Source

pythonwise / hash.ipynb

{
 "metadata": {
  "name": "hash"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "nbuckets = 256  # Number of buckets"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 52
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "counters = np.array([0] * nbuckets)  # Counter per bucket"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 53
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def hash_index(s, nbuckets=nbuckets):\n",
      "    '''Hash string to a integer in the range 0..nbuckets-1'''\n",
      "    return hash(s) % nbuckets"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 54
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "with open('users.txt') as fo:  # Populate the counts\n",
      "    for user in (line.strip() for line in fo):\n",
      "        counters[hash_index(user)] += 1"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 55
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Plot the distribution over buckets\n",
      "xs = np.arange(nbuckets)\n",
      "plot(xs, counters, marker='o')\n",
      "plot([0, size-1], [counters.mean(), counters.mean()], color='red', label='mean')\n",
      "grid()\n",
      "xlim(0, size)\n",
      "legend(frameon=False)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 56,
       "text": [
        "<matplotlib.legend.Legend at 0x51746d0>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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48cEHwPXXh5+Xmhtef/11AAjNlxHBxhlaW1vZ6dOns7t37w79tmbNGvb73/9+\n6Njj8bAXLlxgWZZlDx48yI4ePZpta2tjP/nkE/a2224LXedyudg77rhDUH5/vPLcuSyr13PHNlsx\nyzkocv/y81eF3dvcTM5NnSpf/ocfsmxaGstOmBC5Lq+/Tsp76inl6/jtGw3mzmXZpUt7dSu7dese\nNidnpaBNcnJ+zm7duoe9+26WvfZaln36aXLt2rUsK/p0MUNjI3n2o4/uZgsKyP937pS+tqaGZYcO\n3cPabMVscvJq9qabitmtW/ewLMuylZUsm5NDrps4Uf03FyMvj2UXLCD/X76cZR94gLbTHhYQt9fK\n0PPl+tm0aQ+wNlsxe+utq1mbjauvFHbv3s1u3bqH1emkvwvLkv43fTrLmkws292tspF5yMkhbVVa\nyrIrVihf29nJsomJLDtpEst++mn4+fp6Ur+FC8nxu++y7NChLDtzpnR5S5aw7PjxLPuzn7HsnDnk\n3oYG0hf5bbR27W/ZBx9k2fnzI7/Ppk2knJ/9LPzc44+zbFJS5DL6imHDWPaKK/awM2ao+84sS8YU\nwLJ790qfjzQnqJk740ZCoUhLS0NRUREOHDgAq9WK119/He+99x527twZusZsNsNsJg7q06ZNQ05O\nDiorK5GVlSVQi9XU1CArK6vf6+zzcd5Aen10AUhq3VbN5sGLQ+GjLzYUcdTuF19wRvdNm8g78lVQ\n/aXyouqlMWOsOHaMe54UKipcaGurgMNBVEsffsgZrHNymJDK6/bbbThzphgdHdF7qHV18RMNAtOm\nMbjrLmDx4pfQ3PyW4Fq+bUPKU2zUqP9GXV06Dh1aw7tH3q5C+4FeD0yaZEcgYMCpU0JniA8+cOHL\nLx0AjCgo8OPxx6PzOItG5cX3CJNSKfG9tgDSXkOGKKu8kpKEaumKChd+8Ytw29OYMS6kp0d+LzVe\nXkobtvUVfj/Q2uqC2VyBffvU288iqbwumziUpqYmGI1GpKeno7u7G9u3b8fq1auxbds2/PrXv8ae\nPXtgoc75PdcPHToUBoMBJ0+eRGVlJcaOHYv09HSkpqZi//79yMvLw5YtW7Bs2bJ+rz9/EjSbowtA\nUhPZTsuNJttwLCPl+YjWhiLlhbRt29OoqAAWLOCM7lTlNRCEwte7+3zERVXunTZvdiAQkDZYP/cc\nRyg33cTggw+A9HQSq9Pdrd5DratLaEOxWMik8K1v7cKePeHX04UJn6CPHjXAYAhg+PBEHD78vGR9\n5eoSDAL+wGZfAAAgAElEQVSBAIOf/pRBYiLw5JPcdykvd2Hdugq0tpI22LMHqKmJLh0OP/VKpMDG\nSOQjJhSvV5lQPB6OUGh/2rhR2vbU1WXHjBnqCUXOKM+y8kGZsUBzM2AwOOB2R5dVIpJRPhaIC0Kp\nr6/H4sWLEQwGEQwGcd9992HOnDkYP348vF4v5s4lvvLUPXjPnj1YvXo1TCYT9Ho9NmzYgPT0dADA\n+vXrsWTJEnR3d6OwsLDfPbwA2rldKCx0wO83oq2tAaNGPYaGBm5gy61W1Ugofj8xUsZSQuHr9aNB\nNBKKkhcSwAg69mAQyhdfOOH3W5GYKE8oStKm2G04LY3Btm0Mvvtd4hGl1kNNbJTnkkNGXphQT7F7\n7yUTWW1tiWx9peB0OpGXZwXATTT8di8rc6Cujn4/GqvShLvu+jWuv/7/cOWVyRFdlXsjoURLKO3t\n0uXxjfKcVCP1TZ3w+w2qjfIJCUBlZbibeCBA2qG7u++EIucSfv48YDIZJdtHKauEmFDE5c+ePRwr\nVizvU53jglAmTZqEQ4cOhf1eWVkpef28efMwb948yXPf/va3cYzqMQYITU3Ej3/nTr7q4X5Mm/Yw\nDh8ejpkzA1i5Unq1KpYopDqRTkcy0KrxzhgICUXtRK/kJrx0KdPj0cR5sIkJRQ2B9gb82IRIEorJ\nJD+py0XKnz3LBT+qgVjlRYXxZctscLmKBStRuYVJdzed6KLPNkC9kuhffruHx6rkA6iA378Bx44B\nx45FVrXQyHSzisBGtYTCVzsNGUJW7VLweAih8N2GzWbpNtLpAqrdho1GFz78sALt7cLFEgmNI307\nLU2+jEjxQ0qLsaQkBmazX3I+UPrOfJWXVPnHj9+LSZNcfYr7igtCudTR0OCA2I+/oWEjvvUtO1i2\nBGVlwLe/LX0vXe34fPKdaMECwGxm0NERuS5q3YYHwoYSaXVP/k8m48GQUDIziQ0lMVG+vf7jP2w4\ncKAYXm/4pK5EKOPGqasLy8pLKEVFDK67DjAa7WhpUQ70dLvJv8ceiy49h9VqBXWEpITCb3eOoGgf\nV45ZkUJvbShqJJRINhSPh7g88yWUe++1oa5O3EYODB1aoFpC8fsd8HjC28HrtUMsfYuhJn5IejGW\nj8WLX8LIkbvAsg1ITn4MnZ3hWhA5suJLKFLl19W92edErBqhxACcy6gQnZ1E/FTqpIEAt0KWW9Fv\n3WpHQgKjOvWKmpVgbxENoSitlung7u4ePEKh2w4oqbxmzGBw9dXA2LF2HDhgwOjRAaxZQyb1vXvD\nCaWtjcRrqJUQvV7y7rRO/A22AOCqqxjcfz+DgweBffvk1Wjd3YSY+HaVmhoD6usj23IokVBjMr/d\nly2z4ejRYjQ00Oi56BN49lblpcYoH8mGIhWHcsstDLKySBu1tRnw0UcBvPBCAV58Ud0Y8/kAvV66\nHfx+0g5KsShKZDFq1P+ioaEVbrc4WpFIiM3Nb4WksSFD7seIEQ+jpWU4hgwh3xmALFl5vQxSU6nN\nrn8SsWqEEhNIzx4GA+mdSp2U5i3yeuU/stdrQEqK+sDGhITY5/Li6iJftnhlNHNmpuxqmQbJdXUB\nw4aRd+NLCgPh5XXyJLGhUKOtFHw+YMQIYhuZPx+4+25uUudLKPv2uXDypANz5hgB+NHSYgMQeaVH\nYmK4OvFVXgBRnXV1CdViUujuRkiCpXaVv/8dKCtTtuU4nU5kZFgBIKSC5PezoiIGixcDL7zwUs/z\no1epxdqGQuJOuOOUlMhG+QsXhJHytI2qq4GrrgISEpyhsiPB5wMMBuUxryShhI9zShYPo7m5AsAG\nEEmQj3AtSEfHRhiND8Ln86OtzYiyMgfOn29BVdVLguuoBDliBIO0NFI36cWeExZLoE/pfDRCiQFS\nU23o6ioG/4Pn5KzEXXcVYO9edYTS1SW/ojcYAlG5DctFGccCchKK/IZRWdi3z46zZw2orORWy3/4\nA7mGDryBtKHwV7mRJBR+pLx41Uwnv/JyF0pLK9DdXYoDB8i5urpilJdH9oSievALF4iB9+hRI376\nUz9WrSKDmEo+fLWYFPiEQiG1Q6EU+DYU4vElPD95MoPx44/j5Mkfobt7IYDwvq7kHh1rQqESB/9Y\naYOt5GSgsZFTL/Pfj++xpXbM+P1AdrYNZ88Wo6tL2A5jxxagpkZZQgkf51LqRBuE7Sw1VbvQ2moE\nsAaBAMn5ZrEslnym222A14sQoUi5nGdmvooZM25WcKSJDI1QYoCEBAY6HTBrlh0HDxowYUIAv/hF\nAQwGMpmoUXn5fPIZaOfMKcCXX6p3G1aSUISrjx1RZ7GVS08hp67bt8+ObduexosvAitXClf3gDyh\nqE2DIYaa1RUlhYwMa4jQ+5J6pazMgTNnSkX3qdsYrLMTMBhcaGzkYl327eNiXRITiT5ejYRCpR0K\nNYRitVrxwQdcGYFAOJEfOODCmTO1PWSyHUATgO8iKelK5OSMxNq18io1/q6WsSIUvkQZbRyKmFDo\nfTfeaO2RPJTrB5B6ZWcTR5lRo+y4eNGAffvIYulvf+O8vOQQPs6Nor8AJ93aYTJVw2DoliApB4CX\nBb+43aMln2mxBOD1AunppC/R77VyJXE5Z5gAnnjiIUVHGjXQCCUGIDv6MdiwgcEdd3B+/H/+Mzmv\nRkLx+4X67+PHDdDpSCetr2dw+nTfJZS+JhME5CWUSDrZ8+eFK2xahphQ6HFvVF5q34+fUFBOQqHE\nVFdnREODH+XlNpjNjCShnD0rmslF766Eri5Ar3fA55MexBMnMiGyUKvy4tcvWglFioQqKhy8gE2u\nHYcNs+Phh59WVKnxd7WMJg5FKbCRTyheL5CRQb6jVDChOA5FTkLxeEhZahIt+v2kzPR0ogo9dQoY\nO5aM+b/8hVyjJKHwx/nHHxvg8XzeI6mKVzUMAAZpaXbccstcHD0qXGyazdUSbWSDxbIUbjdHNGPG\nEAny5Zc5CYXW4/BhBkePAr//PXD99cCvf71Lss5qbStxkxzyUgafFDwerrPTxG1qjfIsi56tOp+G\nzVaCOXOeDmV7VRuHQgeNFKEIVx9OANElEwTkbSiR3FWbmrhBD0SWUHpDKGqTJXq9ZIKrqXHC7w/3\n8qLE5HCswfHjJWhqWoPlyytQW+sKI5SmJhe+/rpO8d2V0NkJGI3yZExVXvzgR+lryXn+e0hJG2I4\nnc7QN3C7OSmFD59Pbt1piOh5yLczxVJC4dtQLBb566nKi0oo4gBh+j0/+MCpWir2+UgdxIkpabYM\nIHLwIB3nkyeXYN68h3uSdFI1F4ecnJXIyJiLq69msG5dPvLz7UhOLsGECQ/CZJIKvmGQm+tHfr4d\neXklAOz4yU8KQl5eVEKhqKri6ut0Ovu8K6RGKDEAnZTEhEINz0qD2u8ng0GvF3bmjg6hfjdaG4rU\npN9Xzw66F4XUoOMy13IgunUSlEqzo4qzxdLOrdaGopTFWe37Uc8gORuKHDEdP749jFBOnXKgu/th\niCcC4KHQuyuhq0s+LsJiCQhsKJEkFL1eqPaKxoZiMHCux+J2lzNAJyQEVBEKVSPFKg5FbEMxmyMT\nEI1DkZNQ6A6eat2G5QiF3q8247DXC4weTcliOxITm5CScg/GjXsUgB3PPlsAgAlpMLZtexpG43fg\ndo9AZ+f/QIqAfvGL+7Bt29PYvLkEwNO4+mom9Ky0NODkSW4Mvf32KgCuUH0jjeNI0FReMQCVUHw+\n4fakaiUUgwE9GVG51Vx7O7cJjtRAUCpPTkIRrj6sof+pXX3QMqXqwRfjv/rKgM5OobtqUxO5zuMR\nEkc0EkoklZba1ZXHQzyDUlOlbShyxMSyBkG7EqnSCL6+GzAACMBgUKdG7OwExo2z4eBBaUP3V18R\nMlZjQ8nIIAuRnqQRqqQ8q9WKP/wBGDqUlGE0ht9zyy021NYWo60tfHdJuQh1iv6SUMT9yWwGtm51\nYdMmof3M42EEEoocoUyebJWUUKRscj4fEyYlAZxEmJSkPr2Jx8O5excVMcjLA5YtA8aPB2bMAG68\nkSxMab2CQeDiRQcuXuQveEi/Mxq/wLp1Pw71O3rP2bNcPRsbXfj00wqBM4HRWAynE1i50hr6je4K\n6fNFt8mdRigxQCQJJZINhT+AqMtoRweXuiEalZeShBKLPamV3ocOihUrgOPHhe6qVEIRxxFEQyhK\nBkO5ZIlS78ePXeB/Owo5YjKZAhI2FHotA759QadTZ8Ts6gLGjydxJjabHQ6HAfn5ATzySEHIrTWS\nlxed2NLThXaUaCSU9HROUhH3s+uuYzB7NuB22+F2k90lH3mkAGfPMjhyRLls/v7tsQpsFE/mZjPA\nsi6sWFEh2JisqqoYbjexb8rZUPgZCsQSitwC5qqrgLw8zp7GX2hRQlEroVBC4b+/x8N96+ZmksaH\nP6cYDEZePbl+l5hYIpj4pQjlyBGHgEzIM0vx97/bsXIluZeO48ceA86ciW6TO41QYgCqNvH5hHrs\n3kgoFO3tZBVNy1er8qKDRmqFxJciHI5qzJgxGsXF0e9JHSnGpaMjfDXd1ERUMpEIha8SE79vJJUW\n//327jVg7NiApAcSJZTGRid8PmuYhCJHTDNnFoQRyvXX25CUJLx2zJiVaGxUR9KdnaQuZjODP/6R\nwejRwLZt3Hm+DUVOQunuJguRIUOiJxRiQ7Fi6FAyCYpVr/Q9r72Wwa9+JWzHLVvCHQHE6IuEImeU\nF6u8EhIAt1t6l0vADouFkbWh0Prs30/6gjiPmdQCprPTDquVkVV5JSerl1C83nBCoapHAKiuFi5S\nz58nKlKp8llW+OGkCEWnkx5DHo8hLDYtkt1OChqhxAD8WBJ6DJDVBN1+VOleKRGfPynTgRCNhMJt\nmCQEXX2YTE6sXWvFrbdGLpMikoQiVXeAGOKbm4ERI4R5tAAhofAlKykJJZpkiePGAY8+Kr26oiov\nGpsg3m5WvN/7FVcE8OyzBfjsMyYkadE6XnMNWcm9+CK3er///gL813+pI+muLrKiNZtJfxHnAFNj\nQ6Hpa4YM6b0NZehQ4Nw5eUKR8htISelfQlHjNkwlFLmJUqczwGSKrPKicSj8c3ILmEDAoKjySk6O\nTkLhG8nFhPL119zvACGUq6+2wecTLmKuumolvF7hIsbpJMk833vPiPx8Py5csOGKK6THkF4f3lE0\nQhkE0EnebOYGM9/La9iwyIQiJ6HwCSUaG4rFQryPxJlQheKwNaL+W4xoCIU/GbS2kkHGjxeQMspH\nIpRoVHYdHfL1pBJKS4sVgPDbUVBiKiggOu3CQqCyUjipkySB3LUUUp5ScujqIm2TkEBUG3KEQiUU\nKddYmr5GLKGotaHs3k0I5cwZ6a2m5QhF/Dwp9IVQpJIfilVe1Iai18tPlAZD5DiUCROsoTQ4FHIL\nGJ0uIDDKi1Ve0UgoUiqvSIRy7bUMfvhD4SJmwYIC/PznwuSSL7xQAaAUbW0k6NFoLMatt2bhxIli\n+P3cGEpJWQmrtQBWq3AR1NUV/XbGGqH0EfwBQDsG7WCtrSQxXSSVVyQJxecjg5fup6e0cU8wCJw/\n70J1tbzxmu7Z0BdCUQogpHWn17S2GuH1+uHx2OD1kmtou0VjQ+FLDgcOGMCy8gbDjg551RwllK4u\n0u50BSuFujogM5P8Xy6wUQw6galBZ6eyhJKURK7p7uZSjojTossRSrQSilRySCC2hMJvP6k+5Pcz\nvZJQhg+3IRgsRnW1UPXY3FwQWqwFAvIqL6qqFucxk1rADBtWoOjlFY2EIlZ5UbU5lQykCGX48PBF\nTEsLsJyXeb6szIHa2nBbSVWVHamp+bjxRjtqaw04dy6AG28swLXXho8hTUIZBNABYzRKSyhjxkR2\nGxZLKIEA+Zh8e4LJRIgkEqEEAsDXXzvAz44LCI3XpFwn2tutUb0rHTgtLcreVh0dhNTE15w7V4wd\nO4BvfYvotFNSok+9QgcSwxC7jJRKKxgk30JuMqXR1S0tThiN1jDpkI/aWiGhiL28pALhlMoTo6uL\neGcpSSgXLhCpU6fjJlA+KKEkJ/fNhtLdzfUxfj+jKl0xlPYhoZCTUOQM3vPmAUYjoxjYKGVDycgg\ne8L8/e927N3biOTkViQkZMLrdeCjj0hiRL0+3IuN1ufwYSf8fqENhcv8S5wlZs4MoLi4AGVljCDd\ni5TKKxoJJVqV1/Dh4eXQnG9cudJTezBoAMuSgMx//AN4803gmmvI8zQbSj9BzV4F9Dzx0bfBZGJ6\nCMWFV18lesu6Oj8yM7lNd6TAl1Bop6HExFcP8WNV9ArRQ0T6UDZe04HQGwnFZAKamsI9RfiE1d5O\nrunsLBXdX4o//9mO//kfdYSiNBm2tgINDdLn6MCKpPJyu7nFgBQBuN2kjTIyyLFaCUWv51RHSt8K\n4CQUJUJpbia/B4McGfLRF5UXfc/sbOGqOhjk4kfkiLMvKi85g/e2bSQ7gJKEkpHBfS++2/D06Qwu\nXAD27q1AZ+cGfPklueZXvyruUU8yMBikVV5y0llREYOZMxlccQXw7LPALbcAzz8PRZVXW5sLhw87\n8PnnkZMrKhnlhw0jakgaMwUQQrnqqvByqORFUwXJqeuSkwOCbBRGo3DrBT40lVcMECnWQeq8Xl+M\nxkbg8GEAqMDXX5eGVhYnThTj0CFg0SLpDsWXUMQTPZ9QjEYyOUUyzAcCyptCAfQ5vbOhkIGkTFjE\nfiHvTULrmZqqjlCkCP7iRQYtLWRCofuHUND3omWJ79fpbLjxRgZerxUpKfKEUlcHXHklRwpyySGl\nQMuMtGsftaEoGeWbmoCRI4GLF12YN88BQDhR8Y3y0UooVqsVGzdyKi+ayYB6HwKcrUiMaAmFL+Ep\nZdZWGynPssLARq8X+MtfaKJFDtXVpUhIsEsSCn1GZqY19N5i0P5EFyo0Up5fB4D04YYGF06eJBtv\n1fUkUJBLbxQMkjLkCCU7m0inGRlAXR2xiX76qREjR/px3XVCktLpuPgXk4mo644dK0Z9Pb8t/hst\nLYlwu0uQn+/HDTfYYDQysFjIfeLs45qEEgNEinWQOh8MluLrr+04e5ZFeIrpUuzYYYdcKnMqofAn\ntY4OIcHQAS0VIyBGMAjceKMNNTXF4O+Fzjde858TDah7tNerTFikXOlraHpvtRKKHMGfPw8MGcKg\nsREYPVr4DPpecvcPGVKMK68kahAlCaWuDsjK4o7VSijkPZUJhZLcoUNGHD/uR3e3DS0tjCSheDxA\nMOhCR0cF9uyRygLL9NptGEBod0Ha38QehX318qLExCcJpczakQjFYuEWV1TlRb9Ne7u8qsdshiyh\n8PuMGGJCocZ9nY5cz1d5nT3rEOziCMhvQEbvkyOUrCzg6FHAZHLhxAmSzRog3ok0eSi/zORkUsfU\nVPL7Qw8Bv/sdCXpMSanFqVPpOHKEbMjlcACfflqMiROBadPI4kyM3hCKlnpFhEixDspR1NLnfL7o\nNh9qbycrxt5KKLm5DIYMIXl/Jk0qAWDHb37DGa85Gwq5RymdCR9eL10JK6dn6OgALJbwa5KSVqKo\naG7onVJSwlOviONQ5Ai+u3s7xo+XVnvxJwep+zs6SrF//3YATphMQvLmt8dDD5Wgqoprj2gIRSri\nnF8+zRXW1FSCI0fWoLq6AkeOuCSN8gCJjuYvEGg7vPjidkWjvNpcXomJZKK2WMInXbn3pMSjFMEv\np/KSS/Fhtc6NSChmM7cI8HqBf/3LhU8/XYWf/KQEjY2fS9YjEAiEFmVSKq8TJ5w914XfS13w6eKH\nLvBof+ATSiR1s/hd+OEGtGxqlKeLmZYWR4hMKKRy1IntKN/+NoO8vKdx++0lSEoaCeB5wfWNjaX4\n6qvtIZWX0+kUnNdUXjFApFgHpZVVMMjKnpODVGBjRwfRn164QI7FNhQlUPdbo5EY3v78Z2DBAmDW\nLO4aPnFFk4GYDgCvl8G6dcTb6tNPDUhPD4QIizoUWCzcNYcPGzByZADJyQWYPJnz8uKvcOUkFDkC\nNxgMyMxUJhQSdSy/AADC7VdS7UFXg1LZhuX2jlcyzEuRnMdTisOHw1exiYnkr9wOgW63AR995MJH\nHznw2WdGtLf7kZ9vCyUVVSuhUDKhhn81EopOx8W+yEli/HuphB0MCj32vvzSALebeOydOcPg+HHl\nbMOkf5N+3NpK9qJpairtScfigsHwIwQCvw/dc/XVK1FdXSBJKHQskE2npAlYSuVlMnELIFrGzp0u\ndHRIE5pUeiOauLKtjSNKKqGcOOHCkSNEvdnWVi1ZppikxIRC5xaiWpaX3CwWoLLShccf34jkZGdI\nndrZqW4HSz40QhEhUqyD1HmjcSVuuIHsQlhfL8zJlJpKch7JQU5CueIKEmgGRKfyEufyoqurixdJ\nmbQ8akOJpOLjg+qvW1o4b6sFC4BJkzhvK/6go9fMnQv89KfA5s3CwMaUFC4li1wcilIalJEjuTbi\ngy+hKC8QrCEJhT5XqT1+9jNGsGpWo/KSghzJeTwGSZUXwE/xIkR7ey22bKnA+fOlqK8nv1ECDAQi\nTwhWqxXFxeQ5iYmEJMREpPSe1NNr6FDp8/zUKzod188TErj+sXo1cOQI6UNlZZEDG/kSSlubA83N\n/O9F3/kejBgxASNGBPDEEwVYtIhRJJS0NCsSE9WrvPjR/IT4XFizpgJ+P00UGjlWitr/qGs4JZTq\naheqqipCudO83lWSbSsmKSVCCQal+4/RGMDnn7uwb18FOjq2hH6vqipGRweg1zMRPUsF5am77JsD\n/spp+3YDpk0LoKSEUxfRv7/+tR179hjwb/8WQH19AcaNY/DVV6SM0aPtGD7cgK+/DuDWWwswYYKy\nl5echNIblZd4YuYTCoXQ+B+diC4edFTtQNHeTvJC8b1Gzp0jUfL8VaffTwguktuwFIEPG/bf6OpK\nxI4dJXC5/LjySqGBki+hSN2fmEh20zxyJNx+paTyjJXKS47kgsFAGKHQjamuvdaGQ4eK4fEIJyqW\nNeP8eWkCvO46dStMvoSi15NJKRpCUbKjiO/lEwqF1ys9WSsRCpUqpVVMDEymXQBKsHkzcd0HSFtK\nqbwSE0m/tVik30VJQuEIxYGzZ8MTNqamChM2it+FtkNXFxk3gQDJYM1PxBm+e6M0SYkJhbZlSgow\nfjzZYTIY5MrIyFiJyZMLsGMHf78bApq2RqdjZL38pKARigRIhDRZ0djt4bEORUUMcnIYXH892YXQ\nbicfjnRGBrffzmDRIuDxx4Fx4yLHoUhJKGJCUavyEksolEj4hEImTxKHkpGhrOLjgw4+/sqbqJW4\n444Oslrlp35pbCReSmJCUWOUF6tGTp+uhd+fDrf7+VCOIrGBkk4A4vu/+sqA9vYARo4sAMMwMBqd\nMJmEcShKEk20hCInoUiRXHLySiQnF0iq0BITgZwcBhcvAkOG2HHsmAHXXhtAaWmB4oZIalReNA6F\n2lDoZlhqVF5A9IQCuPC97zkQDHKeal4vE5oIjx1zwel0YOdOI2pqyMZm/MnY6wUOH3ahvd2B733P\nCL9frGIi6UaCwWo0Nq7CmTM2jBtH7peTUIYMAaqrnUhMtArGCYXYhkLHo1DlxX9JLmHj6NElkmQC\ncC7PNIaN1ivcQ5LcP3ToArS1XQerNYBHHw0P6FWSUJKSyH7yeXl2fPABWShfd10BUlMZnDlD+5AT\n/CzkBoMBCQmknhqh9BH0w0ilfwA4z4y2NulIeRrRLCYBsQtrZqYNGRlMmIQydChdgfVOQqEujXIS\nitlMJt5f/EJ9OhM1EkpHB/EYArjrmptJMBbtnPQ+KaO8WEKhm44VFTF48EHgtddWoa1tjaBeYhWd\n2GOH3v/008A//0nakurhxRKKksozGrdhJZUXn+R27TLg5psDYNkCnDgR7uUFkIkiORm48koGP/sZ\ng//+b6JCJCoih+QzLJZAVF5eFgv5tnq9eqM8ENnTi39vebkLbncFdu8W2uuuvx7o7iYu+f/8ZwUu\nXAi3X9E2q6tz4eWXK+D1luKjjwDABaPxR/D7fw9CJiTdCK3/z35WjGeeAQB5ldeQIVyCTTmVFz8V\nDFVBC1Ve0h9bKkcWBVV56XRk7qCLQJaVKotBXt52OJ0l+Oc/pW13SoTS3AykphK76g03AC+9RJKQ\nNjUp24VJ4s3w2Cc5aIQiAzpI1BKKOFKeiub8Dixl8B02rBjf+Q5gMjECCSU1lZNaorWh0Kh6EmRF\nfqep9AFS3vDhVnR0CCe3jz4yIDMzgOeek05nQm0okQhlyBBusHV0cO+iJKF0dbnw4x870N5OEtl1\nddkAMIIAu7NnAZPJKKkK4avoqNu1eEL3+4mjQ3o6qUtSEmdDoWXy22P/fgPGjeNUnidOxEblRZ9T\nVERWjf/3f8BjjwEffig9USQmcsGPNPcTbbdly2z4+ONitLaGE+Dbb0dO12O1WgVeXlQt1B8SSlmZ\nQ6ByAchiwOOxY8gQ4pLPJxN6nr9YqKkR7wVCVDIWyz09Hkl/Drv/lVeI276clxdJa2SVTeTa3k4k\nbL5aji+hkD5hQ3Z2MWpqwnNkyYHOETSXHO2vaWkkjQw/eNhkIt90+3Z5aUGOUFJSCHFQxwna3+m3\n+cEPSMwKX52ambkSwWABdLroXIc1QpEBJQc1hEInJRr1TDuZySTswFIG3wsXSnHokB1TpjACCWX4\ncG5SjtZtmOrdfT5SPxIUx13j8xEJ6PRpckwnt3/7N+Duu+X3P5CTUMQqL5KOnTzn3DnyfECeUMrL\nXbh4sQJ795K2cTgAnY6sTINBRkAo6el+QcZfCr6Kjm4yJZ4cAgEu6pwOZLGXF789br0VeOopgMZ7\nxUrlxQeVDqhUqUQo9PmdnZw7Z1ERg1mzgK+/tuOKKwzYt4/Lb/b3v3PvLVdPfh0sFq6f9YcNRc4+\n5fcbemIeItvzpANmGWRk7EJNjXQdaDCtlA2FSig0Z5saQhG7DZPFCIOf/AR48kk7rr3WgIyMAIzG\ngga4K6oAACAASURBVJC6TbpenFG+q4vrL0Yjg/HjAaPRjiFDDAgEAqiqKsDtt5MFlty3UJJQaHAs\nKZ88i36bOXMYvPQScN11drS0GPDxxwHMn1+AnTtJ1guNUGKASBIKPS9WefG3lhVLKErpsE0m4OOP\nSdqWY8eMSE/3AyD65WjdhmnOIuIFQwL/xDYUnc6Jri6rID2I2y3/voB6lVdKCjfYGhuJQR4Qqrwa\nGlx4/nkHLl40YvHizxEIvCV4FssSo2AgQNJwsCzZG+L737dhyxZlAyVVu0klOaQZoEnW2XAbivh9\n+e6wvQlsVAKNlKaBeYCQUKh69OxZI956y49Ro2zo6iKuy3ynhyuvZPDd7zJ44AHSTwoKuPoByoTC\nt6EkJkrbGaSMsrRux44ZceSIH2lp0ulF+G2klL23q0vd9gRyqiWTKQBA2m0/MZHcryShtLQ4cc01\nVgDhKXPa20kfFhvlhSovYOZMBmPGMNi0CbjhBmJDVcrpRY3y1MuLcwwh6qk1a0jOuqoqwGbjiExO\n2lQilAsXuABgfjp/mnolIYHBihVBpKdbMXUqGSM0vUw0sSgaochArYTS3s6pvKh3FpVQxISi5ALb\n0ODC7t0VaGwkE2V9PUnp8t57gM/H9ElCERMKHRCJieQ96EZeaglFbJQXe3lRlZeUhEIlks8/5yJ/\nm5tLZJ5oQHm5C6+84kBnpxEejx+jR9sA5OPaa+1ISzPgxInwjMNUQhFP6PQ7NDRwnkJKkfK0nSik\nkkOqlVCk0sfMns2EdOjU24cSilg9+vXXQENDMfbuBQBGMMipykqvJ99SvG2C1CKE1ufcuRp4PDuw\nY4cNFgsTWrjw+5k49Yq4bvX10pHb4jZatsyG3buL4fMJFwOZmQU4eFBZfUeRlmbDsGHFPI8qFxIT\nX0JnZyaAdowa9RgaGp4Pu3/HDmWjvNvNaRTEhEKl/OZm4TsJVV5cjA29Vy5HFgU1yicnc4RCbRZU\nagSEEoWScVxJ5UVtlLQ8qvKikintT/T+6mpu58lLTkJxu9249dZb4fF44PV6ceedd2Lt2rV4/PHH\nsXXrVpjNZuTk5GDz5s1I67H4rl27Fps2bYLBYEBZWRlsNhsA4ODBg1iyZAncbjcKCwuxbt26XtWJ\nSiByHULKKB8IcKm1+Sov+kGkDL7p6Stx003EdY+SCUUwmI9ly15CILALjz/uh9ttQzAoL0KTe4S5\nwdragJkzwwllxAgr6uqEO0O63eH7gvBBCYWvl5dTeQUCLtxzjwN1dSR1fXm5DQkJxFOprEwc+Su3\nlK/F449X4NQpbvL4zW9eApAJozEZDzzwHTz3HBOmomtvl5dQAPJNzWYSeyCOQ+FDilB6Y0ORCx5d\ns4YEgNKyAY5Q5CL8d+4k9gB+v6SEAhBVZmurMqGE18eFH/zgJSQk/B+SkpIRDAoTmorfM5rYJb+f\ns4EVFTHIzASysuzo7DTgyJEAXnihAJs3k/cpLCRqxi++sCM9nZwXLxbMZgbFxcCjj9qRltaImhod\nurvf4rXH/Zg27WGkpAwPbVVcVMSExoQcoXi9VsECkP++7e1Abi6ZZAHA7Xbh+98ngaSPPupHcjKx\n91EnCEooNGZLDlTlRVOm0LpQlaaYUMT9UYykpPBMCVRCIW1H/oolFH4ur507yTVnz3KS0yVHKBaL\nBbt370ZSUhL8fj9mzZqFvXv3wmaz4dlnn4Ver8eKFSuwdu1aPPPMMzhx4gTeeustnDhxArW1tbjt\ntttQWVkJnU6HpUuXYuPGjcjLy0NhYSG2bduGggJ5w5gcorGh0FUuIK3yoqs9vsG3utqAmpoAZs8u\nwMSJDLZvF7t/Eo+VlhaiCvr4Y8BoLMbOncDYscpxLXo912mohLJ/P3cN7ZgpKcKMw+JU2mJQEZ2q\n3vjpLyg6OoD6ehdaWirgcgm9db7zHTKBhqv+wv3sgZXQ680CMgEq4PGQ9jhxAvjlL4t76itsj0gS\nCsCpmei3U4p5oOhNckhAfgLesMGOxEQmVB+AIxQ59Wh3N5md3W5OyjhwwIiTJ/1ITLRh6FAuLxN9\nvliqFdaHtCudlMkuo8XYtYvsdS/1nmpsHRTiezMyGPz2tyRm6957gdtuA155hSxQPB7gqqsYzJ7N\nYP58YOpUzp5H37W21og33iDqP6PRAUDo8dfQsBGTJ9uxbVuJ4HdKJlIqr2HDyP/FNk8Kvg2lvNyF\nQKACO3aQ9jtwAEhO5gJJ+U4kiYkIJYiUklC9XiZM5ZWcTNRTbjfXJ6IhlMZG7liOUMRG+cRETkKh\nxFxdDUycKJRe1CAuCAUAknpGktfrRSAQwLBhw5Cbmxs6P336dPy9x8r4zjvvYMGCBTCZTBgzZgzG\njRuH/fv34+qrr0Z7ezvy8vIAAIsWLcLbb7/dK0KJxoaSmsoNGrpPAp2MxHYPavD94x+B0lISdEU6\nu3iJHJ411e8vxRtv2PHgg9Kp9BMS/GhqssFgYMJUXg6ed+m+fS588MGr8PtzsGSJH6tWcVlrIxFK\nSopwFUclFFqPL74w4vz5z+H3C20iVVWlMJvtYBhGQvVH3mfYsHvQ1jYBs2YF4HIVQK/fxZsMw9vj\nzBmSRVaKUDIzpb28KMxmwO12Qmk/lEgSilwWXkBoQ1EiB7oKFROKnHqU7hv+xRcuvPsuJ2VcuEBI\nm6yKSXvISSjC+rwKYIvgvM9XijfftOOhh6QJRZ2tg3u2OLDR6+UyHPBtENQwTd266cpYLFG5XEBC\nQjHS06U7qxSx0YWDnIQCOGE2WyMSCnHTFvZDsk2DHcEgE6byoiQkJaF+61vH8fHHdTCZjDCbiaST\nkEDU2zTQktZdLaGIAxsNBvK7Xq8sodD9ULq6rACIhHLjjcLvoAZxQyjBYBDTpk1DVVUVli5dKiAT\nANi0aRMWLFgAAKirq8OMGTNC57Kzs1FbWwuTyYTs7OzQ71lZWaitrQ171pIlSzCmJ3w2PT0dU6ZM\nCaVupgnSOjqsSEsDTp92wulE2PnOTiIi19U5e1x1yXm329mzYyE5f/q0s2fFKLzf77eiq4uc9/mA\nKVNscLuL0dQ0t6eW9NM4e/5aAbhw6NC/MGXKEowcmY2ZMzPx6qsfoq7ugVD5ZvO9+MtfDsNoXN7j\nYupEYyNw8SI5/8wz67BhwydobSX37NvnxA9/+ApeeQVwuxlUV0u/r9Vqhc8HnD3r7FF1WZGQAFy8\n6ERr6xEsX97YM2CcAE7zWpurfzBowJkzTsyePRxOZzHIJmDkvE7nwIYNP8ZDDwXxwAPAvn0MAgEH\n736p9gD8/urQxkDl5S6UlLyKzz4zoLo6G2PG2OB0BkP1JxOFs6ediLqrpcWJQ4fI+4jf1+sFDh1y\noraWHBOSdmL3bmD2bCv8fuDzz51ISwtvL6ORPM/pdKKzs0qyPYzGAAIB0t5mM7n/2DEnLlzgq0fn\nhq5PT1+JlJSRAJw4enQH6upKBeVVVZUiPX0R/vWvIG67jXtflwu46y6ufsL6nIcwoI2URydlp5P0\nX6ORu3/27OE81S25PifHgUceKRC0H0CSLpJVMznu7HTik0+AhgZyvGsXd76ri/SvxETSHh4PeV5J\nyUZUVVHSI+V7PKW4ePEHEPcHwImurpNca/O+h9FIyiftQq4/d84Z2u/GZAKCQSf27AHuuIN73/Pn\niYq4qwtoaKiRbC/AgEAA6Ogg7zd+PHF0OH1auv5VVfk4e/aP8PnuCdV/zZpiuN2HYTRORmurFRYL\n/V6kf5IdJeXHZ1IScOoUdz4QAOrryfukpJD5yOl0orWVlOf3AydPOvHhh4DPRxx0Dh92wmAg819L\nixOff/46fvUr4KOPxkAN4oZQ9Ho9Pv30U1y8eBH5+fmhSQIASktLYTabsXDhwpg86/XXX5c9R5/5\nySfEdXfIEGvIbZR//s9/Jp4fLGvFlVdyq7Crr7bi9GnOhjJmjDWke+Xfv3kzWU1ceaUVEyaQa0eM\nAGprt2P7dgPS0z/vSQ5JH05UE11du3DkCPnlgw9+gO5uoSTg9b6J48ftPZMl6UizZ5NAJgDYvfs8\nWlre5L8x6uqsKCuzw+9nYLFIvy8pG8jNtQq2UbVYrKir28GLDbAC2CEon8JsDmDYMCtWrLBiwwYX\nMjPtOHTIgLy8APbtK0BhIYnLmDiRrlJtGDq0AqdPl/LK5FUOgE43OkQmZBVIBu6ZM0BzczE6O/ND\nqka/H0hNtaKtjW4ba8WoUcDNN3PSBP99fT7gllusoR0bifecFTffjFB5U6dKt1drqwuPPeZAd/d5\nnDnTDLP5IXi9G0L1z8lZibvvLsCWLQysVuDznoDv2bO55wHAiy9u79k3fCfS0wtQU8Pgyy8JsUm1\nh8UyVrS3hxW8tResVitKSvRYvpwSwr+JyrD2fKudoeup9xc9tlqtmDTJhRdftOP0aZJ9QG4r5rFj\nCTFTCba62og33/QjNVUPgMGNN1qRnEyu7e4mE3duLrcytlqtSE528krk6pqYmA6DYbtgI7ecHAdW\nr35A8L4AJ6GMG2cV2AmHDLFi0iT0vDOQkGDFzJnC9vJ6gVGjSP2uuipbsr2AnT1ZKrj7ExNJf/P7\npeq/Cj7f78FHdXUphgyxIznZiqYmIjlYrdaQOsznI+NZbnwmJQnPBwJk/rFaOc9Lq5X0earymjKF\nzA8WCzBjhhVffUX2YTlzhpCi2WzFf/wHMH8+8NRTTyES4oZQKNLS0lBUVIQDBw7AarXi9ddfx3vv\nvYed1FoEInlU82bpmpoaZGdnIysrCzU8Z/Samhpk8Te0iAI0FkRJ5TV8ONkilm9DoUZ5sduwWDV1\n7bU2dHczIbHTZCI667IyBsOHA2+84cK8efxgo3BRu7v7eomaufDFF5UIBkvw4x/7YTLZkJbGhIzy\nkXTzkVReYs81kt4jsk0kJ2clbr+9ACd7Fo/JyQw2bGDw/e8Dr75K3Cz1etKxOztJmyQlMSgpAf70\nJzscjvOwWH6E7m5uEF5zzUo0NBB1ppwRm28oDgQ41QVVAUQyyouz6FLPHhrVL6WCKC8nyf26u/NB\nIrc3gCwI7ADOYsyYIVi37gdIT2fw179y5QJCt2HxvuFr1gDHjlG3UXm1k9iGIlbh8G15lZXncerU\nj8CyXLuazSsxfz6nJpayFdG6/elPJPuAXOyS30+SHfJVPgcPAomJxO7g8TCSKi+jkewBY7M5cPTo\n15JlJySMwNSpc2Ey2XtIlzPCiyFnQ+FUXkIbCn+8dnT4ceQIcdl+8EEbdu0q7nFrJ7BYViIQKAh5\neVEbCt3wqq1NInBKduoNV4P2VuVFbSgAUcvLqbzIO3BenqNHE0LhB9OqRVwQSlNTE4xGI9LT09Hd\n3Y3t27dj9erV2LZtG379619jz549sPA2tf7e976HhQsX4rHHHkNtbS0qKyuRl5cHnU6H1NRU7N+/\nH3l5ediyZQuWLVvWqzp1dhLCICmxpc9nZJCVJSUEgDPK8yffqqpwHeqhQySbp9/PeaD4/ST7bkYG\nGbDjxgHJyXYcPGhASkq1INqdQDypECmmo+PPPc8ADIb7UVT0Fs6dG478fD/a2qjbiRP8lRbx4+c6\npJwRUYpQwutBBnRq6j3w+Sbg298OYMWKAvj9TGglzp84aJoVvZ50YBrp7vW6sGmTA16vESbTcDzx\nRCb27eMmjwcfLMB995FnRTIUl5e74HAQ9+NgkHidtbUFkZWlHIciHsDUjkL3NZeyoXBebKvAkSqX\n3yk5mZDcjh2QtaFIwWwmtpJhw4CsLBtSU8NTxNx0U0Gonyi5DVNC+O1vnXjtNT2ys7l2rawswM03\ny3t5ieukNOH4/cCRIw6cOSNeDBG7g9fLhAiaTyjvvUf68vbtpSD9WrhASUoi7sYTJjB46SVlz0dA\n2YZCvBw5G0pFhQtPPSUcr3Z7MdrbSRBgcjJw8812fPaZAcnJAQAFaGwM9/JKTCRk2tzsDqu/2Xxc\nMj2/wRDod0IRG+UB0g937SIxSdRqQAnlkjPK19fXY/HixQgGgwgGg7jvvvswZ84cjB8/Hl6vF3Pn\nEj3yzJkzsX79euTm5mL+/PnIzc2F0WjE+vXroeuJ9lm/fj2WLFmC7u5uFBYW9sogD5BJbcQIhBIQ\nikEJh/qvSxnlExPJBz161CFIyQAATU1kQLndjCBau6mJlAsAo0YxeOIJBoWFwI03rsJ24X46AGxI\nTOSv2sVSjAuBwCgcPcpFoI8adT9SUx9DW9v3Qlfl5KzEokUF2LVL2YiYlUXcNvkGZ6JGsmHkSHFG\n32346U9/jFdeYfC//0v2wX7/fWGkPF0x8gmFZnz1+8kOhXxPsTffLMa6dZwKi2YRAJQNxfR9+Nuh\nLl9ejMTEEaHARikvL6kBbDKR9tmyxYEjR4x4/HE/nnxSGNTHkZv08KKR23TrXoBbfChNGGYz8cK6\n6iogJYXBmjXACy/YsXu3AXPnktX5mTMMjh0j1ysRClcXYPRoBu+/z9U/L099pHxCQuQNtoJB6ZtN\nJgM8HnJ/WhqX5dhoFBu/ad3s0OvPYu7cq9DaWgCAUZ9jSoZQaGAjqQ85/9pr4dLuyZNkvHo8DJKT\nSU4su53c8847XB4wsVGepIrZCE5CNQAIIDsbaGkpRksL95ysrJVISSkIOSXQAEb+7pRK/ePQIbKH\nitVKFoHDhtlw3XWk7ajKi76nWEIhO7FStR75LSmJvFc0EoqOZVnp8NLLFDqdTiaeVoMGDRo0yEEH\nIBJd6BXPXq6gkXkK//79Lha/fYHFVaOlz0++gUXpGhY6sHj4xyy2vkv+X7aOxbgcFv+znNy/8TUW\n2VnF0IGV+LcKs60s/vRHFs+sZfGzJ1hseYPFvf9JnnHXnSw2bWQxbCg5vnb8HsycsQoG/WrcMmsV\nyrfuCdUn38biWxOLocMe6LCyp/zVks/NGbsaP/0Ji9VPsihZTe7/7DiL0dksUoawsN4qfV/GFavx\n7j/JdWfPkPtGDGeReSX5PxtkYTKy8HpI+/3j7ywSLSz+f3tfHh9Vdbf/zJaELOx7gqQEBFlM2LXq\nJVayvISi1NbtFcFX+1PaAqLVahaJAmqt2gYrta9i9bW1altRSyQJIJPBhR3EgkBkTUIIJCSQkHUm\n5/fHyZm7zLl37izZmPt8PnzIzNzl3HPPOd/zfb5bw2X6+xfbCG74If17RBxB6WmC6dMIdmyn1ydt\nBOlpBGtfI+gVwW9D8qwVsvdgMRO4nPTv/A3FEG7KRq+IFZg2NRtTp9D+UXueYUNX4NHlBLU1BH16\ny9+vyym2Sfp9rwj+u0xPy3Yfk7+hGNFRmYp3Qf/17/cU/vse2q7HHi1GTLT899EJmbL3Kv237k16\nzLwfE0yaSL/76kuC668Tj9n4Ge1DEIIfXk+PP3JYfZxLxxv7d8MP6btin2OHE5SV8s8vthPMEtSv\nn7uC4J67izFs6P949EWYbTle/G0x4kcSzJhO8OEHBLfOI/jkY4K0VH4/DxxA+/muOwmGDiF45WXv\ncxmEYPw1BHffRfDHV+l8Zd+PG0uwaye9dk42wQ/iCYSb+Pe2WbOxcwc9BoTgtT8S/GIxvcaE8QT/\n/AfBwAEE58/R348eIYjspT5efv0Ywe9eJCgsIEhNIdiymeCWHxHceAPBkMHKcUdQVEh/k36fv6EY\noxMyYQLvPsWwWR/yGF8Zc4rxx1cJfjKfzlEQgmlTCf7w+2L06S1/R/36ZuK+Be3jUQdCU6DoAKO0\ntAIbmbshzyjP1FOzGRg71rN+dv/+mQBScOmSPFUKs6EA9LsLF+D2gunfX8Arr6yE2ZyLvLyVMprF\n6QRmzUqFyfQaRKqATwNZLC5UVNhlAU3NzTTKWiunEuDi2lAY5VFbK0+8yGpjM05YmRxSGlRoMtF/\njPIymfTFOkjryGRkCHjppZWYMCEXzz+/Ev36saBBnq0pG9XVX2P9+mxs2eLwsKEwXl+ZN8lk8h7U\nl5EhYPLkNCQmbkJkZBWiou7C2LHLERGRg7lz03HVVbRdBQX8wkbKWuEMjLIYOFAMQJOmtgHoO2RG\neT2U1/79dm5RL2+5vKRt8mZDueYaAcOGRUDpVNLa+gr+8Y9NaG0VKS82LpYuTYXVKp8zgwdnYsIE\nSn/bbGivD6N+bym8U15293xdsIBf775v3xRcvCi3l16+LJbGVlJekZFAr16e1zKbM7FkSYo7Up4Z\nvhnFytKhKNvf2Oj5HkRnFN64LAJN6y/i2LHVOHhwk5vy2rfPgbS0bJSU5CIra4WisBdQW7saX33F\nH488dAsbSncEs6FoCRSW9JBnlJd6eQ0fLuDRR4G8PFoFUhBcuOqqdPz1rwIqKhx47jlqLG5pcWLG\njFQkJYnpOGprRYHCJoPT6ZkSxuUCxo0TEB6+XmJE43tbTZ+eDoulzZ1yARBrHlitwOLFyhQxNF9S\nU9NwZGdno6kpFU6n6IrLNi9S+w+b8KxoE3senkBpaRGPCQ+nfTtgQCoqKz3zPinrtDCBwiZgTQ01\nWksXDnnKG7FmRmurHSdPJuOJJ7LaF0VRQKsZQD0DUCmUgm7ECGr0XrsWuPNOICUFuO02Gv196hQ9\npqVFf8Q56xuAVrpk71iafDM/34Hnn6cJG9PSnKiuFlOCqKG52dMRwJcCW8pgTwbm1PHdd5TP79Ur\nzPMgUHuS1IbC7pWWRtO0jBiRg8OHLbDZXLjttnSYTGKxrKYmcW54Axtr0pQ4gDzDM5uvgkDv/eqr\nOfjmGwv693fhxRfT8eijgjszBiBmWmbjT+nlRdMUCcjLo9favNmCWbNcsNvTkZ4u4JNP5AJFOif0\nChTRXscbl/yX5nJZ0NpKa8vs2lWIs2fZHFvEPb6lhT8eeTAEigqYBtLU5Jksjv0uXTzVIuXZwpaR\nIeCHPxTQvz91k/373wHAgXPn5Mbimpqs9gWCelTV1IiTxmwWJ6/S84IJMatVOsNEY6bVehqJiVfh\nmWfSsX07vbZUQ2G5gyIj6YRik2DnznOorTW5411276apObZsoW7O1G2YXkOqXYWFUYEiXayUBbZ4\nAoVpKH37UuN/bCytUDhxogtZWZ4uoUoPrQsX6C5d+j07Z+HCHDQ3l7i94JiXGzO4KgWK0mUYAIYM\nSUXfvvK6FzxBxxYupqWx3ag0YaBeLYyBtUdaOpmVV1Y6UhQVAWFhYkoQNQwfnuyRft6XAls8ozzP\nqaNXrzu551utLq5AAcQ0LZmZtD2xseJzSxd1PdDy8qIadbLbKP/55w58/LHoMvzEE9TpIjtbLFfB\n7k2DmMUs3Eovr8ZG0aMuLAz47DP6HNXV8noo0jIVvggUUfv23DxaLN9xNxM2mwtOJy01LK8/E+d5\nMGg2aL0wKC8VsDTsvFw2hHhSXlpuw+ylSgv00MWuCC6XXMWsqxNVTCZQ2KQxm+UCQAqXi06OAQNS\nMWKEVMUWkJDgwtSpDyAri9JkLGWIUkO5eNGBhoZsZGTkYs2aIixZkoLw8EGyGAWApebY5H6Wlhba\nJ1VVcoHCKDAGPRoKEyhWK9Cvn4A//nElRo3Kxdq1K7nxBcra4zU1VKAoF46MDAFJSSsxatQ4j2tQ\nWGS7cjWPmsGDBSxdmoa0tByYTLlIScnhBvVJ85xJqT+pQJk+PRX9+nlSK0uWpIAHKeUl1VCGDOHH\n4dBMBJs0M1Q3NHhqKL4U2OJRXry2NDb+Er16PSz7LioqEykpKWhtpbnXlAKFbUAaG+lmhW0WAPkG\nTg+0cnnRgEbmuuzA888XoqhoFYqLc1Ffvwp//GMh8vMdiIyETEOJihIFCo/yYmsH01yY1jt4MH1v\nSspLmnaGaaPS9vMEytKljFITAKSBesItxKhRv8SUKbMwcKDn+JoxI0XF+44JJREDB2Zi/Hj+eOT2\ns+4jQwwsa26vXsDHHzvwzjtiTMZDD6XCZhNdFqU2FKahsMFDiJZAYd3vAHX5tQJw4uJFGgjFot2l\nlBebvDzKi8ZHCPjlL4FPP5UHe733niArUXz6tB0JCcnuhenLLx04coSWVt2+nX537FgW6uv5nB9z\nfXU66QRi9h+p1qYUKNLdrBbldeECC2wTBaUah6/UUHiUF4PTCYSFSbUCO8RYHFf772If8e5pswHT\npwtYulRATAxQWMivTyHNc6amoYwcKWDuXODcOe+BeaxvAFFDIYRqKDfdpB6HYzZbNCmvI0fsuO66\nZNl3vhTY4mko/LYIGDXqb7J4l+bmdEycSAMbz5514KOPinDhghVPPEFdscPDBZlAqakBJk6kV5Nu\n4PRAS0OhFU5pbZwLFzztWsePp+Guu15AU9Na7N0bDrM5Gvn5dyI2VtCkvFhcVVOTmLDVbKYbgMpK\nMdmqUqBo2VB4AaYAZRNovwJ1dQ9g+XIBW7YA06Y5cPy4fHzt2cOqwyo15DYAaejT5y4kJY1DRASt\nO3/pkvc4H3c7dR8ZYrh8mS7kJpMDmZmFssCso0ezYLPRSG5A3SjPoqnVBYoTUk6foaLiYeTnOxAW\nRjPHssI4ZrMoUNQoL5cLuPlmAb/4hXwQfPKJvOa9UkP597+LZCksAGrAs1j4VIXN5nLvYiMi6PMq\nNRRWHZFBupvVo6EwCkFrQeNpKEOG8KPfXS7gZz9LRU0N3z40Z042li+n9IYy07D0GVpaxDLNasWO\nWHyNlkBpbASSkgQ8+qi+Ccva07s3vX5rq6ihqDlSmM0uOBwOZGfLg1TZQsSzofhCefE0FLW2xMUN\nRkHBSvfnBx6g49jlcqCwsBDV1fSd7NxJ44T69KGR9EygVFcHpqGoGeVZsSzav8oHdQB4B/X1kwGs\ndo+pBx98FM8+C9TXC6qUFyBGy9ts4oZAqqFIKS9vRnkW86aEMqPCXXeJa8HUqQLWrpWPr2++odca\nOjQVUVFZKC+XBlwW4Nlnf4GlS+k5770H/PvfXrtXbKf+Q698SKPDL192wm5PRWNjkXugM5w8uRoR\nEWLqcSXlJbWhECLSB9KKb3RQpwJ4DYA8H1dT0+t49VVaFrimBhjXztJoCRS2k5fukKRgRXwAMSLw\nrAAAIABJREFUukBMnJgss6GoGYgtlr5wuZRRvpn42c/S3cGJbJdKk+ixY9QpL0LEwEaehsIECiCn\nCnhQCpQLF2h/qWkoN90kYMIEuqMrKzuH48dF+9CWLcDJk1TlT0gQuPdkz8CyTKuBCUQp5aUUKNLA\nRj1gAmX/fgcIKcItt1ixd68T332Xyq21Y7VmIiwsDr//faFs0Th2TCyG1a9fsqZRXlk0SgmehsJr\nC8/OxN414DnHjh1bjUGDctwCxeUCTpzwFCh6NRSteihhYTTnFtUglMKwCMAwAKtk3549+wreey8H\n9fWCW0NRUl6A+L5pfzqQlkbrqHzzjRMREVQL80VD0QpsZGBzQhopr7wWzRBAq3xu2pSD77+3wOl0\nobU1HampogDqkalXugN4hsTly7PQ1ialfERqqqWlBFu2OAAIHkZ5qduwtoYiAFjPbU9Tk8VNefFs\nKErKS6qh8Ca/tPa3dCfEruM5kShMpsGIjU1BdDSt4XLTTS4cP56O668X85CxXWpVFS1EBIheXtId\nJFt82KRjpYqVGsrly/R/Rhdq7ZB5lBfPhgKIE4zt6NLSsnHwoHyhYIWiXnxR0NRQLl70LlCYhsIq\n8PEEinLh0ALd4TqQl1cIl2t1e/VG4He/y8Krr6YhLy8Nr76aA4fDgmnTXDh8OB2XLhXJhIn0GTMy\nBFUbitTl2GpV18R4Xl5SGmbbNguSklzIzPSk8sLC6Jg0m60qdh6Lm/KKigJKSoJjQ5HmOCPEgTlz\nilBZacVLLzkRHT0cMTHSXbv6Eul0WtozMYt2J+WGjr3vzZsdaGwsRFGR+C4iIrKwZw8wbZrQntna\ngU2bimCx0Oqk+fmiJmmx+CZQ2LrDEyjSSPnkZAGPPSbg//4P2LQJKC5Wd6TRA0OgtEOtCJLVyigf\nOTXV1gY88khWe5EmQZbCwGSiiwVbaNUECt0J8mdERITLw8tLakPhaShssVbTUFh8Qmsr8P33dkye\nLNpQbrghFWfOZEmyBgPx8Zk4cyYd06cLaG6mO/t//Qv44Q/lCz2rzvif/1hx4IATQ4akIixMQG2t\naFMBxP6Q1hFRo7xo1UfvNhQe5dW/P5/yUgqmysoy7jWbmiyq92TJIb1pKHopL18EChVwRSgtlY/T\nEyeogCgooI4LEyYAa9cC//VfgMmkLNwmPiMAlJba0atXskfb2QKvJcwB9QWHCe2+fSllwopYKc+l\nAsXJFShWq8stUEaOpEXVpMWwgMBsKJ98Quc0XeTtOHAgGeHhWbj77lhUVFDvwtra79DQMIZ7zago\nl9vtmL1vVsmUgdVEeestTwecpqbV+OSTHCxdKqChwYH33y9sT8lEIS2r7IuGwjQQLQ1FmXpl4EDg\n6FGay0uqNftaYMvw8mqHmlEzPLwvhg3LAi/b77Fjq+F0vovXX8/GggW5AGiQnM1GB5E3Ly+6IKUi\nNpbv6cNsMFK3YT02FJ6GIqW8eDaUUaMEpKSkYejQHPTunQsgB8uXp8PlokkqHQ7gmvbkxmzyUE8R\nB2prC+FwrMKFC7nYt28Vli0rxPffOzwoL4uFTrbmZnWBIqW82MLmi4bCPIG0NBQGlhBTiYgIl6rb\ncFdQXvn5NPjs/vtzAZRyj5HGrkjdUAnhZboVXZPV4lCkgataAoX1P08g1NXRdjCtQgmmoURFpbbP\nMREJCTSIkQkUll9KqqGYTPopQ55Aee01zznd3Lwahw5VoKBgJebMycWiRb/E0KEVUHo/DR26HEuW\npLgDeZlNiwXoMrD33dTE70Sn09KuuRfJhAkgD3L1lfLypqEok0MOGkQp6oYGeZ8aGoqfUDMkRkYO\nxgMPpOC119Zx6kM70NZmxeHDIm3y2GN04DU0CB4lRZU2lJgYoLZWwOOPAxs3enr6HD1Kj+cJFJ6X\nl14bSmsrcO21yR5xKBMnCujdW8CHH9LvyssdMJmysX49tSk1NdFAObZYUiFWBKfTcyLYbDm4eFHw\nWKzCw2nbWRvZbkpJeUknv68aSr9+UlpRhHJxzM39eXtdkDQwKrNXr+9w3XWzVN2GWcVBPQKFGVrV\n3Ib1UF6eVGw29zhp7ArTohoaHHA6PTPd0sVwPgBav0OL8tKqSgnQxZMJsC1b5Bmq589PxYgRgipd\nFh4OfPedA01NRejfvwrAnRgwYDimTYvGkiXpyM8XsHu3Ay0tNBEnQO2ac+fSMUidZtTbJgVPoMg3\nkcnuv5gHY0sLcMMNNDnr00+/ixMn7gYQhh/8IBrPPnsnMjKopychdPwyu6AUzChvtarHHNFz+J3M\nNgpMoKgJZ+WzMoHhi4bS1JSMxkY6Rpk9uarKiu+/p/SbHhgCpR2ehkTq/dPSMhyfflqEq66K5giU\nIgB/kn1DPaNycPmyZ6p3voZCecxly/gxFoC+OBRmt9FjQ2GpNJRxKP370wlQXw+EhTnw5puFcDpX\n49gxeswHH2Th5psBi0VM1a2WisTlsuDyZc/db1iYKDAAbS8vtlPWSv3BJg8Do7yqq71rKBkZAnbt\n+g9efPE9d8bmxkaa1dhmc8Bm83wnbPFsafFOebG+1aK8vO2wPalYfvYDqcGbtbGhoQgul2em2+HD\n693cPM+GIjXKa/U9Q3g48Omn1BtS2tZvv81qpzz5XmzHjjmwc2chmptX48QJ+p3VmoUlS1KQkSHg\nf//XgS++oDRzRQX9/ZFHsmAyATaboNt+Qq/rGYeitsgzzZW9M6UXlRTR0fQ4pqEo5x5737ffnoq9\ne6X1jQCTiWb5plqNk5sui20U/DXK8zYDUoEj1VAqKui5BQWe9mRGv3mDIVDaITUkHj58DqWl1Pun\nsRE4cAAYPPgBAI8CeKX9DAfM5qNcVd9ksuiivGgdBm2XTEC/DUWLN1VqKIcP04qYUgEVHi4uLlFR\nyihaoKyMcvVMoDid6tHebFKy67EdT0ODFffd54TLJWo7SsqL+dtLNRQtt2GmiTB6KTqaqu88Ly/p\ndex2O77++oysaBdANwXr1+dg4EB1gdLU5F1DYRsQLcrLm4biScUyz8K70afPWERGelZLZFoUIVbJ\nOeLvMTG57r+rq+2IjEyW3UGZq01LQwFon/zpT542yIqK1TCZ5BkIpPj6a09X9cpK0WHgwAHPMcgc\nCtLT9aWuZ+Pum2+s2LPHiba2VHfmgEWLUvHFF1nttg07gGT06pWJefOocGbvTAtMQ7FY5OOYgb3v\n6dMFJCTQVDJlZedw9GgtWluH429/K0JsLBARkYqwMLkNU7pR0HIbVsIXo7zcuYHa09TsycBzXu9t\nCBQJ2E4kMTEbp07JvX/OnVsH4OeYNCkH586dQ3W1CU7n1dzrmM0uNDZqCxRGeQH8lw54ChS9lJce\nG4rFItdQjhyhHiaNjZRasFove14EVAWPjBQ1h969U1FXl4WmJvlESE1Nx6FDVKAoaZuvvgIslizk\n51OHBqWGAshtKN4or23baD60+norTCYnPvssFVOmCFzKS9nXaraz5mZLwG7D7H0HIlD4VKyAvn03\nYciQXNx7r2e1RNE9my/sLRZR0vLsOL4Y5Wkblf0oekNeuFCC/HwHd4evVieF0TyiQJTCgZ07S3Ds\nWC4qK+WeUEoox11lJfCnP2W100YCbrpJwIABwOTJOTh7thRDh27B+fPpmDZNjNHRI1BY4KJ0fDFB\ntn8/pYzuuCMVw4YJWLIEWLasEK2tf6ZP4wDKy7Ngs6XhhhvScORIDuLiPINcg22UV2ooJhPNVmC1\nqs8JPQhJgcKrRigdlGoGNCAWDz+ci5dfzkZl5SrwKsklJGSitjYd1dViwR5lHIqS8tLafQNygaJF\nefmioUydmuwunrNhgwNfflkoixCureUHNEZEuGQcbJ8+AoYNA1pbc3DiBE1+t2RJOmpraX9GRvI9\n6FwuutO85hptgcLoLLU4iJoaB9au9Sye9cwznjmslBRAcnIywsM3c69rsbhkRnk2Zg4ftiIszImx\nY1ORlqYekGixiO+buQ1HRorvtLVVH+WlFtMxaFA69u8Xg16lYALFYklFREQWGhrEc222TPzkJyI9\n1tbGj0PxVUMR6SO5N2RTk9xbSX6eul2BtlX5O712Tc37bu1P7doAf9ydObMaDQ1Ua6IOA7RYFsPc\nuVIbiz6BwjKGM8pLKcjOnQPOn6cF6tR2/+HhORg0aCVmzhTw9NOe97FaIct0rAV/NBQAiI1NxqVL\nWtnGvSMkBQqvGiEgDko1Ggdwob5eKsHF5IuABf36HUFe3mL86lcCqqvpRJNOTqlR3ukUDWzeNBSm\n2lss2rm8pDEeSvDiUFg6iLw8z3QTra2/BPAwAJEOYir4m2/K3Ybj4gRMnSpg40agoIAey2qlR0Zq\nl+dlO3kp5QWINpTmZu1JdPo03zvmxRd/jtpasXrd0qU0Q7Kyr9UW7JSUdJS2O1TxYpTOns3CmDGA\nGp1jtYoCnGko7H2Lnj/eNRTP1BpUYP/tbwK2b4e7XKsUzCgPCJg4EWhuzsHp0xaMGkUD166+Wmyz\ntzgUvRrKPfdQt/Njx0zgeUMyGkuK9PRUHDmSJXPqkNI8gpCK8vKs9nLBgJqnJe/agPq4a2ujg4Cn\n+Urnq16BwpiIy5fp+TyhcfbsarS15SA6mt8mk4naHLVshb5oKCwYVK9RHqB2FKdTfU4wW6rmvb0f\ncuWBt0OQDsqpU1Nx7py8PGdcXCbKytJRX6+kEkR+esYMeo3ly+kvwbahsAVWqqkw+KKhOJ3At9/a\nMWtWcvvixmuAAOBvGDkyB/HxchX8L3+RC5SwMEonSD1QWNtpXWr1nSjPKM/6hAlQ7QWNT4scPWqF\n07kKxcX0m2PHstDQQCk2BrvdjoyMZAB0wT540ILISBdeeSUd1dUCKivpcbwFor5+Nex2dfsAE5TM\nTVpaF8YXgQLwjcIffUT/VxMozG34qqsE3H67gNdfB55+GnjrLbgN3HTM0FrqUiiN8t4ESlMTLYkc\nEVEFq7XGg2qkx3gOypkzhfYYjhxce60nzTN5soDiYqCqKgdJSRYcOFDKcYzRSvevFqxLJ6RUoNjt\n1KYo9wLzLlCiosTNGaO81AQZIRbVNlksLpmzihId6TbMtO9du8rQ1hYHINUdJNvUZIHD4cLvfpeO\nn/zkea/3DkmB4gnKyyYn5yI83ImoqFTcemsaKipycOyYBc3NLvzqV+n4zW9oMrj4+FS4XFmorFQ3\noAEi5SUVKCySXo8NhUd5NTfT8wK1obA2RkSoe7sAg7Fw4Uo884z8W2ldFqlA6dvXs+2Rkfwdj81G\n+2v7dk+jPCAKFG8aCr8+SRGamjy976xW6lCgBFuwMzNpP2VkAG++Kd5Xa4FQAxMoMTFyGwogChQ9\nlJcamCCKjfX8zWaj9yOE/s3GRlgYMGyYKFBYYKXS9dYXDSU/34GKCmmuO+9uzQxUkxIwfbqAzRzm\nkfaXgKQkAXY7kJaWjaIifdcG+OMuLi4T4eF0nvLytfkqUKQaCqO81ISGzeZS3f23taUHVaDoDWzc\nvNmB3/yGad92AMlYtiwLeXlp7rxrAwcCN97o/b6AIVAg5WXZbjYmJgsLFtAOfest4IsvgClT6G80\nilvAL34BfPUVP0ssGxQ8DSUmRr8NhaehNDXRa2i5DeuxocycmQyALmgLFqRixw6pYd2BiAiaMPGD\nD7IxY4bcxqRUmcPDgdOngWuv9Wx7ZKScttm924J+/Sj1kpEhYPdudQ2FCVCtBW3cOOpGKxXuERGl\n3OheQiweNhQpRKpIvntVWyB69VJP48sokN691QWKr6lXAHE3eeiQFTabE1u2eBqlw8LEWB82/s6f\nd+DXv6ZxBa2tTkycmIpp0wRERyd73MMXo/yaNUXtafIZvLs1MzCPPrVFMjyceuuNaQ9U15sjjIFH\nF/7Xf6Xj7bfp99J3zMaCXoEiLSB2+bIT8fGpsFgEmM38dg4cmIlJk9JVKcxnnxXaNWj+/TrKKP/6\n61Ltm/aBkrGJiaFBqnoQkgIlIUH6sj152bq61di2jdIZkZFUELAFqq6OGuFmzxbw9NN8uoOmw/b0\ne29ooAuMkvLyxYbCNBSt5JA8DSU8XDxGOpEiIoDrrxdw1VVA//45qKuTJ0w8csTT8KmmoUgpL6mG\nws7NyBBw772Uq2XC2xvl5U1DGTlSwOTJwHffUaeAhgYXBg2Kxr59nscS4lLta0CM3Abku1c1DWvR\nIv5CxtrP3ndFhbg45ec7cOZMEe691wqn04nCQhqopwc8Ww7PKK0UKHv3OnDqVCFKSuTnZWaKGbOl\n8MUor+bWHBV1N6ZNG6uZkp/1Ly8jASAKFKbFqS3Gal