From 95308de0cb1e0ce10d70e38294bde984383c79a6 Mon Sep 17 00:00:00 2001 From: Arthur DANJOU Date: Tue, 2 Dec 2025 12:49:27 +0100 Subject: [PATCH] Implement feature X to enhance user experience and fix bug Y in module Z --- .../Lab 2 - Second maze.ipynb | 19 +++++++++++++++---- 1 file changed, 15 insertions(+), 4 deletions(-) diff --git a/M2/Reinforcement Learning/Lab 2 - Second maze.ipynb b/M2/Reinforcement Learning/Lab 2 - Second maze.ipynb index b1a8ebc..d38a544 100644 --- a/M2/Reinforcement Learning/Lab 2 - Second maze.ipynb +++ b/M2/Reinforcement Learning/Lab 2 - Second maze.ipynb @@ -667,7 +667,7 @@ "id": "813121a9", "metadata": {}, "source": [ - "### 3.3 Evaluating a random policy" + "### 3.3 Evaluating a policy" ] }, { @@ -721,13 +721,23 @@ }, { "cell_type": "code", - "execution_count": 555, + "execution_count": 558, "id": "cf45291e", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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I51IEzSIYEmPQxGQFQbxG586dK4+L17DobhTlxOtVrGMm1jMrCLHMjHi9irFk4r0jXkdi2RuRxRTvGzGBQENMIhHPp/hbi+VWuOAtkXFhBo3yRROUidl14gMoIzE27eOPP5bBh/hQFTM3xey0/HS9iYHuIgshsh5icVXxQSM+oEUmKivxASQ+rEUQJ84pPqD3798vP4xF12dhiOBIrKF148YNOWZOzFgVGTTRLVRYok7RzVenTh1Zt3hcYsFfEchoiEWAxXpl4gfcRaZDfHDnRASrYmKG6LYSAaoISkTAIs6RcQaioYmB7yJYEN21Yl048fcRM0h1LZKaXyKYFY9LdBGKdclEwCPGU+mqU6yDtmTJEtl9JwIdsV6fOL/IGhkqGBGvQ5EFE38XEXSJMXniby26pTVEACzWJRNZWrFemgiuxSxMMQO3oL9sIWajiteCCLjEWD8R4IugVPwtsr5mxUxrEUQL4jVGVGxEdrc4NiOnEmttFHcjiIiMifglATHuUmRvC5O5NRQRCIqMtq5fuyDSN9ELIiamRJxaBDsbK8OeOyYe5Zp/JL/8F2YYiBKwi5OIqAQS3cwiky1+SYOoWBXHyv5pxj9JgAEaEVEJImaxikk2v/76q+zqLezPmhFR8WKARkRUgogffxeTEsTSJytWrJA/5E5UrJhBKxSOQSMiIiL9jUE79k3xjEFrNcGox6BxFicRERGRwrCLk4iIiPQnTZ2+GfqcpSFAE7+p9/DhQ9ja2ub7J2qIiIioeIlRTOLXLipXriwX0qYSFqCJ4Ky4fu+PiIiIno/4+brnWYD7uXCSgP4CNJE50/yBjXWwHRERUWkcqC8SLJrPcSphAZqmW1MEZwzQiIiIjAuHJxkfThIgIiIiPU8SMHQXpxrGjiMGiYiIiBSGGTQiIiLSH7EevqHXxFczg0ZERERERYwZNCIiItIfLrNRKMygERERESkMAzQiIiIihWEXJxEREel3wL6hl71Qc5IAERERERUxBmhERESk/0kCht4K4NChQ+jTp4/8UXnxqwubNm3KdHz06NFyf8ate/fu0CcGaERERFSqxcbGwtPTE0uXLs2xjAjIgoKCtNvatWv12iaOQSMiIqJSrUePHnLLjYWFBZydnQ3WJmbQiIiIqFR3cebHgQMH4OjoiLp16+Kdd95BWFgY9IkZNCIiIiqRoqKismXBxFZQonvz5Zdfhru7O27fvo0pU6bIjNuxY8dgamoKfWCARkRERPqTVgzLbKSln8/NzS3T7hkzZuDzzz8vcHVDhgzRXm/UqBEaN26MmjVryqxa586doQ8M0IiIiKhECgwMhJ2dnfZ2YbJnutSoUQMVK1bErVu3GKARERGREVKnpW+GPicgg7OMAVpRuX//vhyD5uLiAn1hgEZERESlWkxMjMyGafj7++P8+fMoX7683L744gu88sorchanGIP26aefolatWujWrZve2sQAjYiIiEq106dPo2PHjtrb48ePl5ejRo3Cjz/+iIsXL2LFihWIiIiQi9l27doVM2fOLLIuU10YoBEREVGJnCSQXx06dIA6l9/v9PHxgaFxHTQiIiIihWEGjYiIiPRHTwvH5srQ59MDZtCIiIiIFIYBGhEREZHCsIuTiIiISvUkASViBo2IiIhIYZhBIyIiIj1n0Aw9SUANY8cMGhEREZHCMINGRERE+sMxaIXCDBoRERGRwjBAIyIiIlIYdnESERGRHqUBakOv7J8GY8cMGhEREZHCMINGRERE+sNJAoXCDBoRERGRwjBAIyIiIlIYdnESERGR/rCLs1CYQSMiIiJSmBKVQdvWYiqMQe+Ts6F0xvJcpqpVULr4VH4PKirG8J3Y3MQ4pvcbw3tn8NmvYQzU6pTiboKyid/hNPhvcabB2PGTg4iIiEhhSlQGjYiIiBSGY9AKhRk0IiIiIoVhgEZERESkMOziJCIiIv1hF2ehMINGREREpDDMoBEREZH+cJmNQmEGjYiIiEhhGKARERERKQy7OImIiEh/1Or0zdDnNHLMoBEREREpDDNoREREpD9cZqNQmEEjIiIiUhhm0IiIiEh/mEErlFIZoDk0ropGE/uirFsFxASEwW/uZkT4Beos69imLmqO9IZtTWeoU1IRfu4uLi/cjoRHUdoyTu3rw+OD7rB0tEPktYe4MPtfxN4LRWlQkOfSrm5lNJ7SH9aVHaAyUSHa/xGuLd0tn1N9PpflG1dF44l9ULZqBcQGhOHCnC14kkMbrVzKoeuWCUiJS9TuCz3jjxPjV8nr9nVd4DU142N4jCtLdiMsw2MoDMuKNmg+tS/Ke1SGVSU77BryAyJuBOdY3qV1bXh+2BXWTnZQq9V4cjUI5xbsROStR9oyNV95AR6vt4NFOWs8On0XJ2duQkJojGLaaGZlDq9x3eDavh5MLc1w3/cqzszZjtSE5EK3MWs7rSvZYWce7cyo8ftd0OD1djg0fg0eHLgm97X/fgQqNamqLWNiagKTMqbY2GUekiLiCt3OCp5V4TWxD2yqVkDMvTCcm7MF4Tm8LoXq/ZqhzkhvWFa0RcLjKFz9xReBPhflsXJ1XdB0Wn+UrewAiNflnce4tGQ3Qp/jdSmex2ZT+mn/3ruHLs31ebSr6Qivcd3hUL8yLMqVxb/tZyM5JkF7XGVqAs+PusHtpYYwtTJH5K0QnJ+/A0+uPcx3m3r27ImJEz9Bo0YNkZycjEOHDuOjj8bjwYMH2jL9+vXF/Plz4erqirNnz+HNN9/G9evXc6wzr/IFrY+oqJS6Ls4ydlZovmAk7q4/Dp/Os3Bvw3G0WDASZjaWOsub2Vjg9p+Hsa/PPOzv/w2SYxPR9Ksh2uNlq1ZEky8H4fKiHfDpMhuhp++g+TfD5X9GJV1Bn8v44Cc4M3ENdr80W5a/s+o/Wd7Ewkxvz6VoY8uFI+C/4QR2dpotL19cMCLHNmr49JqP7e1nyk0TnAlxwRE4+ela7OzyFXZ0mo1bq/7DiwtHaB9DYanT1Ag6ehOHx6/NV/knN4Jw4L0V2Njha2zqMg8P/7uBtt8O1R53bO4Oz7Ev4cjE9fi381wkhMeg1exXFdVGr/HdYOPqgB2vfo+tvRbKIKDphB54bgVsp0a52k5w9a6LuMfPvnwJBz9Yib/bztZut/89g+ATd54rOBOvy9YLR+D2+hPY2nE2bm84IW+XyeF1Kb4YNJnUB+e+2owt7Wfi3NytaDZ9AGzdK2lfl8c/WYutnb+S9d1Y9R9aL3q+16X4ewcfu4kjH6/JX/mUNATuuYSTn2/UebzWoJao3K4e9o3+GZs7foXgozfRZuGwArXJ3t4Oc+fOh5tbdbi710JUVBTWr1+nPV6nTh2sXr0S48ZNQPnylbB/vy82b94IU1NTnfXlVb6g9REVpZIfRWTh3MFDfvsM2Hwaacmp8jIxLFru1+Whz0U8OnIdqfFJ8pu9/7ojcGjgpg0aXHt4IezMHTz67zrSklJw8zdfmDvYoLxXNZR0BX0ukyPjER8ckX5DpZIfAGZlLWBRwVZvz6XL0zbe25TeRnGZEB6Nyh11tzEv2R5Dapp8DJZPH0NhJYbH4taGUwi//CwTkBuRCdNmw1SQ7SjrUg4qs/TXZY2+TXB3x0WEX7ovX7cXvt+DSk2ro6yrg2LaWKVjfVxZfhjJ0Qky03Llt0Oo1tMTps8Z7CYUsJ2yeSYqtJjeH6fnbpevk5yYmJuhWo/GuLP57HO10bWjB+IfR+Hu09eluBTvnZxelyIzFvswAo/P+Mvbj0/dQXxIJOxqOMrbSZHxMkh79t5KQ5nnfF2Kv/ftDSfz/TxG3wuF/+azmbK4GdlUcUDIyduIC46U7/27W87C2tEO5uWs892mtWvXYceOHYiNjUVcXBwWLfoOLVu20AZMw4cPg6/vAWzfvh2JiYmYOXMWHB0d4e3trbO+vMoXtD7KgfrpLwkYclMb/y8JlLouTrtazoi6EZRpn7htV9s5X/ev0NQd0Xcfyw8bXfWJ/TH+j+T+sKf/mZZUhX0uu+2bJrs4TMxMEbj9LOIfPtHbc2lX2wmRWdoYeSMYdrWccr1fp3UfyEDiyeX7uPKdD2KydLP23D9V+xgCtp1D3NPHYEjWzvbo/te7MLO2EJ/JMsARWQzBvrYzbq47nunDNiEsBuVqOSH2wRNFtFGlUsktY5BkZllGdvlF3gyBIdUd1hoRN4Px+GzuXYJuHevLDN39/Vef63z2tZwQeT3z61J0H9rX1v26DDl2E/Vebw/HljXx6OQdOLWsiTK2Vgg9fy9TuT6+U2XXsXhd3ium12VO7mw6i+Yz+qNsFQcZpLn3fwGhFwKeKxPZvn07XL16Famp6UF148aNcP78Be3xlJQUXLlyVe4/cOBAtvvnVb6g9REVpVIXoJlamyMl+tm4CEF8gxcfIHmxq+OCuv/rgjOTn3WdmFmby/tnrc+0bN71ldbnUnRviq4Xl44NYGJRRq/PpZmVRbY6U6Ljc2yj+LA4OOpH+eEpArC6b3ZA66VjsH/wd0iJfTYuTXRvisdQuVMDmVUpDuJDbmP7r+Xz5t7HC3HBz7rmyliZI0nX36asuWLaKLo864/xxpOn45rEeDnZdgO/d0RWsfbgFvB5bVmeZWsMaAb/HReQlpJzli0/TK0tMo3PEpJzeV2KLGjAzgto/e1w+cVBZKDOfPkvEsMyjykU3ZvidenaqQFMi+l1mZPYB+GIuB6MXpvHy+dPZDoPf/Bnoevz8vLCzJlfYODAZ0NObGxsEBHxNJP4lLhta6s7k5hX+YLWRzngJIFCUdY7WA9cu3mi0eR+8rromgo9eVuO/8hIjEdKiojNtR7bmk5osXgULs3fKuvQSIlLyjaeqYyNBVIzfJiXFEX1XAppiSl4sOsC2q8bi5i7j/Hkwr0ieS6rdPeE5+S+8rro8nl88jbM7ayzt/GJ7jaKruyIK+ldOikxCbi8aJesU0w0eHTsZrbHcH/nBXT86wPE3A1F+IXM2YzciG6yF6b2SW9nUCR2DlyCwhLP2