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    {
     "cells": [
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "# 2D Layer Surface Segmentation "
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "**Add Proper References Here**"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Load essential modules for loading and showing data"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 1,
       "metadata": {},
       "outputs": [],
       "source": [
        "# Load modules\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from skimage.io import imread "
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 2,
       "metadata": {},
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 432x288 with 1 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "# Load image\n",
        "in_dir = 'data/'\n",
        "data = imread(in_dir+'layer2D.png').astype(np.int32)\n",
        "\n",
        "# Show image.\n",
        "plt.imshow(data, cmap='gray')\n",
        "plt.show()"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## Detect one layer"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 3,
       "metadata": {},
       "outputs": [],
       "source": [
        "from slgbuilder import GraphObject,MaxflowBuilder"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Let's create an object that represent the layer we're trying a segment. Here we are only segmenting one layer. The image data is passed directly to the ```GraphObject```. By default, it assumes data is structured on a regular index grid.\n",
        "\n",
        "The surface will be detected where the data pixel intensity in the image is low. Therefore, for better segmentation the image is inversed by `255-data`."
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 4,
       "metadata": {},
       "outputs": [],
       "source": [
        "layer_1 = GraphObject(255-data)"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Next we create the ```MaxflowBuilder``` and add the layer. Then we add layered cost and smoothness. Edges are added automatically for when calling ```add_layered_boundary_cost``` and ```add_layered_smoothness```. By default these edges are added for all object previously added to the ```GraphHelper```. However, it is possible to add the edges for specific object only, by passing a list of objects to the function. The graph structure is based on [Li et al](https://doi.org/10.1109/TPAMI.2006.19)."
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 5,
       "metadata": {},
       "outputs": [],
       "source": [
        "helper = MaxflowBuilder()\n",
        "helper.add_object(layer_1)\n",
        "helper.add_layered_boundary_cost()\n",
        "helper.add_layered_smoothness()"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "The graph is cut using the [Maxflow](https://github.com/Skielex/maxflow) algorithm to get the maximum flow/minimum cut. This algorithm will find the global optimal solution to the binary segmentation problem. "
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 6,
       "metadata": {},
       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
          "Maximum flow/minimum energy: 95802\n"
         ]
        }
       ],
       "source": [
        "flow = helper.solve()\n",
        "print('Maximum flow/minimum energy:', flow)"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "The segmentation for ```layer_1``` can then be displayed."
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 7,
       "metadata": {},
       "outputs": [
        {
         "data": {
          "image/png": 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Sp9lZS82cmyZIfvY0P6/eVM6Vn8XNkVdJ+HHQ9/B6x3Hg+/6VZmM9hu/78l5ErLg2phGZiKrnpPeDa8WsEp3Zc1VApiYax3GE8HmdNoHrNdQHGsfXhKcJK95EVX9mwICB1QbDJwyfWFU+sRKCleu62N3dBfBkY0uN1Ppz/b9GKi56XLLUErSWVkej0RNmPl7PzdJIn0gklqRc7XfVC8/N1n+zgivvZ3E5LQkTqfTcmanC+TCNmMjC+eoid0SmdruNbrcLAMhms1IQLwguM1D0nIBFXZVCoQDLsiQzJAgWmSbT6VQKyrGWi96n4XAoWojWqGx7uQ0BtR2O47ouBoOBPIt7qH3vnuchm83K2o3HY7netm2psTKbzZBKpZDL5eD7vozB9bIsS/aGe8dnsnaLAQMGVgsMnzB84rrwiZUQrBKJBCqVyhPStpYmCRqp4/5t7QdOpVJLWsVVgWckTi19asmb0i8RSpe3Zz2S+XyO6XSK6XQqRKHNlFoqtyxL5sXNmU6nUnpfE76WmF3XlayXRCIh8wKWfewkJK7LbDZDMpmE7/tIJBLwPA+ZTEYKzNGcqzUEvmcqlZLnsSKuluw5Z86PJvggCISgiPDApXbIdwIg66mvTSQSEpTp+/4SnriuK59RS+OzuY+j0QiTyUQqD/MQYVVdrVXxmfqQ7vV6HwNjDRgw8PcNz4NPjAIL8xDI2At34nXnE/3AxTxanKlze45xuKjN5NouEmECruViFtiw7AsrUwR4oQcHF3wCAeaYY+ak4PsXwoKbRDqdxtj24QQTpJ7CJyZIYGClAQBZ/9PziTACeuFiXRI2kHMDBBHQDz2EiQQCJwHHcjC0gXkiiTnmcDFHIbMomzAKLAwCC5PIRRQt+ITthMhkFnwitF10ZxbmzhwTa4wppoDjw7JSmEaeCFVAAgECIAJs2LAdG1G4WCtcoNhgOngmrq6EYOW6LvL5PIDl4mAE7bNlLQ1eG4ahVL0FLhlmNptdajtAQUP7S4nw2txJyduyFu0TWOuC5kwSDOumzOdzeJ4nNThIMDqVVZs7aTqlBkJkpfahNQmCfgf+aCmdknXcZ8wf/X6ci9bWeD/XzrbtpewbXsd31tfxmXwu10v75inlUxjiXADIGup3i5vvuSez2Wyp7QPn57quHD66DsxoNBKBNB5Hwfs0joVhKJrpFwG+vf01AMCfHf/oc57J8wG+z/MAvSZ63Get1ce97uNC/H3+7PhHH/mOT5v3Vdc8z/V6L2o8t7F+VphELrK5PGwLCIIQ9zsR+rMIuGAVjm3Dsi6sPMEc9sXfYRQiCiN0xgH+/DyHeWTjF/I93EjPkXHTcEIXURQiCBbn5TxYtvBEYYiKFSKVcjEMbHw49bGeGCBpL878mZvGcZgBZoBt2XBDF27ownFsuDMKEiEqyRkyzhBBZOHxNI0QF4JVeHHeqIoEnuXBsoD5PEAQuJgHHpJREq5LBdXG+10Lf1GLs/DcFSvnX/EZwQWQBJDBtzJJpK0p/qK9iUwrRHvuwrNC/Ealhm1vgseTFOYzB7Zloz1P4P89zyDE4kwtJEL8k90ZHAsYTkNM50nYlgV3tLDchVEI13FFSJnMFvzejS7iwsIQ/18zhaPxZUX9bxaHeDzyUJs8/R0tRPiVyghZz8affJjEPIq7Oh38QtnDzQzwpycpdGYflZj0cUWizDP5xEoIVsBlxoMGrT1Q0tVl5ylM0FQaD2zTjJ3Mm/dzUbRfldK21oDi2gvvZ0VYgvZ3x02/Wuhj4bbpdPqE4EWBjc/RGlK/35fy/Hp+OqOE89QCRFxbooDJzt40WXN9aLLVBeC0v5vvBiwLp9p0y3eisBLvvUXQViyujfapc/zpdCo9qgA8YQ0bjUbo9/tot9vo9XqiJREPrtJsdZCk1nZbrdZScOznBe/9XXrp/0/DJD/pvXHmHRciPu54nwWDf17wtDnp933WvD+Ld/o4Yz6va64jNKcW/tUHHnbSEWqjCG81nhVEnLzy043EBGV3ije7ObzZ1d88OyC54GbwWmaAnwwy6MxdpOwSvpxqwwLw9qiIYfis+xffJSwP31qzcThO4PHw+YQbfDU/wn7ysobXaDxenO080yxr8bfjgCdveMVZ/O4wjR8OygCAtDVDe57Aa+kejiZJ/JtaBXv+BA9GqaVn7yVH+Fp+hHkE/MdmEf/nQ6751Wu/DNknPrER4R/kG8g4AQ4mKfxVOwfXCvHfrDWRcgELgHWh9IdBAFgW7o3z+G5tcVZuelN8LdUEogj+BQ84HCXwZiOJNxsuMk6If1xqYjIaYDweixHEvpAjuC62Zcm6wbKAC54onwEYDAb498/gEyshWAVBgG63K5YSMuIwDMVCRaGFAsHTLB46ul83aSRzpSWGDJXMmdfQbQRcCgcU0nQV2n6/v/QOHDeeTaCFKwpCnIfO3KDQQD/yeDzGeDwW4WM0Gi113gawZL2h5Y6mYi3I6EC/8XgsgpLnefLOXHftq6ZwQ+GNvmqusXatacFKC0vaAqkzRLS0zzXTfnDHccSqp3txhWEo2Sp8116vh5OTE5yenmI4HKJUKonAyD3QGTbcn7jZ37ZtDIfDlbFYfV4MMv7cn3Ue15XBX9d5f9Eh54b4aRN4u2kDiPCNfB9fzQ0u+YJlwbqwMM3VOQRcuu7yGCEK5ngtnYDtJJDJZpdKEPBM0GdzP3DxZ611fL9TQMae49u5D/GD4QbevBBE8s4Uv1E+RSJanFcUZABVgymy8Kf1PP6imYZrhfhHpSZ2kpMnziEq9+QTuhK8bdvAxbme8DwkXRupeR+TkeITs5+NT2xaFr7iJTEPI2SCPqJEEllY+HLSw59PXsSjkY//PNvEC257UQ4iDFFyp/CCBZ/YLzcxtHxYACYXvC0MQyRcF85H8AnyKC+cwMcUURBhz7XwlbwPN5wiFQRAcDWf2HEcjNeKsGwH2XCA+XTRaDqXzCFpJfGfFRL4Zi6JwHLgTjponh3j9PQU0XCIzKfgE/gIPrESgtV4PMbdu3eF0etqq3GXmAZt6aFAxNoZ7OwNPFlMTgtRfKZ2QdGa5DiOCDraOqVdcHou8cyLq7Iw4oF5HI/CJJ8Z38jxeCzzpKDT6/WECOky01kPcfcXn6VjA3Q/Le0u1eunXYxxd2p8j3SbgPh+8d0Z46WFSy108fdgMFh6H64TY8CYtfLgwQO88847ODs7g+/7oo1oa1Tcvcx9jmd9ME7AgAEDqwWJ+RD/zP7LSz7Rn6Pf+WR8ohPjE9HH5BPf8TyECBHMAkStCP8Q7y3xiWiSROi6CJ7BJ/7BxVzCIERUi9B/Bp8IGG4BwLmCT8wcB0EyicFz5hMOgDGAMOyif/Hc/zJxvDhP+xctgi74RP0pfMIGYM9miIIAcwCR4hO08ZBPhGr+cwBDXPKJpDfBdDpF8yP4hOsu+EQPT+cTvuviwaO/Pz6xEoJVGIYYj8dLi3eVYHWVkAJgyUXF4mo6hRVYblAZRZe1ULTQoK1fXDRaqXRwIRExToj8Wz9TB0YytorP1FkZ2sKl3Vx6DfhOHCuZTMqa6bRa/R66qJxeb31wMMaLz+I6MiYqvh+cL912VwlQWsonEWhBkkIcNbSrcIKHVty1yX3hcyaTiewTe4lxjjoANL4/2vXJ9SsUCkt4Y8CAgdUAwycMn7gKJ1aRT6yEYAU8SSTaekTE5OLpF4ojMgCJB9JIHY+l0mXy49aneApu3PKj56DdfRyfpk2NwHxHBrVrCZmWMw1xMzaJhGPre+jW0/Fj+pkkAro0mami58z3SSQSS2sePwii6LLYXpyYOBbnoGPESJC8J27d03upDzcSLQBJFIjvi+/7KBaLVxKXjkWLr4doRheZk6lUCul02ghWBgysKBg+YfjEdeATKyNYMZaJi0YplJsLXNa00IjENHpKkrxXxwjFiUVrBxxDE9ZVrrwnfKwXwDH5t5hUHQepVEr8wVrbACDxSUR2XRNjPB4/oR3N53PxB1ProuQNQL5jALgmEuDJ+i4kPF3ygBoI46r0HOLvrYPe4xAEgWiWURQhlUoJgXM/9Npy3MlkInjAvdAHUlzDpFsyn8+jUqnAcRyJLyBBxOfHNeF80uk0MpnMwlzs+xLQaMCAgdUDwycMn7gOfGJlBCsCJV0urOu6SCaTS2ZJjXw0BQJYuodIprPm4qZM+sh1GwRKwfybQdRacieSc/O4sVoidxwHzWYTnU4HvV4PnuehUCigUqnI84HFpo8vMjniUjmJOQgClMtlFAoFeTf6kCeTCTqdDtrt9pLmw1IRvV5PrvV9XwiOEnwqlZL7bNuWwP9MJiPvPplMZG4M7uNzaEampD8YDFCv19FutxEEi1old+7cwdbWFtbX15FIJNDtdvH48WMhUI6j1x6A7LsmIMZmAZclMEqlEnZ3d5HNZtHv9584MHjA6L1LJBJIp9NPFNrTWrABAwZWEwyfWIDhE6vJJ1ZKsNIIo82O+nvHcTCZTJauIwRBIBKyrmdEyVqn4LM2Eiu6MoAbWO6SDkCke46jiYTErefK+87OztBsNjGdTpHL5VAsFpFMJmXD9bw1sRFZAUhF2FKphFxuUb+DCDyfzzEYDIRgqP2k02lks1l5lvaPJxIJ9Ho9kfi1fxuA1KrivKitcC31IcWDisTouq5UtB2NRvIMx3GQTqextrYmGpgeTwfux/3uAJYOxLiWynnato1sNis1xXioUBui5saAff7md1pDiccCGDBgYHXA8IkFGD6xunxiJQQrLh4RV5vy4qn62sSnzbHApemS2gpw2eSSZkzbttHv9zEYDDAYDLCxsSEVuvlsZo1o/zORjqn+2i9M6ZZzIHDTKPlT4uXnnHsmk5HnWNaiWi0D6bjR1CyIBEEQoNVqodfrSSkG1r6iZkVNg1oH31FrVTQnk9j4Htr0TQQbjUZLGTUkwFQqJf7nyWQC3/eRy+XEBJ1Op5/I+JxMJktIzPWlpkVT81XBnlxzHlS6OGsyuaihwvXVBxkJkr91YCrXfzgcGsHKgIEVBMMnDJ+4LnxiZQQrmhWB5cKg3ByNcFwEnTGh/e5ENN/3ZbN0e4HZbIbBYIB2u4319XWRpJPJJCzLwnA4XKrAzbpPqVRK5sjAPR34SAQh0q2trQlx0LyqJWTOL5/PIwxDacdCf/tgMMBsNkMikcDm5iaazSYajQYGgwGiKEK/35e6S77vo91uYzgcIp/Pi6SdTCZFGyDiR1GE8XiM0WiEbreL8XiMTCaDYrGIXC63FOzoOI60xKHWoH3PJDLui+M4KBaLQkTMoAjDEJ1OB9PpFO12G/1+X/aURKIDTBOJxFL7Gn1AUSOkr5v7xLXXmpR+j6tw5ipt9arsEwMGDHy+YPiE4RPXhU+shGAFQDaXZjv6SLVJlYubTqflxafTKTqdzlJbG2BhGs1kMsjn81dWdaePHsDSZuteRiSIZDKJ+Xwu0jYlco18uggbkXN3dxe+76PVaiEML9M9KXXncjmUy2UxuwILX3q73ZZq41yDXC6HXq8nRTApefNgIPER8Sjhj0YjDIfDpSaeNHUPh0N8+OGHaDabKJfLGI8viqtdNKXUvam0D5uHC/3uDEJkKmu5XIZt20JMnueh2+1iOp1iNBqh1+uh3+8vaT+WZT1ReZ1Asz2BmhXN2J1ORzSMRCKBbDa7pFEyO0bjB9dJj5tMJlEoFJYCRA0YMLA6YPiE4RPXgU+shGDFwMPhcCj/A5dNL7XZMQgCCSbTvm4SDLWFtbW1pQaQlPzZzDKdTov0f3x8jGQyiWQyiWw2K8hCBJtMJqKZsHO39jvzmefn52g0GnAcB4VCAdlsVvyyRP5qtYqdnR1BpMlkgjfffBODwUDMnyQ8Vl/3PA/1en2J2OKpt+PxGOVyGZlMBul0Gul0WvzM2jfvOA6q1aoQfa1WQxAsKt9HUYTRaATf91GpVFAul0Wy7/f7ePToEQDI+jGGod1uy8/t27extrYmhxwJ4fHjxzg+PpaMDkr70+lUtKVut7sUt3B8fIxEIoFisYhCoSB7QhzI5XJLJnya3ieTyZKZXs8FgAQkbmxsiAmc/v7T09MlrceAAQOrAYZPGD5xXfjESghWRCjt06XfVEuL2uxKBBwOh1JhFVj4obMXbQpoSg1oDXcAACAASURBVNX304xKhBsOhxgMBiLdZjIZ8THzej4rDEPxv7OZchAEyGYXfY9arRaOjxdVarkBvV4P3W4Xw+EQqVQKo9EIiURCiLDdbuP09FTWgloHTauz2QyWZSGTyYjmoqVnzo+EzEOC8QM8jCh5a398oVDAjRs3kMlkxBfuOIsMj+FwKFI5fc3UJugvpxmXvvswDKU1EQDR1nhQ6bRdbRbXWqHO4un3+2KepzmXAZ2e54k2Q8Kez+eyZ9Ro6N/n4cI4BN/3USqVBPeazSZqtRqOj4+NYGXAwAqC4ROGT1wXPrESglUQBGg0GggCVVr/YiEpsfOlmaXR6XTQaDQQhiH29vYEybnBk8lETKvaD8uNzefzKBaL6PV6S9V8C4UCCoUC+v0+Go0GarWabBI3DgCq1SqAyx6BbJJMpNQI1Ov1pGhZt9sVrWk+n2M8HqNQKAjx0TTqOA7y+bz4+hOJBPL5PNLptJggx+OxmIaZEgxcNqEeDAayptTuAMjnACQDhUBtkGPyMKK2wO97vR5838fW1haCIJC16fV6ckhxPvSdp9NpWUcNzBLxfV8Ihv0BqVmw7ggzdPh3MplEqVQSPNKm/mw2K1od1xS4jNVot9sYDAbo9/uo1WpiPjdgwMDqgeEThk9cFz7xqQQry7IeAYsWPQDmURR9w7KsEoB/DeAFAI8A/NMoilrPGmc+n+Ps7Ey0Ax0Yxpekbz2KIpyfn6PdbsumEam4EPTlnpycYDgcwvM8ZLNZQbZcLodKpYJ0Oo1arSbBfIlEAqVSCZlMBt1uF/1+XwLpOBf6ecvlssxtMpkI8WazWfG3s8AZ5++6LlqtloyTzWYlPda2bdFOeA/jBKjt5HI5CRqktE4tgbU7NJKx9gnBcRaF0RgQyHkBEIKgj5zrSi2MiBgveqcL89m2LT50nXpL/zt9/SQY+sg5F2oP/E0T8mg0QrPZlGfRPJ9KpRAEAZrNpmiOrMfCYE+mJPM9+/0+zs/P0e12RbNioGSn0xEt9meF50UTBgx8UcDwCcMnft74xPOwWP3XURSdq/9/F8B/iKLo9yzL+t2L///5Rw1CsytNh1xIIjnNdTTtJZNJ5HI5kUKZBeF5iwJrrFPBWhyj0UiuLxQK2NnZQS6XE2RgRoYOgKM5UGeTMPCu0WhIBgcXHICUuqdfnFksnD8/Y0puoVCQoEHWHSGh8VrXdVEoFKTyK4AlnzjN4iwCx+dTayPo4EtqbMyEyGQyshY0985mM/T7fYxGI8ksASABkKVSCcViEc1mUxBVZ2xwfiQomuv1QcK/dXNnYEF8rK9C8zU/0whNLZYZPKPRaCkYkgGWJP5er4ejoyOcnZ1hMBgsxSkwwPNZFXU/JjwXmjBg4AsEhk8YPvFzwyc+C1fgdwD8Vxd//ysA/xEfQTDZbBbf+ta30O12USgUsL6+Lv7cTqcjplBqFcViURAzn8/j4cOHGI1GqNfrABbEU61WkcvlkEqlpFDY2tqafMaAvB//+Mc4PT3FfD6XcbPZrPihq9WqbDIl4cFggOPjY5GymRrLTaK5FoCYNbVPGID4zSeTidQYASBIwncNw1BMwPP5XEzEo9FItCTbtpHP58W03Ww2AVzW3eC8dWYIpXwSLTMvLMtCNpsVImi1WjJPbS6vVCrY39/HxsYGHjx4gMlkgn6/L9k19NWzNgvnQUKlaR2AHBY0JZOQM5kMhsMhxuOxpDHfuXNHtDEdW8FsFr43U3WZhcMKv/ST9/t96XxO7ZTziBfmew7wiWnCgIEvOBg+YfjEF5ZPfFrBKgLw55ZlRQD+9yiKfh/AZhRFJxdIcmJZVuWjBnFdF7du3RIpOpfLIZvNSqonpdFutwsAyOVysqA6I8T3fSGOeAVcZg0wBRdYSJ/tdhutVkuyAprNpphZ6Y9OJpNIp9OCWO12G2dnZ0sLy+dcvPeS1B3XZJhlMh6PxVxJ0yfNlsBCGmd6KDMxdCXa+XwuAZK2bSOdTkuQIr9jujG1GmZqkADpZ6/X62JyZdos1x0A8vk8crmcaAKJRALD4RD9fh+u60pmS6lUkiBNPvfs7EzWg3PXLQr4nc7oACAHEjNwqEnqbBHtG6fZ3HEcDIdDNBoNSbGu1WpyfRAEEo/B+/mdLvj3M8JzoQkDBr5AYPiEegfDJ774fOLTClb/RRRFxxdE8e8ty7r3cW+0LOu3APwWAOlvxEwDSoy6/ghfHlhI8a7rYjgcSjonzZRE/CBYpLwSAYDFgmSzWWSzWWQyGdi2LT51Bg1yfJpHh8MhoijC2tqadMemD5sEQ58+ESBeX4PfMbVTV3UlsbCGhg6u5PgksIt1E2KhZkAEBi5jDBiH0Gw2l4ilXC5LlgP94aPRCK1WC57nIZPJiL+Z86KJeXd3F5lMRu5lYToAYn6nJsfaJayBQo2J6c+6rxYLyFUqlaWUabY7YC2UXC6HdDotmSNcC12EL5/PY3NzE51OB57noVarodVqydpzrRgIqbOJwjCUzz4FPBea8JH+NHMwYGCVwPAJGD4B/PzwiU8lWEVRdHzxu2ZZ1r8F8AsAzizLql5oIVUAtafc+/sAfh8A9vf3I50VEd/Mk5MTNJtNDAYDAJBUVBYgY8EymhA18tJXPJvN0Ov1UCwWxffr+75kbTADJJPJSOorNREiRSaTETNkuVyWgDZqTYPBQO7hcwn8n8GK/M3UT/49m83EvM33J4JQymbvJx3QR+mZBwclcxIaiYHaGJFxOp2i1WqhXq9ja2tLNA5W7eUB4HkeNjY2UCwWASzM6Kenp+h2u+LPp4+aBxqJnyZpYFlj0wXc1tfXZWzGEsznc/i+j3w+L+/DYEtdyI8aKs3XrCjMWIxisSiHH2MFbPuyw7smGr1nPws8L5rIWyXTCdrAFwIMnzB84ueNT/zMgpVlWRkAdhRFvYu//xGA/xnAHwH4HwD83sXv/+ejxprNZnjvvfdwcnIiG6+D0Gq1Gnq93pKvmmZU+tTpW2Utjn6/L0THn8FggPPzc/R6Pdy6dQuJxKL3EE3KGxsbACA1TEajEbLZLPb29mQD+v0+1tbWcPPmTaytraHT6Yg0zMVOp9NIpVJL6aokbp2dMp1OJauE5lv66DnX8XiMZDKJSqUiwYGTyUTMncyuGAwG6Ha7SKVSyOfzQpQ3btyQOVKiZy2Pfr+Pk5MT3L17F6lUCi+//DK+8pWvoFKp4E/+5E9Qq9VweHgoAYibm5tS/Zdpxjs7O0LIlmXhnXfeEZMu4xs0sVBjmkwmYi7OZrPY3t5GLpdDvV6Xgneu66JUKqFSqUjw4dnZmSA9A1gZ1MgKwm+//bZoGywCuLu7K6nOxAdmDOkYA8uy8JOf/ORzpwkDBr4IYPiE4RM/j3zi01isNgH82wtJ2AXwf0VR9KeWZf0VgH9jWdZvAjgA8BsfNVAQBBKYR6mQqZgELclrMx1NgjQv0t9uXdTk0L5aIly9Xpfxjo+PxZQMQPy3W1tbQgSZTEaexWA4prgS6UmcmUxGUmNZ24TEzPRXmqBJaGxNwCC57e1tCTikpMzNplm7WCyiUqmg0+mg3+9LdgiApYOCBfHG4zEGgwEmk4n4jIlwnueh0Wig0Wgs7QHfkUGAPDSuMknzp9Pp4OzsDMPhEMViUbQLAGJ2ti4q2HJfeZBwbQEIIeXzefi+j/F4LKZv9q8aDodyQFK7dF0XBwcHQkA8QFjll2OwnkoqlZL35dw+RUub50YTBgx8QcDwCcMnfu74xM8sWEVR9ADAV6/4vAHgVz7JWNQoKLFSomfhMJ06yTLzjuOIz3VtbU2uIYIyLVKbFOnPBS79461WC9FFt2rtq9V9phjkR4SZz+eYTCaS5cGsBZordUVfFifj+7A2CDUjmnTZJmFzc1PMzicnJ6J50JfuOA4qlYqkAVOKJvISYefzuSBKr9eTrJlsNispucViEUEQ4PT0FIeHh3j48CHeffddOUB4cJRKJWxsbMiak4iKxSImk4loFax4S5M0iZI1T3RQIpG5UCigUqkgm82i1WpJs09qiTS1E5FJPEzb5bpzPWzbxuHhIZrNJmzbFo1tb29PTLvcI5rZ+/2+4BqzVX4WeJ40YcDAFwEMnzB84ueRT6xM5XXdgZvSLZG9VCqJxhFFkRAH/cFMlQQgC14sFp+oscGFKhQKstmpVErMuePxGFtbWygWi2K2pPbCBeUm0S/N9glMR2VfovF4jGaziSBYFFHrdrviq2apfkrX29vbABZdzm/cuCG1RVh4jnOLogjb29soFovY2NgQTQWAEClTX/v9PlqtlmSvsH5KtVpd0qry+TwqlQpmsxkePnyIbDYryMgYgZ2dHRQKBdES9MHQ7/dlH7kHJP5KpYKNjQ0xZzNFdTQaSSE8mteDIMD9+/fRbreRSCSQyWQwGAzQaDTkf2aR0KRNbYam63w+j+l0ikajgaOjIwCQpqSTyUTaPVC7ZHZQv98XbY7BsQYMGFgtMHzC8InrwidWQrCaz+eSygosp6Fms1kUi0Xk83npTUSJmFVmKTlSK6AJj7VBstms1PvI5/Nigp3NZqhWq+h2u5IVAUB88PRls8bJYDBAu93GeDxGJpORQm0sMKYzOMbjMer1ukjkwHL1WlbQTafTuH37tmhVyWQSR0dHODo6EpMra3nQBMxUU5psgYW/nuP3ej2cnJzAdV1sbGxIwCOL5VFi53pTq+h2u7h//z6m06mYZovFIqrVKrLZrGhcNFMnk0np+ZRMJkW7WFtbQyaTkcOHBwuzKfhs7len00Gn08HBwYHEBegUXh5OrLTLeVDTJOJ3u92lbA0W0WNAqvaRk1h56Giz+HMoEGrAgIHnDIZPGD5xXfjESghWYRii0+ngG9/4hqS3UhOpVqvSlPL+/fu4e/eu1PVgy4EXXnhBKrOyLxGJqt1uS2n6/f19lEollEolpNNpDIdDlEol+L4Px3HE1MmeUNQwXnvtNUynU9y9exdvv/026vW6BCr6vi9SerPZRCqVEi2GC0+/Ln3tLD5GBOr1esjlchgOhzg/P8ebb74pvl9qN3t7e3BdF+vr65jP57h//z5OT08FeROJBKrVKsrlsgRLep6HarWKdDotpuT9/X3cv39fNCP6m3/pl35JtJYgCHB4eIhisSjEkEwm0Ww20Wq1lqrwUjshAVNDKRaLQjCWZeHk5ETqusxmM6RSKbTbbdRqNTx8+BCe52Fra0vGZHNP4LJnk06HBiCIPhqNpOVEGIaoVqu4deuWVE9m2wRquHwuicRxHOzt7cHzPNH8DBgwsFpg+IThE9eFT6yEYMVN2dzcFHMu00NLpZL4u6fTKQ4PD9Fut8Vc1263ZUGZlsmquZZlif/1+PhYFpDEQKk4mUwik8kgnU6j3W5LwbTxeCzpsUwPZYpsNpsVM6nneSIdcy7ajMqaIKlUSrQTmm1ZfI7mXwY4am0sl8vhtddek6JwNIkPBgOpWHt+fo79/X0xyTJwkhksrMzr+z7+8i//Et1uV3pQ8ZBiuirXhc+bTCbwff/KOincJwL/57WpVAq3bt1CEAT44IMPRPtgBWBgEUTpui729/exvr6OwWCAer0uwYq6TorjOFIxt16vS/Aj640EQSDZHZVKRdY1CAIUCgUxB7PWDWMBGH/xve99T7Q7AwYMrA4YPmH4xHXhEyshWOk6FawfwkXiojJVklI8AJEqj46O5DpKr6zwSuj3+2i328hms4iiSHyvrGLrOIuqtUdHR5LCyzHZvNFxHGxsbGBtbQ2VSkWCHC3LkjRf4DLbgmboYrGI9fV1JBIJnJ2dLWkPNLum02kkk0nMZjNsbm5K4Tv63vf395HJZHB+fo5arYZ+vy/P1N2+s9msdBIHIH2n0um0EA/n4HkeBoOB+PB56ERRhHK5LPvQ7/fhOJeNOcfjsSAVAwqp+fm+L9WPub5Mg61Wqzg9PZU6MQAEyalJ7e7uol6vy5ozAJWVbsvlshR0Y8E6EiY1u3w+j3K5jI2NDQwGgyXzLvHNtm2p41IqlVAul5FIJHB+fm4EKwMGVhAMnzB84rrwiZUQrCh1s56E7/uS9krf7GAwgOu64ovN5/MSpMbAOJpUWaSMwAC4Wq0mqaUsf7+5uSn+5Ewmg06ng16vBwBiHux2u1IxlpkYLMnPAMIoipZ8uqxiy2JkzF7Q3b/5zGKxKM/yPE9SijkuG19yDBaIYzwATcjj8Rjz+Vyq2rKZZBAEEn8wGAwkEDCXy0kK82QykXVKp9OoVCpSNff09FQOKrYn4Jrv7OzIYUDpnjVjUqkU1tfX5YDY2NjA1taWPINEDSziCXZ2drC1tSXBizwY6Tvv9/vY2tpCtVrF1taWBEUy64baCHs5dbtdNBoNnJycCFGzzsl4PMbm5qbsDWu2zGazJ7QrAwYMfP5g+IThE9eFT6yMYEU/KLCoXDsej3F2dobz83NpOGlZFiqVimgP1AJYg4OmVQASnMg6Go7j4PHjxzg7O0M+n5dFZ8osA9U00XFcdj6n9MpsBgYish4Km1jqQnAcjz5zZp4Al6Ztblg2m0UikXiiaJ1lWZLFQn8+/c80g0ZRhPPzc0ynU8mcqdfrQgRcB9d1pUGl4zhotVpL7+d5HtbX15HP51Gr1dDtdqWoHKV0Zm64risF3tgmgibh2WwmSHj//n00Gg00m00J4mTaMuut5PN57O3tIZfLCYG+99570vSU73Pz5k2p7Lu7u7uER9RWGo0Gjo+PMRqNcH5+jpOTExQKBdGgGo2GaHKDwUDM1dp8bcCAgdUCwycMn7gufGIlBKtkMom9vT2cnp6KuZPNEc/OzqRgGgDcuXMHw+EQ3W4XURQtBQHSTExN5vT0FA8ePMDh4SFGoxGq1aqk3rIPVLVaRaFQQKfTwQcffICHDx+iVCqJCZKLnkgkUKlUUCwWxdfuuq4Ul6OUDkCyPzY2NsT/XKvV0Ol00G63JeCQPn4AaLfbUgBuPp9LDZEoitDr9XB+fi5++1wuh/39fezs7Eig4MnJCVqt1lLmgmVZeP3110VS73Q6SKVSeP3116X3FA8dakf0ves+TTSPswgdtYZ0Oo233noLzWYTX/rSl1AqlZZaP5D4/+AP/gCTyURaK7DhZrfbhed5+PrXv4433nhDggs7nQ7W19fx05/+FPV6HS+88IIQ5FtvvSWZP6x2TCJmP69arYaf/vSnslcMOG02m1KRGQBqtRrq9Tree+89OVh4MBswYGC1wPAJwyeuC59YCcHK8zwxKZ6cnIjJl/5dStH05bIRJouMcXMYZJdOp6VC7KNHj3B6eoqtrS1885vfBABZYPps+QwGHQKXRdq63S62trYk64I+9tFoJHVOUqkUer2eBBeS2BiUyCJv/X5ffLjUPEiE5+fnODs7kzoixWJRel7R189eUcDCxMzgSWofbB7peR7CMFzSzBgkSO1gMBiIv7tUKkmmBAAxr9u2LfNjBgywkNQZ4PfWW29hPB5LwCf7LXH/zs/PEUXRUuAgi8Vx/UulEnZ2dnDv3j08fvxYAiTz+bzsAVs9AJD6Kcx+6XQ6UgMFWGh42uTOddKd7FOplGhUem0nk8mnbcJswICBzwAMnzB84rrwiZUQrJg9QRNlp9ORIDkSD//WTRUptbOY29ramkTt12o1NBoN1Go1RFGEnZ0dvPbaa2i32/jggw/EtMiFpt+ZNUAYjDefz/Hqq69ic3MTQRBII0oAEkA5m81wfHyM4XAopfX1JtCETULnb5pVS6USut0uWq0WDg4O4HmeBBLSPM0AvMlkguFwKJkcTGflcyh9s0dTt9uVnlQ0Yx4dHWE4HGJtbQ3r6+vIZrM4PT0VaX40GuHRo0fIZDLY3t5GuVzGZDKR7BcAYg63LEsC/5hRwUyZer2OwWAgGoplWWg0GnIQcI9Zr6RWq+H+/fuwbRt37tzBnTt3cP/+ffT7fYmpSCQSspaZTAa7u7soFot48OAB2u32UlFA1onRVZWjKILnedKugfjEOAUGwxowYGC1wPAJwyeuC59YCcGKkmOr1ZLqs8Bl5VYGkzH1lT7QbreLIAhw48YNbG1tYXt7G77vS18lFmnb2NjA3t4eSqWSbBiDz4bDISaTiRSeY+AcxxkOh9jb28POzo4E49EvT+Rvt9totVoAIGZQBvExJZVxATQlUqOgZE7NiJ3biXz0T7O6LHtYdTodfOtb30IqlcLNmzelCFuxWEQul0Oz2cR8Pke9Xkcul8PW1hY8b9Hr6W//9m+lgNza2ppkaLBxaBRFeP/996WWy9ramtSIYVYJ2xmUSiVJbe33+0uHENOB19bWljqSs6Af+0+12208fPhQDkRqKd/4xjcQhiFOT0/RarXEHM51c10X5XIZt2/fRqPRwMHBAWzbxhtvvAHf93F+fi5ZM4wLoEmexKGLwTElmcRlwICB1QHDJwyfuC58YiUEKy7448ePkc/nJXWSRcZ83wewnHLJrIx0Oo39/X18+ctfFm2GPvN2u418Po8bN24gm83i3r17OD4+Fik/n8/j9PRUfNbJZBKvvvoqXnzxRZFu33//fWkW2Ww2cXBwgOFwiJdffhmz2Qx3797F+++/jzfeeEOCHAeDAVqtlmhCo9FIKr/Sdzufz6WK7+npqfSsyuVy6HQ6S3U+GITIg4MEWq1W8aUvfQn7+/tIJBL40Y9+hMePH0trgk6ng729Pdy+fRt37tzBfD7HwcEB6vU67ty5I40pqTWVSiVsb29Lei0LwDEwkI0tGVwZBIFUA2YPJ9ZYYc8pBk0CEEIpl8uiXbbbbfzN3/wN7t69i9/8zd/EL//yL0sa88bGBnzfx3e/+128++67S/VZBoOBaAy//du/LZWMP/jgA/zar/0ayuUy7t27h+9///t49913JeOFBzCwqAzMfaE5PgxDqUxswICB1QHDJwyfuC58YiUEK5ongUUtEJblJ3DhWQp/Pp/Dtm2pqptKpaSIGqVPYGGCZfBgvV5fMlMya4O+ctd1JTuE/ZuYTstsh3q9jlarBc/zUCgUpAXAeDzG3t6eBCGSIGu1mgTZsQYKezkxA4PmSz6/UChgfX0d5XJ5SYNh4KDneVLplhpLEAQYDod48OABBoPBUk0O1ujodrsikW9vb6NQKCAMQzSbTWmG6fu+jMcqxfT981nD4VAOK/rQGXvARpiDwUD82NQ2AEhcgS74xnYLHHNnZ0fWnIfY+vq61FShNsoKvnfv3sW9e/ewsbGBr3/967KW2WwW29vb0lKC2Tv8nmZ3XagPwFJqrwEDBlYHDJ8wfOK68ImVEKyIdIVCQTQD27ZlcS3LkjoeLM7F2hrZbBaWZYkUrPs4bW5uCiHqJpC+7yOTyUjzTRLndDrFycmJpFMycM/3fXQ6HTEXsgorAJFkbdsW6ZxITXNyv9+XFFtuEgAhXhI/a3jcunULjuMIkZM4PM/D7u4u1tbWJM11NBqh0+mg3+9LmwWdknx6eirIkEwmRSLnIfPo0SMp/EbTtOd5uH37NubzOXK5HHzfF4Jl9ge7r7NyMXtz0VwPXPZasixL1pStDKhRjUYjCfak+ZyxANwzdh1nV/lUKgXXdZHP59FsNvHuu+8im83i9u3bol3SB85ASda+YcwCAKllwvmGYSgmdgMGDKwWGD5h+MR14RMrIVhRIk2n0+KbTaVSUiQsiiLkcjkUCgWpP8HgMyIzN4RtDWjOAyDZEJPJBIlEQgLSaD7mM+r1Og4PDwXJWJ2W3bApqdOfTc1hc3NTmmCGYShIwQq09IvrlgoMxKOWNRqNJLW2UqlIG4JEIoFut4uDgwMUCgXs7e3h61//OjY3N/Gf/tN/ksakYRii0WhgPp/LO81mM7TbbTFfspkkm2s2m03UajXJmmAwIQDs7u6Kf5