5e7Bzp7998A6xbR//m2VCkwpRlA1aC9x7y\n87Nw7bU0RkvazuPHLWhqooKMxTXxKMzf/pbmwguGDUVqdPdmlG9t1fa0AwyB4hWMHywqsiAsrJSb\nWoDRGSwXD/MBr6/X5zLK6pHzBApNO+7A669T18o77nDi0UfFnSbb/Zw/L0YH//jHgnvH3rs3ZFxy\nWxulN7R2JSaTqKU4ncC+fXZZxuFevWia6yefVE+YqCVQzp2TU15SDUWKmBi4E+qxvvJGeWktaDYb\nMGGCgN//XsDvf0/L66akONoj4OU72VOn0j3iUKRaijTRoXSxUS5k27a5YLGkY9489YWMGeVHjABO\nnqTP8e23DnzwQSHq6lZj7156HAvU01oUGdQ8hJRGaaVA2bxZqUXQ8/7ylxwQ0gZplDhAz/n2W5oZ\n9/x5K44fV3fPVXNrHj9+E+z2XM3nYe9aS0NxueS0oFaQoR5YLEBtLX22igorzpyhzxYV1abbhsJ7\nDxcurMbhwyKlytr5zjs0i/Xo0cDZs+rtUgb8KkHdeYOnobCs3/L3ZwcbC1IaMTraECiayMgQMGUK\nrRvdt2+22/gqBaMzmIbS2Ei5xPp6sRaGGlh9BcBToAwYQCfrsWOF7qjZzz8HTp0SI1F5WY9pdl4B\nTU30GowHB8Trs0Gi5mLLBAqLQwHEWBRGv2h5ZDEoBQqrA69mlJeid2/gzBntSHnWh3o0FGkuL+ax\nxBacuXNzMHOmBTt20OC/W2/19PKSQipQlPw6u+aaNUWIjrbi0qUifPUVcPvt/MWNuQ337i26DW/c\nqE8gqEHPuwFof0mDQ9V2oQ0NFi7ldvKkAw5HoSylvJp77tKlNDhQ6Zp8//3q2huDNw2Ffe+vnYmH\nbdscOHu2UJZgc9myLDz44GAPgcIKYCmh9h6cTs/YJbZ+qF2Lgc0hLYEC+G6U511POj700IiGhqID\np0/TXfvAgamIjpZ3aFhYJu65h3aolPIaNEjUUBhdxQPbtQNyFbqxkS4wX3xRJEvBAIgLCyFEddEZ\nNUrgUl7SHZUyOZ0UUoFy003JAIDLlx1YtqwIJ09a8dBDTtTXc9xoIN+xSG0oFov4rFqUF4M3DUVp\nQ/Hm5SXN5SU1ctMMrQLeeguYMAFIT/fcsfFsKDwNBeDTHL/5TRYiIvjaBaO8mP2rocF7IJ83aHnL\nKZ+joUHUUPiOC4DV6sKQIcke3+/bx69PwhN8GRmUcqyvz8F//mPByJEuVFam42c/8y4g9WgoQHAF\nynvvFaG11fPZ7PYcPPmkPrdhLe8x5YaFzTlvBv5gCxRvGgqbV5404hYPGjEmRqSCvSGkBcr48UBL\ni4C8PLF2Q2ysC/X16ZgzRwzMkwqUsjIqrfUKFGUcCrWh+L6wNDVZ3Dv23r3lXl5sh84idtUQHS0K\nFOYu+P33he7d5bZtwNChD2Do0Edx9uwr7vOUOxYe5QX4Rnmxyo5KgcLO02tDkebyamiQCzVptDrr\nG63+UQoU6e5dL90kvbe0xKtWwJial5ISeo3SrFomEyiCkIqjR1mKEYr4+ExkZKTjyy897+Or4Bs5\nUkB6uoD77qOOGRs28NPVK6HHhgIEV6B4sxnoobzUjO4jRqSjtlZ+rFSgaCV2DAvT3jz5IlD0UF7S\ncsLeaERDQ9GB06eBmTOBDz8UO/Tqq2kNiQ8+EAUGyxba1EQXwb176SDztmtWo7x691YvZhUR4QLh\nZYhr/03qNszTUJqa1A38AB3crAb2zp12rF27WUZVAMDZs+swZcrPkZiobvjkUV4AnTDM/nPxIrX/\nbNuWijvvlO92amqAoUPpZ6VAMZtZ5LW+OBRpLi+lG640Wl2a4ZhBaUNhObAA+r9006CXbpLeG6DP\nwgTK0qWpqK7W76WkhF6jNLOhsD4cPZomUpw6NQdtbRbs3FmO8PAwfPjh5ygrewP5+T9XvF/fBB8T\nYADw5Zd0nmgJboau0FDq6/np/BsajgMQx3ZbG/1freQuIH8Po0al4+hRAZcuyY9lG1I1Az+Dt76Q\navTeoCcOhTevlPOBwRAoXkAr9VkRHe1ES0sq6usFd9bQs2fllJZUQxk4UKxZrgUl5aUUKFOmpKK0\nNEumeksXFrVd6ObNtB3SWBaLRb+GIjXKa+XsiYmJRUFBrup11DSU/fsd+O1v5bRQZmYWoqPFSdi7\nN61ZoqS8pBOJCWzmequ1K5NSXsqob3Y+IN+RqUGL8vJVu2D3kmoot9wiYMwY4OGHc1BebsHYsS68\n9JK2l5ISeozSPLdhs1nAP/8p4OuvHbjzzkIcOcLekR3LlhW6rw0AM2emorZWHtirJfjCw4Gvv3bA\nYqFG/Oho7Rxb0nZK/+ddFwieQMnPd+DcOX46/5/8ZCoAsb+YAFCjj5Xv4fXXgYMHPRdwXygvoPM0\nFF/KTxsCxQuKikQvJqs1C++9B/y//0dz+5SX05fPuG+pQBkwgH6nZZAH6EtXCpS2NjGGJD5ewKBB\nwKhRObBY+DtN3i5061ZxoDPvrKgocSfV3MwfJExr2LvXiiefpHVNbr45GWvW8PNYeaNgeHEoAOWn\nlbTQ8eOePu3SxV1KDYn31596RWqUb2yUCxQp5cXTULRsKEqjvK8xEEqBUl1NF91//asIhFhBiBP3\n3+990fUHrMCbxSJGvTMBuWaNMsNvMo4dS5a9o3HjBBAC1Nbm4MABGjf04ovqgq+8nBrxGaVWX6+d\nY4uBvfPOEijUc5Kfzv/JJ5cBEG2eeoIapVBLX88EijejvJTq5cFfo7yahtLY6Enb87QTQGQV9CAk\nBQoFzYjqdNrwxBOvITYWaG4W8P331NbAdiZSL6/YWPritewnAH35SsqLeVGxKowREQLefpumtFZC\nbRcqXWBZaU4mUHr1ortg5YBWGpOrqgAgC0VFdJHcvj0Lly75RsGoaSh6uHdluhkl5QWIAkUv5cXo\nP2W1OSnlpRU0xqClofgaA6GkvJxOB557ThpRDrz+ehYmTNDnMuwLGB8v1VCYgNTrxZeQIGD1agGz\nZwOPPw6kpanf79tvi2RjCNDnvcbGTWdRXvIcfPx0/lINJVgChVFegWgobDwFS0Npa9NHnwF0zp4+\nre/YbiFQmpqaMGvWLDQ3N6OlpQW33nornn/+efzjH/9Abm4uDh8+jF27dmFKe7j6yZMncc0112Dc\nuHEAgOuvvx5r164FAOzZsweLFi1CU1MT5syZg7y8PM4d5RlRL16kO6qGBqCmRpCls2AZeRsa6N8x\nMd41FOkiu3mzA5cuFSElhUYoHzmSCptN0JUjSQmzWaSHpLWenU5RoCgHEM+YDKzGc8/dh507/w+z\nZwOff54Ds9mC6dO9B4oB4qTbvdsBh4Om6LZYnKir8+4hpkegSCkvX4zyvmoo3uJQlDtnX2IgpBoK\nNe4XyYQJINaC7wiBwqspY7PxqDs7gGTZO5J6Jp48CcTHa9+Pn2beu/daZ2soWrSlMpeXrwLFbJa7\n4zNERuqjvIKtoXir2Mi7l5oNpcfFoURERGDr1q2IjIyE0+nEjTfeiC+++AKTJk3C+vXr8dBDD3mc\nM3r0aOzjhEMvXrwY69atw4wZMzBnzhwUFBQgPV254+ZnLQVyYDYLMg3EZKILQk0NHdjR0d41FEZ5\n5ec78NRTlAr46iv627/+lYVp02hqdS0DOg9s0bXZ5HU1XC7RI0m5Q1Lbkba00AMnTBDw+ecC/vu/\ngTVr9LXDYqGlWzdvLsS5c2I1vYoK7x5iynQzWhqKntQrUqO8loai14bChJNaCWC9UFJealNNr8uw\nL1DaUFhCUbMZuP764SgufhjNzZ5ZpBmYZ6LLBZSWAiNHat/PM808hTfqtLM1lKVLU1FSkoUTJ3ga\nOZWg7Nn91VCUwrFXL3qtxkZ9Goo3o3ywKC/pNb2hR9pQItu3li0tLXC5XOjfv79bA9GLiooK1NXV\nYcaMGQCA++67Dx9//DFHoGyA+Oh9ASSBRoha0L+/vf37ZABUattswIULye2J9OztC7n4OyDyj3a7\nHefPA2FhtPLZiRMpkEagVlWlYPfuN2Gx0GqFvPPVPtPBYcfJk0BEBK22aLfbUV4OWCzJsFoBl8sO\nu108//LlY7L707+BoUNHtPeZHbW1QEKC9/uzz6WlwPbtm3Hu3Gr39YBknD27DmPGzMWIEfchMnIU\nIiJcSE4egqioNnfPf/MNPd5qpdc7fNjenr4+Gfn5DuTmvoFjxyxYsyYO11yTinPn2tpTz/Dbc/Ik\nfX4gGQ0NwKFDdrS0iP118CA9vrGRfpaen5ycLPscFgZUVdH+a22ln315P9LPLINvebm9XZNki67Y\nXwD1LpLuDP29n/Tz0aNAQwN93tJSev+wMNq/b7zxFZqbp4PZEMLCinHjjYluLclut8Nu/wbffXce\n27ZZ0dZ2DH/4wzS3jYF3v9GjB+HEiSy0tYnjISGhCEuWpGu2l2aSsLeXCfD8nS6ydnz/Pf93Xz9n\nZAjYuXMfnn32PpjNo5CSIo5Pdnx5uR0XLgDNzfT+eq9vsSS3pzWSz7/iYjvCw4GaGu3xFB5OPx84\nYEdbm+fvbL7s30/nq1Z7Dh+m49flot6cx47Jf2frl3L9Uc4Hu92Ot99+G2fOAN9/Hw9dIN0ELpeL\nJCYmkujoaPL444/LfktOTiZ79uxxfz5x4gSJiooiSUlJZNasWWTbtm2EEEJ27dpFZs9uQdXPAAAg\nAElEQVSe7T7O4XCQuXPnyq4FgPTrdwehMeXSf8UEuIPExKwg/ftnkQ0bit3njBhByKhRxSQxMYvE\nxKwgI0bIf1fioYcISUkhZNasFZz7EDJkyAoyYAAh58/71kdPP03PX7uWkKlTCdm1i35/+DAhV19N\nSGQkIUOGyM/ZsKGYJCRkyu5vMj3lbv8rr9DvPv1UfztWrSLkqqv4zzZr1grNc1ta6HGLFrH20XZP\nmODZzn79MklCQjGZN0/9eq+9RsjixfTvMWMIOXJE/C0hgZCnnqLX+vBDQq66Svu5du8mZMoU+vet\ntxLy0Ufax2th+3Z635deIuRHP6LjS/l8CQlPaY4jf7F+PSEjRxJy7bWEPPssIUuWEBITQ0hqahb3\nnaWlZbvP3bChmAwYoGxnpmY7X36ZPt/Ikdlk1qwVJC0tW/dzRUcT8oc/8H9rbaX337LFl6fXRn09\nveaECfzfs7Jon+3eTcjkyfqv+/e/ExIfT8j06Z6/DR5MyDXXaD/HSy/Rdu3Ywf/9uefo79LxrYZ9\n+whJTCRk4EBCKis9f29qoteaONH7tQgh5OuvCZkxg66d3tBtNBSz2Yz9+/fj4sWLSEtLU+XzAGD4\n8OEoLS1Fv379sHfvXtx22204ePCg7ns999wvsWSJtLCPA1bre3A6P3CrdlIvlbY2B06fLnQfX1en\n7cUi5vLiUwFms8tvGwrgSXkxrpSlK5FCakw+f96CQ4doHqpvv93XrkHReJGyslSo1fZQgnoP+Udz\nUB7fk/I6c6ZI5qYKADU1q9HamoOkJPV2Kd2GA4lD0TLK+wol5WW1igG0ehMb+gtGefXvT5+ZJRXk\n0592Ge22Zo3+KHkGlmZ+4ULBo9SBnrbybCjMMxGw4qmnnHj66eB4xLExoHSGUdpQvHll8a7LM8oD\n1I5y4UL3chvm3Uttze2RlBdDnz59kJGRgd27d6sKlLCwMIS1j8IpU6YgISEBJSUliI2NRVlZmfu4\nsrIyxHIKRkybRrPrjhmTg7IyC44e/Q6trR/IjpFOokuXimRV5ZS/K8EEyuLFnq6mgwdnIiGBlm/1\nz4biQF5eEcrLrVi+3IlnnknFiBGC27OMd01mTD5/nsbQ9O7twKuv7sKZM391H/PSS1m46ip9HkcW\nCzB5Mq0lL1189Abp9e4tH9ROp7ph1+WyaApeLaO8PzYUNbdhX6EUKOHhgSc21AulDYUlNtUTS+Nr\nACe7H+DdWYWH8HDPRVLpmbhzpz43ZG/Iz6dzB7Dim2/4sTIsritYXl4A9fQ6c6bzBIq31CsWC7UN\nd4QNRUc8a8ejqqoKte05CxobG7Fp0yZMnjxZdgyRRJBXVVXB1R4tePz4cZSUlGDUqFEYNmwYevfu\njR07doAQgnfffRe33Xabx/3q62nZ2oKClXjppVxER1/DbRebRCaTb5OMRcpnZAjIy0sDkIOJE3Mx\ncGAO/ud/0jF4sH9eXiUl1DvtP/9ZhZqaXOzZswrLlhXCbne4c2ppBTYOHMjiV4