{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Image filtering" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Image filtering theory" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Filtering is one of the most basic and common image operations in image processing. You can filter an image to remove noise or to enhance features; the filtered image could be the desired result or just a preprocessing step. Regardless, filtering is an important topic to understand." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "### Local filtering" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "plt.rcParams['image.cmap'] = 'gray'" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "The \"local\" in local filtering simply means that a pixel is adjusted by values in some surrounding neighborhood. These surrounding elements are identified or weighted based on a \"footprint\", \"structuring element\", or \"kernel\".\n", "\n", "Let's go to back to basics and look at a 1D step-signal" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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+WXe8obV2ZP5Ca+3uqnp/ZmH+kiTvXtZIVT0uybckeUeSz1XVZUkuTtKSfCjJjdvbB+D4m1oNBmAw6wjrF3TH25Zcvz2zsH5+9gjrSf5Kd/xskt9O8pRt1z9cVc9qrf3Rfh2qqpuXXLpwv68FYNFkrmZ9w6ZIAL1aR/Hhmd3xi0uub51/5D7tnN0dfyjJuUm+q2v7/CRvTfIXk/xaVT3omHsKwFGbLKwGo2YdoE/resB0HbY+AQ4l+b7W2u92f/5St2TjhUmekOR7k/zyXg211i7e7Xw34/749XQX4NSw8ICpMhiAXq1jimRr5vzMJde3zn9hn3a2rn96LqgnSVprLbMlIZPZkpAA9GS6sBqMsA7Qp3WE9Y90x/OXXH9sd1xW0769nWWh/vPd8SEr9guANdicPlCz7gFTgH6tI6zf2B2vqKqF9qrq4UkuTXJvkg/s084HMlvm8dwlyzw+rjt+7AB9BeAoLcysq1kH6NWBR93W2h1JbsjsodAXbrt8TZIzkryltXbP1smqurCqFlZmaa3dm+TfJvmaJP+4qmru/X8xyQ8kmST5lYP2GYDVTZTBAAxmXQ+YviDJTUleV1WXJ7klyZMyW4P9tiSv2Pb+W7rj9lH/H2W2ZONLkzy5W6P9zyd5VmYh/qXdLwcA9GR+6UYPmAL0ay3/ntkF6CckuT6zkP7yJOcluS7JJa21u1Zs50tJvj3JzyQ5K8mLknx3kvcl+c7W2nXr6C8Aq1tculFYB+jT2pZubK19IsnVK7536WjfWvtyZjPx22fjARjAfM36xiE16wB9MuoCsKf5mnUz6wD9EtYB2NN8zfqG1WAAemXUBWBP0/madavBAPRKWAdgT5sL66wL6wB9EtYB2NNUWAcYjLAOwJ4m0/l11n1sAPTJqAvAnhZWg1GzDtArYR2APU2UwQAMRlgHYE9q1gGGI6wDsFRrbSGs2xQJoF/COgBLbS+BqRLWAfokrAOwlFl1gGEJ6wAstbmwbKOwDtA3YR2ApRYeLj3kIwOgb0ZeAJbanFoJBmBIwjoAS6lZBxiWsA7AUpMjD9SsbyiDAeidkReApSZTM+sAQxLWAVhq+zrrAPRLWAdgqcXVYIR1gL4J6wAsNb/O+qHTfGQA9M3IC8BSU2UwAIMS1gFYaqIMBmBQwjoAS03mymDMrAP0T1gHYCmbIgEMS1gHYKn5MhibIgH0z8gLwFLzO5iaWQfon7AOwFLzO5iqWQfon7AOwFKLSzf6yADom5EXgKU25x8wtXQjQO+EdQCWms7VrG8ogwHonbAOwFLzNeuHlMEA9M7IC8BSCzuYmlkH6J2wDsBSC2FdzTpA74R1AJaaTh+oWTezDtA/YR2ApeZn1tWsA/TPyAvAUvNhfUMZDEDvhHUAlpouzKwL6wB9E9YBWGpTzTrAoIR1AJaaLqwG4yMDoG9GXgCWmiiDARiUsA7AUhNlMACDEtYBWGqiDAZgUEZeAJZaqFk3sw7QO2EdgKU2p2rWAYYkrAOw1PTIAzXrNkUC6J+wDsBSi6vB+MgA6JuRF4ClJlM16wBDEtYBWGpxUyRhHaBvwjoAS02OWGcdYEjCOgBLTaZq1gGGZOQFYKmJMhiAQQnrACylDAZgWMI6AEtNbIoEMChhHYCl5leD2TjkIwOgb0ZeAJbaPGJmHWBIwjoAS03VrAMMam1hvarOqao3VdWdVXV/VR2uqmur6lEHaPMpVTWtqlZV/3hdfQVgNYs7mJrfAejb6etopKrOS3JTkrOTvDPJrUmemOQlSZ5eVZe21u46yjYfnuTfJbk3ycPW0U8Ajo6lGwGGta5pkjdmFtRf3Fq7srX2k621pyV5bZILkrz6GNq8LsmZSX52TX0E4CjNP2CqDAagfwcO692s+hVJDid5w7bLr0xyT5KrquqMo2jze5JcneTFSe48aB8BODaL66wrgwHo2zpG3su64w2ttSPzF1prdyd5f5KHJrlklcaq6uwkv5DkHa21t66hfwAco4V11pXBAPRuHTXrF3TH25Zcvz2zmffzk7x7hfZ+IbNfIp5/rB2qqpuXXLrwWNsEOBXN16xvKIMB6N06wvqZ3fGLS65vnX/kfg1V1Q8meWaSv9Va+8wa+gbAAUytsw4wqLWsBrMOVXVukmuTvL219h8O0lZr7eIl3+PmJI8/SNsAp5LNqZp1gCGtY+Tdmjk/c8n1rfNf2KedNyW5L8kL1tAnANZgaulGgEGtI6x/pDuev+T6Y7vjspr2LY/PbPnHP+k2QWpV1ZK8ubv+iu7cOw7WXQBWNVEGAzCodZTB3Ngdr6iq0+ZXhOk2Nro0s42NPrBPO7+Y2aox2z02yVOSfCjJzUk+eOAeA7CSyUIZjLAO0LcDh/XW2h1VdUNmK768MMnr5y5fk+SMJP+qtXbP1smqurD72lvn2nnxbu1X1Q9kFtZ/rbX2UwftLwCrOXKkZW5i3cw6wADW9YDpC5LclOR1VXV5kluSPCmzNdhvS/KKbe+/pTsa+QFGatoWdy+tMmQD9G0tj/a31u5I8oQk12cW0l+e5Lwk1yW5pLV21zq+DwD9WdgQyaw6wCDWtnRja+0TSa5e8b0rj/qttesz+yUAgB5NjjxQr75xyLKNAEMw+gKwKxsiAQxPWAdgV5vTxZp1APonrAOwKxsiAQxPWAdgV/M166ef5uMCYAhGXwB2ZTUYgOEJ6wDsaqIMBmBwwjoAu1qoWTezDjAIYR2AXW1OH6hZP6RmHWAQRl8AdjU/s76hDAZgEMI6ALua2BQJYHDCOgC7mkznl24U1gGGIKwDsKvFB0x9XAAMwegLwK4s3QgwPGEdgF3N72CqZh1gGMI6ALua38FUGQzAMIy+AOzKpkgAwxPWAdjV5vzSjWrWAQYhrAOwq+lczfqGmXWAQQjrAOxqvmb9kJp1gEEYfQHY1fzSjRvKYAAGIawDsKv5sG7pRoBhCOsA7GoyfaBm3WowAMMQ1gHY1cLSjYd8XAAMwegLwK4m1lkHGJywDsCu5stg1KwDDENYB2BXE2UwAIMz+gKwq6kyGIDBCesA7GpzaulGgKEJ6wDsanrkgZp1myIBDENYB2BXi5si+bgAGILRF4BdTaZq1gGGJqwDsKvF1WCEdYAhCOsA7Gq+Zt3MOsAwhHUAdjWZqlkHGJrRF4BdzZfBWA0GYBjCOgC7mh6xzjrA0IR1AHa1OVWzDjA0YR2AXc3PrJ+uZh1gEEZfAHa1sCmSmnWAQQjrAOxqYulGgMEJ6wDsanEHUx8XAEMw+gKwq6kdTAEGJ6wDsKtNSzcCDE5YB2BX07ma9Q1lMACDMPoCsKv5mnUz6wDDENYB2NVEzTrA4IR1AHa1uCmSsA4wBGEdgF0trrPu4wJgCEZfAHa1sM66MhiAQQjrAOxqogwGYHDCOgC7mlpnHWBwwjoAu9qcztWsH/JxATAEoy8Au7IaDMDwhHUAdjVRBgMwOGEdgF1N5spgNpTBAAzC6AvADkeOtMxNrMfEOsAwhHUAdpi2xXr1KmkdYAjCOgA72BAJYBzWFtar6pyqelNV3VlV91fV4aq6tqoeteLXn1FVf6eq/n1V3VpV91TV3VX1+1X18qp60Lr6CsDeJkfmlm08zbwOwFBOX0cjVXVekpuSnJ3knUluTfLEJC9J8vSqurS1dtc+zXx7krcm+VySG5O8I8mjkjwzyb9I8qyqury19pV19BmA5WyIBDAOawnrSd6YWVB/cWvt9Vsnq+o1SV6W5NVJnr9PG59O8v1J3t5a++pcGz+W5LeTfFuSFyb5uTX1GYAlNufKYDaUwQAM5sD/ttnNql+R5HCSN2y7/Mok9yS5qqrO2Kud1tqHWmu/NB/Uu/N354GA/tSD9heA/ZlZBxiHdRQiXtYdb2itHZm/0AXt9yd5aJJLDvA9Nrvj5ABtALCizamadYAxWEcZzAXd8bYl12/PbOb9/CTvPsbv8YPd8T+v8uaqunnJpQuP8fsDnFLmZ9atBgMwnHVMl5zZHb+45PrW+UceS+NV9aIkT0/yoSRvOpY2ADg6E2UwAKOwrgdMj4uqelaSazN7+PR7W2ub+3xJkqS1dvGS9m5O8vj19RDg5LS4dKOwDjCUdcysb82cn7nk+tb5LxxNo1V1ZZK3Jflskqe21j56bN0D4GgtbIqkZh1gMOsYgT/SHc9fcv2x3XFZTfsOVfWcJG9P8pkk39Fa+8g+XwLAGqlZBxiHdYT1G7vjFVW10F5VPTzJpUnuTfKBVRqrqr+T5JeT3JlZUL99DX0E4CjMl8GoWQcYzoHDemvtjiQ3JDk3s02L5l2T5Iwkb2mt3bN1sqourKodK7NU1fOS/GKSP07yFKUvAMOYL4PZUAYDMJh1PWD6giQ3JXldVV2e5JYkT8psDfbbkrxi2/tv6Y5/Nl1TVZdlttrLaZnN1l9dtWM25wuttWvX1GcAlrApEsA4rCWst9buqKonJPnpzJZZfEaSTyW5Lsk1rbXPr9DMN+SBmf4fXPKej2e2OgwAx9GmmnWAUVjb0o2ttU8kuXrF9+4Y+Vtr1ye5fl39AeDYTS3dCDAKChEB2GG+Zv2QmnWAwRiBAdhhfgdTM+sAwxHWAdhhomYdYBSEdQB2ULMOMA7COgA7bE7nZ9Z9VAAMxQgMwA5TNesAoyCsA7DDxKZIAKMgrAOww2T6QM36hjIYgMEYgQHYYWpmHWAUhHUAdrDOOsA4COsA7DBfBmOddYDhCOsA7LD4gKmPCoChGIEB2MHSjQDjIKwDsMPipkjCOsBQhHUAdpgematZN7MOMBhhHYAd1KwDjIMRGIAdJnNlMBvKYAAGI6wDsMPEpkgAoyCsA7CDmnWAcRDWAdhhvgzmdDXrAIMxAgOww3wZjKUbAYYjrAOww1TNOsAoCOsA7LA5na9Z91EBMBQjMAA7zM+se8AUYDjCOgA7LCzdqGYdYDDCOgA7TOaWbtxQBgMwGCMwADvML93oAVOA4QjrAOwwtXQjwCgI6wDssOkBU4BRENYB2GF6xNKNAGNgBAZgBzXrAOMgrAOww/zSjRtq1gEGI6wDsMP8A6Zm1gGGI6wDsMPmVM06wBgYgQHYwdKNAOMgrAOww8TSjQCjIKwDsMNkvgzmkI8KgKEYgQHYYeIBU4BRENYB2GGqDAZgFIR1AHaY3xTJA6YAwxHWAdhhcsTSjQBjYAQGYMGRIy1zVTBRBQMwHGEdgAXzD5duHKpUSesAQxHWAVgwtRIMwGgI6wAsUK8OMB5GYQAWWAkGYDyEdQAWTKyxDjAawjoAC9SsA4yHsA7Ags2pmnWAsTAKA7BgfmZdzTrAsIR1ABZMlMEAjIawDsCC+aUbN5TBAAzKKAzAgvmlG82sAwxLWAdggZp1gPEQ1gFYsLiDqbAOMCRhHYAFCzuYqlkHGJRRGIAFNkUCGI+1hfWqOqeq3lRVd1bV/VV1uKqurapHHWU7Z3Vfd7hr586u3XPW1VcAlttUsw4wGqevo5GqOi/JTUnOTvLOJLcmeWKSlyR5elVd2lq7a4V2Ht21c36S30rytiQXJrk6yXdV1ZNbax9dR58B2N1UzTrAaKxrZv2NmQX1F7fWrmyt/WRr7WlJXpvkgiSvXrGdn8ksqL+mtXZ5186VmYX+s7vvA8BxtLh0o2pJgCEdeBTuZtWvSHI4yRu2XX5lknuSXFVVZ+zTzsOSXNW9/1XbLv98ko8n+c6q+qaD9hmA5eZ3MN1QBgMwqHWUwVzWHW9orR2Zv9Bau7uq3p9ZmL8kybv3aOeSJA/p2rl7WztHqupdSf5u9/1OqFKYz979ldx7/3TobgCs5FNf/Mqf/bcHTAGGtY6wfkF3vG3J9dszC+vnZ++wvko76drZU1XdvOTShft97fFwzX/6w/zahz81xLcGOBA16wDDWkcx4pnd8YtLrm+df2RP7QCwJo95+IOH7gLAKW0tq8GMTWvt4t3OdzPuj++5O/lzD3tQvuHRD+372wIcyHmPeVie++Rzh+4GwCltHWF9a8b7zCXXt85/oad2Ruea73nc0F0AAOAEtI4ymI90x2W15I/tjstq0dfdDgAAnBTWEdZv7I5XVNVCe1X18CSXJrk3yQf2aecDSe5Lcmn3dfPtnJbZQ6rz3w8AAE5qBw7rrbU7ktyQ5NwkL9x2+ZokZyS4OEkRAAAKdUlEQVR5S2vtnq2TVXVhVS2szNJa+3KSt3Tvf9W2dl7Utf8uO5gCAHCqWNcDpi9IclOS11XV5UluSfKkzNZEvy3JK7a9/5buuH1NsH+Y5KlJ/n5VfWuS30tyUZLvSfLZ7PxlAAAATlpr2Ue6m11/QpLrMwvpL09yXpLrklzSWrtrxXbuSvLkJK9L8s1dO09K8uYkF3ffBwAATglrW7qxtfaJJFev+N6lu2y01j6X5CXdCwAATllrmVkHAADWT1gHAICREtYBAGCkhHUAABgpYR0AAEZKWAcAgJES1gEAYKSEdQAAGClhHQAARkpYBwCAkRLWAQBgpIR1AAAYKWEdAABGSlgHAICREtYBAGCkhHUAABgpYR0AAEZKWAcAgJES1gEAYKSEdQAAGClhHQAARkpYBwCAkRLWAQBgpIR1AAAYKWEdAABGSlgHAICREtYBAGCkqrU2dB96U1V3PeQhDznroosuGrorAACcxG655Zbcd999n2utPfog7ZxqYf1jSR6R5PAA3/7C7njrAN+bfrnXpw73+tThXp863OtTx/G+1+cm+VJr7RsP0sgpFdaHVFU3J0lr7eKh+8Lx5V6fOtzrU4d7fepwr08dJ8q9VrMOAAAjJawDAMBICesAADBSwjoAAIyUsA4AACNlNRgAABgpM+sAADBSwjoAAIyUsA4AACMlrAMAwEgJ6wAAMFLCOgAAjJSwDgAAIyWsH2dVdU5Vvamq7qyq+6vqcFVdW1WPGrpvrK6qHl1VP1xVv1pVf1RV91XVF6vqfVX1Q1W1689SVX1bVf16VX2u+5r/t6peWlWH+v47cDBV9f1V1brXDy95z3dX1W93/298uar+a1U9r+++cvSq6vLu5/vT3Vh9Z1W9q6qesct7/VyfoKrqu6rqhqr6ZHfvPlpVb6+qJy95v3s9YlX17Kp6fVW9t6q+1I3Pb93na476ng49ttsU6TiqqvOS3JTk7CTvTHJrkicmuSzJR5Jc2lq7a7gesqqqen6S/yPJp5LcmOSPk/z5JM9KcmaS/5jkOW3uB6qqvqc7/5Uk/2eSzyX560kuSPIrrbXn9Pl34NhV1V9I8uEkh5I8LMmPtNb+zbb3vCjJ65Pcldn9/mqSZyc5J8nPtdZ+rNdOs7Kq+mdJ/kGSTyb5jSR/muQxSS5O8puttR+fe6+f6xNUVf3TJD+e2c/oOzK7z9+c5JlJTk/y3NbaW+fe716PXFV9KMlfSvLlzH5+L0zyS62171/y/qO+p6MY21trXsfpleRdSVqSv7ft/Gu68/9y6D56rXwvn5bZD/Rp285/bWbBvSX53rnzj0jy2ST3J3nC3PmvyewXuJbk+4b+e3mtdO8ryW8muSPJP+/u3Q9ve8+5mQ3+dyU5d+78o5L8Ufc1Tx767+K16/39ke7+XJ/kQbtc35j7bz/XJ+irG6unST6d5Oxt1y7r7t1H3esT69Xdu8d24/RTu/vy1iXvPep7OpaxXRnMcdLNql+R5HCSN2y7/Mok9yS5qqrO6LlrHIPW2m+11v7v1tqRbec/neRfdn986tylZ2c2M/e21trvz73/K0l+qvvjjx6/HrNGL87sl7WrM/u53c0PJnlwkp9vrR3eOtla+3ySn+n++Pzj2EeOQVU9OMmrM/uF+++21r66/T2ttc25P/q5PnF9Q2alv/+1tfbZ+QuttRuT3J3Zvd3iXp8AWms3ttZub12C3sex3NNRjO3C+vFzWXe8YZeAd3eS9yd5aJJL+u4Ya7f1YT6ZO/e07vifd3n/7yS5N8m3dWGBkaqqi5L8kyTXtdZ+Z4+37nW/f2PbexiPv5rZh/f/leRIV8/8E1X1kiU1zH6uT1y3Z1a+8MSq+nPzF6rqKUkentm/oG1xr08+x3JPRzG2C+vHzwXd8bYl12/vjuf30BeOk6o6Pclzuz/O/zAvvf+ttUmSj2VWI/lNx7WDHLPu3r4ls1nXf7jP2/e635/KbEb+nKp66Fo7yUH9le74lSQfTPL/ZPbL2bVJbqqq91TV/Gyrn+sTVGvtc0l+IrNnjf6wqv51Vf1sVf2HJDck+S9J/re5L3GvTz7Hck9HMbYL68fPmd3xi0uub51/ZA994fj5J0kel+TXW2vvmjvv/p/4/vckfznJD7TW7tvnvave7zOXXGcYZ3fHf5BZ7em3ZzbD+i2ZBbinJHn73Pv9XJ/AWmvXZrYowOmZPavwk0mek+QTSa7fVh7jXp98juWejmJsF9bhGFXVi5O8PLNVfq4auDusUVU9KbPZ9J9rrf3u0P3huNn6DJwkeWZr7X2ttS+31j6c5G9ktrrEdyxb1o8TS1X9eJJfyexh4vOSnJHZij8fTfJL3apAMDrC+vGz329bW+e/0ENfWLNuKafrkvxhksu6f2Kd5/6foLryl1/M7J89/9GKX7bq/V42O8Mwtn7+Pjj/8FiStNbuzWxFr2S25G7i5/qEVVVPTfJPk/yn1trfb619tLV2b2vtDzL7xex/JHl5VW2VQLjXJ59juaejGNuF9ePnI91xWU36Y7vjspp2RqqqXprZmqv/X2ZB/dO7vG3p/e/C4DdmNpv30ePVT47ZwzK7bxcl+crcRkgts5WckuQXunPXdn/e637/T5nN4H2yC4CMx9Z9Wxa4Pt8dH7Lt/X6uTzzf3R1v3H6h+7n8vcwy0V/uTrvXJ59juaejGNuF9eNna0C4YvvullX18CSXZvbk8Qf67hjHrqp+Islrk3wos6D+2SVv/a3u+PRdrj0ls5WAbmqt3b/+XnJA9yf5t0teH+ze877uz1slMnvd77+27T2Mx7szq1X/n5fsQvy47vix7ujn+sS1tcLHY5Zc3zq/tXyne33yOZZ7Oo6xfegF7U/mV2yKdFK9MiuJaEl+P8lZ+7z3EUn+JDbUOKleSV6V3TdF+saMYOMMr2O6p+/s7s/Ltp2/IsmRzGbXz+zO+bk+QV9J/mZ3fz6d5Ou2Xftr3b2+L8mj3esT85XVNkU6qns6lrG9um/KcdBtjHRTZisOvDPJLUmelNka7Lcl+bbW2l3D9ZBVVdXzMnsoaZpZCcxu9WmHW2vXz33NlZk9zPSVJG/LbFvjZ6bb1jjJ32x+AE8oVfWqzEphfqS19m+2Xft7SV6XIbek5qhV1TmZjdN/IbOZ9g9m9gF9ZR748P6Pc+/3c30C6v7l5F1J/tfMNkD61cyC+0WZlchUkpe21q6b+xr3euS6e3Rl98evTfKdmZWxvLc796fzY++x3NNRjO1D/yZ0sr8y+wB4c5JPdTf445mt4fuoofvmdVT38VWZfXDv9frtXb7u0iS/ntns3H1JPpzkZUkODf138jrQ/wc/vOT6X0/ynszCwD1J/luS5w3db6997+tjMvsl/OPdOP2nmYW5Jy55v5/rE/CVZCPJSzMrP/1SZvXJn81sff0r3OsT77XCZ/PhddzTocd2M+sAADBSHjAFAICREtYBAGCkhHUAABgpYR0AAEZKWAcAgJES1gEAYKSEdQAAGClhHQAARkpYBwCAkRLWAQBgpIR1AAAYKWEdAABGSlgHAICREtYBAGCkhHUAABgpYR0AAEZKWAcAgJH6/wGEwR6o5gMdkgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 250, "width": 373 } }, "output_type": "display_data" } ], "source": [ "step_signal = np.zeros(100)\n", "step_signal[50:] = 1\n", "fig, ax = plt.subplots()\n", "ax.plot(step_signal)\n", "ax.margins(y=0.1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Now add some noise to this signal:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 250, "width": 382 } }, "output_type": "display_data" } ], "source": [ "# Just to make sure we all see the same results\n", "np.random.seed(0)\n", "\n", "\n", "noisy_signal = (step_signal\n", " + np.random.normal(0, 0.35, step_signal.shape))\n", "fig, ax = plt.subplots()\n", "ax.plot(noisy_signal);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "The simplest way to recover something that looks a bit more like the original signal is to take the average between neighboring \"pixels\":" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 250, "width": 382 } }, "output_type": "display_data" } ], "source": [ "# Take the mean of neighboring pixels\n", "smooth_signal = (noisy_signal[:-1] + noisy_signal[1:]) / 2.0\n", "fig, ax = plt.subplots()\n", "ax.plot(smooth_signal);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What happens if we want to take the *three* neighboring pixels? We can do the same thing:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 250, "width": 382 } }, "output_type": "display_data" } ], "source": [ "smooth_signal3 = (noisy_signal[:-2] + noisy_signal[1:-1]\n", " + noisy_signal[2:]) / 3\n", "fig, ax = plt.subplots()\n", "ax.plot(smooth_signal, label='mean of 2')\n", "ax.plot(smooth_signal3, label='mean of 3')\n", "ax.legend(loc='upper left');" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "For averages of more points, the expression keeps getting hairier. And you have to worry more about what's going on in the margins. Is there a better way?\n", "\n", "It turns out there is. This same concept, nearest-neighbor averages, can be expressed as a *convolution* with an *averaging kernel*. Note that the operation we did with `smooth_signal3` can be expressed as follows:\n", "\n", "* Create an output array called `smooth_signal3`, of the same length as `noisy_signal`.\n", "* At each element in `smooth_signal3` starting at point 1, and ending at point -2, place the average of the sum of: 1/3 of the element to the left of it in `noisy_signal`, 1/3 of the element at the same position, and 1/3 of the element to the right.\n", "* discard the leftmost and rightmost elements.\n", "\n", "This is called a *convolution* between the input image and the array `[1/3, 1/3, 1/3]`. (We'll give a more in-depth explanation of convolution in the next section)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "smooth_signal3 and smooth_signal3p are equal: True\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 250, "width": 390 } }, "output_type": "display_data" } ], "source": [ "# Same as above, using a convolution kernel\n", "# Neighboring pixels multiplied by 1/3 and summed\n", "mean_kernel3 = np.full(3, 1/3)\n", "smooth_signal3p = np.convolve(noisy_signal, mean_kernel3,\n", " mode='valid')\n", "fig, ax = plt.subplots()\n", "ax.plot(smooth_signal3p)\n", "\n", "print('smooth_signal3 and smooth_signal3p are equal:',\n", " np.allclose(smooth_signal3, smooth_signal3p))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The advantage of convolution is that it's just as easy to take the average of 11 points as 3:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 250, "width": 382 } }, "output_type": "display_data" } ], "source": [ "mean_kernel11 = np.full(11, 1/11)\n", "smooth_signal11 = np.convolve(noisy_signal, mean_kernel11,\n", " mode='valid')\n", "fig, ax = plt.subplots()\n", "ax.plot(smooth_signal11);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, to take the mean of 11 values, we have to move further and further away from the edges, and this starts to be noticeable. You can use `mode='same'` to pad the edges of the array and compute a result of the same size as the input:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 263, "width": 391 } }, "output_type": "display_data" } ], "source": [ "smooth_signal3same = np.convolve(noisy_signal, mean_kernel3,\n", " mode='same')\n", "smooth_signal11same = np.convolve(noisy_signal, mean_kernel11,\n", " mode='same')\n", "\n", "fig, ax = plt.subplots(1, 2)\n", "ax[0].plot(smooth_signal3p)\n", "ax[0].plot(smooth_signal11)\n", "ax[0].set_title('mode=valid')\n", "ax[1].plot(smooth_signal3same)\n", "ax[1].plot(smooth_signal11same)\n", "ax[1].set_title('mode=same');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But now we see edge effects on the ends of the signal...