notebooks/demo.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A tour of the CPA model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# some standard packages to assist this tutorial\n",
    "import cpa\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import scanpy as sc\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training your model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Init your model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "adata = sc.read('../../cpa-reproducibility/datasets/GSM_new.h5ad')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING. Special characters ('_') were found in: 'dummy_cov'. They will be replaced with '-'. Be careful, it may lead to errors downstream.\n",
      "Creating 'cov_drug_dose_name' field.\n",
      "Ranking genes for DE genes.\n",
      "WARNING: Default of the method has been changed to 't-test' from 't-test_overestim_var'\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Trying to set attribute `.obs` of view, copying.\n",
      "... storing 'cov_drug_dose_name' as categorical\n",
      "Trying to set attribute `.obs` of view, copying.\n",
      "... storing 'dummy_cov' as categorical\n",
      "Trying to set attribute `.obs` of view, copying.\n",
      "... storing 'covars_comb' as categorical\n"
     ]
    }
   ],
   "source": [
    "cpa_api = cpa.api.API(\n",
    "    adata, \n",
    "    perturbation_key='condition',\n",
    "    doser_type='logsigm',\n",
    "    split_key='split',\n",
    "    covariate_keys=[],\n",
    "    only_parameters=False,\n",
    "    hparams={}, \n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also load a pretrained model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loaded pretrained model from:\t../../cpa-reproducibility/notebooks/sciplex2_other.pt\n"
     ]
    }
   ],
   "source": [
    "cpa_api = cpa.api.API(\n",
    "    adata, \n",
    "    pretrained='../../cpa-reproducibility/notebooks/sciplex2_other.pt'\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can print parameters of the model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "CPA(\n",
       "  (encoder): MLP(\n",
       "    (network): Sequential(\n",
       "      (0): Linear(in_features=4999, out_features=128, bias=True)\n",
       "      (1): BatchNorm1d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
       "      (2): ReLU()\n",
       "      (3): Linear(in_features=128, out_features=128, bias=True)\n",
       "      (4): BatchNorm1d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
       "      (5): ReLU()\n",
       "      (6): Linear(in_features=128, out_features=128, bias=True)\n",
       "    )\n",
       "  )\n",
       "  (decoder): MLP(\n",
       "    (network): Sequential(\n",
       "      (0): Linear(in_features=128, out_features=128, bias=True)\n",
       "      (1): BatchNorm1d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
       "      (2): ReLU()\n",
       "      (3): Linear(in_features=128, out_features=128, bias=True)\n",
       "      (4): BatchNorm1d(128, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
       "      (5): ReLU()\n",
       "      (6): Linear(in_features=128, out_features=9998, bias=True)\n",
       "    )\n",
       "  )\n",
       "  (adversary_drugs): MLP(\n",
       "    (network): Sequential(\n",
       "      (0): Linear(in_features=128, out_features=64, bias=True)\n",
       "      (1): BatchNorm1d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
       "      (2): ReLU()\n",
       "      (3): Linear(in_features=64, out_features=64, bias=True)\n",
       "      (4): BatchNorm1d(64, eps=1e-05, momentum=0.1, affine=True, track_running_stats=True)\n",
       "      (5): ReLU()\n",
       "      (6): Linear(in_features=64, out_features=5, bias=True)\n",
       "    )\n",
       "  )\n",
       "  (loss_adversary_drugs): BCEWithLogitsLoss()\n",
       "  (dosers): GeneralizedSigmoid()\n",
       "  (covariates_embeddings): Sequential(\n",
       "    (0): Embedding(1, 128)\n",
       "  )\n",
       "  (drug_embeddings): Embedding(5, 128)\n",
       "  (loss_autoencoder): GaussianNLLLoss()\n",
       ")"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cpa_api.model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Start training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Results will be saved to the folder: /tmp/\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Rec: -1.6080, AdvPert: 0.49, AdvCov: 0.00: 100%|▉| 999/1000 [12:45<00:00,  1.30i"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model saved to: /tmp/None\n",
      "{'ellapsed_minutes': 12.652799173196156,\n",
      " 'epoch': 999,\n",
      " 'evaluation_stats': {'cell_type disentanglement': 0.0,\n",
      "                      'ood': [0.9116713597573521,\n",
      "                              0.8682491544314631,\n",
      "                              0.6297205495339959,\n",
      "                              -0.2600031534834341],\n",
      "                      'optimal for cell_type': 1.0,\n",
      "                      'optimal for perturbations': 0.2,\n",
      "                      'perturbation disentanglement': 0.2595809996128082,\n",
      "                      'test': [0.9242513761083746,\n",
      "                               0.7737687104344115,\n",
      "                               0.8351889804394074,\n",
      "                               0.0565223552642065],\n",
      "                      'training': [0.9295517385365168,\n",
      "                                   0.7780530537975899,\n",
      "                                   0.8627033078033616,\n",
      "                                   0.12276226755805468]},\n",
      " 'training_stats': defaultdict(<class 'float'>,\n",
      "                               {'loss_adv_covariates': 0.0,\n",
      "                                'loss_adv_drugs': 0.49258487340476775,\n",
      "                                'loss_reconstruction': -1.6079967220624287,\n",
      "                                'penalty_adv_covariates': 0.0,\n",
      "                                'penalty_adv_drugs': 2.152925470492543e-07})}\n",
      "Stop epoch: 999\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model saved to: /tmp/None\n"
     ]
    }
   ],
   "source": [
    "cpa_api.train(\n",
    "    max_epochs=1000, \n",
    "    run_eval=True, \n",
    "    checkpoint_freq=20,\n",
    "    filename=None, \n",
    "    max_minutes=2*60\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualize training history"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computation time: 19 min\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x216 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from cpa.plotting import CPAHistory\n",
    "pretty_history = CPAHistory(cpa_api)\n",
    "pretty_history.print_time()\n",
    "pretty_history.plot_losses()\n",
    "pretty_history.plot_r2_metrics(epoch_min=0)\n",
    "pretty_history.plot_disentanglement_metrics(epoch_min=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 5 × 128\n",
       "    obs: 'condition'"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "perts_anndata = cpa_api.get_drug_embeddings()\n",
    "perts_anndata"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Print and plot covars embeddings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AnnData object with n_obs × n_vars = 1 × 128\n",
       "    obs: 'cell_type'"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "covars_anndata = cpa_api.get_covars_embeddings('cell_type')\n",
    "covars_anndata"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 0.0, 'A549_Nutlin_0.05', 'A549_Nutlin_1.0')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cpa_api.compute_comb_emb(thrh=0)\n",
    "cpa_api.compute_uncertainty(\n",
    "                    cov={'cell_type': 'A549'}, \n",
    "                    pert='Nutlin', \n",
    "                    dose='1.0'\n",
    "                )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setting up a variable for automatic plotting. The plots also could be used separately."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "cpa_plots = cpa.plotting.CPAVisuals(cpa_api, fileprefix=None)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cpa_plots.plot_latent_embeddings(cpa_api.emb_perts, kind='perturbations', show_text=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cpa_plots.plot_latent_embeddings(cpa_api.emb_perts + covars_anndata.X, kind='perturbations', show_text=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If your have a lot of cell types or a lot of perturbations, you can also chose to not display their names."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cpa_plots.plot_latent_embeddings(cpa_api.emb_perts, kind='perturbations', show_text=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or I can change the color scheme for the emebddings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "perts_palette = {'BMS': '#999999',                 \n",
    "                 'SAHA': '#4daf4a',\n",
    "                 'Dex': '#377eb8',\n",
    "                 'Nutlin': '#e41a1c',\n",
    "                 'Vehicle': '#000000'\n",
    "    \n",
    "                }\n",
    "\n",
    "cpa_plots.perts_palette = perts_palette\n",
    "cpa_plots.plot_latent_embeddings(cpa_api.emb_perts, kind='perturbations', show_text=True)\n",
    "cpa_plots.plot_latent_embeddings(cpa_api.emb_perts + covars_anndata.X, kind='perturbations', show_text=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Embedding contains only 1 vectors. Not enough to plot.\n"
     ]
    }
   ],
   "source": [
    "cpa_plots.plot_latent_embeddings(list(cpa_api.emb_covars['cell_type'].values()), kind='cell_type')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "latent_response = cpa_api.latent_dose_response(perturbations=None)\n",
    "cpa_plots.plot_contvar_response(\n",
    "    latent_response, \n",
    "    postfix='latent',\n",
    "    var_name=cpa_api.perturbation_key,\n",
    "    title_name='Latent dose response')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "perturbations_pair = ['Nutlin', 'BMS']\n",
    "latent_dose_2D = cpa_api.latent_dose_response2D(perturbations_pair, n_points=100)\n",
    "cpa_plots.plot_contvar_response2D(latent_dose_2D, \n",
    "        title_name='Latent dose-response')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 6.1 s, sys: 338 ms, total: 6.44 s\n",
      "Wall time: 1.65 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "reconstructed_response2D = cpa_api.get_response2D(\n",
    "    perturbations=perturbations_pair,\n",
    "    covar={'cell_type': ['A549']}\n",
    ")\n",
    "\n",
    "\n",
    "cpa_plots.plot_contvar_response2D(\n",
    "    reconstructed_response2D,\n",
    "    title_name='Reconstructed dose-response  2D',\n",
    "    logdose=False,\n",
    "    # xlims=(-3, 0), ylims=(-3, 0)\n",
    "    )\n",
    "\n",
    "cpa_plots.plot_contvar_response2D(\n",
    "    reconstructed_response2D,\n",
    "    title_name='Reconstructed log10-dose-response 2D',\n",
    "    logdose=True,\n",
    "    xlims=(-3, 0), ylims=(-3, 0)\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you want to plot in on a log scale, you can just log values in the data frame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# %%time\n",
    "df_reference = cpa_api.get_response_reference()        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'cell_type': ['A549']}\n"
     ]
    }
   ],
   "source": [
    "# %%time\n",
    "reconstructed_response = cpa_api.get_response(n_points=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can plot an average response (saved under \"response\" column) among all genes, however, we don't consider it to be a good metric and strongly advise to look at the individual response among DE genes.\n",
    "\n",
    "Solid lines in this plot correspond to the model predictions, dashed lines -- linear interpolations between measured points. Dots represent measured points, their color is proportional to the number of cells in this condition. Black dots represent points used in training and red dots correspond to the out-of-distribution examples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_reference = df_reference.replace('training_treated', 'train')\n",
    "cpa_plots.plot_contvar_response(\n",
    "    reconstructed_response, \n",
    "    df_ref=df_reference, \n",
    "    postfix='reconstructed',\n",
