La data - Chap 1 - La donnée sous toutes ses facettes.ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[{"file_id":"10g05gYrDh5uJC4smfuzozti0KkVyNIsn","timestamp":1704284119452}],"collapsed_sections":["dVz6ZydCJYbe","3bc2L9m_JcBf","usyMhUG_OECR","FvuDEE3uOQCh","0VK1p7TMOddn","s_dKhBlnv6Hl"],"authorship_tag":"ABX9TyP36u5jLiHwtckW1uzA6hV0"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["Ce notebook reprend les exemples du livre: **La Data - Guide de survie dans le monde de la donnée** - Chapitre 1"],"metadata":{"id":"7cL69YrWM9Ou"}},{"cell_type":"markdown","metadata":{"id":"dVz6ZydCJYbe"},"source":["# Statistiques de base sur les données"]},{"cell_type":"markdown","source":["Calcul de la moyenne"],"metadata":{"id":"TvKKRplENJi1"}},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"1mnryq84v03J","executionInfo":{"status":"ok","timestamp":1633761168445,"user_tz":-120,"elapsed":6,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"6986af0f-8186-4efd-e299-fb2f6068a18e"},"source":["import numpy as np\n","D= [1, 7, 8, 9, 10]\n","np.mean(D)"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["7.0"]},"metadata":{},"execution_count":1}]},{"cell_type":"markdown","source":["Calcul de la médiane"],"metadata":{"id":"0k8QIQvzNL4t"}},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"r9jupZ6pyx49","executionInfo":{"status":"ok","timestamp":1633761833589,"user_tz":-120,"elapsed":267,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"317a2cfa-c96d-41aa-b8c4-671519e22926"},"source":["import numpy as np\n","D= [1, 7, 8, 9, 10]\n","np.median(D)"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["8.0"]},"metadata":{},"execution_count":2}]},{"cell_type":"markdown","source":["Calcul de l'écart type"],"metadata":{"id":"v8nMB1-8NN2c"}},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Iie9crCizROC","executionInfo":{"status":"ok","timestamp":1633762743017,"user_tz":-120,"elapsed":181,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"b545bafc-0d1e-48a8-bd78-b048f2e1139f"},"source":["import numpy as np\n","D=[1,7,8,9,10]\n","print(np.std(D))"],"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["3.1622776601683795\n"]}]},{"cell_type":"markdown","source":["Calcul de la variance"],"metadata":{"id":"xQBICcA4NU-6"}},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"t6LDJdBlz75k","executionInfo":{"status":"ok","timestamp":1633765798232,"user_tz":-120,"elapsed":164,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"7d39875a-3337-4b3e-8eff-c8cd0f9c571b"},"source":["import numpy as np\n","D=[1,7,8,9,10]\n","np.var(D)"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["10.0"]},"metadata":{},"execution_count":12}]},{"cell_type":"markdown","source":["Calcul de quantiles"],"metadata":{"id":"BlvShTOKNXJF"}},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"d0QDaVRABygu","executionInfo":{"status":"ok","timestamp":1633765801621,"user_tz":-120,"elapsed":163,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"6ee7d242-e892-4626-9e40-f3b7d175ae51"},"source":["import numpy as np\n","D=[1,7,8,9,10]\n","np.quantile(D, 0.5)"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["8.0"]},"metadata":{},"execution_count":13}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"P2PwVYYhB-aB","executionInfo":{"status":"ok","timestamp":1633765816980,"user_tz":-120,"elapsed":159,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"e2337d12-407a-4f6c-aeaa-8c35d9ee6eb3"},"source":["import numpy as np\n","D=[1,7,8,9,10]\n","np.quantile(D, 0.75)"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["9.0"]},"metadata":{},"execution_count":14}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"0LshMMGECBEl","executionInfo":{"status":"ok","timestamp":1633765828989,"user_tz":-120,"elapsed":154,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"47fc8eea-c38c-495f-b968-90f2ce3e1bdd"},"source":["import numpy as np\n","D=[1,7,8,9,10]\n","np.quantile(D, 0.25)"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["7.0"]},"metadata":{},"execution_count":15}]},{"cell_type":"markdown","metadata":{"id":"3bc2L9m_JcBf"},"source":["# Tracé de courbes"]},{"cell_type":"markdown","source":["Tracé de fonction (ici y = -x^2 + 25)"],"metadata":{"id":"zUpMrRxjNjZL"}},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":265},"id":"CpabVSPLJfwC","executionInfo":{"status":"ok","timestamp":1633936797962,"user_tz":-120,"elapsed":606,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"576b1e84-cba9-4cfa-9147-b8b79b8e4896"},"source":["from matplotlib.pyplot import plot, show, legend\n","from math import cos, tan\n","import numpy as np\n","\n","def f(x):\n","    return -x*x + 5*5\n","\n","x = np.linspace(-5, 5, num = 100)\n","y = [ f(a) for a in x ]\n","plot(x, y, color='blue')\n","show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"IHZ9omQsfonW"},"source":["# Distributions"]},{"cell_type":"markdown","source":["## Distribution de données, visualisation via un graphique à bâton"],"metadata":{"id":"usyMhUG_OECR"}},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":605},"id":"wSwrBoh9K8Fw","executionInfo":{"status":"ok","timestamp":1645622039608,"user_tz":-60,"elapsed":467,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"5d0b31e8-6a52-4f46-f637-1d03106d92a2"},"source":["import matplotlib.pyplot as plt\n","plt.figure(figsize=(20,10))\n","data = [1, 2, 3, 2, 1, 4, 5, 4, 2, 1]\n","x = [1, 2, 3, 4, 5]\n","y = [data.count(val) for val in x]\n","plt.bar(x, y)\n","plt.title('Distribution des valeurs', fontsize=10)\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1440x720 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"JWG-Zb0UPmK9","executionInfo":{"status":"ok","timestamp":1633870048484,"user_tz":-120,"elapsed":345,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"84b747ea-6637-4724-e332-933fc40c7626"},"source":["y"],"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[3, 3, 1, 2, 1]"]},"metadata":{},"execution_count":17}]},{"cell_type":"markdown","source":["## Densité de probabilité (illustration)"],"metadata":{"id":"FvuDEE3uOQCh"}},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":605},"id":"2wWHbhgGPZJp","executionInfo":{"status":"ok","timestamp":1645622089239,"user_tz":-60,"elapsed":733,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"4dad2107-414f-4721-bbdd-dd7795da1e2c"},"source":["import matplotlib.pyplot as plt\n","plt.figure(figsize=(20,10))\n","data = [1, 2, 3, 2, 1, 4, 5, 4, 2, 1]\n","x = [1, 2, 3, 4, 5]\n","y = [0.3, 0.3, 0.1, 0.2, 0.1]\n","plt.bar(x, y)\n","plt.plot(x, y, color='red')\n","plt.title('Distribution des valeurs de data', fontsize=10)\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAABIcAAAJMCAYAAABgjsbWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdeZjNdeP/8efb2BMJLVK0aNOe0qpNtCJpoSzfuhPSXaSiUIkURRsq3d2ylNDmru5QSitRqZQW7drQJtlnPr8/zun+TRKDmXnPzHk+rstl5pzPOec5031dd/Pqcz4TkiRBkiRJkiRJmalU7ABJkiRJkiTF4zgkSZIkSZKUwRyHJEmSJEmSMpjjkCRJkiRJUgZzHJIkSZIkScpgjkOSJEmSJEkZzHFIkqQMF0LIDiHMCSG8H0J4J4RwRQihVPq++iGEO9fz2DohhNbrub9mCGFi+uP2IYS7N7KtfQihZq7P7w8h7L0xz5HH1/kihFA9v593A695fQihe2G+Zq7XrhNCmLsZj99gewiheUH8s5IkSfnPcUiSJC1PkuSAJEnqAScCJwPXASRJMjtJkn+u57F1gHWOQyGE0kmSfJskScvNaGsP/G8cSpLkH0mSfLAZz1fihBBKx274G80BxyFJkooBxyFJkvQ/SZIsBDoAXULKsSGEpwBCCMekzzCaE0J4O4SwJXAzcHT6tq7pM30mhRCmAc+v4wyVHUMIL4YQPgkhXJd+3j8dE0Lonj4zpSVQHxibfv4K6cfWTx/XKoTwXghhbgjhllyPXxpC6J8+C2pGCGHbtb/OEEK1EMKU9NlS9wMh133nhxDeSL/mvSGErPSfkenXei+E0HWt56sSQvgy1xlXW4QQvg4hlAkhXBRCmJXueTSEUHEdPbuGEJ4NIbwZQng5hLBn+vaR6e/D/7629N/Hpo+bBHyQfr2n068xN4Rwzjpe4+D0/e8Al+S6PSuEMCjd+G4I4eK//A8jddy1IYSPQwivAHvkuv0vX18I4QigKTAo/X3cNS/fB0mSFIfjkCRJ+pMkST4DsoBt1rqrO3BJkiQHAEcDy4EewMvpM4+GpI87CGiZJMkx63j6Q4Ezgf2As/4Yev6mYyIwGzgv/fzL/7gv/VazW4DjgQOAQ0IIzdN3bwHMSJJkf+Al4KJ1PP11wCvps6UeB3ZKP+9ewDnAkemvMxs4L/0aOyRJsk+SJPsC/16r9VdgDvDH13waMDlJktXAY0mSHJLumQdcuI6e+4BLkyQ5mNT3edjffV9yOQi4LEmS3YGTgG+TJNk/SZJ9gGfXcfy/06+x/1q3Xwj8miTJIcAhwEUhhJ1zHxBCOBg4N/19OCV93B/+8vUlSfIaMAm4Mv3P7tM8fh8kSVIEjkOSJCmvXgUGhxD+CWyVJMmavzluapIkP63nvh/TQ89jwFGb2HII8GKSJIvSHWOBhun7VgFPpT9+k9Rb39bWEBgDkCTJ08DP6dtPAA4GZoUQ5qQ/3wX4DNglhHBXCOEkYMk6nvMRUsMSpIaUR9If75M+y+c9UkNTvdwPCiFUAo4AJqRf815g+zx8D95IkuTz9MfvASeGEG4JIRydHqtyv8ZWpP6ZvZS+aXSuuxsDbdOvPROoBtRd67WOBh5PkmRZkiRLSA0/f1jv17cJx0mSpEJWVN+jLkmSIgkh7ELqjJmFwF5/3J4kyc0hhKdJnTnyagihyd88xe/refpkHZ+v4c//war8Rkf/2eokSf54nWw27t93AvBgkiQ9/3JHCPsDTYCOwNnABWsdMgm4KYSwNamBaVr69pFA8yRJ3gkhtAeOXetxpYBf0mcqre1/35v0W9bK5rrvf9/nJEk+DiEcROqfTb8QwvNJkvTd4Feb/tJInVE0OY/Hr20k6//6NvY4SZJUyDxzSJIk/U8IoQZwD3B3roHlj/t2TZLkvSRJbgFmAXsCvwFbbsRLnBhC2DqEUIHUBYtfBX4AtklfB6gcqbdk/eHvnv8N4JgQQvUQQhbQCpi+ER0vkb6QdgjhZKBq+vbngZYhhG3S920dQqgdUr/JrFSSJI8CvUi9petPkiRZSur7cgfwVJIk2em7tgS+CyGUIXXGzNqPWwJ8HkI4K/2aIT1EAXxBamiC1DV8yqzri0m/zW5ZkiRjgEFr9yVJ8gvwSwjhjzO1cndMBjql+wgh7B5C2GKtl3gJaB5S133aEjg9131/9/Wt/c9uvd8HSZIUj2cOSZKkCum3FJUhdabKaGDwOo67PIRwHJADvA/8N/1xdvoixyP5/2/P+jtvAI8CtYAxSZLMBggh9E3f9w3wYa7jRwL3hBCWA4f/cWOSJN+FEHoAL5A68+XpJEme3Iiv+Qbg4RDC+8BrwFfp5/0ghNALmJI+U2c1qYs3Lwf+/ccFp4G/nFmU9ggwgT+fFdOb1Nu1FqX/XtfYdR4wPP3aZYBxwDvACODJ9Pf3Wf7+rKx9SV38OSfd3Gkdx/wf8EAIIQGm5Lr9flJvvXsrhBDSnc1zPzBJkrdCCI+kmxaSGsE29PWNA0ak34bYMo/fB0mSFEFY6z8KSpIkSZIkKYP4tjJJkiRJkqQM5jgkSZIkSZKUwRyHJEmSJEmSMpjjkCRJkiRJUgYrcr+trHr16kmdOnViZ0iSJEmSJJUYb7755uIkSWqs674iNw7VqVOH2bNnx86QJEmSJEkqMUIIX/7dfb6tTJIkSZIkKYM5DkmSJEmSJGUwxyFJkiRJkqQM5jgkSZIkSZKUwRyHJEmSJEmSMpjjkCRJkiRJUgZzHJIkSZIkScpgjkOSJEmSJEkZzHFIkiRJkiQpgzkOSZIkSZIkZTDHIUmSJEmSpAzmOCRJkiRJkpTBHIckSZIkSZIymOOQJEmSJElSBnMckiRJkiRJymCOQ5IkSZIkSRnMcUiSJEmSJCmDOQ5JkiRJkiRlMMchSZIkSZKkDOY4JEmSJEmSlMEchyRJkiRJkjJYnsahEMJJIYSPQgjzQwg91nF/xxDCeyGEOSGEV0IIe+e6r2f6cR+FEJrkZ7wkSZIkSZI2zwbHoRBCFjAUOBnYG2iVe/xJeyhJkn2TJDkAGAgMTj92b+BcoB5wEjAs/XySJEmSJEkqAkrn4ZhDgflJknwGEEIYBzQDPvjjgCRJluQ6fgsgSX/cDBiXJMlK4PMQwvz0872eD+3KJKtXw3nnxa6QSo5GjaBDh9gVkiRJkoqAvIxDOwBf5/p8AdBg7YNCCJcA3YCywPG5HjtjrcfusI7HdgA6AOy000556S4W6vR4OnZCiVEmezXPTJux4QO1UepuUyl2Qp59snBp7IQSo+KqFewwYQItXlrCW7X2ip1TYnxx86mxEyRJkqRNkpdxKE+SJBkKDA0htAZ6Ae024rH3AfcB1K9fP9nA4cpAq7PKcOI/hsfOKHGK0w+zJzq25puKq5Yz9f7O9J8ylNPa30F2Kd/tK0mSJGWyvFyQ+htgx1yf10rf9nfGAc038bGSpAK2rGwF+ja6iL0WfUH72ZNi50iSJEmKLC/j0Cygbghh5xBCWVIXmP7TTxMhhLq5Pj0V+CT98STg3BBCuRDCzkBd4I3Nz5YkbY7JdQ/n+V0PoeurD7HdksWxcyRJkiRFtMFxKEmSNUAXYDIwDxifJMn7IYS+IYSm6cO6hBDeDyHMIXXdoXbpx74PjCd18epngUuSJMkugK9DkrQxQuC6RhdTOieb3tNGxK6RJEmSFFGerjmUJMkzwDNr3dYn18eXreex/YH+mxooSSoYC7bajrsOP4crXx7N+M/eZPouB8dOkiRJkhRBXt5WJkkqoUYc2oJPt65F36nDKbd6ZewcSZIkSRE4DklSBltVugy9Gnei9i/f03nGxNg5kiRJkiJwHJKkDPd67f15fO9j6ThzAjv/5C+UlCRJkjKN45AkiZuOu5CVpcvRd8pwSJLYOZIkSZIKkeOQJIlFlaoyqGEbjv5yDqfPeyl2jiRJkqRC5DgkSQJg7AEn8852dek97X62XPl77BxJkiRJhcRxSJIEQE6pLHo17kz133+h28tjYudIkiRJKiSOQ5Kk/3lv+7qMOfAU2r71NPW+nx87R5IkSVIhcBySJP3JrQ3b8FPFyvSfMoxSOdmxcyRJkiQVMMchSdKfLClfiX7HXcgB331Mq3cmx86RJEmSVMAchyRJf/Hk3sfyau39uGr6g1T7/ZfYOZIkSZIKkOOQJOmvQqDPiZ2osHol17z4QOwaSZIkSQXIcUiStE6fVtuR+xq04My502jw1XuxcyRJkiQVEMchSdLfuvvws/m6yrb0mzKMMtmrY+dIkiRJKgCOQ5Kkv7WiTHn6nNiRuj9+zYWznoydI0mSJKkAOA5JktbrhV0P4dndD+efrz3MDr8ujJ0jSZIkKZ85DkmSNqjvCRcBcP1z90YukSRJkpTfHIckSRv0beVtuP3I1pw4fyaNPpkZO0eSJElSPnIckiTlyQP1m/Fh9dpc/9w9VFi1InaOJEmSpHziOCRJypM1WaXp1aQztZYs4tLXx8XOkSRJkpRPHIckSXk2u1Y9JuzTiIveeJzdFn8VO0eSJElSPnAckiRtlAHH/R+/l61AvynDIEli50iSJEnaTI5DkqSN8lPFKtx8THsO+3ouLd6fFjtHkiRJ0mZyHJIkbbRH9m/MmzX35JoXHqDyiqWxcyRJkiRtBschSdJGS0IpejXpTNXlv3HV9Adj50iSJEnaDI5DkqRNMm+bXRh58Om0nvMs+3/7UewcSZIkSZvIcUiStMkGH3UeCytVpf+UYWTlZMfOkSRJkrQJHIckSZvs93IV6XtCB/b54VPavPV07BxJkiRJm8BxSJK0WZ7Z40im73wQV7w8mhpLf4qdI0mSJGkjOQ5JkjZPCPQ5sSNls9fQe9r9sWskSZIkbSTHIUnSZvuyak2GHXYWTee9xFGfvx07R5IkSdJGcBySJOWLew5ryedVt6fv1OGUW7Mqdo4kSZKkPHIckiTli5Wly9LnxE7s8vO3dJj5aOwcSZIkSXnkOCRJyjcv73wQT+15NF1eH89OP38XO0eSJElSHjgOSZLyVd/j/8GqrNL0nXoPJEnsHEmSJEkb4DgkScpXC7esxuCjz+fYz9/k5I9ejZ0jSZIkaQMchyRJ+W7UQafx/ja70Of5EWyxclnsHEmSJEnr4TgkScp32aWyuLbJJWy79Ccuf/Wh2DmSJEmS1sNxSJJUIObU3INx+zfh/2ZPYs+Fn8fOkSRJkvQ3HIckSQXmlmPa8UuFLek/eSghyYmdI0mSJGkdHIckSQXm1wpbMuDYCzj42w85+92psXMkSZIkrYPjkCSpQD26z/HMrFWPHi+OpOqyX2PnSJIkSVqL45AkqWCFQK/Gnam0ahk9XhwZu0aSJEnSWhyHJEkF7pMatfnXIc05572pHLzgg9g5kiRJknJxHJIkFYo7jmjFgso16D95KKWz18TOkSRJkpTmOCRJKhTLy5bnhkYXs+fiL2n/5qTYOZIkSZLSHIckSYVm6m4NeG7XQ+j6ykNsv2RR7BxJkiRJOA5JkgpTCFx/YkdKJQl9nh8Ru0aSJEkSjkOSpEK2oMq23HXEOZz88Wsc++ms2DmSJElSxnMckiQVuhGHnsEn1Xak79R7KL96RewcSZIkKaM5DkmSCt3qrDL0btyJnX79gc6vT4idI0mSJGU0xyFJUhQzdtqPx+odR8eZj7LLjwti50iSJEkZy3FIkhTNTcddwPIy5bhx6jBIktg5kiRJUkZyHJIkRbN4i6oMOqYdR375Lk3nTY+dI0mSJGUkxyFJUlQP7d+EOdvXpfe0+9ly5e+xcyRJkqSM4zgkSYoqp1QWvRpfwtbLlnDFS6Nj50iSJEkZx3FIkhTd3O12Y/SBp9Dm7WfY5/v5sXMkSZKkjOI4JEkqEm5r2IYfK1ah/+ShlMrJjp0jSZIkZQzHIUlSkfBbuS3od/w/2P/7T2j9zuTYOZIkSVLGcBySJBUZk/ZqyCu19+eq6Q9S/fefY+dIkiRJGcFxSJJUdIRAnxM7UW7NSq554YHYNZIkSVJGcBySJBUpn1Wrxb2HnkmL91/g8C/