{ "metadata": { "name": "Adaptive Thresholding" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": "Adaptive Thresholding " }, { "cell_type": "markdown", "metadata": {}, "source": "### Import the required modules\nImport the required modules." }, { "cell_type": "code", "collapsed": false, "input": "%pylab inline\nimport cv2", "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": "Populating the interactive namespace from numpy and matplotlib\n" } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": "### Read the input image\nFirst of all read the image, then convert the image to grayscale and finally display the image." }, { "cell_type": "code", "collapsed": false, "input": "im = imread(\"/home/bikz05/Desktop/image.jpg\")\nim_gray = cv2.cvtColor(im, cv2.COLOR_RGB2GRAY)\naxis(\"off\")\ntitle(\"Input Image\")\nimshow(im_gray, cmap = 'gray')\nshow()", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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RSJi+ejwex8urqqurzY4LnWvGRmnV7YQEEy6cE46Zc8855vmlQCk2qCEWyoId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\n5puIRqMmG1hTUwO/3+84SUWz5RofZUxVmY4W29JaapZYy1A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SKJuS+j2cNWvW6I033tCH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VAAAg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\nh9DIIXPEijTnIPkOz5jOs+R9zLcnbx2g4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cOLwqrHrU9/f7+am5sjnhyDynMRLg9R+R6D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jx4+4vr5GLpfDf/zHfxhQ/vTTT/bflZUVbG9vm6XBoIHf78fy8jKur6/x+vVrfPz4EZeXl3j3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\nbjKvq9VuK63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"text": "" } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": "### Fixed thresholding\nWe will first perform fixed thresholding on the input image. Fixed Thresholding is done using the function `cv2.threshold`. \nThe signature of `cv2.threshold` is - \n\n```python\ncv2.threshold(src, thresh, maxval, type[, dst]) -> retval, dst\n```\nHere, \n\n1. `src` is the input image.\n2. `thresh` is the threshold value.\n3. `maxval` is the maximum value that can be assigned to the output.\n4. `type` is the type of thresholding. \n5. `dst` is the destination image\n\nThe threshold value set is 50 and the threshold type is `cv2.THRESH_BINARY` i.e. any value that is greater than 50 is set to 255 and any value less than 55 is set to 0." }, { "cell_type": "code", "collapsed": false, "input": "retval, im_at_fixed = cv2.threshold(im_gray, 50, 255, cv2.THRESH_BINARY)\naxis(\"off\")\ntitle(\"Fixed Thresholding\")\nimshow(im_at_fixed, cmap = 'gray')\nshow()", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ue56SkmJqEQqVMWPGCIZ7enqCYRi8fPkSrq6uemeP7927h5MnTwIAXF1d0aZNG9G0ly5d\nwg8//ICDBw9i7969ePbsGa5cuaKz/OHDh4OI4OXlBQDYsWMHF+fk5CSYZ+fOndz3KeTsWRMbGxsk\nJSUBAFJTU/WmNyYJCQmoWbMmUlNTER8fj5ycHAwaNEhvPmdnZwDA5MmT9abdvXs3EhIS8MUXX+D5\n8+cAgL179+rNt2jRIr1pNDl16pRoHNt9V+f8+fOy6yiuWJhaAIWCgR2POnbsGD777DO96StVqoRO\nnTpJKrtFixZo0aIFAGk/WgDYunUrAHl/al27duWUgxSEfswFQaVKlbTCKlasiKFDhwLI+xNYvHgx\nGjRooLOc2bNnc7avUsYp//Of/wAAfvnlFy6sIBoJ5ubmyMnJMXq5JYUS19JU4PPZZ5+hRo0a3CRA\ndHS0Vprk5GQcPXqUuw4NDcWFCxcklT9w4ECEhobqbJkK0bx5c71p5ChMfTx8+NBoZb148UJvmjlz\n5qBHjx460yxZsoQ779q1q0GyFMSmdfoUpljPoLRQ4pSmnZ2dqUUockRHR8PR0VE0XtNMq3379pLL\nHjp0KJc+IyMDADB27Fhs3boVdnZ2okfVqlW589evX2vF29vb68z/22+/icZFR0drhdWvX9+AJyfO\nli1bYGdnh48//hipqamws7PDnDlzAABPnjzBq1evcPToUSxcuBAAkJaWhkePHmHEiBFYv369pDos\nLOR1BHNzc5GdnY3MzEwuTJ8CrFy5sqw6AHnvByvXpEmTZNdTZDH1oKpC/hg9erSs9OxEjByEJoJ0\nITYRJAbrKk4OYrPnYqSmpsquQwyxiSBdtGrVSnYesdnz4si3335rahGMRolraRqbyMhI1KlTRyt8\ny5YtJpBGwVDu3btn0vr//PNPk9YvhvqEnFROnz4tO8+PP/4oO09RRVGaaowePZp3npmZCQcHB/j4\n+ODrr7/G6NGjwTAMgDwPPgzD4LvvvgPDMOjSpYupxC6VFKcllKaGnSBTf79Z9I2J/vXXX1phGzZs\n0Ar74YcfMHr0aME6ShqK0gTQs2dPnDlzBps3b8bUqVPBMAw2bdoEa2trvHnzhlvpoPlCEBF+/fVX\nmJub4/jx46YQXRB2tpxV8Ppg00l94aOjoxEeHi65fACYOnUqAEjeDz4iIgJAnus6Id6+fasVlpSU\nhAoVKkiWydg4Oztj2rRpgnFCbvfMzc0BSP+eWOROurVu3RpTpkyR3drbt28fWrZsKSntpEmTEBkZ\nWbLGLsUw9fiAMWnfvr1B+bp160a5ubmCXsxv3bpFI0aMoDFjxtD169d5cWlpaZSWlkZxcXHUvXt3\n49yETMS+QvVwdcN2oTHN8PBwyszMJEtLS630RMJjmuw4ZHZ2tlZ6XcbtRHlObtXziI1pNmzYkMzN\nzQVlEiIjI4Nev34tmP7GjRt680tFbEwzKyuL9u7dS0RE6enpPIN/fWRmZmp5phca0+zYsSN3bmNj\nI7hlhpBcNjY2lJubS9WrV5ckT4sWLbhnT0RUpkwZ7rxPnz5a6TMyMujdu3eSyi7uKC1NACEhIbCx\nsUG7du0A5HU/fHx8kJ6eDjs7O9SuXRu1atVC48aNuVYnEcHGxgY2NjaoVKkSDh8+bMpb4HH37l08\nfPiQ61rZ2NjgzZs3oukbNGgAKysrbtbVxsZGZ/m3bt3C3bt3AeS1lvSlB4CVK1eCiMAwDBiGkWR8\nHhYWxj1vKXVYW1tzLthsbGywf/9+vXmMyezZs3H37l2kp6fD2toaK1eu5OLEzI9Yh82WlpZIS0vT\nWf4///yDLl264Ny5cwDyZuT/97//6ZWrY8eOSEtLw4ABAxAdHc0tMNDF2rVruWc/dOhQbtGAGLNm\nzcLnn38OHx8fAOA+SySm1trGZOPGjQblK86PoXPnzlph06dP53126tSJixObPVd/BgEBAbw4fbPn\nbdu25V1LmT2/e/cuXbx4kYjEW5rOzs6865UrV+otVx12czKiwmlpqiNleSMR8TZGmzVrFi9O3+z5\nwIEDJdWhyYMHD/SmYbcoYVF/J4Ramuqw+xzFxMRwYXJ9DhRlSlRLs0+fPgblo2LsUlTongMCArjP\n1q1bo1y5crhx4wYAwMPDQys9wzDcM5g6dSquXr0quf5mzZrBycmJa3lK4f379/jyyy91jpdZW1vz\n9u729fWVtNQQyFsl4+vrq9e4vCA5fvy44CSKOgcOHOAmYq5fv44mTZpILj85ORkBAQE4cOCAbNlq\n1qypN01cXBzvevr06ZLLr1evHgCgatWqXBj7/pUEStQyysjISNmGtyUdTVMXNzc3rTTqfxorVqyQ\nVb6+NedClCtXDhcvXtSZhjWUZwkKCuJdHzlyBN27dxfMa2dnp5W+sNHcz+ju3bv44IMPRNM0adKE\nU5qXLl1C//790b59e6xYsQLPnj3j0u3atYtb096nTx+sWbMGAODu7g4gbxjA1taWNzSgi9zcXOTm\n5upd5eTm5oanT58CAFQqFXJycrQUqy7y4zZu27ZtGDZsmMH5jU2JUpoK+rG0tJSdR6h1amrEFGZR\nRVNh6qJFixaIjY0V9dweGxsrGvbu3TuUL19ecl0ffvgh7t27J/hnqgmbhl37LiUPixyZNClKChMo\nYSZHpX1NrIKCVAcqLIVl9K9rp1N9FDXD+BKlNKXMChYU0dHROt1pKSgUBuHh4Satf9WqVYLhRbG3\nYiglSmnKRX2Hw/xSo0YNfPXVV0YrLz906NABANCrVy9J6UeOHMnLp49Zs2ahQ4cOoumvXbumFcZO\nCkjdFZItW8y4XSyP1HswNm/fvsWmTZsAADExMZLysEbtQst0xQgNDUVoaKgs2diJwX379knOw/42\nZs6cKauuKVOmyEovhbFjxxq9zHxh4tl7k5Kenk7z5s0jIiKGYbTiAdDt27dpxIgRvPCcnBzKyMjQ\nMlX67rvvCk5YEYTMrDIyMjiP55rUqFFDK4y9j3Xr1kmu193dXTRu1KhRWmFZWVlkbW1Nubm5WnFC\nJkcpKSk82aTCbiGhSWGYHC1evJh27twpuRzWePzrr78WjBczOXr+/LlomWJlqT9HlUqlZVamyYUL\nFzjTscaNG4u+T+q4uLjw6rh69arePMWRUqs01bcXYF+ozMxMnk2jSqXi4vr168f7sbDbDty/f58+\n/PBDXjmFiZDS9PPz4+2Voy6XkNK8f/8+LViwQDC9ENHR0YLPj0VIaa5YsYKOHz9Ojx8/plevXvHi\n4uPjBeupU6eOTjk00bXapTCUZsWKFbk9gl68eEE9evTQW5b6s6tVqxYvTkhpqn9//v7+PDtPImGl\nOXHiRCIisrS0pOfPn1NERIReuYj+fcc//PBDzvZSjMePH1OZMmUoIiKCYmNjacWKFdwfX0mjVHfP\ngbxVJ0SEVatWoWbNmrwudkpKCjdOum/fPnTu3BlAXreqYcOGGDVqFOrUqcOZ9Xz33XeFfwMC2NnZ\nISIiAhMnToS7uzs+//xznelr166NPXv2AMjrRm/cuFFn+sWLF2PatGmc0xIpXbJ79+7h008/xZIl\nS2BjY4NPP/2Ui2N3S9Tk/v373PmoUaN0lv/777+jY8eOXLpRo0YhMjJSr1zG4v79+4iPj8e+ffvw\n+vVruLi4SMpXsWJFAHnrw6OiorBt2zad6R8/fgwgb5bc19cX79+/11vHDz/8AADIzMxE5cqVUb9+\nfSxevFhnnu+++45zXH379m3Url1bZ/oaNWogKSkJ9evXh5ubG6ZMmWK0OYZx48YZpRyjYWqtbSxm\nzJghO0/nzp3p2rVr3HXVqlV5/+5jx44lIqJ79+4RkXALDAANHTqUjh8/Lrt+YyBlFZR6i0eopdm3\nb1/etdzXYsqUKbxroZamOpMnT6YuXbpw10ItTbFuphzUW1SFvSKIiP/chVpdQkNC6kjxpymlpalO\nSkqK6A6f6gQHB3Pn+/bto59//llvHnWk1CEV9ndYVGCIivFyGDVmzpyJpUuX5quMEydOoFKlSvD2\n9gaQZ/hrZpbXGA8PD+fCixJitnxieHh4cK2VguKrr76SNYHj5eVV4K3CmzdvolGjRkYp68aNG2jc\nuLGsPOqrrtTx8/NDnz59EBkZiSFDhmDQoEFIT0/HsGHDsHr1allem3bv3o0TJ05g0qRJePToETw9\nPQXThYeHw8XFhbfiSi4vX76U3JpmMfT3M27cOKxbt86gvAWBYtyuhnqXEQCnMAHDv/CCRo7CLKqc\nPXvW1CIUOGIOR9hhkX79+gEALl++zMW5ubnJ/n5Zm0YxhQn8+y4LbRBXFClKChMoQSZHNWrUMLUI\nCgqidOzY0dQiGBXNZa5SyE/LtihRYpSmkFPawqSw3ZApFC9YJxYlhfj4eNl5ipKj7vxQYpSmXFJS\nUoy6b0u5cuWMVpapkNoVvHHjhl7/imJ88803BuUr6ty+fZs7F1IoQuPt7PNm96iXgq+vL3x9fWXN\nKH/xxRcA+F6H9MEat1evXl1yngMHDmDt2rXc/u8lFhNPRBmNpUuXykrv6upKRETLli0jItKyHfTx\n8SEiolu3bmnlBUAAtAyZly9fLkuGggKArN0PGzRoQETafjT1ERcXJxguNHvOGv4L+fMUmj1nvcjL\nfUXNzMwEwwtj9rxs2bJka2srGMe+b+qwxu1i9yg2ey52j0Tis+eOjo505coV0XyahISEEBHfJ6k6\nYosIdH1f27Ztk1x/UabUtjRZz+ELFy6Eo6OjlrOP0NBQpKamws/PTysvEcHOzo5z0cUixWbOmIh5\nP/fz8+Ncr+3atQtVqlTRWU5cXBy2bNmC6dOnIz4+npc+MTFRME9CQgIqVaqEtLQ0veUDef4YGYZB\njRo1UKVKFZ37sAPgvMhPmzYNU6dOlVRHhw4dkJOTg5iYGFSpUoWzTywsJkyYgNWrVwPI2+NI3TtP\nSkqKVvrs7Gw8f/6cm1VXb62K4ePjw+1lrlKpJMmVnJyMTZs2oVmzZlyYPjvNrl27gmEYbs8fItK7\nmV25cuV4FgLNmzeXJF9xo8TMnuszvhVDvZupaRZiZ2cHIsIff/yBBw8eYMyYMYLpgLwu1vfff2+Q\nDIaye/dubt04y8OHD9GjRw9UqFABISEhmDJliuDugepcu3YNPj4+GDlyJJydnbndC4G87jQ7w8vC\nMAyCg4NhZ2eHhQsXckb/umjUqBG33QURoXLlynrzqD/nrl276ky7YMECtG7dGgcPHkTv3r1x5coV\nWa7L8ktCQgJq1qyJ+Ph4pKam4ocffkDPnj25+OjoaMF8VapUARFhxIgRePv2Le/ZC+Hg4IA+ffrA\n1dUVFStWRM2aNfHw4UOdeYYMGYLg4GDuXTl06BDmzJkj6/6srKyQlZWlM41mo0HKFiXFEhO1cE0O\nADpx4gQREQUFBdH79++1uhZsF5GIaMOGDdy5v78/+fv789LWrl27AKUVJjAwUFI69SWSQqivrb95\n8yZvQzB9Wyrs3r1btnG7JmLLKNUNqidMmCCrTG9vb951o0aNZOXXhVTj9t9//507T01N1YqfNWsW\nbd26lYiIhg8fTkR5y01Z9Bm37927l8aPH88Lk7IogF32qwvN34LmViNi3XOWcePGaYXlp3suZ2ih\noCkxLU25ZGVlwcIi7/ZZD9rq/4z29vaiG12pe365cuUKmjVrxlvyV5QIDQ3FkCFDdKb56aefuPOs\nrCxcunSJ22ROH5UqVUK3bt1ky6TPw35oaCiGDx/OXbPdXimkpaUhLCxMlkxyePfund40oaGhvEmU\nbt264cyZM7w0nTp14p7Dzz//jNDQUFleggYMGIABAwZITs8iZRiANHpSmluNDBgwQO92zN9++y1v\nGxT14YFijam1toLhBAYGUkpKCqWkpNDbt2+pefPm3LWHhwc5ODgQAEpJSaEDBw5wcX379uXOU1JS\nCAD973//ow0bNlCDBg24POPGjSMAFBkZyaVj8zx58oRSUlJo+/bt5O/vz02OscfmzZvp8uXLBIBa\ntmzJhVevXp0qVqxIPXv2JACkUqnI1taWVCoV7dy5kwsrX748qVQq7rCxseHOLS0teXFSDmO3NNkW\nnpeXFxER73nm5uZSamoqpaenc2EqlYqXRv3IysoSDN+7d69geGpqqqC3KKLCcxoTFRUlO8+gQYMM\nrq8otTTWmx8dAAAgAElEQVQVpVmMkdo9zw+G7HhorO65MTGm0hSbIdfFmzdvZOeRsvZcE2Os2ZfC\nqVOnZOcZOnSowfUVJaVZImbPDdmRT6H4InfzN2MjZ7+fkkqnTp0Ktb7ff/+9UOvTRYlQmoYwevRo\no5WVkZGBLl26GK28/PDDDz/g2rVrmDt3ruy8Fy5ckJTus88+g62trawZWHZ3SKnPnU0nNf3hw4cx\nevRoo36vcoiKiuLOX79+LSkP68auTZs2kuupV68e7OzsRL29C1lKhIeH48aNGyhbtqzkeliv8urj\nylJp0aKF7Dz60GciVaiYuqlrDIKCgmTnETJazw+meJRi3XMAdOTIEcnlNGjQQLQsse65hYWFaHlC\n3fMpU6ZQhQoVBNPrMm7XdFtHpHsRwblz5wTDjdk9b9y4sWA4AFHZhLrnrHE767hYE7HuOZtPTAYh\n+vbtS0+ePCEiotDQUNH8LNeuXaPFixdz5WlaI7i5uemtXzNPfrrnTZs2NTivsSm1LU0vLy+cPHkS\n2dnZCAkJ0Yo/efKkaN7c3Fxu5r0oYmlpie7du3MtHn2tzoiICM4GNSwsjGtliNGlSxfOZs/Pz0/S\ntsBOTk6cTayzs7PemdfMzExcvXoVQUFBGD58uKT9nKytrdG2bVvcuXMH+/bty9de24ZgYWGBadOm\nAQCqVaum9zlmZ2eDYRjs27cPI0aMkFQHwzDcfX3xxReYMGECL379+vWC9fj5+aFatWogIvj4+Oh9\nJz766CPMmTMHO3bsAJD3XuhbO16+fHmkpaUhPT0d33zzjaR3qThSIpSmpvG1Pq5evQoA6Ny5Mywt\nLdGtWzc4OjriypUrXJoBAwbAzs4OQN4qjLi4OC7O3t4e2dnZGDx4sORVGQWBepeQxcfHB5mZmfDz\n84OjoyN8fHz0Kvjw8HDuh9ioUSNYWVnpTJ+eng4fHx/4+flh7969WuuqNRcaREREoGzZssjOzoaP\njw+ysrIkLQT45JNPAOQtHNDnTZ5hGGRmZoJhGAwfPhz169cvVJdia9asQVZWFogIMTExePHiBXr0\n6KE3X5kyZQDkmRz5+PjoTd+uXTv4+Phg8ODBOHXqlKTxfAsLC/Tt2xe5ublgGAY+Pj7c3uX6YNet\n+/j44LPPPtOZ9t27d7CxsYGNjQ3Wr18v6X6KMuyqNC1M3dQ1BkJdOCmMHDmSTp8+TYcOHSIiftdi\n48aNNGnSJO6aNW4HQNWqVePSsptPffrppwbJkB/0fX0JCQlERNSyZUud6ZycnLjzmzdv8rp/umbP\nX79+Tb///ju1bdtWirg8PDw8uHOh7rnmOnjWCJxI2hr/O3fu8K4Lo3uuybBhw7hzoe65+j2yxu1z\n5szhwvTNnjdq1EjLx8D69ev1yhUQEEB//PGHzjRDhgzhXVtZWfGuxbrn6gwePJh3XZy65+qe6zUp\ntUrziy++4F1/+eWXvGt1RSKmnFavXk1JSUmSNtAqCArjP88QkyO5qK9AkoIhjlFMoTTVKSyTIylK\n0xhIUZqaqG8tI5fCVJqRkZE0Y8YMcnBwEIwvEdtd+Pr6crOzhnLz5k306NEDT58+5boZ1tbWyMrK\nwsuXL2Fvb89111mePn0KAIW6xlkdhmEKvO6nT5/KriMxMRH29vaS06tvKyKFpKQkWTPBQN6Y6o0b\nN2TlEcOQ5162bFnZ7vTEnv2JEyfwySefCO4vX79+fdy6dUtWPT4+PrK95zdt2pQb5pKDoe/rq1ev\n4OzsbFBeuSQlJWHixInYvn278Lh4oanvAsTQ7nlxpzC+vsKoQ65xe2lpabJDP3Ioyi3N4sKaNWuo\nZ8+egu78iErI7Hl+W5kKpoXdxlaBj/p20gVJ3bp1C6Weok5qair69OmDpKQkHDp0iNtvSZMSoTRL\nK5pu4RSKLoa4DezVq1cBSKIghkqlQnBwMGeC2KdPH8F0itI0AocPHza1CApFnHnz5snO89tvvxWA\nJAq6WLFiBTw8PHSmKZVK08zMjOfeS9O4nZ3w0fTmDuRNAjAMg4kTJ3JhPXr0KDLLKBWKJlI8z5cG\n1F3FyYUKYc566tSp2LVrl840xV5p6vMmLQQRoXz58vDw8ICLi4uWP8ixY8fi7NmzSEhIEMyrUqlk\n+XcsKkj1kamO3IUDCsIoW0wXXdStDTw8PPSulir2SvPFixcG542OjuaW57HOEwAgICAAR48eRUpK\nCkaNGoW2bdtycQzD8PZ76d+/PzIyMorF9qT5+ZdXyB937twxtQgKAuzZswdv3rzBu3fvMHToUERH\nR2PRokU68xR7pWkIzs7OGDZsGIiIW2K4ZcsWXprly5dDpVJh2bJlPO8/mzZtQs2aNfHXX39h8+bN\nWLx4sck86ygomIrY2FhTi2AUEhIS0K5dOzRr1gz79++XNIxS7I3bY2Nj4e7uLivPvXv3dJpZNGzY\nEH/++SfKlCkDX19fXL16FU+ePBFMe/jwYdSoUQNeXl6yZDAGjo6Osu799u3bqFevnqw63r59iwoV\nKkhOn5aWBltbW1l1yCU+Ph5bt27F9OnTteLUt7lYsWIFOnbsCC8vLzRt2tRoxu0qlQqzZ8/G3Llz\n8fDhQ7i5uWntvBgWFoZz584hMjISt2/fxoYNG+Dt7S2rnvDwcNl5Xr9+rXenT131sOfh4eFwdHSU\n7OZOKnfu3DHYH6nQhobGYMiQIbh27Rru3buH5s2b4/Lly1ycUH2lUmkqKCgUPwpCaebk5GDIkCHY\nvXu3YLxQfcW+e67+r6CgoKAglV27dmH27Nn46quvQERay6TFKPYtzapVq4p2nRUUFEoOBdHSbN26\nNdLS0kSHboTqK7qedAsQYz98Kysrcd97CgoKRsHYDo0ZhsGWLVtQs2ZNWb4/i3333BCioqK4cVDN\n8dCQkBAsW7YMgPCXxBq3q2OIraiCgkLhwXorYvcaYn/3EydOlO0sudR1zwcPHoydO3fi/fv3KF++\nvPDsGMMgISEBKpVKayY4Ozsbffv2xaFDh7gwua7QFBQU5GNmZobc3FyD8zMMg7dv36J8+fKSW60l\nciLIUH7//Xe0atWKu1Z/iNOnT0fFihVha2uLNWvW4Msvv+TiBg4cyClMNo+Dg0MhSa2goGAI48eP\nR/v27bW2ZjGEYq805U4C7dy5EwkJCUhISMCff/6J8+fPa/3r+Pj4IDQ0FMC/e7gAwLZt2/DRRx9h\n6dKl6NSpEwYNGgQASitTQaGIc/r0aaxYsQJLly4FwzCYMWOGwWUV++65IYSGhqJ9+/a8MHZy6Pz5\n82jXrh2vWf7ll1/ip59+0iqH7eorKCgUPHK658HBwUhPT8d//vMfJCUlITExESkpKTh58iTP2Y4+\nSqRxu4KCQukgP2Oa5ubm3NbbcrZ2VsY0FRQUShUMw8DLywu5ublYtGiRLIUphqI0FRQUSiRbtmxB\nYGAgbt++jblz5xptE0Kle66goFAsCAwM5Llw1EV0dDTevXuHqVOnwtPTE5s3bzaoTmVM8/958OAB\natWqZZSyateujaioKKOUpaCgkD8YhkFYWBgaNmxolPKUMU3kPdSqVasCgOCgcnp6OgAILotMT0/n\nDpaoqKgSZaeZmZkJa2trg/OrPxu5iK2syk+ZxY3SdK9yMTMz07lc2dzcHGlpafD29hbdFM0ochRY\nyUWUnTt3wtraGmXLlhXcOrZJkyYAIKg4bGxs8Ndff8HGxqbA5TQVzZo1k5TOyclJcEkpu4KKjbOx\nscGFCxe467179yI+Pp67ZvMzDAMrKyveNXs+btw4nrf84s7EiRMFnx2AfPsinTx5Mo4dOwYvLy9e\nHe3ateNdz507l7tmfctqfieTJ08GwzD4559/kJaWZvS133LJzc2FlZWVVnhiYiKWLFmC3NxcdOnS\nBQzDIDg4uOAEMeIe68WCnTt3EhERANq3bx93HhcXR0REERERFBAQQKGhoVycOjNnzuTC2Th7e/vC\nEN2osPJr3l/Dhg258DZt2lDdunVpxowZNH/+fPLw8OClDQgI0Mrv7e3NnVeuXJmsra256507dxIA\nevXqFS+fnZ0dLV26VFBGofOSAgBas2aNVhgACggI4K7Zz9OnT/PSCT1/oeuQkBDasWMHd92zZ0+a\nM2eO1vPVzNuoUSMCQLdv3xYs2xQ0bdpUKywgIIAuXbpEAQEBVKZMGd67nd9DCNM/hXxQuXJl2XkA\n0NixY7nzhQsXUt++fbXSEBGpVCpeHADq27cvzZ49m2rWrEnnz5/Ph/SmBQDFx8eTjY0Ndw2AGjZs\nSMHBwZSQkMD7wQqd/+9//xNVmtevXycANGDAAF6djx8/5pQmADp69Kj4y1mClab6c+zbty+dOXOG\nC2c/9+/fz7vevXs3ERElJycTABo8eDABoPbt2/PKFapDPeyvv/7ilCYAqlOnDgGgtWvXCsqprjTZ\nRoOpYJVmTEwMEREdOnSITp06RfXq1aO+ffsaVWEqSvP/6d27t2A429IkIpo9ezZ3fuvWLdGyAJCF\nhYVsGYoC7AvBKk2Whg0bEsMwdOHCBUFFydKgQQMubsWKFVw4qzR37drFqwcA7d27l4iIXr16xavX\nwcFB8Dk2bNhQS96ShLm5OTVp0oRiY2MpNjaWiLSVZtWqVQkAderUid69e0exsbGUk5PDpRs/frzO\nPxcANGPGDO6crUdKS5MNL4pKk8XV1ZU6duxodGWpKE0drF69mk6cOCEY5+npyfsXV8fV1TXfdZuS\njRs3EhFRjRo1eOGdOnUiIv79Va1aVSu/l5cXubq60tdff80LZ180V1dXrozLly9z166urpSQkEBf\nfPEFL596vKYsfn5+dOfOHYPusyhiZ2cn+qNkGIYAUJkyZbgwMWVGJK40LSwsCAA3PKKpDDSVpphc\nmkrTlDAMQw0bNqR169bRs2fPePdTrlw5RWlKwRhKU0E3AwcOpM6dO5tUBrHeQWkAgFZvQBfr16/n\nhp+MSVZWlkmV5ps3b4hhGF5Lc926dQSg0FuaxdpO09XVFc+fPze1GAoKBcbSpUsxc+ZMU4tRJJg1\naxaWLl2KdevW4dq1a/D29sbs2bORkZFRYHUKqUdFaRZTpG7Z8ebNG7x79w5JSUl4/PgxypcvL7mO\noKAg+Pr6ypJr1KhRCAwMlJy+Q4cOOHPmjKw6Nm7ciDFjxugt95tvvkHdunUxfvx4o25vIsf0pnr1\n6nj//j23Re6dO3fw8uVLLS9bpQm53zeLmZkZiIhTmkFBQUhNTTWydHwE35sCblUXKM+fP5ed5+ef\nfzaqDKZ6hIbU++rVK1npV65cKbsOdZMjKRjS9Z86darsPMakcePGsvMY8n35+vrKzmMI9+7dMyif\nIeP6aWlpsvNMmjSJrl27xo33FuYhRKkybl+zZg2GDx/OM6BW58mTJ+jXr59gHBumGW6s5ZiFgYVF\n0dtH7+TJk6YWQcFADNkby5CFIatWrcK3336LnJwc2XkLglKlNFmISLB7W7VqVQQFBeHq1au4d++e\nYD4zM/4jM9W68wYNGmiFMQyDy5cvi67q0Vxt0rZtW6Snp+PNmzeSHSForhqRmkf9U2r6169fY/To\n0ZLybNmyhTtMgXq9ycnJsvLcvXu3QGQqaOLj441e5rVr17By5cqivZxUdlu5CCG3e7569WoiIpo7\ndy7X9P7oo49o06ZNXBoAXBfTwsKC9u/fz4tj+eSTT+jBgwc0d+5cg+XPD6ydpCYA6OHDh5LLAaBl\n3M8i1j13d3cX7WYJdc/j4uKoQYMGgnIJvYKHDh2ijIwM0e6RWPdcl1zGRKh7/vz5c2rQoIG4mYpA\neGBgIC1atIjatWsnmEeoe/7hhx9SSkoKubi4iMonNATF1l++fHmtOLHuOQC6ePGirHsCQD///DMB\noJcvX4rKqI/x48dTYmIiV4eTkxONGjWqSHTPS6XSBEDZ2dlUtmxZrYezf/9+3hI21txjzJgxXNqa\nNWsSkLc8TX2ZYGEipjQHDx5M1apVIyKisLAw+uabb3SWY21tzd3/d999x3sWQkrTxcWF3r17R0RE\nbm5uVKFCBV68kNJkVwcdP36ciPJ+ACy6fpB16tQhojzjd3WElOb69evp6NGjRERUt25dwTKNhdiY\nJvDv0lxvb28aN24cL04sD0ufPn14cWJjmup5hJ632Li9WD5dY5rAv3aausrTDNdlBN+iRQvROCKi\nK1euEBHxbEzZJbiK0swnhkwEadq8zZw5k7p160ZEeUuzzM3NubjXr1+Tl5eXVhlWVlZElLeW+sGD\nB7JlMAZCSpO9tyFDhpCnpycREX322Wc6y9FsmamvwhFSmjY2NtxBRLRnzx5evNCP2MzMjIiIe7ZS\nlCb7jImIRo4cyYvTVJrsChn2ePTokWCZxkJIaZ44cYJmzZpF5ubmlJubS0T8exC6T/Z5sHH16tXj\nxQspzY4dO9Lbt2955WmWLaQ0e/XqRbGxsVSpUiUiyvveT548SUTiSnPNmjW0detWrnxNZSh0T2Fh\nYWRubs7Lo4lYb4ANZ3sZ1tbWNGjQIFq3bh1ZWVkVGaVZrMc0K1euLDtPWloa79rf3x9HjhwBkDem\nqe4O38HBAbdu3dIqg7ULGzRoEGrWrClbhoKCvbft27ejadOmOHfuHOrXrw8AgrZ+YWFhvHHOadOm\nISwsjLt+/PixYB3sUaVKFfj5+emVix3Al7rVQFhYmE4XYJqwpijsYQovVJ07d8aSJUuQnZ3Njcnq\nuwf2eZAMc6hTp06hfPnyXB5fX1/cvn1bb77ExES4ubmhTp06AIAuXbogIiJCZ57g4GAMGzYMQ4YM\nQXJyMs6ePat399cJEyYgOzsb7dq1g4+PD+ddSR1nZ2etfBkZGdz3Zm1tDSJCjRo18PTpU4wbN07W\n+1DgCKpShSKPWPdcDLY1LQdDXg+5JkdS6lAfVybSb3KUkJAgSwa5SDE5AkBbt27lXetDSktTnV9+\n+YWAfz0isegzqxs6dCgFBARQ//79iUieyZH6fUi5JyFPTGXLluVds8M9kZGRvLLVHbuY6hCi6Nmg\nKEgiIiJCtn9DQ/whFkQea2trZGRkoG/fvgAgyYB+79693HlERASio6NlyRQUFCQrvS7YFviZM2fQ\noUMHwTRkgDF9ZGSkrPSDBw/G4MGDZdezbds22XlY5N6Xp6en3jx//vkn9uzZg5SUFNStWxf+/v6c\nhcvy5csxbdo0g+UtCBSlWUxp0KABwsPDJafv3r07NwwhFamrjtRp2LAhr4uvDycnJ9kKbdq0aVi+\nfLmsPMbEw8MDQN6qo6ysLFhaWvLi4+LiBG0Knz59KquetLQ02XmAvK54YTkMNqSesmXL8q67du0K\nb29vVKlSBQzDoFWrVmAYBp6enpg2bRqGDRuWL0VvbIqt0uzVqxd+++03WXkMUQL6uHjxIlq1amXU\nMqXg5ORU6HUWBDt27DC1CPlCU2EC4mPtcndDtLW1NWgHRXt7e1nv+f379+Hi4oIKFSrIqseQ39OD\nBw/QuHFjvH79Go6Ojly4hYUFGIbB7NmzsWTJEgDAo0ePAOSvZVwQFOuJILl4enoCANavX4+dO3dq\nxbP/mjNmzNDqKokZdbdu3bqApNXN6dOnReOuXbtWiJIolATGjx9fKPXUqlULDMPA0dERUVFRYBgG\nBw8ehIuLC1xdXTmF2b1790KRxxBKldJkv4j58+cjISFBKz4mJga7du3CsmXL4OXlxYsjIri4uBi9\npWpMGIbBn3/+iVWrVklKX6NGDWRnZ+PLL7+UXMfSpUtRt25dLSsEfXJduHAB//nPfySnB4ARI0ZI\nrqNjx45gGAbz5s2TnMeYDBo0CEePHsXu3bvx9u1bSXlmzZrF+5STR+j91YWu8dLC6rXcuHEDW7Zs\nQVJSEmJiYrB161YQEa5evQqGYXjOd+QOJRUqeqe/iig9e/aUnWfChAlExPe4fubMGTp06BCXxsnJ\niQICAujGjRvcFgRERKtWraLr169zedS3zChKsPIMGjSI50BZaPb8xo0b1K5dOy6PpsNloXvbtm0b\n+fv7C6YnEp4917QrVIc1SFfn+vXrBq0IKqzvQpdxu5gMYuHsAgshhGbPw8LCqE2bNjrvVWj2vG3b\ntvTkyRPBfE+ePNFyCs3KfPz4cRo2bBidO3dOMF4ozN/fn8aNGycY/8EHH5BKpeLStm/fnoC8RQHQ\nM5NtikOIovWLl4EhShMADRo0iHJzc7kHYmlpqZWGhf1y2XB1Zcsq4KioKNlyFBQAKCsri9tLRt30\nRszkCADP2PjmzZvc+eTJkwXT67oWUprsDykoKIhSU1N5eYSUprpcWVlZlJKSQuHh4VyckNK0tLSk\n7OxsIiJKSUnhLVIwNmJK09LSklvFolKpJJnnAKDx48cTUd7CAfV3TsqKIJVKxa2gYZGyIkilUtEf\nf/zBXQspTdbxMJvv7NmzouWx3L17V1TpZGVlcZu1AaAlS5aYXCkaojRLVfeciLBz505uADs5OZnX\nlVUf2H78