[090c8c]: / examples / SNAREseq_SCOT_alignment.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Notebook for running SCOT on SNARE-seq Cell Mixture Data\n",
    "\n",
    "**Access to the raw dataset:** Gene Expression Omnibus accession no. GSE126074. \n",
    "SNARE-seq data in `/data` folder containes the version with dimensionality reduction techniques applied from the original SNARE-seq paper (https://www.nature.com/articles/s41587-019-0290-0). Namely, PCA for gene expression (scRNA-seq) domain with 10 components, and LDA with 19 topics for chromatin accessibility (snATAC-seq) domain using cisTopic package in R. Below, we replicate our results for the SNARE-seq dataset reported in [\"Gromov-Wasserstein optimal transport to align single-cell multi-omics data\"](https://www.biorxiv.org/content/10.1101/2020.04.28.066787v2). \n",
    "\n",
    "\n",
    "If you have any questions, e-mail: ritambhara@brown.edu, pinar_demetci@brown.edu, rebecca_santorella@brown.edu  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.insert(1, '../src/')\n",
    "from scot import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dimensions of input datasets are:  X=  (1047, 19)  y=  (1047, 10)\n"
     ]
    }
   ],
   "source": [
    "X=np.load(\"../data/scatac_feat.npy\") \n",
    "y=np.load(\"../data/scrna_feat.npy\")\n",
    "print(\"Dimensions of input datasets are: \", \"X= \", X.shape, \" y= \", y.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "It.  |Err         \n",
      "-------------------\n",
      "    0|1.758021e-03|\n",
      "   10|4.650066e-04|\n",
      "   20|5.551472e-05|\n",
      "   30|1.489434e-05|\n",
      "   40|4.868141e-06|\n",
      "   50|1.787543e-06|\n",
      "   60|7.141842e-07|\n",
      "   70|3.011861e-07|\n",
      "   80|1.308225e-07|\n",
      "   90|5.766123e-08|\n",
      "  100|2.559230e-08|\n",
      "  110|1.139643e-08|\n",
      "  120|5.083008e-09|\n",
      "  130|2.268915e-09|\n",
      "  140|1.013200e-09|\n",
      "  150|4.525532e-10|\n"
     ]
    }
   ],
   "source": [
    "# initialize SCOT object\n",
    "scot=SCOT(X, y)\n",
    "# call the alignment with l2 normalization \n",
    "# A few hyperparameter combinations yield the best result (FOSCTTM ~0.149) and one of them is the following:\n",
    "X_new, y_new = scot.align(k=110, e=1e-3,  normalize=True, norm=\"l2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Evaluate results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average FOSCTTM score for this alignment with X onto Y is:  0.14963585296056656\n"
     ]
    }
   ],
   "source": [
    "import evals \n",
    "\n",
    "# We will use the average FOSCTTM measure implemented in evals.py for evaluation (metric used in the publication Demetci et al 2021)\n",
    "# This measure reports the fraction of samples closer to a sample than its true match (FOSCTTM), averaged over all samples. \n",
    "fracs=evals.calc_domainAveraged_FOSCTTM(X_new, y_new)\n",
    "print(\"Average FOSCTTM score for this alignment with X onto Y is: \", np.mean(fracs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1316ce7c0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plotting sorted FOSCTTM to show the distributions of FOSCTTM across cells:\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "legend_label=\"SCOT alignment FOSCTTM \\n average value: \"+str(np.mean(fracs)) #Put average FOSCTTM in the legend\n",
    "plt.plot(np.arange(len(fracs)), np.sort(fracs), \"r--\", label=legend_label)\n",
    "plt.legend()\n",
    "plt.xlabel(\"Cells\")\n",
    "plt.ylabel(\"Sorted FOSCTTM\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Visualize Projections"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x131780c10>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from sklearn.decomposition import PCA\n",
    "\n",
    "#Reduce the dimensionality of the aligned domains to two (2D) via PCA for the sake of visualization:\n",
    "pca=PCA(n_components=2)\n",
    "Xy_pca=pca.fit_transform(np.concatenate((X_new, y_new), axis=0))\n",
    "X_pca=Xy_pca[0: 1047,]\n",
    "y_pca=Xy_pca[1047:,]\n",
    "\n",
    "#Plot aligned domains, samples colored by domain identity:\n",
    "plt.scatter(X_pca[:,0], X_pca[:,1], c=\"k\", s=15, label=\"Chromatin Accessibility\")\n",
    "plt.scatter(y_pca[:,0], y_pca[:,1], c=\"r\", s=15, label=\"Gene Expression\")\n",
    "plt.legend()\n",
    "plt.title(\"Colored based on domains\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1123830a0>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot aligned domains, samples colored by cell types:\n",
    "cellTypes_atac=np.loadtxt(\"../data/SNAREseq_atac_types.txt\")\n",
    "cellTypes_rna=np.loadtxt(\"../data/SNAREseq_rna_types.txt\")\n",
    "\n",
    "colormap = plt.get_cmap('rainbow', 4) \n",
    "plt.scatter(X_pca[:,0], X_pca[:,1], c=cellTypes_atac, s=15, cmap=colormap)\n",
    "plt.scatter(y_pca[:,0], y_pca[:,1], c=cellTypes_rna, s=15, cmap=colormap)\n",
    "# plt.colorbar()\n",
    "cbar=plt.colorbar()\n",
    "\n",
    "# approximately center the colors on the colorbar when adding cell type labels\n",
    "tick_locs = (np.arange(1,5)+0.75) *3/4 \n",
    "cbar.set_ticks(tick_locs)\n",
    "cbar.set_ticklabels([\"H1\", \"GM\", \"BJ\", \"K562\"]) #cell-type labels\n",
    "plt.title(\"Colored based on cell type identity\")\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Compare alignment visualization with the original domains *before* the alignment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13079be80>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "originalX_pca=pca.fit_transform(scot.X)\n",
    "originaly_pca=pca.fit_transform(scot.y)\n",
    "\n",
    "#Visualization of the global geometry\n",
    "fig, (ax1, ax2)= plt.subplots(1,2)\n",
    "ax1.scatter(originalX_pca[:,0], originalX_pca[:,1], c=\"k\", s=15)\n",
    "ax1.set_title(\"Chromatin Accessibiliy Domain \\n *before* Alignment\")\n",
    "ax2.scatter(originaly_pca[:,0], originaly_pca[:,1], c=\"r\", s=15)\n",
