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@demacdolincoln
Created August 28, 2018 07:29
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a simple exemple ~> mandelbrot fractal
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{
"cells": [
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"%matplotlib inline \n",
"plt.rcParams[\"figure.figsize\"] = (10.0, 10.0) "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"def calc_fractal(C, max_iter):\n",
" Z = C\n",
" for i in range(max_iter):\n",
" if np.abs(Z) > 2.0:\n",
" return i\n",
" Z = Z**2 + C\n",
" return max_iter"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# configurações\n",
"\n",
"max_iter = 256\n",
"image_size_x = 600\n",
"image_size_y = 600\n",
"\n",
"min_x, min_y = -2.4 , -2\n",
"max_x, max_y = 1.6 , 2\n",
"\n",
"size = (image_size_x, image_size_y)\n",
"\n",
"array_image = np.zeros(size, dtype=np.float)\n",
"\n",
"amostras_x = np.linspace(min_x, max_x, image_size_x)\n",
"amostras_y = np.linspace(min_y, max_y, image_size_y)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"for x, value_x in enumerate(amostras_x):\n",
" for y, value_y in enumerate(amostras_y):\n",
" array_image[y, x] = calc_fractal(np.complex(value_x, value_y), max_iter)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7fa9ed115358>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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BcACpZz/2B9D0t28GOIKbxiUN28F1Ki8UegoNV1BsHboKrXL6vKQ5VBOVSM0681SAkmZpVYAqVwvlB6j+0PK8+25O44Y5OIe7Us9fpj+3XrN0Wm0UqHySZlCIkhqpgJJmadWI5OUCVDf5NVD+hMJp2LTK3XUKcrVQfYHlduGmeqmlI3utFKREoqY9LHGaUVBqt5FmiXp/rqT2p5I+UH3AwtBzp3PP2WyBRd6hstB73Qu4kNUFqVUwcyCwzEJNeuFRyKNoouq0kc1BTXvSSKqJkipoGANplqgv0fdrjoL8fbkrdFuLqyXqDbwu+PoULog8j5vzbhIXgq6A1BXAMCw1sM2Q2WY4znkw6vWPYiWMrYIZ/zU9ge0rJPw5hI+/WpoEg++1U6jsksZQiJIKqQCSZml0eIL8ABV+/uO4wNMTem2ZL+IBuHr6IbgbMocNmQ0GgE8C3D8NC3pgSQ+MHcAFr1XAksAySwWiYOiJ8ljsxDAlEh2FqERpVGGogkeapZEdyCuV9l7bD/PeRWW1GN1w3PLtd15H5nYz59HM0PlkThi4E1wN1CSwA3iywDYX2u7e6t5C1RSkRGqhvUnK0C4izdKsAFWqFioFnPR+vwzO7C3wvHDzWjeQhgFD5sG5AcqXPfoyLLG4PlJToUfD/XbCNWBp8qeNCT6/0mESyunE/lIi9VFNVGI04kxSAUqapVUByq/5SQPLyPVRmvJ+HyK/D1E3uavwFpG7Qm/SPbWEzJLzAIMLab5wM51/W4LrvO4vf5jcMAqNrDXqlBoplW0SDYUoEUmQagOUH1R8S7xbGtfkNllgOSOwetR7jv/6XtgDX7HfL7r2V9tbYCy4nSlcMCrUL+kk8GbveYuAcQrXXgWXFxUFKZFKKUQlgmqhJK6i6thcrC+RL7w/rwTeyey4Tlzt3T+Maxrza5z8pjP/1g2Mw56zgecM4VdDHbr4jUW34NZXfxrGJsm95zS56qvwFYJ+wHszuWa2cpfpRx2kOiFMqZyT+ihESQEqWKQZmhGeinkS17G7GxeoZnC1To8A5yA16K6mmx2N3L95TX+pHtjQBxsXw4Y+7KPnkcFw6Lk3zFlTdsySXWt500++CaNpWDuCH8Cutv+CC0qQF6IGRoFngO/iaqH8IRGaTUFKpBRjrW31NmDMay3c0urNiLEoCzoVKNIM9e6z1QSn4D4dXu+bgaOh+3qBlVxw6iVeur0fthzA9ZfqAg4A/TB/kMwpQ/boy15fp8qstlez7p274EGvJmu5gUOP4Zrv/JqmFG6sqscD95/1fgaDVLHaqUaFraR3OteAnJ3pzsestVfW+mqFqNiLKkApPEmjNTM4QeF9utgVef5jfs1TN7AMxmHd677OWXr49peugw3AOyh5FV6lxj4D5kMv4mqZ/G04jQtBC3Ed2yfcdjAJHPae4/fTCoYahanoKEx1lvpClJrzYq0TqtolGerZV2tpsqvmpCA4dMC0W9faERjoghVdXGXewxqzzg2eeWU0AQpg7EPwQ/tfcH2femDNYlyAG/JufhPed93jLKpyDY2a4FjljohPIUpQLZQ0Vq1furX2d6p3OyZh5144fgRO5de6ZPZFE6B8b/j154A0L85cAjcCDAK9sMbgAtRpXMh7HDfFzNkiSyp2DDcySCU1TKk8lMopRMWWmvEkDmrZT+sNT9Xs036TV7AJZwY3nMAiWN/YoJD5lIG18D9T02RuNmy3vwTre2DXAXLvYxoXnqZwoapajQpSoCAlnU4hqqOpoJBGquYLNjzJb63q2afDtStPwvYjZK+0ZG9uXN9Re36udutfzMNwChhfhgtzfhNjJf10WnU8J7VWSuWjlKcQFUtRFFgqIKRRqv1SjaqmpJ59OkX+yOHduOAyDEsgsyXaZrygsW+E7lgKDO0lf2TzSjW7WS8oiUFKpDR9k3Yk/dulUVoRnqD8Pl1su7pzjy9d5wLMdovrg9QFWHipcQEq6N6XnuPFoQH4FBRutgtfbVdsrrvwPHw+/702crwp/3NOyhV8xT5LEUc1USISgWpqn6LuMF7vSYH3+sOPwPYjuPnt+rzHniezvTkh6sXDA3D8LG6QzVJjW9Ur6s+/ENVKSWdQiIodFU7STloZniC6WtUucpP+Wu9nGgbSES2/vPMGfgoP9sCQP9TBQnKTHFf7Pit5fjPCVBKo5l6KU4jqOCoQJCqtDk+V7svltrMHWAL3LgYmYZ6BPWkgTeZ4c2qhAF7e/Cp4h4Vxf4DNQe82UuMSK/18GhWmknTCp3JTClOIipV6CqVqvnREiglOkltOq8MTVLad08CTcOsO4BjcCayeqmXj6vL1j11DhvNgbBCu7MENadAL7MX1yyn0WZb7X1TzeXUXudWjmv2l3akMlbkUokSkQnGpefJVur2hTtB3PAIcAZ4hS/Omxdpnvul+WQDsO4AbsTw8r18xjQwpUYWqJAQpkXwKUbFRby2USK2q7fcUlRS1n/1Xe7z44zGB6w+1EtfMV2yE8Oil7QfIpizcCi5AnQbGqfxKt3I1UlGpp8YqCUFK5ankKEQlng54qVWjOo2nKrzVqt7ANw3bDKTSuCDVHJPmc27KvJln6lhKqf9Zo8uCSkOVgpQkh0KUiIREMVhmI8JRJaKoMeuGDVOuT/faCDapQtnrLRy1sGExsIb82rHAtlWkVUEqqFSYUpCSZFCISjQd5FKtar/cgl+S1QSlriK3WlT7+kqCyDiMH4AhL9w0QeYB4008DLAzgiUW+0yaXS4UC1NJCFLS6fQtm1j610o1ap0o2FfLiOFpXE3LyTLPi1L4y7zQdj/P7NQvW4CHgAcau1WftU8xMTzMX39rI79hfrPAM4IjZ3dT3ajjhUY29993lKNxFxog1F+vf3VhpaOux4VGNO90qomKhWq/WBSgpFK11gCFA1SxmqViy+/GfXl2EW1n9FKq6afjfzFOw9bGbE3Qn/IHsAa2cDPFA1LwuK72MytVKxXFiO+FAlQ68Lv/uAb3lGQpG6KMMZcYY75ljPk3Y8y/GmN+27u/3xjziDHmiPfz1d79xhjzl8aYo8aYA8aYlY1+EyJSrXqazwoFqOBjiypYRh9uVO4l3s/eGrcluN5ytzD/i73Y53AOGIdtU2QHGtekl91p+SFvgC2Wx024tia8bdUEqW7c53p1aHlRhKlKmm79iZz9dSpISfJUUhM1A9xmrf15YDXwEWPMzwN3AI9aa4eBR72/AdYBw97tFuCTkW91R1EtlESp3oEPCwSo9RtxQShNbs653sBzw2GmN3R/H7XXSHV76/anRvFv4b+DgvcFP4tCn8tJ4BzsbmC/qBthzHwCN+lxoQBVKEiVCiTh0Pg8c0NquTBV65WTwWX2kf9/D4ftQq+JI5W5nazsf99a+xzwnPf7aWPMk7hTzXfjLiEB+BywC/iod//fWWstsMcYM98Yc7G3HBFpqii+oMqEm+1bcQGqn1zN1Ayuuc7/8rwO17kI3BhM43DlFTABzAzCia8E1lVJfx9/m1KBdUP/TA8n5y9yV9Vt30Guv03wc3gX8AjF+7KEA8okLJkky3FYm+brj1yTGxizDtkFFjYAmw949wT7PJ0ObXf4/7gO2IEbx6pQLV4wJKVwQzX4/Y9myH3GweXW0zep0H42iXsvQ7jxrs4xt28X3v3hPlRxo75RnaqqPlHGmCHgF3DzEKQDweg4riQDF7CeDbxsgsrq92UO1UJJraKaaqNYgCq0r03iam6myfB2XJGwityXfK+7rUgDQ7DPwvEJOLEjtMxKmql8Xd46p4BFLkC9BGw/ACwlvznJvx2Ah67FJa1ecrUrC3FhrC/wuuA2nYWdk7zT7OR7dnuZbSwue7Mlu9PCiUnYHBwTKtj85T6rAftfmPNZz18HTMKD68iFo6Au4J3e8xZ69y3C/T+GcfPy1TKFTDHF+rx14T7jY+TXNCa1nErq+5JSKg5Rxph5wFeAW621eRNLebVOVdV3G2NuMcbsM8bsa+aowMmlA1iinqesmua1SVyNwhQwQ5Y9wFXM1kakjLe