fjZ0jSZIklXiOQ5KkImfo4Wfz5VbbceOUYZTJXh07R5IkSSrRHIckSUXOyjLluK5RR3b7aQEXvfF47BxJkiSpRHMckiQVSS/uWp//7n4El772CLV++T52jiRJklRiOQ5JkoqsvidcRE4IXP/cvZAksXMkSZKkEslxSJJUZH1XuQZDjmpNo09n0fiTGbFzJEmSpBLJcUiSVKSNPLgp82rU4brn7qPCqhWxcyRJkqQSx3FIklSkrckqTa/Gndnht0Vc9trDsXMkSZKkEsdxSJJU5L1Za28e2fdELpz1BLsv+iJ2jiRJklSiOA5JkoqFm49tz9KyFblxynAvTi1JkiTlI8chSVKx8HPFKgw49v9osOB9Ws59PnaOJEmSVGI4DkmSio0J+zVi9g570fOFB6iy/LfYOZIkSVKJ4DgkSSo2klCKXo07U2XFUq6e/mDsHEmSJKlEcBySJBUrH26zM/+u35TW7zzLgd98GDtHkiRJKvYchyRJxc7tR7bmu0rV6D9lKFk52bFzJEmSpGLNcUiSVOz8Xq4iNzTqwN4LP6ftW0/FzpEkSZKKtTyNQyGEk0IIH4UQ5ocQeqzj/m4hhA9CCO+GEJ4PIdTOdV92CGFO+s+k/IyXJGWuZ3c/ghd3PphuL49hm99+jJ0jSZIkFVsbHIdCCFnAUOBkYG+gVQhh77UOexuonyTJfsBEYGCu+5YnSXJA+k/TfOqWJGW6EOhzYkfK5GTTZ9r9sWskSZKkYisvZw4dCsxPkuSzJElWAeOAZrkPSJLkhSRJlqU/nQHUyt9MSZL+6quq2zP0sLM47cOXOfrzt2LnSJIkScVSXsahHYCvc32+IH3b37kQ+G+uz8uHEGaHEGaEEJqv6wEhhA7pY2YvWrQoD0mSJKXc26Aln1WtSd+pwym3ZlXsHEmSJKnYydcLUocQzgfqA4Ny3Vw7SZL6QGvg9hDCrms/LkmS+5IkqZ8kSf0aNWrkZ5IkqYRbVboMvRt3Zuefv6PjjImxcyRJkqRiJy/j0DfAjrk+r5W+7U9CCI2Aa4GmSZKs/OP2JEm+Sf/9GfAicOBm9EqS9Bev1jmASXs1pPOMCdT++dvYOZIkSVKxkpdxaBZQN4SwcwihLHAu8KffOhZCOBC4l9QwtDDX7VVDCOXSH1cHjgQ+yK94SZL+cOPx/2BlVhlunDIckiR2jiRJklRsbHAcSpJkDdAFmAzMA8YnSfJ+CKFvCOGP3z42CKgETFjrV9bvBcwOIbwDvADcnCSJ45AkKd8tqrQ1tzVsQ8Mv3ubUD1+JnSNJkiQVG6XzclCSJM8Az6x1W59cHzf6m8e9Buy7OYGSJOXV6ANP4az3nqPPtBFM3+VglparGDtJkiRJKvLy9YLUkiTFlFMqi2sbd6bG0p/p+srY2DmSJElSseA4JEkqUd6puQcPHXAS7d/8D3v/8FnsHEmSJKnIcxySJJU4A49px08VKtNvylBCkhM7R5IkSSrSHIckSSXOkvKVuOm4Czjo2484550psXMkSZKkIs1xSJJUIj1e7zhm7LgPPaaPZOtlv8bOkSRJkoosxyFJUskUAr0ad2aLVcvp+cK/Y9dIkiRJRZbjkCSpxJpffSdGHHoGZ819jkO+nhs7R5IkSSqSHIckSSXanUecy4LK29BvyjBKZ6+JnSNJkiQVOY5DkqQSbUWZ8lzf6GL2WPwVF8x+MnaOJEmSVOQ4DkmSSrzn6jZg6m4NuPzVh6i5ZGHsHEmSJKlIcRySJGWE6xtdDMB1z90XuUSSJEkqWhyHJEkZ4Zsq23DnEa1o8skMjp//RuwcSZIkqchwHJIkZYx/HdKMj6vtxA3P3Uv51Sti50iSJElFguOQJCljrM4qQ+/Gndjx1x/o8vr42DmSJElSkeA4JEnKKDN32pdH9zmeDjMfY9fFX8fOkSRJkqJzHJIkZZybjr2AZWXL02/qMEiS2DmSJElSVI5DkqSM8+MWWzHwmHYc/tV7NPvgxdg5kiRJUlSOQ5KkjPTw/k2Ys/3u9Jr2LyqvWBo7R5IkSYrGcUiSlJGSUIprm1zC1suX0P2l0bFzJEmSpGgchyRJGev9bXdl1EGncv7bz7Dfdx/HzpEkSZKicBySJGW0245uw6JKVek3ZRilcrJj50iSJEmFznFIkpTRlparSL/jLmS/7+dz3pz/xs6RJEmSCp3jkCQp4/1nr4a8XPsArpw+ihpLf46dI0mSJBUqxyFJkkKgT+NOlMtexbUv3B+7RpIkSSpUjkOSJAGfb70D9zQ4i+YfTOeIL+bEzpEkSZIKjeOQJElpww5ryRdbbc+NU++h7JrVsXMkSZKkQuE4JElS2soy5bjuxI7s+tMCLnrjsdg5kiRJUqFwHJIkKZfpuxzM03scyaWvP8KOv3wfO0eSJEkqcI5DkiStpe8JF7GmVBY3TL0HkiR2jiRJklSgHIckSVrLD1tWZ8hR53H8Z7Np8snrsXMkSZKkAuU4JEnSOow8+HTm1ajDdc/dR8VVy2PnSJIkSQXGcUiSpHXILpXFtY0voeZvi7ns1Ydj50iSJEkFxnFIkqS/8VatvXh4v8ZcOOsJ9lj0RewcSZIkqUA4DkmStB63HNueJeUr0W/yMEKSEztHkiRJyneOQ5IkrccvFSoz4Nj2HPLNB7R87/nYOZIkSVK+cxySJGkDJu7biFk77E3PF//NVsuXxM6RJEmS8pXjkCRJG5CEUvRq0pnKK5Zy9YsjY+dIkiRJ+cpxSJKkPPioRh3+dUhzWr07hYMWzIudI0mSJOUbxyFJkvLojiNb8e2W1ek/ZShZOdmxcyRJkqR84TgkSVIeLStbgRtO6MBei76g/Zv/iZ0jSZIk5QvHIUmSNsLk3Q9n2i716frKWLZbsjh2jiRJkrTZHIckSdoYIXDdiR0pnZNN72kjYtdIkiRJm81xSJKkjfT1Vttx1+HncOpHr3LMZ2/GzpEkSZI2i+OQJEmbYMShLfh061r0nTqccqtXxs6RJEmSNpnjkCRJm2BV6TL0atyJ2r98T+cZE2PnSJIkSZvMcUiSpE30eu39eWLvY+g4cwJ8/HHsHEmSJGmTOA5JkrQZ+h/3D1ZmlYVLLoEkiZ0jSZIkbTTHIUmSNsOiSlW5tWEbeO45GD8+do4kSZK00RyHJEnaTGMOPAUOPhi6doUlS2LnSJIkSRvFcUiSpM2UUyoL7rkHvv8eeveOnSNJkiRtFMchSZLyQ/360KkT3H03vPVW7BpJkiQpzxyHJEnKL/37Q/XqqZEoJyd2jSRJkpQnjkOSJOWXrbaC226DN96AESNi10iSJEl54jgkSVJ+Ou88OO446NEDFi6MXSNJkiRtkOOQJEn5KQQYNgx+/x2uvDJ2jSRJkrRBjkOSJOW3PfdMDUOjRsH06bFrJEmSpPVyHJIkqSBcey3UqQOdO8OqVbFrJEmSpL/lOCRJUkGoWBHuugs++ACGDIldI0mSJP0txyFJkgrKaadB8+bQty98+WXsGkmSJGmdHIckSSpId9yR+vuf/4zbIUmSJP0NxyFJkgrSTjvB9dfDpEmpP5IkSVIR4zgkSVJBu/xyqFcvdfbQ77/HrpEkSZL+xHFIkqSCVqYMDB+euu5Qv36xayRJkqQ/cRySJKkwHH00tG8Pt96a+g1mkiRJUhHhOCRJUmEZOBC23BI6d4YkiV0jSZIkAY5DkiQVnho14OabYfp0GDMmdo0kSZIEOA5JklS4/vEPOOwwuOIK+Pnn2DWSJEmS45AkSYWqVKnUxal//BGuuSZ2jSRJkuQ4JElSoTvggNSvtb/3Xnjjjdg1kiRJynCOQ5IkxXDDDbD99tCxI2Rnx66RJElSBnMckiQphsqVYcgQePttGDYsdo0kSZIymOOQJEmxnHUWNG4MvXrBd9/FrpEkSVKGchySJCmWEGDoUFi5Erp1i10jSZKkDOU4JElSTLvtBj17wrhx8NxzsWskSZKUgRyHJEmK7eqrUyPRJZekziKSJEmSCpHjkCRJsZUvn3p72ccfw8CBsWskSZKUYRyHJEkqCho3hrPPhv794dNPY9dIkiQpgzgOSZJUVAwZAmXLQpcukCSxayRJkpQh8jQOhRBOCiF8FEKYH0LosY77u4UQPgghvBtCeD6EUDvXfe1CCJ+k/7TLz3hJkkqUmjWhb1949ll47LHYNZIkScoQGxyHQghZwFDgZGBvoFUIYe+1DnsbqJ8kyX7ARGBg+rFbA9cBDYBDgetCCFXzL1+SpBKmSxc44AC47DL47bfYNZJUOFat8oxJSYooL2cOHQrMT5LksyRJVgHjgGa5D0iS5IUkSZalP50B1Ep/3ASYmiTJT0mS/AxMBU7Kn3RJkkqg0qVh+HD49lu4/vrYNZJU8KZNS5052bgx/Phj7BpJykil83DMDsDXuT5fQOpMoL9zIfDf9Tx2h7UfEELoAHQA2GmnnfKQJElSCXbYYXDRRXDHHdCuHey3X+wiSWup0+Pp2AnFX5LQ7q2n6P38CBZU2ZbtX3iR73fbh4ta9OLjGnVi1xV7X9x8auwEScVIvl6QOoRwPlAfGLQxj0uS5L4kSeonSVK/Ro0a+ZkkSVLxNGAAVK0KnTpBTk7sGknKV2XXrObmZ+/ihufuZdpuh3Jq+zs4t9XNVFi9ksfGXMmJn8yInShJGSUv49A3wI65Pq+Vvu1PQgiNgGuBpkmSrNyYx0qSpLVsvTUMGgSvvQb//nfsGknKN9V//5mHxl3Due9O4c7Dz+HiM67h93IVeXuHPTm93RDmV6vFiMf60eW1cV6HSJIKSV7GoVlA3RDCziGEssC5wKTcB4QQDgTuJTUMLcx112SgcQihavpC1I3Tt0mSpA1p1w6OPhquugoWL45dI0mbbZ/v5zPpwa7svfAzOjfrweCGbUjC//+R5Ictq3NOq5t5rN5xdH95DHc/eQsVVq2IWCxJmWGD41CSJGuALqRGnXnA+CRJ3g8h9A0hNE0fNgioBEwIIcwJIUxKP/Yn4EZSA9MsoG/6NkmStCEhpC5OvWQJXH117BpJ2iynfzCdiWOvIicEWp43iGf2PGqdx60sU45up3aj/7EXcPLHr/Ho2KOF26wAACAASURBVCvZ4deF6zxWkpQ/8nJBapIkeQZ4Zq3b+uT6uNF6HvsA8MCmBkqSlNHq1YNu3WDgQLjgAjjyyNhFkrRRSuVk0/3l0XSeMZGZterRuXlPftxiq/U/KARGNGjBxzVqc9ekgTw5qiudm/fkjR33KZxoScow+XpBakmSVAB694Ydd4SOHWH16tg1kpRnlVYuY8Rj/eg8YyJjDziJ88/tt+FhKJfpuxxM8za38Wv5LRk77lpaz/nvhh8kSdpojkOSJBV1lSrBnXfC3LmpvyWpGKjz0zc8PvoKGn7+Fr0ad+baJl1YnVVmo5/ns2q1OKPNrbxS5wBumjyUG6cMo3T2mgIolqTM5TgkSVJx0KwZnHYaXHcdfP117BpJWq+jP3+LJ0d1o9qyXzn/nH6MOfCUzXq+JeUrceGZfbinwZm0efsZxj7Si62X/ZpPtZIkxyFJkoqDEFJnDeXkwOWXx66RpHVLEi6c9QQjJ1zPt5Vr0LTdEGbutG++PHVOqSxuPvb/uOy0K9j/u4+Z9GBX9lr4Wb48tyRlOschSZKKi513hl694LHH4JlnNny8JBWicmtWceszt9N72v1MrnsYZ54/iAVVts3313my3nGc1foWsnKyeXTMlZz00av5/hqSlGkchyRJKk66d4c994RLL4Xly2PXSBIA2/z2I+Me6knLuc8z+KjzuKR5D5aVrVBgr/fe9nVp2m4IH9aowz1PDKDry2MJSU6BvZ4klXSOQ5IkFSdly8KwYfDZZ3DTTbFrJIn9v/2ISaO6svviL7n4jGu488hWJKHgf8xYVGlrzm11M+P3bcRlrz3M8CcGsMXKZQX+upJUEjkOSZJU3Bx3HJx/PtxyC3z0UewaSRnsjLnTGP9QD1ZllaFFm1uZvPsRhfr6q0qX4aqTL+OGEy7ixE9m8uiYK9nxl+8LtUGSSgLHIUmSiqNbb4WKFeGSSyBJYtdIyjClcrLp+cIDDHl6MG/usBfN2g7moxp14sSEwL/rN6Pt2X3ZbumPTHqwK4d/+U6cFkkqphyHJEkqjrbdNvW2suefh3HjYtdIyiCVVyzlgYl9ufiNxxh50Gm0PbsvP1esEjuLV+scQLO2g1m0RVVGP9Kbtm/+x/FckvLIcUiSpOLq4ouhfn3o1g1+/TV2jaQMsOuPX/P46Cs44st36NGkC9ef2JE1WaVjZ/3Pl1Vr0qLNrbywa336PncvA569izLZq2NnSVKR5zgkSVJxlZUF99wDCxemfsW9JBWgYz+dxeOjrqDyit9p3ao/4w44KXbSOi0tV5EOLXpx1+Hn0OrdKTz08LVU//3n2FmSVKQ5DkmSVJwdfDB07pz6DWZvvhm7RlJJlCRcPHMiD0zsy1dVt6dZu8HMrlUvdtV6JaEUtzVsQ5emV7HPD5/y5IPdqPf9/NhZklRkOQ5JklTc3Xgj1KgBnTpBdnbsGkklSLnVK7n9qVvp+eJInt7zKFqedwvfVt4mdlaePbVXQ1qePxCAiWOv5vQPpkcukqSiyXFIkqTibqutYPBgmDUL7rsvdo2kEmK7JYuZ8NDVNP3gJQY2bMulTa9iRZnysbM22vvb7kqzdoN5b7tdues/g7hy+oOEJCd2liQVKY5DkiSVBK1awQknQM+e8MMPsWskFXMHLZjHf0Zdzs4/fcNFZ/Zi2OFnQwixszbZ4i2qct65/Xlo/5O4ZMYERjx6I5VWLoudJUlFhuOQJEklQQgwdCgsWwbdu8eukVSMnfXuFB4e15Pfy1TgjDa38fxuDWIn5YvVWWW4pskl9DqxE8d+9iaPj76COj99EztLkooExyFJkkqKPfaAq66CMWPgxRdj10gqZrJysunz3H0M+u+dzNxxX5q1Hcz86jvFzspfITDmoFM5/9x+VFv2K0+O6sbRn78Vu0qSonMckiSpJLn2Wth559RvMFu1KnaNpGKiyvLfGDn+Oi54cxL312/G/511Pb9W2DJ2VoGZsdN+NG07mG8r12DkhOu5cNYTkCSxsyQpGschSZJKkgoV4O67Yd48uO222DWSioG6i77kyVHdOHTBXLqfcjn9TriI7FJZsbMK3IKttuPM8wcxtW4Dek+7n1ufuZ1yaxzVJWUmxyFJkkqaU06BFi1Sv+L+889j10gqwhp9MpPHx3Sn4uoVnNvqZibu2yh2UqFaVrYCnZr3ZMiRrWk593nGPdSTGkt/ip0lSYXOcUiSpJLo9tuhVCn45z99q4Skv0oSLnntEe57rB/zq9Xi9HZDeHuHPWNXRZGEUtxxVGs6Nu/J7ou/5D8PXs5+330cO0uSCpXjkCRJJdGOO8L118NTT8GkSbFrJBUhFVat4O5JA7ny5dE8Ue9Yzml1Mz9sWT12VnTP7nEkZ54/iNVZZZgw9mqav/9C7CRJKjSOQ5IklVSXXQb77JM6e+j332PXSCoCai5ZyMSxV3HyR6/S/9gL6HZqN1aWKRc7q8j4cJudadp2MG/tsCe3P3UbPV94gFI52bGzJKnAOQ5JklRSlSkD99wDX30FffvGrpEU2SFfz2XSg13Z8dcfuPDMPoxo0AJCiJ1V5PxcsQptzr6RUQeeysVvPMYDE/tSecXS2FmSVKAchyRJKsmOPBIuuAAGD4a5c2PXSIqk1ZxneWjctfxavhLN29zGi7vWj51UpK3JKk2fxp3o2aQLR345h8dHX8EuPy6InSVJBcZxSJKkku6WW6ByZejc2YtTSxmmdPYa+k4ZzoDJd/Nq7QM4o81tfFatVuysYuPhA06i9bn9qbJiKU+M6saxn86KnSRJBcJxSJKkkq569dRA9PLLMGpU7BpJhaTqsl8ZPb43bd9+mnsObcEFLfuwpHyl2FnFzqwd96FpuyF8vdV2PDCxLxfPnOjQLqnEcRySJCkTXHABHH44dO8OP/0Uu0ZSAdtz4edMGtWNA7/9iMtOu4Kbj7uAnFJZsbOKrW8rb0PL8wbyzJ5H0fPFkQx56jbKrV4ZO0uS8o3jkCRJmaBUqdTFqX/+GXr2jF0jqQA1+eg1Hh1zJWWyV3N265t5st5xsZNKhOVly9Ol6VUMbNiWMz54kfEP9WC7JYtjZ0lSvnAckiQpU+y3X+rX2o8YATNmxK6RlM9CksPlr4zl3idu4qMatTm93e28u/3usbNKlhAYdvjZ/KNFb3b9aQGTRnXloG/mxa6SpM3mOCRJUia54QaoWRM6dYI1a2LXSMonFVctZ/gTA7j81YeZsE8jzm11M4sqbR07q8R6rm4Dzjj/VpaVKc/DD/fkrHenxk6SpM3iOCRJUibZcku4/XaYMweGDo1dIykf1Prlex4dcyUnfjKTvsdfxJWnXMaq0mViZ5V4n9SoTbO2g3mj1j4M+u8d9HnuPrJysmNnSdImcRySJCnTnHkmnHQS9O4N334bu0bSZjj8y3eZNKob2/+2mHZn3cADhzSDEGJnZYxfK2xJ+7Nv4IGDm3LBm5MYOf46qiz/LXaWJG00xyFJkjJNCHDXXbBqFXTtGrtG0qZIEtq89RSjH+nFjxWr0KztYF7Z+cDYVRkpu1QWfRt14MqTL+PQBXN5clQ36i76MnaWJG0UxyFJkjLRbrvBNdfA+PEwZUrsGkkboUz2am6afDc3Tr2HF3atzxltbuPLqjVjZ2W8CfudSKtWA9hi9XIeH9OdRp/MjJ0kSXnmOCRJUqa6+mqoWxcuuQRWrIhdIykPqv3+C2PHXUvrdyZz9+Fn06FFL5aWqxg7S2lv7bAXp7e9nc+23oH7HuvHJa89AkkSO0uSNshxSJKkTFWuHAwbBvPnwy23xK6RtAH1fviUSQ92Zd/vP6VL06u4tWFbkuC/zhc131euzlmtb2HS3g258uXR3D1pIBVWOcBLKtr8fxNJkjJZo0Zw7rkwYEBqJJJUJJ027yUmjrkKgJbn3cJTezWMXKT1WVmmHJef1p0Bx7bnlA9fYeLYq6i5ZGHsLEn6W45DkiRluttug7JloUsX3/4gFTEhyaH7S6O4e9JA3ttuV5q1G8z72+0WO0t5EQL3NmjJBS37sOMv3zPpwa4c8vXc2FWStE6OQ5IkZbqaNaFfP5g8GSZOjF0jKa3SymXc91g/urw+nof2b8J55/Zn8RZVY2dpI7246yGc0fY2fi1fibHjetFqzrOxkyTpLxyHJEkSdO4MBx4Il18OS5bErpEyXu2fv+Wx0d057tPZ9D6xI9c06cLqrDKxs7SJPq22I2e0uY3Xau/PgMl303fKcEpnr4mdJUn/4zgkSZKgdGkYPhy++w6uuy52jZTRjvxiDk+O6kb1Zb/Q5px+jD7oNAghdpY205LylbigZR/uPbQFbd9+mtHje1N12a+xsyQJcBySJEl/aNAAOnSAO++EOXNi10iZJ0m4YNaTjBrfh++2rE7TtoN5vfZ+sauUj3JKZTHguAvoemo3DvrmQyaN6saeCz+PnSVJjkOSJCmXAQOgWjXo1AlycmLXSBmj7JrVDHrmDvpMG8HUug048/xBLNhqu9hZKiCP73M8Z7e+mTLZq3l0zJU0+ei12EmSMpzjkCRJ+v+qVoVbb4UZM+Bf/4pdI2WEGkt/YtzDPThr7nPcfmQrOjXvybKyFWJnqYC9U3MPmrYdwsfVa3PvEzdx+StjCYmjvKQ4HIckSdKftWkDDRvC1VfDokWxa6QSbb/vPmbSg13Zc9EXdGzek9uPOo8k+K/omWLhltU4t/UAJu5zApe/+jDDnriZiquWx86SlIH8fx5JkvRnIcCwYfDbb3DVVbFrpBKr2fsvMGHs1azJKk2L82/l2T2OjJ2kCFaWLkv3Uy7nxuP/QeNPZvDomCup9cv3sbMkZRjHIUmS9Ff16sEVV8DIkfDyy7FrpBKlVE42PV54gDueuo23a+5B07aD+XCbnWNnKaYQ+NchzWl/1vXUXLKISaO6cfiX78aukpRBHIckSdK69e4NtWtD586wenXsGqlEqLxiKf96tC8d33iMUQeeyvnn9OPnilViZ6mIeHnng2jWdjA/VqzC6Ed6cf5bT0OSxM6SlAEchyRJ0rptsUXq19rPnQu33x67Rir2dvlxAY+P7s5RX8yhZ5Mu9GnciTVZpWNnqYj5YusdOKPNbby4y8H0mzqcmyYPpUy2A72kguU4JEmS/l7Tpqk/118PX30Vu0Yqto79dDZPjL6CKit+o/W5/Xn4gJNiJ6kIW1quIh1a9GLoYWfR+p1nGTvuWqr9/kvsLEklmOOQJElavzvuSL2t4fLLY5dIxU+S0GHmo/zr0b58XWVbmrUdwqwd94ldpWIgp1QWg45px6WnX8m+33/KpAe7Uu+HT2NnSSqhHIckSdL61akDffrA44/D00/HrpGKjXKrVzL46cFc8+K/+e/uR9DyvIF8U2Wb2FkqZv6z9zG0PO8WAgkTx1zFafNeip0kqQRyHJIkSRvWrRvsvTd06QLLlsWukYq8bX9bzCMP96DF+y8w6Og2dGl2NcvLlo+dpWLq/e12o2m7IczddlfunjSQK14aTUhyYmdJKkEchyRJ0oaVLQvDhsEXX0D//rFrpCLtwG8+5D8PdmW3Hxfwjxa9GXrEORBC7CwVc4u3qMp55/Zn3H6NufT1R7jvsX5UWulYLyl/OA5JkqS8OeYYaNMGBg2CefNi10hFUsv3nmPcwz1YVqY8Z5x/K8/VbRA7SSXIqtJl6HHSpfRpdDHHfTqbx0Z3p/bP38bOklQCOA5JkqS8u/XW1K+4v+SS1EWqJQGQlZNN7+dHcOsztzOrVj2atR3MJzVqx85SSRQCow4+nTbn3EiN33/myVHdOPKLObGrJBVzjkOSJCnvttkGBgyAF16Ahx6KXSMVCVWW/8a/J1zPhbOf5IGDm9Lu7L78WmHL2Fkq4V6vvT9N2w3h+0rVGDW+D/83+0lHe0mbzHFIkiRtnA4d4NBDUxep/uWX2DVSVLst/oonRnfjsK/e48qT/0nfRh3ILpUVO0sZ4uuttuPM8wfx3G6Hct3zIxj43zsou2Z17CxJxZDjkCRJ2jilSsHw4bB4MVx7bewaKZoT5s/k8dFXUGnVcs5tNYAJ+zWOnaQM9Hu5inQ84xruOKIVZ6eveVVj6U+xsyQVM45DkiRp4x10UOq6Q8OHw+zZsWukwpUkdH59PCMe7cfnW+/A6W1v561ae8WuUgZLQimGHH0enZr1YM9FXzDpwa4wa1bsLEnFiOOQJEnaNDfeCNtuCx07QnZ27BqpcCxbBq1acdVLo5i0d0POan0L31euHrtKAuC/ex7FmecPSr21sWFDGDs2dpKkYsJxSJIkbZoqVWDIEHjzTbjnntg1UsH76is46igYP54Bx7bn8tO6s7JMudhV0p/M22YXmrYbAg0awPnnw9VXO+BL2iDHIUmStOnOOQcaNYJrroHvv49dIxWcV16BQw6BTz+Fp57i3gYtIYTYVdI6/VSxCkydCp06wcCBcPrp/gIBSevlOCRJkjZdCDB0KKxYAd27x66RCsaIEXD88bDVVjBzJpxySuwiacPKlIFhw1LXhps6FQ47DD7+OHaVpCLKcUiSJG2e3XdPvW1h7FiYNi12jZR/Vq+GLl2gQ4fUODRzJuy5Z+wqaeN07AjPPw8//giHHgrPPhu7SFIR5DgkSZI2X8+esMsu0LkzrFwZu0bafIsXQ5MmqTPjuneHp59OnTkkFUcNG6Z+e1mdOnDqqXDrrZAksaskFSGOQ5IkafNVqAB33w0ffZT6oUMqzt57L3WGxWuvwahRMGgQZGXFrpI2T5068OqrcOaZcOWV0LYtLF8eu0pSEeE4JEmS8sfJJ6d+6OjXDz77LHaNtGkefxwOPzx1Ha2XXoI2bWIXSflniy3gkUfgxhthzBg45hj45pvYVZKKAMchSZKUf26/HUqXhksv9S0LKl5ycqBvX2jRAurVg9mzU2cPSSVNCNCrFzzxBMybB/Xrw4wZsaskReY4JEmS8k+tWnDDDfDMM6kfPKTiYOlSOPtsuO661Fttpk+HmjVjV0kFq1kzeP11qFgxdQbRgw/GLpIUkeOQJEnKX//8J+y3X+rvpUtj10jr98UXcOSRqbeTDR4MI0dC+fKxq6TCsc8+8MYbcNRR0L49dOsGa9bErpIUgeOQJEnKX6VLw/DhsGBB6iwiqaiaPh0OOQS++ip1tlvXrqm33EiZpFo1mDw5NegPGQKnnAI//xy7SlIhcxySJEn574gj4MILUz9ozJ0bu0b6q+HDoVEjqFEjdeZEkyaxi6R4SpeGO+6A+++HF19MXW9r3rzYVZIKkeOQJEkqGLfcAlttBZ06pS72KxUFq1ZBx47QuXNqEJoxA+rWjV0lFQ0XXggvvABLlkCDBvDUU7GLJBUSxyFJklQwqlWDgQPhlVe80KmKhoULU2cL3Xsv9OwJTz4JlSvHrpKKliOPTP22vrp1oWlTGDDA3z4pZYA8jUMhhJNCCB+FEOaHEHqs4/6GIYS3QghrQggt17ovO4QwJ/1nUn6FS5KkYqB9+9QPGldeCT/+GLtGmWzOnNT1hWbNgocegptugqys2FVS0bTjjvDyy3DOOXDNNdC6NSxbFrtKUgHa4DgUQsgChgInA3sDrUIIe6912FdAe+ChdTzF8iRJDkj/abqZvZIkqTgpVQqGDYNffoEef/nvS1LhmDAhdR2snJzUmWytWsUukoq+ihVTQ+qAAfDII3D00fD117GrJBWQvJw5dCgwP0mSz5IkWQWMA5rlPiBJki+SJHkX8IICkiTpz/bbDy6/PHWh09dfj12jTJKTA717w9lnw4EHpt4qc/DBsauk4iOE1LD/n//A/PlQvz68+mrsKkkFIC/j0A5A7ol4Qfq2vCofQpgdQpgRQmi+rgNCCB3Sx8xetGjRRjy1JEkqFq6/HmrVSl2ces2a2DXKBL/9Bi1aQL9+qYvsTpsG224bu0oqnk49NXXx9sqV4bjjUmO/pBKlMC5IXTtJkvpAa+D2EMKuax+QJMl9SZLUT5Kkfo0aNQohSZIkFapKlVK/Jvmdd+Cuu2LXqKT79FM4/PDUb1q6804YMQLKlYtdJRVve+0Fb7yRGocuugguvRRWr45dJSmf5GUc+gbYMdfntdK35UmSJN+k//4MeBE4cCP6JElSSXHGGXDyydCnDyxYELtGJdXzz6cuPP3ddzB5cuoH2BBiV0klQ9Wq8PTTcMUV/L/27j1e07HeH/jnmhmHSnKs5BBJ7XTuNzPIISVnoqIUnVRKFCFRIqdCZMsxoe2wSyplkmMRCWMmUUkiWxu1c4wIY7h+f1zr99v2bLLGrJl7Pet+v1+v9ZpnPYe1PuPlnrXuz3Nf3ytHHZWsv77NBmCMGE45NC3JSqWUFUop8yfZKsmwdh0rpSxaSllg6PYSSVZP8rtnGhYAGGCltJOJmTOTXXbpOg1jTa3tKqH1109e9KK2K9k663SdCsaeCROSQw9NTj45ufzyVsb+5jddpwLm0NOWQ7XWmUl2THJ+kuuTnFFrva6Usl8p5W1JUkqZVEq5LcmWSb5eSrlu6OWvSDK9lHJtkouTHFRrVQ4BQF+95CXJ5z/fdo86//yu0zBWPPJI8pGPJDvtlGyySRt8/pKXdJ0Kxrb3vz+55JLk4YfbMs4f/KDrRMAcGNbMoVrrObXWl9VaV6y1Hjh039611ilDt6fVWpeptT6n1rp4rfWVQ/dfXmt9da31tUN/njj3/ioAwED4zGeSl7882WGH5KGHuk7DoPuv/2ozUE46qS1ZPPPM5LnP7ToV9MMqq7RdAF/5yjYAfr/92i6BwMCZFwOpAQD+2wILJEcf3YYGH3RQ12kYZNOntyUt117brkbbd99knF9vYZ560YvaFUTve1+yzz7Ju96VPPBA16mA2eSnJwAw762zTvKe97Ry6MYbu07DIPrWt5I110zGj09+8Ytkiy26TgT9teCCbQbRoYe25WWrr57cckvXqYDZoBwCALrx1a+2E4oddmjDhGE4Hnss2WOPZOutk8mT2+Dp172u61RAKW0Xs3POSf70p3ZV3yWXdJ0KGCblEADQjRe+MDnwwOTCC5Mzzug6DYPgvvuSt70tOfjg5OMfb//vLLlk16mAJ1p//eSqq5LFF0/e+tbk2GO7TgQMg3IIAOjO9tsnb3hD8ulPJ/ff33UaRrM//CFZddXkggvayeaxxybzz991KuDJvOxlydSpyXrrJZ/4RCtzZ8zoOhXwTyiHAIDujB+fHHdc23HqC1/oOg2j1fnntyVkd92V/OQn7UQTGN2e97xkypTks59Nvv71dhXRHXd0nQp4CsohAKBbkya1k/2jjkp+9auu0zCa1Jocdliy0UbJi1/c5gu96U1dpwKGa/z4tvHAv/97O34nTUquuabrVMCTUA4BAN370peSJZZoy8wef7zrNIwGDz+cfOADyW67Je94R3L55cnyy3edCngm3vve5Oc/bwPlV189+e53u04EzEI5BAB0b5FF2hUiU6cm3/hG12no2p//3K4QOvXUZL/92sDy5zyn61TAnJg4MZk+PXnta5N3vastJfZmAIwayiEAYHTYeutk7bXbNuXmUvTX1KntJPJ3v0t+8IN2AllK16mAkfDCFyYXX5xsu21ywAHtqsC//73rVECUQwDAaFFKcswxyYMPJrvv3nUaunDKKe2KoQUXTK64Itl8864TASNtgQWSE05IjjgiOfvsZLXVkj/+setU0HvKIQBg9HjFK9qMmZNPTi69tOs0zCszZya77tpmDK2+ehtc+6pXdZ0KmFtKST71qbYT4Z//3HYj/OlPu04FvaYcAgBGl732aoOHt98+mTGj6zTMbffem2y8cfLVryaf/GRy3nnJ4ot3nQqYF9ZZp5XBSy2VrL9+8rWvtV0KgXlOOQQAjC7PfnZy5JFt5szhh3edhrnp+uuTVVZpM0hOOKGdGM43X9epgHlpxRXbMtKNN0522in5yEeSRx7pOhX0jnIIABh9Ntkk2WyztlPVn/7UdRrmhh//uBVD993XyqEPf7jrREBXnvvcNoB+r72Sk05K3vKW5L/+q+tU0CvKIQBgdPra19qfO+3UbQ5GVq3JQQclm26arLRS29p69dW7TgV0bdy4ZP/9kzPOSK65Jpk0KfnlL7tOBb2hHAIARqfllkv22Sc566zkRz/qOg0j4R//SLbeOtlzz+Td705+/vNk2WW7TgWMJltumfziF60sWmON5Nvf7joR9IJyCAAYvT796WTlldug4gcf7DoNc+LWW5M110xOPz358peTb32rzZcCmNXrXtcGVU+alLz3vckeeySPPdZ1KhjTlEMAwOg133zJsce2uUMHHNB1Gp6pyy9vJ3k33phMmdJO9ErpOhUwmj3/+clPfpJ87GPJwQe3OXT33dd1KhizlEMAwOi21lrJBz6QHHpo28GMwXLiicnaa7eBs1OntmHjAMMx//zJccclxxyTnH9+suqqyR/+0HUqGJOUQwDA6PeVr7RyYYcd2kBjRr9HH00+9am2LfWb35xcdVXyild0nQoYRNtv364iuvPOtsvh+ed3nQjGHOUQADD6Lblk2+HqZz9LTjut6zQ8nbvvTjbYIDnyyGSXXdq29Ysu2nUqYJC96U1td8Pllks22ig57DBvFsAIUg4BAIPhIx9p7xjvumty771dp+Gp/Pa3yeTJyWWXJf/2b+0EbsKErlMBY8Hyy7edzN7+9mS33dqS44cf7joVjAnKIQBgMIwb14ZT33138vnPd52GJ3PWWclqqyUPPZRcemk7cQMYSQstlJxxRrLvvsmpp7Yriv78565TwcBTDgEAg+P1r2/b2h93XJthw+hQa7L//snmm7e5QtOnt6u8AOaGceOSvfdOzjwzue66ZOLENvAeeMaUQwDAYNlvv2SppdqA0sce6zoNDz6YvOtd7UTtfe9rVwy96EVdpwL64O1vT664IllwwXYF0SmndJ0IBpZyCAAYLAsvnBx+eHL11W17Y7rzpz8lq6/e3r0/9NDk5JPbSRrAvPLqCi9ElgAAGUJJREFUV7crSd/4xraUddddk5kzu04FA0c5BAAMni23TNZdN9lrr+Qvf+k6TT9demlbynHLLW03sl13TUrpOhXQR0ss0ba333HH5KtfTTbe2MYFMJuUQwDA4CklOfro5JFHWinBvHXccck66ySLL97esd9gg64TAX0333zJkUcmxx+fXHxxm3t2/fVdp4KBoRwCAAbTSisle+yRfPvbyU9+0nWafpgxo8162n77ZL312gDYl72s61QA/+2jH00uuii5775k1VXblY3A01IOAQCDa489khVXTHbYoV1FxNxz551tKd9xxyWf/WwyZUryvOd1nQrgf1tjjWTatPbzYdNNk4MPbrsqAk9JOQQADK4FF2zLy/7wh+SQQ7pOM3Zde20yaVJbQnbaaclBByXjx3edCuCpLbdcctllbTfFPfZItt46+cc/uk4Fo5ZyCAAYbOuv3wZUH3hg8sc/dp1m7Pne99ouQDNnJj//eTvBAhgEz352W3r8pS8lp5+erLlmcuutXaeCUUk5BAAMvsMPb8NIP/lJSwdGyuOPJ3vv3Yq31762LdGYOLHrVACzp5Rkzz2Ts85KbryxXQV5+eVdp4JRRzkEAAy+pZdO9t8/Offc5Mwzu04z+P7+9+Sd72z/Tbfdtu38s9RSXacCeOY23TS58spkoYWStddOTjyx60QwqiiHAICxYccd2xUuO+3Uyg2emZtvbsvIfvSj5IgjkhNOSBZYoOtUAHNu5ZXb7LQ3vSn5yEeST32qLZkFlEMAwBgxYUJy7LHJ7bcnX/xi12kG00UXtSUXt9+enHdeO3EqpetUACNnscXaVaY775wceWSbW3f33V2ngs4phwCAsWO11ZKPfrRd8fLrX3edZnDUmhx1VLLeeskLX9jmC731rV2nApg7Jkxos+q++c22o9nkyclvf9t1KuiUcggAGFsOOihZdNFk++3bUGX+uRkzku22a8O8N944ueKKZMUVu04FMPd98IPJJZe0Le5XW60NrYaeUg4BAGPLYoslX/lK243mm9/sOs3o9te/Jm95S5srtNdeyQ9+kCy8cNepAOadVVdNpk9PXvGKZPPNkwMOsOslvaQcAgDGnve/P1ljjWT33ZO77uo6zej0y1+2remvvjr5znfazmTj/GoI9NDSS7criLbZJvnCF5J3vzt58MGuU8E85TcAAGDsGTeuDae+//5kjz26TjP6nH56K89KSX7xi+Rd7+o6EUC3nvWs5JRT2pWn3/9+svrqyZ/+1HUqmGeUQwDA2PSqVyWf/nRy4omtACF57LFkzz2T97ynXTU0fXry+td3nQpgdCgl2W235Oyzk1tuaf9OXnpp16lgnlAOAQBj1957J8su24ZTP/po12m6df/9yWabtYHd222X/PSnyfOf33UqgNFnww2TqVPbDLt11kmOO67rRDDXKYcAgLFroYXatva/+U3yta91naY7N97Yhq6ef35y9NHtRGf++btOBTB6vfzlrSB661vbGwyf+IQ3GRjTlEMAwNi2+eZti/Z99kluu63rNPPeBRckkycnd9yRXHhhO8EppetUAKPfIou0JWaf+UybY/fWtyZ33tl1KpgrlEMAwNhWSnLkkcnjjyc779x1mnmn1uTww9vyiGWXTaZNS9Zeu+tUAINl/PjkkEOS005LrroqmTQpufbarlPBiFMOAQBj3worJHvt1XagOffcrtPMfQ8/nHzoQ8kuu7Qrpy6/vP03AOCZ2XrrNpz60UeTN76x/TyBMUQ5BAD0w667thkSO+6YPPRQ12nmnr/8pV0hdPLJyRe/mHz3u232EgBzZtKktsvja16TbLFFW678+ONdp4IRoRwCAPphgQWSY45Jbr45+dKXuk4zd1x1Vdt6+be/be9q77NPMs6vewAjZqmlkp/9LPngB5P99msl0d//3nUqmGN+WwAA+uMtb2lLAw45JLnhhq7TjKxTT03WWqvtQnbFFck73tF1IoCxaYEFkpNOanPdzjqrLTO7+eauU8EcUQ4BAP1y2GHJs56V7LBDG9o86B57rO2k8/73J6ut1gZPv/rVXacCGNtKaZscnHdecvvtbcnZRRd1nQqeMeUQANAvL3hBW1b2058mp5/edZo587e/JZtskhx6aCu7LrggWWKJrlMB9Me667YlvS94QbLeeslRR42NNx7oHeUQANA/H/tYm82zyy7Jffd1neaZ+f3vk1VWaSXX8ce3E5L55us6FUD/vPSlyZVXJhttlHzyk8l22yUzZnSdCmaLcggA6J/x45Njj03++tfkC1/oOs3sO+ecVgzde29bxvDRj3adCKDfFl44+eEPk899LjnhhDbj7q9/7ToVDJtyCADop4kTk098Ijn66OTqq7tOMzy1tmHam2ySrLhi21J5jTW6TgVA0naHPPDAtmT56qvbz5lB+flC7ymHAID+OuCAZMklk49/vA12Hs0eeijZZpvks59NttwyueyyZLnluk4FwKze/e72b3QprcAf9Pl29IJyCADor0UWabuXTZvW5vaMVrfd1rap//a3//td6Wc/u+tUADyVN7yh/Wz5P/8nec972nKzxx/vOhU8JeUQANBv731vmw2x556jcz7EFVe0pQk33JCcdVY7wSil61QAPJ0XvKBtGvDRjyZf/nKy2WbJ/fd3nQqelHIIAOi3UtrcoX/8I/nMZ7pO8z9985vJ2msnCy3UdsLZdNOuEwEwO+afP/n619uOkueem6y6anLjjV2ngv9FOQQA8C//kuy+e3LqqcnPftZ1mmTmzGTnnZNtt23Lya66Kll55a5TAfBMlJLssENy4YXJHXckkycnF1zQdSr4H5RDAABJW661/PJtB7MZM7rLcc89