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@ogrisel
Created September 28, 2025 13:59
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Proabilisitc regression
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Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 261,
"id": "bdf08b18",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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8hSy2oXPVujz3Hx3h8Z4i16zLY+oaQRQzVvdJWTobmlIXbCZVkqT5yfUCSZKkZSjVfb53YIBHTxUZqfkcGapydLhGGAs6czY1L+TEaG3VG1evVFubMxWypC2dq9fl0VWFkZrPcNVrBJX5xDkLiKULVxzL/axrYSXuu8wsSpIkLVHJCXjg+BhHh+u0phvBWRDFDFV8al7E1rb0OakSXsm2NmEUE8Zi3kKWQtIkLCS5oitLytIv+L2Z0uozTRNVVent7aW1tRXTNOX3yzkghMD3fYaGhlBVFdOcu5PBQshgUZIkaQkmArSKE5CzDVKWjqooWLpGa0ZjqOLRX3LY1JwiiGJKdX/VCl9Wsq2NrqnoqoIfxiSM2fsPgyjG0FRySfOctsi5mIqHLjWqqrJ582b6+vro7e1d68u55CSTSTZs2HDW6TFnsup/0j/+8Y/zwQ9+kL6+Pq688ko+/OEP8+xnP3vO537lK1/hE5/4BHv37sXzPK688kre+973Lnj2oiRJ0rkyEaA1pU1K9YAgirH008FV1tYp1QP6DZf+kksoBIaqrkrhy9mygYtpa5MyNZrSJv0ld1qWcsK5KmSZGhzW/YihistYLVjT4iFp6UzTZMOGDYRhuCazjS9Vmqah6/qy/2G1qsHiF77wBe68804+/vGP88xnPpNPfvKTvPjFL2b//v1zdjf/4Q9/yH/5L/+F97///eTzef7xH/+Rl770pfz85z/nuuuuW81LlSRJWpSJAK0lZZJNGoxUPaz06QDKUFWGPY+BU0UKKZPmlImla/hhvOKFLwvJBi60rY2iKGxsTlFxQ/pKDoWkiaGp57SQZWqhTsnxOTJUR1Vge0eGrlxiTYqHpOVTFAXDMDAM+XldaBSxiruub7zxRq6//no+8YlPTH7t8ssv5+Uvfzl33333go5x5ZVX8qu/+qv8yZ/8yZyPe56H53mTvy+Xy6xfv55SqUQ2m13eG5AkSZpH1Qt58OgoKUsnjAWHh6o4fkgmYaCrKnUv4Im+Mi1pi2dtb521ZNtXchqFISswHk8Iwb7x4pa5soFLOddcldXNGZMNTaubzZvatsdQFR49VeTkaB1VVbANncs6MmxpTZO29BW9h5J0KSqXy+RyubPGTKtWDe37Pg899BAveMELpn39BS94Affdd9+CjhHHMZVKhaampnmfc/fdd5PL5SZ/rV+/flnXLUmStBATy7VjdZ+0pbO1NU1z2sL1I4qOT0/JJWfr7N5YmHNv39R9hMs1kQ1MjQdQbhARxQI3iOgrOUvKBuZsg6u6c+zZ3MSeTQX2bG5iV9fqZvGmFupkEgaHh6v0lVxaMgnW5ZMIBE8PVXh6sEJ1vAfkSt1DSZLmt2rL0MPDw0RRRHt7+7Svt7e309/fv6BjfOhDH6JWq/Erv/Ir8z7n3e9+N29/+9snfz+RWZQkSVpNcy3Xbm5JUXYDRqs+rRkLhJhz2gms/Hi8nG2wqzs3KxvYmU8sKBvo+BHDVQ8hIBYCQeO/CtCcss5JQcnEPtC8bdBTdKh7EemEjm1qKCjkbBM/iCg6wWTxUBgLgjCiCrL4RZJWyaoXuMz8AyuEWNAf4nvuuYf3vve9fO1rXzvjkGzLsrCsuf8yliRJWk3zBWjb2tM0pywO9VdWZB/hYq7nqu7cvFXDjcxdnZ8eGeHocI1furqTq9flAbj3yQF+755H5j32O150Gb972zYATozU+fR9x7isI82O9gzb2zMrUhk9sQ80EoJSvVFlXnVDwkhgagq6quAgSJmN4qFKKsQLIg4NVHH8SBa/SNIqWbVgsaWlBU3TZmURBwcHZ2UbZ/rCF77AG97wBr74xS/y/Oc/f7UuUZIkadnmC9AAhqveOa8qVhRlWuBWcgJ+eniYHz41zI+eGuLkqDP5WFcuMRksri/YJAwVTVFQFAVFAVVRiGNBxQtpnZIhPTpS4x9+cnTaedcVbHZ2ZLluQ54XXtnBtrb0oq99olDH8SNCIcgnDNIJnbF6gJk0CWOBhoJlKDh+zMmxGgLQNYWmlIWpq6tSQCRJl7pVCxZN02T37t3ce++9vOIVr5j8+r333svLXvayeV93zz338Nu//dvcc889vOQlL1mty5MkSVoxMwO0CWtdVfzDQ0P81qcfIIpP1zEamsLujQUu78xyeefpDe3XbShw4H0vnvM4bjB9T+C6gs0bnrWZQwMVDvZXGKx4nBpzODXm8N0nB2jLWJPB4snROvv7yty0pfmsgdvEPtBjwzV0RSGMG8v4TtC4Z2Ec05w2iSJBse6DbdCSSdCVT04eYymNyCVJOrNVXYZ++9vfzmtf+1r27NnDzTffzN/+7d9y4sQJ3vSmNwGN/YY9PT388z//M9AIFH/zN3+Tj3zkI9x0002TWUnbtsnlcqt5qZIkSStuufsIF8sNIk6N1dnWlgHghs1NFJIGOdvg2dtbuXVHCzdubia1yCXjmcvoW1vTvOeXrpj8/VjN59BAhX09JR45UeSGzaeLEu/dP8Bd/7ofVYGrunPcsq2FZ21rYffGwqzjTuwDLTsB/WWXWjWkPWvTnrE4PlYHFDRVZajq011IkLYMOrKzs7awuEbkkiSd2aq2zoFGU+4PfOAD9PX1sWvXLv7qr/6KW2+9FYDXv/71HDt2jO9///sA3HbbbfzgBz+YdYzXve51fPrTn17Q+RZaBi5JknSurPb0kbof8rc/PMI///Q42YTO9/7Hbahq4/hlNyCbWF5Qupzr/8IDJ/jkD49wZKg27euWrnLTlmb+/BW7WFdITnus5AQ80Vti7/EiNT8klzBoSjem5LhBTMY22NGW4tBAjdaMhTrHtUSxYLjqsWdTgfw8k20k6VK30Jhp1YPFc00Gi5IkXUq+d2CA93z1CXqKjb2I3Xmb//vfbmJ9U/Isr1yYufotLqWApK/kcN/TI/zk6WF+cniYgbKHqans/dP/QtJsZP7+7fF+QHDLthYylk5fyeXYcI2SG6ArCoamTvZ61FRlss/lXAVEbhBR80L2bG6SmUVJmsdCYyb5J0iSJOkC1F9y+bNvPMG3H29s1+nO27zrxTt58a6OJVdYz8wghlHME71lauM9DZdTQNKZs3nV7nW8avc6hBA8NVjl0EBlMlAUQvDh7x7iQH8FTVW4fkOe2y5r49btLezqzhELMS2rKYQ4L8YSStKlQGYWJUmSLjDHR2q85KM/puqFaKrCG561mbf9wvZF70WcamYGUVMbAZeqKGxtzcx6/kpOTyk5AUeHq3zse4d5rKfIQNmb9nhzyuSl13Tx3l++ctbrJqa9zFVAtFbV0Ku97UCSVorMLEqSJF2kNjQluX5jgYob8Ocvv4orupb3D+OZQZepqxQdn6PDdQpJg/ZsOGspd6UKSCbOXXUDXnPTBvxoHb1Fh8d7ShwZqvFkf4WRmt+ofh4Xx4L3f+tJrlmf5/LOLHU/PCcFRAt9P4tZtj/fAsuzXc+ZHj/f3ou0cmSwKEmSdAE4PFSlK2c3ppkoCn/969eRsfTJQpalmjpib+pyrqGq5GyDIBL0lxy2tqan/eBfiQk0E+ceqrjUvIijwzWqbgAKFGyD5+xo5c7n78DU1WlZ0wP9Ff7+x6f7PG5qbgTP163Ps3tjgZ0dGVR11abZzmuuoPtMy/YrsR90aoCmqY3l+YobApC1DdKWPrlsX/VCyk4AQCbRuJ8VN0SIRq9KL4zpKznUvZCaH6EArZkEOzsy5JImxbrPk31lTo3WqY1ntTtyCa7oypE0VB7tKTNQdtEUhULSIJXQ6conKSQNhBCUnYB6EGPrCoauYekqhq7JoPICIINFSZKk89x39w9w5xf28rydbXzk165FUZQVy5pNjNgrzKgY1jSlUVSiKwyWXbLjDbJto/GDfSUm0NT8iJMjdXrGXHqLDqpKYzyiAuV6QNFxCGLBr9+wga786UA2aWq8/pZN3H90lCf7yxwbqXNspM5XHu4B4A9feBlvfm5j2ozjR9T8kJZ5xi6ulPmC7vn6Ps4XWPYVHQYrHjva0zSdZcxiyQk4Nlylt+hSrPsMlD2qro+iqmiqQiahc3lHlm3taU6NORzsq1B0fDw/oh6EoKioCrh+RBDHKIpCytRIJ3SSukrFiyjVh2jOWOzeWODQQJUn+8oMlX1Krk8cC0xDxdIUwhBQG43UM5YOmoquqlg6KKiM1XyqfkAQRnihIJUw2Nxis7U1QzbRqHTvytk0ZyzaMtaaBPvS/GSwKEmSdJ4SQvDx7x/mL//9IELAQNml7kdz7k1c6hLgxIg9U5/+w9k2NAxd5amBMm4Y40cxGcsglzToyNlU3GDZBSRBGNFbchiqOliGSt4+HbC2ZFQGyy4nRmrs7y3SkT0dQGxqSU3uXyw5AQ8eG+X+o6P8/Ogo+3vLXDllWf6HTw3xO595iJa0xc6ODDvaM+zsyHBZR4ZNLSu3VD1f0D1h6rJ9ytTmDCzDuPEZHh0uc2y4xtaWFM0Za85MY8kJ+PmREY6N1HD9iBNjdfpLHnEck7N18kmTgZLLE71lkoZG1tZpTllkEwaHKy5Hhmr4QUwqoZNLaIzWQypuQNLUUOKIkhcTxDFRBE4Q8aUHT2KbGhoK9SAiBsJIUHMDnAhUwNIVkqaGrikoNPpmekGIG8TEQBRBNF4lYajwwFGwdA1LU1BVlZSpsqE5zTM2F7iqK0uMQhhGKKpK3tYxDJ3OrIVlGjIbeY7JYFGSJOk8FEYx/+OLj/K1vb0AvPamjfzJS6/AmCOTt5zlzIkRezNnWNe8iLofUg9ioigmbRkYukpv0eHEaJ3LO7PLnkDjR4KSExCGkE+d/nHkhhGlus9ozaPiRtx/ZIxMwmRnZ3bW+8nZBr9weTu/cHljjKwXRtP6Lh4fqaEojdGLP37a48dPD097/T+8fg/P29l47cH+Cg+fGKM9a9GWSdCWtWhOWWgLWOqfL+ieMHXZvuYzK7CseiGHh6o4fmO0YhjHaKpKX9FhqOKxsTmFokBHNkHS1Hiit8SPnxqir+RScQOGKj5uGOOFEUEYY2gqz9zWhB+EHBusoqgKTw3VCKOYeI6y1qakQRDHeEHUCOrmfBeNJWxdAUuHIAJ/fBdCDLihwA0bS+CqAggQ44/N5MWNB5wwQgVShkLVh/6KxwPHRtC0xujJII4bGUxNIWvptBeS7N5QYM+mJra1pWlKJ2TgeA7IYFGSJOk8E0Yxv/8vj/KNR3vRVYW7XraL37hxw5zPXew+uZkmRuxNbUEjRGOfohAK6wtJGk0zBE4QkTJ1/DgmkzDIJpb3I8TUFCxdxQ0jdK3xw94NIwbLHl4YAQr5pIFpNILUMBZnfT+WPj3T+d9u3cprbtrIUwNVDvZXeLK/zMH+CocGqgxXvWkNwf/jwAAf+LeD016vKtCUssjaOh/9tevY1d2YJvbTw8N8a18/uqpgGRqmpjBY8RoZWU3llq3NjSV14OnBKg+fGKPuh/zsyAhOENFXcrB0DT+MedXubtwgxvFDTow6fOeJ/sZ87DjGDWKmxnZ/85rr2dWV5bFTRQYqHvc+OTjvvdjfW0IIqLoRQQx+OP/+0pITIMTcgd1MoYA4mP3cqdcZLaLPykSgaZsKQSTwIhBETHyS0fjRRx2fE0WfR04U+fLDJ+nOJbmqO8d1G/Ksb07SnrXJJc3JfZrSypHBoiRJ0nnmPV97gm882ouhKXzi1bt5/hXtcz5vsfvk5jJ1xN7R4WqjslnAYNkjjGMKKZOtLSlUTSGKBNr4EmPdi5ZdCW3oGl35JL1Fl5GqRy5hMFbzqPkhuqZg6RpJUyNj6XQVbEr1YEnznpOmzjXr81yzPj/t6zUvnJZN7cwleN7ONgbKLoMVj5GqRywaWcnhqocbRhTrPnU/4puP9fHZn5+Y95xbWlOTweITvSU+87Pj8z73hi1NWKpKJmHghVUGK96s5yhAwtR4+PgYAyWX/T0lUqbGFZ3ZRjYxamQF3SAmEoI4FgxXg/GMZyPT2J42UBSBHwoUReAFMX7UCPLCeHqwdzZLL2uaWyAg8gRTP9XGPxdmn9ePYKASMlAp89ipMl9++BTNGYttrSnydmNv7aamFLdsa2ZbexZNk702l0sGi5IkSeeZl13bxTcf6+UD//WaeQNFWNw+ubMFdZqqMlL1ODxYHV8GDrhyXY6trenTrx1P6EWxoByHy6qEhkZWc1tbip5inbF6QNWLGKn6mIZGzjIQNPbBtWYtbENDTSorOu955t7PV1y3jldct27y91EsGKl6HB2pcXiwykjZ49SYQ8+YQyQEL7mqA01VJ6fFBJEgHm9dnNA1olgQRI1AbVd3lrSlk0sYmLpKyQmo+REt6UYmrJFJFORtg2dtbUFRBIamjEdwgpGqT3MmgRM09nlWvUbRzu6NOQbKPj1jNcpOgBCChAZOHBPF4EeN/woRE4nGPzCCWCBEI0A8n8x1OWcLYEOgFgicUZfeMbfxHmnsoUybsKGQ4trNBXavK7Bnc4GuQkoWzyyBDBYlSZLOMzdtaeZH73zeWfcbLmaf3HymLmNf2Z0jEoLRqs++U0X8YO7XrUQlNDSympta0gyUPfb3lnD8iFzSIJsw8MIYIQSd+RSduSQKyoq061kMTW0sk1fcENvQsEyNciVAxIKuvM3m5hTb2tK0pC0URaGv5JCxdZKGxlgtYLjqoamwoz3NZR3pac3Nq17I4cEqPUWHKBK4fsjJ0RqDZQ9BTBzH1LyYuh9R9UJEDJmkgetHIAQx0F/2MNTG0n3NaxQ3pS2Nmh/hR2BrCgKFUAjCCDjDfRvfYrhg8z1fGf819Uyasrhl6cUSNLKQE+fQxn9f8mHfQI19AzXu4RSFlM7u9QX2bCnQlU+yvS3Nlta0zDwugAwWJUmS1pgQgr/894P88jXdXNbRCCgWUqU7X3HKhLMFdfMtY6cKOn4Yc2igSn95vMfilAXBlRyll7MNbtzSTCZh8OjJMfrLLiUnoClpsqk1xeaW05nNlQpSF6pY9/negQGODtfJ2QYDZY++Yh1D11CBE47PcMVjZ2eGznySQtKk5oWNZfI2hTCK8cKY/T0l0onpn2fa0tnalkbXFPpLDr0lhxNDdepRRNnxiaJGsKprUHUDEqbOQLFOEAlyCZ2kptJTdVDVRrsbIQQCQdFpZDgjAYE7d5nKxN2bGdAJMV9hy2wzYz9NaezvVJVGTDpRRGMpZz+mQqNoRlEaBTMTwd5SzfXaEBiqhfzbgSH+/cAQaVMha+tsaklx22XtPGdHqwwcz0AGi5IkSWvsY//5NB/7z8N84YGT/Ocf3EYmsbB2LnMVp0x1tqBuvmVsRVHoyNmM1X2ODNVoSpnkEua0UXoTldArMbUjZxvctKWJK7syPHB0jMGKy+bWFElTX7Ug9WwaLXnGODpcpzVtkbJ0BsoOx0bqJEyNDYUkbdkENS+ip+hS92M2taQIY0EUC/LJxmdYrPtEgjmzvylLY0OTTbHuEUWCWBHUnBBL0wgROGHESDUEFQxVIYwVBisuTmAQRTF+FFH1Ylw/puwFcyYO9fFG3ZE4HZDFceO/QpwO+gSgqUB85kBt4l3oKgTj+xw1IKE1jjmRjLZ1MHQVPxSosThj2lIBDL1xXRPHH7+UVREDVV9Q9gNOlYr8/HCRT/34CJd3ZPnFqzt55rZW2rMJuVw9hQwWJUmS1tC9+wf4y38/BMDbnr9jwYEinC5OqbghfSVnzvnIZ2pvc6Zl7LSls6M9y4G+MhUnIAhnj9JbiQkkU99L1jbZs7mJx3tKlJ0QTVEX9X5WykTGteIG5OxGw+iJoh5Tb7R0qQchtmUSxTGWoTLm+Oij0J5NTGY+hRB4YYwbNPaA5pPG5LVXvcZnNlRyOdBfob/kYmoqKOBFMY4XEdFYblbjRjFOOmEQB4IqAQPlRqHNzBjMUBUUBSxNwdAaS/cjtaAR0BkKfgQRs4O3iT6JYSzww+kBowJoWiMoVBVImiq2qVP3IxQEmqqiayqq0gjx8gmLTS1Jik7AU4MVal6EBQhifL8RrJkaWIZKEAuiSAAKpqGgKDF+2DiPOHOMOXltS1nhnhqIBkBfOWCgPMLPj46yvT3Fld0FrurOcWVXlss7Muj6pR0uXdrvXpIkaQ09NVDh97+wF4DfvHkjr71p46KPkbMNdnXnZgVtC5mPPN8ythhvk+OHEV2FBNdvKJAwtGmZw+W27FmN97NSJjKuzSmLUj0giOLxwC+iKWVScUNKtYC6F1FxQ/wwQtc0To7WeNGuTlKmNhlIj1Q9+soOBwcqbGlJ0TGeAZ7oqVgPGm2DgkhQdAKKdR9TU1FU0GIFXRFU/RgCqAUxfiimBUeKAmlTI5PQSVs6SVOjp+gQC4E+MbN5/HlV//QrNaVR4KOpgqoboaogFAVTVxFEEI5XYFsKlqqiKCoxMZau05xuNMVuzyZ57mWtbGqxqbqNKuycrTdaL5V9Km7IWM2jt+jgBBGxAFURCKHQkjHpzCZww4gTw3VGnQB/PEjurzS+h2puiBuKeTOMyvj7CFdoP6SmgBMIHjtV5fFTVb5unaIlZbG9Pc2vPGMDN21tvWR7OspgUZIkaQ2U6gFv/OcHqXohN25u4j2/dMWSj5WzDa7qzi16OXiuZeyJjFe5HjBU9WhNWwyUXTZN2Tu4Ei17VuP9LMVcy+gTGdeWdGNizVDFJ2lpxEAhZVLzI06M1kBAxtIZrQqcICRGobfocKrocGKkPhlIX9GZm+ztOFr3MFWNshtgaBqaqjSWatVGkB7H4CkxcQx1LySMT2fBoilRka42lpWTpkZb1qY5ZVIPIgSCnG0wWHLxFdAUBVtvZBtrwXj2N2nQlDQJhSCIYzJWRD5pglCJRYwx3rZIUcAc38OnKtCcMdjcnCGXNOjM2VzemaUzb8/6XGbeU1tXGK4FuEFEwtBoSRk4oZj1uOOHjb2OImZ/b5kn+8scHapydKjOSMWlGka44/0ddUBVV7aiO5rSZ1IF3EDQX3IZKLs8dHSU6zc184zNTdy6vZkdHblLaplaBouSJEnnWBjFvOWehzk2Uqc7b/PxV18/52SWxVAUZdHtZGYuYxuaysmxOhWnMamjPZdgQyHZmDnsRZPZwpVs2bOS72ex5ltGb0lb6Goj29eRs6l5EWN1nzgSqFpjTGHVDUmajfY4FS+c3Fm590QR149Z32TTlW80/E4YGpd3ZsknHQ72VyjVfTa1pGhJGxTrCrqmkDR1Bisuqgp1PyaI4nkDIY1GMKOpoOsqbhATCkE2oVOqBwyUPSp+jAKsLyTI23qjQjoQ6IZCc9IiaaqoaqOR+HWbm/idW7fgRI1imrSl05FLADBQ8YnimPz4cnwsOGvwPtdn156dvs80PWPb6czHN7dmuO3yDoIwGl/G9zg6Uuf+o6M8fKxRCOUE0XgbIEEYNopYliOe8f91pVGoE8dQD2PuPTDET58e5tP3Gdy8pYVfu2EDOzuzl0QTcBksSpJ0UVuJAoyVVvMjvCDGNjT+9jd3TzZvXgsTy77Hhqs8fHyM4apPa9qanAE98UN/arZwJVr2LNVKfZ5nWkYvOwGmoTYKanI2W9vS9BbrjFQ9jg3X6Ss6FGydQsoERSFjGQRRRNo0qHghPz08RGd+/bTzpS2dbW1pErrK3pNFdrRnSJoaJadMR9biyGCVsXpA3W/c2zPeAwAFNFUjigSKAWNVn96yR9U7HTJtaU2xLp+gM5+gv+wRRTEpq7GMH0YxFS+iK2/zij3r2dCanfNcueTafG9OBpzj33+d+SQ7uwq8aFcXpbrH/t4KIzUPMd6A/METY/z4qWH6iy7uCnzbTTT/nrweGvfdjwUDJZ+vP9rLA8dGuKo7z67uLDdvaeGqdbmLtppaBouSJF20VrIAYyXlbIPP3nEjT/aVubIrt2bXMfV6trSm6S26bGxOkbJ0bGN6EDY1W7jclj1LtVKf50KW0TMJg6SpTWZc41iQNnQOuWVG6h5ZyyAiIGPpeIFHPmWStnV0XeHx3jpHh6vkbQNdVxv3cvx/hZSJPX7PIiHoLbncd3iYJ/sq02Y2zyzcmPj9xN3WFMYD3EaTbm+8yaCqNPo6/uJVndywqcDeUyVyCYNnJXSeHqoyWHJxghjN0unIqTznsjZ2b2ha0uexFhRFIZ9KcMv2xOTXhBA8f1cXjuuxr6fM/UdH+OnhUY4O16j58Vnb8EwfKzi3ic8iFpA0FWq+4OSYR29xgB8cGuKff3qcq9ZnueOZW3jG5pY1/wfpSpPBoiRJF6XVKsBYDj+MJ7Nxpq7OGj+3lqJYYGgqzWkLdY4fdFOzhTnbmD1PerwoJooEw1WPTS3JFW1xs5Kf50KW0WteyI6ODMdH6o25zl6Iaah052xGKj5uJFDDmFAXKAoUawFxLKj7IaV6wM8Oj+CFguakSXZ8j1/a0lEVsE2dR08W+fHTwzxysjgZJCo0ClGU8SpgHYjHo8R44vHx50QCwligCCYDxda0yQ2bC+RsE9vQ6S/7XLM+TxQJ6n7EzVuaqXmNaTNOGNGVS3DVusIFH9hMZCHTls7zcimed0UnURTx9ECZHz89zMG+KgMVh96iQ3/Fo+adLppRaCznT02Cmwr48yR3QwE1//TrYwGuH+P4Pt99YpgHjwzz/Cu6eMnVnexoz140LXhksChJ0kVntQswFnMdE0umiqJwxz89wK7uHO980c45M3JraTHZwrn2Oo5UPUarPiU3IGXqtGQsym64IgH5Sn+eC11Gtw2VpKmyvmDTnDY5PlJHoVE93Fd2sTQFbbybdc0LG5XFXoSlqThBTMVtNBcfqXrU/YiOXIK9x0f53qEhnuytTGarNAVsU8VQwA1jhIAgOp1JjJXTBR0TLQsVGj0UE6ZBQEDa1NjRkWFjU5LWjM1gxcM2VZ7b0QqKMpmRjQVkEgabMqlzVl2+FjRN47KuApd1FRBCUPVCxqouJ0brPHKyyE8ODfLUUI2yFxGNpxSnZnPP1Bh85t5GTWn88mMYdeCLD/Xy3f2DdOYTXLs+xy9e3cVNm5sv6CVqGSxKknTRORcFGGczc8n0O0/088CxMfb3lvntZ25mfVNyVc67VItt8D2x13F/b3ky85a1Dba2pWlKmlTdkMd7SiuSwV2Jz3Nq4O6FMZrKWQNjPxKM1QI6czYxAj+Iac0kKBdCest1agHUqj6WpmLoCsdGPExNZV3BRlMVxqo+mYTOxqYUB/pL/NN9Rzk8VJvMJGoTca2AMIxRdQ1T14jiuDGFBTDURr9BTVXQVagHglhAQm8UYCRMjS0pg6Sps75gk0+aKMCm5iRpS0fTVNKWfs6qy89HiqKQSRhkEgYbWjI8a0c7v3vbNh49Oca9+wd4pKfEcMljuOpRcSNC0Wgq7oRMy0DOt5M0ENMfFMCoEzLqVDnQV+Ubj/awvS3L7Xu6edX16zGMCy9Al8GiJEkXnbUswIDZS6anxup85ZEeAF5900aySwieVrtQZykNvrMJfTLz1pK20FRl2l7HlcrgLvfznBm4awqMOT4lJ2Rra3rW8ycCY0OFihegawpeGBPGMRndoCObIGkY9Jcc/PHrqjghw3WflNloh9OUNEloCgf6K/zw4DCP95WJxqPEhK6SSaggwA8Fjt/oQRhE0WQ7HUMXuCGgKFiKwBeCqn/6GpOmjj3eV7EtY9ORtbh5WyuFpIGmKpiaykjNn7wn56K6/EKiaRrXb2rhuo3NVNyAvmKdYyMOPzg4wA8PDVF2QiZCRRXQtUbAGMWL6+sYAWUPHjpZZu/JMv9033H+8EU7ed7lnavwrlaP/M6RJOmis1YFGDB7ydQPYz783aeIYsFNW5rYvSG/6ADqXBXqLLYhds2PJjNvc93nlcrgLufznG+vY8kNGCi7AHTnbXRVoeKGjNQ8MgmDnG1waLDK0aEaJ7XGDOaRijc+vSViXSGJoghOjjkEYSNbmdAVUobWOEcQcv/xCsPVgPEthSQNle6CjRvENKcM+ooOiiLQdQVVAQUVQ1XQVBVT1whrAWEkCMfb+EBj6bklpdOUsnD9mIJt0ZazuKIrx/rC6Z6HbhCd0znaF6qJyUFZ2+SyzjwvuLKDJ3uKfGNfHw8fH+PJvjJ1r9HsUh3fKzr52vH/LjR2jIAnB+rcec8jvHL3EL/6jA10F5JkEsZ5n+WVwaIkSRed5c5MXo6ZS6af+dlxjo/WydsGb3nudixdXVQAda4LdRbTEPtcZXCX+nmeaa/j1tZM4znEDJYd+koedT8kaWmEseAHB4dIWxpt2QQlJyBn6/SXHB7rKWHpKoWUjh9ZlJ0AN4gxdQUTHU1X6C+5jNYCgvFMYtJUactY6EDFCUgm9EZvxFjghjG6CpFQsLRGLqvJNlAUFT+IKXsRImoU0bRnTLpzFh25FIrSKMzIJAwu68iyuSU97TM6l3O0LyaKonDFugI7u3IMVX1+dmSILz1wkgO9ZSp+jJioPqKxr1HQ+MwWM0Sm7As+/dOTfGtfLzs7c/zS1V284IoO8qm1a6F1NjJYlCTporPcmcnLMTWA2neqyNf2Npaf3/q8beRsgygWCw6g1qpQZ6FLliuRwV3I8vpSP8+z7XXsytmcGK1RDUJSlsa29jQ5W+dAf4Xeokt33qYjlyCMBEMVH11TGSg7jNUDkrqGpinEojG9xdA0vCikf8Sb1sYmnzRYn08QRIKUpTM2VKXuhsSmim1quH5EPP6tIMbvWSigYGtEWJSG6rRnLN747M20Zy1Gqh49JQ9LV9nQlMSPYtKWjq4qRLE453O0L1aqqtKeTfCya9fzkl2d3H90jJ8fGeFAf2OyTG/RIxKNJeqlzqcerEYMPzXKIydG+dJDJ3nldd08Y3MLm5qT510xjAwWJUm6KK3VjOGpAVTVj0iaGs/c1sINm5uBxS2Bnw+FOmey3AzuYpbXl/J5ninzWXEDjgxWeOhEkbSls6U1xWjNJxYCz4/Z2Jyk7IRU3ID2rEVPsTHZJmcZ9Bc9FAVSamOCCwKGqz7VKV2cE7pCc8oik9BxghhdU9BUBVVtBLkZzURVYhKWRt2LUBSI4xhFgda0QWchyfNa0hwdrfOya7uI40arnI3NBpd35+jMJWlKmYRRzInR+prN0b4U6LrOLdtbuXlbC1Uv5EBfmc/cd5QfHhqk7M0/u3ohYqDiwf3HSjx2ssTmliS3bGvmlbs3cGVXfoXewfLJYFGSpIvWuZwxPGFqAHXzlma2/fr1pKzTwdJilgfXulDnbJaTwV3K8vpiP8/5Mp8DZZeHjo/SM+YwWvWwW1KM1HyqXsRwxcOPYjK2QdbWKdZ9nCCikDRoSVk80VMkmVDJJUxSlkZf2WOgGkxOXbF0lYSukEvooIAfxbSlTZIJgzCMMDRB1RckdIU4VnE0jUCLMTWVehATRYLNLUmu2dBM0tR4zuVtXNmZpR7E877niRGMl2Kl87k0UVX9jM3N7N5Y4EdPDfH5nx1nX0+R4WowbY73UrgRHB6qM1TxefRkmbf8wnaes6PtvPgsZbAoSdJF7VxXgc4XQLlBtOjlwbUs1FmopWT8lrO8vpjPc2bmUwjBUMXjJ08NMVrzsQyFQsakkDSo+xGRAC+M8YOIlpSJoWmMBBGOH2ObGqfG6hTdkI5sEk2Fx3rK9JUaRTKaqtCZtUjojT6UCUMjiGIE0N1kYxs6bhjRX/ao+42elDnbIGfrJC2NkhPiBCECGKqFNKdM0gmDDU0pVFUlbc3/GctK53NPVVWec1k7z9rWwuM9Zb71WC///uQAAyWH+hKHVKs0qq3rQcSBvjIf/PaT+EHEjVtb1zxLLL+7JEmSVpAQgvd+/Qluu6yVzS2pZS0PrmWhzmIsNuO32OX1mfsak4Y6mWnT1MY5oljMOu/UwP3wUAXHj3iyr8xTAxVsSyOjmKQMA1VRyds6RccnaWrECIZrPi1pCwWFmJiSE+MGjebqdT/k4RNF3LCRR0pbGmlTI5vQsTSVehAyVHGxdA3L0HB9QcpS2dpq0z/m0ZoxiSJB2QuxVB3H8Rge74uzpSXFS6/uoqtgy6XkC4CmaVyzocDV6/O8/PpuvvlYH//x5ACHBmpnHTM402SDb8A0NAbKHl9/tA9QuHFry5p+L8hgUZIkaQV95eEe/t8jPfzb4/388B23saU1veTlwYUu8wJUvXBNlyEXk91azPL6zH2NbhjhhxGWphEIwVjVAxSa0yaZhE7S1OnMJ2hKWaRMjZxtsKE5yZGhKqfGHIp1H9vQJjOHXhAzUvfoyNgkTR03CLFNHVNTOT5SpyNnUXNjhqsedS9gf2+ZvvGWO80pk+1tqUaAGEa4XkjFC1EUMHQVXVNIJzQqro+iCFRFsLU9xaaWNNtakwxVfb76SC+P9pQAePb2Ft707C1cvSFP2tLPi+VHaWEUReHyrjyXdWR5zc2beODoMJ/60VGe6KkQzPF8lbmXrGMBbiSwDIGmatT8kEODVTryCa7qzq/Z94QMFiVJklZIqR7w/m89CcDv/cJ2WjOJZR/zbMu8APt6Sqveg3ElLXR5ve5HHB2uTe5r9MeLOYYqHmlTI1YaU1UURcELI0xdZaweYKoqW1pTrG9OsqEpyVjNpy1j0ZW3eeSESsUNyCR0TE1joOziBTGjdY+U2Whpk7YgaxvYpkZT0qDkBBzoL7O/r0Ldj1CAGzc3ccPmJo4NV4kRrLNsjo7UUNSQ5pSFH4YMVn3K9YCEphLG0Jyy+IXL2xirhxTrPv/y4Cl+dmQUgFdd380rrutm17o8mcT5+blJZ6eqKh05m5deu55fvKqLnzw1yGd+dpxHTpYo1cPGtBfmr54WQBDDSD2iJaNhGxphFNNTdNnSujaFbCCDRUmSpBXzl/9+kJGaz7a2NG941uYVO+58y7zl8ZF656oH40pZyPJ6R85iqOJO7msUCE6O1YnimO6Czc+PDOMGMeubbMIYDvZXaMkY7OrKU3ZDql5IX9FhsOzhhhHtmQQxguaUAQiKTkAmASlLIxIxmqJQdHyK9YD1TUmu6MqwsSlFzQ/50sM9PHi8CDSyibdsbSZn64zVfZoyCVw/oq/sEKNQSJq4YUzdj7B1jaSt05W1uW5Dgc5cgg3NaboLgoePj3Kwv4KuKtzxrM285JpOuex8kdE0jVt3dvKsHe3c9/QIn/v5MX5+dITRejQtWFQ4PSUmiBvZRVWBnNX4c6JpCt74tou1IoNFSZKkccsZqbfvVInP/vw4AO972a55l1iXauYy71r1YFwJC1leb0knONRfmdzX6AQR5XqArqocHa5S8yIsQyNhaAxXfbwwZqwW4vgROdvA8SM2taToLTqM1DzWFWxUpTEZZazWCApPjtYJo4ggEnTlbep+RHfe5jk7WrisI8uPnx7mf/zLowxWPAC6cgl2dqQRCKpuRC6p0ZwyqSg+YcpAVH0MXUNVYtozGVrSBglTp7/kcnKsTjqhE0Yx+aTJbZe18anXP4ORqsfNW1tkBfNFTFVVnrWjlZu3NvHTI8Pc87MT3H9ilGItJIwb2URVbUznMXUVVWlU1XcVUuRtE1NVsQx1TQvZZLAoSZLE8kbqRbHgf351H0LAy67t4uatzat+ved7D8azOdvyuhBi2r7GKBKEcUzVD3H9iHRCQ9BYyg7CmJaMyVjNZ6jqsdU2CIUgigXNKYuTo3VKToCpadT9RsWxqavgQc2P8cOo8bqWNNvbMwxVfb72nYN88geHiUUjE3rd+lxjBF8cY2kq7VmbdEInl9DpzCaouj5P9JdBQHsmiaErKOMD4TpyNv1jDsesOoVTRW4db4dy/YbCGn4C0rmmaRrP2t7OLVtb2XtijK/u7eGnTw/TU3QIosYowYSmkEuadOQSbGtLY+kaiqrQvcaFbOff3yCSJEnn2HJH6n3vwCCPniqRsXT++BcvPyfXfL73YJzLzMxtNqHPW0Vd9cJp+xo1TSEUUKqFpC2DshMgFBAoxAh0FGxTx/Eial6IrjSaYNuGRtLUGal4MJ65u6Irx/7eEoarkEsYpMwEhaTJZe0Z1uVt/uJbT/JEXwWADU02N29uprNgU3NDBsoOIzUf29QJo4goimnLmvQUXcr1EFVRaE0LFE5/Lrqq4EYR//LAKT72vcP83ev28JwdrWvyGUhrT1VVrt/UzLUbCjw9WOVHh/r5z4PDDFV8EoZCVyFJVz5JytSJhWBTc4qNzek1zTzLYFGSpEvaSiznPv/yNj79W8+g5AS0ZZdf1LIQCy0S0VRlzSul4eyZ24lAsuQEk+1xpu5rtA2NtKVz2A/pTiYm4j4SuoKKQtWLyNs6qtY41/qmJLah4YUxnbkEAjg4UKE1ZeKHESIW5G1jspehbao82VfhA/9+iJIToCpweUeadfkkAoEfxqQTOqbeWNp2gpDmlI0XxeRSFvlkwFjNp+JFHB6qsqEpScrSCWPBcNXl58fGGKp4ZBI6haTclyg1gsYdHVm2t2d40VXrePj4KIcHa7hhhKlrNKUMLuvIcUVXds33sspgUZKkS9pKLOcqisJtl7Wt5mXOspAikYytc2SoylgtWNNK6bNlbjc0NyqWZwaShaTBYMXj6cEKTWmT9oyFriocG6mRS5poqkLJCXHDmCiOsQyNmhfRldfoyNkoisJY3WdDS5KspXGov8yhoQqlesBYPaAlZZE0NSxd4UdPDfOtx/sBKCQNNjTZXNWVZawe4gQRp8bqmOPZWi+M6Ct6hFHMukIKXVHJJ000TWVDk8VA2WG44hGJGBHDfx4cYqjiYRsaf/ube7h6Xf6c3Xvp/KcoCt2FJF15m6oXUnYazXaytnHetFCSwaIkSZe05SznFus+QkAhNXeguZrOViQCUHFCKs7aVkqfLXN7eKjC0eEqrWmLppQ1eZ1HhmpU3ICErlJyQk6O1rFNjdasRcVRacskiGLRyOZmLOp+xGDZY1trip3tWXRVoa/kkLJ08kmTp/or9Iw5uFFjGksuEZOzdUpuyLd/coyjwzUAdnVlecGVbTx4tIimqRi6CgIGKi6GptCRswnCmKoX0l/yKLkhhqbSkjFJWjpj9YDOnI0TxDSlTL70UA8DZY+EofK/Xn4lN21uWvV7Ll2YJsYJno+tk2SwKEnSJW05I/X+6t5DfOXhHv7sZVfyyuvXnYvLnWa+IpGOnEXNi6m4wZpXSp8pcyuEwA1iBsoe29szk/c/jAVVL6S36LKpOcnujXkqbsRIzaM9m8DUFPxIkLZ0LF2l7AWcGnXwo4iNhSRu2PgHQGc+QT5pcny4xlODFWxLJ6sppCyd46MRh4drPNFbZqzeWHZ+5pZmfvHqToarLk1pkzBqzHA+PuoQxgJNBS8I6Su7qApkbJ2ErlL3AkYQjQIEAaN1nyCMeeTEGMdG6hiawrtevJPnX9FxXmSJJGmxZLAoSdIlbakj9Y4N1/jcz08QxoKOc7RPcS5z9WAUQvDQsbHzolL6TJlbJ2gUo9iGRhQJMEAg6Cs5OH7IxuYkjh/hR4JCyqSQMukrOWQSBklT5eSYw+HhKo4XYZsaHZkEtmnQXUjQXUiSMjUe7y035kBrGltb0wxWPep+hOtH/PTIKFEssA2Vm7Y2c1lbhoobkE9a7OoyeLKvTMlp7EUUQqAoCsV6QBQJsgkdQ9MwVIUTow6tWQs/jGlOG7RnUozWfY6O1FEUeOeLLuMV161b831nkrRUMliUJOmSttCRejMzQn/57wcJY8FzdrRyy7aWNbr6hpk9GIt1/7yplD5T5jaKBV4Yk9BVNK1xfyf6KWYSBoaqUhUhUXy6hXEhaVLzQjY02QxVfFpSFolcYyzacM3nyHCdAwM6128osLE5yWjVJ23pDFa88c9W4at7e3nw+BgAaVPj2vVZbF2h4vrkUho524RExIEBqLoBqqqgiMa11X1oShu0ZS28MEZTVDRVIWVqGJpKb9EjSAtu3trC7zxnK0/0VXj2thaZUZQuaDJYlCTpkne2nn8zM0KPnizyr4/1oSjwrhfvXKOrnt9yltZX2pkyt5qq4AQRTWkDe/w6o0gQCjEZsE+0wJkw8fVjIzViIejI2RwerFIfb8bdkrboLzns6ylScjz8UNCasdAVhbof8sUHT/HY+CzmK7syXNOdI580OTZSo6/oMlTxOWRWGa0HRLEgk9Bxw4hYwLpMkqShTe4pC6OASAiEgOGqhxvE9BQdvCCiv+ywWy1w63bZIke68MlgUZIkiflH6s3MCAkh+ItvHwDgFdd1c3lndi0u94zOFKBNLPO2pi2EEJPLq6vlTJnbYr0xszmh65MNrDVNQVcUgiim7IS0ZszJQBIagW4oBGUnpDll0lN0qPsRrRlr8jnNaQvXjyi7IXU3oj1joarwNz84TE/RRVHg+TvbuawjQ8UJ6CnViWJImBogGK37DFV8LFMjbWkUUiauH9OVszF1BV3V6C06dOZsBssuZTfEC0KcQLCvp0zVa0yPeeD4GM/Y1CSXn6ULngwWJUmSxs1czp3LDw4N8dMjI5i6yv94wWXn6MoWZ74Abazu89RAhTBqLOs+dGzsnLTSmS9z21WwuaI7x4mR+uR1mpqKZaocH6nTnbcnW+BMGKv75BMGVS8kEoJSPSBrT//MdFUlFI1gsubWeeRkkb//8VGGqz6mpvDCKzvY2ppmqOJRdnz8MKYpY5E2dY6P1FBQyCQ0IgHDNZ/ufILuvIHjRcSoIHzcKMIPQ5KWhmVoRLHgviMDhLGg4gbU/JDBknvejlyUpMWQwaIkSdIiHOyvoKkKr79lE9352QUx54uZAVrRDegZczA1hSu6shRS5jltpXOmzG02YUwLJDMJg+6CIG1p6KpCFItpe0g3tqQ41F/B8aPJJeupwrixfJ00dfpKHv/002N4YUxL2uTWbc1kbJNTYw66Cmlbxw8FcSToLToMVlya0xZKyHiGU1DxQpKWgaaBGzQaetf9CF1TiRG4QcB9R0bxwpicbfDCKztwg4iSG3BiuM7mlvR5OXJRkhZKfvdKkiQtwu88ZyvPv6Kd5jXorbhYEwFa1Qt57FQRFdjUfLpY50ytdGaO5luJyS/zZW7nCiTDKObEaJ2RqkfVC1GAtqzNZe1psrbBcNXj2HBtcsna0k8vVVfcgJaMxXee6OeffnocIWBjc5L/srONsuNjaird7QkKSYsjQxWOjNQxVQVFAUtXSegKA+UYP4wpJHVMTSNlagSRilAi1udtNjTbOH5Eb9nj8GCFsXqAriq87JouNFWhu2CjKNBXdgnCCGSwKF3A5HevJEnSIm1tTa/1JSyYoigoikIQCjpnLOlOmNlK52yj+VbrOucKJOt+SM2LAKi5AcdH62xsTrGxOUXZCegvu9SqIe1ZmzBu9JZMGBrfPzjE1/b2AnDbjlbe8tytDJY9fnR4iL6SQ9bWGal5nByrU/dC8nmbihtgmzrueGuckhNQdkMK483CNRWGKh4pS+Pl13Vx/7ExHjlxnGMjDgDP29mGrilYhkZzyiKKBcW6jx+JWe9Lki4kMliUJOmCshoZr4XYe7JIytTY3p5Z9XOttIleh4bWqAiOYoGmKthG495NbaVzttF852ryS8kJeKK3TM0LG42457iOq9blUVWFvceLHB2ukksYFNIG33qsn/88NATAL13Vya/fsJ6yGzJS9+nKJTkRVukvO7SmE1TcRq/HvpJDayaBoWn0lRxyCYMoFtS8EF1VcMOYmhuyrTVFeyZBUzrBlV1Z9vdXALiyK8umpiRpW6c5ZZE0dQYrDklLw9TkfkXpwiaDRUmSLhhrkfGCRoD6P7+6jyd6y3z4V6/lZdd2r9q5VoOuqXhBxIH+Cu74Pj9dUcglDTpydqONjtpoUXN0eP7RfOdq8svZRgROvY6btzSzqTnF0aEqp4oO//zT4+zrKQPwi7s62LOxwP6+MkNll0AIuvNJ8kmLEyM1RmoBNS/ADyNqHnRkIZHQoATDNQ9dVWjLWmxty6Ap0JVLsLM925gQE8Wsb0rxu7dt4VuPD/D8nW0U0iZpUyeMBcNVF0PTaMtaGPrs9kWSdCGRwaIkSReEtcx4fe/AII/3lEmaGs++APvmRVHMaN2nt+iysTk52bpmqOJT8yLSCY2tbY2l9ZGKR0LXqLjBtOwjLHzyy9myv2d7/EwjAieuY7jiMVjxsMYbjwsEf/vDIxweqqGrCjdtLrC5JUUMaAr4kcDxIx49WcTUGk3AE4aGbepoqoKg0SQ8CiJ0RcE0NdKWgW1p2KZGe8aaDKzDWExe93N3trOxOU0sBOV6QNEJ0BWFloyFgsLG5uSs6T+SdKGRwaIkSee9xWSaFpPxWsiSthCCj/7HUwC89uaNNF0AhS1TCSE4PlofrzBWqLiN6Si6qpK19UaLmkKC9YUkY3Wfw0M1VBViwbTsY9rSFzT55WzZ34Vkh880IhDAD2OeHqpS8yJiITjYV+FLD59ioOKRNDVefm0nx0fqHOgv05RqNOSueAGa2giGVVUlYaqsKySxdJUxx6dUD0mYGjdsKjBcbbS+UYBCymRbW5qkoaMoCn0lh6PDNboLNtvbM5MtiqpuQHPaREMhQuD6EemEMef0H0m60MhgUZKk895CMk2LnXW80CXtHxwa4tFTJWxD443P3rIi7+dcmrh33XmbMG405C7XA0IRoisKG1ts0pZB3Y84NFCl5Aa0pi1Slj4t+7i1LT25XD3f5Je5sr9eGHFsuEZf0WFTS4qhSmM285myw2eaQFP1Qg4OVCg7ITtadQ4PV7nnwZOM1hpj/d763G0cGa4iBAxUPIIwxtQUTpVcwjDGMFQcP2ZbWwpdUymkLJwgxjcaxTEjtYC2jMnBfh9dU+jOJ0noOl7YaN1TcgL+6t5D/NV3D/GV//5MrujKTmtR5MbxZA/Juab/SNKFSAaLkiSd986WaVrsrOOFLmkLIfjIeFbxNTdtoCVtneXI55+p9y6hKGxrS+MEEVEk0DQFU1MZrngcHa4SRTGbW1KMVD0yCQNTU8kkdAbLHppapZA06G6ae1l1ruxvdbxwpFwPGKy4PHRslOaMxdXrCpNB4FzZ4fkm0ExMnxksN5bTe4sOH/2Ppyk6Afmkwa/uWcdAxaGv5JK1DVRVoeZH+JpCFMeU3QA70kiaOkIoDFY82jIWaUtHV2C05vPA0VE2taTIJgwytk5tvCBIVxVaMyYf+Y+ncMOYZ25rZmdHo9hpodN/JOlCJYNFSZLOeys563gxS9o/fnqYR04UsXSVN9564WUVYfa9U1BIGjqMJ7zcIJocn9eStsjajYbTp8ZqeGGMG8TUvZCnhytc053nynX5Ofcfluo+PWPOZP/JqhdyeKiK44dkEgatGYsn+yskTJ3DQ1W2tk5vVD0zOzzXBJqS63Ogr0wsBE8P1fjCAyeoehF52+A3b9yIbaj87MgwQQwJ3cTUFE44IQBNKZOKE1HzI1qzFoWkQd0LORmGtKQSKJZOXghaswmu31AgZxuM1X00VWVHR4amlMnffP8wT/SWydkGf3n7NahTZlYvZPqPJF2o5He2JEnnvTPNOobGCLjOfGJBhQSLWdIeqwc0pUxefm03bZnEst/Hciy1ZdBC7t3E+LyJ7GNHNsGpsTpjNR/LULFNFV03sE2NEyN1sglj1v7DohNwdLjKhqYknXmb/pKL44e0pBv3LQhjBNCSsXD8kP6yw9bW9ORM6JnZ4blGBI7WXGp+CCh89ZEean5Ezta5bkOep4eqQGN/ZtrS8fyYhKESiZiOTJKUpYOAo8N1FBT8KEZVFTQFNBUqbkx3IUlTyiRrG9imjm3q9JUcSo7PYNnl499/GoD3v+KqOe+lJF2sZLAoSdJ5b75Zx1NHwC20kGAxS9q/fE0Xz7+8jSBc26bKy2kZtJB7NzE+zw9jLF2l4gY0JU02NieJ4sb4PBELtrWnKdUDTozW2FBI8vh4H8RC0sQyVQZLLv0llzHHJwgEhSnFQLEQmIqCGB/nV6oFOPmokeVk7uxwNqGzuSVFc8pECMFTgxBFRb72aC9OENGVT7B7Q566FxFEMWXHJxYKut6Y1VxygvFxfCG23qhuztoaaUunLWOhqypjdY/+kkt+/B8P+aSJPSV7XUianBp1+PNvPUks4JXXdfOSqztX8uOVpPOeDBYlSbogzJVp0lWFznxiUYUEi13STpo6rGEB9Eq0DDrbvcsmdIarjaApZxuU6gFZ25gcoTdcdWnJWNiGhppUGC571L2IqhuQT5kE41m65ozJaM2n7kaUnIDWzOk9nm4Q055L4IUxKcsgFCFRJCaXw2dmh2cGyEEU89DxEb76aC9uELO+YPPSqzsouxGmFtFbcqi4EYWkgaEqeFGEpivYukbFjRD4JHWVa7oL5FMGFTckimKGqx5hDFHU+AdCRzYxrVDK0FS+80Q/p8YcuvM2733ZlavwKUvS+U0Gi5IkXTBWopBgIcuykYi57+lhnn95+7R9aefaSrYMOtu9m8g+9hYd6kFE0tLxwmhyBF5H1kahMe2l5kcM1XyiOKav6E42+TbGs7VhLKi64eRry05IytLZ2pamv+QyUHYwVBVFaeyZnJkdnitAvu/pIf7ppycIIkFTyuDa9TlOjLm0ZxqtccJ4fFlZVRitBxiagq2qJA0NIUBVIJXQuX5jExubkxzsq3Lf4SFCMZ41VkFRFZ4erFEPYnZ150iPV4S/9OouOvM2z72sjWxCVjdLlx4ZLEqSdEFZbiHBQpZl/+8DJ/jGo3381jM38acvXbtM0kq3DJrv3gnRGP+3vskmCGNOjNYYrnokDY2WjEVH1p58XRDF1PyQkyMOWVsja5++fxU3AKAlYzJYdjk15rC+kKQ1Y072akxZOvt6ipiaQtUNMTR1WnZ4rgB5X0+Jj3zvaYJI0Jwyefm1XaA0+iuGUUze1sknTVJmRD5pUvcj6l6I48cEUdzYnxgq7OrKs7EphaEqVDyfpKmzoz1DGAv8MCKTMKn6IUeGqqRMjV3ducmM5zteeJmsbpYuWTJYlCTpknOmZVlL1/j2vn4AXr7GY/1WumXQXGYu96oIWjMWQihsa083JrhwOkgarXnEsQBFkLXNyaVqS9ew0tr4mDuVPZuaMLRG9rAjm8DUNdygkam8ojPLltY0SVObleGcGSA/PVjhf31zP24Q05lLcOv2FjRFoStvE8UKdb/RZHy42mjIvbkljRfGDFddRqs+zWmLkuOTMDQ2Nts4QUTJiai5IRtbUmxpSVP3Q04VHWp+SMrU8YOYQwMVjgxXedb2VtlYW7rkyWBRkqRL0nzLsnd/+wBhLLhxcxPXrM+v6TWuZMugucy3H7LshQyUPfqKLt15e1rmVdNUMpbOukKSshPSmpl+XZmEQU/R4dnbW9nRnubEaJ3Rqk/ZDRe0x3RqgHx0uMb//Nrj1P2IDU02r7t5E4MVj9GaT3veIm/ruEHIULUxlSWTMFFQSOgaKdOgrSNBRy7BUMUjZ+s8a3srCUNjsOxyoL9CR65RqZ00ddblbYarHjU3RFHh0ECF+46M8v1Dw/zrW5+1pPsrSRcLGSxKknTJmrksW3YDPv/zEwD8znPWvq/iSrYMmulM+yG3tjaaTQtiql5AFDMZ6OVsg0P9VQppi6NDNYYqHllbx1BVgjim5ASYqkpHziKfNMnZxqL2mE4EyEeHa7z3609Q8yK68wl+59atJE0dTVGIY0EQgaapaKoKIqIz18gKD1VcBJCydJrTFnU/pind6KuYMDTySZOaFzLzCpKmzvomDS+MKNZ9vr63F4CbtzTPGahL0qVEBouSJEnj7vn5CapeyPa2NLftaFvry5m2v7K3WMc2dBQFhAAnCJc1e/hs+yG780mqbsAVXTksXZ0M9Gp+hK7WMDV1vGDFoVQPqI6PD8zbBum8TlPKmnwPi9ljmjI1/Djmvd94gqITsKk5ya/uWY82XmgUxDGXd2XoyieJY0HJ8Tk+Uqfqho1iJCEQKGQsHQVozZiT73EiA5tJ6NimSm/RoTvfmA+tKMp4VlLnPw/0UHZD2jIW73jRZYu+t5J0sZHBoiRJEuCHMf/4k2MAvPHWLWtaBT1VzjbY0JzkgaMjHOyv4IcCU1dY32xzxQLa5kwQQlD1QspOMPn7IIrPuB8yEmDp6mQPQpid7dzaOj4+MG4UyRTrPl0Fe0nZToCBsseffX0/xXpAZy7B//zFyyk6AQNlF1NXsU2dzlySlNn48VX1Qm7e2kTdj+gveXSOLy3HAjRVwTY0+svuZAa25AQcG64hUDkxWmGo4tGasWjP2Bi6wlODFR44PgbA+16+i4ysfpYkGSxKkiQBDJRdWjImsRC87Nqutb6cSSUn4MRInZSpc82GPJqiEAmB60fTpqmc7Rj7e8sc6CtRrAeggG1qiLgRFDbPMfN6vv2Qc1WTW7o2uadxOdnO4arHq//+Z/QUHdYVbN73sitRUDB1FQUFAXTnbRKGymjdY7Tqk7ENNjWnQVGIRYmy29h/mRjfZ9lfdifb8pTdcHKP5s6ODJoiODHq0D/mMlLzaU9bfGtfP0LA8y9v44VXdiz6PUjSxUgGi5IkXVSWOhZvfVOSb7zlWfSX3ckK37U2dV9hVz45/cEkC+qzWHICfn5khCf7yuiqQvt45m201pjlXHYDbt3RRsrUFpwhXKkG6dOusx7w2k/dz+GhGp25BPe88SbWFezJz7LuRwxVXE6OOTw9VMHxGr0gTU3l+Gidjc2pszYe3zceKE7s0UwYBZrTFkPVxji/fb0l+kouGUvn/a+4atHvQZIuVjJYlCTporGcsXjQyJqdTzN/l9tnUQjBseEqx4ZrJE1tck4zQHdeRwjoK9V54OgwrZkEdT/CC2OcIKItY3FF9/xB6NRq8iCM8COBqTWaYgshFpVZdPyI3/6nB3iyr0xL2uJzd9zI+qZGcDzxvvJJSJoaQxWflpRFc5tF1tYJIjFtms18jccrbkBP0cHSVOpBiG00xv5tb8+wrmmilU6Sqhfxsmu7acuu7SxwSTqfyGBRkqSLwnLG4n1rXx/P3t6yoP1pS81cLsVy+yzW/IjekgsCMnO899aMhROE9JZcan5MzjZI6CpNaYOErp91mVtRFKJYcHLMWXKAHkQxb/78wzx0fIxsQuezd9zAltb0rOcJITgxWicWgm1tmcmvayqzptnMDJwb3xtFDvSWSScaldvZpEHneKPwpKFjaRqxgL95zfXT9mhKkiSDRUmSLgLLGYt3sL/C737uYbIJnfve/QtnrNxdbuZysZbbZzGMYrwgRlEbgeWs46sKdT8maWrcsLkJ29DQNGWyEffZlrmXO7daCMG7vryP7x0YxNJVPvX6Z7CzIzvnc5eaZZ24xpGqT3J8goyqKIxUPep+xNbWNJauEo1/noa+esG/JF2oltbJVZIk6TyymEBipk/fdwyAW7a2kDI1ql5Ise5T9ULExNxgTgcd/aVGwURrxiJl6fSXXB7vKVEarzJeSROVx2N1f87Hx+o+zRlz3spjXVOxDBURNwLLmWp+iOOF5JMmaUsnkzBIGvrkxJYz3beZAXrC0FAVZTJAr3khJ0Zr0+7hTH/x7QN8+eFTaKrCx37jep6xqWne5y4lyzr1Gjc2J8naOsMVD4GgOW3h+I2WRO/40qP89feewjSUJVdxS9LFTGYWJUm64C11ubZY9/l/j5wC4PY969jXU5oza5hN6HNmLi1dJWcb9BYdDmjwjI1NqOrK/Rt8IXOsz1R5nDI1unIJTo7UqbgBVnp6IFSqB5MVxvYcmcszLXMvdz/l3/7wMJ/84REA/uKVV/H8K9rPeC+WkmWduEZDUzk8VKNYCxiouPQUHVozFoWkyXf3D/L0UI3ekktnLimzipI0BxksSpJ0wVvqcu2/PHgSN4jZ0d5YiuwvuXMup25uSc0KjKpeONmQuh5EnBytg1DY2Zld0SXp5VQeK4rCppY0A2WPJ/vK9BbrFFImQjQCZT+M6cgmaE5ZcwZJZ1rmXs5+yi8/dIr3f+sAAO9+8U5u37P+rPdhan/HjmwCJ2jsGw0igaEpjNR8NrUkp2UGwyim6AaUnQAviCikTDIJg/6yw1DFo7/k8p+HBgF4y3O3sbklddbrkKRL0aovQ3/84x9n8+bNJBIJdu/ezY9+9KN5n9vX18dv/MZvcNlll6GqKnfeeedqX54kSReBpSzXRrHgn+47DsALruyg7kfzLqceH65Na2Bd9UIOD1YZqvgkTI2WtIWuNSaCrMaS9ETl8Z7NTezZVGDP5iZ2dS2sIXfONrhxSzM3bG4maWoMlFwGKy4pU+eW7c3ctK0Zf54CmTMtc08N0OcyX6D5w0NDvPPLjwHwxmdv5nees/Ws7wFOZ1kBfnZ0hJ8dGeG7+wf41uN9/L+9PTw1WKXmxZTdcPI1mqowVvWoOAEt6cY4wJSls6UlzbXrCzw1WMUNYra2pnjjrWs/3lGSzlermln8whe+wJ133snHP/5xnvnMZ/LJT36SF7/4xezfv58NGzbMer7nebS2tvLHf/zH/NVf/dVqXpokSReRpSzXfvfJAXqKDjnb4Oqu3BmXU4drHojGlJdGBtKh7ke0ZhrNrL0wImlodBVsSvXgrL0Pl/oeFzM2b6qcbXDTliZ2dWcnJ7hkbYO0pU82ql7sMvdS5lbv7y3zu597mDAWvPzaLt794suX9H5cP6K/6BLEMQldQ9cVErrKQNklFmJGYc3sa1cUhWI94LGeEgDveNHOOQuAJElqWNVg8f/8n//DG97wBu644w4APvzhD/Od73yHT3ziE9x9992znr9p0yY+8pGPAPAP//APq3lpkiRdZBa7XHugr4KqwKuu70ZVlTMup+qKQjKhMVb3ydkGpXpA1j7912fFDWjJWNiGhppUzrhXb60oikImYcxqD7TUZe7FBui9RYff+vT9jfF8W5r5wH+9Zt6RinO1JwI4PtIomFnXZKOoCoWkiaaCpWuMVBuFK1X3dLAexYLmtInmKAxVPLJ2o22OH0X8y4MnEQKu6s5y4+b5C2skSVrFYNH3fR566CHe9a53Tfv6C17wAu67774VO4/neXieN/n7crm8YseWJOnCMrVR9Nn6IL7t+dt51e5uolhwdKh2xv2OhqayuSXN0eEavUWHetCYHuKFERU3wDZ1OrI2CspZex+ej+a7b9BYcp/vXi400Cy7Ab/1jw8wUPbY3pbmb167e97gfL72RC1pi9Gqj23o9BVdWtPWtEk7mYRBqRbQ1Ha6sEbXVLIJg2zCYKzuU6oHVEVI1WkUuuiqwmtv3Dhv6yFJkhpWLVgcHh4miiLa26dXuLW3t9Pf379i57n77rv5sz/7sxU7niRJF7bFLNeuKyQRQlBygrMup3bmEqQsnSdVODlaZ7jqkTQ0WjIWHVl78pxn6314vpp53xbaU/JsAbofxvz3zz7EwYEKbRmLT//2DeRsY87sYckJePDYGBU3oDll0ZI2Jie09BUdvDCmKWUSCjFr2VhXVYI4wA9ian5Eqe7TmUtMLpVvbU1PG2e4Z3MT9x0e4fLurGyXI0lnseprJDP/Rb/YMVBn8+53v5u3v/3tk78vl8usX3/2yjpJki5NJSegWPcniyUWs5yasw1u2NSEgkJv0aGrYE82sJ4w1169c22hU2bme95im23PF6A3mm4/xk+eHiFlavzD659Bd96eMxA1dIWjwzUGyt7kUn8uadCRs+nM2RwdrjJa9cklDHRFIYjiaZnFihswVHYbAWEksAyVkZpPIWVScUP6y41Kd8vUCMZnTT9zW8sZWw9JktSwasFiS0sLmqbNyiIODg7OyjYuh2VZWJa1YseTJOnids/9J/jf/3aAO561mT9+yRXA4vbtqarKzs4sYSwo1QPUpLKo3oerbaEZwXmf15Tk+Gh9QdNwgDMGpR/5j6f4yiM9jabbr76eXd25OQPRsZrPT58e4VTR4YqOLIWkSRDFDFV8al7E1rY0HbkEw1WX/rKDrikMVT26842lf8cPeWqwgmWoqCh0t9g0p8zJ4HZDc5Kxmk9/0WV/X5lr1uUW1HpIkqSGVQsWTdNk9+7d3HvvvbziFa+Y/Pq9997Ly172stU6rSRJ0ryiWPCZnx5HCNjenpn22GL2Oy6n9+FqWmhG8EzPG6x4eH5EWzYx5zkmmm33lVyGq968QenX9vbw4e8+BcD/evkubrusbc6xjEIIxuo+pq5iaCpOGKHQKFppzWjj/RAdWtMWNS9irBbi+CE1L2Kk4tKRtekvO4SxoDNpkU+ZdOWS2IaOndPpKzkU6z67urJ8/+AQH/6Pp3jpNV189NeulRlFSVqgVV2Gfvvb385rX/ta9uzZw80338zf/u3fcuLECd70pjcBjSXknp4e/vmf/3nyNXv37gWgWq0yNDTE3r17MU2TK664YjUvVZKkS8B/jLfLKSQNfvmarlmPL2a/42KCy3NhofOxr+zMnvF5Tw9WGKn5dBfsacee2O+nACXHZ9+pIoqizBmUxkLwh19q9FL8b7du4ddvaLRKm2vqixNEk0vOY7WAsXpAWyYiYegIBJahcHSkxrGROlEcc2VXjrofcmrM4dSYw/7+MrqisKElxbome9r+UZgS3KY8/v5HjYkxt+1olYGiJC3CqgaLv/qrv8rIyAh33XUXfX197Nq1i29961ts3LgRaDThPnHixLTXXHfddZP//6GHHuLzn/88Gzdu5NixY6t5qZIkXQI+9/PG3ze/smf9nJXPi3WmvXrnOohc6Pi9oYx/xuc1pU1OjtYpOyGFlDltUk0oBFEkGK66bG1Lc2VXfvJ1E8Hmvp4iH/i3g/hhzPMvb+edL9o5+Zy5pr5EsSAUgrxlkEvq9BRdIgF1P2S46lF2fI6P1gGFa8Yzo915m3WFJGEU89RghbIbsGdTE2lLn7Z/FE5Pkvm7Hx6h7IZc1p7h5dd1L/1GS9IlaNULXH73d3+X3/3d353zsU9/+tOzvnamofOSJElLdWKkzg+fGgLgN26cPRRgpSx0z+BKW+j4PTeIzvi8bMLAtjRGah6GrnJ4sErdjxo9CjWV4yM1ym5AzQ+peiEpS5ssKvGiiE/84DBFJ2BnR4aP/Nq1aFN6Kc41llFTFXRFIYwEOdtkpNaoTG9cZzx+zTEbm5IIFA4PVukuJEkYKrqmsrk5zaOnigRRPCtQhEZ1etkJuOf+xj8U3vGiy6ZdkyRJZ3f+dIyVJElaRZ+7v7FX8dYdrZOV0CttsVXEK2mh87EThnbG54WRoDNnY2kq+3qKBGFMe9YmjGNGax5pS8doShFGcHS4iqWrVJwQP4r5lwdPcXLUIZvQ+civXUtqRtZ1rqkvtqGRSxoMVXwURbCzI8NQ1aVSCUgndIr1gOaUyc6OLJqq8NRAlROjddqyFoaqkk7oqIrCaNWnKTm72HGs7vNvT/TjhTHP2FTgeTvbVuiOS9Kl48JqBCZJkrQEQgi+83ijM8NrVimrOHPP4Fwzpk+M1lZt9WSh87Fb0+ZZn7exOckVXVkMVcFQVYqOj+tHtGQstrWnyZg6iMYUnL6SQ8LU+NHTwzw9VEVXFV52bfesSTFwuk1RymoUnrhBRCwaS+ROEFL3I5pSBhlLZ1trhlzCYEd7hp3tGcJYcHLMaWQbo5ikqZEwNQbKLl4Yo2nK5DGj8QxqX8mh5AR898kBAN714p1yr6IkLYHMLEqSdNFTFIVvve3ZfGtf/6pllha6Z3C1xgAutF+kqqoLep4QgnWFJGlbR8SgaQr2eCZyrOZz9FQJJwjJ2xn2nijyo6eGAfjla7rY0GQzXHXpzCVmBWfzVZLfsKUJhMJI1WWsFtKUNlifSdKeS9BXdHiip4RQFJrTFhUvQKBg6VqjilpXaU1ZJC2NsVowrTo9YWhsbkmxpTXN7o1yrJ8kLYUMFiVJWnPnoiAkaer8193rVvSYUy10z+BqjgFcaEufhTyv6oXjc7FVEonpy9WFlIkfxsSx4OhwlS8+dAqAZ29r4foNBboLCXqKLs0ph1zSnHNM4HzjBQcrHqCQTRjkkwaKouAmY8IYBDFu0GitE0WCoYqLqip0ZhMU3YAru7NsbVNnfR99585bqbjhqt13SbrYyWBRkqQ1tdoFIW4QYenqqi8/LnTP4MwxgCsdKC+0pU82obO5JUVzqpEJzdpGo5p4/Hlz7S+ckNA1UpZGylS558GTREJweUeGl1/X1ShSqfqcHK3jBTF525j1eZ7pPbdlLDY0J+kvuShK49oShkpbxiKMY/pKLumETt0PCOIYXdPoLTnU3JBsQmdXd578jOyurqkUUnNnfCVJOjsZLEqStGbORUHIn3/zSe4/OsofveRynrOjdYWufLaZwdXU3oSaqlCs+3QV7GljANeqcnoh5z3TsvZw1SNjGXzlkR5qXsTGpiTvevFODE3lyHCNUt0naem0Zy10VZ32eQJnPPdc51UAQ1chhO0dGVrSJsNVHy1SydoGsRAIASNVn8d7SuzqztFbdPj5kRF+7YYNK9ImSZIuZTJYlCRpTSy0ifSurtySM201L+T/PdJD1QvRV7ldytQg5/BQBTeIqXkhXhjjBBFtGYsruk+/l9UKlM8WCC7mvPMtV29strnngZMcH62TTej8yS9dQSFl8vRgFccPMTSN1oxJymxkKic+z/19JaJIUPejM5575nn9MEIIQUzM5uYsxbqPiAWtmcaUmaGKR1vGYlNziv6yy4nRGv/f957mO08M8NRglT9/xVUr90FL0iVIVkNLkrQmFlMQslRf29tL1QvZ0pLilq3NSz7OQuVsgw3NSSpuSE/RwQtjErpKdyFBJmFwYqROyQlWrXJ6IhDsL7mkLJ3WjEXK0ukvuTzeU6JU9xd93oll7T2bm9izqcCezU385OlRfnp4BE1R+G+3biFrG9S8kOGyhx82KpU7cva0ID9vGxzorTBa8xd07onz7ujIkE4YtGYtEAr3Hx1l36kSmqLghRFDFW/a+QpJk0eOF/nOEwMoCvzWMzetyGcrSZcymVmUJGlNrHZBiBCCz/7sONBown0uWqYIIRir+bRlLHZ0ZIgiMVlFrKBMZks3NadWvHJ6IZnagwNVam6w6PNOnVTznwcH+eC/HwTgXb+4kxs3NzFa9Sk6AbUgZGNzis6cPeu6o1hQdBpteRZ67rIbcnS48Z42FFJ0ZG0O9pV5+MQYfhSzvilFR9aiY8r5DE3lq3t7APilq7vY1paZ83ySJC2cDBYlSVoTSy0IWai9J4vs7ytj6eqqVkFPNZEtbUpZjfc0YxV5IiBqSporHigvJFM7UHYAhab07ObVCznvseEab7vnEYRoBOBvfPaWyWKVUt3H0lWaUya2OftHixNEIMC25t4/OPPccwW/CUPjiu4sQRRT8ULyts6WlkY7oAlPD1Z4+EQRRYHfe962ee+XJEkLJ5ehJUlaEwttIj21IGQxJuZA/9LVXbOqY1fLQrOlwGSgPJelBMoLOffE4vJSzlvzQn7nMw9RdkOu35DnT196BXA669iVt+ku2BSdYM5jV72QQspAmyfDO/PccwW/AgEopMantrhBhDvjvXx+fKzfS67qZHu7zCpK0kqQwaIkSWtirmkeUydvTDSHXsrycdkN+NfHeoHVnQM909Rs6Vz8KCKIY4QQJEyV0Zo35/OWEiif7dxBFJO2dFoyiw/QhRC848uPcXCgQmvG4hOv2Y2lT3/O2T7PppTJZR05ivW5g8mZ554Z/Fa9kKcHqxzoLTNWDxip+TzRV2ao4k2e54FjI42sIvB7v7B9wfdOkqQzk8vQkiStmYU2kV6slKnzydfu4fsHB7l+Q35lL/qM552/N2HVC9l3qoipqeiKghfFjNV8nCCiO5+cc4rKYgLlM50bGsFYZz7B+kKSJ3rLZ5zeMvO8f/ejI3zzsT50VeHjr76e9mxizms42+cJ8HhPaUHnnhr8hrHg8FCj0jqTMMjYBqaqcmS4ylMDVWIhyCYMOnIJbruslbSls0NmFSVpxShitQaVrpFyuUwul6NUKpHNZtf6ciRJWoBzMcHlXF3TzNY0hqYyVvd57FQRgGvW5ScnoPQUHSpuQFPSxDI0dFWhOWMuOVCe69xTg7GJ1jRztdeZ77w/eXqY137q58QC7nrZlfzmzZuWde8Wem4hBPt6SvQVHWp+xEjVoyV9Okgdqni0ZkxUBdoyCXaty002FQ+iGGOJe10l6VKy0JhJZhYlSVpzU6ttzwfLaZY9M7sWRDGnxuokTY1d3fnJ95kwNLa2pukt1imkLLa3pTB0bVmB8mLG/S1kysupsTpv+fzDxAJedf06XnvTxgVdx5k+z4Wee2JZe7DicXS4TGvaIo4FQRxTdsLJdjm6qlDzQhRFmTyGDBQlaWWdP387S5IkrYAPfucAYSz4zZs30Z2fvRx7NivRLHtqQFSqN4K2+aqEm1IWNS/E0LUVCZgXE4yd6XxuEPHfP/swY/WAXd1Z/vwVu5ad7RVCUPVCyuNFMFnbOGNwnLMNdrSnOTZUI4xjxhwfXVFozZiT7XKiWNBfdvnzb+7nzc/dxrrC3K15JElaOhksSpJ00ah5IZ/+yTFqfsRtO9oWHSyu5FSZiWAsHF8SteYZObfcfpJnOvdy3PWv+9nXUyKfNPib1+xe9si8khPwRG+Jg30Vio4PAvJJg52dOa7oypJN6HMGuE0pi62tKTRVRdcUNHW8b+X4/Q+imHv3D/AfBwbpKbr882/fsKzrlCRpNhksSpJ00fjGo73U/IjNLSlu2tK06NcvZqrMQoOx1e4nuRq+9NApPv/zEygKfPhXr6U7b1P1wiXvKS05AT8/MsKTfWV0VZkskBmr+dx/dISBiktbxsIP4lnL/tmETnPGahTupGYH/ydGa/zo6WEAfufWLStzAyRJmkYGi5IkXTTueeAkAL/2jPVLWjJdjakyC61SnqtdzXKLfpZyjP29Zf74/+0D4G2/sJ3rNhTY11Na0v7NiWs4Nlzl2EgN22iMIJxg53VOjdV44MgIG5uTXLu+gGVos5b9J2Zuz1VF/eOnR/DDmKu6c+dkpKMkXYpksChJ0kXhyb4yj54sYmgKr1rixJbVyAJOFGrMF+zM1a5moQU2i606PluQV3IC/vvnHsILY56zo5XX3bJp2fs3a35Eb9FFCMjZ03/kCCHwwkaPxBgFAdPmRU9d9p+rcCefNPiPJwcA+O+3bV3zCnpJuljJYFGSpAueEILP/LQxB/q5l7XRnFraxJaJLGBf0SGfNIliMW2P3HxZwLOZqFI+Nlylt+TiBTGWodKdT7CxOT0t4Fpogc2ZgkFg0UGeEII/+OKjHB+p0523+atfuYaTo/Vl798MoxgvjFGV2VXKXhjhBiG2qROEjSbeU01d9p+rcOf/3n+CshuyuSXFC6/sWNRnIknSwslgUZKkC1rJCTjUX+are3sAuLo7x76e0oKXSadSFIVCyuTRk0Ue7y1jGxqWrpKydBKGSmsmseSpMpPE6f/GsaDmhQgh0DWVpKEuqMBmorH2XMFg2QnQVHXRQd4nf3iEe/cPYGoqH3/19ZiGtiL7N3VNxdJVYtHIzE6d/BIJ8EOBpoKha2jq9Ps6c9l/auGOH8Z86sdHAfhvt26Z9VpJklaODBYlSbpgTWThBsouz9nRysH+Cs/Y3LSoZdKZxzsxUieTMNA1BcdrzB4uOg7tWYvdm5LLbpbdkrYwdbVR3HFsjCAapbtgk08Y2KbGcMWjbZ4JKYWkyXDFo+aF8waDR4erjNY8rujKzXuMmUHe/UdH+eB3DgLwp798Bdesz1Mcb/mz3P2bKVOjK5/g5FidshPSmjkdLGpKI7to6irtGQt7xtL/mZb9/Sjml6/p4t4nB3jl9d1nvAZJkpZHBouSJF2Qpra52d6WYXtbBiEEiqKQNPVFtbmZebytrWkEAieIiCKBpikUaz7Fus+6vL2ozOJc7XiqXsipMQeEAiImimOSlkbPmMOpUYd8ypxzz6ShqVS9kJoXzTtyL23pHB6sEs0znGtmkDdc9XjrPQ8TxYJXXNfNb9zQmKW9Uvs3FUVhU0uagbLHk31leosR+aSJosBo1UdTFTIJg47c7Pt6pmX/tKXz7l+8nHe8aKfMKkrSKjt/ejVIkiQtwlxtbqYGG1MzaEs5noJC0tDJJAxsQyNhahwfrjFY8VjMlNSZxxVC0F9yqPsRrRmL5rRFpR4igK6CjR/HnBqtz3mOIIqZeIfzZfxsQwMFHG/u9z01yItiwe9/YS8DZY+trSn+18tPN96e2L85VvfnPM5Y3ac5Yy5o/2bONrhxSzPP2NxE0tQZrLgMlFzSCY3nXd7OtevzVNwAN2jsW3SDiL6Ss6AZ2TJQlKTVJzOLkiRdkCba3DxwbJRC0uTKruy0oGKxbW7ma5tT9RpVzMWaz2gtABQ2NCcXvCdy5nGdIKJUD8iOVwbrqkooQqJIkE7odOUTnCo6bGpJkZwx8WWs7tOWtam5wbwZP01VyNsmVS+kNdMITp3xIExTFYp1n66CTcrU+OvvPc2PnhomYah84jW7SU3Ze7iUKu4zydkGN29p5qru3LQJLmlLp+yGZx1RONXd33qS2y5r46YtTbICWpLOARksSpJ0QWosfwo++cMjlJyAP/2lK9iz6XQj7sW2uZlr2bXqhRwequL4IZau0ZQ2yCaMRe2JnHncKBaEQkxWBodxjK4oaJqCgsKGQoqhikdv0WFdITkrQLusPc3x0fq8fRuLTsDOrgxRJDg8VMENYmpeiBfGOEFEW8biiu4cPz08wl999xAA/+vlV7GjPTPrWAudNb1QitJYcs4kpr9uoSMKAR49WeSTPzzCP/zkKD999y/QkrZmPUeSpJUlg0VJki5IKVPjyHCNkhOQtw2uWZ+jHoTT9hhOZNAWerypzbMFgr6Sg+OHtKQTDFU8WjMm+aSBopgL3hM587iaqqArymRlcMUNaJlS3GHqKlta07SkTWpeOGeAtlFRqLghvcU6tqGjKCAEOEFIOmFwRWeOshtwdHzZ3DY0ErpKU9ogoes8drLIn3ztCYSAX9mzjv96hr6UiwnklmOhIwonKqBfenWXDBQl6RyRwaIkSRckRVH4ydMjAFy3Ic/Bgcpk9fLUDNpCg5qZy66WoVKs+Vi6xlDFI2lq04owFto6ZuZx87ZBOqEzUHYxdRXb1OnI2ijjuxHH6j4bm5Nc2ZmlHsRzBmg522BDc5IHjo5wsL+CHwpMXWF9s80V3TmyCZ3jIzXaMhY7OjKTAbRtaMQxvOPLjzJS87msPc2f/fKuBd2b5c6aXgl9JYdv7esD4LeftXmNr0aSLh1r/6dfkiRpCQbLLj8enwl8VXeO3qLbyKAZKs0pE8tQOTFSJ5swFrxcOnXZ9cRIjdFaQFPaoDVj0pGzpwVMi9kTOXM519RVlPGJJd15G9vQcINo2l5AVVVJW3MvoU+0+EmZOtdsyKMpCpEQuH7EiZE6mqIwWvVpSlmNJfUpb///PnCcQwNVLF3lg7dfg73IBuNr6Z/uO04YC27c3MSu7rlbA0mStPJksChJ0gXpSw+fIooFOzsyXNmVnXPiymLb58DpZddGaxqFbMIYX3qe/vrF7omcuZxb9yOGKi5jtYDhqrfgvYBTW/F05ZPTH0w2sm/HRqoEUTyrWOfRU0W+MD4/+7U3bWRD04zXn8fqfsg9958A4A0yqyhJ55QMFiVJuuAIIfjig6cAuGVr8+kM2gwLXSqeSVEU2jIWG5qT9JdcFGX2FJOljP6bupybT0JnLrHovYBztQyaqpA0Ga56oDCtWKdY9/nQvx9EAM/b2caztrXMCnTPNGt6KRZ6vIU878sPnaLkBGxsTvILl7cv+ZokSVo8GSxKknTBGSh7RLEgaWpcv6Gw7CkjczlT65jRmoemqeRsg5ofLTmoWspewPla/EwwxquvU5beCGhzNrEQ/J97DzFWD1jflOQV13XP6pF4plnTS51as5DjLfR5hZTJlpYUv3nzRtlbUZLOMRksSpJ0wenIJfj+H9zG/r4ywxVv2VNG5jNX6xg3jAjCGFMTHOqvoqu1ZQVVi7WQySqGprKpJcXR4Rp9JYcfHBrikZNFTF3lDc/cRFPKnNYjceo4wpmzppc6NnEhx1vMeX/p6i5+cVfnvJNpJElaPXKCiyRJFyRVVbiyK7tiU0bmM7HXcM/mJnZ0ZEjoGklToy2boDVjkbJ0+ksuj/eUKI03m15NC52s0plLsKs7x1jdn9zr9+obNrB7U2FaEDZzHGHC0FAVZXLWdM0LOTFaW/DUmoUeL47jRZ9XVZXJ/pSSJJ078k+dJEkXlJOjdbwwmtznlk+aqIpCb7G+pHFxC6EoCilTo1j3iYWgK59cdlC1nGvZ2JwiZTXmX5/pPQsh+Mh/PEUs4EW7Onj7C3awq2t6lnAheyCXMzZxvuMNVf0FPe+xUyXuuf8EbrCw80uStPLkMrQkSReUt9zzCMeGa/zhC3ewLp+cXBr2w4gwEliGtqwpI/NZTFC12j0JFzJZRQjBO770GL1Fl03NST74X6+eNTkFFrYHciXGJs48nhtEC3rep358lK8/2svDx8f44O3XLOgaJElaWTJYlCTpgnGwv8KjJ4toikJC10hZ+uQ+t4mikx3t6cmALooFVS9ckYkjKx1ULdfMVjwTRR8T7/krD53i3/cPYGgK/99vXD9noAgL2wO53LGJE4QQlJ1gMhuqzajYnnneuhfy7ccbTbh//cYNCzq/JEkrTwaLkiRdMP7lgcbeu6vX5bisIzv59YSh0ZVP0ldy6BlzGav5jNWCFanqnVjurnkhQRzjhRG2MfuvzuUW0yzFRDV1yWmM9pvIMvYVHd73zf0AvOvFl09rYD2zTU3SUKeNI5xpaoughbS4mTnecELVC+kvORwZrpGzdZKmRtHxKbkBW1tnz6Ueq/vcf3yUIBJcsz7P9RsKK3XbJElaJBksSpJ0QfDDmK880gPAC6/smPM5hqby8Ikx1hdsOnP2ilT1Tiz1BlFMf9Hl5Eidq9blZy01L6Xv4kqYWVEshOBPf3iEIBJcuz7Pq67vnvP9TA2kCylzzhZBUyfKlN1wQS1u5mo55IUxhwbKDFV8WjMWl3VkMDWVshsyUHYB6M4np503YWjcu38AgNfdvPGc3lNJkqaTwaIkSReE7x0YYKwekLMNbtjcNOtxgWCk6lH3QlrSp5t0TxSgLHaay1xtXQxN5dFTRe4/OsLV6/IUkuasoGq5y92LMbPyGOD/+95T9BQdmpImr71pAyfH6uRsg7IbTns/hqZQdkIOD1bJ/P/s/XeYZPdZ5o1/Tq5TuTqnydKMNBolS7It54QcwOCAAwabZIMJS/ACu7z7e19gl8Wwa1jDggMsC9jGYBtMtmU54CjLSpY0SjPS5OkcKp8cfn+crlKH6u7qme7RhO/nunxZ01V1Umtadz/Pc99PSmP/UJaK5XecgQQ2Fa2zdKZyvu5ybLZJ1fHZP5RlKP/M2sR9/dn2fTQcnzCmfd6j0w2may69GZ3XXT98wZ6pQCBYjRCLAoHgomRly/PTi2vqXnRVL2EUs3LMzfYTA0re1DqGNm/GgNJJhAH0Zg2eu6eXw+MVTs03CMKkGrbVZppuWWm6+ebTc3zh8Wkk4H3fs5+dPRnm6x4NN1h2Pw034GzZomr5BHHM8bkmddfj5fsH2NufXdZmBji8KBSXPouNRHhrpnKm7tL0Aq4eSmZJJZZ/b0aLJg3X5+BIAUOV2+f9nX97EoC33baj40yjQCC4cAixKBAILjpWtkttL+CrR2eBJJy5tZlkKWEYJ/NvA1nMDuJiMwaU9ZzPWUPlprEi802PgyN5Cml9Sww058JS0810zeGPv/IUAD94yxg37igSRjFBlJhKWvfTcJNqouWF5E0VTZHRFZnjsxa5VIXbdvdQXHLfDTdofzYmxvZDwjBGUZId3OuJcEmSMFSZlKZSNFcLRUi+L2EEhiq3z+sGIbqaGGV++PmiBS0QPNsIsSgQCC4qOm/10PiN1x/k+GyTQ2MFTs9bq+br5houGV2lJ613FG6bMaBs5HzWVQVNkckY6jnF5GzVDuaW89j2Qj5w1xGaXsiBwRzveG7iHG7dM0AQxWiKxNmyheWF9OeM9nHSukrBjKjb/qoqYetZeGHEmbJFbbEaqUoS+bTGYC61rgg/F7e1oSr81U88l5m6w0AutennIhAIthYhFgUCwUXDWu3flKbwnJ09DBdMKpbHdSN5Ti9Yy+brdvel6csZNJyg47E3Y0DZ6jiZpWzFDuaW2PSDkJQu8/Fvn+TJqTppXeFXXn2gfV2te86bGqqczChWLZ+8ufxHfxBFqFJyHSurhKoi4wQhpxcswigil9LaAn2+4VKxfAbyxprPYi13dIv1vi9CKAoEFwdCLAoEgouGTu3fOI7bVa5Wy3NPX3ZZxmCrOtcycazn6u2mgnc+Amc9tmIH80qx+ehElc8dngLgp168l/6sgeOHy+45a6j0ZHWOzTQI4njVyry649OXM8inNOYb3rIqYVqT8YKQ2brL/sFnIm4MVcHIKhydrlPKaKS1zmKxkzt6ve/Ld0+XGS6YDBWEUBQILhaEWBQIBBcNndq/H/7aMepOwFtvHWNnT6bd8pSkpAXcqrJVbR9VkTtWHTdrQNmswOmG9aqm3bq1V4pNL4j4+D2niIGbdxS5eiDLXMPteM+7ejPM1FyOzzXRFZm0rhJEEXXHx9RVhvImQRivqphafoShKPTndGbrbjLnKMv4UUTNDujP6eiyjOVHZI3OgrGbjTOtZ/Qrn3mYk/MW/+ddt/Lyawa6fr4CgWD7EGJRIBBcNKxs/9peyL8fmcHxI77vhuFV7d81W7o96VWu3s3OBHYrcLrlfNcFrhSbcRzzwS8dZb7hMVxI8WMv2EV/PsXVAxk0VVl1zwVT49bdJWqOx4k5i4KZtJ77ckY7zmaiYlHKGPhBSIOkwhqEEYamcGAoz0zNodL0mA9CpFiilNEYK6Vxg2hD49DKjTOdvi93H5vn2GyTjK5w624Rwi0QXCwIsSgQCC4aVrZ/v/X0HI4fMVxIcXA4z1TNabd/u2npFtcQZt3SjcDplvNdF7hSbH7piWm+dWweRZb4lTsOMFJM03QDNFVZ03RTTOu88ppB7jtVpm779GR18ikNP4x4bKJKzfapuz5TVRtZgv5cih0lE1WW0BWZwXwKxw+xg4iYZL/zeMUmZ6hdzW+2Ns6sxV/dfRKAN98ytuZ6QoFAcOERYlEgEFw0rGz/3vV4Mov38gMDTNWcdvsXOO+W7mau6Vwczys5X9PMUrF5tmzx0a8fB+BHnreL/YO5dkzOhhW+tM5tu3vaFdNTCxYTFZupik1IzERFQpVl0obKkekG/Vmd4aLJeMWi4YRYXkhP5pm2/Kl5i9FSivA8d2KPV2y+9ESyseVdYmOLQHBRceGWmAoEAkEXtNq/YRTzxFQdSYLbdpUYLqbaBpDNtHQvFlpV07LldXy9bHn05vQ1TTMtsdl0Az5w1xHcIOKGsQJvWlznt57YjOOYhhtQsZKA7nxK5frRAvuHcqRUmTCKyJsaOUMjjMENI7wwojetM1l1OTHbYLrmMF6xyZsqqpwIxbrjM1oyyRoap8sWcRx39SxWXk8cx3zyO6eIYnjBvl6uGli9K1ogEDx7iMqiQCC46CiYGofHqwC8cF8f33NoaFn793xbus8G52uaaYnNP/7K0xybbZIzVN73qv3Ii+9fy6G93lznXMPFCyKyuorre3hBRH821T5ezfHZUUrx1EwTQ5MYzKWw3YAQls07qrLU9XacTteTM1X+9t5kQ887RQi3QHDRIcSiQCC46AjCiL9/8CwA73jezlUCZDtzELeT8zHNSJLEVNXhrseTVu1Pv3QvxbS+KiZnqdhcb65zpu7iLoq7M2UL1wtJ688854yhMt9wcfyAuYaLG4TkTZ1SWqMvY5BPa5iagoTUdQt8ret54FSZhhvQnzV41cHB83zKAoFgqxFiUSAQXHQEUcx7XryXux6b5lXXrhYP25WDeCFYaZpp7bEOo6Q1u5aBptz0+P/+6TEAXn3dIIdGCmvG5EAH9/SSVX2FtMb4gsWC5XNwOIeEhBtFZJRnzhuEEdMNl3ygkTUUdEVCBup2SBi6ZFNae31fN+J8veig2/f28XtvTiXh4B32egsEgmcXIRYFAsFFR0pTePeL9/LuF+/t+Pp25CBeSFqmmartc2Ju420ucRzz//zDYaZqDnv7MvzBW28kRlrXob10rrPhJs9p6ao+JJhvuvhBllJG49R8kyCM0RWJOI5ZaHpEYdLqL6Y0nCAkiGJGiwazdZepqs2+/iySJHUlzjeaMx0tmjTdoKtWtkAguLCIv5ECgeCSZK2W7lDBoC+bapsozjXqZrvZzDaXz9x/ls8/OoUqS/zh228mY2wcK7N0p/OJuSa2Fyxb1VexPGqWz9mKzZ7+DKfmLaaqNsMFkzCKmW04pDSZrKFiaDLDJZMoiplrOKQ0hYWmR2/GxwnCrsT5WnOm5aZHadFdfbHNmQoEggQhFgUCwUXFnY9O0nRDXnv90LIZuk6sbOlaXshs3eHoVP2c9y4vpbUd5nwzFjsdt9von5PzFr/5L0n7+T/ecYDrxwpdnUNVZBQZTi8kQrEv+8z6PENVKKZ1Fpoejh9Qt32uHynwyHiFiYqF5YX4YcxYMYUqSxTTOnv7sgBMVm0qTY9y06fm+OzqS3cVUt5pztQLIn7ubx5kMJ/iV75nPylNuejmTAUCgRCLAoHgIiLZSvIUT07VsfywK2fsypbu+exdXsqaLuJzFJ5L6Tb6p2L7/NLffhfLC3n+3h5+6iWd2/KdyOgKaV1louIwWlw911mzA/b1Z8noiXC0vZBrhvOc0hpM1VyCKMb2Akxdbjuus4bKVQNZypbHgO1z254eBnLGOe/bvvvYHHUnwFB9gHWjgwQCwbOHEIsCgeCi4dHxGk9O1dFVme+/YaTrz23F3uWlbKZFfC50G/3zJ195mofPVsmnVP7grTe1zTDdIEmJ8UWXZaq2T8Fk2U7ntK4wWkrj+CH7B7NoqsJC0yVnqOzuDVhoejT9xKFcdwKOzTYScWkoVC2f/qxBehPCrtOc6ecfTULXX7Cvl5ypXdRzpgLBlYwQiwKB4KLh0/cnWXuvuW6IQrp7MXa+e5eXstXCs1Mru5von2OzDf78WycAeP+bbmCkQ3VwI3oyBnv7M9TdAMcLacQBqiTRn9MZKiT5iEEYtXdJH5/1iWLYN5Bj0A04NtOgZofkTY2q7fHkZA0vDAkXs84fOFneVLV16Zzp4TNVHp+sIUvwpueMnLcAFwgE24cQiwKB4KLA8UP+6aFxAN56645NfXYrQ7q3Uniu1cre2ZNeN/pnvGLz5988QRzDm58zxvfeMLzqPevNU7Ze84OQ3pyOIkOpL0MQRvhhjKZIyBIsNF1GSiYZXVl131lDZd9AlqmqTdXyabohRysN9vRlODRSoJTRz6na2poz/dR9yS8GL79mgJfuHxAVRYHgIkaIRYFAcFFw1+PT1JyA0aLJC/b1buqzWxnSvVXCc6NW9s7e9JrRP5954AwzdZcdPSa/+f0HOx57rXlKYNlrThBSbnosWD6ylKwLdIMI2w8ZyBkcHE0MM1UrmZE0NJk4lpEkiYyhMFxMkUupeFFIKa1x844ieTMRlOdabXX8iH9+eAKAd92+WwhFgeAiR4hFgUBwUfCZxRb0m28ZQ95kMPNWhnR3Ep5LA639KEKROecA6pa4qlgeh0bynFqwlom+p2bqfOvpeWQJPvi2m8illlfr1hOhU1Wn/b6lr1Vtn6PTdXRFppjWSakyPVmNlKryxESNsws2Fdtr74AeyBnkUho1x6dm+TT9gNNzTUxDww1W73/eTLUV4M7HJqk7ATt6TF58Vd+G7xcIBM8uQiwKBIJnHT+MiGOQJXjLLWOb/vxWhnSvFJ4rA62rts/exZbuWnTbyt7Tl10W/TNbd/kPf/tdAH7+5Vdxy66eZZ9bT4QO5VPcc2IegOfv7W1vVzE0GVNTMFWFnX1pdpbSqGrytaYbcu+JeUxd4caxAjt600xXHc6WbRasKj1pjf5cCkWRcMMYM44ZL1uYurJMFG42I/H1N4yQ0VWCKN70LwYCgeDCI8SiQCB41tEUmU+8+3nM1B0GcqmNP8Dqmb18Sj3nvctLWSo8j802WGh6+GGIqamEfkQprSFJ8NhEbc05vc20siVJJWuohFHMez/xAHUn4MYdRf7DK69e9bn1RKjth8QxSHHyz2lNbX+9ZvkMF01cL3lWaU0ljmOmqjaqLKHLMkgSo8U0thdyfLZJ2XIppjTiOKZi++RTKrt6M9h+tGx7SxzH1Gwfxw9xg4g4jjcU5aoic8d1Q918OwQCwUWAEIsCgeCC0E3AdbdCcb2ZvaWVunMN0i6YGodG8nz5yWnKlkfB1IiimIGcwVDBJGuo687pncsM5Z994zj3HF8grSv84dtuQuvQ5l5PhIZRjARIMoRhDNozn7H8kIyh0PSCdvXP9kOqlp9kLC622HMpjdGSyel5i4yhMVmzSWkyY0WTnrSO5QWJM9rysf2QKIapqs3xuSYFU+XxiSrTWWNLsigFAsHFgxCLAoFg21lP3NUWTRWbEYqdZvYmKzYzNZf9Qzl6MjoFU1sm4ja7jUVRZEqmTt+uFKoiocgSpvbMZ9ab09vsDOWj41V+/64jAPzG6w+yuy/T8brdIEKR6ChCFVkiBohAUZJrbLgBp+ctxssWUQwy0JPR2d0nE8cxQRyjS6BKUvszKVVhMG9gaAoVy+OqgRz9OYOmF3JstkHV9gijZE3fRNVmtu7RnzM4MJRDV+R13dGOH/KGP/kWdxwc5GdedhWmCOAWCC4JhFgUCATbykau4L/+zim+8Ng0v/n91224sWWtmb0girG8kONzNU7OJ+HRvUsqXOeyjSUII8IYetJae4PJUtab09vMDKXjh/zSpx7CD2PuODi4LDZo5XUrMpRtj6rjs68/t+yciZAFpOSfG27SRrfcgFJGZ6piM1w0qdlJfuJI0USVJMpNj5GSibkoPhVFQpVl4hhyhkY2pba35Ozrz3JyvsFM1eHYbAMniNg/lGUob7YF83ru6DsfneLJqTp1J+AXX7V/3e+1QCC4eBBiUSAQbBsbuYKfnqnzxcenCaOYG7vYedxpZq+xGB5teSH9WYMgjJBlaVlEzel5a9PbWFRFRpGgavkoMu18QlVJzCEbxfEsDaBeb4bydz//JE/PNOjPGfzum29oi6u1RHbVDpiuJa7n0WJ6mQjdvRidM1mxWbA8mq5PwdRxg4jc4jEK6UQ8z9Rs3DAkiGKG8mbbEGNqCvm0xlPTDfYPZtsiEpLsxZ60zkghTd32yKU1Smm9/dkWa1Vd/+be00CSo7mZbTQCgeDZRYhFgUCwbWzkCn50vIYfxuwfTFzBG7FyZq9l0rC8kP6cQRjFVGwPTZbpKRhMVCzuPzlPWlMZKabbx+kmHzAMI8q2x5OTdYIoxvVCUrpCXy7FUN5AkmDfQHbdOJ5WAPVa7e+vHpnhL+8+CcAH3nIjPRm9fV9riex9/dn2exqOTxizTIQCPDlZ48hUHVWRcbyQsZLJtcP5dhROGMXM1F0OjeUJQqg7PqostYWnLEkUF408bhAtE6TZlMaOnjRHpyKK5mqhCJ2rrsdnG3znxAKyBG+9bfOOd4FA8OwhxKJAINg2NnIF//uRGQDecNNoVyaUlcaRlkkjbyY/yoIoWjZ/Z2oqR6bq3LizCCzPS1SURBB1qoBVbZ9HJ2o4fmIOcdyAQloniGKmqhazdZvBvMktu3s2vO5WC3clC02PX/27RwD4sRfs5qX7+9vziVXLY7xi05vpLLJHiyYN1+fgSAFDlVeJ0P2DWWZqDildQUYik1JI6yoDeQPbD/H9RAjfvKOELMurqp/7BjLcsruUhHl3qIoqsrRpA8+nFnM0X3ZgoOMcp0AguHgRYlEgEGwb67mCj802OD7XRJUlvv+mka6Ot9I4EkaJSaPlHK47Pn05o906lSTwghhFklblJaqSRDaloqrysgpYq6rXcHxMTWEwlyLKxjSdABRoOCGjJZOBnEHF8hgrmqsE40ZmmjiO+c9//wizdZerBrL859des2w+sWL7nJhtsKM3zWgxvUpsaopMGIGhJiHbK7H9iLmGix/EyIqEKknk0xrDi05uh5BcpKGpSV7iWtXPsaLZ8etxHG/KwOMFEX//wFkA3nbb5lY5CgSCZx8hFgUCwbaxniv4i49PA3D7vl5Gi91VmlYaR1KqggSLK+xCTF1dNn8Xx6CrEnXHZ77pY3sBuZTWbqtO1xyQJCwvpNWlbrXOTU1lsuLQnzPQVRk3CAmjpHoZR4lYWqsquZGZ5jP3n+Wux6fRFIkPvu0m3CBaNp9oaDLTNYfpqoPjR+zrzy47x3rzklXb5/hsAz9Kts0M5Uz8MGK+4WJ5Ifv6s9Qdf5mYW6v62fp6u+Jp+23RuJkQ9K88Oc1cI3FNv+Kaga6+1wKB4OJBiEWBQLBtrOUKdvyQbz49B8A7nrdzUzmIS40j83WXOIbZhsve/swyVy6A7QeM9ZicXrCQJYm+7DPxPIaqoCkKkhQz13AYLqSQJKndOk9pUrtqKSGRUpPjtuYiFSScKFpWldzI+X1otEDF8vjNf3kMgP94xwGuG8lzePEzLUEdxzIDOYPZuoftBUzVFkOwF0XwWusLW1VRywu5frTIsZkG8w2PvKnSkzaYqtkcHq9wcDjf9Uab9cRvtyHo+/qz/NBzdzJWMjvmRwoEgoubbf9b+6EPfYg9e/aQSqW45ZZb+MY3vrHu+7/2ta9xyy23kEql2Lt3Lx/5yEe2+xIFAsE20hJ3Q4UUTTdgruHi+CEf+ZHn8BuvP8gdBze3ySOOYxRZYkfJ5OBogTuuG+DGHUXSmoIqS4RRjOOHTFZtsimN60YKhGHSCnWDkCiKcYOQ2bpLWle4eiDHQsOn6YXAM63zKEryB/0V0TituciQeFl1b6UpJaUpyJLUNtM03YATcw1++VMPYXkhz9vTw3tevLejCUiSJIYKJmldwQsiZqsuTTdo39da6wuXHitrqOwbyNKf03G8kLLtoSoyuiyztz/bVWh2S/xOVR0yhkp/ziBjqExVHR4drwJw/WiBW/f0cOvuErfu6eHQyGp3+dWDOd7/puv5uZdftanvtUAguDjY1sripz71KX7pl36JD33oQ7zwhS/kox/9KK997Wt5/PHH2blz56r3nzhxgte97nW85z3v4ROf+ATf+ta3+Nmf/Vn6+/t585vfvJ2XKhAItpG1XMG37+vb1HHWqnIdGMpRbnrMN1waboAEDORNDgxmiYGxnqQVW7cDGnGAKkn053SGCkm+4FzDbVcIW63zyYpNIa0thk4/U8FrzUU6XshIyWxX97rZB/1Xd5/iwdMVcimV33/rjSiytKYJqCX2xssWZ8oW0zWXoqmtu75w5bFa2Yi2H7Y3vDTcgHQXYdgbxR4tdZJ3amELBILLh239G/4Hf/AH/ORP/iTvfve7AfjgBz/IF77wBT784Q/z/ve/f9X7P/KRj7Bz504++MEPAnDttddy//3384EPfECIRYHgEqc1/xZG8Tll7G3U4t3RY2J5AU03qRA2HZ9TCxZ9WYN8SiOtK8Ql2udvbWNx/HBZhXBp69z2Q1QFZuoOpqZg+0HSukYim9KWVfc2cn6fmGvyTw+NA/DbbzjEWCkZklzPBJQ1VHb2pMkYKjeMFSik9Y6bZ1ozhU03wA8jXD+Z32zdT3rxnx0/RFPkNbMhl9KN+F1rg02LMIp5/+ee4HtvGOamHcVNr10UCAQXB9vWhvY8jwceeIA77rhj2dfvuOMO7r777o6f+fa3v73q/a9+9au5//778X2/42dc16VWqy37n0AguHj54JeO8gN/8q12bE43bNTina27fP3oLFXLZzCfYkdPmmxKY6rqcHy2kayus33SukoupZHW1bZwKVsevTl92fxfq3W+tz/LYC6FIklULA9FlhjIG+wbyKwK814q+lZieyF/8MWjRDG89tAQP3DTaPu1ViWzbHkd771i+4z1mIwUk3nMlYKravscHq9y/4kFHp+oMVW1eehshYYbrDpWp3tdi43E73obbFp8/alZ/s83T/Djf3kf3jrvEwgEFzfbVlmcm5sjDEMGBweXfX1wcJCpqamOn5mamur4/iAImJubY3h4eNVn3v/+9/Nbv/VbW3fhAoFg2wijmL974CyTVYeGs1rMrMV6Va4kOzFguuZy9UCuXZ1b2i7NmRJpXenKudui1Trf25/FD0K8MEZXJDRV6VjdW8/5/effOsFUzaEvq/P+N12/7LXNrAZcSadqq6rIPHK2wr0n5rlxrEgxrXd1rJWsV/GE9R3ZLT59X5Kt+MabRzFUsQdaILhU2XaDS6d2yXo/qDq9v9PXW/z6r/861Wq1/b8zZ86c5xULBILt4utPzTJZdSimNe64bnDjDyyyXpXL9kNsN8TUFMIoXvV6Ka3jehF7+7PLTDZNN2C4mFpz3R880zovZQwG8ylKGaNjda/13l29GTKGymTVxlmcE/zGU7N84bHkF+TfedP1HXMRO5mANrq+taqtfVmD5+7pxdQUTs41ma07Xd3rSjaqeG5UpZxvuHzpiSQeSWQrCgSXNttWWezr60NRlFVVxJmZmVXVwxZDQ0Md36+qKr29vR0/YxgGhmFszUULBIJtpVVpesNNm6s0rVflCsMYJ4hIaXLHWchWuzStK+uu3tsKVu6Dnm96fPhrxwB41+271nV+b7QacCXrVVuzhspNO4vMNz0OjuTXnHVcj/OpeAL8w3fH8cOYG8YKXDOU7/q8AoHg4mPbKou6rnPLLbfwxS9+cdnXv/jFL/KCF7yg42duv/32Ve+/6667uPXWW9G07n4bFggEFyezdbcdxP32526u0rRelUtRJGw/JKOr7c0tS1naLm1VCouL0TLbYbhoib5bdpf4x4fGqTsBB4Zy/JfvvXbDz0qSREZXUJVkq0zTC9vdlZVsNFOoKwqaLJMx1HO+13OpeEJS9fz04nq/t94qqooCwaXOtrqh3/e+9/HOd76TW2+9ldtvv50//dM/5fTp07z3ve8Fkhby+Pg4H/vYxwB473vfyx//8R/zvve9j/e85z18+9vf5s///M/5m7/5m+28TIFAcAH4uwfOEkQxN+0obrrS1Kpy1WyfE3MNskYiDBU5MZ4M5AwMTe4oiNYKsN5OJEninx6a4BtPzaErMn/49pu6qqR2s/2lxVbMFHbDZiueAA+frXJ0uoGhyrz+xu5WOQoEgouXbRWLb3vb25ifn+e//tf/yuTkJIcOHeJzn/scu3btAmBycpLTp0+3379nzx4+97nP8cu//Mv8yZ/8CSMjI/zRH/2RiM0RCC5x4jjmU/clf9d/aJNVxaUossx8w+XYTAMkKJo614zkODha4PS8dU7t0u3g2GyD3/63xwH4tdcc6Eocd7P9ZalgXM9QA1srktdaB7gWc3WXkUKK5+3t7XpGUiAQXLxI8Vo9jkuUWq1GoVCgWq2Sz4s5GYHgYiCKYu56fJp/+O5Z/uCtN5HZZIjzUiFVTGuEcYzthjTcgJ6MzvVjRYBVVbnenL5mgPX50so2XFlt88OIN33obg6PV3nhVb18/Ceeh7xBrmQcxxxe3JTSSfhNVu2k9TtSWCZ6VwrMlSJ5M4aWrSaMYhpOQCEtxKJAcLHSrWYSsfsCgWDbkWWJ1xwa4jWHNrfaD9beJJLVNfpzLNskcj4GlrXEXyfWaxf/2dePc3i8SsHU+MBbbtxQKMK5B2CvNNSst5/5QqPIkhCKAsFlghCLAoHgomazQmoz7dKWQFxoukxWHCwvIIxYd1ZwvXbx/SfLfOirTwPwO2+8vmOVsBMts4qmSlh+QBjGKMrilhmkdQOwz2WmcDu55/g8t+wqoZ3nrKRAILh4EGJRIBBsK3//wFnOlC3edtuOrsXTUrZik0gnWtXBM/MWx2ebeFHEyGJFTlfkjrOC6+1LLpgav/7Zw0QxvPk5o3zvDauXCKyFqsg4QcgTkzVcLyKIY1RJIp/WGC6YiVFlHbPKZmcKt4sTc03e/qf3MJg3+OqvvBzzApqKBALB9iF+9RMIBFtOHMc03IBy0+VDX32aD37pKb60GJuzWdZbowfn5vptVQcnKzZ1N0DXZEaLJg0n4MRckyCKGS6YNN2A0wvNdnzNelXOj379OPNNj76szq+++ppN3WMQRpSbHqfnbVK6Qimtk9KVxMwz22C8Yne9pu/Z5DOLcTnXDueFUBQILiOEWBQIBFvK0l3Fn7rvLMdmm+iqzMuvGTin453vJpGVLK0OFtM6jhdSMDUMVaEvm8L2AqZqNjHxshY3rF3l/ObTs3zlyRkkCX7k+Tsx1O5bwHEcc3rBIpdSGS2a1OwAP4zQZJlcSmO8bNNwfXaW0s9aa7kbgjDi7x44C8DbRLaiQHBZIcSiQCDYMloVu6mqQ8ZQuffkAgC37Cxxat6iavubPuZaa/QcP2Syam86GmdpdTCMYoI4XjZfl0tpVJs+th+uanF3qnKemm/yR19J5hSft6cHGYkj0/Wu77V1PaPFNPsGsvTnEgFbtj0cL2R3b5qSqaNc5DOAXzs6y0zdpSej88pru1/lKBAILn6e/SEXgUBwWbBynq/pBnzz6TkA3njzaLuluzL+pRu20vW7tDoYLc4G+mHUDs1WZZkgTkwmPstb3CuzDWuOzx986Si2FzJWNHnJ1f30ZnSqViKau4muWXo9KUliX38We1EQK7KErsjMN71Nz2ReaFobW9548+ia86UCgeDSRIhFgUCwJTS9kPm6S0pVqDs+X35yGi+I2NGT5pqhHG4QdYx/6Zatcv0urQ6amkIhrTFb9+jPJWIxiEKCKMb2Q+YaLrv70u0W99J9yRMVi396eILjs000ReJ7bxgmn9LY2Zshu1gF7UYcr9zEIkkSaf2Z5+P44ZZsYtlO5houX35iBhDr/QSCyxEhFgUCwZaw0HQ5NttEliGK4d8emQLgZfv7kaT141+6ZStcvyurg0MFk6YbMlt30RSJk/NNZKBm+WQNld6szmTVIb24szmfSsKu7zw8yRceTUw7rz44xDVDOYYKZvv61spG3Oh6VvJsrCvcLP/+5AxBFHPjWIEDQ7ln+3IEAsEWI8SiQCA4b6q2z9HpBlXHpz9roKsyO3pMqrbPjpJJww02jH+5UCytDrbWA+7uy3B0us7DZytEccxV/VnGetIYisxjEzUeOlNltGRSTGn0ZHUG8yk+8vXjhHHMLTuL/Mjzd5LW1WUVxG7FcafrWWtd4WaCwzdiK4/1llt3cN1IAcsLzunzAoHg4kaIRYFAcF60ZhXDMGJPX4b5hksupfGO5+5KImEsn6mqTVpXGCmZF0WFbOUMpB9GEEdcNZDhwGCBvKkSRjHHZ5sQSxBHhFFE2lCYqjr88Vee5sRck4Kp8TMvu4qMsXoucTORPt3MZK63NWazm1q28lgtDo6I9aoCweWKEIsCgeC8aLl5ezIGeTPG8kLmGg65lIYqy6Q0meNzTW4cK27KtbzdLJ2BrFqJaOrN6Ji6ShzHHJttYHkh/TkDNwipWwFxCcYrNnctZkb+0iuvIlrMYFzJZtvH681krrc1ZmVw+EZs5bEgEcViW4tAcHkj/oYLBILzYqmbN2uo2F6I5YU4XkjFTly8BVNl/1DuWd1V3InWDGTGUNEUGUNLhJ3th1Qtn7yZ/D6dOKRjFhoef/jlpwB41bUDvPrQ8JZF+iy9nmJaJ2uo7dbzUpd5SlOQJYmUpnQMDl+PrTwWgO2FvPB3v8Ivf+ohas7mY5EEAsGlgagsCgSC82Kpm9dQZT52zynOLFj8h1dcxe17e/GjiCiK6cl03u18MbDSkbwyfzGIIhTgz75xnIrls7MnzZtuHiOtKx3bx0MFg75sqr3J5nzmATe7G/tCHQvgC49NMVN3ue/kAlld/OdEILhcEX+7BQLBebHUzTvf8DizYJHSZF50VR9pPam6nY+bdyuNGN3cw3DBRJGlZfmLdcfnyak6D56uoMoSv/CKq9ru6KyhLmsfJ9U5i9Pz5faxe3PGOc8DbuVu7KXHiknigcIwRlEkTE3ZtGP9Mw8k2Yo/eMsYsnxxjBcIBIKtR4hFgUCwIesJtqVu3v/zjeMAvPjqfmRJWrMdu/R4yqLICKN41bG3w4jRiZWO5KKpkU2pTNccdFWm7gT888MTAPzoC3ajqzKGKhPHMXEct9vHZ8oWX31yhpm6i6kppDSZtK5SdfxNzQMufT5uEKFItKueK9mMkaZVQV1oepQtj5rlEywGk+fTGqW03vWxzixYfOvpeSQpEYsCgeDyRYhFgUCwLt0ItoKpMVxM8eDpCpCsvWu6QccNK0uPV3N85hseEFPKGu1oml29GYAtNWJsxEpHsq7KSCTVxX/47jh+GHNoJM9AVufsgg3AAyfLz1xvHPPVJ2eYqDjs6k23429qdkAQKoDD6QV1w5Dulc9bkaFse1Qdn339qzMMN2OkyegKhqZw74l50rpCLqW1r3O+4XJmweK5e3q7OlZrD/QL9/UxVkpv+H6BQHDpIsSiQCBYk804Z+96bJogijk0mucHbxnr2DJeejxdkanYfjubT7F9CimNqapDzfZRZLltxGjRMmJ0ux1ls6x0JFteyO99/gnOlG0yhsKL9/cjyxIHhnKUMnr7WdRsHy+ImKm77OpNt1cHGqpCf05pB37P1VyafWvPA671vKt2wHTNAWC0mF4zh7EbYhLzShxLrS8s/7O03NzSqaocx8+IxbfcKqqKAsHljhCLAoGgIyudsy06CbY4hk9+5zQA73r+boodDBRLjzeUT3FstoHjRYwUk6rUXMOhYnvs689ycq7JQtPl4Eih47Vt1ojR6VrWa6u3jnl4fJZ/engSgJ9+yV5292bY3fuMMGs9ixNzDc5WLExV7hgjkzfVxOhiqGvOA673vPf1Z9vvaTg+Ycw57cZueiGeH3HDWIGpmsNC0yMmJq0p9Od0Suksrhe1n+taVeXJqsN4xSaXUnn1dUNdPnWBQHCpIsSiQCDoyGacs+WmhxdE5FIq33fjMLBakMWL0TOltL4qmgYgl9KoNn3sYiJUjs00CNeIcDmf1YHdzkEuND3+46cfBuBtt+3ghtEiGUPtWMHLGio1O6Bgam1TzLLrlWXcILnWteYBN3reo0WThutzcKSAocrnZPYJwoiK4xOEEY4bEhMjxRKGpjCYT5HWVeYaLkEYrVtVDsOYX3jFVeiq3HGOUiAQXF4IsSgQCDqyGRfujp403/xPL+fYbDMxdHQQZLoqU3N8Shmdphssi6aBVpZhQBjGmJoCEthuSFY/v+0oS+m2rR7HMb/2d48wU3fZ15/hl151NY+N19Z8FqamoCty2zltZJcLKD+KsP2Q/ry+ah6wJarnGy4NN6CY7lwl1BSZMAJDlTtWbrvB8kLGyzbEMb1Zg3xaxw8j6o7P8bkmo0UTVZZQZIkTc+tXlb/nukEOrVH5FQgElxcilFsgEHRkafZgJ1YKNlWROTCUawuyqapDxlDpzxlkjKRidXbBptz0lkXTtAiiCFWSUJRErBRNnYbbeddw2fLoza0WXuuxmUDqT3znNF96YhpdkfmjH7p5cRvN2s9CkSVKaZ20rmDqKnMNBzdIQrrdIOTUvMVg3uDAYH7VDOfh8Sr3n1jgkbMVjs82eHKq3vG+z1UgL73/2bqDpkhoioKhJvdvqAp92RS2F/DUTJ2ebCJWu60qCwSCyx8hFgUCQUda2YNly+v4ekuwTVbstujrJMgkCSJierM6IRFHp2ukVJlCWqNmPyOK6o5PIaNhagoV2+eakRw9GX3LtqN021Z/6EyF3/7XxwH4T6+9hutGChs+i9b1jpXM9kaYhabH6YUmJ+aajBQNXnpgYFlFcKWo3tGTpj9vcGre4thMg4YbEMcxlhdQd3wmqzY9We2c8yqTcQGf/QM50npiunGDkGhR0HpBRBDE9GVTSSj5GlXlj37tGPccn8f2w3MaAxAIBJceog0tEAg6sjJ7sJTWV7lwhwsmr/ngN1BliU+8+7kMFcxlgqzhJp9t5fmFEZyp2eTNGkN5k5oTMFGxAMiZGkVTb4ung8NJi3NlO3uzpo4Wa7XV4zgJp/aCiIWmx2//2+O4QcRL9/fz4y/Y3fWzaF3v4xM1npisUHN9ojCmJ6uztz9LPqUtO2cnM8vu3ixhBONlmyCMyBgKC5ZPzfZJGyr9uRQ1JzivcO/+nIGhKUxVbaqWTyMOUCWJoYKJpkjtsPGlG21anJhr8q+HJ/n8Y1P8r7feeM5VToFAcGkhxKJAIFiTldmDKwXbV4/MMNdwGcwnG0qabtAWZA034NhsA9sL2nl+aV2h4fhUbZ+coVFKa0RRjCTF5E0NCVaJwaVRNuezwaWTAGq4QVs0WX7IXY9P8fRsk56MzgfecuOyrST5lMqevgwn5hrMNVxUWUJT5GXXW7V9wiiiL5tid28WU1dQJInKYhWxNRO5VpUza6js68/iBRGPjlcpZXT6swZ7BzL0pA3qzvLjnOv9t85jL1ZsFVlCIplpbD3jpRttWnzpiWkAbhwrsKc/c85VToFAcGkhxKJAIFiXldmDSwXbX919EoAfft4uNEVuCxI3SNrFthfQl021jyVLEmPFNKWMRn8+xdUDmXZ1KggjvDBGX5xZbG1GWRplcz6sFEANN+DYTAPLC8mbKo9PVnnoTBWAd79oz7IK5FLDjh9GIEHGUNndl2G4kEKSpHa10PJC9vRll53bXFx72IoaWs88lDEUsoZMNqVycDhPKatTSmvIUvLec82YXHn/kiSRXrLPeelaxk6VVIB/PzIDwCuvHdz0GIBAILh0EWJRIBBsSCfBdvhslQdPV9AUibc/dwfwjCA5OdekZvnkUsurXzU7oD+nM1wwsdwATVXaeX5nyva2rvVbKoAmKhZly6fpJS3diYrNvx6eAuAHbhzhqoFsW5DVnKCjg3qh6fL4RI0giunJ6MuigTqx1BSyVpsXYK7h8vhEHcsPmajZVG2fclpjqJDMQ55rxmQ3rfSlAnBlVfk7JxaoOwE9GZ23P3fHlm7PEQgEFzdCLAoEgnPir759EoDXXT/MQC6pHrYEyWTFZrbhMloyiaIYP0rW3qV1haGCia4q1Jxgwzy/rV7r1xJAT0xWOTJVR1VkLDfgzsemFiuCGX70BbsJo5j5ukfDDTrOFgZRjOWFHJ+rcXK+wb7+LIaqtKOBOrE0aqhgah3bvA034OnpBtM1l739aQZzKYIoZrbu0XRD9g1kMTXlnDMmNxorWPmcl1aV/883TwDw9tt20JsxNn1ugUBw6SLEokAg2DQLTY9/fngCgB9dNIG0KJga148VmagkYs+SQ1RJoj+nt6tjjh92ned3ar7Bnr4sYRSf18zi0us7MJhjtu5SSut87tFJjk43MFSZX73jAJoiI0uJG7hm+6uqhUvb1/1ZgyCMkGWpHQ2UT2n0ZleLqaXRN52qfKoicXK+wUzdoT+n05dNocgyikx7ZeBU1W5nIZ6ruWS9sYJOSJJEwwm4+9gcAG+5dcc5nVcgEFy6CLEoEAg2zZefmMYLIq4fLXDzjuKq14cLKZ6zq8ipeYu+rIEiS5jaM4KkbHkMF5Nq5HqtW12ReeBkhfGKgybLW9ae1lSFnKFxet7iU/clO45/6iV72dGTrB5sCTtg2WxhHMdMVe1EKOYMwiimYntosszuvgxTVSfJKszoq8RX655bppCVVb666zNbc7lqIHFEt3Zmt8ibKlXLR5Gl8zaXbHYOdKHpccuuEhISe/oy53xegUBwaSLEokAg2DRvuXUH1w7nsf2wY0VKkiR292VpuCGNxfZyFIMfhMvm49bL82u4AacWLOYaLrt60/RmjS1rT2d0BUOT+f0vHiWMYl58dR/fc+1g+/WWsMub2rLZwpVrCpcGiUtIXD2Y4/HJGifnmwwXzI4zga17a1X1Do3ksfyI+YaLhMRYycT2I47NNphrOIuB4DJRHDPbcBkumhfcXHJwJM9n3vsCHF+EcAsEVyJCLAoEgnPi0Oj6q966mY9ruEFHo0ergtdwfPqzBpmUumzbyrk6gpfyl3efYr7p0ZfV+ckX7ukoZrOGumy2MIziZWsK645PX85I1hOSmFhGSya9Wb0dI7T0ngEOj1c7Gnl6swZZQ8UP43a0zTMZlQFRGNOf07l+bOtmODeL2AMtEFyZCLEoEAg2Rd1Z7XJei43m49bK82tV8ID2VpelnKsjuMWn7z/DFx6bQpUl/tNrrgFoZyeuNHssnS1MqQoS0HQD3CDE1FWG8iZJSmHSvi6mNG4YKyJJ0rJ7XstV3aqUXjeSX/YssobKVQOLWYhhzFzDZXdfmuFCaq3b2ha+fnSWQ6MFetYw7ggEgssfIRYFgiucOI67Njs8NV3n9X/8Td548yi/88bru6rqrTcft1acS9MNmG24DBZSy8RYi6XO4s3y9Eyd3/jnxwD4j3cc4AdvGVv3/pdWSOfrLnEMsw2Xvf0ZhvLmsntrta+zhrrsGGttbFlaKT1TttjVk171LGQkqq5Pb9ZgV2/2nCupm/k+t2i4Ae/9xAP4YcSdv/QS9vVn132/QCC4PBFiUSC4glkaNt1NvuFfffskjh9RbvpbNjPXqV3thxH9OZ0dpXRHobnUWbwZHD/k5z/5XRw/4sVX9/HTL9nbldljaYV032CWo9MNwsVrCBevt1NWYYtu91Lv6ctuKtqmWzb7fW7xuUcmsbyQvX0Z9gpji0BwxSLEokBwhbLZfMOK5fH3D4wD8K4X7NrSa1nZrlZkieOzSd5gJ1Y6i7vlv/3r4zw5Vac3o/P7b12+zm8jWqIya6gUTH1Tgm69jS2wvFJaTOtbtuIQNv99Xsqn7j8DwA/eOia2tQgEVzBCLAoEVyDdtEVXGkg+ee9pbD/k2uE8t+/tXXW88xU3Kyt8LTd1N9tGuuFfH5ngr79zGoD/9bab2kHi58JmswrX29gCqyulW7Xi8Fy+zy2enqnzwKkyiizxg88ZO+9rEQgEly5CLAoEVyDdtkVbBhIviNp7oN/9oj3LhMW5tjg3YrPbRtbj1HyTX//7wwD87Mv28ZL9/ed8XS02I+jWMvK0ONdK6UZs9vu8lE/dl1QVX35ggIH8hTXVCASCiwshFgWCK5DNtEUB/u3wBNM1l4GcwetvHGm/b7tX9W22gtcJN0jmFOtuwK27Srzve/af8/WcK5vdy9yJc6nebvb73MILIj77YDJy8LbbxMYWgeBKR4hFgeAKZLNt0Y99+xSQrPZbus3kXFucm+F8W7K/9/kjHB6vUkxr/NEP3XzOa/LOl/OplJ5r9Xaz3+cWj05UqTk+AzmDlx84/yqsQCC4tBFiUSC4AtlsW/RP33krn7jnFO947s72e86nxXmh+OLj0/zfb50A4PffciMjxdX3eiE5l0rp+VRvz7X9/ZydJe759VdyfK75rIlrgUBw8SDEokBwBbLZtmh/zuCXV7Rvz7XFCVtjiNmI8YrNr3zmYQDe8+I9vHLJOr+tZjP3s5lK6flWb8+n/d2bNejNGl0+AYFAcDkjxKJAcIXSTVu0JX46ca4tzu0yxCzFCyJ+/pMPUrV9btxR5FfuOLBsH/NWitP17iefUs9LFG9F9Xaz7e+GGzxrlWCBQHBxIn4iCARXMBu1RX/zXx7j6ZkGv/aaa3jOztKyz55Li/N8DTHdVvB+784n+e7pCvmUyu+88RBHpuvbIk7Xu5+pqkM2peL50Tmf93yqt0vptv0dRTGv+8NvMJRP8YG33MjO3nR3D0IgEFzWCLEoEFzhrNUWXWi4/N0DZ3H8iIrlE8fxMnGx2Rbn+bZUu61I3vnoFH/+zWRO8b+94RAVy98Wt/Z695NLadx7Yp60rnDjWBFDU87pvCurtzFxe1e0oiRLELvdZNNN+/ue4/OcXrAoNz36c6IFLRAIEoRYFAgEq6jaPn/wpaM4fsTOnjRSHHN4vLpKmG2mxXk+LdVuK5Kn5pv86t89M6e4py+zqvK5VJyemm+wpy9LGMWbbhOvdT8xMZNVG1WW0GSZGJAlaV1RvFbFdGn1NpfSmKza1CyfII5RJQkvjLh+rLhl+YytjS3ff9MI5hZnPgoEgksXIRYFAsEyqrbPQ6fL/MvDkwC8+TmjZFPamlWxbluc59pS7bYieXV/lp/96wepOwG37Crxsy+/iodPVzqK05iYMIr45lPzHJttktVVNEWmlNHoz6VI68qG4nGt+7H9kJrlU8roWF5IGMXLXl8pijeqmO7qTQTvvSfmUWWJUkZHB8rN5P11x6fmBOffUrd8Pv/oFCCyFQUCwXKEWBQIrnCWVrUUWeLkXIMvPzlD1fbpyei8+Op+NEVet1W8XouzdfymG+CHEa4fYuqr37uWIabbiuTHv/04j03U6Mno/PE7bkaCjmKu4QYcm23w5GSNhaaH70eM9pqYmsLR6TpBGDPWY5JPaevOGK5l8AnDmCCO0QFVklBW7J9eKoq7qZjmUyrZlIqpK+iyjOWFqJLESNFkqGBSd/wtybP8x4fG8YKIa4ZyXD9aOOfjCASCyw8hFgWCK5iVVS0/ipgo29z12DQAP3DjCNoS8bbZ7MSlx/fDiKmqzZmyxfWjxVWfXyvzr5uK5LeenuPT959BkuCDb7uJ4YJJww1WibmGG/D0TJ3jc02CKGKkaFLMaExWHOabHr0ZDVmSCKKYtK6sO2O4lsFHUSRUSaLc9BgpJiJ0KS1RrMgSJ+Y2rpju7s3g+RE3jRWJgTCKUWQJU0uqnqosnXeeZRzH7fV+b7ttx5bHGAkEgksbkbYqEFyhtKpaU1WHjKHSnzMwFJn7T5WZqjlkDIXXHBpa9plu3bedjj+QT7G7L4vthdx7Yp75hksYxTh+yGTVXjPzb2kFrxPH5xp87J5kw8x/ePlV7b3PLTFXtjzgmVnCqu2jSck8YSGlkU2pRHFMwwmIY+jJ6NQsnxgYLpg03YDTC03ieHk7uWXwyRgqk1Ubx09azhLgLQrcoYK56n7KlkdvLqmSdlMxrdk+QRRjaAppXSWX0kjravu4m/medCKOY75zYoHHJ2voqswPLFnnKBAIBCAqiwLBFclac4CZlMqtO0tIQMZQ16yKbeS+Xev4fVmD5+7p5fDZCifnmoyWoqTFvc7Ku/Uieiwv4H/ceQQ3iHjBvl5+4ZVXL8tT3NWTbru1DU2m0vRQZYmy7dGbMejN6nhhRNMJ6MvqNJyA3qxOEMftWcOV1dSVZpTrRvKcXrCWzRxeP1ak7vjUHT8xunRwiYdR3NUMJ3BOeZbd0Kr81iyf97x4D+Wmz9mKjaLIW5Z5KRAILn2EWBQIrkDWmgM0NYVSVue6kTwZXcX2Q9JL5gvXahV3e3yArKFy084i802PgyN5Cml9w40nnSJ6vCDk9+58kqmaw0DO4LffeIjHJ2urjCI7e9OUmx6n55ssNH0yKYWSqTOYT2HqKk0vICTG1BQaboAbxMtmDVfOGHY0o/Sk2dufXWbwqTkBJ+caTFQc3CDCUGVGSyl29WYpmFrHNvlSWiIwb2rntLJvI5bNS2Z0vu+GkS2LFRIIBJcXQiwKBFcga80BRhHteb/pqsNON8BQFfwwYqHposgyBVOn6YXn5BRuoSsKmiyTMdSu5uw6RfR86YlpHjxdQZUlfv+tNzJZcdY0ilw3kmcwnwIkcobKfNNlruEDoMigIOH6EQoSTS9gbMmsYUu0WV7YnjFcy4xS7NRSlp75/6Wd7G5DzbOGes4r+9bifDMvBQLBlYWYWRQIrkA6zQEena7zno/fzzeemmVHKU1fVscNIuYaLjM1B8sPcIKQo1N17j+xwOHxKlXb7/r4SzmX1mkroufWPT1IEnzmgbMA/L/fdy0FU2sLn5SmLMs1bLoBZ8oW/YtVRjeMGC6mSesKs3UXANNIzCx+HFE0tWWzhmXLoyerMVt31j3H0rnGVtVuuubSlzHY05ehL2MwXXN5dPG5rTXz2GmGsyWWhwopmm7AXMNNrqWYOqcK4NLK7+/d+SR/98BZmm7Qfn1p610gEAiEWBQIrkBWmj8APvPAGWbrLk9O1fHDiFt2l3jR1X3sH8pi6AppTWUwl6I/Z5AxVKaqTlv4bHT8mBjLD6g7PpYfsNB06c3pm26dSpKE5Qb8588eJoxifuCmEd70nLGujCKWH7XFWd3xGSuZ9GQ0anZA0w3QNZmetM6OUhpTU5aJtr5sinLT7ypQfGXVbj1hWTA1rhvJkzdVpmsOZ8sWDcfvKAKXiuVbd5e4dU8Ph0bOrVXcqvyeLVt88+k5/vo7p9rzkXD+phmBQHB5IdrQAsEVyMo5wIYbcM/xBSTg+Xt6iOOYvmwyB3dizieKYkaKz+wJ3qhdufT4x2Yb2H6A7YY4QYTthwzkDA6Obr7F6YcRP/fJB5mtuxwYzPH+N12PF3Qf9l1M68va2QVTI2OoXD+Wpzdj4Pgh5abPXMNdtokmjrszowRhRNPrzuXcXAzsPr1gYXshMYmTOm2o7CylO4rAblb2dUOr8tsK4b59X++y852PaUYgEFx+CLEoEFyhLJ0D/L3PPwnAgaEcuiLjBhFHp+qcXmgy1/AYzKU6HmO93MWCqbGzN83x2QYzdRdTU0hpMr0ZHUOTOT1vkU9pFExtzXV3K/mdzz3BfSfL5AyVD//Ic0jrKlHcnVGkJXzW2ziz1nV0a0ZRFbnrTTULTZczC3Z7BrInY+AFyRzioxO1czaYdPMsM7pC2lD4+lOzALz6uuURSedqmhEIBJcnQiwKBFcwBVOjlNa558QCAN97/RAHR/IYmoIXRJwtW5wpW5TSekeRtF67Mo5jyk2PgZzB/sHcqjDpVlVyZynNqRXRM502p3z2wbP8xbdOAvCBt97I3v4s0L1RZKnwWatCt9bXN3OOprdx1I0i0TbkbKXBZKPVgUvv84nJOo4f0Z8zuHog2Y99PqYZgUBw+SLEokBwhfOnXz9OGMVcM5TjZQcG219PaQojRZPjc03OlJscHC4gsVw8rNeubJkoejLGMtEUxzGWl1Tqjk7Wmao6xDFrOowLpsaj41V+/bOHAfiFV1y1rBK2VrTOVgqfzZyjG2FZSKtYixXFTmx2Uw7Q1erApYLxHx8aB+B1h4awvZC6EyxrvYvYHIFA0EKIRYHgCqbc9PjU/cmat7feuqP99TiOsf2kldmX0RlfsNnTlyWtdbeiDzrH5zTcgKmqTdXycYOIE3MNRoomt+3pbQvKldW1kYLJT3/8Adwg4uUH+vmlV+1fda5O0TpbLXy6PUc3wnK4kOboVL2rGchu2GwUzhOTNb67GDv0cy+/irShbjgCIBAIrlyEWBQIriBWzrMV0xp//qO38snvnOY5O4vAckEXxDGuH7LQ9Hh6us7+wXzXVbul8TmpxcDrYzMNLC8kb6rEi9cTRDHHZhrsG8guq6KV0jozVZff/tcnGK/Y7O5N88G334wsdxYy680ibhXdnmOpsJyvu+0Imv68zoHB/Kpns5LNGkzWC0GH1ZVKXZV5w03JWr+BfOd5VIFAIGghxKJAcIWw1jzb3r4M33/jCAtND5AYL1vYfkTeVNEUmaYbkDF8bD9iuu6QUpWuqnZL27FD+RRTVRvLC+nPGQDM1ByyiyaYhYbPVNVmX3922c7jT91/hu+cWCCjK/zpu27dsEK4VW7hrThHwdTY1ZPG9kKaXkAMWG7I6QWLnT3pLd3K0q2pplWp3Nef5YNvv3nVvmuBQCDohBCLAsEVQKd5tqrtc3y2wUNnfBpuSMPx8YOYIIy5ejCLoSZCxQ1Crh3JY6oypazO/oEcmqpsWLVb2o49Od9kpu6SNVTcIKTu+KQNFVWVCcKYvKlStfxl6wX//cgMdz0+DcDvv/VG9g/mtv9BbSFV2+fRiRpNN2Awb66aIdzZm96yOctzrVSKdrNAIOgGEaIlEFzmdAqJnqu7/PTHH+Bv7z3D2QUHU1UomRoLTRcnCDk1b1GxPOYaDqauMpQ36c2msN0ITVXIGmpXQqPVju3N6lhugOUFOF5Ib1ZnT1+GfEprZxoGcUy4GAz99EyDD331aQB+9mX7eM2h4VX31HADKpZH3fGpOz4Vy6PhBhdFtaybYO6K5XFoJL8lW1k6hawvpWx57RD0D3/1GEem6lt1qwKB4ApAVBYFgsucTvNsn77/DLYfMlVzeEN/BscLGSqYTNZdZGDBconiiL39WfpyBrIMqiIRRDF+ENKArucCC6bGDWNFak6AocggJcaaM/MWDS9gpuYyVXXozxlIwGTV5rf+9TH8MObFV/fxH+84sOx4S9vpNcdnvuEBMaWsQTGldYyKudB0O0O4py+7JXOW3bq1H5uo8Xt3PskffPEI9/+X76GQFo5ngUCwMUIsCgSXOSvn2aZqDl96YgaA1xwaQpVlgjggbajsKJpIskSPGzJdc6jaiSlClSQMXUaRJY5ON7C9cN0cv5VkDZXRosnx2SYNN8D2AnIpjZypkdVVHp2oMtd0OVOx+OjXjlOxfPb2ZfjQDz8HZYmhZWk7XVdkKraP5SU7jRXbp5DS1oyKuZBsZoZQktQtmbPsxq39/ntOAfDaQ8NCKAoEgq4RYlEguMxZOc/26fvPEMYxe/oyXD2QS+bZJImMoVJI64yXbRpe0jLW1TQFU8cPI45O14mJ0WSZsVJ6wxy/pUiSxK6eNA+fqTBRcdjVm0aTk8qXF8bcuKOIKsO/PjzJsdkmBVPj//7YbeRSzxxvaWt3KJ/i2GwDx4vaawjnGg4V22Nff5apqnNOodZbxVa7nbtlPbd21fbb2YrvvH3Xlp5XIBBc3oiZRYHgMiejK5QyGpNVm6dn6nz5icQ08ooD/fhhRN3xKWQ00rrCcD5F0wuYrjhkDA1DUfDDiKrlYyhyEsktgaHJq2bwTi80150XlGWJtKHQn9Wp2D4LtovjhfTndK4ayPHEZIOvPzWHIkn8/ltvpJjWls0gLm3t2n5I1fLJm8/8vptLaVSbiUlmaVTMs8FmZgi3mpZbu5jWl82WfvbBszh+xIHBHLfuKm35eQUCweWLqCwKBJc5NSeg6YWcXbD550cmiGLYP5hltJTm1LzFaMlkKG8iISErEoWURjMVoMsSlh+ghTJ5UyUiEUHVpo9dDJcFdK+3cSSOYyarDofPVnhqukGPqSIhkVJVRotp+rI6D5wu84nvJC3SH3n+TlRJ4v6T5WVt7lYmo64mcT5BHKMtqcy12ulhGGPoyqZCrbeaC7FVZjPEccwnFlvQP3L7LuGCFggEm0KIRYHgMmbpjN/uvjQn55sAXD9aoGx59GQ0soaKKkuEUUzTCag7ATt6TIYLJmldJWMoyWtTdVKaQs3xCcMYlnSc19o4UrV9Hp+o8eDpMpWmR9XxUWToz6Rw/JCJqs1C0+MDXzhCFMMNowWes7NI2lAI4xjbDTk516Rm++ztz7Zbu4osoUoSfhi1I36CKGmnK4q0bW3ezXAhtsp0y7ePz3NstklGV3jjzaMX7LwCgeDyQIhFgeAypdMKuI/+8C184+k5XnHNAHMNl76cTkZXKTd9giimavv4YbQYwO2iSh6FtEbB1FElCccP24JsKZ3EWdX2OXy2wuMTNYhjDgzlODnfZKriEEUSYyWT2brDx+45TdMLGSuZvPb6IfpzKc6WbWqLG2RUSWKq6qBIEqWMxnTNZSifopDWmK179OcSsVh3fPpyBqamJGHXmwi13i4uxFaZbphrePRldV5zaGjbQ8sFAsHlh/ipIRBcpnSKb+nJGvzATUllqbWd5frRLNKAxELT48hkjb6sThDFlNKJsWW27tFwAjRV5mzZZv9QFnPRtNHaIT1RsRkppUhrcvvrp+abLDQ9dEUmb2oossxIwSSMYLbmQBzxb49OsdD06Mno/MBNI+zsSXN8rtl2S7dat81GwINnKrzq2gEyhspUzaGU1qk5ARMVC4CcqVE0k60oF7rNux4XYqvMRnz/jSO85rqhtnNcIBAINoMQiwLBZUorvkWV4ZGzFfb0ZVBkCVNLKlut1nEYxRRMleOzHjFww44Sx2YbLDRdcimNnozOdM0mipP3SUi4foQbRJwtW4xXbDRFQlNlHp2osas3Oc9CwyNrqMzU3fZsoamr7CiZyFLMvz4yxekFG0OV+cVXXIWhycw3PWq2z0gxmaEEMFSFobzJ8bkG802XQyMFTi1Yi0JYI4piJCkmb2pI8Ky0ebeClXu7t7oCqasyuto591EgEAjWQ4hFgeAyRVVkXD/k7x+c4RPfOc21QzneessYxYzOUMFM2saLreOlVciUprCvP8tktdUKDtBkGV2TuH1fH24QcWbe4vhsEy+KGC2l2FHKoCtyO0ZnR0+aIIrJpJRVs4WmrvLUdJNTCxayBD/2wt3s6DF58FSFqZpNztAJo5i+rNFe/edHEXlTo2oFKIq8rLXbymEMo/hZa/OeL2vt7T7fcPEgjPjWsXledFXfsrxKgUAg2AzbOv1dLpd55zvfSaFQoFAo8M53vpNKpbLuZz772c/y6le/mr6+PiRJ4qGHHtrOSxQILlvCMGK24fKvj0wCMFoyMQ2V2brHsZkG4xWrHd+yMkQ6a6hcNZDl2tE8B4fzXL+jwGgxzWA+xaGRPH05g7Eekxdd3cfB4QL5lLYsRmeyaqHIoEgS+bRG3fHb1/XAqQXuWozvecNNo+womXhBRE9GB5J4nartc7Zit9umNTugL2skawHDaFk8TC6lkUtpq6JitoqlqwW3Y51gy4TUap/354yk1V51eHS8StX2Nz7IGnzpiRl+9P/ey5s/fPdFsQZRIBBcmmyrWHzHO97BQw89xJ133smdd97JQw89xDvf+c51P9NsNnnhC1/I7/7u727npQkEly1xHFN3fB6bqPHwmQoV2yetK7zoqj5UOYnBGa/YNNyAHaU0kiQtC5FuISGR1lRyKQ1VltEUGVWRsfwI2wsZK6VJa2q7XdyilNaxnJC0rlKxfIYLJqauMtdwODJd42/uOwPA8/f0cNOOQrLdpZRhd1+GtK5Qs30yuortBUzVbGbrDmldoTejt6/hQlG1fQ6PV7n/xAL3nyxz/4kFDp+ngFtKNzukN8qvXI9WXM7t+3ovuWqrQCC4eNi2NvQTTzzBnXfeyT333MPznvc8AP7sz/6M22+/nSNHjnDgwIGOn2uJyZMnT27XpQkEly2tduZ42eaRsxXuejyp4L38wADEULE9VEliV59J1tDawiutyaR0mbNli5Gi2Z5rbFG2vLa7uGr7G66yC+NkdjCIYmp2YmB5smbzl3efJIxirh7I8p6X7MXxQgbyKQD6sgbXDOV5arqB44dEESzUPUaKJrt7s9Qd/4I6nJfGDpXS+qY21nRLtzukO+VXbsTR6TrffHoOWYJ3PHfneV2nQCC4stk2sfjtb3+bQqHQFooAz3/+8ykUCtx9991risXN4rouruu2/1yr1bbkuALBpcZScWOoMo9N1Gh6IcW0xq27i+zsTZNSFRRFQldk5hseQRi1BeZcw+NM2eL4XJPRoslYKY2hyqtCpBVZwo8i5hsumZSaCMsl1cVWjE5PxkCSJO47Mc+RyTqfvO8Mjh8xVjT5wFtuYGdPmgdOVdqiU5Ik9vRnCaOYiu2T0mScIGQga1B3/AvqcO4UOwS0K36TVXtL1gl2u0PaD0Iai+/vdi7zL751EoA7Dg6xoyd9ztcoEAgE2yYWp6amGBgYWPX1gYEBpqamtuw873//+/mt3/qtLTueQHApslLcTFZt7jm+AMD33zBCECYZin39BhKLeYmyhOWFnJhLPjeYS1FK65xeaDJesZmtueztz7CzL912F1dtn5NzDaYqDnMNl/6sQT6tMVww25WvVhUyDCNOz1soksQXHp+m7gQM5gx+5qX72vN5isSy/clZQ+WqwRxTVZuZuksQxHhRzFjJbF/DdruGYXsrfkvpZoe064ccnW5ge2HX5peK5fEP3z0LwI+/cPc5X59AIBDAOYjF3/zN39xQnN13330AHX+Ax3G8pT/Yf/3Xf533ve997T/XajV27NixZccXCC4FVoqbphuQTakYqsyNO4rJfucla/rKlsdQwWC2bjPfcOnN6DS9AE2R2NOXYU9fhsmKQ38+xXXDeWRZpmp53HeqTN32GSwYyAo07ICmF7TnH/0wImOo7CilObVgUbN9PnbPaU7OW+RSKj/xoj34YcQjZ6tMVGzypkrV8dnXn2vfS9ZQ2defRZEl+nI6148W28aV7XINr6Tbit/5rhNs7ZCeqjrLKpgtxisWDTdAVZJKbbet8L+5N6niHhzO89w9Ped1jQKBQLBpsfjzP//zvP3tb1/3Pbt37+aRRx5henp61Wuzs7MMDg5u9rRrYhgGhmFs2fEEgkuRleLmqoEc/+utN/HI2QrzDY+MoeBFEU0noGolLV1DVbj76TnqdsBDZyq4XoihK/TnUgzljcSo4gZYfkQQBnzlyWlOzFkUTA1VSnIVi2kdP4iYrjpEUcRzdpXY1ZsIvfm6y989cJYHTpXRFZl3PHcnsgQpXWG0ZFJ3AvwQ5hrJGMloMb1sf3Jv1uC6kQK5VCKGtmKGsNuqZDcVv61YJ7jeDumFpkvdScLJR4rPtJG7aYU/eLoMJFVFYWwRCATny6bFYl9fH319fRu+7/bbb6darXLvvffy3Oc+F4DvfOc7VKtVXvCCF2z+SgUCwZp0Ejc9GZ1bd/e0W7qWG+CGEWMlk2Ja5/HxGuNlm5hERGVNDS8ImW+6BGFEzQkopTUWmh5Hp+qcmLPozyaxLn4YUXd8UprCzt4MO3vTuEHEnr4suZRGxfL4x4cn+PKTM8gS/Mjzd9KX1enLJmaWKIqx5JCdPWlm6m4ST+P4hDEd9yd3M0N4ar7Bnr7smnmLm6lKblTxW2r4OV/W2iFdzGj4UcxgLtXxc8W0xtmyTU9ap5DWl93vn77zFu4/Veb60cJ5X59AIBBs28zitddey2te8xre85738NGPfhSAn/qpn+L7vu/7lplbrrnmGt7//vfzxje+EYCFhQVOnz7NxMQEAEeOHAFgaGiIoaGh7bpcgeCSpiVu/uXhCRRJ4jWHhlFkqWNLN6MrHB6vUrFcvCDEC2OGCyaSJJHRVSq2R0wSvxNFEePlJnXHp2BqZAwVWZIwVAUjqzDXcKg6Hrt7M8w3PMIoiXj57IPj/NNDyd/hH3/hbnYU06SWCCs/ipId07LEaNGk4focHClgqHJHobfRDKGuyDxwssJ4xUGT5VVCcLNVyfUqfisNP1tBpx3SfhBStysdW+ENN2C8bHFmwcL1I4qmtux+JUnitt2i/SwQCLaGbQ0s++u//muuv/567rjjDu644w5uuOEGPv7xjy97z5EjR6hWq+0///M//zM333wz3/u93wvA29/+dm6++WY+8pGPbOelCgSXNJIk0ZPR+dR9Z/jI149z56OThFGM44dM1ZzFlm6RXEpjquby4KkK0zWXyZrLdN1hqm5TdzzsIERVJOq2jxdEeGFMuenTmzHam1iWkktpVJs+Ncdvt2U/d3iS//ZvjwPwukNDvPKaQYI4bq/8gyRku5DWMDUlidqJwFhsa3cK1l5vhrDhBpxasJhruBiKvDrU2vK6zjJcGsCtyBKHRvIMFVI03YC5hpsco5jakticTt/DVtB41lDRVGVV9mXrfo/NNpiuOaQNlcH8M/f7jaOzjFfsLb0ugUAg2NZ1fz09PXziE59Y9z0rw2Z/7Md+jB/7sR/bxqsSCC5P/u83T1JzAkaLJrfuKjHXcFe1dKuWx30nFzhTtujL6AzkdOabHk9MNVCBQkbDVBTsIOT6sSK5lIoXxuRNlUJaY7bu0Z97pkKoyjJBHLDQ8LhqMMtDp8v80t8+RBzDD94yxhtuGmGu4RKFMW4QIksSNTsgrSsMLVYz/SDccP5vrRnCOI6Zqto0HD9pkafUZUJwsmpzZLpB0/E3dDZPVhOH98o29c6eNHv7s9vqvu5Ep1Z4TMxk1cb2AjRFoT+nk9ETcT1cMPnvn3ucX/27h/ntN1zPm28Z2/ZrFAgEVwZiN7RAcBlwdLrOX337JAD//Y2HuHV3zypxU7E8vvLkNEemGlhuwHgQMlv3qDg+gR/SCEJsPySfUjE0hSiKk3azKuOHMUMFk6YbMlt3yZsqmixjeQFV22dXb5qZmst/+Jvv4oURrz00xO+9+QYabsDJuQbzDZfxsk1/1qA/l+ymXhm1s97831ozhLYfUrWSbSqFTFKpXEoprTNdswGJnmxnI5ymyNQcn8NnK0iStGaburiG2NwuOrXCgyhirubiRxEFU28LboBy0+O+k2XCKGak2HnOUSAQCM4FIRYFgkucOI75zX9+jDCKuePgIC87sDrftGr73H+yzIk5i9FiClOXmShbTFQcmp7PrsX5O9sPkSXozejUXQ9ZSjNcMJipewwXTPYNZJmq2lQtn0acCMXhQoqq5fNb//I4lhdy3XCed794Dw03oGBq3DBWpD+X4vDZKm4QMpRPoasKjh92Pf+31gxh0w2YbbgMFlIM5c1Vqwc1RSYGJFjT2ewFIfMNj96szp6+bPvrKU1hKJ/i5HyTxyYqyyJ8LhQrzS8V26fpB+zqzSzLtgS487EpwihmX3+Ga4fzF+waBQLB5Y8QiwLBJc7nH53i7mPzGKrM//t9B1e93nIS12yPlCaDJJFLaThBTEyEpijMNT0KpkoQRvTkkjV9iiSjKzIDeZOmF7VF2u7eDPVMwHzTZSBn0HQD/vvnnqDuBlw9kOU/veYa5hsejl9tz/aNFE0yhtoWPTUnWNYiz6dUGm6wbqu3k2vYDyP6czo7SumO4dh+GJE1VExdSSqYK5zNcRxzcr6J7QcUzMyyHNiGG7Sd5MdmGlTtpMW/1ZmOG7HU/FK1PAxVpjejY+rP3K8fRnzu0UkA7jg4eEH3ZwsEgssfIRYFgkuYIIx4/+efAOCnX7qv41q3phdyesGi5vhMLNgoqoMsydRtHwkJSYqo2h6OF5DSZUxdZqSYGEFiJNK60jHaZd9AhrNlh//1pacoWz6jRZPfeP11bSG1Mgewk+M3oyvUnIDD49WuIm1ax2i4ATXbJ45jShmdquUByUyf7YeEYYyiSFSaSYu7N2PwqFXjxFyjXdmsWB5HZ+rU7ADHT0wjpXTS2gU4NtPAWtzQIktgKPKW7oXeDC3zS0ZXmG96TFWdZWLxq0dmqFg+xbTGHdcNXrD92QKB4MpAiEWB4BJGVWT+9J238sdfeZqfeem+ju9ZaHocn21gKBKlrE7TDQijiAXLw49iSmmDUjpGUyTSukrB1BnIpqh7QfscWUNdJfTmGy7v/cSDzNSTCuP/87prkCWwvABTUzquxGuJnhbnErRdc4JlwtX1QxYsj7mmhyyB7YY4QdSev5RliYWGjx2ElBsu8w0PU5dZaPioqsR1IzkmKw6KJHG2bDNTc9AUhSCK6M+lcIMQTZbJpFTSmspExeLIVJ2rBzJoqkJakxeDy7ffANOpHa/IEn/3YLLa73WHhtnbnxNB3AKBYEsRYlEguMS5djjPn/zwczq+FscxExULP4wZyKXIpWJOL1icWrDQZIlIlWk4PmlDpSeTYrRoYgchMw2HGOjP6+0q1VKhV7V8furjDzBRcSilNd7z4j3M1lwmqw6qJFFIa/QvtrPXWonXTdD2yg0la4nLquNzdKqOvhi/k9JkTE1hpu5geSE3jhXZ05thpJBismIzVXPoyeocHElm+xaaPsdm6iiyzEzdxfVDrhrMkDFULC+gL2dgagoNN2DB8jgyVWem5iABbhiiqwqpxaib7Vg/uJSV7finZxvJrm1d4edecdUFrXgKBIIrAyEWBYJLEMcPOTHX3NDI0PRCbDdktGhSswP6cwYDOYOpqk1K1wgcn7ofkjUgl1JAAl2WODbb5JZdRQ4M5ldVqRpuwI/+xb0cmaqTM1R+6Lk7iGOJlK60g6tn6x5ly2Mwl1pzfm6joO2Vlcm1xKWhJsIwpSns6kuzsyeNIkuMl22CSCeOJcqWR09Gx9RUhgomT882KaST2K6mG2J5AW4QI8shRVPltOMxW3NZaPrs6cswlE+c4MdmGzRdH1WR0RSZ8Yq1GCdkcGAoh36BWtVLW/o37Szykv39nJ5vMlpcvW1GIBAIzhcxBS0QXIL8ry8d5fX/+5v8n28cB2iHSZebLtM1h3LTpeEG+EFIGMOOnjRpXWG27oKUrJLb05cml1IwdRlTk5iqOhyZqnJstkEmpfD8fX2r4mJsL+Qn/uI+HjpToWhq/PRL9xDHEv05A0NV2ttd+nMGs3UPL4pIa51/zKwXtA0k4eCuz3wjuZeGG3QUl634nJGiieslrWBJkqjbyV7lvKlStXxsPwQgjGJMTcFyEpE4VbWJY4mDI3n6sgYx4IcgyzKGppDWVdK63M43LJg6piaz0HQJQtg/mCOMImbqDoYmrwr63i6WhnjvH8zxqoNiw5VAINgeRGVRILjEOHy2yp99/ThRDLt7M1Qtjyen6pxasJip2YRhTMbQGC6k6M3pOEFIwdTasTfTNRfHi5AXXdGKLDNSMpEkCMOYGOjLGqtFmRfy7o/dx70nF8gZKh991y3M1l1mai5zDYdcSktCuqNkb3R/zkBTknm+rLFaEK4VtA1J9fLEXJ2JsoPlhuRNjVxKoeL4lDLLryuMYoI4Jq+p1ByfMEwEWntrTAyNOGivIlRkCUOVcYKIppMIzbypYqgKO3oU8qZKTEwxbTBaTOF4EWXLp2b55FIaNTsgl1JwvJC8mfwIbW2ysYshaU3tOK+5HUxW7Y67qwUCgWArEWJRILiE8MOIX/v7R4hieP2NIxwYzvHPD09wZsGianvEMZQyBkgBUzWbmuNTcwIaTsDBkTz7+rMMFVKoChydqqMpEjfvLNKfTREBigR1J0CSYK7hMFxIJfmLXshP/tV93H1snrSu8Jc/cRv7+rPU7YADQzmmaw41yyeIA1RJoi9nMJBNYfvhmjOLawVtN9yAR8erSZs7pVK1fSq2jx+GuEFMIaXRtyRgW5ElVEnC8cNk37SStM2Xrids7aEGMDWFjKFSsW2QWLaKUEIiCGOuHS4QRjFVOxGZjhdi+SFuGJHRVfqyRjL3ufi51iabMIxBS/Id15vXXIs4jle5xdcyqxydrvOaD36dV107yId++DkiLkcgEGwbQiwKBJcQf/r14zwxWaOY1vjlV13NV5+cYaJso6syaV0lY2g03QA/jJipuWR0hTCKGC83qdoeY6U0they0PQ5NW8hyxJ5MwnGTusKcw0fQ5UZK6WZr3s03ADbD/m5v36Q+06WyegKf/Hjt3FgKE/V8vCjiJysMFI02/N5rWO5foS/KHo60cnZqyoST0xWeeRshXxKY0fJxNAU3CDEC2C27nB4vMLLDgy0A7hNTaGQ1jg63WD/ULa9xSWf1phvuIttcr39dUmSSGkyg3mDhuO3d2grskTd8TF1tR3OfWq+yUzNaWdA9mZS7OzNIEvPiFFDTZzTS4WqH0YbrjBcSdX2V8UTrWeW+dPF6rKyyfMIBALBZhFiUSC4RDg6XecPv/wUAP/f9x1kpu4wU3cZKqYYX7DJGBq6IhPpCsdnm0jEaEqKXb1p6nZA3fH52tFZ8ikVTZEpZTWiCE7MNTk+26Bg6vTnDPqzBhMVG9sPaLoB//vfj3Fkuk5Kk/nFV15NxfL5xlOzKMDx2Qb3NhwGsiaaKqNKEvm0xnDBpO74G67xW+nsrTkeT8/UKZkaO3szNNyAyapDFMfIkkQcw0TZ5sRsg5Fium2okSQopjUkJFw/Su4vrXNmwQKglM4SxeAHydaY/lyKW3anWWgkJpaJSrKKsC9nMJR/ZjNKKa2xpz/N1f1Zjs40qFp+22yzdFd23fHbjmnoboXhUjYbITRZtfmnh8YB+KmX7N30v0sCgUCwGYRYFAguAdwg5Bf+5rt4QcTLD/TzPQcH+dqRWUwtaVOGxKiKRExM1fKQJNAVmTAGRZYxDYWSqmF7MYN5Ay8IyRva4r7hmKdn6jRdn+GCQSGtYbshT07W+eR3zjBRdTA1hR967g4en6zx2HiVPX0ZsimVStNjsuLRcEKuHS6gazKTFZszCxbXDOXozRhUbX/dlupSZ++ZhSZPTNbpzRjMNz2cICSrqyhyMjMZRTF1N0ACmm6wJCA8yy27eyg3vWWVuefu6SUmxvMj5hrusq0xBVNjrGguriKs4AYRQ4UUuvLMKsJsSuOaoUSoXasoPDpebVdB+3MpypbH0el64jLPpnD9qOsVhi3OJULoL751Ej+Med6eHm7eWdqyf88EAoGgE0IsCgSXALoi847n7eSjXzvO//jBG9tmjZQmE8cxyuKsHXGM5YVkDBXb9ZFIxEgUxTT9iF29JmcWLAqmxmjRZKbu4gQhhqpg6gpuGLHQdJmuudx3qsx0zcVQZX7k+TsIw5icoRLEMRNVh4UJFy+MGVl0/56aazLWY5LR1cTF3HQ5MlUjjNiwpdpy9uZTGposUbZcnCCiZCYGnYW6h+UlYdsLDY+Zhsctu3vIGOoyITpWNFfN/AFrzgFKktReRXhyrsFExcENIgxVZrSUYldvtn29ndYNDuZSlDIamqJg+yF+GC0To92w2Qihqu3zye+cBuC9L+scxC4QCARbiRCLAsElgCRJvOv23bztth0YahIOndGTWJea7ZNZNIIYmkJEjCqBF8bkUypuEJJJqdh+mETKOAGljI7lhczWPaZrDqauYPkhaV3l6HSDbx+bZ8HySWkydxwcwtQU7DhClWGq7lCxPFRZwlAkoihxBXthyGA+RdbQODFXZ7LqMlpK05PRN9zK0iJvaqQNhaemkzazE4TM1FzcIMTUFZwgpCenMVtzeGKyzm17epa5jVduiGnRtSNZeub/O6XedFpZeL4bXDaKEFpplvnEPadouAEHBnO8bH9/1+cRCASCc0VMRQsEFzELTY+647f/bKhJpSyjK/TmDFJaYmyRJQlZlqjaHm4QMV1xyOgySRCORCmjo0oSTTfACyPmGh52EDFYMCiYKhIxDcfn7EKDrz81x4Llk9YVfuKFu0lrcmLiCEOmajbTVZu6E1C2fOwgZqbukdISQVOzPSqWSxAlwkqTZWRJardUN8ofzBoq+/rz+FFM3fGZaySVT1NPWsNxLLGnN0tfzqDu+FuSZdiaF5yuufRlDPb0ZejLGEzXXB4dr1K1n3n+ndzKsiy38w6zhrrpVXtLI4Q6sdQsE8dxe1bxvS/bK9b6CQSCC4KoLAoEFylxHPO+Tz/EsdkGf/KO53DDWLH92lInMTioioG8GB/TdEKCKCKlqfhhhBtGTJdt5i2fmZqN50d4fshA3sQLInqyAZYXkDFUvnVsHtuPFiuKg3hBhBdGSMB4xeX0QpMwjlFkKamExTFWEDFRdSmZGvNNn7oToipScp4wIo7jtqjZKH9QkiSuG83zyHiF2bpNueGhqgq2G4AMI8UUA7kUEiRzjeeZZbiZecGVO6m3arXfWhFCLZaaZSRJ4p9+7kX8w3fHef0NI+d8ToFAINgMQiwKBBcpf3n3Sb56ZBZdldsVxZWVrUMjeU4tqMzXXbKGys5ek5vGCjw1UyeMYKyUBiTGyxbH55rU3YAwivCiiFxKR5GTIO6q7fPwmSpOEJHWFd548wiyJDHbcLHdgPGyRd318cKQnKFhaApemJhAimmNphdQNFUcL2DG9QnCmGxK48Rsg3JaZ6iQOIy7yR8cLqR4wb4+7j0+hx/GGKqCrir0pDV6swZNN6Q/p5NLqcw3vU1nGS6l23nByarDiblm127lzbBU+E9ULFK6gkJiWnK8kGxKW2aWMXWFdzxv5znf80o2k+0oEAiuTIRYFAguQp6YrPH+zz8JwH953bUcGMqtmcO3syfN3v4sQRihyBLHZxuLLUuYqjqcrVgEYcw1QzmabsCZio3jhzw+WWW0lETePHi6gh/G5FIq33PNAKOFNOMVG1NVaDohZ8oWaV1GkRSCKKakK2RlldPzTcpWzJ7eNG4QM1FzcLyQoYLJ7t4MmiIzW/douiH7BrJJO3WDXEBJSlbvNV0fy48opTVyqaTVXndC0rrCUMFsP4PzyRjsZl7QDyNOzDVoumHXbuXNUjA1dvamue/EPEem6nhBjK5K7OhJc3BRiB6bbbCnN4Msb52Q22y2o0AguDIRYlEguMio2j4/84kH8IKIV1wzwLtu39VVDl8xrS/uh/YZLabRlaQt7Yep9u7muuPj+CGDBZPpms1MzeVrT83ihzE9aY2XHxhAUyUUGa4bzeN4IU5QZaoa4IUho0UDJ4wJIvC8gKKpk9IVsobGmbLNQM7g4EgeWZLJGonY6M8lO6mnqjZpXWGkZG6YP1gwNW7b3UPN8TkxZyVzfVISrt2qUk5W7U1lGXZivZWDkMwLBnFMzQ6WbY1Zylas9qvaPqfnLTK6yk07SsgyRBHYfsDpeQtFknjzh+9mIGfwFz/+XEaL57/ib7PZjgKB4MpFiEWB4CIiimLe96mHODlvMVo0+Z8/eANxHPPEZJWZmsNI0cRQ5cUtJKsrW0srZY4f4voRA/lUu42d1lVSuooEeEHMl4/MEMewqzfNu56/k3Iz2b18cDhHxtCouz6WF9CX0Wh4ITKwYPm4QURfNkUpoxOEMYqUVKRecqCf4bzJsbnmsn3RKU3m2GyDa4bzFEyNphdu2O4spHVecc0g958sU3d8ejMGuZRKEMVMVu1NZRmuRTfzgsWURsMNunYrb5alc5MjxfSy10roTFZtPvzVp6lYPj1pnaF86pzOs9Y5t6taKhAILh+EWBQILiL+77dO8OUnZzBUmY++8xZURea+k2XuPb6AqshULZ+8mThvU5qCIksUTa1d2VpaKQujeNneY4AwjunL6Hzn5AJfOzoHwM07ChwYzPH4eJ2UIZMxVKZqLkMFGVWW0VSF/lyKvabGQtNj74BMpenjBsmu5CiMyWeSfc17+7Moksy+/iyTVbu9L9oJQmwvxHICjk41UOVmV+3OYlrntj097VbpfNNbFax9PnRaOdhqPbfCtXf1ZTg6VV+3+ng+7fCN5iYNVeaz300c0L/wyqvbO67Ph81mOwoEgisb8VNAILiI+MFbxvjGU3P8wE0j7OhJ8+h4UlFUFZn+nEHDCTg8USUMYwbyKbK6SjaloqsyQRhRMLV2paxgasv2FwNULY+vPz3HPccXANjda1I0VU7ON8ibGvtHeimktPac4d7+DJIESBJ7ejNEMdhewFiPSRjBVNXG0BT2D2Txohg/iFG0JALnqoEsth9SswOemq5jLs4aFtLaptqdnbINt9KE0Slse6kgzadU5hpuV27lpXRrHNlobvKux6dpuiG7e9O8/satcUBvNttRIBBc2QixKBBcRBTTOn/547cBcHi8SsNJ2sKTVYf5hkfF9iCWiOOYMIwxNJnpmoOEhOWFFNN6u1JWsTxSukLV9imYMNdw+JeHpzgyXUcC9g9kKGV1LD8io6k0nIAHT5W5aaxIfy7FdM3msYmAXT3pJMzbDRgtmsw3XBYaHlXHJ6Or3Ly7yDWDOY5M1zlbthgpmu01hKamMF5Ochn3D2aT/c1rtNDXE39rhW1vFRsJ0o2qjyvb4Zsxjqw3N2l5Af+4mKv4My/btyVVxY3OCedfLRUIBJcXQiwKBM8ydcfnS09M84abRpEkCUmSaLgBpxesxJDihcw2HM4u2KR0mbFShiiSmG96FNJJHA1SIgaHC6lllbIgjJmtuTxRqfGFx6aYqrkossTB4SyDBRPfDymYOjExqUil4SSmh2uHI3RFQVMkrh8rkjHUtvgpmBqZlMr1KY1dfRkyusKpBYu5hseZxYie0aLJWClNGEecmGu2jSkrBeFWtDu3KvplPUG6UfVxqQDcrHFkvbnJf3lkkqYbMlo0efNzxjZ9T2uxmWxHgUAgEGJRIHgWCaOYX/7Uw3zpiWmemm7wa6+5Bkg2txyfbWAoMoau0JsxOD1vMd9wqdkBGS1Zz1dzfIYKKa4fLbDQ8Nuiq1Up29ufBWmGP/vscWpOsiLw5h0FRksmYSzhayEZXV1cA+gzVDQJgmTt3zXDeZpuQFpX1qy81ZygLYwGcylKaZ3TC03GKzazNZfBgk7B1DgwlO8oxM633Xkho1+6aYefi3FkvbnJw2crAPz8K67a0ipfN7Oa52seEggElw9CLAoEzxJxHPNb//IYX3piGl2VefV1Q+2vT1QsGk6Ap8rMNzwsP8QNIjw/omb5WIuzij2mRlqTmW96+CtElyRJfOHRKX79s4fxwogDgzne9JxRaosrARVJYroeEcYx6mLL2PUjTF3FCSL8KEJT5LZIWVl56ySMUprCdSOJSJ0o2/RkdPoyEfoaQud82p3PRvTLRu3wczWOrFW5/G9vuI4zCzavOTS8pfex3jm3yjwkEAguH4RYFAieJT701WN87NunkCT44Ntu4sYdRSARHLN1lyiOmao6DBVMFDWp8HhRjKrINN2QUlpHlgEk5uoOURS1Z9qiKOZ/3nWED3/1GACvuW6I33j9Qe4/tUAQhtSdkJ6MmlQH3YC8ISPLiRkmKyetx4WGx1WD2WWtyKUtXzeImG+4q4SRhERaUxkrpWm4PumUmrQ1t7DdebFGv5yPcWStyuUNY6Vtu97tNg8JBILLAyEWBYJngc/cf4b/+YUjAPzG9x3kddcPt4XYXN3h9LxFzlDRFIWmF6DJEEcx/uK+ZVNTGC2lSOkaZcun6fmYi0aFiuXxi3/7EF87OgvAT71kL+996V78MCajq2QNjdOBTRBpFNM6bhBTc310WcIJQnQlhe0F5Mzla+ZWtnwdP2SyZnNwuNDRJKEpMmEEI8U0YWRtabvzYo1+OV/jSKty+U8PjfOyAwMXRLRtt3lIIBBc+oifEALBBSSOY+58bIr//PeHAXjvS/fyYy/c0xZi83WX8YrNYxM1BvMGI0UT25OZa7g4QURMshtYV2QUSUYCkECWZMIYHj1b4Vf//jBnyzYpVeZnX76PG0aLPHiqgiJBxfZQlSTa5tR8k5FCir6MzoLtMV62yKU0FBn2DmS5bVep3Yrs1PKtWj5Hpuscmapz7fDqmcSWMOrJJHOLW9nuvFijX7oxjgwVDOI4pmJ5HSt5D5+p8It/+xC9GZ2v/MrLRDtYIBA86wixKBBsERu5cluC8DvH5onimBfs6+W1h4Y4U7Y4PW8xW3dw/IiK5WF5AU9NedTdkAMDWUaLKU7ONUhpOg3HJ46h6fpIkkSPqaPnZR44tcD//srTuEHEWMnkZ1+2j76sQcZQ2/N8kzWHp2aaSUi2H/LYZI20rmBqMlf3ZxnrSbO7L8utu0sUFqt2a7V8i2mNvX0Zjk43KGVs9vVnkXjmfpe2mCVJ2tJ2ZzcVPEUGN4jWFGXbwUbGEYCmG/HAyXJHQ04cx/z3zz0BwEsP9AuhKBAILgqEWBQItoCNXLlLK3Pfe8MIVw/m2NuXYarq8MjZKoosEUVgeSG5lMbOUpoFy2W8bGG5AaamcHrBoulFaHJSXazaATt6MvRlDT5532keOlMF4BXXDPDuF+2hsULcBVFMFIEsSfRldMaKJmfLNpWmj6GpXDea55qRwqpq31otX0mSGCqYlC2P47PNpIKY0tdsMW9lu3OjCt54xSaOYx4frxLGbKtLeiVrGUdypkrdDqg7/pqGnHtPLHDviQUMVeZX7jiwrdcpEAgE3SLE4jmyVdlugkuf9Vy5NdtnT1+Gu4/N4/ghN+4oIiFxw1gRAFmReHQ8EXlZQ6M/b+D4IZmUih1GDCoyj0/UcYOQKI7Jm8lf2ZSiMF6xqdgeT800mW14SCQRK+958V4ePFVeJu7iOGaqamN5IfsHc9huwJ6BLDfvLOGHMQsNl7GeDNcN55Hl5a3d9Vq+WUNl/2CeJydr1G0fP7gwjtr1KnjjFZvpmsNg3iCb0i6IS3olK40jiixxfLZB3V7bkHN8ts77P59UFX/yRXsYKa4WwQKBQPBsIMTiOdCeL2u4VC2X+YaHqWtcN5Lj0GgBRRFBtlcK67lycymNw+MVvnpkmr/+zlnSusIvvPIq9g8+M98XhjGKLDNds8kYKmcWLJpOgBWENB2fquXhBSGGKjOYN6k7IaoiYSgykzWHwxM1ohjSusKvveYAP3r7bqq2v0rc2X7Y3iutyjIhoCsyuVQimjK6StMNsPyIrLFcFG7U8jVUmX39GQ6OFjBU+YL98tSpgqfIyfdkMG+wrz/Xfu+z4ZJeWkltuAHlpr+uIecfHpxoV2jf+7J923ptAoFAsBmEWNwkrSrSbN3l+Gydh05XmKk5WF6ALMscGMzyw8/byYv2D6yq0AguP9Zq0TbcgGMzDcbLNp++/yy2H1JKa1Qsn2OzDfb1ZZBkiYWmi+V5zNQd4hhUVaaY0kinVFRJ4kzZxvGS4GxTU9FVFUmKOTLV4EzZBqAno/HL37Of778x2QDTSdyFUUwQx+3qmypJKMozYmk9Q0i32z4GcsYFr66vrOC5QcTj41Wyqc6Vw2fLJb2RIScII/5hca3fL77yavJrXL9AIBA8GwixuAlaVaTZustT03W+9fQsNTvA8QNqjo/jxZxdsPnW03O85Op+fu21B9jdn3+2L1uwjSwVATExth8SBBGnyxbHZxt85oFEKA7lU7z7xXsppXXOli2+WbFxgyQm59hsk8mqQ49ps3sgQxRFFNMGpq6S1RXqukLOVBgppphveHzlyCxNL0QC9valOTRa4OYdxXZrtZO4U2QJVUpyFOuOT1/OaEftwPqRLhf7to+lFbyK5RHGXHQu6Y2qs24QcfOOIqcXLN7xvJ2rXhdjLwKB4NlEiMVN0PRC5hsuDcflkbNlzpRt6o7ffj1a/F/Dj/nc4zPcc3yWt9y6k3e9YDfDxbSoNF6GtETAQtOjbHnULJ+mH3D4TJV/PzqLG0SMFlP85Iv2EIQxlhcws5ijmNZl5hoe5aaL7flM+CFOFDKQTzGQDcguupgVWaJqBXzz6XmOzTaJSdrOL7m6j4Kp0pc16M+l2tfUSdzpikxKVzg1bzFaMhnKm6ucy0MFgyiKGC9bAORNjayRrAK8VLZ9nG/O4XaR1mRMXeFs2WKkZGJqyrLn74URv/qaA+zuzSS7vpdwIVcaCgQCQSeEWNwEQRjRcAMmKi7lpsd801/1HplEMAIsODEf/eYp/v67Z3nOjhJvuW0nLz/Qj6qKx365kNEVDE3h3hPzpPVkTvF02eJLT84QRDF9WZ2feOEerhnOc2ymwdMzNSYqDlXbY7IaUrZ8DFWmJ2PgRTENJyCObWw7YCBv4IeJe3bBCgiiGIAdJZPrRvPEEdSckOvHUpiaTBzH7WpTJ3GXM1RGSymyhooqS4RRvCzSZabm8cDJMhXLBwmKps6B4RzXjSSGkG53Iz+bFbClVdWhfArbDwmjGEWWSKkyk1WbvpxOHMfLntd20hJ7c3WXsws2x+eajBRT7Cxl0BSJsuWRTSUB6LkV7ednY6WhQCAQrESolk2gKkkIct0J8MKYtA6L/51t06m5NdcMuevJOb7x9Bw3jBX48Rfu5Y7rhkSl8TIhJhFxcZwIj8FsipSmkDUUXnx1HyldIWuojJZMHpusMle3qToBnh+RNRQyukbDDUgrMZGmQBTTDELmGw5OCLMNnxhQJLhqIMM1Q/l21XAwn0KWZB48VVlVbeok7sIw4tSCtTzSJaUxXbM5NW+hyhKDhaRKWW563HdigYYT8Ly9vRRMbd34m4uhAtaqqk5VHe45MU8cgwQ4ftgWZRFZHjhZviDXtlTsDeRTFDM6ZxYsxis2s3WX8YrDU9N1/tsbDq26jpXmqdaYQxjGFNIalab3rKw0FAgEVx5CLG6CjK7Qn0sRAzGgyQoqIUGXn7cDuO9klSenvsvnHhnih2/fycGRYrvVJ7g0WLkf2fVCbhgtULF9qpaPJMe8+rpBNFlid18Wz08CsA1FRgZUWSZrqFQCD1mS8MIIpGR9XkpT0DWFII45Nu/Q9EIAhgoGe3rSVJ3EIJPSFMZKJlcN5NjTl0GV5XZUz97+LGldaVf2Voq7601tWaTLsZk6MzWXtK7Ql32mnW0WVWbrLqfmmwwVDK4fLa757+lFWQGLQYrBDUMmqw5+GNGXTdGfNdAVeduvrZNTPqUpHBzOs6cvw5OTNT7y8HEsL+S+EwtcN1JY9vml5qmGm/xyULN8gjhGlSQMXcaPYvb0ZcW6PoFAsK2InzCbQJIkrhnK8cREmu+eLhNGMbIMctS5otiJCKg68M+Hp/j3I1PsH8zz6uv6eemBYa4ezIlq40XO6v3IAafnbb5yZIYXXtXHjWNFJioWO0sm03WXY7N1TE1hpGgSSzBTd/DCmLodYAcRSGCoSdUwBKpNn5CYqpOIRE2ReMHeXm7dVUKSoekGTFUdBvIprurPUnUC4nh5VM/TM3VGi2k0Re5YPVsZ6TJZcyGGXAfBlDdVqrbPeNlhb39nB/F68UEXOq6mdS0Az9/Xi+WFPD3TQJIkRoomc3WPmZrDvv7stl/bemHmaV3lriemsbyQgyN53nn77lWfb5mnvDDixFwz2ded0trmoqrtMVt3uWGsKMSiQCDYVsRPmE1SSOu88rphpmoOk1Uby4u6FoorqXvwwJka3z1T42N3n+FNt+zgB2/bwc6ezJZes2Br6FQ9e2rG4y+/fZKZusujE1Xe96r9gMRgwaQ3m+LMQpOJmsPhs1VypkoYgRcGRHFMSpHxgxgvDIijCDeMqTvhYlMbejM61w9nMXSZwxNViBM3r+0HXD2YSzaTSBKKLLWjevwggkgma6qo0sbVsyCMcP0ISWaVsQJAk5PRCzeI1nQQryWKWlzIuJrWtRTTGrYf0nQDGk5AX0ZHQkrEr+Vj+yFpXd3Wa1svLue7p8t86+l5JAn+f6+7FkVeLVRVRUaR4fRCIhSXVn0NVaFg6oxXbCarFjtKpuhOCASCbUOIxXNgRynNe192NYaq8PFvn2DBPr8Yjgg4W/P4q7tP8MRkjXc8fxe37u4R7emLiE7Vs7uPzfFHX36KpheS0mTecOMIAP05A0gqhr1ZncFCiprt8dR0nbrlY3kRdTcgCGPCKEKSwA1jWlpMlmCkkOKWnUXsIMLxIgYKKYhhvuEwU3OZqNiEEYyVTKIo4thsk7LlM5RPUXV84ghSqY0re6oiY2gycZQ4hQ11uYPYjyJiaIdtd2KjDMELGVcThBEVx2eu6dKwA+puwHjFYqiQoj+bIqUqNOKAcNEstJ3XtpYz2wsiPvy1YwC86poBbthRBFabg9KaTFpXmag4jHbY5lKzA8aKJpYTXvDcSIFAcGUhfrqcI8W0zi99zwFuGivwP+46ylNTja5nF1cikcxAVt2Ibz41y5NTNW4cK3LNSJ6XXd3Hrv6cEI4XkE6O3oYbMF62MVSZiuXxt/ed5t8OTwGwrz/Dq64dYKLqIJG4jIMoyTOUpOTPthcxU3cxdAVFksnqCmXbwwtjwviZcxdSCn0Zjayp4YYxfTkDz4txvRBTU9BVhZQmc2bBxlAVetIaD591OTnXIKWruEES4L00cHu96llGVxgppDgzb1F3fIzscrFYswNkCUZLKTJ6581EF1NcjeWFjJdtiGN6swaaJrPQ8JhveLh+zEDOaFdjt/va1goz//T9Z5isOhRNjXe/ZA8ZXVnTHJRNKeiyTNX2KZhJpdePImp2QFpXGC2lcfzwgudGCgSCKwshFs8DSZJ4+cFhbtxZ4mPfPsk/PniGU2WPeOOPLmPp+70QzlZcJqvTfOXIDJ/89mlu3l3gVdcMcWisyL7+jJhr3EZW/kc7WR8HNcfnyFSdfErjY/ecYrLqAHD73l5edc0AfhwxXXPxwpCK7aFKEr1ZHduL+P+3d+fRddbngce/73b3RVe7ZMm2sLGxIZhggmOyAElKQ6cBOk0yDC1l2jQdMiGUk3N62qZJk545PWSanunkZKHpzBw6Cw1Np0NDTpOc0AlLEmLALDEYbLzbsnZd6e7v/s4fryRvurJsS7qS/HzOEdhXr+796QVfP3p+v+d5KlbYisbxA7JRjYgaFjvVnICpBBe6qpCKqvS1JOlrTWC6AYWqQ1dTjExUI1+xyVdtVCU8ClG1XEaKFk0Jg2TUIBHViEc0hgombZnoTOYM5s6eKUpYhDNctHhrsMjAZJVcMkIQhA2uXT9gS1eGdS2puj+szHfCS71gc6EEQcBoycTQFAhUorpGQEBT0qBQczAdj+MTFa5d0zTTkHwx1zZbv0sF2HVkHIDfumkdV3VmKZpu3eIgVVXozEbxAjBtj3LgoisKbekIndk4uqrM/FAjhBCLRYLFBdCcivH7H9rMv7tpPd9+4RjfeekkJyZqF5Vp9Ah7NWoK+EHAWMniX94c4ZXjeTrScTZ3ZvilLe3csrld+jUuoCAIGCyYvN4/ieX6dGZjOF7A/qESe/onw/nMmoqd8mlPRxmv2Ny6qZX3XdmOrikMTNTwgjCz1paOkonpxAyNfYMlorpGxXRRg4CjYzWOTZpYbhi4aSp0Tl3fnIySS0bY2p1lvOJwwC3iuj6qopCN6WTiOr4fULU93iqZnMhX6MiGk1j8QKFYc2jLxEgYGsMFk1RbmI0+X/YsGzfYcUUL6ZjBvsECwwUTFMjFI2zuTrO1a+5q4eUy4aVie0xUHDa1p+mfCFvTZOI6zckIJctlrGQSM3TSUR3LXZq1zdbv8k9u38JbQ0X+3Xv6yMR0Xp8KFGcrDhqYrKJrKmlDJdeanOkZGTfC/pWDhdqSBOJCiMubEgTBhSbClrVisUg2m6VQKJDJNGbUXr5U4/+83M/3fjHAodEyNZcLzjZqShg0qmqYbQyY+r0CSUNhU1eWu3es5Ze2dJCOGbJFfQkKNYejY2VeOTbJWNmiLRXF0FUqlstg0SRftggIiOk6YyUTXVNpTUdQUMkldDqycd4aKHJotIyuKfTmEqRjBh2ZKLWpdjhPvTnMW4MlSlb4I4SqQNxQieoqubhBLKKzJhunLR1lx4ZWjo6X6c9X2dieJhHVsV2PkZIVBpkBHBotE9FVMjGDuKGiqyqqprCxLYWmKpi2x5buDImIPhNQnK/iNwgCypZLsRY2mz99gst87+PZW6kt6ciSTXiZrNrsPjpBWzpK1fYYKtQoTLWacbwAy3ExbY+rurM0xY0lXVu9ZuVly2X3kTzJqD7rFr7peAyXTGK6hh8Eswbi0phbCHGx5hszSWpqETSn43zy5o3cvWMd+wYK/OMrx/nZwTH6C/PPNXpBmGUM/xFSCIPIsh3w6rFJDgyX+OdfDHDL5nbetT5HT3NSzjZeoOkK5/Gyhe35rMnFURXYP1SmWHM4NFbh9ZMFmuIGH7qqjQAYK9vUHI9kTKM/7/HqiUk8PyCXMPC8sEV3yXIY7jc5ka9yNF9lonpq2k82FjborloOZdtj0nSJuz7v6E7T05KkPR1hsKCSnDpfmDA08uUwUMzFIwwXaxiawtXdaToyccZKFqlYOJWlarskozq251OxXAo1Z97ZM0UJG3SfPUVkvuYz4WUxnX52MhXV2dCWOmOCCwTkqw7XrsmSTUSWdG3ff32Io+MV7r95wxmVz/MpDorpGps600xW7WU9alEIsXpJsLhIFEUhE49w44Y23nVFK/uHCvyXfznA0/tGsLw5vo76WUgPwAdDA9eDkumx68g4bw+XePK1GJu7MlzdHX705hJEDH3Jx62tJL7v89ZggZGiSSZmoCphSxLb8xgvWTxzYJSiGQb4qZhOzfXwA4gaCpbrY7gqwyUT0/JIxA3SsQiaDomIyskJkxeO5inUwq9XFMjFDSJTW8EV08HyAlRFQdGYGvvmsFlTKNQc+lpTdGRiHBuvcmw8rHSOGSqjZRPb82lNRWmKR4kbOu2ZMJPY05xgsuowVrSoOC6W69PTHF/SgKLehJelGAN49tnJ6X6G0wYLNXpycbqblrbNzMnJGn/8f/dQNMMziffsWDvzufkWBzUnI/Tm4g0dpSiEuHxJsLgEFEXhqq4mvvkb2/n2C8f4Hz8/Qn++RvWsRGNMC4MKTVWp2T6zxZQe4VQKn3Ar0/cDTMfnwGiFo6Nlnn5zhKakxvqWBG3pBB2ZKO/szfGuvpyccTxNoeawb7DIi4fz6JrKSNFkrGyTr9g8s3+Ut4ZKQBjEvbuvhas6UwwUTHwC2tJRilWHqulSc3x0LcwQDU7WqDkeLx6ZID+VSVSUcJZzU8yg5rhomkrZdClbLroGCcMgGVXxPIXRss2JySo9LXGu7s6SiGi8OVjk1WMTjJRqxHSVpmSMbT1pFEWhMvVTh66quIFLTNfY2B5FVxXaUlGu6ckui0zzfMcAXmpAuVzOTp7O8wM++/evUTRdtvU28bEbes74/IUUB801alEIIRaTvPMsIVVV+Y2dfXxs+xp+dijPq8cneONkgcmqyZGxKjUnQFFUAt9HVcH3Z88yTtVG4AfguqAEDpquoukaAT79eZuDw1VULQwkYppKX1uCX9++ll/a2k40YlzWWYnpreeR4tT5w1RYXXwiX+WHbw4DYYZ3fUuC5qSBFwS83l+gbDsYwMhkjZLlYXk+ugpRTaVkO+QrVdypKmRVgS2dabZ0ZXECj/GihaYqOJ6H4/o4fkBE13H98L95Vy5KNm7g+wHHxqroikpLOkpPLo5pu0xUbXRVpSlhEI+EDZmHCiajJYuYEY4RdPywgrYlFWXrmuxFbycvpPmOAVyoudKzFZQ0csv2W88d4oUjeRIRja/+m+vOaXy+HANcIYQ4mxS4NNhk1eblYxP8856TPLd/lKLlohAGK7Z3aozg9F8xihIGibP9RzNU0KcKYgjCgAXC5/ACiKjQ15rg+rVNbGpP0Z1Lsr41SVdT/LIpkgmCgNdPFhgqmGQTBj8/OITgoicAACTMSURBVI7rh1NMqrbL9/YMEo9obGpP4vlguh6lmkOh5mG7Ngoqpuvh+uH50QAFe+qcIoT3PB3TSUU0tvVkSEajQEAiqrN/uESpajNhOuE0kZhORFOpOR65RISubIyta7LoqsLGtjT5qs1w0aQ9HcFyg6leewYl0yEe0enMxCiZDofHKmTj4Rm91nS0YefYZmsq/cZAsW7WbLrwpjeXYO9A8ZyA8lIKOJZi2/t8dh0e5zf/2wu4fsBffPRaPn5Db91rG10cJIS4PM03ZpJgcRmYrkJ9bv8I/7D7OG8PlymbDhU7CLedCQNBCINERQnPLM7VhncmuAQ0DRzvVIA5/XyJiE5rymBDe4abN7XyrvXNtKajGLq2YjKP00GB43rYXkBEU85Zv+/7jJZtzKlih8MjRY7lTX7wxiB7+gt8eGsH61pT6KrCaNlk/2CJiu0wUXUIggCCAMvzsdwAxw0DQx84rZUhChDTFXLJCBEVipZHUyxCZ1OMvtYEa5sT/OCNIcbKFhFNQ1chGTUwXY+a45GK6VzX08S23iYKNZctXWmGixYHhsts6gjPLx4erVC1val5zTbZhEFTzEDXwgKI5uTSFm2cbrZgJx7RGCtZtGdidSt9y5ZDPKJRrLlzBpRLMVd6IR0br3DXN37GRNXhjm3dfPXu6867/uUQ4AohLi9SDb2CTFeh/qtta/jlqzt46dgEe08WeHuoxItHxxmYtHB90JWwlU5AGJxENIhpCrYfFlycHvWfHkh6Zx1+DADbB8d0qTouQ0WLl4/l6WmKc9WaFGubkjQlI6zNxWhKxujKRJfl1nWharNvqMSxfIXRooXr+yQjBl3ZGD3NcdrSMSaqNr84McFo0cJ0At4cKvCLEwUma6eqk4dKFpmEQVMiShDAeNVmrGThBz6KomI74Q10gjMDRAibaft+gELYCkdVwPaDMDNWs4hGVLIVDV1TSEZ1AmC0aJGIaFMBpkbZ8khHDFRFpWp56IqC4wUUqw5d2RiFqkN3U5wN7amZdjCeDyMFiyta02zuTDc0+1Rvq7l/okp/vkZTMjJrsGhoKmXLpWJ5dGRiszzz0s6VXkgHR8pUbY9tPVn+4qPXzuvPjZxJFEIsV/LOtMzous7ODW28+4pWKrbH0dES337hGD89OM5IycRxw8xiIqIQNTRsJyBuKKSjGmXToTZHpfXZVCDwwVN8SqbP28MOR8cqaJpCEIChK2TjBk1xg9ZUeH6uryXB9etytKZjuIEyayZvoc2WPRwu1Ph/+0Y4nq9Stb2w+CNhUDY9hos1fnFigiAIGCnbFEyXwckax/JVTCcMoxUFepvibO1OEzM0iqZLxXI5MFxmvGyhKAG6olBzfKyzUrinMrMarh9gueGkF8+Hkumiqgqpqa1oXVOYND3ylTLJaPiYqigEfkA8plGzPJqTEZqSBgHhVnNvcwJDVXCDgGxEp1Bz8PyAdMyYaQdjuz6FmsOV7Re3TblQWazZZmZD2FS6Oxfn8FiF/nyVLV2Zc57f8XymH1kOc6UX0ge3dPCdf7+TzuzsWVUhhFhJJFhcpqazDNf05PiP3VkGJ6s8e2CM3UfGOTJWpWA6lE0XRfWJ6SqaplGxHDROnWuEubeqPcKzjIELKBAo4PkemguqplC2AsZKzhlV2boKyYhKby7Ble0pWpIGMUND0zU60hE2d2TY0J5C0zRcz6+7NXw+08FMvmIxOGkyWjIZLJrULI9Czeb1/gJF0wkrgX2PmK7jBQGeH2A5HoYRtiQxNIWmWIT9w+Wp9Ss0Jw3wwybNh0fLJCIGuqaEDZCLJrYXYLn+OVlETQm//yCAiKHiB2BPBTwqCj4B+AqZuM7aXJzmZJSRkklcVxk3bUzHZ0NbkutySUaLJkXToS0dQ1ECHNenZLqsa0nQmY2jquHrTVYcHN/Hdn2CIJhpB6Mq4Za6oc8eiMwVDC5UMQmEU1PyZZtcInLO5+KGRndTjP7JGutbk2e0sYGw0rc9E6diOstirvRCKJnOTGHRtt6mxi5GCCEWiASLK4CqqqxpTnHPjhR3v2stB0fKvHxsgjdOTrJvsMhQ0SIIwibRXs3DnTqfqBH++3yHUl3OvNBQIXCCMJA8+1ofCqZPYbDM28NlVOXUeUhVgUxUozMbYX1bhlRUxfMCorpGczpKT1OM9a0p2tIxsjGNgulRs11KpksqooIaBjUly6NYsxkqmOwfKjEyFcC1piKkYzq7j+YZKdoYmkLZMXFdn6odzlmeDpQNTSGihcFwwtBIRlQc1ydmKPieT83xcP0Axw8Am6rtY7pnhtYKENEVNAUsJ7wZnh8GjDFdDVscOR4qYXBPABEtPKunaRqaFgZ2fS1J1jQlODlZDbNpSkBLKko2aaApKmNlk8mazZbODFu7wnY3ZdMJ51EPl+nKxDgyWmaiGs4DTkX1OWcazxUMAvOqTp6vuZpKKyiszSUZLVkMTNboySXOqfTd3JHiWL7a8LnSC+F/7zrG1398kP923w1csybb6OUIIcSCkWBxhVFVlU2dGa7sSFO2uunPV3nxyDh7BwqcnKhyYLgS9vgL5hcozsaZ546ffdZ1fgB50yNv1nhzuBbOuFbDIFJVwjY+yZhGayqGoYLpBtRsD8fzsT0PTVFJRDUSEY2oqjBWcSjUHFzPJyAgboTVw24Q9pas2R7O2d/g1O9tLzitqMclqmn4KtQcn6odZg19wDqr2aWuEr6G72MooKgK/lQrI9cPA3CC8NcK4TUuYb9LTVOIGQotyQieHzAwWSOqKUQNBUVVUBUwdBXT8ehtSdKajFC1/HD6S9Kgry0Mpoo1h/3DJQo1l+ZkhGxcR9NURkoWE1Wb5mSEtnRs1pYqc7WqKVRtbC+gWAvPQEZ1FUVRZuYQDxZqHM9XLqiY5HxNpSO6yhVtKVpTESqWO2srm3WKcsmtYxpdHPLs26N88cm9eH7AcwdGJVgUQqwqEiyuUNNFMVu6s1zVlaFkOgwVLU5OVPjn1wf5yYFR8iUHr060aExtp05n45RgKsO4gHzCXpHTNHxMx2ei6OAppyq23eC07fJS/Sk2Vce9oOB3+lrTCStvZ/taVQnPHkZ1Fctx0FUdVQnwAx3LDXsiQni2E6bulxpu1wd+eG40oijEDBVl6nseLpiAgu26tKZjFGoe7ekYXdkEiahOxXI5ma9Ss8I1belOc/26HK4XMF62ODhaplhzecdUr8Si6VCsOmhqOOUllzBY35KYqaKfDozmOj+Yjhm8fGycwQmTNbk4hapDNmHMZCrh4opJ5tNUel1Lgqu7MlQdf9Zg7lJ7Iy7ktvrFeGb/CL/3v17G8wPuuq6bT928YdFfUwghlpIEi6vA9GjBTDzCpo40N29q5+2hAv/w8kmePzjOiXwZyz3VnzEgzB6G26fhA4YO2lTgaLtzn3W8WNNnJIFZo8HpILFeQHixPZ7O/jqFMEiMGypNcZ1YRGeyZqOpGr7voeoGBOEZwZih4gV+2PzcD6vRNU0hFTMIPLiiLUXUUCjVHI5P1qjZPjXbx9DC1jjtmShRQ2O4ZHJFW4pcwqBYcxiYrBEzVLava+aqzjTZRCQsyClZVCyPze0GTYmw92V7JhrOOPYCCjWbwUKNPf0FjKms3nRgpKnKrOcHy5bLoZEypuNTsV0MTUFRYHTqtTa0p0hF9XkXk5ydxVvXnDhvZlBVVVLR+ucOL3au9Hybfi+Wp/eN8O//18vYns+HtnTwn+ZZ+SyEECuJBIurkKqqXNWd4/NdTRRrNk/vG+Ff9o1wZLjEaNmkZIXnGjUNtKmMlK6GfXkc10PXwnY7F1BYvSAWs+GnoU41J5+aiqME4XlEQ9fRVIW4odOc0BmvmNiOi66rRHUtbJ/jKxhaQHMmBr5PVNfoaIriBwptmQgVy6dg1vADBV1TUBUVPwgoWS6KEm7RAuw+NkHJdHC9MCDzgoDdxybRVAUF+Po91xPVVWKGxu5jeY6OV4lHNBKGFha1qGGmzrQ9epoStKWjZwRGvc2Jc84PBkHAUKHGRNXGDwImqg4HRytkYwapmI7l+gwVamxoS82rmKReFm9tS4KJin1JU1MutHXMXJnUi91WvxD/8uYwn3rsZRwv4Jev7uBr//b6ulXdQgixkkmwuIopikI2EeWu63v5yLZujo5XGS3WGClZ9E9UOTpeZaxkMVwwGa+5BEGAoULZ9BYls9goM399B+GZQ48wcAxQqFgutqvSko6QjGp4vs+QY1K1PXwf/Kme9QEwUDBRFYUb1yfpysYpmw4/O5hnrGLP+roK4HlhrvTK9hSPv3Ripip7NtpUoKarCruPTfD8ofG61374mk7UqfOGzx0Y46UjebqaYuQSBr25BL25BB2ZGBFdYahoUTAdTNsjHdfD4h9DY2Jqa1vXVLqb4hRqzpzFJOfL4l3dneGKttSSnRucqxIbFrdHYxAE/PefHsHxAn7lHZ189e53njPKTwghVgsJFi8TmqaxoT3NhvY0cGpqTKFqM1Ky2DdYYM/JIsfGK5zI1xgrm4u2HX226XBiMTKLGmGRjRdwxvlNH5iYKm7RVYW2dJSq5bG2OcFwycJy633nAblkGFhe2ZFmoGjheGG20WcqqxeEbdMTEY3eXBxdU4noGtt6m9jR1zLTn9F2fda3JokZGn4QoKnKzBnAq7szdGfj1ByPqu1SslzGShZVO6zibk1FZ1Z0ZLTM/uES+4dL56w2EdG4c1s3MUPF0FRyiQiaqlC1XZJRnaLpMDRZ42Q6Qkc2XreYZD5ZvBMT1aks3tK8rcxViQ2L26NRURT+63038N9/coRP37phxbT2EUKIiyHB4mVqukAmHTPoaU7yzrU5ftV0GCqY2K7HmwMFfn5ojF+cKDJYrGG6p4K56ZY8l/JXsHrW16ss/La3DkQiENfDNj3KacGiqoKhqkR0lejURyqms7Urw/DUhBVVUShZLpbrkY0brGmKEdV1bNelIxOnMxvnwQ9u4ueHx/Bcn8GiSVRTUVRYk40TM8IWNz5guR5bOzNsWZMhYeh1x9gpisK6liS3bG6fyeAZmkq+YvHysQk6sjGubE+jqWFwEgQBH9nWzTvWZDkxUcMPAo6OVRguWUxUbDw/wPN8agTkElGeO5Bn70CRTFynNRklE9NJRnXevbF5zvN9jczi1XO+SuyF7tHo+wE/3DvE7dd0zmyZ//6HrlyQ5xZCiOVMgkUBnFkkA3BNT45f397L0fEqQ5MV9g4W6R+vMla1qVkuY2WXo/kyJat+PnC2qubp6Sf+WaPzLiRQTOhhgYrthYU6BqDoYcWypoZnEX0/IBuLoOsqrg9RTScWUUkYGrGoRi4ZYV1zkpgeTlnJxA1cL2zofUV7EhWFtc0JRsoWNdsjFdWIR3SGCiZbujJ8ZFsXJyZMxssWHakohq5g6CqjZYuubJzeXAKAkuVQMl0mqw7rWhIohPOO52oJM1t1sOP7tKWirM0lZoKxsuUyVKhh2h6ZuMHmiMaOK1rozsWZqNgMTZocHa9weKxMPKLRk4vjTqVXizWXYu1U/fvzh8a5Zk2WJ/7DTbMGV43M4tUzn0rsherROFm1+f3HXwtb5HxkK7/9nr5Lfk4hhFgpJFgUdZ2+df2eTZ2nbV07VKwwC/nU3gFeODbJZDUcSee5Lp4Pqhb2IpxuEB5wqpn1dAGI4/lYTjDTsmf6r/TpwPHs7CNALqbR3ZygYroUaw5e4BHXNVLRsGAjHTdwPZ+C6ZLQtXCbV9dIxDQIFHIJnYrjkY7pbOttnumPGDc0KpbH6/2TbGhN0p83OTxeobc5ztVdGWzPZ2DS5KquNHe+c01YuJGIcnQsHA84VrZpScUwVJW4oaOqytSvNbypIEvTwtnP8yn8OLs6WFMVDo+WGS5awKkK56rtkYnr2J5HcyrKZDUMLq+ZOj949ZoMuw6PM1m1qVgev/2e9bhuwNF8hYMjZYaKJsNFk4mqg6JwRqD4wN+9Qiqq856NrWzrbVrSLN58TGdhL7VH4/m8cbLA/f/7Zfonwgr2pkTj5nALIUQjKEEQLGYR6pIrFotks1kKhQKZTKbRy1n1fD+spj00WsHzA7qzUQo1h58cHGNwakvbn5oz3ZWKE4+GhRU1x6Vq+4yVTAYLJqblgBJuKwaKEvY49MIxd64XoCnhVmcuFcMPfAxNpSsTZVNXls5MjCCAmK6gaCptKQMClTcGJpmoumRiOjFDIxXViRrqGWPnzg4wEhGNK9pSTFQt9pwozMzjjugKvS0JbljfPJM1hHAbeLBg8np/Acv1SEd1xis24xWbYs0hEdV5Z2/T1Lg77ZIKP6YLTMqmw0Q1bFiejRuUTId4RGdDW9gC5/QtboDXTxY4PFrGDwJGSjaO62HoGh3pKIoCG9pTtKWi5CsOW7vDPzNV2+XaL/0I97T0b19rko1tSW7a2Mo13dkzgsZ62+pLYbYK7ZZ05IIqsWcTBAH/8HI/n/+nN7Bdn7XNCf76