8UdhvcWHlcVwNRVC5IFXoisCUt7weWAFshJV2ClcDkiZfL6wd4WO/dDts6cIFJr9/1hWwexXsXAX0YT+zGq6/glzQ8gfePMfD5t1udPEqnbEfc1f8rfVrXHqYDZd+s+aCVfh9y1axF7g2sA29cGoCFqRhwH/vhTryH4TlwIevAFbCghG4fxXuf3SszFZWsw+VGo9qEa728Sxuv6ikhlFNexIvFYUoY0wXLkD9vbX2q97dk8aYi73HL8Y1vIM7Qi8JvHyQAkettfY+a+2V1tormzkqsEgyRf3lUypAlfqimCFXI/V9Zmt2ZgDSMB8vUD2J+1INNisFOyD7tTLFOof7oWYZMAIrFpPBwB7Y+pn38bgZBg6Sa0JyAeSv7RZGH3mEv+NXueqmb7ttohuWX8EFp05iX2lgHnD9CJfc/BScggyvhzsW83n7EX5oV8DdPbAGPj9jGDsI2bWW7M3FA1V2pyV7uyW71nLPL9wJQ7DMHiTDAAylWWZ/Aixm1I4DI9z247tgzRXYm1/PP95wA0/aIdg4mvssGXQLHgMGrvXuDwfoKdh9AD41BfMMK3+8m8yNBhdsp8v8D33lrrgsts/5tVD+/6uLuQGq0n5VIu3NuEqkEk8wxuD6PJ201t4auP/PgBestR83xtwB9Ftrf98Y89+ATcDbcXX5f2mtvar0Ol5rXR90yammINHZT+dqxBdOuRqoQpezB18X7ETcD1wGqR74MLB5EheypsmFqHBfEr9/SbCGeibwmL/eLlz/Kq9W5vgUpPrgZlxY+7jFnduNB1477H5d2kfmsOGM/Rj3mI1uO2/vIXO3G+wym7JkZvyBLxsve6clc1dufVleJuOd42ZHLeyewn1ui9jDq7jQvo5lvzfuOktsO4J7j/5n1AuMAgdwn/8iwLiWtaXAg7iLInd+ierGm6qE36F/lAwDZHkCdw49GXhOsN+Tv83h7Yhr3yif+kfFx52Pucqc2lQSokaB7+BO61727v5DXL+oLwM/B/wIeK+19qQXujbjepKeBT5ord1Xeh0KUXMpREkxjT5TrydEBZuXUkCfa546YWG+gVOT5Jp2/C9Or3fA0LUwvhfXj+couc7p4S/UYGfrReTGm+rnYXsD3zW7edJu5cuv+YC7Zngc2PwYs7UjDw3z9HWGzwGL7I3c8qO/gdVdZI43LzRV409OvMj0gj7AfYaZU247x/4dzM89RX5TWRqWD3PB7pO8ND8FK/pcq+Z2N6ipCzYW2E1ukuOohEL0zetgywHcP+Bk6LnBQTihcJiLc5BSiIqPBoeoZlCIKqTSL0oFqM7RjGaOagIUzA1R/hAHV8OCHjgxEXhO2qtkssBRuH7YGwl8r/f4MtyX6UK42cAW/wq6YJAKD0ngBTUWwvzFsAu+frm7em4I+OBqC3tccOs6kWZ6fR+cgicOGb6Ka4rL7GzP8BSU3WJhG7AfMieCNVZP4z4jv5vqMMzrc4PR3AyMvkRmsJtP2x9y3JwhFziP4c5xg1fqlRLcL8LPL9RPzYVal+AOUrhPVDBIFdsGBSlptPpClL6B25IClPia2T+k3kEQu3EV0DuB03DCH5X8pHtsQxpOADsNsAgesDBquHDn63jxgueBc7ApDVfiAgBvhoEeOL6DudODhC7Nn78YbgW2wL7NbviBccBebzB7Xgb6mf54F5ndhivtWxlZBl89TCwCFEDm5mLbOYhdeD5jz0MWVyt1w+kHuNTclDf93nGzAFiAa+J7nvzPMjjUAAXu7wdGcLVX4JoLSwUE/3/TTa47rN/HrdA4WEkNGxr2oBNo2heRthW3ANXldRpf4t03g2su8vo/bZtyX+yHgDU9sM11BH/xAoP7Yp6GzWfhdu+lTMLxxwLrCHdoDgwJcGoCrofM5vywMXY7kDJkOB/OuPv2mW8ydrjOt9suVne5ADXP4mrk0i5AhaX64Po+uHM0cGdwCAco3Ik/uF/04Trz+1c0hgc0DTfzrsR1i53diNBye/HH9yq+/6mTubQ3Nee1HdVCdaZWfVlUE54K7XPBWocU7sqxcP+XXiANe4bhZrjl4F9wsZm9RoXsdktmvWHsj2Hs/3b3fcd+nW+a/4prBjqVjJikAAAgAElEQVSGP3QC9MK2Ud7xvv+XBy/+P/nhcxfzBvPP5K7WS/M6e5iNZlkV7ytZspvsnDCZ3W1dRdIdu5nbmT/YXDrD3DDkj1vljw6/GPf/2EvpmpZFbmiFE7sD96XJcKk3BMY07n/r7y+lmhXVrCeNoj5RCVPJl6kCVDK0+iy72tqnUiEquLzgfHpebcfaa11T3iHgAcisd1/yE/avGDS/mbfE7E7rnnc7fHb6/dxk7mC2z8/9o3An8A74282GDy6wcGKKbVzIhuUWO2N4xa4z/NHAvCrfW7KMfQLGPpr7O8uzzE5hA8w2NaVWwUxwZPdwk2mw1m8JzFsMZ54JLOsc+X3hglfhpSE14mUIrx8ceD+D/bH8bUpqiAIFqXamEJUw5b5YFaDir9XhCWprvivVqTy43PAwBH4txiDQDwu68jpHl5IdsHAjcPdjuC+ibtbZo+y47FfIHMofjuD79itcZd5T7ZtKNL8XUpYXcUHniLtn3ghsgRc/YLjwP20oSPm8ADzvWjjzGDACd3S5f+9dB3D/1+fdc+6/wv2fAFdD5TcJDnvr9K8E9Gu9glcFdkKIAgWpdlVfiFKfqLbSDl+u0jhRjiZejygCVCn+l0X4i28KBrrY+uP3Vb6oE8DdU+QGb0yzw7yZLxxcP/sUfzwnBai5ZmPJkj43GOmGYVg7AneCPW648AYL94MbViLY58wbXyp1LXwc9/dYFy/edT7cBW6Q0sXAZe75N064eQCZJDcZ9RBwBDYNMzs+FzC3KVEkvhSiYkW1UPET9VQs9aq3A3k5odqE+evg5lFmOyKvhmfMlytemj1oYLXfibkX7khDKs3737md/2aXR7jdyZY56oLmB774SdgImTsMY7fiBuC8FwrWAs0fcRdbbrIwthjuhv+ZmnYd/9emYS0M2mPAErh3kMw2A0NpmDcM69O48uokbPbH/lpC+xwHItFQc15bUVNecrTrl0WtIapcf6jwOgKDbq5eB3v80cPTrkakQtnrLTzgDZOwJ01mdTyGJIiLD9sLudj8My5E+c1s/lV0fbzOns9v8P/w0d/7q9nR3IOy6y3sYnYA0Nn7eRk37U/gggCGcUMsBNc1TekBN4PiXmul5rz2pOa8DqEAFQ/tVOsUlWoClC/3hXHj9z4DGEil3Xy01ZidZHehAlQDXGx+ghvkdBVsGCXXf60PVozwo96lnDWbCwYogMx2Q9fRvPnoWWRvZG5AOo0buWsE1wQ4GP2baXsqw5NIIaptJO2Lt9PEITw1uikvrAtYwv1dH4Lrge2Qua66IPTUZgOY2XnkJFoZzsO+9nwG7RE38fJs37N+WA+ZM+X/X3+44MK8v2/Z+3k3LlXKH5PK70w+CTyOG9agUKBo9v4pUj+VTCJ1iUt4akYzXqHXTbppXh6YhH2QHbN8we6veO2XLrdVNf9J9cb+N9xkLoUt0/iDl553/NVumpkqZDdbskOWZaseh5mJwBV/wcmmp3BDHByk+ua5dj/OKqHaqKTRf1SkanEqzKM+u6/mvfv9Xs4BkzB2FhjiyAWXV7wEfxgDabwM53vjSU3z8sB/Vh1e3/uRz/HlEx/gSdNLbrqXYFAq1OdJ/YQk3lQT1RbUobz9tdtVduXUU/sEc6fxgPLvPbxOvxbi27imnBnYZGCem6Yku7P1F7VIvs9zCb9v/47c4JmVW2Y2ct6Hf0puOIPgoKthtXYSj8vxV4rK8yRRiGp7OuBaJ27BydeIviWVBChfoX12BpiEzQdg0xHYBFznpigZu809Y6zykQ+kQY4C3WYM5tf2+pcHeoAJ3P6wityAm8FaqLhfZRcFletJoSEO2kKpLygdbM0Xt9AUFEWAqqYGqtD6Cs29FpgseLbGqg93NViP+j21oexhS2Zp9f8XNzq614TLZbhLMoPTwQRDVKHmvKQPdeBTU2Z70BAHMacA1T7iWOsU1OwaqPD6wk2AlXye3d4wBtJuaglQAKztg9vTuJHLv87svIdAcgJQFFS+J4H+iyKxDk6+qAJUOAQVW1c3pb8QgwFqKW6gTYBFMDYIY5O8YIe46BfOkdmvWqgkyM6zbpiET1lYchA3/lQXbrLiKHWhMCbtQiGqbelf0xwKUDmVBqgUrpYB4M242oYwf+LhLuAi/Aln5515JbfNM2QHLBf9vQJUUmQ3Wdg8CWcmYckkbj/5GmqyKieFPqN4U3OedKi4N935GhGgyq2rC9efaRFuao/gZxn8vQ8eXAV39PGw/QjQz5nrXgNA5rghc6MCVNxl11qyd1re9FffhA1p3IjkM7japxnK928qRINuSnyoukM6TBKCE0T7RVOqI3n4qrse7/dzkBqBmWOBx7vyn7t6hMw7DNmJc3zX7Ialg9z0nc2oD3l8ZYcs8w79mKdf9XoWXnaaGx/5DPd/6EN8z1wIPIZrtvWHthBJPl2d13KFvtSVbaOXlPAEjQ1QkH8F3RBu4MRp7/51wF5YvgoOPeM95tc2+M0SqdnXv8m+yNvMNRFur7Sau/ruBXLz4/mjkc+QH6AK1UQVCledfIWeT016rVPf1Xn6tpaEU3gqrNihH2iK4zLcl1Wvd9+bAQssgsPgCv7gcAUnyf9y6+J7w2/lbRFutbSBVJ/3nX+aXFCKOgR0U1tToEhzqU9US6kWqjHCg2R2R3RrhajXX2gkcl9wf5wC9uLSUheu/5PhcrsX5g+6+fDuH8b1gVkJQ8OwepX7nTTQBwtG4MPwX+2bItp2aQeZGQOjfWS4HHeBQT/u/+4rdeISVZmXpJMjULkfXwpRbUUHUn0KdRaPMvw0M1BFvZ5S4QmKfyktAvphz2LA8sQvr4YLYJP9M+zHDaS6YIOB6+Er33s7XNnjAhX9PPzjX2TXbav4Z/O9CN+HtIPMbkN2vwX6+Ir9I9ieJn+alyhCTqd1MFf5H0cKUZIQhQpt/3L84C0qjailakRIq+R9F/rszrn7R0eAYVh9wN29HDg+zebX/D5jh4DbIbPNkLnbcMDsILPPwBmAft72r9/hW+b7kb0TaS+ZFQb7twP8Hb8K+yA3355/MlNsX1YNvCSHOpa3VLgwUUFSvWLhKfiz0s6sUSvVp6ORZ9nV7EelagzclCzOQuAK4Cwww+ft/+Co+UrRV2axfM+u4CHzRBXbInHUBdyJxV2ddw6GRmF8L+6ihN34Y4TNVW8n86R1Lgd1MG8FTfsSUwpQ9Sk2zpMfTvzPcxH5faS6Qo83UjP7VzWitm0GF5oABmE9uClqx/lV80Dply5HAapD3LnRcov9C1xNVB+MPwMDq4Aj3jOK7e+FjuFOLwc7/f3Hj0KUJEi4sJ4ucn9wUtw4qzc4VTov3jQwBdv34moFLiu