831pzBg/0TsHrZMdoUlxyfBXMdzmRKbpJg2nv1mJ5qM747u696V2dJrfx6B84s1kRRZsIyKaGfzDO3cUcB2tpjWF34/7ENSVHyu5cpWLgenF6rj7PwdKCi37p5oOuXp6zIoAo/Ee8c+8+tSjD9LzOG9IycIDG8L3zE/ycH1IgMnxqyJoC74yI1sr8vAnRfw0l8fIPpuKMLy+bqs2qMxmmnbGAmfQd+jKDWd1AdWFW2xpdtcJD6Jg2uH+ujw0xj4DF6KhNBonfd57bWh+OmnH+X1e/fuoWFDT3m9YcOG2LlzG95/fyz27t2rLR8TEwN7e/tMdYjb0dG668+rfEHrIypKJT5Ae+BzQW4abn2bwX1I62yZMf81R3INzl5c8jquLvWRQUVGUbeCYV/HRXtbjE2zcXdE1G3DdtEYy3OZlcrMVM4AFQFaUTyX93ddkJtG1b7NUHNoq0xlxDlur85/G5HHFzETU1PZLVeQAO3ezotyKyqip1BkTDRjlSJvBqNc3WddzRYOZeXsv4hbIYppo8jonfxiU6ZZn/GPoxF1N6xA9T5vO51b1oRDHWc0/Th9goL40tHqy5dxe/NZnPt2l7Zcjf7NEHb5ASJv6x5jlZvAXRfkljHgqpX1dVnXBTdzeF2KWZrBR2/Iv6sgLkNO3IJzmzrZArSM7y3xusxvgBaw86Lc9MWhrguuLj+sHZd4f99lNB7bFRU9q8rruqxZs1ZuGYngbO9eH0yaNAWrV2eewHDxoh+8vNKDOMHMzAweHvXh53dJZ/15lS9ofURFqdRNEgg+cAWWjvYyuBD/gYlL8cEVfED3fxA2NRxlcHZ92R7c35Z9YPCDnedR4YUacGxdR069r/16B5kByLh0RElV0OfSsW1d2NZykoGX6NqsNbo9rBzttM+VPp7LoKdtrPq0jeJSDJwW+3VxaFAFNtUryaUKRBenx/td5W+6hV8MkMed2taV49fEYzC1KIPao9vD0skOoXmMXcoP0VWq6S4Vj19ezzBGK6OqXRvCxq28PC4yL00+6YmUhGTtkgV3tpxD9Z6eKN/AFaaWZeTyEWJ81fOOPyvKNoqMlEX5svK6CCabfNwdl37aXyS/oVeQdm7q/g12Dv1Ru4kg8ey3u3Dp5wOZxsfV6OMlx1EVhQe+V2DlaC8DNfG6FJfidfnQV/frMuxiIJxerA3bp5MCxKXTi7UQ8XQcm3OW12XdMe1hVQSvy4I8j5rymq5VE/On5TWPwS8Q1Xt7yWVfRB2uHevL97/ICOaXh4eHDM6mTZuO5ctXZDu+atVqdOrUET169IC5uTmmTp2C0NBQHDp0SGd9eZUvaH2Ug7QM3ZwG22D0VGqxQFEexFRmkdaNjIyEnZ0dlGpbi6n5KufgWQ2NPk1fuys2MBR+cl2s9A9gSyd7dPjrQxwYvBgJIZHw/OxlVOnVJNvaTJrjgpi1WP/9bjIQiLz+EBdmbcx17a7eJ2dD6fTxXIrnUQRllpXs5CzNqFshuPnb/kwTAAr6XKaqc/6w0CjvWU2ug2Yj12oLxYW5W/DkYvp6U1ZO9ui0fiz2D/pOzopz7doY9d/pAosKNvJv/uRSIK4s3Y3op1kTt95NUGd0O/kYUp8+hhu/+sq10nISn5q/70FDzn6Zbd/+t37HozN3UalJNbT7fjj+aZv+2qk/2luuc2ZZvixS4pNkZsdv6b5M61SJ4w3ebA9zOytZx8kvn28dtKJuo2uHemg2sZdsX9yjKFxb8V+eAVB+Q7ehOtq5L0M7238/XC6ZoUufbeNk96tmHTTBpU1ttJk7CJu6zpfdtbkxN8nfJ0MFz2py6QzxuowOCE1fBy3D67LrhrHYPTD9dSnUHd1ODqwXQW1iZLycnHLlp33yWLXeTVB3TDu5VIl4XYqg59ovvtpZn4V97ww6MzPbPt+3f8PjM3dR0asavL8fgX+9Z8n91i7l0Hvbx9nKb+v9rezWFV3snuN6wKVtHTkZJDYoAld/OyiX5sjJ4LNfZ7r9+++/YtSokXIGZ0YeHo0QGJj+3PXv3w/z5s1BlSpV5Lplb7zxlnbdsrZt28quUVvbctr75lY+P8cFtToFSlWcn9+ac0f88D/YWRl2/GtUfBLKvfuT4uOW3JTKAK24laQArbjl50OmuOU3QKO8GcOw3/wGaMXNGN47WQM0pWKAlvu5I5a8XTwB2vs/Kz5uyQ0/OYiIiIgUhgEaERERkcKU+FmcREREVHzEun1iM/Q5jR0zaEREREQKwwwaERER6Y+Yi1gEy+cUiKHPpwfMoBEREREpDDNoREREpD/8Lc5CYQaNiIiISGEYoBEREREpDLs4iYiISH/YxVkozKARERERKQwzaERERKQ/zKAVCjNoRERERArDAI2IiIhIYdjFSURERPrDLs5CYQaNiIiISGGYQSMiIiK9UavVUBs4o6UuAb/FyQCNjFq/U7OKuwlkQJNqfAmlm3NnOozB5ubToHRqdUpxN4Go2DBAIyIiIv3hGLRC4Rg0IiIiIoVhgEZERESkMOziJCIiIv1hF2ehMINGREREpDAM0IiIiEj/GTRDbwVw6NAh9OnTB5UrV4ZKpcKmTZuyLdsxffp0uLi4wMrKCl26dMHNmzehTwzQiIiIqFSLjY2Fp6cnli5dqvP4vHnz8N1332HZsmU4ceIEypYti27duiEhIUFvbeIYNCIiIirVevToITddRPZs0aJFmDZtGvr16yf3/fnnn3BycpKZtiFDhuilTcygERERkf6IVf2LYysi/v7+CA4Olt2aGvb29mjZsiWOHTsGfWEGjYiIiEqkqKioTLctLCzkVhAiOBNExiwjcVtzTB+YQSMiIiK9UacVzya4ubnJbJdm+/rrr2EsmEEjIiKiEikwMBB2dnba2wXNngnOzs7yMiQkRM7i1BC3vby8oC/MoBEREVGJXGbDzs4u01aYAM3d3V0Gafv27cvUdSpmc7Zq1Qr6wgwaERERlWoxMTG4detWpokB58+fR/ny5VG1alV89NFHmDVrFmrXri0Dts8++0yumda/f3+9talUBmgOjaui0cS+KOtWATEBYfCbuxkRfoE6yzq2qYuaI71hW9MZ6pRUhJ+7i8sLtyPh0bOBh07t68Pjg+6wdLRD5LWHuDD7X8TeC0VpUJTPpW0NR9T/qCfK1asM83JlsavTTKTE6G+NGSq5LG0t0GvKS/B4qR5My5gi9G4Yfhq8HMkJKTrLe7xUFz0nd4Gdkx0eXg7CP5O24vGdMHnMxFSFLh91QNMBjWFpa4nbR/2xcdo2xIbFoaQr37gqGk/sg7JVKyA2IAwX5mzBkxze31Yu5dB1ywSkxCVq94We8ceJ8avydZyoOJ0+fRodO3bU3h4/fry8HDVqFJYvX45PP/1UrpX29ttvIyIiAm3btsWuXbtgaWmptzaVugCtjJ0Vmi8YiWvf78L9HedQpWcTtFgwEvsHfKszGDCzscDtPw8j7Ky/nLbbYEIfNP1qCI6++bM8XrZqRTT5chDOTl2H0JO3UWt0ezT/ZjgODvkO6tSnoxRLqKJ+LtNS0hC01w931x+T9RAVhkoFjP5tKIKvP8I3nZcgISoBLvWdkZqi+/1Y0b0ChiwcgDVj/8Gt/+6g47veGPnzYCzs9iPSUtVo93Zr1OtYGz+88jviIuIxYGZPDF4wAL+PWo2S/v5uuXAErnzvg8Dt5+DWqwleXDACewYsyPWLk0+v+c91nEogI/gtzg4dOsj1znIifl3gyy+/lJuhlLoxaM4dPJDwOAoBm08jLTlVXiaGRcv9ujz0uYhHR64jNT4JqQnJ8F93BA4N3KAyTX/qXHt4IezMHTz67zrSklJw8zdfmDvYoLxXNZR0Rf1cxgaEInDLGUTfDjHwI6GSpE6H2ihX2R5bPt+J+MgEuRzSwyvB8guALk36N8Lt43dxbf9NpCSlYt+SQ7CpUBbVm6e/hxt0rYejK04iKiQaKYkp2LPoIOp414SDqz1KMpen7+97m9Lf3+IyITwalTvqfn8TUdEqdRk0u1rOiLoRlGmfuG1XO32WRl4qNHVH9N3H2uxY1vrE/hj/R3J/2Bl/lGRF/VwSFYUaLaoh7G44Bi0YgNptayDmcQwO/nwUZzde1FnepZ4Tgq48+1IgArmQm6FwqeeIO8fvQmWiAlTPysvb4gtKPSc8eRCJksquthMis7y/I28Ew65W5rWgsuq07gOozEzw5PJ9XPnOBzFZhnvkdZxKnozLXhjynMau1GXQTK3NkRKdOb2eHJ0AM+u8Z3bY1XFB3f91wZWF27X7zKzN5f2z1mdatuAzRUr7c0lUFKzLWaJma3fcOx2Ir15cgI1Tt6Pf5z3g3ryqzvLmZc0RH5X5dZwQnQCLp+/ha7430WZ0S9hXtoO5dRm8NK4D0tLUsLAp2e9xMyuLbP+3pUTH5/j+ToqIw8FRP2JPv2+x79XFiA0MQ+ulY2D29HnM6zgRlbIMmms3TzSanP7bWfHBEXKcmBhbkZGZjSWSImJzrce2phNaLB6FS/O3yjo0UuKS5P0zKmNjgdTYZwNhSwp9P5dEheHVryEGzOotr0c8iMDNI3cQ8TASx1aekvvunQnE5T3XUa9THfifCsh2/6TYJDmpICNxO/Hpe/jAD//JYO3//hoNUzNTHP71GDy61JXj0UqSKt094Tm5r7weFxyBxydvw9zOOvv7+4nu97cYuhBx5YG8LsaYXV60S9YpJho8OnYzz+NEVMoCtAc+F+Sm4da3GdyHtM6WzfFfcyTXgOLFJa/j6lIfPNj1rC4h6lYw7Os8W7hOjKeycXdEVAkcR6Xv55KoMM5vviQ3jWaveqJht/r5vn/QtRBU9njWLW9iZgLHWpXkJANBjEvbPnu33IRKNSui64ROCDx/HyXJ/V0X5KZRtW8z1ByaeY0n8X/d7dU5v7+zyWuctoHHjVMxURfDJAG18b+4Sl0XZ/CBK7B0tJfBhcrMVF5aVrRF8IHLOsvb1HCUAcX1ZXtwf9vZbMcf7DyPCi/UgGPrOjApY4rar3dAUmScXEKipCvq51IwMTeDSZn07w0m5qbyNlFBXPa5BjMLM7R8rZkcL+bm6SozXlf2XddZ/twmP9RsVR11O9SCqbkpOr3njdgncfA/eU8et61kIycdCBWql8erc/rgv9+OywkIJVnQ0/d31afvb3FpWcFW7tfFoUEV2FSvBJioYGplDo/3u8oPyfCLAfk6TkSZlbpPv+SoeJz6eCUafdoXDSf0QWxgKE6NX6kda2HpZI8Of32IA4MXIyEkEjWHtYW5gzU8xvWUm4bmuJh5eH7GBjQY30v+ZxZ5/aGsvzQMfC/q51Ksk9R58yfa/V13TZGX+/rNR3xQRDE8QjJGCdGJWP7GWvT7sodcCy0yOAqbZ+yQY9KE6s2rYszvr2FGoznydqh/GP4a/y/6TO8Ge2c7PLgUjD/fWieX2BBEcDZk0QDYOtoiNjwWJ9aeld2epeH9LdYoE+ugNf6kN2ICQnH842fvbysne3RaPxb7B32H+JBIWLuWR/13usCigo2cpf3kUiCOfrAcKU+7ivM6TiWY+Dg09EdiGoyeSp3bwh8ZftJA/MhoZGRkpt+0UpptLabCGPQ+ORtKx+eSlGhSDcOtQVRYc+5MhzHY3HwalK7fqVnF3QSjV5yf35pzh346BHYW5oY9d2ISKs5bp/i4JTelLoNGREREhqNOU8vN0Oc0dqVuDBoRERGR0jFAIyIiIlIYdnESERGR/nCSQKEwg0ZERESkMMygERERkf6I8fqGHrOvhtFjBo2IiIhIYRigERERESkMuziJiIhIb7gOWuEwg0ZERESkMMygERERkf5wmY1CYQaNiIiISGGYQSMiIiK9Uaelb4Y+p7FjBo2IiIhIYRigERERESkMuziJiIhIfzhJoFAYoBWDbS2mFncTSgxjeC5T1SooXb9Ts2AM5vp/CaWbg+nF3YQSY3PzaTAGxvL+IePCAI2IiIj0hpMECodj0IiIiIgUhgEaERERkcKwi5OIiIj0R/wspqG7HNUwesygERERESkMM2hERESkN2p1+mbocxo7ZtCIiIiIFIYZNCIiItIbLrNROMygERERESkMAzQiIiIihWEXJxEREekPf4uzUJhBIyIiIlIYZtCIiIhIbzhJoHCYQSMiIiJSmFKZQXNoXBWNJvZFWbcKiAkIg9/czYjwC9RZ1rFNXdQc6Q3bms5Qp6Qi/NxdXF64HQmPorRlnNrXh8cH3WHpaIfIaw9xYfa/iL0XWiraWRrbWGtMB1Tt/wLK2Foh7kE4ri7xQeiJW3he5RtXReOJfVC2agXEBoThwpwteJJDOzOqNuAFeE3pD78F23Fn7THt/jpj2qPagOYoY2uJ2AfhuPL9bjwugnYqSc+ePTFx4ido1KghkpOTcejQYXz00Xg8ePBAW6Zfv76YP38uXF1dcfbsObz55tu4fv16jnXmVb6g9RmzgrwmrVzKoeuWCUiJS9TuCz3jjxPjV+XruBLaWHt0e9QZ0+7ZHVQqmFmZ4+SnaxDke+W52klUUKUug1bGzgrNF4zE3fXH4dN5Fu5tOI4WC0bCzMZSZ3kzGwvc/vMw9vWZh/39v0FybCKafjVEe7xs1Ypo8uUgXF60Az5dZiP09B00/2Y4VKYmJb6dpbGNIoCsMawtTo1fCZ9OM3FnzRG8MG+YPM/zEPdvuXAE/DecwM5Os+XliwtG5NhODcuKtqg1vC0ibwZn2u/cvj5qDm+L4+NWYkfHWbi9+ihazH/tudupNPb2dpg7dz7c3KrD3b0WoqKisH79Ou3xOnXqYPXqlRg3bgLKl6+E/ft9sXnzRpiamuqsL6/yBa3PmBX2NenTaz62t58pN13BV17Hi7ONN5cf1O4X29kZfyM5Oh4hR288VztLO80vCRh6M3alLkBz7uCBhMdRCNh8GmnJqfIyMSxa7tfloc9FPDpyHanxSUhNSIb/uiNwaOCmDRpce3gh7MwdPPrvOtKSUnDzN1+YO9igvFe1Et/O0thGa9fyiLxyH9G3Q+TtBzvPw8TMRO5/Hi5P23lvU3o7xWVCeDQqd9TdTo3Gn/bBjd8OIDkqPtP+sq4OiLjyQNvO+0/bKfaXJGvXrsOOHTsQGxuLuLg4LFr0HVq2bKENmIYPHwZf3wPYvn07EhMTMXPmLDg6OsLb21tnfXmVL2h9xqywr8mS1MZq/Zrhvs9FpCWmFEl9RAVR6gI0u1rOiLoRlGmfuG1X2zlf96/Q1B3Rdx9DnZqmsz6xP8b/kdxf0ttZGtsYtMcPFhVsYVfHBTBRoUrvpoh/FKUNhArdztpOiMzSzsgbwbCr5ZTjfVw6NZAZv8Ad57MdeyDbaQP7p+2s2ie9nVG3H6Eka9++Ha5evYrU1FR5u3HjRjh//oL2eEpKCq5cuSr365JX+YLWZ8wK85oUOq37AN12TUSLb4fBplrFAh9XQhsFMczC8cXauLf5zHO1kcSSF6ri2YxcqRuDZmptjpTohEz7kqMTYGZtked9xYdy3f91wZnJa7X7zKzN5f2z1mda1qLEt7M0tjExPEZm2LxXvAu1Wi2zbKcnrpYZv+dhZmWR7bGnRMfn2E4xrqzB2O449sFynccTw2MRcuQ62v/5jradYhzN87ZTyby8vDBz5hcYOPBZl7SNjQ0iIiIylRO3bW1tddaRV/mC1mfMCvqaTIqIw8FRPyLyehBMrcxR980OaL10DPYP/g4psYl5HldCGzMSX2oibwXLsbBExaHEB2iu3TzRaHI/eT0+OAKhJ29nG4cjxiskRcTmWo9tTSe0WDwKl+ZvlXVopMQlZRvvUMbGAqkF/A/HGNrJNgK13+wExzZ14PvqQsQ9fIIKTaqj2ZyhOP7eH4i6mfmbfG6qdPeE5+S+8npccAQen7wNczvr7O18orudIjgL2HIGsYFhOo/XfasjnFrXwd5XFmnb2XzuEBwV7byRebyaMXnttaH46acf5fV79+6hYUNPeb1hw4bYuXMb3n9/LPbu3astHxMTA3t7+0x1iNvR0dE668+rfEHrMybP+5oUwwJEt7qQEpOAy4t2yTrFIP5Hx27meVwJbcwaoN1efSRf7SLShxIfoD3wuSA3Dbe+zeA+pHW2TIn/miO5fli/uOR1XF3qgwe7ntUlRN0KTu9GekqMVbJxd0RUAbu8jKGdbCNgX9cFD/ddkrM3hbCz/oi6GYyKLWoWKEC7v+uC3DSq9m2GmkNbZT5XHZccPyAqtagJs7IWqPH0PmVsLFGufmVU8KqOUxPXyvs+3Hc5WzvF/Yw5QFuzZq3cMhLB2d69Ppg0aQpWr16T6djFi37w8koP4gQzMzN4eNSHn98lnfXnVb6g9RmT531N6pTXQG21Mtso3ieWFWwRuDPz+58Kh+ugFU6pG4MWfOAKLB3t5Qe3ysxUXoqZcMEHLussb1PDUX5YX1+2B/e3nc12XAwSr/BCDTi2rgOTMqao/XoHJEXGyeUZSno7S2MbxfR9l04NYeVcTruERzmPKtnGuRVU0NN2Vn3aTnEpPiDEfl0Ovf4TfF9bggPDlspNZAVurfwPF77arG1n5c4NtO0UGQIH2U7jDc508fDwkMHZtGnTsXz5imzHV61ajU6dOqJHjx4wNzfH1KlTEBoaikOHDumsL6/yBa3PmBX0NenQoApsqleSYx5F96HH+13lVLrwiwH5Oq6ENmqIeh4euCKzbETFRaUWA1TyIKauizR+ZGQk7OzsoFTbWkzNVzkHz2po9Gn6ulixgaHwk+vmpL9BLZ3s0eGvD3Fg8GIkhETC87OXUaVXEzmGJyPNcUHMCKz/fjf5H0Xk9Ye4MGtj0ayDZgTtLG1tFFm9eu93Q+UuDVHGxgoJYdG4u/6YXMYjJ6nq/A1WLe9ZTa7nZCPXawvFhblb8ORi+npOVk726LR+LPYP+g7xT5+rjNosewNBB69o10ET7fT4oCtcuzSS2bWE0GjcWX8c/jm0s9+pWTAGKlXmpP/vv/+KUaNGyhmcGXl4NEJgYPpz179/P8ybNwdVqlSR65a98cZb2nXL2rZtK7tGbW3TA9m8yufnuFptHOP8NjefVqSvSdeujVH/nS5ycop4/zy5FIgrS3cj+unElLyOF1ZRtlEQQyK67fgUxz/8U66Rlh9Kfv8U5+e35twBQ4fAztzcsOdOSkLVtesUH7fkplQGaESGlN8ArTgp+QMmtwBNiUpSgEbG//5hgBap6LglN8r/346IiIiMFsegFU6pG4NGREREpHQM0IiIiIgUhl2cREREpDfytzEN3cWphtFjBo2IiIhIYZhBIyIiIr1Rq1VyM/Q5jR0zaEREREQKwwCNiIiISGHYxUlERET6k6aCOs3AXY5p7OIkIiIioiLGDBoRERHpd5kNAy97oeYyG0RERERU1JhBIyIiIr3hMhuFwwwaERERkcIwQCMiIiJSGHZxEhERkd6oi2GZDXUJWGaDAVox6H1ydnE3gQxofbPPirsJJYZanVLcTSgx+p2aBaXb3HxacTeBqNiwi5OIiIj0vsyGobeC+Pzzz6FSqTJt9erVQ3FiBo2IiIhKvQYNGmDv3r3a22ZmxRsiMUAjIiKiUs/MzAzOzs5QCnZxEhERkd7XQTP0VlA3b95E5cqVUaNGDQwbNgwBAQEoTsygERERUYkUFRWV6baFhYXcsmrZsiWWL1+OunXrIigoCF988QW8vb1x6dIl2NraojgwQCMiIiK9SUtTyc3Q5xTc3NyQ0YwZM+SEgKx69Oihvd64cWMZsFWrVg3r16/HG2+8geLAAI2IiIhKpMDAQNjZ2Wlv68qe6VKuXDnUqVMHt27dQnHhGDQiIiIqkcts2NnZZdryG6DFxMTg9u3bcHFxQXFhgEZERESl2oQJE3Dw4EHcvXsXR48exYABA2BqaoqhQ4cWW5vYxUlERESl2v3792UwFhYWhkqVKqFt27Y4fvy4vF5cGKARERGR3hR22YvnUdDzrVu3DkrDLk4iIiIihWEGjYiIiEp1Bk2JmEEjIiIiUhgGaEREREQKUyq7OB0aV0WjiX1R1q0CYgLC4Dd3MyL8AnWWdWxTFzVHesO2pjPUKakIP3cXlxduR8KjZz8f4dS+Pjw+6A5LRztEXnuIC7P/Rey9UAM+IjJ2lhVt0GxKP5T3qAyrSnbYPXQpIm4E51jerqYjvMZ1h0P9yrAoVxb/tp+N5JgE7fHqfZqg3uh2sl7xun189h7Of7sDccGRBnpERIZRvnFVNJ7YB2WrVkBsQBguzNmCJzn8f27lUg5dt0xASlyidl/oGX+cGL9Ke7vG0FaoMbgVLBzK4snlB7jw1SbE3g83yGMpqdLUKrkZ+pzGrtRl0MrYWaH5gpG4u/44fDrPwr0Nx9FiwUiY2VjqLG9mY4Hbfx7Gvj7zsL//N0iOTUTTr4Zoj5etWhFNvhyEy4t2wKfLbISevoPm3wyHyrTUPbX0HNRpagQfu4kjH6/JX/mUNATuuYSTn2/UefzRqTvY/8Yv2NR+Nrb2+AYx98PRfPqAIm41UfH/f95y4Qj4bziBnZ1my8sXF4zI8f9zDZ9e87G9/Uy5ZQzOXLs2Rq1hbXH8wz+xo9NshF8MQMsFwwET4/+wJ+NT6qII5w4eSHgchYDNp5GWnCovE8Oi5X5dHvpcxKMj15Ean4TUhGT4rzsChwZu2gDMtYcXws7cwaP/riMtKQU3f/OFuYMNyntVM/AjI2OWGB6L2xtOIvzyg3yVj74XCv/NZxF565HO4yJTlhQRJ6+rxGdLmho2VSsUaZuJipvL0//P721K//9cXCaER6NyR49C1lcfAVvPIuZeKNSpabj+y36UrVIeFbyqF3nbSxN1mqpYNmNX6ro47Wo5I+pGUKZ94rZdbed83b9CU3dE330s37y66hP7Y/wfyf1hZ/yLuPVE+VfRqyraLhoOc1srpKWk4uycbcXdJKIiZVfbCZFZ/j+PvBEMu1pOud6v07oPoDIzwZPL93HlOx8ZkAkqkSnL+rmuUsG+thPCzvL/czKsUhegmVqbIyX62VgdITk6AWbWef8+l10dF9T9XxecmbxWu8/M2lzeP2t9pmXz93tfRPoSej4Amzp8BfNy1qjRvxmi/HVn24iMlZmVRbb/f1Oi43P8/1xklQ+O+hGR14NgamWOum92QOulY7B/8HdIiU1EyJEbqPe/zniw2w+xgWHyugjazMrm3mVKucv425iGPKexK/EBmms3TzSa3E9ejw+OQOjJ23LcQkZivEJSRGyu9djWdEKLxaNwaf5WWYdGSlxStvEOZWwskBr7bBAqUVZVezRGsyl95fW4oEj4DPpeb+cSH0r+m86gx6aPsLX7fNlVT2SMqnT3hOfkp++b4Ag8Pnkb5nbW2f8/f6L7/3MxVCXiSvowgpSYBFxetEvWKSYaPDp2U3ZvWla0RYtvhqGMjSUCtp1FtP9jJEWmDxcgMqQSH6A98LkgNw23vs3gPqR1tsyY/5ojuQZnLy55HVeX+uDBrmd1CVG3gmFf59mv3YuxaTbujoi6HVKkj4NKloCdF+VmKCozU9nVaVm+LGIfRhjsvERF6f6uC3LTqNq3GWoObZWpjPj/+PbqnP8/zyZLpuXGHwflJpSxt4L7wJYIO3f3OVtOVHClbpJA8IErsHS0l4Ga+NASl+IbU/CByzrL29RwlMHZ9WV7cH/b2WzHH+w8jwov1IBj6zowKWOK2q93kN+2xHIcRAVhYm4mN3m9jGn6dTnCP+fyppry5k/LZ1hmw8rRTl63rGCDJp/0QtTdUAZnVKIEPf3/vOrT/8/FpWUFW7lfF4cGVWBTvZKclSm6OD3e7yr7wsRsTU32zaZaRXldfC40+exlBB+4iug7HB7wPNKQvsyGQTdwkoDRSY6Kx6mPV6LRp33RcEIfxAaG4tT4ldpxDJZO9ujw14c4MHgxEkIiUXNYW5g7WMNjXE+5aWiOxwaE4vyMDWgwvpf8jyLy+kNZv2YSAVF