yYYbJkcc0Qqic89NFlusuzwAjIw3v7nNIVp22fbv/OGHt10oYRRQDgEAJG3A81FHJddf34ZUd+G669o7ypdempx0UjtxmDChmywAjLwVVkguv7zNH9pll+RDH0oefrjrVKAcAgD4/zbeOHn725P9909uuWXefu8pU9osigcfbEvbPvShefv9AZg3Floo+d73kn32SU4+uc2W+8tfuk5FzymHAACe6IgjknHjkk99at58v1rb9vSbb95mH02blqy22rz53gB0Y9y45ItfbCXRb37TdqWcNq3rVPSYcggA4ImWXbb9wv6jH7Wt4+emBx9Mttoq2Wuv5L3vbcvJlllm7n5PAEaPd74zueKKtqvZmmsmp53WdSJ6SjkEADCrnXZKXvWqdvXQgw/One/xn/+ZrLFG8t3vJocc0nZKe9az5s73AmD0es1r2lVDq66avO99yWc+kzz2WNep6BnlEADArOabLzn22Fbg7L//yH/9n/+8LSG4+ebk7LPbiUApI/99ABgMSyzRtrr/xCeSQw9NNtkk+dvfuk5FjyiHAACezBprtKHQhx3WdhEbKccfn6yzTrLoosnUqclGG43c1wZgcM03X3L00cnXv5785CfJKqskN9zQdSp6QjkEAPBUDjkkWXjh9k5urXP2tR59NNlhh+RjH2vl0NSpbQA1ADzRdtslF12U3HtvMnlycs45XSeiB5RDAABPZYklkoMOaoOiTznlmX+du+5K1lsvOeaYtoTs7LOTRRYZuZwAjC1rrtnmEL3kJW2J2SGHzPmbFPBPKIcAAP6ZD3+4bS2/227JPffM/ut//etk0qS2G82pp7Zf8MePH/mcAIwtL35xctllyRZbJJ/9bLLNNslDD3WdijFKOQQA8M+MG9eGU997b/K5z83ea888M3njG5MZM9oQ6m22mTsZARibnvOc5DvfSQ44IPnWt5K11kpuu63rVIxByiEAgKfz2te2be2PP77NCno6jz+efPGLyTvfmbz61cn06e3qIQCYXaUkn/98ctZZye9/33a7vOKKrlMxxiiHAACGY999k6WWSj7+8WTmzKd+3gMPtCUA++6bfPCDycUXt9cBwJx429uSK69MFlooWXvt5Jvf7DoRY4hyCABgOJ773ORf/zW55pq21fCT+Y//aMvIzjorOfzw5KSTkgUXnLc5ARi7XvnK5Kqr2sDqbbdNdt75n79hAcOkHAIAGK4ttkjWXz/5wheSP//5fz528cVt6dittybnntt+YS+lm5wAjF2LLZacd16y007JEUckG274zDZMgCcYVjlUStmglHJDKeWmUsoeT/L4WqWUq0spM0spW8zy2AdKKTcOfXxgpIIDAMxzpSRHHdUGTO+yS7uv1nYl0brrJs9/fntHd731us0JwNg2YUK7mvXEE5NLLkkmT06uu67rVAywpy2HSinjkxydZMMkKyd5Tyll5Vme9p9JPpjkW7O8drEk+yRZJcnkJPuUUhad89gAAB156UvbrmXf+U7y4x8nH/tYsuOO7Z3bK69MVlqp64QA9MW22yY/+1mbd7fqqsmUKV0nYkAN58qhyUluqrXeXGudkeT0JJs98Qm11ltqrb9O8vgsr10/yYW11ntqrfcmuTDJBiOQGwCgO7vv3kqiTTdNvvGNZM89kx/+MFl44a6TAdA3b3xj2xXz5S9PNt88OfDAdlUrzIYJw3jO0klufcLnt6VdCTQcT/bapWd9UilluyTbJclyyy03zC8NAMyu5ff4cdcRxozVJm6bQ+48Ioes9f786PHVk8+f13WkMeGWgzbuOgIwj/nZNDIWeNPncvBDX8vrDj06m9z1sjywwLO7jjRm9OFn03DKobmu1np8kuOTZOLEiSpOAGDUu+LFr8maHz+x6xgAkCR5ZL4FsvMmu2Wxh+5XDDHbhrOs7PYkyz7h82WG7huOOXktAAAAMFyl5J5nP6/rFAyg4ZRD05KsVEpZoZQyf5Ktkgx3ytX5SdYrpSw6NIh6vaH7AAAAABgFnrYcqrXOTLJjWqlzfZIzaq3XlVL2K6W8LUlKKZNKKbcl2TLJ10sp1w299p4k+6cVTNOS7Dd0HwAAAACjwLBmDtVaz0lyziz37f2E29PSlow92WtPSnLSHGQEAAAAYC4ZzrIyAAAAAMYo5RAAAABAjymHAAAAAHpMOQQAAADQY8ohAAAAgB5TDgEAAAD0mHIIAAAAoMeUQwAAAAA9phwCAAAA6DHlEAAAAECPKYcAAAAAekw5BAAAANBjyiEAAACAHlMOAQAAAPSYcggAAACgx5RDAAAAAD2mHAIAAADoMeUQAAAAQI8phwAAAAB6TDkEAAAA0GPKIQAAAIAeUw4BAAAA9JhyCAAAAKDHlEMAAAAAPaYcAgAAAOgx5RAAAABAjymHAAAAAHpMOQQAAADQY8ohAAAAgB5TDgEAAAD0mHIIAAAAoMeUQwAAAAA9phwCAAAA6DHlEAAAAECPKYcAAAAAekw5BAAAANBjyiEAAACAHlMOAQAAAPSYcggAAACgx5RDAAAAAD2mHAIAAADoMeUQAAAAQI8phwAAAAB6TDkEAAAA0GPKIQAAAIAeUw4BAAAA9JhyCAAAAKDHlEMAAAAAPaYcAgAAAOgx5RAAAABAjymHAAAAAHpMOQQAAADQY8ohAAAAgB5TDgEAAAD0mHIIAAAAoMeUQwAAAAA9phwCAAAA6DHlEAAAAECPKYcAAAAAekw5BAAAANBjyiEAAACAHlMOAQAAAPSYcggAAACgx5RDAAAAAD2mHAIAAADoMeUQAAAAQI8phwAAAAB6TDkEAAAA0GPKIQAAAIAeUw4BAAAA9JhyCAAAAKDHlEMAAAAAPaYcAgAAAOgx5RAAAABAjymHAAAAAHpMOQQAAADQY8ohAAAAgB5TDgEAAAD02LDKoVLKBqWUG0opN5VS9niSxxcopXxn6PGppZTlh+5fvpTyUCnlmqGP40Y2PgAAAABzYsLTPaGUMj7J0UnWTXJbkmmllCm11t894WkfTnJvrfWlpZStkhyc5N1Dj/2x1vq6Ec4NAAAAwAgYzpVDk5PcVGu9udY6I8npSTab5TmbJTl56Pb3kqxTSikjFxMAAACAuWE45dDSSW59wue3Dd33pM+ptc5Mcl+SxYceW6GU8qtSyiWllDWf7BuUUrYrpUwvpUy/8847Z+svAAAAAMAzN7cHUv8lyXK11tcn2SXJt0opC8/6pFrr8bXWibXWiUsuueRcjgQAAADA/zOccuj2JMs+4fNlhu570ueUUiYkeV6Su2utj9Ra706SWusvk/wxycvmNDQAAAAAI2M45dC0JCuVUlYopcyfZKskU2Z5zpQkHxi6vUWSi2qttZSy5NBA65RSXpJkpSQ3j0x0AAAAAObU0+5WVmudWUrZMcn5ScYnOanWel0pZb8k02utU5KcmOTUUspNSe5JK5CSZK0k+5VSHk3yeJKP11rvmRt/EQAAAABm39OWQ0lSaz0nyTmz3Lf3E24/nGTLJ3nd95N8fw4zAgAAADCXzO2B1AAAAACMYsohAAAAgB5TDgEAAAD0mHIIAAAAoMeUQwAAAAA9phwCAAAA6DHlEAAAAECPKYcAAAAAekw5BAAAANBjyiEAAACAHlMOAQAAAPSYcggAAACgx5RDAAAAAD2mHAIAAADoMeUQAAAAQI8phwAAAAB6TDkEAAAA0GPKIQAAAIAeUw4BAAAA9JhyCAAAAKDHlEMAAAAAPaYcAgAAAOgx5RAAAABAjymHAAAAAHpMOQQAAADQY8ohAAAAgB5TDgEAAAD0mHIIAAAAoMeUQwAAAAA9phwCAAAA6DHlEAAAAECPKYcAAAAAekw5BAAAANBjyiEAAACAHlMOAQAAAPSYcggAAACgx5RDAAAAAD2mHAIAAADoMeUQAAAAQI8phwAAAAB6TDkEAAAA0GPKIQAAAIAeUw4BAAAA9JhyCAAAAKDHlEMAAAAAPaYcAgAAAOgx5RAAAABAjymHAAAAAHpMOQQAAADQY8ohAAAAgB5TDgEAAAD0mHIIAAAAoMeUQwAAAAA9phwCAAAA6DHlEAAAAECPKYcAAAAAekw5BAAAANBjyiEAAACAHlMOAQAAAPSYcggAAACgx5RDAAAAAD2mHAIAAADoMeUQAAAAQI8phwAAAAB6TDkEAAAA0GPKIQAAAIAeUw4BAAAA9JhyCAAAAKDHlEMAAAAAPaYcAgAAAOgx5RAAAABAjymHAAAAAHpMOQQAAADQY8ohAAAAgB5TDgEAAAD0mHIIAAAAoMeUQwAAAAA9NqxyqJSyQSnlhlLKTaWUPZ7k8QVKKd8ZenxqKWX5Jzy259D9N5RS1h+56AAAAADMqacth0op45McnWTDJCsneU8pZeVZnvbhJPfWWl+a5PAkBw+9duUkWyV5ZZINkhwz9PUAAAAAGAWGc+XQ5CQ31VpvrrXOSHJ6ks1mec5mSU4euv29JOuUUsrQ/afXWh+ptf5HkpuGvh4AAAAAo8CEYTxn6SS3PuHz25Ks8lTPqbXOLKXcl2TxofuvnOW1S8/6DUop2yXZbujTB0opNwwrPX20RJK7ug4xVpSDu05AhxxLI8zx1FuOpRHmWOo1x9MIciz1mmNphI2h4+nFT/XAcMqhua7WenyS47vOwehXSplea53YdQ4YdI4lGBmOJRg5jicYGY4lnonhLCu7PcmyT/h8maH7nvQ5pZQJSZ6X5O5hvhYAAACAjgynHJqWZKVSygqllPnTBkxPmeU5U5J8YOj2FkkuqrXWofu3GtrNbIUkKyW5amSiAwAAADCnnnZZ2dAMoR2TnJ9kfJKTaq3XlVL2SzK91jolyYlJTi2l3JTknrQCKUPPOyPJ75LMTLJDrfWxufR3oR8sP4SR4ViCkeFYgpHjeIKR4VhitpV2gQ8AAAAAfTScZWUAAAAAjFHKIQAAAIAeUw4xEEopJ5VS7iil/LbrLDDISinLllIuLqX8rpRyXSllp64zwSAqpSxYSrmqlHLt0LG0b9eZYJCVUsaXUn5VSjm76ywwyEopt5RSflNKuaaUMr3rPAwOM4cYCKWUtZI8kOSUWuurus4Dg6qUslSSpWqtV5dSnpvkl0k2r7X+ruNoMFBKKSXJc2qtD5RS5ktyWZKdaq1XdhwNBlIpZZckE5MsXGvdpOs8MKhKKbckmVhrvavrLAwWVw4xEGqtl6bthAfMgVrrX2qtVw/d/nuS65Ms3W0qGDy1eWDo0/mGPrzjBs9AKWWZJBsnOaHrLAB9pRwC6KlSyvJJXp9kardJYDANLYO5JskdSS6stTqW4Jn51yS7J3m86yAwBtQkF5RSfllK2a7rMAwO5RBAD5VSFkry/SQ711rv7zoPDKJa62O11tclWSbJ5FKKZc8wm0opmyS5o9b6y66zwBixRq31DUk2TLLD0HgOeFrKIYCeGZqP8v0k/15rPbPrPDDoaq1/S3Jxkg26zgIDaPUkbxuak3J6kreUUk7rNhIMrlrr7UN/3pHkB0kmd5uIQaEcAuiRoSG6Jya5vtb61a7zwKAqpSxZSllk6Pazkqyb5PfdpoLBU2vds9a6TK11+SRbJbmo1rpNx7FgIJVSnjO04UhKKc9Jsl4Suz0zLMohBkIp5dtJrkjy8lLKbaWUD3edCQbU6knel/bO7DVDHxt1HQoG0FJJLi6l/DrJtLSZQ7bgBqBLL0hyWSnl2iRXJflxrfW8jjMxIGxlDwAAANBjrhwCAAAA6DHlEAAAAECPKYcAAAAAekw5BAAAANBjyiEAAACAHlMOAQAAAPSYcggAAACgx/4vmnIrv/eOcOcAAAAASUVORK5CYII=\n","text/plain":["<Figure size 1440x720 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["## Distribution uniforme"],"metadata":{"id":"0VK1p7TMOddn"}},{"cell_type":"code","source":["import matplotlib.pyplot as plt\n","plt.figure(figsize=(20,10))\n","x = [1, 2, 3, 4, 5, 6]\n","y = [1, 1, 1, 1, 1, 1]\n","axes = plt.gca()\n","axes.set_ylim(0, 2)\n","plt.bar(x, y)\n","plt.plot(x, y, color='red')\n","plt.title('Distribution des