{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from math import sqrt\n", "\n", "def divides(k, n):\n", " \"\"\"Return whether k evenly divides n.\"\"\"\n", " return n % k == 0\n", "\n", "def factors(n):\n", " \"\"\"Count the positive integers that evenly divide n.\n", "\n", " >>> factors(576)\n", " 21\n", " \"\"\"\n", " total = 0\n", " for k in range(1, n+1):\n", " if divides(k, n):\n", " total += 1\n", " return total\n", "\n", "def factors_fast(n):\n", " \"\"\"Count the positive integers that evenly divide n.\n", "\n", " >>> factors_fast(576)\n", " 21\n", " \"\"\"\n", " sqrt_n = sqrt(n)\n", " k, total = 1, 0\n", " while k < sqrt_n:\n", " if divides(k, n):\n", " total += 2\n", " k += 1\n", " if k * k == n:\n", " total += 1\n", " return total" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plots\n", "plots.style.use('ggplot')\n", "\n", "from timeit import repeat\n", "from numpy import median, percentile\n", "\n", "def plot_times(name, xs, order=None, n=25, pct=0.1):\n", " f = lambda x: name + '(' + str(x) + ')'\n", " g = globals()\n", " \n", " samples = []\n", " for _ in range(n):\n", " times = lambda x: repeat(f(x), globals=g, number=1, repeat=n)\n", " samples.append([median(times(x)) for x in xs])\n", " ys = [10e6 * median(sample) for sample in zip(*samples)]\n", " \n", " plots.figure(figsize=(8, 8))\n", " plots.plot(xs, ys)\n", " \n", " if order:\n", " slopes = [y / order(x) for (x, y) in zip(xs, ys)]\n", " for slope in (percentile(slopes, pct), percentile(slopes, 100-pct)):\n", " plots.plot(xs, [slope * order(x) for x in xs], linewidth=3)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "args = range(20, 1000)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfsAAAHjCAYAAAAkDrYkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_times('factors', args)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAHjCAYAAADVBe2pAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nG/8AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_times('factors_fast', args)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfsAAAHjCAYAAAAkDrYkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_times('factors', args, lambda x: x)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAHjCAYAAADVBe2pAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_times('factors_fast', args, sqrt)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def exp(b, n):\n", " if n == 0:\n", " return 1\n", " else:\n", " return b * exp(b, n-1)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfcAAAHjCAYAAAA+MlaqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4oyEuxBCCBFnJNyFEEKIOPP/Afn6tw9mZtRwAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "exp_2 = lambda n: exp(2.0, n)\n", "\n", "plot_times('exp_2', range(20, 500), lambda x: x)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def square(x):\n", " return x*x\n", "\n", "def exp_fast(b, n):\n", " if n == 0:\n", " return 1\n", " elif n % 2 == 0:\n", " return square(exp_fast(b, n//2))\n", " else:\n", " return b * exp_fast(b, n-1)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfcAAAHjCAYAAAA+MlaqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXmYHFW5xt9T3T3d09M9M5lJJslkISErDAmLAVmFXL2u\n3AguEXBDLqCAiFG4LIqCgMqikIgggguKingxiOLOTRAMAUIWQgIkgSRkkkxmy8z09Mz0Vuf+Ub1U\nd1dVV1VXdVX3fL/nSaa76tQ5p09Vnfes38c45xwEQRAEQdQMgtMZIAiCIAjCWkjcCYIgCKLGIHEn\nCIIgiBqDxJ0gCIIgagwSd4IgCIKoMUjcCYIgCKLGKCnu999/Py655BJcffXVRef++Mc/4hOf+ASG\nh4ezx1avXo0vfelLWLFiBbZs2aI7I9u2bdMdljAPlbP9UBnbD5Wx/VAZVwa7yrmkuC9duhRf+9rX\nio739fXhlVdewcSJE7PHOjs78fzzz+Puu+/G9ddfj4ceegh6t9HTg1QZqJzth8rYfqiM7YfKuDI4\nJu4LFy5EQ0ND0fGHH34Yn/70p/OObdiwAaeeeio8Hg/a2towdepU7Nq1y7rcEgRBEARRElNz7hs2\nbEBraytmzpyZd7y/vz+vJ9/S0oL+/v7yckgQBEEQhCG8Ri+Ix+NYvXo1vv71r5eV8LZt2/KGI5Yv\nX15WfIQ+qJzth8rYfqiM7YfKuDIsX74cjz32WPZ7R0cHOjo6yo7XsLh3dXWhu7sb11xzDTjn6O/v\nx7XXXotvf/vbaGlpQW9vbzZsX18fWlpaFONR+gEHDhwwmh3CIOFwGJFIxOls1DRUxvZDZWw/VMaV\nob293ZaGlC5x55xnF8bNnDkTDz74YPbcFVdcgdtvvx2hUAhLlizBqlWrcPbZZ6O/vx9dXV2YO3eu\n5ZkmCIIgCEKdkuK+cuVKbN++HZFIBJdddhmWL1+OpUuXZs8zxrKfp0+fjlNOOQUrVqyA1+vFxRdf\nnHeeIAiCIAj7YW5y+UrD8vZDQ232Q2VsP1TG9kNlXBna29ttiZcs1BEEQRBEjUHiThAEQRA1Bok7\nQRAEQdQYJO4EQRAEUWOQuBMEQRBEjUHiThAEQRA1Bok7QRAEQdQYJO4EQRAEUWOQuBMEQRCEA9hp\nQ86w4xiCIAiCIErDOUc8xjESFTEaFTGS/jc6kvt8yZem2ZI2iTtBEARBmCAj3qNRESNpwc4T8aiI\nVMqZvJG4EwRBEIQKyaQk3tHhtGgPp9J/JUFPJZ3OoTIk7gRBEMS4hYscY2NcEu+McGfEOyoiNlbe\nvLjXBwQbBNQ3CAgGhdzn9D+7IHEnCIIgappEnGMkmkJ0WCzohUvz36JoPm6PF1mhLhTu+gYBPh9z\nxPU5iTtBEARR1XCRY3SUIzqcknrcwyKist53Im6+980YsoLdEEoLdygn4L46Z8S7FCTuBEEQhOsR\nRY7RERHRiNTzzgyjRyOSgJfT+67zs6x41+eJuAeBegZBcJ94l4LEnSAIgnAFqVRu8Vp0WEQ0kkqL\nuCTgZreFC578ofNgSEBDyJP97vVVn3iXgsSdIAiCqBippLTvWy7emX+jIyJgUsDr/AwNoXSvO+TJ\nDp03hAT4A+4cOrcTEneCIAjCUkRR6oEPR0QMR6Sh82j689io+fnvQD3L9robQgIawjkx99Vg77sc\nSNwJgiAIw2QMuAwPpQV8WMTwUFrIoyK4yTnw+iBDQ1gaMs+Id0O6J+71koDrhcSdIAiCUCWZkFah\nD8t638NDIqLDKSQTxuPLrD7PDKFLPfDcMLrHQwJuBSTuBEEQ4xzOpZXokaFc73tsZBSDA3HTw+iB\neqkHHgpLPfBQ2IOGsCTg1bj6vNogcScIghgnpFI8r/c9PJSSBD2SgmjCBrrXC5mAexBqlHriobCn\nJlegVxMk7gRBEDVGIsExPCQXcOmzme1kjAHBkICQrPed+TseV6FXCyTuBEEQVQjnHLGxnIhHhqR5\n8eEhcyvS6/wMoUZJuEONAia1hSB4YzSMXqWQuBMEQbic2JiIyGAKkUERQ4PpnvigiETCuIjXNwgI\ny0Q81OhBuFFAnT/fiUk4XI9IxKUuz4iSkLgTBEG4hHhMWtQmCXkq+zkeMybiggBp7rtREvBw+m9D\n2EPbycYJJO4EQRAVJpHgGE73wIcGc2Ju1L2o14dsD1wScOkzDaUTJO4EQRA2IaY4IkPpoXTZv9ER\nYyLu8QLhRg/CTR6EmwTpb6Pk1IQWtBFKkLgTBEGUSWZx29BACkODKenvgLTQzcjqdEGANAfeJKCx\nKSfm9UGBRJwwBIk7QRCEAVIpaYX60ICYJ+ZG5sWZAITCQlFvvKFBAKPhdMICSNwJgiAUyPTGBwdS\niAzIeuMRY73xYIOAxub83nhDmObECXshcScIYtzDOUd0WMTg4VT2n9HeuMcLNDZ50Nic/tfkQbiZ\nvJURzkDiThDEuEIUubRffCCZE/OBFFIGtnQHQ4JMyKWeebCB5sUJ90DiThBEzZJMckQGJPHOCHlk\nMAVRpztSrxcIp3vh8h55uXbT+egI+IbnIJzx3rLiIQg1SNwJgqgJkglpfnygP9cjH46IgM6R9To/\nQ9MET94/u3rjfOM68F/cC5C4EzZB4k4QRNWRSnEc7ktioD8t5v0pRAwIeX2QoWmCN0/IyQkKUUuQ\nuBME4Woyc+SDhzNinkJkcED30HooLGQFvHGCB03NniI76hXHqGs2gjAIiTtBEK6Bc8nfeKZHPtAv\nzZfr8jXOgHCjgOaWXI+8sZlsqVsNj8XAn/0bhPcsczorhAYk7gRBOEY8JuJwXwqH+5I43CcJejKh\n79qGkIDmFg+aWjySoDeXv9CtYlTz8P/ObeC/fQggcXc1JO4EQVQEaXg9hcO9OTGPDusbWw8EGZpb\nvGhu8aB5ggfTZzYjFo/anGMboWF5wmZI3AmCsIWxUTEr4of7pEVvKR3D63V+Jol4ukfe3OKBPyAU\nhBEQi9uUcYKoAUjcCYIoG1GUnKb09+TEXI/nMyYATc0eTGj1YMJELya0eshJiuuhUYdqgMSdIAjD\nJBPSVrT+3iT6eyQx19Mrrw8yTGj1ornVgwmt0sI3j4eEnCCshsSdIIiSjI6IONwriXlfj+QJrVQH\nTvAAzS2SiE9Ii3mg3uEtaAQxTiBxJwgiD845hodE9PWke+a9KYxGSy98qw8ytEzyZsW8sdlDns8I\nwiFI3AlinMO5NF/e151Eb480zJ6Il55XbWz2oGWiBy2TvGiZ6EV9kHrluqHV8q6ARwbBwk1OZ8MW\nSNwJYpzBRY6hwRR6u5Po65Z65qXEXPAAE1q9kphPlHrnvjrqlfON68BjMQinLHU6K4QJxK98GsLK\n34AFG5zOiuWQuBNEjcNFyaFKX09azHtSSCS0xbzOz9Ay0YuWSZKYNzV7INDCtyLEn64EYqMAiXv1\nosv8YfVB4k4QNYY0zC6itzuBvu4k+npKW33zBxhaJ3nR2ib9C4VpOxqhAs0oVAUk7gRRA4xERfQe\nSqDnUBK9h5KIx7RrYH+ASUI+yYuJbV40kJgT45Uafe5J3AmiConHRPR2S0LeeyhZ0oyrP8AwsS3X\nM28IkZhbA3VjCXdC4k4QVUAqxdHfKwl5T1cSg4e15wnr/JKYT5xMYk4Q4xESd4JwIZxzDEdE9BxM\noLtLmjfXWvcjeIDWSV5MmiwJemOzh8S8IlAZVz+1eQ9J3AnCJSQTHL3dSXSnBV3TcAwDmid4MGmK\nJOYTWr1kxpUgTFGbUysk7gThEJxzRAZFdHcl0HMwib7eJLiGnjeEhWzPfGKbF746MhrjPLUpDNqM\nx99cfZC4E0QFSSY4eg4l0H1Q6qGPjapXlB4vMGmyD21TvZg0xYdgA4k5QVhPbY54kbgThM2Mjog4\ntD+BrgPSvnNRo3fe2CygbYoPk6b60NJKhmPcD90fwp2QuBOExXDOMdCXRNeBBA4dSGBoQF3NfT6G\niVO8aJviRdtUH3lNqzpoiLrqqdH2GYk7QVhAMsnReyiJQwcS6D44hLFRdUFvbBLQ1u7D5Kk+NLeS\n5zSCIKyHxJ0gTBKPizi0P4mD++Po6VLfqsYEYGKbF5PbfZjcTnPnBEHYD4k7QRggNibiYGcCXfsT\n6D2UVPXc6atjmNwuCXrbFB+8PuqdE4Q7qc13k8SdIEowEhXRtT+Bg51x9PeoW5IJNQqY0u7D7LlN\n8NfHwGi4nVCjmv25V3PeFam13yNB4k4QCkQjKRzoTODgvoSmqdfmFg+mTvdhynQfQmEPACAc9iMS\niVcqqwRRtYg/vhPsnE+BtU11Ois1B4k7QaQZiYo4uC+O/W9rC3rLJA+mTq/D1Ok+1Adp/pwwAZkG\nBgDwl54F5h4F9h9nO5iL2rwXJO7EuCY2JuLAvgT2vx3H4V5lQWcMmDjZK/XQp/ngD5CgE2VSc0Pb\nZUBFYQslxf3+++/Hxo0b0dTUhLvuugsA8Mgjj+Dll1+G1+vF5MmTcfnllyMYDAIAVq9ejTVr1sDj\n8eDCCy/Esccea+8vIAiDxGPSHPr+txPo7U4qVi5MANqmeDF1Rh0mt3tRR6ZeCcImHFb3Gh1FKSnu\nS5cuxQc+8AHce++92WOLFy/GBRdcAEEQ8Ktf/QpPPPEELrjgAnR2duL555/H3Xffjb6+Ptxyyy1Y\ntWoVeaciHCeV4ji0P4HOvXF0dynbcM/00NtnSHPoJOgEUQFoFMMWSor7woUL0dPTk3ds8eLF2c/z\n5s3DCy+8AADYsGEDTj31VHg8HrS1tWHq1KnYtWsX5s2bZ3G2CaI0nHP096bQuSeOA/viSCaUw7VM\n8mDaTGkOnYbcCaLCkLjbQtlz7mvWrMFpp50GAOjv78f8+fOz51paWtDf319uEgRhiGgkhc69cXTu\nSWBExW1qc4sH7TN9aJ9RR4viCMIIVmsxibstlCXuv//97+HxeHD66acbvnbbtm3Ytm1b9vvy5csR\nDofLyQ6hg7q6upos53hMxN63RrB7ZxS93crb0EKNXsyeG8SsuQ0IN9q3lrRWy9hNuKWMB9J/jeYl\nFghg1MR1lUStjBP19YjCmrwPAPAH/Ag4VA4DAMKhEFiwwZH0Mzz22GPZzx0dHejo6Cg7TtM13Nq1\na7Fp0yZ84xvfyB5raWlBb29v9ntfXx9aWloUr1f6AZFIxGx2CJ2Ew+GaKWfOOfp6knj7rTgO7kso\nelvz+RjaZ/owfVYdJrR60us/RmFnEdRSGbsVt5Wx0byIY2OmrqskamXMR0cBWJf32NgYEg6WQyQ6\nDJbScNVoM+FwGMuXL7c8Xl3izjkHlw2dbN68GU8++SRuvvlm+Hy+7PElS5Zg1apVOPvss9Hf34+u\nri7MnTvX8kwT45uxURH79sSx7604osPFLyVjQNtUL6bPqsPkdh885DaVINwLjcrbQklxX7lyJbZv\n345IJILLLrsMy5cvx+rVq5FMJnHrrbcCkBbVXXzxxZg+fTpOOeUUrFixAl6vFxdffDGtlCcsQRQ5\nerqkXvqhAwnFabrGZg9mzK7DtJm0MI6oEDRfbAHOlCGv8XtXUtyvuuqqomNLly5VDX/uuefi3HPP\nLS9XBJFmdETE3jdj2Lc7jrHR4pfR6wOmH1GHGbPr0NxCNpmIaqH6hYXv2Ab46sBml7kbSqz+snAj\nVBsSroNzjr7uJHbviuPQfuVeesskD2bO9mPqDB+83vzRIT48BBZqrFBuiXHNOB6ZFO+8HqgPwrPq\n0TJjInG3AxJ3wjUkEhyde+LYsyuG4aHiufQ6P8OM2XWYObsOoUaPYhy8pwviDZfC8+CTdmeXIMYp\nFouxU8Pj431YniDsJjKYwp5dMezbE0cqWXy+tc2LWXPrMKXdB6HU4rjYmD2ZJAglalwgSlMDIxc1\negtJ3AlH4Jyj+2ASb+2IofdQsaJ7vMCMWXWYNdePcJNyL50gCIexQtsdayDVqKqnIXEnKkoqydG5\nN4633ohhOFI89B5qFDBrrh/TZ9XB56uBXgFR24zjOXcJC35/DY1+8IF+4NABsAXHOJ0VEneiMsTG\nROzZFcOeXXHEYwUvMwOmTvNh1tw6tLZ5afskUT3UkDCZwpJ3tXbKUPzNA8DG5xXX/PDtm4Aj5oE1\nhCqSFxJ3wlYigym8+UYM+/fGiyzIeb3AzCP9mD2/DsEGGnoniHHJOBmVF+/+Jtj7PgL2sQsrkh6J\nO2ELA31J7Hwthq79xa7Y6oMMs+f7MfNIPw29E+OTWumsVvWcuw246LeQuBOWkbH1vnO78iK55hYP\n5izwY8p0HwSBRJ0gqpI8AaviYXk7hHjTev3JD/RLK4fRbn0+QOJOWEBm5fvO7WM43JcqOj+53Yu5\nRwVkjltszY3N8ROEBdRK25bWx5hGvO5iYNJk4Cd/sCV+EnfCNJxzHOxMYOe2MQwNFkyoM2DaTB/m\nLgygsZnm08uB9/cCzS1gAtnLrxmoDeoenBpKTyWByJBt0ZO4E4bhnOPQgSTeeHUUQwP5oi4IwIzZ\ndZiz0I+GEIm6FYjXXgT2mS+CnfFep7NCpEld/Vmwj19UMhzfsQ2YdzTtAHEltd3CInEndJMZfn/j\n1TEMHs4ffvd4gSPm+DFngR+BeuphWs7IsNM5IOQMHgZ2bisZTLzzegi3/Qhos2delTAGTyYAMDCv\nS6TPxjafS34h4WY45+g9JIl64Zy6xwPMnu/HkQv88PtJ1AmiiFruIFoxIlHB8hFvvgqY0ArPV26p\nXKIOQeJOaHK4L4nXtoyirydf1AUPMGuuH3MX+l3mO52GPwmiYlTbdENXJzB0WPpcy40ukLgTKkSH\nU3j9lTEc2Je/T10QgCPm1GHuUQEafidcR+qSZRBWPQpWH3Q6K9pUaBEXH+gDBgfAjphjTXyJOHhU\nPkVUjVvh3NQgsS8vJO5EHrExETu2jWHvm/G8+ocxYOaRdZh3dAD1QRJ1wsUkYoDbxb1CiD++E9i5\n3TIXyPxnK8FfetaSuBwjO9pQ2113EncCAJBMcrz1Rgxvvj6GZIH9mSmHXsRRn3s3QuFqWP1e2y8s\noQNWBY3PtMDwRALM57MvnVSx3Yly4H3d+Qcs6XhWuCddlFzl6gz+5usVS4vEfZzDOcfBfQls2zKK\nsZH8h7xlkgcL1tyOCV2vwBOmbVil4NFhyZ98OOx0VsY5bhp2VSEzLBaPAXaKu9XD/0Xx0bC8IXq7\nKpYUifs4ZvBwCts2jRQtlgs1CjhqcT0mt3sh/mmvQ7mrPsQf3grs3A48usbprIxvqkDba4ZqW1AH\nAMNpwzEusgNvByTu45B4TMTrW8ew9614XqO5zs+wcFEAM2bXke13MwxHnM4BAVRYcFwuEHYLWJVW\nE7zQRaUVceqyNldQYDY+qyTu4wgucuzYHsGWDREk4rmXnjFg1jw/FnT44aurgvlKt0LmYd1BNfYm\n7aIaeqfVkEc9iDrWN1Tw2SRxHycMHk7ilQ2jGOjPfwAnTfGi4/h6hBurYbGcyyFRcQmVvA860tIU\nr2oXtmp95rn1RS/oqEMr2JAhca9xkgmON7aNYfeOWN5zFWwQ0HG8NK9Odq8tgsrRHdB9yFGlvWKe\nSAAejy5nSZxzYGy0pG0D21eqe9w1cueu3BCWcuhAAmv/OoS33sgJuyAA8zv8OOsDYUyZ5qs9Ya/O\nuoywkjIfaT54GKlLlukNXTqI5jvGwDt3Q3z6TzrTM4rdc+721B/i5R8Ff+oxXWH5v/8J8UvnQfzr\n46phUledD/HeW2UXZf/TjjuRAB8dKT4eGUzbqdeRv0MHID72E+nLQB9S37hC13XlQuJeg8TGRGz4\ndxQvPhvFqGx7W2ubFx/8yBQsOKYeHo/Ol7LWxJ+oWfjbb6U/lfnMDvYrx69QyVuBePNV4I/+2Ja4\nIeoXd55MQvzFvfbkwwwH9+kL198LAOCPP6weZiSaWyUP5I9oaBQRf3gVxC+dV3Rc/MqnwVc/UhBY\nJY4X1oL/Q+azXf67bKxfSdxrjANvx7HmLxEc7My1Kn11DMedFMQpZzWgsdnGPbVuwMm2CI0aOIp4\ny5etiUjhPvLuA4qVvPkHjhf8tR4eHQYiA4rnUis+BXHNU/kHd20Hf/bvxWFvuhLi7zWEs1zUikC3\n8NlYht0H1U8OKDcCiyPROmdf3mnOvUaIjYnY+vJonqgDwIxZdTjquIB5j23UcyeqDhsqzJGosRxs\neRGYPiv9xZlWn/jlC9RPDg9JNhmWfigX/ntfL47jtw8B+/eCe33ARwDs3pEfwNb6QWfcpoqX23Bf\n1OJz5v6TuNcAB/bFsfXlUcRjuYcoEGQ49sQg2qbUeE/dVVDXvVJEV90CfsKpYMeeZEPsSl13A2EB\niPfeCrbkdMtyZAs6hJn/s4RNekvE3YH3xookdQ8saCRG+9wJJRJxjq0vj2D/2/m99ZlH1uHoY+vh\nq6NeN+E+eE8XMHGyrsWc4jN/Bd+6AZ4v5vcqE+v+D4iNwZMWdx6P2ZLXHCbUQM/vu/MGE3nRhr+2\nBeKDd5UO6PZROd3ZM6PU3OR1WlGqTbpbm4xeaM69SunvTeKZvw3lCXugnuGd72rAsScGLRR2l1cA\nbqJKtx1VGvGGS4GN63SF5evXAlteVDzHZM8mf9jmhWDlWDTTEtH91pt35rteAyKDpQNaIe52NhDc\n0PiwpNdNPXdCB6LIsXN7DDu2j+U9MzNm1aHjeOqt1yy9h5zOgaXwsVGdzUZ9FSPv71YPZxSrGmlO\niZPu/Lu9rtA7527iftnREHdZ257EvYoYiaawcf0IDvfmrMz5fAyLT6xH+4w6B3PmIlz2glkFP9jp\ndBYsxmJhsXvUxEz8GXF364iO29212tn2yBuVN3t/3N04InGvErr2J7DphSjkdhNaJnlwwskNqA/S\n7ErN44YhSitx+WKkYuyZc7eHCvbc3fBcuqbtpDbnrpVB2uc+bhFFjte2jOKl53LCzhiwcFEAp54V\nsl/YXfDuGoHv2el0FqqK1O3XSgvcKk61PVhmLnJqWF5nOCPCrCZQliyWV93orjcCM4nqC5aIFx0S\n//So9KEwe6q/QyMtFYNJVkDi7mLGRkWsXzuMXa/nVgLXBxlO+48Q5h0dAKsyt6zi+rWaJiItYed2\nU5fxg/sMmBxVi8Q1XQj97HoN/K03nM6FKfih/TZFrHTMTM/dYBpEPmWOCvDtm9Vdu3Kd+9wVFjzy\nVzYoR/nEI4rHle512XWNDkjcXUpfdxL/+nsEfT25+fW2qV68671hTJhYydkU6xoQ/Pe/0DYR6SQH\ndJq6JKzBiuHcA2/nPruyYZX+jRUfutZZFm4YUgdQmF9uwb3km9dDvPsbwO4dSN36lZJpKiH+9G5j\naSpY95NOOPNskri7kD07Y3h+7TBiY7mHYsExAZx0RgPqzFqacwMVqUscrORdKTAuxYo591RKXzjD\nKHbdjUejtaDOxneB/+m3+gJaIu469zz0devqrfKeLoiXfthI1IqIP/y2FN/eXcDeXWqpaefl+TW6\n0+OavtxJ3Mc9osjxyoYRbN04mq0P6vwMJ5/ZgPkdger34MYq8bhVeRmpUe33vggLfk8lG1O1OCxf\nyX3uQ1r77qU4eDxW0l576pJl4GOj+Qdl94aPjYDLTQXrnAbniQTEvxidMsz9dvGGz6sHc+he02p5\nlxCPidiwbgR93cnssaYJHpx4Oq2GN0TNiWCNYvV90unly3BcWsdKUkvPYtmFWvKceNOVwOBh2XGV\n8ksmANQrxi3efl2+9ze1W1B4Pzt3g//+YeADH9XIpwZ9WnYWyLb8uCUymMKLz0UxMpxb/NE+04fj\nTgzC43W4grCyEq6E8NLQuHGoQVQSbsCSHH/zdemD28s1nT/+8jrghFPyTvFUCsldr+mOwxIKd22Y\nibunC4iN6Qubdcxn0omMy+8vdQkdprc7geeejuQJ+4JFAZxwsguE3Woq8jKYFPcaK+pC+OgIUrd9\n1elsgOuteLMX6Fj49OSvAZu3QPJHH9QdVvzdT6UPeRb0eiE+cIclq6RTP/y2NYvO9r4JABB/9N08\n87pcFMGf+weGv355LnBvN1LfvrqMxLScpqsc11tf5F1vcvucnZ0Chzoc1HN3kP1vx7H5hZHse+Xx\nAse/M4ip011kba7GRa+a4T1dgOABa51UOnBPl+0CqAf+mx/rDpu66vw8V6t8/17A48kFaJsqHf/j\no+byEosBDGB1flPXS5EoHDt0QDqVmT9mDOKDdwKynjAvxz/65vUAFwHmKR1WBh/oAzxesHCTdGDv\nLqR+cEs6j7lw4neuKX5WRoaL3b0Chhvs4gN3QPj8/xi6pizU8pdIAN60x0yzfgOcdzevCYm7Q7z5\nxhi2b871YvwByelL04QaviUuH8Yqmwq30MUbLgVCjfDcrbK/Ng8dPeA//ArwByC83+S8o55cZOZD\nNZ4FnkpJc5gFPtTFm67M+85OfXdZeRFvvhIIN8Fz/Z35x79zTfZz6pJlEH6gc/U5AN7VmZvz3fdW\n+qDCsG/hojCl/D3zV+l+nHyWVG6BIJg3XT+YeNTE6y8FJrSCveO03MFXXioOaEcjMP37+YbnAKvF\nXV62RY+V8nPGX3oW7JSl0uctL4K1z7Q2T/mp2Ri3OjQsX2E459i2aTRP2EONAk5/T7i2hR0ADQOU\ngZoY6nV1qqN+4X/6relesG4yHt60xP1ff4P4NY3Vx1bR05W/V16NuMZUQuHPyJt2KNMIyyP3gf/6\nRwAAccWn8nv7BY0FPni49JB/MgEMR8B3bis+t31LWXm1BbVnRKuTYKYDkUrau2CS9rnXPqLIsfmF\nEby1I1cht0z04LT/CCHYMA5uRa333J1ooVu9nckN92g0WjqMVej6vSbNtFpiQVIWx+G+3OdXCtzg\nDvRBFypZElfeZChXlcEKl6pal3FZoNpbiFvrXUXXIKY4Nq4fwcHOnOeXqdN9OP7kIDweF1SolaAi\nq+XNXuj2e6CWP4sn/iom7m4pbx350CoTzWK1bx85Hx4yGTuztidpRVzlxqG5oE51L5zmV01kaw/E\n59eAr1+rHZ4W1NUuqSTHhnVRdB/M7WGfeWQdFr+jvgrsw1fZVjgnceIdtsLSW158UoTig98DO+kM\nsGNPMpf+cNgtAAAgAElEQVQvfck4j9U9dx1xG1rpbvWoiuvrGxkFWeUx5Sko/vfVuS+Foz561g/0\nHAT3B7Jfxb+tBn/1ZV1Z5JvXA9s3lQhE4l6TJBMcLz4XzTNOc+R8P44+rgYszhFZeGQIsMuRiRam\ntgtpRigFf/EZ8FQCHpvEvaLW0cqNQytIkWcwg3GXk3ZeuhV08+oQZnYYaHqJTBcZ//sT2UOpW7+i\nYa62AMbA6gIlXy2+5il98VnMOJjodY5kguOFfw3nCfu8o6tM2KvNiE0Fus98bKT44OHeokOpm64E\n369jwVZZaCxMGxsBz/gJ1j0sX36OXJaQNnZmwxJxV6mizT7mTtU7kQHVU/xvv1c+UZBX3tWZ/Zy6\nZBm4Hg+QyWTpMHJKCDvXu7bBBZC420QqKfXY+3tzDgUWLg5g4aL66hF2qynjd/NEAqKaS8Uy4Qfe\nhvjjO3SHF688D3xL4RYihdp2/17wN3VY+SoHjSIVrzwP/Jf3SV90D8tXqEqwZK1Z5RyfqFLJEVf5\n7y1nqNeBYeKMI5e8bEQjJa4quDdvv5l/fe+h0gknE8rHefY/XWTcIovXfE6WPQa+Xr9zmUpD4m4D\nqRTHS//OH4o/+rgA5h0V0LiK0ORQJ/hTj+kIaLyy5lteyvcwpueawQIHF3bXl6o/S/v38u6DxiKv\nhXan2Tlto2FKJaN23Y5XS6dZKg6zC8Jc1LEQv/xJ7QCFWRV50XlewtEMUgZ77iqI37mmuDGiw1aB\nk5C4W4yY4nh5XRQ9XbmHauHiAOYsIGEvq2KxVTytiNyhrTRae7DlmJiTZfaOWdsYtwH8et5LI3mV\nG1RRrl7Fu76mP7oh+XA2yy3GM/u4DQ0A0WGTFxuHm7X+BiC7/qP7QPp3F/9o8ZoLtaMoJf5GKLQt\n8NKz1sVtAyTuFsJFjk0vjODQgZywz+/wU489Q+ce89e63SFMYa+iUhidU1RELkgVEl239CAF9Sow\nM/UirlDpYTIAiXjeIVFuf93qn1i4enz7ZvAd+QZpUresKB1P9wELM1VM6oe3gff1AADEz59TtEaF\n79uN1A9v0x2f+LUvAJvWyx5TVvDXJEbrFLc8szohcbcIzjm2bR7FgX25OZ65C/2Y30HCnmXSlDIu\ndrm4252/MisWnjGFqnTuxzLzqxEtv9sq1/d1g29+oei4+OK/JPv3OhB/thKpS5ZBfOGZrG32vDQU\nGzFlrOHIuBbVqODFf/1VMwwvVVbZnjsHMp7iyoC/8Az4Yz/Nxine/Q2Id16fH6hgXtoRNr8ALp96\nSOTPe/MtLwAKz0sRcsc7Rh0O2QKJ+7jkzddj2L0z14qfNbcOCxdX0ap4CxD/9FvwXRorWFvbzEeu\nWzsr1AgovK8VHlngB/fpD/vyv8F/9aPi47IeleKqfoVnl48UD+mK110MUaEnxh+8S7J/r0Rh8a17\nWvr70Peyn/POP/MX5Xh0wA/ug/izldJnzsHFFPhz/5BOFjQ+8sq1lFD2F++QyCO9mIu/peBwxSR8\n28b0h9zzxocOQ/z5Ss3rrPBGZwim+sVAHFr7DMvElItX65KvBCTuFrBvdxyvvZJrWbbP8OGYE2pk\nVbyB38D/8CuIf1XZ1gJoDoGWjrycubtScbt9VKAY8RtX6A/7o9uVT/TkVhuLN31RX1xXXZC3sIir\nzN/yt9VHCorCbt1QOpDS4iWd6w34y+tyjYffPgTxqgsU7znftT2/XFXma3lmHryUgZR0w4H/7B5d\n+VQjT5gzjQ9Z9vnrW/XZyLcDtXdHvt7Aqk0NhWmVVb8qz+HXEiTuZdJ9MIEtL+V6QK1tXhz3zmBt\nCLsZtBbQuHZBnQVY1EBI3f9d2d50OdY9T7yrE+LPV6kPN5daYS8bZhW/fIFyHDILX+JLz0H81f0F\nIXK/R1z1Le301DCx3oDv3ZVuKCiI+xv6VrHzf/1NX2IZ16q2IFd3l78cRaNcJuNx/GdWV51O4l4G\nkcEUXl4Xzb5bjU0CTjytobZsxRsVZINbyvSj8812e0VXio3rgMiQrUnwl9eB//uf6uf//DvtCPQ8\nE/Jh4//7E/jagmF1Kxq/rZMg6vIPr1MIdT87LnjGdG1xdJC8+2tZ192CeGQYja7KOmwk7iaJx0S8\n+Gw023kIBBneeWYIvrrqegCsx6aKz+2i7fb8GUBL+AFY1IGxpsLn//en0sGUbk05t8sFt1rX73aS\nPJv4FsQBOP+OVVnVTuJuAlHk2LBuBCNRaQja4wFOOj2EQD0Vp23Y+WJb7Nkq9rfVSH3/RunL7h3G\nHIUA9lciTleSQGUrSqt75G4oPzluyw9QMC1pWt0Lvls45+6+IrMcUiODcM7x6sbRPOtzx58cRNME\nj4O5IuyAJxMq898KRHND6YkN64DXtkhxPPcP8H8+WX5mLB0S5AV/jeKWLkwZol2WILpMGVwo7pY7\nzWEMiMdVg5rCaLklrLF2VynIK5xB3n4rjr1v5h6yhYsCmDq9zsEcjRP0imwaPnQYqG8A85m/N+Jt\nXwUCQXiu/S7EF/8F1toG/vQflcPKbWd7Cxp6hp1N2Cye5ZoqNVxxKyRYSbvw8uQtGaUpPwpLcaO4\ny9Fxr/n2zRXISHmI11/sdBYMQeJugIH+JF7dmNuSM22mD3OP8juYoyqjjApd/Nvq0oFkaYhf/SzY\nWR8A++RlmsH5/reLfUBn6NwDpBsH/MG7FOv01Hf/B8JXby3IQ8GAmFPW69Qo14SpJdjZgNGzaI56\n7vaiPueutE1SvP87ClGoNS7TfyvdIHCFIR39kLjrJB4X8fK6kexOr8YmAYtPHMdb3sygsxIS168F\nO+4ksEBQuiwaAV4z/iJnrZBppVVqf3ep2/vm68BwvkOJ5MbnCzJicI++7c9UBcSg1L12+rUpZ5Gd\n28TUThsQBpG/czxjla+wuDavL75Q0QkLA9+2SfqosAun5MLPkth7H/lIVJ8NB5soKe73338/Nm7c\niKamJtx1110AgOHhYdxzzz3o6elBW1sbVqxYgWBQqohXr16NNWvWwOPx4MILL8Sxxx5r7y+oAJxz\nbH4ht4DO6wXecVoDvF6na6gKYKPQ8GgEYAwsGMo//pPvA5++Auxd7wOQNtiid0+zvOKt1NBvtT0G\nZddpRn+wUngr5mT1xqHxg80YVnJbI8AljQ2+9WWIq27Ofhe/+z/S8S0vmoswHoN4zzelz1XWawYA\n8Y7rgP17HUu/5JO9dOlSfO1r+V6MnnjiCSxatAgrV65ER0cHVq+Whkw7Ozvx/PPP4+6778b111+P\nhx56yPhKYRfy1huxPGcwx54URChcvQvoeOcecNGu/ej6K23xpish3nZ16YB5nrHsyUt5lEjHaCPD\nymwrmgMu852susaMxj53+RSK1avqh+21V5DFyTo2nTYf6M8zPS3+789yQX7yfXNRr/1z7vMff5OL\n+yplw0kGY7e14847dzsq7IAOcV+4cCEaGhryjm3YsAFnnnkmAOCss87CSy+9lD1+6qmnwuPxoK2t\nDVOnTsWuXbtsyHblGOhP4rWtuVbjkfP9aJ9R3QvoxJu/BL7+GZ2hLVg8pcZAP9DfbTB+A1jScS/D\n37elGbGQdIUs3qrDg5gS1TYVpfRIDqZNy5rqudunCjyVkv4ZWoTpZAcq/Sxdc2G+8aPeQyrhTWLC\noZEmXp+18RUSi9kbvw5MzbkPDg6iubkZANDc3IzBQang+/v7MX/+/Gy4lpYW9Pdb6E+3wiSTHJvW\nj2SntJpbPDjq2Brx8pbQu63E7orDPqGw1R+5FUY6ChCfX6N+Mj13x3e8WnbFwZ96zNx1Q5n5VPUf\nzKMRQBSlnkvuaHFAxiCufgTsmBP0pa3gTEY/CqZmn/279EHwgCcSEC//KHDcyfqiU7Cnn7r3Vni+\n+PUy8igh/uBbQGaeWS/VPjjq9RneDVMubO7R9ibgghFrSxbUmVlUtm3bNmzblvNFvHz5coTDYSuy\nYxkvrTuM4Uhmnp3hjHdPQrjJ5hafzdTVSaMOgYAffh3lPSQIEAFd92YAgNfrRUgl7LDXh6QsrgEA\nYKwo7gEAgUAgmz/5oHypfER9PmSqCW9dHRpKhC8c8JfHL89fYbhM/gYAhEJhaA3A1vnrUK+n/H56\nNwAg1BCCUJiPdN4G7/t2kbMWeZ5j//cUxM49qP/MFUV5zoTVO8nh9fnyyi+xYyuiAEKhEJKvboTY\n3wP55E44HMbQTVdCLBiO9Hg8SBWkXR8MIvrnx8D/rLOhoWBuNeARoLQMKxQKQ2jIreMYSPcow+Ew\nIoKQl2ck4wi8tgkjgPJCrwLC4TAGMq5g5Wx5EcJPvo9yJrvC4TAG9+w0rNV+LsKpGWlBEAw9U0qw\ncBP44RIe9iwm2NAAoaFB870tK/76eii7VFLmscdy70FHRwc6OjrKzoMpcW9ubsbAwED2b1OT5CCh\npaUFvb25m9TX14eWlhbFOJR+QCQSUQzrBIcOJLBze26LVMfxAUAYQyRSfQs75GSEYCwWQ1xHeYvp\n7QF6700ymVINm0oli+NiynGr5a9UPkSZU5NkMmn4mSoKz1XyNzaWzd9wVGUrXZp4PI6kgXwMR6Ng\nnuJGZCQSUfTClskfF0WIP5YWvSbmKVcORspDXn586waIjz+czt8wxHtuUoy7UNgBIJVe6Txw2zXZ\nY6OjSrJsjNGH71U8PjwcAVPYfhiJRLJ5yeIPYOT3v9Sdplb5Jdav1R2PEkNvbDPV4RtTcOdbKURR\nLLvedmJd1shIFBDs2yw2UqJOKGT58uWW50HXhBPnPO8GvOMd78DatWsBAGvXrsWSJUsAAEuWLMG6\ndeuQTCbR3d2Nrq4uzJ071/JM2008JuZ5epsyzYcZs6t7nt0VKL7EFg+dy5Ow2kqW2UAWzVGn5IZy\nCuA9XXkGdsSVN6uG1Y3sfol//p1sgZDy7+HdB7Tjk28LcmrevvAZ9NUZWvgkPniXxRmSxf3NLwIj\nRvp7NYJjazjsbFRUwbD8ypUrsX37dkQiEVx22WVYvnw5zjnnHNx9991Ys2YNJk2ahBUrpIU506dP\nxymnnIIVK1bA6/Xi4osvrsp94Ns2jyI2Jt0cf4Bh8Yk14ps9D5f8HrVyNd2az1N3k3EYpGQyRlfL\nq4RXGjZumQgAEG+41FgaRtFzP9R647teszYvJsnzi55Bhy0EOfzFf1mUG6KmcV7bS4v7VVddpXj8\nxhtvVDx+7rnn4txzzy0vVw7SfTCBzj25od3FS4Lw+8kEf6XgUfdMzQDQZ4LVyYafx0Y7VAZ/F39h\nrT35KIPUN65wOgvEeMQFhoVItWQkExyvbMgNx7fP8GHKtOpeQOd+CgTkjVelvwmzq2dl8QkWiO7o\niPJxW+cJDeRbcI+9Bf6PP+gPXKkG0cF9lUmHqD5sHZV3vutO5mdlvL51FKMj0k3x1TEcc0K9wzly\nAYYfUo3wShV6wSHxhfT+e0vmHvMjF//yONj8DohPPQYWqIdw6TUq1+mDD2S2eZaacy8rGefithM7\nxd35epUwQs1NeYLE3U0M9Cexe2du73fH8fXwB8wPbPDtm4CRKNiS063InvXY9UIZdeZQaFN64zrp\nr859r7z3ENDXDbZgUfG5A/kLpfjvH845Oy3DW1wG8ZoLpQ+lirKvp+y0nEH2wyyvrGqwQh+POK9h\nLsX5gqFheSDroz3DpCleTD+ivOF48cHvQXzgjnKz5jwqjQD+5usyoybacDGVt5I6pWcl90gUfNdr\nSN3yZc1g4s9XQbxLMo8s/mwl+Isyy3uHivdG51375G80z2siK5dS5jD5hufMp1M6IzbGLcMFPRGC\nsBY77c/qDDdnoW1ZIHEH0LknjsN90v5XQQAWnVCLq+OtRfzu/0D85f26wvJn/wHxa1/ICcSrLyuH\nkzUA+No/Q7z9WkDBPWT+Rbm3qMiKWYlbyFXyURROwSOVrbj+0SOhJ9JY0egzYwK4XBIJ8K363n9T\nuGBB3bgflk/EObZvkdmOX+BHQxU7hXElav7SC+CbSlsIU7hK/ZRWA82IgKZ0eqSzCjc2LK3uubvw\nJxLOwOYeJU2vVZCMxzrbcIHnwHHfc39j2xjiMamAA/UM846uEdvxlcCox81SomXmQde6RjM9A+ri\n5o6qnQ0Btaj7rTAVSupOpGE1KEN6beWTuNvDcCSFPTtzTjg6jqsfHz7arcKoP+29b9qWFUVsrTRq\nfwk83ylzFyu3Vnfzl8qP3I2jE4Qz1OCzoHu91e4dtuVhXA/Lv/7KWLbOap3kwdQZ42hPuyUvlM44\nMoVcym2jmUZsOQ1fq/131xr9slX+Co5bysLm+pxHI+Br/2JvIoQ11OJizUpP5Skwbnvuh/uSONiZ\nGzo5+tjaXkTHt28GN7Mly4oXz9aXt/orBl5ontWNj6HOdRN6EW+/ztL4CuGvbAB/4hFb0yAINzMu\nxZ1zju1bclvf2mf40NxavYMYfCRacruVePc3IP7mgdyBijlVMUIF59wdbMjxHduQkg1ti7dfC757\npywAwPu6kVp5E1JXfMyBHNYATqzAJggXMS7fgO6DSfT3SNubGAMWLHLfIjrxyV+D73hVV1j+r786\nsqeeubKLKcOOBXwWIP7up0DnHnBRzG3Hi+fWfoi3XwvxuouBVzcC8bhKLLL4nv27/rSf0uk/PRP+\nT48aCu8aXGSWlyhF9Y++uZFxJ+6cc7z+Sq7XfsScOoRcuPWN//FRiH9/QmdgnZFa3Vu1Oj7Lt1tp\n5E+HaGaxKV983dPKrlkN2kPnz/xVf1iDQ9X8D782FJ4gDEPabgvVOxZtkq79CQwNSgYGPB6Ms61v\nLvGhbSV93erntMSdi6r54skkxLtukB8xl7dSlFpgqAfvuHuFdUBqUTHq/E7ngFBhXPXcOefYsS03\n/Dlrrh+BepuKwI2L85jqF41r9IXjopZFpuLKlpe5V5pnhDnrvEWJEnl/W2Vr3tgI8Obr2a/itRcb\ny5xeNMtMH+zYk2pztTHhetgZ7wU7+jins0GoMK7EvftgEkMDaTOzHmDOwlppdeqs3M00ODS2QPHO\nPdnP4h0aq58Vsidee1F+kJf/Db76lyWzw4eHwDeth3jph8E7d2sHlvs9icXUwxUlUvBdyUPdwbf1\nx6eajjwhkwI9OqLeSBnXUIPHdtqmWjQYSPfKDsbNmJ7Ua8+ZmT1ijr8sr286ErQvbtNpMcWPhpPL\n2Frv6swdlPV0iy/Qzl/qS+ep+00vjGrry8BAHwBAvPmq3HFRwf47E8CHBoDDfRBvXaErfr3wv60u\nPxILeu68v1o9zhFEGhp5soVxI+49h5IY6M85h5lbDb12lw3tZ4feM0IabABPJhQtz3FRBDa/AHbC\nKaUj1insmnn7xb3FBxkg3ni5Rb7hLSRTmVliQ6D8KAiCqD3GzbD8m6/nhmVnHlln31y7E1ggEnxo\nAKlLlkmfUynwrv3g6R5yBvGO6yCuvCnnqW0kCvGyjyo7YTjwNsT7v5OJvez85WdWYQ7/308Xh5s0\n1X3CnocV5ULqrgj1BisDPcKupYYUTp2hgRR6D6XNAbIKzbW7rNcNQHsoXrZymz/3D4g3XgZEC6yS\nvfk6sH2zTo9KXPGjJeisuNnxJ1ucsEVk8i+63fofQWjAGJCIg8un5wjXMC6G5d/akeu1T53uQ7DB\nffvaK0G+0ZkCpZeLxFhmmLwM4dB76ax5wJ6dpcPVIly2TsCNIs2YO/NFuAa+5inwNU85nQ1CgZrv\nuY+Niti/N2ewZM78KphrN4rafu3C45r7vu0cOndKIMyOnticX6WeuytF1IWjT3pxZXkSSvC3dzmd\nhZqk5sV9z65YdlHyhFYPJkysxcEK5YpMvPTD4PtlW7bk4q7H13lZFaRO4XLj9EWl4OWvlicUGIkC\nSee9chE66drvdA5qklpUuiypFMfeN3O99iMXVEevXWtPduqSZRDufgQs1CiF3bld25DL0GGI2zdJ\nYV96FsNq3rgUe9oWDcs7NOfuRvjYaG5fuhVz7nYiMEBhh6HbEW+41OksEITj1LS4d+1PIB6TKtBA\nkGHKNGf9tfMDb4O1z9QO098D8dr/1o4oNgakxV3TeEwmzldeyn5ObnpBJZDlCmxxfJWK2z5SlywD\nmiZkv/N//iF30mz5W7CNUJ1xPKpC6ICeDzdT08Py8l77EUf6IQgOuvk8dADiN79YOuBozqkNerpU\nAhn8HbqEQx7GgnJyw5y7G+uewcMqJ0yWkU7PgabIzM6MWOvLnSAI+6nZnvvwUAp93dK8G2PAjNl1\nzmZI9xygrJLfv7fsZPmObconKiR84s9Xgu/RWDBjZs7d7raCE8P+4ebKp1mK9DPLnyhtFpgYZwg1\n3S+sCWpW3OW99rZ2L+qD4/Nh5Ov+KRlzKRlQQdCs2IatZFym3Dif+YvlcToN/5d+t62Vhq/5s9NZ\nINzG3KOczgFRgppUvFSKY98e2ZD8HHsW0okPfQ/iz1daG6meXqMlvW6Nfe5WoDc6M+mqDm0XoDqt\nUXn4mPbcOF9bew0WgiCcoybF/dCBBBJxSTTqgwxtk+0ZoOAvPAO+fq3e0LbkwSr4y/9WOGjRVjgt\nhgbKSKNEDv75pPFrOvdA/OpnLM+LeOV5lsdJVAifw1N6TuDVUWe6cU0LkaUmxb1T1mufMbsOzMGF\ndNVC3rx4urjEW75cRoQ6xb2v23waNsA3r3c6C8R4YeaRTudAFXbWB53OAlEmNSfusZiI7oO5xWvT\nj7C71e1Ew8FAmhz6hNbiYXm75mn535+wJd5s/H/4ta3xE1WIXYaW6txsd6PUb6YOk9upOXE/8HYi\nq1MTWj1oCNtsR97yZ1zPnDuD+MAd4HrmlNVEO11hiX95XNkXuhx/AOJLz5VOS57s+jWGwuumc7c9\n8RKEGnaJeyV2ZZgdHSj5k909zUjUoLjL7cjb32sHnGrB8g3PgW/frCek9tnfP6xt4Q4AAvXgP75D\nf976e3WHJQjXU80mkpnJKr6afzMBoMbEfTiSwuE+qRfKGDB1prMW6WxH9/unZ1hew8650R5Gr3tW\nqRNE2YyNlg5jBjebUfaUGvFksLVjM+0I++IeJ9SUuB94O5H93DbVC7+/Aj/P6haunvedFX0oE2bp\nKJt45w3WRVYLnHCK0zkgCGNMnuZo8mzaLHvi/Y+zbYnXjdSUuB/szIl7+8wKbV9xcPSK//Vx9XNG\negVFDRQakrMS5q3xESSi5mDHvMO5xKfPAo/Ys0VWOH/8OBWqGXGPDqcwNCANyQsCMLnd/RUqHzyc\nFWG+Z2f6oIpv9j07If7p0fS3tPiqLKjjoyPgD6TnyIMhQM0EbQYG0AIZgqgwbh6Wd7p9/9oWhzNQ\n/dSM+dkuWa994mQvfL5KPZ3F6fD+3qIXV7zpyqJw4tWflWI4/1Lw3/wYACDceI9iKuLjDwOvvyLF\n/9uHtLO0b3fOKI3atEHecUY+1+3EzZU4QSii452n59rV1EzPXT4kP3W6s7128dqLgOEh1fM8Ogzx\n+dxWsYywayJ7kfgGA9vSdJmzJfEmiIpjoTiyj11oWVxShKXrBL5ZxX004QpqQtzHRsW8VfKTHfbb\nXgr+73+A//Tu0gHtFF0SdIJwlrQRG3bm+8uPS23Lm9kGRKnrGAMSce0wpqG6yQpqQty79ud67a2T\nKrRKPoPlImm1AxedjmhE2VY4En6CsJ9gCADA3nlW+XHZZGJbuF950S5buMiW9MYVrW22Rl8T4n7o\nQE7cp1S8116tQshUPkOhQVCtv5EYT7ALv2RPxBMm2hIta59hYWQqVXmZDfWinR6z58Pz4JMQzrbR\nEZLP3SOvlmHzmoWqF/dUiqO3O2dLvq29CtYIVnIdiuoDJDtOPXWiBhBOe49NEdtTTbIPfxLCff9r\nVWwWxaMQ8+dyDqQ8N9xlWzoZhMvHi50MEndN+rqTyJhGbwgLaAjZbEu+6lB5gOTD8GOjwO4due9F\nYk+rYsuBj2r7cq9ZJk52OgeuhgkCmFXuZAtf2fqg9FetcT+11KiBc+88a25xLO2KYnMRV724dx+U\nWaWbYpPf9m2bkLpkWf6xHa9KH2IWm6bMu+GyN9b0wpjSQcQbcoYdUp8/B/yxn+QHiNu1cGac8OrL\nTufAGfwBp3MwfihskJeyKU/3puapfnHvkg3JTy1/rkZ89EHwZDLvGN+/pygcX/uXstMqiRUjbUYb\nBaKCjfnRqAUZIYgqpRr2czsx2lYN5eJmaM5dnehwCtGIJEaCB2htK7/nzp/+IzBYwksaAP7Ss9KH\n5lYzqZg8ZyH0YhJ2Q2s5KkipRbHlUH5cwvd/aUE+agyb34+qFvceWa99YpsXHo8DlUnFKjCzLxiJ\nOOEUJO66sEKIC+shscw4ra42BAfXQs1ZCEyflbUrUHEWLgbCTcXH26bammxVi7t8lfykKQ5tn7Cz\n/rKi4aCxWt6QcxmCGIewz3wRtjeQ7RD3Unm2pFPi4vpj+qzsR3bCKRD+57sQbv+Jeng7YTnz3uyc\nT0l/Tz4LSCY0LiqfqhV3zjn6uvN77vYlZnWEel8sG1sOHDQ0T9hLNXbc5x2d+zxnIdgJp1YgUQve\nw8IFcjy9dkZNxI28+9VYTRT8blYfBAs12pdex/EQvvVDjQBpcX//RyF864dgn7oCiMfsyw+qWNwj\ngyLiManAfHUM4SYrf4qRWkk7LN/6MsQ//Dr/2BtbVcOLt36l6FjqkmXAoYO6cyQ+9L3cFxXPcemc\n6I6TICqGXGCPO7miSQsf+Hj2s+e6O8AaQva/JhY0stkxJxTEWWbceddZMbJQfhTG0qustLEj5oFp\nbS9MT5Mwjwds6gwwv99G870SVSvufT25XntrmxfMVjvsWuekk3zPTvDIIHhm030acdXN4FlXrQAf\niQJbNxjPg45Ffqnbr5MaAod79cVJ2k7Yicl3kp35gdwXJQMyVbgPmv3nhyHc/lPpy7En5Z+0ZARN\nVtYz50g9eY8Xai85MzLfmxFKb8HoqJtH/iq9mLNkcgpl5bXIxoEKVSvuvZUakgf07RW/7asQf3oP\n+ChsZf4AACAASURBVO9/oR3uqvP1p2v0+dy13Vh4N7+cRPUzHDF3XZ6gKzyjM440F68ejL5zHcfr\njJeBtUhmbNmS0w0mYpBAPYQb74Zw24+Us/LRzwITZLt86huKGxzyck+LunDrA6pBXIdN4i58XcXh\nV6n0FOpa4RP/bUGO1KlKca/ofLsRXn0Z/G+rLYzQzjl3Dne/nUTV099j8kLZc6+w6lt437km4zUJ\nV7D9kIYpOP/wPPikZnRs6vT8MDY0slnLpHTetOsQ4Su3QLj1PrBZ83KNqpYCW/qZxWCtkwqudnH9\nYYG4s7M+CCw+Mf9gYdnoTU/hHrOFiyF8175FflUp7pFBEYm4VFh1foZQo4M/w9bhHztfHu7qd5Oo\nEmxyqpJDoVJcsAj+/8p3XMIsE3yF91lFfIWvfQ/s45+zIE0HXsRMkuEmsMYJYB9aDuFHUsdE+KxN\nDngqiRX+AOYdXWweWLUhVkrcVa4qajBZh0u6vMY43JfrtbdMtHm+vRTVaqiDZ/8jCFfBmOzJ1OP4\nCLBuAZXS+6yWhynTwQL15adZ7p50TUrFne6Vy393YRlojFzUNErPlNqzUMrlrgNlWJU998N9uUVr\nEyY67ChGyVyrZdjccKA5d6Jc7HiGZOLC9M6v2zqAprOBYT4Bi+JJIxdnK3xSWJG9Slc1FjT2FPtt\npnvula9rq1Pce3M99wmtDg8+9HXbF7fdQ/6k7YQbkYv7h5arBSr4alXPXeGY5RVzYc/Y4uitzq9a\nfIbSqXBlU6onrQdldTcQVn4ZiXtJ4nERw2l78owBzRPK77nzrRvAYzKDAgzgiTjER+6Tzr+wNj98\nwl7LQkTtIFk4q2XsqLQ0hohVL6nWtS+wd8i2ZNb1lJsFv7/S4mZJY0+hbNSmUEjcy2dANiTf2OyB\nx1v+Sy2u+hb4uqfzD/YeAn/mr9Lnfbvzw1/+0bLTdAfUdTdMY7Oh4CzjV5swh9rrXeTi1CpxN1Ch\nW5iEfXFaIcxlXNs2FezCL1W8qmFNE3JffNo25YX7HleJpCDcdXdAveeuLqWsIQy0zwAmT9PMh9VU\nnbjLF9NNaLVwvr3INLMLhM/OnXA/XwX+5G/sS6BWsWIVbi1hS8fdzINfRT33wuhsXU+nEHmp8pXZ\nQk9Hojs54Su35B+YMBHCae8xFIdhgg1S2lfflj3EPnNl7vMZ71W/duaRYD4fMH127pg37aekULDr\ng+o/I12kwg9+m398wSKwz34RwrV3QLhRZY+8TVRdTZW3mM7p+fYqh//dyj354wQXtPnchb0L6nSL\ntlU9d8XV8tZErYrVw/LllkWRhzkL8qfWWSoynmMM4b7/BVsuGYNhCxZBuOU+sPMvlcy7pmGFlvXk\npAXc882VuUOfulz6MLm9uCxaJkL44telzwsWQbj53rx4WKA+zwOcsOwCsEAQzO8HK7T/bzNVpY6c\ncwz027RSPu/Zc8n2tgrbRyYIV2BGnOycc1cTX2ay/inKqoMtxsJ93AB013+GnM9YsSivGOarA5fV\nk2zKdLAp06Uv4SYgMmgi1vT2wPaZRZ4zGWO5BokggLXPBHvX+8COf6fsctk1Ry4wkb41VJV6jI7k\njNf4fAzBBruy75KV5NW6h76SNFXazrgbHowax4zvb413hZ367vLiUTIdes+v83qHRXgNuKCu8LA8\nmzYL7IRTpCHpye3F19gxRWn1NGee5bgy4jZi10Bti/unrwBra1cOaMWqfZOU1XNfvXo1nn32WQiC\ngJkzZ+Lyyy/H2NgY7rnnHvT09KCtrQ0rVqxAMGjNoqLBw7LFdBM81hqvcaOOkriXxmegErUCo5VU\npe/h1BnAwX0VS4595DPS2g0TW0KFr39f0QsiPDJxVys/Iwvqph1RfKyuDogreOVSrOyLe+6sIaSe\nHiA5t+k9pHKygkZiCp5Xudlbz433qFzEkCdQlgizheI+/xgIn/kixKs/WyJJHeWqZ/2BAsLVtwEK\npocBFCzAdK4ON9317enpwdNPP4077rgDd911F1KpFJ577jk88cQTWLRoEVauXImOjg6sXm3dvO7Q\nQE7cm5odNl5TCUZHwIeHnM6Fu6EGUB7sgx8vHUgB4ZurzKV38llg70/vHpk0Jf9kCdO07Ii5yidm\nzAaaW4sWJ7FPXgbhyzcDAHwnFLiC1VroqPCMCN9/JG9uVBa4+NDUmZJzlXKw8TnNW0h20pmKC8iE\nG+9RdSRTRKEv9LlHKzeQjIi+2S1kauhJW88uh1I99zzLfbKPCxaBTZysljnt+CuEaXGvr6+H1+vF\n2NgYUqkU4vE4WlpasGHDBpx55pkAgLPOOgsvvfSSZZkt7LlbShlz7qlLllmaFTnivbfaFndNUOmX\nxw27KADAr2L21Kyb1emzDG/zS1+pfsrkqAoLN8Fz58/AAvV5o3Ns6nSwtBc274JFeTYE2NTpxhNS\nmo9Vaghc8x0I31Dr5apQ+JxorZ9ReqTmH1N8zOtVFll5GV30ZQjvPLM4yMwjC4aONWAAGsLS6nAA\nbNpMeG76gb5rVbFnzt1UmnLsqD/ytL0KxT0UCuHss8/G5Zdfji984QsIBoNYvHgxBgcH0dwsVRLN\nzc0YHDSzoEEZubjb33N3SSW+Z5fTOXA35S46PO7k0mHciMeG9SZmKlo1U6fhpuL4GpvBTjzDXN4K\n05LhefBJMKvuo0IazO8H6rT3SpuJN4fOcm9XE1nl3qUUtZl6jIH5A2j+2VMmrlUh1GhdXKxw2kAl\nnJ6fbou4u8MWv+ka4tChQ3jqqadw33334YEHHkAsFsOzzz5bFM6qlkssJmJsVLpbggfWe4Jz6+hu\nKlk6DGEawagFuemzbMmHYezYb5/e8iTc9kCJgDlUHY4o5a9lEoRLrzGbOxS+pOyYd2jvYS4/iRzl\n9jA1e+5649ax/qAonTIbbOWSjoupNY7M7ozQ87N0iayBBXV6cUm/0PSCujfffBMLFixAKCQtLDnp\npJPwxhtvoLm5GQMDA9m/TU1K81rAtm3bsG3btuz35cuXIxwOq6Y3PDiW/dzcUoemJutaggMAAv4A\n/OEwBiCNSnDGEQEQTh9D+nMmPGEBdX4gHisdTgPB40E57eTw5CkwMrbUdMMdGPz0+3SHD9TXY8R4\ntkrCBI9iHVIf8BtKT5jcDvHQAek5T1eGjXPm637Gw+EwYoEARgEITMjeCyZ4wGTfAcDj8RS9T4Xp\nCFOmFdUDmTDBhgZ40+fq6urQOHMWcMX1imHl+P1+jBUcC4fDivc92BDCMIDAxz+HgCwfYjIO+eoX\neR4L0wyHwxhkLO/+1AX8qE//XvnvAIC4wjPi8XiQKjzm9SiWWbChAUIojCEAjY359eJQ+h5o1a1y\n5Pmrq6vTvG5IEIrevfr6ekRl370eD0Ia9abX60Vh90XpN+Zd4/EgGGrAEPKfv6LnJi3Sas8TAHi8\n3qJ6PeD3Z+OLer3IGBtvCIXg0VGOA7I7r7fcH3vsseznjo4OdHR06LpOC9Pi3t7ejscffxzxeBw+\nnw9bt27FnDlzEAgEsHbtWpxzzjlYu3YtlixZoni90g+IRCKq6R06mHs9Q2HtsEbI7GMcGxlBPB3n\ncDQKRKVHdKjrgK78ESawwDiGWGYrOzJs7J4OjxlrjIyNFsqKNXCVHs/o6KiheMSANK8aiUSAVCr3\nWSeRSATimPQbRVlPiTOAF/ScUqKYF7dSOnzGkarpj4yOgqXPhcNh3fmMxYrvWSQyrJzGiCSzsXgM\nCVn8vCAtrbQjkQh4wbMdjyeQTF8zEo1mfwcAiCPF9yyl8G6kRK6Y7sjoKJA+XnheNHFPR0ZGwCKR\nkmWciVtO4fOXTKWK4wjUA2NSuGSyeGSyVF6Toojh9P2Tnr9R5evSz59WfIXPJACMxcZyccvyFy24\nb6rInns95R4Oh7F8uZqDJPOYHtubNWsWzjzzTFx33XW45pprwDnHe97zHpxzzjnYunUrrrrqKrz6\n6qs455xzLMloZChXYI1N5c23i2v+jNTt10lfdrwq/ZX3IDlHZmxF/PIns4dTlywD30tz4NZhwKzl\n9Xcqnyh7CNGt8zElsMHAETv/UrDzLjVxoUIZKuXPastpdpBNoyCtsNGRwsIFdcac4bBF71A4qDEs\nrzoE7fCwvBKWDFvbuVpe/tlEZqt9WB4Ali1bhmXL8leKh0Ih3HjjjWVlSonIYK6VGGoqr2Ljm54H\ndm2XvowaGzRV3JdLmMPISzB1hvJxCwRDuOqbEFfeXFY0wu0/hXjtRflR//eKsuLUTlDlHTBascjK\nT7IBbhFK+dNzr+ywyqjmvMfrBQp7jpk8Fm4HM2KURgmDxkyE930Eqf/9ef5BTXE3ly2VCM1fWnDf\nhaUfLA4z7yjg1Y3m0yj8vWVYv2NKe9Xl18k/l7JtkL2myhfUVRLOOYaHcuIebrRupTzv6sx8sixO\nQi/OlzljDNC7RUgrnpaJRd6lhJOXlh2vKqri7kCZKmmBWZHW0hWTiwjZO06D8J0Hi08o7rO3qNda\ndBs0VrTrfQ9UG0caPXdTOyD0BlSIe15Hnv0AdsKpeaeFq78N4fPXSudOepfxvBnJ4IJjgLlHq59v\nbcvZkc/E/K73Q+l3Cfc/DtY4oei4Is5XawCqRNzHRnm2ge2rY/AHrBs24o8/nP7gDsMD4wojFY9q\nvaY0JOzM/WNK+7rtyoqW0M3TqNAqhSCUv7Wu+KS5vDCmYXCkALvMhdr5TDLAUkUpI69MEKQ5dTXq\n/IA/APbxiyBccnX+uZaJQPvMkmkI71kGPRb0hKtugnDNt9Xj+c6Dyu9sQ24KhmfszBsYuWHv+wjY\nktN1h7eLqnAcE5H12kONQmUMA7ik9VXTWOFtSqHCZ8vOB//Drw1EUYWNOdWeMQebfwz4zu2VzIzC\nIZONLq0wZm+TofurPCxvmELB0WqM6W0Eqd1zJqjPL5vc564LtahV3mvhW/cBU6aBMQb23vy1WMKq\nR9P2+JUjZe89F+xDyyFedT7Q1AyEmoDmVs3ssRIjPYU6wj52IdiiJcDUGWDzfqZ5rRbCuZ8CTyYB\nvQ1Km6iKnvvwoD1D8uMWRbObVUqZW+mqFpWKi805yrnGityJj2LPXU++tMTd5O9SnP+3OI0icr+d\nfepyMCvWM2jm2UJx11sEanErrKIHIFkYVClfVh8E8/nAFL3UAfB6wYIZE8AMzO+H507zAqyE8L6P\nSF7eGAMr0XAoBfN6IXy0hO17m6kKcZevlA9bbbwmQ+GD6hYzo3Zgyg2iS+k+UDpMrSBfVKgm7pPb\nYaiLa2FDQPj452RfSgiq2iI3rWFxs6Z1lQRDrVeXyVe55RLMLb4Sznw/mJZp37J77kzfynC9lLuo\n0WNDB8ypBmsVy0CViLt8pXwFeu5VOEo7HvE8+CQweZrT2agYwn/ndmoIF31ZNRw76ljp79mfKD65\n+EQIX7gu990fKD9jmYpXJmDs2HcWh5NZKWPv/i/p74VX5Y6d+m6wU/5DPR0LrfLJ51DZe8+VPkya\nApZ1flNeJSB89Vawj1+kclal97r0g0AoDHaKwkLMBYuyi9PYJy7OHyXx+tQbe3muUXVSbv0XLNPJ\nDgD2X+cVHKBK2ShVMecejeR67qEwDcvXPFOmA9ldDCUYM2a0pfLor5TYSWeCv/iMeoAZs4CjjwO2\nbwabOSf/2hPPyC1kmjFbOvZf54P/6bfS/vWZR0K8/TpAEMATOVen7OSzwD55ma78eR58UttJUlML\ncOxJwJYXIXz4AqTWPZ09JXzrh9I8aS5l6fhp75asnMXHICz9kGq6fOd2YNosXflUQ7jjZ8DYCDB4\nWDqQeXZCjXmuUNmJZ4AdqyKKcxZC+FC+wRF20pmAxwP+6stAumxZYzPwnx9WXlgVVN5SJVzwBeCC\nL+Ti/a/zwNf9H4TzLs6znS+8Zxn46f8pjcDFY1mnOcIN3yuKk513Mdg5n1L+LWrU69zypYYlHmI1\npnQqKvTV23V3vbgn4hzxWNqmvADUB/XfWD42AvHK8yBcezvY3KP0J1q997M2MPLy2mFj3SGES76K\nlIa4M8EDFmpSfjy9vpyd/PS2qMyCInbEXLA5CzOxgE2fBR5sgPDtHwPBkHULVBnA/IFc/tIVtPDN\nlWBqdgogCXzJqC3YAcAmtAJozU5vsP/8MPjPi13datm/Z82t0qIrefhLvgoA4JHBvMVkjDFpBbg8\n7I//oLu8hWUXAMsuUM5HoL5oVTqbPa84nOAx1JMW7ntceQW5IuV4bCkVtYYRoFJhCQBVMCwfHc4N\nyQdDBlfKH+4DAIj3qW+HUIcemKqghsRdHzqey5TGLgQGsOmz4Fn5G7CGsMU7TwriSle6bPrskkGd\ngE1Ju4mdYGDxlEZ5sXATWJP2XmgnXYDqQb+ww15RLeq4a9kJsJEqbji4vuc+MpyrqBpCJityFQMP\nPM8SkSyMu98/Qo7LK0vL0VXZaJk+tbExxJi6dS83cuQCCNd8x5hdAFtchLq8nIxixe8prLPzyr3w\nHlSwkVFFuL7bE5WJezBkcr5dbZfIC2vVw1TxTXUzwpUmTBNb4i6zIB/f+4Usfp3DpD/8nam0Kg0L\nN+Xb4q9Ur6eoztWyY+B8o4wxBja/w1hv2pbGJFU2xRgYljcBU1nfUUtUlbhb3XPHkMz5X621nl0O\n++yVusMKX73VhgwYryxUfVJbnI4VsCMXyL/lPtnZc1cZlq8pxttIkQHYeZdYF5nmsLwF96C5pXQY\nxYxUD64X9xHZnHtG3MWffB+8p0t/JCqVDN/1mvybmewRJhFO/0/1k5n7VZfenxwIQLWnV6HKlp2v\n31saa24B0tvRLKdcwbSjvFScrTjhQEO+6t0WSNxzFNTBQnp7ozXD8oU9d7lUFT5n5SdXi7he3JV6\n7nz9WvBtBrwKcQ4upsC79ufPs29anwvyzF9lFzDwzt1ms0xoYeBFFO7RYULWbGVrsAJi73qf6jn5\nyAL72OcQvOIGeL5yi7l8GUG2PcoNFA1vaxlWqVqRrNZ8VxArxL1woazcuJFh97sK6H3+qnj0ydUL\n6lJJjrHR9IpbBtQ3mB2W5xA/nzZUoegJCsDQAHhm/+vgYcUtMoQ67Iz3gi2/COKV55UOXDKy9Isn\neICWSYCSW8ayMegoSGs4W3ZOeN+58IXDGItEysibPtiEFn1tpby1SDa356tpQZ0ZbFlQZ32UTsLm\nHgV+cB/Yez5cOuyS08AVTEizD34M7NiTgAmtEO+8ASzt3U1pZIYtegdwxnvLz7hS/pp1vmMuxNXi\nPhLN9drrgwIEsx6b5MODe3epGpHIjAbw3TvMpTOe8XjAAiomRY2SEQXG4Ln9J9Ihq43VGBU5G5yV\nlY3eWkcuSHZ4PVMTdK1h+WrtANNqeWVkdgzYp6+Q/ukoK+HkpYCCa2QWCAJp2wweJXe98rAtk8Ay\nNh4shn3iYrBl59sSt91UjbgHi3rtBl6ywuHBUhVc1Q4ZOolubxMGorTvPrBwk6Y7yOIL9PXci8/p\nTwIAUN8AjEbVz6sJge6yquCzrXmrq/Qdo7pBEeHGe7Kf3b6X3wjMVweoObNxOa4W99ERWc/d7JA8\ngOJtFSXiGneGUdxGZirG3kqCzT8m86l0WE1XpBrnjLq1LfHscRXFZB/6uMZV5a80Zme+X/pwxFxp\n9EuOSp6Fr39f1UNY1WKFLf4iaqDnXnWCXm35NU71iHuh2VkjD5PWtgolBLJfbxjdt0NHQCs9XFUC\njeeJJxLG4jpyAbB1Q+77EXPBTj4L/LcPSUk1Nsse5/SnxSeCtbWrx5nxdDb/GLDjTS7C80nbAD1f\n/z74SBQ43AfxpvRQqKyxLG98sCkaTn3sFAN/PRCTpnHYB5eXCKwf4aYf2LT+owawY7qHKIsqEvcy\netNF1o5U4kqbq3VDK5QtOR18w3NOZ8NeZswG9insStCxhUq4+jbtAA1hqdesNcRtFWb2zH/w4+B/\n/h2Eq28D//c/wU58FwBAuOJr0tD74V6IN1wK4VOXgR/MOdFhH78I7IP5vfSsGVUFhFWPgqXF3WNk\nGiIT96evAP/lD/MqbxZsAK/zg2W3M8oEfcFi59es1AeB2Kjl2+LYtCMsja+2cL7ONESVZdcMrh5/\nHpOJe8CAuPNUCjw6DBzYlz6gz9oRf+IRzfMVpRYW2Sgi+11Z95qFQXT89hKL94Tv/0JyjVkJylqB\nziBctEJa8QuAeTxgXm+2t81mzcsrD+arA2tuLYxCPXY1v+k6EbJbAPMTYV4vBAVDRMLSD8Jz+0/L\nSrN8quzdqbLsKuKGOpPIw+U999xTX6rnzqPDQLABjDHwpx4D/+NvZGcZ8t6gKlhQl92WVzWY6L0u\nWAS+8fniE9OOAHoPmU6OnfE+MMEDXqk1ZuUMSZaTdnZXQQXa6Fa/Ena+YzXbMHYvVbeIrtryawLX\n9tw55xgd1RiWL7SX8eULgE1poRjoK4yt4Lv7xR27tjudA2PoLbPWSdmP/9/ence5VR32Av+dq3W0\njDSazTMej8f2YIzHNgFslkDAxikkQGMn7TNhS0x4aYOBEDcESlMaaNOELMUQjIHw+nAe6aeFNrHD\nkiZ9LTYhhAQbTDE2tvGK99k1m3bd/nG1zkgaLVczR+Pf9/PxR1fS1dWZO2P9dJZ7jnLldRkvS1Ru\nuWP844z+ldZPg/i8NovceCtz6a+Uv5csry0knybiz1XvLxDZWm30UHHhXmnlpUogbbgH/Gqi69Vk\nFjAax/8EU+NzxY/3QSRDeFcwcfmnkndcsTmas53T5lYoT/48+dqWWWl9oSI+ZSUAuGu1fTPN4T7e\n70wIiCuvhXLvw+MVH8hnUFlLmzZDXo51yAFA3PgVraWhWKXU+hOZMAF/zzq+hbLhZxCLL9PvgKNV\nXLjTmSgUiaLfFy7b8aVtli9pMF2pze4M/8xcHsDbC1iS4at86WuIrvubrC8R02fmPJ/KZ24APnMD\nIl/+DFDXoPU3G41Q1r9QYOGE1jSYbfnOllkQjc1Q334DSuqXkywM39JmKFQeWg/sfnfsu113PcSn\n/hTCUsRiMulHymOfccJqQprlc63MV+ChClkzvBiVFu6VVt4pQZ/P+EhUxVAwgsFgBEOBKIaCEe1+\nIBLbjmI47VbbHgpGEIxov/dt32jVpSyjVUi4Z/pFlNLPyXAvTnLmuITEoiE6TuQCQOh8PbE4dwmU\nlTdrXyIKqC0LIYCO8zI8oegQ7Mjxt1bIZD+lF0OSN9EJw5Lyp6oqghE1FtDpQR1/LB7IyfvaYyOh\niV8cKV/Shru/qJp7nh9A49Z0KumDbAIlJmRJnc5UGfNQGr2+KOm5Gtro37/sNafxijcRX0ZzfiGS\n7PxJVhyaGJGoipHQ6Npz7H48tIMRDCxYjeH+mRh6+WDs8SjCkzC3hiIAh7l8c6pIG+4Bf/JkW6oy\nhHGmD7T4Y6V+WIeCpb1eYuZPfQ7BX/18/B0ziQ+CKLTmrovxmqbHCzgdZ5HL6/1ixvtbLCmY48ee\nkBF1E/AeOpmEpWZLIvuXy2zOvwTIdLWLDsJRFYOBCAYCWkinbg8EwhgMRsY8PxSM5ve9rm4+EAbg\nLf1zXgBwmBU4LAY4zNo/p9kAh0VJ3Lebx27bzQqqjEpZrzKQNtz9/pRr3K0lnoDR/3nGmdhEffbR\nnM9XMvOly4sP92imZvlxau56hUK2/7WJy8EKONbo6VKL+XDV6/9ktv/c+ZTJYMx9DD3lrLhLFk6y\nlWeKUm74M6iLL4P64x/k3C8QjmIwGMGAPzImlMeEd2w/X3hiv6CZFAGHxQBnLHydFgPs5th9ixbY\n9tjjDrMSC3ADbCYFiqTduNKGe1rN3apzrXDQq+/xdCauWQX1l4UOKBtH62zgo4MlLoKQIUjHq7mL\n0S8o9q1L/M+eqcyJY09mGBR/bsTKm6FueWWCwl3aC2vGYriXTTiqYiAQwYA/DG/ACm/9uRi4ZyMG\n3uvKGt7xgWMTwW5SYiGcrC07UkM5pYadet9irKC/7zzJG+4p17hbSq25T3HKX34f0Yfvzb3PzXcg\n+s9PwzBzTvFvlGgFTvmPkOhzL3Of7JhDFDh3Qa59i/rikOf7eXszPx6/vj/rYdQs2yklsNljG6y5\np5GtPOOZxPKGIioGAmF4/VoQ9/vDGAhE4PVH4Iv2oHvQl7jvDYQxHJyYGnW8P7raogWz0xLbzvRY\n7NZhNsDAOe4TpA13fzE196nyey305xg9HWkmM9pg+KsfltjHk6GPN76Qhh4Bk+tDbrwALqTPfSJr\n7n3JCZWUv34E0X9cB5w8CrH8j6H+27Ol14g/dhHEuReWWMg8VFLNvaYWGByY7FJMimAkmghqrz+c\nvh0Y+/hEjPY2KoiFshFOixILY2NaODvNBlRbtVutSVze5u5KIWW4R6MqgoHUcJf0l9w6B/jowGSX\nIj96fDhHRzXL1zWmzAaXaz5YHd671PzNNAgwrpiRsvl+8BiT13SLme0w/O0T6c+7PZlf56iGWHGj\n9rpFS4Drrs+4m+GOb+ZXjjISdY1SDVBX/vL7FbWyoPDU5xhSosIX1gK73xdGv1+rXWv/Ytu+SOK+\nv8x91QJIhLLLqoW0dptei069LffAMcpMynBPDXazRUDJ0tSiHv8IcHsg7LEmzo8OIvrGf/FSmEyK\n/c81Zx5wYI+2nRgtn+nqhezvK4TQFkLxjRRXBgAwlHjJSM4+9yI+EDNMm5tRTaxVJcOUuLlWLROK\nAeK6z2vbThfEipsKLmLJZs3V3n/FTRAXL8u6mzjnXChPb5qoUo1L2J2TXYScVFW7ZCsRztXt6F/7\nf9H/313J0E4J8nL2WSsCWlBbjKi2JkPbZTGiwWWHBSG4rNpzLjZ9VxQpwz3gz6O/XYjEetLxKUfV\n134FvPYr4Jxzy17Gsio0iPPZvchwF/PPg7jzrxFde/PYkem5rh0vqHB5lCPev1z8EVI2S2uWVx7+\nR6AmS417tNhldspDT4yzo7yULK0GqYRSvut1K0UgHEWfL4xeXxh9vjD6/GH0xWrV3lGhHSpTPDI9\nuAAAIABJREFUy4JBANVWI1wWQyKQq61GuBP3jWmPO3I0fzudTgwODpalnFR+UoZ7wf3tw6P+AD/4\nb51LNNH0/2ZcdLOYEBCOam17dM09dRa58Y7vqinuevLUoly8DOrvt6Q/WFOrrSCXYUpTYbGmTL+e\naxKbwsolUha/GVemuQEqRSWWWWfxZvF4YPeOJEM7EeKxf8Nl6r82GwTcVgNcViPcViPcVoN2WxW7\nTXnMbmYTOGmkDPfUkfJ5XeNeYmgUb2q0/4tProD6n79If9BTB/R2QyxanNxvySegvrkFYvGlEBdd\nAVjzCPfYw8p93wOikeyFMJshWtpyFzT+e3a6AI82kE+56XZEH7wLYsEFY/c/7xIof7sB6tu/hbh4\nafJx46g/e2uVdqwH1kH9959B3f7b3OUoxNT4E5lyVFXFYDCaCObeUbep24EyNItbDALuqpSgtmp9\n16mhXRPbZp81FUPOcB9vdjogfRa5XKFRTjIM2hECJdX0bQ4o19+GyM7twOnjALS+YLW/B4hEIOKj\n4QGIZddC+dLasUW47I8gLvh45uL98Q3abbz2n4Xy2D+PnVxmDO18Gx55Lnn86TOz9l0LRQGaWhJ9\n14AW4Bj1JUI0NEP50b9AVNmAG74MsezaccpRgEn74qmDCg2UUERFry+E3pEwuke0kO4ZCaVt9/oi\nuk85ahBATZURNVVGeGK3NfHQHhXkVaYKuvqAKpKk4Z7S527J8gFTleyDnbTLRI8dKs9xS5ltrVCx\n1xu+/aS2qEq8CPlcXhc/xBfvyvqcyHPdbmEs80ph8fdpzXydv6iyabfVNUC1juvBV9pUqJIbCUXQ\nPRKGrz+KYz0D6BkJoycW2PFtr1/fL/tmg0iGdTy8rUbUVBnSgtxpMfDyLZKGlOEeDKaOls8cXsJk\nSrZ4nskfoIqhtJ+fH0blVWkTqkwSVVUxHIqieziEruEwuuJhPRKKhbf2T89LvaqMihbOtvSwTqt5\nVxlhN7FZnCqPlOEeCqZfChendp1C9K/+TLuT+p9tsj5ATeb8FpmpsmsDvgb68zuupSrvIih/ds+4\n0+nGm8YrXiUGZSUPqNNRKKKiZySErpEQumPh3T0cRtew9ljXsH7BrQjAbTWi1hb7V2VErc2EWpsW\n2nU2Ezw2I6xTcMpRojgpwz31OneTOSXc3/1Dyl4ShHueNWbli3cCHecjetf4lxQBgFh+nTZ72Whz\nFwD73teOue6n2uVp888DTnw09hjXXQ/15ee1O00tOQrHD7iykmFcRrHy/EKiqtp8412J0Nb6t7uG\nQ7HwDqPfF9ZlbKHZIFBrM6LBYYXbIsYEdq1N6+fmtdh0ppM+3M3Z+tzTPngm6QM078FSIuMHpfKD\njYh+5x6grzt97yz9z4ZvfCfZLx7fJ8v15cqKmxB5cwvQ0wmx+LIcReOHYFlVYmvDKPHwPj0UQudw\naMxt13BIl4lWLAaBersJdXYT6mxG1McDuypeCzfBEbvUi9dgE+UmZ7inLE5gNmepoUuQ7Xl/cGf7\nfuL