From d430fe058e35c613b6e50349af78c2aa730ba50d Mon Sep 17 00:00:00 2001 From: Yael Balbastre Date: Wed, 22 Jun 2022 17:09:38 -0400 Subject: [PATCH] DOC: interpolation notebook --- README.md | 2 + examples/interpolate.ipynb | 231 +++++++++++++++++++++++++++++++++++++ 2 files changed, 233 insertions(+) create mode 100644 examples/interpolate.ipynb diff --git a/README.md b/README.md index c02ae25..04cd1fe 100644 --- a/README.md +++ b/README.md @@ -77,6 +77,8 @@ plt.title('5th order') plt.show() ``` +**See also our [example notebooks](examples/)** + ## Quick doc diff --git a/examples/interpolate.ipynb b/examples/interpolate.ipynb new file mode 100644 index 0000000..e66ee8c --- /dev/null +++ b/examples/interpolate.ipynb @@ -0,0 +1,231 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true, + "pycharm": { + "name": "#%%\n" + } + }, + "outputs": [], + "source": [ + "import torch\n", + "import interpol\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "source": [ + "Generate the picture of a circle\n", + "--------------------------------" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 2, + "outputs": [ + { + "data": { + "text/plain": "
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\n" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "shape = [128, 128]\n", + "img = torch.stack(torch.meshgrid(*[torch.arange(s).float() for s in shape]), -1)\n", + "img -= (torch.as_tensor(shape).float() - 1) / 2\n", + "img = img.square().sum(-1).sqrt()\n", + "img = (img < 48).float()\n", + "\n", + "plt.imshow(img, cmap='autumn')\n", + "plt.axis('off')\n", + "plt.title('Image')\n", + "plt.show()" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "Generate a random sampling grid\n", + "-------------------------------\n", + "We use Cubic splines with randomly sampled coefficients to generate a\n", + "smooth random displacement field.\n", + "\n", + "We then add the _identity grid_ (_i.e._, the coordinate at each voxel)\n", + "to generate a sampling field (scipy's `points`)" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 3, + "outputs": [ + { + "data": { + "text/plain": "
", + "image/png": 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\n" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cshape = [12, 12] # number of control points\n", + "scale = 2 # standard deviation of random displacement size\n", + "disp = torch.randn([*cshape, 2]) * scale\n", + "\n", + "# interpol.resize expects the number of channels to be first, so we move\n", + "# it around\n", + "disp = disp.movedim(-1, 0)\n", + "disp = interpol.resize(disp, shape=shape, interpolation=3)\n", + "disp = disp.movedim(0, -1)\n", + "\n", + "# convert the *displacement* field into a *sampling* field\n", + "identity = torch.stack(torch.meshgrid(*[torch.arange(s).float() for s in shape]), -1)\n", + "grid = identity + disp\n", + "\n", + "# display the displacement field\n", + "skip = 16\n", + "for i in range(0, 128, skip):\n", + " plt.plot(grid[i, :, 1], grid[i, :, 0], color='k')\n", + "plt.plot(grid[-1, :, 1], grid[-1, :, 0], color='k')\n", + "for j in range(0, 128, skip):\n", + " plt.plot(grid[:, j, 1], grid[:, j, 0], color='k')\n", + "plt.plot(grid[:, -1, 1], grid[:, -1, 0], color='k')\n", + "plt.axis('off')\n", + "plt.title('Sampling grid')\n", + "plt.show()" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + }, + { + "cell_type": "markdown", + "source": [ + "Interpolate the image using the sampling grid\n", + "---------------------------------------------\n", + "By default, grid_pull and grid_grad do not apply a prefilter,\n", + "so `img` actually contains the spline coefficients.\n", + "To actually interpolate `img`, use `prefilter=True`.\n", + "\n", + "Another thing to keep in mind is that the sampled image normals (returned\n", + "by `grid_grad`) are with respect to the original lattice. That is, if the\n", + "sampling grid contains a 90 degree rotation, the plotted normals will\n", + "be parallel to the edges of the warped image, instead of perpendicular.\n", + "To get normals with respect to the output lattice, the sampled normals\n", + "should be matrix-multiplied with the Jacobian field of the transform.\n", + "In other words, `grid_grad` returns (∇f)∘φ(x), not ∇(f∘φ)(x)." + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%% md\n" + } + } + }, + { + "cell_type": "code", + "execution_count": 4, + "outputs": [ + { + "data": { + "text/plain": "
", + "image/png": 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xYgWVKlVi7Nix1K9fn/r16/PBBx8EzFPWMH36dLZv386qVat4+OGH2bNnj9fk/mJj5HK5Lnoi4Ur62IMzZ84gIlSuXLkAf7ds2eLFXSj8eSgKfLkLKn89dU1NTUVEAvZL/rp4EIi/gd7PF+MuwD/+8Q9eeOEF7rjjDhYuXMjWrVvZvn07rVq1umi/zpkzhxEjRvD5559z/fXXEx8fz/Dhw4tsKxQIJXbKwIMePXrw3nvvsWbNGtasWeO1Cva8XNetW6cZc3lexrNnz8ZsNrNo0SKvH8oFCxb4Lacwi09/neSJ85AnMTGRli1b8tprr/m9h4coCQkJbNu2rUhllBZmzJhB9+7dGT9+vFd8foM4KHrdExMTAXj++efp37+/3zIbN258JVUuM9D5eXnw1OvUqVPUqFHDS3by5EmNQx6UhEX2qlWrOHnyJGvWrNFWrECRj8517dqVrl274nQ6+emnn/joo4944oknqFy5Mvfee2+x17e40bRpU82QsEePHjidTj7//HPmzp3LwIEDvcbIFydPnsRgMBAXF1doGVfax6ByV1EU1q9fr00s88MT56lvoOehTp06RS6zMMTFxWEwGAL2i6fO+VES/J0xYwbDhw/nf//7n1d8cnIysbGxheZNTEzk/fff5/333+fo0aN8//33PPfcc5w9e7aA8eKloMQ1BDfccANGo5G5c+fy+++/ezmXiImJoXXr1kybNo3Dhw97qWM9DjeMRqMWl5uby5dffnnJdVi5cqWX5a3T6WTOnDnUr19fe5n17duX3bt3U79+fdq2bVvg8rxwe/ToQWZmJt9//71XGbNmzbrkehUXFEUp8KDt2rXLy5IY1BVvZmZmAatdX4v2xo0b07BhQ3bu3Om3L9q2beulkivP0Pl5efCo/2fMmOEVv337dvbs2UPPnj2LtTx/8Lykfbk/ceLES7qP0WikQ4cOmpX8jh07iqeCpYy33nqLuLg4/vvf/+JyuWjcuDHVq1dn1qxZXidfsrOzmTdvnnbyAApqgDy4lD4OdI++ffsiIpw4ccIvd1u0aAGoWyChoaHMnDnTK/+mTZsKbJFeCSIiIujQoQPz58/3qqvL5WLGjBnUqFEj4PZeccLfe3vx4sWcOHHiku5Tq1YtHn30UW6++eYr5m6Jawg8x7EWLFiAwWDQ9mc96NatG++