{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "deletable": true, "editable": 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, "deletable": true, "editable": true }, "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, "deletable": true, "editable": true }, "outputs": [], "source": [ "args = range(20, 1000)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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XHX+7tHyhmvX5qUxiUr2PA1SH8AsAAEIT4Se82S05UmG+JCn51GH1OgZQG254\nAwAAIbF+f3Ap30MPqHitw8yv3Vss5WyQmjeX+7vxUmZbOY+9rKTDOkm7djWgWuDQCL8AACA0Ia7z\nW2tI3n/sX6bL/ucfUmpLKSNTzp2PySSn1L9GoBa0PQAAgNCEvNRZaOPcT/8aCL6SVLxHziWjZDIy\n61kcEBpmfgEAQGhC7eUNoe3BWis7a1pgo0dPORePkunRswHFAaEh/AIAgJrZimbe2toeKj8PJSTn\nbg68pjSXc/VYmc5H1L8+oA4IvwAAoGaVbQy1rd9bGXprmfm11sp97y0pPVPOk1NkmiWHoUggNIRf\nAABQs8owW1svby0h2e4ukP3vP2UXfS2tWS7nl/cSfBF1hF8AAFCzylBbWy+ve+iZX1u0W0pOkf3j\nq7LffCFJcn5xj8xPB4a7UqBWhF8AAFCzYPitX9uDe8dVUss0qWi31K+/nHMvk+mWFYFCgdoRfgEA\nQM1siDO/leG3rEy2rFSmWbLs7sLAvj2FUs9+csY+IOOw0ipih999AACgZv5Qe34D4+z7M+Xecmlg\n38Y1gdceveSMuYvgi5hj5hcAANTMrX0JM+u6+5ZEq/zatN/Kzv9cSm0h556JMibU574BkcNfvwAA\nQM0qw2816/zapd/K/cUFB++f/7kkyVwymuCLRoOZXwAAULPKXt9qZn7toq8O/b3kFDmP/16mdZsI\nFQbUHeEXAADUrLbVHhKTDtrl3PuUdEQPmaSDPwNiifALAABqVts6v3uLq263aCV1z5JxEiJbF1AP\nhF8AAFAzW/PMr83bEXzvvPAnqVkywReNFuEXAADUrJqHV1hrpdXLpR1bJUnmnEtlmqdGuzqgTgi/\nAACgZtX1/C7+Su5LT0qSzJi75Jx0WnTrAuqBpc4AAEDNqml7cOe8J0kyA4fK9B8c7aqAemHmFwAA\n1Gy/tgdbvEf2k/dl//U3qbhIzs33yRx/SmzrA+qA8AsAAGoWfMKbK/vxe7IfvRPY7nOClD0gdnUB\n9UD4BQAANatoe7AlxdLcOVJqS5kLr5Fz2tmxrQuoB8IvAACometKjiNVPMnNGT9ZplPXGBcF1A83\nvAEAgGrZ0pJAz2/f/oEdPXoRfNGkMfMLAAAOyW5YLXfCOEmS6ZUt/eRomUHDYlwV0DCEXwAAcBC7\nfKHc5x8JbpvjTpLJyIxhRUB40PYAAAAO4v5pavC9c+d4gi/iBuEXAABU4X7yV+nHzZIkM+p2mV7H\nxbgiIHwsqkkxAAAgAElEQVRoewAAAEG2ME/2nWmSJOeR38l06RbjioDwYuYXAIAmwG5aK//zj8ge\n8IjhsB2/ME/+Z+6XO+46KSFRzpOvEnwRl5j5BQCgCXD//Ia0colUViKlpIb12Pa7b2W//o+0apkk\nyblnoky7jmE9B9BYEH4BAGgKysurvoaJXfe93BfGBza6Zcm56FqZ7keH9RxAY0L4BQCgKSj3VX0N\nE/vp+1JmWzk3/lrqfKRM8/DOKgONDT2/AAA0BRGY+XW/mSv7zRcyZ5wn06MXwReewMwvAABNgb8y\n/DZ85teuWCx35hRpS44kyfQf0uBjAk0F4RcAgKYgTOHXuq7c1/+flL9TkuT8v5kyLVo2tDqgyahT\n+J09e7a+/vpr5ebmqlmzZsrKytJVV12lTp06Bcf4fD7NmDFDX375pXw+n/r166cbbrhB6enpwTE7\nduzQa6+9puXLlyslJUVDhgzRlVdeKcfZ14WxbNkyvfnmm8rJyVHbtm114YUX6rTTTmv4TwwAQFMU\nhrYH67rS6mVS/k45Yx+Q2nYg+MJz6tTzu3LlSp199tmaMGGCfvOb38jv92vChAkqKysLjpk+fboW\nLlyocePGafz48crLy9Nzzz0X/Nx1XU2cOFGu62rChAm65ZZb9Pnnn+udd94Jjtm2bZsmTZqkPn36\n6JlnntHZZ5+tKVOmaMmSJWH4kQEAaILCcMObnfmK3GcflDp2kfr1lzmcdXzhPXUKv/fff78GDx6s\nLl26qGvXrho7dqx27NihdevWSZKKi4v12Wef6brrrlOvXr3UrVs3jR07Vt9//73WrFkjSVq8eLFy\nc3N16623qmvXrsrOztbIkSP18ccfy+/3S5LmzJmjDh066Oqrr1anTp101llnacCAAfrwww/D/OMD\nANBEVM74+uoefu361bLfzpP99z8kSc51t8o43PMOb2rQ7/zi4mJJUsuWgX8yWbdunfx+v3r37h0c\n06lTJ7Vt21arVq2SJK1evVpdu3ZVWlpacEy/fv1UXFyszZs3B8f06dOnyrmys7ODxwAAwHMqJojq\n2vZgf9gk98lxcl95Sur6EznPvyXTo2cECgSahnrf8Gat1fTp03XMMceoS5cukqT8/HwlJiYqNbXq\nUinp6enKz88Pjtm//1eSMjIygp9VNyY9PV3FxcXy+XxKSkqqb9kAADRNfl/V1xDY3YVyX3hUkmTO\nuljmwmuY8YXn1fu/gKlTpyonJ0e33357rWOttSEd0xhT6zFqGgMAQNyqmPG1vupnfq3PJ//422TX\nfS/r+mVnviLt2iH1OUHOxdcRfAHVc+Z32rRpWrhwoR577DFlZmYG92dkZKi8vFzFxcVVZn8LCwuD\ns7sZGRlau3ZtleNVzvjuP6agoKDKmMLCQqWmpiox8dAlz507V/Pmzauyr0OHDho1apTS0tJCDuBo\n2pKSkqr8nkR843p7i1evt1uQp7xxo4LbLZObKaWaX4fyTeuUl7NBCe/PVEKXI1SyYK5aXDNWKcPO\nl9OiVZQqDg+vXm8vqpzYnD59urZu3Vrls4EDB2rQoEFhPV+dw++0adO0YMECPfroo2rbtm2Vz7p3\n766EhAQtXbpU/fv3lyTl5uZqx44dysrKkiRlZWVp9uzZKiwsDPb9LlmyRKmpqercuXNwzKJFi6oc\ne/HixcFjHMqgQYOq/cUpLCyUrx43CKDpyczM1K5du2JdBqKE6+0tXr3eduUSuXk7pcO7SZvXa09B\nvoqr+XWwa1ZKknzLFsq3fLHMxdepZPBZKin1SaVN69fOq9fbi5KSktSuXTuNGjUqKuer079/TJ06\nVXPnztVtt92m5ORk5efnKz8/P7jUWWpqqs444wzNmDFDy5Yt07p16/T73/9eRx99tHr06CFJ6tu3\nr7p06aLJkydr48aNWrRokWbNmqXhw4cHZ3WHDRumLVu26K233lJubq4+/vhjzZ8/X+eee26Yf3wA\nABq50lJJknPbI1JCYo03vNltP+7b6HuCzNARka4OaHLqNPP7ySefSJIeffTRKvvHjh2rIUMCj0a8\n7rrr5DiOfvvb38rn8yk7O1tjxowJjnUcR/fee6+mTp2qhx56KPiQi8suuyw4pn379rr//vs1Y8YM\n/f3vf1ebNm108803q2/fvvX9OQEAaJJsWUngTXKKlJhU8zq/P+ZInbrKuf0RqXVb7pMBDqFO4XfW\nrFm1jklKStL111+v66+/vtoxbdu21X333VfjcXr16qWnnnqqLuUBABB/SivDb7KUmFht+HXf/6Ps\n3E9kzrxAJrNdFAsEmpZ6L3UGAACioLRUSkyScRIqZn6rtj24f50pu3qZ9P13MudfIXPeyBgVCjQN\nhF8AABqzshIpJSXw/oCZX1vuk/3gT5Ik87MRMudfTqsDUAvCLwAAjVlpidSsIvwm7ev5tZvWyn15\noiTJeeh5mSN+EqsKgSaF8AsAQGNWWhq42U2SEhJlP/9I/pwN0vKKJUF7HRdYBg1ASAi/AAA0ZmUl\nUrPkwPsfNgZeK4KvM2maTBtubgPqgvALAEBjVlKyb+a30vGnyJwwkOAL1APhFwCARsyW7Rd+u2VJ\nxijh5pqXCwVQPcIvAACNWWmJTGpLSVLCA8/KWhvjgoCmrU6PNwYAANHjfvOFtGJxYJWHCixlBjQM\n4RcAgEbK/uWNwOuGNTGuBIgftD0AANDI2JwNkjHSnkIpIVHOZWNiXRIQNwi/AAA0Ira4SO742wIb\nGZlyHnxOJqNNbIsC4gjhFwCARsIW7Zb9+gtJkrngapmBQwm+QJgRfgEAiDHrupLfL3fCOGn7Fqn3\nT+Wce1msywLiEuEXAIAYc6c8Lf3vv4GN40+Rc+2vYlsQEMcIvwAAxJB13X3Bt2c/HmABRBjhFwCA\nGLJzZkuSzODhMhddG+NqgPhH+AUAIMps8R7ZhV/J/vN9afN6qV9/mStukklMqv3LABqE8AsAQJTZ\nj2fLfvTnwMaRR8m5+X6ZhITYFgV4BOEXAIAos1t+kCSZn18p57zLY1wN4C2EXwAAosT9Yo7svz6Q\ncjbInHkhwReIAcIvAABRYPcUyr45ObCR3lqm/6mxLQjwKMIvAAARZov3yH3mAUmSc88kmaN6xbgi\nwLsIvwAARJBdvlDu9Bel3QUyV/6S4AvEGOEXAIAIcGe8KKW1lv30Penw7nLG3CVzdO9YlwV4HuEX\nAIAws+XlsnM/CWw0byHntodlUlvGtigAkiQn1gUAABB3cjcF35phPyf4Ao0I4RcAgDCypaVyX3tW\nkmSGni8zbESMKwKwP9oeAAAIA1uQJ/2wMdDusCVH5qpfyjntnFiXBeAAhF8AABrIWiv3uYekHzdL\nkszIMSL4Ao0T4RcAgAayf/9LIPge0UPOZdfLZLGqA9BYEX4BAKgHm79TdtY0mVOGyr73lsy5l8m5\n4OpYlwWgFoRfAADqwc79VHbBXNkFc6UePWVGXBHrkgCEgNUeAACoj4K84FvnuttknIQYFgMgVIRf\nAADqyP36P7KffyRJMhddJ9Oxc4wrAhAq2h4AAKgDd+Yrsp8Fgq9z629k+p4Y44oA1AXhFwCAEFhr\n5b4ySfrfl1LWsXLGPijTgie3AU0N4RcAgFpY15X9eHYg+LbvJOeO8TJJzWJdFoB6IPwCAFADW1Is\n+/YU2fmfSUnN5Dz+Eje3AU0Y4RcAgGq4H/1ZdvYfJEnm5NNlzryA4As0cYRfAACqEQy+Z14o59LR\nMa4GQDgQfgEA2I91/bLz/im7cH5gx7HHyZx7WWyLAhA2hF8AAPa3fJHsm5ODm871d8qktohhQQDC\nifALAIAku+1Hub97VNr2oyTJefJVKSVVplVabAsDEFaEXwAAJLnvTJPyd0qSzNDzZdp1jHFFACKB\n8AsA8DxbWiot+5/MBdfInHGeZEysSwIQIYRfAIBnWdeV/WKO7PszJb9fpl9/maSkWJcFIIIIvwAA\n71q2UPatlyVJzp2PyXTsHOOCAEQa4RcA4Cm2IE9qniolJsn9/CMpLUPOPZNkOnSKdWkAooDwCwDw\nFPfX10lH9JDSW0vfLZC58W6CL+AhhF8AgGfYwrzAm41rpJTmcm79jUyfE2JbFICoIvwCADzB+v1y\np/42sNGuo5yb7pY58qiY1gQg+gi/AIC4ZrflSgX5squWSisWS+mZciZMkWE5M8CTCL8AgLjmPveQ\ntGuHJMmceaHM+SMJvoCHEX4BAPGtIviqRSuZC65mHV/A4wi/AIC4ZTeukSSZ08+VOf9ygi8Awi8A\nIP5Y1y87/UXZ+Z9Lhx0uc+E1Ms1TY10WgEaA8AsAiBvWdaWyEtn/fCz75b9kLhkVmPVtlhzr0gA0\nEoRfAEDcsDNelP3vP4PbZtgFMo4Tw4oANDaEXwBAXLA/bNwXfI0jZ+z9BF8AByH8AgBiwrpuWMKp\nLS+X+/xvpFXLpM5HyPnFvVL7w2QSEsJQJYB4w1+JAQBRZ1ctlfuLCwIPoGiodSsDwVeSc8VNMod1\nIfgCqBbhFwAQdXb18sCbH3MadpzCPLkzJkuSzNDzpazeDS0NQJyj7QEAEH2V7Q6uW+9D2FXL5L76\njFRSLHP5TXKGnhem4gDEM8IvACD6Kh8vbOsXfm1pidw3J0tGcu57SqZLtzAWByCe0fYAAIg+U/F/\nP7buX7V7i+U+cae09Qc51/6K4AugTpj5BQBEX8XMry33yYQw3O4uUNkPG2Qz2sp9/Xkpf5ecuyfK\nZB0b2ToBxB3CLwAg+irbHspKQxruvv68Cpb+T2qVLpWVyrlhHMEXQL0QfgEA0VfuC7yWlYU2fsfW\nwOvuAjlPvirTrmNk6gIQ9+j5BQBEn68i9IYw82vLy6Vd2yVJpv9ggi+ABmHmFwAQfb7Kmd+SGodZ\na+W+9IRUVqa0eyZoz096RaE4APGM8AsAiL5aZn5taYncqb+VNq2Vdm2XufIXatZ/sExeXhSLBBCP\nCL8AgOirLfwuWSAtmi9z0ulSj54yg4fLmFDWhQCAmhF+AQDRV3mjW+nB4dd+t0D21aeljDZyxtwZ\n5cIAxDvCLwAg+ipmfu1+Pb921VLZ5Ytk//4XSZIZPDwmpQGIb4RfAEDU2QOWOrPlPrnPPBDY99NT\n5Iy+UyY5OUbVAYhnhF8AQPRV9vqWlgRme7/+d2A7qZmcK39B8AUQMYRfAED0VS51tm6l3MlPBNsg\nnMmzZJyEGBYGIN4RfgEA0ecrk9IypMJ8SZLz0PNSgkPwBRBxPOENABB9vjKZo/sE3nc/WuaIn8h0\n6RbbmgB4AjO/AICosCuXSMVFUq9+Uv5O6aenyFx/p8yxx8W6NAAeQvgFAEScLS2R+9xDgY0u3aSy\nMplBw2Qy28W2MACeQ9sDACDy1q/a9z5nvZwbxhF8AcQEM78AgIiza5ZLzVtIHTpJ5eUyPz0l1iUB\n8CjCLwAgotz5n8v+dabMiafKXM/jigHEFuEXABAR1lcm9/mHpdXLJUnm9HNlEvm/HQCxxZ9CAIDI\n+G5BMPg6Dzwr0y0rxgUBAOEXABABdvsWuX/7k5TSXObS0QRfAI0G4RcAEFa2aI/cSfdIySly7n5S\nputPYl0SAAQRfgEAYeP+82+yf31bcq2c3zwvk9Em1iUBQBWEXwBAg1lrpXKf7J9ekyQ5v7yX4Aug\nUSL8AgAaxG5eL/fJX0vprSVJziMvyHQ5MrZFAUA16hx+V6xYoffff1/r1q1Tfn6+7r77bp1wwgnB\nz19++WX9+9//rvKd7Oxs3X///cHtPXv26PXXX9e3334rx3E0YMAAjRo1SikpKcExGzdu1Ouvv641\na9YoPT1dZ511lkaMGFGfnxEAECHWWtlv50nlPqm4SGb4hVLnI2JdFgBUq87ht7S0VEceeaROP/10\nPffcc4cck52drVtuuSXwz2CSkpKSqnz+wgsvqKCgQA8//LDKy8v18ssv69VXX9Vtt90mSdq7d68m\nTJigvn376sYbb9SmTZv0+9//Xi1atNDQoUPrWjIAIELsJ+/JfviOdFQvOXc+LnPAn/cA0NjUOfxm\nZ2crOzu7xjFJSUlKS0s75Gc//PCDFi9erEmTJqlbt26SpNGjR2vSpEm69tprlZGRoS+++EJ+v183\n33yzEhIS1KVLF23YsEEffPAB4RcAGgm7LVf2z29IkpzhFxF8ATQJTiQOumzZMt1444264447NHXq\nVO3Zsyf42apVq9SiRYtg8JWkvn37yhij1atXB8f07NlTCQkJwTH9+vVTbm6uiouLI1EyACBE1vXL\nnTNb7oO/lCQ5tzwg069/jKsCgNCE/Ya37OxsDRgwQO3bt9fWrVs1c+ZMTZw4UU888YSMMcrPz1d6\nenqV7ziOo5YtWyo/P1+SVFBQoPbt21cZU/md/Px8paamhrtsAEAI7Ob1ch+7XZJkhv1cZsBpUtfu\nsS0KAOog7OH3lFNOCb4//PDD1bVrV916661atmyZevfuXe33rLUyxoS7HABAmNjSErn/96YkyZx4\nqswlo2WciPwDIgBETMSXOmvfvr1atWqlLVu2qHfv3srIyFBBQUGVMa7rqqioSBkZGZICs7wHjqnc\nrhxzoLlz52revHlV9nXo0EGjRo1SWlpa8OY7xLekpCRlZmbGugxECdc7una/9pxKln6rZv1PVfq9\nE6N+fq63t3C9vaNy8nP69OnaunVrlc8GDhyoQYMGhfV8EQ+/O3fu1O7du9W6dWD9x6ysLBUVFWn9\n+vXBvt/vvvtO1lr16NEjOGbWrFlyXVdOxazC4sWL1alTp2pbHgYNGlTtL05hYaF8Pl+4fzQ0QpmZ\nmdq1a1esy0CUcL2jw+4ukDavk/vp36Su3VV+0XUx+XXnensL19s7kpKS1K5dO40aNSoq56tz+C0p\nKdGWLVuC21u3btWGDRvUsmVLtWzZUn/5y180YMAAZWRkaMuWLXr77bfVqVMn9evXT5LUuXNnZWdn\na8qUKbrhhhtUXl6u119/XQMHDgzO6g4aNEjvvvuuXn75ZV1wwQXatGmT/v73v2v06NFh+rEBAKGw\nZaVy77omsNEtS86tD8u0OvRqPgDQFBhbx36A5cuXa/z48QftHzJkiG644QY988wz2rBhg4qLi9W6\ndWv169dPI0eOrLL0WVFRkaZNm1blIRejR49WcnJycMymTZs0bdo0rV27Vq1atdLZZ59d74dcbN++\nnZlfj2CmwFu43pFl9xTKve9GqXSvJMl5+g2Z1rF7ZDHX21u43t5ROfMbLXUOv00R4dc7+MPSW7je\nkWHXrpR8ZbLrV8v+3wypy5FyHv5dzG9K5np7C9fbO6IdfiPe8wsAaFrcSfcE3qS3ljn5dJlrb415\n8AWAcGGNGgBAkN3/X8n85TIXXSuTyDwJgPhB+AWAOGO3/CCbv7N+X/7um8Bry1ZyxtwlkxG7Hl8A\niAT+Og8Accb9zc2S4yhhynshf8e6ruy8T2VnTZP6nCDnVw/xAAsAcYnwCwDxyHVDHmpdv+zst2T/\n8a507HFyfnEPwRdA3CL8AoCH2e+Xyv39RKlot8zJp8u5/s5YlwQAEUX4BQCPsq5/X/D92QiZy8bE\nuiQAiDjCLwB4jN1dKPeuq4PbZtRtgSXNWM4MgAcQfgEgjtgQen3tikXB9+aaW+QM/FkkSwKARoU7\nGgAgnvjKavzY7touLf5akmTOvkTO4OHRqAoAGg1mfgEgnpSWVPuRzd8l995AX6+58Bo551waraoA\noNEg/AJAPNkv/Fprg3287pSnZRfMlSSZS0bLDPt5TMoDgFgj/AJAPCkr3fe+3CfrunIfuEkqzJck\nmXMvkzP8whgVBwCxR/gFgHiyf9tDSYm07vt9wfe0s2WGXxSjwgCgcSD8AkA82X/mN3ej3I/flRIT\nZa6/S86Jg2JXFwA0EoRfAIgnpfvCr/vsg1JCgszoOwi+AFCB8AsAccSWVV3twbljvMwxfWNUDQA0\nPoRfAGgC3M8+lOmZLdOxc7VjbGGetGyhJMmMvl3mxMEySUnRKhEAmgQecgEAjZy1VvadabLzPq1+\nzIrFcsddJzvvU5nTzpFzylCCLwAcAjO/ANDYlZVK5eWyuZuqHWIXfSVJMpffJGfoedGqDACaHGZ+\nAaCx27M78Prj5iq77eKvZYt2y/3sI9l/fSAz5CyCLwDUgplfAGjsiirC746tsqWlMsnJsnuL5U5+\nYt+YPifIjLgiNvUBQBPCzC8ANHaV4ddaaUvF7O+mdfs+P/5kOb+4RyatdfRrA4AmhvALAFFgc9bL\nfX9m/b5cvGffcXID4deuWR7YcUQPOaPvkElOaWiJAOAJtD0AQBS4428PvBlxZZ2/a4t2S8aRWmfK\n/usD+T+YJW3LlfqcoITbHg5zpQAQ3wi/ABBh1tp9711XxqnjP7oV7ZFatJAO7y4t/lqSZE4+Q+aq\nm8NZJgB4Am0PABBpq5fte+/z1emr1ueTnf+51CJNzrkjJUnmxl/Luf4OmeTkMBYJAN7AzC8ARJid\n//m+DV+pVJfQunKJlLtJ5oZxMt2OkvPin2RSUsNeIwB4BTO/ABBhNm+HVHlDWllZ6N/z+2W/+lxq\n2Uqm/2BJIvgCQAMRfgEg0kpLpJZpgfdlpSF9xbp+2b//Wfarf0ttO8oYE8ECAcA7aHsAgEirDL87\nt0m+0GZ+7RsvyM7/TJLkXDI6ktUBgKcQfgEg0kpLpXYdAu9rmPm1vjLZd2dInbruC763PyJzdO9o\nVAkAnkD4BYBIK90r0zJdVqp55nfFYtl//i3wPrWFnCdekWmVHo0KAcAzCL8AEGmlpVKrip7fasKv\nLS+X+9mHwW3nqWnc3AYAEUD4BYAIstZKpXv3u+GtTLYwT/aLT2TOuVT26//IpGXInfOetPR/Ur/+\nci4bQ/AFgAgh/AJAJJWXS64rVbQv2LJSafZbsnM/kTn+FNmpz6ny+W/myl/KnHwawRcAIojwCwCR\nVFYiSTItWsoaE3jIhXUlSXbhl4ExrdKl7kfLOf2cWFUJAJ5B+AWASCoJhF8lN5eSmgUeclEaWPHB\nvve2JMkZ/5LUslWsKgQATyH8AkAklVWG32SpWTPJVya7fUtgn3WlnxwjU3kzHAAg4gi/ABBJVWZ+\nk2W//07auEbm3MtkThgodTw8tvUBgMcQfgEgkvaf+U1MlJYtlDp2kTntbJmMNrGtDQA8yIl1AQAQ\n1/bsDrympErtD5MkOdffSfAFgBhh5hcAIsiuWSFltpNapcu57WGprEwmpXmsywIAzyL8AkCEWGtl\nVyySOaavjDGSSZAIvgAQU7Q9AECE2E/+Kv2wUWbA4FiXAgCoQPgFgHqw+TvlH3+77J7Cgz9bOF/u\n26/I/vl1mTMvkOl1XAwqBAAcCm0PAFAPdsFcKWe97LKFMgOG7Nu/a7vcl5+UJJnzRsr5+VWxKhEA\ncAjM/AJAfZiKPz5dN7jLFubJffLX+4YMuyDaVQEAakH4BYD6sBWht3SvbN5O2cJ8uW+/IhXkSe06\nynn5LzKpLWJbIwDgILQ9AEB9FO0JvBbky71ndHC3ufKXMsedJJPULEaFAQBqQvgFgPqouNHNzp2z\nb1/fEwNPbjMmRkUBAGpD+AWA+thdscpD/i6pRy85I66QevQk+AJAI0f4BYA6cud/JvvtvOC2c/7l\nMj37xbAiAECoCL8AUAe2rFT24/cCGynNZa69VaZXdmyLAgCEjPALAHXgPvuglLNeOuxwOb96SKb9\nYbEuCQBQByx1BgAhsquWSetXSZLMWRcTfAGgCWLmFwBqYXdtl/vUvdKuHVJmWzk33i11z4p1WQCA\neiD8AkA1bLlPchzZBfOkXTtkzjhP5pLRMklJsS4NAFBPhF8AqIZ98yXZL/8V2OhzgpwrboptQQCA\nBiP8AsAhWGuDwdf87OcyQ86KcUUAgHAg/ALAAay1cl+eKEly7hgvc+xxMa4IABAuhF8A2I8tzJP9\n7O/SovlSj17SUb1iXRIAIIwIvwAgyX77X9n1qwKtDoX5MmdeIOfS62NdFgAgzAi/ACDJfWVS8L3z\nyAsyXY6MXTEAgIjhIRcAPM9uWhd8b0beQPAFgDjGzC8AT7Ob1sl9/A5JknP3kzJZvWNcEQAgkgi/\nADzLFhcF2h3adpD5+ZXSUcfGuiQAQITR9gDAM9z5n8mWFEuS7A+b5D59n7Rnt5y7Hpdz0ukyxsS4\nQgBApDHzC8AT7M7tstOelwafJdu1u+w7U6U2HeTc/ohMu46xLg8AECWEXwDesPUHSZJd/JX030+l\nvv3lXD1WplVajAsDAEQT4ReAJ9ituYE3BXlSx85yxtwp0yw5tkUBAKKOnl8Acc+6ruxXnwc2EhPl\n3HQPwRcAPIqZXwBxze7cLvf130prV8qcfIbM6Nu5sQ0APIzwCyBu2S05cidPkLb+IHPqmTJXjyX4\nAoDHEX4BxCXr+uU+cZdUWiLz86tkzrpYxqHTCwC8jvALIO5Y1y87Y3Ig+J53ucw5l8g4CbEuCwDQ\nCBB+AcQN67pS3g65M6dI/7+9O4+rqs7/OP7+HsAFFYSUEg1REbNfKJVtymjZqpVT46SWLS5Zallm\n09hqaWO7NZnTVCpqtmlOmlppZqtoWZamaQnuSm4hoCAKnO/vD8Y7kVouwLnL6/l49Ojec8+F9/WT\ntzdfzj3n+69lLrlKpsu1HOoAAPCh/AIIGvbtdNmPZkqSzI23y/nTJR4nAgD4Gw6AAxAU7L4i2S/m\nSZLM5d0ovgCAQ2LlF0DAs1mr5P5rpFRSLOfep6SmLbyOBADwU5RfAAHN7vpFbvpzUv2T5Nz6d5kT\n4ryOBADwY5RfAAHJbs/W7rdekfv5h1KNmnIGP0LxBQD8IcovgIDkvvKMijZkScbIeWSsTFSM15EA\nAAGA8gsgoLgzXpNqRkobshTxf6kq7dKT4gsAOGKUXwABw+76Rfa9qWV3kk5V9COjtSs319tQAICA\nQvkFEDDsyu/KbrRIkdPvb1yuGABw1Ci/APyaLSqUsjfJfjZHdslCqWVrhQ151OtYAIAARfkF4Nfc\n8UihurwAACAASURBVP+Uln4pSTLndJC5foDHiQAAgYzyC8Bv2ZISX/F1Hv23zEkNPU4EAAh0lF8A\nfslu2Sj3PxMlSc4Doyi+AIAKQfkF4Ffsjq2y82fJfvelFBYm03OA1DjJ61gAgCBB+QXgV+wXc2Xn\nz5Ji68kZeJ9MoyZeRwIABJGjLr+rVq3SzJkztXbtWuXm5uqee+5RmzZtyu0zZcoUffzxxyooKFCL\nFi3Ur18/nXTSSb7H9+zZo/T0dC1ZskSO4+icc85Rr169VKNGDd8+GzZsUHp6urKyshQdHa3LLrtM\nXbp0OY6XCsCfWdeVSktlv8mQObuDnH53ex0JABCEjvokmfv27VNiYqL69u17yMdnzJihOXPmqF+/\nfnrsscdUvXp1jRw5UiUlJb59Ro8erS1btmjYsGG69957tWrVKr3yyiu+x/fu3auRI0eqfv36evLJ\nJ3X99dfr7bff1vz584/hJQLwd3brFrmP/U3uwK7Sjq0ybdp5HQkAEKSOuvympqaqe/fuOvvssw/5\n+AcffKCuXbuqTZs2SkhI0O23366cnBwtXrxYkrR582YtW7ZM/fv3V7NmzdSiRQv17t1bCxcuVO5/\nr9T0xRdfqLS0VAMGDFCjRo3Utm1bderUSbNnzz6OlwrAH9mtW+Q+NEDakCVJcu55TOb0cz1OBQAI\nVhV6eaTt27crNzdXKSkpvm2RkZFq3ry5Vq9eLUnKzMxUrVq11KTJ/47ja9WqlYwxyszMlCStXr1a\nLVu2VFhYmG+f1q1bKzs7W4WFhRUZGYCHrLWyn7znu++8+B+Z5NM8TAQACHYV+oG3Ayu30dHR5bZH\nR0f7HsvNzT3occdxVLt2bd8+eXl5iouLO+hrHHh+ZGRkRcYG4AFbUiz76hjZRZ9IZ7aV85ebZCIi\nvI4FAAhyVXK2B2utHOf3F5mttTLGVEUcAB6zP34vd+p4KXuTzA23ybTtKBNO8QUAVL4KLb9169aV\nVLZye+C2JOXn5ysxMdG3T15eXrnnua6rgoIC33Oio6MP2ufA/V9/3V9bsGCBMjIyym078cQT1atX\nL0VFRclae+wvDAEjIiJCsbGxXsfA7yjJ3qhdox6UJNW+9R7VvOTPx/y1mHdoYd6hhXmHjgOLnxMn\nTtS2bdvKPdauXTulpaVV6Per0PIbFxenunXravny5WrcuLEkqbCwUJmZmbr00kslScnJySooKNC6\ndet8x/0uX75c1lolJSX59pkyZYpc1/WtGC9btkzx8fGHPeQhLS3tsH84+fn5Ki4ursiXCj8VGxur\nnJwcr2PgMOzWzXL/cbdUJ1pO3yEqPDVVe49jXsw7tDDv0MK8Q0dERITq16+vXr16Vcn3O+oPvBUV\nFWn9+vVav369JGnbtm1av369du7cKUnq3Lmz3nnnHX3zzTfauHGjxowZoxNOOEFnnXWWJKlhw4ZK\nTU3Vyy+/rKysLP34449KT09Xu3btfKu6aWlpCg8P14svvqjNmzdr4cKF+uCDD3TllVdW0MsGUNXs\njq1ynx0mRcfIGT5G5v9O51AnAECVM/YojwdYuXKlhg8fftD2Dh06aODAgZKkqVOnav78+SooKFDL\nli3Vt2/fche5KCgo0Pjx48td5KJ3796qXr26b5+NGzdq/PjxWrNmjerUqaNOnTod80UuduzYwcpv\niGClwD/Z3Xlynx8u5ebIue9pmRPqV8jXZd6hhXmHFuYdOg6s/FaVoy6/gYjyGzp4s/Q/7qy3ZGe+\nIUkyPfrJubDifoPDvEML8w4tzDt0VHX5rdDz/AKAJNl1mSrt10V2+Te+4usMfaJCiy8AAMeiSk51\nBiC02JXfSZLc0SOkE+LkjPiXTLXqf/AsAAAqH+UXQMXbtqXs34nN5Qy4j+ILAPAblF8AFcqu+VH2\npxUy7S+Vc8NtXscBAKAcyi+ACuMunC874XkpOlbm/M5exwEA4CCUXwDHzVor+5+Jsh++K3NeR5mb\nBsmEhXkdCwCAg1B+ARwXu3Gt3EcHS5LMWX+SueE2ii8AwG9RfgEcE+u6sksyZF95umzDKa1k+v2N\nq7YBAPwa5RfAMXHH/ENa/o1UrbqcR16Q6p1I8QUA+D3KL4CjZvfvKyu+kkzna2Tqn/QHzwAAwD9Q\nfgEcMWut7IJ5sl99JkkyV14rc1EXj1MBAHDkKL8AjogtLpadPUX2/alSo0SZHrfIufAKr2MBAHBU\nKL8Ajoj9YFpZ8W19tsJuf9DrOAAAHBPH6wAA/J87e4rsrDel086Q0+8er+MAAHDMWPkFcEh2d57c\nf9wlc2Y72Xnvlp3V4dpbZapX9zoaAADHjPIL4JDsj99LOTvLiq8k5x8vycSc4HEqAACOD+UXwKGt\nz/TddJ5/UyaylodhAACoGJRfAOXYkmLp+29kv/pcapEi5889Kb4AgKBB+QXg477ytOzXX5TdadpC\nTt8hHOoAAAgqlF8AkiSbtdJXfM01feRccpXHiQAAqHic6gyAbPZGuU/eK0kyF3WR6dDJ40QAAFQO\nVn6BEGbzdkm7c2UXfSJJMj37yzm/s7ehAACoRJRfIIS5rzwlrf5BkmQ6XyOKLwAg2FF+gRBl83b9\nr/j2uEXmAoovACD4UX6BEGNLS2XfGiv76ftSWLicYf+UiU/wOhYAAFWCD7wBoWbV0rLiK8m57ymK\nLwAgpLDyC4QQm7lS7vPDpdh6cu7+h0xcvNeRAACoUpRfIATYgj1yJ46WVn4nhYXJGXAfxRcAEJIo\nv0CQs5vXyf64XFr6pVS9hsyNt8skNvc6FgAAnqD8AkHM7s6TO/zOsjspbRR2xzBvAwEA4DE+8AYE\nKWut7Cfv+e47V/X0MA0AAP6BlV8gCNnt2XLT/ymt+VE6qZGcu0bIxNbzOhYAAJ6j/AJBxq5bLfel\nJ6ScnVJSSzm97qT4AgDwX5RfIIjYnB1yH/ubJMlcdb1Mp64yTpjHqQAA8B8c8wsECZufK3doX0mS\nuaKHzCVXU3wBAPgNVn6BAGeXfS33o3elGpGSJGfAvTJntPU4FQAA/onyCwQ4d9ab0oYsSZK5+W6K\nLwAAv4PyCwQwW1oq5