rZLQDEvMrsEGaMZDIZlMtlyfYgMQCQvlI6DXhjYwOuu+juzhgF1jbhAcRAx1wuh2q1KhkobCvBdx4MBjg/P8dLL72EYrGIH/zgB1I92fd9VCoVqSHDujEMpoyiCIlEAqPRSIrNGauVAQOrB4ZPGD5xXfjESghWTFllJD4AKTfPDWOvIla3ZWNLy7JQq9UALCTtfD4vmRCsN0GJdjAYSCPNKIqkfxB9svw9m82QTCYlKM/zvKXiYLw3lUpJ9dnDw0OR0kkoevPZBZ2ZBxwPuMxaYdYLa53w8Oj1erh//z7u3LmDQqGAV155BTdv3sR7772H4XCITCYj/mxWJqb2wd9EShLUYDBArVZDr9fD2tqarDXXG8BSto0Oomy32/jwww+lQnA6ncadO3ewubmJvb09qWXCflY04TcaDdTrdVSrVezs7EhKNANRqX3wc7YrYJ2W6XSKdDotqdIsutdut6XyL7WT6XSKQqGA+Xwuh6gm3Nlshvl8jq2tLayvr2M4HMp6mHILBgysHhg+YfjEdeETKyFYJRIJlMtl6Y5N02e/30cqlUKhUEC1WkWlUpEy/gz001IkFyKVSom0zWwOz/OwtrYGYCFNdzodfPjhh9LlO5lMIgxDvPDCC1JUjMFzP/3pT/H48WOcnJwAWPQ9Ojk5wXw+l1TZl19+WWqAcFPu3LkjbRZY9K3RaIhfGVggJZG51+uhVquJJsR39n0fJycn2N7elrTRILjsI5VIJKR+i+M4Usbfsiy8+OKLQvTUiD744AP0ej3MZjOsr6+jUqkgmUzKWjGgkWZR9kgKggBnZ2f44IMPcHBwIBkVlUoFN2/eRKFQwO3bt6UIXRQtOoV/5StfwXQ6xQ9+8AP88Ic/hOM4+PVf/3XZJzY8PTs7wzvvvCOm5t3dXelkzpRbpjbThM14hMePH+N73/veUpsKmmtHo5FoHSTk4XCI3/md38FLL72Ex48f4+2330YULXpfHR8f/z1TgAEDBj4KDJ8wfOK68ImVEKwYrMa6Ea1WSyTDSqUiG06/ablcln5DzICIS4+U4ints1s1JVrW2RiPx2g0GgiCRXsB3ambqagnJydL/vz19XUAnZ6EhgAAIABJREFUkDL+lmUhn88vBVd6noe9vT0kEgnJOmF3cKaX0kc7GAzEf86MCkrIxWIRlmXh9u3b0jTz0aNHCIIABwcHkvrKQEnWO2GTUXZ3z2QyCMNQpHbth2YHcWph8/lc2hfQr840WjayJFEOh0PMZjPU63WcnJygWq3i4OAABwcHOD09RSqVwvb2NmazGQqFgmTqHB4eolwuI51OSxG54+Nj0V6m0yleeeWVpead0+lUKvGyQBvrmjSbTYl1oG99Pp9L53odCElt59VXX0W5XMbJyYkEU37lK19BJpP5jDHegAEDnxQMnzB84rrwiZUQrIhkrFnh+z5qtZoUZ2OdjuFwKEXDAMiiTSaTJVMeAJHUWT2VwYU0gXKxgyCQLtkAxPQYBIFkL3Q6HfHhsoWA53nSU8m2bZyfn8um0P+8vb0tY7muu2QuJuGORiORqhlId3x8LJktDPy7efMmPM9Dq9XC97//ffT7fRwdHSEMF526WZeEvmwGGbKWC4l1Pp+LqZemZ97nOI4QDAmI5moGPiYSCdy6dQvAovnovXv3pJP6o0ePkMvl8OjRIxweHkrwKGuDFItF7O3twXVddDodIVQAojGwNxTnwG7ufJd6vS4ZMwxmrdVqQmSe56Hf70t2ENeDhxP3jXvGg5LxDi+99NJSppEBAwZWAwyfMHziuvCJlRCsGGWfy+WQTCZRKBRECt7e3kY+n5eFoV95PB6LRA0sfMS5XA4AZKNJQCQM3d+HBMTicMxyoFZAPzlNx8DCb9zv9yUIj+bnZDKJRqMh78JO648ePRJzIhGGqbYsQMZUXVanZXAji6fxwMhms+h0Ojg4OMCDBw/QaDTEREoTL7MkgMvDpN1uy1x1xgbNw/zO8zxpRUACD4JAWiE0m02MRiPRjth76+zsTCT7VquFH/3oR2g2m+h2u4KsDDjM5/N48cUXpQ4IADk4aLqneZeZO6xzAkAak/JwpNZGYuH6syUDxyfB8r2YqfPWW29hY2MD0+miI/zu7i4qlcpnheYGDBj4FGD4hOET14VPrIRgNZ/P0Wg08ODBA5E+q9UqXnrpJezs7KBWq+G9996TImz7+/vY3t4WbSGTyWB9fR1BEEgq6dramlR9pen25s2baDabOD4+liaXQRAgnU7jxo0bKJfL0rRTF1ljVdzBYCA+8zt37uCb3/wmXn/9dWSzWbz11lvSVmB7exuu6+KHP/whfvKTn0jQZLFYxK/8yq9gd3dXOoOnUik8fvxYiMRxHOzt7YkG4HkeNjc3pWz/22+/jXfeeQdBEKBarQqyMahQF4xjCi5rt9Dc+9WvfhXn5+dCAJubm9Js9OjoSKoRsxcTK/OWSiXs7u7ilVdeQS6Xk/164403cOPGDaRSKfzxH/+xvMOLL76ISqWC09NTzGYz+L6Pl19+GalUCj/+8Y+lK3oymYRt26hWq3jw4AHOzs7ET/7o0SNpmjmZTKTJKN0ByWQSb7zxhmipJLbxeCwEyCDTVColJu3xeIxOp4NisSiBjozboGZowICB1QHDJwyfuC58YiUEK74UzXs0NbJQFwP16FNnUS8GmlUqFXieh9PTU/GflstltNttKY3POhWsXNtoNMSETHPoYDAQqd/zPBwcHKDRaIg/FoAsKM3CzFBhd2wirO/7S5WAWeuj2+3i4cOHODo6Eon+3XfflWJ19HPr8ViBN5vNYn19XbITKOknk0kxBdu2LXVBqJ3QtEtNLJvNYj6fS1VhAOLPpw+fZf2ZrRKGoWgsLJDXaDSkseb29rZoJ6zTwswWBnOur68v1XY5OzsT8zT92GxZwBomnU5HtEMAkj7NsXltKpUSUzAblPIaViVOp9MYj8eSPp3P5yXVlppKrVYz5RYMGFhBMHzC8InrwidWQrCiH5T+Uf7NjaFpl5H+uVxOmkjqQELeyw2kmTIIFv2UyuWymE3p92ZFWPqHX3vtNdy6dUtqm/T7fTiOg0KhIIGOs9kM7733Hj744AOsr6/j1q1bki3BgEff91EsFlEoFNDv9+G6Lvb29uD7PhqNhnQ4ZwE7IiR7ETFDhYRRq9UwHo+RTqexsbGBXq8n2THUMHT9FP7Yti0ZKCRK9r9KJpPSyLPVamE8HiOZTGJ3d3eJGHmYsBoti9m1222JTcjlckin0ygWi9L1nFpDrVaTdFhK/YlEAoeHh+h2u6hUKvja176GQqGAVCqFYrGISqUiWTDD4VDM0dVq9YkASvr96SMfDAZi3mclXcYt0LxNLYX3UgNl3y4DBgysFhg+YfjEdeETKyNYTadTSdukH7TdbuPo6EhMlPRxt9vtJR82K8+yGFkikcDa2pqYXOm7ZjCa7/tiEr1165ZklrTbbUwmEySTSZTLZezu7krqaalUWsrm6HQ6aDQa+Ou//mv0+33pscRaKNyYcrksiLezs4N8Po96vS5dzkulEl577TXJBnEcR8zKjBNgt3LHcTCfz6WoHfsrUWthg0zGBTiOI9koPCBYD4SSPd+nVqvBsixJ3a1Wq3LgsNUB7yFS8bBiMKXjOOKLnk6naDQaEg9Aotvc3MTa2ppUGJ7NZmKKtywLlUpFKij3ej0JhuT+vfLKKwAg78pARB6M1KboI0+n08hms9IElAXx6JdniwQWmWOTVQMGDKwWGD5h+MR14RMrI1gBC7MoF5LAjAv2LwrDEIeHh8jlciiVSpjNZpLm2ul0pK4JK/Tu7OxI88yzszNZkHw+j62tLbz++uvodDo4OjrC0dGRSNj5fB6+72N7exvn5+cicRP59/b2MBwOpYHm7du3pZP5ZDLBaDTCbDZb6oK+vr4Ox3GkSByD66rVKra3t8U/PBqNMB6PMZvNloIkWehua2sLlmWJtE3NhUQfhqGYaYnkDEIEIFkQJGrWHaEmQa2JKb/1eh0AxDff6/XEv84MDfbXWl9fx3g8RrvdFrOqDib0PE8yK5geu7GxIfEJN27cwNraGrrdrtRRYYBiOp2GZVlSfI4pvel0WrQsalhMJaabgOvBIE4GUd6/f1+ycwDIvhkwYGC1wPAJwyeuC59YCcEqmUzi1q1bODg4QDKZBABp5shS8tQMaPaklM56Hd1uV0zD3W4XqVQK+/v7SKfTaLVaeP/99zEYDMQ3vb29jf39feTzeSnlXygU0Ov1MBwOcXBwAMdxMJlM8PDhQwAQbYEBbCyGRv/25uYmCoWCEC/9/7pHFBHky1/+Mvr9PrLZrGQtsJkltRoWstMNIHm4sJXCeDxGt9vF6empEG8YhtJ0lO0dKIFzXfksXZvkww8/lKDN119/XWrFkGB+8Rd/EZubmzg5OcG9e/fwgx/8QMzXNMuWSiUpoJbJZKSTPOMhWFdme3tbsmlKpZL47Hd2dnB2doYf//jH6PV6khJME/X3v/99IVLP83Djxg1sbW0BWPj/h8Mhtra2sLGxIQTGrBpm21SrVezt7eEv/uIv8ODBA8FB13WF8A0YMLBaYPiE4RPXhU+shGDFDA8GyzELg98xQn9jYwPZbBaTyUQ2n4GIRCAAUuY+k8kgk8mg3W6j1WpJVdp8Pi9mUmZVMI0zl8vJwukKuazcSwSln55IwDTaIAhEm6HZkX2OAIjfWLcGIOIw1bZSqYjJloQURZE0gwyCRVsFSuiU9HUgYDabRbFYhO/7ggDarGtZlqw5ADGtU6M5PDyUeij1eh2O46DT6SCdTktaK9sgjMdj9Ho9CXCkyZXf8W++g66Gy2tIAEwJZh0ZPofm7bOzM8GbdDqN6XSKer0u7RMajYZU4aUvnebxRCKBdDot9Wo8z1tKw3ZdVwI8DRgwsFpg+IThE9eFT6yEYAVAXkATChcql8tha2sLW1tbyOVyEnjW7XZxcnICy7KwtraGra0tJJPJJbOg7ritfd+sEcJ6IAwUZKd0ANKMUXfa7vV6aLVaktEwm80wHo9xdHQkUjb9ujTjkmB83xdkYWNOmm85FomB1X/po46iaInwGAfAWi28j6bffD4vWojneZLRQEJn3ROW7ifBOs6i8zibcpIQR6MR3n//fTQaDSFkxgUkEgkMh0Ppz8U9ZGG7MAzl+fycPm7uUxRF6Pf7Us1WxzoQGLxJxGc2TafTkSq77APGisLs1UVTL+uasLAecWA+n0ssghGsDBhYTTB8wvCJ68AnVkKwmk6nOD4+lo1n1+1EIiEl7lkx1vd9nJ2dYTAYSCAbiWl/fx+pVAqNRgMHBwdLKZss0EaTahAEslmj0QjtdltSdUm83JBKpYKNjQ2pfnt6eirmR87/4OBAUnInk8mSX1qbVIFL33U+n5dsjPl8LkRxcnIijUGJXJZlyfqk02npKE6CpRbC9F09l2w2K1oc35txB48ePUK9XsdwOITv+yLB89DgWsxmM9y/fx+JREIOnlKpJCnH7GTOruUM5mTNFWakMICSaa/sWM/3Zs0WajXaj00Ni3Mi8KBgdgiBZmO2aRgOhzg7O8PGxgYKhQLS6bQcwNTy+N4GDBhYLTB8wvCJ68InVkKwmkwmuHv3rphdM5mMZGuMRiNks1kUCgXpbv13f/d3mM1mEs3/6quvYmNjA5VKRcx0RGjP8xBFkTRcJFIAkJL9NJOyNgW1n0KhgEKhgPX1dZFseR97I9Ek2Gw20ev1JKOCJkX6vVnfhHUxKAXbti2aDTMfSEDUAvgeACTtk+vW6XTEREwETafTiKJI6nRUKhVpoMngvq2tLfGTs/owYwNoWuVhwjlwvFwuh7W1NaRSKWnjQGRNJpNS6ZhEzMNHS/+lUgnNZlMySqgRUqNiMCPHYM0VBiVSu7EsC/v7+5hOp1ILpdFoiLbCgEQ2N+UaMU2Z+8pDh+ZrAwYMrBYYPmH4xHXhEyshWDmOg/Pzc9l0IgSzFphe67ouer0eTk5OxL9aqVRw69YtCVY8OTlBs9mU7+nTXl9fx87ODmazGbrdrjTULJVKstjlclmaShYKBZRKJeTzeZyenuLg4ADtdluKlemMCQASREityfMWvZ7Y3HE6naLb7UrX8Ww2K+mnRFb6wLUGRS2E/l5KzUQOHTfA+i3MXmm323jppZcAAAcHBzg8PMRsNsOv/uqvIpFIYHt7G57nia9+fX0d6XQaZ2dn+KM/+iOcn5/Dtm1J2WWmxv7+PnZ3d5FKpfDw4UMMBgNZE/5NbYEZLL1eTwiBP6yDMhqNkEgkUKlURLNqNBpotVqSIUKtsN/vS7E9xiB8+9vfRqfTwePHj/HWW2/hu9/9LtrttjQrdV1XUpMTiQQePnwoh/Da2prUx9G1TgwYMLBaYPiE4RPXhU+shGBlWRaKxaIE6rHYFwBJaWUGBwBJR2VFWlbibbVaOD09RafTkQwLnSHheR56vZ6Uw/d9Hzs7O9LAsVwuC4Fxc6fTqTRvHAwGGAwGsomauCkt53I56cadz+cxnU7R7/fRbDZFqqZETS1I92ZiMB5TdllMzvM80