N7fP3CMhhFjp5hszSbAoFoXv+4yWbUzHI2ZotCYNam4wkyULgoCS6RIEoCoBhZrDeMUmamisycaIavCLk+Gov4rlUbFsjuZNijWbmKGxsT3Njr4Wtq7Jkonps/bnm6za7BsqMlYKq5WTEY3WTJS1zeHYu/MFGGd/D22pCKo6e+bs9IDFmdqyzSZ01rek6MrGFiyAKtQc3hos8OLhPLoWbqtnkwadmVPNtU3Ho2K53NDXTCqqU6g5vHB4nCOjZWzXxyfM2kZ0lb62FDuuaDknqLJdn58eHOX5g+P89OAY+4bOLJ65cX0zn/uVLWcE2e/oabqo4Gwhpq8s9ASX4+NV/vTJN3hm/ygAH7yqnf/88evISlZRCLGKzDdmkm1osShUVaUjEzvjsdRZu5fT5yMBunPnPscHMmFQd/r2d9V2SUQ0sokIqag+ExDMVlTRlIiwo6+lbhBxvibQs30P9VxsU+kLlY0bbO5IM1qywqyoHm51K5x6nXrnBxU1bJmjTs3PVudYWkRX+cBVHXzgqg4AxsoWzx8a5+l9I/z04BhXdaYZK1voatjg+7Pf+QW3bG7j5k3tvHdj67yDqvlMX5lPIHihPRrPp+Z4/OTAGIam8PsfvJL/cMtG1LlumBBCrGKSWRRihSlbLruP5ElG9VnPD56eWUxGNF4/WWCoYNKZiYWTYPxgqhG5xlDRvODtY9/3KZpTbYc0lSde6ecL390783lVgXeuzXHzpjbev6mNd6zJos0SaNXr2zh93nB6vvJSjPILgoDXTxa4tqdp5rHHXzzOjX3NXNGWWtDXaeQMayGEOJ1sQ0uwKFap6cCmXhXw6ecHK7Y378DyYjNzpuPxwpE8z709yrNvj3Jw5MzG439z73Zuu7oTCLe3DS0Mjs73PaTjOp4XULW9usHkpQaMJdPhiVdP8tiu4xwcLfP9B9/H5s70JT1nPY2eYS2EEGeTbWghVqkLqQJeipY3MUPj5k1t3LypjS8A/RNVnnt7jGffHuHFI3nevaFl5tqv/fgA//eVk1y/LkdLwmBbbxNBEJyTXWuKG+wdKNKSitDXmjrjtRZilN8bJws89sJxvvvaSap2WH+fiGjsHy4tSrDY6BnWQghxKSRYFGIFmq0X42zzmJe6cTVATy7BPTvWcs+Otfh+cMZZv58fGufkZI2Tk7WpB46RnmqGfmVHml9/5xp0TcXzAyZrNutaErO+xsU2AR8pmvz2377E3oHizGMb21P8xo61/OvrexYlYGv0DGshhLhUEiwKsULNp6hmKRtXz+bsopD/+Ykb2X10gucPjfHs/lEOjVUomS4vHMnz1mCRj2/vAcICk+cPjvPWYInupjgtyQitqSgtqQgtyeisGVHfDxirWAwXLAYLNYaLJkfHq2TjBg9+MJy00pKKcjxfxdAUfvnqTn7z3evY0de8amdYCyHEQljUd6aJiQkefPBBnnzySQDuuOMOvva1r9HU1DTr9Y7j8PnPf57vf//7HD58mGw2y4c+9CG+/OUv093dvZhLFWJFOl8V8EI2rl6I4oxEROf9m9p435Wt/Mo7uuifqFG1PN4cLOB6p7ajy5bL2yMlCqdNmTldby7Of7zzmpmM6J3f+Bl7TxbO6As5rScXnwkWNVXhW7+5nU2d6TPmay+m5Tj9RgghLsSiBov33HMP/f39/PCHPwTg937v97j33nv53ve+N+v11WqVV155hS984Qts27aNiYkJHnroIe644w527969mEsVYtWa75b1XBa6OOP0IFZXFW6/pgtDUzEdj4mqTS5h8G9vXMfRsQqmG2bmxqYm5diejx9ASzoykxEt1RxcP0BVoC0dpTMToyMTo7spzjvXNp2xHX7TxtYLXu+laMRRACGEWEiLVg391ltvsXXrVnbt2sWOHTsA2LVrFzt37mTfvn1s3rx5Xs/z0ksvceONN3Ls2DHWrl173uulGlqI2V1sZnA+LW4u9qzfXNNXgDNe19BUbNfj5GSNeERj54bWmdc9ka+iawptqeiyC7oupHpdziwKIZZSw6uhf/7zn5PNZmcCRYB3v/vdZLNZnn/++XkHi4VCAUVR6m5dW5aFZVkzvy8Wi7NeJ8Tl7mIaVy92cUYmptPXmqQlGZ7ny8SNM5qtz5YR3diROicj2ts8eyHMcrBUM6yFEGKxLFqwODQ0RHt7+zmPt7e3MzQ0NK/nME2TP/qjP+Kee+6pG/E+/PDD/Nmf/dklrVUIMbvFLM6Yz9b2Uk3GWWwLcRRACCEa5YL3a770pS+hKMqcH9PnC2d7Q5+tp9psHMfh7rvvxvd9vvnNb9a97o//+I8pFAozHydOnLjQb0kIUcdiFWdMb20PFUySUZ22dJRkVGeoYPLGyQKFmjNz7XRGtOmsEY8rzXTge0NfMzesz3FDXzPXdEt/RSHE8nfBmcUHHniAu+++e85r1q9fz549exgeHj7nc6Ojo3R0dMz59Y7j8PGPf5wjR47w4x//eM599Gg0SjS6NFWNQlxuFqM443LuO7jQM6yFEGIpXPC7VmtrK62t568m3LlzJ4VCgRdffJEbb7wRgBdeeIFCocBNN91U9+umA8UDBw7w9NNP09LSUvdaIcTiWow+jdJ3UAghVpZFKxvcsmULH/7wh/nkJz/Jrl272LVrF5/85Cf51V/91TOKW6666iqeeOIJAFzX5aMf/Si7d+/msccew/M8hoaGGBoawrbtxVqqEKKO6eKMZFRnsFDDdMKzgxMVm4MjJVRFoTeXuKAMoPQdFEKIlWVRf2x/7LHHePDBB7ntttuAsCn317/+9TOu2b9/P4VCAYD+/v6ZBt7XXXfdGdc9/fTT3HLLLYu5XCHELE4vzjgxXmWwYFK1XRJRDUNXOZ6voijKvM/eSd9BIYRYWRatz2KjSJ9FIRZHoWrz0rEJSjWH5lSEbNzAcYML7rcofQeFEGJ5mG/MJD+6CyHOKwgCjuWr+H7AxvY0zYkomqLOFKVULJfj+Qrz+dlztq1tzw8wHY/BQk36DgohxDIjp8eFEOe10EUp0ndQCCFWDgkWhRDntRhFKaul4bYQQqx2EiwKIc5rsYpSpO+gEEIsf3JmUQhxXtP9Fieqs7ewmqjatKQjF9RvcaEEQUDZcpms2pQtd17nJoUQQsyf/EgvhDiv6aKUkukyWKiRS0QwNBXH82eqoRtRlDKf+dJCCCEujQSLQoh5WW5FKdPzpSuWSy4RIaKr2K7PUMGkZLrzbuUjhBBibhIsCiHmbbkUpVzO86WFEGKpSbAohLggy6EoReZLCyHE0pECFyHEiiPzpYUQYulIsCiEWHFOb+UzG5kvLYQQC0feSYUQK85ya+Uj7XuEEKuZHOYRQqw4y6mVj7TvEUKsdhIsCiFWpOXQykfa9wghLgcSLAohVqxGtvKR9j1CiMuFBItCiBWtUa18pH2PEOJyIQUuQghxEaR9jxDiciHBohBCXARp3yOEuFzIu5gQQlyE5da+RwghFosEi0IIcRGm2/ckozqDhRqm4+H5AabjMVioLWn7HiGEWExy6loIIS7ScmjfI4QQi02CRSGEuASNbN8jhBBLQYJFIYS4RI1q3yOEEEtBziwKIYQQQoi6JFgUQgghhBB1SbAohBBCCCHqkmBRCCGEEELUJcGiEEIIIYSoS4JFIYQQQghRlwSLQgghhBCiLgkWhRBCCCFEXRIsCiGEEEKIuiRYFEIIIYQQdUmwKIQQQggh6pJgUQghhBBC1LXqJt8HQQBAsVhs8EqEEEIIIZav6VhpOnaqZ9UFi6VSCYDe3t4Gr0QIIYQQYvkrlUpks9m6n1eC84WTK4zv+wwMDJBOp1EUZVFfq1gs0tvby4kTJ8hkMov6WpcrucdLQ+7z4pN7vPjkHi8Nuc+Lb6nucRAElEoluru7UdX6JxNXXWZRVVV6enqW9DUzmYz8gVlkco+XhtznxSf3ePHJPV4acp8X31Lc47kyitOkwEUIIYQQQtQlwaIQQgghhKhLgsVLEI1G+eIXv0g0Gm30UlYtucdLQ+7z4pN7vPjkHi8Nuc+Lb7nd41VX4CKEEEIIIRaOZBaFEEIIIURdEiwKIYQQQoi6JFgUQgghhBB1SbAohBBCCCHqkmBRCCGEEELUJcHiArnjjjtYu3YtsViMrq4u7r33XgYGBhq9rFXl6NGjfOITn6Cvr494PM6GDRv44he/iG3bjV7aqvLnf/7n3HTTTSQSCZqamhq9nFXhm9/8Jn19fcRiMbZv385PfvKTRi9pVXnuuef4yEc+Qnd3N4qi8E//9E+NXtKq8/DDD/Oud72LdDpNe3s7d911F/v372/0sladRx55hGuvvXZmcsvOnTv5wQ9+0OhlSbC4UG699Va+853vsH//fv7xH/+RQ4cO8dGPfrTRy1pV9u3bh+/7fOtb32Lv3r381V/9FX/913/N5z73uUYvbVWxbZuPfexjfOpTn2r0UlaFv//7v+ehhx7iT/7kT3j11Vd53/vex+23387x48cbvbRVo1KpsG3bNr7+9a83eimr1rPPPsunP/1pdu3axVNPPYXrutx2221UKpVGL21V6enp4ctf/jK7d+9m9+7dfOADH+DOO+9k7969DV2X9FlcJE8++SR33XUXlmVhGEajl7NqfeUrX+GRRx7h8OHDjV7KqvO3f/u3PPTQQ0xOTjZ6KSvajh07uP7663nkkUdmHtuyZQt33XUXDz/8cANXtjopisITTzzBXXfd1eilrGqjo6O0t7fz7LPP8v73v7/Ry1nVmpub+cpXvsInPvGJhq1BMouLIJ/P89hjj3HTTTdJoLjICoUCzc3NjV6GELOybZuXX36Z22677YzHb7vtNp5//vkGrUqIS1coFADk/XcReZ7H448/TqVSYefOnQ1diwSLC+gP//APSSaTtLS0cPz4cb773e82ekmr2qFDh/ja177G/fff3+ilCDGrsbExPM+jo6PjjMc7OjoYGhpq0KqEuDRBEPDZz36W9773vVxzzTWNXs6q8/rrr5NKpYhGo9x///088cQTbN26taFrkmBxDl/60pdQFGXOj927d89c/wd/8Ae8+uqr/OhHP0LTNH7rt34L2eU/vwu9zwADAwN8+MMf5mMf+xi/+7u/26CVrxwXc4/FwlEU5YzfB0FwzmNCrBQPPPAAe/bs4dvf/najl7Iqbd68mddee41du3bxqU99ivvuu48333yzoWvSG/rqy9wDDzzA3XffPec169evn/l1a2srra2tbNq0iS1bttDb28uuXbsanj5e7i70Pg8MDHDrrbeyc+dO/uZv/maRV7c6XOg9FgujtbUVTdPOySKOjIyck20UYiX4zGc+w5NPPslzzz1HT09Po5ezKkUiETZu3AjADTfcwEsvvcRXv/pVvvWtbzVsTRIszmE6+LsY0xlFy7IWckmr0oXc55MnT3Lrrbeyfft2Hn30UVRVkuPzcSn/L4uLF4lE2L59O0899RS/9mu/NvP4U089xZ133tnAlQlxYYIg4DOf+QxPPPEEzzzzDH19fY1e0mUjCIKGxxISLC6AF198kRdffJH3vve95HI5Dh8+zJ/+6Z+yYcMGySouoIGBAW655RbWrl3LX/7lXzI6Ojrzuc7OzgaubHU5fvw4+Xye48eP43ker732GgAbN24klUo1dnEr0Gc/+1nuvfdebrjhhpls+PHjx+Ws7QIql8scPHhw5vdHjhzhtddeo7m5mbVr1zZwZavHpz/9af7u7/6O7373u6TT6ZlseTabJR6PN3h1q8fnPvc5br/9dnp7eymVSjz++OM888wz/PCHP2zswgJxyfbs2RPceuutQXNzcxCNRoP169cH999/f9Df39/opa0qjz76aADM+iEWzn333TfrPX766acbvbQV6xvf+Eawbt26IBKJBNdff33w7LPPNnpJq8rTTz896/+z9913X6OXtmrUe+999NFHG720VeV3fud3Zt4r2tragg9+8IPBj370o0YvK5A+i0IIIYQQoi458CWEEEIIIeqSYFEIIYQQQtQlwaIQQgghhKhLgkUhhBBCCFGXBItCCCGEEKIuCRaFEEIIIURdEiwKIYQQQoi6JFgUQgghhBB1SbAohBBCCCHqkmBRCCGEEELUJcGiEEIIIYSo6/8DR9HF+htrFOkAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"from scipy.special import expit\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.model_selection import train_test_split\n",
"\n",
"rng = np.random.default_rng(0)\n",
"n_samples = int(2e3)\n",
"x = rng.uniform(low=-3, high=3, size=n_samples)\n",
"X = x.reshape((n_samples, 1))\n",
"\n",
"\n",
"def true_y_mean(x):\n",
" return expit(x) - 0.5 - 0.1 * x\n",
"\n",
"\n",
"def true_y_std(x):\n",
" return 0.1 * np.exp(-(x**2) / 0.9)\n",
"\n",
"\n",
"y = rng.normal(loc=true_y_mean(x), scale=true_y_std(x))\n",
"X_train, X_test, x_train, x_test, y_train, y_test = train_test_split(\n",
" X, x, y, test_size=0.5, random_state=0\n",
")\n",
"\n",
"\n",
"def plot_data_generating_process(\n",
" x,\n",
" y,\n",
" plot_data=True,\n",
" max_scatter_points=1_000,\n",
" plot_mean=True,\n",
" plot_90p_pair=True,\n",
" color=\"C0\",\n",
" random_state=0,\n",
" ax=None,\n",
"):\n",
" x_grid = np.linspace(x.min(), x.max(), 100)\n",
" if ax is None:\n",
" _, ax = plt.subplots(constrained_layout=True)\n",
" if plot_data:\n",
" rng = np.random.default_rng(random_state)\n",
" if x.shape[0] > max_scatter_points:\n",
" idx = rng.choice(\n",
" np.arange(x.shape[0]), size=max_scatter_points, replace=False\n",
" )\n",
" else:\n",
" idx = slice(None)\n",
" ax.scatter(x=x[idx], y=y[idx], alpha=0.2)\n",
" if plot_mean:\n",
" ax.plot(x_grid, true_y_mean(x_grid), label=\"$E[Y|X]$\", color=color)\n",
" if plot_90p_pair:\n",
" ax.plot(\n",
" x_grid,\n",
" true_y_mean(x_grid) + 1.645 * true_y_std(x_grid),\n",
" linestyle=\"--\",\n",
" color=color,\n",
" )\n",
" ax.plot(\n",
" x_grid,\n",
" true_y_mean(x_grid) - 1.645 * true_y_std(x_grid),\n",
" linestyle=\"--\",\n",
" label=r\"$Q[Y|X]$\",\n",
" color=color,\n",
" )\n",
" return ax\n",
"\n",
"\n",
"_ = plot_data_generating_process(x_train, y_train).legend()"
]
},
{
"cell_type": "code",
"execution_count": 262,
"id": "2bbfc0bb",
"metadata": {},
"outputs": [],
"source": [
"from sklearn.base import RegressorMixin\n",
"from sklearn.linear_model._base import LinearModel\n",
"from scipy.optimize import minimize\n",
"from sklearn.metrics import mean_squared_error, mean_pinball_loss\n",
"import warnings\n",
"from functools import partial\n",
"from sklearn.exceptions import ConvergenceWarning\n",
"\n",
"\n",
"def pinball_loss_gradient(X, y, coef, intercept, quantile):\n",
" y_pred = X @ coef + intercept\n",
" error = y - y_pred\n",
" mask = (error >= 0).astype(X.dtype)\n",
" weights = -quantile * mask + (1 - quantile) * (1 - mask)\n",
" grad_coef = weights @ X / len(y)\n",
" grad_intercept = weights.mean()\n",
" return grad_coef, grad_intercept\n",
"\n",
"\n",
"class NaiveRegressor(RegressorMixin, LinearModel):\n",
"\n",
" def __init__(\n",
" self,\n",
" loss=\"squared_error\",\n",
" quantile=0.5,\n",
" alpha=0,\n",
" l1_ratio=0.1,\n",
" tol=1e-6,\n",
" max_iter=10_000,\n",
" verbose=False,\n",
" ):\n",
" self.loss = loss\n",
" self.quantile = quantile\n",
" self.max_iter = max_iter\n",
" self.alpha = alpha\n",
" self.l1_ratio = l1_ratio\n",
" self.tol = tol\n",
" self.verbose = verbose\n",
"\n",
" def fit(self, X, y):\n",
" params = np.zeros(X.shape[1] + 1)\n",
" n_iter_holder = np.zeros(1, dtype=np.int32)\n",
"\n",
" if self.loss == \"squared_error\":\n",
" loss_fun = mean_squared_error\n",
" elif self.loss == \"quantile\":\n",
" loss_fun = partial(mean_pinball_loss, alpha=self.quantile)\n",
" else:\n",
" raise ValueError(f\"Unsupported loss {self.loss:!r}\")\n",
"\n",
" def objective(params):\n",
" return (\n",
" loss_fun(y, X @ params[:-1] + params[-1])\n",
" + self.l1_ratio * self.alpha * np.linalg.norm(params[:-1], 1)\n",
" + (1 - self.l1_ratio) * self.alpha * np.linalg.norm(params[:-1], 2) ** 2\n",
" )\n",
"\n",
" def iter_cb(params):\n",
" n_iter_holder[0] += 1\n",
" n_iter = n_iter_holder[0]\n",
" if self.verbose and n_iter % 10 == 0:\n",
" loss = loss_fun(y, X @ params[:-1] + params[-1])\n",
" print(f\"{self.loss} at iteration {n_iter}: {loss:.6f}\")\n",
" if n_iter_holder[0] >= self.max_iter:\n",
" warnings.warn(\n",
" f\"Fail to converge after reaching {self.max_iter} iterations\",\n",
" ConvergenceWarning,\n",
" )\n",
" raise StopIteration()\n",
"\n",
" result = minimize(objective, params, tol=self.tol, callback=iter_cb)\n",
" params = result.x\n",
" self.coef_ = params[:-1]\n",
" self.intercept_ = params[-1]\n",
" self.n_iter_ = n_iter_holder[0]\n",
" return self\n",
"\n",
" def predict(self, X):\n",
" return X @ self.coef_ + self.intercept_"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "54308019",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(23, 65, 108)"
]
},
"execution_count": 267,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.pipeline import make_pipeline\n",
"from sklearn.preprocessing import SplineTransformer\n",
"\n",
"n_knots = 7\n",
"shared_params = dict(\n",
" tol=1e-4,\n",
" max_iter=1000,\n",
" alpha=1e-6,\n",
" l1_ratio=0.1,\n",
")\n",
"poly_reg_triplet = (\n",
" make_pipeline(SplineTransformer(n_knots=n_knots), NaiveRegressor(**shared_params)).fit(\n",
" X_train, y_train\n",
" ),\n",
" make_pipeline(\n",
" SplineTransformer(n_knots=n_knots),\n",
" NaiveRegressor(loss=\"quantile\", quantile=0.05, **shared_params),\n",
" ).fit(X_train, y_train),\n",
" make_pipeline(\n",
" SplineTransformer(n_knots=n_knots),\n",
" NaiveRegressor(loss=\"quantile\", quantile=0.95, **shared_params),\n",
" ).fit(X_train, y_train),\n",
")\n",
"tuple(int(getattr(e.steps[-1][1], \"n_iter_\", 1)) for e in poly_reg_triplet)"
]
},
{
"cell_type": "code",
"execution_count": 268,
"id": "68369573",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_model_triplet(models, x, y, ax=None, color=\"C1\"):\n",
" x_grid = np.linspace(x.min(), x.max(), 100)\n",
" X_grid = x_grid.reshape((x_grid.shape[0], 1))\n",
" if ax is None:\n",
" _, ax = plt.subplots(constrained_layout=True)\n",
"\n",
" ax.plot(x_grid, models[0].predict(X_grid), label=r\"$\\hat{E}[Y|X]$\", color=color)\n",
" ax.plot(\n",
" x_grid,\n",
" models[1].predict(X_grid),\n",
" linestyle=\"--\",\n",
" color=color,\n",
" )\n",
" ax.plot(\n",
" x_grid,\n",
" models[2].predict(X_grid),\n",
" linestyle=\"--\",\n",
" label=r\"$\\hat{Q}[Y|X]$\",\n",
" color=color,\n",
" )\n",
" return ax\n",
"\n",
"\n",
"ax = plot_data_generating_process(x_train, y_train)\n",
"ax = plot_model_triplet(poly_reg_triplet, x_train, y_train, ax=ax).legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f73e8990",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "dev",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.13.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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