+vXpshvZ6lz//T176vv0bHp+5i4pe1eD9/Qj86z1L7rd2KYfe2z7Wlu+3Z5K83Nb7W8QFRaBcXRc0fLcLzG0t5fpooo7DY/80+GMi0vf/52KZDLEOWuNPeiMmIBTHP372/7mVkz06rR+L/YO+Q3xIJKxdy6P+O11gUcFGdvU/uRSIox8sl+PPhDK2lmgx7zW5XppYK01k664u3VPMj5JKK5VanfdQuqioKNjb2yMyMhJ2dunfypVoW4upMAa9T84u7iaQAa1v9hmUbtCZmcXdBKJsNjefBmPQ71T6FyclKs7Pb825z3Z+E7Zm5gY9d3RKEpru+1XxcUtuSl0XJxEREZHSMUAjIiIiUphSNwaNiIiIDEddDL/FqeZvcRIRERFRUWMGjYiIiPSazTJ0RkvNDBoRERERFTVm0IiIiEhvxKqghl4ZNA3Gjxk0IiIiIoVhgEZERESkMOziJCIiIr3hJIHCYQaNiIiISGGYQSMiIiK9SVOLTWXwcxo7ZtCIiIiIFIYBGhEREZHCsIuTiIiI9IaTBAqHGTQiIiIihWEGrRhsazG1uJtQYvQ+ORtKN/js11C6QZgJY6BSKf+/rJVexvH+NjcxhrXWjT8LQppJAoY/p7FjBo2IiIhIYRigERERESmM8vsLiIiIyGhxkkDhMINGREREpDDMoBEREZHepEElN0Of09gxg0ZERESkMMygERERkd6o1emboc9p7JhBIyIiIlIYBmhERERECsMuTiIiItKbNLVKboY+p7FjBo2IiIhIYZhBIyIiIr1RF8MyG2ous0FERERERY0BGhEREZHClMouTofGVdFoYl+UdauAmIAw+M3djAi/QJ1lHdvURc2R3rCt6Qx1SirCz93F5YXbkfAoSlvGqX19eHzQHZaOdoi89hAXZv+L2HuhpaKdRdlG2xqOqP9RT5SrVxnm5cpiV6eZSIlJQEnUs2dPTJz4CRo1aojk5GQcOnQYH300Hg8ePNCW6devL+bPnwtXV1ecPXsOb775Nq5fv55jnXmVL2h9xsBYn0erijZoOa0PyntUhnUlO2wf/COe3AjOsXyLqb3h3rOx9rZKpYKZlTl2DF2G8GtBeR4vDMuKNmg2pZ9so1UlO+weuhQRubTRrqYjvMZ1h0P9yrAoVxb/tp+N5AzvX9Eez4+6oXKH+jC1MMMD36s4O3cbUhOSC9W+wrazWm8v1BrYErbVK8pzB/13AxcW7tK2te6INqjWywtlXcohOTYRgbv94LdkL9JSUp+rnaUZ10ErnFKXQStjZ4XmC0bi7vrj8Ok8C/c2HEeLBSNhZmOps7yZjQVu/3kY+/rMw/7+38g3bNOvhmiPl61aEU2+HITLi3bAp8tshJ6+g+bfDIfK1KTEt7Oo25iWkoagvX44/+U/KOns7e0wd+58uLlVh7t7LURFRWH9+nXa43Xq1MHq1SsxbtwElC9fCfv3+2Lz5o0wNTXVWV9e5Qtan7Ew1udRnabGwyO3cHDcs7bm5uTsbfirzVfa7cKPvoi6G6oNvvI6XhiijcHHbuLIx2vyVz4lDYF7LuHk5xt1Hvcc1x1lq5THrle/w/beC2BVyRZeH/codPsK204zyzK4+J0Ptrw0Fz4Dv4dVRVs0ndxHe1xlYoJTX27Cps5fY9/on1GpmTsa/K/jc7eTqKBKXYDm3MEDCY+jELD5NNKSU+VlYli03K/LQ5+LeHTkOlLjk+S3Lf91R+DQwE0b2Lj28ELYmTt49N91pCWl4OZvvjB3sEF5r2olvp1F3cbYgFAEbjmD6NshKOnWrl2HHTt2IDY2FnFxcVi06Du0bNlC+0E/fPgw+PoewPbt25GYmIiZM2fB0dER3t7eOuvLq3xB6zMWxvo8JoTH4saGUwi7/CzTVxA1+zfBrc3nCn08PxLDY3F7w0mE57ON0fdC4b/5LCJvPdJ53LVjfVxbfgjJ0QkyW3X190Oo1tNLZtMM2c7bf5/C4zN35f+DSVHxuP3PKVT0qqo9fm3FYTy58kAGnPGPonBv+3lUfM7/z0s7zTIbht6MXakL0OxqOSPqRuZvleK2XW3nfN2/QlN3RN99DHVqms76xP4Y/0dyf0lvZ1G3sTRr374drl69itTU9G6Uxo0b4fz5C9rjKSkpuHLlqtyvS17lC1qfsSoNz2PFxlVg51YBd7acK9Tx4qIyER+YGT40TVQym2XjVqE4m4VKzaoj8mbOXworNa2OiJs5d5kS6UupG4Nmam2OlOjM45rENzoza4s872tXxwV1/9cFZyav1e4zszaX989an2lZixLfzqJuY2nl5eWFmTO/wMCBz7p7bWxsEBERkamcuG1ra6uzjrzKF7Q+Y1RansdaA5rh/uEbMgtXmOPFRYz1qj+mnTbYEdeFMjbP93/l83BuXRvu/ZvB941fdR6vMaAZKnhWxZ5hPxi8bSWJWPLC0MteqEvAMhslPkBz7eaJRpP7yevxwREIPXlbjp3KSIyZSorI/T8z25pOaLF4FC7N3yrr0EiJS8o25kr8h5Mam1ji2qnvNpZkr702FD/99KO8fu/ePTRs6CmvN2zYEDt3bsP774/F3r17teVjYmJgb2+fqQ5xOzo6Wmf9eZUvaH1KZazPY/UejeSkACE2KBLbXl2KwhAD7au91AD/Tf67UMdzU7VHYzSb0ldejwuKhM+g71GUzn2zQ04i6Lr2PZk1v77yPzi/WAuJEfHF0k7H5u5oOfNVHJ2wFpG3QnSep+E7XXDw3eVICI0p1DmInkeJD9Ae+FyQm4Zb32ZwH9I6WzbHf82RXAOKF5e8jqtLffBg17O6hKhbwbCv46K9LcZT2bg7IqqA46iMoZ36bmNJtmbNWrllJIKKvXt9MGnSFKxenXmA88WLfvDySg8+BDMzM3h41Ief3yWd9edVvqD1KZWxPo93d/rJ7XlV795QTq55eORmoY7nJmDnRbnpi8iui8H3GbNX8aHRcuyaodspgrNWc4fg+NQNeHTqjs7gzOvjnjj03gqdwRuRIZS6MWjBB67A0tFeBhcqM1N5aVnRFsEHLussb1PDUQYU15ftwf1tZ7Mdf7DzPCq8UAOOrevApIwpar/eAUmRcXIJiZLezqJuo2BibgaTMunfG0zMTeXtksjDw0MGFdOmTcfy5SuyHV+1ajU6deqIHj16wNzcHFOnTkFoaCgOHTqks768yhe0PmNhzM+jfK0/fX2L96S8rsq9W6Zm/6a4veW8nLlYmOP6bqM4bmqu+/1btnI5WJQvK6+Xq+siZ3BeXra/SNZDKEg7xZiz1vOG4uT0fxBy7Fa2427dGqHJhF44/MGfiLhe+Fmw9Ix4ORbHZuxUanXe7w4xdV2k8SMjI2FnZwel2tZiar7KOXhWQ6NP09fuig0Mhd+cLXjiFyCPWTrZo8NfH+LA4MVICImE52cvo0qvJtnW6tEcF8Ssxfrvd5PBSuT1h7gwa2PRrINmBO0syjZauZRD582fZDvHvn7zER+UedyPRu+Ts6F0KlX2IPP333/FqFEj5czDjDw8GiEwMH0duf79+2HevDmoUqWKXG/rjTfe0q631bZtW9mlZ2tbTnvf3MrndVytToExyPpcKu15FFZ65e//oeHnvsi2b8+bfyDkzF1UalIVnZYMl0tmaNjXqITeG97F5r7fIebBk2z3zet4VuYmeU/OGXRmZrZ9vm//JmdBipmN3t+PwL/es+R+a5dy6L3t42zlt/X+FnFBEXL9s6af9oK5vRXiQ6Jw7c//4L/pDIpCQdrZ4acxqNikOlITM/8/pDnec8t4WDvZITXp2Xsir65UXedXiuL8/Nace2fLsShrZtixhrEpiehx4jvFxy25KZUBGpUcxhqgKY2xBmhKlN8ArbjlJ0Cj/GGAlvu5t7f4sFgCtF4nFys+bslNqeviJCIiIlI6BmhERERECqP8/gIiIiIyWlwHrXCYQSMiIiJSGGbQiIiISG+KY9mLtBKwzAYzaEREREQKwwwaERER6Q3HoBUOM2hERERECsMAjYiIiEhh2MVJREREesNJAoXDDBoRERGRwjCDRkRERHqTplbJzdDnNHbMoBEREVGpt3TpUlSvXh2WlpZo2bIlTp48WaztYYBGREREpdpff/2F8ePHY8aMGTh79iw8PT3RrVs3PHr0qNjaxACNiIiI9EZdTFtBLFiwAG+99RbGjBkDDw8PLFu2DNbW1vj9999RXBigERERUYkUFRWVaUtMTMxWJikpCWfOnEGXLl20+0xMTOTtY8eOobiUqEkCvU/OLu4mlBjbWkwt7iaUGGp1SnE3ocTgc1m6qFTG8RE1CDOLuwmKJlb1N/SgffXTXxJwc3PLtF90YX7++eeZ9oWGhiI1NRVOTk6Z9ovb165dQ3Exjlc/ERERUQEFBgbCzs5Oe9vCwgLGggEaERER6U3a083Q5xREcJYxQNOlYsWKMDU1RUhISKb94razszOKC8egERERUallbm6OZs2aYd++fdp9aWlp8narVq2KrV3MoBEREVGpNn78eIwaNQovvPACWrRogUWLFiE2NlbO6iwuDNCIiIhIb9RqldwMfc6CGDx4MB4/fozp06cjODgYXl5e2LVrV7aJA4bEAI2IiIhKvffff19uSsEAjYiIiErkJAFjxkkCRERERArDAI2IiIhIYdjFSURERHqTpk7fDH1OY8cMGhEREZHCMINGREREev1dTM1vYxrynMaOGTQiIiIihWEGjYiIiPSGY9AKhxk0ei4Ojaui3er30ePQDHiveh/lGrnlWNaxTV20+ulNdN07DS/tmoxmXw+FpeOzH7Gt1KoO2q35QB7vumcqWn4/BrY1i28VZyJSlp49e+LgQV+Ehz9GSMhDbNjwF1xdXTOV6devL27cuIrY2CgcPnwQdevWzbXOvMoXtD6iosIAjQqtjJ0Vmi8Yibvrj8On8yzc23AcLRaMhJmNpc7yZjYWuP3nYezrMw/7+3+D5NhENP1qiPZ41I0gnPhgOXZ3mYU93b/GoyPX8cK8YQZ8RESkZPb2dpg7dz7c3KrD3b0WoqKisH79Ou3xOnXqYPXqlRg3bgLKl6+E/ft9sXnzRpiamuqsL6/yBa2PqCgxQKNCc+7ggYTHUQjYfBppyanyMjEsWu7X5aHPRRl0pcYnITUhGf7rjsChgRtUpukvQ3FfsWmo09Jg5VJOe5yISre1a9dhx44d8kes4+LisGjRd2jZsoU2YBo+fBh8fQ9g+/btSExMxMyZs+Do6Ahvb2+d9eVVvqD1Ue6TBAy9GTt+8lGh2dVyllmvjMRtu9rO+bp/habuiL77GOrUZz/KYelkj277pqHnf1+gwfheuLXiUKbjREQa7du3w9WrV5GamipvN27cCOfPX9AeT0lJwZUrV+V+XfIqX9D6iIoSJwlQoZlamyMlOiHTvuToBJhZW+R5X7s6Lqj7vy44M3ltpv0JIZGyu1TU7darKeJDIou83URk/Ly8vDBz5hcYOPDZMAkbGxtERERkKidu29ra6qwjr/IFrY904ySBwmEGjfLNtZsnuh+YLrf268YiNS5JjivLSIw/S4lLzLUeMfC/xeJRuDR/K0JP3tZZRtR99+8T8PzsZVhVdijSx0FExuG114YiOjpCbpcuPctkNWzYEDt3bsP774/F3r17tftjYmJgb2+fqQ5xOzr62dCJjPIqX9D6iIoSM2iUbw98LshNw61vM7gPaZ0tM+a/5kiuwdmLS17H1aU+eLDrWV06qQBTCzNYu5RD/MMnz/8AiMiorFmzVm4ZieBs714fTJo0BatXr8l07OJFP3h5eWpvm5mZwcOjPvz8LumsP6/yBa2PqCgxg0aFFnzgCiwd7WWgpjIzlZeWFW0RfOCyzvI2NRxlcHZ92R7c33Y22/HKLzWCdZXygEolM3ENx/dGSnwyIq89NMCjISKl8/DwkMHZtGnTsXz5imzHV61ajU6dOqJHjx4wNzfH1KlTEBoaikOHDumsL6/yBa2Pcu/