bJo9nXdRd8rjrW+vo5sNotGo4HpdCppuEdHR7KWvu/LfHK5HLLZLDY3N8UsTD842wdQI2IzTgZO0m9OMzX3cTQayTyZtkskHwwG4nuvVCooFosi/dNszLgHPpMp1NRYSqWS+M1pCmYGC03Z7PSuG5fqv/k/O7HzoGHxPSNYGTCwemD4hOET14VPfKRgZVnWvwDwTwDUoih67eKzEoB/DeAFAI8A/NMoilrWIprrfwHw3wIYAvgfoyh662M8A9VqFcViUYp9ESkocWezWeRyOYxGI9FOksmklMwnAhNxiXwAxBQ7Ho9xeHiIe/fuodVqYW9vT3oDua4rKbWUWAGIGRS4bNpJBKG/FYAUlGO5/kKhIH2qWq2WVKLlvfQvs/orN46ZCdw0mjn5zgyw6/f7sG1bCCsMQ8leoR+Za8IAQ6YAM6WXRMiaKySOKIqkCebJyYmkK7N2Ceem4wIYXEkfPDURBlFSc6BWxgBBNkm1bVvSdQGICZatFdgHqlQqoVKpSCxEMpnEvXv3RCvMZDK4efMm2u22aEVs/UDipIm+1+vJmrP+DbXHz5smDBi4TmD4hOEThk9cwsexWP1LAP8rgP9Dffa7AP5DFEW/Z1nW7178/88B/CqAOxc/3wLwv138fibYto2dnR3JIqA/lmZUpk5S6qWkDFxW461UKlIf5PDwEB9++KEgHiXU2WyGRqOBTqcDz/NQKpUkg4MbT4TQQW7sSxUEgUjjAER6tW1bJHcAQqj8nC0OdBsCEiSlYS15swu3DtIkchJ4DdNlmZnB2h2DwUD81TRzstS/7/tS/ddxFlV3+T4ktNu3b2M2m8naaCIeDoc4Pz+XlGEeGoPBAOfn51hbW5MYguFwKPVKtre3xUwdhqH0YgqCRZPU+/fvIwgCbGxsIJ/PY3d3d6mCMA+DVColsQCj0Qg/+tGPJD4hkUgsaTis1KxTZyeTCbrdrrRS4F5xj7l/nydNGDBwzeBfwvAJwycMnwDw/7f3ZTGSXed536l939eu7pme1UMqkG2aFAQTlm0ESGIjgOKHwPaLjcCI8mAjL8mDHT/YLwaSIE6AIIEBGTFsB4gFPziwEDjIJgQGxIiOBEsiGQ41w54Zstfat67uWm8eqr+//7qs5gyp1nQVeT6gMT3Vt+4995z/P+ff/2cQrBzH+UtjzLbr4y8C+Kmz3/8IwP/GnGG+COCPnblN9RvGmJQxpuw4zsHTntPv97G3tyeBgpSQvd556X76XpnhwBdkwOFnP/tZ/PRP/zTa7Tb+7M/+DK+99poU+PJ4PEin01Jo7eWXX5aKud/73vcWqs4ym4CEyz5BlIKTySSMMdKbSfdRos94MBhIHyRqLwDEfEofLYMNmdZKf3ooFEKn00Gr1UKr1ZLguZOTE8l0YYE6bcJm9/N+vy9l/+/cuSNMShMmTdXUeuLxOAKBAI6OjtDpdCSAk9V58/k8gsGgBG4yJZi1XYB5sCWZlZV4u90u2u024vE4Njc3UalUMJ1Osbu7i9dffx3JZBLb29vIZDJ4//335dpCoYC7d+8iFothMBgglUphMBjgwYMHqFarEizKQMadnR3xjUejUak4zHiFVquF7e1tKQgXjUZxcHCAr33ta9KwlIxbLBaf6gp8XjxhYbEusOeEPSfsOXGOjxtjVSQTOI5zYIwpnH1eAfC+um737LMPZRgWcCPBMtuACIfDyGazUm/j3XffBQCRHEkMulkimzR6PB7JKqAfmkR9dHQktU1YP0M3ZSQDTKdTBINBFItFbGxsSCl+mp0jkYiYprvdrphraSqkmVP7gKnxkKESiQTS6fRCiihNngxcJGNWq1U0Gg30ej3ZPMLhMHZ3d6WQGc2ffA8A0vAyHo/LeJLJJKLRqNQXGQwGknLKpqZkGAYGkum5dnxHn88npnqPxyOaFFOUd3d3hWF2d3cxGo0kXoJBklw3xhNQe2w2m9IlnjVikskkZrOZaGmsvcKGqeFwWGq6UBPh5sHNgrVMWCulUqmIlvsRcak8YWHxCYA9J+w5IWvHd/w0nBOXHby+zOnoLL3QmC8B+BIwX1wuDIP2dGBaKpXC5uYmtra2MJ1OcXBwICZZmgx7vR729/cxm80QCATwuc99DpVKBQCkX9DOzg4ajYYQar/fx9bWFhKJBPx+P0Kh0EKjSJpHSfCssQFApGEyDP3UrVYLzWYTAFCpVMT0yr5UhUJBtB36mgeDgdwvFotJmwMAwgw04wJzqX8wGGB/f18yUyi1z2YziQegRsXgxKOjIzQaDZTLZfGbA3MNqV6vYzgcSkf4Xq+H09PThd5bOnuFnzMrhXEDW1tbUhkZmDNSo9HAYDBArVbDdDpFtVpFvV6H4ziIRqNiViWhTyYT1Ot11Ot1tNtt8XMzqFIzLNeNAafUsgKBANLptKRMk7aAudY7GAwQjUaRSCQQj8cl64TxAZeIj8UTIUQucwwWFqsEe07Yc+ITfU583BPkiKZbY0wZQPXs810AW+q6TQD7y27gOM6XAXwZACKRiNPv95FMJuH1zivpsnIqMK+Hkc/nsbW1Ba/XizfeeENSblmNtVqt4p133pGaIK+++iqKxSKazSZ2dnbQ7/exu7uLR48eSToo/d2UYrV/mpkl1FpYc6Pf74uWwbFS+6EWEY1GhdB9Ph/6/T46nQ6GwyHu3buHWCwmxebYIoH+aWobZNpQKCT+cS5uu93Gzs6O1HIBIMXmOC5gTqzMMmm322g2m9Lpm2Z0Zq7oXlP0+ZdKJalZQj+41qA4T6FQSBjtxo0bkk57cnIiXdMZFEiN7eTkBNVqVaR+ZrGwbUQwGES9Xke/3xdtQqccFwoFxONx9Ho9xONxuY6d5xnImUqlEIlEkM1mJbuGWR+pVAq5XE7MujSd66yQq+KJhMksPWgsLNYI9pyw54TM06fpnPi4gtVXAfwygH9+9u+fq89/zRjzFcyDETvP4jdneX0uGH3irEOhpX6/34979+6h3W6jVqtJICNrddAU+sorryAYDEqAI33bwDy4cWtrS7paM1WTgXrBYBDpdBrBYFAq19Ls2W63hWF08bbJZN6BPJfLIRqNStrtdDqVHkWss0Eth4Q3Ho9FIwmHw5hO58XP2MSTptVUKoVUKoVGoyESM82vzGyg35raGWt/nJ6eIhAISA0SBgaS8JlyTO0lnU7j3r17og22Wi0Mh0OJWQCwMM58Po90Oi0Vddl2gQzHFhBkiOl0XiyuVqvBcRxEIhHp56XrtTDugGbgbDaLa9euoVKpCHPH43EcHh7KO5AJaVKnf/zk5EToZDweI5FIIJFIiO+82+3iW9/6lgRpXiVPWFh8AmDPCXtOfCrPiWcpt/AnmAcg5owxuwB+64xR/tQY8ysA3gPw988u/wvMU2gfYp5G+w+edn9gLoVub2+jWCzi1q1bCIfDqNVq4tsulUrw+Xw4ODiA3+/Hiy++iHq9LmbLg4MDvP/++0K8W1tbePnll/Ho0SO88cYbePjwISaTCX7oh34IP/mTP4kXXngBN27cgM/nw/379yWYbm9vD3t7ewAgqbg+37wjN4mOgX1PnjxBrVaDz+dDJBJBoVAQ/7fjOJINEYvF5G/T6VTqgpCxo9GomCU7nQ78fv+CtE7puNPpoNfryZzFYjG0220JjhyNRhJcSUYhk/Adbt26hR/90R+V8e/t7aHX6+Ho6EjaOBhjQK2wVCrJZpLL5XDt2jUxHXe7XVSrVWSzWdy4cQOZTEbM3NycmDWRSqVwenqK+/fv4+DgAOPxGJlMRrSRWq0mZmlqUrPZDNFoVIIFqZ1Np1McHR1JX7DNzU2ppsz02VQqhWaziffffx8PHjxANBqVQEuuLeMwmF1EOqSmdtU8YWGxTrDnhD0n7DlxjmfJCvzFC/70N5dc6wD41afd0w1z1kE7kUhI8CGl1sFgsFAkjSmurCtBHyq1F6Z41mo1qXNCn282m8X29rZUtQ0EArh9+7YQMjM8aO4dj8cIBoMol8uSPcDaGsFgEIPBQLIrWNvD7/ejVqthb28P2WwW2WwWhUJBMhNo6mTxtePjY3i9XtGmhsMhjo6OxN9PU6zH45HCaQ8ePEC9XhefOJtQ0hRLXzRTSdngMxgMolAoiNTNhpRsB6FTTZvNppilqSmyuSnXjAzM7zDmwefzSQovC/I1m02pkOv3+xcq2DI1mRV+z2gJ3W5X7s8YhlqtJuZoY4yYlovFIjweDwqFgsxts9nE4eEh/H6/FPRjSm0mk8GtW7eEARkYys3xqnnCwmKdYM8Je07Yc+IcK1F5HYCkg3Lx+H/27gHmkxgMBsXnywyMYDCIeDwuQX5erxe1Wk3SZ40x0vuI5lI2dCQBTKdT8Vtrc2k4HBaCJDOFQiGkUimpjcLy+sfHx5jNZqjVauj1eshms0ilUsjn82K6ZJXedruNRqOBRqOBZDIp39c1VFhMjmm1/X4fBwcH2N3dFUZh6wL2V6KPmVktHD9NrX6/H51ORyoDTybzDvDxeHzhGnaFr9VqEujJ4mvcPFicjVkxvDfTemnCfvDggdRkYVwBmTUUCiGTyaBUKuHu3bsIBAISa9DtdsXszEDBdruNdruN3d1dpFIpbG9vA5hn53AtGVfBbvTU0Jiazaq9N2/eFG2o0WgILT1NsLKwsLga2HPCnhPrcE6shGDF+h8MtqNvlRN3cHCAk5MTMQMyRZImRzZTZGPK4XCIwWCAbDYrJkAyXqvVWqhtUqlUYIxBvV7/wGJnMhnRWpieSl9zsViUSradTkekePp6mdFBSZ+1TJhRApz3jQLmmwHHDUCKtbEZ6P7+vlTgJXMT9O9PJhOR0HVXbgY3xuNxjEYjHB4eYmdnR5hBdzqPRCIIh8NiXh2Px2i32/B65z2iWOWWGpjX612oLMx6JXyv8XiMZrMpmwwzQdh1nibwW7du4d69exiNRtjd3RXNgR3sOVfhcBiO42A2m0kGiNfrleam5qzlgd/vl0q8umAe514XyWu32xIQyRRgCwuL1YI9J+w5sS7nxEoIVuwr9O6776LT6UjrAdbgYLAgJeFoNCpNHiuVCg4O5nGPrD3R7Xal1giv9Xq92N/fR7/flwaZAERyPzw8lBopJKDt7W3cuXMHuVxOCq7xfpR6WdxMS8t+vx8ej0d86Cy3T1MtMPfTJpNJCZrj36j9kKHpj378+PEHWhOQuelbZlaK1+tFuVzG7du3pYbHZDKRFNRGo4EnT57g8PBQqtoGg0GZW6/Xi2g0ilwuh0ajgW63K0GMzLxgcCbbJjDFFTgPcGSBPMdxEAqFkM/nxWe+t7cHn8+HYrGI27dv4/bt28hkMqhWq+j1ejg8PFxoacA5I5iFc3h4KH78VqsFr9crfaC2trZEU/J4PGIaJr1R26X2NxwOUSgULrvcgoWFxSXAnhP2nFiXc2IlTpBQKIQf+7EfAwBhkkajgVqtht3dXTFVshkkX/LatWsol8vIZrNSURWA+IqHw6Fkb0ynU3z961/H/v6+NMFkLRBgTvg0q+ZyObzwwgtDhasSAAAgAElEQVR45ZVXcPPmTXi98z5UZIxAIICHDx+iWq1Kk0YWWksmkwAg0m2325XMlXK5LO0Wer2eSP6FQkF8y/1+X3zGDIR0HEdMy/Tp029Nn/V0OhWN6N69e3jppZewvb0tEj/TWmkipS+fWlIymUQikUA4HBbtZGNjA8FgEJlMBs1mE8PhUDadarUqz3zrrbdQr9clzZnpvAzqNMagWCziJ37iJ7C9vY1OpyOpq6VSCbdv30YikUCr1cI777yD1157Dd/73vfw4osvShwDYwIASIG3Xq+HWq0mAZH8G7WXa9eu4caNGwgEAuh0OpJGHAqFkE6nkclkkE6nEY/HpSHprVu3Pm6BUAsLix8g7Dlhz4l1OSdWQrCiWfLFF19Et9vF/v4+dnZ28OTJE5ycnEhdjlgsJhVyKamzqeTR0REcxxGpnmm5xhhp8liv16WeBQPhdKAjtQmaVgOBADwejxAYnzcajdBqtSQ1ln5nahOsNcKCcH6/H8YYjMdj1Go11Go1HBwcSBG6YDAoJlP6pJl94fP5MBwOF+qC0GwcjUal0/h0OpVqtuwo7vF4JGOEfnluFpVKBbPZTBiBAZfD4RCtVgvT6RTxeFwC+IbDIR49eiRj8Pl8yOVySKfTwmAM8KPfnoXdKpUKrl27hlwuh2AwCK/Xi2KxKMGoNJ8fHx9Lzy2dXszmnVyfQCAAx3EwmUwkriKTySAej2M4HMpmwkrIbMXA3leMb4hGo9jc3MTNmzdRKBQwGAxEa7WwsFgt2HPCnhPAepwTKyFY0XTIGiShUAjHx8d48uQJ0uk0NjY2UC6XJeiu1Wrh9PRU0lpjsZiYeTOZjNTfACDNLVlBNRCYN9VkVgkLvAHnQXQkNGoeT548kWBHHdgYDAal9gYzUjShk8Ho659Op7h//z7effddNBoNqe9BrWk8HktMQDQaRTQaRbfbFfMjy//z92KxKIQ6Go0k84FF1BjIyBTc2WyGRCKBcrks7+z3+9FqtQDM02/r9TqAeTuCfD6/ELS5t7