circuit-projects/E_Reciprocal_repression.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d36c765a-5bc0-464f-88ab-ca1dabbe4baa",
   "metadata": {},
   "outputs": [],
   "source": [
    "pip install -U dinkum-bio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "040ae377-699a-471a-bbdf-c469ecfea4d5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import dinkum\n",
    "from dinkum.vfg import Gene, Receptor\n",
    "from dinkum.vfn import Tissue\n",
    "from IPython.display import Image"
   ]
  },
  {
   "attachments": {
    "0f235424-37c2-4221-8f0e-545c702beced.png": {
     "image/png": 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qa2goe6Z7sSuI/+KLL2zGjBlWt25d32vesmVL/5mesw3CtT3VgQYNGuT3XZH8sw4CCCRXoIb7I1J6jHNyPTjyQhf45Fmz+y8xm/GRmdoPWm1tdsr1Zrsc7d7XKfSj5/gQQAABBBBAAAEEshEocndNmvyI2d0XmH3r5mnSzZK239nsxGvMug/JZkssi0ClCGTuSq2UzbMRBBBAAAEEEEAAAQQQQAABBBCoDAEC+MpQZBsIIIAAAggggAACCCCAAAIIVLEA18BXMXCuNq9br2mSOT3rdm4rV660Vq1aWZMmTfx1XTvssEOussJ+EEAAAQQQQACBShOYO3euvxOO7lSjmd91ezZde96sWTPr3r27bbfddpW2LzaEAAII5LsAAXy+n6Ey8qdbn2jGd03Eolu8aSIW3cJNs8FrMrkWLVr4AL5Tp06myed69epl/fr1s3bt2pWxVb5CAAEEEEAAAQSqV2DZsmW+jvPuu+/atGnTfB1HHRR6KIBXHadp06Z+oltNQKc736iOo8CehAACCBSyAAF8TM+uZkN98cUX7aGHHrJx48aVOArNoqp7iwb3Y3/77bf99wrkjznmGDv88MOtd+/eVr9+/RLr8QYBBBBAAAEEEKhOAd2JZubMmfb888/7Oo7uvx5Omr1d9RyNOFR64403/PNOO+3k6zjDhg2znj17+nqQ/4J/EEAAgQITIICP2QnVTQM0VP7GG2+0O++80+dewbpugaLh8ltttZW1adPGGjRoYPPnz/cP9cgvWbLEZs+ebX/5y1/skUcesRtuuMH23Xdfbl8Ss/NPdhFAAAEEEChUAfWsq8dd91YfM2aMP0zdti2o47Ru3drXcRTEB3WcxYsX+zrORx99ZHo8/fTTdvXVV/vb2NarV69QqTguBBBIsAABfMxOvlqiR44caf/73/98zlWw9e/f304//XQ76KCDfAAfPqRgmL3uwa7CUAXep59+ascdd5zddNNNvrV6yy23DK/CawQQQAABBBBAIKcC6qAYP368XXjhhfbxxx/7fTdq1MjfK/2MM87wnQ7qqAinFStW2GuvveY7NDQaUR0WGnV4/PHH280332yHHXaYEcSHxXiNAAKFIMAs9DE6i+pBv+yyy4qD92233dZuu+02++9//+sDcfW+R1OdOnV8gH/rrbfaE088YT/96U/9Iir0LrjgAj9EbfXq1dHVeI8AAggggAACCOREQMPmp0yZYr/61a+Kg/c+ffrYfffdZw8//LANHTrUjzKMZqZhw4Y+sL/33nvtP//5jw0ePNgvMm/ePDvvvPN8MK+ODBICCCBQSAL0wMfkbK5bt85+/etf+8JIWR4wYIBdfvnltvfee5taqMtKGmKvpHXUet2hQwc/lF4TxGgbzZs3t/3337+sTfAdAggggAACCCBQJQKaWf6Xv/ylzZgxw29fPefqiVe9RSMNy0rqqNBjv/328/UZ1XF0iaGukVdHhRoBevToUdYm+A4BBBCIlQA98DE4Xeohf/bZZ/1kdXq944472tlnn+1bpDcVvEcPT7dbOfXUU23EiBH+q+nTp/vrxb788svoorxHAAEEEEAAAQSqVGDp0qU2duxYP7pQPfG77767nXXWWX7o/KaC93DGdF183759TcPtdUmhkq6n1zXxuv0cCQEEECgUAQL4GJzJH374wTQEXoWckq5fHz58eIVz3qVLF7v44otNQ/CVnnrqKZswYUKFt8eKCCCAAAIIIIBARQR0V53bb7/ddA28AvYzzzxzs0YFKojXUHzdYk7pgQcesPfff78iWWMdBBBAIC8FCODz8rSUzNTcuXP9tepBy7SGu2fb815yi2a77rqrDRkyxM/sqmvrdT95EgIIIIAAAgggkEsB3TIuuFWc7o4zaNCgTQ6bLyt/6okfOHCgHXjggX47urZes9OTEEAAgUIRIIDP8zOpGVWDgk1ZPfroo61bt26bnWs1Bpx88smmW7IoffbZZ34Cmc3eMBtAAAEEEEAAAQTKIaDJ5iZPnuyX1L3dTzzxxFJ30ynHZkotopnnTznlFNMkd0qa1V71HBICCCBQCAIE8Hl+FhctWuSv4QqyqZ7zZs2aBW8r/FyzZk1/nVnLli39Nr766itaqCusyYoIIIAAAgggkK2A5t8JescbNGjg6yWbO8JQedBQfPXC6/7xSurlnzVrln/NPwgggEDcBQjg8/wMrlq1ys+kqmzqNnGVfc/2Nm3aeIElS5YwyUue/xbIHgIIIIAAAoUkoLvhLFy40B9S27ZtrXHjxpV2eOp91zaVNJpx8eLFlbZtNoQAAghUpwABfHXql2PfmnVet1dRatWq1WZdF5Zudy1atPDbVCGqAo6EAAIIIIAAAgjkQmDFihXFdQ91Uuj69cpKGpKvepNGHGoyYHVUkBBAAIFCECCAz/OzqAIouI+77gWvWVorMxUVFZmuh1ehGeynMrfPthBAAAEEEEAAgXQCCq6DusfatWvTLbJZnwX1JtVxKrNxYLMyxcoIIIDAZgoQwG8mYFWvrolY1EuuNH/+fFuzZk2l7nLBggWmAk7XnAW3XKnUHbAxBBBAAAEEEEAgjYCGuQfz+qiOo06Fykrq8NA29dykSZNKvwSxsvLJdhBAAIFsBQjgsxXL8fIKrDt06OD3qiFg33zzTaXlQEPXVLgpqQANrhWrtB2wIQQQQAABBBBAIIOAOg6CuofqN+pUqKz07bffFteZNDw/mLS3srbPdhBAAIHqEiCAry75cu5Xve/9+vUrXvq1116zr7/+uvh9RV9o2PyECROKJ65TI0GvXr0qujnWQwABBBBAAAEEshJo37699e7d26+jEYaql1TGZHMrV6608ePHm+b3Udp+++39w7/hHwQQQCDmAgTweX4CNSOrAvj69ev7nD788MP2ySefbHauNaTszjvvLG6d7tKli3Xq1Gmzt8sGEEAAAQQQQACB8gg0b97cdtlll+JF77nnnkrppFDgfscdd5gCeaUdd9zRtt566+L98AIBBBCIswABfAzOnmZR/elPf2p16tSxGTNm2NixY23evHkVzrmueX/22Wft1VdfNd2mbrfddrM999yzwttjRQQQQAABBBBAoCIC6jw48sgj/arvvfeer+Nszl1xdHngM888Y2+++aaf42f//fe3nXfeuSJZYx0EEEAgLwUI4PPytJTMlK4RO+ecc/wkLPrmgQcesLvuussXTCWXzPwuPHu9Csjf//73xbenO+yww2y//fbLvDLfIIAAAggggAACVSDQsWNHO+OMM4pnox81apQ98cQTFd7TSy+9ZH/+85+LJ/094YQTiofpV3ijrIgAAgjkkQABfB6djExZ0a1PNMTs7LPP9rOoamIWBfA33HBDuXvidTu6oOf9yiuvtMmTJ/vdHXLIITZs2DDTUH0SAggggAACCCCQSwGNLtx9993tzDPP9EH8l19+abfccovddtttxfeIL09+li9fbg899JD99a9/9aMVtY6Cd3VQBJchlmc7LIMAAgjku0CtP7iU75kkf2YKwDXJ3Jw5c3zBtHDhQnvnnXd8UK7bsOh2c5qxPl1SoTZ79mx76qmn7NZbb7Vx48b5xXRN2FVXXWX9+/f320+3bsF9tnCW2Yfjzb5zM92q+aqRa7jY5SCzNj3d+1oFd7gcEAIIIIAAAvkuoDqMhrlPnTrV11c0We+HH37obyunuo2+V10nXdIdembOnGmPPvqoD/wnTpzoF1OjgIJ5zfGjOhQJgQoLpNabzXPzT73/vNmK5WYpt6WWrc16DTZr1aXCm2VFBCoqULuiK7Je7gU02cvIkSP9jh955BE/U+s111zjh5qplXnffff1t2NRa3bQ467g/d133/Wt0i+++KIfUla7dm1foP3lL3/xrd4UbLk/l+wRAQQQQAABBH4UaNeune9U0Ceqr6jD4vLLL7fHHnvMTjrpJD9Xj24FpzqO0tq1a23JkiX21ltv+UsLdZceJX3ft29fH7z36NGD4N2r8A8CCBSSAAF8zM5m165d7frrr/czxutZM61qYrvf/e53/kh027ltttnGt1Rrojs9dGuWINWtW9dPWqeeeLV2E7wHMjwjgAACCCCAQHUK6JZyt99+u+lSv3vvvdfPIv/++++bHjVr1jRN6qs6ji4tVC/9/PnzfS99kGf11A8dOtSuvfZa69y5c/AxzwgggEBBCRDAx/B0Kki/9NJLfSH1j3/8w7c8B0H6d999Z4sWLfKBue71Hk66Hd1ZZ51lRxxxhL+WnuA9rMNrBBBAAAEEEKhuAQXomuPnqKOOsr///e++B155Up3mm2++sQUL3CVwLoUn59X7wYMH+zrOQQcdlHG4vZYjIYAAAnEXIICP6RlUK3OfPn3sj3/8o5/cTpPSafjYtGnTTNfHa2iZZq/XkLSBAwf6e8mrNVr3QWXCupiedLKNAAIIIIBAAgQaNGhge+21l3Xr1s0uuOACfymgbn07a9YsfwcdBe/NmjWzjm4Ge90GV7fD1evWrVub1iUhgAAChSxAAB/js6shZGqp1qNnz54+OB89erRNmTLFDy9TD/vJJ59sI0aMsG233TbGR0rWEUAAAQQQQCBJArrkr3379v6hOo7mAdIt5tRJofqNJrfTcHmNKtxqq62SRMOxIoBAwgUI4AvkB6AWZ/W2FxUV+WvGdFjqhVdrdJs2bQrkKDkMBBBAAAEEEEiaQJMmTXwdZ8WKFcV1nMWLF/v6DcF70n4NHC8CCHAf+AL6DShgDyf10Ove79HPw8vwGgEEEEAAAQQQyHcB1WXCc/doUjvVcfQgIYAAAkkSIIBP0tnmWBFAAAEEEEAAAQQQQAABBGIrQAAf21NHxhFAAAEEEEAAAQQQQAABBJIkQACfpLPNsSKAAAIIIIAAAggggAACCMRWgAA+tqeOjCOAAAIIIIAAAggggAACCCRJgAA+SWebY0UAAQQQQAABBBBAAAEEEIitAAF8bE8dGUcAAQQQQAABBBBAAAEEEEiSAAF8ks42x4oAAggggAACCCCAAAIIIBBbAQL42J46Mo4AAggggAACCCCAAAIIIJAkAQL4JJ1tjhUBBBBAAAEEEEAAAQQQQCC2AgTwsT11ZBwBBBBAAAEEEEAAAQQQQCBJAgTwSTrbHCsCCCCAAAIIIIAAAggggEBsBQjgY3vqyDgCCCCAAAIIIIAAAggggECSBAjgk3S2OVYEEEAAAQQQQAABBBBAAIHYChDAx/bUkXEEEEAAAQQQQAABBBBAAIEkCRDAJ+lsc6wIIIAAAggggAACCCCAAAKxFSCAj+2pI+MIIIAAAggggAACCCCAAAJJEiCAT9LZ5lgRQAABBBBAAAEEEEAAAQRiK0AAH9tTR8YRQAABBBBAAAEEEEAAAQSSJEAAn6SzzbEigAACCCCAAAIIIIAAAgjEVoAAPranjowjgAACCCCAAAIIIIAAAggkSYAAPklnm2NFAAEEEEAAAQQQQAABBBCIrQABfGxPHRlHAAEEEEAAAQQQQAABBBBIkgABfJLONseKAAIIIIAAAggggAACCCAQWwEC+NieOjKOAAIIIIAAAggggAACCCCQJAEC+CSdbY4VAQQQQAABBBBAAAEEEEAgtgIE8LE9dWQcAQQQQAABBBBAAAEEEEAgSQIE8Ek62xxrtQsUpao9C2QAAQQQQAABBBBAAAEEYipAAB/TE0e24yewdr3ZF8vNvl9r5l6SEEAAAQQQQACBzAILZ5gtW5j5e75BAIFEChDAJ/K0c9DVIbCiyOw/X5pd8JHZbBfIkxBAAAEEEEAAgYwCDx5l9vpNGb/mCwQQSKYAAXwyzztHXQ0CNWqYaQj9Yx+bXfKB2dRlGzLBqPpqOBnsEgEEEEAAgXwX+H4Ls0f/bPb8RfmeU/KHAAI5FCCAzyE2u0LAxfC2ep3Zk9PNrnQ98e8tNdNnBPH8NhBAAAEEEECgpEBtswXuk+dHmz1zXsmveIcAAokVIIBP7KnnwKtFwEXrtd3/uqJVZk/MMrt+itn7G4P4askPO0UAAQQQQACB/BRQC7/S1yvNxt1h9sKlG97zLwIIJFqAAD