7yswhDQbVKTJbDfd1/TawBDaPMO/MPDgBbBmlsr5RClISX9pbJWZKTUdSyBTuDHkZLgCMk2se6PMej0MVetSHajUdf6dxNVD+dhyEoZHcXdLxMjNeaN7kbtn1Fm6eDDyj3JAFwf0x3Eyn4Q6kfakmqi0oy1amlit+TuOapMZxhbM/71ua2c7TDWkKq0a483uhW5Rq+RyDAyhexuCRI2R3tr4/pbSp7RZ3zEFu/y3XjL0SNxZZEmqJpVMoREkMlJvnrlzhfBoXmE4Co5B6V4Hl+yoJNFHfmqmSAFWo+TPou0xcPMwXrllPdosLUj+zf8TYD6LYPom7z9tDMN/gjjdfuSDVjetDNY4LUwpSEg/aS1si/KUthdXyhV/KNDAJM4+T6zAdXFejrvYp9D7idmVR8D2cg+N7eb/5c2CKLBbeAufv+liLtk3aydNmAXAgcI9/bKXIjXIPuSa6wDE8cC0cL37VZ75GHrOt5H9OEgeqiZI2VK7myVdNgDoHpGHJCG46k54Cr690veUUuhqwGzfvXL/3e/g5jR6Budp1pIAlQB9sfhduiAO/5sy7wvDji8lwIRkMmV3qSC5OhgHOnbkcN0SGv9/1AMPAGlz/xG7v8V7cPtUH/IrrkM4Ibt8DnWRKu1OIkjYTVZgIn8l1A6fh6FncpLnltqERoeZx3Ng5pS75jlq178UfoLQLmIHV18KmSe9v7xJ2umH7CKyF7Fr1i5J8Ywfhra96FLfP+CHJn3+xF3cMrGF231z9HmApYGDmEVyT3lGSN7VLNRQe40L/KWkj1X7ZV2sa10/jJHOb84ptTzXNBaWuHEwxO1QAafL7ixRaRhTNFNV+CQUDlPf7KWAgDccnyfvMz0DmStU+yVxjl8H/2ngNhn1ANxwedRkJYAzYD2w/y+z+uecRXO3UJO7kZ6rZmyxSM9VENV0nn10V0+jmrGA4GA+s03+slEq2rdRzer119ODCUxrXnBjFehv12m5gGWy4ArbD8HNPAP2wbQRXi5CGGydLLUQ6nFlvgX4YG4ELpmE+MAZXZx6C7ZO4mia/dqobd1KRJpl9nCTJFKKkxRodKv0QkyY3tEEtCvVhquSqwVHcWfbV5ILTzirXW+021sIPmith/bWwYNDNh7YGjpjLgUH4FDBxPhP252FBrZ+jdILMegPrF5MZM2SGzidzypAZM7yS/4B9/snEKG5GgVVkuBw3RYx/VV5vaImdNhkxqKEoHhSiWqrTD5JGBii/5qkPV2Cfxp3tngs8Vun4NbXwl7mXXO2XfwYefk45pQJcFB3Tg9txELYDK+CFI91wP7AJbNZgf8+QGexmsuYgKp3E/mxuc++bzHqvGTjtHX4jwLgbnJNuXKhKU7rvoEj70ATETafhDZx6A1S5AtYPSpA7q+0hN5HuAXIDcAY7oRcaGbm7zOOltq8Plq+DQwfI9fmYDq231aMxB+cb7AJWQmoQrgf2Qebo3C/D79uvcJV5TxO3UZIo+3ELd0zj9rsJ3EUfJ3HH6UHKHydJb/7TUAeNpwmIJVaacTl/2Ay5yXSfxwUo/4qz8IjlxSYL7mf2yrSyAS4YShbBoWdCrwtPgtzKM+5C6x6EmQk+8cXfhKPTBa/AU4CSSIwDnIQVwLxBSK3CHacHW7lVIhXr5KqQFuvEj75VnerPMbc2yZ+Pyz8L9n/2Be73+Z2tT5I/YGAlNUjHcE0U/tx9w7gz7udD6w4PQAhzA07UNVbFwtsOoJePmt+C27vc5opE6LfsBVz02XPwEMAE7O/GndyM4I7B0yS/lqkSGniz3XXiN3kLdfKVeVG+90qa8iAXUsAFkH5mRy2nC+avg1MTuHDU7zpTn5jGjeeUwgUdAq9fhuvT5A+P0EvhAs5fvx+Qjnnr9INXP65Jca933yS54BbuUNvjLW/IW3fw8u96QlX4MyxUFJyEuw8AvWT5KRleVcf6RHIuMpO4aV4mccffStw++VXvGcG5GkXal5rzpAmaGR5LnRf4Hcu9PkmndgBP4kLOOJx4DFeo9+MK9X5vedeRm7AYXLDxR2H2m/iKzYXnv/eZwOv9nwth44i3nnAzp//3dbhJWYcKvL9amwHLDfbZDwOjgeddxJvsHtd/RaRKX7D7Z3/PYtlld8A874KPDaO44/HL5JrwVAOVT3Ud7UwhqiU65aBoRf+nSviB5iy5QONfvTcNDJPhPOAqXHg6iBvbyb+yD6AbNq4jV3MUfp8l3veCEe+XxbDVG0+HReSCmf/aLlzt00FgV2AB9QSpQs8PLq8LVqwKDK7Zy6Cd5G3mGv7go39c5bpE4IhZTJanyfI0XA/fNq+BM8BAH2z7GrkJwkXiRyFKGqRR4alUaKgknAYL6+CVcv7fz8OVkOVncKWBeSO4IGXIdTzvdfdtfcxbXjD0FBt2wH8tcOKAW+d8IGWAxeQmaA0uJxV4LYHHwvdVGqRKPS+wzk1wm/0MbB+GnYuZMEvIvsNyvtEEw1K9P7EZXFB6Hh54xP1khzfRcDg8BWuh1JQn7U8hShqgHWufggoV3H5/pH7YNwE8CfuegTNTMD8NWFwTXx+z7y91RWAZpcZsSuGCWLdb/sAIK+1e+DCwAFwT4iAsuZb84NSN64i+0nt9irnBLHiFX6GQFL7KMCwQ3DatA0ZgG9zzy3e6MUFfAlYYMg9qihepzR/e8+dssg+RP1yBmuwkGTROVNMUqkFIokYHqHJhIKzciOL+a/3wE2ye88PHEthk3MCTpyaAc3DHMHwc3BVF58ifC28pcwbVnDcKZ56B1GKGp5/gyGcvJ3Oz4U9OvMj0gl5XIzXj12ydy72OPrdNqcXu8ZuvgC07yK9Bg9rO2sM1X4tgwwhs8EacFolINmVhZi/uwgh/uJFgP0FfqX26E8eJClLNXGNonChpG+0WoGrh98/wC2dvdO5BvFqjRUCfC1BDBPo3+bVCvd4y/A7nXs3VmQNAD8zAU1tWkLnZhZQ/XHAh3Gn42PTt5IJbH3k1XvRwwYmTbiO2+esK13wFO7eXU+x5U9jXG9gN2dHWn1xJgsxM42pUh2DNuhZvjEh0FKIkIu3ehFdIuc6saVjQB0sMmTsMXXumXD+ptWlYjQtWJybJNfN14z6HIVi9ClKjuE7jfvibhjEwj+YHlBs+9jf8kbnbe94gLqjlD/j50vx+t17w1gW58LSG/GbEVJlbUPD/dhrzJ9+Bu5/hD77zx2THLGes+kFJ/TKcz/O2H7YMw67gwGOV9udTx3NpTwpREoFWBqhGNI/6YWjShaRTkN1i+cMFF5LZZ8jsNGT2GFcbNT+Na8rzA08KmHIjMd8LbB3GBSlvGIMxXGtfwKXmJu9teOHo7kHv+b3AMMvsUbge3vvI52CJv3293m0t+WNHVTthcSEz/Kn5CNwF9/zTnVUsT6S408xzTeIcJJ4nXSJzKURJTJS7NL8e4QI97WqS8GabX8Fs81tQZtTw02lDrrYpTS4wQWaTgUMAg7BzkNmmwV35yxl7J7AfnrdLgDSZ2w2H7NVADwzBe80VZB4wfO3Fd8J+ixv006+FMvCOwdD7qOQLqtBzUsyOGL02TWbGkLlOfaOkflle5g3mn2HX7sC9haY9UriSeFHH8qYJXrKeFM0s8CoZYbuQctvYDVwFGxfD1t242iCvn9MA3HfccKzMErIDFo6748hech7mNsttv30X88wfVbiNxY09CmPXBNaFhQeBd3gd3GfDWwp3OV2w82klnW79z+dq9/vmLhf+RCLkOpb7F2Gk3JWtM/4FEuD2w3XAVgqPVl6sOa+TOpaDOpc3gjqWS0u0MkBFudwUcBS2Tnh9mMBNRzEBM3DL8tInGc/be+AErt8U5/HYs5C51UQSoCAXoPrsr/N7L50HG4FbgTWDsGkY14eqC5YbZq/koxcG1lF+sNPgYwdhXpd7LyJRuwAgDUu9Gt5R4MrgPtoLPNK67ROpkUJUUyStijoJ7ycYzGaAgzCzm9xwBSddoLg31427kE/+5u/C9ZA56mpvvt6grZ0yn+TPLniZzFZD5qghs8vAp3DDEWBgOUA33DEKrHR9zWcVGgQ0/D+chjOPwdgzZDe0vnZaEuYC+KFdQeawIcMlsBvYZ3EnMetwtalDrdxCkZqoOa8pkjRGVLMDVL19ocLbG1xeeJwk/z7vSrv5I3AKGJ8mM3R+FetsviwvA+OwYTE8gDfm1Ekqr/7vBbphwRVkTqg5Txpr7K1gvvkz4ACsvQJ27sBdIBEcXkTNeYWpSS9aas6LCQWo6jUjQBV63jSwDE5NApO87XXfaP/amS0GuAi2TXllrD9CeqXjRnUBaewThk+ceqFx2ykCXPTwBMP234B+2PmYd29wX1VQkHhQiJIKtUMTXq1BNDztSbnldOFGIp8EpnnYXAu7ILvekt3WnmFq9KZHgD6Y1+daRUYHyb3v3lIvdc/ZtIo32afg0/DSmZ4Gb610ut9MDZLmedi2mP32Bm/KIe13Ej9qzmuKuF+Z14oAVevVeD5/m8stJ9iUF57ypRe/hoZUF5mZ9m7mOmM/NtuhPbvWws5nvOliwHVCOUf+GX7wEvNFfNn+Fu+97OtkDrX3+5T4yS6ws83E2Y0Wtk7ihgI5CQvScGIH/kmLU0lTHqg5T+pXX3NenL/ZpSniFqDC29tP6UlPu73H/UmC/QLbG9NpYxr2QOZw+weLvCsCdwKkYR5w6kDgWeHP0v+sT/Lev/g6HGr9SZUkz/Yf/xLrzbOwdBD2A1vTsHG3m1PyhN8fSiR+1Jwnbaae8aAKBb5zuCHCeyl8hdqIt45uXEHez6P2w3B/GualYX88AlTQ2DHoOjGFXf4qd2l5aoS5TZoE/nafReZWN0yDSNTe/cWHgZNweDfsfwQ27nB/n/kKrgYq2KFcJD5UYkoJre4HVSpAlbpc3xcICUOj5PcN8ueRmyDXCdst65rP/S8yNxoyZwyZ/fEKUABji9zExt27XyBz3LB1+n24eQBHyZ+Tz5fCPn15S7ZVOoN5v2V26iNmgLO40FSoaUrNVaWpAamdKEQ1XFz7QzV7MM3gF7tfM1RsfKNqtm0aeBzGd3h/9wNLYOhauPJa2HAFMMLTXAkLRoCF2KXxC06FfHT+RQBsvOxLfMze65r25nyu7m/z+mfJLrHtfxWixNQUs+Ov5fV78pvPi9VCaeJhaW9x/HaXhmtWgCo2hEEU6w8vexo4zewuP34AxkfgJWAnLL4M2AHcbhhbHcHq20jmkMH1ib+bYp/t6+wZfodf4yfmvmZumnQMv89ToaFFgkFJtVASL6qJkpBGB6hCzUm+3HhFs4M/RiJ4ljvj/d3rukodsmTWGsbSkNlo4PqIVtmOFkDhGj74kXk1t1786ZZtmiRXdoVl2L4ALIHUtd69Xbha4T7UF0riTCFKAhoVoEoFJ8j1T/Kdxc0J588F19+A7TkNh4/AxH/kPZL5VDKa8gpxl5gvoVAHc7trgMzx5L53aZ3MfsP7zQoe4FVwJ8BCYBHuZKnUsa2mPGl/ClHiiSpAdRe4lVKoen8GV/2/CDdy5HSFywpuQ3jZQSdxBfQ52H0Bn7Y/rHC5CTBqyPU5828pzJqXW7pZknwHgXsyv4ELTyPAUeDJwDPUlCfxoxAl1B6gqg1MQeHapzAv5MzpSF5uPcUCVJH5CzdMcLzr9WW2NTlu/M5nYM1icp+/a0IdtEdbu2GSWE/ZzwIwdjfc9ut/zS3WH9Yg6hpmkeZTiGq4du+7X2mAqicwBRULT+Ht8K9qnPJ+7yuyPYX+Lheg+nA1XCPusST3gwq5P/shXvOtf8dNsZHrFzXxy8Ot3TBJrC+at/DfAXP7s3AU7jO/hRtaZDzwLNVCSTwpRHW0cgGq3sAUVk2gnAaex1X9LwpsTziEdQfu938Pvi8/KPQCa3Fnv97z1gCkue2Ld1X5PuIrM2b48Zt+jvzBR7tZ+Q+7W7thkkj/HWDzYi7lYeAg7Pwa8FVcU576PEn8KUR1rFIBKsrg5Cs3cGaYP4Kx38yUCj032BzlB6eh0DKDTYHnvGX1wZUjsL+P5d/6ARlM/nQpHSCzx8CmHoIB9J3mF1u8VZJEl/JT2LSX3FWx/gCbGh9KkkEhqiOFQ0sUzXSFBINONc4Ffk4Dx3A1UmnctgebooK/j5AbFTkYoPz1TwInYd8RWDEJQHZTZw4umdlsyF392M3YW1u8QZJIGV4FW1cBC2H5uygcoNSUJ/HV7h12JFKFwlMj1DNhcJhf0B7DBaRFuEL4ZIF1HiF/hPgZ8rfFH6E7hd0zgHlNbmb5jjQPOOPe/8WP/pBfM29o7fZIMm2chrVXwM4pVMMkSaOaqI5RzRVu9WhkLvcD1Urya7n8Jj1wTXp+vyd/wM5uXK1LClaPwNBi2AxPdHKAAgZPH5n9+BSgJGr/af+ALE9jf3A+7DwCPBJ4VANsSjIoRLWVKOaKK7ZMX6PCE0QfoPzl+QWudxY75F+t109u1OM+eMcwueY8PzgFO5p3wZ4jMH4Ws9vy1Yi3Nm5uMpe62qj5rd4SSaK7zNuBw5g3/iPwOG7aJZFkUXNey1UakEo9L3hWV+x57RieqgmHi3B9nvzVXYW7em8K11dqEnbBecd/xstLR+DUEVyImvR++s0I3rYqODgLcK2eJ1q9IZI8wYs6gs144WmYROJLNVEtU28NU6Flleow3m55uZr33oXrE/UI8BhcAPfaD8P8NG4akz4YGoYzlpeXv4rX/eQwpIZ53i7B1UwNk/sceuChHjL7O7spz3fBvpOuNkokItk13sUaA6twgalYgCpG/aYkPhSimq7e8FRo0MvwzZ9vLhygwv2I6g1WtS6jkvGpgkMaBJ8/A4cOcKv5NKwAbjYstz+AU8CAgQdho1kGV8LCe07D0CBgyTXtAdfVsMkJtfjCcW9iYpGIzECWJ+A4KBBJ0ilENVUU06uUkpvGo3K1Bqpaw1OlAapQ7Vr++7/qW98ms8XwHnMV9i5D5rghs9rVMGX2GDK3G773zAqW2X+B/Wlyl/SL773mChho9VZIouw+4P3yJUrXQqkpT+JPIaqhwiNnV6uaq+jCoSb42krXXUktVfixUp3hC3WOL1eLlsKN/TQU2u4U8GaCn8f3P3j17O9jmwpv7UPmCd5rruCGy/8GBrzaKNW85Bts9QZIUmTXWi44NQgsQ7VQ0gkUopqi2gBVbXgqFHjOkT+Cdy0KNf/Vc9VguRq1cC1af2C93bgrfEZgwQisAPu/K+/XdKm5Ce4E5pn26x7WakOt3gBJgizPws7dvDR/L8y59lVDGkRLhVi70H+ioaptWqvmCrpi/zr/8n5wA1L24qrNu8mNAF5t+PGbwOq5RDn43hZ521Zo6gd/2/yr6tbgJis9jQtVk3BiIZkT5zFW5RZkNrnQlV1rYXuVL06wZR95HIrU5ImUM/bbYBZbuPVr5M82IJJ8qolqG37IqKR/UqnHw0Gsh1ynan/S2WqlccML1DNMQvB9+aONh2u1egq8ZhJY7Lbh44Nwdxqo88q6FfW9PGk28ret3gSJqeyAxfzFN7wAFRrPrST1h5JkKBuijDEXGGO+b4x5whjzr8aYrHf/YmPMXmPMUWPMl4wx53v3v9L7+6j3+FBj30IclJubrpe54Sg4JS0AACAASURBVKlQ36TgZLvFbn5g6nfLHVhHbgBKv0aqmu3uxdUCHfXWHxwFPHg1YLmrBSG/CdBvqvPv95+XwtVU9XmPnYPlwNI0HIbX3XbYjWpQhwvvOF7fAhLmrNnc6k2QGMryMhzfQf7EwoWoKU+Sq5LmvP8A3mqtPWOM6QJ2G2N2AL8L/Lm1dpsx5lPATcAnvZ8/sdYuMcZsAD4BvK9B2x8DwdDif9zB5rF+7/dwQRPulO43x1WyrjTQjf3lyxn7B3dPlie8x6ZCyyq0fTOhv/3fu7ztTIWe0wOcLfK6PuYWrn243sxd3vacY3Zaltl1eHPkrR2GfcBdXnPcVthld9RVGXXrBRfX/mKRDpfF4sZse4hcgPKpGU86S9maKOuc8f70qxIs8FbgAe/+zwHrvd/f7f2N9/g1xpgOHdnQDwYwZ/oRusgFqOB9feT3awo28/l/d+Pmj/Nrb/xbN7AQWEaGXIByRkKvX0SuNigwEOVsTVaf93cPcBmP2oz3/J7A8/znpArc59+C41b5t0WuWW7+CO6Ku2Xe/YPe89OQGoT5w7Af7J+Z2f5MAGvMugKftYg0WpancAEqfGKk5jnpTBX1iTLGvMIYsx83z8YjwA+BU9Za/8iZwH0r4/18FsB7/EXgogLLvMUYs88Ys8/VYoiIiIjER0VX51lr/xNYYYyZD/wDsLTeFVtr7wPuAzDmtbbe5bWnKfL69syZULdQc164Wc+vHp8J/f14gfV143LuDFmeyGvOA38APP/1JwOv8Zftr3smtL0HucZkvdcEnwPlm/OCTX8Bt3fhOo0Hm/OmvOdOuh+nXHOe+T0Lm3NX1+2yO1QbJdICGS4NNOcFj+six7lIwlU1xIG19pQx5lvAm4D5xpiUV9s0iJvcDO/nJcCEMSYFXAi8EOE2x8w5ck1y4SAEuWEIwsKTdPqhptTVdX4YmQS6Mf/wHRgYheN7cf+WqQLrL9WHITj9ygxzA5T/+9kC9/lOkt+B3O8HNeE95j832Fcr7W1vCnYegeXDsBmyGy2v+9vD/Gh4KWtKbHU59770nPpFidQo43VIzPIyrl8U5MqGSvpuiiRHJVfnvcargcIY0w1cCzwJfAu43nvaB4B/9H7/mvc33uPftNYmtKapUudCt7DTuDARDiKF7vPHeip282t2TrrlHt9BrgYpVWT9pbb7NC7kLfHWf7rA+yl0X/hxyO+EGgxQ04HnzZAf+LrhEHB4EpbCj+5Z6i4UrMOLH9c8J0E9VoNESfUynOdd/eufHJUau04kmSrpE3Ux8C1jzAHgB8Aj1toHgY8Cv2uMOYrr8/RZ7/mfBS7y7v9d4I7oNzuJgs125arFSz0eDklnyQWr09R2ufEkrjmwnjPM4PsKNmEGb+G+cTO4Wqln3DbcMQG3T+Kua6jD/vpenjRb+WCrN0FiKnPcYH/77XDvu8if2qkcjfMsyWDaoZLI9Ym6pdWb0QD+2Vkt06NUqlBh5K9vGa7SEKIbq6Wes8rgOFmFAllwWhlviINgjRTdwBVu7rtBsAsNYw9XvvbsZusi/TxX+IuT3Wzzrn4UqUWWZ4Fx3Mmaf+LmK1T+FDsZrOZkrZPHoFIftGjc+Zi19spaX60Ry5ui2gO9WLNfIcVqrrpxBVo9ZgrcwrVH1SjVpOmvL7hMv8nPb8ZcCRyAEwdgP1RzPcJT9rNwF3DGquwJG2/1BkgSZLgE1o5ywalVwK+EHlWTXrRUiLULhaiGmi7ye6WqDVPFXlvpusOBqdRzfKX6ZxUKXKX6Tp0j11F9PLTdM8B3CX4eV/3tt2d/Hysy6PZ19nK+bB/ji0/8DzjunR2fKPLWOtVEqzdAkiKz0/DS/AlcDXg900SJxIMappuqlsl/IT9IlSqYguGm0vXUekYzQ/W7jx+Kyl1hGH6PXYHHcq/9/luu5vs3W5Z/5gdkX/1GGAC2Q2a1IbvawvWQXQyMW1y/Lv/zD8/R17m+bB+Dt7R6KyRRRkdg9wHcRBVfIld++bMR+DQsgsSfaqKarpZmsKByNTl+B/KT5NfuQOHmuXrUuoxy7z+4zeHPKwXLR7jX/prrIL7Fcsi8EeYDxy28A7baJ2EfPH9bL4xP4OaICfTReAjxPPPikGrmJFopyHC5O6lRbZQknEJUy9Qbpgotq9BAneEg1S6qee/+XHrXAlfAS3Cr+RScmsSNdzAF40dgnuG8Qz/lR69eCjNHWGiO4sLkEXKfw1m47izZFa2/oKIdvHRlP5wp/zyRSmV2eRcpHN9L/hRWUFkNuYKXxIea81ouGCZKFTCVho5iExkXmnA4KoVGKq9ENc2bx3BNcmmYGQG+H1jfSaAb1sDLA+fjhmPwx57yf0Le6OynqtzUpDqBSgFpkOAAnFC4WU9NehJvqolqK+U6ZdezTF8jRxOOujD0lxcaf2bcH1T0pHebcrcHj5AbWNQfHsEPUrifq4dhqAc7auZcP9RpPmufcrVQCpTSAHfabwBLsT94N+7K2kIzM4jEm0JUxwgHqUaFqUaeVfph6nHm9u3y3884uf5gwZHUvXn59hyA8WdgE1y+oLOb9CZ6h2c/vk/bH7Z6cyRhXmH+lAyvx7zxZ7B2GNcc79OQB5IMClEdpVCtVCPCVDUdzsvVsgUH3wTXrOfXNoWHQBj27guuPzwcg+sfZlYfZ/mPf0B2UwcHqTPgRn+3PHfNG1q8MZJYW7tg52OwvA/1d5KkUYjqSKU6oEcZqmq9CrA78NMPUJPkhik4S/5UMf7vB8gPWOEJk9NAP1w5DPvTAGQ2d+ZI3S48TuHX1o19s8UbJImU5aewcS/wPBz6Gq4PlH98+7VR6pQn8aUQ1bFK1QA1ooaqVJAqtC1+gFoSen0wGAWb8qbJH3o7HKS6vWVNwb4DsGKKQ295I1ksZ+zHqnwv8ZZdbWHzWYJXbn7dfqfFWyVJ9BSvgs2ryJ/SqVCQClONlcSDQlRHq2S8pigDVTU1Ul3AQlzt07HA9oRrtoJDOPi/h0eKn8bVuOwkb/ysXQCT3HPDnVW+j/jKjlle871/JzcZtWvifPyXR1u7YZJIfw+w6Rme4m3AZbD2XbgpYZagoCRJoBDVcO1++W6lV/4VGtSzFsWa98Lb4fdt6vN+nwo9Ht6G4N/h5Yeb9aZwtVbeUAgPVLjpCXBj5jP8+C0/R34z6DSD/3CktRsmiXWD/RZ/D9i7L4ElcIv9S2AQGAo8S016Ek8KUULtQyjUE6zK9ZXq9m7VdoavNEh5tg0yMP10mW1Njvt/8UOw6xnCk0pPmCWlXyhSo0vNTQCM3Q73fPI3uM+8B9