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@kuanb
Created August 19, 2017 00:12
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Companion notebook to this blog post: http://kuanbutts.com/2017/08/18/triangulate-spline/
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{
"cells": [
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import matplotlib\n",
"%matplotlib inline\n",
"\n",
"import geopandas as gpd\n",
"\n",
"coord_list = [ [ -1.8017578124999998, -55.040614327716725 ], [ -1.0986328125, -55.44147935914068 ], [ -0.3515625, -55.41654360858007 ], [ 0.41748046875, -55.0657868865917 ], [ 0.24169921874999997, -54.53383250794429 ], [ 0.087890625, -53.5403073915002 ], [ -0.1318359375, -52.38901106223456 ], [ 0.15380859375, -51.6452940493054 ], [ 0.17578125, -50.61113171332362 ], [ 0.17578125, -49.51094351526261 ], [ 0.263671875, -48.92249926375823 ], [ 0.63720703125, -47.90161354142076 ], [ 1.4501953125, -47.4578085307503 ], [ 2.5048828125, -47.1598400130443 ], [ 3.5595703125, -46.92025531537451 ], [ 4.98779296875, -46.769968433569815 ], [ 6.39404296875, -46.709735944071554 ], [ 7.932128906249999, -46.724800374667176 ], [ 8.3056640625, -47.78363463526376 ], [ 8.7451171875, -48.06339653776211 ], [ 9.77783203125, -48.400032496106846 ], [ 11.44775390625, -48.57478991092885 ], [ 11.997070312499998, -48.370847702383635 ], [ 12.28271484375, -48.07807894349861 ], [ 12.12890625, -47.56170075451972 ], [ 11.337890625, -47.487513008956554 ], [ 10.4150390625, -47.368594345213374 ], [ 9.7998046875, -47.21956811231548 ], [ 9.0966796875, -47.21956811231548 ], [ 9.140625, -46.55886030311717 ], [ 8.89892578125, -45.98169518512228 ], [ 7.998046875, -45.89000815866183 ], [ 5.625, -45.736859547360474 ], [ 4.54833984375, -45.614037411350914 ], [ 3.75732421875, -45.81348649679971 ], [ 2.98828125, -46.02748185248664 ], [ 1.3623046875, -46.13417004624325 ], [ 0.24169921874999997, -46.89023157359399 ], [ -0.46142578125, -47.50235895196859 ], [ -0.7470703125, -47.96050238891508 ], [ -1.47216796875, -48.56024979174329 ], [ -1.40625, -49.05227025601606 ], [ -1.0546875, -49.63917719651034 ], [ -1.5380859375, -50.88917404890331 ], [ -1.7358398437499998, -51.849352763706044 ], [ -1.42822265625, -52.415822612378776 ], [ -1.40625, -53.001562274591464 ], [ -1.5600585937499998, -53.87844040332882 ], [ -1.669921875, -54.059387886623576 ], [ -1.69189453125, -54.431712859468426 ], [ -1.9116210937499998, -54.76267040025495 ], [ -1.8017578124999998, -55.040614327716725 ] ]"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe8449a0048>"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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aN197jfkj5MhBIYR9c7mC3rFjB9TWclV8vNFRhBDiolyuoN947TXmDh+BUsro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\nU1LQQghhp6SghRDCTv1/9AApC+03InkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe84583cf28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from shapely.geometry import Polygon\n",
"\n",
"shape = Polygon(coord_list)\n",
"\n",
"# visually inspect shape\n",
"gpd.GeoSeries(shape).plot()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe844cab208>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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japYxoZKFMSoqBZvZzlh3jlWH77B372j69q2bYzlBENi37wEbNlzn/r1gxKkS\nzE2MsKpfgyFdW2NSpHCtCa4/eobT+r3EJiTRv39/pkyZ8ktm70OHDEE/NZWzEzM74zz/8gW748e4\n8eYNGlraNOnUh+4jp6KuIZ9H4ZcP73Ae3oHdAbuynPtRpJWVVbFZOom3H97Qqscg+k104PH1s2xc\nMJUG7eszZcXkbPuQSqSsn7ueO6fvUqVsNVbMWE2R76IexsbHsO/sHg5fOoh1N2scnBwoL6e7+r+J\nQqB/M1JTUxkxYghBQX5s2NCPGjUWMK5XR45cukNEbBytajdm/czFlDbLX2D17FBrXQYfH598B2n/\nG4lEwrChQ/kYEsK5SZOp+V3IyR4bN/I8ScyCnblnkYaMm/TFw1s8uHqKd88eEvnlA2lpaehpaVNc\nV4eXYWGYFdHh86EZBRqnPNhuOM/yg7fZs2ck/frVz7vCd9y5846VKy9y4cIroqMTMdTToWG1Cgzp\n2prq5SwLbYzexy+w9sApVFRUmTFzJt26dSu0tgFOnz6Ny7x5RLgtyfYHIFkiweX0KXbef0CyJJWK\ntRrRd5ID5pa5C93zBzfwnDuaHU+3Z3teEAQcezkSGhTOgaWHMDM25+glH5Ztd0NdS4c/XdYiCOms\nnDWMCrXKMXfb3Bx/oIJfhrBy0kqiQ6MZ0WMU43pnzokYnxjPgXN7OXhhP+3bt8fR2ZEqVarI+Qn9\n8ygE+jciOjqaP/7ohrFxGjt3DkFTU40K5Z0x1S2K15w/ufrwGe47jhASGkHt8lVZN2MRtStUK3B/\nmm3L4+npSf36+ROk7xEEgSmTJ/PgwQP2jxhJu8qVEUskmDnYM3Luchq06ZqlTmJ8LPcvnuDpnct8\nevOCuNgolEQiTA0MqGduTtfq1bGuVp2o5GRqLl6EDBlRR2ahp/NrbIHnbLrA0n232LV7BAMGNPip\ntj5+jGHFigsc8fEjOCQSdTU1qpe3pE/bJrRvVPunZ74SqZQFG/dz4tpdihUzxdXVlRo1avxUm38j\nCALNmjZlxR89GdqwYa5lDz1+zKLz53gbHo6xWQm6DJlMk449sy178/Qh9nnOY+ujLbn27dDLkbCg\ncA4sPYyZcXGSxcnMWjmd+8/uUqOxFV2HTmSZTX9MShqz8JArKmo573+c2OzLQY+DGOoWYdm0FVT7\nIQJiYnIihy4cYN/Z3bRs2RKneU7UrClfHst/EoVA/ya8e/eOzp3b07VrOZYu7f71Rt648TqTJu7j\n/q4VX4/w0SktAAAgAElEQVQ9DQxi4ZYDvHz/gfIlS7NikjPtG7TId5/6HatgN2c2Xbp0+enxL3Bx\n4YSvLx69e/MqLJwtDx6w2jcjYlxwYAD3Lh4j8Mldwj68RyxOQVNdnXJGxjQvW4betWpT94cNnNjk\nZKotWkiCWMyJhf3p2rjiT48xO+Zuvojb3pvs3DmCQYN+Tpx/JCVFwoYN19mx4y7+/h+RCVCmpCmd\nm9ZjQMfmaOUzVdj3RMbGM3OVN49fvKF69Rq4ubnlKxtKTvw5fjziL1+4OV2+p5W3ERHYHjvK5cBA\nVNU0aNi+Oz3H2KKp/W2t/NSudVw4vIkNt9fl2pYgCNj3dCAiJIL9Sw5/zdx+++kt5nrakZYupefY\nWRzbuhJNHTXcji9GSyfnZZak+CRWTV7FiwcvaV6nBQsnL8ni8JMsTsbn4iH2nNlJw0aNmDffmbp1\nc17e+qdRCPRvwL179+jRoyv29u2YODGz0AqCgKbmFKYN7MGgzpnNjYK/hOOycR8Pnr+heFETFo6x\nlTtAO4CJdW0GDR3M8OHDC+My2LhxI5s2bQJAz9AINTU1oiPCkMkEiurqUtPMjPaVKtO7dm2Mctns\nkkilVF+0kND4eAZZVWeXffYzs5/FceslFu6+wbZtwxg6tNEv6eNvBEHA19cfL6+r3Lz5lqSkVEyN\nDGlRpyrDu1lRoljOga1yw/9NEHYeO/gcFkmHjh1xcHAo0J7C39y9e5fJkycTunBRvjY+JVIpi86e\nZevdu8SnJFOuel36TnCgVIWq7PV04entU3hcyj4I1vcIgoBDTwfCQyI4sNTnq1OSIAi4bpyH7/UT\nlCxbmZjIUASZhCXHFmNokrsr+tMbT/GauRaJOA3bYbPp3jrrPSKWiDl22Yddp3ZQo1ZN5s13pnHj\nxnJf/69CIdD/MseOHWP06OFs3TqQbt2yf1Tt3n0dj+5+4pSnc7bnI2Pjcd20nysPn2GgrYvdoAnY\n9BmV5+O0Zd/GtLBqzYwZP7e2+/79e/bv38+d27f59FdmcIuiRWlRpgw9a9Wmdfnycj/aC4JAA/dl\nvA4Px6yILh8PTP0lG2JO3pdx3XUdb++hDBv2z9+IT59+ZMWKC5w5/Zyw8Hj0dLSoW7kcgzu3on7V\n/G9enbh2j8VbDyGRpjN69GhGjBhR4LG1aN6cma1bM9Mqa9xueTj17Bnzz57h5ZcvFDExRV1LD0jA\n/dQyuep/P5P+XqQB3nx4zdSlk4mIjUBZRRUlkYwFB10wL5t7Ml5BENixcCcX9l/A0qw0K2d6Zpun\nMlWSyolrx9l5chsVK1dk3nxnWrTI/9NpYaEQ6H8RD49VuLm5cvz4WOrVy9nO9NWrMCpVcua01zzM\njXN2Y00Wi1my7TC+1x6gqqLKnz2GsGDUzBxtlasNa0uZKhVYsED+3HqQkRDg5MmTnDlzhlcvX5Ii\nFmNa1ISklCQSkpMY0agxq3r3zlebf9NhzRruBL1HWUnEq+2TKGteOFYr3zN/+xXm77jGpk2DGTWq\ncBxBfobIyERWrrzAwYOPefMmHFUVZaqUsaBH60ZYt6gvd3AkQRDw2HuCHb6X0dXVxcHRsUDiYjtr\nFu+fPcNv9px81/2ekOhoxu3dy633736qHTOjYlQrV5N2jTvSvHYLVFRU2HBoHVuPbkYQ0lFSVsZh\nuz0V61TIs62ITxEs/3MFH99+pGeb3tiOmJPtBCBNmsapG75s9/XGwtKCefOdsbKy+scT3CoE+l8g\nPT2dGTOmcu7cMU6dGoelZd6PtyVLzKGqhSXLpo3Ms6xUKsVz/0n2nbmOND2dgW17sHKyEzo/uOo2\n+bMHKgZaeHrmHZP45cuXHDhwgPv37hEWFo66mho1ylWmb+tujOzchzHLZnP4yimK6+vzwtEpz/ay\nY9A2b04GBCCTyVg9qQNTehb+soPrzms4bbvCxo2DGD26Wd4V/mGkUinbtt1hy5abPHr0gbS0dCyL\nm9C2YS2GdG2NgY52nm0ki8XM8dzJlQf+lC5dmsWLF1OmjPymjoGBgQwaNIj3LgvyFZz/R5acO8fi\nc2f5WzWcnJxo3ry53PU9PDy4de0SPZpW4KpfCEGhsaSnp1PUoChVylSjfrWGHLtylDchgYhEImxW\n21C/rXwBva4cvsJ21x2oq2qwYMJimtbK/odami7l7M3TbD+5FaNixsx3mUfHjh3/MaFWCPQ/THJy\nMoMH9ycm5i0+PqMwNMz7hgNwczvDPOeT3Nu5XO4vhyAI7Dp5hc1Hz5OQlEyXxlasme6KaZGMzaQu\ntsP4nBzNtm3bsh3n0aNHOX/uPK9fv0YikWBuYkrbuk35s8fQTNYjg12mcOCyLwBvnOdhrKsr1/i+\nZ+qhQ2y/ewd1FRXqVDTjhkfBH9FzYvHu69hvvcz69QMZO1Z+ofg3uXjxBR4el7l65Q1x8ckYGerR\ntGZlhnVtQzmL3F2YQ75EMHOVN6+CPtKoUSNcXV2zBOXPibZtrBhUuxaLrbvne8yxycl0Xr+OF6Gh\nVLY052NYLG3rNeP845ucP39e7iUrV1dX/O7f4P2ub3bZDwM/s+OsHxefBPPmYxSpaVJUlJWR/pVs\ntuPgDgzJwaHlRyRiCV6z1vLw0kNqVaqN+7RV6Olk//mkC+lcvHOebb5b0DHQxXmeE9bW1r9cqBUC\n/Q8SHh6OtXVnypdXZ/PmAairq8pdVyqVoqExBdcJg+nSPP9mcb7X7uGx15ew6Fia1ajPuhmLcN3m\nwZ13Tzl48CCQEaT90KFDPHzwgIjISLQ0NKldoRoDrbozpGPPbENeDnWdyr6LxwFY1uMPxjbL/6zU\n7dw53M6fo4qpKcGxUYT7zEQzH5+NXH3sucHcLZfw8urPn3+2zLvCb8ibN+EsX36BEyf8+fRJftfz\nm09e4LhuNzHxifTu3Zvp06fnKZILFizg7pUrBDplv++RE8efPmX0nt0Y6OngPX8K/ezcGdG5P65j\nZmLUtRYDBw1k4sSJcrXl7OzM66f3CNyRc/nAD5F4n3nC2fvvePzmW3IJPX0d9IrqU9S8KGali2NZ\nuRTlapajmEWxLNf+1v8tqyavJj4qnnG9/2R491E59icIAlceXML7xBZU1JVxmudEr169fpnbv0Kg\n/yFevXpF587tGTiwBi4uXQr0y2tltYrg17EcWW5f4HHc8nvBkm0+BH0KRVtDC7FUQrmy5Xj77i1S\nqRQLU3M61G/JxD+GUjkPB4QRi2aw9+IxtLS0KGtgwLWp0/I9nq23bzHdx4d+deqw/9FDrqwYRoua\nlgW8uuxZtv8mdhsv4OHRj0mT8p+N+3ckPj4ZL6+r7N59n5cvQhEpiahgYU63FvXp1bZJthYYO09e\nxmOfL8rKKkybNo0ePXrk2H5oaCjdunXDb85cLOUI3ykIAkN37sD3mT89WjXCedwALt33Z+aKrUSf\neoqWhhbL9qzHaetyLly4IJfLur29PSGvnvDC+888ywJYDvQgMj6JpGQJXZvXIzVNysfwKCJj44lP\nTCZVkpGAVk1NFW09bfSN9DEqYYx5WXNKV7Hk1aNXnNt1HmNDY5bPWE2FUjmbdspkMq4/usY23y2k\nySQ4OjvSr1+/Qg3HAAqB/kfo0qUL58+fY/36gYwcmf+M1H9z/34QDRu4cWnTQorqy/eomh2CIODo\ntZsT1+8B0LpOE4Z06En/NtZyb0iNXjKLXeeO0KRJE+7evk2g87x8r1ee8H/KkB07sGnZCq/r1xjT\nrQ5eUzrn+3pyY/n+W8zaeJ7Vq/sxefL/D3H+EUEQ2L//ARs23ODe3aCvruet61dnWNc2mVzPpVIp\nrpsPcPTKXUxMTHBxcaF27drZttulc2faWFiwYcDAXPt//uULXdevI1maxmrbsTSqniFsPWcsxqxI\nCS6u2ve1bMleDShTsTweHh55XpetrS2RwS94unlcnmWX7r3J3K2X+PzZjXHj9nDq5DNOrHbEzCjz\nJvPH8Ej8At/z8v1Hgj6H8Skihqi4BBKTUkj7IYOPqooqjWs0waRoMcxNSmBhakHpEmUxNzb/OmOW\nyWTceXob7xObiU+Jw9HZkYEDB6KqWjhPgAqB/sX4+vp+dck1M9NnyJCG2Nt3RE+vYJsvJiazaF69\nGvPG537T5ITPpdu47/QhMSkjtsUuRw/6ZuPtlxtjl9qx4+xhbG1tWbJkCR69ezO0Yf429G69e0fX\ndWsZ2bgJV968Jl1Zytvd2cdZKCirDt1h+rqzrFzZBxsbq0Jt+3fm7t2/XM/PvyIqB9fzqLh4bFdt\n58HzQKpWrYqb2xKKFSuWqR0PDw+OHz5MiEvOVj6Lz55h6YUL1KhQmvX2E9HSyJi5h0XF0O5PJ+5u\nOJ5pv+Liw5t0njWUXbt2UaFC7lYXM2bMIP7zax5vHJtrudhEMSY93Zk9pwMuLtYZmd9ruPIxJI4z\nXi5fx5QXgiDw5sMXnr4OYv2h04RHx1HMUAc1VRXik1NJEUuQ/BWzW1lJCTVVNbQ0NdHV1sNApwjJ\n4mTefHiNsZExg4cMZuTIkT/tRq4Q6F/IgwcPaNy4MVVLGXHctT9O2y5z9OYr4pPEVK5kxhSb1owZ\n0yxf61dz5hxhjcdVbm2Tz6b0b+74v8Jp3W7Co2OpXt0cP7+PVLYsj5/32Xy1M959DttOH2T58uUs\nWriQUtraXJw8JV9tvAz9QrOVK+lcpSolDQ3ZcPM6QXttKG5U8KeCH/H0uYuN11nc3XsxfXrB7Hn/\nP/DxYwwrV17Ax8eP4OCsrucvgz5hu3obH0IjaN++PQ4ODmj85eEYHx9PWysrLttMpfYP8Vqik5Pp\nsm4tr8LCmDm0ZxYnqpkrthLw5jPvD97OMqamE/4gLDGawz4+uY59ypQpSGNCuLd2dK7lWk/fzquw\nGD5/XvL1mFgsoWTJuehp6ODjnr0pXW7sPXOVxVsPoaqiTNCeKZm+m7GJYgLeh/PyQyRvP8cQHBbL\np8gEImJTiE4Qk5CSSlJKKvDzSRQUAv2L8Pf3p0mTJiQnJxG8dyoljL/9B9/0D2H+zmtc9QtCkEHT\nJmVwdOqClVWlPNtNTpagq2uDp+1YmtfJOw7Hmw9fmO2xjdchn2nXrgp2du2xsloFQOzpZ2jJGZEM\nYOJKB7b47mPFihXcuH6d48eO8Xbe/BzDjWbHp9hY6i5xo1aJkrh06UJ7rzVsnWXN8I4Fzxr9I2uO\n3GPKmjMsW9aTGTPyl6Lr/zNicYbr+fbtmV3POzWpQ1EDPdx3HEUsSWPUqFGMGpWxUda7Z08q6+qy\nf+S3jbOjfn6M2buHovq6bHWxyWKbLwgC9QfPYPG42UzpndUs9FPEF8r2b46Dg0OuAZ8mTJiAanIo\nNz1zNi09/+AtHex2cfu2LQ0bZjYl/Pw5lrJlHGlYrSKednkvk3zPHf9XTFi0jrLmpRCnxvBu96R8\nibxul8UkpmQkSPgZS4/8CLQiq7ecBAYGYtXaisTERGb2aZxJnAGaVrfg3NLBpJyey5aZ3Yj9nEC7\ndqvR1bVhQP8tvHkTnmPbWlpq1KtnydqDp3MdQ3RcAmNd19Br5iI09ZUICHDm4MHRdO68BgCvaa75\nEucpq5zY4rsPd3d3ihYtymEfHzz79MmXOMcmJ9N4uTsWRYpwdMwYem3eRPt6ZQtVnNcevc+UNadx\nc+uhEOcf0NBQw8bGikeP5pKauoYjR8dTppIBW49fwHndHrQ01ChuZMDGjRto17Ytly9fpvsff3D1\nzRsgY/164DZvhu/aQbeWDXJ0nNp18goikRKTeg7PdhzmxmYMbv8Hy92XZ8rw/SNSqRRV5ZxlRxAE\n+rseplu3GlnEGaB4cQOuXJ3G9ccBrNp9LI9PJzPlLcyQpqdzefUBQmOSGOaWv/pp6RnX9erVq3zV\n+xkUAi0HQUFBWLWxQiwWU8xQh8Vjcl77VFJSYmj7mjzZOI7Ek7OZ0bMhN68EUr68E8XN7LC1PUx8\nfHKWeq6u3Xj+7gPJYnGWc2KJBHuvnbQZZ8+n6AjOn5/KEz8HKlYsRt26bqSmSqlQsgxjrOVfw57q\nMZ+NJ/awdOlSmjZtypTJk2lcugz968qf5VsildLI3R1tNTVuTJtOH++tKKmI8F04QO428mLD8QdM\n8jzNwoXdsbXtkHeF/zBKSkp061aDM2emkJC4iqdPHenUrRJiQYIgyIiNi8PW1pZDhw6RIpGw/vo1\nyi9w4fKb12xymITzuAE5zih3nrqCddO2uc44189YjCCk4+7unmOZ9PR0VHIR6MmeZ0iWSNm/P+cl\nkIYNy7B9+zC8j1/k+JW7OZb7kb834eOTEzkwfx27L/pz6OpzueomiyWkSqQMHtwYX98Tcvf5sygE\nOg8+ffpE61atqVmmFonJiRxx6Sv3Y5GWhhrzhrcmZO9UgvdOpUOt0mxafwMDg+lUrTKf9euvfp1t\ntGtXBT1dDbwOnPpaXxAEvPafpNkIO6499mfz5sGEfFj0ddmkb9/NvHmTkQj12OKcwz7+yHRPF9Yf\n3YGbmxstW7bE1dWVlKQkDo7M26Px+7E1WbGcFGkad2fZsuv+PW68ecOFZYMLHFz/Rzb6PuTP1adY\nsKAbc+bkP+vHf53q1c3x9h5OaOgSIiLcsbfvRNkyxnz+K7aK3bFjlDQ34dLGRTSonrP5WcDbEMKj\nYlg2IXdTUBUVFZaMn8Phw4eJjo7Otky6VIpqDt+P919iWH/iAWvW9Ecjj03AwYMbMXt2e5zW78Yv\nUH63czUVFfzfvqRTo9aM7tKfQQt9CI1OzLPelSfBqKoo079/HXx9j8jd38+iEOhciIiIoE3rNnRp\nbM2Nx9fo0qg8jasWLBC+RTF9vG27E3PMlpseIymho4XNlAOoq0+iZcvlXLz4ggED6+N7LSNd1dHL\nt2k+ajbeJy5gN7s90THLGTHim+vqihUXOHz4EUoiEaOtB1JWzvxyM71c8TqynUWLF9O6dWv8/f3x\n9fVlQ/8B6ORjaaPjWi8+xcZyZ8ZM4lJSmHnkCLMHNKVuxcJJ5rnl1CPGrzzJvHldsbcvXDO9/yJG\nRjpMmdKaGjXNUVYWoaGhgkgEL4M+cuHuk1zruu84QuXS5TE3Nsu1HMD47kMwNzZlzpzsY35I09NR\nU83erribwz4qVTSVO5bKokV/0LVrDUbN9yQsKkauOpoa6rwKyVje8ZqxEAvTkjSZ7J3rsgzAVb8g\nihTRpk2bijx65EdMjHz9/SyFJtAikWiGSCSSiUQio7/+1heJRCdEIpGfSCQKEIlEhe/n+wuJiYnB\nqrUVzau3JDTyC6mSFA469ymUthtXLcnZJYOJPjqLxaOtCHkdSdu2q/H2vkVMfCLNR9oxb8Ne/uhV\nk7i4Fbi4WGeatd+48ZpZMw9jWtQQfR09PG1c5OrXbt0iPA97s3DhQqysrBAEgWlTp9KyXHl65COw\n+UBvbx59+MAVm6kU09Wl41ovKlkYsXB04Zi9eZ9+zJjlvjg7d8bJ6efjWv/Xef8+AiurVZia2nH3\nbhBbtw4jJWUNUulaho9ojNPaXfSbvZTI2PgsdZPFEh6/fIvLSPmjI+529ODx48f4+fllOZeeno5q\nNo4fW0494kVwBL4nJ2Q5lxtHjoyjXHkT+totRfxD1vbs0NXW4u3nkK9/X/U4yOfIBEa5575s8ejN\nFyxLF0VTU41WrSpz5syZfI2zoMjnwZAHIpGoJNAeCPnu8ETguUwm6yYSiYyBVyKRaLdMJsv7U/yX\nSUhIoEO7DlS3rEnz2q0Y7jiImX0ac/beG6ITUohNFBObKCYuKZX45FQSkiUkpqSSJE4jOTWN5FQp\nYomUVImU1LR00qTppKULSNMF0gUBmSDje9sZJZEIFWUlhPSMo4IondDQpRgbZ41/ER4eT7u2HlQr\nXwr/18GccPOWa8ll7oYlrDq4BVdXV9q1y9hoc3J0JE0sZn8+wlhOPXSIM88DOD1hIhWLFWPygQNE\nJCbg551/j8Ps2HHOj1HuJ3Bw6ISzc+Gmf/qv8eTJB8aO3c2DB0GULWuMr+8EOnf+loVESUmJ9esH\nMm2aFZ06etLuT0fG9+7EuF4dv5ZZs+8Eulo6WDdrL3e/jarWoXnNBjjY23PC1zfTOSFdiqqKeqZj\nYomUyZ5nGDe2BaVL5y9BgZKSEg8fzqZEibkMmOPO4WWzc70fDHS1+RD++evfxoZF2e20hj5O4+nR\npCLdm2VvdfX6cyztu2Yk3u3atRK+vkcYMKDw9lpyolAEGlgJ2ALfb4vKAF1Rhj2KDhANSLOp+1uR\nnJxMl05dsChiSY9WPek7KyOw/PJDd/A4eg8VZSVUlZVRU1VGXVUZdTUVNNVU0FRXRVtdBdMiOuhq\nqqGrpYaelgb62uoY6GhgqKtBEV0tiuppYqSvhbG+Fjpaapm+TNf8gmg1fTufPy9BJ5tUUIIgUKfO\nYowN9fkSEUPzmg3kyrrisGkZy/dvxMXFhfbtM260Bw8ecO78efYOHyF3EHe3c+fYdvcOe4YNp2Hp\n0lwODGTn/bscdO5DkQI66XzPrvN+DF9yjDl/OScoKBhXrrxi4sR9vHjxhRo1SnDzpi2NG+cc+a5i\nxWK8e+/K4sWncXI8wZHLt1ljN55yJc04dvUeIzr1z/cY9jl7UbJXAw4cOEDfvn2/Hpemp6OmknkG\nPcD1MBqaqqzx6pfvfiDDkuXJE3vKlXNiqvtmPGxzdoIxKaJHaGREpmPWzdoxrGNv+i44zId9NpgY\nZnVZD49OpGnTsgB06VKNOXPckEqlcnvpFpSfbl0kEnUHPslkMr8fbAPXAMeBz4Au0E8mk2VZ6BGJ\nRGOBsQAWP6RI+qdJTU2lh3UPdJX1qV+5Af3tMuIfW5hZEBkTypMNYylfMu8YBgVl/s5rVK1SPFtx\nBujYwZPoqGR6WzVh39nr+CzYmGebzltWsGzveubNywipCBmmTrYzZ9K+UiU6Va0q19i23r6F27mz\nrO7Th87VqpEoFjNwmze9WlShV4ufT9C5+4I/Q92OYWfXnoULc44noSBnDh9+xIwZhwkJiaJJk7IE\nBDhTuXLe68Z/M2dOJ0aNakrnzl70mrmY+lXKk5QixmXU9HyPxcigCOO6D8HDw4MePXp8zQgjpAuZ\n1qDvv/zEsZsvOXkyfzbJP1KihCGXL0+jWbNlrN5zHJuB2f/AmxsX5cW7gCzHN8xy4+qTOzSdsp3X\nOzMHcpJIpKSkptGuXeWMNswNKVXKiFu3bv3ywP9yfSIikeiCSCR6ls2rOzAXyC5YcAfgCVAcqAWs\nEYlEWdzKZDLZRplMVk8mk9UrjPxrBSUtLY2+vfsiJIGxgQmzPWYhCAJ/tOnFwWVHKWNenuqj1/P0\nbdgv6V8QBK4/DWHqtOzXcefNO8HFSy9ZOX0Ue05fZeEYW/R0cg8B6uK9CrfdXjg6OtK587eNNvu5\nc5Glp7Nr2HC5xnbC/ynTfXyw79CRYX+5f1tv3ICOthr7HXvJd4G5sPeiP0MWH2HWrPYsXix/ei8F\nGWzceB1TU1v69t1ElSqmhIQs5saNWfkS578xMdHDx2cclpZFuRcQiCAIdJ41jAOXfPPcSPuRFZMc\nUVNWYeHChV+Ppaeno6b6bV7Yw/kAzZuXp1OngidK/pvGjcvg7T2Mrccu4HvtXrZlLEyNiU/KarUh\nEom4uuYQIWFxjF2eeT361vOPKCsrUbz4t/gnTZtacP58/jx2C4JcAi2TydrKZLJqP76Ad0BpwE8k\nEgUBJYBHIpHIFBgB+MgyeAO8B/J2q/sXSE9PZ+jgoUR9jiY+MZ6dvtsoUb4E2prazB5pj5KSElvm\n76RGhdrU+3MTtwM+FPoYtp5+AiIYMSJrqqZTp/xxcTmFw+h+eOw7Scli5kztm7ur7MIdHizc6Ym9\nvX0mz67bt29z+coVdg0Zipocj2e33r1j2I4djGnShFl/rV2vunSJxx8+cHXl0J8OyXjgSgCDFx1h\nxvS2LFmiEGd5EQSBRYtOY2AwjYkT99K6dUUiIpZx6tRkSpTIPZ9fThw+/IjKleZRqtRc3r+PRNeg\nCIOmuvBFKmHYomnotK9E0wl/sP30QbnEWklJCU8bF06fPk1oaOhf4/5mxeG87TIRMUkcOyZfZDt5\nGDq0EXZ27XFYu4ungUFZzpctaYo4NTXbuqZFjNnhuIrNpx7je/ubM8qlx+8xNPi2hHfypD8HDvjR\ns2fBMgzlh5+6u2Qymb9MJjORyWSWMpnMEvgI1JHJZKFkbBhaAYhEomJARTIE/bdCJpMxdsxYAp48\n503wG56+ecKEZRP49OYTTuPmfxUgJSUl1tpvonHNZjS32cbFR4V7Kat87tKiedY8f8HBUfTosR7r\nlg3Q1dLkxfsQji7clGtbi3euwWXbaubOnUv37t+Cs0skEmbb2dG1WjVaV8w7o/bL0C9Yb1hP12rV\nWfZHxlr8q7Aw5p8+xeLRVlSy+LknnkNXnzNgwWFsbKxY5v7zM/H/AhKJlBkzDqKjMxUXl5MMGFCf\nhIRV7N07iiJF8g73+SOJiWKmTNmHvv40evfeyMtXGUJat1VHlvvcpaX1AOas9cHr7HOG2S0lRkmZ\nP1c4oN2uIg3GdmPDsV1IpTlvLQ1s/wdlzUthZ2cHQHq6gJqKEpGxySzafQOXBd0wMPj5/YvvWbz4\nDzp3qs4oF48s5ncVLMxJF9JJ/ysZwI/0bNGJgW170HveISJjMxzKHgZ+xsIiI4Le2bMBjBixh+PH\nT+UYMbAw+ZV20AuAJiKRyB+4CNjJZLLIX9hfvpHJZNhMmcrJE6cIDHpFuqqUVRdWcmj1ISpYVqRN\ng6wBeZbPWE37xh1pb7uLYzdeFso44hPFPA8KZ978zCZlEomU+vXcKF28GI5j++O8fi8D2/agSumc\nI4Yt2b2Wed4rsbOzyxIb2M7ODhVg26DBeY7pU2wsrVavpp5FKXYMGwZkzNq6rl/3f+ydZUBUWxeG\nHxBpEAFRLOzuuAbWtT470WugiK0YIKhI2oKBBRhYiIqK3d3dgQrYgiApJQzDcOb7gUW3gT6/9Myc\ns1YZk9sAACAASURBVPcMc9bs2Wu976JxtdLMGJy3vn/7Lz/jv3l7mDLlX5yWF/xK5HcnNlbEyJHu\nqKpOZd26K5iZtSc2dgVr1gzJUtSRHrdvv6F166UUK2bGRrerxMZ+U7AOnGjFOLuULdNkZWVp1rEn\nM1bvwvmEN2NnryZeRZVprvNR/V8NGo7qyordGxCJ0yphd8525dmzZ1y/fh1BSEKhqBw9bTwpU0YD\nS8suaZ6fHxw8NJ5KlbXTlN+pqyojgwwv3r/J8NyNlksopaWD/tQtAPi+/0idurqcO+eDoaEH+/cf\nplmzZgUy79Tka4D+vJIO+/zvQKlU2lkqldb9vCWyLT/Hyg+sraxZ7byKkPBgqjaqwvIzTtw6dZsQ\n/xCWTcu4nfxck4X0az+Afva72XY6ba1nTlmw4zLq6kq0apXSTL9tWydE8RK2zjPH1nkbRWSL4DbD\nMYOrwFLPtdhtXMaMGTPo3z/livTSpUtcvXqVHUYjssw8f/HX0NPU5NiEbz8/R27fRqxYxLllw3Px\nKr9x8IoPBnO8MJnYjuUrBmZ9wh9MSEg0/fqtRUNjGgcPPsLBoS/R0ctZsKBPjisIBEFg2bLTlClt\nSbNmDkQFxqBfpxzxCRIEQYpskSKYLt5MR4PMyy5lZWVp2KoT5k7bcDnxhEkL3ZBqamO7yYliXWpT\nx6gjizxciBMlr0DrVa7B//5py+zZsxEEgWdvQ7n5LIBDh3NW85wTZGVluXdvFrJyMNQqpT9I0aJy\nPH6V8eJKVlaWi6v38jroIyYrj/EhPAYlJXn++28Le/YcQF//xzUlLtgakV+YhQsWsshhEQDdjbsx\n2GIwYpGY7Y7b6d9pACW1SmZ6/syRVigrqTDcYQsx8WIm9Mp5y6oveJx5TN++Kc2Fpk7dxe3bb9i3\ndBYBwaGcuH6PXXNcM7wpl+9yw9ptCRYWFhik6r4tEomwsbamf4MGtK5SJdO5fPXXUFDgstm3NkqH\nHz/iwKOHnHQ0RFU55yu2Lxy66ku/2bsZP74tq1bnrqzqT+D161BGj97O+fO+6OoWY9Om4QwfnruG\nu+/eRTBtmheHDz9CBhn66len9+gOTFhxDB//RGSLyKKopILV2gOU0M25UrbOP22o87nc0+/hLU7t\ncsPBcw2zNztRUbc8gzr2xHXaAqoNaYsgFdh3+RkDBzShXr2yuXo92UVRUZ4HD62pUsWWaU4bWWEx\nBgBlRQV832W+RVlauySbrZwYNm8qUqmUbdvucPDgYdq2/bGt1f7IAL1s2TKsbZJ9BUyWmtCyW3Ji\nznWGKwpyClgMn5mt60wePBUVJRVMVroQ80mcq5/9z/3DCQqLSVH3u2vXbVavvoDjVCMqlilFF5PZ\nNK1Rnz6t0zcLWrVnE5brHDAzM0tRc/oF82nTUCxSBLcsumh88dcQSRJ5ZGX9NYkYERfHqO3bMe7S\nkE5NKuf4NX7hyHVf+trvYuyY1ri45Ly29k8gpbhEh8OHJ9K9e92sT0yHvXvvYWd7mGc+QZTVKcbS\nsZ0w7tKA/nO8GDJ/LxVrVSDGLwCdshWwct2HQg6cEDOiWv1/qFb/HwBe+zzk5I71rNzrzsKtzijK\nKyASSygiK8PyFT9mW6ts2eKcPWtKmzbLWOV5mCmDe6KuoszroHdZnqumpIKMjAxSqRQvr7106PDj\nG0T8cQF6seNiZlrORK6oHPO95lGuWvKK4a3PO+6cvcvSactzVJkwss9oVJVUsdzgSEx8AvNGts/R\nfGw3n6d8OU3KlUvOvD97FsTQoZsZ0qUNXVo2ZsP+kwRHRHJnffolPav3bGa66wJMTU3TVTadPXuW\n23fucGpS1nWmX/w17s20TGE52n2NKzqaKriZ56xLy/ccv/mc3ra7GDVKnzVrc9c5pjCTU3FJRsTG\nirC2PsiWLdeJjU2gbX09tq8bS4Mqumw8dg/tfktRUFak89DOnNpxmgb6nRhnv7pAGqRWrFGf8XNd\nAHjr543TtGEgTiBJkFK6tCUygLy8HCoqChQvrkzJUuqUL1+cSpW0qVGjFHXrlqFWLV3k5fMWpvT1\nq7Bp03CMjbdSuWwpiqur4B8SlO5zXwf5Y+u25GtHewALCwu6dv05Zl1/VIC2tLTE0dGRYprqLD2x\nFGXVbyuGFZNXUKtybdo0bpfj6w783yCUFJWYt3420XEJrJyU/T/m0VvPmT4zeWUcFyemRfPF1Kms\nx0xjAyJjP+G6+zhWhpPQ1tBMc67rfncsXOczZcoUhgxJG/Ti4uKwt7NjSOPG/KNXIdN5fPHXuDbN\nHN1ixb4en3v8GH7BwbzYNjnXN/HJ2y/oYe3JSGN91q/POkH5J5FaXOLtbUetWjk3nLpz5w3TzPZw\n9dpL1FUUGd2lIfOM26GsKM/7sGjqjV6L9+sQOg3uiESSxKntp+lhNIWewycVwKtKyWufh6yaYYyc\nkMQpk0k0q1gRQRB4GRbKk6AP+AYH8yo8jIDgSO698ufsUV9iEkQkJEqQSqUUkZVBUVEedXUltLVV\nKF2mGBUqaFGlig61a+tSv37ZFDXK6WFk1IKnT4OwXupBg2oVCf74TU0oEotw2O7KluN7CAz98PX4\n5s2bMTIyypM5f175IwK0IAgMHjyY3bt3U6lOJebsnJ0i2JzYdpKwoDDcnXfkeoyebXujoqTCrJXT\niY4Ts3lG7yzPOXn7BXGiRGbMSK4vbtbMkSIyRdg4O7ndlOliN0oW18Z2xNQ056494IHZ6rmYmJhg\naJh+0DMzNUVNXh7ngZnv9X7x1zhhMolq3/Wwe+Dvz/Jz53CZ2hW9UpnfABlx+s5Lus/agdHwFrht\n+Bucv7B+/WXs7A4TGhpD5861uHLFIsf1y4IgsGLFOZyWnSEwKJI6FUuyf85/9NL/VkJpveEsjjuv\nUrKcDouPOOJmu4EXD18yfrYzDVtn318jt3itdeCM1ybaVq2K18hRX7fNZGVlqapTkqo6med6YkQi\nngQF8fRDEM9DQ3kXEUHQsyie3flAZPwd4hPEJH4umZMvWgQVZQWKF1dBp6QqZcslr8arVy9J3bpl\nmDOnB0+8gzh67DE6xbXYe+EYiz3X8uD5ExQUFChSpAiysrJYW1szc+ZMVFRUCvz9yYo/IkCvWrWK\n3bt3o99Tn4mOKYviRXEidi7ZyeAuQ9HW0M7TOO3/6ciKmS6YLZ5E9KcE9s7JvEJh/rbLNKhfDkVF\neYyMtuDr84Ejq+yQl5Pj4l1v7vu+4sbatF0f3A7tYOqq2UyYMAGjzyVwqTl27Bj3HzzgwlTTTFe+\ni06exP3mDbYbjeCfChW+HpdIJPR2W0eb+nqMz2UC9Oy9V3S13I6hYTM2bc5b5UdhQBAEHBxOsnjx\nKT59SqB//0a4ug7Kcf1yQMBHzMy8OHToETJAX/3qLFthnKLH3l2/QHrZ7CIk8hP/WQymda9WWPe3\nIS4mAVu3w5SpUDXjAfKBqIhQlpoOITzIH2eDARjmsixNTVGR5hUr0rxixQyfIwgC/pGReAcG4hMc\nzOuwUPwjIvF+F8jl0y+IEYkQiRMRpFJkP6+GQz6GM3TeFOrUqcOAAQO4cuUKLVu2ZOnSpejpZc+6\n90fwRwToCp8DT9+JaT0eXCxcUVZUZsqQ/HFja1GvJetsNzJ+/mg6z9jGqcXprxolEoHrTwPYvt2Y\n9esv4+FxE2fL8ehqayIIAlarPejT+n8puicDbDq6i0krbBk/fjzGGbjQxcbGsmD+fEY2b06Dshln\nyjdeu4bjmdOsNDCgW52U4/y3ZTMCAicchubwHUjm3L3X/G/GNgYNasoW9xG5ukZhQSyWMGvWftau\nvUxSkoCxcUucnAxQUspZNcz+/fexsT7Es2dBlNEpxuIxHZjc958UX8ASiYChw352n/emesNqzD5i\nTkhAKKadzFDT0MZh52mUVfOvkW96XDuxF49lNpTX1OSSlTWlvtsyKwhkZWXR09RET1OT7nUylowf\n9X7MGE9PEiQS9Fu1wtjYmFWrVuHj44Onp2eB+2rkhj8iQPv7J0uz/e76oav3zZ/glfcr7l+8z8qZ\nLvmaJKlfvSHu87ZjbD+MlpM3cWXliDTXX3PoNnJyslSqVILmzR0Z1/9/tG6YbDo0Z91OkgQBD+sV\nKc7ZcsyLCcusGDNmDCMz6X4yZfJkiisps/Sz+i89Dj16hPn+fVj/739f/TW+sP32Lc76+nJ1lTEK\nuUjQXHjwhs4zt/Hff03Ztj37XVoKG8kqvV1s23YLeXk5TE3bM2dOjxzVL8fFibG2PsDmTdeJiRXR\npp4eHmvH0qhaWp+Ng1d8MHQ4QBIymK4ypUmHJlw9cpW1luuo3rAFUx03FUgy8AsSsRhn67E8u3eN\nia3bsLDXr+FI+D4ykqHu7jwI8KdN69ZMMzdny5YtTJ8+nfnz5zNq1CiKpONR/SvwRwTogIAAAN48\ne8v3VYwrp6yiXrX6tKjXMt/HrFahBjsWeWFo9R8Nx7lxd82YFK2gnA/doZV+Zdq1c6J53epMHJis\nInz9PpgDF26w2XLpVwcwgK0n9jBuqSWjRo1izJgxGY574MABvJ884do08wxvxmuvXmHk8dlfo2PK\nJqxBUVFM2eOFWf9mueoec/nRWzpO92CAQWO27/gzg3NISDTjx+/g0KFHFCumhINDX0xN2+coON65\n8wbzaXu5cvUF6ioKjPxfA+aP/BfldFSDkbEielh7cs37Hc27NmO8wwTk5OTwXOrJ0c3H6GgwkgET\nLPPzJabh5ZP7rLIcSVGpwJnJk2lS/udvE0gkEiwO7Mf95k3KlCmDu7s79+7dY8SIERgZGbFp0yY0\nNHKXW/lR/FEBOvDVN6PuIxuPEBHyEc/ZXgU2rl7pCngtPcCgmf2pNdIV7w3jkZeXIyI6Dr93YUSK\nxKgrq+A669u++JTFbtStVIMhnb8ZB207tY8xi2dibGzMuHEZt5qPiopisaMjE1q3ppZu+k5mX/w1\netb95q/xPV3XuFJJtzjLJua8QeuVx+9ob76Vfv0a4rlzVI7P/93Jq7jka9LP6QyBgZHUrqjDvtkD\nMzSRB1ix5wYz1p9BTVOdebvnUbF2coWE45jFPL7ujbHlEpp3yjphnRd2Oc/j3H4POlSvjucI42yZ\ncBU0u+/dxXTvXgQZGaysrdHS0sLOzo7q1atz/fp1qmfDi+ZX4Oe/kz+AoKDkmsfwwHAARJ9EeK3a\nw/AeRmio5875K7uU0tZln9MRBkzvTZXhzvhsmcicrRcBiIqM54TLt4oSzxMXCQgO5cLOfV/P9zxz\nkFEO0zEyMmLChMxdvyaZmKCjpsaiXunfkF/8NZrq6bF1eNrk4vT9+wiI/EjALtMcv87rT/z5d5o7\nvfvUZ/fujFf4hZHvxSWVKpXIsbgkIOAj06bt4dDBhyCFPvrVcVqeMumXmpfvI+g6awcvAz/SY1QP\n/jNLTkjHxcZh3d+GyJBoZrnsoUL13IlcssPH0CCWmQ7lY0ggawcNylFH+ILieUgwQ9zdeR4SQrdu\n3TA0NMTZ2Zng4GBcXFxS2O7+DvwRATo4ONnDOSoiuefaKtNVqCmrMWFgwdeAAmgW02S/01EGTu9D\nxaGriRcnIgOss574tRV8nEjE0q0HmGIw8mtzzp1nDzFi4TSGDRuGiYlJJiPA7t278fPz4/b0Gek+\n/r2/xtHxaQP9lZcvcbt2DY9ZfdPtKJEZN58G0MZ0Cz171mPPnoxX+IWN78UldeuW5cqV6bRsmX2l\n5cGDD7C2OsTTZ4GUKVEMh9EdmNLvn0y3QgRBYMrqE6w5dIdyVcuy4owdWqWSm0gEvgrEbpA9Copq\nLNxxHvXieatKyozLR3axY6U9lbRLcM3GlhJqmXuTFzQisZhxOz05+Pgx1apUYZuTE8eOHcPExARr\na2smTZqUYsvwd+GPCNAhnwO06FM8zx8859G1x7hYrSuQhElsXCwBwf68DwkgKCyI4PAPhEeGERH9\nEXVVDV6/T/YAmDqkJ41qfvPFMFu6EQ1VdRaNS94r9Dp/FKMFZhgaGjJ58uRMx4yIiGC5kxOm//5L\nFR2dNI9/8ddQTeWv8QWRWMx/mzbSo0VVhnbM2Yrrts97Wplupnv3uuzbPz5H5/6u7Nt3H3PzPbx9\nG06LFjkTl3xN+m2+TkyMiNZ1y3NnTfpJv9RcfvSWvva7iYlPZOTcUfzbv93Xx+6eu8fKqSupUKMe\n5st3FFgrJrFYhLPlaHwf3mJqu3bM6Z57dWl+sebyJeyPHUNeQQEHBwciIyOZOnUqffr04dmzZ+ik\nc0/8LvwRATosPHlrQxAEVkxeScMajWha+58szxOJ4nkX7E9gaHKwDQkPJiwylIioCKJio4iJiyFO\n9AlRgohESeJXj1kZGRnkisohLy+PorIiSqpKxERFExUeDTJQtIgco/p8EwnceuzLjce+nF25E1lZ\nWfZeOMaweVMYPHgwU6ZMyXKeJhMnUkZDA/tuaTtgC4JAi3T8Nb6nzwY3FBSKsG92zsyL7vgGoj9l\nM1261OFAPpqu/6qkFpdcumTxVaKfFffuvWOamReXr7xATVmBkV0yTvqlRiSWYDDHi2M3/KjXsi5T\nVk5FUfmbFP/A2gPsWb2XVt0GMsx8fq5fX1b4PbqNs9UYFGXgwlTTTEs4fwS3377BaNs2PkRFMWjw\nYFq1asXKlSvR0tLi1KlTP8SvuaD5IwI0QNGi8iQmiokMj6RFR31We64g9GMoH6M/EhUbSUxcNJ/i\nk4OtOFGcMtjKyVFUoSiKSoooqSihrKGMWkVVSmvroqlTHC1dLUqUKUHJ8iUpXrJ4ihXq/Yv32WC3\nkZjIWP4d8C+foj8R4v326+OCIDB9xRb+909bWtVtyoHLJxk6dwoD//sPM7Osa7O3bt3Kq1evuW+Z\nfpb+f64uBKbjr/GFtZcvc/P1a+6vH5eiyiQr7voG0nLyJjp1rsnhArSN/NnkRVwiCAKrVp1j6dLk\npF+tCjrssR9A39Y1sz2+x+mHjHM6ShEFeSw3WFKnRco635Wmq7h9+jaDJtvxb5+CU2puX2HPpcOe\ndK5Zix3Dhxd4s9TMiIyLw8jDg4svntOwQQMcpk3Dw8ODBQsWsGzZMgYMGPBT5dn5yR8ToOUVlUhM\nTDbu3nTYLTnYqiqhXEwZtXKq6GhVpriOBlqlvgVbTV3NXH8Q3/i8wcXClaDXQdRvU5+JjhNQUVfB\nur8N5XS+7Q0udt9HXIKYnbOdOXTlFIPsTRgwcADm5uZZjhEcHIyriwuzOnemglbaZraDN2/mvr8/\n181T+mt8nWN4OFaHD2E3vA31Kmcuuf2eBy+CaDF5Ex061uDo0R+zj/+jyYu4JDAwkmlmezhw8AFS\nQUrvltVxcjKmbInsC0Q+RMTSzcqTB8+DaGfQjpH2xim++BPiE7AbNJsPbz5g7uRBtfoFYyAfHhzI\nMtPBRIWHsGHIEAwaNiqQcbKDIAgsPHmS5RfOo6GhwYoVK3j06BGTJ0/G1NSU/fv3o6ycv91ZfjZ/\nTIBWVFRCFBdLUlIS87zmolsx5w01s0P4h3BcLFzwve9HpdqVWHZ8KSXLfwt+ER8i6NguuSPK+9Bw\ndp64xGrTeZy9e42B9hPp178fFhYW2RprkokJFbW1mdGpU5rHpu7x4uRnf430/A4EQaCLqwt1K+pg\nb9Qu26/v0ctgmpls5N9/q3P8eOZ7478jyeKS3WzffpOiRXMmLjl48AE21od48jSQ0trqOIzKOumX\nHnPcLzBv22W0dbVwPORAmcplUjwe+j4UGwNboCjztp5Bq2TOzZWyw/kD29jlPJ+qJXW4aWOLtmrO\nW2rlF2d9fRnjuYNokYgxY8eiq6vLokWLaNeuHY8ePaJcuZzX7P8OFPoAnfC5QaS8kjKCVIpWSV2W\nTXJi6dEl+TqO6JOIdVbruH3mDiXKlsB+mx3VGqZtTfUp5hMNqyf7CkxxXE/VcpUoq6NLX+sx9OnT\n52vvtqzYuHEj/v7+PLayTvPYopMn2HrzZhp/je+ZsGsXH+M/8Wx59hN73q+CaTrRjdZtqnLyVNZ7\n478TqcUlixZlT1wSFyfGxuYgmzZdIyZGRKu65bnlOoYm1XMeNB+/DKa7tSeB4TEYTDGg15i0Sjzv\n694sGb8U3fJVmOnihbx82m2rvCJOiGfljJG88L6Lefv22Hb9eaVpQVFRDHV3557/O1q1asXQoUNZ\nu3YtMjIy7Nmz54d2N/kZFPoAHRqabCsoJ1cUqSAwfrYrC036c2HvBdp9lwXPLYIgsN1xO6c9z6Cs\npsykpSY075q+OEH0SUSSJInGtapw4Px1XvoHscZ8EX2tx9CrVy9mzZqVrTGDgoJYv3499l27UiaV\nEirZX+NMuv4aXzj17Cm77t3h4LxBFFPN3g3u/SqYJhM2oK9fhTNncl4n/avy+nUoY8Zs59y5ZHHJ\nxo3DMDJK21k9Nffv+2NmtpvLl5OTfsb/q8+CUe2zlfRLTVKSwMglB/E4/Zgq9SrhvG8R6pppt0NO\neJxkm8M2mrTryhjbjFuy5YVn966zxmY8SkVkuWw2jbqlC2Z1nhWCIGC+bx9bbt6gTOnSrF69mlOn\nTmFnZ8fChQsxNjYuUNn6r0KhD9BhYcl9aqWf/1+uai1adTXAfYEHrXq2Qi4PZuDH3Y/jtWoPUqmU\ngaYD6TEybRXF9/jc8flqabhw4x7aNWrJBCcrevbsibV12pVwRkycMIHqOiUx/Tdlc4DM/DW+EC0S\nMWzrVga3r0vPltlTUz15E0KTiRto3qIi587nj6nUz+bhwwDGjt3G7dvZF5cIgsDq1edZuuQM7wM/\nUquCDrvtDOjfplau53H8xnMGLdyHOEma6Zf7ems3Lh24RJ9R5nQdkv+15oIgsM3JlqvHvehWuw5b\nDQ1/WiJw9727mO3bh0QqxWL6dEQiEba2towcORIPDw/U1QvW7OlXotAH6C8raIkkERkZWWRlZRlq\nNo87F46y3nodE5dkLgBJj1unbrN57mY+RcXS/r8OGFoOzdaH2e++H+qqysxc4Y4glXLh/nW6d++O\njY1Ntsd2dXXlQ1AQ52xsUxy/mom/xvf0WONKcXVFPGaldfZLj2dvQ2k83o1//qlQKIJzbsQlqZN+\nvVpWZ7nTiBwl/VIT8ymBXna7uPjgNU07NMFk6aR0FwsSsYQ5w+bx9ukbTBasp17zdrkeMyNCg/xZ\nZjaU2IhQ3A2H0bt+/XwfIzs8DwlmqLs7fiEhdOvaldZt2uDq6krdunW5efMmVasWrEXqr0ihD9Bf\nVtBJEglFvjMLNzRfyIZ5pvSd2C/bCcMXD1/gOnMNIf4hNO7QmHELx6boypIV73zfoSRflPN3HgHQ\nrVs37Ozssn/+u3e4b9nCol69KfndKuJZUBC9162lVwb+Gl9Ycvo03kGB+GwxydbPQ1//MBqNW0+T\nJnpcuJhW4PI7kRtxyaFDD7GxPoT3k/eU1lZn4cj2mPZvluf3wfXgbcxcT6KsroL9dnuqNkg/8ESG\nRmLd34YEkYTZm45TslzGnsi55czeLexZs4gapXQ5ameP5k+oghCJxYzftZMDjx5RtUoVls+axc6d\nO9m8eTNubm507lzwjQV+VQp9gP5+BV30O6ln03bdOL7dFadJy1lydHHm13gfirO5Cy8ev6Ba/apY\nbZ6Ftm7OZbTB74IJDI0AoEuXLsyZMydH55tMnEjt0qUZ37r112PvIyP5d1Wyv4Z7Ov4aX3gaFMTC\nUydZNqEzVcqmLclLzXP/cBqMXUfDRuW5dDljZ7xfnZyKS+LixNjaHmTTxmtEx4jQr1uemy6jaVqj\nTIbnZJe3HyLpMmsHfv5hdBnelcEWgzJ8X188fMH8EQvRLKHL3C0HUFTO3wqKBFEcK6aP4PXTB1h2\n6szMnxQE116+jN2xo8grKGBra4uvry/z5s3D1taWiRMnUrRo0Z8yr1+FPyZAJyUmIq+glOKxifPW\nYT30Xy7tv0SbvmnNuuNi41gzcy33L9ynVIVSzNs1l0p1ct7I8wthn82aOnbsyLx583J07ooVKwgP\nC+Oanf3XY1/8NSpoaaXrr/EFiURCj7VraF6rLKYGWburvXwfQf2x66hfvxxXrlr8dsFZEAQcHU/i\n6Jh9ccmDB/6YmXlx6dJzVJUVGNG5HgtGdkBVOe/+DYIgMH3dGVbsvUHpiqVxOulEiTIlMnz+xX0X\ncbPbQJ1/2mIyP/8tCZ7eucIa2wmoyhflmrk5NUsVTMlpZtx9947hHh4ERUUyYOBAypUrh4uLCwYG\nBvj4+KCtXXA+Ir8ThT9Af0huAimRJKJWLOXKSbtUGfS7GrBlvjstu7f8ugcokUjYumAr5/dcQE1D\nDdPVpjRp3zjLsWIjY3nz7A0BL97z4e0Hwt6H8jEkkuiPMcTHxCFOEFOzZk0WLVqUo9fw6tUrduzY\nwcr+Bmh97pOWkJhIs6VLUFVQ4JKpWaY38fBtHoiSEjm9JGul2cv3EdQdvZbadUpz7fr03yo451Rc\nIggCzs4XWLrkNAEBH6mZD0m/1Nx8GkAv2118jBUx3Go4nYZknB8A8Fjkwcltp+gyeDx9R0/Lt3lA\n8ut1XzKLG6f206tePbYMNfzhf99okQijrVs5/9yPBvXrM3GgBVu2bCEwMJBz585Rr169HzqfX51C\nH6DDQkKQlZFFSJKgpJLWcWuI6VzuXDjGepv1TFw8kUNuh9jvegCZIjIYzhzK/wz/h0Qs4Y3PG/x9\n/Ql6HURIQAjhQRFER0QTG/UJUZwIiTgRANkiRZBXUERZVQ3VYpoU06pAxepl0SlbgV3O85k9e3aO\n5i8IApNMTGhUrjxGzZt/PdZyuRMJEkmG/hpf2HP/HseeeHNumVGWJWCvgz5Sb8xaatXW5eatmb9N\ncM6puCQwMBLzaXvZf+D+56RfNa4sMaJ8yfxrzSQWSxi0YC8HrvhQ659aLFhtmmm+QhAEFo10wOeO\nD6NtV9C0Xf7WHocEvGHZtKHERX1ku9GITFtDFRQLTpzA6fw5NDQ0sLe35/Lly6xbtw4nJyf6nEJy\nEgAAIABJREFU9u1baOTZ+UmhD9ChISHIFZElSSJBWT1t9wQ5OTmGmS/AbZ4pV49cSz5WVA5VdTV2\nLffCw2E7UkFARkaGovLyKCqroKKugZqGNhWq1aJEGT109SpRplINSpapkGlQ2+2yIMfzX7pkCVGR\nkeyb8q2z9/9ckv017mfgr/H1tcfEMGHnTsb1bEK7BhUyHefth0jqjFpD9RqluHXb8rcIzqGhMYwb\nt/2ruGThwj6YmXXIcO6HDj3ExuYQ3t7v0dVWZ8GIfzEb0DzfX+vuC08wXnwIGbkiWKy1oEHrBpk+\n/1PUJ6z6WxMT8QnrdQcpVzljg/7ccGrXRva5LaZO6TIcmWpPMSWlrE/KR876+jLWcwdRIhHDjYyQ\nSqWsXLkSCwsLjhw5gmImn+E/nUIfoMPCwykiK4s4KSnNFscXGrftitu8ZPGFhrYOFWvUR1u3LCXL\nVaa0XhXKVq6e70ma7ODr68uevXtZM2gQGp+z64M3b+J+QLK/RlbNOLutdaVMCXXWmGZen/0uOIra\no9ZQtXpJ7tyd9csH55yIS+LixNjbH2LDhmtER8ejX6dcviX9UhMWGUd3a89kC9berRg9d1SW5Zdv\nfd4x13AuyqrFWbTzEqrpLCJyiyguluUWw3nr6411ly5YdOiYb9fODkFRURhudefuu3fot2xJ6zZt\n2LRpEx07duTx48eUKZP/f4PCxh8RoGVlZUlKTES9ePrVCzfPHKSIbBEGN2nM9tu30SpVlgETrH7w\nTFMiCAJTJk+mecWKDP7cqSLZX+Nphv4a32Nz+DCvwsJ4vWNqps8LCI2m1khXKlUpwb17Vr90cE4t\nLjl0aAI9eqS/Z/nggT/TzPZw8ZJfctKvUz0WjMqfpF96LNpxGbvNFyiuU5wFexegV6N8lufcPHkT\nZwsXqtRpwrRlHvn63j+6cYH1cyZRTEGBmxbTqVYy+2ZYeUUQBCz272PzjRuULl0aGxsbDh48yOnT\npzlw4ADNm2e/DdifTqEO0IIgEBEVhZK8AkilFNMule7zTnquR79SJVwG/kfbKlUYv9Odl4/vYL5y\nR4F4HWSHhQsWEBcbyx7zZOOkL/4ansYjM/TX+MLtt29wvnSRjRY9MxVTBIRGU9PYlQqVtHnwwPqX\nDc7ZFZcIgoCLy0WWLDlNgH8ENSqUYJetAQZt8y/pl5pnb0PpZuWJf0gUfcb3oZ9JxnXo3+O1youD\n6w7Rrrchg6dkvxY+KwRBYNMiC26fO0L/Bg1xGzz4h/5dve7fw3TvXiRSKePGj8ff3x83NzccHBwY\nNmzYL/sZ+1Up1AE6MjISVSUlEiUSAIqXSBugYyIjCHz7Ao/JyeY/Axs1plG5cnRwdmamgT4znHej\nWz77bYzyg8ePH3Po8GE2GRqiqqiY7K9x+jSrBwykS63Mg41YIqHfBjc6Na6EcdeMDcsDw6KpZexK\n+QqaPHz4awbn1OKSx4/tqF07rbjkw4coppntYf/+BwiCQM8W1biyeHi+Jv1SIwgC45YfZeOx+1Ss\nqceqnfPQKJH19oQgCCyftJz7lx4yzHwBrboNyLc5Bfm/wslsKAkx0ewyHsn/svis5CcvQ0MZ4r4F\n3+BgOnXqRIUKFfD09GTcuHHs2LEDtZ/cEut3JU8BWkZGZjYwBgj9fMhKKpUe+/zYLGAUkARMkUql\nJ/MyVm4ICwtDS02d9+HJakItnbQ394FNy9FUVaOJ3rc28VVK6PDc1o6ua9cwZ2Q3jGY40OK7LtsF\niSAITDM1pXWVKvSr3+Cbv0aXLgxrlrXn74CNG5AtAofnD8rwOYFh0dQwdqVM+eI8fGhNkSJF8vMl\n5Bk3tyvY2h7KUlxy5MgjrKwOfk36zR3RFvMBLQr8y+bsvVcYzNlDvDiJ8YvG0apXq2ydJ/okwmaA\nLWGB4cxYuZPKtfOv48fxHWs5uGk59cuW4/A0M9R+UOItITGRcTt3cuDRQ6pUrozZkCHs3r0bJSUl\n7t69S6VKudcN/CV/VtDLpVLp0u8PyMjI1AIGAbWB0sAZGRmZalKpNCkfxss2oaGhaKup4v9ZrFKi\ndNp9wbvnjzCySdoaZ3k5Oc5OmozN4cM4O87E98FNRsxwKPA5z7a3J0EkYrfxSK68fPnZX0M/U3+N\nL2y5fp1LL15w03U08hmYQH2IiKWm8RpKlynO48c2P7Uzxvd8EZcsXnya2FhRhuISkUiMre0hNm64\nRlR0PC1rF1zSLzVxIjF97Xdz+s5LGrZtyGSnychn070u+F0wNgPskJNTZMG2c2ho58+ecFxsDMvN\nh+H/8hmzu3Zj6r//5st1s8O6K1ewO3qEogoKTJw4kdu3b3PixAm2bNlChw4dftg8CjMFdXf2BnZK\npdIE4LWMjMwL4B/gegGNly5hYWFoqaiQJCR/L6ikypA/u3eN+LhPzOqUscx1fs+etKpcGUN3d948\ne8BM5z0oqRRMRcf9+/c5cfIkO4xG8CY8nN7r19GrXj2W9M169e7/8SPm+/cxY1DLDL2IQz7GUmOE\nCyVLq+P95NcIzomJEmbNOsCaNZdIShIYMaIFy5cPSCMuefQoADNTLy5c9ENVSR6jzvVZWIBJv9Rs\nPHYPk1XHUVBRwnqLNTWbZr9t1YPLD3AyWU65yjWZsXIXcvnUXfrB1TO4zZuKppISd6bPoHKJjNWJ\n+ck9f3+Ge2zlfWQkPXr0oGjRouzcuZM5c+Ywbty4X+JzVVjIj3dykoyMzHDgDmAulUo/AmWAG989\nJ+DzsTTIyMiMBcYClC+fdeY7J4SGhqKlnGzU/8XJ7nsObVpO3TJlUc3i52CXWrV4OGsW7VatZOZA\nfaY5baNC9Zx1v84KiUSC+bRpdKxenXply9LE0YFmenq4Dxue5bmCINDV1YVq5bRZNCb9UqqwyDiq\nG7lQoqQaT5/a/fSbKLW4ZOrUf5k7t2eKeQmCgKvrRRYv/pb087Tpz8B2tX/YPANCo+k2awfer0Po\nNLgjw6xylug6svEIO5120bxzb4xn5k+TCEEQ2DDflLsXT/Bf4yasGTjwh+QQokUijDy2ct7Pj3p1\n6tDVwIA9e/YwePBg/Pz80NTULPA5/GlkeZfKyMicAdIrf7AG1gDzSLZbngcsA0bmZAJSqXQ9sB6g\nSZMm0iyeniPCwsLQUlBEKpUil8p0RSwW8erZI3YYZWww9D1lNDR4ZmVN/02bWDTRgP9MrGnfL+vg\nmV2srawQEhNx/W8QTRY7UkFLmyOZ+Gt8j9nevYTERnNvY/rS4LDIOKoZOaOlo8aTp/Y/NThnR1zy\n4UMU5uZ72bf3PoIg0KN51QJP+qWH1YazOO68SqlyJdO0LssOrtNduXbsOgMmzKKjgXG+zOn9m+cs\nn2ZIYlwse0ePoUP17Hl655XvVYDjxo3j9OnTvHz5kkuXLlG79o/7wvzTyPJOlUql2apul5GRcQOO\nfP7ve+D7JmFlPx/7oYR8+ICWcrJqqmjRlD8rj29fi5K8fIZdR9JDTk6Og2PHsuTMaRa4zMfv4U3G\n2q/O8+rl1q1bnL9wAc8RxrRe7vTZX8M0W9c9/9wP91s32G03AG2NtFLiiOg4qo1wRkNLhafP7DPc\nmy5osiMuOXbsMbNmHeTx4wBKaf24pF9q7voF0tNmJ6GRcQyePoRuRl1zdL5ELMFukD3vX7zHdMkW\najZqmS/zOrzVmSPuq2lcvjwHLcyz/OWXH5z39WX0ZxVgn759CQsL4+TJk6xYsYKePXv+lWcXMHmt\n4tCVSqVBn//bF/D+/O9DwA4ZGRknkpOEVYFbeRkrN4QFB1P1s7mQvGJKeevVo7vpVSd33/zTO3ai\neYWK9N+4AVvD9li67kNNI3c/78RiMTOmT6drrVrYHDlCgkTC4yz8Nb4QKxIxZPNm+rWqmW6tb0R0\nHFWHu6BeXBkf39k/JTg/ehTAmDEZi0tEIjF2dofZsOEqUZHxtKhdluurR9GsVtkfPleJRGDoon14\nXXhC9UbVmXNkGirqKjm6RviHcGz625KUJMMc91OU0M17M9NPMVE4mQ3l/ZvnLOzZk4lt0jov5jfB\n0dEMcd/C3XfvaNq0KRUqVOD06dPMnDkTU1NTFBQUCnwOf8n7HvRiGRmZBiRvcbwBxgFIpdInMjIy\nu4GngAQw+dEVHJDsw6GpVwEAReVvN9r7V35ERoQy2yR7Wwjp0bpKFZ5a29Bu1SosB7VhisMGqjfI\nuULK0tKSIoKUkJgYAqMieWA5K9slUn3c1qOiXJTd9gZpHouMFVHNyAU1DUV8fH78yjmluKRMGnHJ\no0cBTDPbw4ULvigryWPUqR6LRnf8YUm/1By84oOhwwGSZGQwXWVGkw5ZuxemxueODw6jHSlRWo9Z\nrntRUMy7+f3dSyfZtGAa2ioq3J9pSQWtrL2884IgCMw4sJ+N16+jq6vLsGHDOH78ODVr1uTp06eU\nKpW+2OsvBUOe7lqpVDosk8cWADl3B8pHwsLCUKqa3FlbSfVbofw+t8VULKGDbhZeFlmhrarKI0tL\nhnt44GQ+nJ4jptJjWPZbaF2+fJkrV65Qv3QZHr1/zzVz8xSdUjJj1YXz3H33Du9NE9JsAUTGiqg6\n3BlldUV8fGejmItGprll//77TJuWvrhEEATWrr2Eo8Mp/P0jqK5Xgh0/OOmXmshYET2sPbnm/Y4W\nXZszzmF8rvboz+w8y5Z5W2jYqlO+bHslJSWxfs5kHlw9g2HTf1hlYFDgWz17799n6t49JEql9Dcw\n4OnTp/j6+nL06FGaNm1aoGP/JX0KdT1MWHg4Cp9FGCpqySV2giDw7O5VFvfqnS9jyMrKss3IiHVX\nrmC5ZSUvHt1m0qINWd7kIpEIaysrNJWVeRz4Plv+Gl94HhKM/dGjzB/5LzX1UpZWRceKqGbkjKKK\nPH5+Py44pxaXXLxoTvnyyds+X5N+++6TJElO+l1yHIZeqfwzBsoNy72uM9PtLGqa6szzmk/FWhVy\ndZ1NczZxbvd5ehhNoefwSXmel/9LH1aYDyMpIZ79Y8fy7+dFRkHxvQqwZYsWKKuocPXqVZYsWcLg\nwYP/7jP/RAp1gA6NiEC+aPJLVCuWHCwuHdmJDGCcz4Yt41q1opmeHt3WrsVqUBssXfeiqZNxp4rp\nFhbEi0SIZGTYmQ1/jS8IgkC3tWtoVE2XWUNbp3gsOlZEVSNn5JWK4us3p8CD8/fikpgYEQYGKcUl\nx497M2vWAR49CqCUlhpzhrVl2oAWyMn9XFn5i4AIulrt4FXgR3qM6sF/ZgNzdR2JRMICo4W8ePSS\nCXNcadAq725xBzct59j2NTSrWJH9o8egnE810+khlkgYv9OTfQ8fUkFPj/79+3PmzBkmTZrE/v37\nUVHJ2f77X/KfQhug4+PjSZRIkArJlXvqmskrzbNem2hXtWqB/FxsUK4cvra2dHB2xsawPeNmO1O/\nZVpF1blz57hx8yYAqw0GZOmv8T2jdmwnJkHE+WUpV2qxcWKqjXBBTlEOv+dzUS7AvVyJJFlc4ur6\nTVzi5DQAZWV5RCIxM2fuw83tytek39VVI2lRO+/JsrwiCAKTV59g7aE7lKtWjhVn7NAqlbs93eiI\naKz72xAXk4D9hiPo6lXJ09xiIiNwmmbIh3cvWdynD2P1sycfzy3rr1zB9ugR5OTl6d27N7du3UIq\nlXL//n0qZHOx8JeCp9AG6LCwMLTU1YkVJwDJPs+RYcEEv3/L3EEWBTaumqIitywsmLhzF662E+g4\nYCQDxlt+fVwkEmFrYwOAXddu2fLX+MLhx4/Y//ABxx2GpkimxcaJqWrkjKx8EXz95hRYcE4Wl+xi\n+/ZbacQl3t7vMTP14vwFP5QVizKsYz0WjWqPuuqvYcZ++dFb+trvJiY+kVFzR9Guf7tcX+v10zfM\nNZxHMc0SOOw8g7Jq3oyAbp8/wuZFMyilrsZ9y1noFaDg476/P8M+qwD19fX59OkTL1++ZMeOHbRt\n27bAxv1L7ijUAVpbTY1PCWIg2clun9tSdIoVo5ZuwTfJdB30H62rVsZk1+Zk69Ll2wGwt7NDnJjI\nWH19zHPgVxARF8eo7dsZ8b8G/K/pt9VanEhMNSNnkJPB7/kcVAsgIIaFxTJu3HYOHnyYQlwCsG7d\nZRwdTvLuXXLSb7tVX/7798e3U8oIkViCwRwvjt3wo17LukxZORVF5dy/R1ePXGWt5TpqNGrJFIeN\nefolJpFIWGc/kUc3LmDcvDlO/foX2H5vtEjECI+tnPPzo1rVqnRo3JgHDx4wb948Ro8e/csZZv0l\nmUIboENDQ9FSVeXT5xW0VqmyPLhyiin6+j9sDoMbN6FR2XJ0cnFm5gB9pFIpb96+pUutWizpmz3f\n4C/0WONKieIqbLDo+fVYnEhM1eHOCEVkePFibr4H54zEJSEh0QwfvoW9e5OTft2bV+Giw89P+qXG\n4/RDxjkdpYiCPJYbLKnTIm9fHJ5LPTm6+ViaX0W54a3fE1ZON0KamMCR8RNoVbngLG0dTp1i6dkz\nqKmr06VLF27cuEGXrl3ZvXs3Ghq/1t/sLykptAE6LCwMbWVlYkXJAfrDu1eIRfGYt2//Q8YXBAGf\n4GDO+/nRtnIVjng/BqCcRnF2jRyVo2vNP3Ecn+BgXm6b/HXFlrxydkEiA8+fz87X4JyRuOT4cW8a\nNlzAw4f+lNRUw96wDRYDW/70pF9qPkTE0s3KkwfPg2hn0I6R9sZ5WukKgsCScUvxvu6NseUSmnfK\nWwXQPrclnNzphn6lyuwdNQrFAkoEnn/ux+gdO4iKj6eFvj7+/v4kJSVx7do1atTI376HfykYCm2A\nDg0NRVNRiaj4eADO7t1MYz29fL8ZBEHgzrt3XHzxnHv+/jwPCyMoKopPIhEAysrKlChRgtZt2nDx\n4kW8RuUsOD8MCGDZ2bM4T+36dYUqEkuoMcIVsVTg+Yu5qKvnXRABacUlly9b0LhxeebMOYrRcHc+\nRsb9Ukm/9JjjfoF52y5TQlebxYcdKV0pfWe/7BIXG4d1fxsiQ6OxdNmTJ5Os6I9hLDMbSkjAW5b3\n64dxi/yRgKcmODoaw63u3H77lpo1alBRVZXAwECcnZ3p1i1/u4X/pWAp1AFaW0mR8LhPALx7/pSV\nY8fm+npiiYSrr15x+eULHgQE8DI8nODoaOLFYmRlZFBVVUVHR4eK9erRo04dmjVrRsWKFVOs3Jo2\nbYpmDkqXJBIJvdevo3U9PSb0ShYKiMQSqhs5E5+UxPMXcylWLO/BOT1xiVQqTZH0M+xQF4fRHX6Z\npF9qHr8Mpru1J4HhMQyYOoCeo3tmfVIWvH/5HvtBs1FUUmPRjou5lvMD3Dh9kK1LLClTTIPHVlaU\nKYCtBUEQmHnwABuuX0dbS4vWrVvj7e2N1ahRTJ48GfkCLNn7S8FQeAP0hw9UV1HlXUQEAKqKStkq\n+I8Vibj44gVXXr3k8fv3vIqIICw2loTERIrIyqKuro5uqVLUad6cwXXr0qJFC3RzkHRUysFNMth9\nCxKSOOE4FPiycnbhU6KEFy/noZGOOVJO2LDhCjY238QlFy5M48SJJ3Tv7sK7t+FUK6+Nh2UfBnfI\nX2vV/CQpSWDkkoN4nH5M1XqVcd63CHXN7KkxM+PO2busNF1FxZr1MHfakWsHQIlEwhqbcXjfvsyY\nlvrZ8vbODfsePmCKlxdiQaBZs2Y8f/6cqlWr4uXlhY6OToGM+ZeCp9AG6LDgYFoW1yQqPnmrwaB+\nyu7PYbGxnPPz5cbr13gHBfHm40ciYj+RmCShqJwcGsWKoVumDM3q16dhw4b8888/efK7FQQBAOVs\n3uied+5w2seHyytGoCgvh1gsoaaxKzEJiTx/MSfXwTk9ccncuT2YP+84NWvMRvI56Xd+4VAq6qZt\nM/UrcfzGcwYt3Ic4ScqkpSY075o/4qP9aw6w13kvrboPZNi0+bm+zmufh6yaYYysRMKJiSY0r1gx\nX+b3Pa/CwhjivgWfDx+oWbMmiYmJyMrKcurUKRo2zL+WWn/5ORTaAB0aGop22XL4hQQDEBkfT9uV\nKwiIjOTjp08kCQIK8vIU19CgbLlydGjZkoYNG9KkSRNUVfO/Y4pYnFzul52VWHB0NJO9djOl3z/o\n1y2fHJxHuhIlSsDPb26aNlDZIT1xSbdudbC3P0KNGrMpqamK7dDWTP9P/5dL+qUmOlZEb/tdXHzw\nhqYdm2CyZBJy+WAGJQgCq81Wc/vMHQZPnU27XkNyfS2vtQ6c8dpE26pV8Ro5KlvuhDlBLJEwYddO\n9j54gG7JkjRq1Ijg4GCWLVvGgAED/sqzCwmFNkCHhYejpaLC88/9CPc/TG5q2dPAgCZNmtCgQYMf\nuicn+pw0zA5d1rhQoZQGK0y6IBZLqDVqDRFxCTx/Phdt7ZwF59TiEhOTtsjIyLBhw1XWr79C81pl\nubzCGP26+dvNpqBwPXAbszUnUVZXYfaO2VSpnzcF3xdEcSLsB83mw9tgzJdvp1q93JkDRUWEstR0\nCOFB/jgbDMAwB0Kk7OJ29Qo2R44gKydHo0aNePnyJT179mT69OkoK+dPwvgvvwaFOkBrq6pSTlOL\nGpVrExMXy/Un94iMjEJLS4smTZr80PlkN0DP2L8f/48febfTFIlEoM7otYTFxuPnNydHwTm1uMTE\npB2PHwfi5HQWJYWiGHasg+Pojr9s0i81bz9E0mXWDvz8w+hi1JXB5oPyTa4f+j4UGwNbZGSKsmDb\nWYqXyJ2Q6erxPWxzsqW8piaXrKwplUe3xNQ8CAhg2FZ3AiIjqVq1KpGRkVSpUoX9+/dTrtyvWVXz\nl7xRKAO0IAh8jI6muLIyQVGRLOo6AIN23QiLjMB01WxWrliBi7MzPXv1YvLkySj+gM4U8fHxWf7s\nvPbqFeuvXWWrZW+01ZWpPXoNIdFx+D2fg45O9hJf34tLSpVSZ8CARly//poVy89Stbw2Wy37MOQX\nTvqlRhAEpq89zYp9NylTsTROJ50oUSb/mqN6X/dmyfil6OpVZabzbuTlc/5ZkIjFOFuP5dm9a0xs\n3YaFvXrl2/wgWQVovM2Ds76+6OrqUrlyZZSUlNiwYQOtWhWsZ8dffi6FMkB//PgRNWVlQmJiEEsk\n9GiZLE7R1tBkm90qJBIJc7eswPWgB3v37KGlvj4zZswoUDPyhIQEMgvPIrGYARs30K1ZFQb9W5c6\no9fw4WMsvn7ZC87fi0vKltWkefOKPLjvz9499+nW7PdI+qXm5tMAetnu4mOsiOFWw+k0pFO+Xv+E\nxwm2OWynyb/dGGOzIlfXePnkPqtmjqSoVOD0pEk0/dwgIr9wPHWKJWfPoKCoSM2aNQkLC2PmzJmM\nGDHirzz7D6BQBuiwsDC01NTY//AhasoqKKZaFcnJyTF3tAVzR1uw7dQ+Zm9eTq9evahWrRrm5uYF\nkv0WiUSZrqD7bXBDXr4Ie+0HUnfMWgI/xuLjM5tSpTL/mfy9uKRUqWKUL6/Fu3fhJMaJf5ukX2rE\nYgmDFuzlwBUfav1TiwWrTVFWzd+91XVW67l88DJ9R1vQZXDu6uN3Oc/j3H4P2levzs4RxvmaCDz/\n3I8xO3YQERdHxYoVCQ8Pp2vXrtjZ2aGezaYOf/n9KZQBOjQ0FG01NS4896NS6cyTX4ad+2HYuR83\nn97HbPUcxo0bh04JHcaMHUPv3vlj6g+ZB+j1V65w/fVrbq8ZTaOJbrwPj8HHdzalS2csZvheXKKm\npoiKsgIfPkTTrGYZtv9GSb/U7Drvzcglh5GRK4LFWgsatG6Qr9eXiCXMGTaXt8/eMXmhG3Wa5dzB\n7WNoEMtMhxIREsia/wYxOB/zGaExMQzd6s6tN28oVbIkJVRUqF69OsuXL6dq1ar5Ns5ffg8KZYAO\nCwtDS1mZ+2/e0KN19qStzWo15NqaAwSGBWO6ajaLFi1iuZMTffv1Y8KECXmu+EhISEA2nQD9Jjwc\ny0MHsTZsjdHiQ7wLieKZT8bB+Yu4JDg4+vPKWAZBImDYoS6OY36fpF9qwiLj6G7tyW2f97Tq3YrR\nc0flWhySEZGhkVj3t0EsSmL2xmOULJfzuuRLR3bhudKeitraXLOxpYRa3qxGv5CsAjzIhuvXUFVR\nQU9PDwUFBVauXMn//ve/fBnjL78fhTJAh4aGoqWsTHBUFD31c7ZvWVq7JLvnriFBnIDthqW47d2J\np6cnbdq0YcaMGWhra+dqTukFaEEQ6LrGlVp6JTh43Y/XwZE8fWpP2bLF0zzP0fEkjo6niIqK/3q8\nUmlN7AzbMLTj75P0S49FOy5jt/kCxXWKs2j/QspVy/+KhOcPnrPAeBGaOqWZu2U/iso5K1cUi0U4\nW47G9+EtprRty9weeZeSf+HAw4dM3uNFfGIiZcuW5dOnT5iamjJx4kSKFi2ab+P85fejUAbosLAw\n4uNFJAkCHRrlzpBGQV6BxROtWTzRmg2HPZnvsZpu3bpRq1Ytpk+fTu3aOWt0mpCQkGaLw2T3LsI/\nxaKhIc/bwI88eTr7ax8/+CYucXa+gEgkAUCuiCzdmlVhhUmX3y7pl5pnb0PpZuWJf0gUfcb3oZ9J\nzixYs8uFvRfYYL+Rus3aMXHe2hyX5/k9uo2z1RgUgAtTTWlQtmy+zOtVWBhD3bfw7MMHtLW1kU1M\npGvXrsyfPz/XC4G/FC4KZYAO+fCBZx+C0FBVz5efyaN7DmZ0z8FceniLac5zMB5hjK6uLhMmTqBL\nly7ZuoZYLE4RGE49e4rnnTuU0lLjTUjyyllPLzk4fxGXbN58/evzdTRVmdKnKTMHtfrtkn6pEQSB\nccuPsvHYfSrW1GPVznlolCgYX+KtC7dyavtpug6dQJ+RZjk+f/sKey4d9qRzzZrsGG6UL58nsUTC\nxF272PPgPqoqKmhpaVGzZk1Wr15NvXr1sr7AX/4YCmWADgsOJuBjJFUr5G9SpU39f7jjdpS3HwKY\nunI2s+3tWezoiMGAAYwdOzbTmzchIYEin1fQ0SIRw7ZuRVZWhsi4BJ48sUVPT4uwsFgwIYEFAAAg\nAElEQVRGj/bg4MGHX89rVqssS8d1otVvmvRLzdl7rzCYs4f4xCTGLxpHq14FU8crCAILjRfhe9eX\n0bYraNouZzab4cGBLDMdTFR4CBuGDMGgYaN8mdem69ewOnwYiVSKtrY2SkpKLF++nL59+/6VZ/8l\nDYUyQIeGhBAVH4d+3YJRC+qVKsuBRRuIE8Uxa50jWzw98fDwoH379kyfPj3dLhXfr6B7rl2DKDER\nRUU5Hj+2BaBJk4Xcvfvu6/PH9WiEw9hOaPymSb/UxInE9LXbzem7L2nYtiGTnSYjX0Bdx2MjY7Hu\nb0NM5Ces1x2kXOWcmdOfP7CNXc7zqVpSh5s2tmjngzfLo/fvMdzqzruICIoVK4YCMHXqVMzNzX+I\nUOovvyeFMkCHhIQgBfq0yt72Q25RVlRm5dQ5LJ9sz5oDHiza7kLnzp2pV68eM2bMoFq1b/amCQkJ\nyMnKsuTMaR4EBKCgIMeuXWNo2XIxISExAGiqK7HS5H8YdqpfoPP+0Ww8dg+TVcdRUFHCZqstNRpX\nL7Cx3vq8Y67hXFTUNFnkeRxV9exvnYgT4lk5YyQvvO9i3r49tl3zbm4fKxJhvH0bp318UFRURFlZ\nme7du+Po6EiZMmXyfP2/FG5kpFLpz57DV5o0aSK9c+dOnq9TtlQpAkNCiD/zPN/8GrLLqVuXmLF2\nIU9f+1GuXDlMTEzo0KEDq1ev5oCXFzHx8UgBGRn+3959h0V1dAEc/g2wsCxVbGDvLcaYWGISS6yx\nJ/YeS6xRoyb2ir13/UzsqGDXWLFgiSVqomIUSxR7QaVXYVnu/f5YxIZKBzfzPo8P7q1niTk7O3fm\nDM9/9ZVK5mH96BYUzZt+qzlnhgf+YTQc4YHP7afUbV+XTiM6put/jzP7z7Bo8GKKf1yRQbPWJute\nV8+fYsno3libm7GrVy8+zpO6lVgAZh48yHSvgyAEVlotpUqVYuHChVSpkjZlUaUPkxDinKqqSfp6\nb5ItaP+gILLbO2Z4cgaoV7k69SpX58b92/y0YBwjR47Ezs4OZ2dnwp69GCKnqtC7SQUW9m/4wT/0\nS8zI5YeYvuEkzgVyM9tzFrkL5E7X+21esJkdv+2k5nedaNt/TJLPUxSFdXPGcNJzMw0/Ksuajh1T\n/SDwjxs36L7eA//wcHQ6HXZ2dkybNo1OnTplyr9J6cNlcgk6KioKfWwspQtm7KyriKgILt78F59b\n1/j3/i1u+90jKCyY3Nly4Bf4lNDQ0IRjN49rRcsaZTI0voxy7vojmozegH9IFO2HtKdB5wbpej9F\nUZjbbx7exy7Q6ZfJVG3YKsnn+vvdZ/agDkQE+bO6Yye++yR1XUv+4eF0XOPG6du3sdRosLa2pm/f\nvowePRq7NJrQIv23mFyCDggIAKBa+cppds2nwQFcuHGFy7f/5fqDO9x9/IBHgY8JDA0mLDKCGH0M\niqpiZmaG1tISOxtrstnZEh4VhV9gIEIIVFVFAMrhcWkWV1ZiMCh0mLqNzUcvU/Kzkozf/TM29klf\nfzEloiOjGd1qDAGPghg6fwNFP0p6DRWvravZsmQqpZxd2DN2HE6pqKOsKAojdu5g2Z9/omKs9VK/\nQQPmzJlD0aJFU3xdSTK5BO0fX6C/RY33P+BRFIXbfvf5x/cKV+/ewPfBXe49fcjjQH+CwoOJiIoi\nJjZ+JRRzc6y1Vtjb6HCytyVPLkc+L1eQwnlzU6JAXooVcMHSwsL4lXnPUX7bvp/IZ9F81fhLKn1T\nmXn951GqYNqVycxKdpy4RsdpvxMnBAMXDKJi7Qrpfk+/u36MbT0OjUbHFI8jODgl7XcbEx3FvCFd\nuH3lAsPq1mN4vXqpimPnxYv027yJ0GfPMDc3p2SJEixYsIA6deqk6rqSBCaYoC9evIi5mRkl8xXh\ngu8VLvpe4drdm9z2u8f9p348DQkgODyUyGfPMMQZZ+dZajTotFY42trg5GhLicLZKeBciqL5nClZ\nKB/5c+d4b9+hoigs27afFTu9iNHHUu3bqnQa0QmtTotr+/EA2GhNa9puSEQ0jUet50+fe3zRoAq9\npvVO8/oZiblw7AJz+s2lQLEyDJm3AYsk1km5cvYES8b0wVaj4c9ffqG0c8oK84Oxhko7t9VcefQI\ngGzZsjFx4kR69eqVIb8D6b8hVf+ShBCuQA/AP37TSFVV9woh6gLTAEtADwxRVfVwau6VVN27d0dR\nFGy/KYUQAitLDbbW1jja2ZDD0Y7PSuenYJ4KFMufh9KF85HDMXWlGxVFYdHGPazzPEpcnMLXrWrS\ncWiHhDXy9NF6fC/6ki93Pqw0pjMRYe7mUwxbdgg7J3smbp5E4TKFMuS+u5bvZuPcjXzxzXd0GToj\nSecoioLbzBGcPrCdpuXKsbpDykeT6A0G+m3axCbv86jx3Vp9+vRhwoQJqVpUWJISkxYf9XNVVZ31\n2rYAoImqqo+EEGWB/UCGDPosU6YMPj4+TOnbicY10q4f+nUGg4G57jvZePAECEGd9nVoM6j1G62n\nXSt2obXU4mjniM4qKt3iySi+D4JoMNKDW4+Cady9MW0Gts6wey8evJhTnqdp9eNI6rTokqRznj64\nw+yfOxAVGox75y40Kls2xfdffeoUw3ft5Fn8AsC1atViwYIFya7LIklJlS7fxVRV9X7p5WXAWghh\npapqTHrc72Uff/wxPj4+jFu6Pl0SdLRez6w129l+5DTmFuY0/KERLfo2f2uL7OimP6hRoSa3H/ii\ns/pwuzgURaH/wn38uvMs+UvkZ57XWLI7Z8+Qe+uj9bi2H89D30cMnLma0kksgHVg4wq2LZtB2Tx5\n2fXTWBxT+CDw4sOHdFrjxp3AQAAKFizI/Pnzadq0qZyeLaWrtEjQ/YQQ3wNngV9UVQ1+bX8L4HxG\nJGeAmBhj6yY21oD73iN0aFgzTa4bFa1n6spN7Dl+FktrS5r1a06THxq/86vyw5sPCfIPou+Y/vw0\nvQ86beqnDGeGY//cobnrZsKfxfLDhB/4usXXGXbvwMeBjGoxBiVOMGHNAXI4v7+SXHRUBHMHf8/d\nf30YVb8+g2un7IHd81mAB65eBUCn0zFmzBgGDRqElZVViq4pScnx3gQthPACElusbxSwBJgIqPE/\nZwPdXjr3I2A68NZH5UKInkBPgAIFUl8Q6FnUi26EhRv20K5+jVRNDoiIesaEZRs5cMobna017Ya2\no36npE0h3zhnI3lz58M5hwuxBv0H95AwWm+gpesm9p65QbmvPuaneQPQ6jKubsTVv68yrccMcuUt\nyIjFW7HSvr8FfPH0UZaO74eDlRWnBw+hZO6UTZCZ6XWQ6QcPEhsXB0Dnzp2ZOnUqLi4pf7AoScn1\n3gStqmqSmh9CiGXA7pde5wO2A9+rqnrzHddfCiwF41TvpNzrXZ5FPUNrqSFaH4shzsDstb8zpHPy\n6wwHh0Uwful6jp69hK2jHV3HdqFW61pJPl9RFC6euET/dgMBiI2NxdY6fYoDpYe1B/+h15w9WGgt\nGbFiBB9Vydh+1oMbvHCb6MZn1erRc9zC93YlKIrCyqmD+fvwblqU/5Rl7dql6IP5uK8v3TzceRoW\nBkDlypVZtGgRlSpVStH7kKTUSO0oDhdVVf3iXzYDfOK3OwJ7gOGqqp5MXYjJExXfgs7haEOBIk6s\n33+Mvm0ao0ti5TT/4FDG/erByQtXcczhQK8pKSuJefz34yiKQpt67QCIjfswEvTjoAgajvDggu9j\naraqSdexXTJ8evIK15Uc2XyEJl0G0LhT3/ce73f/FnMGdSAmPIwNXbtRv0zyZ2n6h4fTce0aTt+6\nBUDu3LmZPXs27du3l/3MUqZJbR/0DCFEeYxdHHeAXvHb+wHFgLFCiLHx2+qpqvo0lfd7r8jISBRF\nofrH+bn0OAh7Oy1jl6xj1qBu7zzPLyCIsUs8+MvnOtmdnfhp7k9UrpfyVtOelXupWKZSQnIzxMVh\nZ521+y3Hux1l4rrj5HTJwczdM3ApnLFf5w0GA5O/n4LvpZv0Gf8/yld9/5c3T49f+X3FXMrnz8fO\nnwdhn8zSnYqiMHLXTpaePEmcomBpacngwYMZMWIEtmlQZlSSUiNVCVpV1U5v2T4JmJSaa6dUZGQk\ncapK7yYVqT/cnbVru9Kp4yqeBoWQy+nN0pN3/Z4ydokHF/69Sa58uRi85BfKV0/dStJhQWE8vPWQ\nyROmJ2yLizNgZ5M1W9AXbz6h8aj1PAqKoNWA1jTp3jjDYwgNDGVUizE8i4hh3PLduBQs9s7joyLC\nmftLJ+77XsW1YQMG1kx699NzL88CBGjevDmzZ8+mUKFCKXkLkpTmTG7KU3hEOKqiUrdiUczMBBYW\n5hQokJ1hC9xY5Tog4Tjfe48Y+9t6LvvewaWQS5r2s25esAVH+2x8VOzFmNu4uDjsM/ABW1IYDArd\nZu5gndclipcryqJtU7F3St3EnZS45XOLid9PwsEpN9M2eKGzfXdhoQsnvVg2cQBO1tacHTqUojmT\nN4X+TmAg7d3cuPzoIQBly5Zl0aJF1KhRI8XvQZLSg8kl6IjISJ7XuC5TMBcrV5xk7brOVK8+m+t3\nHxJriMN16Xr+vf2A/MXzM3bdOEp8mraV7854nqFZ9RavbItTFByyUAt67+kbtJu8Db2i0m9WX6o0\nyJwaxSd3neTXEb9RusKX9J+64p393YqisHzSQM79sY82n1VgSZs2yeoff30WoKOjI1OnTqVHjx6Y\nm5unxduRpDRlUglar9cTExOd8LpFtVLM3naGqlWLU6KEMy2HTEvYl7doXiytLXGb7EacQUExxBEX\np6DEvfipxCkocSqKEoeiqKiKkvBTVVVURTX+VFVUeFGBH+jRovcrsSmKgoNN5regwyKi+XbcRv64\ncIdKdSrRd2bfhGnpGW39rPXsWbWXuq1+oGXvYe889uGdG8z9uSOxURFs7d6D2iWTtyrLy7MAzc3N\n6du3L66urmTL9mGvjC6ZNpNK0KGhodjZ2BEeGY6iKPT7rhLjVh/l7t1AunT5nBEjduBSsCg2do6Y\nW1hgrtFgYaPB3EKDhYUGC0sr40+NBguNJRYaKywsLdFoLNFYWaGx1KKxtERjqcXSygqNlRaNxgrf\ny94c3LSM8JAgKhUsxN937/DgyX1KFHyRRBRVzfT1BRf//hc/LzmAzt4GVw9Xin3y7n7e9KIoCjN6\nzuTy6ct0HTGLKnWavvP4XWsWsdttIRUKFGDH4F+wTcaDQJ9Hj+jg5sadQGMZ2jp16rBgwQJKly6d\nqvcgSRnBpBJ0SEgI2RyyER4ZTrTegJO9jhyONixYcJhmzcpjZm7G+FX70ux+f+7bxu/LZxIaHEit\nkiVZ2K8veR0dKTh2LH+cPfpKglZVNdNa0Hcfh1B/hAfX7wdQv3MD2v3SNtNW9oiKiGJU89GEBIQx\n4n/bKFji7f3+keGhzBnUgYd3bjC5cWP6JqOPOCI6mm7u7uy/egWAwoULs3DhQho2bCiHzUkfDJNK\n0KGhodjaGB8whUXp0WktqVEuP7t2XqJbt69QlbRZf/HQNjf2rFlEVEQYjT8qy9yf+r+y8nPh7Nn5\n51/vN85zsrNOk/snlaIoDPn1IPO2nSFv4TzM2T+HnHkzryb1w5sPGdfWFa3Onqkef2Dn+Pbqb+eO\n7Wfl5J/JYWOD97DhFMqe9Lofsw8dYuqB/cTGxWFjY4Orqys//fQTlkksSypJWYXJJWg7GzuEgNDI\naJydbOndpBLfDFuHg4OW1CyQqygKe9b9D69Ny4mNiaZl+U+Z3axZol+3K+bPx45rvgmvo/XGfnGd\nNuN+3aev3OfbMZsIjojm+9Gdqds2cwvInz10jvkDF1Ck9Cf8PMf9rTWT4+LiWDq+PxdOetGhUiUW\ntmyV5Nb+cV9ffvBw50n8LMCuXbsydepUcqdwurckZTaTStAhISHYWNsiEIRFGmsz1alQBHMzM44c\nuQ4YE21yvt4bDAa2L5/FHzvcIc5A58qVmdS4Cdp3tMbqlCrNqjNnEl6HRxgTRkZ0K+j1BtpM2sqO\nk9coU7kMkxcORGeb8uWc0sL2Jb+zddFWqjVqQ8efJ771uPs3rzHvl07ExTxje8+e1CxeIknXD4iI\noOMaN07FzwKsUqUKixcv5rPPPkuT+CUps5hUgg4NDcXW2hZhZkZ4lD5he+mCOVm37i8AoqMi3zvO\nFkCvj2bT4in8uW8LGmFG36++ZPQ39ZO0WkatEiUwxMXxOMAP5xwuhEeGZ0i/58YjPnSbuQuhMWfw\nr4MpXy11E25SS1EUFgxcwNlD52g3wJWvm7Z/67E7Vs1j77r/8Xnhwmzv3gNdErojFEVh1O5d/Hbi\nBHGKgrOzM/PmzaN169ayn1kyCSaVoENCQrDR2mIuzAiPelHd9PlwO4DI8JB3JuioiHDWL3Dl7JE9\n6CwtGVmnLoNq1kxW69fSwgKdlZY/zh2lzTftCI8KwywdE0ZASBSNRq3n72sPqfZtNXpM6p5pDwGf\ni46KZmwbV57ce8LgeR4U/7hioseFhwQx5+eOPL53kxnffkfPqkmre7Lr0kX6bt5MaFQUlpaWjB4x\ngqFDh6JLxeKvkpTVmFyCtrW2xczMjIhnL1rQz4fbAUSFh0EiJSbCggNYN2cMF08dxlGnY3rTpvT4\nKvlFkp7Ln82Rc1f+ps037YiIisDMLH0S9FT344xdfZRsubIxdfsU8pfIny73SY6n958ypvVYhNAw\ned0hsuVMvKbH30d2s2rqUJzt7fAePoKCSVgy6m5QEO3dVuPz0DgLsGXLlsyePTtNStVKUlZjUgk6\nOCgEW2sbzF9L0E72OnJms8E/OJKoiNBXzgl88oi1s0Zy9fyf5LJ3YEmbNrStkHhrLzk+yZOHU/eM\n/d4RzyIwT+MW7dW7/jQcuZ77T0P5rk8zmv/YLE2vn1I+p3yY2XsWeQoVZ+jCTVhavvkQ1WAw8Jtr\nXy6eOkKXz6swt0WL93ZJGAwG+m7exMbzxlmAH330EUuWLKFatWrp9VYkKdOZVIIOCQ6hsG1RzM3N\nX0nQANXLFmDr8avGFjTGEpVrZ4zg5hVv8js54dG5Cw1TsV7d674uXpwdl3wAiIyKxNw8bRK0oij0\nnLOblZ4XKFKmEAs3TcIhu0OaXDu1PNd44j7dg0q1GtF91NxEj7l7/TLzh3RGjY1hd+8+VC1a9L3X\ndTtzmmE7dvBMr8fR0ZGZM2fStWtXOT1bMnmmlaBDgrHNZYe5uTmR0a8m6D7fVmTr8avcu3GZfR5L\nuHvjCsVzO7OrV2+qFUv7GXWNPirLjxs3EhEVQWR0JBZpkKAPnb9Fy/FbeBYbR++pKatTnV5+G7mU\n4zuO07znEL5p0yPRY7Ytm8n+Dcv4skhRtv3wwztHwoBxFmDHNW7cDgjA3NycQYMGMW7cOBwcssYH\nkiSlN5NK0KEhxnHQFuYWRMbEvrKv9mdFAGP94MI5cnBkwEA+y59+/bWOOh1WFhpOnD9GVHQkGouU\nt/aiovU0G7uJg+du8lmNT+k3pz+WSVyAIL0Z9AbGd5zA3Wv36D9lGWU/f3O2X1hwALMHdeDpg7vM\nad6cbl+8e9HXKL2ebu7r8Lx8GYB69eqxcOFCSpRI2rA7STIVppWgw4zD7CzMLYiKfjVBK4oCgKWl\nJbcDAmi1YgXNPynHsLr1XpkFmJacHRw443MaB1sHLFOYoJfvOU+/hZ5Y2Vgzes0YSlVIXpGg9BTi\nH8LIFqOJjY7DdcVecucv/MYxpw/uYM3M4eRxcOTSyJHkdXyzJvfL5hw+xJT9B4iNM1CoUCGWLFlC\n/fpJWwNSkkyNaSXo0FBsdfEJ+rUW9JY/jCszHzp0iIiICJYvX84mLy+WnjxJ4Rw56FL5c36sXh3L\nJIxzTqoyuXNz7fYVyhX/BI1F8ro4HviH0XCEBz63n1K3fV06jeiY6UPnXnbd+wZTuk0le668TFy9\nDa3u1Q85g8HAktG98Pn7ON2//JJZzd69LuSJmzf5wcOdx6GhWFtbM33yDPr164dG82EttCtJacmk\nEnRYeBh2Ojs0FhqexRhe2bdszznMzczQarVotVqGDx/O8OHDuX79OsuWLmXqIS/Ge+7lk3z5+enr\nGnz3cblUJ8SqRYty7KAXxQqUwEqT9Bb0iGVezNj4J84FcjPbcxa5C2StqcpHtx5l+bgVlKtSkz4T\nlrzxe7p97R8WDO2KMBjY92NfqhR+s2X9XEBEBJ3WrOHPWzcRQtCtWzemTZtGzmQW4ZckU2QyCVpV\nVcLCw4wtaAsNz/SvtqDPXX+MfSIPl0qUKMHMWbMAOHbsGG5ubnR3d6e32XqqFSvGiLr1qFiwYIpi\naly2LKN27eRZdBRazft/1Wf/fUTTMRvwD4mi/ZD2NOjcIEX3TU9uk9dw0OMgDTr04btug97Yv/nX\naXhtXkn1YsXZ8sMPb/1GoigKY3bvZsmJ48QpCpUrV2bp0qV88skn6f0WJOmDYTIJOjIyEkuNJRYW\nGjQWlkS/VLhfURSCI55RseK7l7SqXr061atXx2AwsGXLFrZu2UKdhQuw1+loXOYjRtavT7739KG+\nrFD27JibmXH/yX1y2L69BW0wKHSYuo3NRy9T8rOSjN/9Mzb2Nkm+T0ZQFIUpXabwr/cNeo6dT4Ua\nr354hAb5M2tgewL97rOwZSs6ff75W6+1x8eHHzdtJCQqipw5c7JkyRKaN28up2dL0mtMJkGHhIRg\nFz+F21JjRbQ+ImHfntM3AKhYMWkTUCwsLGjbti1t27YlLCyMVatWsc/TE/dJE8mbLRsdKlRkYM2a\n2Fi9f5XuHHb2+Pn7kd8p8a/svx+/SqfpO1CEYNDCn6lQK+sV+IkIiWBUi9GEh0Qx+tcd5Cv66oPK\nk55bWDdnDAWcnPhj5Chc3jIM7m5QEB3cVnPp4UM0Gg2urq4MHToUa+uMLcMqSR8Kk0nQoaGh2Nka\nFzy1tLAkOjYuYZ/HoUsAfPHFF8m+rr29PQMGDGDAgAHcv3+fpUuXsvjYMWYe8qK0szN9qlalY6XK\nb+2vLpkzJ8d8b2Bt9eqvOiQimkYj13Pq8j2+aFCFXtN6J6kQU0a7e+0eEzpOwMbOiekb96OzfbGo\nrEGvZ9Gonlw9/yd9qlVjatNvE72GwWCg/5bNrD93DlVVad68OQsWLCBv3rwZ9TYk6YOU9TJCCoWE\nhGCni29BW1oREf4iQR+7dB+AUqVKpeoe+fPnZ+JEY7nMs2fPsmrlSn7evp1B27bxeaFCDKlT540S\nmVUKFeKY7w102hejEeZuPsWwZYewc7Jn4uZJFC5TKFVxpZfTnqdZPPR/lPi4EgNnrXnlQ+jmZW8W\nDOuGRlU42K8flQoWSvQaa8+cYeiO34nS6ylVqhQrV65M0QelJP0XmUyCfj7EDsDK0orA+Ba0oig8\nCgjDRmeTpsPUKlasSMWKFY2F/PfsYcP69TRbuhSdpSX1SpVi1DffUDxXbuqXKcMMr4PorDT4Pgii\nwUgPbj0Kpkn3xrQe2DrN4klrm+ZvYufSXdRq9j1t+o1+Zd/GRRM5vH0ttUqWZEOXrok+CLzi50cH\nNzduBfhjZ2fHiiVL6NKlS5YaKihJWZ3JJGhjJTtjC9pKY4U+PkHvPWPsf3ZxSbyiWmqZmZnRpEkT\nmjRpQnR0NGvXrmXXzp1UnDGDXPb2NC9XDoDjl+5RsvMiCpTIz4LDrmTLlTVXk1YUhTl953Lh+D98\nP3gKXzVombAv2N+P2QM7EPT0EUvatKVdIn36UXo9P7i743nZB2FmxoABA5g4cSJ2du+vwS1J0qtM\nJkGHhoZiozWOfNBaaomNM84cdPcyFiwqVjz9V7DWarX06NGDrl27sn//fhYvXsyvJ04AcO9pGN0n\n/MDXLb5O9zhSKjoymlEtxxDoF8SwBRspUuZFwf9juzeyfv44CufIwZ+jx5AzkYQ77/BhJh/Yj95g\noGbNmixbtoyiSSiGJElS4kwqQdtaG7s4tFZaYg3GBH3y8gOAdBtfqygK3t7eHD16lIsXL3L/3j3C\nIyKwMDfDObs9jaoU59C5m1hnd8jSydnvrh9jW49DY6ljiscRHOJHnej10Swa3p1///mLn2rUYELj\nJm+c++etW3R1X8fj0FDy5cvHypUrqVu3bka/BUkyOSaToIODgl+0oK20xBriUBSFB09DAKiaxJU6\n3ufKlSscOXIEb29v7t65Q2hYGEJArmx2fFQwBx3bVKZl9TIUz/9iFeoaA1dx6uqjNLl/erjwxwXm\n9J9LgeIfMWT+xoTRJNf/+YtFI3tiJeDITwP49LXiUkFRUXR0W83JmzfRarXMmTOH/v37Z8nRKJL0\nITKZ/5NCQkJwtDEmRa2VNYY4hX1/3UQFzM3NcXZ2TvY179y5w8GDB/E+f55bt24RHBKMqkJ2BxtK\nF8hOvyblaFG9NOWLvbt/u/anRTh28R4GgyHLJa9dy3ezce5GvvymOZ2HTkvY7j5vHMd2rade6dJ4\nfN/5lbgVRWHsnj387/gxFFWlU6dOzJ07l+zZsyd2C0mSUihrZYtUCA4KJl9u45RsnZUOQ5zCOq+L\nmJuZJal+8OPHj/Hy8uLvv//G1/cGgYGBxMUpONrpKJnPic61S9K8aim++ChfskciNP2qBOPcjuJz\n0ofyNTJ3IdeXLR68mFOep2nddxS1m3cGjCvMzB7YjtDApyxr355Wn746cWavjw994mcBli9fnrVr\n11I2DRc6kCTpBZNJ0KGhodgVMT64stZaExencNLnIVYaqzcmRAQFBXH48GFOnz7NjRvX8X/qT6zB\ngJ2NlqIu2Wj5RSGaflmP2p8WwSKZVegSU66IsdjRn3tOZYkErY/W49puPA9vPWLgTDdKf2Ycl3zk\n93VsXDSJ4rlzcWb0mFfKsN4PDqb96tVcfPgAJycntq5dS7NmzeT0bElKR6lK0EIIV6AH4B+/aaSq\nqntf2l8AuAK4qqo6KzX3ep+Xh9nptDYY4uJ44B+Cjc4GCwsLRo0axbWrV3n85J1tgD0AABSTSURB\nVAl6vR6d1pLCLtn4ppwLTb6oRoPPi6O1TJ/PKzMzMzQW5lz3vp4u10+OAL8ARrccgxJnxgS3g+Rw\nzktMdBQLhv2Ar885fqlVizENGiYcbzAYGLB1C+5nz2Jubs6oUaMYM2YMVkmY5i5JUuqkRUaa+47k\nOwfwTIN7vFdoaBi2NvEJ2lqH3hCHmRCER0bg7e2NuZmgfuWiTO7YkO++Ko2tLmNXJMnpYMPTJ8EZ\nes/XXf37KtO6zyB3vkKMWLINS0stV8+fYsno3libC44NHES5l75trPvrL4bs+J2omBgaNmzI8uXL\n0208uSRJb0q3Lg4hxHfAbSAyve7xstCwkISZhDZaHQCKqgIwdGg93Nf9xZ7Tvvxzy59r9wIZ0b4q\nNtYZl6RLFXDikXcYYUFh2DvZv/+ENHbQ4yBuk9fwWbVv6OW6EEVRWDNrFCc9N9Pwo7Ks6dgx4UHg\nFT8/Oq5x46a/P4ULF8bDw4MqVapkeMyS9F+XFvNu+wkhLgohVgohsgEIIWyBYcD4NLh+koSFhSXU\n4rCxftF3mt3JhunTm/Pg4TRu3ZpI9TolWLDzb+waT6Ncj19Z5emdsBxWevqsuLHledrzdLrf63Ur\nXFfiNnkNTboMoJfrQvz97jOyXQ3+OrCN1R074dGlCxYWFkTp9bRbtYovZ8/icWQkS5cuxdfXVyZn\nScok703QQggvIYRPIn++BZYARYHygB8wO/40V4xdHxGJX/WV6/cUQpwVQpz19/d/3+GJMhgMxOhj\n0MW3nK00lvHXhoqVXhTbL1w4J+7uPxAWNo/DhweSI78jvebuQVt/CnUGr+HEpXspun9SVC1bAICL\nJy6m2z1eZzAYcG0/nqNb/6DPhCU07tQXr62rGdOpDs4aM/4dO47v4ifwzD9ymIJjx+B55TI9evbk\n8ZMn9OjRQ9bOkKRM9N4uDlVV6yTlQkKIZcDu+JefAy2FEDMAR0ARQkSrqrookesvBZYCVKxYUU1q\n4C8LDQ3FRmebMKLgwJkDAGgsLGjWLPFRE19/XZKvvy6JoiisXPkn8+cdpvrAVdjZaPn2ixJM7FqT\ngs5JL87/PjXLFwLg7pX0+xB4WWhgKKNajCY6Us+45btxyp2H6f1acevqPwyvW4/h9eoBcOr2bbqu\nW4tfaChVqlTB3d2dIkWKZEiMkiS9W2pHcbioquoX/7IZ4AOgqmq1l45xBSISS85pJTQ0FHvbF7Uh\nDv65DwB9rIEOHSq/81wzMzO6d69K9+5ViYiIZvJkT9a4nWFt+/nky+VAl3rlGNG+Kjpt6vqr7W21\nWJibERyQ/g8Kb/ncYuL3k3B0ys249Tu4c+0fpvRuhq1Gw58//0IZFxeCoqLo5ObGiZu+5MqZk337\n9vHNN9+ke2ySJCVdar+/zhBCXBJCXARqAm8uUpcBQkJCEkZwGAwGbj64CYC9vTW2ttokX8fWVsvU\nqc14+GgaN28a+6vn7/gb20Zp01+dzU6HqqrcvnInxdd4nxM7TzCurSvFy33OeLeDbFw8ifnDulG/\nZEl8x46lVO7cjN29i2Ku4/jr3l0mTpzIw0ePZHKWpCwoVS1oVVU7JeEY19TcIylCQ0MTHhD+fmQb\navzojY8/TvmKHUWKGPurAQ4f/peJE/bQc+4ees3dQ/VyBXHtXIOqHxdI1jUL5LLHPySC056n0qVI\nv8dMD/au9qRem+5UbdCKkW2rExkWjHvnLjQqWxbPy5fps2kjwZGRNGvWjBUrVpAtW9YseypJkonM\nJAwJeTHEbuuhzdg62hIREkGjRu9eJDapatUqSa1axv7q5ctPsmD+kRT1V5cpkJ1z1x9x9a9raRLX\nc4qiML3HDK6cucIPI2cTEvCUcV3rUzZPXnYNGEt4TAzV583lnwcPKFGiBEc3b6ZcfJ1qSZKyLpN4\nRG8sNWpHtD6am/d9yV/cWHWtc+e0XVrJzMyMnj2r4XN5LGFh8/ixXw0O+dyjUPv55G87jzErDxMV\nrX/r+ZVK5QPg8e3HaRZTVEQUv9QfzHVvX36Z486hravYtnQ6I+vV40i/fozatYtyUyZzKySEtWvX\ncu3aNZmcJekDYRIJOiQkBButDZv2b8DSypIQf+ODuDx50m4Uxute7q/29Z1ItdolmP97fH9198T7\nq2t9VgiAyIhIYmNiUx3DA98H9K85gNgYQadfpjB/WBciHt3l9OAh5HFwoMC4sXicO0vffv0ICAyk\nY8eOsnaGJH1AxPP+2qygYsWK6tmzZ5N9nqurKw8v+XHw9H6yl3Di/FFvAKysNFhqzLGy0qDVatDp\nLLGxtcTW1goHBy0ODtY4OelwcrIhRw5bcua0JXdue3LntidvXgfs7XXJjuV5f/WJkzcxE1C9XEHG\nfW/sr1YUBYs6E0EI+s3uR5X6nyf7+s/97fU3CwYtomiZ8jjmcObs0b00L1+eIbVq0WHNWm76P6Vq\n1aps2rRJTs+WpCxECHFOVdU314tLhEn0QQcHB2NhbsE9v3t82rR8QoKOiYml4ee1KVu4JEFhIYRE\nhBESEUZ4WDgPn0RyPcafZ9HPeKaPIUavJ9YQi8EQR5yiJDxoFEJgbiaw0JhjqbGIT/YWWOsssY1P\n9o6O1jg4WJMtmw4nJx2tWn9G7z7VOHXqNjt+/4fqA1Zhb2vsr7bUWKAKc84fPpfiBL3tf9vZtngb\nn1b7hps+Z7l/7RJunTqx6bw3X8yejYuLC0ePHqVGjRpp9juWJCnjmUSCDgkOxdvbGytrK/asNBbT\nK5ErFzf8/dl+bB9RMc/YPmlZsovlh0WE8yjwCU+CA3gSFEBAaCABIcEEhYcSEh5CaGQEYaFh3Hsc\nSWT0E57FRBMdE01MrJ7YWAOxccZVXVQgNCKaNQefzyI0cOvS7WS/T0VRmD9wAecOn6d0hap4Hz/A\nJ/nz0ahiBXp4eIC5ObNmz2bQoEGyK0OSTIBJJOjQkBAu3/JBmAmsbeyI1Yews1dvPp4yhVp1anPi\n+AnytfycQ3M9+KhwySRf197WDntbO0oVTN2Cs4qiEBYVwaTV81mwdRVCCAIeBSTrGtFR0Yxt48qT\nu09wyunCtXMn+b5yJQ7++y9TDh6gVatWrFy5Ehsbm1TFKklS1mESDwkfPnyEoijEGeKo2awzlhoN\nLg4OjKhXj0NeXmzZuoX8BQtQoXsjZq3/NcPjMzMzI/JZJIu3r6FLk9qoqkpsbCyBjwOTdP7T+0/5\nqdZAntx/iqqqiKgwyuXNg9uZM2TLk4dr166xceNGmZwlycSYRII+e/5vAKo2bE3Qk4fksjeW8/yl\ndm2y29jgOm4cy1csp2/fvoxePovq/VvyLOZZhsZYf3AnCjjn5OdO35Ezm3F0yak9p9573qWTlxjc\naCiR4ZEY9Hry2NsRFBHB7bAwNm3ahM/ly5QoUSK9w5ckKROYRIJ+ruPPE3nge4VSOXImbFvRvgN/\n/fUXly9f5vvvv8fDw4Nr92+Rt3ll/rx0LkPimrbuf/g+uMPSMT8CULvyxwBc+tPnned5unkyrcd0\n4gwGBGBpYcGjsDAGDBxIYFAQrVq1Su/QJUnKRB98gjYYDAA0/r4fZmZmBPo9oEqhQgn7qxUrxudF\nijB82DAAihYtiuc+Tz75tDw1B7Rm+K9T0zW+u48fMH7VHPq3bUzu7MZp1d2bGSvJ3bl8563n/Try\nN9ZNd094raoqX3z1FY8fP2bOnDmYm5una9ySJGW+Dz5BW1hYMHPmTEL9/VAUhcjIcOqWLv3KMe7f\nd8bf358NGzYknDNv3jxGjRrF/C0rKd+tPiERYekSX/3BnSic15lu39VN2JbLyREbay0RYRFvTGYx\n6A2MaDaS478fT9iWL29eTp48ydGjR8mRI0e6xClJUtbzwSdogM6dO+N94iC+PsYui3J58ryyP4et\nLT2/+opFCxcSHR2dsP3bb79l+/btBEaGkr/F53iePpKmcU1YNY87j+/z2+gf39jXqGoFAK5730jY\nFvw0mO6Ve3DvX2PN6OcfJPcfPODLL79M09gkScr6TCJB58yZk7r16rFt6QzsrHWJrgIypUlTtObm\nTJgw4ZXtLi4u7Ny1k1q1a/HdyO70nDEsTZbAuu13nynrFvFzh2/Jmc3hjf3dmxvLex7ZfBiA697X\n6fd1f2L1xingbdq0ISIiggEDBqQ6FkmSPkwmkaABfuzdi1tXLlDgLeUzzczMWNSqNV5eXty7d++N\nfRMmTGD69Om4e/1OyQ41eBTwJFXxfPNLR4rlz0OnxrUS3e8c3x99au9pNszewPgOxg8OZ2dnfH19\n2bBhA1ZWVqmKQZKkD5vJJOhateIToRLH2+qLNC1XjtIuLgwZPDjR/TVr1mTv3r0IrYZi7arhcWB7\nimIZvWwmD54+4rfRfd55XPECeYgzxLFrhXGlMHd3d/z8/ChatGiK7itJkmkxmQRtLAXak2itlobL\nl+H94H6ix63v3IXbd+5w4MCBRPc7OjqyefNmWrZsSddpg2k5pleyujxu3L/NrPW/MaRzM7I72Cd6\njKIoHDl7iSi9sTRpkSJFiIuLo3379km+jyRJps8kqtm9LC4ujpUrVzJ25EjqFC/OmLr1cLZ/NVH2\n8HBnz7VrHD5y5J2rVp87d45BgwZhq9VxeP5GSuZ//2KqxdpWxVZnwYbpQ97YF6OPZdexv1m37xj2\njk4MGzGSpk2botMlv2qeJEkfpuRUszOZFvRz5ubm9OjRg39v3iTPV1/x5fx5zDx8iGexL+ovL27d\nBsVgYObMme+8VoUKFdi3bx+5XJz5pEs9Fm5Z9c7jhy2Zgl/gU5aMerVrIzQikmXbD9BowCTO3PZn\n+eq1nL/wD23btpXJWZKktzK5BP2cvb0902fO5K/z57liYUHluXPYesEbVVWxtLBgSpMmbNu2jYCA\ndxct0ul0rHZbTc+ePRnyv0nUHtgWvf7NVVOu3fVl/uYVjOjWkmz2xuW3HjwNYLrbdhoPmEyIuT2H\njv7BvgMHqVmzpqw2J0nSe5lcF8fb/PHHHwzs1w9rvZ7J9RtQoUAByk2dgoOLCytWvbtl/Nz169fp\n07sPKCqes9ZQqdQngLFPuWibr8jmaI3HlF+4fPMea/b+welL//JD9+4MHDiIvHlTvoCtJEmm4z/d\nxfE2NWrU4OyFC/wwdCgd1nvQe/NmZn3XjEuXL3PmzJkkXaNEiRJ47vOk1Eelqfpjc1xXzQFg8OJJ\nPA0JpFOjGvSYvITBC9dR+9vW3Ll7j5kzZ8nkLElSivxnWtAvCw8PZ8qkSSz77TfCIyLQ2dpy0Msr\nWdfYvHkzs2bNwiV7Lh76GxeBLVumNMNGjKRNmzZoNJr0CF2SpA9cclrQ/8kE/dydO3f46ccf2eXp\nScGCBSlbtix6vZ6YmJiEny//iY6ORq/XJ/x82f79+6lbt67sW5Yk6Z3+c2sSplShQoXYuXcvQ4YM\nITAwkK+//hpra2u0Wi3W1tav/P31n1ZWVgghiI2N5dmzZ9jbJz7mWZIkKaX+0wn6ufcNt3sXjUYj\nuzMkSUoX/5mHhJIkSR8amaAlSZKyKJmgJUmSsiiZoCVJkrIomaAlSZKyKJmgJUmSsiiZoCVJkrIo\nmaAlSZKyqCw11VsI4Q/cTeZpOYB31wzNXDK+1MvqMcr4Uue/Fl9BVVVzJuXALJWgU0IIcTap89oz\ng4wv9bJ6jDK+1JHxvZ3s4pAkScqiZIKWJEnKokwhQS/N7ADeQ8aXelk9Rhlf6sj43uKD74OWJEky\nVabQgpYkSTJJJpGghRAzhRDXhBAXhRDbhRCOmR0TgBCivhDiXyGErxBieGbH8zIhRH4hxBEhxBUh\nxGUhxIDMjikxQghzIYS3EGJ3ZsfyOiGEoxBiS/y/vatCiC8yO6aXCSEGxf+39RFCrBdCaLNATCuF\nEE+FED4vbXMSQhwUQtyI/5kti8WXafnFJBI0cBAoq6pqOeA6MCKT40EIYQ4sBhoAZYB2QogymRvV\nKwzAL6qqlgGqAH2zWHzPDQCuZnYQbzEf2KeqaingE7JQnEKIvMBPQEVVVcsC5kDbzI0KgNVA/de2\nDQcOqapaHDgU/zqzrObN+DItv5hEglZV9YCqqob4l6eBfJkZT7zKgK+qqrdUVdUDG4BvMzmmBKqq\n+qmqej7+7+EYk0uWWn5cCJEPaAQsz+xYXieEcACqAysAVFXVq6oakrlRvcECsBZCWAA64FEmx4Oq\nqseAoNc2fwu4xf/dDfguQ4N6SWLxZWZ+MYkE/ZpugGdmB4Ex2d1/6fUDslgCfE4IUQj4FDiTuZG8\nYR4wFFAyO5BEFAb8gVXxXTDLhRA2mR3Uc6qqPgRmAfcAPyBUVdUDmRvVW+VWVdUv/u+PgdyZGcx7\nZGh++WAStBDCK74v7fU/3750zCiMX93dMy/SD4sQwhbYCgxUVTUss+N5TgjRGHiqquq5zI7lLSyA\nz4Alqqp+CkSSuV/NXxHfj/stxg+SPICNEKJj5kb1fqpxWFmWHFqWGfnlg1k0VlXVOu/aL4ToAjQG\naqtZY+zgQyD/S6/zxW/LMoQQGozJ2V1V1W2ZHc9rvgKaCiEaAlrAXgixTlXVrJJkHgAPVFV9/q1j\nC1koQQN1gNuqqvoDCCG2AV8C6zI1qsQ9EUK4qKrqJ4RwAZ5mdkCvy6z88sG0oN9FCFEf41fhpqqq\nRmV2PPH+BooLIQoLISwxPqDZmckxJRBCCIz9p1dVVZ2T2fG8TlXVEaqq5lNVtRDG393hLJScUVX1\nMXBfCFEyflNt4EomhvS6e0AVIYQu/r91bbLQQ8zX7AQ6x/+9M7AjE2N5Q2bmF5OYqCKE8AWsgMD4\nTadVVe2diSEBEN/6m4fxCfpKVVUnZ3JICYQQVYHjwCVe9PGOVFV1b+ZFlTghxNfAYFVVG2d2LC8T\nQpTH+ADTErgFdFVVNThzo3pBCDEeaIPxa7k30F1V1ZhMjmk98DXGCnFPgHHA78AmoADGapatVVV9\n/UFiZsY3gkzKLyaRoCVJkkyRSXRxSJIkmSKZoCVJkrIomaAlSZKyKJmgJUmSsiiZoCVJkrIomaAl\nSZKyKJmgJUmSsiiZoCVJkrKo/wPu/q1N3szSsAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe844cab710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from shapely.geometry import MultiPolygon\n",