+DHPIQH9v+F0VlYWGIbB6tWr0aBBgyLl5YiIYGFhwRmc9+rVS1I+1qi4X79+aNiwod46\nWI4dO6ZlDqI5c56ZmQkiwsyZM3H58mVZW9Ta2NjAwsICzZs31zlLe/78edStWxeNGjXC27dv0bhx\nY3Tu3FlyPcZg69atWLp0KT7//HPExMRIMsY2NzcHEWHt2rVITExEWloa6tWrpzNPy5YtudnxI0eO\n4PLly5KGPTp16oQnT56AYRgcOnQIKSkp6Nmzp8486l6xkpOT0b17dyxduhTv378XzcNuBwwAKpWK\nNw+QlJTEc8Qxe/ZsAOAWYBQbBFVpMaAYi14oQOOfUuh5VapUiTIzM4koz3mEZh6hlqZmHYGBgbLk\nYuthEWpp1qxZk7Kysogor+USGBiot6WpWQe7jLQgkOpP8/fff+fOpbyvmv4ppRi3nz59WqtsoZYm\nO7Q0ZcoUTh71fEItTTbd7du3KSkpiTp06ED+/v504MABLk4sDxvHft/ffvstnT17lotj5S7qh+D9\n6fpSijKlXWl+9dVXgsevv/5KV69e5YUR/bs52qxZs3jlZGZmcjsUaqJPaRoDse55UUaK0ty0aRPn\noIRI2vu6YMEC3rU+pRkVFUUtW7bUco4hxdF2o0aNaOLEidy12JgmK3dmZqakP+L+/ftz4Y8fP9ZK\nd+fOHQKg1Y0vqocQxdZOc/Xq1aYWwaRs2rRJZ/zHH3/Mu2bXDLMmHQAQHh6OBg0aIDU1FbGxsXjz\n5g0vT3x8vCwDekOIjo6WXEezZs1w5coVrFq1Cl5eXpg+fTrCwsL0DikA/GGF/HLjxg1JdQJ55mss\nUvIcPHiQO//nn3/w4sULdOnShbtP9eGPWrVq4eLFizIk/5cbN27oTaP+zCwtLSU9wx07duDXX38F\nkGed0bBhQ0RFReHZs2fIzc3lhi0uXLhgkNxFgWK7R9ChQ4f0jsloYmzj9vT0dJM4hzAEQ+59ypQp\nWLlyZQFJlMexY8fw2WefFWgdxqZJkya4fv26rDyGPP9+/fph//79svIAgJWVlSwHF7a2toIrm/SR\nnp4OMzMz5ObmcmE2NjZF24GwTIS+s1IzEfT+/XtMmDDBqGVWq1bNqOVJRc5kikLRwN7evtDqkrsN\nRVpaGv7zn//wPFhJOQDg888/53mYSktLAxGhT58+2LBhA9q1a8ctmyxqK3sMpdQozdu3b2P16tXc\n7KRQC5FVglL3B3r58iUePHhQANLKJzc3F7t378bff/+NZcuWScrDppOa/vHjx1i2bBmWLVsm2bhd\nfQ221HoUig/qwwkA8NNPP2HgwIEIDg7GmDFjcO7cOSQlJQEAhg0bZgIJCwC9I8ZFlN9++01WevVb\nZc/DwsI4m0Y2XN1zu64yWExhp6npSJkFumb8BMLZMLE8YhNBcl8bAKKu7IQmgvTJpcnz588pKCiI\nGjVqVOBu4YiEJ4KE3i+xeBZ2m5Hjx48LTt4ITQSxeZ49e0Zr1qwRlE+orkuXLgmmZRGbPSci0YlC\nANSrVy9eWFBQEBERrV27lpo1a0YA6MGDByaf0DH0EKLUtDQPHToEALCzs0NsbCyAvPW2N2/e5NJc\nvnwZ/fr1w/Tp07F//36oVCoujh2Tys7OxtOnTzFx4sRCW68rFScnJ5QpU4a7rlixIne+fft2rfRt\n2rRBeno6Xrx4AQC8vGKUL1+ea2Xqc0jLcv78ec6VW8uWLeHu7q4zfevWrZGZmYl69eph9+7dcHd3\n17n5WOXKlRETE4NJkybB0dER7u7uGDt2rCTZjEV6ejrKlSuH/v37459//tGK19yQD8ibzOzatSu6\ndOmC/v37S6onPj4eb9++RZMmTWS5hVu4cCGeP38OhmF49rtsK1CIJUuWYNu2bXBzcwPDMLxJp7i4\nOK30ycnJ8PX15RxvXLlyBbm5ubh//75kOYsFOv9+ijDq5hxS+Pvvv7lVPER5+8hYW1vzHKLGxMTQ\nqFGjiIjI0dGR+6fZs2cPubq6kqurK7dK4u3bt9S7d28j3Il8hFqaMTEx1LNnT9q8eTPt3r2bnJ2d\nydHRkYs/cuSIYFnsPa5YsYK3GoVIu6UJtX/gnJwccnZ21ivrs2fPqE2bNrRixQpuNVBcXBwXr2tF\nEFGe6c6zZ8+4cKHlfGlpaQSAnj17Rjk5Ofna0EsKUpZRent781oqQhuaERFvM7aXL19KXhGkXrbm\nz1jsZ62eT7MMXXaaH374IdWqVYvS09Np9uzZRJTX+oRGS/Pdu3daLTWGYbhnURwPwWciGFpK0Hww\ntra23PnChQtFu1nBwcE0YcIEwR9wYSDWPWdZuXIl9e7dm7dHjZDSDA4Ops8//5yIiHr37k0AeMso\ndcHu2eLm5iZD8jzUn6s+pcnCGreLPfM9e/ZwBtxxcXGiL7wxEFOay5Yt4zZWI+Lfg729vWAeALRx\n40buXFNpxsTEaOWxtLSkb7/9lssjR2lWrlxZMI0upamuaPv06UN9+vShkSNHainNrKws3maFbLyp\nFRdIVFIAACAASURBVJ+iNBX0Kk0WdvdNImGlyTreYDl27JgsORITE2WlJ8r74amPxeka02TP1a+l\n/FHNnDmT/Pz8ZMsmFaHtcx89eqQltzpC39msWbO4dCEhIVr3KqY02TTsdhcAuM3chOoWC9clL0v9\n+vUJACUlJfGUib+/PwGgWrVq0eLFi7l3CQBn4O7q6mpypVcQSrNY2mnu2rULgwYNMrUYJsPW1hZH\njx6VlPbq1au4c+dOsXH2W7NmTTx8+BBmZmZQqVRaRvpv376V7SwXyNuawliUK1dOa/21plyhoaEA\ngPbt2wPIMw7XNAU6e/YsfHx8eGF2dnZISUkBkGen+csvv/AsPT799FPMnDmTKxfQtgEVsgn19fXF\ngQMHQES4ePEi5weWTSeUp06dOoiKiuKl8fDw4G24V7FiRZQrVw7VqlVDaGgotwBh3LhxWLduHXx8\nfHD27Fmhx1gsEFKPxVJpLl68GHPmzDG1GCbDEEPpkJAQdOvWTXL6P//8s1AcLOfk5MDc3Fxy+vPn\nz6Nt27YFKJF+GjVqJGsljp2dndFlYBgGtra2yMzMhJWVFReemZmJ7Oxs3iSmFFJTUwXzZGdnc447\ncnJyMGfOHCxdupSzyTQ3N4e1tTWXPzU1FUCes4/c3Fye4XtxROh3VmyXUSqUDOQozKIC2wqWChGh\nfPnyePfunax6+vXrh5UrV6Jq1aqy8jEMw7VWjZUnNzcXLVq0wP79++Hp6Yl79+4ByFOkdnZ2SE1N\n5RQmIH275uJIqTE5unTpklHLu337NreHiUIeW7duNbUIRZbi+Oewa9cu7lylUmH79u346aefMH78\neCQmJgLIWxCyZMkSBAYGApC2s2hxp9QozZYtW+LMmTO4cuWKYLy6X8gTJ07oLa9evXqoWbOm0eTL\nL+xqJYZhJCnzqVOnck4TpO4oKLZPEsvw4cO1wtiu3alTpzhHDrrYv38/Ro8eDQDcpz4iIiIwevRo\njB49WnYLS0GcKlWqcM/1q6++QmBgID7++GOMHDmSs+mNiYnBqFGjMGrUKAB5WyUPGTLElGIXPILT\nQ0WcRYsWyc7TokULIhJfNVOpUiUiIqpWrZpWXFhYGIWFhemcfSxMxOoFQJMmTRKMe/funWg59+/f\n14q7cOGCYDkbNmygH3/8UTCO9VquTm5uLtnZ2cl6VmxaoTxCs+fv3r3jvh/We3tBYsiKICGTI4Zh\niIho37595O7urhX/zz//aM2ejxkzhry9vcnb25uzmdQli1SE8oSFhRERcZ791X877PNmt6tgjxo1\naph8xtuYh+Czkv10iwD5VZq3bt3izufOnculcXd3J3Nzc86AXR32mjWkVg8rbITqzczMJBsbGxo3\nbhxlZmZqKTAhkyMzMzPevfz0009cnJDSDAkJ4bb7SE9P1zKjEVKabNkTJkygwYMHk42NDVcn62hY\nk9atW3NKnn159dlpaiqtgvxuGjZsKCpDnz59KCYmhnJzcykjI4OLE7PTbNKkCa1du5a2b9+uFSdm\ncsTWJYZQ3MCBA7lnr7lVjLqBvTo//vgjWVpacs8zNDSU/P39ae/evTzFMn36dJMrN0Vp6sGQHwQA\nWr16Ne3cuZNsbW2pVatWWmUBoHnz5tH06dN5cQBo8uTJdPbsWbKwsKCLFy8aLIcxEKq3Xbt23CcA\nateuHbciSNO5LcvNmzepTZs2RERUuXJlzvCZSFhpar5QTZs25cULKU0ANG7cOPL09KRXr14R0b/7\nO82fP1/SParvbySkNFmbwbNnz1JmZialpqbS999/L1p2fhH9Man90FjjfxZdxu3q75l6HjGlWaZM\nGRo0aJBgHl3yubu7k5WVFf3555909uxZOnnypM48y5cvp0qVKhGQ14Jn62rbtq3JlZmiNGViiLJi\nXzJ1pk+fzmtpsuWGhITQ9OnTKSUlhYjyuk+si/+pU6cSAPr777/pxo0bhoifb/Tdv5+fHyUmJnJK\n87///a9WmjNnzvDKGTlyJDVr1oy7Fuueq8vw6NEj2rVrFxcm1tJUp0aNGty5mNLctWsXty0DEfG2\n1JBi3F7Qf2Zi5auvCNL80elSml9//bVgHiGl2blzZwJAAQEBFBAQQGvWrCFXV1e9xu2//fYbAaDk\n5GR68OABNW/enGtIsHnWrl1LRMRzWAOARowYUaJbk4rSlEhiYiLnkYXo3zFNIuJeECF69+5NderU\noQcPHuRbBkORcv/qa/PFWprqREdHc9sTEOlXmocPH+Y9PyJpSlM9j5jSVB9+0Rw/lKI0C3J/ICLh\n5x8ZGckLd3Fx4e0RpEtpsgQFBWmVLdY9P3HiBMXExNCaNWuoefPmlJOTo1O+S5cuUVBQEHfMmTOH\nl45Vmuy21deuXdNSILdu3TK5EisKSrNYGrcb2wN7cYNhGM5TkxR++OEHeHt7Y/LkyQgLC8Phw4fR\no0cPXL16FU2bNgUAzvNQbGysXi9EBQVrHO3m5gYiEpylz8jIgLW1teyy5TwvfQi9f5pyPX36FADg\n5uYGAHBwcNDaTsTCwgLPnz+Hs7MzV25sbCyXB8jzJKXLTpN9Rury6Pt9vH79GpaWlihfvjxycnJg\nZmYGhmGwdu1ajBs3jnsHduzYwS0iefbsWan8zQndc7FUmnPnzsWiRYtMLYbJkLvNxvfff4958+bJ\nqsOQPya5Wx0sWLAACxYskFVHUVgRpP5sqlSpgmfPnqFKlSo687x48QKVKlXSCs/KyuJtFW0sQkND\n0a1bN2zfvh0tW7bUm569j5s3b6JRo0aIiIjQ2oZk3759kl3YlRSEfgPKiqBSQDH8Xyw2PHv2jPcp\nhoODg940mixfvhwDBgwwaEWQp6cnZ7MaFRWF2rVrc/F9+vThpWd9ao4dOxZnz57lDNc1KW0KU4xS\nY9xe0lE3bpeTHgC8vb0l5Zk1axZ3SIVNK3X3wZCQEM6Jr5x6SiLqCy7koj7EUrt2bezcuRPr16/H\n0qVLERwcjODgYHTr1g1t2rTBqVOnAOQNJYgpTAU1BEc6izhz5swxtQgmhTU2VufUqVMEQHCCSmgi\naMqUKXT+/HmdW2cIUb16dQoJCRGME5oISk9Pp/LlywuWJzYRxKatWbOmVpzQRFBCQgJnDZCZmSlY\npjERupfQ0FBu8qB9+/Za8WITQe3bt6f27duLuuUTmwiSKp+mf1R121HNPG5ubloTIcOGDSMAZGtr\na/JJGVMcgs9K9jdSBFCUprbSVKlU3Jdsbm5OHh4eXJzol6/2YgDgOS0WynP8+HHu2atUKm5FC4su\n4/aZM2cSEfHy6FKaFSpUoLS0NPrpp594jnnFZs8tLS3p4MGDnGwFia62BsD3bckipjRTUlII+NcR\nsSZiJkc6f9QA946wz4J9P9gjICCA/vjjD14eAHT58mUCQI0bNza5wioKh+DzFQwt4ihKU1tpssoI\nAPn5+fG+cCGnuUREdnZ2vCVymzZt4uI0Xxh2lRR7WFhYaKUResnUlfKAAQN4YVKM2wHQ06dPda4I\n+vHHH+mbb76h9+/fc7apuhRbftGlrE6cOEFERC9evOCl02Vy5ODgwJ0DoKtXr3Lx6gboLLdv3yYA\n9OTJEyIiioiI0CtfREQE3b17lwDQmTNnKCIigjZv3kx//fUXWVtbCyoM1iypNB+C35lgaBGnNCvN\ntm3bCipNdQDQr7/+yrvWhG1REP27lYR6On1KB8jz0K0Zpo+RI0eSk5MTEYkrzcOHD9Pw4cOJKG9J\nJQBuR0ShOkaOHMkdbBr1dJaWlnrlkoOQDOrdc+Df7iyLkNI0NzcnABQYGEiBgYG89FeuXCGivOWP\n6hw7dkzre/r88891Grerf78qlYp+/PFHkyuj4nIIfv+ib0YRRv2fuLSxfPlyvUrzjz/+0NlqJCJe\n/OvXr2nTpk1686hTpkwZqlixIi9MitJUT6NvTJOIqE2bNrKUOVGeolHvehaG0lRn9+7dWj86IaUZ\nGBjIPff79+/Tvn37tMrWvNbsnrMHuyGgeh47Ozu6d+8ehYWFaXW3u3btSgAoIyODvv/+e5Mrp6J6\nCFEs7TTFbN5KA+3atUNiYqLglrBihIeHw9vbG2FhYZLzNG7cGDdu3JAlm1zbzjFjxmDjxo0FWgcA\nfPTRR/j7779l5TGGDOrpHBwcEBcXh5cvXwqaEM2fPx/ff/89AEg2VE9MTISDgwO3KICIsH//fvTv\n3x+RkZGoV68emjZtiqtXr3J5OnbsiHHjxvG28VUQR/DZ6/zLLIKoLxcrjbRt21Z2HkO+ZjMzM1np\nP/nkE8F6bGxsRA8AOuP15WHPYWCLwVCAvIkWfUdOTg7XKxAb05RSly4mT57Ms4DYvHkzAaDIyEjO\nJd+MGTNo4MCBBICio6OpZ8+eJm/BFZdDiGLZ0izNtGvXDufOnZOVx5DWWWHkKSy5rKyskJmZKSuP\nXBkmTpyosyV/8eJFtGrVCufOnUO7du1w8+ZNrc3ZjM3x48fRpUsX7lpoIzd1xo8fjw8++ABff/11\ngcpVnBB81wz6+zMh7OxkaaWwWpqtW7cu8HoMkcuQPIU9pimEvb09xcfHS0r76NEjCgkJ4TwTqcN6\nIAoMDKSAgAA6dOiQlmzsMX36dM75TGn1UpTfQwhlGaWCQiFRsWJFSek8PDzg4eEhGDd9+nQAwMiR\nI3nhvr6+mDlzJte6jIyMxJw5c7gVPufPn4etrS3S0tLQokULuLq64sCBA/m4m9KLojQVFIox8+bN\nQ69evXDw4EGsX78ed+/eBQB4eXmBYRi8fPkSzs7OuHz5MpfH2JsMljaUtefFjIyMDFOLoGBiPvjg\nA1haWnJjq99++y2ysrLQrVs3njMOIuLczikYD0VpFjPEdtNUKPkEBQUByDOhysrKwtmzZ7Fnzx5c\nunQJ5ubm+Pvvv7ldItUJDg4ubFFLNIrSLAXMnz/f1CIoyOT8+fO864cPH2LDhg2YNWsWAgMD4eTk\nhA0bNuDRo0eoUqUKZsyYgY8++gjr16/XKkvTFZxC/lDGNBUUihChoaFo3749z9Fyhw4duPOlS5di\n4cKFqF+/PiIiIlCrVi08ePAAAQEBAGBUI34FEWTbTpiY0m5yBBOZXjAMQyqVSucBQG8aofQJCQlE\nRLR//34iyjOU13X/cikqJkcPHz7kbfCnzxtTeno6ASAXFxdukz82LDw8nPf9JCUlEQBuF0zlKDiT\no2Jn3F7a9wcqrfj6+iIoKAgNGjSQnCcuLg6VK1cGAERERBhNFqmOntXrbd269f+1d+VhVVXd+70M\nIteBRAO74oQTGnS/svosVEBLUssSp9JyRAw1c0TMnCXCoTC/R8EpM82wK6allRVdTTP9HJDU0lAx\nxQEU0A8EZHh/f9zf3pxz70XBLDTP+zzruefss/c+e+9zzrp7r7X2Wti1a5fN9UceeUTVNutQJuK6\n6HdKSgr8/f2xe/duNGzYEHXq1EFeXh70en2l2qWhYrDHazSmqUHDHYYIXDZhwoSb5lu5cqX2Lt/l\n0JimBg1/M/bv34/MzEx07doVV69ehZubG0aMGAEAaNu2rTxetWoV/vjjD9StWxeLFy/GiRMnEBYW\nJutZtmwZAMi0tm3bymuiDg13Hv8Ypmk0GhEbG3vTfbQaNNxt+O233+Dj44PLly8jJycHzZs3B2Dx\nQpWWlgZfX180a9ZMVebixYu4dOmSPO/QoQP+97//qeI6HT58+O/pwH2IfwTTrAhcXV1t0kpLS+Hg\n4ICioiKUlJTctHxUVBTGjx9foXtVJpSuBg2AxblHbGwsSkpK4OjoCFdXVyxZsgQLFy7E0aNHAVhi\nohcXF8tIknfa6YiGiuG+YZp/BwIDA/HMM8/gu+++q1D+H3/8EY899tifMgkxm823XVaJgICAO1KP\nhspj7ty5ePvtt+Hm5oarV68iMDAQDzzwADZv3nxbHqw0/LXQmOZ9jsmTJ9/R+nJycrBz50789ttv\nd7ReexB2iHcCwulFZbFkyRKMHDmy3Ov79u3Dk08+iWvXrqF27doyfd68eUhPT8eiRYswb9482YbS\n0lI4OjoiJiYGa9euRdeuXfH+++9j6NCh8Pb2ls9r1KhRqFGjBubNm4eIiAhZh4a/HhrT1HBf4Xa8\n+PTu3fuOtqFNmzY4duwYevXqpUoXbRPpGzduRK9evWzabDKZ7nibNFQcdtlj5Ux07w7g/w1PDxw4\nwCeffLKqm6PhPsZvv/2mOh8xYoQ8Pnv2LAFLUDg3NzeePXuWZ8+e5axZs3j27FkZWO21114jALZs\n2bLKjbk1urVx+z3LNEmyuLiYFy9eZH5+PqdOncqCggKmp6ezqKjopuU9PDxsBqS8QSoqKuLQoUNv\nu63p6encuHHjbZfXcPcgMzOT58+fZ3p6OklLqImboXr16qxVqxYBMCsrS/UxPvXUU3R0dCRZdbu8\nNLo9pnlPOuxo1aoVDAYDHB0d4enpiU6dOqG4uBhRUVFo0KABnJ2d8cYbb0Cn0yEkJAQODg6q3RJx\ncXHo2bMnMjIyZBrLkVI4Oztj1apVqrRNmzYBsNjg5ebmYu3ataqwAgLp6ekIDg6WDhMqs5vFGpMm\nTbrtsvawevXqu2IHiRhLADh37lwVtuTWqFevHh566CEYDAbodDq0b98eR44cscl3/fp1AJZ95Neu\nXQNJ1KlTR+WBqEePHigpKYFOp7P77mi4i3En/4n/DnzzzTecOnUqP/roIz700EMkyVatWvG5557j\nJ598wtzcXPkPsWTJEi5evJgAuGbNGlU9Li4uPHHiBCMjI0mSc+fOtXu/yMhI1T9OUVERz507x127\ndnHt2rXyHyk6OlrmmTp1KmvXrk3AEiqVpCoONgAOGTKEABgZGcmxY8fy0KFDnD9/PgHQ29ubJLl6\n9Wq+8cYbsh3KX1HPzz//XO5Yif3Ku3btUqV//vnnsnxFcOXKFZJkamoqv/32W5Lk7Nmzb1omOTlZ\nHivbrMSPP/6oaoPRaOSPP/6oynPo0CFVPbf7ysJq5rBgwQJ5vGnTJpLkBx98oCoza9YskuTmzZtV\nfYiMjOTBgwdJkhcvXmRkZCSjo6NlnnfeeYcA+PvvvzMyMpKRkZGcMmUKJ06cyBdeeIEA2KBBAzo4\nOFRq1tOxY8cqn3ndb2T3XbqtN7AKkZSUxKSkJGZmZkqmCYDr169nUFAQt23bxiZNmnDVqlVcsmQJ\nSTIoKIht2rSReV999VXu3LlT1jl16lQWFhayX79+qljcyuWTQGlpKQGwRYsWTEpKsrlet25dkqSn\npycffvhhmR4cHCzzGgwG6WDhyJEjHDt2LL/77juSpLu7O41GI0nyiy++oIeHB/Pz8wmAqampBCxO\nGZT3BWDjlMLV1ZWXL1+Wjh3atWvHjIwMtmvXjtOnT+eSJUv46KOPqtpuMBgIgGazmX5+fgRADw8P\nrlu3js7OzgwKCpIvkzgW909JSZFpX375JVu1asWgoCDeuHFD5p81a5YsExQUJJ8XaYmL8/LLLzMo\nKEhe//3332XbatasqbrnDz/8IK9NmTKFp06dksxd4I8//lCNk1LeqIT1c1SOSfPmzeXxkSNH5PGW\nLVuYlJTEIUOG8LnnnmN2djaDgoK4YcMG/vTTTwTALVu2sGnTpgwKCmJWVhZdXV3lH22bNm2qnCFo\ndJ8wTWvYe9Hbtm1bbv7CwkI5AxPIy8uTaS+99BJJMjAwkABYUlJCAFy6dKm8DwDOnz+fer2eKSkp\nBMCCggJVO65fv65qk6urK5944gkCYGFhIQ8ePEgA3L17t423GwCcNWsWt23bRg8PD6alpbFv376c\nMmUKd+zYQQD85ZdfGBoayqKiIslkreu4fv06t23bJhkXSTZt2pQkOWHCBH777beqNoaFhTEvL496\nvZ7Vq1dnYWEhX375ZflHoeyfmDmvX7+ezs7OfOaZZ6jX6+nn58eioiICkO0SZdasWUOdTseMjAwW\nFBSo/qBOnjzJ3r17EwDbt29PANyzZ4+qP3l5eQTAN998ky4uLvJZFBQUcOrUqQRALy8v5uXlsU+f\nPly8eLGczR08eJCFhYV0cnLivn37WLduXTnTBcDGjRsTADdt2kQAfP755+W1/v37U6/Xy7qefvpp\n2abq1auzXr163L59O/V6vapd3bp1k2k6nY4AOGDAgCpnBBrd50zzbsWNGzfYp08fVdqJEyds8imX\nn82bN6efn5889/Pz45UrV6Tiwc/PjydPniRgcQ3m7u6umr0pHzIAOjo6ctu2bfIFEMoINze3csuI\n35SUFNarV08ek+TWrVs5c+ZMduvWjTt37mS1atU4b948Dhw4kB06dJBuy5YtWybrKS0t5WOPPcYF\nCxbw008/ZdOmTQlYZqPl3Vv8/utf/yJJbty4UaZ37NiR8+fPZ0JCAps0aSLz+vn58fTp0wTKRCIC\nvr6+BMARI0bIegTTz8zMZKNGjdi4cWP6+/uzY8eOnD17Np977jk5buvWrZPtOXToEFNSUtinTx8C\n4IkTJ1QfGAB26dKFQBkjrii1aNGiypmERhrTJHl7/g//LEJDQytdpiLt/PLLL+WxEDEkJiayuLi4\nwvf5/vvv5fGtyinbJJgnWdY/ZT+t00JDQxkaGirDznbq1ImZmZkcMGAAFy1apKobKJPlWt9XnOfn\n58vj0NBQFaMCwODgYALgO++8w8mTJ3P79u309/eXM+2AgAACFnliWFiY6uOoW7cuAfCNN94gAPr6\n+vLKlSsELHJjAHzhhRdIko899pi876xZs6Rv0M8++0zWJ2Tas2fPJgCZR6N7i+x+Ezf9Yu5CdOvW\njWFhYUxOTqZer+fkyZMZFhZG0mIzN3r0aJk3PDycmZmZqs4r5WTWMxJrFBYWyuPyBtAakyZNqlA+\nkiwpKalwXiHzrCyEXO920K5duwr3+06ifv36qrG/Hezbt48JCQn09PRkeHg4SfLYsWPcsWOHlH0C\nlhn75MmT2bhxY5Lk6NGjeeDAAcbHx3Ps2LH08PBgp06d5Ee0fPly1qtXj0uXLpVphYWF8jg+Pl71\n+/jjj9v9GD09PeXxzeSb/fv3r3LGcT+TPdxzTFNoz2vXrk2SbNiwIRcuXMjY2FgmJSVJOdj06dMJ\nWOR6Qp5EWjxoA2B2djYBcPjw4SQtyz6j0cjQ0FAajUYpj7OWy90KRqPxlnaiAk5OTty9ezfHjh0r\n04qLi+nv7y/Pk5OTaTQab3p/pUxz/vz5zM7Opo+PD41GI7t27VqhttwtSE9PZ25urk167969K1XP\nK6+8QgDctWsXS0tL+euvv5KkSo5KkufPn2d2djZbt27NoKAgOZYff/wxfX192bBhQwKQz+DAgQM8\ncOAAvby8CIDdu3eXzPG9997j/Pnz+dVXX9FoNMqZrdFo5M6dO1XyTnvUrFmzKmcSGv0DmaboiOhU\nQUEBTSYTgbJ/fNIiU3R2dmZJSQlr1KhBAFywYIHUXubn57NLly4kyR49ejAtLU3FXKtVq6ZS0ACg\ng4ODPHd2dpZ1lZaWMjg4mNOmTbMZbOtyQhP+6KOPkizTAvfr149Hjhzh+fPn5Yeo7E/fvn0lMxbL\nVNFP8aE7ODiwqKiIzs7ObNasmc3YCWVVeQgLC+Phw4dt0oXy6GZ1iZnhre5xM2zYsEFVlxLlvcAF\nBQU2+ZVtMJvNvHHjBknLuA0bNkwur8VMf8OGDWzUqBEzMjJYWFjI/Px8lpSUsKCggEePHmX//v35\n3nvvMTAwkE5OTnIGXlxcTMCy9H7mmWcIlMk/lVS9evU/9eGmpaVVOfO4X8ke7jmmKRAQEMCQkBCS\nZTaDAQEBbN++vcwDQGrSATA2NlYORnZ2trTV69GjBxMTE2k2m+V1kTc3N5crV67k0qVL2bJlS1l3\nbGysrPfatWsEyuRXWVlZ/Pnnn7lhwwauX79eNfgAeP78eck0AfD999+XxwDo7u4uywDg6dOn2bdv\nXwKQ2nPSIgoQs5kbN26wdu3abNasGVu3bk1XV1dpE6isUyhivLy8VP2dN2+e6kXJyckhAB47dkzW\nL5hFt27dmJmZyfXr1/P777+n2WzmBx98wJ07d0pmbTabZZ/NZjMXLFjAUaNGqdKtcenSJZ49e5Y5\nOTmq8VL+KutUYvXq1aprly5dkrazAQEBJC22md26dWNubi5dXV05ZswYvvXWW5wxYwbNZjMDAgL4\nxRdf8PTp0xw2bBidnJzYvHlzAhZ5pdlsloqtHj16yPESz8Db29vuhydWNxrde2QP9yzTFABsDdcF\ntm/fbpP2xRdfkLSYBJ0+fVqmR0REyN+IiAiePHmSer2eERERUguuHERAbZYCgHPmzJHHcXFxqg/q\n+vXrzMjI4FdffaV6II0bN2ZERAQB8PLlyzJd1C/EDCQ5ceJExsTEyBknAH7zzTcELKZR/v7+7NSp\nk7wm6hN9Gz16NCMjI2k0GhkUFMQOHTrItgglxocffihnUDExMdyyZQvDwsLkpoHt27fT29tbyopf\neOEFLliwgBEREXRxcSFpsUldtmwZPTw8pPlRREQEjUYj4+Pj+eCDD9qMpbAKUI5Neno6AXDv3r0y\nXWngLbTloq0A5PJbMPv+/fvLa8p8b731lkz77bffCFiCk4n2DBs2TD5/67Kenp6MiIiQ5xEREfT2\n9mZgYCBfffXVKv/QNdKY5j2Lc+fOkSRNJhNJcty4cTSZTIyLi+P8+fPZu3dvmkwmKS+7cOECTSYT\nv/rqK/bp04fPP/88V61aRQB87733+NFHH3HOnDmyfuXDTUhIoI+Pj3zQIr1Xr15s06YNu3fvzoyM\nDALgwoUL2aJFC3bo0EGKC8gyrfCGDRv4+uuvy/s+99xzzMzMlIqz+vXrc/DgwXJmtWXLFvbq1Ysu\nLi4cP368yuTI+ldsOFACAC9evEgAHD9+vGpXUFhYmNSUA+Dbb79NANIZBqD+8yosLOSFCxcIgCaT\nSf5xdO7cWc6yAfCll16SJlUNGjTgRx99xKFDh0pRz7/+9S/V+BqNRkZFRckxVV578cUXpenXs7Hn\nLgAAFzRJREFUn6Fnn322ypmERv9wpik+cpPJxHfffVemHzlypNwOWxu23y7ErOR2cfHiRZLk/v37\nWbNmTZK02UKohHIWag0hsyMtDGjUqFFMTU0lafG0Q1qcTZCWbaAiTfy2bt2aubm50jRIMJecnBy+\n/PLL3L17tywv7nH27Fk2atRILvsFExPMTyz3CwsLpScq8SJmZGSwe/fuqvrq16/Pl19+WfWyCg1z\naGio3NkkGJZg6pmZmXz++edZu3Ztdu3alVlZWXLn1MSJE+nv7y/rHD16tBSXiDa7ubnJjQiXLl2S\n8sePP/6YgMXAvn///qxZsyYB0MnJib6+vnJGKfqrpIceeqjKP3aNNKYp8cknn8jOeHh4sGHDhnR3\nd1flKSoqol6vl0bhpIVpiCXmpUuXSFLG21ZCqWRRlren0a0slMyNtGhu7aF///42afa2AE6YMEF1\nbjAYaDAY5F5qgYULF1aqnaWlpRXOK8x5rLFu3To+88wzdq+V9zIKiF1ZAgaDQcZC79mzJ2fPni3H\nw2AwcODAgTQYDExKSmLr1q2ZlpbGOnXqcObMmUxPT5fbQxcvXky9Xs9ff/1VzrAFc/f09OSRI0f4\nxRdf3PQjsmaISUlJVf5ha6QxzZvCw8ODJPnkk08yKytLZeQsIGaagMWMQ8xOevbsSQBMTEwkWTbz\n2bNnD1etWsV69erJ8omJiVILm5aWxtdff50TJkyQZcvDCy+8IGeRpNoRSOfOneX2SXF/IaNbt25d\npcZBaaZ0t+Ott96qdJlbjTNJfv311xWqy/r96Nmzp5xdivsIw/jHH3+ciYmJ8hoAjhs3Tp4LH5iJ\niYns3LmzNGL39fXloEGDyv34nJ2dq5wBaHSfMs2mTZtKRlOzZk1pR/fVV1/x5MmTJC0fydatWwlY\nZhclJSVs1KgRY2NjuXbtWpJkdna23AInygCWPd1iBwhpWUY//vjjXLp0qVwuPv300zK/8EwkHHI0\nb96cFy9eZHh4OH18fLhjxw6SFptMUafwfCPSIiMjuX79epUnHXtKrK1bt7Jjx450cnJiRkbGXzTC\ndx5CDEBSpRn/M4iOjpbjmZqaauPJibRsCCjvA3B1dWV8fLz0nKR8D5TlxPUZM2Zw9+7dqvoeeeSR\nKv+oNdKY5i0hPNKIX9JimD558mSVtxoAPHfunMob9ujRo+np6SmXVGK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"text": "" } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": "###Adaptive Thresholding with mean weighted average. \nAdaptive Thresholding with mean weighted average is done using the function `cv2.adaptiveThreshold`. \nThe signature of the function is -\n\n```python\ncv2.adaptiveThreshold(src, maxValue, adaptiveMethod, thresholdType, blockSize, C[, dst]) -> dst\n```\nHere, \n\n1. `src` is the input image.\n2. ``maxval` is the maximum value that can be assigned to the output.\n3. `adaptiveMethod` is set to cv2.ADAPTIVE_THRESH_MEAN_C for mean weighted average and to cv2.ADAPTIVE_THRESH_GAUSSIAN_C for gaussian weighted average.\n4. `thresholdType` - the type of thresholding\n5. `blockSize` - value of b\n6. `C` - the constant that is subtracted from the threshold value calculated for each pixel\n5. `dst` is the destination image\n\nFor the example, the value of `b` is 5 and the constant value is set to 10." }, { "cell_type": "code", "collapsed": false, "input": "im_at_mean = cv2.adaptiveThreshold(im_gray, 255, cv2.ADAPTIVE_THRESH_MEAN_C, cv2.THRESH_BINARY, 5, 10)\naxis(\"off\")\ntitle(\"Adaptive Thresholding with mean weighted average\")\nimshow(im_at_mean, cmap = 'gray')\nshow()", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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gL2NlZYUGDRpg+fLlbH/v3r0L7EtV1TVSrDHuFK/hkclkxhahSPH29hZsL1q0\niBITE6ly5crk7OxMCQkJgnSxjyAnTpyg33//nSZOnEjZ2dmCj1dEysttEhISKCYmRrC+ko/iioDM\nzEx69+4d7dy5k5WJiYlh6Y6OjiqPj6s7Ozubnj9/zvZzS70UqVChAhGR0hI+zsrMEFy7dk2wzS0k\nB0B9+vQRLcPvw+nTp1NWVhaVKVOGpYl9ZeeWXBEJP5Lx69LGuMbX15csLS01ysURExOjtFaZSL7q\ngOj90jdt6iooVlZWBq+zKCh1irUUPivUoqhYk5OTiUhuTsrx22+/UUZGBr1+/Vrl12UvLy/B+lK+\nQhbrUwcHByKSW3jZ2trSuXPnqEaNGtSxY0eVS60AUEhICOXl5QnqVKVYuQXzYjKIKVYPDw+moBTz\nc4p1+/btom3pAl+xcsqGiGjq1KlMgZmYmLA+CgoKEsjDX4jP/R46dCg5OzsL2uErVi6Ne3Dcu3eP\nxowZo/F6f/36NU2ZMoU8PT0pNzeXnJ2d6bvvvmPpqsoDIB8fH0pLS6OXL18SEbGHhphi5dfzyy+/\n0LJlywTp+q5VL6n3c6mbCvj222+NLYJRsbW1RVhYGGrXrg2ZTIb//vsPf/75JywtLVGhQgWV5e7e\nvYsTJ04AkLtebN++PR4+fCia9+uvv8abN2+wf/9+TJ06FcnJyWjfvj2ePHmicj536NChuHDhAr78\n8kvk5OSw13Sx12VA/hW/UqVK+PPPP5lM6oiKikJQUBAcHBxQp04dbN++XTSfl5eX2np05ebNmwDk\n4UuysrKQnp6OtWvXomLFiiw4pmI4k9evX7PfVatWBQBs2rQJsbGxKFeunGg7sbGx2L59O9q3b8++\nyPNfuTm4qRaO+Ph41KtXDwEBAejTpw9iY2O1Pra5c+fCysoKc+bMAQDs3r0bAJijdI779+9jxowZ\nSE9Px88//4ylS5dq3UZppdQp1h07dhhbBKNy5MgRxMfHIzAwUKevvdevX0enTp2wadMmAPKv3qrm\nxo4ePYpZs2ahZ8+ebM7S29sbubm5ovmjo6PRu3dvtG3bFnFxcTA3N8c333wDAGjTpo1oGRMTE5w5\ncwY//fQTIiIiNMrfoEEDbNy4EUSEK1euaMxvKKKjo7F48WK4u7vjm2++wfbt2zFy5EgAYHOu9+/f\nF5TJzs7G5cuX4ePjw/qbC5uTlpYm2s7evXvh4uKCRo0asYfGrl278O2332