\n", "\n", "**Exercise** Look up the documentation of `scipy.ndimage.convolve`. Apply the same convolution, but using a different `mode=` keyword argument to avoid the edge effects we see here." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 250, "width": 384 } }, "output_type": "display_data" } ], "source": [ "from scipy import ndimage as ndi\n", "\n", "smooth_signal11_reflect = ndi.convolve(noisy_signal,\n", " mean_kernel11,\n", " mode='reflect')\n", "\n", "fig, ax = plt.subplots(1, 2)\n", "ax[0].plot(noisy_signal)\n", "ax[1].plot(smooth_signal11_reflect)\n", "ax[1].plot(smooth_signal11same)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### A difference filter" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Let's look again at our simplest signal, the step signal from before:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 250, "width": 373 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(step_signal)\n", "ax.margins(y=0.1) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** Can you predict what a convolution with the kernel `[-1, 0, 1]` does? Try thinking about it before running the cells below." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "result = np.convolve(step_signal, np.array([-1, 0, 1]),\n", " mode='valid')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 250, "width": 382 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(step_signal, label='signal')\n", "ax.plot(result, linestyle='dashed', label='result')\n", "ax.legend(loc='upper left')\n", "ax.margins(y=0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(This might look like the opposite to what you were expecting. For technical reasons, convolutions actually occur \"back to front\" between the input array and the kernel. Let's try the opposite kernel:)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "result2 = np.convolve(step_signal, np.array([1, 0, -1]),\n", " mode='valid')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 250, "width": 376 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(result2);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Whenever neighboring values are close, the filter response is close to 0. Right at the boundary of a step, we're subtracting a large value from a small value and and get a spike in the response. This spike \"identifies\" our edge." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Commutativity and assortativity of filters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What if we try the same trick with our noisy signal?" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 250, "width": 382 } }, "output_type": "display_data" } ], "source": [ "noisy_change = np.convolve(noisy_signal, np.array([1, 0, -1]))\n", "fig, ax = plt.subplots()\n", "ax.plot(noisy_signal, label='signal')\n", "ax.plot(noisy_change, linestyle='dashed', label='change')\n", "ax.legend(loc='upper left')\n", "ax.margins(0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oops! We lost our edge!\n", "\n", "But recall that we smoothed the signal a bit by taking its neighbors. Perhaps we can do the same thing here. Actually, it turns out that we can do it *in any order*, so we can create a filter that combines both the difference and the mean:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.33333333 0.33333333 0. -0.33333333 -0.33333333]\n" ] } ], "source": [ "mean_diff = np.convolve([1, 0, -1], [1/3, 1/3, 1/3], mode='full')\n", "print(mean_diff)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Note:* we use `np.convolve` here, because it has the option to output a *wider* result than either of the two inputs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use this to find our edge even in a noisy signal:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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RK1teIjVU+JWm3Ro9/Oam3RmbvgNzBv7avg7jupWtx1zhB4CD5+pv3LWK5NTXosMcfneg4CeEEEJIQ1iJxXYevGU+O/HoEee2nsW0NGU3UIvglyr8NXr4Fxw27cpTdvs6g1jbEzGuW23azB5+oLHGXbumXdnSw6Zdd6DgJ4QQQkhDjM1apPS0aSynpmllFplafPzJbOMe/lotPU4Hb8nV80KFvyT4zbasuUTG8nkaqvAvltYpV/V7aOlxHQp+QgghhDSEVXW4XSv8qWweWZNnf/exKceZ/IqH32EGP6B6+Btt2l1IZpGxWK8s+Ps6gljbK1f4VcF/XLLz7FjVZQzJmoylMb5gP6irEqqlx9rDP7uYgaY575kgzqDgJ4QQQogtjx2dwl3f24cDNkOX5KFbAV8pgjKRzrWlcDNPrQUKlpl9o84q28kap+zqDCoe/sYEP2DthVc8/J0hrOmVPfzqpu2EZOfZNtyFC9d0G9frbdydt7H0hAN+47XK5bW2jnT1KhT8hBBCCLEkkc7if3/5SXzpsZN4/zeetjxGrgyv6+tAyF+QFrm8hpRF1KPXsUsXevTopKPHy7Gc4RoEf09HwNgwxVJZZeNQDbMFCbD28cuCv68jiHUVKvzHJMG/eSiKi9b0GNftbD25vIav7T6F7z8zarnZUzz8UtMuwKQet6HgJ4QQQoglh8/HjOr9C+cXLCvPcmV4bW8EneGSyG3HpB4r8QwUznQ4IZUpbXJqqfALIdBfp63H7OG3e7w8Zbe3I4g1FQS/XOHfOhTFxWtLFX67xt0vPHQMH/nOc/i9rz+FBw+Xb5CUHP4OVfDLjbtW04BJY1DwE0IIIcSSQ+dVYWdl65GF4treCKKhkjfbSoh6nYVUqbq8YaBkeXnixLSjKbOLdVp6gPp8/HkbC4xVFr9S4e8MYnVPxHb4lhzJuXkoiovWlir8dvaue/aeMS5bbZAWlFjQgHIfG3fdhYKfEEIIIZYcNk1V3W/hY5cTetb2dSAqVfjbsXFXrvBfsKobmwc7AQDJTB5Pn5qt+njZilNL0y5QX1KP3WtslcU/axL8Qb/PcviWpmk4Lg3d2jIUVTz8RydiZZN5j07EcOh86ffliMXsArscfkC19DCas/lQ8BNCCCHEksOmCv9+i8ruuXmTpUep8LehpUc6K9EVCeCl24aM607iORup8NczfMuu58DSw2+K5QSgDN86VxT8U/G0ke3fFQ5gqCuEnkgQ6/sLx2ZyGo5OqJvBH+07p1w/Ytosappmm8MPFHoKdDh8q/lQ8BNCCCHEErliC1hX+EelCv+anohS4U+0YYVftiF1hQO4btugcd1J425S8vDX0rQLqJYep8O37HoOrCxB6qTdwvdSh28V3kt54NaWoShE0fdTqXH3x8+rgv/UdEI525HM5JHJFRp5Q34fwgFVgrJp110o+AkhhBBSRjyVxdlZNarxyESsLD3mnCmlp90r/AtlFf6S4H/q1GzVTUy9sZyAadquQ0uPbYXf9HhN0xRLjy6wlcbd4vt93JTQo2PXuHt2dhHPnplTvl9eU59HsfN0BI1NhHk9AAW/G1DwE0IIIaQMsyUDKMQuHjZV/UellJ41vRFEQ+1d4Zcr5t3hAIa6wrio6F/P5jU8cWKm4uNVD3/9gn/aaYXfRvBPmyw9sVQWueJAsWjIj1Cxwr6ur3qFX8eucffHJjuPjvw7pGbwB8qOVVJ6KPibDgU/IYQQQsowN+zqyEIvlsoag6pCfh8GoyF0hqUKfzvGcposPQCUKn81W4/i4Q/VJrOG6mnaldYrP97ctDtr4d8HYDl864Qi+DuNyxetsa7wy/794e5SH4Ii+Cs07AJM6XEbCn5CCCGElCE37MpVe7lx95ypui+EUI5tx1hOucLfVRSm10mNu9Xy+JUKf8D9pl15MvD6/pI4N1t6zFN2deThW+csK/xdxuVNg1HDpjQZS2FiofDviZPTAAAhgN+4fotxvCz4KzXsAiZLD5t2mw4FPyGEEELKkCv8r750jXFZbtw1Z/ADQFSq8CfaUPAvWFT4X7JlAMUhuNh3dq6iIF2UmnYjoQYsPXVU+DcOOBP8fUqFX7X05POaksG/ZbBk6fH7BC6QqvwvnFvAf+8/D32o7os3D+DarQPG/aqlp7TOXgvB3ydtQljhbz4U/IQQQggpQx669YYrRozL+8fmkS96wZUMfl3wh9rc0iN7+COFn6W3I4jLRnoBFJpRdx+3r/I3UuGvK6VHEvxr+yLGxmQhlVWy8u0sPfLwrYlYCmdmFo2koYFoCL2dqjhXG3fn8SMpnee2S9Zg26rSGYHjk3Fkc4XnUi095R5+Nu26CwU/IYQQskxJpLP4/jOjOClVbJ0+7sxMwa7j9wlcu3XAEKOxVOk+pcJfzHPvbPNYTisPPwDHefxKSk+NFf7ejiD8RcW+kMo6muwbk5KQeiJBpVI+u1jaNJin7OqYh289Lm1m9KFjMnI05+7jU3j0SKmn4dWXrkFPJIjVPYXnS+fyODWdAGBu2q1s6Zm1mCFAGoOCnxBCCFmm/Mm9+/F7X38Kb/i7R2ry08tWjE2DnQgH/Lh4XUno7R8rRDCOzalDtwBThb8NYznNg7d05Dz+x485rPDXOGnX5xPol8T4TLx6pTuWKh3TFQ7YPl4W/+aq/VrJ1iP3KMiRnDpy4+59B8aRLZ7tuXx9L0aKm74dq0rH6L9LioffqmlXeq0XUlnjLBJpDhT8hBBClhVHxmN43zeewpcfP7nUS1lydh8vNFPOJjJlg5IqIUdvXlAUbxdLkYy6j1/18Bcr/G0ey7lgiuXU2Sn9/OML9g21jUzaBYBBqXF3ykHjrryp6goHbPsA5L6Dvo7SMUDpvQPUFKKtVoJfeh1k5D6P7ZKt50hxIq/s4beK5Qz4fcbrrWnq+0Aah4KfEELIsuLj338e33t6FB/77j48ZxoGtNKQ/ehOPeEAcGi85N/fsbog3tQKvy74LSr8YWcV/mQmhx88M6qkAXkBpWIuVZ275Qp0MgNNs65AL6alpt06BH+tjbsLSfWMRH+nHM1Zerydhx9QG3fPz5c2GVYV/t6OoFHJl7ntkpLgl338R4qbR9nDb9W0C6hnHuQzEgDw4bufwT/+/KjjZmaiQsFPCCFkSfj5oQl85DvPKakvjZLM5PA/xao2APzXvrGmPXc7IttTahFKR6QK/47VTiv8BdEoV/jjFSr8f/WTF/C7RbvRVMxZBKXbZHJ5o2HVJ9QKfTjgQ9AvisdpSEkNsTKpBgZvAcBAV22Nu+WWHmvBb+fhB9ThWzJbLAQ/AOyUGncB4ILVXdg6XBL5O6wq/FVy+AH7xt2jEzF868kz+OQPD+L6Tz3Apt46oOAnhBDSchLpLN771b342u5T+PA9zzTtefeemkE6VxJi/73/fNOeu93I5TUkpJQcp4OcAFOFvyjetgxFES5OZx2dS+LMTKI0dCvgMyrTaoXfXvDrdqNEOoenTs06XpubxE0Nu0KPrwEghEC3JFTtLCeLDXj4AVNSj4P3zGzp6ZceL0dzyhXzvrIKf3nFHgA2D1oLfrlxFwBuu3Stcl2x9IzHoGla1Rx+wF7wf/XxU8blG3YM2Z4hIPZQ8BNCCGk5Z2cWjbzz/aPzyOSsq6W1svvYtHL9yHgMxyasJ8Yud8zVdacVfnNCz9bhgugL+H1Kw+YDB8eNy2uLQ7cAUw5/hVhOWdCdX0jaHtdKFP++RRVaTu2JWWxmMrm80cTqE4Xpw7WiWnqqn/mQ1xENBzAQLa17Wm7aTdgLbrlpV2d1T1h5L2V2mnz8sp0HKGxa9ObhRDqH0bmk6uG3iOUE1DMP+noX0zncvee0cfvbrt1k+VhSGQp+QgghLWdCsnDktdKEz0axykdfqVX+WLI+wX90PG4MUtITenRkH/99B0qCf01PSTA6nbQrC9DzTXr/G0UVz+V2HEXwW1T4kyY7j3yGwCmDXfK0XSeWHnVugJ2lZ76CpcdK8NtV9wHgRet7jez+zYOdZRYfIURZlV+x9NRQ4b/32VHMF1/rjQOdeNn2IcvHkspQ8BNCCGk5Zm/y6ZlEw8+ZylpbQ35SQfDn8hru2XMGP3th3PaYdsVcgXZq6ZEHbslebED18T8uxTeuk5o4O0Nqhd+quTWf1xQBKDeKLiV2Gfw65sZdM0lpym49CT1A7cO35I1HtIKHf1YR/GpKjzx8S0c/s2PFhoFOfPR1F+OG7UP4yzsvt9zYyIL/8PkFNYffxsPfYyH4v7K7ZOd56zUb4fPVvokigPU5FUIIIcRFJk1NmrqFpBGeOT1nNFKu7gljYiGFvFbw9U8spDDcHS57zGfuO4TPPXAEAPDtd1+Hqzb2N7wOr2AW/E7sIQBwWMrgv2C1WrmVrRxyr4Sc8hIqNrdmchqyeQ3pXF45SwAUrDPyPuDcvEcq/EriTbko7TZlxZsxV/jroZaUnlxeM3oGhAA6g35LD38qmzPsVQGfUM7CAKXhW3LcaKUKPwD85g1b8Js3bLG9f7uUxf/MmTnosfodQT9CAet6sxwXOreYwb6zc3jmdGETH/L7cOeu9RXXROxhhZ8QQkjLMVcumyH4d0vDkG6+cBWu3jwAoJDpff+B8ir/bCKNf3n4uHH9iePTZce0M2WWHoexnHJM5nZThd8ug32dyRKiVPktojnNKSvnPSL4ZRHfbVnhr9y028jQLZ1amnYVC1IoAJ9PqBuGYoVffr17O4KWFXmzrccuoccp8u/O3pMzxmWrDH55bTpziQy+Is3SeM1laxS7E6kNCn5CCCEtxzxQ6EwTLD27JcF+zdYBvOri1cZ1K1vPFx89oTSVjs42vunwElaWHrvseJlKFf6ucACbBzvLHmNOeYlWieY0Z6x7RfCbU3rMqB7+ckvPYpMr/NXiSq3WOyBbeopNu7KdxjxlV2eNi4L/rPR/y87OA6iC//RMAt97etS4zmbdxqDgJ4QQ0nImFppb4U9n83jypCT4twziVReXkkMePjKpiKNYKot/e+SE8hxnl5vgN1WgU9l8xdQcoJCIovdT+IS16JMbd3XM1eHOKsO35IZdAJhJZJDKVl5bK4iZhliZkW+zSulphoe/rzME3aY+n8xWTLCyajLujgSMx8dSWaSzeeX1Nkdy6sjTdoUANlps7GphXW+kzDoE2A/dAtRm4kePThkbqAtXd+PqTcvHbrcUUPATQghpOeYK/9kGBf9zZ2cNsbVhoAPr+jqwcbDTiJFMZ/N48NCEcfzXd58qs5U0w1bkJawEaTVP+NGJmOGt3zwYtaxSX2xh6zELfiWL36LCbzU4adwDjbsLNTXtlv9ccoW/w0LsOsHvE2rjbYX3TGkyLlbOfabHzybSFafs6sjv4UhfR1nfRa0IIZSJuzp2CT2V1va2azfWlXhESlDwE0IIaTnmpt2xucWGsvgfP6ZW93WsbD3JTA7//NCxsufwYoX/xGS87shSK8FfzRN+qIJ/X8dc4ZeHbunIlV0rD/+sheD3gq0nllQjLs3Ivv5qTbuNCOYBhz5+Zb3S2vpNPv65Cgk9OnLSUqN2Hp3twxaC3yaDH7AW/J0hP26/cqQp61nJUPATQghpOeam3Uaz+BX//pYB4/IrJVvP/QfOI5PL4569Z4w0klXdYWN67EIyq0RFLjUPHprAzX/1M1z/5w/gwNh8zY+3rvBXrqJX8u/rXLy2V7kuD93SkZt2rSr88xaC3wtJPbFUaV3WFf6SIK2Ww19vhR8w+/jtBX/cZm6A7OOfjqeVDZZdFf3mi1ZhfX8Hgn7RNL/89tU1Vvgt+gvecMWI5RA0UhsU/IQQQlpKIp219JLXm8WfzeWx50RJ8F+7tVThv3Skx7AqzCezeOzoFD7/86PG/b/98q0YkSqbXmrcvf/AeWhaIXpRbl50ipXlpFquu5zQs8NCrAGFyFNZkFoNbZLFZ8KqaTdRvg4vZPGrFpnKTbvWOfxS065N9KQTBrvkCr/966JakEqiuF+atjsTz2BOer3NQ7dKjw/gZx+6CU/+0SvxatPk3HqxrvDbi/euUKn/QOdXrtnYlLWsdCj4CSGEtBQ70Vmvh37f6DzixQ3Eut4I1vfLzYcCr5RsPR/97j6cni58n77OIP7XSzYqVoZGewmaybwk2J9+pgpzAAAgAElEQVQfnav58VZTbqt5+OUK/45V1hV+IYTi419rSugBTBV+B027gDcsPfImyTKlp0rT7mK6ORX+waizabtKk7G0yTIP33JS4QeAgN9nm+JTDzsszhJV+v4+n1DOAFyxoQ+XjvTaHk+cQ8FPCCGkpUzYRA3WK/jl/P1rtg6W2UvktJ5T06WzCL9+3RZEwwGlwu8lH79cQX5+dN5RpKZMrU27i+mc8fr4ROVJq5dIPn759dNRPPwOm3a9IPjl18zSw1+laTeZLfWh1BvLCTgfvhW3OSNhHr6levhbZ4/Z0N+BkF+VmpVy+AF1s8IozubhCcEvhHiTEOJzQoiHhBDzQghNCPGVOp9rvRDiX4UQo0KIlBDihBDiM0II5jkRQogHsK3wT9dn6bHz7xu3bR0oE2/RkB/vuK4gJkb6vSn45Qr/dDyNsRp7HKw85pUaQOWEnk02CT06v3LNJgx1hTHcHcYdFtNP5VjOmMOm3UZ6OJqFWjG3mLQbrjx4S67wNyL4VUuPs5QeORlJ8fCbUnrkabZuE/D7yhqAK1l6AOCXig26l6zrwS+8aK1ra1tpVN5mtY6PArgcQAzAGQAX1fMkQohtAB4FsArA9wAcBPASAO8DcJsQ4npN06YqPAUhhBCXkRN61vREjGbNeir8ubymTMi9RvLv6wT9Ptxy0aqyIT56WsmIRy09ZkG57+ycYj+q+vgaK/yHx6sn9OhsHOzE7o/cirymIegvrx3K9pKExTqsmnb1Rmq3yOU1HBibx/ZVXbZivJqHv7taDn+28Um7gPPhWzGbycDmCr+8warUNOsG21d34QWpN6Ta9//dW3fgjl3rMdQVRqiBPgii4pVX8gMALgDQA+B3Gniev0dB7P+epmm3a5r2h5qm3QLgrwFcCODPGl4pIYSQhpAFzBUb+ozL9Uzb3T86bwjbVd1hyymwgGrrCQV8+M0bthjX17WBpQco2HpqwcrDX6lafPi8nNBTWfADhbx4K7EPmFN6nHn4z80la7Yt1cIf/+B5/MLnHsbr/uYh5PLW3ydWxcMfDauC37zepOzhb4Glx67C3y/ZdmYSGWWD1UpLD1DeuFvJw6+zrq+DYr/JeOLV1DTtp5qmHdYa+J9erO6/CsAJAH9nuvsuAHEAbxdCNCdclhBCSF1MSpaey9b3Qrfcn5tPIp2tLYt/9/HK/n2dW3euMqrW775pG1b1lJJl5CZfL6X0mKvgtTbu1hrLeWwiblyuVuGvRtWUnsXS74C/GMuymMlZnpVoBvFUFl9/4jQA4OhEXJk3oJPPa4ilKwv+UMBnxLjm8poyaAtQJ+02YukZ6io17VbapMVtBoUpFf5EWklFspu06xbm36Vqlh7iDp4Q/E3i5uLXn2iapvzF0DRtAcAjADoBXNvqhRFCCCkhW3rW9UWwursgvuvJ4lcHbpX793UiQT9++L6X4ZE/vAXvu3WHct+a3ogRBTi+kKp50+EGmqaVCfZ9Z2ur8Ft5+KcrxHKOzpU2Oxv6rc+UOKVSSk8ykzOEccAnlA3XuEuNuw8dnlDeV/PgNwBIZHJGD0NnyG9sRMzImfBm25UyabcFFX67VCHZwz8VU5t2nVTYm4k53rVa0y5xh+Uk+C8sfj1kc//h4tcLnDyZEGKP1T/U2V9ACCGkgNy0O9QVVgRfLbaefF7DE0r+vr3gBwpe/pG+jrKzAEG/D6uLFX9NK0z9XWri6RzMrpNz80lLoWpFKptDOlcS1UG/MJ43mSm32ADq2Y1aegWsiEqC31zhN9tLVktnW87NuePj/+/948r1CYt+gWp2Hp1KST2y4G/Ew9/fGTLOfM0mMsjaTKGWh5rZpfSMzS0av0td4QACNjYst9gyFDWSeiJBX8XXlrjHchL8elCr3TlP/fY+m/sJIYS0AFm0DkbNgt+52D54bsGoXA51hbDNYsiPU7yWxW811Alw7uNXxGskoEQdWlWMk5mcYbXy+wRWdYfLjqmFTsnSY/bwz5kaSNdIgt+NaM5cXsMDB88rt1ltnKpN2dWp1LirDN5qoMLv9wnFejNtMagMsN+k9EQCxhkKeePY6uo+AIQDfvzBay7C2t4IPvSqC1u+4SAFuM2yQdO0XVa3F6v8V7V4OYQQsmyQPclD3SGsl+wjtVT494+VxO/VmwZs/ftOGOnrwJ6TMwC80bhrFfkIFJJ6brxguOrjZRtNVziArnDASMGZiqXLKvhy5OeankjDoiyqWHrUn0VOjOnrCGJ1T2lzcc4Fwb/n5AxmTE3CVhX+hWTlhB7jvgrTdpsl+IGCrUdf93Q8jVXd5RONY6b3WUcIgf7OoNIvA7S+YVfnN2/YojTKk9aznLZZegXfbiSbfvtsC9ZCCCHEgmwuj5litVKIgte43gq/XA3eMNCYBcVrWfz2FX5njbsLpmq1muteLnZlO4/VIK1a6QzZx3IqmfCdIcXS44aH/74D58tuMwthwBTJWaHCL99n7pOQm3Yb8fADwKDUuGvXe6GclTBtUuSzOjpLUeEn3mA5Cf4Xil/tPPp6l5adx58QQojLTCfSRmNkf2cIAb/PVOF3LrblKq1V9bMWvJbFLw/dGpT82PVYerojAQxEJfFoYek5q/j3G3stAVUUV7L09HaYPPxuCP795YK/MQ+/1LSbquThb1DwRysP38rm8sYGwyfKNxiyj19nqSr8ZOlZToL/p8WvrxJCKD+XEKIbwPUAEgAeb/XCCCGEFJhcKAkXXdDU27Q7vlASh6t6GvOcj3gsi1+2l1y1qd9ouj05lVAEsx3mavVgldSXZjbsAqqH39y0K0dE9nYEsaZX9vA3t2n3yHgMxybjZbdbWnqqDN3SqdS0m2xSSg9QPalHtm1Fw4EyS9uAZYW/dVN2ibdoO8EvhAgKIS4q5u4baJp2FMBPAGwG8B7Twz4BIArgy5qmlf/PJ4QQ0hJkO4meNb62L1JXFv+4JA6HG2wyHfFYFr+cZDMYDWHHqm7j+n4HVX7zQKaBKtXiZgv+kN+HQLFpNJPTlPd03lzh73avaVe288hD3qyaduM2U2vNKE27FQR/Iyk9gKnCb7Fes23LTH+0vJrPCv/KxROCXwhxuxDii0KILwL4w+LNL9VvE0L8pXT4CIADAO63eKp3AxgH8DdCiO8KIT4phHgAhUm+hwD8kXs/BSGEkGooCT1FX3k44K8ri3/cJUvP6GwSeZtJrK1Crhz3dARx6UiPcd2Jj18W/AVLj1QttvCDj86WXvNmePiFEKqPX6ryz5piOeWzM+MLqaa+9rKd5y0v3mBsLKcT6bKoS3OykR2Vm3alwVuh5lX4rTZp5sZsM/TwExlPCH4AVwB4R/Hfq4u3bZVue5OTJylW+a8G8EUA1wD4IIBtAD4L4FpN06bsH00IIcRtzBn8OrXaejRNa6qlJxoOGNXPdC7vOO/eLWQh2R0O4NKRUh6FEx+/2Y9ezQ/e7Ao/UHhNdWQf/5xJ8EeCfuO1z+U1TFaYBlwLk7EU9pwqJC/5BPDKi1cbNhdNK7fJqDYoe2HcVSGWU/HwB5rYtGvxnskNu1ELwT9g5eGn4F+xeELwa5r2cU3TRIV/m6VjT5hvMz3XaU3Tfl3TtLWapoU0Tdukadr7NU2badXPQwghxJpJRfCXBEmtST0LqaxRTY0EfRUtGE5Z1+sdH/+Cqen2knUlwb/vbG0V/q5w0OQHVwW1pmlNb9oF7JN65JQeveK8RknqaY7gf+DguNEgvmtTPwa7wsomc9zk43fu4bdu2s3k8sgVz074pWFn9aJaeqwEf2lz0W2xXqsKPy09KxdPCH5CCCErA7lyrlb4S0k9px1U+GVRuKo70lAGv46XojmVCn8kiJ1ruw07ytGJGBbT1tNydVQPv1+J5TRXi6fjaaSKHvvuSEARtI0gV53l9cwqHv7CulYp03ab4+OX7Tyv2LkagNrrYT6LoyQbVfLwh62bdhdNDbuN/k7Kr8nYfPnvo7xeee6BjpWHv4cV/hULBT8hhJCWMaV4+EviS87Rd1LhV+w8DTbs6ngpmtNc4e8MBYxJwnkNOHCusq2nUiyn2dLTbP++jixCE9IGxdy0CwBrJEvW+YXGBX8yk8NDhyeN66+8uCD45bNK5qQexzn8StNu6WdpZsMuoJ71Gp1NlvUcxKuckbCs8DOlZ8VCwU8IIaRl2Ft6apu2q2TwN+jfL63BSxV+WbAXRPGl66TG3Sq2HrOlp68jiGJoDhaSWSU156wL/n2gcGZBJ65Yekq/A7rFRM7iP9+ECv8jRyaNivvW4Si2FjdLcoV/okKFv55YzmRaathtMJJTfw79LFgur5XNKFioskGx9PDT0rNioeAnhBDSMqZsLT01Vvjnm5fQo7OuzzvRnPOKpacg5lQff5UKv6n66/MJpeI7I4luN/z7ANBpUeHP57WywVuASfA3wcMvx3G+smjnAdTfOXkmBFBdQFvdJ7/OyWzzhm7pVDrzFa+yXg7eIjIU/IQQQlqCpmlKhV/2la/t7agpi1+29DSawa8j21lqmfjrBkosZ7HCf4kczTlWS4W/ID4HbJpA3UjoAUwV/mIsZyydhZ66GQ35EfQXZEgzp+3m8xruOzBuXNftPECVCn+qfJNlhdzjIJ8VkPsqGh26paP0tkyrZ77Mm7qydYYDxiwEAAj6RdPWRdoPCn5CCCEtYSGVRbroQ+4M+ZUKcCjgM5JaNA0Ym6ssuNUM/iYJfg9ZeuQKf09HeYX/hXMLFTdFaixnQaDaTW6VBX8zPfxKhb+YKDOXkCM5S+tZ09O84VvPnJk1LF8D0RCu3Nhv3Kc07Zo9/Mk6KvzprDE3oNkefqDymS95U2gVyymEUF7j3o5QU5rbSXtCwU8IIaQlyAJLru7r1GLrUSw9Pc2xoQxGQwgHCn8WF5JZRXS3knxes2wg7e0IGhaPTE7DofMLts9hVf2VX3N54rFrFf5QeYVftvPIiTGr5abdBgX/t/eeNS7fctEq+KUqt2zpkSv8mqZVrZjr+H2loWKaVvrZlAz+Zll6lN4We0uPXarQgJTUQzvPyoaCnxBCSEuQ02Fk4aVTS+OuGyk9QgjTxN3yTceP9o3hO0+dcTQN9ltPnMaf3ru/LA2mGvF01siP7wz5EfCX/lRfKlX591cYwGVVrbar8J+VUnqaKfg75cFbRXEqZ/DLQ6AGu8KGMJ9JZJDKVo4dtWM+mcE9e88Y13/pyhHlfrtYzlQ2j0yu8KKH/D6EqwzN6rYYvqVM2W2apaf0fpjjatXoVWvB369U+Cn4VzIU/IQQQtwllwUO34fFs/uNmwajVoK/hgq/C5YewGTrMa3hB8+M4l1f2YsPfPMZfHX3yYrP89jRKXz4nmfxhYeP41M/PFjTGsyRnDLyxN19o9Y+fk3TEEvLGe26h798cmsykzOEr08Aq5v4WlpN2jVP2dXx+wSG5aFYdTbufnvPGaNBeMeqLrx026Byf39nyEgrmk1kDFuUeW5BNbossviTGTc8/Pa/j05iROVNHqfsrmwo+AkhhLjLY38LfPUO3HDf6zGCCQDAcHf9lp5kJmeIrIApfaZRlCx+U4X/Cw8dMy5/dfepis/zH3tOG5d/fmgcmlb9jICOVSSnziVSNKfdxN1EOmecIegIls4QKJNbi4JfHnK1pieinE1olKjFpN3ZxdKZBXPFuVFbj6Zp+PfHSxuxX71uc5ln3e8TyvwH3drkNJJTR5m2ayH4m+XhlzegY3OLyEhZ/E56DhQPPy09KxoKfkIIIe5y310AAJ+Wwxv8jwCwq/A7s/TI1d/h7jB8vuY1ItoJ/mdOz+KZMyWBffDcgq2lJpHO4sf7zhnXJ2NpHJ2IOV7DgkUkp47cuHtgbMHSWmTnRVcsPcWUHrf8+4DatKtX+GVLj1mANprU88iRKRybiAMoeNrNdh4dxcdfPFNknltQDTWLv/AzmSftNoNwwG9shPIaMCbZr+Lp6psUxcPPoVsrGgp+Qggh7hGfUq7mi392hhpo2nXDv6+zzmba7lceL7fwfOepM2W3AcB/7z9vCFydx45NO16DmsGvis/h7jB6iuJuMZNT8vR1lDMEUuV30MLD79bQLUC1xiSK4tRqyq5Oo1n8X3rshHH5jl3rbX3tSjRnUfDbvWZ2WGXxu9G0C9hvhGPJ6jakqzcPGJd3beq3PIasDCj4CSGEuMepR5Wr38rdBACKrULHaRa/7N8fbtLQLR2raM6ZeBrff2a07NjvPj2KbK58jd996mzZbbuPTZXdZkclDz9QOUsesG/mHLBI6Rl1qWEXMFX4U+UVfnPFeU1v/dGcp6cTuF8atvW2azfZHiv3Cuj9C04TenSUpt2ke027ALDBZiMcU1J6rM9K3HTBMP71167GP759F15z6ZqmrYm0HxT8hBBC3OPEI8bF70bvxDQKHnSrlB6nWfzjkhhc1dPcCv+IRYX/7j1nkCpuPi5e22OsfWIhhUeOqkJ+MpbCg4cny5738WPTjn388xZDt2QqTYsF7CewWqX0qBn8zd08WVX47Zp2AfVsTa2C/6u7TxkDvV62YwjbV3XZHjsk9Y+ULD2ldVXK4C8dU83D706FX0/qyeTyxu+kT9j3DAghcMtFq/HqS9Y01fpG2g8KfkIIIe5x8mHj4uO5ncZlK0sPoOaOn562EfwuJfQAhSqzrovGF1JIZnL4ipTI847rNuENV6wzrn9nr2rrufeZUeSKynPXpn7DtjIZS+HYZNzRGmQPf0/VCn+5MF6waUCVm5tnFzPI5TWMzrlo6bGq8Fdo2q23wp/M5PDNJ0pN1L/60s0Vj1cr/IX1xFIlsV5rhX8hZZXS0zx5ZWV1M2/qOFCLVIOCnxBCiDsszgDn9hUuCx9+ltxq3GVV4QfM4sa6cVcV/M2tSgf9PsVL/h9PnsbJqcI6uiMBvP7yEbxRagb98fPnFfH1nadL1p9fumoEL5Y81I87tPVUs/RUq/DHbAYyBf0+Q2RrGjCTSLvq4e+0GLylNO02ycN/77NjmCk+70hfB265aFXF4608/LEaPfyWTbtpdyr8GwbKPfyVkpwIsYKCnxBCiDuc2g2gUO3Or7kc55JBBJGF3ydshwCtl8TN8SnriribFX5AtfV89v4jxuU7d21AR8iPS9b14ILVBcvIYiaHHxUTeY5NxPDM6VkAQNAv8LrL1uLarSXBv9th4+5ChaZdwIGHX3q8uXHV3LjrZkqP/L0TxQq686bdpCMLlKZp+NKjJ4zrb3/pJmWyrhXDFtN2a7f0WHj4pZ6TjlAzLT3S8K3iWa9a5wYQQsFPCCHEHSQ7j2/sKbwQfge+F/oYBqIhWz+x7L0+ct46ytJNDz+gNu7K01h/5dqNAAq+6Ddeud64/TvFJt3vStX9my9chb7OEK7dWhr89PixKUcitmrTrlLhLxf8ckKQ2Z4i+/iPjMeMRtOucMDSPtQI4YDPEN/pXB7pbB6zFTz8PZGA4UVPpHOGVaYST5+exXPFeQShgA+/fPWGqo8Z6i5//RrJ4TdSeqTXvdqk3lqQm9nPLySRyuZs+zQIsYOCnxBSkXxew+5jU4rwIcQRqy8Dtr/SuBoWWfSIuK2dB4BROQeAQ+MLlsdMuGjpAdQKv84N24ewbbi0ttuvXGeIsEeOTmJsblFJ59FtPzvX9hiifXwhhRNT9vMFdOQqeD0V/oUKA5lkwf+cNLhrXV+k6T5wIYRi65lbzBhTcP0+UbY2IYTRtA2oGzs7vvxYqb/i9ZevU34+O4YtcvgXahTQXYqlp/DYVFby8Dexwh8K+LBWbmafTSrrtYsfJUSGgp8QUpHPPXAEb/6nx3HLX/5MOY1MSFUufzPwtruB3y9NqO1F3LZhFwC2DEWNqvDp6UUj3UUnk8sbU2KFsG/+bQQra4s55nFtbwdeWqzeaxrw8e8/j1PTBTHfEwng5qKP3O8TeEmNPv5aPPwTFhV+2Z5ifvyg9HrtUwR/c+08OnLjrpy61NsRtNxgrJKHb81VLjLMxNO499kx4/o7qjTryt876C9874VUFslMTvXw19m0q3j4A82VV+akHrnC72S9hFDwk6by7b1ncMtf/Qz/8LOjS70U0iQePDwBoBAV+GzRn0xITXT0Q0NBYHWLRayK2lc/wwE/Ng+WxM2RcdXWI59pGoyGEPA3/8+YbOkBgDU9EbxiZ3kjqLl5V+d1L1qrNG3Kth4nefwL1WI5pVhJPWVGJlZHhd/qrEYz6JT85XLmf59ND8eaHudJPd99+izSxTkIl6/vxWXreyser+PzCWXS88RCqvZJu4qHv7DBSrpU4QfKk3qUoVshCn5SHQp+0lQ++cODODYRx5//6KDSDEbaF7lqlbIZhERIRXw+pAMlO8y6SKbCwcAFq7uNy4dMPv7xefeGbumsN4nft16z0XJj8ZrL1lrmn99+xYhy/ZqtcoW/eh6/2rRbLuZksTodTxkxoDpyxKTZ7jEgPVZOzGlFhV/+m9BjI/hXSz0Z5yoIfk3T8M0nThvXf/nF1b37MrItajKWqnnwlpWlR/6s7GhiSg9Qnl5V63oJoeAnTSOZySmnl+8/OL6EqyHNQs6WpuAn9ZLwlUT82nDlyu0OSfAfPq/6+N1O6AEKFf5A0VYU8Am8xUZMdoUDeNXF6vTSkb4OJYoTKAzr0ivC5+aThvXHjmoV/lDAZzS85rXSEC0dxdJTIaXHvG43kD38suA3N+zqrHbo4d93dh4HzxV+NyJBH37x8nW2x1ohW8EmFlIVz4pYYdW069akXUBNrzo9vWg6I0HBT6pDwU+axpTpj4485py0L6rgz1U4kpAi6QTw99cBP3gf8NzdgKYh5itV+FcFK5/9Uxp3ywS/lNDjkuDvDAXwgVdegHW9EXz0dTsVX7mZN16lVvPfcMW6sgSigN+Hqzf3G9cr+fjzeQ2xdPXqrVXjqU6l6q9dU6tbFX5ZjMpDvuwsPbLgr1Th/+aTpUFbr710reXGqBJqhT+tNME68cR3Bv1G03YinUM2l3dt0i5QXuFnSg+pFQp+0jTM8XCPHp1SPpRIe7LICj+plTNPAOPPA3u+CDz4aUAIzGlR4+6hQDXB78zS40Ykp857bt6OR//vrfi167dUPO5l24cU8Xj7lSOWx6k+fvs8/lg6C93xEw35bTPlleFbpqSeStXqQZsm53V97tijOqXvf1by8NvNYZCn7R4ejyGfL7c/JTM5fE+KQK3VzgOUNz7XWuH3+QS6TJOEVcHfXHklT6A+M7NoyuGn4CfVoeAnTcP8RyedzeOhw5NLtBrSLGTBn6bgJ044+Ujp8qbrAQCz+VKFckBUtrRsHowalpqzs4tK4cDNKbv1EPD78Ok3vQhXbuzDR157kbJZkbnGYR6/0wmqZg+6jOzhLxP80fJNkk+olfVmEpUsPWOSpae303rjccGqboSKCTfHJuL4huTT1/nRvnPG67R5sBPXbBkoO6Ya8ut3bj5pfM4JodqQKiGfCZhPZpTPymZX+Nf2RozN3/hCSmnWZkoPcQIFP2kaUxZpEbT1tDeapim+VFb4iSNOSIJ/c0HwT2ZLFcpeX2XBHwr4sGWodEbgsJTUM9ECS0+t3HThKnzn3dfjt1++zfaYS9f1GOJ3dC6JMzPWZznUDH57IVcpmlOZGmt6jv5o+SZidU8EQRfSjoCCPUpHnhlgV+Hv7QziXTeWXse/+PHBsh4FuVn3zqs31DU/QBb8JyZLE527QgHHzye/tjOJNPSTEQGfaPrrGfD7lAQj2epGSw9xAgU/aRpWA2B++sK45SlZ0h6YBT49/KQqmWTB0qOz6Qbk8xrGsyWxEs1bT9CVUW09JXGjVPhdtPQ0m4KPv1SJfszGx18tg19HjeYsvSaZXN7YpPtEeVpMOOAva+R1y78PAFEpllM+qWHn4QeAd9+0DRsGCmuaTWTw5z88aNx3aiphvHY+Adxx1XrL56iGvGE6Lgv+Gqrl8hkYedPV7IQeHdnHLzd+09JDnEDBT5qG1STWyVgaT59hdnu7IntSASCVYYWfVOHsHiBX/CwY3A50r8bsYgb/krkNt6Y+jZvwTwhc/7tVn2aH1LgrJ/UoHn4PWHpqwYmPX47ktIuuBOybds3NnFbV6gGTj99Nwd9pkxFvl9IDFOwwH//FS4zr33zyNPacnAEA/MeeUnX/xguGFc9/LZgtPTq1VMvlY+X3IOyS4N8gJfXImydW+IkTKPhJ01A8hdIHEG097cuiSfDrQ24IsUXx718HAJiKpXAeAziqjcDXtRoIVJ+Oa9W4m89rSmFh2COWHqeoefxOKvz2onjIlDKj4ySu0ZzU41bDLqBW+GXsLD06t+5cjVfsXG1c/9h39yGdzePuPWeM295cR7Oujlzhl6mlwi8fq1T4Q+5Iq/X91hszCn7iBAp+0jTklJ43XFnKRL7/APP425WkqaLPCj+piiL4bwCg2v3sUmLMXGBR4Z9OpJEtWgR7IoGmN0a6zWUjvUZD6NnZRZy2yOOvNnRLx67C72QgkzmL360MfsB+CmylCr/OXb94sZF2s39sHu/92l6MzRWq8YPREG65aHWlh1ekJxIwmoNlahHPPdLrK29EIwG3LD2dlrdz8BZxAgU/aRryB97tV4wYH6YHzy1Y/mEj3keeHAnQw0+qkMsAp/+ndL3YsCs39NtVVs1sGowi6C/YUUbnkphPZkyRnO1l5wGAoN+HqzaW8vifH50vO2beoYffLqXHSbxkWYW/tzUefplKdiWdDQOdeO/N243rP9lfOlv8xitHLAW7U4QQyqZJp5bEG/n1HVcq/C5ZeljhJw1AwU+ahjx4a+NAJ67bVvKr0tbTniRNAp+xnKQi554FMsXNfd8moLfQUDlVFKRhpLE5PA9MH6/6VEG/D1uH5Cp/rCVDt9xm81CpSnt2tjypp9qUXZ2BaMgY/DSdSCNbtNstKBV+68cPmKI5l8LDX83So/POl29VEpt06sneNzNk8TtUi3i2a9p1rcI/UF7hD/gEwg1sfMjKgVh85qgAACAASURBVL8lpClkc3nMJAqCX4jCH6NbJf/l/Qdp62lHkmUVfgp+UoG5kr8aq0tNl5OxNDaLMbwQ+TX8wfO3A1++3dHTmRt31Qz+9hT865UBSvVbeoJ+H/qLWfaaBiO6Uq3wWwvPllp6LNbQGfIj7FAUhwN+fOL1lyi3XbGhz3beQS1YVfi7ws4n9sqbA8XS41KFf01PxJhPoRO1acwmxAwFP2kK0/G0kRrQ3xlCwO/DrRetMu5//NiU8oeMtAfmpl1aerzLQjKDLz92Ak+csJ/i6jrbbgXe9Qjw9u8AL/ugcfNUPIV5adIuFp0ld5kbdycW2tvSA6ji+qxFFr9TSw8ADEn9EHqfhDmlxwrZ0hMN+dHT4Z4lxKrC77S6r/PyC4bx2svWGNffes3GhtcFAMPd5f0kzWjajbhUcff7RNnZGNp5iFP4m0KagtKUV/xjsq6vAxev7cH+sXlkchoeOjyJ1162dqmWSOqgrGmXFX7P8pn7DuNfHj6OgE/g4T+4pe64woYIdwFrLi27eSqWxjwkO0JyDsjnAV9lYaQ07o4vIJcvbRrat8JfEmxWw7eUCn+VavNwd9hIMNIFp5rSY2PpkTYK6/o6XK0QWzXt1ir4AeDTb7ocGwY6MRgN4c5d9WXvm7H08NfZtBuXzoa65eEHCr8/cgY/BT9xCiv8pClM2jTlvWJnqcp/H338bUdZLCcFv2d57uwcACCb13BgrLwZdCmJpbLIIoCYpm9CNCBVfY07TMO3ZEtPu0Vy6oxIgr+qh7+KMJY/a/XPYPnxdtXqy0Z6Dd+3PBvADTotLD31CP5oOID/+5qd+O2Xb2vaBsXSw19T0671z+GWhx8oj+ZkQg9xCgU/aQpTUoVf/hCVffw/PTiOHKfuthVlg7co+D2L/N4k0t6yXuk2E7XKX93Ws2mgEyF/4c/U+fkUjk6UJvS229AtneGusCG25xYzZVZHpx5+/bl0rCv81sJzqCuMu991HT71S5fhw7ddWNsPUCNWFWgnkZytwNrDX0vTrvWxblb4N5iiOVnhJ06h4CdNQW5Ykn2ll430GpW4mUQGe0/NtHxtpH7KBb+3hCQpkZLeq3g6W+FIF1mcAfLlvyO6CJ2TffzJuapPF/D7sHW49BjdvgIAq3ras8IvhFB9/KYq/0ItHn6LaM64A0sPAFy2vhdvecnGisO9mkE44IOpz7SuCr8bNFzhtzk2HHRPWq0foIef1AcFP2kKdpYen08ozbsPMK2nrSgT/By85Vlku1UitUSC/59vAf54EPiLbUr0ZjxV+D2aR2ONuzLt6uEHVFvPmelKgr+Kh7+rXPAvOBi81UqEEGU+/r5OZ8PX3KZRD7/dsR0uDoQzD9+i4CdOoeAnTUGesmv+EJXHyZ+a4gCudqLMw5+j4PcqsqUnvlSWnvgkAA1ITAKRXuNm6wq/U8HfVXZbR9Df1kLHLpozl9dMlhznFX7D0iNvGDzyGpl9/F6p8Fv1gdSySbLbkLk5Adps6Yl65D0m3oeCnzQFJaWnS63eyKeVzRVj4m3KUnpY4fcsst3KPCG5JWSSpUZcXwCI9AEANE0zLEZzdURz7rCo8K/qCbd19vh6m8Zd85Rcv9kLY8Kqwi9vGLwiBs0Vfq8I/mg4UFaNr2UjGQn6LN8jNyv8q7rDxgRqwBtncUh7QMFPmoKdpQdQP/y81kxIKsMc/vZBrfAvgaUnLtn1osNG5GYinTNmdMR99VT4LQR/G9t5APtozvkaGnYBYEjKkdcr/E5y+FuNucLvlaZdoLzKXy0KVUYIYfk+RVz08Pt8ag+IXWM2IWYo+InB8ck4Hj0yiR88M6qk7jjBLqUHADpCpV8zs4Ak3sY8aZexnN5FSelJLcH/s/hE6XJ0uHSzJECTgZ7ChWAnkHe2Kdk40Gmk2ui0a0KPjl3Tbi0NuwAw0BmCfqJjJpFBJpev+TlagXn4llcq/IAaMgFYTwauhNWmyk1LD6BawmqZDExWNhT8xOAj334Ob/3Cbvzu15/C/hpyvPN5DVPxUoXfPLa9I1j6QKSlp71IZhnL2Q5omqY27S7F/7OYteCXLSbfjvwS8NFx4I/GlEm8lfD7BLYNqz7+ds3g11E9/LLgL1X4exyk5wT8PuXzdiqWrqkHoFVETTGVfR3eaNoF1N+lSNCHgL82WWT1Grtp6QGAXZv6jcsXrbVuaifEjDc+DYgnkKcvTksCvhqzixkjX787EiirbsiZxKzwtxdmL3g2ryGby9f8R5G4i3kjtiQpPXKFv6uUzCUL0GAkCgRqF+sXrO5SihDtGsmpo/uwMzkN0/E0EuksOkOBuqrzQ11hw1I5GUt508MfNqf0eKcqLVtQ66mWW23M3K7wv/PlWxEJ+rG2N4KrNvZXfwAhYIWfSJgrRU5RM/jL/xDL1Y4laSYkdWNu2gWY1ONFzIJ/6T38Q8bFZghQc+Nuu1t6fD6BdbKtp1jlX0jJHn5n4lOuUJ+ZSRjFl1DAh1DAG3/izU271SYItxL59avHAmXVNOvm4C2gcFbhd27ahtuvHHH1+5DlhTc+DYgnGIjWV+GXIznNfkjAJPhZ4W8rrN4v+vi9h7mZekma4xVLT6nCH5f6CeqNiTQ37rZ70y6g+vjPFH389Vb4dY5NxkuP90h1H1Cbdn3CW2tTK/x1CH4rD3+AjbTEe3jnfx1ZcpQKfw2Cf6JKhT8iNe3Sw99eWL1f9PF7D3Nc6pIIfhtLj9y02x0CMH6gEMmZSwNbb3T01OYs/na39ADWST21DN3SkSvUJyTB76W4RrnC39MRhK9K3GgrkV+/egS/1cZMDqogxCt45xOBLDkD0dIH33TceUrPVIVITgAI+Quj1fMakMlpyOTyCNID3hZYCn5m8XsOT3j4F2dKlyVLjzz5ddgfB/7+FYUrnUPAh486euoN/Z3oDPmNjcyanva29ADASF+pcVe39Mwv1hbLCahnVU9MloZ4eaVhF1Ar/H0esvMAwEu3DaK/M4iZRAa3Xbqm5sdbbazCrPATD+KdTwSy5Ay45OEXQqAj6Demfy5mchT8bYKVh59Z/N7DbLNakkm7b7sHSC0UKv1dq0trkQS/v7M0fRfJOUDTAAcDtHw+gffdugOfue8w3vziDejr9E7KS72oFf6CUJ+XKvw9dVh6jk+VKvxeadgF1Ap/r8feu55IEA9++GaMziZx4ZraE2+smnbd9vATUg/e+UQgS85QnSk9kxWm7Op0hEqCP5nOOYqcI0uPlYeflh7vYd6ELUlzvBBApKfwT0IW/B0dXUAgAmSTQD4DZBJAKGp+Jkv+943b8Fsv21p1+my7MGJp6ZFiOR1WwmVLyoTUT+Uln3ynJIC9lMGv0x0J4sI19a1rKXL4CakHllmJwUCdHv5KU3Z1GM3ZnqxowX/kfuDprwG5JbDH1Ij5PUnn8p5prlZTevxApK9056Kzabs6y0XsA2qF/2yTmnZlvOTh3zxU2tRtHXK2wWsXrJt2Ka2I9/DOJwJZcvqKUxs1DZhbzDj22ssV/uFumwo/k3rajnxesxSNK8LSs+8e4O7fKFyOjQM3vH9p11MFq03YYjrniVjGWNI0CKqjD4idK9yQnAV6V2a04JqeCPw+gVxew8RCCslMTqnw19O0K+MlD//Vm/rx+6++ECen4njXjduWejlNxbwxC/oF55QQT+KdTwSy5Ph9Av2dIcPOM5NIO8q7rta0CzCLvx0xT9nV8Url2DVi48B/SlNgzz65dGtxSMpiEx1PZ9HbqgFHyTlg4hDQNVyI5AyVGlLlmQDRcKChCv9yIuD3YU1PxKjuj84u1lXh7+8MGaEIMl4S/EIIvOfm7Uu9DFcwn0mhnYd4FW5DiUKtWfyaplWN5QTUD0FW+NsDq4ZdoHmWnsV0Dv/328/iPV/diz0np5vynA2jacC9H1ATZ+R8eY9i9Z60NJrz7F7gX14BfPZy4Gu/rNwVk3L4uyIBIGJq3F3BmH389cRy+n0Cgxafu14S/MsZcz8aBT/xKp4S/EKI9UKIfxVCjAohUkKIE0KIzwghHM+OFkL8TAihVfjX/nluLqIIfgdJPQuprFHx7Qj6bZMhZA8/s/jbA7uNWbME/w/3jeHr/3Ma//ncGO74h8fw3q/txenpRPUHusm+e4CD96q3yRNkPYq14G9h74GcwS9FcgJq065h6dFJrtwKP1Du41ctPc4Fu1WhxUse/uWMeWPVQcFPPIpnPhGEENsAPApgFYDvATgI4CUA3gfgNiHE9ZqmTdXwlJ+wud37HXhLSK3Dt+Qpu3YJPYDZ0rPMLSEVSGfz+P27n8FULI1P3XEZ1vd3Vn/QEmG3MbOyj9TDKZO4v/fZMfxk/3n8xvVb8J6btzmucDaNhfPAf32o/Pa2qPBbWHpSLdxYx6RNkTRlF1A9/NEQLT0y66VpuyenEkaSmRBAV6gWwV/+2csKf2sot/R4qo5KiIGXPhH+HgWx/3uapn1Ov1EI8f8D+ACAPwPwLqdPpmnax5u9wJWAmsVfffiWk4QegE27Oj/cN4bvPT0KAPjSoyfwR6+7eIlXZI9dr0U6V8eG7cTDwDPfAK58G7DxWgCFxvCy587m8fmfH8V/PHkaH3/9JfjFy9fV/r3q5cD3S1ae3o1A/6ZCtTq6CsjnAJ93K3dWfRWLmVZW+CXB3zWs3BVjhd8WecN/8Ny8cbkrFKhpGq1V4y4Ff2swn4lhhZ94FU9sRYvV/VcBOAHg70x33wUgDuDtQojlleflQQZr9PBXG7qlE5FjOVtpNahCPq/hw3c/gzf87cPYd9Z9P7E8CVNv1vMqdmk8NU/azeeAb/wK8NSXga/cUfDJA5hfLP0evO3ajbh8Q0kITsXTeP83n8ZMDfGwDfOSdwL/6xtA91rgDZ8Dfu1e4M4vAq/9C0+LfcDa0tPSCn98snTZVOGXm3a7IgEgOlx4jYd3qtX+FYjs4T84tmBcdprBrzNMS8+SEQ74EZJSecIU/MSjeOUT4ebi159omqb85dI0bUEI8QgKG4JrAdzv5AmFEG8GsAVAGsABAA9omla9ZL3CkZu/nFh6phxEcgJAp0cr/I8fn8K3njwDAPjs/Yfxz796tavfbyKWNC5bVbi9hJ31qmYPf2K6VMlNxwrisGtY+flv2D6EP379pfjBs6P42Hf3YT6ZRS6v4dR0Av3RFk7mvPA1wNabgGBHtSM9hdUmrKUefsXSU6rwa5qmePijYX9hY/WSd7ZubR5G9vCfmy99NtTi3wdY4V9quiMB4+8lK/zEq3jlE+HC4tdDNvcfRkHwXwCHgh/AN0zXx4UQ79E07W4nDxZC7LG56yKH378tqTWlZ8KppSfkTQ+/PuESAPaPzlc4sjmMz5c2SJ4X/LZNuzVu2OImD/zsSaBrGPOL6lRRn0/gDVeM4J69Z/HgocJjpuJLsEdvM7EPeMDDr1h6ShX+VDaPTK5wRifoFwgHKIZk1vZ2GLNPZGoV/FafvbU+B6mfLknw08NPvIrQzJ80S7EIIf4JwDsBvFPTtC9Y3P9nAD4C4COapn2yynN9AIUNwlMApgBsAvAOAB9EYYPzOk3TfuRgTbaC/6qrrurcs8fu7vbm0SOTeOsXdgMAVvsW8NrwC5WPT2/EC7nCH/hrgqdwccA60eTZzBrsya4HAFwWGMPVwbNNXHX9yOsCgLdF9iIo3NuQ3Ju8CBNaFwCgWyTxpsg+175XoxzL9uPnmfIhOS8KjGFXDe/fZu0U3oHSPvtuvA7PiwvxneTFmNUKHubXh5/HoK+w+XowvRlHc4WklxuCx7EjUEuv/srkf9Lr8XxujXLbVYEzuDx4riXf//3aP6EXMQDAZ/CbmBOF6M2kFsDXk1cAAMLI4q0dT7dkPe3ENxdfhATUs1jrfbN4ZfiI4+cYzXXjx+kLldt+OfIMosLbRYXlwveSOzGtFRzHW/1TuDF0fIlXtPK48cYbcdNNNy31Mlxh165d2Lt3715N03Y18jzLrgSgadpfm256AcBHhBCjAD4H4JMAqgp+uxe2uBG4qtF1epUBKe2he2gt7vo/b6l4/G//+5N4Yf95AMDb73wDfuFF1k2W//rwcey5dz8AYNdLXoq7Xn9Jk1bcGH96737sebj04fzm3/o9XLa+t8IjGuMnn3oAKHr3fZFu3HXXXa59r0b51pOn8fO7ny27/cXXXoeP/UINzcbJeeDLJ4wBVm+69Wq86WX/Bz/65P2YnSvYGD78/vcaDYx/9p/7cfShwnty/a2vwe/c5OJkztQC8NP/r9Cc2zMCXC79vp/aDRz+MRA7D2y7Bbj0DvfW0SAf/e5zeP7xU8pt195wIz58WwtOSGoa8Kd/CxRPKLz/I39qDN46NZXA1z/9UwDAcH837voD7/6+LxXP/cOjePLkjHLbrhddjLve8iuOn+OFcwv48WceVG772B/+fuuTrlYoB/7pMTx+rDBL5CVXXYG77vjVwh35POBjxZ94A68Ifr1b0k5p6bc3EunwBQB/DeAKIUS3pmkL1R6wEqnV0uO0aVe19HjHw2/uUzgyseCa4Nc0DRNSjOl8MoN8XqspjaOV2MVv1mzpifQAl91Zmlg7exKAammSmxQHoqXfo2m3LT0L54HH/75wuW+TKvjPPgk89FeFy8FOTwt+aw9/i/6fJWeBXPH/UahLmbJbltADANk0cPT+wtCtbArY9Y7WrNOjjPR3lAn+2i095X0u0RpiPUljdIVLn1/G4K3MIvAXW4GBrcDwRcAdXyjkrRKyRHjlE0H3jVxgc/+O4lc7j39VNE1LCiEWAPQDiAKg4Legv7P0h2MmkUYur8FfQZC2eyznpCl69PD5mGvfa24xo0RaalphcFlvjYkcrUJ+n7ojAWMKqFUEZFX6N5Uuz55CJpc3BKnPlDkuz3OYcjD8rSGUgVFqnKSSNhPz9vCtJR28lY4DQxcUXssOdUainNBjDOXLpYGvFzdWgciKF/xy465OrZX5/s4Q/D6BXL5g0e0K1xbrSRqjR9qgGcWtqSNAJgGc31f4SrFPlhivCP6fFr++Sgjhk5N6hBDdAK4HkADweL3fQAhxIQpifwHAZJXDVyxBvw+9HUHMLWagaQXRX0nIKyk9lWI5PSr4zYLyyLh7gn98obxaPb+Y8azgT0pV496OoCH465q02ycJ/pmTZdV9WZzI1cpJt2M5E3KcpEnwy3ny5sbjpWb8ADB7qmA18gctN2HxVlX4e9cD732icDmvfk9l6JYu+ENRwBcA8lkgmwQySSC4cgegj/SVD9+rtcLv8wkMRkPGZ0w0zOboViJHoEb0xvQJqf9t6EIQstR4wlymadpRAD8BsBnAe0x3fwKFivyXNU2L6zcKIS4SQigGVSHEFiHEgPn5hRDDAP6tePUbmqZ5JwjegzjN4l9M5wxREfQL9HTY/5HyrqVHFeGuCv75csHv5aQeeWMmb0pqzuHPpoD+zcAr/wS480vAnf+mJPSYNzyDkqXHyfC3hlAq/EPqfV6t8M+cAD7/MuBrvww8+jcArG1WidQSfMyZ5hXIlp5uXfALoebvJ92ff+FlrCr8PXV47+VoTkZytpbtq7qMy1uGi+OCJiVDwtAOELLUeOlT4d0AHgXwN0KIW1HIzr8GhYz+QwD+yHT8geJX+TzZjQA+L4R4GMAxANMANgJ4LQp9AE8C+LBbP8ByYSAawrHJwt5qKpYGVlsfJ9thBqNhiAqnLDtD3qvwa5pWVuE/OZ1AKptzJT5wfCFZdpuXBX9Sep/6OiXBX6uH/4uvA87tK1TQ3/JVYO2LMHeq5Fk2i5vWWnoqVfglwR/3kOB/4gtAvvh7c/8fAy/7oPXgLQ9srMsy+HUivaWzK8lZoNvmQ2YFMGJp6an9T7N8JraLzbot5c5dGzA+n0Io4MNtlxTTsmTBH+kF5keBnhZODifEhGcEv6ZpR4UQVwP4YwC3oSDSxwB8FsAnNE2bqfT4IntQyN/fBeBKAD0oWHieA/AtAP+oaVoLR3e2J7LgqlThn5AbdisM3QJMHn4PCBGgMOk1m1djaXN5DScmE7hwTXfTv5+VpaddBL9chZf7EBwRGweyi8DcqULzK9Sfu2KFP56CpmkVN5MNUcnD3zEACD+g5UoNpgF721rLWDR9FGqapeD3wv+zWMrC0gMAHVKFf7GRLIb2Z6Sv+RX+blb4W0pHyI8Pvdpk25mQBP8Df1Lw9L/x861dGCESnvpU0DTtNIBfd3hsmQLQNO05AL/W5GWtOJympEwuOEvoAVQPf9IjFf5Jm5/tyHjMFcE/0WaCXxaMDVl65Cp60RdfSfB3hPyIhvyIp3PI5DTMJ11sbK4k+H2+gs0ndt449rmFbvzFjw+irzOEa7YM4Nqtg9g2HHVvQ2JFQhL8d/wLIIT14K1WNe0e+3nhdYwOA2suAzpLrkrLlB7AZOlZ2YI/EvRjqCusnDFttMJPD/8Sk88VBL7MvDdmz5CVi6cEP/EGsoffHFspI99XTfB3eNDSY2cX+X/snXecJFW9xb/VaXJOmzOb2SUvGVQkB0FRQBB98MDse5gwvMfz+cwKgoIJRERUBAUzCAiSM8uyy+Y4G2Yn7aSe0KneH7e7697qqurqNDu71Pl85jPVXaGruzqce+75nd/GzkFgctEf78BT+OWiXeM9kVPRbiQM0WTpjT8EZbWg64TDRq1ErQWZb6ouI9w7DAgff+kIv2zpac5cX9VqEP6hTr7x9508u1k0Avvz67sB8d5fMaeRk+Y18+4jpxH0l7g0SiYSTaJHgWUs53h12n3xp7DuL2L54l/AkgvTq8Kewu8K0xoqTIS/UA+/Z+nZr+jbDnHT9/3A7v1zLh48JDEhinY9TCy4zeLPReGfiLGcdgWhG0tUuNs5cGB5+G2LdnPx8MsKejwCt66Ar03m8Df+L323VbG34uMvZVKPk8IPGUk9W7rCGZt0D43x11V7uP4Pb/C/f36zBCcpIRGHfVIXz8Yk4d+fsZxyQbNc6AwMSYMOe4X/rV20C5k+/nwU/lMXtJAKuzp5vsXg1cP4ocsiQXxgt8hi9uBhP8FT+D1kwC3ZUptuHXgefjnycUFbDev3itYMm0tE+CeEpWfz41A/I60MO8HWw5+Lwh82JeB2i6i6yvBOy2OnMG5JPdkIv0RgE4N76RoyiNRpi9p4cWsPA1L05Evbektymmn07zSaXFW1iKZm2KT0ROKlrX9IQX4Nq1XCH7az9FR4lh4Z5qSefAj/3JZqnvjM2+gbibBsWn32HTyUDt0WhD86LN7rpl4VHjyMFzzC7yEDssLvRLbcNt0CKAsYk0ljscSE6DArP7cVcxrThH9LV5hYPEGgyNaM/W7p0XV48CMwuEc0SlpwFhxzjchRt4Ad4c/J0iOTwYZZIlISqBndY3nsFGRbWXcpk3qOuVZYdsJdivc8jfmniwSZqlb2NRxKPCGm5RurQtx+5VHEEzrPbe7h8jteAMbhevZuNpbL62HTY9Cxilh0YcamsYROJJ4oSeKUAodoU9ui3XLP0iNjmlS4q2n5d8md0VTJDDJz/T2MM+RZOBkDuz3C72G/wSP8HjLg1tKjpPRkIfw+n0Z50Jf2hY/G4lTu59bvsod/dnMVrTVldA6OEYknaN83wuzmqqI91nAkppCfFAbGk/DvWSnIPggFqnsDvHE/fGoV+DOvhezhV2M5cyD8st1jyhFpwl8X3YufOHH81oTfZVJUwTj1887rl75b/AG7dvYBgvC31YpGUX6fxuEzDPLaN1zi69kjEf6ejfCriwCYlLiRHkQcYNCvEY0L68DwWGkiZtOIDEMkOSPmD6lEHjPhl86jcTbMOE5s3+I1JZrWYJD0Gq9L7oGPc26Ekz8nZjT/cp0xUB/YDW1L9u+5eXjLwvPwe8hAk5LS49LSkyWWE1AI/vAEsPXITbeaqss4pM1onrIxqfYXC1Z2HiixIhwdFV5S2Te64GwISPaBgV226RF2Hv7cLD2S+ls/HaoFKfWTYLImil+tIgibqsex+ZZLdPQbNRiTao3zqwz5CfoFQRuJxkubQmVT+HdIYkt6ub7S+CwOl7pexmyJMtmHwkrjLek6LzoP/u0huOy3cOSVpT3HAwDTG43PZENV9u9SDxMcmga1k2HOqTB9hXG/l9TjYT/CI/weMiAr/PuGoyQS1oVGPTlYemDi+fgVS1JViHktBuHf1FVcH79s55HJc0kJf/sLcOvR8O058PfrYcrhcOlv4HNb1Fbvw92WuxenaNfU2KphZvrmdK0r49gpyDUh3aVU+HPAXqnoOqXwA2iapqQYlfSannYDXL8DrnkCll+WvnsxwkLg06BW8n+XvNuuU6diHBpveVAwt6Wa0xa14vdpXHHszOw7eDhwIDfb8pJ6POxHeITfQwZCAV+6aCye0C0JTCSWSN/v06ChMrsqVR403m4TIYtfVo6bqsuY12Zk72/aW2TCP2A8ltyGveSEH2CkF2JSQlCoUv0RCvdY7i5fI7mIMBrXidsMAjNgVoDrZ6RvTnMg/ONWtJsDOmwIP6iWp5LbesrrxOBt4dnpu5ZqgvCXBfyKV77k3XaV69uasdo2h9+DAk3TuP3Ko1l1w+lcfdKc/X06HooJhfB7Cr+H/QfvG9iDJZqqQgwm00d6wpGMaWbZDtNYFcLvwnM60bL45QSipupSK/wGWZzXUs0r20XzpIGRaOkKmFOEH9RpZVDVWBuFXyb8FSE/ZQFf2r8fiSWU62mLC38CZ3wdwp1QOxW6N6ZXORJ+OSmqVEW7ax6AVfeJ6M35Z8GCMzO3GRuCP38Kwp28Z+8+buULAEyqMxH+Cpnwj9OMxOTl6cWlvm2ATlnQR6V0XUoezalEcmamHNkW7XqwhPcaHQTo2Qxjg9B8CISqDMIfqAAvldPDfoT37eLBEo1VIbb1iMZHVj7+7sHc7DwwsSw90XgircRqyRkK2cO/qXOoqERctvRMqa+gMuRnOBInoYuOqPk02nFEIgHtLxm3Z5gIf6VE+M3R9OazTwAAIABJREFUmUAsnkgXfvo0CPl9+RF+f0Ck3NS0idsWlh6rCMJxyeHvWA3r/yqWa6ZYE/5AOaz+PaAzGwgQI0aASU4K/3gVYtdNF4kfI/uo1YaZrnUSCcxQa2VK3XwrLBH+apXwx+KJdOG3pqEMRIjH4KXbRUxhdBje+b+lPU8PHsYLL/4UXvixWD7zW6JG5fPbRIH6eHbk9uDBBM/S48ESjVksFd05JPSkUD6Bmm/tk0hkY6WYoWiqCqWJ23Akzh6LRln5Qi7aba0tK72Pv2stjCUbGlW1QsNsdX1Vk7FsofCPSoW55UE/mqYRktJecvLxy5AsPdO1TqrLApbxp42Vch1JhFg8h0Jht8jiPwfEgKXSeK0aEcXcZkuP4uEvlaWnrx22PQ2DHaIQW9NUlV/bRlnArxDrcKkV/vqZMO+d4jwa1d4Osp2oOhRQ+wFoPnjoenjiG/DMzWIA4MHDwQA5g79uKgQrxMDcI/se9jM8wu/BEnIOupXCmkvTrRRkhX9/e/jlgt2UmqxpGoe0liapR1b4W2vGgfDLdp4ZKzJ/bBSFP9PDr9h5ktfN3EshL9QbCn8b+yztPAABv4+G5OBL10XxeNGhFBQ7dCaVmkm1aGIQ1VarDnJVhb9EMxJr/wy/OAe+twD+9llxn2Lr2UpZwKdkuJc8DWvZe+Hy++HaJzPSdhztPD6fqEVIweu26+Fggdxlt3n+/jsPDx5M8Ai/B0s0ZslBz6XpVgoTycOvRHJKsxlyQe2mInbc7ZRmC1pryqktNeHfIfv3j81cP/MEOOd7cPFdcNxHM1bLlqvUzExZUCb8Lq5fbAz2rhE+70Ry+7rpbDnv9xwzeiunRG5SXgczlGjOcAkKd7N12bVY16z1E/L7lCQrMHv4S6Twy023UjMlZoU/6FM+Z/sz/jZrQo/XbdfDwYaxIRhIdhH3BaDRK8D2MHHgefg9WKIpS/Otbd3h9LK5gNEOlS6JyLcfWsfTm7r54tmLOHZOk+12haDHQuEHmNcqJfUUkfA7WXpK0nyr/Xlj2VywC9AyX/zZQCb0qXSlkD9Hhb9nM/zoeLHcvAA+/iL4A+ypO4xOxICk1sK/n0JTVYhNqUOVonDXLeGXFP5m+mmtLVPtKUC99HkpmYe/Z5Ox3DRP/J98WPquJb5tlPl9CrkueSynA5SEHqsaFVnh97rtejgY0GOEEtA4B/zJ9/1QF/TtECk9Uw4XPUk8eBhneAq/B0s0ZrH0rN5tTMEvnlLr6pjlLop2t3aHue2Jzaza2c/3/rHe7enmDLsaBFnh31gkwh+NJ9KvoaYJIltSS8/g3nRHWwLligrsFiMR1cMPUBaUPfwuCL+NR15+vnaWHlAHYt2liOZ0belpSy82a/0ZBbswTik9PUZzLZqSfvmG2Qw1LuXB+PH8OHYeFX5dKdoteSynA8JKJKeFwl/uKfweDjLY2Xke/gLc/nb43RWw9cnxPy8PHvAUfg82kO0UvSY7RSSWYIPkb18ypQ43cOPh39M/kl5OpQSVAkokpzS4OcRk6dF1PUPNzRUyWW2qChHw+0pL+GX//pQjIJB7586RbB7+aP6Ef8At4VcKx4tMoqMjEEm+h30BlXyaYbL0tFnMaJU8hz86Cv3tYlnzQcMssezz8eLpf+A/fvEyAKeGQspM2kgpi3bjMfjHl0U6T/UkOPz9ymrF0hOy+KnxLD0eDjZ02xB+r/mWhwkAj/B7sIRStGsiWxv2DqYjG2c0VjqSNhkVLlJ6Utn/IIhyLJ6wTHEpFOamWylMriunKuQnHInTPxKla2iM1hp3liU7yHaeluSxSkr4/UGYdjTsXpkZx+kS8oCs3ILwR9yk5thYZvpHotQSZprWxVx0wHoGoilLHUlBMHcAdhrUyZYeW4VfsvSUgvDv20o6xLtuOgSM96w8+DIX7ZZU4R/uhhd+JJYrmzIIv/xZtmy6JQ+yPEuPh4MB3dKstEz4a7zmWx72PzzC78ESjQ4e/jWSnWeJSzsPmIp2I9aEUSYJui6Kg93WCOQCOw+/pmnMa63m9Z3iOW7qHCqY8MtddltrBFErKeFfcJb4i45CbMRykw17B0nc8z5mJtqpiPbBx15QVKiRLIR/zE3RtU0X1qntf2ZV+Q3J83gncK7l7iUt2nUTyZler3r4zQk9oCr8JSnC7pEKdpvU+EvZXlUW8FNZNk6Nt7J02VUsPVa1Gp7C7+Fgg2zpabFR+Af3jN/5ePAgwfPwe7CEmfDrutEicPWugfTy0qnu7DzgLod/cFQlSx1FzMKX0R2WU4ZUy8vcIif1mCM5wUz4S0TKguUi/9mEkUicD9zxIvTtoGJoB4wNZDTfMnfZBUEmUyjEw79HNwqxGyL2P37NVbKHv8QKvxOqTZYeC4W/rrLEHn45oafRTPiNazWusZxKl93MQZM8u2DZQdYr2vVwMCEehV6pzkax9Ew1lj2F38N+gqfwe7BEedCftrbEEjoDI7E0qVmdr8LvwsMvK/wAe0tE+BVLT5Wq2B5S5KSezkHjObSMh8KfBXc+u5WOgVF6g8bzNDffUiw9SWU/5xx+G1K9QzfU4NpRez+rovAXu2i3bQm860diUCL/GFuhYRY/rv4Yr/UG2aM38SULwl9TFsDv04gndMKROJFYglCgiHqKVUJPEpFYgg/5/86Rvo0cu3En2xb/Ib2upJ125QFddabCr6T0ZLP0eDn8Hg50jA7ArBMNH3+Z9P3qefg9TAB4hN+DLRqrQ4R7hSWkJzxGXWWQeEJn7R5D4XdbsAuYigndKfydJSP81pYewNR8qzQKf8lz+G3QPxzlx08ItbgXabBmar41KvnC0wq/lMMfcUP4FQVYIvzRWiK6n5AWpyzSK7Kry6ozdpevi1VSVEGomwqHXeZu2/I67o6dxq6E+CxYWcw0TaOuIpi2v/WPRNODu6LAKqEnibFYgvP9z3G4bxNEYHBwPSCuWUk77Wax9AyNykW7Fik9rYth+aWC+OdZa+LBw4RBVRN84EGxHDX9blW3guYHPQ7DPWJ9sPhWVQ8enOBZejzYorFKTuoRRGZL11CaDLbVluVEaspdNN7KVPiLH8c4HImlHz8U8GWoj0rzra7CCb+awZ8q2jUes6g5/I9+BR65Adb9TRBpE2771yYGkq9xj26v8Ft5+NUc/hw9/JIC3DeaYLcuWUBS6TMmNJcypScHJBK6MtNkZekBNZqzv9jddpvmQstC8JdlNPMZiyVYnZiVvl3btya9XCxLz859w6zrGFDvzGbpyZbDP/M4uPDHcNY3YcmFRTlPDx4mBMxk3ueHmsnG7UFP5fcw/vAUfg+2aLLI4pftPEtzUPfBlNJjp/CPld7SI5PH5qpQRuzm9MZKQgEfkViCrsEx+oejikc7V4ybwp9IwCt3wsg+cfvjL0PZIenVe/pH+MUz29K39yERfgcPf/45/NY59wMjUdr1FmaxN3ki26F1UcbutRUBAj6NWEJnaCzGaDSu1IGMF3rCEWIJUcNSVxG0PYe6UkZznn+L+J+Ii1hOCWPROKv12enblT2rgWVAcYp2N3UOcvpNT5LQ4SdXHMkZSyaJFfL1zWrpGf/r5sHDhELtFKML78Burwuvh3GHp/B7sIVVUo9csLskh4JdyD2WE2DvYPEV/m6bSM4U/D6NOc1V6dsbOwcztskFXdKgpdUmllMuis4bPZsMsl/ZlOH1vuWxjQpR79ElS4+jwm/h4c+Wwx8bg8pGoUj7Q1BmPFaK8KfRt93yEJqmldbW4xLyoHNSbbmIj7JAQ6VxrvtKEc0JQik0DVDNCn+oa3V6uRge/ifWd5Ec7/DEeknVD8sKv0VKjzTYsCza9eDhrQTPx+9hP8P7FvZgC6sc9DWKwu++YBdMsZwuU3r29pdW4Tf791OY31bDug5B9NfvHeSoWY15PZau63QNyTn8YoBRFvBTHvQxGk2kCz0tCxtzQfvzxvL0FQox3Nw1xO9e3pm+vXx6Pb27ZA+/SeGPZDbeki09kXgWIhkog/9cLchxZCh9Lrqu0z8SZacmEf591oQfREF1ytbVMzTG1PoK58d1i7svEpaUqmY49yZonG27aUf/KP8ZuJ93+Z6mbWAAVt0Cy9+Xsd24dNu1wFgswUZ9Wrouwt+3jVqGGKCacCRWcPM4WakPywMImxqN9OrRcSD8sTH43ZUi+eTCH4tibA8exhu6LprQNcwS6TyzTgKfSU9tmitEmNopigDiwcN4wSP8Hmxhbr6VSOisKZbCb1u0a1b4S0D4w/YJPSksmFQDr4vl9R35K/z7hqPpJmU1ZQFl0FNXEWQ0Ks6lfyRaOOHfIXXYna4WQX734fXEkzLtCfOaOGV+C4/vkj38DkW7wcyiXVeddkEQfSmtYjiZ+rTTJynCNgo/mAp3i+nj71xr+Gh9znaTjoFRahhmpq9T9L6SlW0JdaXO4rfBWCxOhCAb9Oks1bYBsDSwi2djC0joYkBQiBVKJu5pi5Cuq9dNVi9T+2VL6QF48rtiZmpgF7z3l5Yxso5Y8yBs+LtYvvdyYWPLcj09eCg6BjvguR+K5bI6uN7iO+0d/y3+PHjYT/AIvwdbyEW7PeEx2vcNpz32DZVBpuTYEKvcVSynSpT6hqNF927Lme7mDP4UFrQZJHVdAYRfieQ0NWyqqwim1euBkWjh6nW7NeF/vb2Pv6/uSN/+3BkLWd8xqFp6wtmLdnPO4bdAigi7sfSAOujsLlY0p66rFqZK58ZbnQOjxHRpcDtkTfhL1m331btFAXTTPJh5gkgDkZAafO3UW1jKNgCmBQcgybeHI4V9fiwVfj0BJ39O5I73t0PNpIz95NkAW8K/6l4jxrB/Z+6Ef/vTxnLvFnE8t+lLHtwhMgzBCudu1G91dJsabnmvlYcJCM/D78EWTSYP/5rdasOtXG0C7iw9mUWGXUX28bux9CyYZBD+9R2DeXvsuywKdlMoahb/6AD0bBTLviBMORwQFppvPbQuvdnZh05i+fR6aiuC9Dp4+C2LdgM5xnJaYGA0RfhbieODuhlQN912e7nGwtzxOW+MDUA8eaxQNYQqHTfvGBilC4nwy+lDEuRuu33FTOl57W547CvwuyugY1XG6rG4uBa9UupSm99IaAqPFVa4KxfSpxV+nx+O/ziceyO8/z5LgiM/rq2lR+6B0J9HQ6ITr4P6Gcbtx74qCKqH4uGxr8APj4LnbjVqhDyokAl/84L9dx4yilEX5uGggkf4Pdii0WTpWb1LbriVm50HMot2zSQ6Fk9YxggWO6nHjaVnWkNFWpXsH4nmHQ/aOSATfnVGpKiEf2ivdOBp6Vi457f08uxmYdfx+zQ+fbr4MaqvDNJLDVdGPs/nm26Ba59SDmdVtBsK5BDLuWeViAbd+TIM96bv7k8q393UclnrH+E/34BLf2N7mJIU7dqkB9mhY2CMbjcKf6lSenqkLrumDH4wFP5uqa9Ci8+YlSo0mlMehIddHkvXdYYiWXL4QfRDSGFgp/U2TmicDR951igaHtwNz9+a+3HeaohH4f6r4KZDYdOj9ttFwrDyN8J29fAXYfdr43eOBxI61xrLzYfYbzceGO0X8cy/v2r/noeHCQeP8HuwhTmlZ/VuueFWLcRj0LsV9m1zdTy/T0uTRl3PtIUM2SiReZHtHc/DP78G914Bmx5TVrlR+DVNU1T+jAxyl7CK5EyhqNGcNiT2ha2GN/9dh01lbovoMVBfGSSBj38llvNqdBbUqyr7mJWHPxdLz8pfw28vhdvfASvvSd9tPE+NqsrsFiY5i79olh5Zoc9i5wFROK4QfjsPfymiVkf6jNkXfxnUTsvYJDX4kmdsmhXCX5jCPyTZ7IZdzhYMR+JpgbE86CPgt/mpkZ9PPgo/iBqRt33RuP30920HZR6SeON+WH0/9O+ABz4siL0VVv8expJCT+McmH3quJ3iAYWON4zlSYfab/fmn+C52+DhL4lBV7Ex0ge3HAFP3yiu3fbniv8YHg5YeITfgy3MKT1rJIV/xdBj8LU2uOUweOJbro/pVLhrZecBYanICVufhJ+fAU9+G9b+CXa+pKyWiWOzRSxnCmZbTz5QPPwOlp6Cm2/ZkFj5NZYbiil+c4vHtvbwywp/FsJvE9koE2H5+duhJEW7SofYzHQZMzoGTIR/yM7SUwIPf6+k7jfOyUz+wLgWTyaWsfGEG+HyP/Bw7cXp9YUq/IqH3+WxlKZbZQ7XWVH48yT8AIdfAS3JXg6RIXjiG/kf662Axecby+EueOHHmdvoOrx0u3E7HoVH/xu2PVP68zuQkIjDXqPZnSPh/9tn4OEviALfwQ777fJB9yZxzJnHG/c98l+etcdDGh7h92CLylAgbeeIxBNpS0V1WYDmtmmQSP6o925xfUynLP6BUWuS1Jkr4d/wsHq7y/CwM7CHQwef4ihN3Gen8AMsLArhl7vsltDDL3vwpaLOUQtrDqj2k/7hzD4A8n6p2gs5pSerh18h1VLTLWlQ547wq4XjRYHNuVlhNBqnfyRKD3KBc5docmaCHMu5r1ixnD3SZ8vCzgMG4d+iT2FwwUUw7x2EqwzlvFAPv2VKz+8+AL96D/z98zCwJ3Mft0236gpQ+MM9xnXwB+D0rxrrXrkLOtdZ7+cBQlVw/g+M28/cnOnP3/Uq7HnduN3fDs/+ALY/Oz7neKCgdytEkzMk1W2WTejSKGUW/1PfhdtWCJErhZ0vwbq/FPdxPByw8Ai/B0fIHvcyIlzsf4Ilk6vxNUm55fu2uj6eU+GuncKfs4dfLqA67uNw8mfF8qt3w40L+U7823wg8Aig2pbMKEZSj1q0W0IP/4zj4Kxvi+SU+Wel75bjNeWklvKgP63YR+MxRga6Ycwo9FQU/kBmDn9WD79iMTJUdPl5tgbCsPERePFnsPbPlocxR8MWBTbnZoXUey9CkAGSzdj0OIz0ZmwrN97qL5bC37PJWLYj/NK1Sl3TipBRJGtXIO8WctFuNK4TicZh8xOw6RFrZRiV8Dtm8MuWnlw9/L+6CL41C+46T9Q5zDsN5pwq1ulxUWzqwR7LL4PG5HtqtF+QeRkv32G9Xz61Fgcz5EJ6J3Uf1CL1Qma0rCALb21LjeVHvyLstx7e8vAIvwdHyAr4ZwK/4zvBn/KN8H8DmkiDAVEwKpFFJ5S7tPTIBaI5e/i71hvLh11mNOORmvIcpm2ipiyg+NLNWDjJUHU3dQ0Ri+eeTDNuKT2ti2DFtfD2L8Gic9N3j8asFX4QKv8XA/ewsewDVN40D143imeVmYFQstNuMAcPv41tRrYuzR9ZCfe8R0xzv3q35WHMlp6idCTOwdLTITV+G/BLkZEWHvGa8kA6rGZwLEY0j/dLBhRLjzXhl2dbUu9nuUg2XEC3XV3XM2prRvo7DV93sMoyktM14VcsPbstZ04sERsTNoqxfmHhq2gQSUHv/Cqgwfwz4R03uDvWWxX+gFr78PyPjPf1cK/wgKdw4nXG8sHYJXbd3+Bf31ECBlzDrX8fSqvwy4T/gltFPwAQ6W2v/bK4j+XhgIRH+D04IqWAH+t7k6v8osHNnMGXYfNjahyey8LdCol0mrP45Qz+Oc1V6eWcmm9FR6Bvh1jWfCK7PIW2pST8gnTP8HUxp2rE8VB1lUEm1QpVPhJLsK3HprDNAbIdqaQKvw1GLZT6FOorQkQIENCSJEtqvmXZeEv28Ds13krE1UZesqVHep56/SxjG5v3T2UoQGWSvEbiCUVtzhu5EH7p+g0HpW7LFoW7Pp9W3LoMcKfwK4RfXKOqoIboElZY0W5YKr5NIdIpnVPjHJtITuN9V+NE+ENVUF4vluMR28jTDHS+CYnk69swCyqT12byMvjYi3DZvdC60N2x3kpY+WtRyJm6qEsuMtTg6DA89T1ju1jyvT9pGSw6zzhGvsXVExW7V8JvL4PH/w8ezWOQmC/hH8y0wuWNsUHjs+MPifM48T+M9U98074w28NbBh7h9+CIxqoQ1Qzz3eCP8WniR2Jo+qlw5IfEj30KLn38bi09coFpZy4Kf/dGUkSHhlkQkFT1QIhww+L0zWNC27IeTk3qyc3WEx6LpYscQwEftRUq8Rkfwm9t6QExoOm1ab6VrWg34qReD/eKxkwglFe/9fP0N84y9unbbltcVvTC3Xf+L3zwb3DxXTDzOMdNZTvZP2ddB9f8C65bCzNPtNxe9vFbFUPnjL52Y7lhtuUmMuGfdN+58O05fOnVk6lHzLoVovAPWdjs4t0y4bc+J1cZ/CnU5WHrkeMhkz0n0miZ7+4YbzWMDsDfPgd3ngk/PRUG94oi8Lf/l7HNyz8XgsnLPzfuO/qq/K7RgYJ/fZv0b8areSjhx34YTrkeFpyT+V40o1SWnl7JVls/U/TJWPFhqEkOMIb2inQgD29peITfgzViY9D+ImcP3s9doW8xTRNkcJ9eTfm7bxOqnvxj75bwByVvcYalxyBI0xsr07aeobGYbWRnBmQ7T0umwtddZygwy9mY9XCFFO7KBbst1WUZjcrGW+EvM1t6KoL0SM2aUoW/0XiCeEL8AAZ8GkG/RQ6/ky/cQUGXn2dVXZOh7sZG1V4CEpSOz8WI5qyfAbNOgCXvUomMBTr6pcebvAymHCZUOr81ia0rZlKPeabEphhQrqfwjfTCcA8+EjRpIkp2OJq/wj80ZvEcerMXEg/mQvhXXAtnfhPee7ftoCYDToTfgzVW3gOR5HdYdNj4bM4/A6YdLZbjEbjzHMNKVlYLh14skr/8yff2aL9rC+eERyIBO19U78s1PWfeafC2L8Clv1ZFMCuUytIjfyZT5xCqFOeVwjM3Z3RU9/DWgkf4PajY9BjccTp8Yxrc8U5Oa/8BR/oMYnx77ccJ1CdVCvnLzWXhrluFv6Y8QJuUauO6cLdbIvzNmUpfe5Wh8M+PbchYb0YhCr9i56nNjP8sqv3jzrPh52fBvZeLLOYkRmP2Cr9ovpWp8Fup+5BDDr9Lwl9bEYSGmcbKfdstD9csFe52F6tw1yXk912bxTU0o14ZxBV4rvEonPRpOOJKOPS9ykyJDPlaaFJCUyPi/TpcgMJvVUjv75M+6zZ1BWG3KT0AR3wAjv2IiIqsbHTeNgW3hF/XIVrcxn0HJBJxeOEnxu0VHzYiXjUN3vHfxrr+HbDiIyJxZvmlwnbl85nI6kFi69nxXKaNbOfLpXu8msnGcqkJP4jC7JTwFRm0LbL38NZAFunFw1sS7S9Y3n177Cz65hgFoXlZeiSV2azwDyiEP0hbTTntvcJnv3dgNN00yhGKwp/Z4nxjYAEnJ5dnjKwVCo9FtnkKbrL4B0aj3PDHNVSE/HzujAXpPPauIfuCXchsvKXresYsgCvoOrS/aHiaLzKys8ecPPyVIdbIlp6kmjxqR/jdxnI6xF7K0at1FUFhu0pF/+3bBjNWZBzO3A9iPKES/nKHLQWK2m03WA7v+C/HTXRdV66FJr3ejdoA6BAuwMNvNbMW6pcJv7Wi6TqHPx9ER9TOppOXZ26z7Rn4x5eS6T3vgIt/UdxzONCw4WFDlCmvh+WXqOtnnywKnZvmiQLdqiYRcyr7vmunGbU2A7ssv18POKx5QL19ya9F4lmpYPbwJ+LCflMo7Ai/PwCnfkGo+4ddJmo2PLxl4RF+DyqmHQUkC/4a57K7dhk/2NjIS4kFbNKn8Y2pUgMiefq9d5urwzvl8MuWntrygEKwXPv4l18KjXOId64j1rwUM83eEmumR6+hSRukPD4oviib51keCkQtgd+nEU/o7OgdJjwWy7Ao3PiPDTzwmlC8Vu7o456rV9BQFVLO2VywC4JMhwI+IrEE0bjOSDROZSiPj+Rov0H2Q9WCKKZW2eTwgyDciqUnqfCPRhKW+6ixnA6Ev6wWZp4giL/JopHReKteUvj7rBV+JYu/UEtPIi6U82B28g5q0e6k2nIxQBzZJywRpu7EYM7iL41NS4Z8HUJ+n0L4mzQxQDUPrHNBpodfp3JQuk42lh41pacIhEbG3jVGD5CmeVBel7mNz2/MAvRszlz/VsPzkn/7yA8K1d6MS3+rFmD7g1BRb9yWE5UOhsLdRBze/KNx+8q/wOyTcjuGrlsWrdsiWAEVjSLWNxET35EWKVc5Qw49MNfVLL5A2Bc9vOXhEX4PKsrr4AMPQusSqG6hY8c+frPOaLSydIpM+GcCmiB41S2u1IrynCw9BilzbelZeDbbmk/hXbc9w9i63fz636dz+AwjTrEnHOX1xFze7l8p7tj1siPhLwv4md1cxaZO4VndsHdQOV4snuAvq4yp2Tf3DHDpz57nV1evUJtuWSj8IEhvKrqzfySaH+GXfd6VTcoqx6LdCpOlZ7gHdF2J8qxQLD1q0W4ioePzWfzYzT9d/JkwFounzyfg00T6TsMsYwObpB4li79Qhb9rPfzoOPGenX4MXP572011XVcGbZNH1sNX3yky3icvh2ufzNinTsniL/1sREZCj9RluRHh4XfbHdcKZktPA4MEY8mZrmCVsH1YQFX4i/wz48bOI6dz9WzOnZgdTOh4A7Y9JZY1Pxzz79bbZXt9Spkhvz+w7Wkjbau6Te1Q6xY/OQnQRJLRaf8jfgezYfH5QnSonWJEWxcKO4Uf3rrvew8Z8Ai/h0zMOTW92CwVTAZ8GvMnSbaaQBl8fquYInb5pSITyFGHot2a8qDJw+9e2b335fa0neJ7/9jAr642bCI94TFWJuYZhH/ny5nT2yYsmFSTJvzrO1TC/+zmngxf+bqOQS796fNMqa9I39fikvBPrquw3M4RDp55NYc/08MfIcigXkGNNiKI7GgfIxHNch9N09IzEiBIf3kO09Fm/76mae48/JLC321S+Eejce59qZ3ZzVWcPN/Fj23qtRobENYQB/SGI+k0opryABU1zeI1Ahiyjo8sekpPFsgFu2VBn2KhShftFhBlao5Bna1JBY02kZyQQw4/iI65939QqMaaBp94xXl7N4S/skkuT0zFAAAgAElEQVTkkI/1iy6oQ3uLo6QeiJB924svyFqobotpR4sZ1NopYgZvImKkT52VcMJwtyD6Q3vF65KrtSYyLGab9ATsXQ1nf8fdfufdnNvjZEMiLmZKEzExS1uXOfPowQN4hN9DFkxtqGBOSxVbusKcvqQts1FVRYP1jjZwsvTIJCFD4c8hi/+1HUaL+Kc3dbOpc5B5rcK60jMU4TV9HusT05i0+ATq5r4t6/EWttXwV0Rmsrlw948rDXV/2bQ6Vu/qJ6HDxs4hNnYaSRZWRbtgSurJ1wKidI5VPfNOlp76CqFG9+o1gvADhHsYiRrXtMI0SCiTCP9YLJExiHDCwIhxfdPP20UWv1Ms55cfXM39r4iYwEevO0WJc7WEQ32BGR1m/748mAp3WarGDVVF9PC/dg9seEg87uILYM4pGZvI/RDKAn5V4U9aegpR+M2Wnjf1mdy77E7eNzcCPvufjyGpULi6PMvPTFm1aJ4FondGPGabggQIghMoF8lOdoRf06BpjmrreSsSfl2H9Q8Zt1dcm/+xFp4t/iYS2l8S3xvtz4s6ptE++NQqdwLU0nfD4nfB9mfV90ZsTNQuZCsg71xrxA83zROpOPsDPj/8m+iRQyQMAfvu8ei6+EzoOkw7cnzOz8OEgUf4PTjC79N44KMnsLK9j2NmuUzQcID7lJ6gQpL39rsj/LF4glU7+5X77n5uO1+5QDSX6R4aY0tiGWdEvs0r554G1dmTV+wKd0ejcR5eYyieX71gKdt6wlz3u9fTsZYpWHn4wZTUY5GI4grDEuGXCJ+u66qlJ6NoVzx2L7XMpFNM94/2MRo1bD6yBQsE4U+9AkJddj8lnZHQA8IHP+1ooVA1zrEk0U1yLGfYUPg3dQ7y+1eNTPA3dvW5IPzy4Mh5RmCv2b8fqhQ1EpEhUTMxsi+DFKQGUVAEhX/XK7D2T2K5ZYEl4Zf7IZQFVIU/ZekZKahoV30Oo5SxpXwOLF/kuF9Olp5AmbgW4S5BoIY6nFXoi34CF/xQ2LNsaggAQcLShH+TiGJ9q6F7o/H9UNEA047Zv+dTbLxyp4gbldH+omXxvyV8fsO3v+kxePxrwgJ1+OVw7k3O+3asMpazNdwaL1jVZqTQ/hL86ePQtU7M4n/gj/bbejgo4RF+D1lRVxHkFDd2CRdQFP6IWvjp6OF3o/D/7bNEtr/KfyequUs7g7W6sIvc/8pOPnPGAsoC/jSp9mmk03SyYeEkgwCv3zuYTtN5fF1nclZC5/z6rSyjleXLjyLo9/HJ37xGTCL9Th7+FKyy+PuHo7TvG2bJlFr7BB+FxBoefnNBp9lvn3rsD0f+g/raGh6+/nzw+RhdbXSALA+oswJKNKddt91nbhGZ3VXNsPAcUaiGGj2aft6BMrj6UevjJNFso/Df/NgmpVdX96ALz3wOXXZlG1n6vVjVIgh/6lgmwl9XKc/YFOjhVwZyTZabyNcgFPAp2zUVQ+G3sAO5Sf1RGm+5qUupnWpcm/5d2W0n/iBMWuq8jRwZ2nsAFO72bhEWw0XnpT8zBaP9eWN5xvGOiWQHJPauybzvjfvcE34Zmk8MssH474RcOuxOBNROMVLstvwr+Tmb6ryPh4MKB9mn38O4IzoiFJXX74VVv8u6uazwy3aTeEJXfb8hc9HuGLpNJ9Y02l+kcu/LXBJ4ghqG03eHI3EeeG2XEunYWBXCb1VwaoFpDRWiwBTh607Fbf7pdWHnOdf3PLeMfhntjtPgd1dw9iwft77/CIJ+cfy22jIlaUaGE+EfGI1y2k3/4twfPM2tj28y72rARrVW7B7BzI96SuHfSyPto+VpMiDPClRYKPzp49sl9TzxTXjo8/D7q0QjnyQUhT+bzUNCg1S02zscIZ7Q2bB3UCmWhkx/vyVysfRIs0qT6pLXT576t2jQU1QPf1gqxrY5V9XD71cV/iJ4+K1mndzk+suDd1dFu6Xo5Cqr/xM9qWdsSDS8+sO/w8/PyFpf4hqHXQ4ffR7O+R4ceWVxjjlRkIgLtdqMNQ+IothcIdvD9q7Jfg3yJfyd6+Av18H9VyW7/I4T6qZKs4Q6rLp3/B7bw4SAR/g9FIaeTXDHO+GBa1x9edl5+IdMFgC/T6O6LJAmC5FYwrkbbSIhpq+T2KRPZW6LMb1517PbFEIo20SywefTmN+m2noGR6M8tk4kPLwtVQAMsPbPcOsxnBF7gnuvOZYrj5vJbe8/wnZwYc7il/Hkhq50Qe9DazLJZRo2lh6ngl0wXmeA4Ug8TR5HHLL75W67lln8kbAokgSh8pcZsyMZGfwuEfT70tvrOuwbjnDLYxsxj/9cNeUqxNIDWTtl1hez066L2YiMlJ6ayXDVI8Q/9gqnj4nP43A0nn2wbAPVw69TzyBhq+675lOXZgGyevhBTYApVuTjgUT4NQ1WXCM+v3teh79/vjjH9fmgdREcfbXoqFsonrkF7vuQaM4ofd/uF/RuEXUcID4fNcnP5nC3ULDtsOkxuOe98PpvYXTAuL+i3mjWmIjBnlXW+4MYbMizC5OWuT/vob3w8h2w+n7n83SLV38Jr9wFW59S+yZYYfllxvLrvyXjS9TDQQ2P8HsoDOZYxYSz+icT/mGJFKgJPQZBaHWb1DOwM000e/Vqeqnly+cuTg8YNneF+bOkCE+tjMGT34FfXyJ+vLJgocnH//CavWnC+3j9e6BNsheM9sED13LE0x/mK6c2cORM+9oHp267r+0wOuY69iGwKdp1KtgFkbpTbzHgkPdzVvgtrrVCUlsVP75clJwL4Qe1cPe5zT389Y09GdvkrvA7E/6Mol3I2m1UnrkYGI1m1HLkBJuBnIwMwu8PwvRj8LfMYywg3rO6rs7a5AJ5IN7AICvLr+XGre+CX5zrsJfJ0uMmh1+2FjhFPj5zM6x5UCQ6ZSMrsqVn31YhCkxUhKqgrMa45q/eBSt/vX/PyQqbHoE1fxDNGW1StcYNCuE+FJZKTaXeuM9+vzfug40PwwPXit8AGVOlQtZdDh13e7cawkZ1G1S3uj/vcikKeazffju3eOp78OdPwl3nQt8O520XnSvqkEB0pd/9auGP7+GAgUf4PRSGshpB7EAUMmbJZ1Zz+I0fYLN/P4W2GpdZ/F0b0oub9KkEfBrHzm7iPUcaVoFfPmv8QNVVV4kZiQ1/Fz9esn3CAnLh7rqOwbSdB2DpUSfBR56BKx6E+hnGThsfhtuOVVMyTHCy9MhpQz3hiD15PONrcOm9cP4Plallp4Ld9ONXBgkQYzI9jG5/BTpWKwq/2QqkePitFH6HxKCMplsp9G6Bf/4f/P5q8d8CcjzsN/62Ns31pjUYXueiE/5+K8IvE9NMhT/g96Xfv7qeOYhzjUQchnuN27Yefulameot5DjMfLvtygp/KpKzSh8S8Yc2GIvFicbFBQr6tcxkLysoCr+NpWdsEB65Ae67Em45PLvloqLeeN0ScaGsTmQcdRUcerFx+y/XWXvU9ydqS2C9yhfya9O6WH3t1v1FxGaaER2FdX81bi+5UF2vEH4HH//eAvz70qwnowUS/lhEJfmyAGeFUJVI/Eph5W8Ke/