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698b65391be96bb13e798b384b10fc4f
mooc-rr
Commits
6882012c
Commit
6882012c
authored
Dec 15, 2025
by
698b65391be96bb13e798b384b10fc4f
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exercice.ipynb
module2/exo3/exercice.ipynb
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module2/exo3/exercice.ipynb
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6882012c
{
"cells": [],
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Koqx2tElPUVysz9SKMOszBdZUM1ajia3VY/zY8TyJmDCYSfRVIPeioS1sG5c/zSl0irSmWNgpeluG0pTc17BXFos9u3c1vTdg7cTjGWO+KyJnhtz1QeCPgH9e1gUpiqKsAbSCrCgu68Vn6jWxhVWQj+c5bWOOXDLeN4Hci4a2qG38813ONjbmUk0V5L37pvizr/4HAL/08R/wb48eB3pXJbf+7sG0U1NYi/F4fkTktcCUMebHXTz2jSJyh4jccfTo0WVYnaIoysqjAllRXNayz9SPFfn5SlgFeYHTN+ZIJWI9sx8E6cWJRtQ2PvHdRwAYG0yTL9eo140npmeLjmA+MFPk47c6j+tVBRkckfwrzz2dbDLObddesZbFcQ54J/Cubh5vjPmEMeZSY8ylmzdv7u/iFEVRVgkqkBXFZY37TAGnYlqtO9m/+YAFwRjDE8fznLHJEcj9qiD34kQj6rHWRjE2lAIawjsopkt9SuooV+teA+Aa5hzgLODHIvIYsBP4kYhsW9FVKYqirCL6JpBF5DQR+baI3C8i94nIf3Zv3ygi3xSRh9zPG/q1BkVZDN3kCK92/EJxIdDEdjJfYa5U5YxNA45A7lOKRS9ONKIeu3HAEcZjg2nA2cd2wrvX+1iu1b0GwLWKMeYeY8wWY8yZxpgzgf3AJcaYQyu8NEVRlFVDP4/0VeAPjTEXAM8D3iIiFwLXAt8yxpwLfMv9XlGWhXYpFdZnmnEF0Jah9JrzmRZ8jXnBnODHjjsJFmdszJGK976CbJ/bsGl+iz3R2LN7F+mAEM0m41z1rB2AE+UGTpW8nfDu9T5WqnWS8bUlkEXkc8APgF0isl9Efmul16QoirLa6duR3hhz0BjzI/frOeB+YBy4Cvhr92F/DUz2aw2K4qeb5rHJiXEu3DEMwGf/38vWlDiG5uizYE7wE24G8pljvbdY+J/bIEtpaJucGOcPXnZuyzaesXMUgLGhRgU5rPJvT3J6XUGurMEKsjHmGmPMdmNM0hiz0xjzqcD9Zxpjjq3U+hRFUVYjy3KkdyOGJoDbga3GmIPgiGhgS8TPaOe00lO6bR47sVAGei+ulgP//hUCAvmx4wuIwM4NOVKJeE8HhYQ9twCJmCy5oe3ZZ2zwPttt2Og6a7HIl2te5d8yPprlT668EHAqvr2kUjNrroKsKIqiLJ6+H+lFZBD4EvBWY8xstz+nndNKr+m2eez4vCuQ1+IgjXK4B3nvvik+fusjGAMv+4tbOTFf8rKCe0HUc2sbBpfCTKECwKz7GRoV8rFBx4tso+xe+XSnv2zP7l3cdu0VXOUK8n54kFUgK4qirH/6eqQXkSSOOP57Y8xN7s2HRWS7e/924Eg/16Aolm6ax0rVGnOu6FqLAjnf5EF2vg4bgHL/wVmOL5R69nujnttTyXuwwnimSSC3VpD9jxnNJQFIuSK2Ulu6QA+jUquTWvspFoqiKEoH+pliIcCngPuNMX/pu+vLwOvdr1+PTnFSloluUipOLjTEWLnWuwrrchGWYhFmf6gZOOHb11Ml7LlNxASDEy+3FGyu8WyxWSCn4jFGso4QthXkk3mn6j+adSrLNoqt11nP5TXYpKcoiqIsnn4e6S8Hfh24QkTucj9eDdwAvEJEHgJe4X6vKH1ncmKc/3bVRd73Yc1j/qrqWqwgW4vFYDrhVVej7A+1U7A/BLE+YFu5HR/N8irX9hDmTe4GW0EuVuqUqs42CuUq2VScAXeind3H6XxzBVlE+pLUUVGLhaIoylOCRL82bIz5PtFXWF/Wr9+rKO14xYXbgLs5b+sg33jbS1rut/5j6H31cTmwgnHTYGMU847RbGi6hPTYKTA5Mc5n/u9jjGST/M1vXsbf/tvjfOXug8yXquRSiz/U+CvHc8Uq6cE4+XKNXCpOLuVUq22V3ApkW1kGp4rcy0l6AOWaIZtSgawoirLe6ZtAVpTViBVUC6XwqqZNsID+VpD37pvixpsf5MB0gR2jWfbs3rXopIewbdhqrR3FDI794e1furtJ8MdjQqwPVtpKteHRHbAitlSDocVva7ZQ9X1d8fYpl4qTTsSIx8TzWc8UnNdtgztIBOjLtED//imKoijrFy2FKE8pbFU1H5gyZznuF8h9innrJo95qdu487ETAGwaSHn+3MmJcX7vped4Pzs+muWKXZvpocPCw58TbG0QC6Xw57oT/uY860fOl51qtIiQS8VbKsijvgpyKhHreQV5LeYgK8p6Y/vO0xGRnnwoShRaQVaeUtjKcXCIhuXEMniQ2+Uxd1tFjtrGdx86RjwmjGSTTYkWzzrNyRT+4pufz6VnbuTD//oQ37z/CLW6Id7DUrI/Bm3wFAXybLHi+IhrdU8s58s1sm5leiCV8CrI04UKybh41guApHqQFWVdcmjqSc54+1d7sq3H339lT7ajrD/0SK88pbCisVyth1YXj8+XPZHVL4HcbR7zUrYxX6qSSzpNbH5hahveht0Kq62C9nMUs1dBjqjWd2K2UGF8Q9b7GvAsFgC5tL+CXGYkm2qqCKUSsZ4OQwEdFKIoivJUQSvIyqLohXd2JfFbK/LlGiPZZrFzfKHMtpEMjxxd6JtAjmqai8oSXsw2cqm4m/IQb6ow2wrsSIhAzqbiLdtZKmWfBWEw7Wx3PsTv3c37aK5Y5ezNAzx6bMFr2MuXq5yeygFuBdmXYmETLCypeKznk/RKGvOmKIrylECP9ErX9MI7u9L4rRVhPuQTC2W2DWeA/nmQ9+ze1WJrCOYxd7ONZLx1G+dvGyKbipNLJajUjCfyrcAczjQL5FKPs57L1boX9WaTK4IWi27fR7OFCjs35NyvnW0UfBaLXCrubXs6X2nyH4PbpNcPD7I26SmKoqx7VCArXdPOO7tWyPvEWliSxYmFMhsHUn1JQLBMToyzdSjtfR+Wx9zNNnZftLVlG5sG02STjRg0exIwU3D8vJmk8yefjvfJYlEznnCPatLr5n1UqxvmSlW2DKVJxqVRQa40LBYDvqzn6UJEBbkPAlkryIqiKOsftVgoXdML7+xK06mCfGy+xKaBFOl4rG85yKVqjSNzTjPgrz73dN73uouXtJ1xt7r6ppeczXWvugCAL965n1wqzoCt3pZrjOacCuxwNuF5dNPJ/ghkv8WiKebNRzfvo7liwxIynEk2PMilmleZ9qdYzOTLXLRjuGl73TTpLdYyVKnVSWqKhaIoyrpHj/RK10R5ZBfjnV1pCuXoCnK5WmeuWGXTYLovl+ctDx2ep+pmrOUj0jS6wdoO/HnBhYpjQci5/l9bMZ8tVLwGPcCzQfTyJKBWN9TqjSa2hFuxDjbpdfM+svs0nE0ynE0yU6hQrdUp1+qNCnIgxSLcYhGdZbdYy5AxhkrNeM+doiiKsn7RI73SNXt27/Iu0VsW651dadpVkE/mnQzkflss7p2aAZwK61Ij0KCR7OCfOJcv18gmE14F2Qrw2WLF8x9Df1IsrJ3BnxM8mE4wH9jHPbt3kU02NwYG30cNz3SC4WyS2WKVvGvLCKZYlKo18uVai8WiUwV5sZahiiu2NQdZURRl/aMWix6z1lMe2jE5Mc7JfJn3fuU/AMf3utb2r8mDHKje2jHTm/oskO87MMtQOsHZWwZbBNpisCJy1jdQo+hWkLOBUcwzhQobcs1T5qC3jYh2W/4Kay6VaDkJsO+X//KFu6gbRxwHPdizBb/FIsFsoULBfb2acpDLNWbsmGnf/gGkEzHK1ejnd7GWIXsCEGyOVBRFUdYfWgrpIesh5aETF4+PAE4V77Zrr1i14njvvikuv+EWzrr2a1x+wy3ea7BQrnkJEvmAcDvuDgnZOJByBlT0q4J8YIYLdwwzlG4Vj4thxqsg+6Pr3BxkW0F2LQhRFoueVpCrVkA2DivBPGbLqy7ehjU/nLd1sOV95FWQXYvFbLHibcfuWy4dp1Y3HJ51Xrcwi0WljcVisZahcsj+rQVE5NMickRE7vXddqOIPCAid4vIP4nI6EquUVEUZbWxto70q5z1kPIQJSwtB2aKQG+9q72m3YlKvlxl04BTaQxWkE+4Y6b76UGu1Q33H5zloh0j5FLxU/QgOyJyrhCwWPg8yP4K8ki2ccGoPxaLVgvCYDreYrEAODBdxBjHQvHI0QWMaRayTR7kTJLZQtV7rvwVZMDLg261WEjb/evG6tG8f2tTIAOfBV4ZuO2bwNONMc8AfgJct9yLUhRFWc2suSP9amatpzx0UwG3+1KrG6p9amI7VdqdqCyUaowNOhFrLRXkZbBYPHJ0nmKlztPHh53q6hKnzEF4BdlaLPweZGMMs8WqNyQEfDnIPdzHsAqrP4rNz/6TeQBeeO4Yc6UqR+dLTffbfXM8yAlmixXvNc35cpCh8Z4czTZbLJwKcvT+TU6M897XXuh9PzaYahu3F2YhWQsYY74