LVqlWCvHyPV40bN0a1\natWwf/8JVmNaAAAgAElEQVR+tGrVSqtjKlOmDDZv3oxZs2YBkM9xqyMxMREWFhYoU6aMqLIvCH37\n9jVofUWGcQfMhic1NdXYIhQpilMBfLjXxho1atDr16+pR48ebCpg9+7dLJ/iZcDf5rwwqZsHVfRO\npsnq6sKFC4IyYnUHBwez34sWLWK/OSMCVXOsHC9evBBsc1MBcXFxastpAzcVwLdlDw8Pp4cPHzKD\nhTNnztDNmzdZf3N9+uLFC7p//z4RvZ+b5QwpFK9d/lSAIiEhIaL77927p5ONvT4qQJ8y+k4FbNmy\nRa9yunDixAmD1ymtYy3FcK+cXJjq/fv3s999+vRh+Yg3si1XrhyIiL2SbtmyBZaWlkhPT1f5mqpI\nbm6uVl+SOTIyMjTWPWPGDMF2Xl6eTsER8/PzkZGRYTC/rtr2BR8rKyvk5eUhOzvbIDIokpaWhj//\n/BOZmZlYvXq1VmVsbW2Rnp6uc1v6lCmu8FfNGAyDq+oSSHJyMn3xxReCfdzooWfPnmxf37596dat\nW0QkH/lMnjyZpXXp0qUIJFVG3YhVDH1MI7W15+fQ1k8AEdG7d+/UjoZVoWnEqkhhrgrQBsVb7eHD\nh3Tz5k22zV8lwaFuxKoKRd+4RETx8fFEJB9hK7ru41Ym8OGucSJxnwAAqGPHjipl8PX1VdpXnEes\nhcEHP2I9cOAAnj9/ruRRv1y5csjOzsasWbMgk8kQHByMXbt2IT8/HwAwfvx4Nk8IAMePHy9SuTnW\nrFmj9ehEX+rVq1dodRsqLE9J486dO3j58iVsbW1x8uRJ1K1bt1AW+MfHx6NKlSo4ffo0njx5ohRD\nSsygo3Hjxuy3quCe/I+Ux44dw/79+2FhYYHly5fjjz/+UMp/584dfQ+hRFKqPl7pE47FxcWFLYj2\n9vbGkydPsHfvXjg7O+Pnn3+Gg4MDRo4ciZ07d8Lb25vZbickJGDgwIGYNm0a/v77b3Tt2tWgx1JS\n0dWy6EPl22+/xbBhw1C9enV89NFHaN++vdr8EREROHjwILy9veHt7Q0A2Lhxo8Z2rl27Bm9vb3To\n0EFrqzO+fwJtplu++uorrF+/HitWrIBMJkNISIhSHr7RwodAqVKs+vDJJ59gz549OHPmDNauXYuV\nK1eid+/eiIuLw9q1a/HmzRv2tZu7oAH5l1Iiwq5duzBhwgTUqlWLxS8yJv7+/ujWrRuA9xY0//zz\nDwAgMjJStAz/wZKRkcH2L168WDT/119/zeJTcXBfs1VZRk2YMAGBgYGsDPeGkJKSIpqfc1jCnYPM\nzEyNTlQiIiJgb2+Pu3fvApD3xZAhQ9SWMRSpqalwcnJC3759kZ2dLbpCQlF+ToFxy7HUrX5o2rQp\nvvvuO6xZswYbNmwAAPTs2VPjiokGDRrA0tISzZo1w4oVK9h+dRZ4eXl56N+/P1atWiW4Bh49eqSy\nDBGhTZs2iIqKwueff65Wpg8CY89FGBLFGEDaAoDy8/NFvenfunWLhg0bRj/++CNdu3ZNkJaRkUEZ\nGRkUHx9vtDlWxVO4ZMkSIiIyNzcnIqK8vDyVVjscERERNHz4cJam6AqPc3TNh1txkJGRQfPnzxek\nqTMQICKB1RaRfFWA2Nxvs2bNCABlZ2drZSCQlZVFiYmJ7Fzy5xOLYo514cKF9O+//xLR+0gLHIry\nX7p0if3++eefaejQoUpWg2JzrB07dqSkpCS6d+8eWVhY0OLFiwXpinOseXl5lJOTQxYWFpSfn08W\nFhYsikNeXp4gsgAf8JyM37lzRyC/2LxsVlYWC53DOcgOCQkRWKV9SJSKESsXjbIgWFhYwNzcHAkJ\nCXBzc4NMJkNmZibGjBmDunXrIioqCtbW1szxRkBAAC5cuAALCwtUrlzZaHOsiri4uCAqKgqRkZGw\ns7ODiYkJLCwscPToUfz333+iZZo0aYL169fj0KFDAICyZcvi559/xsqVK0Xz37p1C3fv3sXZs2dh\nYWGBSZMm4fz582z+mVvUz2f06NEgIshkMri4uCA4OBgAMGnSJABQcqmXm5uLGzduYNGiRTA1NWWu\nIDmfAYpER0fD3Nwct27dgkwmw8uXL7F//34NvVVwrl69ivz8fCQlJWH58uU4cOAAMjMzQUQ4duyY\naJnY2FhYWFggPz8fMpkMy5Ytw+DBg1n/jR07Vmne/OLFi5g2bRpOnToFFxcXJCcnIyMjg72NqOLd\nu3cwNTVFRkYGTExM8PjxY7YqQZVvCCJCWFgYRo0ahePHj2P+/PmwtLRk6d99951Smc6dO+Ozzz6D\nu7s7HB0d4eLigoYNG8LDw0OtfNoQFxdX4DqKHCMrdoOi7+Hwy/E9zHOjPz6TJ09mT2Qiud38jBkz\n9GrXEACgv//+W7Bv4sSJRERkaWlJe/bsoU6dOhER0fLly9WaMIr9JlIesW7YsIEmTpzI2uHym5ub\n019//SXaBpeXIyoqii5evEhTpkwhS0tLJQfUubm5SvVYWFiwr+farArgopkSFe6IlX9sBw8eJCL5\nqpJNmzax/YrHwl1DLVu2ZCFXhg0bJsjDjVj5kVz59OvXT2mf2KqAo0ePst8rV66kBw8e0OnTp+n+\n/fuiI9b8/HwWDiYsLIwWLFhAAOjp06dERNSrVy9ReTgWLFhAp06dEqy1LYiq4QeULCmUSMXKvW4p\nYojnBPeKxsVWOnnypMYy2dnZBguJoSuqjvn48eM0ePBgatu2LXl6etK1a9fo1atXovn5++zt7cnT\n01Ow/IxTrJxC+eOPP9gSKQDk6elJ586dIyJ5f4m1ERERQRcuXGBl2rRpQ0TypUAAlBbHc6+r165d\no+HDh1PHjh1p//791L59eyISV6zx8fH07t07evjwIbVq1Yp5/Dc1NS1UxRoQEEBERLNnz2bXD3iv\n0tw2H29vb2akER4eTh4eHhQQEEAHDhxg15665VYpKSkUEBDA2uYQU6ycAQKRcJrn/PnzZGdnp1Jx\nq0KTYhWDH2dLV0qiYi0VEQT27t0LT09P7N69G3379kWHDh00muGVFhYsWMBep7VBJpPp7Nj48ePH\nqFWrltb5HRwc8ObNG9G0mJgYVKtWTbCvTJkyyMvLw+jRo1VOPyiye/du/PXXX7h8+bJW+StXrmyw\nj4vh4eG4c+cOTE1NMWHCBK3KPH/+XOflVM+fP0eZMmVUGjU8f/5csG1mZgZTU1OVZrFi2NjY4MiR\nI3Bzc2PuJqtVq4aYmBhMmTJFdOnUyJEjsXbtWh2ORG5oMmXKFHh4eOi8QmDFihUYM2aMTmWMjpEV\nu0E5c+YMpaWlGVuMImX16tU65Rf78KAJsY9X6uCboGoD5wVKF3bt2qVktqqO8PBwFg21oBw/flzn\nMtytlp6eLpoudt3u2bOHeb/ie8QiIiWDFg7FESvnFSs2NlbJexYRqfx4pYrk5GSlEauiJysxVqxY\noVM7fEriiLVUfLziY2VlpXXeixcvIiAgAPPmzStQm2/fvsWsWbOUzC6LI3l5eQat78KFC0r7fv/9\nd+aIRBtUjW4BuXMYRScjHJUqVVJb7+HDhwG8N98dOHCg1jKpQ92a5dDQULXxoPgfgQCwEa+q0DTO\nzs4A5G8aAQEBbH/Tpk1x9uxZtUugAPlob9u2bVi6dCm++uorlR8w+RDvjebZs2eCNFtbW6X8Xbp0\n0Tm0jjbo4omruFHqFKsuODk5oXfv3ti2bZte5bkbt3z58hg0aFCxih20aNEiAMCePXsKrY2kpCR8\n8cUXomlir4rz589nvzmXeppo3ry5zoH7uGPnXEgWZh/wOXfuHGxtbdGpUye1r+PcdQO8V6zVq1dn\nEQDEqFKlCoscAMgVppubG2rXrq1Wpp49e2LQoEFYsGABateuzdY4q2PKlCnst6ZVB4D8Nf/QoUPw\n8fGBj4+PxvzawrlU5FarlCiMPWQ2BgMHDiSi969nil721REUFMR+z5kzR5BmjO4Umwrg5BCTp2bN\nmkr7mjRpojI/kfJUAP7/wwwAJc9Wqurh9nFrHbXNz0UQCA0NFaQrfryaMWOG0gcj/scfQ54bfl1D\nhw6lzMxMCgoKot9//51mzpxJO3bsUFtGcR/3f+jQoYJ0vvwXL16kx48f05kzZ8ja2ppCQkLozp07\nSnWKfbwaOXKkShlUTQV88sknREQ0adIkpTTFqQD+9aGqnwsyFaDPueM+phqLD1KxcnTu3Flwcdet\nW1eQDoAiIyMFy2BycnIoLy+PsrKyWFnFRdCq5tEKA0XFmpWVRV5eXipDWogpVn4f8L8acwvsxeZY\nq1WrRunp6ZSZmamyPj45OTlkbm7O+io3N5eIiAIDA0Xzc3OOimncF3MioujoaK3aJhJX6Pqiqo0/\n/viD/P39qX79+mrL/Prrr0T0fr57xIgROrXD379q1SpBmqJi7dq1q6BMfHw8WVlZ0YIFC4hIXLFy\nER5WrlxJREQtWrQQXE9iqwJyc3PJ1tZWICNfzqJWrMam5EmsArEnqzo4v55E70/czZs32ZpPInm8\nHb7S4Y+SOMsjV1dXtSPEwkZsxOrl5UUff/wx2wZAT548ISJxxRoREUEzZ84U5Fe3POnJkydqQ7eI\n9cOECRPo+PHj9PjxY63yExHVq1eP/Pz8iOj9kqGrV68SkfgHpBo1ahCR/OHC0bZtW7Vt6INiXZwP\nVkdHR6aogoKCBOtotVGSH330kSBNbLlVzZo1KTIyku7du0cABB7WiMRHrPzrMy4ujnnVUuXpzMTE\nhG7fvs2u8YYNG2qMPdWxY0emTH/44QcCIPDeJTaK1xZJsRoRfRXr7NmziYho8eLF5OrqqnQxN27c\nmN3U/Au0Q4cO7ELiXKtNmzatQMegD6tXr6bXr1+z7Vu3bjHTXmtra3JxcaGZM2dSYGAgEYkrViK5\nEiOSj0RXr15NL168EDgA5getA0DDhw9nZrC//fYbEclHLfv27SMASu7eOEVvY2NDw4cPp86dOzN5\nNSmdzZs3s3WQR44cIaL3SoF7O2jevDmT59WrVzR8+HCB+7vCVKybNm0SrNMcPnw4VapUiZo2bSoo\ns3z5cgoJCaHLly/Tw4cPiei9k++2bdvSunXraNOmTbRu3ToiIvrxxx/ZMa5bt47279/P6rt37x59\n/vnnTBZu1CumWMXgprFUueWbOnUq+fv7szcExaCFYu4EOTgn5TVr1qT169cL4oLpw5gxYwpU3hh8\nsIqVSD4VwI8wqqhYuRO6YcMGIpLfHHl5ecw2PiQkhADQ4MGD9VqCYwhWr15NI0eOZDfjyZMnleYj\n+YqgZs2adOrUKZXpa9asIQBscb02cIqVmxYAoDTHdeLECaZMxo8fz15Rnz17Jqr0Ro4cSQEBAeTr\n60tbt25lI1d+BAD+A0WxbGhoKC1ZsoRZQhWmYiUiOnz4MIWEhLARNdF7y6/bt28TADbXefr0aXrx\n4gWrhx8tgY+iz1PFaLh8WTj/DOoUa2pqKi1cuJDVw7fIUmTfvn2CdrkyV65cISJx/7GKsnJBCDk2\nb96stowqSqJiLRUGAgAwefJkwVdnbYiIiEBoaCg6duyImjVrQiaToWPHjszXZEREBOrVqwcLCwv0\n7dsXW7ZsgZmZGYYNG4YtW7YAkAfhy83NRePGjbF27VqdlhkZgjVr1gi8bmmiVq1aePz4cSFKBFSo\nUAGJiYla59fWaKFVq1YIDQ3VSyZ9DCPEaNmyJcLDw1ldvXv3xvPnz9G4cWNcvXpVkHfp0qW4d+8e\nVq1ahYiICDRt2lSntpKSkmBvb682T2xsLMqXL48HDx7AyspKZ8/+1tbW8Pf3R48ePXDjxg00a9YM\nJiYmCA8Px9y5c+Hr64tevXph3759gnIvX77UuNxNkRs3bmDw4ME6lQGAn3/+2eCxtAodo6p1A8KN\nmgxNixYtCqVeQ5Gbm0t5eXla51c1FaCK7OxsXUVS+rqtCQCiH8E0oUsZQ17qutTFfezU5xi1KTN+\n/HjBtqoPYYZG04hVjA9pxFpq1rGq8h1aUPgRL4sjx44dg4mJbqdRF5PCH374QVeRsGnTJp1H7g0b\nNtQ6765duwDIDTOKO2XLlmUeubSJNsvHz89P4PVLcbE+oHzdr1u3DsOGDdNDUglDUmoUq65wToc5\nW3PFBd0xMTGYNGkSNm3ahFu3bonWcefOHRawb+HChThx4kQhSqzMzZs32SJ4PocPH0ZSUpLAaTWf\nNWvWKO3jW/Vo85Dy8/Njv8+dO6eUzo89//z5c6bM165di0mTJmHv3r2C/JwF0fnz57F9+3bk5eXh\n77//RkREBAICAnDz5k2Wl7Np5xbUR0VFKbV/48YNpX1ix11QNm3ahJycHKxZs4a5Qly4cCFWrlyJ\nOXPmAHgf3oQffprzicCFyBa7xhQt+R48eMBCaS9atAh37twR9YkhFllg27ZtmDt3LpPJkBjaZebD\nhw8NWp9RMPaQ2VAoOltWx/Hjxyk1NVUvj1Tc+ssbN24I9htjRQD3wYrP4cOH2XF5enoqpYtNBXCv\nk2L5xVzTeXp6sr8LFy7QlClTBOlir6Nc3Z6enrRx40a6ePEiSxO7DLn83MoEzoiB6L1rPj47d+4U\nlV9dG/qiWNeBAwcEbXt6etKwYcMEH9r4ZbiPoZ6envTo0SNWVtFtIL8MVxcA6t69O9WtW5eWLl2q\n9JFR7DgHDhxIly9fJktLS62PsXz58irrIxJOBXDe5rZt20ZLly6lH374QbSMvlMBJZEPUrFyrurO\nnj1LCxcuJCIiFxcXQR7ughK7sPD/y6yWLVsmWAtY1MpVTLESyeWrXbu2aJo6y6sFCxbQixcv6Pnz\n5yxNTLFyNxUX/VPxa7WYYuX65tKlS4JlUJy8ipiamqpME3PykpycTBkZGYL8/P4pLMXKdwQDQKXy\n4pd5+/Ytde/enRkIqJJN1X4TExO1svGXQnGWcRUqVKArV66wgYEmuBUD2ihWbWQmkitWd3d30TRV\ncnHGFCWNUqVYdfk4YG9vT0TydZWKyoNbs5eWlkaNGzcmIrl3oJs3b1JOTg5lZWVRuXLl2H6O4qJY\ne/TowS5wf39/cnZ2pkGDBhGRXLFy6yM5ALC6Xr16RVWqVKGsrCyaOXOmoG84Z9SJiYnMEfKqVauU\nbqYRI0bQhAkTBPtSUlIEDyu+Ryt1N+PIkSPJysqKKlasSDVr1qSEhASmWJ89e6Z0HERETk5O5Ozs\nLKi3sBQrPxzQ1KlT2UMGAPMmlZmZqbL97OxstsjfycmJiOQPn+TkZFbm1atXrO/d3NxYWUtLS5o6\ndapK2YjkprCc71Z+mth1z8F9DAXPKCY/P5/69OnD8ogpVq7+t2/fUmpqKjVv3lytbLrALfMqKZQq\nxaoLnGLlRp/cbz7c9qlTpwTKiNv/7NkzGjVqFBHp50quoIgp1gcPHtCnn35KP/30Ex05coQAsDWJ\nr169Uml5xVktAaCyZcsSEdHGjRtFbz6uzkqVKtEXX3xBQ4YMEaSLjVgV+xgAi7ygylcDl3fdunV0\n+vRptl9sxNq3b1+aNm0a7du3j1JTU2n79u1EJF/r2rt370JTrNya4NmzZ9PmzZtp0aJFFB0dTQDo\nk08+YXJoGpUOHTqUevbsKZjm4Jc5ePAgTZ06lV2vo0ePpmrVqim9mYi107NnTyIiGjBgABHJpy6I\niDkeV0TRRFtsrTH/2vP396cLFy5Qz5492R+R8CGgSjZtkRSrkdBVsQKgwMBAOnv2LAUEBLDpASJi\nN7ypqSmzGvnnn3/oxYsXlJeXR/PmzaN58+ZRZGQkM0M0xnQ1d3Fr8kvKN1f9559/2I3FwZ/bu379\nOjMJDQ0NVTmq4ejXr5/A8opIrlgV56D5pKamMu/5RKoVa7NmzYhIPp/NfyXkFKs665+mTZvS4cOH\niUge5K8w51hV0bt3b0GZRYsWUWRkJJ08eZKePn1KPj4+LHwLt0SNbzqqqZ2BAwdSy5Ytiej99Q9A\n1BR227ZtzPa/YcOGdPbsWbp//75SvsmTJ7PlYYGBgfT1119TQkICWVtb09q1a5kTInWyHT58mFq2\nbEmxsbECk9sPSbGWGgMBXQkKClIKdMYtIt+5cye8vLyQm5vLQhSvXr0aAwYMgJWVFVJTU2FnZwcA\nqFu3LvtSW9SsX78ew4cPV5snKCgINWrUQM2aNdm+V69ewcnJiW2HhYXh008/ZfkBsL7x8vLCjh07\ncOHCBVEXgYr5AfUe5kNCQpCRkSHI//r1azg6OirVy+UZMWIE/vrrL1hbWwOQBytU57n/0aNHyMrK\nQsOGDREeHo4WLVqwcxsfH6/SI7+2aGNsEBQUBEdHR3z88cdKZR48eICPPvpI6RpU3A4ICBC4CjSU\nbBcvXkTbtm1x7do1tGzZEgDw5Zdf6tSO2P2jTRl91U1oaKhgVUVx54NUrJmZmahSpQpzUM2P8pqX\nl4f8/HyYmpqqLW9hYcG2MzIyYGlpifnz52Py5MmFKjuf9evXY8SIEUXWXknHEJd6bm6u2mtDFzSF\nUClXrpxOYVa4MllZWcjNzWX7dHH+ri36WLIVxPqtpCnWUjEVoBhQraiJjIw0SrvcVAD/o4I2KH5Y\n4sOPUrtlyxaNUwFijBgxQqdzkpCQQN26ddM6v66hX4iMY3nF+QC4ePEiARB4HDNkO5rKcKs3+N6m\nCooq2bp3706+vr6iadwSLkO2V1z5YA0EDIkuVkOFwe7du3XKz3nYV+TcuXOoV68e29bH6oojMDCQ\n/X7w4IHG/MeOHdO7reKKm5sbAKBNmzYAIDByKEo4QwpuWkJbOIOHpKQkjXnj4uKQk5ODgwcPYsiQ\nIaJ5unfvrlP7JZkPUrH+8ssvzHHJtGnT8PTpU9F82dnZKuvgyu/atQtZWVmicZBUzTP6+/vrKrLW\n/PXXXwgLC8PUqVOZVc+RI0eUHLVwjmb4MZjc3Nywd+9eeHt7q7V+kclkkMlkqF27tsqYS/xjf/Hi\nBXNAIpPJkJKSorJuzgKJmztu3749SxNzNsNZl3l7e8Pb25sdj6ZYUIbCz88PGzduxIQJE7B3716s\nXbsW8+fPx4QJE5QiznKmuFzfyGQywX9tQsjIZDKUK1cO9erV08o0ecKECfD09MTevXthY2MDACpj\niCm24+7ujqFDh4KIkJOTg6NHj4rmPXDgAJydnbFp0yYABXsglxqMPWQ2BPpMBXDLrdRx8+ZN8vT0\nZKsE+HDWJpxfUWN0pao2ATC/pRx836BEQj+cTZo0UVq6xS2h4k8FjB49mv3mlmS9fftWKYKo2HKr\n3377jfU55xiag78q4NWrVxQeHs4MBDw9Pdl61U8//ZSIhFMBXJQDDn6EAT6GPD/q+l1dmiLcQn9+\nWlpaGnOvqEtdTZs2JS8vL9G0uLg46tixI/PJy10Lly9fFq2fiCgsLIxGjRrF6mvatKngvCq2c/Lk\nSaX9TZs2ZUu3iIgGDx6ssj1NlDRVVbKkVYGunc4ZEnAXmpiJpLo68/LylMJIq8rv4+Ojk2y6oKpN\nU1NTAsD8lU6ZMoV69OghyMNXSHyFcP36dQLATE45xco3vujSpQuru1+/fqIGAoqWNPPnz2d9JpPJ\nyMzMjIjkfam43IoL7cwtscH/rwklIjp//rxAsfJvXK5O/P/C9iVLlggWu+uL4rHw6+L3S9myZVka\nP7KEYhn+A4qTmb/cSt3Dmr9v4MCB9Msvv7Byqsrk5ORQQEAAyWQyZhrLN0PmmwtzdXGhh7Zu3Sra\nNgCByW5eXh7Z2tpSRkYGZWRkML+wANg5kBRrCUPXTueHwODKOjg4UKVKlQT7+Rcr3z0bF9sHPBPG\n4jJi5fZ5eXlRdnY2ubm5iY64uTWNRHIDAX557mZXbOOrr76iTZs2MUXMKVXOSIJDccR67tw5ttYV\nANnb2wvWHSckJFCtWrWUZLS2tmZl+M6g+YqVs1ziZOL+goODacmSJUyJFfaIlds3Y8YMZiDQpk0b\ntWX4++/evStYUD9x4kRBmQsXLtD69evJzc2N3NzcaMCAAVSpUiWqWrWqRtkUw/e4ubkJ8nHRIzg4\ns1Muz5MnT5TKKLbDd/Ctqp2CKNZWrVrpXdYYlArFWrduXZVe2NUBgE6dOsVee7mLIDg4mFavXk3j\nxo1jefmjiAULFrC8nOf2Ll26FOgY9EHsJgoLCyMiucXR69evac+ePaL5uFfmxYsXU8WKFdn+sWPH\nKt1AfF8AfGudR48e0aFDh6h9+/aCulX5BOUC2CnKLmYgwOXlLNq4hfS+vr4CxbpixQrm1IXvt2HB\nggWCKAaFpVgXL15MRPKYTvxF7CtWrFCpiLg3JL7N/8cff0wJCQk6GQg0b96cxfRStJbiWL16NR09\nepSmTp1KEydOpNmzZxMAgSWbomKdNGkS4f+t644dOyaIdqCtbAcOHFDKIynWEoY6r0aq4GznOf73\nv//RsWPH2DanbE6ePElffvmlaB1///03paSkCILGFSXchcsPjKgN2jopjoiIoLZt2yqNSDUxYsQI\nunbtmmjay5cvmUUUR0JCAv3333+CfXl5efTbb7/RiRMn2Bw690quabmV2Jy7rg6+xfD19WUxvYiE\nozTFuV1FvxUABHIlJiYyZSgWBZcrw0dxblqbMoWFotMibfiQFGupMBDo3bu3wJ+otnAL/TMzM9nX\nZCJCcnIyLCwsYG5ujufPn7P8I0aMwH///ce2uTQXF5cCHoF+cF+TNWFrawtbW1u2/fz5c5UyK6Y9\nf/4cZcuWZUt2tOHt27fMB6k25Ofn6+SsOyUlhX3h1hY7Ozt88803Oofv4dOjRw8EBATA1NRU53Ou\nqc/1MQZQpEmTJrh58yb69u0rWII3atQo+Pj4qCzn7u7OllZpi75hcvS9Vz777DNcuXJFr7JGwciK\n3SDoM2Ll4L+eqmL8+PGCSfzu3buz39yrmDHgTp+68Cmc4w0+6mzsVbWhC4pTAap8AXA+DBISEujp\n06da1Z2VlaWXgYCip6WCoEufcG4p9elHAAIXjhz169c3iGxERO/evaN69erRzz//rFM5bsSq+Kah\niAkOPcYAACAASURBVOIcMJF86k5X1I1Y9Qnro46lS5cWuI4PVrF+//33hSBJ0VIUz8WiaEOV4lVF\nYSjW48ePU1JSklZ16aski2sZxTlWTVy+fFmvqQAiuSL/ECgVBgL6TAPs3LlTNISFPvj4+OD+/fsC\nnwPFjbt37xpbhGJNly5dmGMdCfXExcXpXZY/taYrVIJmLUu0YnV2dma/FyxYoFWZP/74A4MGDQIg\nnzN7+vQpi1vF8ejRI1y/fh2A3FFGfHw8/vrrL6SkpLA5WP4F0qZNG9StWxezZs0q6CEVGvXr1ze2\nCAYnMzOT/Y6OjjaeIIUIF5OtONGrVy+9y5YrV86AkhRjjD1kLii6hOHl/IzKZDJKSkqib7/9lubP\nn69kpcRZ/Tg6OgrKXbt2ja2T5CyPiORLXYyx3ErRwbQm+MuqtEXXS0QfRx/FYSpAF/S5bYpzGV2n\nAoj0WxVARHTnzh29yhEJjUGKOyV6xAro9npgZmbGysTGxuL27dv4999/8fXXXwvyjRs3DsHBwWwk\ny5Vr0aIFay8nJ4dFC9X267yhKVu2rFHaVUd+fr6xRTAI6vwZFFe8vLwwdepUncrk5eWJ7udH+G3S\npEmB5PoQKfGKVRf4oYIbNmyI7OxsuLq6YsWKFcyv6bVr19i0QlpaGkaMGMEcgSQmJgp8SlarVg0y\nmQxv3741eAhgCeOi63Ku4sCOHTsE02PawDlyV4TvnEedVy5FRzMScj4oxdqhQwf2WyaTsTWa7dq1\nw/r16wEADg4OAOQe8a2srPDrr7/i/PnzAIAKFSpgzZo1kMlkuHTpEmQyGb7//ntWxs/Pr4iPSHue\nPXumVzl9HWnr87Fs3bp1erUloZ6IiAgAQsfaYWFhonkPHDig1VsgN/gYPXq0ASTUDl3WOmtLZGSk\nwesESkEEgZiYGFSrVk2nMvxwKuvWrcPt27exdOlSll6pUiU8evQI1tbW6N27N0JDQ/Hs2TMWpiQi\nIgKRkZHo378/ZDIZbt26hcaNGxv0uNTBLc6uUKECZDKZxkXXL168QOXKlREZGYlGjRrp1FZSUhLs\n7e21zs9FUyhMEhISULFiRZ3KmJiYwNfXV+dQJ3wGDx6MzZs3w8TEhLlB1JaIiIgiKZOYmIgKFSoI\n9sXHx+PVq1c61VNY3LlzBw0aNNCrbEEiEBQ1JV6xFlZnBwcHw93dHYB8PpUfjkPMUujkyZO4evWq\nWguXwiAvL0/l65wYWVlZKFu2rE5lNJGbm6s036vYZ+rKceevsOeqN2zYgDJlyqh0xKwNYseqLVlZ\nWTA3N2fbiiF+iEi0D1TtVyQ7OxtbtmzBiBEjlNpSRWZmJszNzQ3S9/y6FI/NEJQkxfpBTQXExsZq\nzDNjxgwA8lciABg6dChMTU2xZMkSlkfslaRTp07w8vIykKTvycnJUdrHd8BdpkwZrTz0c5ibm+us\nVDWtW1RUNO7u7lrFheLKcY6z+RTGDZSUlFQgpQrI17vqwsaNG/H7778jJSVFSdEpKh4x5fby5Uut\nld7PP/+MESNGYNiwYVopVU4GVfWLXVeqnLcr1qVOqar6YFZc0HfajM8HNWI9dOiQIDxEly5dBCFE\nJEo+fn5+7OEoUbqQRqxFiKOjI0JCQrTK2717d8TExEAmk8HLy0s0nDMfTU9W7gMAtxxLwvhISrX0\nYqxljfpQ4hWrpaUlPv/8c63zV6tWDffv38fu3bsxbdo0pZMVEBCAhQsXAlB+xe3WrZvgtbV27drI\nzc0VfV3/kCmol6aSTnx8vMq09PT0IpSk5FCQ6YELFy6oTMvKytK73oJQ4qcCXF1dtZ4TSU5OxujR\no+Hv7493797Bzs4O7969g42NDV6+fIm8vDw4OztDJpPh9evXsLKygqWlJZKSkiCTyWBnZ4eYmBiM\nGTMGTZs2xbhx41C+fHlERUXp/aVTQhxzc3Oj3RQSxRMTE5MCGaDs2bMHffr0MaBEqilWI9b9+/cX\nav18nwCHDh1C27ZtYWNjg5CQEFSuXJktrp44cSLc3d1haWmJpUuX4rfffmMOOsaNG4eDBw9i1qxZ\nbP0qF/46KiqqUOUvaaiy39fmA9J3332H8ePH6+UDYNSoUSrTOB8Q2sD/SMhFj9UXzj+FhGYSEhIK\npd6iUqoASr6vgGrVqumU/9ChQ5SQkEDz5s0jIrnn9x9++IHKlStHK1eupLt379KxY8coKCiIlRk2\nbBgREbVo0YLmzZtH8+bNo44dOzJfp+XLl6d79+4Z5oB4bN682eB1Fib8AHWlievXrxtbBAmS+/jQ\nRHJychFIopkSr1gvXbqkcxnOgYSHhwcRyZ2AAKDvv/+ezp49q+TIglOsiig6kebHXJKQkDAs2ijW\n4kKJn2OVkJOeng4rKytjiyFA15ArEhLqKOgca1EiXfWlhOKmVAHD2XZrY9ghUfopKUoV+MAUa2Rk\npMagadeuXSsaYSS0pmrVqsYWQYAhLHMkSjclVrGuWrVK5zKNGjVi9v+qaNmypc71btmyRecyqhg3\nbpzB6vpQWLFiRZG25+rqWqTtSZQ8Prg5Vl9fXwwdOhQfffSRQeoKCAhgnrIkSjYFcbAiIcGnxI5Y\n9WXevHlsxJGfn4/c3FwA7x37cvF8PDw8lMpmZmYiMzMTrVu3BgDMnTsX9+/fZ+tZi3PMKz6qrFxy\ncnLQvHlzgQOPnJwcZGVlITMzE19//TXmzJmjVC43N5et+eTHoeLo2LEj+92gQQOBvTd/3iwnJwe5\nubkCv7k5OTmidRYGxlCq3HXn7e2NqKgoZGZmauXoRcyr/6effqq07+zZs+wa10YOjvDwcPa7efPm\nGstLKGDUNQkFpEqVKjqX8ff3JyIia2trKl++vFJ6w4YNiUh17KDTp08r7Stfvjy9efNGZ1mKG3Fx\ncdSsWTPq0KGDyjzR0dF0+fJlcnR0ZPG/+HDbXJqpqSmdO3eObQOgV69e0eXLlwXl+enXr18XpA0f\nPpxSU1MNdpxDhw4V3Z+dnW2wNtTBP1YioiVLlgjSFNfNcjHX1q9fr1TX0qVLydbWlm2PGzeOjh07\nptRG+/btBdtTpkyhJk2aEACqV68evXjxgurUqSPIM27cOAJAkZGRlJ6eTi1atDBgL2gmNDS0SNsz\nJB+sYvXz86Pdu3cTkfxijo+PJyJ5MLwFCxYwAwEAtHv3btq7dy8REU2ePJnt5y5AMQVd3PHw8FBS\njAEBAdSsWTO2v127dlS/fn22XatWLTpx4gTLv2DBAiXF2rRpU0G6ubk52/b392eKlV+uXLlyNH/+\nfCUZAdCNGzdoz549Su0cPHhQ/4MvZFavXq02nZPdxMSEli5dSkREGzduJCKiiRMnkre3N7m5udG2\nbdsED57Zs2ezOgCw/o+NjRXsJyJavHgxERG5urrS0aNHaevWrSz9u+++oylTplDfvn0F5RQVZ/Pm\nzQX9XsLHYUVKie4pfRQrABozZgz7PXv2bPL09FTKQ0RkZWUlSANAnp6e1KZNG6pTp45SuZIEd4wW\nFhZsGwA1a9aM9u3bJ8gjNrIkIlq5ciW1atWKDh06xOrlFGvHjh1Zf3GROceNG0ePHz+mV69esYi3\n3OiK6H3E3eDgYEH7ir9LAwBoz549RETk6elJZ86cISKi7777TpDO7/ft27eTp6cnpaamUt26dWng\nwIH01VdfkYeHB3vwc/lv375NAOinn34iIvlDk0u/dOkSTZkyhTp16sRGrK6urrRs2TJROSMjI9lv\nbmAhoZ4SfbXqo1h79uwpup8bsRIR+fr6st+3bt0iIqJt27YplYFCGOyShKJi5WjWrBnJZDIKDQ0V\nVaYcTZo0YWl//vkn288p1n///VfQDgBKT08nIqJXr16xdgcNGkQODg6sH/38/FhdXBjy33//vdQp\nViKiMmXKUMuWLSkmJoY9VLjjtLGxoT179pCrqysREXXq1ImSk5NZXi7fL7/8QgCUynNUrFiRJk2a\nROnp6YJ8U6ZMYeHduXKKZX19fSXFqicl+mrVVbFOmzZNaZ+zszMFBgay7REjRhARkbu7O9WuXZs8\nPDxox44douVKMpz8NWvWJCKitLQ0GjlyJNvPPz5XV1dq3LixoHzjxo3J2dmZfvrpJ9FXUWdnZ1ZH\nSEgI23Z2dqbXr1+ztGPHjlFiYqIgnYioevXq7LeXl1eB4tEXNxTnPzlevnxJMpmMAJC1tTXbz+9f\nIrk9PAB68+YNU6z8usXa4G8DoClTpii1X65cOSW5FBWrhHaU6J7SZ8QqhtgkOTdSFSMxMZGI5A5c\niIiOHDliEDmKGu6VPzo6mtatW0dEyv4O+vXrR507d1Yqa2ZmJqjj3LlzRPT+jWDlypV0+vRplq4I\n/w2BgxtNERH16dOH/RZ7y7hw4YKKoyq5JCcnU25uLtu+dOkSARC8VcycOZOIiFJSUgRl8/PziYho\n1apVbKqLP0UjBr8PuekXMU6dOkU5OTnFQrHynSMVZ4zfUwVA1xN94cIF2rlzZyFJI/EhwJ8mKij5\n+fkUHx9P4eHhgv3z5s2jkJAQ9ptIPkd68eJF9uDjHu5Xr14VlFWsi0i1Mnry5AkRkWAqp7jTqlUr\nY4ugFSXaQEDXGDhjx47F33//XYgSFQ1BQUH48ssvERcXh7t372pdLjk5mfmV1YaAgACdw0WPGDEC\n69at0zr/l19+iTP/196Zx8dw/nH8u4Qk6yauiCbuqxFHaenPEVQpVXGrsy2hWkUR1FFHK41SoaXi\nSqlb3PfRCKFCHREUiSByEiRCrs3x+f2xfZ7M7M6e2UiWeb9eeWV35rlmduY7z3yf7xEYaFIfq1at\noh07dphUp3nz5iLbzPzwqlKEuLu706lTp/Tut0ZM/b2FjBs3ziyvy1dOIQv2fGHO8C15yNu2bSu0\n1yNz+n38+LHRZTt37sxNdgDwhSdjxpWVlQUASE9PBwCcO3dOb3lTmTJlCnbt2oUHDx7wbT/88IPe\nOm3atAGQ/xi3WVlZJtlzzp8/HydOnDDrOPv162dyHXO4ffu2WfUKY53BWmasVu15ZSgtsybLli0T\n5WgXzjw6depEDx8+5FHGpWYlwnxXP//8M5UuXdoirrGFBZvBhYeH09y5c0X7Tp48KfrOPHN+//13\nvW3a2dlxD6aoqCgiImrbti0tXrzY4HieP38uyvJApNubbfv27eTs7My9iipVqkRE6hTXUjDvrREj\nRhgchz5sbGwoPT2df+/Tpw+1bt2a7t27x4+BMX78eJo9e7bI84xInROradOmWm9bmh5mAQEBWv2P\nGTOGiNS5nKKjo+np06daZfz9/bW2scAxxkbnT09Pp6dPn1JMTAw/NhnjsWrBaiosmysTrsILOzAw\nkN566y0KCAigixcvil6xg4ODeT0WCm/q1KnUo0ePQosTwNxohSgUCgoJCSGFQmHUDTRx4kTKyMgg\nBwcH2rZtm1H9jhs3TvSA0aRBgwb8MwtlqFAoaMqUKQZfocuVK0cODg68XGhoqM6Qgdu3byeiPDfU\nI0eO0MSJE6lmzZpGHUd+ELp/7t69m27evEmBgYF07NgxunTpEq1du5ZSUlLo119/laxfvXp16ty5\nM61bt46IiNauXUvh4eFkZ2cnKielhmFuqxkZGVSzZk3+QDEEcx2uXLmywbKenp5kb29PlSpVonv3\n7lHt2rUlyxkzsVm7dq1R43vdeKMEK8vmOnv2bK5rbdWqFa1evVpUztPTkxo0aEAlSpSg1atX8yyQ\nCoWC+9l36dKF7t69S7Nnz36FR5CHk5OT6Htubi4BoDZt2tDdu3clb6AyZcqIvu/YsYPfQFK62p07\nd/LPGRkZdPjwYQJANWvWFM3aNGHniwm5+Ph4GjNmDN29e5e3pYvr16/T//73P1KpVNS8eXPy8/PT\nWVbIvn37aPfu3TofKJbSr0qRmppKPXr0IC8vL+rSpQuNGjXKYJ1q1arxz5s2baL69esb1dfSpUsp\nLS2NP8C2b9+ud0Z5584dIiKqVasWERGVL1/eYB9MeCsUCrKxsRE9EA3lpVMoFOTv708KhYIeP35M\nX3zxhcH+XksKUQ2Rb+Li4kwq7+vrC0Ct18vOzkbXrl217PZ27twJHx8fAGr7S2bqMnbsWF62bt26\n8PLywqFDh0Qum68SZqDPaNmyJa5evYqhQ4fC2dkZABAaGoru3btL1t+wYQMAwNbWlh//7NmzdXo7\nZWVl4d69e6hatSrPK+Tk5KTXpZXpZZmX1dGjR/HRRx/p9agSul42aNBAssyUKVNE+lVAbWZ0+PBh\ntG/fHg0bNsS0adMkj9sS6NKxVq