xcMbAbXvgpbHlifB/XA+ARfg/FgNzZT24AYgG7HH5zQk8KchZ/hxPh716fXtyUmMKiybVUhPxcfqyR8y4T2bqaavWLOovSIRfuvrC1h2c2GcT2vOVJ1Xfu2+Ajz8ExUvTd2ICwO9mQEzvCH4klWL3bmG6OJ3SlBkFB2xJYcCYccYXiMVcVfmvSVV8R5CTfGzxX/glm3H82PPJfqoffHMsZzGLpcSDUlik9AEOdQml74z7Y+IjlecoK/26JiH/5nMXpZXeE335AYoZi6alzZ+kBozYCCvDxD/cCyVFNRYNtTKWq8KvXSplNc+G7t4Ks8M/UJMLcNMdi6+Q+o7K677JWQ84OtxMN9qwi/Zq0LnIXg3jpb+GTK+FLHVA72d257C9oGpz7fWheIG7HRuDeK1TbSS7Y8bz4Pi6mbWMiddvtfNNYblsqmuE1HSJuR4ZEpK0Zm/8pvpNBkGNzrKtM+Hc6KPyFFOyWS30C8r22KfS3G9GgtVPdFXvLfWdW3y8GDaVC1wbDGvXq3XDjIvj7Z+Gl20v3mB5s4RF+D4VD7uzXu9VxUzsPv52lRy7c7XRU+A3Cv1mfyuEzxJfqvNZqTjokk9g1V4dg6lHGHU5f7qiWnvbekbTaftTMBqZKDbYoq4azvw0f+rthwxjtt1WL7Aj/2j0DGYS6M4deBJDd0gPCc96rG8+NcLdq6bHI4U/BUuEf6jSWTYTf1sMvq1J91jYBmfCn8M7FbZy6wHiMnqGIs1c9OgqRZKioL6D+8JowFouzL2lB8vs0o/lXSon2h0iTTxOUaM58k3pczkRkWHpSiISZE+ymFmE7GI7mp/DLn8tZPlPTLRuEpcGFq4QecEcklYZbh7k77vRjhCDhlOu/vxEdNayQZdXwvrtFF2MQ6UJ/+kR+pP3Bj4qZkBsXKTOgBSGLpW1cISv8bYvFgElW+d+4X90+NgYv/tS4veSizLz+tqXgT37W+7arAoGMHilEIWfCL1t6BgsbkDl12LXDzBONAfbIPjETXQoMdcI974Y7z4KNj8J0KTlp46PZ6w08FB0e4fdQOBpyUPhtcvjtFP5WU1KPLSTCv0ki/AAfOG5WxuZN1WUwTSL8Tn5NRFKMVbTmBcttVMOZxwu/ZArbn7XczI7wr2zPtEykCnjdYlQig04Kfw/SD9BwLyMR+5mBUC4e/mp7hV8h/NVtopESiB8gC7uIVZH1p95xCOVBf7pOI5bQnQu7g+VC6f2P1fDvjzs255FrJlqqy4yi60nL4DOb4MudcJl1ykVxFP7s/n1QZ1nSsy9//Dh8fQp3D/47Z/pfBFQS7ha6riZnqV127fPvzQ30XKF6kohFBAh3CnJmhjwLZ9dw60DEK3fCN2fC3ReKov+WBWo31jcfVLvlusHgXiOKdLhXtRoWAtnSY2e9Gg+MDRmN+jS/MSty6HuMbTb+Q3yfgLBs/vJdsOVxY73s+U8hEILJUgGuna3n4rvE98glv4FZJ+V27v4gBJIikR4vjPjKAls2O08KPh8se59x++WfZ26z983CBiKRMPz6vcJuFBmC+/9N1Dm0LBTrYyOwyTmO2UPx4RF+D4VDUfjdE37V0mOt8E+qdeHh13V0ydKzMTGVw6cb3WLfvrBVVeGBpqpQpl8zyxec7OMHofy+e/he+M4hcMcZmYrSjOOhrA7mnwnNh1ge047wy/79FDqtCL+u2573qOLvtib8tRVBenWZ8HczKvm9MxX+LDn8jpYei067IIh3vWG9slL5m00K/+mL21g6tS5jXVZbT7BCNPua7JyqoRTs1hnvQQIhMZBxGCzIST3F6Z5s7d8HUyxn6tqU16Xva0q2SRvOw8M/HImTKhvxaWZLjz3hl+sFXFt6/AFhv7n6n/Dp9ckZFBN2HaSEf8fzYuZp8z+NqNdlFwtPfwoPXQ+P/k8Ox5QEhmlHicFuMeC2uLrU6FpHeoataa7x/JrmwpQjRF3Z0VcLu0rXBrj9Heprcsy19sq8PPNrR/g1TXyPLDw7t4LdFBSVvwBbTz4KP8DyS43lE69Tf0PiUfjRcfDiz/I7p0RcRI6mZuQ0H1z0U1FTs+h8Y7s3vcZf4w2P8HsoHLKHP6W62MDO0jNgV7Qrp/TYKdzhbrSkkhPWyxitnMzMJsPf6/dpXHHcTGWXpuoy8QVZkRwYjOzLOlhZaCL8J8xrpnJoh1Ak258X6TwyllwIn98qlGBzcVgStoTfrcLf/iL8XxvcuBge+LCyyp2lJ8gwZYzqyfOIjRKXFKfMol3Jwx+3IPzy9Zen/1ELWGvLTSk9StpTJuE39zH4j9PmW67rctN8ywX2yAW7Nk3T7KBk8edr6Zl6BJz/A3jHf8PS99huZmnpscriz6P5lqzUN1aGFIU/VjfLfr98PPwgYiOnHSnqUMwDqr52kbQDYjaodYn748bGRPb55n+632e8oOsiNCAF2fZw5jfUgU0uKr08ozjz+PzPzwxz0fr+inUMVcHhVwhybu4e/L5fwafXwVnfhK61cMdpxnsHDd75v3DWt+yPnRKCKhoMf3yxIQ3KC/Lx50v4m+fBvHeK5YaZxuctNmYUEj9zc9bUPUu8+FMRhpHC2d8VNWYAiyXCv+FhYWfzMG6YwMZGDwcMzB5+XbdVQIN+HwGfRiyhE0voROMJgn6fYumpVYp2DWWqpm8d9E3P/OHrlv37Uzh8RkNGV9r3HTWdmx7ZkCZIrTVl4hynHmlMLe56xVG5XCAV7gJcsHwKvO7whRvI3sm3POgj5PcRiSeIxBKMRuMMR+Js78lMmLAk/MPdEB8Tapuc6oKqwDtZekCjh1qmIpKKQqO9pLQAs8KvWHqiFj8G3ZJXuEmd1bDstJtCgzQgsxg0Lp1Sh6aJt9a5yyazeIpxLZROvOHcbE92WLPbSM+Y1ezQrt4CRbH0NMxyNUWvNFdLXZtKK8Kfu8IvfyanlY9QGxbvySG9nERZM7U2+6k9NVwk9LiBTNZnHu9esY6OwNenCuuELwBf2jux/Px9O2AwGTEbqhEF+CkEyuB998CDHxYD+yUWFpREQnyPmb9vS0X4y+tErGNkCKLDQiiptI8dLhlaF8EFP7ReJ89CvPkng8AGK+Gin6lWSyvMPx0+8ar4PneYySsIxUrqyZfwA1x8J6z7m2kmVhNxpSBSmLY8AfPe4f6Yug6v/MK4ffwn4GhppqptqTjP3i3iPbTlcVhwVm7n7SFvTBiFX9O0aZqm/VzTtN2apo1pmrZN07Tva5rWkH1v5TiNyf22JY+zO3ncLL3aPeSNigZhXQGRTSwXblptrmTxC9JoZ+lpSaqrF/qe4lfR69B/eAzsNE2zTl/BTQvu4drIf3JL7CLFv59CQ1WIz56xgKBf49xlk5nemJwBcJvKgKrwlwV8nL6kTW3ok+sXLiILv7bCeL79I1FWtmfaecCmaNchdUZtvGVftAsohbuhiDFwMA8UshbtHvkhOOz9QnWTBk/xhM5gkghqmoW3O0vh7oymSn511QpuOG8x33nPcmVds6TwdzvVOfTvEs2ChnuzKpOvbTdmWI4wv5+Ge8V09bq/WjYfqlMU/gKbb2WBbOkJWSj8KUtPPh5+mbgfEjDsPNv1NoYj9spn2NREryjY/JixPDcHAhKsEDUiIJop2RSF7zfI6v60o8BnGiDVTYUr/wz/8YawRMjY/Dj85KTMZKvhXqOgVfNnKuCFQNNMKv9+LtzNhrO+BbNPFg3pPvT37GQfxKCmaa492d/2tEieKSTdphiWnkRcfT/LM+1uUFYDy9+nJvsEQkY9BMBrv8rtmHteN7ofByvhlOvV9ZpmsvX8KbfjeygIE0Lq0DRtLvAs0Ar8EVgHHAN8CjhT07QTdF13DkoXx2lKHmc+8E/gt8BC4EPAOZqmHafrurNvw0Pu0DTRsjs2mizgdSZT5SF/mvyNRuPUVQRtc/jLg37qK4NcGhMKnxYbge1Pi6n/FPxBHums483E0QB8aIb1GPHqk+bwweNnEfBL5Hfa0cZy+/OO5714ci1Hzmzgle37uOrE2dRoo8LOA+ALqtGCOaC2IpjuEts/ElUabi2aXMvaPeIHwbL5luKZNxF+h465KdQl1WjZx18e2QeIY2U23sqSw3/CJy0fR1b3a8oC+Mydh+udFX4QFqoT5lklLkmE36nb7vO3wXNJVfC0/4ET/9Nys2g8wapdMuE3vZ+e/C48f6vtcdRuuyWMvMMmlrNICr+Swe8zCP82vY1yh+MNjeVp6QExEBvuFbNWKUtYIq7mds99e27HbJoLg8kI1Z7NjrN4444d0nfOjGPttzP7xF/8GfztM2L5H18Wr0lq5qL9BdLfwVMOE8k/xUTtFGNWtX9X7ik14wl/EN77SzHTY7IY5o2/XCeevy8I1zye3/NffinMPEEMLprnZ9/eCgO7IJ78fqlqEQS+GDj8cuP7bd1fxOfR7SzOKinIYNF51u+9xefDM98Xy+v/KgZOLmbDPRSOCUH4gdsQZP+Tuq7/IHWnpmk3Av8JfA34sM2+Mr6OIPs36rr+aek4nwRuTj7OmUU8bw8pvO9u15sqPn4rhb9MtXtMrg5yzIBh22Hxu5T1w5EY6zoEsdE0WDatDjsoZB9EbJ/mE17N7k2iWYtNvrfPp3HftcfRNTQmrEZy6/WGWZnqHEA8Bqt/D9ufEdnNVz+asZ3Zxy8n9Jy+uC1N+LusClKHpXFwpZnwu7X0QC/Gj0VF1JhhMA8UFA+/FeFHpLuYLVVyJGetVZfdLB5+J7i29Mi5+TX2mexr9wykX7up9RVKUhSQNYtf8fDna+lxCaVoNzWLIxX5Nmqpot3cFX75M9nsGyKODz8JtumTmOEwYzCUr8K/6VH47eUiwWP+mUYK0q5XDdtDzRRh58gFjXNg21NiuXez87bjDTv/fjYsfhc8+hVR7Nu9Hl79hShSBdXOM+O4opymgqP+TZC5umnqDOlERUWDUatVCMLdoqttyraYiOU1qwvAsvcWfj6+IBz/SWGPKRbZBxFxOvVIYXGNR0QYxYprsu8Xj6nBFXISkIwpRwhxrL9dfK63PQnzTivOuXtwxH4n/El1/3RgG3CrafUNwDXAFZqmfVrXddv8Kk3TqoErgDDwP6bVPwSuA87QNG2Op/LvX1gV7top/ABHVHZActZztKKVcpOHf9XO/nSayPzWGiXWMyvK6+CcG0Vc2NQjhG/WAT6fZtQVuPFP+vxCgUvNBHS+maEIyYR/XzjCSknhP31JGzc/JmwjnQNjmWTaydLjMocfVIW/MmYQ/oqQul+2WM7Vu/r5t1+8RENliLuvPobWZKdk20jOFBpMKT2JhIiPc4Fmt0W7Ka80OBL+V7cbz/+ImRZEIRvhryyCpeeu88SPYVWLKN61USezefibyLFot+MN8aO94GwGx4zHfKHtUh4InMOuHRsZ04Mc6aDwh/NV+CsaBNkHNYu/ZQG8507h469qzt1X3TTPWJbz0/c3Rvsl641PjQnOhuoWOOk6eOwr4vbjXxcZ9OV1Jv/+CcU73xTkwsv9ge3PCYW4dbGw68x9W/EfI5EQA6ldr4hZIX8QnrtV+M5TmHSoKB7eX6idDKd/tTTHPvxyI6HotbvdEf4tTxi/c9VtMOdU6+00TQwYn79N3F7/kEf4xwn7nfADqU/rP3RdLYnXdX1Q07RnEAOCY4HHzDtLOBaoSB5n0HSchKZpDyMGD28DPMK/H1FukcVvl8MPcKRmFIJ21i1nhvyDHxtjy7rX8RMnjt/Sv58VR30o931AJfx2NgFNE0Vzbz4obm9/1pHwv9bel7Y7NVWFWDy5lvKgj9FogpFonKGxmPr6OOS156Lw9+g1DFJBTcMkwoMh2/2yefjvfamdzsExOgfHuPnRjXztQvFcsxL+sho46dMij71hZjIdwyXhr5EtPS4Vfofp/Vd2OPj3IauHWSb8jn0BnNDxhpEh7rMfwMpJSWlLT1mNiLWMR6jQIlQwqpBwWyQS8JvLoH8HPHMzC2b9G35OJY6fmvIAZeVl7NCFH97JIjQkqf85KfxKxnu7sVxeKzLTrXLT3UD+bPZMIIV/50ukrTdtS3NXaY/9KLx8p7hewz1CfT75c7BnpbGNk03oQMXOl0QX3Q0PieddCsI/2ge3Obx2U4+C828p/uNOFCx9Nzz0BWHT7VglvPmTlzvvk4hByyKRjHToxdYz3unjv0dk9S8+H2adXNxz92CLiVC0m6oQsWsFmKqKy2Z0K9ZxPJQYlRKJHM1StAuwILo2vbylYqmxYvdr8OYfuezFC3mz7EP8OHhTfoQ/X/S6LNiVVbbtz2SslgnwE+sNT/7hM+rRNC2tkoNFUo+Th1+xe9jn8APcFr+AQ0fvIP6J1/iVfkZ6fQbhl25nWHr+cA0XbryezwZ+Swt93PfyTjqS8ZZZCT+ICMoV14h4xhySVFQPvw3h1/X8FH6repCsCn+BHv54zCD7aI7+WUuFX9NUlV8bVJqp2WJgpyCPAOgs33YH94a+ylS6qC4LKF1znYqA8y7arWoxBjejfcXrxCkr/BPJ0rNDsvPkQ8yD5XDaDcbt538kVOljrhHkbNKh+ydBp9TofNNYbltqv10hqGxUG0qm0LIILvm1sGa25RANe6ChvA4WX2DcdlO8u+BM+OhzcO1TsOJa522nHSkGTPNO8/z744iJQPhThmu7bKrU/dmYXLGOA4Cmaa9Y/SGKgD2YEYvAsz8UBU33Xu64qVW3XSdLz4yw4ZVf418IQ12im+hP34b+l+sAKNNixNE43KZgtySQuxw6JSTIsXjbn81IiJEJcMqvD6SfS4ukYGc03wpLHn7Hol3rj7rfp1FbHgDErMnASFTZL7Pxlo3Cr+uw4WGOCD/FxwJ/wk+cSDzBz57akjyudexqMdAke/jtinaHe4wCt7I620LGzoFRdvUJW0lZwMeiyRbhkzWTSL1eDHVmpHWYazISiRyzypW6jEZHpczSww9pH3+/Xkk1I0ozLFt0rsu46yjfBv5W9gUOHfgXldLn1knhz9vS4/Opg6n+zNmTvNAwy+ji29c+cbK/o8NGx9Vc/Psylr7baBQVT34Hn/kNuPZJ0U261EiUKKfeCSkbFAi/eakg20zqZ8CFP4GPPAMLzyk8rnP7s3D3RXD7afDIDdm33x84XPodX/U7d58bTRNNDYvV2dlDUTERCL+HgwG+APzz/+DlO0R7+BHraEnI9PAnEjpDERtVcLCDmhHxwz+qB3ktMl0otSvvAXS0iOHeavdNZ15LAYkUw73i3DvXZt8WTITfQeFvXQzlyXFmuCvDR2yneB82XezTakf4dd3R0qOovzYKP6iK9L7hiNIQzazw23r4h3vSjcfCehkdCGXxnhe20zM0pir8lcUl/DVlgfR5jUTj1vYVxc7joO5LHY6XTatTnhlEjFcAACAASURBVG8a/qAR9YgOQx3K6qDfl34PJ3TSFi3XcLimZlim9ABc+WeevGQty8duZ50+w52H3+cTxLOsDhrnEkccr04b5ow1n+WDu24giHguTgr/oEL4c8zhr5NsPQM7hW0uXmDhc6BMOq6etTnguOGMr8EX2kV34VyyzmVoGpzxdeP2mj+IzH4Q79NSIBYRncVvWgrfnD6+zbfiMeiSAhxaS0j43/5lePt/wQW3wcdfgeWXONtUcsFIn4ia3fmSEWOZC3Qdfvku+OPHRGpYPPcUrqyYeaKRnjbaJzLzPRzQmAiEP6W820WrpO7PbD1amuMAoOv6kVZ/iMhQD2b4fGrSikyGTSg3pfSEI7H0b0ZlyK8m6UgpFq/rc9k9mBAKwhFXZhw33jQ/M+7RLZ6+Cb49W8xOvP4bd/t88jX46AtwyW+gzkHR8PlMKr9q67FKrZHThmTCr1h6xgYN1TpYmZEu5EbhB9Vz3jU4lr4WIb8Pv+n1VGI5pQGFnEe/VZ9MSgEfjSa44+mt7iw9MnIgEZqm0ZLN1uPWziP7960KdlPIYutRVP5cC3cVm1aL/XaohF8ZnFQ0UFFuWMFcEf55p8FV/4Drt8NHnuX707/PTt0YcCzpe5ybgrcmj+dO4TcnbmWFXB/RvwvuugC+NVvUFgzutd8vGyZq4a4/KOwNhaTIzFihJpc9/MXSkvBASIgi/e2iiFWekSo1ejeLyFYQn+NSWpYq6uHkz8Dh7y++7aS8wMZbQ3sFAX/tV/DsLaVpJufzwYoPw1FXidmi+TYBh4XO8kTCsOZBdSDnoSSYCIQ/dZXtvPWpdp123vxiH8dDvlA67trXRcvJLyPRuKOdJ61WAa8k5hvNp97+X2p7cqBmegGeSjkLeVumz94SwXJoXQgLz87+hWu29UiwIsCHtFani3NVS480rRqqhs9shI88B1c8mHEMtfGWvTJVVxFEI8EKbS3a2j9yiV/0PCizSPZRYjmlglF6DMK/WVcLYn/53Hba9xmdg2vN1ziFrvUineb7h4r/OUCO5rQk/C4LdrP6962OkaVwd1+uPn4leanJfjtMlh7ToE624Lgq2k1B0yBYzhu+hZw99g3+GjcaNz2TEJ7psMMAIlyQwi8R/q3/EjUFkUGxXAgpbpwrZkumH5s1iasg6Hpp1NZsOO1/RKE2iAJL2fZSCijWq52lfSwZip3nAPbQK51282i8VUiH3Vxw3Efh3BtFgp2djem5H8BPThE1JENd1tvY4aXb4dtz4b4r4fXfFn6+HhwxEVJ6UvNEp2ua5pOTejRNqwFOAIYB565IYv0IcIKmaTVyUo+maT5E0o/8eB6KDdnHvs9e4Tfn8Dsl9BAJo/tDaPEILyfm0z0UIRpPEKxqInryFwj+Q3TyS+gaMw5Zlv+5zzgOoUrrohh4bLC42cY5Ev7DpxvkRinalZtv+XyiIY+5KU8SblJ6Uo+vo/Gr0NcJvhTnmCA8ED+RimAmMVIsPTYK/5bEZMqDPqY1VLKpc4ihsRh/f8NQ2C1z+EGonVufFMs52jiasjXfcqHwR2IJVu0y1DZnwi8n9WSJ5sw1qUdWTLMp/FEbSw8oRbb55PAPjcYYoIqPRT/F3LN0dnfs5d4Xkyk9DgOIvFN6QH1d37jPWJ59cmEq65nfhHO+m//+2bD5cTEzuPUpOPXzcOQHS/dYVmicLQol+3cK8i/PtpYCdVNFGguIAe+Uw0r7eCnIBbultPOUGoV22nVrJx0PvH4vdK4R6VBltWJGxC2CVVIUb7vzth4Kxn5X+HVd3wz8A5gFfMy0+itAFXC3nMGvadpCTdOU4lld14eAu5Pb/4/pOB9PHv9hL4O/hJAJv4Olx+zhd0ro4bzvo31hJ1f5v8YLCdFwZ9XOfr7z8DqOf3Q2LyeEMv9Q4miWzba3amRFZaOR+KDH1YY4xcCk5eLLDcQXW9+O9Corwn+YlDbUUitZepxiJ01wk8MPKXKqsU9qvtXAoOUgoczOwy8Tfn0yjZUhPvY2Iw5Rrlu1tfTUTTeKKwf35FRcmVXh9wUF0dd8th7+N/cMpJOHpjdWKDMrGWiYJVI8Zp4IVZkDrvqKApJ6ZEtPTh5+6RpHwtQMbOA43xqWaZvz67SbJvUaiVmn0D39DBLJnwwnhX9ozPg859xp165bda7ddc0oheVBxt7Vosvo4G5B+p2g66Leac2DMNjhvG0uOO1/4eJflJ7sQ6b1arzgKfwC46Xwm/HcrbDtaUOQ6VgtyD6IAvRcezTIQRPyzKaHkmAiKPwAHwWeBW7RNO0dwFpgBSIzfwPwJdP2qapK8xzTF4FTges0TTsMeBFYBFwAdJI5oPBQTCiWHgcPf8hM+B0UfoBAGXvrlxMOiy/Gd//IUMjfzxeZo+2hftYyzq4q0Gc56wTY+4ZY3va0czOQznXJYsDp7siEPyC8tpuFXYbdr6WTDCwVfpnwS+p150C+hN+haDdJTnv0Glo14WFv0gaJWRJ+ycMfs7b0bNGnUF8Z4rxlU7jpkY3s6B2WD2FP+P1BkcWeiobs2wEt7lJ0lWhOq+Zbp3xW/MVjYkBnAdd2HhBT3cd91HZ1XSFZ/A7N1MyQo1EVC9bmx2m69/38JgSPxg/nk5HrnR9z16uiV0TLItFls2V+htWuUrLn2A0gYvFEemZJ01RbkSvIlh4ZhRL+UmCoSzQlOu7jMOsk4/5tTwlSb2eB6G+HJ78jlkPVcP2O4hSDumxUVxQoxdUe4c8ZZSaFP4dGg4A6g24VH1oKDHaI+hAQdtp5p6nRuQvPyX1WvFKyLA57hL/U2O8KP6RV/qOAXyCI/qeBucDNwLG6rruqCkpudxxwCzAveZwVwJ3AkcnH8VAqNLiz9Jhz+AecFP4k2iRbi4zm+jredeYZ3P7BIjSYmXWisZzNx/+3z8Ath8HX2gwbSjYc9zGhwH16g5JxbCbAVSE/h7QaX5yttTYe/nC3+BK2sb8olp6AA+FPklO5226jNqAMzFKQSWWabMajSvLJFn0SjVUhAn4fHzk1syGZraUHMjvuuoSrLH4QAy8bD7ec0JOV8GdBvfQcc+6269BbwQzVwy9dryo1h384EneOB932NDxzMzz44XQHTHnmrbosoKj1dik9svJfHQqoXaHdoGUhfHo9fOBPxn0Ns+wb2+1PPPR50en2p6dAIm7UFA3tVWa8MiDn7087qnjJL+OJLM3nSoKxQeM7QfOrdVcHGvwBMdgDQBd1KrmgT7K/jFcE5sZ/GMuj/bD696L5WQrLL8n9mLJl0VP4S46JovCj63o74Krlqa7rtr8iuq73Ap9K/nkYT9RNF/GciZiwZESGM5JjIDOHX1YS7Qo657VV89i6zvTt4+Y08cETZnHaoraMJJm8MUPy2e9+VagXdq3TU1OqiZj64+cEmxmDypCfgE8jliRky6bVK8+pqaoMnyZsMfuGo0RiCeGlf+pGeF6kpnDGNzIU57GYO0tPasDRK1l6GhkgYpHsE/LLlp4k4e/dKl4HYJfexAjl6UHERUdM5eZHN9IxYAxUHFN6GmYKhRRyik9UsvjD7mdBZLymdNgtkPBXFkD4T/+qaJ4U7oJpxzhuamvpkZSzRsTM2Eg0bm+xkaMBWxeh67pk6YHq8oCpJsBa4c87gz8Ff1D0OXjhx8Z9c/OMrDRj92uig3HPZjjyysKsEOsfEoQHhK98dJ+wd63/q7hv25P2s1PtUjna9AO0E27dfrD0BMrhqkeEfSrcXdri6/FAWa1IOQJh6ym3Cxi0gGQJHTfC37ZUJPZseFhE5sqoaoE5eXQ8Nlt6nGbGPBSMCUP4PRwE8AfEVG+KqPW3Q8uCjM2UWM5owtrSo+vw+NdgyuEw7RiuOWkOg6MxygI+3nf0dBZOsmiIVCiqmqB1ifAkJmLCx29lJYiOGKqW5i/4C1fTNOoqgvSEhRXF3C3Y79Noqi5LR3J2D40xpb5CVYLLM1+P0Rxz+Hskhb9JG6Q/i8KfHlD0qAW7AA3JY5YF/Fx7yhy+8mej2M6Z8M8ylnMg/C3ZLD1ZsFdquFUe9LFwcmEF20q33ZEcz6dxjmsy6orwa0I9HI64JPwtC0V/jOSEQHnQR9DvM6X+WCv8Q4Uk9MhIWd+geHaeJ75pKJKTl+dP+EcH4K/XGbeXXSIG810bDMK/9Sk4+urMfZMN6tLIp8PuRICi8JcgpWfb06InSiQsoofnnyGajE0/RvwdDCivFTUfkFvhbnTU6P2h+RxTx4qKqUeIP10X1qoND4n38sg+IVLkUycTrBC1bdEwJKLidchl4OMhJ3iE30NxUTfdIGp91oQ/M6VHsvSkCEnPZsPnWtFA0+e28vULDy3VWRuYdYJRhLTtaWuyIRPR+hlFaXAjE/5Uwy0ZrTUG4e8cTBJ+2fNokeaSW9FupqVnt4UNyNLDP+sk+OBfeeSpp7l/rSDNDZLCfcnRM/jZk1vY3T/Kwkk1BP0OTsL6WcZyDoS/ucbB0hPuEUSsZoqYQWg+BDNk//6yafXO55jCxkfFTM/ALjjhU0omeH0hOfwuEYsniCdZuU9D7V9RXi8Go3qcGm2EENGkKm+hiuq6moHdspAhaRBenczSVyw9Ngq/OiuQ5+diqEtES4J4DrNPzu84ZjRKtqDeAtydj33FGPBXNovOtgCzZR//09Zq5c6XjDSS8nqYeUL+57E/oRD+Pbl70J2wb7voQhuXPsfVbYLwH0woyzOLX7ZQ1U4tXYM1O2gaTFoq/k7+TOHHq2qGvmQtQLjbI/wlhEf4PRQXh10Gc04VRNimqEq19MSsc/jlae9px4zfNN+sE+HFn4plOx9/j0QW8lEJY2OicU1sTBTyAsfPa2JLd5jm6jKOnZuZvd5aU0aqXC3dfCts35E1Fk+kLUKaplpxzKi3sfRUWCn8AQtLT3ktzDqRJ1fW83BCeGwbpALqipCf315zHP9ct5czlk6yPQ+x4yxjOU8Pf0aSUeeb8KdPiOVpx8DVj2Ts/4pE+I90argl47GvQMcqsbzofJXwm7oXlwK2XXZBkK/KJggLG1wjA/bdcft3GtaCigaobmWw2yjGS30mq1wo/MpnOR9LD8CmR43lshrL2au8INcB9OQZ1tb+ksgOT+GsbxnXvXUJVDTCSK8YjHeuhTZTdGTKBgQi0aTYDZ3GC6FK8V4Z2SeU2XCnsGIVA6/8QiX7YDQYPJhw8mdEXUJ5nahdcQv5e9Eu1epAQlWz8ZzC3ROzXucggUf4PRQXh12WdRNHhT+lCsqxmElSPC6YeYIYrMw8UQxcrFBIJNr250RTqURUIZ83nLeEty1oZdHkWmotlFHL5ltKXrs6SBiNqQW7TsWTqUSZDt0grCt863gjkLmPPHCIxBLoup4+tkxsGypVIjOjqZIPnuAiTUIu2t233bWns74iiN+nEU/oDI7GGIvFDRIsZ/DbTH/nVbBbO9Ug/AO7gCON88k3hz+REClCLlS7MbuEnhSqmtOEXxTu2kRzKnaeRaBpCnFPZelXlmX38PdK9RMN+aZmyVa1o6/K7xhWkInEnpX5+YWf+IaxPP9MVXX2+cQM4dr/b+++49y6yvyPf46k6c32eDzuNU5sEqc4BZKQHgKBFCAJBAhtgaUsu4RefrRtsLDLEsousHQISwIBsiybEDYhPSFsEkKq7cSOnbjbMx5Pb9L5/XGk0b3SlUbSSKOR5vt+vfQalSv5WHekee5zn/Oc/3a3t9/tD/hjUdeKM+HoV+f3b880r73WBautS6a2KJpXdMytHptw+vtcMJxPQFwpjnxpYc/r3ACv+ZE7gz7JpP6K4E1WqVNPSSngl2mXvYY/keFPrrDLsmkM+Jvmw9WPZd/GG/Dnm41oX+OCfXATCKPjEI5QEw5x3vrOjE/zLr61v3fEBStZ+rXnWs4DyZr6+2JH02sbaDVDrAntYd3wI8Bxvm1DIUNtODSxyu7IeGxif3onp3oD3rw0dUBNI4wNunrOoUO+zHkmoZBhXlPtxNmPrv5RV/YEk66yOzIe5fFdyRra1DkUGflW2/UvvlVwSc/+J+Gbp7sAatkL4fXXZ9w02yq7gK+Of268U08gX8DvSvD6Az6T3gP1RNefUMqE+S7PomfthQb8G9/ksuOhEJz54cJeI8ii493Ez/Fh9z7vuM8F6Lna9TBsvc1dNyF46efSDxhWnpkM+J+9yy2GlbDjvmTtdVOHv5VnJfJ2NSuWzTdNHKTSvBDO/XTp11CoNM0dvi5vFa9pvuvh39QByXVXpQT0SZJp5y0VGU7p0tNcH4HB7mQQEorA4o3TPcTsppLhb17gasn7drsVBg9uST/tH2BB6uJbI33J09yRhrRuQt7sb7Ye/ODKQRprwwyO1vOr6Is5KbSFa6Pn0znnmAzbJwP+0dER6qPjUN+aNcOfM2Nc5rCx3Z1pySNzOD9oYjNMusruE7t7J/4/K9obfeVBWfkCfv/ERW/r0Z6hsYkzIdZa/vOPz3H7pv289fRVnH5ESoYukeEaOgQj/Vn/+dFsJT3gy/7Nozdzhn+/v0MP+BfPSmT4wyFDQ02YofjBZFDXn6L8DjTMgVd9o7DnTva6x13pSkbALSKUT8B/95eS149+VfDB/kQdv0mWSSU88cvk9RdcqkA2SGLfAGx8o96j2eDir8Ir/73co5gV9GmSaeft9jGU0oe/tb4GdnrKeRYeG9jas6ymusrh4uNhczwjvOeRnAL+tMW3BlMWZ0rJNOa66FbCnIYaBkejfG78DYzgVt79QIba6bqaEIlpBNHnH4LrLoLmhbxjcANXxzvrFhzsARxRWBvGjKvt+ia5pWf481pwy8s3cdGf4a+vCU8Ex9GYa3EZi8EHf/5nbn1qHwBP7u7l3o+d6y+3ymPRrYwdehIavb34s9Twp3ToAdIPwhNDqksG/AOj42kBf/dAMuCf1zwD69Nf9J5kULn5JjcfJ5ezdPs3wabfJG+/+APB23Wsg9dd57rveA9WrYWnPXNHqm0CajF0P+vpzmTcmR6pfjqomzYzYuEtqSLWwvVXwTdeDF9YCePpk618NfxpK+1G/PX701nOEyQWc7W3CWPDbpIjuNP6c1YEPy+bRccnrye6kUzCl+HvG3adZxIa0yf5egP+wGAwRVs8QB+hlsQC1g0ZDhS8dfw2scBQ/15qx5MZzblN09w5gtTFtzy/d73ZM/z+/vs5lvNA1pIe8Jc13bXlIK/42t0TwT7A7sPDvgAZyC/gH5ukhr91MT01C3g8tpI+GhkcCwj4Azr0gL/bjnfybaO3F3/AAYT3/1NwSU8pdRwFR7wkfsP6+/1n09QBZ3zQdVY58kLXoSSIMXDUhelnpoyB9/wBLvsuHP+Gyu2/H6T7WfjfT/t/jwrx8I+S19e+ZPr6y5fLEzfCVzfCPx8BN3809+fZLAvoiWShQyspLmNcrWsiq9q7My0LXp8S8FvPF1hLfU35Jux6PXYDPPEr2HGv66d97ifd/UOHXA/v7m3uj3ohXTYWewL+3Y/k9BRvDf+BvhEY8PRtDggMfavs5pDhb2tI/yrIVPvv7elvPD34n4734I+EzEQZyHTKmOH3TdoNCviTGf4TCs7wpy8+1NZQw57DboL1X/3nw4Ev8ezBAdq9JUS+VXbTW616ZVxlN+GMD/BvvS/j23e7Va/XjgSU9MTG4WWfcxnsw8+5kjP8NfzeDL+vF39AiZA34J/SWZ5SOvWv4Jl4tv1P18I5n5i8dKypHc77NJz2N66crhB1zbDhcnepFnd/CW77e8C69Ule/s+Fv5Z3xfIT3zLVkc180dFke1jv5z7rc8ZcIq11sUs2vf5nxWuHKlVPAb8U35zlyQCo57m0gL8uEsIYl6gYHY8xFk0Gpy01FnY9lNy4XBn+7m3JU/h3/TMs3ODqblsXwTvvdIMv9A+/N8O/91F3BiGUPSj3duk50D+CHRvERBrcPICAwHAkj0m7AHMa0oOz+kjIdRWqqXcLoMV5zxhEDj0zcX1rPOCf01ibtStQTqyF/v1u4m5A3/wg84MW34pFoW9vcqMWf0lPLGbZ41kF+MjOPBbc8h48BPQiDwp4W+ojLGyt5+n97mzItgMDnLTSMynZW6oVcObGy1vSk6ntqjcjPxA0aTdcE1g60TeS3ocf/L