{"cells":[{"metadata":{},"cell_type":"markdown","source":"# Séance 3 : utilisation de plt.plot()"},{"metadata":{},"cell_type":"markdown","source":"## CODE DE REFERENCE : tracé de la courbe sur [a,b] de la fonction f"},{"metadata":{"trusted":false},"cell_type":"code","source":"X=np.linspace(a,b,200)\nY=np.zeros(200)\nfor i in range(200):\n    Y[i]=f(X[i])\nplt.plot(X,Y)\nplt.show()\n","execution_count":3,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"## Exercice 21 "},{"metadata":{"trusted":false},"cell_type":"code","source":"## Votre réponse : \n\n","execution_count":null,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"## Exercice 22  "},{"metadata":{"trusted":false},"cell_type":"code","source":"# question 1\n\nimport numpy as np\n\ndef Lagrange(X,k,x):\n    Lx=1\n    for  :\n        ...\n    return Lx ","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"# question 2 \n\nimport matplotlib.pyplot as plt\nplt.clf()\n\nX=np.array([-2,-1,0,1,2])\n\n\n....","execution_count":null,"outputs":[]},{"metadata":{"trusted":false},"cell_type":"markdown","source":"## Exercice 27"},{"metadata":{"trusted":true},"cell_type":"code","source":"# Le code pour tracé le cercle trigonométrique :\nimport matplotlib.pyplot as plt \nimport numpy as np\nt=np.linspace(0,2*np.pi,200)\nplt.plot(np.cos(t),np.sin(t))\nplt.axis('equal')\nplt.show()","execution_count":3,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAgAElEQVR4XuzdCVQVdf8G8Oeyg8gmgrGIuLIJiKxWmmWZW4tWppVb+mp/NbXcc0Ez11Jz17dyydc901wyS1NLWUQEEYVEQRHEDUFkX+7/zASTZSg6cLmXeT7neOT+ZvTO3Ps9fh9n+Y1KrVarQURERESKoWIAJCIiIlIWBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAJCIiIlIYBkAiIiIihWEAlKGsrAzp6emoX78+VCqVNE5ERETaS61WIycnBw4ODtDT09PeDa1BDIAyXL16Fc7OztJrIiIi0h2pqalwcnLSnQ2uRgyAMmRnZ8PKykosIAsLC2mciIiItNfdu3fFAzhZWVmwtLTU3g2tQQyAMggFJBSOEAQZAImIiHQD+zcDoCwsICIiIt3D/s0AKAsLiIiISPewfzMAysICIiIi0j3s3wyAsrCAiIiIdA/7NwOgLCwgIiIi3cP+zQAoCwuIiIhI97B/MwDKwgIiIiLSPezfDICysICIiIh0D/s3A6AsLCAiIiLdw/6tIwHw2LFjWLBgAU6dOoVr167h+++/x2uvvfbQijty5Ag++ugjxMfHi497mTJlCgYMGCAtF2zfvh1Tp05FSkoKWrRogXnz5qFr167S8kdhAREREeke9m8dCYA//vgjjh8/jrZt26Jnz56PDIDJycnw8vLCsGHDMHjwYBw6dAijR4/Gvn370LlzZ3GdEydOoH379pgzZw66d++OTZs2iQEwOjpa/LNVwQIiIiLSPezfOhIA76dSqR4ZACdMmCCGvbNnz0pjb7/9tvjQ5wMHDoive/fujdzcXOzdu7d8DSA4OBi+vr5YtWqVNPYwLCAiIiLdw/5dRwOgcGTPz88Pixcvlqpy7dq14lHA7Oxs8XXjxo3FU8TCWIXp06dj165diI2NlcbuV1hYKP6qIBSQcHpZ+DstLCykcSLSHiXFRci6nYG7t64hP/sWivOyUZKfjdL8bJQV3AUK70FVWgRVWTFQVgxVaTH0yoqEfx6hVukBKj2oofrzd30jqA1MoTY0BQzNoDI0hZ6JOQzr2cDYwhZmlrYwt2yI+jYNYWxipj0fAhH9DQNgHQ2ALVu2xMCBAzFp0iTpy96/fz+6deuGvLw8mJqawsjICOvXr0efPn2kdVasWIEZM2bg+vXr0tj9QkNDxeX/xABIVDuKiwqRceUPZKVfQsGtFJTcuQKDnDSY5l+DefFtWJZlw1KdAz2VWuMbmAVz3NFrgByjhigwsUNpPXvoWzeGWaPmsHFqBXunZtA3MND4dhERA6BApVarNf8vowxVOQVcUwGQRwCJakduThZSE6Jw9/IZlN1KgsndS2iQfxmNyq7DUFX6yI0qU6uQpaqPHD0LFOjVQ5F+PRQbmKPE0BxlhvUA4cievpH4O/QNodI3FP6xAdRlQFkZ1OpSoEz4VQJVcT5UJfnQK/9lWJIL45K7MCvNQX31XVioc6sUOIvU+rihZ4fbxk7It2oJPXt3WLl4w7GFD+rVt5LWI6LqxyOAdTQA1tQp4H9iARFVv8wbabgS9xvyr5yG8a1zsMu7AIeyjEpDVb7aCDf07ZFtZI98MweUWTjCwLoxTG0cUc+mESxsHWHVoJHGjraVlZbi7p2buHMjFfdupiI/Mw2l2WnQy7kGk9w02BSmwb7sOoweElzTVfbIMGuJoobeMGvSFs6e7WDd8ClpORHJw/5dRwOgcBOIcMQvLi5O+rL79u2LzMzMv90EIhwN3LNnT/kaQLt27eDt7c2bQIg0RLg+71JcGDITf4fBtWg8lRMHR/W/H4G/CWtcM2mKvPpNobJtgXoObrBt4gk7B1fo6etL6+mC0pIS3ExPxq3UBOSmJQA3zqNezkU0KkyBLbL+dReuoSHS6nuj1CkQth7PoYm7v8ZCLVFdwwCoIwHw3r17SEpKEuuvTZs2WLhwITp27AgbGxvxSJ5wqjctLQ0bNmwQ16mYBmb48OEYNGgQDh8+jA8//PCBaWA6dOiAuXPniqeGt2zZgtmzZ3MaGKIaJAW++EMwTQ9Ds7w4mKvypeUVLus54UZ9D5Q29ES9xm3g6OYPGztHaXldlnUrA1cTT+JechQMr5+B3b0EOKvTH9jlHLUpkk29kOsQgoY+ndHUK0TngjBRbWEA1JEAKEzqLAS+f+rfvz/WrVsnTvAsTOYsrFdB+HnMmDE4d+4cnJycxAmf/20iaGGC6IqJoOfPn8+JoImqWUZqEq5E/ADD5ENofu8U6v8j8N1FPSSbeiLPzg/mTYPQ2Ls9LK1tpeUEZN+5hdSzx5Fz4TjMr59E04JzqKcq+NtHI9x0csm8LYpdOqBxYHc85dJKWkZEf8cAqCMBUFuxgIgeJJze/OPUIWSf3o1GN35Dk7Ir0jKBEPgumvmg0DEEtl4vwNUziKcyH5NwJDXl3EncOncExqm/o0Xu6QeOpCbrNUHGU8/Bus0raNnmOR4dJLoP+zcDoCwsIKI/FRUWICFsH/LP7EKzzGN/u46tVK3CBUM33HFojwa+XdHM+xkGvmomTIdzMeYY7pz9GVbXfkPLovPQv++mmduwxEXrZ2Ha5g24h3SDgaGRtIxIidi/GQBlYQGRkglH+s6H7UPeqS1wyzoCC+RJH8ddmOEPi3ZAq5fRPKgHrGwbScuo5gnXESad+B6qPw6gZU7E306734EFLth0gKnvm3AP6cIwSIrE/s0AKAsLiJRGXVaGpNjfcTtsI5rf+OlvR/puwQoXG3SAmfdraBXcFUbGJtIyqj3C0dnEiJ+QF7sTLW4fhg3uShsjfGdJ9l1g9+xANPUKksaJ6jr2bwZAWVhApBR3bl5D4s9fwT5pO1zLLku7Ldx4kNjgBZi3fRtugS/x1K6WE64dTAj/Ebmnd6Bl5q+wRo60xRf1m+Jms55o2WmQYu64JuVi/2YAlIUFRHWZMKFx/PEfUBS5Dq1zfoeRqkTc3QK1IeItnoW+z1vwePZ1HunTUcJ1g/FHv0NZzCZ43TshTUxdpDbAGYsOMGs3BO5BnaHS09PRPSSqHPs3A6AsLCCqi3KyMxG/fyUc/9j4t/nnLug3R2ar3nB7cRCnaaljhGsGEw+tg80f29Gi9M85VwUpes7IaNEXHl2GwsKqgTROpOvYvxkAZWEBUV1yOTEGGT9/Ca+b+6U55oTJhs817IIGzw5Gc5+n69LuUiUuxPyGO8dWw+v2QZipCsWxXLUJ4ux6wLnLx3Bs6l6+JpHuYv9mAJSFBUR1QULEQRQcXQjfvDBpdy4LR37c+sGry39Qr76VNE7KcTfrNs7/9F/YJ25Ek7JUcceFKX1izZ+BWfsP0SqgE08Pk85i/2YAlIUFRLpKuL7vzOGtMIlcCrfic+JulAnNvV4IDIKHweuZHmzuJBLu/D772y6ow5bDuyBK+lQSDNxR2O4jeD/3BmuFdA77NwOgLCwg0jVC8Dt9YC0anFosHdURLvqPsXkZjbqMQ+OWvrq2S6RBKeejcOPgIvhk/gRjVbH4zkn6zXA34EP4vvgenzZCOoP9mwFQFhYQ6Qox+P20AQ2iFkqPZhOu7zvr0AsteoyHrYOLruwKaYFb6ZeR9MM8eF/bIV0nKNwwctv/Y7Tp3I9BkLQe+zcDoCwsINJ2wum70z//D9YRC6T5+4SndMQ3fhcer0/g3bwkizA/ZMLu+fC8ukV6Eowwn+C9pyfx1DBpNfZvBkBZWECkzc5H/ATVz9PhVnJe3EzxiJ8Q/HpOZPCjaiXcMBK/cy5aX/4W5uWPnTtv6AH189PgEdKlfC0i7cH+zQAoCwuItNHlhGhk/vAJ2uSdEDcvT22MWKe+8Oj1CSxtGmrjJlMdIT4x5rtP4XttG0zKrxE8bfY0bHvOg3Pz1nVkL6kuYP9mAJSFBUTaRJzMd/ME+N/aDX2VGiVqPZyy7YFmvT7lNX6kUTfSkpG8czra3toDA1UZitX6OGX/Btzf/oz/CSGtwP7NACgLC4i0gfB811M7F8Ht/JewRK64SafrPQObVz6DSyve1Uu15/L5U8j6YSJ88iPFjRCfHe0+Ev69xvK50VSr2L8ZAGVhAVFtiz+xH2a/TIJrWYq4KZf0miC/0xx4tuta25tGJIk7uhPmR0OlG5GEqWNKuiyAm/8L5WsQaRb7NwOgLCwgqi3CtVZJG0cjIPuAuAnZqIcE91Fo23MMDAyNamuziColHqn+fjHczy2GRfmR6kjr7mj5zhewsm1UvhaRZrB/MwDKwgIiTROmdYn6YQWax8yFNXLEp3ectH0VrfrMYxMlnXD7+lVc2jwWAVk/itt7B/WR1GYy/HsM4xNFSGPYvxkAZWEBkSZdTTqLrO3D4VUYI75tsl4TFHb5Am4BnTS5GUTVQpimyOSn8dLlC7EmAbDvuxKNGrcoX4Oo5rB/MwDKwgIiTRCe4hG5bR58EhbBVFWEArUhTjf7AP5vT4GhkbEmNoGoRhQXFSJq8wz4XVojPlouV22Csx4fIeCNsXyaCNUo9m8GQFlYQFTT0pMTcGfzEHgWnRFfxxv5wOrtlXBs6lm+BpHuu5wYg/wdH8Ct+Jy4M/FGrWHzztd4yqWV7u8caSX2bwZAWVhAVFOEa/0iv1uI1mfni89aFSZzjhOPjIzjkRGqk4Qj3Se3z0fr84vEmheeXJPQZir8X/mA1wZStWP/ZgCUhQVENUG4wzdl7SDpSR7nDL1g2WcNj/qRIqRdikfOpvelRxhG12sP1wFrYN3wKUXsP2kG+zcDoCwsIKpuZ3//AXa/jIIdMlGkNkB0i5EI7DOVR/1IUYQpY6L+F4q2yatgqCrFTVjj+otL4fV0D0V9DlRz2L8ZAGVhAVF1ES+GXzsWQenfQk+lxmU9JxS/ugbNfZ6W1iFSmqTY32G4exhcylJRqlYh0mUIAvvN4VNESDb2bwZAWVhAVB1upqfg1tq+cC+OF19H2LyC1oOWwczcsnwNIuXKz81B3H//g8Cs/eKHINwIZT/gWz7fmmRh/2YAlIUFRHIJp3yf+mUEGiBbvOj9Qshc+L08QFpORH+K+mElPE5NF28QyYQF0l9cwVPC9MTYvxkAZWEB0ZMS5/b7dioCkldAX6XGRX1XGPfZCKfmXtI6RPR3V/6IQcmW/mhaloIStR6iWo5GUJ+pvEuYHhv7NwOgLCwgehK5OVn4Y2VftMk7Lr6OtOoK7//8FyZm5uVrEFFlCvLuIW71IARk/yS+PlX/ebgPXcdLJuixsH8zAMrCAqLHJUzsXPhtb/HxV8JdvjHeUxHYa7S0nIgeTZgnM2LrXLRN+Fy8S1h4LKLRu1vg2NRdWofoYdi/dSgALl++HAsWLEBGRgZ8fHywdOlSBAYGSl/m/QYMGID169dLryt4eHggPv7PC+3XrVuHgQMHli/5k7GxMQoKCqTXj8ICoscRf3wfHH4eCmvk4BascKv7N3Dzf0FaTkSP51z4AdgdGApbZOEOLHC9y9dwC3pJWk5UGfZvHQmAW7duRb9+/bBq1SoEBQVh8eLF2L59OxITE2FnZyd9oRWys7ORn58vvS4pKRFD48iRIxEaGiqOCQFw1KhR4t9RQaVSwd7eXnr9KCwgqqrIHQvRJm6WeLTigkELWA7cDjtHV2k5ET2ZG2nJuPtNLzQvvSgeVT/T9jP4vzJMWk70b9i/dSQACqEvICAAy5YtE7+4srIyODs7i4Fu4sSJ5V9n5Xbt2oWePXsiOTkZLi4u4pgQAEePHo2srKzytR4fC4geRThVFf71GISkrRNfR1l0gtew9bzej6ga5d3LRsLKd+CX+5v4OtzpfQQOXMAJ1KlS7N86EACLiopgZmaGHTt24LXXXpO+vP79+4vhbffu3dJYZXr06IHCwkIcPHhQGhMC4ODBg+Ho6CgGSj8/P8yePRuenp7SOv8k/B3CrwpCAQlBVDjiaGFhIY0TCQoL8hC34j343/1FfB3W+D8IHjCPdywS1QDhzvqIr0Yj5NoG8bXwny3v4f+DkbFJ+RpEf2EA1IEAmJ6eLoa0EydOICQkRPryxo8fj6NHjyIiIkIa+zfCn2/cuDE2bdqEt956SxoPCwvDhQsX4O3tLQa4zz//HMeOHROvEXRycpLWu59w+njGjBnS6woMgPRP2Zk3cXVVT3gWnUGxWh+nfWcg8PWR0nIiqhmR3y9Bm5hQ8XKLMyZt0fT/voO5hbW0nEjAAKiAADhnzhx88cUXYhA0MjKqtPKLi4vh7u6OPn364NNPP5XG78cjgFQVtzKuIGdND/FO33tqUyS/sBKt278uLSeimnXm1x1ofuT/xEmjL+g3h81/dqOB/b//x56UiQFQBwKgnFPAarUaLVu2RPfu3bFo0SJpvDJvvvkmDAwMsHnzZmnsYVhA9E/CNC9lG16FkzpDvNM3u9dWNGsdLC0nIs34I/ooGv7wLqxxF1dVT0Gv3y44uLpp5s1J67F/60AAFAg3gQhTvghTvwiEa/aE07ojRox46E0gR44cQceOHREXFwcvr4c/YaG0tFS8/q9r165YuHChNP4wLCC6X8r5KJhtfRN2yES6yh7q93ZzXjKiWpR6IRb6m96Ag/oGbsAGBX2/R+OWvrW4RaQt2L91JAAK08AIR/xWr14tBkFhGpht27YhISFBnLZl0qRJSEtLw4YNf178W+G9994Tr/MLDw+XxirMnDkTwcHBaN68uXgkUZhjULhb+NSpU+J8gVXBAqIKF04fQ8PdfWCFe0jWc4H54B/Q0KGJtJyIasfN9BTkftUdTcpScRuWuPvmdrh6BtXOxpDWYP/WkQAoEKaAqZgI2tfXF0uWLBGPDAqEiZ9TUlLEI34VhBsznnrqKXz55ZcYMmSINF5hzJgx2Llzp/j3WVtbo23btpg1axbatGkjrfMoLCAS/BF9BI1+6AML5CHRoBUafbAHlg2qPp8kEdWszBtpuLO6O5qVXkIWzHHr9a1o7vOMtJyUh/1bhwKgNmIBUWLUYTjs6Yv6qnycN/SE88h9vOOQSAsJd+ZfX9EVLUv+QI7aFNde3YKWfs9p4ZaSJrB/MwDKwgJStoSTv8Bp77swV+XjnKEXXD7ch3r1rZT9oRBpsZzsTKQu6wGP4rO4CzPceH07jwQqFPs3A6AsLCDlEk77Oux+Wwx/8Uat0WTkXoY/Ih2Qm5OFK0u6wL34nHg6+Hav73invgKxfzMAysICUqbk+AjYbH8dlshFvJE3XD/cCzNzS2V+GEQ6SDgSmL70ZbQqScQdWCC79/do4u6vg3tCT4r9mwFQFhaQ8qQmxcF0Y3fYIguJBm5wGvUTj/wR6aDsO7dwY1lntChNEufsLOy3H45NK38UKNUt7N8MgLKwgJQl48oF4JsuaISbuKjvCtvhP8PSpqGyPgSiOiT79nXcWtEZzUqTkaayh/GQn2Hr4FKH9pAqw/7NACgLC0g57ty8hpyVL6BxWRqu6Dmi3tCDfLQUUR0gPLqxYPWL4tN7Luk1QYORh2BpbVsH9owehv2bAVAWFpAy5Ofm4PKiF+FWch4ZaAi8fwCNnJsrY+eJFCDt0nkYb3hZvLRDuKO/6ZifYGJmroA9Vy72bwZAWVhAdV9pSQnOLOyBNnknkI16yHp7L1zc/Or+jhMpzMW4cDT87nVxQvfT9Z6B95jd0DcwUNinoBzs3wyAsrCA6jZ1WRkilw9E0O1dKFQb4lLX/8E9qHPd3mkiBTsXfgDNf3wHRqoShNv3QfAHqxT8adRt7N8MgLKwgOq28I3TEZy0GGVqFWJCFsPv5QF1e4eJCFF718A/apz4SUR4fIKgt8bzU6mD2L8ZAGVhAdVdMYe2wPvYMOip1AhvOQ7BfafU3Z0lor8JWzcRISkrUapW4exz/4VPxzelZVQ3sH8zAMrCAqqbhIme7ba9gnqqAkQ0eBWBw9dBpadXN3eWiB4gXP4RtaQvArJ+RK7aBDff3seJousY9m8GQFlYQHVP5o00FKx8Dg7qG4g38kHLsT/D0Mi47u0oET1UUWEBLnzxIjyLzuCq6inUH/kb5/2sQ9i/GQBlYQHVLcVFhbjw+QvwKIrDVVUjmA8/CivbRnVrJ4moyoT5PwuWP4uncBNnTALgOfYA7wyuI9i/GQBlYQHVLeErhyL4+hbcU5vidp/9nO6FiHDxzAk4fPcqTFVFCHvqXYQMXc5PpQ5g/2YAlIUFVHec2vcV2p78WNyh6JBl8Ov8Xt3ZOSKS5f5/H04FLkTbru+XLyFdxf7NACgLC6huSDkfBbstXWGmKkTYU/0QMnRp3dgxIqo2YauHI+TaRvEMwZ33foZz89bSMtI97N8MgLKwgHRfbk4Wbi9qJz7j96yxL9zG/gwDQyPd3zEiqlYlxUX4Y8Hz4jXCF/Vd4fjx73xcnA5j/2YAlIUFpPtOLnoLAdk/4QZsYPB/v8PGzlH3d4qIasTN9BTor3kWNriLSJseCPxwo7SMdAv7NwOgLCwg3Rb1w0r4R08UJ3tN7LIFHsEv6/YOEVGNizu2G56H+ouTxEf5zYP/K8Nq/D2p+rF/MwDKwgLSXalJcbD5tpM42XNY46EIGTRfd3eGiDQq7OuPEZL6lXg94N0BR+Dg6qbR9yf52L8ZAGVhAekmYYLXy/OfRovSJMQbtYbb+COc24uIqky4HjBpfge4FZ/DeUMPtBh/lNcO6xj2bwZAWVhAuinsv6MRkrYWWTBH4eBjsHdqpps7QkS1Jj05ARbrnoO5Kh9hLsMQMnBerW0LPT72bwZAWVhAuich6hBa7OkFfZUa0cFfwu/lAbq3E0SkFU7uXoGA05NQotbDpVe/R0u/57Riu+jR2L8ZAGVhAemW/Nwc3Po8EM7qdERZdIL/R9/p1g4QkVZRl5UhelFPtM35FVf0HGE3NpJTw+gI9m8GQFlYQLolYvn7CLq5Q5zyxfjDSD7YnYhky868iaIlAWiIO3xUnA5h/2YAlIUFpDviT+yH58E+4gbHdVyL1h166s7GE5FWi/l5E3yPfyBOKXXx1V08FawD2L8ZAGVhAemGgvxc3JzvL576jbB5BUEffqsbG05EOiNqYS/43/0FKXrOeGp8JIxNzHRm25WI/ZsBUBYWkG6ouOv3JqxhPPoULKwa6MaGE5HOyLqVgZJlQbBFFsKcBiFk8CKd2XYlYv9mAJSFBaT9Lp2NgPP2LjBUlSI6ZBn8Or+n/RtNRDop+sA6+IWPQpFaH9f6HoZLK1+d3A8lYP9mAJSFBaTdSktKkDS3HVqVJOJ0vWfQZtw+7d5gItJpwl3BsQu6wDc/HPFG3vCYeBQqPT2d3qe6iv1bhwLg8uXLsWDBAmRkZMDHxwdLly5FYGDgv9bmkSNH0LFjR+l1hWvXrqFRo0bS6+3bt2Pq1KlISUlBixYtMG/ePHTt2lVa/igsIO0WuWMhAs/OQI7aFAVDw9HQoYl2bzAR6bz0lERYr30GpqoinGwzBwGv/p/O71NdxP6tIwFw69at6NevH1atWoWgoCAsXrxYDG+JiYmws7N7oDYrAqCw3MLCQhoX1tUr/9/YiRMn0L59e8yZMwfdu3fHpk2bxAAYHR0NLy+v8j/xcCwg7ZV9+zrKlraFNXIQ3nIcgvtO0d6NJaI6JWz9JwhJXoZMWEB/ZBQsG9jXqf2rC9i/dSQACqEvICAAy5YtE+uurKwMzs7OGDlyJCZOnPhALVYEwDt37sDKykoav1/v3r2Rm5uLvXv3SmPBwcHw9fUVg2ZVsIC0V8TS/gi6vQvJei5wnhTF53QSkcYIzxtPn+ePJmWpiLDtiaARazX23lQ17N86EACLiopgZmaGHTt24LXXXpO+vP79+yMrKwu7d++WxipUBEAXFxcUFhaKR/RCQ0Px9NNPS+s0btwYH330EUaPHi2NTZ8+Hbt27UJsbKw0dj/h7xJ+VRAKSAii2dnZfzvSSLUrKfZ3NN3ZHXoqNeJf3ATPp7vV7gYRkeKc/f0HeP3ynviYuKtv/4wm7v6K+wy0GQOgDgTA9PR0ODo6iqdsQ0JCpHoaP348jh49ioiICGmsgnDqVwiB/v7+YmD76quv8O2334rr+vn5iesYGRlh/fr16NPnz8mBBStWrMCMGTNw/fp1aex+QogUlv8TA6D2EC7CTpjzNNyLz+FU/efR9uPvtWfjiEhRTs/vijZ5xxFn7AevCYd4Q4gWYQCsowHw33To0EE86icEQcGTBEAeAdR+p39ajzZhHyJfbYS7Q8Jh79RM+zeaiOqktEvxaLi+PYxUJYh5djV8X3i7Tu6nLmIA1IEA+CSngP/NuHHj8PvvvyMsLEx8/SSngP+JBaRdhOtubsz1hZP6GidiJSKtELZ6OEKubUSqygGNJsXA0MhYK7ZL6di/dSAACoSbQIQpX4SpXwTCTSBCgBsxYsS/3gTyb1588UXUr18fO3fuFF8LN4Hk5eVhz5495WsA7dq1g7e3N28C0VHhm2cjOHEebsMSxh/FwtzCWkf3hIjqipzsTBQt8kUDZCPCYwqC3hpXV3ZNpzEA6kgAFNEZeN4AACAASURBVKaBEY74rV69WgyCwjQw27ZtQ0JCAuzt7TFp0iSkpaVhw4YNYkEKy11dXeHp6YmCggLxGkAhPB48eBAvvPCCuI5wTaFwWnju3Lno1q0btmzZgtmzZ3MaGB11N+s2Shf7iNO+RHhORdCbY3V0T4ioronYMgdBCXNxC1aoN+4sTOvVr2u7qHMYAHUkAAqEKWAqJoIWpmpZsmSJeGRQMGDAAHEyZ+HGD8H8+fOxZs0aMRQKp4+Fo3rTpk17YHJoYS7BKVOmSBNBC3+OE0HrpvCvPkLw1a9xWc8JjpNOc9oXItIawuUpt+a2hoP6BsJchyOk/2yt2TalYgDUoQCojVhA2uHOzWswXNYG5qp8nA5Zgjad+2vHhhERlYv6YSX8oyfiLsygHhnDyaFrGfs3A6AsLCDtUHGRdZJ+MzT7JIpTLRCR1hGeTX5ldlu4lqUgzKEfQv7z5zXtVDvYvxkAZWEB1b5bGakwW9kWZqpCTrNARFrt9MGNaHNiOHLVJigeGQsr27+eTU+axf7NACgLC6j2ha8ciuDrW5Bo0AotJ4fz6B8RaS1hovpLn7VFs9JLnKqqlrF/MwDKwgKqXZk30mC63BemqiLEdVyL1h161u4GERE9QvRP38IvbARy1KYoGxUHS5uG0jLSHPZvBkBZWEC1K+yrMQi5+g0uGLRA88mRPPpHRFqvrLQUlz/z+/NaQOchCHn/c63f5rqI/ZsBUBYWUO0RJldVL/KCBXJ55y8R6ZRT+9eibeRo3EU96H98DvXqW+nU9tcF7N8MgLKwgGpP+IapCL60RJz3z/mTM9DT16+9jSEiegzCHcHpn7WGszod4a3GI7jPJ9Iy0gz2bwZAWVhAtaOwIA85c91hiyxE+sxC4Osja2dDiIieUMS2BQg6NwvpKjvYTY7n5PUaxv7NACgLC6h2nNy1HAExk3EDNrCadB5Gxia1syFERE+oIO8e8ue7wxp3cSrgC7TtNlhaRjWP/ZsBUBYWkOYJ0yhc/MwfzUsv8pFKRKTTwr4Zh5Ara3BBvzmaf3KSN7JpEPs3A6AsLCDNOxd+AB4HeqNAbYiCkWc5kSoR6SxhKiuz5T4wURUjoesOuAW+qLP7omvYvxkAZWEBaV70gh7wyz2GSJseCPxwo+Y3gIioGkUu7oPArP2IsugE/4++k8apZrF/MwDKwgLSrIzUJDT8yh/6KjWS3/oFrh4Bmt0AIqJqdiHmN7TY1R1FagPk/F8sGtg7Scuo5rB/MwDKwgLSrLCvxyIk9b+IN/KG5+TfNPvmREQ1JHFWIFqVJCK8yXAED5gtjVPNYf9mAJSFBaQ5JcVFuP2ZG+xxG1EBn8O/2xDNvTkRUQ2qmNkgA7ZoOCUR+gYG0jKqGezfDICysIA0J+bQFvj+NhR3UB9mE/+AsYmZ5t6ciKgGFeTnIn9eK1gjB7EdvoJPxzelZVQz2L8ZAGVhAWlOzPyX4ZsXhnD7Pgj+YJXm3piISAPClw9G8M3tiDbvAL+xP2jgHZWN/ZsBUBYWkGbcTE+BzWpf8eaPK32PonFLX828MRGRhlyMC0ez7zqLN4PkjYznFFc1jP2bAVAWFpBmhG8MRXDSIpw39ID7J2GaeVMiIg1L+tRPnOQ+vNUEBPeZrOF3Vxb2bwZAWVhAmnHxU180K01GhOdUBL05VjNvSkSkYeGbZyM4cR6S9Juh+dRoDb+7srB/MwDKwgKqecnxEXDd/pJ4WiR/VAIsbRrW/JsSEdWCrFsZMFvqASNVKS73PgwX97a1sBXKwP7NACgLC6jmha0ejpBrG3G63jNoM25fzb8hEVEtipnXGb754QhzHoyQ97+oxS2p29i/GQBlYQHVrLLSUtz8tIU49190yDL4dX5PWkZEVBdF/bAK/tETkKpygNPUeKj09OribtY69m8GQFlYQDUrIeoQ3Pb2xD21KQwmXoSJaT1pGRFRXXTv7h0YfNECJqpiJL2+D819nqmLu1nr2L8ZAGVhAdWs8JXDEHx9Mx+STkSKEv35K/C7dxThjd5B8LAVitp3TWH/ZgCUhQVUc9RlZciY2RJP4SZP/xKRokQfWAe/8FFIU9nDYWoCTwPXAPZvBkBZWEA150LMb2ixqzvy1MZQjb8I03r1pWVERHVZbk4WDD5vDmNVMZLf+gWuHgF1eXdrBfs3A6AsLKCaE7bmQ4Skr+djkYhIkWLnvQSf/AiENfkAIQPmKvIzqEns3wyAsrCAak7yTB+4lqUgym8e/F8ZJo0TESlB5HeLEBgXij8MWqLllJNK2GWNYv9mAJSFBVQzMq5cQKNv/FGqViFnZAKfiUlEinMrIxU2K1tDT6XGjSExsHN0VdxnUJPYvxkAZWEB1YyIbQsQdG4WEgw94MZn/xKRQiXOCkKrkgREek1H4BsfKfRTqBns3zoUAJcvX44FCxYgIyMDPj4+WLp0KQIDA6Uv8347d+7EypUrERMTg8LCQnh6eiI0NBSdO3eW1lm3bh0GDhwovRYYGxujoKBAev0oLKCaETP/ZfjmhSG8yXAED5gtjRMRKUnYN+MQcmUNos3bw2/sHiXteo1j/9aRALh161b069cPq1atQlBQEBYvXozt27cjMTERdnZ2DxTK6NGj4eDggI4dO8LKygpr167F559/joiICLRp00ZcRwiAo0aNEv+OCiqVCvb29tLrR2EBVb+C/FyUzXWFmaoQF3v+iGbe7aRlRERKUjEZ/l3