{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Inspect ChromBPNet Model\n",
    "\n",
    "Inpsect ChromBPNet model and look at footprints, individual loci etc."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import sys\n",
    "sys.path.append(\"../src/\")\n",
    "from utils.loss import multinomial_nll\n",
    "from utils import one_hot\n",
    "from utils.data_utils import load_test_data\n",
    "from metrics import softmax \n",
    "import scipy.stats"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/users/surag/anaconda3/envs/tf2/lib/python3.7/site-packages/tensorflow/python/keras/layers/core.py:1061: UserWarning: archs is not loaded, but a Lambda layer uses it. It may cause errors.\n",
      "  , UserWarning)\n"
     ]
    }
   ],
   "source": [
    "with tf.keras.utils.CustomObjectScope({'multinomial_nll':multinomial_nll, 'tf':tf}):\n",
    "    model_bias = tf.keras.models.load_model(\"../pretrained/c1.chrombpnet.adjusted_bias_model.h5\")    \n",
    "    model = tf.keras.models.load_model(\"../pretrained/c1.chrombpnet.h5\")    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2114, 1000)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "INP_LEN = model_bias.input_shape[1]\n",
    "OUT_LEN = model_bias.output_shape[0][1]\n",
    "\n",
    "INP_LEN, OUT_LEN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "TEST_CHR = [\"chr1\"]\n",
    "VAL_CHR = [\"chr8\", \"chr10\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_peaks_seqs, test_peaks_cts, test_nonpeaks_seqs, test_nonpeaks_cts = \\\n",
    "    load_test_data(\"/users/surag/oak/projects/scATAC-reprog/bpnet/data/20210818_n62599/peaks/overlap_merged/cluster_idx1.bed\", \n",
    "                   \"/users/surag/oak/projects/scATAC-reprog/bpnet/data/20210818_n62599/peaks/gc_neg/cluster_idx1.gc.neg.bed\", \n",
    "                   \"/users/surag/genomes/hg38/GRCh38_no_alt_analysis_set_GCA_000001405.15.fasta\", \n",
    "                   \"/users/surag/oak/projects/scATAC-reprog/clusters/20210714_n64913/bigwigs/cluster_idx1.bw\",\n",
    "                   TEST_CHR, INP_LEN, OUT_LEN)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Motif Footprints"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def profiles_for_motif(model, model_bias, seqs, motif):\n",
    "    w_mot_seqs = seqs.copy()\n",
    "    mid = w_mot_seqs.shape[1]//2 - len(motif)//2\n",
    "    w_mot_seqs[:, mid:mid+len(motif)] = one_hot.dna_to_one_hot([motif])\n",
    "    \n",
    "    raw_seqs_pred_bias, raw_seqs_pred_cts = model_bias.predict(seqs, verbose=True)\n",
    "    w_mot_seqs_pred_bias, w_mot_seqs_pred_cts = model_bias.predict(w_mot_seqs, verbose=True)\n",
    "    \n",
    "    wo_mot_pred_w_bias, wo_mot_pred_w_bias_cts = model.predict([seqs, \n",
    "                                                                raw_seqs_pred_bias,\n",
    "                                                                raw_seqs_pred_cts], \n",
    "                                                               verbose=True)\n",
    "\n",
    "    w_mot_pred_unplug_bias, _ = model.predict([w_mot_seqs, \n",
    "                                               np.zeros((w_mot_seqs_pred_bias.shape[0],OUT_LEN)), \n",
    "                                                     np.zeros((w_mot_seqs_pred_bias.shape[0],1))],\n",
    "                                              verbose=True)\n",
    "    w_mot_pred_w_bias, w_mot_pred_w_bias_cts = model.predict([w_mot_seqs, \n",
    "                                          w_mot_seqs_pred_bias,\n",
    "                                          w_mot_seqs_pred_cts], \n",
    "                                          verbose=True)\n",
    "    \n",
    "    return(softmax(raw_seqs_pred_bias), softmax(w_mot_seqs_pred_bias), \n",
    "           softmax(wo_mot_pred_w_bias), softmax(w_mot_pred_w_bias), \n",
    "           softmax(w_mot_pred_unplug_bias),\n",
    "           wo_mot_pred_w_bias_cts, w_mot_pred_w_bias_cts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_tracks(raw_bias, raw_mot_bias, pred_wo_motif_w_bias, pred_w_bias, pred_unplug_bias, start=450, end=550):\n",
    "    plt.rcParams[\"figure.figsize\"] = (6,4)\n",
    "    width = end - start\n",
    "    plt.plot(range(width), pred_w_bias[:, start:end].mean(0), label='uncorrected')\n",
    "    plt.plot(range(width), pred_unplug_bias[:, start:end].mean(0), label='corrected')\n",
    "    plt.plot(range(width), pred_wo_motif_w_bias[:, start:end].mean(0), '--', label='uncorrected w/o motif')\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "\n",
    "    plt.plot(range(width), raw_mot_bias[:, start:end].mean(0), label='bias w/ motif')\n",
    "    plt.plot(range(width), raw_bias[:, start:end].mean(0), '--', label='bias w/o motif')\n",
    "    plt.legend()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### tn5 bias motif"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32/32 [==============================] - 3s 18ms/step\n",
      "32/32 [==============================] - 0s 14ms/step\n",
      "32/32 [==============================] - 4s 101ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n"
     ]
    }
   ],
   "source": [
    "raw_bias, raw_mot_bias, pred_wo_motif_w_bias, pred_w_bias, pred_unplug_bias, wo_mot_w_bias_cts, w_mot_w_bias_cts \\\n",
    "    = profiles_for_motif(model, model_bias, test_nonpeaks_seqs[:1000], \"CAGTCCTGGACTG\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (6,4)\n",
    "\n",
    "# this is the range of tn5 bias\n",
    "for i in range(1):\n",
    "    plt.plot(np.sort(np.log10(raw_bias[i])) - np.min(np.log10(raw_bias[i])), alpha=1, c='k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.019534111"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.median(w_mot_w_bias_cts - wo_mot_w_bias_cts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_tracks(raw_bias, raw_mot_bias, pred_wo_motif_w_bias, pred_w_bias, pred_unplug_bias)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The corrected signal is a flat line, which is promising."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### AP1 motif"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32/32 [==============================] - 0s 14ms/step\n",
