{ "cells": [ { "cell_type": "markdown", "metadata": { "toc": "true" }, "source": [ "# Table of Contents\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Quick demonstration of GNU Octave\n", "In a Jupyter Notebook\n", "\n", "> - This [Jupyter Notebook](http://jupyter.org/) was written by [Lilian Besson](https://github.com/Naereen/).\n", "> - It uses the unofficial [Octave kernel for Jupyter](https://github.com/calysto/octave_kernel) by [@Calysto](https://github.com/calysto/)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Some basic plotting" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N = 100\n", "Number of values N =100\n", "h = 0.010000\n", "Step h = 0.01\n" ] } ], "source": [ "% Some variables\n", "N = 100\n", "disp(['Number of values N =', num2str(N)])\n", "h = 1 / N\n", "disp(['Step h = ', num2str(h)])" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ans = 629\n", "ans = 629\n", "ans = 629\n" ] } ], "source": [ "% Some arrays\n", "t = 0 : h : 2*pi;\n", "x = cos(t);\n", "y = sin(t);\n", "length(t)\n", "length(x)\n", "length(y)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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obOTgQWS5J3OSJCHLFBZSUkJiIhEResvz7i0dwl1iIjU11Ndz8qQh3BnoCOXT\nXFHBrbfyySe0txMTwwsvkJDA1KnqudUGnmDQSHYKFguSxLe/zfnz3H8/w4bR1MSBA+zfT0MDDsc1\n9ySVOSs/n/p6ystJTsZkUvO8dRl60zO7OrLAp09n61ZKSqit1fqcNJj95Y/4zC7lOy+KHDzIa69R\nXo7bzaxZbNvGTTfhcPSz/k6X/jIkux6Tnk5urtpS6MYbiYigqIhjx9i3j9tvx2brXmxSJqwZM6iu\n5q67WLSIFSvUX+oy9KbHdilZ4OHhqnBXWNjDgNNnDHJ/+R0+s0vpEuRwUFvLqVO0tTFyJMHB3Hor\nX3zR/6ojXfrLkOx6Q3q6uuR54QVGjCA4mIICNRjPyMBm6+ZPnU42bGDDBsrLKSnR+jN3gLFYmDjx\na+EuP1+VNw0M/BWnk/R03nuPpiY2bKClBZOJ+fO59VYOHTIa1nmcQSbZKQiC2lVo/Xr1JNSmJn7w\nA5qa+Otfycy8Wt9VpfCooYGDB5k6leRk9TIKugy96Y1dgsCKFcyYwV13UVzMjBnqO61NDH/5Fz6w\nS1m2/r//x9SpfPwxFRUEBjJ/PiNHEh5ORoZHPty69Jch2fUSqxVJYuZM6uu56y7cbhoaeOcdRozA\nZlOLri+lo/Do+HFmzwaYMeOSMlhdht700i7ltSUlNDayYQM5OdrdSTL85V/4wC5BwGZj+nTefptz\n52hsRCl9v+UWTKZLVqP9QJf+MiS73pOezvHjPPooJhPx8TQ20tjIe++RkEBOzpUvdzo5eZL6ehob\niY0lOblvddk6R3lPkpOZOpXCQior/aYsycDgcmw2brqJTZs4dYpz50hIQBCYPp3mZrUvg4GnGZSS\nnYIsk5lJXh4LFpCcTGwsxcUUF7NxI3PmXLawV/6vpITdu5k+neRkxoy5/AOpy9Cb3tsliiQnA0yd\nyvHjuFxq40CtYfjLvxhou5RGl+vWERREURGRkQQG8sQTlJR4djbSpb8Mya73KJWwSoPehx8mLIzg\nYIqKaGlh717i4jp2kpSd+fx8tfAoJobIyC4KD3QZetN7uwSBadPUKb6xUbunyhr+8i8G1C6Hg/R0\ncnJ49FG2bGHIEMLC+OMfqakhMxNJ8qA2okt/GZJdn1AOp/j+95EkvvlNwsIAtm+npYXPPkMUleeo\nIkPNmEF9PQ89REaGnx38M/CIImPGYDaTmsru3V8fmGRg4Aco843NRkoKTz9NbS2trepO0u23Y7d7\n5FRPgy4JevHFFwf+ruXl5VoJVEWRdetIS+PwYZKTgv+x1QAAIABJREFUOXGC9naqqvjRj5TPpdwU\n8f6HYQcPsn49w4cTHs7QoQgC4eGXX0nQ6YZS3+waNYpp03C5iIoiJISZMzVXzG74y78YOLtkmTff\nZPx4/vEPJInKSsxmpk5lyRJ27+bZZz