iNPRm7JhBo0JLjorHqY9XotGnfdFwQh/EBobi1PiVchyaZsB/h78+xIHBi+XYsprD2sLcwRoe43rKTUNz3MrFAfXe6wpzBxs50zPiyn2ceP8PpMTm3mVKRKXDhAnjUalSJSxc+K3cNDw8GiEwMBA3btzA8OEjsXjxAlSpUgVnz55D374DtJMI2rZtK7tGbW3Lydt5lc/rOJE+qdRqdZ5xplhrRvS7R0ZGws7u2cKiVHJtazEVxqD3ydnF3QQi0hOVyjhyCGp1CpSqOD+/Nef+pfFEWJvmPXmsKMWlJuKti3ONOm5hFycRERGRwhjH1xMiIiIySupiGBOmLgFj0JhBIyIiIlIYBmhERERECsMuTiIiItIb8WN9hv7BvjQYP2bQiIiIiBSGGTQiIiLSG7VaJTdDn9PYMYNGREREpDAM0IiIiIgUhl2cREREpDecJFA4zKARERERKQwzaERERKQ3acXwSwJp/CUBIiIiIipqDNCIiIiIFIZdnERERKQ3orfR0D2Oahg/ZtCIiIiIFKZEZdD+9JoBY1DWLBXKZxyrMK9rOh1KN9LvZyhdckoojMH/uX4GpTM3NY73TmenRCidWp1S3E2gIpskYNj3RVoJSKExg0ZERESkMCUqg0ZERETKwjFohcMMGhEREZHCMEAjIiIiUhh2cRIREZHe8JcECocZNCIiIiKFYQaNiIiI9Cbt6Wbocxo7ZtCIiIiIFIYBGhEREZHCsIuTiIiI9EatTt8MfU5jxwwaERERkcIwg0ZERER6o4YKaQb+fWe1kfyedG6YQSMiIiJSGGbQiIiISG84Bq1wmEEjIiIiUphSmUGzqmiDF6f1QQWPyrB2tMPWwT/iyfXgHMurTE3g+U5H1OztiTI2Fgg+6Y/jM7ci4UlstrLeX78C9x6N86wzPyp4VoXXxD6wqVoBMffCcG7OFoT7BeZYvnq/Zqgz0huWFW2R8DgKV3/xRaDPRe3xMjaWaPRRd1TuUB8mZqaICQjDwbd+RWpisiLa6NymDuqMagf7Wk5IS0lF6Lm7uPjtDsQ/isLzsKxog+ZT+6K8R2VYVbLDriE/IOJGzn8bl9a14flhV1g72UGtVuPJ1SCcW7ATkbceaV8PXuO6oepLDWBqaY7IWyE4+80OWS6/nJ0d8cMP89G0mScqV3ZG8xc648KFy5nKTJr0Id54cwQcHOxx585dTJk8C3v3HtRZ34gRg/B/74xBnTo1ERcXj1279uHTTz5HZGT6c2dqaoq582bg1Vf7omxZa1y6dBXjx3+Gc2efvT6y6tmzJyZO/ASNGjVEcnIyDh06jI8+Go8HDx5oy/Tr1xfz58+Fq6srzp49hzfffBvXr1/Psc68yhe0vqy6v98W3T7w1t5WqQALa3P89NZfOL/zWrby5avYY/bxj5AQm6Tdd+OoP34cs05728rOAq981hWe3erBtIwpHt0Jw7ev/IHkhBQ8D1Fvv6kvoVHXejAT9fqH4buBy3XWa2KqQo/xHdD85cawsrXEjSP++GvKNsSExcnjHd9uhRYvN0b5KuWQEJOIs1svY9u8fUhNfr7lOss3ropGE/uirFsFxAaE4eLczXiSy/tbo1r/5vCc0h+XFmzHnXVHsx2v985LqDOmA05+sgrBB68+VxuJSqpSmUFTp6nx8Ogt+I5/9p9wbhqMaoMq3rWxY+Qv2NB5PpJiEtD2q5ezlXP1rg3L8jZF0sYydlZovXAEbq8/ga0dZ+P2hhPytgiydLGv64Imk/rg3FebsaX9TJybuxXNpg+ArXul9AIqFVovGgF1Sip8Xl6ELR1n48zsTTIQUkobxf1urDiEHb3mY1ffb5ESm4iWXw9BUfy9g47exOHxa/NV/smNIBx4bwU2dvgam7rMw8P/bqDtt0O1x2sPbglX77rYM/oX/NvxawQdvQXvhcMK1Ka0tDT47PbFq6+O0Xm8b9/uGDf+HQzoPxwVK9TG4kU/YcPff8DBoZzO8lbWVpg8aSaquDaCl2d7ODs74fvv52iPv/ve6+jVqyvaefeGk2M97PbxxcaNK3Jto729HebOnQ83t+pwd6+FqKgorF//7D1Tp04drF69EuPGTUD58pWwf78vNm/eKINBXfIqX9D6dNm15D+Mq/u1dlvx0SbERSbgsu+tXO83pfkC7X0yBmciwHt3+Wsy0JnR7nt87DEHqz7ditSU5wt8RL1v/z5U1ju7wxJMajQX6yZty7HeTv9rDY+OtbGw/++Y1uxbxEcnYMSiAdrjJiYqrP10KyZ7zceC/r+h1ovV0OOjDs/VRvH+brFgJPzXH8euzrPgv+E4Wi4YCbMc3t8aFhVtUXN4W0Td1P0lyK62M5y968kvaFS6fknA0JuxK5UBWkJ4LK6vP4WwS88yAbmp2qkerq05gfhH0UhNTMGFH31RuVUtlK387MPSzNoczSd0x/HZW4ukja4dPRD/OAp3N51GWnKqvEwMi0bljh46y5et7IDYhxF4fMZf3n586g7iQyJhV8NR3nZuXRvWzvY4P387kqPiZQd95PUgqFPTFNNGkUkLPnIDqfFJSE1Ixs01R1G+YRWZsXoeieGxuLXhFMIv5+/vnRAaIzdJBfkclXUpB5VZejtsXB0QcuoO4oIiZfDnv+WszMSal7POd5sePQrFT8uW4/SpczqPu9eohtOnz+PSpfSsz+rVf6NMGTO5X5eff1qBQ4eOIjExEU+eROCXn1egdZsWz+pzrwZf38MICLgvg8MVK9bB1dUFFSqUz7GNa9euw44dOxAbG4u4uDgsWvQdWrZsoQ2Yhg8fBl/fA9i+fbs878yZs+Do6Ahv72cZrIzyKl/Q+vKj9ZAmOL35UqGzXQ061kZ5V3v89dkOxEUkyHEt9y8HI+05A7T6HWvDobI9/pmxUwaQot4HudTbuFs9HFp+EpEh0UhOTMHOhQdRr11NmQEU9i07ioCLD+X9I4Ojceqfi3Bv7vZcbXTp4CGDqIDN6e9vcZkQFi3356bxp31x43dfJEWlZ/cyMVHBc+oA+M3fKuskopyVygCtUF93xaa9mX7dobaTdl/TsV1we9tFRAeEF8kpRTefCKAyEt1y9hnOmVHIsZtIiUuEY8uasq1OL9ZCGVsrhJ6/J49XbOaOmMBwNP/yVfTeOwUv/fUBqvZqoqg2ZlWpmTui7j5+riCysEQw+/LByRh4bDqaftIDV/84DPXTD887m87AoX5l2FRxkEFbjQHNEHohAEkROj6QCmnD+s2yG9TLqyFMTEwwctQQ3L8fhMtPA7a8eLdrDT+/Z11Hy/9Yg6ZNG6NGjWowMzPD668Pw7FjpxAWlv/Xa/v27XD16lWkpqZ/sDZu3Ajnz1/QHk9JScGVK1flfl3yKl/Q+vJSzsUWHu1r4sjas3mW/Wzfu5hz9mO88/sQONWsoN1fu1U1PL4bjtGLB2C+3yf4bN87ePFVTzyvWi2r4fG9cAxfOABfnZ+ASXv+D81faZxjeZWJKuN/QfK2ULme7veayKA9vBbyXG20q+WMqBuZ39/itsiA5cSlUwOYlbXA/R3ndR6vObQNom4FI+zc3edqGxmXNHXxbMauVI5BK6gH/91E/ddaIuj4bSRGxsPz3U5Qp6WhTFkLebySpxucXqiO7UN+KrJzmlpbIDkmIdO+5Oh4mFmnnzMrkXEK2HkBrb8dLoMGkdk58+W/SAxLzwSZ21nBsXkNnJ+3Fadm/IPyDVzR5rtRiHv4RI71UkIbs3aHevxfZ5yYlL9u6KIWFxyJje2/lplR9z5eiAt+1h0T8+AJIq4HofeWcbKLWGRkD36wskjPLzJsO3fsxbHjPnIcXGxsHAYNfF1mlvLSrVsnvP76a+jYoa9235079+QYt2vXT8jAJyTkMfr2eS3f7fHy8sLMmV9g4MBnXc42NjaIiIjIVE7ctrW11VlHXuULWl9eWg1qggdXQxDgl/PYwNjwOMzp/QsCLwXDwroMen7YHmPXjsDMTj8gISYJZctZoW4bd6ybtgMrxm1CNU9XfLBqGEIDn+DWiQAUlnU5S9Rp7Y6/p+/E6o83oaqnK/5vxWsID4zA7ZPZ672y/ybaj2mJ64fvIDYiHj3Hd0BamhqWttnfa62GNIF7MzfM7/UznoeptTmSo7O+vxNyfH+XsbWEx9juOP7Bcp3HrSs7wH3gizg4culztYuotCgVAZp7z0ZyUoAQGxSJLa8U7D8Iv98Oo4y1Obr9/jpMzExwZeUxJHeoi8TIODnY/sXP+uDE7G3PNZ7Lrbsnmk5J/0CNC4rAo5O3UcY+c5eZGKOVGJF9YoJ28P3wtvAd85MctC6yW2I8mAiYRLdhSlySDDrEeDEh7EIAHh68CmfvuvkO0PTdRg27mk5ou3gkzs/bhkcnbqOgqvVojBempv+9RTfkzoFLUFjiebu5/hQG7J+I3cOWyS7aFyb3lpMcNnWdh8QncXDtUA+dlo3GzsE/ICE0Wmc9Q4e+jKU/zJfXA+7dh5dX+1zPO23aeHTv0RkNPFrD3z8A3t6tsO6vX9Cj+6Bskwky6tChDZavWCKDOU33qPD9kjlyXFpVt8Z4/DgM/fr1gM/uv9GsaScEBaVnWl57bSh++ulHef3evXto2DA9U9SwYUPs3LkN778/Fnv37tXWGRMTA3v79C42DXE7Olr3c5BX+YLWJzQf0Aivzektr4ffj8DMzuntF1oP8sLeX44hN4lxybh3/qG8Hh+ViH9m7pZ11njBDVcO3EZibBLCH0bi4PJTssyd04G44HMNjbrUKVCA1qx/Qwz+6mk7H0TIQOvJw0gcXpFer//pQPjtvo4GnevoDND2/PAfLGwsMHbDaDlRwfeXY2j0Ul3EPonPdp5eEzrih+GrEPUo+xef3Lh284Tn5H7yelxwBELF+9vOKt/vb4+xPRCw5QxiA8N0HheTBq4t25M+xIKI8lQqAjT/HX5yK6y0pBSc/tZHboK9e0U0eb8TQv0ewMrRFvbuldBhQebB7F1/GY2LPx/E1VW5f0BoBO66ILeMwUytoa2yZZVurj6i8/7l6rog+OgNRD4dmCsuQ07ckjMjRfAjbrt2alDgx27INmqCM+8fxuDSkt0I3PnsXAVxb+dFuRUV0bVkam6mHUMnHsfV5Ye149Tu77sCr7FdUdHTTV7XZe3ajXLLL0+vRvjn760y8yWI8WUXL15Bp07tcgzQRHC27q9fMWL4O/D1/S/TMS/PRpg//3sEB6fPRN24cRtmfzUNrVo1l9eFNWvWyi0jEZzt3euDSZOmYPXqNZmOXbzoBy+vZ919ouvUw6M+/Pwu6WxfXuULWp9w6l8/uWVVr6077JxscHLjxedaQOn+lRB49ayP53Vm0yW5abQc6AnPHvmvNyUxFZtm7pab4FSrInpN6IR75+5nCs5ent4NP4xYjYfX0v/OBfHA54LcNKr2bYYaQ1pnKmNXxwW31+h+f1dqXlN2b2ruI4K5cvVdUd6rGk5PWotKLWrJ+zcY30seN7e1QpMZryJg6xlcXrijwO0l4yHeUYbucVTD+JXaMWgm5mZyk9fLmKZfzzjII8uyHGVd0r/Z21Ytj1af98OVVceQFBWf3hXWYyG2DV6m3YRDEzfg5sYzhW7fA98rsHK0l0GQysxUXlpWsMVDX90BQNjFQDi9WBu2Twfci0sxxkt0xQnifqYWZnB/pbkcqOvQoAoqt6uHoIPXFNNGcVsEZ5d/3It7W/MeN6Svv3fVrg1h41ZeHhcfMk0+6YmUhGQ8ufZQ+zjce3nBQkwKUKng2rE+rJzsZFawICwsLOQmlDE3l9c14xtPHD+Nl1/pjapVq8jbrVo3R/PmTXDhgu5gpV271vhr/W8YM/oD7NlzINvx4ydOY9jwgahYsYI8h8igVaniIpfbyImHh4cMzqZNm47ly7PP+Fy1ajU6deqIHj16wNzcHFOnTkFoaCgOHTqks768yhe0vrwmB5zfeVVmxXJTvYkrnGtVlGO6RBdn/yldZHx250x