"from shapely.ops import triangulate\n",
"\n",
"triangles = MultiPolygon(triangulate(shape, tolerance=0.0))\n",
"\n",
"# visually inspect the triangulation results\n",
"gpd.GeoSeries([t for t in triangles]).plot()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe844e412e8>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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GJilvqv+pBp3r8+ey/ciynObGN1paWgzsPIT+HQex/ehW1h/4nc3HZ9GiWiFW\nDm2BjXnCx83UthyNjVVx8eILPD0fcfToE96+DaJhw/o0bfojCxc2xs4u9alVwn+XjY0NlSqU59Cl\np7SvUyLDz4dGKqk1dCMPXr2naLFieL9+Td1Chdm+eCIV6zZPdwtYlkE3nw6t6lSlVZ2E7QL8g0O5\n+egF104eYvWyxfgGBFOlcqXEgG1tbU2hQpk7cee/TgToLHr//j3NWjTD0NaAYat+RVsn/a2TZj2b\nsXvxHjz/PkLTmun76KmhoUHX5h50be7BkfOHWL5rMXbt5/NdaWd+/7U5FsZ6eHn/s+Wol1cQnp4P\n8PR8xunTjyhUqABNm7ZkxYpxVK5c+ZtuqQif69KtJ9s2LMhwgN5z7iFdp+3D1MycPXv24OHuTrdK\nlZjQpCmO48exf90CWvcZlq68VHGxaP4rmFubm9K0RgWa1khY0RgSHsmtxy+4eeU0C+fNITAkDIAG\nDRpQoEABChYsiKurK66urri4uGBhYZGp3R//C8T/zix48uQJjZs2pkKT8rQZ0CbDPyRaWloUrVSU\n9QfWpjtAf6rZdy1o9l0LLt+9xLxNMynafRnGBrpIWhK//rqXo0cfERgYSePGjWjXbjCrVjUkf/60\n974Qvk2tW7dm8KABhEREY2aUdt+xWq2m3aQ9/HnhES1btmTs2LGcPXsWhULBuCZN0dXRYUyjRkzZ\n+TuNO/VD3zDtgyXiVXFpbm9gZmxIvcplqFe5DCcv38ZAV48oZTRubm4YGRlx7949jh8/jo+PD97e\n3qjVapycnHB1daVgwYIUKFAgMYC7urr+p/deEQE6kzp06MC+ffvoNbEntdvUznw+QzswoeMEgsOC\nMTfJ3KZJVUtXY9ecP9l4cD3LdizGxMQIM7PqbN48jfLly+epARghZSYmJjRqUJ895x7Rp3n5VNPe\nf+lPnWGbUcTGs3TpUipXTjjYYdWKFVRzLYD+h/GJofXqs+zCBdZMGcygWevSrINKpUr3/jPr/jyB\nf1AoXrsv0X/Bb6xbu449e/dgY2PzWbrw8HB8fHwSX5cuXWLv3r14e3vj7e2NgYEBzs7OREVFERoa\nysiRI7GxsfnsZWZmlitb4SJAZ0JgYGDiUT9/LNqNzysfWv3YCn3DjE81cytVEBNzE5bvWsJvfSdk\nqj73n99j6a5FKOKiOHz4ME2bNs2VP2zC19fFowdLpo9ONUBP3HCaKZvPU6p0aZYuXYqubsKe0f7+\n/rx49YpmaLmKAAAgAElEQVR1Q4Z+lv73zp1pvXo1b188xrFg0VTLV8er0EpHgyE8UsHSnYcZ5f4z\n+c0s2TlxORX6NsfD3Z2Dhw4l1gkSNiAzNjamaNGkZcuyTFBQED4+PsyZMwd/f392rV2Iq70VfiEK\n/IIi8AsKQ6GMwdrSAhtrq4SgbWuPjZ0DNra2iUFcpVJhZ2eHm1vGF5BllpjFkQnduvfALwrqtevF\ngQ2LuPP3caKjorArYE9j94bUbV83Q63WHfN3cGrrac6s/TtD9Xjr94aVe5Zx78VdpkydQo8ePdDU\n1Mzo2xHyEKVSib2tNXdX9cb+X0eqBYcrqP3rJh69DmDI0KF06vT5IQ6j//c/Ht64waPfxiXJt+6S\nxXirYMrmk6mWv2hULwh5w/bpw1NN13vSYt75heG1+/I/dY9VUqBjTYzMTNixY0eGPxnu2rWLOXPm\noK2pyevtg7Cz/Of9K2NV+AdH4hcSiV/wh1dIFH6hSvxCovELieTy3RdAQtDPCrFQJQedPXsWz+Mn\naNFjMBbWdvQcNYuFB24xYuF2TEyd2TR9Cz3K9mRKt6ncv3Q/XXn+8NMPKJQK/r51Pl3pg8OCmbt5\nNr0n96B201o8f/Gc3r17i+AspElXV5fWP/zAjjMPPru+++xDbNsvIFAB+/78M0lwVqvVnD17lgHf\n1Uo23y0e3QjwecNFz72plh8fH59mC/rSnUdcf/icXZNXfF53HV2u/34YH28fhg9PPcAnx8XFBS0N\nTVwtLKg2YP1nC790dbRwtjGlSjEHWtUoyo8tKzKhW21WDGrMvgk/cGmhO4Z6Cd06X7JRKwJ0BsTE\nxNCn74+0+3ksegafD4i4larAkDkbWHr0Pt2GzyAqBGb2mUXvin1ZOnwpfm/8UsxXV1+XgqUKsmrP\nihTTAChjolm/fw2dRrfFqoA5T54+ZszYMWIVn5AhXTy6s+1MwqnuKpWaH8bvpMPk3TRr3oL9+w9g\na5t0s67t27cjAT9/912yedqbmtKpQkV2LJmc6orXeFUcWqk0JNRqNSMXbaR59fpUKV4uyX07S2tO\nLtjG33//zZIlS9J4p59zc3NDpY7n6C/98Q+JpPvM/Rl6Pi4+4X09efIkQ89lhQjQGTBr1mxMrB0p\nW7Nhimk0NDSo1qg1434/yOLDt2nQrjdPrnsxrMlw+tceyPa521FEJp2n3G5gWx6/eoRCmfSeKl7F\n/jP7aD+yNe/j/Lh67SpLli7ByiprJ2IIeVPt2rXxC1Gw59xDbNrP58QNL5YtW8bYsWNT7DbYtnUr\nzUuUSLVbYUm7dhAfx86lU1JMo45XpbofyIx1u4mJVbFt/OIU01QpXo51o+awefNmDh06lGK6fzM3\nTxiEj1Aq2dKtO1v/usvusw/T9axCGUtMrAp392ocOnQw3WVmlQjQ6fTs2TPmL1xIu/7j0j0Al09X\nn+97DGbmjnPM2H6WYhXqcmrXOfpV+ZGRLUdxcsdfia2NUjVKoWegx+rd/7SiZVnm/M1zePzWmTP3\n/2L/of38seePLzpIIXx7NDU1cS3gRruJf+Do4sax48epVKlSiukfPnxIQEAA01p+n2q+WlpaTGvR\ngrMHthEeEphsGnW8Ci2t5FvQ7/wD+ePEBRYNmoSuTuqH2XZp1JoRnX9iypQp3L17N9W0n9LW0uKB\nry+NihWnR5WqdJ22F7/gyDSfO3PbC20tTTp1Ks+hQ19ugygRoNNBlmX69vuRxp1+xMI6c6vtLKzt\n6DlyFgsP3GTk4p2Ymrmyecbn/dXVmlfl0PmE384Pnt+j/8wfWX1gOQuWzufchXOJU50EIauGjxiJ\nnp4eypgYXr58mWraRQsXUtTWFnvTtLcX7VO9BrampqyeNDDZ+/Hx8WinEKAHzf6dIk4F6dm8Q9pv\nAJjadwTNqtXj559/xt/fP13P6Ovp8TTgPQAL27XH0cyc6gPWpbkR2dk7rzE3N6BevSLcvHmHkJCs\nbembXtkWoCVJGiZJkixJkuWH700kSTooSdIdSZIeSJKUuXOScoGtW7fyxvc9ddt0y5b8CpYox+DZ\n65n/5zV+6DOcgHcRzOg9k7N7zxEWEcovM35k9PKR9B3Yh3sP7tGiRQsxbU7IVj/88ANRUVGMGTOG\n4cOHs3DhQhSKpN1rSqWS27dvM65x+rev3dClK8/u3uD5vRtJ7qlVKrQ0k87u3XvqEi/f+fLnjLUZ\neh+7J6/Ezd4Zd3d3lEplmumNjIx4FfhP6/7YL/3xDoyg99zUuy1uPvfFxdUCPT0d6tQphqenZ4bq\nmVnZMg9akiRHoBHw6fk3/YGHsiy3lCTJCngiSdJWWZZjs6PML+XFixcMGDiIZt0Gcu/SGaIiQlFE\nRhAdGY4iKgKlIhKlIoqY6ChilNHExUQTF6MkLjYGVVzsh1cc8fEq4uPjkdXqJL+tJUlKmIHxYXBY\nzywfzy49w8AgfXt6CEJmSJKEh4cHTZs2ZciQIXTt2pURI0ZQvXr1xDTLli3DUFeX5iVLpjvfyi4u\nVC9YkDXThjBzx+czk9Tq+CQ7MSpjY5m5bjd9WnbB1daRjNDQ0ODyyv24dqhB9+7d2b59e6r95KZm\nZrwNDU383srIiI3uHnTZuJ4fqhehVc3k53E/8wmlUYuEJfItWhTl0KF9dO7cOUN1zYzsWqiyABgJ\nfDosKgNGUkLTzxAIBlTZVN4XERAQQKFChZBlmR1LpqClpYWmpiZaWlpoaWujo62Njk4+8uXTIV++\nfJjo6aFnYoa+vj76+voYGBhgaGiIoaEhxsbGmJiYYGxsjKmpKWZmCek+/WHy9vamd+/enDhxQuwk\nJ3wxlpaWbNmyhePHj9OvXz+OHTvG4MGDMTc35/DBg3ik0j+dkk0eHhSaPInT+zZTt7VH4vX4+Hi0\n/9WC/t+ijejm02Xx4EmZqn/C9LtDFHWvy4gRI5g3b16KaS2trPB/+vSza81KlqRrxcp0mLybtzuH\nkN8s6dLw98GR1KhREIDmzUsyevRMVCpVju9lk+XcJUlqBXjLsnznXx/DlwIHAB/ACOgoy3KSjh5J\nkvoB/QCcnJyyWp1sc+/ePRo3aACyTCFHV94F+LJl69YcraOnpyft27cXwVn4Kho1asSDBw8YP348\nXbt2pW7dukR92HcjoywNDelTrTobVs/iu+Yd0frwMy3Hqz7rg773/DWnr99j/4x1WdqSwN7KlhPz\nt1FnUAeWLl3KgAEDkk1nZ2fH49u3k1xf2qEDF16+oPrA9Tzf8nn/eWysiuiYOBo2LJZQlr0Zzs6W\nXLx4kVq1kp8Xnl3S9TciSdJJSZLuJ/NqBYwBxifzWGPgNmAHlAWWSpJk/O9EsiyvlmW5oizLFXPL\ntLEDBw5Qu0YNfN+/p1eLztzbcIISLkXo3LkzT//12ze7yLLM0aNH6dGjR47kLwjpYWBgwLx58zh2\n7BgXL15EL18+5p0+xV1v7wwv0JjVqhU6ksTmeWMTr8V/2LD/o6Fz11KzdCWaVMn8fjYfVS1RnjWj\nZrNp0yaOHDmSbBpHR0cioqOTXJckieP9B/DWP4x+8z7vj7748B2amhrY2f0zSFqjhhMnThzLcp3T\nkq4ALctyA1mWS/77BbwEXIE7kiS9BhyAm5Ik2QA9gb1ygufAKyD1hfpfmSzLTJ82jZ979cLN3Bxj\nfUOWDZ2ChoYGF5btoUbJinTv3j1D03rS6/79+2hra4uZGkKuUL58ed6+fcups2ehVCm67/6DcvPm\nMuHoEW68eZOuYK2hocG81q25fHI/Qf4+AKjj1Wh/WKiybNdhQsIi2TN1dbbV271RG4Z3+pFJkyZx\n7969JPcLFCiAMi4u2WetjY1Z29WdNUducujSP4tRTt16hZnpP4vBDh++x65dd2jTpl221TslWZrF\nIcvyPVmW88uy7CLLsgvwDigvy7IfCQOG9QEkSbIGipAQ0HMlpVKJe+fO7F67lpXt2nP9zRtWj5qV\n+LFLQ0ODY/O20KRKHfr168fVq1eztfyjR4/SrVs3MVtDyDUkSaJy5crMmTeP515e7DlyBP1Klfjp\n4AFKzZ7F6EMHufzqVapT1DpVqIirpRWrJvYHQP7Qgg4Jj2TN3uNM6DUUU8MkH6yzZFq/kTSpUoef\nfvqJ9+/ff3bPzc2NeLWa+Pj4ZJ/9vnRpOpavQLuJuwkMTZjVcuOpD05OCYtcjh17QM+e2zhw4Ajl\nyiVd6ZjdcnIe9BSguiRJ94C/gFGyLCc/e/0r8/X1pVb16ihfvOBI334M3buXsm7FaVMrad/b3qmr\n6Vi3JQMHDuTMmTPZUn5sbCwnT57Ew8Mj7cSC8BVIkkS5cuWYNmMGj1+84Ojp01jVqsWwkycoNnMG\nww/s59zz56iSCXybPTzwevqAB9fOo1ar0dHSYuDs1dhb2TCyy885Ut+9U1dT0M4J966fT78zNjZG\nAl4EpRyKVnTsRH4jI2oMWg/AE+8QSpay5dSpx7i7b2bfvoNUqVIlR+r9b9kaoD+0pAM//NlHluVG\nsiyX+tAlsiU7y8ouN27coHL58jS2tWVdx05sv36dV4GB7J2W8seuDWPn07dlZ0aOHJliX1dG/P33\n35QoUQIXF5cs5yUIOU2SJEqUKMHESZO49/gxZy9dwqVxY8ZfOE/R6dMYvG8fJ588Ju5DsC5pZ0eD\nIkVZP2MEanU8L739uPfsNXunrcmxOmpoaHBl1QE0ZOjRo8dnrXxtbW0e+Pqm+uyJ/gN55RtC/0VH\n8AuKQE9Ph44dN7B795/UqFEjx+qdpC5frKRcaMeOHTSp34AZjRszol59YuLiGHPwAD+26oq9VdIN\nYz61ZMgUhnXqx8SJE9m9e3eW6uHp6SkGB4X/rMKFCzNmzBhu3rvHlVu3KN7qe2bfuEHhqVP4efcf\neD58yIpOnVBEhBIVGcFfV+7QrnYzSqexd3RWfZx+9+7tW0aNGpV4XU9Pj2fvA1J91tbEhNWdu7Di\nwDWiomPZsuU6O3bspnbtrA9mZkSeDNBqtZpxY8cyctAg9vXqxfelSgPQd/t2dPPpsWBg+jbOn95v\nFJN6DWP27Nls3LgxU3UJDQ3l2rVrtGuX8wMOgpDTXF1dGTFiBJdv3ODOw4dU7tSJpQ8eUHHuHCwM\nDJDVajQ0NFk+bNoXqY+9lS3H5m7l3LlzLF++HABjIyNep9LF8VEpOzuczBL6nnfv3kv9+vVztK7J\nyXMnqkRFReHRuTO+jx5z6pf+5DdK2Db0vo8PB+/fY/eUVRmaj/k/918wNjBg6JLJKBQKfv45Y31q\nJ0+epEmTJpiYmGToOUHI7RwcHBg8eDCDBw/Gz8+Pffv2MXToUIwNjXBoVwW9fLrY57fB1sIaO0tr\n7M3yY2dpjZ2lDXaW+bGztCG/qUWW9zmvXqoCq0fMpO/sUbi6umJmbs67sLBk04YoFOy5c5sdd+7w\nJiSELu7uNP/++68SnCGPBWgvLy++b9aMUsYmHOjTh3yfrALqsnEDFYuUpmWNBhnO95fW3THUM6Dv\n7FFERUVlaDNxT09PZsyYkeEyBeG/xMbGhp9//jmxAfPpUVQfzw589+4dd9+9wfPRpYRrvj6Ehodh\nbWGFraU19pbW2FlYY2eeELztLPJjZ2WDvaU1RvqpHwzbrUk7Hnk9Z+LEiZQqVQr/iH92sFPFx3Py\nyRO237nNqcePadSwIRMWLqRx48Zf/dT7PBOgz507R6d27ehfrRoDvqv12XS2lefP8y4khPOrMz/g\n161JOwz1DegyaSAKhYLx45Nbu/M5Ly8vfHx8aNgw5f2lBeFbJEkSlpaWWFpaUrp06RTTxcbG4uvr\nmxjEfXx8ePf2HQ9fXsP7nDfePj54+/qgpamJvbVtQmvcIj/2FgnB3NYiP/aWNthZWTOlz3Aevn7G\n0cunyW9szH0fH7bfusmu27cpUKAA3Xr3Zl2nTpiZmX3Bv4nU5YkA/fLlS2rXrs0fvfvQqFixz+4p\nYmMZf/gQA9v2xMY8aysZ29RqyoEZ62g1ujdRUVHMmjUr1fRHjx6lS5cuX/23tCDkVjo6Ojg7O+Ps\n7JxiGlmWCQsL+zyIv3vH47fenLpyPaGV7utDYHAQ5iYJqwHfh4fTadtW3Lt359yKFRQpUuRLvaUM\nyTOHxmprafNs/HjM/7VDXKd167jyzhuffdeztBfApy7eu0GDoZ2pULECS5cuTTaNWq2mTZs2HDp0\niLJly2ZLuYIgpEylUuHn58fr16+5e/cuP/30U7b9n88IcWhsMkoVLcKroKDPrt16+xbPRw/ZNHZh\ntv5DVS9VgYsr/+TWzVv07t072ZVWt2/fxsTEhDJlymRbuYIgpExLSwsHBwdq1qzJL7/88lWCc0bl\n/hpmk4JubkkCtPumTVQrUZ5GlbN/R6qybsW5sfYIz548xcPdHZXq851WPT096d69u1jaLQhCivJM\ngC5QuDCvg4MTv190+hS+YWHsnrIqx8os4liA+xtP4OPtQ8eOHYmNTTirQKlUcurUKdzd3XOsbEEQ\n/vvyTIAu6ObG6w9zHyOVSqYeO8awTv2wNDXP0XIdre15vOU04SFhtG3bFqVSyblz56hQoQJ2dpk7\n31AQhLwhzwToAgUK8Do04aDHbps3Y2JozOTew75I2fnNLHm67SzqGBWtWrXiwIED9Oz5nz2iURCE\nLyTPzO8qWLAgrwICuOr1mlNPn+A5d3OODBKER0bwwseLlz5veOPvzbsAP/yC3vM+NAgLY1MeeT3n\nypUr/PXXX9letiAI35Y8E6AdHR15HxqK+8ZNfFe6MnXLV0/zGYVSwXPvN7xKDLa++H4ItsFhIYRG\nhROhiCI6JpqYuLjEPWY1JAktLS10dXTQ09XBUE+X0IhIgsIikCQJRwcncSCsIAhpyjMBWktLC0N9\nffzDwhhYuRZjVs1KDLZBYcGERoYToYhEEaMkJjYWVXzCrAtJktDW0iKftjZ6uvkw0NPF2EAXM1MD\nCjo7kd/cBFtLM+ysLHCytSK/mclnLfNzN+8zceUOQiOi+KFuGwo6uhGikSu3xRYEIZfJMwEaIPjD\nIOHMLUsTg62Rvi5mxgY429thaZYQbO2tzHG0scLGwjTTq/wev37HqEUbee3jT/WyNZn88zSMDY1Z\nsHUuZWunvLRVEAThozwVoG/evEnD+vXYO2cUZsapb66SWf5BIYxctJHbj19SrEAx9sz/HUdrx8T7\n796/pWOR9jlStiAI35Y8FaDLlStHly5dWbLzCOP7dsjWvBVKJb8t28pfV+9gZ2XPmonrKV046RLu\n1z6vKVy4cLaWLQjCtylPBWiAyVOnUrRIYe4+e03pQi5Zzk+tVjN30z52HDuPob4R0wbOpGHVxsmm\njVPF4ffelwIFCmS5XEEQvn15Zh70R6ampsyaPYeZG/cRn8ppxOmx+fBpqnUfye6Tl/ml4yBOrDqT\nYnAG8PZ/h72dPTo6OlkqVxCEvCHPBWiAbt26YWxuxd6/LmXq+RNXblO7zxjmb9lPi9o/cHrNBTxa\ndE/zOS8/LwoXEt0bgiCkT57r4oCEqXPLV66iQb26NKhSJt0Dhnefvmb00s288w+gdoW6TPhpMoZp\nnOTwqTe+XhQpnjv3nRUEIffJkwEaoEyZMnTq3DldA4beAUGMXLCR+89fU6pwaZaP2YiNZeqnfifn\n7fs3NKz5dc42EwThvyfPBmiAKVOnUbRwIe4/96KkW9ITGyIV0YxZupmzN+7jZOPEhqlbKF6gRKbL\ne+v/RszgEAQh3fJ0gDY1NWXm7DnMmDGVTZMHoflhBaBKpWLm+j3s+esiJkamzBk6n9oV66aZX1hk\nKE9ePeal90ve+HnhG+BDQEgAoREhRCgiiFZGp3p0jyAIwqfydICGhAHD1StXsO/UJdo1qMHaP0+w\ncrcnGpImQz1G0LFxZ2JVsTx9/Zhnb5/h5eOF9/u3+Af5ExwRTHhkGAqlgri4OAA0NTXRyaeDvpE+\nxuZGmDqb4mRfGhsXG/Yu2YuxsfFXfseCIPxX5JkzCVNz584dqlWtQrQyBkg4v9DEyISo6ChiYmNQ\nq9UJe3LoaKNnoIehiSHGlsZY2Flg7WiNXQE7nIs4Ye1sneoOeQO+G8jjh4/Jnz//l3prgiDkMhk5\nkzDPt6ABSpcunRiczfKbUbB0QazsrbBztcXezQHnIk7oGuh+5VoKgpDXiAAN3LhxA1dXG+rVK8i6\ndRexsrfEfVTXr10tQRDyuDy5UOXf1q5dTa9eVVizxoPNm3tyfMtxxnccT6wy9mtXTRCEPCzPB2iF\nQsHOnTvp0aMqAF27VubhwwkEv/NnYN2B+Lz0+co1FAQhr8pSgJYkaaIkSd6SJN3+8Gr2yb3RkiQ9\nlyTpiSRJKW9Q8ZXt2bOHqlUL4uBglnitcGFr/PxmUaKoNaNa/Y/z+89/xRoKgpBXZUcLeoEsy2U/\nvI4ASJJUHOgElACaAMslSdLMhrKy3dq1K+ndu1KS6zo6Wly+PJJfh9Zj1ZjVrB67+ivUThCEvCyn\nujhaATtkWY6RZfkV8ByonENlZdrz58959OgRLVumfMLJnDntOHDgZy4e+ptR348iOir6C9ZQEIS8\nLDsC9ABJku5KkrROkqSP/QT2wNtP0rz7cC0JSZL6SZJ0XZKk6wEBAdlQnfRbt24N7u6V0NFJfTJL\nixaleflyKnERkQyoPZCX919+oRoKgpCXpRmgJUk6KUnS/WRerYAVQEGgLOALzMtoBWRZXi3LckVZ\nlitaWVll+A1klkqlYuPG9fTuXTVd6R0czHj3bho1q7syodMEjm09nsM1FAQhr0tzHrQsyw3Sk5Ek\nSb8Dhz586w04fnLb4cO1XMPT0xMnJzOKF7dL9zNaWlqcODGYadOOMG7cZh5ffcjABYNSXT0oCIKQ\nWVmdxfHpnputgfsf/nwA6CRJUj5JklyBQsDVrJSV3VIaHEyPsWObcerUEO6ev8OwJsMIDw7P5toJ\ngiBkvQ96tiRJ9yRJugvUBYYCyLL8ANgFPAQ8gf6yLMdnsaxs4+/vz5kz5+jYMV3L4ZNVp04R3r6d\ngZ6mzOD6g3l49VE21lAQBCGLAVqWZQ9ZlkvJslxaluXvZVn2/eTeNFmWC8qyXESW5aNZr2r22bRp\nI61bl8XIKGv7a1haGvLy5WRatCjF9J7T2bfiz2yqoSAIQh5cSSjLMmvXrqJ37yrZkp+GhgZ7dvdj\n0aIO7F22h5l9ZqJSqbIlb0EQ8rY8F6AvXrwIxFK9esFszXfgwLpcvfo/Xt59xpD6QwjyDcrW/AVB\nyHvyXID+2HqWJCnb865QwRlfn5nYWOnza5NfuXH6ZraXIQhC3pGnAnRERAT79v1Jt27Z072RHCMj\nPR4+GI9718osGLCArXO25VhZgiB82/JUgN65cyd16hTB2jrnj51av747Gzd259gmTyZ0nkhcTFyO\nlykIwrclTwXohLnPX25LEA+Pqty7N45ALx8G1h1IWEjYFytbEIT/vjwToB8+fMibN140aVLii5Sn\nVqu5f98bT88H1K9fBEVEFGq1Gi8vry9SviAI/3155sirtWtX0717ZbS0snfXU7VazZUrrzl16jHX\nrr3m8aP3+PiGEhmpBMBIPx92lsa0qFKYQ1ee4ejomEaOgiAICfJEgI6NjWXLli38/ffgLOSh4ty5\np5w+/ZSbN97y9Nl7/PzCUChi0dCQMDHUxcHKmLJOlvzUoAwNKhSguLPlZ/t0GLaYhaGhYXa8JUEQ\n8oA8EaAPHTpEsWI2uLnlTzNtZKSSv/56zNmzz7h96x3PXwQQ8D4CZUwcWpoamBnr4ZTfhFqF7Kj2\nQxUaVyyIs41puuoRG6dCW1s7q29HEIQ8Ik8E6OQ2RgoMjOTYsYdcuPCcu3e9efUykKCgSGLj4tHR\n1sTCRB9XG1Oal3WlZilnGlZwJb9Z5lu/siwTJwK0IAgZ8M0H6L/++osjR05galqJRYtO88YrmJCQ\nKFTxanTzaWFlaoibrSmdahajdmln6pZ1wdgwa3t0JCdeLaOpqSm2JhUEId2++QDdvn17ALZtu0Yp\n1/z0bVSWeuVd+K6kU5onqWSn2Lh4tLN5gFIQhG/bNx+gmzRuik5UPm4/vcndp3cJCIvGxsKAumVd\nvmg94lTx6OiI7g1BENLvm/+8ff3adRrXaMqaCRs5vuIUpYtU59flJzBqMYuBi4+iUMZ+kXrEquLR\n1vrmfx8KgpCNvukAHR4ejo+vN672BQAwNTZj2sBZnF9/hY6Nu7Hx+AOMW8yixZjtePmF5mhd4lRq\n0YIWBCFDvukAfePGDYoUKIqW5uctVy0tLX7pOIBTa/5m3I+TuPUiAtcuiyjXbzXn7+bMSj/RghYE\nIaO+6QB99epVijgVSzVN8+9asn/RUdZO3kycbE7tIRtw7LiQtUeyd6vQhD5onWzNUxCEb9u3HaAv\nX6WYS+oB+qNSbqXYMGUrh5cep5BLBX5ccASj5jMZsfIEsbFZPyElNi4ebW3RghYEIf2+6QB9/fp1\nihcsmaFnrMzzM3vofM6uu0ireh1YcfAWBs1n0GbCTnyDIjJdl7h4Ndpaog9aEIT0+2YDdEBAAKGh\noThaZ25zonza+RjSdRhn1l5iRI+xXHwQhH2H+VT+ZQ3XHntnOD8xzU4QhIz6ZgP09evXKe5WIltW\n7rWp35ZDS0+w8re1hEcbUOWXNbh0WczWk/fSnUesKl4s8xYEIUO+2QB97do1ijinr/85vcoXq8CW\nGbvYv+gwjrYl6T7zT0xbzuK3tadQqdSpPpswzU4MEgqCkH7fbIC+cukKxV2L50jetlb2LBixhDNr\n/qZRjVbM230V/WbT6TxlD4GhimSfSRgkFC1oQRDS75sM0LIsc/3GdYrlUID+SFdXj5E9RnN27SUG\ndRnGyVs+5G87lxqD1nPnhd9naePixTQ7QRAy5psM0D4+PsSr4rGxtP0i5WloaNCpSReOLj/FolHL\n8A/TpmzfVbh5LGXP2YeAaEELgpBx3+TE3GvXrlHCrSSSJH3xsquVrk610tV54+vF7A3T6TB5N6ZG\nejUPd1kAABuLSURBVNQs6YhO/sJfvD6CIPx3fZMB+uqVtFcQZjeFUsEzryc8f/uM1z6v8XnvTVhk\nOOamlgSGBHDg4hOMjHy+aJ0EQfhv+yYD9JXLV2hR8Ydsyy84LJgnXo958fY5b3y98AnwITD0PaGR\noUQpooiJjUGWZTQ0NNDJlw8DI30MzQ1RxCkIDAlAQ5LQ1NRi+fLl2VYnQRC+fd9cgJZlmZu3bjKy\n49g006rVarwDvHnq9YSX717w1u8N/oF+BIYHEhYZSnR0NLFxCduRamppoquri4GxAcYWxpgXNaeY\nU1HsC9jjWMQJRzcHtHS0UKvVHN3kyYGVB/h/e3ceF3W1/3H8dYYZmAEEcQNkEXdLTUhT0zL3LE2r\n63XL8uZVK83Sm2VpmVl5KzRtMTO3LLdyTcstNTXrV6ZiIu5bpqKiBAgKA8z5/QFyTZFtBgdnPs/H\nYx4w3+93zvmM+nj7nTPne76X0y7Tu103hvXoz0OjB9CjR4/SfvtCCBficgF99OhRLGZvyvmU4+Dx\n/Rz44wDHTx/j1NlTnEk8w18piaSkpZCefpms7Jw1NkwmE2ZvM77lffGv5EdYrRDuqtaYqjVDqHZb\nOIFhgYVe8GKz2Vg+7Ru+m/EtmRmZ9O34KJOGjsHb7M1rMyfwWN++MotDCFEsdgW0UmosMBBIyN00\nSmu9SinVAXgH8ASswIta64329FVUnTp1Iv7saVo+0RSlFJ6enlh8LPgG+FK+SnnqRNYmuFoQoXVC\niagXQfnKRbsj943YbDYWf7iYtV+uxZZl49+dexH9zOi8MM7KzuLLdUtZt3G9I96eEMKNOOIMepLW\nesI1284DD2mtTyulGgBrgRAH9FWoL774ghYtWjB2wevUblS71PrJyspi4cSv2LBwAwYUz3R7nLcH\nvoTxmjWf123bQlh4GPXr1y+1WoQQrqlUhji01jFXPY0DLEopL611Rmn0d7W7776biRMnsuCzBQyf\nMszh7VvTrcx7bx6bl2zG5GFiRM9BjOk37IZDIHPWLaH/wAEOr0MI4foccaHKs0qp3UqpWUqpgHz2\n/wPYeTPC+YohQ4Zw5sgZ9v22z2Ftpl9K57PRnzGw6UB+Xfkrr/cbTuJ3sYx98j83DOeEpAts3PET\nPXv2dFgdQgj3UWhAK6XWK6X25PPoBkwFagKRQDww8ZrX1gfeBZ4qoP1BSqntSqntCQkJNzqsWLy8\nvHhn/Dssen8xWmu72rqUeokpI6YwqNkgfl//O+8+NYoL3+7mpceeKfSLw/nrv6Fb1674+/vbVYMQ\nwj0pewMsryGlIoBvtdYNcp+HAhuBJ7XWPxWljSZNmujt27c7pB6bzUbknZG06deaZp2aFfv1KYkp\nzBo7ix0bd1LBrzzj+r/AgId6F/n1WmvuHPggU2ZO47777it2/0II16SU2qG1blKUY+2dxRGstY7P\nffoIsCd3e3ngO+DlooazoxkMBiZGT+TJQU/SuF1jjEW83dRfCX8x49WZ/L71dwIrVGbWyGj6dHyk\n2P1v37+b9OxMWrVqVezXCiEE2P8l4XtKqUhAA8f531DGs0AtYIxSakzuto5a63N29lcsHTp0oE7N\nOmxa9APt+3Qo8Njz8eeZPno6cb/uJaRyEAvGfsyjrR4ocd+fr13MkwP6O2U9ECGEa3DYEIcjOHKI\n44qYmBja39+e91a9i8XHct3++D/imT56BgdjDhIRHMrk597ggWat7erzUvplqvdqye49sYSGhtrV\nlhDCtdy0IY5bQVRUFB3ad2D17NU8+uyjedtPHjrJ9Fenc2TPUWqHRrBmwpe0ubOFQ/pcumUNzZs1\nk3AWQtjF5QMa4J3x7xB5ZyRte7Yl8WwiM8fM5I/9f3B7jbps/mgRzevf6dD+5qxbzNBXXnBom0II\n9+PyQxxX9O7Tm4ULFuY9vz2iNj4Wb7Kys8jMyiIrO4us7Oy8n9nZ2WTbch/ZNrJtNmzahs2Wjc2m\nsWmN1ja01jkPyJvSp5QiPT1d1t4QQlxHhjjy0aVzFxYuWEiNkCD8fX0wGsFkzMDb6IHRw4zJ5IGn\n0YTJ6IHJ6IGnyYSnyZjzMBrx8vTEy9OIp8mE2fPKcxNeJhO7Dh5lzsoNJCan0qJFTeLizpCYmEhQ\nUJCz37YQ4hbmNgHdsmVLQoKqsHxS4cuQFtU3m37hgwUrSUy6SMf7b2f69L6EhgbQvv0nxMTE8MAD\nJZ8FIoQQbhPQ3t7epGdYHdLWvFWbmbZkNRcvXebhhxvx6aePUamSb97+qKhgYmJ2SkALIeziNgFt\nsVi4nF7y5UBsNhufLV3LF99uJN2aSZ8+dzFlSi98fc3XHRsVFcKyZb/ZU64QQrhbQKejtS7WxSNZ\nWVl8sOBbvlr3I1rbGDDwHiZMeBSz+cZfAEZFhTFmjKz/LISwj9sEtNFoxOjhQWZWFp4mU6HHp1ut\nRM9ZxjebfsFoNDBseBvefPOh69Z7zk+dOoGcOZNAcnKyLJQkhCgxtwloAIvFTHpGZoEBnXrpMm/P\n/Jq1P+/E28eLsW90ZuTI+wtdue5qHh4GGjQIZ/fu3dx7772OKF0I4YbcLKAtpFsz8ctn34XkFN78\n7Cs27YglIMCHDz7sweDBrUvcV1RUVWJiYiSghRAl5l4BbTaTbv37TI7484mM/XQBv8QeICjInzlz\n+tG3b3O7+4qKqsr//d82u9sRQrgvtwpob4slb6rdsVNnGTttPrsOHKVaeCWWL3+arl0bOayvqKgw\nPvnkG4e1J4RwP24V0GaLmT2HT/Da1HnsP/ondesGsXHjcFq3ruvwvho2DOHgwaNkZGTg5eXl8PaF\nEK7PrQJ6567d7Ny1m5o1KvPrtpe5666IUuvLbDZRs2YwcXFx3HmnYxdjEkK4B0fcNPaW4mMxceRo\nAp07T2Ho0IWcP59aan1FRYWya9euUmtfCOHa3Cag09LSsJi9SFrxMvGLX6D73XVZ8OU2qlQeQa2a\nr/Hee2uxWrMc2mdkZBAxMXJFoRCiZNwmoOPi4qgXEYzRw0BQBV8+GdaZ88teZNf0p2lYtQJvvP4t\nFstQ7mryX77+egc2m83uPqOiwoiJ2eGA6oUQ7shtAjo2NpaG1Stdt/2OmoEsG9eLtFWjWPZGTzwz\nbPTpMxNv7+d48IGP2LbtWIn7jIwMZffuvQ4JeyGE+3GfgP59Fw3Cyhd4TNeWdfnpw/6krx5N9MD2\nHNt3jubN3yUg4D/07z+HP/9MLFafAQE+VKxYjsOHD9tTuhDCTblRQO+kYY3AIh1rNBoY+mgz9s0e\nTOI3IxnQsRFrVu4hPHwU4WGvMGbMCtLSirYyXlRUODExMfaULoRwU+4T0HH7aFi9SrFfV97XTPTT\nHTn99X84/OVQ7q0bwuT3N1Cu3DDuaPgmM2duLXAIIyoqSMahhRAl4hYBffbsWbKyMqlaqZxd7dQM\nqcC80f8gZeXLbJz4BFU8PXnm6QWYvYbSuvVENmzYd91rcqbalc59FoUQrs0tLlSJjY2lYc2qxVoH\nujCtIyNoHRmBzWbjy3W7mbT0Vzp0+BAfH08efKAB497sSt26gURGhhET81Wx16EWQgj3CeiIiqXS\ntsFgoF+nSPp1iuRSupXor35m9trfqVfvdQID/ejduwkZGenEx8dTtWrVUqlBCOGa3GKII3bXThpW\nq1Dq/XibPXm9X2sOfzGUOSO7YczWTJ68keTkNKZOnVrq/QshXItbnEHvid3Nv59sXCpt22w2fow9\nwfKt+9m65ySHTiWSnHoZDw8PylesRMPmjUlL+gtfX9/CGxNCiKu4fEDbbDb2HjhEgwjH3GF7+4HT\nLNmyly2xJ9h/IpG/LqahlAH/gAoEVatDm549adyqE4Fh1fNes3nFfPYfOOiQ/oUQ7sPlA/ro0aNU\n9PfBP5+7bxdm/4nzfL0pjk2//0Hc8fOcT0pFA+X8/QkKr0Xzrg9xZ6v7Ca91e4HtBIXX5Mev15bw\nHQgh3JXLB3TODI7gQo87cTaZRZviWB9zjN3HEjh74SLZNhu+5cpRJbQ6jdq3Juqe+6lRP6pY9ycE\nCAyrzuFDcgYthCge1w/o3btpGP73S7zP/ZXKkh/3se63I8QcOcfp8ylkZmXj7e1D5arh1GnRhX+2\naEfdqLuLdBfvwvhXqExGRgYXLlygYsXSmU0ihHA9dqWPUmosMBBIyN00Smu96qr94cBeYKzWeoI9\nfZXUrp2/4Z+RQu83F/PbwTOcTEghw5qJ2WymUnAo4ZFtefDuttRv1gpPz+IPgxSFUoqQiFocOHCA\nFi1alEofQgjX44gz6EkFhO/7wGoH9FEiqampLFvxHQAGgwf1m97LY090IbJlO8zeN3dWRWBohAS0\nEKJYSm0etFLqYeAYEFdafRTmpRdfAqBL/y74V/In9pdNLJsRzZoF08m4nHZTa6kYUp29e6+/FFwI\nIW7EEQH9rFJqt1JqllIqAEAp5QuMBN5wQPslEhcXx7TPpuEf4E/vEb34eNOHTFr7Prc1rcEPy2fz\nXJcoxg3ozE+rF9+U9ZoDw6qzRwJaCFEMhQa0Umq9UmpPPo9uwFSgJhAJxAMTc182lpyhj0Jv+KeU\nGqSU2q6U2p6QkFDY4UWitWbw04MxKAPV6lfL214lrApDoocw47fpjJo9Cr9KRuZOepUhneoz6YUn\nOBRbeosaBYfV5ODBA6XWvhDC9SittWMaUioC+FZr3UAp9SMQlrurPGADxmitPy6ojSZNmujt2+0P\nyaSkJEJDQsnKyuKxV/rQrme7Gx5rs9nYtHQz675cx8nDJzF7+9CoRXu6PjmMSkEhdtdyRaY1g+Fd\nG5OaehGTyeSwdoUQtxal1A6tdZOiHGvvLI5grXV87tNHgD0AWut7rzpmLJBaWDg7UnJyMgaDBxnW\nNFp2aVngsQaDgbbd29C2exvS09JZPm05W1dsYVSf5QRUDuTu+//BA32ewsvsbVdNJk8vKgUGc+TI\nEerVq2dXW0II92DvGPR7SqlYpdRuoA0w3AE12S05OZmLqSn4+Ppg9in61Dmzj5le/8kZr35/zcSc\n8epls3muc6RDxquDw2tw4IAMcwghisauM2it9eNFOGasPX2URFJSEgAhdUo+RBEYHsiQ6CEAxP0S\nx7Kpy5k76VXmTnqNOnc0pUu/odRuWKRPKXkqhVZn3759dOvWrcR1CSHch0teSZicnAxAZKtIh7RX\nv3l96jevnzNevXgTa+euY8KwPsUer64SIjM5hBBF55IBferUKQBaPXxvIUcWj8FgoG2PtrTt0bZE\n49VB4TXY+ONKh9YkhHBdLrlg/5IlSwAIqBJQan1cO15d764abCxkvDowrAaHDh7AUTNnhBCuzWHT\n7BzBUdPsDAYDWmtMniaMJiMmTxMmTxNeFi+8vD3xspixlLPg7WvBx98XH38f/ALK4RtQjvKVyuNf\n0Y+AwAC8fYs/c+PKePXBmIMoFLWvGq/WWjPi0aYcOXSQypUr2/0+hRC3nps2za4s2rlzZ94ZaqY1\nky7N29Ggel0SU5JISk0hKTWFlEsXuXg6jbPpSVxOv0y6NYOMTCuZmZlkZWdjs9ny2lBKYTAY8DB6\nYDR65IS9lyeeFs/cwPfCu5wFi683vv6++Pr70Oz+prTt2ZbDvx9m54adRD/fG4uvL43ubo+ffwX2\n798vAS2EKJRLnUFbrVYioxqzb+8e6lSpwqGEBLTW3N/sPpa9Nb3YS4empF7k9IWznP3rPGcTz3M+\n+QLnk/4i8WIySReTSE5LJTkthYuX00hLv8SljHTSrelYrZlYszLJvibsr/Dx8SE1tdCLLIUQLsht\nz6DffPMtPLz9AFjx1NM0HD+etu3bsfXHrYR2b8aGSfOpX71ukdvz8y2Hn2856lWrZVddNpuNlEup\nvPX5B3y4ZDa1atSwqz0hhHtwmS8JY2Ji+PiTqdzerC2eJhPB/v680rEjG9avZ/GSxYRVC6fxgM5M\nWPDpTa/NYDCQdjmNKcu+YOAj93P02FESExNveh1CiFuLSwS01Wql7xP9eGTQS5w6up8qfjln0S+0\na0dFHx/Gvv46M2bOYMiQIbw6YwKthnbncsblm1pjpxGPEx5UmaG9u9D8jttYsWLFTe1fCHHrcYmA\nfvvt8Xj5VaZ5h4c5eXgv9Sr97wu4mX0eY9u2bcTFxfHEE08wf/589v95lJBHm/Jz7I6bUt87cz/h\n8MnjfPbaYADaNanPwvnzbkrfQohbl0sE9PJvVnDPQ31QSnEh/iTNIyLy9t1bqxbNatTg5ZEjAahZ\nsyar16ymUVQkbZ7vwcuf/rdUa/vjzEnemP0+Q3t1IbBizrzs+xo34Keff867JF0IIfLjEgH9eN8+\n7NqyGpvNRlraRTrcdtvf9s97oh8JCQksXLgQAKPRyOTJkxk9ejQfLJ5FZP9OJKWmlEptnUY8TvWQ\nIPo/3CFvm4/FTDMZ5hBCFMIlArpfv37EbP2ew3tyhizuqFr1b/sr+foyqGVLPv7oI9LT0/O2d+vW\njWXLlnEhLZmwfzRj9S8/OLSucbMnc/zMn0x7dfB1+9o3qc9XMswhhCiASwR05cqV6dCxI0s/e49y\nFm8Mhuvf1viHumL28GDcuHF/2x4cHMyKlSto264tD48awKD3RjrkFljH4v9k/NyP+c9j3agc4H/d\n/laNG7Bl69a8hZ2EEOJaLhHQAIOffoqje3cRHpD/+hsGg4GP/9mD9evXc+LEiev2jRs3jnfffZd5\n65dT97H7OH3+rF313P9CX2qFVeXxLm3z3V/O28JdDeqycqUsniSEyJ/LBHTbtrlBaMu+4WJEXe+4\ng9uCg3lxxIh897dp04ZVq1ahzCZq9b6X+euWlaiWV6dHc/Lcaaa9+kyBx7VrUp+vFs4vUR9CCNfn\nMgFtMBgYNGgQ6WYzD86YTszJP/M9bkG/f3Hs+HHWrVuX7/7y5cuzaNEiunfvzpPvjKD7a08Va8jj\n0J/HmLBgGi/2e4SK/n75HmOz2fhheyxLN23j9On4fI8RQgiXWosDIDs7m1mzZjFm1Cja167Nax06\nEuT396AcOH8e3+3fz8Yffsh3vPqKHTt2MHz4cHzN3mz84CvqhhV+iXatXvfg621k4bsvXrcvw5rJ\nyi2/MXfNFvzKV2DkK6Po3r17sdcIEULcuoqzFofLnEFf4eHhwcCBAzlw5AhVW7akxQeTid64gcuZ\nmXnHTOnRE1tWFtHR0QW21bhxY9asWUOV4CAa/asjHy2eXeDxI6eOJ/7COaaO/vvQRnJqGtOXraPz\n82/x67EEZnz+JTt3/U6vXr0knIUQN+RyAX2Fn58f70ZHs23nTvYajTSd9D5LdsWgtcbTaGT8Qw+x\ndOlSzp8/X2A73t7efD7ncwYNGsSLn7xFu2G9sFqt1x23/4/DfLBoJq/0706Any8AJ8+d5905y+jy\n/NskefixYdNm1qz7njZt2qCUKpX3LYRwHS43xHEjmzdvZtizz2KxWnm70wM0Dg/njv+Oxz84mJmz\nCz4zvuLgwYM88/QzYNOsnvAFd9VrBOSMKdfs2ZKA8hbmj3+BuCMn+GLVZn6JPcC/Bwxg2LDhhISU\n/Aa2QgjX4dZDHDdy3333sX3XLv790ks8tmA+Ty9axISHHyE2Lo5ff/21SG3UqVOH1WtWU6/+bdwz\n+FHGzn4fgBFT3uJc0gUe73wfA9+eyoiP5tKuWw+O/3GC6OgJEs5CiBJxmzPoq128eJHxb73F9GnT\nuJiairevL9+vX1+sNhYtWsSECRMIrliFUwlnAGhw+22MfGUUPXv2xGQylUbpQohbXHHOoN0yoK84\nfvw4zw0ezMrVq6lWrRoNGjTAarWSkZGR9/PqR3p6OlarNe/n1dauXUuHDh1kbFkIUSC3vaNKcUVE\nRLBi1SpefPFFLly4QOvWrbFYLJjNZiwWy99+v/anl5cXSikyMzO5fPkyfn75z3kWQoiScuuAvqKw\n6XYFMZlMMpwhhCgVbvMloRBC3GokoIUQooySgBZCiDJKAloIIcooCWghhCijJKCFEKKMkoAWQogy\nSgJaCCHKqDJ1qbdSKgH4o5gvqwQUvGaoc0l99ivrNUp99nG3+qpprSsX5cAyFdAloZTaXtTr2p1B\n6rNfWa9R6rOP1HdjMsQhhBBllAS0EEKUUa4Q0J85u4BCSH32K+s1Sn32kfpu4JYfgxZCCFflCmfQ\nQgjhklwioJVS0Uqp/Uqp3UqpZUqp8s6uCUAp1UkpdUApdVgp9bKz67maUipMKfWDUmqvUipOKfW8\ns2vKj1LKQykVo5T61tm1XEspVV4ptTj3394+pdTdzq7pakqp4bl/t3uUUguUUuYyUNMspdQ5pdSe\nq7ZVUEp9r5Q6lPszoIzV57R8cYmABr4HGmit7wAOAq84uR6UUh7AFOAB4Hagt1LqdudW9TdZwAta\n69uB5sCQMlbfFc8D+5xdxA18AKzRWtcDGlGG6lRKhQDPAU201g0AD6CXc6sC4HOg0zXbXgY2aK1r\nAxtynzvL51xfn9PyxSUCWmu9Tmudlfv0FyDUmfXkagoc1lof1VpbgYVANyfXlEdrHa+13pn7+0Vy\nwqVM3X5cKRUKdAZmOLuWayml/IFWwEwArbVVa53k3KquYwQsSikj4A2cdnI9aK23AInXbO4GzMn9\nfQ7w8E0t6ir51efMfHGJgL5Gf2C1s4sgJ+z+vOr5ScpYAF6hlIoAooBfnVvJdSYDLwE2ZxeSj+pA\nAjA7dwhmhlLKx9lFXaG1PgVMAE4A8UCy1nqdc6u6oUCtdXzu72eAQGcWU4ibmi+3TEArpdbnjqVd\n++h21TGjyfnoPs95ld5alFK+wBJgmNY6xdn1XKGU6gKc01rvcHYtN2AE7gSmaq2jgDSc+9H8b3LH\ncbuR8x9JVcBHKdXXuVUVTudMKyuTU8uckS+3zE1jtdbtC9qvlPoX0AVop8vG3MFTQNhVz0Nzt5UZ\nSikTOeE8T2u91Nn1XKMl0FUp9SBgBvyUUnO11mUlZE4CJ7XWVz51LKYMBTTQHjimtU4AUEotBVoA\nc51aVf7OKqWCtdbxSqlg4JyzC7qWs/LlljmDLohSqhM5H4W7aq0vObueXL8BtZVS1ZVSnuR8QbPC\nyTXlUUopcsZP92mt33d2PdfSWr+itQ7VWkeQ82e3sQyFM1rrM8CfSqm6uZvaAXudWNK1TgDNlVLe\nuX/X7ShDX2JeYwXQL/f3fsA3TqzlOs7MF5e4UEUpdRjwAi7kbvpFa/20E0sCIPfsbzI536DP0lq/\n7eSS8iil7gF+BGL53xjvKK31KudVlT+lVGtghNa6i7NruZpSKpKcLzA9gaPAk1rrv5xb1f8opd4A\nepLzsTwGGKC1znByTQuA1uSsEHcWeB1YDnwNhJOzmmUPrfW1XyQ6s75XcFK+uERACyGEK3KJIQ4h\nhHBFEtBCCFFGSUALIUQZJQEthBBllAS0EEKUURLQQghRRklACyFEGSUBLYQQZdT/A7OGiD/KT3KD\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe844e32860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tri_cleaned = []\n",
"\n",
"# only preserve the triangles that are within the bounds\n",
"# of the parent shape\n",
"for poly in triangles:\n",
" if poly.centroid.intersects(shape):\n",
" tri_cleaned.append(poly)\n",
" \n",
"gpd.GeoSeries(tri_cleaned).plot()"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe841f20f60>"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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71ZwbjK4mA/Q1yjRnMmPnNOq41uHl9pPQa0tfvP6fJo75mMSzpzh8eAJ79+5l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\nBLQQQrRREtBCCNFG/X+C5iWG0uK1swAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe841f20d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from shapely.geometry import Point, LineString\n",
"\n",
"lines_and_points = []\n",
"just_points = []\n",
"\n",
"# used as reference\n",
"shape_buff = shape.exterior.buffer(.1)\n",
"\n",
"# extract the midpoints of all triangles in the triangulated point\n",
"# cloud shape that do not reside on the geometry exterior\n",
"for tri in tri_cleaned:\n",
" ext = tri.exterior.coords\n",
" for start, fini in zip(ext[:-1], ext[1:]):\n",
" lines_and_points.append(LineString([start, fini]))\n",
"\n",
" for start, fini in zip(ext[:-1], ext[1:]):\n",
" pt_0 = start[0] + ((fini[0] - start[0])/2)\n",
" pt_1 = start[1] + ((fini[1] - start[1])/2)\n",
"\n",
" new_pt = Point([pt_0, pt_1])\n",
" new_pt_buff = new_pt.buffer(.05)\n",
"\n",
" \n",
" if not new_pt.intersects(shape_buff):\n",
" lines_and_points.append(new_pt_buff)\n",
" just_points.append(new_pt)\n",
" \n",
"gpd.GeoSeries(lines_and_points).plot()"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe841f824a8>"
]
},
"execution_count": 68,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Ufpk6bjlbd3zseHXccnbSUQBgUCj8Mj3ZvkmRy48A0Igo/DK9edYUOZMfAaARcfO0MmXP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\nFiC7jQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe841f8c358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"points_gs = gpd.GeoSeries(just_points)\n",
"\n",
"points_gs.plot()"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe840872c50>"
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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v8FLpUF0uglu3ntYzJrAlG+HxFIyx18dYvx6Whx7CUK9uifZMF0LgX70aR1oG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\n/Tiyfv0rO0PWGBNR0u3NC9bUUPviEjIvvNCZAb1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"text/plain": [
"<matplotlib.figure.Figure at 0x7fe840872080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# note that points are out of order and will need to be arranged\n",
"gpd.GeoSeries(LineString(just_points)).plot()"
]
},
{
"cell_type": "code",
"execution_count": 94,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe840601400>"
]
},
"execution_count": 94,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7fe840649be0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# we know from trace data a given start and end point for a trip\n",
"# and can use these to determine the start and end nodes\n",
"start_coords = [ -0.59326171875, -55.4663993639381 ]\n",
"end_coords = [ 12.45849609, -48.2246726495 ]\n",
"\n",
"start_buff = Point(start_coords).buffer(0.7)\n",
"end_buff = Point(end_coords).buffer(0.5)\n",
"\n",
"start_pt = points_gs[points_gs.intersects(start_buff)].iloc[0]\n",
"end_pt = points_gs[points_gs.intersects(end_buff)].iloc[0]\n",
"\n",
"# visually sanity check\n",
"gpd.GeoSeries([start_pt, end_pt]).plot()"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import copy\n",
"\n",
"remaining = copy.copy(just_points)\n",
"sorted_pts = [start_pt]\n",
"\n",
"reached_end_pt = False\n",
"\n",
"while not reached_end_pt:\n",
" current = sorted_pts[-1]\n",
" nearest = None\n",
" dist = 10000\n",
" for pr in remaining:\n",
" d = pr.distance(current)\n",
" if d < dist:\n",
" nearest = pr\n",
" dist = d\n",
" \n",
" sorted_pts.append(nearest)\n",
" remaining.remove(nearest)\n",
" \n",
" # check if this is the same as the end pt\n",
" if list(nearest.coords) == list(end_pt.coords):\n",
" reached_end_pt = True"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe84052bb00>"
]
},
"execution_count": 98,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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n2id33+Tuz2bv7yJTRhOCTdU9M5sIfAy4NegsPTGzWuCfgf8BcPe4u+8MNlWP\nIkCFmUWASmBjwHnexd2fALbvtXou8Kvs/V8BZw5oqG50lXcgu6xkC38v/wY8FHSILkwA3ui0/CZF\nXqBvM7OpwJHAU8Em6dFPgMuBdNBBcjANaAJ+kZ2CutXMqoIOtS/uvgH4IbAe2AQ0u/vDwabKyVh3\n35S9vxkYG2SYXurXLivqwjezhdm5w71vcztt8y0yUxG/CS7p4GJm1cA9wFfcvSXoPPtiZqcBW919\nadBZchQBPgDc5O5HAnsorumGd8nOfc8l80I1Hqgys38NNlXveOa885I493wguizSX09cCO4+p7vH\nzewzwGnASV6cbyjYAEzqtDwxu65omVmUTNn/xt3vDTpPD/4JOMPMTgXKgRozu8Pdi7WU3gTedPe3\n/2q6myIufGAO8Lq7NwGY2b3AccAdgabq2RYzG+fum8xsHLA16EA9GaguK+oRfnfM7BQyf8qf4e6t\nQefZh2eAA8xsmpnFyBzweiDgTPtkZkZmfnmlu/846Dw9cfcr3H2iu08l87t9rIjLHnffDLxhZgdl\nV50EvBRgpJ6sB441s8rsv42TKOKDzJ08AFyQvX8BcH+AWXo0kF1Wsu+0NbPVQBmwLbvqSXe/KMBI\nXcqOPn9C5gyH29z9ewFH2icz+yDwF+BF/jEnfqW7LwguVW7MbDZwmbufFnSW7pjZEWQOMMeANcBn\n3X1HsKn2zcyuAc4jM9XwHPA5d+8INtU/mNlvgdlkLi+8BfgP4D7g98BkMpdbP9fd9z6wG4h95L2C\nAeqyki18ERHpnZKd0hERkd5R4YuIDBEqfBGRIUKFLyIyRKjwRUSGCBW+iMgQocIXERki/j8Gt0JZ\ndPKpDwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe8405686d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gpd.GeoSeries(LineString(sorted_pts)).plot()"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"{\"coordinates\": [[-1.021728515625, -54.92412823402425], [-1.021728515625, -54.92412823402425], [-1.021728515625, -54.92412823402425], [-1.395263671875, -54.93659610930455], [-1.395263671875, -54.93659610930455], [-1.746826171875, -54.73616359359258], [-1.746826171875, -54.73616359359258], [-0.72509765625, -54.48277268370636], [-0.72509765625, -54.48277268370636], [-0.6591796874999999, -54.20613645563655], [-0.6591796874999999, -54.20613645563655], [-0.7360839843749999, -53.70937389741451], [-0.7360839843749999, -53.70937389741451], [-0.6591796875, -53.27093483304583], [-0.6591796875, -53.27093483304583], [-0.76904296875, -52.69528666841301], [-0.76904296875, -52.69528666841301], [-0.780029296875, -52.40241683730667], [-0.780029296875, -52.40241683730667], [-0.63720703125, -52.030558330842084], [-0.63720703125, -52.030558330842084], [-0.7910156249999999, -51.74732340650572], [-0.7910156249999999, -51.74732340650572], [-0.692138671875, -51.26723404910435], [-0.692138671875, -51.26723404910435], [-0.68115234375, -50.750152881113465], [-0.68115234375, -50.750152881113465], [-0.439453125, -50.12515445491698], [-0.439453125, -50.12515445491698], [-0.439453125, -49.57506035588648], [-0.439453125, -49.57506035588648], [-0.3955078125, -49.280838230134286], [-0.3955078125, -49.280838230134286], [-0.5712890625, -48.98738475988715], [-0.5712890625, -48.98738475988715], [-0.24169921875, -48.44150082633666], [-0.24169921875, -48.44150082633666], [-0.054931640625, -47.93105796516792], [-0.054931640625, -47.93105796516792], [0.087890625, -47.70198624669467], [0.087890625, -47.70198624669467], [0.439453125, -47.395922557507376], [0.439453125, -47.395922557507376], [0.845947265625, -47.17402005217214], [0.845947265625, -47.17402005217214], [1.40625, -46.79598928849677], [1.40625, -46.79598928849677], [1.93359375, -46.64700502964378], [1.93359375, -46.64700502964378], [2.74658203125, -46.593660932765474], [2.74658203125, -46.593660932765474], [3.27392578125, -46.473868583930575], [3.27392578125, -46.473868583930575], [3.658447265625, -46.366870906087115], [3.658447265625, -46.366870906087115], [4.37255859375, -46.29172746518476], [4.37255859375, -46.29172746518476], [4.76806640625, -46.19200292246036], [4.76806640625, -46.19200292246036], [5.306396484375, -46.25341399046515], [5.306396484375, -46.25341399046515], [6.009521484375, -46.22329774571601], [6.009521484375, -46.22329774571601], [7.196044921875, -46.29987205136669], [7.196044921875, -46.29987205136669], [7.965087890625, -46.307404266664506], [7.965087890625, -46.307404266664506], [8.41552734375, -46.35324777989473], [8.41552734375, -46.35324777989473], [8.536376953125, -46.64183033889218], [8.536376953125, -46.64183033889218], [8.514404296875, -46.97218424349133], [8.514404296875, -46.97218424349133], [8.701171875, -47.50160137378962], [8.701171875, -47.50160137378962], [8.9208984375, -47.641482325038794], [8.9208984375, -47.641482325038794], [9.437255859375, -47.809800304211166], [9.437255859375, -47.809800304211166], [9.788818359375, -47.809800304211166], [9.788818359375, -47.809800304211166], [10.096435546875, -47.884313420660106], [10.096435546875, -47.884313420660106], [10.931396484375, -47.97169212807111], [10.931396484375, -47.97169212807111], [11.392822265625, -48.031151459942706], [11.392822265625, -48.031151459942706], [11.66748046875, -47.9291803556701], [11.66748046875, -47.9291803556701], [12.06298828125, -47.96627422845168]], \"type\": \"LineString\"}"
]
},
"execution_count": 110,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from geojson import LineString as gj_LineString\n",
"\n",
"gj_LineString(list(LineString(sorted_pts).coords))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"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": "3.6.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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