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vincentAgnus/RTStruct_mon_amour.ipynb

Last active November 12, 2019 21:56
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RTStructMultiPolygones
Raw
contrours1.txt
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(-34.013, -3.023), (-34.769, -2.267), (-34.769, -1.511), (-35.525, -0.756), (-36.281, 0.0), (-37.037, 0.0), (-37.793, 0.0), (-38.548, 0.0), (-39.304, 0.0), (-40.06, 0.0), (-40.816, -0.756), (-41.572, -0.756), (-42.328, -1.511), (-43.084, -2.267), (-43.084, -3.023), (-43.839, -3.779), (-44.595, -4.535), (-44.595, -5.291), (-44.595, -6.047), (-44.595, -6.802), (-44.595, -7.558), (-44.595, -8.314), (-43.839, -9.07), (-43.839, -9.826), (-43.084, -10.582), (-43.084, -11.338), (-42.328, -12.093), (-41.572, -12.849), (-40.816, -12.849), (-27.966, -111.867), (-54.421, -3.779), (-53.666, -4.535), (-52.91, -4.535), (-52.154, -4.535), (-51.398, -4.535), (-50.642, -4.535), (-49.886, -3.779), (-49.13, -3.023), (-48.375, -2.267), (-47.619, -1.511), (-47.619, -0.756), (-47.619, 0.0), (-47.619, 0.756), (-47.619, 1.512), (-47.619, 2.268), (-47.619, 3.024), (-48.375, 3.78), (-48.375, 4.535), (-49.13, 5.291), (-49.886, 6.047), (-50.642, 6.047), (-51.398, 6.047), (-52.154, 6.047), (-52.91, 6.047), (-53.666, 6.047), (-54.421, 5.291), (-55.177, 4.535), (-55.933, 3.78), (-55.933, 3.024), (-56.689, 2.268), (-56.689, 1.512), (-56.689, 0.756), (-56.689, 0.0), (-56.689, -0.756), (-56.689, -1.511), (-55.933, -2.267), (-55.933, -3.023), (-55.177, -3.779), (-54.421, -3.779), (-27.966, -111.867), (-88.435, 9.826), (-87.679, 9.071), (-86.923, 9.071), (-86.167, 9.071), (-85.412, 9.826), (-84.656, 10.582), (-84.656, 11.338), (-84.656, 12.094), (-84.656, 12.85), (-85.412, 13.606), (-86.167, 14.362), (-86.923, 15.117), (-87.679, 15.873), (-88.435, 16.629), (-89.191, 16.629), (-89.947, 17.385), (-90.703, 17.385), (-91.458, 17.385), (-92.214, 17.385), (-92.97, 16.629), (-93.726, 15.873), (-94.482, 15.117), (-94.482, 14.362), (-94.482, 13.606), (-94.482, 12.85), (-93.726, 12.094), (-92.97, 11.338), (-92.214, 11.338), (-91.458, 10.582), (-90.703, 10.582), (-89.947, 9.826), (-89.191, 9.826), (-88.435, 9.826), (-27.966, -111.867), (-36.281, 27.967), (-35.525, 27.211), (-34.769, 27.211), (-34.013, 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37.793), (-90.703, 37.037), (-90.703, 36.281), (-90.703, 35.526), (-91.458, 34.77), (-91.458, 34.014), (-91.458, 33.258), (-90.703, 32.502), (-90.703, 31.746), (-89.947, 30.99), (-89.191, 30.235), (-88.435, 30.235), (-87.679, 29.479), (-86.923, 29.479), (-86.167, 29.479), (-85.412, 29.479), (-84.656, 30.235), (-83.9, 30.235), (-83.144, 30.235), (-82.388, 29.479), (-81.632, 29.479), (-80.876, 29.479), (-80.121, 28.723), (-79.365, 28.723), (-78.609, 28.723), (-27.966, -111.867)], [(-89.191, -59.712), (-89.191, -58.957), (-89.191, -59.712)]
Raw
contrours2.txt
[[(-22.675, -111.867), (-21.92, -111.867), (-21.164, -111.867), (-20.408, -111.867), (-19.652, -111.867), (-18.896, -111.867), (-18.14, -111.867), (-17.384, -111.867), (-16.629, -111.867), (-15.873, -111.867), (-15.117, -111.111), (-14.361, -111.111), (-13.605, -111.111), (-12.849, -111.111), (-12.093, -111.111), (-11.338, -111.111), (-10.582, -110.355), (-9.826, -110.355), (-9.07, -110.355), (-8.314, -110.355), (-7.558, -110.355), (-6.802, -110.355), (-6.047, -109.599), (-5.291, -109.599), (-4.535, -109.599), (-3.779, -108.843), (-3.023, -108.843), (-2.267, -108.843), (-1.511, -108.087), (-0.756, -108.087), (0.0, -107.331), (0.756, -107.331), (1.512, -107.331), (2.268, -106.576), (3.024, -106.576), (3.78, -106.576), (4.535, -105.82), (5.291, -105.82), (6.047, -105.064), (6.803, -105.064), (7.559, -105.064), (8.315, -104.308), (9.071, -104.308), (9.826, -103.552), (10.582, -103.552), (11.338, -103.552), (12.094, -102.796), (12.85, -102.04), (13.606, -102.04), (14.362, -101.285), 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RTStruct_mon_amour.ipynb
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "RTStruct mon amour.ipynb",
"provenance": [],
"collapsed_sections": []
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "b3AjoLpUc4Kq",
"colab_type": "text"
},
"source": [
"# contourages"
]
},
{
"cell_type": "code",
"metadata": {
"id": "x5m_MXZxc9WQ",
"colab_type": "code",
"colab": {}
},
"source": [
"import urllib\n",
"import numpy as np\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"\n",
"matplotlib.rc('lines', linewidth=2, color='r')\n",
"url_data=\"https://gist.github.com/vincentAgnus/23e6d23c321afecc201ec362044533fa/raw/af8d6181399ca4407e4acea0a3331f2518a2c169/gistfile1.txt\"\n",
"file_data = urllib.request.urlopen(url_data)\n",
"raw = file_data.read()\n",
"pts = eval(raw)[0]\n",
"origin = ( min( [x for x,y in pts]), min( [y for x,y in pts]))\n",
"\n",
"pts = [ (x-origin[0],y-origin[1]) for x,y in pts ]\n",
"size = ( int(max( [x for x,y in pts]))+1, int(max( [y for x,y in pts]))+1)\n"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "t3mO7TAadBos",
"colab_type": "code",
"outputId": "389a73a0-744b-4b0a-a2c1-d465650adcfe",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 300
}
},
"source": [
"import matplotlib.pyplot as plt\n",
"#draw the line segment\n",
"print(len(pts))\n",
"plt.plot(*zip(*pts))"
],
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": [
"1878\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f5a40799c50>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 2
},
{
"output_type": "display_data",
"data": {
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WaAs980vtmq03NaQm0bpj3rAOmlaFL/9xhYxc7esxGpomLT/QtpURAH9cuENr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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "PrrlNiKGdHlD",
"colab_type": "code",
"outputId": "6f224946-08c0-4bf0-a552-47b8d6f84250",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
}
},
"source": [
"import collections\n",
"counter = collections.Counter(pts)\n",
"bridge = [ pt for pt,count in counter.items() if count>1]\n",
"plt.plot(*zip(*bridge),\"ro\")\n",
"plt.plot(*zip(*pts))"
],
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f5a4050fc18>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
},
{
"output_type": "display_data",
"data": {
"image/png": 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KxNxnC4LwInAZeEcUxUeAI3C+0DGRqn1PIAjCTGAmQNOmTSthRvFsvhhBpGp0IZMcQpXz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\nUTI1yrmxaUxLfhrakNC5PY3qxkFq4vGZsNU8tVAA1CzvxsWpXaze3+b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6n7nf6d7r0aw5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\nqKiovID8Px+St4GD9lO1AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "wHc5N7Z3hwgk",
"colab_type": "code",
"outputId": "7c4eb5d7-708a-41db-e935-7b1784c1f9a6",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
}
},
"source": [
"def clean_pathes(pts):\n",
" \"\"\" cut using x2 pts \"\"\"\n",
" import collections\n",
" counter = collections.Counter(pts)\n",
" bridges = [ pt for pt,count in counter.items() if count>1]\n",
" pathes = []\n",
" for start in bridges[::-1]:\n",
" idx1 = pts.index(start)\n",
" idx2 = pts[idx1+1:].index(start)+idx1\n",
" pathes.append(pts[idx1:idx2])\n",
" return pathes\n",
"\n",
"pathes = clean_pathes(pts)\n",
"\n",
"for p in pathes:\n",
" plt.plot(*zip(*p))"
],
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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vtPvKluXnsfrjdwHQtDB0UtH5CI0g8PYhoBVghaKP9mOpaiaK5Th8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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "a6a8uLuhfw66",
"colab_type": "code",
"colab": {}
},
"source": [
""
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "KfLkyaxilmwI",
"colab_type": "code",
"outputId": "ca3daaab-f60b-4de9-d6e4-2245dbe97339",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 286
}
},
"source": [
"### toplogical images\n",
"import numpy\n",
"import skimage\n",
"from skimage.draw import polygon\n",
"topo_img = numpy.zeros(size)\n",
"for p in pathes:\n",
" rr, cc = polygon(*zip(*p), size)\n",
" topo_img[rr,cc] += 1\n",
"\n",
"plt.imshow(topo_img)\n",
"plt.colorbar()"
],
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f5a2bd28828>"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
},
{
"output_type": "display_data",
"data": {
"image/png": 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Bv0mTrgNOJGlC7wQ+1eW8FZK2SNryPHtHrcZBbL3m9OgvDIKpkC/kfxmDORRhGZ4L/MD2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\nEAQA/H9LpX9LkyIRpAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "CDhhs7p2roGB",
"colab_type": "code",
"outputId": "98700dd4-6c4d-4c41-ffe4-d82aebea5d80",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 286
}
},
"source": [
"plt.imshow(topo_img%2==1)"
],
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f5a2bcadc18>"
]
},
"metadata": {
"tags": []
},
"execution_count": 6
},
{
"output_type": "display_data",
"data": {
"image/png": 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WB8By+jS/3KMws7mS6VFs2bTS6b5t2UvL91Ed86Dr5Wn1co9iCX1q+LPqUmdQDvnaHX2r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\nbC4HhZnN5aAws7n+H0H8cJ1wpbXMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "sdl1QU3Ks56E",
"colab_type": "text"
},
"source": [
"# BINGO !!!"