UQ70pV6BvYKCk3a9R7N86EgCF0BcQEIBly5aJX1xZWRmcnZ0xcuRITJw4sfzrfDjhKGDv3r0xbdo08bUQAIWgmJWVVb7G42MBVb/44/vg+XNf3IIVGkxL5vxXRKRYJcVFyPusCSyQi8Tu36OV//OK/SyqG/u3DgTAoqIimJmZYceOHXjttdekL69///5ieNu9e7c0VhkhMDZp0gTjx4/HiBEjxDEhAA4ePBiOjo7icj8/P8yePVsMipURTicLvyoIBSQE0ezsbFhYWEjj9OTCv/oIwVe/RlT9F+D/8U5pnIhIiaI/7wG/e8cQ1ngoQgbNV+JHUCMYAHUgAKanp4sh7cSJEwgJCZG+PCHMHT16VDyt+yjz58/H3LlzkZCQIJ0yDgsLw4ULF+Dt7S0GOOEU8bFjxxAfHw8nJ6fyP/l3wnWEM2bMkF5XYACsPuc/C4F78TlEtg5FYK8x0jgRkRJF7liIwLMzcM7QCx6fHFfiR1AjGAAVEAA3bdqEIUOGiEcKO3XqJH35/1RcXAx3d3f06dMHn376qTR+Px4BrFnC7PdGnzeFoaoUaf3C4djUXVpGRKREqRdi4fy/9ihUG0I98TJMTOsp8WOodgyAOhAA5ZwC3rJlCwYNGiTeMNKtWzdpvDJvvvkmDAwMsHnzZmnsYVhA1evMrzvgffR9XENDNJr2B6//IyLFE56LfnumK2yRhXMvb4VH8MuK/0yqA/u3DgRAgXATiDDlizD1i0C4Zq9x48bi9XyV3QQihDgh/Akh8NVXX5XGK1NaWipe/9e1a1csXLhQGn8YFlD1CvtqDEKufoOTlp0RMGabNE5EpGTRn78Cv3tH+Vi4asT+rSMBUJgGRjjit3r1ajEICtPAbNu2TbymT5i2ZdKkSUhLS8OGDRvEL1Y47Sus/+WXX6Jnz57lXzdgamoKS0tL8eeZM2ciODgYzZs3F48kCnMM7tq1C6dOnYKHh0f5n3g4FlD1OjunA7wKYxDhORVBb46VxomIlCx882wEJ87DGZO28J54WMkfRbVh/9aRACgQpoCpmAja19cXS5YsEY8MCgYMGICUlBQcOXJEfP3cc8+JN4j8kxAKhbt/BWPGjBEnjBb+Pmtra7Rt2xazZs2S5gmsChZQ9RGmOyia5STO/5f85kG4ev753RIRKd3FuHA0+64zctUmMJmaxvkAqwH7tw4FQG3EAqo+F8+cQLOdXXBPbQrTqVf5DxwRUbnSkhIUfuog/gc5pfchNHH352cjE/s3A6AsLKDqE7F1HoLOz0acsR9aT/pVGiciIuDcZ0/Do/gsIn1mIfD1kfxIZGL/ZgCUhQVUfU4ufhsBWT8izGkQQgYvksaJiAgIXzkMwdc3I8K2J4JGrOVHIhP7NwOgLCyg6nPxU180K01GdMgy+HV+TxonIiIgat9/4X9yLP4waImWU07yI5GJ/ZsBUBYWUPUoLMiD3hwncQLo9AGRcGjSSlpGRERA2qXzcNwQjCK1ATA5DUbGJvxYZGD/ZgCUhQVUPZJif0fz77shG/VgMe0qJ4AmIvoHYULoezMcUF+Vz5kSqgH7NwOgLCyg6hH53WIExk1HvJEPPCcfk8aJiOgvCZ+FwK34HKLazod/j6HSOD0+9m8GQFlYQNUjfPlgBN/cjnD7txH8wWppnIiI/hKxtB+Cbu9GmEM/hPznzydj0ZNh/2YAlIUFVD3i5nRE68JoRLaegcBeo6VxIiL6S8TWuQg6PwexpkHwmXBQGqfHx/7NACgLC6h6XA9tCnvcRkLXHXALfFEaJyKiv5wL+xEeP72NDDREo9AkaZweH/s3A6AsLCD57t29A/OFTcSfsz9MgqVNw/IlRER0vzs3r8F6uZv4c/64qzCtV798CT0u9m8GQFlYQPL9EX0ULX94BbdgBdvQy9I4ERH9nXAncM5MJ1ggF8lv/QJXjwBpGT0e9m8GQFlYQPJF/bAS/tETEW/UGp6Tf5fGiYjoQRdm+aNFyQVOmi8T+zcDoCwsIPnC1k5AyOVViLTqisDRm6VxIiJ6UNQXPeGfcwjhTT9EcL9PpXF6POzfDICysIDki1zcB4FZ+xHmMgwhA+dJ40RE9KCwrz9GSOpXiLTujsBR/5PG6fGwfzMAysICki9+dnt4FsUiym8u/F/5QBonIqIHndy1HAExk3HW2Bdek45K4/R42L8ZAGVhAcmXPqMFHNQ3kNBlO9yCXpLGiYjoQWeP74HXz+/iip4jGk87J43T42H/ZgCUhQUkT0lxETDLHgaqMtwYEgM7R1dpGRERPehq0lk4bXwaeWpjmE7P4LPTnxD7NwOgLCwgeW6mp6DhGh+UqPWgmnoT+gYG0jIiInpQQd49mMx3FH/m3KlPjv2bAVAWFpA8SbG/o/n33XAT1mgYmiKNExFR5e6EOsEaOUh+8yBcPYOkcao69m8GQFlYQPLEHt4Gn2NDkKTfDM2nRkvjRERUuUszfdC0LAVnOnwN745vSONUdezfDICysIDkifxuMQLjpiPWJAA+E3+RxomIqHJxc55D68LTONlmDgJe/T9pnKqO/ZsBUBYWkDxh6yYiJGUlJ4EmInoM0mTQLT5G8DvTpHGqOvZvBkBZWEDyhK8YguAb2xD2VD+EDF0qjRMRUeUilr+PoJs7EOY4ACFDvpTGqerYvxkAZWEByXNyUW8EZB9AWNMPEcJHGhERVYn0CE2bHgj8cKM0TlXH/s0AKAsLSJ7T87ugTd4JRHhORdCbY6VxIiKqXMS2+Qg69xlO13sGbcbtk8ap6ti/GQBlYQHJEz/7GXgWxeFUwBdo222wNE5ERJWL2rMa/qfG83FwMrB/MwDKwgKS5+KnvmhWmowzz30D7+d6SeNERFS5mJ83wff4B0g0aIVWUyKlcao69m8GQFlYQPJIzwHuvhNu/i9I40REVLmzv/8Ar1/eQ4peYzSZFieNU9WxfzMAysICkudWqAtskYVLbxxEUy/OZk9EVBV/RB9Fyx9eQQYaolFokjROVcf+zQAoCwtInruhDrBALlLfOQbnFj7SOBERVe5yQjRctnREFsxhFZomjVPVsX8zAMrCApKncLotjFXFyBgUhUaNW0jjRERUufSURDisC0S+2gimM25K41R17N86FACXL1+OBQsWICMjAz4+Pli6dCkCAwOlL/Ofjhw5go8++gjx8fFwdnbGlClTMGDAAGm5YPv27Zg6dSpSUlLQokULzJs3D127dpWWPwoL6Mmpy8qgmmkt/nz7g3g0sHcqX0JERA9z/epF2H/lhyK1AYxm3JbGqerYv3UkAG7duhX9+vXDqlWrEBQUhMWLF4vhLTExEXZ2dtIXWiE5ORleXl4YNmwYBg8ejEOHDmH06NHYt28fOnfuLK5z4sQJtG/fHnPmzEH37t2xadMmMQBGR0eLf7YqWEBPriA/FybzHMSf746+BAurBuVLiIjoYW5lXIHtqtYoU6ugNyNLGqeqY//WkQAohL6AgAAsW7ZM/OLKysrEo3ojR47ExIkTy7/Ov0yYMEEMe2fPnpXG3n77bWRlZeHAgQPi6969eyM3Nxd79+4tXwMIDg6Gr6+vGDSrggX05Ary7sFkvqP4c+7Hl1GvvlX5EiIiepg7N6/Bermb+HPZ1Ezo6euXL6GqYv/WgQBYVFQEMzMz7NixA6+99pr05fXv318MdLt375bGKghH9vz8/MQjhRXWrl0rHgXMzs4WXzdu3Fg8RSyMVZg+fTp27dqF2NhYaex+hYWF4q8KQgEJQVT4Oy0sLKRxejQGQCKiJ3MrIxW2q/48U5UzJhn1LW3Kl1BVMQDqQABMT0+Ho6OjeMo2JCRE+vLGjx+Po0ePIiIiQhqr0LJlSwwcOBCTJk2Sxvbv349u3bohLy8PpqamMDIywvr169GnTx9pnRUrVmDGjBm4fv26NHa/0NBQcfk/MQA+PgZAIqIncyv9MmzXeIs/Z41IhJVto/IlVFUMgAyAjxUAeQSw+jAAEhE9mdvXr6LBSk/x57yxV2Bmblm+hKqKAVAHAqA2nQL+JxbQk2MAJCJ6Mpk30mCzwkP8mdcAPhn2bx0IgALhJhBhyhdh6heBcBOIcA3fiBEjKr0JRDjlGxf31yNy+vbti8zMzL/dBCKcDt6zZ0/5GkC7du3g7e3Nm0A0oKiwAEZz7MV3yh51EZbWthp4VyIi3VdxCrhUrYI+7wJ+IgyAOhIAhWlghJs+Vq9eLQZB4eaObdu2ISEhAfb29uK1fmlpadiwYYP4xVZMAzN8+HAMGjQIhw8fxocffvjANDAdOnTA3LlzxWsDt2zZgtmzZ3MaGA0R5gFUz7CBnkqNW8PiYNuosYbemYhIt2WkJqHR1205D6AMDIA6EgAFwhQwFRNBC1O1LFmyRDwyKBAmeBYmcxYmf64g/DxmzBicO3cOTk5O4oTP/zYRtDBBdMVE0PPnz+dE0BqUP70hTFVFSB8QCYcmrTT4zkREuis9OQEO64OQpzaG2YwbursjtYgBUIcCoDZiAcmTHeoAS+Ticp+jcGnlK40TEVHlks+dhOu2TsiEBWxCU6Vxqjr2bwZAWVhA8twMbYKGuIOLPX9EM+920jgREVUuIeoQ3Pb2RLrKHg7T/5DGqerYvxkAZWEByZM2oyUc1deR0GU73IJeksaJiKhyccd2o/XhfkjWawLXaf/+4AJ6OPZvBkBZWEDyJH3qh+alFxHb/r/wef4taZyIiCp3+uBGtDkxHAkG7nCbEi6NU9WxfzMAysICkufsnA7wKoxBVNv58O8xVBonIqLKRf2wEv7RExFn7IfWk36Vxqnq2L8ZAGVhAckTvaA7/HJ/Q4T7ZAT1niCNExFR5cI3z0Zw4jxEm7eH39i/5rKlqmP/ZgCUhQUkT+SXfRF4Zx/CmwxH8IDZ0jgREVUu/KuPEHz1a0Q0eA1BI9dL41R17N8MgLKwgOQJXzkMwdc3I9y+D4I/WCWNExFR5SKW9kfQ7V0Icx6MkPe/kMap6ti/GQBlYQHJE75hKoIvLcFJy5cQMGa7NE5ERJWL/vwV+N07ivBWExDcZ7I0TlXH/s0AKAsLSJ6Tu5YjIGYyL2QmInoM8bOfhWfRGUT5L4B/9/9I41R17N8MgLKwgOSJO/Y9Wh8egGQ9F7hOOyONExFR5S7P9IJLWSrOvrABXs++Ko1T1bF/MwDKwgKSJzk+Aq7bX8IdWMCajzMiIqqSe9MbwVyVjyt9j6JxSz5G80mwfzMAysICkifzRhpsVniIPxdNug4jY5PyJURE9G9ysjNRf5Gr+HPux5dRr75V+RJ6HOzfDICysIDkKSstRfFMexiripHePwIOrm7SMiIietDl86fgsvV53EU9WISmS+P0eNi/GQBlYQHJd2WmBxqXpeFsp2/h9cwr0jgRET0o7uhOtP51IJ8DLBP7NwOgLCwg+c7MfQHeBVE46T0TAT1HSeNERPSgyO8WITAuFLEmAfCZ+Is0To+H/ZsBUBYWkHzShKZOgxAyeJE0TkREDwpbPRIh1zYgwrYXgkZ8I43T42H/ZgCUhQUkX9iGqQi5tARRFi/C/6Md0jgRET2o4hnq4a3GI7jPJ9I4PR72bwZAWVhA8kX/uBZ+EaORaNAKraZESuNERPSg5Jk+cC1LQWz7/8Ln+bekcXo87N8MgLKwgORLPncSrts6IUdtCvPp6VDp6UnLiIjoL8LMCYUzG8FUVYTUd3+Hc/PW0jJ6POzfDICysIDkKyzIg8EcB+ir1Lj1nzOwdXCRlhER0V+uX70I+6/8UKLWg/qTDBgaGUvL6PGwfzMAysICqh5XZ7jBSX2NU8EQET3EmSPfwfvIIFzWc4LLtHhpnB4f+zcDoCwsoOoRM/9l+OaFIcJ9EoJ6T5TGiYjoL+EbpyM4aTGizdvDb+weaZweH/s3A6AsLKDqIU1r0OA1BI1cL40TEdFfTi56CwHZPyGs8VCEDJovjdPjY/9mAJSFBVQ9ovaugX/UOCQauKHVlAhpnIiI/pL0qR+al15EdMgy+HV+Txqnx8f+zQAoCwuoelxOjIHL5g7IUxvDeGo69A0MpGVERASUFBehdJaD+Oz0q+8eh1NzL34sMrB/MwDKwgKqHqUlJSj81AFmqkJcfvtXuLj5ScuIiAhIjo+A6/aXkKs2gem0dOjp6/NjkYH9mwFQFhZQ9UmYFQy3kvOI8psH/1eGSeNERASc3PklAs5MQ7xRa3hO/p0fiUzs3wyAsrCAqk/EsoEIurUT4fZvI/iD1dI4EREJz03vh6DbuxHe6B0ED1vBj0Qm9m8GQFlYQNXn5K7lCIiZjAQDd7hNCZfGiYjorxtATgUuRtuuA/mRyMT+zQAoCwuo+qQmxcF54zMoUhtAPSkVxiZm0jIiIiUryM+F/lxnGKpKkT4gEg5NWin546gW7N8MgLKwgKqPuqwMWTNdYI27SOj2HdwCOknLiIiULCHiINx+fBOZsID1tMt8Zno1YP/WgQCYmZmJkSNHYs+ePdDT00OvXr3w5ZdfwtzcXPoi71dcXIwpU6Zg//79uHTpEiwtLdGpUyfMnTsXDg4O0nrPPfccjh49Kr0WDB06FKtWrZJePwoLqHqdnt8FbfJOILzFRwh+Z7o0TkSkZGHrJyMkeTmi67WH3zg+AaQ6sH/rQADs0qULrl27htWrV4vhbuDAgQgICMCmTZukL/J+2dnZeOONNzBkyBD4+Pjgzp07GDVqFEpLSxEVFSWtJwTAli1bYubMmdKYmZkZLCwspNePwgKqXmHrP0FI8jJE13sWfuP2SuNEREp2Zm4neBecRHir8Qju84mSP4pqw/6t5QHw/Pnz8PDwwMmTJ+Hv7y9+aQcOHEDXrl1x9erVvx3RexjhzwcGBuLy5cto3LixOCYEQF9fXyxevLh8rcfHAqpeCZE/w23/G7iD+rCcepnzXBGR4gnzpOZ/6gRzVT4u9vwRzbzbKf4zqQ7s31oeAL/55ht8/PHH4lG8CiUlJTAxMcH27dvx+uuvS+MP88svv+Cll15CVlaWdIRPCIDx8fFQq9Vo1KgRevTogalTp4pHAStTWFgo/qogFJCzs7N41PFxjhzSvysuKkTxZ87ihNAXe/2EZq2DpWVEREqUFPs7mn/fDTlqU5hNvconJVUTBkAtD4CzZ8/G+vXrkZiYKH1pAjs7O8yYMQMffPCBNFaZgoICPP3003Bzc8P//vc/aXzNmjVwcXERjyKeOXMGEyZMEI8S7ty5U1rnn0JDQ8X3/ScGwOoTO7cTfIRTHS0+RvA706RxIiIlCt8YiuCkRYg1DYTPhJ+V+BHUCAbAWgqAEydOxLx586Qv4t8Ip3+FMCYnAArXDAo3jQini48cOfLQo3SHDx/GCy+8gKSkJDRr1kwavx+PANa88I3TEZy0GDGmwfCd8FPNvyERkRY7M/d5eBecQnjLsQjuO1WLt1S3MADWUgC8efMmbt++/dBqadq0KTZu3PjEp4CF8PfWW2+JdwIL4a5BgwbSsn+Tm5sr3lksXGPYuXNnafxhWEDVr+J0xz21KYw/uQxDI2NpGRGRkhTk3QPmNYGJqpjPSa9m7N+1FACrquImEOHu3bZt24pjBw8exMsvv/zQm0Aqwt+FCxfw66+/omHDhtKyyhw/fhzPPPMMYmNj4e3tLY0/DAuo+gkXPN+d1QTWyEH8S5vh2a6rtIyISEniju5E618H4joawG5aEuf/q0bs31oeAAXCNDDXr18X5+ermAZGuCP4/mlghOv75syZIx4RFNYRpoGJjo7G3r17YW9vL61nY2MDIyMjXLx4Ufzzwt3EwpFB4RrAMWPGwMnJ6YG5AR+GBVQzohb2gv/dXxD21LsIGbpcGiciUpLwlcMQfH0zIq26InD0ZiXteo1j/9aBAChMBD1ixIi/TQS9ZMmSv00ErVKpsHbtWgwYMAApKSlwdXWVlt1POBoo3P2bmpqKd999F2fPnhVP/Qp38grhUZhA+mHXCf4TC6hmRO1dA/+ocUjRa4wm0+KkcSIiJbk80wsuZak4FfAF2nYbrKRdr3Hs3zoQALUZC6hmZN++DvMlraCvUuPawEg85cLnXhKRslQ8H71YrY+80X/A0tpWWR9ADWP/ZgCUhQVUc85/1g7uxfGIcJ+MoN4TpHEiIiWomBEhzrgNWk86ooRd1ij2bwZAWVhANSd8w1QEX1rCf/yISJHOfxYC9+JziHCfhKDeExX5GdQk9m8GQFlYQDUn7VI8HDe0Q4laD/dGnoeVbSNpGRFRXXb7+lVYr/CCnkqN1SRFXgAAIABJREFUjPdPoZFz87q8u7WC/ZsBUBYWUM26+GkbNCu9hJPeMxHQc5Q0TkRUl0V+twiBcaFI0m+G5lOj6/Ku1hr2bwZAWVhANSts3USEpKxErEkAfCb+Io0TEdVlZ+d0gFdhDMJcRyCk/2d1eVdrDfs3A6AsLKCadTkxBi6bO6BIrY/8UYmwtHn0hN5ERLrsVsYVWK/0FmdBSO8fAQdXN13eHa3F/s0AKAsLqOYlz/SGa9llRLYORWCvMTX/hkREtShiyxwEJcxFokErtJoSWYtbUrexfzMAysICqnlhG6Yi5NISnDNqDY/Jv9f8GxIR1aKKu3/DW45DcN8ptbgldRv7NwOgLCygmpeRmgS7r/zFu+E4KTQR1WXpyQlwWB+EMrUKt4fGoKFDk7q8u7WK/ZsBUBYWkGbEz24Pz6JYhDcZjuABszXzpkREGhb29ViEpP4XccZ+aD3pVw2/u7KwfzMAysIC0ozI75cgMHYqLus5ofGUOKj09DTzxkREGlJWWorrn7bCU7iJKP8F8O/+Hw29szKxfzMAysIC0oyc7EzoL3SDmaoQCV13wC3wRc28MRGRhpz9bTe8DvXDXZjBaPwFmJiZa+idlYn9mwFQFhaQ5kQu7oPArP04afkyAsZs1dwbExFpQNTCXvC/+wsiGryGoJHrNfCOysb+zQAoCwtIcxKiDsFtb08UqA1ROOo85wQkojoj+/Z1GC/xhImqGH+8shst/Z6rM/umrdi/GQBlYQFpjrqsDCmz2sC1LAURbhMR9PYkzb05EVENCt8YiuCkRbio3xRNPznF65w1gP2bAVAWFpBmVUyQmqLXGC5TYvmPJBHpPOHmj/RZHnBSZ3DCew1i/2YAlIUFpFnZd27BcLGHeDPI2Rc3wuvpHprdACKianbm1x3wPvq+ePOHwdgEmJlbSsuo5rB/MwDKwgLSvIil/RF0exdOm7VDm/E/an4DiIiqUcy8zvDND0e4XW8E/98aaZxqFvs3A6AsLCDNu5wYA5fNHcSZ8q/1Pw7Hpp6a3wgiomqQmhQHx2+fFZ90lPrOMTi38JGWUc1i/2YAlIUFVDvOzO0E74KT/B8zEem0ijMasaZB8JlwUKf3RdewfzMAysICqh0V18zcU5uibEw8LKwa1M6GEBE9ocwbaTBb7iNO/RL/0mZ4tusqLaOax/7NACgLC6h2CHfNXfnMB03KUhHmOgIh/T+rnQ0hInpCYd+MQ8iVNbhg0ALNJ0dyVgMNY/9mAJSFBVR7Tu5egYDTk3Ablqg3/hwfm0REOqMg7x7y57vDGndxKuALtO02WGe2va5g/2YAlIUFVHuKiwpxa7an+OD0CPfJCOo9ofY2hojoMYRv/gzBifORrrKD3eR4GBgaSctIM9i/GQBlYQHVroitcxF0fg6uoSFsJ8fD0Mi4djeIiOgRCvJzcXeeF+yQiQjPqQh6c6y0jDSH/ZsBUBYWUO0STqPkzvdAA2Qj0mcWAl8fWbsbRET0CBX/cc2ALawnxsHYxExaRprD/s0AKAsLqPaFfzsNwRe/RLrKHg0nxfEoIBFprcKCPGTN9YI9bvPSlVrG/s0AKAsLqPbl5+Ygd4EXbJGFCM9pCHrz49rfKCKifxGxbQGCzs3CDdjAYsJZmJjWk5aRZrF/MwDKwgLSDhUXVF9HA1hOiOM/qkSkdYT/rN5b0BoNcQfhrcYjuM8nWreNSsL+zQAoCwtIOwgXVWfPay2eVuE/rESkjcI2TEXIpSXiTWs2E8/w2r9axv7NACgLC0h7VJxayYQFDMfEor6ljfZsHBEpWnbmTaiW+MACuTjpOxsBrw1X9OehDdi/dSAAZmZmYuTIkdizZw/09PTQq1cvfPnllzA3N6+0hgYMGID169dLrwWdO3fGgQMHpNcFBQX4+OOPsWXLFhQWForLV6xYAXt7e2mdR2EBaQ9hXsCMOb5wVqcjzHEgQoYs1p6NIyJFC1s9EiHXNiBZzwWNJ0dD38BA0Z+HNmD/1oEA2KVLF1y7dg2rV69GcXExBg4ciICAAGzatKnSGhIC4PXr17F27VppzNjYGNbW1tLrDz74APv27cO6detgaWmJESNGiAHz+PHj0jqPwgLSLtE/fQu/sBEoUBsie0gE7J2aadcGEpHiZFy5AKuvQ8Rn/sY8swq+nfoo7jPQRuzfWh4Az58/Dw8PD5w8eRL+/v5iDQlH8bp27YqrV6/CwcHhX+tKCIBZWVnYtWuXNHa/7OxsNGzYUAyRb7zxhjiWkJAAd3d3hIWFITg4uHzNh2MBaRd1WRkS5jwD9+J4nLTqgoDRW7RrA4lIcaK+6An/nEM4Z+gF90m/8Zm/WoL9W8sD4DfffCOepr1z545UMiUlJTAxMcH27dvx+uuvS+P3EwKgEP6MjIzEo37PP/88Zs2ahQYNGojLDx8+jBdeeEH8e62srMr/FODi4oLRo0djzJgx0tj9hFPFwq8KQgE5OzuLgdLCwkIap9qTGHUYrfa+jjK1Cpd67kNzn6drb2OISNESIn+G2/43+O+RFmIA1PIAOHv2bPFavsTExL+Vj52dHWbMmCGexv03wnV9ZmZmcHV1xcWLFzF58mTxmkHh6J6+vr545E84lXx/mBMEBgaiY8eOmDdvnjR2v9DQUPF9/4kBULuc+uJ1tM05jARDD7Sa9P/t3QlcVcXiB/DfBdlXERBBXNjCJUQU1DKXzFwq0+xZ+VrMen8zs/Rpae9ltrtVz6VS01LTZ5lli0tmpqm5QoG4AIqogAgi+77e/2dG73loLsBBuPee3/fzsbjnnPKccWR+zJyZ2cufuImo0VVXVeHUrB4IrDyJQ83vQ8RL139tiRofA2ATBcDp06dfN2QZiOHfDRs21CsAXi0pKQn+/v7Yvn277PmrbwBkD6BpyEg9BadlvWCvK0Nk11kIf/B507hxIjIbkd9/hPCYf6NQb4fS8ZFw9/I1m2czBwyATRQAMzMzkZWVdcM65OfnhzVr1tRrCPhaxDt/Yhh43Lhx9R4CvhorkPHav+rf6HX6I1yEK2wmR3NZGCJqNGLZl6qFYXBDPg74vYieT77daL831Q7b7yYKgLVlmAQSFRWFbt26yWPbtm3D4MGDbzgJ5Gri2jZt2sj3AocNG6ZMAvnyyy/lsjKC6GUMDg7mJBAzIfbcvDCnm1wW5kDLR9Fz/FIzeTIiMnYHFz2FHlnf46yFL1pNi4K1ja2x37LmMAAaeQAUxDIwYkmXJUuWKMvAiBnBNZeBEcFt1qxZskewsLBQDg+LYOfl5SXfAXzllVdQUFCAI0eOyOVgBDF8vGXLFrkMjJjAIdYaFPbt2yf/XRusQMYt9rdvEfLbWFTqLXDmoU2cEEJEt1x81K8I2jgSFjo9jt37JTrdMfSW/55Ud2y/TSAAioWgxRp9NReCXrhw4RULQet0Ornmn5j9W1JSguHDhyM6OlouBSN6Ce+99168/fbbVyzybFgIWvQC1lwIWoTG2mIFMn5/vj8MYYW7cNIyAO2n70czK2vjv2kiMkmVFeU4OzsC/lWnEekyGOGT15nkc2gB228TCIDGjBXI+F1MT4b1kp5yC6YDgf9Ez7/PNP6bJiKTdGDNTPRMnI88OKDq+Ui4efqY5HNoAdtvBkBVWIFMw6Fv/4OII2+gWG+D3DG74d0+2DRunIhMRsrJw/BYM0Du+BEZ8hbCH3rJZO5di9h+MwCqwgpkGsQOIcdn90Wn8lgcsemKztN2cG1AImowVZWVODHnLnSoOI5Y2264/ZXt/B5j5Nh+MwCqwgpkOlISj8BjdX/50/nBjv9Gj1GvmM7NE5FRO7D2HfQ8MU+u+Vf4zB54tQk06vsltt+CTq/X61kZ6ocB0LQYvkmLoeDsJ3agdUBn03oAIjI6qYlH0WJ1f9jpynGw0wz0+NtUo7tH+iu23wyAqrACmRaxNVPcnP7oVH4YcVYdETRtDyybNTOthyAio1FRXoakuXfhtsoEHLUJRadpOzn0ayLYfjMAqsIKZHrOn02A0+d94agrwX6/F9GLK/QTUT3t/2wKeqUsRz7sUTx2N4d+TQjbbwZAVViBTNOh7xYi4vAMlOstcXb49wjs2sc0H4SImkz8oV8QuPlvsNTpERX+Prrf948muxeqO7bfDICqsAKZJjErOPqDBxFWtBupOi+4TNrPvYKJqNYK8rJRML8nvPUZiHIeiO7//EY5R6aB7TcDoCqsQKZLbNZesrAXvJCJKOd70G3Ser67Q0Q3JX6A/PM/I9GtYAfOwwMOkw7C2bWFcp5MA9tvBkBVWIFMmxjCCdg8Cs101TjU5R1EjLi0HzQR0fUc/Houehx/FxV6S5y6bx2CIwYq58h0sP1mAFSFFcj07V85Hb3OLJZLw2Q8shntO4ab/kMR0S2RePh3tNnwIKx1lTgQMBk9H39DOUemhe03A6AqrECmT6zgf3zePbi9LBopOm+4vPQ7h3OI6C/yc7NQsKAXfPQZiLa/A6FTN/O1ERPG9psBUBVWIPOQfeEcyj/pAy9clN/Yu0zZBAtLS/N4OCJSTawheviD+9G1eB/SdJ5wmLgPLm4eynkyPWy/GQBVYQUyHyf+/A3tfhgph3b2t38BvZ5613wejohU2f/ZVPRKWYYyvRXOPvgtgsL6KufINLH9ZgBUhRXIvBxc/wF6HHsLVXodjvVbjpD+D5vXAxJRnUVvW4Ou+ybIrzlZzHyw/WYAVIUVyLyI5R0iF/4dEblbUKC3Q/ZjW9A2OMy8HpKIau1MXBQ8vroPDrpSHPD4G3pOWK6cI9PG9psBUBVWIPNTVlqMpA/uQYeKY3KRaMcJu+Dq7mV+D0pEN5STeR5Fn/RDa306jll3QdDUX2BlbaOcJ9PG9psBUBVWIPMkJoWULu4Hb/0FHLMOQdDU7fzGT6QhpSVFOP2h+EHwuJz0Yff8bjT3aKWhEjB/bL8ZAFVhBTJfp49HwnPd/XLo51Dz+xA+cQ2XfCDSADHjN3r+w3Knj3zYI+eRTWjboZsGnlxb2H4zAKrCCmTeYn79Crfvfk5u9r6/zTj0GjvXvB+YiLB/+WT0Sv1c7vSRMHAlOvcexlIxQ2y/GQBVYQUyfwe/nocex9+RDxoZ8hbCH3rJ/B+aSKMOffsfRBy5tLvHoS5vI2LEixotCfPH9psBUBVWIG3Yv+wl9Dq3EpV6CxzruxRd7h6ljQcn0pDon1chZN9Ll3r8fZ5Gr3/M19DTaw/bbwZAVViBtEEsDxO14FGE5/0s9wxOvn8tgsPv0cbDE2nA0b0bEbRtjFwI/lDz+xE+cTXf+TVzbL8ZAFVhBdKOivIyxH04FCGlUciHAzIf+gb+IXdopwCIzFTi4d/hteFhOOpKEO3QG7dP+g7NrKzN9GnJgO03A6AqrEDaUlyYh7MLBsulIbLhjILHNqLtbaHaKgQiM3I27g84rRsON+TLJZ/8J2+FrZ2DGT0hXQ/bbwZAVViBtCc/NwsXFg1EQNUpXIAbKsdshXe727RXEEQmLvlEDOzXPgh35CLR0h8tX9wOJxc3E38qqi223wyAqrACaZPYISBv8UC0q06Ri8TqxmxCq7YMgUSmIjXxKKzXPABPZCPJoh3cnv+ZO/5oDNtvBkBVWIG0KzPtDMqWDZLbRIkQiKc2sSeQyASknUmAxcqh8MJFnLHwhfNzP8PN08cE7pwaEttvBkBVWIG07cK50yhbPhS++jSchwf0IgS2D9Z2oRAZMdHz12zNcHghE8kWPrD/v61w92pjxHdMtwrbbwZAVViBqGYITIcHqp7cCB+/DiwYIiMjJnzYrxsJD+QgRecNm2e3wNOnvZHdJTUWtt8MgKqwApEghoNLlg9Fm+pzyERzFI5aj/Ydw1k4REbiVOw+uG14BM2Rj9MW7eD0f5vg7uVrJHdHTYHttwkEwOzsbEycOBEbN26EhYUFRo4ciQULFsDR0fG6dUan0ylf1zR37ly8/PLL8ut+/fph165dl89cMm7cOCxZskT5fDOsQGRwMT0ZBZ/ej/bVZ5EHB6Tfvwa3db9bOU9ETSMhagdabXocziiSs33dx2/hhA9i+20KAXDIkCE4f/48li5dioqKCjz99NMIDw/H2rVrr1uF09PTla+Fn376Cc888wwSExPh5+cnj4kAGBQUhLfeeuvyVYC9vT2cnZ2VzzfDAEg15WVlIH3xMNxWGS93DDk1YBlu7/Ogcp6IGtfhnesR+NsE2OvKEN+sA1pN2ASX5u6NexNklNh+G3kPYFxcHDp27IjIyEh0795dVqKtW7di6NChSE1Nhbe3d60q1vDhw1FQUIBff/1VOSYCYGhoKObPr/9+j6xAdLWiglwkfTQCt5f9iXJ9Mxzp8T66DX1aOU9EjSPy+4/QNXoGmumqEWvbHf4TvoWDk2vj/OZk9Nh+G3kA/PzzzzFlyhTk5OQolamyshK2trZYv349RowYoRy/noyMDLRu3RqrVq3C6NGjleMiAB47dgx6vR5eXl544IEHMGPGDNkLeD1lZWXyl4GoQL6+vsjLy6tTzyGZt7LSYhxb9AjCinbLBz0QMAk9Rs/k3qJEjUDs3X1wzUz0TFoof7co54EImbAG1ja2jfC7k6lgADTyAPjee+/J4JaQkHBFnfL09MSbb76J8ePHK8euR7z3N3v2bKSlpcngaPDpp5+ibdu2shcxNjYW06ZNQ0REBDZs2KBcc7U33nhD/r5XYwCkq1VVViJq6Tj0yPxGfj7o/hC6P7cMls2aXb6CiBpaZUU5/hB/7y5e+j5+wOvviPjHIlhYWl6+gugSBsAmCoDTp0/HnDlzblgPxfCvCGNqA2BwcDAGDhyIRYsWKceuZceOHRgwYIB8T9Df3185XhN7AKkuZE/El+8g4sSHsNDpEWPfC0HPr4O9o4tyDRE1DLFN45kloxBSGoVqvQ6Hgiaj599nKueJamIAbKIAmJmZiaysLOUP4lrEZI01a9aoGgLes2cP+vTpg5iYGHTp0kU5fi1FRUVyZrF4x3DQoEHK8RthBaLa+POnFeh04GXY6CpwyrI97J9cx63jiBpQ2ul4lK9+WG7PKCZgxd/xAcIGPaGcJ7oa2+8mCoC1ZZgEEhUVhW7duslj27Ztw+DBg2s1CWTMmDE4evSo/O9vZu/evejduzcOHz6MkJAQ5fiNsAJRbcUf+gUeW55BC+QhG87IGLIcHXrU7gcNIrq+uIM/o+VPz8IN+bgg/jliNQK69FbOE10L228jD4CCWAZGTOQQ6/MZloERM4JrLgMjhnlnzZp1RY+g+MNt1aoVPvjgAzz33HPKceHUqVPyvxeziVu0aCHfAZw8ebKcLHL12oA3wgpEdZGefBJFq0bBvyoJ5XpLxITMQMTIycp5Iqo98YrFofVzEXZ8Lqx0VXKNP+ex33J3D6oVtt8mEADFQtAvvPDCFQtBL1y48IqFoMXCzytWrJA9fgZiksekSZPkGoIuLle+c5WSkoLHH39c9g6KoV8xk1eEx9dee61Os3lZgaiuigvzEL/kCYQVXvpB42CL4Qj9x2LY2F5/9jkRXam0uBBHlj6D8Lyt8vMfTv3RYdwqvl9Ltcb22wQCoDFjBaL6ED0XB1a9ih5nlsrJISebBcLh8f/Cu91tyjVEdG3nzyag6IvHEFB1ClV6HSIDxTJLr3OZJaoTtt8MgKqwApEasTu/QZtdL8EVhXL7uDN95qPL3aOU80R0pehta+C37xW4oAg5cMK5AR+j813cbYfqju03A6AqrECklujNKFj9OIIqT8jP+72fQvcx82BlbXP5CiIqLyvFn59NRM8LX8vCONEsCE5PrOFseqo3tt8MgKqwAlFDEDuHxCyfoCxeKxo3h9Er4ePX6fIVRNp1LikOxWufQGDlSVkIB1o+hrCx87mzB6nC9psBUBVWIGpIf2xZgcBD/4YzilCkt8XxsJkIf/B55TyRloh3ZSN/+BgdY96Fo64EuXDEmd7vI/Sex7RUDHSLsP1mAFSFFYgamlgqJnv1GHSsOCo/RzkNQOCYxXBp0fLyFUTmL/vCOZxd9X/oWvS7fNg4q05o/uQX8PINMP+Hp0bB9psBUBVWILoVxD7Ch1b/G+FnPkUzXTUy0Rzn7pqN0AGPKtcQmavDO76Cz+5pcEeuXC/zD/8JiBg9k/toU4Ni+80AqAorEN1K8VG/wn7LRLSpPic/R7oOQdBTH8GlufvlK4jMR15WBk58MRHheT/Lhzpj4YvKB5cioMud5vOQZDTYfjMAqsIKRLeaWPA2ZtVURKR/JdcMFFtdpd01i72BZFbEftltD86UWyVW63U45PUIQsd8CFs7B7N6TjIebL8ZAFVhBaLGIvY7ddr6Elrrz8vf8k/HPvAdvQge3u0a6xaIGtzFtLNI/u8EhBXtkZ/PWviiZMh8BIffc/kKoluD7TcDoCqsQNSYxDZysWteRffzX8p3Awv0djjecTLCH54KC0vLxrwVIlUqK8oRtX4uOiV8BCddCSr0lojyfQphj7/LbRGpUbD9ZgBUhRWImsKp2H2o+vElZfFosW4ghr6PoLC+TXE7RHUSH7kdVlunwr/qtPws6q/lg4vgf3vPy1cQ3XpsvxkAVWEFoqYiZgpHfTMPneIWyDXShEOuQ+H36By4e7Vpqtsiuq6L6SlI+uoVRORukZ/F9ofxnaYg/KFJ7MGmRsf2mwFQFVYgamriHarT615WZk4W6u1wNHAcwv72KndKIKMgJjJFr38PIUmfwUFXKu9J/LASMPp9uHn6GMU9kvaw/WYAVIUViIyFWDLGcus0Zbusc7qWON/9ZYQNHsveFWoSYiePP7YsR+uoufBCprwHMdxbPWgWJ3lQk2P7zQCoCisQGZPqqipE/fgx/A5/IBfRFU5aBqCs/0x07j3MmG6VzJgIfkd//wE2u99T3lNNhztSu72CsKHP8gcSMgpsvxkAVWEFImMkZgsfFkNuZ1YqQ26xtt1he+/rnChCt1T8oV9Qtf0tdCqPlZ+L9TY43H4sQv/2b9g5OF2+iqjpsf1mAFSFFYiMWVZGKhLXv46wzO9hpauSt3rYrgfs730NgV37GPOtk4k5GbMHRT+/g9CSA/LOy/XN8GfLhxDw0Otw9/I1sachLWD7zQCoCisQmYJzSceQ9sObCMvdBkudXt5yjH0vOAz8F4MgqRJ/cBvKd85FSGmk/Fypt8CfbkPQZsSb8GoTePkqIuPD9psBUBVWIDIlKScPI33TOwjL/UUJgkdtQqG/4yV0vms4dBYWpvQ41EQuveO3ERa/v68M9VbpdYh2GYCWD7wO38AuTXRnRLXH9psBUBVWIDJFySdikLH5XXTN3S53FBESLf2RGzYeofc+hWZW1qb4WHSLlZeV4vDWz+EWuwz+VUmXjuktEdNiKHzufxU+fp0uX0lk/Nh+MwCqwgpEpuz82QSc3TQPIRd+hL2uTD5KOjxw2u8xdBg6Aa7uXqb8eNRA8rIycHzTAgScXgsP5MhjJXprxHo8gLYP/gtevgGXryQyHWy/GQBVYQUic5B7MR1xP36I4OQv0Rz58pFK9VaIbT4QLe6eCP+QO8zhMakOxDDvyZjdyNu9BLfnbIetrkIez0RzJLYfjQ73vcgfEMiksf1mAFSFFYjMSWlJEWLFEN/RFQioOqU8WkKz25DX4TF0HDgGjs7NleNkfooKcnF062doEf/fK+rAKUs/ZIf8A10Gj+UOM2QW2H4zAKrCCkTmSPT+JET9iqI9nyAkf5eyhIxY0+1o8wFwvmMsbus+gJNGzIRYQDzuwFYUR65Gx5ydytqRZaIX2LU/nHqPw23d7uafN5kVtt8MgKqwApG5u5iegsRflsEnaT189WnK46bqWiGl9X3wuesJtAkKVY6T6UhNPIrU3z5Hm3Mb4a2/oNx4is4b5wIeRfCgcRzmJbPF9psBUBVWINIK0SsYH/kLCvevQKecHcqkEUFsN5flNwzt7hrNtd+M3LmkOCT/vhYeZzdfMcRboLdDXIt74NTjCQSHD2RvH5k9tt8MgKqwApEWiffE4n5bB6vj36BTcZSylIwgwuBF34Hw7jkKbYPDlOPUNERwT06IRlrk93BP/gmBlSeVGxGLNh+364by2x9B5/6PwdbeUTlHZO7YfjMAqsIKRFqXfeEcTu5cA6fEHxFcfgwWlxeYFpItfJDm0QeOnYcgMHwgbGztlXN064j1+hIO/oyio5vgm7kLPvoM5ZxYsPm4bShKAochsO9jaO7RSjlHpCVsvxkAVWEFIvof8b5g0u/rYZO4BR1K/oT15ckjgphAcsIhDGXt7oZ32BC09uvEYcYGYujlOx+zFbYpexBQFANHXYlyXkzmiLcLRan/YBn63Dx9lHNEWsX2mwFQFVYgomvLz83Cyb3fofrEL2ifdwDuyFXOCRfghmTnMFS3uROtQgcyENaBDHxiN5ejv0GXsh9t86LgiWzlvJAFF5xyvRNWHe9DUK/74eDkqpwjIrbfgk6v1/9vzIbqhAGQ6ObEMiNJRw/gYvRmOJ/bhYDyeFjrKpXzgggsyfadUObZFY4BPdEu5C6uOXhZXs5FpBzbh4KkSNilR6Jd8RG4otBwWhILd5+0vR1FPr3h3mUQ/Dr3goWlpXKeiK7E9tsEAuC7776LzZs3IyYmBtbW1sjNvbIn4VpEpp05cyaWLVsmr7/zzjuxePFiBAYGKteUlpZiypQp+Oqrr1BWVoZBgwbhk08+QcuWLZVrboYViKjuSooKcCp6Jwrjf4NzxsFrBsJqvQ4plq1x0SEQ5e4dYd8mFN63hcPdq43ZDh2Lnr0LaaeRkRiD4pTDsLoQi5aF8WitP6+Ui4HYii3JJhj5Ht3gFNwfAd3vga2dg3KeiG6M7bcJBEAR5FxdXZGamorPPvusVgFwzpw5mDVrFlatWoX27dtjxowZOHLkCI4fPw5bW1t5zfjx42WwXLlyJVxcXPDCCy/AwsICe/fuvfx/uTlWICL1SosLcebofuSe3A+r83/Au/AYWiEZiOqVAAAMZUlEQVRTOV9TDpyQYeWLfId2qHILgE3LILRo0xEevgGwd3RRrjNmhfk5yDibgPy0BJRdOAWL7ES4FJyCd8VZONV4d6+mNJ0n0u2DUe7dHW4d+qJ9516wsrZRzhNR3bD9NoEAaCCC2qRJk24aAEXvn7e3t+zdmzp1qjyWl5cne/bE/+PRRx+Vnz08PLB27Vo8/PDD8pr4+Hh06NAB+/fvR8+ePeWxm2EFIro1LqYn49zxA7InzPricbgXnUTrqlRY1phlfLUcOCPL0gMFNl4oc/SB3tELlk4esHHxgn1zLzi1aAVnN0/