34gyYB+zL8M7GkB1z3rcQCe82dbr2HXOeKNMxxF3GWnATEEzaP/BTO+4w7sCnE234HW293iZa1BXawqSS+Pvw5LrzVu8vNDTm4xT2nGoL9sWF3pnvwoPu+fsEl5R5R1VLAL8XXtgy4313veT7tYWPc5L9EwGC9K3p2bXYdWhKvM12rCKZ68ftdW71E1umX73QZlUR23pjC+4O3dLoOFP173f/14NOwIHvbufqaMC31EfqGxxmLWg6tvoR5n7w8uRJliuHxPGv4U7rqbDRbeOndn4Hep137QU+3mFpPwF9zKLkmwVbr9tXcQjv0JOx7Er59juumsuBoeM99OT2tvTlg8a2BA67NJbge6TX1vuf0DY9P/P4110V8/7dJ1Ta5xZOGe1znpcGDExlySH9PNyxp499ev5EbHnqep3/vDpS2efrdu/HmU8PvyfBnOKjzZuQHgzL8GQR2zkp5vYGA16uIDL8x8JK/c73ej3zZpAfbBRkbdotsbb/b1esHLEBYFVadCe1r3Wrbo33w2M/gpL8o7LVCYVh7vrvMBvUFLLzV81zyerWUPPXvg+9d4K63LFbAX0JVcHgoM84cz2Igh9MDfgiuD2+pr3HZ6pd+Hk58Kxz72lKNcHLhGrjih8mzE+ND8NPX+bPFU7G4gDp+b5Y/MWu2tikwO+kr6Qkq90jRlhKcdtFKa2+8XGfLLb4/NIkMf4RxanuTi8A8a13Ge8qBXstCF+yD+3dzrFn1lvR0JfrBT9KSs2coGaC2NRRwoJKlrOeFq5KZ+zeduoIb3n0qy9sbWd2RzIBuO5DSyWUg++rJXr4a/gwHKr7e+Sk1/NZaYrHg99ZXw++dtFubOcMfjVnfmgNTPvArpbXnw7pXTB7sP3Gjf5J+rn5zNfzwIrjzC3DdG1zmOpr7AVfFMMaVPCb833dVY54rb4Z/JMcMvzeB5v07W8m8iY2BA/r9KSEF/FJ83syDNyPhEZR1bqmPuDKJU98DF18D532qVCPMTeM8eN31UBdf6rtvtwv6x4am/tq+ibu51fEHLr6VQT59+CG9pGeHXcihhYk+29Y3oS5RL77MHCBkXRAzVN/JIC57PuUJuw1zoTYeFI/2uXkTOQgs6YnUuVVwl57s5l6kmPLaAUdeAMde6bq2pBx4vfHUlXzvLSfx6/eezt9deszE+7ZqfrKF6rOpGf7BzKsnp8q60i5AdJw13XdxRfgO/iJ880SGPxqz/PC+7Zzyudu44Jq76EpdmRjoH05vywnQWJc5w98zODrxt7qtoYZIltWdK8JAF9z4bvjaifCLd+RXwrfitOT1rqfhx6+ELx3ln0BeLY670q2dAbDvcf8cLMmsvoCSnmrM8Nc2JX9/YmO5H/xI3lTSI8XnXe47oKQH/L34E1oCVpgtu44j4Yrvw0+ucKUhux+Gf1wIb7vV1bUX2lJs8fGuxGTx8Tmf7k9bfCuLfCftBgW73evfwNy997gbD/8IzvoohGsmssmrTTJ73tO0EuLNbqac4TfG/THb/2T8xXfktPiW94BooqSn82h47Y8zPuewJyNdUIb//M9mfCgcMpy7Ln0xtdUdyYB/R9cg0ZglnFjAKo9Ju6OTteU0hlP/+NecVuOi8HeNXMXmvX187JePxjsTWW4YeTej31kGa09wC0lF3HvYP5K+0i5kz/DP+A49kxkdTLYA7t3jVtVNlBfufzJ5EJqLoEW1Gua4s1fVpmEObLgCHv6hu/3Hb7u2pLmIjsHP3+LmR62/JK3krqoVkuH3njFvq5IMP7jkxuH4wczAQbeCsxRdhadgZEbyZh4OB2f4GwMC/tb6GXr8ecR58LJ/8t/33fNdh5NCrX0pfGQbvPFXOXek8Jb01Dx/Lzz3gOsjHk1fybWQPvxpr7HmgmQby/59sOl/gGQN/2qTzFYeqE3u8znFqN3O4SxRqnmeILN7cJRxz2TwTLwlKAWvDpynlvqaiYOT0WiMnYfiQWV0LFnLa0KTTiSdtIY/FGasLjnB9OntO3jFV++eaEO6mC5WhPazqOchePwXEE6+f5n68Psy/Cldenz1+5US8EfHXdnOdy+Aa18N//NB+PrJ8K/rkgEswBkfSF9VN5u5K9MDsmMuy+81Kom3rOfJ/3IT7ifTvx/u+bJrjvDLd8B3zptd5Rx1rSRaIDPa72//nIkvw19AS+iZylvWM9iVeTuZkhkaYUlFa1uavH54l/ujmpIJz1jSM1Od8g5Xa//Ite723JVTy0YV0F3B24v/rCc+BY/Ee7q/789uPB7DOUzo9Eqt4Qeor6t3HVzu/IK74/++A+svmcgmr/Fk+HdHkvu8KLXbBQT8NeEQcxpr6Bkcw1o4NDjmy/oHmXKGv0Cr5jdNzMPYdnCAFe1NblXpj+9yZT2D3ZP+jkxa0gNE69thxJVERYa7GbfJLPXakGfOQcc6XzDqm7Tr7dKTpQ+/b9GtSgn4u7fBz9+cvP3c/enbLHgBvOCV+b2uMe4MoDcje/SrCxtjJVh0LCw9BXb+0ZVlPPwjOPND/m1GB2HHfbDtdth2hyv/8Trq5dV7QBQkFIK6lmR2f6R38m5RvoC/ijL8qXX8UhLK8Evx1TRAU7xbiY36+6DHBU3aXW4OwleOc+Uzd36x1KPMjzFuXsGJb3ETNc/79LQPIRm8WhrGPXXtAbXe+U7aDWrL2VATdgG/iX9NbL8bvnYCFxy6jnn00mIGsfEM1Q6SE2KL0p2lgIAfUhffyl72BHB40Dtpd/qC1DWesp5tB+J1/Ma4loZzV8KSjZO+xqQr7QIxT2vPecbVoJ+0Yi5ff/0JrDU7kxt2+LtEZZq0m60Pf/dgBZb0dBzpWYjLI1znynLOj/ZNMwAAIABJREFU/SS86b8K6+TjXTG6pnHSTlwVz5vlf/D7yYz1gc1w00fcHIafXAb3fz092K9tnh2991PV5dGpJxb1NwaotpKeBG/jAimqGZxSlYo2ZxkMxE/rHn4+LRsRGPDbna4n9qHtrt3kWR8p/TjzEa6Bi79Stn8+UcPfyAi1NjEptd5Nekoxkm9JT1CGvyYMTUth/cXuND3Aoe28nG/yu9B7+Kuxq/mHC9Zw1dpxHvmfg4ALXItSzlFwwF/LM/Ffu4P9I25RoFDYlSZtuNxl1DymPGl3qMctPtS7G7Bw+fdyepp/4m5/li0z8+7jTO1E61oXQPx4e0nNAP9w4TG8/pTljIzHGDDJ4CE6/ygSvyXWWl/A7+29763nT8vw91dgSQ/ARf8KN77Htbdd+WLXanLZC13iYio2XAF//A50PQOXfac4Y53JXnAp3PJxV5JR3+qC08b58O1zXclKqlANLDsFVp8Dx7wa2pakb1Pt6lshUb4/2cTdvj3JMtLG+cn5JtXAV9KjgL9UFPBLaZz/t+7nnGXQujTt4aBJu0vGPRnHHBdbqmhDPfDUf7suPda6wCOLRA1/u/FkghrnB54Gz7tLT0CwO3FQdtE1bh8+ci0MH2Yw0sbNw6cAMGhrYOE69gzfO/G8cpX0QEAv/ge+5Tr9gAtIUky5pCcUhvu+6q5H6t1+zKEsYfV8b2vOgSxbZpZLSU+kJTnx99PnLqD1Ra7ut6E2zNE1uybWTDrYsJrE9OLhsRjReLvOukjIdzDhbfOZmuHvqtRJu3OWw1t+U/zXrW2Cd93tDiQi2UvLqkJNvVtpt2URLD81+TnYcAU89H13fd5qt/bB6rNhxemFL9JVLS75uvtZ3zp51x1fS84q6dCT4CvpUQ1/qSjgl9JYFdClwiMo69w56gns5h9Z7BHNPKP98Ov3uuu1LfDyf8lat50o6WnH0x4ww+JM+XbpaagJUxsOMRoNKBNpnAcv+5wrb3jiV9z76HZGnnIBXaIXfI+nnKM4k3Y9E9ISvfhzCKQ7PAF/b8+hZLAfqQ+sj/VN2i0k4K9rcaflR3rd2gFDh3LqKOTt1DPRmrNvH4wNuIO4upZJ/7+5lPR4T5W3xjwHitaymmSGf5tZNhHw940k35PUeTVN3oW8Urr0HBqsgEW3ppsxsyPYTzjmsvT7Tn6bq8s+5R2w6qzZVac/maUn5r7tshfCBze7wN/mMMG3kjQqwz8dVMMvZRFU0jNvaHvyxmwI+FuXJL/oRvuge2vWzdsaaqiNhJhnPKd+MwX84/ll+I0xtHoC3rpIiFAo5Q9zbSOc8AaeWvqaibsSBwj+FVaLkOFP9OIP17mMYVBJQADv4lvDhzxnjFoWBQYahz0lPUETl3PiXdArZfGtTJbNayQSf3/3HB5mcHQc/vgt+OoJ8E/L4K5/mfQ1cllp15858/wh7d1Fo3XdgXpsE88MJssDfB166vwBf6Nn0m5qH37fpN1mBfwSt3ADXPkTl9VXsF+4UMi1dV12cu5tTytF2xI3j2jFi2fH2f0yUYZfyqKhNj1AaRvYnrzRfsT0DaZcjHF9+J+51d3e8+esX3bGGDqa62jv8wT8GRZn8pX05DBpF1xZT2Kia7azAt4Sj5HxGOPRGL2eILEo3W6Mgfc96gL/PDoaeSft2h7PZPGAVXahSF16WhfDgU3ueu9uF+BMoiYcYvm8RrbFs/vbDgxwjLc7RQ5nCXIp6cEzadeXOdu/aeLqFruUHV2DE7f7M7TkBGiqy5zh9wX8yvCLSK5Wnw1/pQXbSk0Zfimt0cHApem9mUKAVvqpG4kHJOG66qtRzMS74u7uP026eUdLHe3kkOHPs6QH/CUtQWdgErzlIyNj0bSguWgrrDa1592+1FvDH+pPtg2dWE8gRc9QEUqRCsjwQ0BZj7d2NcN+9cqtpMcT8Htfvy/53jwTW8KObk/APxLckhNSMvxZ+vBXTFtOkXKz1v2dHC1sLo9IrhTwS2mMDcEX18DnFsG/vRBi/kWQUoPQNZ5FnGg/orA2eJVosSfg3/PnSTdf0FI30V4RyBLw59eHH/wTd4MmVU+8niebPBqNcchTFlOUcp4p8Jb01A3tSz7QmiHgH5xiDT+40qyE3t2Zt0vh7dSz7cCAPwOf4cyN18hYDgF/21JYfprrtLT6rOT9x72esUbXOvdJu4LnPBn+TItuQUqG39Olx1qrgF8kX3/4Bvz9fPd38o7PZ992/yY3R2g2LU4mRaWSHimNmoZkC7HoqGvR6VlWPjWDvCbkCZRmUw3fopSAPxbLmtVe0FpHu8mhpGc8/wy/tw99xgCS1Ax/rPgTdqfAW9LTNOJZ7bM1veXf8Fh0IkseCZnA1Z9z4svw5x7wr+5Idih59mC/f8GZpo6AZ/j5a/gzjH3+WviLm9PvD0cwbUu5rW8Jv4iege0ewFqLMSYlw59bDf/gaPK9rIuECn8vRWaTcG3y72S2tpyxGHzrDPe3tLYFPrSlutpyyrRQhl9Kx9t7P6W1YmoNv3fV1lkxYTehbWmy7GKkFw49m3XzjuZ6dtt2nootYzTU6DuI8hopsIY/IVuGP7WGv+gTdhPGhmH3I/Dkr1370hx4A/62cU/GPKCkx1uKNKexBlPohELvwcThnZm3S+HL8E+xpKe2gDKqyDtv5wORTzBEPcNjMfbHV/7tH06+L6kZ/tSFt2w829id0pKz4PdSZDapb0teH8kS8A/sd8E+uLPf1Rjsb7oJ7v93uO3voH//5NtL3hTwS+mktlb0SMvwz9aA3xhYdFzy9p5Hsm6+oLWOL42/hgtHv8An1t0Ma84L3C7fPvzgL2nJdpDgy/CPR31lMUVtx3jgKfiPs+Bnb4TbP5fTUxpqwxOtIxfQnXwgYNJuUSbsgv/3/MCmzNul8NbwP3+gB0bibTNNGOrnTPp8Xw1/jvs41Yr2ZOCQmLibrUtPTTjZlz9mk2PwHfSpnEckN76VdrME/N6/n9U6v+2uL7qF2+7+klt8U4pOAb+Ujnfp78PP+x5KLTP5hH03vO1WuPTfYcWp0zG6mcM3cXeSgL8lmcE+0D+asfynoEm7udbwe15vZDzm779ezGAvqBd/DubH36OFxhPwB2T4vQcqUwr429dATTx4798HfXtzelpHc91EyUztyKHkA425TVb2nsXJVoKVzYr25EHH9i43adBX0lOf/r54e/EnynpUvy9SAG+Gf/hw5u1mQ8DfmKGFsBSNavildHwlPf6AP60LTP0c11942cnTMLAZxjdxN3vA3+EJ+BMlGEH8ffhzC/i9r50tAK5LKekp2aTdRC/+0X53yXFRq/nNdezoGuQ/xi/i7cfWssh0B5Y+FW3uQSgMZ7zfZesWHQ8Nk48RXJvVVR1NPLrzMPN9aytMXr8PMJpLW85JrJiXzPAnJu72jWSetAuujj+xzwdHo7SjgF+kIPWeDH+2kp7ZEPA3afGtUlPAL6Xj/WJKq+H3ByhBmcRZY+nJcNrfuMB/8casmy5oqZ+4fqBvOON2hZT0nLNuAaesnMdz3YNc9aIVGbdLreEv2aRdY9zv0P4n3e2eHTkG/G4M342+nBPWn8BFx5awB3/CmR8u6Gmr57uA37+YWnvmJ3jk1JZzEsu9JT3x1pzePvypk3bB36kn0ZpTAb9IAXIt6fGeIfeeOa8mvhbCCvhLQQG/lE6Wkp7ULh4tAZnEWaN1MVzw9zltOr/nEd4d+TU7Y/N5fHAV49FYWt97a62/pCfH7G9dJMzP3nXqRLeWzNv5+/D7J+0WOdjzBfzPweITJn2Ktxd/V/9oxu2KGvAXaNV816mnljEGInNoGj+cU0tOKE4N/0pPSc+OgJKe1Bp+SO3U4w4suwe16JZI3nLO8Hv+flZtht9zZlMBf0nM4ihLSs6X4X/e1WDHA0lvmUkn3Syq0a9iLiLP3sFHI9cB8O/jl9A1cBWdrfW+bVK7t4RC+XVMmazDSmof/p5S9uHPcpYoE2+nnsTKwUF8PfjLtH5AYuLubbETed+yC/nOGzfCeOYzN16+tpyFlvQETtrN3KUHUlfbjWf4PQdW85oV8IvkpLYZTAhsDMYGIToG4YDvIl9JT5Vm+FXSU3KatCulk6jBBhgbgMHkJEpvDf+HIj/jW3teA19YCU/cOM2DrDCeL/6dtoP9vekBrW9BpgIzv9mk9uEv2aRdKCjg7/AEnNkC/pJl+Ae63MJzOfB26tl2YCDecq8pyzOSilHSs6ClbqLk6/DQGD2Do1m79EBwhr9rQBl+kbwZ4y/rGelL38Za/xnyas3wa9JuySngl9IxJlnW09wJg8k+494a/olFt4YOQcPk7QirmrXBX/oJvoB/PvsD6vgLmbCbj+yTdssf8Lc31/G28E38qObzXLTtH+DZuwO36xkqcob/1s/Cvx4N/7watt+T01O8vfif6x5kLBrLsnWStdY3abeQPvzgzuasmOct6xn0lfS0TtKlJ5Hh9x70qYZfJA/esp7hnvTHB7tc9h/cols5tOytSMrwl5zqKKS03vgrl+mv8ZedJOvK7eztwe+16yH47/dB1zZYdgq8KcOZjkM7Jq7utB2++vmEQibs5sNbPjIyHmVoNPnvFb00psCSng2hbZwZfgz6H4OeSwO38y281VCEIHWkH3rjC2/tfgTWvmTSpzTWRljcWsvu3lHGY5bnuwd9K/Bm/KemWLbltby9kc373EHmjm5/wB/YpceT9R+I73vfwlsq6RHJ3Vtvhki9y/RHAj47Q4fc9+DhXe5ntS5qp0m7JaeAX0qrNb3/OUAoZKiLhGgZP0SbSWQvmgP7pc8KNY2w9zF3vXtr8DbRcejdNXFzl53vC1oTCpmwmw9vmZC3/KOhJlz8MwpBvfgn+YM3v7mWmPH0tc/wO3jYk5VuLUZJTx7tVSeMDnBj9L38OnICP42ey7YDA3kH/IWW8ySs9NbxHxzwdenx1utP3OfN8Af04S/6WR6Rata2NPvj89fC1Y+57/9svforXeqk3Ry+6yU/CvilbBpqw6yJerP7a2fvB3zuKsAAFg7vhPERiNT5t+ndBdZlVPfZOYxQS29gwF/akp5M5SNFn7AL7uzQghe47M+cFW55+dT3JcWC1nqMZ5Vd27KIoN+qopf0+FZM/nNuz3niVyyI7uXtkZs5J/QIvz9wHtA56dN8E3aneBZnuadTz+Z9fYzH3AJntZFQ4GRgXw3/aJSxaGziwNOYIrdmFREnHMm5ZW9Fqm2CdRe5xcga2yEWdf9nKRq9m1I2jTVh1oyonAdwJU9tS93kLBtzS4t3HOXfJmXCLpAhw1/akp5QyFATNoxF/SvfFn3CLrgI8j335/WU5towYU+G/3DNAoKqXv0lPUUI+DvWQbgOoiNuPw50Tf4H+qEfTFz9afRcBuKtMSdTjEW3EryLbz2xO9kaMKgHP/gn8g6OjPu7HTXUEJ5CeZGIzFLGwJU/Kfcoqpom7UppxaLQtRW23g5P/tr3UH1tmNUmJcM/m81bnbzeFVDWk2vAX8RgMJOg150xpRzDPTQYV2LSb+vZO5IezMdi1vfeFaWkJ1wDnUcnb09W1rP3cdj5fwCM2Ai/iJ7B1gO5BfzFLelJZvifPZj894Pq9wEafQtvRbXolshUjA25s7r7noTePeUejVQxBfxSWoNd8LWN8ONXwq/f63uooSasCbte7UckrwfV8ad06IHyZPghOMgsVy/7NPuenLj6vO1gX0Dr0r7hcWz8BEVzXYSaArvcpMmnjv/hH05cvSV2Modo9QXc2Xhbr9ZOMeBfPKeeSEBWPtNieE2ekp7B0XG6BpLvrwJ+kTzd9S/w5aPhG6fCwz9Kf/yxG2DLLbD/KVfHL1IglfRIaTV1uA4E48NuwtFw70QbslXzm1hzUAH/hPY1yetTyfCPeeu7S5PhDwoyZ0yGf/fDE1cfi62G3vTWpSXrwb/IE/DvzhLwjw7Cn6+fuPlzez4AB/pG6BseoyWgHaaXv4Z/avs4Eg6xZG7DxMJbCUE9+MG/SvbASJRDA8n3UgG/SJ7q25LXU1fbtRZ+8/7k/R/e6m9fKZIHBfxSWsa42vSuZ9ztw89DvSt7+Nj5K1i8Jd5+y4T8JS2z0TxPwB+U4T/iPIjUMbB/G1uecZ0dggL+kRJ36YHgDH9JJu0C9O115WA9O6BxHpzxwezb70oG/I/a1XQeTg/4e4aSZSjFDfhznLj75I0wEu+4MW81e8dOgng5z7MHBzh2afZe276SniKcnVjR3hQQ8Ae/L011/gx/tzL8IoXz9eFP6cIz3JMM9iMN/taV1Wjr7bDlt65Lz7pXwDGvLveIqopKeqT02jxLgXuy1EtrBwi1HwEmDHNXTtp9per5Mvzb0h/fcDlcfA39V/yMh6yb0Ht4KP0Ur3/hrVKV9ATU8Jcq2OvbAzd/GO7/uju9PRlPhv/PsTXsC1iczDfRtJgHKgteAKH46/Xs8K0u7eOZrMvGN7N6QbIV57Yc6vh9AX8R9rF34m5CppIeX4Z/NEq3MvwihavLEvB71l2p6h78CXsegQe+CY/f4NamkaJShl9Kz7d4UsoS4X/9IIyPamU9cG0nTch16end6SZz1TSkbeZd/bR3aAxrLcbzh6DUbTkhOMgsWUlPPr34B7tdhyPcRNhNdjkLA2r4S1bSE6mFzhfAnkfdJPT+fe6shNe+J+H5B9z1UA0c/wZW9XUB+wB4am8vr2RJ1n9mxFu2NcUafoAV7ekBf6aSnqaULj3+DP8sP2gXyZc3w59a0rP7T8nrHbOg5LXRu9puV/nGUaUU8EvpzfFk+O/6Ijx7Jyw8FladAStOc0FS6+LyjW+miNS6g6BD2117x8O7YP4RaZvV14SoDYcYjcYYjcYYHovR4Mm6+hbeKlGGP6gXf8km7TbMdYuyjfa7y9Ch9CDau+3Vj7P1z3fy4989wBgR9gXU8Be9B7/X5d+H5gVQ1xL8uGeyLuteAc0dnLA8GcDfsekAH79wfdZ/YqTInZhWeDr1JGTs0uNdeGs0SvegN8M/QyZui1SKOk8N/3BKwL/zweT1padMz3jKyTs/YeBA+cZRpRTwS+m1e9ptDhyATb9xl943uYBfkl7zIxe0ti6BUHAgZ4yhtaGGg/0us9o7PJYS8Hsy/KWq4Z/ODL8x7kBof7z7TqKWP+O2y6jd8Gp+cPNcgMCAv9eX4S/yuL2lWUEWn+AOePc+Cie+BYAz1s6nNhJidDzG5n19PN89yLKAMpuE0SK25YTgDH8uXXoG0mr4leEXyUu2DH+8bS8AS0+envGUU+pqu1JUquGX0jvqQlh/cbK2OWHhseUZz0y26DgX3KYG+5tugv+8Em76CGz5HW0NyaArdeKuP8NfJX34fWVhz2XeLm5BazLwPNA3QjTmXySsZ7BEk3ZzcdyV8K674Z13waqzALd67elrkhPybn1qX9aXKHYN//KgGv5MXXo8ffgHR6J09Xv68M+UTk0ilSJTDf9QDxzc7K6HIv6GANXKOylZJT1Fpwy/lF6kDl57ravVP7gZ9j7mFh1afmq5R1Y59jwCW2521+uaaWs4b+KhtIB/GibtBpX0zC1lOUeeAX9dJMy8plq6B0aJWTjYP0Jna33yJUo1aTcfKX/Az1vfye2b3Wns257az1tPX5Xxqb62nEU4i1NfE2Zhaz17PWdDMpX01IZDREKG8ZhlNBpjf58nw9+sgF8kL/UZSnq8k1Y7j4HazGf8qkZqSU+2+VqSN2X4ZfpEamHhBjj+9fCyz8HCY8o9osrhDXLnLPdlpQ8Ppmb4S9+HPzWrHAmZjJM8iyKXgH+417XCjLr3Y0FLMsufWtbjPUiaU4oM/2C3azF3z5fdJF1rJ33KeesXTFz/w7YueofTW64mFHOl3YTlKWU9mdpyGmN8dfy+lXaV4RfJT02Dy+ADREdgPH4A7avfnwXlPODmaoXj39vjwzCa20KEkhsF/CIzzeigOwOy+ebkfSnt2XwBf0qGf2RaSnr8Xx1zGmt9nYKKzhvwH9gcvM2zd8G3zoTPL4X/+SAL25IZ/dTVdntK1aUn4X8/5VaXvvWzsPU2uP4quO9rEItmfMqitgaOWeJO74/HLHdtyTxpzbuPixXwr0wL+DMfwDUFPNZQE/bNJRGRHBjjsvw1TdCyOBnkzrb6fXDvhbeOX937ikolPSIzSSwKX1jpMj0AH9/pur34MvwraGsYmriZXsPvnbQ7PX34S7boVsLiE5LXd9wLA13QlLIITaL//vgwROrpbEkG/HtTM/yesyJtpRj7ouPhT9e66/d+JTlZffPN8Kb/gnDwv3n++k4e3+VO69/65D4uOja4e5W3pCdo1eNCpHbqyTRpF/ydehLUg1+kQB96On3e1nFXuu51Ox+EpSeVZ1zl0NTu2lKDm7g7d2VZh1NNlOEXmUlCYX82u3ubm/vQtzt+h1u5OFuG31/DX5qMa2qQWbJFtxLmLE9muWLjsPmm9G08K+yyZCOdnom7+7OV9JSiDGXR8cnr3vZyi0/IGOyDC/gTbt98gPFoLHC7YrflhPSJu9kC/qAMvwJ+kQIFdWTbcDlc8lV4z32Td/6qJt5e/OrUU1TK8IvMNO1roOtpd71rq+viYOMBXssiiNTRmi3gL0NJT8kz/OBaWC7cAMdclj7h21r/IjWLN9I5kBxjag1/z1CJu/QsPMatIG09JTzta+HcT2Z92tGLW1nUVs+ew8McHhrjwR2HeNHq9rTtfJN2izQxe2VKhj9bSY8y/CJSEhuugGUvdJn+BdnXI5H8KOAXmWnmebI53Vv9rcri2X9vkNqbraSnRF160kt6piHYO+EqdwnSvQ2Ge9z1hnkwdyWdLfsnHt7rqeEfHotOHBRFQoamUtSd1zRAxzrY/4S7bULwqm8GrpzsZYzhvPULuPYProTrtqf2BQb8xe7DD+mTdoOy+BOP1SrDLyIlcPzryj2CqqWSHpGZpn118nrXtrQOPUD2kp6x0pf0pGaVS1IWkw9fdv8EMMbXhtNb0tObsspuySYbr/CchTj9fTnX4Z7nKeu59an9gduUoqSnraGGF612C5qdsmpe1t+dRpX0iBRPz/Ow/R633krX1py6eonkSxl+kZkmNcPftjR5O6eA31PSU6KVdlP78E9LSU82KfX7AJ1twW05vR16Wku56NbZH3cdl1oXw1kfzflpp65up7E2zOBolGcPDrD1QD9rOpp925SiSw/A995yMg9uP8TJKzOsZBwXdFZEAb9Ige7/OjzwTXf9nE/C/33bzQNadjKc8SH1opeimDEZfmPMacaYm4wx3caYIWPMo8aYq40xeUUsxhib5fKHUo1fpGi8E7S6tkKPvyUn+DvLpLXlnIaFt1Iz/CWftJtquBf+fB0c3uVu7/YE/ItdwN/eVEc45P5QHhocmzjzUfIe/AlN8+FV34DzPuXWoMhRfU2YM9YmJ67d+mT6qrulqOEHt+LvmUd2TNpeU5N2RYrIu/jWs3dC/z54+hZ47AYF+1I0MyLDb4y5FPgFMAxcD3QDFwNfBk4HrsjzJXcAPwi4f2fhoxSZJq1L3eIj0RHXh3jjm2D1Oa60Z9kpQO4Z/pItvFWOGv6Eu/4F7vyie3/O/1s49b1uwa2EeIY/HDJ0NNdNtOQ80DfCsnmNvlV2SzJhtwjOX9/JLU+4QP/Wp/bxzrP8XTpKUdKTj6AM/7T+DohUk7rW5PXtdyevz6Z2nAmHtsNvP+66mzV3wpU/KfeIqkbZA35jTCvwbSAKnG2tfTB+/6eA3wOXG2OutNZel8fLbrfWfrbogxWZDqEQzFsFBza52zWNaROZcq/hL9Wk3TKW9LQuSa5T8PgvYO1LYGzQ3W5ZDC0LJzbtbKufCPj39Q7HA/5kh56yzz3I4Jx1CzDGlfI+tOMQ3QOjvgy6N+AvVh/+fATV8Lc3z8z3UmTGq28Nvn+2LLjlZWPJtstty7NvK3mZCSU9lwMdwHWJYB/AWjsMJHrYvbscAxMpG18d/7a0hxtqwtSE3anekfHYRJA/Ho0xHnMTvoxJr7UvltQgc1oD53UvTy6/vvdR2PckrDoL6tomsvsJnS3JOv5E4H+41KvsFsH85jo2Lp8LQMzC7Zv8k3d9JT1lCPiV4RcpojoF/BO8K+0OZF5tXPJX9gw/cG78528DHrsLGAROM8bUWWtHArYJMscY8xfAQuAw8JC1VvX7Ujna17ie+/PWQG1T2sPGGNoaajjY77LVvUNj1NeEGR73T9gtVQeasmb469tcVn/Tb9zt7m3w5l9DLAYjvb5NvZ169sVbc1ZCwA9w3voFPLTjEAC3bdrHZScmJ2/7J+1Of0lPY0BbznbV8IsUxlvDn1Db7Fr7zja1zcmS1vEhGB0I/Bso+ZsJGf6j4j+3pD5grR0HnsUdmKxOfTyL44DvAv8IfB243xjziDFmwxTHKjI9zv9b+OAmeMtv4KgLAzcJWnxrOsp5wB9kGlOGwPmYy5LXH7/B1b6EQtAwx7fZwrb01pzeGv455e4ulMVLPO0579x8wLdvR6Ol6dKTq6Y6/0FGqBy/AyLVIqikZ8nG4BV4q50xruFBgrL8RTMTAv7Eoe3hDI8n7p+T4fFU/4qb6NsBtAAnAzfgDgJ+b4xZksuLGGMeCroAs/CQW6ZdKP7R/NOP4Qur4FtnwR++6dskqI5/Onrwg7+kp7W+hkiJSocyOvKlUBPP+hzcAvueCNxswSQlPTM54D9iQTMr44thDYxGueWJvROP+TL8JTywyyQ1wz+3sZZQSN1ERApSF5Dhn43lPAnesp5+BfzFYmwRFngwxmwHVuTxlJ9Ya6+KP3cLsBZYa619JuC17wVOA06z1t4/hTHeAFwGXGOtfX8O2z+U4aF1GzdubHzooUwPV7477riDO++8s9zDEOAcey9n8gAAd/FCbjenTzz2u5G17Iq5PxTn1z7NsvBhemL1/GrkGABazTCX1T9eknF1xRr49cjRALSYYS4v0b+Tzavt/7C8hjZLAAAW6ElEQVSBzQDczSn83rw4bZtd0VZ+N3okAAtDvVxYtyXwfZupHhlbxJ/GXY4iMX6A/xw6jhHcwcrr6h+h3oxP67j2RZu4aTS57P0cM8Sr6oMPukQkuyY7wIf4lu++n3IpW8yaDM+oblfaGzkKN3ftei5mk1k76XPOOusszj777BKPrDxOPPFEHn744YettSdO5XWKVcO/FddSM1e7PdcTf20DDnF99/fkO6gU38QF/GfmsnGmNzZ+ILAx6LFqcfbZZ1ftB6fi/PIv4VEX8J95yVWcufFNEw91/fRP7Pqz+yi9/JWX8+qNS3l812F+9bV7AFjc2cFnrv5MSYY1Oh7jgS/+nn29I1x26jo+c8llkz+p2DadDNe57kVn8EfOeN/3YM4y3yZb9vXxuy/fBUDjvEV85kOv4+Gv38Oune5r591vezMnrpg7vePOw97Dw5z2T7cRs7A31sqb/+pDrJzfxPWf/i2MurM5n/z4RwP74pfSU3t6uekryfaBR65cwmfeefm0jkGkaowNwz/6A/7XfehL0NyR4QlV7r+74SEX8L/2wjPhhX9Z5gFVh6L8lbDWnjeFp28GTgKOBHxpc2NMBFgFjAPprUrykzgvpNkfUhl2PQSPXp+8PcffoiyopMe/6FZpS3puufpMntzTyymTrMpaMkekfO08/EM495O+uzpbkjX8e3uHsdZWTEkPuDkI565bwK1PuS491z/4PB992bqUPvzl6NLj/9OhCbsiU1BT77/dumT2BvvgGlYk9O/NvJ3kZSbU8P8+/vNlAY+dCTQC9+XRoSeTF8V/TvXAQWR63PsV/+05/qq54Bp+T5eeEtd2z2ms5bQ186e/fj8hUgcvjHfsNSHYkL4+X2tDZOJ9GByN0j8yTk+FdOlJeO3JyQO9nz+4k+GxKNF469WQoSzvf2PKpN1pX2lZpNp89jD8v33wtv+Fi64p92jKy7OWCn0K+ItlJrTlvAH4AnClMeZrnoW36oF/iG/zDe8TjDGNwHJg0Fr7nOf+Y4GnrLVjKdsfi+vYA3BtSf4XIsXW5i9PodU/39wbrPYOuRru6Zq0O2Oc/xnoOAraj3A/Uxhj6GytZ0eXW5hr7+Fheiss4D/nqA4WtNSxv2+Eg/0j3Pz4nonHytGSE5ThFymJmvqJ1dRntWYF/KVQ9oDfWttrjHkHLvC/wxhzHdANXIJr2XkDcH3K004BbgfuBM723P8B4GJjzN3A88AIrqvOy4AwbkXfn5bsPyNSTJG6lNv+oCq4pMffh7/q1TTASW/NuklnSzLgf2Z/P/HkOM11EWrKdXYiD5FwiCtOWsq/3b4VgB/et2PisXJ06AF39iixEjBo0S0RKaLFx8Ol/+4y/XNXlns0VWNG/LWz1t4InIVbaOsy4K+BMVwAf6XNvZXQjbiDgGOANwN/A5wI3Axcaq39yzxeS6S8jjg/eX1+eva6nH34K0mnpxf/5n19E9crIbuf8NqTkmU9jzyf7F9Qjvp9cGdOvFn+9mYF/CJSJC0L4YQ3uHla7bOzU1EplD3Dn2CtvRd4eY7b3gGkNX2OHzjcWNyRiZTJitPgxe+H5x6Al/5j2sP+kp6gGv5ZkOHPQaenF//T+/onrldSwL+8vZEXHzGfe5456Lu/XCU9AI21YfpHXCmZMvwiIjPbjAn4RSTA+Z/N+FA5F96qJJ2tyQz