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "PMMWYc2FfeHg",
"colab": {}
},
"source": [
"url_data=\"https://gist.github.com/vincentAgnus/23e6d23c321afecc201ec362044533fa/raw/2a5a1862095a7bab91b8094cd4df4f3ee445e118/contrours2.txt\"\n",
"file_data = urllib.request.urlopen(url_data)\n",
"raw = file_data.read()\n",
"pts2 = eval(raw)[0]\n",
"origin2 = ( min( [x for x,y in pts2]), min( [y for x,y in pts2]))\n",
"\n",
"pts2 = [ (x-origin2[0],y-origin2[1]) for x,y in pts2 ]\n",
"size2 = ( int(max( [x for x,y in pts2]))+1, int(max( [y for x,y in pts2]))+1)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "lLkRURwyfy8Q",
"colab_type": "code",
"outputId": "9ef2fe6b-9e81-48dc-b325-757ab0388a81",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
}
},
"source": [
"pathes = clean_pathes(pts2)\n",
"\n",
"for p in pathes:\n",
" plt.plot(*zip(*p))\n",
"\n",
"import collections\n",
"counter = collections.Counter(pts2)\n",
"bridge = [ pt for pt,count in counter.items() if count>1]\n",
"plt.plot(*zip(*bridge),\"ro\")"
],
"execution_count": 8,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f5a2bc48f60>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 8
},
{
"output_type": "display_data",
"data": {
"image/png": 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IXZ1UPpvLSmgr6KRy7/njFZVBU0m4emLuV9Ksn1KA+2UMRP8NX9+tZulveUs5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\nGOv5KvTxUmXUbBTlzr0jcA/Q/aKwx7eEEDuEENuBbsBjxSG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IsskzFi6E+E0Isd/zN4/e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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "6a0oNkdpf4gp",
"colab_type": "code",
"outputId": "ef8a928b-a0ef-43d5-c2cd-7589e6ac9e00",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 286
}
},
"source": [
"### toplogical images\n",
"import numpy\n",
"import skimage\n",
"from skimage.draw import polygon\n",
"topo_img = numpy.zeros(size)\n",
"for p in pathes:\n",
" rr, cc = polygon(*zip(*p), size)\n",
" topo_img[rr,cc] += 1\n",
"\n",
"plt.imshow(topo_img)\n",
"plt.colorbar()"
],
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f5a2bb699e8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 9
},
{
"output_type": "display_data",
"data": {
"image/png": 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BXyO0Kk6kydx9OzBRdD9FppDcCZwf3z8f+H5q+6fjUdb3A79IdWtzsYlTazsO9/rSN/P6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\nEWk1hZyItJpCTkRaTSEnIq2mkBORVvv/9ZBKLCzF2SoAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "thVWwAiEgrhs",
"colab_type": "code",
"outputId": "2bd11114-379f-47c8-a417-46f587c64375",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
}
},
"source": [
"alone = [ pt for pt,count in counter.items() if count==1]\n",
"plt.plot(*zip(*alone))"
],
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f5a2bb59710>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 10
},
{
"output_type": "display_data",
"data": {
"image/png": 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U8c221A5z0QBcNTqYhNwyFu9I44WV8fwdn8t3N4/u8gLfInEXQiwGJgFeQoh0\n4EmMov6jEOJGIBW4xLT7CmAWkABUAteb2eZWMSjQjen9/fhsczL704qp1Rmw0fa48H6FokOorNVx\nrLCS3/dn8snGZGp05l/QlNI4K28NQR4OXD0mhJ0pRfXunI7CVmvF8xcOYka0P9d+toPtyYX8vCed\nS0YENX+wBWmRuEspLz/FpilN7CuBO9pjlLkZ1tuNzzbDr/sycXOw4anzB1jaJIWiy/PHgSweX3aw\nUaRZW7Lyg9wdeGRWP8J8GiczFVXWcvEHWymr0XHNZzu4bmwID82Mws7aqr2mdwhnR3hz3iB//jiQ\nxQNLDrA7pYgn5vTH0bZrJvp3TavMzOxBvTiaU86bfx3liy0pnB3hzeQoH0ubpVB0SQoranli2UGW\nmxKQgjzsCXCz597pkWZzfxzKKuXJZbGNxr7YksIXW1JYevtYhgW7m+U65uaty4YyMMCVF1bG88Ou\nNOysNTw9N9rSZjXJGSHuADdNCGXj0Tz2HCvm+i92cvR/M0/btV2hOBPZlVLIbd/sJr+8FgcbKx6Z\n1Y8rRwWbpZBWcWUt7/6dQEpBJesP51Knl9hYaer98Me58L0tzIz2490rhqHpYn5tK43gtrP7Ul2n\n5421R/lyayrDerszd0iApU07iTNG3J3trPn6xlEMeHI1YPwCvXrJYCJ8nS1smULRNdDpDTy0NIb8\n8loC3e357qbRBHu2vWtSaXUdL686zJbEfADyymoobdBn4arRwdw/PYrVsdlklVRTWafjw3+MKf8r\nD2bT55EV/HP/JHqbKr12JW6d2JddKUVsSsjnvp/2M6WfL05dzD1zRk1dHW21fHfzKALc7InJKGH2\nW5s4kF5sabMUii7Bnd/vJSHX2DbvjUuHtEvYNx7NY8brG/h6WyqJeRUk5lVQWq1jRG933r58KH/c\nOZ5n5w3E1cGaS84K4q6p4Tw8sx+Hn51BZIMJ19kvr+f5lYfa/bOZG3sbK964bAg2Vhrq9JIL3t2M\noYMXdlvLGSXuAGP7erFq4QQC3Oyp1Rt48OcYSiq7ft0LhaKj2XvMONH54KphjGiHb31fWjFXf7qD\nzJJqBge6suS2May9ZyLr75vET7eNYc7gXgzo1XTTDlutFavvnsgn14yoH/vwnyRCHvrjlCVE9h4r\nrr8pdSZeTrb89t9xABzNLefTTcmdbsPpOOPEHYwummfnRWOr1XAoq5Tpb/zD34dPnfKsUPRk9AbJ\nh/8kkltmLJI1tJ2LmZnFVQCMDPXg5/+MZUSIB2E+zoR4ObbYdz+1vy/xi2Zg3yByZtiiNfW9WAH6\n+Rln+BnFVdz9w7522dxWovBaM0gAACAASURBVPxcuNrUOvB/Kw6xK6X5+jmdRddyEnUik6N8WHnX\nBO79aT97jxVz/ec7uXREEI/N7oezXfepH6FQtBaDQbJ45zE2Jxh94Sn5lcRllQJGP7iPs61ZruPp\naIO2HUELdtZWHFo0g+93HOOhpTEAPLEslq2JBdw9LYLrPttRv+/VFuzNumheNEn55WxOKKi/QXYF\nzlhxB+jj7cSS28by8cYkXvvzCD/sSmNTQj5L/jNGlSlQ9Di2Jhbw2prDZBZXk2GaXR/H18WWFy4a\nxORI84UIF5TXUqc3tDsq7bKRwcyM9mfwM38CxjDKlTHZZJZU4+Vkw+KbRxPewsCI6jo976xL4M+4\nbE50kfu62PLwzH5t6vPq42wsl/DAkgN4O9t2aMZsSxFdoYn0iBEj5K5duyxqw9GcMma9tZE6vWTO\n4F68eemQLheGpVC0hcpaHS+tOswXW1Lqx7ycbFg4NQJ3Bxu0VoIxfT1xMdMT6/60Yua9txkpYWCA\nK4/P7k+guz293No/YYrLLMXVwRqDQXLOq+vRGSSrF05sUdTbgfRi7v1xP0dP45/XagR3TA7jjslh\nrcpkL6yo5YL3NpNaUEmkrzPLFozrlGQsIcRuKeWIJrcpcf+XTzcls2h5HACj+3jwysWDCXRve8SA\nQtEVWPDdHpYfyKoXrtmD/AnycOhQ8dmckM8DSw40ekK4aFgg50T5MDTYzSxC/8Syg3y1NZVzB/jy\n4dVN6hsAtToDb687ynvrjZUnQ70cefr8Afg3KE4mge+2H6u/Ad4wLpQn5vRvlT1bEvK5+rMd6A2S\neUN68cZlQ9vyY7WK04n7GbmgeipuHB/KB1cNx9lWy7YkYzKHQtHdSSsyCuw7Vwzj7mkRhPs6d/is\nclyYMSrt2jG9CfdxwkZrbNpxx3d7OOfV9Xy2KbndoYMLJodhZ61hdWwO+9OaDmmOyyxl7rubeXtd\nAgYpuWFcKCvunMDECO/6Bt/hvs5E+Drz1PkDWDTXWJokraiy1faMDfPiLZOgHyts/fHm5oz2uTfF\njGg/PJ1suPiDrRzMKOX5lYd4eGY/S5ulULQbX5fmF0rXxefw697MRsW4nO20hPk4EWESQV8XW4QQ\n7E4t4tttqdTqDcyI9uO8gf6NomGc7azrU/MTcsv5eEMSaUWVbEks4JnlcayOzebja0e02R3k42LH\ndWND+eCfRF758zBf3ziq0fYvt6SwaHkcOoMk2MOBl+cPYlQfz9Oe09WhfbXhgzyMTyT70op5Y+0R\nFk6NaNf52oMS9yYY0dude6dF8OqaI3z4TxILp0Rgb9M1ixkpFC0lp/TUkRwllXU8vTyWpXtOar1w\nEi52Wnxc7EjKK69flFx+IIvlA7J49oJovJxOvomE+Tjx4vxBAPwZm82DPx9ge3IhWxLymRHd9i6c\nt53dh2+3pbLxaD5bEvMZ29cLgKKKWp78zVi75sJhASyaG33aAl9SShbvSON/fxjdsm3tuBTdy5UF\nk8N45+8E3vrrKHeeE26xtTvllmkCIQT/nRKOo0nQ9V1gXUKhaCvHuxot+G4Pr685wtGcskavVQez\nmf7GPyzdk4GtVsN90yN454qhvHPFULRNCFNptY6EXKOw3zwhlEdmReFkq2VVbDYz39xIceXp+xVP\nH+DHmL7GGXR7W6K6Odhwy8Q+ALyy+jBSSsprdMx6ayNgfOp4/sKBzVZufGZ5HI/8EkNFrZ5ZA/14\ndFbbntY1GsF950YiBCdF43Q2aubeApbty+DKUZaLo1Uo2sPL8wfh7WTLF1tSePOvo7z519Em9xsa\n7MYrFw+mr7exNO+qg1nomlEoaysN148LZdZAf8a/+Dd5ZTUsWn6IFy4a2GmF+a4fH8oXW1LYc6yY\ndfG59PZ0IKukGg9HG365fSy22uafuvekFgHw1Jz+XNdDGvqomftpON9U6e3RXw6y2/Sfr1B0Nxxs\ntDx1/gAW3zyas0LcCfNxavSK8nPm4ZlRLLltLH29nais1XHn4r3c9s0ewFjHPOm5WSQ/b3zFL5rB\nrabZ8nvrE/lkYzKB7g48PDMKgJ/3pHPBe5s5nF3WpD1r4nLYlmTM5DSH/jvZarl9chgAL68+XD9j\ndnewbnXRsSFmKjVsZVp7eOXPwxarOaNm7qfhuQuiScmvYGtSAaVVZ3b9GZ3ewDfbUtmZWoSrvTW3\nTezbrsJSis5nTF9Pfuo7ttn9PtqQxG/7MwF4+vwBXD26dyO/sZ21FQ/P6kdJVR3f70zjpdXxRAe4\ncOvZfRkY4Mr9Sw5wMKOUOW9vYnKUd6Ms1ZLKOjaZMmNHhnowNszLLD/blaOC+WRjEvHZZfV16C3J\nXVPCeX3tEd5bn8i0/r7tLunQFpS4nwYhBLbWZ+bDjcEg+WKLsfelzmCgvFpHZkl1/fZf9mQQ7OHA\nxAgv7p4WgYON+ir1BFYdzOaNtUa3zbVjenPt2JBT7vvAjCh2pxZxNLec+37az8YHzmFsmBer757I\n//44xOIdx1gdm3PScbZaDQ/MiOL6sSFmW2y0s7birinhPLQ0hk83JpnlnO3hv1PC2Xg0nx0phaQV\nVSlx78ocSC9hUqS3WZoWdHVSCyq4/6cD7DihCJKfix13TglnS2I+yw9kcTinjMM5ZayJy+Hliwd3\niZRrRftYEWOc9c4a6McDM6JOu6+How3vXjmM6a9vIKe0hhu+2Mk3N43Cyda4iHnlqGCS8ytOOm5Y\nb3cCzJDEdCIXDQ/kww1JTV7TEgR62LMjBe7+YR9u9tZMjPDu1Ou3WdyFEJHADw2G+gBPAG7AzUCe\nafwRKeWKNltoYYYGubP+cB6vrz2Cj4stl48MtrRJHYbBIPl2eyrPrYinqk6Pl5MtT53fn3AfY2p3\nb09jVuMVo4J5cEYlaYWVPLM8jvjsMi75cCs3jgvlvnMju2wPTEXLOXeAX4t6g0b4OvPdTaO44pPt\n7EptPBmIDnBtU52WtmJtpeHuaRHcuXhvq47bc6yoQ5KOnrtgICWVdfwVn8v+tOJOF/c2+xyklIel\nlEOklEOA4UAl8Itp8+vHt3VnYQe4c0oY14wxRsqkFlg+66yjSC+q5KpPt/P4sliq6vScP7gXa+6e\nyOxBvYj0cybSr3FWY5CHA2PDvFi2YBwLJoehEYJPNiUz662NxGWWWvAnUbQHK5Ob5OutqeSUVjez\ntxFLuBxOxeyB/kT5tby7mt4guebTHRRV1hHl50z4CU2824OdtRX9/F0AY3mDzsZcDuUpQKKUMtVM\n5+syCCEI9jAuHH67PZV18Sf7ELszUkq+33GMGW9sZEtiAR6ONrx/5TDeunwo7o7NZ+vZaq2479xI\nlv5nLN7OtiTlVbBg8R66Qs0iReu5anQwNlYadqUW8fTvsc0f0MXQaAT3nxsJgFODzNdanYHskmoO\nZpTwz5E8lu5J5+MNSbyw8hDlNTqsNIJlC8a16GmlNRwvPvb55mQ2Hc0367mbwyyFw4QQnwF7pJTv\nCCGeAq4DSoFdwL1SypPiCIUQtwC3AAQHBw9PTe2694WSyjqu+GQbsZmluDlYs+3hKT3C9ZBVUsWD\nP8ew4YjRgzZjgN8pMwxbwv60Yua+uxkwZgW+dskQs9naHSiprOOl1fFNhs2G+TjxyKx+ZimY1dF8\nsy2Vx349CBgXVR+cGXXaBfOqWj39nlgFUD9rttII5gzuxU3jQ9tV0/1USCkpqaojv7yWgvIaCiqM\n/+aX17I9uaA+1LKl+LrYsv2RqWa3s6C8hju/38vmhAImRXrzxfUjzXr+Dq0KKYSwATKBAVLKHCGE\nL5CP8UlkEeAvpbzhdOfoKlUhT0dqQQWTXlmPlDC8tzs//6f5kLKuipSSn/dk8PTvsZRV63C1t+aZ\nuQM4f3Cvdi8YL9mdzn0/7QfgtwXjGBToZg6TuzzrD+fy4M8HTpviD2BvbcW1Y0OYPzyQlv6qA93t\nW5SIYy70Bsk76xJ4e93R+iQmLycb7p0eychQ46K5v6tdveDrDZKJL/19Uo14ACHgVD+mm4MNd0+L\n4KpRwQghqK7Tk19eQ0F5LQUVNSbh/le8G24rKK9tNsGqNUT5ObNq4USzna8h/xzJ49rPdjAh3Ouk\n+jftpaPFfS5wh5RyehPbQoDlUsro052jO4g7wO7UIi56fwsAb142xCxi2NnkllXzyNIY1h4ythWc\n2s+H5y4YiI+LXTNHtgwpJfPe3cz+9BKsrQTr7p1EkEfPjYevqNGxaHkc3+9MA4xZno/M6odTg8f7\nOr2B9/5OZHVcNm35c/NzseP5iwaatZFGS4jNLOHhpTEcSC85aZuLnZan5w5g3pAAhBBU1OgaLUqm\nFlSyaHlck4LfGTjaWHHr2X3RWgk0QiAllFTVUVxZS1FlLUWVxvd5ZTUUmXoov3PFUGYP6mV2W7qz\nuH8PrJZSfm767C+lzDK9vxsYJaW87HTn6C7iDv/WxgY4d4AvL1882GxNDjqCgvIaftmbQVWtnhqd\ngW+2p1JcWYeznZYn5wzgomEBZr9BVdXqmfPOJhJyy/nx1jH1s72eyKO/xPDt9mMAPDQzipsn9Klf\nlDwRvUGyP72YF1bGk9/CdmwVtbr6p4FLRwTxzLwBnTqLB6Pdv+/P5OONSeSV1ZzUSu6WiX2o1Rnq\nXSP1s+uK2lbfzPxc7PBytsHT0RZPJxu8nGzxdLTBwVbLP4dzqa4z1CdBnYiPsy3+bvbcNSWMc6J8\nW3zNW7/eVR+Pf94gf168aFCjm3N76ZbiLoRwBI4BfaSUJaaxr4EhGN0yKcCtx8X+VHQncZdS8uOu\nNB782djT8cbxoTw+u3VF/Tsand7AV1tT2ZtWzJaEfApO6Bo/McKbFy8a2KGtBK/4eBtbEguI8nPm\n0+vO6pC4Zkvz694MFpoaM983PYIF54Sb/Rp6g+TjjUm8sDIegMfO68dNE/qY7fx1egOFTbg8mvJl\nF1TUUF3Xukpfbg7W9QLt5WQU7H+F2wYp4fW1RziSY+yONDnSm+cvHISfqx1SSn7bn8k6UyhhSoNo\ntbNC3PFosOA/MtSTa8f0bpN/X0rJt9uP1a8z/GdSXx5sJsa/NWxNLODyj7eh1QgentWPG8ebr3aN\n6sTUAby8Op53/04EYOHUcO6YHNZphZJOxbr4HN77O5HM4qpG2aQjQz0YaUowivJ3PqnudkdwIL2Y\nO77bQ1phFQ/NjOK2s/u26TyHskp5cVU82SXVRPo58/DMfvi5mseF1F6mvLqexLwKZg/y5+X5gzu0\nLPQ9P+5j6Z4MhIAvrh/J2aeImZZSUlqlI98k0gXlNeSfMKNuKNzFla0rq2FnrakX6/0N3DWPndev\nkXh7Odng7mjTor+J4yL+xLJYSqrqcLLVEuhuT43O0CghKdzHiXMH+DE02I1zonzM/h3+3x9xfLwx\nGYD7z43k1ol9zLIYrNMbWLQ8ji+3puJkq+Xg0+e2+5zHOZ24qwzVNvLfc8Ipr9bx5dZU3lh7lDVx\nObx6yWCi/Fw63ZbS6joW/R7HT7vT68cC3OxZcE4YAW72jA/z6vSa0oMC3Zg9qBfvm1qbtYbiylqe\n+T2O5TFZ1Or+nSnGZ5exbF8mjjbGRcm7poZ3uouiIcd/rHumdWy9/+o6PbdM7MOGI3nkl9dy05c7\nuXd6ZL1gnyjedfqW/741wphpevKs2ijgnqZxL9O4g40VQgheXh1fL+6vXTKYC4cFtvnnE0Iwd0gA\no/t48vDSGNbF5xJvKjrmbKflrinhplIX3h0apXbPtEgqa/V8u/0YL68+zN5jxXxy7anb97UUrZWG\nB2dG8eXW1Fb/LbTrup12pR6GnbUVT8+N5txoPx5YcoDYTGOhpIVTI/jP2X07VUxv+mIXO1IKsbHS\ncO/0CCZGeNPH29GiwtdW/o43Rp0c9+taWwkuPSuIi4YF8u7fiaw9lENFrZ731ieyLj6XVy8ZzIBe\nnZcFeZwtifnktdBvfiIGg6S4qo788pp/3SH1ESGN3SEF5bWU1egaHV+nl/VumqZwstXi5WQSZpNA\neznZNBZr0zY3B5tTrhGcjp0pxnDP4yGP5sDXxY5Prx1BSkElVbV6wNjZyLmT1rTsbaz43wUDGdPX\nkwXf7WXtoRzWxee0yn/flVDi3k7G9vVi1cKJPLfiEN+Z7viB7vbMNZUL7mi+3ppSXwPm8+vPYpyZ\nquxZgtzSam78cicGaeyG9dL8QfT2dKwXn0+uHYFOb2BvWjH3/bSf+Owy5r+/lUOLZnSajZW1Ol5c\nGc+XW415GYOD3Ah0d6CyVkd+WW0jd0hT4Xv55bUUVtS0qpGDViPwdLKhvFpHhUn0wLiA28iXbRLs\nzsjBOG+gPztTCtEbjElwV48JMct5hRCEerWuTK+5OW+gP9+HpbEpIZ+bvtzF1oen4GuuaLJOzFVV\n4m4GnGy1PHfBQHR6Az/uSm+1H7OtpBZU8PgyYxbhpSOCGNv39P0hLUVD18rpKK3WYZDGuO4fbh3T\n5IxSa6XhrBAP/rhzAtFPrqaqTs+di/fy2iWDzZoso9MbKKysJb/sX2FedTCbVbHZjfbLKalm8NN/\nUlWnP8WZmsbV3rp+Bu3VwB3i6WSL1wnuEBd7bb1/+WBGCbPf3kQfb8c2r2OYg2vHhpCUV86XW1M7\n7fveWQgh+PKGkUx65W/SCqsoq65rt7hbaQQaAdV1Bu7+YR8vzx/UIcldDVHibkaOz5jyy9v2uN4a\nskqquPiDrYDRv368P2VXwtnO+PV69+8EQrwcuGBoy/yyNlpNs66ChqFqv+3P5P5zI08bTy+lpKxG\nR37ZCREgjWbV/24raqFgZZvqr9hqNf8K9YnukBN82e4ONvVp6a2l/AQXjaVYvOMY35hCQI//P/ck\nrDQCGzOKr63WiucvHMgTy2L5ZW8Gt0zsU193pqPoef8rFuR4avnb6xLwcrI9bS3s9rIjuZDcshp6\nezrwyTXtX/TpCG4YF0pCTjlL92bw277MFot7cWUdaYWVpxXrhin+N44PJSGvnO3Jhad0hxSU11Lb\nioadQoCHg81JYaQAz8wdgJ+LXQPxtsXRtNDYkRzMKOHaz3YAWCy0tLiyluzSap5cFoveIJnaz5fL\nR/W8SqnpRZVmfyK59KxgvtqaSmxmaacsrCpxNyM3T+hDbmkNn21OZkdKYYeK+/EI1iFBboT7trwK\nXmdiZ23FnMG9WLo3gyM55RzOLiPyNBX7/Fzt8HG2JbeshhlvbGDBOeE42FjVh/Ml5hoF/EQ+3ZTM\np5uSm7XH0caq0YLi6dwh7g42JOdXMOONDegMkjAfJ169eDCDgyxXTiEmo4QanYFhwW68c8WwTrtu\nSVUdO5ML2ZdWzAf/JNan/TvbaXl2XnS3XLg/HbU6A3Pe3kRRZR3ezrZm87d3NkrczYiVRjAixJ3P\nNiezPamALYn5jO3bfRc4zcHAQFeCPOxJK6xiztubuHd6BLdM7NPkLNfJVsuKuybw+K8HWXkwmxdX\nnToi5DgudloC3B3waip8r6F4O9q2Olwxs7gKnUHS39+FpbePtWixuOT8ivoSB1H+Lrjad2wEiU5v\n4Lf9maQWVPLt9mONXI29PR3o7+/CY7P7d5mcA3NRVavnqd9i691yK++aYNZonePuxg/+SeSl+YM6\ntIOZEnczM66vF/38XTiUVcr1n+8k7pkZbQo1a47WuBgsiZeTLSvv+jea6PmV8YwM9ThlDXAvJ1ve\nu3IYf8Rk8WdsDpW1uvo6OCcyMsSDIA8HgjzsCXJ3qH/v62xn1lBUTyfzRqDU6PR8vjmFQ1ktq3uv\nN0jWHsqhus6Aj7Mtl44IMpstTZGYV869P+5nX1px/diAXi6Eejly5ajejOmiC/ftZXdqIff9dIDk\n/AqsNIKHZ0a1uULqqbhxfCgP/nyA5QeyGNvXiys60KWlxN3MuDpYs/jmUQx5Zg01OgOXfbSVl+cP\nJsSM4V1bEvJ57BdjqnR3WMw6Hk20J7WI+Owyrvt8J7/cPpY+3k03RhBCMHtQL2YP6oWUktfXHuWt\nv4x9PXu52pFdWo1Bwo6UwpNaAQLYWGkIcLcn0N2eQPcTxN/dHg9HG4sUfEvILeORXw6SVlhJVknL\nGmE0ZN6QXjx1/gDcHJqvs9+Q41VAv9mW2qLIpcS8cmp0Bvxc7Jg3NIAIXyfmDQno9ES4jiYmvYSX\nVsdTUF6LBA5nl2KQEOHrxKsXD2FgoPnzJ+YOCWDvsWK+2JJCdSsjrFpL11eGboibgw2fX3cWD/x8\ngJ0pRcx8cyO/3DHWbNmrBzNL6mfuHVkfxtx8ePVwZr+1iZKqOp76PY7Przur2acaIQT3TIvgnmkR\n9WO1OgNZJVWkFVaRVmRs95dWVEVaYSXpRZXkl9eSnF9xyl6ajjZW9aIf2ED0jTN/B7MWjWrI6tgc\ndpjWDEI8HfjPpL4t9lcHedgzvHfrCrDtTyvmsV8PEp9d2qqsVYD5wwN5fHb/Dnf/WIJPNibxyp+H\nT6qToxFw+6S+Fs98NhdK3DuIyVE+rLl7IlNf20B+eQ0PL43h25tGmcXHduP4PqQXVfHV1lSO5JSZ\nwdrOobenI0/M6c/9Sw6w4Uger685wn2mrjmtwUarobenI709m34aqqzVkW4S+4bCn1ZURXphJWU1\nuvrm3k3h7mBNkIdD/c1h49F81h/OJcjDgQA3+za7aI7XcTonyocPrhre5nDI5qjTG3hz7VHe/+ff\n0g8ejjY8OCOyRdm8rvbWPbZM86GsUp7941D95xvGhXLhMGPCYWcvnm48msf8EYEdVlVWiXsH4uZg\nw7PzBnDbN3vYe8xY6vWZuactbd8irDSCYcHufLW163avOhUXjwiioKKWF1bGk1zQMV3qHWy0RPg6\nE9FEFNHxDj7HZ/3pRZWNngDSi6ooqqyjqLJxDfPrPt9Z/97XxbaRmyfQw8H02R5/V/tmn0ai/Jw7\nTNgBPtmYzDt/JwBGH+/CqeE42mh7nFulLTQMJf31jnF4O5vXp94SzonyYfGOY/x9OI8XVsbz3AUD\nO+Q6Stw7mBnR/tw9NYLX1x7hq62pRPg6c6Wp84w5qOsmC6sNCTHNuNfG5fDppmSuHxvSacIjhMDN\nwVhTpSmfqsEgyS+vIa3IGCWydE8GAGP6eJJWZPSV55TWkFNaw64m2ulpNYJebvaN/PyBJpdPabUx\nAem7HccYGerBpA5ovrHpaD4vrTZGGV06IqjLlaO2NMdj11fcOQFXB8u4nCZGePO/CwZy30/7Ka48\nOY/CXChx7wRunhjKkdwy/jiQxWO/HuTv+Fw+uXZEuwT++ELqiphsHl4aw6Pn9eswX7G5mRTpzYXD\nAli6J4NFy+NYF5/Dl9eP7PB07Jag0Qh8XOzwcbFDI0S9uIf7OrH4ltHo9AaySqpNbh7jrD+96F/X\nT25ZDccKK01diQqavEZxZR3Xfb6Ty0cG0cfLqZHvv70+7o82JiGl8Wb0wIzWu7zOFOxsLPtds++E\nsNruoQbdHAcbLe9eMYyZ0Zks+G4vf8Xn8mdcDucO8GvzOSdH+nD/uZG8sfYIi3ccY3tSASsXTugW\nC0F21la8dskQZkb7c/NXu9icUMDSvRlc0sEhfq1lSJAbT58/gCd/i+WnXek8MzcarZWmfuG1Karr\n9EZ/f1El6Y38/cYbQUnVv1mPi3eknXS8i53W5O4xRfk0eB/o7tCsv19vMD7J3TE5DE8zh/EpzM+x\nwkpKq+s6xO+uxL0TmT2oF0t2p7P+cB63fbObG8eFct+5kW1aoNNoBHdMDmNKPx9mvLGRpPwK3vs7\nkbumhHcb3+q0/r6cN9CfP2KyeGDJAQ6kFzMpwodBQa74OFs+OUYIwSUjgnjyt1hqdHrWxOUwrf/p\ny7/aWVsR5uNEmE/TYZ6l1XUs3Z3OU7/HAXDtmN4NIn2qKK3WEZtZSmxm0zHw3s629ZE9ge4NQzwd\n8Hez/O+sIUdzykht0D3pOIMCXc3Ws7e7EuHrhK1Ww8GMUm74fCdL/jPW7NdQnZg6mVqdgbf++jeS\noY+3I69ePPiUST0tYdHyuPr0+7F9PZkQ7s3Yvp4WTZVvKXV6Ax+sT+StdUfrw/Ucbay4blwIAW4O\nXDgswKKZoVJKrv9iJ+sP5yEE/HPfZII92xdJIqUk9OEVAKS8cF6j8YKK2pNCO48v+GYUVdWn/jeF\nlUY0qlly84RQ+vdyqb8BeDvZdsqNv6pWz4ur4vliS0qT2x1MzVac7bTYWGk4b5B/p4X0Rj62khqd\ngQWTw7hnWoRFJ0L70oqZ9+5mvJxs2fXY1DadQ7XZ64LsTyvm3p/2k5BbjkbAwqkR3Dml7T04V8QY\n/fmFpkJXQsBN40O5d3rbngw6m7jMUj7ckEhaYSV7jv2bGRnq5cjQYDcmRfowZ1DHtwdsCoNBMv2N\nDSTklvP7gvHtTm45lbg3h94gyS6tbhTimd7A5ZNTVn3ahtQ2Wk2D2X7jWX+Qhz2u9tbt/v0m5JZx\n81e767M8x4d5oW0goMVVdY2KvoFx/WhKlA+a01zbzsaKa8b0bneuyJtrj/LGX0eQEpbcNoYRIZZr\n3p5bVs3I//3VYeLebreMECIFKAP0gE5KOUII4QH8AIRgbJJ9iZTy5NCCM5jBQW4s/+94Xl9zhA83\nJPHamiPMHx5YX1mytcwa6M/IUA++33GMtMIqluxJ5+ONyfy2P5NAdweuHBXMBUMDLCKOLaF/Lxfe\nvGwoUkrWHspld2oRaw/lkJBbTnJ+BUv3GCtLPndhdKe7bDQagZ215Rd7rTSCADd7AtzsGd3n5BIA\nNTo9GUVV3PvTfvY2uEH293chu7SawopakvIqSMprOgTV2VZLgHtjP3/Dsg4tydH4fkcayfkVhPk4\n8folTWd5ro3LqY80OpRVyj9H8vh1X2az5/5pVxoLp0a0q7fpXVPD2Z5cwJbEAjKKq+ia9VTNg7l8\n7pOllPkNPj8E/CWlfEEI8ZDp84NmulaPwc7aiodn9WP5gSwyiquY+eZGFs2LbvMM1cvJlgXnGGf/\nV4wKrn8yyCmtYXdqRFsT3wAAIABJREFUEUdyynlopvm6uncEQgim9fdlWn9fFk4NZ/3hXFILKnln\nXQJrD+Ww6/VCnpnb9t9RT8ZWa0UfbycW3zyaF1b+6xYRAr67eRSB7g7/unlOjPYxJXfFZ5fV9y9t\nisFBbv9m8za4AfRys8dGq6l3G10xMviUTzhT+/sy1bR2IaVka2JBs+UYdqYU8v3ONFNv0yI+ufas\nNvyGjByfQN37437cHWyYeIpm492ddrtlTDP3EQ3FXQhxGJgkpcwSQvgD66WUp4zLOhPdMg3JKqni\nwZ9j2HAkD4BZA/1YNDe63dEOdXoDR3LK+GlXev0fujncCpYgs7iKB38+wMajxq/ZrIF+PDtvIB6O\nrauz0lZmv72RgxmlFnXLtJatiQXcv2Q/6UVVWFuJ0856pZQUVdZxKKuU277efVLf1uYQAvxd7Mg0\nibSLnZYn5gyovxH4uti1u4De2rgcbvpqF862WmKePrfN56mq1bPguz38FZ/LXVPCubtBaYvOQkrJ\n19tSeWJZbNd1ywAS+FMIIYEPpZQfAb5SyizT9mzgpBADIcQtwC0AwcE9r9h/a/B3tefL68/i+51p\nPLs8jhUx2WxPKuR/F0QzI9q/zee1ttIwoJcrQdMd2Hg0j8S8Cua9t5mrRgUT6uXInMG9zBIul5Bb\nzrr4HE6VT2WlgXOifE8ZQdISernZ89UNI/l+ZxpPLotlRUw21XUGPruu7TO4ns6Yvp4n9ff9My6H\nGacIwdUbDHy3/RhlNTqsrUSjcr7FlXWUVesY3tudK0cFn5TVm1VSVS/sYGyZeN9P++s/W1sZXUrG\nKJ+2FXMbbapGWV6r46MNidw4vk+bbhgZxVWmPARO6+fvSLYmFfCEqUXmrIFtD4k+HeaYuQdIKTOE\nED7AGuC/wG9SSrcG+xRJKU8ZDnKmz9wbkl5UyQNLDrAl0ZgAc/7gXjx9/gDc2zlDrarV89LqeD7f\nnFI/5uVkw8RwbxDg52LHrRP7Nsra255UwNI9GdQZTp0FW6eXrD6Y3WwJYhsrDedG+xHp68Qdk8Pa\n5VJZti+Du77fB8Djs/tz4/jQNp+rpVzw3mb2HitmSJAbH18zol1p6501c2/IhiN5PPjzgRZVoxwU\n6MqrFw9u1ATm/fWJvLgqnhvHhzaZ9VqrM/D1tlQWLTeGeLraW/P/9s47Pqoq7ePfMyWV9AQCAVKo\ngVBFOoiKUhRREXTtBXVd9X117euua9l1LaCvuyquhRVdESuKooJSBBTpBAJJqOmN9J5p5/1jbsYJ\nJAGSmcwknu/nM5/ce+bmzjNnZn7n3Oc+53mmDoxqksytNQJ89E3i+R2pHbS2xpzqf/0yxVGc/JzY\nMN684ZyznqDM+dcW9udWEBZg5NO7JtKvheyk7mT1vnzuXr6baYOi+M/N57b59+DWmbuUMlf7WySE\nWAmMBQqFED2d3DLNJ+RWnELvsAD+e9s4PtiWybPfpLEqOY/Nh0/QNyKQS4f15NbJ8W2arfj76Pnr\nnKFcMqwn69KK2JVRxvaMUj7fk+s4ZsWObEf5NqtNcvAM840DXDq8JzFhzd8Mzi2r4+t9+XyVnMdX\nwODoYIfPtS1cOrwXuzPLWLY1kxc0wXE3j81K5Oo3t7I3u5xFa9K9smZta0wdGMWa+6eyfFsWZa0s\neY8ND2TBmN6nuG66aSui3/05gwAfPfdeMKBJfhyblLz8/SEARvQO4f2F45oszHFO5pZz0sKu7LJa\nqupbT+YWGmB0iP+gHkGkF1axK7OMez/cw9Kbzz2jiLCyGhN/XXWA/bn2vEGvXTfaI8LuTIAbyzO2\na+YuhAgEdFLKKm37e+Bp4EKgxOmGariU8uGWzqNm7s2TWVLDQ5/sa5KzfFTfUBbNH9HuL6XNJvnx\n8Al7LmspWbEj+5QQNYNOcNuUeAZ0b7k0XnmtiRU7sskrr8PWzHfJ36jntsnxxEYEcu+HexztQX4G\nnrpsKFeOPrO6qidjttoY8Pi3GHSCI8/ObtM5zpbXNx7hhe/SAXhyzhBuntS2QcUTM/f2YrLYeP67\nNJb+dBwp7cnPnrk8iehgP3LL6/jLFykcLqpGCPjpkQvOOurrRFUDOzNKHYKfW16H1SbJKbMPBg2n\nyUN/44RY/nLpEOrNVhosNurNVkdY6Or9+by56RiVdWYsNom/Uc+fLknkehfmeDpbGmfus4dF8/p1\n57T5PO6cufcAVmodZACWSym/E0LsAD4WQtwGZAIL2vk6v0liIwJZccd4DhdVc6Somqe/PsCerHJm\nv7KZh2YM4tZJ8W1ehKHTCc53Slw1b3RvDhVVNSnm0CPYr9UUqOtSC3n+uzROVDW0eEy92caitfYZ\nnb9RT73F/qOrqrewPq2ozeLuCe6c2o8DeZWs3pfPs9+kcd6g7sS7sAiLN+Nj0PGXS4cwY2g0D32a\nTFpBFfPf2NrkmISoQBbNH0HPED8aLFbqzTYanMS23myj3mKlwazta8d8uz+fdWnNX9z7GHREdfMl\nNMDI4aLqFouNvLc184yypE5IiOC5ecNaTBfdlWiXuEspjwEjmmkvwT57V7QTnU4wKDqIQdFBTO4f\nyVNfH+Dz3bn8bXUqaw8UckFid86NC+ec2LavcG18nTNdIFJvtvLnL1L4dFcOAGNiw3hu3jBiQk9d\nubkjo5RFa9PJK69vUocTaLK45WyQUvKaltK2I2+I6XWCx2cnsjOjlMLKBma9solHZg7mpgkdl9Xy\nbLHZJCark7g2EVsr9Ra7ANdrbaeIsfO+9rd7kG+zaQXyyuu49q1faLDYWl1MdTaYLDZyy+0z+dOh\nE/bwYj+jHl+DzuG+DAvw4Y8XD2RCQoRXLOgrqW5g+Xb7QOTOKweVW6YTERJgdCTceuzz/U3KzN04\nIZZHZw12a8HdRt7cdMwh7H++JJFbJrV8H2DqwCimDozCapO8vzWDTYeLkVJi1Ou4aWJcm14/raCK\n//vBXnbP14150ZujV6g/a+6bylNfHWTlnlye+uogX+7NY3B0EFeO7s3Y+JZXPFptkrzyOh7+dJ+j\n7WBe5a+zWYtdXOvNNsfMt76lmW8LxzadGdvOqKyeq3CubGTUC/wMenw1ofUz6poIb3pBFSU1TX3/\nd05NwN9Hj69Bj01Klm45fsoxd5/fj1lJPbVz6Rzn8zPqMXpBVtEz4a3Nx/npSAkh/kauG+u+SEGV\nfqCTUlZjYvn2LHLKavlkZw4Wm6R7kC99wwOYP6Y3C8b0ccusYO2BAu54fxcA14/vy98ud0+hgdaw\n2SRPrErhv79kATA9sQcPzxzUbHEOd7LmQAGPr9zfJBIkKSYYmw2H4J6oavB4MXMfgw4/Q1NxPVkc\nfY16/Az2Nl+D3kmMm+77GvT4GnWOY5ue79fjT3fT/94P9/BVch4jeoeweMHIVsNkM4preOjTZHZk\n2O8J3T4lnscv6bx56p9cdYB3f87gz5cksnBKQrvO5e44d4UHCAv04e7z+wNw/fhYHvjY7gctqrIX\nkfg2pYDnrhzeJFbZFXyZbF8mPmNoDx6Z6ZnVrjqd4OnLklhzoJATVQ38kFrIpkMn+OPFA7l9Stti\nn9vCjKHRjIsPZ2P6CVILKnln83FScs88wqg5wgN9iAj0ISrIl8huvkR08yHQx/CrkDqLqaFlcW08\n3kev80qXUWNq4jum9jvt+oe4yEBW3DGBtzYf47lv01ixI7tTi3sj7nYpKnHvAgztFcLX904mraCK\ng3mV/P2bVDamn+Cil3/koRmD6B/VjXPiwlyT61270Jszopcj9tgT6HSCdQ+cx9Giaj7akc2KHdk8\n920aaw4U8NKCkR12ozM0wIfLR8VwOTHcOime/Ip69EKQml/Jw5/tO/0JTqK0xkRpjYnDRdWONn+j\nniA/A938DAT5GQnyNdDN13Bqm5/Wpj0X5Gd0bHf2Mnt6neDacX157ts06kxWfjx0gvO6aNoAV6HE\nvYtg0OtIigkhKSaE8wZF8djn+1mfVuRYBTeoRxCLF4wgKaZ9S+cbJxsfbs9iQkKERwtCBPsZGdU3\njFF9w5iRFM1DWsKsa9/6ha2Pdfz9fOfoomG9Q7hkeE9Kqk1YbDaq6i1UN1ioqrdQVW92bDfbprVX\nam11Zit1ZitFrUQlnQmOAcExMNgHhcY254GiceCwH2vUBgsD/kbXxGU3nmP59kzGJ4Sf0fcoyNfA\nxH4R/Hy0hFv+s50tbQi59DQH8ipYr0UGuXusVT73LoqUkpV7clm9L5/0wipyyurQawU+7jm/f5sL\nNP98pJgblm7HapNcOSqGl64e6WLL205eeR0Tn1sPwHXj+vLM3CSXzlaTs8v5aGd2k5uUvcP8WTgl\noU0lDtccKGBdaiEnp2jvFeLHwqkJBPsZkVJSa7JqA4GZSifxr6o3awODfb+63kJVg7nJoFGtDRw1\nJmt73z5gF6STBd8+MGj7vicNHo1tJ11J7Mos44Z3tmGTcOXoGF5acGbfo5fWpvPP9fZIqR/+eF67\nUlp4gnlLfmZXZhn9ogJ577ZxjkWDbUXlc/+Nc3LxhCE9g1m8YASJPduWG/udLccdy8zvmtaP+6YP\n8Jryfku3HOcf36ZitkrWPXCeS1YgNlisvPLDYd748egpQgx2gX/xqhFM6HdqGt6TSSuoZNGadHLK\n6lrNvhjZzZfYiADmjuzF9eNi2z1IWW2SGlNTwa9qHBC0gcN5oGi8kmh8vkprc46IaQ9GvXAUZwF4\nft4wrj639ciRjOIapi3aCNijZh68eFCnywx6yT83cyCvklX3TGJ47/YX01E3VH/j+PvoefKyocxM\nsi9AOZhfyWWvbuF/LxzA78/rd9a5sW+cEEtRVT1vbTrGko1HWZdayOL5zefu7mhunRzPh9uzOFxU\n3aQqUVtJya3ggY+TSS+sQgi4eWIcQ3rZB0WbzZ7Z70BeJb976xdunhjHwzMHnRKOWlFr5pnVB1mT\nUkC1yeKIAQ/w0XP3+f2b5KmRUrJ8WxbJORUUV9tTNX+zP58XrxrRYt3WM0GvEwT7Gdtdq9NstVHj\ncCU5DQINFqerCrNjEKnU9pteSVhOiSDacqSEBWP6aIOIhZMnnTsySh0uxvjIQB6a4d2pq09HR6zP\nUDP33xg1DRb+8W2qI4zQHoo2gv6tpBhoiV2ZZTz4SbKj6s6a+6a06TyuZE9WGTct3U5lvYW1909t\nV3jksRPVXPzyJiw2SXxkIIvmD+ec2KZx7Garjdc2HOHV9Uew2CRxEQEsmj/CUeFnQ1oRj36+j8JK\nu79crxNcc24f5p3Tm/iIwGYTwlltktT8So4UVfO31QcprjYR7Gfgp0cv8OhN7DOh0Y1UUWemos5M\nea39b2Xjfp2JijozJ6oayCmzL04qrzUT5GegpsHS7JWRM+cNjOK5ecM6rCyfq2mcuX997+R23/8C\n5ZZRNMOWw8U88tk+csvr8DHouGViHH0jApgzotdZze7qTFamvLCe4moTQ3sFs/z28YT4e0aA6s1W\nRj69lnqzjcHRQXxx96Q2r0gsqW7glnd3sC+ngvBAH3565AL8fVo+V0puBQ9+Yg9HFQJuGB9LncnK\nJ9pir9F9Q3l+3nD6hAeclU0l1Q1c9PImSmtMbHqo/fVbz5R686kC7XjUmn59zqm9UcCd3S1nS6CP\nniA/4ynhrH5GHbdPSeDqc92zfqOj6EhxV26Z3yiTB0Ty3X1T+PvqVFbsyObfm44B8Or6I0zuH8mY\nuDDmn9PntL5efx89z88bzm3LdnIgr5LFa9N5em5SR7yFU2hcxdnN19CqsFfVm3l783HyWljSLrHP\nuEtqTARq7681YQdIignhy3sm8eJ36by95bgjz4mPQccDFw1kYRvj7yO6+RLoq6e0+cp4rWKy2JxE\n2eQkzqeKsrOAl9eZ27Wy1c+oI8TfSIi/kVB/H4IbtwOMjvYQfyMhJ+/7GzvNKtO28Or6w477LB3x\nPpW4/4YJ8jPy3LzhzBnRi43pRWw7Xsq+nAo+2ZXDJ7ty+Hx3Li9eNeK0s8ULE3tw//SBvPzDId7b\nmklkN1/umtbPYz9UvU6cIuw2m+SD7Vl8uSeXzNLaVpOdNTIhIYIXrhp+xr5uX4OeOnPTqBSTxUb3\nYN82L6yqbrCQX27Pwb4nu4xjxdXNCnKjKFc6zbZPtuVs8NHrNFE2EBrgc4oIh7Qg2MH+Rq/I3+Jt\n1JutjgR6d05NYEAHRPkocVcwqX8kk/pHYrHaWJdWRE5ZHUs2HmHb8VLOX7yRbr4Grhwdw8MzBrc4\ng73zvARKaxpYtjWTl74/xLbjJXywcHwHv5PmyS6t5ZHPfi2AAvaCFNeO7dvija3IIB+mDex+VlEq\n2aW1fLDNfi/jrmn9WLLxKAD3f5TMsJhQfPS6Jn7nRhGudBZoTbCPFVefEpnSWKDkTNHrxGlFOdjf\nSOhJM+lQfx/8jLpO7f7wNhrTYftrdZM7AiXuCgcGvY4ZWgm2K0bF8MSXKXy9L5+KOjP/+SmDDWlF\nPHDxIHqH+TOyT2iTH7+fUc9Tc5OYMTSaa9/exk9HSlhzoMBxvo6k1mRh5Z4cwgJ8OHaihsVr06kx\nWQkP9OHx2YkMig4isWewS9MUVNabmf3PzYA9Tv2+6QOYntideUvsaXGnv/Rju19jeO8QhyCHOIty\nM26O0AAfAt1YCEJxdnx/sLDDX1PdUFW0Sp3JyqHCKh75bF+TuOwLB3fn2SuHNZvvfeGyHfyQal+F\nd8WoGJ6cM7RJ+T53IaXk6n//0qS4SSOzkqJ55vIkIt2wotZitXHfR3v5ep+9bPDuv1zkKNydV17H\n018dJDmnHL1OUFFnDxM8E4L9DNwwIZb/udB71hEozp6U3Aou/dcWAOaO7MUr14xy2blVtIyi3TRY\nrLy16RjbM8rYm1VGZb2FYD8DFw+NZlCPIG6cGOsQIJtNsmxrBs9/l0a92UaPYF9eu3a0IzzQnVis\nNt79OYPNh4uRgFEnuGJ0DJcM6+m2WewPBwtZ+J79+zshIYIP72jZHZWaX8msVzbjZ9QxNr75RU+9\nQvy4/6KBrRZKUXQe1qUWctuynYyJDeOT309w6fdQRcso2o2vQc89FwwAoKCinsc+38eG9BOOvO6f\n7c5h0Xx77hqdTnDLpHimDerOAx/vZXdWOW/8eJS3O0DcDXodC6cktDuV6tkweUAkFw/pwdqDhRRW\ntV6AOqKbfUYf6GPgvVvHdoR5Cg+SklvBQ1r+/qgg3w51kylxV5w10SF+LL35XDYfLiaztJa3Nx8j\nraCKOa9uIVBbnTmkZzB/uiSR6UN6sDurHIsLVot6K35GPX+ancjag4WnXRUbHuCDEFBaa8Jqkx2W\nnljR8ZitNv78RQqlNSaignx5Yk7Hpilus7gLIfoA72GvoyqBN6WUrwghngRuB05oh/5JSvlNew1V\neBdCCKZqKVfnjY7h+W/T+O+2LKob7P7k7RmlXP7aT47jh7Qxj01Xw6DXERbg40jt65x6QNG1eOLL\nFPZmlwPw7BUdv6q2PTN3C/CAlHK3ECII2CWE+F577mUp5aL2m6foDAT4GHhqbhKPzU7EbLVRb7bx\nz3WHWZdaiJ9Rz21T4rnWjeXEOhsRgXZxL6lpUOLeRdmQVsSH27MBeHTWYC4a0qPDbWizuEsp84F8\nbbtKCJEKxLjKMEXno7EaUJAfPHN5Es9c7pmVqt5OZDdfDhdVU1xlgo6PFFW4GYvVxi3v7gBgXHw4\nN02I84gdLllCKISIA0YB27Sme4QQ+4QQS4UQYS38zx1CiJ1CiJ0nTpxo7hCFokvSeFO1pKZ9xTcU\n3ketycL8f2917C+/ffxpU1e4i3aLuxCiG/AZcJ+UshJYAvQDRmKf2S9u7v+klG9KKcdIKcdERaly\nWYrfDo2x9s6FtRVdg6VbjrMny+5nX75wnEdvmLdL3IUQRuzC/oGU8nMAKWWhlNIqpbQBbwEq3kvx\nm6Gk2sTurLJWj4nUZu7F1Wrm3lWorDfz4CfJjvwx143ry8T+kR61qc3iLuwBm+8AqVLKl5zaezod\ndgWQ0nbzFIrOQc9QPxJ7BlPdYOHK13+mpqHlVaiN9UJLlLh3GR5fmcKnu3LQCXh8dqLHMqM6056Z\n+yTgBuACIcRe7TEbeEEIsV8IsQ84H7jfFYYqFN6Mr0HPyj9MdOwvXLazRYGP0FITlCi3TKfHZpMs\n3XKcr5LzAHhqbhK3T21bemdX055omS1Ac+9AxbQrfpP4GfW8cf1oHvpkH1uPlbD5cDEzk04Nh4kM\navS5q5l7ZyarpJYHP01m+3F7LqN5o3tz9Zg+HrbqV9QKVYXChcxM6slXyfms3p+PxdZ8wYvIQHVD\ntbOTklvBgn9vpdZkJbKbL/+4cphHYtlbo+uWPVEoPEB2aS1pBZWtHtMYCllQWc+61I5PBatoHzUN\nFh5fuZ9ak5Uewb58f/9UrxN2UOKuULgEKSXLt2Ux8/82cfREDZHdfBjRO7TZYwN9DXTzNWC1SW5b\ntpPs0toOtlbRVrYfL2XWK5tJzqnAqBc8Mzep2SLn3oByyygU7WB3Vhlf7MklraDK4XudPSyaZ+Ym\nOaJimsOg//V21U9HirnqnN4YunD90M5OncnKi2vS+c/Px5ESEnsGs3j+CIb08t6cSSqfu0JxlhRV\n1vPimnSOnKgmObucxkSQoQFGnpmbxJwRvU57jpV7crj/o2THfu8wf+6cmsD8MX1UDVIvY1dmGQ99\nksyx4hr0OsHd0/pxzwUD8DF4fjBWxToUCheRXVrLnFe3UF5rBkAn4KaJcSRGB3NBYvezqvRkstj4\nYk8ub/x4lGPFNYB9gdOtk+O5fnwswX7ur16laJ1VyXnct2IPNgkDundj8YIRDG/B3eYJlLgrFC7A\nZLFx5/s72ZB+ggAfPW/fNIa+4QH0Dgto13mtNsmaAwW8vvEIKbn2m7FBvgaunxDLrZPiVeZID5Bd\nWktGSQ3/u2IvpTUmxsWHs+zWsV53VaUqMSkULmDZzxlsSLcnubtjagIT+7lmebleJ5g9rCezkqLZ\ncqSY1zccZeuxEpZsPMrSLcdZMKYPd0xNoE94+wYRxekxWWz8a/1hXt941FF4JcjPwDOXJ3mdsJ8O\nJe4KxRkyPiECP6OOerON3VpyKFcihGDKgCimDIhid1YZSzYe5fuDhbz/SybLt2dx2Yhe/P68fgyK\nDnL5ayvgQF4FD3ycTFpBFULA2LhwYiMCeODiQUSHdL56tsoto1CcBauS8/ifD/cAMLJPKPGRgTw4\nYxAxoe6psnOosIo3fjzKl3vzHDPJ6YnduWtaf86JbTabtuIsKKsxsfj7dNLyq9ibbS8HGRsRwItX\njWBsvPtr/rYX5XNXKFyEzSb51/oj/Gv9YUdd2CBfA3+5dAjzx/R2WwHknLJa3tp0jBU7smmw2Fe+\njosP565p/ThvYFSHFl7u7Fhtkrc2H+PdnzIoqzU5+hPgpgmxPDJrMAE+ncOpocRdoXAxeeV1ZJbU\n8u7Px1lzwL7K9PxBUdw6OZ64iEC3+ceLqxt496cMlm3NoKrenphsaK9g7prWj1lJPb0iYZW3YbNJ\nknPKqTNZabDaS0DucXKrjYsP594LBtA7zJ+4yEAPWnr2KHFXKNyElJIv9+bxxJcpVGpiqxNw44Q4\nBvYI4uKhPc4qPPJMqao388G2LN7efNyRgCw+MpA7pyZwxegYfA2d6+afO0jOLmdPVhnfphSwTVtg\n1kh0sB/PXpnEOX3DCQnovCGnStwVCjdTWFnP4rXpZBTXsiOzlMafVViAkZlJPRkcHcS14/pidPEq\n1HqzlU935fDmpmNkaWkMegT7snByAteO60ugb+dwL7iC3VllrNqbh9lqo7zWzOr9+Y7nIgJ9GNjD\nfiN6UHQQ9180kBD/zivqjShxVyg6kF2ZZazel09KXoUjJQFAUkwwi+ePdEu0i8VqY/X+fJZsPEpa\nQRUAIf5GbpoYx80T4wj30vwn7aWwsp5Fa9I5VlzD7qwynOXMoBPMHRlD7zB/bp4Y57U5YNqDEneF\nwgNIKVmXWkRWaS3vbDlObnkdep0g1N/I9MQe3HthfyK7+bo0flpKyYb0Il7fcJSdmfZyf/5GPdeM\n7cPtUxLo5aaoHndTUWfGZLFRa7Lw0veH2Hy4GCklNSYrJu2GaONq4YSobgjsvvQBPbp22KgSd4XC\nw1Q3WPj76lRW7MhqMrv0M+q4b/pARvUJZXjvUPx9XCf0OzJKeX3DEcfCK6NecPnIGH4/rR/9orq5\n7HXcRWFlPUeLqvl4ZzZf7M1r8bgLBndn4eR4+oQH/OYWeilxVyi8hOoGC9mltTz7TSoH8yopqfm1\nYEdMqD+3TIqjb3gA0xN7oHNR5MvBvEqW/HiU1fvysEkQAmYOjeYP0/ozrHeIS17DFWSX1rLx0Als\nNklBZT3vbDnumJUb9cLhIx/ZJ5RHZw0mPNAXvU50Cd95W1HirlB4KT9oK1CzSms5riUPAzg3Lszh\nmz83LpzLRvRqdyx7RnEN/950jM925WCy2kVzcv9I/jCtHxP6RXR4rHx2aS3//SWTGpMFk8XGquQ8\n6s1Nq1eN6htKn7AA/njRwE4XptgReETchRAzgVcAPfC2lPK5lo5V4q74rWO22vhwexaHCqv4Zn8B\npTVNS/ANjg4i2AUzVL0QjI0Pp85s5YNfMqkxWQEY0SeUP0zrx0UuvGJosFhZsvEoPx8tafb5A7kV\njtdvZHpid3qF+qMTggsTuzNlQJRLbOmqdLi4CyH0wCHgIiAH2AH8Tkp5sLnjlbgrFL9SUt3A9wcL\nMVttVNZbeHPTMSrqzC59jWA/A2arpM7cVFzHxoez9OZzaTipvSV2Zpbx4pr0UwYjgAaz9RTxPpmZ\nQ6OZ1D8CgAE9ghifEHGG70ABnskKORY4IqU8phmwApgLNCvuCoXiVyK6+XLN2L6O/evHxZJ6mrqs\nZ0p2aS3Pf5fWYnHuosp6PtuVw19XHXDJ6yVEBfLwjMGENrNQKMTfyODoIJU6wU24S9xjgGyn/Rxg\nnPMBQog7gDvzJJfkAAAFeElEQVQA+vbti0KhaJ6QAKPLZrTjEyK4fFQMlS1cCQT7G1m5O/eM4+L9\njXpunRzP3JG9aE6iwwJ8XObmUZwdHlu+JqV8E3gT7G4ZT9mhUPzWMOp1rdZ3XXBuHxac26cDLVK4\nA3cVAcwFnL8dvbU2hUKhUHQA7hL3HcAAIUS8EMIHuAZY5abXUigUCsVJuMUtI6W0CCHuAdZgD4Vc\nKqV0zR0ahUKhUJwWt/ncpZTfAN+46/wKhUKhaBl3uWUUCoVC4UGUuCsUCkUXRIm7QqFQdEGUuCsU\nCkUXxCuyQgohTgCZ7ThFJFDsInPcgbfbB8pGV6FsdA3KxjMjVkrZbHY1rxD39iKE2NlS8hxvwNvt\nA2Wjq1A2ugZlY/tRbhmFQqHogihxVygUii5IVxH3Nz1twGnwdvtA2egqlI2uQdnYTrqEz12hUCgU\nTekqM3eFQqFQOKHEXaFQKLognVrchRAzhRDpQogjQohHPW0PgBCijxBigxDioBDigBDif7X2J4UQ\nuUKIvdpjtoftzBBC7Nds2am1hQshvhdCHNb+hnnQvkFOfbVXCFEphLjP0/0ohFgqhCgSQqQ4tTXb\nb8LOP7Xv5z4hxGgP2viiECJNs2OlECJUa48TQtQ59ecbHrSxxc9WCPGY1o/pQogZHrTxIyf7MoQQ\ne7V2j/Rjq0gpO+UDeyrho0AC4AMkA0O8wK6ewGhtOwh7ofAhwJPAg562z8nODCDypLYXgEe17UeB\n5z1tp9NnXQDEerofganAaCDldP0GzAa+BQQwHtjmQRsvBgza9vNONsY5H+fhfmz2s9V+P8mALxCv\n/e71nrDxpOcXA094sh9be3TmmbujCLeU0gQ0FuH2KFLKfCnlbm27CkjFXlO2MzAXWKZtLwMu96At\nzlwIHJVStmcVs0uQUm4CSk9qbqnf5gLvSTu/AKFCiJ6esFFKuVZKadF2f8FeHc1jtNCPLTEXWCGl\nbJBSHgeOYP/9u5XWbBT2qt4LgA/dbUdb6czi3lwRbq8SUSFEHDAK2KY13aNdFi/1pMtDQwJrhRC7\ntGLlAD2klPnadgHQwzOmncI1NP0ReVM/Qsv95q3f0VuxX1E0Ei+E2COE+FEIMcVTRmk099l6Yz9O\nAQqllIed2rypHzu1uHs1QohuwGfAfVLKSmAJ0A8YCeRjv6TzJJOllKOBWcDdQoipzk9K+7Wmx+Nk\ntTKNlwGfaE3e1o9N8JZ+awkhxOOABfhAa8oH+kopRwF/BJYLIYI9ZJ5Xf7Yn8TuaTji8qR+Bzi3u\nXluEWwhhxC7sH0gpPweQUhZKKa1SShvwFh1wWdkaUspc7W8RsFKzp7DRbaD9LfKchQ5mAbullIXg\nff2o0VK/edV3VAhxM3ApcJ02CKG5Okq07V3Y/dkDPWFfK5+tt/WjAbgS+KixzZv6sZHOLO5eWYRb\n88W9A6RKKV9yanf2tV4BpJz8vx2FECJQCBHUuI39ZlsK9v67STvsJuBLz1jYhCYzJG/qRyda6rdV\nwI1a1Mx4oMLJfdOhCCFmAg8Dl0kpa53ao4QQem07ARgAHPOQjS19tquAa4QQvkKIeOw2bu9o+5yY\nDqRJKXMaG7ypHx14+o5uex7YoxEOYR8lH/e0PZpNk7Fflu8D9mqP2cD7wH6tfRXQ04M2JmCPPkgG\nDjT2HRABrAMOAz8A4R7uy0CgBAhxavNoP2IfaPIBM3bf720t9Rv2KJnXtO/nfmCMB208gt1v3fid\nfEM7dp72HdgL7AbmeNDGFj9b4HGtH9OBWZ6yUWt/F/j9Scd6pB9be6j0AwqFQtEF6cxuGYVCoVC0\ngBJ3hUKh6IIocVcoFIouiBJ3hUKh6IIocVcoFIouiBJ3hUKh6IIocVcoFIouyP8DTfQBFmibDk4A\nAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "otkLCvrTf0B2",