17N136q89P+EEs2XVgtZKTw5QpxMUxdCjNzRQW8oc/0NSE\nJDl3NCi5DPX1hIaSknLVXAZdht70wy7lTI/ISDZv5tNPWbdOW9kNhr/8i4Gza+1a5sxh40aKiykr\nY/hw4uK4806OHSMjw+Pbobr0lyHZ9QNRJCOD0FDMZiZNIjqa1lby8vjyS6k5kYICJZdh9uzLC48M\nusdiISUFICGBwkJcLqNO1kDzZGWpTVSHDePoUQIDAZ5+mgMHyMzE7TYya73KoJfsFBQBrrKSkSM5\nfJiaGpqb5TDz0aKI/MCZBQcbho0yJSaSnMzChVe9hi5Db/phl/KmhoVx5gyFhSQnoyybNOJ5w1/+\nxUDY5XQyaRL//Cd33skf/0hTEyEhvPoqJSV873s4nd7QnXXpL0Oy6x/KAX1Tp9LWxv33ExZGfb1w\n+N+iqXxG/Q65Mfzb33A9+CD33dfdNXQZetM/uxR5MyGBBQvYvZviYuWCHhtbfzD85V943S5ZRhDI\nySEpiZ/8hJoaGhtJTGTDBiZOxG73Ui6TLv3V5yf8EM+Ow4+xWNTGvZLEnDl88YWjdtaOLYkl1y+K\naK8rONKCGTSzuvcjLBY1wb64mJgYo6DQQKsIAqtWMWUKf/87skx1NaNHEx7OkiXs2kVGhq/HNygY\nxIWxl6HsDkkS5eWEhTmjF1FdU3K2vfhAecLwppTg09fcPdKWCOk5+m+XJFFQQEoKH3zA++/zwQea\n2Eky/OVfeN0um42nnmLjRmprqaoiMhLg0Uc5dIiMDO8lierSX0ZhrCdQjpQND5em3CsHD88Pni01\nJUxtO5Dc9iXDhlmkrjuudqDL0BtP2CWKanZDVBQXLmilTtbwl3/hXbuUSthf/YpJkzh0iIAAgoJ4\n8kkOHPB2bKRLfxlZdh5CEOSxN0hlpoKJ99QHmWqIjJVPJoeXWM5v6qiTNegtHZXFEydy8CBAQYHx\nXhpoBlnGYsFm49VX2bSJ0FDCw1mxgvJyMjO9lMtg0CVGlt2lCEL4ycPCpFHNF1t3lYyZ2bDzm6aN\nc0Lzw1f+l1q/3dh4tbxPXWbL4CG7Ro1CFGlrIyoKIDaWxYv7f9V+YfjLv/CiXeHh/Pa3zJrFyy+z\nbx8XL6IoTrfcwpYtLF/eRRm859Clv4wsO4/hqJ39+p8CcvfFNgaEVwbGSBdHSBK88QZNTeTkdLOP\npMvQG8/Z5XBQVwfw0Uds384HH/g43c7wl3/hRbuys7n9dv72NwoKqKnBbGboUB5+WN098vKEoUt/\nGZKdZ3A6ITKy8OKo3aeGTx1fnyjUC6YWseEI27ezcSMPP0x2tq/H6K8oZ5wDU6dSUkJhoVEna6AB\nHA4yM/n974mM5OxZQkKoq+OZZzhwgOeeM8pgBxgjy+5rZBlZxuWiJmR47IgQgoOT066zRBzD7aas\nDLOZNWu6OU9WoyJkv/GUXUqa4owZJCZSUgK+3kky/OVfeMUuSfp692jbNiIiGDKEVas4d45nn8Xp\nHIAaBV36y8iy8wCCoK7iS0v5z+80Pvho2H1pdbz0EsHBBAezaxfPP4/NptYqXYEuQ288apcoYrXy\n5JMsXozLRWSkL/umG/7yL7xiV0dX78WLaW6mrIz4eLZuVbt6D8inU5f+MiQ7D+Bw8PrrvPceEREU\n1JqlvZVy81D++U/GjqWqitpaHn6YWbPIyjIC+T7jdKpR0b59bN+Ow2Gk2xn4CFlm1SpmzeIf/6Cu\njlOnEEWio3nkET75xDhjwicYkp2K8lgsLqawkIQEUlIQJsQLB7fx8MMEBZGcTEkJ1dW88gr/+Z/Y\nbFfufugy9MbTdikJtLGxzJ6NJJGfryqlA4/hL//C83Y5nWRksHmzGrCPHElbGzt3kpdHZuaALTp1\n6S9DsusvSlFsQwN33smdd2K1YnksleeeY/9+fvxjKivVM84tFtasISNDPVyhE7oMvfGCXRYLM2YQ\nG0tNDfX1uFy+CZIMf/kXnrdLEPj8c5KSePZZWlupq+Puu3nySbKyBjIBVJf+MiS7fiFJOBy8/z55\neQB1dV9NN04n3/8+BQX88pfU1zN0KHY7q1fzhz8YHdn6jCCoO0l33UVxMWazUXdoMODYbDidBAby\npz8RGUlzM+PHU1HB889jtxufSF9hSHbIsqodKWKdydTpEWm1Yrdz++28/TbJydTUEBbGTTeRlIQk\nXbaw12XojXfsUnaSKispKWHHDl5/3QdBkuEv/8KTdinJdUVFHDpETQ3l5cTFIQg88gg5OQO8e6RL\nfxmSXd9xOtVzejp2jy45EzY9ndde44c/JC6OESPUM85PnaKpCS45SkGXoTfesUuZ7xMTmT1bPZZC\nWRYMJIa//AtP2qX0n7//fpqbqapi+HAmT+all9i8mcxMj92lZ+jSX4Zk13esVrVgs2P36PIlS3Y2\neXn85S9ERREfT00NUVGkpmrlYB//xGpl5UrmzSMhgZgYdQ/PwGAgsNkYP57169myhYYGgoIYO5b1\n68nIML7UvmWw97JzOjl6lPfeY/dukpNpbiYwkFGjOr0iPJyjR7FaeeopUlI4d46KCgoLCQlh9GiK\ni5k0SXmhLntS4TW7ZJmdO3G5aGtj0yYaG2loQBC82jbsEgx/+