Log transforming for resolving non-negative selection

Why log-transforming won't resolve non-negative selection.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "simulate = function(n=400, alpha=0.05, limiting_mean=0, threshold=0., lower_bound=0, test_val=1) {\n",
    "    \n",
    "    while (TRUE){\n",
    "        mu.hat = mean(rnorm(n) + limiting_mean / sqrt(n))\n",
    "        if (mu.hat > threshold / sqrt(n)) {\n",
    "            delta_method_variance = 1 / (n * mu.hat^2)\n",
    "            lower = exp(log(mu.hat) - qnorm(1 - alpha / 2) * sqrt(delta_method_variance))\n",
    "            upper = exp(log(mu.hat) + qnorm(1 - alpha / 2) * sqrt(delta_method_variance))\n",
    "            if (lower < lower_bound / sqrt(n)) {\n",
    "                lower = 0\n",
    "            } \n",
    "            coverage = (lower < limiting_mean / sqrt(n)) * (upper > limiting_mean / sqrt(n))\n",
    "            test = (lower > test_val / sqrt(n)) + (upper < test_val / sqrt(n))\n",
    "            break\n",
    "        }\n",
    "    }\n",
    "    return(list(coverage=coverage, test=test))\n",
    "}\n",
    "\n",
    "B = 1000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Coverage of intervals when true parameter is 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0"
      ],
      "text/latex": [
       "0"
      ],
      "text/markdown": [
       "0"
      ],
      "text/plain": [
       "[1] 0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coverage_results = rep(NA, B)\n",
    "for (b in 1:B) {\n",
    "    coverage_results[b] = simulate(limiting_mean=0.0)$cover\n",
    "}\n",
    "mean(coverage_results)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  Coverage of intervals when true (limiting parameter) is 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.887"
      ],
      "text/latex": [
       "0.887"
      ],
      "text/markdown": [
       "0.887"
      ],
      "text/plain": [
       "[1] 0.887"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coverage_results = rep(NA, B)\n",
    "for (b in 1:B) {\n",
    "    coverage_results[b] = simulate(limiting_mean=1)$cover\n",
    "}\n",
    "mean(coverage_results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OUO5VHlIuVh5SvKO0rwc31CmUQTrtudym/DwsSr141Ufq9cqbizkyz2c9nlvZf3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\niggggAACCCCAAAL5BOg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AIIIIAAAhEK5OkgTav6T6/c2+Y83tC6fzW2a7MZqwoU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\nSUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "truth = seq(0, 5, length=201)\n",
    "coverage_truth = c()\n",
    "for (i in 1:length(truth)) {\n",
    "    coverage_results = rep(NA, B)\n",
    "    for (b in 1:B) {\n",
    "        coverage_results[b] = simulate(limiting_mean=truth[i], lower_bound=1)$coverage\n",
    "    }\n",
    "    coverage_truth = c(coverage_truth, mean(coverage_results))\n",
    "    \n",
    "}\n",
    "plot(truth, coverage_truth, type='l')\n",
    "abline(h=0.95, lty=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Power and size of test of $H_0: \\mu=1/\\sqrt{n}$\n",
    "\n",
    "We see that we can't use these intervals to test this null hypothesis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Gp25bryc3hS3+P5/eTqpH75Xv9e3Czp\nbXWxo4qpxyRvSOoX7UclD05OST6QzOKCSF0UqH/L1szMGoGJCCiQJsJoI6sI1F/aFY0AAQIE\nCBCYrMDts7kqYqpIqMnAvplUsfLMpAqnYW3XvPGppK4W1YzLVSz1t+2y4AVJzbxcV4Wen2xM\nvp5cntQ+a2bmjyUHJ912yzyp5RuTlY4hb6+7KZDWTWgD/QIKpH4Rr6ch8MZstKIRIECAAIG2\nCmyRju824c7vke2dnrwrqe/e7BYjf5jnFyVVuPTvs64EPSn5aXJMcvNktbZjVvinpIbbvSV5\nVvKg5CbJsFZXsapg+4thK0xouQJpQpA2878CCqT/tfBsegIbs+mKRoAAAQIE2irwznS8rsTc\neUIAVbScmHwyqSKhv+2dBV9Jrkw+nDw6eVjy7aQKl+cl102m2fbNxmsY3jRbowqkaZ+QaZ4I\n2yZAgAABAgQIECAwqkANd3tIclTy0eReyQ+SatdP/k+yfb1Iq2FrH0mOrxc97U55/ltJ9yrR\no/K8Cp0qempIXX+re4junmxIavs1S/JWyeuT/5fUFaRptxqKp40h0PQCqa7M1LjNcdsx+cAX\nxv2Q9QkQIECAAAECBBZC4LY5irpS9OPO0dw3j69IHpe8K3lf8vFkQ1L37bwoqckQfphUqyLm\n5clbkr9KqiD6m+QPk7q/qDszXG3/CcnFybBWxdanO/njPFYR9pNEIzAXgaqY6w/luHnRjI/W\nELsZg7d0dxvT74pGgAABAgSaLLBPOndJclVSRdCTk7OSf0y6bes8OSb5RXJ+8pxky6S33Scv\nvpxUMVSp57VM+3WB62VR/Xv7gF9/a/mWNP0K0kE5Je/unKz6TcGoN6ifuHyn0hETIECAAAEC\nBFovcIMI1L/9Ppi8Jqlhba9MaqhcDbHrtp/nSQ23e2xSV4l+lvS3z2TB/snvdt6o7VYRoBFY\neoGareSLyeVJ3aS2iM0VpEU8K807pjelSxWNAAECBAg0QaD+jVfFSxVF1WoY3AeSmgCh7inq\nts3zpOkXBbp9nddjo64gzQtx1vu9fXZYBdLnZr3jEfenQBoRymrrErhfPn3fdW3BhwkQIECA\nwGII1DTZ70nqis5lyX8lb0jqvqNbJdpsBRRIs/We2N6ekS3V5dU7TmyLk9uQAmlylrZEgAAB\nAgQINF/g8HTxnKT+XVdD5d6e1L1Ev5NosxdQIM3evPF7VCA1/hTrIAECBAgQIDAhgZqNrmaN\nq+mztcUQaFSBZDzmYvyhchQECBAgQIAAgSYK1D+ca+hb3QdeI3mOS2ryg5oRbtxW9xL9bfIn\nyW8na9lGPqYRWFngOiu/7V0CBAgQIECAAAECAwX2y9Ijkr0GvrvJJttm+YeTByRvTWra7cck\nX0jen9w2GdRq0oX6QtWXJ911ah/HJPU9RAcnNX23RoBAgwUMsWvwydU1AgQIECCwhAKPyzF3\ni5NBh18T/1yY/LDzWIVLb9spL76W1Fen7NH7Rp7fKflYcmXy70lNpd1t98qTU5MTkmOTmoSh\ntlP7qs/snGiLJ9CoIXaLx9vOI1IgtfO8z7rXh2WHFY0AAQIECKwkUNNn1z0+Rw9Z6feyvGYH\nrp8pNRrpWckVyTuSf01q1uCLkhoCt0MyrP1m3jgyuTqpQupNSRVN/5ZsnVSrmYjrStKfJzWN\nt7aYAgqkxTwvS31UCqSlPn1Lc/Abc6QVjQABAgQIrCRQhUsVPJX+WeEek2VVxFRR1Nvulhef\nTd6TvDh5eLJVMkq7WVZ6XlKF1SNH+YB1Fk5AgbRwp2T5D0iBtPzncBl6sDEHWdEIECBAgMBK\nAv+QNz+V/GPy3eS6SbU7JT9P/rJeaAR6BBpVIJmkoefMekqAAAECBAgQILDJg2NQkyv8TXKT\npH6Re8Pk3cn7klclGoHGCnR/I9DYDuoYAQIECBAgQIDAyAI1W9ytkiqQfpbUdw69KHlYUleP\nnpRoBBot4ApSo0+vzhEgQIAAAQIExhKoq0enJjWLXLVXJ3UvUs0097vJJYlGoNECriA1+vTq\nHAECBAgQIEBgLIHu8Lruhy7Lk0clNYPcSd2FHgk0WUCB1OSzq28Eri3Q/W3gtZd6RYAAAQIE\nrhGoqbU3JK+55uX//PeL//PMEwIECMxIwCx2M4K2GwIECBAg0EKBZ6TPNRtdN28dYnBwll+a\njDo995DNWNxCgUbNYucKUgv/BOsyAQIECBAg0BiBKmaqqBnW6n7zKpA+lHw1qS+BrS94fWdS\nM9L1thped1Sy0vZ61/ecAAECUxNwBWlqtDZMgAABAgQaK3Dv9KwmTbj9Cj3ckPfqi1137Fmn\nJl6oYde9vyjfLK9PTf400QiMK9CoK0jjdt760xFQIE3H1VYJECBAgECTBd6Uzl2VHJtsPqSj\nr8vyj/W9d+O8Pj95Ss/yN+T5OcmuPcs8JTCqgAJpVCnrjSygQBqZyooECBAgQIBABGpChQuT\nuuJzdlJf6trf6grRT5Mn9L+R189JfpJcP3l5cnGyf6IRWIuAAmktaj6zooACaUUeb05I4JBs\np6IRIECAwPIL/EG6UFeBtkzqS1xrGF1/gfNbWXZ5coOkv9XnTku+nNT3HD0o0QisVUCBtFY5\nnxsqoEAaSuONCQpszLYqGgECBAgsv0ANm6thcd22MU9OTOqKULdtzJP+iRi679XjY5Ork9+v\nFxqBdQgokNaB56ODBRRIg10snazAxmyuohEgQIDAcgvsksOve48O7OnG9nle03h/JakJGWq2\nuguSRycrtb1WetN7BEYUaFSBVFM/agQIECBAgAABAssjUMPranjcZ3sOuYqhmtWu2ueSpyab\nJx9IVmo/WOlN7xFoo4ACqY1nXZ8JECBAgACBZRaooXFHJL/s60RNyHDfpIqnf0g+mNTkCxoB\nAmMI9M5/P8bHrEqAAAECBAgQIDADgfoi2Lck+ybHJVX83DF5RDKoVUH0kOSVyTsHrWAZAQIr\nCyiQVvbxLgECBAgQIEBgXgI3zI5riNxuyWHJ7ZL9kv9MTkqGtZqV7i+GvWk5AQIrCyiQVvbx\nLoEmCdQPTI0AAQIElkOgiqKaqa5mmbtncmaiESAwAwEF0gyQ7YLAggg8d0GOw2EQIECAwMoC\n9e+zTyTnJA9N6vuONAIEZiRgkoYZQdsNgQUQODfHUNEIECBAYPICNWPc55L7TGDTT842airv\n+gJYxdEEQG2CAIHlE/A9SMt3zhwxAQIECBDoFTggL2pWuQuSfXvfWOF5FUGHJ9v1rLNtnp+V\nPKtnmacEFl3A9yAt+hlyfAQIECBAgACBGQvUdxB9O3l/8pFk72S19kdZ4YlJfWbLzsrPyeNl\nyT91XnsgQIBAKwVcQWrladdpAgQIEGiQQM029y9J3T/0oeTk5GVJLa+puV+V9LfvZsFrk3r/\nvcnNkkuSP0w0Assk0KgrSMsE3+RjVSA1+ewuTt/2yqFUNAIECBCYrMCm2Vzd4/n7nc1unce6\nKvTp5NVJfSfR5UkNqeu2/fOkZqjbI7lNUl/yenbytaS2pxFYJgEF0jKdrSU5VgXSkpyoJT/M\nN+b4KxoBAgQIjCdwcFavDGv1xa11/1FNzT2oVcHzneQVPW++Js+P6nl9tzyvImtDzzJPCSyL\ngAJpWc7UEh2nAmmJTtYSH+rGHHtFI0CAAIHxBOqeoq+u8JGn5b2TV3i/3qr7jc5LahKGzZOa\nwruW9TZXjno1PF8mgUYVSNdZJnnHSoAAAQIECBCYg0ANgdsv2XnIvg/M8qOHvNdd/JY8uTSp\nX4o+JKlheP+V9La6CqURIDBnAQXSnE+A3RMgQIAAAQILLbBVju5mnSM8aMiR1gx2nx3yXnfx\nFXlSM9M9PamZ62pShgsTjQCBBRNQIC3YCXE4BAgQIECAwEIJ3CpHU/9e+mjy4AFHtmeW7Zqs\nViDVR1+X3CCp+5nenGgECCyggAJpAU+KQyJAgAABAgQWRuC2OZKfJVXQPDCpabx7W109Oiv5\nXu/CIc/Pz/I3JGcmnxiyjsUECMxZQIE05xNg9wRmKFBj241vnyG4XREg0AiBuv/ohORjyfWT\neya9rQqkz/UuWOX5X+f930iuWmU9bxMgMCcBBdKc4O2WwBwEjsg+6zegGgECBAiMLlAFUn2h\na81A98Wkf5hdFUijDK/Lar9qP89/V5vxrrOqBwIE5iGgQJqHun0SmI/Akdntp+eza3slQIDA\n0gp0C6TqwIeT3gKpvveo7lE6OtEIEGiIgAKpISdSNwgQIECAAIGJC9T3ElUBVFeQqlWBVF8K\nu3tSEzPUxA3fSI5PNAIEGiKgQGrIidQNAgQIECBAYOICe2SLNc13t0CqYujHyZ8nxyQ16cJ9\nE/cTBUEj0BQBBVJTzqR+ECBAgAABApMWqOF1lyen9Gy4riI9IzkueWBSRZJGgECDBPqnqmxQ\n13SFAAECBAgQILAugZriu6bvvrpnK6/L858kL05cOQqCRqBpAgqkpp1R/SEwXOCwzlvPHL6K\ndwgQIECgR6B3gobu4q/lSUUjQKChAobYNfTE6haBAQI7ZFlFI0CAAIHRBAYVSKN90loECCyt\ngAJpaU+dAydAgAABAgSmLKBAmjKwzRNYRAEF0iKeFcdEgAABAgQIzFvghjmAnZLuDHbzPh77\nJ0BgRgIKpBlB2w0BAgQIECCwVAI1QcMvkxOX6qgdLAEC6xZQIK2b0AYIECBAgACBBRR4Yo6p\nvtR1ra2G1/0ouWStG/A5AgSWU8Asdst53hw1AQIECBAgMFzgennr1cnpyb7Jpcm4zf1H44pZ\nn0BDBFxBasiJ1A0CIwickHUqGgECBJoucK90cIvk+snf9nV267zeo29Z/8ttsmC/xP1H/TJe\nEyBAYEYCh2Y/Nc65/kLWCBAgQIAAgfUJvCIf/1zygKS+zPV+SbW7JPXFrxcmdYWot1UxtTE5\nKakvhq08KtEIEFhdoK7a1r9lD1h9VWsQGE1AgTSak7UIECBAgMAoAvVFri/srPjPefxh8rzk\n8uQtyQeS7yTbJtXqH3efSKp4elpSV6C2SzQCBEYTUCCN5mStMQQUSGNgWZUAAQIECKwgsGPe\nq6s/+3fWqSF1NRPdRcljO8u2z2MVQ/+VbJa8MzkjWW3oXVbRCBAYIKBAGoBi0foEFEjr8/Np\nAgQIECDQFXhMnpybVOHTbbvmSX/xc4csuzj5RlLr12uNAIG1CTSqQDJJw9r+EPgUAQIECBAg\nsJgCD8xhfSqpe4+67cd5UsPsetu38uJJyZ7JwUm91ggQILCJAskfAgLtETgkXa1oBAgQaLJA\nFUgfG7GDb896N0qOGXF9qxEg0AIBBVILTrIuEugIHJTHikaAAIGmCtQXw+6SfHyMDl45xrpW\nJUCgBQIKpBacZF0kQIAAAQItEairRzUhw2kt6a9uEiAwBQEF0hRQbZIAAQIECBCYi0AVSONc\nPZrLQdopAQKLLaBAWuzz4+gIECBAgACB0QR2yGoHJqPefzTaVq1FgEDrBBRIrTvlOkyAAAEC\nBBop8Nfp1amJAqmRp1enCMxO4Lqz25U9ESBAgAABAgSmIrBXtvrU5JGJSRemQmyjBNojoEBq\nz7nWUwJXICBAgEBDBV6Rfn0xeX9D+6dbBAjMUECBNENsuyIwZ4Hnznn/dk+AAIFpCNwjG60r\nR/WoESBAYN0CCqR1E9oAgaUROHdpjtSBEiBAYHSBv8uq70y+PPpHrEmAAIHhAgqk4TbeIUCA\nAAECBBZboGatqytHt17sw3R0BAgsk4BZ7JbpbDlWAgQIECBAoFfg4Lz4QnJy70LPCRAgsB4B\nBdJ69HyWAAECBAgQmKfAg7PzD8/zAOybAIHmCSiQmndO9YjAMIGaBreiESBAoAkCe6QTt08U\nSE04m/pAYIEE3IO0QCfDoRCYssALOtv/oynvx+YJECAwC4G6enR6cvwsdmYfBAi0R0CB1J5z\nracEXDH2Z4AAgSYJVIH0kSZ1SF8IEFgMAf9gWozz4CgIECBAgACB0QW2yKr3Sz40+kesSYAA\ngdEEFEijOVmLAAECBAgQWByBDTmUGgXzqcU5JEdCgEBTBAyxa8qZ1A8CBAgQINAsgQPSne2T\n45Iz+7pWw+uOTi7uW+4lAQIE1i3gCtK6CW2AAAECBAgQmLBADaGr2ek+mPw4+WnypuRmSTXT\ne1/j4L8ECExBwBWkKaDaJIEFFfjlgh6XwyJAgEC/wEOzoP6NcuPkpsm+yZ8mJyZvSfZOTO8d\nBI0AAQJNFTg0Hat/vG7T1A7q10II1A3N912II3EQBAgQWFngA3n7P/pW2TSvH5V8P/le33te\nEiAwX4HrZff1b9kaGqsRmIiAAmkijDZCgAABAgsqsHuOq64EjdJ2zEq/SO4/ZOXNs3yHIe9Z\nTIDAfAQaVSAZYjefP0T2SoAAAQIE2iTw9+ls3ff8yBE6/eis85Pk00PWreLpnCHvWUyAAIF1\nCyiQ1k1oAwQIECBAgMAqAnfK+6MOI39s1n1rcvUq2/Q2AQIEpiJgFrupsNooAQIECBAg0BHY\nKo81qcJuya6dZcMebpc37pK8edgKlhMgQGDaAgqkaQvbPgECBAgQaLfA7dP9+vfGZcnd+yhu\nkdefTZ6X1H1KdfXoa8l3Eo0AAQJzETDEbi7sdkpgLgKHdfb6zLns3U4JEGirwB3T8dOTHyRV\nIL036baH58mtk52TlyVXJM9ONAIECMxNQIE0N3o7JjBzAbM+zZzcDgkQiMA+yTeTbyX7J73t\ngXnxjqS+4+geSX0B7MZEI0CAwNwEDLGbG70dEyBAgACBVgjUFaTjky8ld03q+4yqbZEcmHy8\nXqR9MXlhcmG90AgQIDAvAQXSvOTtlwABAgQItEOgCqS6gvTlZLvkNkm1eyc1kmXYdN61jkaA\nAIGZCyiQZk5uhwQIECBAoDUCdW/RTkldQfpRUt9vVPchVXtQckxycb3QCBAgsCgCCqRFOROO\ngwABAgQINE+grh7VF7ue2OlaXUXqFkh1/1F3eF3nbQ8ECBCYv4ACaf7nwBEQIECAAIGmClSB\nVMVRzU5XrVsg3STPa/KGj9VCjQABAoskoEDaZJPr5YSM8w3fi3T+HAuBcQROyMoVjQABArMS\nqCKohtd1WxVI9TP3t5Nzkq8nGgECBAjMQeCQ7PM1yXOSvTv7v34ea2rRmi3nl8lVyZuT7ZNZ\nt0OzwzqGbWa9Y/sjQIAAAQJTFPhqtv3cnu3fIM+vTuqq0tt6lntKgMByC9QFh/q37AHL3Y12\nHH1dIXtfUiesm/Py/GbJGzrLPpXH1yf1W61ap77RuzsFaZ7OpCmQZsJsJwQIECAwYYGahW7D\nkG1uluU/Tx7S934VR/Xz9gl9y70kQGB5BRRIS3Tu/m+Otf4S/kRSl/OflpycnJTUb7AemfS2\nv8qLWv/RvQtn8FyBNANkuyBAgACBiQvUTHT1c/PhA7Z86857u/e9d0Rn+W59y70kQGB5BRRI\nS3TuPpxj/VmyZc8xPzTP6y/zD/Us6z6tK06nJf/SXTCjRwXSjKDthgABAgQmKvCCbK2GqJ+d\n7NS35folZI3a6G915ahGbWgECDRHoFEFUhUETW57pHNHJpf1dLKG1NXVo+/0LOs+reWnJDfr\nLvBIgAABAgQIDBXYL+/8R1LfcfRvfWvVBA31BbH97U1ZcI/+hV4TIEBgUQSaXiDV1aD7J71X\nkA7K6+r37ZL+VmOp6y/7U/vf8JpAAwRqspKKRoAAgUkJ1M/MLyaPTX4r6d5XVBMe7Z8MKpCy\n+Fe/qKxHjQABAgRmLPCU7K+G0x2Z1Pjo5yWnJ19P6mrRY5Juq6KpfqtV6z+iu3BGj4bYzQi6\n5bvZmP5XNAIECExC4EbZSP3MvGtnY8/I48XJKUktr6F3/ff6ZpFGgEADBRo1xK6B5+daXaqi\n571J/UXdTY2T3jmpoQC17EvJfydndF5/PI+zbgqkWYu3c38b0+2KRoAAgUkI1AiNK5ItOhur\nn7nPSupnWl092jrRCBBoh0CjCqQaUtbkVleJHpbU1aN7Jicn70/OSp6d1Mms6Ufvnlya/HPy\nnEQjQIAAAQIEVha4S96u+3kv76xWP3P/rvPcAwECBJZWoOkFUvfEvCdPKr3t/Lx4fFK/8doj\nOS2p4QAaAQIECBAgsLpA3X/0tdVXswYBAgSWS6CKg7a3+o3XKYniqO1/EvSfAAECBMYRqALp\n2HE+YF0CBAgsg0BbriCNei6emhVrYofXJq8b9UMD1tsqy/5vUkP4Rml3G2Ul6xAgQIAAgQUR\n2C7HsXeiQFqQE+IwCBCYnIAC6dqWO+dlfW9DPa6n1cw+NXPPqAXSDuvZmc8SGFGgbqbWCBAg\nMAmBfbORGoFx3CQ2ZhsECBAgsLgCkyqQxu2hWezGFbP+WgSqcK9oBAgQWK/AX2QD31rvRnye\nAIHGCJjFrjGn8tc7UrPbVTQCTRQ4t4md0icCBOYi4P6jubDbKQECsxAwScMslO2DAAECBAg0\nS0CB1KzzqTcECPQItPEepBum/9sn9cV2Fyc13fcliUaAAAECBAisLlBfAHubxAQNq1tZgwCB\nJRRoyxWkupn08OTspIYZ1bTe301OT6pI+kHy+mTHRCNAgAABAgSuLbBpXm7XSX3xer3+eqIR\nIECAwBIKvDDH/MtOfpjHY5IPJm9PPpJ8KTkzqXXOSR6TzLqZpGHW4u3c317pdkUjQIDAuAJv\nzQe6P0vr0QQN4wpan0CzBRo1SUOzT9Umm/xeOlh/kVchVOOlh7X6TdiByVeSWr9+OzbLpkCa\npXZ79/XGdL2iESBAYByBO2Tlq5NDkhqRUdkp0QgQINAVUCB1JZbgsX7jVcPn6n6jUVrdn3Rh\nsp4viR1lP/3rKJD6RbyehsDGbLSiESBAYJhA/Rzsb+/Mgk/0L/SaAAECPQKNKpCafg/SPjlx\nX0gu7zmBKz09L28en+y20kreI0CAAAECDRS4UfpUQ86f09O3unr0yOTFPcs8JUCAQKMFml4g\n1V/0d0k2H/Es1m/OqqiqCRw0AgQIECDQJoEHpbM1lO5lyRM7HX9hHj+VfL7z2gMBAgQaL9D0\nAuk/cgZrKtL/TvZf4WzWPUj3Tj6a1PSl7000AgQIECDQJoEHp7M1idFTkxpq/rzE1aMgaAQI\ntEug6d+D9J85nXUj6UuT307OSGpq758lda9RTVlaQwr2SHZJrkyekfhNWRA0AgQIEGiNQP3C\ntK4gPTvZmNTXXrw8+WTiZ2IQNAIECDRNYM906G1JFUg1S11v6ktiT0oOS3ZP5tEOzU7rmLaZ\nx87tszUCb0pPKxoBAgT6BWqURQ2v27nnjT/J89v3vPaUAAECwwQaNUlD068gdU/iyXny6M6L\numq0fbJlUl8ce0GiEWiDwBHpZBXiGgECBPoFanjd15Kzet54Tc9zTwkQINAagbYUSL0ntIbW\nVTQCbRM4sm0d1l8CBEYWqALpwyOvbUUCBAg0WKDpkzQ0+NTpGgECBAgQmIhA3atbM74qkCbC\naSMECCy7gAJp2c+g4ydAgAABAusTOCgfr8mLvrK+zfg0AQIEmiGgQGrGedQLAgQIECCwVoEa\nXldfc1GTNGgECBBovYACqfV/BAAQIECAQIsF6l7kByaG17X4D4GuEyBwbQEF0rU9vCLQZIGa\nyr6iESBAoCtwrzzZNvlYd4FHAgQItF2gjbPYtf2c6397BXZob9f1nACBIQK/m+VHJ+cOed9i\nAgQItE7AFaTWnXIdJkCAAAECvxLYNP+tAum/eRAgQIDA/wookP7XwjMCBAgQINAmgbuns7sl\n72lTp/WVAAECqwkokFYT8j4BAgQIEGimwCPSrS8mP25m9/SKAAECaxNQIK3NzacIECBAgMCy\nCxhet+xn0PETIDAVAQXSVFhtlAABAgQILLTAnXJ0eyXvXuijdHAECBCYg4ACaQ7odklgTgIn\nZL8VjQCB5RbYI4dfV3/W02p43bHJKevZiM8SIECAAIFpCRyaDf8y2WZaO7BdAgQIEGiMwHPS\nk/OS9fyS89v5/AsaI6IjBAjMW+B6OYD6t+wB8z6QSex/PX+5TmL/tkGAAAECBAiMJ7BTVr9B\nUsPk1tJunQ/dLjG991r0fIYAgcYLKJAaf4p1kAABAgQaJrBzpz8b1tivP83nvpl8d42f9zEC\nBAg0WkCB1OjTq3MECBAg0ECBuoJUbcOv/jvef/bL6k9JnjXex6xNgACB9ggokNpzrvWUAAEC\nBJohUAXSl5J7J+P8HK91X5vUF8N+LNEIECBAYIDAOH+xDvi4RQQILJHAITnWikaAwHILVIH0\nruSGyTj3IT0569e9R09PNAIECBAYIqBAGgJjMYEGChyUPlU0AgSWV2DTHPqOyXHJicl9klFa\nfeblyYuSM0b5gHUIECDQVgEFUlvPvH4TIECAwDIK3CgHfd3krOSoZEOyWqtpdz+U/Cj5p9VW\n9j4BAgTaLqBAavufAP0nQIAAgWUS6E7QcHYO+qjkwGTYz/K9815N5f355AfJwcmViUaAAAEC\nKwjUb6E0AgQIECBAYDkEaorvq5Nzks8kdR/SPsk3kv72kSyoK013T77a/6bXBAgQIDBYYNhv\nnQavbSkBAgQIECAwT4G6gvSz5KrkzKTuQ9qQ9LdbZUFdQXpCojjq1/GaAAECKwgokFbA8RYB\nAgQIEFgwgSqQanhdtx2VJ4Mmanhglp+anJRoBAgQIDCGgAJpDCyrElhygSty/BWNAIHlFagh\ndv0FUt2HtFlfl6pA+njfMi8JECBAYAQB9yCNgGQVAg0ReG5D+qEbBNosUFeQ6r6ibqsvfN06\neXDygc7CzfN43+RxndceCBAgQGAMAVeQxsCyKoElFzg3x1/RCBBYXoH+IXbnpSs1U92hPV26\nZ55vlRzZs8xTAgQIEBhRQIE0IpTVCBAgQIDAAgj0F0h1SG9I6grSrvUirYbXfTk5v15oBAgQ\nIDCegAJpPC9rEyBAgACBeQrUPUi9Q+zqWGq675OTmrGuWhVINfROI0CAAIE1CCiQ1oDmIwQI\nECBAYE4Cg64g1aH8e/LEZMdkv8QEDUHQCBAgsBYBBdJa1HyGwHIK7JXDrmgECCynwJY57G2T\nswcc/sYs2z15RXJhUkPsNAIECBBYg4BZ7NaA5iMEllTgBZ3j/qMlPX6HTaDtAjW8rlr/ELvu\nsprFrq4ivTupL5LVCBAgQGANAq4grQHNRwgsqUD9/+7/+SU9eQ6bQARqeF21QVeQavnh9Z80\n9x9d4+C/BAgQWJOAfyytic2HCBAgQIDAzAWqQPp5csmQPX80y/85ec+Q9y0mQIAAgREEDLEb\nAckqBAgQIEBgAQRqiN2wq0d1eFcnf1ZPNAIECBBYu4ArSGu380kCBAgQIDBLgbqCNOj+o1ke\ng30RIECg8QIKpMafYh0kQIAAgYYIVIG00hWkhnRTNwgQIDBfAQXSfP3tncAsBX6ZnVU0AgSW\nQ+AOOczteg51tSF2Pat6SoAAAQJrFVAgrVXO5wgsn8AROeQ3L99hO2ICrRWo2eie1dN7Q+x6\nMDwlQIDAtAQUSNOStV0CiydwZA7p04t3WI6IAIEBArfNsl2T3+l5zxC7HgxPCRAgMC0BBdK0\nZG2XAAECBAisXeD++ejFyR2TmyfVDLG7xsF/CRAgMFUBBdJUeW2cAAECBAisSaAKpLcnpyYP\nTTZNdkjMYhcEjQABAtMUUCBNU9e2CRAgQIDA+AL1s3lD8qnk/UkVSDdONkvMYhcEjQABAtMU\n8EWx09S1bQIECBAgML7AXfKR7ZO6b/CnyVOTWyXVFEjXOPgvAQIEpibgCtLUaG2YwMIJHJYj\nqmgECCy2QA2v+2ZSxdDRyc+TxydXJ+ckGgECBAhMUcAVpCni2jSBBROo+xc0AgQWX6AKpBpe\nV+0XyUeS30+qOKoiSSNAgACBKQq4gjRFXJsmQIAAAQJjCmyR9e+VdAuk+njdh7RtYnhdaWgE\nCBCYsoACacrANk+AAAECBMYQuGfW3TypoXXd9uE8qStJZrDringkQIDAFAUUSFPEtWkCBAgQ\nIDCmQA2v+3JyUc/nLsjzKpgUSD0onhIgQGBaAu5Bmpas7RIgQIAAgfEFqkD6xICPPS3L6ruQ\nNAIECBCYsoArSFMGtnkCBAgQIDCiQE2kcrfkkwPW/16WnThguUUECBAgMGEBV5AmDGpzBBZY\n4IQFPjaHRoDANTPV1TC6z8EgQIAAgfkJKJDmZ2/PBGYt8MpZ79D+CBAYS+CxWfutiam8x2Kz\nMgECBCYrYIjdZD1tjQABAgQIrEXgNvlQDa9781o+7DMECBAgMDkBBdLkLG2JAAECBAj0CtRQ\nuT/oXbDC87p69PXkWyus4y0CBAgQmIGAAmkGyHZBgAABAq0T2C49PiDZf4Se1+x0VUi5ejQC\nllUIECAwbQEF0rSFbZ8AAQIE2ihQxVH9jL31CJ3fkHV2Td42wrpWIUCAAIEpCyiQpgxs8wQW\nSOCQHEtFI0Bg+gL36uxilAKphtd9LPFFsNM/L/ZAgACBVQUUSKsSWYFAYwQOSk8qGgEC0xe4\nZ3bxxeRmyVYr7G7rvPfI5IgV1vEWAQIECMxQQIE0Q2y7IkCAAIFWCGyWXta9R29K6v6iWybD\n2n3yxubJ+4atYDkBAgQIzFZAgTRbb3sjQIAAgeYL7JMuXj95b3JuUlN4D2t3zhs1c91lw1aw\nnAABAgRmK6BAmq23vREgQIBA8wXq/qPvJ2cnJyYr3Ye0b96v6b01AgQIEFgQAQXSgpwIh0GA\nAAECjRGoAumYTm9WK5DqCtI3GtNzHSFAgEADBBRIDTiJukCAAAECCyVQEzR8vnNEKxVINQxv\n78QVpA6WBwIECCyCwHUX4SAcAwECMxG4YiZ7sRMC7Ra4abpfM9f1Fki3GkJypyz/ZXL8kPct\nJkCAAIE5CCiQ5oBulwTmJPDcOe3Xbgm0SaCG152ffKfT6bqCtF2yS3JmZ1n3oe4/qnuVLu4u\n8EiAAAEC8xcwxG7+58AREJiVQM2mVdEIEJieQA2v+0JSV4aqVQF0VTJoogb3H5WQRoAAgQUT\nUCAt2AlxOAQIECCw1AK9EzRUR2po66nJoALJDHaB0QgQILBoAgqkRTsjjocAAQIEllVg9xx4\n3Vf02b4ODJqoob4c9vaJGez6sLwkQIDAvAUUSPM+A/ZPgAABAssmsG0OuIqb/vbSLKgZ6Y7u\ne2NQgXTbrLNFZ/2+1b0kQIAAgXkKKJDmqW/fBGYrsFd2V9EIEFifwFPz8a8kdbWo2+r5HybP\nSrr3H3XfG1Qg1f1HP0nO6q7kkQABAgQWQ0CBtBjnwVEQmIXAC7KTikaAwPoE9snHa4jcu5Mb\ndDb1d3n8UPKZzuvehyqQbp5cr2eh+496MDwlQIDAIgkokBbpbDgWAtMVqP/f/T8/XWNbb4fA\nHdLNlyWXJm9NDkrulzwnGdS+m4WbJfWlsN1mBruuhEcCBAgsmIB/LC3YCXE4BAgQILDQAlXo\n3Cb5YvLwpGate1fy78kJyaBWQ+kuTHpnsqsCqe5X0ggQIEBgwQQUSAt2QhwOAQIECCy0wC1z\ndDW5wreSk5LHJhclL0pWat/Lm90C6eZ5XkPzvpFoBAgQILBgAtddsONxOAQIECBAYJEFanjd\nBcnpnYN8fx4rq7VvZoWXJL+fnJdUUVVfIqsRIECAwIIJKJAW7IQ4HAIECBBYaIEqkOrq0bjt\nT/OBtyc1wUPNeHdM0j/bXRZpBAgQIDBvAQXSvM+A/ROYnYB/jM3O2p6aK1Dff7SWAumSfO7j\nnTRXR88IECDQAAEFUgNOoi4QGFHgiKynSBoRy2oEhgjUFaR/GfKexQQIECDQAAEFUgNOoi4Q\nGFHgyBHXsxoBAoMFanKGmqRhLVeQBm/RUgIECBBYOAGz2C3cKXFABAgQILCgAjW9d03z/e0F\nPT6HRYAAAQITEFAgTQDRJggQIECgFQI1vO6s5Ket6K1OEiBAoKUCCqSWnnjdJkCAAIGxBapA\ncvVobDYfIECAwHIJKJCW63w5WgIECBCYn8Bap/ie3xHbMwECBAiMLaBAGpvMBwgsrcBhOfKK\nRoDA2gQUSGtz8ykCBAgslYBZ7JbqdDlYAusS2GFdn/ZhAu0WuH66v0diBrt2/znQewIEWiDg\nClILTrIuEiBAgMC6BeoLYjdN3IO0bkobIECAwGILtL1Aqula905usNinydERIECAwJwFanjd\nacmFcz4OuydAgACBKQu0oUDaKYavS97UY7l9nr82uSQ5KflZcnzyjEQjQIAAAQL9Au4/6hfx\nmgABAg0VaPo9SHXPxbHJbsnRnXO4eR6PTPZLrk6OSs5J7p4cltQVpT9O6j2NAAECBAiUwL7J\n51EQIECAAIFlF3hVOvDL5LnJFp3O/EVn2b/l8SadZfVwveTVSa3/m8ks26HZWe13m1nu1L5a\nJ7AxPa5oBAiMJ1CjLWpo3cPH+5i1CRAg0BqB+nd0/Vv2gCb0uOlD7OoknZL8f8nlnRN27zye\nn9RVop90ltXDFUkVTz9KHpBoBJomcEI6VNEIEBhP4NZZfdvkq+N9zNoECBAgsIwCTR9iV/37\netI7XO6qvD4t+UXS32q9Hye37H/DawINEHhlA/qgCwTmIXDX7PTspH6BphEgQIBAwwWafgXp\nazl/NVzuxj3n8eg8v1WyY8+y7tMaclc/CI/rLvBIgAABAq0XqJ8Lrh61/o8BAAIE2iLQ9ALp\n8JzIuvfoG0kNrav270kVTu9Mdk267c55UsXTlcm7uws9EiBAgEDrBRRIrf8jAIAAAQLNEnhC\nunNpUsPn6srQG5M3dF7XfUffSc5K6sayWqcmTJh1q32apGHW6vZHgACB1QXq+/LqKyF+e/VV\nrUGAAIHWCjRqkoa2nMWd09FXJKcldYWoipHeXJzXb0vukMyjKZDmoW6fBAgQWF3gjlmlfl70\nznq6+qesQYAAgXYJKJCW/HzXbwPre5Hqe4+qILpBMu+mQJr3GWjH/g9JNysaAQKjC9QohNNH\nX92aBAgQaKVAowqkps9iN+hPaM1id0Yng963jEBTBQ7qdOwdTe2gfhGYgMCe2cbJPdu5W56b\noKEHxFMCBAg0XaDpkzTM8/xtmZ1ff8TURBIaAQIECMxH4BbZ7V8lJyY/SP4o6TYTNHQlPBIg\nQIBAKwWeml7XRA5PWWfv987n60pV731OozzfZp379XECKwlszJsVjQCBa4ZX1/Dmo5OaoOeE\n5PnJK5OfJvX1EJsnlyW/lWgECBAgMFzAELvhNkv/Tk3msE9Sj+tp38+H903qh+so7WFZqX57\nqREgQIDA9AUenF3U1zlcmNQEPX+ZdIfR1d/bNWPd3yavTeoKf/e9PNUIECBAoOkCbbwHaaVz\nWj8M64fmWSutNOJ7x4+4Xq223xjrWpUAAQIE1idwYD7+5eR+Sc1s2tt+kRdPSz6V1M/IHybn\nJBoBAgQItERAgXTtE12F0SSKo2tv1SsCBAgQWCSBPXMw3076i6PuMR6VJ29NHp/8d6IRIECA\nQIsE1lIgbYhPDU+4TXKjZFB7YxZWFrHdMAe1fVLDJur7j85P6ksANQJNF6gvRtYIENhkk72C\n8JVVIJ6Z92uo3ZdWWc/bBAgQINBygUem/zX8oDvhQN3YOigvWjCnuh/o8OTspHvsvY81a9Hr\nkx2TebRDs9M6HpM0zEO/PfusX2gM+6VGexT0lMAmm5wXhEeMAFGF1NYjrGcVAgQItF2gUZM0\njHsyj80HLk1qfPYe4354Tuu/MPvtFkM1lvyY5IPJ25OPJPXbwTOTWqfGmT8mmXVTIM1a3P4I\nEGirQI0iqL/v79xWAP0mQIDAFARaWyDVb9FqvPY7poA6rU3+XjZcPwirEFppIoRN8/6BSQ25\nqPXvmcyyKZBmqW1fBAi0WeCu6Xz9Pb9dmxH0nQABAhMWaFSBdJ0xcOq7IOrq0XfH+My8V63p\ns09O6rGufg1r