c/8WRLt0skCgpR4olq9PRqg1X46jlwZ6V9uGa8cVzTXjUhrViQ8vUzG9JGX+LXTAddmbbbkt/06ZpC7S4VBdJYlwG3Zf8a10R/ANektyzwDNVGSfyo5JSAqIJUWLlAFa6V6gEmyF09FvUZ6zmgF5YOw+Ar8x7Jfji5Qx5kF1jcNDnh/8M5zJrjZAeS+96ldbIrLF+w+7men8JdAM+Tm4Gg1LGtPlPS/hT9JaSaqVhqEfwCDxeSfpCajHidwffjXyV0Gg4Dyw3Zey32MoPZYeH2iFfdTk7A3I73AF28zv6E3+GP+UlnjvggDZTZb8iaZ4GjMOMf29PkLvIITgMjEi+qiZICmlWgFaqdmolo/eHlduGmnegD+mFoBK4ElgNr4Zk0LkCdsIztiWD1bSS73JKyt3n9eIODkeZq/35k5nHr8KfJblBtlDRCn/fTP779gW/Dx6nO6yVetMc2XLCfT5w0ukYqKFw75X/Bl/rMKt22LmAlDA3C+G5m59sbH3fdrfb1A128nn1w4gCQxhy2ZIh/lcwnTr3AR+dfxNaD72OjuQcWwNwvLbd/2qcvYez1uNY+kch5Jy+cIzcgrj9eVKnaKP9xkfYUt292aapmBqlCSgWpuU1Sc51j9gq/8d24/lXBZYO71PoAuabFaR79wP/BNSkLHwaWuOaIOBk7Bue/8kV+NnohZsB6H81jcGKcws2pM5jXP0GGy5u9qdIh7BcM5v1PkAtPPRSvcU7R/kPDtJI+m3ai5jxpM4Wa9yoRHgrB143r/BQcXDJ4O0DuarU+4CTXmE/BjZNwZhJWQHZpvJq4xhbB9II+zKGfwkvAzAEKN534f7vPInuvJcvLzdxU6RD/eMPbgH5YOgorroWt69zf8/zhDvwZCkTiRSFKymhFh89agxTMDVMncVf5TZHrVB28BYdDmAw8bxI4C1sn4PA02VT7B6m86WvWAkx6kwyPBJ4V7g/lv/9+vvzb74Tl8ap1k3hY/5p/IsMlZA4bWAFsnARWuROVBevI9ZkSiReFKKlA3IIU5La53HKC7+00+bUzp3O/L4Dsekt2W3uGqUftw9xj7iQ7z5Idsq4GipMwsxvwmzLD7z0QpjYt5s/5HeyvGLIT6oMi0cqcyIXzzFZDhgFG7S7Ylmb/jy+FTetwNVKFaqM01IG0L2Nt678UjHmthVtavRkN5E+6GXfNrm4vVHhW8zmGtze4vOByekL3dwOr8MeweZvdw8M3vJvMtvatpclusXCzPzVOH26crXFy8wqW4g9uugh77BK6X+U6pIs0yl/NTHDRK05wxLgmdDd21Flyze7hfbZYsO/EoRHUJypadz5mrb2y1lerJqppkrDjN7vAKlRwVtu0V2x5hUZK93UBT8L8NJDm4R+9va0DFAA3W+AF2NDn5cNJKgtQkLvsfBJzuVWAkoZ74W2DHDE/D5yEtVd49wb31SScdEonUIiSKsUtSBVaXnhaGL/Gyh9HynOK/7+9+4+TqyzsPf55cNeyS7LEELNBllc3mG2TFhYa8pIgsaAGC17QXEs1VhR8Gam9TV9a4VWgFzs7leuP3tiixqoIt1ipUgoagdsgCRjaeJtokoZN2qBZzPa6e9nFEMNu3EV25bl/POfsnD2ZmT0zc+bHOfN9v17z2t2ZM3POnD3znO88z3OeB7bDZ7pfWfDVshtt3cZWyrYE1r3eAONuLKjpCVh/IWXtp6NHNFaUxC67yPI+u2Tmb/PPFheUjsF2cFPArKzPxiVKGr6Mp4vifk3Ue6iAuKXh/fjDH4D7GKyAli7vSjZvXr1FwEdcV/NC/vDzf8UXWz9KdpklM2C4Gni4ClvbYf+QP/jFl5n3oV+6Lk5duIFCN0MWCwe99/Spne4JO9YEnl0o+LbO/n3ehXATZPoavNZNkudFeK3ZD8s74ekhWAOcMLBnGtiK+wKjvniSPKqJkjLVskaqWoWr39y1DK7v8jphA/QAXdACdx4sHigWmxtd2BpwwwNceDZk77Czr5SrQN/j7ueY+SL/89SX4R7gDmDHEGw+jOv7NAUHLbm5BsdhZCuFh33wBR87D05MeQNyisTsRYBReHq3+7kT2BM8RseBy+u3fSJlUsfymvG/9aex8q8WtVLldjKfa9vaAq/tL7sMVvfArlGgE9ZCZnv+MPWnp8FpP38J14nbG9iTTljSTmbEkL3JwiZck8Va70mXQWZH7vX6rgbzSctzvzmfxWacDIbfs+dwrvk/0N1JZtAt++njz/Piglfhgt8+7/1fCFcBj2z1Xm0q9DPqfvEvfrgImIS1nQXfs0ip3PhjA7i+esEx28JDbUDu2A02XaljuZryqkUdy6UpxN03KihcEI/CLu8bM6Ow37v6LSS703JaqyU3kao/K727qi+72bomN4Zg7RAzEytfNvt1+h4GLoDFxp1kspss55ongQkYhPvtXrLXWN52+sNwgQEOkRvjysIjQ6H3EeXEkm+Zadzgo2OwfdT1uXq0/l+yJPkynMIz9rfhsmAzc7EAJZIMaawWkZqrZx+puebYK4dfqHfDok5YAJkNhk8cfYGpKzpgAW4Qy1uA46O4OcEGye2HDtfB+yPA9GGCA1rShxtAPeBH9m7cVH1j7rk3DeEHMTjMIbMMgPsvv86b226S3BhW23G1R75STkKF/m8t3Gq/wCezf8GNv3N7Ca8nUth8TsC1wI7zgN313hyRWKg5r2bS3Jznq3aQKjToXrkTFQc7lrcy+3/UhrtSrxuYD58ycBcwYHFj2nS6h04AR3eT637uP88fHb01cL8bMsF+xdD3wdxWZG+zfPzjN/Ex8z5OHiPHPe/U4628uGAK5nXCiW3khiUIytcMkk94f/nvfT72z96AecnCLsjsVHOexCPLS95vg3BZD+x4kNx0S0HBYzrKWFHNVHOl5rzqUHOeNIxqF2iF+kXEWbjMZ/Y8Xl4T3BBwFGAYGHO1UIPA0f7ANkzjaojmk5s+ZgyYgnm9wAS0wK9t2D/TPPiJoy/A7ZaPtW4i10Q3lnseABO8uGih24j1/rryTV8TnM6lmELLdWB+bGGNApTErKUV149vEHZsnWNhkeRQTVRNNUNtFFS3RqrYFBD59muhbQnWQvnLLSQ3GeoxXBg6AxZ0wHH/c3KAmeERWnph2q8VKqbFe90poAOW9LDy2Z3su3WNu9puxAtqyzphwH89vzZsDWC99Y56j02EXr9YB9y5pszw33+7m3pj8yis7YR5uGEUrgBug8x+hSopT3aTZeONf8lm83pmTaU0U+taqE+UaqJyVAtVPaqJkobT6AVbOFj4zVnjwDFY1QWsgFVLYV6H1+/J4L5JB2qIpvcGXiNcMxTkT2486V5/pJ995iL4El7tVicwFAhQ/nMmgcPeev0AFT7JBDvn5jvJTBZ5zH8Nb/s3bwX6YT3c+K3b3dWEpwL7Ldmr6v9lS5LpEzf+CZvNFcye/irp48yJOApRUiXVClLFxoyK8m0tPH9euC/UYtgDGV4Jeyyc6McFGEsu2Iy7+66/kNywBnBykAoHHm/bF/W6dR4Hpi1wxNuG6dDrBAMVgcfC90UdR6vYcoF1bobPmA/CusOw9ghddoDMI4aX7Mcirkck589MFleruxiuudz95EpY8rvk/0LjS3uNvaSBQlRdNEvV7FyDPdaL31TWTq4Qn49rzmsFDnvj2nwfF6DOwzWntTGr5ueercxunggq8r5n+lEdgesNrulw2HvOBLND2TJv/ZcFXqCcAFVs+VBI278blnTiB8Yh08lj9nE++em/KHFdItBjj5DhHDKcAw/Apfanrrl4ZAzWv41cP0SR5FGfqJpq5m9ZcVbfR+3nE17vwtn3L7gSjvvDCSyERV1wdIrcQJbPhV6zGzfGQLBPUr5AHG6y8Jsx/A7rC3Gjou/27vOb+vIFr/bQuoOT0FQyknt4Hwa32V2p5362eb93kuG0CtYnkpPlBWbGYeMYcDXuc3fAWyJqjWsjfkmLW7N86a6XyvpENduZvM7SMOdcueJ878F57/LxO2YH1+c3u7XjQswUHN9GrmA+DEf3ecuFA40fKvxBLvMNEhgU3LZ24Cxghfd8r/8T/pQXFHnNNnKh6RiVhaaw8D7MN97WQripB4Ygc586lkt8nrednHH3JDzaAw/sxdXoTgLvwH258GtmW1CIkEam5ry6acaCoV7fGsOByw9KwT5I/s9jgcf8m98xO9hvKWqgOQsXwAZxgWgfrobLb7bz15Wv8/ckc3cMr0Sh17wS6ObT9nOwacrr/C4Sn8+ZF8lsMN5cjV1wQQfMWwMtHeS+ODTrF86gZjxPJItClNRYPfpJtXi3dlyn1l5yQw74tUDhwBQOL8fIjf00V6DxH58GhuHcpaHnhZsq6jl7fb51D0FLFze/+/OwrDXvHHrftw9Wf9Mk/boBFsJ+4MQQTO/GfU7Pq+dWiUSmECV1UqsgdRZuwKN27+9WYBu55oK5hggIPlZO2JmCg9twHcSDGiFA5dMKdMFl8Pw32uBLkN1o6ctC3/92S7zNrmDrq99Rz42UBOh7a+HHsliyLdYNWssgrAPXP8rvgwfqbC5JoD5RdVWNed+SpJp9xPyQ4tce+Vfe+VfYRenbVAm/z9FF5Jon/IE8D5W43qiBs9x9GewfdZ47oe2EM3om3bQ2I2Cw7gLBoRf5IGeVuR5pJuaVlgyzazH/1W7hsb1vh1WjMN2Jm/B6BZkthiz/Qq6pGxrvC4bIyZr5DC4Nodqd7cfJXQHXTvk1YMWeV2j7J4Gd3uMDuCDXhhvF8uEY1lto2XL2px+k9sGWQ8AKWNsFfdDz609x2JwBH+qCrpfo4j+YmQ5HJI/sFgvrjpDts3D9FFzQCh+BS3nUBShGcQPJjgNjZHkK18z+EPnn1GvGQKX+UEmg5ryaa4ZLcktV7X5SfuftKbxOGIH1zVU4R9m2Ysv4Vx1NkLuk2586ptL1Vuu5k8AhuG8vrIPDZ54PHIP1/bgO8qNwb2eZry/NwG7xxj/r64cXvYFl++DJ7BWwrhPXvO2PsebXFI+izuSSNApR0kBKOfGX883UH6NpIbk+UnFtj798vuf4Ia4V6KB4LU6cgbLU1wmGTe/3BeTm9pvpFzYF8yC7x5JdW/9x5qSx9B2A1//t47hjaQyWb8PVyPZD3wRsGWPWJNqrL/d+78Q1jiws8MoijUchShpMXAEi3FI9CcyHZf64TXNtQzVqxlbianIKBcBqrLPU9xIMUi2waxts9q9kHGOmj9m6fthO3iv3pLn1nQdP/PzNuGNmHHc8+bVO47jPwA5mjs1dDwJPAxZaLsfVFi+juWvt1ZSXFBqxvC6aeeTyUkSp2i90BU941PA2774e3JV5E+QKdl+1Cu1876NeJ4hS92l4fkH/vg7ccBFnuN8vg8wOBSqBLCO42lb/ClgCP/ONQO4fby1uPr2RB3GfzSgXf6Q1aClE1U5lI5arJqouwhPTSn5RalFKadZrBTqh5UpObs6rZmFcbGLipAhucxssuYiv2z+BuzrIYLj1u39O3w/qtnHSQM6xR2FBb+CefOOiBT+3gd9HtuG+6ESRxM9RFDonJIlqoupGtVGlK1aLUmwuOH8euGDn1VZyfZPqHWpr/f8vpTYqPKcewBV02QGGHu8hs1a1T3Ky2RN4Rx1OZCXuuPte6DmFnqcQJXHQ3Hkp0OzjRUVVznAI88nNX+f39/Gb8fy56epdaEVZf5zHRzn70V++BTjAUE8vmQEFKClgnYEt3bgQFXU8tn3ez3CAEmlcOnNLwhQaC6nQpMQduClb8l0R1wgBKqp821nJx7eUINWK6+h7zPv7PNc3WMSTbbEwbWGzYd71P3VXdd7VCRv8JaIM6VFIM44RJUmhPlGSIuHCtrXA/cE585IsOOdfOaKeuLyhGdZdhAuqB+ZcZfbc+ncTkNrIXm+5YeqzwABs7OfEvBNuYuENO4nW5BZeJumfS2kmClF1o4KjMsXGZILc/hwmf6fuWuzvfJMZlzsH31wqDVT5+JM2AwzBFnA1Ut18zV5T/KkH4Qp7fozbIo3q9nsMd5oPMzMERvdSGNlNroN4sSvrVA7O1uzvP3kUoiTh8hXEwbCSr5CuRkFValCqZrAqJVDNMZ3NmiuBK93vWLitHWjjva9+AIDsLSfXOGUXWWCCi/99f4nbLUnT97fwA/t1uA1m+hsObsU1/e6m8DGY77jLt6ya8qSxKURJShQbKbwatTTVCEDVDFTF5Nt3be7+nf3AYdjlXbJ+EFjSysaf/iV95wKbILvekr3J0muvJLvKwjyAYzz2m2/gjfZ1sb0TaSzZ/Rbz/hHex9dgFeQm2va/2BQ6lqMGKJHGpyEO6ipfx1719a9ceL8WGpCzVPX4VhzXtvuKHV/B/eYPTtqOGxpiMbCU8+0unnrVajhu4V4D13ojm3cbWALsmsA1oU7Col64BR6/8fX8s/nXmN+H1FN2jSWz05DlR7jw1IW7ui44uGa+iYQhvlqotA1xoCBZH5UNcaAQVXcKUtWVpglN4wxUhY4xf391AufhTlTD3n2XeD+HoaULpg+Tq33wr4IMntg6YJmGQkgbdyXeGLkpjIJXuYb7Hea7qCOsUHgoFqIUoCQuGrFcpIikjhCeT5xNfYWa+fx9NYarWRj3bseARwEDDMNycEFs0nts0Ps5HtjGKS4+/ERM2ysNY3oMeN77o4VcrWWc1BdKkkEhqiHpW0n80ham4lKsFuAYcIiZSYeZALxOwwd3Q8vSwGsEX8ergVh9IW8xbyY75LY3u9wyZD8f47ZLrWW7LfNO/ILnbC+c28u1dh9sWEOuyTc8z+JcVNZpHySbQpQ0mbSEqbhrpYKC+yfY2X0aF6imgDaYPsLsE2Zo+pxd/WQfsbD5VC6xa+DpIe5+w8aYtlnqITNouHHeYr5gTpA5aLj38g/CErjYvgDrLyR3JWeamtFFClOfqLorVNioX1RtpKGwj6uvVPCYK7Rf/KabTu/vS4CH8ywXnLNwBf4Q5/NOnMmN8xaTXWJhE2SuVX+pNMhutLB5FDczwCjuOPGnfAmG/SjjQkX5cpCGL0I+1UTVl/pEpZQ+WLWRhsK4GjVShfaLXyPlT6XzTU4ezNS/+X2pnsevzTox7xdk+yyMjPL8e9rIXlD/L3FSucxmA/M6YUkvDKzFXWjwNu+nFKZyPulUE1V3xWpCVBtVW0mvlapljVS+9YWP12Czjt8BudX72YY7wS6GJYbMiGqk0iK71sIFwKYh3MUJwabnOGqi0vDFx6cQVX+qiUq4YgWCPmC1lfT+UtW4oqmUiWHDHcyj7M9JGClnu6Task+X+QV7+xhsGsXVQl7N7NqopH9RiZPK9zRQiBI5SZLDVBxBqlhH83zri7JO/zW9WqhbeqClEza2Y290tVB995e8oVIl2QWWzPLSawezvIy7+GAU6Aa2A2eV8Aoa2kCSRe1FDW8a/ZvqJRgekvQNepL4Rzqfovg+CK4z3zHrdUbf2OPGmLoFeBQyaw193hJ974xxc6Usy4ADts8NB1aGU0YmeHlJF26A1t244+Iw7tjwA1Iryf2SEhfVQqWFzs4NYa4TlIJU/SUtUPknrHLDlF/IB4+7KEEquE6/T9SlwIB7rc0WPmXInDCwtsxNk6p5Lz8BM0VuJProDtl7eDl7Gi40gTuGCoWlcoNUGsKXZR0g+QAAIABJREFUAlSaqDlPpGTBK9AaXdzNI6W8Z3+YgzagE/qWQp+h5+anIr9C9tz6X/jSLLK8hD/q/CkjryC7vLR9f/8XroN7YIUdJ9eEF56Pca6LEUSSRSFKpCJJCFOVDMxZbGqYKM/rhBYD13TCKsj0GX7fXBB57T86aMiiIFVNfa+Bu+2PYEMr7jiZ4uUlP4P1pb1OZqMhM2g4tHulm1uxJTjwZvCKzGW4eRlLrdFt9M9ZFKqFShuFqIaRhgKimSUlTNXSFDDAtVNfgQeAdZB9tLRA9GsbLWC9DssStywvY/7fSwyZHjgB7n/mTfmzBbLz5v5/feLoC7P+vvOi97r59aZ3evf4QaoTWImrpSp3kE2RxqIQlRj6BpMMSQhTpSqnNirXTHPvxR8ELEyPwhUlrnrEX/9zZHepRipuz9pX4eZH3A337SQ3gfQY7O/nV8efpt1uJHtT/n2fXWeZWjZ7QM1hcy+50er942A+7mq9fuAAMBT/m2l4KsPTSCFKpCrSGKZKNQULroRzwXUsn4J1pb2C/biB1a3AGKw+QvYWS7bFkr3K8l/sufFvcsoN2r8he28uEJ3598dhdS+5EeZh5mS/oJf/vHo5N5vPwbxcrVT2Jkt2rbt1feswHJ8ge4f3WLd1y60zwOtwzXcLcdMDjZGbBmac0jT7Z0kalUYsbyhR+gioI2ZyNcpVfeVcsZfvuMv3fvzX9pdvJ9e5vAOW9HDPs+/iiIk2KFS2xbqmIW/uPX/Ovq/bP+CH5tvRNl3ILrNkBgzZ9RaOAmvBnmow+62rHVy/F3gu8Iz5QAe09MIdwMYj0LeUF257Jae3vIQbB6oTmMAF5IWwvgvuG8WFJT88DbphLTaP4kYv95sLgyOY+zU0xZrz0hCiVBPVmDRieYqkoaCQwhqldqqcvielnAD8ABUOWR0wMsX1r/6H6C+1CLipg9zJd5Qr7ff4/fO2zCySbXFfBL9vHyxhG5vDTFweGHMd9O87DNv74XYwSywvfMPAteACVPCq02PAMExvc2N6cQz6pjj9tpfgNnAh6giuaW4K7u2C+8AFK39exUGgBzYfJjfsAUSfVkik8SlEJY6+zSRfI4SpODrxht9DsIYreHKchLUXwgWd0NIKd+UeGbKfP+lVs9st2Ttcs93dz/4+bOrHv2qMe3vZuvQdcJnrYZNd5GqqVgBbz3sHfcvh4yMnYnhvydb3afcz918ew/VHOubuPbEX1u/m9F9amN5K7n8ZnkR6Gk5s9Z43BJuB2494jw17rzsJ1/Z7r7+N3Ijlk15e6sE15y0DVjC7drJZqNxOK4WoRNIHMh3qPd5UnFdDteHOmN24k2Rw8uE22H4YvgQshxve/tmZZ3WZPya7xdUk9f25uy+z1vCmDz8C02N8wPwlueafcbh2J3wKrvr8P/L+JZZnfnomMMp6fgwHRzFPW87u/EmM7yt5shstfTeH7tzZBZ/y+z6N4WqejgUCVCA0zQgem21u+RNHgKW4YDTpLT+OC1TD5OZP9PtVAewEvocLVpDhrUAX7iq9ZghSKq/TTH2iGlLUKm71j0q3WjZ1RD2ZhY+5QFCiw40NNH0EF6QW4q788kc673bLHAQ2Ah/CNSVNj+L61rS65yxqd/12OIKrAQn21QlvS5v3vLPgYBeZc0+eryTbYslMG7IfsmS+VOZ8Jg0qu9qS2WVcZ+4To8BCMrzy5OVarOvUvxy4PVzzVOwk74/v1IurafJnT/BHI8/3BcAP0Ffg5o/Zivv/Qq5juR+6W3HhCwqH+nrX2lZCAarxqU+USErV8uRRaa2U19w2bXEdjcGdJP1L3dtgfYeb6uVcYMcErLewGk5/0eJqM1phYzts8p5KJyy5MLCOcM2df0KeggVd8ICrhQnq2wRMWzca9zx33yr7JvqWV/h2G8WuKfoW46bR8ZrRfmTvPnm56TF4YAxu3xm4MxygJkM3mH1cjOHC0BgzzXizap7CtVj7cPPnzWxE6HXHcSE5vJ6gJAcoaQaqiWpYqo2SsFrUTM1VI1WoJsp/rj9m0KVejdJQYJlOrxLDC1rX9LhBOGdOtCtwJ9PFsMHAXds4ucYjuD5/HKIO95wFS2EHPHz+m9ljnqAbeP9qC7vcFWOtRzuZWtcBx+Gpg4ZvAtm1lsz2xq+dyt5lXcft/ZA5mtveLD/G7SN/rrsemNcBq4ENwJoXyXS18WX7DCPmBLlawWFcIAoGm2KCx0V4+eBjwYsKFuJqHw+QC11B4TCcT5JDlGqhkkE1UU1OH9TmUYv+U3OdUOc63iZw2/gkHN0GDMOiTlzIwWu6G3DreWA3LkB5NRvdHbgrugYLBCg4+f134k7c43B8iMfOfwN7zBMcsvfw/kUWrgE2dgJjTC0ahJ2HYZOrHwO4c9t7yQ6+RHZJ/b9MFvKJoy+4QLTdztr9ff8XcgHKrz0ahW449YFjsH4MrjqV7DrLiDkb6CTDKlzTnL8HotZAhmuo8j3mb4/XnLdhDa6maSrP84IBqhAFKGl8ClEiiVPvDunFTJ/8+9EJN3/etf79XhPcTCdnrylo0L8KbMC7zw9kMLu5KPi+O4ELYUkv0MFbWv+F7Ics9996HRy1cNMobN5NLpB1whVjnONNrvtDfh26R2FkYtao3P6wCbWSvW32+oLT3Eyt68DtpwE4PsGVwHr7q5jPWVjfg6uJ85vHBuDgTl5c4I3RtH8ItligFdZ2uubObmDtGuI/0QfHflpJ5i6/xixcgxrluG3EY1vkZJGb84wxrwD2AMPW2quMMUtxFcxnAHuB91prXzLG/Arwd8CFwPPAu6y1g8VfW815+ZXSfKNmveYWd1NfsWa9QuP8tAV++s05Z+FOrj3AkOu7dAKY7md2v5p8tU3FTvItuM7ry4AOuKCTzH5DtsVyz9S7uN58jpnL7Geautr4G3sXX+c9jLKYV3Gc75vlbrlzezl15zEmD5+B+aWFTdD1j4cZuryHzHZD9hbL1z55Da/ne7z2M8/CI/C1HYZrD4D5ExdMcqFhtux2C48C+3Ed5o/DiiP7eKe5kGy3ZcWRfRwyK1ljt7HTXM6N9nY+88bbsMsM5oTl0De6WfH+Qbhnr7dfe934WatxJfLIbnJ9i3zeYJl0w7wOVo7v5GrzBi+cPczsEcrj5ndGX8HMSPUz2xf8PxcbZDPJIUq1UMlSWXNeKSHqo8AqoMMLUfcD37TW3meM+RLwlLX2i8aY/wb0Wms/ZIxZD/xXa+27ir+2QlR+