2FP/hn1iNLcc+sZaF3P2FDPeyqpDxIEOBCE4Ph9A5FMLp4SBOta9AZ20rul4+iM7hEPzh0v6T\nKbGR5HU2E+rtWnBrQZ7cdvAabSLdSBfu0aiKcCh2R6Q3y6dLeXyyLjfSpVZW4jGEkmNN8Dxez+bL\n8pLkUrhQJIrTQyGcHAzh1FAwEeSdsdsxE7C0XKrdevMYUwJtqc06uwn1NqMW2rZYcNtNiRq4kX9r\nRBNGunBPHUxnMons3+TTBtTJ8QGaXY4PtZIXRMnxXD7npaBFXSb5w7mSm7gn4NSNhCI4FQvvk6m3\ng0F0j5TW511lVNDoMKHRYUKDw4RGe/K23m6C3czpZ4lkIl2459XfDkCKAXX5yjnRjA4192zHlvy0\nnAnE1Z+D+u//BhjNJR9LVVUMBiI4ORTCycEgTsVvB0M4ORQs6fpui0Gkh7bDhAa7CY0OMxrYZE5U\nceQL99TL4MY0yaeklVJBNfectesiEzj2OiEE1KzfG/I4LxwtX1bC7si5+lsm/nAUJwaCOD4QxPFB\n7fbEQBAnB4NFz1+uCKDOZsI0pwlNDnMiyOM1cZfFwPAmmkLkC/dAymC6fGvuk9CvKS68Aupbr+W7\nN7JWo4tudcjjdfkcu5AP9Hz7TF01UL72EKIPfTX/Y59hIlEVXcMhLbhjAR4P856RcFHHNCoCjQ4T\nmhwmTHOa0eQ0YZrDjCanVvs2GRjeRGcKCcM9teY+evWu5Gb0ZxuTd/KdHEZH4rM35x/uQujfupDP\nd4J8wj3PpTqVb3wXyDJ165h9b78faGzOa99CiGtXAXM7dD9uOY2EIjjqDeKoN5AW5CcHQ0XNbW41\nilhgJ4M7XhuvtfH6biLSSBfu2WanG+P4kcSm+tK/lLNImRU0EA36939nCW5x+dUQFy/L+03FlclF\nUjIuqRp/rsBQFSZzwc3R4x6zpW38leMmyVAwgqPeAI56gzg10ocD3UM46g0UVQs3CKDRYcb06pR/\nTjOaq81wW9l8TkTjky7cU/vcx1wGJ9NnWkEfsDlq7iX2uY9RXQNx1nxtO4+aoZKyApr4wp0Qf/KF\n4sqTagqHz2Aggo+8gUSQH/UG8JE3iD5f4SFeYzWgOSXAm51mTK+2oNFh4mVjRFQS6cI9HEq/FC6N\nTKO/CwmwHF3uxf9QWV5XQiYIkwkoYDW4qSwYieKoN4jDfX4c7g/gcH8AH/UH0F/giHSjAkx3WtDi\nSq+JNzvNvHyMiMpGunAPpYS7cXS4Dw1McGlyENAWhPEN57Fvjpp7bSMwlDKNZr7N/YaUYGicrr30\noisgrrwu8bBy/w+QnBGIMlFVFd0jYRzuC+BwfyzI+wI4MRgsaFp4oyLQUm3GDJcZ7Q3VaLQCM1xm\nTHOaWQsnogknXbin1dxHNcurv/rZRBcnO6EAzuqc4W545kVtLngh0tafF1++B+ozP9S2m2ZAPbIf\nykPrAUc1EMlSM0zt8z7/4xBWG5T1/6odw2KF8rdPAI3TIVIubRPTppfwA049gXA0Ed6H+/043BfA\nkf5AQZeXmQ3xELdghku7bXVpTenxwWyc95yIJpt04Z46oG5MzV0mArn7yxua0nYWBgPElddBffXl\njK8Tza25365tLgCkDVITFktyu2lGPqWeGBL0uftCURzq8+NArx8H+/w40BPA0YFA3rVxAaDJacJM\ntxVtNRa0uS2Y6bagwW7iiHQikp504Z6zz10mQilg4ZjYz5GxaT7LqPdrV0F95YWUBwor3plkKBjB\nwXiI9wZwoNePEwPBvEcz2M0KZrktmFljRZtbC/JWt4XrfRNRxZIu3HP2uctEiOzh3tIGMWtu+r5A\nYSPjq2yj37Cg4k2u8pU1EI7iQK8fH/b4sbfbhwO9fpwaym9cgQDQXG3G7BoL2uJBXmNBbZWRl5cR\n0ZQiXbin19wnsSDZLLgAeP/tjE3P4gt3Qv1/62H41o9GPRHbt5ARWqO/CJyB4RNVVRwfCGJftw/7\nevzY1+3D4f78mtYVAcyotmC2x4I5HivmeLTmdZuJI9SJaOqTKtzVqIpwyuXCRqN8gSYamyE+cRVg\nc4wJYGF3Zm4Kztksn8WYcC+omJOryLJ6/WHs6fZhX7cf+3p82N/jx0geg90MAmh1J0N8jkerlVvY\nrE5EZyipwj0cTmmSNwJikgcuJUa7pxIKxPmXaNtjmtmzXXueI2SyNdXLvtJdiVRVxcnBEHZ3jeCD\nLh92d/pwYjC/tcNbqs04q9aKuXVVOKtWC3KTgUFORBQnVbiHUrpOpe1vTy3W6ADOFshi1PP5BPeY\nmnsFhVeGLoRwVMXBXr8W5LFAz2eJUpfFgLl1VsytrcLcuiq011rh4OQvREQ5SRXuFTFSPjW48g13\n6NAsXyHt8uLTfwI0zUAoEsW+bj/eOz2MXZ0+7O32IRjJ/aXGqABzPFU4OxHmVjTYTRzsRkRUIKnC\nvSJGyqcFTXpYqVlr7qMH1KXsl++0tHqejnmLIM45F6LjfN0OGY6q2N/jx8651+K9109jT9f4YW43\nKzinrgrnNNhwTn0V2j1W9pMTEelAqnDPNTudNFKbx0evI59tXfliLoUrYjnQfBm+/u2SjxGJqjjY\n58fO0yPYeWoEu7t88Idzt0w02E2YX1+FcxqqcE69DTNcZiislRMR6U6qcE+rues0Ul589haom54r\n8SAp17QXE0ajR8un5rbLneVF8vW594yEsOPkMHacHMZ/nxzGYDB3mDc5TVjUaMeCRhs6GqpQa5Px\n2kYioqmnpHAfGRnBU089haNHj0IIgdtvvx1NTU149NFH0dXVhYaGBqxduxY22+gJWTKLhMvQLO90\n6XCQlGXd0vrcU8LNWpW9Tz32GvGJqwGbPf2pz34B4qrPjn1NbcPYIkywYCSK3Z2+RKAf6Q/k3L/B\nbsSCRjsWNdqwcJoNdQxzIqJJUVK4P/vsszjvvPPwF3/xF4hEIggEAvj5z3+OhQsXYsWKFdi8eTM2\nbdqEm266Ka/jpV4KF1/0LPrcE1CPHIBy1wOlFFVHqeGe8vC8RRDVNZm70K1V2ivPXgBx9gKooRCE\n3aE9ZjIBbs/Yd/n4cogZsxHd+Bhw9BAwrUW/HyGHzqEQth0fwtsnhrDz9EjOfvMaqwGLptmxsNGG\nRdNsaHSYJ6SMRESUW9HhPjIygj179uCOO+4AABgMBthsNmzfvh0PPvggAGDp0qV48MEH8w73SMoE\nNoZYs7y6awfQ04noYw8WW9TSpa7HrmSuuSt/tBJibgeUx59Pe6nyg40Qo8JbmEzAoiW531IIoHU2\nDH/zGNRopGzN8lFVxYFeP946NoRtx4dwqC977dyoCMyvr8J5TXac32zHTLeFI9mJiCRUdLh3dnbC\n6XRiw4YNOHLkCGbPno3Vq1fD6/XC7db6kd1uN7xeb97HTGuWj/e593Rqt0cPFVdQPcIn9Rgp28qa\nb0Id6If64+8Ds87Sno7V0hO7Z6iVF/z2ir7XdQfCUew8PYK3jg3hreND6POFs+7b7DTFwtyBBY02\nLqZCRFQBig73aDSKQ4cO4bbbbsOcOXOwceNGbN68ecx+2Wp2u3btwq5duxL3V61aBaGYAGg1R7vd\nCqfTif5iCxhjtVrhK/K1yfdP/gxVs+fC7HRqdxZfAtXvg/fH34ezuhrCKG8fsy8UwR8+8uL1PxzE\nm4f7so5sNykC502vxiUz3biw1YWmakvG/Sg7s9kMZ/xvhMqC57j8eI4nzgsvJFcA7ejoQEdHR8nH\nLDrcPR4PamtrMWfOHADAxRdfjM2bN8PtdqO/vz9x63JlHtCW6QfwjySnHw1HAhgcLLZ0Kcf0FRvt\nwGC8ADW1QPdpGJ55EQEAgZSCqQF/bN8hCKNUFx/AH45i+/EhvPHRIN4+PoRAlv5zp8WAJdPtWDLd\ngY812VMWVwliMM8pYSnJ6XQm/3aoLHiOy4/neGI4nU6sWrVK9+MWnUZutxu1tbU4ceIEmpubsXPn\nTrS0tKClpQVbt27FypUrsXXrVixevDjvY4ZTwseg16Ix2a49z5O4/jaI5pkQ8z+WbQ/tZpLnwY8L\nxAL9tx8NYvvxoawD4pqdZlzU4sCFLQ6cXVcFgyTlJyKi0pVU1bz11lvx+OOPIxwOo7GxEWvWrEE0\nGsW6deuwZcsW1NfXY+3atXkfL2Ofe6nymDjG8MyLUHu6gKMHEX3i79OeUz65Ir/3mcTr0KOqit2d\nPmw55MXvPhrMupLaDJcZy9rrsGSaBa1uNrcTEU1VJYV7W1sbvvvd7455/IEHirtsLfVSOGXYC6Cu\n2KIVTNTWA7X1RbxSK/NkjBo/5g1gy6EB/OawF53DmQfFzXCZcWmrE5e2VqPVbWFTGxHRGUCqTuLU\nS+GUp74N9a/1uLa9zEunTvDSrCOhCF4/PIj/f6AfH/b4M+4zzWHC0lnVuHRmNVpdrKETEZ1pJAv3\nlD73SAAIh3LsXR7i+v8N9fn/k/8LJiDcVVXF/l4/fv1hP14/MgB/eOx7Os0KLptZjaWzXDi7zsrr\nz4mIzmBShXtqs7wxkrlWWm7CU19YXb+QZVwLNByM4LXDA/iP/f0ZJ5cxKgJLptuxdJYLFzQ7YDIw\n0ImISLJwj0SS24ZI7nnM82F45kVEt7xS4KsKrImXoeZ+fCCIl/f24tWD3oy19FaXGVe1u7F0lgtO\ni74T3BARUeWTK9xHN8tPhkKz2qBPuKqqindPjeClPb14+8TwmOfNBoHLZlbj6nY3m92JiCgnqcI9\n9ZJ0JapTf3uhNesCm9mF1QblkeKXlA1FothyaAC/+KAXxwbGThjT6jLj03NrcHlbNRxm1tKJiGh8\nUoV7nNGo4wqnE9DKLopYVtYXiuI/9vdj8we96B01t7sAsHi6A388rwaLGm2spRMRUUGkDHfdZqcD\nUHg7e3lHvw8GInhlbx9e3tuLwWB6K0GVUcEn57hw7dk1aHJy+VQiIiqOnOGu56jvgpvlyxPuQ4EI\nNn3Qi5f3jl20pabKiBXzanD1We6Ued2JiIiKI2W4x1c4VTf/08S/uc7h7gtF8fLeXmz6oBfDo2rq\n0xwmfG5+LZbNrobZwKVUiYhIH1KGe7zmrr71mg5HK7LmPrO9pHcNRaL41Yf9+NddPfD6I2nPtbrM\n+NOOWlw2s5oLthARke6kDHdFx0qsui+2ZvycecCBPdq2wwkMafOrK996LG1/sXAxsPJmiGv+V3Hv\np6p48+ggNu7owumh9BH/zU4TblhUj8tmOqFwkBwREZWJlOGua59750kAgLLmfkS/e6+2Lvu6f0Lk\ny58B3LUQLbPSdhd2B8S1xa2te7DXj398+zTe70xfQ77OZsTnF9bhytku1tSJiKjspAx3pVxjykb3\np1usuhzW6w/juXe78J8HvGmdAE6zgusX1uFTZ7lhYp86ERFNEEnDvUyj5UeHe4lN46qq4r8OerHx\nnc60y9oMArhmbg2uX1jH6WGJiGjCSRnuulZyyxTuxwYCePKt03j/9Eja4xc02/Gl8xvQwqVWiYho\nkkgZ7uWpuQtdLnOLRFX8bHcPnt/Zg3A0ebwGuxF/vmQaFk93lPweREREpZAy3HVai0UTD3QhMOay\nuAKH5Z8YCOLRN09gb3dyOVpFAJ+Z58ENi+pgNbJfnYiIJp+U4a7oOaI8rVl+1HN5Nsurqop//7Af\nG9/pRCCSPEi7x4o7LpqG2R59BuYRERHpQc5w17XmHs28DSCf5WkGAhE8+rsTacuwGgRww6I6fG5+\nLS9tIyIi6UgZ7rpe555qdJ/7OMG8t9uH779+HN0jyVXbWl1mrP14M2vrREQkLUnDXceD5RpQJzL3\nkauqipf39uHZdzqR0gqPFfNqcPPH6jkPPBERSU3KcC/bde6jO90z9LkHwlGs/8Mp/ObwQOIxh1nB\n3Zc04cIWp37lIiIiKhM5w13PirE5eb25uOwqwNur3Wk/B2LBBWm79vnC+M5rx7CvJzkavt1jxb2f\naEajg+urExFRZZAy3PXscxdnzYd68ijgcEL5ky8m3+O+76Xtd6jPj29vPZbWv351uxtfXtzAqWOJ\niKiiSBnuJY+Wb50N5YY/17ZjzfIix2Vv750axt+/dhz+sDaaXhHAbRc04Nq5NTlfR0REJCM5w73n\nZIkHMEC0n5PXrr8/Oogf/vYEQrHZ5mwmBd+4rBnnN3OmOSIiqkxShjv++Sn9jpVjytn/OtCP9X84\nhfgssp4qIx68cgZmujkvPBERVS4pO5MN0fD4O402a25iUzQ0Jx/PEu7/sb8fP/p9MtibnCY8fFUr\ng52IiCqelDV3oUYK2l+545vA2QsR/ernofzoXwCjKeXZseH+6kEvNvzhVOL+rBoLHlw2A+4qKU8H\nERFRQaSsuSu5au7t88c+ZkiGsqiyQZhSwn1Utv/m8AAe//3JxMNzPFZ8+5OtDHYiIpoypAz3XDV3\nZeXNGV6A7H3rKY+/fXwI6353ItEUP6vGgoeunAGHWc8p8YiIiCaXlOGuRHM0yxsUKD/YmP6YUJCp\n+V2jPX6g14/v//Z4IthbXWY8dOUMOC0MdiIimlqkDHeh5hpQJwCbfdRDOa5FV4FOixt/t+Uo/GEt\n2RvsRjy0vBUuK5viiYho6pEy3HPW3IGC1mX3QcHfL/oS+vzaMe1mBQ8smwEP+9iJiGiKkjLhctfc\nMXZddiEytsqrqor1xoU4ap0GADAqAn91eQtaXbzcjYiIpi45a+65LoUTmZZuzVxz/8WeXvzOmLzm\nfc2FjVjQaNOjiERERNKSMtzFeJPYZKq5j6q67zo9gp/s6Erc//RZbiyf49aphERERPKSMtxz1twB\noMoOWKzJ+yL9xxgKRtIueTu7zorbLmjUuZRERERykjLcx5uhTggBcd4lKQ8gran+x9tOoyu2dKvT\nrODeT0yHScdlZImIiGQmX7irUYjRze5Z9ksQCmDUxgb+5vAAXjs8kHjq9oumoc5mGv1qIiKiKUu6\ncFfUCPKqY7fPBxxObdtogrDaMPi95/Djbck546+cXY1LW6vLUk4iIiJZSXcpnBjvGvfYyHhl6aeB\npZ+GeuwQML0NALBxzzAGg1qNvsFuxJcXs5+diIjOPNKFuzLeNe7WqrS7omUWAOC9U8PYcijZHP+V\nJdNgM3FqWSIiOvNI1yyfs+ZeZYdobh3zcCii4sm3TifuX9rqxAXTHeUoHhERkfSkC/dMl8GJqz6r\nbcT72Ef51Yd9ODEYBADYTApuu6ChbOUjIiKSnXThnnECG0tsulgxtrhDwQie39mduP/5hXWo5eh4\nIiI6g0kX7hlr7ld/LrYxdhz9z3b1JAbRNTpMuGYuZ6EjIqIzm3ThnmkCGxGfjW5UuPeMhPDSnr7E\n/ZvPrYfJIN2PRERENKGkS0Il17zyo8J98we9CMXmmG33WHHZzMx98kRERGcS6cI959SzSrK4Xn8Y\nv/qwP3H/8wvroORY152IiOhMIV24j7toTMyLe/oQjGi19lk1Fiyebi9nsYiIiCqGfOGeR7P8SCiC\nX+5L9rWvWlALwVo7ERERAAnDPWezfCzAtx4awEhIGyE/vdqMi2ewr52IiChOvnDPNUOdUKCqKl7Z\nm6y1Xzu3hn3tREREKaSaW/7ibX8HY9iXfQchsPP0CI4NaLPRWY0Kls3mqm9ERESppAp3j/fD3DsI\ngV/uS46Qv3J2NReHISIiGkWqcM9F/OmtGGqciW0fDCYe+/TcmkksERERkZyk63PPRrn6s3jDNgth\nbRwdzqq1otVlmdxCERERSahiwh1A2nrtS2exr52IiCiTign3k4NB7O3WBtsZBPCJmQx3IiKiTCom\n3N/4KNnXfn6zAy5rxQwXICIimlByh3tNXWLzD0eT4X5pKyetISIiykbecG87K7HZ6wtjX48fAKAI\nYPF0x2SVioiISHryhjsAqNrQ+LeOJWvtCxpscFp4bTsREVE2JXdcR6NR3H///fB4PLjvvvswNDSE\nRx99FF1dXWhoaMDatWths9mKO7i26BveOjaUeOjCFtbaiYiIcim55v7LX/4S06dPT9zfvHkzFi5c\niMceewwdHR3YtGlTcQcWAlCjCAkDdp4eSTzMcCciIsqtpHDv6enBjh07sHz58sRj27dvxxVXXAEA\nWLp0KbZt21b8G6gq9rpmJtZtb3Ka0Ogwl1JkIiKiKa+kcP/JT36CW265JW0tda/XC7fbDQBwu93w\ner3Fv4Gq4j13e+LuudPsxR+LiIjoDFF0n/s777wDl8uFtrY27Nq1K+t+IstyrLt27Up73apVq9Ke\nNygK0NKG95znJB67qK0WTicvgyuF2WzmOSwznuPy4zkuP57jifPCCy8ktjs6OtDR0VHyMYsO9z17\n9mD79u3YsWMHgsEgfD4fHn/8cbjdbvT39yduXS5XxteP9wNEolH4v/JN7P/FEUAFBIB2l4LBwcGs\nr6HxOZ1OnsMy4zkuP57j8uM5nhhOp3NM5VYPRYf7jTfeiBtvvBEAsHv3brz00ku466678NOf/hRb\nt27FypUrsXXrVixevLjowu0biCIaGzHfVmNBNS+BIyIiGpfu17mvXLkSO3fuxN133433338fK1eu\nLO5AqpqYSx4A5tVV6VRCIiKiqU2XCdrnz5+P+fPnAwAcDgceeOABPQ6LvV0p4V7PcCciIsqHvDPU\n3fo17OtJhvvZrLkTERHlRdpwP+lowFBQm3622mLANIdpkktERERUGaQN933d/sT23Fpr1kvqiIiI\nKJ204X6kP5DYbq+1TmJJiIiIKou04X64L1lzb3Mz3ImIiPIlb7in1NzbaiyTWBIiIqLKImW495sc\n6PdHAAAWg0AjB9MRERHlTcpwP+KYltie6bZA4WA6IiKivMkZ7vamxDab5ImIiAojZbifsNUntme4\nGO5ERESFkDLcT1bVJrabneZJLAkREVHlkTTc6xLb05wcTEdERFQI6cI9oBjRba0BACgCaLSz5k5E\nRFQI6cK9c8lVie0GuwkmA0fKExERFUK6cD9Z05LYbmJ/OxERUcHkC/eUa9yb2N9ORERUMOnCvbt2\nRmK7wc5wJyIiKpR04d4zEkps19kY7kRERIWSLty7h8OJ7TqbcRJLQkREVJmkC/e0mjub5YmIiAom\nVbiH5i5MrAanCKCmijV3IiKiQkkV7n2GKqixbbfVCKPCa9yJiIgKJVW4dxsciW32txMRERVHqnDv\nMdgT27UcKU9ERFQUqcLdq1gT2zVVhkksCRERUeWSKtwHDMlwd1nYLE9ERFQMqcI9tebusrLmTkRE\nVAxpw72a4U5ERFQUqcJ9QLEkttksT0REVBzJwp01dyIiolJJFe5pfe4WhjsREVExpAr3YcUMQJt6\n1mFmuBMRERVDqnCPc5oNMHDqWSIioqJIGe4ONskTEREVTcpwt5mkLBYREVFFkDJF7Qx3IiKiokmZ\nonYOpiMiIiqalOHOZnkiIqLiSZmirLkTEREVT8pwZ82diIioeFKmKMOdiIioeFKmKJtU8ZaSAAAI\nLUlEQVTliYiIiidnuLPmTkREVDQpU7SK4U5ERFQ0KVPUapSyWERERBVByhRluBMRERVPyhS1GLki\nHBERUbHkDHeDlMUiIiKqCFKmqJk1dyIioqJJGe6suRMRERVPuhQ1KgIGhTV3IiKiYkkX7hxMR0RE\nVBr5wp1N8kRERCWRLklZcyciIiqNfOHOmjsREVFJpEtS1tyJiIhKI1+4s+ZORERUEumSlDV3IiKi\n0hgnuwCp/miOCzPdlskuBhERUUWTKtzvvLhpsotARERU8aRrliciIqLSMNyJiIimGIY7ERHRFMNw\nJyIimmIY7kRERFMMw52IiGiKKfpSuJ6eHqxfvx5erxdCCCxfvhzXXHMNhoaG8Oijj6KrqwsNDQ1Y\nu3YtbDabnmUmIiKiHIoOd4PBgC9+8Ytoa2uD3+/Hfffdh3PPPRdbtmzBwoULsWLFCmzevBmbNm3C\nTTfdpGeZiYiIKIeim+Xdbjfa2toAAFarFdOnT0dPTw+2b9+OK664AgCwdOlSbNu2TZeCEhERUX50\n6XPv7OzEkSNHMHfuXHi9XrjdbgDaFwCv16vHWxAREVGeSp5+1u/345FHHsHq1athtVrHPC9E5oVg\ndu3ahV27diXur1q1Cs3NzaUWh/LgdDonuwhTHs9x+fEclx/P8cR44YUXEtsdHR3o6Ogo+Zgl1dwj\nkQj+4R/+AZdffjmWLFkCQKut9/f3AwD6+/vhcrkyvrajowOrVq1K/Ev94ah8eJ7Lj+e4/HiOy4/n\neGK88MILaVmoR7ADJYb7k08+iZaWFlxzzTWJxy644AJs3boVALB161YsXry4pAISERFRYYpult+z\nZw9ef/11tLa24t5774UQAjfccANWrlyJdevWYcuWLaivr8fatWv1LC8RERGNo+hwnzdvHp5//vmM\nzz3wwAMFH0+vpgjKjee5/HiOy4/nuPx4jidGuc6zUFVVLcuRiYiIaFJw+lkiIqIphuFOREQ0xTDc\niYiIppiSJ7HRw7vvvouNGzdCVVUsW7YMK1eunOwiVYxiFvDZtGkTtmzZAoPBgNWrV+Pcc88FABw8\neBAbNmxAKBTCeeedh9WrV0/iTyafaDSK+++/Hx6PB/fddx/Psc5GRkbw1FNP4ejRoxBC4Pbbb0dT\nUxPPsY42bdqE119/HYqioLW1FWvWrIHf7+c5LtGTTz6Jd955By6XCz/84Q8BQNfPh3A4jPXr1+Pg\nwYNwOp1Yu3Yt6urqchdKnWSRSES988471c7OTjUUCqn33HOPeuzYsckuVsXo6+tTDx06pKqqqvp8\nPvWrX/2qeuzYMfW5555TN2/erKqqqm7atEn96U9/qqqqqh49elT9xje+oYbDYfX06dPqnXfeqUaj\nUVVVVfX+++9XP/zwQ1VVVfU73/mOumPHjon/gST20ksvqY899pj68MMPq6qq8hzrbP369eqrr76q\nqqqqhsNhdXh4mOdYR52dneodd9yhhkIhVVVV9ZFHHlG3bNnCc6yDDz74QD106JD69a9/PfGYnuf1\n17/+tfrMM8+oqqqqb7zxhrpu3bpxyzTpzfL79+9HU1MT6uvrYTQacemll3KxmQIUuoDP9u3b8fGP\nfxwGgwENDQ1oamrC/v370d/fD5/Ph/b2dgDA5Zdfzt9Dip6eHuzYsQPLly9PPMZzrJ+RkRHs2bMH\ny5YtA6CtOmmz2XiOdVRVVQWj0Qi/349IJIJgMAiPx8NzrIN58+bBbrenPabned22bVviWBdffDF2\n7tw5bpkmvVm+t7cXtbW1ifsejwf79++fxBJVrnwW8Ont7cXcuXMTr/F4POjt7YXBYEj7PdTW1qK3\nt3difwCJ/eQnP8Ett9yCkZGRxGM8x/rp7OyE0+nEhg0bcOTIEcyePRurV6/mOdaRw+HAddddhzVr\n1sBisWDRokVYtGgRz3GZ6HleU3NSURTY7XYMDQ3B4XBkff9Jr7mTPopdwIfGF+9La2trg5pjWgie\n4+JFo1EcOnQIV199Nb73ve/BYrFg8+bNY/bjOS7e6dOn8corr2DDhg14+umnEQgE8Prrr4/Zj+e4\nPPQ8r7k+h+Imvebu8XjQ3d2duN/b2wuPxzOJJao8uRbwid/GF/AZfb57enrg8Xjg8XjQ09Mz5nHS\nplrevn07duzYgWAwCJ/Ph8cff5znWEcejwe1tbWYM2cOAK3pcfPmzTzHOjpw4ADOPvvsRG3vwgsv\nxN69e3mOy0TP8xp/zuPxIBqNwufz5ay1AxLU3Nvb23Hq1Cl0dXUhHA7jjTfe4GIzBSpkAZ/Fixfj\nd7/7HcLhMDo7O3Hq1Cm0t7fD7XbDZrNh//79UFUVv/nNbxJfFM50N954I5588kmsX78eX/va17Bg\nwQLcddddPMc6crvdqK2txYkTJwAAO3fuREtLC8+xjpqbm/Hhhx8iGAxCVVWeY52pqppWo9bzvC5e\nvBivvfYaAODNN9/EggULxi2PFNPPvvvuu3j22WehqiquvPJKXgpXgD179uBb3/oWWltbIYRILODT\n3t6OdevWobu7O7GAT3zAx6ZNm/Dqq6/CaDSOuQzjiSeeSFyGceutt07mjyal3bt346WXXkpcCsdz\nrJ/Dhw/j6aefRjgcRmNjI9asWYNoNMpzrKMXX3wRW7duhaIoaGtrw1e+8hX4/X6e4xI99thj2L17\nNwYHB+FyubBq1SosWbJEt/MaCoXw+OOP4/Dhw3A6nbj77rvR0NCQs0xShDsRERHpZ9Kb5YmIiEhf\nDHciIqIphuFOREQ0xTDciYiIphiGOxER0RTDcCciIppiGO5ERERTzP8ANoAam0ksmJwAAAAASUVO\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "exp_2_fast = lambda n: exp_fast(2.0, n)\n", "\n", "from math import log\n", "plot_times('exp_2_fast', range(20, 10000), log, pct=0)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }