[090c8c]: / src / .ipynb_checkpoints / Untitled-checkpoint.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bbb0a422",
   "metadata": {},
   "source": [
    "## Unbalanced Gromov-Wasserstein for SNARE-seq example\n",
    "\n",
    "To simulate imbalance between cell types, we subsample the ATAC dataset and try to align to the full RNA dataset."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9dfc03a3",
   "metadata": {},
   "source": [
    "First import the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3f33b6f8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dimensions of input datasets are:  X(rna)=  (1047, 10)  Y(atac)=  (1047, 19)\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn.preprocessing import normalize\n",
    "#load the data:\n",
    "Xrna=normalize(np.load(\"../data/SNARE/SNAREseq_rna_feat.npy\"))\n",
    "Yatac=normalize(np.load(\"../data/SNARE/SNAREseq_atac_feat.npy\"))\n",
    "print(\"Dimensions of input datasets are: \", \"X(rna)= \", Xrna.shape, \" Y(atac)= \", Yatac.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1031656b",
   "metadata": {},
   "source": [
    "Visualize the distribution of cell-types:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a2550bb1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+3u59C18dWEL/8HZ0CmqaVx6TnYxJGHFLnXBrAHe1G8H21COYDUY03TMrcEuNp7fNpKE1CC3fQo3wPrRXn9yPJnVic1J4o9eNPNPtSmKzU/KCtwEIIZjW/x4Wx+2gc1BTNiQdwN9sZXPKISQSHUmyM5PRTXqS5Mgg3p7G7W3Py4v8+VKPa8t8Xz7cu4DZxzdwSdNzeLjTxVzerC/+ZhtWg5ktyV7fCBccz06iQ2CTAn3dusbkbTPZmXqMRzpdzAWNu5X5vBUlzZnNTas/QtN1GtgC+X3oo4XavLF7NpluOytP7mVbyuFCaUAV9YeqmBH0A6KllAcBhBAzgbHA7mLaXw88XwXnVVQDr/Ucx6zjG2juG14gpk6GKwcfo6XAUlH3kBZ82OfWvM8u3c3UqCUkOTPoG9aGY9lJPNXlckwGI71CIrm73QiWJ+wmKiOObO9sIsGRVuD8EyKH4W+xMTXKszGsSR0hBCMjehQpb3O/MCa0HsYVK94m2ZmJlJ4gck7djY/JwsiI7hiFgZtbDy32mqMz4nhj92xCzP40tAUyoEF7BuWzEkp1ZjPjyCo0qfPr0TWMbz2swDLSTZGD+fHQf3QPaUGbIjKgbUg6wNrEKHI0J2/snlMjiiDJmYFb13DobmJzkgtYb+XSxr8R+zNOAJKmXmc9Rf2kKhRBU+BYvs/HgXOLaiiEaAlEAkvzFduEEBsBNzBFSjmrmL4TgYkALVoU7wmqqBwBZh9ujiz40JwatZhvDi4jzOLPD4MmYRCCbSmepaPgfLOGP46tz3tgNrAGkuTI4LntvzBj8IP4m2xc23IAn+xfeCooXD5CLP5M6TGOXmGtcesads3FSXs6d7W7sFSZNakTl5OKjsQijHQLbsEJeypPd70Cs6H0r/jLO35nT3pM3ufZxzfw06AH88Jg+5ushFsDSHfl4G+yEXBaKOoHOlzEAx0uKnb85n5hSCQ+RgvtvJva1U2kX0Mub96P5fG7ubX18CJzJH/Y51bWJO6nXUCEcpSr59T0ZvE44DcpCzwJWkopY4QQrYGlQogdUsoDp3eUUk4FpoInDHXNiKsA+P3YOjSpk+G2synpAO/vm0+6Kwc/k5VZwx7H4n3YmoURgWdfIMGeluccti8tlnPCWpOjOQsogfwexpc16U2vMM/ShMlg5M62F5RZPpPByKOdLmH6oRVc0KgrD3UcU8A7uDQa2YI4kBmfF2EUBO58cpoMRn4cNIkdqUfpGtS8TMolP818w/h+4AMczIxnQDVnJnPrGnNjNmEzmnm44xge7XRJsW19TBbOb9y1WuVRnBlUhSKIAZrn+9zMW1YU44D78hdIKWO8/x4UQizDs39QSBEoahZd6vxvy4+sOrmPdgGNyXDZsRnNtA2MINGRgSZ1XLpGuisnz3xybPO+ZGtO0pxZZLjszDq+AaMQ3LvhKwY36MiUXjfga7TkbSw/0vEStqQcontIS65vOahS8l7TcgDXtBxQob7Pdr2KOTGbEAK2pRxhUIMORPoX9EQONPsUWC4qLy39wmnpF17h/mXls6h/+OXIGs8GvtvJVS2KnJwrFAWoCkWwAWgnhIjEowDGATec3kgI0REIAdbkKwsBsqWUDiFEODAIeLMKZFJUkmPZyaxNjEKTOvvSY/lz2OOEWwOwGEzcFDmEP4+t5+ImvQvY0BuFgZsih5DqzOaF7b/QOagZO9M8q4Zrk6JYGrcrz4/A32TjulYDua7VQFKdWTy2+XvcUufZblcVaZfv1jWcuhvfKrbISbSnc9Pqj0lzZTOpw0WVzlNcVSTa09mXcYLeIZHlinh60p6OS9cwCEGiI70aJVScTVRaEUgp3UKI+4GFeMxHp0kpdwkhXgI2SinneJuOA2bKginROgFfCCF0PHGPpuS3NlLUHo1sQYRY/EhzZRPp15AIW3Decst97UdxX/tRxfadcfg/1iVFo0uZNwNw6xo2gxkJ2IxmWvk1yGv/zYFlbEnaSd+AOL7Zn8Xj3QpMGjmRk8Itqz8h023nic6XcXnzspt7ZrsdRGfE0yEwAqvRXKh+bVI02ZoDTer8fGQ117eq3MykKkhzZnPdf+/jljot/ML5fuD9Ze77QIeLyHDbsRnM3NhqSDVKqTibqJI9AinlfGD+aWXPnfb5hSL6rQaq34RCUW5sRjM/D36IQ5kJtAuMKNeaexOfEE9gOgHBFn+yc5KRwI60o0wfcB/70mMZ0rBTXnsjghsa7qVfQDytbRuR2jUI46mlmVUn95GjOdGkzswjq8usCJy6m3H/vU+qK5tmvmH8OPAB3FJjU/IhIv0a0MgnmD6hrTELE5rQuaxZ3Ug6E29PxaVr2HUX0RlxSCnLfP8b2AJ575zx1Sxh9bA5+SAf7fubXqGRPNB+dLm+c4rKoTyLFWxJPsShzASGNuzEd4dWIBDc3W4EviYrXYKblz7AaVzWrA+BFl8cmguQvLzzDwwIhjTsRKR/w0Lr75tSDnEwoyPfxXfki3b/0lGLhXyK4NywdpgNRqSUjG3Wt8xynLSnk+TMxKVrHMiIx665eHLrj2xNOYIAfh78EI1sQQxr2InFcTvJcjkA+HT/P/x5bD2XNj2HSR2LtwaqLtoGNGZ4o86sTtzP7W3OrzcPxMlbZ5LkzORAZjyDwjtwTpjya6gplCKo5+xOO86kjd8Ckm8PLifJkQGAJjVCLP408Q1hdETPcj2MhBCc16gLqc5sHtz4Df5GK5O7XllsGOcEexoOacJmcHNEG0hHc0Fv5uZ+Ycwf/hRZmqPI/YMfDq1g5uHVXNS0V4ElqyY+IQxt0InlCbu5onk/fEwWdqYez8svcDjrJODJqOaSGj8e/o+rWvbn+0MrvLOPVdwYOTgv/lBNYRAGXupxXY2esy4Qbg0k3ZWDlJ4QH4qaQymCek68PQ0hwK65PaEcvA/81YlRxOWkeNJAGq0Ma9S53GP/c2JbnlnmtAP/MrSYMZ7pdhXv7J5L1+DmXNjmakQRNu8+JkuRm6Y5bief7P8HTer8dPg/rm5+bp5NvBCC13sVtFt4qONFvL93AV2Dm9M7NBKJx4M6y+0gzBpAuMWfUIs/mW47vkYrgWafQuesKyyM3cbaxP1c32ow7QMjSu9Qx/mo760sjN1Gx6CmhWaNiupFKYKzlJjsZNYlRtE/vD1NfEOKbTekQUdGRfRgX3oskzqMYVPyAQSCDUkHiMlOwiSMZLkdFZKhY2ATBAIfo5meIa2KbTeoQQcGDauYaabFaCLM4k+G247ZYCTQXHJYjEub9eHSZn0KlM0c/BC7Uo/R2BaEyWDkp0GT2JZ6hO7BLcrtM1BTHMpM4JWdv+PQ3axO3M/C8yfXtkiVJtjix3XeOFKKmqVufssVlcKuubh59ce4dDdW4z8sOO+pYh9oJoORyV2vzPvcx7sue3HT3nywdz7NfMMYWULguZLoHtKS6QPvJdmRSe/QyAqNURpGYeD7QfezIekAPUNalcnU8qQ9nTnHN9IpqCkDG3TA32RlavRi9qWfoHNQU6aeO5Gh+Taz6yKiwHH92ENQVB9KEZyF2DUnds2FW2poUsehucv9ZtvUN5Q3e99UaVla+zeidRHxd0rjp8P/MT9mCzdFDmZ0k14ltg2x+Bcbi6goHtz0LQcz4zELE1/3v4tQiz/70mNxS51dacdJc2XnBaarq7Tyb8jz3a5hXVIU17VUb9GKyqHizp6FBFv8uKJ5X2wGM8MbdclL0H6mEJ+Tyif7F7I/4wQv7fg9X+iHqiHDlYMuJUJApttOqNWfHiGtMCDoE9qaYLNflZ6vurgwohuTu15J2xqKX6Q4e1EzgrOUeTGbsesuVibs4VBmwhm1+eZrsnpCYQvwM1kxVXGc/Dd63chn+xfRM6QlvUIiEULwad/byXDbCTDZ6o25pkKRi1IEZym+Jis53pg+tiI8ausyAWYfvhlwDxsSDzC0UaciI2cWRW7U0tJmQJ2DmvFR31sLlAkh6rSFkEJRnShFcJbyRb+JzIvZRJ+wNkT4FG81VFcp795Coj2dG1d/RLorh/vaj+SmyOLzD5ypSPchZPKNIHMQIVMRlrI71ykUJaH2CM4SpJRMjVrMI5umcyAjjuZ+YdzdfiR9wtpUaLwjWYkkep3LzgQ2JB8gx+0JQ/HLkbW1KovU4tCT70JP/R9Sz6q6cXP+AD0JZBYy88sqG1ehUDOCs4TVifv58fB/5GhOjmcn88uQh0vvVAw/HvqPz6P+QSD4/Nw76RzUrAolrR56h7bGYjThljpjT/MTqGlk+qvgXA4YkaY2CP+7Kj6WdgIca8A6EGEZgMz61lNhK3u+BoWiNJQiqONMP7icn4+sZkyTXtzfYXSx7fxNNnQpMQoD/qbKWQktiduBQ3djEgY2JR88IxRBI1sQfw1/kiy3vUIhIaRzAzi3gM9lCGMlrXAMDQAzIBCGsAoPI6UDmTgWpB2ED6LhSkT4AsCBMFVspqdQFIVaGqrDZLsdfB61iERHBjMOryLenlZs2x4hLXmpx7Xc1no4b1XS/v/WNudhMRgJMvtxYQ3k160qbEZzxZSA+wgy+XZk5vvI5JsrJYOUEgyBYGwG/hPB56pKDJbl+cEOMgOpnQRhzVMCUmrI7JnomdOQsmLe3woFqBlBncZqNOeFT7AYTASVYtVyXqMunNeoS6XPO6RhR1aOeAmgzppSSumAnD/BEI6wlZ7XuOTBchO4uEFPPTW+Fg/G5uW6B9I+H7KmesbK+QPhX3QuAenchkx/GowtEMHvIkTh360whCL9H4KcmWC9AJLGeB7+gS9i8L0Kmf0jZLwN6Ej9BCLwzA8zoagdlCKowxiFgR8GPZAXPsFmLHumqtLIzQ9U3EOuriqAXGTa82CfBxgg+G2EbUTFBzN1Bf97wLES4f8gUs9EJl4CeiJYz0f6XAPu7YAR4XsDwhB4Sg4tFvRMhNmbizjzYyDXAa7gn5d0HwTnVrANR6Y/D+4ocB+DnHnge3WRohn87wT/O5GZn3nf+nXI+R18rwI9HdA8ZV4FplBUBKUI6jjBFj9GVDDWT3Ecy0pi4rovyNIcvNP7FvpW0LKoVtFjAQdg9by5VwIhBML/Ho8yAKRzC+gpgBMc/4BjqecYI9K1FRHyubfdJmSyxx9BBjyIwe92TkUBMoH/pLxzSC0JmXQlSB2yGoG5B7gPARJMRYfnlnoqMuU+0E+C/yMgfEE6wHeCR26/W5H6CZBZiIAnK3UPFPUbpQjqIX/HbiHZmYVEMv3g8jNSEYjAF5Fpz4KxkeftuCoxdwZTC88bu6ER6Ce8FRro+fZpnBsAl6fcvgT8bkeEfITM+ADM3RC2i0+11RM9SgA7aDEQ9hfCOgyMTRCWYjKj5fwBrq2ec2R/j2i4DtAQwmMMIAx+iKBXq/baFfWSKtksFkKMFkLsE0JECyEKvZoIISYIIU4KIbZ6f+7IVzdeCBHl/Tkzc+ydYZwT1gaLwYTVYGJ4BfIM1AWEKRJD2A8Ygt8pcn29UmMLKyJsDqLRFkTIZyCaAhYQ/uB3GwB65qfIrC885dhAZqOnPQXGZoiglxGGYHDvOTWoqT343gjGlhD4OgaDFeFzafFKAMDUDk8acB8wd0EIc54SUJROZo6DbLuztsU4IxAFc8lXYAAhjMB+YARwHNgAXJ8/Cb0QYgLQR0p5/2l9Q4GNQB9AApuAc6SUKSWds0+fPnLjxo2Vkru+E5+Til1z0dK/QemNz2KknuLZbxAGROALngf46W1yZiPTngNywNQBQn+DhFxrKgHGjqDtAayIwKeQ2b+A+6CnNvwvhKmFZxztJDL7J4S5I1hHFJmAp9C5nVs9TmTW4Xj+1BRlYdXOQzz6xVyEEHz24JX0bNO0tkWqEwghNkkpCznaVMXSUD8gWkp50HuimcBYYHeJvTyMAhZJKZO9fRcBo4EZVSCXogRys3idTZQnybvUU5DpL4JrN2hHAQPS0BD87wbXDjCfgzB4Q1Ebm+B5T7GBsQXo+T2upVcJeDGEg3YcsAM+SMcykH0R5k7IlLvBvQuJBCTS9xYMgc+UKKew9Czj1SvyM3v1LpxuDYCFG/YpRVAKVbE01BQ4lu/zcW/Z6VwlhNguhPhNCJGbEb2sfRFCTBRCbBRCbDx58mQViF2/WJmwh2e3/czWlMO1LUqF0KVOXE4qbl0ruj7re2R8J/TEi5F6ZqnjyYz3wb7QqwQAjGBfiEwYjEx5AJl0BVLqAAhLX0TIl2C7DGQGZH/HqT+dfIrHOsLzph/0FhjbgKktZLyNTLoO6fgPZCag41EqQPZ36M5tFbgbitIYO6grFpMRq9nE6L4da1ucOk9NbRbPBWZIKR1CiLuA6cD55RlASjkVmAqepaGqF/HsJdGRwVNbZ+DU3SyL382/Fz6HyXDmLDNIKXlg4zdsST5MpH8Dpg+4r7D8WZ8COrhjwLkabCNLHtQQQt7X3zrUYyXk2uwZAzdox/BYJXn3H8ztIeVPwAXOdd5Bcv98cs1FDUjHCgy288DSF5k8Ac/MwAiunYjgj5AZb4JzFR6zT8A+HyxlT6qjKBuDurRiyVt3YxACH+uZFX23NqiKGUEM0Dzf52besjyklEnylOvjV8A5Ze2rqDwF0hrWbfeAIrFrLjYmHcAtNY5kJRJnTy3cyHo+YANhBHPp5rbC/z5EwP8QgU8jgj/wKg4rns1ZK/jdc9omtJlTD37P0g4iGIz5vr6OOZB6J3rKY8iTF4J7r0cmU3vwuQphbo8h9CsIfNM7lhVhG1WinFJK9Myv0FMmId3RpV6X4hR+NotSAmWkKmYEG4B2QohIPA/xccAN+RsIISKklLk2eJcBuYuqC4HXhBC5cZJHAk9VgUyKfIRZA3i7980sjdvJ2GZ9zqjZAICPycLQhp1ZmbCHjoFNigyrLQJfAd9bwNioyA3fQu2FGfzyhZPwHQ9G76qk9cLCew3CBqHTIe0F0LzbXzIJKCKWkGMeCCvgBOGDIXy2p7l0I7O+A5kN4X+DCEYYAwv3z49zNWR9BDIH6d6PaPB3qdemUJSXSisCKaVbCHE/noe6EZgmpdwlhHgJ2CilnANMEkJchmcOnQxM8PZNFkK8jEeZALyUu3GsqFr6h7ejf3i72hajwrzZ60Yy3Xb8i8kgJoQAc4dyjytdu5GpkzwP5ZAvEMbCD3bp3IJMHu+ZTvncBNm5dhBhoO0vemBDK88msm+epTQy/TXImQHonoe7IQQZ9gfC2KR4AYUNpAQMnmOFohqotPlobaDMRxVVhZ58q3fN3oTwn4Twvxupp4J9ARJfcK4E9wlwe99VTJ29/gEl/d0YPRFIbVdgCPSEA9dzFkPavae1s3iWp/xuKVFGmTMP6dqF8LulQGTUEzkp/HhoJR0Cm3BpLYfeVpwZVKf5qKIacDpcrJ61niZtG9P+nDPP8/eMwdwdnJvxhHrwzChk8m3g3o8nrAR4dlnMgAGkmZKVAHg8kOMgexrS9yqPH0HaA6e1sYAwgWVAqSIKn4sRPhcXKn988w9EZ8RhMZho6htK79DWpY6lUBSFCkNdR3n9xg94547PeGToc+zbeKC2xTl7seZaF0mk8PoN6LGcUgKeOgKnIBoshVKdwEweXwKsgAuZ+ji6OxaPNZIXnxsRDRYiGixHmCu+XOeWmscnQYBb6qV38LL3WAKrdh1G18+81QBF9aAUQR3l8M5j2LMcCCGIiTpRegdFxcieDuQADki5y+OUFvSOJ8ZQfpwrka69nqBvJeIGPXebSwf3Fki5j1OTbz9E4DMIY1OEIahSor/Z6yYuatKT+9qNom9o2WaNG/Yd47a3fuZ/U+fy3h8rKnX+M4l563ZzzUvf8dWCdaU3rocoRVBHeeiLiTRt25jeI7oz+Ip+tS3O2Yspvw1/JlKmgeVcsA7OV27whItOvf2UxVAh8lti6Xh8ELxoe/D4DRjB3LlAqAjpWIWe/pYnRHU5aeEXzgvdr+W6VgPL7FG9//hJNCnJcbrZecjzgiGl5EzcKywrbk3nhe8WceBEEl/NX8exk6m1LVKdQ+0R1FF6DOvCt/s/qm0xznqE3w1I1zpwrADLYEgYhBQ+EPQW5CwD0gAb6MdP62mh4PLR6R7PBk4tB+kg/MD3doTfKctq6T7uCTuBE2n/A9FwTZVeW1Fc0r8zizbt52RaJg9dNRTpPopMHucJmxHyKcI6pNplqGmMBkGIvw8ZOXaMBgOBvsr66nSU1ZBC4UVPug5cWwCDxwnMfZBTD3sTeeEhrKPBMhAyXsGjANzFjIhnLOHjMSO1zwODHyL4M4QxHOk+6MlJjAOEH4ZGW/J6uXWNN3fP4WBmPI93vowOgSWYmFYCmfkZMvNDz3WY+2EI+6FazlPbJKRmsnzbAc5p34zWERXPI32mU5zVkFoaUihy8bmSvAe+ey+nlIAZTG0RYX8gwhdgCPkA4XsNWC8FCju3FUQgwv8B9w7QosG105NiEhCm1hD4HFjP88QyysfS+J38fWIr21OP8sL2X6v2OvNj6Y/HIspaeliOM5iGwf5cM6xHvVYCJaGWhhQ1ii513to9ly3Jh3iw4xgGNGhf2yLlYfC9Dt19ELK/yVfYBvxuRvhcUjBFZfZP4PjttBGCwecacC4B7SAgwPcGhLEB0twVnGtASkQ+xzeD7zXge00hWRpYA5ESLAYTjWynNpWlazcIH4QpskquWVh6QYNFILOrbEzFmYdSBIoaZUvyYebHbiFHc/L89l/454KSwzDXONYLIftbPL4CRgifhbDPQ2ZORbqjwNIP4XcrONfm62TwtPe90aMA9JN4gtVpYPaE1RJ+94G5Kwh/hKV0569eoZG81fsmjmUlMqZpbwD0rO+8yeqBkE+qbD1fGBuV3khxVqMUgaJGaWALREqJ1WCiiU9obYtTCIO1L7r/g56ooH73QNYnyKyv8aSkxONpbGyM8LkK6VhCXvJ4gOyv8CiFnFMDZr4HPmM8Vj3W4eWSpVBYEMdKPNFMDUjnhnIrgtUn9/HW7rl0CWrGC92vOeNiTimqD6UIFDVKC79wpp47kb3psVzQuGtti1MkBv97wd8TDkJP+ZeCm8HeHAW285C+N3v9ECQgPBvIzv/yjwTWYVUml/C/D5my3bM05HN1ufu/svMPEh0ZJDszWZsYxeCGKk6/woNSBIoap2NQUzoG1XzGKCndoJ3wJIwvJu2jJ1q6BKzI1AfB8TeIEJBOT7llMFLaQToQfhOQjn9BT4eAyQifS5DJt4NrlXc0HezL0S2DEcZQRBnCY5eEsPRENKq4Q1Skf0MyXXaklDTzrXuzMUXtoRSBol4gpYZMugbcUWDuAqEzCzlhSec2ZPItgObxI3As8lZkIBosB+2IJw6RcwXSsRxDyIcQ/D7IHE9qSyGQtpH5FAGgH4HUu5BYkUGvYfC5pPyyu3aDngqWAWV2HCuKd3rfzPL4PbQJaEQr/4YVHkdx9qHMRxX1A/3kqUByrm0g0wo1kTlz8KzvOyFnHpjaAVYwtQZDqDdrGYAdtENI+2Jk0vXI5NuR2dMAEL7XgrHt6SN7xnRuLrfY0rEKmTQOmXIPMvO9cvfPj81oYVSTHrQNaFx6Y0W9Qs0IFPUDQ0Ow9PFY+1iHgigc50f4jEbm/AroCN8rPWEm3IfB1AohjEjbGLAvA+0QIugVpH0RHl8DHRyr0PVUhKkDBL0J2QvAOdeTQ0B3gsGK8JtQfrldu/HsUbgrpEgUirKgFIGi1tCzZ0HWF+BzqWeDthoRwgAh34LMAuFXaIlFz/oeMqaAsT2EfoowRngqzB4/Byk1cK7xpLj0lmEIR9qXejKO6Sch6yskglPJQb3HvuMwBE6umOA+V3osmPRkRMDjFRtDoSgFpQgUtYKULkh/CtAg8zOk7RJP3P5qRAgBuaGmTyfzQ8AF+iGEex/kKoJcedOe8TyQkRD2A8LcHWFsgmgwDwA98VLPtSDIsyLKVQj6yYrLbAxDhP9Z4f4KRVlQewSKWsLkWXfH6kk4X8mQzJXGOgiPE5gBTEWYVbq3k+cf4IoqVC2CPwDrKDDkWkNJMHUCy1BEwJPVJLRCUTVUiSIQQowWQuwTQkQLIQp964UQjwghdgshtgshlgghWuar04QQW70/c6pCHkXdRwjhid0T+DQi7PdKx+avtDxB7yDCvkc0WFwgHWRefcAzYGjsyWhmG5VXLqUdPfVhZNoTCP/7wJT71TYjfK7CEDq1yPEUdQe3pjN79S7+3rD3rA7HXRKVXhoSHoPsT4ARwHFggxBijpQyf+D2LUAfKWW2EOIe4E3gOm9djpSyZ2XlUJx5CGMj8L2+tsUA8PgVlGDnL6wDEA2LSOSSMwfsSwA7Mv1ZMJ/riSmEhhT+VNzYs+bQs+eAcxnC7zaEuW46+VUnX8xbw4+LN4OA9GwH1w7rUXqns4yqmBH0A6KllAellE5gJjA2fwMp5b9Symzvx7VAsyo4r0JR+xibkJd0xtAAtKPkhat27ctrtjJhDw9u/JZ/43bWkqBFI90HIX0y2P/y+EjUQ+KSMnC6NdxunfiUjNoWp1aois3ipsCxfJ+PA+eW0P52YEG+zzYhxEY8NnJTpJSziuokhJgITARo0aJ6NxUVijJjCMSzKayDdgQR/AHSuRZkKjj/RcpJZGsGntzyEy6psTHpAAvC2hBo9qllwXMxFHNcf3jgisEkZ2ZjNZu4ZUTpAQHPRmrUakgIcRPQB8gfgKWllDJGCNEaWCqE2CGlLJStXUo5FZgKnsQ0NSKwQlEC0rUXmTwRT0A6CXoyMuOjU85qehw4t2A09cVkMOLSNIzCgFHUnQeuMLVCBr0Lzv8QvjfWtji1QsNgfz554MraFqNWqQpFEAM0z/e5mbesAEKIC4HJwDApT2UAl1LGeP89KIRYBvQCCikChaKuIbM+B5mbqN4AeponNlGu+ajwAXNnbAYzn/e7kyVxOzivURf8TNZalLowBp8R4DOitsVQ1CJV8WqyAWgnhIgUQliAcUAB6x8hRC/gC+AyKWVCvvIQIYTVexwODAKKyw6uUNQtzOcCNsCKZ3nITW7AOsz9EOFLEIZgADr6ZnJf00N09sspbjTFWYJb0/ll+TZ+XLIJp6ukNKZ1h0rPCKSUbiHE/cBCwAhMk1LuEkK8BGyUUs4B3gL8gV+9Hp1HpZSXAZ2AL4QQOh6lNOU0ayOFos5i8Lseae6MxAw5v3hyElsvRFjOAZ+LEcKzDyBlDjL5OpB2yJoKDdcgRP1LoC7d0YBAmNrUtijVyo9LNvP5X2uQUpKUnsOkKwbXtkilUiV7BFLK+cD808qey3d8YTH9VgPdqkIGhaI2EJYeHhNRywsQ9ELRjaQTpAvQTx3XM0WgZ8+B9GcAiQx6G4PPqFL7nKmkZ9vRdR1deo7PBFSICYWimhGGIGTg65Azw5PD2BBQ2yLVPM7c7Gre47NYEdw6qi9J6Vk4XRr3jx1U2+KUCXEmetL16dNHbty4sbbFUCgUZUS6dnv8FIQBEfLtqcB9p/He7yuYvXonlw/qykNXDq1hKc9+hBCbpJSFbGTrjh2bQqE4axHmzhgarcXQcHWxSiAlI5sZ/24hPdvBT0u3kJKpNtZrCrU0pFAo6gT+vlZCA3zJyHEQ4GPF38dS2yLVG5QiUCgUdQKz0cjPz9zM9oOxdG/dBLOx6LzSiqpHLQ0pFIoycyI5nX827SM9q3qsYYL8bAzp1pogv/plVVXbqBlBJdmwcCvrF2xhzO3nE9mtZekdFIoqJjPHQXq2gyZhgdV6noxsO+Ne+QG3rhMe6MesFycUyvSmODNRiqASJBxL5IUr38KZ42Tx98v5I/Eb9YehqFFiEtO4/rUfcLo0Jozsw92XDqy2cyWmZ+N0u3G4NGIS09ClxKi+72cFammojEgpObo3hpx8lgyaWwOv+a3beWa4kivOLjZFHcet6TjdGvPX763Wc7VqFMIVg7rRMNiPx68djtFQ8uNj4/5jDH7oY0Y+MZWjCanVKltdZfXuw/y0dDMZOY7SG9ciakZQRt6c8DErfluLj7+Nr3e9R1B4IBGRjXj063v47/d1XPnwJWo2UAE2Jx/i0c3f4WO0MPXciTTzDattkc4oBnZuRYCPFZdb4+YR51TruYQQ/O+68/jfdeeVqf20vzeQ7XCR43Qxf93uap2t1CSH4pLx97HQIKiY/NdetkTH8Njnc9GlZOWOQ3z24FU1JGH5UYqgjKyevQFnjhOD0UDU5kP0GenJYnT+9UM4//ohtSxd0UjpQmbPBHSE7/V4YgJWZBzJhr+3YjQZ6H1h9ypVeN8eWEaW20G228m8mM3c1U5FwSwP4UF+LHjtTlyahtVct/6ch/dow5bo44Cgb4czP4dIjsPFz8u28sW8tQgBXz1yDZ1bFp+GNDk9GyEETpebk2mZNShp+alb35w6zNWPXMr3L/5K41YN6DKoQ7HtEmOSeHLUK2SkZPL874/TuX/RzjM1gcyaCpmfe471NETApAqN8/v7fzH9uZ+REu774FYuuv2CvLqU+FSitx6m25BO2HzLH155SMOObEk5BAh6h7aukHz1HYNBYDWYSE7P5r3fVxDga2HSFUOxWWr3z/vaYT3o26E5NouJiNDq3ciubt75bRk/Ld2KxWTE4XJjMhrYFBVToiIY1qMNlw7oTFRMIo9fO7zmhK0AShGUkZufu4brn7oCo8lY4hvxwm+WcWxfLLqm8+1zM3nzn+eKbVvt6Ol40ijiiZVfQQ5uO4Ij24kQgoPbj+SVZ6Rkcnvnh3C5NJq1i+CzTW+We+xrWg6gd2hrfIwWmviGVFhGBbz96zIWbd6P0WCgUUgg40fWfratyMahtS1ClfDr8u1IKZFSYjIaCPH34cLe7UrsYzIaeHLc+TUkYeVQiqAcmMow9e7Qry1miwlhEPQc3qUGpCoe4X8fUk8BJJg7op8cCdbzEAFPlmt55+bnruHQjqMYTUauffxUOur4IydxOlw4sp0c3H4EKWWFlo3aBDQqdx9FYXxtFgwGgRACX6u5tsU5qzi/V1uWbokm2N+HX5+9mQDfs8vPQQWdqwYO7TxKVlo2XQZ2qDMbyHpcV8AJ2BBhMxHmzpUfU9eZcvNHbFiwheufvoJrHxtbeidFtZHjcPHDkk0E+Ni4Zlj3Uq16iiMj286KHYfo3LLRWfNGX1mklMQmpRMe5Ffn9mLKQ3FB55QiqCfoJ0eDFgtCIMIXIYwNa1skRR1l3Ks/cDQhBQH88cIEGoXUw7DZZykq+mg9R4TNQAQ+jwj7XSkBRYkcO5mK3esXE59St61dzga2HYzlznd/5dM5q6mtF3OlCOoJwhCC8L0KYWpb26Io6jjP3zSCpuFBjDm3E11bFW8Vo6ganvhyHpuijvPjkk1sijpeKzJUyWKXEGI08AGenMVfSSmnnFZvBb4DzgGSgOuklIe9dU8Bt+Mxb5kkpVxYFTJVF7vX7mfx98sZds1AetTyZrBCUR2M7NOBkX2KN5FWVJ60LDvz1u2mXdMGBPv7kJyRjS4hsJY2oSutCIQQRuATYARwHNgghJhzWhL624EUKWVbIcQ44A3gOiFEZ2Ac0AVoAiwWQrSXUmqVlas6cDpc/O/CF3FkO1n4zb/MjJlKQEjJ3oUKxZnI8ZOp+PtYCfb3qW1RziiklKzZcwSpSwZ2aVWsschDn85iz9EEhBC8f89l7DmWQKcWjWjfrEENS+yhKpaG+gHRUsqDUkonMBM43XxkLDDde/wbcIHw3KGxwEwppUNKeQiI9o5XJ5G6jtQ9a3hSkndcHei6Xm1jVxdS6kipYi6d6Xz7zwaufuk7Lp78NdExiZUeL8fp4vjJ1Gpb/1616xCXPPM1T301r9rX2LPtTr5fvIm/N+wt8ly/rdjOY1/M5fEv/2LGv1twuNx8OW8tX85bi8N16m8jIS0Lp1vDIARuTWfCyL6c2/GU97WuS44mpOB01czfU1UsDTUFjuX7fBw4t7g2Ukq3ECINCPOWrz2tb9OiTiKEmAhMBGjRonbc1a0+Vl756ynmTV3MiJuHEhhW9dYUOVl2Hhr8DId2HGXCy+O44akrq/wc1YF0H0QmXQsyB0I+QViH17ZIigqycMM+nG4Nswk27DtG26bhFR4rNTOHq1/6jswcBxf168jzN4+sQkk9PPLZHFyaTmxSOj3aNmXc8J5Vfo5cXvlxMUu2RmE0GDAZDVzYu2DkgKiYRJwuz4JGdEwSX85fxw+LNwHgdGvc501m/9ptF/He7yvo2rIxAzq3KnSeSZ/MYuP+Y/hYzThcbnq3bcp7946ttmQ9Z8xmsZRyqpSyj5SyT4MGNT990twaTruTXud345mZD3PuxaUH+NJ1nRMH43GXQ6vv/G8vsQfikbrklzdnA5CWmM7uNfs80U7rKvb5IDMBFzJzWm1Lo6gEt47qi9FgIMDHynk9K2dcsOdoAjlOF063xuLNUVUkYUHyL7+4tYJ/I1l2Jxv3HyPL7qySc6Vk5uB260gpSS0ip/Kto/vSqUVDOrZoyB1jzsXl1vI8kp3ev19N11m6JYpAXytXD+2OwVBw+UjXJat3H8bp1kjLsmN3utkSHcvOQ3FVcg1FURUzghigeb7PzbxlRbU5LoQwAUF4No3L0rda2bfxAB/c/QXNOzbl0a/vxVKER+axfTFMGjAZe5adp396iCFX9S/T2E+OeoWd/+0honUjPt/yFmZL6d6ebXtFYrGakZrOuZecQ+rJNG7r+CAup5tuQzvz2ryny32NNYJlCDAVkOBzSW1Lo6gEI/t04Pxe7TB6vZQrQ/fWETQM9udoQirXn9ezagQ8jQ/uvZyXf1xEu6YNGDe8V165W9MZ9+oPJKdnExLgw6wXb8VkrNy77zM3XsgbP/9L45AALhtQ2FgkIjSQ75+8Ie/zxIv743S7844BFm+O4tcV27E73aRk5BRoD57YUZcP7MLs1bvwtVnQdB2T0UCrRtUXgqUqFMEGoJ0QIhLPQ3wccMNpbeYA44E1wNXAUimlFELMAX4SQryLZ7O4HbC+CmQqM+/e8RkHtx/hoDeEwqNf3YPRVHD69d8f68nOyEHXdH5/f16RisCR4+DHV39H6pIbn7kag9HAliU7AIg7lEDcoQSadyhy1asAIQ2D+O7AxyQcTaRl52bsWLkHl9ONPcvBjhW7S+1fWwhLD2i4DKQdYWxS2+IoKkllH5i5+Nks/PH8eBwurdqC4HVvHcHcl28rpLQychzEJWeg6TquVI30LDuhgb6VOlfT8CAu7teR7YfjOJmWRdPwoBLb+9ksPHFdwXhDAd7gjCaDgcBiUnI+d/NI/nfd+RgE7DgUR2TjUEICKid7SVT6ty09u4P3AwuBPcAvUspdQoiXhBCXeZt9DYQJIaKBR4AnvX13Ab8Au4G/gftq2mIook0jDEYDmktjyY8ruL7F3Xz/0q8F2vQd3ROLzYzZamLUhOFFjvPTa3/w2zt/8ft7f/HdC79gsZoZPm4QQgja9m5NkzaNWfzDcq5udDvPXjYFl9NVrEx+gb5Edm2BwWCg84D2dOjbFovNzM3PX1OVl17lCEOoUgJnIZk5Dm57+2cu/N8XrNp1uNz9hRBlVgJ7jsaz9UBMoY3Y2KQ0/t6wl7R8uZKllDz2xVwGP/wxd73/O/ppxhsh/j5cObgrNouJsQO7VFoJAOw8HMeL3y9i5r9bmPTJrAqNMbBzK168ZRR3XdKf128bU2w7m8WExWzinPbNqkT2kqgSFS2lnA/MP63suXzHdqDIp5iU8lXg1aqQoyI89cMknhr9KjtX7UXXJClxqcyc8idIGHh5X9r0aMX+TQdo1r4JIycMLxCCOT8eCyLp+c/7JZ7800M8MvUubH42hBB8+uA3ZKRksfXfXWxfvptzRvQoVT6zxczbS1+owitWKMrHv1uj2Xs0AbvLzTu/LmNQlwmAZ+nlqwXrSEzL4t5LB1b6YfXv1mienrYAIeC+ywZx4wW9AUjPsnPdKz+geXMlz37pVoQQZNqdLNt2ACk93rlxKek0CSv4hv7U9Rfw1PWF/2Z1XSIE5V76crk1EB6rQVcl9uxGnFNwk3lT1HF2Horj4nM7ER7kV+FxK8qZGz2pirD6WHn+98f46IGvWTt3I7oucTnczJjyBz+/NZv3V77ER/d/jdvp5vDOo4yacB6+AYVtq2+YfBWaW0PXJbe8cG1euY/XDnvX6n1kpmUDnk3kZu3Vm7PizCDXtt3HYqZHm1Pf27lrdjH9n424NY2k9Czeu6dyQQe3HzyBy62hS8nm6ON5iiAxPQu3puFwacQmpeflSva3WejeOoLdR+Jp2SiEhsFls+Jbv/coD346C6vZzLTHrqV1hCcrnpSSvzfsIzYpjWuH9Sgywmivtk2ZdMVgth2I5c4xZdsrLI3Dccnc/9GfaLrO3LW7+O258VUybnmo94oAICg8kGdmPExibDJrZm/gi8e/x5HtwOprJCstG7PFhJQSq68Vs7XoW2bztXLnGzcXe475Xy7O8zs4d0wvGrWsHccRhaK8dGjekJ+evpG4lAz6djhl22E0GhCAQFTJnsI1w3qwYsdBcpwuJuZ7yEY2DuXqId1ZvCWK2y/qlxdVVQjBl49cQ2xSOo1DA8osw3eLNuFwaThdGvPX7+H+sYMBWLH9IC//uAi3prP9YCwvjB9NsHc2n59xw3sV2JSuLGlZdoTwzLBSMgpbItUEShHkI7xJKJfeM4qwJqFMe2YGfUf1oPuwLny09jXWL9jKgEvPKWD5I6XE5XBhsZWeAnLI1eey7OdVAIy+rejlJYWirtKqcSitTgtJffG5nUjLsnMyNZPbLzrddaj8NAkL5PfnC78NCyF49JrhPHrN8EJ1RoOB5g2Cy3WeEee0Y2PUMQSigA1/boJ5t6azOSqGkU98QbfICK4/rxfDurfGUk3hp7u3juCWEX1Yv/donp9BTVMvw1BrmkZSbArhTUMxlCFm+87/9pASn8bAy/tiMBj48L6vWPrTfxhNBjJTsrjpuau55flri+zryHHw8JDniN5yiCseHMO4Jy4npFFwhWVXKBSVJyYxDYvJSIPgUyFi3JrOh3+uJComkU1Rx3FrHu9+m8VE/04teffuy4obrkScLjerdh2mZaOQvGWo2kKFofaiaRoPDpzM+HYP8Ojw50t1SV+/YAtPjn6FNyd8zOePTOfk8SQWfrOU7PRsMpIzkVLyx/vziu2/d100x/bHIqVk3tRFSgkoFNXAlugYrnvle56b/jcurfRN3KbhQQWUAHhMZh+5ehgfP3AF7Zs2wGAQGITA7nQTVUKojeT0bC5//hsGTPqIJac5ze0+Es/wxz7j8al/cePrP3HwRFLFLrCaqXdLQylxqRzYehi3S2P3mv1kJGcWChXxxwfz+PGV3+k7uidte0Wiazouh5sdK/cQveUQJrMJg9GAy+7CaDYW8Ctw5DjYunQnkd1b0rB5OJHdW2DztSI1nX4X9c5rJ6Vk7/poQhsHV/l+QWJsMhlJGUR2a1ml4yoUdZUXvlvIsZNpHD+ZxrDubbigV8n5hEvCaDAw/YlxxCVn8Pavy4iOSWTyDYWXczfsO0Z0TCKarhOfkoHDpfHZX2u4IF8u4/f/WJGX20HXdQ7Hp9T6rKAo6p0iCGoQSOeBHdj53156X9idzLQsNLeW96YupeSLx75D13T++3M9YyZeSJeBHdm7PooDWw8DYPW1cOvL4xg+bjD2LDtN2jQmJ8sOUvLU6Fc5sO0wBqOBb/Z+QGjjEL6L/oj4I4m06HTKoezL/33PnM/+AeD9lS/TtldklVxf9JZDPDTkGZBw7f/GFrtkpVCUxv7jJ9kcdZwLerUr9PZc12jWIJiTqVnoUhIRGlju/pv2Hycjx8HQbq0xGARGg4Gm4UHFWkLtORrPpE9mIaWkVeNQDF5fiaHdCv4dd27ZiM3Rx9F1aNMknMFdWpUox/JtB9h5OI6rhnSncWjNZYarV4pg6787mXzxaxjNRt7+9wUO7zzKnV0fAQEvz3mK3hd0QwhBZLcWxETHYTIZadWlOZfdO4q96/NN+ST0vag3YREel+/tK3bz1EWvgpQe+2KHC5uflRMHEwhtHIKPvw+tujQvIMuGhVtxZDuw2MzsXR9dZYpg538efwiXw8WaORuVIlBUiMS0LCa8NRNNl3y3aBPzX7ujQuNIKfl5+TaOxqdw6+i+NAiqHoXy9sRLWbhpH5GNQuncslFeeVRMIm/98i+RjcN4/NrhRVoWLd0azTPTFoCA64f35IErhpR6vtikdCSe+EGZOQ5mvXgryRnZhcJId2zREKPBgEDSKMQ/b8P5ZGom89fvpVtkY3q3awZ4lMuTX8/H6XLz3eJNBPnaeOuuS+jRuvpNzevVHsEfH8zDaXeRk2Hn+xd/YdnPq3HaXThzXDw56mV+e3cOAO+tfJlnZjzElzvfJTA0gJZdmuNyeKZ3Nj8rL81+ghYdT73dL/5+Oc4cJ067i9Y9WhIYHkC/i3rR8dziA3bd/tqN+Ab60KRNY4ZcVXmLi1wGX3UuoRHBHk/k5+q2J7Ki9slxuhj/5gwGPvgRs1btzCtPz7bnOU0lZWRXOLzzsm0H+PDPlfy6fBuTpy2oKrEL4WM1c/nArgX8HACe/fZvNu4/zty1uwqt3+dy6EQSbk3H7nSzvwxht7NyHLz0/T84XRpGg+CFW0bRINifDs0bFjI1dbk0jMKAlOQtEQFMfP83Ppmzivs++pOjCakA5DhcgETiue+J6Vl8MntVue5DRalXM4Lh4wax9q9NSF2y8799XHbPSLYv98Tvkbrkqyd/YsPf27jr7ZsJaxJKSCOPl2LzDk3QvBtQui4L7SlccONQlvy4Egnc+vI4zhnRg5PHk5hy80eENw3l9tduwHSa6Vn/S85hdup3VX6N4U1C+eHgp1U+ruLsZP2eo0THJGF3uvl49n9cPqgrAK0jwrhtdF+WbonmjjHnVjj4nObNqyHzHdck4UF+HI5LBijW8/nKId1Zs/sI6dl2Hrqy9NnA1PnryMjxRDOVUtK4hORUF/XrxNGEVGKT0rnn0gFsOxBL64hQUjJycGueYHLp2Z6wGb3aNqV/p5Ys334QAAH0ad+82LGrknqlCPqO6knHfm3Zuy4ag0HgsLuw+lhweH+pmltj85Lt3NfvKYwmA70v7M5Ls57g72+WEhDijyPLgX+wH03aFszj2mN4F36J+wrwxAkCeG/i52z6ZztGs5ETB+K5Y8qNFfImPrLnOK+Oew+bn40X/3xcWR0pqpR2zRoghMdrOL+zGMCdY/pX2nv2/J7tOHYylaPxqdx1yYBKjVURptw+htmrd9GiYXCh68slxN+Hrx4t+xJqgI8Vo0Gg6ZLmDYJp6N0/kVKyatdhdCkZ0jUSITyOdoO6tuKdX5cz4e2fyc5x4Guz8vKEUXyzcAMDOreki3cpSwjBraP65SkCCSzavI8lW/YztFsbxo/sg7+PtXI3pBjqjR9B7jq+rul0PLcdXQd35IIbhvBA/6dw5DjzvH49kUclmlvH6mPh861vc1ePR3HaXZhtZn6N+yrvYZ+f7Iwcfnr1d2z+Nq7731im3PQhq2ZvQHNpCCHwC/Llt5NfYyxnYokXrnqLVX+ux2A0cP2TVzDh5XHl6q9QlEZiWhYxiWl0jWyc57WrKB6XW+OnpVtYu+cIG/cfJ8jPyszJN7NkSxQf/LkSgPvHDuKG8z1WghdP/poTyel5/W0WE98+Pq7AfsL+4yeJTUpnUNdWDH7wY1xawdmT8P5v7IAuPFeJ5D7F+RHUmxnByj/W4fS++QeHB9CyU1P++nwhr85/mqSYZBb/uAKTyUSvC7qx+IcV7N94gOueuByLzYzm9vxSXHYXh3YcpeugjoXG/+Lx7/jn22UYDAKbr5VHvrybBs3D+fPD+eiajj3LgebWy60I2vRoxaZ/tnmsE7rWzDTxTEBKBzLlbnDthsDnMfgUH8VRUTLhQX61EujsTCE2MY1Jn8zCZDLw7t1jaRIWyPiRfZi5bAuarpPjcLNx/zEOxCYVyE6WS6MQf5LSs9B0HQH0bd+cNk1OmZDuPhLH7e/8ikHA8B5tuOH8XsxZs5u0rBxyA6pK7/9mr9nFszeNqHSeiNOpN4rgwpuG8vfXS9DcOt2Hdeb9u6fitLvY+u8uOg/swLalu0AIRo4fzsdrX0dKmXezW3VtzoGthxEGwawP5zPrw/lcPmkMbXq24rd35mD1taE53Z6QhAg0TcMvyI+73xlPi05N+Wf6cq56+JIik96Uxk3PXk37c1pj87PRY3jhRBj1Fsd/4NoCMhsyXgWlCOodKRnZ/LZyO22ahHN+JTOplcTE938jNsnzRv/Or8t55+5LAbhyUDe+XLAOm8UTKrpX26bsO34SKSV3XnzKAOT9ey7juekLSc928PT1FxRK/XnwRDJCQI7TzaaoGNKz7WiajsQTz6lFg2DSs+yk5zgY1KVVlSsBqEeKoEOfNvye+A1Iyb4NBwCB1CVul8aJg/E4cpyYrWYSjiaSlZ7NEyNe4njUCR796l5uf/1GnrnkdQBWzVqP26Wxbv5mRo4fzoKvlyAMBm6YfCUX3zUCH38frph0cd55x9xxIWPuuLDCcgshypQW88SheGZ//DddBnYocwa1MxpTWzzvST5g7l7b0ihqgUe/mMuOQ3GYTQY+vv+KPDPMqiYt81QOBD+fU3HF7ry4P1cP64Gf1ZxnFjr9f6eWbnVdokmdPUcT2LDvODlOF49NncusF2/Nq1+x4yABPla6RUaw71gC7ZqGs37fMVyaZ/agaTqHvJvdAD4WE0cTUmnRMLhKr7HeKAIg742825BO3PnGjexeE8WNz1wFwHNjpxB7IJ4/PpqH2Wri8K7jOLIdfPXE9zzy5T2YrSYc2U50r/e65tZZ+ec6XA43JrMRJNz/4e3FnltKyb8zV5GTkcPICcPLlLayPDx90avERMfx1xf/0DiyIe16t67S8esawtQSwuaCdgQs9UDxKQqRnm1H03UsGPICxlUHL44fyUs/LKJZeBCTry+YbSzEv3BIeoDjJ1O55Y0ZZNqd3HXJAKSUGITA13pKkbz8wz/MXuOxWmwaHojd6WbDvqNo2ilLq9NZsGEfa/ccZfGbd1XpzKBeKYL8jL3vIsbedxEAsQfiSE1IR+qSuAMJ/PfnejSXGwSYLCYCwvwLZT/S3BppCWkA+Ab5cvUjJefp/XvaUj55cBpSenIg3/3OhCLbOXIcPHPJFA5uP8KkT+9g2DUDy3Q9Trsrb8Pblc9e+WxGmFqAqUVti6GoBWKT0vNCNZzXoy1Dulbfi8/5vdpxfjlDVizZEk2m3Ylb01m+7QAvTRjFnmMJXDesJw5vELrVe47ktY9JTC9htIJk2Z1ICVW5QlRvFUEu2Rk53HPO/8jOFwd87/oodE0HCXGHT2IwGJjw4nV88+wM3E6vP4FXaxvNRroM6IAoxdoi6UQKmktH1zQSY5KLbLNh4VY+fuBr4o+cRHNpfP7I9DIrgpfnPMlPr/5Ot6Gd6Ny/fekdFIozmMenzmXvsQSsZhO92zXDYKj6dfPT2XYglsemziXYz4dPH7yykJe0y62x91gCEaGB9O/Ugs//Wo2Ugt5tm9A4JID3f1/BX2t3IyQkZ2Tj1ku22BQUnBVc1r8zscnp3DqqX5Vfb6UUgRAiFPgZaAUcBq6VUqac1qYn8BkQCGjAq1LKn7113wLDgDRv8wlSyq2Vkam8ZKZk4nK4CtzxrNRsQiOCyU7PwWgyEtI4iCseHEPc4QR2rNxDVlo2J495rAJMZiObFm/jnt6PM3XbO4US3+dyxaQxHN55jOz0bCa+dUuRbV659t08hWSxmek8oOwP9NbdW/LMz4+Uub1CcSZTG1bvH89eRVJ6NqmZOfy1dje3jupXoP6Od35h15F4dCkZ1KUVmqaj6ZIZy7by49ItaKU8+E8nt7UAGob489zNI6tN4VXWaPhJYImUsh2wxPv5dLKBW6SUXYDRwPtCiOB89Y9LKXt6f7ZWUp5y07BFA2585mqCGxbMdRrSMJjHvr6X1/+ezL19nuASv5to07MVX25/l1f/egq/IF8sPpa8EBVH98TwxMiXsWcXvVbpF+jLMzMf5rX5k2nY3GM14LQ7efnad7ir12Ps2xBNcKMgTBYTFpuZh6fexdM/PVTdl69QnJG8fdclXD6wK5OuGEL/TjWzPNinQzNsFhNGg4Fm4QWfF25NZ8fhOHSvhlq163DeG7/LXTmParPZyJyXbqvWWU9lFcFYYLr3eDpw+ekNpJT7pZRR3uNYIAGo1TyNmalZHN51DE3TOHEonoAQf4ZcfS4Gb0AqYRAENQxkwbSlTBowmZPHktA1nZlTZgEQ2a0lby5+jhdnPcHQa055S+5Zt5+Vv60tsxz/zlzFuvmbObjtCO9N/IJ3l7/EHa/fyNv/vsiFNw0rdnahUNR3moQF8exNIxg3vGe1mFMWxcQx/YlsHIrTrfHEV/P5cv46th88AXhyGVx/nid9pRDQJiIUs8mIEILWEaGF9hhPJ8jXRvMGQUXWWc0mzNX8LKjsHkEjKeUJ73Ec0KikxkKIfoAFOJCv+FUhxHN4ZxRSyiJfqYUQE4GJAC1aVPwN4K+p//DhvV/lbayC58EvpcQ/2I/gBoEkJ6SxedH2vHqpS0wWIwMv8zjkbfxnGy9c8SbCILjyoYs5b9wg1szdiK7r6LrOyeNJNGhWeszxiNae22X1tdKsYxPCIkK46uGSN50VCkXtIIRg//FTQem+mLeGb/5ezxt3XsyQbq15/NrhPHTVEOKSM2gSFsjG/cc5Ep/M1qhYjsSnlLg0lJZtJy3bXqjcz8fCtHKEv6gopYaYEEIsBhoXUTUZmC6lDM7XNkVKGVLMOBHAMmC8lHJtvrI4PMphKnBASvlSaUJXNFVlclwK17e4G72cUzWPd7GG1dfKZ5veZMVva/n2uZloLo0ew7vw+t+TWTt3E//9uY5VszYggA/XvFogMYzL6SIzNZuQ05agdqzcQ9yhBIZdO6BMuY8VpSOlJD0pg4BQ/zKlIlUoiiO/YynAE1/9xaJNp6KYmgwGBnZpiRCCO8ecS+eWnkflhn3H+HzuarYdOlHqbKAkLhvYhRcqEVLidCqcqlJKeaGUsmsRP7OBeO/DPPehnlDMyQOBecDkXCXgHfuE9OAAvgH6FdW/qjCZTQjKP4102l1obh1HtpN18zYx6tbzaN29JQ1bhHPHlBsxW8wMuao/e9ZF4ch24HK62LVmf17/tMR0boq8lxua38VXT/5QYOxuQzox4pZhSglUEVJKnr1sCtdG3MmDg57JixqrUJQHXZc8/Nkc+t73Aa/8uDiv/I07LmHJm3fx3f/G0bJhCJERoazbc5Tl2w/y0Kez8/pO+mQWWw7EFlACVwzsQvMGwRjLuNZvNAhuH9W3ai+sGCr7ujQHGO89Hg/MPr2BEMIC/Al8J6X87bS6XCUi8Owv7Dy9f1USGBbAkz88gMliwmgyMPr2C+h/Se/SO3rR3BrTnpnJs5dNYey9o/jh0Kd07HfKvjh3j8FjenrqC7Br1T6yM+y4XRp/T/uXeV8u4iLb9dzV87ECZquKymPPdrB+/hZ0TefA1kPEHz5Z2yIpzkBik9JYs9sTSfTPVTvIcbry6kICfOkaGcGfL07gtdsuAiEQAswmI7+v3E50bCLmIhLgLNocxbGTqWW2HtJ0yW8rt5fesAqorCKYAowQQkQBF3o/I4ToI4T4ytvmWmAoMEEIsdX709Nb96MQYgewAwgHXqmkPKUy/NpB/H5yGt8d+IRHv7ybodeWzU4/F3umnX3ro3nv7qnM/fyfAnVN2zTGaDZi8bES3vTUHkHXwR3xC/TFYDRw3g2D+e75X3A73cQeiGPTP9uq5LoqgpSSd+74jLHB45n+ws+1JkdVYvO10ntEd4xmT3a5qs4HragfNAz2JzzID5vFRIdmDbGZi95ObdMknDfuvJjxI/oghODtX5cz4a2ZTLljTKG1h0y7s9xyWIs5b1VTb8JQl8TY4FvITi/fm7nBILjmscu4fNIY1v21iR7ndSUoPIDZHy8gonVjzr9hcIG1xenP/8xPr/2BlJIWnZoRdygeo8nI1G3v1NrDKib6BBO7e0JsCyH4K+uHs2KJSkpJ0okUQhoFlTvaq0KRS47TxaETybRtEpYXSyg5PZv3fl+Br83MraP70TjkVJKqgQ9+hN3pxmYxcd2wHny3eBNGg4GOzRqw62h8hXwf5r96R5XmLq73YaiLIy0xvdxKAKDjue0YclV/xre9H7dbw2qzMOPY59z0bOH0kCkJacx4/Y88b+TE44m8t+JlGjQPI7gYk7GaIDQiBN9AHwwmI+FNQzFXIDpqXUQIQXiT0NoWQ3GG42MxF8h/DPD2r8tYuHEfEvh1xXbuvWwgd1x0Lpqu8+xNI/h6wTr6tG/O9EWbAI9/gSb1CimBccN71FgC+3qvCHwDfQgI8SMjJatc/cKbhvLexC9w2j1rh06Hk4RjSUQWEdfdN8CGzd9GVmo2ABfdcWGlgsJFbz2EzddaoYxn+fHxs/HVzvfYv/EAXQZ1rDF7bMXZT3qWHavFVGNLGzWF2xseOpffVmxnW3QMa/YeReqScef1ZMQ57fll+akl3z1Hy7dPZbOYePya4VwxuFsVSV069d62zmwx88nGKWXvIDzmpMOuHYjJYsp7eGpunUkDniZq88FCXbLTc+h5Xld6nt+Vj9dP4a5iQkyUhVmfLOChQc9wV6/H2bBwa4XHySUoPJC+o3vhG1B0FEWForz8umIbFz7xBSOfmMqxk6m1LU65ScnM4bpXvue8xz5jze4jBeo6tyo4Q8jMcbBq9xF03ZN0fsa/W/lxyWaaVOJNfkTv9jWqBEApAgAiIhsX8BAuEemxHko4epLnfnuUy+4bRbMOTUCCI9vJmrmn9i6klMQeiOODe79k7ZyN7F69j12r9lZK1g0LtuLIceJyuNixYnelxlIoqoNfl2/Drel5UTarmhyHq1K2+aWxaNN+jsSnkJZl50Nv6slcrhrcDX/vPlqHZg2KtABasiWaE8kZFTp3oK+V+y8fVKG+leHsmrdVgskzHmLD31vIySjs3Xc6mlvni8e+Z9ZHfzPxrZvpPKADb936CQajJ9nNou+X8evbc0HA0T0xHusBg0AITxrLirJq1noO7zqK2WompFEQF91+QYXHUiiqi6uH9uDtX5dhMRsZ1KVVlY79zm/L+GnpVlo1CuGHJ2/Apxr2tbq0bIRBCGwWE/06FoxiEOBrY/m79+LWdVIycrjmpe+QUtKxeQMOxSWT4U2HWxE1ZTUbeeOOiwtFNa0JlNWQF3u2g7FBt+Rt6JaXAZf1YfPi7UgJLm+88PxEtGnElQ9ezKX3jCzWkkXTNA7vPEp6Uibtz2mN32n7DbnWTTY/K2/88yydB3SokKwKRXWTlmXHVg17BAMmfYTD5cbHYubD+y7nnPZFZyXTdYnTrWGzVOz8RxNSSc7IokfrJiXunWVk2zmZlkVk41ASUjOZ9MkskjOyCfS1cTSh5LAS+Xlx/Cgu7d+5QrKWhwp7FtcXju2NwWCq+O1YO3cTUpc4c5x5jmX58Q/25fL7LyrRnPGp0a9wd+//8cSIl7mt00OFIpk2btUQq48FKT2b1QpFXSXIz1YtG8UX9GqL2WQkwNdK++ZFm10npWdx0