ClFSinoEqXCIasFdvg5u2g9vMMaWC2F6L+67lcWdaPzxn8bJXb0FxU+u4f43Xqd1lgFLYQ2wHFZ+ZSf7zCXe+ocDz5kPa9fw8W038bG7N8EGfxta3LbtBF4E1vZjv3I+5jsWHjjiPbc99xq0QwtkpkvrT3XCfpzPmNuYHSxCV64t6oWje4GFvN3u4tvm3bgN869q64ZFXS6YrQo2e/q8qxXX9LpO/F+ysMi4kcev9QNXvj5KYVGCTKFjbj4uOIf7XuULyIWa+pJKISpZahCijDFdwFeB/wF8FLga+CmwxFo7bYy5GOiz1v6OMeY73u//aoxpwU0h+mpbZEUKUYWUelJUkBJfXIGqUJAKh6hO3MmvDXeZ/Sqy7MK1HR3GDbb4PbfoBWtg/yiwGHeSPcDsIAHFT/Btod9bvddaAfPaXQia7sedyP2mwaCz4NFeuGIK1yfLX9dCZjcZ+h3X/aDm134t5i32IS42JU4E6MlusLAeWOsP7eDXCAUDhvt9iX0NI+aZ2e9hwZVwfBQe6YSrguM8+VqBq2GBgeN7A/f5IQzc0BNxdeYuNP1PB26Yg0e9+/yr+qBwiFKAklqrTcfyO4A/hZmG+jOA49Za/4gZwtXb4/38CYD3+Ave8rMYY24wxuwxxuyZ/S1UckotUPQBFl9cfaYKnWjzHWuduCDSSpZ/wjWn7SYXEsbdbb83JcgqA0u6YNGVodecq4YkfNJdiDthD7Pw+DCcCqzrBZ5mdv8r/9YLV2wDtnvb5Pe38gagnKmlCc/r1g5rO3nYri07QIFr9susNa7D/calgUeCtTVuX42YH3LSvj6+FfADVLDfWHCfPOwt54+xNYz7fxymcIAq95jJ9xz/fWzHnRKCncvTWk6l9X1JMXNWXRhjrgKes9buNcZcFteKrbV3Ane6dbymcS+NEUm08AmunBqq4Ak3T83Uuuthy0PkmqdamN2E0wYEJxzeCbTDnr244DXsbVfUy+2D29SGCwejwBTH/BJtSyv5+98ABOfYCw+ZEFx20ruvEwYWk1l2CmyHPTGNiJA5amAz7srAEXBdS8NXsk2FfvoepHDobCO3L/2BMYM1XkFx1fzkG4KiE/d/ORS4TzVQki5RaqIuAd5mjBnEdSR/E/BZYIHXXAeuE4Tf8WAYOBvAe/x0XAdzKYtqoyROldZQBU98XrPTlnvITTrrN9eMB5YND+I4Hrp/jPyXwUfdHm8+uFmDPob/Dip0pV++/bIQaIM1VRxL6l7oszcDK5kdUgsFqOD2zzXkALimznCAKnQchAfPLHQrJPiawaEXJkOPKUBJOswZoqy1t1pru6y13biW/Ceste8BvosbhQXgOuDb3u8PeX/jPf5Esf5QIlIPlYSpPEFq1mPDzG2M3HAGx6j8SrFwUMt3C8sXpIK8TtzrO8iMVC9EZdYaXsszsMGw0gb7LeXbtmIdssP8wPpk6PWKhaeoogSqYPNkuGlUJB0qGSfqZuCjxpgBXJ8nf66Bu4EzvPs/CtxS2SaKaqOkesoNU/mCVLFbvuf7TW61OqkWW094GwMd56+vztYE3conYQds4C4Kd+YvJUCFxRWe8sk35Qv4Tay5ZUABStJG074kRjl9WXS1npSq1OMs35QflaynnEBXyTbD7CsN/Sv9vNfc0AvHIfNAbaaGyV5mYQlwX/iqu0oDVFg9vmilbTwo0BfWNNC0L1KQPuBSqlJPauEaqag1G1FrrKIo9flRQkg3dPfCYA0D1DUWdvhfatfG8IrFap9qqVBzatIDlIhClIicpNRAU6i/UamdkuMQR5CahPs63MAt22PYpIgyDxhYZuC+I8AOcjVjoW2LpNB+qGWAKhSeIB0BSl9SRe09TWAa/ZulPPkuWy8kOOTAXKKefMo9bv2BMucS7sTta4X1FjfG0vw8j1dHp73OG99zKUwPlPkqxcJJtU/6lQa8JFGAEkc1UYlRScGjD7xUIu6msqgqqb0qZ9RtP3iNAftwYyu1F3xG3EbNV900MneAG2NpPm7E96h9vmoVoKJe/ZiPApSki0KUiERUSpCK+yqscsJU1O0NhZRPXY6b920pGWrTHwpglX2T++UosKoXF6SWRXx2NcNJOWEpnzQEKJHZ1M6TKFGbKfLxT0D6l0slwnO0FVNKE19UpR7HUT4zrcAyuKMHPtIPtwO7OmB1udtYnqs/9jhgoW+I3FQ248BFuFHeyxlxvJTgWY3hB9IUnFQDJSdTTVTTUUEgcUlKzdRc2zkBDMBHjgCdcMLCajeVTHZJ7YaAOWXjz+ERA91duKlShrxbf5mvGHX/VOP/AwpQ0gxULZE4ldRGicStWp3Po4rrwokp3Ojp3bhmNG/KkpEYXjqil0dOg6smcINUHmP2aPClnsSjLK+BL6NRgJLCVBMlIjEotfN53B3QY3j+8sthXQ9gyc0BuJjsutrURp2+fASWtANLmf2e4q7RqVbNU1CaaqFEClNNVFPSsAdSLaXUlMZZMzXXMV1ou/xhDqbg6a3wNN7rtHmvaeDUGDYvgo+ceiYA2Q9Z+NJ8Tu4D1Ua0iXsLhcpa1DylLTypFkqKU01UIsVRUKlwkGqJY7DOclRyTIebziZxYeowDEB2Q/Vqo/reGrrjaWDwIlzn8lIpQInUkkJUU1OQkmoqNUjF0cxUyTEdDn8rYF0PmT2GzF3VG+rAvJQLaL9l3wILgO5DuBDnj18Vpea4Xp/nSqbsaWQqH2VuatNJrLg6mKtpT6qpnOO00ma+Uo5pfx3B5VtwwwsMw5buMrchGtd0Bx+dbuX0e17CDUs1AZf1wo7d3lLBgUBbyD/UQTHVrIVKY3gCBSiJSjVRggoMqa5yT7Rxd4COuh2dsPYiWNIDC2YHwOyqeJv1nvnimcAop7f8BO4FN6TBuDcRcRtu1PIWYCVwFoVHUK91M15aa59A5aGUQiEq0dJaiEn6VHKslhOmSjkR+rVQfo3PJGzvh5Ep2D/F9+2D7LBbyd5nYQ9kr4onSPV9BV5rfoi7EnACdhzBDW0w6N06cUHqEvc4wyWuoZoBSkRAISoF4irQyp2jTCSqKSqrwSi131SUY3olrnannVyT2RSwjFOPj8PtrWw1y3jSvBnWA/TDI0NkF7gglR14uaR3sNpeSvYqS5afYz74MpzbgQtRA7ge5cPe3924WqljwJO4ufzGcGNIzfUeqzl4ZpoDlMpAKZ1ClISoEJFaqPRkXGqYCq/XbyobA9biantamOnM3dLOi8sWwl393nP6gb3M9PE6Adn1Fm43ZNdb+h53r/p79pyT1p7ts2TXWh6zj3PlG3bAi+BC0yCXHngUN09fcBunYYkhd3Wev81RhjdQeCqPyj0pj7G2dtMaFNwI8xoLN9R7MxKsGiOYq7O51EJcx+5cndCDx3MrrgZqGa6GpxU4DxdsenGBaaF3O4SrDQqup8N77jTwPHAGLpAZWAKZkfxX8mUXWDjuppPJjU/V6W0DzA4qC4E1zExJwxiulmoytGy+Wqg4pT08gQJUs7ttr7V2VbnPVk1UKlSjoFPBIrUQVy3HXDVT4eN5H/Aw7kq3UVyTGcBhcoNajuMC1nTgNgl0w+r2wDKD3g3OffYHBbfgjp/9AfR1knvPozPPm93UOeW99hjwPXJXOM71xSbuTvgKUCJzUXWDiKSIX8OTjz/0gR9KgqHDrxEb8H7OxzWzwckduvthF7gaqbHcc1fD75rXFdyyn5k7gS8HtnMaV8uVL7AsJBeghoGLvHUFhzcIBoB6XMWYdApQUjmFqNSoxsTEGkNKaiXO47ecIOXX/LTgOpl34JrSBpkdKqbInXzHyX0+unOVSgVkB16GZRYXkPwmwmCACp7UBwK/eyOnz3pOtShAiZRCzXkyBxU2UitxnsCjNO2F1+fXDi3EhbADMO8iTm5qm2B28JkERmHEFh3+ILPsFLjHAM8V2abgtvg3v8lxkvyBK65aqGYJUCLxUYhKlWoVggpSUiu1ClLF+IHlGJx4iGiXvk/CEsOlDz9KdtPJQSo7+BLZRRZuh1yH8iuBFXm2Od92lzpKeamaKUCpPJP4KERJRCp4pFbiDlL5Qkmx2qiVuCA1EXruHGFqBJ5svQJuguxy6wbnBP4Q4NpWODoBAxPQ14sLUbtxzXb+axYLfYWa/SrVLB3IfSrHJF4a4iB1qjHcQZj6SUmtxH08h/tK5TuWi63Tf34HsDi07FTgsWXu1/UG7rO4mqTncZ3EW6HlIpjux/V18psE8wkHnDiGNGim0ORTeJJCNMSBzFKLAlIFktRK3MdzlNBRrHbGr9nyx20aJDfKeKAf00bj7p8G1wdqEBekxoFjML01sI5yA1Q5FKBE4qQQJWVSwSS1Us0Tf7HjuNh6/cAUDFx+SBqFzbvdXQvANd35wYvAc4aLrL8a71kBSiRuapdJpWoMd5CPhkCQWqnmEAjFjuNi6w2+zrHActPe847BXf59bd5tnOr0bZqLApRINagmSiqkgkpqpZpX7lVyHPt9mvwaphbcQJ3dQCes64SW3jzrzLcdxdYh0Wl/SW0oRKVWM37zFClF1AAzV7NecDl/MM5+XM3TYdgy5jqRt1wUWLbcZsRC6y6m2coCBSipHYUoiYEKLUmDuI5jP0jtwDXztQCTXmfyWm+XApRINSlEpVotC9AoAxKKVKrax3Q5Hb0L1Qh5rzWvncLT0FRLs43/BCp/pB4UoiRmKsik2pIUDqbghD/8gd95PdhRvRrhKkn7Jy4qd6Q+FKJSrx4Fqgo0qba4jutio5lX+jotuIE3J4HzcEMdzA88FkWhbYlrvrw0UHkj9aPr05tCrYY8CPILNh1iUi1+kKr02A4PeQD5j98on6P2wPN6cYNs7gs8vhi4CNfx3B8KoY1cP6pJbx3lhMRmq4FSeJL6U01U06hXAau+UtIs2oFLcbVNC3FTuhwj1z/JGzuKflhwOS5oteKGQmj3/o7SvJevFkoBSqQeFKJEJOHqNaJ52BRwAFiDC1E9zA5QU8xMD3N8G3AJcBYZzgfOwgWpDlyQKqV2rZkClL6USWNRiGoq9SxsVfBJNVV6bFfax6gNV6Pk1ySN45rx/Ga64G3KW/ZJYJgsL+CmgLmEud9HeDubLUCJNBaFKKkhFYJSTfUKFG24prhh7+9t3u/Bfk7BGzCvB5jwboe9n9/D9Zfyg1it+zE2MpUd0pgUoppOvb+5qjpe0iTUh2ltL7napkBommUcTtxDbsLiA95zxoDdzL6KL6hZa6FUXkjjUoiSOlHBKNVQSbCYY9DMWfwJhSHXQRzY3l/mdvjr9jufBycqbmYqJ6SxKURJHamAlGqoRfg4i1yQaseFqJXAKK5TORQOZeHO5r5J77XOyvOcZqyFUvkgjU+D+DSleowbVYjGk5IkGsc1u3Xjmt6OketIPlbgOYWCT3C8q1Fc/6hwuIryOmmh8CTJoZooaRAqOCVO1Q4aE7jAcxgOtpPhbHL9