Rces8tuJy2N//N/2LuXsjJCQ4mK\nYsIEFi+mpGTgK+N06S+jl11fUFrXFBRQUkJyMkBKSlfbmRYLq1bx1FMMH05MDBERNDXxr3+xdy8z\nZ3ak2+ky9MZrdimNG8xm4uMB6usHunGD4S//wjN2SRLp6eTk8PTTyDJDhzJ0KC+/TGoqhYU+qT3S\npb8Mya4viCIWCykp1Nfz0EOsXHn15VF2NhUVLF1KVhZRUQwZQkAADzxATs7VGjcYXBNlry4lhdRU\ndu+mqAgw6mQNvIkgkJ2NxcKjj+J2U11NTAx79jBihFHtrgV8c4S5RrLsHA41uS4iApcLh0M9b7tr\nLBYOHWLvXoYN4+xZWlv57nex2cjOVjZCNSJCehyv2qXEo7W1bNpEePiA6iWGv/wLD9glyzgczJrF\nn/9MSAinTyOKRESwcCEVFb5qY6VLfxlZdr2mozVDcTEJCZjNlybXXYkg0NzMhAmMHs3o0Wq63f/8\nD7ffzqpVyLIuQ2+8Lyk4HLhcJCayaROrV+NwDFDAafjLv/CAXZJESAiffUZ0NEVFjBhBQwPPPkte\nHlarryIkXfrLkOx6jcWCxUJDA7fdxkMPdZVcdxnKpkdLC9/6Fg0NxMVRVERUFKtWsXixodr1GUU1\njYgA1MYNxntp4BWcTkpLWbqUL77AZCI4mN//noICMjONc1A0wiAtjFVaM7z+utqaobb2yk5AXSEI\nLF1KQQG//736gf7kE1aupLAQp1OXoTfelxSubNwwMNqJ4S//or92OZ0kJ3PsGN/7HtXV1NcTH8/b\nb5OZicPhw5oDXfrLkOx6gVKDWVDwdWuGyMie9QoRRRwO0tP529+Ij6e+nsBAvv99jh3DYin+5z+9\nPnRfMACSgtL1oqFBbdywevVApDboUirBsKtLZBlRJC8PQaC8nPJyTCauv54VK7DZfNvYW5f+MiS7\nXqCce5SSQk0NCxawYkVvBOT0dOx2Hn2UsDBiY6ms5Nw5BAGHo3XMGCPw7xvKGlFpAX7oEBcu+KBx\ng4GeUc49yszk8GFGjCAigrg4vv1tTpww9DpNMRgLYx0ONm1izx6CgggPp7UV6PGEJMtYLLzxBk8/\nzWef0djImDHU1/Pii9FKCrjuGJjCPVFk7lxaWzl5ktGjWbbM63vMuixIxLCrS2w2liwhK4sjRzh5\nkvh4Ro7E5eLWW9XgyXfo0l9GYWxP6XzuUXIy8fFqskJPEQQcDjIyeOstAgMxmThyhGPHePbZM7Nn\nY7N5beA+Y2AkBSUj1+UiNpaNG9V0O6+uXHUplWDY1dVfkpbGyy8zciTFxURGEh7OPfeQlITT6fPG\n3rr0lyHZ9RQluS48nIkTmTGDFSt6/4FMT8fpZMwYvv1t3G5CQ3G5iI+Pfu010tKM8L9vdDRuUM5J\nAp+dk2SgN2SZvXt59VU+/ZShQxk2jNWrGT6cW24Z+FaqBt0zuCQ7ZfN80yY++IA5czCZKCnpU7wu\nCIwYQXMzkyezdy+BgZw9G/qPf7BjB3BpLzy/Z8AkBWVOmjuX06eprmbGDO8qoLqUSjDsugxlUVNQ\nwKpVVFdz/jw330xhId/4BpWVWmjoq0t/GZLdtVH2yV0uLlwgKqo3yXVXIopIEuPH88UXjB3LhQuE\nhV28+27Ky0Fv3W8GUlJwOtX8++PH2bABh8OL76UupRIMuzqj7A85HNTXU1SEy8XYsVy8yFNP8ckn\nPhfrFHTpL0OyuzZKvYvZzIULLFnSy+S6K7Fa+eQT1q0jIYFJkygtDWhqUs+kEEVDuOsbyiMiNpbk\nZE6coLbWSLcz6AcdyXVtbQQGEhdHaCi/+x0OB1lZRvM6DTKIJDunk7fe4uRJioqIiellct2VNDZi\ntfLMM0yYwNatNDUFNzYiy9x1F/pKtxtgSUFR7YKD+fRT0tK82NJFl1IJhl2dycri8cf52c/Iz+fk\nScLDEUXOnePppzl6VCPSui79ZUh210A5aeLCBXbvZsqU3ifXXYkgYLfzi19QXU1KCiZTa00NhYWs\nWaPWfuuFAZYUOtLtIiJ47z3WrPFWup0upRIMuzqTkcHatXzjG1RXExhIfDwvvMDSpWofZW2gS38Z\nkt01EEWsVsLDSUhg3rw+JdddSXo6DgdLl/LjHxMT4w4JUeVpm007H3e/oyPdLiGBykrq6qitNVQ7\ng95js7F9O0lJvPACFRW0tzNyJOvXU1OjJwFDZwyKXnbKonv1aj79lMREtXOdZxbdVivFxXz2GYmJ\nwa2tNDbyne+QkoLdrpuapIEXV5XVw0MPMWYMZnM/ck+ucRffZ1h5A8MuQC0wOnOGf/2LIUOoqGDU\nKMLCuP9+Kio0tXukS38Zvey6w+mkthagpob4eCIjr3XSRK9obmbhQoKDG0aN4vx5AgP5y18oKiI9\nXR8Le59ICopqZzbzpz+Rm+uVMyl0KZVg2KVgsZCTw2OPUV5OczOTJmEy8eabfPKJ1sIjXfqrz094\n3xzQN8BYreoDbvFiVqzw6KWV1D2bjZycgGnTmDqVc+c4d46//hWbjawsj95sEKE8NBSvDfDBfQZ+\njyxjs7F8Oc88w4ULVFTQ0sK8eXzrW/z1r0YGrJbRf5ad08nRo2zYQEEBI0YQEIAsezS/