      "32/32 [==============================] - 0s 14ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n"
     ]
    }
   ],
   "source": [
    "raw_bias, raw_mot_bias, pred_wo_motif_w_bias, pred_w_bias, pred_unplug_bias, wo_mot_w_bias_cts, w_mot_w_bias_cts \\\n",
    "    = profiles_for_motif(model, model_bias, test_nonpeaks_seqs[1000:2000], \"ATGAGTCAT\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.81321335"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.median(w_mot_w_bias_cts - wo_mot_w_bias_cts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uvfRSDhw4gJeXV4Xj7tixg3379hESEkLHjh2544472LhxI2+99RYzZ87kzTff5IEHHqi23PaECRO4/PLLueaaayoc84477mDNmjXV7jsblAagULiBC00DqAvHE3K/fv1ISUkBYNmyZdx1110YDNpzZEhICElJScTExNClSxcAbrnlFlatWuU8zuTJkysc1/F+/fr17N27l6FDh5KQkMCcOXM4evQoSUlJtG7d2ln3JyAgwHm+8ixdupSXX36ZhIQERo4cSUlJCceOHWPVqlXceOONAMTHxxMfH19lrsFgoFOnTuzbt4+NGzfyyCOPsGrVKlavXu0sfrd06VIuvfRSANasWeM8Zrdu3ejQoQMHDhyoctwBAwbQunVrPD096dSpk3N+r169nJ/hunXruP766wGt3PaaNWtq/hIaAaUBKBRuwJUooNqe2L0N3rXuD/YKrtcTv8FgwFbOGV1SUlJhv6enJ6DV8K9vy8fy1FRCWkrJmDFj+PLLLyvs37XLtaY4Ukq+/fZbunbtelbrGj58OL/++iseHh6MHj2aW2+9FavVyowZMwDN/v/II4/UcZSKOD4zAJ1O53yv0+nO6TNsSJQGoFC4gYqJYO6PAoqMjCQ9PZ3MzExKS0v5+eef65wzZswYPvzwQ+fNLCsri65du5KSkkJycjIAc+fOZcSIEXUea9CgQfz111/OeYWFhRw4cICuXbty8uRJNm3aBEB+fj4Wi6XaEtIzZ850ltXYtm0boN3Y58+fD8Du3bvZuXNntecfNmwYb775JoMHDyY8PJzMzEySkpKIi4tDSsnOnTtJSEhwjp03bx4ABw4c4NixY2cteGoqt135+hoLlwSAEGKcECJJCJEshJhWzX5PIcRC+/4NQojocvuetG9PEkKMLbc9RQixSwixXQihSnwqWhRmqw1Pg/bndyEkgnl4eDB9+nQSExMZM2YM3bp1q3POHXfcQfv27Z09hOfPn4+XlxefffYZkyZNolevXuh0Ou6+++46jxUeHs7s2bO57rrriI+PZ/Dgwezfvx+j0cjChQt54IEH6N27N2PGjKGkpISLL76YvXv3Op3AzzzzDGazmfj4eHr27MkzzzwDwD333ENBQQHdu3dn+vTpNbaQHDhwIKdPn2b48OGAZi7q1asXQgi2bNlCnz59EEIAcO+992Kz2ejVqxeTJ09m9uzZFZ7268PMmTP57LPPiI+PZ+7cubz11lsATJkyhRkzZtCnTx+nw7gxqLMctBBCDxwAxgBpwCbgOinl3nJj7gXipZR3CyGmAFdJKScLIXoAXwKJQBtgGdBFSmkVQqQA/aWUGa4uVpWDVjQXRsxYSV6xmewiM9/eM4R+HYJVOegLlBdeeIHOnTszZcoUdy+lTupbDtoVH0AikCylPGw/2AJgIrC33JiJwLP2198A7whNXE4EFkgpS4EjQohk+/HWuXxFCkUzxGyx4WM0kF1kviA0AEXN/Otf/3L3EhoNV0xAbYHUcu/T7NuqHSOltAC5QGgdcyWwVAixRQgxtaaTCyGmCiE2CyE2nzlzxoXlKhQXPiarxNuoNVSvKQxUoWhs3OkEvkhK2RcYD9wnhBhe3SAp5UdSyv5Syv7h4eHnd4UKRSNhsljx9rALgHIagOoNoDhbzua344oAOA60K/c+yr6t2jFCCAMQCGTWNldK6fg/HfgezTSkULQIzOU1AHsUkJeXF5mZmUoIKOqNlJLMzMwqyWh14YoPYBMQK4SIQbt5TwGurzRmEXALmm3/GmCFlFIKIRYB84UQr6M5gWOBjUIIX0Anpcy3v74UeL5eK1comjBmq61MA7CHhEZFRZGWloYydSrOBi8vL6Kiouo1p04BIKW0CCHuB34D9MAsKeUeIcTzwGYp5SLgU2Cu3cmbhSYksI/7Cs1hbAHus0cARQLf28OqDMB8KeWSeq1coWii2GwSi03iY6xoAvLw8CAmJsadS1O0MFzKBJZSLgYWV9o2vdzrEmBSDXNfBF6stO0w0Lu+i1UomgNmu8mnOh+AQnE+UZnACsV5xmw3+Th8ANYLIBNY0TJRAkChOM+Y7ZVAHSYgs+oIpnATSgAoFOcZRyE4hwlIJYIp3IUSAArFeabUrgF4GzUXnEoEU7gLJQAUivNMmQag/fkpJ7DCXSgBoFCcZxw2fx+nBqAEgMI9KAGgUJxnHBqAl1GFgSrcixIACsV5xmQXAD4eqhicwr0oAaBQnGfMTiew0gAU7kUJAIXiPOPwARgNOvQ6ocJAFW5DCQCF4jzj8AF46HUYdMJZGkKhON8oAaBQnGcceQAeeoFBJ7CqKCCFm1ACQKE4zzg0AKNeh0GvUz4AhdtQAkChOM9UNgFZlAlI4SaUAFAozjNOAWDQYdALlQimcBtKACgU5xmTIwpIr8OgUyYghftQAkChqIbVB8/wzA+7G+XYjjwAzQcgVCKYwm0oAaBQVMOfSWeYu/4opRZrgx+7zAQk0OuE0gAUbkMJAIWiGhzlGtLzShv+2JaKTmCVCKZwF0oAKBTV4HhKT88vabRjG3QCg06nOoIp3IYSAApFNTiStU43hgZglRj1OoQQGPRC9QRWuA0lABSKanA8lZ/OaxwNwEMvAOx5AEoDULgHJQAUimowN6IGYLbaMBq0Pz2DTqfyABRuQwkAhaIaypzAjaUB2AWAXmUCK9yHSwJACDFOCJEkhEgWQkyrZr+nEGKhff8GIUR0uX1P2rcnCSHGVpqnF0JsE0L8fM5XolA0IA5H7elGcAKbLNIpAFQYqMKd1CkAhBB64F1gPNADuE4I0aPSsH8A2VLKzsAbwCv2uT2AKUBPYBzwnv14Dh4C9p3rRSgUDU1jOoHLm4A89MoEpHAfrmgAiUCylPKwlNIELAAmVhozEZhjf/0NcIkQQti3L5BSlkopjwDJ9uMhhIgC/gZ8cu6XoVA0LE4NoBFMQCZLmRNYaQAKd+KKAGgLpJZ7n2bfVu0YKaUFyAVC65j7JvA4UKsBVAgxVQixWQix+cyZMy4sV6E4dxzJWvklFopMlgY9dgUfgE6VglC4D7c4gYUQlwPpUsotdY2VUn4kpewvpewfHh5+HlanUJRpANDw2cCmCk5gncoEVrgNVwTAcaBdufdR9m3VjhFCGIBAILOWuUOBCUKIFDST0ighxBdnsX6FolEwWyVhfkag4c1AZqsNY3kNQAkAhZtwRQBsAmKFEDFCCCOaU3dRpTGLgFvsr68BVkgppX37FHuUUAwQC2yUUj4ppYySUkbbj7dCSnljA1yPQtEgmCw22gb7AHA6v2E1ALNVlssDUCYghfuoUwDYbfr3A7+hRex8JaXcI4R4XggxwT7sUyBUCJEMPAJMs8/dA3wF7AWWAPdJKRu+vKLC7dw3b2ujlU92ByarjXbB3gCczm14DcCZCaxXGoDCfRhcGSSlXAwsrrRternXJcCkGua+CLxYy7H/AP5wZR2KC5hDKzil84Yr49y9kgbBZLER4mvE20Pf4CYgLQqoXCawEgAKN+GSAFAoaqPYZOVJ6/vYLIJTObfRKsjH3Us6Zxx2+sgAz0YwAdnwMJRLBFMmIIWbUKUgFOfMiZPHiRIZtNedIXXLr+5eToPgSNaKCPBqeA2gnBPYQ5mAFG5ECQDFOZN3ZLPztd+eeRX2ybXvIJc8db6XdE7YbBKzVSvXEBng1eD1gMwWWS4RTJmAFO5DCQDFOWM7vh2AxbqLic36EwrsCXvp+7AtnU7uxvnuW9xZYLYXZzMadET6e3I6rxQtqK2Bjq8SwRQXCEoAKAA4lVtC3L9/Y8vR7HrP9c7YTZoMJ7nrHRiwYNs+H6TE9vMj6LHib8sBW9MJ/jKVa9oeGeBFsdlKfmnDZQObypeD1gtsUtM6mjoHTuezOSXL3ctQ1AMlABQA7DmRS0GphW3H6i8Awgr2c9ijM+26JLDR1hXLxlmwcyG6Y2vZZYtGj8SUn9EIq24cHM1gPPSCiABPoGHLQldOBAOwNqCG4S5eWryPe+dtbVBtSdG4KAGgACAlswiA1Kyi+k0sySXCfJzTvt1IaBfMl5ZRGPNS4KeHOebdnY8slwOQm1E5efzCxVEGwmjQExngBTRsVVCHfwG0UhBAs6gIejSziPT8Uo5kFLp7KQoXUQJAAcDRTO2PNjW7uH4TT+4EoCi0J9GhPqz1HEqxzg9pLeWx4lso8dLqN+VnnGzQ9TYmDhOQh16UEwANowFYbRKrTVbwAQBNvimM1SZJs/921h9WZqCmghIACqBMAzhWTw2gJHWr9qJ1b4QQdGsXybted3Cw7zNsKGnPoF5dASjObkICwFrmBI7w10xADaUBOLQLD0NZT2Bo+hrA6bwS5+e24Uimm1ejcBWVCKYAymkAWUXYbBKd/cZUF6XHtpEtQwiL1Gr+JbQLYubBRI7kt8bP8wwX9+sBO8Cce7rR1t7QlHcC+3oa8Pc0NJgG4BQujo5gDhNQE3cCOx4cwv092XA4CyklWksQxYWM0gAUmK020rKLCfbxoNRi40yB60+7+tM72G2LIcpeNyehfRA2Cb/sPMno7hG0jmyNSeqxFqQ31vIbHOdTuv3mHBHgSXoDtYY0Wyoeu7mYgI7ZNcir+7TlVF5JvTVJhXtQAkDB8exirDbJRbGavb7CH6/NCosfh7TNVSeWFuCbf4TdtmjahWjlHxKigpy7x/dqjbengSwC0RU1nWY+5nImIIDIAK8GNAHJCsduLiagY1lF6HWCq/pq/Z7WH1ZmoKaAEgAKUuzmn2Gdw4CypzkA9v4AGz+EP16uOvH0bgSSg/pOBPt4ABDsayQ61Adfo54RXTSBkqcPwljSdG4IpZWe0iMbsBxEZe3CoHdoAE1fALQJ8qJrpD9hfkY2lHMEF5usHDpT4MbVKWpC+QAUHM0sQoeNMQU/ECzCyzQAmw1Wvaa9PrQc8k5AQJuyiSe2A5Ad2KOCvfeekZ0oMlnx8tADUGgIIcDUdARA5af0iABP0u3ZwOdq1zZZyyKMQKsGCmBt6iagrCLah/gghGBgTCgbjmh+AClh6tzNbD2azY5/X+oMe1VcGKhvQ0FKZiFDjIcI/vNfvO/1PmmZ9qe1pMWQvhdGTANpgx0LKk48uYMsEYRvaMUW0ZMHtOe2oTHO9yWeofhb6p9g5i7KO4EBwv08MVlt5BWfezawuZITuMwH0LQ1gNSsItqH+AIwsGMIx3OKScsu5uPVh1l9MINCk5Wjyi9wwaEEgIKjmUUM9NOidAbJ7fRN+xykhFUzIDgGhj8G7YfAti+07QBWM/LYOs0BbP/DrwmzdyhBMqds7gVO5VDNYB+tNWROsencj21xZBk3n0SwglILmYUm2tv9QANjQgH4aNVhZvyWxPjwDG7X/8rB08oMdKGhBICClMxC4jxOgGcA2wMuZnLBHFj5IpzcDsMeAb0B+twIWYcgdYM26Y+XENlHmG8e4YwAqhHfCIxYMBflNPalNAiVNYAgu38jp8h87se2ajWRPCo7gZuwBuDIHncIgNgIP0J8jcxdf5QIf09eb7WM6R5zKU363Z3LVFSDEgAtHKtNkppVREfbMYjozvqe/ybNFq49