9cOyvgvjgclFyWMTjQABAgSaJ1ATNPwsubB5XdMjAgQIEJiEwDgF0tXZ4ZFJ\n3bS6lskdJnG8425jn3zgC8nlI36wxqUfn+w24vpWI0CAAIHlEqgCqX5xphEgQIAAgYECqxVI\nNdtbfZt4Ny/I85sndQ/Pg5JbJN33eh+3yvJFaHVv0V2SzUc8mBqbXkXVMl0lG7FrViPwq5m7\n6qZzjUCbBer/gZqYRyNAgAABAmsS+EY+VcPPxs2L1rS3yX/oDzrH/v487r/C5usepHsnNWFD\n3Wd1r2SWzT1Is9Ru777emK5XNAJtFqgvgH1ZmwH0nQABAlMQaNQ9SKsNlashdWsZirAoV2D+\nM8e/U/LSpIYGnpGcnnTHn9dNujdK9kh2Sao4ekby+UQj0DSB1a4YN62/+kNgkEANsaufDRoB\nAgQIEJiIQP1gqaF0w1r9A+w+yaJNn1rH/bakCqT+q2H1JbEnJYcluyfzaIdmp3VcvgdpHvrt\n2efGdLWiEWirwObpeP0ibENbAfSbAAECUxJo1BWkcY3qatKLVvhQ3XtU/9D/1xXWmfdbddWo\nCqFbJnWP1SI0BdIinIXmH8PGdLGiEWirwN7peP2MullbAfSbAAECUxJoVIG02hC7KiIO7IHc\nNs/3S57Ys6z7tK4eda8cndtduICPF+aYKhoBAgQItEugRhNckdRQa40AAQIECAwUWK1AOiuf\n+puk7s/ptofmSWVYqyFr7xn2puUECBAgQGBOAjWD3anJ1XPav90SIECAwBIIrFYg1ZWWg5Pb\ndfryqjx+NhlUANUPnJ8nxyanJRoBAoslUEOLNAJtFqgrSCe3GUDfCRAgQGB1gdUKpNpCFTyV\nandNjk7eXS80AgSWSuCIHK0iaalOmYOdsIACacKgNkeAAIEmCoxSIPX2++m9LzwnQGCpBI5c\nqqN1sATGF6gv+35XclxSvxCo7/LrbVUgfb53gecECBAgQKBfYNwC6fXZwM79Gxnw+u1ZVtEI\nECBAgMCsBP4lO9ojqa9M+MvkzOTZyVuSanUPkiF2v6LwHwIECBCYlED9YKkhOivlR3n/Lya1\nw5ZsxzTfLTnRukmAwNQEHpUt1wx1+3X2sHcej0nOSLZLdkjqZ9c+iUaAAAECkxVo1DTf49LU\n9wbVEIbe1BfH3in5g+Ts5O8SbTwBBdJ4XtYmQIBAr0DNtHpO8te9C/N86+R7yZuSuydVIF0/\n0QgQIEBgsgKtLpBWo6zvQaofQA9dbUXvX0tAgXQtDi8IECAwlsCHsvaXk0HDxu+R5VcmNey7\nvrpCI0CAAIHJCyiQVjE9Ne//8yrrePvaAgqka3t4NR2Bw7LZikagSQL7pzNXJ7deoVMvzXv1\ny7svrLCOtwgQIEBg7QKNKpCus3aHgZ/cIktryN1OA9+1kACBeQrUPRgVjUCTBGrihboydOIK\nnXpJ3qsZ7VZaZ4WPe4sAAQIE2iQwaDjCSv3fMm9uOmCF2s6OSf2WrsZ3fzXRCBAgQIDAtAVu\nlh2ctspOfpH377fKOt4mQIAAAQK/Ehi3QPpOPnWLVexqprt/W2UdbxMgQIAAgUkIjFIg1X7O\nm8TObIMAAQIEmi8wboF0dEhqRqD+VuO/L0yOTw5PLkg0AgQIECAwbYEqkAydm7ay7RMgQKBF\nAuMWSI9vkY2uEiBAgMDiC1SB9InFP0xHSIAAAQLLIjDuJA31LeU1C9a4hdWyeDhOAgQIEFgu\ngVGH2C1XrxwtAQIECMxNYJwCqWaoe1xycFLfKaERILBcAifkcCsagaYIbJeO1BeYn9aUDukH\nAQIECMxfYJwrQVfkcC9K6pvJaya7+k4JjQCB5RF45fIcqiMlMJJAXT2q9qNrHvyXAAECBAis\nX2CcK0hVED28s8v35/FBSX3/RP0Grz91tUkjQIAAAQLTFKgC6bLk7GnuxLYJECBAgMBKAp/L\nm+ckVSytlBfnfW10gUOzanluM/pHrEmAAIHWCzwlAoNmVm09DAACBAjMWOB62V/9W/aAGe93\nKrsbZ4hdHcB3k1G+S8KUq1M5XTZKgAABAj0Cu+e5+496QDwlQIAAgfULjFsgPWn9u7QFAgQI\nECAwEQEz2E2E0UYIECBAoFdgnHuQ6nN7Jjfu3UDf89refZI79y33kgCB+QsckkOoaASaIqBA\nasqZ1A8CBAgskMC4BdInc+x/ssLx1+QMRyVPXmEdbxEgMB+Bg7LbikagKQIKpKacSf0gQIDA\nAgmsNsTuljnWA3uOd9s83y95Ys+y7tMqtrpXjs7tLvRIgAABAgSmIFA/c3ZLTpvCtm2SAAEC\nBFossFqBdFZs/ibZpcfooXleGdYuyRvvGfam5QQIECBAYAIC9XNp80SBNAFMmyBAgACB/xVY\nrUC6MKsenNyu85FX5fGzyaAC6Oos/3lybOIHVhA0AgQIEJiaQA2vq/ajax78lwABAgQITEZg\ntQKp9lIFT6XaXZOjk3fXixHbA7Pe6cl3RlzfagQIECBAYDWBKpB+mly62oreJ0CAAAEC4wiM\nUiD1bu/pvS9GfP6yrFcFlQJpRDCrESBAgMCqAlUgGa2wKpMVCBAgQGBcgXEqdA/dAABAAElE\nQVQLpHG3b30CBBZH4IrFORRHQmDdAgqkdRPaAAECBAgMElAgDVKxjEAzBZ7bzG7pVUsFqkA6\npaV9120CBAgQmKLAdaa4bZsmQGCxBM7N4VQ0Ak0QcAWpCWdRHwgQILCAAgqkBTwpDokAAQIt\nEqifQ3dfQ38VSGtA8xECBAgQWF1AgbS6kTUIECBAYHoC98umv5TUl5CP2rbJijdKTPE9qpj1\nCBAgQGBkAQXSyFRWJECAAIEpCNyls80Xr7Lt++f9xyWbJXX1qNpp1zz4LwECBAgQmJyAAmly\nlrZEYNEF9soBVjQCiyRw5xzMsUl9KflKV5H+OO9vTI5LHp/UrIw/STQCBAgQIDBRAbPYTZTT\nxggstMALOkf3Rwt9lA6ubQL7psP/kpyZvCj5nWRQ2z0L/z7ZKvnL5IfJLxONAAECBAhMVECB\nNFFOGyOw0AKuGC/06WnlwdW9RLdMvpF8IflyUleR6opSf6thdV9L3pb8Y7JbohEgQIAAgYkL\njPsPpvot32GJwmrip8IGCRAg0DqBO6bHmyY1bO6ryYeSuorU37bIgh2T0zpvnJTHozrPPRAg\nQIAAgYkKjFMg1Q+oukG2xolfOcZR1FCId42xvlUJECBAoB0CNbzu5OTCTndfkseHJrfpvO4+\n3DRPqpD6UXeBRwIECBAgMC2BcQqkuiH2omTrpH5Qjdo+mxW/P+rK1iNAgACB1gjUBA1f7+lt\nXUX6aVLLe1sNr7sq+XHvQs8JECBAgMA0BMYpkOpm2Id3DuL9eXxQUjNibTcgdbVJI0CAAAEC\nKwnUFaS6/6i3/SAv6mdLb6sJGs5Mxhm90Pt5zwkQIECAwMgC4xRItdG6/6iuINUwu48mdWXo\nggF5XpZpBAgslkD9kqOiEVgEgc1yEHUPUu8VpDquYQXSj+pNjQABAgQITFtg3MkWvpsDOm+E\ngzpxhHWsQoDAbAWOyO4USLM1t7fhAnWf0ZbJoCtIG/o+VleQFEh9KF4SIECAwHQExi2QnjSd\nw7BVAgRmIHDkDPZhFwRGFaj7jM5O+u8rqitIT+zbSN2D9O2+ZV4SIECAAIGpCIw7xG4qB2Gj\nBAgQINA6gUH3HxVCFUi7JnV1qdtcQepKeCRAgACBqQusp0CqbzOv8eP7d46yvvBPI0CAAAEC\nowjUFaT++4/qc1Ug1Uype9WLTlMgdSU8EiBAgMDUBdZSINVQh3cmlyTHJzVxQ7W3JC9NzGBX\nGhoBAgQIrCQw7ArST/Kh+vnSLZBqptTtk9MSjQABAgQITF1g3HuQdskRHZvcODkhqRntuq1+\n4/eC5GHJXZPLEo0AAQIECPQL1BWhGyWDriDVunUVqVsg1brVfnTNg/8SIECAAIHpCox7Bemf\ncjg1tO7eye2SKpa67RF58rLk9snjugs9EiCwMAJ1tbd7xXdhDsqBtFKgrh7VVaKThvS+v0C6\nPOvVF8hqBAgQIEBg6gLjFkj3zxH9S/K5AUd2VZa9JKnvRbrHgPctIkBgvgI7ZPcVjcC8BeoX\nap9Prh5yIL0FUg3rrqtHpqgfgmUxAQIECExWYJwCqcaB3zBZ6TuOfpH3v91ZLw8aAQIECBC4\nlsBN8+rRyT9ca+m1X/QWSLvnLcPrru3jFQECBAhMUWCcAunCHEfdPHu3FY6niqgaYldfKKsR\nIECAAIF+gadnQf2M+Gj/Gz2vq0C6ebJZokAKgkaAAAECsxMYp0Cqo/pI8qTkT5LrJ73tBnnx\n5qRmG/pE7xueEyBAgACBCNTPhycnq90LVwXS5kkVR90hdnmqESBAgACBxROoIui0pMaC171G\ndUXpjOS9yc+SWv6mRBtP4NCsXna+S2o8N2uPJ7Axq1c0AvMSeHZ2XMPlqvhZqdUMqzVk+wFJ\nTeRQRZVGgAABAosrcL0cWv1b9oDFPcTRj2zcK0jnZ9P7Ja9P6lvOd07qG89/J6n2Z0ldYdII\nECBAgECvQP3w/PPkH5MqflZqV+bNU5O9k7pnyT1IQdAIECBAYDYC9Vu6cdotsvIpyVOSP072\nSG6SnJr8ONEIEFhcgfruMo3AvAT+IDuuq+T/NuIB1DC7eyT1yzgF0ohoViNAgACB9QuMWyB9\nKru8KqkhdZUvJCcnGgECiy/wysU/REfYYIGD07d3JheN2McqkB7SWbeGdmsECBAgQGAmAuMO\nsTs8R3VZ8szkc8mZyRuS+iG2RaIRIECAAIFBAntm4UpfE9H/mSqQapRCzaBa0QgQIECAwEIL\n3DxHV0Psala7Kpjqpqz6reC7khpGUTMVaaMLmKRhdCtrEiCwnAI1sc/Dxzj0ure1frZ8a4zP\nWJUAAQIE5iPQqEkaJkG4TTZSP8hq6ER9K3r9QHtxoo0uoEAa3cqaBAgsn8AOOeT62bDPGId+\nh85nPjzGZ6xKgAABAvMRaFSBNO49SL3kdePsvZL7dVJfILtpUvconZNoBAgQIECgBGp4XbVx\n7lmtdauoMkFDyWkECBAgMDOBcQuk/XNkD0yqKKp5zrv3HdW48tcln0w+ndRQCo0AgcUSOKRz\nOO9YrMNyNEsqcJ0cd40aGKVVgfTT5OJRVu6s8/M8/iRRII2BZlUCBAgQWL/AuAXS27LLmuq7\nbph9a3J08qnk9EQjQGCxBQ7qHJ4CabHP0zIc3eNykPV1D/WLslHaXlmpJl0Yt70oH/jcuB+y\nPgECBAgQWI/AuAXS8dnZzZLtkockNcxus6SKpB8mGgECBAg0X6BGE1RulJw7QnfrCtI4w+u6\nm6xZUjUCBAgQIDBTgRoiMU57WFa+cVIzEb07uXvy78mpyUlJDbN7ZHLDRCNAgACBZgrcPt2q\ne07rPtRR2loLpFG2bR0CBAgQIDBRgXELpNp53V9UXxL7tOSWSf3ge3Ly1eTxybuSP080AgQI\nEGimQBVIVyb3HrF79XNiLUPsRty81QgQIECAwOQE1lIg9e59p7y4Z/IbyYakJm2om3bNYhcE\njQABAg0UqL/3ayTBB5JRCqSa+vWmyVqG2OVjGgECBAgQmK3AuPcg1Q+6KogelNRsdvsmNcyi\nZhv6ePL+5IPJTxONAAECBJonUFePrkoOT2o0wdZJ/QwY1m6eN+qXcQqkYUKWEyBAgMBCCYxb\nIB2Xo79Npwc1/Wr9gKyi6JPJZYlGgMDiClyxuIfmyJZIoAqk7yefSeoXZPdIjkyGtRped3ly\nxrAVLCdAgAABAoskMG6BVGPIa3KGKoq+nNSX+GkECCyHwHOX4zAd5YIL3C7H9+3kkuTYpIbZ\nrVQg1RTfpyR+XgRBI0CAAIHFFxi3QDq4p0t75HldTappXmtIXf2gPDfRCBBYTAH/fy7meVm2\no6orSHX1qNpnk9XuQ6orSIbXlZZGgAABAkshUOPCx23128P64Xhq8tHkP5NPJDXk7tVJDbnQ\nCBAgQKCZAt0rSNW7KpDqy2JX+mWbAqmkNAIECBBYGoGVfqgN6sTuWfiFZLukiqOvJ+cntfzB\nyZ8l108OTa5ONAIECBBojkDNYLdD8p1Olz6Xx62SuyRf6izrf6ghdt0rTv3veU2AAAECBJZe\n4N3pQd1se/8BPdk8y16T1Djz3xjwvkXDBaqgLLdthq/iHQIECMxd4L45gl8kNaNpt30rT57Z\nfTHg8aIse+iA5RYRIECAQHME6udC/Vu2RhUsfRt3iN190uPXJ58a0PP6ofn0pO5H2pBoBAgs\nlkD9Jr+iEVirQA2vqxnsemdE/GxeD7sPqa441agC9yAFQSNAgACB5RAYp0DaPl2qCRnqt4XD\n2pV548Rkv2ErWE6AwNwEXpA9VzQCaxWoCRq6