    "ax2.set_title(\"Gene Expression Domain \\n *before* Alignment\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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C+KJ+wjvfn2n0DHR4ZuW3xWw4mMXACGY+O90k/M0YN6DHDhD/JxgtljVe3vdgfEKMBoN+lr3wd+9/nYj8ZzQKl8XYumnrZlZibWdZeiAiF2MWDA8f77JYLOnYupl92JGIBRGZKiIHi/HQtzPGudD9410ui8XWzexnh9LOsvRJEOOZbw5mE9rfMFMdFst4Y+tmlmOnsywWi8UybOx0lsVisViGTVZPZ5WVlens2bPHuxiW7ZTly5fXqmr5WOdr6/WOwUD161gRrR1MOvC4qg6kxTZuZLUQmT17NsuWLRvvYli2U0Rk3Xjka+v1jsFA9asWGEwtEGNSJmux01kWi8ViGTZWiFgsFotl2FghYrFYLJZhY4WIxWKxWIaNFSIWi8ViGTZWiFgsFotl2FghYrFYBsR1E7RHNxJPNI53USxZRlbvE7EMTMqNI+LDEd94F8WynZJINrN64024bgzFZXLJkZQVHzTexbJkCXYkMkFRTbFu8528v/Yq3lvzM7bWPTXeRZqwiMifRKRaRN7u47qIyB9EZJWIvCkii9OuHSsi//WuXT52pR47ttY/TTLViqtxVJNU1z9NMtU+3sWyZAlWiExQ6puX0RpZifHKqdQ2PU9ja6/fQMvA3EL/zpGOAxZ4fxcC1wGIiA+4xru+G/BpEdltVEs6DqRSrWR4fxXBdUfLL5RlomGFyAQlGqumu1vnuqaXxqcwExxVfRao7yfIyRjPfKqqLwPFIjIV2A9YpaqrPa+Bf/PCbleUFO5LhxdbwUcoUEbAXzzOpbJkC3ZNZIKSH55DY2umF06fkztOpdnumQ5sSDuu8s71dr5Xd6oiciFmFMPMmTNHp5SjRGHezsyo+BRNrW8R8BVRVnIwIjLexbJkCVaITFCK8nenrmk5kdhaQBDxUVH6kfEu1vZKb19M7ed8z5OqNwA3ACxZsmTCOfEpCM+nIDx/vIthyUKsEJlIqEJVFQQC1OauIRLrMBKq+J1CgoHScS3edkwVMCPtuBLYhPG619t5i2WHwa6JTBSSSdzjjsZdMI/I4XtSveUx0ju9iVQD9U2vjl/5tm8eAs7xtLQOAJpUdTPwGrBAROaISBA40wtrseww2JHIROE3v0GeeBJRCNS0IvVtaEVhWgAlkWwbt+JNZETkTuAIoExEqoAfAQEAVb0eeBQ4HlgFtAPne9eSInIJ8DjgA/6kqu+M+Q2ME/FkE82t7+I4AYrzF+E4wfEukmUcsEJkIqCKXnVV58DD19BOyUNvUXfBQZC2wCky4abaswJV/fQA1xX4ch/XHsUIme0SVZctdU/R1LoCn5NLSeHetEXWkkg0E0tWe6F81De9ytzKC3HEflJ2NOwbnwhEo0hzc+ehAMH1DZB0IdC1U72+eRkBfxFlxQfRFllLJLaJnNAU8nPnjkOhLdsDNQ3PU9/8EqCk3Ha21j/ZS6gUsUQ96zffQSg4mfKSQ/H78npNz8hjrHbXdoQVIhOA+L8fI9DR+DADkrwXViOJFBpIN3fisrX+aYQAWxv+haqLiOOZqThwPIpumeC0tL9HHwpn3UjRFl1DW3QdLe3vM7/yyzhOICNEU+s7bKp5CFcTFOUtZPrkUxCxy7ITHfsGsxzXTZC67GsIXfqkAoTW1TP77L+Q9+wq/BsbjeYWACm21D+KagJIoZqgpvHZcSm7ZeIT8A9V488lmWojEtuScbax5U2qqu/F1TigNLe/T51VBNkusEIkm2ltJXntbwl+WJ1xukNchN/cyKzz/0rlJXdDItVnMtLrdgaLpW9SqRhrNt5KS/vKIcdVTdLQvKzzuKX9AzbVPET6iEY1SSy+dSSKahln7HRWthKJwJIlBNavh0i8x2V1BHEVAVJTCnFiSdxgb6/ToaL0Y6NeXMv2g6ry3/W/xVhyGR5NbW8x1T0enxOioXk5SvdOjp/88LxtK6glK7AjkWzlmWdg0yYkEulcBwFwBVLFOcSndqn35v6nymhpaebcteBjWvmJlBTuPXbltkx4Wto/2CYBYlBiCWOOzOfLp/unpqz4IArzFm5jHpZswAqRbCUQ6CEUUiE/7UtmEp9RyuafnkBsziTWXXsGWy//GHn/Xpmh7utILlPKjqOkYK+xLrllAhNPNLNh690jktaajTfQ0LycipIjCfgKcCSIiJ/JJR+lovRIq6G1nWCns7KVI4+E3XZDX321c1FdBNr3m010QTnJikK2fPsjVF72AIggiRRba1qpP+8AHAlSWfEJCsI7jfddWCYIqko8UcuGrfcA7oilu7nuMQrydmX+jEuIJWrw+8IE/EUjlr5l/LFCJFvx++Gyy+C00zpPOdEkZdc/h7gKjmNGKq7Sevh86j+zL77GCMSTuEFIJJr7Sdxi6UJVqaq+h+a29xlJAQIgOKRS7fiDYXJDU0c0bUt2YIVINnPvvRl6VQo4KW+KK2Uae+tBc9lwzafQ3AAkU0a4ADWNz1NatGRsy2uZUMTi9WzY+ndiia0Mbi/I0PH58ggGSkYlbUt2YNdEsplIJOOwQ6CkN/emExYaAQLg94FjQiVTTfx33W9pj24c/XJaJhyJZAurqq4hltjCyAqQAHROwDpMLTsR4wDSMlqISGva7+NFZKWIzBSR80SkRkRWeH8XpIWbKSJPiMh7IvKuiMz2zt/uuXt+23MbHeiZYyZWiGQzX/4yhMMAuOLrauriOcUV8NW29blHJJlqYd2Wv6I6slMUlonPaExdGRJ0uGwGl4Zmu6FwrBCRjwD/Cxyrquu903ep6l7e301pwW8Ffq2qu2I8dHZsRrsd2AXYA8gFLmAARmQ6S0SOBa7GWDK9SVWv6iPcvsDLwKdU9Z6RyHu75qMfhcceo/3aO2nY+i7hwnqCG5sIvruZyAFzSE3Ko/mEhRn2s7qjmiDlRvq0ZWTZMYnFqwcONALYDszYICKHAjcCx6vqhwOE3Q3wq+q/AFS1cyTjGRTtCPcqxkdOv2zzSETMWPUa4DhgN+DTXiF7C/dLjNlsy0C89x7cdBMkkzjv/ZNpS5+l+B9vk/v2Jmq+cRThZeuIlxfgtMTMWkgf+JwwPic8hgW3TARCwcn07phxJBHKSw4d5Tx2CMpEZFna34XdroeAB4FPqOr73a6dKiJvisg9ItLhQG0noFFE7hOR10Xk19JtztGbxvos8M+BCjcSI5H9gFWqutrL/G/AycC73cJ9BbgX2HcE8ty+efJJOPFESCYhmSSE19wVJJai4nfP8P6yy8wmxIAPfH33BcI5M60+vqUHRfm7UdOwlJQbZXSmtQAUR3JQVVsHt41aVe1PSyYBvAh8Hvha2vl/AHeqakxELgL+AhyF+e4fCuwNrAfuAs4Dbk6Ley3wrKo+N1DhRmJNZDqwIe24yjvXiYhMB04Brh8oMRG5sEPi1tTUjEDxJiBf/SpEo0aI0LO/6EQSkBNAcwL9ChCA9uj6fq9bdkz8vjzmV15MScFihj8iGbgPunrTjazZ9CdcNznMPCyDwAXOAPYVke91nFTVOlWNeYc3Avt4v6uA11V1taomgQeAxR3xRORHQDnwzcFkPhJCpLca2F3d4/fAd1S173mXjoiqN6jqElVdUl5ePgLFm2BEo7BqVcap3nRnpH1wZimSqTYSyZYRKJhle6Ch5Q1Wrv9fVm24jsbWt2hsXcHwtbMGFgyqCSKxTdaS9Cijqu3ACcDZIvJ5ABFJ35hzEvCe9/s1oEREOj6wR+HNHHkaXMcAn9ZBLmiNxHRWFTAj7bgS2NQtzBLgb96Qtgw4XkSSqvrACOS//eC6cOqpkEj0G0wDDqHVtUR3nzaYRKlvfpWK0o+MTBm3QwZSDBGRS4GzvUM/sCtQrqr1IrIWaAFSQHKAaYdxpS2yls21j3huAmBr/b8Y+f0hwpRJx1Nd/y/P7DuAS23j8+QEp1KYt8uAU1vJVITGlhWAS8qNUdf0EgDlxYfZNZZ+8OrjscCzIlILHCAiJ2GkfT1mygpVTYnIt4GnxLyM5ZiRCpjZonXAS957uk9Vf9JfviMhRF4DFojIHGAjcCZwVrebm9PxW0RuAR62AqQXLrsMHu+pd5BugBFAEi5zzvwzq++9gNjOFQMmazVk+iZNMeRjmA7RayLykKp2rump6q+BX3vhTwS+oar1ackcqaq1Y1jsYdEeXY+ZvejAoUMVd2QQJpccRSS2MU2AdGB2xYPi9xUwa8pZ5IR61t2UG+PDqutJpdpQXNJrfk3jc4RzKsnLndMj3o6Mquan/d4AdDygB4Hv9hHnX8CiXs4PWSZs83SWN6d2CUbr6j3gblV9R0Qu8hZzLIPl1lsh1fuMX7pDKgEkmqDw4bdBFYkl+9DQ8uFIiNLCfXq5ZvHoVAxRY7q2QzGkLz4N3DkmJRthQoEyJMMHunqq30P5bvQ+ivD7jFXp6oZnaGp9o4+4RigkU82s23J7ryFa21eRcqOe6fhuoyRVovEddJ00ixmRfSKebvGj3c71uoiuqueNRJ7bJZMmQT/KBBkmUPw+1O9Q+eW7KPzXf8ERtl76UeouOAiAorw9yM2ZRkHergStwbv+6E0xZP/eAopIGDgW02nqQIEnRESB/1PVG0aroNtKQd6ulMQ2UN/0CqAIQjLVhuAf1KSWiL/bSMbg9xWSTLXQtclwYJKplk73zZl5+HqMvNMuEs4ZcNuCZYyxO9azib/8BfI7R6Y9GlLnPuCQHzfkQ0UoePZD45wq6TL5d08Ten8Lc6dfSGXFJ5lUdECnAHHdBE2tb9PStpJB6DfsSAxGMaSDE4EXuk1lHayqizH7pL4sIof1mkkWaB2KCFMnHeNZdxavt++iDEZJQ5hUdCA9PxlCTnAKfT8yH5MKDyAvdx7S2WcVQsHJvfpXzwlOwWxREAQ/fl8+AX8JAX8J08tPJjc0mHVAy1hiDTBmE/vtB7/4BVx6KUSjqM/pNLTYMY2lAK7iJF38DW1IpGsRXv0+gusb2Fz7OHOnn9d5PhavZ1XVteB5lwv4S5hf+SUcx75+BqcY0sGZdJvKUtVN3v9qEbkfMz3WQxXJG6HcALBkyZLRsXY4CFw3SVtkLUNdUN951rfw+/JwJEBN43NedKWy4jSSyRZaIx9khBd8hIIVTJl0NHm5s3DdJJvrHqUtsppQoIxp5T1nDF03zppNfyLlRujoMk0vP4X88Nxh3q1lLLBfkWxjr71QxxMartujmyyAJFJoUgiv2IjmBJCoJ0hcJbJoOsnYOt5b+0umlB5DSeFebKj+O6S5J00kG2hqfct6PDQMqBgCICJFwOHAZ9LO5QGOqrZ4v48G+tVkGW8aWpbhav/af90JBSpIJJqIxaspKVxCfng+iWQjuaHpBPyFtEc3YUYoHQv0PuZWfoGcYNfCueP4mV5+Uka6iWQzTa1vAQ4lBXsRjVfjuvHOdJQUze3vWSGS5VghkmVE9p1P85cOYfL/e7LfzqKo4kQSbPzlyZRd/xyaE2DLD44lOcUscLpulM11j5Ibmkoq1dYjvtmpbFHVpIh0KIb4gD91KIZ41zvW9k4BnlDV9IdZAdzvqUL6gTtUdUAzEeOJ2TPUXRvL6eUc5D23ivznPqT56F1YvaQaR4Igwpxp51OYtyttkbU0t71HQ/PyjPgiQigwecByrKq6DteNIyLUN71CZcXpGb7YBR9+X34/qViyAStEsoxEsoHWYxdR/oenceJ9q166IT9NJ+1B88cX0nzC7r2GEYRYopri/L2obXou40pRvvVv3cFgFENU9Rbglm7nVgN7jnLxRpTCvF2pb37N2ysiOBKguGAxDS3LMhbNAyurCS9bT2x+OZG9KgHF1RgobKl9nPzwfKobngF1Mz78gLfmpvS3E76p9W3UTQAuqpByIySTTZQW7k998yuAEAyUMqnogCHfY3X9v6ltegERxxuN2xH3aGKFSJaR+2Ezs0/6I5ImQBRoPnZXogunkvt6FXkvr6H6G0dSf/6BxmeuKoiPgK+ERKqejiGMqylyglMozNsdHB9Nza/j84WZPvkTBPyF43ODlnFBVWloeZ3ahmc9W1Y55OfMYkrZMYg4NLQsy4wQ9FNo+ugxAAAgAElEQVR78aHGtI5mDolTbjs1DUs7Ny32khvrttzBzCmfxunDl4gjfroLGRE/UyZ9lElF+5JyY55K8tB0f1raPqC26QVUE6ga97y5OdMyptYsI4sVIlmAqrK59jEaW/6DBJJM228WRUtXdl0POKjPofaLh0BKTaMO+Tsigwi5oUpUEyRSXQqS4ZxKgoEy/tHaypuphexVupiP5+dbY3g7IPXNr7Gl7nE61xs0SWt0NSIBAv58ppefSlX1XZ3hE9OKulwMiBgFD58DOETjWwbMrz26jvqm1ygr7n0kUVSwiLqml0mmjBXyULCC/PA8AAL+Igb0hNQH0fjWjBGVIMTiNVaIjCJWiGQBja1v0Ni6AiWFE4mQv2x9xmSAk3ApfOoDalfXElswGaclSunNL1J39r5oYQ4kUkToaWixPbqOX1av4Z52IaLKAyKsSST4SmnpmN6fZfxpbHmd7useqgnWbv4L8yu/RDLVhFkS8qam0g17plyCrQ7BKQtojaweVH6qSRLJhj6v+5wQ8yovoi2yGsSHIwE+3HgDrhujtHA/yooPGtoNeuTmTPf2s5hRkqKeCrJltLD7RLKAaGxLZ6XPe2kNkkj1mE1WR5Co6WH5GiOU//Zp01MU6eoxas+V+HvbEkS88xFV7mxuHrX7sGQXLW0fsH7LnWys+QeOk9trmHiiHteNkUg2ka7Bh+NHcHBSDj4nh1m7f4X88Hwko2Yaiwi9fUZE/BSEd+63fI4ToCBvZ3JDU1m/5Q5i8WoSySaqG5bS1PrO0G8YyM+dy5TSo/H7Cgj4i6mcfCqhYNmw0rIMDjsSyQLycmfR0PIf44WwMAd1uhqqAvVnL6HpxD2Izi+H9jhTr3gEUc+XSBpOUwS3ONMBVYgE7WmTA7kyblsULGNIS/sqNlTf43VOHPxOHj4nTMptzwjniB/HCVKQt4u34J4EBMcJMGvKOSgJQoFyfE6IvNxZ3hqciSviMKPiTKobniIS20iXOqHD1EkfH7RqbixeQ/r6iGqCtsiaYSt/lBYtobQoa+1gbnfYkUgWUJi3K5NLjiTYGqD4kQ/QkL9zd3rNhQez9fKjiew7C3GE3He3kP/sKvAJs875S6dJeGmPU3