7Rp5+DrzYB16i+0l0H//hMs2vdkPppXBNfbaeCHSOAAAIIIJC3Ar6m7iL5eavNnr7G7LXrzdasyNvskjEEEKh6AQL4qjdmDwiUFnBj5msoiHdl8KPTzH7vhtN/4RrYSQgggAACCCCAQAmBmqo0uE80If2/3PXw7z3grsfbOJFOiQV5gwACSRAggE/CWeYY81LAX/fugvg1a9zEdp+YXfyh2ZcE8Xl5rsgUAggggAAC1SqgAF619u/d4+4zzSbf667Hc/elJSGAQOIECOATd8o54LwTcP8Li9yN4R9118Nf4Gan/5SRcXl3isgQAggggAACeSGgmvti93jgXLOX3Qz1JAQQSJwAAXziTjkHnK8CKRfEPzHVbKQL4qe4ie2UmJ1+gwP/IoAAAggggMBGAfXGf+ce//2j2bO/ggUBBBIm4AbwkhBAIC8EXIG8zg2nf3KGWS2XoQt7mvXZMi9yRiYQQAABBBBAIF8EFMDrovhvXMu/ZqdXD8DQUfmSO/KBAAJVLEAPfBUDs3kEAoEtXXNZAxeZ+3I3+DD67L5f7a6D1y3mbnCz03+wsSc+uhjvEUAAAQQQQKDABWqV0c9WQ2P0XI3ia3fd3Qt/Nxt/udl6F8iTKl+gVh3Xs1LGuaj8PbJFBMoU4NdYJg9fIlB+gbnu3u6vucll6rg7vUTHvtdyZeyydWbvfON62VW+lhHF+9np3W3lHnO3mCtyi16xs1m3Rm7GevfmezdfzZqNk9GWP2csiQACCCCAQGYBlVFt6rkYpYyyKfPafJO1gGaQn/OW2ZIfXKUgw8VydRu4a93nbRiSl2kHmp0+5U7afFfBePJK10vQ0my308xqu3VXLHLbdhWTGpzUTHzl+ryG6+tc5yp2S+e7BhLVykgIVL8AAXz1nwNyUAAC893f9utmm41y16/7yWXS/Y1XGaoxL/pfV0Z56otyt8wq1xP/mLvFXJFb9vpe7jZzrpH9ZdcAMN+Vx7XLWN9tnYQAAggggEC5Beq5smlAC7OBrcxauUCeVIUCCt6njHEz1/6f2WfuvnCuTE+bVBlwcbjVcwV+ytcM0i5mvifeffWte9zvroev666922pH10DgKiTf6Jo813tM2gwB57/eNZDMc55rXEVM9bh0dbzN2AOrIpCtAAF8tmIsj0AagRvmbAzeXWO6D9Ar43+WG06/1pUZj7uh9PXc9raoazZmutlcFdK6SJ6EAAIIIIBAJQqM2sfsvG6VuEE2VVpgztsueP/lhuBdZbkbYVdmKit4D1ZUo74emp3+/p+b9R7qAs4lbtjfay6gDxbiebME5KvgXQ8SAtUsUBlhRjUfArtHoPoFarkGdVPwXgV/2NXurvK7pis8/PBGCpDqP+HkAAEEECg0AXeJ1vtu1PV0dwnX9psKKgvt2HN5PEtdZWH2gqpriA8662u61gE1ENDgX0Vn11XGdM0jCYFqEOCXVw3o7LIABTScSo/KLCjd9mq7lvPDdzD7c0+zO+a4y+VcBcv0CApo95KUEIGg9V/PQdJvjt9CoMEzAghkKxBuEHZ/W1a5vymr9XeFVHUCRe6PtrvjjNWvxF2oHNCjiXucfJerJ7iT+PmtG4bnV3UZoTIp2lDgRg8W7DBzeer/SFN3fUOHXd0LEgK5FyCAz705e0yIgMq0lIJt/aEPgi4Vcpv4X+fXc4VfvYZmh3Vxk9jt5MoI93pgM3fb165uVFxbtwlVukiJEdDIi2nu0rtZ7vKJ5Rrt4d6rc2Wbrd1IyS3MGrrfA3XuxPwcOFAENltA86gsdOXTR27I9QJdlqWCR6mqg70Ne+HfqIAmmlvt8DUJbvhcuLLfT3pT1jB6TWKn790cBnbsta5Q+Kk7qTPdZHZfmW29vVu/Cq+BV0G0zE3u9vlHrnLy9Y+dGN3dNfitXe9DHTeUI1VopZPzbu4K3577u8K3afRM8h6BnAhsIpTISR7YCQIFKaDbsioA793cNba71+rZeNdVlt5yZZwax4sL6cjRp1zwXt8V2j9x617sysDujTcs0M8F8O3d55qNnkllI2gF/rauC9CfdZXsu91kR9PcZY3q7VAF/MD2Zie0M2vm6meZJjIucBoODwEEKiCgSetmukbBez4ze2qh20AQNAbPFdgmq2yGgG4v02M3s15DXYXBzWCrpCF4r9zrJqKb615v+KjUv+t1wty6rd0Ch1zgWvrdo6Y7uS06mu1xomsQcC2+mkW9qlItl8evJrtKze1ugh5XudGulKUd9zXrc5RZ49ZuAjj1ZBRYauJ6Uho2L7CD4nDiJJDpT0KcjoG8IpCfAi7QPsM1QB/igqwg3TjLbLKbSV6T0xVXmIIv9ewC/bpuWN3hLni/0AXvfdxkskFq7spJPUjJFFi8xk1i6AL1aa6upvqaeuV3cZ0be7iGHQX4JAQQQCAbgVauPHnbjQJ+KpuVWLZqBNzfd+t1kNnwP5Tc/ow3XGCcIYBXz7sKgzau0rDfz1yL7jU/rlvPtfzrkYukAL1hS5+V4t017WjWbheXBzdEjIQAApUuQLWv0knZIAI/CiwNNTwvcUH7CvdQ/JU2KShzTWqHdTP7jRs2v6sL3jMum3YDfFjIAqtc4876yA9CnTb6nIQAAghkK6C/HWsjf1Oy3QbLV5KAYvGg5z28ySJXadB30aTzpmHzW7nnA04zO/Tv0SVy936da33QkMNw0m3XdO90EgIIVIkAPfBVwspGEaiAgCukD+/uJqzb2ayr61lVSldub/iGfxFAAAEEEEAgkQIK4N3oKzv8crP9/5hIAg4agSQLEMAn+exz7Pkh4BquNQ/MT3qa3eCC9201aQ0JAQQQQAABBBCICqizW7PNn3CzWf+zot/yHgEEEiBAAJ+Ak8wh5qeAetc1YZ2ueT/MTRR7DcF7fp4ocoUAAggggEB1C/hh8y4Tmvj85L+5SVBO2jDRXXXni/0jgEDOBQjgc07ODhFwAi56D2ab14R1l7tr3rej552fBgIIIIAAAghEBYLZ5t1ccXb01WZ9T3Gt/1Qaoky8RyApAgTwSTnTHGd+Cbie9/ruOnfdKu4iN9t8zxxNFptfCOQGAQQQQAABBMoUUM+7prTd2t02YMgvzPa+tMzF+RIBBApfgAC+8M8xR5hPAq4MLtI17/U23CpOwXvfjbPNM2FdPp0o8oIAAggggEA1CwTD5tu4SsP+rtd9yA3VnCF2jwAC+SBAAJ8PZ4E8JEqgjpuwbmhnN2zeXfOunneVzwTvifoJcLAIIIAAAgiUQ6DIrJVb7MCzzQ6+sRzLswgCCCRBgAA+CWeZY8wLAd2ytYaL1I9ws81f7iat67px2DzBe16cHjKBAAIIIIBAfgk0XWzWzw2ZP9hd905CAAEENgoQwPNTQCBHAg1dz/uIdm4CWXcZW/M6Odopu0EAAQQQQACBeAoc+4hZw+bxzDu5RgCBKhMggK8yWjaMQEmB2jXNOrmJ62rR5V4ShncIIIAAAgggUFqgdffSn/EJAggkXsCFFCQEEMiFgOJ2gvdcSLMPBBBAAAEEEEAAAQQKU4AAvjDPK0eFAAIIIIAAAggggAACCCBQYAIE8AV2QjkcBBBAAAEEEEAAAQQQQACBwhQggC/M88pRIYAAAggggAACCCCAAAIIFJgAAXyBnVAOBwEEEEAAAQQQQAABBBBAoDAFCOAL6Lw2bNjQatVy9yoLpXr16lmjRm7qcxICCCCAAAIIIJDnAqlUKm0OGzRoYDVr/lhtrVGjhtWvX99q1+aGSmnB+BABBApWgL96MT21K1assMmTJ9tzzz1ndevW9YH7F198YTNnziw+orVr19ojjzxi06ZNMwXyRUVFpgKvY8eOdtJJJxUvxwsEEEAAAQQQQCAfBFRPef/99+21116zhQsX+vqNPps1a5bNnz+/OItLliyx++67zyZOnOiXWbNmjW277ba255572g477FC8HC8QQACBQhMggI/pGVVL9KJFi+zWW28tbn1et26dLV++vPiI9P7FF1/0haAKPwX0W221lY0YMaJ4GV4ggAACCCCAAAL5JLBq1Sp79dVXbcyYMabRhUqqw4TrOHr9zDPP+HqOvldAf+yxx9r++++vtyQEEECgYAUI4GN6ahWQd+jQwZo3b26fffZZ2qPQMLRly5b5R7BA27Ztfet08J5nBBBAAAEEEEAgnwS6d+9unTt3No021CNdWr9+vS1dutQ/gu9Vx+nUqVPwlmcEEECgIAV+vJioIA+vsA+qTZs2vrU5m6PUsLIDDjggm1VYFgEEEEAAAQQQyJlAkyZNbLfddjM9lzftvPPOfp3yLs9yCCCAQFwFCODjeuZcvjUc/tBDDy0eQr+pQ9l6662tX79+5V5+U9vjewQQQAABBBBAoCoEunTpYkOGDCn3pvfaay/r06dPuZdnQQQQQCCuAgTwcT1zLt8aRq8hZrvuumu5gvJevXrZPvvsE+MjJusIIIAAAgggkASBbt262cEHH1zuQx0wYIB1dJP0khBAAIFCFyCAj/kZ1i3ijjzySNOkdptKvXv3NhVwJAQQQAABBBBAIJ8FdPecnXbaydq3b+87LMrK6x577GFdu3YtaxG+QwABBApGgAA+5qdS90A94ogjbIsttijzSNQqrR54EgIIIIAAAgggEAcBzfUzdOjQTWZVlxNqRCIJAQQQSIIAAXzMz3LNmjVN14mpd133g8+UNHRey5AQQAABBBBAAIE4CLRo0cJ3UtSqVStjdjUCUfd+b9myZcZl+AIBBBAoJAEC+AI5mz/5yU9Mk9RlSgMHDrTtt98+09d8jgACCCCAAAII5JWAOiY0G/12222Xdhi9AnvVb7j2Pa9OG5lBAIEqFiCAr2LgXG1eQ8zatWuXdneaCKZnz56m3vrEpxrOoEaNkgz6DJuSJrxDAAEEEChoAfVpR0pD/75m9MNqVlAPuzopGjduXContWvXthEjRmR1u7lSG+EDBBBAIGYCRHQxO2GZsrvNNtv4yV50TXw0HX744RmD++iyBfc+lTJLrXcP96yUKvrxtX/v/lnvPitap3cblw2W37jOhm/4FwEEEEAAgdgKqERb7/7RQ2mdXm94Wfyvikp9rhQsu/Hthg+r4V/1wh911FFp5/rR/D/qwNjUPEDVkG12iQACCFSZQO0q2zIbzrnA4MGDbdKkSTZ58uQS+1bhpllcE5e+/tjsnXvNPh1nVts1bKjnffGnZt9+Z1Zno8aKBWZjzzV7c5TrhXf9Eaq9FK0xa9bJrO+pZjuW/xY2ifPlgBFAAAEEYiGw2kXq/55rds0Xrghc64pA132zzrVbr1jisu+KRp9cEfj412bPL3ffuyl1ilxxWMd9d6GrPvysg1nzzNPsbNxA1TxpmLxul6tZ5ufNm+eK6Q1NCg0bNrQDDjjAmjdvXjU7ZqsIIIBAngoQwOfpialItlSQPfnkk8UBfFDo6dqxRKal881mvOuC+PfNgoqHuhvU2R50Kax0H8xcbFZr4o9ErnJjbVxgv+1e7gUB/I8wvEIAAQQQiKPAWlfUveuKus/mmK1d5Y4gGH+pMlHl4cYycZUL6Fct23iE+swt904js6O2cQH8xo+r46mGa4DXPeFnzZplX331lc/Clltu6Xvm69QJWuSrI2fsEwEEEMi9QPAnPPd7Zo+VLtCkSRN/q7hgKJkCeN0jvmnTppW+r1hssJYr1OvXM3OVD2vkuhb02MK1WbVwn7d0z/7hXjdxr4Pv/bNbvqH7XL32JAQQQAABBGIuoAFoKt7WqjHbFYvFjwbutS4tDx56H/7evW7oishaQS+9+7q6kq6D1+WCQWrbtq3vgdd18CQEEEAgSQL81Suws61hZv3797fx48ebWqcPOeSQtBO/FNhhpz+cFtuZ7XGiWedervbhAvLypvWui77RVmYdB5R3DZZDAAEEEEAgbwXqugD8EHejmjWu1re0yBWJ5cipOuAVuB/awqxpHtQWdSedHj162MSJE/017wMGDGDyunKcRxZBAIHCE8iDP8mFh1qdR9S/7y625x4DfADft9fO1rPHDu76tiQOtHBVj2bt3OM4dzr0qNqUqXeidh70WlTtkbN1BBBAAIF8F9A174PcbdL1iHMatM9+NuGll61hwwZ2+BHD43koml/tfgkAAEAASURBVG8nXUpkXS0dBJ8hgMCmBBIXwK9x13utcg/Nrhq9m9imsOLw/ZZbNLEOO+xsHbp0s30PO8q+W+0moXGdz8Ek7HE4hsrJY+4iZ43AX+F6NNKlJbre3qXF7lnNKPXdP3WT2J7iFfgHAQQQQKBKBIIJWDUJa6EmN1R+7912sl7du9iatWttvwG9zVbrgn2NFYhJqreFy7ObJTCaVGVZp8kJXFq9dMOz/q2py/ncdQ8E9z+a8AoBBCxRAbyC9ue+MbvnK7P5CmxzF+Pl7KdW012v9sPyba3WPifbE+2PsGcmu2hRxxmj8i1nWJW0I11+N3Oe21j0f5NrZL/uU7N/LXKNRi6Ab+bK4VPc5XuHtiGIryR6NoMAAgggIIEVrqCZMsZs+riNHgVYwXGHtF3tmnb0NkvtmyWrrPbYC1ywm6H1PF9/FepR+dJVDKL1Bb2fOt7soVPddQ4bG2HWr3UHvLfZToduGFGYr8dEvhBAIOcC0T8hOc9ALneoyVbfdGXc6+5v5wLdJiXDKKZc5qnS96Uyu6iXpXp2s68Wb2mpJQVYiFc62uZvsEh1iGjPuns/wwX2s1yj0Tr342vqGle6uAmChrjrEINJ8Td/z2wBAQQQQCDxAqvd9PGz3jB76bENFIU4xFBH5o5ruBvytq6G65V4YUYMhxe6OlmRa9GP1r71fu5Ms3lfuBcbe1zWuUBesXzn3QngHQMJAQR+FIj+CfnxmwJ9pbuGrXKNmvqjuLYQA3j93Vc3fGP3cGUEKQcCMlc7SZq2EpXTupeuyuNVLqDXUPvkXc6Qg3PALhBAAIEkC6Rc5WbNClfIbByGnaY8KggeV5Y2VGO5HstcRS5uxxnUF5T/cNJxrHUVhtXuERyTr6u6c7pePQQkBBBA4EeBxAXw/u++/jjqRfBH8keP+L8KH1P4dfyPLH+PoCxnfaeHq1vVdM+F2GaUvyeGnCGAAAJJEXAFjCZHCwJDlTuFngqtQNU5Cx+TXnPte6H/ijk+BCokEPypr9DKrIQAAggggAACCCCAAAIIIIAAArkRSFwPvB/N7P9xwHomIZALAfdb09B51xFPQgABBBBAoJIFVMi4EoZ6TSW7VuPmVGHgmrtqPAHsGoH8FUhcAK/7ctfWsCQ39iDTrTjz93SRs7gKrN/4uyvEOx/E9ZyQbwQQQKBwBFwhU0u3HHMVHA3FLshrBAvnbJXvSNz18LVcNb1QJyQsHwJLIYBAGoFEBfC6XqB/M7MPO7qJPnUbOS4gSPOT4KOqEFjnekWau7rVHu73x++uKoTZJgIIIJBgAd1fvFN/s0HfbUAg6Iv/j6HIzWLXbU83a1+L+B8LR4AAApUqkKwA3rVKD2ntgnj3t1ABlW+krlRONoZAegGNatTAD90Lvi4NR+mR+BQBBBBAoGICDZub9T3G3TP8kI3rU8OpGGQ+reVqDnUamtVrnE+ZIi8IIJAHAokK4OXd2B2xHiQEEEAAAQQQQKAgBHRNYIMmGx4FcUAcBAIIIIBAJgH6AjPJ8DkCCCCAAAIIIIAAAggggAACeSRAAJ9HJ4OsIIAAAggggAACCCCAAAIIIJBJgAA+kwyfI4AAAggggAACCCCAAAIIIJBHAgTweXQyyAoCCCCAAAIIIIAAAggggAACmQQI4DPJ8DkCCCCAAAIIIIAAAggggAACeSRAAJ9HJ4OsIIAAAggggAACCCCAAAIIIJBJgAA+kwyfI4AAAggggAACCCCAAAIIIJBHAgTweXQyyAoCCCCAAAIIIIAAAggggAACmQQI4DPJ8DkCCCCAAAIIIIAAAggggAACeSRAAJ9HJ4OsIIAAAggggAACCCCAAAIIIJBJgAA+kwyfI4AAAggggAACCCCAAAIIIJBHAgTweXQyyAoCCCCAAAIIIIAAAggggAACmQQI4DPJ8DkCCCCAAAIIIIAAAggggAACeSRAAJ9HJ4OsIIAAAggggAACCCCAAAIIIJBJgAA+kwyfI4AAAggggAACCCCAAAIIIJBHAgTweXQyyAoCCCCAAAIIIIAAAggggAACmQQI4DPJ8DkCCCCAAAIIIIAAAggggAACeSRAAJ9HJ4OsIIAAAggggAACCCCAAAIIIJBJgAA+kwyfI4AAAggggAACCCCAAAIIIJBHArXzKC9kBYHYCYwbN86mTZtmX375pa1YscKaNWtmHTt2tAEDBliPHj1idzxkGAEEEEAAgYoKzJ492yZMmGDz58+3OXPm2MqVK61hw4bWrVs3GzRokO26664V3XTs1/vhhx9s0qRJNmXKFJs3b54tXbrUmjdvbttuu63tvffe3ij2B8kBIIBATgQI4HPCzE4KQSCVSlmNGjWsqKjIXnrpJXvhhRfsrbfe8sH7d999Z6tXr7bGjRvbVlttZV27drWDDz7Yhg8fbq1atSqEw+cYEEAAAQQQSCvwxRdf2DPPPGMvvviiffLJJz44rVWrlg/k165da9tss40P7Pfdd18755xzrEGDBmm3U6gfqrF/7Nix9s477/g6w/fff+8bN4I6w9NPP21HHXWUrzM0atSoUBk4LgQQqCQBAvhKgmQzhS+g4H3VqlU+cL/++uvtlVdeKXXQCuIVzE+dOtUH96q4nHjiida0adNSy/IBAggggAACcRfQCLR//vOfdvvtt9uCBQv84ey2226+x12B6YwZM2zu3Ln+8eabb5qC+N69e1vNmoV/Faca/p966im77rrr7LXXXit1qhXI6zF9+nQ/mm/NmjV23HHHGUF8KSo+QACBkEDh//UMHSwvEdhcAfW6X3755WmD9+i2VZG5+eabbcyYMdGveI8AAggggEBBCNx22202evTo4uBdvesnnXSSnX322dahQ4cSx7ho0SIf0KsxvNDT+vXr7aOPPrKLL744bfAePf6ZM2faFVdcYY8++qgf6Rf9nvcIIIBAIEAAH0jwjMAmBDQ08KabbrIPP/zQ6tat64cA6tq++vXrm4YKpkuffvqpH1Koa91ICCCAAAIIFJLA22+/bU888YQpMA+SetY1ZF7lYp06dfzHGsGmpNFousSsXr16/n0h/6PLCi677DJTYK4kF5mUNfJAoxkuvfRSmzVrlqkBgIQAAgikEyCAT6fCZwikEXj88cf9te/bbbedXXvttb5F/fPPP/fXtQ0dOjTNGhs+0mQ+muiOhAACCCCAQCEJvPrqq34IePiYNGx83bp11r59e98LP2zYMOvcubMdcsgh9re//c123HHHjI3e4e3E/fXHH3/s5wUIjqNnz56mukLfvn3LDOKXL19uDzzwgL9GPliXZwQQQCAswDXwYQ1eI5BB4J577vHXsem6Pl3/vssuu/iZddWSvs8++9jWW29tbdu2NQ0ljCYVxpp9loQAAggggEAhCbz//vtpyzdN9qog/sADD/TlpYbMa7Sa7tSShN539aDr2nelI4880s4991xT479GJMjijTfesJEjR/p5AdTgEU6aS2fy5MmmOXRICCCAQDoBAvh0KnyGQERgiy22sJ///Of+Fjh77bVXiW8VxOuWcepd0IQ9X3/9dYnvW7du7XsfSnzIGwQQQAABBGIuoNunKliPJpWLeihgbdeuXfTrgn+va98VwA8cONB++9vf+kaM8EHrbjVq4FBgr0b+cFJAr0Z/htCHVXiNAAJhAQL4sAavMwpoZtQlS5b426iFF1JBo0Jak9YEt4XRNVy69lszqyrwbdOmTdb3RNf+Fi5caN9++61/LFu2zO9H18+pt1vX0JWVlFe1Yitv6ZLyrWvyVLnQdexaXoVlcJ1ecFzBNe577LGHL4h1z9ZMSQWyrvuLBvCdOnUyPUgIIIAAAgjEXUDlczCvy+LFi0sF8Co/9bkuH1OZrR53zRuTLil4/eqrr+ybb77x5bDKbN1aTWXmpgJ/NRyonhGU2+m2Hy7LVcZrf+F6gb5X3lTW166duUqsY1E+g/JdeVTdpmPHjn5kQXTfyvspp5xiavDXiL1o0vq6bdwdd9xhEydO9MF8sIzyp7pGOJ/BdzwjgAACEsj81wofBDYKqCDWrV9efvllX8iFC0sVoFtuuaUpwNXQuA8++MAXRhr+pQKvRYsWPthW77RaohV8l5W0L103pu1oCJomgZkzZ44v2FUJUG92ly5d7IADDvDb0/twfrTtefPm+VlcVdCqUI4mLa+habpNi4a0qYKh4WwqyDXBjI4puKf7T37yE9t+++19QR3dTvT9ypUrfaND+PMddtjB+vXrF/6I1wgggAACCMRWYPbs2Xb//ff7wFcTtEWHeqtnWfc91xwxCnD33ntvX46GD1iN8pMmTfJDxXWbOW1HZbaCaNUTFPT279/f325OZX40qYzWhLKam0ZD8zMFu8qbgmnlQx0Cql9oeSXlU+W2rknfb7/9rFWrViV2o7qA5q959913/fOUKVP8swJ+Lavr+nVZnY5PZX046XM9ykrq9NAxfvLJJ77BI1hWBmrAyDQ5brAczwggkFwBAvjknvtyH7nua67C+B//+EfaSVVUGP7sZz/zt5BRYRpNuvfp3Xff7YeRnXbaabbttttGF/HBswJ1zWar/eieqCrc1EqtglnDyXTdmIaljR8/3i/zm9/8xs4444xS21NF4MEHH/SNDqV2FPpAE+kEk8/9/e9/L+5R0CJqLFClQYWrevvLU5CqEqIKS5DUMHDeeefZwQcfHHzEMwIIIIAAArEWUCB71VVXZTwGBc26FZpS9+7dfbCrhvAgqfdedQVtI5ihXfUI9TprXQXZuuuLyt0jjjjCfv/73/sAOdxDrm2o4f2WW24pNQQ92I+eNcpODfE77bST71wI39ZV29c2Tz/9dN/QHg7g1VuvBoYrr7zST1SrbamTQvlU54Qa/P/3v//ZnXfe6ct43TJWAX2mhgStH03aR5MmTUrVL9RAsPPOO/u8R9fhPQIIIOAF3B8hEgLlEnCt0Ck3TFyzrWR8uILHL+OC17TLuKA75W43U2p/U6dOTbmCungd1zueuv3221MuqE+51v7Ur371q5QriIu/D/Lwhz/8IeVa8kttzw2rS7n7tadcgVxqHa3rWsxTriHAr+da2VNXX311qmXLln5Z1xKfeuaZZ1KuZb7UdjN9oOXdKIQS+3IFe8pVMjKtwucIZCXwwoJUauBYV2sc7R63pVIN7k6lbpiRSv2wNqvNsDACCCCwWQIvvfRSys2ontp1111TKutd0Fqi7HOj3FJudJxfxs0dk3KBdvH+XEN8yt0XPeUC1+J1XI+7L69dD3nKTYqX6tOnT/F3Kq9dI3pK9Q8X3BdvRy9UdrvReqlBgwalVPcI6gXBs/KlOseCBe6Pp0vathu27pfT8qojuIb3lAuk/ffhf1Q/0PEF23I94ik3EjHlgveU61kv/lzfu0aAlBsVmHKX/YU3scnXbhRB6qyzzkq5UYwltudGCxTneZMbyYcF5k5OpW4Znkod4do1jnWP49zjuWtSqWXZeeTDoZAHBOIikP4CYfcXiYRAVECty65ASzuDrIala6i4WrfVC61WaVcIRzfhb40StMyHv7zhhhuKW7n1uVrFde2YrinX0LcTTjjBhg8fHl7Fv3722WdtwoQJpT5X77erJPgJYkp96T7QkDi18AfpnXfe8cPrjj76aLvuuut8i3owzC5YJtOzjket9OoNCKe//OUv9t///tcPxw9/zmsEEEAAAQTiKqDL4V5//XU/Gk7ltHqMw0mj51QmauSebhsXDCXXKLqxY8f6+kH4ziwaLv+73/3OX3LXq1cvO/7440vMG6Mh+xrNpnlxwkm93bo12z//+c+0E8W6irg9/PDD/vp6rafr7HV5n3rlb7rpJnMdA36EXfgyPPWKa5lf/vKXpnqBkuoTmk1/wIAB/jI+PavnPEgaiq/eeA2F17D78ibtVyMPdTlAkHRJYrrh/MH3PCOAAAISIIDnd1BuAQXVGuKWbji5hpa5Xmx/LZgKbw0bP/bYY0ttW4WVrqXXsPwgKeDXkDxNjBMkFWiPPPKIv/Zdn2mCOE0YE03anibNS5c0gd6QIUN8wRv9XtffvfXWW36I3HPPPecbATSkXpcCpJtwJrq+G0VgF110ke3jbiF34YUXFhf04eV0Df+ll15qo0ePLnWNYHg5XiOAAAIIIBAXAQXACmD10OVm4QA4OAZ9pyHpqg+o7qCkclMN5HoOksppXT8eLKPPXY+6n58mWEYB8ttvv+0vsdOkdeGk+oguczv55JN9g3/4OwXwKofdiAF/vbwbKefrC2qoV/0k3aS0CuBVZmsi3iDpFrGqSwRJdQXVScJJeVQAr7pFeZOuyddt+MIBvOblUeMBCQEEEChLgAC+LB2+KyGgwjBcyAZfajI4TVKnieyClngV2uqtV2AfTZqYzg2ZL/5Yt6GJ3kZF18GppV6zwyupwqBtRpPW1SQ0mVLv3r39TLDprkvTBDi6D+s111zjr7HX7VwUkJcnqZBX67waI9SIoMaHaCVGXmpc0GgE9QKQEEAAAQQQKCQBlYXpkgLacKO8yngF0grEw0lBdHS2eY260wS44aSebc2Ro5ng0yXN+K46R7qkOXguueQSv363bt3863R1Ex2LgnAF+hotECT1imu9IGluHHfJXfC2+Fnz+6SbOLd4gdAL1V00CjDcmKHJ+0aMGOGvfw8tyksEEECglAABfCkSPshWQIG1JlyJ9syrgNPEMdGkAivcuq3CO3qbNRXW+jwI2hUMq8CLJlUS9MiU1KCg4X4HHXRQqUWCyfleeeUVfzuXww47rNyFrybXU4VBw/r2339/31ChPKZLmpBHownKamhItx6fIYAAAgggUAgCGr6uBu9owK8OgGgwrV75dJewadh+phF36hHXpLTRuoTs3nvvPdNIO6VTTz01Y4CsifGUR+U1nFSP0DD6IGliPt0CTvUe7Vd1lWHDhvnRe+psKE/SHXceeOCB4vqLOkc02d5JJ51UntVZBgEEEi7ALPQJ/wFUxuErcFWPeTSAVfDdvn37UrvQEDgNmw+SWrc1nE1Bu27Zome1ZKtHXD3n6rHXzPO6bj2atGy0QhBdRgWsAm3Nhq8COpo0BPD8888vNSQuulz4vSoXGrKnh4bAqYVf18IH94gNL6vXn332ma9EaJQCCQEEEEAAgSQJ6Jp3DWePJgXH0V5rfRbtENB6agTP1AOv79UIr1vQagh8uqSec5XZmZJGCaieoXpHuF6huk34vfKnmesVyOsWu2rQ1yjE8Cz2mfahz9XpoBF8mr8n6IDQEP10lwGUtR2+QwCB5AoQwCf33Ff5katFWQVbNKnnW5PSBEmFowJ4tWBr8hgF+MFw/BdeeMF0izcF32okSJeiDQfRZRSg77vvvrb77rvb/9xEM+FhfVpWhbUK5OgQ+Oh2Mr3XMP2//vWvpuviNBGPbjETTap4KIgngI/K8B4BBBBAoNAFFBzPnTu31GGmuzxOZXG6y960sq4b16V1aviPJg1B1wRwuvxODf/RpH2V1UOuuoF6+KN1CuVdl8qFh/prlIDm+qnIbWLV6K/b3wV1GjUEaEI9TY5HQgABBMojwBD68iixTIUEVFCmK2RVSIYL8iBwVrCvyWsGDx7sA3YF3ZqNVtfNuVvSWPg+stlmSI0JmlAu3XVrys+NN96YNvAu737USKAh9e7Wd2lX0fV07lY2ab/jQwQQQAABBApZQJO7KQiOJgXq6Xrbo8sF7zX0vKyJ4jQrfqZedl1/f8899wSbKvWsuoAC/3BvuxbSyL3wZX+lVsziA82kr7vTaFSh6j4aIXjrrbf6S/Gy2AyLIoBAwgUI4BP+A6jKw1fhlKm1O931bcqLhqMdc8wx5u4d62eNVQv1L37xC7vrrrvs8MMPr3B2FcC7e7/7R3S4nobh/+c///GT11R4B25F7aNv376+8qDX4SQHtdiTEEAAAQQQQGCDQKYAPtoLHnipbC0r4FdArE6A8KRzwboKwh9//PGMDQAK3MOT1wXrqcEgPGow+Lwiz6prjBo1yq+qDo57773Xjw6syLZYBwEEkitAAJ/cc1/lR67AON3Ecwqgo9fGq+DUvVzPPvts07B5tbJr/TPPPNNfv65h6pmC/vIeiCoKuh9tdHZbra+GAk0oM3PmzPJuLu1yGsKnBodow4UKat0qh4QAAggggEDSBFTu63Zs0aRAPRqslzW3ja4zD9+DPbo9vddQ90wz0muenUy98Cq3dbvaYFRgsG0N2U93/X7wfXmfNYu+5svR9jSq8G9/+5vvVIjWbXT8ugxAdYkZM2aUd/MshwACCRIggE/Qyc71oWpylnRD3RRAR2eKVfB88803+wloNIxNBagKag2F09B5vQ8me6noceg69EmTJhXPYhstpB977DGbOHFiRTfv11MjQc+ePX3hHN6Qet81Yy0JAQQQQACBpAnoEjlNThtNajyP3qFF90XPVN4r8I0GvNFtqrdck8SlS5phXr3emosnmnQpXEd3C7to3UDXwE+ZMsVffx9dp7zvtf4dd9zh5/nR3Xmuv/56O+GEE4rvtBPezkcffWTXXXedr4+kGxEQXpbXCCCQTAEC+GSe90o9ahV26Ya0KRAP3+M02KluGRMuyOfNm+cLVBVwQdL2NBy9a9eu/iPtI9qrHSwbLWyDz8PPatG+//777cknn/QNAtttt12pVn81Njz77LMl7lEfbEOVCV23r4no0o0qCJbTs4L4Dh06lMiv3m+q1yC8DV4jgAACCCBQKAK6DVu6eWwUoEbvDqOAXvWHaNJks+lG0IWXmz59ur/kTj3X++yzT6m6iUb7qa6h3nA1FISTGgaCOkf4c71W2f/www+XqjcEy+k4NMFeMDFd8LmeNTHvTTfd5G9Rp/ey0F161Mv+1FNP+Yeui1eeNBLxhhtu8BPuyivdPELaBgkBBJItUPJC3WRbcPQVFFBwrAJYgWs4KSBON+xMBXCXLl2KF9WtVNJdX6bCWree0cRzCvLT3T5GQ+82FcBrGc36+sc//tG33P/hD3/w17tfeeWVpSarUYHaq1cvf3uYIIMq5DWRniadUSGtmWJ173cNtcuUwhZqba/ITLWZts3nCCCAAAIIxElA16bvueeeduedd/rL44K8K1jXkPJwUrmfrudZ17aXVe5qHY3m03XmuuOLgubjjjuuVKO8gmyN+FOAH66LaJSAyncN9482Kqg+o9vT6XuNpgvPc6MJaseNG2fqqT/00ENL5FGfBXkKGv/feustf3lgeJSBGhZkEW4A6NGjR9o7+YSteI0AAskUKBlxJdOAo95MARVKmt01Osu6Zpz98MMPS21d17/rtilB+uSTT0oNtVfBpgJRrdIKnnUrORWC0aTCLhimHy1wg2XViHDFFVf4BoBzzjnHhg4d6u/ZesABBwSLFD/r2nsF6rqdXZB0bLoWTUPeNFvsaaed5me01z3fwwVwsLyG6KkXQHnTqIERI0b4oXLB9zwjgAACCCBQCAJqwI9ew67jipaNCo7V8K15aMIN3CpzVZaGk27lpl7rcFJD/amnnloi4A5/r9e6tl3D4zXiTXedUWP8z372M9PcNOGkPKsXfsyYMSVGCaoHXvUCjf6LjvjTOh9//LFddNFFvm6iIfhq3Fc9R/s96aST7JFHHvGdDsG+9P0bb7xhv/nNb4rrKfpOdQP11uvYg4caMcLBu45X9aRGjRoFm+MZAQQQKBYggC+m4EVFBVRI/c/dX10T0GmYmZJme9Vw9GjSRG4qIMOFklq7w63ZwTpqjb7kkkvsoIMO8i3f6Vrk1WqtYWeaof6QQw4JVi1+VuGqVvOnn37aD9/Trd50PbomuDnssMOKlwu/ePnll/06wWc6jnAPgY73wQcf9A0BamQID/VToXzVVVeZbhWjdPrppxO8B5A8I4AAAggUlIAa0KPBugJ6lZnRwL558+a+TA8Hx7rMTkFuuAFeZa4a9oOkgF+3le3fv7/pOvV06ZlnnvEN/brUbciQIb4nXMsp6N9mm23SrWLXXHONH50X/lJ5U70j3S1ntZzqB+plHzhwoM+T7m6jxgLVaVT2hy8T0Mg/NfirF74iSQG8htqTEEAAgahA7egHvEegIgJqOVaQrMlXNOxLrcoqvMJJ17WfeOKJdsQRR4Q/9kPd1GqeLqlioAL717/+tZ/BVgWrAuhwUqu4RgH89re/Lf74888/97ek08R0amVX0v7Viq6kCoEKXD2rESCctH1VIEaOHOl73tV6H+4x0LI6XrXgq0FAwwI1pE551SR46sFXo8QFF1zgW+U7uklxSAgggAACCBSKgIa5K5idOnVqqQBe5aOGsWvWeQ17V++7UtDD/ec//9l0CVvQy64y/OKLL7Zjjz3W98arLhFMMqdye9iwYX5St+jweZXVqmdolJ7qEJphXvsIX1anS/E07066NH/+fPvTn/7ke801Mk91DXUmaKTA+eef7/cZHVkY1Bd0xxo1UOih7WtGeV0uF+xbI/cuu+wy30Ofbt+b+kx2avAgIYAAAmkF3B8fEgLlEnAt5Ck3HC3lgtOU+zEVP9zkbCk3TDy13377FX8W/l6vXRCbuvbaa1OudbzUvlxPe8oV6CkXKJdYX9t1hX/KXTOXcj3bKXedfMr18qdci3SJ5VyhmXKTvqRci7/ftrumPnXggQemXKWhxHLKh5u8LuVmgk397ne/S7lCt9T34Xy7gjjlAvOUC9RTF154YcoVphmXdwV/ylUUUsrzkUcemXJD/1NuKH2pY+UDBCoq8MKCVGrgWFdbHO0et6VSDe5OpW6YkUr9sLaiW2Q9BBBAIHuB119/PeVG05Uqs8Plp167XuzU8ccfn3rzzTdL7MQF5yl3SVzK9agXl6kucE65e7enXJBe/JnqBC6QTrnAvMT6euMC65S7jj3lLslLqfwN71vvXS986rnnnkvttddeJb4LLxe8Vp3CNdiX2IfqHPfdd1+JPAbLB8+qI6iu4YbOp1Q/CpLKfteAv8n9BttJ9+yu4U+50QnBJvP7ee7kVOqW4anUEa4941j3OM49nrsmlVq2ML/zTe4QiLEAPfDuLydp8wTUwq0h6XposjYNfdOkcxryrpZp3ZNVE7+ohVuzr0aTWsx1OxUNc1MPvnqyNWxMt5rTELJ+/fqZ9qHZWM8991zfyq1r5DQsTcPcdtllFz+0TkPjlTRJnlrQ1SseDM93/0d9T7t6DZQffa7ec80MH7SYh/Ol5dW6r7xoSNwZZ5xhO+64o7+mX5cJaNigvleLvbahlnI9dO3d7rvvbn369AlvjtcIIIAAAggUhIDKOl3apnJa5Xd0hFpQ3mpknMpblZHhpPWPOeYYf6tY3dpVPeEq03UtvObIUT1C9QEX0PvytHPnzuHV/WsNddcEdNqOymHVEVSWa9+6/E6f6Va0GuI+aNAg/77URtwHGpWnEYMaORhOqkccffTRfkK6V1991TS3jeo1qkNoRIG2rUsCXQOBH0UYXlejBvS58qS6RjZJPfxaT9vOdt1s9sOyCCAQb4Ea7o+dWglJCGxSQEHreeed52+lEsymqpVU0GliF10HpqRhcRpepmvadM9W3bKtrIJIP8FwEK1rylWAhVN0GX2nglcFZS6T8qZhejpGGei4NMRelZTwdf25zBP7SobAODetwhWTzF7/wh2v+9k3cP9FrhrorvHsZLYlTbHJ+BFwlAhUs0C6srg8WSprPZWrahjXnWYU7KvxXvWKXKey8qjAXXnU0H7lUZfGKYgnOYEv3zN78iqzCY+ZaYqCGu5x8jVme/7crFFLiBBAoAoEqPZVAWoSN6mCLwi81euuXvPypnDwrnWiwbs+iy6jz3IdvGufypt69kkIIIAAAggkTSBdWVweg7LWC3qc1etcnamsPCpo12g/EgIIIJAPAsxCnw9ngTwggAACCCCAAAIIIIAAAgggsAkBAvhNAPF1+QTKarku3xZYCgEEEEAAAQQQQAABBBBAoCwBAviydPiulIAmbtNw+XDSpCu6Pj76eXgZXiOAAAIIIIAAAggggAACCGyeAAH85vklam3N+upu5ebvgR4+cAX1mtxFs74GiWA+kOAZAQQQQAABBBBAAAEEEKgcASaxqxzHgt6Ku7+6TZ482caOHWsffPCBv7Va+IA1G/vLL79so0aN8rdc69u3r7+9W3gZXiOAAAIIIIAAAggggAACCGyeAAH85vklYm3dMm3ChAl2//33+3uiRmd/V2+7bumm73v37u3v36r7s5MQQAABBBBAAAEEEEAAAQQqT4AAvvIsC3ZLW265pR144IHWvXv3Mm/dpiBewbxut0JCAAEEEEAAAQQQQAABBBCoXAEC+Mr1LMit6b7ue+65Z0EeGweFAAIIIIAAAggggAACCMRFgEns4nKmyCcCCCCAAAIIIIAAAggggECiBQjgE336OXgEEEAAAQQQQAABBBBAAIG4CBDAx+VMkU8EEEAAAQQQQAABBBBAAIFECxDAJ/r0c/AIIIAAAggggAACCCCAAAJxESCAj8uZIp8IIIAAAggggAACCCCAAAKJFiCAT/Tp5+ARQAABBBBAAAEEEEAAAQTiIkAAH5czRT4RQAABBBBAAAEEEEAAAQQSLUAAn+jTz8EjgAACCCCAAAIIIIAAAgjERYAAPi5ninwigAACCCCAAAIIIIAAAggkWoAAPtGnn4NHAAEEEEAAAQQQQAABBBCIiwABfFzOFPlEAAEEEEAAAQQQQAABBBBItAABfKJPPwePAAIIIIAAAggggAACCCAQFwEC+LicKfKJAAIIIIAAAggggAACCCCQaAEC+ESffg4eAQQQQAABBBBAAAEEEEAgLgIE8HE5U+QTAQQQQAABBBBAAAEEEEAg0QIE8Ik+/Rw8AggggAACCCCAAAIIIIBAXAQI4ONypsgnAggggAACCCCAAAIIIIBAogUI4BN9+jl4BBBAAAEEEEAAAQQQQACBuAgQwMflTJFPBBBAAAEEEEAAAQQQQACBRAsQwCf69HPwCCCAAAIIIIAAAggggAACcREggI/LmSKfCCCAAAIIIIAAAggggAACiRYggE/06efgEUAAAQQQQAABBBBAAAEE4iJAAB+XM0U+EUAAAQQQQAABBBBAAAEEEi1AAJ/o08/BI4AAAggggAACCCCAAAIIxEWAAD4uZ4p8IoAAAggggAACCCCAAAIIJFqAAD7Rp5+DRwABBBBAAAEEEEAAAQQQiIsAAXxczhT5RAABBBBAAAEEEEAAAQQQSLQAAXyiTz8HjwACCCCAAAIIIIAAAgggEBcBAvi4nCnyiQACCCCAAAIIIIAAAgggkGgBAvhEn34OHgEEEEAAAQQQQAABBBBAIC4CBPBxOVPkEwEEEEAAAQQQQAABBBBAINECBPCJPv0cPAIIIIAAAggggAACCCCAQFwECODjcqbIJwIIIIAAAggggAACCCCAQKIFCOATffo5eAQQQAABBBBAAAEEEEAAgbgIEMDH5UyRz/9v70zgbavqArwej8cogwiCDPpUBCcUVIQUEzIJlQSRIZwrFQ1NSzQ1VEozJ5CwnCukQStLLXNIQUjDrBwwlNRE0HAMIRWV8bS+Df/Luuvtc9+5765z7zn3fOv3O/fce87ea6/1rX3Xf1xrS0ACEpCABCQgAQlIQAISkMBME9CAn+nht/MSkIAEJCABCUhAAhKQgAQkMC0ENOCnZaRspwQkIAEJSEACEpCABCQgAQnMNAEN+JkefjsvAQlIQAISkIAEJCABCUhAAtNCQAN+WkbKdkpAAhKQgAQkIAEJSEACEpDATBPQgJ/p4bfzEpCABCQgAQlIQAISkIAEJDAtBDTgp2WkbKcEJCABCUhAAhKQgAQkIAEJzDQBDfiZHn47LwEJSEACEpCABCQgAQlIQALTQkADflpGynZKQAISkIAEJCABCUhAAhKQwEwT0ICf6eG38xKQgAQkIAEJSEACEpCABCQwLQQ04KdlpGynBCQgAQlIQAISkIAEJCABCcw0AQ34mR5+Oy8BCUhAAhKQgAQkIAEJSEAC00JAA35aRsp2SkACEpCABCQgAQlIQAISkMBME9CAn+nht/MSkIAEJCABCUhAAhKQgAQkMC0ENOCnZaRspwQkIAEJSEACEpCABCQgAQnMNAEN+JkefjsvAQlIQAISkIAEJCABCUhAAtNCQAN+WkbKdkpAAhKQgAQkIAEJSEACEpDATBPQgJ/p4bfzEpCABCQgAQlIQAISkIAEJDAtBDTgp2WkbKcEJCABCUhAAhKQgAQkIAEJzDQBDfiZHn47LwEJSEACEpCABCQgAQlIQALTQkADflpGynZKQAISkIAEJCABCUhAAhKQwEwT0ICf6eG38xKQgAQkIAEJSEACEpCABCQwLQQ04KdlpGynBCQgAQlIQAISkIAEJCABCcw0AQ34mR5+Oy8BCUhAAhKQgAQkIAEJSEAC00JAA35aRsp2SkACEpCABCQgAQlIQAISkMBME9CAn+nht/MSkIAEJCABCUhAAhKQgAQkMC0ENOCnZaRspwQkIAEJSEACEpCABCQgAQnMNAEN+JkefjsvAQlIQAISkIAEJCABCUhAAtNCQAN+WkbKdkpAAhKQgAQkIAEJSEACEpDATBPQgJ/p4bfzEpDAtBDYNs/Wm6+5tbX8unX+bJu1t37mbxKQgAQkIIFlJbBuy5TWVIJo7bqU1m29rM3wYhKYJQKbz1Jn7asEJCCBaSDwkxtT+s61KV11Q0p4WbfIPy74YUrfzH8nLPf8umGQ0ievSemeV6V0u6wrXZ//ZkK/bf59D/WmTMIiAQlIQAJNCVz7oyyYvnGzHKLitVuk9O0vpPSTK2/9jM+vujylKy5KabvbZ2F1XRZO2cjfbteUtrwN31okIIElEtCAXyJAT5eABCTQmsD3s77z/m+m9N4rbjbeibyf95OUrslG/JpszGdbPV2Xf5zz9ZQuzQb8jjn4ce1NKe2SdaRH3CGlJ9yxdYusTwISkIAEZp7AVVnofOysLIx+cDOKzbLw+WEWVFd88WYPMg5mysUfTOnKy7IA2y57l3+cvczrU3rYc7MBv23+Mg7Kv1okIIFNIqABv0nYPEkCEpDA+Ahsl6PoN1yf0rlZJ+rC6ljs6Dz5NcgGfFeywZ6+ldIn8quz6HPUfp8c4Dhyj5u/9qcEJCABCUigKYEbs2D6zldSuvC8W+3wW2RTKrPov/zllL6UX8iuLJvSfe+f0rGnN22KlUlglgmEKjjLDOy7BCQggYkisH12rd5759ykHfIL5YiZmve6hOJ0y/d7b5/S8RrwNSX/loAEJCCBFgR2vktK93/8zTUhdzDa++RTyC0M+N2yMLvPw24+x58SkEATAvzbWSQgAQlIYMII3GmblB51p1sahRK0UCEan4333fNyw7V9hv5C5/qdBCQgAQlIYBQCW+aU+LvmaPou+eBRLIgcsE+73iOl/Y8ZpXaPkYAERiQwyr/fiFV5mAQkIAEJtCKwV96I7qlhwG+s0pyi+KDbpXR0Xv9ukYAEJCABCYyNwPa7ZYP8EdlbnFPFcB4PK4PsTc77sqQ98tquOx007Cg/l4AENoGABvwmQPMUCUhAAuMmsFWenQ/YKV9lx/xipl4oCp+/v3824I8g7d4iAQlIQAISGBeBrbJQOujkmw34heTSjfnL3W+bI/YHjqsl1iuBmSWgAT+zQ2/HJSCBSSdwm/yEngfkKPzmrDMcpijlCMiavFZ+n2zsmz4/6SNq+yQgAQlMOQEeCbf3g3Mafc6jX0g2kT6/9+Ep7fuoKe+wzZfA5BHQgJ+8MbFFEpCABDoC2+cZ+oz1eS+7vCv90JIN+EfvntIDidZbJCABCUhAAuMmsFVeC7//YSltm5/rPiyNnudcrc/r5Xe717hbY/0SmDkCGvAzN+R2WAISmBYC6/IMfUhOi986b1C3UKTjUXlJ4gNJtbdIQAISkIAExk1gTV7f/oCnpLRd3jmVx8TVhc/2uWNKe+1df+PfEpBAAwIa8A0gWoUEJCCBcRFATzoq60E75k3tNkijJ60+ZzHupPE+LvzWKwEJSEACNYE12XzYJ0fgd9k2r/HKX9ZLvG7In+33mLyB3f71mf4tAQk0IKAB3wCiVUhAAhIYJ4Gn3jlv4osBX0c6stL0uGzc75ezGC0SkIAEJCCBZSVw77y+nbXwtWxi9/l9H5K9y1l4WSQggeYENOCbI7VCCUhAAm0J7J9T6LfKm/mmvKndmjLSkWfwJ+2R9wnKz4y3SEACEpCABJaVwAHHpXT7u6d03S1XDfm0b/5sV9Pnl3UsvNhMEdCAn6nhtrMSkMC0EnhQfsb7dtmQH7BhUFaSSK3fOa+P3zenzzuRT+uo2m4JSEACU0xgz/ultOf6vFFL7kMY78ioBz4p776avcsWCUhgLATU+8aC1UolIAEJtCXwtLzT/EOIwt9iwG+RZ+8T7pqN+oV2qG/bBGuTgAQkIAEJzCew9355rXv2JrPuPTuW07b5x72OyO/5M4sEJDAWAhrwY8FqpRKQgATaErhHfmrPPhjwbBiUyxb5/aS9UrrtLX/f/Kk/JSABCUhAAstI4G55HfxdH54Sz33fPBvvd1+f08P2XMYGeCkJzB4BDfjZG3N7LAEJTCmBffNeQXfIT+0hZ35t/n2fnFK/GREPiwQkIAEJSGAlCOx2z5TufN+bH3W6RRZKB52S0rq8O71FAhIYGwEN+LGhtWIJSEACbQkclZcUPjqvhd8qp82fsk9KWzqDtwVsbRKQgAQksHgCd8mPi7vXXfJa+JwSdtCJ2YB3Z9XFQ/QMCYxOwOTL0Vl5pASmjsB5552XrrnmmrTZZlp6Uzd4VYMJtG8+uD79+EdZSbpxfdr5sxem919yY7eBXewdVJ3in1NE4IYbbkgHH3xw2nXXXaeo1TZVAhsS4F4+99xz0/XXX5832zRFaENCq+uTm9auS9tc/fW05xb3SLts+YX0yY9emAZ53NcMlEyra6T7e8P/+1577ZXud7+8oaFl2QhowC8bai8kgeUncPnll6err746rV27dvkv7hWbE9gy7xJ0+82vTYevvTrd9K2vpEtvUkFqDnmFKsTY2W+/vBmURQJTTuDGG29Ml156abruuus04Kd8LEdp/iDvXLcu76561db3Sbus2TF99auX3nKa8mkUftN+DP/nW2yRn3FrWVYCGvDLituLSWB5Caxbty7x0oBfXu7jutpNWU1an65Od7zpB2lNdsqsW2t0a1ysV6Jeo5UrQd1rtibAfYzcuemmm8z+ag13Quu7KRvx31u3V/rBVrumdZtpWkzoMI2lWYOcabH55o75WOAuUKnEF4DjVxKQgAQmjcDm6cbcpBvzI3c13idtbGyPBCRwKwEdUreyWO2/bXbLQ+B/utmWWTIZeV/t423/Vp6ABvzKj4EtkIAEJDAyAQ33kVF5oAQkIAEJLCMBjfdlhO2lZpqAO1vN9PDbeQlIQAISWE4CpBtaJCABCUhAAhKQwKYSMAK/qeQ8TwJTSIA1idtss0066qijujVL/G2RgASWj8CWW26ZPvWpT6XPf/7z3Trh5buyV5LAyhFgY7uddtopHXnkkQknlo6slRsLryyBTSHAvhbf/e530wc+8AH3ttgUgI3P0YBvDNTqJDDpBHikHIqURQISWBkCW2+9tQbMyqD3qitEIDa62n777VeoBV5WAhJYKoEddthhqVV4fiMCptA3Amk1EpgWAihSRt6nZbRs52ok4P/fahxV+7QQATa0M+q+ECG/k8DkEyCTxjIZBDTgJ2McbIUEJCABCUhAAhKQgAQkIAEJSGBBAhrwC+LxSwlIQAISkIAEJCABCUhAAhKQwGQQ0ICfjHGwFRKQgAQkIAEJSEACEpCABCQggQUJaMAviMcvJSABCUhAAhKQgAQkIAEJSEACk0FAA34yxsFWSEACEpCABCQgAQlIQAISkIAEFiSgAb8gHr+UgAQkIAEJSEACEpCABCQgAQlMBgEN+MkYB1shAQlIQAISkIAEJCABCUhAAhJYkIAG/IJ4/FICEpCABCQgAQlIQAISkIAEJDAZBDafjGbYCglIYCUJ3HTTTen6669PN9xwQ1qzZs2CTRkMBmndunXda2PH1hVxHa7Ba2OF62y55ZZp882dpjbGalq/Z4x//OMfp5/+9Kfz7gvGfOutt07bbLON4z+tg2u7JbARAtddd10nd0aVI8wXW2yxRTcn9J0zSn1r167t5MpGmubXFYGN6QibbbZZNy6zIq9/8pOfJF7oMuhOFO6trbbaqpNb3KcWCYyTgJrxOOlatwSmhMCPfvSj9LnPfS5dcsklGzXgEVZ3v/vd0wEHHJB22mmnRfXwyiuvTJ/97GfTV7/61U7YLXTyjTfemB72sIelvffeO6EcWFYfgcsuuyy95z3vSf/6r/+avvGNb6T/+Z//6RSiO9zhDunwww9Pxx57bLrPfe7TKe2rr/f2SAKzTeDf//3f03/+5392MqfPIK/pYCw98IEPTPe61706B1/9/b/927+lL3zhC70yDOOfsn79+vQLv/AL9an+vREC3//+99OnP/3p9N///d+d8748HFl9u9vdrpur0Q1We/nWt76VPvjBD6Zzzz23k1mXX355Z8zvvPPO6aEPfWh67GMfmx784Ad3xvxqZ2H/Vo6ABvzKsffKEpgYAnjXEUp/8zd/k774xS+mH/zgB50ShOEcik80ligHRtUpp5ySjj/++Ph4pPd//ud/Tqeeemr6+te/voEBjwKHIkBbEIT77LNP2mGHHbrfF+soGKkxHrRiBK699tr0ute9Lr3jHe/oDHeiNre//e3TLrvs0jl4vve973X34V/8xV9099lznvOcFWurF5aABMZDAGfumWee2c0BZFvVBZkQ8geZcOc73zkxd/A7hnhd/uVf/iWdc8456X//93/T1VdfPc+AItNn++23T09+8pM14GtwI/x9xRVXpD/90z9Nf/3Xf5223XbbzqkeY8OY3Pve907PfvazO+f+CNVN7SFvfvOb09ve9rZOPqEf3fa2t0177rln59xAbuHg+Lu/+7t04oknpte//vVT208bPvkENOAnf4xsoQTGTuA2t7lNF+2+xz3u0aU0/97v/V76p3/6p4Sx3leInKAsLcaAJ3ryH//xH+m//uu/+qrsPkMxOOaYY9LJJ5+ctttuu86o492yegj83//9XzrrrLPSm970ps5pRM/ue9/7doo1afPPfOYzO0cOzhwi8h//+MfTox/96E55HxeFP/mTP+kigQ9/+MPTIx/5yHFdxnolIIGCABk2+++/f3rve9+bTj/99OKb+b/e9a537Zx9OHR33HHHzoCff8TNfz3ucY9LRxxxRJfhhSH/vve9b+6wn//5n09PfepT08/8zM/MfeYvoxMgE+4Vr3hFN1e//OUvT2TtlYV5HUN+tRYCC8isN7zhDelLX/pS18299tor/cqv/Eq65z3vmX75l3+5053Qmb7zne+kT3ziE+nzn/98F+wYF5N//Md/TB/5yEe6bEgcU5bZIqABP1vjbW8l0EuACChRDV4UvMekuZNSP6xcdNFFnUH+gAc8YNgh8z4nTRrDf6GCQHz605+ukrUQpCn+DifOJz/5yfTGN74xffvb357rCZG1hzzkIem73/3u3GfxC+sMWVs4rkLE5Oyzz+6cCaTmWiQggfETIHq72267dS8cyDh3L7jggt4Ls56YlOSNFeQHLxyCOADDgP/Zn/3Z9Bu/8Rs65zYGcIHvca5jxOPgfPe7350+85nPzDsaHWK1LnXjXrr44ovTH/7hH84Z73R+1113TdxbROHrYAcODpiMqyA///Iv/zJ97GMf6zIVx3Ud651cAi4sndyxsWUSWDEC++6779z6dqKifYVUe9Yvj1o++tGPdkIfY2xYVJ0Ux/3222/UKj1uygiwTOO8886bZ7zTBRR07gnWvrM8A2WRv+92t7t1mSG77777WHrK5nl/8Ad/kD71qU91GxGxOaNFAhIYP4FyzTvLpYiOl5+VLSAlnj1aMKRGKRhTbCZGYW7BKcyeGpalE2COJGV8lsoPf/jDbr17nT2IgY7OwhI/HEzILDZevdOd7pQe8YhH9C7zaMWNrLEPfehD3dp7N8xrRXW66hmfe2i6ONhaCUigIICRjbLEumSEUV/knPVerGnH00wEZaHCmnoir9dcc02XbsZ6RIRiXVDgxhltra/n38tLAAOeSFtdiMwTvcF4f9nLXtalBfL3IYcckg477LCxRDK45oc//OEuNbdU+Ou2+bcEJDBeAhg9sWEpmV+kK5cF+UG08bd/+7dHijaSyYPDmMKGdURJxxkNLdu62n9HRs+awcj9x5LB0ItijNGRuFfRkV784hd3G9uh29z//vdPLMfivh5HYVkZWWNsLLjHHnuM4xLWOQUENOCnYJBsogSWmwBCmt3micRjRBFtx/iuC5vRsX7x8Y9//NDoCeeQykg6/oEHHtilx7PJy7CyWtPwhvV3lj5nY6lLL710gy6TTosRjYLEHgi8xlm4HusTX/CCF8y7r4dFAMfZFuuWgARSF7180pOelF796ldvsL6auYHN057xjGeMZMCzKzhyiWjxSSed1DmiZSyBTSVAptaXv/zlDRxLyJHICiHDY9xZHlyPfWFe+MIXpq997Wub2h3PWyUETKFfJQNpNyQwDgIIjLvc5S7pMY95TG/1bNbCTuEct1BBmeIxYQcddFAn5FDILLNJoO9e6ftsnHTY+IcNr/qUsnFe17olIIF+AiybeeITn9gZ8vURzA8Y5WwMVm+eVh9LBJSMMZzLREIf9KAH+dz3GpJ/L5rAMBk17PNFX2CEE3hEIo+o43GJZJBZZpuAEfjZHn97L4EFCRCFv+Md79htavfnf/7nGxzLrrNsZsMGL2wAVqe/k17GujHWL/KcWAx4NsqrUyQ3qPiWD6666qpEqj4bmS0UHSVVjQ12KER5SaGsz+GarN1jw5m6nZzH93i12ZyPXWZxThDBYaMashDYrG8xaZg835gXzzr/5je/2aWIw4gda3lWLjzINqgVgIX6yYZr8EaQk46Oc4U6Dz300F7Fl36x2Q0M6+vwN+tE6R87O9N/FIN4UgDtuN/97telAi5lzSPXgSv1cy9ceeWVNGteIUUR5owLijxpgX2ZGJz7la98pYvik2pL32gna+TJFjnyyCMXVNZpy9vf/vbEUxZQ8MvCvYyTCcYYARTYME71uBN14Z7mRXYK53J9lgDwHGCLBCSwOAL8HzPPkEqPw7fPUP+rv/qrbh5mDh1WeDQd57N3C2vfmU9GLUQ3ceoxXzG/kKJMPchAdstnOc+ohfmM54TjeGB+4wkvyJCDDz64q58lAeyMz3Pt++RRXIc5iWwh5hp+Z501G/VxHq96nsSwo+3Iv/o76mTOZ75k2RtZdcx3tcxhnkT2sYSO+a/+Ptq2Ke/I9HIOR45xPfY/YS8E5vBhqef0H/nO8XXhM+RGbMRL/9/1rnd18pK+who53ve4wrqu+JtH57HUj+xB9IG6ICfgxzp4rgHXYcsLiOIzLhxPFhryhzbSXjZx/bmf+7kFn7TCc+d5dC/3Z2m8o6MhB7nfkENwYMx4JOuwvqKTfPrTn+70CJhyff6nWGriI3vrUZ7cvzXgJ3dsbJkEVpwAhgqCiQkeQxFBhiFWFpQTBOWLXvSiDYxIzufZ8ggr0qIx4DEmRy2vec1r0gc+8IHucARjKbhRKojk0x7qxTCjYIDz/FWUHox1juMYNkL6/d///S6boFYQMMLYYZbNzBDYtBFFASUGAcvzyjG68X7/0i/9UnedYT9wZtAWdt3nmjxeB2UUxYu2oBRhMNMf/o4+8c5ncKyNQPix2RoRKBQJ6oUtdVIXz+AlVZT1nnWhX2RJoGSUDDmfz3gMDoop14UDSitjSttQhHmdeuqpnfLJZ4stXOeVr3xlt4YQJSaM47IelAnSAmFNW7heuXmOJXIvAAA2KElEQVQiSg9jcP7553f9RwmEKcw4jhcs3vrWt3bPIiaVkb6WBWY8vu7svHYQpaUuKJKcz/IO2kxhY60TTjihU4bieNpKmi/KGI4ZxhdFGZYoTSjV9IVHX1kkIIHRCWDIkhnDfil9BjyPNuV/ciEDnug7u9kzJx599NEbzAN9reF4ZBgOTOY/5n7mKdrD3IK8QJYgA1mHz/uwuZC5iTkGZwMGIHXRF+YHDDyMTOZXXjgsMOr7DHiMXB7XxjsGGi/kHQYW7aE+5B7zPkvTKMyHyC923Oc85kTqDhmDHGReev7zn9/NU2wo+qxnPavrW+mkDNnCPPpbv/VbnRzs47aYz3BkwIVrMtfChbbSpmCMrsEczKNE+5yxZ555ZrdxG/MtjojoF+3AeH3JS17SPdoWJ/RLX/rSzqhlPCgXXnhhd++Q5TFq4bn3yB0YUk95PerAEGaMGAseT8g6eMa4LNxHBD945BtyjHroN+2lD9F3ni3/i7/4i13fSyOaYzkf+Y+RXhfq+9u//duuf7CkXmQWy1HQ28oC9z/6oz/q9ocgyIGegzMA7jyikf8rHoc3LOOyrMvfV56ABvzKj4EtkMDEE8CwQihgiGGElSXWJz7taU/rFIbyOxQXDCKEBJEVNnshyjFqIQLMhi1sINNXEH7Uy46vUVCKeG44hhUGXxQUQ3Y1rw070qkxuP/+7/++6xvKAUbYoTmqjZBDeCL4MMxRijDaUJrqyA6ecIz21772tV3kJQxVoiW/+qu/2gl2Nlb6h3/4h2hS7zv7CURBIGO00z4MaYQ5CiBKFwIXoU6beNFGItT0sywoFjgzUJz69jFA4MOAiFBdUA4YLzijWKGoLLag9GDsEn0fpvQyVrxQUlGOQ1HiXmOn3T/+4z+ec4gQRUGxxLmCwwVlH2WQ/hOdQCkhsnHcccfNaypKHQZAGO+0Ja7DgXDAUcIrCnUyrhQUbtrCWMCLws7Dj3rUo7p7AgWM4+knRgBGfCjW3cH+kIAENkqASCTZLMwZdUGOsHEqqfFExevC/z/fY4zyf4nRvVBhfsOo5LFoGP7Uj+FINhdzD0YX8wH/z8yDZFQxByMHybbpK+wOjqMw5hHaSvSXaxFFJSpPYf7ms3IO4nPmfOYq5AjtonAtjCpkD46BKMw1yNjnPve5XWSfOQ2jkEe90Q6yEepCX3hRkMc4famT+a0s1IUxWrevPGaU35lX6TPyg7kamYpMggkRYjLKGDPmfwqyDCc1c/gTnvCEeZfg3oAB83j0oTwAhwlMcLJwTFm4BrrBYgx4xhyje5jcQsbzPffb+vXr50XGcYJgcCOjedQb/YI3sgt9iroJbnA/UXAGEJnnb5wPEWTAqc5mq33GO+chn5A7vKJw79V6GroJchR9DHa0AT2GLDOebc//Gy8YokfgKLNMNgEN+MkeH1sngRUngFKDsXTsscemt7zlLd0EXzYKhYOJn+gFwiAED4Y9igjp3kRDeDYvheNHLRhhRKxf9apXdcZTfR4CkYg4kfEoRBh4oSChcGHcYdCfccYZXfviOBQThCLp1OXzh1G4XvGKV3SOAaK2CEYMbwQl0X2i+NT95Cc/eV5qNYKWdkbGANfBc48yxecUossoGAjzKDgUSB3kmch43mMpAN8jiFEWEeAUFAUUuagPIY2CgPKDgEbROOCAA7p0TY6njyiypCfCHYW0LhjBKFGkdsKaSAUCvFTccG7g0cdZMiwtr643/sYhwrk85x0F5f3vf/+cshbHMF58j+LOYwS53yg4YIh20zcKPEkjPOKIIzpHDBtboXhyj0VBaf2zP/uzjgH3XRTuS5xQ3DMokmHIx/ekHbJelvHn3qXgxAmnBecQbcGRQyFq8Wu/9mudwwSllHacc8453bkoSThuMDL4n7BIQAKjEWB+YZ5k7q7/R6kBI5i5os+Ax8GGocb/fekIHXbld77znd18HllhzD/M/Zwf6c047ErjiDmUOYK5kjm7LMxDzD1hvGMwYlxjiDI/YLi++c1v7hyPzItco5xn+Z0MH2QMDlsKBjkO4F//9V/vZCz9D2Mb2YwRSOYP8zcFZysOXs5j7sTALAvfc20KjoHTTz+9y+hCbmFsR8FBvdi5Ps4t35EnZNKVMvY5z3lOOuqoo7o2IluQX8jWKMyxRL4ZB5YuUEKW4YTn99KRUZ6HLlIb7/E9usBiCrITmUz7cKZwn5TjxdweDiccz2TDRcFARzbjuIhCFiJReoxndA/GEcd6cKd+7jec1Mg45D1jgNGPfCKYUeoO1EuWBYEOsva4H3hxL3CNKDjGuRfingq95HWve113CM4G9COujy5Au8kMCfZRj++TReDm/+LJapOtkYAEJohACCzW8BGZRjHoKyhDobjwPV5eUrcRDhhOdTpXXx19nyGYSOuqI94ci4FdKyhRB0oKbSUK85u/+Zvz0qDjXAyuUrHgc/qIoUpBCOIgYK15FK75u7/7u/Oui8GLAlQa7xyPYY5RGAXjFCURARoFYxWBS2obHnKuTyE68573vGfOeOczBCoKA4VxQVFDeYuCcwAFMcYsIgcom8PSTmGEgoAXnig8v4cTJurFoEVRpE2LLfSV8YMZqZEoInVBATnttNO6qDVKUxjwpLWG8c459AuFhrGlb6zZwzlTF5TBiHTFdxxLaikKOr/XBUZEZ3iMHU4dXjwKCEMdpQmFMYx3zoUTzhIK57LetixkWmws26I83t8lIIGbCZBKHA7fmgmGD47hmOPie+YoHH7MxWS+MNcuVJjLiJSH8c6xzCnMh8wvyBucpRgydcGI74uIMkcSIY7CPIYMwXmKI/ApT3lKNwcRrcVoI4Jb9oMoLGnbYWhRD8YcqfIU6sIJEPM6n1E3zg5S1MuCzMKJuLGCkQjrOjNtY+eN+j3OzFrGxhxOHfSn76kjLNfDIRMl+kxWQCmPy++5FoY28zGO8NIBQf9K53ict9A79yEOdCL6XDfaEOcwjiwxQGYQ4AhnL9/jSC6Ndz6DdXDGEYFjuzyHY3DqIPcwxCnIfBzFGNu0py4EE8ga+Z3f+Z1OZmGoc9+GXkCGBk8BKu8pdAHkVxTkcnmvcC+x9C6yz+I43yeLgAb8ZI2HrZHAxBJA0SCSUK/xigYTWcX7HYU0OIQGHn9S3BGqm1pQMBCQdcGYJjKKkKoLyhDpYKxdRwmKqEMcR1sxdstCpBqhXBaUwTrSgqOCSEtsbIMyF88dLs+lrlppIKpQGrGkteP8QNnAWAzjHgUmPORRJwZjKJQoEwjpsi6UUsaBvpeZDvQ9jOKoK94PPfTQ7jrUi9KKMtA3xiimSxXo9LVsV7SBeiOVMD5jfEplmM85l1T1UFZhRQSiLkRMUOT7CteJCHv5PXXHsofyc34nSoRyXhZSQEtORNtKZYxsA6IrtMUiAQmMTgAnJ069es6OGsj2ItJeFowUNnrDcGcOW6hgHJExVTskiVQiE2J+QHb1OazJuOlbjoQzuZxDmKcw8DCwI8qKsUo0nTmvPJb2Eq1mPXNZcACTNURBPhD9rw1J6i6zBDiW+X7YnM/3UcIpWtcZ3y/lHTnUl0VBen9EkofN4czTyPe6cE+EjCy/ox9E2HFykKHGfI3zP/bBYbkTUe1NKegXfXKL4ETffUA7WM5RFzIDyKCgcC7yor7HuTeRe/X1iNbXafHUQ7/j3uLvurAhIzzK8cWALwMLOAHgFgX2OJ+RwXU74hjfV56ABvzKj4EtkMBUEEAAkPYWykTdaAQSERAUCYRaGC94jTGMl1JQ6Oo1zVEfAgrPe1lQnEhFJKXt+OOPL7/qfie9DaOsVuBIlwvPdZyE8V5H/2GBoRwKBo4ClMe6oADW5yIsa8UKhZGocQhoHAM4BGoDFmWkNNi5HoIXz34UlELWczIeUWhvrSjwHdEADHecHFFob1lffM6YlnXG5+N6p219ihppqmHs833NkvagBC2k1CymzThS+h5fxT1dji18cVKVnBm/Mmq/mOt6rARmmQAGF6nyfQUDvnaYspwGWYBhwrKlhQrzYZ9hztyJsR1GC3NL31zI3BIR0vI6yJPSyUk9/P9jOJLdhCFInWRZsUyAeR8DjILzgHkG50BZmN9jnkGe4XCN9sVxzEWRuRWfMQ/Rz1HKYo4dpb44Bqd0Hz+cJ5HOzrUjKh3n8Q7Hxc7hODjQN8j4YnkARih6CHvokG1X7pVTXqv17/S5r084M3BqUBgb+NRjxNiGHtAduIQfOLHZr4Vrxn1GdeggtZ6D7lPKUu5N/s/CmbWEZnjqmAhowI8JrNVKYDUSwGAirZhoY1/BqCWNGyOeVDaEM2vFa6Oz79yNfYYRf2hWXqizLEQ66/VwCB7WdpMW1he5R0kq101HfRjcKAFlIZ28VkIQhmwMFwY2ykafJx4lkTrLQv2loOQ7hDb9IH2OgmOgzGboPsw/ELp1ejv1l4YuApdIUK3kRR3lOyzrvtG2mjH9RakolYCynnH8ztixtKDmR3SNjfwoEa2or8/nfQp2fdwof2MUoFzXhfaV7BiX2ihAoS+XldR1+LcEJNBPAOOd+b6v4MAjjR45w5xEujIOW/4nybYq/y/7zme+JFIf68bjGOY+0o/j/5j/377N0phj+5yZZOTEuVEn8zDzx/Oe97xuyRMOApwTLJl6wQteMJfmjaGP7KwLGUaRCo5RSJtJs8dJQWYaxioR/XrOrutZib9xLNDecEBEGzCk19+S6QYfHOB1gW/pDKm/7/ubrA0cIxR4wItxJotumM7SV89SP0PGc83oY9SHU4Gxp3CPIhvqPnI/47hoIWu5fyPTIdrAO8Z6n55T6hHIT/SIun1lPf6+sgRuDdusbDu8ugQkMCUESAE8P0faiWLXBQUEbzdRa6LApGoRGQgFpD5+MX+jDOAM4NplQdDg0UehI8UcIUQbMK7ZkZ3z6kJac6Rhl9/RztpgRAkoBVt5fBh2KChEx+PvOAYlpFb0UP76jGvqiOsgePv4skae1NEQqnjvWSNeRiqIbKAM1teNNtXvtaJQRwTieDjXx8Z343rnEXdkB+CQIZrAekkcMjg6zs67RxNhKdfIRztoZx/j+H4x79xHjEdd2IiJiBicURZx4LCUorwuiumwPRrq+vxbAhK4lQDzMOniGOV9adj8r7EWnd2yWc6Eo40nofTtb3Frrbf+xrzOfhgYkzgAMKhYFsPaYJy7OKNZg813dWF+6ZsLcTiw4WhsMleexxyCUxujjU3p6k32mCtiSVZ5HvM58x3tpWDQMwdirDLn4NRdTuO0bNsovyODMWSZw5GPGPS0H3nCHjlkwrF0oC6bMofj2K0zBEOm1vWP+2/WrrMhHUv8uFdZ845ziM0X2Z+F/W0iS7Fsy6b0uzy//B1HV58DmeUF3OOhRyC/0NfKyD/ZIjib4piyXn+fDAIa8JMxDrZCAlNDgEg4ihXCByFcF4RDRHF5Di+GbYuCgcsGbigDpISVhYg1KXIY8BhcRGNIZ0Yh6ysoRX2CjXaHohTnYdAOM2rZAAmDHMWBte21AU9KZr0+H+cB59SFTQIjuk77+gx4FFnqRLkNBRIerLOnjRiT1MGGga0jMnG9ut3j+pvrobyzASLjjjKCg4X7DgUI5R1GLZxDC/UBxbovCofTCAOe+wWjHUWRCAvcGQsUH3YprvdPWOhaficBCdxKgDmVTSqJVteFuRAjiA1HMQKZ94i+9u1OX58bfxOdZd4lIwtZhgHDY0NjfuHvxRiAPJINI73P4cA1Mbh5pBjXQy7goETmUPisb98O6kIekPYchegpc82kF+ZwshIw2BkbZB8ZCiwVYB5nDkeWt5rDiSxPwlM/6Df6CvcmAQz0E2Q20XD2OMDJg+MZFqM62jdlrHEk9ek5ZK7g9KeNtJUXOgy6BLILecaY8HSYjWWzbEq7PKcNAQ34NhytRQIzRYA0RRSROvrJ5E9qOYXIKTu481mrgjHEGjdSCEvDmN+Jxp566qmdMscGMrQx0unq6xPR6IuqYnz1KWwIuL5CPShl7DZP5KZel4nxhwAlnS4KQrze2IzvcYyEsKQ/sb4+zuOd9eqs6UdJ7XOe0E4UQgzfUAzL86fp9/K+wVBmiQFjzNjjpEFZY08G+owCP67COJT3WlwHwwLHAu3oGwuUIBRtlCCLBCSweAIYFBjFbCxXGzr8zyF/eOQVy42QC5ti1DLnYvzHBnKsVcdwZ05nXiZ6SnbXKIX16kTXcTYiH8tsnPJ8op88lQN5xlM3aAPyqJYLnEOmGA7EOrJc1jepv9dzOFkSGO1kkuGYYBM3lkRhLNab921Kn+CPrFjpUvabjAmcM2zoS5CBiDyFVHqi8uzf05ex0aIPOPu5dl1wXJEZwW7+fbILmco9iVFfZyTWdfn3yhHQgF859l5ZAlNLgFRmdnitDfgwdDEeSZ/n2agtC8Y1O+FjyNVGFYYyj3FjMyMM63hWb9/1aR9KGwKuLAjeUvjyHUpY9Ks8lt/xYGP0o4hg0JF2ydr7SGknSsuzWzE0ichi0JNKSPsoXIsoE2shR8lUYDkARmO56VxX0Sr+gWILVx7rhjJNQSmCGdF5dvUdpwE/DC3KF0bDKOM2rA4/l4AEhhNgfkSGsDEdUdt6HsawxYCn1I/7HF7r/G8wJN/ylrd0ToKIgJOS/vrXv74zsHgm+6gGPDVjkBJZRVax3KlMSy6vTLbWy1/+8s7JjPzg+D7nMQZ8n7O5rGvSfyeDgB3YcVrE3jPITh7r+ZT8aL3z87K4FgZ8maUwCUwYewIaL33pS+ceB8sYs6khT5jBOQyXcRnwwxiw7OLQvNxjUxxew+r08+UnMH83qOW/vleUgASmkABGC6lhwzanI6W779muS+0qwo/r4hyIaHXUiXLH81qJfGC8x7Nz4/vyHS99X0SDKE8d6cEYrz+LulD0UL4oRNBZ00faHMoJBQGOh512YWSirERqPIY/GwLySB3WxpX9wUDtSwXESdG3KU13sVX4AwUdRYfn5YbxTjfJtDj55JO7+48MiHEWlmLEGJfXQRGtl0yU3/u7BCSwdAJEVfn/7zNuqZ15FHnAfL/YaGGsm8c5GMY7czcRf9bG4+gdZoD39QxnL7KCpVs8A5znd1NH7RTmXI7FwRvr3nHO1juDcxyZR33ZWHw3DYWsAp4pjoMljHfafcopp3QGPPNrqzmce2FSCnoDugj3ESnzUbg3zjzzzM4JzzHDsjTi+KW8cy/3LeEig61vw8SlXMtzl5/A5Nzty993rygBCWyEAEZxHfWIU4iMsMa9r2DAD/uu7/jFfkYaOeu8y0I7WdtFYQfjMm29PI7f8dT3bfxDZLyO7KPADTPgUT5K5Yw6SZV705veNJc6TYTnNa95TZeyxuZ6pAuSwYAQJx0cZ0NdMOD7lDkiQZGCV59T/j1szMpjpuH3s846a4P1r6SkszSC9PTl2GCHcegz4In8X1btxdDHdLWMRV/f/EwC4ybA/x5GUN98yLUx7ElbH+ZMHtY+jCd2byf6GwVjm2VKh+boJPP6sHk/jq/fMdhYA4/RjYOYyCt7wrCkqa+Qvsw5XIe14jgr6oITk3mfKPZiCg7hYU6P5ZyTyG4444wz5ukRsGEORw4vxxy+GG6tjmVTOJzMjF8U+otugn7E2C92HEpdI+pc6H2YAc/mdBdccMFCp3bfLbZ9G63QA5oS0IBvitPKJLA6CIwiKIg4s36vLihafY+OqY9byt9E9/vWFiNwEJI8XqfP6IprEt1mHVhdMNbrtHoM+r5N53AgcK2ycH0eafeGN7whscEdKdZvfOMbu7VvGPXve9/7OoWNXZOJKqG09bFGGe3LEKAdOAFI0y9LCFoMSiIbKA6Rps9xfdeI8+vv6r/juBbv1D1q/RdddFGXNluvC2XJQSjzbCC32KgbUZo+xTYY1v1kHPqMAxRq1nP2Pc2AOkiNZFdsnDcWCUhg0wmwz8RjH/vYDR59RY38byIPFrP2GaMRwxnDGEM+CsuqkB2RQcXcUm9qGsf2zWNsnkrGUMzPyAfW8OPUJbW+b67CwKMN6/N6/75oKddjyRjLw/oKMos9AMoMJY7DgC+zuuJcnAXlXMdcWP4dx7V4J+LOErJ6CQAZE9HXxc7hfdyjrePqR9Q/6jtZFWyESIZHWdi7BuOdwthwn/VlDfT1kc+Gya1h/eb+qwMdXJv7n3u0NuKjHtr/whe+MD396U/fYOw43zIZBDTgJ2McbIUEppIAO/iSulgKHCLfw3Z/j04uFNlY6Ls4nwg1m8AQAa8La8TZgGihgiAl1b1+FiqbD9UGI8pHqeRFvaTDY4BH4TzSJl/5yld2j2TBiUGEByHIhjE8Ao918jz+B+dDbfxHPbwj5NljoK+gJLLuk8h+FPijCHL9d77znV3Ep1QMSNPrS9Xr+7zvOK4z7PNowyjvKAihJGzsePYK6DOOSTtFMSTtEuWwb+0kbS37X15rmAFfR0TOzo+p+8xnPpN4HBBOg75CtI1dq+usDdITybDAQFjMrth91/AzCcw6AYw85s96vsYAwjAu5+FRWOEIxXhhvi8LTk8ch/z/Mp8zt4QxXh6HjOoz7PmcDVRJmWa/Ewrr4Xk6Cmvp62VdzIXsZ4Jhxnrk+vu4Ju1hqdVHPvKR+Kh7p/3s0M8jLXESlAVnBNeuC47Hci4nnZpz6zR22lYeV9bTN4fzWf05sopshLrgbCAKzDXJKMPpXZdhcziMR9ER6vpa/F33r6/PXAe5RQS+LtwT3F+MAU4XNvOr9Q3Ooe/hRIo6kFvDHDIlD/YAIquEewPjHT2nryBH2eeBdkRBj0CW0S7kH5vY9V0zjvd9ZQm4id3K8vfqEphIAkRymchRaBDApBT2FdbtPfGJT5yn5KCELJS+Tj3DNm1BEPVFu/uu/chHPrIT/nVkgqwAdlddqCCoSF3n8TYIqiisT68jGRiSkZofxyHYiAhFJJjPUbKIvsRzvxF8eLqJkJCaibAPJQmFDQVwmJFJmj2pnCxTKNcNch3qIPKLgCe6Q3QKJwMRJTZ7I7uAMakVzL7dZmFdpzDyd6kQcE3aTmZCXwSA70ct9LdvfLlerSyyJhV2dWEPAJRWItw8oxkjvi70lXEkCsK9XPLA+QOzurBbL+ewrp06eUb0q171qs7hgrOIKFisV41z+fsd73hHx4ZjYI5CTKYFiulxxx3XOW3ieN8lIIHFE2DewfGJM40nfcRcRso5j2JbrJHBXMP/e22QMTdheOGEJYMrHnNWt5i5kP9v5i3qYJNSCudgNDMPI4Oe97znzRliOAGROWRQxZzLPE+feKeQVk6Kdd+cxnlsAkf7Qr4x/zH/MO/g4CgLcqAvK4H19Mg0nO8YlDh8681oqQdGIbvKepGdffMyY1LP7TiV64w26kKnILWefiLfmKfrAlvmeh43h5HJ5rVkMMCuvk6cW8uQ+Hyp79x/fU58xr6WlVwLGV1nHfA5PHj0IUY7OhB75tT3YNyb7JnDPYojnw1Tua/6AhbUhe6B3MEoZ2NE/idwCMX/Df87OKPLgm6HDOV4NtWjbtrExovIOgIMZAnWjoSyDn9fWQIa8CvL36tLYKIIIIQR8AgPjFa8uB/60Ic6Q5EJHkO0LEzyMfkjbIgmICwQ8n2F+vC8l+nd5XF4phEgGKZ1tKU8jt+5DhvahQHPNUmnxPAdRehw7DOe8YxOmUHwUVAMUMxQcIjiI7QxxspIMCnVCEiEahQUGnabDeOdz1G4KAhODEYEPS+MWDjSRhQs2oEiSlS+NJCJ3LIJEkpbbTgiaN/+9rd3kR6iTxiesCNy/6xnPWuD9f1sflen83WNyz9Q4ugnSiTKFgoV41QWlAzui8uyMdyX2l8eu9DvZA30KTb0DyWE+yccD+wnMGwcWX/OC26kvHJP1cob9xHX4x5lA6Wol9TNUJpLpQyHFfd6KDGwiL6iVJ944ond5la18oqSicLP/cB4Mt6MM1koKJ3D+rAQJ7+TgATmE2DexGnKPME8xFyJUcx+IostnNuXWkw9/N+zxImCDOC4eu5krmH/EjYoPTQ7t8OAJ+rNi/YRMcegJ0OAOYj2M0eHY5f5iE1McYJHQaYhWy6++OIN5knmHXbi54XjGBnKnIVD8tnPfnbnLIx6eEfmYKRzndLgZS5nXT5GNMu8mPNoJ3WVcyiGMvMnhiEO6yj0DXlSF/qG/AtZwvecR919BUcMLzbEJUMB+Vkbw2Q/sFM9THG2Y8BjzPddn2sgy+DSt1Shrw2jfgaHvo0EMZ6Rl4xbqa8gB8pxLa/D/cuLgq7C77AvC7rXi170oo4HegCyBY5cB30hNlzknLgvXvva13YOEcaLPRfCSY3expK60047bV7WHufCCgcQ48BYcZ9zTyB7SaEPRxHHWiaPwNo8qKdNXrNskQQk0IIAQpEJHuWBgvBGoGP0lEY2hjuRR4zXt73tbZ1nOIQKwpIXigLH8V5GPDD8EKpEAzBY2FEdhSUK1+R8jCzSjVF8+oQhx2PccRxCHQUCQUz9ZVujXt5RtkhZRGihlGGose6cNm6swATjF8MZAx6hiALD+yWXXNIpIqQWYsAj6GgDgpR1zewqXxrbnENKJlHwKCgyEUEgkoPBibLEO3/jiSf6Qfog/BDUKGbhJKHveNFRvjDQYzyift4xNlFaGGP68cxnPrMT1uUxn/vc5zpjH6cMx9UFY52+YPzTNtbv96U90h/aQhuJ7pT3QF1n/TeKHX2nr7CtC5EJ7gnGGgWF8ePFPRXKTpzDuHEPY+y/+MUv7pwcsOfe4V6LQlupC8UGNvE/AF+UG45n3Eulkf+BSH18yUte0jmS4njGHt60n/+DutCHuA9RtF72spd1EbX6OP4m04NxK+8h7j32lfCxdH3E/GyaCPA/Raow7zF387+JM2vYcpRR+odDLdYWM1+ddNJJnTNulHPLY2gTEU0MF/5vy8K8hsFIJhn7l2AE49Ct51/mzUOz8Y6hE5lYzNNEjDFmMe5oK/IJowg5wovv+L/H8cDu7DghgxFzDcYXbYMfcqevIPeQj8xvRPlx2nJOXTD6iAYzj5aF9qAbYLAx5zBfXZYN83IuZD7iOOqFO1yImOM4LuVc1EtbYYkhi1xl/ub6yHNeZWEupq/MqezZ8vznP7+Tn5xfOxGoj8w2stFwbKCf4LSHQV0YE9rB/B5jUh+zmL+ZoxlD5Ba6UV24J5AZ9IV5mz7TN+4fxpkIdymTOJ9jcSLjkMDJg3xDP2I8o1AHsoanrRDMQBfgnkHucl8hg0pZzrFkUSDTuB+oOxzHyFQc1owt9yLn1wVu9BWmjDWbQjImfYVjcFrEPcsx1A1v5KxlGQnkm8siAQmsUgI5kjDIBtkgKyLdKysMg2xAD/KEO6/H2WAb5Ggv1k/3ypPzoHzxOX/njd8GWRjPOzcLnsH5558/yEJpkNcMzvuOP7KgGWQlqLfe8hrl79GOnN41yJH9DeqMD7KCMciGVld3NuoG2TDurhffj/qeDe1BNv4HWVDOMYg28J6F7iCvrR9ko7u3SvoI1/Kcxf6ePeVd+7NxuME18mONBlnx7caAemtWOc1ukA30Dc7jg+xUWZA99WVjuGt/Ft6DrCgMPZ5jc0RpkLMLeq817MMcjR5aZ/SFurOyNsh7Bgyy0tlVlRXFQd6Bujs3K5CDrNh0bc0Rp0F2THTHZOVlkFMRu3szK5vdsdST9xsY5DWjw5o0yFkV3ZhzDvXSDt6zsjPIUYlBViQ3ODc7GQbZeTNgrDg+xoJ3Xtw/OVI/yArOBueWH1x44YWDvEZ+7v+S/8+8r8GA/0OLBKadQHb2DbKhNchLXebuceTQu971riV3jf8/5vqc+TXIBtSS6jv77LMH2YCd+z/m/zfvXTLIy2cGyBZKNq66v3OEcsAcxP95NlYGed35IBuU866fDfRBdiwMslE+yBu1DbJR1x0f8wPvzDHModmAnndu+QfyJKfhD3IGQHc858V8E3Uccsgh3THZYC1P3eD3vA59kJ0Fc+2IerJhN8gZDYPsxBygF2Sjd44Dx8RxXA8eeV30IK+n3uCYODaOz0b7IBvcc2PDXJczFLrz4Mdx9Cs7mwfZMdK1l/k+r90e5Ej8nAzORnA3xtlYn+tT1BM8ymvH73yHrGxRsmNkHre4RvnO9ZCZ2Wju7pW4bnbSDrIR3N2rcd9kA3yQN1zs+hrHIUtz0GMAN+pC16D9/P9kYzsOm3tH3tGuGC/uJ17r168f5DXtc9znTih+Qa7lZRzz7in6wnV5ce9nZ0Vxxoa