dNfMuThj5mxdEuFztOiYTA92zQt1YAiwNdG64gwhBA0Cgng52duZniPNsQmpRMa4FumOAbn9WjDJed2qpCcVYVaGvLSqmtzIru2IGpT4c3esiClRNN02vaK5OjeGDR3QeeRw7uOk3QihbCIgqGYnHYnwiAwGA1sWeJxrJZIMlIyOXkskeYdmua1fWvp86yetYEOfdvQsIVylFLUP16eMJp7LxtIWKBfsYpmzZ4jZOQ40HTJj0s3c/35vWpMvtikNH5fuQOAk2klZwo0Gw3MmHxTXqa12kTNCLyYLWY+WT+Fax6/tFLjDLisD86cU0ogd5YhoEA5wLr5m7k8ZDxXNbiNI7uOM/o2Tz5UIQT9L+lD03YRBdoHhgYw+rbzCwSzUyjqE0IImoQFlTjb6N22GWajEbPJyMU1/KadllX23Mn+PtY6oQRAzQgKIIRg2DWD+P3deRXaKxh69QAiWhcM1HrxnRcSeyCeYdcMyAs7ncusjxfgcrhxOdz8+/MqHv3qHh745A4sZ4ljl0JRGzQJC2TBa3eQlm0nIjSwRs+949AJjAZR6t6An83Ck+POryGpSkfNCE6jQ5823PnGTRjN5bs1JrOJ6/43llZdmpG7MGg0Gbli0him/P0MF91+AUt/Wsm0Z2aQ4k16P3L8cMxWM1ZfCwMu9ezfKCWgUFQeX5ulRpRAlt3JrFU72Xk4DoDBXSMxlLKvYBAw/7U7GHFO3cktrmYERXD5AxeRmpDGnM8WlsmcFMDtcpMUm0zCkUSMJiOaSyOibSOad2iK5taYfMlrbF60AyFg5397eHeZJ+1CUMNAep3XhY792lbnJSkUijLicLnZeSiOtk3DCfKzldj24c9ms/OQRwlMf+J62jUN5+UJo3lu+kLcuo7NbOL8Xm1Zsf0gGTkObGYT7959GQE+FTcjrw6UIigCk9nEHVNuwulw8ecH88vWSUCHvm3ZvTYqL/FNx76eENUbF25l+/LdSCmREnIyPcrl3Ts+x55lZ+Xv67jkrpHKHFShqAPc8c4vHDyRjM1iYvZLt+JfwkP7+Mk07C5PoLnYpDTaNQ1nZJ8O9GzbFKNBEBZYOORMXUQtDZXA3e+MZ8BlfcpkVtq4VUMO7TzKkd3H8qyANizcyus3fUBI42CEQWA0GQgKD2TyjIcBaNY+AqvXwayBN6G92+Vm/6YD5GSqPAUKRU2j65LdR+PJcbrIcbiITUovsf2L40fhZ7PgcLr5eNZ/bI2OISPbTsNg/zNGCYByKCsTXzz+Hb+9M7d8nQQe90IBg684l3FPXsHhnUfpeV4XtizZScdz29GgWSjr5m2m3Tmt88xEHxryDNFbDhMQ6s83ez+olCdyWcn9DqigcwoFfPHXGqYv2siAzq14886LMZaQ7tSlaZx7/4eAJ2m9xWTC12Zm1gsTCPAteVmpNlAOZZXghqevRJT3TslT/676cz0Go+DEwXhu6/QQH977JQ/0f4rsDDvn3zAkTwlomsau1ftwZDtIT8og7lCRmT/Z+M82fn1nLulJFYtnkp9DO45wVYPbGBt8C7vX7Kv0eArFmc5dlwxg9QcP8M5dl5aoBADMRiPn92yL0WBASs/+Qo7DxZGE1JoRtopQiqAMBIT489i0+2narjGd+pd/p19KSfzhk/z27l847S5cTjdSlyTFJue1cdqdfPvsz7Tp0QoEdB/aieYdC4eZ3rchmheueJNpT//Is2PLETW1GOZ9uYSM5ExyMuz8/t5flR5PoahvvDXxEj594Mq89JQtG4bQoRiv57qKUgRlZOQtw/h230d8uPpVHvp8Yrn771ixB6TE4E1c7XK6C+RA+PWdOfz+3lyO7D7OpXeP5PUFzxQZjiL1ZDrCIHC7NFLi0ip+QV7OHdMLi82MxWZh4OX9Kj2eQlHfEEKwavchXF7fo4bB/pjPsMx4lVIEQohQIcQiIUSU99+QYtpp+fIVz8lXHimEWCeEiBZC/OxNdF/nGX37+dj8vGv3AgaM7Vtqn6UzVvLmkudp2bk54Elwv2nRqeQVBu/U0u1ys2vVXnS9aIe2vqN7cuk9I+k+tDOTZz5c6WvpO7oX0/Z8wJc73uGCG4ZUejyFoj4yrHsbrGYTFpORMbUcN6giVGqzWAjxJpAspZwihHgSCJFSPlFEu0wpZaHYqkKIX4A/pJQzhRCfA9uklJ+Vdt6a3iwuipjoE3x031c0aBFOs/YRpMan8edHC9BcWpHtjSYDM2Omcnz/CZ4e8yoWq5l3lr2YpxicDhdXN7iNnEw7Vl8LL816gt4Xdq/JS6qzbP13J//9sZYRtwynQ1/lb6Gom6Rm5uDWdMKLyFJYV6iuzeKxwHTv8XTg8nIIJIDzgd8q0r+2ado2gikLn+X43li+ffZnZn+ysEQLH82t88+3y+g6qCMfrXkNYTDw4KBn8jZoLVYzLTo3w2Izg/TkE1ZAelIGky9+ndmfLOSx81/A5XTVtkgKRZEE+/vUaSVQEpVVBI2klCe8x3FAo2La2YQQG4UQa4UQl3vLwoBUKWVuiL7jQNMiewNCiIneMTaePFm+HKDVSXJcKm6nG7fLTVZadvENhSfCKcCCaUtJTUgjKy2bX97KWynjtflPM/GtW3hj0XO06tI8r/zI7mNs/Gcbmlb0bONsRtP0PPNWXatYEnCFQlEypXoWCyEWA42LqJqc/4OUUgohivszbSmljBFCtAaWCiF2AOXa6ZRSTgWmgmdpqDx9q5OnZzzEF49OJyU+leP7TxSoC2kUREq89zIlJBxNBOCcET2Y+9k/gCdaKcCOlXs4uuc4I24ZViB/8L4N0Tw6/HmEQXDBjUN46PO7yiRXTpadn179HaPJyA1PX4nFdkZsvxQipGEQk2c8xJKfVnLZPaNULCaFohooVRFIKS8srk4IES+EiJBSnhBCRABFGr5LKWO8/x4UQiwDegG/A8FCCJN3VtAMiKnANdQqHfq04d3lL+F2azxzyets+sezAWwwGsjOKOgdvGPlHi65ayR9R/Xkq53v4shx8u2zM3lv4hfomo7JamLlH+uY8vczeX0Obj+CBBxZDnatLrud/7fPzmTuZwsBj5fzLc9fWxWXWysMurwfg5RFk0JRbVR2aWgOMN57PB6YfXoDIUSIEMLqPQ4HBgG7pWe+/y9wdUn9zxRMJiNT/n6GX+O/4r4Pb+OLrW/z9E8PFcxWJgQZKZlEbz1EWEQImcmZrJ27Ec2tIaXEZXcRdzC+wLhDr+5Pu96RhEaEcM+7E8osj9SldxlFVmuib4VCceZTWauhMOAXoAVwBLhWSpkshOgD3C2lvEMIMRD4AtDxKJ73pZRfe/u3BmYCocAW4CYpZamZHeqC1VBZmXzpa6yfVzBdnsVmpnFkQ16b/zTjO0xCc3rW/n0DfcnOyKZVl+Z8sOrVAktE5eH4/lh+fWcuSbFJtOzcnFteuBZrHYt2qFAoap7irIYqFX1USpkEXFBE+UbgDu/xaqBbMf0PAmf1nH/L4p2Fypx2FzHRcZgsZr7e+R5zP/uHNr1a8emD34CEuMMn2bFiN+defE6FzvnU6FeJO5KA1Wbh1lduUEpAoSgnui7RpH7GOYZVFOVZXM30uqArVl8rRlPBL9TAsX0JbRxM07YR3PX2LYQ3CSW4QSAmsxGz2Ui7c1pX+Jxutzsv4F1FMq0pFADZdifT/l7P7NW7qMzKwZlGQmomo56aysBJHzF37e7aFqdGUPkIqpmXZj/BwW1HaNKmEbEH4/Hx96Fp28YFIn1Om/wTP785G6lLTBYjD395N6GNQ0g6kcLzV7yJPdPOs788kud8Vhqv/vU0M9+YRa/zu9Kud8UViqJ+8/qMJfyzeT9GYcBkNNR4/t/aYsX2A2TkONB0yfR/NnBp/861LVK1oxRBNWM0GvMexu16Ff1QXjNnIzJvQ1fkxRia88nfRG06iK7pfPPMDF74439lOmfr7i15+scHKy27on6Tnu1A0yTCKMnIKXtS9jOdPu2bYzIYwAQX9a0fyk8pgjrAzS9cy5SbPsRsMTH2/tF5vgWte7TCbDWBELRVb/aKGubpGy7g7V+XERboxxWDuta2ODVGq8ahzH/1DjJyHDQND6ptcWoElZimjrNj5R7mf7mYxT+uoFO/drz97wtnrHOYQqGoXVRimjrKiUPxTOzxKHd2e4SY6BOF6rsN6cR/f6wDCYd2HmXPuqhakFKhUJzNKEVQy/zy1hwO7zrGkd3HmfH6n0W2OWdkd6y+Fqw+FiK7tqhhCRXlRdf1YsOIKxR1EaUIapn257TGYrNg9bXQvk+bIts8++ujvP/fK0yP+ojAsIBix0o9mcbMN2axYeHWUs8bE32Cm9vcx7hmE4necqii4itOY8+6KMYGjefykAns33SgtsUplbQsOyeSS07Qrjj7UZvFtcxFt19Ak7aNkbqkx/AuRbYxGo207RlZ6ljPXjqFqC2HMJmMvLP8JToUo1gA5ny6kPjDJ5FSMuP1P3j2l0dLHf/QzqO8fesnhDUN5cnvJ1XY8/lsZvYnf2PPsgPw1xeLeGRq8b+D2mbfsQRufftndF3y8FVDuW54z9oWSVFLqBlBHaDHsC70PK9rAd+CipB6Mh3NpSEMgvSkDLLSs3ly9Cvc3vXhQm+n3Yd2xmIzY/W10OuCIh2/C/HR/V+xf9NBNi7cxsJv/q2UrGcrg6/o5039aWZQGTLX1SZr9hzB5dZwujXmr99T2+IoahE1IziLeObnR/jyf9/TqX87+ozswZxPF7JjxW6cdhcfPzCND1e/mtd20OX9+Gjta7icbtqfU/pb69u3f8qOFXsQBoEwCCJaF5d6on4z+Ipz+WbfhwghaNAsrLbFKZELerVj+j8bybI7uWVEIUMSRT1CKYKziA592vD20hfyPjfv0AQhBDZfK627F95kjuzWskzjupyuvBmA0WjggY9up/8lFYuDVB9o2Dy8tkUoE80bBLPkzbvrVUwdRdEoRXAW0/vC7ryx6DmSYpMrFc/fbDHTfVhn9q6PIrxJKOffqJLcny0YDAIDSgnUd5RDmaJMaJrG8f0niIhsqBzaFIozlGoJQ62o2+xctRezxUSHvm0rPZbRaKRlp2ZVIJVCoahrKKuhs5TZnyzgyVGv8Oh5z/PvzFW1LU6dZfWcDdzS9n6m3PIhmlurbXEUilpBKYKzlJ2r9uHIduC0u9izbn9ti1NneffOzzlxMJ5Vf65ny9LCSYQUivqAWho6S7lx8lXsWx+N2WriikljalucOkvzjk1xZDmQEiJaN6xtcRSKWqGyOYtDgZ+BVsBhPDmLU05rcx7wXr6ijsA4KeUsIcS3wDAgzVs3QUq5tbTzqs1iRVWRk5nDmrmbiOzWos7Hcdp9JJ6DJ5K4oFc7fKzm2hZHcQZS3GZxZRXBm0CylHKKEOJJIERK+UQJ7UOBaKCZlDLbqwj+klL+Vp7zKkWgONs4Ep/CM9/+TYCPlSm3jyHQz1agPiomkfFvzAAB3VtH8PmDV9eSpIozmeoKQz0WmO49ng5cXkr7q4EFUsrsSp5XcQaRmZqFox5luKoI7/2+nF2H49i47xi/LN9WqD42KQ0hBHanmyPxqTUvoOKsprKKoJGUMjeIfhxQWtyBccCM08peFUJsF0K8J4SwFtdRCDFRCLFRCLHx5MmTlRBZUZMs/mE51zS6g2sb38mR3cdqW5w6S2TjMGwWEyaTgeYNgwvVD+oSyXk92xDZOJQXbhlZ8wIqzmpKXRoSQiwGGhdRNRmYLqUMztc2RUoZUsw4EcB2oImU0pWvLA6wAFOBA1LKl0oTWi0NnTk8OGgyu9fsx2gyMOHl6xn3xOW1LVKdRNN1Fm+Kwt/XyqAurWpbHMVZSoUdyqSUF5YwaLwQIkJKecL7UE8oYahrgT9zlYB37NzZhEMI8Q3wWGnyKM4sLr5rBPs3HcRsNVVLfKJdq/fx1q2fENG6Ec/9+gg+/mdmaGyjwcCovh1qWwxFPaWyS0NzgPHe4/HA7BLaXs9py0Je5YHwxF++HFCG3GcZI28Zzi8nvuSXE1/RqkvzKh//o/u/IibqBNtX7GbZz6urfHyFoj5QWUUwBRghhIgCLvR+RgjRRwjxVW4jIUQroDmw/LT+PwohdgA7gHDglUrKo6iDBIT4Y/MtdvunUrTu3hKbnxWBxydAoVCUHxV0TnFG43a5WTNnIw1bhFdJTKXqJDomkY9m/UfHFg25+5IBlU5EpFCUFxV0TnFWYjKbGHJV/9oWo0w88dU8DsUls2H/Mbq2asyQbq1rWySFAlCxhhSKGiPAx4rRIECCv0/1LJUpFBVBzQgUihri3bsv47eV22nbNJxebdV+hqLuoBSBQlFDhAb6MvHiM2MZS1G/UEtDCoVCUc9RikChUCjqOUoRKBQKRT1HKQKFQqGo5yhFoFAoFPUcpQgUCoWinqMUgUKhUNRzzshYQ0KIk8CRWjp9OJBYS+cuC3VdPlAyVgV1XT5QMlYFVS1fSyllg9MLz0hFUJsIITYWFbSprlDX5QMlY1VQ1+UDJWNVUFPyqaUhhUKhqOcoRaBQKBT1HKUIys/U2hagFOq6fKBkrArqunygZKwKakQ+tUegUCgU9Rw1I1AoFIp6jlIECoVCUc9RiqAIhBChQohFQogo778hRbQ5TwixNd+PXQhxubfuWyHEoXx1PWtaPm87LZ8Mc/KVRwoh1gkhooUQPwshLFUpX1llFEL0FEKsEULsEkJsF0Jcl6+uWu6hEGK0EGKf99qfLKLe6r0n0d571Cpf3VPe8n1CiFFVIU8FZXxECLHbe8+WCCFa5qsr8ndeCzJOEEKczCfLHfnqxnu/F1FCiPG1JN97+WTbL4RIzVdX7fdQCDFNCJEghNhZTL0QQnzolX+7EKJ3vrqqv39SSvVz2g/wJvCk9/hJ4I1S2ocCyYCv9/O3wNW1LR+QWUz5L8A47/HnwD21ISPQHmjnPW4CnACCq+seAkbgANAasADbgM6ntbkX+Nx7PA742Xvc2dveCkR6xzFWw30ri4zn5fuu3ZMrY0m/81qQcQLwcRF9Q4GD3n9DvMchNS3fae0fAKbV8D0cCvQGdhZTPwZYAAigP7CuOu+fmhEUzVhguvd4OnB5Ke2vBhZIKbOrU6h8lFe+PIQQAjgf+K0i/ctBqTJKKfdLKaO8x7FAAlDI67EK6QdESykPSimdwEyvnPnJL/dvwAXeezYWmCmldEgpDwHR3vFqXEYp5b/5vmtrgWbVIEelZCyBUcAiKWWylDIFWASMrmX5rgdmVLEMJSKlXIHn5bE4xgLfSQ9rgWAhRATVdP+UIiiaRlLKE97jOKBRKe3HUfiL9Kp3SveeEKKqM5WXVT6bEGKjEGJt7rIVEAakSind3s/HgepIoFuueyiE6Ifn7e1AvuKqvodNgWP5Phd17XltvPcoDc89K0vfqqC857kdz5tjLkX9zquassp4lff395sQonk5+9aEfHiX1SKBpfmKa+IelkZx11At96/e5iwWQiwGGhdRNTn/BymlFEIUa2Pr1dLdgIX5ip/C8/Cz4LEDfgJ4qRbkaymljBFCtAaWCiF24HmwVQlVfA+/B8ZLKXVvcaXv4dmOEOImoA8wLF9xod+5lPJA0SNUK3OBGVJKhxDiLjyzrPNrQY7SGAf8JqXU8pXVlXtYY9RbRSClvLC4OiFEvBAiQkp5wvuQSihhqGuBP6WUrnxj574JO4QQ3wCP1YZ8UsoY778HhRDLgF7A73immSbvG28zIKa88lWVjEKIQGAeMNk7Bc4du9L3sAhigOb5Phd17bltjgshTEAQkFTGvlVBmc4jhLgQj8IdJqV05JYX8zuv6odYqTJKKZPyffwKz55Rbt/hp/VdVtPy5WMccF/+ghq6h6VR3DVUy/1TS0NFMwfI3Y0fD8wuoW2h9UXvgy93Pf5yoEjLgOqUTwgRkrucIoQIBwYBu6Vnx+lfPPsaxfavIRktwJ941kJ/O62uOu7hBqCd8FhNWfA8BE63Cskv99XAUu89mwOMEx6rokigHbC+CmQqt4xCiF7AF8BlUsqEfOVF/s5rScaIfB8vA/Z4jxcCI72yhgAjKTibrhH5vDJ2xLPhuiZfWU3dw9KYA9zitR7qD6R5X46q5/5V9+74mfiDZ014CRAFLAZCveV9gK/ytWuFR0MbTuu/FNiB5+H1A+Bf0/IBA70ybPP+e3u+/q3xPMSigV8Ba23cQ+AmwAVszffTszrvIR5rjP143vAme8tewvNQBbB570m09x61ztd3srffPuCiavz+lSbjYiA+3z2bU9rvvBZkfB3Y5ZXlX6Bjvr63ee9vNHBrbcjn/fwCMOW0fjVyD/G8PJ7wfv+P49nruRu421svgE+88u8A+lTn/VMhJhQKhaKeo5aGFAqFop6jFIFCoVDUc5QiUCgUinqOUgQKhUJRz1GKQKFQKOo5ShEoFApFPUcpAoVCoajn/B+oyHFJ+mnT4wAAAABJRU5ErkJggg==\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": [
    "Xrna_ctypes=np.loadtxt(\"../data/SNARE/SNAREseq_rna_types.txt\").astype(int)\n",
    "Yatac_ctypes=np.loadtxt(\"../data/SNARE/SNAREseq_atac_types.txt\").astype(int)\n",
    "\n",
    "from sklearn.decomposition import PCA\n",
    "import matplotlib.pyplot as plt \n",
    "pca=PCA(n_components=2)\n",
    "Xrna_2Dpca=pca.fit_transform(Xrna)\n",
    "Yatac_2Dpca=pca.fit_transform(Yatac)\n",
    "\n",
    "plt.scatter(Xrna_2Dpca[:,0], Xrna_2Dpca[:,1], s=5, c=Xrna_ctypes)\n",
    "plt.show()\n",
    "plt.scatter(Yatac_2Dpca[:,0], Yatac_2Dpca[:,1], s=5, c=Yatac_ctypes)\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "504afba5",
   "metadata": {},
   "source": [
    "Randomly subsample different cell types in the ATAC domain for the \"unbalanced\" experiment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2c49b34b",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fc56bfa02e0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "props = [0.5, 1, 0.75, 0.5]\n",
    "\n",
    "index = np.concatenate([np.where(Yatac_ctypes == i)[0][0:int((Yatac_ctypes == i).sum() * props[i-1])] for i in range(1,len(props)+1)])\n",
    "Yatac_subsamp = Yatac[index, :]\n",
    "\n",
    "Yatac_subsamp_2Dpca = pca.fit_transform(Yatac_subsamp)\n",
    "plt.scatter(Yatac_subsamp_2Dpca[:, 0], Yatac_subsamp_2Dpca[:, 1], s = 4, c = Yatac_ctypes[index])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "408b53e0",
   "metadata": {},
   "source": [
    "### Now run SCOTv2 to align the RNA domain with the subsampled ATAC domain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6aab042d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "computing intra-domain graph distances\n",
      "running pairwise dataset alignments\n",
      "Unbalanced GW step: 0\n",
      "Unbalanced GW step: 10\n",
      "Unbalanced GW step: 20\n",
      "Unbalanced GW step: 30\n",
      "Unbalanced GW step: 40\n",
      "Unbalanced GW step: 50\n",
      "Unbalanced GW step: 60\n",
      "Unbalanced GW step: 70\n",
      "Unbalanced GW step: 80\n",
      "Unbalanced GW step: 90\n",
      "Unbalanced GW step: 100\n",
      "Unbalanced GW step: 110\n",
      "Unbalanced GW step: 120\n",
      "Unbalanced GW step: 130\n",
      "Unbalanced GW step: 140\n",