//z7gvT9722238d577zF48GBGjRpFSkoK77zzjt8Z5sWQmJjIjTfeyAsvvEBERASffvope/fu9foh/L//+z+WL19Op06deOyxx2jcuDF5eXkcPnyYH374gQkTJlCjRg2GDx/OuHHjGD58OK+99hoNGzbkhx9+8OvVrrTQt29fXnnlFV588UW6devGvn37+L//+z/q1q3rdSRtxIgRjBs3jqFDh/Lqq6/SoEEDlixZotU9/z7jxIkT6dOnD7fccgsjR46kevXqnD9/nj179rBjxw6++eabUm9nSUDn5+WhcePGjBo1io8++giDwUCfPn04fPgwL7zwAjVr1uTJJ58s1vL8oVOnTsTFxTF69GhefPFFzGYzM2fOZOfOnRfNO2HCBFatWsVtt91GrVq1yMvLY/LkyQDcdNNNJV31EkFcXBzPP/88zzzzDLNmzWLo0KG89dZbDBkyhL59+/Lwww9jtVp5++23SUtL0441A9qP8gcffMCIESMwm800btz4kvrYc48333yTPn36YDQaadmyJZ07d2bUqFHcd999/PTTT9xwww1ERERw6tQpNmzYQIsWLRgzZgxxcXE89dRTvPrqqzz44IPcddddHDt2jJdeeumKt2R98frrr3PzzTfTo0cPnnrqKSwWC59++im7d+/mq6++KhUfA3379mXq1Kk0adKEli1b8vPPP/P2228X0Lj5Ij09nR49ejB48GCaNGlCVFQU27dvZ+nSpQE1ukVGsZsp+sEzzzwjgLRt27aAbMGCBQKIxWKR7OxsL9nkyZOlcePGEhISIvXq1ZPXX39dvvjiiwLWsLVr15bbbrvNb9mAjB07Vj799FOpX7++mM1madKkicycObNA2nPnzsljjz0mdevWFbPZLPHx8XLdddfJv//9b8nKytLSHT9+XAYMGCCRkZESFRUlAwYMkE2bNl3RKYOIiIgCabt16ybXXHNNgXjf9lqtVnnqqaekevXqEhoaKm3atJEFCxbIiBEjpHbt2l55jx49Kv379/eq+w8//ODXMn3nzp1y9913S6VKlcRsNkuVKlXkxhtvlAkTJhTaxvIGnZ8XEOhImz/eOp1OefPNN6VRo0ZiNpslMTFRhg4dKseOHfPKG4jHHuvpt99+229Z+Y9dBqrbpk2b5Prrr5fw8HBJSkqSBx98UHbs2FGgrb6nDDZv3ix33nmn1K5dW0JCQiQhIUG6desm33//faH9UxYQaIxERHJzc6VWrVrSsGFDcTgcIqJyuEOHDhIaGioRERHSs2dP2bhxY4G8zz//vFSrVk0MBoPXWBe1j61Wqzz44IOSlJQkiqIUeA4mT54sHTp0kIiICAkLC5P69evL8OHDvaz0XS6XvP7661KzZk2xWCzSsmVLWbhwoXTr1q3IpwzGjh1bIL527doyYsQIr7j169fLjTfeqNWnY8eOsnDhQq80hfV1Ud/PgeqWmpoqDzzwgFSqVEnCw8OlS5cusn79+gJt9T1lkJeXJ6NHj5aWLVtKdHS0hIWFSePGjeXFF18s8I66VCjuilZYKIrC2LFj+fjjj4NdlTKL//3vf/znP//h6NGjF52d6ihe6PzUoUNHWUGJbxnoKFvw/PA0adIEu93OqlWr+PDDDxk6dKg+GdChQ4eOqxj6hOAqQ3h4OOPGjePw4cNYrVZq1arFs88+y3/+859gV02HDh06dAQRFX7LQIcOHTp06NBxcZT4sUMdOnTo0KFDR9mHPiHQoUOHDh06dOgTAh06dOjQoUOHPiHQoUOHDh06dHApEwJF0S/9uvIrCEhWEkFRSFXicCpGUBQtzjfMU0LJUiL9ylKUBK0dgfJnKxHkKaGFpnEpBlKVOL+ydCUGu2IuNL9dMZOhRPuVnVficSmGQvPnKmFkKxGFpsnfXl9ZlhKJVQkpNL9TMZKmxPqVpSmxOBRTofmtSgiZSlTAcZCLjEOOEk6uElZoGnH3lz9ZhhKNTbF490kQuXu19rlv6FBMpCsxfmX68x34+S4qin7KIEgPhI4KhmAcatG5q6M4oHNXR3lFEbmrbxnoqPDIIgKAHMJwoXjF+YZ2TFixFJqmMJkVC3a3e49AaQTIJtyvLJdQnO7HMlB+JwZyCfUryyYcz6NfWBttmK+ojQ6MhaZxoZBDmF9ZUcbBgZE8Qi67jTbMF21jYeOQR0iBNgYDV3ufXwr39ec78PNdVOiOiXRUeJixA2DCgcH9OHnifEMjTpSLpLnS/EohMrWOrovkF0w4AqbxrCkD5ffc/0raeCV1NOG4aB8ZcF0k/8XreLF2FDYO/toYDFztfX6pddSfb//Pd1GhbxnoKF3oalcd5RU6d3WUV+hbBjp0qEgmAYBUYjV1nSfON8wjRFOz+cpSiC9wT98wm3BN7RoojQuFVGL9ytKJ1lSSgfLbMZFBlF/ZeeI0tWmg/LmEairNQGnyt9dXlkWEpnYNlN+JgTRi/MrSiNFUw4HyW7GQSaRfWQrxmto0UP4cwjS1a6A04u4vf7IMojS1a/4+KW1c7X3uGzowkk60X5n+fAd+vosKXUOgo3Shr7J0lFfo3NVRXqFrCHToUFESK4hAq+crXUFkEFUqKwiP8dnltLE0Vqs2zAFXq+eJK/HVaiaRV52GoCz2ebA0BBXt+S4qdA2BjtKFvsrSUV6hc1dHeYWuIdChQ4W+x3jxPUbfMH97g6EhKIv72cHA1d7nwdIQVLTnu6jQNQQ6Shf6KktHeYXOXR3lFbqGQIcOFZ5VgzMf3X3jPKGANgMPlKYwmUs7pXz5+S+WJn+6yylD3Few2lga41AcbfRNEwxc7X1eEty/Gp/vokKfEOio8Mh0q99yCNceNE+cb2jHjNWtEgyUpjCZlRBsbtVuoDQuFLLdaktfWQ7hmmo3cB1N5LqNhnxl2URctI02LEVqY5ZbfewryyMUu1u1Gyi/EwM5brWlvzZ6XlSB8jswkedWP/vKsojUXniFjcPF2iju/vInyyVMU+3m75PSxtXe5wXraCy0jfrz7f/5Lir0LQMdpQtd7aqjvELnro7yCn3LQIcOFbrRkW5U6C/UjQrLfp/rRoW6UaGOigx9laWjvELnro7yCl1DcJmIAiyoX6gw5vtbR7nFVbOCiIJD5jpkEkm2IZyNpk6g6BoCXUNQDvo8Cv4y1yObcFwGhb3mxn65q2sIdA1BycLzw38NYAXaA3bgT+AMF74HecIdr+PKoK+yig9+uLsvpRF1Th7GcNbFuJwneSbmbZ27xQWdu8UHP9w9cL4+9U/+hXIWDkpd6pkP6dwtLugagovAANQAbgMeBP4GvAXcAowCxgA3A3XdYW1wT9CLDwq69qEU4Fk1ZRKpza49cb6hDbO2yvGVeVYm+f/2TZNLqLaSC1SGC0VbifnKsvNZIQfKLwpkVYuA28B6nwX+BtbXLHAL1H38EOYxdsy9HIxp/incDHk1Q8ByIb8Vi7bKCVhGIW3MIUxdPSuB8zsxBGxjFhHaSi5Qfjsmzf2qv3HwvN4C5c8j5KLjIKCtxPyNg2cl54kLBgr0OeW8zxVIrprgxd28V0PgFqjx9+Pae7d6gxNwM2TXDPfirgOjtsL3vfclPd9+uFtWnm8HRm2F7yvLIOqibfT3fBcVV+eEIBboBgwDhgOjgf5AZ/fVErgR6Ad0B5q601cFQij6j7iCqmEIy5cvBEgCmgPXue9dCWgM1HLLw1AnH1fn6BQ7IskCIJwcPN9L98T5hmbshGD1K4sgW7un52/fNOor0VZoGQaEcHL8ykLJw4QzcP5YSOmUwPTmw2E4zK/XH/rDvOQB0Bk2ZHfhbKtK0A/mJw6ApjC/Vn+oCpGWLFDAgu2idVQUiDBmQ9iFfJGWLEiC0GvyMF9nh6YQmZQFjSGyZhaEQGRoFljAaHAFbGMYuRjd32wPVL4JB6HkBRwHzyMYKH+R2ggXGQeHV1wwkL8+nm/bB2qPkTLe57GQ3jmG5yu9DsNhbp2B0B/mnL4HOsOMPUNxdTcgt8O8xAEsN9zEb9e08OKuCSdh5PotQ3u+FYg0ZvnlrvkaOyHXWf1yNyI0W3vvBu35Bow4A45DUd5h/sahqDBdPEkFghn1h7cV6g98W9Qf+UqoaikLEI36QxzpTh8NnEb9ET8LOIDzqGoul58yFHd+MxCBOvmIAlLdsgbuOtRzl5cB5LjrcNp97zAgGTiFum1x1v2/v/J0XBSeB9CYrwM9cb6hqrSRQtMUJjNo66jC83vq4isLWEczmBo7oRUkdkvhwVafqxNIG9AE2A1Uh8hTWWRFRkLbMyhbBFeSok46o8DkcMJ5UKyguPy0UQGTwalx1xTrVPOlumUNnNAYDPVE464pxwmVwHRavbcpzKlx13jGBWfBlOwEV9kch0Ayf3UMBkqcV5RCn+fjbmy3dF6v/zyuJgoGm4u0KjHEVEvn59NtqN/8L4y1XGzf25aZxwfzdJN36Nhlq3ofN3exgtHlp42KOgm9GHeVeqBY5KLcNZ1x+uVuaY1DoPxFGQd/41hUXB1rUAX1h/0aYBDqFkFf1FV6FdRe8KzgTe7/LW7ZNaiThtaokwjPij7CncboTm9EJWMYkADUQdUA3Aj0QrVN6AfcDzyMqpm4BxgKPIa6TfEw8CzwPPAPVPXZCNTtjBvc9Y1x1/XqGLliQbk2OlIgOTIBroFfu7XiSN9aOHobGfb2l9gTTGRkRUEIZGZFgQlyraGcTUtCKoOrmsKG5C78mtcKusHSpFugEpwJq8QJczUwQrKSoIamBAiDL8LvZ3+1BmS3Cmdd06780aYpW+u3h36w9Lpb4GFYVqMX1jssMBSWNr+FrMERLGpwGzwLP7TrA/+Ag/3rsrdPY2x9zXxS/xFoDslRCRACaUoZN3BDNyoslj7Px92jfWqyrXM76AtPTX2H3cnXEBaRw/J1N3Ntmx28+8E/adx0L+m5UWzY15lrrttN7WaHWZ5zE7bOZr6MHQqVwB5uwmY2++XugZj6bKzUCa6D7+r1I7dHKItr3gr9YEvXDpwdmMSRHrX4o3VTGAo/NOsDo2Bxw1vhWVjRqSeOx4xkjoxkww2dyewTyVeN7/XibrZSsY0KK76GwATEoWoD7kb9ca5E0VpuQv1xvwbIA25C1SREAH+hrvrzUFfuBtTJQDzqyq0J0AJVE2ACzqFuRVQlsC1C7Xx/VwKuBZyoGoRUYBswCziGqj3IQNVU2IrQlqsYiaQAEEdagTjfMBQruLcMfGUJnL9o/gi3qrCwNAZEq4uvLIaMC/lNKRAHiW1T4G5odfNOpvxwH/fXnML/3vgXR4/WIjo6E4DoaDWf1RrKoUP1qF//IOmOWA6Z65LtiISb4Pz2eMiDyn+dRdyrrURXChggMSwF4iHalEFip2RszSwcPlGbI8baDLtjBrSE82vjkeYw8cWH6XXXj6BA6sY4Zs4bwn33TQELpGxIgGvht6MtuHHwKswGOwP3z4VDkDgrBY5B7Kl0jbuJNv99FIKNEDexL2ccwt1q5cLSKEA8qX5l0WQWyB8MeMqOzLddFag9RlzEku5X5okvLH+x9rkPd2v1OsaSBX24rtLPvPXOMyxefCvXX7+ZzZs7UavWMT744HGSkpKZNOkhatU5xsD+83hs7IfM+fBubh++iG8G3gW/gvkvh/be9eVug1p/Ub3+CWgDmQci+TT1EcY8Ph