xuViyRKe\neGLInDns2IEsExHBgQN873vY7TrYTPJJFpAss3MntbU0N7N+PVVVNDQgCISHe+wWusxuwrALcLmY\nPJmXX2boUJxOoqOJimLyZB56iNxc5s3z5jB7jS79NaBZdrIsy/1bZQyYZKck19XWcuIEiYnExgKe\nniNEEbudn/ykSpIYPpzoaEpLGTaMV14hLU0Hqp1PJAUltSEyEpMJvjq4z7NFsrqUSjDs4qteQT/5\nCbt3ExlJUBArV5KaSmGhBnsF6dJfAyfZ2e12SZIEQRBF0XoVJSXrK6kqLS3taq8ZGERRrdR2u9Vj\nYb1Cejo2W8v48cyfz5o1BAaycyd//zt792qhN4mfovjOaqWsjLa2gTu4z8C/UZYt5eVkZhIYiCxz\n331s3Mgjj5CY6OvBGVyDXk9IkiQp8012dnY3k012dnY3FxmYLDtZxunE5eLwYerqcLnU8gOvhMiC\nMPzGG/nNb4iLo6CA6GiefJL771fjJ5+eANZPfJgF5HSqgv+//011NXx1lpVH0GV2E4PcLuV0mOxs\nZJniYsrLSUmhtJRXXiEnh+XLvT/MXqNLf/X5Cd/3pAbL1R8MMTExNptNlmVBEDK7ipHtdrvL5TKb\nzS6Xa/To0QsWLFDiVlEUPfuD1SquW+c6fDhyyRLT3LkSIAgevoXyQ+D48ZHvvlv90ksxL70UnZLS\nVFnZFhwckZpaZbNVZmWJXwXmHjdwAH7oYODvLgjIshgYWD5hwpB9+4Trrz8/dKhbEMzg33bp1V++\nt0sQLmRlVS9fLmZnNzU3uwUhLCjozE9+MjQnJzY7W5IkJEkj5ujPX1u3bj179qzyVN+xY0cftTF3\nL1m1apXyQ25ubs9ffBlvvvlmb+/bB3Jz3dnZ7p//3H3//e7sbHdurvvkSS/e7uTJk+6nn3a/+qp7\n+nS32exOTXWnpbn37nWvWuWurPTijb3MSa++az0jN9e9eLG7B5+4XqAFu7zBoLYrN9edn+9+7DH3\n4sXuuDj3pEnub3/b/dOfuisr3Xv3en+MfUGX/urzE77vdUjOTlvMvU1zGADJTll81NervYJMpn73\nCroWoiyrnYTi4jCbOXMGs5k//IGMDL/u/y36VFLo6CQUEMB777FunceKmn1rl/cY1HYJAidOsHAh\nFRVERBATw+OPa61X0GXo0l8DJ9mJomiz2bhUsktPT+/4PZCVlTVz5kxZlq/2Xg9Alp2yJZ6fr/YK\nGoD9cEkQRKWT0IQJ/PSnJCSQn89vf+vvqQ2SJPnwO6MUegEuFwUFnkxt8K1d3mPw2pWVxeLFlJfz\nzjtUVFBfT1ISn33GwoVa3sTVpb8GLssuPT1dCYY6p8/b7fbOr8nOzpYkSRAEX6XYK+kMBQVs3Mic\nOWqvIG+lM3TGamX/fjZuZOZMHA5EkeefZ9kytTTXyBLrE5KkxruyTG4u+fleP7vPwP+QZbKzeegh\nzGZqarh4Ue0V9J3v+LU+Mdjoi2R35Uxz5W9EUexmNvK2ZKd8AuvqqKkhNtbTvYKugrrM2byZlSsJ\nDCQxkdOnCQykooKf/xyr1U9rkny+fFN8ZzIxezYHD1JfD3jgvfS5XV5i8NqVnc1777FlC0OGMHo0\ncXGsXq39HFdd+svoZXcJHcvnW29l5Uqs1oHQzCRJQhDIzsbhIDubmBji4mhrY9s2fvtbsrM11dKx\n50gamEctFlasYMYMEhIAzzhUC3Z5g0Fql9PJrFksW0ZYGCdOMGQIU6aop/Npu1eQLv1lHD/xNcox\n2Dt2sGUL4eHePQa769tnZvLnP5OQwPDhFBZSWsrjj3P77Xo6JGmAUVIbamtJTOTTTz2Z2mCgEwRB\nbel97hypqTQ2qlK50+mnC8HBiQ6Pn7BYsFppaGDiRPXI0YHJr1FDb4tFPSTp5ZcpLychgepqBIE9\ne/z0CaoFSUFJbbjvPubNIyhITW3o53NGC3Z5g8FolyJIFBXx0Ue0tuJyMXEiq1cD2t9s1KW/DMlO\nRZJwOFizhs2bMZvVdIaB4evQOz2dmBh+9SsmTVL73mzbxrFjpKVxafaHX6ARSUHxLDBiBG+8werV\n/fWsRuzyOIPOLkkiK4tf/YriYpRDMkePJiqKV17xi3QGXfrLkOwAZFnd6y4rIyoKk8lbZ7tdm9xc\nnn+e4GBGjkSWqa8nJISXXyY93U/jJJ/TkZYydizFxQC1tX7xwDHwMsrG7auvsn07zc2MHMmsWWo6\ng/ZaqRp0T4Db7R74uzocDu81XXU42LSJYcPwxcEancjOJjOTZctwOhk2jIgI8vOx2xFFzdbo+QUO\nB9u2kZJitFs1+GoRWlPDa69x8iQFBcyYwZIltLWRmWnsHvmKPj/hdSXZORx88AH5+ezbR0ODV44Z\n7YZLQm9ZJjOTX/+aqCjGjKG4mIYGnnmGpib1X/0HTUkKSmpDZKQHTpLVlF0eZHDZJQh8/jnHjtHe\nTmEhFgv19Ywb50dVFrr0lyHZAVitREZSW8t3v6umM/hsv1AQcDhISuL3v8ftZsoUams5dYrUVJTs\ncIM+YbGohyTFxqJ85iXJv+Z3A4+Smcmjj1JbS3ExI0Zw8SIrV1JQYOgQfop+ToztOBl2zx7MZsxm\nT58Mey0uLwSeNAlR5Ec/Yvp0Dh6kogK3m8ZG7rnHv06S1dSJluHhiCI33khICE4nN96I1drHY2Q1\nZZcHGUR2SRK33MITT1BSgstFTQ2zZ1NUxHPP4XT6S78uXfprQE+M7T8el+xkWV0ml5aSmKgeMzrA\nz/wuQm+7nVdfBYiNJSyM5mbOn+eVVzReOn4ZWpMUlHS7ujpOnCA/nw8+6GO6ndbs8hSDyC7lZNgf\n/pAvvyQggJEjmTSJ1aux2fxod1GX/hq4XnbaRKlTcTgoLeWnP9XMpzEzE7udpUuprlYz/44c4e9/\nV5O/jRSgPqG0zQUOH1b3k7TiboOBRImBdu/mb39jxAgOHmTqVCoq2L7d+Gb5LzopjFXSGXbsoK1N\nPRl24JcdXYeoFgvFxbS3q10bIiP5/vcpKiI93V9yljVYuKc04wgP59//VlMb+vBeatAujzBY7LJY\nsNm44w6A0lLS0mho4PnnaW72yfD6jC79NdgLY5V0hrY2Fi1SO4YMvJe7Dr1lmeZmfvc7Ghq46SbO\nnaO0lCeewGbzl20kDUoKSjOOJUu45Ragj804NGiXRxgUdskyWVlYrfz3f+NyUVtLYSEZGXz3ux7o\n4TGw6NJfgzrLTlkv5+by738TETHgzeu6x2IhPZ0nnuDWWzl+nAsXaG7m5z8nPR273cgP6zNKL7vI\nSDZvZs0ao7XdIEOWmTOH1asZMYITJxg7lqQkqqv505+MjpF+jR4kO2W9XFlJRgaLFg1c87rLuGro\nbbfzk5/Q2kpoKDExlJQwdCh/+QtxcX6xlNOmpKAMymwmKoqyMqDXqxBt2tV/BoVdTieJiSxZwuef\nExdHczP33queDOtXGUPo1F+DV7LraF63fz91dWpbaJ9w1dA7PZ3cXFJTycwkNJSwMI4cYeFCpk/n\nqzN2tYw2JQVRxGpl2TIWLaK6GnrfRVObdvUf/dulzDrr1/PRRwQHc/48I0eyaxcxMf6Y36JLfw1S\nya6jeV1REWFhKLOyFrdmLBZuvJHDh5k8mZoaKivZsYOVK8nM9Jd6cg2iSLXAvn3k57NunZakWgPv\nYbGQnc3SpZSW0tjI6NG0tPD66+Tk+HpkBv1FD73sHA7efZeUFFau9NQlPY0sY7ORlcWjj3L8OM3N\ntLWxc6d6gJg/CHeaxeGgoIC6OuNc88GB0pmjpob/+R/Kyzl+HFFkyRJOnuSvf/X14AxUBmkvO4eD\ndevIz6ekhPp632R7d9Bd6C0IZGWRnc2ECZhMnDtHeDjf+Q6zZmm/9Y2WJQUlQqqrY8sWNmzo3QdA\ny3b1B53bJYpq8zql9uj664mNJS6O//ovPw2QdemvQSrZWa2YzbhcPPII8+b5tHndNXE6sVp55hla\nW5kxg/PnGTECMFrb9QdFnjWZiIigtBSM1na6p6N53ZEjxMXR2Mh3v8vw4aBNsd6gd/hxL7uO5nXF\nxQwb5oPmdZdxjZ5Uo0YRHs6PfsTUqezYQWMjra1+0dpOy722OlrbxcaydStz5vSitZ2W7eoPerar\no3ldeTmFhbS1MXcuJ0+yfLnyCl+PsS/o0l+Drpddx0L4xAliYjSRznDt0Nvp5NVXcbmYPBmgooKh\nQ3nlFdLSBmB4fUbjkoKSZllbS0VF71rbadyuPqNnu5TmdWlp7NtHWBgxMYwfrzav0642cg106a9B\nJ9kpWb+A281DD6ndGbSO1YrNxquvMno0MTFERLBhA88/T2WlPx5trhGUT8J997FwIS6X0dpOt4Qc\nOoQoUl7Orl0kJHDuHLGx1NWxfTtZWb4enYFn8FfJzuHgwAH27OHLL7FYKClBEPp4DIGn6FHoPWkS\n27dTUkJVFYWFjB7NmTOUlan535oM3rUvKSjibXU1e/dy8SIBAT0Sb7VvV9/Qq11REyfy29+ydCkf\nfcSJE8ybR2kpa9ZQWKjq4f6JLv016CQ7pXlddTWLFnHffZroX9Wj0FtpbffrX6ut7SorcTrJzCQ7\n2/cGXAXtSwpKq45Fi7jtNhoaetqqQ/t29Q192iXLpb/73dfN6xobKSzkP/7DH5vXXYYu/TW4JLuO\n5nX79mmveV33iCLp6TzzDBkZVFRQXk5bG88+y+23G+3Y+kPHm7dtm9raTo9f80GMILQHB7N+PWPG\ncOIEiYkkJ1NSYjSv0xl+2ctOI83rLqOnIardzg9+QESEeibFiRMMGcKbb6qyo/bwi15bygegc2u7\na05IfmFXH9CnXTabOSODCRPUbO/2dr75TT9tXncZuvTXIOplp53mdZfR09A7PZ3KSoYPZ+VKgoOJ\niKCwkKQkvvUtbe7N+oWkoJzQ2KvWdn5hVx/QoV2yTHp6zVNP4XRSVUVlJdOm8dFHftq87jJ06K/B\nI9n5TfO67pFlLBY+/pikJCorqajA5eKxx3juOV+PzI/paG13/Lia/+03Qq5B90gSDkfNI4+wcyeN\njaSkEBWlNq/TpKhg0Gf8LMtOKYSUJPbsYc4cVqxAFLWSX9OLbBlRxGbjxz9mwwZqa4mKYv9+3nlH\nLZj1YXFvV/hLFtCoUYgira2EhQGMHcu8ed293l/s6i16s0s5qvzYsaj33ycoiOPHGTOGCRM4dIgf\n/MDXg/MAevMXMHiy7BwOHA6tNK