{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Large"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from src.Utils import save_results, get_means\n",
    "from src.Dataset import dataset_csv\n",
    "from src.ExistingAlgorithms import area, sklearn_available\n",
    "from src.GaussianMixture import gaussian_mixture\n",
    "from src.Parametric_UMAP import load_pumap\n",
    "\n",
    "from sklearn.decomposition import PCA\n",
    "import torch\n",
    "import umap\n",
    "import numpy as np\n",
    "\n",
    "SKIP = 1\n",
    "PATH_INIT_MEANS = 'Preprocess/Large/Mean_Clusters'\n",
    "PATH_SAVE_LD = 'Preprocess/Large/Low_Dimension'\n",
    "PATH_DATA = '../data/photon-number-classification/data_ottawa'\n",
    "PATH_RESULTS = 'Results/Large'\n",
    "PATH_SAVE_D = 'Results/Large/Density'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[INFO] Found 12 files.\n"
     ]
    }
   ],
   "source": [
    "data_train, data_test = dataset_csv(\n",
    "   PATH_DATA,\n",
    "   SKIP = SKIP\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(550000, 200)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_test.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### AREA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(550000, 1)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_AREA  = area(\n",
    "   X_high = data_test+1, \n",
    "   filtering = True, \n",
    "   plot_filter = True, \n",
    "   threshold = 0.01, \n",
    "   critical_frequency = 0.1,\n",
    "   save_path = PATH_SAVE_LD\n",
    ")\n",
    "X_AREA[::SKIP].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "name_method = 'AREA'\n",
    "gm = gaussian_mixture(\n",
    "   X_AREA[::SKIP],\n",
    "   data_test,\n",
    "   number_cluster = 21,\n",
    "   cluster_iter = 3,\n",
    "   means_init = get_means(name_method, PATH_INIT_MEANS),\n",
    "   tol = 1e-4,\n",
    "   info_sweep = 0,\n",
    "   plot_sweep = True\n",
    ")\n",
    "\n",
    "gm.plot_density(\n",
    "   bw_adjust = 0.03, \n",
    "   plot_gaussians = True, \n",
    "   text = name_method,\n",
    "   save_path = PATH_SAVE_D\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gm.plot_confidence_1d(expected_prob = None)\n",
    "save_results(\n",
    "   gm = gm, \n",
    "   name_method = name_method, \n",
    "   path = PATH_RESULTS\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Parametric UMAP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(550000, 200)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_test.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/nicolasdc/miniconda3/envs/libre/lib/python3.12/site-packages/pytorch_lightning/utilities/parsing.py:208: Attribute 'encoder' is an instance of `nn.Module` and is already saved during checkpointing. It is recommended to ignore them using `self.save_hyperparameters(ignore=['encoder'])`.\n"
     ]
    }
   ],
   "source": [
    "model = load_pumap('src/Parametric_UMAP/model 1D/modelLarge.ckpt').to('cpu')\n",
    "BATCH = 10\n",
    "X_PUMAP = np.zeros((data_test.shape[0], 1))\n",
    "\n",
    "for b in range(BATCH):\n",
    "   X_PUMAP[b::BATCH] = model.encoder(torch.from_numpy(data_test[b::BATCH]).view(-1,200).to(dtype=torch.float)).detach().numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "name_method = 'PUMAP 1D'\n",
    "gm = gaussian_mixture(\n",
    "   X_PUMAP,\n",
    "   data_test,\n",
    "   number_cluster = 21,\n",
    "   cluster_iter = 5,\n",
    "   means_init = get_means(name_method, PATH_INIT_MEANS),\n",
    "   tol = 1e-4,\n",
    "   info_sweep = 0,\n",
    "   plot_sweep = False,\n",
    "   latex = False\n",
    ")\n",
    "\n",
    "gm.plot_density(\n",
    "   bw_adjust = 0.01,\n",
    "   plot_gaussians = True, \n",
    "   text = name_method,\n",
    "   save_path = PATH_SAVE_D\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gm.plot_confidence_1d(expected_prob = None)\n",
    "save_results(gm = gm, name_method = name_method, path = PATH_RESULTS)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# pca = PCA(n_components=1).fit(data_train)\n",
    "# X_PCA = pca.transform(data_test)\n",
    "X_PCA = sklearn_available(\n",
    "   X_train = data_train, \n",
    "   X_test = data_test, \n",
    "   path_save = PATH_SAVE_LD, \n",
    "   function = PCA, \n",
    "   n_components = 1, \n",
    "   random_state = 42\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "name_method = 'PCA 1D'\n",
    "gm = gaussian_mixture(\n",
    "   X_PCA[::SKIP],\n",
    "   data_test,\n",