eyQ6p4g55Z7ZJqf6nUkAAD8GuUXCFD2uy/lvvGSVLBbzr1PyTRJ9joSAAB+\nj/ILBBi7f5/s6y/JLpwvnZoq59a/U3wBADhClF8gwNglC8uKb81IOQPvl6lew+tIAAAEDE51BgQQ\n+9MK2fTnpIRmch57heILAMBRYuUXCADupBdkt/8srV4hxTWQ06OfTO0or2MBABBwKL+An7O/bJdd\nMK/szqmny7l5iEydaG9DAQAQoCi/gB+zRYVyX39JkmTSLpbp0Y9DHQAAOA6UX8BP2f375D47TMre\nJHNNbzmXXO11JAAAAh7lF/AztrhYKt4vO3WctGmdnKFPyCQ29zoWAABBgfIL+BFrrdy7b5T2FkiS\nzMV/FsUXAICKw6nOAH+y9qf/Fd+z28v8+XqPAwEAEFxY+QX8gLVW2rlN7ruvS7WjZC7rKnPhFTLh\nEV5HAwAgqFB+AT9g570r+3a6JMkZ8qhMy9YeJwIAIDhx2APgMZuzQ/bD6ZIk89feFF8AACoRK7+A\nR+ySDNllX8su+liqVUfOE+NlTqjvdSwAAIIa5RfwgP15k9yXnpQkmQuvlLnkapnYeh6nAgAg+FF+\nAQ/YpV+V3agTLdP1JpmIat4GAgAgRHDML1CFrFsq95P3Zd95VTr9XDnPTKL4AgBQhVj5BaqIO+F5\n2YXzy+6c2VZO78EyDj9/AgBQlSi/QBWw+4p8xddcfUPZeXwpvgAAVDnKL1DJ7M5tsksyJEnO3x6T\naXGax4kAAAhdlF+gEtnvv5b7wqOSyi5XrOT/8zgRAAChjfILVBK76xe5U8ZJ1arLGfqkTEJTryMB\nABDyOOgQqAQ2N0fuy09KO7fJue1+ii8AAH6ClV+gAtmC3dLeQrmP/U3anSdz3a0yp57udSwAAPBf\nlF+ggtg1P8p94u+S40iRtWVuuE2m7YVexwIAAL9C+QUqiF21tOyG68q5YaDMGW29DQQAAA5C+QUq\ngF2SIfvuG1KTZDm975RpcLLXkQAAwCFQfoHj5M6eIvvu62VndbjqeoovAAB+jPILHCNbXCx33Cjp\n24XSaWfK6XOXTJ0or2MBAIDfQfkFjoItKpRcVwoLlzvhn9K3C2XaXyZz7S0y4fx1AgDA3/F/a+Ao\nuI/dI/28SWrURNrxs5wB98mccZ7XsQAAwBGi/AJHyFpbVnwlafM6OQ+PlmmU6GkmAABwdLjCG3CE\n7Luv+247A+6j+AIAEIBY+QWOgPv1Atn3pkqSnGdf44NtAAAEKMov8Dvs6hVyn3lAslZKainnnsdk\nnDCvYwEAgGNE+QUOw+7Ok/vqvyRrZS64vOyMDsZ4HQsAABwHyi9wCHbpV3InPC8V7pHpfrOci7p4\nHQkAAFQAyi/wK7Z4v+yE52W//kJKaSPn8m5SYnOvYwEAgApC+QV+xS5dXFZ8JTl9BsvU5oNtAAAE\nE8ovIMmu+VF2wTzZFd9KJzeRc/tDFF8AAIIQ5ReQ5E6bIO3YKpN0qsxVPWVi63kdCQAAVALKL0Ka\nzVwpd8I/y4pv3yFyzj3f60gAAKASUX4RsuyGLLlP3StJMmkXy5zZzuNEAACgslF+EXLst4tkVy2V\n/XmzJMm5Y5hMShuPUwEAgKpA+UXIcSeNlgoLpGrV5Qx5VKZla68jAQCAKkL5RUix6zKlvYVS4yQ5\nPQfINOEcvgAAhBLKL4KezdslO/1VKSpG9qOZUmJzOUNGyNSI9DoaAACoYpRfBD2b8ZFsxnxJkrmg\ns8w1fWQiqnmcCgAAeIHyi6Bmv10kO32yJMlcea2cLtd6nAgAAHiJ8ougZfN2yZ08RhJndAAAAGUo\nvwg6tqRE7guPSiu/k6Jj5IyaJBMV43UsAADgBxyvAwAVzX71WVnxleQMeojiCwAAfFj5RdCwWau0\na/qrslmrpDPaKmzAvV5HAgAAfobyi6Bgv/tS7ouPyZVk2qTJ9BnsdSQAAOCHKrz8vv3225o2bVq5\nbfHx8XruueckScXFxZo0aZIWLVqk4uJitW7dWjfffLOio6N9++/cuVNjx47VypUrVaNGDXXo0EHX\nXXedHIejNHAwu+ZHuS8+Jkmq1fsOFbW9yONEAADAX1XKyu/JJ5+sYcOGyVorSQoLC/M9NnHiRC1d\nulR33323atasqfHjx2vUqFEaMWKEJMl1XT3++OOKjY3VyJEjlZOTozFjxig8PFw9evSojLgIUNZa\nac0quU+WHd5grrpeNS/7i4ry8z1OBgAA/FWlLKWGhYUpKipK0dHRio6OVu3atSVJhYWF+uSTT3TT\nTTfp1FNPVZMmTTRw4ED99NNPysrKkiQtW7ZM2dnZGjRokBISEpSamqru3btr7ty5Ki0trYy4CEBu\nxny5t/xZ7rhnpbgGcm79u0zna2TCOZIHAAAcXqWU359//lm33nqrBg0apNGjR2vnzp2SpLVr16q0\ntFSnnXaab9/4+HjVq1dPq1evliRlZmYqISFBUVFRvn1at26twsJCbdq0qTLiIgDZT98vu1G4R85d\nI8qO8zXG21AAAMDvVfgyWfPmzTVw4EDFx8crNzdXb7/9th5++GGNGjVKubm5Cg8PV2RkZLnnREdH\nKzc3V5KUm5tb7vhfSapbt67vMYQ2m5sjd/yz0vpMqf5Jcm64TabeiV7HAgAAAaLCy29qaqrvdkJC\ngpKSkjRw4EAtWrRIERERh3zOgWOD/wgre6HNWis7bYK0YY1Mh8tkOl0jc0J9r2MBAIAAUukHSEZG\nRqpBgwbaunWrUlJSVFJSosLCwnKrv/n5+b7V3bp162rNmjXlvsaBFd/frgj/2oIFC5SRkVFu24kn\nnqhevXopKirqiAs2/JObt0t5Tz6gkp+Wq85t96tGx86H3C8iIkKxsbFVnA5eYd6hhXmHFuYdOg4s\nbk6cOFHbtm0r91i7du2UlpZWod+v0stvUVGRtm3bppiYGDVt2lRhYWFasWKFzj77bElSdna2du7c\nqeTkZElScnKypk+frvz8fN9xv99//70iIyPVqFGjw36ftLS0w/7h5Ofnq7i4uIJfGaqKXfuT3Bcf\nl0qL5Qx6SIWtzlJhTs4h942NjVXOYR5D8GHeoYV5hxbmHToiIiJUv3599erVq0q+X4WX38mTJ+vM\nM89U/fr1lZOTo6lTpyosLEzt2rVTZGSkOnbsqEmTJqlWrVqqWbOmJkyYoBYtWigpKUmS1KpVKzVq\n1EhjxoxRz549tWvXLk2ZMkWXXnqpwvkkf0hxJ46WLSqUli+RYurJueUhmYRmXscCAAABrMLb5C+/\n/KLRo0dr9+7dioqK0imnnKKRI0eqTp06kqSbbrpJjuPo2WefVXFxsVJTU9W3b1/f8x3H0dChQzVu\n3Dg9+OCDvotcdOvWraKjwo/ZokLZjI/K7tQ7Uc4dD8nExXsbCgAABDxjQ+Bg2B07dnDYQ4BxF38u\nO/YZSZLzyBiZhglH9Dx+TRZamHdoYd6hhXmHjgOHPVQVjiOAX7Gb1smd+aa09EspOkbOk+kyv7pC\nIAAAwPGg/MJv2G3Zcp8bJhXtlbnwSpnLulJ8AQBAhaL8wi/YwgK5Lz8p1awlZ/i/ZOpE/fGTAAAA\njhLlF56xbqm0aZ20O0/uK09LewvlDHqI4gsAACoN5ReesQs+kp38r7I7p50pp+uNMo2aeBsKAAAE\nNcovvJO50nfTue1+mfBDX/4aAACgolB+UeXs1s1y//mI9Mt2mbSLZf5yI8UXAABUCcovqpTNXCl3\n2oSy4tupa9kZHSJrex0LAACECMovqoTdv0/23TdkP5wu6b+HOaSe63EqAAAQahyvAyA02E8/8BVf\n07O/1PocjxMBAIBQxMovKpX9ZYeUs0N23rtSfIKcPoNlGid5HQsAAIQoyi8qjXVduSOHSLvzpLgG\ncu4YJnNCnNexAABACKP8olLY/fvkjh5RVnxTz5VzwwCZqBivYwEAgBBH+UWFstZK27aUFd9dO2W6\n95W5sIuMMV5HAwAAoPyiYtkPZ8hOmyBJcoY+IZN0qseJAAAA/oezPaDC2OyNstNflSSZngMovgAA\nwO+w8ovjZjeskYr2yn3hUalmLTlDHpU5uYnXsQAAAA5C+cVxsauWyX32obI7p7SSc/uDMtVreBsK\nAADgMCi/OC726y8kSea8jjLXD5CpVt3jRAAAAIdH+cUxcT+eLTt/lrT9Z5k/95RzRXevIwEAAPwh\nyi+Omt2QJfvmK5Ikc9X1Mp2v8TgRAADAkaH84ohZa6VvF8p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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_times('factors', args)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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6pl/ucOAHvPv/vy/KTpgkc+J/yxgjc+rZPf/nsRshcwsAAPKS3ZXsayzW/RhftKP7MYHt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_times('factors_fast', args)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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8ioiISK+ybcP2jQ0cKmtnVnRcDBOnxDqute18zKrfwdHDEB2N5Y4Hd3xYj/9/\nZbU8W3IMXz8Yc2hL4VdERER6TTBo2LTWy7EjoXXFEybHcsl459UVd8R46sFzGlP4DuYvf4Ax43B1\n0OrWU5rHHI7zf2W1Ic/FRbr4Vl46c0f1rTGHthR+RUREpFf4mwzrC+s5eaLNkg4WXDE/lSFpgfY/\n0YGMz4d9/x3Q4AXAWnAt1g1fwXInhO0czjfmcF9BJhmJfW/MoS2FXxEREQk7X6NN8WoPdTXt1xVf\nOiGR6urqXjq7vsX4GjEv/QIavFjzFjUvYzZ+cljPoT+PObSl8CsiIiJh5alvriv21repK46CmQUJ\npA5TPPk0887vMSWrAbBuuTOsy5j5zow5vNvOmEPsmTGHeX18zKGtTn13vfHGG5SUlFBRUUF0dDQ5\nOTnccsstZGRktGzz0EMP8dFHH7X6vIULF3LHHXe0fFxVVcXzzz9PaWkpsbGxzJ8/n5tvvhnXpy7m\nzp07eemllygvLyc1NZUbbriBBQsWdPFlioiISF9QVxOkeHU9vsbWdxBjYpvripMGK/h+mtn4IeaP\nvwbOlFeEMfgeqvXx5AdHONTPxxza6tR32K5du7j22msZM2YMtm3z6quv8thjj/HUU08RHd384i3L\n4uqrr+amm25qXnwZiImJadmHbds8/vjjpKSk8Nhjj1FdXc2yZcuIjIzkpptuAqCyspKf/OQnLFq0\niLvvvptt27bx3HPPkZKSwuTJ4b3NLyIiIt3j5IkAJR/UE2jz3jZ3vIv8BfHEJ6iu+NPs997EvL4C\nJubi+vo/hHW+91xjDtdcmszt/WjMoa1Ohd/777+/1cdLly7l61//OmVlZYwfP77l8ZiYGBIT278F\nvnXrVioqKvjxj39MYmIi2dnZLF68mFdffZUvfelLRERE8Pbbb5OWlsatt94KQEZGBrt27eLNN99U\n+BUREemHjh3xs3GtJ6SuODHZRd481RUDmEYvVFXC4CHYy38OOzZCbj6u274dtuDrC9j8x4bj/GX/\nwBlzaOuifrfg9Ta/4zAhofUFKSwsZM2aNSQnJzN9+nRuvPHGljvDe/fuJTs7u1U4njJlCsuXL+fw\n4cOMGjWKvXv3MmnSpFb7zM3NZeXKlRdzuiIiItILDh/wsXV9Q0hdccrQCGYVxBOlumIAzKvPYda+\nB1mjofoE1pe+ivWZ8I06HD6zmkNHYw73FmSS2Q/HHNrqcvg1xvDiiy8yfvx4srKyWh4vKChg6NCh\nDB48mIM0zjFbAAAgAElEQVQHD/KrX/2Ko0ePcs899wBQU1NDUlJSq30lJye3PNfRNklJSXi9Xvx+\nP1FRUV09bREREQmj/bsaKd0aWleclhHJ9NnxRKiuuIU5uL/5DzVVuO59DCtrdNiO/V5ZLc90MOaw\naGzzmENM5MD4R0qXw+/y5cspLy/n0UcfbfX41Vdf3fLnESNGkJyczKOPPkplZSXDhg075z7PtYj1\n2flhLXQtIiLS9xlj+GhbI/t3hdYVjxgdzeQZcaorPsNs34jx1kNlBdb0Oc3r96ZlnP8Tu4ETxhza\n6lL4XbFiBZs3b+aRRx5h8ODB59z20ksvBeDYsWMMGzaM5ORk9u/f32qbs3d8z94BTk5Opra29UWo\nq6vD7XYTGdn+KRcWFlJUVNTqsbS0NJYsWUJiYmJLeJaBLSoqipSUlN4+DQkTXW9n0fXuP2zb8OH7\nJ9i/OzT4Xp6bxLT8lPPezHLK9Q6eqqL63x8GIHL0pSR96x9xJZ07W3WXg9VeHvzLHspOekOeu2SI\nm0euHUf24LgeP4+z3wsvvvgix48fb/XcnDlzKCgo6NbjdTr8rlixgg0bNvDQQw+Rmpp63u0PHDgA\nfBJsc3JyeOONN6irq2uZ+922bRtut5vMzMyWbbZs2dJqP1u3biUnJ6fD4xQUFHT4xamrq8PvD61N\nlIEnJSVFi6I7iK63s+h69w/BgGHjWg/HK0Lb2SZOiWX0OItTp06ddz9OuN6m9hT2j5aCZeH6fz/H\nHjGamqCBMLzu9w80jzk0Bs4x5mAaqK5u6PFziYqKYujQoSxZsqTHjwXQqeGN5cuXU1hYyHe+8x1i\nYmKoqamhpqaGpqbmwejjx4/z3//935SVlXHixAk2bNjAL37xCyZOnEh2djYAkydPJisri2XLlnHw\n4EG2bNnC66+/zqJFi1ru6i5cuJBjx47xyiuvUFFRwapVqyguLua6667r5pcvIiIi3cXfZFO8pj4k\n+FoW5M5yc8n42F46s77HNPkw7/8JGjxYX/4G1shLwvLGNl/A5uniozz14dGQ4Bsb6eL7VwxnaV76\ngJnvbY9lOjEPsHjx4nYfX7p0KfPnz+fkyZM8/fTTHD58GJ/Px5AhQ8jLy+OLX/wisbGffMNXVVWx\nfPlydu7c2WHJRWlpKStXrqS8vJwhQ4Zw4403Mm/evC69yBMnTujOr0M44U6BfELX21l0vfu2xgab\ndavrqatt3drmioDps+NJz+zcm9UH6vW2f/UMpGdhfvsiBPxYn7ke1+I7zvt53aG81scTH1RwsDZ0\nHGVUcgz3zs0gKzGmnc/sWWfv/IZLp8Jvf6Xw6xwD9S9LaZ+ut7Poevddnvogxe978HpC64pnzU1g\nyNDOv8Wot663ObAXRo7BcnV/4YY5WYn9j58EXeuzX2h+c1tkz69idUFjDr10tzfc4VcdgiIiItJl\ntacCrFvjabeuOH9+AonJ/ae1zVRXYf/zPc2B9HNf6r797i3F/s0KrFFjmx+YMAXX334tLEuZ+QI2\nz284zjvtruZgceesdBaMTmrnMwcuhV8RERHpkqrKAOsLQ+uK4xNc5M+Px93f6oobz6x6UFnRbbs0\nu7dj//sj0OTDfLwXa94iXF/5Vrft/1zKa308UVjBwZrQMYeRyTHc10tjDr1N4VdEREQ67Wh5E5vW\nerFbTzqQmBxB/vx4YmIH7humLpT97h8xv36++YMx47CuvA5r2uywHPtcYw6fHZvEHdPTBvSb2s5F\n4VdEREQ65VCZj60bGqBNrhoyLJKZc+KJiu6n5RXBYLftyvibPgm+gOuvFmNNmtFt+++IL2CzfONx\n3t6nMYeOKPyKiIjIBTHGsH+Xj4+2hdYVp2dGMW22m4iIfhp8AZpCxwO6rGxP83