+7jF6E3rJMZia//jUjRjB6NIWFDB/Oyy/T1IQoai21wY8khQ7x\ndssW9WjzbsbuR3b1Cr3ZpRxVPndunSxz6hRWK7LMM89w880a+vL3A735Cxg8kp2iGPtH87puEAQc\nDpKSWLmS8+e58UZ1I37uXGw2Q4XoM1armv89cSLh4X778TDojN1Oejr//d9BZWXU1nLgAA89xMqV\niKLhXf3hT5KdUv+4YwcHDhAX5/vmdZfRu9B70iREkSee4I47yM+nrIyoKPLy+N73VI1CM/iRpCDL\n6i5DWRmffkpjI9XVV62Y9iO7eoXe7Cor44MPiIkJ3rWLoUNJSiI+np/9DEnS0Je/H+jNX8AgkeyU\nbO+GBiZO1FC2dwe9Dr1tNt56i9Gjue46hg9Cr7ELAAAgAElEQVTn/HluuAGnU2sRkh9JCoKgTuXj\nxlFTQ10dXP1ocz+yq1foyi6bjenTmTCBPXuaAwOJjGTOHDXbW1Nf/n6gK399hf4lOyXbe906PvtM\njY00ku3dd7KyWL+ehgaio6mqormZt9+mqIiYGKO1XZ/pONr81lvhq3RwA79E2Wr90Y84epSKisC6\nOpKTOXWKwEDdzEYGl+EfhbEd2d7KvKvNbO++hKhTp3LzzbS0IIqUlhISAvDyy5qq9fO7wj0l/zsm\nhi1b+PTTqzby8Du7eoh+7JIk7Hb+8z/ZsIHg4CHXXaeWkH/yidZUhP6gH391QueFsco6VxBwuVi4\nUO3trbXPZF9Cb1Hkk0946SV1Tho6lPfe4/XXsdu1U0Tjd5KCIu3Om8fEiVy4cFVp1+/s6iE6sUuW\nEUWamnjnHeLiOHXqYmgoEyaQnU1Wlua+/P1AJ/66FJ1Ldsqa99NPOX6c8HBtZXv3l6ws7HYmTQLY\ns4ehQ/nRjwgJ0WD+tx+hyLnDhvHZZ+oJSfr5wAwSBAGbjbvuwu3G5WLSpCGyrC5FNbNWM/A4/iHZ\ndXQqmzlTu9nefQm9lfxvq5XHH0eWGTuWsjIaG5k/Xzv53/4oKSj530uWEBennpB0pRH+aFdP0Ild\nSpO6//ovjh+nvJxz50IfeYSXX0YUNSfW9w+d+OtS9CzZKekMO3bw9ttERgIaTWfoY+httRITw9/+\nxmOPIcuUl1NaysqV6glJGsAfJQUl50WWiYrijTdYt66LXur+aFdP0IldQUH85S+MG0dBAYGBJCbK\nJSWsXq2/8Egn/roUPUt2St5URAQJCcyYoS5+dUVuLn/8I6GhzJ4NcOSIcRpFP1E2Ha1W7r6blhbM\nZi1uOhpcFYeD6dNZuJAdOwgLY+hQHnzw4t13q3KCgX7RemGsUuq4cyfvvMOECYwbpx6sqpH+dZ3p\ne4GbxcLvfkdYGNXVfPklQ4aQl8fEicyfz4cfqttLvsNPC/ckCaeTwkLOnlWP5w0MvKSS0k/tuiZ6\nsEsUWbmShgZ27KCigvHjuXgxavFirrtOf8sKPfjrCnRbGKssdc1mTCYyMtRlrzY92PfQW5a5+WZS\nUyktZeJEampoaKC+Xj0N09f4qaSgfB3MZqZM4eBB9aSSzqb4qV3XxO/tcjqx2/nFL3j9dZKSMJtp\naODFFy+8+65Gv/n9w+/91RW6leyUYtjcXJqb1Y0BHbpPaTCQl8dvfkNbG3FxTJmCzcaf/oTdrkeD\nBwilQnbePBIS1P/V4/6xvlCyvUNC+M1vSExk505CQpgzB7u9evlyXU5IBp3RdJadsn/pcnHwIDNn\nQqfeMBqkX9kyskxWFn/5CyNHEhWFw8G4cTz/POXlPjfYf7OAlBVMbS2xsXz8sdoqvmNjzn/t6h7/\ntkvJ9p4/n+pqSktJSKC9nXvvxWoVdZfOoODf/roK+syyUyocTSYSEkhL01zzusvoV+gtitjtLF3K\nXXdRXk5cHGfP0t7OihVkZnpujH3BfyUFRe+97z7S0tQmGJ31Xv+1q3v82y5JUtsFlZVx/jxuN0uW\n8PbbxMRIWv7y9wP/9tdV0KFkp2R7Oxy88w6xsdTWajTb22OkpxMTw/vvc999NDdTXk5kJI89xo9/\n7OuR+THKpwioqyM3Vy2SNdAuSlT78MMcOsSwYUyZQmgor7/O3r2+HpnBQKBdyU7J9gZMJtLSuO8+\nLWzwd4cHQu9XXuGtt6ipITGR4GDWr+fBB6ms9G2vVb+WFJRPkdXKvffS3KwWyX71T35sVzf4sV3K\nwSvl5axcybBhyDIhIQQF8bvfkZ7ux3Z1iy7t0ptkp6yTPvhATWcAPyjL8UDobbOxZg2BgdxwA9XV\nxMezaRPr15Oe7sPUBn+XFJS+U+3t7NunHiOrbEb4u11Xw4/tslj42c+orycsjNOnSUnh1CksFm6+\nGVn2Y7u6RZd26U2yU9T/yEguXOCBBzSd7e1JJEk9yzwvD6uV+nrOn+c73yE7exAY7y2UncgHHyQj\ng8pKre9EDl5kGbud//1f9u0jOhqTiaAg3nyTvDxE0fj8DxI0WhjrcHDgAEeOcPAgCQk0NABa/0x6\noMBNSSL8j/9g8WJ276a8nJgYtm/ngQeor/fV+Zg6KNxTwuuiIj77jNZWqqsBRNHv7eoSf/VXeDgn\nTvC3vwFs2sSoUSQnc/o0L7yAy4Ug+Ktd10KXdumtMFYJj