w+u626gCqUYN3KC7oOexW5ArkHpQPCVAgACB\nxRYYp0C6IF2p3HmFLtXltdsmp6ywjrcIEJiPQP3/Ps7/8/M5SntdZIEqkGqK7972obw4Mzk6\n2aX3jTzfM6kJfH7et9xLAgQIECCwsALj/mOpJmao+2V6p/vudm7LPHltcuPk092FHgkQIECg\nMQK9M9h1O1W/OKshdhcmxyS3TLqtCiRXj7oaHgkQIEBgKQTGncXuOenVg5IPJDV7Uc1id15S\ns9j9ZnLT5L+SDyYaAQIECDRHoO4n2iHpH2JXPayfA/Uz4J3J55O/T96a1BC7HyQaAQIECBBo\ntMBu6d1Hkpqpojf1rep/ndSVJG08gUOzelmaxW48N2uPJ7Axq1c0AmsRGDSDXf926pduz09q\nIoerkvq58OJEI0CAAIFmCzRqFrtxryDVqT0jOSipmYluk+ycnJLUbwkvTzQCBAgQaJ7AoBns\n+ntZE/W8vJN75vGQ5H2JRoAAAQIElkZgLQVSt3NVDNVUr5cmdROu4igIGoEFFqirlBqBtQrc\nMR8cNLxu2PbqfqSKRoAAAQIElkpg3EkaqnM1S9HHkouT45JPJT9L6irSUxKNAIHFFDgih/Xm\nxTw0R7UEAvfLMX5uCY7TIRIgQIAAgXUJjHsFqb7fqKZ0rWF1n0jqt4lVKNXkDA9IXpvUsLu/\nSPy2OggagQUSOHKBjsWhLJfALXO4lQ8v12E7WgIECBAgMH2Bt2YXNVvRXQbsqm7Oek1ShdG9\nBrxv0XCBQ/NWuZmkYbiRdwgQmJ/An2fXdZ+pRoAAAQIEBglUHVD/lj1g0JvLtmycIXabpXO/\nlbws+dqAjtb9SPVDtL4w8CED3reIAAECBJZT4ME5bFePlvPcOWoCBAgQGFNgnAKphuPVzHVn\nrLCPmtb11OQWK6zjLQIECBBYHoG6sn2fpIZXawQIECBAoPEC4xRINUvdl5PHJ8M+t0feu3Ny\ndKIRIECAwPIL3C9duDo5avm7ogcECBAgQGB1gWGFzrBPPjFvVAH0geRuSY03rLZ18tDk40lN\n3PCe5MY92SrPF7XtmAOriSXGtVjU/jguAsMEDssbFY3AOAI1ZLom+LhsnA9ZlwABAgQItEWg\n7j36eVI3YVVqSN0FPa+7y/sfn5d1FrW9MgdWx3ujOR6gSRrmiN+iXW9MXysagXEEfpiVnzbO\nB6xLgAABAq0TaNQkDeNO811D7OqH5bjtxHE/MKH198l2VpsZbrfOvuqK2IWd5z/K4+md5x4I\nECDQVoE7pOM3S0zQ0NY/AfpNgAABAo0T+EZ61H81a5TXL5qxhCtIMwZv6e42pt8VjcCoAs/O\nijVsWiNAgAABAisJtPoK0kowi/je63JQ/5Bsmbw/OSHpb/fNgrsn/5Rc2nnz851HDwQIEGiz\nwCPSeVeP2vwnQN8JECBAoJECt0+vjkt+nvxpsmnS29yD1KvheZMFNqZzFY1ADZ37y1UYnpr3\nL0n2XmU9bxMgQIAAgUZdQWrDzG3fzp/ZukL0r8mrk48l3fuO8lQjQIBA6wQOSY//PnnxkJ5X\nUfR3ybOS7w9Zx2ICBAgQINBIgTYUSHXi6jucnpk8ILlt8s3k9xONQJsEaojpoGGmbTLQ12sE\nbpeHukfzBckfX7Pof/67WZ69Oamhxq/9n6WeECBAgACBlghctyX97HazvsujZrare5PeltR3\nN12caATaIFDDSTUCJVC/KKri5/zkTUkNpTsqqfb4pN6vYXg1qY1GgAABAgQItETg/6Sfvd/h\ndKM59vvQ7Lv+IbLalORzPES7JkCgIQKbpx9XJHVFvVrdi1R///TmMfWGRoAAAQIERhRo1D1I\nI/a5savdPD17V/LpZNtkXk2BNC95+yXQPoG6OlTF0K49Xd8lz/fopJ5rBAgQIEBgHIFGFUht\nG2LXf6JPzYLf61/oNQECBBosUAXShcmPe/p4Zs9zTwkQIECAQKsF2l4g9Z/8p2bBU5Iam1/3\nKa211XC9mgGqhrKM0vYeZSXrECBAYAICNUGDyTomAGkTBAgQINBMAQXStc/rznlZkzjU43pa\nDV+pMf6jtqtGXdF6BNYhcEjns+9YxzZ8dPkF6grSd5a/G3pAgAABAgQIzEJgUgXSuMfqHqRx\nxay/FoGN+VBFa7fAsel+fb+RRoAAAQIEJiXgHqRJSS7gds7KMVU0AgQINFFg03TqNskJTeyc\nPhEgQIAAgUkItHGI3Q0Dt32yRVLfgVTfA1LfAaIRIECg6QI3Twe3Sgyxa/qZ1j8CBAgQWLPA\nddb8yeX64L453MOTs5Nzk1OS7yanJ1Uk/SB5fbJjohEgQKCpAnX/0aXJqU3toH4RIECAAIH1\nCrThCtILg/SSDtRpefxCUkVSFUZ1JalmnLtZ8uTkEcmfJf+ZaAQIEGiaQM1gd2JyddM6pj8E\nCBAgQGBSAk0vkOo7jqo4+mjygqRuTh7Ualz+vZO/T96anJock2gECBBokkBdQXL/UZPOqL4Q\nIECAwMQFmj7E7mEROzmpx2HFUaHWtNxHJw9MLkoem2gEmiZQU8+PM/180/qvP5ts4juQ/Ckg\nQIAAAQKrCDT9CtI+6X8Nqbt8FYfu2+flyfHJbt0FHgk0SOC5DeqLrqxNoK4gHba2j/oUAQIE\nCBBoh0DTryCdmdN4l2TzEU9nzXBXRVVN4KARaJrAuelQRWunwC7pdt13aYhdO8+/XhMgQIDA\niAJNL5D+Iw71nR//ney/gkn3HqS6V2nr5L0rrOstAgQILKNADa+7MjlpGQ/eMRMgQIAAgVkJ\nNH2IXc1Gt1Py0uS3kzOS05OfJRcm2yU1i90eSf12tf7x8Izk84lGgACBZRf4TDpwveSIpL7G\n4PvJLxKNAAECBAgQaLnAnun/25IqkGpCht7Ul8TWb1RrXP7uyTzaodlpHdM289i5fRIg0EiB\nupey/l55c/LjzvO6mq4RIECAAIFJC9Qv4+pnzgGT3vA8ttf0K0hd05rJ7tGdF3XVqMbhb5mc\nnVyQaATaILBXp5P1xcja8gtsni6sdDXooLz/k+RxSQ2nvl9S92VqBAgQIECAAIGFF3AFaeFP\nUSMO8I3pRUVbfoHHpwtfXaUb7877zvcqSN4mQIAAgYkINOoKUv1WUSNAoB0C9f+7/+ebca5r\nwoX9khsP6U5dXXpA8uEh71tMgAABAgQIDBHwj6UhMBYTIEBggQXqfsmaffM3hhzjvbN8q+QT\nQ963mAABAgQIEBgioEAaAmMxAQIEFljgpp1jq0JoUHtwFn4+cY/lIB3LCBAgQIDACgIKpBVw\nvEWAAIEFFagrSKcmKxVIhtct6MlzWAQIECCw2AIKpMU+P46OAAEC/QL19/auSX11Qd2H1P/1\nADfPstsmCqQgaAQIECBAYFwBBdK4YtYnsLwC9f0EFW25BXbO4dckDP+VDPrOiRpe96PkW4lG\ngAABAgQIjCnQlu9BGpPF6gQaKXBEeqVAWv5TW8Prqn0v+VpSw+w+mXRbFUiuHnU1PBIgQIAA\ngTEFFEhjglmdwBILHLnEx+7Q/1egCqTzkouTzya99yHtmNf3Sw5JNAIECBAgQGANAobYrQHN\nRwgQIDBHgZrB7vTO/qtAukdSQ+6q/V3y/eQj9UIjQIAAAQIExhdwBWl8M58gQIDAPAXqClLd\nY1Ttc8mWyV2T+vv8/yQHJlcmGgECBAgQILAGAQXSGtB8hAABAnMU6C2QaqhdTcZQw+oenWxM\n6vuPNAIECBAgQGCNAobYrRHOxwgQIDAngSqQTu/Zdw2ze36yS/KcnuWeEiBAgAABAmsQUCCt\nAc1HCCypwGE57oq23AJ1D1J3iF31pAqkrZMqjs5JNAIECBAgQGAdAobYrQPPRwksmcAOS3a8\nDvfXBTbLovqS2N4C6UN5/Yzk3xONAAECBAgQWKeAAmmdgD5OgACBGQrcJPuqIql3iN1Fef2q\nGR6DXREgQIAAgUYLGGLX6NOrcwQINEyg7j+q1nsF6Zol/kuAAAECBAhMRECBNBFGGyFAgMBM\nBKpA+lly6Uz2ZicECBAgQKCFAgqkFp50XSZAYGkFqkBy9WhpT58DJ0CAAIFlEFAgLcNZcowE\nCBC4RqBmsOu9/4gLAQIECBAgMGEBkzRMGNTmCCywwAkLfGwObTQBV5BGc7IWAQIECBBYs4AC\nac10Pkhg6QReuXRH7ID7BapAOrZ/odcECBAgQIDA5AQMsZucpS0RIEBg2gKG2E1b2PYJECBA\noPUCCqTW/xEAQIDAkgjUFf9dEpM0LMkJc5gECBAgsJwCCqTlPG+OmgCB9gnsmi7X39kKpPad\nez0mQIAAgRkKKJBmiG1XBAgQWIdADa+rdsY1D/5LgAABAgQITENAgTQNVdsksJgCh+SwKtpy\nCtQEDT9NLlvOw3fUBAgQIEBgOQTMYrcc58lREpiEwEGdjbxjEhuzjZkI/E1nL0fk0RTfMyG3\nEwIECBBou4ACqe1/AvSfAIFFFTgwB/b85DvJXyUXJkclGgECBAgQIDBFAQXSFHFtmgABAmsU\n2DSfOyx5S/K4ZJ/kD5OvJhoBAgQIECAwRQEF0hRxbZoAAQJrFHhUPnfH5BGdzx+fx2d3nnsg\nQIAAAQIEpihgkoYp4to0AQIE1iBwvXzmFcmrE1N6rwHQRwgQIECAwHoEFEjr0fNZAgQITF7g\nj7PJ7ZIqkjQCBAgQIEBgxgIKpBmD2x2BOQpckX1XtNkJvDW7etgYu7tx1q0JGf5fcsEYn7Mq\nAQIECBAgQKBRAoemN79MtmlUr3Rm0QRulAOqaLMTOC+7et8Yuzs863472XyMz1iVAAECBAjM\nW6CGh9e/ZQ+Y94HYf3MEFEjNOZd6QqArUMVo/bC4JNmqu3CFx/qhclVynxXW8RYBAgQIEFhE\ngUYVSIbYLeIfMcdEgEATBPbsdGKzPD5glQ7VOq9NakjeZ1ZZ19sECBAgQIDAFAUUSFPEtWkC\nBFotUAXSz5KPJw9dReLP8v4eyTNXWc/bBAgQIECAwJQFFEhTBrZ5AgRaK7BXev6D5P3JwUl9\n+eugtlMWviR5fnL2oBUsI0CAAAECBGYnoECanbU9EZi3QP2DvaLNRqCuIJ2cfDDZObl7Mqjd\nKwvrXqXXD3rTMgIECBAgQGC2Agqk2XrbG4F5CrwgO69osxHoFkg/ye6+nAwbZnfrvPe95OpE\nI0CAAAECBOYsoECa8wmwewIzFKj/3/0/Pzvw7hC72mNN9f07Q3ZdBdKJQ96zmAABAgQIEJix\ngH8szRjc7ggQaIVAfY/RTZMaYlet7kO6fbJnvehrCqQ+EC8JECBAgMA8BRRI89S3bwIEmipQ\nM9JtlnQLpPry13o+aJidAikwGgECBAgQWBQBBdKinAnHQYDAsgpUMVRTeddVo26r4XVXJKd3\nF+TxI8n9e17X0x2S+kJZQ+xKQyNAgAABAgsgoEBagJPgEAgQWGqBmp3uN5O79vSihtKdmvRO\nvFATNfSuk5eb1NWjmsGuJmnQCBAgQIAAgQUQUCAtwElwCARmJFD/EK9okxXYu7O5DT2brQKp\nO7yuu/ireXKTZLfugjxWgXRacmnPMk8JECBAgACBOQookOaIb9cEZixwRPb35hnvsw27q+F0\n1Tb86r/X/GfPPPQXSN/NsouT3qtI7j+6xst/CRAgQIDAwggokBbmVDgQAlMXODJ7+PTU99K+\nHVSBVJMw1Be+du9DqmU/SHpbDbf7eqJA6lXxnAABAgQILJiAAmnBTojDIUBg6QSqGHpTsnXS\nLX4GXUGqjtUwu+469doVpFLQCBAgQIDAAgkokBboZDgUAgSWTmCLHHHdU/SV5PhkQ7JDsm3S\nP8Qui65VIF03r6u4MoNdyWgECBAgQGBBBBRIC3IiHAYBAkspcIscdf09+v3kqGRDUkVPtWEF\nUhVQN0/2TGpIngIpCBoBAgQIEFgUAQXSopwJx0GAwDIKVDFUM9CdmRyV1H1INWzu7OTipL+d\nlAUXJDXMrtb7edL7XUl5qREgQIAAAQLzFKghHhoBAu0QOKzTzWe2o7sz6WUVSHWlqKZPPzqp\n+5AOSQZdPcriX633tTxWgXROUt9/ZOr1IGgECBAgQGBRBFxBWpQz4TgITF9gh+yiok1OoL4D\nqTtb3bl5XvchPahnWZ7+WutO1FBXkAyv+zUeCwgQIECAwHwFFEjz9bd3AgSWW6CuIHULpOrJ\nUclmybArSHnrVxM13CWPt0kUSCWiESBAgACBBRJQIC3QyXAoBAgsnUAVSDVBQ7cd1XmyWoF0\ng6y3f6JA6oB5IECAAAECiyKgQFqUM+E4CBBYNoH6+7Nmseu9gnR0Xv8i+W4yrJ2SN2o4nhns\nhglZToAAAQIE5iigQJojvl0TILDUAjfN0V8v6S2QqvCpq0pfTFZqdR9SNVeQrnHwXwIECBAg\nsDACCqSFORUOhACBJROoQuiq5Id9x/2jvteDXlaB9OPk4kFvWkaAAAECBAjMT8A03/Ozt2cC\nsxY4YdY7bPj+qkA6LakhdeO2w/OBb4z7IesTIECAAAEC0xdQIE3f2B4ILIrAKxflQBpyHFUg\n9Q6vG6dbdR9SRSNAgAABAgQWTMAQuwU7IQ6HAIGlEajvQOqdwW5pDtyBEiBAgAABAsMFFEjD\nbbxDgACBlQTWcwVppe16jwABAgQIEJijgAJpjvh2TYDAUgsokJb69Dl4AgQIECAwWECBNNjF\nUgIECKwksEPe3C5Z6z1IK23bewQIECBAgMAcBRRIc8S3awIzFjgk+6toowtUETTo78m6elRN\ngXSNg/8SIECAAIHGCAz6wd+YzukIAQLXEjgoryraaAJbZbVvJk8dsHoVSD9JLhnwnkUECBAg\nQIDAEgsokJb45Dl0AgSmKvD0bP1myW8M2Mudsuw7A5ZbRIAAAQIECCy5gAJpyU+gwydAYCoC\ndY/Rc5MvJ3cfsId7ZNkXByy3iAABAgQIEFhyAQXSkp9Ah0+AwFQEXpStnpH8abJnUgVTt9UX\nbN81USB1RTwSIECAAIEGCSiQGnQydYUAgYkI3DJb+b/Jc5KvJ5clvVeR9snrrRMFUhA0AgQI\nECDQNAEFUtPOqP4QILBegVdkA8ckH0h+kVSR1Fsg1fC6mr3up4lGgAABAgQINEyghopoBAi0\nQ+CKdnRzXb3cJZ9+RHLvnq18Jc/7CyRXj3qAPCVAgAABAk0SUCA16WzqC4GVBWrSAW1lgfvk\n7fOTuoLUbV/Kk8d0X+TxgOTVPa89JUCAAAECBBokoEBq0MnUFQKrCJy7yvve3mSTDUE4Orm6\nB6NmsqtJGvZMLkj2Tr6QaAQIECBAgEADBRRIDTypukSAwJoFNuSTr+/79PfzuorLGmZ3UXJp\ncnyiESBAgAABAg0UUCA18KTqEgECaxK4ST516+SoAZ/u3od0Sd77WlKTN2gECBAgQIBAAwUU\nSA08qbpEgMCaBDbkU3X/0XEDPl3D7O6X1JTfJmgYAGQRAQIECBBoisB1mtIR/SBAYFWBvbJG\nRRsssCGL++8/6q5ZBdJ+SQ2zc/9RV8UjAQIECBBooIACqYEnVZcIDBF4QZZXtMECG7L4qMFv\nbVIF0lbJtokrSEOQLCZAgAABAk0QMMSuCWdRHwiMJuAXIsOdVrr/qD51dnJqslny40QjQIAA\nAQIEGirgH0wNPbG6RYDAigKPzbsnJDt11tqQx2H3H3VW+dXQus91X3gkQIAAAQIEmingClIz\nz6teESCwssDD8vatko8mGzo5Oo+933+Ul9dqf3KtV14QIECAAAECjRRwBamRp1WnCBBYQaD+\n3tuQPD2p+4rel9w/OSpZqdV3Ifmy3ZWEvEeAAAECBBogoEBqwEnUBQIExhLYN2vfMHln8sBk\n706OyqNGgAABAgQItFzAELuW/wHQ/VYJ/LJVvR3e2QfkrW8lZ3VWqSLp2cmg7z/qrOKBAAEC\nBAgQaIuAAqktZ1o/CWyyyRFBUCRd84Wvn+r5A1GTNTyh57WnBAgQIECAQIsFFEgtPvm63jqB\nI1vX41/v8PWy6DeS1/z6W5YQIECAAAECBDbZpG33IK3W3/qOk7o3YUt/OAgQaKTAAenVFsln\nGtk7nSJAgAABAgTWLbBawbDuHSzABnbOMbwjqdmnLkw+ndwrGdTumIW13nMGvWkZAQJLL1Cz\n1X0lqb8LNAIECBAgQIDArwk0vUC6fnpc/xh6VFJXh05P7pMcnbws0QgQaLZATeO9aU8Xq0Dq\nvf+o5y1PCRAgQIAAAQLNH2L3rJzk3ZOXJDdNbpPcLakZrJ6fvCrRCBBopsDvpltnJFUQ7ZZs\nm9y98zoPGgECBAgQIECgfQKfSJdrKt/+ySi2z7K6ilQzelUR1W13zpNa9qLughk9HtrZ7zYz\n2p/dtFPgsHS70vRWV41em1yZvCI5Jjkn+cfk0qTuQdIIECBAgACByQnUJEj1b+i613fpW3/h\nsPQd6utA/db4s0n9Q6m3XZAXByf13iuTHyb1pZEagSYL7NDkznX6VpOs1AQMN0jum9T/4/X3\n3IuT5yU1k9/liUaAAAECBAgQGCjQ9AKpCp8HJDUr3WV9AnWT9oOTLyT/kdRQnEsSjQCB5RTY\nNIf9lqQe75Scl1SrX5D8VfKRpK4gaQQIECBAgACBoQJNn6Sh7j2o4XQvT3YdoFBF0W8mFyUf\nTh6SaAQILKdADY2tGSrr3qNucdTbk8/nxbG9CzwnQIAAAQIECLRNoK4cfTupMZFXJb+fDGp1\n71H9g6rWq7w4mWU7NDur/boHaZbq7dvXxnS50sRWv9yoK0UPbWLn9IkAAQIECCy4QKPuQWr6\nFaQaVrd/8k/JackVyaD2jSy8a/LRQW9aRoDAQgvU1eEaWve3yfsX+kgdHAECBAgQIEDg/2/v\nTsBlKes7AbNd2RQEERTEBYPghgJxAQIiLoiKEhcQHZXBQUVRMyGJmTG451EMmhgnOBgdrxug\nCOKCoD4CYnAX3AIoCoiIsqhsEnbn98dubtH2uffcc/v0UvV+z/O7XVVdXfV9b3Wfe75TVV9P\nmcB8OoQ1DHh9Yew4izNI49Tu7r6WpumVtpU3pUHnJPP5fLet7dpDgAABAgSmQaBVZ5DWmgbR\nMdbhtnns69vzWMcqBGZR4NxZrPQK6lydov+e1BDe8/l8r2BzniZAgAABAgS6LtC1DtI4j/eO\n2dmSee7wAfNcz2oEVkWghrRvW3lKGrRZ8uG2NUx7CBAgQIAAAQLTIHBwKvH95OWrWJkH5vV1\nw3h/0If5PhqkYRXhvbxzAiekxR/vXKs1mAABAgQITJeAS+ym63iMtDb1l+jtknpclfKzvLhG\n0Ftznhs5MOsdOc91rUaAwB8F6nO6d7IXEAIECBAgQIDAqARcYndnyfdmtv4ifdmdFy9ors4g\nVeZT5rvefLZlHQJdETggDf1FUt93phAgQIAAAQIERiKgg3RnxuoYjaJzdOetmiNAYNQCq2eD\nL0k+kNQlrAoBAgQIECBAYCQCXewgbRS5DZO1k+uSq5LfJwqBtgvs12vgx1vQ0OenDVslH2xB\nWzSBAAECBAgQIDB2ge2zx/cnlyfDBkyoe4aOSu6ZTKL4HqRJqHdvn0vT5Mosl0em8l9I6rLU\nt8xyQ9SdAAECBAi0SMAgDTN2MF+f+tYXSVa5OPl68tukzh7VmaSNk/smL02enbw6OTpRCBCY\nLoFDU513JCclNZhKfTmsQoAAAQIECBAgsBICz826dcbo5GSH5byu7mfYLakvia31d07GWZxB\nGqd2d/e1NE2vzGJZL5WuP2y8ahYrr84ECBAgQKDlAq06g7RGyw/WPmnfBUk9nrWctlan6Izk\nycm1yYsShQCB6RF4QapSn9O6VFYhQIAAAQIECCyaQNs7SHUZTl1Sd+M8BX+X9X6QbDHP9a1G\ngMB4BA7Jbqpz9F/j2Z29ECBAgAABAl0VaHsH6Vc5sDsmS+Z5gGuEu+pUnTfP9a1GgMDiC+ya\nXTwsqe8pUwgQIECAAAECiyrQ9g7Sh6K3bXJ88pjlSNY9SPVL2ClJ3etwYqIQaJvATWlQZdZK\n3Xf0ueSiWau4+hIgQIAAAQIEpk2gOj7/M6nvOar7Fy5JvpHUKFjH9B7rErxLk3r+5uQ1ybiL\nQRrGLd7N/dWIjZVZKpunsvW5fNIsVVpdCRAgQIBAxwRaNUhDV47dVmlodYh+mVRHqJnqPJ2f\nHJFsmUyi6CBNQt0+Z0HgzankuUn9sUMhQIAAAQIEplNAB2k6j8u8a7VB1qyO0NZJfQ/SNBQd\npGk4CuowbQLPSIWuT+rzoRAgQIAAAQLTK6CDNL3HZmZrpoM0s4dOxRcocL+8robfn6scmCfq\n0rrD5lrBcgIECBAgQGBqBHSQpuZQtKciOkjtOZZaMj+Bf8tq1yT1A3Ww/F0W3JK8dPAJ8wQI\nECBAgMBUCuggTeVhme1K6SDN9vGbldo/MBWtTLrU/USXJnUv4J4Dlan61fJ9B5abJUCAAAEC\nBKZXoFUdpLYP8z29byM1IzB+gddll5VJl51Sgc2Ss5O6z6hZ9stMfQ/ZJ5oLTRMgQIAAAQIE\nxiWggzQuafshMHmB+rxPw2f+2anH15IPJHsnzfK8zBzbXGCaAAECBAgQIDBOgWn4ZWmc7bUv\nAgQmL/CsVKG+vPmzSY0ouX1S5SHJwxMdpNJQCBAgQIAAgYkI6CBNhN1OCXRWYIe0/P7JCcnF\nyfeS/mV2dfao5n+cKAQIECBAgACBiQjoIE2E3U4JdFagLq/7dlKdoyqfSZodJGePbmfxDwEC\nBAgQIDApAR2kScnbL4FuClQHqc4e9cunM1FnlZ6ZbJ18PFEIECBAgAABAhMTWGtie7ZjAgTG\nLVDDZ0+yPDQ73yap+4/65axMXJIcmXwjuShRCBAgQIAAAQITE3AGaWL0dkxg7AIfyR4/PPa9\nLtthDc7ww+T8ZYtun6rBGjZPXF43AGOWAAECBAgQGL+ADtL4ze2RwKQETs2OT5vUzrPfpyV1\nSd1gOTELbkmOG3zCPAECBAgQIEBg3AI6SOMWtz8C7RNYPU3abgXN2ijPPyr5wpD1vphldf/R\npUOes4gAAQIECBAgMFYBHaSxctsZgVYK7JdWnZ1ssZzWPTHPXZfUfUbDykXDFlpGgAABAgQI\nEBi3gA7SuMXtj0D7BA5Jk+pnyd7LadqT81xd3leX0ikECBAgQIAAgakV0EGa2kOjYgRmQmD7\n1HKX5CtJ//uMhlW8OkjDLq8btq5lBAgQIECAAIGJCeggTYzejgmMXeCI7LEyylJnj2rwh8OT\nPZK7JoNl2yy4b1L3GikECBAgQIAAgakW0EGa6sOjcgRGKrBJtlYZVdk4G9o/+T9JdZLq8rk9\nk8FSZ48uSH42+IR5AgQIECBAgMC0CeggTdsRUR8CsyPwklT1iuQzyY1JXUI37DI7l9cFRiFA\ngAABAgRmQ0AHaTaOk1oSmDaB+tnxiuS9ya29ylVHqb7raM3efD3cJdk9cXldEBQCBAgQIEBg\n+gV0kKb/GKkhgWkUeGoqda/k/Y3KnZTpuyc7N5bVAA5rJ3UJnkKAAAECBAgQmHoBHaSpP0Qq\nSGAqBZ6VWn0+ubJRu5r+etK8zK4ur6vvPromUQgQIECAAAECUy+ggzT1h0gFCUydwOqp0V5J\ndZAGS11mVx2khyU1st3LEsN7B0EhQIAAAQIEZkNAB2k2jpNaEhiFwLnZSGVVyw7ZQF1ed/KQ\nDX06yx6U/DB5fPKG5J8ThQABAgQIECBAgMC8BQ7Kmn9I1p/3K6xIYHICh2XXZy9n98/Nc/Xd\nRwoBAgQIECDQDYEalKl+l92pDc1dqw2N0AYCBMYqUAM0DLu8rl+J4/oTHgkQIECAAAECsybg\nErtZO2LqS2CyAvfI7h+dLK+DNNka2jsBAgQIECBAYBUEdJBWAc9LCXRAYLO0sflz4imZvzqp\nkekUAgQIECBAgEDrBJq/+LSucRpEgMBKC9w7r3hb8uWkhu3+dXJM0v9ZUZfX1ah0/S+HzaRC\ngAABAgQIEGiPQP+Xnva0SEsIEJhLYL88URlW7paFb07OT56WfCs5JKnhvOu7jN6TrJnsmbi8\nLggKAQIECBAg0E4BgzS087hqFYFhAtXZqfLxPz7c8e/WmfpqclPyiuSjyW1Jvzw9E19K6uzS\nRskpiUKAAAECBAgQaKWAM0itPKwaReB2gTrjU99D9MgVeLwpz9eZo/r+og8nzc5RZlc7M6mh\nu/dOvpNckSgECBAgQIAAgVYKOIPUysOqUQRWWycGde/QPkkNtFBnhoaVbbOwLrt7QnLDsBV6\ny07K47NXsM5yXu4pAgQIECBAgMBsCOggzcZxUksCKyOwYVb+TPKA5KikOj9zlfrS17q87vS5\nVmgsr20qBAgQIECAAIFWC+ggtfrwalwHBeqyulOTOoO0c7Jx8rLkPslgqbNHz0uW14EafI15\nAgQIECBAgECrBXSQWn14Na6DAnW/0Q7JlsklyS+TumdoWCdoZc4eZRMKAQIECBAgQKD9AjpI\n7T/GWtgtgd3T3HOT6hxV+UNSZ5Sqg9S8x8jZo4AoBAgQIECAAIFBAR2kQRHzBGZbYPdU//SB\nJnw58zWa3XaN5a/N9H8kpzeWmSRAgAABAgQIECAwFQIHpRb1l/71p6I2KjGrAjVs/1XJvgMN\n2Crz9f6qs0ZVNk9uTOoLYRUCBAgQIECAwKoK3CUbqN81dlrVDU3D630P0jQcBXUgMBqB7bOZ\nGsHuKwObuyDzFyX9+5Bek+n63qPPJwoBAgQIECBAgEBDQAepgWGSwJQLvDX1e8ty6rh7nqv7\njy4bsk7/PqQN8tzLkyOS+kuPQoAAAQIECBAgQGDqBFxiN3WHZOoqtF5qdHXy22TtOWr32Sw/\nco7n9s/yem3de1Qj29WpcIUAAQIECBAgMAoBl9iNQtE2CBBYKYH9svatSf0AevqQV9bZ4F2T\n04c8V4vqDNJGyRuSdyc3JQoBAgQIECBAgACBqRRwBmkqD8tUVerM1OZfk48knx5Ssx2zrC6Z\n22zIc/1FdQapBmeo+5QUAgQIECBAgMCoBFp1Bskw36N6W9gOgcUTeEg2vXNS9w7dKzkp2SS5\nMumX3TMx1/1H/XV+konVk7pUTyFAgAABAgQIEBgiYJCGISgWEZiwQA2k0Cz/IzPfSn6Y1Hca\nXZE8L2mWx2Xm9OaCIdPnZVl1ohQCBAgQIECAAIE5BHSQ5oCxmMAYBf4s+/qn5EvJ5Umd4Tkq\nWTepU9YvSv49qXJb8rGklvVLfY53S07vL/BIgAABAgQIECCwMAEdpIW5eRWBUQjcMxt5T3JO\nUh2cs5K/SvZJnpJ8J3ldUqPWHZv0y4cz8ahk2+TuyTuTOus0+P1HWaQQIECAAAECBAgQmD0B\ngzTM3jFb1Ro/OxuoM0XVOdp7yMY2yrJPJjXwQv/sUXO16kydkfwm+WlS21tRWZoVKgoBAgQI\nECBAYJQCrRqkYZQwtrVwAR2khdvN4iuflErXaHKHJWuuoAHPyfNbDlnnFVlW9yK9Olky5Plh\niz6YhRWFAAECBAgQIDBKAR2kUWra1u0COkjdeSPUpXHXJm8fQZNX1Lka3MUeWfD4wYXmCRAg\nQIAAAQKrKKCDtIqAXv6nAjpIf2rSxiXbpFF11ucDbWycNhEgQIAAAQKdFWhVB8kgDZ19H2v4\nBATelX1+N3npBPZtlwQIECBAgAABAvMQ8EWx80CyCoERCNQoc09MnpHcOoLt2QQBAgQIECBA\ngMAiCDiDtAioNklgiECNVHd9cuqQ5ywiQIAAAQIECBCYEgEdpCk5EKrReoEahvuzyc2tb6kG\nEiBAgAABAgRmWEAHaYYPnqrPjMB6qemeyfETrvER2X9FIUCAAAECBAgQmEPAPUhzwFhMYIQC\ne2Vb9YWvXxjhNheyqU0W8iKvIUCAAAECBAh0ScAZpC4dbW2dlEBdXvf55IZJVcB+CRAgQIAA\nAQIE5ieggzQ/J2sRWKjA2nnh05JJX1630Pp7HQECBAgQIECgUwI6SJ063Bo7AYEa2ru+PO2k\nCezbLgkQIECAAAECBFZSQAdpJcGsTmAlBfbN+l9MrlvJ11mdAAECBAgQIEBgAgIGaZgAul12\nQmDdtPJdyQuSZ3aixRpJgAABAgQIEGiBgA5SCw6iJkxE4CnZ67bJvwzZ+8Oy7Nhkg+TxyVeT\naSjnTkMl1IEAAQIECBAgQIDAigQOygo1DPT6K1rR84siUGd7XjTPLdf9RHVm6NZeds9js2yT\nmbqc7oRko+YTpgkQIECAAAECLRWo34/qd9mdWto+zZqAgA7SBNAbu3xhputDvXNj2bDJrbLw\nu8mvkicl70vOSZYkVeqM7DeTGtJbIUCAAAECBAh0RUAHqStHeozt1EEaI/aQXR2XZdVBOnrI\nc81FdVbozGTT3sKN83hF8ve9+cPy+Jvk3r15DwQIECBAgACBLgjoIHXhKI+5jTpIYwZv7K4+\n0NckH0huSu6VDCurZ+GVSQ260CwHZub3yV8m9fr9EoUAAQIECBAg0CUBHaQuHe0xtVUHaUzQ\nQ3azZ5bdmGyY/CR5QzKsPCQL6yzTfQeerI7Tf/SeO2bgObMECBAgQIAAgS4I6CB14SiPuY06\nSKMFf1A2Vx2X+ZQjs9IXeiv+VR4vTZb05psPL8/Mz5sLGtM1at2pybQPylBnt5zhahw4kwQI\nECBAgMBIBFrVQfJFsSN5T9jIFAlU56iGsz5innXaO+t9prfuB/NYQ3M/qzfffNg1M3MN1/2j\nPLdH8rvmC6Zweq/UqaIQIECAAAECBAjMIaCDNAeMxTMrcGhqfkHyyqQ/eMJcjdkhT9wn6XeQ\nrs70R5JDksFSHaQzBheaJ0CAAAECBAgQIEBg9AL9S+wuy6aH5W1z7LKGkx62fi2rsxrDysFZ\nONdravjqXYa86P5Zdkky1+smUb/npD6nJDW09v2Tqt/lyW1Jncm5qjddnZ656lf3HNXACs12\n1UAMda/RT5N+uV8matmDk4OT5vrN6Wn3uz51PykZLPfPgmk7vs06qt8yjVl+/03750P9lv1s\na/v/H8s+Ucv+/2j+LG9Oz/X/R5f//+XXFFg23fWfz626xK5+uVSmR+BvUpUaMGCwfG9wQW/+\nTXmsX96HlRpuelipsyVzPVedi2H7+kWW11mVevMPK8NeU+stZv1ele3vlvxD8pak6vfC5LHJ\nXyfVoanL3qrzeV0yrFR7T0w+OfDk6zJfHaV+qbNHNX9eck0yq371w3vYZYDTeHxT1TuK+t1B\ncfvZzll9/83Sz5dl4qut5v23TKMt/38sa5Hj27RwfJdpLObvL8v20t73X7ONpgksWKB/Bmn9\nBW+hWy+8f5pbv2wdntyc/HlSdvWL40uTZqnBFW5Ijk1qpLp+2TIT1Ynaob+g8fjETNd2+53P\nozL9qcbzszq5NBWvKAQIECBAgACBUQq06gzSKGFsa+ECOkgrZ3dYVq+BGKp8NDkneW1Sl0Ws\nkwyWR2ZBnf25MHl78rnk0uTnyVzl7DzxL70na19/PdeKM7R8aepaUQgQIECAAAECoxTQQRql\npm3dLqCDNPcbYWmees7A03Xv0P/uLbt7Huv+mTqjVJfbzVXqDNN7k9OSdycHJlslc5Xn54m6\nNO9BSZ1pqrNUs17elwZUFAIECBAgQIDAKAV0kEapaVu3C+ggDX8jPD6Lq3NS983UaHNV6h6j\n6gzdt2Z6pS6Jq/sENu4vGMHjWtnGRck3kmuTmp/1Uj6jNJp1D/UnQIAAAQIERiOggzQaR1tp\nCOggNTAak1/J9DHJmcmXktWTI5NTk3GU12Qn1UH74jh2Zh8ECBAgQIAAgRkV0EGa0QM3zdXW\nQfrTo1Nnj25NtkkemNTlbnUfUA3EcEAyjnLX7OS3yfIu3RtHPeyDAAECBAgQIDDNAjpI03x0\nZrRuOkh/euDq7NFHG4tfnum6tO73yd0ayxd78qFj3t9it8f2CRAgQIAAAQKjFtBBGrWo7d3+\nXT11KVdbhvmuS+Hqnp3KmsmKyo5ZoUaXq+8bqtc2zx5l9o7yuUz9vzvmTBAgQIAAAQIECEyD\ngA7SNByFltWhTWeQHpxjU4MqVIevn1My/YhksDwgC45O6szQ95O6pO7C5CdJ8+xRZm8va+Tf\nirIwgbpUsaIQIECAAAECBEYp0KoOUv2FXyEwKoG69O1TyRnJO3obXTePNdjBWUl1ek5LHp5U\nh6nOGH0n+Yvka8nmyfOTPZM3JoOlOlLKwgVe13vpgQvfhFcSIECAAAECBAgQWHyBaT6DVB2c\n+Xakj8+6P042GEL2uCyrTtAvk5OTuqRur0QZn8DS7KqiECBAgAABAgRGKeAM0ig1bWuqBTZN\n7b6b3DM5J/lBUvcBVUeoLp9rltdmps78PCa5pvlEb/oredx5yHKLCBAgQIAAAQIECEyNgPs5\npuZQTF1F6qzRJ5JfJ/skxyZrJx9JvpnUGaFa56nJMck/JnXp1n8mCgECBAgQIECAAIGZFJjv\npVMz2TiVXiWBw/PqGuK6Rpi7OKmBFqrcN3lLcmpybbJOUmeVnp7018mkQoAAAQIECBAgQGD2\nBHSQZu+YjaPG+2YnNbBCXTJXnaNmqfkXJ+9Mdkg+nfwuUQgQIECAAAECBAjMvEAXO0gb5aht\nmNTlYtclVyX15aNdL0sCUJfLvTDZO6kRz76czFXqfqSKMjsCg/eNzU7N1ZQAAQIECBAgQGCk\nAttna+9PLk/ql8TB/CzLjkpqMIJJlIOy06rTpL4otkaTuyK5Pql7jYwuF4QWlj3SpvoSXoUA\nAQIECBAgMEqBVo1iN0qYad3W61Oxfofo55muoabrnpnqCNRw0zXgwK+SWufKpL6HZ9xlkh2k\nOmN0c/K2ZNjw3OO2sD8CBAgQIECAAIHZEtBBmqHj9dzUtTo+1RGq+2XmKqvnid2Sbye1/riH\no55UB+nQtPWW5JWJQoAAAQIECBAgQGAhAjpIC1Gb0Gs+lv3W5XN1v9F8St2fdE3yf+ez8gjX\nGVcHqc6m1f1W/dyY6RqQQSFAgAABAgQIECCwUIFWdZDaPkjDdjnKX0+qIzCfUqOx1cADW8xn\n5Rlcp+7D+k6j3tV5/HFj3iQBAgQIECBAgACBTgu0vYNU9xbV9/gsSeo+mxWVOoNUnaoasKGN\n5dI0qqIQIECAAAECBAgQIDBEYI0hy9q06ENpzLbJ8cljltOwugdp16S+6HS95MREIdA2gSPS\noIpCgAABAgQIECAwh0DbzyAdnXZvmrw1qe/2+WVySfKbpO41qlHbNk7ul9w7qQELauCCMxOF\nQNsENmlbg7SHAAECBAgQIEBgYQJb5WXHJNVBqlHqmqkBC85P6i/rWyaTKAdlp1WnSX0P0iTa\nbJ/jF1iaXVYUAgQIECBAgMAoBQzSMErNMW3rguxn/96+6qzRhsk6SX1x7NWJQoAAAQIECBAg\nQIAAgdXafondsENcl9ZVFAIECBAgQIAAAQIECNxJoIsdpDsBDMwcnPmXJ+9NVuW7kO6T19fA\nEHW6cT6l7oOqUpfZKQQIECBAgAABAgQITEhAB+nO8Jtltob5rsdVKVfmxR9OlsxzIw/Meock\nNUiEQoAAAQIECBAgQIAAgakQGFUHaWUbs1NeUGeP5nvGaWW3b30CJfDaXmgQIECAAAECBEYp\n0KpBGkYJY1sLF9BBWridVxIgQIAAAQIECExWoFUdpC5eYrdR3j81it3ayXXJVUkN9a0QIECA\nAAECBAgQINBxgTU60v7t0873JzWs92+TC5PzkkuS6iT9LDkquWeiECBAgAABAgQIECBAoLUC\nr0/L6v6eys+TryWfS45NTk6+mfwqqedrcIXnJ+MuLrEbt7j9ESBAgAABAgQIjEqgVZfYjQpl\nWrfz3FSsOj7VEdphOZVcPc/tlnw7qfV3TsZZdJDGqW1fBAgQIECAAAECoxTQQRql5iJv62PZ\nfl0+V/cbzafU/Un1JbKr8h1I89nP4Do6SIMi5hdDYL9stKIQIECAAAECBEYp0KoOUtvvQarv\nNPp6cuM83wG/y3o/SLaY5/pWIzBLAnulshWFAAECBAgQIEBgDoG2d5Dq3qIdk/l+YWudQapO\nVQ3goBAgQIAAAQIECBAg0DGBtneQPpTjuW1yfPKY5Rzbugdp1+SUZL3kxEQhQIAAAQIECBAg\nQKBjAm3/HqSjczw3Td6a7J38MqmhvX+T7SLlLQAAD9NJREFU1L1GGyQbJ/dL7p3ckhyanJko\nBAgQIECAAAECBAgQaKXAVmnVMUl1kGqUumbqS2LPT45ItkwmUQzSMAn17u1zaZpcUQgQIECA\nAAECoxRo1SANbT+D1D/wF2Ri/95MnTXaMFknqS+OvTqZllJvrsUuSxZ7B7Y/tQL9z/v6U1tD\nFSNAgAABAgQWQ+DmxdhoY5vj+B22sbvFnez/wrS4e5murdeldZVpKv037bXTVCl1aa3AC1rb\nMg0jQIAAAQIEJilw0yR3Pqp91+AEynQI/Hmqsdhnd96Yfdw1WZoo3RM4oNfkpd1ruhZH4ICe\nwtLeo4duCRzQa+7SbjVba3sCB/Qel/YePXRL4IA097rkjcliluocfXcxdzCubXfxDNK4bFd2\nP99Z2RcsYP0a9rzKv//xwb8dE9il117Hv2MHvtdcx7+bx73fase/L9HNR8e/m8e93+r+8a/v\nBlXmIdD2Yb7nQWAVAgQIECBAgAABAgQI/FFAB8k7gQABAgQIECBAgAABAj0BHSRvBQIECBAg\nQIAAAQIECPQEdJC8FQgQIECAAAECBAgQINAT0EHyViBAgAABAgQIECBAgEBPQAfJW4EAAQIE\nCBAgQIAAAQI9AR0kbwUCBAgQIECAAAECBAj0BHSQvBUIECBAgAABAgQIECDQE9BB8lYgQIAA\nAQIECBAgQIBAT2AtEp0SuKlTrdXYQQHHf1CkW/OOf7eO92BrHf9BkW7NO/7dOt6DrXX8B0XM\nE2gIbJzpitJNAce/m8e932rHvy/RzUfHv5vHvd9qx78v0c1Hx7+bx12rCRAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAg\nQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECBAgQIAAAQIECMyCwJqzUEl1XGWB\nOs47JY9Obkl+myjdFNgnza73wxXdbH4nW71eWr1Dskty9+Sa5MZE6YbA3dLM+vm/fXJ1cl2i\ndFNg8zT7icnlyX91k6BTrd4grb1XUj/3B7Mky65PFAKdFdg6LT83+UMj/5npLROlWwIHpbn1\nPji0W83udGtflNZfljQ//9VBenWnVbrT+P3T1PpjSPP4fy3zm3aHQEt7AvWHsTr29V6oDrPS\nfoEj08TmZ785fXT7m6+FBOYWWD1PnZHUL0T/LfmzpH5Jrr8a/DxZP1G6IfDMNPOmpH5A6iB1\n45g/Kc28Lbkw+V/Jw5LqGJ2X1PvghYnSXoHd0rS6YuD8pH7u1/F/Q1JnDmrZ2onSHYHXp6n1\nua/oIHXjuFeH+Nrkn4ekfidUCHRW4OC0vH4YvmxAoH8mYXD5wGpmWyBwj7Tho0m9D27oPeog\nBaID5bS0sY77kwfa+qje8jqTrLRX4HNpWh3/pw008YO95dWBVroh8Og08+akLq2r94QOUhBa\nXtZI++py2tNa3k7NI7AggW/mVfVLcV172ix1XWr9FfHbzYWmWylQ74H6D/ETSV1uVdM6SEFo\nean/HL+VVCdo2L2mdRapzi4Mey6LlRYI1B/CDk/qSoJmqTOH9XPAZZZNlfZO15Uidcbwq8k/\nJXXsH5so7RbYJs2rY13HXCFAoCGwJNM3Jj9oLGtOnp2ZuuSq1lPaK1DXINdNuVWekegg3U7R\n6X/WSevrZv2fdlqhm42vztIJSf0ceGg3CTrX6velxXWZ/QOStyc6SEHoQNkvbaxj/bxk5+RV\nyYuT6jgpBDotsGlaXx+O0+ZQ+HLv+c3neN7i9gnoILXvmC6kRW/Ii+pnQ51dULoh8JA0883J\nWcmtyd8kSvsF6t7T+qwf2GuqDlL7j3m/hW/LRB37n/Qea7pSn/93JWslCoFOCtSADPVhOG6O\n1tfyen7rOZ63uH0COkjtO6Yr26J984L6D7L+01x3ZV9s/ZkVeF9q3v8FqS63evjMtkTF5ytw\nr6x4RXJi4wU6SA2Mlk+ekvbVZ/6MZK/kPr3HH+Wxlv9DohDopEB9GOpDcPwcrT+h9/xWczxv\ncfsEdJDad0xXpkUHZOWbkl8nD06U7gjU/webJS9NfpjUDfs1rbRX4PNp2mXJPRtN1EFqYLR8\ncte0r84crjPQzuo4X5XckKw/8JxZAp0QqNOnNcTvaXO09vQsrw5UjXKmdENAB6kbx3lYK/tD\n/F6QJx80bAXLOiPw0LS0fvZXR0lpp8Ar06w6xnUfynqNvLO3fPfessEBPLJY6YDAcWljvT9q\nRFOFQCcF6i/F35+j5TV4w+8To1jNAdTCxTpILTyoK2hS/QL07qT+M6xR7eosgkLgGyGo98R9\nUbRS4NTe8a1jvLy4Yb+Vh3+FjarBm+p98YQVrtnhFdyk1e6Df26a9xfJJsmVjabWKfe6xObr\nSd2PoBAg0D6BNdKkDyQHJHUfwguS6xOl/QJ3TRO/l1yc7DGkubf1ltX3pCjtE/hUmlT3mgyW\nXbJgh6TOINQfUH+XKO0TuFuadHpSIxnX74D9z3smby/b9h5/3Hv0QKBzAs9Ki+uvBH830PK/\n7y1/zsBys+0WcAap3cd3sHUHZ0F9/k9InCke1Gn//HfTxPoD2PYDTa0vCa3l9VUPSrcE3p7m\n1s+Ex3ar2Z1sbV1CW8d634HWVye5OkxfHlhulkCnBOovyOck9Z/hW5InJm/tzdcvTUq3BHSQ\nunO8697C+utw/QdZ/xHWGaRhqTMNSjsF6i/HNRjD5cnhSV1O87dJfQdW/WV5sOOURUrLBXSQ\nWn6AG82rz3v97ldXD9W9Z/X7X/2x/NrkN8l2iUKg0wJ1ed3JSf3FoH5ZqnwhqZFMlG4J6CB1\n53g/M03tf96X97hRd0g62dL6pei8gfdCXVr9iE5qaLQOUrfeA09Nc5vfg3RL5r+a1JcGKwQI\n9ATqmtQdEx0jbwkCBAh0S2CLNLdGrLp7t5qttQQIRODeSd17ViMaKgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBA\ngAABAgQIECBAgAABAgQIECBAgAABAgRuF1iTAwECBAgQIHCHwAaZempyl+SyO5aaIECAAAEC\nBAgQIECAwBQIPCx1+Ngi1WNJtvu3yX6N7W+X6T8k72ksM0mAAAECHRJYo0Nt1VQCBAgQmD2B\nT6XKuy1StffNdt+R3HWRtm+zBAgQIDCDAjpIM3jQVJkAAQIECBAgQIAAgcURWGtxNmurBAgQ\nIEBglQTqXqC/TOqxLoV7cXJhckZyj+TpyZlJnf15bnJ2cnKyU7JF8tHk1qRf6p6i/ZOLk9OS\nXXvJw2o7J7ckdbaqWWrb+ySPSC5K6nXnJAoBAgQIECBAgAABAgTGKrB19nZb8odeavqYpMqO\nSS3/x+Sq3nTN75Kc0ptfN4/NslFmap1+J+hjvfnm9rfJsv49SLWdc3vr3Nh7rE7UcxKFAAEC\nBAgQIECAAAECExE4P3v9xcCe+x2km7P8k0mNOndob535dpBq9Rck1UF6Sc30Sr+DVMtPSLZK\n1kmen9QZqWuT1ROFAAECBFoq4BK7lh5YzSJAgEAHBGoY7urk1Bmez4+4vdUpq07RDb3tHp3H\nVyS7JFsmdameQoAAAQItFFijhW3SJAIECBDohsD308zqHC1GqW33O0f97Z/em6izSgoBAgQI\ntFRAB6mlB1azCBAg0AGBCxexjcPOEPU7Y75kfRHhbZoAAQKTFtBBmvQRsH8CBAgQWKjATct5\n4eB9QndbzrrDnqpBIRQCBAgQ6KCADlIHD7omEyBAoMUC/cviamCFZnlgc8Y0AQIECBCYS0AH\naS4ZywkQIEBgGgRqpLr1V6IiV/bW3WPgNQf05ptnlmrbVVZm+398hX8JECBAoLUCOkitPbQa\nRoAAgVYIXJ5W1HcYfTA5cB4tOq63zr/l8XXJAcmJyZOTGqK7WWrbVQ5JDk9qdDqFAAECBAgQ\nIECAAAECUyvwuNSshvOu7yX6Ua+W/e9BeldvfvDhVVlwTVKvqXuJzkrqEruLk/4XxWZytfqq\ni2OTOpNU69aXwPa/B+k9mR4sh2VBrfeEwSfMEyBAgAABAgQIECBAYJwCm2Vng/cVLW//dYXE\ng5NNlrdS77l187jpPNazCgECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBAgQIECAAAEC\nBAgQIECAAAECBAgQIECAAAECBAgQIECAAAECBGZQ4P8D8G78h/79Yl8AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "truth = seq(0, 5, length=201)\n",
    "power_truth = c()\n",
    "for (i in 1:length(truth)) {\n",
    "    power_results = rep(NA, B)\n",
    "    for (b in 1:B) {\n",
    "        power_results[b] = simulate(limiting_mean=truth[i], test_val=1)$test\n",
    "    }\n",
    "    power_truth = c(power_truth, mean(power_results))\n",
    "    \n",
    "}\n",
    "plot(truth, power_truth, type='l')\n",
    "abline(h=0.05, lty=2)\n",
    "abline(v=1, lty=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using this lower bound fudge to the intervals makes the test slightly more anti-conservative if the test value is near the `lower_bound`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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pmkb0pqVOWnJ8cmFya/nSxUatTllyUn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\nAAECBAgQIECAAAECBAgQIECAAIEtKPA/8tRjWc6NoqIAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "truth = seq(0, 5, length=201)\n",
    "power_truth = c()\n",
    "for (i in 1:length(truth)) {\n",
    "    power_results = rep(NA, B)\n",
    "    for (b in 1:B) {\n",
    "        power_results[b] = simulate(limiting_mean=truth[i], test_val=1, lower_bound=1)$test\n",
    "    }\n",
    "    power_truth = c(power_truth, mean(power_results))\n",
    "    \n",
    "}\n",
    "plot(truth, power_truth, type='l')\n",
    "abline(h=0.05, lty=2)\n",
    "abline(v=1, lty=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If the `lower_bound` is larger than our test value, it gets conservative."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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kyN67f727Wu5ipMgAABAgQIECCwVoHr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\nAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "truth = seq(0, 5, length=201)\n",
    "power_truth = c()\n",
    "for (i in 1:length(truth)) {\n",
    "    power_results = rep(NA, B)\n",
    "    for (b in 1:B) {\n",
    "        power_results[b] = simulate(limiting_mean=truth[i], test_val=1, lower_bound=2)$test\n",
    "    }\n",
    "    power_truth = c(power_truth, mean(power_results))\n",
    "    \n",
    "}\n",
    "plot(truth, power_truth, type='l')\n",
    "abline(h=0.05, lty=2)\n",
    "abline(v=1, lty=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What if we actually do some selection\n",
    "\n",
    "Even these fudged intervals won't cover."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nD5Wq/Pa+avYgv4kqCblJeVXZSdlbOU4Uq0hT0l/aITNexln1F6xKZXGj1UE12U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\nIECAAAECBBYo8P8AksQ9exytskkAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "truth = seq(0, 5, length=201)\n",
    "coverage_truth = c()\n",
    "for (i in 1:length(truth)) {\n",
    "    coverage_results = rep(NA, B)\n",
    "    for (b in 1:B) {\n",
    "        coverage_results[b] = simulate(limiting_mean=truth[i], lower_bound=1, threshold=2)$coverage\n",
    "    }\n",
    "    coverage_truth = c(coverage_truth, mean(coverage_results))\n",
    "    \n",
    "}\n",
    "plot(truth, coverage_truth, type='l')\n",
    "abline(h=0.95, lty=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}