+Hj8D1wyexYt3d\nt+8OlNedWc2hvTGHpDNjDknOG3NoS+FXREREzssYQ+mWRsr2hAar7DHRTJ4eh9Xf64rPDi93cR0s\nYwzmvTcxGwrB64FBSbgeejos6/euPlDLLzsYc1h4SRJfn+HcMYe2FH5FRETknGzbsLXES/nB0GVD\nx06IYfyk2PPWFfcL/qaL+nTzzu8x//WfLR+77vtJjwdfjTl0nsKviIiIdCgQMGz80EPl0dC64sty\nYxkzbgC1tjV1Pvwanw/7Z/8PEhJh+wasz1yPteBz4HJhDU3vgZP8RHmdjyc/qOBjjTl0isKviIiI\ntKupyaZkjYdTJ1u/EexsXXHWqOheOrOeYbpy53fPDjhwZr532mysz9+CFRvXvSfWjjUf1/GLdcdo\nDNghz33mkiT+XmMOHVL4FRERkRANXpt1a+o53U5d8Ywr4knL6PlWsrBrmfm9sKFfc2AP9r8/DIA1\n+yqs2+7CiujZtY19AZsVGytZta8m5LmYiOYxhyvHaMzhXBR+RUREpJX600GK36+nwds6BEZFWcya\nF09K6gCND2fHHs6z5Jn92/+EIWmYde8DYN12F66ChT18cnCkroknPjjS4ZjDvXMzGKExh/MaoN+9\nIiIi0hU11c11xU2+1sE3Ns4ib17/qivutDNjD8bf8ZJnJuDHrHqj5WPX9x7Bmpjb46emMYfuo/Ar\nIiIiAFQd97O+0EOgzXvb4ge5yJ+fgDt+gIerszO//tBVLVrs3/3Jn3Pzezz4nm/M4Zuz0rlKYw6d\novArIiIiVBxuYnNxaF1x0uAI8uY5pK64Jfy2fuOb8fvh+BHsV5+FvaUwNB3X3Q/BsOE9ejpH6pp4\nsvAIB061s7ZyUjT3zc3UmEMXKPyKiIg43MH9PrZtaAh5PDWtua44MmoArOF7Ic7e8W0bfn/9H5g1\nqwCwZl+J9dkvYKVl9OipaMyh5yj8ioiIOJQxhr0f+di9PbSueHhWFFPz+3ldcWednfX91Hq/prEB\n88E7zR9Mm43ra9/r0VNoCjaPOfx5r8YceorCr4iIiAMZY9i5uYEDe0PXth15STSTpg2AuuLOOnvn\nN3DmjW8bCrGf/ylgsO64B2vKrB49fEVdE090MOYw4syYQ7bGHC6awq+IiIjD2EHDlhIvRw6FvrEr\n57IYci4bIHXFnXV23KGpCbN7B/avn4cx43Hd9m2s9KwePfQHH9exrIMxh6vHJPH3M9OI1ZhDt1D4\nFRERcZBAwLChyMOJY6F1xZdPjWN0jnPvLLY0vFWfwP7pDwFw3f8k1pBhPXZMjTmEn8KviIiIQzT5\nbEo+aL+ueGqem8yRA6uuuNOqqyAxGeqag6jr7h/3aPDVmEPvUPgVERFxgAavTfHqeurrWv9aPSIC\nZsyJZ9jwAVhX3An2mj/Dx3uxvno3VuYoSEnFGtRzd1w/OLOaQ0M7Yw5XjUniGxpz6DEKvyIiIgPc\n6bogxavraWxbVxxtkTcvnsFDnBcHjK8RjI0V68YcLce8/EsArEkzejT0NgVtXthYyZ/aGXOIjrD4\n5sw0rr4kuceOLwq/IiIiA1rNyQDFazz4m0LrivMXJDAocQDXFZ+D/U/fh8oKXD9/GfvlZZCcguvh\nZVjuhB475tHTTfzLB+cYcyjIJDtZYw49TeFXRERkgDpxzM/6Ig/BNu9tSxjkIs8JdcXncqwcAPuf\n/wFO1+H6zo96NPgWHqxjWXFHYw6JfGNmusYcwkThV0REZACqONTEpnVeTJuslZwSwax58cTEODdo\nmeCn3vDX4MX1o6ewhqb3yLE05tD3KPyKiIgMMB/v9bF9k+qK22N8Pjh+pPmD4SNwLflOjwXfo6eb\neOKDI5S1M+aQlRjND+ZqzKE3KPyKiIgMEMYY9uz0sWdnaF1xxogopua5cTmprrgNU3EI+5HvQjAA\nsXG47nscKyGxR45VdLCOpzsYc7hydCLfnKUxh96i8CsiIjIAGGPYsamBj/eF1hWPGhvN5VMdWFf8\nKebYEewVT0EwgLX4dqzc/B4Jvk1Bm//cVMlbezTm0Fcp/IqIiPRzdtCweZ2XisOhdcXjLo/l0okx\nzqwrPsP+zQrMO/8DSSm4vnEf1oyCHjnO0dNNPFl4hP3V7Y853Dc3k5Eac+h1Cr8iIiL9WMBvWF/k\noep4aF3xpOlxjBrr3LBlDpVhtm/AvPM/WLPmYd3yzR5b0aHoYB3L1h3D6w8dc1gwOpFvzkwnLkpj\nDn2Bwq+IiEg/5fPZlKzxUFPdpq7YBdPy3GRkO7eu2Bwqw370uwBYM+diLbkbK6r7W+z8QZsXzjHm\n8I2ZaVw9JsnRd977GoVfERGRfsjraa4r9pxuU1ccCTPnxDM03Zl1xcYYzP++jlm3uvmBCVOwbv8+\nVkT3l3lozKF/UvgVERHpZ07Xnqkrbmjd2hYdY5E3N55kB9YVn2U+WIX5w6sQE4d1/c24/vqmHjlO\n0aHm0op2xxxGNa/moDGHvsm5Px0iIiL90KmqAOs+CK0rjnNb5M13bl0x0Dzf+5sXsOZ+FtfffbtH\njuE/s5rDmxpz6LcUfkVERPqJyqN+NhR5CLYe8SUh0UX+/ATi3M6802gO7sd+4h+hyQfjJmF96Ws9\ncpzmMYcK9leHrqOclRjNvQUZjBoc2yPHlu6j8CsiItIPHDnYxOZ1XkzrG74MHhLBrLnxRDuwrthU\nHYejh7H/8Fpz8E1MxnXn/Vhx7m4/1oeHmksrNObQ/yn8ioiI9HEH9vjYsTm0rnhoeiQz5sQTGenM\nX7HbK5+GXdsAcN15P0yeiRXZvdHGH7R5cfMJ/nf3qZDnoiMs/n5GGp+5RGMO/YnCr4iISB9ljGH3\njkb2loauJpCZHUVunhuXw1rbjDGYd/8Arojm4Ds0HWvKrB4JvsfOjDnsa2fMITMxmvs05tAvKfyK\niIj0QcY2bN/UwMH9oXXFoy+N5rKpcY6722gCfsxbv8X88bXmBxIG4fr+o1ipad1+rLWHTvN08VE8\n7Yw5zB+VyJ0ac+i3FH5FRET6mGDQsLnYy9Hy0Lri8ZNiGTvBmXXFZkNRS/C1Zs7F+up3u724QmMO\nA5/Cr4iISB8S8BvWF3qoqmxTV2zB5OlxjLzEmaUJxg5iiv4CgPW3t+Na+PluP8bx+uYxh70nQ8cc\nMgZF84O5GnMYCBR+RURE+ghfo826NR5qT7Vey8zlgqn5bjJGOLOu2Bwqw359OezZgfWZz/dI8F17\n+DRPr21/zGHeqETunJWGO8q5aygPJAq/IiIifYDXE6R4tafduuJZBfGkpjmzrtj+028xv3sJ4gdh\n3fhVrHmLunX//qBh5eZK/tjBmMPXZ6SxUGMOA4rCr4iISC+rqwmybk0HdcXz4klOcdb/rs2pkzTu\n3IAxLszvXsL63Jewrr8ZK6J777xqzMGZnPXTJCIi0sdUVwUoWePB729TVxzvIn9+PAmDnPWrdrNj\nI/Yv/pnTgTNv9ps4Fevzt2C5undlheLDp/n34qN4mtoZcxiZyJ15GnMYqBR+RUREesnxCj8bPvRg\nt6krHpTUXFccG+e8pbTsf3u4+Q/RMVhzP4v111/u1uDrDxpWbqnkj7tCxxyiXM1jDp8dqzGHgUzh\nV0REpBeUf9zElpJ26opTz9QVRzsv+JrTdc1/SBhEys9fotYK55hDFPfNzWS0xhwGPIVfERGRMCvb\n3cjOLaEBbNjwSKZf4ay6YnPkEKZkNdb4yc0rOlguXA/8KxFDhkJ1dbcd51xjDnNHDmJpXrrGHBxC\n4VdERCRMjDHs2t7Ivo9C64qzRkUxZabz6ortN16CrSWYt/4LLhmP63sPYw0Z2m379wcNL22p5A8a\nc5AzFH5FRETCwLYN2zc2cKgstK54TE4ME3NjHRfAjLce9u5s/mDKLFxLvoOVkNht+z/fmMO9BZmM\nSdGYg9Mo/IqIiPSwYNCwaa2XY0dC64onTI7lkvHOqys2/ibsJ+4HrwfX9x/FmjClW/e/7vBp/q2D\nMYeCkYP4lsYcHEvhV0REpAf5mwzrC+s5eaLNkg4WTJkRR/aY/ldXbIJB7G/egHX793DlX9m1ffz2\nRThegeuHP8UandNt53a+MYc7Zgxj0dhkx/1jQz6h8CsiItJDfI02xas91NWE1hVPm+1meFY/rSv2\nNQBgCv8CnQi/5mg55o+vYerr4KOtWF/++24NvpX1fp4sPMKedsYchg+K4j6NOQgKvyIiIj3CU99c\nV+ytb/1r98gomFmQQOqwfvy/YF/oG/bOxV6zCmvEaOzfvwKlWyAiAuvav8G68rpuO6V15af5t7Ua\nc5Dz68c/eSIiIn1TXU2Q4tX1+BpbL+IbE9tcV5w0uJ//79cXeme1IyYQwLz8C85+JawvfRUr/0qs\nxORuORV/0PDylkr+p4Mxh9unD+OaSzXmIJ/o5z99IiIifcvJEwFKPqgn0Oa9be54F/kL4olPGAB3\nHzsRfjnyccsfrUVfxPXZG7rtNDTmIF2h8CsiItJNjh3xs3FtaF1xYpKLvIFUV3w2/Latp2vD7CvF\n/vPvALC++l2sWfO67RRKzow51Lcz5jAnexDfzteYg7RP4VdERKQbHD7gY+v6hpA8mDI0glkF8UQN\npLriprN3WtsPvyYYhC3F2C/8KzT5sL54G64rruqWQwdsw8tbTvD7j0Lb3yJdFndozEHOQ+FXRETk\nIu3f1Ujp1tBfvadlRDJ9djwRA62u+DxjD+bXz2PefwsmTMF15/1Yce5uOWxlvZ+fFh1hd1Xo8dMT\novjBXI05yPkp/IqIiHSRMYaPtjWyf1fo6gcjRkUzeWbcgKwrNu2MPZhAAPPqsxAbh1nzZ6wbvoLr\nc1/qtmNqzEG6i8KviIhIF9i2Ydv6Bg5/HFpXfMn4GCZMHsB1xWeXOgsEgOa2NvPHX2M+eBsAa+Zc\nrKuv75ZDacxBupvCr4iISCcFA4aNaz0crwiEPDdxSiyXjB/gv3o/U3JxdvzB/O9vMH/6LQCuZ/4b\nKzKqWw5zwtO8mkNHYw73zc3kEo05SCcp/IqIiHSCv8mmpNBDdZu6YsuCKTPjGDG6/9UVd9rZO79e\nD/b7f8Ks/hMA1oyCbgu+RQeq+ae3D3Q45vCtvHTiozXmIJ2n8CsiInKBGhts1q2up662dSBzRcD0\n2fGkZ3ZP8Ovzzq72UHMS86tnIGsUroeexkpOuehdn2/M4fbpw7hWYw5yERR+RURELoCnPkjx+x68\nntC64llzExgy1Bn/SzWnazFv/77lY+uvbsL1+Zu7Zd/NYw4V7K5qCHlOYw7SXZzxkyoiInIRak8F\nWLfG025dcf78BBKTB/6v342vESwL886ngu+Cz2Fd97fdsv/15fX829oKTrcz5nBF9iC+rTEH6SYK\nvyIiIudQVRlgfWE7dcUJLmbPj8c9EOqKL4D9wJ0QEQGNDVj5C7Bu+ApWytCL3m/ANryy5QRvdDDm\n8LVpw/hcjsYcpPso/IqIiHTgaHkTm9Z6sdvcjExMjiB/fjwxsQOote0cjK8Rak62fGxdf3O3BN9z\njTlkJMZwzxXDGTtEYw7SvRR+RURE2nGozMfWDQ0hDb5DhkUyc048UdHOuBNpjMFe/rPmD+LcWNd/\nGWto+kXvd8ORev71w/bHHGaPGMSD106gyVN30ccRaUvhV0RE5FOMMezf5eOjbe2sLZsZxbTZbiIi\nBn7wNUcPY//3SthaAoA1bxHWrUsvevwgYBt+tfUEvys995hDQkwk1Z6LOpRIuxR+RUREzjDGULql\nkbI9oXXF2WOimTR9YNYVt8f88defBN8ZBbi+8q2L3ucJj5+fFlawq50xh7SEKO4tyODSIXEXfRyR\nc1H4FRERobmueGuJl/KD/pDnxk6IYfykAVxX3Ia94inM+g+wrrga6+ZvYMVc/Nzt+cYcvp2fToJW\nc5AwUPgVERHHCwQMGz/0UHk0tK74stxYxowb+G+6Mo1ezG9fhNHjMMXvQXJK83zvRQbfc485wNem\npWk1BwkrhV8REXG0piabkjUeTp0MrSvOneUma1R0L51ZeJntmzCr/wyr/wyTZuC660cXHUhPePz8\nrKiCj05ozEH6DoVfERFxrMYGm+LV9Zxup654xhXxpGU4o67YlG7G/McTAFh//WWsRTdcdPDdcKSe\nf117lNO+YMhzs0ck8O384RpzkF6h8CsiIo5UfzpI8fv1NHhbr2UWFWUxa148KanO+F+k2VyM/fxP\nAbCu/Rtc13/5ovZ3vjGHr04bxnU5gzXmIL3GGT/ZIiIin1JT3VxX3ORrHXxj4yzy5jmkrtgY7F/+\nM2xZByNG4/r2jyA55aL2WeVtXs1BYw7Slyn8ioiIo1Qd97O+0EOgzXvb4hNc5C+Ixx3vgOB7cD/2\nK7+Ej/cC4LrzfqyU1Iva58Yj9TzVwZhD/ogE7tKYg/QRnQq/b7zxBiUlJVRUVBAdHU1OTg633HIL\nGRkZLdv4/X5WrlzJ2rVr8fv9TJkyhTvuuIOkpKSWbaqqqnj++ecpLS0lNjaW+fPnc/PNN+NyfVIT\nuXPnTl566SXKy8tJTU3lhhtuYMGCBRf/ikVExLEqDjexuTi0rjhpcAR585xRV2xsG/uZx8HrwZo1\nD+uOey5qBCF4ZszhvzsYc1gydRh/NU5jDtJ3dCr87tq1i2uvvZYxY8Zg2zavvvoqjz32GE899RTR\n0c3vhn3xxRfZsmUL99xzD3FxcaxYsYKf/exnPPLIIwDYts3jjz9OSkoKjz32GNXV1SxbtozIyEhu\nuukmACorK/nJT37CokWLuPvuu9m2bRvPPfccKSkpTJ48uZu/BCIi4gQH9/vYtiH01/Gpac11xZFR\nAz+cmdLNmDVvw8lKXD/4CdbYiRe1vyqvn58VVlDazpjDsPgo7purMQfpezr1T9z777+fefPmkZWV\nRXZ2NkuXLqWqqoqysjIAvF4v7733HrfddhsTJ05k9OjRLF26lN27d7Nv3z4Atm7dSkVFBXfddRfZ\n2dnk5uayePFiVq1aRTDY/KuSt99+m7S0NG699VYyMjK45ppryMvL48033+zmly8iIgOdMYY9pY3t\nBt/hWVHMmuuQ4LuhEPupH2M2FsGkGXDJhIva36aKer731sftBt/8EQk89blRCr7SJ13U73e8Xi8A\nCQkJAJSVlREMBrn88stbtsnIyCA1NZU9e/YAsHfvXrKzs0lMTGzZZsqUKXi9Xg4fPtyyzaRJk1od\nKzc3t2UfIiIiF8IYw87NDeze3hjy3MhLopk+201ExMAOvsbXSPDnP2pe0WHaFbge+QWupfd3eQwh\naBte3nKCh98rp67NfG+kC+6YPox/nJup+V7ps7r8hjdjDC+++CLjx48nKysLgJqaGiIjI3G73a22\nTUpKoqampmWbT8//AiQnJ7c819E2SUlJeL1e/H4/UVHOWHdRRES6zg4atpR4OXIotK4457IYci4b\n+HXFpqYa++lH4FAZ1qz5WF9ZihXb9buxJ8+s5tDRmMO9BRnkpOpur/RtXb7zu3z5csrLy7n77rvP\nu60x5rzbAOf8S+jsPgb6X1QiInLxAgFDSaGn3eB7+dQ4xl0eNyD+f2JKN2N8n9zVNraN/c7/YE7X\nNS9l9sov4VAZJCbj+vo9FxV8N1XU890OxhzyshJ46tpRCr7SL3Tpzu+KFSvYvHkzjzzyCCkpn6wJ\nmJycTCAQwOv1trr7W1dX13J3Nzk5mf3797fa39k7vp/epra2ttU2dXV1uN1uIiPbP+XCwkKKiopa\nPZaWlsaSJUtITEy84AAu/VtUVFSr70kZ2HS9neVCr7evMci7bx3jxPHWa5lZLii4ahhjLk3oqVMM\nK9PgpeqpHxN71XUM+tb9ADRtXU/tb1YQU1eNK3kI3q0luL/4FWIWXEtkF39WArbhhXWHeHnDkZDn\nIl0WS+eM5MYpw7v9HxP6+XaOs987L774IsePH2/13Jw5cygoKOjW43U6/K5YsYINGzbw0EMPkZra\nek3AMWPGEBERwY4dO5g1axYAFRUVVFVVkZOTA0BOTg5vvPEGdXV1LXO/27Ztw+12k5mZ2bLNli1b\nWu1769atLftoT0FBQYdfnLq6Ovz+0H/9y8CTkpJCdXXocjsyMOl6O8uFXO8Gb3NdcX1d67XMIiJg\nxpx4koc0DZjvGVNZAUBj+UH81dWYst3NpRVA45/fAMD6q8X4rv0SPoAuvO5zjzlEcm9BJjmpsZw6\ndarLr6Mj+vl2jqioKIYOHcqSJUvCcrxOjT0sX76cwsJCvvOd7xATE0NNTQ01NTU0NTUB4Ha7ueqq\nq1i5ciU7d+6krKyMZ555hnHjxjF27FgAJk+eTFZWFsuWLePgwYNs2bKF119/nUWLFrXc1V24cCHH\njh3jlVdeoaKiglWrVlFcXMx1113XzS9fREQGitN1QQrfPR0SfKOiLWZfmcCw4QPs/SK1zb81xdiY\nQAB72T9BytDmlRwA1/cfxfX5W7q8+/OPOYzWmIP0S5bpxDzA4sWL23186dKlzJ8/H2guuXj55Zcp\nKirC7/eTm5vL7bffHlJysXz5cnbu3NlhyUVpaSkrV66kvLycIUOGcOONNzJv3rwuvcgTJ07ozq9D\n6E6Bs+h6O8u5rnfNyQDFazz4m0LrivMXJDAoceCtPGA2FmE/+y8wdgKuv/4y9lMP4nrgKRieBadO\nYqVlnH8n7Qjahle3VfHbnSdDnouwYMm0Yfx1GEor9PPtHGfv/IZLp8Jvf6Xw6xz6y9JZdL2dpaPr\nfeKYn/VFHoJt64oHucifn4A7fmC2ttn/97+Y1/6j+YOICEgZiuux5y4qlJ70+vlZUQU7K9sfc/iH\ngkzGhelur36+nSPc4bfLS52JiIj0topDTWxa58W0qStOTolg1rx4YmIGZvAFPhl7AEhKwXXXgxcV\nfDcf9fBUUQW1bdbuBZiVlcB38oczKGbg3UEX51H4FRGRfunjfT62b3ReXbEJ+KGhAY5/svqC6+Gn\nsWLd5/isjgVtw2tnxhza/io4woLbpg7j+vE9P+YgEi4KvyIi0q8YY9iz08eenaGtbRkjopia58Y1\ngFvbzGvPY9b8GQBr8R1Y86/F6mL507nGHIa6I7l3bvjGHETCReFXRET6DWMMOzY18PG+ppDnRo2N\n5lPbLTkAACAASURBVPKpcViuARx8jcF8+G7zB+mZWFf/dZfvyGrMQZxK4VdERPqFYNCwaa2XisPt\n1RXHknNZzID91bwJBjEfvI3ZuQkCfqxb7sSaNa9LrzdoG369vYr/2qExB3EmhV8REenzAn7Du28d\n42h5aPCdNC2OUZfG9MJZ9TxjDOzfhf0vP2h5zLrtLlwFC7u0v5NePz8vqmCHxhzEwRR+RUSkT/P5\nbErWeKipbv3recsF0/LcZGRH99KZ9Tyz+k+YXz0LgLXgc1hf/nssV9dWsNhy1MPPOxhzmJmZwN2z\nNeYgzqDwKyIifZbX01xX7Dndpq44EmbOiWdo+gBrbWvDfPA2AK5v/gBr+pwu7UNjDiKtKfyKiEif\ndLo2SPHqehobWke2qGiL/HnxJA8ZmP8LM8ZgXvsPTPUJOFSGdfv3uxx8qxsC/Kyogh3HvSHPpboj\nubcgk/FDNeYgzjIw/+YQEZF+7VRVgHUfhNYVx7kt8uYPzLriFmW7Me+9CYA1bxHWrLld2s2Wox5+\n/mEFtY3tjTnEc/fsDI05iCMp/IqISJ9SedTPhiIPwTaZLWlwFDML4ohzD9zWNvvt32Pe+X1zVfFd\nP8LKGtXpfZxvzOHvpg7l8+NTNOYgjqXwKyIifcaRg01sXufFtEltg4dE8NnrM/B6a3vnxHqY2bMD\nc2g/5r9egEFJXQ6+GnMQOT+FXxER6RMO7PGxY3M7S3ClRzJjTjyxsRF4QzNdv2eCQewnf9j8waAk\nXI8/jxUT2+n9nGvMYUZGPHdfkUGixhxEFH5FRKR3GWPYvaORvaW+kOcys6PInTVw64qN34/90LcB\nsD7zeaxF/5+9Ow2MqrzbBn6dMzNZZrIRspAQQoCwhC1hyQIJ4Na6VWu1rbti1aqo1apY2+fVp7W1\nVQH34lYQ69NFcV+Ka2VJIAkECGGHQAhkX5gks2fm3O+HCdHJmQCBLLNcvy/NzDmTTDhm8u+da+7r\nJ30efF2KwNs7m/FOhTrmIEvATVnx+HFGLGTGHIgAcPglIqIhJBSBiq1WHKlU1xWPGR+CKTPCAzKb\nKg7tg7LiGaCjDbBaIN10D+R5P+zz52m1OvFMUS0qeok5PFSQjIx4fX88ZaKAweGXiIiGhMslsK3Y\n4rW1beK0MIzPCOC64q8/BhrrAF0IpF8uhpzd9x0dyuvdpRVGxhyI+oTDLxERDTpnp8DmQjOaG52e\nByRg+qxwjB4XoHXFFVsgjh6GKCuClLvA3dhmiOzT53ApAu/sbMbbvcQcbsyKxxWMORD1isMvEREN\nKrtNQcl6M9qOe65YyjIwI0+P5FGBWVcszCYoLzzuvjFxGqSfLuzz4Hu8azcHbzGH4XotFjPmQHRK\nHH6JiGjQWMwuFK8ze60rzikwIC4xMOuKhcsF8dZfAQDSzfdCmnseJLlvkYSTxRxmJRtwP2MORKeF\nwy8REQ2KdqMLJevVdcUhoRJy5xsQExtYv5JESyMQGgbl7y8B24oBANL1d0Eu+EGfPo9LEVi9swX/\nrmhmzIGoHwTWKw0REfmk1mYnSnupK847JwIRkYG3Yqk8cpv7A0kC0idDmpIF+ZyL+/Q5jnft5rCj\nt5hDfjIyEhhzIOoLDr9ERDSgGmo7sWWjGUqPv9ZHRsvIWxCBsPDAqysWHd810UkLLoJ8/V19/hw7\n6s1YdrKYw5wkRIXx1zhRX/GnhoiIBsyxKge2l3qpK47TIGeeASEhATj4CgHx3ioAgFTwA0g/ualP\njz9lzCEzHldMZsyB6Exx+CUiogFxaJ8Nu7bbVPcnJGkxa64BWm3gDW/CbIL4x8sQmzcA4ydDuume\nPu1VbLQ6sWxjLXbUe4k5hHft5sCYA9FZ4fBLRET9SgiBvRU2HNyjritOGa1DZo4eshx4g6/yxQcQ\n774BhIZDuvnePr+xbUfXbg7HGXMgGlD8KSIion6jKAIVZVZUH1LXFY+dEIrJWWEB09omhACa6oD4\nJIg170J8+H+AIRLyHQ9Dysg87c/jUgRW72rB2xXNUHrkHGQJuCEzHj9hzIGo33D4JSKifuFyCWzd\nZEF9jbquOGN6GMZNCrC64q2boLzyJKSc+RCl6yFdeCWkK26ApD39X62nijk8VJCMyYw5EPUrDr9E\nRHTWOrvqilu81BVnzg5H6tjAqysWRw64/7d0PaRzL4X804V9evzJYg4zkwz49VzGHIgGAn+qiIjo\nrNhtCorXmdFuVNcVz5yjR1JK4NUVi8q9EGvec9+YOgvSVTef9mNdisC7u9y7OXiLOVyfGY8rGXMg\nGjAcfomI6IyZTe66YovJs65YqwOyCyIQlxB4v2bE1k1Q3nwRACDdeDfk+Ree9mONViee2ViL8l5i\nDg8WJGMKYw5EAyrwXpWIiGhQtBtdKF5ngt3muXwZGuauK44eFni/YpRvPoF4ZwUwYSrk2x+CFBVz\n2o+taDBjWWHvMYf75yYhmjEHogHHnzIiIuqzliYnSjeY4Ozx3ja9QUbeOQYYIgKrrljYbRCf/Avi\niw+AidMg3/MopNDTyzG7FIH3drXgX4w5EPkEDr9ERNQn9TWdKNukriuOipaRG2B1xWL3dohtxRAl\nawGrBRgzAfKDfzrtXSuMNieeLarFdi8xh9iu3RwYcyAaXBx+iYjotB09bEf5Zquqrjg2XoOcAgN0\nAVZXrDz7mPuDlDGQ71gMxCed9uBb0WDGsqI6HLc6VcdmdO3mwJgD0eDjTx0REZ2Wyr027C5X1xUn\nJmsxa44BmgCqKxZCQHzyb/eNcAPkux6BlJB0Wo9VhMC7O08Sc5gejyunMOZANFQ4/BIR0UkJIbBn\nhw2Ve9V1xaPSQjA9Ozyg6opFcwOUPz8EdLQBGi3kP78KKSLqtB57yphDfjKmJDLmQDSUOPwSEVGv\nFEVgx2Yrjlap64rHTQpFxvQAqiu2mAFTG5SVzwEdbZAX/Q6YNvu0G9t2NliwtKjWa8whqyvmEMOY\nA9GQ408hERF55XIKlG0yo6FWPcxlZIYhfVLYEDyrgSGEgPLYIqDtOABAuv4uSDPyTuuxinCXVvxr\nh/eYw3XT43DVlOGMORD5CA6/RESk0ulQUFpoRmuT55YOkgRkZodj1JjAqisWhV99N/j+dCHkcy4+\nrccZbU48u7EO2+vMqmPDwrVYzJgDkc/h8EtERB5sVgUl60xob/NsbZM1wKw5BowYqRuiZ9b/hNUC\n8eaLEGVFkOZfCOknN552vndXV8yhlTEHIr/Cn0oiIupmNrlQvNYMi1ldV5wzLwLD4wPr14b44O8Q\n2zZB+tktkH5wxWnllxXhLq34Zy8xh2unx+GnjDkQ+azAehUjIqIz1nbciZL1Zq91xXkLIhAVExit\nba4lv4MUGwcIAVGyDtJ1d0A+99LTemybzYlnThJzeCg/GVMZcyDyaRx+iYgIzY1ObC70UlccIWPO\nAgP0AVJXLDragP07cWK8l6644bQH35PGHEbo8ev8ZMYciPwAf0qJiIJc3TEHtm6yQPFMOiAqRoO8\nBQaEhgVOa5vYta37Y/mRpyGNm3TKxyhC4P1drfjHjibGHIgCAIdfIqIgVn3IjvItVqDHUDc8XoPs\nggjoQvx/oFNK1gE7ywCNFmLTf4EJUyDf+yiksFPHE9q6dnPY5i3mEKbBgwXJmJZoGIinTUQDhMMv\nEVEQEkKgcq8de3ao64pHjNRh5hw9NBr/H3wBQKx+A2hrBQBIV94M6fwfQQo59VZtuxotWFroPeaQ\nOUKPB+YmIyacv0aJ/A1/aomIgowQAru323Bov7quOHVsCKbNCpy6YmG3AaZ2SOdeCumCyyAlJJ/y\nMaeMOUxzl1ZoAuTfiCjYcPglIgoiiiJQvtmCY1WdqmPpGaGYNC2A6orLNkL58gMA4rQH3/aumMPW\nXmIOD+QnY/oIxhyI/BmHXyKiIOF0CpRtNKOxTv1n/MlZYRg30f/rioUQgN0K8e0aiPffBNInQ77v\n96c1+O7uijm0eIk5TB+hx4OMORAFBP4UExEFAYdDQel6M463qOuKs3L0SEkLGaJn1r/EW3+F2PCl\n+0ZMLOTFT0CST75NmyIEPtjdiv8rV8ccJADXTI/DzxhzIAoYHH6JiAKczaqgeJ0JHV7qimfPNSAx\n2f/rikXdUSDc8N3gG5cI+f4/nHLwbbc58dymOpTVqmMOMWEaPMiYA1HA4fBLRBTATB0uFK81wWrx\nXNLU6STkzDcgNs7/fw0IYyuUx+523wjXQ77v90DqWEi6k69m72m0YMlJYg4PzE3GMMYciAIOf6qJ\niAKUsdVdV+ywew6+YeEScucHRl2xUFwQ/3mn+7b0s1+csrhCEQIf7m7FW4w5EAUlDr9ERAGouaET\nmwvNcPZY1DREyMg7xwC9IQAGX2MLlNeXAvt3QcpZAOknN0CKSzzpYxhzICIOv0REAab2qAPbitV1\nxdHDNMidHzh1xeKdlUB9DeQH/ghMmn7KLdr2NFqwpKgWLRYvMYdEPR7IZ8yBKBjwp5yIKIAcqbRj\nR5m6rjguQYvsAgO0Ov//U75w2KE8/3v3iu/PfgEpI/Ok558y5jAtDj+bypgDUbDg8EtEFACEEDiw\nx459Feq64qQUHWbk+XddsTh8AKY12yGy8qC8tgSoPwbp4p9CWnDxSR/Xbnfh+Y212NJLzOGB/GRk\nMuZAFFQ4/BIR+TkhBHZts+LwAYfq2OhxIZg2MxySn69qKiuegbWhBnj/LWBECuTfLYM0asxJH7On\nqWs3By8xh2mJejzImANRUOJPPRGRH1NcAttLLaipVtcVj58ciolTA6SuWHwXYJb/3zOQQntvo1OE\nwId7WvHWdu8xh6unDcfPp8Yx5kAUpDj8EhH5KadTYEuRGU316pXNqTPCMWZC6BA8q/4lhID4v5eB\nxjpoRqRAXHP7SQffk8Ucort2c2DMgSi4cfglIvJDDruC0g3e64pn5OoxcrR/1xWL4y1QXvoT0OkA\n6o5CypmPmEWPwNipHvRP2NtkxZLCGjT3EnN4ID8ZsYw5EAU9vgoQEfkZq8VdV2xq99zLTKMBZucb\nkJDk33XFoqUJytO/AVqbgTETIN/7KKTp2ZAjo4DWVtX5ihD4qCvm4PISc/j5tOG4mjEHIurC4ZeI\nyI90tLtQvM4EW8+64hAJufMNGDbc/1/WxftvugffcZOgeeTpk57bbnfhhU212FzjPebwwNxkZCUx\n5kBE3/H/V0kioiBhbHGieL0ZnQ51XXHegghERvt3a5vy79chao4Ae3cAM/IgX3vHSc8/Wcxhatdu\nDow5EFFPfFUgIvIDTfWd2FxkhqtnXXGkjLwFEdAb/Lu1TRxvgfjmEwCAlH8BpGvvgBTq/Q17Qgh8\ntLcVf9/GmAMR9R2HXyIiH1db7cDWEsv3d/sCAMTEapAz34DQUP8efJWvPoIoWQcAkO/6LTAjr9ft\n2TrsLjy/qQ6ba0yqY9Gh7tIKxhyI6GQ4/BIR+bCqg3ZUlFlV98clapGd7/91xWL3doh3VgAApPMv\ngzRzTq/n7qrvwKP/OYwmbzGHhHA8kJ+M4Xr/frMfEQ08Dr9ERD5ICIH9u+zYv0tdV5w8SoesXD+v\nK26qh1j/BcQX7wOTpkP+9eOQZO8r2N0xh+3NcPVorZAA/GzqcFwzjTEHIjo9HH6JiHyMEAI7t1pR\ndVBdV5yWHoKpM/y7rliYTVB+fw/gcACz5kK+7o5eB1/GHIiov3H4JSLyIYpLYFuJBbVH1XXFE6aE\nYcKUUL+tKxZ7yqE88ygQHQs4HJBuusf95rZeBt99zVYs2VDDmAMR9SsOv0REPsLZKbC5yIzmBi8N\nZTPDkTbev+uKxbrP3R+0tUL+zZOQ0id7P08IfLz3ON7c1uh1NwfGHIjobHD4JSLyAXa7gtL1Zhhb\ne9QVy8DMXD2SU/23rlgcPgDx308hyoqAzBzIP/8FpIRkr+d22F14obgOpcfUMYeYcC3un5OEGYw5\nENFZ4PBLRDTELGZ3XbG5o0ddsRbIzjcgfoR//mlfCAGx4QuIt5a775ieDfmmuyFFDfN6/r5mK5YW\n1qDRrF75npIQjj9dOgWyQz0UExH1BYdfIqIh1NHuQvFaE2xWdV1x3nwDYvy5rvjQvu7BV7r4p5Au\nvw6SVv39nCrm8NMpw3Ht9DjERYSgtXUQnjcRBTQ/flUlIvJvx1ucKPFWV6zvqiuO8t+6YqX4W4gV\nzwIApAt+DOknN3p9o57J7sLzvcQcokI1+PXcJMxMjhjw50tEwYPDLxHREGis68SWIjNcnhFfRES5\n64rD9f7Z2iacTmB/BcQbzwOpYyGdfznkued5PfdUMYcHuZsDEQ0ADr9ERIOs5ogD20osED3+xD9s\nuAY58wwI8eO6YuWFPwB7yoGRoyE/sgSSTj28CiHwyT53zMGpqD/Hz7piDtzNgYgGQp+H3z179uDj\njz/GoUOHYDQasXjxYsyePbv7+PLly7Fu3TqPx2RlZeG3v/1t922TyYSVK1eirKwMsiwjNzcXCxcu\nRFhYWPc5R44cwcqVK3Hw4EFER0fjoosuwuWXX34m3yMRkc84vN+OndvUdcXxI7SYnW+AVut/A5+o\nqYby6lOQps4E9pRDumERpLnnex18TV27OZQw5kBEQ6TPw6/dbkdaWhrOPfdcLFu2zOs5WVlZuPvu\nuyG6ljV0PV4AX3jhBbS1teGxxx