pkwgRg8SKbdLXD\naqWVAOfNS0N8fA5mzcpFWloO8vL07bhjYjx3SWoaT1uby2tgo5pRPpA4lEA1FKXbsC+LU6DgCZSw\nMGqUTkjIkh1LbR0p7s/+pIdhz+aPQOFpKOppbvSNTx6YkNq0aRWAXJw6RedOfr4DgGc9FG+R7Uqo\neXkBVKDojUPpDKM8u55y/dGKQ+lRGkpFRQUWLlyItrY2tLW1YcGCBbjllluwfv16LF26FFVVVcjI\nyMDkyZOxceNGFBcXY8WKFbDZbDCbzfjzn/+Mvu2JpNauXYtFixahsbERc+bM4RjkWZEs+jf1jtKe\nRGoVDbWipNkAycgQYLEIyM6mKV1mzgQOHdJXWlWJ7dv53ml//3sOrFZBVUNhMJmoC+jx44F5HLFJ\nd/XVAgYPFvDCCzofoB08gRIfn4p+/eTaXP/+mXA603VpKCwYTZp/y9c4FGnqFZ7Hji9Qug13pkBh\nC4o0lodtcABt2m3p0lTs25eF8+f1a56BaijKfvZHS/IGvbnYgh2HAohas9Z46kzKix3ji4bSo5JD\nTpo0CXtZgQgJ5s+fj/nz53t8f/vtt+P222/nXmvq1Kn49ttvNe+nFCiDBtGMw9KU1tJJNGYMrWjo\nrQod432PHKHFk5hKzVKAMPVeq/iNFlwu/utqbrYgLEx7sLG2nT1rRUvLd5B7flHoTVKoDGz0FTEx\n4rOz84cMEfDss/LFbvjwdPzrX4IuDaWpifavdEJbrfLUK77YUILtNuxrZcZAwBYupqFICzMpaTfm\n1cOQkSHgzjuB9etz0NpqwZAhLjz/vLbm6Y+GwsZjebkVL7zgREyMSD8FmkSTB29CSmlDCTblBXSf\nSHl2jB4bCntPes3t3UKgdDaUAqVXLwFLlgBPPZWDqVM9d24/+IGAHTsAQciBycTf2WlV07NYBHdg\nJDNCm0z6EuhJoaYp2Wwutw2lrc3zd8+2OWCxvASXK9l9jC9JCv0VKNLytWVlTtx8cyqGDqV9aDZ7\nLnYvvwy89573OJTWVs88Xqyd/tpQAtVQupryYm2QUl56MXmygPp6mujw7ruBjAx999MrUJTj8Ztv\n5DYSX9Pc6IFeIeVvHIo3you2Qat99P9gaiham1Y9GornuuHd4yIkBYo0/TyLOL/uOgFjxwpQbNgA\nsIVKwPvvCxg2jH9NLZXabJYLFD2LGw8sDblSU5o/Px0bN8oXRO22CXC5gIED78KECeN89jii8S50\nwOqddMrBeeECXUQeeYS2hydcfYmUVxrk2fmB5PIKpobSVQKFBYeqPQuPN2eR8nodE3zVULzRT/6U\n+vUGb0KKZ0PxVUNRK7/d2QKFbbII8U1DUY4FfpYNbYSkQFFqKE1N2gOILVRaEbtaKrWU8mKZPv0R\nKBMn0gk1fXoOqqpoYru8vHRERAgoKqKDxMVhBfhtEzBhwufwVqaVB+YJ43SKk8Ub1BaR99/PgZZA\nAbxnG3Y6PQ3ygJzyCjSXl6/oSoEijYRmlBcb73rg6y7dVw1Fj40k2B5xeoVUIAIF0LahBGqUZyXF\nvYElitUqtqdHQ1F7T1oIWYHCit0wgaK1G2MDQosH11Kp2U45IkK9FoEe0MEq4JVXBOzfD3z3HaUj\niorEhJQ8DYXfNrvfnLQ/lJfa4GxtpTOENxHZd3qM8loaSni4PhuKxUJ3ddJkiv6iu1FeagWveLy5\nVEPRajejMM+fp7FM27enYuRIPZUag28j0QMtIRWoDYWNVS0NJVCjvN4NjtWqT7P3ZkNRe09a6BZu\nw50NNQ3Fm0DRGmB8l8xMLFmS4tZQGOXV3Oy7QR6Q79j79KFJLQHR+BYWxr8ur23Dh78hcxf1tR2+\nChRvi0hHaShsd65HQzGZxHxewdFQHFi+PBtvv52Lgwez3S6qHQ2eQPHlWaQaitqcYBRmUdEq7NuX\nC2AVsrIKdT2j1lzpagSSvl76vxRRUd7jPoIpUKSZzrWO8TYfeO/JG0JWQ1EKFK3dWGQk/U1NfQS0\nVepgUV7SSHmpQGELu83GX5j5bXvIb0pBakPR+xxqHPaiRelwOLQFSiAayuXLNJhTjw0FAMxmBzIy\nilBVZcW99zrx61/7F6G9eTONGfr6a08njY4ObpR6DCm9vJRQs6F426X7WhJZio6wkQSKYNhQAHXK\ny9v6ocfLS69AMZu902N64lCU76m42Pu9Q16ghIdTYeJNQ9Hj9qmmUkspL7Zr9mf3qyZQmIaiFYcS\nTE5aakPRK1DUFhGWViUQDUXLy4sVEuIVFFIiP9+B5uZCfP45XSjtdqC01D8h8L//y48Z6oh09UpI\nd6j+eHnpMcoHGivSWVkDfIU09YpyPGnBG+WlJpyUJbM3bUrFj3/Mz77hyybUW0yaHg0FkL8nk8m7\nl1fIUl5scWE0x6VL2hpKIHEEUi4/GBpKWBhfQ/EWKS+FMv7AF/jrNpyRQbMT2O25KChYiYwMQRIp\n73m8HhsKo7yU9eSl5zHKi2dDkWLNmqL2jLki/InQzs93YO/eUu5vHZGuXglfKC/eONBjlO8qO0hH\ngfWDv27D3igv3rWktOGOHbkAVmH5cj5t6IuGAngXKGo2lEARkhpKXZ3c6yUiggoU5W6M7R5KS624\neFFfnWwezGa5UT4YNpSwME8NRa8XSKAINLBRCi2BokdDYZSXmoYCiCVM/fVq8UUIsEWipmYE9/fO\nWHDZczKB0tbm22KkxyjfEbEi3QHBpLykwZu89UMPbciuUVlpRU2N/jWI0Z1q0Kuh+IqQFChSygug\nC/3Fi/IBpBWo6KtQURrl/V2IpZRXVJRcQ2GLh14NRS1vjx50tkDRo6HwjPJSgaLHhhKMXbe4SDgA\neM+u0BFgWrd0UfHFhqLHKN8d7SCBIFAbipLy0rN+eNvABLIG+aOhBLImuK8b8BV6IHgCRamhBGJ0\nVEJplAcCFyi9e1NNi7m5Wq30987QUJhQZPcN9FqANuWltbt2OBwoKyvCK6/I091Irx0drS+YdOnS\nVGzdmoXWVv+FgLxuOcAKWfXrdwR5eYs7bcFlHn9S92W90Luodlc7SCAIVENh/+tZP7xtYAJZg9h6\noPV7R2goIWtD4Wko0kkXzAR1SqM84N/LlO42rVZ6vfp6uVG+I20o+fkOpKVl44kncrF7dzZKSx1d\nqqHk5zuwcmUhmppW4dgxzwyy7Hy9NpSMDAFxcWlITMxBRIRvGZQZ5IuEAGAlgFzMmDG6UxdftkP1\npqHwxoHeOJQrCawfpG7DvgphQBzHetYPb+7TgaxB/hjlDRuKn1DTUIYOFb8LptFRSXmx73yFcsfO\nDPNSt+GO0lB46vf+/VnYvx/42c/8XygDsaGsWVOEU6fUd3Ds2ozy0iP8Bg0ScP/9Av70J6CgQOdD\nSNBdbAt6KS8e9FBeVyqYhtLWFpgNRc/64Y02DGQNstkoe6GGjtJQQlKgNDfLDbg8yiuYC4OU8pKm\nxfAVagLFHw3FV76Up35fvrwaGzfmYPVq/wWKlrulNw3F2w5OakPhZV7l9UFYGFBd7V8qdqD72BYY\n5SX1DORBLQ6FlQToiEWnO4L1w969Dnz5ZRHa2qw4dcqJ8HB9RnDWz2yM6V0/tGjDQNYgq5WfKJZB\nTy4vfxAiw0UOFrnKwDPKB3NhCBbl5U1DUYuUDwbUFm+nM7Absghif2wo3nZwUoEC6OtzJlC8xaxo\noTvYFpQ2FF81lMZGVsa6Y9rXHZGf78AbbxSiqkqewBTwbgRXaijBWD8CuYa08BwPhoYSRCgT5UVE\nAJWVnru4YC0MbLAFy4bC/g9EQ1GrH60GtcU7PDxwN1g1geJtMVy6NBXff5+F48f5OzipUV56PQZe\nHwRDoHQH+GJD4eXyamwMHfsJQPthzZrNOHvWPyM4z204GOuHv9ewWn2nvHxdE7jXDejsHoqLF7Nl\n3kA8o3wwIfKqgdtQbDZx1yjVULxFygcKnvodEZGJn/wkcNuAN4GiJnwzMmgp5dtuy4HVasFNN7nw\n2GPiDs5fDaWqCqplCnoKlDYUX8vZhppAAQIzgispr66GVm2kNWuKsH+/Ffv3OzFtmn+xdWoISYHS\n0LBKpsoyG0pHTSCphqIntkINTKAwSDUUXyPlfd2JKNVvh4NWVLzhhsAHo78aCgDMmycAEBATA2zZ\nIqdopF5e0s8MajaUykpg7Fjdze+W0Et5qdlQGOUVKkhOTkZ4+Gbub3qM4Fq5vLoCzLVfCqVjzblz\nckovGDaUbvL4nQ9pSo1evajRvKMmEBtsLEGcv/ylmkDpDA0FkKdOGTVqJS5eFILCw3qzoWjdg2UH\nuOYaT76f7dBZwGNn2VC6AwKxoUhTBYUSli5NxfDh/mVB7m4ChbcWqMe1+JZaSAshqaEwMFWW5enq\nDA0F8F+gMKHB1NajR60wmZy46qrhKC09A5PJivp6fekZAuVL4+KAY8eCY9jzV0OR1rs+dcrzuS0W\nuWddKNlQ9LoN8/ogFCkvu92OjIxkLFsGrFqVg8uXLUhJ0W8E746Ul7It3ig9w4YSIJgqyxb6jtZQ\npALFXxuKy+VZH/7kyfdAyOvu4zojTXpcHP2/MwQK7x5K9b283PO5rVa6KHpLDS5FWBhQW9vzBYrS\nKO9rkF5ra2hRXgw33STAahWQkOBbHFJ301B4a0xnJPTsJo/f+ZCqsp2loUhjUPylvBoblWprkUyY\nAPrU2EB3Ip0hULTchvWo70xDkWbflYLXBywgrKcLlEBsKFInklCBNJdXTY04vvWiuwkUnobiLTLf\niEPxE2lpOTJVtjM0lIgIkeP3VaBIM462tJQqfg1eihhf0NUaih6PHKVA0auhAP4HNnY12FjZu9eK\no0ed6NMnFYDgsw0FCE0NhY1DXwVKd6O8eGtMZwTdhqRAKShYKfvc0QLFbJbXU/EldbRnypNsxRH+\nqbGB8KX5+Q6sW1cEwIqHHnLiyScDcz30x4aiR31nlJevNhSgZ2ooyrFSVQW88ALdkYaFaddSl0Lq\nRBIqkNaUB65MDQXQjmsJhg2lmzx+16IzKC/ptX2xoXhSO6mgadHFzybTw7JzOrI+N1u09u9fBSAX\nX3whT8joD/zRUPTUJbdYqIDwR0PpiQKFRwOWlq4GsMnnSHkgtAQKw5UuUDoaIamhKNFZlBeDL5SX\nJ7VDdxf9+t2NUaPG4uhRF8aNuxZ1dTkYMkS/GuvvTiSYaf0Z/LGh6FHflUZ5vXEoQM8UKGo0IGDx\nOQ4FCC3K6/JlM9LSslFTYwXgxNmzlCrUi+5IefnaFsOGEiR0hYaiV6DwqR0BM2Zswpo1ufjxj4Hp\n04Hx44Ff/jIozdVEMNP6M0iTGCq/B7Qj5bWEWKjZUNRoQMDlc6Q8vV7ATeoR4GXS/stfsjBzpn5P\nSUNDoegmj9+16M4aiha106sXDUDjZdL1Bn9rH3SE62EgkfJa0BOHokRP1lB4Y2XkyEwAKT7XQwFC\nR6BQrVtOEZeV+Rbwp5U1uyvgj4ZyxdRDaWpqwqxZs9Dc3IyWlhbceuuteP755/GPf/wDubm5OHz4\nMHbt2oUpU6a4z3n++efx1ltvwWKxYM2aNUhNTQUA7NmzB4sWLUJTUxPmzJmDvLw8r/fvDA1FaZTX\n+7K1qJ3qaipQglGKVy86ot6Hv9mG1cA8nU6csOLCBSc2b6b0hV4NxWz2LCfcE8AbK/fck46FCw0v\nLy0ES+s2d1LFVD0IaRtKREQEtm7disjISDidTtx444344osvMGnSJKxfvx4PPfSQ7PhDhw7hgw8+\nwKFDh1BeXo7Zs2ejpKQEJpMJixcvxrp16zBjxgzMmTMHBQUFSE/XXuw6Q0Pxl/IC1KmdyEj/NRR/\n+dKOcD30NzkkDzz64te/zmq/jryNajaUmJiem7ZdOVYqK+n/RhyKOqjWnezxva9atxp12xXwR6Bc\nUTaUyPaKVy0tLXC5XOjfvz/GjRvHPfaTTz7B3XffDZvNhvj4eIwePRo7duzAyJEjUVdXhxkzZgAA\n7rvvPnz88cfdQqD4S3lpISKCFgtrbe3cQkjBrvcRTMpLzWkAyIHFot5mptWcPm1FU5O+9DU9Af5G\nyvt6Tk9GsLTu7iRQ/M3GEfB9O/+WfLS1tWHKlCk4duwYFi9ejPHjx6see+bMGVx33XXuz3FxcSgv\nL4fNZkOcxN8vNjYW5eXlHucvWrQI8fHxAIC+ffsiPDwJQDLCw0UekUnrYHyurAQiIsTPly8DVmvg\n1zeZAJvNjpMnAYvFt/PZdx3xvL5+vnQJMJs9f6cTwo6vvgLS0vRdr7KyDIAd4o6T/m42W2C1yo9n\nf2/f/g3efPNc+4JCv1u2rBAAEBXV1uX9E8jnr7+mn202/u9/+MMfkJSU5PE+OnI+dLfPUVHAgw8O\nht2eg7NnSxEW1oYVKx5ERobg0/XMZuDkSTvs9q5/Ppst2WO8ezuftza8/fbbAOBeL72CdDPU1taS\nmTNnkq1bt7q/S05OJnv27HF//tWvfkX++te/uj8/8MAD5J///CfZvXs3mT17tvt7h8NB5s6dK7u+\n9JE3bCgmqalZZNq0FQTIIh9/XNwBT0TIgw8S8tOfip8FgZCnngrOtQcMIOTmmwl5/33fzpP2b1cj\nI4OQ3/3O8/vSUkIAQlpb9V8rNTWL0OQp8n9WazZ59135sawP1M5JS8v2/6G6CS5epM9y6BD/d944\nqK2l56xY0aFN61YIxnyIiSHk5ZcDb0swkJNDyMKFvp3jrQ/0iItuo6Ew9OnTBxkZGdi9e7dbiioR\nGxuL0lIxBUlZWRni4uIQGxuLsrIy2fexsbHca/C49scey4LVGvykijyjfLAoqshIoK7O9+up9W1X\nQEl5Mfqpro7GBBQUpGLuXH3vRI2+qKpKV62h3RGu0N0F3ugr3jgINcoLCM586A6UlzQTeWurb9Rt\nMPqgWwiUqqoqWK1W9O3bF42Njdi0aRNWrFghO4ZI6lnOmzcP99xzDx599FGUl5ejpKQEM2bMgMlk\nQu/evbFjxw7MmDED7777LpYuXcq9Z0cE6Kmho2wogChQuot3iT+QChSeoH/kkSyYTPoEvZrTwMMP\nC6p91BlZWLsK/taUB0LHKB8smLvYy4s3dzoj87gMvilFHYMDBw6QyZMnk8TERDJp0iTy4osvEkII\n+eijj0hcXByJiIggQ4YMIenp6e5zVq9eTRISEsjYsWNJQUGB+/vdu3eTiRMnkoSEBLJkyRKPe7FH\nnjVrBZfmmDVrRdCei1FqsbEryIgRWWTDBkqpZWQQsnp1cO6RlETIsGGE/Pvfvp3XHSgv1j+DBq0g\n48ZluT93BP30gx8Q8tFH8u9YH2zYUEwSEjJl90tIeMr9vnoqNmwoJikpWQRYQWbNyuI+D28cNDXR\nPnj11U5oZDdBMObDoEGE/PGPgbfFXwQ6d64YymvSpEnYu3evx/fz58/H/PnzuedkZmYiMzPT4/up\nU6fi22+/9XrPjt6Vau0WrFb13bKv6KkairJ/zp+n/RMZ2cA9PlD6KSxMvY86IwtrZ0PZv8XFQFmZ\nvt0q01BCifIKBrqa8uoW1K0u0XUFgT1yR+9K+buFYjJgwB1k4MAV5Oqr+TtGXzF7Nr12UVEQGt2J\nUNtNDRhwR1A1FKb1REWtIJMnB6fPewIC2a26XPTYt9/uhIZeQRg+nJA//7nr7t/RziV6xEW30FC6\nAh29K/XcLTgAFKK6+gMANLV4MPjN9vCdHqehqO2mhg7ti759gxOJr9yl79vXBZxyFyGQ3aqhofiH\nrtZQOiKLha8IWYECBD9ATwpPSq0IQPCdAFiKEH/y9nSlp5ca5RgXNxhLlqQERdB7c7zo6j7oSOil\ndNX6wGwOLaN8MMZCVwuUQDfJweiDkBYoHQnP3ULH8JtMQ+nMSPlgQGs3FSxB3y045S5CoLtVZbog\nA97R1V5eQMdukvWghy1DPQfK3cJ//vMdqqs9jwvUCcBfyqurd+adYQj3tkvv6j7oSOjtX7U+MJtD\ni/K6UuJQAsEVE4dypUK6W6B8fvD5zZ6qoQAdv5vqDpxyVyKQ/jU0FN/R0wVKMNADl6GeiY7akfdU\nG0pnwFufh0IfeINaH4SaQAnGWOgOlFcgMGwoPQwdsSPvyRpKZ6CrOeWeBpa6o6HBiuXLncjKujKy\nLncGDA3FECg9Hj3VhtIdYPSBvA+UbtZffx06btaGDSU4fdCDH98A0HPjUAx0P6i7WesvhRvK6OmU\nVzBgCJQeDmZD8ZXyktY+CFUYfSDvg1B2sw7GWOjpGkow+sCgvHo4DA3FQLBwJWdd7kgwu9ORI1Y8\n84wTVmvo2p1M7TlaQgYmkwlX0iMXFQFpaUBpKSApVmnAgM/gJTRNSMhEXl7PTpTZkeD3WRby8tKu\nuD7Ts3YaGkoPh6GhGAgWrsSsyx2Nzqyr1BPQgxk/A4D/bsOG/cDoA8CzDzIyBBQUrITdnouCgpUh\nsyj6OxauJLtTMOaDIVB6OPwNbDRgwEDgMOxOchg2lB6M/HwHXnyxCA6HFT/6kROPPhq6xkADBroC\noWR3MmwoVzCUA/nzz4FTp0IjCM2Age4Cw+4kh6Gh9FCkpWWjqGgV5/scFBSs9Hq+kcfK6APA6AMG\nox+894GetdOwofRQXEnGQAMGDFwZMARKD0WgxsBQ340BRh8ARh8wGP1g5PIKaSxdmoqEhCzZd7TW\nR0oXtciAAQOhDkOg9FBkZAjIy0tDWloOZs3KRVpajk+eJUYMhtEHgNEHDEY/GLm8Qh5GrQ8DBgx0\nJxheXgYMGDBgwCsMLy8DBgwYMNBpMARKiMLgjI0+AIw+YDD6wcjlZSAA7N+/v6ub0OUw+sDoAwaj\nH4LTB91CoDQ1NWHmzJlISkrC+PHj8dRTTwEALly4gJSUFFx99dVITU1FbW0tAODkyZPo1asXJk+e\njMmTJ+MXv/iF+1p79uzBpEmTMGbMGCxbtqxLnqcngPVlKMPoA6MPGIx+CE4fdAuBEhERga1bt2L/\n/v04cOAAtm7dii+++AIvvPACUlJScPToUdxyyy144YUX3OeMHj0a+/btw759+7B27Vr394sXL8a6\ndetQUlKCkpISFBQUdMUjGTBgwEDIoVsIFACIbC/s0dLSApfLhX79+uHTTz/FwoULAQALFy7Exx9/\nrHmNiooK1NXVYcaMGQCA++67z+s5oYqTJ092dRO6HEYfGH3AYPRDkPqAdBO4XC6SmJhIoqOjyeOP\nP04IIaRv377u39va2tyfT5w4QaKiokhSUhKZNWsW2bZtGyGEkF27dpHZs2e7z3E4HGTu3Lmy+wAw\n/hn/jH/GP+OfH/+8odsENprNZuzfvx8XL15EWloatm7dKvvdZDLBZDIBAIYPH47S0lL069cPe/fu\nxW233YaDBw/qug8xYlAMGDBgoEPQbSgvhj59+iAjIwN79uzBkCFDcPbsWQCUzho8eDAAICwsDP36\n9QMATJkyBQkJCSgpKUFsbCzKysrc1yorK0NsbGznP4QBAwYMhCC6hUCpqqpye0k54gMAAAXISURB\nVBg0NjZi06ZNmDx5MubNm4d33nkHAPDOO+/gtttucx/vctGsusePH0dJSQlGjRqFYcOGoXfv3tix\nYwcIIXj33Xfd5xgwYMCAgY5Ft6C8KioqsHDhQrS1taGtrQ0LFizALbfcgsmTJ+OOO+7AunXrEB8f\njw8//BAA4HA48PTTT8Nms8FsNuPPf/4z+vbtCwBYu3YtFi1ahMbGRsyZMwfp6eld+WgGDBgwEDoI\n0Jbeo7Bx40YyduxYMnr0aPLCCy90dXM6DSNHjiSTJk0iSUlJZPr06YQQQqqrq8ns2bPJmDFjSEpK\nCqmpqeniVgYf999/Pxk8eDCZOHGi+zut537uuefI6NGjydixY0lhYWFXNDno4PXBihUrSGxsLElK\nSiJJSUnks88+c/92JfbB6dOnSXJyMhk/fjyZMGECycvLI4SE3lhQ64dgjoeQEShOp5MkJCSQEydO\nkJaWFpKYmEgOHTrU1c3qFMTHx5Pq6mrZd48//jj57W9/Swgh5IUXXiC/+c1vuqJpHQqHw0H27t0r\nW0zVnvvgwYMkMTGRtLS0kBMnTpCEhATicrm6pN3BBK8PcnNzycsvv+xx7JXaBxUVFWTfvn2EEELq\n6urI1VdfTQ4dOhRyY0GtH4I5HrqFDaUzsHPnTowePRrx8fGw2Wy466678Mknn3R1szoNROHd5muM\nT0/ETTfd5HbeYFB77k8++QR33303bDYb4uPjMXr0aOzcubPT2xxs8PoA4Hs7Xql9MHToUCQlJQEA\noqOjcc0116C8vDzkxoJaPwDBGw8hI1DKy8sxYsQI9+e4uDh3Z17pMJlMmD17NqZNm4Y33ngDAFBZ\nWYkhQ4YAAIYMGYLKysqubGKnQe25z5w5g7i4OPdxV/r4ePXVV5GYmIgHHnjA7RATCn1w8uRJ7Nu3\nDzNnzgzpscD64brrrgMQvPEQMgKFxbCEIr788kvs27cPGzduxGuvvYZt27bJfpfG+IQSvD33ldon\nixcvxokTJ7B//34MGzYMjz32mOqxV1If1NfX4/bbb0deXh5iYmJkv4XSWKivr8dPf/pT5OXlITo6\nOqjjIWQESmxsLEpLS92fS0tLZdL3SsawYcMAAIMGDcL8+fOxc+dO1RifKx1qz60cH1dyDNPgwYPd\nC+iDDz7opjGu5D5obW3F7bffjgULFrhDCUJxLLB+uPfee939EMzxEDICZdq0aSgpKcHJkyfR0tKC\nDz74APPmzevqZnU4GhoaUFdXBwC4fPkyioqKMGnSJNUYnysdas89b948vP/++2hpacGJEydQUlLi\nzgl3paGiosL99/r16zFp0iQAV24fEELwwAMPYPz48XjkkUfc34faWFDrh6COh2B7EnRnfPbZZ+Tq\nq68mCQkJ5Lnnnuvq5nQKjh8/ThITE0liYiKZMGGC+7mrq6vJLbfcckW7Dd91111k2LBhxGazkbi4\nOPLWW29pPvfq1atJQkICGTt2LCkoKOjClgcPyj5Yt24dWbBgAZk0aRK59tprya233krOnj3rPv5K\n7INt27YRk8lEEhMT3a6xGzduDLmxwOuHzz77LKjjIeRqyhswYMCAgY5ByFBeBgwYMGCgY2EIFAMG\nDBgwEBQYAsWAAQMGDAQFhkAxYMCAAQNBgSFQDBgwYMBAUGAIFAMGDBgwEBQYAsWAAQMGDAQFhkAx\nYMCAAQNBgSFQDBgwYMBAUGAIFAMGDBgwEBQYAsWAAQMGDAQFhkAxYMCAAQNBgSFQDBgwYMBAUGAI\nFAMGDBgwEBQYAsWAAQMGDAQFhkAxYMCAAQNBgSFQDBgwYMBAUGAIFAMGDBgwEBQYAsWAAQMGDAQF\nhkAxYMCAAQNBgSFQDBgwYMBAUGAIFAMGDBgwEBQYAsWAAQMGDAQFhkAxYMCAAQNBgSFQDBgwYMBA\nUGAIFAMGDBgwEBQYAsWAAQMGDAQFhkAxYMCAAQNBgSFQDBgwYMBAUGAIFAMGDBgwEBT8f4AxVA3t\na6ogAAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 56
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "counters.std()  # Standard diviation"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 57,
       "text": [
        "51.444682958135587"
       ]
      }
     ],
     "prompt_number": 57
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Plot density\n",
      "from statsmodels.nonparametric import KDE\n",
      "kde = KDE(counters.astype(np.double))\n",
      "kde.fit()\n",
      "fill(kde.support, kde.density)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 58,
       "text": [
        "[<matplotlib.patches.Polygon at 0x530af50>]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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      }
     ],
     "prompt_number": 58
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 58
    }
   ],
   "metadata": {}
  }
 ]
}
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