oKZxISu4LVG2J7yM3ym92DJpo3JAkkVf/5tWXKM9x0m1UhKnata4Tnuv3Qbn7ibLY959xwLrDi5byuvm65Ce5vCk4CTJpZooaUAqVCUu1QgfbeQGxXwOVyM1BizPs8645uETkUakENX0GvUbroZCkLiUcowXCzCtgWUmyA1l4I8H9WRo+bgCVKN+Riulz7gkn0KUNDgVshKHuIOIf1x2Mrvv0lTo8ShCA3HOkuYAJZJ86nwiNNbVevmor5TEodzjvNBxdxYwSHnNb1Gek8YApfAk6aKaKPEkocBW9b9UKq7jvAUXhIKvF6UWqlCNU1gSPo+l0mdX0kchShJIhbFUotKA4o9UviL0dzFRw1Ma6cuPpJdClAQk6duvCmWpRLFjvVjY8ScbfhuwA9cnqlgzcznhKUmfw2IUniT9FKIkJEkFuApoqUQpx3orbmTyDu/3b+LC0TDQFVjOPybLrXlK0udPRNRTVxJOnc6lmvzJhed7f49xcjgaxNVIDXl/l9tsl5YApS830jx05pE8GnE087mEC24d2hJFMLgEj3c/CLV594/nWT647DGat+ZJoUmal840klLT6PCW0uT78jBJ7jia66q7ctaVdApQ0tx0lpEUU5CScoTHk4ozPPmvn3QKTyKgM4wU1eiDcEahPlNSjmoEnTSEJ1CAEsnRmUWahMKUlKuSLxNpCU6g8CRyMp1RZA5pqI0KUpiSchQKQ60Rlkk6hSeRQnQmkQjSFqRAYUrikdbgBApPInPTYJvS5HSiEJlNI42LRKUQJRGl/Ru3Thoi+hyIlEZtGVKCJA7CWYp8JxB9RCStFJhEKqUzhEhR6jslaaPwJBIXnRmkDGnsaD4XhSlJMgUnkWpQnygpU5r7SBWj/lOSNDpeRfKr/Dymr9VSgWaskfIFT0z6GEmjUXASKS6eigCV/iIVU1OfNAqFJ5G5xdeSolJfKtTMtVFhClNSDwpOIvWi0l4kdmrqk1pQeBIpXbz9eVXCSwxUG1WYApXEScFJpHzxXxClUl1ioiA1NwUqKYeCk0ijUkkuMVKQiq7QiVEfyealsCRSPdUZlkcltsRMQaoyqq1qLgpOItVXvXENVUpLFShIxUOBKp0UnERqp7oDQ6tklipRkIqXJkdOJgUmkfqp/swaKoVFEks1VY1HoUmkMdRmajKVvFJFqo2qHdVU1YdCk0gzUykrVaYgVT8KVvFRWBJJjtrUQoFKVKkJBanGoaEV5qbAJJJctQtQAKdEWcgYM2iMOWCM2W+M2ePdt9AYs80Yc9j7+SrvfmOM+ZwxZsAY02+MWVnNNyAicZguckujZnu/Is2gtgEKIoYozxuttRdYa1d5f98CPG6t7QEe9/4GuBLo8W43AF+Ma2MlyWp/cEtcigWORgsfSdpWEYlPfc4xldThvx24zPv9q8AO4Gbv/r+z1lpglzFmgTHmTGvts5VsqKSBf5CraS+dFE5EpB7q9yU9ak2UBR4zxuw1xtzg3dcZCEYjQKf3+1nATwLPHfLuExEREYlRfVs5otZErbHWDhtjFgPbjDFPBx+01lpjjC1lxV4Y8wLZ6aU8VRJPHc1FRKRS9e8mEqkmylo77P18DvgW8Dpg1BhzJoD38zlv8WHg7MDTu7z7wq95p7V2letj1V7+O5CEqv/BLyIiUok5Q5Qx5jRjzHz/d+AtwEHgIeA6b7HrgG97vz8EvM+7Sm818IL6Q0l+ClIiIlKOxjh/RGnO6wS+ZYzxl/+6tfZRY8wPgPuNMR8A/hN4p7f8PwFvBQaACeD9sW+1pIia9kREpBSNEaAgQoiy1v4YOD/P/c8Db85zvwX+KJatkyahICUiIlE0ToCC0saJEqmixvpgiIhIo2m884RClDSQxvuAiIhII2jM84NClDSYxvygiIhIPUzRyOcFhShpQI37gREREfEpREmDUpASEWlujX8eUIiSBtb4HyAREamGZJT/ClHS4JLxQRIRkbgkp9xXiJIESM4HSkREKpGs8l4hShIiWR8sEREpVfLKeYUoSZDkfcBERCSKZJbvClGSMMn8oImISCHJLdcVoiSBkvuBExGRoGSX5wpRklDJ/uCJiDS3xh6JPCqFKEmw5H8ARUSaT3rKboUoSbj0fBhFRNIvXWW2QpSkQDqqhUVE0i195bRClKRI+j6gIiLpkM7yWSFKUiadH1QRkeRKb7msECUplN4PrIhIsqS7PFaIkpRK9wdXRKTxpb8cVoiSFEv/B1hEpDE1R/nbUu8NEBERkbR6fxAkAAAIvElEQVRojvDkU4iSlAt+oFvrthUiIunXXAEK1JwnTaX5PuAiIrXRnOWrQpQ0meb8oIuIVEdzD3asECVNqLk/9CIi8VA5qhAlTUwFgIhIeVR+gkKUND0VBCIipVG56dPVeSIiIhKBwlOYaqJE1EdKRETKoBAlMkNBSkQkP5WP+ShEicyigkJEJEc19cWoT5TISTTKuYg0OwWnKBSiRIryCxKFKRFpBgpPpVBznkgkKlhEJO1UzpVKNVEiIiJNTeGpXKqJEolMHSxFRCRHIUqkZApSIpIWKs8qoeY8kbKow7mIJJnCUxxUEyVSERVEIpI0KrfiopookYqpVkpEkkDhKW4KUSKxUZgSkUaj4FRNas4TiZ0KLRFpBCqLqk0hSqQqNByCiNSTyp9aUHOeSFWpiU9EaknhqZZUEyVSEyrYRKTaVM7UmmqiRGpGtVIiUg0KT/WimiiRmlOBJyJxUN/LelOIEqkLFXwiUi6Fp0ahECVSNyoIRUSSTH2iROpOfaVEJAp96Wo0ClEiDSNcQCpUiTQ3haZGp+Y8kYalAlSkOampPykUokQamgpSkeaiz3ySKESJNDx9KxVpDvqcJ436RIkkhjqgi6STwlNSKUSJJI7ClEg6KDwlnUKUSGIpTIkkk8JTWihEiSTeFApSIo1OwSmN1LFcJBXU+VykcemzmVaqiRJJlWBhrdopkfpSeEo7hSiR1NII6CK1pdDUbBSiRJqG+k6JxE/BqZkpRIk0FTX3icRHAarZKUSJNC0NkSBSHoUncRSiRJqeaqdE5qbgJCfTEAciEqAThchsGj5EClNNlIiEqGZKRMFJolCIEpEiFKikmSg4SWkUokQkInVElzRScJLyKUSJSInynXQUrCQJFJgkXgpRIhIDNftJo1JwkupRiBKRmGm6Gak3BSepDYUoEaky9aWSWlF4ktpSiBKRGlGTn8RNoUnqSyFKROpATX5SLgUnaRwKUSLSAFRLJcUoOEljUogSkQajWipRaJJkUIgSkQanUJVuCkySXApRIpIwClXJp+Ak6aAQJSIJF/WErLBVfQpH0lwUokSkSRQ6wStclUZBScR3SpSFjDELjDEPGGOeNsYcMsZcbIxZaIzZZow57P18lbesMcZ8zhgzYIzpN8asrO5bEBGpxFSRW7PSPhGJIlKIAj4LPGqtXQ6cDxwCbgEet9b2AI97fwNcCfR4txuAL8a6xSIiNVMsTCQ1VKTxPYnUx5zNecaY04HfBq4HsNa+BLxkjHk7cJm32FeBHcDNwNuBv7PWWmCXV4t1prX22di3XkSk7hQ6RJpVlD5RS4GfAn9rjDkf2At8GOgMBKMRoNP7/SzgJ4HnD3n3zQpRxpgbcDVVACcg+zxwtJw3ISVZhPZzrWhf14b2c+1oX9eO9nVt/HolT44SolqAlcAfW2t3G2M+S67pDgBrrTXG2FJWbK29E7jT/9sYs8dau6qU15DSaT/XjvZ1bWg/1472de1oX9eGMWZPJc+P0idqCBiy1u72/n4AF6pGjTFnehtxJvCc9/gwcHbg+V3efSIiIiKpMWeIstaOAD8xxvhVXm8G/gN4CLjOu+864Nve7w8B7/Ou0lsNvKD+UCIiIpI2UceJ+mPg740xrwR+DLwfF8DuN8Z8APhP4J3esv8EvBUYACa8ZaO4c+5FJAbaz7WjfV0b2s+1o31dO9rXtVHRfjbuIjoRERERKUXUcaJEREREJKDuIcoYc4Ux5ofeCOe3zP0MKcYY87+MMc8ZYw4G7tPo8jEzxpxtjPmuMeY/jDH/boz5sHe/9nXMjDGnGmO+b4x5ytvXWe/+pcaY3d4+/QevuwHGmF/x/h7wHu+u5/YnjTHmFcaYfzPGPOL9rf1cBcaYQWPMAWPMfv8KMZUf8av2jCt1DVHGmFcAX8CNcv4bwLuNMb9Rz21KgXuAK0L3aXT5+E0DN1prfwNYDfyRd+xqX8fvF8CbrLXnAxcAV3gXrXwa+Gtr7TLgZ8AHvOU/APzMu/+vveUkug/jZqXwaT9XzxuttRcEhjJQ+RG/6s64Yq2t2w24GPhO4O9bgVvruU1puAHdwMHA3z8EzvR+PxP4off7l4F351tOt5L3+beBy7Wvq76f24F9wEW4gQhbvPtnyhLgO8DF3u8t3nKm3tuehBtuSJrHgTcBjwBG+7lq+3oQWBS6T+VHvPv4dOBI+LiMcz/Xuzmv0OjmEq9SR5eXEnjNGL8F7Eb7uiq8Jqb9uPHotgHPAMettdPeIsH9ObOvvcdfAM6o7RYn1h3AnwIve3+fgfZztVjgMWPMXuNm8ACVH3ELzrjyb8aYu4wxpxHjfq53iJIasy5e65LMmBhj5gEPAh+x1o4FH9O+jo+19pfW2gtwNSWvA5bXeZNSxxhzFfCctXZvvbelSayx1q7ENSH9kTHmt4MPqvyIhT/jyhettb8F/Jw8M65QwX6ud4jS6Oa1odHlq8AY04oLUH9vrf2md7f2dRVZa48D38U1Ky0wxvhj3QX358y+9h4/HXi+xpuaRJcAbzPGDAL34Zr0Pov2c1VYa4e9n88B38J9OVD5Ea+qz7hS7xD1A6DHu/rjlcB63IjnEi+NLh8zY4wB7gYOWWv/KvCQ9nXMjDGvNsYs8H5vw/U9O4QLU9d4i4X3tf8/uAZ4wvu2KUVYa2+11nZZa7txZfET1tr3oP0cO2PMacaY+f7vwFuAg6j8iJWtxYwrDdDx663Aj3B9HP57vbcn6TfgG8CzwBQuhX8A10/hceAwsB1Y6C1rcFdHPgMcAFbVe/uTcgPW4KqA+4H93u2t2tdV2de9wL95+/og8Ofe/ecA38fNjvCPwK9495/q/T3gPX5Ovd9D0m7AZcAj2s9V27/nAE95t3/3z30qP6qyry8A9njlxxbgVXHuZ41YLiIiIlKGejfniYiIiCSSQpSIiIhIGRSiRERERMqgECUiIiJSBoUoERERkTIoRImIiIiUQSFKREREpAwKUSIiIiJl+P82xR+WVK4NnwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(array_image, cmap=plt.cm.jet)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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