIVMFIXgHVYGYvBQ4BOoG7gJvcfWDY884tH3+YWMdNQBdwhpk1uHucybwPchHs05vTcfWPbuoO6zRm4tIb6+M5vu5tw7um0JBZX33d3s0ZPrY53f5s+zKx7dMyUd+5/m0PYsBzcekLZzSFZVE0e26duT6szXRvLlZ8a1vc/iiCPdNNzJ8ev+als5rDsm396X22pq0nrLMoEW9e0ZqJjzdLJ5/n9v+y+dPibbWkjz2ASY3Tw7KaIIB920Dcjs2de76/IO6riQ3xONySGdv3r2kPy5YtmhqWefC3A/f4NU9pitu46uYrwrL5T3nrHtdpyRyXncF5DyDYlQA0BOeq5ob4uOzqjbe1ri1+ezl6/uTk8kc2doV15kyJx01NcKwA/NO5hyWXr1gfbyvqC4B1mWN9Qvbct+e/DsxsiV9z7nz58Ib0a5ud6cPO3p3fOwZzJ1ERERERGXVGcgJqDnD1sGUPmdmr3P3GIcuOLB/vG74Cd+83s4eAY4GlwD0j2D4RERERERERETkARmoC6svAzcAfgHaKyaM3Aa8FfmBmp7v778rnTikf24J1VZbHf/4vmdnyoOio3Wm0iIiIiIiIiIhU34hMQLn7e4ctuht4nZl1AG8HLgNesJurq3xXQdfWi4iIiIiIiIiMAyP5FbyUz1JMQJ05ZFnlCqcpOz8dgMnDnhdy9yeklpdXRp28m20UEREREREREZEqqnYK3rrycehdk+8tH48Y/mQzqwOWAP3Ag9VtmoiIiIiIiIiI7A/VvgLq9PJx6GTSz4GXAM8Cvjbs+WcCEynS8/YpAa9/wNnUsS1ZVhPFZhGn6rRm0n5yyUI9fXEKU3+wrYmZ9nUlkoAqcqlD0yelE8ZyfZFLusuEOmVT5gaD9k/OJHR1BMl5kE8gnBokGnZm1leX6Y/ezL7MpapFyYqX/Xin+/A/7uKzloZlqTSoimjMHzG3JayTsyqT/hiN7dw+yaX75fZzriySCYQLjz3If/c3Sv6rzYybyZlEuFmZ80pnJsEtOg/Mnxb3b+5clEvxi9LuonQ8gK9ddUlYNr0xfs0LMu2/97F0ctri1jgVsiVzXpmUec23Pbgxufy0JXEa47qt8VvWvMzr6guSK6NzNsADazrCsqPmxcd6LlkvGtu5ZMLce9+G9rg/pgTvLX98LE6FTI2NwdxBLiIiIiKjzj5fAWVmx5rZTr+Vm9ki4FPlj18dUvQtYAPwYjM7ZcjzG4F/Ln/8zL62S0RERERERERERoeRuALqQuAdZnY98BBFCt6hwHOBRuA64PLKk919q5m9hmIi6gYzuwbYBDwfOLJc/vURaJeIiIiIiIiIiIwCIzEBdT3FxNEyiq/cNQNbgFuAq4Gr3Xe8Tt7dv2tmZwHvBF5IMVH1APA24MrhzxcRERERERERkbFrnyeg3P1G4Ma9qHcr8Jx93b6IiIiIiIiIiIxu1U7BExERERERERGRg5wmoEREREREREREpKpG4h5Qo9KgO+1BdHsuCj66+1RvEJUN0Dghjp2vycSzNwcx4PW1cZ0JdfG2ohhtgJlB3Htdpn25G3HVZLbVPxD31eSmdPx2rk7fQNySXAx3e3dfcnljfdyHg5kXnXvNc6bE0fL1QVT5Mw+bEdaZUBvPDTc2xe3vz/RV5J5VW8OyQ2ZMDMvWtA0kl6/PxNHPndoYljVkIt1rM+M02p+5MTV7cry/7lsdR8FHY6A/M3BaWyaEZTnd29L9C7C1O31ua22JX3NdZkyt2dITlrU0ps9TX7vqkrDOX7/yg2HZ9d94f1iWG78r2zuTy084ZEpYJ9+H6fMDQHSoTwzO2QCrM32YOyai95ZpE9PnSoBDZ08Ky3L7edHM+HiOXnPu/BudYyHf9wSHxKGzmsMqExPvs7n3LxEREREZfXQFlIiIiIiIiIiIVJUmoEREREREREREpKo0ASUiIiIiIiIiIlWlCSgREREREREREakqTUCJiIiIiIiIiEhVaQJKRERERERERESqKs6UHuMm1NWwNIh07u2Lo8qjKOqmRAR0RWdvOhIdoCmIiIc4QnogE+m+LYjshnxUfdTGqZmo71zAtXvcxpy+oP31dfFcaN9AHOfdkOvfII4897oGM68rF2/eUhP34+bObcnlc1oawzodmTG1anN3WHZYEM++Yn06wh7y0ey5CPbZU9Ltnzs1rMIDazvCstbJDWFZY2Y/RxH3jfXx/qppjEfBvGlNYdmqTem+nzM13pe1mQFXnxlTTZn2z5qT3s+/Xbk5rHPYrHQdgL6B+LzSuS19/E1vjPfX9d94f1h2zosuDct+nqn3zTvWJpcf2zolrBONUYCO3vi8cuqi6cnljwb7H2BJa/r9BvL9+7P71