LnAjc9g1jjH3j/Buwc9kXpiiKsopZW0f6Vc5aT3nopgLuF/v9Snk4VdqdqBTKNUaySVKJWGgFOR4T5/4+WSzuPeA06HkV5JAs5m6wohcadoRKrU6lZsglfSkW5RoL5Rq1umlq0ksnnPtLbTy6i6Uc4tEdCGnSA9h/0nmNXnLeZgB+emSh6f7ZYoWYOFXikWyScrXOSbfC789BBp9AXmSTHsBzz97kff3u11zUIeLNqXInE+vOg/ybwL9E3SkibxSRO0TkjqNHjy7jspTVwPadpyMiPfnYvvP0ld4dRekabdLrIXt27+LtX7q7qSq3llIeuqmAH5guel+Xq3UCfVGrgnajnBfKVbaPZBhIxVtSLI4vlNiQSxKLCalErKky2wv27pviT/Y6NtD/97P/zq6tg0uuIFvRO5pLMp2vUKzUvPddNhUnl2zEvAXHTIPTwAa9tVjYbaX9FouQJj2AJ0/kScSE5589BsAjx+Z5/jkNsTpbqDCUcV4LK+wPzTrvPX8OMsCBmXCBnErEKHU4ibN51ACHZ4ttHulL6Yj3bjT3SiMi7wSqwN9HPcYY8wngEwCXXnpptKlbWZccmnqSM97+1Z5s6/H3X9mT7SjKcqAV5B4yOTHO659/hvf9UiakrSTdVMD9Ynm1+pDbeUsdj27CTVdoTbHYNODYL9I9tlhY+8q8+zsPTBf53kPHKVbq1OqL1xxW9J5mRzEXHZEMjkBOxGNeldx6lYdDLBa9vAoQ5tHNpeOhEwv3n3RSXnZuyJJJxnjkaLCC7Aw28a/74IwVyM0V5KmTBeIxYTDdfL5vJ+kF/c1+jsw2BLLdfhQNC8n6qCCLyOuBK4FfNe2eJEVRlKcgKpB7zNO2DgHw8gu2ruqUhzD27N7V4q8MVsAPzBQ88dmvlIdTZXJinOuvvtjbF7+3dKFUZSAVZyDdWkG2Y6bBHTLRQ/tBmH3FDgtZStSbFb07N2Td7xtNbI1BGs4+hlWQ+5JiESKQB12fdVB/7T+ZZ+eGLLGYcOamAR45Ot+yf3a9wxlH+B52BWw24EGemi4ymk16UwItqXgMYxrPcxhH5pxtjmSTXoW64/6tgxxkEXkl8HbgtcaY/EqvR1EUZbWx9o/0q4yj7iXb1erPbcfkxDjXXHaa932wAp4vV5nOVzhzbADorX+110xOjHP2Zmedf3rV03374IwqzqUSoR7kjYOuQI73NsWiXaNmsFmwG2aCArnoywlOWguCUyX3Ksh9HhRit+VPsRhIJzCm9STgyZMFr/p9zuZBHjnW6kG267UV5KDFwjYiHpsvMRKwV/jX0a5R78hciURMOH/bEIe6rCCvtSY9Efkc8ANgl4jsF5HfAj4KDAHfFJG7RORjK7pIRVGUVYZ6kHvMMbcbv5fVx+Xkoh1OzvH/c8lO/uIXn9l0n/Ufnz02wP0HZylWVvdJgJfy4H42xpAvVxlIuxXkgDA9Nl/yIuB6nWIR5YuG1ri5bmhUkB2ROVesYtJOpdSLQUvHKVQiKsj9EMghFWRrg5gvVT1hW6zUODpX8sT9OZsH+Jd7D1Kq1rzmwZlChbPHBoGGsLcC1l7BsI2I0JqB7F9HO6/80bkSY4Npxkez3P7oifAHuXhNemtMIBtjrgm5+VPLvhBFUZQ1xNo60q8BjrlRYavVftCJOVc0hjVW2SromWOOKFvtVXIrIq1ALFXr1A2hFeQv3fkks8VlkbALAAAgAElEQVQqf/ODx7n8hluYOpnv6Wvo+KKb/9xSrpd1KcNCPA/yRmuxqLRYLLK2gly0mcKN8+FETIhJb33kXg5yvDkHGWjyIdsThZ3u2s/ePEjdwBPHG1f6ZwsND/KIr4KcSca8QS+2ggwwGqKAuzkJODJXYstwmq0jGQ7PFqm3sWPoJD1FUZSnDlpBXgTdjJE+toYtFtAQa2HpCp5A3uRaLHpcQe7lmO5Kre4JYCsmvUls6XhTisXefVO885+8IWNMTRc4NFuklzpocmKcSq3Oni/eDTj2ldc8czsfu/WRpXmQXdG709ekZ9MjbIU16EEe8lksRKTnw1DCLBa2auw/CXjyhCOErcXCWmF+enSec10Pv99iMZRpZDpbjzjQ1IgZTLAAn8+6ncVitsjODVm2j2So1g3HF8psHkqH79/aHRSiKIqiLBI90ndJt2Okj3oWi7UpkG1mbfj0swIxgdM39r6CHPb8vvXzdzHxp99Y0qjuWd90OSsQvUlsyTi5dCPF4sabH6QYeL1qdUO5zZjipfCzF20D4I9/7gJuu/YKXnGh8/1SK8gijtAGp+JaqDRPmvN7kIfSCa/yaukm67nTZEU/YRXWQZ/FwmIzkK24/w83G/rNf/cjLr/hFr5055PkyzXPe5xJxlvEP0AsJl61PDgkBLqrIB+dK7F5KM3W4QxAWx+y3b/0OmjSUxRFUdqjR/ou6XaM9LF1IpBDLRYzRbYOZzxfaWkJlc8owp5fgJP5SuiJSCdmQgSyrYoPpBNNFeR2DXTtLrkvlmCFdcA3zGOxzBYqDKYT5FJxknFhtthqsbBJHbOFSlPEmyWViLe1WHR7UujtXy28SQ+a30/7TxZIxWNsGUqzd98U7/3K/d59U9MF3ulmRfs903b9A+nm+D5boQ6tIHtNeuGvYaVW50S+zOahDNtHXIHcJsliDY+aVhRFURaJHum7pJshGpVanem8nWq2NmNF54tWILeKtgPTBbaPZLwKWi/9q+1EatiJSCdCBXKpISBzKWcEcr1u2k467EdOsL30PxBiP+gWG4MmIgxlkswW/CkWjQpyvlxz7AohArlT1nO3J4WWsJQHz4PsOwl48mSecTfiLex32OZPv2faRr1lU82uMCuYwwRyskOU3fH5MsbAlqE027wKcvT7sFK1k/T0sKkoirLe0SN9l3QzROO426AXj8mqHaLRiYUOFosdo9m+JCB0GsfdTkCH4flu0wnPbmEF5EA64QmrQqXGnt27Whqv7Pf99OhaK8SSKsj+GLRMgrlimMUiTr5cY6ZQYSTb2m7QyYPczUmhn7AKa1QF2SZYtHtd/bF0tpqcS4ZXkEdCK+TWgxz+/NoM5C1DaTYNpknEpG0FuaRNeoqiKE8ZVCB3SbvpbBabgbxtOLNmY978KRb+4Q7GGA7MFBkfzXpRXL08Cdize1fTpfkgnQR0ECuQT9+Ua7FY2AqyvW1yYpwXn7cZAMHx9b72mTuA/sag2QryUgTyjH+QRjbp5SDHY+KrUMdZcJv0/GLTkk7E2tpkujkp9FMJsVgEm/T27pvinv3TfO+hY1x+wy2hlV/LcIjFwtpHLAPWgxySYuGd5FTDr+bYKXpbhjPEY8KWoXTbaXqVNZqDrCiKoiwePdJ3iZ3OZjvqNw2kWsZIW//xjtHMmk+xqNZNkwA+vlCmXK0HKsi9OwmYnBjnt194Vuh9wRORbrBV49M25HxNelYgNyrIedd2sTGXYttwhkdv+Dluu/YKnnPmRqC/gzQyyRgitEz0g87Ncf4YtGHXYpEv18gm495EuZw7pOPwbCmywtrufbpn966WhrR2r0VjFLOvguwK2PlSlb37prj2pruxtu6p6QLzxWpk9d4v6u3XucA4aft9WA5yusM4bdtQa1MrtrlRb1GoB1lRTpG4Yws71Q9FWQ405m0RTE6Mc//BWT7+3Ue4/uqLvVQCy1FPIGe58/GTK7HEU8ZvrZgvVckk4+zdN8X7vu40Un34Ww+R6YMHGeCyszbyV9/5Kf/5Zefy/93+BEfnS2wcSPGuKy9cdNybPyf4m/c71XDrQR4IVJDBOQHYNNioQvZzkIbdtogwkEq0+L1tc5y1TNjmOMB7HporyAkOzRYpVKqevcLuZ/CxfjqlWExOjHPP/mk+ddtjgFNZbxe9V/YGaTT+gSXiMTLJGAulqpMWEogGrNQNo9kkA+kEU9MF4jHhdRPjfOGO/c0eZPdrv8Vi774p/v3R4wC88W/v4LpXXdC0tlTceWwlYh9tBXnzYEMgP3BoLvL5UIGsKKdIrcIZb//qKW/m8fdf2YPFKEp79Ei/SKxoCUtcsBaLHaNZ6gaqa7CKvFCqknEHWiy4Vb/rbrrH27cTC2Xe/ZX7gN4L5KorsF5+wVb+4U3PA+Ddr1m8OAZHFGaSMcYG09TqhoVyrVFBTida7A3H5p2JapZUh+qjZVExaCGX6HO+NA1LN81xzR7kRpOe34KQS/kFZkQFucNreJob6Qfw7f/6M21fi3K1Tioea6nwDKYTzJdqkX7jmUKF2669gj+96iJqdePF0TWlWLj7ak8A7PvSCu7Ds6WWhI1kor2P/MhckQ25pPdabxvOcmim2GQtatq/kBMARVEUZX2iAnmR2EavMN/osfkSA6m49499NdssooTdXLHqdfTPu1W/qJSBXkfZeRW6hDDkXjqfKy4+4QEcC8JINum9FjOFilepdXKQ7YQ3Z/vH5krNFeQOCQjQmxi0XCreMmq6U3NcpVYnX655+zaUSXgxb36fvF8sL8ViAU60n8VeIYmiUquHiseBdIJ8udrR0/zSXVsA+NrdB0nEpGlfRgIxb92cRNjXsBIpkEtsGcp4328bSZMv1zwfftj+hZ0AKIqiKOsPFciLxP5TDhfIzhSubsTVShIl7L5055OUqnW2uAJ5oU3VD6DU40ZEfxNbWPrBYrC2Ak8g5ysUKo6AjMekqYJsjOHYQtm71A4NEduuSr7UGLRkvLmJrRCoIHcSktZfbavCw5kkxUqd2WKlyWLh9+sOh6VYdDEoxP/6txuiAa5ADmm0dAaWVNmzexfxgLj0e5pP25jjaVsGmS1WGXYj7BrrT3rbCq4rar32eY56De2Yacu2kWzb/axUw08AFEVRlPWHCuRFUrQWi5DGqmNzzmX6ZB/8q70kSth94Bs/AfAqyAul6KqfSD8qyO4l7FiMXCqOSHjcXDe