    "   number_cluster = 17,\n",
    "   cluster_iter = 5,\n",
    "   means_init = get_means(name_method, PATH_INIT_MEANS),\n",
    "   tol = 1e-4,\n",
    "   info_sweep = 0,\n",
    "   plot_sweep = False,\n",
    "   latex = False\n",
    ")\n",
    "\n",
    "gm.plot_density(\n",
    "   bw_adjust = 0.03,\n",
    "   plot_gaussians = True, \n",
    "   text = name_method,\n",
    "   save_path = PATH_SAVE_D\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gm.plot_confidence_1d(expected_prob = None)\n",
    "save_results(gm = gm, name_method = name_method, path = PATH_RESULTS)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### UMAP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_l_UMAP = sklearn_available(\n",
    "   data_train, \n",
    "   data_test, \n",
    "   PATH_SAVE_LD+'/umap1d', \n",
    "   umap.UMAP, '100.npy', \n",
    "   n_components=1, \n",
    "   n_neighbors=100, \n",
    "   random_state=42\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "name_method = 'UMAP 1D'\n",
    "gm = gaussian_mixture(\n",
    "   X_low = X_l_UMAP[::SKIP],\n",
    "   X_high = data_test,\n",
    "   number_cluster = 20,\n",
    "   cluster_iter = 5,\n",
    "   means_init = get_means(name_method, path = PATH_INIT_MEANS),\n",
    "   tol = 1e-4\n",
    ")\n",
    "\n",
    "gm.plot_density(\n",
    "   bw_adjust = 0.03,\n",
    "   plot_gaussians = True,\n",
    "   text = name_method,\n",
    "   save_path = PATH_SAVE_D\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3eHl54Z9//sHt27exa9cuvbexV9VrWJr6sfz9/XXK5HL5Y8+dO3cu+vTpg2+++QYikQgffPCBwfPSgJJbvdWPb2tri2effRbLli3DggULAMDgrT6exMfHB1999RUkEgmWLVumt7/L07/GqMj3JBmPiQ09dc6cOYOFCxfC1tYWX331VZmXXR41ZswYAMDu3bt1yo4cOYLPPvtMM1+gefPmaNu2LdLT0/HPP/9o1RUEQdOGuk1zePnllwGUrPD8KH3PESiZXOni4oK//vpL72W0NWvW4J133jFqTRF9RowYAVtbW/z55586W2ncu3cPM2fO1CRfEolEk5z+/vvvOm1lZWVh7NixOHHixBMft3RbO3bs0ClXHxs5ciQkEolWWelJxFOnTtWsdv2oqnoNS1PP24mKitIpO3/+fJnn/frrr4iNjcX777+P9u3bY+zYsUhOTsYnn3xi8GN/8803mgm7paknMuu7FGqqDh06YMaMGSgqKtLb3+XpX2NU5HuSjMfEhqyeSqVCVlYWTp06hblz52L8+PFwd3fHzz//bNSQ+pAhQ/DSSy9h9+7dWLFiBTIzM5GXl4e//voL8+bNw+jRo7UmCi5ZsgR169bFnDlzcOzYMRQWFiIlJQUfffQRLl68iMmTJxs9pF+R+vXrhz59+uDMmTNYvHgxMjMzUVBQgO3bt+PkyZN6z3F3d8eyZctQWFiI8ePH4/z588jPz0dqaipWrVqFNWvWYN68eQYni2Vp3Lgx5s2bh8TERLz77ru4e/cuFAoFLl26hDfffBPNmzfH0KFDNfXVr6V63kpiYiJkMhnOnTuHCRMmwN/fH+PGjTPosdVtrVu3Dhs2bEBubi5yc3OxceNG/Pjjj+jYsSMmT56s91z1JOKbN29i6NCheucQVdVrWNro0aNhb2+Pbdu24ZdffkF2djbu3buHTz/9tMxRg7t37+Lzzz/H0qVLNXNL3n33XQQEBGDXrl04cOCAwY+/adMm/Pbbb8jIyIBCoUBUVBSWLFkCOzu7Ck/uJ0yYgD59+pRZXp7+NUZFvifJOCKhomYiElWCR1duLW3RokUYPHiw5vuffvoJixYt0lvX2dkZtWrVQsuWLdGjRw/07t1b5zZiQwilVh6Ojo6GSCSCv78/RowYgZdfflnnWnpmZiZWr16NQ4cOITk5WbPy8JgxY7T2uNG32itQslJtYmKizg//evXq4ciRI3pXvgUevjb6Xr/w8HBMnToVQMnKqOvWrcPvv/+O5ORk1KxZE127dsV7772nuesIAHr37q01ITMmJgbfffcdTp8+jfv376NWrVpo3rw5XnvtNbRr105T79GVaoGHK9POnj1b56/m0rEBJZcx1qxZg8jISMhkMtStWxe9e/fG66+/rvOLv6ioCFu2bMHOnTtx+/ZtSCQS1K1bF/369cPo0aONShSKioqwefNm7Nq1SzPJvFGjRnjppZcwcuTIx753Jk6ciIiICBw/flwzQVef8ryGgPYKx4aIiorC119/jStXruD+/fvw8fHBCy+8AJVKhXXr1mnqRUdHa60kXPqxHj0OlLxHx4wZo3NcvSpxdHQ09uzZg5MnTyI5ORn5+fmoXbs22rRpg4kTJ+pdsfdR+l4D9WdAn/z8fAwbNgzu7u46qyADxvWvvuf8uM9X6dWlK/I9SYZjYkNERERWg5eiiIiIyGowsSEiIiKrwcSGiIiIrAYTGyIiIrIaTGyIiIjIajCxISIiIqvBxIaIiIisBjfBrEJpaYbvr2IIsVgEDw9nZGbmQ6XickTWgv1qfdin1on9WrW8vFyeXAkcsanWxGIRRCIRxGLdZdup+mK/Wh/2qXViv1omJjZERERkNSw6sVEoFPjqq6/QokULzJ492+R2VCoV1q9fj4EDB6J169YIDQ3FlClTcP369ceed/HiRUyaNAmhoaEIDg7G4MGDsXXrVnAXCiIiIstksYlNREQEBg4ciC1btqCoqMjkdlQqFaZPn44lS5Zg+PDhOHXqFH799Vfk5+djyJAhZW4bf/DgQc3W9du3b8eJEyfQt29ffPzxx5gzZ47J8RAREVHlscjEZu/evQgPD8eYMWMwa9ascrX1yy+/4MCBAxgzZgxGjhwJJycnNGjQAN988w2cnJwwc+ZM5OXlaZ2TkZGB2bNno3bt2vjyyy9Rr1491KhRA6+//joGDRqE7du3Y9++feWKi4iIiCqeRSY2vr6++OOPPzBq1CiIROWblLVu3ToAwLBhw7SOu7m5oU+fPsjIyMCOHTu0yrZs2YL8/Hy89NJLcHBw0CobPnw4AGDNmjXliouIiIgqnkUmNsHBwfD29i53Ozdu3EB8fDw8PDzg7++vU962bVsAwJEjR7SOq79v06aNzjktWrSAvb09rl69itTU1HLHSERERBXHIhObihIVFQWgZARIn/r162vVAwClUombN2+WeZ6NjQ18fHx0ziMiIiLzs+oF+tLT0wGUXHbSR308MzMTKpUKYrEYOTk5UCgUjz3P1dUVAJCWlmZUPGJxxa53sO3YLfxxMg4iABKJCDYScclXsRg2EhEkkpKvNhIxJOJS5aW+t5GIIBGXqicRw0Ys0qqnjlsiFkH8YM0Gsajke5H6uFgEsQiQiMUQi6Gp97BMpNOWSCSC+tUQifDw+wdf1VchHx7Hg+MizTmachEggqjUsZKv6hvYBAEQoP4GEACtu9tK3+gmCA9qPqyuqauuJxIBtjZizT+JuOL+RpBIxFpfqfpjn1on9qtlsurERiaTAQBsbW31ltvZ2WnVdXZ2hlwu1xx70nml6xrCw8O53HOGSrt6JxPFShUAoEgJAMoKa5uMIxYBtrYS2NmIYWsjga2NGHa2Jf/XHLMVP1KuLntQz/bh19ruTmhY1xUeNZ0q9D1D5uXq6mjuEKgSsF8ti1UnNo6OJW+2sm4XLyws1KlberLwk857dGLxk2Rm5lfoiM3UV1rhSmwWcnMVKCpWolgpoFilQrFSgFKpglIpoFj54PsHxx/9XqlUoVipglIllCp/8H2