/Qe2g/gp2sAeE8HDV9MCjqyC1a+T1WUyS2yJRAXX3gBG7x8BQE560ygHYarkqA1yagANIAAsZXWGoJwTuAlXBD2aWVEA6HSCgTEh6AS8NTke79RVAPQ98LbmV1JcMCgB0MI5kVOM2WqjVclhCO9G68gI7jc/gNUzEC5+CgzazQ9PP4i7CvZ8D9/dBaGd2Nz9CQDahdSuAXgGtQIgL+NEo15LQ+EwAXkaKmsADWACqpwI1gw1AIAnx3fn89sHMsB4FEpy2O49kHalB2Dv9+5apqIalABoRuw+nsuna47UOsZitbHuUKazYuPRzCLCyMPTnAMRPWgX4sNu2ZFVE9dCwvUVJyfcCKYCKDwDf/+UlHxtc10agE9wawCKc9xXDsJRg8cVTJXCQJ0+gAYwAVXOMXBEATVlH8CxrCICvT0ItAtKgPahPlwUGwbJywHBH12ns1+2R654Aazn/jkqGgYlAJoRH646zH9+3svu47k1jlmy5xTXfbyeX3efAjT7fxddqrYzorvzKe5odjV/pO0HQe/rYMLb0CaB1KxiArwMBHp7VB1bjsBwLUrI5MZyELfM2sh/ft7r0tjKN+kALy1aOrsBNYCqeQBN1zTiCAGtlkPLoU0Cbdp24BXzZETWYdg65/wuUFEjSgA0I7bam7nM+qtmLWD/Se2x/e3lB7HZJEczC+mpT9N2RvQg1NeIt4eeY1nVVAUVAq76wKkZpGUX1fn0DxAS1gqbFFjz3ScAjmQU1ioYy1NZAzDodQR4GRrICVwpCqgpZgKvexd2fuV8m1qTACjO0TLIO11CbKQfK20JZIf1h6XPwCej4cvrYeV/G14jyEiGJlR6xJ0oAdBMOJlbzPEcrZ7PTztO1Fi75mB6PjoB+0/l89ueU6RkFtHH6xT4hIFfOEII2of4VCgH8dueU2RWqg8kpeRIRmGd9n8Aby9PsvFHV+i+chCFJgsnc13L5jVZKzpqQXMEN4gPwFI5D6AJFoP7621Y/BiUFjjLQLerTgAc+ROkFTpfQucIP0DwS8d/aQEFRl/ITIY/X9ECCxqK7KPw0Qj49fGGO2YzRgmAZoKjleOzE3pisUm+WH+s2nHJ6QWM6hZBxzBf3lp+kCMZhXTVpUJEd+eYdiE+pGVrAmDxrpPcNXcLT3y7q8Jx1iRnkJJZxHB7uYe6yNUFYXBjOYiiUivp+SUutV50dOwqn/Ub5OPRIFFAVcpB24WMq/4Jt2MqgoJTUJID2+Y6y0BXqwEkLwejP0QNwN/Lg9aBXmzND9a0yJt/hPs2QFQi/PkqmM+t1MZjX+/gkQVbyVl4l+anSt14TsdrKbgkAIQQ44QQSUKIZCHEtGr2ewohFtr3bxBCRJfb96R9e5IQYqx9m5cQYqMQYocQYo8Q4rkGu6ImjJSSD/48xIazKKS15Wg2Xh46LuvVmku6RTBv/VFKzBX78JosNlIyi+jayp8HL4ll/6l8ktPziTIfhYgeznEODSCr0MQzP+zGy0PHsn2n2WpvFyml5O3lB2kd6MU1/aJcWl+BRwjepe4RACaLDZPVhtkqySys+yneZLFVePoHTQPIbhATUBOvBppzVPtf7wnr3uXYGc2sVkUASAmHVkDHEaDXfESdI/w4mF6WDJZ8poD39DdA/gnY/OlZLyk9v4Svt6Tht2sOQafWsVfEQt5xyGs6PSjcRZ0CQAihB94FxgM9gOuEED0qDfsHkC2l7Ay8Abxin9sDmAL0BMYB79mPVwqMklL2BhKAcUKIQQ1yRU2YX3ef4uVf9/POyuR6z91yNJveUUF46HXcPjSGzEITi3ZUDLs8mlmI1SaJjfDnit5t6BjmS1sy8LQVVdAA2od4U2Sy8tCCbeSVmJl/5yDC/Iy89lsSoHV82pSSzd0jOuFp0Lu0vhJjCH5uKgdRbCoThKdcMAOZyzVtdxDk7UFuA5iAqvgXmloUUHaK9v/QhyA3VQsLBjqEVhIAGQe1/Z1GOTfFRviTnF7g1MLeWHaQV5PCORaUCKv/B6X5Z7WkLSnZdBCn+LfXQk5HXMQH3ncCUHhkw1kdryXhigaQCCRLKQ9LKU3AAmBipTETAYdr/xvgEqHpzxOBBVLKUinlESAZSJQajkcBD/u/JvIX0DjkFJmY/uMeADYcyapw06qLIpOFPSfy6NchGIDBnULpGunPrDVHKjTodjx9dY7wQ68TPDQ6li66Mgewg/b2P+bVBzO4/+JY+rYP5r6LO7P2UCZrDmYwc8VBwv09mTygnctrNHuHESTdIwAKTWU1fE7m1t3yUtMAKv5pBPt4NIgG4Cg058gxaHJRQA4BkDgVwrvR8cAn6HXQOtCr4rikxdr/nS9xbuoS6Uex2crxnGJO5hazZPcpPA06Hs++EooyYf37Z7WkzSlZvGr8GJ3Bg8gbPuKuyVdiknp2rl9+VsdrSbgiANoCqeXep9m3VTtGSmkBcoHQ2uYKIfRCiO1AOvC7lLJacS2EmCqE2CyE2HzmTNOpKV9fXvhlH9lFJh4f1xWTxcbGFNf7qu5My8Vqk/SP1gSAEILrB7Zn/6l8Z5YmaPZ/IaBTuB8AE3q34ZVh9oKwEd2c4xzqfPfWAdx7cScArh/YnjaBXjz+zQ7WHsrkruEdndU+XUH6hONDKebis3vKOxeKygkAV8o6m6xVBUCgj5G8EvM52+qrhIE2tUSwrCOaXd83jML+9xJRlMyV/kllVT4tJvj937DsWc2+HxztnBobqf3uDqbnM3fdUaSUfHhTPzaaotkXOBzWzoT8U/Vekjl5BQPFPsQl0yGwLT07RHLKuzMc38LxnHr2uG5huM0JLKW0SikTgCggUQgRV8O4j6SU/aWU/cPDXXM4NjVWHzzDN1vSuGt4R24bEoPRoGPVAdeFncMB3Ld9sHPbRbFabf915fwJB9MLaBvkjbdRu3ELIYgoPgwBUeAV6BwXE+bHncNimHldgvNG5WnQ8/DoLpzILSHU18gNAzvU6xr1AZEA5Jw5/9nAhaVl2pQrkUBmq3Q+oTsI9vFASsg7R0ew2WpDJ8oygPVNLQw0O4Vsr7aMf3sNCd8HcUoG81/TKzDnCljxAnxyCfz1JvS9GW6qmPXbOdwfgF1peXy58RhjekQysmsEkwe04/8yJmCzmmH+ZDAVVvFf1USxycrfsueRbwzXzmknpMsQeolDvL7EtdyPloorAuA4UF7Xj7Jvq3aMEMIABAKZrsyVUuYAK9F8BC0OKSX/+mE3HcN8efCSWLyNegbGhNRbAHSO8CPIfAZS/gKgY5gv4f6erDtUJgCS0wuIjfCrODl9bwX7P2g3paf/1oPOEf4Vtl/dty0Xdw3niXHdnELEVYyB7isHUd4E5IoPwGSxVtEAnOUgzlEAVNYuDE2tJ3B2CtvzgygyWXjo0h5kXTkPj/43aTH/q/8HuWkweZ6WLOhZ8bcW6ONBhL8ns/46QnaR2Vky/OHRXUjRRfFe6FPYTu5kw4wr6fHMYh5esK3OVpyHtyxloG4fJ3reBQZP53a/jgPxEyXs3rnJ5fyP6nAlaqwp44oA2ATECiFihBBGNKfuokpjFgG32F9fA6yQmvF5ETDFHiUUA8QCG4UQ4UKIIAAhhDcwBth/zldzgVCf7lEncks4mlnEbUOjnSaV4bHhHEzPJ3vtbOcNvSZsNsnWY9lcG3IYPrgIZl8Ge35ACMHgjqGsO6yVfbDaJIfOFBAbWe6mbrXAmQNVBEBNGPQ6PrstkWvrYft34BOsCYCirPMfmVFk1wA8DTpOufDdmK2yqhPYXg7iXLOBzRbpzAGA8olgTcAHYLMhc45ywBzKNX2juH9ULD36DEX3t9fg7tUw7Rg8sg+6X17jIbpE+pNbbKZbK38GxoQAWse1f1wUw2tHO/Fv880MNG9kbtsfWLzrFJe89idz1qbUaHrz2/gWGTKAyJF3VtwR1R+AIZ5HmP7j7rP6fJfsPkXv55by046mUcPqbKhTANht+vcDvwH7gK+klHuEEM8LISbYh30KhAohkoFHgGn2uXuAr4C9wBLgPimlFWgNrBRC7EQTML9LKX9u2EtzD5+sPszA/y7nl52u3egOnNJs4t1aBzi3DescxAuGWQQvfQi+nKIltziQEhY9qN3s/3iF1ANbubL0J+44+k/wi4C2/eH7uyBtM4M7hXImv5TDGYWkZhVhstjoHF7uqSwjCaylFRzAjUVAqNZJrNQN5SAcGkBMmK+LGkA1YaD2che55+gINlttzlLQ0MRaQhacQlhKSJURRIdV0wPC0x88vKpuL0dnuwZ6+9CYCnkWD4yK5dW/x3PHI/+FwfczNPMb/rzaRu92Qfx70R5u/GRD1Qer41vpkL2OH7yuIigwqOK+kE7gFcgtHTLZeiyHt5YfrPfl/rTjBPmlFh74chuv/36gWWoDLvkApJSLpZRdpJSdpJQv2rdNl1Iusr8ukVJOklJ2llImSikPl5v7on1eVynlr/ZtO6WUfaSU8VLKOCnl841xceeb3cdzeWXJfnQCnv1pD7kumAuSTmsCoIvD3GIqpOsfd3OjYTmrAidoN/zv79KaswOmla/A1jkcPp2D7Y+X6LBgFM96fE5x9Gi4YxlcvxD8IuHLKVwUpjmA1x3KJNkRAWR3xFGUBd/eoZV4jh7awJ9EVYIjNAHgjnIQRfaIqk4RfpzMLakQGVUd1TmBG6opTGXhUtYSsgncXOwRQEdlJNGhtTcBqolLe0QyLDaMCQltKmz38tBz7YB2dAj1hUv+Dd4htD78NXP/kcirf49ne2oOl721mj+Syko8yFWvkYsvaZ2vq3oinQ7a9iO6eD/X9o/i3ZUHyJh1HcwaB4V156NYbZI1yRlM6N2GSf2ieHv5Qe7/ciulFtej85oCKhO4gSgyWXjwy22E+nry+e0DySwo5ZUldVu1DpzKp1WAl1ZJsSgLZl+OOPg737b+Jw/k3YTtshlwbB2seZ3Crd9gXPUS31kv4oX2sxjDh/zLfBv/EXfjc9OX2hOYbxjc8DVYTEQtuY22/h6sO5xZIQSU0nyYdw1kHoLrvoSg9o398eDj40uu9EW4oRxEYammAXQK18IQy7d2LDFbnfsdVJsHYPcBZBeeuwZQ/th6nUCIJmICsguAYzKC6LC6a0BVx5DOYcz9x8DaI8gMRug1CfYvRpTkcO2Advz0wFDC/Dy59bNNzFmbAnsXIZJ+4VPzeOI61mCSbNsP0vfw7LhonvL/jbBji5GpGzUzaV7tZp3dx3PJLTZzSfcIXr0mnqcu68biXad46MvtTeO7chElABqI53/ay5HMQl6f3JuLYsO4bWgM8zccY3Md4ZxJp/Pp0spfC3/77DI4vQcmz8Mw8B/kFpvZETwW4v6OXPkShkX3sMXWBd9r3mPWbYksnX4tV9/1b66Z+jRCV+4PKrwrXP46In0vt7Q6zIbDmRxMzycywJMAvRW+vE5r6D5ptpapeZ7I1QXiUZJx3s7nwBEF1Clce2ot7weY9u1O7pizucJ4k8VWwU4PEODlgRAN7wQGzQ/QJExAWUewoaPUpzX+XrVXgD1nEq7TzJO7vwOgc4Q/P94/lNHdI/j0pxWYv7+XzMA43rdOoH+H4OqP0bY/SBs+Wz7iH+Z5/GIbzDOBL2LLSdU0gayaiyauSdZ+p0M7hyGEYOrwTjxzeQ+W7DnF09/vrlOLbCooAdAArD2YzprNW7lnRCeGdNLCLx8Z04W2Qd48+d0ufth2nG+2pPH9trQK4W1Wm+RgegEDg/O1H2TOMbjxG+h2GcNiwxECnvx+N5cfvorjtmAyZQCWSXMZ21sLwdTrBH3bB9O9nP/ASfcJ4B3CeMsKMgpMrNyfTmyEP2z8CFJWa/VYul12Xj4fBwWGELzcUA6iyGTB06CjbZBWuM6RDCalZE1yZpXksOo0AJ1OEOjtcc4F4Rx1hspj0OmahgDITiFDH0ZUWFDjn6t1AoR3hx1fOjd5eeiZOakns3zfpchk4zHxfwT6+VTNQnbQtp/2/8oXEMExGCbO5PusGK4rfYrSwhzk3CtrrEG0+uAZurcOIMyvLLLoHxfF8MCozizcnMrLvzaPmBUlAM4VKfH59UH+ND7Mwz3Lkq58PQ28cGUchzMKeXjhdh79egf/t3AHCzeV5cWlZBZitBRw64H7oThLK5AVMxyAEF8j43q2otBkIap1GxYPXkjRP/5kYK9uVZZQLQYjxF9L1OmVBFJAdpGZrmGeWrZl9DCIv7ZBPwZXKDaG4OuGchCFJgu+ngZa2bNVHY7gk7klZBSUOn0EDqrLBAbND3CuJaHNVlm9BtAU8gCyUzhqi9Ts9I2NEFrZ8bRNWlkJACnxXjmdzpZkZng/xIpT3vTrEFzBmVwBv3DNvGnwgmvnMLZfLEseHo4uqj+3Fd6HyE7h1NL/VZlWZLKw5Wg2w2LDNDPp5lnw9a3wwUU8IubzaG8zH646zI/bm0aL09owuHsBFwqHzhQgpawS+14nK14gIetXEKDfPgfa9XXuurhbBOumjaLQZEUvBDd+uoHVB89wy5BoQLP/P2T4Dp/ik3D7b9BuQIVDv39jv3O7qITrERs+4Ea/LbxbMIJRtr+0wltXvHVuxz1LTD6RhBVswGY2ofMwnrfzFpVa8THqifC3CwC7CWh7ag5AlbIb1d2kAQK9Pc49DNRaNcJIrxdNohSEzDpCsjmOmLO0/9eb+Gth2b9h+3wY8Tj88ihs/wIG389dAx5g/exNjI9rXfsx/vY66PTQqhegVbqdd8dAvtjQihW//c7AjW/xZGYiUy8bQow9smn77l3cyQ/cl7QNNh7QjuPfGkI6ItbO5H5pZbxfZ+78cRpDO0+ooCU0NZQGgGYKuHPOZu6Ys7l2257VoplpLPba+JtnwerX+NJyMfsiL4dd30BpQYUpEQFexIT50t6QzZOBSzl86ICzIFjG4W3cpl+CNeEmaD+w4S+sVTxExnGtYRUgSUidC+HdoPPohj+XC4gOQ/ARpRzdtea8nrfQZMHXaMBo0BHm5+nUAHbYBUCR2Vrhey+1VDUBgZYN7EpkV21Up100CRNQaQGi6EzNIaCNgX8r7be640uYNVa7+Q9/HMY8T7sQH5Y9MoIr+1SuSlOJ2DEVCtKBZs67eXA0A+56Fy+dlcRDM7n87dXsSTkJix5gyKKRPO6xEG//YBg/A+7fouU33LYYHj0A416mkyWZSy0r+feiPY34ATQ+SgAAm1KyOZxRSEpmEXtO5NU88Lcn4c1e8EIkvNYVfvkn6ZEj+JfldnT9b9PqkO/+tuKc7BT46WF4O4HxJ99jvniapO1/gZQM2v8ShcIXw6WNVA3brkZ3KNnHvd7L8M3eB4Pv10Lk3ED7/uOwSUH27qXn9bxFJis+npqTvHWgl7MchEMDsNqks0wzOOz0Vc0KWknocwwDrca/oJmALnANwF4G+piMOOsQ0LOi93WQfxKyUuC6BTDqae2JvgHwb90V/eB7uUr8yfXG1fjOHoXcOpdvjFfycKvP0d2xFAZOhbDO2t8SaFF2g+6B1r25NWgHv+w8yZLd1dQvMhdrZS3KdU67EFECAFiw6Rh+ngYMOsFPO2sIDzuxHTZ+DN2vgJHTtCeT/rfzQcTTeBmNdOxzsfZ0Xb7f6YGlMLM/bJ8HfW6kcNJCbAi6Lr4WFj9GbPFOfgy7E3xCGu/iel0LOgOPM0fLD3CD7d9Bm1ZtSNJ3wv/E6vN63sJSC36emrUzMsCLU7klWG2SXcdznQ7Z8mag6pzAYG8K0wCJYFWcwPqao4AsVptTY3Qr9oiZozLy/GkAoP29XfoCTF0JXcc3/PGHPwa+4TxteQcfinnE6zkezbuWbt2rLU1WRo8raZW/mxGRJfzrh91VOuaxZQ4cWALf3w1Jvzb8uhuIFi8A8krMLN51kgkJbRjaOYxfdp6sagay2WDxo5r0n/COJgCufBf+9j/+SCkmMSYED4Me+t0Kx7fAqV2awPj6VojsAQ9uh8vfwLfnOJ4Je4s0XSvY9DHbbZ04E9vIN2S/cIi9FKQNBlasl+IOToQMJLpkH7biWjStBqbIpPkAQNMATuWVcDA9nyKTlT7tg5xjHNTkBA7yNpJfYjmnp3WzpXoncE2JYE98u4u75m6udt95xZ4DUOgT5RSm5wW9Bwx5AEI7Nc7xvQJg4rvQ9xZSJv3Gz/mxAFzUOaz2eT20ivivdD9CXomZKR+tL8tUtpTCX29p1VBb99buA8fWN876z5EWLwAWbT9BidnG5P7t+Ft8a9Kyi9mRVql41I75WjTCmP+Ad5Bz8+m8Eg6fKWRwp1BtQ/xkrVPSn6/A/Gu1J/vrv4LAMjtlz27dmFD4NKlx9/KI+R66tg6k0Rl8P0QNgP63N/656sDQ+WI8sHJi54rzdk6HDwCgVaAXucVmZ5E8R9iuQwDYbBKLrXonsCMZ7Fz8AJVLQYBWY6mmKKBDZwpYeyjT/Sai7BQKhS+hYRHuXUdj0GUsTHibxJ5dmXldX65LbEeP6kKryxPaCVr1olXaEubclsiJnGKu+WAtxzKLtB7H+Sfg4qe0pMzAKO1+kLxcy+y/gGjxAuCrzal0a+VPfFQgY3u0wkMv+KW8Gag4G36fDu0GQe8pFeaut5daHtzR/rTgE6I9Gez7SYsvvuFrzZFVjuGxYRRIb/5T9HcOyzZ0jaxn1NHZED1UKxPhXUPCzHmkY99LKJEe5O35/byds6i0og8AtEb3AV4GurfWPn+HCcjhC6jJBAScU2MYUzVRQFoiWPU3+LwSM6UWGwdOF1S7/7yRfYRjMpLoML+6xzZhxsW14qWr49HpaggtLU+PKyFtE4PDipl35yDySyxM+WAVectmkBuawMnQgZrV4MbvtB4KX1wNM/vBX2/DiW1a5dRz7IV8rjR7AVBqsTJnbQpbjlbNyN17Io+dablMHtAOIQSBPh4Miw0vMwMVZsLXt2lC4G+vlTmC7Kw7lEmAl4Eebco9LQy+F0I6wuS51VbZ7N0uCH9PA7/vO42HXpxfe+oFQFR4MDv1PQg8VXuV04akoLScBhCgCYCNR7Lo3S4IP1FKAIXOpjGOhi2V7fRQVhE09xzqAdXoA6hBA3D0H9iZlnPW52wIbFlHOGwNa3G/11rpcaX2/95FJLQLYuHUwfzdsJaA0pM8dHIMg19eyX3ztpLj2Roe2AxXfQi+4fD7M/DRSHijJ7wYqSWBnthe42m+2pzKv37Y1ShaYLMXAFLCOyuTee23A1X2fbU5FaNBx1XlQsn+1qs1J3JLSNq8HD4cBkf/givedsYRl2fd4UwSY0KdTT0AaNMHHtxWY4kFD72OQZ1CkVKrTVOdqaE5I4TgdNgg2pqOIM+i+1NdlJitFao2Wqw2Si02fMqZgABsEhLaBdFt45N8YnyNYnuGtqNlY01hoHBu9YCqyzHQ1xAGKqV0mpuqmCXPJ5ZSRHYKR2Tr8xsBdKET1hki42DvDyAlXS1J/NPrR6ytenP/nffw4KjO/LbnFOPfWs3aY4WaBeEfv8H9m2HKfC0fZ8QTkJmsCYSfHtLqgVVi0fYTbDySVdZ1rQFp9ncfLw89dw3vyLrDmWw8UvbhnsgpZsGmY/ytV2vnkx3AmB7h3O2xmNhftOgZ/vE79L2pynGP5xRzNLOIIQ77fz0Ybu/W1eV8mH8uQDy7aHHZp3f81qDHtdokI2as5PN1Kc5tRfYbu6/dBNSqXO/aPm39CDz+Jx3FyTITUKWm7eUJ8nZUBD0HAVBtHkD1JqBis9UpkNyqAZxJQkgrSbZ2Z10ErtnS40pI3QBvJ2jd0PJPoR/zHP1jQnnk0q58f+9QvD303PDJBmatsdceCouFbn/TgkYufkoTCIPuga1z4bPxWgipnRKzlY0pWVzUuXG6ITZ7AQBww8AOhPkZebtcTfD/Lt6HlPDPS7uUDSxIJ+Db65mm/4Lltr78PGQBtEmo9ph/JmlVLQefhQAYFqt9md1at0wB0KX3ULKlH4V7lzXocY9mFnI6r9RZ+RTKmsE4NAAfo4EAL+11H49j6M0FhIk8iks0W2xZz95q8gB87V3BziEXoNRqw8NQjQ+gGhOQ4+k/1NdI0ql8l9skNjjpWlvF/bK90gAq0+sa8A6BoA5aNNGjB6DTxWW7owL5+cGLGNujFc//vJfvtqZVPYZ3EIx7SSvlfmY/LC+rjr8pJQuTxcawLnVEJZ0lLUIAeBv1TB3ekTXJGWw5msW6Q5n8vPMk94zsRFSwjxbmue8neH8oHFlN4ehXmdX2ee7/7ggvLd5XJUSvoNTCW8sPENc24KycuNFhvnx+eyI3DapfX93mQocwP7boexGSvrZBoyIO2HsrlE/WcjSDcWgAAK0DvWkb5E1w+gbnNlmo1ZkvtVTjBLZZoTATf08Dep0461wAKSVmqw1PF/MAHALgotgwLDbJ3pPnL3S2Aqf3YBEG8n074Hs+Q0CbAiEx8MQRuGUR9LmxQm9tBz5GA29dl8CQTqE8/s1OVpbraVCB2DEw4E5Y/x4c/hOANQczMOp1zu5pDU2LEAAANw7qQIivkTd+P8hzP+2hbZA3dw+Ngq2fw3sDYeGN4BMKU1fie9FdzL1jEDcMbM+Hqw5z19zNFZ6+Zi4/yOm8Up6fGOdatEA1DO8S3vgldS9QhBCcihhOsCUDeXxrgx036ZT25J9VWCYAKmsAADcMas/dIzpqVVHt6Aq0RjXVOoE3fgxv9UaYCgny9jjrpjB5JRakBM9KtfBrKgXh6D7m0Bh3ucsPkL6XNH172oedh5DlZoqnQc+HN/Wjayt/7v1iqzMLvQpjnofQzvDDvVCcw6qDGfTtEFTh99uQtAwBYDXjYzRw5zBNC9h/Ko93e6fg9UEiLHpAS466+hOtr2lkT0CzAb94VS+en9iT5fvTufPzzRSbrBw8nc+na45wbf8o+rZ3f1hlU8U3fgImqSdz40LXJpgKYclT1TrJHDg1gHJOWqcG4CE0TQ+4eXA0NyW2haPrkG213rH6wkoCoLwGcHApmPLhzH4CfTzOOgx06R7N6V3Zb6QlglX1ATg0gK6R/oT7e7LDTX4AeXovuy1t6RiuzD/ngr+XB7NvSyTE18gjX22vPsPb6ANXfQT5Jyn9+k5On0xzPgA0Bs1fAEgJb8TB+xdxR+7b3OnzJ0sCXyJhw/9ptrebvoe7VkP8JC3rsBI3D45mxjW9WZOcwe2zN/HMj7vxMep5YpyLZZkV1TK0V2fW2HphTFrkmhlo30+w/l3Y+2ONQxwCIKucCcgR3hn/+xT44e6ywSe2gbkQ0WsSAMZiTS2v4gS2mjUnH8DpPQT7GM+6L/CiHSdoF+JNQrugCttrCgN1CIBAbw96RwWyswYNwGaTFFTqatZgFGcj8k+wyxzFpT0jG+ccLYhwf0/+c2VPDp8p1DqblSOjoJQz+aUQ1Q/G/hePIytY6fkIV5b+pBWibASavwCwmqDfLeAbhsfe73ja9iFd9Sfh8jdh6p9apcCa6onbuaZfFG9cm8CGI5msP5zFY2O7EtqES8BeCET4e7EzaBQBpSfBFTPQgSXa/8erL4tQarFyJKMQnYDsQpOznEdhqZVYkYZf+hbYuRBO7tAmHFml/d/zKmwIPIs1p36VRLCTO7QifwDpewk6y5LQGQWlrD2UyRXxbarUr69iAlr2HKyaUUEA9GobxKEzBdXe6OeuP8pFr6xoHCFwWnMAn/SMadQn0ZbEqG6RXNw1nLeWHyQ9Xws+2H8qj0vfWMXlM1eTUVAKg+7mtU6z2Cs60Xb9s/DRCDAV1X7gs6D5CwCDpxZqdfMP8MRRuH8z4qEd0P+2elUVvLJPW96/sR+3DO7A9QNbpvO2ofGKuwKT1FO07evaB1pMWho9QNqWaoccySjEYpPEtQ3EYpPk22+GRSYLl+vXIYUOPANh5X+1CSmrIaIn+EeSQwBepVoLwCoaQIq9dHVwDJzeQ9BZNoX5dddJrDZZpRk6aJ3dnEk+VovWte3PV7HmnkQI8PcyEN8uECmr9wMkpxeQU2Rm5f4anIvnQFHaTgBieg5scTkrjckzl/eg1GLl1SVJ7D2Rx3UfrcegE2QXmXl4wXasNsl3x/yY2/lNuHauVnzS2PAhuC3rG9XptBhcz7MLvxzbsxXPTYyrmPilOGsuiuvEKls8cs/3tZuBjq2D0jytTeCZ/VpT+0okndK2Deqo2dez7Y7gwhILV+jWYW03FIY+qGkSR9fCsQ0QMwyALF0IfmZNADgTwcoLgLCu2tjTewjyNpxVGOiiHSfoEulHt1ZVa8xUiAI6vUvTOKwm4o7Nw9/TgE4n6B0VRE9xhOwdv1SZn1moVaL8dffJeq+rLtKStpArfRgzMKHBj92S6Rjux+0XxfDNljSmfLQOLw89X901mOcn9GRNcgaPfLWdU3klDOsSAT0mwJjGKRnfsgSA4oKiZ5sA/jJehG/JKUirpeLlgSVakb1h/wSkZr+vPOR0PgYd3JD1LsN0O8m0CwCfrD101J3S4rUH3q1Fen17B1iKtdaYQI4+tJwAKGcCslo04RN9kaYtFGfR1pBHocmqaQqn98KHwyHrcMXFlBbAb09DnnZDPp5TzKaUbCb0rvr0D5XyAI6u0/6PHka/jO9o66Xd3EOsmXzh+QrDdz9dRVhmFGjXunL/GafPo6GwntrNMUMMPduqCKCG5oFRsUQGeOLnaWDB1EFEh/kyeUA7ru7blh+3a/XI6qxKeo4oAaBwG0IIRPfLMEkDlsqNdBxIqdVTjxmu3YihWmGRdKqAwSEFdEiey5se71KQqd18o08twSz1GHpOAE8/GPow5B0HhFYkD8gzhBBo0aKLykxAAk7Z7f/RQ7Wy3kB7awqAFgq662vNR7D4sYo35RX/gXXvwIYPAJzFBa+oSQDoy/kAjq3VkorGvYSXrZgp4nctD+H7qQSTh58tz1ma2UFGQSnh/p4Um63OBMWG4HB6Pm1NKeha9ai5767irPHzNPDTAxfx68PDnX2WhRC8cGUcXSP96RzhR7uQxs28dkkACCHGCSGShBDJQohp1ez3FEIstO/fIISILrfvSfv2JCHEWPu2dkKIlUKIvUKIPUKIhxrsihRNiqE9O/GnLR7b9oWw5En4/d+w/gPN7g9aQ/DsI1rJXp8QCOmk9VyoxIHT+VzqewiAIAqI2fhvsNnolvE760TvsqY7A+7QGuO0jndWRy3wCCPQlg02a0UnsMP+38GuAQBtSrWn/ZwiMxxarmkmycu0KCWA1E2w4UPQeWgCwmZl0Y4T9G4XVGMzdWcpCCk1DaDDEGjVi63G/lxZ+iP88TIcWcWm8KsBkJU0oMwCE2N6RBLia2Rxdd2p6sH21By2p+aQW2xm2fotBIhi2nUbUPdExVkR4e9FoHfF6EMfo4Gv7xnM/DsboU1sJeoUAEIIPfAuMB7oAVwnhOhRadg/gGwpZWfgDeAV+9wewBSgJzAOeM9+PAvwTyllD2AQcF81x1S0AIZ0CmMhl1JqFbB1LnL9e7DkCeS3t2shmI7ony7jtP/b9qsiAIpMFlKzi+jHXqR3CP+zXEu7k0vht6cIMp9mpcewssFGH7jpB7j647L5nmHosUFhhlMDMOp1kPIXhMaCfyT4hoJfJGGFyQDkZpzUnv4v+j+I7AVLpmk5CosegIA2cPkbkHec3H0r2H08j3E9K5YFL49Bp8NqlZqwK8qA9oMBmGu4mkBbLqx6FXpexY6eT1AqDZiOlWlAJouN3GIzkf5ejO0ZyYp9p8+6ZMShMwVc9d5fXPnuX/R+bikbNmiJcgEdep/V8RRnT4CXBxH+XnUPPEdc0QASgWQp5WEppQlYAEysNGYi4OiF+A1widB0xonAAillqZTyCJAMJEopT0optwJIKfOBfUAd3Z0VzRFvox7ZaTTDbR/wN78viSmczXPmmxD7fqJk4e2w/xet4mJQO21CVH+tR2zucecxktMLkBKiC7ZBhyF8xgRO+PaEDe9jEka2eA2ueNLIHhDe1fm2xNMe3lhwqqwWkJBl9n/nvJ4E5Gn1pDxS/tC2dbkULn9dMyt9PArO7IO/vQ69JoFnILqdCwBoE1TzH7NBLzDbbJr5BzQNAFhj6sJh3wQIjobL3yQs0J99sgPWtLKwWUfWc5i/kfFxrSk0WVl9MKOuj71a5q47ikEnePu6Pjx1WTcmt7c726spa65oHrgiANoCqeXep1H1Zu0cI6W0ALlAqCtz7eaiPsAGqkEIMVUIsVkIsfnMmYazbyouHK7s05ZCkxU/TwOPje1KxJj/42XrjXgdWASp6zXzjwN75u7sr79xhkQmncqnNZn4FKYhoi8iwNeLL1s/AXoj27wHIbxq7+5k8rZ3uco/7RQAXpl7tMij8gIgogeeOQfRYcP/+GrNhNQ6AdolQt+bNVNV3N+h6zjw8IKeV+JzaDE+lFTfRjHjIJTklbWEPLpOqxcf2hmA3BIL33Z7E+5ZB95BRPh7stPWEeOZXc6s5oyCUrqIVAakzmZwxxACvT34ZecJ1iZn8M+vdjDhnTXkldQdtlpYauHbLWlc1qs1E3q3YerwTlwamgmB7aqtb6NoHri1spMQwg/4FnhYSlltpSsp5UfARwD9+/e/sPqpKRqEK3q34fL41hUcjck9XmHObAOTC+eRFj6azo4dreKw6YyUpGzittk9+P7eoRw4nc9Qj/3a/g5DCPbJZb8tCO5cwYffpuJrrD3fw+JTpgGYLDEAeKTZn8YraQDCUkKMOElkxlqIvbgsl2TM8+DfBhKnlo3vfR36rXMYq9uEn+fIiictyoIPhkGrODzavaU5gY+thfaDQAhKzFqkkY+fvzP+OyLAk+9kR242/67VkA/vQkZBKQ8avqPL7g3QOZZLe/Tk6y1p/LD9BHq7YDl4uoB+HWovW/L9tuNQmsdjvpth5RKtk1XaJohQltnmjCsC4DjQrtz7KPu26sakCSEMQCCQWdtcIYQH2s1/npTyu7NavaLZUDnKpHOEH353vULvl0byZH7rMgFg8CTDrwsJOcmUmm3c8tlGAr09uMvnIBAIkXGE+G7STCOt+nPSkkNbv9p/5lZfrcSBLe8UJns4pv7EZi0ap3xLT/vNcJLnevxMGdD5krJ93sFw8ZMVD9x+EEW+UVxtXY2vZ6V9u77WQlHTNjFIN4eFMg5yjsHAe4CKZSCcpw/wYqeto/bmxFYI70JOTg5jdXan8NJ/MfXaPzBZbYzqFkHbIG+u+WCdVl6gFqTNxvE/P2OV92cEb8mpuLPPjbXOVTRtXDEBbQJihRAxQggjmlN3UaUxi4Bb7K+vAVZILRd/ETDFHiUUA8QCG+3+gU+BfVLK1xviQhTNj8gATwL8/dl5vGL2a5K+C/G6I3x6c1/SsorZdiyHvnIfdBgMOj3BvkZnIliRyYKfZ+0agNHTm2zphzXvJCaL1rJRHN8GbftWHBjeFYSOKSzV3ne8uOrByiMEKW0nMFS3hyBLuSxdKWHLHK17XK9rGXjsE6Ya7AleHTR/RV41AsDf00CaoR0mnZczF8Lv6DK8hYnSMS9DcQ6xO2fw1pQ+TExoS/tgbwIp4Ex+LX1nCzPJ+3AcTxS/gS2wHdy5Ep7JhEeTtUYlFz1S+zUqmjR1CgC7Tf9+4Dc0Z+1XUso9QojnhRAT7MM+BUKFEMnAI8A0+9w9wFfAXmAJcJ+U0goMBW4CRgkhttv/XdbA16Zo4gghiG8bWKX8wV8l0fhQQqJfOq9d25twsokwpUIHLa4/xMfoLAhXWGrFp44a9j5GPekyCFue5gSO0OdD7jFoU0kAeHhDSCeCyCfN0AEC645b2B+h/axDd3xYtvH4VkjfA31vgctmUOgZzu2GJUijrxZRRJkGEFBOAAghCPP3IdUz1lk/Kerkb6TLYIyD7tT6UW/9XMt03vcz4QvGscXzbrxSy8peV6AwEz6fgHf6Np4Xd+F770pN6OkN4BeuZc3rVf3/5oxLeQBSysVSyi5Syk5Syhft26ZLKRfZX5dIKSdJKTtLKROllIfLzX3RPq+rlPJX+7Y1UkohpYyXUibY/y1ujAtUNG16RQWSfKaAQnttn2KTlcU57bWdy//DhJ5h/Hi53XxkT+wK8TWSW2zGYrVRWGqp0wfgbTSQLoOg4DQmi40+evvPt7IGAM5y4Zv0CS6t/6S+NXOto/Ha+omWIwCwdTZ4+GgOY+8gVsW9gE0KLG0SnTfc6kxAABH+niTpOsOpnVCcTaectfxpGILQG2Dkk5rTds4VsPAGREkOp0QYlx54DoqzKy6sKAs+n4gt4yB3mP6Jx4Db8DK2zP4ULRmVCay4oOnVViuC5uiGte9UHsdkBPv6TIcDv8JXN9Mmcx0Y/aGVFq8e4mtESq0sdLHZWmczDR+jnnSC0NnDQHuJw4CA1tXEv9sFwCpbvEvrzy+x8Ka8HhHQFhbdr914d30LcVeDPTopI3QA95gfonDYv5zzahQAAZ5stcSApQTWvIGHNLHZb6S20+gLE2ZCVCJc9SHcv4VX/Z/C15IFP/9fWbZy5iH4fAIy4wAPyMc5HJDI1OEdXboeRfNC6XeKC5pe9ho0O9NyGRAdwh67PyBwxL3QJhB++ac2sPNo59NzsK/WvP1Ejmb79q3DB+Bt1HNMBqMv2ojJYqUnyZq9v7qigT2vZseunSw73aXqvmooLLUgvPy1xLD5k2DOBDAXauYfOwa94DdbIv8Jj3Nuq1kD8GJdSXsQwPoPyBChZASVE1SdLq7QkzY3uCfzLTdw857PIWYE5KbB2reReiNPez7FqqLufHfrAFXevIWiNADFBU1EgBetArzYZe+Gtft4HiG+RloHemllHS5/QxvYqSwiJ8RHEwBp2Vr99Do1AA89p2UQOpsJD1MO3WWy5qCtjrDOrOv1HPlmvUuF1wpKLVoOQJdLode1WrXP8G4QVVZewWCvLmsu1xPA6QPwqrj2iABP9paGIT0DwFrKUjGY0FoyRiP8PXnfcjm0GwQ/PwyrX8PW40oeDP+Er3K68P4N/Yg9i77WiuaBEgCKC55eUYHOSKDdJ3Lp2SagLGy0/+3w4HYYeJdzfLCv9tScmlUM1K0B+BgNpEstTr5t4V5CZG5VB3A5HAKmfO/hmsgvsZQlgY17WSstMeTBCk2IDDrtz9BqrSgA/DwNGCrV4I/w90KioyRcM0F9V5pY69N7uL8n6YVWbFd9BPGT4dbFbOv/Kj8dsvHkZd25KLZxq00qLmyUAFBc8MS3DeRIRiFZhSYOnM4nrnJp4pCYCs19QnzrpwF426OAAOIK7OWYq3MA23GYmMr3Hq6JglJzmQDwDYUHNkOfGyqMMeg1YWAp1xc4t9hcxfwD2hM9wOm2l2KJGsRmaydC7eupjgh/T6w2SZaxFVz9EUQP5VhWIQAjuqgOXy0dJQAUFzxxUZoj+LutaZitkrg2tZcmCHaagOwagItOYICE4nVY0Gv1h2rAIWAcjVhqo6DUgp9X7ed3NBgq3xYyr9hcIQTUQWSAZu7Z1WYSKRO+BQTh/jVrABH28eWTwY5lap9LVLB3netXNG+UAFBc8DgcwfM3HgMgrm3ttX28PPT4GPVlGkBdTmCPMg0gxJrBMY8YrZZPDTgEgCu9gQvKm4BqwGECslQyAQV6V53n0ADS80u13rFAqG/tJiDHeAep2UVEBnji5eF6S1RF80QJAMUFT5ifJ22DvDl8phB/LwPtXWiSEeJrdFkD8DbqKcYLk16r13/E2LXW8WU+AFdMQHVrAAZdVRNQXrGFAK+qGkCQjwdGvY70/BIyC8oqgdaEQ2CU1wBSs4poF9y4jUYUTQMlABRNAocWUMEBXAshvkZK7bX9fepIBPM06NAJKPDQ+gkf8+pW6/gAbwN6nSDLBRNQfokF/7o0AH1VE1BNPgAhNJPPmbxSpwnKNQ2grBxEalaRS0JU0fxRAkDRJOgVpQmAuuz/Dhx+AKBOE4wQAh+jgTyDFhFz3Kd2ASCEINjHWKcGYLbaKLXYzsEEVH1mbkSAJ6fzS8jIL0WIMpNUdfgYDfh5GkjP04SFyWLjZF4JUUoAKFACQNFEiHcIABebk5e/KdblAwDNDJRjCKUEIxneMS4c38NZcK4mHOUr6jQBVYoCMllsFJutNQsAf0/S80rJKDQR4mN0OpFrIsLfkzN2f8HxnGKkhHbKAaxAZQIrmghDO4Ux45p4xvequbVieRwagEEntPaOdeBj1PN70CS+LeyNwaPmJ+ryx8+qwwmcX2IXAHVqAHYBYNcAnFnAPjUJAC/WH84iI7+UUL+61xpmNxmBZv4BlAlIASgNQNFE0OkEk/q3w9PgWuRKiD0ZzMeod8ln4O2h54CuE7/KwXi4IDBC/Yx1JoIVlLooAOzns9oqCYBaNIDcYjMncosJc6GEQ3kNINUeGdVOCQAFSgAomimOZC3fOm6+DnyMeopNVsxWG0Z93QIj2MdYpwmowFUTUKU8gOpKQZfHkQtw4HSBSzV8wv09Sc/TnMDHsoow6nXOYyhaNkoAKJoljlDNuiKAHPgYDRSZLFpDGEPdfxYhvkayi0zYykXuVKbARROQMxHM3o+4umYw5QkP0G76JouNMBdMQBH+XhSarBSWWkjLKqZtsHedfgNFy0AJAEWzpL4agJeHniK7BuCKCSjYx4hNlj2tV0e+XQPwr0MD8NBXrwHUZgJy4IoJKLxcLkBqdpHKAFY4UQJA0Sxx1MdxXQPQBIDFJl3SABzO19ocwWUaQO2NVvSOMFB7FFBeiaMSaM1OYOc6agkBLRtvFwAFpRxTOQCKcigBoGiWODWAOrKAHfgY9c4br6saAFCrH8DlMNDKUUBFtWsAob5loZ8uOYHtJqPDZwrIKTIrB7DCiRIAimZJkP3mWVc/YAfeRr3T9OLpog8AILMWAZBfakEIrd9AbVTOBM4tNuPtoa9RE9HpBOH2G78rYaCOsVuOam0hlQagcKAEgKJZYtDrCPE1VmmoUhM+Rr2zY6IrGoCzIFwtAqCgxIKv0YCuDoerMxO4nACo6enfgeOp3hUNINjHiEEnnAJA1QFSOFCJYIpmy/s39KVNkGsOz/I9A+pjAqrVB1C+F0AtGCpFAbkkAPxdFwA6nSDMz5NDZ7Q+AO1ClBNYoaEEgKLZMrBjqMtjvcuZaVxxAnsb9Xh76GvXAFyoBAplJiBrPTSANkHeBHgZ8HbRyR0R4MmpvBL8vQx1HlvRclACQKGgYrSQhwuJYKCZgWr1AbjQCwAqmoBsNsmhM4UM7Vy78Lrv4s5M6N3GpXVCmcbQLtjHpczosyG9KJ1CcyExgXXXUlJcGCgfgJ0Zm2bwwvoXzvk4VpuVwzmHkbLmBKGakFKy9fRW0vLTznkddWG2VYxfLzAVkFmc2ejnvVAp/yTtihMY7MlgdWgAdeUAQMVEsG2pOWQUlDKqW0StcyIDvOgfHeLSOqEsF6CxHMA2aeOeZfcw+efJJGUlNco5zje5pbnuXkKj49IvXQgxTgiRJIRIFkJMq2a/pxBioX3/BiFEdLl9T9q3JwkhxpbbPksIkS6E2N0gV3IOLE1Zyud7P8dDd/aqsZSSNcfXcO3P13LdL9dxpvhMveZnlWRx3S/XccuSW5jwwwTe2voWReaieh1j55mdLNi/oMYfrsVmocSilQR4ecPL3P7b7Xx74FseX/U4I78aySe7PqnX+ZoT9fUBgBZqmlVUcyKYK93AoGIpiGX7TmPQCUZ2qV0A1Jdwe+5AY9n//0z9kwPZB7DarDy44kGySrIa5Tzni+ySbP72/d/4Yu8XFJoL6/232FSo85cuhNAD7wLjgR7AdUKIHpWG/QPIllJ2Bt4AXrHP7QFMAXoC44D37McDmG3f1uhYbBa2p2+vdl9mcSYvrH+BHqE9+Gf/fzrH14dThae48/c7uWfZPRSaC5mWOI0InwiklBwvOO7SMYI9g2nj14ZnBj3DuOhxfLLrEyb8MAGT1VTnmqw2K+/veJ+bfr2JFze8yKXfXMo7296pMu697e9xw+IbKDQX0jm4M6n5qTy77lnWHF/DxE4Tubzj5Wd1/c2B8j4AVwVAiI9HrU1hCktdEwA6ncAYtInjxXv4fe9pEmNCaqwEerY4NIC6cgCO5B45q5t3hG8EEzpNYNa4WWSWZPJH6h8AJGcn87/N/+PZtc+6/LuSUnIw+yAHsw9yvOA4eaa8eq/nXHlv+3vkm/LpE9mHKT9P4cUNL573NZwPXPEBJALJUsrDAEKIBcBEYG+5MROBZ+2vvwHeEZqhcSKwQEpZChwRQiTbj7dOSrmqvKbQmMzeM5t3tr3Df4b+hys6XeHcLqXkxQ0vUmAu4MWhL2LQGZizZw6/H/2dz8Z95pJGUGwp5p5l93Cy8CTTEqdxbZdr8dBr835I/oEX1r/A5G6TuaXHLUT6RlaZvyRlCZ0COxEbHMvrI18H4Nqu13Jt12uZt28eRr0WbfLIH4+Qmp/K8KjhDI8aTnRANDZpI9wnnFVpq3hv+3tc3vFyJnedzJf7v6TIUvbEkmfKY9eZXXyy6xOuir0KXw9frut2Hdd0uYYDWQeIDY51nue3lN94d/u7fHHZFwQYa++9e6GwLX0bsUGx+Bn96j3XbDNjtVkrmIBccQIDhPh6kl1LU5h8uxNYSlmr3X3TqU14tv6WJVnfkp/5DDcMHODy+k1WEy9tfAmjzsiTA5/Ubp45B+kc1BmdKLuO8j6A2tZxx9I7sEkbnYM68/GlHxPmHebSOnqG9uTFi7Sb5M9X/Uwr31asP7meO5feiV7osUorHQI6cFvcbTUeQ0rJ8mPL+WjnR+zL2ufcntgqkfdGv4envu6Ip/LYpI03t7xJqbWUexPuJdDTtV4SydnJfH3gayZ1mUTP0J6MjR7Lhzs/ZFDrQRXuH80BVwRAWyC13Ps0YGBNY6SUFiFELhBq376+0ty29VmgEGIqMBWgffv29Znq5Ppu17P+xHqeXvM0xZZiru16rbaY/DRWp63mvoT76BzcGYA2fm3YcWYHD614iFa+rTBZTfRv1Z8rO19Z7bG99F5c0ekKuod0Z3CbwRX2DY8aztjosczfN58F+xcwodMEHur7EMFewYCmOUz/azpD2gzhzYvfrDA3ISKBhIgE5/uhbYay9OhSPt/zObN2zwJgTIcxvD7ydUa2G8mssbMY0GqAc67DB7Hx5EbuX3E/Bp2BTkGdmJZYZsHz0HnQM6xnhfO29WvLsbxjvLThJV4a9lI9PmXXMNvMGITBeUO0SRs5pTkIhPNzqUyeKY8v9n7BL4d/4b6E+7is42XOfZ/u+pQ3t75JTGAMc8bNqfEY1bEqbRX/3fBfbo+7nV4BZcpoeQ2gyFzEbym/kZqfypA2Q+gT0Qe9ThMWIb4eFJRaKLVYq5SpllJSUGoh3baekV/dy5MDn2RcdPUKb7/IfthyhqELWo1nxK+M7n65S+s/U3SGh/94mJ1ndjpvvsk5yfx90d8JMAbQN6Ivw6KGcU2Xa7iocxj3XdyJwZ1CySjO4D/r/sONPW50/maySrJ4YtUTtPdvz8TOE9mbuZdQL9eiqObsmcOlHS6ltV9rAFr5tnJe15OJTzIuZhzPrX2Od7e/y8XtLiY6MNo5N8+Ux77MfQxsPRAhBF/u/5JCcyH/GvgvgryCKDIXMSxqWK03fykl3xz8huiAaOf1SCn53+b/8fnezxEIfj3yK6+OeJVBrQfVei1SSmZsnoGPhw/3JdwHwN2972bTqU38Z/1/yC7JZnK3yfUWRhcqF3wUkJTyI+AjgP79+9ffswr4ePjw7uh3eeSPR/jP+v/w/o73WfC3BbQLaMd3E7+jtW9r59gxHcZwW9xtfHPgG4yZRrwMXtzR647q1kVGcQbhPuHcHnd7tecN9Q7lv8P+y70J9zJ7z2y+O/gdKXkpfDb2M4QQvLrpVWzSxqP9H63zGiZ3m8zkbpPJN+Wz7sQ6Mooz6BykCS0hhPOH78Bxg23l24rhUcPZcnoL/xvxP7wNtduA48LimBo/lfd3vI+3wZup8VOdf9C1kVGcgUEYCPIKqnZ/al4qz61/jg0nN6AXeqbGT+XehHtJL0pnzDdj0AkdEztN5N6Eeyuc77Pdn/Hxzo/JN+fT2rc1T6x+glDvUAa2Hsjs3bN5c+ubDG07lHZ+7Qjy1M5ttpnZnbGbdSfWkZSVREZJBvMumwdoGpfJamJN2hp+TfmVLsFduKT9JRQUVXQCl1pL8dR7YraZeW7dc9ikjY93fUyIVwhjo8fyaP9HneUmsgvNtAqsKAAyiwowtvqGVTmbCfEKYWTUyCqfidlmJrskmwifCPTZEym1Coyhqzhj3k87+pJnyuO1Ta9xNO8o/SL7Mar9KOLC4sgtzeWnQz/x2e7PyDfn8/rI1xnTYQwAET4RvDD0Bbamb2XL6S38sf4P/I3+jI8Zz2NjtVaX7+6Yw4rUFaw+vpoXL3qR8THjmb17Nrmlubw3+j26hZS1xFx/cj2bTm3igT4PVPu9bj61mdc2v4ZBZ+CG7jdU2Oeh8+D67tcD8K9B/+K/G/7r1DRzS3N5a+tbfHvwW2zSxp+T/yTEK4RXhr9CsGewU8g6P8/iTGZum8mj/R+toul9tucz3tjyBqA97D3c72FWpa3i872fc1236/h77N95Y8sbRAdEAzBv3zxWpq4k0BiIn9EPXw9ffAw+3N/nftIK0tiWvo0H+jzgfJgw6AzMGDGDp9c8zYzNM8gpzeHBvg9SYCqgwFxAqFcoZpuZYksxRZYiWvm0wkPvQUpuCitTV7I3cy8Hsw/SM6wn/4j7Bx2DOlb7WboDVwTAcaBdufdR9m3VjUkTQhiAQCDTxbnnBU+9J2+OfJOZ22dypugMFqnZI9v5t6sy9pF+j/BIv0cqbJNS8smuT7ik/SVsPr2Znw79xKHcQ3z5ty/pENCh1nNH+Ufxr0H/4vKOl+Op90QIwdrja/n96O/cn3A/Uf5RLl+Hv9GfS6MvdXl8+4D2vDbiNZfHA9wZfydZJVl8e+Bbfj78M8snLcff6M83B74hvSidfpH9SGyV6BQyBaYCrvzxSkxWEzd2v5Hb4m7D3+jvPN78ffN5Y8sb6HV6bo+7HZ3QkRCeAECIVwjTEqeRmp/KV0lf8cvhXxgfM54XLtIisvZlaU+Hd/e+m5jAGL4+8DUDWg3g6wNf878t/2Ns9FheHvYyBp32U07KSuKmX2+i2FKMTuiIDogmJjDGeUP/5sA3bDi5AQ+dB/cl3Mftcbdj1BvZfHINxvClmDJG8cWBtzm2fR9zxs0h0DOQH6/8kTDvMNYcX8Pyo8v5OulrRkaNJNRXC3fMKCilVWBZgbavkr7i452f4hF4kiGhk3n3smkYdAbyTHk8v+554sPikUh2Z+xm/cn1/DDxBwx6HXlnRhMWcZDknGQApq2eRnpROl1DujJr9yxs0kZcWBwllhJe2fQKHQI68N7o9+ga0tV57kDPQCZ2nsjEzhOxSRt/X/R3Fh9ezPiY8c4xrXxb8ffYv5OSl8Ljqx4nqySLB/o+wKj2oyrc/AHWHl/LZ3s+o3tId0Z3GF1hX54pj1c3vUqIVwhXx15d628q3CecNy5+Ayklvx75lVc2vkJ2aTbXdrmWMR3G4O+h/V5qMjkdzTvKD8k/UGAuYMbwGc7f3rb0bbyx5Q3GRo8lzDuMefvm0SmoE1fFXsX0wdP5e+zf0QkdH4z5wHksgaDUUsqBwgMUmYsoMBcgkdyXcB/t/Nvx05U/EeJVMcIqwieCjy/9mI0nN9IpqBMAy44t45m/nqmy1kVXLiImMIY/0/7k9S2v09q3NR2DOvL70d/5M+1Plk9a7rIGcTD7ILHBsS6NPSuklLX+QxMSh4EYwAjsAHpWGnMf8IH99RTgK/vrnvbxnvb5hwF9uXnRwO661uD4169fP+kukrOTZf+5/WXc7DgZNztOXvH9FXLWrlnSarOe1fGGfjlUjv1mrCy1lDbwShuO4/nH5aLkRc73V/94tfP6b158s1yVukrabDYppZS/HPpFPvrHozJudpwcMn+IvH/Z/fJ04WkppZTvbXtP3rvsXnmy4GSd53tq9VNy8PzBMr0wXUoppcliqnbssbxj8r/r/ytN1or7P9rxkXx27bNyacpSmVOSU2We1WaVezP2yhP5Jyps/+/6V2Xc7DjZ46PhMm52nHxpw0s1fjepealSSil3pubIDk/8LL/bdlDe/fvdck/GHimllF/s/UJe/9OtsuNzb8oftqU55+1I3yGHzB/i/AzjZsfJVze+KqWUsv8Lv8sOT/wstxzVrvvDHR/Kcd+MkzvSd0gppSwwFcis4iwppZQ2m02eKTrj/Oxr40T+CWm2mqvdV2opldNWTZN/pf1V43yTxSQn/zRZDpk/RB7PP+7cnl2cLSctmiQTPk+QK4+trHMdDk4VnJJXfH+FvPana52fl6t8vPNjGTc7Tl7/8/Xy450fy2O5x6TNZpNfJX0lSywlUkopt6dvlxarpV7HPVtSclPkV0lfyfe3vy8/2fmJnL9vvvz+4PfO392ZojPO70xKKTOLM+W6E+uklNrv8M/UP6XNZpO5pbnykZWPyJTcFGmymuRza5+TR3OPyp8O/STjZsfV6/OtDmCzrOn+XtMOWfEGfxlwADgEPG3f9jwwwf7aC/gaSAY2Ah3LzX3aPi8JGF9u+5fAScCM5hv4R13rcKcAkFLKPRl75Mc7P5b7M/e79MdXE4WmQvnYH4/Jbae3NdzizgMllhJZbC6W8/fNl6O+GiXjZsfJZUeXVRizN2OvvH/5/fLKH66UB7IOSCmltFgt5/R5nQ9KzCbZ7Z2/y56fDpAL9yx2ac6vyStlzLPvyovnT5AJnyfI5UeXO/dtO5YtOzzxs1y+71SFOSaLSeaX5ssCU4EsMhc5tw/+7zKZ+OLvzs/JYrXIAlNBA1yZRqGpUOaX5sufD/1co0CoiZTcFJn4RaLs+3lf+dKGl6SUUj6z5hnZ9/O+8s/UP+t1rJySHLksZdlZ3aStNqv8bNdncvJPk2Xc7Dj5xd4v6n2MC4VfD/8q42bHyUdWPiInfj9RJnyeIJemLJXJ2cly6JdD5eB5g2Wfz/vI25bcVuNDkKvUJgCEPIuEJXfRv39/uXnzZncvQ4EWffLL4V+ICYyp4KxuynT91y+UWs1sfHIcEXW0TCwyFzH+u/FklWShw4N3LnmLYVHDnPv/Ss7ghk828NVdg0mMqTth6955W+jWKoAHL2l4dT8lN4Wbf72Z2OBYNp7ayNzxc+v9nR3OPcyC/QsI8w5javxU8k35JOck0yeiT4Ov1xVOF57Gy+DlcmTPhYbVZmXW7lm8u/1dfAw+vHHxGwxsrcXWpOWn8c8//0mxpZjPx31eo1/NVYQQW6SU/avbd8E7gRUXJka9katir3L3MhoUH6MHpUWuhYH6ePjw0kUvcd9v/6ajuKnCzR+0MhBQdztIB+/d0K/+C3aR9gHtCfUOZeOpjfSL7HdWArtjYEeeGviU872/0d9tN3+g2pDqpoRep+fO+DsZ2W4kvh6+tPErK+sR5R/Fgr8twCIt55Sc6gqqFIRCYceRDOZqItiQtkMYZHyZ7Kyq4ckFLraDPB/ohM4Z0jg1fqqbV6MoT2xwbIWbvwMhRKPf/EFpAAqFE0cymKsCALTaOsv3p2OzyQp1/wvs3cVc7Unc2IzuMJrlk5YT4dOwJSYUTRulASgUdhz1gFytBgoQFeKDyWIjPb9iSQiHBuDr6Vq55vOBuvkrKqMEgEJhx9uox6jX1atcsqO65rGsisXC8kstGA26KhnCCsWFhBIACoUdH2PNfXhroiYBUFBiwf8CMf8oFDWhBIBCYcfHqK+X+QegbZA3QkBqZQHgYjcwhcKdKAGgUNjx8zTg5VE/k43RoKN1gFcVAeBqKWiFwp2oX6hCYeeuEZ24oh5tFh20C/Gp6gNwsRmMQuFOlAagUNjpFO7HsNjwes9rX40AcLUdpELhTpQAUCjOkXYhPqTnl1Jitjq3FZRaLpgcAIWiJpQAUCjOEUckUFp2mRbgaj9ghcKdKAGgUJwj7aoJBc1XUUCKJoASAArFOeLMBcjUBECpxYrJYlN5AIoLHiUAFIpzJMzPiLeHntTsYgAKSzVfgDIBKS50lABQKM4RIQTtQrydJqB8eyE4P6/Gr+aoUJwLSgAoFA1A+xAfUrOKkFLy6pIkhIBurfzrnqhQuBElABSKBqCdXQC8syKZX3adZNq4bsS1bZrdqhQtByUAFIoGoF2wD4UmK//7/QBX9WnL1OEd3b0khaJOlABQKBoARyRQ76hAXrq6V71KSisU7kKFKSgUDcCgTqHcOiSae0Z2qndBOYXCXSgBoFA0AH6eBp6d0NPdy1Ao6oUyASkUCkULRQkAhUKhaKG4JACEEOOEEElCiGQhxLRq9nsKIRba928QQkSX2/ekfXuSEGKsq8dUKBQKReNSpwAQQuiBd4HxQA/gOiFEj0rD/gFkSyk7A28Ar9jn9gCmAD2BccB7Qgi9i8dUKBQKRSPiigaQCCRLKQ9LKU3AAmBipTETgTn2198AlwgtDm4isEBKWSqlPAIk24/nyjEVCoVC0Yi4IgDaAqnl3qfZt1U7RkppAXKB0FrmunJMAIQQU4UQm4UQm8+cOePCchUKhULhChe8E1hK+ZGUsr+Usn94eP3b9SkUCoWielwRAMeBduXeR9m3VTtGCGEAAoHMWua6ckyFQqFQNCJCSln7AO2GfgC4BO0mvQm4Xkq5p9yY+4BeUsq7hRBTgKullNcKIXoC89Fs/m2A5UAsIOo6Zg1rOQMcPZsLBcKAjLOc21RpidcMLfO6W+I1Q8u87vpecwcpZbXmkzozgaWUFiHE/cBvgB6YJaXcI4R4HtgspVwEfArMFUIkA1lokT/Yx30F7AUswH1SSitAdcd0YS1nbQMSQmyWUvY/2/lNkZZ4zdAyr7slXjO0zOtuyGuuUwNoLqgfSsuhJV53S7xmaJnX3ZDXfME7gRUKhULROLQkAfCRuxfgBlriNUPLvO6WeM3QMq+7wa65xZiAFAqFQlGRlqQBKBQKhaIcSgAoFApFC6XZC4CWUnVUCNFOCLFSCLFXCLFHCPGQfXuIEOJ3IcRB+//B7l5rQ2MvMLhNCPGz/X2MvSptsr1KrdHda2xohBBBQohvhBD7hRD7hBCDm/t3LYT4P/tve7cQ4kshhFdz/K6FELOEEOlCiN3ltlX73QqNt+3Xv1MI0bc+52rWAqCFVR21AP+UUvYABgH32a91GrBcShmLlojXHIXgQ8C+cu9fAd6wV6fNRqtW29x4C1gipewG9Ea7/mb7XQsh2gIPAv2llHFo+UNTaJ7f9Wy06snlqem7HY+WXBsLTAXer8+JmrUAoAVVHZVSnpRSbrW/zke7IbSlYqXWOcCVbllgIyGEiAL+Bnxify+AUWhVaaF5XnMgMBwtARMppUlKmUMz/67REle97dUJfICTNMPvWkq5Ci2htjw1fbcTgc+lxnogSAjR2tVzNXcB4HLV0eaEvSFPH2ADECmlPGnfdQqIdNe6Gok3gccBm/19KJBjr0oLzfM7jwHOAJ/ZTV+fCCF8acbftZTyOPAacAztxp8LbKH5f9cOavpuz+ke19wFQItDCOEHfAs8LKXMK79PajG/zSbuVwhxOZAupdzi7rWcZwxAX+B9KWUfoJBK5p5m+F0Hoz3txqDVFfOlqpmkRdCQ321zFwAtquqoEMID7eY/T0r5nX3zaYdKaP8/3V3rawSGAhOEEClo5r1RaLbxILuZAJrnd54GpEkpN9jff4MmEJrzdz0aOCKlPCOlNAPfoX3/zf27dlDTd3tO97jmLgA2AbH2SAEjmtNokZvX1CjYbd+fAvuklK+X27UIuMX++hbgx/O9tsZCSvmklDJKShmN9t2ukFLeAKwErrEPa1bXDCClPAWkCiG62jddglZwsdl+12imn0FCCB/7b91xzc36uy5HTd/tIuBmezTQICC3nKmobqSUzfofcBla6elDwNPuXk8jXudFaGrhTmC7/d9laDbx5cBBYBkQ4u61NtL1jwR+tr/uCGxEa0H6NeDp7vU1wvUmAJvt3/cPQHBz/66B54D9wG5gLuDZHL9r4Es0P4cZTdv7R03fLVpp/Xft97ddaFFSLp9LlYJQKBSKFkpzNwEpFAqFogaUAFAoFIoWihIACoVC0UJRAkChUChaKEoAKBQKRQtFCQCFQqFooSgBoFAoFC2U/wcRe/0EjNfzxQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_tracks(raw_bias, raw_mot_bias, pred_wo_motif_w_bias, pred_w_bias, pred_unplug_bias)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The corrected footprint looks much cleaner than uncorrected."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### CTCF Motif"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32/32 [==============================] - 0s 14ms/step\n",
      "32/32 [==============================] - 0s 14ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n"
     ]
    }
   ],
   "source": [
    "raw_bias, raw_mot_bias, pred_wo_motif_w_bias, pred_w_bias, pred_unplug_bias, wo_mot_w_bias_cts, w_mot_w_bias_cts \\\n",
    "    = profiles_for_motif(model, model_bias, test_nonpeaks_seqs[:1000], \"CCCCGGCGCCCCCTGGTGGC\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.4224176"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.median(w_mot_w_bias_cts - wo_mot_w_bias_cts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_tracks(raw_bias, raw_mot_bias, pred_wo_motif_w_bias, pred_w_bias, pred_unplug_bias, 400, 600)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Other Motif"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32/32 [==============================] - 1s 14ms/step\n",
      "32/32 [==============================] - 0s 14ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n",
      "32/32 [==============================] - 3s 91ms/step\n"
     ]
    }
   ],
   "source": [
    "raw_bias, raw_mot_bias, pred_wo_motif_w_bias, pred_w_bias, pred_unplug_bias, wo_mot_w_bias_cts, w_mot_w_bias_cts \\\n",
    "    = profiles_for_motif(model, model_bias, test_nonpeaks_seqs[:1000], \"TTGGCCCTGAGCCAA\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.1357212"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.median(w_mot_w_bias_cts - wo_mot_w_bias_cts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_tracks(raw_bias, raw_mot_bias, pred_wo_motif_w_bias, pred_w_bias, pred_unplug_bias, 400, 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Predict and metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "514/514 [==============================] - 7s 14ms/step\n"
     ]
    }
   ],
   "source": [
    "test_peaks_pred_bias, test_peaks_pred_bias_cts = model_bias.predict(test_peaks_seqs, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "514/514 [==============================] - 47s 92ms/step\n",
      "514/514 [==============================] - 47s 91ms/step\n"
     ]
    }
   ],
   "source": [
    "test_peaks_pred_w_bias, test_peaks_pred_w_bias_cts = model.predict([test_peaks_seqs,\n",
    "                                                test_peaks_pred_bias,                                                           \n",
    "                                                test_peaks_pred_bias_cts],\n",