cnReEqlQpu3ryJTCYjDTlZPI3xA9SSrl+/LoXXqtWqmMtZPffk5ER6Znm9XqnDwucy2yQejyOZTMqGwfeiDx84bwtBnz4wL4qXSCSk8zu1sEePHkkV4EgkImm6NJ1bWFisDuw5Yc+JdTknVkKwAuZMQ0k5Fotha2sL3W4XqVQKhUIB2WxWancw7RGYm4dZiwKAmDkdx4HP5xMNZjqd4u7du/D5fFJILhwOS7YEzcasNnt6eiol9t98802Mx2PEYjFkMhlhOJbpn81maLVa8Pv9KBaLKJfLiMViUpqfms5oNMKDBw/w9ttvi985FouJ5M6gy1dffRWRSATNZlOuJVMwwyKbzaJcLi8QGlNN2+02ptOpfE4tg2PNZrNCUGwDwHRXtiRgPZDxeCzVdNk4k2bfjY0NJBIJqWA7Go0kdZaF3xiL0O/38fDhQ+lDxd5LbFUAQDacUqmE8Xgs2iG1vXw+j3K5LO8Yi8XQarWkuB+rB/M7rK1CHzzjDsioT548kcBLxmcwU8TCwmL1YM8Je06swzmxEoLVaDSSImW1Wg3JZBKvvPIKPv/5z+PrX/863nrrLXz7298GMJcwmcXB4mevvfYaTk9P4fP5Fkx32WxW+jYxnZX3GI/HEsBIv+x0OsX169fh9c47eft8PnQ6HQlWZN2PyWSCjY0NTKdTHB4eot1uSxE0Nok8PT3FO++8AwBimibRsjYKqwVT6g4EAiiXyygWi2g0GiKtX7t2DQDQbDYlWJBmSZpoySAM6pxOp0ilUrh37x4ASO2QdrstPvxEIiEbFXBeMI5BmbVaDc1mUxiImS937tzBjRs3kE6nJciRTM80WXZVZ+oxWwTwuh/+4R9GKBSSeeE4YrEYPvOZz6BSqeD1118XDRCAEL82A6fTaZkfNvHUQaLMwKnX69jc3JSO5pFIRAoD/vVf/7XQBVNrLSwsVgv2nLDnxLqcEyshWJ2enmJnZwfFYhGnp6eIRqPSgXw0GuHg4ADf/e53AQBbW1t45ZVXcO/ePYzHY3zjG9/A0dERotEostmsmHi3trZQKBRkASmxM0iOPm4GD2qpWf94PB6ZZG1GZFE6mgv7/T58Ph+azSaOjo4wnc67cwcCAdGaACCdTovGQKm7Uqmg2Wyi0Wig3W7jW9/6Fur1uhRrY4XY09PThWabDPwD5r2YWJF2NBrJotOPzPRiZkkYYxY6nFNKp2/a4/FIs05mP2SzWeTzeeTzeen0zYq44/EYoVBIKgfrFg4A5B6sL8MgTqYa6+7iNCtzrNqEC2AhFsDj8UiDzXg8LtpVNBqVANGjoyN0Oh0JQGRqMjNVGPjIZ1hXoIXF6sGeE/acWJdzYiUEq/F4jMePH6PVaolvmma3g4MDyYRgzY4XXngB165dw97eHk5OTuDxeJBKpXD9+nWUy2WEQiHRVFgMrt1u4+joSLIagDkRNZtNqewaiUQkM4TF0ViYjBVqqY2w4Bsnl40uJ5MJ3nvvPamGC8wlZBZmS6VSkiYbj8exsbEh7QpOT08lO4U1WtgdfH9/H61WS0zLgUBAJH0GXkYiEVl09jGiD58MTxMsxx+JRCSwkP5vBmzqppbMuOEmwrlgVWDgvKYK4wfo66c/mt3OAUiaMasCDwYD0Yjo4w6Hw7IpDYdDNBoN0UCo1ZFpyeTUwPL5PIrFonSLZ1Apx+H1eqWrPAvtcX5s8LqFxerBnhP2nFiXc2IlBCsAUu8ik8lILZHj42MpeMYAua2tLVlgStnlchnXr1/H9evXUSqVEAgEEAwGcXJyIumxXFhK6ywsB0AyPCidMjjPGINUKiUMTKmXRMU6HJTAk8mkpGxqM6OuPcJsA5ofHceR/k/tdlu6iGezWUkfrdfrePDgAQKBgCwymX08HiMajUovKi62HjOfxU7w9KX7/X6kUil5hjalMmMGgLwzzdzHx8finz89PRVftfsnEolgOBwuFLqj1tHpdITRdaViFsDTmRq9Xm8hE4QbDue20+kspNlWKhVhGBa7azQaoq1xPuj7TyaTaDabGAwGtuq6hcUKw54T9pxYh3NiJQQrTu7p6SnG47HUDDk+PsZwOEQqlRIf8+bmJrxerzBYIpHA3bt3USgUxLxL063uMt7r9cR8GYvFRDKlaZNmQpo5uXAMlNQ+Zi5WNBqVIEYG2DGwcTSad/5m4CKlZxZCo/mSLQeq1apkTSSTSfj9fimo1mq1MB6PUS6XUSqVEAwG0Wg08N5778Hr9UrncgZicg60RE1zKtNR+cNMm2q1upCuS392IBBAIpGQAnTs3s5gTu2jpiTP+h4M7tTpxyT+g4MDdLtdRKNR+Xsul5Pu5mw0SnM/fe79fl+Yhpsfs3nYfqFQKMh3GfQ4m80QiUREyzLGiKk6FoshmUyi2+3KWltYWKwW7Dlhz4l1OSdWQrAyxkiBNb2wrJ/BdNlIJIJcLicm1OFwiGw2i42NDUltZYrmYDBYSKnM5XLiT6WEz8mkBExpmMzX7XYX/N5kaJpIWa2V6bC9Xg/VahWDwQDFYhE//uM/jsFggMePH2Nvbw+Hh4fo9/tIp9Mi1VPiZr+nUqkkzFKr1TAYDJBKpfDzP//zqFQqSCaTGI1G2NvbQ7PZFDMqi+XRpM3iaDQzswVBJBLBnTt3EAwGYYxBpVJBpVKB4zjSu4oEo337wWAQtVpNtA7em5konGdg3sYhn89LLEGtVpNrWXhub28PiUQChUJB0mO3t7cRCoUWmqNyM2PGB9+N2ks+n8fm5qb0D+t0OqK5TadTbGxsoFKpiLmfRfPoQmC1Y25+1N4sLCxWC/acsOfEupwTKyFYkXAymYxIlxoMjvP7/dJTiLUk2H+IkjAwl4DJLAxyY+NHtjFgcB99tiR8ACKtsmw/G0FS+mbXdB10xx5S3W4X4XAY6XRaUoFpaq5Wq2KeBLDwngyI1D5rmmd9Ph/y+TxyuRxCoRBGoxEKhQKKxSKm0/N+UKzwSy2CC08iYY2PTCaDVColmTDMmhmPx9KBHThvWMngPs6NLsLG+aYGxnmkdnJ4eIgnT57IGtPkWy6XkUwmkclkpGM6N73T01NhrEgksuBvByCF9EKhEMLhMPL5vNSuqVareO+991Cv1xGJRBYKuTHDx3EcCVTl3BPUUiwsLFYL9pyw58S6nBMrIVjR1Mh6Gtp0RwJjYBtrdHi9XpEmqVnQF0u/OZmIzAXMi4ABkCq0vCcD1QBI4Bv/3mw2peaG9q1qU2C/35cidKxyS792qVQSzYhjoWnYGCN+al0NOBwOS8Aei7r5fD4xZY7HY2SzWSmKdnp6ilarhePjYzH18oeppNwcWIeEcxKJRMTUSQbS2Ro0nR4fH8s9dVE7mqtPTk6koi57UTUaDbz//vti1mYw5q1bt5BMJqXZKDVP3pfgffkZ14VNOSuVijAfAyB3dnakOFy/3xcGoPbKbB9uDKQJn88nrSQsLCxWC/acsOfEupwTKyFYUSo8PDyU7AP6j2n6ZHooAFkknT1A4ub9GADHNMxAICAdqRmUyCwIXWBM+42Becrs4eEhTk5O5B7UGgCINAtAAt5Yn2N3d1dqpLBq63A4lDRQmo+1v5a1WobDoUjj7Hbe6XSkZshkMkGpVFroKdXtdqWyrw6apD+bXb9ZE4TmXMYFsAlmLBYT4h0Oh9Lwsl6vS38laiPUIPju7733HqrVqoyF70GmiMViSCQSuHHjhvj4ORec43g8js3NTTQaDTQaDXlfZt5QoyoUCiiXyygUCgiHwzg5OUE8HpcN1L0B0izMsdOnziBIZplYWFisHuw5Yc+JdTknVuIUMcZIquNwOBSpnKY8Zg+wRD8JnC9OKZlSKqvD0jTMwLpKpbJA6EydpFmPPlr+HYD0FBqNRkIYNI3yWRxTNBpFMBgUpqhWq4hEIsjn8+K3p7kTwILGxWA7BjTSzDmZTIRI6CNnj6Zr165JSvBkMkE6nZY2D3yGrtVBk+dkMhGNiExbq9Uk+JEprJznVquFJ0+eSNd2zlcgEMD29rZkm0SjURkjiZYanN5YisUiYrEYgsEgBoMBgHPTMRlwMpng/v37okEZYxCPx3Hjxg2hDXZbp7ZJBiZNRSIRWadmsylBobqPFMfL7+vN0sLCYnVgzwl7TqzLObESghWbMGYyGQAQEyMnnCmvTIVlBgUAyfzY29uTTtrJZBI+n08C5kKhkFSCzeVy4jNnFd5UKiXagOM4UpSs1+uh1+shn8+L9BuJRGCMQa1WE38+zaipVAqZTEYWiH2kyFCNRgPf+c53ROpl5+xgMIhmsykMQgmZUn8wGES9XsdkMhFCo7+a2SK8noREAu12u2JSZsf3arWK2WyGVCqFjY0NhMNhHBwcYH9/Xyrffvazn8XW1hY8Hg/u378PANLklBJ+JBKRTBCat7/whS9gPB7j6OgIOzs7ePTo0ULbAQZgMuAQgBRtY2+qhw8f4s0330S320U6nRaNi20rTk9PJfCUacvUItlCgSnS6XQawWBQus7rrA+v1ytrTGZjFpCFhcVqwZ4T9pxYl3NiJQQrYwwKhYI0xWTV1clkIt3He70e9vb2UKvVEI/HxewZDAbRarWksisnNhCYd6nWDLe3twcAku7Karrar0t//Gw2E791uVxGMBgU6bXf72N3dxfAvO0AGzPyHkzNbTabePz4sZhpKZUDc8mb9TcqlQqy2Sza7baYG2n6pKRerVYRj8el2myv15MaIQxU1FI0NbV4PC6Vc+lb7na78Hg8iEQiYtrVQYbGGDH9ejweJJNJ3Lx5U3pq0SRPomMwo+M4SCQSovmk02l0u12JgaCm5/V6Ua1WpUAcAyQnkwlqtRreeOMNvPHGG4jH4ygWixKsyk2MGUCpVAqxWAy5XE60wul0ilKphH6/LxqLz+cTbYhjBs6DLqmtZrNZMYFbWFisFuw5Yc+JdTknVkKw8ng8yOVy0pGaAXsM2mNWx/Hx8QKhsss5Myr8fj82Nzdx7949+Hw+1Ot11Ot1NBoN9Ho9vP3222i320ilUnAcB91uV4h8Op1+oB0Bn88UXJb3Z30NZoUkk0mMx2N0u10AEKJiT6V2u41SqYRoNIpr165JYF46nUY2m0WxWEQul5MAPDLVYDCQlFK2LaCJejqdV/1lywOm0xKMC6C5ltCF2gBI1ko+nxeTJ03u/X4fqVRKCAmABIkynZjmbKbwxuNxaVcQjUalwjEZhptRrVaD3+/HcDgUrazb7eLhw4e4f/8+9vf38eqrr0oKLHCetUIfey6Xw/Xr11EoFFCtVsW0XalUcHJyIrES9Ltz7jgPDETVmSf0+VtYWKwW7Dlhz4l1OSdWRrBiJ3FmTTCATKerMniOvZzYz4kaAxdoc3NTJFM2z+z1esKMrObK71DqpwmSvmFjDMLh8IIZczqdir9e+3vZboCaQzAYlF5M1ApoUmVGClsOJBKJhYwMMi+Jm8wBYMFUSg2N2S/Aea8laiS6hD8zRRKJBNLpNDwejxB8Pp9HIBCQmiwM+vR6vbIxcQOhH38ymaDT6SyYSemHpm+dWiE1HcY5dDodGWsqlUI8Hker1cLOzg5qtRpCoZBoIcCcsWm2zeVyyGazuHXrFjY3NzEajcT3z6rLw+FQUqhHo5EEk+qYCBaey2azUpPGNmC2sFhN2HPCnhPrck6shGAVDAZRqVTg9Z734GGmRqPRgN/vh9/vR6lUAjA3b0YiEQmGY70JSss7OzuoVqsS2Z9OpxEIBJBOpxEOhyUgT3fNpr+arQIYHBeLxaTmBonS7/fjpZdeQjKZRDabFV8/U3xpoi2VSlJMjhtCqVSSQnNkDABiWmYwIAvTkbgfPHgAYLGaLzcG1jPhpqLNzJTi2S/K4/FgY2MDhUIBk8kEjUZjIcWWZlhqX4wLYDYHM0C01sOWBwDENE4tjem/zNQJhUKiCY1G8y7qb7/9NnZ3d9Hr9dDpdHDnzh0UCgWk02nJfOl2u1Jbhr2zNjc3kc/ncf/+fdRqNQBAqVTC3bt3JR1XZ/cw6JPa5P7+PgBIsCLnzFqsLCxWD/acsOfEupwTKyFYMb0SOJ9wHZhHf2csFkOlUpFgNN2niI0x2RNob28PXq9XumyXSiWUSiWR+Fn6nuZjlsOntKsD08hEnEgWYisWi0gmkxIgyBTRk5MTMZUyUJCZBCQcvisACZ7UPZsAiF+b2gqlf74301DD4bDEB3CTYOwAAJk7Bk6GQiFhVtZB6XQ6mM1mkiWRSCRkTdxzwM2DGxyzXPi+fGYwGJSeU47jSJaJx+ORmAhqhuxMnk6nJViT2iI1PNZliUQick9uHvl8HrPZTHzfnFv+y02K9Mb6MdxouRl4vV4rWFlYrCDsOWHPiXU5J1ZCsGIQHCeUkqo7QIxBcbqQ23g8RjqdBgCpZ8IeQbw+n88jEomgXC7L32mKJRGOx2PJAOHz6W+lNO7xeMR8Sd93JBIRsyzrgLBwG03BNEdPJhPx17P4GM2vfCcdHAhA/q7bIvD/DIZkAKFe6FAoJISl/8950751pilPp1MhJpbvZzCfJjZ+hz5xfpepxLoAn+M4aLVa8n3OLd+L2t3x8bFoa+wFxRRmZsDw+5xjBkOyvQSDWFnZl9/jO9A8zXnPZrMLY7JlFiwsVhf2nLDnxLqcEyshWM1mM3Q6HfFrkiCi0ajUKKGpThftommS1+mCcI7jiHZA/3cymZQFJzHz+Y7jwO/3i5bDTAJK3LyOUj+D7KgVTKdTISQSCn3tOsOAvll+FzhnWppnuaiMDWB/o9FoJExBwub/+Xz6tamp8fm8nza3klCi0ahkcJDxOV4AC8TONWCwI7UJMrLO6iDx8vmMF3DPqdYWotGorBnTjQmvd54mWyqVkEwmMZvNxGfPonrUqqjJcg3IcFx7amG8LxlY11GxsLBYHdhzwp4TwHqcEyshWE2n8y7jAMT0x8XUBKKld5/PJ2ZZABJMSJOqx+MRcy0A8aMSDDrUUj99xDSf6uJnlNw5NgBStZfEy+ew1gkJjwTHoEq+Axfz9PRUUlypgfH9NVMxGJPmVHdlYGoxfD4DJzlWMiQZmP9y7NR2AIh2xY2H66Q3JJqO2XSUDM1n6sBIzj9jEhisyev9fj8SiYS8O8fKQnMsqFcul5FOp+Hz+SQzhunA7C/F1gacd1YAJuPownf8l/TFrvIWFharBXtO2HNiXc6JlRCsmFapiQWAmFQBiAlRF0ajJkGTH6/z+/3I5XLi+yWh07wKQK6neZnPY72K6XReLI2mWV5Lyb3VaknAIau6koG0JkQfLwlD1ycBIL5hNn0kkdBMzIBHZjvQx0si5WIT9M+Teai1cV6orfHdmElDhiUjHxwciC9cByOSqXg9tS6+KwMbtbahwYyRQqEgsQrsj8XMEADSq4nvwWJ+XDea6cfjscRD0BTN9yK8Xq/EC+j54ve1pkjasrCwWC3Yc8KeE+tyTqyEYAXMzYiUfrmgNNmR4AAIIVOCZNEu3kMzka43Mp1OxXyrNRxKpbyG99EEzM/JMJRqZ7OZLJSuyMsxsxCb1kR0DyI+i9czOJIZI9RceG/gPP2Txd40+CwyPIlBbzDa1Km1J0rlBDUFzgG1PpqNOUZep02po9FowYRNEzBN1WQC+rc5Hm46unidO1CQ459MJkIHrF2jAxXdDMPvUSPiWmgtRNOUhYXF6sGeE/acWIdzYiUEKw6Uhc+0OU77MnmdDpLTWgShr6HkzYUcDoeyOFxA3lsH4GmfrvZ/c4HJ2NQ+3NBj4H3IRF6vd+G9gPPO7fr7bBvAYDoSPReXDOI2gwNY8LPrgEIyMf3ahDbL6g2E49XzwM9JfCRoziG1G25M1JgASN0VfT3HoVOQtYmcpmxuKACE+XkfrZVo5tBakZ4v0htwbgLW5mELC4vVgj0n7DkBrMc5sRKCFQd6enoqTKElwmXMwBfUAXNcWKbJAhDzK7+riZ+Eq59JiZnMwM8ogWvowDoSFhmRWgTBhSURc2H1AlMz0JI9TcMkThKsnhc+T2s3y75LUPvSQZ6cS/c7cryawDUDcmPh/fU8Aot+a8dxZNOYTCby7nw2gzP5fcYO8DptIuc7602Cz9e0wXG405f1c/VacowWFharBXtO2HNiXc6JlRKs9ILwhfSCa+3ALS3yRbW06fF4pNqslk7dTAN80Gfqfo7WfHgvMq42P/LZWpp3P4fSNT/T4+Pv1Hj4mb4ncF4vRI+J5lFtrtWBf/qZJDzt3162AWlNivPg9Z6nnTJW4KJ5YvAkP9PXud+L6cw63oBrT8Zzm7UByDzo5/N5fDY1Tr0Obm3W/buFhcXqwJ4T9pzgO636ObESghWlUwBCyJRGtZTJIEUSkzttVhO92y+siUGbDIHzNEp9DUGiAbBA1KwMy/tp/zA/c/uU+V0Skds0667DQebS783PgHMzLrUAZre4g+wozQMQMzbNpSRGmmP1BsD50eZUr9crdVjcmhA3PI6B2oZeH84PNTs95xwT35EpuHqcnBd9H5qbOe/aTEvG51i0OVeb8DUtWlhYrB7sOWHPCT5v1c+JpwpWxpg/APB3AVQdx/kbZ5/9NoB/CKB2dtk/cxznL87+9hsAfgXAFMA/dhznvz3tGXoytWSsTbAEpUsuDif8IglS++E1QWgzqFvCP3uPBb+tNhdSEtfQQXKaWThm4HxhmD3B8VAC15/xOSReSvz8nM8kQ2tNjNc4jiPf0xuI9mW7GZlrwA2MBKw3F45XBzzqOdRzpTUPrV1xw9CandbItLanNy3NnLwPNxSuszveguNYtnm6NT5tCr8Iz4MnLCzWCfacsOeEPSfO8SwWqz8E8O8A/LHr83/jOM6/0h8YY14E8AsAPgNgA8D/NMbcdRxnig+B1kS0RKknQS+IDrbj4mutAMDCpF3k8+b3tPTr1maYRqtNp1xszdw6Q0P7owkd9KczHDSzfNj8aNO1W7vQ86AZnPMwGo1Ea9O+cA2OiVI630UTPscxnU4lEJPMr4l+2ZzzMz0nnG8dC6Hny808+jmaEfg5NwdN9JwP97voudUar5vWLsAf4gfMExYWa4Y/hD0n7Dlhz4n5+174l/Mb/qUxZvtp153hiwC+4jjOEMAjY8xDAJ8D8H8+7Euz2UwyAFj4jZ9TgnX7xDVxuzWVs3F/4BnAOUHoZ7iv09IpP3MzLrupk3H4uQ7O02Pm39zBgRdJ8W7z9nS6WIdEm515Dz0nJA5mh8xmswV/uH53t6amzckkQPe7aK1HX6fXzT1//J7W1PRY9AYwnU6lBQL/7mYGPptamJ4X/WxeR+g10huf3hQ/DM+DJyws1gn2nLDnhD0nzvH9xFj9mjHmlwB8E8A/cRynBaAC4Bvqmt2zz54JXDhgsTy+JnZe45Ye9cLyWmCRIbR5132dNikC55V9mYHgluA5Bo5Jtw1wmw/dRMZx6OyNp41bj5HSNb9H06Q7bZfzx+eTCdzzQGZzb0qENhu7TdA0ufOzZVqVu7jabDaTIEE9F26NS3dG1/fnffiZrmnCzcE9dvre9SakNUm3lvQxcek8YWGx5rDnhD0nPnXnxNMDSpbj9wDcAvAjAA4A/O7Z58vaPS8V64wxXzLGfNMY801qIdp3yRfTL+FeSEqg2hxMaMZaZhrU99QgEVNqJ5Hwd7/fv9Cg0S11857GmIU0UDezEHrR+F2tTbk1HL6bJmLW4KBJ2v0O+v/8zrJxaE1F+9f5/WWMpMfIa3WfJX1vPY/6nsvWQWsW7k3ArUm5x+GeN8YN0Jzu1qo03TyDG/AiXCpPjPHBmjcWFmsGe07Yc+JTeU58LIuV4zhH/N0Y8/sA/svZf3cBbKlLNwHsX3CPLwP4MgAUi0WHC6r9qGQEvVB6Yvl39+/AogTK77s1BX0fvbgaHJe+zzIJ1i3F63texCz8vtvEqAMI+X23iZLf00ygzbj6/m5Nxq2pcA7YJNR9jZ53bWZ1aw56w4ZVMlwAAAmoSURBVNOmUm1W5nxps7deX74rx6OZQTMIv8vxuE3ieq00Y3BD0m4C91p/HFw2TyRMxqYnWqw17Dlhzwn9Xp+mc+JjCVbGmLLjOAdn//05AG+e/f5VAP/JGPOvMQ9KvAPgr552Pz2ZZ/eXSebEu/2my0y6WjontD9WmzL1AmkwyG6ZaZhStr6v1oJIsJoYNHHzswvmdMF0uuzvHO9sNlvo5q6v10Ti1hL09ZxXPV4Ssr4fGV/Pr3tMbmZxQxP2MjOq3gz5oxlf+/X1724G4bVa8/owrc8dd6AbrX5UXDZPWFisO+w5Yc8JPaZP0znxLOUW/gTATwHIGWN2AfwWgJ8yxvwI5ubbxwD+EQA4jvOWMeZPAfw/ABMAv+p8hOwnN5FSwgc+KDEv0zQ0M2ji0xOjTbIkKs1AXBT3ePQC0ifuJqyLCENrVFq70EyivzOdzrM5yLwAZDGZOqvHpU2x7jEu0+Y8Hs/STUFrFbrTOJ/vTjnV3yVx0o9Notda2rINTa+fjgNwM65+rt6Q3GvjZlq9YdB37jgfDHR1X/NheJ48YWGxDrDnBOQ+9pyw58SzZAX+4pKP/8OHXP87AH7nafddBr4sTZ160txmSwBLJ9VtunNnP+jJ1QTD392mR81kuiM3/fJ6ASnRaujr9PtpItG+YF7DtFyOVxdUIyESejNxp+XqdFv3PLrH6iYu4Jzx3BkwWrvi//kO7nlwm3QvYgQ3eE9dC0abZPk9vrf7u9rsy01Cm8tp0tb08Sx4njxhYbEOsOeEPSf0v/q9Po3nxEpUXgfOiUXXu6ApU0MToPv7XKjp9LyxpdvEpyVVj8ezQIjABzUE3pfPdF9PX7+7R5RmJrdkq8egJXRNTPye1jLc76qfddH9eb37c7ffmM/kdVpS14ys52aZxkYTqx7jh/mkte/bzYCa4Jd9n8/lJqa/q03c2vzrfqZ+d62xWlhYrB7sOWHPiXU4J1ZGsNKL+TRXjDYFAotM5DatXkQ8+rnLGMT9d/d3OeFcHDfxuCd9mXlT30trSLrPkZtgNPHqe3KxCd5Pj+vDxsBx6Pvpe5FxLvquOyB0WRyA9oXr+7sJWG8abubk9csCS93rpufIbcYHsGBCt7CwWH3Yc8KeE+twTqyMYAV8sOiam9iBxRYCwHk7AzfcGoxbGv8w4nH/TTONe7GBxWwMbbqlJqWJ3d2Qk7EA+t468E6PiWZKLaHze+6YAPe76Hfnd54FblOtWzNZxsDuTUibxJc9W2t6F8UCuJlJP9f9Tu57uLVJ93M1nrZZW1hYXC3sOWHPiVU/J1ZKsHqaVLhMmuQkuL9LpnJPitYU3FL+dDrPgOAk62BHN9x+czeR6HvT/KtNnvp9tKmZpl1qWpoINVMCT98U9JwyIJL3WTYP+j7aVOsmTB1PoL/rNpu6NQzNcO5YAs6nm4Dd99ObmB6PO6tlmTbFTUxrkctiLywsLFYX9pyw58SqnxMrJVhpU6n+DFgs9qUJCVhkHj1xmlk8Ho+YTknY+np38OMy8zDvQybSkja1BD7TLfXz80AgsHANNSlN7IFAQDQyMgU7c+sNg+/jJiJt1nTPIRlTxwgsy4LR0D5q/U7LnsnNi/fXzMn3ZQsC/Tn/dpGp/CKNis/T2pjWTN2bivteGny+tVpZWKwu7Dlhz4lVPydWQrBapi24pXCChL7M360JapkJk9IoF0dnc/A+ekzaHKuJiQtMuM2+y0yNepzaF08zMP/vNle72w/ouXET+TIG1yZRPZduotD+8Ys2Cj0/F8UbUAvQ49REu0zbcM+bHucyP7l+n2Wf682AtOLWgi7SLt2broWFxWrAnhP2nNDzpse5aueEWYVDxBhTA3AMoH7VY3kKcrBjvAys+hivO46Tv8oBWJ64VNgxfv9YBZ7oAXjnKsfwjFj1tQTsGC8DF/LESghWAGCM+abjOC9f9Tg+DHaMl4N1GOMqYB3myY7xcrAOY7xqrMscrcM47Rh/sLCRuhYWFhYWFhYWlwQrWFlYWFhYWFhYXBJWSbD68lUP4Blgx3g5WIcxrgLWYZ7sGC8H6zDGq8a6zNE6jNOO8QeIlYmxsrCwsLCwsLBYd6ySxcrCwsLCwsLCYq1x5YKVMebvGGPeMcY8NMb8+lWPhzDGPDbGvGGM+bYx5ptnn2WMMf/DGPPg7N/0cx7THxhjqsaYN9VnS8dk5vi3Z/P6XWPMS1c4xt82xuydzeW3jTE/q/72G2djfMcY87efxxhXHZYnPtKYLE98CmB54iONyfLEVYPVT6/iB4AXwLsAbgIIAPgOgBevckxqbI8B5Fyf/UsAv372+68D+BfPeUxfAPASgDefNiYAPwvgvwIwAD4P4PUrHONvA/inS6598WzNgwBunNGC96rX/ip/LE9cCr1ZnvgE/VieuBR6szzxHH+u2mL1OQAPHcfZcRxnBOArAL54xWP6MHwRwB+d/f5HAP7e83y44zh/CaD5jGP6IoA/dub4BoCUMaZ8RWO8CF8E8BXHcYaO4zwC8BBzmvg0w/LER4DliU8FLE98BFieuHpctWBVAfC++v/u2WerAAfAfzfGfMsY86Wzz4qO4xwAwNm/hSsb3TkuGtOqze2vnZma/0CZxldtjKuAVZ4TyxOXC8sTz4ZVnhPLE5eLTwRPXLVgtayL4aqkKb7qOM5LAH4GwK8aY75w1QP6iFiluf09ALcA/AiAAwC/e/b5Ko1xVbDKc2J54vJgeeLZscpzYnni8vCJ4YmrFqx2AWyp/28C2L+isSzAcZz9s3+rAP4z5qbHI5pJz/6tXt0IBReNaWXm1nGcI8dxpo7jzAD8Ps7NuCszxhXCys6J5YnLg+WJj4SVnRPLE5eHTxJPXLVg9X8B3DHG3DDGBAD8AoCvXvGYYIyJGmPi/B3A3wLwJuZj++Wzy34ZwJ9fzQgXcNGYvgrgl86yPj4PoENT8POGy2f/c5jPJTAf4y8YY4LGmBsA7gD4q+c9vhWD5YnvH5YnPlmwPPH9w/LE88RVR89jnpXwPcwj/X/zqsdzNqabmGchfAfAWxwXgCyA/wXgwdm/mec8rj/B3EQ6xlyK/5WLxoS5+fTfn83rGwBevsIx/sezMXwXcyYpq+t/82yM7wD4mate+1X4sTzxfdOb5YlP2I/lie+b3ixPPMcfW3ndwsLCwsLCwuKScNWuQAsLCwsLCwuLTwysYGVhYWFhYWFhcUmwgpWFhYWFhYWFxSXBClYWFhYWFhYWFpcEK1hZWFhYWFhYWFwSrGBlYWFhYWFhYXFJsIKVhYWFhYWFhcUlwQpWFhYWFhYWFhaXhP8POe8h0kk/69kAAAAASUVORK5CYII=\n",