Y2Ts1eC+i6L0rLMhFQfYFFOVlojQvEyXZ51Cddx66wvOwLs6AQ3km3CvT4XZ5v+VrEUuznLP0QZZ9e5R5hMCxfXf4duzFBZmJGhjbbzMMgElJSfD390d0dDRCQ/+3Q0Hfvn3l5wULFmDHjh0YMGAAcnJyZO+iQdu2bWXInDx5snKsJjFULH4ZiArk6+srA6Wzs7NynIganugpTD15GHmpcSjPOAGr3FNwKT4Lr4rU6/acXYsIWUU6OxTDHiUWDii3tEeVzgpVFlaoFr90l/4t6FANnb5aJDz5bwt9BZpVlcKqWvwqg7W+FHb6EjjrC69YD/FmRFjNbOaFfDtfVLq0g1WrjnBr3wU+/rdzr12iRsAAaIYBcN++ffKdv7S0NLRq9b81rkaNGgWdTod169bJnr+nn376ijAnREREoH///nII+VreeOMNvPnmm8pnAwZAoqYlZh1fTE1EfsZplF08A31OMixLLsKmLBv2FdlwrsqBqz7viqVpbgXxbl6BzhGFFs4otHZHqa0nqhy9YOHcCtau3nD28oNn22A4ubgp/w0RNT4GwCYKgNOnT79uyDKIi4tDcHCw8rm2Q8C3MgCyB5DIdIlh2uKifBQX5MpfpQXZKC/OQ2VJPqoqy6GvKIe+qhx68XVVuez/g87i0nCx7tIvXTMbWNrYw9LGAc1s7NHM1gE2do5wbN4STq7u3E2DyEQwADZRAMzMzERWVtYNq4mfn5+c9WtQ2wB4K4eAr8YKREREZHrYfjdRAKyP2gZAwyQQMQFETAQRxB+0p6fnXyaBfPnllxg5cqS8JiEhQfY4chIIERGReWMANIEAmJycjOzsbPz444+YN28e9uzZI2tlQEAAHB0vbV4ugptY9mXEiBHysxjCnT179hXLwMTGxv5lGZgtW7bIUCgmcEycOFEeF0PItcUKREREZHrYfptAABwzZowMclfbuXMn+vXrJ78W7/atWLFCXisYFoL+9NNPZY9h79695SLPQUFB8rxgWAha9ALWXAjay8tLueZmWIGIiIhMD9tvEwiAxowViIiIyPSw/WYAVIUViIiIyPSw/WYAVIUViIiIyPSw/WYAVIUViIiIyPSw/WYAVIUViIiIyPSw/WYAVIUViIiIyPSw/WYAVIUViIiIyPSw/WYAVIUViIiIyPSw/WYAVIUViIiIyPSw/WYAVIUViIiIyPSw/WYAVCUvLw+urq5ISUmR+wkTERGR8RMB0NfXV24X6+LiYvw3fAvo9GLjXKqX1NRUWYGIiIjI9IgOnNatW5vejTcABkAVqqurkZaWBicnJ+h0OuU41Y7hJzD2oDYMlmfDYnk2LJZnw2J5qiP6vgoKCuDt7Q0LCwvluJYwAFKTEd/ARNe7GErnELp6LM+GxfJsWCzPhsXyJLUYAKnJ8BtYw2J5NiyWZ8NieTYsliepxQBITYbfwBoWy7NhsTwbFsuzYbE8SS0GQGoyZWVlmDVrFl599VXY2Ng02X2YC5Znw2J5NiyWZ8NieZJaDIBEREREGsMASERERKQxDIBEREREGsMASERERKQxDIBEREREGsMASI3q3XffxebNmxETEwNra2u5D+PNiBXbZ86ciWXLlsnr77zzTixevBiBgYHKNVqVnZ2NiRMnYuPGjXI1+5EjR2LBggVwdHS8bpGMGTMGq1atUj4LgwYNwtatW5XPWvHxxx9j3rx5SE9PR5cuXbBo0SJERERc9/F/++03/POf/8SxY8fkLjavvfaaLE+6pC7lKcqyf//+ymeD8+fPw8vLS/msRbt375bl+Mcff8jy+O677zB8+PAbFgXrJtUVAyA1KhHkXF1d5T7Kn332Wa0C4Jw5c+RyMSK0tG/fHjNmzMCRI0dw/Phx2NraKtdp0ZAhQ2QDsXTpUlRUVODpp59GeHg41q5de93iEIElIyMDK1asUI6JZXiaN2+ufNaCdevW4cknn8SSJUvQo0cPzJ8/H+vXr0dCQgI8PT3/UgSnT59G586d8dxzz+HZZ5/Fr7/+ikmTJskfaESA1rq6lqchAIrzNXcCEtdqdWsug59++gl79+5Ft27d8NBDD900ALJuUn0wAFKTWLlypWw8bxYARe+f2KtxypQpmDp1qjwmto5r2bKl/H88+uijl6/Unri4OHTs2BGRkZHo3r27LADRizd06FAZsEW5XYsIgKLcv//+e+WYFomQIsLyRx99JB9f7O0tevVEj+r06dP/UiTTpk2TYe/o0aPKMVH/RFlqsff0anUtT0MAzMnJkT8U0rWJfeZvFgBZN6k+GACpSdQ2ACYlJcHf3x/R0dEIDQ1Vjvft21d+FsOdWvX555/LYCwaUIPKykrZKyp6XkaMGKEcr0kEQBH+xBC86PW7++678c4776BFixbKNeauvLwc9vb2+Oabb65oWJ966ilZJ3/44QflmEGfPn0QFhYme7YMRC+qqMfihxItq095GgJg27Zt5aLGonf1jTfekK940P/UJgCyblJ9MABSk6htANy3b59sENLS0tCqVSvl+KhRo+Q3RjHspFXvvfeeHBYXQ2g1iSG0N998E+PHj1eO1fTVV1/JxloMp586dQr/+te/5DuD+/fvh6WlpXKdORP1ycfHR9avXr16KY/6yiuvYNeuXTh48KByzCAoKEgOsYudawy2bNmC++67D8XFxbCzs1OOa019ylPUWxECRe+1CIDLly/H6tWr5bUiaNMltQmArJtUHwyApJoY3hHv6d2IGK4MDg5WPjMAXl9ty3PDhg31CoBXM/Sybt++HQMGDFCOm7P6BBY2stdXn/K8FtGz36ZNGxkE6RIGQLpVGABJtczMTGRlZSmfr8XPz08OORrUNgBqcQi4tuW5Zs2aeg0BX4uHh4ccBh43bpxyzJzVZ8iSw2zXV5/yvJaXX34Zv//+u+yNpktqEwBZN6k+GACpSdQ2ABomgYgJICLsCPn5+bKXi5NALk0CiYqKkrMFhW3btmHw4ME3nARyNXGt6HUR7wUOGzZMOW7uxKQFsUSJWKpEEJMWRDm88MIL15y0IF60F0O+Yga6wejRo+VSPJwEcmkSSF3K81oGDhwIJycn2btNl9QmALJuUn0wAFKjSk5Olg3mjz/+KNe52rNnj/z9AwIClLXrxFCxWPbF0IMlhkNnz559xTIwsbGxXAYGkMvAiCVdxNIbhmVgxDtVNZeBqVmehYWFcnhYrBco1loT7wCKYbqCggIZbMRyMFoh3h8VPVRiCR0RXMTkjq+//hrx8fFylrl41+/cuXP44osvZJEYltqYMGECxo4dix07duDFF1/kMjCX1bU8xXnx97lTp04oLS2V7wCK8Ch+iNHKqwjXI/6eJiYmyq+7du2KDz/8UE6YcXNzk6H66rJk3aT6YACkRnWtRYiFnTt3ol+/fvJr8ROvmF1pWGDXsBD0p59+KnsMe/fujU8++US+k6V1IkyLHpaaC0EvXLjwioWga5ZnSUmJ7EkQs6pFWYpewnvvvRdvv/22bKS1RixZYli4WMwqF2UnerIEUV5nzpyRExUMxNeTJ0+WP3y0bt1a/jBiqKeEOpXn3Llz5d9pEWTE8HFISAhef/31ay4OrTWGGdJXEwFbjHxcXZYC6ybVFQMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpDAMgERERkcYwABIRERFpzP8DSekpAxRLFFYAAAAQZGVCRzcyQjNFRjZDRjUzQUYxMjA9d/13AAAAAElFTkSuQmCC"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"## question 1\n\nimport numpy as np\n\ndef XetY(n):\n\n    X=np.zeros([n+1,1])\n    Y=np.zeros([n+1,1])\n    \n   ...\n\n\n    return X,Y  \n","execution_count":null,"outputs":[]},{"metadata":{"trusted":false},"cell_type":"code","source":"# question 2, les tests\n\n","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"# question 3\n\ndef poly(n,a):\n    t=np.linspace(0,2*np.pi,200)\n    plt.plot(np.cos(t),np.sin(t))\n    \n    X, Y= ?\n\n    for k in range(0,n):\n        plt.plot( ??? ,'grey',linewidth=0.5)\n        \n        \n    plt.title('a='+str(a)+',  n='+str(n))    \n    plt.axis('equal') # facultatif  \n      \n    plt.show()   ","execution_count":4,"outputs":[]},{"metadata":{"trusted":false},"cell_type":"code","source":"# tests :","execution_count":null,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"Question 4 :"},{"metadata":{"trusted":false},"cell_type":"code","source":"","execution_count":null,"outputs":[]}],"metadata":{"kernelspec":{"name":"python3","display_name":"Python 3","language":"python"}},"nbformat":4,"nbformat_minor":2}