6D0+nE8uXL8dprr+FXv/oVAMBqteKJJ57A9OnTcfvtt6O6uhov\nv/wyDAYDzj///L4+ZSKiISeEwL6dNhzYbVcdG5mqQ1aOHrKf1hWLkm+BuqMQdUeBcZPcxRVe3ti2\nv9mKJb3EHCbHh+OhAsYciGjg9Xn4zcrKQlZW1knP0el0iIqK8nqspqYG5eXlePLJJzFmzBgAwC23\n3IInn3wSN910E2JiYrBhwwa4XC7cdddd0Gg0SElJQVVVFT799FMOv0Tkd4QiULHViiOV6rriMeND\nMGVGuN+2tikbvoRY8x6knAWQrv4FEBmj+l5OFXP46ZThuI4xByIaJAOS+d21axduv/12GAwGTJ06\nFddccw0iItx/xtq/fz8MBkP34AsA06dPhyRJOHDgALKzs7F//35kZGRAo/nunc6ZmZn46KOPYLFY\noNfrB+JpExH1O5dLYFuxBXXH1HXFE6eFYXyGH9cV798J8Y+XgchoSJdd43X/XsYciMjX9Pvwm5WV\nhdzcXCQkJKChoQH//Oc/8Ze//AV/+tOfIEkSjEYjoqOjPR4jyzIiIiJgNBoBAG1tbUhISPA458Rj\njEYjh18i8gvOToHNhWY0N/b4M78ETJ8VjtHj/K+uWCgKsHcHxLHDEKvfACQJ8qLfQRoxUnWuO+ZQ\ni0azevCfHB+OBwuSEceYAxENsn4ffufOndv98ahRo5Camop7770Xu3btwtSpU3t9nBDCb1c/iIh6\nstsUlKw3o+24515msgzMyNMjeZT/1RULxQWx7guIf74CAJDO+xGkq2+DJHvuTiGEwKf7jmMVYw5E\n5IMGfKuzhIQEREZGor6+HlOnTkVMTAza2to8zlEUBWazGTExMQDcq7w9zzlx+8Q5PRUWFqKoqMjj\nvsTERCxcuBBRUVHdb76jwKbT6RAbGzvUT4MGia9eb1N7J9atrUd7m+fgq9VJOO+iEUhKCR+iZ3Z2\nTG/+FdaP/wUAiLjzYYSddykkjWcRR4fNib98cxAbDqmr2KLDtHj0h+ORO9p7vfGp+Or1poHB6x08\nTix+rlq1Cg0NDR7H8vPzUVBQ0K9fb8CH35aWFnR0dGDYMPeL3YQJE2A2m3H48OHu3G9FRQWEEEhP\nT+8+5+2334aiKJC7VhTKy8uRnJzca+ShoKCg13+c9vZ2dHaq/+xGgSc2Nhat7D8NGr54vduNLpSs\nV9cVh4RKyJ1vQKjeitZW9VZnvkwcPgA47FA+Ww0AkO95FNbMbFh7LFIcaLHi6Q2nijmIM75mvni9\naeDwegcPnU6H+Ph4LFy4cFC+Xp+HX5vNhvr6+u7bDQ0NqKqqQkREBCIiIvDuu+8iNzcXMTExqK+v\nxz/+8Q8kJycjMzMTADBy5EhkZWXh1VdfxW233Qan04mVK1ciPz+/e1W3oKAA7733HpYvX44rrrgC\n1dXVWLNmDW655ZZ++raJiPpfa7MTpRvUdcXhegl550QgItL/6orFvgooS//HfWN0OuRfPw7J4PkG\ntVPFHK6aHIvrM+MZcyAinyCJPuYBdu/ejT/84Q+q+xcsWIDbbrsNS5YsQVVVFSwWC4YNG4bMzExc\nffXVHlufmc1mrFixwqPk4pZbbkFo6Hdv/qiursaKFStQWVmJyMhIXHzxxWdcctHU1MSV3yDBlYLg\n4kvXu6G2E1s2mqH0qCuOjHbXFYeF+19rm9i3E8rS37lvxAyH/MjTkIbHe5xjcrjwYnEdio+qd3OI\nDNXg13OSMGtk/+zm4EvXmwYer3fwOLHyO1j6PPz6Iw6/wYMvlsHFV673sSoHtpf2Ulc834CQEP8a\nfJV/vw7R2gQIANuLIf1yMeTsearzDrS4d3NoMKlfXzO6Siv6czcHX7neNDh4vYPHYA+/A575JSIK\nZIf22bBru011f0KSFrPm+l9dsRAC4ptPum9LC3+lGnyFEPhs/3G8sbX3mMN1mfHQMuZARD6Iwy8R\n0RkQQmBvhQ0H96jrilNG65CZo4fsj8PfoX3dH0qX/hxy/gUeh00OF14qrsOmXmIO989Jwux+ijkQ\nEQ0EDr9ERH2kKAIVZVZUH1LXFY+dEIrJWWF+t2+5UFwQq9+A+PYzICUN8gN/ghTpWVN/spjDpDh3\nzCHewNIKIvJtHH6JiPrA5RLYusmC+hovOdfpYRg3yf/qikVjLZTXlwFVByD95EZI510KKey7bSVP\nFXO4sms3B8YciMgfcPglIjpNnV11xS1e6oozZ4cjdaz/1RUrmzdAvPkiYLdBuuRnkC/5mcdxs8OF\nF4vrseloh+qxkSEy7p+bzJgDEfkVDr9ERKfBblNQvM6MdqO6rnjmHD2SUvynrlg4nRCf/AvQaCE+\nexsYngD51gcgjZvkcd7BFhuWFNagnjEHIgogHH6JiE7BbHKheJ0ZFpPn3/y1OiC7IAJxCX72Urqv\nAuI/7rY2af5FkK6/A5L8XQGHEAL/2W/Eyq2NcCrq3TAZcyAif+Znr9hERIOr3ehC8ToT7DZ1XXHe\nAgOih/nXy6jYuRXKp/8GAEg/vALSVQshyd/tQ8yYAxEFOv961SYiGkQtTU6UbjDB2eOv/nqDjLwF\nBhj8rK5YtDZBef73AADphkWQF1zkcfxkMYeJceFYzJgDEQUADr9ERF7U13SibJO6rjgqWkauH9YV\ni8q9UD5/D9BqIf/vi5BGjPzu2CliDj/JiMUNWYw5EFFg4PBLRNTD0cN2lG+2quqKY+M1yCkwQOdH\ndcXCZoWy9H+AIwcBANKPrvYYfM0OF14qqcfGau8xh/vmJCM7hTEHIgocHH6JiL6ncq8Nu8vVdcWJ\nyVrMmmOAxt/qisuKvht8r7sT0vwLu49Vttrw9AbGHIgouHD4JSKC+0//e3bYULlXXVc8Ki0E07PD\n/aquWFhMEGvXQHz4D2DMBMg3LIKUOtZ9TAisOWDEijLGHIgo+HD4JaKgpygCO7ZYcfSwuq543KRQ\nZEz3v7piZeVzQHkpMDkL8i8XQzJEAnDHHP5aUo8iLzGHiBAZ981JQk5K5GA/XSKiQcPhl4iCmssp\nULbJjIZap+pYRmYY0ieFDcGzOjPC2AJYre7iivJS91Zml18HKdT9PZw85hCGxQUjGXMgooDH4ZeI\nglanQ0FpoRmtTZ5bOkgSkJkdjlFj/KeuWOzYDOXFP7pvhIZBuuTnkK64HpIknTLmcEVGLG5kzIGI\nggSHXyIKSjargpJ1JrS3eba2yRpg1hwDRoz0/RVQsXs7kDYekt4AUb65+375qRXdMQdLpwsvFTPm\nQER0AodfIgo6ZpMLxWvNsJjVdcU58yIwPN73XxqFzQLl2ceACVMhpaVDrP8c0pzzIF11c/fge6jV\nhqd6iTlMGO6OOSRE+P6QT0TUn3z/FZ6IqB+1HXeiZL1ZVVccGiYhb0EEomL8pLXtaJX7f/fvhDi8\nH9Jl17ozvmHhEELg8wNG/O0kMYcbMuOh0zDmQETBh8MvEQWN5kYnNhd6qSuO6KorjvD9wVcoCtDp\ngKg+5L4j3AD5oSe6tzE7VczhV3OSkMuYAxEFMQ6/RBQU6o45sHWTBYpn0gFRMRrkLTAgNMz3W9uE\n3Qbl6d8C1ZWARgtMmAL5oT93b8N2qNWGpwtrUNfBmAMRUW84/BJRwKs+ZEf5FivQIwEwPF6D7III\n6EL848//ovAr9+A7IgXSuEmQrryxezeHz7t2c+j0EnP48aRhuDErgTEHIiJw+CWiACaEQOVeO/bs\nUNcVjxipw8w5emh8dCAU9TVARxuk8ZMhjlRCfPkBRHkppPzzIS+8r/s8S6e7tKLwiDrmYAiRcV9e\nEnJHMeZARHQCh18iCkhCCOzebsOh/eq64tQxIZg227fripVVzwOVeyFd+0v3iq/FDGnu+ZCuWth9\nzsliDuOHh2FxQTISI0IG8VkTEfk+Dr9EFHAURaB8swXHqtRDYXpGKCZN84O64uYGAID412sAAPmB\nP0LKyHTfJwS+OGjE37Yw5kBE1FccfokooDidAmUbzWisU9cVT84Kw7iJvl9XLHZuBdqOQ7rtQYiy\nIkhJo7oHX0unC8tL6rGBMQciojPC4ZeIAobDoaB0vRnHW7zUFefoMSrN9yMAonIvlOd/DwCQ0sZD\nzl3QfexQqw1LCmtQy5gDEdEZ4/BLRAHBZlVQvM6EDi91xbPnGpCY7PtbfImaI1CW/BaIjYN8072Q\nEpPd958i5nD5pGG4iTEHIqLTwuGXiPyeqcOF4rUmWC2eg6FOJyFnvgGxcb77UidM7UBYONBYB+Wv\nTwAR0ZAfXw4p1B3PsHS68HJJA9YfaVc91hAi41d5SchjzIGI6LT57m8EIqLTYGx11xU77J6Dr//j\nCwAAIABJREFUb1i4hNz5vl9XrPz6BiAuEXC6M8ryTXd3D76Hj9vw9AbGHIiI+hOHXyLyW3XHrNj0\nrenE3NjNECEj7xwD9AbfHnzF8Rb3B80NQGw85N8ugRQTCyEEvjzYhte3NHiNOVw2aRhuZsyBiOiM\ncPglIr9Ue9SBbcVGVV1x9DANcuf7dl2xsFogStcDDTUAAOmyayGdeymkyKiTxxx0Mn41hzEHIqKz\nweGXiPzOkUo7dpSp64rjErSYXWCATufbK6Liqw8hPvm3+0b6ZMiXXwsAqDpuw1MbalHb4VA9hjEH\nIqL+weGXiPyGEAIH9tixr0JdV5yUosOMPN+tKz5BlG2E+PQdSPkXQLrwSiAxCUIIfFXpjjk4XF5i\nDhOH4eYZjDkQEfUHDr9E5BeEENi1zYrDB9SroqPHhWDazHBIPlxXDADK5kKIVc8B4zMgXXkTpKgY\nd8yhtA7rq7zHHO6dk4Q5jDkQEfUbDr9E5PMUl8D2Ugtqqr3sejA5FBOn+m5dsWg3QnzxAdDWClGy\nzh1zuPO3kCKjThpzSI8Nw8PzGHMgIupvHH6JyKc5nQJbisxoqlfXFecUDEfiSJeXR/kOseFLiC8/\nAABI5/0I0tW3ApKMLw8aTxFziIdO47tv2iMi8lccfonIZznsCko3eK8rnpGrR8a0aLS2tg7Rszs1\n0VgHsaUQACAtvA9y/vmwdip4ubQO63qLOeQlYU4qYw5ERAOFwy8R+SSrxV1XbGr33MtMowFm5xuQ\nkOS7dcXi4G6Irz+BKCsCAEi3PQg5dwGqjtvwdGEtatq9xxwWFyRjRCRjDkREA4nDLxH5HFO7C8Xr\nvNQVh0jInWfAMB+tKxadDvfQ+/6bAOB+U1veuUBM7EljDj+aOAwLGXMgIhoUvvkbhIiClrHFiZIN\n3uuK8xZEIDLad1vbxOfvQ3z8TwCAdPFPIV10FWxOgVc21mEtYw5ERD6Bwy8R+Yym+k5sLjLD1bOu\nOFJG3oII6A2+uTKqFH0NWMwQX30EAJCuuAHypT8/acxhXGwYHmbMgYho0HH4JSKfUFvtwNYSC0SP\nuuKYWA1y5hsQGuqbg69oOw6x6gX3jYQkyE++DoQb8NVBI17rJeZw6cRhuIUxByKiIcHhl4iGXNVB\nOyrKrKr74xK1yM43QOtjdcVCUQCHDdCGQFnxjHv7iWmzIV95M2w6fa8xB71Oxr15IzA3NWoInjUR\nEQEcfoloCAkhsH+XHft3qeuKk0fpkJXrm3XF4rN33NnepFFAYy3kB/8EaeI0HDHa8fTnVTjWS8xh\ncUEykhhzICIaUhx+iWhICCGwc6sVVQfVg2JaegimzvDNumLRdhzia3e2F3VHIf/6D8CEqfi60ohX\nN/cSc5gQg1tmJjDmQETkAzj8EtGgU1wC20osqD2qriueMCUME6aE+mRdsVAUKH9ZDFjMwNRZkK++\nFbbhyXhlUx3WHvYec7gnbwTyGXMgIvIZHH6JaFA5OwU2F5nR3KCuK542Mxxp40OH4FmdmjhyEGLH\nFqCl0Z3vvfXXqO4MOUnMIRSLC0Yy5kBE5GM4/BLRoLHbFZSuN8PY2qOuWHbXFY9M9c1BUZRthPLK\nkwAA6Yc/gfTThfjmUBte3VzFmAMRkZ/h8EtEg8JidtcVmzt61BVrgex8A+JH+F5dsVL8LUTh18D+\nXcDodMh3PAz7sAS8sqkO33qJOYRr3bs55I9mzIGIyFdx+CWiAdfR7kLxWhNsVnVdcd58A2KG+95L\nkVAUiNVvAO1GSJddC+mCy1Ht0OLpNd5jDmOHheLheYw5EBH5Ot/7jUNEAeV4ixMl683odPSoK9Z3\n1RVH+V5dsbBZoDz3e6DdCHnxnyF17+ZwzGvM4ZKumEMIYw5ERD6Pwy8RDZjGuk5sKTLD5RnxRUSU\nu644XO87w6IwdwAOB9BhhLLyOaClEdLVt8E2JgOvbarFfw95jznckzcCBYw5EBH5DQ6/RDQgao44\nsK3EAtFjoXTYcA1y5hkQ4mN1xcozjwHVle4bI1Ig/+YpHI1IwlOfH/EacxgzLBS/YcyBiMjvcPgl\non53eL8dO7ep64rjR2gxO98Arda39vAVTud3g++02ZDv+i3+W23GK4Xed3O4eHwMfjGLMQciIn/E\n4ZeI+o0QAvt22nBgt111bGSqDlk5esg+Vlcs6o9BeW0JAEC+42HYpuXitS1NvcYc7s4dgXlpjDkQ\nEfkrDr9E1C+EIlCx1YojlV4iAuNDMGVGuM+1tomaI1CefQwI10O+739xdNRUPP3VURxt8x5zeLhg\nJJKjGHMgIvJnHH6J6Ky5XALbii2oO6auK544LQzjM3yvrlj5+iOId1YCiSMhL34C3zbLeGVNFeyM\nORARBTQOv0R0VpydApsLzWhu9FJXPCscaem+UVcsHHYoj98P+aa7IbaVQHz9EaTzL4PjR9fitYoO\nfHOoTfWYsK6Yw3zGHIiIAgaHXyI6Y3abgpL1ZrQd99zLTJaBGXl6JI/yoYhA9SGgoQbKkt8BAKRr\nfoljs3+AJWtrUM2YAxFR0ODwS0RnxGJ2oXid2WtdcU6BAXGJvlNXLISA2FLYfVv6yY1YO2ZerzGH\ni8bH4FbGHIiIAhKHXyLqs3ajCyXr1XXFIaEScucbEBPrOy8t4uAeKG++CNQfA2Ji0XnH7/B6cyS+\n3lSnOpcxByKiwOc7v6GIyC+0NjtRukFdVxyul5B3TgQiIn2nrlj58gOI1W+4b6RnoObSW7BkrxbV\nbep875hhoVhcMBIjGXMgIgpoHH6J6LQ11HZiy0YzlB51xZFRMnJ9ra74eIt78JVlyI8vx1qzAS+X\n1sPuUud7L0x3xxxCtb7z/ImIaGBw+CWi03KsyoHtpb5dVyysFqCtFbBZoax8DoiIROfjr+L1XR34\nupIxByIi4vBLRKfh0D4bdm23qe5PSNJi1lzfqStW3ngO2FbsvpE6DrV3/wVL1jXhSJu6cS4tJhQP\nz2PMgYgo2HD4JaJeCSGwt8KGg3vUw2PKaB0yc/SQZd8YfIXdBlSUuW8Mi8P6ax/DK2WNsDnVuzkw\n5kBEFLw4/BKRV4oiUFFmRfUhdUZ27IRQTM4K85nWNrFjM5TXlwKKC47r7sbfdBn4uqRBdV6YVsai\nnEQsGBM9BM+SiIh8AYdfIlJxuQS2brKgvkZdV5wxPQzjJvlOXbHYuRXKa0uBCVNQe/mtWLLTgSNt\nFtV5aTGhWDwvGSlRvtE4R0REQ4PDLxF56OyqK27pWVcsAZmzw5E61jeGR+W/n6LpX6+5b6SOw4aL\n7sLLJa2MORAR0Ulx+CWibnabguJ1ZrQb1XXFM+fokZQy9G8OE1YL0GGE6Bp8HbPnY0Xmdfhqc4vq\n3DCthLtyRuAcxhyIiKgLh18iAgCYTe66YovJs65YqwWy5xkQlzD0dcXCYYfyq2vcN6JjYfrDCjz6\n7REcqWxXnTs6JhQPM+ZAREQ9cPglIrQbXSheZ4Ldpq4rzltgQPQw33ipECe2MQOw4cf345XPKmHt\nVFTn/TA9GrfNSmTMgYiIVHzjNxoRDZmWJidKN5jg7PHeNr1BRt4CAwxDXFcshAD2VUB5dxVQWw17\nxkysnHsHvqpsA+A5+DLmQEREp8LhlyiI1dd0omyTuq44KtpdVxwWPvQrp+Kfr0Ks/Q8AoPbSW7BE\nMx1HKttU542O7oo5RDPmQEREvePwSxSkjh52oHyzuq44Nl6DnAIDdCE+MPjWH+sefDfc9Ee8XBsG\nW88lagA/GBeN22cz5kBERKfG4ZcoCFXutWF3ubquODFZi1lzDND4QF2xUroe4vWlsGtCsPKap/BV\ndScAz0k9XCfjzuxExhyIiOi0cfglCiJCCOzZYUPlXnVd8ai0EEzPDh/yumKxvcTd1uawozb3EixN\nOB9VXso2RkeH4okfZSAS6iGeiIioN30efvfs2YOPP/4Yhw4dgtFoxOLFizF79myPc95++23897//\nhdlsxsSJE3H77bdjxIgR3cdNJhNWrlyJsrIyyLKM3NxcLFy4EGFhYd3nHDlyBCtXrsTBgwcRHR2N\niy66CJdffvlZfKtEwU1RBHZsseLoYXVd8bhJociY7ht1xcr6LwCHHYVXLsby9gTYOlyqcy4YF41f\nzk5EUqwera0cfomI6PT1OSBnt9uRlpaGW2+91evxDz/8EJ9//jluv/12/PnPf0ZoaCieeOIJOJ3f\ntUW98MILqKmpwWOPPYZHHnkEe/bswWuvvdZ93Gq14oknnkB8fDyeeuop3HDDDVi9ejW++eabM/gW\nicjlFNhSZPY6+GZkhmFyZviQDr5i7w4ob74I1+P3wb5rO1659FE80xqvamsL1Ui4f04S7s1LYr6X\niIjOSJ9/e2RlZeHqq69GTk6O1+Nr1qzBVVddhdmzZyM1NRX33HMPWltbUVpaCgA4duwYysvLceed\nd2LcuHGYOHEibrnlFmzcuBFGoxEAsGHDBrhcLtx1111ISUnB3LlzcfHFF+PTTz89i2+VKDh1OhQU\nrzehodazrliSgMzscKRPCuvlkYNDHKmEsuz/QRR+hdrmDvz2/N/jS3Ok6rzR0aFYdnEazh3LfC8R\nEZ25fl06aWxshNFoxLRp07rv0+v1GD9+PPbv3w8AOHDgAAwGA8aMGdN9zvTp0yFJEg4cOAAA2L9/\nPzIyMqDRfLe/aGZmJmpra2GxWPrzKRMFNJtVwcb/mtDa1KOuWAPMzjcgdezQbQsmFBfEwT1QPnsb\nALBh0g/wUP5vUNWprlC+YFw0llw0GqO4jRkREZ2lfn3D24mV2+hoz5WZ6Ojo7mNGo1F1XJZlRERE\ndJ/T1taGhIQE1ec48Xi9Xt+fT5soIJlNLhSvNcNi7lFXrANy5kVgePzQvd9VCAHx7iqIrz6CPUyP\nNy76Hb60xQBeYg535ozAeVztJSKifjIov/2EEJDlky8yCyF84s02RIGg7bgTJevNqrri0DAJufMj\nED1s6FrbhBBQnvoNULkXtef9HEuj5qLKqM4ip0aH4OF5I7naS0RE/apfh9+YmBgA7pXbEx8DQHt7\nO9LS0rrPaWvzbGdSFAVms7n7MdHR0apzTtz+/uf9vsLCQhQVFXncl5iYiIULFyIqKspdkUoBT6fT\nITY2dqifxpCqr7Vi09p6dDo8/5uPjNLiB5clITJKN0TPDBCdDnQsfwr2yr0oTMjEy3I2rF4G30sn\nJ+D++WMQpjv5kM7rHVx4vYMLr3fwOLH4uWrVKjQ0NHgcy8/PR0FBQb9+vX4dfhMSEhATE4OKigqM\nHj0aAGCxWHDgwAFceOGFAIAJEybAbDbj8OHD3bnfiooKCCGQnp7efc7bb78NRVG6V4zLy8uRnJzc\na+ShoKCg13+c9vZ2dHaq9wmlwBMbG4vW1tahfhpDpu6YA1s3WaB4Jh0QFaNB3gI9Op0dGKp/HlFb\nDeXFP8LR2oI38hfhC13aSWMOlo42nCrhH+zXO9jwegcXXu/godPpEB8fj4ULFw7K1+vzG95sNhuq\nqqpQVVUFAGhoaEBVVRWam5sBAJdccgnef/99bNmyBdXV1XjppZcwfPhwZGdnAwBGjhyJrKwsvPrq\nqzh48CD27t2LlStXIj8/v3tVt6CgAFqtFsuXL8exY8ewceNGrFmzBpdddlk/fdtEgaf6kB1bNqoH\n3+HxGsw9NwKhYUO3NZhoboDy6tOodch45MI/uQffHkZFh2DpxWnM9xIR0YCSRB/zALt378Yf/vAH\n1f0LFizAokWLAADvvPMOvvnmG5jNZmRkZODWW2/1KLkwm81YsWKFR8nFLbfcgtDQ77J91dXVWLFi\nBSorKxEZGYmLL774jEsumpqauPIbJIJxpUAIgcq9duzZoS57GDFSh5lz9NBoBjdPL4QAmuqA+CQo\nLzwO7CxDYWIWlk+5FjZF/VzOHxuNX2YnIqyPe/cG4/UOZrzewYXXO3icWPkdLH0efv0Rh9/gEWwv\nlkII7N5uw6H96rri1DEhmDZ7aOqKxdaNUF5+EtIPfgz7N5/hjUlX4YuEWarzznY3h2C73sGO1zu4\n8HoHj8EefoduryMiOiuKIlC+2YJjVer/Y5eeEYpJ04aurlhUuffsrikswrL8h3FYo36j6qiu3RxS\nuZsDERENIg6/RH7I6RQo22hGY51TdWxyVhjGTRy61jZhbIWoKENhfCZennw1rJL6Zea8sdG44wxi\nDkRERGeLwy+Rn3E4FJRuMON4s2drmyQBmTl6jEpTN6QNFrFvJ2zP/h5vjL0EX6TPVR0P0Ui4MzsR\n54/zvmUhERHRQOPwS+RHbFYFxetM6Gjz3NJB1gCz5xqQmDw0e/iKlkYo76xE3cHDWJpzHw6HqrNb\no6JD8HDBSKTGMOZARERDh8MvkZ8wdbhQvNYEq8XzPao6nYSceQbEDkFdsRACongtxKrnUZQ8C8tn\n/gpWqIspzhsbhTuyRzDmQEREQ47DL5EfMLa664odds/BNyzcXVccFTP4dcXC2Qmxdg3sq1dhVc5t\n+DwsXXUOYw5ERORrOPwS+bjmhk5sLjTD2eO9bYYIGXnnGKA3DMzgq6z/HFJEFKSZ6uwuACjL/+KO\nOfSym0NKVAh+M48xByIi8i0cfol8WO1RB7YVq1vboodpkDvfMKCtbeKt5RAANK9/7Hm/3Q5Rug4b\n6+3466z7YNWod5Y4d0wU7sxhzIGIiHwPh18iH3Wk0o4dZVagRw1NXIIWswsM0OmGoLyitQm2pY/i\nzZhsrJlyo+o4Yw5EROTrOPwS+RghBA7ssWNfhbquOClFhxl5A19XLL7XiCi68hZi3eeo+/BdLJ2+\nEIf0I1SPSYlyl1aMZsyBiIh8GIdfIh8ihMCubVYcPuBQHRs9LgTTZoZDGuC6YuFyQVl01Xd3tDRC\neW8VNh4zY3n2r2HRqIfbc8ZE4c7sEQjXMeZARES+jcMvkY9QXALbSy2oqVbXFY+fHIqJUweprril\n0eOm/a9/xqqIGVgzJV91aohGwh3ZiTh/bPSQVSkTERH1BYdfIh/gdApsKTKjqV5dVzxlRjjGThjE\nKEFjXfeH9WGxWJp8BQ5FpqhOY8yBiIj8EYdfoiHmsHfVFbeo64qzcvVIGT24dcWisRYAsDF+GpZP\nvR4WoY4ynJPm3s2BMQciIvI3HH6JhpDV4q4rNrV77mWm0QCz8w1ISBrcumLl43/BsWktVqX/GGtS\n8lU7TTDmQERE/o7DL9EQMbW7ULzOS11xiITceQYMixvcH0/RWIe6r77Asik3oLKXmMPigmSkDVPv\n60tEROQvOPwSDQFjixMlG7zXFectiEBk9ODWFYu6Yyj629/x19n3waINVx1nzIGIiAIFh1+iQdZU\n34nNRWa4etYVR8rIWxABvWHwBkxxaB8cW0uw6piM/4y9UnU8RCPhl7MTccE4xhyIiCgwcPglGkS1\n1Q5sLbFA9KgrjonVIGe+AaGhg7uyWvvPN7Es7jxUxqtjDiOjQvAwYw5ERBRgOPwSDZKqg3ZUlFlV\n98clapGdb4B2kOqKhRAQhV9h46YK/HXUz7zGHBakReEuxhyIiCgAcfglGmBCCOzfZcf+Xeq64uRR\nOmTlDnxd8fd17t6BVRur8VnKpapjjDkQEVGg4/BLNICEENi51Yqqg+q64rT0EEydMfB1xd9Xt2c/\nlmxoQmVKgepYcmQIfjOPMQciIgpsHH6JBojiEthWYkHtUXVd8YQpYZgwJXTQVldFaxM2vv4mXhpx\nASxetjGbnxaFu3ISodcN7i4TREREg43DL9EAcHYKbC4yo7lBXVc8dWY4xowfnEpg4XLBvvxJ/F0e\nj89SfqQ6HqKRcPvsRPyAMQciIgoSHH6J+pndrqB0vRnG1h51xTIwI1ePkamDV1fcULETS7TZOBiV\nqjrGmAMREQUjDr9E/chidtcVmzt61BVrgex8A+JHDE5dsag/ho0ffoGXwmfC4mXwnT86CnflMuZA\nRETBh8MvUT/paHeheK0JNquXuuL5BgwbPjg/bo76GqxavQGfxearjulkCb/MZsyBiIiCF4dfon5w\nvMWJkvVmdDp61BXru+qKowZnhbW+thFLPtqNg7EzVMeSI0Pw8LxkjGHMgYiIghiHX6Kz1FjXiS1F\nZrg8I76IiHLXFYfrB7YoQggB2G0oPtiIF7e0whw1SnUOYw5ERERuHH6JzkLNEQe2lXqvK86db0DI\nINQVOz57F3/facSno+YBOs+2Np3s3s3hh+mMORAREQEcfonO2OH9duzcpq4rjh+hxex8A7TagR82\nG0wOPF0Xh4OjpqmOJUfq8PC8kYw5EBERfQ+HX6I+EkJg304bDuy2q46NTNUhK0cPeRDqijdt3osX\n9zpg1iepjs0bHYlFuSMYcyAiIuqBwy9RHwhFoGKrFUcq1XXFY8aHYMqM8AGPFzhsDvz9vXX4BKMA\n2XPPYMYciIiITo7DL9FpcrkEthVbUHdMXVc8cWoYxk8e+LriBpMDSz7biQNQv6ktOVKHxQUjMTaW\nMQciIqLecPglOg3OToHNhWY0N6rriqfNCkda+sDWFYudZShBPF4ob4MZetXxgtGRuJsxByIiolPi\n8Et0CnabgpL1ZrQd99zLTJaBGXl6JI8a2Lpih9mMv39ahk9GzQfg2RCnkyXcNjsBF6bHMOZARER0\nGjj8Ep2ExexC8Tqz17rinAID4hIHtq64weTA0o/3YP+o+apjSZE6PMyYAxERUZ9w+CXqRbvRhZL1\n6rrikFB3XXFM7MD++JQc68Dz66thFhGqY4w5EBERnRkOv0RetDY7UbpBXVccrpeQd04EIiIHbujs\ndAn8vawOHx9oB+D5dXSyhFtnJeCi8Yw5EBERnQkOv0Q9NNR2YstGM5QedcWRUTJyB7iuuMHkwJL3\ntuCANlZ1jDEHIiKis8fhl+h7jlU5sL3UAuG54IthwzXImTewdcWlxzrwfOExmLwMvvmpkbgnjzEH\nIiKis8Xhl6jLoX027NpuU92fkKTFrLkDV1fsVAT+XlyNjw5bAXh+Da0s4TbGHIiIiPoNh18KekII\n7K2w4eAeL3XFo7vqiuWBGTwbTZ1YWliDfS3qoXtEhA6/mceYAxERUX/i8EtBTVEEKsqsqD6krise\nOyEUk7PCBmzFteTwcbxQUg+TS/35GXMgIiIaGBx+KWi5XAJbN1lQX6OuK540PQzpkwamrtipCLxV\negwfVprBmAMREdHg4vBLQamzq664pWddsQRMnxWO0eMGpq64ydyJJYU12NfsPebw8LyRGMeYAxER\n0YDh8EtBx25TULzOjHajuq545hw9klIGpq64tLIRz5cdh6lTqI7lp7pLKwwhjDkQERENJA6/FFQs\npq66YpNnXbFWC2TPMyAuof/rip2KwFvbm/DhnlbVMW1XacXFjDkQERENCg6/FDTajS4UrzPBblPX\nFectMCB6WP//OLhjDrXY12xVHWPMgYiIaPBx+KWg0NLkROkGE5w93tumN8jIW2CAYQDqijcfM+H5\njTXo8BJzmJsaiXsYcyAiIhp0HH4p4NXXdKJsk7quOCraXVccFt6/rW1OReD/tjfhg15iDr+YmYBL\nJjDmQERENBQ4/FJAO3rYgfLN6rri2HgNcgoM0IX07+B7qpjD4oKRSB/OmAMREdFQ4fBLAatyrw27\ny9VbiiUmazFrjgGafq4r3nzEiOc21sCkqKMMc0ZF4t48xhyIiIiGGodfCjhCCOzZYUPlXnVd8ai0\nEEzPDu/XumKnIvCP8ia8v7sVgOdwy5gDERGRb+HwSwFFUQTKN1tx9LC6rnjcpFBkTO/fuuImcyeW\nFtZir5eYQ2KEDosLkjF+eHi/fT0iIiI6Oxx+KWC4nAJrv2jA0Sr14JuRGYb0Sf2btd1SY8JzG2vR\n4VBUx+aMisQ9eSMQwZgDERGRT+HwSwGh06GgtNCM1ibPLR0kCZg+OxypY/uvrtgz5uBJKwO3zEzA\npROGMeZARETkgzj8kt+zWRWUrDOhvc1zBVbWALPmGDBiZP+1tjUercMz5R3Y06Ze7WXMgYiIyPdx\n+CW/Zja5ULzWDIu5R12xDsgpiMDwhP77T3xLjQnPfVOLDp1BdSxvVATuzUtizIGIiMjHcfglv9V2\n3ImS9WZVXXFomITc+RGIHtY/g6hHzKHH4KuVgYUzEvCjiYw5EBER+QMOv+SXmhud2FyoriuOjNIi\ne144DBH9M/g2W9y7OexpUu/mkGDQ4eF5jDkQERH5Ew6/5HfqjjmwdZMFSo/YbVSMBhf9OBlWW3u/\nfJ2yGhOeLapBR6dQHWPMgYiIyD9x+CW/Un3IjvItVqDHPDo8XoPsggiE67Wwqkvd+sSlCPxjewPe\n22NUHWPMgYiIyL9x+CW/IIRA5V479uxQT7YjRuowc44eGs3ZD6PNlk4sK6zF7l5iDosLkjEhjjEH\nIiIif8Xhl3yeEAK7y204tE9dV5w6JgTTZvdPXfHWWhOeLaxBu5eYQ25KBH6Vl4SIUMYciIiI/BmH\nX/Jp7rpiC45VdaqOpWeEYtK0s68rdsccGvHenuOqY4w5EBERBRYOv+SznE6Bso1mNNY5VccmZ4Vh\n3MSzrytu6drNwXvMQYvFBSMZcyAiIgogHH7JJzkcCko3mHG8WV1XnJmjx6i0kLP+GltrTXh2fTXa\nXbLqGGMOREREgYnDL/kcm1VB8ToTOrzUFc+ea0Bi8tnVFbsUgX/uaMa7u1oAeA6+GglYODMBlzHm\nQEREFJA4/JJPMXW4ULzWBKvF801nOp2EnHkGxMaf3X+yLZZOLP3PLuy2qyMTCQYtHioYiYmMORAR\nEQUsDr/kM4yt7rpih91z8A0Ld9cVR8WcXQRhW50ZzxbVos3L4JvTFXOIZMyBiIgooHH4JZ/Q3NCJ\nzYVmOHu8t80QISPvHAP0hjMfSl2KwL/KavHu/o6e3RjQSMDNMxJw+STGHIiIiIIBh18acrVHHdhW\nrK4rjh6mQe58A0LD1G9IO10tlk4s+3I/dpnVw3O8XovF8xhzICIiCiYcfmlIHam0Y0eijqWcAAAf\n7klEQVSZuq44LkGL2QUG6HRnvhq7rc6MZ9dXo82pHnwZcyAiIgpOHH5pSAghcGCPHfsq1HXFSSk6\nzMg787pilyLw74pmrN7ZAgHPz8GYAxERUXDj8EuDTgiBXdusOHzAoTo2elwIps0Mh3SGdcXNJgce\n/aoKu5rVVciMORARERGHXxpUiktge6kFNdXquuLxk0MxceqZ1xVvq2nHc5sOwGh3qY5lj4zAfXMY\ncyAiIgp2/T78rl69Gu+++67HfcnJyXj22WcBAJ2dnXjzzTexadMmdHZ2IjMzE7fddhuio6O7z29u\nbsbrr7+O3bt3IywsDAsWLMB1110HWT7zNz7R0HM6BbYUmdFUr64rnjIjHGMnhJ7R53UpAv/eWovV\ne9shJMYciIiIqHcDsvI7atQoPPbYYxDC/S4mjea71bZVq1Zh+/btePDBBxEeHo4VK1Zg2