9enbtJu7m5Yfz48Xyf5jEMGzYMANCoUSO+rU+fPqIyunSswraE\n55vB3GMBdZwFxsOHD0X1IiMjAejXsfbq1YvryvWNQ0jPnj0lvbgsgbXoWN8owQqoPY0iIiL49+nT\np6NHjx4AgKioKBQvXpzve/r0KRQKhdaCB7Ph3LRpk6itV4mmYAXyvKiGDx+OOnXqAAAXrOwYNWE3\njb+/P7Kzs9GsWTO+T+rGsbOz438AtJwnhDd6RkYGALVPvLA9Ye4izT6ysrKQk5PDz/G6detEwgFQ\nC1ZGbm4uDhw4IDJ+v3v3ruSxWgqhYG3RogXS09Nx7NgxzJgxA8WLF+c2pboeINnZ2fj777/5tcb2\nNWnSRNSPlGDt0qWLZNtC4ScUrDk5OQCA3r17AwCqVasGQH2eWdwHXYJ12bJl8Pf3FzkZCD2vpK6P\n9PR0qFQqvo+dC0thLYL1jVIFEKmV8nXr1uXfvb296eDBg0SkDmAsDLFWsWJFys3NFb1Wd+7cmee7\nHzJkiFGvfa8K9nq+YcMGat26NZ0+fZpcXV0lFzMiIyOpffv2XF84cuRImj59OoWGhlJgYKDOdM/p\n6en8r0aNGjR48GC+LysrS1SWhR9k6hP8p9N2cHCgkJAQvrjFmD9/PtnY2FBwcDCpVCq6fPkyff75\n53qP2d3dnXr27ElQTxJMMr+zBH5+fvTJJ59Q165dadSoUZSdnW1Ql3z//n1q06YNZWdnU3h4uElj\nPnHiBBHlnct+/frRzZs3tfSzDLYmkJSURER5OvAuXbpQWFiY3r52795NI0eOpOHDh9PLly8JgMHs\nCd26daMSJUrQsmXLeFD5Ro0aGXdwrxOFKNSLHAsXLjS6bHBwMHf1KwykZqz60JyxMq8xQBy2DgD3\n/tF3eTAPICFZWVmSr6ZCnj59innz5uHWrVu8D2FbBw4cwMqVK/n3o0eP8mAlDOGMVYonT57wWAUF\ngXDGOmPGDNE+NvsjIv7WwL4zLl26hAcPHmipK4yZsQph0a/eeustUVvCGasUI0aMgI+PD49upWvG\nyjIgP3nyhG9jM9aVK1eKjik8PFyyDRaBS8pxwRysZcZq1Q4C+eXatWvk5uZmVt1Dhw5Rjx49dO7/\n8ssvDZom5QcXFxetGZ8+WrRoUaALOObQt29f2rVrF5UsWZJUKhW1bt3aqFX9sLAwyUDP+pAyXTKX\nChUqiIJxBwQE0M2bN6lJkyY665jqzEJE1L9/f9ECorH4+/vTZ599ZnT5Fy9eaC1saiKVXUHfMUVG\nRlKdOnWMHoOxVKxYkZ49e2bxdi2N1eah6N27N+3du9esuvfv3ydnZ2ezhSoR6RWqRIbtPfNLuXLl\ndF7UNWvWpOjoaNE29rpsDFlZWVSiRAmzhEGzZs0oNDTU6PKVK1c22raSMXXqVPr5559NqmNJateu\nTQEBAZSUlESlS5emmJgYKleuHMXExOisY2i/FOnp6SbXIVK/9r8q7zBT+6latSolJCSY3Z/V2I0X\n4mzZLNiCCItbaQoFcbiFdQqbNm2KyZMn8+/6FvJSUlK0VAGGgjEDEMXzNBZDqgDGyZMneR/GwhZC\nDKkCGKtXr+bR9y0JG3NSUpLBsosWLRLVMQV9qoD//e9/OvcZUgUIcXR05J5y69atM8mbytxrv379\n+mbVA/JCSRZ1rE6wMswRrEzntWLFCsmLgm3z8vISRbdi5kLsD8jTxxalZxOLJCUVrUvKKkCoO5NC\neGzMxMoQQsGanJzMP+uKFqZ5/oRutLoQCtZDhw6J9qWkpBg1zvwgZW6lK84vQ/M49UWTYkgJVg8P\nDxw4cEBvPSnBGhISgiNHjuDw4cN8mzC6lWYwF4au6GSA+dd+mTJlROMyhXr16pnV56um6EgFEzFH\nsE6YMAGA+sdZunSp1v6oqCiePkTIoUOHEBISIhnktygJViJCcHAwBg0axGdKDCnB6uLigqysLHz+\n+ec62xPi7+8Pb29vfPTRR/D29tbqA5CesRIRzpw5g8GDBxvsQ7jts88+w5EjR7T2S81Y6T+7V6mY\nu5amatWqkv0fOnQImzdvxsKFC3lUKuF+xj///IOYmBh+PU2fPl1SsEkJVlYnMTER27ZtkwwNKBSs\nzFZVXxhMY9G8/s299ufMmWP2GIrS/aYP6xilBPkRrPRf5P+nT5/i3r17ovxJ/fr1g4+PD65cucLT\nZQDqlXM2GwoMDBSldzEVY2Zl5lKzZk0AwJAhQ+Du7s63awrWlStX4sqVK+jQoQM/BmF5QPvYRo8e\njT/++IMLDc3ygFiwMvvT5ORknSoFKeuGy5cvIzMzU+e51aUKeFU3nS4HAeEbjdQ+KcqUKYNevXoB\nAE+YyJIJSgnW0NBQtGvXDk5OTgDEMWwZQsF69epV3L17F+3bt8ejR4+0rBMYzGFBCLtfRo4cKbIi\nmTNnDgYMGCB5TMzxZPny5VixYoXOYzaXCxcumF33VfJGCVYiwpAhQ5Cbm8svCk2djfBi0fwsvHHY\nRafLzKQwoP8iS23ZsgWA+FVfl4MA/WdczvRsuo6f6TdnzpypVV+Irhmrt7c3AgICkJqaKqojfDXV\nNa7U1FRcu3aN79MUrNnZ2ShRogQ3E9Psw9LoEqwlSpTgnnj29vZ6PcwYzZs3xzfffIMxY8aAiKBU\nKvk+XTrW8uXL889KpVJL2EipAgICAnDnzh3+fe7cuaKMw1KCNSsrC/7+/tzBQ1N9oeuYhg8fjvHj\nx3PnBE1kwVqEMefGYRlao6KikJKSghcvXuDXX3+VbDMyMhKpqal6+3Z1dTV5DK8S4QKHrotZ6JKr\neSN/++23OttOSkrC4cOHMXXqVCQmJvLtmgkWMzMzMWLECADq89WtWzejBKvwgefq6oqwsDD+XVOw\nnj59Gq6urvyvQYMGOl15LYGmYL1x4wbWr1+PJUuWoH///njw4AFsbGx0CtapU6ciNTVV5JHG0qe3\natWKp+eWEqxt2rRBUlISiAgHDhxAWFiYyF4WUAtW5onFZsFdunRBfHw8iAh79+4FAFH6FynBysbG\n9JqdOnUSqTh03YNCV+emTZuiVatWov2yYC3CFOSMRNOFUgq2ql3UYBkS2Oza19cX+/btAxFh4sSJ\nAMBnKkQElUoFQG00rvkqq0+wMuN0IsL27dt5fIW5c+ciODiYl1u/fr0oDYu3tzfvY//+/VqC9fr1\n6yAiZGZm4uHDh7h16xbWrFmDPn368BnplClTcO/ePZ3ZINasWVPgM1ZjFp+E+k+p8axbt04U80Bz\nRd4YB4GTJ09qtS01Y718+TIAcEsSzd9al2AdOXIkALU1jrGCNTw8XBQrQBasVkRB3TiaOZ80WbNm\nDX766SeLLAbkB09PT6P/9u/fz7N9enp6AgD3E1epVJJ6OkC/YLUUumasRRljAl37+fnBz88PAERZ\nVaUIDg7GuXPneBn2yi4UrOx3A9TBurdt24bw8HC0bdtWa1HJGHMrT09P/qAFpAUrEXHBCqgFv9Dz\nSWrx0tPTE++9955o25soWK3W88oc43V9ZGdnEwAqUaIE35abm8t9ra0dhUJBN27coCZNmtC1a9e0\n9mt6tJQqVYrmz59PkydPLtBxnTt3jt5//32d+3ft2kV9+/al/v3708OHD+nChQtEpHZEMAVLXisK\nhYKcnJyoUqVKlJGRodNPX4g5Xn716tWjnTt3mux0YarnFRHR8OHDaePGjSbViYuLI0dHR5PqEBGV\nLVuWUlJSTK5HRHTx4kVq3bq1WXVfJVbreWWs11Xbtm3p77//JiL9wljTXY+IDApVY2+qogJzudR1\ng2u6k1auXNkoYWBvb683Pqs+4uLieB/M44uISKVSUcmSJfm+8PBwsre3Jzc3N8rOziY7Ozuz+8wP\n2dnZ1KJFC7p8+TIREQ+aro/c3FyqVKmSScKRiHg2C2PrsXOWH9q3b09nzpwRBfPWhTHHLoVw8vK6\n8npMx/Tw999/EwBKSUmhCRMmWLRtZ2dni7ZnLMZc9K8SSwk44Q0nJSBYPzY2NgajLBERrVixgm7c\nuGGRsTHYA3j//v1EJO3SOXDgQCIi/kAvVqwYvXz5koiIfvjhB4uORwg7Vhbc2hg0XbPPnDlDROIo\nZrr+7t27Z1Q5zb83AasTrMePHze5jkKhoJs3b5Kvry+ftdnZ2dHOnTt52hWiPEGpL9/VjBkzaPPm\nzbRo0SJ69OgRRUREmHkkluWnn36iLVu20KVLl4yeRSxatIiIiL799lvR9u+++06y/L1792jRokW0\naNEifmMREQ+7qMm0adN4yEDWH1M3SIUyZCqKLVu2GBy7MSlGvvrqK3r77bcNljOHXr16aW07ffo0\nEeWljWnbti3fx8JRzpo1i5YtW8YD6EybNo3GjRtnUt+ZmZn05MkTrXQ6LVq0ICIyKUfVoUOHTOpb\nxkgKTbubT5jJiLEID5X+Ww0PDQ3lNp9sO8sgIJXRVOp0FYYdKwsyzWDmR0TEDe6ZmQ1DauxsG/uv\nuXCna/HK2MuG2bQ6ODjoDHMotXilOS5DxMXFISAgAM2bNzfopmsJhItXJ06cwODBg7WuL03vLOH+\nCRMmoG/fvjxjwNGjRyUXnKSsApg5W2xsLJYtW4Z169ZplZE6b+fPn9faNm/ePP5Zl1UAIO2EwMZg\nDvlZvGJmaUWdQp2xCjNaFjTstaxUqVIUHR1NJUqUoG+++YYiIyN5mZCQEBo7dix5eXlRUFAQh/0E\nZAAAIABJREFUT4ZHlKefzc7OppiYGJo4caLZY0lNTTX/QCRgkZ4qV67MZyulSpUiBwcHnpd+w4YN\nWvXatWtHRMSjDbm6uurt58mTJ1SuXDlKT08nNzc30cxIKkJV1apViUgdMJnNVGvWrKk3NKCXlxfP\nedWkSRPasmUL1axZk27dukWZmZk8yLiQ6tWrU1RUFE2aNIkqVapksA9L4urqSmvXrqWMjAzy8vKi\nAQMGUHZ2NiUkJIhyewn19b6+vhQQEEDLli0jInVw6M8++4w6d+5M6enpdP78eXrx4oVkf4mJiZSS\nkkItW7akb775xuD42PlasGABxcXFUXx8PD19+pRevHhBbdq00dkPEdHChQtp586d5OTkRKVLl6Zz\n587xffHx8ZJ1bt++zX9rXW9OTC1iDkXlDdEghS3ZzcXUGeulS5e4txQANGzYELa2tqKnZ1RUFEaP\nHg0AqFSpEk8hsnXrVjg6OvJIQI6OjkhOTjYYeKOg0JyxAuqxf/LJJ1i9ejW2bNmCKlWqoFKlSjwa\n2MGDByUdGtglsHjxYpFJDyCesebk5ICIMHnyZBCRyKvmxYsXOscaGxuLdu3aYfHixUhLSwMRiWY6\nmjNWZqLE7Dv9/PxE5YWulYA6OHR6ejrmzZuH2NhY5OTk4NGjRzrHYwk0z6MwFYu9vT0A9WydnduM\njAyds++WLVuiVKlS/LtSqeSzbn05r0hjhqy531A9zTb0OQg0btyYf2e/RVxcnM4ZK2v3ypUriI2N\n1Xr7y8+M1VqwWsFqTr4rAKLgK82aNRNdXOymAIAFCxbA1tYWJ0+eFAUpISLs3r0bEyZM0LrJXxVS\ngjU7O5vfkEuWLIGHhwfPGwWoBasmu3fvRq9evTBx4kR4eHjAxcWF+6kD+u0hS5Ysid9//537rEsh\njG4lRHjO9bm0CmEurZrnXGhnefnyZR7PoSDnDJp2rCzWxKJFi3gyQc0xVKhQQbItIuIhHDt37myU\nS2uJEiXw1Vdf8frGClZ7e3tUr14dgDqWhBB9DgIs/kTlypX59lGjRukUrBs2bBAlUtTEiudzRvP6\nH6EOpDJPsviawlBmUlGwChspwSoFy0oLSAtWzQhMmpGkhL7kUgjjkerSw2nuo//iBrCEf4cPH+bZ\nXP/9919eBlALdiY42KzH0MNs/vz5mD59umQkLUshFAxr164FoI78JNyuKVjYbyZ8cM2YMYPXOXTo\nkJaQ1CVYmRvyn3/+iS5duoCIREn7hG0I1xCYgGQIQ/Dp07GyFESdOnXC+fPnsWvXLgD6daznzp2T\nHI9w/OYgzDRblLFKB4Eff/yRZs6cWeD9nDp1itzd3Qu8H1Oxt7enw4cPG1WWGVRfuHCBZsyYUcAj\nM41atWpRmTJlREnt6tatS3fv3qVixYqRUqnkOe4ZycnJVL58eZP7CgwMpDt37vBkeuaSnZ1N7777\nLrdj1TWuc+fOkUql4tePVEqRoKAg6tixI8XGxlKNGjWISK0bj42NpfLly9ONGze0rBo+/PBDOnTo\nEKlUKr4GILTPDg8PpwYNGmjZa/fr148GDBhAAwYMoHPnztHs2bMpNDSUj0nKQWDlypX01Vdf8bYq\nVqxIK1asIFtbW5owYQJduHCBHB0dafPmzTRkyBBeT6FQUHR0NDk5ORER0eXLl6lly5ai/eaKnZSU\nFCpbtqxZdV8phSnVzeWHH34wuy4LcGHNmPOzSc1Y9cESyRU0prq0Fpb6RUizZs2Qmppq9B+bVVri\nz9bWFvb29lAoFFAqlZJ/9F+ULFP+9M1YdWFuaus3QcdqdXas+WXevHmFPQSrQGh/ai2Yag9qLmw2\nrVQqRZ+VSiWdPXuWEhMTSalUUmRkJCmVSjpx4gRVqFCBAJj0169fP9H3sLAwysjIoLS0NMrNzaXU\n1FTJPyLSuU9fHVMxN6/W+fPnzapnTbwxgvX8+fO0bds2i5jhPHr0iJYtW0abN2+2wMheH8xx7+3e\nvbvF+l+5cqXF2jIWzWPu2rUrdzTRNF8bPXq0SW3v3LlT5GFmyByuIL26pIiLizOrXkE5bRQl3hjB\n2rZtW6pSpQoP4jFx4kRuR0hENGbMGP752LFjFBQUpLOtqlWr0oQJE2jo0KEG+921a5f5gzYBNntQ\nKBQi21xdLp1TpkzhXmcKhYLOnDkj8kLT1Qf7k+KLL77QOa4TJ05wjyR97Ny5k/8Wwt9EH2FhYTRm\nzBhavny5xW2ELcmaNWtE39euXUtERGfPnjWpnQ0bNtDq1au1ts+aNcuo+szDLTY2lm/7888/TRoD\nEZml635jKAT1Q74xR8fapk0bAOB6KgaLFcpWPp2dnQEAX3zxBS8TGhqK0NBQo81aChpd/ZYqVUpr\npXbcuHEApHWsrJ07d+7gm2++Ee0TxlRlfPXVV/j999+1EvixGJ9Sq725ubkoVaqU5JhXrlwp+p6U\nlITHjx/r9byS0rE+f/4cCQkJvHxoaKhWGUuiaW717rvvatmVdurUSVRGaG61efNmpKamcjvpHTt2\naK3YM6KiokTfx44dCzc3N7i5ueG7774TBRkX9m8q5tQx1/OKBfh+nXmjBOvkyZMxaNAgHkvVzs4O\ns2bN4kLnrbfeQvHixZGVlcUvNKHxN6A209J34zM0bwhLItWvSqWCnZ0dN/PRNMmSEqzt2rXj5YiI\nu0emp6dLCtZDhw5hwYIF+OSTT5CRkcHrsrQumoKVRf0vVqwYJkyYgKFDh8LOzo4LlO+//17y+ISZ\nD4gIxYsX12nHKiwn/FwQDz3mFNGsWTO+rUWLFqJz2L9/f0RFRSE3N1eUeluXHWvLli15UGhmbiY8\nRl3XETuHmmNj49DF/fv3tcy4mjZtqrMOOzZhtgFD2NnZ8T8prHQ+ZxJWeYTm/DBNmjSBr68vNm3a\nhHr16nEbTBYAmrU7Z84ceHl5ifohIgQFBSEoKAg2NjbcRq8ozVjbt28PAOjQoQMGDx6MDh06oFKl\nSgAgilLPYIne2rVrBwCoXr06Nx7v3LmzpGBlAouI4ODgIAp6DEjPWNlY69Spw21RWb4yKcHKvL2E\nxyjM1yUlWL29vfHZZ58hKCiIZ0SYP3++VjlDsLqG0PW7CwV61apV8fbbb/N9+hwEhNeZZttSglWY\n84qItGb+umb658+f5/EJgLxg5/qOSbgvKChIK57EjRs3JOuwfqQyLciCtYhizg+j6WkCqF+BZ82a\npdXuoUOH4OXlxXNeCb1pvLy8QES4dOkSrly5YvI4LIHU8U+fPp0Ly8GDByMpKYkLVmGwDUZgYKCo\nnVGjRnGX1hkzZkgKViAvFz0RISkpCZs3b+bCzpDh961bt1CrVi3+XUqw/vPPP9i8eTMyMzP5q+aa\nNWt4EBehYE1OTpbMS1bQN26NGjW0tnXs2FHkeaUpJHUJ1uHDh2P37t0A1EKKHQ8TSJqCtWvXrpg3\nbx5PhbNs2TIesZ9lSNV1/GPHjuWfvby8cPz4ce5Eou9hIayj6VTSu3dvrTpCYevl5QUvLy+cOHFC\nss3XFas8wvz+MF9//TWSkpIQEBAAAOjVqxeqVavG9zPhKYWHhwcaNGiAiIgIyf2aF15BIHUx62Pu\n3LkGy9y/f5/PRnJycnQKVsaBAwf4+QPUee71CVb2Ks/qxMfH61QFMFVPs2bNRPpMlUqlUxXAdOQA\ntJLrWRrhjJHRt29f0TVTtWpVUc4rJliF3nCA+Fo+fvy4UTNWIULBKtUm4/z58wgICOB/rD99dSIj\nIxEQECB6SAhn4boQvtkA0NI3s3TfrzNW6Xll6bQsjJiYGO4tcv78eWrTpo1kud69e9Mff/xBJUuW\npEePHlGtWrUsPhZ9REZGkq2trdHlly5dSpMmTdJK8SFMc8HM0KKjo6lmzZq0e/duatWqVYFGiSpb\ntiypVCoeBUqpVFJaWhr/DaTIzMw06dgZ0dHRZo9Tk5YtW2p5XmmOKyYmhoiIH4uU55XweiNSX9cx\nMTHcC4uI6OHDh/TWW2/pHEuFChUoLS1NFPXL2PvjxIkT9MEHHxhdp0qVKvT48WPRNg8PD9qzZ4/B\nvmbNmsXNwWrUqCGySHgdscrULKVLly6QdoUXuS6hSiROC/OqhOrYsWNp1apVRKS+ME2xGS1Xrhw5\nOTnRkydPRNuFxyu8qfBfyg38Z5guRUJCAlWrVk20zc7OThQqj/HkyRNycHDQ2j537lyaO3eu3rFr\nuoqeOXOG2rdvr1XuxYsXVKZMGb1tFQRMSNSuXZu+/PJL+v333yXLPX/+XCQwhaSmpvIQmvoeKlIw\nASW0KR04cKBRNqZNmjTh5YYNG0bPnz8ne3t7evLkiWQuK02hSqQW7MYgtLG9ffu2UXWsGasUrJZO\nsWINMKGqi5ycHCpevLjkPmNmLytXrjTJc0lTqOrj1q1bVL16dapbt67BstevXxcZwhtrK3ny5Eki\nyptBeXh4GD0+U7ly5Qr/zAQb+9+pUyeqV68eVa5cWfTwqVixos5Z2v3793U+oB8+fEg3b940yZFC\nqVSanOTvzz//5LECHB0dKTIykiIiIiTtZRlr166l5ORk6tOnj0l9vQmONVYjWHXNemTU2NjYiGaa\nUqSmplKpUqWISPzq5+bmJpm5VRNhEBelUkl2dnY0depUg3W8vb0pODjYoGC9desWPXz4kMqUKUM1\na9akWbNmkbe3t8FxEZFIkBakUGVcvXqVmjdvrrVdmI5F8+GTlJREUVFRWhlmDb31GCtUf/vtN/r6\n66+NKmuIOnXqUJ06dahbt256ywEwShUgRF9w7dcFq/G8koWqfgIDA6lly5YUERFB//77r2QZJlSJ\n1JHYg4ODyd7engtVQ0novL29adu2bdSuXTuaPXu2QaFKpH7dnzBhAv36668GyzZq1Ih69OhBtWrV\nouLFi1NAQIDBOkTqKGSnTp0ihUJBWVlZ1KlTJyKyrF5VE6FQzczMpKCgIOrUqRP/Y+MSUqFCBS2h\nGh4ebrExWUqoyliAwlgxyy8zZ84s7CEUKlKxZJVKJTfILl68uMgMqUSJEpLt2NnZiWwohYGxNS+N\nJ0+e4OjRo9zCQKlUahmp67IKaNu2rWicgDqqvi6rAGHf69atEwV/1rQKcHZ2Rt++ffH9999jz549\nALRzd1kafbdN8eLFkZubi9zcXGRnZ/PtusytALUHGnOy0ETTKiAjIwNxcXG4du0ahg4dKllHVwQ3\n+m+lntkRa+6TomTJkjwClhRSFiq6yjJYMPLXGauZsVqK1zUrJUstrFAoaMCAAaJFBV2xa1u1aiVa\nbNI3qyxXrhx169aN5s6dSwqFglQqlVZ+eKl8VAqFgs6dO0cKhYIGDRpEqampVKVKFb0r+0BevvoL\nFy5QamqqKGarEBcXFxo5ciQpFArq3bs33bp1i2rVqsXrC60gTOHLL780qpxQv6hQKCg7O5vHU7Cx\nsaHffvtNb/3t27fT06dPycbGhtf7559/dJa3tbWl6tWrU+vWrbl///Xr140aKwCysbERLb4aIjMz\nk0JDQ02KwWCobGEsMr5q3jjBqplH/XWBBUABQFu3bhUJOV0r7+XKlSNbW1sKCwsjADRmzBid+jKm\nw2V/gwYNolu3bhkcFwBKSEggALRt2zajIzxlZmbSnj17KDc3lxo2bEgVK1aULDd69Gjat28fxcTE\n0OjRo6lRo0akUCioTp06RKRONGgOulb3NWELbSxoT6tWrSgqKorrVw2t8k+bNo2qVatG4eHhNG/e\nPAJArVq1omnTpumso1Ao+ANRoVAYjHrFeOuttygrK4uI1Oeta9eufF+HDh101mNp0qdMmUKjR4+m\nBw8eGOxLqI7q3bs3T+b5xlBYU+X8cPHixcIeQqGj6U3FkvAB6pQqwu9SPzPbP2bMGP7dUJ0jR47g\n0qVLANS+4w4ODqL9mnWio6P56/Dx48cxcOBAEBF/FTSkCnj48CHatWunFQdAF927dwcAeHp64q+/\n/uKeZLpUIeZizG2zYsUKg55Xa9as4Z/v3LkjapsFkpFyEGC/VWBgIAYOHIjatWuLgk5LqQKYAwOR\n2IWWsXHjRsnj8Pf3h6enJz+nmul7pFQBLFeaMDkl89gDjHcdtmasUrCyiFRvGszXnkU3MuZv3Lhx\nICJ8/fXXJvXVvHlzk8dn6nOaCXUpmKeWEKkIY0L3SSndXUREBFq2bGnSuAxh7HFqCtaMjAy9nlTC\nzK7+/v4ADHteMfdaYRAWY7NkCD2vhDEzdDFo0CAA4DmvAOO9AFnyQ+DN0LFajbmVEE0zlr1791Lv\n3r0LaTSvjs2bN9OePXtM1huuXLnSqFV5IUILgvxy7tw56tKli2hbt27d6ODBgxQfH0/Hjx83uq2S\nJUuSvb295D4p54SCwlBfdnZ2WmZvtra2er2ohL/ryJEjjRoH8/AqVsw0rZ69vT13SiAiio+PN1hn\nzJgxZG9vT9u2bTO5r/T0dJPqWDtW6dL6Kpg4cSL5+voWSt9eXl5cr6VJhw4d6PTp0ya1Z44LcLt2\n7QwGvs5vP8Z4XuW3D6I8b60DBw7Qxx9/bFJdKRo0aKDXNG3gwIH06NEj0TZmz2sIU3/bb775hk6e\nPEkrVqygsWPHUsOGDUmlUunV0WqiVCrp9u3bNGzYsFfiwVZYXnKvEqsTrMePHxcp3d80iqpgvX//\nPtWuXdukfswZlzl1SpYsSSqVyqQ6lh5DxYoVKTw83GR7bEOxAqQ4cuSIySlv5syZQ/PnzyciMloo\n+/j40J49eygkJMSkvnx8fEwqb41YpSqAiOiff/7RSo38JjNw4ECjUp8UFMx76OTJk1qv/ZZClwqg\nMDDnAf8qnFyOHTtGO3fuNFmw1qtXj382RfBt3LjRZM+rNwGrNbeShaqYwhSqQgpKqBJRkdLTvaq3\nJpaY0Fg+/PDDAhqJ5ZBdWl8DEhMTC3sIhc73339vVr3JkydbeCQypnLx4sXCHoLFed31q0RvgGCt\nXLlyYQ+BZs+eXdhDICKilJQUk8ovWbKkgEaSf0yNqGStFJVrR8Y0XnvBWhRYsGCBxdq6f/++2XXL\nli1rsXEUNrt37y7sIbwSmAeZjHUhC1YroyAjNlkCfX7uMqazcuXKwh6CjBlYrVXAmwwLMGIK8+bN\nM1hGqVTyzxkZGSY7CSiVSurYsaPBcqYE9Mgvr9JpwBg+//xzWr9+vdHl34Ro+68jVidYP/zwwwLJ\nd2UtmHrsDx48IBcXF71lMjIyTEr1YinM+R0B0JIlS/jCWtOmTal9+/Z05swZnXUaNmxIREQ7d+6k\n/v37a+03x3RK6uGmKwIXkTrDg0qlol9++YWuX79OSqWSateubfAhySJ2mYKuFDAyrw6rcxAoqESC\nMjKvAhbda82aNUZH+iIiioqKohMnTpjc35o1a2jXrl3Ut29fk+sKGTVqVL7qv2lYvWBNSkoyOqGZ\njIxM4REeHk5BQUFUsmRJo2MhWCtWuXglDB5cVIWqqZ4vpiL1SmsId3f3AhiJjIxx1K9fnzw9PV97\noUpkhTNWY9Hn/qhvQcMY7x5L6iPd3d21ciMVBNYQYWjw4MG0detWre360krr49dff6Xx48cbXT4x\nMbFI2D3LWD9WK1hnzpxJP/74o1l109PTueA9ffq03ujphhg6dCht2rTJqNVwhjCISvPmzenq1as6\ny+7du5fGjh1rcqg2KfJznMbyxRdf0Lp168yqGxgYyBPxychYM1YnWHfu3Elly5alhIQEGjFiRKGE\nIFu5ciWNGzfulfZpaQ4ePEg9e/Y0KbycMfzxxx9UrVo16tatm87Qh/ro2bMntWvXjqZNm2axKEhe\nXl4Waed1+N1lXg1WJ1gZcnQrGWNhubOIiPr27Uu7du0yqX6/fv2MKufq6kr169entLQ0kU2wLooV\nK0Y7duwwaSwy1oFVClaFQkHr1q2j7t27U+/evenChQsW7+P8+fPUpk0bi7dr7aSkpLxWrrFFDZYR\nwFScnZ35w0OTMmXKULly5XjbhhIcGsPFixfNTtT4RlDgyV8KAOGwExISkJ6ejtjYWGRkZCA2NlZn\njnZGlSpVQETIyMjg+XeqVq3K8wdp8vnnn0tu3717t9a22NhYPi5PT0/ExsaKcgTlh+fPn0tuNyc5\n26pVq/I7HIvxpuYwk3l9sUpzq5kzZ5KjoyMREVWtWpWGDh1Ky5cvpx9//JHKlSvH890rFArq06cP\nFStWTOThsmrVKho6dCg9f/6coqOjKT4+nh48eEDFixfX6svf31/nODw8PIhIbUvLEI7Lz8+PLl68\nyCMxNW3a1Oxjnjp1qs6Z4tmzZ01uz9bW1izXWEuRkJBAROrXdJbDzNzZmoxMUcMqBWv79u3pp59+\nooULFxIR0Y0bN6h8+fI8tUSTJk2ISL3YsHv3blq4cKHIqcDDw4MOHjxIz58/pz///JOqV69OS5Ys\noaioKK2+WMK1Y8eOERFRdnY2xcbGEpE6d7pCoeA571nu9FmzZpGLiwsNGTKEbt++TVu2bKElS5bQ\np59+SkTqkHdXr14lhUJBUVFRNGnSJAoNDaXFixeTQqGgGTNmEBHRhg0b+GcbG7X3MftORPTRRx8R\nUZ59akxMjCgISlpaGhGpk/kJ2bdvH40cOZLGjBlj1Pl+9uwZERFFRkbSyZMniUgdsWvVqlU661y7\ndo1/Fo6ZwYTpgQMH+LaePXvS2bNnRe0KY8lmZ2fT2LFjjRqzJjVq1BDVFYZE3Lt3LxGR3oSLUscg\nI6OTwp4ym0pgYCACAwORmJiIc+fOAVCrBrZu3Qp3d3ccPnwYLi4uWL9+Pfbt2wcAcHd3R+PGjQGA\n/z9z5gxvc+bMmcjMzMTAgQNFfSmVSt6+kHLlysHX1xeBgYEAgDJlyuDixYu4f/8+Pv74YwCAs7Mz\nduzYwet8+OGHAICGDRvC0dERL168wIkTJwAAEydOxMmTJwEAFStW5LnbDxw4wPOxd+zYEXfv3kXz\n5s15v2xcq1evRlBQEC5fvsz7q1OnDp48ecLLXbt2DSqVCu+99x7mzJkDAAgLC0PJkiUBAD///DMc\nHR3h7u4OAHB1dQURwd3dHYGBgXBwcEBISAhcXFxAROjdu7coP31YWBjc3d1RunRpHDx4EAcPHsSo\nUaP4ftYu+3/+/Hm4u7vj6dOnAIC4uDjcvHmT78/KykJERAQ/nqZNm0r+Fvp4+PAhAMDGxgaA7nTb\nLIV2+fLltfoYOnSoVjldCNUr7DgsSUG0KVMwWIVg3bp1q+i7SqVC3759AUB0cwNA5cqVdeaRX7Fi\nBQAgNTVVtD01NZVvY/87duwoanvNmjX883vvvQdfX18olUqEh4dzfa1wHGlpaaIb1N7eHq1ateLb\nrly5AhsbG/5w2L59Oy9LRJg3bx4AtT4YADIyMjBjxgzk5OTAzs4OADBq1ChkZWVpHQ9rIy0tDYcP\nH4ZKpUKPHj0AALVq1QIATJ48GTk5OSAiXL9+HQDw9ddfAwAyMzOhVCqRmZnJc8k7ODgAAH744QcA\nQGJiImrVqoWtW7di2bJlfIyurq4AgJIlS8LNzQ0A0K5dOwDAxo0boVQqkZiYiIyMDHz//fd8vJGR\nkRgyZAgXgkSEq1ev8v1MsBYrVgypqanYvn07XFxcYG9vD0D9cOzatSv/DQcPHoxff/2Vt3XlyhUA\nwJdffomLFy+iUqVKAICpU6eCiNCwYUMoFAoAwMKFCwEAz5494w/XqVOnQqlU8u8AMHbsWP5bAMDS\npUsBALm5uVq/BwCEh4dLbjcWdk3kF3atGovU9aWLO3fumDqc1xKrEKxSsFmbOVjqx09KStK7f/Lk\nyaLvUjeWUHjUrVsXycnJ/DsTUmxBzNXVFZGRkVw4V6xYEfPmzdN6uLDPxYsXx+HDh1GlShW0b98e\nAFCjRg2UK1dOVCc9PV1Un81AHRwcQES4ffs2AODQoUMAgHHjxiErKwu1a9dGWFgYhg8fDkAtkAMC\nArB69WreTm5uLsLCwgAAR48exe3bt0FESElJ0RovAFSvXp1/79evHwBg165dfH/79u2RmJgIAHBx\ncQGgntmzh2b58uXx0Ucfic6xSqXi9dkCpb29PUqVKgUAojcLIG/m2bhxY37MS5cuRdu2bQGoZ/ox\nMTF8UVOpVGL9+vVav0FQUBDCwsL420q9evX4vqFDh+Ltt99G3bp1eb27d++iWLFiePnyJSpXrgxX\nV1dERUWhUaNGAABPT098+umn/EHu6uqKZcuW4b333uPtzpo1i4+F8fjxY7i6umotcr548QLZ2dn8\nO/ud2H8Z8ylUwXr48GGLtMNeo3VhaY1HQkKCwTLsNZjdVMZgzDgPHjzIP585cwbBwcHYvXu36AYB\n1DPgP//8EwD4bI3x119/8c/Z2dl8Ni4FOw5dZS5evKhVVvO/cH9iYiK3xBDuHzBggOg7m7kyhA+A\nn3/+GaNGjRIJ1l69euHw4cOwtbXFwoULsXr1ahw/fhz79+9HdnY2iAgbN24EEXErjfr162PUqFEg\nIjg7O+OXX37BgQMHcOXKFXTr1o33y/5rHg/bN27cOMmH2/79+wEATZo0ASAWrID63M+aNQsA8P77\n7/O2gLwZelRUlFbbw4YN42MHwFVegO7fCVA/iNnsk73BjB8/XvQwf/fdd/lnJtBlTMfqZqyenp7w\n9PTkn6dNm8a/A+rX2WfPngFQv/YBQPHixfl+od5OWI9dcPfu3QOgvlkzMzP5fmOF89SpU40+lpyc\nHKPLGnp4AGqBz/S2DKZnNJVFixbB09PT4g8lfTAhXa1aNZPOjT6YwJLCz8+Pf96yZQsAtSAD8h76\nfn5+uHDhAjp37oxPPvlEVH/EiBH8Wjt16hTeffddREZGwtnZGYBYKGdkZHAd/rZt29CmTRuuigkO\nDuZlP//8c/5GxWbsTM+7YMECAOo3g23btgFQPySZuggAVq5cCSDvLQfIe7g/fPgQcXFxAMQPW/ZG\nAgAhISH8c3BwsM5zJ6MfqxOsgNruUXiRL1myBID61ebly5dIT0/HnDlzuJ6xefPm/MKlecM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"text": "" } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": "###Adaptive Thresholding with gaussian weighted average \nAdaptive Thresholding with gaussian weighted average is done using the function `cv2.adaptiveThreshold`. \nThe signature of the function is -\n\n```python\ncv2.adaptiveThreshold(src, maxValue, adaptiveMethod, thresholdType, blockSize, C[, dst]) -> dst\n```\nHere, \n\n1. `src` is the input image.\n2. ``maxval` is the maximum value that can be assigned to the output.\n3. `adaptiveMethod` is set to cv2.ADAPTIVE_THRESH_MEAN_C for mean weighted average and to cv2.ADAPTIVE_THRESH_GAUSSIAN_C for gaussian weighted average.\n4. `thresholdType` - the type of thresholding\n5. `blockSize` - value of b\n6. `C` - the constant that is subtracted from the threshold value calculated for each pixel\n5. `dst` is the destination image\n\nFor the example, the value of `b` is 5 and the constant value is set to 7." }, { "cell_type": "code", "collapsed": false, "input": "im_at_gauss = cv2.adaptiveThreshold(im_gray, 255, cv2.ADAPTIVE_THRESH_GAUSSIAN_C, cv2.THRESH_BINARY, 5, 7)\naxis(\"off\")\ntitle(\"Adaptive Thresholding with gaussian weighted average\")\nimshow(im_at_gauss, cmap = 'gray')\nshow()", "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ggDt27Cjs01KoXL9+na1btyYAXrx4kZs3byapFpgDBw5kvXr1uHPnToaEhNDO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\n", "text": "" } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": "That's it! Clearly results are better with adaptive thresholding as compared to fixed thresholding." } ], "metadata": {} } ] }