/pr29E9crKeAHeO3JywIC/vKdxWmui7C/z/VSmKcafhGRGU3n/EUqVFtjQMDvactZrvrumcZb0rM9XssPM78lZ6oLju5kbsqYy7mPL9zgJtat6Whi3cKWso1DRKpYdByiY5NvJ5NShl+kQk3alnM2TNrNgbekJ9HOEiov4K+LhHn1xqV8955nffeVy4cuOIpLj1/CivbG8rVmFZHqdPPH4IlfwsABeM2PYP3F5R5RxdO3tEiFaqoNEw65qSxDY1FGx2OMqKQnjbekx6u1wkp6AK482d+qtbaMgbYxhiM7W8p60CEiVWp8CPr3gY2pNWeRKOAXqVDGmLQsv7r0pMsU8M9pqLy687WdLZy4Yu7EbZVtiUhV8q6227cn83aSM/21EKlg6QG/uvSkaqgN01qfXr1YaSU9Ca87Jdmis6O5LsuWIiIVqrkzeb1vX/nGUUVUwy9SwVJ78Xsn7SrDn9TZWk/vcL/vvkrr0pPwqhOW8OjOHrYe6OedZ60u93BERIpPGf6iU8AvUsFSe/H7SnpUWz1hYVs9T+/3B/xzKjTgD4cMf3fpMeUehohI6bQsTF5XDX9RKAUoUsFU0pObBS3pdfxtFVrSIyJS9bwBf78C/mJQwC9SwdoakifpUiftakJnUmdreq17pZb0iIhUvaYOMPG/YYNdMD5a3vFUAUUEIhUsLcM/rgx/kIVt6Rn+OY2V16VHRGRWCIWhaUHydr8m7k6VAn6RCpYa8I+ohj9QaklPJGRoqtX7IyIyY6mOv6gU8ItUsNZ69eHPRWqGv62hBmNMmUYjIiKT8nbqUR3/lKlLj0gF06Td3KTW8GvCrojIDHfB38NL/s5l+utayj2aiqeAX6SCpdfweybtRpThT5jfXIcxYK27rQm7IiIz3Py15R5BVVFEIFLBWrP14VeGf0JNOMR8z6q0ldqDX0REpBAK+EUqmDdT3TOokp5svGU96tAjIiKziQJ+kQrmrUXvGhiZuF4TNoRDmpTq1enp1KOSHhGRCjA+Aod2wN7Hyj2SiqcafpEK1lwbIWQgZmEsaifuV0vOdJ1tCvhFRCpG3z740pHuemM7fGRbecdT4ZThF6lgoZDx1fEn1KmcJ82pq9snrp+8cl4ZRyIiIpNqmq/VdotIGX6RCtfWUEPP4JjvPvXgT/eKDYtorA1TGwlx+hHtkz9BRETKJ7HabqIHf/8+mLOsvGOqYAr4RSpcUHmKJuymC4UM563vLPcwREQkVy0LkwF/314F/FOgNKBIhQsO+PXRFhGRCteyMHm9b0/5xlEFFBWIVLigGn5N2hURkYrnDfj795VvHFVAAb9IhVNJj4iIVKWWRcnryvBPiQJ+kQqnkh4REalKzZ55V33K8E+FogKRChcU8Kstp4iIVDxl+ItGAb9IhQvM8KuGX0REKp1v0u7e8o2jCijgF6lwKukREZGqlAj469ugvrW8Y6lw6sMvUuE0aVdERKpScyd8Yg/UNpZ7JBVPaUCRCqcMv4iIVCVjFOwXiaICkQrXWq8afhEREclMAb9IhVNJj4iIiGSjGn6RCtdSH8EYsDZ5n0p6RESkKvTvh4NPu7ac84+ERceWe0QVSQG/SIULhQwtdRF6h8cn7lMffhERqQoPfg/u+Ly7fsYHFfAXSGlAkSrQ1ugv61FJj4iIVAWttlsUCvhFqkBqHX99RB9tERGpAlpttygUFYhUgbSAXxl+ERGpBi2eDH+/MvyFUsAvUgUU8IuISFVShr8oFPCLVIH0gF8fbRERqQJNHWDif9MGu2B8tLzjqVCKCkSqQKsy/CIiUo1CYWhakLytsp6CKOAXqQLpk3YV8IuISJVoWZi83re3fOOoYAr4RaqASnpERKRqqY5/yhQViFSB1IBfC2+JiEjVUKeeKdNKuyJVQBl+ERGpWu1roXODC/y9C3FJzhTwi1QBb8BvDNSGFfCLiEiVOO297iIFU1QgUgW8AX99JIwxpoyjERERkZlEAb9IFZjfXEddxH2cF7bVl3k0IiIiMpMo4BepAk11ET57ydGcsnIen7pofbmHIyIiIjOIavhFqsTrTlnO605ZXu5hiIiIyAyjDL+IiIiISBVTwC8iIiIiUsUU8IuIiIiIVDEF/CIiIiIiVUwBv4iIiIhIFVPALyIiIiJSxcoe8Btjaowx7zPGfN8Y84gxZtQYY40xb5/Ca55mjLnJGNNtjBkyxjxqjLnaGBMu5thFRERERGa6mdCHvwm4Jn59H7AXWFboixljLgV+AQwD1wPdwMXAl4HTgSumMlgRERERkUpS9gw/MAi8HFhsrV0IfK/QFzLGtALfBqLA2dbat1lrPwwcD9wPXG6MubIIYxYRERERqQhlD/ittaPW2puttXuK8HKXAx3AddbaBz3/xjDwyfjNdxfh3xERERERqQhlD/iL7Nz4z98GPHYX7mzCacaYuukbkoiIiIhI+cyEGv5iOir+c0vqA9bacWPMs8DRwGrgqWwvZIx5KMND66Y0QhERERGRaVRtGf62+M/DGR5P3D9nGsYiIiIiIlJ2RcnwG2O2AyvyeMpPrLVXFePfLhVr7YlB98cz/xuneTgiIiIiIgUpVknPVlwbzFztLtK/myqRwW/L8Hji/p4S/fsiIiIiIjNKUQJ+a+15xXidItgMnAQcCfhq8I0xEWAVMA5sm/6hiYiIiIhMv2qr4f99/OfLAh47E2gE7rPWjkzfkEREREREyqciA35jTJsxZp0xZlHKQzcAB4ErjTEnebavB/4hfvMb0zRMEREREZGymxFtOY0xHyPZ7vL4+M+3GmNeHL9+j7X2O56nvAr4PvBD4C2JO621vcaYd+AC/zuMMdcB3cAluJadNwDXl+r/ISIiIiIy08yIgB9XgnNWyn2nxS8J3yEH1tobjTFnAf8PuAyoB54BPgB81Vprpz5cEREREZHKMCMCfmvt2Xlu/wPgB1kevxd4+ZQGJSIiIiJSBSqyhl9ERERERHKjgF9EREREpIop4BcRERERqWIK+EVEREREqpgCfhERERGRKqaAX0RERESkiingFxERERGpYgr4RURERESqmAJ+EREREZEqpoBfRERERKSKKeAXEREREaliCvhFRERERKqYsdaWewwVxRjT1dDQMG/9+vXlHoqIiIiIVLGnnnqKoaGhbmtt+1ReRwF/nowxzwKtwPYyD6VU1sV/birrKKQQ2neVTfuvsmn/VS7tu8pW7ftvJdBrrV01lRdRwC8+xpiHAKy1J5Z7LJIf7bvKpv1X2bT/Kpf2XWXT/suNavhFRERERKqYAn4RERERkSqmgF9EREREpIop4BcRERERqWIK+EVEREREqpi69IiIiIiIVDFl+EVEREREqpgCfhERERGRKqaAX0RERESkiingFxERERGpYgr4RURERESqmAJ+EREREZEqpoBfRERERKSKKeAXAIwxS40x3zPG7DbGjBhjthtjrjHGzC332GY7Y0y7MebtxphfGWOeMcYMGWMOG2PuMca8zRgT+Dk2xpxmjLnJGNMdf86jxpirjTHh6f4/iJ8x5ipjjI1f3p5hm4uMMXfE93W/MeYBY8ybp3us4hhjzot/BvfGvyN3G2NuMca8PGBbffZmEGPMK4wxvzPG7Izvj23GmJ8bY07NsL323zQyxlxujPmaMeZuY0xv/Hvx2kmek/c+mu3fqVp4SzDGrAHuAxYA/wVsAk4BzgE2A6dba7vKN8LZzRjzLuAbwB7gduA5oBN4NdAG/AK4wno+zMaYS+P3DwPXA93AxcBRwA3W2ium8/8gScaYZcBjQBhoBt5hrf1OyjbvBb4GdOH23yhwObAU+JK19kPTOuhZzhjzReDDwE7gZuAg0AGcCNxqrf2IZ1t99mYQY8wXgI/gPks34vbdEcAlQAR4k7X2Ws/22n/TzBjzCHAc0I/7jK0DfmKtvSrD9nnvI32nAtZaXWb5BbgFsMBfp9z/r/H7v1nuMc7mC3Au7ssslHL/Qlzwb4HLPPe3AvuBEeAkz/31uAM7C1xZ7v/XbLwABrgV2Ar8c3xfvD1lm5W4P2RdwErP/XOBZ+LPObXc/5fZcgHeEX/PfwDUBjxe47muz94MusS/I6PAXmBBymPnxPfHNu2/su+nc4C18e/Hs+Pv87UZts17H+k71V1U0jPLxbP7FwDbgX9LefgzwADwRmNM0zQPTeKstb+31v63tTaWcv9e4Jvxm2d7Hrocl328zlr7oGf7YeCT8ZvvLt2IJYu/wR3AvRX32QryF0Ad8HVr7fbEndbaQ8Dn4jffVcIxSpwxpg74R9yB9V9aa0dTt7HWjnlu6rM3s6zAlS4/YK3d733AWns70IfbXwnaf2Vgrb3dWvu0jUfhkyhkH+k7FdXwizuyBvhdQEDZB9wLNAIvmu6BSU4Swca4575z4z9/G7D9XcAgcFo8mJFpYoxZD/wT8BVr7V1ZNs22/25O2UZK6yW44OKXQCxeC/5RY8z7MtR/67M3szyNK904xRgz3/uAMeZMoAV3xi1B+2/mK2Qf6TsVBfziat4AtmR4/On4zyOnYSySB2NMBHhT/Kb3iyzjPrXWjgPP4mpXV5d0gDIhvq9+jMsUf2KSzbPtvz24MwNLjTGNRR2kBDk5/nMY+BPwG9xB2zXAfcaYO40x3gyxPnsziLW2G/gobs7Tk8aY/zDGfN4Y8zPgd8D/Au/0PEX7b+YrZB/pOxUF/OImfQIczvB44v450zAWyc8/AccAN1lrb/Hcr30683waOAF4i7V2aJJtc91/bRkel+JZEP/5YVyd7xm4rPCxuIDxTODnnu312ZthrLXX4BocRHDzMT4GXAE8D/wgpdRH+2/mK2Qf6TsVBfwiFckY8zfAB3Edld5Y5uFIFsaYF+Ky+l+y1t5f7vFIXhJ/I8eBS6y191hr+621jwGvwnUUOStTe0cpP2PMR4AbcJOu1wBNuO5K24CfxDswiVQ9Bfwy2ZFt4v6eaRiL5CDeXuwrwJPAOfHT1l7apzNEvJTnR7hTyZ/K8Wm57r9M2SopnsRn5E/eyX4A1tpBXIczcG2MQZ+9GcUYczbwBeDX1toPWGu3WWsHrbUP4w7YdgEfNMYkyj+0/2a+QvaRvlNRwC+uzz5krtFfG/+ZqcZfppEx5mpcL+HHccH+3oDNMu7TeAC6Cpex3FaqccqEZtx+WA8MexbbsrguWADfjt93Tfx2tv23CJeh3BkPOKW0EvsiU4B3KP6zIWV7ffZmhoviP29PfSD++fkjLg46IX639t/MV8g+0ncqCvgl+UV4QeqKrcaYFuB03Kz3P0z3wMTPGPNR4MvAI7hgf3+GTX8f//mygMfOxHVdus9aO1L8UUqKEeC7GS5/im9zT/x2otwn2/67MGUbKa3bcLX7L8iwovUx8Z/Pxn/qszezJDq1dGR4PHF/ot2q9t/MV8g+0ncqaOEtXbTwViVccOUgFngQmDfJtq3AAbR4zIy+AJ8leOGtVWiRmBlzwa0+boH3p9x/ARDDZfnb4vfpszeDLsBr4u/5XmBJymMXxvffENCu/TczLuS28FZe+0jfqe5i4v9pmcXii2/dh+tI8V/AU8ALcT36twCnWWu7yjfC2c0Y82bchLMorpwnqM5wu7X2B57nvBI3UW0YuA639PglxJceB15j9eEvK2PMZ3FlPe+w1n4n5bG/Br7KbF4GfoYwxizFfT8uw2X8/4QLIF5JMrj4hWd7ffZmiPhZmVuA83GLbP0KF/yvx5X7GOBqa+1XPM/R/ptm8ff8lfGbC4GX4kpy7o7fd9D7nVfIPtJ3Ksrw6+IuuD9m3wf24D4IO3C9pueWe2yz/UIyE5ztckfA804HbsJlIIeAx4D3A+Fy/590yZzh9zx+MXAnLlAZAP4PeHO5xz0bL7jSj6/FvxdHgYO44PGUDNvrszdDLkANcDWuLLUXV9+9H7emwgXaf+W/5PA3bnsx9tFs/05Vhl9EREREpIpp0q6IiIiISBVTwC8iIiIiUsUU8IuIiIiIVDEF/CIiIiIiVUwBv4iIiIhIFVPALyIiIiJSxRTwi4iIiIhUMQX8IiIiIiJVTAG/iIiIiEgVU8AvIiIiIlLFFPCLiIiIiFQxBfwiIiIiIlVMAb+IiIiISBVTwC8iIiIiUsUU8IuIiIiIVDEF/CIiIiIiVUwBv4iIiIhIFfv/Df+m30Y/Cb0AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 250, "width": 382 } }, "output_type": "display_data" } ], "source": [ "smooth_change = np.convolve(noisy_signal, mean_diff,\n", " mode='same')\n", "fig, ax = plt.subplots()\n", "ax.plot(noisy_signal, label='signal')\n", "ax.plot(smooth_change, linestyle='dashed', label='change')\n", "ax.margins(0.1)\n", "ax.hlines([-0.5, 0.5], 0, 100, linewidth=0.5, color='gray');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** The Gaussian filter with standard deviation $\\sigma$ is given by:\n", "\n", "$$\n", "k_i = \\frac{1}{\\sqrt{2\\pi}\\sigma}\\exp{\\left(-\\frac{(x_i - x_0)^2}{2 \\sigma^2}\\right)}\n", "$$\n", "\n", "1. Create this filter (for example, with width 9, center 4). (Plot it)\n", "2. Convolve it with the difference filter (with appropriate mode). (Plot the result)\n", "3. Convolve it with the noisy signal. (Plot the result)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 141, "width": 378 } }, "output_type": "display_data" } ], "source": [ "k = 1 / np.sqrt(2 * np.pi) * np.exp(-(np.arange(9) - 4)**2 / 2)\n", "\n", "gaussdiff = np.convolve(k, [1, 0, -1], mode='full')\n", "\n", "smooth_peak = ndi.convolve(noisy_signal, gaussdiff, mode='reflect')\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(6, 2))\n", "ax[0].plot(k)\n", "ax[1].plot(gaussdiff)\n", "ax[2].plot(smooth_peak)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 250, "width": 382 } }, "output_type": "display_data" } ], "source": [ "smooth_signal = ndi.gaussian_filter(noisy_signal, sigma=1)\n", "smoothed_ndi = ndi.convolve(smooth_signal, [1, 0, -1])\n", "plt.plot(smoothed_ndi)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Local filtering of images" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Now let's apply all this knowledge to 2D images instead of a 1D signal. Let's start with an incredibly simple image:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "import numpy as np\n", "\n", "bright_square = np.zeros((7, 7), dtype=float)\n", "bright_square[2:5, 2:5] = 1" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "This gives the values below:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 0. 0. 0. 0. 0. 0.]\n", " [0. 0. 0. 0. 0. 0. 0.]\n", " [0. 0. 1. 1. 1. 0. 0.]\n", " [0. 0. 1. 1. 1. 0. 0.]\n", " [0. 0. 1. 1. 1. 0. 0.]\n", " [0. 0. 0. 0. 0. 0. 0.]\n", " [0. 0. 0. 0. 0. 0. 0.]]\n" ] } ], "source": [ "print(bright_square)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "and looks like a white square centered on a black square:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": "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\n", 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" ] }, "metadata": { "image/png": { "height": 250, "width": 247 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.imshow(bright_square);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### The mean filter" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "For our first example of a filter, consider the following filtering array, which we'll call a \"mean kernel\". For each pixel, a kernel defines which neighboring pixels to consider when filtering, and how much to weight those pixels." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0.11111111 0.11111111 0.11111111]\n", " [0.11111111 0.11111111 0.11111111]\n", " [0.11111111 0.11111111 0.11111111]]\n" ] } ], "source": [ "mean_kernel = np.full((3, 3), 1/9)\n", "\n", "print(mean_kernel)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Now, let's take our mean kernel and apply it to every pixel of the image." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Applying a (linear) filter essentially means:\n", "* Center a kernel on a pixel\n", "* Multiply the pixels *under* that kernel by the values *in* the kernel\n", "* Sum all the those results\n", "* Replace the center pixel with the summed result" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "This process is known as convolution." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's take a look at the numerical result:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0. 0. 0. 0. 0. 0. 0.]\n", " [0. 0. 0. 0. 0. 0. 0.]\n", " [0. 0. 1. 1. 1. 0. 0.]\n", " [0. 0. 1. 1. 1. 0. 0.]\n", " [0. 0. 1. 1. 1. 0. 0.]\n", " [0. 0. 0. 0. 0. 0. 0.]\n", " [0. 0. 0. 0. 0. 0. 0.]]\n", "[[0. 0. 0. 0. 0. 0. 0. ]\n", " [0. 0.11 0.22 0.33 0.22 0.11 0. ]\n", " [0. 0.22 0.44 0.67 0.44 0.22 0. ]\n", " [0. 0.33 0.67 1. 0.67 0.33 0. ]\n", " [0. 0.22 0.44 0.67 0.44 0.22 0. ]\n", " [0. 0.11 0.22 0.33 0.22 0.11 0. ]\n", " [0. 0. 0. 0. 0. 0. 0. ]]\n" ] } ], "source": [ "import scipy.ndimage as ndi\n", "\n", "%precision 2\n", "print(bright_square)\n", "print(ndi.convolve(bright_square, mean_kernel))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "The meaning of \"mean kernel\" should be clear now: Each pixel was replaced with the mean value within the 3x3 neighborhood of that pixel. When the kernel was over `n` bright pixels, the pixel in the kernel's center was changed to n/9 (= n * 0.111). When no bright pixels were under the kernel, the result was 0." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "This filter is a simple smoothing filter and produces two important results:\n", "1. The intensity of the bright pixel decreased.\n", "2. The intensity of the region near the bright pixel increased." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see a convolution in action.\n", "\n", "(Execute the following cell, but don't try to read it; its purpose is to generate an example.)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "#--------------------------------------------------------------------------\n", "# Convolution Demo\n", "#--------------------------------------------------------------------------\n", "from skimage import color\n", "from scipy import ndimage as ndi\n", "from matplotlib import patches\n", "\n", "def mean_filter_demo(image, vmax=1):\n", " mean_factor = 1.0 / 9.0 # This assumes a 3x3 kernel.\n", " iter_kernel_and_subimage = iter_kernel(image)\n", "\n", " image_cache = []\n", "\n", " def mean_filter_step(i_step):\n", " while i_step >= len(image_cache):\n", " filtered = image if i_step == 0 else image_cache[-1][-1][-1]\n", " filtered = filtered.copy()\n", "\n", " (i, j), mask, subimage = next(iter_kernel_and_subimage)\n", " filter_overlay = color.label2rgb(mask, image, bg_label=0,\n", " colors=('cyan', 'red'))\n", " filtered[i, j] = np.sum(mean_factor * subimage)\n", " image_cache.append(((i, j), (filter_overlay, filtered)))\n", "\n", " (i, j), images = image_cache[i_step]\n", " fig, axes = plt.subplots(1, len(images), figsize=(10, 5))\n", " \n", " for ax, imc in zip(axes, images):\n", " ax.imshow(imc, vmax=vmax)\n", " rect = patches.Rectangle([j - 0.5, i - 0.5], 1, 1, color='yellow', fill=False)\n", " ax.add_patch(rect)\n", " \n", " plt.show()\n", " return mean_filter_step\n", "\n", "\n", "def mean_filter_interactive_demo(image):\n", " from ipywidgets import IntSlider, interact\n", " mean_filter_step = mean_filter_demo(image)\n", " step_slider = IntSlider(min=0, max=image.size-1, value=0)\n", " interact(mean_filter_step, i_step=step_slider)\n", "\n", "\n", "def iter_kernel(image, size=1):\n", " \"\"\" Yield position, kernel mask, and image for each pixel in the image.\n", "\n", " The kernel mask has a 2 at the center pixel and 1 around it. The actual\n", " width of the kernel is 2*size + 1.\n", " \"\"\"\n", " width = 2*size + 1\n", " for (i, j), pixel in iter_pixels(image):\n", " mask = np.zeros(image.shape, dtype='int16')\n", " mask[i, j] = 1\n", " mask = ndi.grey_dilation(mask, size=width)\n", " #mask[i, j] = 2\n", " subimage = image[tuple(bounded_slice((i, j), image.shape[:2], size=size))]\n", " yield (i, j), mask, subimage\n", "\n", "\n", "def iter_pixels(image):\n", " \"\"\" Yield pixel position (row, column) and pixel intensity. \"\"\"\n", " height, width = image.shape[:2]\n", " for i in range(height):\n", " for j in range(width):\n", " yield (i, j), image[i, j]\n", "\n", "\n", "def bounded_slice(center, xy_max, size=1, i_min=0):\n", " slices = []\n", " for i, i_max in zip(center, xy_max):\n", " slices.append(slice(max(i - size, i_min), min(i + size + 1, i_max)))\n", " return slices\n", "\n" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1719d933a72a4d4eae524777fbf42aae", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=0, description='i_step', max=48), Output()), _dom_classes=('widget-inter…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean_filter_interactive_demo(bright_square)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Incidentally, the above filtering is the exact same principle behind the *convolutional neural networks*, or CNNs, that you might have heard much about over the past few years. The only difference is that while above, the simple mean kernel is used, in CNNs, the values inside the kernel are *learned* to find a specific feature, or accomplish a specific task. Time permitting, we'll demonstrate this in an exercise at the end of the notebook." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Slight aside:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { "slide_type": "notes" } }, "outputs": [], "source": [ "print(np.sum(mean_kernel))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Note that all the values of the kernel sum to 1. Why might that be important?