1wuHnlEPRxW+0KrZ0Jvh4M//5mICIKC\niIujsJD4eI4d4+BBD1y8T+hAUuhozhsWRlkZgCSxb99pnw7KW/irvzIzmT8fk4n9+4mNBVi4kKVL\nsduVL7+/2nUtdGmXriQ7JTMqN5fjx3G5kGX9NVS8Osp20fDh3HsvQFAQbje1tXznO9hsvh6cv6Io\nwMuWsWgRxcXq/w77/+ydeWBU1d3+P9kXsk0SErKwDSSCgEoGoQhFgQF5a1GwBrSA1rca0br8tJWA\nVm2rVoN9baW+CFHrgkshWlDEF2RAqqBCmYAEERK4EkgYQpZLFrIvvz/udUTWZHJn7pL7+UusZe53\nvmfuvec5z3lOdLva12VyGosWMXcuhw9TVcWpU0ybxhdfEBurqcMqTbyN5lx27nyXw4cJD5cPh9X+\n9AgF3TIWCzYbe/cSHU1LC9u2ER3NnXeq9cs0hgvI7f8+eFA+RlYQjFDX2eiyX7m5bNzITTexcSMh\nIQwfjiDw8susWuX2Mumyrk5gyLqM47JzHw5bU8Pdd2v0cNhzotjUW9oku2QJGRmEhxMVxT/+wSOP\nyHGhPscYkoLk/x4/nlmz3P/GCHWdjf76JYpkZfHtt3z8MQMGUFxMayvjxvHii6cfDqu/ujqHIevy\nWLILVPY6uo/0Gpufz7Fj8mZYq1UfMyTFkH6f69bh50e/fuzaxRVXkJtLTAzZ2WpfnI6RnuZ1dXz6\nKfX1uFxh6GTybXxycnj8caZPp6qKsWMpLuaWWxAEBMHsUI/Cr6Ojw/ef6nA47Off5up0smYNzc3k\n5PjyorSE04kgYLczeTKhodTXExXFZ5+Rl4fNZv5Eu4PTyVtvER2NGvZSk7OQNHp/f/74R5qb2b6d\nhARmz2bPHl59VR/aiMlZXPgOfwG0JdlJexg3bWLnTuLiftjDqAuUnHrbbGRm8vDDZGXR1sbx45w6\nxcMPExzs+5+oYSQF9zGy0dFs2sSyZce1v9vaA3TWL4sFQaC9nZtuYt8+0tKIiCAmhldfPSPlSWd1\ndRpD1mUQl520h7GykiFD5MNhe+4exrw8nnuOiAj69SM5mYYGTpxgwgTTa+cx7mNkp08nIIBevTr0\nsjxpZKRDYN99l1df5dQpSku57jqKi8nLM/11PRANuewkH9Tq1WzeTHQ0oLMcTIXdMpmZ7N7NgQOM\nGEFHB1VVNDSwYAFZWT6OETKSC0gaY6KIxcJnnyWtWKGzMdYZdNYvm42HH2bQICoqaG3FZkMQuO++\ns19FdVZXpzFkXUZw2Uk+qMhI4uOZPl1+mdURyk+929p48klCQhgxgthYDh5k/nzfh/oZSVJwZ9Ck\np7NnT4M0DHUkC3cGPfVLOn/y0Ud5/XWCgkhIICyMF16Q10p/jJ7q6gqGrEv3Ljtp92ttLe+/T1SU\nLPfbbD1bUbHbefFFIiOJjaWsjDFjuO8+5s7Fbsfp7MFqZrdwf20nTjSlpYVJm75M1CEzk9tuY9Ag\nWlspLmbwYHr1Yt061c8AM1ELrUh27jTV0FB+/nNdpqkqP/UWRcaOZehQCgoYOxank/Bw/P154glf\n3kSNJylIx8j27x/z1lvuTbJqX5Ny6KZfgkB2Nn/7G//6F62tJCfT3s7ddxMScs5+6KauLmLIunQv\n2TkcrFjB1q2IIi6XLu8Ryk+9pazVHTtYvJj6elJTCQ7m889ZsoS8PJ8Jd8aTFKRjZAcNclksRETo\nIymx8+imX1YrV13F/PlceSWHDhEVxezZLFtGZuY537d0U1cXMWRd+nbZSSK+y0VBASNGkJQk34pN\nEEWys1mzhpQUQkLYsQOLhcceU8X/bRgkQRjw85NPSDKk/1vr5OQwYQIZGWzZQu/eNDbSpw+LF6t7\nHKWJuqizhnTGhE56HyosJDCQ8eN15mVw45WptxQjNGMGe/ZQXExcHOXl9O3LhAlkZ/tm57DxJAVJ\nH5aG4f/8D6DXIXdO9NEvQSAri4cf5vhxgoMRRX7zG9auJSXlfG5vfdTVdQxZl44lO+l11eHgo49I\nTJTjgvSIt6bemZnExrJtG5dcQk0NRUUEBDB3LgsXeuXjzsKQkoIgsGKFC6ioID+f1av1OurORh/9\nkn72115LWRnBwYwdy9atrFzJ+vXn+3/oo66uY8i6dOyyk15XnU46Orj+ekO9qyrGqlW88gpz5tCv\nH/7+vPIKL72EICCK5vflGVYr0GC18sUXuFzyLmwTH+F0YrWyfTsffkh0NPv3ExfHhAncdRfLl6t9\ncSZqov6JsZJ/weHgwAGuuUb2MuhxfcSLJz+OH09ODsnJHD3Krl1ceSVlZZSXc+utCIK3vyxDnmgJ\nCIJl3z7Ky/n8c/z9aW0FfQ68M9BBv5KTWbKEGTPYtInDh7nqKlwu/v53rFZcrvOdjKyDujzCkHXp\n+MRY6c20ulo+GVa/licvTr2dTux2fvELjh9nwgSOHJEl+JwcH9xBDSkpABaLIKXXjhxJQ4OOB94Z\naL1f0pZDu5077qChgVOn2LGD227jiSewWi+wn0HrdXmKIevSq8tOSlPdupX9+wkP11maqu+QEr7v\nvZfbb+fkSY4do7qaBx5g6lRE0fSHeYxkrktKYv16pBgh87v0OhYLe/awfTtXX83u