/oo9xv4ROyTuyLDsrNjzYT8ZKYA2154GzSEACq5AAEe/w+NM9vNt4ZlnblCf9uR4TUcSbjLc+T+jzvKscxDTBKwuizruNF7kseI/xnhN5ryMBnEd6PcdE3bwPK3Et3qmP9pZtrc8jSk7Un4gMXmiiEostcKH/eLDxhuNhJiJB+hkRI+rGq48nHI92X2HDMtoRz3nvO2Zjn+E5x+tOhkRZiCrg+Sa1jqgxkR4i4kRr2E2fVDf6XY8LddAnxhUPfl+h75xHpANPPn8PGx++Y3yJNBAFH7UQXSdiwDgOq5vxphC9YNw5jnuG+5f7hygB1yVixTG86BPnwYLxI2LEO+cTreCYPiZch77QX87hGjAmYkQqIdep72PO4Vqw5MWyCqJY3C+0g+gDY0EmBddf6J6NZRolQ/pK9siw1F6ub5HANBAg++Wcc87pMnbi/z2idCeccMKSukBGERk3RHnZY2IphTmJ7KmQT7Gkif/9iGAyT3AckcuYx4igEnFFHpTzKhlXpLgTWWYOZ+4l6smyGuYMdl8nq4o5hvrLc+t+wJA5j/RtIq6Rnp6drF00GplEG4bNb1Ef7SdKnA3pucgp7UCuwZB5n/4Nm/s5n3mR+Yw5krl22NzG/Mh4M3/SP35Ht4g5nGtwPeZwvocfOgXn0d+Yw+k314w5POZJxoq2Um/cV9FP3qmH9sKEc5daaDdtYZz6rhfX5J17hnk/xpR2RH+4b+gDMppjODb0COZ9ZDt943qcH/cHfPoKbaLOkO3Uhy4AM2TesAI7rsX9wD1F9J+/SZnnfkCGMTbBu68e5CUb5ZX3AGPHPcWSEMvyEdCAXz7WXkkCy05gVAN+2RvW6IIoB2xoRtoYa+XYeCwE46ZeAkUTwYuygiBDGdmYksS1ENjsEsyaR9q1KQUhnKPtiQ36hhUELsog7UTA075SmA47b9o/h+84+wnPUL5GYYWyiCLFfYJyh+KEcjpK0YAfhZLHTCuBcRrwGJDMfxh+GCytShifS6mPfjMfYJzSPgqyAOOfd+bqhQysYdemv7yYAzd1zkduINcotGOYcTisDS0+H/cc3qKN46ijxb01rF3ILeTiMAfDsPO4T7kfOB8HAPfEKPJPA34Y0eX/3E3slp+5V5SABBZBAMWFCAZGD4b04Ycf3m0uxO+siWPNIV5tNhkLpWkR1W9wKEKM+niNWhCCeLRZ246SQsGrzTptvO4I2IgOcCxKKNF0IjZEJaLgGccoXKigAG6KErhQndPw3TiNd/o/ivJSckJhwoBoaUSU9fu7BCSwIQEctEt10m5Ya1q0AdRXBw7fOnqJTNqUrLCyfhwCvJZSJkFujHsOXwqfcZ67WON6MW1ZrNyKunHgrIQTJ67v+9IJaMAvnaE1SGCqCCBMpkmQYriffvrp3QY6KG6kj7/61a/uDGw2HCN1nQ2H2IhnpQpp82yuwwZwFFLa2eyOR8CQ5lgb8KSysfM6Kf9sZkfKPiXSCrs//LFqCUzT/9+qHQQ7tqwExhmFXNaOeDEJzDCBFkGSGcbXtOsa8E1xWpkEJp8AEWAivXhuUaomuZDaxSNv2MGcQjSenVt55i3p5uwiTBrYoXk3YNbgk6a43IoiadM8sgxDPArOBFLp2cE40hbjO94x4DiGtZKsZQsDnnWNOFg4h5RHy+ojQOYI4zvOqMzqo2aPpp0A9zvrfUnBnXS5M+2sbb8ExkEAnRF9xTIZBDTgJ2McbIUEloUAhiPp2+9+97uX5XpLuQhtZVOXeKxX1IUS+Na3vrXbLI6NedjUB6OIR7KthGKIk4E2loY6kXUet4NBTko9yiuvaF98xuPjPvzhD3ddo788d5hNj9i4KFLxo9++rx4CjDX3rEUCs0IA5Z/lQjySyyIBCUwnAfQY5Jdl5QlowK/8GNgCCSw7gU1dN7WcDUVQsPN739q//Diibjdanj3KM05Zh8wGQitRMMpxIhx44IHdc19pAyn1KKrsRMxzdtndGEMfo5z0eXY9Zs18PH+e744++uguKk9En+OmYYxWgrfXlIAEppeA89r0jp0tl4AEJoeABvzkjIUtkYAECgIYxkQpMdCvuOKK9LWvfW3uW4xgNpk77LDDUn7GbZeaOfflMv9C2j7r3A/Nafzs5Prxj3+8M9BZpsA6dx55hNKK15o+YZxzDg4H+sfjW9iYj03vwshf5i54OQlIQAISkIAEJCCBKSGgAT8lA2UzJTCLBDB0SUM/5phjumeWsv4KI5jIPBvF8cxsNrZjXf9KFrIFiLIffPDBXbt4Piu7yfMitZ61+yxdYIdijHR2BCZ7gBeOCJ4rjJFv2vxKjqLXloAEWhJgrmZutEhAAhKQQFsCGvBteVqbBCaKAOvFea20gbsUKBi2pKjzKB7WxFOIdGP4EtXmeaaTUFBUMc5xLESqPJkCGO68GAd2cCXqjtMhnsUbEXm+t8wuAcYfg8cigWknwH3M/cxLA37aR9P2S2BhAvyfE2yxLC8BDfjl5e3VJLCsBNjlHAN32pUo2o+xHpunYPTymlSDh/b2vWhv+aIPFglAACcbTh2LBKadAE5XnsChAT/tI2n7JbBxAsiu3XfffeMHekRTAmuyMqnLvylSK5OABCQgAQlIQAISkIAEJCABCbQn4LMA2jO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQQHMCGvDNkVqhBCQgAQlIQAISkIAEJCABCUigPQEN+PZMrVECEpCABCQgAQlIQAISkIAEJNCcgAZ8c6RWKAEJSEACEpCABCQgAQlIQAISaE9AA749U2uUgAQkIAEJSEACEpCABCQgAQk0J6AB3xypFUpAAhKQgAQkIAEJSEACEpCABNoT0IBvz9QaJSABCUhAAhKQgAQkIAEJSEACzQlowDdHaoUSkIAEJCABCUhAAhKQgAQkIIH2BDTg2zO1RglIQAISkIAEJCABCUhAAhKQgAQkIAEJSEACEpCABCQgAQlIQAISmEUC/w/a9f1Zf5ZCkAAAAABJRU5ErkJggg=="
    }
   },
   "cell_type": "markdown",
   "id": "ab987c58-3740-406c-8a5b-90e6eb4686d6",
   "metadata": {},
   "source": [
    "We draw the model of Reciprocal repression GRN\n",
    "![Picture1.png](attachment:0f235424-37c2-4221-8f0e-545c702beced.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "989780fe-2f7a-4ac2-ae47-d9ee1bd967ee",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "initializing: dinkum v0.3.3\n",
      "start=1 stop=7\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=560x290>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#GENERATE A BOOLEAN MODEL OF RECIPROCAL REPRESSION MODEL\n",
    "\n",
    "dinkum.reset()\n",
    "\n",
    "x = Gene(name='pax3')\n",
    "y = Gene(name='foxc2')\n",
    "i1 = Gene(name= 'I1')\n",
    "i2 = Gene(name= 'I2')\n",
    "o1 = Gene(name= 'MYOG')\n",
    "o2 = Gene(name= 'VASC')\n",
    "\n",
    "m = Tissue(name='MYOGEN_FATE')\n",
    "n = Tissue(name= 'VASCULAR_FATE')\n",
    "\n",
    "i1.is_present(where=m, start=1, duration=7)\n",
    "i2.is_present(where=m, start=4, duration=4)\n",
    "i2.is_present(where=n, start=1, duration=7)\n",
    "i1.is_present(where=n, start=4, duration=4)\n",
    "\n",
    "# now define a regulatory relationship!\n",
    "x.and_not(activator= i1, repressor=y, delay=1)\n",
    "o1.activated_by(source=x, delay=1)\n",
    "y.and_not(activator= i2, repressor=x,delay=1)\n",
    "o2.activated_by(source=y, delay=1)\n",
    "\n",
    "# run for 7 ticks (1 to 7)\n",
    "dinkum.run_and_display(stop=7, gene_names=(['I1', 'I2', 'pax3', 'foxc2', 'MYOG', 'VASC']))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88a97d3c-1a8e-4893-a30f-c546e2814f78",
   "metadata": {},
   "source": [
    "THIS SUBCIRCUIT CONTROLS 2 DIFFERENT STATES (MYOGEN FATE AND VASCULAR FATE IN MOUSE SOMITIC CELLS)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "44f960c5-cb17-42fc-926e-b99efccd2d86",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "initializing: dinkum v0.3.3\n",
      "start=1 stop=7\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=620x290>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#GENERATE A BOOLEAN MODEL OF RECIPROCAL REPRESSION MODEL WITH ANOTHER REPRESOR INPUT TO PAX3\n",
    "\n",
    "dinkum.reset()\n",
    "\n",
    "def custom_represed_activated_or(I1, I3, foxc2):\n",
    "    is_active = I1 and not (I3 or foxc2)\n",
    "    return is_active\n",
    "    \n",
    "x = Gene(name='pax3')\n",
    "y = Gene(name='foxc2')\n",
    "i1 = Gene(name= 'I1')\n",
    "i2 = Gene(name= 'I2')\n",
    "o1 = Gene(name= 'MYOG')\n",
    "o2 = Gene(name= 'VASC')\n",
    "i3 = Gene(name= 'I3')\n",
    "\n",
    "m = Tissue(name='RECOVERED_VASCULAR_FATE')\n",
    "n = Tissue(name= 'VASCULAR_FATE')\n",
    "\n",
    "i1.is_present(where=m, start=1, duration=7)\n",
    "i2.is_present(where=m, start=4, duration=4)\n",
    "i2.is_present(where=n, start=1, duration=7)\n",
    "i1.is_present(where=n, start=4, duration=4)\n",
    "i3.is_present(where=n, start=1, duration=7)\n",
    "i3.is_present(where=m, start=1, duration=7)\n",
    "\n",
    "# now define a regulatory relationship!\n",
    "x.custom_activation(state_fn=custom_represed_activated_or, delay=1)\n",
    "o1.activated_by(source=x, delay=1)\n",
    "y.and_not(activator= i2, repressor=x, delay=1)\n",
    "o2.activated_by(source=y, delay=1)\n",
    "\n",
    "\n",
    "# run for 7 ticks (1 to 7)\n",
    "dinkum.run_and_display(stop=7, gene_names=(['I1', 'I2', 'I3', 'pax3', 'foxc2', 'MYOG', 'VASC']))"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
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 },
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}