          "text/plain": [
           "<Figure size 720x720 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "segmentation = helper.what_segments(layer_1)\n",
        "segmentation_line = np.argmin(segmentation, axis=0)\n",
        "\n",
        "# Draw results.\n",
        "f,ax = plt.subplots(1,3,figsize=(10,10))\n",
        "ax[0].imshow(data, cmap='gray')\n",
        "ax[1].imshow(segmentation)\n",
        "ax[2].imshow(data, cmap='gray')\n",
        "ax[2].plot(segmentation_line)\n",
        "plt.show()"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## Detect multiple layers"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Looking at the image there there are four layers. Therefore we will create three objects, as we want to segment three different layers. Although our graph cut is still binary, we will create the graph so that we get a multi-label segmentation."
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 8,
       "metadata": {},
       "outputs": [],
       "source": [
        "layers = []\n",
        "for i in range(3):\n",
        "    layers.append(GraphObject(255-data))"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "We create the ```MaxflowBuilder``` and add all layers to the graph. We then add boundary costs and smoothness as before."
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 9,
       "metadata": {},
       "outputs": [],
       "source": [
        "helper = MaxflowBuilder()\n",
        "helper.add_objects(layers)\n",
        "helper.add_layered_boundary_cost()\n",
        "helper.add_layered_smoothness()"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "We've added the layers to the graph, but because they all are based on the same data, and there are no interaction contraints between the layers, they would all result in the exact same segmentation. This is *not* what we want.\n",
        "We want the layers to be separated by a certain distance. Luckily [Li et al](https://doi.org/10.1109/TPAMI.2006.19). describe how to enforce a minimum distance between the layers. This technique has been implemented in ```add_layered_containment```, which takes an *outer* and an *inner* ```GraphObject``` and lets you specify both a minimum and maximum distance/margin between them. In this case we will only specify a minimum margin."
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 10,
       "metadata": {},
       "outputs": [],
       "source": [
        "for i in range(len(layers)-1):\n",
        "    helper.add_layered_containment(layers[i], layers[i+1], min_margin=10)"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 11,
       "metadata": {},
       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
          "Maximum flow/minimum energy: 290144\n"
         ]
        }
       ],
       "source": [
        "flow = helper.solve()\n",
        "print('Maximum flow/minimum energy:', flow)"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "We can now get the segmentations for all layers and show them. Notice that the blue line, representing the first layers is the furthest down, or outermost."
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 12,
       "metadata": {},
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 720x720 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "segmentations = [helper.what_segments(l).astype(np.int32) for l in layers]\n",
        "segmentation_lines = [np.argmin(s, axis=0) - 0.5 for s in segmentations]\n",
        "\n",
        "# Draw results.\n",
        "f,ax = plt.subplots(1,3,figsize=(10,10))\n",
        "ax[0].imshow(data, cmap='gray')\n",
        "ax[1].imshow(np.sum(segmentations, axis=0))\n",
        "ax[2].imshow(data, cmap='gray')\n",
        "for line in segmentation_lines:\n",
        "    ax[2].plot(line)\n",
        "plt.show()"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "There is however a problem. The three segmentations are not the ones we were looking for. This is most likely due to the small break in the top layer.\n",
        "\n",
        "To counter this problem we can create more segmentations than needed and then select the correct ones."
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 13,
       "metadata": {},
       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
          "Maximum flow/minimum energy: 887443\n"
         ]
        }
       ],
       "source": [
        "layers = []\n",
        "for i in range(9):\n",
        "    layers.append(GraphObject(255-data))\n",
        "    \n",
        "helper = MaxflowBuilder()\n",
        "helper.add_objects(layers)\n",
        "helper.add_layered_boundary_cost()\n",
        "helper.add_layered_smoothness()\n",
        "\n",
        "for i in range(len(layers)-1):\n",
        "    helper.add_layered_containment(layers[i], layers[i+1], min_margin=10)  \n",
        "    \n",
        "flow = helper.solve()\n",
        "print('Maximum flow/minimum energy:', flow)\n",
        "\n",
        "segmentations = [helper.what_segments(l).astype(np.int32) for l in layers]\n",
        "segmentation_lines = [np.argmin(s, axis=0) - 0.5 for s in segmentations]"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Since the segmentations are ordered from bottom to top the correct segmentations can easily be found by indexing."
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 14,
       "metadata": {},
       "outputs": [],
       "source": [
        "segmentations = [segmentations[i] for i in [0,-2,-1]]\n",
        "segmentation_lines = [segmentation_lines[i] for i in [0,-2,-1]]"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 15,
       "metadata": {},
       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 720x720 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "# Draw results.\n",
        "f,ax = plt.subplots(1,3,figsize=(10,10))\n",
        "ax[0].imshow(data, cmap='gray')\n",
        "ax[1].imshow(np.sum(segmentations, axis=0))\n",
        "ax[2].imshow(data, cmap='gray')\n",
        "for i,line in enumerate(segmentation_lines):\n",
        "    ax[2].plot(line)\n",
        "plt.show()"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "Which yields in a better segmentation."
       ]
      }
     ],
     "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": "3.7.4"
      }
     },
     "nbformat": 4,
     "nbformat_minor": 4
    }