From e24f6cdf0f2d9419669314840162787038b85b9a Mon Sep 17 00:00:00 2001 From: 160991b00f4807aba0f6f8d6eb2119bc <160991b00f4807aba0f6f8d6eb2119bc@app-learninglab.inria.fr> Date: Tue, 9 Aug 2022 08:09:18 +0000 Subject: [PATCH] solution --- module2/exo1/toy_notebook_fr.ipynb | 145 +- module3/exo1/analyse-syndrome-grippal.ipynb | 3225 ++++++++++++++++++- module3/exo1/data_csv.csv | 1971 ++++++++++++ module3/exo1/data_csvd.csv | 1971 ++++++++++++ 4 files changed, 7283 insertions(+), 29 deletions(-) create mode 100644 module3/exo1/data_csv.csv create mode 100644 module3/exo1/data_csvd.csv diff --git a/module2/exo1/toy_notebook_fr.ipynb b/module2/exo1/toy_notebook_fr.ipynb index 0bbbe37..c4a472f 100644 --- a/module2/exo1/toy_notebook_fr.ipynb +++ b/module2/exo1/toy_notebook_fr.ipynb @@ -1,5 +1,145 @@ { - "cells": [], + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# A propos du calcul de pi\n", + "## En demandant à la lib maths\n", + "Mon ordinateur m'indique que pi vaut *approximativement*" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.141592653589793\n" + ] + } + ], + "source": [ + "from math import *\n", + "print(pi)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## En utilisant la méthode des aiguilles de Buffon\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Mais calculé avec la **méthode** des [aiguilles de Buffon](https://fr.wikipedia.org/wiki/Aiguille_de_Buffon), on obtiendrait comme **approximation** :" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.128911138923655" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "np.random.seed(seed=42)\n", + "N = 10000\n", + "x = np.random.uniform(size=N, low=0, high=1)\n", + "theta = np.random.uniform(size=N, low=0, high=pi/2)\n", + "2/(sum((x+np.sin(theta))>1)/N)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Avec un argument \"fréquentiel\" de surface\n", + "Sinon, une méthode plus simple à comprendre et ne faisant pas intervenir d’appel à la fonction\n", + "sinus se base sur le fait que si $X ~ U(0, 1)$ et Y ∼ U(0, 1) alors $P[X² + Y² \\le 1] = \\pi/4$ (voir\n", + "méthode de Monte Carlo sur Wikipedia). Le code suivant illustre ce fait :" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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tYJqU3nLDy5cVx7I6qrq7KdGDwcwwZUMDf0sG4+QkuWxhoTIrAgGVheeG6M3NKplJCKWhwT7Zxw1c1aks4MWs0K8vIcbjx3l9Ozu+uXk7Q5mcVI7BB1zWuy9CffkAPRW8qQn4gz+gLwYgDp44QdwS/8zWFpl3VRW1hIICvm8YxO+REdKeW14LkBnp0yM6ppkZVWpoUM5fa7RwG0QiwGc+owh9bQ2pSAMmSjsQmyzF3bENJAo0CaXXHnR1kXhv3iRn29xkVl17u7qhnrS0tKSkr5RLbm2p7EV5oHPn+HtwkJ9Ppfj91lYyj/FxcjinIg3rpokT8exZ/vb5cg+D7SZ33y18u9Pr2yGDJDHtpkBph/CRkfxWCdzcDHzqUyS2hga+/8lPEm+PHaPw8vmIw+vrxHfRiMfH+XmJeLlpk06m6eXL2+tS6uspKD05fyMReid/8xsk78YxsRhE0SYQXJ9DsrIZ1+ejeEL8SFb1t7ubRDo6SuKySl9d6pWXk3OaJtVUyV4ULqXb2pWVvG5BAaV7JMLvmyYleCxG+yqbGp7PtNvdOAWzmRVO129s5OtW7cbuuZqaVDaawAMqu953xJ/P2hJJwrPr4XH8uIpaHTlCwSha7tISzQK9SMvtvOxwyMkcyKmW477X/F58AiWJuyhKryNd14SV576GokhE0ZRdTLy7mwvOFicNBOhIjEZJ0JI88+Uv87OxGDmZHMbZs5Toov6nUsqsmJmhAxFQzSsWF8lZneoBdgP5YiK5XL+xkQzQyclo91y7RoSdgcG6nAcP3d3dZq6DOnXi1BmtnXq800Y6Tt/T79vXR5zt7lYMYWVFaYb5fpZsF3r7+zFEChawWRHGWnMUm6HIbzN+n38eStXWESyXBXvZFHmAzk6F/BIulLi/aVK1EsYgdftbWzQPPoz2YtmeM9f1yF6n0ypNWeL9zz1nf8+8IIICwzCumKbZnfVz+4n4rTicSBDP1tYytVev+5nLWTt1adrNeeWrfVxW2t4DBHO9qYSvrA+m5xgUFHAj9XBhLtwzXyCHMD7On2g00+Oa6x5duMBnuXZNOUpTKfpVvvUt5zqFPLZ380r8+0rt17VXScAqKSEe6ZEkLxGenYaABeS8vGiTTmcracjynvh+8m7a7kb9dVq8nSd9Y4OJPvLZM2fsVXndLyB+BFFVHiToSDA1ReIfHOTeHD2qHG9uDMm6P4bB/6WxB8DXamqcr5UPE2cHsK+IX7eTBwYYJZGqPj0WPzmZPT9jt+3bvJ6XG5MBMt/Ti76am70zAk+0vRMEc1u812YaVm4aiSi/wIO0c+2YmLVMORIhwU5MEJmOH1dRC6drWvdnfp7ZgYcPk6GtrvIax4/veWeeXGFfEb9IuMVF+piWl2lOhsM8r8ZGEntjI02t/n6Vh2LFrZ2EgHeinVnxS0xAn4/rEgYkuTRS9OWluc+egxuH9NJMQz5rZTp7kZrrBk5MbHmZYcRr15TULiri69IH7vHHna9rtz/Smam/n9dqa1NmTXm5+xofcBvzfUX8Irx+8ANKybU1EnpxMWPx9+4xrb2lRdVkSCsvK27l6m332hpcumyZJn9u3OB6JFcmFKIg6O1lircU0cn74guTuhCfj34iN9zIZW2e8SoeZz88Uc+lVZhwSDmMK1eo6g8MeO8U7KSqACpEJpu4uKiSilpasi/eTcJbmZiojktLvPbQkNJITJPRCbfcArsqwKEhlfBTUMADldBSV5e781S6/169ShXwxRdpFu0R7CviB3juW1sknKkp2vxSEr64yN+hEM/yyhXuYXs7w3V6U5hEgvstGZiFhfbCR87q7bfJZOwEm94a3O9X5cOnT/M7r73Gz4gJODNDQfnOO7ze008T/3w+MgspzBMm0dHhHj3yIqBz6k+h16enUkwIevttbk5ra2amXTpN6Sg1/W7qlvUgrU4U6yYmk1yDtPQqLeXnnBafTcLrUFamQpd+Pwm1slJFIVKp7T4LK1glyPg4r9PaSmYpffinp1Vo1G59UqA1PMx7BwKslfhP/wn46le9zTDYAew74hcwTZ7n3Bz3UKSq5JOMjXEP6+v5s7jIcxgdVbMinn6aBPLWW8Qnu2iAnFVBAX/6+8lYEgkKjnv3SAuRCAl5YoI4BPDvzk6aKFNTPO+xMc6nED9XIsE29Z2dxBFJZ796VfWiuHiRzMvJP+FmwuzItyFfamgAfvpTSl3pgTY3x350+ucCARLCBx/wAaQSMFsttLW4obaW1+rv5/3m55lJJX3a5uZ46E6LzybhrWqeOFb8fs4JmJ5mTYRk3yUS7hV3VvNlZoZSRLQk3ZEZiShksq7v3Xf52dJSMoGhIRUSHRri7z2w//Zleu/Ro9yjdJoJUi0tVP+rqniOUo05PU0mXFhIIn39dQqUiQmFr2fOsIZFEtJ00HGpooLX3NoC3niDeHn3rjItUinirGgjJSWqhPvxx4lrohUeOaImOJ06RTwfHVV9Of1+pYmsrfE7bu3l3bJMd9SaXr60sEAVq7ycnnzDYA7y7Gzm54TbtrSo1l6xGDmaWwjEqd25pBRLQQWgNtRt8U4PKxLerrehVBiePs17ADyQI0d4IG5zFawpwFLOq/cR1LUfp/UB3NOSEoVAhsF1uLUv3yXsS+Lv7iYOJpPc8+VlEmUwSEFx6xb/rqvjuQwNcS8Ng87XWCxzjoWOT3r/yrffVrgnwmdqSqXDS/eoykoymtJS4pTeMgyg47etjUVB0qdydZUaSXk58NhjZGLd3XxvY4O+omPHMjt16aDjlFP9QDS6w/R2+ZI0P+zoADo7sXT4BK7O1uPyaxxwkigIZw6dqK7mg3ziEyQmYRJ2YG2ZVVND1Ur63K+uKi4IqA11W7zTwzY3Z8/Tn5jgAXV3k/Crq3m969ft7yWIcvky/z9zhqq9WwNVp/UdO8bvLSyo766t8fPB4J718N+XxB+JcJ+/9CUSeCpFbeCLX6Qkrari2dXXUyAVFys7vaxMVV8KCD5ZhZE+8EaahCaTxMmNDSUUW1pU+ntZGbWC+XnSgWTDvviiak6ztkb8EudvIqGa1cq5b22pStYjR7YT99QUTZkLF0hHtbWqke2tW0roujEGR5Av+f3c3FQK02Mp/Ox6M/ovJTG1GsbMDHB5PorFyRWqu+If8Dp0wioF9YKhpiZuoHDK+XlufFWV++LdHlaktHTp3Y0K7TRFBsjsKKwfhNv6Tp8mgqTT6tAbG8kMm5v3LAy6b23+SIRe8FBoe8hYHLzRKPFGiKypSYVtpShNjzJZTcbOTqbyDg5SIPj9lODRKAXI+jo/5/fz+zIB6NgxlYQE8P/KSgrQ6mpGKzY2+PlEgmt8+mmaE3V1xC2ZyfH442Rs3d3KOS4NZoqLST9TU6ocWEqOr1yhib61xfVJuNlTfo8Qit8P9PZiqbQaF2ePwyjyo6ZwBXerurAwDLS3RzBY1IPulUmqPjU1/BFHl4Qa7EIOhrHdDk+nafsXFnKzgsFMb7+1Pt5p3XoUIRBQyR8NDaw+tPOgHz3KhiWGoaoYFxYoTazg5FuQKTLSUTiZJPJUVjoX9shhRCLAH/4hryGNWMUfsUdh0H2V3msHFy6Q+UpDGoCEMTJCpvnaa6q7Un29YqTT09sbc9hda2GBRPzoo8pOHxxUfpmCAhKY9Prr6SExy4yN6mr+yHuRCL938WImPs7Okl76+9XIN2lc88ILwO//vsJ5a2Ztfz+fsaKCOCLdiSsqyDR2lc0bj6P/5RgG3lpA4FAYyw1RrJdHkEqRRhsagOfPxFWoym5T9Hx/ievLxJr6ej6sHiIRh8duJfTQEDltZaXyrs7P02FpZQDxOJElHleDVKV02roGJ6T7zW/IrXdaQ6GvZRcx/9/J9F47KCggouvTef1+ZebpoS6naj6BXHtCrq5uF0qAmrEhHbeHhxluFCd1R8d23Lt1i3Rw/TrP3OfjfQoKlN9Jmv5avfviWFxc5P+5lBxnxbNIBHcae7DyMWBhQ4UrS0ro9zh6FEqivfwyCUcfIbayYh+uaGggBysupre7ooJMQneW7ba91cWL3EQJv8jvixe3H4AQuheic0oSAewdetK2qa9P9Yk7dsw5hPeA0n33NfFLD8jFRZ7H2hr3t7VVEUouae1eE8/kmnbnIwJQZmwIsczOKt+VHQg+TU9zHeIb8Pv53qVLqgHOnTt89vV11X14eVm1APNacuy1vsHaPbykRDGo35rfkQhVqZMnMyViWVlmiy/9dWnIKdzM+j2919nYGB9MEo68SMPJSdWEQSAUynT46OCV6LJNkbFWnsXjdAym0+zpD5DhxeNUzdxGne0h7Gvij8VUL0mpnqyoUCaWgNczzUf5tz5jw1ZK3gerxBVzYn2dhLu2xmuIs290VPmX5ueBf/kXahOGwWefnGQ+iIQKFxaIVwJ2PiOvOQAyS1K6h9+7p5yYujlv3ggjWJxEU2dACXC9xZddOqXe/VbXGPReZ5ubjKsWFKgwoFuyj4AM/RSJDyjvqldwUo3cMhSBTFOmooIpqOm0CvEYhhrjJX3cCgt50Hamxh7AviZ+XWAIsu22OCyXgh07nHCTktXVxA2pHm1oIIFLQs8zz5DY33+f3nsxmYeGMud5rq0pM6KuTiWUSfPR9nYyCBkI5KTBZKtv0J9RUo1lvKBd+XSwK4qtK70Y6AOOni5DqDCpWnxJ7r94KGMxLvbNN1ULI+vQUZ+PF759m9+TzLtsyT4Cjz0G/Nf/yuvU1vL76+vA5z+f/YBlA9xUI7t7C1PQTZnr18m4ysvJOcvLiRjvvMP1SHLT6iqdVX199rX/eYZ9TfxOppdMrnLKg99JQw+nzD8rTjhJyWeeUT4vKdx5/XU6EuvqeK833qA0ra9XfifDIA7pTuelJTX4V6S7afJe4uvwUnLsVt9g94x2Pjhde9hCBJvdPSgajOFu/xxCZ7Ubi6Pk9m1KvGiUGyQdflpbKZX1dFjpdSZODUA1EvVShTU9zV5t165RuygvB/7dv/OeL7+b7r+6ZJIBpAA3ESChS5sovUW5TJZ5WIjfMIzPAfgLAD4A/800zT+3vB8C8P8BaLl/zf/TNM3/ka9FOhGjbnpJ05ixMeLFqVOqJ4O1hNatfsKLHZwNJ6wzNiT0KPM1Ll0iwxc8lnySe/e4rtOn6ZOS2ZfiABcIBonPdXXqtdVVXkdC6140GDcfh9MzWpvvjo8ziUlgMxSB2d2DsTngqH5/fUF1dbzgyAgvsrqaOUFVsuWEO+ltxr0k++iHVFurHBOTk1SrpBQ0W3un3XT/1Tlrc7Oa21dZydclz0HGeX0IkJX4DcPwAfg2gM8CmABw2TCM86Zp6qlP3wJw3TTN3zMMowbATcMwfmCa5vpuF+hF85LQaE0N/SkyFl2fXCXZkdb6iViM9RP/6l+pWHo2Zp8NJ+wIb3ycwkfOWxqRrK3x/fl54vT162Raeqh4akqFBcvK6BOYnFSzO8NhapXSiNQruPk4nHp19PZSi5GzGB/nc3iaNwCQO6+sUP2RoQgyPtn6ZeFOVVW0fSQBpqHBPfZtV5EI8Bp6//VXX1XhRjvkMgz7UJJb6addu6eKCraH3tzkmmR+XEeHmkSUTnNvpqcpuYaG9twR6EXyPwnglmmawwBgGMYPAXwJgE78JoCgYRgGgHIAcQA5joi1h2zEGImQwGVYzFtvKWEyPp5ZhQqomZA6E5C/NzeJU7okA7Yzezt1eWqK53bhgv1ZLS6qITT19fTzJBL8TjhMnAoEKJhqajKft76ez1NcTGE5NcVsxuvX+f1EQtXR2CW/uZkxThqCXQg1FqN2ofcm2NrimisqPJTmx+NU+YWA0mmWMR4+zIeUjDf5ss6dUinl0XVL9tErEgsKqGL196vKLOm/HgiQOAGl9lnLIe1CSYcP0yHndF9dSt1vq45Uivf9kz/Zbj+m02qsd1kZ11JTw/wEfYjDHjR38EL8jQD02MgEACu6/CWA8wDuAggC+APTNLfysUAvmpf+GdEQRaUGMoXJ1avUOoeHiR9AZv2EUwGYzuz1piKzs9Tm7txh628nUyEYVENoAgGaAxcuqCw9ielXVvKauiTVo2KA8g+1t6tkumSSZqLVt2HXmi4bHjmFUOfngSefVFWvUnY8O+sxg/CUEBQyAAAgAElEQVQ+Ua1cHcbk5CqSG1Wo8B1G7cgUyo4c4WZYv+wWV7UDsa+EQ4XD3LBYjOqUHvrb2CCz6e/n4QSDKg00FlODQqyhJGC7U8lOStXXuyf4SFHRyy+rCT9SClxZqew+T6WYuYMX4jdsXrOmBT4P4D0AnwLQAeBVwzB+ZZrmYsaFDOMbAL4BAC0tLZ4W6KXphtW86u8nMhoGfUbSPLa9XdVPLC9TfV5fJyJPT1OCLS3RL1Rf7yzJpHxXsvjSaV57ZoaMRTc15KxaWngfGULT1MSU3sJCnrlI17Gx7fUw1sIw65AY3UwGMoWQNAWxM4PsehLq1bXd3Zl4LyFLa3u61lZeNyteLiwgUVqPGyhDhTmOEBJIVtTjhnEEhz/1Va5fFr9TdVe3r06e5P83b3Kh1oq7hQUeelOT0kTu3aPabQ0lSeXi668Twazc1IvK6ARLS0oSyf961lYu18oBvBD/BAA9U6IJlPA6/BGAPzeZK3zLMIzbAB4FcEn/kGma3wHwHYDpvV4WaHVKSZRIGHg0mvmZigoSosyVbGlRQ2MHB2mvvvEGpZnPp5xWjz7K/S8szGy95iTJxDEnpkYo5GxqyDrjcUaohKnE43xdl/LV1ZSwTiPlvTBDXQgtL7ubQcB2jfXqVeLfiRPqvpIyPTCgSt5zbk8XDmPi3SQKq0NAcwhJAAWpFWCzmMwo6sHbmi0Uo9tXABNv5ue5YJ+Pqt3sLAlZbMRAQMVnxdaXXINAIHNcd0EBuenVq6o5hN+fGbJzOhgrDA1RggwPU+JsbvJePh9/67MJ96C4x0tV32UAUcMw2gzDKALwNVDF12EMwKcBwDCMOgCPABjOxwJFyt66BfzTPzH9ur6eTFYvptIrNmtq+P/nPsdKSznfQIDM/Q//EPi93+N+Ly6qGPrqKu/V0MCzdysA04vSdFND8vGtZ6WXft++zecJh4nHk5OqyEuvALSrPs1WpSe+rvffV4VF2dbmVl0roFfGSkFSURGZQ2GhR7yMRpGaWUGZycUXpFZgpFZgRKNkHtaFyN/irXWqptPHfYl9de0aN0GcEw0NPNxYjMQvU1EjEdU3IBAg95UhIrK5+rju8nIS+9QUbXVp1zU5ydecSi+t64zHVR74sWP8/O3bZACrq2RYVVU5lGLmDlklv2maacMw/hTABTDU913TNK8ZhvHN++//FYD/HcBfG4ZxFTQT/oNpmi7F3N4hHqfEPnJEJXg5qde62nnhguozIapreTnPt6dH9W/4/vd53aKi7F2knabq6qZGMLjdbyUg4cl4nOvXNZnVVV5HtAynULSbhz4epwP77l1eLxAgMykr47M7rc3qV2lupmCzq3wEiJ96rYTnorP7i08Ox1CemMNmMIy1ji4s+SMIl9ssBMhUU7J5f+NxEuH163xwses2N7kBw8OZ6prU3st9VlZoIkgZbmcnY65vvMFNOX2aCHXjRmaDE7F9KisV17aWXtr1XtPzwI8doyYxMUF19aWXyKT2YtLQffAU5zdN8ycAfmJ57a+0v+8C2JOsBL37rWhekm129qyzKRQOk7DEox8KkWCnpvi+9IL02kVaNDQ5r9LSzKm6knFXXm7vt7I+j9xPIkG5FH45eeivXCH+NDQQhzY2lG9DHJp2a7OaEm7j+IDsvTfdTPX27gh6N3uwbMc8Yllsmmzzznt7+dCRCAnvzh3WGxiGilM+9RS/FwxyU2ZmKB1OnFBdV+fneeAidZJJSuULF2i3SU+2QED1MDh+XLXbAoBXXuF1ZmaUQ0ef837jhiodLi0l4hw7Rp/D2bP21V95hoc+w09SS69dIxJL7Udfn7I79bJxgWiUCTx+v5r2PDJCc0HaY/X2qmpTwFmS6Rqa5O0vLvIe09PKaff009mZ827yRrLB9eukk7Iy5ZxbX+f6nYbFAN7mGOpgZT65DEBx01zmq6O4d74XiU2grLoMLdVJhHxZHB4SY5XR4+k0QynvvEOVbmGByR9DQyTC997jjPbmZhUOCod56AUFVAkrK1UlYjpNtVG45/y88hrX1CiVUaqyLlwgkr7+OpFNnEG9vUTYoiLV0mlqir+rqx2qpfYWHnriD4eZJl1aqrorp1I8q+Fhalu1tduRLRLh+S4vqz6Mjz6q8kkEfyQS4JYKa9XQxJckrcOtU3XdfFK5tgy3gtdS7/Jy/jQ0cL/cmNJuC5pyzYK101zicaB3MIJQtAeVszGkZ+dwbT6Moy92oVJ3eFi9v6J+CfHeu0eCqqzkYd+6RRu+pkYh0yOPKHXt2jVKXLHfxO6TSsRr13jwlZWK0Rw9SoJ+6im1jl//mvdYWaHaNTdHxJSahKUlIoxUPXZ2UoL4fKrJpF4t9QDgoSf+aJR2rDhSZfqxxMVPnFBl41Zka25WKr3ukZdSV2sLeicYGyPDkM68kp1qrdQDskvB3cyryHZtu2Y0d++qRiVuzGI3JeT50GaEgRQHIkg2cCHpFWBwFugR7dfKpaanSfgNDaq1kgxJkIyokhLVrtnnY7GPrq599av8rJUbSyWihN0Mg8jX1kYV//ZtZd/fvk0Cl3jorVtEzps3ed2SEqVuSpgqFKIPob9/e7XUA4KHnvjlvKWxa2Wl6nhbXOw8jgvIJDTrmHnAm8SVpDQx75aXiQ/V1WompQ5eMhJ3KmWzXVvi8oODFCoyz6C7O4ee/R7ByfkpkGtkyjMD0bmUdNQBlNe1rIxEXVjIsMfJk6pKMJUi8qTTSl0Tjio3FG4slYjSx1CGioqK39Ki1nHjBh9eVMLKSt4/maSan0iQAejz4wD7TjEPEB564gfIIMXkkmw3L/XqOqGVl28fM+82pEPUarHth4eZC7KwQMExNQX82Z9tJyIvSOxkM2dT5bNde35eZSiWlSnfV1lZ9o4+uYCsVwqkJiaoWX3608o/Jnvr1UzZkTmkf0k6rA4OkgjPnqVNODtL5NnaojR+991MJ5Fbbb7fz8+NjlJNP3XKW089acmUTivHlMw+cErgOBjXZQ/6+YyMULubn+c569N2xCSw67vgpczVTq3+xS94XfEzBAJMcTVN4pXE6/V6/lyQOBdnWbYS3PPnSQOtrcS3d94ho5PkHiA/zkXxgUgkpa2NAu7ttylgW1oyIwCBAGnm3XfpBBctxeqgzdkcsn7J7+fDy+ZVV3NTlpaIFFLTb3USWbmxHto5dEh5+ONx9XD64q32ls+negfMzqpGjisrlBx37vB7x47xd64jo/ME+6Z1t9jLgQAZsNRWvPmmSs4ZHHTO/xgaYpTltde499XV2/dVV6ulr0R/P+8hxWGlpVT3Fxbs75Vrq+xseS06uF1bCFIa48o6332Xa3v7bf68/rpqA7ZTWFhQBVKlpcoclgEqeihbwrTXrpEmpK7CmvOiJ0E5tdYHkDlYQQaD2H1JEkSiUapAq6skvMOHVb683SbroZ26On5XZvbpD6dDdzevu7nJzb11i8wiGqVP4sQJdc/xcZVQ8v77wPe+x2lBXpEgj7BviB/IJJRwmNl7585xH2dnnfdPmriurJCAV1b4/9BQ5vX1ATT9/VRnjxyhnX/jBpFYGoUII7LeyzMSW+6pg1PLe7dr6+3DAOWbuHWLTr9f/pIO6eFh4t/3vrf9+b1COKwGzAhY+wnozyYzPeTHaQiNPJ9jZqVdhp8QuPVLgiwyEKG2lqq/DGJw2mQ7Llpaqspr7SASoTRqbyezaGujNhAMEpEkpDg7S6ki7Znr6shkXnlFTYcR2KNBHTrsC7VfIJvN6/TetWvemrhKYtClSzwjSRU+epTm4tAQNT4p/HFaRy6e81zNBKdrW9uHDQ9TYNXWqjTme/fIKNvbuZfnzzPV2YtmaZ1CLG3tpW4gldreT0CeTW/EI+bvjsyPXGKKgiyJhAqjyfy//n5ugj5wVP+elyaMVrDWlvf3q6oxyZN+5x0ygMOHqUVIxlo8TrW0uzuzh6FbS6o8wL4i/myE4vReX5+3Jq7V1dQmZ2dJNGLTnzvH/xMJ4szWlvs6cvHd5GtUvbV9mCSQ9fQQb6Wib2WFOCWdg9ycf3rjXOm8JYVsDQ10Lq6tcd8kkqabN/JsTg7znOtUcmk6KCGIuTkS2sSEqnIyDH7u6ae330PnoisrysNbVMQH9bq+UAj41a9U3cDt22qmnGGopKOrV/n+xARtp4UFtUGmyUPcIz/AvlL73Wxeu/cmJ0mws7P0xywvq2vZNXGdnaWJJpV1jY38zOwsf8bHqS1UVPDaduvwUnuiQzYzQTdxvVynpoZr7uhgDorkJCwtqTZygL2aroP+HDK5a3iYGkQgwGft6eFYPil7t+KlrElShTc3GSIXh3nOiWzC/XWwNh2Uja+tpaQdGOBhLi+TIQgBNjfbE5EgUiLBw756lYfc06PacGdbn5T/ytiymRn+nD3LzZN6g4sXuZ72djoqZ2ZUh5fKSuUn2CM/wL6S/Nli5Pp7BQXK+frMM8CPfkQGcPIk931+fnsTV+kwJaWwDQ08k3ffJd489hidjYWFNA+kSYu+DqcpzF56PlohVyewfh2JaqVSpINr17gvjz6q0tHd2n55KQvWG4y4nZkUUYlQ3twkA7h8OUdtNpemgw0N/PzLL/PidXV8+IICcj07lV/AMPjQLS1qyq/Y524HKesbHVWTdmWTKyv54M88Q41ANJPWVq6ps1Nl+zU0kCk4DQDJE+wr4gfcCUVvn3bjhiLO5mZmTb71FkfIP/kkCV+394eGOG1pbY3EUlVFZiCNYJ56KlNTsGvSYtc6zql+3otZsJPmsQKnT6uOPOk0Hc6S7yD45ZZGnkt3JDuwe0YJt1onKHnWZm24/3xjFwZjERS8toCSxqrMPJq1Naoa4TBtb8mfd1L5h4aA736X9lAyqaq2UilyvePH1UHazVzr6FAagiBBRwe/u7ZG9aurC/jCF1ifXlCgcvulHHh1ldeScJN1lkEea/r3xay+XFppy6yEmzdV19tUinteUcGzs8vF/973eD6zs6oaU7L4mpvpo7GOZtOvJT6bX/5Sdb5pbWVrL79fMQo75HcaS+c2O7CxUY0KkwpF6/ftBoN47QmpzwPUe1kEg9RS3UbpuT1jLLa9inIn4+ys96kZ7sXa0hpWzAC6uu4zgF/+kg8tKb96Xfe//teZF5OQ0O3b5IrikX/uOR5+IqEKcmTaqtMMQOswRbvhiVeukLGMjJCBBIP8jjgcJQ3ZbhhkFi75OzOrL9dW2v39PBNp2xYO81zGxsigpXekjvgS3ZHBnffu8Tuzs/zMnTv8Wx8lZ2XCv/gFQ2nhMBnD+jrDuEVFPG9x4OUiza0OzkSCOOPzcU3S36C01H6AjZ2W5LVK1K47kpeS5WzPmM+qRv0+ay1RlPX3AgYwNlaGE+1JNSlF+p0BitNY4eJFHtbGBpGhpYWM4PXX2S21tFSZGC+/7B4+sks+OnxY9eWT0dsDA7TzCwpUYVJnp0oQOnFCNWmUWQYfJW9/rq20l5Z45svLVME7O3n+16+TQH7v95QTzi5GLtVwS0tk1qIeX75MLewzn1Fj4nWP/G9+o6I95eWMrd+7x6Sis2fV53JBfisOSelxcTF/ch1g4wROGsLUFKMdhkHi1+cbuIHbM0o4dW5O9cysqnI3wZ3WnGliRYCuHhSPxbB8Zw44GlY9227cyByXbBdKmZwkwdXVkdB8PqpuQ0P8/le/qgZrZpsBaOeckhFcIs1qa8kMXn6ZiHfiBEOJ16/zgRYXnZs05gkeem+/lyQYqxP4xg0iWGUlz/GNN2junTypvNW641QQXhxhpqneW18noXV38/fPfsazskrZVIqCQ2Bri5pEVRW/J556N4e1FayRgLU14h/A5xEHdm8vtdSxsdz2FtjuJJ+ZoUYrnv36ehJmbW12Z7eA2zNWV9MJLyPFFxf5f7Yomt2ahQlKd+44Iphp78HWZ55XzRaiUcXNJCPQjogaGvjwoRBTFX0+Lrqzkx7Lz35WfU9mAOpgDR85ZSxZM9W6u+lLKC/nvYNBXkufsroH/fuAfSD5vSTB6BISUK272ttJJDIT4e5dJT2lQ7N83zpia2VF4Ynkejz+uEqUseLP8eOq9Fuk+Ooqr6lrK7nG9XXVXcLTIyN8nnRapapPTW3vUrSTSsG5OTLNgQGVzpyrdpHNKf/EE7yeMIC2Nu57rlO0OjtVG/GSEp5ta6t0BdIeTIhyZcX5RufO0SMsElZ68507t13KnztHDglk2vx2MwCtapV1xJG1Z1pVFaMF1dV8fXZW1fnnGR56ye8lV16XkDL+qrVVNVZtbOQZ3L1LKba+TttZHGnWGPknPsEJPj5f9hRWgc9/XjGquTnV6/HjH+f7urYiRS6/+Y29FmEX29d76Tc28lnGxni/wkIyBJl7kS23QAerZiXZeHr6bjpNPHz/fara2a6bLQ25vp4E+tRT/F1fn1smq6xZCvlkqvHamraXueRNA2QI3/ymmp5bUkIiFweR9bMvvaRy9QMB5ezTwU6t+vWvgR//WKX9Ss+0SESllH7hC+TkUhQUjXpXu3KAh17ye61/1yXkr36lJiGZJv02iQQZqgy8TCYZETDNzFAUwD3u6+N+373L99bWVOhva2t727CODuDf/3v6fJJJnulTTymhoWdrBgLAxz6mJKIOTg5Ovz9zhoQMejVNrs2uS5FM2LGLSIlAku5X4swUrVNvV3bpkspEranxFpqTQiwReqL17LaTEbC9klcyF4uLlVl9904YK1eTKKsJoOV+pCzrjU6fVupNtpCIlx57uvaRSNCWqq+n+midSKw78155RRVBGIZyGn4IQzs+dMglV15698ko9EuXKM2iUUqIoSGeb3GxYsh6BAFQxPfCC8DPf04JHQwqbWJ+Hvj2t7eXplZWUv2XMlrriGwZyeXmvHRycL77LhmGPo58bY1aDGDfpejqVTX8RVrW/eAHFCzT07x2Vxe1oL4+4r5onUePUpu4dInab2srn0OS07LhoRMTy9Yz0Sl8bj1jJ7NC7huqjaJ6qRfJRaD/ahm6Oiz9AK2L3Ytaet3zKdVNlZVq9LKdF18eQNpTr65SSzh+XNmpeYJ9QfxO4HRmL77IopXRUSJOYyMR9tgxMtnxcUqwiortTS4ARXyBAPCVr1D9TiZVFKCigkQm8/2sTOPwYUrlWIznJSXgMnFaB7fRY/pngEyJ2dxMR6b4M0yTtv+TT6rP3rpFBmiNSP3jP9IPJdfq7iZB9vczMiFdo2/fVpWtoRB/+3x8T58abAdWJpZO8zwGB3kOdkNRJNRuZVYvvaQmfMtZd3aqNcqZxGLKoVsciCBZ1oPi8Rh8M3MYnw4j9GUblXEva+l1FUXsqdVVZffYefFjMTVPUG8YGYvR6ZRH2LfE73ZmHR2sVpOe/BIP9/ko8Scn+R3dj+NWHSjOtelp5QA0TaViW5kGYN+S24vK6xQKO3o0s8V8Mkk8qq1VdSGrq5l+EV1LEAiFKOl1JhQKkQHMzam1dnSoxrcbG3zm5WXe5+5dRqYkGcpOWOpMTJKESkpUUpueJCRn+cMf8v3aWjW3EKCJLCXUVVXcnzff5H0XFrZPzpLu3JuhCJKhnt/SWJcdLe8mjTIb6EMd791jGE98CYC9GSIPdO0a/xfbbnb2wQ/teJjAbp6c05lFIpk9+SUCMD3N71nHttlVB46PU7qOjFDqiwovzVqspak605DaDmnaYh0r5uTpl8pCPXlsYIDEPzFBHJDZfh//uHJkJxKZ0rurSxU2CRHJ5xobvdnd1gI3mQXg8/Es3nuPpoI1b0K+K0zs6lWaXBLalvteucI9lfHqiYSaYHzkiIp+vfkmfTW66SyFRrW1mXMIq6uJA2fOuD/bb2Eve6lHImqoY2EhEae2lgjl89nnHITD3NCuLiJgIsGH3YOuPg+9t1/A6jiNx1VTTwGrM1ePFEhI6fhx4I//WA1rcaoOnJwk4W9uksBKSmjrp1IkaqkZEMTSY9si6ZaWSGhOY8XsGn1IZaHEwAvun9Dly6q3gN/P9YlGCCjp/eij6prnznHN8/N0UsrfX/mKt25D0Sj3qb2dhC+NQCRLUkKCt29TUL38snJI6/F8w6Cv4MYNRYQyQ2N4WJkTiQQJ984dMgZpu15aqjQVMZ3DYeUA1kvmo1Ga0m7jzPRISqIgh8SLnYBI7NZWPmgyqcqE7QhaENDvJ7KePMnvSoJHHmHfEL+13ZU+T06IzdqiyinkJPUXdkQo35meJuJWVlLFlQ7Rd++SqK2lqU6j3Vpa7Dv9OHWrkVBYczOl++3bvOfGBglAxnmL000HK846RaROn/bWbUjWWlTE/ZB8F7+fzCCRINHLjEohrHg8k4nJrIpHH1XMWSIRkqsgE7WmpsgIlpaoWdy5Qw1H6HNpSbUll4iEPoewsND52ezKrS/PR7E4mUPfNa8gN/vRj+g1npigxFhcVNVnbqWZXltB7QL2jdrvNE9uZER1lykszN6bUcAtghCJUGJ//OPK3gVINOKMSqeJrHYlxTIlSqaQ9/fzzGX+o9s5irosYeCRERXuXV5WIb7KSiXh3JKFnCJSTqE4OwYQCrEITvpSVlZyLVev0icgiUA1NYrJLSyofaupIfMwTe7DygrX/vTTar6FMJFIhHu7vq60mU9+0r4F+xNPkNFaZyQ60YqteV8fweBqD7qLY2rG3o7qjaHs0uvXmRQhhSFbW1zo4cMqnv/++9vjxfqmP4B23vuG+K3OMsmNeOstEqhe+Wg3wCNXKCjgGUl33pYWImVFhbcxVmtrar6gNNPc2spkTHbRChlSMjGhaubjcV7r+nV681dX+fn2diUgcp2yk4uT2+qDqq3lPaem+PlUigyqooI4vbXFDMqhITKKQ4e4zliMTFGEWWEhz+utt2iOlJeTwZSXc8KytMD7xS+o/Swvq3F6p05RQ5Lwt1PBkb7HN25sZ45lZcBcKuKt3tgtJCgdf5eWeFChEDmdzDaPRFQVVmGhCk9kq0/fwzbe+4b4nebJPf749nLbXP01doUt8/NURTs76ajt66PP4Otfz34O1p4OAAm2pSUz3DU/TwS2El9BAb83Okoc8vv52Xff5Ro2NvjM1vbXds+Sj14BVh/U2hrNUL9fOUABqvamSeIfGCDDEmdjIMDvnDqVSWdTU5yelUrxGR99VA0alTOWCsZAQHW40sexy4xEu3McHFQMrriYvoTubofqTLdNkUO145aA6vi7tUXEEUklHE6cLocOkTNKqCLboiW0Ia2R88gI9g3xO2X6xWK7n31nPdPz57nHMgGnsJDE1t7uLf9c1qr3dKipoeYn4a6hIQoGmf+n41kgQAFx9CgRNpmk8JiY4DVeeMGZ8HOR5l7b4RUUKEZ1/LgyMb78ZT7j6Ki61uoqz2V5mc8qA2uCQTV8xbpHfj+98/okpMuXqcnJNaw1BnaNVJzOUVqHT07ydyzGhKltRX5um+LGGAA1zFGyqmS8U0kJ1ZJkkpsnQyCKi5lieukSkUPSSGXR1tCGnredJx+AJ+I3DONzAP4CgA/AfzNN889tPvMsgP8MoBDArGma53a9OgvYmUK7bYBpd6YyiUbmAAIqHyOXteqhRlH/ATKDpSVV52EdqHHsGDsO1dfzvj4f8ePUKa5tYECF/3QmkIs0NwxqM4mEal0mnX3tCEkGz4gjNBhUPQ6sjWsk5DY7q2LuAO9TXu68R3o41u8nsxgYUJqFdBKy0+ycznFkhEJ3a4v3r6+nJjE2RoaWMRfTLRFDxkVLGCcYzKwOE++j3FjstePHyQzef185psrL1YLr6ngY164RaQX5GhpUaEMePJ85CPBA/IZh+AB8G8BnAUwAuGwYxnnTNK9rnwkD+H8AfM40zTHDMGp3vTKP4DX33wnsmL0gLqDi7Ddu8OwLClRZdzbQGdPiIpn96ur2zk4CgmfyvXicji+/nwQ1N0cEfuwxfv6997h+KRX3GrKWIqF79/icMoQklSKeXrlCHJTsOUk0Aoh/Mnw2mSThHz1K/NRpRkynbA5Ja9OQtjZe/+RJ0om0ECstVY49p9wYu3N85x0y8Tt3uMaSEpWqva2a0E2S9PVxYyQBY3WV/586xf8lISIU4qbJvDRJCPmP/5EqiCSpPPEEOZNMPQGIFDry6VmB1umyeQAvkv9JALdM0xwGAMMwfgjgSwCua5/5twD+0TTNMQAwTXM6L6vzCLtxjtoxe0HcyUlK4LExqp4tLbS74/HM8u5s64rFKHkkTHX5Ms93cpJa4NGjauSYMK6vf11NjJIy4du3iZ8S8zYMpZ739HgvmonFVFfi1VUVZpMW3L/+tfJ5Ce4NDXF9H//4ds1COvwCmTTT3Mz9AqjNOIUTOzu35/NXVpIOq6p479VV7mFDw3YmEo+Tnqwt76qruTaJ4BUVkZm2tyv6zKAjN0miO5V0MIztNeGJBAn97Fk+uNVOv3CBHH16mveqrFRxzooKXmtycufTZT2CF+JvBKB3uJ8AYCW1TgCFhmG8DiAI4C9M0/wb64UMw/gGgG8AQIvEwT5kcHIkvviiQshIhIRfXq4cU141L8Enafsm05/SaZ5/eTm93T09mcQhKcpidycSfG9+np7vsjJqjCJMnJ7FTtqKlDRN4qbkJIhKPTNDQSNmSmmpytQLBrc3J5UuvtbOybW19JXYVS8KyFStI0co7UWbkP2IxVR1YTCozGNrHUxtLQnaWiz33HOqVF5oyOdT+7ONjpwkydYWVT5JcNCdGDrTKCykU88w+B07MAxqDZGIqgG/coWb2tysYrDhMK+fbbrsDsEL8duxPGvXTz+A0wA+DaAUwFuGYbxtmuZgxpdM8zsAvgOwgWfuy905OHnB5dx+8QtW76VSNNM6OymVV1bUnAdANYDNdZKSJL1cuqS84G1t6reUo+pgbeRx/jwJMRikBBsYoPoqCOzVBBINQVep5+a4R6+/zj0QLaWkRGkdEk6TzjldXSrbT1+rdNnx4nvI5qeQHyfQvy+jwX1UIrAAACAASURBVPRiOVmPhB43NqgN2GkQriAhj+Zm1Qz0vfdUhZMg1fy8CvltbHCD3nwzsweaIJOEL95+W7XqFkeTxESFEezEps0CXoh/AoDeyqQJwF2bz8yaprkCYMUwjDcAPAZgEA8BZPOCz88zNNvervLpf/ADSsXCwszJTaurfC1XzUsy92preZ5WaZvNjDMMag/xuGoXtr7O9dg1NnED0RBEpRbibmvjs0WjxN31deJ7PM73dGaxrXOO5Vm9psvvNrXeOiTHruWdFw0iK0gCxuioKnq4do0qod/PjXrtNRW+kLxm0yQR67PRdC1ibU1NPNna2u793cOEHy/EfxlA1DCMNgB3AHwNtPF1+GcAf2kYhh9AEWgW/F/5XOhuIJt0uXjRvhnr5CRV65ERniFAZGttzT370yptNzeJRyIc2tvdv7+1xQ5DN26QUAESXV1d7oJA1xBSKQowmU4klY59fVSPu7upDRQW0jchPfdmZsgA7HwfuTTs2G1zDy/fl+f1SkP2WmJEzfqTGfEnT/LGExOqmcC9e4rAZVrqwgKZhO6ckcQJgEghPc12sgk7hKzEb5pm2jCMPwVwAQz1fdc0zWuGYXzz/vt/ZZrmgGEYPwPwAYAtMBzYn69F7jbhKZt0cWvG+tJLJISBAb7++OP23v54nGbb9ftuUGsYTpe2uhNRRr/LAFcx+ewIam2NPqSzZ1UV3927ampwLnuiE0RFxfb5AKdPU7UX4VN7P34jU6iamojfg4OkCf3euYRfdxuqzdesQwFXLdE0eaiGQUeNSGmpLtvY4KHKAI7iYuXAk/7xPT3bFy0dVNraMru/5Mm2d4KHfmhHLkMunMA6QwHIHBTx3e/yf730dX6en//jP85+/Xg8UyMEyHAOH1ZhOPlcLMY6D3HgSYOQQMB9IIbdYJJkUoWXxUnptQlmLvsj9x4dVc48GYSiDySx7olXhr1b5p6PbFi5xttvZ7Y18yXi2BqMoXRtAUeD9+vIGxrUFF6ABC/dWlZWKC2k0cHKCrnkiRP8riCU20QVaeSxtbWjB/qdGdqRj14L2aRDLs1YddAR5u5d4oRTGA5Q0lbyRSYm6JmWDNDlZefn00Nily4R38JhImoolPvI7Vz2xy5jUZJ5nJKfcjFV3T7rhbB3axbrjFWav/T3A6da4qgf68VWSQDzBVVA7QZtnieeoOpz5QovcPo0N0xMg+lpqo2zszyo48fpKNHVertFS3PFHc8zyw0eeuK3qux2TTJyibfbOU2l9PXiRZ5ZQ8P2WX5WsCLM6qpq+iqVdxIVsCLw8rIqejEMfv/GDeVHcErMkZDYygqfXzrtZBu5nY2A9P0ZGVFOMb3Sz5qNJ7CXpqloVPPz1HakS7GXHAuv17dK+4oKCvTSUmDxnRjqmgNIIoDyChAxnniCxN3YSBvQNFWJ52c+wwtLymQ6zd9SwOFlMsledhaywENP/LpDR58ZpzfJ8MIUs0kHvfRVkEIq+uwYjH5GFRUk2HSa5t6RIyoqoHfsFRtSL3oJBFQpudjcTok5+v1kvPu9e8Q7p7biVhtWb4FlmipmLxWF8XhmBp++v/m2r7PBlSs0NWSfVlf5/5UrZAC7ASdp39KiajDSMwtYaapCalUTBPX1PFjrwEcdvvxle1tV9xI7ceS97CxkgYee+HWEu36dhy81EsJYd8IUrVN9xcQyDEqahoZMYtHzL6xn1NxMtf/uXUoNadYi1YZWRi7xcylYWVykr0fyz90Sc+R+H3yguve6jdy26x69tsbvS6ZbSQn3I1t34d2mUns9D6GF69dVpx5A9RH8yU92bA7b7otI+60tavWBADWrQoQR3UqioyugWr4lk+QUvb3eVCm7jXLzKuajt7lHeOiJX/axr4+2bmMjJavUWOyko7GUXm9uEvFnZ8lcZYb84iI1tMVFVVS1vJypaVh7x/f0MJVVGracOkXHsF3HXr3opatLee7X1pyHYFrv94lPUCWWWhGnkdt23aPjcUp9KT6TSjlpD66DVejkO+wcj3OY7iuvkBk+8giZZjxOJqi3KlteZphTBttkM4fdzB0rM+3tJfOWxqErK8BESRSPzfUCSQAV9yX45CQ5enGx+yLcNspL6TCw5+rVQ0/8APfR2k1GINeOxvG4Kr2urqYKvrxM5JiYoDYh1XaAc1GV3SDWY8eAP/qjTBxwqx2Qohe/n7kDbuaL9X6RCOdQVlbad9C1G8ohdSJCDEBmpRzwwITOb9f46qscshIMcp2Dg1yndAf+4AOVRbiwoIbXWsug7fwcTnMDZme3DyuRNvprazz7I0eAsrII3l/qwWoshq7UHCpawtxwvYopm01ux4HcVPu9VK8ssC+IH8hfR+NYTBXLGIbKB+/rozknY9Sk2s6pqErO6MoVVbxy9Oj2+7nVDszOej9fO5xwcnzpiK8P5ZAGpwUFiqD1Sjm79uB7adPHYmSCfr+aoWAYPI+REVXfv7bGzw0Ps6JR32cnc9hOuC4ukvGfPr19WEkqpRqUiDlmmkBiPYL0yR4MSDjzwoXswxcEnDiQDAF14rJ7mNWnw74gfqnaisdJ9Ovran5dKOTcf84O9HHcm5tEKoB/FxUR4dbWyAjEY+9WVDU/TwkiFZ16iS3gzshzjcl7xQkr4stQjnicSP3kk3QUzs9T6ykqorTr6VGScY+FDgDu1cYG7yPTkOUMbt5UNRaSSi+9CwFVVu/32++jXZSot5dMRXI4xFHa368SmUZGMrsvWduz52STO6n3MzOUYiKFrF1FDtp4EfSqrakp2mXinGpqIsLm4vXXe9FPTvK6o6Pce2nMubmphlbMzzsXVfX1EVl0b/TICF9/7jl1zwfEyH8LVsTXh3KcOUO88vn4/IuLqr1WYaGqqLP6pvYiWSccVnUSErqVNmDr6/y+5OsDlPivvcb9DYfJKOSMrL0w7aJEd+6oPhvSCkwGuX7qU2omYiqlEpmkbdhvaTsXm9xOvd/YoK156hS57OxsZleRvZwgZIGHnviFeabTatpLKqWm72Sz/aygl16PjhIZZBrzq6/ymh0dKoVXEFpKVX0+1di1r49MW/dGmybPVif+Bw1uwklP67XL7APUPuaChzvB2WiUzHJ0lPkKo6N0xkoJ9Xvv8TyCQTJmcWxKXX4wSKZmN8NSp1FppZ5KcW0VFXzuyUni1cgIr9/ZyfOVISJ6e/bf0nYuNrndQUjP8oYG+9HhB3F+BcI8r13j76Ym1QdOWqZJXbmXUKh+dtKRV+rl6+qIFAsLZARiUzs1dh0dzRwo8bCAVThNTfF5m5rU+15Cyrng4U5wNhLhHl+5QoaaSgHPPkvG/P77PPMTJ3gmfX30xxw6tL1hq12WoX7O0kq9s1O1wkun6fRrbeU119aU1tPdrTQYa3v2jItnAzstQXqW66Bv+kGcX4EwT/FUA5QApqk81UBuXmlJWFlcBP7+73nt+nrlcDpyZHvDDjvk7uykpCovJzKNjTH5q6ODzGNhQQ2RdCrYcYLdmH3WjL3xcX6/tJTOyVdf5fuG4W6+PojSXGEAIo0DAarojY1cRzyuOl1XVvJ3Msn9Fl+Ak92v0+jamsrhmJxUmbkbG1yjRBX8fq4nL0LWTkuQnuU66Jt+EOdXIMxTt8XE876wkDmswatXWpfiEt8eHSXRd3TwdWvDDjvkPnWKZ7q4yPMtK6MUWV9nYpD0oNMTabyYbvkw+3TEr63NnCFQW5uZXlxfb2++PsjSXH1/hdGXlPDcn3qK7wtTePddajPl5Vy3NEJxmoGhV1TeuaNCm4cO8f/6eqr7krvjtUejJ7BqCXK4gP2mH8T5Fcje+f3ck+pqeqtTKRKcdViDF4mpS/GGBtVyrbRUteqyNuywQ+7CQqqpExNkHDU1yns+PKx69euJNBKZcFtjPs0+3WwqLc2cMNzQoBKL7MxXNzx0ajdv91kd5Hvj46qGoKWFhCf7Kz0PAP6dSFBSi/S/d4/XKShQoctgMDPt17o+iWIA96v1fDwr0Yju3SNjkUGfss95d7xn8xkcxPkzQVRDycBbWFDDGgC+dvmyUusCAR701avbOygB27O7JicpAfTUXGvDDidC6OkhMZ08qcq8S0qUXwLITKQZGSFCuUl1NxXarm9AR4eqBrUiqJ3ZpIewpP+e077b5TLMz5PQpcv01askpmee4XM74awIvc1NNYhDhthIe/CGhu0Fc8JUJOxXXq4YbGUlmdf4OJ9F5llaNSex52VvFxeBv/s7nk1hodIajh9XGt+ONLB8lCEexPm3g5MGJYfT10d1sLiYHLyuzr7U1Zoq++STmam5dg073Biyfj2RWn5tZ/VEmsVF99Hi1vUJSEq5tW/Am2+y/+DHP545o95ajJM1hOUC6TT3RJje+fN8noEBEnI4TCJ64w33kmLRaG7f5rWsgzhWV1U059QprjWdpnZy+jTP6vp1En5/P5lFKESmPTxMRh6LqX2122PZW4BM5NYt3qepSfUnkNkCXjQwndZrl4bQefM8AsX34/cbG95tvQ8B9hXxW5mqpNzKoQiirK+rzjx2pa5eU3Ot4MSQ9euJ1BKJIuOxpWGkSFwdrI4xJy3D5+P1KitVeHF9XTmtGhqci3GyhrAcwClTrrdXdfBdX1ez+txME5G6uhaia0VOWoh0MQK4fxsb/Kyc1cYGryPzBwBnzenMGcVAxcsvA0Il+1L2xMtUIxE+tf44gr88j5FNP1oeq0ZwY5Ucqb19T8J0+YB9M6Lbbrxyby8PXkCkq/6aXamrEEQuU5Dl/jLXPR63v146Tan19NNq6lJjo+rR2NKiJI+AnQT2+aiN/OY3fFYxLwTRBTY2lPosIGm8+vqeew741rcowdNp75OfFxa2M6t0mvZyMKhqXAyDa3HramztYwi4D+IQ0MefNzWpMWfl5WQcppk5wFSX7gJ6noNEDQoLaUqcOKHGkOt74nYdIJMxlkzEUOzfREFVGFPThnKwiD32EMK+kfx2Eqimhq+fOcPXmptZ+Sfz3cfGuO9HjpAAge3aw5kz2QlArwJ00ubstAL9XgLZnLm6NPnYxzJ73ktGnN5NuLCQzEEiIAC/I30ErKankwAaGto+OKOjw9nRKVEMaSNumtm7Glu7BrsN4tBBN7nEJFhYYLZnOKzyNaTFPeC+x3orPgFrx18vZ6VrBr6lBaTD1ShJr2Jp5f7hlJRQ7bQr+ngIYN8Qv50KFo3SwaZXx50+TcTq6yNz6Owksc7PUx1/4w17IgbsvdDV1ZlVgKsetTk3Z5GbMzdbtadkxEnrxaIiEpAM4Ugm6feQPAgvjqqhIbYxq6wkA5XW5S+9lEkAGxtcx8QEE2303HwZsOlWZKUTca5ttHXGdeaMchxKhqwUS8k13PbYjqFNTVHyX7iwnVl6uc5mMAwjzbzxsnIA5v3CELs664cEHvoGngJOTSbX1qjC6RKur48Emk6r1NBkknnhIs1WVylFZMa95PQPDVGN3tpS2ZZLS3RIiaSQUGBDg3NDl95eJnPNzWXOuxP13wkuXNjeSVdGvDc3U5uZmlJNP8XbPzSkOgwXFHC9kj0qe2XXaBPI3sBUIgwSaq2r475IA9G5OX7+scfsp1PtBpz6XFqZdK4JVHq25tSUas0nTlOJ5ADOznv9OuZcHMs/70ViYRNd9bNoD86ivGIXXVV3Ab8zDTwF3EJt1kO3U+vGxlTdvmEotVlGqz3+uL0XenOT0k1Xtb1oc2NjaqyWPu/OLbQGOEul8XFGCdraSHyTk6qWf2iIxCce+ddf52tyb9kzp2w7t9blAPe3ooKhPFlXKKQqBSsqqHEJ4bz6qnOfgVzAam7Nz5M5PvFE5hiwnbYtF4k+Pc1rCrOUZ7xyRXWL8vszsyMlGiSh0N5rETS29eB4cQzGaiE+8B3F0RejqOx4+Lz8AvvG4efFSSec+MYNNX5aQKYei6MJUF18VlaoKfT2UqWVsepSTy6FWH19DA3duZNdm1taogSWIaylpdsdc3agO7dkwKSo/IGACn+NjnLNVVX8PTrK1w2D2kVBgSJewN2hJolOOkgSkIDV8SeVgoEACaGhwX5t4pjVHaReYGgI+C//hc++vMz7S9fiubnM9mgS3ssFBJ+ef57+oPr6zPfLyhhWlKKya9d45pIdKc+kM8aTz0bge6oH6598HunTPRicfXgJH9hHkh9wd1g5NbA4fZoqus/HENf0/fnBUqsvU1yXlniwKysk8KYmSi9Bto4OSu3paTKDb37TXdoYBglAes1JKq3evdntGXU7s6kpEznHx1UNvBCcdB8KhSjFr15VAyqzZYh6aV0uGok1p355OZMpWNcmUrSvL7OLULbS4PPnVV+FjQ0y3GRSzREU0JOfdpqJ55RXIde3y44UpqMnDumwR7U4eYV9RfxOMDREu3V6WnVXlgYW/f20Q5ubKb3LyigVEwkiV0EBkev2beU029hQuf6xGGu919eJdO3t/JyewWeFeJwIUVdHTWNhgUTS3b1dvbYDOyanI+fSEpmSePiDQT6L3n2oo4P74SVD1Evr8miUPpORkcxaetOkWSJDMnt71ZxJgY0Nvn7unDcHpHRbCgZ5v81NMu90mgxNH22mRzb0jEO7zE4ncDIpjx7dnh0pjOb998nYo9EHWouTV9j3xC+e6vl5NVX3Zz8DPvc5Etvt20Sa2lpK31iMCHL0KJFlbIzfi8f5dzDIQ93aovqcSmU6+wDnQRUCoqaL6iuNQaam3Ds+O4FdUtLCAp8PIEPp66NWIZLe52MHaa/ST29dbgcSHx8fV+m2hw/z3m+9RWYq+fLJJNeSSJBo3nuPr3/wgXLAbm4CL7+sqveszTVFM0ul+MymSd8EkBnZWFnhfmxucr9LS50zO92ezc6rD2RmRyaTNCkffZRm59aW6gvopa7hYYN9T/w//rEqnU2lqCYGg/TeRiJ8va5OceUzZ5Rqf+QIv7O2Rts+EFDz83TPeK5cXSbyijRMJFT57OXL1DZkXrybiqqrsj4f13nvnpoTOTjI7xYWkhArK/e2FiSRICE88giJUzoXDQ2RiAsKVJ8Aw1D97197jR750lIy4rv3ZzwXFrImwqoJSEafjCNfXOTzhsNskVZTk/mcly+ToYtqDthndrqBk0mpZ0cuL/PZA4HMcWWzsw+sFievsK+JPx6nxGtq4s/ICCV9ayulxMqKGqihQ1kZ3z95klKov5+fnZ9XvQJffJGfzbXCUvoNXr1KJNWn3lZVEVn0ohWnFmR2eQLSNfrUKfov3nsP+J//k8975kyeS1FtYHFROTEB/p6ZodSVXHxA9QC8dYsE095OgkinuTfimHzsMftOTDIN+/BhMhwxAZ55hve0Emk4zP2uq1Ov2WV27sQvINmR3d3A97/P5y8q2j6u7EG3assH7Dvi1w/wzh3Vk6+igsgiXWuOHlXc2E5yNzTwdyhEqfTGG2rwRTSaOX3WK1fX+w1KV+CrV5V/QKrSJJ4uk52B7RLKLtlHmo12dJAoCgv5fWl7vUet3n4LktWXSinJn0ySyemhUPGJSIl1IEDtQAhFzKFnnuFzSMxebGjZ86EhPmNbG5moDAW1QjRKG1+IWnI49CEmu+2REImocWXpNP1Ht2/z/85Ob5miDxt4In7DMD4H4C/AEd3/zTTNP3f43BkAbwP4A9M0/z5vq7wP1gO8ejUzHl1eztc3N5mcole1AZmS+9w5EvjiIiWxIG93t0o3tRbHWNdhlSA6wYrKPzNDJvXFL6qqNOtkZzvPsFPvRwEZwGGdKSB173vR+FVU97k53jMYVOFOGZxSoiW2BYPKodrQQFNMuiQfOqSSkiQ7UGxoiaNLjD2bxhWJUFM7f56qvrTI08Ox+eiREI0C//RP9HHMzKhmIjJ/oLvbubT6YYSsxG8Yhg/AtwF8FsAEgMuGYZw3TfO6zef+DwAX9mKhQGYzz2vXKOW3tijxt7Z48MEg8KUvKedVNsl9/jyvc+gQJfLoKK9hmkzqsB6kmwTRCVa6zpomi3Okc5O1UQVg70NwyqkXEA+0PlNAvOrPPKOSUl55RfWl2yki6g04JBpgmmrIRUMDtZ3ZWZ6BPpdgZoaSfnaW5yQVdM3NjEZI+bU0PhkdJVM+eza3NuIdHXTueZnQI7CTcNzkJM+ltJRMTKYkT0zQl3H69A67Lz2gdt06eJH8TwK4ZZrmMAAYhvFDAF8CcN3yuT8D8A8AzuR1hRrIaGuJu3Z0UJrEYiyCOXmSBPzJT2Z+z0lyv/02r/PYYzxEyewbGFD+AutBukkQp5DPsWOqOMdusrOdRLPTWCRXYGWFUsc6U0AawwpzFM/38DAl7k5MAp3ZHT5MBvOLX9DB19rK+62skBAaGmhuCd5WVmZ2Sk6nyRief54MS5y1RUU0HcRBWFCQ2VDTumanIiQ3u9sw6HfRU75lEpDdM9vRYSzG9TU2qopGGSiyvJxZUp2TZvEA23Xr4CXDrxGAliuGifuv/RYMw2gE8PsA/ip/S9sO4TA3U7y6Mt46GKSE4Vrcr6GXBst01qUlSphUikzg5k1+trNzeyaZXYmrlNDaZeetrJDI9ZLfxx+ng8yttNYuo/Gzn6W3u7hYNQ1tb1czBWZmuAYxCeRHH2iaK+jMzjDUuKzDh/lbOlCHQiRqu0rHmhpK9aNHaf40NfHz0SgZr8wrlDOtqHDO3pPQ7soKCXhlhf8PDbmf+fw8TbyiItUNeGpqe5amU+m45G5UV5NprK/z85LvsL7O93Swllbb3ujCBcY8NzdVs4Tbt8m9X34599TIHMCL5LcjJ2s10H8G8B9M09w0XKjPMIxvAPgGALS0tHhd428hGqUaW1dH4hobIyGcOsW9kzCeG7fVkVmms1ZX87fUdPt8qnOMgKiIXnriO5kY+fAGyz2knbjcyzC4XmluKdqA7dSZHMCqLou5sbioXnO7tqxX7ygkMXpdk1lc5FmuauOw7a578SK/J05T+X3xonOeQixGBlVSQq1rdpZ7ItqC9bNumt3GhhoeI8lV6TSvbyV+x5CwnfNqaUm1gJYuq9PTe6oBeCH+CQB6XloTgLuWz3QD+OF9wq8G8HnDMNKmab6sf8g0ze8A+A7Aqr5cFyuINDxMSbG+Tmni9ytpnA3Jrf37+vuJFFtb9CrX1tJ8EPtavNEzM7z/kSPuCR35Cvno+OFkv8u95LPt7ZSAW1s0Xdrbqdnk0rLLClZmJw019TRlL9e2Y4zSbDMWU4lVXV2K6VqvG48zvz8Y5DXq66kB6U5fOxBzcXRUtVAX887a8dfNN3DmDD/f1cX7ymTl556jABocVOXlriFhK4eRkdDiHBL7qKkpM484z+CF+C8DiBqG0QbgDoCvAfi3+gdM02yTvw3D+GsA/2Il/J2CxPLFM9zUxMOSg5c6bInxStmsE1j793V18dC2tlQXYIDEtLioSnwLC8kYBgcfzDw7q3PTzX63Rhn8fvpCJieJmF5bdtmB1fdQVUUiamvzVjegg84YrXb1F7/IvdU1A7smJ6EQnz+dVolaEk1wgnCYzFNPAjKM7Z165bNeNLvCQjID3S8nGaRZ8cLKYZqb6YD64ANVjCKxYulZtgeQlfhN00wbhvGnoBffB+C7pmleMwzjm/ff3zM7Px7PzCcHSIxVVfxfylk7OlRl2ugo89SdQHLU43Hua2EhD0gfrgnwkF9+mZ+RZJ1QSE1W2uuEDr3l9tYWw4XiS2hqykRaa5Th7Fk6pS5eJE6JUwzwPndPwCqxa2q4v7thfnb+rWxMVRjc008DP/0pibeoiK/L+HanZ7Oai5IHoHfqFciW1OWm2emamHSUtt1nK4cJhSh5amuVPXTsGKV/LJbbDPocwFOc3zTNnwD4ieU1W6I3TfN/3f2yCLEYN1JvWCm94iSUJqmei4tURdva1Ngz5+dx/x/gYTU2qpbcAvmu1nLyLAt+TE3R5CgpIbILw1tdde72m0iQmB55hCZCMkntSQZ05OpQtkP43fSncLKr3ZiqMLhAAHjhBdrusi9f+AK1P6uzXJjJwgJxZWlJzfjr6Mjs1Gt91p2m6npy3NtxmFQK+MpXMhM4Uinlxd0DeKgz/KRNlGlSxZP4ammp4tj19Zkqn7Xoxkpci4v8/JEj6jNOTsK9rtZyQxTBD93Zu75OpN3YyHS4WXFJ73Mv0Qo9OxDYWZJLvmAnMXf9LCSdW7oTSTTD2mH4/HkVd29vpyn0yCOZ3XqsA0i81l04gadkIjsOI6EdcWBIIcUehvseauKXuvBYjFK9vJzce26OZbuhkHN/+95elZQSjaoDlxg1oOK9FRX2iLfXk5OyIUpPD23VsTGaJ+3tqsBHb9hpxSW9zz1APJI059JSZcLsVotxy0txe28nTNXuLKamqBVeusQzbWlRzzw7q6JngCr1np5WjUZ1/444Vr3UXbiBU2bm9oQxizplbVt0+DAPW0o39wAe6k4+0SjVW+kOu7amKvAMwz6uPjlJKbe2xsQLv59OssVFSojFRf4v/eb7+4lEdojnpXuQG7i1+wbccwbk/p/+NJ1hjz6qUmM7Oojodmt9/nna/Hq0QgZcCDPt7+fru9Fi3OLhbu8B289NBmdKPwC70Lb1LFZX+d3iYhL+0pJ6LoDEbw291dfzs3o+gs6AJyZU3P6nP2W4fXPTe35EPE6t63vfA/72b+lvmZjgsxUXu3Q2ki9Go6pJYSxG1W0Pk3weaskfifD5QyE6/QCqbY8+qgpHrNpTZSXNpUBA9exbXVWhoCNH6FQdGCBH3twkQ/iTP3Few07UYi+2ny4BrSFFCUFFo/y7rS1T+3AzA+1m0+sRkJIS4lpr6861GDetRf530mj0c7t9mwSia2dO0lY/i95edc4tLSR8KSMWDclL3H1sjPu5vEyckLi9zFyU+oVsOCD5/TpR37xJid/UpHpK2poB+maKDSue5T1s/vlQEz/Ag62r46RWAUlvBbYT54ULSppKHr0+yhtQ7ZgAcmRJvc0neLH9hEjtwzYCQgAAIABJREFUQoo6AXR2ZqazPvaYexq4Tlwym/74cb6nV9Dtxpy0qreJBAlJzIu6Oq7VycTQz02KhUZGVJfjbL4Ia4Sjq4v3v3OHdRotLWoEm/Q8sJps8TjflzTfuTnuj4STCwoYPdLNEyeIxahxHjrEZ793j/8nEswBsEsYc9xM2w/lHx564s/V7talqSTxSJbb6io7sXR2KqmQSinVLp+OLy/nKQTgFFKUjkCDg9RYTp6kifLjH2e2mbaTlDpx6S3P5doy1nqnYNVa+vuV09owSITCdKXphZ2Jka8ux6EQJX5jIyW3DHKNxViFJz4U/Zn1jkurq/xeQYGaHQiQaSwv269B92vcuME1Nzby+cvLKWB8vsymsYCNBvIh9QF76Ik/19CLziykH5+ouI88opp7ZIv37ha8qPTyfG4hRasGMTenOvbYzeZz2498OS3jcTWvTwqJDIPOtJYWMtNf/Yp97goLgZ//nOO0vva17dfSuxwD/L266q3LsdM8Q32/JOXbjtnpHZeuX+eeysyGlRU+m2RJ2u2Bni9y965q9Z5Oq/Zi4TDX5Jr5t9eeZQd4qB1+ArozS7f53Obmra6ywUMgAPybf8MptmVl9OJubZEgi4q4v9nGTO0ExKk1OcnU7cVFpdK/+iqTTmT90uJLB2H8Vqeg5Na7zebTYbdOSyuIL6O4WJlily7xGerq+Prt2ySIpSXu9fQ0JeN//+98bv28Kir4mVSKDDmV4v9euxxbn8s03Z2oOgiDBnjPxx6jtnbokIq6bWzYz2fo66OZ4vPxOpJkdvGi6mwcjxMHnnkmy/7n+5A8wkMv+a3gxZEWifDgzp3bbq9JHYBTk4h8lVU7qfQApcz8vErAmZ9XCTjWNVk7Ee0kt94trXa3cWyZkwhw/Tdvcu1bW6p6T8aHmeb29OTmZpoHeoOQhgb3FG275xLIRYOWUWzDw1TTa2rUvmxskHGfPm0fbRsY4OdEY6mupgYn1X5S/djaSk0gq0mZr6KQHGBfSH4drCWmTqWfTmE0cXRZmSxAqfTtb9NR5PfvfOCEgKj0zz6rClakr72oyuLgray0Z/zV1QwV/fKX1CCKisgspIOthMy8JIFlC8F5Abt9jUZp0lRV8VpLS9S8JH+irk7NF7CWF0ejlJ5tbQxRtrXtbrydU1m1XemuRNeKisggZG6jVHuur+fWF9E06Zv5+tf5c/YsGeJDOqR3/0l+LzPT///2viy2ruNM8yvey03cN5G0REokTdmkJduy6DhOlMROvCaA0+nkIY6R7gm6ESRIBvPSQAbz0DPAYIDMW3ejkw6CIAimgU6A9HSnM0AyhjVJJ2nEi8jIi0QtFElxkUiREvd9q3n4+Lvqnlvn3LrkJX3Zuj8giLw895w6VfXXv39/Tw/huzc2GBbs6DAJQXaBhpAwxdCQ2ajnz1MKLS9TAqQDg21TUBKNj5vMRTvJyOXgsjeo3ZDy7FmqnO+8Y/L2fcaWCSirsOYdHR2mbn9x0WD7i4YyPc13Li5OrFXZbTptkHzvZ8/Fww+T0QXV+cEHqbVsbSViOdrU2UkhoZTBM9zcTM6/SNtvt4+IPgeO+SsryUCuBpgSax0a4iIMDlJazs5ygWMxtw/FrqATb/itW/yso2N3ZdXBLrcjI3zOI4+YhJvWVrea6wr/jo2R6c+cMbDXYRs0SJmIKAmO3YULnE9JQ6+q4t8EeffKFR5WCwumIUpNDcfY08Pwl1CmNV6f+7lKu2/fNmCrKysmSuE6HM+cMSAhMzP055w+zf3oVdbron1G9DlwzB+PA//yL5zsujpuLqnkk1irFAIVFzOUNDZG9StMeku998QET/7FRS7i5iZV47q6nZdV25LowgWqtWtrfJ5IjL4+hqVc4woyazBtNR3p7RuBSEXj45TqsZiRfPb8PPss7/XWWybkV1Ji4uaSbSloPnvs10ogEaxXrtC8kiQy8a8UFLihuYNUXc33DAppYBdaTCZUszToQDH/1BQhttvaTBus+XmGkaR6a33dzFlpKSX3zAxt77BFyMujNKquNg642Vl6fZeX+bzd5FzIASDMPDdHxrt1i4fX1paJOdtjdDmvXGmrvmPzTSqKor4+Ms3p04kty+/cMSnFwhjPPgv89Kf8zvw83/XmTTKV4PTtA1Td+5Sqn2NrK+fILhSLUtvDNIwd8+k+J/scKIdfXx+l3pEjdKx0dZG55SCQ3PXeXqbwXr/OeUsVypNsv5ISw+gLCwYX3/YX7IaEmaWZpqA1tbe7nW8u55Vv2iqQXFsAGCSk69cphWMxE/3wyWEXHDtXt2PXGCSOL5DeJSX8WQ61nWIL7oRswVpZyf1TXk6Vv7CQiMMSk0/XmZoRkg0iWVOvv87TyZVokAE6UMyfauPV1lKNnZ42HWTffZdqXNQCas3Tv6DAhKE+9jE6/wQcMxObwGZmybnXmv4JFyO4wr++GzTMsy9azalTBrX44kVqTD5eaZnn5WUTmxecftf8KEWbf2GB10rXHtEaIkEuM0xhbcYffJDz3Nb2gYTbDbW300bt7uaCFRSYXmV7AOSZ9Wq/jRl/4QKZc32dkrOmJnHj9fXREz40xA0HMHuvqSl6AaU3nO2YGRvz73LrS66ce7sM1aXhuVTLMLioYDejw4eTzcff/IY+DKX4T+LUvoAxUmjU2pqI0//xj7ud1FrTz7GywufF4zSnRNuK0qh24vjebSlxlLMwE474yHtUV3Nxp6cN6khXV7jXcZeU1cwv0mtzkx7tmRkytbTaamigZH7pJc6bpGs2NjLGCqTuqAu4syvT7XLrS7K5xO7u7U2NIx92D5vCAGElZ17ebWyMc3PpEj8rKuIc3bnjp9nYB1h+Ps2u2lquj8tJXV7OcdTUUJO6coV/v3OHuQvS4CNIO3F8p/rObrJoM+GId4GyvvYa7/F+PoHWpgRQyGcT74CyWu0XG21oyAA3SDnv2hp//9M/NVWPdrqmUCrJ8uabjOnH45RO+6HuheHIj43t3LQIJj/V1dFUtFFtpUeh+DIKCmgCpFvhF0y3vnMnPPGqvJzrdfUqD7vKSj5PfBdSuBTUan2TudL5zm6yaH3Gkwq/IQjKGotRO+vvt65PdxPvgrJa8ovzc3DQNKMsKCCjSntte+HSOdldJ/ni4s6ZPh2VsK+PGkptrUmUKS/3i9WHkQsQ9r336AOx0XClR2FJCU0i6f6rNTdtMGSVCtpqaoqgFXl5fAe7hPfGDWpt4qSdmCCUVn09QUok3dkFoybvIyHJ+XlGb0pKUuP82RRVSryb+ZV7C87E8HBqXAIblFVC0VqbXot9fcAT+1jkk9XM7zoE19bC66vTyRbbaUjVxeRAeiqhbAJptAHsXrNzlbi2tbn9FrbPIC/PxOplr732mqk1iIK2kvcuLOR9JGlJkmPm5nhIFxayym9zk88oLSWzlJeHw4lJMtfAAJmkooLzJr6v4Ly6WqNnKkrjml+A4xsZofSWKr6BgURTy95Pcg8pzgIcTVUynfIYQVnN/HIINjZS9Rc4L+m77nJQiW0nDOqKnwM7C6mG2X3BMtKNjcSGkz7x+91u0lR+izDNRJjXPgRtsM+LF8Nbisv1jY10JG5tmfTdzk6zqQcHDQyZJGUdOsQD48kn3e8ubbftZCitzdq60rODrdHb2sKzOjMxv7K3XKhRrkPN7lokuAeSR5IwB/tU5JPVNr/MwalTlBZ5eWT8oiJWS505k/wd3+KVnZhWYXbf5csmhCQhWukD6Bu/jwrXhdmQrrmy7dkTJzjmn/6UuHJSfBPsPxcs1FlfN+3A5+c530VFpoxYwnOSVCXp1DKngsHf3Gwk3cYGbVtRd0VLGBtzv7tU/EkVo5RfuwplZF0aG7lXyss5rokJPzPOZ55d83v0KMcDJKJGyTyFRRJaWxkl2dyk6SVNVd6fg3QWfheU1ZIf4IQ99xwdoD42dU+P6QgrXnRXam7wJB8f5zVih/pqC+vrtPukbHd+3oTPpOEkkPh8H81uJ97lYOmufD9MJe3udqvKdivwVC3F7U44Ev/f3DTRA5F0Q0O8vqiIh7YkX01MhEdVmpoSUYgAUzSUal0KC1MDggTnKdU8uwRyGGpUWPdl134uLbXW3w5x3bnDxfn97xkSyTCeX9Yzv5CPJmSrfwIJdfEiT9dgxyObAX1BJIMVbWLzNTRwI8/N0ZnzwANUN6MaToaF61LF6X3DvbaW4gIy7e2lHV5fz3GXlJjuPnl5/F/alJ87x++ePk1JbavSUZ1w5B1jMe5fyWuIxzlfn/qUAWJ1ka/vy16Xixd5EBUW0gyx19Fl+uwmnd4eX3k5JXpfH5lZWr/5HNRJC7e5aZwd9fUc8M9/ztBWBm3/A8P8Pt70nh7TbruqivNWXByewGIvQH19+AawE42uXjVdWWdmTE/F48dNddf4OMNgroaTYe/hG6f3dQra0tBWSW/dohp99arpTxiL8bARZ+pTT3HMk5PUDuJxXie5Fi+/bOZe0oUFiCPYCUckHcDrNjb4HmEdc1zrk8r3JUw4NMR3BJKr8uSaoIRfWDB4fUK+81xdnQyuumsBPTPDDWw3FqyspJ2Q4USfA8H8PpqQXNPQwI28sEDmOXKEP0fFz6MaLdiNP44f5wYbGOAmW19nimw8znucPEk78Nw5Mor0AqyqYpFLlIoZlEDSuPXyZdOsJB7331hhQKYLCybZ5/hxSiw5LO+7j2q2SP233+bnra3G6XbzJgFEH3iAz2hrM1WGUdK5qyv8uqgD0cfUk0Pi2jUTcgxW5YVJ+LGxnTtfBW9BwFWjyqu9Q8GVldzg0nkW4MSLlzuDlNUOPyFbE1pf57zE49SExBfS3U0GEVy1vDzTSz2V0yfo/JudNY0Wgo0/CgvJ8A0NdC6JN1rsy+Xl5FCkJGsFkzzefZeHSU9PsuOtqYnP/sMfEtO8h4cT8f/CfEG2U1FU0o0NSnuByhLBIgg7NgmopUBVKcU1EEYSx6E491IlzoQl2ABuB60kvviiDlVXM7LyyCPuNt9hyE527cbMDBO+fvtbznXYs+QQ//u/N/6lqEQk2wktmX3f/W4yzv/7CxeLcTACari8TObPcKLPgZD8qTQhUelE6m9tcd6OHycDpep4FNXrThhA7OWyMi7i/DzDWUEnT18fgSrsslD5XPwEly7xns3NprXYhz6UHKcvKOCaS5r3iRNGoxD8P5dvQqSMAIiWlfFZAmW9usq/Xb3KTRuLmUYVoiFJay+bbt8m0wKJDShcDTbDJF3wOtGEghgD//ZvDAOmY4tH+QiCWIjyjk1N/F53N79bV8fn5ueHz62MWSI6ktsQlrMQPPSlmrO/3+D7JeT3v/QSJdvt29wAjY27wzYLoQMh+SsrucHEngMSNaG+Pi5aaSlVsNJSTqqP1AeSpZLd6y4YwmlqMuAftkQtKeH3m5p4CNlVmQMDPERGRvhzdTXXsr+fG1Daj9lov7/+tckTePJJbq7Z2WT8v7AU09VVHn4yH8J8ohEcO2acm4BB4+noMJLw7Fm+q1TvSb2JbSO7qvLSwQoUiSzztbZGxpiY4PzYzVZSVQBGpe9GhVdlf9TVcW5HR5OxBoVs86G83BRHiSPVZTLIO0oDXvkX9gy0tdG597GPGTTTPcg395L8SqkXAPw1gBiAH2itvx34+ysAvrX96wKAr2ut38nUICXhQ6SIeJUbG41K195uTtXWVv59YsK/z6EtlaTKD0gO4cTjZBzBzpfmEPa6uDLT+vvJyNeu8XPJ6R8eZovpjQ1KdrtXo1LcGNKOfH7etJASCuIX/uxn/N8O3QFGYtpOtPZ2HgyCD1BaSgZvajI2++amyQcQPPuFBc5JWDFSOh50MblsxpC1ldoEl+NU3tdHu7DXN6wa8s03aU6mihLZ7b2UonkgAC1jY7z/0aO8VsYj7zg+zvtJAtbRoxHOxX1I9EnJ/EqpGIDvAHgWwCiA80qpn2ute63LBgF8Qms9rZR6EcD3AWRs5FGaUG0tmX5qitJrbc3YVjs9LMNCOCLdBaYq7LuuzLSqKuOBHh3l5ikp4WbPzyfj3blDjUOYZXaW6ui1a6ayc2Ym8UAThpANPDVFybm6atTRYBdi2Ve2BzzYB1De75lnjMki8FtVVaYY6fhxXmNTOtmTMobJSY5bTNzHHqM9HaxNsCHWd5MHYZNojqJ9SautmzcZjhQKtveSMuX5ec6HHKjBcHF7O53Aw8MmDCmZiOPjETDlewzm6SP5PwTgutZ6AACUUj8B8FkA7zO/1vr31vVvADiasRFuk2hC9lxIKamkdWpNSSVpna4MQB+STdLdTecMwE3nA+NcXW16x9vhr+FhMvdjj3GMUtQh0vTkSTqbbKapqOAzL14k47S1GaCSIEPI4VRXx40o9vrICNV0l6/IR0LbDHP4cCJqb1gxUjrpy3J/wU+oqzOeesFVdIX5Mgl3J5rj+fMMhUpashwCUksgzC3tvQSbcGOD/QuCadL2eCRqcv06tbeODn4vDL9xP8A8fZj/CACrMBSjiJbqfwbgl64/KKW+CuCrANAcxDj2oODJbTuLxKaanIzOGkuHNjeZH7C+zkV64w0+v6sr+t7NzcmZabW1hnEfeoj3m5xMvF+QaWZnjT3oAojMy+Mhd/486+RPnjRmCsDNODFh7Hm7ak/wD3wldDrFSOkWplVXc71sLUQgy6JAV2Xs4iiUBqTpCkgx88rK+Pz1da7T6dPUMIWB7fZeIyPmcC8t5XPFdxGsQmxvp8+noIBrL5ET+a5zrPsA5unD/MrxmXZeqNTTIPOfdf1da/190CRAV1eX8x5h5NKAgp1a7bjubhnf5aGtr+epPzNDZtracmtjYUU2L71E6b+8zI0VTPCxcwqKi8Or6STxyGaWwkJe39VFJhsZIeMXFiZX7b35Jv0L6VTBpZLmwfU5cYLv6luYlm4xm29Wnw/Jei0vUyKvrvLnzs7Ew1ApaoOSOt7ZaRKgALevZ3SUe1IqH6WYRxKQ5LtJtA9gnj7MPwqgyfr9KIBbwYuUUg8D+AGAF7XWGYUdCdOA4vG9a24aVnt965aJAYeF22Qj9/QYs6GjgwdGMEnHfrfjx8mkb79NxszPZzKNq697UDCcOJHoH2hpoZoeixn1FOD/c3PAj3/Md7p+nSr3zZuJvQ2CzCwm1txcYgORl15yr8+1a6lRd3yddS7yyerzvVeU6SG1BDYAi2gKQZ+Hy9dTXMzvnjhhDqnNTWphZWXmIJe1lfl4MK8SFXu1ubfJJ9R3HkC7UqpFKVUA4IsAfm5foJRqBvBPAL6stb6WsdFtU1g1nR2yyTTaql17bW8u2QypEjsAXnP6NPDRj/IeUegu8m6HDhnAkq4u/nzxItVJO9QlFXUSThSNYXU1dePKGzdYz1BebkA8+/sptcISb8S30tdn4MMFhae7270+Yag7mWgbJgy7umqSoOxYe6pkOBey8R/9EdXylpZk4Na+PpoAXV2cr7W1RJ9HWBViQQHXSXoDrK0xv2JpiSHcwkI6A197LXE+zk+3Y25sjzb3NqWU/FrrDaXUNwG8Cob6fqi1vqSU+tr2378H4C8B1AD4rmI624bW2jPIlprCNCBpceWrKtrSJgqdBkiuvV5aotNOmO6o5dKMSuxIZbIF3016+U1MRDvulKJmUVVlwlOSYCS59IBbXb96lYws9+7spAQTZCTbl2KPXToFBavsLlzgAWdTlIbqmpu5OYYpy8v5syQmRdnvktUX9K9EQZlL5EIOy6BnPmw/+fg8pApRnKK9vVT7Dx/m3ysqaOM/9BDf0zaZAOZkvD/fDdW4tvIEugo9N/cOyCvOr7X+BYBfBD77nvXznwP484yNKkBR9mYqVdG14FH2dFB1j8eZcDM3R1VQGmWWl/OED7OTfU224LtJLL+lxcSYxXF3+LBxmimXJ8bxucv/IIk0YRQ29rExmgbBz4H0zK/g/WdnqXmIypuXZ0qjb9zgAWcf0kDiIT48bDAI7FoKm2zTxE7ZlvFHga8AfhEMaVU2NMTPCwr4DpOTpmvU5CTH2GQZ0oKdEJzXu8t7G+s/EOm9O4E1m5pKTNnc2DALHouFo9PYc11dbTaRpGKKY0ygqFpb3WMJOofCEmKC7xaM5YvjTg4j2ZRbWzy4RkeN1/nMmeQcfZcj7bnn+D7Ly8Y+tZGRwja6oCYHP+/s5Bz4rk/w/iMjZGKB+ZJEn6Eh3sduZ37uHA+CxkYeIILDUFdHZpO5D1JYifPly3xuUVF0FyGfPVhdnYy8/fGP89qJCTJ9dbUpORey8RPsed0DzM4EOhDMH9zAgv9+/rxbZXd13X3nHUqteJxq7yOP8FpJHxWp7HJEbW0loinPzpLxb96kI88FxJHKORT2bq2tJiR46JBx3LmwBVZXeahIaKmvj98Pmz+h9nYeEnaTSRsZSZJSpqaMNK2uNuCfMl826ClgsBEkByAMQi3ISCINS0qMf6WoiOt04gQZSXwJQRX57l1WbpaXG0YMAoIGQUaVMnH6q1fpVAXCwVdc6xSmhc/N8b4LC+YzwXt4/nmzN+1mntXVxqzfY8zOBDoQzA+YyQ+GuFzedjtMV1HBxa6sJJN0dPAaFzqNUn5RhYoKMllHR3jGmIxPmKWxMRydN8iccgClqmE/d45qsaiYUQCXwee5mkza39GBQKxkKUYxgDT0qK8PXxv7feU+Ig3v3uW6FBcndmWy05lFRZZ4umh2S0uGWYIpz0GQ0bk5/q201Ph9VlaiwVfscYfR1BTHZGcAurowS2UfwD0kAsHXd5UpOjDML+TjSLOdM729VOsASpjGRkpgAak8c8Y4UuNx973Fyw/4ncwjI9QKDh2ihrGywu/YRSpR5BPyEhVzampnzV2iniGebZGuQKI0jfqeb16KFNv09ZEZ+/oMPt/KCrUtAUyx05nz8zkWCZsdPsy1nJ93+2BkTHaorabG4ArW1PBZrjLgdMmVAWh3YbYF10c/avaRzMc+YHYm0IFjfh88d4F9npvjBJeWUkWOxfg9AaKQ3nGCoXb+vLvmO92owtgYTQ45TOrrKXVE4mSKguYIkJnmLjvNL3E58oaHOW+XLiV68AHDCC0tBnFJ1qWsjD8H05mrqzmOggIyl6z18eM86ONxU2IsBUkiCCT5aW6O1335y2YcrpTpMArLUQjLAJRDMFXR1X7TgWN+WewoPHcpriktJWS0VGJ1dNDuD3qC7Xu7HFp5ebTZL1/mZ52d4eObmiLzr68blNreXm4KQXrdDQVx/tbXzWYLQ/tJtz7ENzc/eN+8PPM9KdFdWuJ1Ei5tbzcefLuO/+5damhaJ6b0Bk2gZ57hcxYW+L2qKuCFF+j4fOstSli7Hj8WM2OSLFBJ5hGfUTrZiFEp9zJv8pzZWZp9t25xfPPzPKSiiq72k7Ke+V2ZZqnw3KW45vZterUBxlalmCKMXB5dgZYeHuaiSfba8DDwuc8lb5K+Pkq3lRUu/uKiqQb0KWewQ5PBeDeQuPHW1wl6UVxMFdll9++kPsTHs+267/S08cRLF+KRkUQv/p07/L2/n1EHOSREhZ+YSByfSx12ofqOj5PxH3888VoBLpF3GR8nOtJjj/lnI9oUZdrY87a+bsLJ5eWmM49Un46NcY7uvz/joLzelNVgHq5MsGvXeAikwnOvqOBGy8/nJrx5k2i1YfFxwA0GIaGbqSnD/LdvA7/8JfCrXyXfQyrE8vKIiXfqFNVakXo+7zs5yfEuLlJqTE7y856exEw6wXmQ2H1hIc2AhgaTXReWHRmWfRc2D0HmcN23oYHzVVjI8Yujrq6OnxUWkvErK/lOwTr+1VVem2p8tbWci1//mrUJY2PuRqOHDpk+hPIuExNk/MZG//mw1+eNNxg5kqxLeY6NVixtz8vLjb+ispKH1rVr1CAFGer8eQNbtt+U1ZI/7JTVmqdlMNPMVkvn53my1tRQ/V9YINOeOhX9zKCkefVVMmA8zg1bUMB73r1LLL1PftIdghP7cnbWH1tA3ndwMDHeffcuDxBXJl1BAbWcJ580n9l2/07t91QOqFRZl4BRb4XsVmt1dVyzYB1/W1v0+AQ0s73d1BhMT1OrC8bLXYlgr766s/lwRQ3s1mSy9+RZtq9B0KDkd6UYYtSa8zA1BfzkJ8DXv773Hn6bslryh4Eu2k0RwtKeR0dNp5/FRf5/6hQ/T4cqK7nQU1NktIIC4yQsLEyWGAIXJaW7Dz/MGLoPopC8r11PIPBhdiadTfn5ZiO+/jr/Hx83mzEITir32G0CSar7yjw0NhrgipUVzsu77/KaWIzzOTGRmJsfNT45IKU7z9NPM2Lj2hNjYzx8bbBT17jHx6mpRIGi2lEDCUMWFfEgkr1n1wvcvMn7ApT4y8tcX1nXeJy+I0mzHhigX2k/Kaslf5jjSWzgVN73kpLE+OrSUjIsUyqS/O+BAYOQs7REle6BB6hdAInOtGBk4MgRP4ebvK9ICol3S7bg4iLVXTsnPT/faCTiZBoaAl55xYw/3exIoShHYar72unR4swrKKAWJZB0+fkmCUu85GGdboR86zwWFvhzURHNhPV1U11nJyq5fABBn0gwSai5mfMs+AF2MZTtj5H7NjQYNKiaGlZt3n9/Yp3G4cM0B6QuY49BfABkueT37Wnnos7ORPBJOXk7O9PvgffFL/L0npujlG1ooBpeU0NNIlidBnBDPP64KZ+9cIGMEFXBJu9rO9AmJ/lvbs5AQkkmnQCGnj1rCmLKy7nh7twx4xc79MYNlvAKY0S9d6rKOx+/gCQT/cVfAH/8x2TCU6eY8lpZaSS4+AmioL+FwjQOwTuUfP/Ll3kY1teTEQcGTN+HdHwAtrov1XzDw5z3Rx5hLYCg/AT9MY89ZpCI6uqIRPW1rxkYNCn+GRxMFHCZqHr0IaWDqVz7RF1dXbrbQ8+xT0CxlwQkwZaAkmZqn9avvUYGsgs+urpMf/pgimrUydrfnwiuWVtrPLxBmO7CwsQe3Fk1AAAT7ElEQVR68zAQB5dNHfT2j49zXCdOmLiwPOOJJ4wN64r1P/984n1deH1h7y2bL+hXCRu3D/mONYpc7zE+bqIMhw5RSzp/nmstTsflZe6BxsbEZ8mY5uYS80ZKS4EvfMHMgw0aIvBrx46Z+Uvn3X70I+Af/9HkKRQXc24/8xng85/nvpVaErsuxHfulVI9PlW1Wa32A+60Xp9e6GEprEGEHomNx+Ph8X/AYAj29PC0np3lhgpi24vzyJViDHCDPfRQuINJ3jfooLI3le2g8o3Jd3eHNzCVeQlDSXI9dycULHaqqCDjrq76q7auHHvRHGQONjaoRg8Pc64BMtrt2ya9WyiYNxKLMYKwsGBySFpakpOERN2X8aaDW3jkCA8mOVTicc51eXl6/SZ3S1nP/EJhVVlhvdABt8d6eJiboKeHCyjFHENDBqAzyt4SgA6RMAKd5eoQU1OTaL8XFfHQ8HG4yRiuXDHttl3pp+nE5EtL+fzr1+l0O3uW7zM1lZwHsLhIdTRVVaIvBYudpqbY4665mfD0YdV0LnJFZGzHcFkZmefaNVO5ODPj7nthoy1vbNBcUIrJYVL5KHkUkryzuMg1FUEAMOKyuWl8F1G+la0tvrMk/pSV8fsC6Cmw7dITAODnrn6Tu6EDw/xhjScl1urLUKOj3PxLSyYpBuCC9PTwALAdN+Pj3BxHj3Kh7M65QeisIJru0lIioKbWphd7lMPNNjGKikyq8pkzJrc96FiLcn729XFDCnpPdTXf5dw5Oi0ffTQZWOPqVT4rVVVi1FwHbXAJ9a2v0xsuSVv2uu0k1TUodZuaeMDffz/f4fZtAzkWPFgkIUzqBUpLeSBJ5qFoReXliWbG/LyZb1mzmhr+vrwcnSloh4MBkwkovSKam00TkKIi7pvJyYw37Dk4zG8vsG8v9CCJivu735EJFxa40ScnKQV7e40mIIs/MGAYdmSEKqGk6jY1JUJr2wtuY+KHofW6aGqKjB+PkzFWVkwn3YsX6WAKbiqXhmMz35UryYARBQW8Rhp32rUSt2+TaZ58MjVMt2v8No5CQwM39tWr5vBaXubfGhsT6x18zYowfEG5h6jRi4s8ZBobWY4clkknaMui6ot/pqyM45c1sM2MqSn+L5JZKQPXlerwCssEPHOG79XXR8EyO5tenki6dGCYfze90GWznDtHe0tCPLEY77W+TjVYVEc5RCT7zG5tvbXFjbG2xvEI3l7QPLAlssSxH3wwEcTBRX19iR17iov5szirfKRiMPW2sJDvJ624BMnm9Gky329+Q22ospKMYLdGk7lIVTBkM/3kJKX93bu898mT1JhGRw3wx9WrNLVqa6MRkcKeUVdnMAulWajk5+flkXHb2420DuueCyRDtgnzt7UZ7S1oZqyvJ9r3Ylr4NNK198aFC9yDYtaJNjk+nqhN+naeSocODPMH1VtXmywX2Yxw5AilmNhxhw/zVL99mxumuTkRAnt+3jhdFhf599FRLnB9PTewNAK9cIGb+ZlnEsc0O0uVt66On6eybWdmjMQXqRLmrAojF7LvxYs8wE6fNu3OpDpSQk2inivF94tqleWa46EhHsbd3Ryz9DG8cIHf7e01lXeFhTzQDh2iNiWNVsK0NxdAy6VLvL6kJLFZqITmfEqLAbO3YjFzsDz0kNH4jhzh53YBU35+4hqtrBgzyYdcmYBAcqOWvaztz+o4f5BkwqR4Q/Kio+KfNiM0N1OClZebXnm3bpm867o6MgpASVFaanIFRIoePcrvS8VaTQ03RyzGOLpEL2WzDgxws8Zipq3Y0BDbO7vGLmqspLtqbWrc5+b8chOCmZEVFWw7Ja2o8vPJmOPjjFU3NfFd19f5/7FjBnvOJ7/CjmzMzhq/wTvv8HAcHKRNfOwYnzE6ync7e5bazPo6taMo1dZ+ht3scmQkGa03LDM0VZPP554DvvENHpAbGwaH4R/+ITFPY3qaczg9zb9LToaYez4k++PKFe4ZG+shP5/m3fPP7426L3SgmB9IPwHC3ggCnywNEltbGcY5edLkDMjJu7pquv22tpKBxXn11FPceM3NLN4R9byy0pT9ujbr1hb9DdLa2TV2ac/e2mqcVbOzZJLCQr93diXC1NQwbm03fj161PgvjhxhKnJHB8fd1mZq58MSb2Qtzp3jIQcwpXZjw/xbXeW8LS2R+cvL+X9zswHReOopPj9qk8s6irMXMKnPQa1kNynNtoDZ3OQBaB/eGxvG33P6tDmkH300WesLI3sPnzzJg7K7m++4BwjdoXRg1H6hdNBigGRPsDhkqqvJ5AMDps+fIKrKySv5BX19XODpaS5KebnxzNpoNza5Qn3T09xQSoXjxdnmTX4+D5erV/ndwcFEEIieHt4nGJIMC/+5GDgsIhHVKgtwm1MLC6aS8vBhU9IsHv2tLR6oZWW8//y8GUMqxpR19Ime7CalWShVnsbyMjWFqNyQVPeW9ZfEszCH7l5R1jN/MOOtv5+L29xsmCDKS1xbm5yZZ7fOkrbUwtRSEBLsbWcfBHfvmkKOlRWqzzMz3ChPP83nujbrzIyp1GtrSwQCBQzzBhObVlf5jleuMMf8oYfIcJcuMVXWlZPugzyUbkQiCCQiYc/mZhMmk1bi0u5qbY2mVVUVNYuFBRMbB2i6yTOjsAftsTY1cR7EKXbiRDRG4E7s5t3maQTnK4j4E2zI2tXFse4nok9WM79s/s1NbjZBipG4d6oqsKkpk8wj0Fr19cDLL5P52tqSmVpScYO97WymAqgW/vM/0xaMxUy/POln72KslRUyysmTZJBXX6VaX1jI5924kdj+WyREcTEZX2L0t27x95aWcA3IFwdQmCTYP9CeQzl87UYX771nqg3FnBoepi/lwx82CLZ37phIweQk7ymq7d27PBA+8hGDvBNm48pYu7t50LS0UPLm57s9+bvFxEtH03CRD+KPTzbgXlJWM7+rvv3YMW6ylhaDmz8+7u5C291tIKME6urKFeA732EM2+4Ik66nuLqaG2N9PTkLzga6tBnr2We5UZeWCAZy6xbfqaGBB9PCgklLBoyE0NqondI0ZHk5ucnjTtJvw5gkqu/BoUP8TPLhJfOttZVmyuamQetpbuYzNjZYzQaQ4QsLDXKuqxdh2FgrKhizt1uFS3q2xMkzUQnnOrwlouDTqt0X8UfCzn19xuzciwo+F2U188vml5AbYBxeZWXUBu67z3RBDUrq7m5+d2SEm7migsx644bxaE9NGWkTLN0U+zqMqbSOBtB0MVZVFYEcpeAHMHH3/n5qKOXl3AC24+rBB+kRl25B99+fCG8N7F56iJQfHqZHfmsrse9BWxvfTQ7f+XmuhQ18Ke/7s59xriVsVlFBFR+g1vT666lTtF1q88wM50oaqFZU8CD81a84Nw0NmWln76MVRVFUbYR978HB5CK13Yw7Hcpq5g+rb5eSWol7B7vQAlT3h4b43dVVMtrgoEFTlYVoaUk8jQWpZXqaG76+nhusri4x1mszZzrqW3U1mbe4OLFWQWCv6uqMN19qz+NxAwtWVUWVc2mJ415cJJPZkikVbr+LXIVTvb2U0mVlnJe33uJ7K2UaUJaVue1qiR7YB6OdZZgqRTtMbY7F+K4SQQH4jK0tfkey+Hw0ibB58NEeUl0neyOooUhTFVsw1Nf7O7AzSVkd6nPVt0tsXcIhYTHd3l4yz/q6sU3X1niP++5LRMiZmUlEarl7lwdFXh7/Nj5uHFN2qK22dmd4A3NzJr69vs7vKMX/W1vNoSDM3NpK38Dmpkk+EaflygprDwDT9XUntd+uwqmqKgNWUljI97ahuIqLWRvgike7wm35+QZqy0a3EbQle+7CsAeVMvkHgtOwvMyxBlOYfbr12uQbRva5rr2d+6a723QRnpszeJBCO8lJyBRlNfPL6VhXR0lSUkKpOTFhmkgo5Y7pAoy9NjRwk0hIb2HBZPaVlSVW4YnzSoo4JF9bni+twoLM6QtEIVRWZlpMbW2ZBiL19UabsUEhg8kn8hzpIf+JT1CVFoAMX0BKm+xNKFK5qYkb+NIlhhuLijjvxcXczGfOJHf2EXIBsYhTbnHRpGjPztL3IUk0QDRQppTSbm0lArhWVoZj+PmSL9ipfd3cHAXFpUsGlx/ge1ZV8T2np6naa82fJZcf2DuYNR/yUvuVUi8A+GuwRfcPtNbfDvxdbf/90wCWAPwHrfUfMjFAu759asr0kBPv/d27nNRjx7jhpOpNAB07Oqh2LS9zIaRssrmZammwCq+khPfr7CQDFBQYn4OrCGUnXuXmZmOvDg5SMlRVcaxh6bRhz0m37j5MXbVNmMpK5uRPT5PBiovJDLW1TAx6/HFT2lpa6n6OK9wmjkz5rKAgUQPq76emIfUaYUCZ7e3UgmxAj6oqoz3tNLbvO5d245go2PGtLY710iX+XlTEffjmm8ZpmImchJ1SSsmvlIoB+A6AFwF0AnhZKRVsW/EigPbtf18F8HcZHicA472PxbgRhocNKCNAJ9LqqolTLy5Scj36KOPvx47x54oKg5wqC2VLKjutt6nJwITbPeN2czpLFt+pU4QI+9KXKPWPH08friwdyRGlrsr7j41xjgVRV5BmPv95qvjSndhnjHIA2GaB/ZlSZKxYjM+JxYh7NzoaDZTpghB79llm2KWrhe1kLuW6VLDjlZWJ/gmp0RcUKHuOdjPunZKP5P8QgOta6wEAUEr9BMBnAVipGvgsgP+liQn2hlKqUinVqLUey+RgL182m7G/n8xYWkob8JlnDMyUTNwTT3DT5OWZJBNh/GBChS2pSkoSE39qaqhltLT4t3SKIleR0iuv+HeNsSkdyZEqO/KJJ4yXXjDt7ruPTLi5aWL5Yd2J06XeXrOeAP+Px2kGPPVUNHJOmCa0GyeZ71zKdalgx9vbCe9eX2+agS4v029j2/S7zUnYKfkw/xEAI9bvowCCQ3VdcwRARpnfJpHQkmYLJKto1dVMOAli0YVJxqCJkQnmDCPXgu+kc0s62Wyp1Nrq6mQvve2RT9WdOBMkCL5AInKOfajvFfnOpVwnbb/q6oz/xe4fIdcNDBjNsa2NB1yYubSf5MP8rh43QTePzzVQSn0VNAvQ7NO7KkCdnXQMKWXw7dfWjOrpYuqd2lSZYs79IF/J4ROazARoii91dDDxRzIqBTRDwo37bQMD/nNZXc3aBxtM1DU/XV3J/on9fJ8o8vH2jwJosn4/CuDWDq6B1vr7WusurXVXnQ2o70lnztBuF3grCfEISIXLBv0gbapsIx8odPsa8cjbTUoyOXddXfRzbG5SK9nc5AH/8ssHY7189lY277+U0N1KqTiAawA+BeAmgPMAvqS1vmRd8xkA3wS9/U8A+But9Yei7usL3R2kIDacxHv3qrHBvzfySWLZj4YRH8Sz7hXyhe72wu1XSn0awF+Bob4faq3/h1LqawCgtf7edqjvbwG8AIb6vqK1juTsnTJ/jnKUo2jKKG6/1voXAH4R+Ox71s8awDfSHWSOcpSjD46yOsMvRznK0d5RjvlzlKN7lHLMn6Mc3aOUY/4c5egepRzz5yhH9yjlmD9HObpHKcf8OcrRPUpeST578mClJgEMeV5eC+DOHg5np5St4wKyd2zZOi7g38/YjmmtU+bPf2DMnw4ppbp9Mpb2m7J1XED2ji1bxwXce2PLqf05ytE9Sjnmz1GO7lE6KMz//Q96ACGUreMCsnds2Tou4B4b24Gw+XOUoxxlng6K5M9RjnKUYcoa5ldKvaCUuqqUuq6U+s+Ovyul1N9s//1dpdRjWTS2V7bH9K5S6vdKqUeyZWzWdY8rpTaVUl/IlnEppZ5SSr2tlLqklPrNfozLZ2xKqQql1P9RSr2zPbav7NO4fqiUmlBKXQz5e2Z5QGv9gf8DQUL6AbQCKADwDoDOwDWfBvBLEC/wwwDezKKxfQRA1fbPL2bT2KzrfgViMnwhG8YFoBJEgG7e/v1wtswZgP8C4H9u/1wHYApAwT6M7eMAHgNwMeTvGeWBbJH878ODa63XAAg8uE3vw4Nrrd8AUKmUasyGsWmtf6+13u67gzdADMP9IJ95A4D/COB/A5jIonF9CcA/aa2HAUBrnU1j0wDKthGqSkHm39jrgWmtf7v9rDDKKA9kC/OHQX+ne81eULrP/TPwdN4PSjk2pdQRAJ8D8D3sH/nM2QkAVUqpf1VK9Sil/iSLxva3ADpAENr3APwnrfXW/gwvkjLKA9nSpTdj8OB7QN7PVUo9DTL/2T0dkfVIx2fBsf0VgG9prTeVcl2+J+QzrjiAMyAwbDGA15VSb2itr2XB2J4H8DaATwJoA/CaUup3Wuu5pG/uL2WUB7KF+TMGD74H5PVcpdTDAH4A4EWtdUinvA9kbF0AfrLN+LUAPq2U2tBa/+wDHtcogDta60UAi0qp3wJ4BESK3kvyGdtXAHxb09C+rpQaBPAggLf2eGypKLM8sB9OFg9HRxzAAIAWGCfMQ4FrPoNEZ8dbWTS2ZgDXAXwk2+YtcP2PsD8OP5856wDw/7avPQTgIoCTWTK2vwPw37Z/rgch62v3aU2PI9zhl1EeyArJr7XeUEp9E8CrMPDgl2x4cNBT/WmQyZbA0zlbxvaXAGoAfHdbwm7ofSgQ8RzbvpPPuLTWl5VS/xfAuwC2wO7PzhDXfo8NwH8H8COl1Hsgo31La73n1X5KqR8DeApArVJqFMB/BZBvjSujPJDL8MtRju5RyhZvf45ylKN9phzz5yhH9yjlmD9HObpHKcf8OcrRPUo55s9Rju5RyjF/jnJ0j1KO+XOUo3uUcsyfoxzdo/T/AUC7Rv8D5vBgAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "np.random.seed(seed=42)\n", + "N = 1000\n", + "x = np.random.uniform(size=N, low=0, high=1)\n", + "y = np.random.uniform(size=N, low=0, high=1)\n", + "accept = (x*x+y*y) <= 1\n", + "reject = np.logical_not(accept)\n", + "fig, ax = plt.subplots(1)\n", + "ax.scatter(x[accept], y[accept], c='b', alpha=0.2, edgecolor=None)\n", + "ax.scatter(x[reject], y[reject], c='r', alpha=0.2, edgecolor=None)\n", + "ax.set_aspect('equal')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "l est alors aisé d’obtenir une approximation (pas terrible) de π en comptant combien de fois,\n", + "en moyenne, X² + Y² est inférieur à 1 :" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.112" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4*np.mean(accept)" + ] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3", @@ -16,10 +156,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 } - diff --git a/module3/exo1/analyse-syndrome-grippal.ipynb b/module3/exo1/analyse-syndrome-grippal.ipynb index 59d72b5..e2db384 100644 --- a/module3/exo1/analyse-syndrome-grippal.ipynb +++ b/module3/exo1/analyse-syndrome-grippal.ipynb @@ -9,7 +9,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -28,10 +28,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 2, + "metadata": {}, "outputs": [], "source": [ "data_url = \"http://www.sentiweb.fr/datasets/incidence-PAY-3.csv\"" @@ -61,11 +59,1073 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "pandas.core.frame.DataFrame" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "raw_data = pd.read_csv(data_url, skiprows=1)\n", + "type(raw_data)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "got here\n" + ] + }, + { + "data": { + "text/html": [ + "