LXf3qk/UVeJUSSMHFCJPhC6hkSSTsa2d5pbHkjbeHbxdUYM6acyayp5xLwlwIOjgSZUfEpRBzycmYyo+IM8nLmUBDembnTLiCcM5XW9lX8d91veHfNz2hufZeZFWeSG6okNzSDmRVnsaXu0W4CxAgXt9ONxcAEAyWZqr0SsFNQEwg7EskSyooPpOyYr6Ov/wdJJHEDDpJUmk7dCw0HAdCQn8jelWjAh5NIkffqeip+9k+iu08n7+XVSKKnSvBiqvg9D7GJAqbTRJmkaI9usCq+2zl+X0HGsatJgv5CAv4iFsy4hJQbxeeEMrSfCsILKAgv6DxujayhrullOtZSapteYmbubOZO/zxg9hrFEnX0ZihxKJajA/4ippefwqaah3A1QVHeQkoKFw8c0ZIVWCGSLbS1wfLliGfF10m4KBCobiE+Z1LnQqdEk0jC67U5QvFDb+Hcs4LY7Emsvf3cXhIWyiTOJDUaNUrAqvfuAAR6NbpppoxEBL+v9zWSdOKJWjIFhBJP1IFnit2RII74u5l9FxwnRFH+HkMqb1H+bhTl72Zd6U5ArBDJFnJzISfHCBPMQrr6Hab+4GHW3PU5NDeA+oTp37oXN8ePKNR97gCqv3EUTnscNz9k5qsz8FEQXoCIQ0vbf1GU0sL9COfM6Jm/Zbsinsg08uhIgHiifkgdiHBoZi/nZhCL19Ae20goMImZU85k/Za/4WoSvy9MSeF+lBbsjd8/hJ3miQS8/DKIIAceCL7e95ZYshMrRLIFx4F774VTT0WTSZLFQVKFueSsrGanw35HorIEX3ULycn5iGv2hoRW1oCAW5CTkVROYEqn2eyK0o/hOAGSqQgiDj4nNE43aBlLwrmzaGx9M21dRAkFhqallBOqYEbF6WytewqAikkfIZFqZsPWv3eGKS85nF1mfwdX4zgS6nsU0eEnp7uAiMXgkEPg/ffN8d57w1NPQWC4O0UsY40VItnEMcdAbS2ydCnO+Z8hVp6HrnZw4imCq2uJzywhuKkZJ24aZN6La8h7aS1tB3dpwYiEmDXtnB7TFYOZvrBsHyRTEeoaX+00bRLwFzK9/BT8/nxUXRpbVhBPNlEQnj/gqLQgvJNnOt6wasO1GTvVa+qfoazoIHxOTm/RDT/9KfzkJ0YF/etfh1/9qmvUfNdd8N57nSNwXn8d/vEP+OQnh3v7E4bI7lN558EvDhxw3pWjXpZtwWpnZRs5ObD77rQvLKPx5EXUXHwoqZwAqcIQvuYoEkszNSHgtKYbUvQxqXB/XHfwmjGW7QPVFNF4NYlkC5trHyEa77Bmr7hugnCOmZrasPVuNtf9k9rGZ1m7+VZa2j/oO9He8um+YXEgk/IvvABXXWWmrJJJuO46ePTRjkKb3+1paseq0No6pDJZxhcrRLKQptt/zoarT6XptL2pP3sfWg+Zi685hr8xAup5WvA5aG6AtgPT/U2nqG16ng+rriOWqO8rect2RioVYVXVdazeeDMrN1xNW2QN6bvTU24E1QTJVISW9pVdu7k1SW3jC0PKa3LJkYj4EXyIBCgrPshMYT3yCOyxB+y+Ozz4YFeElSszE0gm4QNPcF17LTz0UOYm2dxcOO64IZXJMr7Y6awspH52DEm6TL3sforuf9N4LvSuCRCfnE/TKXtSf94BuIXdp6lcXI3T2PwfKiZ9dIxLbhkPahqfI55opGPHeUojnstbs3Ew6C/BcYJoLyNUR4JDyqsofyEBfxHt0Q2EgmVGJfitt+CMM7pGFGedBc8/b9Y39tkHIpGuBFzXCJoPPoA77si8Bmbt5GtfgxtvhLy8IZXNMj7YkUgWEqiLMvfE6ym+9w2cNAECZhQSXTSd6ss+RnJyQR8pOIj07B+ouri9+Mi2TGyMj5B0Pxx+8sMLCPiLyMuZzexp5wDGXlV58aGIBHAkhCMhKkqH0NF4/HHYc0/C+x5H2bM1XXtKXnopM1w8DjffbH7fd1/mNdeFE06AxYvh7bd7LrQ3NMD998OXvjT4clnGFTsSGU/q6uArXzELiyecAFdeCT4fFa0749T+vVN4ZHhmcISt3zyqR1KO5NAxheE4QUoLM80+1Da+xNb6JwGlKH8R08tPtvr42wklBXvS0v6+Z7LEwe/Po7Lik565dUMsXkMkvoXC/F0pyNuZRLKZcGj64FVx333XLHZ3jDbOPNOMNhYvhp12ylQvTybhmmvgz382U1Vu2jpKKmX+4nGjgdWLvTeiUXi2h4dhS5Zihch4cvTRZiogkTDDe9eFn/2MwJxdUfUBaf7TARxh009OIL5zmllrVYKraql4JYH/yGNI7r0Leblz8fm6tGWisS1UNzxNh5BpbnuX/Ny5FBcsGpPbtIwu+eH5zKj4FA3N/8Hvz2dyyeEZAqSp9V021jyAICguU8tOoKRgiL60XnopU1ComkXzxYvhiCPgssvgRz/KjNOeaaerB4k+/JH4/bDI1s2Jgp3OGi8iEVixoqshtbebYfzTT8N55yHJJG7Q1zkKEYzZE39Nc2bvTYT47FI2Hxkm5+TzKXyxKkOAAMSTDQhd0waqCc9chWV7oSA8n5lTzmBa2fH4fZlrCVvq/olqAlfjqCbZWvf40DPYaafMY58PFnSZSOGKK6BwBCwhiMB++3VNh1myHitExoucnMxG5/ebRnnhhUagJJPUn7kPbjBtzthV3KKwcUyVTsBHclIeH959DmujjxCLZwqI3ND0DNVMkQD5uYOzsLojICLHish/RWSViFzey/UjRKRJRFZ4f1cMNm420EMtdwh2rTo59FAz2ggETF295BI49tiu68mk2QsyWHw+KOi2puf3m9H4Cy9A2eiYb1+XSHBDQwO3NzXR7g7jOVh6YIXIeCFiVCELC03DnDcPrr8+Q0fezQuh+SFcv2PMoIT8NB+9C/i915Y+Ign5ic8to223YtZs+hOu22XPKOAvZPbUc8gNVRIKVjCt7CRj1tuCiPiAa4DjgN2AT4vIbr0EfU5V9/L+fjLEuONKefFhiAQAMWq5JYcML6ErrjAj6GjU7P3o4O23YcoUuPxyIwgGw9y58I1vdGlghcNmnWUU+TAe57SqKv7Y0MD/q6vjrI0bife2JmMZEnZNZDw57DCor4eWFigqMoLlkkvgZz+DaJTy656j4fQlJEuNqZLGT+1DcmqXYT1FkI5G0DFf7TiopoglaskNTesMG86p7LS+aslgP2CVqq4GEJG/AScD745y3DGjtHBfgoESovGt5ASnUBCeP/zEfD545hn473/hwANh/nzYf/+B1z+6s3IlPPkkXH21mcJdvNio9o4i9zY3E1GzPTIFbEwmeSsWY5+cfnbbWwbECpHxxueD4uKu4+9/H/3D1RCNIkDJ35ehIT+Nn9yTmldnkV8ewR9Okoz68AVT0OHAyvO1DqCk8Puspd5BMh3YkHZcBezfS7gDReQNYBPwbVV9ZwhxEZELgQsBZs7sadhwtDCL6vejmiI/dx6TCnv3ed4fqkpT61tEYpsIP/wKhZf8GnFdU99OPHHoAqSDF1+E22+Hz49N5ybkODh0KUMrELIaituMnc7KMlJuFGrrMjYXOrEkpXcu5+3LD+M/V5zAxid2Zs3fFuMm09ZLRIwgSblM+cOr1G39NxtrHqIt2tP3uiWD3r4i3ec4/gPMUtU9gf8FHhhCXHNS9QZVXaKqS8rLy4dd2KGQTLV5AiQJKG3RtdQ2DW2HOsDW+n+xqfZh6ptfYeOSODXnLjbTWu3t8Nhj21bI55+H5uYxMXVydmEhJT4feSKERTgwN5eFwaFttrT0xAqRLKOu6VWiu05BvXWP9C/SAh5l00M78dLFZ/Lmz4+mfsX0TDV7EUi55N/xDPzxDzS2vM66zbdZQdI/VUC6FcJKzGijE1VtVtVW7/ejQEBEygYTdzxJJJuRtCaumiQWrx5yOg3Ny7tMpYSD1J+bNpopLDRKIsPB5zMjkbIyKC2Fb35zeOkMkjK/n4dnzOCqyZP545QpXF1RYfdKjQBWiGQZ8WQD6/90Fo0nLGTVIxfx7vs/ZNU/LiI+tYjD+QmLdv07+XNqmXzIGvJm1Pd0IQJoOIB/q3GBq5qksfn1Mb6LCcVrwAIRmSMiQeBM4KH0ACIyRbyvjYjsh2k3dYOJO54EA5Mwa/8Go5W3Uz8xeqe79QMnmjA2rsJh+OMfjYmSoQoSEaNM8txzRs09kYAbbjDrLaNIgeNwVF4e++fm4lgBMiLYNZEsIpaop7ntXbQol02/OsU0NEeI7VRO1R9PZ86pN3HQoj8w93/W9IzcMSRxhA8fvohAVWPnpbboetqi68nLGbu5+ImCqiZF5BLgccAH/ElV3xGRi7zr1wOnAReLSBKIAGeqqgK9xh2XG+kFnxNkzrTz2VT7CMlUGyUFi4e1wXRa2YlU1dyH4KC4TAscCv9vJ7OwvtdecM89pq4Gg0bVdzCqs6qwcWPGhkMVQTesweHIIZfRMn5YIZJFNDS9hqbiEOz2Wvw+ojtNBqDkvjdoPn532veZBQEfiIPZia6dYdXvI75gcmf0RLKedZtvY860z5Ebmjo2NzOB8KaoHu127vq0338E/jjYuNlEKFjOnGnnbVMahfm7MD/0JeKJOkLBcgJzCuHAtACXXNLTkOJgiEQ6VYJbD5nHhmvPwA1XkbvxZmZNPbt/HyWWrMFOZ2UT4nSOKKQlCklPj0QVDfmp+t2pkEhRdO8KFhz8G+acfB0SiQGeZlaP4XmXMFJN0tL237G5D8uYsuEluG4R/H4WvPjr3s1RbSvBQDH54Xm9u9eNDdN/jQj85je4Rx3O+hvOws0LgSjR2Ga21j25bQW2jBlWiGQRpUX74YtD+KU1LDjmj+T/exW+mlbCr64DV2n5yM5E9qyk9P43CNa3E1zfQHj52l5SEnJDMzIWDUX8Q/N7bZkQtNXAX4+G6regaT0svRLe/fuA0UaWgw8eXrwFC+DLXyb1+IOQ0+W2WUkRS9SwPBrltKoqPr5hA/c3N49QYY3K8juxGK9GIkTtrvVtxk5nZRFBfxELni9HvvlLnPYYsy68E4BUjp+1d55PfG4ZqeJcEpMLWHfLZ4gtmIzEe5p2LynYhymTjmFr/b9oaF4OIuSGKiku2Husb8kyytS8A2lr5yTaYc3TsPCMMSzEcC3uPvccOA5+KcDnhEmmWgA1u+tz5vPFzZuJeMOqn9bVUeH3c1A4vE1FVVUur67mqfZ2HKDE5+Pu6dMp6m6S3jJo7Egkm3jgAXzf/A5Oe+b0gBNNkrd0JW5ekPoz92HD708lNq8MPFMo6QT9JUwr/ziO42dq2XEsmPlV5ldezOyp5+CIbSjbGyXzINVl4YZAGKaMdV9huNNZlZVw112IOMyZ/jnyc+cRCpRTVnQwa4J7k15bo67LshUrtnmu7t14nKfa24mo0qbK1mSSO5qatinNHR0rRLKJBx7odfevAOU3vAAitB21E5H9ZoHfa2JpU1YBfwkzp5ydETfgLyQYKLX68NspRTPglNsgVAROAHY/C/b5whgX4qCDhhcvFkPPP4+2da/hc3KYNfVs5s/4EpNLD2dmMEj6GDs3EmHO1VcbnzvbQJvrZnz0EkCLndLaJux0VjbR3JzpgCoNJ+KpQvYQBg65oanMmfY5RGyfYEdkt1PN37hx330webJR7x0irk/Z+tZtxHUm8yov7Fy4nx8McllpKVdt2kTK5+OEBx7g43//O+Tnw49/POyiLgqFKPX5iCeTJIBcEU7ubk3YMiRGRIiIyLHA1Rhd+ZtU9apu188GvuMdtgIXq+obI5H3dkVDQw9XuB3HqcJMdUe/rwgRh5xgBdPKT7QCxDJiJJOttEfX4/cXEM6ZMXCEkhKYNQs+/HBI+aiABhyiswtQt53qhqVMLz+p8/qnioo4Y9Ei3KoqfB2jhW00U5LjONw1fTp3NDXR4rqcXFDAzqHQwBEtfbLNQiTNHPbHMGYgXhORh1Q13ZLpGuBwVW0QkeOAG+jDUN0OzYIF6IsvIPGuDVhuwIcGHDb8X5eZbBE/08tPIj88F1WXjTUP0dT6Fo4TZHr5JyjM23nArFJujMaWN1BNUJi/O0F/0YBxLNs/sXgNqzfdbNTKUUoK92HqpGMGjnjkkUMSIipCdOFUqn57CgVPf0D5Nc8iOXnwv8XGurWHXHstvjPOMPtJEgnjdncbKfL5uLi0dJvTsRhGYiQyoDlsVX0xLfzLGBtDlu5cdRXy4ovohyuNcPjZiUSWzCRZno/mBCgI74bPyaG4YA/ycmcDUN/0Ks1t7wAurhulqvpeFsz4KoF+1HldN8nqjTeSSDShuNQ0Pse86RcRDBT3GceyY7C1/hlct2uhvKHpNcqLD+nhLbEHs2cPPpNQCPbem01/Ow//K8uYfvmDXdO1xx9v/JPMnk00XkPk0GnkLHuc3P/Wwm679fSwaBl3RkKIDNoctsfngT5Nf46XyexsoCm4mZpHLkY3bSRRKGhu+tDdITdnGuXFmTr5kfgWz0qrQXBIJBv6FSLt0XUkky2ot3TpunEaW95gcunhI3o/lolHh6HFTkRQTfUeOJ3PftasVfTlNz2do45C7r+fOQGHyI3LkXha+j4fvPoqLZMTbNjqbXjJgfLDD6O8xAqQbGQkJtIHbQ5bRI7ECJHv9HYdxsdkdjbQHl3PxpoHiaVqiVeEugkQAJfEB6/D+efDr34FcaPXmZczx/Na