0CORChYVS1auq2s8LpSpzpSrlan3RHuSlxqClmmLQ4i0e5D27d7VMvfMLSeuv9qdYgOOpzYV4kP2P9dONxeLAdIENbtJEuwY2aFgsggym48yXnLSQHaNOjrZNCwk2up62wXnvnVgoN13ZeODgLOC8d9ulX/jfr+kOr+GxuVLTSdG2DtP0yhEnAIqiKMr6Q5v0Fkm7CvLR+RJP2zxIOt6df3Wp7N03xY03P+jlErdrnAojSsBZYbDVrarNu1U/f8MYOGItEeuHB7lhsRARBlOJSItFp+dgplBhx2jGE48zbsqDtVbYCnW+XPPyq/0e5E4JCOCIsamQ5zLqpKJUDbNYJJjOl5se96qLt3HdTXdDPEahUiOdiDUJyVn3OfFSLNzPh2aLnL15oGnblvCYt/aT9AAOTBeZOH0DtzxwpLNArtVDG9gG0gl3KIfhxEKZay47nfe89qKWx+3dN8VtD5/wvrdXNu54/ARf+OH+ptuTMSEZl6aBPMGEjWQbi4Uxxhkz7asg3zM1DcBvfPrfQxsSKxH7pyiKoqw/9Gi/SDp5kMeGUn1JQLAs1vcaRpSAs3FXW30VZBtvZyuDtuo3OpDqnwfZ/V2DmUSoxaKb52DGHa9sK6ezbgXZWiu8CnK56sXzbfJbLNwEhHb7GDZgpJsYtJYKcuC99O0HjlCo1PnYrz+b337hWRjglU9vJKa0VJBd8Zsv15omzfnHMkdVkNsJ5EqtzuG5Ik/fMUwqHms7RMN5vAnNsh5IO6/jwZkiC+UaT9syGPrzN978YMsJSaFS43O3P9lye6VuGEglGB/NRlaj2/0dTucrlGt1z4NsT7gsYe+pctVoBrKiKMpTBD3aL5KC26BWCIgaO2Z682Cm6wSEpbBY32sYUUNPrrnsNMCJu4KGvWFyYpyzNw/wsxdu5bZrr2ByYpxUvL24Wgpln8UCHGEVZrHoKuXBWixygQqyK4zTiRjxmJAv1TjuCuSxRVosJifGefG5m73vw0SaH1vt9IvIbDJB3jdE4/IbbuHNf/cjYgLH54pcfu4Y5WqdOx5rxAZ6HuRMs8XC2Z5v2z6LRfSo6Wgf+eHZIsbA+IYsW4bTXixaFOVqLdxikUqwUK7y8JF5gEiBHHVloxaRKmHTL2x2dfB5t89zpVZvaUr9hx8+AThT9IDQCLrgeyqqCVFRFEVZf6jFYpFYD3I+INC8y/RDqb406dkKV9glfVjcKObJiXGMMbztCz8GYMdIhj965fmer3Orr0nPcjJf5pk7R73vncvzvW3S81sswMaDhY+8DsPeXqsb5kpOisVgKkFMrECuetYKEXETJKocDbFYdBpTbLGV2fO3DfF/3vrito+1YtQvkAfScfKVWkv2cd3AO/fex3tecyHJuPD9h4/xwnPHgNYKsh1eA822igHf10tJsTgw7VSMt49k2Tqc6aJJz3ivnR+nglzjoQ4COcqyEhcJFcmdpismXB/3Pfun+Z/f/mlTrvT7/48jfN/7lfuo1U1XfvJKrd522qOiKIqyftCj/SLxLBYB4WZzgscG0z23WPgtBVEsdhTzyy/c6n39j7/7AiYnxj1BPJJNOsMd3EZEYwwn85WmxqhOl+eXQovFIkIgd53ykEkSi4k3ijkYgzaQSjRVkDcOLH5QyBH3de/mBKWR0tEQkTl3DVFV8Y/c8jATp23gtoePebfPhKRYWPxVY7uvqXisZSKevb2bJsQdo1m2DWc4PNc5xSKsguzYSKo8fGSODbkkmwZax0JDmysbzz2t45j3MESEVCLGbT89EZpbDk7yzHU33dNV099q8SCLyBki8nL366yIDHV4/KdF5IiI3Ou7baOIfFNEHnI/b+j3uhVFUdYSK3+0X2NENekdm++fQA4TT36WMorZiiyAkwtOBXW+5Nw2kE40idNipU65Wmc01xA26T4IZGuxsJW/wXS4B3nP7l3eYyztUh5GskknxcJXQQbIucLt2HyJ0VyySfx0exXANq7NFqsdI+nCLBYDqTjlWr1tBXPjQIp7pmY8e8Cdj58glYiRcUVjs8WiISRjMadKHoxM8/YxEWs70GbKE8gZtgynOdyhglyqRjfpGQN375/haVsGI3OErd896Cv+s8mLQ2/vpjE1FY91TEIpVGoYQ0cRXq6ZFRfIIvI7wBeBj7s37QT2dvixzwKvDNx2LfAtY8y5wLfc7xVFURQXtVgskkKExcIOUdgylPa+LvXIg9yuOrl9JMPbX3n+oqfNTecbAvm4J5CdfRpMJ7zGKnDsFUBTlS2djHuV2l5hPZ5WQA2kE8yHpFhMTozzkW89xCPHFgCnufCdr76gaQwztArkfKkWiEFLkC/XqNVNk70CustBBkcg2+0fnClG2gf822qapOcK9m0jGQ6GCNCRbJJvP3gEwGtIPDRbJJdsFtkxcWwZ/v3bu2+KYqVGvlzj8htuaUllSPv2MREi/A7OOBFvuVSCbcMZFso15ktVBtPhh41KrR56nz0peeDQHL946c7wJ8dlcmI89L0cdXsnUokYA6a1ETLITKHCB3/pWVx7090UK/XQFIsoj/Uy8xbgMuB2AGPMQyKypd0PGGO+KyJnBm6+CvgZ9+u/Br4DvL2H61QURVnT9O1oH3FZ7z0iMiUid7kfr+7X7+8H9brxKorBHOSmCnKPPcjt7BP//JbLlyQc/OL2xIKzditGB1JxBlINgWzF9Aa/xaIPTXrVwCXsoUy4xaJSq3NgpsCLXE/uO17dfIIwW3QFcq5DBTkVZ6HkVJCDl/27iXkrVmrMFqs88zTHm31wpr3NolxtPgGwawB444vPDq1girSK9FrdeM2i4FgJbBU5OIq57lp3w1IZ/Fc6wiYrHpgust0dnrG1Q0aw3U5UDrJd9zmbo08g+kEqHuPi8ZGW5zbIjtEskxPj/NzFOxgfzYY2/UV5rJeZkjHGywUUkQTOudNi2WqMOQjgfo4U2SLyRhG5Q0TuOHr06BJ+laIoytqjn+WQz9J6WQ/gg8aYZ7kfX+/j7z8lwgRD0deU5rdY7N03xf/89sMAvPwvb+V7Dzn/RHolkMO8mdbH2qkyFsVMk0CuuNuqOhnH8ViTxWLaqyD7LBbJWM+b9CqBS9gD7oAJE2jQeuDgHMVKnasvGScZFx48NB+6b/4YtOl8hWKl3lxBTie8HOSxoUAFuYuTHJvq8KydIwChFeDm/WsVkHY9Lzp3jOuvvhjrHLE2An+l30+13vycWB+yfZ90NYrZFchf/nF4bN79B2a8kzMrkI+0iXqL8uj6mwXP3drWLttzkglhu/tc2uc6KHH9VoqhTIK5Yvhzvko8yLeKyDuArIi8AvhH4Cv9/IXGmE8YYy41xly6efPmzj+gKIqyDujb0d4Y813gRMcHrkKicnZv+lFjWIFt1rOPtQ1uU9MFPvSvDwHhAwqWgvVm2svX46NZfuN5ZwBLH8U8HVJBnitWGXQTEfwT3k66Iq3JYtHFmOLFUg7EaA2mk9QNLfFbP3rCiTy77KxNnD02yE8OzzXdHzZpzlZ3/WKtkWLRPFENHP9uIibtBbLbtPYMN93j4HQXk+YCzXL+kddXPmM7AL//0qd5FcyoqwfBpjubZGFFYDepDFas/9V3fhoqpg/NlhgfdYSxHR7TLgvZqbCGe5At7Swo/cA2Ik5OjPP8szdx4fZhPvhLz4r0M9tc6uBJGdgrACsukK8FjgL3AG8Cvg788RK2c1hEtgO4n4/0bIWKoijrgJU42v++iNztWjAiO6dX8rJeVPXtf9ziVIlHc0mvghz2WHtJvJcCcnJinGsuO41cKs5t117BFRc4KRRLFchWRA6k4pxwPcgLPn+p34M8XXDu39BSQe5xikVAgNhL83Ol5orenY+fZNtwhh0jGc7bNtRRII9kk57IzgY8yNP5CnPFamiyQqdRzIfdCvLOjVnGBlMcmm1vsQirQNrJfgulGsfmy9RNI4cawq8eAFy0Y7jpe6+C7AruTkkf0KggR+UbG9/jbQX5cJss5CiLhRXIuVScHb59Ww6S8UaU3bGFMpsGU0xOjEfmJw+mk9TqpuWkDFZNzFsW+LQx5heMMT8PfNq9bbF8GXi9+/XrgX/u0foURVHWBct9tP9fwDnAs4CDwF9EPXAlL+tFVd+skNiYS1Go1Ki3yU+F3g8K8VsQ/KOSl8JMoUIiJoxvyHoC2d+A1WyxaBac0DkiDMJtKu2o1pstFraa7c9jBqeCfMkZo4gIu7YOsv9kocmrPFOoNKU8+Nftny6XSzdODoIWC+icE2wTLLYOZdg+kvVyg6NoX0GuelXu7T4RGUx2aDwH003PqR03bcV0VGSaP5XBVqE3h+y7xQrkgXSCoXSi7bjpcq1OKsSje/sjx9x9rPHC9397UVMfT5W07yTn+HyppRkzSNRJGbiTAle+gvwtmgVxFvjXdj8gIp8DfgDsEpH9IvJbwA3AK0TkIeAV7veKoiiKy7Ie7Y0xh40xNWNMHfgkTjf2qiOq+mZFlM3LLVZrbRvo+mNBcAWyWwntFGEVxUzByTXeOJBqCORi1ROQTSkWC2WyybgnOMFJsWjnQV7KSOygxcKKR3+SxZG5IvtPFrjkdOfiw3mup/UhXxXZTtGz+L+OGqQRWkHucBJwZK5EKh5jNJdk20jnQRqlEA+yfb4XyrWG4B5urrLaiucHf+lZ+Ae5+Z9TW0G2FouoyLTmFAvnsb/y3NNbxLSN0dsx2ljL1pFMW4EcViHfu2+KD37zodA1LwepRMyzOh2fL0dmMFuiTspg1UzSyxhjPNO9+3Wu3Q8YY64xxmw3xiSNMTuNMZ8yxhw3xrzMGHOu+3lN2uEURVH6xbIKZOt5c3kdcG/UY1eSPbt3tXg8s8k4v/wcZxSzFcj5ci20UpdJdhcRtlgq1TqpeCMCzVnDEgVyvsJwNsmmgbQv5q3KYDrpbX