7aQdukn5g1dzAJCSmkpcXSrMsezrviySOE7IgIqAtnNlXG1M5JauU4qAl5tULZ+0ET6HKBuxGnci7K3SI/3wH60YwDs5t/vjIPXwvLH+bebsgfV1RU3HWmAoSi/siOBqYBI4FqXNo0yAQkAuGoP/J/Awaiahi6o6782wKdgD6oK/6HUbUQdwAdULcoenN5holG1C2HWu5y5wJLgHfd7WnnrpuOgCiXGoJQ2Fy5I45RRjaNvR7rIAspIQnEJqRx9mwiSUnnqF//IBkZ6kpiy5YOHDlSi9atf6F37yWIKOTaQjmdXZkfN9xEXp0QjlStBQPhbI8kTnesAu1hZ+OW0Al2tm8JQ6HxyL1Ejc5kf5P6LPurF0OfncF3tn5QGzJzo8jOjuCRRz7BZrNgt5vYsKETXbuuJyMjmv37G7BvXyO1HenRODGiRIOxthMGwu6XroElsPOxljiHG5hf7072hTby2w+6hgCvssuVhiAUtlTuAKNh2+PtyLs3hGRLAv3vms/8+XdiMjmIiMjh1Kkq/PVXfVJSEkhKSiYjI4rhw6cxYMB8TpypxqxvBjPh69FMnTWS3Y2aw0A4dkMNznVM9OLur+1bwVA4e08S5/6WhPwNXHUVNh7txI/0gtqQlhMLQN26f1Gv3l8AmEx2vvuuH82b/wZAZqbbEDAtFjFAYp1khv99GgyEH+7vg3ORgT//2ZDsIeH82rQV+0Mb+O2H8qwhQIoK9eBC+bgiEemOyLuI7EHEhogUw2VHxIlIGiJ/IbINkZWI/IjIekT2IZLiLs9VTGUWdjkQOYLIR4jUQMRYBvr+YlcwEOw2XyZ3X370BVm9vJtkZ4fJa689L0eO1BSr1SzTpw/VODBr1r0igixZcos4HAYvfmRnh8muXc2lf/+vZd3qzvLI6I/FlYr8vrSp/DKjlchKZNbz94qsR2a+M0gkBZk7u78cOVxDevX6Qb755k4RQTZv7iAiyMyZg7zuv2DB7dKx40Zxubm+Y0dr2bq1nYggX345xCutCJKTEyoiyJQpI0QcyIF19cT1oc7dQhHsNl8md1dP6yab1nWUnJxQ+eijsRpHZs++W1JS4mTGjMFy7lyC5OVZCvDEc+Xmhsj27dfJT1vayLo1XUTSkOnvDBXHZoPISmTmc4NE1iPLvrhZTv1RWVxWZPIXI0UEOX68qtx//2eyfn0n7X6nTlWWxYv7aHXJyIiUxx4bp8k9/F67tqscO1bdqy47drQWEWT69KHitCFjhn4i515PqHDcrVgaAgWoDzwFvIOqGWgM7on+lcNjXxCDehyxDdAVVVPQEWiIumVgpnSOExpRj06OBOajtrkSFVnvc1koDxqCdKKhPuQ+HsqZ5yvBaBjzwqfUrn+EnJxwevdeyuLFt2Kx2HE4jJw7l0BubigHD9YFoG3bnzAaXZw/H4fLpZIvJyecFi12c8stS3nplZfY+VsLzlorkZcYQm7tUOgKaVVjoCNkRkRBPGTkRHEuOYn33vsnFotq1d6gwQEAMjPVVUtWVgRWq4Vmzf7ghRf+D0WB5OQEWrXaSb16BwH1LZSWFqO2MdndN9kRZGZGoiguHGKkdocjZN8VAfPh1AtVoJJ7XxhdQ+BBedAQnCUJ6oPtCTNn/5UEo6HxTXt5891nyciIom/fRdx771cA9O8/j+nTh6Eo6t1CQmwaPzIyorDZ3H2enEBoqJX09Bg2betE02v2QAzYY01kNYqErpBRPQo6QpOee9jwexfSsmMJj8ghMzOSkBAbzz//BiEhVu1+Vaqc4dixGmRnq8/3nj2NWbOmu1b+ihU9ycyMJC0tFqfToOUDqFnzmNpH1hDy7KG8/9njyD0KzIeTL1T14q6uIQj2pSASjkgvROagrprz/M86K+Tlcrf3DCIvIVINEUMZGJcrmKkWK4Ld5iJw13aTSWQO4jqMjP/oYTl9ulLA8T5/PlY++ODvYrOZ5LHH3g/MC/flcBjk448fkXfffVJEkN9/byq//NJKRJAPPnhUJN/qaO7c/mK1mmX16m5emoj8aYpSnkdz4Xt9/fVAycyMEBHUlZoL+XN3A1k5t4fOXX8IdpuLwN20HtHi/EoR12Hkw/ceFbvdKOLWUHnGevPmDpKaGiMiyNq1XWTUqPF++eF7TZgwSo4fryYiyMqVPWTp0l4ibm3THXfM09JNnz5UXC41fvLkkQHvt359Z9m7t5GIIL/+2lLeeOMZTfb11wNFRNW6ufxoeM+cSZIlS24REcRmM4nTocj+3+vLsjk3Vxjulu+1pBH1OODtwMvAc0APVDuBkCDWq7Th8W+QiHqSoQPkW8xe9fCs9Oz5jEc8cb6hC0VbSQVKU5jMiUGbwRea32CGJJC+wMtget4BPcBRycSoRyYyf35/jh+vpqZ1r5o8YVRUBrt2tcBsdvCvf73mN03+v51OI4888ilms42cnDCcToO2AoqLSwXA4VDbbLerfVS16imqVz/udR+73YSImtajhfAt12Yzs2VLR+Lizmv3yi/Lzo4gJMSKiOrrwGY3s2rDjXTqsxH6gau9AvHFMw4ebdDl5Hdg1FbEtmJTMV468tfnYrwSLnDcV2bHVKA9l819H+5G/ycDQ0/BVcXAkBEz+PLLYdhsZsLDc7FYVCPFNm12EBurGjZ27LiVo0drYbV6c8fhUHXv+eNGjpxC9eonsdnM7NjRhtatf8FuNxEWlsezz76ppd24sTNHj9YkNDSPxYtvIzMzwus+nrBDhy289dbTADRuvJdnn31Lk/Xr953WRru9IK/XrbuBzp034HIpmM0O7A4Ty9feTPd+a6AfONoZtfduoP4ryjgIFDv3i4ryOyGwADVRjfXuB+5FNexL5Go4O+EfBtRtix5ccHKkQ/s2uA2L9lL1xPmGTow43Q+jr8yWzyI0UH4HpoD5PaGYwV7DDL1hZv0h5PwtjPG7x7A3uTEOTIgYGD16At98cxfnziVitbrzWz0DqvDmm88iAuHhuV4yu92svVTz51MU2L+/IQ6HCafTiNOpvnxtNouW70J+hUaN/qRt25+87rNs2S2kp8do9/AtwxPu29eYGjWOa/f0yPbvb0DNmse0MgA2buxE+/bbsDstHAmpxczIIVALXBYDDveD7G8cPC/VyxlHbRzyjamvzI65QP5g4JJ4hYLd/QPgrz1yEe67KEKfW8BaIwR6w+yG95LdL5z1rq4cyqyDUzESGZlN69a/smJFTzW/Dz88nHv77ad59dX/eMnsdnMBXtlsF/I/+ujHJCamaLy65po/NNk///kuJpMDEYXPPnuIjIxov+WDQvPmuxEBu93iU77FXUfFL69zc8OwWOxaHZcs6UOvXj+SkxfGN7sHsjDxdqgFYiHgODgw4XL/7BbG3cLHkYvm9x3HIqNcqq5MiNRBZAQiSxHJvrjq6aq5XKjGjoMQqYSq1gv2eF2G6qpYEew2F8Ld3JQQmTTpQdm1q7mmjvRcTqcin346Wn76qU3Rxv4i17lzCSJyYcvg3LkEuf/+z0XkwnbAiy++KD//fK3f/B5V68Uuj5rY93rooYmSnh6l/e9yqSphEeTPPxvI9GlDxbVV564Xgt3mi3B38uSRkpERKXffPdtrrGfPvltT9fu7XC7knXf+IU6nEjBNSV0uF363BDyXv60xu93oFZ+TEypTpoyQdeu6yGefPSDJ5+IrxHu3/GkIFFTfAN2BwajOgvRjdxfgMaxsjWpweLVqS/KhTBkVJoB0g/m17oRukOWK5Nprf+HEiWrcfPNy0tOjNVX7+fPxDBw4l+nTVRWsx8DJbjdpxw09cZ4wv1Ghr8yDn39uw88/tyExMYWHHpoEwMyZg3E4jPTuvZTWrX9V25sS75U/IUE90+wxKvRXRnJyApGR2TidhgJGhe3abSM6OpO0tBgcDiNLl/ambdvt/P57M9as6cbQYTP4bt/foDVsju1IrtG/UaBuVFj6RoXniUPige7wdfW7kBtU7tapc5jffmvOs8++SU5OGLm5ap/feONK5s/vz+nTldT7uDkgonJUUWDEiGkoigQ0KvQXOhxG0tOj/cpSUwsaA/qGeXkhZGdHaIaw+WUevvvLt2xZLzp23EJ2djh5eSF89NGjnDxZhfj483TuvIE/9jRj/h93QmtYHdOdLKP/d4huVFjcVxgi9yDyAyI5pTuzLDeXHfUo5BBE4svAmF3GTLVYEew2++HuHzuayLff/k0bs88/v1+ys8MCjmlhK5pLvc6eTZRTpyp7xe3a1bzY7l+UKzMzQu64Y76sWtVN5s+/Q+x2o4wb97gcO1Rd525+BLvNfrh76mBlmTBhlMbJTz8d7ZefaWnRMnnySO24aXm5/BnETps2TESQ06cryZAh0+V//3tOXC716OLjj4+Tdeu6VIj3bvnSECio3vsGodoLhAW3OmUWRqARquvkBhT/VxrLGUpCQ+D5u8gaAgVOXVOF070r4+qoUKXOaapUOc133/UD4JZbljJz5hDOn4/VNAT5Vyn5VzSXqyHwhJGRWZpnQ09c1aqn1HblWyX5agg84cU0BIBfDYEnTEuLITU1lhEjpvLdd3/jzjsXMG9ef2Ji0omKzYRG8Hv1ZuTVU7/S6He16q5jSWkIMom86jQENsz+NQQKZLSI4tcOraATmKIc3H77QsaNewIR6Nx5A4sW9fXSECQnJxATk4HNZmb69OEFNASeNPnDzMzIUtEQZGVF+JWlpMTjcBhZterGAtz3OC3av78+9esf4Lnn3iAlJYGoqCz+859X6dp1A2mZMdAI1sR0I7tuuF/uZhBVKhoCz1crK7aGIB6RTxA5Ruk4/inPVyYiqxF5AnXfz1QGxu8S6FasCHab3dx1fYx89MpYyc66oAlYurSX5vTkyy+HyOef31+08a0AV/6Vo+eomgiy9+dGMue/d+ncFQl+m93clU+QVXO6y6yZF47kHT1aQ7744j5xuZAZMwZLWlq033E+caKq3/iyek2dOtzr/+PHq8mPP94kIsibbz6tHX30vXbvbiYTPhgle6c1KrfcvYSUQW6QgkgfRHZxdfkYuNzLhshhRL5BNQKqg4glyGN4CcQsTqQQJwKSRrQ4MIiAFucb5mGRLMJFQJKJ95sm/9+eNJ4wmzDJJcQrLodQkT5I1pZwyUoJk3HjHpPk5DgRQVJS4mT27Ltl8+b2IoLs2NFKbDaTJvMX2mwmyciI9IpLTo4XESQ1NUYz1PKVecLc3BBte8I3jed/EdXfgb/ys7LCNQ9zvjLPfRwOg/YD4Vt+enqUNgHwle3Y0Uq+nDJEMn+PEPtso7iGI6k1Y0QsF/r8PLHi8hkH3zCHULXf/YyV53+X+17+xjGTCLFi9ooLBjx1zSJc8rD4baunfg4Mkka03/akEyV2jH5lntCKWTKJ8IpLI1qkD5K7PUQykyPk5MnK8vrrz8i5cwmSkhInhw7Vlo8/HiM2m0k++WS0pKZG++WD53+X6wKvfMc+MzNCrFazX5knv91u1AxTfbmXlhateesM9Ozk5VkkKyvc773z1zF//f/5z7flp59UQ9uff24tubkhXvm///42GT/+YVm48FYRG5KxO1LyZllERlzgrqc/M4gUG6ZCuWvDJBlE+h3jVGLEiVLoOyiXEMkmzPudVURcQsog/5BEIjIRkfPo2oGiXC5ULcEeRGYhMhqRtogkIqKe+grOOAYBnh8PV756+Ma5/NS1sDSXkj8nIlRkInJmX5L067dAUlJiZeLEB0XkgsXzHXfMkxMnqnrtxXr+9g0LkxU1f2mUcan5jx2rLp9/fp/k5Vpk3BuPS8b2CPlwxKNyZkSSSFvElaBytzTG0V+aYOBSuXcp7SmKLCciVJzjFbGeNsv/vfwf+fDDR8XhUOTLL4fI+vWdxOEwyIEDdeXjjx+R99//u3zzzYBi50Wwub9ixY0B8+fmhsjkySPk+PFq4nIha1bfIJM+fFBsu0wydfRwOTi4zmVx90rH8XK5q4iIFGlvQSkNX7wBYEC1mp+K+oGh4PkJKV9woH4p8QywD9gN7EH9UuMJ1K+GZbvTlRaKSLdiRRni7v7DDUhMTOb06SqMHz+GDz98HFD33JOTE6lc+Wzw6hpEbNjQmW3b2vP44+/zySeP0r3ratat7MaDvT8n9LBV524wYABpBco0oAmICX77rQXNmv2ByeRk2bJezJw5hKlTR7JoUV/On4+ne/c11KlzJHh1DiJWrOjJhg1d+M9zr/Lc02/wyB2fUi/3ULnibvkwKrSgHi+sjX6M7lJgAiJRHTh1QP1C4xDU45p3uOOqgtvWqMIiqEaFFtjaqD0bTnYmOS2Bhg0PEBOTTpUqp+nbdxH799dX65YaR+XKZ8nIiPJrVJg/vFKjwtzcUHJywvzKSsuo0OMZ0RO3bVs77rxzPk899Q5t2/7Ea2/8m4f/PoGfz17H7zHNONCyPosb3Ir9HhOT6j+EtAeqQrJBNyosMaNCC/zZshFT1o/ku8W343IptGz5G2lpsQBcd93PfPzxoxw7VoN+/RYycOA3VK58Rs0fgBciZduo0INA3PccO/Qna9XqV1566WV27LqWzt03UKvDURam9YW+8G2dO2AwLG51K/Z2pkK5G0yjwrKvITCi/mjNQP2QUPmYwpQ9COBEnZVaUWepW4HFwFrgHOT7nHkJ1uMqWmXl4+4GpTOp6XHcfvui4NSlHGDp0lswmRx06bKB0FAr69d3ITU1joYN9vPrjtbcdcc3fPLxWB64/Qsid2fr3C1J+Lx3Dx+tzdq13TAanfTuvZTExJTg1Ksc4f33H6dF899oe+1PrPjxJgbcOp/pnw9jeI0vyyx3y/7PaxjqROA6ykNtyy4UVI1BKOrXGusANwKjgMdQv9ZYQbdiguaYKDQBusJWV3tCwqzExqYyffownE6F1NRYNY3PKiO/Y6KS1BBkZ4cXmgZKV0OQnJxA797LaN36V0JDrRw8WIdJkx6iZs2jbN7SkT59l/D2R09x3yNTsFW1ID1ge9e2JD+QwKlrq7DDdK3XOOiOiS5dQ+DlmMjN3b2RjfluYT9SUuIZPnw6d9/9NcuW3cLUqSNYtOhW0tJitDH0PXboLyxMQ1BajomKoiEIlL8wDYEndLnU57tTp020bLWTZStvoW2n7aRJDKaqduxdTaQPjmbPPU3Y37IBC419vcZBd0wU6DIh0giR5QUNOvSrmC4HIhmIbEakHiVvbBgMBJm7584lyL///Yrk5ITKsWPV5eOPH5GjR2tc+lhdRVd2dphs29ZWvvvudnG5kGHDpsmffzbQ5Fu3tpPF3/fRuVsK790DB+rJ00+/qbm+9lx//NFEBg+eIX/80STgOOoXMmXKCBFRv6boOeEwY/pgyTtnEedGpUxxt2yvuY1ALKpRlo6SgRGIQDXWfAj141BlmxWXjKDYEBhhtaE7h+LqkJcXwquvvkB2dgQ1apyge/fVvPHGs7hcit9V0tVoQ+AbfvHF/ezc2ZJ+/RZy+nRlJkwYrX2Z8ccfbyI5OYFbb19Ccm4CrkYKB+6sD4lo36TXbQguXUOg2RAYYZ2hK0uSe/PTT22oU+cwjzzyqea62jNGSUnnmDlzKElJ54Ar1xCUdxsCXw0BwI4dralZ8xjJyQnMnn0vDoeRnJxQnGIk0xWF0lQKcFd3TOTvUhCpjchziOQGf5ZX4S8HIgdQjyaWpL+CYCBI3LU9bZL1KzrLww+PlylTRhQ41lSc7ogr0pWXZ5H58+/QzpTnvzZt6uj1ESi73SgffTBWkrfH69wt5vdu8vF42bjxepkxY7AMGzZN9u1rGHDM9Mv/9dBDEzXHTMuX9xQRZMGCfpq2ZfrUoXJkXc0yw91LSFlKhPRclVC/HLUNEWfwB/aquDIRuQ+RWEpOhRUEeJx05BKincv1xPmGdoyaQ5pAaQqTWTGLPckoMgixbTKJONGcAHlCl+uClz5fWV6eRXMs5CvzhA6HQXMM5CvLyQnVJhqB8tvtRs35UaA0hcmsVrP2Yx0ojeeMtj9Zbm5IkdrocVLjifvqq7tl2bKbtb6zWs3y1lv/lP3768nB3+qI3Iecjq4koqjOXTwOYAobR4/zIl9ZHhbNiZWWPgjIzyvf+viGLjfH/clyCdEc2gTK78Ag1iSzyCDEutHsxd38XiUDjZnNZioSrwrj/sV45XQqhfKqKNz35dWlct/jVKsw7nvauGNHK586WmTSpAdEBPnyy8GycmV3+W3rNeIaifwe1VREUcfB44TKd4xyCC3SO8yX+0VF2VQOK0At4HqgKRVOhV1mEQZ0AeKpUEcRFc3zfcE437AwWZHTuLk7/8/+7NvfCEVxy5R8+X3i8ssuluZi9/EYpl9JGcWRvzjL2Ly5I3v2NOXmm5cD6rbH+PFjGDlyCufOVcKqhHCgYX3mmO/RuFuUcdTKKMJYBwOXWteipCk0f03gelib3I1vv7sD/N37MsazOHlRUvcurjT5/27SZJ/X/5s3X0/nzhtZuLAvdeseJCUlkSx7JEtje7PCchMYLz5WSiGyAv1widwtm8cOE4DbgftRTxjoKB0IsAt4ENWZRl5JlBGEl2sQuTt16ggiI7MYOHBe6dWhAsLpNGA0ugA4erQm3357J6NHTyAkxKYm0Ll75fDh7pEjtVi48Hb6959PtWqnSq8eFRRZWRF89NHfadduO5GRWXTsuFUVlCHulr21txlogToRaBbkulxtUIDqQBQVygFUqRkVmsF+jYmpyghcTVSDwbvu+oajR2thtVr8Gh3pRoX+89tsZu0Lc8nJCRiNLpKTE8jKiuDRRz9i5MgpOBwm3nzzaWbOHMyEiQ8zc/NgVjl6gEk3Krxko0IzuJorTDcOQ5qqfV679lHuuutr/v3v15g//w7tNyXQmOlGhYU/3wcONGD79uv44ov7+fHHXkycOIpZswYx6bOHmLVlED/abwaT7pgoXxlAJWAMcA+q5buO0kU6cB+wBtV5UXGjoq6y8nE3uVcCs7YP5oEHviAiIqfky76KkJcXQkiIFUWB06crs2tXS3r0WI3Z7NC5e9lloHH37E1JfP3L3YwePQGTyaklyc0NJSysJJauVw9yckLZuLEL3bqtIScngtjY9AvCMsLdsqUhqI7aKf1QHefoKH2YUSdiUUApaitLEqXhmOhI5Vps7tURex8Tu9JbMmLEVD755BGOH69e5BUEXN2OifKHVqvFS0PgCUNDrZw/H48IVKlyhjZtdmA2O9Q0Ztgc2RGidMdEl6IhOFq5JscG1MDVV+Eve32GD5/Om28+Q05OWL7Vf3iJawgqmmMiX1l4eB7t229DUSA2Nl2TnTmTxPptXfjB1AeiguuYqGxoCBQgHBgI/BNoBG5nbzpKG07ga+AN1P0sVzHfv6KtsvJxd9ftLVh7tBt/HmxIUlIyL7zwCl988QBms50RI6aXXB10ADB96jC6pG2g3pRDOneLdG8gHGQATG84nOvv2MzxszXYtKkTTz/9NhMnPsywYV8SF5dWcnW4SpGbG8qqVTeSkpKAweDi+vabqf/zwaC/d4OvITAC1VANKh4G6oJ7IqwjGDCi/sAFnxnFhhLTEBhhX1Ij0odFc+7uBJrfvJs7B87n5puX8/jj75OcnMDQoTOwWi1kZ4frNgRXYEPg20bf1eqHH46lRq1jpDgSwAA5otsQ5A8LaAiMcLJyVeQBSBscy7DHvuSDTx8jMzOCFi1+48CB+owd+wmfffYgmzd39Nvnug1B0TUEP/3Uhn79vqNXr6Xcd98XPPfcG+zZ0wSTyUFOTjjbfm7P8j9vAgPY5Wq1ITADcajfKXgaaIvqNa8C/RiVS3wP/B/wK6rGoDhRUVZZbu6mt4xmTbfurDjWk/1HGvLtt3cSFmYt/vJ0aDh4sC6LF9+meS5cv74rTZv+QceOW2l2+A+i38nUuVsY3Nw90qwWi1r2pU6XQ+S4Ihh491wOH65D3bqHtaTp6dH873//4t//fo3o6Mzir8tVhMzMCNLSYklKSiY0tOA7Qr4D5RWCyt3gTQhMqIYsnVE/y9sH1W1uBdm3LtfYCrwAbASK2yYuCC9VURQU1BWhh16ev33DwmRaGhPkJYVwonV16t59EMNtIAmQmhbHrFmDGDp0JrGx6Yioj41vCAXjLiVNsPMHs44AO3Zci8NhpnHjfcyaNYg+fZZSp85hNc0WUP6LF3evaKzz/11BuJuZGElIZyuWfnaS2yfw2fwHqd/gIB06bKVWraPlkhcVgfuuzQqGFwU2guQUnZdFkZX9LQMTUAW4AbgF9QysPhkoG0hC/YZEBdm6SXWrhTOI1tRtnjjf0IqFXLe6zVeWRqx6QxOsjejGp3mP8MmJsfxxpimpaXHEx6fSqdMmnnhinJovNc5v6HIpZGRE+5VlZUVq6vRA+e12E1lZkX5l6ekx2pZBoPx5eSHk5YUWmgbQvnvvK8vJCddUu4HyO50GMjOj/MoyM6Mu2kabzUxOTngBmaJAvXqHaN9+G7Nn30ulSueoW/cwqalxnD5dmVmbB0Ms5JpDta9OBhprAdLdKnZfWTYR2N1nbz1xwYCn7BzCtS2MQO1xYiDTrWr2lWUSpW4ZmOBry928nPkiM7MGEV4jh4dHT+Kuu75hwYK/cfp0ZTWfz3ikpcVqvymBeRWqqdMDpRFROepPlp0doW2XBcrvcBgDcj8jI/qi3LdaLeTmhgVso9bvAfLn5oZp22XF8Xy7XAqLF9/K1KkjWLbnFogFu9lEtnvb0ncc04m56DssjxDy3Ntll8rd4GgIjKje8DoCjwC90LcJyhL+Ap4HlgNpxXzv8q529cPded/2p27dQ1x77S8oivqDazI5vI5t6Sh+uFwKBoPKp1OnqrBw4e08dONnKP9C564/+HA374YQZn99LyNHTgNg/foubNjQheeff6P4ytShQQS++eYuVq7sSa1aR9i5sxWtWu3kttsW07r1rjLx3g3Oz3AM0AroDjQIWi10BMIZIBmoIFvhxWpU6Obu94m3QwNIPp/AgAHzmTZtOD/8cKt2nM9kcl7ysSTQjx1e7Nihp142m4mzZyuxdWs7XnvtX4wZ8wnh4dmsWdIdkiEnTz92mD9MIwZHtBFaweoa3aEBZOVEUqPGcRYuvA2A9u23MWjQLDWfnz7Xjx1e2bFDRYFbblnGW289Rd++i/n73z/k9tsX8ccf1zBz5mCWfd8LksGed7UdO2wCjACGop4w0CcEZQtHUW0IlgDnivne5X2V5ebu4W61Wf1HD0beP1W7/YkT1ahe/WTxlaXDL+x2E598MpacnHB69lzJ7t3XMHDgPGJiMnTuFgY3d5fV6EW9dgdp2PgA58/H8eKLL/PRR48VXzk6igQRmD37XkJD87jjjgUoxwg6d0v/pzgE1V4gCXW1pU8Gyh7CUW0IQoNcj2JCcWkIzlqS2GZpB0mw62hLDhxsQO/eS8nMjCA5OYHq1U9e0QoCdA1BUTQEGRnRPP74B/zrX69Tr95fREVl8Y9/vMusWYNYvaM7xEKORdcQ5A/PWpLYGdoSksAVZuC11//F99/fRnx8Ks888yZwca2MriG4Mg0BeD/fKSkJ9O27iOzsCGbMGMqSTb1VG4KQq0lD0AEYAPRGnbGai+e2OooRh4B/Az8CKcV873K8yjp9bWW+rnk3j736ETSBjNwoTp+uzLp13XjggS9K9Ts0OryRnh6tagh07vrFuTaJfFPrLh75v/HQBNZt7soPP/Th3//+H1FRWcVSho4rRBngbumuzxXUz2tei+qAqAJ9QKdCIQlohzpWFUCD45ltZxOuza49cb6hHZNmne4lUyC2Thrtem5ny7kOrFrXnb17m3DiRHWqVDnF4MEzWLCgHxkZF5yreFbxvqHLpWirFF9ZTk6YtsoJlN/hMGorMV9ZVlaE9uwHym+zmbUVvq/Ms0LM/7dvmry8EG2VU1gbPVoIX1l2dnixtdFTR8/nZc+RCO3gr0r1EPdvaaCxFtC0Qb6yXEI1Rz6euGDAU3YeIdqph0DtcaFoK0N/3O3cewOnwqpwPiOWG25YT+PG+7BaQy67z33TWK2Wi3JfhIDcz80N1TRHgfI7nQbNqZY/Xnm0Y4Hy2+0mbYV/udwvqed7f3oDpC1sjW+PU3Gn8RnjLCK0DxoH4oENs6ZNulTulv6EIBbV0jUc/ZhhWYUZdWungkzYQt3fE7Vgw+B+nDxxvqERJ2bsBWUKGOOcVKl7mkq1zlK12ini489TqdJZGjXaT+vWv/L779cQGpqHyeRQ84Xm+Q0NBiEkxOpXZrHYMBhcheY3Gp2YzfaA+T2LykD51RMQ/uvoqVf+v/3lNxqdF22jxWK77DYaDK4itTF/HXNywvjl92txmg0cdNTTvhwfaKwVVE74k5mxY3R7hwktke/RFg2esk04CtTHNzQg/tujgCHWhTHOxZ7DTVm6rDezZg1CUYTbblvEvHl3MnDgN2zZ0uGS+zx/WBReKAoBeWE224vAq8J54Tl1cjnPTlG4bzbbS+T5PnWqCnv+aordZMZuMAfkrgWb9rMZiAcmHJhweMUVFaW7ZWAExgIPAdegTwjKKjKBccBXwD6gODWl5VXtehHuJicnEBJi1dWvQYDdrp44qF79pM5dfyiEuxs2dKZmzWPUqHEco7G4HejrKAwul8LUqSNJT4+hT58l1K/0F+aPHUHlbulqCMKAaFSHN/pkoOzCinoONpfiJWWQUCxGhWGQGRLJrGWDmPXVIO1b5p7w44/HMnHiwyQnx+tGhZT8sUPP++3s2US+/vpuxo17UjUqXNkd0iAnO4xc0Y0KPdy1hlv46sd7C3D36NFaLF3am7fffprx4x/m/PlYNZ9uVOg3LE6jwvPn4xkyZCYdO24mKyuSdWtugDSw55jIkIpuVKig+h4YDdwG1Liy2+koQaQA7wNzgf0Ur1/t8rjK0rlbfqBz1yc/ReLuyZNVCQ3NIz4+9crK03H5KAPcLT0NgRG4A+iJ+g0DHWUXCcBg4Gb33+UcV6oh2GzoyI7215LSJp4/UpqqslJYQegagqIfgTt3LoG1a2/guw23MzNqMLNqDULcC76rWUOwxdCBhU37ktE+in2pjVSZnz6vVu0UERHZ+rFDT7+X8vN9+HBtNv/Zga/j7mJmrcHY491pKqyGwAy8DQyDfF+R1VFWcRgYD8wEThTjfcvjKisfd1/99N+0abODW29dUhw101FM2L37GpYtu4W77/6aGo7jKBPQuQte3L3/qS94/fXnqVz5bHHUTEcxYffua/jss4cYOnQGLaN3ETLZFjTulq4NgRnddqC8IAzVcVRYsCty5bhiDYGrI7N+HcS5lASefvptQkPziv176flXSaWhIfAc3SpslRRMDYHNZg64Wj1/Pk57v3377R08//z/2LSpE9WqnWTJkj7MXnYvXx2+V+Pu5WgIMomsEBqC7a62vLXmaY6frMZ//vMKR4/WuuI+LykNQWZmZJnREJTm812lymk++OAJ6tQ5xJmsyiw+dSv20CvTEOS4yV92NQQW4APgHgjix8N0FBVZwNfAF8Bmis+4sByustLMMYS9m0vIUJvO3TIGp9PAkSO1qVfv0IVInbsaUszxyP8UEh9I0blbxnD4cG3effefdOiwVfOjUTPhGC32/0bc7LSgcLf0/RDoKB8IRTVAqk25/wyyx8GMJ/QX5wkFtBn4Bcc00ZzKqKqtagHtb9/Q5VK0Zy9QmsJknhVOYWlELqS7nDJcLkXTIlxuHYPdRhFV1bptWztCQqwcOVKTEyeqqWFKNU6EVtO4G2is/cV5QqfmscI7fWmjsPoUpT25hHHgXANstgtORco7r66kjiJcUR2L8/muUuUUzzzzFgMHfsOQIbO455453HDTeqIaZCK1uGzuulAKvMOKitKbEAgV4gjbVQMT6oSgEeV+ZeH5tnguYdqD4onzDe2Ysbo9FXri0iWGv87VJzPrgiez7OwIv6HVGoLdbi40jculaN9k95Xl5V3w1hYov9NpJC8v1K8sNzdMe2EFym+3m7HZLIWmAcjJCfcrs9ksOBymi9TRUGgdPS/GQPkdDhNWa4hfWU5OOFarhYMH6/HHH804cKABu3c3vxAebsABewONu4HGWoAct/GVr8xKCA63Zy5PXDDgKduGpUB9fEMnBvLc32/QZBLBkZTanE+Nv+I+vxivbDbLRbkvEphXVmvIFfPK82NfGPcDtTE/90vj+bZaQ6lZ8zhWaygisGZNN6bNHM7sXffiaGDyy91cwrSf0cLeYTb3Ku5SuVu6RoXvAUMo9z8wVw1SUf1qvw9spXgmdOVQ7SomUMahc7ccIetYBJGbsnGOM+DYaiLE7cHvilAOueswGTGNc+rcLYOwWi0cONCA7dvboShChw5badJkH3IelOUg48C11YCRYnAYVea2DARwoGsJyhOigcao3zUox18+vFKjwo3SmS0HOgTN6Eg3KizYxsIM3HbsuJbRz00gvVo0z1jf4s8Q93G7q9GoUNoxffMwUlNLts9BNyq8lOd78eJbGTx4Jjk54dx22yJGjJhOYmIyhw/Xpu/QRWRWj+Af1vdYY+mu5q9wRoVG4DXgASDxym6loxRxHlgDPA/8WQz3K4erLJ275RQ6d3XuljNkZ4cTHp6D85wRwzoXhn9LqXK3dDUEOVAc2g8dpYgYoCWqQ6ly+rGjK9UQHHLVISc9jNzs0IArqOJaQeiOidSwqI6JTp+uxMcfj2XMmE+9XElPmTKCqQtGMOvwIE51rAKmS9MQVBTHRH+56nH2XBJ2q4kzZ1SPcFfa5yWlIbiaHRN5woiIHBwOEznmcHZZWnKwXV0v7lYcx0QK8ATwNFD1ym6lo5SRAawEHgOOX+G9yuMqS+dumUdubihhYX6+7KZzV+duOYIIrFzZkyNHatO6wa9cd35HqXK3dDUE2eh2BOURYUAzoAWlfVC1WJBKLKCu+jyza0+cb2jDrO2/aTKJhWzISo9gw/rOiKCtfj0rAU+YmxuqrZ59ZZ7Q5VK0Fb6vLCsrQls9B8pvt5u0VY6vLD09WtMQBMpvtVq0lZyvzNOu/H/7psnJCdNWcoHKcDoN2mrTV5aZGamt5Apro0eL4a+Nnvebp44ey/PU1FgcDiPffDOAiRNHsWJTT1KqxiPN4ZRSRU3jHlcB0on2ivOE2YRjd6vEPHHBgKfsHMI0jUUg7joxkEmkt8zNXWu2hdlf3YPdbiq2PvdNk5cXoq2eA5UhgrbC95VlZ4drq+dA+R0OY0DuZ2REXZT7NptZs5+5HO6X1PNts5mZPn0oU6bcR+3ah7nnnjk0u/YPzleLgxaQrqh9lk70Rd9hVizkuo2+Lpm7UlSoY3ll1yBEDiLiQkT0q9xcLkRSEHkOkbArGP9LoFtxwoFBBMSJotXDE+cbutxXAdkgxLbPJMnn4kUEcTgMfkOXS70KS1OYzOlULpomf7rLKaM46liU/IHqWBptPHSolmzf3kbOnkkU6ymzyHOIPdToNa6F8cAfV4KB/PXxy0uf9njq7ctd5wFFjh+rVqJ9HmzuFyX/ldaxuNuYnh4lI0d+IVOmjJCzZxNEBFm5socMHz5FZn91t6QdihZ5DkkPjSoyd/29w4qK0tsyAOiD+q3yBhBEXx86Lge5wCzgWVRjrcvV8hSRbsWKYuKuvAdzdtzD0eO1ePLJcZjNjiu/r44SQ15eCF9/fRdRliw6n9pIwqspGFNdVy13f06/jo8+/Tt9+izh3nvnXPl9dVwxTp1StVZVqpzWhvrcuUSiojIBcGQaifw+p9Teu6WrAD4FnEb9cdFRfuA5MmoBQih3Hiev1KgwmQQ4BVmHIqlb9RBjx35Cerp/gzndqLB0jQoLM3ATUbi29S847QZ2nm7Fb8YWoFxdRoUe7lqPhhCq5PHZZw9x000rVFm+Ptu6tT3r1nUhI0M3Kiwsf3E/31WrnsZstqMoF9LExqZhtVpY+P3tPDD6C2b+NJgtSgdQKpJRIUAE8E9UJxkNKXc/LFctHKhGLeOBKajf7b7c0yLldZXlw92c3DCOHKnNkSO1WbfuBho1+pPhw6djMOgGMsFCcnICb731DC1a/Eb79tuoX/8vTDjhOMinYJtiIeS87armrq22mX1/NmbPnqaat0qAtLRY+vRZQv36B6+8PB2XjIyMKN555ymqVz9B167radDgABaDXXvvymRQzlPy3C3y5kJx2BCASCdEliFiLwN74/pVtCsXkU2ItEXEfIXjHwScI0EE5Dyx2p6aJ843zCVEMonwK8voECkznx0kM6cPkmnThsnPP18r+/Y1kNOnK8mZM4kigmRlhUtuboiIIOfOJfgNnU5Fzp+P9StLT48Sm81UaH6bzSTp6VF+ZSkpcdo+ZaD8OTmhkp0d5leWnKzaSOT/2zdNZmaE5OVZCi3D4TBIamqMX1lqaozY7cZC81utZsnIiAzYRs8+rq9sz55GcvZsoqxb10WmTx8qMyYPlhPfVRVpi2w1tvMaTxdICnH+x5pIsWL2igsGPGVnEiF5WArlrgODpBLjn9cdQ+TLZ4bI7Jl3y+rVN0henqXY+twTZmeHSU5OaKFpXC71Xv5kGRmRYrWaC81vtxslLS3ar+z8+Vhtrz5Q/tzcEMnMjPArKwr3i/P5Pns2QVat6i7Ll/cUEeSvv+rI6dOVZOvWtjJ16jCZMXmwHJ5XS6Qt8qepgYibrx47kUA8yCFUsgm7LO6WroYAVGv111DtCUKK55Y6ShiZwGrgYdQtnytBEelWrNC5e/VC564KP9zNzQ3F4TARFZVVPGXouGQcOlSHxYtvIzY2DYCwsFw6dNhKjRongsLd0j9Elg3kAc5SL1nH5cIKHEYlaDlEsdgQoB6Xm7VykOYA57nnXufzz+9HRLchCJYNwblzCXz11b08/vi4go6Jpo5g1qxBnNpZBTILjudVY0MA5GWFMHPFYK8+Gj9+NM8//zp//NEE0B0TlaYNwV9/1WPTpo7UqXOYe++dzYAB8+jRYxW9ey9lz54mTJr0EF9+OZTDP9f24m7FsiEAqAy8AQwAoornljpKEE7gCPAm6vflr3QiV55XWT7cPXWqCpUrn9HtBoIMp9PA2bOVqFrVZxmlc/cC9PdumYLVauEf/3iPm25awR13LCA5OZGxYz+hR4/VdO26nuZNfw8Kd0tfQ5CD+hW97FIvWcflwIqqrvqdcqvV8aysbJi1UzueON/QiUH7hrivLC87hP998zwLv+2L1WqhatXT2qdQjx+vpq18PasUzyraNyxMZrebtGc3UBqXS9G0CJdThtNpyPcJ1suro0cLESiNCNpqz1dms5mLtY1Go4v4+PNYrRYWLbqVn366jj/+aMKenY35c1tDsneFg7PgeOb/2ze0Y9JWYvnTlzYKq49vKKBpNQq0J9vEDxv7MOy+6fz4482qzE+f//FHE5Yvv+myeFEc3C9pXl0p96+0jSkpcTgcBkJCbLz33j9o2/YnPvro76SlxTJ9+jBGj55ATk4YX0y6jy+nDuXcr4mXzF1/77CiovQnBHmoPy4H0b9rUNaRB5wAdgKHglyXK4Dd/ZJ05PsYgyfON3RhwOl+mHxlhjwXt1kWc1u9xditbpndzKFDdRg1ahIxMek4nUZcLoMm8xeKgNNp9CsrWn6l0Pyel2Kg/C6X4aJlANq36S8n/8XrqFx2HT312rq1PePGPUFaWgx2uxmbzUJ6egxZWZFknIsm/UAMmTujcBx2t8NnPNXTtP5lToy43K9HT1wwkJ+XvvUp2B6lUO52yN3KhDGj6dRxkyrz6dcVK25ixoyh1K//V8A+95fv0ngRmFdF4b7LZQjIq6LWsSj5r6SOF3u+b799ETt3tsRuN1Oz5nHuv38yhw7VZdq0EdhsFq67ZgdDus5iUKWvCDuqntHPz0vPoqawd9jlcrf0twxA/VjOI8B9EMTJt47C4AL+AjYAi4GFUByflC/Xalfw4u7J5KpkZ4ezalVPHnjgC0ymcqpCKadwuRQ2bOhCZmYUaWmxACiK0LjhPlpG7MK81aFzNz/ycVfMsH9/Q9LTYwgPz2b9+hu48cZVNGq0v/jK0+EXdruJNWu6c/ZsJe69dzZGo7oyzsqKYPase2kStZcueRuDwt3geKY/ieqkqDgaqqNkkANsAr4EfqRcj1VxGRWmEK9x9/tvb2fcuCd54YVXuP/+L7QfJN2osOSNCvfta8jBg3UwGIRmzf7gttt+4JZbljFkyCxuumk54UoO8z/uj0wHfoRkm/+xvpqMCtOIwXHCCKdgyaLefPXVIL799g6mTx/G779fw+jRE6ld+4huVOjp9xI0KgS4+eYVtG+/lUmTRrFpU0d33UJ5cPAXRP+VgXWaxS93K55RIUA0MAbVHWNc8d1WRzEhFziA6ojoa1RHRMWF8r7KcnP30L11WPNLd0aOnFqst9dxcfz8cxvmzLmHli13AZCYmEy7dttJSDivc7cwuLnrelphwdo7yMsLZeDAuVgs9uIrQ0dAOJ0Gtm1rT+vWv3p9mXPlyhs5ebIag+74CtNhZ3C5W2SPBcXlmAi3c5u7ENlYBpzu6Jf35ULkG0QGIlIdEUMxjns5d0yUTLzG3YVv3SZSwo5LdMdERXOSc/ZsosyadY/M+HKwrPxvD5GByPKEnuJSKHSsrybHRKnEiN1kFLkLmffanXL6dCXdMVEQHBNNnTpMnnrqTTl2rLqXLPV8jHz79N9EBiIL4vtJjhLqdxwrnmMiD+oA9wD/h25HUFbgBJKB54ElwBko9k9VF5FuxQqduxUGR47U4uefr+O22xYTEpJvH0vnbtFQB7/cFVGLWrnyRs6fj+euu+Z6xesoPojA4sW3ufv5G1av6MGpA1V54LfJQedu8L5un4nacGvQaqAjP5zAHtRzr+tRj4ZWkOP1Kah7g2nEaDYEnjjfMI8Qbf8tUBoyYfkvNzH/mzuZNm0YH374dz75ZAw2m5nDh2uRk6Puo3r2JH3D/HuMvrKMjCjNhiBQ/vw2BL6y1NRYzYYgUP7c3FDtm/CB0sCFvV5fWX4bgkD589sQ+MrS06M1G4JA+W02s7bXm19WpcppTp2qwvz5dzJjxhAmTBjFjOmDeeOfz3B/zy9YtawHpEKOhGnfhA80jvltCHxlmURqNgTauAcBnrLz2xAEak9+GwJfWTrR6lG0TPhxx83MnD6YiRMfcjsqeoghQ2Yydeow1q3rSq9eP5KSEs+cOXczZ87dgMoFz29KoDHLb0MQKI1IYF5lZkZqNgSB8ue3IfCVpaXFaDYEgfLn5YVo9jOFcT+QLL8NweU+3w6Hib59F9Ojxyq+mXMXiVnniFqRydwlAyAV7GIiw+0swnccU4nVbAgC8SCXUHII84orKoKnIYgAbgI+AmoW7611XCJyUU8ULAUmoh41zKNkJgQVYZUVAbk9QuE9UGoKJ05UJzIyiwMHGjBnzj18+OHjxVueDg25uSEYDKJpB6xpFn79oTXtT2xDJiooJwTFis7dQIgAZ08Dxo9d2ns3JyeMtLRovv/+Dh5+eCKKAsePV2fWrME88cT7uo1BMSEjI4r//OdVRo2aRPPmv0MubJnfgWsO7SZqWjZynKBzN3gaAhtwDHU1qvMteLCjamqWAotQvWPlUmG0AyUCG5hOOAjbnsfh/XWYPPl+Tp+uzL59jXnrrWe0ZKdOVeHs2aQgVrTi4YcfbqVZsz+YOnU4G9d2wpTi4Kvxg9gyqyOGo4JSUhPZigIb5B4Jg/Vw6mgVHn30I9599x8sWNBfmwykp0fz/ff9ePrpt/XJQDEiOjqTXr2WsWtXC6ZPHkbe0RCcm4x8MvlROEKZ4G7wJgR21B+f74DzQavF1Q0Hat/vRp0MbKdCTs4u9dih75Edr2OHAHawHbHAdxCal8etty5m1aobue++KTidRvLyQti/vwH33z+ZhISUSzqWlH/LoCSPHXq2DAo7ehXMY4c2m1k7Ajd9+lCOHq1JcnICAwZ8y6efPoJBXFQOOUPujjDGGZ6k8b59YL8wVjlc2DIINNaFHTvMv2VQYY4dYgQ7OI6a4Dtwphj5739fxmKxMXr0BOx2MykpcUydOpL+/eehKN688iwyS+rYYf4tg5I8dhjoyG1RuH+lxw6rVDnN0iV9uOOGb7H+GkLn3zcx5vR4L+7aubBl4DuORT126NkyuGTuFtn8sDgtzT2XCZEGiPyI/jnkYFwpiKxE5HFEKpXA+JaRUwYlyd3TcyrJxE8f0iywRZDff28qM2YM9orTr8u/9uxpLE899ZZmwS6CHPipnkx7dpjO3Svg7vl5sfLR+2O1UylOpyIffvioZGWFF2lc9Ovi16lTlbWTE57r7L5E+fTx0eJ6jDLH3eBpCEBdoZ4A3kH9mp4EtTZXFwR1y2YVqpamOM+8ljEUq2Mizz0dCXACjr1Xk4du+owU9wpg3bou/PZbc4YMmUVKyuU5LtEdE3k7JkpMTOaVV17gvfeeJCMjij/3NaS+6SBdMjdwbn4ipBQcqyvVEFRIx0Rut8Ye7h58ux5jeo/nvHucJ016iNtuW0RERI7umKiYHBOlpMRz++0L2bq1PQD7/2xAUm4yd8gCTsyv7pe7xaEhKF+OiXwRgnpc6Glwt0NHSSMLWAFMRXWR6SilcotIt2JFKXF3zbZu2O1mbr55RcmVdxXDbjcxYcJoBvebRcIv53XuXinycXfuDwNo3fpXGjT4SxNv29aOn35qyyOPjC+5OlwFcLkUli+/meTkRO7tOxvjaleZ5W5wNQQe2IDJqG5yk9E1BSUNF+rHpX5BPV1QWqQMEkpEQ+CRWRNgMhx4tz4huVY6Xb9JW0Hs3duIFSt6cu6criHIH16u6+L09BjGjvmEZV/donE32eF/HHUNQSEaAh/uHhpXh7pxh6hZ45jW56tXd2P79nbccMNaQNcQXIkNgcEgXHfdz/S5ZQnT3h+B7KBQ7uoaAgAT0Br1m93t0b/ZXZJwAvOAWagfLyrN7YKKtsoCv9z944+mzJgxlNtvX8j1128p2fIrGERg6dLeHDtWkzvv/JakpOQLQp27xQs/3F2w4G+EheUQGZlN586bSrb8Cob09GiysyOoVu1UQWE54G7Z0BCAukrdB8wEdqA6LtJRMrChflzqFFdFP3tmy7mEasonT5xv6MCorcQCpSkQ54DTeyqTOjkWxzYjX3xyPzt3tiQ2NpXrr9+ircY9oQialb+vLC8vRFvl+Mo8odNp0FYpvrKcnDDt2Q+U3243aSuxQGkKk1mtFm2FHyiNy6Voq0VfWW5uqKbF8JdfUaBLl/XUqXOIX365lsmT72PSpAcZM+ZTpk8ZyroNXTXuBhojG2bs7k8bB0ojoFlj+8ryCNG0SdlB3Mf0lG3Foq3wA7XHhaJpRXxluYRqK0tf7h7fU52/xtfD9ZPC+HGjadlyFz/+eAu5uWGXxAubzaxptwKluVLuX4xXF+O+w2HUtFuXw/3C2pieHsX8+f354ov7mTJlBLNmDWLKlJFa+M3sgWzadP1FuevEQB4hfmU5hF30HWbHpGm3LpW7posnKUVkAauBekAloGlwq1Mh4UKdmZ4DMqiQxwx9YUT9LLEBV4E431BBtHSB0viLi88+j3mjHZrAkL4zmLhuNDfcsE5NY3R6hYpSMM4TGgwuFEX8yi7kFwwGV8A0nkVlYWWIKIWmuVj+K69j4fkjInLo0WMNRqOT7OxwoqKyefONp4k3naeZ6Q+Nu4HGqGhjTaFjrbhfvfnHvbSRvz2+9blU7gbKXzn7DMafnBg2Cg/97TO+2jiIhx76jCZN9mkTz6Ly4mJpFIUr4oWiyBWWXzgvi9LGQHUMCbFx331TAXXSHBJiIy8vBKPRycLv+9K+5jaUrVyUuxcfRwLKQOWKuFNdKnfLzpaBBwbgZmA40Af9a4jFjTxgKzAFWAkcL+XyK6La1QMDyE0wqcYo+j83n/h657Vvneu4dOTlhfDRR4+Snh5Dbm44Lz77Mru/aU7qt3Hctu8HnbvFCfd7d2b9wXR8YAs1rjnu/a0IHZeMc+cS+fzzB7nxxlWcO5HInuXNuPnEclr/srPMcrfsbBl44AJ+Qv3Iw8+o6m0dxYcs4FdgP+pM9SpAiRoV5g9dYP/JTN+0RSQdSSY71dt46dy5BBYvvpXPPnuA5GT/Bnu6UeEFo8Jt29pRqdJZYmIyeOmlFzm8pw6dHJtpkrpX426gcdSNCotgVOjDXdd2hS4nN1D//EEykr0N9/IbFZ45k8TWre35888GXml0o0Jvo8L167tSubJqSxAXksbTTd5BjihIOoHHAd2o0D+SUDUE/wEalm7RFRqngCeBNajbBqW9gK3IqywP8nE3p3oYa9Z013wSxMefp1WrX0lJSaRVq12lW69yAKfToGlVsrIiePDBz3nnnX8yf/4ARt0+idDnrTp3SxI+7928vBD27m3Cvn2NcThM7ioJhw/XYdSoSSQmVmAHJleIpUtv4ZdfWtOs2R76tfse5R+Uee6WPQ2BB+eBA8DJYFekAsEJpAOH3OFVos0uCQ2B52/fNNmEk5cSAgdg+fc38e23d7BvXyMGD55Fnz5LuPXWH3jqqXcCruKvdtfFp09XZuzYj0lJiWPr1vZ89tmDTJs2gpHDprB53fVwCM6nxSFu7paUhqDCui4uJL8VC5kpkXAA1v5wAzNmDGHWrEGYzXa6dVvD4MGzGDJkFr16/ci//vX6hToWk4agtFwXF0VDcCWui+12I+fPx1Kt2gl27mxFm1Y/s3JpTzgE6WnR2F2mQschmK6Ly66GQAFqAXcDL6AfQ7xSOFE/YjQXGI86KQjGp6evhlWWm7tyF4yLf5I6jQ/Tv/+3AHz55VBuvHEV1avrM91A2LChMydOVCcp6RyrV/fgmX++xbRPRvBIxKcYJorO3RItD+2963jeyPtfPAHAP/7xHgaD2v4ZM4aQkpLAY499WOrVKw94881nuP3275kxYxgjhk5l5YKbGBMxHmUCZZ67ZVdDIEAy6tcQN6M7K7oSOIFUYCOqbcYZrorTBR6Umg0Bbg2BhEAyzFlwD4PrzqJL5w2AOhlo2/YnqlY9pTsm8tEQfPddP/bubUxycgLt2m2nVq0jZGRE8re+33F4Vx3uqTKHhdNvhzOQYovXXge6DUExawgkEpJh5aIbmfm/IXTutIEnn3yP1NQ40tOjmDTpIUJC8njkkU8LuObWbQjU8G9/W8CSJbdyU48VnDtYiYGV5jJ/an84A+m2aO04rG5DcKkwou5pDQeeQz9xcDlwoE4GdqD6eFiBuocVLO+EV8MqCwpwd/Wv3QkLy6Vjx62lX5cyiuzscCIicgD1Zfzss2/y8cePMm7ck/TosZrMtCjiTee5zrlD525pws9798cfb+bs2Urcc88czOYK7tr0MvDnnw2xWkOoX/8vdu5sRVLcOf7Y3ox+lRaWK+6WXQ0BXNjz3gLspcK72C122FF9DvwGLEPVtCRz1fWjZ0btQgkY5wmFC8qoQGmKlN8JrjQFtsCO767FnmemRYsLRoSeVXyg8HJlRUnj+QTaleQvjjo+9NAkDhyoC0BcXCofffR3Jk58mOHDp7Ftc3u6XbOW/WsacujrOrAZXOcUcJTeOPqmCQYKq8+ltKcoabRy8nH35PqqfPrRGOrUOcTQoTMxmx1lnlcXK+NK6+gvf716B3nppRdxOEy8/94TxEkqoafy+G1m80vmbmGyy+V+UVG2JwSgHjv8E9jEVWUId8VwoBpm7kF19rQa9ezrVbRV4EG6W42aRaT2gHjifEMbFnLdBjm+sgyiC9zTN8wlDJtbtZtui4E/oeGJ/YQ68nj1lf8gAjt3tiAjI4qjR2vyzTd3qWnT1fw5OeGaOt0T5xva7SZycsL9yjIzo7QXVaD8VmsIeXmhhaYByMiI9ivLzQ3TVLuB8judBrKyIv3KsrMjcDoNDBkyk3vv/Zrc3FBOnKhGZmYU/fp9x8IF/Xjwjs8w/unkXmUOSdvPwXFId1wYB88LL9A45BGK1e3tLVAaATLdqllfWQ7hmmrXExcMePPK7BXnGzoxkEWkX1k2Edp2WWDum8lxq5o93A3bmcuYQePJyojE4TAgckG17juueXmhWK0hfmWeUETlqD9ZTk64tl0WKL/DYSQ7O8KvLCsr8qLct9ks5OaG+ZV5+F5YfpX7FlwuhV27mmsyk8nJ+PFjmPL5fUx5ayRRxzPplbmcur8e8uJuDuHa1k2gcbBjujAOPrJMoi76DrMSQp57u+xSuVu2tww8CAFuBP4LtATCIIiT9rIPj83Ab6gTgSXA70BuMCvlxtWidvUgBM53iWNOm3u457E5TPpyFHHxqdxzzxxefvlFxo79xOsLc1cbxo9/mKysSB555FNGjfqMx8Z+SPXIE6z66kaGm7/UuRtk7jp7GHij9nOE1LLS6Jo/WfDdHXz44d95+eWXeOyxD6lZs7Q97JQddO26jmuv3cGHHz7Bp5+OoVb1o3RtsZ7ZH9/Lw5GTyiV3y76GAFQtwc+o+zCn0J0VFQZ12QO7UbcJfgD+oGyQMkgodaNC98o0mQSwwclfqvFw5EQcJ03cc+ccbrrpR6ZMuY933nmK2Ng0ALZs6YBIxTQqPHq0hiYTgV9/balpQXr3XkqlSmcZN+5JPv1kDIY8FzXOn6BD8lbyFoXAH5CcW3AcdKPCEjIqdGsYPNzdt60xD8dNZNStE6mWdJK3336KTz4ZS//+8wkLy+XcuUTOnk0Erj6jwnfe+Sd16hxm3LjHGTZ0Oia7g5ijGfTOXUrGwii/3E1HNyosHpiAZsAYoBdQE9zPqw5Qt1JyULUD24H5qNqBw6juissKrrZVFnhxd0e1a9mf2ZBK1c6SnJzIwIFz+f7725k2bSTz5w8okPXkyaps2tSJgQPnlXq1iwuff/4AVaue4rbbfgDgwQc/45ln3qJRo/0AzP16AJ1ab+Sb+XczsulUYpZl6Nz1oAxx92CTuizbfQt1GxzEYrHTrNnvPPTQ5yxc2M9v1oyMKKKjM0u1uiUNEe8h+WbOQFo03MWyH3vz4DWfE7Ekp1xzt3xoCEDdEz8AzAAWoO6Nl6UODyZcqFqBdcBSVKvW5cAR9D6iZDQEhTomyq8hAPW75wfg7OQkUhYncHfzr/n912vo1etHPv10DHPnDuS11/4FFHRMNHny/SQkqJ//PXiwDuvWdS13joluuGEtf/1Vn9OnKwHw6qv/ZsmS3tjtRtasvoE7b/qWPXObMbbWJ6z8oCcsB9thM5l5+VareK+SSlpDcDU6JrJh9tYQcIG7GVOj+HVqa8bcMIHfdrSkWbPfuffe2dx00wq/xw63b7+OF154pUI4JsrODtfSrFnTjffffwwRSD6bwIBe8zi+pCZjao5n8bu3wXJwHVZIzYv128cZRJWKhqDiOSbyWwdUB0XNgB6oH0FqA0Rz9doUuFC/T7ALmIxqOPgXqq+BHMqe/4arcZUFBbgrN8G0vSNo2PJPjp+oyT33fI3DYcRkcnL0aE1mz76XRo320azZHm0l/cEHj9GmzQ66dt0QzJYEhNNpYPHiW2nX7ieqVj2txWdmRuJ0Glmw4A5GjpyGCBw9WotlS3px/FBNWkbuYuCheTp3/aEMctfazcL4HWNo2X4ntescpX79g9rX/X79tRUWi40NG7rQt+8iqlU7RVpaDCkpCdSvfzDIDbk8/Pvfr/K3v31H+/bbEYGJEx+mfdttJB9LhEPQa/fyCsPd8qMhALWTs1CPIC4D5rjDI8BRVNuCsjYQJQUXql1ACioRl6MeK9yBameRy9XTFxdBuvt0QBYR+Sx0o/2GNszaCt9XlpHPXWaGZp3unSaPkHzW4PlkAumZ0bAXZClMeHE0vU1LObC1IQPazWPpwlt4791/kJoaw7x5/alV6wigULv2EVau7AGA2Wyja9cNOBxGbYXvWS15wszMSO3Z95V5QqvVou2D+so8mof8f/umyc0NzWcNfkG2d28Tli27heeffx2nUyErKwIR1XPbn382onr142zb1o4vpw2jSsxpFsy9k34tFpB4IJmNKzvBDjh7MglywS4mbYXvbxwunDLwP45WLNqKOlAa1dwm0q8sh7B8pwwuWJ+XNjxl5xJaoD6+oQtF0275yrIJz3fKwH9+OwH6XNy82gMsgymv3ceoGpM483sV6psPsnbFDXz+2YMcPVqDN998hhMnqtO8+W9Uq3aKQ4dqM3Hiwxw4UB/wnDLwnD7x5lVOTphfXuUPnU6DZv/iK8vKish3ysB/fpvN7Jf7e/c2ZvfuZqxe3Z20tBiN+3v2NObxx99n7dobyM4OZ8umjtw/aDJ/7axHTddRflvaQuNu1skIyAWXKAF5le11ysD/ODgwait8X1kmkUXivu87rMiQouLCEczgXwZEohBpjMhARN5A5B1EdiCSgUgeIg5EpIJeTkRSEdmJyHeIfIBID3efGBBRysAYBbqCABsmERA7Rq0enjjf0IkiDgyFpilM5sAgTpTAadzcdTZSRAYirtdV7uZtsUjyoTh5980n5Mih6jJ58kix2Uzy5JPvyo8/9pRDh2rLjz/2lBMnqsq+fQ3E4TCICPLXX3VEBLHZTCKC2O1GjSeeON/Q6VTE6VQKTVOYzOEwiMuFuFzesrw8i0yePEKOH68mX311j9jtRtm9u5lMnTpUPv74EbFaTTL585GSeihaZCcy99n+cv5/MSI9EGekImJAXO7+dbn78nLHwYlS+DgUYRxdPmmCgcLq4689Ho77yorC/Yv2uZu7rkbe713nT4oc31tVPh73iJw4WllmzbpXbDaTjBnziWzbdp1Mnz5UrFaTZGREevEoLS3KL68K457LdYHjvrKict/hMEhaWrSXbPXqbvLRR2Nlx47W8swzb2iygwdry8CBX0tmZpi8P+4xsZ4xiexEtrzVXrb+o61f7l5sHC42joWNQ1HfYb7cLyrKl4bAA4+a/DDqvvksYDawGPXTvntRP4qUibqHLsGoZAkhC1UttR/VN8Ni4EfUNmej9k1Fam8xwOz2xGTCWSDONzQgGN3OLgKlKUxmxIXBPQB+07i5azgisA6Sv0yE2ZDzfTgzxw1lTLfxLJjWn+F3TmfR/L4gkJR0jrVru9Gz5yo+/vhRHA4zRqPLvU/7qnpvt/c4kylfG91xvqHBIJpf+kBpCpMZjS4UBX76qS0bN3bWZCEhNkJCbFSvfpJKlc6wbVt7mjbdw8aNXbnppuUs/bYPQ2+ewazxQ2ATdDi2lV3ft4K9YMgRcF3Y+VPcfXm542BACh+HIoyj4pMmGCisPv7a4+G4r6wo3L9on7u5qxwB1kHml5EwG7K+jWT++AGMvmE886bcxT23zmHlkp50un4jbdv+rOY3O/jPfy5wdf/+Brz77lPa/3CBV06nISD3FOUCx31lvtwXAZfL4JXGYBCMRhdz5w5k1aobNVm3bmtJSEjh2mt/ZejQL1m9WtXK7dvXhNGjx7N2aQ9G9pnK5PceQDZC5LYsti7t6Je7FxuHi41jYeNQ1HeYL/eLivI5IQD1R8+K6g5yN+qZ+zmoBnVzgVXuuCOoZ/LtlF+nRoJqVJmL+nGMDcBK1InAClRPjsmU3/aVMIJuVOgTukQh1RoL58CwxwW/Qe68MMbmfgLfKgxL+hLjHy7aJP1MlZjT1KxyFAMuzp+Pp3HjfTRsuJ/ly3uycOHtXH/9JvXe+YwKHQ4DS5b01o6DXalR4ZkzSV5pPEaF9ev/xbx5A7xkHucuu3a1ZNOm6zl1sir/evY1Nq3pTPtK2zBvdTDANA/XMoXqm09wzb7fIRmSXUUwcNONCr3iSsWo0LfPBZKtCXAOnH8Y4TfImRvOmJzxuOYaGZwwC8PvQnhGDts3tOfAnvpUq3KS06crU7nyGUTUzwLPmjWY7GzVCVd+o8KdO1vwf//330K/JFhUo0JFgUce+YTk5AR2724GXDAq7Nfve/74o6lXWs82wYEDDTl+vDp/7mtIeEg2a1d059q4X4jZlcGdxm9xLjNyzY4/GHTqK7/cdaGQSqzffizrRoVF1yUEW9VclMuMSCwidRDpgMggt1prOiKHETmHiN2tcnerpsr85UQk113/7Yi8jcgtiLREpKq7zcHu90u5goFgt/kSuWtrZxIZhHw16B5JHR8jP0zpLSd/qyKnjlWWJYtvEXEhEyc+JA6HQWbNurcAZz7//H6ZNOlBv3zKzIzwG1/YNWnSg7JmzQ1eKlnPtWpVd9m/v772/4wZg0UEmTu3v+z4qZV89N5YydtnkQ2fd5KfH79W5BYk85oInbtFRbDbfIncdbVHZBAy895BkjkpQr7+ZKDkHguRI3/VlNUru4m4kM8+e0Dy8iwFuOtwGGTcuMfl4ME6BXgmgqxYcaNs2dLeryzQtX37dTJ//h0yePCMArLly3t6lTVz5iARQaZPHyrLl/WUCR+Nkqw/wmXb1LayaWxHkVsQVwsqNHfLr4bAH+xAGqqB4c+o6vRJwJvABGAKqmp9Pxc0BxKMihYBHqPBc6jerr4AXkXVgGxCdTZ0mqvSFfGlIqiOifyEflcQ9gRIg6wjERzZURsWQ4N1B4j9OJ0qa09TdclpUnfEcWPNVTgPGmjfZBs2q0VzA+tZJc2efTctWuzioYc+L7CC+v77vkyZct8lOybq2HEzv/xyLW+++TQi3scOmzf/jTVruudb5UWRnhrNjdevIsmQzH3tprD3nSZ0XrgJxw8m2AQn91Yj71QI2AP3UQEnOT7j4HlsS0pDoDsmuoQ+d3PXfsTEsZ9rwmJosn4vkR9k0/jnfYR+ZcW6J4T28duQw9CmwQ4yM6K8uCsCH374dwYNmkXduocL8PHs2UTmzRvANdfsLrKG4NChOiQlncVkslO79mFEvI8dtmr1KytX9vRyjGS3mriz93zqxhzivrZT2PteE9p9+xOGH12wCdL+iL0odwvTEOiOiYINA+qmTCzq0ZnWqD+0lYEOQCcg0i2PA/czEzw4UbcHjgDbUE8NHM8XutzysjqRuRiKSLdiRQXhblqzGGKd6VAZfoy+mV3mllSveYJBw2ZDHCz8oS9Vq56kbdsdfm83YcLD9O8/n0qVzhW5Cjk5YTgcJhwOEyNHTuXLL4cRE5PhJd+woQuNG++jdo2jzPxyMNUMJ9m86Hr+VeN1nbtXigrCXUdLIyarEyrDXPMAzlVKIjYpTePuV1/fS6dOm6hR4zhGowsRHwdA3wykW7e1l8Tdb74ZSF5eKMOGzeC++77g888fwmhU91VF4NSpqu7TLydoWO8AM78czIDr5vH0P9/mnSZPEXLadtVxt2JpCPzBhfojex44gbrnvg5Ve/AR8A/gMdTvJPyMaojo9HunkkUe6sp/OjAR+AT4DPgK1VbgGKrNhJ3yS8ogoczZEBR1j9GVAE5ITkmAE7B6VQ+y1kbgWqRwal5V7t8+mYRZKfBf+GVWa6rHniA8JFc7VvX77xf2SLds6UDDhvuoVOncJdkQ/P77NXz88Vji41Np3nw3u3a11DQEWVkRvPHGs9zcdTm75rSE6ZC4NZluP62lzm+HyZwZCT/C8aPVwepeSUox7mcXkl+3Ibh0DUGx9rkPdzf82AXHWiOyCBxLTAzfOF3j7m9zmtO01h5MioODB+sB8PnnD6r3SU7g+PHqpKXFkJkZdUmOiW699QftGGKLFr8xe/a9mobg4MF6vPvuP+jWYS1/zG8G06HStrNYPrNx/bHNpM2OhR/h/NE4L+4W6/NdBm0IKr6GwBcK6pvAgOr62Oz+Oxrogup8ozLq98CTgEruMIbinT45gQzUiUoa6g/+V6hfdrShniZId4cV6eSAvsq6fFwCdzPCo3hu2ht8+slYHBFGpky7j8TEZO64Y8EldUdWVgRz5w5k5MhpzJo1CIPBRbcua6kacZrzB+OY/OX9PNX9XZ27JYWrkLskwX3jJvPZhIcwxjsZP3EMERFZREZmM2DA/EsqdubMwQwZMotZswZRvfoJ4qJTaVnnN/JOhfDVnEHcd+1Unbv5YCrhapQ9ePrFhbritrr/z0Y9mfArKkmjUScBlVDJeqv77xDUbQWFontHdKJuUzjyXWdRvQvuQHUudM79dyoXiFiRCBlE2DFhxqGF/uI8oQsFQcGIK2CawvI7MaC4j/1cTn4HRozuo0kF0ogaigucVlUFa8eEOduBfaUJ868O/rLUo1biUUJj8rj2/C8wE+a5BjDgjnm8Nu7fXN9hM7FxabjEQHh4Lna7CbPZUSAE9SNKkWHZWFw2ddKaCff0m8PHHzzKI80+Jf7XVKrvOAF/wpntlaiccRa706QdUXOIERNOv230HJ8K1A8q/Q2XPQ6eVVRxjkMwcKm88vRtmetzucALu9WE2eoowN2ToVVRooSqlU7TM30lpjlOFofdym3dF/Pz7uvofctSbFYzp89UoVatY9hsZiwWe0Dumg0OVfOaBmRCt8brmPTpQzSuu4/Q36yEbLfCdji9vTJVMs54cddT31J9vvONgzPAOF7uO6youPo0BEWB58feCEQADYC/AbVR7Q3CgVDAgjpBMLv/NrkvIxf20JyohNyFOuu0oar9TwM7UScg2aiTBCsVfwIQhFVWhhJNNJlkEUE4ORgQMogimswCoQ0zLgyEYg2YBggoyyMEAy4s2AOmcaGQQziRZBeQ5RCGBRsmnAHzOzBiw0I4uQVkTgwYFBeKCWzhZiwN7VhvsxBS34Y91IQ52oHLooAFDGFChjWK6PhMMnKjiI7LJCMniuiYTFAgMz2SKEcW9h0mzHkO7LkmzC4H1uMWLLttKDvBnmXC7HRgz1NfPPnbmEsYEeQUqGM24YSShxFXwDbaMeHARBh5BWSZRBJJFkoh4+BRr4dgC5hGgCwiiSKrgCyXUMzYvcYhmNzNJRQTDq8+9ser8tznLhRQwGCSAty1hZixxNiREHAajZginAW4m5UXQXhEDgajkHY+mljJ0LhryzFjETu2E2bMv9kL5W5Zfr6ziCCC7ELHwYYZQfEah6JyV58QFAUm1ElAhPuKQdUgROW7It2yMNTJgRl1YmBH3Q74Fu/VvxN1cnC1fcpZV7uWLi6RuzmEER6Rix0Tf52qTxPbPp27HujcLV0UkbsSDko4nMqrQkJMCg7FxLc/38mQyrN07npQVO5WqPOwZeVSUN18GhAxuq9g16msXEHAORJEQM4Tq7kE9cT5hrmESCYRfmXJxGvt8PztmyaLcMklpNAynChynli/snSiNHejgfLbMEk6UX5lKcRpbksD5c8hVLIJ8ys7RWVxKopkKeFyyFBbxFgwTSYRkoel0DIcGCSVGL+yVGI0F6yB8lsxSwaRAdvocf8aKH82YZJDaKFpXO57+ZNlEClWzF5xweTu1drnvqEdo6QRXYCPAnKCqpKlhEu6EiW/Ga7xy92r9fkuKnQNgY7SRRHpVqzQuaujOKBzV0d5RRG5W/GPHeq46lEuHBMF2XGJb5i/vb6yMu0kR3dM5FdWXvvcN3Rg1L7g5yvTn+/Az3dRoWsIdJQu9FWWjvIKnbs6yit0DYEOHSo8K5J0orXZtSfOM5P3/G/Fojn18E3jCf3l84Q5hGkruUBluFC0VY5vmkwitZWcbz7P/3ZM2irHN00aMQXa6BvmEaKt5AKV4a/dnjTZhGsruUBtdGLQVjm+5WcQpa3kAtXRhllb5fiWkUaMtloNVP9cQrWVXKA04r6Xv/KziNBWcp64YOBq73Pf/A6MmhbDtwz9+Q78fBcVuoZAR+kiCKssl2LAgOBC0T4L6vnbNwT1paVcJE0gmSfvxcq40vxXWkeC2MbSGofibmMwuXu19nlZbGN5fL6Lyl19QqCjdKGrXXWUV+jc1VFeoW8Z6NChQjc60o0K/YW6UWHZ73PdqFA3KtRRkaGvsnSUV+jc1VFeoWsIdOhQoa8gdA2Bv1DXEJT9Ptc1BLqGQEdFhr7K0lFeoXNXR3mFriHQoUOFvoLQNQT+Ql1DUPb7XNcQ6BoCHRUZ+ipLR3mFzl0d5RW6hkCHDhWeVYsVi7bK8cT5hk4M2gw+UJrCZOoHcw2FphHQVhm+MvXzy0qh+V0o2krKV+a5b2H5HRi11WJhbQxUx6K20bOi9ZUVdRyC2UZ/4xAMXO197o/7V9rGq/H5Lir0CYGOCg+Xm+aufHT3jfOEgoK4H1h/sivJn7/8oqS53DKkCPkDyYpSvlpG4fUvrIyy0EdqmkvLHwxc7X1emnWsyM93UaFvGegoXehqVx3lFTp3dZRX6FsGOnSoKAmjo0AGd1dqdJRBVKkYHXn8uV9OG0vDwM2GOaCB23niStzALZPIq86osCz2ebCMCiva811U6BoCHaULfZWlo7xC566O8opi/5aBDh06dOjQoaPCQt8y0KFDhw4dOnToEwIdOnTo0KFDhz4h0KFDhw4dOnSgTwh06NChQ4cOHegTAh06dOjQoUMH+oRAhw4dOnTo0IE+IdChQ4cOHTp0oE8IdOjQoUOHDh3oEwIdOnTo0KFDB/D/9LJXoGjouCkAAAAASUVORK5CYII=\n" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "wrp = interpol.grid_pull(img, grid, interpolation=3)\n", + "nrm = interpol.grid_grad(img, grid, interpolation=3)\n", + "\n", + "# compute Jacobian\n", + "jac = torch.zeros([*grid.shape, 2])\n", + "jac[1:-1, :, :, 0] = (disp[2:, :] - disp[:-2, :]) / 2\n", + "jac[:, 1:-1, :, 1] = (disp[:, 2:] - disp[:, :-2]) / 2\n", + "jac.diagonal(0, -1, -2).add_(1)\n", + "\n", + "# compute rotated normals = ∇(f∘φ)\n", + "rot_nrm = jac.transpose(-1, -2).matmul(nrm.unsqueeze(-1)).squeeze(-1)\n", + "\n", + "cmap = 'autumn'\n", + "skip = 2\n", + "\n", + "plt.subplot(1, 3, 1)\n", + "plt.imshow(wrp, cmap=cmap)\n", + "plt.axis('off')\n", + "plt.title('Warped image')\n", + "plt.subplot(1, 3, 2)\n", + "plt.imshow(wrp, cmap=cmap)\n", + "plt.quiver(identity[::skip, ::skip, 1], identity[::skip, ::skip, 0],\n", + " nrm[::skip, ::skip, 1], nrm[::skip, ::skip, 0],\n", + " angles='xy', scale=0.1, scale_units='xy', color='blue')\n", + "plt.axis('off')\n", + "plt.title('Warped normals')\n", + "plt.subplot(1, 3, 3)\n", + "plt.imshow(wrp, cmap=cmap)\n", + "plt.quiver(identity[::skip, ::skip, 1], identity[::skip, ::skip, 0],\n", + " rot_nrm[::skip, ::skip, 1], rot_nrm[::skip, ::skip, 0],\n", + " angles='xy', scale=0.1, scale_units='xy', color='blue')\n", + "plt.axis('off')\n", + "plt.title('Rotated normals')\n", + "plt.show()" + ], + "metadata": { + "collapsed": false, + "pycharm": { + "name": "#%%\n" + } + } + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} \ No newline at end of file