    "    title_name='Reconstructed dose response')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For example we can take of the top 50 DE genes for Nutlin - MDM2. MDM2 is itself transcriptionally-regulated by p53. And p53 is the target of Nutlin. Therefore, we expect our model to learn it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BVK8X1eUClwvV7QaXG9V92rDLDR63b5rbg+o5/d0DHg+q1xM47vGA1+t/95UpeVfA6/l7WPGCx4uqeH1lvQqmwgKyTaZT00+V8Sq+dagKeH2JVT01vSTRqooXlFNJ0+tFVZW/xxXFt67SiVlR/i5zesKu4SxAVlUHUcNpZjwCV/eplG2JBC4INZjqcqEWF6PY7Ki2YlSb7dTLjmq3o9hs4HCg2H3jqsOB6nDAqXfV6fz7veTlcPoStNPpW7/TCU6nLyF7vRX/oTQa0GqRtFrQaJBOjaORkeRTw7J8aroGZF8Z2e1GcXtOLSf7puv0SBoZ5FPjpw9Lkm97knxqnfKpcQkk+e8y8qnlJAmpZLj0uCSVWpd05nT/ML71BkwLfJU9D39MgK9M6ZcscWoGUGo9UqnpAes5rfyp4ZTUVOrUqVNqPn8Pc9qy/D0sBayPsy9/xjpOi4HA8mesl8CiZ66njOHzzTttpVJZ889YXxmrOFXuUFHRWWaWP5HABaEKqKqKWliIUlCAUliIJikJ+9FklMIC1MIilKIilMJCVKsVpciKai3yvRdbUa3FKMVW1GIbuN3/bMOyjGQyIRmNf78MBjAYkIxG5NBQpBiDb5regGTQIxkMSDod6P8elvR637hOBzqdr5z21LBe5xsuededSsY6nS/p6vV/J2et9u9kXTKtzB/Y89u7dy91K+nU5eXKs3cvRlGHl2bv3krblEjgglAOFLsdJSsLJTsHb3Y2Sm4OSnYOSm4uSm4u3tw8lDzfS83PRyko8J12PcUM5J62TsliQbJYkIODT71bkOJikc1m3zyzGTkoCMlsRgoKQjIHIZmCkEwm3/Qgky9Zl7yMRl/iFQThsiASuCCcg+py4U1Px5uWhvfkSbwZGXjTM1AyMnzDmVkoWVmoVmuZy0smE3J4uO8VEYG2di3ksDDk8HCk0FDf9NAQTuQX0KB1a6TQEH/CljSaSv60giDUJCKBC1c01eXCm5KK51gynmPH8aam4j1xAk9KKt6UFJSsM2/pkUwm5NhYNHGx6Fu1RI6JQRMdjRwdhSYqGjkqEjkyEjkqCtlkuqA4vHv3ohOnLgVB+AdEAhcue6qi4D15Es/Bg3iOHMVz+LDv/ehRvCdPBpzKRq9HU6sW2jp10F3TH02tWmhqxaOJj/cNx8X5jo4v8jqtIAhCeREJXLiseLOycO/Zg3vPXtz79uM5eADPwUOoNpu/jBQcjLZhA/SdOqKtXx9N3bpo69VFW68eckyM7+5hQRCEak4kcKFGUlUVb2oq7qSduHbswL1zJ+7de1Cys/1l5NgYdE0TCRo/Dl3TpmgbN0LbqBFyVJQ4ghYEocYTCVyoERSbDfeOHbj++BPXtm24/vwLJSfHN1OrRde0Kcb+/dC1aIGueXO0zZujiQiv2qAFQRAqkEjgQrWkFBXh2rIV56ZNOH/fhHvnTvB4ANA2aoSxX190bduiv+oqdC2aIxmNVRyxIAhC5aqwBO50OpkwYQIulwuv18ugQYOYOnVqQBlVVZk5cyZr1qzBaDTy0ksv0bJly4oKSajGVI8H11/bca5bh3PNWlx//eVr9UunQ9+mDZY778DQqRO69u3FkbUgCAIVmMD1ej1z5szBbDbjdru56aab6N27N23btvWXWbt2LcnJySxbtowdO3bw9NNP8/3331dUSEI1o+Tn41i9Gsey5ThWrUYtLARJQte2DcH33oOhe3d0Hdpf8KNYgiAIV5IKS+CSJGE2mwHweDx4PJ4zbhxasWIFI0aMQJIk2rZtS2FhIZmZmcTExFRUWEIV82ZlYV/8C/bFv+DavBm8XuSoKEyDr8Vw9dUYe/VEDhdH2IIgCOdTodfAvV4vo0aN4vjx49x00020adMmYH5GRgZxcXH+8bi4ODIyMs6ZwF0uF3vLsa1Zh8NRruu7Ep2vDqWCQrRr16JbswZN0k4kRcFbty6eG8bi6dYNb7NEX+cNAOnpvtcVRnwPL52ow0sn6vDSVUQdNj9LI08VmsA1Gg0LFy6ksLCQe+65hwMHDtC0aVP/fLWM7vfO93iPXq8/64e5GHv37i3X9V2JyqpD1ePBsWo1tu9/wLF8ObhcaBs1wnTfvZiGD0PXrFkVRVs9ie/hpRN1eOlEHV66yqzDSrkLPSQkhC5durBu3bqABB4XF0d6qaOt9PR0cfq8hvOkplL8xZfYvvkWJSsLOSIC86RJBN0wFl3LFuL5a0EQhHJSYQk8NzcXrVZLSEgIDoeDjRs3cttttwWU6devH19++SVDhgxhx44dBAcHiwReE6kqjrVrKf5sDo7lvwFg7N+PoHE3YuzXT/SAJQiCUAEqLIFnZmby6KOP4vV6UVWVa6+9lr59+zJ37lwAxo8fT58+fVizZg0DBgzAZDLxwgsvVFQ4QgVQ3W7sC3/C/MZ/yUlORo6IwHL3XZgnT0Jbu3ZVhycIgnBZq7AE3qxZMxYsWHDG9PHjx/uHJUniqaeeqqgQhAqi2O3Y5n6D9b338aamQv16hL0xi6Dhw0SDKoIgCJVEtMQmXDDV6aT4q68p+t9slKws9J07ETrzeZJrxVNXNMAjCIJQqUQCF85L9Xiwff8DRW/8F29qKvquXQh5/10MXbr4CojHTgRBECqdSODCOTnWrKHgqWfwHDyIrl1bwl57BUOvXuJuckEQhComErhQJs/RoxQ88yyO5b+hqV+PiI8+wHjttSJxC4IgVBMigQsBVLudwv++ifX9D5D0ekIem4Hl1luQDIaqDk0QBEEoRSRwwc/5++/kTX8E79GjBI0dQ8hjM9CI5/IFQRCqJZHABZTCQgpmvojtyy/R1K1L5DdzMfbqWdVhCYIgCOcgEvgVzrl5M3n3TsWbno7ljtsJnv6Q6L5TEAShBhAJ/Aqler0U/W82RbPeQFO3DtE/LUDfrl1VhyUIgiBcIJHAqzGbzcbBgwfRarU0bdoUnU5XLuv1nkwj9777cG3ajGnUKMJenIlssZTLugVBEITKIVd1AELZ1q5dy+DBg2nbti2tWrXihhtu4I8//rjk9To3bCRz4CDcSTsJ/+8bRMx+UyRvQRCEGkgcgVdDO3fuZOjQoRQVFfmnLViwgB07drBmzRrq1Knzj9epqirFcz6n4Mmn0DZsSMTHH6Fr1LA8wxYEQRAqkTgCr4aWL1/uT95xskwLre/UedCJFP764gtcO3ei2u0oViueo0fxpKSg5OUBoFitKMXFqE4nqqoCoLpc5D/yKAWPP4GxX1+if14okrcgCEINJ47Aq6GUlBQAWul0fBcZzTqngzvycpkdHkHTt98l6+13iVn5G+79B8i7624AjEOGEPnBe2QNux7PgQMAxKz8DdeOHeRPewhUFW1iIhGffEz2jePxHj8OWi1RX3yOJ+UEhS+8BFotxt69CHl4OnkPP4I3LR1JpyX0uedQMjKwfjYHSadF364d5okTKHrnXZS8PAz5+XgfeRglPx/HsuVIWi3aRo0w9u+HfckSVGsx6LQY+/VDtdlw79oNOi2a2Fh0zZrh3rsX1ePxLdegAarXi5KXh6TVIgUFIYeEoNrtIMug0yHJYr+zMnlOpuFO2oGkN6Br1xZNeHhVhyQIAiKBV0v169fHAHwaEUmhovC+1QrAwwV5PPfII/Tp0QNN7dpIZjPhb/4X1etBU8vX/7blrjtRcnLA7QavQtF//weShKFfX0xDhiDJMoaOHfDUqgUeN5LJiKTXI8fEgNcDej0AamEhSnYWqtsDXg/enBxcW7agut2g0WIG7At/wn3wIHq3G+WO23Hv3k3hTF+f7qbhwzD270fhCy/hOXIEgJg1q3Dv2kXePff5y0S8+w65d9yF5/BhX5nVK3Hv2UPe3ff6ygwbSsR775J57XV4Dh3yl/HsP0DeA9NAp8M05DrCX32F7BvH40lJQdLpiJzzKZ5jxyh85TUknRZDr16ETHuA/Edn4M3MBK2OsGeewpueTvGXX4FWh75dG8zjxlH0/geo+fmg02H+1xSU3FycK1eBToe2UUOMvXtjX7YM1WZD0uowXN0HtbgY9759SFodcmwMusaNcR84AF6vb7m6dVG9XtSCAt9OiNGIbDafqk9NZXytLorzzz/JvfV2lIwMAHQdOxL+31noGjSo4sgEQRAJvBoa2K49M6OiuD8vjxSvh2NeLwC2xo256s47MdWqBYBssaAdkxCwrPmGsQC4Dx8hZ/xNKPn5RH0zF0OP7v4yIY88HLCMJj4eQ9euAdMi3ns3YFxbty6mAdcETItZugSAvXv3ktC4MdoGDTAOGAAej+9oGYj67hvf6XyPB22dOmgiI4le9BOqx4McFgZA2EsvohQVgtuDJj4eSa8n7PVXweNFU9d3vd9y+20oOTm+5SKj0NR3Yp44AdXjQdfK15WprnUr5KhIVLcHyWBA0miRQ4J9OyGn2nD3ZmXhOX4CPB5UjwdvZiaO1Wt8Masq5nHjsH37LZ6Dh0BRCBoxAnfSTgqeeRYA04jrMfbuTcEzz+FNTvbVw9o1uJN2kHfvVH+ZiLffIufft+I9evScZTL69sd79CjBsox79So8e/aQ98ijSFotpqFDCHthJtnjb8Kblg5aLZGffoznyBGK/vsmaHUYe/UkeOp95D/+BN6sbN8Zkyf/D2/qSYq//c53xqRtW4LGjMb64UcoRUVIWi3mSRPx5uTiXLfOd+ajYUMMPbrj+G0FqsMBOi36Ll0oev0Nf/IGcG/bhmPRYnT33XvG91YQhMolEng140lJIWzag6wZMZLHc3PYMH8+Go2GKVOmcP/991PrVPI+F9eOHeRMnAySRNS879G3bl0JkYOk0SAFBQVM08THB5YxGNCfdgrW0L1bwLhssaCtVy9gmnnCTYHrjQhH36pVwLTQJx4PLBMXF7DjAhD58UcB49o6dTANGhQwLXblCgBURQFJwlQnAWP/fv7T/ABR33yN6nSC2402oTZyWChRC+aD24Mc4ft8YS88j1pYhOpxo4mNQWrTlrCXXvTtzDSoD4Dl1n+j5OaRnZaGHB6Opm4dgkaPArcb3am/m7ZJU+SQUFSPG0mv9+2MaHXgcaN6PAB4jp/Ae+IEqtuN6nbjPXkSx6+/onrcqE6nL4F/Nse/02EaPgz39u0UPPF/vvFRIzH06E7+k0/iPXbc9xkXLsC5YQOnc2zZQvAZUwVBqGySWnKnUw0xatQo5s+fX27r27t3L82bNy+39V0Kb24eWcOGoeTlE/Xdt0iJTUlOTkaj0dCgQYML6gnMuXUbORMmIkdEEPX1V2gbVvypzupUhzVVZdWhqii+sw1aLbjdKFar73KL3oAmIhxPcjKq3e7byahXj5xbb8O1YWPAOqTQUEIff4ygG2/w79BUB+J7eOlEHV66yqzD6vOv7wqnKgpyWCjGAQMIGjYM/anTwk2aNLngdbh27CBn0mTkmBiif/gOTVxcRYUr1FCSLPvvc8BgQHNaL3Pa+vUDxkOmTSNn127ftXtA06ABUpCJ/IcfwblxIxFvv1UZYQuCUAaRwKsBpaCA7ImTCb73bsKefuqi1uHevYfsmyYgh4UR9e03InkL5cLQtQvRvyzCvX0HGPQYOnRAjo7GsXQpclQ03sxM8u6dSvAD/8HQrdv5VygIQrkRCbyKKVYr2RMn496503d98yK4Dxwge/xNyKYgor77Bm3t818nF4QLpatfH91pR+ama68FfJdsPEeOkD3mBsy33XrRO6CCIPxz4oHaKqYWFqEWFRHx3jsY+/b9x8t7jh0j+8bxoNEQ9d23aOvWrYAoBaFshk4diV23hpAnHsfYrx/e3Dzypj+M58SJqg5NEC57IoFXEdXpJP/Jp0GnJWb5Uv8RzT+h5OeTM/lfqC4nUd/OrZQb1gThdJLJRPBdd2Ls3Qv3n39imz+fjN5XU/Te+1UdmiBc1kQCrwKqx0PuvfdR/PHHODduRLqIXsZUl4uc2+7Ac+wYkR99iK5p0wqIVBD+GeM1/Ylbt46gMaPR1q+HUlhI0ey3UIqLqzo0QbjsiAReBVx//IFj6TJCn32GoOuv/8fLq6pK/qMzcG3cSPirr4ibh4RqRVMrnvBXX8F07bU4lv9G4Usvk9G9J7YFC6o6NEG4rFRYAk9LS2PSpEkMHjyYIUOGMGfOnDPKbN68mQ4dOnD99ddz/fXX89Zbl/cjKaqqYv9lCfrOnYlZuQLLLf++qPVYZ7+F7dvvCL7/PwSNHVPOUQpC+QkaPYronxaibdwIVBXFZsP208++59EFQbgkFXYXukaj4dFHH6Vly5ZYrVZGjx5Njx49aNy4cUC5jh078v77l/+1MlVVKXjqGYo//piIzz49o1nSC2X/9VcKX34F08gRBD/0YDlHKQjlT9+hPVE/fA/g69L28Sewvt2K0KefFGePBOESVNgReExMDC1b+hojsVgsNGzYkIxSbSpfaew/LqD4448x33ILxmv6X9Q6PMnJ5D3wILo2VxH++msX1DKbIFQHkiQhSRLmyZMI/9+bKPn5eJKPoTocuJKSqjo8QaiRKqUp1ZSUFCZOnMiiRYuwWCz+6Zs3b2bq1KnExsYSExPDI488ct6Wx4YOHcqrr75abrE5HA6MRmO5ra8sUk4OamgoumXLcQ++1t+xxj/icmGeej9yejrW995BrUYNtVRGHV7urrg6dLlAo0G/8CeM77yLu08fnDf/CyWh9kWv8oqrwwog6vDSVUQdnrVpVrWCWa1WdeTIkerSpUvPmFdUVKRarVZVVVV19erV6oABA867vpEjR5ZrfHv27CnX9Z2u6KOP1dTGTVXX7kvbTt4jj6optRJU29Jl5RRZ+anoOrwSXKl16C0sVAteeVVNbdxULfr0U1VxuVRPRsZFretKrcPyJOrw0lVmHVboXehut5upU6cybNgwBg4ceMZ8i8WC2WwGoE+fPng8HnJzcysypEpl+/4HCp58CkOf3mibXnib5mesZ8ECir/4Estdd2IaOKAcIxSEqiUHBxMy/SFiN6zDfNNNFH/1NRnde1L4yqsoRUVVHZ4gVGsVdhObqqo8/vjjNGzYkJtvvrnMMllZWURFRSFJEklJSSiKQvhpXU3WFAUFBaxevZrdu3cTFRVFv759qdeuLUE33kDYiy9cdK9N7kOHyZ/+CPpOnc7ox1sQLheamBgAjH1649q8maI3/4ccFob5ln+Dx9e/uyAIgSosgf/xxx8sXLiQpk2bcv2pZ52nTZvGyZMnARg/fjxLly5l7ty5aDQajEYjs2bNqpE3ZhUWFvLggw/y8ccfAzDIaCQ+IpKiuV/TbtbrF71e1eMh7/4HQK8n4t23L6rBF0GoSbQNGhDx7ju47r4LXePG2L7/nqJZ/yX4oQcJGj0KSaOp6hAFodqosATesWNH9u/ff84yEydOZOLEiRUVQqVZt26dP3n3MRh4JzySXS4XX3z1Fe16977o9Vo/+BD3X38R/vZsNPHx5RWuIFR7+tatAV/3pnJkBPkPTEMtLsb8rykANXJHXxDKm2iJrRzs3bvXP1xPo2W/282knGy+XbSIoou8juc+eJDC117HeN1gTBfRWpsgXA4MXbsSvXgREe+9S9ANY7EvXEj26DE4t/1R1aEJQpUTCbwcxMbG+oc/txVzfXYmhapKmzZtMJlM/3h9qsdD3gPTkIOCCHthpjjaEK5okixjGjYU2WwGScJz5CjZ14/A9v0PVR2aIFQpkcDLwdVXX01iYiIjTSa2xcYTo9EgSRJ33XUX2ou4ec136nw7oTOfQxMdXQERC0LNFHT99cRuWEfIjEcxDhyAfelS8h6ajvdkWlWHJgiVTiTwclCnTh3mzZvHlD5XE63R0G3IEH7++WeGDBnyj9cVcOp8+PAKiFYQajbZbCb43nuQQ0PxJB/DNm8+6b16od20qapDE4RKVWE3sV1pWrZsSXy9ergKC/luwYKLOu2tqir5Mx5HMpnEqXNBuADBd9yO6brBFM1+i6LmzXGsW497504sN/8L6SIuXwlCTSKOwMtR+Fuzif5x/kUnXsfiX3D9/juhjzwsTp0LwgXS1qlD+Csvo4aG4ly5ksKZL5DeszfOLVuqOjRBqFAigZcT1eulaPZbeDOzLmp5xW6n4Nnn0LVoQdCEm8o5OkG4MoQ+9SRR875H16gR2nr1cP3xJ/YlS1ArvssHQah0IoGXE29qKkWvvY77IntWsr7zLt7UVEKfe0Y0ViEIl8DQtStR332DJjYW62efkXvr7WQNH4F7376qDk0QypVI4OXEc+gwANrGjf75sidOUPTOO5iGD8PQtWt5hyYIV6zwN2YR9uorKLk5SMHBuPftw71n7/kXFIQaQCTwcqKpFY/lrjvRnac71LIUPPs8EhIhTzxRAZEJwpVL0mox3zSe2HVr0dauTeHLr5A5cBC59/1HPHom1HgigZcTTZ06hDz+GPI/7IzFuWEjjl9+wXLfvWhr16qg6AThyibJvp+68DdmYbn7LhzLlqE6HXhOnMB7GfWAKFxZRAIvJzlT/kXO+An/aBlVVSmYORNNQgLBd9xeQZEJglBCDgsj9LEZxP2xFW2DBuQ/9gQZ3XpQ+MZ/UYqLqzo8QfhHRAIvJ55Dh9H8wyNox/LfcO9IIvj+/4hnVgWhEskWCwChTz6BoVdPima9gTclBW9uLqrbXcXRCcKFEQm8HCg2G6rDgbZx4wteRlVVil6fhaZeXYLGjK7A6ARBOBtdkyZEfvQhsevXoktMJH/6w2Rc3Q/bwp9QFaWqwxOEcxIJvBzIQUHE792N5dZbLngZx5Jfce/aRcgDD4h+vgWhimnr1QPAPH48kslI3t334DlwANXhqOLIBOHsRAIvB871Gyh8fiaq03lB5VVFofD119E2bIhp5IiKDU4QhAtmvKY/MUt/9TUG06wZedMeJHvcTbgusn0HQahIIoGXA8e6dVg/+hjJYLig8vZFi/Hs20/wtPuRLqK3MkEQKo6k0WDo2hVVVdF36IB71y6yBg/BffiIaNFNqFZE9igHniNH0Navf0GnwlWvl6JZb6Bt0kT0NiYI1ZgkSVhu+TdBY8fgWP4bukYNyXv4USSthuD7/4MmJqaqQxSucCKBlwPzhJtQCgouqKz955/xHDxI+LvviCZTBaEGkENCCBo9ClVVkQx6ij//Att33xOzZhXa2rWrOjzhCiYS+CVSvV40depi6Fn3/GVVlaLZb6FNbIpp6D/vK1wQhKojSRJhzz2L5d83Y1/8i69lt1deRQ4Pxzx50gVfQhOE8iKugV8i7/HjZPbug+2HH85b1rl2LZ59+7HccYe/ZShBEGoWbYMGBN97D6qi4Nq5k4KnnyGj99V4MzOrOjThCiOyyCVy+zsxOX8b6NYPPkSOiSFoxPUVHZYgCBVMkmWivvicyLlfY+zfDzk6GuvHn+BYsVLc7CZUCnEK/RKpdjtyXCy6Rg3PWc69bx/O1WsIeXi6ONUmCJcRY+9eGHv3QvV4KP7qKzz7D6Dv2oXIjz78x30jCMI/IY7AL1HQ8GHE/7HtvP9QrR9+hGQ0EjRpUiVFJghCZZK0WmJ+XULozOeRQ0KQwsKwLVyI++DBqg5NuEyJBH6J8p98iqL3PzhnGW9WFrb5PxI0dgyaCLFHLgiXK0mvx/KvKUR++gm4XBQ8/SyZ/a4h76HporMUodxVWAJPS0tj0qRJDB48mCFDhjBnzpwzyqiqyvPPP8+AAQMYNmwYu3fvrqhwKox9wUI8hw6ds0zxnM/B5cJ8222VFJUgCFVNMhiI+W0Z5ptvxr1vH5LJhHP9BpT8/KoOTbhMVNg1cI1Gw6OPPkrLli2xWq2MHj2aHj160LhUhx9r164lOTmZZcuWsWPHDp5++mm+//77igqp3Cl5eSg5OWgbNTprGdVup3jO5xgHDjjvdXJBEC4vmshIwp59GtXrRXU6ybn9DgCC770Hy623IOn1VRugUKNV2BF4TEwMLVu2BMBisdCwYUMyMjICyqxYsYIRI0YgSRJt27alsLCQzBr0KIZkNBL5+RxM1w46axnb/B9RcnOxiKNvQbhiSRoNsslE9A/fo+/QAdu334Es496/H9XjqerwhBqqUu5CT0lJYe/evbRp0yZgekZGBnFxcf7xuLg4MjIyiDlHE4Uul4u9e/eWW2wOh+Oi1yedTEMqtvqubZW1DlXF/M670LgxR8JCyy5zGbiUOhR8RB1euhpRhxLw2KNgtZK7fTuWiZNRw8Nx/vtfeHr0AEmq0vBqRB1WcxVRh82bNy9zeoUn8OLiYqZOncpjjz2GxWIJmFfWs5LSeb7Aer3+rB/mYuzdu/ei11cw/0esH31MrUMHymwW1fXnX2QlJxP28kvUbdHiUkOtti6lDgUfUYeXrqbVoaqqON54ncKXXkH/yWfETpmCUlSEJjKyymKqaXVYHVVmHVZoAne73UydOpVhw4YxcODAM+bHxcWRnp7uH09PTz/n0Xd14zl0yNeJyVnaNC/+5hskkwnT9aLTEkEQAkmShGnwYIwDBuBNSUF1u8nsPwDdVVcROuMRdCKRCudRYdfAVVXl8ccfp2HDhtx8881llunXrx8LFixAVVW2b99OcHBwjUrgmtq1MfTqWeY8pbgY+4KFmIYNRQ4OruTIBEGoKSSt1n8gYLntVlzbtpEz5WZUjwfV5arq8IRqrMKOwP/44w8WLlxI06ZNuf56X9Oh06ZN4+TJkwCMHz+ePn36sGbNGgYMGIDJZOKFF16oqHAqRNjzz511nn3RItTiYoLGj6vEiARBqKkko5Hge+7GfNN4PMnJ4HaTcc0AjNdcQ/B/pqKJiKjqEIVqpsISeMeOHdm/f/85y0iSxFNPPVVRIVQoz5Gj5N57L6FPP4Whc+cz5tvmfou2USP0nTpVQXSCINRUcng4+vBwlPx8DN26UfzJpzhWrCR27WqQpPPeJyRcOc57Cv3w4cP8/vvvFJ/WitDatWsrLKiawH3wAO4dSUg6XRnzDuLaupWg8ePEPzZBEC6KHBZG+GuvErNiOWHPPgMeD9kjR2Od8zmq213V4QnVwDkT+Oeff87dd9/NF198wbBhw/jtt9/88954440KD6468xw+AlBmIy62b74FrZagMaMrOyxBEC4zuqZNMfbri5KTA7JEwWOPkzVytOjxTDj3KfTvv/+e+fPnYzabSUlJYerUqaSmpjJlypQr/stjHj8OfaeOyCEhAdNVlwvbD/MwDrgGTXR0FUUnCMLlRhMfT9S8H3CuWIlSWAheL7n/uZ+gceMwnuVmWuHyds4E7vV6MZvNACQkJPDFF18wdepUTp48ecUncOfmzWjr1D1juuO3FSjZ2ZjHiZvXBEEoX5IkYbymPwCe5GRcW7dhX7AQ43XXEfnh+1UcnVDZznkKPSoqKqBFGbPZzPvvv09eXh4HDhyo8OCqK1VVyXvwIayff3HGvOK53yDHxWK4uk8VRCYIwpVCW78+sevW+G6k7doFVVEomPkCnqNHqzo0oZKcM4G/8sorREVFBUzTarW88sorfPnllxUaWHWm5Oai5hegaxx4/dubm4dzzRqCRo9G0lZKK7WCIFzBJIMBy223Yrnl33j276f408/IuLofBc/PrOrQhEpwzgRuNBrR6XTk5+ef8Wp0jh64LntOF6ZRI9G1bRsw2fHrr+D1Yho+rGriEgThiqVr3pzYDesw3zQeyWRCVVWscz5HKSqq6tCECnLOw8SuXbsSFxeH5lRToaWve0uSxIoVKyo2umpKUyueiNn/O2O6/eef0dSvh+5UL2yCIAiVSRMbS9iLvgaxXH/+RcFjj1P02usEP/QglimTqzg6obydM4FPnDiRLVu20L59e4YOHUqHDh3Ec81AwYsv4Vy1muilS/z14c3JwblhI5a77hR1JAhCldO3b0f0L4sonPki3uRkVFXFuWo1hqv7IMkV1oq2UInOmcCfeOIJVFVl8+bNLFy4kOeee44ePXowfvx46tSpU1kxVjuefftRFW9AonYsOXX6fJg4fS4IQvWgb9OGyG/ngseD6/dN5EyajLZ5c0Ifn4Gxb9+qDk+4ROfdDZMkia5duzJ9+nTGjRvH/Pnz+f333ysjtmrLffgw2oaB9wDYFy1G06ABupaXb7ehgiDUPJIkIel06Lt2Ifydt1DtNhzLfY1yuQ8erOLohEtxziNwm83GihUr+OWXX8jLy2PAgAH8+OOPxMfHV1Z81VLM0iWopZqW9ebk4Ny4Ecvdd4nT54IgVEuSLBN0/fWYBg9GdTpxbvyd7LE3YLxuMCGPPIyuceOqDlH4h86ZwLt37069evUYMmQI9erVQ5Ikdu7cyc6dOwHK7OP7cuc9mYbt558JKnWnueOXJeD1EiROnwuCUM1Jej2SXo+uzVUEP/Qg1nffwxocTPis16GwsKrDE/6Bcybwa6+9FkmSOHr0KEfLaBzgSkzgru3bKXz2OQzduqI5dSbC/vMitA0bom3RvIqjEwRBuDCy2UzIA/djnjwJFAXntj8IHj+BgltvIfjuu5DDwqo6ROE8zpnAX3rppcqKo8bwHD4M/N2JiTc7G+fvvxN87z3i9LkgCDWOJjISANXpxN2rJ9Z33kXJySH89ddQPR7RKFU1dt6/zJEjR/juu+84csTX+1ajRo244YYbaNCgQYUHV5nS09P59ddfOXz4MI0bN+baa68lNjb2jHK61q2w3HUn8qk24h1LfgVFwTR0aGWHLAiCUG60CQk4Hn2EhIcfRgoJxrVrF7k330Lwgw8QNGaMSOTV0Dn/In/99Rf33XcfN9xwAzfccAMAe/bsYdKkSbz11lu0Pa0lspqqqKiIu+66iwULFvinjR49mk8//ZTg4OCAsoauXTFefbV/3P7zIrSNGonT54IgXBZKnqRx5ecjx8aS/+B03Lt2E/b8c1UcmXC6cz5G9vbbb/P6668zdepUrrnmGq655hqmTp3KrFmzeOuttyorxgq3adMmFixYgCzL9OzZE1mWmTdvHlu2bAkop6oqae07UvDCiwAo+fk4N23CeN1gcfpcEITLir51a6J/XkjEhx9gnjIZ94EDZI0ajXPz5qoOTTjlnAn8xIkTdOnS5YzpnTt35sSJExUWVGXLy8sDoH379kyaNMl/c17J9BJKVhZqQQGauDgAHGvXgdeLsX//yg1YEAShEkiShOm6weiaNMGbno7n2DGyR42h8I3/VnVoAudJ4CV9gZclKCio3IOpKm3atMFkMuFyuQDYt28fQUFBZ1wi8KamglaL9lQvZM5Vq5DCQtG3b1fZIQuCIFQqY+/exK5fR8hjMzAOGIAnOZm8B6bhSUmp6tCuWOe8Bp6Wlsbzzz9/xnRVVcnIyKiwoCpbYmIi8+bN4/HHH2fTpk0MHTqUoUOH0vi0hg307dpR67Cv5SJVVXGsXoOxd2+kU529CIIgXM5kk4nge+4GwLZgAbaFP2FbsJCwZ5/BPGliFUd35TlnAn/44YfPOq9Vq1blHkxVGjx4MB06dGDLli2cPHmS7t27n1HGNm8+3sxMgu+6E9eu3SiZmRhK3dAmCIJwpQgaMQJ9p84UzZqFtnlzPKknsf/wA+bbbkW+jM7QVmfnTOAjR46srDiqhfz8fE6ePAlAamoqzZo1C5hvW7AAJcOXwJ2rVgFg7Ht1JUcpCIJQPWhr1yL89dcAsH7yKYWvvIr1szmEvTgT07XXVnF0l79zJvA777zznAu/99575RpMVVMUBYAWLVqU+Qy459Bh9O3aAuBYtQpdq1ZoYmIqM0RBEIRqyfLvm9G1bk3hCy8gh4TizczEuWkzpmFDxVM6FeScCXz79u3Ex8czZMgQ2rRpg6qqlRVXlZBlmaCgINq3b4/VakVV1YAvXvB/7kMTH49SUIBr2x9Y7r6rCqMVBEGoXgydOhI1fx6SJFH4xn8peu11rO+9R+izz2Lo2KGqw7vsnDOBb9iwgQ0bNrB48WIWLVpEnz59GDp0KE2aNDnvimfMmMHq1auJjIxk0aJFZ8zfvHkzd999NwkJCQAMGDCAe++99yI/Rvlo2rQpTZs2Zd++faxdu5axY8cSHh4OgFJcjLFfP+ToaByLf/E9Ptb36iqNVxAEobopOegJnnof2oQECl99DbWwEG9uHt7UFPStW1dxhJePcz5GptFo6N27Ny+//DLfffcd9erVY9KkSXzxxRfnXfGoUaP46KOPzlmmY8eOLFy4kIULF1Z58gY4fvw4a9euJe7Uc96pqan+ec5Vq0lv1wH37j04Vq1CCglB30HsUQqCIJRF0mgIGjuG2HVrMPS9Guv775N17XXk3n0PnuTkqg7vsnDexm1dLherV69m0aJFpKamBjR0ci6dOnUipYY9H5idnc2+ffvo2bOnP4mXcB86BICmQX0cq1dj6NVLtA0sCIJwHpLBAEDwPXcjyTLWDz/CNHQocmQkqsOBJjq6iiOsuc6ZgR555BEOHjxIr169uPfee2natGm5bnz79u0MHz6cmJgYHnnkkQs6Ne9yudi7d2+5xeBwOPzrK3m2ff/+/f5YSuYZ0tLQ1q/PoVWrsKRnkNcskcxyjKMmK12HwsURdXjpRB1eugqvw+HDkHr1pCAsDMOzz6Gf/yOusWNwjhkN52g4rCapiDps3rzsvjbOmcAXLlyIyWTi6NGjAafNS27u+vPPPy86oJYtW7Jy5UrMZjNr1qzhnnvuYdmyZeddTq/Xn/XDXIy9e/f61xcVFUWDBg1o1qwZ2dnZrFq1iquvvpro6Gh42de1atHb71AINJhwE5oy7lS/EpWuQ+HiiDq8dKIOL11l1qH7zjspKixC+uJL4rp28T12Jkn+I/aaqjLr8JwJfN++fRW2YYvF4h/u06cPzzzzDLm5uURERFTYNs8nODjY33xsUFAQeXl5pKamEhUVRd6dd2MaNcL3+FiLFiJ5C4IgXAJdo4ZEvP8url33omvRnKL/zcb2zbeEPPQgppEjRAuXF+CcN7FVpKysLP9jaUlJSSiK4r/ju6ps3bqVH374AfAl8PDwcE6ePImSno590SI8x47j2roNQ9+rqzROQRCEy4W+VUskWUbfoQNySAh5/7kf+6LFqF7vZf/o8qWqsLuwpk2bxpYtW8jLy6N3797cd999eDweAMaPH8/SpUuZO3cuGo0Go9HIrFmzqvxhf0VR0JTa6xswYABmsxnP5lPdirpc4PFg6NmjiiIUBEG4PBl79cTw6y84li7FOGAA1g8/wvHbb4Q+9pjoMOosKiyBz5o165zzJ06cyMSJ1avxe51OF9ADW1BQEPv27SM+Jobwd97C9edfoNWi79ixCqMUBEG4PEmyjGnwYADk8HA8Bw+RNWw4kXM+w3iN6Lb5dOI5qFLK6sBk06ZNdIyIoHXHjhR/8hm6q64SDfULgiBUMPONN2Aach3FX32NoXcvir/4EtfOnYQ8cD+a+PiqDq9aqLJr4NXRrl27Au6s1+v1REVFYXj3PXJvvxPXjh0YunWtwggFQRCuHLLFQvAdtyPp9Xizs7F99z0ZPXvj3LSpqkOrFkQCL+XEiRMcO3YsYFrr1q0JzslFCgsFtxtDV5HABUEQKlvIA/cTu3Y1QePHoW/bFtvChRS9+x6q3V7VoVUZkcBLOf0mNoBGDRpgaNIYBQlkGX0ncf1bEAShKmjr1iXs+eeQjEac69ZT+PxMMnr1wbVrV1WHViVEAi+ldevWtGnTJmCaAiy6dhDWnBx0rVshBwdXTXCCIAiCX/hrrxL1/XfoWrZE26ABjhUrsS9dekU9eiYSeClRUVFn9APuWrmK7l98hX7/fnH6XBAEoRoxdO9G5JxPkc1mrJ99Ru6/byV7xCg8R49WdWiVQiTwUpYsWcKaNWsCprl37sRy8CCyoqDt3LmKIhMEQRDOJfLTTwh7+SWUYityZCTOrdtwV2BrotWBSOCleL1eZDmwSjyHDvlOm0sSJnEHuiAIQrUkabWYJ04gZvky5JAQCp97nsxrBpJ3/wN4s7KqOrwKIRJ4KUajEZPJFDAt5LEZaOrVw1mvHtv276+iyARBEIQLUdKiZ+ScT7HceQeOVatBo8G9fz/e3LyqDa6ciQReyvDhw+nZs6d/XFUUXJu34Dmwn6ImjTly5EgVRicIgiBcKDk8nNAnHidu00bk8HDy/vMAGd17UPTm/1BstqoOr1yIBF7Kxo0bOXTokH/cm5ZG3tT/gNOFoVtXCgsLsVqtVRihIAiC8E9IJhOSJBH+5hsYunejaPZbqEVFeE+mobrdVR3eJRFNqZZy4MABABo3bgyA5/Bh/7yEoUMZZTAEtJUuCIIg1Ay6xEQiP/kYb1oackwMWcOGo+QXEPrIwxiHDqnyzrQuhjgCL+X0m9gkkwk5IgJN40ZYatfG4/GI0+iCIAg1WEk76sH/+Q+SXkfuf+5HSU9HKS6u4sj+OXEEXkrPnj0D+iTXt22L6nBg6tULgN27d5OWlkbDhg1r5N6aIAiC4LvRzTTgGoz9+uLetQs5Lo7sMWORDAZCHpuBvlWrqg7xgogj8FNUVaV27dqEhYX5p2XfNAHVZkN/6vnv2rVrY7PZyM/Pr5ogBUEQhHIjaTTo27QBRcE4cCCuHUlkDR2ONzsbVVGqOrzzEgn8FK/Xy9dff82ePXv809y7dgOg79Ae8CXwFi1anNFeuiAIglBzSRoNwXfcTtzvG4j44D00UVHk/vsW8p/4v2r9DLlI4Kcop/a2Sq6BK8XFqIWFSBYzmlq1AAgODqZHjx7odLoqi1MQBEGoGHJICKaBA1HdbjRxcRR//gUZva9GqaZnXUUCP0VRFMxmMwaDAQApKAg5IQF9ly4B17s3b97Mt99+60/4giAIwuVF0ukIe+lFYlatJPSxGchhYeQ9/AjWjz9BdTqrOjw/kcBPMRqNTJgwgcTERACc6zegpKSg79AhoFxUVBQul4vs7OyqCFMQBEGoJLpGDTFPmojqcOBNPkbBk0+R0bdftbljXSTwU2w2G6tXryYjIwOA4q/nAqBv1zagXK1atdDpdBQVFVV2iIIgCEIVkIxGIr+dS+RXXxA0ahSy2Uzha6/jWLWqSrsvFQn8FKfTyYEDB/yJ2bN3LwD6jh0DygUFBTFlyhQaNWpU6TEKgiAIVUOSJIxXX03IQw+iFBdj+/FHciZOJvuGcagOR5XEJBL4KSXXtP13mKsqcmwsclDQGWVPnjzJ4sWL8Xq9lRmiIAiCUA3IZjOxq1YS+vxzaBvURzIaKf78C46vWxdwIFjRREMup5jNZnr37k1UVBSK14snPR3zyBFllvV4PKSmppKRkUGtU3eoC4IgCFcOSa/HcvO/AFAKCsh/4UUoKuLH/Dz2/t8TPProoxUegzgCP0Wr1ZKQkEBQUBCu9evBauVsVzZq1aqFJEmcPHmyUmMUBEEQqh85NBTl27l86bCzzeXi4MGDlbJdcQR+SkZGBosXL2bYsGGYVq0CQN+pc5ll9Xo9gwYNIioqqjJDFARBEKqpOm3a0HHu17g2bmTMmDGVss0KOwKfMWMG3bp1Y+jQoWXOV1WV559/ngEDBjBs2DB2795dUaFckNINubh37ATA0LvnWcvHxMSQmpqKu4Z3RycIgiCUj4EDB3LjjTfSqpLaUq+wBD5q1Cg++uijs85fu3YtycnJLFu2jOeee46nn366okK5IJIkYTab0el0KEVF6Hv2QHOOI+ycnBxWrVpFWlpaJUYpCIIgCD4VlsA7depEaGjoWeevWLGCESNGIEkSbdu2pbCwkMzMzIoK57wSEhKYMGECYXo9nn37kENDz9njWGxsLBqNhtTU1EqMUhAEQRB8quwaeEZGBnFxcf7xuLg4MjIyiImJOedyLpeLvaee0S4PDoeDvXv3UlBQQEZGBk0KCglVVazp6WSeZztxcXH+5a9kog4unajDSyfq8NKJOrx0FVGHzZs3L3N6lSXwslqvuZA+tvV6/Vk/zMXYu3cvzZs3Z9++fSQlJdE9KxsXEN67N/XOs53mzZujKAqqql7RPZSV1KFw8UQdXjpRh5dO1OGlq8w6rLLHyOLi4khPT/ePp6enn/fouyKV3MSm7NmDHBGB8dpB510mPz+fOXPmcOzYsYoOTxAEQRACVFkC79evHwsWLEBVVbZv305wcHCVJvBatWrRu1cvvDt3ou/VC/0F3EUYEhICIK6DC4IgCJWuwk6hT5s2jS1btpCXl0fv3r2577778Hg8AIwfP54+ffqwZs0aBgwYgMlk4oUXXqioUC6IyWSiliRTlJOLY9Ei1DffQDpPv9+yLBMfH09+Ne0rVhAEQbh8VVgCnzVr1jnnS5LEU089VVGb/8d2795N6pw5tAek2NjzJu8S/fv3R6sV7eEIgiAIlUs0pQp4vV52795N6Mk0vKrKxpwcfvzxR/918fPZsGEDycnJFRukIAiCIJQiDh2BJUuW8OWXXzIzL5+dbjdj01KRRo9m0aJFXHfddedcVqvVcuTIEVwuF/Xr16+cgIUareQJDFVV/cOKouDxeALmlfV++nJnK3Mp08ua90/KnG3+Py1/ocuVKCgoID09/YLKl2cfzuWxrqrsU7q0vLw8UlJS/vFy1SX+6sDpdFbatq74BK7Vavn0009ZvmwZb8bVwiZLtNDq2ONxM2fOnPMmcEmSqFWrFqmpqaiqekGPwl2pShKPx+PB6/Xi9XpRFMU/XHq8rPcLfamqGvB++rRzDf/TV+nPdbZppcfPZcOGDRX7B7gCJCUlVXUINd6uXbuqOoQaLTExsdK2dcUncICdO3cyokMHgtMyCJZlLLIvCSclJaEoCrJ87isNV1111WXz7KSqqrjdbv/L5XIFjJd+eTwe3G43OTk5pKSk4PF4Al5er/eM94ogyzKSJKHRaJAkCVmW/dPONl76vWS50q+Sv/np76fPLxkvPXy2aSXjZS2XlZXlfwqj9LzTlynr/WzTzlf2XOXLmvdPylzI+i+k/IUuB3D8+HHq1q17weXLc2e7PNZVHXb+jx07Rr169S5q2eoQf3WQkZFRadu64hO41+vl+uuvJ3b7DkjzVfwJjy/RjBgx4rzJGyA6OpqcnBxycnKqTQ9lXq8Xu92Ow+HA4XDgdDpxOp0Bwy6X64x3t9t9wafDNBoNOp3On/S1Wi1arRaj0YhGo0Gr1aLRaM4YPttLluUz3s827fSkXNOJBjQuXVFREQkJCVUdRo2Wl5cX0EKm8M/l5uZW2rau+ASuqioTJkzgyKbNeDQaHs/JIkPxUrt2bcaNG3dB65AkieXLlxMZGcnAgQMrNFaHw4HNZqO4uBibzeZ/2e12/8tms52zlzStVovBYECv12MwGDCbzURERKDX6/0vnU53xnvJS6vVotPp/IlTJB9BEITKd8UncIC2bdsSYjBQGBVJ/DX9eK11a6699tp/lJRq1arF0aNHL+iUe1kURcFut2O1WrFarRQXF/vfSyfrsu6M1+v1BAUFYTKZiIyMpE6dOhiNRoxGIyaTCaPRiMFg8L9fyc2+CoIgXC5EAgdUjwdD8jGMwcE8nF9A9AMP/ON11KtXz3/N2Gg0llnG4/FQUFBAQUEBhYWFAa/i4uIzTl1rtVrMZjNms5n4+HiCgoIwm80EBQUFvMRz6IIgCFce8csPeA4dArsdlyxjrH1x19Dq169P/fr18Xq92Gw28vPzycvLIz8/n4KCAvLz87FarQHLGI1GQkNDiYuLw2Kx+F9msxmLxYJer78sru8KgiAI5U8kcMC1w/foiTssDF1i03+0bHFxMZmZmWRlZbF//36cTmfAaW6dTudP0qGhoYSGhhIWFkZISAh6vb5cP4cgCIJw5RAJHHAnJeE1Gkl+7hmaDDp3L2Qul4uTJ0+SmppKamqqvx10SZL8j0nt27eP0aNH065dO8xmsziKFgRBEMqdSOD4jsANTRrT/ptvcTdsiK5JkzPK2O12duzYwe7du/F6vWi1WuLj42nWrBlxcXEsX76cV199lTvvvJMff/yR/fv3s2jRIpG8BUEQrgD5+fls3LiRQ4cOUVBQQMeOHSv8/iSRwN1u3Hv24GjVEuOy5YQ8NiNgdkni3rNnD16vl8aNG5OYmEhsbGzA3dxpaWns3r2bBx54gJCQEPr06cOGDRto1qxZlXaTKgiCIFSszMxM7rrrLubPn++f9uabb3LfffdV6EHcFZ/A5eRj4HRSpKgYAU3t2oDvmev9+/fz+++/4/F4aNSoEe3btycsLKzM9XTo0AEAh8NBVFQURqORAwcOYLfbGTRoELt27SIiIoK4uLiLesxMEARBqJ6WL1/OwsULMdcyY8+0o3gUHnzwQfr160erVq0qbLtXfALX7N8PQFqXzrh69aR2UBAOh4N169Zx9OhR4uPj6dWr11kTd4m+ffvy66+/smXLFmJjYxk5ciRBQUE4nU48Hg9bt27F7XZjNBoZN24cHo9HPJMtCIJQzamqSpG7iBx7NvHmWuQ6cll9YiXZ9mziLbUY2/QGFrGQ677x3T+15oF1FCYX4fF4OHr0qEjgFUlz4ABSaCjNOnRAHxVFamoqq1evxm6307lzZ9q0aXPBp0D69+9P//79A6YZDAYAJk6cyIkTJ8jNzUWv17Nu3TqOHz9OvXr1aNu2LREREeX+2QRBEISz86pe8h15ZNuzqW2pjdVdzJKjv5DryCHCGMnNrf7NjPWPsCdnNwAv9nwZr+rl2/3fEG4Mp6PkO5vaRJPI3C++xp7jwJ7jAHxNTV9su/IXSiTwAwfRX3UV6ssvUxQSwtphQwkLC2PQoEHl2q65TqejYcOGNGzYEPD1WKPVaklOTqZNmzakp6eTlJREgwYNqFevHnq9HqfTSVJSElqtljZt2ohT74IgCBfI5XWR48ghx55NbUsCHsXDgkPzybZnE6wP5t52U3n296f5K/NPAP6v61OEG8P5+chCIo2RtIz0HTkPrDeIbvHdiTJFkRBcB4vOwrzhC9DKf6fPu6++h7++2s6iNYv801566SVat25doZ/xik7gqsOBfPQoR+vXI/r4CbLbtqVVq1Z07ty5wu8eTEhIICEhgV69eiFJEkePHiUzM5Pk5GRatGhB586deeONN3j++eex2Wy8//773HbbbRUakyAIQk1gc9vIsmeSY8+hTnAdtLKWr/Z+Sa4jB73GwKOdH2PWH6+x8aSvi94HO06nSVgTVhz/jUhTFI3DGgNwbf3BdIvvTqQpkqbhiQTrg5k3bEHAWdd+dfuXGUNpcXFxzJkzh3Xr1nHo0CE6d+5Mly5dKvwppCs6gdv37aNIr+HzPUkM08gs3b2Tvc8/z/DhwwkPDycsLMzf8ErJsNFoLNc/SslRdcOGDWnQoAEZGRkYjUZ27NhBREQEr732Gvv27eP++++nQYMG5OfnI8synTt3JiQkhDVr1iDLMiEhIfTq1YukpCSysrKQJIlWrVphNpv566+/kGUZs9lMmzZtOHz4MAUFBUiSRIMGDTAajRw+fBhZljEajf44bDYbkiQRExODTqcjKysLWZbR6XRERkZitVrxeDzY7XbcbjcajQan0+nvKaykpzLxKJ0gCBeqyFVEhi2dbHs2dYLrEqoP4cOdH5Jjz0ZFZWbPF/lo5wf8dnw5AHe1uYdutbqzOX0zkcZI6gTXAWBQ/cF0iu1EpCmKBqENCdGH8M3Q7wO21a1W93KLOyIiguuvv75SO3e6ohP4kuxsXpv0BvaUH/jk63nY7XbUgwdZsmTJWZfR6/X+FtVKt6oWGhrqfy95lZ5eethisZR5OlySJH9XfuHh4bzyyiu0aNECWZaJjIzEYrGgKAqKovjPEJR05elyuQBfl4rZ2dkoikLjxo3R6XQcPnwYRVEICwvzJ/Dk5GQAf/wbNmzwb7dBgwbs2LHDX2bAgAGEhISwaNEif5mxY8eycePGgPWEhoYyb968gDLLly8nOTkZWZa55pprCA0N5eeff0aWZcLDwxkyZAgbN24kNTUVWZbp2rUrwcHBZ+yY7Nixw78DUbJj8ueffyLLMhaLhTZt2vifv5Rl2b9jcujQIWRZxmQy0aBBA9LT07HZbMiy7N8xyczMRJZl9Ho9kZGRFBX5bkCRZZmgoCA0Gg0Oh8PfpWnJjknJ30wQhAuT78znpDWVbHs2CZYEaltq898/3yDHkYPdY2N2v3f4dv9cfjq8EIApLW9mWMPh7MpOItIURWxQLAAD6g2kXUx7Ik2RJATXIUQfwheDvwrYVruYdpX++SrbFZ3Avbl5qIqb4Ibd+djyKw85naR6vXz22Wd07NjR34Z5SXvmJeOnD6enp/unWa3W8/anLUkSFoslILEHBwcTEhIS8N6jRw8WLVqEyWTizjvvxG63ExERQXBwMKqqIssyQ4cODdgZ6NGjxxnbmzJlSsD4gAEDUFU1oOe0SZMmBTQB2717dzp06ICiKISEhPi3VXrn4aqrrqJhw4akpKQQExODVqulR48eKIriv3mvUaNGRERE+NdTci+AoigEBQUBYDabCQ0N9a+7pP48Ho+/W1Sr1Upubi6KouByudBqtf7e38LDw/07JseOHQN8OxAWi4WNGzcCEBkZ6d8xKSkzcOBALBYLixcvBnx70GPGjGHjxo3+MgMGDCA4ONj/fGdJmWXLlnHs2DEkSfLv4JTsmERGRnLdddexfv160tLSkCSJ7t27Yzab/TsmoaGh9OrVi+3bt5OdnU1RURFRUVGYTCb/GZOSHZODBw/6d0waNmyIwWDwnzEp2TFJS0vz75jExsai1Wr9Ozyld0zcbrf/bIwsywFnTPR6PYqinNHHumvPHoo//AgpIhzLLbegrVXrnN9v4cqU58jlWOExchw51LbUpml4Ii9sfp4cezZ5zjw+HvQZvxxZzDf7vwZgbNMbmNh8MieKThBmCCM+NB6v4qVfnf60impNpDGKeHMceo2ejwd9FrCt5pEtquATVj9XdAJv1iyRgoUfENp4CI7ejYneW0je0aN0796dJmW0xnYhFEWhqKiIgoICioqKyM/P9/c4dnovZCVlSsZTU1P9w0VFRQE7Av/3f/9X5vYkScJsNhMcHIzFYiE4ODhguHQnKWV1mFIyXPrl8Xj880qrddoPd8nZArfb7S/bsmXLgDKNGjU6I+aePXsGjLdp0+aMMsOGDQsYL2vHZPLkyQHjgwYN8u+YlCSgkh2TkvEePXrQqVMnFEUhODi4zB2TNm3a0LhxYxRFITo6Go1GU+aOSWRkJIqiEBoaik6no1GjRiiKgtlsBiA4OBi73R6wblmWURTF3+xucXExubm5OBwOXC4XsiyTnJwcsGNy5MgR/w5FZGQkQUFBZe6YHD9+HDhzxyQyMpLRo0ezYcOGgDJms5kff/wxoMyyZcs4fvw4kiT51/PT2rVIdesQevIkA5b/xonOnSguLsZisVCnTh1MJhNerxedTnfG30io2Up+g3IduRwpOEy2PZs4czztYtrx/KZnSCtOI8eewyeD5rAmZQ2f7PoIgCENhtIsojk2t41wYziNw5vg9rrpndCHZhHNiDJFEWWKRpIk3ur/TsA2G4Y1omHYmb8bwpkk9XyHi9XMqFGjAlq7uRSqqvLi25/xU1YtEkKX41y1jylT/sWYMWPKZf2XGpvNZvMn85JEXzJ8+stqtZ4xXvIqKioqs7vScynpY7yk+9KyujEtedntdv8Peck0k8nkHy/pk7xkmtFoJCgoyN8/ubi7nvNeN1NVNeDv53K5/GdMgoKCsFqtuN1u/44JQE5Ojn/nITY21n/5QFEU4uLi0Gg0/rMYRqORxo0b+y9DKIpCkyZN0Gq1bP38C5zbt2OwWuky7kbWG43+SydDhgxBo9Hw008/odfrqVOnDv3792f37t24XC7MZjN16tTxd9xTke0eVOa1x8uBV/EiSRJ5jjz25e4l256NK9fF2M43MHPTcyQXHiXHkcOHAz7hj4xtvLX9fwD0rdOfBzpM44XNzyMhEWmK5KZmE7B57GTaMog0RRFpjESvuTI7axLXwCuJJEmM7N+VNQsOkeFN5M772zKmf9Unb/j7yLqkL/BLpaoqdrvdn8ytVmvA++nDxcXF2Gy2gOGS8aysLP+43W7HarX6r8FfDIPBgNFo9L9Kj58+XDJ++nDpMnq9/rzlS79KylfnftVPP619ep/zp58tAc743pScMSmtRYvAU5GNGzc+o0zvG2/AERWFbDZj7N+PgUajv9tck8nkbzPBarX64zhy5AhpaWkAjBgxAofDwa+//uo/5d+zZ0927dqF1+vFYrGQkJDgP4IXO3SXzulxoJV15DvzScreQY49mwhjJP3q9ufFzTPZn7ePfEc+b/V/h+TCZF7Z+hIArSytGcsNhBpCaRbRnEhTJBpZQ6e4Trza+3WiTFGEGcIBeKzLEwHbtOiDiQkSzUZXpur7i1UJDh48yF8//Ux7Wxir5DoksYUJVR1UBZEkyX90XN727t1L06ZNcTgc/qRe8l7yKhl3OBz+95Lh0uMOhwOn0xkwXFRURFZWln966feSlu7KgyRJZyT2CxkuGT99+GzzyyqTmpqKy+UKmH/6MlXVap8mMhLzDWMDp2k0/iP94OBg2rZtGzB/2LBheDwef1K3Wq106NCB4uJiQkJCAN/3Ji8vD4AbbriBEydOsGrVKoKCgmjSpAmdO3cmKSnJf80+ISEBjUZzxs7MlURVVaxuKwaNgWK3lS3pW8ix5xBiCGFow2G8svUltmf+hdVt5dXer2N1W3njj9cB6BjbiX51+xNnjsOsMxNlisKkNdE2ui1v9n2LSFMkKYdSALi33dQzth1uFI1NVTcVmsDXrl3LzJkzURSFsWPHcvvttwfM37x5M3fffTcJCQmA74ahe++9tyJD8lu+fDmjRo3iVpOJMbGNWDXqaf48aiPVmkptS+1KieFyotFo/GcMKpuiKAEJ/UKGz/ZyuVxnHS8ZLrmhrmRayaukXOmnAspTyY1mpyf20i+dTnfe6ecbPn3a6dNLpp1rXslwaGgokiQRFhbm7y+gxNixY3G5XFitVkJCQvB6vbRt2xar1er/HiUlJWGz2QBfa4aHDh1iw4YNWCwWmjVrRtu2bdmxYwc6nY68vDy8Xq8/wde0JO9rFSyfIF0QTq+T9anryLFnY9IGcUPijby+7VV+T/sdl9fJM92fx6Q18vb22UhItI1px9CGw6gfUp8QfQiRpijCjRHUDanHO/3fJ9IUiUlrAuDmVrecsW2L3rczVtPq7EpXYdfAvV4vgwYN4tNPPyU2NpYxY8Ywa9asgFN0mzdv5pNPPuH999+/4PWWxzXw/Px8unfvjslk4kVFJTgzk6fufAe7IZNm0b/z3xv+VyWJqKa62Gs+iqrg8rpweZ24FDcurwu34sLldeNWfC+P/92DW3HjVbx4FA8exY1XPTWsevEqXryqB6/qxasoKKoXr+pFUZW/3xUvCgqKWvrlPfWuoqKeGvddb1ZQfNeeUfzTVFRUVUGh9Pjf033/mFQU1besb7lTyyu+bfqXKbXOksfW/l4fUGr9vlHVv34VlVP/EfB/9bQpKiBxxv0P6mlDF/TDfbYiZ5kulcw466olzrlZqdQ6zlGm5KNJpbel/j1fQvLVFxJQHu0SnDeqM6ic+TNbMk1GRuHvJ0BK1l56mb8/Q3lFJFSUG+PHc1OXyjmXW2FH4ElJSdSrV486dXwP1Q8ZMoQVK1aUeY2tsp04cYLGjRvTrFkzvn3nXSJDQ2hosrO9qDYptfOYt+gHJt845fwrugKpqorNY6PIVUSx24rVbWV/0X5OJB/H5rFhc9uwe2zYPDbsHjsOjx2bx47D48DpdeD0OnF4HDi8DjxK+Zz6LiFLMhpJ43vJGmRJ458mS/IZw/4XErLkOzVbMk1CQiPJp67HSv5pkiQhlTF+tnfAP+5bj++dU/+XT7WlnJ+fT3h4uL+8v0xAEvt7udLrD5gnlZ5y5vzTy4Dka1vA6z11d7yConj974pX8e0Qeb3+98By3lPLn9pBOlXeNz1weUUpe9i/rVLrLWnvICCe0ssppberBDwCeV7ldcwiSb62AfQa9GYdqhtkJIIbWNCYtEiSRPF+G5ZmZoy1fU8vOA86UQtVjB2MqF4VbOA9pCBFSmAE2SOjsWmQvRpkrYSsatCcesxPlmUk6e9h+dT2JVlGlqUyykhnLiOf+o6XWq70/MLCAiIiIkotV8Z6pVLTSi0vDt59Yh1n3mtSUSosgWdkZATcNBMbG0tSUtIZ5bZv387w4cOJiYnhkUceOe/jWy6Xi717915SbMXFxTidTtauXcvmYisNmkbTO3QbFF2D29aUlfaVNN/aoswbgy5HiqpQ7C2myFNI4alXkbcIq8eK9dR7sddKsdeGzVsccLTgd/LvQb1kwKgxYJB9L71kwCDrscjB6HU69AY9OlmHTtKjk3ToZB1aSYtO0qGVtWilv18aSYtW0vjfZUnjm44mIGHLyDX69J8jzIHRYDx/wYqgAWr4E2CqqlJcXIxWq8Xj8fhfXq8Xj8eDy+Xy329hNBrJzc0lLy8Ph8NBcHAwer2evXv3+h/va9CgAWnpaeTZ81BNCiH6EExyECmRx/EavahaleikWHKbZGNrUAyA4S8T0mEZR9NisINaCLrDBlSXgvO4G2+hF/cJN85sF/kri/A6vLjdbn+MXq/X//J4PP7HDUt/jtLTqpuSpK7VagPeNRpNwKtkXunhknLnWr5k/aevp6zpF/t+tu1JkhSwrbKW9Xg8vkaytMfJP5JPs2bNyu2GzLOd4aywBF7WmfnTf2BbtmzJypUr/Q1c3HPPPSxbtuyc69Xr9Zd8i/6cOXM4fvw4RqOR2E7NaXpnb3LC9+Da25yiY/XIaP4nt993O9/M+YbExMRL2lZ14FW95NhzSC9OI8OWQUZxOpm2TLLt2f72hD3qmT8IZq2ZUEMoYUHhxOhjCNGHEKwPIUQfTLA+BIvegkVnIfNEJq0TW2PSBmHSmdBIoovUf6o6PwLlTk7Ge+wYyBp0iU3RxFTPO43/SR16FA+5jlxy7NmEGEKJM8fxSdJHZFgzyHfm83Dfh5m98U1+yzoIQPf4boxtciO3rPkXesVAMBZmvz2br1d+xYHsA4Qbwuk3uR/NE1qw98BewoLDCA4OJvKOyAr7vIqiBCT30sOnT/N6/95ZOH249A5PcnIy8fHxZ+xUlFX+fGXKiuH04bLWUzLsdrvPmH76Ts25ppe8qupJ6YEDBzJ79myaNm1aYduosAQeFxdHenq6fzwjI4OY0/7hlz7C7dOnD8888wy5ubkV3rXm3r172b9/PxMnTsSja0ZhSiINty/g4JEthHUYCSRgq5/MDz/8wOOPP37B683MzOT48eOEhIRU6B/tbBweByeKjnO88Bgp1hRSramkWlNJKz4ZcLpalmQijZFEB8XQLKI5UaYoIk1RRBgjTr0iCTOEXfBznHuz9hItHh+57HhSUyn+8iuKP/wI1W4HQI6JIXjqfQSNHoV86m7y6sbpdZJlyyLHkU2IPoQGoQ35MOl9MmwZ5DpyeLnXayw4/CNf7JkDwPWNRnJL61vZkLYeo8ZIpCkKl9fJwOaDaBjfiChjFPVDGxARFMHcwd9hK7b52v6XNHRO6EKCXAer1UpsUByFhYVs+X0L8HerfStXriQzMxOLxUKnTp0ICQnh6NGj/tYYw8LCLupzltzUWJ6q847kxVJV9YykfrZX6Z2ikp2C0sOldxZKpicnJ3PfffdhP/VvpMSyZct4/PHH+eqrr8r971SiwhJ469atSU5O5sSJE8TGxrJ48WJef/31gDJZWVlERUUhSRJJSUn+1qcqWklb1snJybTo0IxjXgvNmvbngPMrJNlJ3oEbiO3Ylnm//sKEe5OpE1wHjXz2o0qXy8U333zDzJkziYyMJDMzk8GDBzNt2jQaNGhQ7vGrqkqGLYOjBUc4UnCYowVHOFZ4jAxbhr+MVtISb4mnlrk2neI6EW+uRWxQLHHmOKJM0QFd4QnC6TwZGeQ/OB3nunUgSWhqxaO6PSiZmRQ88X94jh0ndMYjSKdapqssdo+d9OI0f5eQzSKa80HSe76d1fxUZjV8g/Wp63gv6V3A1xXkve2mkpTtu3wXZYrC7rXTMbYjofpQIk2R1AmuC8Bn134RsK1mEc1pFhGYzExGEyajyT+emJgYcJZOVVUmTZqE1Wr1X5ePiYlBURSKi4uRZZnc3FzWr18P+A50hg8fzrJly8jPz8disdC1a1cMBgMpKSmYzWZ/k8vCxSk5/X22dh58N5uCLIFXUXF7FRQFNBoJo05DXrELRfHdkBppMWBzeSiwufGqKhaDloMHD4IlhqAQGSQZW8ZRUH1/+x9++IFp06bRrVu3CvlsFfYrrtVqefLJJ7n11lvxer2MHj2aJk2aMHfuXADGjx/P0qVLmTt3LhqNBqPRyKxZsyrlOmZUVBRt27Zl3bp1DLCEEtG2Nit/+43ty9bQYEQ2Ec2H4C7ugr7HA0z++BcskUe4qq6FF69+iuNFx9DJOuLNtfyx/vjjj8yfP5/WrVuzdetW6tati8vlYsaMGXzyyScX9ex1WloaS5cuZeWqlehCtST2TCS0UQgpjhMcyjtEscd33U1GpnZwAk3Cm9K/7gDqh9SnTkhd4oLizrnTIQjn4ly9Fue6dRivvRYpyIT3+Akw6NH06Y03JZXiDz/EdO1ADF27lts2bW4bx4uOk2vPIUgXRNuYdnyY9D5HCo6QY8/m2R4z2Zu7x/9cc8/avWgW0Zxjhcdweh1E66NxK27axrRjWoeHiDRGEm/xNf87u9/bAdsqOTIvb5Ik+VscLNGqVStatWrlH3d7vIy9cRxWazE6jYTLo2AOjcTmVik61QPg/uSTrF7jS/LN6teiZ99rWPDLchwOB+HBQQy6ujtHs22kZ2ZjNJpo1ygWh6rlZJ4dr6ISHWKgbqSZLYdz8Hh9T0F0bRzFyXw7h9KL8KoqdSPNJMaHsDTpJG6viqKoNDCoHEwvZMexfLyqStO4YNrVj+Cb35NxeRQUFW7qXp99JwvYdCgbrwJX1Q2jR9No3v3tIE637ymOewY0ZcfxfFbuTserqnRuGMmA1vG8+NNu7C4PigpPjGjFlsM5LPorFUVV6ZUYw/UdEnh47l/YnB4UVeX1Ce1Zvz+LbzcdQ1FhQKs4xnevz20fbab4VJlPbuvKb7vS+WzdERRVZXi7BP59dSPGvLkWq8O3rR8f6M3iv1J5d8VBFEVlTJe63DcwkX4v/IbN6bvvYcVj/VmwLYXZy/YDML5bPf5zbTNG/3ctNtffZRb+keovM65bPbJTUmj57zfQGHy/89teGoXXZfP/vUsaNKoIFXoY1qdPH/r06RMwbfz48f7hiRMnMnHixIoMoUytW7cmNjaWhx56iF9//ZVrW+7i/e1J1L76dpy5XjY9OZPOT8xGo4/HXdiQ3IJGrD4CgzavAm0ebsNBIuMP0S/63wTLoXy7/S9Sc9PY9cd+DGGxZO45ypY/dzDhxjFs3br1jDo4F6/iZcuhzTz34XNkkkF473BMkUayyIBjUD+kPr0SetMwtBENwxpSL6Q+Bk3lHgUJ1ZuqqngVFVX13XGu1cj+H0RFBYtBi8uj+H8AjToNwSYdafm+H3/F7Ub/3Xe4x47jxB+78ObnE+ywEmnL50hkXdTGTZAGjSFo/Ubym7fhRI4Nr6oSG2KkfrSF3w9m+RKCqtKzaTSpeXaSTmSRXpyBMaiIJnFm8rLqsSJ5NSet6ejCk5jS5GG2Hsli+bHlaE1ZdG0Uy+6D4WxI1uHw1Kd9s2j2phTz55EIWioPclXdMK5t1YC3lu0n3D0JRYVB9VQOnYTfdubhVaPo0iiS1ldF8dyPO3G4vSgqPDWyNVuO5LDwjxS8ikqfZjGM7FSHB7/6019Hb0zswPoDWczdmIxXVRnUOp4JPRrw7w82+evsszu6sWJXOh+vOYyiqAxvn8Bt/Roz6r9rKbK7UVRYOK03i7ef5K1l+1FUGNulLvdf24xrX1lNsdN3Seu3Gf2Yt+U4by7NBmBc1+aEh4cz5t0/KHb62seYO+wqFv+VyjtJGsBMh0gXg2WZ+79Owu72Xd/9v+5HKQhuzP+W+hJLt3iYObkXj37zlz/5/Hx/d9bvz/GXGde1HonxIby8aI8/ib09KoFdR3J5s1SZdvUj+HDVYX/MYzrXYXdKAZ+uPYIsSdzorUePptEs3p6KzeVBI0nc3q8xqbk21u3PRJYkYkN8N2juTsnH4VbQyBJer0qx00Navh1JAqvDt367y4vLq6CRJFTV9/01G3x39Rt1voOS+DATLo8Xjex7siMqxECbuuFIEiRE+hJpj6bRuL0qsiShkSUaxwUzsmMdJAna1fOd6Z3csyEer4IsSWhliXb1w7l3QFMkSaJ5bd9Zj6mDEv1H6HqNTLcmUYSbdb7umKPNLD8Yy+G3XgFJBlVB8TgD/j1GRUWVzz/sMlyR51Gvvvpqjh8/zu+//87gwYNZszuVFlNeBeDYsg+oXbs2EYpMsSmbEFlixpBeLEk6yZq9GbjtFihqR0p2Oz6nCCgCfV/CbgihXS8vsrYzAMVpGyiS9vDKhiLe/GstISYdr93UnpRcG0uT0ggx6biqbhhdm0TwU9IuTliPcKJ4P8ccf2D32tD2kAnPCiN3Ty65e/PIP5RPYXIRC+YtYFjbYef4dP+c73lk37AsS/69aEWFIL0Gl0fB7vJNM2g1mI1aMgsdp5KEb8+90O4m1+pEVSHYpCMq2MDB9KJTz2RD07hg8opdpObZUVWVqGADdSLN/HE0x/9j37lhJOkFDg5nFKGokBBhoklcCCv3pOPyKKgqXNMyjhO5NnaeyEdVVRrEWGhTN5wF207gdPuONEZ1qsORTCtbj+SgqNC8VghdGkcxZ+0R/w/5zX0asu9kIWv3ZaKoKm3rhXN181hmL92PzeW78eX+a5ux40QeS5PSUFXo3CiSwW1q8fyCXf4f+ydHtmbb0VwW/pHiP4oY1akO07/+k2KnB1WF1ya0Z+PBLL75/RiqqtK/ZTwTetTn9o83U+zwrWd673AW/ZXKZ2sPo6gwpG0tbrm6MTfOXo/V4UsI30/tydKkNN9RhKoyqmMd7h2YyOBXVlFod6OqKksf6cfi7an891ffD/CNXevywODmDJ+1xv8DufzRsstMenejv8xXNher7BY+6nc/AEN2Leffm77lqesewnbqSOObkyv4fXc6by49AEDXFnB9dx0zf1D966nf/iu6mO/m23UFAJii/6LTVVn8ueE6rI5IIJLR12k5kOrmx40OoBfXtgtlWscWjHp9K1aHr1GlD27ox5IdJ1mw1ZcQapnNhBvD+W1XEjaX74e8f50Y0vMdbD6cgyxB7XDfUfCRTCt2txdZkvAqKnaXhxyrE1kCh9uXuBRVRZJAJ8uogEErE27W+3oONPpu0a8fbcblUZAl3495bKiRTg0jkSSoH+NrN6Jv81h/8tHKMonxIYzvVh9JkriqbhgA/+rtSxoaWUKnkWlXP4L7r01EkiSaxvkaVHlgcHO8iopGlqgdH0s3o43IYAOSBHUjfR0RPTP6Kmw2Oy6ng3YNIpBMITizj2ErLkbrsaHRaHigVwRJSUlIwO6kvxjcsSvW5O1oZJkoUnC5GvLOhNYUFRViMZtxFWUzomMC17aphSyBQetLmIsfuhpJwpfoNBLjutVjfPf6Ab8jix66OmB8ZKc6jOxUJ2Dal3cHdko0uE0tBrcJ7CRp9pSOAeN9W8TSt0VswLRnx1wVMN69STTdm0QHTHtgcODlj/b1I2hfP/D+qn/1DjwL06J2KC1qhwZMG9Ex8DM0jLHQMObv+7fcV19N8UMPldl4U//+/enYseMZ08vLFd2Zyfz585k+fTrxtWqzN1uhTd1QYsKDyczMZPXq1Qx7cwhBDUx8OPATLHrfH8zp9nI0y8rB9CJ2pxSwJyWXw+k5eCXTGeuXtHaMGNDqNLgUJ/XjPejVMA6cdON0K0RFFaKJ2ETm4atRvb6j6GH9jrFmSQr5ckf0khdLwQEi85JIrTWA3EIbMbFxLHhsGOv2Z/HZWt8po8FX1eLfVzdiwjsbKLJ7UFWVr+/pwYrd6by74iCqqnJ9hzrcM6Apw15bTaHdjaKqLJ7elyXbT/LGr/sAuKFLXaZd15wBL66g6NQP8LJH+523zOyRtTliD77k9VRGmWKnB0mS+GX61Szflc5byw4gyzCyYx3uG5jImDfXUez0IEsw996erNmbwcerDyPLkj+p/vuDTdhdHmRJ4v1bOrPxYDZfbUhGI+NPzg98+QcOlxdJglfHt2fr0Rx+3HoCWZboneg76ntqXhLOU4llbHMdDlMMS3akoZEl/87CrF/24vT4ksxd1zTgULqdNfsy8apuWiRY6JEYwfxNORQ6bXhVDyM6R5BfaOSvo4UUuvNpEKOnTf1g/tyvJcuWi91jo0cLPVpPHIfTXaQUnSA2HBJrB5GXVYdjBcfJt+VQb98SQr77g2xdHAebBhHszaWW9SQhR+LY0D2CI40teGtlclvrR3A7Lby1/U00umIaRIVzX4uX+PnwT2Ta0qkfHcTVta5FVoM5XnSM2iFRNIyMpahYAgk0kkS4WY/bq5xKjr4EYdBp/MlSI19Yq2qX4w1Yl8rtdlNYWEhxcTFBQUFERkayevVqf78HN9xwA9u3b2fbtm0AJCQkMHjwYObNm4fRaMRsNtO7d29/V8klvRyKnucCLViwgJtuuingRrZWrVrx1VdfcdVVV51jyUtzRSdwq9XK7bffjkajYd26df4uGwGaNWvG63Ne5/2T79AorDEzOj921jutv/vuO+6dej9Wrw5DeByG0CiC4mNp1rEjifU7klKUS0ZRIR63FsVrAvXCng1UFQXV68brtCEbTGg1GmRZonF8OE6PQoHNjSxJRFr01I4I4lB6ESq+o4M2dcMosLs5mWdHliTiwkw0jLGwPTkPBRVZgk4NI8mzujiea0MjScSFGWkUE8yfybmoqq/Fqo4NI8i1ukjJtflOhYUZaRBtYcexPBRVRZYlIjU2zGFRpOU7kCWIDjaSEBnEvtQC36knWSIxLphCh5vsIieyJBEapCU6xMCJHDturwcVhdrhBjxemSK7gsNbjFEvE2bW4XKaKHIV4vQ6CDVLBGnC8HplMorT0GrBrNcRaahNhi2dQlcBOq1CLXMCetnI/ry9qJKCUWOgdVRrDuYfIsuWgYJKYkRTgnUh/H5yIwoKJq2JXrV78Wfmn6RaU1BVhXYxHQg1hLHs2K+oqkKQLoghDYexIXU9h/MPoaLSq3ZvIk1RfLf/G1RVJVgfzE3NJ7A0eSn78/biVbxcW/864sxxfLjzfRRVIcwQzp1t7mL+wfkkZW/H6/EwttmN1LLU5vVtr6KgEGGM5NHOM/hy7+f8lfEnADc1n0jd4Lq8tOUFAKJM0czo8vgFlflq7xf8mfFHmWUiTVE81uWJgDJDF2VQK83BB7fVAyA0381dHxzj9y7hZMQbiWzdia6thxBliiLVmkqoPowQQ0iV3SB59OjRCrlp9HLncrkoLi7GbreTn59Ps8REtv3xB3a7HZfLxTXXXMPuXbs4eOgQ4HsmuWnTpqxauRLjqR4H27ZtS2FhIS6n0z+tqtruryonjh/nr+3bsWWn0KZFU3r37k10dPT5F7wEV3QCB9ixYwdHjhwhLy/P36tW3bp16dWrF/Hx8fx+ciP//XMWOlnH9E6P0Ca67RnrKC4u5quvvuL111/nwIEDBIcGM/7+cTS9ugkp6gmOFBxBRSVIG0SryNY0D2/LiYIMsqxWcu3F/KvZnfx0cAlb0raDoiPB05Ctv+5AV8+Euxi8LhlXgUJcg9rUql8XkzkYgxyEqmjIcxTg8YKqShg0QdhcDpwe340bMloUVcJ1alxVfeUEQRCEinF710j+PbjiTpuXdsUn8As57ZZSlMJLW14gpegENzWfwKD6gzFqDOg0eiQksu3ZHM4/xKbDm9iXvZcsKRM3vudEEyOa0Ta6He1j29MorPFZGznJtGVyKP8gxwuPE5RnZvyo8Vz9v15odBpsGTZW3LmaLtM7EdPdt0f3n/YP0DKyJbcvvxWAmKBYPhr4CW/88TqrTqwsVaYVdy6/DVmWiQuK4+3+7/H29nfYmLoRWdJwc8tbaRTalGd/fwoZLZHGKKZ3eowf9v9AUtYOZEnDkIbDqRtcj492foiETKg+nMkt/8XKYys4mH8Ie7GdaxOvIyYolp8OLURCxqIPZkiDoWzN2EpKUQoyMm2i2xFpjGRt6hpkNJh0QXSv1YN9ufvIKs5ElmQahzUhWB9CUvZOZEnGqDHQIrIVJ4qOU+AsQJY0xJtrEaQN4njhMWRJRqvRkWCpQ54jB5vHjozsf449z5mPhIxW1hCiD8HhceBVvUhI6DR6ZElGURVfk6bqudvmvuB/KBfxL+r4iRPUrRN4ra2q/2HafvoZ+w8/lDnPcvfdGLp2qeSIzu3EiRP+ppuFi3MpdehwOCguLsbhcBAaGopWq2XXrl04HA40Gg3dunVj+/bt/vZBWrduTUREBNv/+gujyURwcDCNGzemsKAQRfX1Ua/X62tc97JSUTrdO7SunG2JBH5h183sHjtv/fU/1qWuDZiulbT+VsxkSaZecD2aR7agbUw7ropqQ5Dunz9CVlhYSK9evdi5aydBcUHIOpmiY0WMnTKGV/77KjqtjnBDOAaNgTxnHhpJRiNrCdGH4PQ6UVW1VHvgFf/lF9ceL111rENvfj7Wd9/D+t77cKrpTsliIfTpJwkaOxapmvWfXh3rsKap6DosLCyksLAQq9VKrVq1UFWV9evXY7VaCQoKYtiwYSxZsoQTJ04Avh4qw8PDWbt2LWazmejoaK666iqysrJ8NxhaLBgMhmrVjHJlfg+r17/AasykNfFQx4fpndCHTFsmLq8Tp9eFS3ESbYqhUVhjGoQ2KJdHukJCQnjllVcYMWIExSd9z3tHRUUx7c4HqR9WP6BslCnwEQXxSJlQXjRhYYQ8+gimESPw7N8PWi36q65CW1cc5QoXp6xGaYYMGRIw3q1bN1q0aEFxcTHR0dE4HA4kSSIzMxOXy8VVV13Fxo0bycjI8C9vMBjYtGkTFouF2NhYmjdvTlZWFhqNBovFUmEtoVU1kcD/AUmS6BJffg1XnMugQYPYtm0bmzZtQqfT0aNHDxo1alQp2xaEEpIkoW/eDH3zZlUdinCFCAsLC2he1mKxMGxY4KOzPXv29B/Jh4eHU1hYiMfjITU1FY/HQ/PmzVmzZg25ubkAjBw5Eo/Hw/bt2zGbzdSqVYvGjRuTnZ2NTqfDbDaftaW26qzmRXwFadmyJS1btqzqMARBEKqVyMhIIiP/7igmKCiIESNGAH93pNW7d2//I3QhISFkZmZit9vJyspCVVUaN27MsmXLsFqtANx4440UFRWxe/duzGYzCQkJ1K9fn+zsbAwGA2azudpdjxcJXBAEQbhslFwPj4mJCehAq06dOv4b9EqSfN++fSkqKsJqtWI2m8nJyaGwsJC0tDRkWaZ+/fosXrwYp9OJJElMnDiRjIwMDh48iMVioU6dOiQkJJCdnU1QUBCrV69m06ZNjB49mjZt2lT4ZxUJXBAEQbiilCT5+Ph44uPj/dMbNmxIw4a+1tkURUFVVfr160dxcTFWqxWj0YjD4SA3N5fjx4+j0+moVasWP/74I6qq4vF4ePHFF9m5cyc//vhjhX8OkcAFQRAE4TQlp8tPf6yuWbNmNGvW7FQT1L4j+YEDB5KSksI777yDx+OhXr16lRKjSOCCIAiC8A9J0t9N/NarV4969eoRHh7OoEGDGDRoUKXEIBK4IAiCIJSDFi1aIEkSsbGx5y9cDqrXLXWCIAiCIFwQkcAFQRAEoQYSCVwQBEEQaiCRwAVBEAShBhIJXBAEQRBqIJHABUEQBKEGEglcEARBEGqgGtcfeJcuXahdu3ZVhyEIgiAIlSI8PJyPP/74jOk1LoELgiAIgiBOoQuCIAhCjSQSuCAIgiDUQCKBC4IgCEINJBK4IAiCINRAIoELgiAIQg0kErggCIIg1EBXTAJfu3YtgwYNYsCAAXzwwQdnzFdVleeff54BAwYwbNgwdu/eXQVRVm/nq8OffvqJYcOGMWzYMMaNG8e+ffuqIMrq7Xx1WCIpKYnmzZvz66+/VmJ0NcOF1OHmzZu5/vrrGTJkCBMnTqzkCKu/89VhUVERd955J8OHD2fIkCHMmzevCqKsvmbMmEG3bt0YOnRomfMrLZ+oVwCPx6P2799fPX78uOp0OtVhw4apBw8eDCizevVq9ZZbblEVRVH/+usvdcyYMVUUbfV0IXX4xx9/qPn5+aqq+upT1GGgC6nDknKTJk1Sb731VnXJkiVVEGn1dSF1WFBQoA4ePFhNTU1VVVVVs7OzqyLUautC6vDdd99VX3nlFVVVVTUnJ0ft1KmT6nQ6qyLcamnLli3qrl271CFDhpQ5v7LyyRVxBJ6UlES9evWoU6cOer2eIUOGsGLFioAyK1asYMSIEUiSRNu2bSksLCQzM7OKIq5+LqQO27dvT2hoKABt27YlPT29KkKtti6kDgG++OILBg0aRGRkZBVEWb1dSB3+/PPPDBgwgFq1agGIejzNhdShJEkUFxejqirFxcWEhoai1WqrKOLqp1OnTv7furJUVj65IhJ4RkYGcXFx/vHY2FgyMjLOWSYuLu6MMleyC6nD0n744Qd69+5dGaHVGBf6Pfztt98YN25cZYdXI1xIHSYnJ1NYWMikSZMYNWoUCxYsqOQoq7cLqcMJEyZw+PBhevXqxfDhw3n88ceR5SsiXZSLysonV8QulVpGa7GSJP3jMleyf1I/mzZt4ocffuDrr7+u6LBqlAupw5kzZ/LQQw+h0WgqK6wa5ULq0Ov1snv3bj777DMcDgfjxo2jTZs2NGjQoLLCrNYupA7Xr19P8+bN+fzzzzl+/Dg333wzHTt2xGKxVFaYNVpl5ZMrIoHHxcUFnM7NyMggJibmnGXS09PPKHMlu5A6BNi3bx9PPPEEH374IeHh4ZUZYrV3IXW4a9cupk2bBkBeXh5r1qxBq9VyzTXXVGqs1dWF/lsODw8nKCiIoKAgOnbsyL59+0QCP+VC6nD+/PncfvvtSJJEvXr1SEhI4MiRI1x11VWVHW6NVFn55Io4J9K6dWuSk5M5ceIELpeLxYsX069fv4Ay/fr1Y8GCBaiqyvbt2wkODhYJvJQLqcOTJ09y33338corr4gfyzJcSB2uXLnS/xo0aBBPPfWUSN6lXEgd9u/fn23btuHxeLDb7SQlJdGoUaMqirj6uZA6jI+P5/fffwcgOzubo0ePkpCQUBXh1kiVlU+uiCNwrVbLk08+ya233orX62X06NE0adKEuXPnAjB+/Hj69OnDmjVrGDBgACaTiRdeeKGKo65eLqQO3377bfLz83nmmWcA0Gg0zJ8/vyrDrlYupA6Fc7uQOmzUqJH/2q0sy4wZM4amTZtWceTVx4XU4d13382MGTMYNmwYqqry0EMPERERUcWRVx/Tpk1jy5Yt5OXl0bt3b+677z48Hg9QuflEdCcqCIIgCDXQFXEKXRAEQRAuNyKBC4IgCEINJBK4IAiCINRAIoELgiAIQg0kErggCIIg1EAigQuCIAhCDSQSuCBcAWbPns3HH39c1WH4bd68mTvuuKOqwxCEGk0kcEEQBEGogUQCF4TL1LvvvsugQYP417/+xdGjRwHYu3cvN9xwA8OGDeOee+6hoKAAgM8//5zrrruOYcOG8cADDwBgs9mYMWMGo0ePZsSIEfz2229n3dbYsWM5ePCgf3zSpEns2rWLpKQkxo0bx4gRIxg3bhxHjhypwE8sCFeWK6IpVUG40uzatYtffvmFBQsW4PV6GTlyJC1btuThhx/m//7v/+jcuTNvvvkmb731Fo8//jgffPABK1euRK/XU1hYCMB7771H165defHFFyksLGTs2LF0796doKCgM7Y3ZMgQlixZQpMmTcjMzCQzM5NWrVphtVr58ssv0Wq1bNy4kTfeeIPZs2dXdnUIwmVJJHBBuAxt27aNa665BpPJBPg6V7Db7RQVFdG5c2cARo4cyX/+8x8AEhMTeeihh+jfv7+/85T169ezcuVKPvnkEwCcTidpaWlldgwyePBgbr75ZqZOncqSJUu49tprASgqKuKRRx7h2LFjSJKE2+2u8M8uCFcKkcAF4TL1T/of/uCDD9i6dSsrV67knXfeYfHixQD873//o2HDhuddPjY2lrCwMPbt28eSJUv8Hdq8+eabdOnShbfffpuUlBQmT558cR9GEIQziGvggnAZ6tSpE8uXL8fhcGC1Wlm1ahUmk4mQkBC2bdsGwMKFC+nUqROKopCWlkbXrl2ZPn06RUVF2Gw2evbsyZdffklJf0d79uw55zaHDBnCRx99RFFREYmJiYDvCDw2NhaAH3/8sQI/sSBcecQRuCBchlq2bMl1113H9ddfT+3atenQoQMAL7/8Mk899RR2u506derw4osv4vV6mT59OlarFVVV+de//kVISAh33303L7zwAsOHD0dVVWrXrs37779/1m0OGjSImTNncvfdd/un3XrrrTz66KN8+umndO3atcI/tyBcSUR3ooIgCIJQA4lT6IIgCIJQA4lT6IIgXLB169bx2muvBUxLSEjg7bffrqKIBOHKJU6hC4IgCEINJE6hC4IgCEINJBK4IAiCINRAIoELgiAIQg0kErggCIIg1ED/D7UHJSemBeG9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cpa_plots.plot_contvar_response(\n",
    "    reconstructed_response, \n",
    "    df_ref=df_reference,\n",
    "    response_name='MDM2',\n",
    "    postfix='MDM2',\n",
    "    title_name='Reconstructed dose response of MDM2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also look at this plot on the log10-scale. It makes sense for this dataset, because the measured doses were not evenly distributed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cpa_plots.plot_contvar_response(\n",
    "    reconstructed_response, \n",
    "    df_ref=df_reference,\n",
    "    response_name='MDM2',\n",
    "    postfix='MDM2',\n",
    "    logdose=True,\n",
    "    title_name='Reconstructed log10-dose response of MDM2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Perturbations: ['BMS', 'Vehicle', 'Nutlin', 'SAHA', 'Dex']\n",
      "Covariates: {'cell_type': ['A549']}\n",
      "Datasets splits: dict_keys(['training', 'test', 'ood'])\n"
     ]
    }
   ],
   "source": [
    "print('Perturbations:', cpa_api.unique_perts)\n",
    "print('Covariates:', cpa_api.unique_covars)\n",
    "print('Datasets splits:', cpa_api.datasets.keys())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can chose control cells from which we want to make our predictions. It is easy to chose these cells from either training or test splits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "genes_control = cpa_api.datasets['test'].subset_condition(control=True).genes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By default, the prediction function returns means and variances of the applied perturbations. By default, the prediction function returns means and variances of the applied perturbations. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 185 ms, sys: 48.8 ms, total: 234 ms\n",
      "Wall time: 71.5 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "anndata_predicted = cpa_api.predict(\n",
    "    genes_control,\n",
    "    cov={'cell_type': ['A549', 'A549']}, \n",
    "    pert=['BMS', 'Dex'], \n",
    "    dose=['1.0', '1.0'],\n",
    "    return_anndata=True,\n",
    "    sample=False\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, in some cases you want to sample from this distribution, so you can explicitly specify it in the predict function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 200 ms, sys: 29 ms, total: 229 ms\n",
      "Wall time: 66.9 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "anndata_predicted_samples = cpa_api.predict(\n",
    "    genes_control,\n",
    "    cov={'cell_type': ['A549', 'A549']}, \n",
    "    pert=['BMS', 'Dex'], \n",
    "    dose=['1.0', '1.0'],\n",
    "    return_anndata=True,\n",
    "    sample=False,\n",
    "    n_samples=10\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Evaluation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "genes_control = cpa_api.datasets['training'].subset_condition(control=True).genes\n",
    "df_train = cpa_api.evaluate_r2(cpa_api.datasets['training'].subset_condition(control=False), genes_control)\n",
    "df_train['benchmark'] = 'CPA'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "genes_control = cpa_api.datasets['test'].subset_condition(control=True).genes\n",
    "df_ood = cpa_api.evaluate_r2(cpa_api.datasets['ood'], genes_control)\n",
    "df_ood['benchmark'] = 'CPA'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "genes_control = cpa_api.datasets['test'].subset_condition(control=True).genes\n",
    "df_test = cpa_api.evaluate_r2(cpa_api.datasets['test'].subset_condition(control=False), genes_control)\n",
    "df_test['benchmark'] = 'CPA'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_test = cpa_api.evaluate_r2(cpa_api.datasets['test'].subset_condition(control=False), genes_control)\n",
    "df_test['benchmark'] = 'CPA'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_ood['split'] = 'ood'\n",
    "df_test['split'] ='test'\n",
    "df_train['split'] ='train'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cell_type</th>\n",
       "      <th>condition</th>\n",
       "      <th>dose_val</th>\n",
       "      <th>R2_mean</th>\n",
       "      <th>R2_mean_DE</th>\n",
       "      <th>R2_var</th>\n",
       "      <th>R2_var_DE</th>\n",
       "      <th>model</th>\n",
       "      <th>num_cells</th>\n",
       "      <th>benchmark</th>\n",
       "      <th>split</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.91</td>\n",
       "      <td>0.45</td>\n",
       "      <td>cpa</td>\n",
       "      <td>169</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.50</td>\n",
       "      <td>cpa</td>\n",
       "      <td>392</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.89</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.87</td>\n",
       "      <td>cpa</td>\n",
       "      <td>383</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.65</td>\n",
       "      <td>cpa</td>\n",
       "      <td>604</td>\n",
       "      <td>CPA</td>\n",
       "      <td>ood</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.85</td>\n",
       "      <td>cpa</td>\n",
       "      <td>160</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.91</td>\n",
       "      <td>0.75</td>\n",
       "      <td>cpa</td>\n",
       "      <td>297</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.64</td>\n",
       "      <td>cpa</td>\n",
       "      <td>376</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.81</td>\n",
       "      <td>0.91</td>\n",
       "      <td>0.73</td>\n",
       "      <td>cpa</td>\n",
       "      <td>299</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.81</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.71</td>\n",
       "      <td>cpa</td>\n",
       "      <td>118</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.64</td>\n",
       "      <td>cpa</td>\n",
       "      <td>143</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.59</td>\n",
       "      <td>cpa</td>\n",
       "      <td>282</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.77</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.64</td>\n",
       "      <td>cpa</td>\n",
       "      <td>137</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>A549</td>\n",
       "      <td>SAHA</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.74</td>\n",