valeurs', fontsize=10)\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":605},"id":"1QMJ1fXoupJQ","executionInfo":{"status":"ok","timestamp":1645622460609,"user_tz":-60,"elapsed":466,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"0de47df4-6102-4bfe-e15b-b771fc21e7df"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1440x720 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["## Distribution binomiale"],"metadata":{"id":"s_dKhBlnv6Hl"}},{"cell_type":"code","source":["from scipy.stats import binom\n","plt.figure(figsize=(20,10))\n","n = 100\n","p = 0.4\n","r_values = list(range(n + 1))\n","dist = [binom.pmf(r, n, p) for r in r_values ]\n","plt.bar(r_values, dist)\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":592},"id":"6UQGT5CZv9pA","executionInfo":{"status":"ok","timestamp":1645623046638,"user_tz":-60,"elapsed":1236,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"89b5c34d-c4ca-4eac-e3ce-5dcf1abb3d0d"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAABIcAAAI/CAYAAADtOLm5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO3df6xndV7f8dfbucLqmrKVnZoKjHcMo2ZW21VHdpuqNUs10LGOTcEFrRKDmZpKtFVj7zYpXYkmQ2OkNktsiWARjbBBa286o6RdbG2NUgZ3dXdA0ll2lKGrOwuIXbcsO7vv/nEP9Xp7Z+6XuT93Po9HQviecz5f5n3/+HK4T8453+ruAAAAADCmz9ruAQAAAADYPuIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMbG67B1jpjW98Y8/Pz2/3GAAAAAAXjSeeeOKj3b17tWM7Lg7Nz8/n+PHj2z0GAAAAwEWjqv7gXMfcVgYAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABjY3HYPAACc2/zC0fMeP3Xk4BZNAgDAxcqVQwAAAAADE4cAAAAABiYOAQAAAAxspjhUVddV1dNVdbKqFlY5fmlVPTQdf6yq5qf9n11V91fV+6vqqap6x8aODwAAAMB6rBmHqmpXkruTXJ9kf5Kbq2r/imW3Jnmxu69OcleSO6f9Nya5tLu/IslXJ/mHr4YjAAAAALbfLFcOXZPkZHc/092vJHkwyaEVaw4luX96/XCSa6uqknSS11fVXJLPSfJKkj/dkMkBAAAAWLdZ4tAVSZ5dtn162rfqmu4+m+SlJJdnKRT9WZIPJ/nDJD/R3S+sc2YAAAAANshmP5D6miSfSvKFSfYm+aGq+uKVi6rqcFUdr6rjZ86c2eSRAAAAAHjV3Axrnkty1bLtK6d9q605Pd1CdlmS55N8e5Jf6+5PJvlIVf1mkgNJnln+5u6+J8k9SXLgwIG+gJ8DAD6jzC8cPe/xU0cObtEkAACMbpYrhx5Psq+q9lbVJUluSrK4Ys1iklum1zckebS7O0u3kr0tSarq9UnemuT3N2JwAAAAANZvzTg0PUPotiSPJHkqybu7+0RV3VFV3zItuzfJ5VV1MskPJnn16+7vTvJ5VXUiS5HpZ7v79zb6hwAAAADgwsxyW1m6+1iSYyv23b7s9ctZ+tr6le/72Gr7AQAAANgZZopDAMDO5hlGAABcqM3+tjIAAAAAdjBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxsbrsHAICLyfzC0fMeP3Xk4BZNAgAAs3HlEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwsLntHgAA2DrzC0fPe/zUkYNbNAkAADuFK4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwGaKQ1V1XVU9XVUnq2phleOXVtVD0/HHqmp+2v8dVfW+ZX99uqrevLE/AgAAAAAXas04VFW7ktyd5Pok+5PcXFX7Vyy7NcmL3X11kruS3Jkk3f0L3f3m7n5zku9M8qHuft9G/gAAAAAAXLhZrhy6JsnJ7n6mu19J8mCSQyvWHEpy//T64STXVlWtWHPz9F4AAAAAdohZ4tAVSZ5dtn162rfqmu4+m+SlJJevWPP2JL94YWMCAAAAsBm25IHUVfWWJB/v7g+c4/jhqjpeVcfPnDmzFSMBAAAAkNni0HNJrlq2feW0b9U1VTWX5LIkzy87flPOc9VQd9/T3Qe6+8Du3btnmRsAAACADTBLHHo8yb6q2ltVl2Qp9CyuWLOY5Jbp9Q1JHu3uTpKq+qwk3xbPGwIAAADYcebWWtDdZ6vqtiSPJNmV5L7uPlFVdyQ53t2LSe5N8kBVnUzyQpYC0qu+Psmz3f3Mxo8PAAAAwHqsGYeSpLuPJTm2Yt/ty16/nOTGc7z3vyR564WPCAAAAMBm2ZIHUgMAAACwM4lDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwsJm+yh4ARja/cHTNNaeOHNyCSQAAYOO5cggAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADCwue0eAADYeeYXjp73+KkjB7doEgAANpsrhwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAZopDVXVdVT1dVSeramGV45dW1UPT8ceqan7Zsb9WVb9VVSeq6v1V9bqNGx8AAACA9VgzDlXVriR3J7k+yf4kN1fV/hXLbk3yYndfneSuJHdO751L8vNJvre735TkG5J8csOmBwAAAGBdZrly6JokJ7v7me5+JcmDSQ6tWHMoyf3T64eTXFtVleSbkvxed/9uknT38939qY0ZHQAAAID1miUOXZHk2WXbp6d9q67p7rNJXkpyeZIvSdJV9UhV/U5V/cj6RwYAAABgo8xtwT//a5N8TZKPJ3lPVT3R3e9ZvqiqDic5nCR79uzZ5JEAAAAAeNUsVw49l+SqZdtXTvtWXTM9Z+iyJM9n6Sqj3+juj3b3x5McS/JVK/+A7r6nuw9094Hdu3e/9p8CAAAAgAsySxx6PMm+qtpbVZckuSnJ4oo1i0lumV7fkOTR7u4kjyT5iqr63Cka/a0kT27M6AAAAACs15q3lXX32aq6LUuhZ1eS+7r7RFXdkeR4dy8muTfJA1V1MskLWQpI6e4Xq+onsxSYOsmx7j66ST8LAAAAAK/RTM8c6u5jWbolbPm+25e9fjnJjed4789n6evsAQAAANhhZrmtDAAAAICL1GZ/WxkA7FjzC+e/0/nUkYNbNAkAAGwfVw4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGNrfdAwAAn7nmF46e9/ipIwe3aBIAAC6UK4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMLCZ4lBVXVdVT1fVyapaWOX4pVX10HT8saqan/bPV9X/qar3TX/9m40dHwAAAID1mFtrQVXtSnJ3km9McjrJ41W12N1PLlt2a5IXu/vqqropyZ1J3j4d+2B3v3mD5wYAAABgA8xy5dA1SU529zPd/UqSB5McWrHmUJL7p9cPJ7m2qmrjxgQAAABgM8wSh65I8uyy7dPTvlXXdPfZJC8luXw6treq3ltV/7Wqvm6d8wIAAACwgda8rWydPpxkT3c/X1VfneRXqupN3f2nyxdV1eEkh5Nkz549mzwSAAAAAK+a5cqh55JctWz7ymnfqmuqai7JZUme7+5PdPfzSdLdTyT5YJIvWfkHdPc93X2guw/s3r37tf8UAAAAAFyQWeLQ40n2VdXeqrokyU1JFlesWUxyy/T6hiSPdndX1e7pgdapqi9Osi/JMxszOgAAAADrteZtZd19tqpuS/JIkl1J7uvuE1V1R5Lj3b2Y5N4kD1TVySQvZCkgJcnXJ7mjqj6Z5NNJvre7X9iMHwQAAACA126mZw5197Ekx1bsu33Z65eT3LjK+34pyS+tc0YAAAAANskst5UBAAAAcJHa7G8rA4AtN79w9LzHTx05uEWTAADAzufKIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYHPbPQAAcPGbXzh63uOnjhzcokkAAFjJlUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADCwmeJQVV1XVU9X1cmqWljl+KVV9dB0/LGqml9xfE9VfayqfnhjxgYAAABgI6wZh6pqV5K7k1yfZH+Sm6tq/4pltyZ5sbuvTnJXkjtXHP/JJL+6/nEBAAAA2EizXDl0TZKT3f1Md7+S5MEkh1asOZTk/un1w0murapKkqr61iQfSnJiY0YGAAAAYKPMEoeuSPLssu3T075V13T32SQvJbm8qj4vyT9N8qPrHxUAAACAjbbZD6R+Z5K7uvtj51tUVYer6nhVHT9z5swmjwQAAADAq+ZmWPNckquWbV857VttzemqmktyWZLnk7wlyQ1V9S+TvCHJp6vq5e5+1/I3d/c9Se5JkgMHDvSF/CAAAAAAvHazxKHHk+yrqr1ZikA3Jfn2FWsWk9yS5LeS3JDk0e7uJF/36oKqemeSj60MQwAAAABsnzXjUHefrarbkjySZFeS+7r7RFXdkeR4dy8muTfJA1V1MskLWQpIAAAAAOxws1w5lO4+luTYin23L3v9cpIb1/hnvPMC5gMAAABgE232A6kBAAAA2MFmunIIAHaC+YWj5z1+6sjBLZoEAAAuHq4cAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgfm2MgBgx/CNdAAAW8+VQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABiYOAQAAAAxMHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwGaKQ1V1XVU9XVUnq2phleOXVtVD0/HHqmp+2n9NVb1v+ut3q+rvbez4AAAAAKzHmnGoqnYluTvJ9Un2J7m5qvavWHZrkhe7++okdyW5c9r/gSQHuvvNSa5L8m+ram6jhgcAAABgfWa5cuiaJCe7+5nufiXJg0kOrVhzKMn90+uHk1xbVdXdH+/us9P+1yXpjRgaAAAAgI0xSxy6Ismzy7ZPT/tWXTPFoJeSXJ4kVfWWqjqR5P1JvndZLAIAAABgm236A6m7+7HuflOSr0nyjqp63co1VXW4qo5X1fEzZ85s9kgAAAAATGZ5/s9zSa5atn3ltG+1NaenZwpdluT55Qu6+6mq+liSL09yfMWxe5LckyQHDhxw6xnAYOYXjp73+KkjB7doEgAAGM8sVw49nmRfVe2tqkuS3JRkccWaxSS3TK9vSPJod/f0nrkkqaovSvJlSU5tyOQAAAAArNuaVw5199mqui3JI0l2Jbmvu09U1R1Jjnf3YpJ7kzxQVSeTvJClgJQkX5tkoao+meTTSf5Rd390M34QAAAAAF67mb5WvruPJTm2Yt/ty16/nOTGVd73QJIH1jkjAAAAAJtkpjgEALCTeE4VAMDG2fRvKwMAAABg5xKHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDmtnsAAC5e8wtHz3v81JGDWzQJAABwLuIQAHDREigBANbmtjIAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADGymOFRV11XV01V1sqoWVjl+aVU9NB1/rKrmp/3