xCipBgFIlgEv3PJ5KABSFSigKlQBMX57gUc6OtvCrXQP11f+8XVDPyxn2tpIKewyqfBKJGK6ujsjJkUH54I8Rqv7Yr1XL3d3ZoHpWndh4enoCALKzs/WWq4/XqlUL4geXElxdXWFvbw+FQoHs7GxNG6Xl5OQAALy8vIyKR6USKnQ/Efca9hjYtTGysvJRXFy5HypBEKAShAfPAVCqSn2vOS5AWer/KgGacqVKu47w4Ljw4LIQHlwqEgT15Z6HydSjl4KEB9eS9J1XukyTQj5ymQqA5tKVupKoVD11ecnXh5fLHh4XQRAEFClVKC5WoUipQlFxyb/iUv83pFynXpEKpd8h+bIiXI/LwvW4LK0YvN2d4Fu7Bup7OT/4WgO13Bw4umPhlA/6mqwL+9WyWHVi07RpUwBAQkKC3vL4+HgAQGBgoOaYRCJBQEAArly5goSEBDRu3FjrnOLiYiQnJwMAgoKCKiNsiyQSiSARicBLyZVLPb8nv0jA1Zv3EJeSi4R7eYhPy0dOfuGDOkBKZgFSMgtwrtT8dUd7CXy9amgSHd/aNVDP0xmO9lb9MSci0mLVP/ECAgJQv359xMfHIy4uDg0aNNAqv3DhAgCgR48eWse7d++OK1eu4MKFC+jWrZtW2dWrV6FQKNC8efMKuSWdqDSRSARbGzG8azvD3ckGHZo9/CswO78QCWl5JYnOvZKvSRn5KFaWjPHIFErEJGQjJkF7hNKrpgN8vUouZfl61UCjuq7wcDXuMioRUXVhFYlNdHQ0Pv74Y7Rv3x7vvvuuVtmECRMwf/58bN26FTNnztQcz8nJwf79+1GrVi2EhYVpnTNixAisW7cOu3fvxuTJk2Fvb68p++WXXwAAEydOrMRnRKTLzdkObs4eaO7voTlWrFQhNbMA8Wl5SLiXj4S0kqQnK1ehqZN2X460+3JExpTcJSgC0L1NPQx+tjGcHKziRwARkYZV/FTbunUrIiMjERkZifHjx8Pd3V1TNmzYMJw8eRI///wz/Pz8MHDgQKSnp2P+/PnIz8/Hd999hxo1ami1V6tWLSxatAjvvPMOZsyYgTlz5sDV1RVbt27Fjh07EBYWhn79+lX10yTSYSMRo55XDdTzqgE0e3g8T1b04BJWychOQloeEtPyUVhcMofnyIVEXLiRhpHPS9E20Itzc4jIaogEC92quvS8l0ctWrQIgwcP1nx/8uRJTJ8+Hc888wxWrFih80NaqVRi48aN+P333xEXFwdHR0e0bdsW4eHhaNas2aPNa1y8eBErV65EZGQkCgsL0ahRIwwbNgzDhg0z6RdBWlqu0ec8jo2NGO7uzlUyeZiqTmX1q0olIDmzALtO3MG5qHua48FNPDGqlxS13Hh5qrLws2qd2K9Vy8vLxaB6FpvYWCMmNmSIqujXizfTselgNDJySi5Z2dtKMKhrQzzfzrdCFxukEvysWif2a9UyNLHhTzCip1BwE08snNgBvdvXh1gkgqJIia1HbmLhz+cRm5Jj7vCIiEzGxIboKWVvJ8GwHgH4aGw7+Ncp+UsoLjUXn/x8DpsP3YBMUWzmCImIjMfEhugp16COCz4c0w4jnw+AvZ0EggAcOpeAD9ecRuQN4/ZDIyIyNyY2RASxWITn29XHpxND0UZasqJ2Vq4Cy7f/h+XbLiMzx7h90YiIzIWJDRFpeLg6IHxwS0wd3BLuLiXrN0XGpGPumtP461x8hW4JQkRUGZjYEJGOEKkXFk4MxfPtfCESlWzwueVQDBauP4e4lIq9u4+IqCIxsSEivRztbTDyeSk+HNMOft4li1jGppRMLt56JAbyQk4uJiLLw8SGiB6roY8rPhrbDsN7NIG9rQQqQcCBM/H4aM1pXLqZbu7wiIi0MLEhoieSiMV4ob0fFk4MRXATTwBARo4C3/x+GSt3/Ke1NxURkTkxsSEig9Vyc8DUl1tiSlgL1KxhBwA4F52GD9dE4MiFBE4uJiKzY2JDREYRiURoG1gbCyd2QM82vhABkCmU2HjwBj7beB6J6fnmDpGInmJMbIjIJE4ONhj1ghRzxrSFr1fJ5OLbSTlYsukCUjMLzBwdET2tmNgQUbk0ruuGeePaYchzjSESAXmyInz12yXkFhSaOzQiegoxsSGicrORiNG3QwOMfF4KALiXJcPybf+hqFhp5siI6GnDxIaIKkzPtr7o1a4+AOBmYjbW/nEdKoETiomo6jCxIaIKNaxHE4QElNwSfub6PWw/dtvMERHR04SJDRFVKLFYhDcGNkdDHxcAwL6IOBy7mGjmqIjoacHEhogqnL2tBNNeaQ1PNwcAwIYDN3DldoaZoyKipwETGyKqFG7Odpg+pDWc7G2gEgSs3HkF8ffyzB0WEVk5JjZEVGnqejpjyuCWkIhFkBcq8fVvl7j9AhFVKiY2RFSpmjZwx7i+QQCArFwFvvntEmQK7gxORJWDiQ0RVbrOLX3wUpeGAIC79/Lw/e6rUKpUZo6KiKwRExsiqhIDO/ujU4s6AIDLtzKw6a8YCFzjhogqGBMbIqoSIpEI4/oGIcivJgDg78hEHDgTb96giIwkCAKy8wtxKzEbkTFpyM7jnDFLY2PuAIjo6WEjEWPK4Jb4bMN5JGcU4NejN+Hp5oB2QbXNHRqRRoG8GOnZMqTdlyM9W4b0+3KkZcuQnl3yfWHRw8uodrZX8FxwXTzfzheebo5mjJrURALHgqtMWlpuhbZnYyOGu7szsrLyUVzM+QrW4mno1/T7Mixcfw45BUWwtRFj5ogQNK7nZu6wKs3T0KfVSVGxEunZct3E5cH3+XLjJ7dLxCK0b+qNvh38NLvdU8Xy8nIxqB4TmyrExIYM8bT06+2kHCzdfAGFxSq4ONli7ui2qO3uZO6wKsXT0qeWRFGoRPy9PCRn5msSlrRsOdLvy3A/z/Cd50UiwMPFHp5ujvCs6QCvB1893RxhayvGsUvJ+OdiIkr/Jg1u4ol+HRqgia/1JuvmwMTGAjGxIUM8Tf164UYa/m/7fxAAeHs4Ye7otqjhaGvusCrc09Sn5pAnK0Jcai7upuSWfE3NQ2pmAQz95ebiZAtPN0d41XSAV01HeLo5wLOmI7zcHODh6gAbif7pqOp+jbqVhn2n4vDP5WQUKx/2r9TXDX07NECrxrUgEokq4Jk+3ZjYWCAmNmSIp61fD56Nxy+HYwCU/CKYMTwEtjbWdV/D09anlUUQBGTmKHA39WECc/deLjJzHj+B18FOoklcdEdeHOBgZ9p000f7NTu/EIfOxePIhUSttZp8vZzRt0MDtG9aGxKxdb23qxITGwvExIYM8bT1qyAI2HwoBofPJwAAOjTzxusDmlnVX7hPW59WBJVKQGpWwcME5sHXPFlRmeeIREDdWs7w864BP28X+Hm7wNfLGTUcbSvl/VRWv8oUxfj7YiIOnolHdv7Dy16ebg7o3d4PXVr5wN5WUuHxWDsmNhaIiQ0Z4mnsV5VKwIrt/+HizXQAQP9O/hj8bCMzR1VxnsY+NUZRsQpJ6fkPkpiSBCb+Xh4URcoyz7G1EcPXqwYaPJLE2FVhwvCkfi0qVuLklRTsP30XqVkyzXEXJ1s839YXPdr6wtnB+i69VhYmNhaIiQ0Z4mntV0WhEos3X0BcSsnnZHzfIHRtXdfMUVWMp7VPHyftvgynrqbgwo00JKblQ6kq+1eRo71NqQSm5KtPLSezX9YxtF9VKgEXbqThj4g4zfsbAOztJHguuC5eeMYP7i72VRFytcbExgIxsSFDPM39ej9PgU/Xn0NGjgISsQjTh7ZGc38Pc4dVbk9zn5aWJyvCuah7OHk1BTcTsvXWcathhwYPEpgGD0ZiPN0cLPLSpLH9KggCrsVlYd+pOFyPy9Icl4hF6NiiDvqG+sGnlnNlhlytMbGxQExsyBBPe78mpuXhs43nIVMo4WgvwQevtq3264I8zX1aVKzC5VsZOHU1BZdvpaNY+fBXjghAUAN3NPN311xOcnO2M1+wRipPv95JzsGfEXE4H52muXtLBKCN1At9OzRAo7quFR5vdcfExgIxsSFDsF+Ba7GZ+OrXS1CqBNRytcfcMe1Qs0b1Hap/2vpUEATEJGQj4moKzkbd01nwztfLGR1b1EGHZnWq9SWYiujXlMwC7D8dh3//S9G6HBfkVxMvdWmIQD/3igq32mNiY4GY2JAh2K8l/rmchB/3RQEAGni7YNaoEJNvyzW3p6VPUzILcOpKCk5dTUF6tlyrrGYNO3RoVgcdW9RB/drVewROrSL7NStXgb/OxuPoxUQoCksmTYtFIswZ3ZajNw8wsbFATGzIEOzXh3Ycv409J2MBlKzmGj64JcRiy5tr8STW3Kc5BYU4e/0eTl5JwZ3kHK0ye1sJ2gZ6oWOLOmjq514t++5xKqNf8+VFOHohEXtPxaKwSIXgJp6Y9kqrCmm7ujM0samef/4Q0VNhUNeGSMuWIeJqKi7eTMeWQzEY2SvAIieSPk0Ki5S4eDMdp66k4MqdTK1LKCIR0LyhBzo1r4OQAC/Y23G9FmM4O9iifyd/yAuV2BcRh4s305GYlod61XyeWVViYkNEFkskEmF836bIzFHgRvx9HL6QAFdnWwzo3NDcoT11VIKA6Lv3cepqCs5H34NMob3GTIM6LujYvA5Cm9aGWzWeD2UperXzxcGz8ShWqrAv4i5eH9DM3CFVG0xsiMii2dqIET64JRZtPI/kjALs+OcObGzE6BvawNyhPRVSMgvwz+UkRFxNRVau9tYFtVzt0aF5HXRoXgf1PHmbckVyq2GPrq18cDQyEaevpSLs2YbwdHM0d1jVAhMbIrJ4NRxt8d7wECzZdAH37svw29FbsBGL0euZ+uYOzWpl5six88Qd/PtfstbO1Y72ErQLrI1OLeogoH5NiHlZsNL0DvXD3xcToRIEHDgTj1G9pOYOqVqokMQmLy8P169fR3p6Ovr27Qu5XA4HB4eKaJqICADg7mKP90eEYPGmC8jIkWPL4RjY2IjRPaSeuUOzKnmyIuw7FYdD5xM0O1VLxCK0bFQLHVvUQXCTWrC14byZqlC7piPaN/XG6Wup+OdSEgZ09oerU/VZ58dcyrUedWZmJmbOnImOHTtizJgxmDFjBgDg7Nmz6N27N86cOVMhQRIRAUAtNwe8PzJEs/bJhgPR+Odykpmjsg6KIiX+OBWLWd+dwv4zd1GsVEEkAp5t7YMlb3bEtFda4Zmg2kxqqli/DiWXXAuLVTh0LsHM0VQPJic29+/fx4gRI7B7926IRCLUq1cP6jvHmzVrhlatWmHSpEm4ceNGhQVLRFS7piNmjgjRrFD7074onLqaYuaoqq9ipQpHIxMx+/tT2HbsNmSKksX02kq9sHBiKMb1bQoPV47Am0v92jXQqnEtAMCR8wma/qGymZzYfPfdd8jPz8eXX36JyMhIHDp0SFNWq1YtfP7553j55ZexZs2aCgmUiEjN28MJ740IgYuTLQQAa/Zew9moe+YOq1oRBAFnrqfiozWnseFANLLzCgEAgfVrYu7otpgyuCX3LbIQ6lGbAkUxjl3kCOWTmDzH5vDhw1i8eDG6dOlSZp1x48Zh3Lhxpj4EEVGZ6nk6473hIVi6+QLy5cX4YfdV2IhFCJF6mTs0i3ctNhO//30LsaV2mq5fuwZe7tYYLRt5cJ0gCyOtXxNNfN1wMyEbB87eRc+2vrC1Me/O5pbM5FcmNTUVoaGhj63j6emJtLQ0Ux+CiOix6teugfeGh8DR3gZKlYCVO6/g8q10c4dlsWJTcvDFL5FY9stFTVLj6eaANwY0w8fjn0GrxrWY1Fgo9ahNdl4hL70+gcmJjaOjI1JSHv/i3r59G87OHMokosrToI4L3h3WGg52EihVAlZsv4KrdzLNHZZFSc0swKqdV7Dgp3O4GpsFAHB1ssWoXlJ89kYHdGheh7dtW7hWjWuhnlfJ79M/I+KgUnE3pLKYnNiEhITgk08+QV5ent5ylUqFr776Cm3atDE5OCIiQzSu64bpQ1rD3laCYqUKy7ddRvTdLHOHZXbZeQpsOBCND9ec1sxBsreTYFCXhlg0qSN6tvWFjYSXNKoDsUikGbVJzZLh/A1eDSmLyXNsJk6ciDFjxqBHjx548cUX0bRpUwDAnj17EB8fj127diEhIQGbNm2qsGCJiMoirV8T015pha9/u4TCYhW+/u0yZgwLRhNfN3OHVuUK5MXYfyYOB8/Go7Do4Vo03dvUQ/9OXAulumrftDZ2HL+N9Gw5/jgVi3aBXrx0qEe5dvf+9ddfsWDBAiiV2nuGCIIAGxsbfPzxxxgyZEi5g7QW3N2bDMF+LZ8rdzLw7e+XUawU4GgvwXvDQ9DQx9WsMVVVnxYVK3HkQiL2noxFvrzktmARgA7N6yCsa0N41uSS/BXJHJ/VIxcSsPFgyTIq7w5rjRYNa1XJ41oCQ3f3LldiAwC3bt3Cli1bcOnSJeTk5MDV1RWtW7fGiBEj0Lhx4/I0bXWY2JAh2K/ld+lmOlZs/w9KlQAnexu8PyIEDeoY9kOxMlR2n6pUAv69koxdJ+4gM+fhfk6tGtfCy90ao35t7gxdGczxWS0sUuL9VSeRW1CEIL+amDny6ZnuUWWJTWVRKBRYvXo19uzZg6SkJLi5uaFjx46YNm0a6tc3bn+YqKgorF27FmfOnEFGRgacnZ0REhKC119/HW3bttWpn5CQgJ49ez62zejoaKNiAJjYkGHYrxXjfHQaVu28ApUgoIajLWaOCIGvmX7BV1afqlQCzkXfw55/Y5GYnq853rieK17p1hiBfu4V9liky1yf1b0nY7H9+G0AwNwxbdG47tNxudXQxKZSZo0VFhaW63y5XI6xY8di7dq1mD59Os6cOYM1a9bgxo0bCAsLQ1RUlMFt7du3D6+88gquX7+OZcuW4fTp05p5P6+++ip2795d5rkNGzYs8x8RWba2gV54Y2AziEQl+x8t+yUSyRn5Tz6xGigqVuHYxUTMWR2B73Zd1SQ1dT2dMXVwS8x5tS2TGivWo009ONiVbG2x71ScmaOxPCaP2MTExGDmzJkAgF69emHy5Mmasp9//hm7du3Cxx9/jNatWxvd9ueff441a9Zg3rx5GDVqlOb43bt30adPHzRq1Ai7du2CRPL4PUsyMzPRs2dPKBQK7Nu3D/7+/pqywsJC9OnTB5mZmdi/fz/q1KmjKVOP2JgyKvM4HLEhQ7BfK9bJK8lYu/c6BABuNewwe2QbeHs4VWkMFdWn8sKSlWcPnLmL+3kP/4D0qumA/p380bmFD8RiTiatKub8rP529Cb+PH0XALBwYijqelr/0iqVPmKzfft2XL9+HQEBAejUqZNWWceOHVG7dm2MHTvWqNEVAJDJZNi8eTNsbW0xaNAgrTI/Pz907NgRMTExOHbs2BPbOnr0KAoKChAQEKCV1ACAnZ0dnn/+echkMmzZssWoGImo+ujUwgdj+wYBKFncbOmWSKTdl5k5KuPkyYqw85/beH/lSWw9clOT1Ph6OeONgc3w2Rsd0LVVXSY1T5Fez9TX3Kr/ZwRHbUozObE5d+4c3nnnHSxduhTBwcFaZVKpFN999x2GDx+O//u//zOq3YiICBQUFCAoKEjv4n7qOTFHjhx5YlvqVY89PT31lnt7ewMA/vnnH6NiJKLq5dnWdfHqC1IAQFauAp9viURmjtzMUT1ZVq4CvxyOwfsrT2L3vw/vdGpSzw3TXmmF/73WHh2a1YFEzLVonjY1a9ijS8uSKw0R11KRkW357+eqYvI6NsnJyRg8ePBj64wfP97o273VIzy+vr56y9UThw0ZCfLw8AAApKfrX2JdffzWrVt6y1euXIk//vgDSUklm441bNgQ/fr1w+jRo2Fvb//Exyciy9GjjS+KlQJ+ORyD9Gw5lm6JxKyRbeDuYnmf5dTMAvx5Og7//pcCZakVZls08sCLHRpAWr8m1y8h9An1w7FLSVCqBBw4excjn5eaOySLYHJik5OTAze3x8/Ednd3x/37941qV51slNW2q6urVr3HefbZZ2Fra4uYmBjExsZqXY5SKpWay1lyuRwKhUInWbl69Sq++OILNGrUCFlZWdiyZQuWLVuGffv2Yf369ahRw7g7LMRiUYUOFUseDENKuHKoVWG/Vp5+HRtAJQj49chN3MuSYdkvkZgzui3calRucmNon8al5GLvyVicuZ4K9exHEYBnmtZG/07+8Dfzejykzdyf1bpeNRDa1BsR11Jx/FISwp5tBBcuvmh6YlOnTh2cPXsWnTt3LrPOmTNn4OPjY1S7MlnJtW9bW1u95XZ2dlr1nhTjjBkzsHjxYoSHh2P+/Plo2rQpUlNTsXz58jK3g/D09MSaNWvQpUsXzV9F3t7emD59OlJTU7F9+3YsWbIEn3zyiVHPzcPDuVL+ynJ15aJb1oj9WjlGv9gcNrY22HwgCskZBVj2y0V8+lbnSk9ugLL79OrtDPx2+AbOP9j2AABsJCJ0b1sfg7s3gW9t863BQ09mzs/qiD5NEXEtFYVFKvzzXypG9QkyWyyWwuTEpmfPnpgzZw6WLl2qd5fviIgIfPjhh+jbt69R7To6lrxBioqK9JarbyVX13uS8ePHo1GjRvj555/x1ltvQSaTwcfHB3369MHYsWMxbNgw2Nraao3WODg4oGvXrnrbGzVqFLZv3449e/bgo48+0iRahsjMzK/wERtXV0fk5MigVPLuGWvBfq18vdvVQ26uHHtOxiIuJRdzVp7AB6+2hbOj/j+oyktfnwqCgMu3MrDn31jciL+vqWtnK0b3kHroE9oAtdwcAABZWdZxm7q1sYTPqruTDVo1rlXyXvrnFroH+8DR3uRf7RbN3d2wO79MfvZvvPEG9u/fj3HjxsHLywuNGjWCk5MTCgoKcOvWLaSnp8PHxweTJk0yql31RN/s7Gy95Tk5OQAALy8vg9vs1q0bunXrpnP83LlzAGDUujQNGpRsQiaTyZCUlKRzt9XjqFRCpezIqlSqeFuwFWK/Vq5BXRtCUaTEwbPxuJuah6WbL2DSwOZwcbKDg52kUkZXlUoVCguVOBt1D/si4hB/7+GosZO9DXq29cXz7Xw1lxPY/9WDuT+rfUP9cPlWBvLlxThyPgG92/uZLRZLYHJi4+7ujg0bNuD9999HZGQk7t27p1Xetm1bLFmyBDVr1jSqXfVmmgkJCXrL4+PjAQCBgYHGB/0I9aThR+/qehyV6uGbl5P3iKovkUiEYT2aQKkUcPhCAu4k52L29xEASjaMdLS3gbODDZwcbB981f6/s4MtnHTq2MLBXgKxnp8NRcVKHL2QiD9OxeJe1sNL6W7Odujd3g/dguta7V/aVLmk9WuicT1X3ErMwYEzd9GjjS9sbZ7eOXrl+hT5+vpiy5YtuHbtGi5evKjZKyo4OBjNmjUzqc3Q0FA4OTkhOjoaBQUFcHLSXkjrwoULAIAePXoY1F5kZCRcXFzQpEkTnbITJ04AAF566SWt4+Hh4WjcuDHeeecdnXPi4krWC3B0dDR6/hARWRaRSIQRvQKgVKnw98UkzXGlSkCerAh5siIAxq15IxLhQcJjC0eHksSnhqMtbibmaN1i7unmgH4dGqBzyzqwtXn8YqNEjyMSidCvQwMs3/Yf7ucV4tTVFDzbuq65wzKbCvnzoFmzZiYnMo9ydHTEqFGjsHr1auzYsUNr5eH4+HicOnUKAQEBWpeWoqOj8fHHH6N9+/Z49913tdpbvXo1ioqKsHr1aq3jUVFROHz4MHr16oV27dpplWVnZ+Pw4cOYOnUqbGy0X6KNGzcCAF588UWj5tcQkWUSi0QY0ycI3YLrIe2+DAWKYhTIi5EvL3rkazEK5EUPvhZDVcai7YIA5D+or4+vlzP6dWiAZ5rW5vozVGFaN/FEPU9nJKbn48/Td9Gl5dO7CnWlj3v27NkThw8fNuqc8PBwnDt3Dl988QU8PT3RrVs3xMbGYvbs2XBwcMCyZcu0tlPYunUrIiMjERkZifHjx8PdXXuPlOPHj+P777/H0KFDYWtri3///RcLFy5Ey5YtsWjRIr0xxMTEYPr06QgPD0fDhg1x//59bN68Gbt27ULTpk0xa9Ys418MIrJYDeq4GLwDuCAIkBcqIVNoJzyPJkGa/yuK4eZij26tfdDC34OXsanCiUUi9O3ghzV7ryM1swAXbqShXVBtc4dlFuXe3TsvLw9xcXGQyWTQ19SYMWNw/fp1o9t9dHdvFxcXdOrUCW+//bbO7t4nT57E9OnT8cwzz2DFihVaPzQOHDiAXbt2ISoqCunp6bCzs0OTJk0wYMAADBs2TGdEBoBm/6jDhw/j+vXryM7Ohr29PRo3bow+ffrg1VdfNWmBPu4VRYZgv1of9ql1srR+LVaq8MH3EcjIkaNBHRfMG9vOqpJoQ/eKMjmxyc3Nxdy5c3H48GGtCbX6mJLYWCMmNmQI9qv1YZ9aJ0vs18PnE7DprxsAgBnDg9Hc38PMEVUcQxMbky9Fffrppzh48CAaNWqEJk2awMnJSSczFAQBu3btMvUhiIiIyAhdWvlg9793kFtQhH2n4qwqsTGUyYnN0aNHMWvWLIwfP/6x9Xbu3GnqQxAREZER7G0leL5dfew4fhvX47JwJzkHDZ+yrThMnpKvUCjwyiuvPLHe+vXrTX0IIiIiMlKPNvVgb1dyg82+U3FmjqbqmZzYBAUFGbTBZVm7dBMREVHFc3awRffgegCACzfSkJzxdG3JYXJi8/bbb2PZsmVl7umk1rNnT1MfgoiIiEzQ65n6sJGIIAD4M+KuucOpUibPsTl//jxycnLw7LPPomvXrvD29jbpFmgiIiKqWO4u9ujUwgfHLyXh1NUUDOraEB6uDuYOq0qYnNisWLFC8//du3eXWc+a7qEnIiKqLvp28MM/l5OgVAk4cCYeI54PMHdIVaJcKw+XtWqvmiAImDt3bnkegoiIiEzg7e6EdoG1cTbqHo5dSsSAzv6o4Whr7rAqXbkSm7CwsCfWmTNnTnkegoiIiEzUr0MDnI26h8IiFQ6fT8BLXRqaO6RKZ/Lk4a1btxpUz9h9ooiIiKhiNKjjghYNSxbpO3QuHvJC/ZuzWhOTE5vWrVsbVK9evXqmPgQRERGVU78ODQCU7Dp//FKymaOpfCYnNmp37tzBsmXLMGbMGPTv3x8AEBUVhZ07d0KpVJY7QCIiIjJdoF9NNKpbsvrwgTN3Uay0jH2tKku5Epsff/wRAwYMwNq1a3HmzBncunULAFBQUIC5c+ciPDwcxcXWP+xFRERkqUQiEV58MGqTlavAqaspZo6ocpmc2Pz9999YsmQJ/Pz8MG3aNCxevFhT1qZNG+zZswc3b940eC4OERERVY7WAZ6o6+kMoGTBPpUgmDmiymNyYvPTTz9h6NCh2LdvH9566y0MGjRIq7xRo0b48MMPuQkmERGRmYlFIvQN9QMApGQWIPJGmpkjqjwmJzbXrl1DeHj4Y+u0a9cOd+8+XUs5ExERWaLQZt7wcC3ZIWBfRBwEKx21MTmxkcvlcHNze2yd/Px8KBQKUx+CiIiIKoiNRIze7UtGbe4k5yIqLsvMEVUOkxMbX19fHDx48LF1jh07hvr165v6EERERFSBnm1dV7P68KHzCWaOpnKYnNj06dMHH330EVauXInMzEytMpVKhR07dmDJkiXo169fuYMkIiKi8rO3lSC0qTcA4FZitlVejjJ5S4WJEyfi0KFDWL58OZYvXw5PT08AwAsvvICUlBQUFRVBKpVi/PjxFRYsERERlY+/jwsAIKegCFm5Cqvb9dvkERsnJyds3LgR/fv3h1gsRlpaGgRBwN27d6FUKjFgwABs2LABDg7W9YIRERFVZw19XDX/v5Oca8ZIKke5NsF0dXXF559/jg8++AD//fcfcnJy4OrqipYtW8LDw6OiYiQiIqIKUsfDCfZ2EigKlYhNyUHbQC9zh1ShypXYqHl4eKBbt256y2QyGRwdHSviYYiIiKicxGIRGni74Eb8fcQm55g7nApX7r2inqRNmzaV/RBERERkBP86JfNsYlNyrW4CscEjNmfPnjW6cWt7sYiIiKyBegJxvrwYadly1K5pPVdWDE5sRo8eDZFIVJmxEBERURVoWOfhBOLY5JynM7EBoLMf1J07d3Dp0iU0bdoUvr6+cHZ2Rn5+PhITE3Ht2jU0aNAAISEhFRkvERERlZOXuyMc7W0gUxQjNiUX7R+sbWMNjEpsFi1apPn/9evXsWDBAuzZswdNmjTRqXvr1i3Mnj0bAwcOLH+UREREVGHEIhH867jgelyW1U0gNnjy8CeffKL1/ZdffomPPvpIb1IDAI0bN8b8+fOxcuXK8kVIREREFU49gTguNRcqK5oTa3BiM2TIEK3vL126hICAgMeeI5VKce3aNdMiIyIiokrj/2ChPplCiXtZMjNHU3FMvt27qKgIt27demydW7duQaVSmfoQREREVEnUIzYArOpylMmJTfPmzTFnzhwkJibqLU9ISMCcOXPQokULk4MjIiKiyuHp5qDZ6Ts2xXq2VjB55eHw8HBMmDABvXv3RqtWrdCoUSM4OjpCJpPh1q1b+O+//wAAP/74Y4UFS0RERBVD9GAC8ZU7mVY1YmNyYtOhQwd8/fXX+PDDD3HhwgVcuHABIpFIsyifu7s7Pv30UzzzzDMVFiwRERFVHH+fksQmLjUPKpUAsbj6r1dXrr2ievXqhS5duuDw4cO4evUqcnNz4eLighYtWqBnz57c2ZuIiMiC+T9YqE9RpERyRj7qedUwc0TlV+5NMB0dHdG/f3/079+/IuIhIiKiKqI1gTgl1yoSm0rfBLNnz56V/RBERERkAncXe7g62wEAYpOtYwJxpSc2Zd01RUREROalnkAMALEp1jGB2OBLUVOmTMHdu3exbds22NnZoWnTpgadx40ziYiILJd/HRdcvpWBu/fyUKxUwUZS6WMelcrgxObixYvIzs5Gfn4+7OzsIAgC6tat+8TzkpOTyxUgERERVR71CsRFxSokpefDz9vlCWdYNoMTm/Xr1yMvLw/u7u6aY0eOHHnieUFBQaZFRkRERJXu0QnE1T2xMXi8afv27Xj33XcRHx8PAAgLCzPoPEPrERERUdWrWcMe7i72AKxjBWKDE5tDhw5h+PDhmstPoaGhBp23aNEi0yIjIiKiKqGZQGwFKxAbnNjcu3cPY8eOhUQiAQB88MEHBp03ZswY0yIjIiKiKqFObOLv5aGouHpvXm1wYmNnZ4e8vDzN9+qtE57k7NmzxkdFREREVabhgwnESpWAhLS8J9S2bAZPHm7SpAnmzp2L4cOHw8nJCSKRCOfOnTM4wSEiIiLL1OCRCcTqRKc6MjixmThxIqZMmYK///4bQMmIzejRoysrLiIiIqoiLk528HRzQHq2vGSeTUg9c4dkMoMTm+7du2PDhg04fPgwMjMzsWvXLgwaNOix5wiCgF27dpU3RiIiIqpk/nVcShKban5nlFGbYLZt2xZt27YFAOzcudOgO5527txpUmBERERUdfx9XHEuOg2JafkoLFLCzlZi7pBMYvK6yYbexs3bvYmIiCyf+s4olSAg/l71nUBscmJj6MJ7vr6+pj4EERERVZFHJxBXV5W+0xXXsSEiIrJ8zg62qO3uCKB6L9Rn1BybR6Wnp2P//v2IjY1FQUFBhd76rVAosHr1auzZswdJSUlwc3NDx44dMW3aNNSvX9+otqKiorB27VqcOXMGGRkZcHZ2RkhICF5//XXNnCF9Ll68iFWrVuHixYtQKBRo1KgRhg0bhqFDh3LXciIisjr+dVxwL0tWrUdsTE5szp07hzfeeAMymeyxCY0pCYBcLse4ceMQHR2Nzz77DM899xzi4uIwa9YshIWFYePGjQZvrrlv3z7MnDkT/v7+WLZsGZo1a4bk5GQsW7YMr776KpYsWYKBAwfqnHfw4EFMnz4dzz33HLZv3w43Nzds2bIFH3/8MS5evMi5Q0REZHX867jizPV7SMrIh7ywGA525Rr/MAuRYOIwy7Bhw5CcnIwxY8agcePGmkX7ShMEAePGjcP169eNavvzzz/HmjVrMG/ePIwaNUpz/O7du+jTpw8aNWqEXbt2abZ3KEtmZiZ69uwJhUKBffv2wd/fX1NWWFiIPn36IDMzE/v370edOnU0ZRkZGejVqxdcXV2xf/9+ODg4aMpmz56NHTt24KuvvkK/fv2Mel5paRWbAdvYiOHu7oysrHwUV/MlsOkh9qv1YZ9aJ2vs1+i7WViyORIAMHtUG0jr1zRvQKV4eRm267jJc2yuX7+Ob775BhMnTkT37t0RGhqK9u3ba/0LDQ2Fj4+PUe3KZDJs3rwZtra2Ouvk+Pn5oWPHjoiJicGxY8ee2NbRo0dRUFCAgIAAraQGKNki4vnnn4dMJsOWLVu0yrZs2YL8/Hy89NJLWkkNAAwfPhwAsGbNGqOeFxERkaXz83aBeoiius6zMTmxcXJyQmBg4BPrHTlyxKh2IyIiUFBQgKCgIDg7O+uUq+fEGNJuWloaAMDT01Nvube3NwDgn3/+0RtzmzZtdM5p0aIF7O3tcfXqVaSmpj4xBiIiourC0d4GdWo5Aai+d0aZnNg899xzuHjx4hPrrVixwqh2o6KiAJR9m7h64rC63uN4eHgAKJnkrI/6+K1btzTHlEolbt68WWYMNjY2mlEoQ2IgIiKqTvzrlOwTdaeaJjYmzwqaOXMmZs6ciby8PPTo0QM2Nvqb+r//+z+Eh4cb3K462XBzc9Nb7urqqlXvcZ599lnY2toiJiYGsbGxWpejlEql5nKWXC6HQqGAvb09cnJyoFAoDIpBPSJkKLFYBLG44u6mkkjEWl/JOrBfrQ/71DpZa782rueKU1dTkJpZgMJiFZwcqtcEYpOjHTJkCIqKivD2229DJBLBw8MD9vb25Q5IJpMBAGxtbfWW29nZadV7nDp16mDGjBlYvHgxwsPDMX/+fDRt2hSpqalYvnw58vJ0V1aUy+Wa/z8phtJ1DeHh4Vwpt4m7ujpWeJtkfuxX68M+tU7W1q+tpN7AwRsAgIz8QtTz0f9HvqUyObFJTEzU/F8QhDJHUIz9Re7oWPIGKSoq0lteWFioVe9Jxo8fj0aNGuHnn3/GW2+9BZlMBh8fH/Tp0wdjx47FsGHDYGtrq0nKSk8WflIMj04sfpLMzPwKH7FxdXVETo4MSqV1zMgn9qs1Yp9aJ2vtV3dnG4hEgCAAl2/cQ/0Hc27Mzd1dd96tPiYnNiKRyKDbuA1db0ZNPdE3Oztbb3lOTsksbS8vL4Pb7NatG7p166Zz/Ny5cwCAhg0bao65urrC3t4eCoUC2dnZeicemxIDAKhUAlSqilvEUE2pVFnNrYb0EPvV+rBPrZO19atEJEI9T2ckpOXjdmJOtXtuJl8YfPT26bI888wzRrXbtGlTAEBCQoLe8vj4eAAw6I6sJ1FPGg4ODtYck0gkCAgIKDOG4uJiJCcnAzA+aSMiIqoO1BOIY1Oq3y3fJic2f/75p0H1NmzYYFS7oaGhcHJyQnR0NAoKCnTKL1y4AADo0aOHQe1FRkZq7nJ61IkTJwAAL730ktbx7t27az1WaVevXoVCoUDz5s01t4sTERFZE3+fksXw0u7LkSfTPy3DUlXIVO779+/j+PHj2Lt3L44fP4779++b3JajoyNGjRqFwsJC7NixQ6ssPj4ep06dQkBAgNalpejoaAwfPhxffvmlTnurV6/GkiVLdI5HRUXh8OHD6NWrF9q1a6dVNmLECDg7O2P37t2aO6TUfvnlFwDAxIkTTX6ORERElkw9YgMAcdXstu9yJTZ5eXn44IMP0KVLF0yaNAnvv/8+Jk2ahC5dumD27NnIzTXtxQgPD0dISAi++OILHDhwAHK5HFFRUZg6dSocHBywbNkyre0Utm7disjISHz//ffIysrSae/48eOasry8PBw4cACvv/46WrZsqXfPp1q1amHRokVITU3FjBkzkJSUhLy8PKxduxY7duxAWFiY0dspEBERVRf1aztD8uBml+p2OcrkvaLkcjlGjhyJa9euQSKRoE6dOnByckJBQQFSUlKgVCrRtGlTbNmyxei7hwDd3b1dXFzQqVMnvP322zq7e588eRLTp0/HM888gxUrVmjdiXXgwAHs2rULUVFRSE9Ph52dHZo0aYIBAwZg2LBhZa6/A5Ts7r1y5UpERkaisLBQs7v3sGHDTLptm3tFkSHYr9aHfWqdrL1f5/94BndT89BG6oXwwS3NHY7Be0WZnNisWrUKP/zwA2bNmoUBAwZobX+Qn5+PXbt2YdmyZXj99dfx1ltvmfIQVoeJDRmC/Wp92KfWydr79ef9UTh2MQkervZYNrmzucOp/E0w9+3bh4ULF2L48OE6ezo5Oztj5MiRWLBgAfbt22fqQxAREZGZ+NcpSSQycxTIzi80czSGMzmxiY+PR8+ePR9b5/nnn8fdu3dNfQgiIiIyE+0JxNVnno3JiY1EInnitgYFBQWPncNCRERElqmelzNsHuyDFZtcfe6MMjmxCQoKwqZNmx5bZ8OGDRWykB4RERFVLRuJGPVr1wAAxFajW75NHk4ZOnQoZs2ahbt372LgwIFo0qSJ5q6omJgY7Ny5E/v27cPixYsrMl4iIiKqIv4+LriTnIM71ehSlMmJzUsvvYSIiAjs2LEDe/bs0SkXBAEvvfSSzqq+REREVD2oJxBn5xUiK1cBdxd7M0f0ZOWaALNo0SK0bdsW69evx40bNzTHpVIpxowZg1deeaXcARIREZF5NCw1gTg2JQfuLsZt/mwO5Z7Z+8orr+CVV16BTCZDTk4OXF1d4ejoWBGxERERkRn5eDrBzkaMwmIVYpNzERJg+YmNUZOHr169irNnz+Ls2bOaXbbVHB0d4e3tDaVSiV27dsHEdf+IiIjIQkjEYvh5l1yOqi4TiA1ObPLy8jB8+HCMGTMGY8aMwe+//663nlwux6xZszB48GBkZmZWWKBERERU9dTzbO4k51SLQQuDE5u///4bRUVFaNq0KdatW4fp06frrVezZk1MmzYNSUlJmDhxIgoLq89qhURERKStoU/JPJs8WREycuRmjubJDE5sIiIiIJVKsWnTJnTs2LHMTSBtbGwwefJkbN68GampqWWO7BAREZHl8/d5uEdTdVioz+DE5urVq3jzzTcNnhjcuHFjvPHGG9i/f7/JwREREZF5eXs4wd5OAqB6zLMxOLFJSEhA69atjWq8Z8+eWreBExERUfUiFongr5lAbPkL9Rmc2MhkMtSuXduoxmvXro28vDyjgyIiIiLLob4cFZuca/ETiA1ObGrWrImcHOMytby8PDg7OxsdFBEREVkO9U7fBYpipN1//AbY5mZwYhMQEIBTp04Z1fiJEye4CSYREVE1pzWB2MLn2Ric2HTv3h3ffvutwaM22dnZWLFiBV544QWTgyMiIiLzq13TEY72JZsVWPqdUQYnNsOGDYNcLseIESMQERHx2LqnTp3CiBEjoFQqMXTo0HIHSUREROYjEok0C/VZ+gRig/eKsre3x7fffotx48Zh/Pjx8PHxQevWreHj4wMHBwfIZDKkpKTg0qVLSE5OhqOjI37++WfY2dlVZvxERERUBfx9XHA9LguxKblQCQLEZaxnZ25GbYIZHByMjRs34t1338Xdu3eRlJSktVCfeqZ0w4YN8dVXXyEoKKhioyUiIiKzUO/0LS9UIjWzAD61LPPmIKN3927RogX+/PNP7N+/H3///Tdu376NvLw8uLi4oGHDhnjuuefQp08fSCSSyoiXiIiIzEB9KQoomWdjNYkNAEgkErz44ot48cUXKzoeIiIiskC13BxQw9EWebIi3EnJQccWdcwdkl4GTx4mIiKip5dIJHq4UJ8F3/LNxIaIiIgMol6o725qLpQqlZmj0Y+JDRERERmk4YN5NoVFKiRnFJg5Gv2Y2BAREZFB/H1cNf+31IX6mNgQERGRQWrWsIObc8n6dJa6UB8TGyIiIjKI9grEHLEhIiKiak59Oepuah6KlZY3gZiJDRERERlMPWJTrFQhKT3fzNHoYmJDREREBiu9AvGdZMubZ8PEhoiIiAzmVsMe7i72ACxzng0TGyIiIjJKwwfzbCzxlm8mNkRERGQU9eWohLQ8FBUrzRyNNiY2REREZBT1nlFKlYCENMuaQMzEhoiIiIyi3jMKAGItbAIxExsiIiIySg1HW3i6OQAA7ljYBGImNkRERGQ0fwudQMzEhoiIiIym3uk7KT0fiiLLmUDMxIaIiIiMpr4zSiUIiL+XZ+ZoHmJiQ0REREZrUGoFYkuaQMzEhoiIiIzm5GALb3dHAMAdC5pnw8SGiIiITKKZQJzCERsiIiKq5tTzbFIyCiBTFJs5mhJMbIiIiMgk6j2jBAB3Uy3jchQTGyIiIjKJn3cNiB7831J2+mZiQ0RERCZxsLOBj6czACY2REREZAXU82ws5ZZvJjZERERkMnVik5olQ4G8yMzRMLEhIiKiclDf8g0AcRZwOYqJDREREZmsfu0aEItKphBbwjwbG3MHUBaFQoHVq1djz549SEpKgpubGzp27Ihp06ahfv36RrUVFRWFdevW4dKlS0hJSYGLiwv8/PwwdOhQDBgwABKJRKv+6dOnMWbMmDLbq1evHo4cOWLS8yIiIrIm9rYS1PV0RkJaHu4wsdFPLpdj3LhxiI6OxmeffYbnnnsOcXFxmDVrFsLCwrBx40YEBQUZ1NahQ4cwbdo01K5dG5988gnatGmDnJwc/PDDD5g1axYOHDiAVatW6ZxnY2NTZgLl7e1drudHRERkTfx9XJCQlmcRE4gtMrFZvnw5IiMjMW/ePPTt2xcAEBQUhOXLl6NPnz547733sGvXLp2RFn2++OILKJVKzJo1C127dgUAODs7Y968eTh79iyOHDmCEydOoEuXLlrneXt7Y//+/RX/5IiIiKxMwzouOHE5GenZcuQWFMLFyc5ssVjcHBuZTIbNmzfD1tYWgwYN0irz8/NDx44dERMTg2PHjhnUXlJSEgAgICBA67hIJELjxo0BANeuXSt/4ERERE8pS5pAbHGJTUREBAoKChAUFARnZ2ed8rZt2wKAwXNcmjdvDgCIiYnROi4IAm7dugUAqF27dnlCJiIieqr5etWARFwygdjc82wsLrGJiooCAPj6+uotV897Udd7kgULFsDPzw9LlizBiRMnUFBQgOTkZCxYsAAxMTGoW7cuevXqpXOeXC7H0qVL0bt3b7Rq1Qrt2rXDiBEjsHXrVqhUKhOfHRERkfWxtRHDt3YNAOZfqM/i5tikp6cDANzc3PSWu7q6atV7kiZNmuC3337Dl19+iTfeeANKpRIAUKNGDQwcOBDvv/++3pGhjIwM5OXlYdWqVfD19UVqaipWr16NefPm4fDhw/i///s/2NraGvXcxGIRxGLRkysaSCIRa30l68B+tT7sU+vEftXWqK4r4lJyEZeSCxsb870mFpfYyGQyACgzabCzs9Oq9yQXL17EO++8A4lEgu+//x4hISHIzMzEnj17cOvWLeTl5elcipJKpdiwYQPat2+vOVa/fn0sWLAAsbGxOHbsGNauXYs333zTqOfm4eEMkajiEhs1V1fHCm+TzI/9an3Yp9aJ/VqieWMvHL2QiMxcBSCRwN3VwSxxWFxi4+hY8gYpKtK/LHNhYaFWvcfJy8tDeHg4MjIysHPnTgQGBgIoGa2ZMmUKwsPDNbePt2zZUnOeu7u7VlJT2qhRo3D69Gls27bN6MQmMzO/wkdsXF0dkZMjg1LJy2PWgv1qfdin1on9qs3bzV7z/4tRqQgO8KzQ9t3dda+u6GNxiY2nZ8kLkZ2drbc8J6fk2p2Xl9cT2zp+/DjS0tIQGBioSWpKGzBgAP766y98/vnnWL9+vUHxNWjQAABw9+5dFBYWakaQDKFSCVCpBIPrG0qpVKG4mB8qa8N+tT7sU+vEfi3h7e4IG4kYxUoVbiVmo0VDD7PEYXEXBps2bQoASEhI0FseHx8PAHoTlUep2ygrCVJfgrp69arB8ZWeOFwZl5WIiIiqIxuJGH7e5p9AbHGJTWhoKJycnBAdHY2CggKd8gsXLgAAevTo8cS23N3dAQD37t3TW64+bmOjPXD18ssvY8uWLXrPiY2NBVCypo6xk4eJiIismXqn79iUXAhCxV+hMITFJTaOjo4YNWoUCgsLsWPHDq2y+Ph4nDp1CgEBAejWrZvmeHR0NIYPH44vv/xSq37Xrl1ha2uLmzdv4saNGzqPtXfvXgBA586dtY5nZWXh0KFDeuPbtGkTACAsLMz4J0dERGTF/OuU3LmcnV+IrFyFWWKwuMQGAMLDwxESEoIvvvgCBw4cgFwuR1RUFKZOnQoHBwcsW7ZMazuFrVu3IjIyEt9//z2ysrI0x+vUqYOZM2dCEASEh4fj33//RV5eHuLj47F48WIcPHgQ3t7emDFjhk4MJ06cwLx583D79m0UFhYiPj4eH374Ic6dO4cuXbpg4sSJVfJaEBERVReBfjU1C/WZa7qGSDDXWNETPLq7t4uLCzp16oS3335bZ3PKkydPYvr06XjmmWewYsUKnRfzzJkz2LBhAyIjI5GVlQVbW1vUr18f3bp1w4QJEzSXrNSSk5Px559/4siRI4iJiUFubi6cnZ0RGBiIgQMH4pVXXoFYbHxOmJZWsasx2tiI4e7ujKysfE5csyLsV+vDPrVO7Ff9biVmQyUICPCtWaHtenm5GFTPYhMba8TEhgzBfrU+7FPrxH6tWoYmNhZ5KYqIiIjIFExsiIiIyGowsSEiIiKrwcSGiIiIrAYTGyIiIrIaTGyIiIjIajCxISIiIqvBxIaIiIisBhfoIyIiIqvBERsiIiKyGkxsiIiIyGowsSEiIiKrwcSGiIiIrAYTGyIiIrIaTGyIiIjIajCxISIiIqvBxIaIiIisBhMbIiIisho25g6AjKdQKLB69Wrs2bMHSUlJcHNzQ8eOHTFt2jTUr1/f3OGRCWbPno0dO3aUWR4eHo6pU6dWYURkDIVCgZUrV2Lt2rXo378/Fi9e/Nj6x44dw9q1a3H16lUIgoDAwECMHTsWffr0qaKIyRCG9uvp06cxZsyYMtupV68ejhw5Ullh0iOY2FQzcrkc48aNQ3R0ND777DM899xziIuLw6xZsxAWFoaNGzciKCjI3GGSCWrWrAl3d3e9ZWUdJ/OLiIjAxx9/jKysLBQVFT2x/k8//YRFixZh2LBh+PLLLyGRSPDdd9/h7bffZgJrQYztVxsbmzL/sPT29q7o8OgxmNhUM8uXL0dkZCTmzZuHvn37AgCCgoKwfPly9OnTB++99x527doFiURi5kjJWK+++ip/qVUze/fuxfz58/HOO+/AwcEBc+bMeWz9GzduYOnSpWjZsiX+97//QSQSAQA++OADXLt2DStWrEDXrl0RHBxcBdFTWYztV6Akedm/f38VREdPwjk21YhMJsPmzZtha2uLQYMGaZX5+fmhY8eOiImJwbFjx8wTINFTxtfXF3/88QdGjRqlSVIe58cff4RSqcTQoUN16g8fPhwAsHbt2kqJlQxnbL+SZWFiU41ERESgoKAAQUFBcHZ21ilv27YtAPBaLlEVCQ4ONuoyw9GjRwEAbdq00SlTf36PHTuG4uLiigmQTGJsv5Jl4aWoaiQqKgpAyV8T+qiv76rrUfVy/fp1vPnmm7hy5Qru378Pd3d3tGvXDq+99hpatmxp7vConFJTU5GVlQVA/2fY29sbtra2UCgUiI2NRZMmTao6RCoHuVyOpUuX4vDhw0hOToadnR0CAgIwaNAgDBkyBGIxxxGqCl/paiQ9PR0A4Obmprfc1dVVqx5VL+fPn0fPnj2xZ88enD9/Hp9//jliYmIwfPjwx94xRdVDWloaAMDe3h4ODg465SKRSPMZVtel6iMjIwN5eXlYtWoVzp07hx07diAgIADz5s3Dm2++adAEZKoYTGyqEZlMBgCwtbXVW25nZ6dVj6qPcePG4bfffsOQIUPg7u4Oe3t7dOjQAStXrgQAfPTRR4iPjzdzlFQecrkcQNmfX+DhZ1hdl6oHqVSKDRs2YMGCBWjUqBHs7OxQv359LFiwAKGhoZrb+6lqMLGpRhwdHQGgzMy/sLBQqx5VH0FBQfDz89M57ufnh65du6KoqAh79uwxQ2RUUdSjNI/7y139GdY3okOWy93dHe3bt9dbNmrUKADAtm3bqjKkpxoTm2rE09MTAJCdna23PCcnBwDg5eVVZTFR5VMnPLdu3TJzJFQe6s+lQqHQOyIjCILmM1y7du0qjY0qT4MGDQAAd+/e1SSuVLmY2FQjTZs2BQAkJCToLVdfqggMDKyymKjyqVQqAOBtp9Wct7e3ZqFFfZ/h1NRUFBUVwcHBQfPLkKo/9ecX4Ge4qjCxqUZCQ0Ph5OSE6OhoFBQU6JRfuHABANCjR4+qDo3K4cKFC+jcuXOZI3FxcXEAgEaNGlVlWFQJunfvDgCIjIzUKVN/fp999lnY2PCG1erk5ZdfxpYtW/SWxcbGAigZeX3c/CqqOExsqhFHR0eMGjUKhYWFOnfJxMfH49SpUwgICEC3bt3MFCGZoqioCOnp6Thx4oRO2Z07d/Dvv//C1tYWAwYMMEN0VJFee+01SCQS/PbbbxAEQats69atAIAJEyaYIzQqh6ysLBw6dEhv2aZNmwAAYWFhVRnSU42JTTUTHh6OkJAQfPHFFzhw4ADkcjmioqIwdepUODg4YNmyZdxOoZpRD08vWLAA27dvR3p6OhQKBSIiIjBlyhQAwMcff8wNTq1AQEAAZs6ciUuXLmH+/PnIyMjA/fv3sWTJEkRERCA8PJzbKVRTJ06cwLx583D79m0UFhYiPj4eH374Ic6dO4cuXbpg4sSJ5g7xqSESHv2zgSzeo7t7u7i4oFOnTnj77bf5y68aEgQB58+fx759+3D69GkkJCRAqVTC09MTbdu2xbhx47hAnwV73Jy2RYsWYfDgwTrHjx07hjVr1mjt7j1u3Dju7m1BjOnX5ORk/Pnnnzhy5AhiYmKQm5sLZ2dnBAYGYuDAgXjllVe4QF8VYmJDREREVoMpJBEREVkNJjZERERkNZjYEBERkdVgYkNERERWg4kNERERWQ0mNkRERGQ1mNgQERGR1WBiQ0RERFaDiQ0RERFZDW4hS2QlevTogcTERL1lNjY28PDwQLt27TBhwgS0aNECAHDx4kUMGzZMUy88PBxTp06ttBgPHTqE69evIywsDL6+vpX2OE+bn376CYsWLdJ8v379eoSGhpoxIiLz4YgNkZU4cuQIoqOjNd8fPnwY0dHRiI6OxpEjRzBp0iQcOXIEQ4cOxYEDBwAAwcHBiI6O1vqlWJkOHTqEFStWlJmAkWnGjRuH6Oho7iBNBCY2RE8Fb29vvPrqq3jrrbegVCoxb948FBUVmTssIqIKx8SG6CnSuXNnAMD9+/dx48YNM0dDRFTxmNgQkZaTJ09i2LBhaN26NUJDQzFr1izk5OTorZuVlYWlS5eid+/eaNmyJdq3b4/XXnsNx44d06q3fft2BAYGYseOHQCAMWPGIDAwEIGBgRg9erRWXZlMhpUrV2LAgAFo1aoV2rRpg5EjR2LXrl1a9dLS0jRtBAYGYvbs2bh69SrGjRuHkJAQtGnTBpMnT0ZycrLBz71ly5ZaccXHx2Py5Mlo164dgoODMW7cOJ2EcPLkyZpzevTooVXWo0cPrfieFPvo0aMRHByMrl274vPPP9eMqq1btw49evRAy5YtMXjwYJw9e/aJz2XTpk3o378/WrZsiU6dOuGjjz5CZmam3rrR0dF455130LlzZ7Ro0QLdunXDhx9+iKSkJK168+bN04o7Li4Oq1atwgsvvIDmzZvrPE8isxCIyKpIpVJBKpUK8fHxOmWrVq0SpFKpEBoaKhQWFmqOb9u2TZBKpcLYsWOFqVOnCrGxscL9+/eFNWvWCFKpVJgyZYpOWwkJCUL37t2Fzp07C3///bcgl8uFpKQkYe7cuYJUKhWWL1+uc86sWbMEqVQqRERE6I09OztbeOmll4SQkBBhz549Qn5+vpCeni589dVXglQqFWbPnq1zTkREhCCVSoXhw4cLr732mhAVFSXk5uYKO3bsEJo1ayaEhYUZ8/IJ8fHxglQqFfr37y+MHj1aiIyMFPLy8oSjR48KISEhQteuXQWZTKZznlQqFbp3715mfLNmzXps7G+++aZw+/Zt4f79+8KyZcsEqVQqLFy4UPjhhx+Ebdu2CTk5OcKlS5eEbt26CcHBwcK9e/d02lO/vmPHjhUWLVokpKWlCfn5+cK2bduE5s2bCy+88IKQnZ2tdc7Ro0eFli1bCmFhYcL169cFhUIhXLhwQejdu7fQoUMH4ebNmzqP8+qrrwpSqVSYOHGisHLlSuHevXtCUlKS0K9fP73Pk6gqccSG6Clw7949bNy4EatWrYJEIsH//vc/2Nra6tS7fv06Pv/8czRo0ABubm6YMGECGjdujMOHD+uM2sycOROJiYlYsmQJunXrBnt7e/j4+OCTTz5BcHAwli9fjlOnThkV58KFC3H9+nXMnj0b/fv3h5OTE2rVqoXp06ejX79+2L59O7Zt26b33MuXL2PRokUIDAxEjRo1MGjQIHTq1AlXr15FVFSUUXEAwI0bN/Dee+8hODgYzs7OeO655zBw4ECkpqbi33//Nbq9x/nvv//w6aefomHDhnBzc8O0adPg5uaG3377DTk5ORg8eDBcXFzQqlUrjBo1CgUFBdi/f3+Z7cnlcsyePRuenp5wcnLC4MGD8eabbyI2NhZfffWVpl5WVhbee+89FBcX4+uvv0ZQUBDs7OwQEhKCxYsXIzMzEx9++GGZj+Ph4YG33noLXl5e8PHxwaRJk9CqVasKfW2IjMXEhshK9ezZU3PJ4LnnnsN3332H7t27Y+vWrejdu7fec7p27Qp7e3utY40bN4ZKpUJcXJzm2LVr13Du3Dl4eXlp5u2oiUQiDBw4EEDJbceGyszMxN69eyGRSPDiiy/qlA8aNAgA8PPPP+s9v1WrVqhdu7ZO7AAQGxtrcBxq3t7eOr+ky9Pe47Ru3RoeHh6a721tbeHr6wuZTIZOnTpp1W3UqBEA4M6dO2W2N2DAAJ1j6td0586dmktcO3fuRG5uLjp27Ag/Pz+t+sHBwfDz88OFCxdw8+ZNvY/zaD8NHDgQI0eOLDMuoqrAdWyIrNThw4eNXivG29tb55iTkxOAkrkvapGRkQAe/pJ9VEBAAICSdXIM9d9//0GpVMLX1xfOzs465U2aNAFQMpJSUFCgicvY2A1V0e09jpeXl84x9WvwaLJWo0aNJ8ZQt25dnWMNGjSAjY0NCgoKEBsbi4CAAE3/NGvWTG87Pj4+uHv3Li5fvqx5/Z/0OETmxsSGiDQcHBx0jolEIgCAIAiaY+rLUo8mF2rq42VNOtYnOzvboDYFQUBubq5OPUNjN1RFt2fsY6k9OoKm9rgY9L2GYrEYdnZ2KC4u1vSL+usPP/yAH374ocz20tPTjY6byFyY2BCR0VxdXQEABQUFesvVx9X1DOHm5mZQmyKRCC4uLga3a25yubzKH1Pfa6hSqaBQKAA87Bf112nTpmHKlClVFyBRJeIcGyIyWnBwMADg1q1bekcOYmJitOqpqUc89GnZsiUkEgmSk5ORl5enU66e5yGVSssc1TEnBwcHvQlFSkpKlcfy6G3aQMm8IKVSCScnJzRs2BDAw/5JSEjQ205eXh6OHz9e5m3iRJaIiQ0RGa158+Zo27Yt0tPT8c8//2iVCYKA3bt3AyhZr6Y09aiMehRDLpejf//+OHXqFDw8PPDiiy9CqVRiz549Oo+pXgPn0XVvLEXDhg2RlZWlkwQcPHiwymPZu3evzrF9+/YBAMLCwmBjUzJYP2jQILi4uOCvv/7Se9lwzZo1eOedd2BnZ1e5ARNVICY2RGSSJUuWoG7dupgzZw6OHTuGwsJCpKSk4KOPPsLFixcxefJkdOzYUeuc1q1bAwBOnToFuVyObdu24c6dO6hfvz4A4MMPP0RgYCCWLl2KPXv2QCaTITMzE9988w3+/PNPDBo0CEOGDKny52oI9V1bn376KVJTU5Geno7ly5dDLK76H7M5OTlYunQpMjIyIJPJsH37dnz33Xfw9/fH9OnTNfXc3d2xbNkyFBYWYvz48Th//jzy8/ORmpqKVatWYc2aNZg3b55mwjJRdSASKnoWHBGZRVm7ez9ux+6EhAT07NlT5/jhw4eRmJioM+JSr149HDlyRPN9ZmYmVq9ejUOHDiE5ORmOjo5o0aIFxowZg+7du+u0KwgCvvjiC+zZswdZWVmoV68eJk+erHV7ckFBAdatW4f9+/cjLi4ONjY2CAwMxPDhwzXJg1pgYKDOY6xfvx716tXT+7xKbxKqj77XcNGiRRg8eLDexyp955lKpcLKlSvx+++/Iz09HfXq1cPYsWPRuHFjrddx/vz5GDFiRJmxJyYm4oMPPtA63r59e2zYsKHM+HJycrQ2Ml23bh0iIyOxe/duJCUlwcXFBT179sS7776rdVu5WkxMDL777jucPn0a9+/fR61atdC8eXO89tpraNeunabe8uXLsWLFCr1xczdxshRMbIiIiMhq8FIUERERWQ0mNkRERGQ1mNgQERGR1WBiQ0RERFaDiQ0RERFZDSY2REREZDWY2BAREZHVYGJDREREVoOJDREREVkNJjZERERkNZjYEBERkdVgYkNERERW4/8BebPgtjvCPD4AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 600x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gm.plot_confidence_1d(expected_prob = None)\n",
    "save_results(\n",
    "   gm = gm, \n",
    "   name_method = name_method, \n",
    "   path = PATH_RESULTS\n",
    ")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "libre",
   "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": "3.12.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