64HN+11WUsTCD9/Bmsowo37hrPVzcnf+lP3S56HNN1ttmWHq91bxcZUbs0h7d9do52sDBNf3/oErVy2PovD448OtxOcFAaNq3AV75vDuWjVojJxsUhaADV2DpaC8DNfH+Fpcicxx8QPcXhMNvLMOBYd/j4PAlcou4+gC3Vv2Hi19vlsd3956rPSa2hNAoXF60Azd+3V8k7SUqaVRqMcAlD2J6vehqiIyMhJ2dHZTqT68Z+S478vwX2fb5vPkHQk7fhWOTqui8dDjWtv5K7q/Y0BXeX78qA7WEJ3G48c9pXPrtcK5157YOWlmz/HWFVvCsJpelsHGrgOiA0PQ1xi6mr0Fk5WSPrhvGYvfA7+RMSKHu6HZw7/8CLMqXlWPlAradw5Wf9mnrc2jgCq9P+8hZk/GPInHtt4MIyGEwb34VZRubTX8Z1Xp7ybFqGWW8f1bJafn7jjHk7JfZ9u1/63c8OnMXlZpUQ7vvh+OftrPl/vqjvVHzlRdgWb4sUuKTEHb5AfyW7tOunSbWwmsyvjtc2tSBmVUZxAZF4PJvhxC4W3fwNNJP91igpOTsr48unV+W2TKRPRIZrldf7YNy5ewRHBSCpT/8jh+W/ibLtWnTElu3rUF5h5rpz9Gef+Dt/SLi4zOPGdIct7OzxfxvvkD37p3lOmj37gVizteLsWFD+odnckpotrb8/vuvGDVqpJzBmZGHRyMEBqb/jfv374d58+agSpUqct2yN954S7tuWdu2bWXXqK3ts9nOuZXPz/H/c/0M+RnfNef0x1gycjVuHM3cfe9Q2Q7Tfd/Dlx2X4snDKLzQryH6ftJRBkBJ8cm4e+4BNn29Fw+vP9bep5pXZQyZ1RMudSohIigKO747jJP/5JyZMzfN328AVvWsjIEze8Cpdnq9u78/jNNPs4E1mleVY9I+9UhfKkUEcCO/GwA7R1vEhMXi6Jqz2LP0WZZ0+n8foJyzHVKSnv3fIrpS57yU/oVRl85OeY9nLO9ZTc7KFOugxQSG4uKcLXjiF6B9f3f860P4Dl6s8/3Z+sc35BpnutZBE7psmoBLC7fnug5a35Pp70kqvOL8/Nac+4vak2FpmvvyLEUtITUBM25+rfi4JTelNkArTvkN0Chv+Q3QilNOAZqS6ArQlCg/AVpxy2+AVtzyE6AVNwZoz48BWqSi4xaU9jFoREREVDz4W5yFo/z0AxEREVEpwwCNiIiISGHYxUlERER6Uxy/jZkG48cMGhEREZHCMINGREREelMcv42ZxkkCRERERKVH9erV5YLfGbc5c9LXLCxKzKARERERFcCXX36Jt956S3vb1tYWRY0BGhEREelNSfwtTltbWzg7O+v1HOziJCIiohIpKioq05aYWDS/oCG6NCtUqIAmTZpg/vz5SElJQVFjBo2IiIhK5CQBNze3TPtnzJiBzz///LnqHjt2LJo2bYry5cvj6NGjmDx5MoKCgrBgwQIUJQZoREREVCIFBgZm+i1OCwsLneUmTZqEuXPn5lrX1atXUa9ePYwfP167r3HjxjA3N8f//vc/fP311znWXxgM0IiIiEhv1FDJzdDnFERwlp8fS//4448xevToXMvUqFFD5/6WLVvKLs67d++ibt26KCoM0IiIiKhUq1SpktwK4/z58zAxMYGjo2ORtokBGhEREVE+HDt2DCdOnEDHjh3lTE5xe9y4cRg+fDgcHBxQlBigERERkd6I8fqGniSg1lO9YozZunXr5EQDMSPU3d1dBmgZx6UVlRIVoF2PNoUxmH37i+JuAhnQm1ZroXRJycEwBu+6Kf+9s/jedBiDbS2mQumMoY1C75Ozi7sJZCBi9ubx48cNcq4SFaARERGRsvC3OAuHC9USERERKQwDNCIiIiKFYRcnERER6U1J/C1OQ2AGjYiIiEhhmEEjIiIiveEkgcJhBo2IiIhIYZhBIyIiIr1RP/1n6HMaO2bQiIiIiBSGARoRERGRwrCLk4iIiPSGkwQKhxk0IiIiIoVhBo2IiIj0hgvVFg4zaEREREQKU+oyaOVc7fHJoQ+RGJuk3ed//C5Wvr1OZ/n277SVm4ZKBZhbm2P1O+txZfc1ue+FQU3g/XZr2FayQVRINPZ/fwgXt14ywKMhY+XkXAnffT8TTZs1hIuLE1q17Au/i1e1xxd/9yUGD+2rvW1iYgJrayu0adUPF85fyVbfa8MG4O3/G4batWsgPi4ePj4HMWXS14iMjJbHhw1/GT8s+wrx8Qna+8z5eikWLfgFJU2399ui2/vemd6zFtbm+Pmtv3B+V/p7NiO3hs4YNrcPKlR1gEqlQvDNx9g0Zy9unQjQlinnbItXZ3RDPe+a8vbd8/exZPhqlHQOjaui0cS+KOtWATEBYfCbuxkRfoE6yzq2qYuaI71hW9MZ6pRUhJ+7i8sLtyPhUZQ8blvDEfU/6oly9SrDvFxZ7Oo0EykxCaWqnUQFUeoCNI15bRYiIToxz3IHf/xPbhoNutXDgDl9cePgLXnbxcMZfb7oieVjVstAr0Zrd4z8dSiCrgbj8a1QvT4GMl7qtDTs3XMI8+b+gIOH/8l2/MOx0+Wm8cGHr2PM64N1BmeCCN4+mzIPJ0+el9d//f0bLFz8BV4fPV5b5vKlG2j94rOgr6TyWfKf3DS8etTH8Pl9cflA+ns2q/D7kfj57fUIfxCZXr57Pby7/DVMbPINkhNSYG5VBh+tH4Xjf1/AyglbkJyQDLeGLijpythZofmCkbj2/S7c33EOVXo2QYsFI7F/wLc6AxYzGwvc/vMwws76A2o1Gkzog6ZfDcHRN3+Wx9NS0hC01w931x+T9ZS2dpZmnCRQOOziLKBmg5rI7FhKYoq87VClHCIeRMjgTLhz1B+RQZFwrFWpmFtKSvboURh++XkNzpy+mK/yo0YNxMo/swdyGr/+sgaHD59EYmISnjyJxG+/rkWr1s2KsMXGq/WQJji95ZIMtnSJjYjXBmci25aWpoaljQXsKtnIfS8O8kJMeBx2fXdYZt7TUtW4d+EhSjrnDh5IeByFgM2nkZacKi8Tw6Llfl0e+lzEoyPXkRqfhNSEZPivOwKHBm5QmaZ/zMQGhCJwyxlE3w4ple0kKqhSm0Ebu/MdmJiZ4P6FB9g1dy9C74TleR87Z1vU9q6JH1/+Tbvv5uHb6PBeW9RsUwN3jt5BzbY1YWVriXunn3WPED2PFi29ULNWNaxemXOAllVb7xa45Hc9077addzhf+84YuPisMfnED6f8a22C7SkEl2THu1rYm6fX/Ms+82libAoaw5TMxMc33AeYYERcn/tltUQERSF9/58DdWbVEFYwBNs/cYXl311Z+RKCrtazoi6EZRpn7htV9s5X/ev0NQd0XcfQ52aBn0ylnaWZmp1+mbocxq7UhegxT2Jw48DfsXDK8Gy66Lj++0w5s/h+K77j0iMeTYuTZdmr3oh+FoIHl569p9Bcnwyzm/yw4ifB8PEzFS+yTdO2oKY0FgDPBoqDUaNHoRdO31l1i0/XuraTt6na+ch2n1H/juFli/0gr9/IKpWdcWSH2bhp1/mYcigd1CStRrcBA+uhiDQL/MHuC4TGs5FGUszNOlRH2YWz/5rLFvOCnVaV8cv/1uPH19fh0ada+OtnwZhdtcf8fjuE5RUptbmSInO3EWYHJ0AM2uLPO9rV8cFdf/XBWcmr4W+GUs7iQqqxAdonn0bot+s3vK66Ir8rscy3L+Y3j0hxqDt/HoPPPs1QtWmbrh56HaudTV9xQtHfj+eaV+zgV7wfrMVlr3yO0Kuh8CprhNG/DoECVGJuH7gph4fGRmTQUP64rvvv5TXAwMeonmznvm6X9my1nj5lR4YM+rZWLLctG//ohx/NmzIe7h8+YZ2/927zwZM37t3H598PAsnTm+DlZVlpokDxqh5/0YYOif9PR5+PwKzuvyoPdZqoBf2/XIs33WJbtCT//ph2t53EHI7FLdPBSIxLgl3zgTigk96RlJcBvg9RP12NfH47mmUFK7dPNFocj95PT44AqEnb8vxXRmZ2VgiKSL3L5+2NZ3QYvEoXJq/VdZRWttJz4jcpKHzk2kwfiU+QLuw5ZLcnjcXWrO1O2wdbXB+U+YxQ5U9nOWEAZFZE8TlrcN3UKd9TQZopLV+3Ra5FdSrA3shOjoGu30O5is4W7nme4wZNQ4HDuQelKSlpf/3JWYtGrtTm/zkllXdtu6wc7LByX/zN84vI9MypqjkXkEGaPevhKBum+oo6R74XJCbhlvfZnAf0jpbxsl/zZFcg54Xl7yOq0t98GDXhVLdTqLnVeomCVTxdEWlmhWhMlHB3LoMun3aWcZnAWfv5zk54LLPtWwzPwPO3UetdjXhWDt9UoC4FOPURBcqUW4sLMzlJpibl5HXswZMI0cPxOqVG7UBVU68vVtg1doleOuNT7Bv77MZjBpdu7WXS3sIlV2dMe+badiz+zDi4uJRkicHnN95FfFRuc/Wbti5NlzrOcLEVCW7OMUyHQ4udrh14p48fuKfC3LWpign/jziUty+crBkZ12CD1yBpaO9DIBUZqby0rKiLYIPXNZZ3qaGowx6ri/bg/vbzuosY2JuBpMy6XkBE3NTebu0tJOooErdq6581XLoMq6jXLNMjB8LvPAAf4xehcSY9P/E7V3s8KHPu1jc7QdEBqWvi2NlbwmPrvWw4vU12eoT2Tn7yvYY8fMQlK1QFnERcTjz93mc2XDe4I+NjEtYxLMPEM1SGz26DpOzMYV69WqheXNPvDH642z3bd3mBWzc9CucK3nJ25OnfgA7OxusWLkoUznN8XbtX8SPy76GrZ0NwsMjsGuHL774fAFKKutylvDqVh9LR2Zfq8yhsh0+2/8eZnZaiicPo2BT3hqvfNYV9s52cnb2w2sh+GHUGoTeSx9fJi5/+d8GWeb1pa/i8d1wOR5Nc7ykSo6Kx6mPV6LRp33RcEIfxAaG4tT4lXJ8l2DpZI8Of32IA4MXIyEkEjWHtYW5gzU8xvWUm4bmuJVLOXTe/Il2f9ddU+Tlvn7zER8UUeLbWZpxmY3CUanVeffvRUVFwd7eHpGRkbCzs4NSTa2ZPsZH6Wbffra+FZV8Nla1oXQx8cbRHf+u2xdQuh8CZ8AYbGsxtbibUGL0PjkbSlWcn9+ac/+vymRYmFga9NyJaQn46f7Xio9bclPqMmhERERkQMWwzAZKQAat1I1BIyIiIlI6BmhERERECsMuTiIiItIbroNWOMygERERESkMM2hERESkN/wtzsJhBo2IiIhIYRigERERESkMuziJiIhIbzhJoHCYQSMiIiJSGGbQiIiISG/EL0rm41cli/ycxo4ZNCIiIiKFYQaNiIiI9CZNnb4Z+pzGjhk0IiIiIoVhgEZERESkMOziJCIiIr0RvY2G7nFUw/iVqABtXsASGINFliugdOZlbGEMnkSfh9KZmyn/ubS2rA5jkJwSA6X7UTUTxkCtToHS7Wg5pbibQFRsSlSARkRERMrCSQKFwzFoRERERArDAI2IiIhIYdjFSURERHrDLs7CYQaNiIiISGGYQSMiIiI9L7Nh4N/ihPFjBo2IiIhIYZhBIyIiIr3hGLTCYQaNiIiISGEYoBEREREpDLs4iYiISG/U6vTN0Oc0dsygERERESkMM2hERESkN2KJjTSDL7OhhrFjBo2IiIhIYUpFgObs7IiNG//EvXsXkZz8CJ6eDbOVmTTpI9y6dQZhYbdx6tQ+dOnSIV91z5w5RdbZt28P7b5Ro4bg0qWjCA29haCgq1i//g+4ubnm0cZKWP/3T7h15yhiE26jceP6mY4v/n4mQkIvarfH4ZdkOS+vBjrr69q1PU6e3oH7QWcR+PAMtm5fgQYN6miPly1rLeu87X8MD4LPYdnPc2FlZZlrG52cKmLNX4tw5cZuPIk+j4aN6mYrU7myI/74cz7uBh6W29///oD8+OW3r7PV2X9AV/jsXYEHIcdw6MhfKEnEc7n6r4W4fMMH4dFn0bDRs79N5udyLvwDD8rt73+X5ljfa8P74sTZjbh7/yBu3t2HFau/gWsVZ+3xiZP/h0dPTiIg6D/tNuDlrnm+Jjf8/Qtu3zmBuIS7aNzYI9Px776fjUehl7VbaPhVWS6n16R3uxfl8Yz3WbDwC+3xYcNfwaHDmxAUchF3/E/ix2VzYW9vl2sb09vphI3/rsK9gEtITgnV/f6ePA63bp9DWLg/Tp3ajy4v5fP9PWuqrDPj+9vU1BTffjtLni807A4OHNyGpk09c62nZ8+eOHjQF+HhjxES8hAbNvwFV9fM/yf069cXN25cRWxsFA4fPoi6dbO/vwpSvqD1GSuHxlXRdtUH6Hbwc7Rd+T7KNXQrdHmLCrZoNn8EOm2bhJ4nvoJtbRcDPAKiUhygpaWpsXu3L159dZTO4+I/3/Hj30X//sNRoUJNLFq0DH///QccHMrlWm/jxg3Qu3dXPHwYnGm/r+9/aN++NypWrIXq1b1w585d/PLL4jzamIY9uw9h8KD/03n8ww8+g1PFxtpt5hcLcePGHZw/f1ln+YsXr6Bv71Go4tIU1d1aYNdOX6xdv0x7/Ou5U+Du7oZmTbrBo247uLg4Yt43n+XZxn17jmL40PE6j1tbW2LL9l9xye86GtbvhprVO2D2zJyDCo2u3bxRybF8tv1PnkTix6WrsWD+byhpNM/liFyey83bf8YlvxtoVL8HalXvlOtzeejgKfR46XVUr9IeDev2wF3/+/j+hxmZyvjsOoyqLm21278bd+fRRjX27D6IwYPe1nl87AdT4VixgXb78otvcePG7Rxfk0JERFSm+4wf96yN1lZWmDp1DqpXbY5mTV+SX6wWfTcz1zamtzMNu3324dVXRuTy/n4P/fu9hgrl3bFo0Y/4++8V+Xt/9+qW7f393ntvolfvbvBu2x2OlWrBx2e/DBBzIwLNuXPnw82tOtzdayEqKgrr16/THq9Tpw5Wr16JceMmoHz5Sti/3xebN2+UwaAueZUvaH3GqoydFV74dhTubTiGPV1m4t7fx/HCglEws7EsVHm1Wo3Hx2/gzKe5/z2pcJMEDL0Zu1IRoD169BjLlv2BU6fO6Txeo0Y1nD59HpcuXZW3V6/egDJlysj9OTExMcFPPy3A2LGTkZSUlOlYQMB9hIWFy+sqlUp+gNSq5Z5HG8Pwy8+rceb0xXw9ppGjB2Llig05Hg8Ofiw3TRtSU9NQrZorzMzShx327dsV337zk/zAjIyMxvx5P2Loa/1haWmRY52PH4fjt1/X4+yZSzqPvzasH8LCn+Db+b8iJiYOqampOHc25w9rwcbGGrPnTMD4j2ZnO3bwwAls+nc3HgY9Qkkjnsvff92As2d0Pz9Dh/VFeHgEvp3/W4bn8kqO9d0PDEJ4WESm11zNmlWfq42PHoXi559X4fTpC/kqP2r0YPyZy2syL7/8sgqHDx1HYmKiDM5//WU1Wrd+oQje39Vx+vQ5He/v6nm8vxdh7IeTsr2/3d2rwXf/Yfk+F8/ziuVr4OrqggoVsn/J0Fi7dh127NiB2NhYxMXFYdGi79CyZQttwDR8+DD4+h7A9u3b5eOfOXMWHB0d4e3trbO+vMoXtD5j5dTeAwmPoxC4+TTSklPlZWJYNJw7eBSqfFJ4DAL+OYHIK/cN/EiISmmAlpf16zfJb+teXg3lf8yii/L+/SBcunQtx/t8+OH/wc/vCg4fPqbzeJs2LfH48U1ERwfgo4/+D3PmLCqy9rZo2QS1alXHqpX/5FquipuL7L4Mj7yC+d9+hm/mL0NKSoo8pjJRyQ9yDfG4RRenqLewWrdthocPHmHDP0tw595B+B5ag5e6ts31PtM/H4u/1m7DndsBhT5vSdSmbVM8fBCC9f98j9v3fLH/0Gp06dom1/u0bOUlu0IfPj6Gd98fhgXfZM48tmvXHLfu7cfJc/9i6vT3YGFhXmTtbdGy6dPX5N95BuSiy/TmrWP4ffkiVK7slGPZtt4tcckv5/dgfq1f/y+cncT7u9HT9/dQ3L//UBuw6fLhR+/Az+8yDh86mu3YH3+sll2aIsATX3hef2MEjh07qf1Slh/t27fD1atXZeAtNG7cCOfPPwuExfv0ypWrcr8ueZUvaH3GSnRBRt14mGlf1I0g2NZyLpLyVDTSimkzdpzF+TRTsGPHHhw/vkemuGNj4zBw4Bj5zVMX8Q363XdfR4sWXXKs88iRE6hUqbb8Vv3668Nw9eqNImvv6DGDsHOHr8y65UZkVVydm8DGpiyGDX9ZBp0aPrsOYMIn/we/i+kfUp98+o68tLWzKXS7HBzs4N2uOUYOn4Chgz9C1+7eWL5yPtq2GgT/O4HZyrdo6Ym23i+gfdshhT5nSVXOwR7e7V7AqOGf4LXB49C1e1ssXzkP3q2G6HwuhRPHzsPdrT3KVyiHEaP649q1O9pjm//dg5Ur/kVQ0GPUq1cDy36dBZuyVpg88Zsiae+YMYOxc8d++V7KyY3rt/Fii564du0WKlWqgDnzpuHvf35Dm9Z95Psuo65dO2D0mMHo0mlg0by/d+7B8RN7M7y/R+Xx/n4DLZp30nn8zp17uHDBD9dvnJaBT0jIY/TpPTjf7fHy8sLMmV9g4MBnr3sbGxtERKRnQDXEbVtbW5115FW+oPUZKzMrcyTHJGTalxKTADNriyIpT1ScSmQGbejQV/Dkib/czp8/lGf5adM+Ro8eXeDh0QrW1q54+eWRWLPmZ52DjYUff/wWM2bMwZMnmf8D1EV8q/7jjzXYtGkVrK2ttfsHD+mrHfB/6uzOfD82Mbj/5Vd6YsXy9fm+T0xMLH7+aZWcCFCtehW579MJMxEY+BDHT27Df8c2Y/u2fXK/pptMGDioJwKDjsrt6Mncs3VCbGw8Tp64gB3bfOUHl7i8cP4qOnVqla1smTJmWPTdZ/h43GwkJ6dn9UqyVwf10A7OP3oy725AEUScPHERO7YdePpcHsCF89fQsdOLed5X/A1X/bkJ69YvlmPZBBGsPXz4SAYoV6/exswvlqD/K5knCQwe0k87eP/02dzHp2V/TfbCiuW5T+QQgcyVKzdkt6C4/v67k9GocX3Url0jU7n2HVrhtz8WYuiQ/8Ply9ez1TN06Kt4EnFXbucv/Jdn+6Z9NgE9uneBR/2WsLZywcsvj8CaNb/m/P5etgAzpn+d4/t7yZJ5qFrNDW5VGsCmrCvGj5uC3Xv+hYvLsyzMa68NRXR0hNwuXXqWyWrYsCF27tyG998fi71792r3x8TEwN7ePtN5xO3o6GidbcirfEHrMxaVu3miq+8MuXmv/RAp8Ukok2W8mVlZC6TE6Q6+C1qeiob4f6c4NmNXIgO0tWv/gYODu9y8vNrlWV50ffz99xY5mF/8UQ8dOoqLFy+jUyfd9+3cuR2+/XamnKEpNjFD848/luCbb77UWV4EI+XK2cPRsaJ231/rtmgH/Ddv+myGWF5eHdQb0VEx2O1zEAUhujPF+LJq1dIDNDH27J3/TULtmm1Qv0473Ll9D8FBj+TEA40N63fAzaW13Fq3eCXPc4gB7fnl7OKIOnXdsXLNAty66ys3Yev2X/Du+8NR0vy9fqd2cH7rFnlnhS773Xyu85UxM4N9OVtUrKR7XJRaxy8J/7Vus3bw/gtNc5/hmdHAQX3ka9LH50CB2qjrP1ARnK1e8yPGjPoQB3yzdy8Ka9f+DYdy1eXm5Zl7F7rg5dUYf/+T4f198Ej6+7tze53lO3duj28XzEJQ8HW5yff38h/wzbez5HFPr0b4c8U6BAeHyC7KjRu3IjIyCq1aNdfWsWbNWtjalpNbw4ae2uBs714fTJ48FatXr8l0zosX/eDl9WwmqOg69fCoDz8/3eM98ypf0PqMxUOfC9jd8Qu5HR66GNE3g2CXZaalXZ3KiL4dovP+BS1PVJxKZICmi4WFhdwEc/My8rpmDNbx46fxyit9ULVqevDSunULNG/eFBcu6P7PrHp1T7zwQiftJmZ5TZjwGWbN+lYeF2PYxKBhwcnJEQsXfoXr12/h7t3cx1mJMUGacUFlZBvNM40TS697IFat2iizELl5dWBvOclB3N/e3laOQRNZmfPn0h+TyKQ5OlaQ1z09PTBn/lTMmrU4z28dGdtonqWN69ZuRWPP+ujW3VvuE5fi9r592T9oH9wPRmOPHmjXerB2E14fPRF/Lt8or4vxQqJ+EeCKU4jr4pwlRe7P5TY09qwnu4nFPnEpbu/fdyzHZTbEshyC+LvOmf8pbt68i4B76eNtevXpCIfy6RmVWrWrYdqM97B18/7net9ojBo1GKtW/Z3na7Jd+1baDG758uWw+PtZMqN265a/dhmONWuX4c3Xx2Hv3rwz3/lt5/Hjp/DKy7re334666perRFeaNZBu8n398fTMGvmfHn8xPHTGD5iECpWrCDP0a9fT1SpUjnXMW0eHh4yOJs2bTqWL1+R7fiqVavRqVNH9OjRA+bm5pg6dQpCQ0Nx6JDu5yGv8gWtz1iFHLwCS0d7VOnTDCozU3lpUdEWwQcuF7q8ibmZ3OT1Mqbp17O85okModQEaDExgXITjh71kde9vdO73r75Zgn27z+MAwe2Ijz8jlwS47PPZmP//kPaAf+iu1TjwYOgTJv4Fh0W9gQREZHyuOg6OXJkFyIi/HHy5F4kJyejT5+hebYxPPKq3IRD//0rr7f1bqE9Xq9eLTRv4aWze7N1mxdkd6mGmLG5dccKue+C3z6ZOevbaxSiomLk8UaN6uO/o5vlemorVn2HxYt+xR+/PZv2n5Pg0JNyE/YdWCWvt27TTN4WSzuMHjEBn8/8CAEPj2DqZ+9j1PCP5X5Nl6mmq1R8mIsut4ybZnajmLUoDB7aW9a/+Pvpcn00cf3U2c0oKYJCj8tN2Htgpbzeuk1TeVs8Z2NGfIIvZn6Iew8PY+pn72L08E+0z6XoMs3YVdqoUR3s9v0TgcFH4PvfGtltPOjlD7TH+/XvgpNnN8rjYuKBCPSmT12YZxufRF6Xm3Dov83yuhi8n/U1uVxH92brNs1ld6mG+CKwZ+96PA67gtNndsuszisvv6EN7KZM/RB2djb4c9WSTGul5UdM7AO5CUeP7ZHXvdu1lre/mf899vsexoGD2xH+5C5++fV7fDZtFvbve/r+bvui7C7N/f0drn1/f/rpdNwPfICz5w7JddBmzJiIMaPfw40bt3Js34QJ41GpUiUsXPittutTbG5u6Wtw3bhxA8OHj8TixQsQERGGl17qgr59B2gnEbRt21aW18irfF7HS4rkqHicnvAnqg9uja77psvL0x//iZTo9HFmlk72sjtUXOanvND98JdyE9r88a68Xr5J4SdPESAS9sWxGTuVOh8dtWLNHjF+ITIyEnZ2eS8cWVzKlEnPICiduanyB+qal1F+GwWxuK3SlbdND7qULCE5/zMQi1NySvoXDCVLSc17bKoSqNXKH/u5o+UUGAOxqK1SFefnt+bc/Rw+RRkTw07ESE5LxOYn8xQft+SGsziJiIhIb9KK4bc40/hbnERERESlx+zZs9G6dWu5MkO5crp/kSQgIAC9evWSZcQi0Z988ol2HdL8YgaNiIiIKJ/Er4sMHDgQrVq1wm+/Zf8pQjHWUwRnzs7OOHr0KIKCgjBy5Ej5CyZffZX/7nAGaERERKQ3orPR0MuSqfVY9xdffCEvly9frvP47t27ceXKFbnWoZOT09PFqWdi4sSJ+Pzzz+XM6vxgFycRERGVSFFRUZm2nH5BpCgdO3YMjRo1ksGZRrdu3eT5L1/O38x0gQEaERER6X2SgKE3QSxlI2aSaravv/4a+hYcHJwpOBM0t8Wx/GKARkRERCVSYGCgXGpDs02ePFlnuUmTJsmFp3Pbrl27ZtC2cwwaERER6Y0Yf2boRS/UT08o1kDLzzpoH3/8MUaPHp1rmRo1Mv9ucE7E5ICTJ9MXdNcICQnRHssvBmhERERUqlWqVEluRUHM7hRLcTx69EgusSHs2bNHBoriZ9/yiwEaERERUT6JNc7Cw8PlpVhS4/z59F+0qVWrFmxsbNC1a1cZiI0YMQLz5s2T486mTZuG9957T/ubwfnBAI2IiIj0pqT9ksD06dOxYsUK7e0mTZrIS19fX3To0AGmpqbYtm0b3nnnHZlNK1u2LEaNGoUvv0z/jdf8YoBGRERElE9i/bOc1kDTqFatGnbs2IHnwQCNiIiI9CZNXQwZNDV/i5OIiIiIihgDNCIiIiKFYRcnERER6Y366T9Dn9PYlagALSUlHMYgOfkRlM7Jvg2MgUql/JewWp0CpTOG59FYnktjkZJ6AErXvFpQcTeBqNgYx//KREREZJRELiutGM5p7DgGjYiIiEhhmEEjIiIivSlpC9UaCjNoRERERArDAI2IiIhIYdjFSURERHqjVhfDMhtqdnESERERURFjBo2IiIj0hpMECocZNCIiIiKFYYBGREREpDDs4iQiIiK9YRdn4TCDRkRERKQwzKARERGR3qTnzwz7a5xqg//6Z9FjBo2IiIhIYZhBIyIiIr3hGLTCKfEZtJ49e+LgQV+Ehz9GSMhDbNjwF1xdXTOV6devL27cuIrY2CgcPnwQdevWzbXOvMoXtD5j4ehUAX+unYsL1zYjJPIIGjSqnel467ZN5P47D/Zot6/mj8+1TpfKlfDLipm4cW+X3NZtXKA9tubvbzLVdS9kP4KeHEb58vY51se/d9Hhc1maqGCiqgNTk5YwNWkLU5MWUKmcMxw3hYmq/tNjraFSVcujvrzKF7S+7GzffQMV1/yCin/+qN3MatcsfHlTU9i8PhwVfl+CCr9/D5sxwwCTEv8RSQpW4l999vZ2mDt3PtzcqsPdvRaioqKwfv067fE6depg9eqVGDduAsqXr4T9+32xefNGmJqa6qwvr/IFrc+YqNPSsH/fcYx+bVKOZSIjolHD9SXtNuWTZwFXVtbWlti47Xtc8buFJg1eRv0avTBn1s/a46+9OiFTXatXbMWhA6cRHh6ZY538excdPpeliQpAElLTLiA17T+kpl2DiaomVHCQR01UtQFVGaSmHUdq2jmYqFygUjnlWFte5QtaX07iffYjdOQ72i3l5u1Cl7d+uQ/K1KuNJ+On4sn4aShTvw6sB/QucJuIikqJD9DWrl2HHTt2IDY2FnFxcVi06Du0bNlC+5/+8OHD4Ot7ANu3b0diYiJmzpwFR0dHeHt766wvr/IFrc+YPH78BMt//Rfnzl4tkvoGv9YT4WGRWPjNCsTGxCE1NRXnz17TWdbCwhwvD+qKNSu35Von/95Fh89laZKGNPVdAAlPb0dBjQioVCJbbQKVyhFpaf4AUkSYgzT1AxlU6ZZX+YLWZxiWHb0R+89WpEVEyi1241ZYduJrryi7OA29GbsSH6Bl1b59O1y9elUGA0Ljxo1w/vwF7fGUlBRcuXJV7tclr/IFra+kKWtjJbtAz135Fz/8MgPOLhVzLNuqrRcePnwkuzKv3d2J3Qd/Q+eXWuks27N3O6SlpWHH1oMFag//3kWHz2VpYgIV7KBWx4rcElQq8VER8+ywWlwvm8N98ypf0PpyZtm+teyOdPh2Fqx6dwNUqkKVV5W1hmnF8ki5G6Atm3o3EKaVKkJlZVXgdhEVhVI1ScDLywszZ36BgQOHaPfZ2NggIiIiUzlx29bWVmcdeZUvaH0lyc0b99C57WjcuH4PFSqWw5dffYCVf81D1/ZvQK3O/m3GwcEObbyb4o0RUzFyyES81K01fv1zFjq2GYm7dx5kKjtsVB/8vc4HycniG3f+8O9ddPhcli4mqrpQIw5qPBad3VCrRVD+7D2slpmvnD4+TPMon9fx/InfuRcxK9dDHRMDs1rusBv3LqBWI3777gKXV1laprcjLk5bPi02/brKyhLq+PgCtY0yS3v6z9DnNHYlLoP22mtDER0dIbdLl559G2/YsCF27tyG998fi71792r3x8TEwN4+86BzcTs6Olpn/XmVL2h9SvbKwK7aAfoHj6/Ks/zjR+G4dtVfZrrE9Y8/nIcGDWuhZi03neVjY+Jx6sQl7Nx+GCkpqfLy4vnr6NCpRaZyVau5yEBuzcqt2erg37vo8LkkzfgwlcoKaWmXnu5JffpR8Sw7pZLBVE5flvIqX9D6dEvxvwe1eG2o1Ui5eQdxm7bDolWLQpVXJ6R37aqsn2XLNNfV8ZpuXyLDKnEB2po1a2FrW05uDRt6aj9g9u71weTJU7F69ZpM5S9e9IOXV3o5wczMDB4e9eHnp/nPCQUqX9D6lOyfDbu1A/Tbvzi84BXoyJpldPnSrXxV89qI3jh35qoM/rLi37vo8Lmk9ODMDqlpF58GUoLIJKkzd0GqbMRXrBxqyat8Qesrmv9vciuvjo1Damg4zKpX1e4T11NDw5g9o2JT4gK0rDw8POQHzLRp07F8+Ypsx1etWo1OnTqiR48eMDc3x9SpUxAaGopDhw7prC+v8gWtz9iIwfpiE8zLmMnrqqfjOESWS2S7NN2XcxdMwPWr/rhz+77Outav24XGnnVk16aoQ1yK2777TmrLmJiYyMkEurJnuvDvXXT4XJbG4MxezuTMnM1Kg1r9CCYm7rJ7ErCCicoVaeqgHGrKq3xB69PNolVz2f0omNWoDut+vZB44nShyyccOAzrAX2gsreTm5jBmbCPr72ioFapoValGXhTw9iV+ABtwoTxqFSpEhYu/FbbfSM2N7f0brcbN25g+PCRWLx4ASIiwvDSS13Qt+8A7UDotm3byvIaeZXP67ixC3jkKzdhl++v8nqrNl7ydsPGtbFpx1L4P9yLg8dXwszMFMMHfyq7PIWWrTxld6nGPf8HeGPkNHz25bu4fX83Jk17G6+PmCr3a3Ts3BL29jb49599+Wof/95Fh89laWIBExOxxp01TE1awdTEW25ibTQhTX0TUKc8PdZEBlNqdYj23iYmjaBSPcs+5VU+r+P5YdmtM8r/8K1cz8x27NuI370f8dt8tMdt3hopt/yWj/tnK1Ju3kL5hV/JLeX6TcT9m/uscSJ9Uql1jd7OQqx/JMaCREZGws7ODkqlUhnHnAe1umBjLYqDk30bGINHUSegdMbw9+Z7p/RJST0ApXsyNHvmVokqrf8DSlWcn9+aczezfwumqvSeF0NJVSfhTOQvio9bSnUGjYiIiMjYMEAjIiIiUhjj6NcgIiIioyTWJFNxHbQCYwaNiIiISGGYQSMiIiK90fw6pqHPaeyYQSMiIiJSGGbQiIiISG/SVGlQqTgGraCYQSMiIiJSGAZoRERERArDLk4iIiLSGy6zUTjMoBEREREpDDNoREREpDfMoBUOM2hERERECsMAjYiIiEhh2MVJREREesNfEigcZtCIiIiIFKZEZdDU6pTibkKJERJ5pLibQAbE907pY2baAUpXab3y20h5S0MqVEg1+DmNHTNoRERERApTojJoREREpCxq+c/QY9DUMHbMoBEREREpDAM0IiIiIoVhFycRERHpTZoqDSoVf0mgoJhBIyIiIlIYZtCIiIhIz8tsGDYflMZlNoiIiIioqDFAIyIiIlIYdnESERGRHhn+tzjBSQJEREREVNSYQSMiIiK9SVOLAfsmxXBO48YMGhEREZHCMINGREREeiPGnxn+tzjTYOyYQSMiIiJSGAZoRERERArDLk4iIiLSGzVSoTZwPkjNXxIgIiIioqLGDBoRERHpTZocsG/YQfvp5zRuzKARERER5dPs2bPRunVrWFtbo1y5cjrLqFSqbNu6detQEMygEREREeVTUlISBg4ciFatWuG3337Lsdwff/yB7t27a2/nFMzlhAEaERER6Y1a/jP0OmhqvdX9xRdfyMvly5fnWk4EZM7OzoU+D7s4iYiIqESKiorKtCUmJhrs3O+99x4qVqyIFi1a4Pfff4daXbCgkRk0IiIi0hu1WiyzoTL4OQU3NzdkNGPGDHz++efQty+//BKdOnWS49R2796Nd999FzExMRg7dmy+62CARkRERCVSYGAg7OzstLctLCx0lps0aRLmzp2ba11Xr15FvXr18nXezz77THu9SZMmiI2Nxfz58xmgERERkTIU5zIbdnZ2mQK0nHz88ccYPXp0rmVq1KhR6Pa0bNkSM2fOlF2sOQWJWTFAIyIiolKtUqVKctOX8+fPw8HBId/BmcAAjYiIiCifAgICEB4eLi9TU1Nl8CXUqlULNjY22Lp1K0JCQvDiiy/C0tISe/bswVdffYUJEyagIBigERERkZ5/i1NVYn6Lc/r06VixYkWmMWaCr68vOnTogDJlymDp0qUYN26cnLkpArcFCxbgrbfeKtB5VOp8zPsUU1Pt7e0RGRmZr75cIiIiKn7F+fmtObeTfRuYqAybD0pTpyAk8ohRxy3MoBEREZHeqNVphl+oVs3f4iQiIiKiIsYAjYiIiEhh2MVJREREJXIdNGPGDBoRERGRwjCDRkRERCXytziNGTNoRERERArDDBoRERHpjVr+M/AyG8hziVfFYwaNiIiIyBgzaJofGxCrAhMREZFx0Hxu5+NHg8gYA7To6Gh56ebmpu/2EBERURETn+PiZ5eK75cEDD1JIA2lIkCrXLkyAgMDYWtrC5XKsE8yERERFY7InIngTHyOUwkM0ExMTFClShX9t4aIiIiKVHFlzp4Ry2wY/pzGjpMEiIiIiBSGARoRERGRwnAdNCIiItLzgH1OEigoZtCIiIiIFIYZNCIiItIbZtAKhxk0IiIiIoVhBo2IiIj0Jg1pUBk6gwZm0IiIiIioiDFAIyIiIlIYdnESERGR3nCSQOEwg0ZERESkMMygERERkd6o1aml4pxFjRk0IiIiIoVhgEZERESkMOziJCIiIr1RQy1XQzP8OY0bM2hERERECsMMGhEREZWoJS/UXGaDiIiIiIoaAzQiIiIihWEXJxEREekNuzgLhxk0IiIiIoVhBo2IiIj0Rm3gJTaK65xFjRk0IiIiIoVhBo2IiIj0hmPQCocZNCIiIiKFYYBGREREpDDs4iQiIiK9YRdn4TCDRkRERKQwzKARERGRHhVHNisNxo4ZNCIiIiKFYYBGREREpDDs4iQiIiK94SSBwmEGjYiIiEhhmEEjIiIiveFvcRYOM2hERERECsMMGhEREemNWq02+LIXanlO48YMGhEREZHCMEAjIiIiUhh2cRIREZEepQJQGficahg7ZtCIiIiIFIYZNCIiItLzorGGzaCpOUmAiIiIiIoaAzQiIiIihWEXJxEREemR4bs4wUkCRERERFTUmEEjIiIi/SmGSQLgJAEiIiIiKmrMoBEREZHeqIthPJiaY9CIiIiIqKgxQCMiIiJSGHZxEhERkR5xmY3CYAaNiIiISGGYQSMiIiI9UhdDQksNY8cMGhEREZHCMEAjIiIiUhh2cRIREVGJWwnN2DFAIyIiIj0z/oDJ0BigERERUZEzNzeHs7MzgoODi+X8zs7Osg3GSqVWl4BfFCUiIiLFSUhIQFJSUrGc29zcHJaWljBWDNCIiIiIFIazOImIiIgUhgEaERERkcIwQCMiIiJSGAZoRERERArDAI2IiIhIYRigERERESkMAzQiIiIiKMv/Ay6i585+t6P3AAAAAElFTkSuQmCC", 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", "text/plain": [ "
" ] @@ -737,7 +747,8 @@ } ], "source": [ - "plot_policy(policy=random_policy, title=\"Policy\")\n" + "plot_values(V_random, title=\"Value function: random policy\")\n", + "plot_policy(policy=random_policy, title=\"Random Policy\")\n" ] }, {