       "      <td>0.89</td>\n",
       "      <td>0.81</td>\n",
       "      <td>cpa</td>\n",
       "      <td>129</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.88</td>\n",
       "      <td>cpa</td>\n",
       "      <td>457</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.91</td>\n",
       "      <td>cpa</td>\n",
       "      <td>284</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.83</td>\n",
       "      <td>cpa</td>\n",
       "      <td>387</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.82</td>\n",
       "      <td>cpa</td>\n",
       "      <td>180</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.92</td>\n",
       "      <td>cpa</td>\n",
       "      <td>350</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.89</td>\n",
       "      <td>cpa</td>\n",
       "      <td>136</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.76</td>\n",
       "      <td>cpa</td>\n",
       "      <td>200</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.92</td>\n",
       "      <td>cpa</td>\n",
       "      <td>135</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.85</td>\n",
       "      <td>cpa</td>\n",
       "      <td>252</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.78</td>\n",
       "      <td>cpa</td>\n",
       "      <td>107</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.81</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.29</td>\n",
       "      <td>cpa</td>\n",
       "      <td>265</td>\n",
       "      <td>CPA</td>\n",
       "      <td>ood</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.44</td>\n",
       "      <td>-0.40</td>\n",
       "      <td>cpa</td>\n",
       "      <td>6</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>A549</td>\n",
       "      <td>Nutlin</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.15</td>\n",
       "      <td>0.58</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>cpa</td>\n",
       "      <td>1</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.5</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.97</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>cpa</td>\n",
       "      <td>864</td>\n",
       "      <td>CPA</td>\n",
       "      <td>ood</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.05</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.01</td>\n",
       "      <td>cpa</td>\n",
       "      <td>484</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.97</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>cpa</td>\n",
       "      <td>486</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.27</td>\n",
       "      <td>cpa</td>\n",
       "      <td>568</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.19</td>\n",
       "      <td>cpa</td>\n",
       "      <td>218</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.36</td>\n",
       "      <td>cpa</td>\n",
       "      <td>222</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.17</td>\n",
       "      <td>cpa</td>\n",
       "      <td>210</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.24</td>\n",
       "      <td>cpa</td>\n",
       "      <td>479</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.09</td>\n",
       "      <td>cpa</td>\n",
       "      <td>238</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.94</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>cpa</td>\n",
       "      <td>264</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.91</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>cpa</td>\n",
       "      <td>204</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.66</td>\n",
       "      <td>0.91</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>cpa</td>\n",
       "      <td>108</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>A549</td>\n",
       "      <td>Dex</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.81</td>\n",
       "      <td>0.88</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>cpa</td>\n",
       "      <td>123</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.91</td>\n",
       "      <td>0.18</td>\n",
       "      <td>cpa</td>\n",
       "      <td>212</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.24</td>\n",
       "      <td>cpa</td>\n",
       "      <td>442</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.28</td>\n",
       "      <td>cpa</td>\n",
       "      <td>391</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.84</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>cpa</td>\n",
       "      <td>151</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.70</td>\n",
       "      <td>cpa</td>\n",
       "      <td>103</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.1</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.52</td>\n",
       "      <td>cpa</td>\n",
       "      <td>50</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.68</td>\n",
       "      <td>-1.30</td>\n",
       "      <td>cpa</td>\n",
       "      <td>59</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.73</td>\n",
       "      <td>-0.63</td>\n",
       "      <td>cpa</td>\n",
       "      <td>134</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.87</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>0.78</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>cpa</td>\n",
       "      <td>262</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.58</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>cpa</td>\n",
       "      <td>34</td>\n",
       "      <td>CPA</td>\n",
       "      <td>ood</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>0.01</td>\n",
       "      <td>0.84</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>0.74</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>cpa</td>\n",
       "      <td>82</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.69</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>0.35</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>cpa</td>\n",
       "      <td>13</td>\n",
       "      <td>CPA</td>\n",
       "      <td>train</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>A549</td>\n",
       "      <td>BMS</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.46</td>\n",
       "      <td>-2.04</td>\n",
       "      <td>0.13</td>\n",
       "      <td>-0.88</td>\n",
       "      <td>cpa</td>\n",
       "      <td>6</td>\n",
       "      <td>CPA</td>\n",
       "      <td>test</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   cell_type condition dose_val  R2_mean  R2_mean_DE  R2_var  R2_var_DE model  \\\n",
       "18      A549      SAHA    0.001     0.97        0.94    0.91       0.45   cpa   \n",
       "18      A549      SAHA    0.001     0.97        0.93    0.92       0.50   cpa   \n",
       "20      A549      SAHA     0.01     0.97        0.89    0.95       0.87   cpa   \n",
       "3       A549      SAHA      0.5     0.97        0.85    0.92       0.65   cpa   \n",
       "20      A549      SAHA     0.01     0.96        0.90    0.93       0.85   cpa   \n",
       "22      A549      SAHA      0.1     0.96        0.80    0.91       0.75   cpa   \n",
       "19      A549      SAHA    0.005     0.95        0.86    0.92       0.64   cpa   \n",
       "21      A549      SAHA     0.05     0.95        0.81    0.91       0.73   cpa   \n",
       "21      A549      SAHA     0.05     0.95        0.81    0.88       0.71   cpa   \n",
       "19      A549      SAHA    0.005     0.94        0.85    0.90       0.64   cpa   \n",
       "23      A549      SAHA      1.0     0.94        0.80    0.85       0.59   cpa   \n",
       "23      A549      SAHA      1.0     0.94        0.77    0.85       0.64   cpa   \n",
       "22      A549      SAHA      0.1     0.94        0.74    0.89       0.81   cpa   \n",
       "16      A549    Nutlin      0.1     0.99        0.99    0.98       0.88   cpa   \n",
       "12      A549    Nutlin    0.001     0.99        0.98    0.96       0.91   cpa   \n",
       "14      A549    Nutlin     0.01     0.99        0.98    0.96       0.83   cpa   \n",
       "14      A549    Nutlin     0.01     0.99        0.98    0.94       0.82   cpa   \n",
       "15      A549    Nutlin     0.05     0.99        0.97    0.98       0.92   cpa   \n",
       "15      A549    Nutlin     0.05     0.99        0.97    0.95       0.89   cpa   \n",
       "16      A549    Nutlin      0.1     0.99        0.97    0.95       0.76   cpa   \n",
       "12      A549    Nutlin    0.001     0.98        0.99    0.94       0.92   cpa   \n",
       "13      A549    Nutlin    0.005     0.98        0.96    0.95       0.85   cpa   \n",
       "13      A549    Nutlin    0.005     0.98        0.96    0.93       0.78   cpa   \n",
       "2       A549    Nutlin      0.5     0.86        0.81    0.80       0.29   cpa   \n",
       "17      A549    Nutlin      1.0     0.70        0.63    0.44      -0.40   cpa   \n",
       "17      A549    Nutlin      1.0     0.15        0.58    0.00       0.00   cpa   \n",
       "1       A549       Dex      0.5     1.00        0.98    0.97      -0.03   cpa   \n",
       "9       A549       Dex     0.05     1.00        0.97    0.96       0.01   cpa   \n",
       "10      A549       Dex      0.1     1.00        0.97    0.97      -0.17   cpa   \n",
       "11      A549       Dex      1.0     0.99        0.97    0.96       0.27   cpa   \n",
       "10      A549       Dex      0.1     0.99        0.97    0.96       0.19   cpa   \n",
       "11      A549       Dex      1.0     0.99        0.97    0.94       0.36   cpa   \n",
       "9       A549       Dex     0.05     0.99        0.96    0.94       0.17   cpa   \n",
       "8       A549       Dex     0.01     0.99        0.88    0.96       0.24   cpa   \n",
       "8       A549       Dex     0.01     0.98        0.88    0.94       0.09   cpa   \n",
       "7       A549       Dex    0.005     0.97        0.73    0.94      -0.10   cpa   \n",
       "6       A549       Dex    0.001     0.95        0.84    0.91      -0.11   cpa   \n",
       "7       A549       Dex    0.005     0.95        0.66    0.91      -0.28   cpa   \n",
       "6       A549       Dex    0.001     0.94        0.81    0.88      -0.47   cpa   \n",
       "0       A549       BMS    0.001     0.98        0.97    0.91       0.18   cpa   \n",
       "0       A549       BMS    0.001     0.98        0.96    0.92       0.24   cpa   \n",
       "1       A549       BMS    0.005     0.97        0.94    0.87       0.28   cpa   \n",
       "1       A549       BMS    0.005     0.96        0.94    0.84      -0.03   cpa   \n",
       "4       A549       BMS      0.1     0.93        0.87    0.85       0.70   cpa   \n",
       "4       A549       BMS      0.1     0.90        0.86    0.73       0.52   cpa   \n",
       "3       A549       BMS     0.05     0.88        0.73    0.68      -1.30   cpa   \n",
       "3       A549       BMS     0.05     0.87        0.73    0.73      -0.63   cpa   \n",
       "2       A549       BMS     0.01     0.87       -0.27    0.78      -0.93   cpa   \n",
       "0       A549       BMS      0.5     0.86        0.63    0.58      -0.27   cpa   \n",
       "2       A549       BMS     0.01     0.84       -0.39    0.74      -1.00   cpa   \n",
       "5       A549       BMS      1.0     0.69       -0.22    0.35      -0.20   cpa   \n",
       "5       A549       BMS      1.0     0.46       -2.04    0.13      -0.88   cpa   \n",
       "\n",
       "   num_cells benchmark  split  \n",
       "18       169       CPA   test  \n",
       "18       392       CPA  train  \n",
       "20       383       CPA  train  \n",
       "3        604       CPA    ood  \n",
       "20       160       CPA   test  \n",
       "22       297       CPA  train  \n",
       "19       376       CPA  train  \n",
       "21       299       CPA  train  \n",
       "21       118       CPA   test  \n",
       "19       143       CPA   test  \n",
       "23       282       CPA  train  \n",
       "23       137       CPA   test  \n",
       "22       129       CPA   test  \n",
       "16       457       CPA  train  \n",
       "12       284       CPA  train  \n",
       "14       387       CPA  train  \n",
       "14       180       CPA   test  \n",
       "15       350       CPA  train  \n",
       "15       136       CPA   test  \n",
       "16       200       CPA   test  \n",
       "12       135       CPA   test  \n",
       "13       252       CPA  train  \n",
       "13       107       CPA   test  \n",
       "2        265       CPA    ood  \n",
       "17         6       CPA  train  \n",
       "17         1       CPA   test  \n",
       "1        864       CPA    ood  \n",
       "9        484       CPA  train  \n",
       "10       486       CPA  train  \n",
       "11       568       CPA  train  \n",
       "10       218       CPA   test  \n",
       "11       222       CPA   test  \n",
       "9        210       CPA   test  \n",
       "8        479       CPA  train  \n",
       "8        238       CPA   test  \n",
       "7        264       CPA  train  \n",
       "6        204       CPA  train  \n",
       "7        108       CPA   test  \n",
       "6        123       CPA   test  \n",
       "0        212       CPA   test  \n",
       "0        442       CPA  train  \n",
       "1        391       CPA  train  \n",
       "1        151       CPA   test  \n",
       "4        103       CPA  train  \n",
       "4         50       CPA   test  \n",
       "3         59       CPA   test  \n",
       "3        134       CPA  train  \n",
       "2        262       CPA  train  \n",
       "0         34       CPA    ood  \n",
       "2         82       CPA   test  \n",
       "5         13       CPA  train  \n",
       "5          6       CPA   test  "
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_score = pd.concat([df_train, df_test, df_ood])\n",
    "df_score.round(2).sort_values(by=['condition', 'R2_mean', 'R2_mean_DE'], ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   condition dose_val  R2_mean  R2_mean_DE  R2_var  R2_var_DE  split num_cells\n",
      "18      SAHA    0.001     0.97        0.94    0.91       0.45   test       169\n",
      "18      SAHA    0.001     0.97        0.93    0.92       0.50  train       392\n",
      "20      SAHA     0.01     0.97        0.89    0.95       0.87  train       383\n",