3YSFMWgQLhdL\nlpjfvonKG2OlNNWqKiZOlGdI+t027123jMPBW2+RkUF0NGlplJYyZQrt7Sxf7u1JkiFdQIDVKleW\nlERwMIaJEdJ6v3Jzuf12amv55hsCAwkP58ormTGDvLwLT1G1XpenGLIuXbrs3GmqX34Jp+0O0Sne\nnXpLWaubNzNpEseO0dzMm2/y1FMsXOjtm6ghJQVAEAQpPnHePCZNorZWTlPUO1rvV2Ymd9xBUxP5\n+bS1ER/Pd98RG3vRr17rdXmKIevSpWR3eprqTTfpL03V17S1cfvtbN3K+PHU1XHoEFOm8Pzzal+W\nvpFE47Awdu7kvfdM0djLSGmqc+awahVxcYSH078/b77JqlVqX5mJJlDNZWexWLdtY9s23nqLsDCs\nVtkvFhbm+8tRBq+7ZaxWcnN58kn27KGwkLQ0jhzhrruwWtm373zepO5jSBcQ39eVnIzVSmsrokh6\nOv366Vg0ltB0v4YNY8UKjh+npIS9exk2jIEDOXGCe+656C9f03V1A0PWpT+XnTsuqL6eAQPgtKMB\ndIrXp96iSFYW69bhdJKWxjffcPw4+/Z5O2vVkJICp9UlZa0mJbFmjRGyVrXbL1EkJ4esLLZv59gx\nhg6lqopHHiEkpDPTUu3W1T0MWZf+JDvJZZuUxKhRTJliHNOtF5EOey4oYPlyIiJISCA5mXfe8XHW\nqvGQslYzMggMlP9oDkWvIIpMncr991NdTVkZbW3MmcOCBedLUzXpgajzQKqtTXc4eO893nmHyEhq\na40g3PvCLWOxkJPDa68RGUlCAlu2MHw4Dz/s1axVQ7qAOK0ut5smMZEtW3Sftardfi1fTns7sbFU\nVNC7N/37k5jY+TRV7dbVPQxZl85cdpGRhXY7ERGkpJCRwcyZRnhD8sXU2521OmkSoki/fuTnEx/P\nhAneO9PMkJICp9UlhVfZ7dx2Gx0dgP7O4jodjfZLEFi4kMWLOXiQujoaGxkxggMH2L37fGmqZ/0F\nmqyr2xiyLj1JdoLA3r19HA7ef5+4OB2nqaqDO2t12jTKyjh1ivJy5s5l0SK1r0zHSDsQRJG6OrZu\nNVTWqlaQ5qELFnD4ML16MWoUFRU8+SRtbWpfmYmGUOGBZLUyZYofEBzMlCnMnGkQt7fvpt4bN/LK\nKwgCGRk0NeFw8LvfUVXlpYNkDCkp8OO6pB0Idjs33EB1NZGROh6TWuyXlKZaXs5999GvHyUl1Ncz\ncSLZ2Z3/orVYlxIYsi49SXYOBxs3dmzcSF2d/Ef96vWn47upd1YWL77IyJGcOoUgEB/PBx/gcJCZ\n6Q1/mCElBc6qS9qQ1N7O/v1s3arjDUla7JfNxuOP4+dHeDhff83kyVRUcOoUCxd2fsRqsS4lMGRd\nejp+wm5n40aam7nhBh2/h6qJIDB2LFYrr7/O+PHU1FBQwBNPyJ5aE4+QVjGtVmpr5axVE2WQxLq/\n/505cwgOJimJ8nIWLWLnToYONcLqsYlyeGtjrCiKjY2NYWdtdnM62bePbds4cCB28GAaGhBF7+3p\n9Cm+2+Am7R+eO5e5c9mxg4MHsVr54AN+/Ws6OhRfjjfkxj3OVZc0Wa+qYt06wsIoL9flTm3N9Sss\njIMHefttAIeD2FgCAggN5c9/vsBhE2ejuboUwpB1aWtjbF5eXm5ubl5enuOspWEpTfXIkbZZs3Sf\npnoGPp16S1mrQ4YQH8/gwezezS9+QXu7N2QmQ0oKnKsuaShK6rd+s1Y116/cXG64gYgIysuJiaGu\njttuk9NUu/Lj11xdCtGdujQ7PrXlshMEITs7Oysry/njL0zyMjkcHDliqavTfZqqmrizVtPTqaig\npYVXX+Wf/8Ru95K1oScg+b+lrFWXS/6jSXeR0lQjI/nuO06cYOxYvviC2NhOur1NLoAxVt9Px7um\nBtuP34AkL5PNRkpKu/HSVH3tlpGyVouKSE6mtZXqanr1Yv58xWMGDOkC4jx1ubNW9++XY4Q0+xJ6\nPrTVL3ea6uuv09LCwIEcPszLL3uQpqqtupTD47q0PDI9dtn5ztQgHRQpUV5euHz5nri4uKiooiFD\nEq+55hpp3mq1WvX7D2589KFWa/Ty5XGvvXbygQfCDxwITkpqfO+9qkWLkq1W14oVDePG6bUuVftl\nsQgWC2CtqBADApotlkSLRRAErVyz/vpls1nz8sTvvgtrbg4tLm7o3//UlVfGv/iikJmJIOi4LlX7\ntW1bWFJS0tq1VSdP+kOMy+Xq27flmmv6qVvOli1bjh49mpSU5HK5tm7davdotuHXIe1NV5ScnJzs\n7OzT/+EM7rpr6/Ll4xX/XHURBMHqy5c4abq+bh1btnD4MP/5D8OHM28e+/axZImCn+PrunzF+eqS\nZOT8fD79lIkTycjAakVHX4CG+iWK5OaSlcWcORw5QkQE7e1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XtLZSXs6DD5KZeeGlD63X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\n2ITsxsfHY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