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Unnamed: 0weekindicatorincinc_lowinc_upinc100inc100_lowinc100_upgeo_inseegeo_name
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101020222031978715756.023818.03024.036.0FRFrance
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1970 rows × 11 columns

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" + ], + "text/plain": [ + " Unnamed: 0 week indicator inc inc_low inc_up inc100 \\\n", + "0 0 202230 3 20468 15330.0 25606.0 31 \n", + "1 1 202229 3 24279 18914.0 29644.0 37 \n", + "2 2 202228 3 24845 19214.0 30476.0 37 \n", + "3 3 202227 3 40745 33994.0 47496.0 61 \n", + "4 4 202226 3 34010 28521.0 39499.0 51 \n", + "5 5 202225 3 23377 19042.0 27712.0 35 \n", + "6 6 202224 3 26328 21829.0 30827.0 40 \n", + "7 7 202223 3 23430 18950.0 27910.0 35 \n", + "8 8 202222 3 18951 15099.0 22803.0 29 \n", + "9 9 202221 3 13632 10251.0 17013.0 21 \n", + "10 10 202220 3 19787 15756.0 23818.0 30 \n", + "11 11 202219 3 17884 14079.0 21689.0 27 \n", + "12 12 202218 3 30353 25089.0 35617.0 46 \n", + "13 13 202217 3 36006 30373.0 41639.0 54 \n", + "14 14 202216 3 49949 42836.0 57062.0 75 \n", + "15 15 202215 3 100806 90824.0 110788.0 152 \n", + "16 16 202214 3 155441 143891.0 166991.0 234 \n", + "17 17 202213 3 191914 179558.0 204270.0 289 \n", + "18 18 202212 3 166224 155035.0 177413.0 251 \n", + "19 19 202211 3 122849 113306.0 132392.0 185 \n", + "20 20 202210 3 87904 79741.0 96067.0 133 \n", + "21 21 202209 3 50182 43958.0 56406.0 76 \n", + "22 22 202208 3 30963 25942.0 35984.0 47 \n", + "23 23 202207 3 34882 29446.0 40318.0 53 \n", + "24 24 202206 3 46623 40398.0 52848.0 70 \n", + "25 25 202205 3 62970 56043.0 69897.0 95 \n", + "26 26 202204 3 72209 64804.0 79614.0 109 \n", + "27 27 202203 3 74613 67144.0 82082.0 113 \n", + "28 28 202202 3 55920 49511.0 62329.0 84 \n", + "29 29 202201 3 57629 50699.0 64559.0 87 \n", + "... ... ... ... ... ... ... ... \n", + "1940 1940 198521 3 26096 19621.0 32571.0 47 \n", + "1941 1941 198520 3 27896 20885.0 34907.0 51 \n", + "1942 1942 198519 3 43154 32821.0 53487.0 78 \n", + "1943 1943 198518 3 40555 29935.0 51175.0 74 \n", + "1944 1944 198517 3 34053 24366.0 43740.0 62 \n", + "1945 1945 198516 3 50362 36451.0 64273.0 91 \n", + "1946 1946 198515 3 63881 45538.0 82224.0 116 \n", + "1947 1947 198514 3 134545 114400.0 154690.0 244 \n", + "1948 1948 198513 3 197206 176080.0 218332.0 357 \n", + "1949 1949 198512 3 245240 223304.0 267176.0 445 \n", + "1950 1950 198511 3 276205 252399.0 300011.0 501 \n", + "1951 1951 198510 3 353231 326279.0 380183.0 640 \n", + "1952 1952 198509 3 369895 341109.0 398681.0 670 \n", + "1953 1953 198508 3 389886 359529.0 420243.0 707 \n", + "1954 1954 198507 3 471852 432599.0 511105.0 855 \n", + "1955 1955 198506 3 565825 518011.0 613639.0 1026 \n", + "1956 1956 198505 3 637302 592795.0 681809.0 1155 \n", + "1957 1957 198504 3 424937 390794.0 459080.0 770 \n", + "1958 1958 198503 3 213901 174689.0 253113.0 388 \n", + "1959 1959 198502 3 97586 80949.0 114223.0 177 \n", + "1960 1960 198501 3 85489 65918.0 105060.0 155 \n", + "1961 1961 198452 3 84830 60602.0 109058.0 154 \n", + "1962 1962 198451 3 101726 80242.0 123210.0 185 \n", + "1963 1963 198450 3 123680 101401.0 145959.0 225 \n", + "1964 1964 198449 3 101073 81684.0 120462.0 184 \n", + "1965 1965 198448 3 78620 60634.0 96606.0 143 \n", + "1966 1966 198447 3 72029 54274.0 89784.0 131 \n", + "1967 1967 198446 3 87330 67686.0 106974.0 159 \n", + "1968 1968 198445 3 135223 101414.0 169032.0 246 \n", + "1969 1969 198444 3 68422 20056.0 116788.0 125 \n", + "\n", + " inc100_low inc100_up geo_insee geo_name \n", + "0 23.0 39.0 FR France \n", + "1 29.0 45.0 FR France \n", + "2 29.0 45.0 FR France \n", + "3 51.0 71.0 FR France \n", + "4 43.0 59.0 FR France \n", + "5 28.0 42.0 FR France \n", + "6 33.0 47.0 FR France \n", + "7 28.0 42.0 FR France \n", + "8 23.0 35.0 FR France \n", + "9 16.0 26.0 FR France \n", + "10 24.0 36.0 FR France \n", + "11 21.0 33.0 FR France \n", + "12 38.0 54.0 FR France \n", + "13 46.0 62.0 FR France \n", + "14 64.0 86.0 FR France \n", + "15 137.0 167.0 FR France \n", + "16 217.0 251.0 FR France \n", + "17 270.0 308.0 FR France \n", + "18 234.0 268.0 FR France \n", + "19 171.0 199.0 FR France \n", + "20 121.0 145.0 FR France \n", + "21 67.0 85.0 FR France \n", + "22 39.0 55.0 FR France \n", + "23 45.0 61.0 FR France \n", + "24 61.0 79.0 FR France \n", + "25 85.0 105.0 FR France \n", + "26 98.0 120.0 FR France \n", + "27 102.0 124.0 FR France \n", + "28 74.0 94.0 FR France \n", + "29 77.0 97.0 FR France \n", + "... ... ... ... ... \n", + "1940 35.0 59.0 FR France \n", + "1941 38.0 64.0 FR France \n", + "1942 59.0 97.0 FR France \n", + "1943 55.0 93.0 FR France \n", + "1944 44.0 80.0 FR France \n", + "1945 66.0 116.0 FR France \n", + "1946 83.0 149.0 FR France \n", + "1947 207.0 281.0 FR France \n", + "1948 319.0 395.0 FR France \n", + "1949 405.0 485.0 FR France \n", + "1950 458.0 544.0 FR France \n", + "1951 591.0 689.0 FR France \n", + "1952 618.0 722.0 FR France \n", + "1953 652.0 762.0 FR France \n", + "1954 784.0 926.0 FR France \n", + "1955 939.0 1113.0 FR France \n", + "1956 1074.0 1236.0 FR France \n", + "1957 708.0 832.0 FR France \n", + "1958 317.0 459.0 FR France \n", + "1959 147.0 207.0 FR France \n", + "1960 120.0 190.0 FR France \n", + "1961 110.0 198.0 FR France \n", + "1962 146.0 224.0 FR France \n", + "1963 184.0 266.0 FR France \n", + "1964 149.0 219.0 FR France \n", + "1965 110.0 176.0 FR France \n", + "1966 99.0 163.0 FR France \n", + "1967 123.0 195.0 FR France \n", + "1968 184.0 308.0 FR France \n", + "1969 37.0 213.0 FR France \n", + "\n", + "[1970 rows x 11 columns]" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from os.path import exists\n", + "\n", + "if not exists(\"data_csv.csv\"):\n", + " raw_data = pd.read_csv(data_url, skiprows=1)\n", + " raw_data.to_csv(\"data_csv.csv\")\n", + "else:\n", + " raw_data = pd.read_csv(\"data_csv.csv\")\n", "raw_data" ] }, @@ -78,9 +1138,73 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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weekindicatorincinc_lowinc_upinc100inc100_lowinc100_upgeo_inseegeo_name
173319891930NaNNaN0NaNNaNFRFrance
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" + ], + "text/plain": [ + " week indicator inc inc_low inc_up inc100 inc100_low inc100_up \\\n", + "1733 198919 3 0 NaN NaN 0 NaN NaN \n", + "\n", + " geo_insee geo_name \n", + "1733 FR France " + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "raw_data[raw_data.isnull().any(axis=1)]" ] @@ -94,9 +1218,976 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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1969 rows × 10 columns

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+ "1969 213.0 FR France \n", + "\n", + "[1969 rows x 10 columns]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "data = raw_data.dropna().copy()\n", "data" @@ -122,9 +2213,1038 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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weekindicatorincinc_lowinc_upinc100inc100_lowinc100_upgeo_inseegeo_nameperiod
020223032046815330.025606.03123.039.0FRFrance2022-07-25/2022-07-31
120222932427918914.029644.03729.045.0FRFrance2022-07-18/2022-07-24
220222832484519214.030476.03729.045.0FRFrance2022-07-11/2022-07-17
320222734074533994.047496.06151.071.0FRFrance2022-07-04/2022-07-10
420222633401028521.039499.05143.059.0FRFrance2022-06-27/2022-07-03
520222532337719042.027712.03528.042.0FRFrance2022-06-20/2022-06-26
620222432632821829.030827.04033.047.0FRFrance2022-06-13/2022-06-19
720222332343018950.027910.03528.042.0FRFrance2022-06-06/2022-06-12
820222231895115099.022803.02923.035.0FRFrance2022-05-30/2022-06-05
920222131363210251.017013.02116.026.0FRFrance2022-05-23/2022-05-29
1020222031978715756.023818.03024.036.0FRFrance2022-05-16/2022-05-22
1120221931788414079.021689.02721.033.0FRFrance2022-05-09/2022-05-15
1220221833035325089.035617.04638.054.0FRFrance2022-05-02/2022-05-08
1320221733600630373.041639.05446.062.0FRFrance2022-04-25/2022-05-01
1420221634994942836.057062.07564.086.0FRFrance2022-04-18/2022-04-24
15202215310080690824.0110788.0152137.0167.0FRFrance2022-04-11/2022-04-17
162022143155441143891.0166991.0234217.0251.0FRFrance2022-04-04/2022-04-10
172022133191914179558.0204270.0289270.0308.0FRFrance2022-03-28/2022-04-03
182022123166224155035.0177413.0251234.0268.0FRFrance2022-03-21/2022-03-27
192022113122849113306.0132392.0185171.0199.0FRFrance2022-03-14/2022-03-20
2020221038790479741.096067.0133121.0145.0FRFrance2022-03-07/2022-03-13
2120220935018243958.056406.07667.085.0FRFrance2022-02-28/2022-03-06
2220220833096325942.035984.04739.055.0FRFrance2022-02-21/2022-02-27
2320220733488229446.040318.05345.061.0FRFrance2022-02-14/2022-02-20
2420220634662340398.052848.07061.079.0FRFrance2022-02-07/2022-02-13
2520220536297056043.069897.09585.0105.0FRFrance2022-01-31/2022-02-06
2620220437220964804.079614.010998.0120.0FRFrance2022-01-24/2022-01-30
2720220337461367144.082082.0113102.0124.0FRFrance2022-01-17/2022-01-23
2820220235592049511.062329.08474.094.0FRFrance2022-01-10/2022-01-16
2920220135762950699.064559.08777.097.0FRFrance2022-01-03/2022-01-09
....................................