"colab_type": "text"
},
"source": [
"# UTILISATION DE LA DISTANCE"
]
},
{
"cell_type": "code",
"metadata": {
"id": "9rf-vU2okITt",
"colab_type": "code",
"outputId": "482a6fa9-49d1-4d53-e0ea-74aa45d88b79",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
}
},
"source": [
"# utilisation de la distance ...\n",
"npts2 = numpy.array(pts2)\n",
"dist = numpy.linalg.norm(npts2[:-1] - npts2[1:],axis=1)\n",
"plt.scatter(npts2[:,0],npts2[:,1],s=0.1)"
],
"execution_count": 11,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f5a2bac13c8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 11
},
{
"output_type": "display_data",
"data": {
"image/png": 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81HY3cGfw/E7grmbfsX79eu1nnvv+y/rePU/rc99/OZHvOz3zqp6eeVWf+/7L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\ngKHZyiEYAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "WtE1yRtHxMht",
"colab_type": "code",
"outputId": "26c838b0-4291-4e51-96a6-5515b203f0e9",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 335
}
},
"source": [
"plt.hist(dist)"
],
"execution_count": 12,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(array([1521., 0., 2., 4., 2., 2., 0., 4., 2.,\n",
" 2.]), array([ 0.755 , 11.28845648, 21.82191296, 32.35536945,\n",
" 42.88882593, 53.42228241, 63.95573889, 74.48919537,\n",
" 85.02265186, 95.55610834, 106.08956482]), <a list of 10 Patch objects>)"
]
},
"metadata": {
"tags": []
},
"execution_count": 12
},
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "vG5kkCUtx84z",
"colab_type": "code",
"colab": {}
},
"source": [
"def clean_pathes2(pts,threshold):\n",
" \"\"\" remove all points with large distances.... \"\"\"\n",
" from collections import deque\n",
" q = deque(pts)\n",
" pathes = []\n",
" \n",
" while q: # not empty\n",
" seed = q.popleft()\n",
" local_path=[seed]\n",
" while q and ((seed[0]-q[0][0])**2 + (seed[1]-q[0][1])**2 < threshold**2):\n",
" seed = q.popleft()\n",
" local_path.append(seed)\n",
" if len(local_path)>2:\n",
" pathes.append( local_path )\n",
"\n",
" return pathes"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "4bUYSnMrRb7N",
"colab_type": "code",
"outputId": "f4103f0c-a710-4a3e-c73b-55e2bd563d3c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
}
},
"source": [
"pathes = clean_pathes2(pts2,threshold=2)\n",
"\n",
"for p in pathes:\n",
" plt.plot(*zip(*p))"
],
"execution_count": 18,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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tyBV35/7ttpMNif2HewapxK4o59E/yI1Vj4/knuGdMEjJvI1xzPh0B9EZJZYOTTGBdpfc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\njNIqPS521rw6vQfX9u7Y7A7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aBXP7W/MsktjBWHL7jfqEXlRhmt+t81H/4y3g/lGduKaX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\nWnejD10AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "OG4PL6Jbflfv",
"colab_type": "code",
"outputId": "54ac23ce-084e-4951-f392-1682350aa717",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 286
}
},
"source": [
"### toplogical images\n",
"import numpy\n",
"import skimage\n",
"from skimage.draw import polygon\n",
"topo_img = numpy.zeros(size)\n",
"for p in pathes:\n",
" rr, cc = polygon(*zip(*p), size)\n",
" topo_img[rr,cc] += 1\n",
"\n",
"plt.imshow(topo_img)\n",
"plt.colorbar()"
],
"execution_count": 19,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x7f5a28fb94e0>"
]
},
"metadata": {
"tags": []
},
"execution_count": 19
},
{
"output_type": "display_data",
"data": {
"image/png": 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0GuAfJL3S9q9a35hP8T0D2XyGQ5ajrWnrejMpEYJhHzWtGQ4chpL2B/4j8Jr5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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Pl8Oc6XYd1SS",
"colab_type": "code",
"outputId": "8c9fb4e3-4bdb-4a60-ab5d-7fd0bdb01837",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 286
}
},
"source": [
"plt.imshow(topo_img%2==1)"
],
"execution_count": 20,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x7f5a28f2a9e8>"
]
},
"metadata": {
"tags": []
},
"execution_count": 20
},
{
"output_type": "display_data",
"data": {
"image/png": 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2ZNPMrMOKBsUdwFnAAqOBiW9b7hsMdTTzJjRZTXhLPQyFgiIi9kTEgYh4F7iT93YvdgKn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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "TEO0gdwnfrNI",
"colab_type": "code",
"colab": {}
},
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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