      "3       SAHA      0.5     0.97        0.85    0.92       0.65    ood       604\n",
      "20      SAHA     0.01     0.96        0.90    0.93       0.85   test       160\n",
      "22      SAHA      0.1     0.96        0.80    0.91       0.75  train       297\n",
      "19      SAHA    0.005     0.95        0.86    0.92       0.64  train       376\n",
      "21      SAHA     0.05     0.95        0.81    0.91       0.73  train       299\n",
      "21      SAHA     0.05     0.95        0.81    0.88       0.71   test       118\n",
      "19      SAHA    0.005     0.94        0.85    0.90       0.64   test       143\n",
      "23      SAHA      1.0     0.94        0.80    0.85       0.59  train       282\n",
      "23      SAHA      1.0     0.94        0.77    0.85       0.64   test       137\n",
      "22      SAHA      0.1     0.94        0.74    0.89       0.81   test       129\n",
      "16    Nutlin      0.1     0.99        0.99    0.98       0.88  train       457\n",
      "12    Nutlin    0.001     0.99        0.98    0.96       0.91  train       284\n",
      "14    Nutlin     0.01     0.99        0.98    0.96       0.83  train       387\n",
      "14    Nutlin     0.01     0.99        0.98    0.94       0.82   test       180\n",
      "15    Nutlin     0.05     0.99        0.97    0.98       0.92  train       350\n",
      "15    Nutlin     0.05     0.99        0.97    0.95       0.89   test       136\n",
      "16    Nutlin      0.1     0.99        0.97    0.95       0.76   test       200\n",
      "12    Nutlin    0.001     0.98        0.99    0.94       0.92   test       135\n",
      "13    Nutlin    0.005     0.98        0.96    0.95       0.85  train       252\n",
      "13    Nutlin    0.005     0.98        0.96    0.93       0.78   test       107\n",
      "2     Nutlin      0.5     0.86        0.81    0.80       0.29    ood       265\n",
      "17    Nutlin      1.0     0.70        0.63    0.44      -0.40  train         6\n",
      "17    Nutlin      1.0     0.15        0.58    0.00       0.00   test         1\n",
      "1        Dex      0.5     1.00        0.98    0.97      -0.03    ood       864\n",
      "9        Dex     0.05     1.00        0.97    0.96       0.01  train       484\n",
      "10       Dex      0.1     1.00        0.97    0.97      -0.17  train       486\n",
      "11       Dex      1.0     0.99        0.97    0.96       0.27  train       568\n",
      "10       Dex      0.1     0.99        0.97    0.96       0.19   test       218\n",
      "11       Dex      1.0     0.99        0.97    0.94       0.36   test       222\n",
      "9        Dex     0.05     0.99        0.96    0.94       0.17   test       210\n",
      "8        Dex     0.01     0.99        0.88    0.96       0.24  train       479\n",
      "8        Dex     0.01     0.98        0.88    0.94       0.09   test       238\n",
      "7        Dex    0.005     0.97        0.73    0.94      -0.10  train       264\n",
      "6        Dex    0.001     0.95        0.84    0.91      -0.11  train       204\n",
      "7        Dex    0.005     0.95        0.66    0.91      -0.28   test       108\n",
      "6        Dex    0.001     0.94        0.81    0.88      -0.47   test       123\n",
      "0        BMS    0.001     0.98        0.97    0.91       0.18   test       212\n",
      "0        BMS    0.001     0.98        0.96    0.92       0.24  train       442\n",
      "1        BMS    0.005     0.97        0.94    0.87       0.28  train       391\n",
      "1        BMS    0.005     0.96        0.94    0.84      -0.03   test       151\n",
      "4        BMS      0.1     0.93        0.87    0.85       0.70  train       103\n",
      "4        BMS      0.1     0.90        0.86    0.73       0.52   test        50\n",
      "3        BMS     0.05     0.88        0.73    0.68      -1.30   test        59\n",
      "3        BMS     0.05     0.87        0.73    0.73      -0.63  train       134\n",
      "2        BMS     0.01     0.87       -0.27    0.78      -0.93  train       262\n",
      "0        BMS      0.5     0.86        0.63    0.58      -0.27    ood        34\n",
      "2        BMS     0.01     0.84       -0.39    0.74      -1.00   test        82\n",
      "5        BMS      1.0     0.69       -0.22    0.35      -0.20  train        13\n",
      "5        BMS      1.0     0.46       -2.04    0.13      -0.88   test         6\n"
     ]
    }
   ],
   "source": [
    "cols_print = ['condition', 'dose_val','R2_mean', 'R2_mean_DE', 'R2_var', 'R2_var_DE', 'split', 'num_cells']\n",
    "df_score = df_score.round(2).sort_values(by=['condition', 'R2_mean', 'R2_mean_DE'], ascending=False)\n",
    "print(df_score[cols_print])\n",
    "# print(df_score[cols_print].to_latex(index=False))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Uncertainty"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can profile all the predictions with an uncertainty score. Low uncertainty means \"good/trustworthy\" predictions, high values mean \"bad/unknown quality\" predictions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'A549': {'BMS': [0.001, 0.005, 0.01, 0.05, 0.1, 1.0, 0.5],\n",
       "  'Dex': [0.001, 0.005, 0.01, 0.05, 0.1, 1.0, 0.5],\n",
       "  'Nutlin': [0.001, 0.005, 0.01, 0.05, 0.1, 1.0, 0.5],\n",
       "  'SAHA': [0.001, 0.005, 0.01, 0.05, 0.1, 1.0, 0.5],\n",
       "  'Vehicle': [1.0]}}"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cpa_api.measured_points['all']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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DoEKtRZyDLY56orOh+IkSFCEsYhgGP5eqMS0xbEhbKEZFBMDXS4Tz1fxMUCYzg78fuILaZm6Oqa9va4e2w+SUAgkrOhuKfyhBEcKiSrUOtS16uwskrERCAcZHS3H+Gj8T1OXaFmz7oQj7Cqo5ef2Kzgq+BCdN8QF0NhQfUYIihEXHSy0ti+zZ/9RTWrQUF6pbeNkjrrjesjZWqeamPZC1xHy4XSS6orOh+IcSFCEs+rG4AWH+EiRHBgz5sakxQdB2mFDawL9CiZJ6yx/xCq4SlFoLgQCIDbF/XW8wXc+GIvxACYoQljAMgyNFKsxICneoFNpaKMHHaT7rCIqrBFXRoEF0kC+8xc472JHOhuIfuxJUU1MTy2EQ4nmuKFtR39qOmUnhDj0+KTIAErGQlwnKOoKqatRxMgVZ7sQKPis6G4p/7EpQd911Fx577DHk5ub2ec4TIaS3I1dVACwdyh3hJRJiXJQU56/x6w+m2cygpF4Df4kI7UYz6tvaXR5DRec5UM5mreTj47rfSGRXgjpw4ABWr16NvXv3Yv78+di6dStKS0vZjo0Qt3akSIVREf6IDnZ8nSQtWorz1c28emNY26KHzmDCzZ0jQ1dP87XqDWjQdDi1QMJqfJQUmg4TZ1OXpDu7EpRAIMCMGTOwdetWvPjii/jyyy+xatUq/OIXv8Dp06fZjpEQt9NhNON4idrh6T2rtJggtOqNvPqDWdK5/jRnbASA6yXfrmJrEjvMLuZ9sZ0NRdN8vGDXcRuNjY346quvsHfvXoSHh+NPf/oT5s6di0uXLuHxxx/H999/z3achLiVUxWN0BlMw05Qto4S15qd1tZnuIo7159mJ0dAIIDLT6K1Jms2pvhsZ0NVt2AxnQ3FObsS1Jo1a7B06VJs374dcrncdnt6ejrWrFnDWnCEuKsjV1UQCQW4cbT9/ff6kiwLgJdIgPPXWnD7hGgnRTc8JfVtCPAWIzbEF1FSH5eP7px5zEZP1rOh+NrBY6Sxa4rv8ccfx6OPPtotOX3zzTcAQAcOEtKHI0UqTIwNgtTHa1jP4y0WYaw8EBd49AezRKXBqAh/CAQCxIb6uXyzboVag1B/CQKHeW37k6EIxpnKJl6t+41UdiWot99+u9dtO3bscHowhHiCZq0BBVVNmJkc4ZTnS4sOwrlr/CmUKK5rw+gIy8bjuFA/VKp1Ln398gbnl5h3NTkuBE1aA3WS54EBp/hyc3ORl5cHpVKJF1980XZ7W1sbRCLnbZAjxJMcK1HBzACzHCwv7yk1Jggf/1yJa006xIaw94fZHtoOI6qb9RgVblkPiwv1Q22LHnqDCT5ervmbUN6gxZSEENae/4Z4y3OfLG+0JWLCjQFHUDKZDGlpafD29kZqaqrtY+7cuXj33XddFSMhbuVIkQr+EhEyFMFOeb7rHSW4ryyzVvCN7mzdZD1CpKrRNaOoDqMZNc06xLM4ghodEQCpjxinK+hEY64NOIJKSUlBSkoKbr/9dnh5sTPfS4inOXJVhRtHhcFL5JxOYilyS2XZ+WvNWJgmH/wBLLJOe42KuD6CAixNY5Mc6Dc4VFWNWpgZII7FikahUICMuBCcKm9i7TWIfeyq4isoKMC2bdtQXV0No9EIhmEgEAiQk5PDdnyEuJVKtRZlDVrcf3OC057Tx0uE5MgAXlSWFde1QSC4fsyFwpqgXFRqzmYFX1eT44Lxes5VtOgNwy50IY6zK0E9++yzePrpp5GWlgahkPrLEtKfo0Wd7Y2Guf+pp7SYIBy6Umd7c8iVEpUGsSG+tvWmiABv+HgJXbZZt7yzszv7CSoEDAOcrWzCLCcVu5ChsyvbBAYGIjMzE2FhYQgJCbF9EEK6O1ykgkzq7fTprrRoKVRtHVC2uL7vXVcl9W3dCgcEAgEUIX4u2wtVrtbCTyJCRIA3q6+TERcMgcBSKEG4Y9cIavr06XjllVdw2223QSKR2G5PTU1lLTBC3I3ZzODHIhXmpsicPspJj71+9IY8yMepz20va5PY6YndNx/Hhfqh0kVFEhWdJeZsjyKlPl4YExmIUxVNrL4OGZhdCers2bMAgPPnz9tuEwgEeP/999mJihA3dLGmBY1aA2YmD697RF/GRUkhFFhaHs0bL3P689vD2iTWWiBhpQj1w/FStUumH8vVWluJO9smxwdjX0ENzGbGofO8yPDZlaA++OADtuMgxO0d7jxeY4aT158AwE8ixuiIAE47Slh78PXcG6QI9UNbuxGNWgNC/SV9PdQpzGYGFWotbhnrmjWhSXEh2HWiEsX1bUiWBbrkNUl3AyaovXv3YtmyZdi5c2ef3//lL3/JSlCEuKOjRSqMlQUiMpCdKbi0mCAcK25g5bntYdsD1WMEZS01r1BrWU1QylY9OoxmVkvMu7Ju2D1V0UgJiiMDFknodJZ5ZY1G0+cHIcRCbzDhRJna4cMJ7ZEaLUVtix71rdwUShTXtyHQW4yIwO4FCl33QrHp+jEbrummMSrcH8F+XlQowaEBR1DWTuW//e1vXRIMIe7q5zI1OoxmVhOUraNEdTNuGRvJ2uv0p6T+epPYrmJDLN0k2K7kq3DRHigrgUCASYpgKpTgkF1rUO3t7di9ezeuXr2K9vbr797++te/shYYIe7kSJEKXiIBpieGsvYa1sP0zldxlaDacOOo3gUg/t5ihAdIWB9BlTVoIBYKEDOME4qHanJcCH64Uo9mrQFBfrRh19Xs2gf15JNPor6+HkeOHMG0adOgVCrh78+Pw9MI4YMjV1WYHBcCP4ld7/kcEujjhVHh3JxVZGsSG9H3770i1I/1bhLlai1iQnwhdlILKXtM7lyHOl1J03xcsOtfuqKiAhs2bICvry/uvPNO/Pvf/0ZhYSHbsRHiFtSaDlyobnFa9/KBpMYEcdI09nqBRN8bkONC2d+sW8HyMRt9magIhlAAnKJ1KE7YlaDEYsu7QqlUisLCQrS2tuLatWusBkaIu8gtrAMAp53/NJC0aCmuNenQqOlg/bW6spaYj+onQSlC/FDdpIfRZGYthvIGjcvWn6wCvMUYK5fSOhRH7EpQq1evRnNzMzZs2IBf//rXyMrKwsMPP8x2bIS4hYOX6hAR6I0JnUUMbOpaKOFKJfUaCAT9FyjEhfrBZGZQ06xn5fWbtB1o0RsRH+r6pYXJcZYTdk1mfhwYOZLYlaBuvPFGBAUFYerUqcjJycGxY8cwY8YMtmMjhPc6jGbkXanH3LGRLuk2kBrNzdlQxfVtUIT49XsooaLLXig2WEvM41w8ggIshRJt7UZcrWt1+WuPdHYlqMcee6zXbY8//vigj8vLy8OCBQswf/78Po+I/+qrr7BkyRIsWbIEa9asweXLl+0JhxDeyC9To7XdiFvHuaaqLsjPCzHBvrhS69oEZS0x74/14ELWEpTatSXmXdk27NL5UC43YMlRcXExioqK0Nraim+//dZ2e1tbW7dy876YTCZs3rwZO3fuhEwmw8qVKzF37lwkJSXZ7hMbG4sPP/wQQUFByM3NxZ/+9Cd89tlnw/yRCHGdg5fqIBELWd3/1FOKPBCXa133bt5sZlCq0uCm0f33GIwK8oVYKGAtQVV0HrPh6iIJwJIUQ/0lOFneiLunx7n89UeyARNUaWkpDh06hNbWVvzwww+22/39/fHCCy8M+MQFBQWIj4+HQqEAAGRlZSEnJ6dbgpo8ebLt84yMDNTW1jr0QxDCBYZhkHNZiRmjw1gtL+8pJSoQuYX16DCaIRGzX3Jd00+T2K5EQgFiQ3xZ2wtV3qBFRKC3S6+zlUAgwOS4YDoCngMD/mvPmzcPt9xyC95++2088sgjQ3pipVIJufz68dQymQwFBQX93n/37t2YPXv2kF6DEC4V17ehvEGLdbNGufR1U+RSGM0MiuvbMC5KyvrrlfTTJLYnRagfqwkqgYPpPatJcSE4eKkOjZoOhLDYb5B0N+jbL5FIhKNHjw75iRmmd8VLf634f/rpJ+zevRtPPPHEkF+HEK4cvGQpL781xbVdHcZFWRqXXnbROlRxnbXEfOAKOgWLe6HK1RrEcVDBZzU5jjbscsGu+YHJkydj8+bNyM/Px4ULF2wfA5HL5d2m7JRKJSIje/8iX758Gc899xy2b99Op/QSt5JzSYnxUVJEu7D1DgAkhPlDIhbico1r1qFKVBoE+ogHPcU2LtQPjVoDWvUGp76+3mCCsqWdk/Unq4mKIIiEAiqUcDG7JnRPnToFAHj99ddttw12YGF6ejrKyspQWVkJmUyG7Oxs/OMf/+h2n+rqavzud7/Dq6++isTEREfiJ4QTjZoOnCxvxG9vSRr8zk4mFgkxRhaASy4qlLBU8AUMehjh9a7mOoyPdl7fuqrO03rjwlz7RqArP4kY46ICqbO5i7F2YKFYLMamTZuwbt06mEwmrFixAsnJydi1axcAYO3atXjzzTfR1NSEv/zlLwAs04lffPHFkF+LEFc7VFgHMwPcOo6b021T5FLkFta75LWK69twUx9NYntShFzfC2VtbOsM1nUtLkdQgGWab/fJKhhNZpf2AxzJ7EpQKpUKW7duRV1dHd555x0UFRXh9OnTWLVq1YCPy8zMRGZmZrfb1q5da/t8y5Yt2LJliwNhE8Ita/eIdBd0j+hLijwQu09WQdXWjvBBpt6GQ9NuRE2zHqMjBy6QANg7F8rahNaaALkyOS4E7x8rxxVlq23DNGGXXW8DnnrqKcycORN1dZZF4YSEhAGn9wjxZK7uHtEXa/XeFZan+UpVlv1Ho8IHL1AI8vOC1Efs9K7mFQ1aeIuFvQ5KdDVroQQ1jnUduxJUY2MjFi9eDKHQcnexWGz7nJCR5mcXd4/oS4rcUsl3qYbdSj5rk1h7RlAAO5V8FWpLF/PB1sDYpgj1RVSQD44WNXAax0hiV5bx8/NDY2Oj7X+QM2fOIDAwkNXACOGrg5eULu8e0VNYgDfCA7xZ7yhRXK+BcIAmsT2xcexGZaPO1uuPSwKBALOTI3C0WMVq13Zynd1TfL/+9a9RUVGBNWvW4I9//COee+45tmMjhHcYhkHOpTqXd4/oy7ioQNb3QpXUt0ER6gdvcd9NYnuKC/VDVaMOZid1/mYYBpVq158D1Z/ZYyLQqjfiTGUT16GMCHb9hqWmpuLDDz9EaWkpGIZBYmIivLzo+GMy8hTVtaFCrcX62a7tHtGXFHkg3jtWzmpVWUm9xq71J6vYUD90GM2oa22HPMhn2K/fpDWgrd2I2BDuSsy7mpkUDqEAyCusx5SEUK7D8Xh2/V/90UcfQavVIjk5GWPGjIFWq8VHH33EdmyE8E7O5c7uERyuP1mlyKXoMJpR1tlI1dkYxtIktr9DCvsS5+RjNyp4UmJuFeTnhYmKYOReVXEdyohgV4L69NNPIZVe39cQFBREXcfJiGTtHhEVxP07+pQoa6EEO+tQypZ26AwmJAxhBMVaguKwD19Ps5MjUFDV5PJTjUciuxKU2Wzu1lvPZDLBYHBuOxNC+M7aPWIeD0ZPAJAUGQCRUMDaOpS1xDwxzP4EFRPsC4HAeXuh+LIHqqvZYyLAMMCRIhpFsc2uNaiZM2fi8ccft22y/fjjjzFr1ixWAyOEb364wm33iJ68xSKMjvBnrSdfeefU4VAOCZSIhYiS+jgvQam1CPOXwN+b24KUribGBkHqI0ZeYT2WTIzmOhyPZte/+pNPPomPP/4Yu3btAsMwmDFjxqBdJAjxNDkcd4/oS4pcylp/uNIGDSQi4ZCb4TpzL1SlWodYnqw/WYlFli0GeVfrwTAM5/uzPJldCUooFOLuu+/G3XffzXY8hPBSu9GEvMJ6ZE2I4qx7RF9SogLx1dlqNOsMCPJ1bmVtmUqDuDA/iIb488aF+iHvqnP6BFaotZioCHbKcznT7OQIfH2uFoXKNoyV055QttiVoE6ePIlt27ahuroaRqPR9q4hJyeH7fgI4YUjV1VobTdiQap88Du70Dj59ZZH0xKdW/ZcptIiYQjrT1aKUD8oW9qhN5jg42Xf/qm+GE1mXGvSYcnEKIefgy2zx0QAAHIL6yhBsciuBPXss8/i6aefRlpaGrU4IiNSdkENgny9MCOJu+4RfUnpcnihMxOU2cygrEGD2WOG/vNaK/mqGrVIinT8j3dNsx4mM8OrAgmr6GBfJEUGIK9QhfWzR3MdjseyK0EFBgb26kpOyEihN5jw7UUlFqfLIRHz6w2aXOqDIF8vp5ea17bo0W40D6nE3EoRalmzqlTrhpWg+HLMRn8yx0Tgg5/KoeswwVfi+EiR9M+u37bp06fjlVdewenTp+0+UZcQT5FXWI+2diOyJvCvYksgECBF7vyWR2UOlJhbWUc8w+1qbisx52mCmj0mAh1GM34qpeaxbLFrBHX27FkAsCUl6xoUHblBRoLsczUI8fPCzaMHP7SPC+OipPg0vxJmM+O0Ao6yBktyiHdgBBUR6A1vsXDYpeYVai1EQgGinNAyiQ3TE0PhLRYir7Aet4zlx944TzNggtq5cycA4JZbbgFgebcWEhKCG264AQqFgv3oCOGY3mDCwYtKLM2IhhdPT1FNkQdC22FCZaMW8Q6MePpS1qCBd+eepqESCASIDfFFpVo3rBgq1DrEBPvy9vRaHy8RpiWGIs9FJxuPRAP+y2s0Gmg0Gmi1Wmi1Wmg0Gpw/fx4PP/wwsrOzXRUjIZw5dKUOmg4TstL5N71nldJ5eKEz16FKVRrEh/k5PCJThPoNf4pPrbWtZ/FV5pgIFNdrcK1peMmY9G3AEdRvf/vbPm9vamrCL3/5S2RlZbESFCF8sa+gBmH+Etw4ir+dq8fIAiAQWCr5FqY5pwy+TKVBogPTe1aKEL9hnzxbqdbitlR+dO3oz+wxEUD2JeQV1mPttDiuw/E4Do2dg4ODu/XmI8QT6TpMyLlUh4Vpct5OMwGAn0SMhDDntTwymxmUq7XDS1ChvmjRG9Gsc6xnp6bdiAZNB2J5WGLeVXJkAORSH5rmY4lDv3XHjh3r1t2cEE/0w5U66AwmZE3g30bRnpxZyVfdrEOHgyXmVrZKPgcLJazTg3wtMbcSCASYPSYcR4rolF02DDjFt2TJkl63NTc3IzIyEq+88gprQRHCB9kFNQgPkGB6Ij+r97pKkUux/0ItNO3GYTdWLVN1VvAN44gLRZfNumkO9C60FljwPUEBlmm+T/OrcLaqCTfE83cq2B0N+H/yv/71r25fCwQCBAcHw8+P///TEDIcmnYjci4rseoGxZB70XEhJSoQDAMUKlsxKS5kWM9lPQBxuGtQAByu5LM2m+XrHqiurKfs5haqKEE52YAJKiYmxlVxEMIr31+ug95gxu1uML0HXO/Jd7nWCQlKpYGPlxCyQMf3HwX5eSHQR+xwJV+lWosAbzFC/JzbAJcNwX4STIgNRl5hPTbOH8N1OB6Fvyu/hHAou6AGkYHemJLgHu+IY0N84S8R4XLN8Nehyho0SAjzH/amX0WIn+NrUGotYkN83eYoi9ljLKfsNmnplF1nogRFSA9t7Ub8cKUOi9Oj3GJ6DwCEQgHGygNxqXb4lXylKo1DXcx7UoT6orLR8Sk+d1h/spozNgJmxnJmGHEeSlCE9JBzSYl2o9ktqve6SomS4nJNy7C2gJjMDCrVumFV8FkpQvxQ1agdcjwMw6Cy0b0SVEZsMGJDfLHnzDWuQ/EolKAI6WFfQQ3kUh/cMMy1HFcbJw9Ei96Imma9w89R3aRDh8mMxPDhJwdFqB/0BjPq29qH9Lj6tnboDWa3KJCwEgoFuCMjBkeLVKhrcfz6k+4oQRHSRavegNwr9Viczq+Tc+0xtsvhhY4q7exi7oyefl2P3RgKvh+z0Z87JsXAzABfna3mOhSPQQmKkC4OXlKiw+R+03uApasBAFytczxBlTuhxNzKWmpeNcRKPmtC43sfvp6SIgMwITYIX56maT5noQRFSBf7ztYgOsgHkxTBXIcyZCH+EoQHeOOqss3h5yhVaeEnESEy0HvY8cQ62E3CugeK722O+nJHRgwuVLegUOncAyRHKkpQhHSqb23HocJ6LMmIdrvpPavkyABcrXM8QZU1aBAf5u+U8m5fiQjhAd4OTfFFBnrDx8v9TqldMjEaIqEAe2gU5RSUoAjptOf0NZjMDFbd4L5nnY2RBaCors3hSj5LF3PnjVwspeZDH0G52/qTVUSgN2Ylh2PvmWqYzdRQe7goQRECS2nzp/mVmBQXjKTOtRx3lCQLRFu7Y5V8RpMZFWqtU/ZAWSlChn4uVKUbJygAuHNSDK416XCiTM11KG6PEhQhAM5WNeNqXRvumuK+oyega6HE0Kf5rjXpYDQzTtkDZaUI9UV1k97uTt8dRjNqWvSIdeMENX+8DH4SEU3zOQGrCSovLw8LFizA/PnzsWPHjl7fLy4uxurVq5GWloZ3332XzVAIGdBn+ZXw8RK6Te+9/oyRBQIArjqwSG8tMXf2CMpkZuwe0V1r0oFh3K/EvCs/iRgLU+XIPlcDvcHEdThujbUEZTKZsHnzZrzzzjvIzs7Gvn37UFRU1O0+wcHBePbZZ/HQQw+xFQYhg9IbTPjqbDUWpUUh0If/zUkHEuovQZi/xKFKvvIGy1RcglPXoDor+eyc5rNW/ClC3KvEvKc7J8egVW/ED5ep9dFwsJagCgoKEB8fD4VCAYlEgqysLOTk5HS7T1hYGCZMmACxeHjn1xAyHAcu1KJVb8SqG2K5DsUpkiIDHNoLVarSwF8iQkTA8EvMrWx7oeys5LOWmMcN4ywqPrh5dDgiAr3xBU3zDQtrCUqpVEIul9u+lslkUCqVbL0cIQ77LL8KsSG+uHEU/w8mtMcYWSCuKodeyVfWoEFCuHNKzK2ign0gFAxtBCURDe+oDz4QCQVYNjEah67UoVFDHc4dxVqC6uuXw11a55