194019852132609619621.032571.04735.059.0FRFrance1985-05-20/1985-05-26
194119852032789620885.034907.05138.064.0FRFrance1985-05-13/1985-05-19
194219851934315432821.053487.07859.097.0FRFrance1985-05-06/1985-05-12
194319851834055529935.051175.07455.093.0FRFrance1985-04-29/1985-05-05
194419851733405324366.043740.06244.080.0FRFrance1985-04-22/1985-04-28
194519851635036236451.064273.09166.0116.0FRFrance1985-04-15/1985-04-21
194619851536388145538.082224.011683.0149.0FRFrance1985-04-08/1985-04-14
19471985143134545114400.0154690.0244207.0281.0FRFrance1985-04-01/1985-04-07
19481985133197206176080.0218332.0357319.0395.0FRFrance1985-03-25/1985-03-31
19491985123245240223304.0267176.0445405.0485.0FRFrance1985-03-18/1985-03-24
19501985113276205252399.0300011.0501458.0544.0FRFrance1985-03-11/1985-03-17
19511985103353231326279.0380183.0640591.0689.0FRFrance1985-03-04/1985-03-10
19521985093369895341109.0398681.0670618.0722.0FRFrance1985-02-25/1985-03-03
19531985083389886359529.0420243.0707652.0762.0FRFrance1985-02-18/1985-02-24
19541985073471852432599.0511105.0855784.0926.0FRFrance1985-02-11/1985-02-17
19551985063565825518011.0613639.01026939.01113.0FRFrance1985-02-04/1985-02-10
19561985053637302592795.0681809.011551074.01236.0FRFrance1985-01-28/1985-02-03
19571985043424937390794.0459080.0770708.0832.0FRFrance1985-01-21/1985-01-27
19581985033213901174689.0253113.0388317.0459.0FRFrance1985-01-14/1985-01-20
195919850239758680949.0114223.0177147.0207.0FRFrance1985-01-07/1985-01-13
196019850138548965918.0105060.0155120.0190.0FRFrance1984-12-31/1985-01-06
196119845238483060602.0109058.0154110.0198.0FRFrance1984-12-24/1984-12-30
1962198451310172680242.0123210.0185146.0224.0FRFrance1984-12-17/1984-12-23
19631984503123680101401.0145959.0225184.0266.0FRFrance1984-12-10/1984-12-16
1964198449310107381684.0120462.0184149.0219.0FRFrance1984-12-03/1984-12-09
196519844837862060634.096606.0143110.0176.0FRFrance1984-11-26/1984-12-02
196619844737202954274.089784.013199.0163.0FRFrance1984-11-19/1984-11-25
196719844638733067686.0106974.0159123.0195.0FRFrance1984-11-12/1984-11-18
19681984453135223101414.0169032.0246184.0308.0FRFrance1984-11-05/1984-11-11
196919844436842220056.0116788.012537.0213.0FRFrance1984-10-29/1984-11-04
\n", + "

1969 rows × 11 columns

\n", + "
" + ], + "text/plain": [ + " week indicator inc inc_low inc_up inc100 inc100_low \\\n", + "0 202230 3 20468 15330.0 25606.0 31 23.0 \n", + "1 202229 3 24279 18914.0 29644.0 37 29.0 \n", + "2 202228 3 24845 19214.0 30476.0 37 29.0 \n", + "3 202227 3 40745 33994.0 47496.0 61 51.0 \n", + "4 202226 3 34010 28521.0 39499.0 51 43.0 \n", + "5 202225 3 23377 19042.0 27712.0 35 28.0 \n", + "6 202224 3 26328 21829.0 30827.0 40 33.0 \n", + "7 202223 3 23430 18950.0 27910.0 35 28.0 \n", + "8 202222 3 18951 15099.0 22803.0 29 23.0 \n", + "9 202221 3 13632 10251.0 17013.0 21 16.0 \n", + "10 202220 3 19787 15756.0 23818.0 30 24.0 \n", + "11 202219 3 17884 14079.0 21689.0 27 21.0 \n", + "12 202218 3 30353 25089.0 35617.0 46 38.0 \n", + "13 202217 3 36006 30373.0 41639.0 54 46.0 \n", + "14 202216 3 49949 42836.0 57062.0 75 64.0 \n", + "15 202215 3 100806 90824.0 110788.0 152 137.0 \n", + "16 202214 3 155441 143891.0 166991.0 234 217.0 \n", + "17 202213 3 191914 179558.0 204270.0 289 270.0 \n", + "18 202212 3 166224 155035.0 177413.0 251 234.0 \n", + "19 202211 3 122849 113306.0 132392.0 185 171.0 \n", + "20 202210 3 87904 79741.0 96067.0 133 121.0 \n", + "21 202209 3 50182 43958.0 56406.0 76 67.0 \n", + "22 202208 3 30963 25942.0 35984.0 47 39.0 \n", + "23 202207 3 34882 29446.0 40318.0 53 45.0 \n", + "24 202206 3 46623 40398.0 52848.0 70 61.0 \n", + "25 202205 3 62970 56043.0 69897.0 95 85.0 \n", + "26 202204 3 72209 64804.0 79614.0 109 98.0 \n", + "27 202203 3 74613 67144.0 82082.0 113 102.0 \n", + "28 202202 3 55920 49511.0 62329.0 84 74.0 \n", + "29 202201 3 57629 50699.0 64559.0 87 77.0 \n", + "... ... ... ... ... ... ... ... \n", + "1940 198521 3 26096 19621.0 32571.0 47 35.0 \n", + "1941 198520 3 27896 20885.0 34907.0 51 38.0 \n", + "1942 198519 3 43154 32821.0 53487.0 78 59.0 \n", + "1943 198518 3 40555 29935.0 51175.0 74 55.0 \n", + "1944 198517 3 34053 24366.0 43740.0 62 44.0 \n", + "1945 198516 3 50362 36451.0 64273.0 91 66.0 \n", + "1946 198515 3 63881 45538.0 82224.0 116 83.0 \n", + "1947 198514 3 134545 114400.0 154690.0 244 207.0 \n", + "1948 198513 3 197206 176080.0 218332.0 357 319.0 \n", + "1949 198512 3 245240 223304.0 267176.0 445 405.0 \n", + "1950 198511 3 276205 252399.0 300011.0 501 458.0 \n", + "1951 198510 3 353231 326279.0 380183.0 640 591.0 \n", + "1952 198509 3 369895 341109.0 398681.0 670 618.0 \n", + "1953 198508 3 389886 359529.0 420243.0 707 652.0 \n", + "1954 198507 3 471852 432599.0 511105.0 855 784.0 \n", + "1955 198506 3 565825 518011.0 613639.0 1026 939.0 \n", + "1956 198505 3 637302 592795.0 681809.0 1155 1074.0 \n", + "1957 198504 3 424937 390794.0 459080.0 770 708.0 \n", + "1958 198503 3 213901 174689.0 253113.0 388 317.0 \n", + "1959 198502 3 97586 80949.0 114223.0 177 147.0 \n", + "1960 198501 3 85489 65918.0 105060.0 155 120.0 \n", + "1961 198452 3 84830 60602.0 109058.0 154 110.0 \n", + "1962 198451 3 101726 80242.0 123210.0 185 146.0 \n", + "1963 198450 3 123680 101401.0 145959.0 225 184.0 \n", + "1964 198449 3 101073 81684.0 120462.0 184 149.0 \n", + "1965 198448 3 78620 60634.0 96606.0 143 110.0 \n", + "1966 198447 3 72029 54274.0 89784.0 131 99.0 \n", + "1967 198446 3 87330 67686.0 106974.0 159 123.0 \n", + "1968 198445 3 135223 101414.0 169032.0 246 184.0 \n", + "1969 198444 3 68422 20056.0 116788.0 125 37.0 \n", + "\n", + " inc100_up geo_insee geo_name period \n", + "0 39.0 FR France 2022-07-25/2022-07-31 \n", + "1 45.0 FR France 2022-07-18/2022-07-24 \n", + "2 45.0 FR France 2022-07-11/2022-07-17 \n", + "3 71.0 FR France 2022-07-04/2022-07-10 \n", + "4 59.0 FR France 2022-06-27/2022-07-03 \n", + "5 42.0 FR France 2022-06-20/2022-06-26 \n", + "6 47.0 FR France 2022-06-13/2022-06-19 \n", + "7 42.0 FR France 2022-06-06/2022-06-12 \n", + "8 35.0 FR France 2022-05-30/2022-06-05 \n", + "9 26.0 FR France 2022-05-23/2022-05-29 \n", + "10 36.0 FR France 2022-05-16/2022-05-22 \n", + "11 33.0 FR France 2022-05-09/2022-05-15 \n", + "12 54.0 FR France 2022-05-02/2022-05-08 \n", + "13 62.0 FR France 2022-04-25/2022-05-01 \n", + "14 86.0 FR France 2022-04-18/2022-04-24 \n", + "15 167.0 FR France 2022-04-11/2022-04-17 \n", + "16 251.0 FR France 2022-04-04/2022-04-10 \n", + "17 308.0 FR France 2022-03-28/2022-04-03 \n", + "18 268.0 FR France 2022-03-21/2022-03-27 \n", + "19 199.0 FR France 2022-03-14/2022-03-20 \n", + "20 145.0 FR France 2022-03-07/2022-03-13 \n", + "21 85.0 FR France 2022-02-28/2022-03-06 \n", + "22 55.0 FR France 2022-02-21/2022-02-27 \n", + "23 61.0 FR France 2022-02-14/2022-02-20 \n", + "24 79.0 FR France 2022-02-07/2022-02-13 \n", + "25 105.0 FR France 2022-01-31/2022-02-06 \n", + "26 120.0 FR France 2022-01-24/2022-01-30 \n", + "27 124.0 FR France 2022-01-17/2022-01-23 \n", + "28 94.0 FR France 2022-01-10/2022-01-16 \n", + "29 97.0 FR France 2022-01-03/2022-01-09 \n", + "... ... ... ... ... \n", + "1940 59.0 FR France 1985-05-20/1985-05-26 \n", + "1941 64.0 FR France 1985-05-13/1985-05-19 \n", + "1942 97.0 FR France 1985-05-06/1985-05-12 \n", + "1943 93.0 FR France 1985-04-29/1985-05-05 \n", + "1944 80.0 FR France 1985-04-22/1985-04-28 \n", + "1945 116.0 FR France 1985-04-15/1985-04-21 \n", + "1946 149.0 FR France 1985-04-08/1985-04-14 \n", + "1947 281.0 FR France 1985-04-01/1985-04-07 \n", + "1948 395.0 FR France 1985-03-25/1985-03-31 \n", + "1949 485.0 FR France 1985-03-18/1985-03-24 \n", + "1950 544.0 FR France 1985-03-11/1985-03-17 \n", + "1951 689.0 FR France 1985-03-04/1985-03-10 \n", + "1952 722.0 FR France 1985-02-25/1985-03-03 \n", + "1953 762.0 FR France 1985-02-18/1985-02-24 \n", + "1954 926.0 FR France 1985-02-11/1985-02-17 \n", + "1955 1113.0 FR France 1985-02-04/1985-02-10 \n", + "1956 1236.0 FR France 1985-01-28/1985-02-03 \n", + "1957 832.0 FR France 1985-01-21/1985-01-27 \n", + "1958 459.0 FR France 1985-01-14/1985-01-20 \n", + "1959 207.0 FR France 1985-01-07/1985-01-13 \n", + "1960 190.0 FR France 1984-12-31/1985-01-06 \n", + "1961 198.0 FR France 1984-12-24/1984-12-30 \n", + "1962 224.0 FR France 1984-12-17/1984-12-23 \n", + "1963 266.0 FR France 1984-12-10/1984-12-16 \n", + "1964 219.0 FR France 1984-12-03/1984-12-09 \n", + "1965 176.0 FR France 1984-11-26/1984-12-02 \n", + "1966 163.0 FR France 1984-11-19/1984-11-25 \n", + "1967 195.0 FR France 1984-11-12/1984-11-18 \n", + "1968 308.0 FR France 1984-11-05/1984-11-11 \n", + "1969 213.0 FR France 1984-10-29/1984-11-04 \n", + "\n", + "[1969 rows x 11 columns]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "def convert_week(year_and_week_int):\n", " year_and_week_str = str(year_and_week_int)\n", @@ -133,7 +3253,8 @@ " w = isoweek.Week(year, week)\n", " return pd.Period(w.day(0), 'W')\n", "\n", - "data['period'] = [convert_week(yw) for yw in data['week']]" + "data['period'] = [convert_week(yw) for yw in data['week']]\n", + "data" ] }, { @@ -152,10 +3273,8 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, + "execution_count": 9, + "metadata": {}, "outputs": [], "source": [ "sorted_data = data.set_index('period').sort_index()" @@ -179,9 +3298,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1989-05-01/1989-05-07 1989-05-15/1989-05-21\n" + ] + } + ], "source": [ "periods = sorted_data.index\n", "for p1, p2 in zip(periods[:-1], periods[1:]):\n", @@ -199,9 +3326,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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4093uR6pa079LHXq+YKjTvFNwuH3DRoUbY1JBr0FDVV8hetvCEzH2uRG4MUp5KXBClPI24OIejrUSWNnbeaYCXyDUqREcrHrKGJNabER4ArUHQmSlezuVpYUbwq16yhiTAixoJFCbP9hzm4ZlGsaYFGBBI4HaAyEyu2QaHW0a1uXWGJMCLGgkULs/SFbXTMMmLDTGpBALGgnUFiXTsOopY0wqsaCRQO3+YLcut4dnubXqKWNM8rOgkUC+KL2nrHrKGJNKLGgkUFu0TMNrs9waY1KHBY0Eag90HxF+uE3DqqeMMcnPgkYCOUEjepdbq54yxqQCCxoJ1B4IkpXe+ZbbiHBjTCqxoJEgwZDiD2q3TCPNYw3hxpjUYUEjQdoDzkS/mV0yDREhw+vBb7PcGmNSgAWNBGn3O5lE1xHh4KzeZ9VTxphUYEEjQdo6Mg1vt/fSvB6rnjLGpAQLGgkSzjS6drkFp9utdbntmw/r22y1Q2OGQDzLvU4SkedFZJuIbBGRa9zyYhFZKyK73OeiiH2uE5EyEdkhIksjyueJyCb3vdvcZV9xl4Z90C1fJyJTIvZZ7v6OXSKynBTV7n7AdR0RDpDhFcs0+qDVF2TxzS9w3xvvD/WpGHPUiSfTCADfUdXjgUXA1SIyG7gWeFZVZwLPuj/jvrcMmAOcC9wuIuFPyjuAFTjrhs903we4EqhV1RnArcBN7rGKgeuBhcAC4PrI4JRK2vxu9VS0TCPNYyPC+2B3dRPNviA7PmwY6lMx5qjTa9BQ1UpVfdt93QhsAyYAFwCr3M1WARe6ry8AHlDVdlXdC5QBC0RkHFCgqq+rqgL3dtknfKxHgMVuFrIUWKuqNapaC6zlcKBJKeFMo2uXW3Cqp2zCwvjtrm4C4IOaliE+E2OOPn1q03CrjU4B1gFjVLUSnMACjHY3mwCUR+y2zy2b4L7uWt5pH1UNAPXAyBjHSjk9dbkFZ6yGTY0ev10HnKBRXtM6xGdizNEn7qAhInnAo8C3VDVWvYBEKdMY5f3dJ/LcVohIqYiUVldXxzi1oXO4y22UNo006z3VF7uqGgHYX99qjeHGJFhcQUNE0nECxp9V9S9u8QG3ygn3ucot3wdMith9IrDfLZ8YpbzTPiKSBowAamIcqxNVvVNV56vq/JKSknguKeHaYmQa6V6PLffaB7uqmvB6BFWoqLNsw5hEiqf3lAD3ANtU9ZaIt9YA4d5My4HVEeXL3B5RU3EavNe7VViNIrLIPeYVXfYJH+si4Dm33eNpYImIFLkN4EvcspQTu8utVU/FyxcI8f6hFuYd4/SHsHYNYxIrLY5tTgMuBzaJyAa37L+AnwEPiciVwAfAxQCqukVEHgK24vS8ulpVg+5+VwF/ArKBJ90HOEHpPhEpw8kwlrnHqhGRG4A33e1+pKo1/bzWIRWry22610NTeyDRp5SS3jvUTDCkLD5uNOv31lBuQcMkuXtff49WX5CvfXz6UJ/KgOg1aKjqK0RvWwBY3MM+NwI3RikvBU6IUt6GG3SivLcSWNnbeSa7mF1ubUR43MKN4KfNGEVGmseChkl6D5fuoz1wFAUNMzBid7kV/AFr04hHWVUTIjC9JI9JRdlWPWWS3v5h1u5mQSNBOrrc9pRphCzTiMeh5nZGZKeTneFlcnGOBQ2T1Nr8QQ41+/CIszyC19NTpU3qsLmnEqTNHyLD68ET5Y8mw6qn4tbcHiQ3w/muM7k4hw8OteD0mTAm+YR794UU6lp8Q3w2A8OCRoK0B4JRswxwMw2rnopLiy9AToZTxTeuMJvG9gAtvmAvexkzNCKrpmqaLWiYPmgPhKKO0QBnyVfLNOLT7AuSk+lkGkU56QDUDpNvcGb4iQwahyxomL5o94eiNoJDeGp0CxrxaPUFyHUzjaKcDADqWvxDeUrG9KiiNiJoNFnQMH3QFgj2mGlkpNmI8Hg1twfJcds0inKdoDFc0n4z/FTUtXVUS9c0tw/x2QwMCxoJEjvTsOqpeLX4AuRmds40rHrKJKv9da0cN64AsOop00ftgSBZPWQa6V4PgZASClm20ZtmX0SmEW7TGCb/Gc3wU1HXyuTiHApz0q16yvSNk2lEv93hDKTdZmztVUv74d5TI7LTEYFaa9MwSSgUUirrWxlfmEVxbsawqUa1oJEgTpfb6NVT4QwkPNWIiS4UUlr8wY6G8DSvh4KsdKueMknpYFM7/qAysTCbUbmZHGyyNg3TB+2BnjON8CSGrRY0YmoLBFGlo8stQHFuhmUaJimFB/aNG5FtmYbpuzZ/MOoMtwDZbrllGrE1tzv3J5xpABTmpFubhklK4TaMkvxMRuZZ0DB9FDvTCFdPWZtGLC0+Z/r4cEM4QHFOhlVPmaRU1+pkwIU56YzMzaCmxUdwGHR2saCRILFGhGeGM42AZRqxhKcLCXe5BWeshmUaJhmF55oqzM6gODcDHSbzT1nQSJB2fzDq+uAQUT1lcyjFFC3TKMpJtzYNk5TqW/2IQH5WGiPzMoHhMRA1nuVeV4pIlYhsjij7gYhUiMgG93FexHvXiUiZiOwQkaUR5fNEZJP73m3ukq+4y8I+6JavE5EpEfssF5Fd7iO8HGxKaouRaWRZphGXjjaNLplGqz9o7UEm6dS1+BmRnY7HI4x0Zy84OAzGasSTafwJODdK+a2qOtd9PAEgIrNxlmqd4+5zu4iE/4ffAazAWTN8ZsQxrwRqVXUGcCtwk3usYuB6YCGwALjeXSc85QSCIYIhjaPLrbVpxBLONLLTIzMNGxVuklNdq5/CbGcAanjKm6OiekpVX8JZtzseFwAPqGq7qu4FyoAFIjIOKFDV19VZ/OBe4MKIfVa5rx8BFrtZyFJgrarWqGotsJbowSvpHV4fvIdMI816T8UjaqaRY/NPmeRU1+JjhPv3mZ/lfNFpbAsM5SkNiCNp0/i6iGx0q6/CGcAEoDxim31u2QT3ddfyTvuoagCoB0bGOFbKObw+eA9tGhk2TiMePbVpgM10a5JPfUSmkZ/lPDe0pf7faX+Dxh3AdGAuUAnc7JZHW8tQY5T3d59ORGSFiJSKSGl1dXWs8x4Sh9cH7y3TsOqpWJqj9J4qtpluTZKqa/FT6H6pycs8yjMNVT2gqkFVDQF34bQ5gJMNTIrYdCKw3y2fGKW80z4ikgaMwKkO6+lY0c7nTlWdr6rzS0pK+nNJg6oj0+ixy61NIxKPlvYAInTqhVaYM3zqis3wUtfi68g0vB4hN8NLU/tRGjTcNoqwzwLhnlVrgGVuj6ipOA3e61W1EmgUkUVue8UVwOqIfcI9oy4CnnPbPZ4GlohIkVv9tcQtSznh8QWRDbiRMtM8iDjdck3Pmn1BctK9ndZZD3+Tq2lO/bTfDB/BkNLYHuho0wCniqpxGFRPRf8UiyAi9wOfAEaJyD6cHk2fEJG5ONVF7wFfA1DVLSLyELAVCABXq2r4k/AqnJ5Y2cCT7gPgHuA+ESnDyTCWuceqEZEbgDfd7X6kqvE2yCeVcAaRkxG9TUNEyErz0maz3MbU4gt0mncKnGnlR2Snc2iYLHBjhofGNj+qdGQa4DSGD4fqqV6DhqpeEqX4nhjb3wjcGKW8FDghSnkbcHEPx1oJrOztHJNdONPoKWiA07Oq1Qb3xdTiC0a9h6PyMobNDKJmeAh3zAhnwgB5wyRo2IjwBOionooZNLzWptGLyKVeI5XkZ3Kw0do0TPKInHcqLD8rncajtU3D9E2rv3tX0a6y0q16qjctvkCnGW7DRuVlUm2Zhkki4Y4ZI7Ij2zTShkWbhgWNBIivesoyjd40+4Ld2jQgnGlY0DDJoz5KplFg1VMmXuG2ip7W03De81jQ6EVLe/RMoyQ/k8b2gLUJmaTR0aaR3aV6yjINE4+4Mo00yzR64zSEd880RrkziFpjuEkW4aAxIiJo5GWm0eYP4Q+mdjW0BY0EaPEFSfcK6d6eb7eTaaT2H9Nga/YFOo0GDyvJd4KGtWuYZFHX6iM/M420iP/z4fmnmlK8isqCRgK0+gIda2b0JDvDMo3etPTUe8rNNKqtXcMkifoWPyMi2jPg8PxTqd6uYUEjAVr90T/sImWleW3Cwhj8wRC+YChqFV8407DqKZMs6lr9nRrB4XCmkeqTFlrQSICeBqVFykz3WvVUDLHahYpzMxCxTMMkj9oWX6f2DID8YTJpoQWNBGj1BWMO7AOnTcPmnupZg9uFsSArvdt76V4PRTk2Ktwkj5pmHyNzMzuVhaunUn3SQgsaCRBPppGd7rXlXmMI93vvWk8cVpKXaZmGSRoHG9s7evWFHV6IyaqnTC9a/EGye2vTSPfiDyqBFO+ON1ii9XuPNCo/w4KGSQqtviDNviAj8zI6lQ+X1fssaCRAqy9ATi+9pzrWCbepRKI6PMI2I+r7JXmZHGxypm5Q1ZRvbDSpKzzj8qguQSPPMg0Tr5a42jRsnfBY6lrDc/n0UD2Vf7h6avWG/cy/4Rm2VTYk7PyMCTvkfnnpWj2VmeYlI82T8pMWWtBIgPgawi1oxBJtqulIJfmZtPqDfFjfxqrX38MXDPHzp7Yn8AyNcYQ7ZIzsEjRgeMw/ZUEjAVrcFedisaARW32rn8w0T4/zdy2ZPZY0j/Cdhzfwzgd1zBqTx/M7qrl17U7ufnkPwVDU5eWNGXDhTGNkbveqVGf+qWEeNERkpYhUicjmiLJiEVkrIrvc56KI964TkTIR2SEiSyPK54nIJve929xlX3GXhn3QLV8nIlMi9lnu/o5dIhJeEjalqKo7uK+XoJEWXifc2jSiqW/pPlgq0pRRuVy2cDKvlh0i3Sv86UsLmFCYza+f3cWPH9/G5or6BJ6tOZod7GjT6J5pDIfp0ePJNP4EnNul7FrgWVWdCTzr/oyIzMZZrnWOu8/tIhL+tLwDWIGzbvjMiGNeCdSq6gzgVuAm91jFOEvLLgQWANdHBqdUEQ4C8fSecra3TCOautbug6W6+ubimeRnpXHuCeMYX5jNY984nd//8zzARoubxDnY6CM3wxu1SjovM234zz2lqi/hrN0d6QJglft6FXBhRPkDqtquqnuBMmCBiIwDClT1dVVV4N4u+4SP9Qiw2M1ClgJrVbVGVWuBtXQPXkmvxRdegKn3uafAMo2e1LX4KcyO3nMqbGReJk9ecwY/+ayzqnBRbgZzxhcAcKjZVvYziXGouT1qewYMj3XC+9umMUZVKwHc59Fu+QSgPGK7fW7ZBPd11/JO+6hqAKgHRsY4VkqJZ6lXcOaeAmz+qR7Ut3afAC6aiUU5HSNvgY6+8uF6ZmMG26EmX7cxGmHDYU2NgW4IlyhlGqO8v/t0/qUiK0SkVERKq6ur4zrRRAkHgV7bNMLjNCxoRFXf6u9xYF8sORlpZKd7OWTVUyZBDja1d5tCJOxozjQOuFVOuM9Vbvk+YFLEdhOB/W75xCjlnfYRkTRgBE51WE/H6kZV71TV+ao6v6SkpJ+XNDjiWYAJrE2jN3Ut/l7bNHoyMi+DGqueMglysMlHSX4PmUZmGk2+AKEU7s3X36CxBgj3ZloOrI4oX+b2iJqK0+C93q3CahSRRW57xRVd9gkf6yLgObfd42lgiYgUuQ3gS9yylBJu08hOj7Mh3EaEd9PmD9LqD8bsPRXLyNwMDlrQMAkQCik1zbEyjXRUnQXFUlXsTzJARO4HPgGMEpF9OD2afgY8JCJXAh8AFwOo6hYReQjYCgSAq1U1/NX5KpyeWNnAk+4D4B7gPhEpw8kwlrnHqhGRG4A33e1+pKpdG+STXmu8bRrh6ilb57qbho7JCmM3hPdkZF4mBxraBvKUjImqrtVPSInRpnF4/qn8KDM2p4Jeg4aqXtLDW4t72P5G4MYo5aXACVHK23CDTpT3VgIrezvHZGbVU0euY96pflZPFedm2JQiJiEOxRgNDsNj9T4bET7Iwg3hvS33mu714PWITY8eRV040ziCNo1DTT6cWk9jBk94nfqukxWGDYfp0S1oDLLWODMNGB49KwZDb/NO9WZUbia+YCjlF78xye/wFCLRM42OmW5T+G/RgsYgO1w91WtNIMW5GTYILYq6Fuee9Da4ryfFuTZWwyRGrfu3Whxl3ilwJiwEq54yMbT6AogcbuiOpTgng1oLGt30tmpD2xnWAAAgAElEQVRfbzoG+DXbWA0zuMJfTIp6+Fs93KZh1VOmBy2+INnpXtz5GWMqyrXxBNHUt/oRcfq490e4qsAyDTPYapqdOdLSvNE/WofD6n0WNAZZSxwz3IYV52R0pLfmsPDAPo+n98AbzeFMw+6tGVw1Lb6oU6KHZad78XokpScttKAxyOJZgCmsKDeD2ma/9fLp4kBDGyU9dGGMx+E2DaueMoOrpsnXY3sGgIiQl5na06Nb0BhkjW1+cuNoBAcozk23Xj5RVNS1MrEou9/7Z6V7yctMs0zD9EsopHztvlJ+93xZr9N/1DT7KIoRNCD1e0la0BhkFXVtjC+M7wOv2K17r21O3W8hg2FfbSsTjiBowOGxGsb0VUVdK09vOcAvnt7B1+9/O2ZNQG/VU+A0hjdY0DA9qahtYULcQcPpWVFj7RodGtv81Lf6mVCYc0THGZmbYQsxmX7ZVdUIwNnHjeaJTR+yZX/02QVUldrm2NVTkPqr91nQGESNbX4a2gJxf0sucudWsm63h1XUtQIcUfUUwOj8LKoaLWiYviuragLg+5+ZjdcjPLGpMup2DW0BAiHtPWhkpqV0FbQFjUG0v86ZJC/+TMP5Y7Nut4dV1DpB40irp0YXZFJlkxaafth1oImS/EymjMrlY9NH8sSmyqhVVOH/t/FlGhY0TBQVdS1A/B94RRY0uhmoTGNMQRYNbQGbENL02a6qJmaU5AHwqRPG8d6hFrZVNnbbrsYdPNp70Ejt1fssaAyijm/JcWYa+ZlppHnE2jQi7KttJSPNw6ge5vKJV0m+s39Vg1VRmfipKrurmpg5xgkaS+aMwSPw9JYPu21b43ZgiTfTSNWu9RY0BtG+ulYyvJ64xxiIiDtWw4JGWEVtKxMLs/s9sC9sTEEWAFWNVkVl4negoZ3G9gAzRztBY1ReJjNH57Opor7btvFmGnlZaQRCSnuKLrjWv3kZTFwqalsZV5jVpw+8kTaVSCf7aluOuD0DYLSbaRywTMPEaf3emo7Fu2aMzu8onz2+gDf2HOq2/aG42zScXpINbf6OdXRSiQWNQVRR1xp31VRYkU0l0klFXSvHjys44uNYpmH64u6X9/Djx7d1/ByungI4flw+f32ngpou3Wtrm31kpXt6ndE6cqbbiFiUMo6oekpE3hORTSKyQURK3bJiEVkrIrvc56KI7a8TkTIR2SEiSyPK57nHKROR29x1xHHXGn/QLV8nIlOO5HwTbX8/goZNj35Yqy/IwSbfETeCgzPraLpXLNMwvXp8YyU/fnwbnzx+NGfOKuGUyYWdBuzNHjcCoNtqkIeafT2uoxEp1SctHIhM4yxVPRjx87XAs6r6MxG51v35P0VkNs7633OA8cAzIjLLXUP8DmAF8AbwBHAuzhriVwK1qjpDRJYBNwFfHIBzHnS+QIiqxva4R4OHFeWmW5uG64Map/fZxKIjG9gHTnuRM1bDMg0T2/+tf59po3L53WUfITOte/XR8eOc9GDr/gZOmzGqo9yZQqT36fvD1VOpOmnhYDSEXwCscl+vAi6MKH9AVdtVdS9QBiwQkXFAgaq+rk53gnu77BM+1iPA4nAWkuwq61tR7fv4guKcDOpa/QR7mePmaLD9Q+eb3LFjByaHL8nPtN5TJiZfIMRb79dy5qySqAEDnPW/xxZkdcs0nNHgvWcaeZmpveTrkQYNBf4hIm+JyAq3bIyqVgK4z6Pd8glAecS++9yyCe7rruWd9lHVAFAPjOx6EiKyQkRKRaS0urr6CC9pYISnGphektfLlp2V5GeiCtU2epltlY2ke6XP97AnYwoyLdMwMW3eX0+bP8SCqcUxtzt+XD5buwSNiro2xuT3HjTC3b/DY5BSzZEGjdNU9SPAp4CrReTMGNtGyxA0RnmsfToXqN6pqvNVdX5JSUlv55wQ6/fWkJ3u5aSJI/q0X/gDMjzfzdFs+4cNTC/JIyNtYBJim0rE9ObNvTUAfHRK7KAxe3wBu6qaOgaL1rf4OdjUzozRvX/BGZWXyYTCbDaU1x35CQ+BI/rfqKr73ecq4K/AAuCAW+WE+1zlbr4PmBSx+0Rgv1s+MUp5p31EJA0YAdQcyTknyht7DjHvmCLSe1jBqyczxzhVMbsONA3GaaWUbZUNzB6AnlNhYwoyqWvxp8So8FZfkNtfKOPLf3qT257dhS9F+/SnmvV7a5g2KrcjG+jJ3ElFBEPa8cFfVu38f403K547uZB3PjjKgoaI5IpIfvg1sATYDKwBlrubLQdWu6/XAMvcHlFTgZnAercKq1FEFrntFVd02Sd8rIuA5zQFhlHWtfjYcaCRhb2kuNGMysugKCf9qM80app9HGho57hxA9cncXS+0+02Far+bntuFz9/age7qhq5Ze1OLvr9aykR7FLJrgONvPne4e+goZDy5ns1vVZNASycVoxH4LUypw/QbjdoxJNpAJwyqZCKutaUrC49kkxjDPCKiLwLrAceV9WngJ8B54jILuAc92dUdQvwELAVeAq42u05BXAVcDdO4/hunJ5TAPcAI0WkDPh3nJ5YSa3VF2T93hpUYeG0bs0vvRIRZo7OZ+dRnmlsd+uLB2KMRtjoAufb44dJPnFhKKSsfqeCs44t4eXvnc0Pz5/Dxn31PU7JbfquuT3AP9+zjot//zpXrFzP3oPN3P3KHhraAnwsokdUTwqy0jlxYiGv7XYG+e2uaiLD64m7e/gpk52RCBv6mW3s+LCRL/z+9SEZCNzvLrequgc4OUr5IWBxD/vcCNwYpbwUOCFKeRtwcX/PMdE2lNfx2dtfpSgng8w0DydP6lt7RtjMMXmseXc/qkqKdBYbcNs+dDKtgQwa4aqDsqqmXuush1Lp+7Xsr2/je+ceBzjrOFy/Zgs7Pmxk3jFFvext4nH7C2UcaGjny6dN5eG3yvnUr1+iPRDivBPH8pkTx8V1jI9NH8ldL+2huT1AWVUTU0flkhZndfSc8QWke4V3yutYMmdsn8//tud2sf69GtbtOcSn4jzfgWJzTw2gtVs/xCNCVpqHs48b3WOXvd7MGpNPY1vgqB6ItmV/PaPyMhl1BGuDdzWhMJu8zLSOLCZZrd5QQXa6l3NmjwGc887N8LLzwNFdZTlQ9tW2cNfLe7lw7ni+/0+zWfvtj3P6jBJOmz6Kmy+eG/e0P6dNH0UgpKx/r4bd1U1xV02BswTx7PEjeOeD2j6ff3lNC0+6a3oMRfZp04gMoFfKDjF3UiGPXvWxIzpOeMqCnQcaGTsiayBOLak1tQe45+W9fOn0KRRkpeMLhHhuexVnzhzYnnAej3Ds2PyOLCYZtfmDPL6pkk/OHkOu25/f4xFmjslnRxKfdyq586U9qGpHJjd2RBZ3L5/f5+PMO6aIDK+HNRv280FNC+efPL5P+586bSR3vbyHPdVNTOtDt/J7XtmLR4TR+Zls2d994sTBZpnGAKlv9bNpXx2nTe97O0ZXs9weVEfLN8tHSsu59Zmd/GD1FgBeKaumrsXf5/+E8Th+XD7bKhuSdlrqJzZVUtfiZ9lHJ3UqP3ZM/lHz9zCYDjW181BpOZ89ZUKfZ2voKjvDy6ULJ/PXdyoIKUzvQ6YBcOXpU8lM83DzP3bGvU8wpPxtQwWfOnEcH5s+ckgyDQsaA+SNPYcIKZ2mFegvp1omI+r0y8PR3zbsJ80j/OWdCta8u5/VG/YzIjudM2cN/Jib48YW0NgWYH99cjaG3/fG+0wrcVaIizRrbD6Hmn0JX+f8d8+XcffLexL6OwfTqtfeoz0QYsWZ0wfkeP913vGcMrkQ6N9A3q+eMY3HN1XybpxjNjaU11HX4mfJ7DHMHl9AVWN7wnsDWtAYIK+WHSQ73dvRK+JIfeLY0Ty3vWrY989/72AzG8rr+PY5szh54gi+ef87PLaxkvNOHDdgg/oihecNSsZ2jc0V9bzzQR2XLTymWweIY8PZZwKrqDZX1POLp3fw48e38fz2qt53SBKqyh9e3M2q197rNFVHKKQ8WFrO2ceO7lP7QywZaR7+cPk8vv+Z2f0aU/TVM6eRkebhsY37e98YeHFHFR6BM2aOYs54p6NNoquoLGgMgFBIeXZbFYumFQ/YB92nThhLY1uAV3cf7H3jFLZ6w35E4HMfmcCfv7qIaxbPZGxBFpctnDwovy9c9bc9CdoHymtaOs0x9ud175OV7uGij0zstu2ssc6H3I4jrKLaUF5HQxxzHqkqP3liG0U56Rw7Jp/vPvxuwrOcvlBV7nllLw+XlvOzp7bz0ye3c/2aLXziFy90jIXYWFHPgYZ2Pn3SwPY2Gp2fxZdPn9qvhcLyMtOYO6mQ9Xt7HrMcCil3v7yHl3ZW8/yOak6ZXERhTgazxztBKtFVVBY0BsDrew5RUdfKhadM6H3jOJ0+cxR5mWk8tan7spLDxc4Djax8dS+nThvJuBFOz6ZvnzOLV689mxMm9K+7cm/ys9KZVJzdbd6gRNt7sJmzfvkCv37Gqc9uaPPzt3f2c8HJExiR032m1JK8TIpy0o+oynLt1gNc+LtX+ee719HUHiAY0h7bdl7cWc1ruw/xzcUzue2SU6hv9XPL2vjr3hPt/vXl3PDYVv7jkY384cU9XLpwMv/3lYUcavbxl7crAPjHlg/xeoSzjxvdy9ESa+HUYjbvb6Cpvfust8GQ8r1HN/Ljx7fxpT+9yaaKes461qm2HZHt/C3f+/p7/M/fNlOXoHV4LGgMgEfe2kd+VhpL+9HfuieZaV7OPm40/9j6IYHg8Kuiqqhr5fJ71pGZ5uGmz5+U0N89/5hiXtpRnbD/ZNGseu09AiHl7lf2Ut3Yzl/e2kerP8jlpx4TdXsRYcnssTz2biXl7pTxXe2rbekIAk3tAdbvremouiivaeE7D21gcnEOW/Y3sOSWFzn++0/xsZ89x7WPbqQsYgaCYEj56RPbOWZkDpctPIZjx+Zz+anH8MD6D7rN7JoMdh5o5Id/38IZM0dx/1cX8aML5nDDBSfwsRmjmHdMEQ+XlqOq/GPrARZNK6YwJ/bKeom2cOpIgiHlrfe7d7+9+R87eOStffzbJ6Yzz636Pisi6H13ybHMHJ3PA29+wDfufychs2Nb0DgCdS0+Xis7yJObKzn/5PEDvnTjBXPHU9vi5y/vVAzocYdac3uAr6wqpcUX5L4rFzKp+MjXy+iLFWdOo7E9wMpX9ib094Y1tvl5uLSchVOLaQ+E+O7D73LXy3s5eVJhzAzr2+fMwuOBnz+9o9t7j23cz+k3Pc+q195jx4eNLPrJs3zhD6/zudtfY9eBRr794AYU+N8rF3LLF05mUnEOly6YzCmTC1nz7n7OufUlbvmHc9xH397HjgONfG/pcR3VrdcsnklBdjpX/9/bUZc6HUo/f2o72RlebvnCXE6dPpIrTp2C160qunjeRHZXN/Pb58ooq2piyeyB+2I3UD5yTCFpHmHdnkO8/UEtLT4n43j7g1p+/+JuvjB/It879zjuvXIBf7v6tI62DIAL5k7gf7+ykBsuOIGXdx3kF1H+NgaaBY1+Kq9p4ZO3vMild6+jzR/ii126SA6Es48bzcmTCrl17c5hM+9Qmz/INQ+8w44PG/jtpR8ZsLUy+uL4cQV86oSx/PHV94ZkeupH3tpHsy/If513PJcumMyLO6vxB0N8b+mxMfcbOyKLFWdM4+/v7u80KKyuxccP1jjdlW9eu5PvPvwuGWkebr/sI2RnePn8Ha9R+n4tPzx/DpNH5nDB3Ak8+LVT+cH5c7j9snm88p9n89lTJnDbc2Vc/ee3+f7qzcydVMh5Jx7+gC3MyeC3l3yEdn+IZXe+wa+e2Tlo3ZZv/scOrvvLprgy7J0HGnlmWxXLT50SdZLBT580jqx0Dzev3cmEwmzOS/Do6XjkZKRx4sQR3P3yXj53+2tcv3oLPvfLxLgR2fzPZ2YDzoDAuZMKox5j2YLJXLZwMhV1rYQGOduwwX390NDm50t/ehN/ULnrivlML8nt0+CceIkI1557HJfc9Qb3vLKXq8+aMeC/I5HqW/x8edWbvPV+LTdcMIePD0KX2nh965OzeG57FYtvfoH/WHocV54+NSG/V1V5YH05J08cwcmTCpkzvoBrPjkz7pHvKz4+nf9bX85PntjGQ187FYAf/X0rtS1+brvkFP79wQ1sqqjnV1+cy3knjiMYUr5x/zssmT2Gz/bQ5lacm8EvLjoZXyDEYxsr+eTxo7nxsyd268F1+sxRPPudj/Pff93Mr57ZRYsb+AbS67sP8ZvnygBnQaRfXHRSzAbmP7y4h+x0L8s/NiXq+/lZ6dy27BSafQE+feL4QemRNxA+efwYtlc28pEJhfzlnQqyM7zsqW7mj1/6aMdKf7354flz8Hpk0KcesqDRDz9cs5W9B5v53ysXcuoADOaL5dTpI1k6Zwy3rt3JgqnFST1nUm9ufWYnG8rruP2yjwz5N75jx+bzzL9/nO+v3syPH9/KSRNHJOTebq5oYMeBRn58oTPVWprX06epUpzOAjP5779u5uG39uELhPjLOxVcs3gm5588nkNN7ew92MwFc52Bkf908nhG5mVw0sTCmB8mXo/wqy/O5d8+MYPjx+X3uG1WupdfXHQS2Rke7nxpD4umFXP2cWP6cAeiq232sf69Gm56ajuTi3P4p5PH8bvndzN30gguP3VKt+0b2/z89MntPPr2Pr502hSKc3tup+jP3E6JdtXHp/PVM6ZR2+LjjJ8/z72vv89Zx5Zw1rHxN9rHO+/VkZJkHRnbX/Pnz9fS0tJBObaq8sLOar70xzf5+lkz+G4v1QkDpb7Vz4W/e5XGtgBrv30mRTH+gySrirpWzvrFC3x+3gR++rnENnzH0tweYMmtL5GZ7uGJb54x4O1SXV2/ejP3v1nOm//9SUZkx/cNsqtAMMRnfvNKR7fhM2eV8Md/+WhHPX4itAeCXPDbVznY5ONLp01h2qjcfk+c1+oLsvRXL/FBTQsZXg/3/Mt8Tp8xikvvWsfWygZ++rkT+ckT28hM83Dq9JFcs3gWX723lI376vjyaVP57tJjB/3fLZF++Pct/PmND3jimjMGbDxJPETkLVXtdT4VCxpxWr2hguv+sokWX5AZo/N4/Jun93tCwv7YXFHPZ37zCv9+ziy+uXhmwn7vkWjxBcjwevB6hO88/C6PvVvJ8//xCSYc4fQNA+3FndUsX7meBVOK+e2lpzC6YODn+yqvaeHJzZX87vndnDmrhN9ccsoRHa+xzc9z26vYWtnAVR+fPiQ9grbub+DSu9+grsUZ93H5omOYNTYfj8Cyj06OGcRCIeWmp7aTle6lLRDkDy/u4beXnsIZM0o6uhxv/7CBT9/2CsGQdlQBP7vtAGleD4FgiNsvm8e5JyR/FtFXwZBS3die8HnnLGj0Q1VDGxvK6zjQ2M7I3AwWTi1mZF4m5TUtnPurl5gxOo9zTxjH+XPHD8kH35f+uJ5NFfW88p9nJ9U3q1ZfkIffKueDQy188aOT8HqEB98sZ+Wre5lQmM2M0Xk8s62Kr505jesGuA58oKzeUMG1j26iMCedh752alw9ug40tPG758t4/1AL2eleTp5UyJdPn9Lty0R1Yzv/9JtX+LChjbEFWdx1xXxO7OMywMnKHwwRDCk3/2MHd718uDfambNKuGjeRAqy0vjY9FEdbQlb9tfT6gvy4s7qjrYLgM+dMoFbvji32/F/93wZmyvq+dnnT2JEdjqv7z7E9Ws28+XTprJsweAMAD1aWdDoo321LZx+0/OdyjK8HhZOK6a8poWDTT6e+tYZTCxKbPfQSK+VHeTSu9dx42dP4LKF0fvzJ9qz2w7wn49u5GCTD69HOvqJi8AFJ49nW2Uju6oa+e7SY/nXM6f3a9RsomzZX8+ld61jRHY6D6xYFHNCu0DQ6UW0saKeY8fk09weYM/BZi5dOJn/9+njeXZbFY1tAXyBIGve3c/WygYe+tqpnDQxeu+X4WBzRT0FWem8uvsg31+9GX/Q+VsYmZvBV86Yxuj8TP7jkXcJd+75wvyJnHvCWB59u4Ifnj9nQKfBN303rIKGiJwL/BrwAner6s962ra/QUNVue+N95kzvoCJRTlU1rfxt3cqWL+3hnSvcPVZM4a8QU1VufD219hSUc83zp7J5+dNYEJhdkejZSIXbapqbOOXT+/godJ9HD+ugB+eP4fpJbn8bcN+8jPT+OjUYqaOyiUYUg41t3cstZrsNpTX8c93ryMnw8t/f/p4DjX5OG5sPoumjcTjEXYdaOT1PYd4t7yeR9/ex6+XzeWCuU6vpJue2s4dL+ymICuNhrbDo3vTvcIvLz65Y7ujwcGmdupa/HxQ08y9r7/PCzuqAVg0rZjLF02hvLaFL582NWl7Mx2Nhk3QEBEvsBNn6dh9wJvAJaq6Ndr2g9kQngxqm338z+rNPLbRWYRl9rgCvnLGVP687gM27aunJD+T0QWZjMnPcp4Lspg2KpezjhtNSJU91c1UN7WzdX8DNc0+zj95PIGQsmlfHZnpXhpa/dS2+DlxwggmFWcTCCmhkFKcm8H4wmwe31jJE5sqeXX3QYIh5cunTeXb58xKquqyI7Xjw0auXPUm+2oPj+HIz0qjICu907iOSxZM6tSoHwwp33pwA3UtPv7tEzOYOiqXjDQP2elesjOGz/3pj2e3HeC13Yf493NmdawTYpLLcAoapwI/UNWl7s/XAajqT6NtP9yDRtjW/Q2s23uIu1/eS0VdK6PyMjn/5PHUtfioamznQEMbBxraOr7x5mR4aQ+EOk0zkOH14IsygCqymimSRyCkMKk4m7OPHc2/nDaVqaNyB+8ih1BDm5/tlY0cMzKH9XtrWL+3hvpWJ5ied9I48jLT+t37yZhkNJyCxkXAuar6Fffny4GFqvr1iG1WACs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