+h7FTJpwuVpgQLaOQgh3k1YWkjsVssFq5YmfeNYn7lh74HwMdufYS9+6Z8ArnRqDdTqDCcCZ8i1+RB9lWTIyvIbZv0imweSiMi7BjJcKBDikUlpIJsLRH5UtVr8tseYUO48eYHqQWe7kKlxnu+fB9fv/cgAL/52R964rOdlcDuH8Dzz97E9VdfTNyXLV1zmwDf8vc/8ra3bTjT1oMcZrG48eYHKQaew8WORj8Vku5JTr5cpVCpsalDBTnspMyySjzICyJyif1GRJ4NdD9GU1EURemKtkd7EYmLyNuWsuGIy3p/LiL3iMjdwEuBJW2730xOjPOml5ztfW+rb5eeuRGATYOOQC6Ua0xOjPPfJ5/e/NjJi4HeV5ArtbrXBOX9Iw+pdHXDjFtl3TiQ8g0KqXqXmO3nfKXGdL7MSK658paKxzCmNU3B0k2TWJAWi0W6IZBtRdpWu4/Nl7jupnv40eMnySRjPOirIM+0qyCnmz3IlrGBcIHcLsv68FzRa17bNpJlrlhtW9Evh3hY7ZWAfLnGodkiqXisaaKfn6jnbrpQ8SqeR+ZKXVdoU74ou8mJcQZScV70tE3ERbzcsEOzje11Ghbif392WvNiRqOfCraCbEfB27/dKIInZX7KqyPF4q3AP4rI90Tke8Dngd9f4TUpiqKsO9oe7Y0xNZxA+UUTcVnv140xFxtjnmGMea3N4VyNTLiX8C87a6NXfbPJFZtcMWX9vy+/yGmYe+erL+C2a6/gdc/eSTIuffUgW6EXHHndLVZEbhhIMV2oUKsbp0kv02jSA6eSNp0PqSB3qJJ30yQWJHgJ2wrkhVI1siL9F9/8CeduaW7UayuQfU16/q/HhpZgsZgtsWUo4+6XzQlu40kPqUDmfB7kQzNFto6kIyfNdTtOvNsKrT/KrlKrM1usctf+GWqBqwJ2e9uGMxyZK1EPOSkyxrTE9LVb82JHoy+VpJvXba+SjHUQyEPuFZSo/O2VbtIzxvwQOB/4XeD3gAuMMXeu6KIURVHWId0c7W8TkY+KyItE5BL70feVnQKLbQ4LY869xOpPiSi6As1W+BZce8Os+1jbKAXdNbEtFn8FKxmPkUrElpyDPF0oM5pNsmkghTHOtLy5UmOQhr96ezJfbop4g845wd00ibXsX2Cim13DXKnathKZScS47eFj3ut9YLoQKZD9VWO7r9lkvMmbbEl3TLFoVJDtQI12jXphOcipRIxkXFgo1zg0U2TbcHTKQ1SiRRjdVGj9g0JsI+ZciLXAbu/QbJFq3XDOO77e8ndlTwaD1qSlvA96iW20PO4O8tkUcqXAj+cJDxXIZjV4kAGeAzwDmACuEZHfWOH1KIqirDu6GTX9Avfzn/puM8AVvV/OqWMvxdtqo20KAhY1cc4OC/BXkuw2/RYLaEyls41SAMkO4mopBCusA+4kuKUwk29UkMERe+VqnSEb85ZqVG+n85WmISHgNOkBkY169rn+L1+4i7pxxO6fTT697WtQqdWbhGqjYarKjtEsUyGibySbZN+T000T4wBPENnHWMIqyGHVY2jvQbZT9La4gtb6hjtNmsvlWv/kcqkE+VKVQ7NFL1M5DPvc3XjzgxyYLrBjNEu+XPVyqv10U6H1WyzsOPENuWTo9kaySb764wMATU2Xdl0V1xwdFJBhaw6OcO4nqXizxSLKvmKx77m5wN9VrW6o1Q2peHcnKP1CRP4WJwnoLsD+8Rngb1ZsUYqiKOuQjgLZGPPS5VhIr2jXHLY4gdxaQbaC2N+k53/sUKY5Bq1Xg0Is1ZZJcwmvir0Y6nXDXKnKiFtBBnjyRMHbpv/zfKka2aQH7X3Wr754O2/7wl0AvOyCLR2ff8eD3BBY2WScmDg2jz27d3HtTXc35dPaUcxhPui7npzxvh7KJBABY5qHVtivo6qKqUQsNA8XGpF/W9zmPps80a5RrxTR5OUMLHEqyD97YfsK5+TEeNPzGDwhhO4rtLaaXarWPW/3NZedzmdue6xleyJQroVbLyYnxqm474OwGLTgmpcTeyXnmDsMp6MH2Wfr8WP/llfBqOlLgQtNVHesoiiK0hM6WixE5F1hH8uxuKXQq6YgW0H2X3IuVIIC2bVY2Aqy32LRhwpyWAxafglNenPFKsbASC7l7csTJxaAhkCwk9kOzxap1Q2j2UCTXqJzUsfh2SL233inKXPQ6tEVEQbcPObJifEm0ddpFLO/AhiLCUPpBDFptgDc/uhxAO56cjrUitPOJnN4rjmSLZWIMTaYbltBrtTqLRYEcATygekCpWqdbSOL8+Z2E+cWhd9Hbhs1X/PMHaHbi3qe7d9V2ROQK97E1oTTpGc4Pl8mlwq30vjxn5T5sfu3CnKQ7wW2rfQiFEVR1jvdWCwWfF9ngCuB+/uznFMn6lL8YpuCrDAuuQ1MyXiMUqWGSGOinGexKLZaLDolICyFSq3uCVhwGvWWUkG2k/FsigXAEyfyAE2T9AD2n3Sey6AH2WboliIqrNCwO2weSoe+JkHCcnT9A0ts4+Rn3vAcXnr+FsC5YhC2bRGnujo5Mc7efVNOZJ2BF77/257Q/h/ferhprUErTruTHK+CPNyo+O4YzXCgncUioslrIJ3gkaPOn1lUxFs7llqhTbt2gXK1zol8w4IQtr2o59n+XdnnaRWkPDRhY95OuFP0OuE/KfNTWT37Nwb8h4j8O+D5iIwxr125JSmKoqw/urFYNE27E5EP4IwpXZXs2b1ryZec/fgrxwulKqPu9DynoasRzQX+CvLiJs0tlmCT16BvmMdi8I9itmL/Cddi0UixcPZxyhPI4RXkci26gm2ri885cwM333eYWu6jTAAAACAASURBVN00Ze0GCVoswBXI7mtxdM7RA/7Jb2GvNzh2iutuuoc7Hj/Bl+6c8nJ9rRDOhIzKDlpxUol4ZBKJf4oeOGL8J4fnKFbqXH7DLaE+W6dC3rr/uVTcyxcODgnpJ/4mPZuGEjwRskRZXOzfVVST3kpjT3KOzZc6NuhZhsIEsuexXvH9e89KL0BRFOWpwFKO9jng7I6PWiHsJWf7j3oxl5z9WIsFNBr1CpUamWScrCuQrSib9TzIjfONTgkIS6FSbfYg51Lx0IlfnbACeTSXJJWIMZRJ8KRbQQ6mWOyfdm6P8iC3qyBbgXzJ6Ruo1Q1H5trbLIKDQux6bJU8TCDb1zseEo1WqNT43O1PhnrSwxrR/GuGzhYLO0XP+oCteIyaFlepmfAKsu+y/1IqyEvFL5BP5MsMphPelYEgkxPjXP+6i73vg39Xnkd35QVkEyk3bvHYfLljxJtlIOTEs7F/K+tBNsbcCjwGJN2vfwj8aEUXpSiKsg7pxoN8j4jc7X7cBzwIfLj/S1s6kxPjvOjcMS7YPhw6Qawb/BVkTyCX62STcVLxGPGYNHmQs8l4kzjohwc5OIhhqU161k9q0x02DqTYf9IRwkO+6LOY+C0WgRQLK5Db2EgOzBTZOJDinM2DzvcdfMjlmmnxsA5lEt5rcXSuhEhrEsHkxDj1iJ6lYKZvJ/xWnFSitcpsOTpb8qbodTs10Jk01ypA7QmXSLP47zfxmBCPCeVajZMLZTYMhFePLa+7ZCe5VJzffuFZLX9XleqqqbA2YU8CDs8Wu64gD2ZaK8ieB3mFK+Qi8jvAF4GPuzeNA3tXbkWKoijrk248yFf6vq4Ch40xS8sWW0ZyqQSFJY5hBkcgW5Frq0nFSo1MMoaIkEvGm1Is/A160D4BYamENulF5CDv3TcVGa3lt1iAIzgfP95cQRYRBlIJr6LakoPcZQV5x2jGE50Hpgs8+4wNkY+v1OokAxaMgVTCa3w7Ol9iYy4VKsKivOdxkVCRPJpNUqrW21pxnKsArc/v3n1TfO2eg5Sqjp0iyl8dbAwtV+uhKQi2grx5ML3sAtNWyU/kK2zMda6w5lLxlpMBaFhtVlpABrHr6daDDM2+d8sqqpC/BbgMuB3AGPOQiGxZ2SUpiqKsPzoe7Y0xjwOnAVcYY6aAURE5q+8rO0UG0vElD9EAmCtVvMvdtoJZqNS8al82FW9q0vM36EGjOaiXBD3IuXS86R+5HZBy5rVf422fv4up6UJTZq295N8ikH3CaDDTHINmvZej2YgmvYgcZHAF8kjWmzLXKUmkGtak56vmHZ0rRVZYowZSXPPc00Jvf89rL+qY/mCHTPixdgpbWZ6aLhB10d1fjTbGUK7VSYfFvLl+723LaK+wpF0vtlNB7iwgM8kIgVwNz0Feafzvp04ZyBa/791iK+SrIMWiZIwp229EJAFo5JuiKEqP6VhBFpF342Rv7gI+A6SAvwMu7+/STo1sMuEJ2KUwV6xy/rYhHj+e93y+hXLNE1sD6Ub1drZYaWrQg3416TV7kAdTCW9M8NfuPtjUrBb8j+lvQJspVEgnYmTcffELh+ZJc879Q+lE04Q76C4H+cB0kRecM8ZQJslQOtFRIFdCLBb+al47gdxuIMWlZ2yMrKa3s9+EvYZhdgoDCM3PebAa3a7Jyz7n7abo9YuUL+Xh3K2DHR+fTcZD/64qqycGrQl/RXtssDuLRViKha2Qr4IYu1tF5B1AVkRegTNu+isrvCZFUZR1RzcWi9fhjDT9EYAx5oCIDPV1VT1gwI1AM8YgIQ1c7TDGMFeseuOD50tOxbVQqXmNeFmfxWK2UG1pAHLyV3vdpFcn4avQ5Vw7RL5UCxVuQaxAtVP0LBvdtedS8aaUCduoNxriTfU8yBECebZYYb5U9arHO0azbSPQbIU1aLGwSR3GGI7OlTh7bCByG1FxZ0uNQUslYtSNU9m2JwhRIt8AY4Mprxnsj3/uwmaPbhsP60pWkK2N6GS+fGoWi+rq8OgG8Z+QnIrFYhVVyK8Ffgu4B3gT8HXgf6/oihRFUdYh3fw3K7tTmwyAiEQrlFVELpXAGEJ9wNaKcNa1XwsdEFGo1KjVjWexmHcryMVKo4KcS8UbTXphFeQ2DV5LpVIPxrw5a1koV7sahGIv+c8UKk2eYiuM/FPm/N9vCBFO1mIRVUG267G/c8dopu0abQxbmMWibpxIvWPz0RXkfuAfxWyJytMeH83ymTdcBsANVz8jNOLNv03L3n1TfPzWn3pfB9+L/SaViDFbrJIv17q3WLSpIK8Cj24T/ti5rpv0fCdlltVSITfG1I0xnzTG/IIx5ufdr9VioSiK0mO6Odp/QUQ+juM9/h3gX4FP9ndZp04jq7i5EmQ9pFH+XGh4jm1Fbz7Cg+xv0vNHvIHb4NXzQSHBmDe3glyudhyE4r/kP1MIVJBdYTQUIZBHsq0V5E6T9IICeftotq1A9iwIAQFp13BwpkipWl9egRxvtZH83s+c0/I4+9xmU87j86FNbK0C0r4XZwr2RKsaGg/XT1LxmJfp3I1HNxvZpLc6BbJf0HYb82ZPyvz7uVpOAETkURF5JPixootSFEVZh3TTpPcBnFihL+H4kN9ljPkf/V7YqRIc5mHpJpLLZiCPZJNkk41pdX4Pcs5t0jPGMFtobdLrtQe5VjfU6s0C2XqE50s19uzeFTmkYSSbaGpAmw4IZHvpeTAg8gfbVJAbAjnc1jHlRrrtcG0q46NZTuYrkb7wKIFlRftjx5xJcytSQfa9jvbS+5ahdEtzX9Y9YSmG7GNYBbnbeLh+kk7EvCElYa9zkFwqvIJs92+1DQrxv5+6qZBD46TM36i3WgQyTj/Ic9yPFwEfwekJWRIi8jYRuU9E7hWRz4nI8vt8FEVRViHdeJAxxnwT+Gaf19JTGtXV5n/mUVXMqemCNwHtjE05wBkdPejL4bWDQuz285UqhUqNat2EWix6KZC9f9CJ5pg3gHypyuTEOPcdmOGT33sUAa8Z7WO3/pShTKLpkv9socIF2xs2ciuM/A160BDgYdPV4jEhEZPIfTw4XSARE0/QekkWMwUvFzl0/wIeTytWHrUCuctGq17gr5Lv3TfFn9/8AAemnQEh73j1BS02Cnvy1K7C6heQUe/FbuwyvSKdiHNs3hnA0k0FOSrFYhVNmmvCvoajuWTXa7MnZfOlKjY/rezuXyokpm85McYcD9z0IRH5PvCuxW5LRMaBPwAuNMYUROQLwC8Dnz3lhSqKoqxxIgWyiMwRHh8kgDHGDPdtVT0g5/Pn+onKy4WG3eL1LzgDcCqq/oadUqXeEvM2614eb6kg99hiEeaBHPD9Iwc4d6sjer/7Ry/ltI2OyH/8eJ4PfesnHJkrssUdizxTqDCabYihHz1+EoAfPHK8aUyy3X5wSIgl3cZnfWC6wLaRjNf0ZyvJB6bDBXI1QmDZKvajx5e/gmzF7NfvPciHvvmQJwzLtTrX3XQP0JyCYQVyWDa1PZHw71/Ue7GTXaaXpBIxrIN1Y4dBIdBFisUqrSB3G/EGrX9X4DTIAqGDXpYTEbnE920Mp6J8Kk3TCZxEjArOlNQDp7AtRVGUdUPkfzNjzJAxZjjkY2i1i2PwV1eb/5mH5eX6KVRqfP6HTwLOFDfbsFOt1SnX6mTc5jQ7KGTWtWO0DAqJxz1bRC8Iq9DZf+RWkB2fd+JR/d36qYRgDFz2vm9x+Q238KU7n2S+VPUsFnv3TXHjNxqX9P2e7MGUtViEC6d2VfID08UmoecfFhK+f+GXsD2BfHQFLBbuWj71vUe7skJkkjHvviBhJzhR2c3+eLh+4xe0XVss2qRYrIKUhybs/o112aAHjfecXyCXQ67grBB/4fu4Hng28ItL2ZCba/8B4AngIDBjjPlG8HEi8kYRuUNE7jh69OiSF64sL9t3no6InPKH0iXxZE+ebxFh+87TV3pvFLq0WAC405o8f5ox5om+rKhHRDXpTU6MM1us8K5/vi/yZ0+6o5iHMkkG0nHmi1WKrgCwjVhWKNihGy2DQtx/pOVqo+ocpN20uyBhAnIg1VwlPz5fIpuMe/aSvfum+Mi3HvIePzVd4J177wUcXzI4Pthg0kehUuM9X74P415A+Mi3HmJDLtWytnQi3saDXOA5Zzam5m0dziDS8CYHKUdYLKwv+rHjCyTjEtow2C+suDo6Vwq9Pyj2RYRsMk6xyxi0dtnNy4UV7CLRVwr8ZF2LRTA+cbU36XUb8QZ4Dber0YNsjHlpr7YlIhuAq4CzgGngH0Xk14wxTZ5mY8wngE8AXHrppZqYsUY4NPUkZ7z9q6e8ncfff2XnBylQq/Tk+QZ9zlcL3QwKeS1OtWIHcAQ4A7gfuKi/Szs1opr0AM5ys3Rtbm2Q4UyCWTeZYjCd5MB0wbusbCt+WTdGzoqnYIqFPwEhTCDbBANbjbOVWwgfXhFWobM5yHYU9vHAOF2nCaxZ/FoxbMVQVEV32hX+4JwwhK0tnQyvIN90536mpgtM3VXgh4+d9CqigiO2v3Tn/hYhGGWxsD7ogzNFdoxklrWiYcXspoj3SZgVIuuL//MTZrGApWc09wrPo5tNNmVgR5FJxTHG8WVnfNVv7wRglQnk7z/sVDz/5d5DTfahdtgrM357VtTrt9yIyH9pd78x5i8XsbmXA48aY466274JeAGn0PSnKIqyXujmaP/fgOcBPzHGnAW8DLitr6vqAUH7gZ8HDs4B8NaXnxd6ifv5Z29ExJlUN+iOc7ZVwYwvxQLgkDv8Itiklw7J0PWz2ASDMI9nzl2LnfR3bL7EJl8TW7tmL1uJ7dbvGra2VLzVg7x33xTv+Kd7vO+npgvs+ccfs+eLP8a6TcKi9aIqdEPpxvO6nPYKaIi9X7z0NDIBb22UFcLx6La+5uVV6tG16+k24cG+54I+5EqtTiImxLoQ2cvF3n1TfOhfm6+gdBOjNxiaYrFqRk1fCvwuMO5+vBm4EMeHvFgv8hPA80QkJ86Z58twih+KoihPebo52lfczumYiMSMMd8GntXndZ0y2QiLBcD9B2fZOpzm1553BtdffbGXj7ppIMX1V1/M9tEcg6kEsZgwmHE8yFbM2u1agWwzZMOa9CBaIC82wcD+g07EGi9ZLCZNA0uOz5cZ8wmdduLXCvpOnux2a0snGwLZDl956+fv8uwo3trrxlu/JSi4oywWmWQMq7mWXSC7r+FzztzIm335x/5otyDZVHuLxWqLQbP72M0UPWi8/4Mnd5VafcWrq0FuvPnBlhO4bmL0Gh7ksBzkFT8BGAMuMcb8oTHmD3E8yDuNMe81xrx3MRsyxtyOE+H5I5zJfDFcK4WiKMpTnW7+o02LyCDwPeDvReTDQKvqXGUEq6t+7j80xwXbnT7DyYlx9r7lcgDv8qt/8MdAOsFcqdpisbA+X5sh22KxCMnQ9RMlXqNubxeDZv+RH18oNVkswsSv/Wkb3TY5Mc71V1/M+GjWy/WNasoLrs1mPfuHrywGv+CuRFzCFhFPsKyUQC5Va5znJoR87Q9eyG3XXhF5md4ZQR5isVglHtYg6UVWkDMRSR3lan3VVceXGqOXScaIx8QbMQ/O358IXdlQ+szpgN/vUwbOXOrGjDHvNsacb4x5ujHm140x4YZ7RVGUpxiR/9FE5KMicjlOE0ceeCvwf4CfAq9ZnuUtnUQ8RioRI19pFivlap2Hj8xx/rZGEIdtIDvo2iXmihWG3IrwUDpBuVr30iqyIRaLdCLW5MeERhxUlEDes3sXqYDYbZdg0MhBDnh03QqyMYYTC+X/v717j5KrrvIF/t116t15dIAEkg4EUCYoIgRzvToZGcSR4IgSHWcNzuhydBxm3asjztUIcdZV546PcDOjcq+PKyLqjIi6ILZMUKPy0BGVZ0MSDJEIhKQT8u500unueu37xzmn6lTVOVXV3VV1Tv36+1krK13V1d2/U1Xdtc+u/du7qsSiNviNS6Vv31/d8mD5reY1KwbwwA2X49n1b8QDN1yOj7/pgpa6K7ib9PzKRVrhDbgLAaOmgUpGr5s9kIFK8DhZKJWfG267uiBBk+ai2gZtqhlk98SwNkueq5nyGAVTPQl1iQj6klbVyXWuaI95j8Cu/n8H8JCIfEJEPg7gQQD/FvKaiIiM0+gV7WnYLYCehN1O6GWq+k1V/T8+zeojqS9p1bV5e+bQCeSLWjUoI2HFsHBOCvuO2ZmlE5PVGWQA5WEKaU8fZMAusaitPwaaZ5DXrBjAa85bWL7slncEd7Hwr4HMJu0SkNGJAvJFxak1mUA3+P3cX1wMy/O1LxybCKzH9Msq+63N3aTXLCOXiEld5rs24A4qsQAqnSy6X4NcOcnZNzKOVDzmOzTFy+7y4FODHNE2aClrahnkoF7P+WKp7oQvbDNpozc3nSgPCAKcDHkETgBU9VMA3g3gKOzOE+9W1U+HuyoiIvMEdrFQ1ZsA3CQiy2BPV/q6M4b02wC+q6q/69Iapy2bjNe9kG/fNwoA5RIL1+L+jCeDXCjXJbvZy0PH7Xc16zLIoxO+GalKDXJwZvX4RAFL5qex99gEPvj6P2i4u75Rn+CxySIOOwF8UDurRvWYfj+3le4K7ia9RsNXBpzWZQDwsR9sw6hzzB+58vyq7x9UYgFUTlLCKrHIFUvY5zzOzTKImYRVPtHyqkxiCz/I8ipnkFsYEgJU2hzWZsmjWGIxkzZ6fSmr3B0GcGqso3N8WQCjqvp1EVkoIueo6rNhL4qIyCRN27yp6i4ANwK4UURWALgVwCcAhDtSqgVZn5ZbT+07jqQVw7lOqzfX4nlp7Dx4AoBdYnG283k3QD7oBKC1AfJEvlS3QQ+oZAqDJs3liyVsGR7BNf/lLHz7weex58jJhscSlGHNpiwcHcvh8JgzJCRgIEInxhqnEhYmCyWsXb0ca+94omojXiZh1WWdD52YxCfv3o4fXXcp5tdkYhuNKg67BtnNIC+en27yFc0HaaRCnsRWq9zFotVNegn7sfDrYhG1Egtg+m30vBM0ASBf0NCy/yJygao+6Xz8cdidLJYD+DqABOy2bKtCWRwRkaGavqKJSEJE3iQitwH4EYDfAfizjq+sDbKpOMacF3K3y8JXfvEMFIpNW/ZV3XZxfxr7RsahqlWb9Ny39w85/Y4ro6Yr5xZ+JRapJiUW2/eNYiJfwsqzF2BgQQZ7jjYOVIMyrH3OC3mzDPJ06zEbcTfprVkxgDe9fDEANCzJCOqAAACFkv8JwODQMB5+7ggA4L/f9ljTFl3tVBUgH5vAGS0EyOlkQJs39/ELfxJb2eDQML54304AwPofPdXSfVt5DKtPPKMaIE+XuznXFfLxLROR9c7HbwHwZgBjAKCqezGzUdNEROQjMIMsIq8H8HYAbwTwEIDvALhWVce6tLYZ60taGM8V6oZy5ItaN/hiyfwMxnJFHJ8s1HWxACoZ5HIfZE9t47x0/d3YbJPeY7uOAgAuOWsBli7IYM/RxhnkfMBb9PYmvWJ5kMVpARvZ1q5eXnUfADMfa2y3ebO/3+nzM0hYgt998g2BZQhu9r3xqOLK8bmPmzvcZP/oZMNhKu3m1pyO54s4cHyy6QY9wO2DXN/Fwm/UdJhqfycOj+Vaum/Lj2HNScBkBEssZmJuOl4uuQIqm/TCoKo/FBH3lyanqioiCgAi0tfgS4mIaJoa/cX/KIBfA3iJqr5JVW/rpeAYsN/uHpv077JQ2w/VzQ7uOnQSuWKlbGJueZOeHYCmE/Zd5p2O12iTXm3/X9ejz4/gjHlpLOnPYOmCDHY3yyAH1CBnk24G2V5f0FvlrW68m4pUvNIH+cDoJBbOSTWs0c0EDJkA/EsspjpMpd0SltjjsY+Oo1jSljLIbomFavXjniuUEBO7u0oUTPe+bdQHOSrBfzv0JeN1o6bDzJCr6mbnw++JyFcA9IvI3wL4GYCvhrYwIiJDNdqk99puLqQT7E16hZbqb5f028HPjv32lL26DPLxScSkkgFMxe0BFiWt74EMBG/SGxwaxobNOzA8Mo50IobBoWEsXZDFkbEcxiYL5Z9XK6gGeU4q7mSQJzE/k2iYxWv3WOOkN0A+PoGF8xoHkFMtsehE3fRUiAiSVgy7DtvZffc50kg6YaGk9uOVintGMUesBGG6923lJKe+fWI22XRLQ89wBwS58kWNRIZcVf/FeXdvFHYd8sdU9achL4uI2slKtKWlpJVMo5ibaH7DFpwxcCb27Xm+Ld+rV5jziuYj65QfBHVZ8NbfnuG8ff67mgDZrUE+MjaJTMIqP2lFpJy99duk59fmrfZt7Yl8Ces2bsXbXmEHrcMj4+WBFLUCM8gpC8WSYt+x8cD6405JxS3kCiWoKg4en8SZp2Qb3t4NrhpNmvN2Cmjlceu0ZDyGXUfsN04Wt1hiAdhZ8qoAOWIlCNO9bxOWwIqJTwY5vE1snTAnFccJp7+4iCBXKIV+fCJiAdisqn8CgEExkamKeSy7ftOMv82uG69qy/dxv9dsE51X7A5w27y10g/19LkpxMQTIKfsoLfPyYqVtLqswv7+9mXfEgurPkAOelv7x9v2AwB2N+hkUQjo8uB2eHj+yMm6HsidlvK0QTt4fLJpl4lyBrlRiYVnlPZM+ti2Syoew/5Ru/681S4WgE8btGIpUmOmp3vfigiyifqNiGGXILTbnFQcqpV+z1F4B0BViwBOisj8UBdCRDQLGJ1B7kvZbd6uvngJAOB//mCb3Xu4P42PrK7uwxu3Ylg0N42n99ut3twMshWTcia6dlpeOUBuUGLhbfMW9Pa1O4SkUSeLoFHT7tvazx85icv+YFHg13eCG/CNTRZxeCyHRc0C5Aab9PyObyZ9bNvFPdHJJCzM9zkRqhV0EmBnIKMTQM7kvk0nrbouFlHLkM+UW+p0wil7yhdL5ZPRkE0A2CoiP4XTyQIAVPUD4S2JiMg8kfiL3ymZpF0POum0Int011H8x5a9+NUNr/O9/Rnz03h89wgAlEdNA/aL5clcsT7j5gSnDdu8FSsBcvDb2mkcOpFr2MkiF1Bi0efpx9ztEgs3IHID/0VzG2dY0w0C5EKxBBH7hMSr3XXTU+Ue4+L56ZZqwtKNJs1FLICc7n1rd+qoz5CbtEnPPUE+MVnA6YhUhvxu5x8REXVQJP7id4pbHuFutjlyModTGgxE8G7C8m68cztZBJZY+A4KqS+xWLt6OdI1QZL9tvb5dieLIw0yyAX/Egvvpr5TA1q8dYp7EuCWhjTNICcb1CAXFQkr1paNCe1UDpBb2KAHeAfI+Eyai0aANWN+w1AiFEC2hfu3w+1kEeagEAAQkbMAQFW/6fcvtIURERnKnFc0H26w4mbzjpzI4ZQGdbpnzKtsUPIGyG4QOpUSCytmb2byBshrVgzgz1cuBVA/UGPpgiz2jARnkPPFUvl7evWlKms6LYRNekClNKRpDXLDNm8lJGLRCo6BSoDsfW40ElRGErUSi5lIJ6y6DLlpJRbu5lz35DoCJwCD7gcicmeYCyEimg2MLrFw63PLAfJYDstODe604M0ge+sN3Y+9JRaDQ8N4+Fl7wts7v/YQbnjD+XVvV7uT5rwmCyXMS8cx9LErqoLdM0/J4Ik9I4Frs1+g6wPIqgxywJjpTnEDIrc0ZNG8xj+/WYlFIoIBlpv1baXFGxBcYpGLYInFdGUSVl2GPO+8A2AKd3rjX97yIAb6MziZK4T9+Hl/+c8NbRVERLOEOa9oPrIpN1jxlFg0yCC7bbyySatqoENfTYBcnvDmBL8vjE5g3catdaN6k/FYefMZAKgqHth5GK9+0al1meClC7IYOZnH8Ym879qCdtH3Jb0lFuF0sdhzdBwiwVP8XFZMkIzH/CfpRTTAqtQgt5ZBnq0lFrliKVJjtGdicGgYX7h3Z/ny8Mg4jp7MY2+TYT4dpgEfExFRB3TsFVtEbhWRAyKyzXPdKSLyUxF52vl/Qad+PlAZB30yZ082OzrWpMTCaeNVO/jDvezW0LY6hSwZj1Vt0tt1+CSGR8bxRy8+re5nL11gB2BBnSyCJpVlPXXR3W7z5gaPu4+exCnZZEsBbiZhYSKgxCKKAWTSKSNppcUbENzFIoqb9KYrnawusVBV5AolpCL4+E3Hhs07qrrPuLYOHwthNWUXicioiBwH8HLn41EROS4io2EujIjIRJ18RfsGgCtrrrsBwD2qeh6Ae5zLHeNmfscmCxgdL6BQ0oYB8tZhu8Rh/+gkVq2/t5wRdut83bfPW51ClrRiVS+0v9x5CACwyidAfuag3V7uDTf9Z9XPdtmbhHwyyKFu0qvUIDerP3ZlEvXZR8AOIOMRGzQxODSMh545DAC4/s4tdY+Jn8xsKbHwHF+h5L+BtFcF/X6P+ZzYdYuqWqo6T1Xnqmrc+di9PG+631dE+kXkDhF5SkS2i8ir27luIqJe1bEaZFX9hYicXXP11QAucz7+JoD7AVzfqTV4hzYcOZkDgMAAeXBoGOt/9FT58vDIONZt3AoAmOMMDUkn3HrU1qaQpeJ2DbJ3vHRMgCd2j+DchXOqfvaX7v+9789265qDAshUPAYrJlBV9LfQp7ed3BKLk7li6wFy0sJ4vj47V4hYiUVtGc2B45N1j4mfoHHaUZjE1i61JRblHtaGnAAE/X5HpA9yu90E4Meq+jYRSQJoPA6TiGiW6PYr2umqug8AnP8DJ1uIyLUi8oiIPHLw4MFp/bBsuc1bEUfG7GEcQQHyhs07MFETuLllE3OcDLKbHWx1ClkyHsNzh8awbuPW8gtuSYGPfn9bVTay0c92BfWZ/cHje1EqKUoKvOZ/39dSlrNdvBnRZj2QXWmfHrpANCaVebVaRlMracUQk/oa5HxRy+UavS5T08XC3YgaxRKZ6fD7/QaAP3zRKSGspnNEZB6ASwF8DQBUNaeqwTuFiYhmkci+oqnqzaq6UlVXLly4cFrfw7tJ7/AJO4Mc7JL6cgAAGmFJREFU1OmhUdlEbReLNSsG8Jm3XoiB/kxduzavZDyGpw+caBpotVKy4ZdhdbOc7o4dN/PcrSDZOzq5WQcLVyYR8+2DHNSlIyytltHUEpG6ABIwa5NeOmFhslBCySmtyBmWQXZ/v0/J2u/IuO0TXzbQH+ayOuFcAAcBfF1EhkTkFhHpq71RO5IVRES9ptuvaPtFZDEAOP8f6OQP827SO+qUWCzo8y9DqC2P8F7f5zMoZM2KATxww+V4dv0b8cANl/u+7Z6oqUH28gZajX62K+/TJWC6Wc52qc4gT6XEwq/NW7RKLFp5TIJkkvG6Y5wslJA0pMtDuVNHwT5GN4NsyiY9wP79/uF1lwIA3r3qHAAwpobcIw7gEgBfVtUVsEdX1+0LaUeygoio13T7L/5dAN7lfPwuAD/o5A+LWzEk4zGM5Qo4PNY4g9yobOK3++zd65+8e7vvBrogSSsWmDX0BlqtlGz4lSBMN8vZLilPycCUNukFllhEJ4BstYzGTyYZq+vUEdUuHdORqRnAky86m/QMOQFwnTE/jSXz0/iNs1EzSidwbbIHwB5VfdC5fAfsgJmIaNbrZJu32wH8GsByEdkjIn8DYD2A14vI0wBe71zuqL6kHZAdOZFDJmHVjYt2BZVNAMBtv9ldvt1UyhiS8RhOn5dqGmi5P9stWfAr2fCb5DWTLGc7pBLTq0EOLrGITgDSahmNn8ASC0MykOWBL+UA2SmxiNDj1y4rli3Ao7uOAgCSETqBawdVfQHAbhFx/xi9DsBvQ1wSEVFkdLKLxdsDPvW6Tv1MP9lkHGOTRZxAoWGLN8AOimoDoFXr763qZQxUyhiaBUvJeAx9qTg+dMVyXH/nFkwWShjoz2Dt6uV1X7tmxQA2bdmLvSMT+OF1r6n7Xvmi1gXaa1cvx7qNW6vezm81y9kO3oxoyyUWPsEjEL0AGfB/PrTCr8QiapsQZ6J2GIppm/S8LjlrAe7esg+AmScAAP4ewG1OB4tnALw75PUQEUWCkX2LvOyWVAWczBWbBsh+ZlLG4A4KWbNiAF+4bydevHAO/t87XxF4e7/AypUv2iOqvdzgbcPmHdg7Mo4lAcF3p3g36U2tzVtQDbIZGbpMonpaYLGkKJbUmAxyba9n0zbpeb1iWWWWkYkBsqo+DmBl2OsgIooa8wPklJ1BPtpkzHSQVnse+0lZdh9kVcXekXFcel7jDS7ZhFUei13L7qNb/wI93SxnO4gIklYMCUuqBpY0EhQgm5RhzSQsHHK6pgCVEgTTAmT3ccwbnEF+6eJ5SMXtzbYmngAQEZE/4//iu0HnkSZjpoPMZLNW0hkUcmw8j5O5Ipb0N67TzST9N7ABbheLaD1cg0PDyBdLGMsVW968mElYyBVKKJa06voollhMV7bmnYBJwwLI2mEoOcNOALyS8RiWOGPGP3D70JQ26RIRUe8y7xWtRl/KrnmdboA8k81abonF3pEJwPnaRoKyq4Bdg5yIRacEYbo9mN2TjbpBGgVzSixqh6EYl0FOzp5NeoNDw9h9tPIOUrd7jRMRUTjML7FIxnFkLDftGmRg+mUMCafEwq1XXtwsQE5YyBfVN5satQxrox7MrY5i9pZlFErROr6ZyCSra5DdTWzGHF9NF4tcwWnzZsgJjteGzTtQqHm3o9VNukRE1LvMeMVuIJu08MKoncGdboA8XW6Jxd5jdoDcrMQiW/PWtVe+qJEqsZju5sXaFmGuoBrrXpRNxv0zyIYcX1CJRSpCz892CbvXOBERhcO8V7Qa2WQc6iSAuh4gWzEUSorho+NIWjGcFjCkxFX71rVX1AZNTLcHc2CJhUFdLNIJu1RGnSdeuQ2aIQFkbQY5b1iG3CvsXuNERBQO817RamQ9g0HCyCADwLOHxrC4P41Ykxri2sDDK2/IpLnaDgguo0osyicBduA4aVgAWfsY5gyuQZ7JJl0iIupd5tcgp8ILkN23nHcdPonF85tPmsvWjPD1iloN8nR7MPtlyVXVySBH5/hmwlsqk0la5RILU0oQ4s4I9XKbN8M2IXqF3WuciIjCYXyA3JesHOKpIWWQnzs8hgsGFje9fcZZ63i+uhdyVAPI6WxeTPtkkPNFszZ51WVYDSuxAIB0IobxXBGDQ8P415/sAAC86f/+Etdfeb5xwWOYvcaJiCgcxgfIbsbSignmpRNd/dluzbA7YrqZSolF9WhrN4A0IcDyq0E2rU1Yupwlt090TCxByCQtPLVvFN99eHf5RGDfsQms27gVABhQEhFRTzPnFTuAm0FekE00rQFuN29Au3h+8wC5UmJRnUGuBJC9n2Gt7YAA2GOmAXMCyGzNiY6JJQjZZBxP7DkW2OqPiIiol5nzih3ArUHudv0xUB0QNWvxBviXHwBmZVj9suTlDKshAWRdGzTDJukBlU4dftgCjYiIep05r9gB3Gzegmz3A2RvQNtKiUU2oM2bG0DGDQiw/LpYlE8AIjQpcCbcEx33nYDyqOm4GccHAJlELHDTIVugERFRr+v9iKuJh547AgB48NkjWLX+3q6OiK0qsZhCgFzbxaJcg2xAiUU6ad8nEyaXWCSr66wrj58V+DW9JpuMY/H8dF2QzBZoRERkAjMikgCDQ8P4wr07y5eHR8axbuPWrgXJKSfgm5eOY06q+X7IoBKLgkElFkkrhphUZ8mNK7GYFV0sLGSScbz9lWcCAAT2uySfeeuF3KBHREQ9z+guFhs27yi/ve1yNxF140XcDYhafcs5Fa8PHgGzapBFBJma+lXTSiwyNe8E5Ar2/yZssnRlkhYm8kWkEhYSlmDbP61GKm5OhpyIiGa33o+4GgjaLNStTUS/+v0hAMBTLxxvqbzDDR5rSyxyBbNKEDLJgADZoOMDPKOYDWrT58omLIznitiy+xhesngeg2MiIjKKOa/YPoIyt93YRDQ4NIwv3vf78uVWyzsyyXhgFwtTNnmlExYmcj6DQgwJIGt7PZvaB3lssoCtw8dw0dL+sJdDMyAilogMicimsNdCRBQV5rxi+1i7enk5WHF1axNRo/KORrJJqzxgwmVchjWoxMKQEoSEFUM8Jp4SCzPbvB2fLODEZAEvXzo/7OXQzFwHYHvYiyAiihJzXrF9rFkxgM+89UIM9Ge6volouuUdviUWhgXI2WT1MZp2AgBUnwTkiiUkLOn6oJpOcjt1AMBFZzKD3KtEZCmANwK4Jey1EBFFidGb9AA7SA5jV/2S/gyGfYLhZuUdtfW5gKcEwZAAsnbIhGlt3oDKJjbAziCbdGxApYwkm7TwooVzQl4NzcDnAXwEwNywF0JEFCVmvWpHyHTLO+wSi5oA2bC36L3BI+DNkJuTYc14suT5YsmoDXqDQ8P4wn12+8RCUfEfT+wNeUU0HSJyFYADqvpok9tdKyKPiMgjBw8e7NLqiIjCZc6rdsRMt7yjtj4XqJQgxA0JIDOJ6pOA8iZEQ04AgOpjzBVKxhzb4NAw1m3cimPjeQD2yU03e4tTW60C8GYReQ7AdwBcLiLfqr2Rqt6sqitVdeXChQu7vUYiolAYX2IRpumUd2R8Msim1SAHbdIzYZS2y1sqY1KJxYbNO+pO4LrZW5zaR1XXAVgHACJyGYAPq+o7Ql0UEVFEmPGqbRC/TXqF8qhiMx6udE2JRaXG2owMOVCTQS6W6kYy96qwe4sTERF1gxmv2gbJ+m7Sc0cxmxFAzpoSi3wRg0PD+Nlv9+OZQ2MtDYuJujB7i1PnqOr9qnpV2OsgIooKcyISQ2SScaNHTQOV4FHVzhy7mxBNKbEYHBrGr35/CE/uHcU/fPdxTDjH1+qwmCgLs7c4ERFRt5gRkRgkk7CQK5ZQKFaGjOQMa4OWSVooaaW2ulAyp8TC3cQ2nrePTWs+38qwmCgLs7c4ERFRt3CTXsS4AxjG80XMdQJi00oQ0u4o5lwJqbhl1CZEv01stXq9Xjes3uJERETd0vsRiWHSboDsrdEtmNUn2H2L3g0k8wVzMuStBL+s1yUiIoq23o9IDJOtCR4BO4MsAliGjCrOJO2nXTlALpYQM+T4mk5KZL0uERFR5DFAjhi3xMLb6i1XVCSsGER6P4AEPBlkd9JcyZw+wX6b2NxHjfW6REREvYE1yBGT9gmQ88USEgZkV11pnxILU+qr3eB3w+Yd2DsyjiX9GaxdvZxBMRERUQ9hgBwxbonFRE2JRcKQQRNAJYM84SmxMGWMNsBNbERERL3OnKjLEJmgDLIhGVagcozlEgvDjo+Iqi1eehZEZMb/Fi89K3Jriqcybfk+7f5eRG1lJdr23Gzn73EnMYMcMZUa5EL5unzRnBIEwKeLhVNjTURmemF4N5Zdv2nG32fXje0b9tfONbXj+3TiexG1TTE/656bjEoiJpO0z1nqSiwMKkGoq0EulpA0qISEiIiIehujkohxs6uzocSiqgbZoE2IRERE1NtCKbEQkecAHAdQBFBQ1ZVhrCOKvJP0XLmCWSUI2boaZLOOj4iIiHpbmDXIr1XVQyH+/EhKxWMQqZmkZ1gXi3S8vsTCpOMjIiKi3saoJGJEBJmEVVdikTSoBjkWE6TiseoAmSUWREREFBFhZZAVwE9ERAF8RVVvDmkdkZRNWnWjpk0qQRgcGkauWMJXfv4MNj2xD8m44Ix5jUc0ExEREXVLWAHyKlXdKyKLAPxURJ5S1V94byAi1wK4FgDOOqs3eua1SzphVZVY5IqKTNKMAHlwaBjrNm6Fqn15eGQcIkAybjX+QiIiIqIuCSXqUtW9zv8HAHwfwCt9bnOzqq5U1ZULFy7s9hJDlU1a1X2QC+aUWGzYvKMqOw4AqsCuQ2MhrYhodhKRM0XkPhHZLiJPish1Ya+JiCgquh4gi0ifiMx1PwZwBYBt3V5HlGWScYznS+XLJpVY7B0Z971+olDyvZ6IOqYA4EOq+hIArwLwPhF5achrIiKKhDCirtMB/FJEngDwEIC7VfXHIawjsjKJGMY9GeRCyZw2aEv6/WuN3f7PRNQdqrpPVR9zPj4OYDuAgXBXRUQUDV2PulT1GVW9yPl3gap+qttriLpsMl7TB9mcDPLa1cvrgmEBcMGSueEsiIggImcDWAHgwXBXQkQUDWZEXYbxbfMWN6MGec2KAXzmrRdiwMkkWzHBnJSFFy9igEwUBhGZA+BOAB9U1VGfz18rIo+IyCMHDx7s/gKJyCxWAiIy43+Ll3a2gUOYg0IoQCZp1Q8KMSSDDNhB8poVA/jew7vxkTu34PhkEXFDNiES9RIRScAOjm9T1Y1+t3HacN4MACtXrtQuLo+ITFTMY9n1m2b8bXbdeFUbFhPMnKjLIPV9kM2pQfZ6w4VnwI2Lv/Wb57Fq/b0YHBoOd1FEs4SICICvAdiuqp8Nez1ERFFiXtRlgNoSi5xhGWTXPdsPVF0eHhnHuo1bGSQTdccqAO8EcLmIPO78+9OwF0VEFAUssYigTNJCrlBCsaSIiXmjpl0bNu9AseYN2/F8ERs278CaFdxMT9RJqvpL2HtkiYiohnlpSQNkk3aXh/F8EcWSQhWIG5hBDuqJHHQ9ERERUTeYF3UZwG2DdjJXQN5JsZpYYhHUEznoeiIiIqJuMC/qMkAmaVe+TORKyBXtCXMJA0ss/HoiZxIW1q5eHtKKiIiIiFiDHEnlDHK+gL6i/XEybt65jFtnvGHzDuwdGceS/gzWrl7O+mMiIiIKFQPkCHJrkE/mikaXWACVnshEREREUWFm1NXjMk6APJErIl8useBDRURERNQNjLoiqLJJr2h0DTIRERFRFLHEIoJ+/ftDAID3/tsjWDQ3BQBIMoNMRERE1BUMkCNmcGgYn/vZ0+XLB45PAgD+222PYYCb2IhoNrMSsCdkExF1FgPkiNmweQcmCyXfz7mjmAEwSCai2aeYx7LrN7XlW+268aq2fB8iMhPft4+YZlPk3FHMRERERNQZDJAjppUpchzFTERERNQ5DJAjxm+6XC2OYiYiIiLqHNYgR4x3utzwyDgEgHo+z1HMRERERJ3FADmCvNPlBoeGOYqZiIiIqIsYIEccRzETERERdRdrkImIiIiIPBggExERERF5MEAmIpqlRORKEdkhIjtF5Iaw10NEFBUMkImIZiERsQB8EcAbALwUwNtF5KXhroqIKBoYIBMRzU6vBLBTVZ9R1RyA7wC4OuQ1ERFFgqhq81uFTEQOAtjV4s1PA3Cog8sJm+nHB5h/jDy+3jbd41umqgvbvZjpEpG3AbhSVd/rXH4ngP+qqu+vud21AK51Li4H0Cuz7k1/Hk4V749qvD8qZtt90dLf4p5o8zaVFxUReURVV3ZyPWEy/fgA84+Rx9fbDDo+8bmuLmOiqjcDuLnzy2kvgx6ntuD9UY33RwXvC38ssSAimp32ADjTc3kpgL0hrYWIKFIYIBMRzU4PAzhPRM4RkSSAawDcFfKaiIgioSdKLKao594KnCLTjw8w/xh5fL3NiONT1YKIvB/AZgAWgFtV9cmQl9VORjxObcT7oxrvjwreFz56YpMeEREREVG3sMSCiIiIiMiDATIRERERkYcxAbKJI1NF5EwRuU9EtovIkyJynXP9KSLyUxF52vl/QdhrnQkRsURkSEQ2OZeNOT4R6ReRO0TkKedxfLVhx/cPznNzm4jcLiLpXj8+EblVRA6IyDbPdYHHJCLrnL87O0RkdTirJi8ReU5EtorI4yLySNjr6bapPodNFnBffEJEhp3nx+Mi8qdhrrGbZktc0Q5GBMgGj0wtAPiQqr4EwKsAvM85rhsA3KOq5wG4x7ncy64DsN1z2aTjuwnAj1X1fAAXwT5OI45PRAYAfADASlV9GeyNXteg94/vGwCurLnO95ic38drAFzgfM2XnL9HFL7XqurFs7S/6zfQ4nN4FvgG6u8LAPic8/y4WFV/2OU1hWm2xBUzZkSADENHpqrqPlV9zPn4OOzgagD2sX3Tudk3AawJZ4UzJyJLAbwRwC2eq404PhGZB+BSAF8DAFXNqeoIDDk+RxxARkTiALKw++j29PGp6i8AHKm5OuiYrgbwHVWdVNVnAeyE/feIKDRTfA4bLeC+mLVmQ1zRLqYEyAMAdnsu73GuM4aInA1gBYAHAZyuqvsA+8kOYFF4K5uxzwP4CICS5zpTju9cAAcBfN0pIblFRPpgyPGp6jCAfwHwPIB9AI6p6k9gyPHVCDom4//29CgF8BMRedQZlU1m/l7OxPtFZItTgjErywkMjivawpQAuaWRqb1KROYAuBPAB1V1NOz1tIuIXAXggKo+GvZaOiQO4BIAX1bVFQDGYNDbVs6LytUAzgGwBECfiLwj3FV1ndF/e3rYKlW9BHbZ3ftE5NKwF0SR8mUALwJwMeyT+38NdzndZ2pc0U6mBMjGjkwVkQTsJ/FtqrrRuXq/iCx2Pr8YwIGw1jdDqwC8WUSeg10Wc7mIfAvmHN8eAHtU9UHn8h2wA2ZTju9PADyrqgdVNQ9gI4A/hDnH5xV0TMb+7ellqrrX+f8AgO+DZS+Amb+X06Kq+1W1qKolAF/FLHt+GB5XtI0pAbKRI1NFRGDXr25X1c96PnUXgHc5H78LwA+6vbZ2UNV1qrpUVc+G/Zjdq6rvgDnH9wKA3SKy3LnqdQB+C0OOD3ZpxatEJOs8V18Hu57NlOPzCjqmuwBcIyIpETkHwHkAHgphfeQQkT4Rmet+DOAKANsaf9WsYOLv5bS4gaDjLZhFzw/T44p2MmaSntOm5fOojEz9VMhLmjER+SMA/wlgKyo1uh+FXS/0PQBnwQ5S/lxVe3oTgohcBuDDqnqViJwKQ45PRC6GvQExCeAZAO+GfWJqyvH9E4C/gL0zegjAewHMQQ8fn4jcDuAyAKcB2A/g4wAGEXBMIvKPAN4D+z74oKr+KIRlk0NEzoWdNQbsMqdvm/B6MBVTfQ6bLOC+uAx2eYUCeA7A37n1t6abTXHFTBkTIBMRERERtYMpJRZERERERG3BAJmIiIiIyIMBMhERERGRBwNkIiIiIiIPBshERERERB4MkMk4InJiire/TEQ2dWo9RESzhYjcLyKra677oIh8qcHXTOlvNlE3MEAmIiKidrkd9uAnr2uc6ztKROKd/hk0ezBAJmM5meH7ReQOEXlKRG5zpghBRK50rvslgLd6vqZPRG4VkYdFZEhErnau/x8icqvz8YUisk1EsqEcGBFRdN0B4CoRSQGAiJwNYAmAx0XkHhF5TES2un9ba4nIWufv7xZnEBFE5GwR2ea5zYdF5BPOx/eLyKdF5OcAruvokdGswrMtMt0KABcA2AvgAQCrROQRAF8FcDmAnQC+67n9P8Ieef0eEekH8JCI/Az2lMb7ReQtzm3+TlVPdvE4iIgiT1UPi8hDAK6EPa74Gth/Y8cBvEVVR0XkNAC/EZG71DOtTESugD2u/ZUABMBdInIp7MlujfSr6h934HBoFmMGmUz3kKruUdUSgMcBnA3gfADPqurTzh/nb3lufwWAG0TkcQD3A0gDOMv5+r8G8O8Afq6qD3TvEIiIeoq3zMItrxAAnxaRLQB+BmAAwOk1X3eF828IwGOw/1af18LP+27zmxBNDTPIZLpJz8dFVJ7zQTPWBcCfqeoOn8+dB+AE7LcLiYjI3yCAz4rIJQAyqvqYiPw1gIUAXqGqeRF5DnYCwksAfEZVv1J1pchSVCf0ar9urJ2LJwKYQabZ6SkA54jIi5zLb/d8bjOAv/fUKq9w/p8P4CYAlwI4VUTe1sX1EhH1DFU9AfsduFtR2Zw3H8ABJzh+LYBlPl+6GcB7RGQOAIjIgIgsArAfwCIROdWpbb6q08dAxACZZh1VnQBwLYC7nU16uzyf/mcACQBbnE0h/+xc/zkAX1LV3wH4GwDrnT/cRERU73YAFwH4jnP5NgArnT0gfwU7UVFFVX8C4NsAfi0iW2Fv+JurqnkA/wvAgwA2+X0tUbuJpz6eiIiIiGjWYwaZiIiIiMiDATIRERERkQcDZCIiIiIiDwbIREREREQeDJCJiIiIiDwYIBMREREReTBAJiIiIiLy+P/H/ASVEnkEEgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 720x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# 1. Les données\n",
"vals = np.array([\n",
" 14.0, 7.6, 11.2, 12.8, 12.5, 9.9, 14.9, 9.4, 16.9, 10.2,\n",
" 14.9, 18.1, 7.3, 9.8, 10.9, 12.2, 9.9, 2.9, 2.8, 15.4,\n",
" 15.7, 9.7, 13.1, 13.2, 12.3, 11.7, 16.0, 12.4, 17.9, 12.2,\n",
" 16.2, 18.7, 8.9, 11.9, 12.1, 14.6, 12.1, 4.7, 3.9, 16.9,\n",
" 16.8, 11.3, 14.4, 15.7, 14.0, 13.6, 18.0, 13.6, 19.9, 13.7,\n",
" 17.0, 20.5, 9.9, 12.5, 13.2, 16.1, 13.5, 6.3, 6.4, 17.6,\n",
" 19.1, 12.8, 15.5, 16.3, 15.2, 14.6, 19.1, 14.4, 21.4, 15.1,\n",
" 19.6, 21.7, 11.3, 15.0, 14.3, 16.8, 14.0, 6.8, 8.2, 19.9,\n",
" 20.4, 14.6, 16.4, 18.7, 16.8, 15.8, 20.4, 15.8, 22.4, 16.2,\n",
" 20.3, 23.4, 12.1, 15.5, 15.4, 18.4, 15.7, 10.2, 8.9, 21.0\n",
"])\n",
"\n",
"# Pour que les figures apparaissent dans le notebook\n",
"%matplotlib inline\n",
"\n",
"# 2. Création des deux figures côte à côte\n",
"fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n",
"\n",
"# a) Sequence plot (1re figure)\n",
"axes[0].plot(range(1, len(vals)+1), vals, marker='o', linestyle='-')\n",
"axes[0].set_xlabel(\"Index\")\n",
"axes[0].set_ylabel(\"Valeur\")\n",
"axes[0].set_title(\"Sequence plot\")\n",
"\n",
"# b) Histogramme (2e figure)\n",
"axes[1].hist(vals, bins=15, edgecolor='black')\n",
"axes[1].set_xlabel(\"Valeur\")\n",
"axes[1].set_ylabel(\"Fréquence\")\n",
"axes[1].set_title(\"Histogramme\")\n",
"\n",
"plt.tight_layout()\n",
"plt.show()\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
...
...
@@ -16,10 +75,9 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.
3
"
"version": "3.6.
4
"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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