fWFVPVNX7p7+/bWPHBwAAAGA91oxDVbUryd1Jrk+yP8nNVbV/xbJbk7zY3VcnuSvJndP+jyb5u939FUluSfLARg0OAAAAwPrNcuXQNUlOdvcz3f1KkgeTHFqx5lCS+6fXDye5tqqqu9/b3f9r2n8iyedU1aUbMTgAAAAA6zdLHLoiybPLtk9P+1Zd091nk7yU5PIVa/5+kt/p7k9c2KgAAAAAbLS5rfhDqupNWbrV7JvOcfxwksNJsmfPnq0YCQAAAIDMduXQc0muWrZ95bRv1TVVNZfksiTPT9tXJvn3Sb6ruz+42h/Q3fd094HuPrB79+7X9hMAAAAAcMFmiUOPJ9lXVXur6pIkNyVZXLFmMUsPnE6SG5I82t1dVW9IcjTJQnf/5kYNDQAAAMDGWDMOTc8Qui3JI0meSvLu7j5RVXdU1bdMy+5NcnlVnUzyg0le/br725JcneT2qnrf9Ndf2fCfAgAAAIALMtMzh7r7WJJjK/bdvuz1y0luXOV9P5bkx9Y5IwAAAACbZJbbygAAAAC4SIlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAOb2+4BAAC22/zC0fMeP3Xk4BZNAgCw9cQhAF4zv0gDAMDFw21lAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADGymOFRV11XV01V1sqoWVjl+aVU9NB1/rKrmp/2XV9WvV9XHqupdGzs6AAAAAOu1Zhyqql1J7k5yfZL9SW6uqv0rlt2a5MXuvjrJXUnunPa/nOSfJ/nhDZsYAAAAgA0zN8Oaa5Kc7O5nkqSqHkxyKMmTy9YcSvLO6fXDSd5VVdXdf5bkv1fV1Rs3MgDA9phfOHre46eOHNyiSQAANs4st5VdkeTZZdunp32rrunus0leSnL5RgwIAAAAwOaZ5cqhTVdVh5McTpI9e/Zs8zQA43JVBAAAjGeWK4eeS3LVsu0rp32rrqmquSSXJXl+1iG6+57uPtDdB3bv3j3r2wAAAABYp1ni0ONJ9lXV3qq6JMlNSRZXrFlMcsv0+oYkj3Z3b9yYAAAAAGyGNW8r6+6zVXVbkkeS7EpyX3efqKo7khzv7sUk9yZ5oKpOJnkhSwEpSVJVp5L8pSSXVNW3Jvmm7n5y5Z8DAAAAwNab6ZlD3X0sybEV+25f9vrlJDee473z65gPAAAAgE00y21lAAAAAFykxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGDiEAAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGBz2z0AAMDFZn7h6HmPnzpycIsmAQBYmyuHAAAAAAbmyiGAAbiKAQAAOBdXDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDEIQAAAICBiUMAAAAAAxOHAAAAAAYmDgEAAAAMTBwCAAAAGJg4BAAAADAwcQgAAABgYOIQAAAAwMDmtnsAAIBRzS8cPe/xU0cObtEkAMDIXDkEAAAAMDBXDgF8BnPVAQAAsF6uHAIAAAAYmDgEAAAAMDBxCAAAAGBg4hAAAADAwMQhAAAAgIGJQwAAAAADE4cAAAAABja33QMAAHB+8wtH11xz6sjBLZgEALgYuXIIAAAAYGDiEAAAAMDA3FYGsAOtdQuJ20cAAICN4sohAAAAgIGJQwAAAAADE4cAAAAABuaZQwAAFxHPLAMAXitXDgEAAAAMzJVDAFvI/9EHAAB2GlcOAQAAAAxMHAIAAAAYmNvKAAAG5DZXAOBVM8WhqrouyU8l2ZXkZ7r7yIrjlyb5uSRfneT5JG/v7lPTsXckuTXJp5J8f3c/smHTA+wQfskCAAA+U60Zh6pqV5K7k3xjktNJHq+qxe5+ctmyW5O82N1XV9VNSe5M8vaq2p/kpiRvSvKFSf5zVX1Jd39qo38QAAA2nvgNABe/Wa4cuibJye5+Jkmq6sEkh5Isj0OHkrxzev1wkndVVU37H+zuTyT5UFWdnP55v7Ux4wNsLr8UAczGvy8B4DPXLHHoiiTPLts+neQt51rT3Wer6qUkl0/7f3vFe6+44GkBzmOtX0ySP//lxC8xANtj1n//+vc0AGyd6u7zL6i6Icl13f090/Z3JnlLd9+2bM0HpjWnp+0PZikgvTPJb3f3z0/7703yq9398Io/43CSw9PmlyZ5ev0/2o70xiQf3e4hYAfzGYG1+ZzA+fmMwPn5jMDaLtbPyRd19+7VDsxy5dBzSa5atn3ltG+1Naerai7JZVl6MPUs701335Pknhlm+YxWVce7+8B2zwE7lc8IrM3nBM7PZwTOz2cE1jbi5+SzZljzeJJ9VbW3qi7J0gOmF1esWUxyy/T6hiSP9tIlSYtJbqqqS6tqb5J9Sf7HxowOAAAAwHqteeXQ9Ayh25I8kqWvsr+vu09U1R1Jjnf3YpJ7kzwwPXD6hSwFpEzr3p2lh1efTfJ9vqkMAAAAYOeY5baydPexJMdW7Lt92euXk9x4jvf+eJIfX8eMF5OL/tY5WCefEVibzwmcn88InJ/PCKxtuM/Jmg+kBgAAAODiNcszhwAAAAC4SIlDW6Sqrquqp6vqZFUtbPc8sN2q6qqq+vWqerKqTlTVD0z7P7+q/lNV/c/p7395u2eF7VRVu6rqvVX1H6ftvVX12HQ+eWj6sggYUlW9oaoerqrfr6qnqupvOI/AX1RV/2T6b60PVNUvVtXrnEsYWVXdV1UfqaoPLNu36rmjlvzr6bPye1X1Vds3+eYSh7ZAVe1KcneS65PsT3JzVe3f3qlg251N8kPdvT/JW5N83/S5WEjynu7el+Q90zaM7AeSPLVs+84kd3X31UleTHLrtkwFO8NPJfm17v6yJH89S58V5xGYVNUVSb4/yYHu/vIsfcHQTXEuYWz/Lsl1K/ad69xxfZa+dX1fksNJfnqLZtxy4tDWuCbJye5+prtfSfJgkkPbPBNsq+7+cHf/zvT6f2fpP+ivyBYXdm0AAALvSURBVNJn4/5p2f1JvnV7JoTtV1VXJjmY5Gem7UrytiQPT0t8RhhWVV2W5Ouz9K256e5XuvtP4jwCK80l+ZyqmkvyuUk+HOcSBtbdv5Glb1lf7lznjkNJfq6X/HaSN1TVX92aSbeWOLQ1rkjy7LLt09M+IElVzSf5yiSPJfmC7v7wdOiPknzBNo0FO8G/SvIjST49bV+e5E+6++y07XzCyPYmOZPkZ6dbL3+mql4f5xH4f7r7uSQ/keQPsxSFXkryRJxLYKVznTuG+V1eHAK2VVV9XpJfSvKPu/tPlx/rpa9T9JWKDKmqvjnJR7r7ie2eBXaouSRfleSnu/srk/xZVtxC5jzC6KbnphzKUkz9wiSvz/9/Ow2wzKjnDnFoazyX5Kpl21dO+2BoVfXZWQpDv9Ddvzzt/uNXL9Wc/v6R7ZoPttnfTPItVXUqS7cjvy1Lz1d5w3RrQOJ8wthOJznd3Y9N2w9nKRY5j8Cf+9tJPtTdZ7r7k0l+OUvnF+cS+IvOde4Y5nd5cWhrPJ5k3/StAJdk6SFwi9s8E2yr6dkp9yZ5qrt/ctmhxSS3TK9vSfIftno22Am6+x3dfWV3z2fpvPFod39Hkl9PcsO0zGeEYXX3HyV5tqq+dNp1bZIn4zwCy/1hkrdW1edO/+316ufEuQT+onOdOxaTfNf0rWVvTfLSstvPLiq1dMUUm62q/k6Wnh2xK8l93f3j2zwSbKuq+tok/y3J+/Pnz1P5Z1l67tC7k+xJ8gdJvq27Vz4wDoZSVd+Q5Ie7+5ur6ouzdCXR5yd5b5J/0N2f2M75YLtU1Zuz9MD2S5I8k+S7s/Q/P51HYFJVP5rk7Vn6ptj3JvmeLD0zxbmEIVXVLyb5hiRvTPLHSf5Fkl/JKueOKaq+K0u3Y348yXd39/HtmHuziUMAAAAAA3NbGQAAAMDAxCEAAACAgYlDAAAAAAMThwAAAAAGJg4BAAAADEwcAgAAABiYOAQAAAAwMHEIAAAAYGD/FwOrlvgCACWAAAAAAElFTkSuQmCC\n","text/plain":["<Figure size 1440x720 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"DaGUHclUfho0"},"source":["## Loi normale standard"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":605},"id":"K3PtL-J6dk6q","executionInfo":{"status":"ok","timestamp":1645621045206,"user_tz":-60,"elapsed":909,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"a2fb7a9d-5c6f-4db2-b99c-14efccacf669"},"source":["from scipy.integrate import quad\n","import matplotlib.pyplot as plt\n","import scipy.stats\n","import numpy as np\n","\n","plt.figure(figsize=(20,10))\n","\n","x_min, x_max = -4.0, 4.0\n","mean = 0.0\n","std = 1.0\n","\n","x = np.linspace(x_min, x_max, 100)\n","y = scipy.stats.norm.pdf(x, mean, std)\n","plt.plot(x,y, color='red')\n","\n","plt.xlim(x_min,x_max)\n","plt.ylim(0, 0.45)\n","plt.title('Loi normale standard',fontsize=10)\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1440x720 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["**Lois normales avec variation de l'écart type**"],"metadata":{"id":"NYlTH-1jPakK"}},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":605},"id":"6PRQvsvDfgxm","executionInfo":{"status":"ok","timestamp":1645622012425,"user_tz":-60,"elapsed":1099,"user":{"displayName":"Benoît Cayla","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GjBQfNkWmXtY5OcBYhzy8rysxNesHkpGaqQ0hc5tXY=s64","userId":"16127805405482571098"}},"outputId":"771686a5-4d05-44c8-e589-aed28d01a45b"},"source":["from scipy.integrate import quad\n","import matplotlib.pyplot as plt\n","import scipy.stats\n","import numpy as np\n","\n","plt.figure(figsize=(20,10))\n","\n","def TraceLoiNormale(std, mean, color):\n","  x_min, x_max = -4.0, 4.0\n","  mean = mean\n","  std = std\n","\n","  x = np.linspace(x_min, x_max, 100)\n","  y = scipy.stats.norm.pdf(x, mean, std)\n","  plt.plot(x,y, color=color)\n","\n","  plt.xlim(x_min,x_max)\n","  plt.ylim(0, 0.45)\n","  plt.title('Loi normale standard',fontsize=10)\n","\n","TraceLoiNormale(1.0, 0.0, 'red')\n","TraceLoiNormale(2.0, 0.0, 'blue')\n","TraceLoiNormale(3.0, 0.0, 'green')\n","\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1440x720 with 1 Axes>"]},"metadata":{"needs_background":"light"}}]}]}