      "Unbalanced GW step: 150\n",
      "Unbalanced GW step: 160\n",
      "Unbalanced GW step: 170\n",
      "Unbalanced GW step: 180\n",
      "Unbalanced GW step: 190\n",
      "Unbalanced GW step: 200\n",
      "Unbalanced GW step: 210\n",
      "Unbalanced GW step: 220\n",
      "Unbalanced GW step: 230\n",
      "Unbalanced GW step: 240\n",
      "Unbalanced GW step: 250\n",
      "Unbalanced GW step: 260\n",
      "Unbalanced GW step: 270\n",
      "Unbalanced GW step: 280\n",
      "Unbalanced GW step: 290\n",
      "Unbalanced GW step: 300\n",
      "Unbalanced GW step: 310\n",
      "Unbalanced GW step: 320\n",
      "Unbalanced GW step: 330\n",
      "Unbalanced GW step: 340\n",
      "Unbalanced GW step: 350\n",
      "Unbalanced GW step: 360\n",
      "Unbalanced GW step: 370\n",
      "Unbalanced GW step: 380\n",
      "Unbalanced GW step: 390\n",
      "Unbalanced GW step: 400\n",
      "Unbalanced GW step: 410\n",
      "Unbalanced GW step: 420\n",
      "Unbalanced GW step: 430\n",
      "Unbalanced GW step: 440\n",
      "Unbalanced GW step: 450\n",
      "Unbalanced GW step: 460\n",
      "Unbalanced GW step: 470\n",
      "Unbalanced GW step: 480\n",
      "Unbalanced GW step: 490\n",
      "Unbalanced GW step: 500\n",
      "Unbalanced GW step: 510\n",
      "Unbalanced GW step: 520\n",
      "Unbalanced GW step: 530\n",
      "Unbalanced GW step: 540\n",
      "Unbalanced GW step: 550\n",
      "Unbalanced GW step: 560\n",
      "Unbalanced GW step: 570\n",
      "Unbalanced GW step: 580\n",
      "Unbalanced GW step: 590\n",
      "Unbalanced GW step: 600\n",
      "Unbalanced GW step: 610\n",
      "Unbalanced GW step: 620\n",
      "Unbalanced GW step: 630\n",
      "Unbalanced GW step: 640\n",
      "Unbalanced GW step: 650\n",
      "Unbalanced GW step: 660\n",
      "Unbalanced GW step: 670\n",
      "Unbalanced GW step: 680\n",
      "Unbalanced GW step: 690\n",
      "Unbalanced GW step: 700\n",
      "Unbalanced GW step: 710\n",
      "Unbalanced GW step: 720\n",
      "Unbalanced GW step: 730\n",
      "Unbalanced GW step: 740\n",
      "Unbalanced GW step: 750\n",
      "Unbalanced GW step: 760\n",
      "Unbalanced GW step: 770\n",
      "Unbalanced GW step: 780\n",
      "Unbalanced GW step: 790\n",
      "Unbalanced GW step: 800\n",
      "Unbalanced GW step: 810\n",
      "Unbalanced GW step: 820\n",
      "Unbalanced GW step: 830\n",
      "Unbalanced GW step: 840\n",
      "Unbalanced GW step: 850\n",
      "Unbalanced GW step: 860\n",
      "Unbalanced GW step: 870\n",
      "Unbalanced GW step: 880\n",
      "Unbalanced GW step: 890\n",
      "Unbalanced GW step: 900\n",
      "Unbalanced GW step: 910\n",
      "Unbalanced GW step: 920\n",
      "Unbalanced GW step: 930\n",
      "Unbalanced GW step: 940\n",
      "Unbalanced GW step: 950\n",
      "Unbalanced GW step: 960\n",
      "Unbalanced GW step: 970\n",
      "Unbalanced GW step: 980\n",
      "Unbalanced GW step: 990\n",
      "Unbalanced GW step: 1000\n"
     ]
    }
   ],
   "source": [
    "import scotv2\n",
    "SCOTv2=scotv2.SCOTv2([Xrna, Yatac_subsamp])\n",
    "integrated_data=SCOTv2.align(normalize=False, k=50, eps=5e-3, rho=0.05,projMethod=\"barycentric\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "60bd0277",
   "metadata": {},
   "outputs": [],
   "source": [
    "Xrna_integrated=integrated_data[0]\n",
    "Yatac_subsamp_integrated=integrated_data[1]\n",
    "#run PC jointly:\n",
    "concatenated=np.concatenate((Xrna_integrated,Yatac_subsamp_integrated), axis=0)\n",
    "concatenated_pc=pca.fit_transform(concatenated)\n",
    "Xrna_integrated_pc=concatenated_pc[0:Xrna_integrated.shape[0],:]\n",
    "Yatac_subsamp_integrated_pc=concatenated_pc[Xrna_integrated.shape[0]:,:]\n",
    "\n",
    "print(Xrna_integrated.shape, Yatac_subsamp_integrated.shape)\n",
    "print(Xrna_integrated_pc.shape, Yatac_subsamp_integrated_pc.shape)\n",
    "\n",
    "plt.scatter(Xrna_integrated_pc[:,0], Xrna_integrated_pc[:,1], s=5, c=Xrna_ctypes)\n",
    "plt.show()\n",
    "plt.scatter(Yatac_subsamp_integrated_pc[:,0], Yatac_subsamp_integrated_pc[:,1], s=5, c=Yatac_ctypes[index])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ad6512b5",
   "metadata": {},
   "source": [
    "Compare with SCOTv1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "490e261c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scotv1\n",
    "SCOTv1=scotv1.SCOT(Xrna, Yatac_subsamp)\n",
    "Xrna_aligned, Yatac_sumsamp_aligned=SCOTv1.align(k=50, e=1e-3, normalize=False, XontoY=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9cc56f00",
   "metadata": {},
   "outputs": [],
   "source": [
    "#run PCA jointly:\n",
    "concatenated=np.concatenate((Xrna_aligned,Yatac_sumsamp_aligned), axis=0)\n",
    "concatenated_pc=pca.fit_transform(concatenated)\n",
    "Xrna_aligned_pc=concatenated_pc[0:Xrna_aligned.shape[0],:]\n",
    "Yatac_sumsamp_aligned_pc=concatenated_pc[Xrna_aligned.shape[0]:,:]\n",
    "\n",
    "print(Xrna_aligned_pc.shape, Yatac_sumsamp_aligned_pc.shape)\n",
    "\n",
    "plt.scatter(Xrna_aligned_pc[:,0], Xrna_aligned_pc[:,1], s=5, c=Xrna_ctypes)\n",
    "plt.show()\n",
    "plt.scatter(Yatac_sumsamp_aligned_pc[:,0], Yatac_sumsamp_aligned_pc[:,1], s=5, c=Yatac_ctypes[index])\n",
    "plt.show()"
   ]
  }
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