OR41qTDkeLVVgxOdZt9z71lCwLQGu7EcqWofXAK1NpnFogAQBeIiGignzt3qxb2Wg5ZsMT/i3umBQDg4lB9rkarkNxW6wlKLlcjtraWtvXSqUSkZGRbL0cIQ75/GQVGAZY6SHTewBsZfJDmeYzmMyobNQh0YkFElZDOXajQq11qyaxA0mNlmKMLICq+YaBtQSVnp6OsrIyVFZWoqOjA9nZ2Zg7dy5bL0fIkJnNDHafrMLNo8M85o8icL2Sr3AIhRJVjTqYnFxibjWUgwsr1Tq368HXH4FAgDsmxSC/vBEVDY4d3DjSsZagxGIxNm3ahHXr1mHx4sVYtGgRkpOTsWvXLuzatQsAUF9fj9mzZ2Pnzp146623MHv2bLS1Od6mhZChOFGmRoVai1VTPGf0BABh/hKE+HmhaAgjqLIGa4m58xO1ItQPda3tg5ZcN2sNaNYZ3LrEvKdlGTEAQOdEOYjV8rnMzExkZmZ2u23t2rW2zyMiIpCXl8dmCIT069P8SgR6i7Ew1b33PvUkEAiQHBk4pFLzMuseKDZGUJ0joqpG3YBdOqyFFJ6UoGKCfTE9MRR7Tl/D7+Ym0Tr8EFEnCTIitbUb8c25Wtw+MQq+EvdrSjqYZFkACpWtdlfylak0CPQWI8xf4vRYrKXmg1XyVbpxF/OBrLwhFiUqDXIL67kOxe1QgiIjUnZBNXQGE1a5eWuj/iRHBqBFb0R9q32VfKUNWqeXmFtZ1/eqBlmH8pQ9UD0ty4hBdJAP/ifnqsNNfEcqSlBkRPosvwqjI/zd8twneyRbWx7Z2ZOPjRJzq4gAb0jEwkEr+SobtQjy9YLUzbt59CQRC/HrOaNxqqIJPxY3cB2OW6EERUackvo25Jc3YtUUhceuCSTLLGs99hyc12E0o6pRi0SWRi5CoQCxIYPvhSqp13jU+lNXq6YoEBnojf/Jucp1KG6FEhQZcT7Nr4JIKMDySTFch8KaiABvBPl62TWCqmzUwsywUyBhNdixG3UtehwvVWNGUjhrMXDJx0uERzJH43ipGsdLaBRlL0pQZETRG0z45OcK3JoSiUipe7fTGYilki8ARXZU8pV3lpjHs7BJ10oR6jvgybqfn7IcFnmXh5X8d7V2WhzCAyR44/uiwe9MAFCCIiPMV2er0ag14IEZCVyHwrpkWSAK6wav5CtVWUY2iSyPoJp1BrToDb2+Zz0sclpCKEZFuO9hkYPxlYiwfvYoHClS4WR5I9fhuAVKUGTEYBgG/3e0DGNlgbjJQxrDDiQ5MgBNWgNUbQM3Ky1TaSD1ESPEj73iBNuxG32sQ50oVaNUpcHqqZ5ZUdnVPdPjEeLnhTe+p7Uoe1CCIiPGz2WNuFjTggdmJHhscURX1kKJgXryMQyDn8vUGCMLZPWa2PZC9THN90nnhunF6Z61Ybov/t5irJs1Coeu1KOgqonrcHiPEhQZMf7vx1IE+XrhjgzPLY7oKjnSUmpeNEChxOnKJlyubcWdk9m9Jte7SXQfQbXoDfj6XA2WZER75Ibpvtx3UzyCfL3wPzm0FjUYSlBkRKhu0uHABSXWTFWMmD+EMqk3An3EA5aa/+d4BfwlIlvPOLYE+Xoh0Fvca4rvqzPV0BvMWDMCpvesAn288OCMRBy8pMSF6mauw+E1SlBkRPjwp3IwDINf3BjPdSguY63k668nX7POgH0F1ViaEYMAb3ZPtRYIBIgN9eu1WffT/EqkyAORHhPE6uvzzQMzEhDoLcY2qugbECUo4vH0BhN2najA/PEyjzpWwx7JkYH9TvHtOX0NeoMZd0+Lc0ksih6bdS9Wt6Cgqhmrp3ruhun+BPl64YEZCfjmfC2u1NrfdX6koQRFPJ61tPz+mxO4DsXlkmUBaNB0oKGte08+hmHwn+MVSI8JQnqsa0YvilA/VDXqbGXvn+ZXQiISjpg1wZ4enJEIf4mIuksMgBIU8WgjrbS8p/568p2qaMIVZSvunu6a0RNgGUHpDCao2jqgN5jw5elrWJAmRwgLHdTdQYi/BOtmjUL2uRocuFA7+ANGIEpQxKONtNLynpJtx793T1DW4oglE6NdFottL1SjFgcu1KJZZ8BqD+0mb69Hb0lCWowUT31egLoWPdfh8A4lKOLR3vuxbESVlvcUFeSDAG8xrnap5GvWWoojlk1ivziiq66bdT/Nr0RsiC9uHj3yRrVdScRC/HN1BrQdJjy5u4CO4+iBEhTxWNVNOuy/UDuiSst7EggESOpRyffl6Sq0G11XHGEVG2LZC3WsuAFHixpw1xQFhMKRN6rtKSkyEM9mjUNuYT0++Kmc63B4hRIU8VgjsbS8L8mRAbYpPoZh8J8TFZgQG4Q0F5d2+0nECA+QYPfJKggElpNmicW9N8Yjc0wEtmRfQtEAnT9GGkpQHqCt3Yh3DpfggZ0n8N1FJdfhDIhhGDS0taOgqgnfnKvBO4dL8OevLuDh9/PxzuESp73OSC4t72mMLBCqtnY0ajpwqqIRhco2l4+erGJD/GA0M5idHIHoYF9OYuAjgUCAv62cAD+JCBs+OYMOo5nrkHjBdRPQxOlqmnX4v6Nl+M+JCrTqjQj1l+DQlXwsTpfjz0tSeXecxLtHSvH3A1egM5i63e4vEcHfW4yDl5SYmhCKiU445XbP6WsjtrS8pyTZ9UKJj3+uQIC32KXFEV0pQv1wprJpRDSGHapIqQ/+unwCHvnwJP55sBD/b2EK1yFxjhKUG7pY3YJ3Dpfgq7PVMDMMFqdH4eFZozA+WoodeSV4PecqDl9V4elF47BmKj/m+XMuKfFi9kXMTArHLWMjERPii5hgX8SG+CLI1wtt7UbM25qLp784h69+OwNikeODe6PJjO2HijEhNmhElpb3ZK3kyy9XI7ugBitviIW/C4sjupoSH4Lz15oxb5yMk9fnu4Vpctw1JRZv5RZjzthITEsM5TokTgkYNysbWb58Ob744guuw3A5hmHwU4ka2w8V4fBVFfwkIqyeqsCDMxJ7TWGVqjR45otzOFbSgGmJoXjpznQkRXJ3zk5RXSvuePNHJIT7YfcjN8PHq++Chf3na/DIh6fwXNY4rJs1yuHX+/J0FX7/yVnsuPcG3JYqd/h5PAXDMEh7/gDEIiGadQZkPzYTqdHctRZiGGZElvzbq63diMWvH4bJzOCbDbMg9WHvGBS+ozUonmMYBrmF9bjr38ew9u2fcKmmFf9v4Vgce+pWPL8ktc/1lcRwf/zn4el4dcUEXKltxeLXD+ONnKswmlw/r92sM+Dh90/Cx0uIf987pd/kBAALUuWYNy4S//i2sFfXa3uZzQy2fV+EFHkgvUvvZK3ka9YZMDE2iNPkZI2H9C/AW4zXVmegplmH3398BvoeU+IjCSUonmIYBt9dVOKON4/i/v89gapGHf6yNBVH/ngLfjMnCUGDHC4nEAhw11QFDm7MxG2pMvzju0Ks2fGTw3/4HWEyM3j849OoVGux/Z4bEDPIorhAIMBflqVBIACe33vBoT0h+y/Uorheg0dvSeLF1CZfJHUeveHKzhHEcTfEh+Avy9KQc7kO697Lh7bDyHVInKAExTMGkxl7z1zDotcP4+H389GoNeDl5enIffIW3H9zwoAjkL5EBHpj292T8c/VGbjcOZr65lwNS9F39/dvr+DQlXr8eWmq3XPpMcG+2Dh/DHIu1w25/QvDMHjj+yKMivAfEYffDcXM5DDEh/lxVhxBhu7eG+Px91UT8WOxCve+ewLNOgPXIbkcrUHxRF2rHruOV+Kj4+Woa23HqAh//PaWJCydGD2sgoGuyhs0eGzXaZytasbaaXHYdPt41jaw/vdsNX636zTWTovDX5enD+mxRpMZS7cdRYOmHQc3ZiLQzjn4gxeVWPd+Pv6xaiJW0B4b4iG+OVeDxz4+jeTIQLz/0DSEB3hzHZLLUILiEMMwOF3ZhPd+LMPX52pgMDHIHBOB+2+Ox5wxkaxMUXUYzdj6XSH+lVuM5MgAvHH3JKTIpU59jfPXmrHyXz8iLToI/3n4RkjEQ0+wZyubcMf2o7j/pgT8eWnqoPdnGAZ3bP8Rak07vv/DHHg5KakTwgeHrtThkQ9PIjrYFx+tm46ooJGxh4x+iznQojfg4xMVWLrtKJZv/xHfX6rDL26Mx/d/yMR7D07D3BQZa+snErEQTy1KwQcPTUOj1oCl247io+POa6+iamvHrz44iRA/Cd76xQ0OJScAmKgIxv03JeC9Y2U4W9k06P2PFKlwtrIJv85MouREPM6csZF4/8HpqGtpx8q3jqG8QcN1SC5BIygXMZkZHL5aj89PXcO3F2rRbjQjKTIA998Ujzsnx7q0aaeVqq0dGz89i7zCevzixjg8vyR1WH/cW/UGrH37JxTVteHTX92ECbHBw4qvVW/AvK25CPP3HnRv1F3/PoaKBi1y/98ceItHZt894vnOVTXjvv89Di+REG/9YjJuiPfsfVKUoFh2pbYVX5yqwpenr6GutR1Bvl5YOjEaK26IxcTYIM5Lbk1mBq8euIx/55ZgRlIY3rx7MoL9hn4+j95gwgM7TyC/rBFv3zcFt6REOiU+696oOzKi8UzWOEQG9u6OcbykAat3/ITnl4zHL2ckOuV1CeGrq8pW3P+/J1DdrMfyyTF4alFKn78XnoASlJMxDIPLta345nwt9p+vQaGyDWKhAHPGRmLF5BjMHRfJy3f4u09W4ZkvziE62Afv3D91SBt7jSYzfv3RKXx3UYnX12RgmROPtmAYBn87cAU78krgLRbikczRWDdrVLfijnvfPY5LNS048se5Q65yJMQdadqN2PZDEd45XAJvsQgb5iXj/psTPG56mxKUEzAMg7NVzfjmfA0OnK9FWYMWAgEwNSEUi9PkuH1itFtU3pwsV+NXH5xEu9GMN++ejNljIgZ9DMMweHJ3AXafrMJflqay1vuuVKXBK99cxv4LtZBJvfHEbWOxfHIsCqqacOf2H/H0ohT8KnM0K69NCF+VqjT4y38v4NCVeiRFBuAvS1MxIymc67CchhKUg1r1BhwtakBuYT0OXalDTbMeYqEAN40Ow6K0KMwfL0NEIP+TUk9VjVqsey8fhcpW/On28Xjg5v5PomUYBi99fQlvHy7FhnnJ2DBvDOvx/VymxovZl3C2sgnjoqTw8RKiVKXBkT/O5WQdjxCuMQyDnEt12LzvIirUWixMleP+mxMwPTHU7TerU4Kyk9nM4GJNC3IL65FbWI9T5Y0wmhkEeIsxIykMt42XY9442aAdHtyBpt2I339yBt9eVCJDEYyZSeG4aXQYbogP6TaFtv1QEV7dfwX33xSPPy9Nddl6GsMw2FdQg1f2X0ZVow4b54/BY7cmu+S1CeErvcGEt/NK8K/cYmg6TJBLfbBkYhSWToxBWoyU8/VuR1CC6ofZzOBqXRuOlzbgeIkax0sboGrrAACMj5Iic2wE5oyJwOT4EI+b9wUsP///Hi1F9rkaFFQ1w2RmIBEJMSkuGDeNDoNQIMDW7wqxLCMar92Vwck7tXajCUeuqjArOcLhcnZCPI22w4icS3XYe6YauYV1MJgYjAr3x9KMaCxKi0JyZIDbjKxYTVB5eXnYsmULzGYzVq1ahfXr13f7PsMw2LJlC3Jzc+Hj44OXX34ZqakDb8pkK0EZTGZcrmnFiTI1jpc04OcyNRq1ltYiUUE+mJ4YipnJEZidHM67c5bY1qo3IL+sET8Wq3CspAEXqlvAMMCcsRF4+74pHpmgCfEETdoOfHO+Fl+dqcZPpQ1gGMv5a+OjpUiNtpyqnBYjRVJEgNM61jgTawnKZDJhwYIF2LlzJ2QyGVauXImtW7ciKSnJdp/c3Fx88MEHePvtt3H27Fls2bIFn3322YDP64wExTAMqhp1OFPZZPs4f60Z7Z2nWCpCfTE9MQzTE0Nx46gwxIb4uuXwmC3NWgOu1rUiPTaIlxWJhJDeapv1OHy1HheqW3D+WjMu1rRA22HplO4tFiIx3B8yqQ9kUm/IpD6IlPpA3vl1sK8E/t6Wg0W9xUKX/T1kbVW5oKAA8fHxUCgsJ2dmZWUhJyenW4LKycnBHXfcAYFAgIyMDLS0tKCurg6Rkc7ZQ9OXHy7X4cndZ23Tdd5iIdJigvCLG+ORoQjGDfEhdBT1IIL8vDAlwbM3CBLiaeRBPlg1RYFVnV+bzAxKVRpcqG7GuapmlDVoUdeqx+XaFtS3tsPcz9BFLBTATyJCgLcYYQHeeH1NBkZFsHPeHGsJSqlUQi6/flicTCZDQUHBgPeRy+VQKpWsJqgQfwnmj5djfFQgJsWFYKw8kKaoCCEjjkhoOScsKTKg195Fk5mBqq0dyhY9apv1aNEboWk3oq3d8l/L5yYwYFhrOA2wmKD6mjnsOSy05z7OlqEIRoYimNXXIIQQdyYSCjqn+3wwgcODAVgbOsjlctTWXj/Pp6+RUc/71NbWsjp6IoQQ4j5YS1Dp6ekoKytDZWUlOjo6kJ2djblz53a7z9y5c7Fnzx4wDIMzZ84gMDCQEhQhhBAALE7xicVibNq0CevWrYPJZMKKFSuQnJyMXbt2AQDWrl2LzMxM5ObmYv78+fD19cVLL73EVjiEEELcDG3UJYQQwktUvkYIIYSXKEERQgjhJUpQhBBCeMnt1qCmT5+OmBjnHYhHCCGEWyEhIXj33Xd73e52CYoQQsjIQFN8hBBCeIkSFCGEEF6iBEUIIYSXKEERQgjhJUpQhBBCeIkSFCGEEF6iBEUIIYSXKEERQgjhJUpQxK19/vnnXIfgVvLz87Fz504cOXKE61BsNBoN1yG4naamJq5DcIkRnaDWrVvHdQi8lpeXZ/u8tbUVzzzzDJYsWYI//OEPUKlUHEZ23RtvvMF1CLy2cuVK2+effvopXnjhBWg0Gmzbtg07duzgMLLrsrKyuA6B17Zv3277vKioCAsWLMDy5csxd+5cnD17lpOYVCoVLly4gIsXL7L6t4C1Awv54sKFC33ezjAMLl++7OJo3Mtrr72G2bNnAwBefvllRERE4F//+he+++47bNq0qdsvDpuWLFnS7/f4kij5ymg02j7/5JNPsHPnToSGhuLBBx/E6tWrsX79epfEsXPnzj5vZxgGWq3WJTG4q++++w6/+c1vAACvvvoqnnnmGWRmZqKgoAAvvfQSPv74Y5fFcunSJTz//PNobW2FTCYDANTW1kIqleL5559HamqqU1/P4xPUypUrMXXqVPTVcrClpYWDiNzT+fPnsXfvXgDAAw88gC+//NJlr93Q0IB3330XUqm02+0Mw2DNmjUui8Mdmc1mNDc3w2w2g2EYhIaGAgD8/PwgEolcFsfWrVvx0EMPQSzu/SfHbDa7LA53V1dXh8zMTADAhAkToNfrXfr6Tz31FDZv3oyJEyd2u/3MmTN4+umn8dVXXzn19Tw+QY0ePRqbN29GQkJCr+9Z/6FJ3xoaGrBz504wDIO2tjYwDAOBQADAtX9U5syZA41Gg3HjxvX63vTp010Whztqa2vD8uXLbf929fX1iIiIgEaj6fNNG1tSU1Mxb948pKWl9freZ5995rI43FFlZSUeeeQRAJbRik6ng6+vL4DuI2RX0Ol0vZITAGRkZECn0zn99Ty+m/n+/fsxZswYjBo1qtf3Dh48iHnz5nEQlXvYtm1bt6/vvvtuhIaGor6+Hn/729/w6quvchQZGS6dTgeVSgWFQuGS1yspKUFwcLBtBNeVSqVCeHi4S+JwRydOnOj2dWpqKvz9/aFSqXDgwAHcc889LovlxRdfREVFBe644w7I5XIAlqS5Z88exMbGYtOmTU59PY9PUMRzqFQqKJVKCAQCREZG0h+1IaBrR5wlNzcXOTk5qKurA8MwkMlkuPXWW1mZkRoRCaq4uNh2QQEgMjISt956K0aPHs1xZPzHh2t38eJF/PnPf3bZwqwncYdr98knn2D16tVch+GWPP3aefwa1I4dO5CdnY2srCykp6cDAJRKJTZu3IisrCyXVTG5I75cu6efftqlC7OexB2u3Qh4j8waPl07NpKlxyeozz//HPv27YOXl1e32x944AHcfvvtlKAGwJdr5+qFWU/Cp2vX32icKjEH5w7Xjo1k6fEJSiAQoK6uDjExMd1ur6+vt1Wkkb7x5drNnj0b69ev73NhdtasWS6Lwx3x5drxZTTujtzl2vV8I+sMHr8GlZeXhxdeeAHx8fGIiooCAFRXV6OiogJ/+tOfbBtRSW98unauXJj1NHy4dgsWLOhzNN7R0YHbb78d3377rcticTfucu3mzJmDQ4cOOfU5PX4ENXv2bBw4cAAFBQVQKpVgGAZyuRzp6eku3ajojvh07TIzMykZOYgP144vo3F3xKdr5+quLh6foABAKBQiNjYWXl5etjJbSk724fu18/QqJja58to988wzeOCBB/odjZP+8enaubqri8cnqK69o+RyORiG4V2ZLV+5w7Xz8BlqVrny2vFpNO5u+HTtXN3VxePXoJYtW9Zvme2mTZt4UWbLV3y6dnzYj+Wu6NoRd+Xxx23wqczW3fDl2u3YsQMbN24EAKSnp9sqmTZu3MibIyP4iq4dcWceP4Jyde8oT8KXa+cuVUx8RNeOuDOPX4N67rnn+iyzveeeezivbOI7vlw7PlUxuRu6dsSdefwIirg/Pu3Hcjd07Yg7G9EJikqUHefqa2c2m3lRxeSO6NoRd+XxU3wDGcG5edhcfe2EQiEyMjJc+pqegq4dcVcjYgRFZbaOo2tHCOGKx5eZU5mt4+jaEUK45PEjKCqzdRxdO0IIlzx+BGUts+2JymwHR9eOEMIljy+S4FOjRXdD144QwiWPn+IDqMx2OOjaEUK4MiISFCGEEPfj8WtQhBBC3BMlKEIIIbxECYoQFxs3bhyWLVuGpUuX4s4778SpU6cAAFVVVRg7diz++c9/2u6rVquRmpqKzZs3AwBKSkpw7733YtmyZVi0aBEVqxCP5vFVfITwjY+PD/bu3QsAOHz4MLZu3YoPP/wQAKBQKHDo0CFs2LABALB//34kJSXZHrtlyxbcf//9mDdvHgDgypUrrg2eEBeiERQhHGpra4NUKrV97ePjg9GjR+PcuXMAgG+++QaLFi2yfb+urs52NhcAjB071nXBEuJiNIIixMX0ej2WLVuG9vZ21NfX47333uv2/cWLF+Prr79GREQEhEIhIiMjbRumH3jgAdx///2YNGkSZs6cieXLl3dLcIR4EhpBEeJi1im+/fv345133sEf//jHbt3hZ82ahaNHj2Lfvn1YvHhxt8euWLECX3/9NRYuXIjjx4/jrrvuQkdHh6t/BEJcghIUIRyaNGkSGhsboVarbbdJJBKkpqZi586duO2223o9RiaTYeXKlXjrrbcgFotRWFjoypAJcRlKUIRwqLi4GCaTCcHBwd1uf/DBB/HEE08gJCSk2+15eXkwGAwALD0Rm5qaIJPJXBUuIS5Fa1CEuJh1DQqwHPz4yiuv9GodlZycjOTk5F6PPXr0KLZs2QJvb28AwJNPPomIiAj2gyaEA9TqiBBCCC/RFB8hhBBeogRFCCGElyhBEUII4SVKUIQQQniJEhQhhBBeogRFCCGElyhBEUII4aX/DzoUEoz6siC3AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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htnS6tA4AdxUkrkU1+YizMCtA1dfXD/jCvW1N3dcOo8eOHcO2bdvw17/+dcDnEmJrp0vrEejnYfEK5n0Jl0tQXKuFrsNglfsRYitmBag//OEPePLJJ3HgwIFeg0dvlEqlacgO6OwVyeXyHsfl5eXhxRdfxIYNG+Dr6zugcwnhg9Ml9RgX6Gu1+0UoJNAbWKhqNFa7JyG2YFaA2rt3L1JSUrBz504kJCTgnXfeQVFRUb/nxMTEQKVSobS0FDqdDhkZGYiPj+92THl5OZ544gm8/fbbCAkJGdC5hPBBZWMryhtaMXakt9XuGSajTD7iHETmHMQwDKZNm4Zp06bh2LFjePbZZ7F582ZERUXhmWeewfjx43teWCTCmjVrsGzZMuj1esydOxcRERFIS0sDACxcuBAffvgh6uvr8eqrrwIAhEIhduzY0ee5hPCNsYL5eI4X6HYVJpOAYdBZky/GarclxOoY1owxu7q6OuzatQs7d+5EQEAA5s2bh/j4eJw/fx6rVq3CTz/9ZI22XldycjJ27Nhh62YQJ/L2njxszCpE7qszOSsS25vpb/2E8UG+eH9hzw+HhDgKs3pQCxYswH333YcNGzZ0y66LiYnBggULOGscIXx3upTbCuZ9iZBTJh9xfGbNQa1atQorV67sFpy+//57AMDy5cu5aRkhPGcwsMi53GC19PKuwuUSFFY1Q28wL2mJEHtkVoD65JNPerxG5YeIsyuoakZzW4dVFuheK1wuQVuHAZfrtFa/NyHW0u8Q34EDB5CVlQW1Wo3XXnvN9HpzczOEQusOaRDCN6c43uK9P11r8gVzXKCWEFvpN0ApFAqMGTMGP/30E6Kjo02vi8VirF69mvPGEcJnp0vrIXUXITTA+gEiXCYF0Bmg7rhBYfX7E2IN/QaoqKgoREVFYdasWXBxcbFWmwixC50LdLmvYN4bb08XyKRulChBHJpZWXw5OTn44IMPUF5ejo6ODrAsC4ZhqIArcVotOj0uqJvwpxvCbNaGcJkElyhAEQdmVoB64YUXsHr1aowZMwYCAe1xSEhueQP0BpbzLd77Ey6XIP1UmekDIyGOxqwAJZVKERcXx3VbCLEbvxZfrWBuxQoS14pQSNDU1oHKpjYovNxt1g5CuGJWgJo6dSreeust3HXXXXB1dTW93jVxghBnckJVh1CZGAFWqmDem/AuNfkoQBFHZFaAOnPmDAAgNzfX9BrDMPjf//7HTasI4TGDgcXJ4lrcdaPy+gdzyJhqfkndhGnhATZtCyFcMCtAff7551y3gxC7UVDVjDptOyaNst4WG72RSd0gdRehoIq23SCOqd8AtXPnTsyePRupqam9vr9kyRJOGkUIn51Qdc4/TR7lZ9N2MAyDMJkEhdWUyUccU78BqqWlBQCg0dAnNEKMslW1CJC4Idjf09ZNQahMjCP5NbZuBiGc6DdAGSuV//nPf7ZKYwixByeKazF5lC8vUrvDZBLs+LUMzW0dkLiZNWJPiN0w6290W1sbtm3bhkuXLqGtrc30+htvvMFZwwjho4qGVpTWtuDhW0Ouf7AVhMk6yywVVWkQY8VdfQmxBrNW3T777LOoqqrCoUOHMGXKFKjVaojFVKCSOJ/s4loAwGQbJ0gYGbd/p3ko4ojMClAlJSV46qmn4OHhgTlz5uA///kPLl68yHXbCOGdbFUdPF2FuHGYl62bAgAI8veEgAEKqOQRcUBmBSiRqHMk0MvLCxcvXkRTUxPKyso4bRghfHRCVYvxQT4QCflR8stNJESQnyelmhOHZNYcVEpKChoaGvDUU09hxYoV0Gq1WLVqFddtI4RXmlrbcf5KI56Ij7B1U7oJlUlQUEU9KOJ4zPoYePPNN8Pb2xuTJ09GZmYmjh49imnTpl33vKysLMycORMJCQm97sBbUFCAlJQUjBkzBp999lm39+Lj45GUlITZs2cjOTnZzB+HEO6cKqmHgbX9+qdrhcnEKKrWwEDbvxMHY1aAevLJJ3u8dr0elF6vx9q1a/Hpp58iIyMDu3fvRn5+frdjfHx88MILL2Dp0qW9XmPTpk3YuXMnduzYYU4zCeHUCVUthALGpgViexMq69z+vay+xdZNIcSi+h3iKygoQH5+PpqamvDDDz+YXm9ubu6Wbt6bnJwcBAcHIzAwEACQmJiIzMxMhIeHm47x9/eHv78/Dhw4MJSfgRCrOKGqxY3DvHi33siYyVdQ1YxAP+svHv75QiWKa7R46NZRVr83cWz9/qYVFRXh559/RlNTE/bv3296XSwWY926df1eWK1WQ6n8vZimQqFATk7OgBq3dOlSMAyDlJQUpKSkDOhcQixJ12HA6dJ6LJwSZOum9BB6dS1UYZUGM0Zb997tegOe3/Eb6lva8eDNwTbZXZg4rn4D1J133onbb78dn3zyCR5//PEBXZhle46HD2TlfVpaGhQKBWpqarBkyRKEhoZi8uTJA2oDIZZytrwBre0GTOHZ/BMA+Itd4e3hYpNEiYycKyhvaAUAXGlsxQgfD6u3gTiu685BCYVCHD58eMAXViqVqKioMH2vVqshl8vNPl+hUADoHAZMSEgYcO+LEEvKvlogdiJPFuh21Vk0VoxCK6easyyL/2QVwsNFCKBz2w9CLMmsJIkJEyZg7dq1yM7OxtmzZ03/9ScmJgYqlQqlpaXQ6XTIyMhAfHy8WY3SarVobm42fX348GFERPArtZc4lxOqWozy94Rcys+NAW2Ran4ovxrnrzTiqTs7fzfzabEwsTCzZnt//fVXAMB7771neu16GxaKRCKsWbMGy5Ytg16vx9y5cxEREYG0tDQAwMKFC1FVVYW5c+eiubkZAoEAmzZtwnfffYe6ujqsXLkSQGc24KxZsxAbGzvoH5KQoWBZFtnFdYiPMn8EwNrCZBJsO3kZTa3tkLq7WOWe/zlQCLnUDQ9PG4VPDhbikpoCFLEsTjcsjIuLQ1xcXLfXFi5caPpaJpMhKyurx3kSiQS7du0a1D0JsbTCag1qNTre1N/rTddEibGBPpzfL7esAYfyq/G3u0fDTSREuFyCS5U0xEcsy6whvurqajz//PNYtmwZACA/Px9bt27ltGGE8EW2qrNA7CQeJkgYdU01t4ZPDhZC7CrEoqnBAIAIuRSXKpt7TY4iZLDMClDPPfccpk+fjsrKSgDAqFGj+h3eI8SRnFDVwU/sitAA/lbwD/LzhFDAWCVR4nKdFrtzrmDhlCB4e3QOJ0YoJGhq7UBlU//rIwkZCLMCVF1dHe69914IBJ2Hi0Qi09eEOLpsVS0mBfNjg8K+uIoECPbztEoP6r+HVGAAPDL99z2xwq/24GgeiliSWVHG09MTdXV1pl/Q06dPQyqVctowQvigsqkVqhot7+rv9SbUCqnmDdp2bDlRgqSxwzG8y5qncEVngMqneShiQWYlSTz33HNYsWIFSkpKsGDBAtTV1XXL6CPEURnXP03icYKEUZhMgqxL1dAbWAg5qujwxS/F0Or0ePS20G6vyyRu8PZwwSVKNScWZFaAio6OxhdffIGioiKwLIuQkBC4uFgnlZUQWzqhqoW7iwDRw/m/nXqoTAxdhwFldS0I8rd8Tb7Wdj1SD6sQGynDjcO7b9jIMAwi5BIKUMSizBri+/LLL6HVahEREYHIyEhotVp8+eWXXLeNEJvLVtVhXKAPXEX8n3PlOpMv/VQZqpvb8FhsaK/vRygktFiXWJRZv3Vff/01vLx+/8Tk7e1NaebE4TW1tuPclUa7mH8COqtJANwEKIOBxcaDhYge7oVbw/x7PSZcLkWtRoeaZsrkI5ZhVoAyGAzd1jfo9Xq0t7dz1ihC+OCEqhZ6A4tbQnv/B5lv/MSu8PV04WT792NFNSis0mB5bGif2YwR8quZfNSLIhZi1hzU9OnTsWrVKlMViC1btuC2227jtGGE2NqR/Bq4igSYEMz/BAmjUJkEhRz0oM5f6czOmx4e0Ocx4V0C1M12EtQJv5kVoJ599lls2bIFaWlpYFkW06ZNw/z587luGyE2daSgBhODfOF+tVq3PQiTifFTXpXFr1tU3QwvdxH8xK59HjPM2x1iVyEKqAdFLMSsACUQCPDAAw/ggQce4Lo9hPBCrUaHc1ca8de7Im3dlAEJlUnwdfZlNLS0m6o8WEJRtQYhMkm/i5UZhkG4Qko1+YjFmBWgTp48iQ8++ADl5eXo6OgAy7JgGAaZmZlct48QmzhWWAMAuCWs7yEtPjJm8hVWNWN8kOWGJgurNGbNxUXIJci6aPkeHHFOZgWoF154AatXr8aYMWOoxBFxCkcKqiF2FeKmkfxf/9SVsap5QZXGYgFKq+vAlYZWhJhRizBC3rntR4O2Hd6etFaSDI1ZAUoqlfbYNoMQR3akoAZTQvzgIrSvD2RBfp4QCRiLJkqoqrUAgBCZGQHKWPKoqgkTg+0jPZ/wl1kBaurUqXjrrbdw1113wdX190nS6OhozhpGiK1UNLSisEqDB6YE2bopA+YiFCDY37JFYwurO68VGiC57rHhss4anZfUzRSgyJCZFaDOnDkDAKZt3o1zULTlBnFERwqqAQC39LEgle86U80ttxaq6Oq1RgVcv3zSCF8PuLsIaC0UsYh+A1RqaioA4PbbbwfQmaXj6+uLiRMnIjAwkPvWEWIDRwpq4OPpghuUXtc/mIfCZBL8fKESHXoDRBYYoiyq1mCYtzs8Xa//eVYoYBAmo5p8xDL6/dur0Wig0Wig1Wqh1Wqh0WiQm5uLRx99FBkZGdZqIyFWw7IsjhbU4JZQfwg4qgjOtVCZGO16FpfrWixyvYJqjSn5whwRcgmthSIW0e9Hoj//+c+9vl5fX48lS5YgMTGRk0YRYivFNVqU1bfg8bjeC6Lag65FY0cNcRdglmVRVNWM+8YNN/ucCIUU6afL0dzWAYmbWbMIhPRqUP1/Hx+fbrX5CHEURwo61z/d2k9JH74Lu9rbscQ8VK1Gh8bWDoSYkSBhZCx5RL0oMlSDClBHjx7tVt28L1lZWZg5cyYSEhKwcePGHu8XFBQgJSUFY8aMwWeffTagcwnhwpGCaii83BA6xJ6HLfl4usJf7GqRTL7C6s4gN9AhPoCKxpKh67f/nZSU1OO1hoYGyOVyvPXWW/1eWK/XY+3atUhNTYVCocC8efMQHx+P8PBw0zE+Pj544YUXelSkMOdcQizNYOicf4qNlPVb0sceWGr7d2MG30ACdpCfJ1yFAip5RIas3wD18ccfd/ueYRj4+PjA0/P66aY5OTkIDg42ZfslJiYiMzOzW5Dx9/eHv78/Dhw4MOBzCbG0i5VNqNHo7Da9vKswmQT7zqmHfJ2C6ma4CBmM8PEw+xyRUICQADHy1dSDIkPTb4AaMWLEoC+sVquhVCpN3ysUCuTk5HB+LiGDdST/6vyTAwSoUJkYNRod6rU6+Hj2XYH8eoqqNAj2Fw84XT1cIcFvlxsGfV9CgEHOQZmjtyQKc4dNhnIuIYN1pKAGwf6eGOl7/RECvvs9k29ow3xF1RqzavBdK0IuQWmdFq3t+iHdfyCqaSdfh8NZgFIqlaioqDB9r1arIZfLOT+XkMHo0BvwS2GNQ/SeAJiCSlH14AOU3sCiuEY7qISRCLkULMvN9vO9eXffRUx67UdTFRDiGDgLUDExMVCpVCgtLYVOp0NGRgbi4+M5P5eQwcgtb0RTW4fdba/Rl0ALFI0tq2uBTm8YUAafkalorBUy+f57qAjvZV4CAHx9opTz+xHr4WwVnUgkwpo1a7Bs2TLo9XrMnTsXERERSEtLAwAsXLgQVVVVmDt3LpqbmyEQCLBp0yZ89913kEgkvZ5LCFdM9fccZKtyF6EAQX6eQ+pBGYvEDmQNlNEofzGEAgaXOE6U2H7yMtbuPoe7o5Xw9nDBrjPl0LR1QEwLhB0Cp3+KcXFxPbbpWLhwoelrmUyGrKwss88lhCtHC2owWiGFTOpm66ZYzFBTzY3nDqYH5SrqrKrOZar5D2cr8LftOZgW7o/3Fo5DzuUGfJVdir1nK5A8YSRn9yXWY1+b3RDCgbYOPU6oah0ivbyrkAAximo0MBgGV/WlqFoDqbsI/uLBZQFGyLkrGnskvxp/3nwKMSO8sfHBSXATCTEp2BcjfT3wzakyTu5JrI8CFHF6p0rq0dpucJgECaOQAAl0HQaUNwyuaGxRtQahAeJBZ9BGyKUortGircOymXxnSuvx6P+yMSrAE6kPTzYN5zEMgznjR+BwfjXUja0WvSexDQpQxOkdKaiBgAGmOsj8k1HoEGvyFVY1I1Q28PknowiFBHoDa9qR1xIuqZvwcOpx+Elc8fnSqfC9pnd3//gRMLDArtPlFrsnsR0KUMTpHbpUhZgR3vD2cLF1UywqdAip5i06PcobWge1BsrIWDTWUpl8LMti+ecnIRIK8MXSqVB4ufc4JkwmwdiR3jTM5yAoQBGnVqfR4XRpPeJGO946O5nUDRI30aBSzVU1nUFtKAEqTCYBwwAX1ZZJlCip1aKoWoNVd0Qg2L/vds0ZPwLnrjTiQgXVArR3FKCIU8u6VAUDC8wYLbN1UyyOYRiEBIhNFckHYigZfEbuLkIE+3laLECdUNUBAKaE+PV7XNLY4RAKGOw4ddki9yW2QwGKOLUDF6rg6+mCsSN9bN0UTgw21bzo6hqoUf30VMwRpfRCnoV6MtmqWnh7uCD8OvNi/hI3xEXKsPNU+aAzGAk/UIAiTstgYHHgYhViI2UQ2un27tcTEiBGeUPLgGviFVZroPRyH/KC19FKKVQ1GrTohp7Jd0JVi0nBvhCY8Wc1Z/wIVDS24lhhzZDvS2yHAhRxWr+VNaBGo8PtDjj/ZBQqk4Blf59TMldhlWZIw3tGNwzrrMk31GG+muY2FFRpMGlU/8N7Rgk3KiBxE1GyhJ2jAEWc1v4LlWAYIDbS8eafjEyZfAMY5mNZFoVVzUNKkDCKUnbuvJ1X0Tik65ws7px/mjTK16zj3V2EuGeMEt/nVlik90ZsgwIUcVo/X6jC2JE+8BtkpQR7YAwyA0mUqNXo0NjaYZEAFeTnCQ8X4ZDnobKL6+AqFCBmhLfZ58yZMALNbR3Yd37oGzcS26AARZxSTXMbzlyud8jsva7EbiIovNwGlChhXDcVNoRFukYCAYNIpRR5V4YYoFS1uGmkN9xdhGafc3OIP4Z5uyOdhvnsFgUo4pQOXqoGy8Kh55+MQgLEpqw8cxh7W5boQQFAlEKKvIrGXjciNUdrux6/lTWYPf9kJBAwmD1uBA5crKLNDO0UBSjilPZfqIS/2HVAQ0b2KlQmGdAQX2GVBi5CBiN9PSxy/6hhUtRp21HVNLggcaa0Hu16FpPNnH/qas74EdAbWOw+Q6WP7BEFKOJ09AYWWRerEBcpMytl2d6FBohRr21HnUZn1vFF1c0I8vOESGiZfx6MiRLnBzkPlX01QWJi8MAD1GilFDcO88L2X8sG3YMjtkMBijidM5frUadtR5yDzz8ZmYrGmjnMV1StGdQmhX2JUkoBABcGmcl3QlWLSIUEPp6DS2ZZOCUQv5U14Fhh7aDOJ7ZDAYo4nZ8vVEHAALERzhGgjMHGnEQJvYGFqkZrkTVQRr5iVyi83AaVKKE3sDhZXDfg+aeu5k8KhEzqhg/35w/6GsQ2KEARp/PzhUqMC/TpsVWDowr09YBIwJg1D1Ve3wJdh8G0fspSBlvy6KK6CU2tHYOafzJydxFi+W2hOJRfjV9L6gZ9HWJ9FKCIU6lqakPO5QanyN4zEgkFCPL3NGuxrqUz+IyilFLkVzajXW8Y0HnZqs5huUnBg+9BAcADU4Pg4+mCD3+iXpQ9oQBFnErWxSoAwAwnClAAEBogMWtfKOPWHCEWHOIDOjP5dHrDgPemOqGqg8LLbcgZhWI3EZZOC0FmXiXOljcM6VrEeihAEafy88UqBEjcED3cy9ZNsapQmRhFNRror1Pdu6haA6mbCDKJm0XvP1phLHk0sGG+bFUtJo3yG/S2810tvnUUpG4ibNhfMORrEevgNEBlZWVh5syZSEhIwMaNG3u8z7IsXnvtNSQkJCApKQlnz541vRcfH4+kpCTMnj0bycnJXDaTOIkOvcGp0su7Cg0QQ9dhQHl9S7/HFVVrECITWyQgdBUmF0MkYJB3xfxMvrL6FpQ3tGLyINLLe+Pt4YKHbh2F73KvIL+SNjO0B5wFKL1ej7Vr1+LTTz9FRkYGdu/ejfz87uO/WVlZUKlU+OGHH7Bu3Tq88sor3d7ftGkTdu7ciR07dnDVTIc30G0WHNmZy/VoaGnH7VHOkb3Xlbk1+QqrNBaffwIAN5EQYTLJgHa5Nc0/DSGD71qPTA+Bu0hIvSg7wVmAysnJQXBwMAIDA+Hq6orExERkZmZ2OyYzMxP3338/GIbBuHHj0NjYiMrKSq6a5FR0HQa8s+8iYl7Zize+O0+LFAHsz+tML78t3AkDlMxY1bzvtVD5lU0oq2/hrLrGaKV0QEN82ao6SNxEpnVUluAndsWiqUHYeaYcJTVai12XcGNou5H1Q61WQ6lUmr5XKBTIycnp9xilUgm1Wg25vHMCe+nSpWAYBikpKUhJSeGqqQ7nTGk9/rYtBxfUTYhSSvGfrEK4uQjxdEKkrZvWQ1VTG4prNKjXtqOhpR31Le1o0OrQ0NIOdxchnp052mIVDX6+WImJwb7w9nSxyPXsiUziBqmbqN8e1Je/lMBFyOD+8SM4aUPUMCl2nSlHQ0s7vD2u/2dwQlWL8UE+FvvzN3o0NhT/O1aMjw4U4I3kGItem1gWZwGqt0/s145r93dMWloaFAoFampqsGTJEoSGhmLy5MncNNZBtLbr8e6+i/jkYCHkUnf89+FJmBEpx+odv+HfmZfg7iLAn2aE27qZJqpqDe557yBarhmGZBhA7CpCc1sHxgf54u4xyj6uYL7KplbkljXi2Zmjh3wte8QwDEJk4j6z6Frb9dh+8jJmRisRYOEECSNjT+iiugmTrzNs19DSjgvqJtwbM8zi7VB4uSNlUiC2nCjBk3eEY5i3ZWoOEsvjLEAplUpUVFSYvu/aM+rrmIqKCtMxCoUCAODv74+EhATk5ORQgOrHCVUt/rYtB0XVGiycEojV994AL/fOT6mvJ8egtUOPt/dcgLtIiEemh9i4tZ3+nXkJLFh8ungSZFI3+Hi6wMfDFRJ3EViWxfS39mPz8RKLBKif8zrTy+MceHPC6wkNEOOEqveFqhk5V9DY2oEHpgZxdn/T5oVXGq8boH4tqQPLmr9B4UA9FheKtOMl+M+BQrxyXzQn9yBDx9kcVExMDFQqFUpLS6HT6ZCRkYH4+Phux8THxyM9PR0sy+L06dOQSqWQy+XQarVobu4cK9dqtTh8+DAiIiK4aqpda9cb8Nruc/jDf46iXW/Al8um4o3km0zBCQCEAgb/nD8Wd0crsXb3OWz+pcSGLe6UX9mM9NNlWHzLKNx5owJjA30Q7C+Gt6cLhAIGIqEAKZMDcfBSFUprhz5XsPdsBUb4eDhdenlXIQESlNW39Jo4s/l4CUIDxLgl1J+z+w/zdoeXu8iseahsVS1EAgbjAn04actIX0/MGT8CW06UDLrKOuEeZwFKJBJhzZo1WLZsGe69917cc889iIiIQFpaGtLS0gAAcXFxCAwMREJCAl566SW8/PLLAICamho88MADuO+++zB//nzExcUhNjaWq6barermNvzx01/w6aEi/HFqMPY+FYtp4QG9HisSCvDvheNx+2gZXkj/DdtPXrZya7t7L/MS3F2EeCw2tM9jFkwJBANgy4mhBdTmtg4cvFSNmdFKi6dP2xNjfb1rh/nyKhpxsrgOC6cEcfp8GIYxu+TRCVUdood7wdOVs0EerJgRBl2HgWr08Rh3f/roDEBxcXHdXlu4cKHpa4ZhTEGpq8DAQOzatYvLptm9nMv1ePzzk6jR6PCvlHFmTWy7igT46I8T8cj/O4Fnt52Bu4sQiTdZfoz/ei5UNGF3TjlWxIXBv5/5jmHeHoiPkuPr7Mt46s5IuAxysnx/XiV0eoNFhgrtmTF9vKhagxuG/d6T3PxLCVxFAsydOJLzNkQNk2LH1a0v+gqGbR16nCmtxx9vDua0LaEyCRZNDcamoyrcPUaJmznsPZLBoUoSdmjbycuY9/FRMAyD7StuHVDWlbuLEJ8snoQJQb5YteUUjhRUc9jS3v3rx4uQuIqwvJ/ek9HCKUGoamrDj+fUg77fnrMVCJC4Dmo/IUfSNUAZaXUd+ObXMtw7Rgk/KxTPjVJ6obmtA5fr+l4wnFvWiLYOw5AKxJpr9b1RCPLzxF+3nkFzWwfn9yMDQwHKjrTrDXhl11n8desZTAr2xbdPTMeYQaxZEbuJ8NnDkzEqQIwVX/xqqr9mDWfLG/B9bgUemR5i1v4+M0bLMdzbHZuPD26Yr7Vdj5/zKpFwoxJCJ6secS2xmwhKL3cUdPnz3n3mCpraOvDAVG57K0ajr2by9TfMZ1ygO3GIBWLN4ekqwj/nj0VZfQvWZ5zj/H5kYChA2YnKplYs+vQX/L8jKiydHoL/PTJlSJ94vT1c8N+HJkMoYLB0UzbqtebttjpU7+67CC93kdmZhEIBg5TJQTh4qRrFNQMrNAoAh/OrodHpnX54zyj0mlTzL4+XIEIusUpvBfg9QPW1eWFTazs2HVHhxmFekEm5SXe/1qRRflgeG4q046XYn0eFAviEApQd+OFsBe7+10GcKa3Hv1LG4aVZN1pk8WKQvyc2PjgRZXUtePyLk9B1DGwrhIE6U1qPH89XYnlsqFkLNY1SJgdCKGCw5UTpgO+5J7cCUncRp9lp9iQkQIzCKg1YlkVuWQPOlNbjgancJkd0JXETIdDPo8/t39/4Pg9XGlux7v4xVmmP0dMJkRitkOLv23Os9mGNXB8FKB7TtHXg79tysPzzk1B6uWP3E9Mtvsp/0ig/vDUvBscKa/Fi+m+clkR6Z99F+Hq64OFpA1uHpfR2R3yUHFuzSwcURDv0Buw7r8YdUXK4iuivOtAZoBpa2lGnbcfm4yVwEwmQPJ775IiuopRevRaNPZJfjc2/lGDptBCrzxe6iYT45x/Golajw0s7z17/BGIV9FvLUyeL63Dvvw/i65OlWDEjDOkrpyFCYbmaZF3NGT8ST8SH4+vsy/jkYCEn9zhZXIsDF6vwWFwYJG4DTx59YGoQqpt12DeAZInjRbWo17bT8F4XYbLO7d9/K2vAzlNlmHXTcKuXfrpBKUVRtabbeixNWwf+tj0HIQFiPHOXbap9jBnhjVV3RODbM+XYnVNukzaQ7ihA8Uy73oB3friA+R8fQYeexVfLb8Hf747ivAfwlzsjkXjTMLzxfR72nq24/gkD9M6+iwiQuGLxLYObjI+NkGGEjwc2Hy82+5w9Zyvg7iJArBNXj7iWMZPvvR8vQqPTY9HN3FWO6MtopRcMbOdibaO39+ShrL4Fb8+7CR6uQqu3yWjFjDCMDfTBS+m5qGxqtVk7SCcKUDxyrrwRcz86gn//lI8540diz1O3YUoI95lMACC4Wm3ippE+eGrLaeSWWW7X0WOFNTicX4MVM8IHvfBSKGCwYHIgDufXQGXGrqwGA4u9ZysQFynjdLGnvRnp6wEXIYNfS+oRpZRiPEeVGvoTNax7Jt8vhTXYdLQYD90y6rolkLgmEgrwz/ljodXpsXo7t0Pe5PooQPFAc1sH1n57DrPeP4iyuhZsWDQB//zDWEjdrTv00rlGaiJ8PV3w2Ocn0aBtH/I1WZbFP/ZegMLLDYuGWOftD1eTJdLMSDk/fbke6sY2Gt67hkgoQJCfJwBgkRWTI7oa5S+Gm0iAvCuNaNHp8bftOQjy88Tf7uZHId9wuQR/vzsKmXmVeGvPBQpSNkQByoZYlkVGzhXc8c+fkXqkCAumBOGnZ2ZwUsHZXHKpOz7640RUNrXi2W1nhvzL+W3OFZwsrsPTCZFwdxna0I3Cyx133iDH1pOX0dbR/0aMe3MrIBIwiI9SDOmejihMJoGHixCzOdpW43qEAgaRis69of7vhwsortHirbk38aqn+/Cto/DHm4Pw8YECrM+g/dRshQKUjaiqNXgo9QRWbv4V/mI37FhxK16fE8OLvYrGBvrg73dH4Ydzamw6ohr0dVp0erzx3XmMGeGF+RMDLdK2B6YGo1ajww9n+06WYNnO4b1bwwMGlM7uLP5292h89tCkbgWFrS1KKUV2cS3+e7gID94cjFvC+LUMQCBgsG72GDx86yh8eqgIr+w6S0HKBvjzkcVJNLd1YOOBAnycVQhXoQAvJ92IB28OtvimbEO1dHoIjhbU4PXv8jAx2A8xIwdeseLjAwW40tCKfy8cD4GFqjjcFh6Akb4eeC/zEiaP8oPS273HMRfUTVDVaLE8Nswi93Q04XIpwuXcZISaa7RSiq0nDRjh44Hn7omyaVv6wjAMXk66ES5CBp8cLEK7gcVrs8dY7O8yuT5+/avowNo69Eg9XIS4t/fj3z/lY2a0EpnPxGHJtBDeBSeg85fz/+aPRYDEFX9O+xVNrQObjyqrb8HHBwqQNHa4RSe+BQIGbybfhCv1LZiz4TDOlfdcT7MntwIMAyTcSMN7fDU1xB9uIgHenncTxINYdmAtDMPg+XtvwJ9mhGHzLyX4+/Yc6A3Uk7IW/v3L6GAMBhbpp8pwxz8P4NVvzyFSIUX6yml4f+F4KLx6fvrnE1+xK/69cDwu17XguR0Dy2h647vzYBhw8ul4ekQAtj5+K1gWmP/xEey/0L08zZ7cCkwK9rVaqRwycDEjvXH21Zl9bg/DJwzD4NmZo7HqjghsPXkZz3x9Gh16bquukE4UoDjCsiz2X6hE4vuH8NRXp+Hl7oJNj0zB5kencrYJGxcmjfLDM3dFIiPnCtKOm1dq6HhRLXbnXMHjcWEY4cPNdto3DvdC+sppGBUgxrJN2fj8WOf6KFW1BnkVTZgZTdl7fMfHkYO+MAyDvyRE4q93RSL9dDlWbv4VtRoqicQ1/vat7ZTBwOLH82p8dKAAp0rqEeTnifcWjEPSTcPtduz68dgwHCusxavfnsX4IJ9uewldS29g8eq3ZzHc2x2PcTwHpPR2x9eP3YIn0k7hpfRcFFdr4CfpLKBLAYpw4c/xEXB3EeLN7/MQ/8+f8fe7o5AyKdBuf7f5jmEdKDUlOTkZO3bssMm9dR0G7DpTjo8PFCC/shmBfh54LDYMf5gU6BB14Kqb23DvewchcRdhx4pb+9wqY8vxEjy34zf8e+F43Dd2uFXapjewWPvtWWw6WgyRgEHUMCl2P3GbVe5NnNMldRNeTM/FL0W1GBfog9fuHzOorW9I/yhADZFW14Etx0vx6cFClDe0IkopxYoZYUiMGWZXQxjmOFpQg0WfHoObSIj7xw/HH28ORvTw338pG1vbEf9/P2OUvxhbH7/F6otAUw8XYe3uc1h9TxRl8BHOsSyLb06VYX3GedRpdXjo1lF4OiHS6gvsHRkFqEEqqtZg8y/F2HryMuq17Zga4ofHZ4RhRqTMJqvzrSW3rAH/O6rCrjPlaG03YEKQD/54czDujRmGd/ZdxCcHC7Fr5fRBpaVbgrqxFTKJGw25EKtp0LbjHz/k4ctfSiCTuGHFjDAkjR2OAAkl6QwVBagB6NAb8ON5Nb44VoJD+dUQCRjcFa3A0umhTredeIO2Hdt+vYwvjxWjsFoDX08XNLd1IHn8SLw17yZbN48QqztTWo+Xd53F6dJ6CAUMpocHYM74EUi4UcHrVHo+owBlhvL6Fnx1ohRbTpRA3diG4d7uWDglCCmTAyHneao411iWxZGCGnx+tBiXKpuwZfktlN5NnFpeRSPST5Vj1+kylDe0wsNFiLuiFZg9bjgmBvtRdZMB4DRAZWVlYf369TAYDJg/fz6WL1/e7X2WZbF+/XocOHAA7u7uePPNNxEdHW3Wub2xZIBqaGnHntwrSD9VjmNFNQCAuEgZFk0Nxu2jZQ43v0QIsSyDgcUJVS3ST5fju9+uoKGlc7F7oJ8Hxgz3RvRwL0Rf/b+zf9DtC2f9Tr1ej7Vr1yI1NRUKhQLz5s1DfHw8wsPDTcdkZWVBpVLhhx9+wJkzZ/DKK69g69atZp3LhbYOPfbnVWHn6TJk5lVC12FASIAYq+6IQPL4kQjy9+T0/oQQxyEQMJga6o+pof545b4b8UthLX4ra8C58kacLW/A97m/77vm4+kCudQNcqk7ZFI3yKVukF39z9vDBZ6uIni6CuHhKoTYVQQPVyE8XYUQCRiHnvPmLEDl5OQgODgYgYGdRUITExORmZnZLchkZmbi/vvvB8MwGDduHBobG1FZWYmysrLrnmtp2apaPPL/TqCxtQMBElc8MCUI948fgbEjvR36LwAhhHtuIiFiI2XdNs9sbG3H+fJGnC1vRGF1Myob21DV3IaiIg2qmtqgM7NahUjAQCRkIBIIfv+/gIGA6VxgzDCAgOn8XsAwwNV/zoz/qjEM0+Xrvu/z+1FdXmM6N3mcPY6byvicBSi1Wg2l8vfFkgqFAjk5Of0eo1QqoVarzTrX0rw9XJA8YSRmjJZhengADeERQjjl5e5i6mFdi2VZNLZ0oLKpFY2tHdDqOqDV6dGi00Or00Or60CLTo92A4sOvQEdBhYdehYdBgPa9Sz0BgNYFjCwnddiARhY1lRH0DSvwwLs1e/6m+zp6z0WLPzF3M05cxagepvaurYn0tcx5pxraREKKV65L5rTexBCiDkYhoG3pwsvtt+xJc4ClFKpREXF72OsarUacrm832MqKiogl8vR3t5+3XMJIYQ4Ns7GsWJiYqBSqVBaWgqdToeMjAzEx8d3OyY+Ph7p6elgWRanT5+GVCqFXC4361xCCCGOjbMelEgkwpo1a7Bs2TLo9XrMnTsXERERSEtLAwAsXLgQcXFxOHDgABISEuDh4YHXX3+933MJIYQ4D1qoSwghhJcoVY0QQggvUYAihBDCSxSgCCGE8JJDzUFNnToVI0Zws6KZEEIIN3x9ffHZZ5/1eN2hAhQhhBDHQUN8hBBCeIkCFCGEEF6iAEUIIYSXKEARQgjhJQpQhBBCeIkCFCGEEF6iAEUIIYSXKEARQgjhJQpQxKFs377d1k2wG9nZ2UhNTcWhQ4ds3RQAgEajsXUT7Ep9fb2tm8A5ClC9WLZsma2bwFtZWVmmr5uamvD8888jKSkJzzzzDKqrq23Ysk7vv/++rZvAW/PmzTN9/fXXX2PdunXQaDT44IMPsHHjRhu2rFNiYqKtm8BbGzZsMH2dn5+PmTNnIjk5GfHx8Thz5ozV21NdXY2zZ8/i3LlznP7ec7ZhId+dPXu219dZlkVeXp6VW2M/3n33XcTGxgIA3nzzTchkMnz88cfYt28f1qxZ0+0XiStJSUl9vseHIMlXHR0dpq+/+uorpKamws/PD4888ghSUlKwfPlyztuQmpra6+ssy0Kr1XJ+f3u1b98+/OlPfwIAvP3223j++ecRFxeHnJwcvP7669iyZYtV2nH+/Hm8/PLLaGpqgkKhAABUVFTAy8sLL7/8MqKjoy16P6cNUPPmzcPkyZPRWynCxsZGG7TI/uTm5mLnzp0AgIcffhjffPONVe5bU1ODzz77DF5eXt1eZ1kWCxYssEob7JHBYEBDQwMMBgNYloWfnx8AwNPTE0Kh0CpteOedd7B06VKIRD3/6TEYDFZpg72rrKxEXFwcAOCmm25Ca2ur1e793HPPYe3atRg7dmy310+fPo3Vq1dj165dFr2f0waosLAwrF27FqNGjerxnvEPn/RUU1OD1NRUsCyL5uZmsCwLhmEAWO8fmBkzZkCj0eCGG27o8d7UqVOt0gZ71NzcjOTkZNOfWVVVFWQyGTQaTa8f1LgQHR2NO++8E2PGjOnx3tatW63SBntUWlqKxx9/HEBnj6WlpQUeHh4AuveMudbS0tIjOAHAuHHj0NLSYvH7OW018z179iAyMhKhoaE93vvxxx9x55132qBV/PfBBx90+/6BBx6An58fqqqq8I9//ANvv/22jVpGBqulpQXV1dUIDAzk/F6FhYXw8fEx9d66qq6uRkBAAOdtsEfHjx/v9n10dDTEYjGqq6uxd+9eLFq0yCrteO2111BSUoL7778fSqUSQGfATE9Px8iRI7FmzRqL3s9pAxSxf9XV1VCr1WAYBnK5nP5xMxM9NzIUBw4cQGZmJiorK8GyLBQKBe644w5ORp6cOkAVFBSYHjQAyOVy3HHHHQgLC7Nxy/jN1s/t3LlzeOWVV6w2Ueso+P7cvvrqK6SkpNi0DfbIkZ+b085Bbdy4ERkZGUhMTERMTAwAQK1W4+mnn0ZiYqJVMprsER+e2+rVq606Ueso+P7cnPiz8pDw5blxESidNkBt374du3fvhouLS7fXH374YcyaNYsCVB/48NysPVHrKPjy3PrqgVMGZv/4/ty4CJROG6AYhkFlZSVGjBjR7fWqqipTVhrpiQ/PLTY2FsuXL+91ova2226zShvsER+eGx964PbIHp7btR9aLcFp56CysrKwbt06BAcHY9iwYQCA8vJylJSU4KWXXjItRiXd8eW5WXOi1pHY+rnNnDmz1x64TqfDrFmz8MMPP1ilHfbGHp7bjBkz8PPPP1v0mk7bg4qNjcXevXuRk5MDtVoNlmWhVCoRExNjtUWL9ogvzy0uLo6C0SDY+rnxoQduj/jy3KxdxcVpAxQACAQCjBw5Ei4uLqaUWwpO18fn5+bIGU1cstZze/755/Hwww/32QMnvePLc7N2FRenDVBda0oplUqwLMurlFu+4vtzc9IR6yGz1nPjSw/c3vDluVm7iovTzkHNnj27z5TbNWvW2Dzllq/48txsvRbLXtFzI/bEabfb4EvKrb3hw3PbuHEjnn76aQBATEyMKavp6aef5sW2EXxFz43YG6ftQVm7ppSj4MNzs4eMJj6i50bsjdPOQb344ou9ptwuWrSIssP6wYfnxpeMJntDz43YG6ftQRH7xZe1WPaGnhuxNxSgekGpyoNjzedmMBhsntFkj+i5EXvitEN8/aGYPTjWfG4CgQDjxo2z2v0cBT03Yk+cugdFKbeDQ8+NEGINTptmTim3g0PPjRBiLU7bg6KU28Gh50YIsRan7UEZU26vRSm3/aPnRgixFqdNkuBL8UV7Q8+NEGItTjvEB1DK7WDRcyOEWINTByhCCCH85bRzUIQQQviNAhQhhBBectokCUL44oYbbkBkZCQ6OjogFAoxZ84cPPTQQxAI6PMjcW4UoAixMXd3d+zcuRNA55bazzzzDJqamvDkk0/auGWE2BZ9RCOER/z9/bFu3Tp8+eWXYFkWer0eb731FubOnYukpCRs2bIFAJCamorVq1cDAC5cuIBZs2bRRpvE4VAPihCeCQwMhMFgQE1NDTIzMyGVSrF9+3bodDosWLAA06ZNw0MPPYQHH3wQ+/btw0cffYRXX30VHh4etm46IRZFAYoQHjKu/jh8+DAuXLiAvXv3AgCamppQXFyMwMBAvPnmm7jvvvuQkpKCiRMn2rK5hHCCAhQhPFNaWgqhUAh/f3+wLIsXX3wRt912W4/jVCoVPD09ey09RYgjoDkoQniktrYWL7/8MhYtWgSGYTB9+nSkpaWhvb0dAFBUVAStVoumpiasX78eX3zxBerr67Fnzx4bt5wQy6NKEoTY2LVp5rNnz8aSJUsgEAhgMBjwr3/9C/v37wfLsvD19cWGDRvw+uuv44YbbsDixYtx5coVLF68GFu2bIG/v7+tfxxCLIYCFCGEEF6iIT5CCCG8RAGKEEIIL1GAIoQQwksUoAghhPASBShCCCG8RAGKEEIIL1GAIoQQwkv/Hxhg3AMdvk8xAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import cpa.plotting as pl\n",
    "\n",
    "for drug in ['Nutlin', 'BMS', 'Dex', 'SAHA']:\n",
    "    df_pred = pl.plot_uncertainty_dose(\n",
    "        cpa_api,\n",
    "        cov={'cell_type': 'A549'},\n",
    "        pert=drug,\n",
    "        N=51,\n",
    "        measured_points=cpa_api.measured_points['all'],\n",
    "        cond_key='condition',\n",
    "        log=True,\n",
    "        metric='eucl'\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Previously, we demonstrated CPA predictions for drugs combinations. But our training data didn't contain any combinations examples. How much can we trust these examples? We can try to asses by running model uncertainty predictions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_pred2D = pl.plot_uncertainty_comb_dose(\n",
    "    cpa_api=cpa_api,\n",
    "    cov={'cell_type': 'A549'},\n",
    "    pert='Nutlin+BMS',\n",
    "    N=51,\n",
    "    cond_key='treatment',\n",
    "    metric='eucl',\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And here is the predicted response we plotted before:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cpa_plots.plot_contvar_response2D(\n",
    "    reconstructed_response2D, \n",
    "    title_name='Reconstructed dose-response',\n",
    "    logdose=False)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}