    "                                                verbose=True)\n",
    "test_peaks_pred_unplug_bias, test_peaks_pred_unplug_bias_cts = model.predict([test_peaks_seqs,\n",
    "                                                     np.zeros((test_peaks_seqs.shape[0],OUT_LEN)),\n",
    "                                                     np.zeros((test_peaks_seqs.shape[0], 1))], verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predictions on non-peaks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "514/514 [==============================] - 7s 14ms/step\n"
     ]
    }
   ],
   "source": [
    "test_nonpeaks_pred_bias, test_nonpeaks_pred_bias_cts = model_bias.predict(test_nonpeaks_seqs, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "514/514 [==============================] - 47s 91ms/step\n",
      "514/514 [==============================] - 47s 91ms/step\n"
     ]
    }
   ],
   "source": [
    "test_nonpeaks_pred_w_bias, test_nonpeaks_pred_w_bias_cts = model.predict([test_nonpeaks_seqs,\n",
    "                                                test_nonpeaks_pred_bias,                                                           \n",
    "                                                test_nonpeaks_pred_bias_cts],\n",
    "                                                verbose=True)\n",
    "test_nonpeaks_pred_unplug_bias, test_nonpeaks_pred_unplug_bias_cts = model.predict([test_nonpeaks_seqs,\n",
    "                                                np.zeros((test_nonpeaks_seqs.shape[0], OUT_LEN)),                                                           \n",
    "                                                np.zeros((test_nonpeaks_seqs.shape[0], 1))],\n",
    "                                                verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SpearmanrResult(correlation=0.8096928515959751, pvalue=0.0)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# peaks + nonpeaks performance\n",
    "scipy.stats.spearmanr(list(test_peaks_pred_w_bias_cts.ravel()) + list(test_nonpeaks_pred_w_bias_cts.ravel()), np.vstack([test_peaks_cts, test_nonpeaks_cts]).sum(-1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SpearmanrResult(correlation=0.6466083452684969, pvalue=0.0)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# within peaks performance\n",
    "scipy.stats.spearmanr(test_peaks_pred_w_bias_cts.ravel(), test_peaks_cts.sum(-1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 225,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (5,5)\n",
    "\n",
    "x=np.log(1+np.vstack([test_peaks_cts, test_nonpeaks_cts]).sum(-1))\n",
    "y=list(test_peaks_pred_w_bias_cts.ravel()) + list(test_nonpeaks_pred_w_bias_cts.ravel())\n",
    "\n",
    "from scipy.stats import gaussian_kde\n",
    "\n",
    "xy = np.vstack([x,y])\n",
    "z = gaussian_kde(xy)(xy)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.scatter(x, y, c=z, s=1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_jsd(preds, cts, min_sum=10):\n",
    "    return np.array([scipy.spatial.distance.jensenshannon(x,y) for x,y in zip(preds, cts) \\\n",
    "                     if y.sum()>min_sum])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3803903644506283"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# predicted w/ bias\n",
    "np.median(get_jsd(softmax(test_peaks_pred_w_bias.squeeze()), test_peaks_cts))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4875024019572345"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# just bias\n",
    "np.median(get_jsd(softmax(test_peaks_pred_bias.squeeze()), test_peaks_cts))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5947514619634842"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# predicted w/o bias \n",
    "np.median(get_jsd(softmax(test_peaks_pred_unplug_bias.squeeze()), test_peaks_cts))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7202714723274176"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# permuted\n",
    "np.median(get_jsd(softmax(test_peaks_pred_w_bias.squeeze())[:,np.random.permutation(OUT_LEN)], test_peaks_cts))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Empricially we've observed that, in general, for ATAC-seq the just bias JSD is lower (i.e. better) tha predicted w/o bias."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizing Individual Loci"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**On peaks**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fdcd074e0d0>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (15,3)\n",
    "IDX = 2822\n",
    "\n",
    "# plt.plot(softmax(test_peaks_pred_bias)[IDX,], c='g', label='bias only', linewidth=0.6)\n",
    "plt.plot(softmax(test_peaks_pred_w_bias)[IDX,], c='r', alpha=1, linewidth=.3, label=\"peak model w bias\")\n",
    "plt.plot(softmax(test_peaks_pred_unplug_bias)[IDX,], c='k', label=\"model bias unplugged\")\n",
    "\n",
    "# obs_pred = scipy.ndimage.gaussian_filter1d(softmax(test_peaks_pred_w_bias)[IDX,], 2)\n",
    "# plt.plot(obs_pred/obs_pred.sum(), c='r', alpha=1, linewidth=.3, label=\"Obs pred\")\n",
    "\n",
    "# obs_smooth = scipy.ndimage.gaussian_filter1d(test_peaks_cts[IDX,], 2)\n",
    "# plt.plot(obs_smooth/obs_smooth.sum(), c='b', alpha=1, linewidth=.3, label=\"Obs smoothed\")\n",
    "# plt.plot((test_peaks_cts[IDX, ]/test_peaks_cts[IDX].max())*np.max(softmax(test_peaks_pred_w_bias)[IDX]), c='b', alpha=0.4, label=\"Read pileup\")\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In general, the unplugged track (without bias) should be much smoother than predicted track with bias."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**On non-peaks**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fdcd0787ed0>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (15,3)\n",
    "IDX = 2004\n",
    "\n",
    "plt.plot(softmax(test_nonpeaks_pred_w_bias)[IDX, ], alpha=0.4, label=\"bias model\")\n",
    "plt.plot(softmax(test_nonpeaks_pred_unplug_bias)[IDX, ], c='k',label=\"peak model bias unplugged\")\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It should mostly be a flat-ish line since bias should account for most of the counts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