14ESDJR1Df0vu6yHHr+IL+MFCQ7iWPVfC5QVH5zhBTEvZzZ+3yAWnmfONNqFg2HvvSEUwnEC5C36KJKT23UtmYT589la9y9UE51/NQ1LUeuFMCsZiZHIoMxhi8gi4CbgOFWt6359R6ctsq5rROG6kFQI+iCWxNcaJVWcT+F3roGl79O+71yiyXfJ+eZPKS5YRDLVTH3zMny+HKaVnYTfyYETjod//9vYJ7rmGrjrLjjhBADCOTMJh6bRHttk/JU4OZQULB6/m7dkDXm5s5kz7Xxa21fi9xVQXLBn3+rhiQT86EfG8u6SJWaaajAsXdrlRO30083xDTeA4xg/7YsXoxteyoiivfdLLYCIpIC3MB36FHCJqr4oIrOBh1V199HMfySESKc5bGAjxhz2WekBRGQmcB/wWVX9YATy3O4wezn8Zjoh6YKrkBLCy9ZReekDxA/ag7yl79Nw+t5svuI4E6nqz0xpXED5wpMpLzm0K7HqatOwOzaBtbfDb37TKUREHGZN/SwN9Wto26pUzJuB32c1VCyG3NDUwRnq/MpX4NZbTUdl2TJIDWLaC4xHw/vug1NPhV//Gu6+26gIX321ESpARelRVFXf5wkbh0lFB9i9Tn0TUdW9AETkGOAXwJjNTW+zEBmkKe0rgEnAtV5FSKrqkm3Ne3uiMG832iJraGhZ7lnnNQ0mumclTnuK8KoWVISt3/4IGu6Y6nKpltcp3f37phGXlOBqCicnJ9Mct4jx4Z7G2mcc/nbyPNSFUCGc/xyUboPrbcsOyAMPdFnvHeoekZdeMj5Jfvzjrg22550HixbBzjtTmLcrc6adT3t0A6HAJPK3xS/8jkUh0DCWGY7IPpFBmNK+ALhgJPLaXhERppWfQEv7SpyVq5l6xcP4a9poOH1vBIj8+ruEPvX5npsNVWHDBmJ//gPrTismkWwk4C9m7g8vw3/V7yAQMHF++cuMaHefBnHPI2kyCg9+Ds4fpgkky3bI8uXmb489jN+Q3pgxw4x6h7pW4TiweLFJP92EvN8Pb70FOxsV9dzQNHJD04Z5A9sVZSKyLO34BlW9Ie04V0RWADnAVOCosSyc3bE+3qRScMcdxkHPscdSOnkRJZ/6Ab76dgSo+PWTON/9PvGDFrLh35dSeM8rNH5qn06f6pN/+zQkElQdnCSRNI6oEslG1p1fybxTXoGqKth3X5g0qTNLNwXRNHNB6kJz1RjftyV7uf12uPDCruNf/tL4DOnOX/8KRxwBjY1m6jRdmHj1s1cmT4ZPfxoeecR4R2xrM+cTCdh9VKfvJyq1A8zcpE9nHQjcKiJj9iDtNucxpi26njUb/8zqjTfT2r7azAFffDH88Idw8MGUPbIapz3VqfLmJF24807ycmfhFuYQWlPHrPNuY8ovnmD2ubdReudyyMkhXpa5oz2eaDAN8thjMwQIgOODOUdBxzJIIAy7n4nFYrj8cjPF1PH3gx/0Hm7nnU0n5bbbjDmSdPobnbiuETInnGDSLimBigq45RbYZZcRu40dEVV9CSgDxky11QqRMSSWqGPd5r/SHltPJFbFxnduQh95xPTEkklob0duvx0nFs+MuHo18WgdRfl70PK1U8lZ10TJg++S++YW3pj+XR4/dR01/z4MSbN76mqSjTUPo9q7cbkzH4AlF8HsI+HwH8FRPx3NO7dMKLoLgP4Egs8Hc+cOflEd4MQTu35ffjnU18OWLXDGWNqvN6gqdakUke3ECKOI7IJZmx4zDVg7nTWGtEfXZxyrDzOXlE5BgbFDtHZtVzjHYd2W21HHRcoCbH35eqatLOGff9mL/zxUQeJ2IXB/OXtdWsiscx7EbNNxaWp9k4CvkMmlh9GdYB4c+/sRv8UJybbYfhORtUALRrVy+1AY+fnPzejYdc36xUCWc/fe20xP3Wn83xCJ9C94fv7zoZWnuhpWrIA5c4wjqxGi3XW5YPNm3vW0GL9fVsbphb14bsx+OtZEwKj5nquqKRHxA8O00z94rBAZQ4L+TLMibkk+8S9+htCf/24aK8DPfgY1NXDSSeac61J/yUdRxwgb1QQNspIpx3yP5Z/0k/TWJRPtwns37s7scx9FNd4Ztj22bszubyIyQrbfjlTV2jEr9GhzzjlmqmrZMrOwfljPTkgGInDTTfCNb0BLi+kAXXqpmerqhjoOkZw2Bu1aatkyOOoo0xbicfj97zPXa7aBGxsaeC8ep2OP/S/q6jgiHKbcP7E+i6ra107hhcDQrGIOg4n1tCY4eblzKC3cl7qmlwEozl9E8A/fhTMvMA3ukENg6lTTIE88EYqL4bOfpWn2+xBLb5CC4ODPoVOIAATzHQTp3JYl4iccGoQV1h0ba/utN/bf3/wNhYULzf8DDoCPf9zU327TROrAhvdvoHj+x6goHYQS0Ve+YgRT+vEFF3R1uraBDckk8bQRkx+oSaUmnBDpDRH5CaYenzfaeU38pzXBmDLpY0wuOQJQHMfb75Huo/rLXzYLjO3tRnOlspIp3z6XtZtv8wSEUlZ0GG2RtRz1+wBPXFSJLyg4iXbOPPEOiu6LU3UoxMqDFOTtkrkJ0dIb22r7TYEnRESB/+umetnJDmcTrhc3tgpIyoVYlNrGFygrPgSfM4Bp93QBAmbtJZncZpPwAEfn5fFMeztRVRwg13GYEwgMGG8ioKpXYPbnjTpWiIwDjtNPRf3zn7t059vb4dprCf/gB8yf8WWi0Y34/cXUNj5PbdOz5B8qHPP4JArrT2Pedw7Due5DSLnMCYeRFW/A5B3gY7XtDMf22yFppw9W1U0iMhn4l4i8r6o9dtx4wuUGgCVLlmz/NjxWrOgxChGMa4Pw8g00Ty+FwRh2/Na3jHpxR6fqE58YEQECcHR+PlFV7mpupszn4zuTJpE7AiOcHQ0rRLKNcDhjA5YGfAgQ9BcRzC8iGq+mNbLKGKYDcqdvYdLW65CqVYjnm12TSRI3/5HAj381Pvcwsdgm22+qusn7Xy0i92Omx+y2zYce6vW0JFJobg6Febvg8+X2GiaD88+HKVPgiSdg113h858f0WKeVFDASX14NnRVWRmPIyLMDwRwrNmVXrFiN0tIuXFqGp6l/n/OQx0hlR/CzQ2w7idH0vTmw53hjFnuTP+HSaIZFk5VINDf9ecAACAASURBVJLcMmZln+B02n4TkSDG9lvGF7Av228ikiciBR2/gaOBt8es5NlMaWkvrpwBhRlfv4fKx1oHn9Zxx8HvfmcW1H1jY206qcqFW7Zw9qZNnLVxIxdv2ULKWhHuFStEsgBVl7WbbqGm8VlagptZc9s5rP+/M/lg6ddoO3QemwLL2FTzMKuqrqO+aRlBfwnpgqR2kRDdbQqpcJBUXpBUSZjIZ44f3UInk2aD5H77mcbd3Dy6+Y0Sakwnd9h+ew+4u8P2W4f9NzJtv61IM0FRATwvIm8ArwKPqOo/x/gWspMLLoDKnvoHAkg0hlx0cZeB0G0llTL55eaa3fCP9emuaNA82dbGimiUiCoRVf4TjfJ0h40vSwZ2OisLiCcaiCVqUU2RnJRHcnIBySld+uquHxpbVqCkiMVrMVqpafh9rP3ruRQsXYkTSdF+5ELmLBhlIXLppcZ8d3s7vPkmrFoFTz89unmOEsO1/eZpdO056gWciOTlGXe5X/sa3HMPNDV1+sABzD6StrbBm4/vj2uuMXtUolHzd9ppsGaNESjDpNl1MxbGXKBpKBsqdyDsSGSEaI9WsbX+Keqblw3OE1wajhPs3HQYXTSdnLc3Ie2mwUk04fm77kjT9bzPdRtaB3z/n73zjI+jOvfwc2artOrVkizXADbYxgYDplfTEkwgFNM7CYEAgVAu3BtaCCUEkhAgpjs0A6F3MJiAwRSDjQu2MbjJVu/avjNz7oezknZXbVdaybKkB/Yn7+40jWbmPect/xf3kVMQp5/N6F0uwDSD/dvE55VX2tVXAwHVu2SIVP2OkCRsNnjwQVUs+OCD7RlbTqfqP5KdnZz9LF3afi0CjXl53FFdze+rqvi0l7OHA1NTsRKeOaFG2wd0knE2wshMJCm4vT+xpWoBUuoIYaPZs5aC7MMJ6fWkOEp67F1us6aTm7UfdU1LEFhwHzEFrbEZoZuY6Y7OfcudICUE9To2VcwHBC7nOMaMmosQ/TBWGDcOysraDUdeXlJy90cYolxwgTIiL7+sqs5vvDHu67pHDj4YXnoJvF5CViunPfkk5amp6B4Pn3i93FdYyEEJGoAiq5UFJSX8u6lJlYBnZTFqCNSP9AcjZ6UnNm9WKYbl5SpT5NJLO1z8WxsWt3UllDKEx7eRjb7H0IQFiWTsqNNxpYzrdjeFOYeRlTYN3fDQ4l1HHV/QOtsQ2ML90DvOLKyWdAQWhGYlwzWZ+qYv247F499Es2cNmWm79fk0dOCJJ9TNW12tRpavvJL8fYwwtDjtNPVKNuefr+7TRx9l4+67U1taSmt3E7+UvNrSkrARARhvt3PTMGrR3VtGjEh3BAKw335QVaWCd6tXq9cNN6heCsCaQICvAgZ7EOkbVKNzM+zWqqx7j4mjf93j7hz2PBzkYbdl09jyHabUEYDTUYLXv7HD8llp0ynOn9PW8a2h+duYNqISw+ynYOD48UreoqZGZeIMkSKtEXZAhFBtdW+9lUxdRy8ra9PusgL5A5TRNVwZ8T90x4YNKuuoNaAWCMAjj8Cuu8LXXwPwUEMDTzMDLzY82AjQ8YI1ZWJd32zWDH5WeinF+b9gdMGJjCs6E6slOpfdorkoyjsmqmVomnUMwusDwwTTRPgCpDkmAuDzb6O28XOaPeuSFyvRNCXhPWJARhhAQlKyLRTC30kMrtBq5dKsLOxCkCoExVYrlyQr9jJCp4zMRLqjsLBj20/DALdbSVh/+CEA5WRyBb/kZ9TiJpV70ioJelaEYyRW8rN6ELDrBKsllay0qW3vxxadwZbK5wjpzaQ4Shgz6rR22ZQwthffYsJf5lN71h5IAXnPLsd+5340HziOrdUvIaWJEBay0/egKO/o7g9AStX7etUqJctydA/Lj9BvmAb89D6EPDDhCHB2H2Ib0mwKBjm7ogKvaSKAB0aNYu+U6KLFC7OzmZOeTpNpMs5mwzZSJNivjBiR7sjJUTpW55zTMafd7wfg19nZfO7zESSFtZRycGoqE/P3pDl1PMFQHanOsbhSxvb5UJz2QnYecyVSyqjZRxT19TjWV1Fy/WsA6NY0XvlFPaPe3EjGzq0xG5P65q8ZlXtk9wH3q69WKbwejwqI/uUv8Nvf9vn3GCExpAnPHANblwBCSfj/ejmkFW7vI0suppT8qbaW19xuUoXgTwUFHNxJHON/a2qoN4w2p+3vq6r4bNy4DssVWK30PsF3hEQYcWf1xKmnKhG4k09Wue8Wi3qohru97eZw8NLo0Vybm8udBQX8paAAIQSZabuRn31QUgxIK+uDQf7r9VITOztqZc4cpSskBFJohHQbPxpHYIR6/jP7Gtp7rgMqJbO1banX26FH+wgDw5bPoexz9bcJtoC3Fpb+q+f1djReaG7mNbcbv5TUmyZXVVV1ep1XRRgQUPUc/6yr4xdlZVxUUcG2UKjDOn3BY5os8XpZk6zCyCHIyEwkHmw2WLAAnn9eBZOPOEL1LQ8z1mZjbB/iAoYZoNmzBgGkuyZj0cIFWFVVKi6zyy48qWnc39CAFZWj9WRxMbvGFmpNnAhffAH/+AcbP7Xxxpqr8VLAijuOZP9HnsPqEAiLJD/rwLZZiGnAf06FdWGhjwOuh0NvRRmjyBsnJQ6do/D2hID+yCoebnwzD965AoyIP4M0o9/3F27vT1TVLwSgIOdQ0lN37tf9rQ4E8MfIsm/R9Q6y7Me4XDzT3IxfSuxCUGyx8GRzMz4p2RwKcXZ5Oe+NGYO1Dy6soJTYgGrD4ORt2wiYJjpwcno61+fl9Xq7Q5URIxIvmtYv6YmGGeCnrQ+hGyqLytrwXyaO/g2Wtz9QsyCbjaCmcd/XX6NH3Bh31dUxv7i44wZ32w3mzcPzHHguBLxQs2Q8/z3115z6/lbSc3II1ZTy6LFQuwYySqHhJzDDA7glf4Wdj4OS++9X3e3sdgiF4IEHCOludKMZuy2vg4S3lPDBNfDl3wEBh9wMB96Q9NM1bKhaCe9eFW0whBXsqTAjEQ3CL75Q6a/77gsREvRGEGrWQEoOZMa0nAkEa9hS9Xy4qBXKqv7D+OLzSXGM6sNv1D17Op284/HgCxsSE5jQycDsipwc0jWNz3w+JtvtrAwE2BSesZhAo2lSYxgU9aKmw22aXFJRwfJAgFQh2NPppNEw2sp8X2hp4azMTEpGEkmiGDEi25lmz/fohrfthtUNDy2etWSde25bFa7hdCJNM0p8zttDdfiUudBcBl8/AI4sOG5eLoXFuQD86zioXqlGtbXuaEVuYVXrlZxzjmpKtG4dTJ9OY04T5WV/VzUpQmN88fk47O2jsvVvKTeLGfZAfHq76t9eum8STtIwpG4daJF3p4C8SWqW985lcPTfIbenycFNN8E996jrxjRVIsg+++Ctg8dmgbtS/b32uQL2vgzSS9T2vf6y6O1Iide/pV+NyPHp6ZTpOgvCGmxz0tJI7WQ2YRGCi7KzuSiccXVrTQ2rAwFaBVUEkN3LoteLy8v5LizN4paSxT4fkdoTGuAdEWHswIgRGWhMEyorleRDSgqx7SykNFSKu7s9QJHi93PkokUsmj0bvzRxIDkzNUh3CAH7X6tesdSsbm/tHqvQYgRg9Kzwm0mTMH82CT1oUl71lDo2dJBQUfs244rPbluv7of22Qwod1b9+hEj0luK9oDIzHCLTZ1PIwDVq+Cx/eCKDeDoqiW43w933KFmka1cdx18/DGf/gkat4AZvoQ+uwu++BuMOwROewPstpzobQnR8bMkI4TgcJeL+U1NBKTkhZYWlgUCPFNcjKUb19RVubn8EAzyXSBAihD8rbAQZy+MyCdeLyuD0feUhnpABgA7MM5m63R21Fs2kMspnBXHkjcnbZ/9wYjneiCprlY1JhMnQm4uvPwyGa7JtBYnKkz8oSo444x2raHUVO6qrOQS22ZO4HuuZyE7NS2gyb26V4eRN6k9ZqHZwNLmmZLkyPVseepHkJKv/wW3u+AvBQamHj3z0U1P1PsxB0aPnKUJJQl2Vx2hnewJMPc1yN8VsiZA8V4Rri2pDHZ1d39+w2gruGsj3PO8pbLdgLQtHoAtn8J388GVMo7czFmox4NGTsZepKVMTNJv1jXPNDXhkxITVWn+YzDIj8HuB0tpmsbTJSV8M348X44bx3691Lda6fcTO7dP1TQeKyri3MxMfpeTw797MGjDlZGZSILUGwZ/qaujLBTimLQ0Ts/I6DrlNparr1aB8tbR4ZlnotXVdBBsdHvWqfTa3XeHb76BQw9FnHU6+26+k33DuSlSQm3j4rgkTSqXw8c3q6D3QTfCaW/CC79SLpOCqVD5HYigwSmcyMTgB4gbILjwSN5f/DJmUMMM2qj+YgIFszYjLEofLCd9ZtQ+SvaCE56CRX9UxmT2XyBvl/hOywidM+EI+G3YUHz6Z6j4BnSVWY4RgoySblZ2ueD00+Gpp9qNydat8NRTzDj/LNa9BrovepWQD5q3qX8X5hzW1sa5g2p0P+HUNDTah1Qm4Ii4t9YHg7hNk13tdhwxsw17Hx/ukxwOUoRoi8lowL0FBcxISWFGnEklw5URI5IAppScXV5OWSiEDqwNBpHAmZmZ8W0g0oCAurkbm9E0B6bZOswU2KwZyo99+eVti4q2ZlTto0tN9NwmtHEzPHFge/rupo/g4m/g4nBHDH8T/HUU7MJrjOcjbPjABHPxh0zWXmMlJwCw+IK5HPiPL5n4y0oyXDuTlT61w74mn6heIySffa+CjYtg83+Vq/Lov0NmT92Pb75ZSaS3XnOBAMyfz8SFZzH3Nfj6QVj/dvusxJoCO/+iffV+Ee7shguysnjX7SYklXjPES5XW9bjzTU1vOF2YwFyLRYWlJSQmUQ5k8NSUzk/M5Mnm5qwC8GNubnMGlHtjYsRI5IAdYZBua63ibv5pORdtzt+IzJ3ruo97fWqtOFx4xCFhZT6T2FL1QIALJqT4vw5HVYVwkJhzhFUNyxSN7eUjMo7qsddbloU7dVorX7Om6TeOzPhuEdh67k1aHr7jMgImNi12rb3MmRl8e/2Z9OzcGZs26XycrjqKjXSPe+8pLcwHQGsTjj7A/A3qoe9NZ42HLm50crKVmtbo6iJs9Wrdi189H+qGn6/a6B4z/45/ngotlp5q7SUb/1+MjWNPZxOhBCsCwR4I1xDAhDUdZ5qauKynOTFaYQQ/DYnh992s81Gw+DRxkYaDIMTMzLY0+lM2v53ZEaMSAKkx0yhrcDoRAJtl12mhpELFqi4yD33gKaRljqBSWOvQTc82KzpXboP8rL2JS11AqFQI05HMTZr572ho445JgtYs0JaUfRn086ASTOOwrq3BdOj3AKmtLDRciQpWeCrR/nhdSj/GhbfBYfeEl45FFIildu2KYmYZcvUw+qcc+I/LyPETUKSJxkZ8M9/wu9+p2a2BQUdikbzJsEpLyb3GPtClsXCYS5X1Gdu04xSpAsBTQPcuyZgmpy6bRuV4UHkux4PDxcVjRgSRgLrCeHUNO7Kz8chBA4hKLXZuDY3N/4NCKEMyeLFMH8+RMhMa5oNuy2rR/+z015IumuXuAwIwITZKt3X4lCvnX4Ou/6q43L2XcchvljCKu1MVnImj/E59cGxSAn2iF3pfqj/MWLFjRuhtrZdY8zrVUWZIySFqhWw+E5Y9kR7+nRCXHihMvDffqvStQt3PL2U3RwOsi0WWodrTiH4ZXp813+y+D4QoCbCC9EqMT/CyEwkYWanpXFgairNpkmexYI2CLM1toVCXFVdzZZQiJlOJ3c+XMBht2tIo+PMJIopU/h4/L9p+Em9FRpkjIaaVe2LWJ0xRig/v13lGFRx4sT+z+RJJkKIo4G/AxbgUSnlnTHfi/D3xwJe4Fwp5bfxrNsXyj6Hp2aDHlDuq9XPwxnv9KKXU06Oeu2gODWN50tKeKyxkXrDYG5GBrslo61uD9TqOmuCQUZZLNxZV0ekUIAVFZsZYcSI9AqnpvUqFz0uTFO5u5YtU1XGJ5yQ8FPjospKykIhTGCx18stNTXcHecIdO6r8NSR4KmCrPEqlVRGeA6cOTHB8+xsJY9/4YXqOCdNgttuS+h4tydCTf0eAGYDW4GvhRCvSym/j1jsGGCn8Gsf4CFgnzjX7TWf/wVC4XYwIS9s/gSaNkPWuGRsfcdikcfDU01NAGwIhXi0qAhXxD0YlBKvaZKpaZ1mSy71+fhrfT0acGNuLrt24YbaGAzyhc+HX0oebGhAQJQcSyupQjB3gGdDg5URI9ILanSdP9XWskXXOTw1lUuys5OTPx4KqbTeNWvUe6tVub/uuy/uTRhSsiUUasvhCgLfJSAeVzAFrtqm3Fa2FLgzxgcfbO5kpTPPhBNPVL1XCguT1/Z0YNgb+FFKuQFACLEAOB6INATHA/+WqhHLF0KILCFEETAujnV7jcVJVEKeNCNrehSBZnjxVJW1lVkKp7wMBYk2snzkEfjDH5RL8pprVFbXIKLOMLitro7WvMa1wSDzGhq4KuxKfqW5mVtqVRLINIeDeUVFpEQYmFV+P+dWVLTdE6eUl/PW6NGMtUefzOV+PxdWVGCijFJ3tenNUnJ4WRl5msb84mLG2XvOlByqjMREeuKHH2DPPVU21c47I9eu5byKCj72evkhGOSJpibmNTQkZ19PPw1r17a/13W4//72PuZxYBGCEqu1rQ7eBglP/YVQr8//Cql5qiARVExl3KFdrJSaCqNG7WgGBKAEiNT52Br+LJ5l4lkXACHExUKIpUKIpTU1NXEd2CE3gT0NbGlgc8H0c1VShKdaubgA3vmdysDTfUo1YP4hKgMvbr77Dq68Ug0AvF6V7PHWWwlsoP+p1fWo0W4wPFACNaBrNTAhYGUgwCONjVHrP9HUFNPvE+6rr8cdc1892NCAT0oCPRiQqGMzTc4sL8ccxnIoI0akO669Vrlnvv1WPdDXr8f8xS/YGq4TATXV/cibeAtaUxp4/VvwBcrbOw3W1HSsMm59oifAw0VF/MxmI0UI9kpJ4eYElUelVD0sFv2vEmeUphJqnHo6/OrZ9uWW3At3ZqrZylcPJrSLwURnJzf2idDVMvGsqz6U8mEp5Uwp5cz8Lvp26wElYvnI3vDWb+HTO5QbywjAXpfCobfBQ1PhvjFwVzasfRXKl0aLNHpr4cmDlMBiXHz/fZQmG4EArFwZ58oDwzibjdRwISKowPqR4QyuWsOINjDA5hg5eFcn98/HXi9HbNnCuohZem+HP82mSeMAZ4sNJkaMSFcsWaJ6asQ81LWNG4lM6rWixBBnbNzIvps28b7bTU8YZpANW+exueIZNpY/SVnVC8qQHHccxPpqr78e7rxT1V68+WZchz7WZuPV0lKWjh/PI0VFZCQYAPRUQdmS9upoaUDORDj+cTUyBtj0X1WdHmiGQBMsvAa2fpHQbgYLW4FIHdvRQHmcy8Szbty8+Rv48p8qjfqbebDiKXXuzRB8db8qGq1do4yG7oOXToeSWR1dXJXLYfmTce50jz06JkbsM7j0ahyaxrMlJRyWmsruDgc35uZybDgeMc5ma6t0B2VgZsekCF+Zk0OssykEtJhmmxsM4NLsbBxCYEXN4PdxOMjXtE4aXkeTKgSZ/RUj3QEYvr95T2zdGl2oBUghCO46mn8WZuISAguQZ7FQpesEpaTZNPmfmhrKY0ZC/kAlmyqeYsO2x2nxrqexZRnBUAOmDCJlCLdvA17/Zpg8WaX/HnccHHwwvPIKfPYZ3HorPP64koZ/9ln6G1sqUeNpoYEzGz74ycdVJ3m47kA/770Q7CDeWBVWBg4lPjHbnnwN7CSEGC+EsANzgddjlnkdOFsoZgFNUsqKONeNmx9eB6PVcJtE/Q10v5KpiUxy0H3KzVW8V9Rm0ANqRhIXu+yiEjkmTIDSUvjb3+DQrnyW249iq5X7CgvZ2+nk7w0NzCkrY4XfT4qm8WxxMQelpjI1bGCOdLlY7vfztc/Hcr+f9zyeLjOpGiIMaIqminh11Kmv0HXeLC1lbkZG1MDRhjIcAnX/Pz7MNbVGAutdsf/+UW8l4JtaRNm8UxnV/C5fjDsdn5T8o76ep5vbo81WIdgUClEcLkIM6S1sLH8CUyr/QlnVC2S6piIjRKYFtMue7LknvB5+DtXVKcPRKkLn9arisdNP75dfuRVHBhxyK/z3FjXK1axQdJuftw60kV5tQTMEW5eayEwdm19dQrpf9RJ593Kl6zRmfzj9bdXOdTAjpdSFEJcB76HSdB+XUq4WQvwm/P2/gLdR6b0/olJ8z+tu3d4eizUVqO/qQDv/ePljcPhdaobiawRMlQ68S0fRg6457jj1GuS80NzM0+EGVLWGwVnl5fwyPZ1LsrN5YJSSqTek5DeVlXzr96OHDYIgWuK0NVchRQhOisiwerW5uS2NVwfqTJM1wSB/yM1lbTDIar8fHdjZbueG3Fymj2hqAUkyIn3Jsx90VFerfuKNjfDQQ/Dcc7gb1lD7mwPw7D8BAF+wEk0IXOHGNS+1tLQJtxlSslNEpoYvsJVIb6uUOkJYEcIa7iGioWl2UlPGdTyWWO0eTVNSFgPAAdfBpF9CS7mSJX9iZRBbsx3NUL+L1a/h2FP5oz3VaoRcE/H43PolfHwTHHnPgBxun5BSvo0yFJGf/Svi3xK4NN51e8seF8J/b+7iy2jZtDZCXqhYChctVT1cdB/M+r3KshtqfO33t91noB70L7e08KHHw1ulpWRaLHzu87EsZrnY06YB+zidrAgEuK+hgdfdbg5ISWFbOIDfGu80UbMTuxA8WVTEH2tqeMfjYV0wyAWVlfwpL49jRtJ8+25E+pJn39d9Jx2PR80EqqpUuu2zz8Inn7Ax/yukXo0FCKFRKfIJS09xZFoaW8NaPi5N46a8vKiWnjZrJjJiHCSEjRRnMTmZe9HQ/C2aZiU3Y5/2lriRpKTAvfeq9Eu7Xb3uvbd/z0EEebu0K/EWF1moiKiYNuwmpXsJdjkL3vt9R0VYIwAVg3OYMGjZ9ypY/Oeug+LWVBUjiW2P6yqA7PEw59H+P8btyW4OBx97vVF1G63puEv9fg53ufD1EOC2AdMdDlYFg7jD2/kxFOLHUAhH+HuHEJjAQamp7BYxIHzD7W4zMLqUPNjYOGJESE5MpC3PXkoZBFpz5SNpy7OXUn4BtObZDy6++kqlOrbGNLxeePZZHrYcwQ/k48bOSkZxg743q/x+WsIX7PlZWSwaO5Y3S0vZK2aKm+IoJi9zP1p7M6Sl/IystGk47fmMyj0STdjYVPFvNlc+R0jvpAjj0ktV2u877ygV4J126t9z0AXHTUhF3uLGsEt0p4l9Z5Nf3WwlvQi6UmopXwq+JGU/Dwcc6XBaF9m1tlQ48z3Y/Wyi7lrNBqNmDMjhbXfOzszkKJerw8jXhLbA9qyUFFI1rcMyGpBvsXC4y8XtBQWddgYNAD7gquxsHi0q4q8FBW2Fi4KO2Vsj9eqKZLizOsuVj51ldJVPX5GE/SeP7Ox2DSjAtNtZ5XJRYTq5iaOjFj2tvBwTKLFaeXjUqG6LjQpyDiE3az+QBhZLu5Gpa1pCTeNipAwRCNWysfxxdiq9vKME99ix6rUd0YTgtusyaLjYJNQE+WOsCE1Jh+8yB9a8pLSdooLtUikGTzk1elsbF8HyJyBtFBzwP5CSPaC/yqDF3wRZY2HXU2BdRJAdlMru/ENhxvlEOfgttuHTPdIqBH8uKOCmvDzOrqhgQzCIiZJxbxVCzLBYeKmkhOebmwlISY7FQkBKZqWksHt4GSklRVYr23S9QyMqgLsaGvhk7Ni2HO5vfD4qdJ3zMjP5d3NzW8+TawbItTzYSYYR6UuefceNCXExcDHAmDE9NUxIMtOnw9lnw/z5BC0WyoqKuPTkk3GHQthQo5kQ6gJqvfi26ToXVFSwcMyYbptTWbSORqbZs7attzpIdMODbrhVP5FBSna2BhEPfaHBr56B5rthxTMqGK+Hs7NMQ/V4X/sqHHgDFE6FjR/Bs8epZSx2WPcaXLKyY5rqcGPNy/Dymep8OrJUTc5386ONstTh24ej1yvdf/jJoDjCGVk/BIPYhWCCzRZ17+VZrVwaoxVWrutcUF5Oma5zaGoqDxcVcUtNDeuDQepiZiVBKTlh61YqwzGSEOoBZgX+mJeHTQimOhzDuko9kmQYkb7k2XdASvkw8DDAzJkzB74M9KGHMC+/nHPXrWP15Mno4SyrMVYrZ2Rm8khjI7VGdG5rtWEoP62U3F1XxzK/n2lOJ9fl5kbp+8TisOfjD5RHZGoJLNqO1Qin4lvVJbGlQlWz50yAhk3hWga/armKgPVvKmPx7WPtRsYIqsB9zfcwavr2/C22L6auDEhrXEn3wfLH41u3/ifw1ICrk/rFuh+geatydw212Z5FCCbHqcQgpeTc8nIqwjOP/7S04BSCx4qVGukxW7awRY+WSK7UdSTQPsRT/36uuZkXwz1ZRlAkIybSlzz7wcmkSayeNq3NgIAanRzlcnFqejp2TETERDhL03AKwY01NbzW0sL6UIg33G6uq67udjejcmbjcBQCGkLYGFN4Cpq242Rdm4YSa2zcpIzGpkVQPFOlCEfVOUhVu/DDW+php0Uk3Zu6qkEZzgQ9qqCwFdl9bDiKlm1w/07KEEey5F7413R4/gT4x0TVfGpHZ31YM+uF5maCCciMNJkm1RGuK7+UfOZTFrtK1/lVejqt5qj1gdjV1hsNg7/W1XFbbS1rE9CkG8r0+YnVlzz7wYomBBdlZfFkUxNBqeYJjabJz8vKeHxULtOb3uZeOZM1FCIAjzT5a309n/t8bXnmQSn50ufrZi9gsTiZWHIRhhlEE7Zu3WHbGykl/mAFUhqkOIoRwoK/ob3tLihDsvlTCLbQoRDRDMGX/4A5j8Gq59V6Ulfd9LK2b7hnu2OxKYn9YM9iBx0wAmpGt/A6OO0N9VnQAwuvV+dc9wEC3r8aQPK47gAAIABJREFUTh9cklgJ0SqOGJASuxC83tLCv4uL0YSgWtd5oKGBJtNkbkYGs2KSW9LDqtuhsNtKAFtCIS6vrORLnw8ddc+XWiw0GQbN3RioKsPg8bCa8ILmZm7Jy+OkjMHrfh4IkjLs7Uue/WDlspwc8q1Wbg3LIrSmFd5TW8G1uHGEXVASQUDCU01NjLPZcJtm2yhmlDW+09tZvGQwIaWkrGoB1T/W0bimkJydTKYfdCKODBsWW3vKqdWp3FI/vdf5dho2wFNHqGI4TYNT34Lxhw3c7zFYWXxnu6Bir5DRBkj3Ex2FlKqt7o5Ija5zcWUlPwTb8579UrI2GGRDKESx1cqp27ZRZxgYwKdeL/NGjWJmhCGxCMG8UaO4rLKS+rAh8UjJIq83KrBeZxjtOnZdEKtteWttLUelpXXoejqc2HF8J/2EL1BOQ/MyNIuDnIx9WRnS8EnJbnY7f6+r67C8XwJIQliIvFMFcGteHldWV1NvGGRZLPxfXh5PNzVhF4Kfp6V1Gx8ZzHh8G9nwoWTxRRcjLCZSt+C7rwz/lglR3fYsTvjlfJg3A+rXd9yO1MHQldERmsni+xoZc3AqFsvwbjFa8320OysebKlK1k33qZ7r+13T/l1KDow/VPUf0X1q2Vm/T+4xDxQ31tTwU7Bj4YwJ2IVgTTCIxzTbHu5+KXnL7Y4yIgC7O518Om4ce2/YgCdiG7Hb9JMYJip+kj6Mg+zD2oj4AhVsLH8SKUOYaFzXmMr3oggBpGkasfe1BpyflY+lwcmJxvesJw8dDYewsKfTSZ1pMr+oiByrlRbD4MRt2/CbJpoQPNXUxH9KSvCERzo5O0BXNF89rHgafN5Uvpl3FIav/Ub57zVjyBrXLtIIEGqRVMy5lZafrgW6l4SQpkbZp07+ObWFfS6xsM9lth1QRT455E7qeZlYQn4omg4Tj1Itj7cshpfPUPGmo++D016Hrx9Us7+dj4OJs5N/3APBxlCow+jfCRzlcjHGZsMIS5u0YgcKuvEAlNrtrAsG27wFGqq4UABFVis/xejetabzdoUEjGGs4AvD3Ig0taxsS7FdSx6ryG1zWwUNo0NwzQRurGvi6qwzyQ2u5zbRQrl1LHUmvNjczPKwts49BQX8GAziNU11gUtJZSjEpVVVLA3HSY5NS+P2/Py2OEigGRbdBA0/wm6nwLSzBuQUdIm/Cf61O3hqAVmIEYo+G2bQQt4kJQrYOoq2yRbqP96CNOMJekpCTU4am1L58HqTlMxwId0wxFXQi5VMqFgGc19Twpef3NoufPn6RVA4HWZdmdTDVISzEGPFSfuL/VJSeMPtJiAlFpQQ45/y89vqQsbb7ZyTmcmTjY1YhKDUZuPszMwut3dvYSEXVlRQoeuMslq5Oz+fzbpOmqYx2mrl5G3bou77eMzDSeXlfFhaSqHN1vPCQ5BhbUQ0ixOBBYlBEGuUGzkEHO1y8V+vN0qHxysltzV4cArVe+j2fCdP1dYSAALh5f5UW8sZmZlR2zOAb/3+ttnN+x4Ps10uDnW5kBLmHwbVq5SrZ+NHoAdhjwuS+/uuDgR4vrmZVCG4ICsrSp4llvVvKUE/VfAm1P8WE2kIbKmw58WCfa9WqbvKiJgUmCv4kNvRe5iFKNprgHWvxrrXhq8RWfzn3q+77g3wN0THVDQrVK/sRYfDnliwQLVB9vth7lyYPz+6F0k/cENuLhqwxOdjJ7udW/LzO8zir8jJYW5GBm7TZJzN1q2i7libjQ/GjCFgmjjChnAPIGCaXFpZ2atjlMDtdXX8IywCOdzYMZ30SSI3c29stiw0YWdX6rFhEJncFzTNDn0IWvFLiV9K7quv75BuGJCSE9LTybZYSBWCVCE6PLAlqr4ElIBhqwEBNaJcFmedQLysCwQ4p7ycl1paeLa5mZO2bevQ2S0Si53oPEcpEEJj2tmCOY8JjrxX1SFEpuuWsxce4r2R2jdudcpeuXSGCsGW3q1ndYIzU6VVWyNKJkwdCndPzrG1sXUrnH++0pczDHj5ZdVvp59xaBo35efz7pgx3D9qVJdu4EKrlYl2e6cGpNkwuLuujt9XVfGRx9O23UiurKxkid8fd0fDWBqMWKfbwCKEKBRCPCuE2CCE+EYIsUQIcYIQ4hAhhBRCXBCx7IzwZ39Ixr6HtRGxaE7qc8/hdcexfJAyBx+tTa0VH/t8NPWQrSGBszIzSQlfvClCcF5WFtkWC6+XlnJrfj53FRTw4KhRUSdbQFsqoiMmQ1BYIKPTJqu95z2Pp81VZwB+02SZv+sw4s7HqVaskZi6CtpOmaukxytXRNY0aBht2fZdSM62EVFAgkQPCNwVCbZ1HULsfg4Jt9XT7EpdedeTYeKRcNjtkJoP6SVw3KNqEDL/cPj0z0k6rxs3KgHQVnw+WLEiCRvuXwwpObu8nGebmnjf4+Ga6upOG8d90c29EA+xjbAGkrBK+qvAJ1LKCVLKPVH1eq1VkSuBSPGhucB3ydr/sHZnfePz8duqWvwyHY2Oj73u/KE2VOrgldnZHJOWxi4OB2sCAaY4HBwWvqDSNY1j0tLa1nm8qIgHGxqQqC5qY8M+VFsK/GIevHmxMiCpuXBUksV6MzUNO7TVsRhARjd+basDTnoeHt+3XVXW6oT0YtXR8PN7VH1DrHpvO909FWO+k7D6eSVfvu9Vcf06Q4pj/wmbPlaGOR6yxkPBNEgvUhXp2eOVjPw+V6hOys/NgQ0fqKSHbV+oBlV9vp523RUiZ66pqTB78Efrt+k6Zbre5kb2S8nLLS0cGXFfguqIGOtRmG63s7yTzLDOeKyxkbOzspJxyL3hMCAYU1axGbhfCHEIsAXIEEIUAtXA0SSpfQEMcyPyhtvdNjo3UZWS8Q7azs3M5HCXi6nhAN9sl6vH0cg0p5N/FXUULzYN9RAVVvV4dRVAamJt0Xvk5IwMXnO7KQuFMFHZLdPCshGrAwE+9njIs1o5IT0de3hWVbwH7Hu1qn7WLFAwFXY9CR6Y3N6iNVmEvKqneNVKOPIvyf/9BzNCU4WAj81Srs2ecFcolQAErHpOXS+NG8Gerrbz4zu0pV6HvLD6hSQYkdxc+Ogj+M1voKEBfvc7OOWUPm60/8nQNPQI49DajTSWW/Pzuaq6um3geFZ6Oi/F0eq6lVrTpMU0+6teJE8IsTTi/cNheahWdgN6arzwH+BkYFl42aSV2w9rI5JnsWAHWsca8RoQAVySnd3Br9pbfnpPaUy1akrVrlVihskMrKdqGi+UlLAuGMQZIVr3tc/HbyorCUiJQwjedbt5vKioLWvs8D/DPperYrbsCSplVLPEf64SwVcLK5+B8q/gklUMq5Tf7PFw6O3w5kU9L2u2SsrI9h73oALszx0HzhzwthojoWaPSWHmTFi6tOflBhEbYlJ2TeDMTrK3ZqelcatpcltdHbqUfOr3401AWkVDzWb6iVop5cx4FxZCPAAcgHq0tVYQvQA8D0wCngP2S9bBDeuYyLlZWZRarThR1jRei+oQgsokBtICMW1ETL3jZ8nAKgS7ORxMtNvbjMT8pib8UiJRU/3vAgHKY8To0kZBzs/UiNnmUv74RH348WKGlKHyVPXP9mMRQuQIIT4QQqwP/+yg5CWEKBVCLBJCrBFCrBZCXBHx3c1CiG1CiOXh17G9PZb1b8a3XJS8WsxzzlcPv3pWzUpsLjWj++X83h7Rjs/nXm/UgCcV5eKKxZSSO+rqCIRljjaFEqv+vDk3F9v2G/WsRiWZASClvBQ4HMiP+KwSlXQ6G/gwmTsf1kakyTDwhouVIttiRmIBSq3WqCwtC1CQxNTGCbNV1bEIF8FbHDD5hKRtvltShIi6CLK+sfP8zlbuSIdXz1X90iN55hgIuQGpjtfedUp+3Gi2mAejAOfAuZevBz6UUu6Eurmu72QZHbhaSjkZmAVcKoTYNeL7+6SU08OvXvuaU+NsT2F3hfuxd/LMSi+BCYfDH6rgkhVw1VbIn9zbI9rxKbHZcEQ83A0hKO4ktd0XzrbsDQ7gV93UpgwAHwFOIcQlEZ91Jgf+R+A6KWOV7frGsDUihhng6q0rqDRC6HQtd5AVliyZ5nTiEIICi4V5RUWkJNH3mZoLv16m4g+zroSLlw5cj4jLcnJI0zTShCDNp3HweUW0bBIE3bD6RaXr1IoRhKoV7f52aYA9Gcr1mtqmFhYiPPFp9XOAOB5oHavPB34Zu4CUskJK+W343y3AGlRTtaQhJYyK02Hhb4I9L1KJDVFocOz96p+2FOV+HO59WuakpXFwamqbp+HirKxOJeRdmkZ+LweGyXwW9IawNuEvgYOFEBuFEF+hruXrYpb7XEr5arL3P2xjIitqFrFWTkD2YEfrpeRfjY1YUJ6DBsNgQXMzuzscaL2YvtbqOlYhyIq5YDNKYPZdCW+uz4y12Xi7tJRlfj+On6x8gtYWI9K9UPZ5+7IWu5Jy90T421NyVaC3L5jhEJ8ZgpmXwuQT+7a9BClsbUsgpawQQnRbPy6EGAfMAL6M+PgyIcTZwFLUjKVDU+Cemq09ug+Ufx3fAZshJQEf24t91hUwqYMJHN5YhODewkLcpokVcHbzwO+sZW48TB0Eulnha3huF19/3MnyNydr38NyJiKl5HLPmLCIYtunnS8b/mmggnIh4EOPhw+9KgpuSslKv5/v/P6oLJBYDCm5srKS2Vu2cMjmzdxeW9ujYuhAkW2xcJjLxd4/c0T1S7elwtgDo5cdd3j0+676q3dEMomXcdCAUiXr/Hf/dp7SgUomRxxxBFOmTOnwAhJymgkh0oCXgCullK1Rq4eAicB0VLvnv3a2rpTyYSnlTCnlzPz86A5SP7wVvwFpJeSLnq05MuDgmxLbRl+oXQc/vKlSjHcE0sJy8F0RlLKDVl68/C6mi+JwY1jORCp0nXocRDuV459VGFJSpesYUnJxRQUrws1pdrLbebK4uC1FNpJ3PB4W+3xto/xXWlo40uVir5R4JEIGBlsqnL1QddnzVCsNr/2vjV5m65KINxKq4yxZOpz/YW/+iYZOBTNYzUl8ydUdltN98N5VcMESlQWWDBYuXNjp50KIRsAQQhSFZyFFqDz6zpa1oQzIM1LKl1s/l1JWRSzzCBBneLydjYsSXEEqWRphUcHz7Ilw/GOqen0gWPYEvH2pmpmaOpzxTsfBxo5EnWEwd9s2Qr0c1I0ZBDOR7cmwnIkoiYK+ZVLs7nBwZVUVX4VTAb1S8kMwyLtd5JZX63rURSpQDW66Q0rJy83N3FJTw+stLQMycymeCZethSs3qxqDByYrddjWbLGssfTq1OWyFhMrVgKU8gUHcmeXy1avhOVP9O74e8HrwDnhf58DvBa7QLgi+DFgjZTy3pjvIgt/TgBWJXoAhVMSXUMhDQh5VO/6oj17Xj7oVu10Y5MlEtqnhHcuU8Y+0KT2//YO1SmoIw/U11Ot650m1sSDYzjlonfCsJyJlNpsUfUhbbQ+pHu4KHZ1OLirro4VgUBUVbsJtHThV90/JYUHhIhyec10dh89vru+nheam/FLyRtuN5tDoQGbOr98pqpfMQLQVKaCuae/qR5Wmz+JWLAnrewwr/JvLASZxlM0Mp4iuq430P0qzXeAuBN4IawttAVVkIUQohh4VEp5LLA/cBawUgixPLzeDeFMrLuFENNR/rlNwK8TPYBpZ8GHN/Q+trT2VeUC7G42sO5N+M+p6tJ2ZsH5i3ufvBEbiwl6Ol9uR6HWMHptQADqdJ2iYargC8PMiISk5MdgEENKbIAZCKDb7e1GQ4h2Q9IN6ZrGEp+vQ8GdDdokT2LZxeFg3qhRzGtsxC4El2Vn99j58D9hAwIqBXFBc/OAGZHNH7cLQhqBdsOx8hlihBnBnqbcGkaw6/7gQTIAk6+4DImNHziuy31bU6B0f3j7MiXyOPlE2PPX/VN8KKWsQ+XUx35ejmrpjJRyMV3Mv6SUfRbt