iWXnzQvPpCi9w7Ivw/k6kXvOx098bno1pUbwrK/PH5+WPbIxnQ/NjfEY35C4j3CojdsERERERmVdAWUiIiIiIiIiIhUlSagRERERERERESkqjQBJSIiIiIiIiIiVaUJKBERERERERERqSpNQImIiIiIiIiISFVpAkpERERERERERKqq7kA3oFq29Q/y0PquZNn05vqwXhRFPWViXKe5Ie7GXIR1tK1t/XFk97RM2/uD9QHUBHHVvX3xtnIJ1/GW8lHfHb3p/pheNyHelsdb68/Em0evua27L6wzoTaek83Fm2/p3BaWdQUx9rnY9lwbp0+K+6o72FbThNqwTtQ+gPpMf9TVpvvjqttXhnVeecqisGxTpg8nNcbH2Cd/sSK5/EPPOSqs0zcQj6n2zDH74RseSC6/4rxj423FQzQ7pnL7JTq3LZg2MazTn3nNmUOMqIULpjXt1bZ+/o33h2XnvujSsOyTn7k4uXz2lMawTmdwvgFozxxjq9rS/dvdH++TNVt6wrJFM+P9ctzsKcnlDXXxsZc7B6xt6w3LHt3UHZYdPb8luXxi5txx0aduDcsWvuMZYdnMlnT7/+WGP4d1Ln364Tsty41bERERERl9dAWUiIiIiIiIiIhUlSagRERERERERESkqjQBJSIiIiIiIiIiVaUJKBERERERERERqSpNQImIiIiIiIiISFVpAkpERERERERERKrKchH3Y5WZLT9x2ckn33Tb7cnyTPI5vf3pzPRcHH1ufTUWF3YHMevNmcj5nkw0e0P9ns8nDmZ2f+515VjmNW8L+je3rYFMI3Ojd2+aX5tpSG5f5tqxsT0di74mE5c+b1ocLd/eHUfLR/U2dmwL6+T6d8H0prAsWue9a9vDOkfMSke9A7Rkxn1jJgr+gTUdyeW5Pswdz9EYBVgf7MuOnnifdPXFx+ysloawbHFrc1gW9f2qTd1hnWPmx32/NTOmovPKvY/F+3lle2dY9s071oZlzzluZlj296+/PLl89S0fD+sMZN7f7ludHjcARwd9tTZzzM6d+v/bu/NoS6vyzuO/p+4831v31lxAFQgUUERFQAQFJUYTE2fIIol2Yicm2ok0GmyzEjWxo92xjWLEXrRRM2h6BRSiGQQ1gqQiDnRQgjJIGAqqqIm68zzV7j/ec+Vyaz8PVcV9q+499f2sxTrW3mefs89+97tP7s573p8/32Zm/Tm10zlmm4PjH5kJzudgCVONU/nIPv9Y3r233617zVkb3LqBselsubdWSvnx/bmXvUiSdM/d3z/CbysAAAAcTVwBBQAAAAAAgFKxAQUAAAAAAIBSsQEFAAAAAACAUrEBBQAAAAAAgFKxAQUAAAAAAIBSVW0K3k897/nnfGPb97L1LQ1+2taYl0zX4KdwRQlYTUF6lyc6JIPj+fQgSeoJErW84/zY/jG3zdoOP9Up6kdHc51b52ms88cpSmnbH6Qmecc5OibRsawNEvIOHMF5NDrpp6NFfWwO6rwUv6h/URLigaCyrja/fz0RpL71j/rzJhKdf16iXWOQCrlvyJ83q4LzqH80nz63srXebTMx7SegRdFdUaq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      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 300,
       "width": 592
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "matrix_train = kernel.evaluate(x_vec=train_features)\n",
    "matrix_test = kernel.evaluate(x_vec=test_features, y_vec=train_features)\n",
    "\n",
    "fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n",
    "\n",
    "axs[0].imshow(np.asmatrix(matrix_train), interpolation='nearest', origin='upper', cmap='Blues')\n",
    "axs[0].set_title(\"training kernel matrix\")\n",
    "axs[1].imshow(np.asmatrix(matrix_test), interpolation='nearest', origin='upper', cmap='Reds')\n",
    "axs[1].set_title(\"testing kernel matrix\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}