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Downsampled image" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Let's consider a real image now. It'll be easier to see some of the filtering we're doing if we downsample the image a bit. We can slice into the image using the \"step\" argument to sub-sample it (don't scale images using this method for real work; use `skimage.transform.rescale`):" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 288, "width": 600 } }, "output_type": "display_data" } ], "source": [ "from skimage import data\n", "\n", "image = data.camera()\n", "pixelated = image[::10, ::10]\n", "fig, (ax0, ax1) = plt.subplots(1, 2, figsize=(10, 5))\n", "ax0.imshow(image)\n", "ax1.imshow(pixelated)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Here we use a step of 10, giving us every tenth column and every tenth row of the original image. You can see the highly pixelated result on the right." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are actually going to be using the pattern of plotting multiple images side by side quite often, so we are going to make the following helper function:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "from skimage import img_as_float\n", "\n", "def imshow_all(*images, titles=None):\n", " images = [img_as_float(img) for img in images]\n", "\n", " if titles is None:\n", " titles = [''] * len(images)\n", " vmin = min(map(np.min, images))\n", " vmax = max(map(np.max, images))\n", " ncols = len(images)\n", " height = 5\n", " width = height * len(images)\n", " fig, axes = plt.subplots(nrows=1, ncols=ncols,\n", " figsize=(width, height))\n", " for ax, img, label in zip(axes.ravel(), images, titles):\n", " ax.imshow(img, vmin=vmin, vmax=vmax)\n", " ax.set_title(label)\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Mean filter on a real image" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Now we can apply the filter to this downsampled image:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 300, "width": 593 } }, "output_type": "display_data" } ], "source": [ "filtered = ndi.convolve(pixelated, mean_kernel)\n", "imshow_all(pixelated, filtered, titles=['pixelated', 'mean filtered'])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Comparing the filtered image to the pixelated image, we can see that this filtered result is smoother: Sharp edges (which are just borders between dark and bright pixels) are smoothed because dark pixels reduce the intensity of neighboring pixels and bright pixels do the opposite." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Essential filters" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "If you read through the last section, you're already familiar with the essential concepts of image filtering. But, of course, you don't have to create custom filter kernels for all of your filtering needs. There are many standard filter kernels pre-defined from half a century of image and signal processing." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "### Gaussian filter" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "The classic image filter is the Gaussian filter. This is similar to the mean filter, in that it tends to smooth images. The Gaussian filter, however, doesn't weight all values in the neighborhood equally. Instead, pixels closer to the center are weighted more than those farther away." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "slideshow": { "slide_type": "notes" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 292, "width": 866 } }, "output_type": "display_data" } ], "source": [ "# Rename module so we don't shadow the builtin function\n", "from skimage import filters\n", "\n", "smooth_mean = ndi.convolve(bright_square, mean_kernel)\n", "sigma = 1\n", "smooth = filters.gaussian(bright_square, sigma)\n", "imshow_all(bright_square, smooth_mean, smooth,\n", " titles=['original', 'result of mean filter', 'result of gaussian filter'])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "For the Gaussian filter, `sigma`, the standard deviation, defines the size of the neighborhood.\n", "\n", "For a real image, we get the following:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 286, "width": 593 } }, "output_type": "display_data" } ], "source": [ "from skimage import img_as_float\n", "# The Gaussian filter returns a float image, regardless of input.\n", "# Cast to float so the images have comparable intensity ranges.\n", "pixelated_float = img_as_float(pixelated)\n", "smooth = filters.gaussian(pixelated_float, sigma=1)\n", "imshow_all(pixelated_float, smooth)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "This doesn't look drastically different than the mean filter, but the Gaussian filter is typically preferred because of the distance-dependent weighting, and because it does not have any sharp transitions (consider what happens in the Fourier domain!). For a more detailed image and a larger filter, you can see artifacts in the mean filter since it doesn't take distance into account:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 300, "width": 602 } }, "output_type": "display_data" } ], "source": [ "size = 20\n", "structuring_element = np.ones((3*size, 3*size))\n", "smooth_mean = filters.rank.mean(image, structuring_element)\n", "smooth_gaussian = filters.gaussian(image, size)\n", "titles = ['mean', 'gaussian']\n", "imshow_all(smooth_mean, smooth_gaussian, titles=titles)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "(Above, we've tweaked the size of the structuring element used for the mean filter and the standard deviation of the Gaussian filter to produce an approximately equal amount of smoothing in the two results.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Incidentally, for reference, let's have a look at what the Gaussian filter actually looks like. Technically, the value of the kernel at a pixel that is $r$ rows and $c$ cols from the center is:\n", "\n", "$$\n", "k_{r, c} = \\frac{1}{2\\pi \\sigma^2} \\exp{\\left(-\\frac{r^2 + c^2}{2\\sigma^2}\\right)}\n", "$$\n", "\n", "Practically speaking, this value is pretty close to zero for values more than $4\\sigma$ away from the center, so practical Gaussian filters are truncated at about $4\\sigma$:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "sidelen = 45\n", "sigma = (sidelen - 1) // 2 // 4\n", "spot = np.zeros((sidelen, sidelen), dtype=float)\n", "spot[sidelen // 2, sidelen // 2] = 1\n", "kernel = filters.gaussian(spot, sigma=sigma)\n", "\n", "imshow_all(spot, kernel / np.max(kernel))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise** (Chapter 0 reminder!) Plot the profile of the gaussian kernel at its midpoint, i.e. the values under the line shown here:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.imshow(kernel, cmap='inferno')\n", "ax.vlines(22, -100, 100, color='C9')\n", "ax.set_ylim((sidelen - 1, 0))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Basic edge filtering" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "For images, edges are boundaries between light and dark values. The detection of edges can be useful on its own, or it can be used as preliminary step in other algorithms (which we'll see later)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Difference filters in 2D" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "For images, you can think of an edge as points where the gradient is large in one direction. We can approximate gradients with difference filters." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 250, "width": 253 } }, "output_type": "display_data" } ], "source": [ "vertical_kernel = np.array([\n", " [1, 1, 1],\n", " [0, 0, 0],\n", " [-1, -1, -1]\n", "])\n", "\n", "gradient_vertical = ndi.convolve(pixelated.astype(float),\n", " vertical_kernel)\n", "fig, ax = plt.subplots()\n", "ax.imshow(gradient_vertical);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "## Exercise:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Add a horizontal kernel to the above example to also compute the horizontal gradient, $g_y$\n", "- Compute the magnitude of the image gradient at each point: $\\left|g\\right| = \\sqrt{g_x^2 + g_y^2}$" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 1 0 -1]\n", " [ 1 0 -1]\n", " [ 1 0 -1]]\n" ] } ], "source": [ "vertical_kernel = np.array([\n", " [1, 1, 1],\n", " [0, 0, 0],\n", " [-1, -1, -1]\n", "])\n", "\n", "horizontal_kernel = vertical_kernel.T\n", "print(horizontal_kernel)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 250, "width": 253 } }, "output_type": "display_data" } ], "source": [ "gradient_horizontal = ndi.convolve(pixelated.astype(float),\n", " horizontal_kernel)\n", "fig, ax = plt.subplots()\n", "ax.imshow(gradient_horizontal);" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 250, "width": 253 } }, "output_type": "display_data" } ], "source": [ "gradient = np.sqrt(gradient_horizontal**2 + gradient_vertical**2)\n", "plt.imshow(gradient)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Sobel edge filter" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "The Sobel filter, the most commonly used edge filter, should look pretty similar to what you developed above. Take a look at the vertical and horizontal components of the Sobel kernel to see how they differ from your earlier implementation:" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* http://scikit-image.org/docs/dev/api/skimage.filters.html#skimage.filters.sobel_v\n", "* http://scikit-image.org/docs/dev/api/skimage.filters.html#skimage.filters.sobel_h" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "imshow_all(bright_square, filters.sobel(bright_square))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Notice that the size of the output matches the input, and the edges aren't preferentially shifted to a corner of the image. Furthermore, the weights used in the Sobel filter produce diagonal edges with reponses that are comparable to horizontal or vertical edges.\n", "\n", "Like any derivative, noise can have a strong impact on the result:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "pixelated_gradient = filters.sobel(pixelated)\n", "imshow_all(pixelated, pixelated_gradient)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Smoothing is often used as a preprocessing step in preparation for feature detection and image-enhancement operations because sharp features can distort results." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "gradient = filters.sobel(smooth)\n", "titles = ['gradient before smoothing', 'gradient after smoothing']\n", "# Scale smoothed gradient up so they're of comparable brightness.\n", "imshow_all(pixelated_gradient, gradient*1.8, titles=titles)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Notice how the edges look more continuous in the smoothed image." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise: the simplest neural network.** Let's pretent we have an image and a \"ground truth\" image of what we want to detect:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "target = (filters.sobel_h(image) > 0.07)\n", "imshow_all(image, target, titles=['source', 'target'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can we use machine learning to find a 3x3 convolutional filter that recovers this target?\n", "\n", "- use `skimage.util.view_as_windows` and `np.reshape` to view the image as a set of (approximately) `npixels` 3x3 patches. (Hint: why is it only approximate? Think of `mode=valid` convolutions.)\n", "- use `np.reshape` again to see it as `npixels` \"linear\" patches of 9 pixels.\n", "- Now you have an `(npixels, 9)` \"feature\" matrix, `X`.\n", "- Use slicing and `np.ravel` to get an `npixels`-length array of target values.\n", "- Use `sklearn.linear_model.LogisticRegression` to learn the relationship between our pixel neighborhoods (of size 9) and the target.\n", "- Look at your `model.coef_`. How do they compare to the Sobel coefficients?" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Denoising filters" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "At this point, we make a distinction. The earlier filters were implemented as a *linear dot-product* of values in the filter kernel and values in the image. The following kernels implement an *arbitrary* function of the local image neighborhood. Denoising filters in particular are filters that preserve the sharpness of edges in the image.\n", "\n", "As you can see from our earlier examples, mean and Gaussian filters smooth an image rather uniformly, including the edges of objects in an image. When denoising, however, you typically want to preserve features and just remove noise. The distinction between noise and features can, of course, be highly situation-dependent and subjective." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "### Median Filter" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "The median filter is the classic edge-preserving filter. As the name implies, this filter takes a set of pixels (i.e. the pixels within a kernel or \"structuring element\") and returns the median value within that neighborhood. Because regions near a sharp edge will have many dark values and many light values (but few values in between) the median at an edge will most likely be either light or dark, rather than some value in between. In that way, we don't end up with edges that are smoothed." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "from skimage.morphology import disk\n", "neighborhood = disk(radius=1) # \"selem\" is often the name used for \"structuring element\"\n", "median = filters.rank.median(pixelated, neighborhood)\n", "titles = ['image', 'gaussian', 'median']\n", "imshow_all(pixelated, smooth, median, titles=titles)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "This difference is more noticeable with a more detailed image." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "neighborhood = disk(10)\n", "coins = data.coins()\n", "mean_coin = filters.rank.mean(coins, neighborhood)\n", "median_coin = filters.rank.median(coins, neighborhood)\n", "titles = ['image', 'mean', 'median']\n", "imshow_all(coins, mean_coin, median_coin, titles=titles)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "Notice how the edges of coins are preserved after using the median filter." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Further reading" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "notes" } }, "source": [ "`scikit-image` also provides more sophisticated denoising filters:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "from skimage.restoration import denoise_tv_bregman\n", "denoised = denoise_tv_bregman(image, 4)\n", "d = disk(4)\n", "median = filters.rank.median(image, d)\n", "titles = ['image', 'median', 'denoised']\n", "imshow_all(image, median, denoised, titles=titles)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* [Denoising examples](http://scikit-image.org/docs/dev/auto_examples/plot_denoise.html)\n", "* [Rank filters example](http://scikit-image.org/docs/dev/auto_examples/applications/plot_rank_filters.html)\n", "* [Restoration API](http://scikit-image.org/docs/stable/api/skimage.restoration.html)\n", "\n", "Take a look at this [neat feature](https://github.com/scikit-image/scikit-image/pull/2647) merged last year:\n", "\n", "![cycle spinning](../images/cycle_spin.png)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 1 }