1yzwu/Vw/8/A3QshWaGBr2P/tDakCS+d2l7MqvvhrUuUGyrhfQnY42L4br6ahdhS4YDrel5vMHNSRgaf+Xz4pexR9a0zkpnuvyMybIyI2zSZW1bGZsNoHzg7HO39ESINSRcIVFXqb7OzWdJJ//Qrc3Io6sYwzExJ6dBxrTtSNQ1vhMsrbQBTCbMnQuVy1B0lVLooqABuZCGg3aXqWmypkDcZtn0JeoguStq1tmw4Sec3njUVpp6palT8DcplU/aZMlD7XJ6832+wYXcpwcveGBHTgLEHdf297o+WipeGml32lmP/CaX7QvVqtd+djun9tgYDB6Wm8rfCQu6pq+PHBIsMASw7aMfSZDEsfvuahk/5adOd3GQ8w55sjv5SiLiHuHNcLl4dPZppTifHxwi42SHpFat/ys/HKQRpQpAiBLfGZPX0Jye/qKQ4ECoOcvKL6vPjHlHBXEemMh5GSI2CPdXKpTL1TCjZq/f7tTphxXwlgdJaEhXywndP9flXGvS0NpVKlBnnK3Vl01BB7w9vUD1pWrGlqoe+xdH+ftqZvT9OIdT6R9yx/Q2IxzR5z+3mA4+ng4BiIkyy23uV4ntIDy7p4cCQn4m4vT9S0/gpVkJYgTE08DVj6E10eJzdzj319eRaLJyWmck7bjet971dCA5ITUblXTsHpqbyoijlp206U6ZZKUoZuD9XzkS4/Cc1A4gsWBt3sPq8dg38tBA+v7v9O2nA8idVL/Xe4q/v+JmwQGZp77e5o1AyS3WKTAjR3l/91XNg7SvKGH35dyUJP/U09d0Z78CHN6p+7pOOh7128GA4KO/CSVu3UheerZfabCwoKek0O7I7nm9u5q6w5Emi/O8ADuwGK0PeiPiD1Uhp4MHGw+zDEsbRqQGJdGl1wT8bGjBQJ+1Tr5enS0p4rrkZAZyTmdljjCNRvrofPrjWimazsiINLvxy4B+mnVU8pxWq18aP2qvXW0nMgETetF2f+4wSOOYfiWx3x2SPC9UsLBGyfwZZY5TLatWC6NnbZ3e1GxF7Ghzz9+Qe7/bmbbebasNoe/iXhUJ87PFEybybUvK5z4fHNJmVkkJmTPzCa5rcUVvb6xqR7vq5DxeG/BlIcZQghIX75EGsppAuH1ZxjF5a3fw60BiOrdyUl8e/m5q4vqaGEquV63Nzu207Gy/+Jnj/mnBw268eCguvU+J625ugBx7fH6r63Nam9ZyHJWm7+NvMugoyRnf61ZBi7AGJr9O8JfwP0TGpwZ7WYfEhRWfFvZGhOFNKfltZyTfhhlMpQvDS6NFR96fHNJUYaS9mIYXQbSve4cKQj4m4UsbypX1/1lCA0UUwN14iT5YOZFosPNPczP0NDawMBFjo8XB2eTlGEuo5gi0q66YVaYB7gJRte+LT26FmdTK32N5vvTPqfkjmvoYWGWPgxVPgoWnR1wuojLahzNFpaaQJgV0IHECWxcJBES7l1YEASyPquBpNkwcbGnijpYVV4QLhPIuFne32NheYjfgd3f8oTpbG/o7NkJ+JALxiTiAU94RVIpDImAebHaUIWhUuSjoxLY3lfj9vtLTgCxsNHVVAWGMYfXZtpZdA/q7tvddtqTBzkDwU6tZ1dGN1RGJqIEwQXd6Wnc0+On42Zv9eHeawoGkjNKzv+Lk9DRzpA388A0mOxcKrpaW843ZjCQuluiIypUJEX0kG8FJLC2+63ZjAFTk5nJ2ZyeNFRTzS0MBWXedIl4tdHA5uqKrqtquhBkwZCaoDw8SINCXQ+0PDZG/KuJCv+B+OoYZ0UoTg/sJC9kpJYVMoxEKPh0caG3nd7cYnZVRHRIFqRdtXhIBzP1bd/ho3wZRTYZc5fd5sUtjleFj/TvedDSXQsFuAtM1W7M2WTgyJoYbOMnat1p+tKdfQtIPoM20PujTmAkr2GdBD2S7kWCyc0YUM+1SHgzE2G5tCIfRwnxAD2ppN3Vdfz1kZGbg0jStzo3X4Y2MnsdySN4xab/bAkDciK/x+ahNI3TOx8AP5uAhwGt9RlX4MV+TktF1UE202TmlsjMrksKN6jAghuDs/P2nS0PY0OPz2pGwqaSy+Ez76v/gC6Fnf2xFSdDETsYBFBz3cRAXCP2NmIlK1ez3g2o5bGIpkToCmPlTrW50w5iCYfbfqwT6csQnBM8XFvO524zZNnmtujmq4Znbjdv7e31VzCMUJ6UN8mpcAQ9qIrPb7Obe8PM6l1cNLw6SUJixAKkGuyc3tYBRiL75Ci4VnR48mTdMSTi9sJdAMn9wGjZthymkD15QqEX56X9UgxFPSKxBoRneuLEDv7PLruHzZYhU0jvX5D0UOvQVe7WUNvNDg7I9UTcgICqemcUpGBqDu0z/W1hKSErsQnJ6R0dbhM5buDIwGXa43HBmyRuS5piburKtLUBNHMoZGLuUzAlj4gMnso+t84vGwyOslU9M4PyuLMzMzWdDcTFBKbEJwSXY2Ob2UPqj7QeXuf3Qj1P+o6jLWvwXG48qFNZjY8AFdGhDNBlnjoT4iCC7aokt9u+GkqfqKW4aBEZl8AvSma5DQ4KJvoGh60g9pyPDz9HSKbTaW+f1MsNk4uIu6rlWBAC3dbGdmJ02thjND0oh4TZO7EjYgAgsGu1HJp4znK8bQZCnioooKaiNiKl/4fMwvLmaG08mGYJAZTmdCUiaRrHwGXr9IaScFI8R/Q1749pHBZ0RydwFhjXFlaarDni0V5jymFF6rVtBmbPpqQAhv6rsnVR3FUMfuAksqGAlWr485YMSAxMMMp5MZMQHxcl3n0YYGfFJyjMvF1dXVHcVZI7himPcPiWXIGpHeYGDhfXbFBGY5nRyVksJDDdFN6gLAIq+Xy3NyOLwLscV4eft3nQenhVXpKA02pp8HGz6E1c+r96UHgLdaKe76G+CZo+C0N1TKaXeCgAljqrRiR4YSZsxIamPawceMc2DpQ4mtU/5NXPWyI8TQZBicsnUrTaaJCbzrdndbCHBISgrTk9QDKHuVg1MmTuhxuZuTsrf+Y8g5CAwpua2mptcVqIVWK6+NHs3DxcWdCh7aULnlyUDvJHZnT4e0UXBE1+02BoTadaoi3RdhQzULnPQc3OiD/wupft7NW1W7VlAzqGd/DrZ+KHJr3ASvX6j6m1T2uchxcLNvx15dPRLywPcvJv9Yhjrf+v0EpWwTZQ0BsbdlqcXCTbm5vDN6NA8UDcLR3XZmyBmR191uPushs6I7ynWdP9epYfTP09LItljaRiYCmOJwcFI4UNdX9v6dEjME5Q465BY471O4/MftO9r+/B6YNwOeP1HJk9fG6DlZHcqg2FI6Vknrfmjpp5TcYIt6fXRj/2x/sJAzEay9mOS+dl73M5jqVfDtY7Dls94f21Ajy2KJaodjF6JD2G+rYTDF6Rz2HQy7Ysi5s8pDobbiv95gAj+Fi4yyLBZeHT2aDz0efFKyl9PJTnZ70jIzjrgTivdUMYTR+8LOP0/KZvtE0KMe0kYw7GoT8P4f4PQ3Oi6bu7PKJPtufrtmE6g001A/NiqKlDUfqux0LKxJcGYR8iqpnEV/hOK94ISnIDVc/rDudXjpNNqyqA++qWPr4+HIdIeDY9LSeMvtRkOl8H8fDEYZFonS6dp1JKDeKUNuJrJT3B3GOjc0Atg7wueZabFwYkYGZ2RmsrPDkdTUPiFUH/PD/jQ4DAh0EqORKt7RFXMehb0vU9lZbdvo/USwR4QGs67sv+0PFvbupcpuyAveWtiwMGw0wnxwrfou5FE/F93UK7moIYcQgtvy83ll9GieLSnh2ZISTkzr6I9NGwk2dcmQMiIe0+SPtbVxLt35RbGP08lN4WpUQ0pea2nhXw0NrOiDi2xHIiUXxh6suguC+rnvVV0vL4TK2mrLxtLUTKTf0GDTon7c/iBh3MEwozcyN+G/gxmC8q8jPo41GL3LPRmyjLXZ2NluxyIE4+z2qKeDAMaOuLK6ZEi5s5b4fLQkNLxqr46e1uLg5KX5TMqyY58DaHBNdTWfeL34peSRxkb+VljIgUnuGTLYEEL1Uv/6QZV1tcscmHBE9+t8fk+7/IY0u5dD6StSh/KlULZExQ5cBX3bnhAiB3geGIfqkX6KlLLD3EsIsQloQSln6FLKmYms3xvm/AuWzevdusICBVPa3x92m4qZmAZoVtjvD4llcsmw0PJwKPi0CIFNiLYmVylCkDrMuxd2x5AyIks7aVnbOa2GRt1FzmoL438+imV+wWohsUzRmfS2j4UeT5smll9KHm5oGPJGBFQPkURcRraYjEdpdlJPkkTKPodnjlGj7VNegp8d3afNXQ98KKW8Uwhxffh9V13DD5VSxk51E1k/YQqnQ9Xy+JfPKFVdJgunwUnPt3++2ymqGHTrEtXGeOLs+Lf51YPw/tXq7znzt3D034Z2KvGctDTmNzbSHC4VmGC3s2+S0nqHIkPGvHpNk7fc7p4X7IQJC9KxNmtYvRqmR+BdaeGhDzwdZvzOkdFIpxz7QLhlboYaAUO7AbHYk5/ya4Yg0KR8+6+e2+fNHQ+0toKaD/xygNfvljPeaj+nPSGsKuPvf/1w0VeQHqNUXrKX6lOfiAGpWgELrwHDr2abyx6D7/8T//o7IlkWC6+VlnJrfj53FBTwVHFxr+WMhgN9eioKIXKEEB8IIdaHf2Z3skypEGKREGKNEGK1EOKKvuyzM6SUnLR1K/UJFRlGXBQmiJgmeyFdfeAEXEKQKgRXjVSqdsq4g+HSNXDC0zDmwOjvhCXcWCsCeya96U7cKcHu9Cnio1BKWQEQ/tmVg0wC7wshvhFCXJzo+kKIi4UQS4UQS2tqauI+uECLcj/FgzThu3/Dj++2f6b7VaZdb6n7QRmnVkI+qF3b++3tKKRpGsekpXGEyzViQHqgr+6seKbyOnC1lPJbIUQ68I0Q4gMp5fd93Hcb23SdLXoivpPoi+L7KxpZf14zsy7PJ+/bFFrGBamd6ccGPFFURKVhMN3pHGmF2Q2ZpeplT4Nnv1If0aByAAAVy0lEQVRxEasTSvZW4pJVK1QasGZX/UGaNrVrhfUWawpMi0Os8IgjjqCysrKzr7IS2N3+UspyIUQB8IEQYq2U8pN4V5ZSPgw8DDBz5sy4A3cJtUM2oWYVPP8rOH8xLHtc1Y0IAftd2ztF6KI9o92SNieMPbDr5UcYfvT1qXg8cEj43/OBj4kxIuHRWetIrUUIsQYoAZJmRBytBUK91X0QEMo0WfxoFaVvuth6rBeHXfD7nBympaQwLVkHOgwYfyicu0jVJaQXK70rTzX851SoXq16XJz4lKr1eGByz0akOwHHKacrV1pPLFy4sNPPhRCNgCGEKJJSVgghioDqTo9DyvLwz2ohxCvA3sAnQFU86/cWWyoc/wS8fHr860hDGY+Vz6p/S+DLv8PPjoKxByW2/+zxcNqb8N6VahZy0I0w7pDEtjHC0KavRiRqKh8epXWJEGIcMAP4sptlLgYuBhgzZkyPByCl5C/hCnOnx4MjFKIpK2KAmYBRkTbYcoKqknu6uITJI8VFvaJkb/VqJWM0nP+ZcrcsvA4e2FV9HmjufjsynADRlSFZ+TTse2V0FlIveB04B7gz/PO12AWEEC5ACw+CXMCRwK3xrt9Xpp4GK5+D9Z0UfHaGZlXjKSNG+6dhQ+JGBNTA4DdDXGpmhN7TY0xECLFQCLGqk9fxiexICJEGvARcKaXs8vEhpXxYSjlTSjkzPz+/x+3+X00Nb3nUg9/vcvGLV17hwfPP75MaXbamjRiQfuDL+1XqsKdKvbqSlW81HiL8n+ziKpVSFdX1kTuB2UKI9cDs8HuEEMVCiLfDyxQCi4UQ3wFfAW9JKd/tbv1kc/rrcOD/9rycsMCM81TGmhkxy5OGEq8cYYRk0+NMRErZZZWAECKuqbwQwoYyIM9IKV/u9dHG4DNNXovMyBKCZ847j2/32qtXBkRDucbuKSxM1iGOEMGmRSqjqjtkJ5ZFdJEvoVnVLKcvSCnrgMM7+bwcODb87w3A7oms3x+MntXDAhY4/A7Y/xp4aCrtjSIB1yjI3amfD3AA0KVEoGo5kkVQSl4Mdz08ODU1SrFihJ7pa85q61QeunYFCOAxYI2U8t4+7q9nhGDN1Km9MiK72O18NGYMs0Yuon6heK/2SngAi7Pz9NWamT5CqSa6w0S3d51xVzgNJp/YDwc6SLHYuy/2E4RneEBTGVEzvaRK828HpJTcUVvLHhs3ssfGjcxrSEo9J1JKLq2s5N76ep5sauKSyko+8vSj8NsQpK9GJB5XwP7AWcBhQojl4dexfdwvACmaxuw+9vRoxSkER6elkZEkmfcRopEm7HkxTDoBLA4ld3/GWx1rFgQC11YrW+a0ULm/F6l1HVgvmtG37K4djfGHwqg9uv5eGspd+MntMPHIdvkZi1O935FZ5PXyUkuLkgsAHm5sZHkSpIgaTJOlPh/+cHW6X0rmNzX1ebvDiT4F1uN0BSwmaVUBHbkzP5/Pvd4E5U7UL360y0WVYVBtGBzjcnF+Zmb/HOQwYfOnsPgONWI+5BYYFXYAlX8DTx+lAunpxaqmJHu8+i69BDbvGXZztbpeKu1MXNCzVtF3/4ayz+DCL/tZr2uQoFnhwiWq2G/dm7DqmY7L6D74781wbT0svF6dn9H7wlF/HfDDTSpbQiFCEfe4BmwOhZju7Nsf3iFEVFGxANJHiooTYocvfFgWCHTbyrIzrCjX1S35+SNV6EmiaiU8c3R7zGPjh8pYZIyG53/Z7k5pLoNXzobzP1Xv83aBy9bBq+fAxkUkJAwY8kDDRvjxPZiUUJrHjotmhSlzYbdTYe3LneuUSVMZ1Z/Hkf68o7Cn04lVCPSwITGhzwYEwKVpXJqdzbzGRqwoVd+RouLE2KGNSEhK3nG7CcQ5CymyWLgmJ4dSu52d7XasI5WoSeOn9zqmlG7+BKaeDu6IOj9pQuPG6OWatsDWL+iVsqw0ovvTDxeEgFNehgXHtYtftqFB5bLoNOsdnalOJ3cXFPDPhgaswNW5uYyNu+1D91ycnc1hLhdVus5uDgdZIy7thNihh+HXVVfzSkv8uhcVhsE1NTV4TXPEgCSZ9OL/b+/eo6MuzwSOf5+5JZkQLiEBAiSCAvbguqBFreJRBLzRI9hzVOy6FdQV19NWu6t7irtHXdfVUrueuqvWLtp6aU+tshYv1BsqVettpUhXrYoXUDHhDgnkOpdn/3gnZjLmMhkmM/ObPJ9zcpjfzG8y7y8zzPN739/7Po8bxuqk2pW7qe4kdx0E3IX1qSm1Uw40DDw7rC/xWtE2WHMZbHkxs3Z7VbQdnv+h+zv4UmajaxTWZ5j9t5DNKy9n9cSJrJo4MeuTX6aEQswOhy2AZMCzQSSuytrmZgaaKDYGXL0jq4uKDW545bDTXbDwh2DGEleXBGDx71wFxLEz4JjLXW32ZHUnunK7nVfOfAGXjbbHxIMCc2+GskSWNo27Ya3f/e1gHVlh2rLODeVFWyCekpvMF4DSES7vVmfvcPeH8NK/w+u3uftz6cMn4bGL3etHBrFMgMkPzw5nCe6iWCalcPcPKFGjSYfPD4sfgf0N7kusPGmdaOkIOPve3p9bPgYueR3+cL27pjJjKTx9ZfeSu4jLk1U22q1Ub93T/Xf0VX2xKKV2pH3uPQiUQajc1Vy5pdIF4pOvcxMeIq3gD8Kf/hsu2wg73nZ112uOdtOlB8O7q1ym5WiLu07z8TOw9KX0Z+Bv7uhgxe7d7IvFuGDECBZWVAxOQ03GvBtERDiprIxnWvpZvdaD07M0Ldh8VUVNZs+rOhzO+S20NcId06A5NdGtunxcsfau2u+di+mCYdcTGkomn+IWD+7e5IYOQ8NcTXUR+PTFpEJhUVh3reuxAURj0PQFPH+NCyadf8NF97qaI9n2v3e4AAJu6PGLN10utWFprOc9EI9zQX09TfE4CtywaxcVPh+n2P/fguLZIAIMeFaWD5gbDjMlGOSGnTuZU17OyUOgyFShat8PDRvcF0rTVpegUeOJIY8eOpjt+5I21PV4Dj3VpaI//qpctbow+ENw8avw/mr35TztLAiPdo/9+YHude41peOtcVj/8+4zu569enCCSHi0u971ZRvU9ZTSsamjg5h25TBoU+WF5mYLIgXG00HkiFCIdb30RDp7y6HE7dnhMIsqKljV1MQd+/bRrsrjBw5wXVUVi6yLnHP7PoW7j3XFjjpa3Bm0+ABxJVx7lZTKw18K5z/a/YL+UBIocdN9Ux2+EN575KspZsTnem0TjnNTsJOl1nzJltNuhc/+6H5/rAPm/dj1mtIxzu8necJfiUjWZmSZ7PF0EPm8jxoitYEAN1ZX0xiPM6u0lBF+P83xOP+wfXu3kre/bmy0IJIH6651a0c6r3t063j0MV4+8lBXiyQYhoX3wDsPQVklTD1zaNT/Tsf0c6B1L6xZ1v3+4XXu2tSu99z063jSN/Rhpw9OW0ZNhis/ceuIKmpg5KT0nzs+GGT56NHctMtVJD66tJQLRw6kBIzJBc8GEVXlrT7SHjTG4/xdQwOVfj8/HTuWGX4/QRF88GUQEWCELTbMi9Y9KRfOk/UwlCU+lzJleK0LGtMWwgNz3OwjEZg8FxY/Wty1vwfi65fC/np49SeAuj/pN3/maoG07nG9t84gEihzf9vBEhoGtcdn9tzzhg/n7IoK2lVtJXmB8uS7cvuePRy1eXOfPZHmeJwIsD0WY1lDAx2qhES4pqqKEhGG+XxU+Hwsr6rKXcPNl479fvdkjH3xhWDeLbDpCXjjNnj5JvjVXHcRPtLsFht+8hzszFqZs+Iw53r4mzVw+m1w6RuutwbwtbNh8jz39w+UuetKhbziPyRiAaQPInIgZXupiNyRuH2SiGwQkaiInDMYr++5nsgrLS3c39hIpJ/9oim3d0WjjA8GWTx8OLPLytgWjTItFLKEi3ky5XS44ClXsW9/fd/7aswtrOvsucTaoT1G9x6L9NGzGaJevtn9iA/mr+gq3iU+dy1pz4duu3LqwfXgVN0F/p3vudLHVvmwoHwGLAWuHqwX8FwQ2RyJfJk/B9yQlB96XXQouDOZPbEYNYEAIsLEYJCJdoEu7yadDGfdDQ+f42YKSQB8Pjdc1brXBQtfMDFVNWWIS/wQDLmL8L4AjJ/lviRV3eK2vZ+43z9Y6x8K3cdrXQCJJLKar/0nl4p/wjFuWwRGT8vOa6292q2Qj7a6tSAL7oSZS7Pzu83BUdUtACK9VeU5eJ4LIjNKSkg+4VSgNhik1u/n1bY2YrgZWX9VUsLmSIQWVTricZY2NHBCWRm3jR2LzwbOC8bUBfCdtfDh72FEHRx1iQsKG++Dv6yCUYfBhpUpKd8FZl0Gx10Jm9a4oHPEYneG/dT34a17Xa9EfLB4tffToGdixzvdL5wjsPPdriCSLaquYmXna0VaXCp6CyJZVSUi65O2V6rqyqTtMhHZmLRdiav1lBOeCyJHlpYyzOejKWnV+WeRCGtqa3mxpYUP2ts5sqSE48NhVjU1sWL3btoAVHmttZXXWluZbWtDCkrdbPeT7KiL3A9AuMpdIO5MNDj3JjghsS7kuCu6nhNtc+sfkhMSrrtuaAaRCce6YNwZfFWh5uuD81q+QPeAFRjglGtVpTEep9znI2gneD3Zpaqz+ni8VVVndm6IyFKgr/2zynNBBOCIkhLebG0lihuuqk0MTZ0cDndbPLg/Hv/K0NcBS3niOXOud0Fm53tuls/43v579PD90993kohUAg8Bk4AtwHmqujdln8MT+3Q6FLhOVW8TkX8FLgU619j/s6o+SZ7VzYYFd8C6693Q32k/gbFHZv91RNxakLVXu9fRGJzxn/0/7+22Nl5pbWW4z8dDjY18Go3iF+HWMWOYY4sJPcWTQeRH1dV8d9s23u/oYGIwyJ291ESfV17OXXv3ElXFDwRFOM5K33rSofPdT18CJfCNf4Q3O+toqKs53o/lwPOqukJElie2f5i8g6p+AMwEEBE/8AWwOmmXn6rqf6R5KDkz8yL3M9iOuRxqT4DdH7jeTuVhfe//SksLV2zfTkeiXnocNywdUeWqHTt4bdIkQtYj8QxPBpHqQICHJ07sd79DgkEenDCBB5uaCAFLRo60VM9F7tQfw5Qz3IX1uhNdTq5+LALmJG7fD/yBlCCSYh7wsap+epBNLThb34Anv+umTB9/lVtrkq5xM7oqWfbn7n37vixHm0qBxliM6oAnv5oKjogcgzvhGQWcJSI3qOoR2XyNon+npoRCXGtrQYaUyae4nzSNVdUGAFVtEJEx/ex/PvBgyn3fE5ELgfXAVanDYQAisgxYBlBXV5d243LlwHb41fyuAl/P/MDVg5n2zb6fl4nSXnoZAWBcIMBoO9EbEFUdlrJ9H3Bf4vabQP9n3Aeh6IOIMfPnz2fbtm09PTSgHBoiEgIWAtck3X0XcCPuJPpG4Fbg4tTnJmbTrASYNWvWwOsXDLJtG7vXb4m0uPxaqUFk8wuuxvuIOjc7LpjB6PAPKivZUO8WB8WBI0tKaI7HqU2kObHZk95iQcQUveeee67H+0VkHxATkZpEL6QG6Kti2ZnABlXd3nlH8m0RuRtYk51W51blYd2nUQfDUD29+z6b1sCqxV21QTY9ARf9ceALFb9WUsLva2t5q62NcYEAf52FWukmfzyfSyCmym8aG7lmxw4eaWpCMyhSZYa0x4ElidtLgMf62PfbpAxlJQJPp28B72S1dTlSOcUtEgyUuh7J9HPhqJT+1Bu3d68N0rDBpfDPRHUgwGnDhlkAKQKe74ncuGsXTxw4QFuiXO7WaJQrKyvz3SzjHSuAh0XkElyKiHMBRGQ8cI+qLkhsh4FTgctSnn+LiMzEDWdt6eFxzzjqIrdIUOOJcsUpykbhTjsTs+Q1nn5ad4C2eJynmptpiceZX17OWLt4XhQ8/y52BhCAVlX+p6nJgohJm6ruxs24Sr2/HliQtN0CjO5hv+8MagNzTKSX2va46dKbX0jUBonASdd21brvT4cqF9TX82kkQkyV2/fu5ZEJE5hg6Yc8z/NBpNznoy3WlQjFEioaMzhGTYYrPnIX4YeNG1jurY1tbXwWidCaOOGLxuM8sn8/V9gJn+d5/prIzdXVlIowTISwCDdWV+e7ScYUrZLhcMhJA0/emHpqJz3cZ7zJ8z2RE8Nhnq2r4/NIhEnBoC0mNKYAzSwtZXpJCX9pd3V4y0Q4b/jwPLfKZIPngwjAaL/fFigZU8D8IvyipoaXWlpoicc5MRy2E74iURRBxBhT+AIizLXkikXH89dEjDHG5I8FEWOMMRmzIGKMMSZjFkSMMcZkzIKIMcaYjFkQMcYYkzELIsYYYzImhZw6XUR2ApmWIa0CdmWxOYVqqBwnZP9YD1HVnOfJOcjPtRcMlc9kf8fZ5+dLRJ5O/I7+7FLVMwbauFwp6CByMERkvarOync7BttQOU4YWsfqZUPlfRoqx9kfG84yxhiTMQsixhhjMlbMQWRlvhuQI0PlOGFoHauXDZX3aagcZ5+K9pqIMcaYwVfMPRFjjDGDzIKIMcaYjBVNEBGRShFZKyIfJv4d1ct+W0TkbRHZKCLrc93OTInIGSLygYh8JCLLe3hcROS/Eo//n4gcnY92Hqw0jnOOiDQm3r+NInJdPtppvqq/965YiMgvRWSHiLyT77YUgqIJIsBy4HlVnQo8n9juzSmqOtMrc7xFxA/cCZwJTAe+LSLTU3Y7E5ia+FkG3JXTRmZBmscJ8HLi/Zupqv+W00aaHg3gvSsG9wEFu/gv14opiCwC7k/cvh84O49tybZjgY9U9RNV7QB+izveZIuAB9R5HRgpIjW5buhBSuc4TWEaMu+dqr4E7Ml3OwpFMQWRsaraAJD4d0wv+ynwrIj8SUSW5ax1B2cC8HnS9tbEfQPdp9ClewzHi8ifReQpETkiN00z/SiGz5/JgKdqrIvIc8C4Hh76lwH8mtmqWi8iY4C1IvJ+4syikEkP96XOzU5nn0KXzjFswOUkOiAiC4BHcUN4Jr+K4fNnMuCpIKKq83t7TES2i0iNqjYkhnF29PI76hP/7hCR1bhueKEHka1AbdL2RKA+g30KXb/HoKpNSbefFJGfiUiVqg6FhH+FrBg+fyYDxTSc9TiwJHF7CfBY6g4iUi4iFZ23gdMAL8yweBOYKiKTRSQEnI873mSPAxcmZml9A2jsHN7zkH6PU0TGiYgkbh+L+wzvznlLTap0PqOmCHmqJ9KPFcDDInIJ8BlwLoCIjAfuUdUFwFhgdeI7KAD8RlWfzlN706aqURH5HvAM4Ad+qarvisjfJx7/OfAksAD4CGgBLspXezOV5nGeA1wuIlGgFThfLe1C3vX23uW5WYNCRB4E5gBVIrIVuF5Vf5HfVuWPpT0xxhiTsWIazjLGGJNjFkSMMcZkzIKIMcaYjFkQMcYYkzELIsYYYzJmQcQYY0zGLIgYY4zJ2P8DtDJ1Ex9Gt7cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1339d1d00>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Visualization of the cell type clusters in original domains *before* alignment\n",
    "fig, (ax1, ax2)= plt.subplots(1,2)\n",
    "\n",
    "fig1= ax1.scatter(originalX_pca[:,0], originalX_pca[:,1], c=cellTypes_atac, s=15, cmap=colormap)\n",
    "ax1.set_title(\"Chromatin Accessibiliy \\n *before* Alignment\")\n",
    "\n",
    "fig2= ax2.scatter(originaly_pca[:,0], originaly_pca[:,1],  c=cellTypes_rna, s=15, cmap=colormap)\n",
    "ax2.set_title(\"Gene Expression Domain \\n *before* Alignment\")\n",
    "\n",
    "cbar=fig.colorbar(fig2)\n",
    "cbar.set_ticks(tick_locs)\n",
    "cbar.set_ticklabels([\"H1\", \"GM\", \"BJ\", \"K562\"]) #cell-type labels"
   ]
  }
 ],
 "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": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}