bJlePzx\nxwEAiqLgL3/5C2JjY/HEE0+gtbUVL730ErRaLa655pqBeLo0CBz2rrriFnVdcVauHimjz6yuuNXq\nxLLCGuxstLo/2ffE6bVYXDASk+IZcyAiIiK3AVlK1Wg0iIqKQnR0NKKjoxEREQEAsFgs+Pbbb3Hz\nzTdj8uTJGDNmDBYtWoR9+/bh4MGDAIDy8nLU1tbi3nvvRWpqKrKysnD11Vfjiy++gMul/nM2+T6r\nRUHRf02qwVejAXLmGc548N1eZ8b9Hx9wD749ZI804LlLxnDwJSIiIg8DsvJbV1eHO+64AyEhIRg/\nfjyuu+46xMXF4dChQ3C5XJg6dWr3ucnJyYiLi8P+/fuRnp6OAwcOIDU1FVFRUd3nZGZm4m9/+xuO\nHj2KtLS0gXjKNEBM7S4Ur/NSVxwiIXeeAcPi+v6foEsR+PdX5VjdFKqOOcgSbsqKw48nxTLmQERE\nRCr9PvyOHz8eixYtQnJyMoxGI1avXo3//d//xbJly2A0GqHVaqHX6z0eEx0dDaPRCAAwGo0e+V8A\niImJ6T5G/sPY4kTJBu91xXkLIhAZ3fc3n7VanVi24Rh2Noehxy5miNNr8cdLMpAcqn4zHREREREw\nAMNvVlZW98epqalIT0/HokWLsGnTJuh0Oq+POZENPhWu5PmPpvpObC4yw9WzrjhSRt6CCOgNfU/c\nbK8z45kNR9HmZbadnWzAfXOTkZYUidbW1jN81kRERBToBnyrM71ej6SkJNTX12PatGlwOp2wWCwe\nq7/t7e3dq7sxMTGorKz0+BwnVnx7rgh/X2FhIYqKijzuS0xMxMKFCxEVFXXaAzadvaqDJpRuMKrq\niocnhOKCS0YgLLxvK74uRWBV6VG8ufmo19KKO+aOxtUzkiFLEnQ6HWJjY8/2WyA/wesdXHi9gwuv\nd/A4sbi5atUqNDQ0eBzLz89HQUFBv369AR9+bTYbGhoaMGzYMIwdOxYajQY7d+5ETk4OAKC2thbN\nzc2YMGECAGDChAn44IMP0N7e3p373bFjB/R6PVJSUnr9OgUFBb3+47S3t6Ozk38KHwxVB+2oKFO/\nAS0uUYvs/DBYrG2wqA/3qtXqxDMbjqGiyYaeOYc4vRYPFSQjIz4cxuPHAQCxsbFc+Q0ivN7Bhdc7\nuPB6Bw+dTof4+HgsXLhwUL5evw+/b731FmbNmoX4+Hi0trbinXfegUajQX5+PvR6Pc477zy8+eab\nMBgMCA8PxxtvvIGJEyciPT0dADB9+nSkpKTgpZdewvXXX4/jx4/j7bffxoUXXgitlp0cvkoIgf27\n7Ni/S11XnDxKh6zcvtcVb//kczzbkQKjUF/3EzGHKJZWEBERUR9Iop/zAM899xz27t2Ljo4OREVF\nYdKkSbj22muRkJAAwF1y8dZbb6GoqAidnZ3IysrCrbfeqiq5+Nvf/oZdu3b1S8lFU1MTV34HkBAC\nO7daUXVQXVeclh6CqTP6VlfsUgTe3lyNdw6YISTPay5LwI1Z8bgiIxaylww4VwqCC693cOH1Di68\n3sHjxMrvYOn34dcXcfgdOIpLYNv/b+/eg6K8zz2Af/fCbbksIKAsioiKV0CjiVEIpk5tmjbjJDFF\nY85p1dTWZqatmpPJjJmmSWZyMtOqaU//6JzxEjMabzHRo7lg1EQSQUEFlJsRRLyAglx2gXd3YXff\n3/kDsnF5V0VF9vb9zDgT3/dd+K3Puvny+uzvKTKj8aryzzdtSijSpoTc0wcV2/uGVpS72bt3mE6L\n17INmBSvc/PIXnyzDCysd2BhvQML6x04hjr8so+A7pvdJnCqQEJLk3Jc8dRHwjBm/L2NKy5r7MT7\nX9fBqFI+boYhHKvY5kBEREQPiOGX7kt3t4zibyUY2/qNK1YD02fpkJQ88KltDlng44pW7Cq/CdEv\n+N6tzYGIiIjoXjD80j0zSzKK8rvQ1em6l5lGC8zMCkfCCPf7ObvTbrFj/bF6lLfZ0X83h2E6LV7L\nMmBSwu3bHIiIiIjuBcMv3ZPODgdOHuuC1eJmXHFOOGKGDfwldfZcDTaUmGAMilCcm2EIx6rZiYgK\n5UuUiIiIBg+TBQ1Ye6sdRd9KsPX0G1es6xtXHDWwflxnm8M5O0S/4KtWAf+ZGY9nJ7PNgYiIiAYf\nwy8NSPN1G04XSHC4tvgiIqp3XHGYbmDb0Bktdqw/dgnn2hxAv3A7LKxvNwe2ORAREdFDwvBLd9Vw\nuQelxWaIfuOKo2M1mJUTjuCQgQXfczckbPjmEtpl5cuObQ5EREQ0FJg06I4uXehGRalyz934EVrM\nzAqHVnv31gSHLPDxiTrsvtQNWeX6klOrgP/IjMdzbHMgIiKiIcDwS24JIfB9hRU1Vd2Kc0nJQZj2\nmA7qAYwrbjfbsKGwEeeabL37oN1iWJgW/5VtwGS2ORAREdEQYfglBSELlJdYcPmiclzxmPHBmDI9\nbEBT287dkLD+qwswasIU5x5JDMfqOWxzICIioqHF5EEuHA6B0pNmXL+mHFc8YWooxk+++7hihyzw\n8dkm7K5qh9wv+KpVwEuZ8XiebQ5ERETkAQy/5GS3CZw6LqGlWTmuOH1GGFLG3X1ccXunBe9/U4ez\nnRoohlaEafFqtgFT2OZAREREHsLwSwCAbquMom8lmNpd9zJTq4Hpj+tgGHX3ccXlTRLWH7mIdiiv\nfSQxHKvmJELPNgciIiLyICYRglmScTK/C5KbccWPZocjfvidxxU7ZIG9ZY3YVdUBWeUafNnmQERE\nRN6E4TfAdZocOJmvHFccHNI7rjg69s4vkfZrjXj/iwqcDU9WDK2I7dvNgW0ORERE5C0YfgNYW4sd\nxd8pxxWH6VR4/MkIRETeeVxxeZOE9fktaA9PVpyb3rebA9sciIiIyJswmQSopkYbThdKkPuNK46M\nUmPWXcYVy0Lg47zT2NUa4b7NISMez09hmwMRERF5H4bfAHStvgdlxWYI1xu+iBmmwWNP3HlcsdFq\nx4a88zgrRfbfzKG3zSHLgCnD2eZARERE3onhN8DUfW9FZZlVcTwhUYsZc+48rri85jrWF990u5vD\ntL42h2i2ORAREZEXY1IJEEIInC+3orbazbji0X3jitXug6/D4cAnZTews9rkts1hSUYcFk4ZxjYH\nIiIi8noMvwFAlgXKz1hwpU45rjg1LQSTp4Xedmqb0WrH+x+fRJk6DlC5tkPEhGnxGtsciIiIyIcw\n/Po5h0Og5IQZNxqU44onZoRi3MTbjyuuuNGF9Ucvok0dpzjHNgciIiLyRUwufszWN664tf+4YhWQ\nMSMMo8e6H1fssFrwyeFS7DRFQ1a5XqNWAS9mxOEFtjkQERGRD2L49VPdVhkn8yV0GJXjih+ZrUPi\nSPfjik1WOzZ8WoYyEavYzSGmbzeHqWxzICIiIh/F8OuHzF0OnMyXIHW5jivWaoFHnwhHXIJyXLGQ\nOlHZpcb6IxfRhhjF+WkjdFidZWCbAxEREfk0Jhk/02HsHVfcbVWOK358bjj0McqSO5qv45P/3YWd\nY55yu5sD2xyIiIjIXzD8+pHWm3YUf9cFe7/PtunC1Xh8bjjC3YwrNlnteP9IPUpTn1aciwnV4NVs\nA9KHhz+sJRMRERENKYZfP3GjwYYzJ5TjiqP0veOKQ8OUU9sqrrVj/Tf1aFMr2xwyR+iwZo4B0WF8\niRAREZH/YLLxA1cv9eDsKeW44ti43nHFQcGuwVcWAp8cq8SOBjVkdZjLObUKeDG9d2iF5jZDL4iI\niIh8FcOvj7t43oqqs8pxxcMNWsyYHQ5Nv3HFxg4J//j0FEqDRih3c2CbAxEREfk5hl8fJYRA9Tkr\nLp5XjiselRKMjEfDXMYVC9mBqgvXsK6oBW1BIxSPYZsDERERBQImHR8kywLnTltw9ZJyXPHYCSGY\nlOk6rlgWAp/sOYId9pGQta53ddUqYHF6724ObHMgIiIif8fw62McdoEzJyQ0NdoV5yZlhmLcxFCX\nY6aaC3i/oBGlQaPdtjmsyTIgYwTbHIiIiCgwMPz6EFuPjOLjEtpuum7poFIBGTPDkJzqOoq4srIO\n64qNaAtWtjlkjNDhVbY5EBERUYBh8vERVouMovwudJhcp7apNcCM2eEYkfTj1DaHzYZ9XxTho84Y\nyMFRLterACzOiMOv2OZAREREAYjh1wdIXQ6cPCbBLPUbVxwEPJYdgWEJP5bR1GbEPz49hZKwUYo2\nh+hQDV5lmwMREREFMIZfL2dqt6PoW0kxrjgkVIVZORHQx/RObRNCoGr3x1hnSUFb2CjF18no280h\nhm0OREREFMCYhLxYS7Mdp467GVcc0TeuOKI3+MpCYF/eKWy3T4Ec7DrCmG0ORERERD9i+PVS16/1\noOSEGbJrpwOiojWYlROO0DA1hBDoaO/AP78oxxlVHNsciIiIiO6C4dcLXanrxtnTFqDfuOJh8Ro8\nmh2BoODelFu19UOslyeiNTRO8TUyhuuwJottDkRERES3YjLyIkIIXDzfjepzynHFI5KC8MhsHTQa\nFRyyjP17v8b2oEchq9y0OaTH4VdT2eZARERE1B/Dr5cQQqDqrBV13yvHFSePCUb6zDCoZDtM1bX4\nZ5kRZ+SRbtsc1mQZkMk2ByIiIiK3GH69gCwLnD1lxrV6m+LcuEkhmJjeO6646v++xLq2BLSGxiiu\nSx+uw6tscyAiIiK6IyYlD7PbBc4USmi+rhxXPHlaKMZOCIWjtRn7v6vGdmks5FBlm8Oi9GHInRrH\nNgciIiKiu2D49aCeHhnF30lob1GOK858VIdRY4JhajXin7uKcCZ6vKLNQd+3mwPbHIiIiIgGhuHX\nQ6wWGSfzu9DpZlzxzDnhGG4IQnVJJdaVdqAlerzi8el9uznEss2BiIiIaMCYnDygq9OBk8e6YDG7\n7mUWFKTCY0+EQx+rwqc7vsB2x2g4+vX3qgDkpg/DIrY5EBEREd0zht8hZmzrHVfc060cV/z43AjI\nX+/BfzdH4XTkWEDt+lh9qAZr5hgwLZFtDkRERET3g+F3CLU02XDquAR7v8+2hUeoMWtuOC5/cwjr\n21PQEqnczWFq324ObHMgIiIiun9MUkPkduOK9TEaPDo7GHn7v8A2kQqHm90c2OZARERENDgYfofA\n5YvdOHfGzbjiBC0mDm/Aul31OK1zs5tDSO/QCrY5EBEREQ0Oht+HSAiBmupufF/ublyxFjpjAV47\nqUeLbrTi/NSEMKzJMmCYLmgolkpEREQUEBh+HxIhBCpLLbhU06M4lzxMQt2lEmxDKhwhyjaHX00d\nhsXpbHMgIiIiGmwMvw+B7BAoKzaj4YpyXHFy+HUcqKzG6bjJinNscyAiIiJ6uBh+B5ndLnC6QMLN\nG8pxxfExLfifax1ocRN82eZARERE9PAx/A6inu6+ccWt/ccVC9jbT+FvPUlwhOhdz4FtDkRERERD\nheF3kFjMveOKuzr6jStWC9S2nsXXkcmKx+hDNFidZcB0tjkQERERDQmG30HQ1eHAyXzluGK1yo5j\nXVdxIXKE4jFTEsLwKtsciIiIiIYUw+8DMrbaUfSdclyxcFiw19GBtuAwl+MqAC9MGYYXM9jmQERE\nRDTUGH4fwM0bNpwqkODo99k2q13CPkiQ1K6BOCpEg9VzEvGIIWIIV0lEREREP2D4vU+NV3pQUmSG\n6DeuuN1hwefogrXfODe2ORARERF5HsPvfaiv7Ub5GYvieKNsxWHRAVu/4PvClGFYwjYHIiIiIo9j\n+L0HQghcqOzGhUrluOI62YJjsgm33ghmmwMRERGRd2H4HSAhBCpKLKivVY4rrpLNOCF3uNzvnRwf\nhlezDYhjmwMRERGR12D4HQDZIVBaZEbjVeW44hK5CyVyl8sxtjkQEREReSeG37uw2wROFyrHFQsh\nUCh3olqYncciQzRYwzYHIiIiIq/F8HsH3d0yir+VYGxzHVfsEAL5sgl14sfeX7Y5EBEREXk/ht/b\nMEsyivK70NXpupeZTcg4IhvRIH7s/V04ORYvZcazzYGIiIjIyzH8utHZ4cDJY12wWly3LLMKGYcc\n7biJ3t7fyBANVs9OxIwktjkQERER+QKG337aW+0o+laCrcc1+HYJB/IcbTCitwViUnwY/ottDkRE\nREQ+heH3Fs3XbThdIMHh2uKLdmFHnqMNUt8uvgsnx2JJZjy0bHMgIiIi8ikMv30aLvegtMgM4XrD\nF82iB4cc7eiGQGSIBqtmJ2Im2xyIiIiIfBLDLwCrRUbZKWXwvSp346hshB0CE+N62xziw9nmQERE\nROSrGH4BhISqII+SIV9SQa3qbWWolS34tm9c8fN9uzmwzYGIiIjItzH8AujodmD31VYY5GA8odGj\nUpZwQu5EZLAaq+YY2OZARERE5CcYfgHoQ7VYPTsR7xy7BqPdjibY2OZARERE5IfUnl6At5iRFIGF\nk2PRBBuenxyLd+cnM/gSERER+Rne+b3FS5nxmGGIwJThOk8vhYiIiIgeAq8Ov3l5eTh48CCMRiNS\nUlKwbNkyjBs37qF9P41axeBLRERE5Me8tu2hsLAQ27ZtQ25uLv72t79h9OjRePfdd9HR0eHppRER\nERGRj/La8Pv555/jpz/9KebOnYukpCSsWLECISEh+Oabbzy9NCIiIiLyUV4Zfu12O+rq6pCenu48\nplKpkJ6ejgsXLnhwZURERETky7wy/HZ2dkKWZej1epfjer0eRqPRQ6siIiIiIl/n1R94c0eluvcp\na1qtzz1Nuk8qlQpBQdyiLlCw3oGF9Q4srHfgGOqc5pWpMDIyEmq1GiaTyeW4yWRS3A3+wfHjx1FQ\nUOBybNKkSViwYAFiYmIe2lrJ+8THx3t6CTSEWO/AwnoHFtY7sBw4cADV1dUux7KyspCdnT2o38cr\nw69Wq0VqairKy8sxc+ZMAIAQAhUVFXj66afdPiY7O9vtH86BAwewYMGCh7pe8h5bt27F0qVLPb0M\nGiKsd2BhvQML6x1YfshrQ5HZvLLnFwB++ctf4siRI8jPz0dDQwM2btyI7u5uPPnkk/f0dfr/BEH+\nrampydNLoCHEegcW1juwsN6BZSjzmlfe+QWAOXPmoLOzE3v27HEOuXjjjTcQFRXl6aURERERkY/y\n2vALAE899RSeeuopTy+DiIiIiPyE17Y9EBERERENNs1bb731lqcX8bAlJyd7egk0hFjvwMJ6BxbW\nO7Cw3oFlqOqtEkKIIflOREREREQexrYHIiIiIgoYDL9EREREFDAYfomIiIgoYDD8EhEREVHA8Op9\nfh9UXl4eDh486BySsWzZMowbN87Ty6J7sG/fPhQXF6OxsRHBwcFIS0vDSy+9BIPB4LzGZrPhww8/\nxIkTJ2Cz2ZCZmYnf/va30Ov1zmtaWlqwceNGVFVVITQ0FHPnzsWSJUugVvPnP2+2b98+7Nq1C7/4\nxS/wm9/8BgDr7W/a2trw0UcfoaysDN3d3UhMTMQf/vAHpKamOq/ZvXs3vv76a0iShAkTJmDFihUY\nMWKE83xXVxe2bNmCM2fOQK1WY9asWVi6dClCQ0M98ZToNmRZxp49e3D8+HEYjUbExMTgySefxMKF\nC12uY719U3V1NQ4cOIC6ujoYjUa89tprmDlzpss1g1Hby5cvY8uWLaitrYVer8fPf/7zex6J7Ldb\nnRUWFmLTpk349a9/jUWLFqG5uRk7duzAvHnzEBIS4unl0QDt378f8+bNwwsvvICcnBycO3cOn332\nGebPnw+NRgMA2LJlC8rKyvDnP/8Z8+fPR2FhIU6ePImf/OQnAHrfcN98802EhoZi9erVSE9Px549\ne2CxWDB16lRPPj26g9raWuzcuRPx8fFISEjAtGnTALDe/kSSJKxduxaJiYlYtmwZFixYgNTUVMTG\nxiI8PBxA73vA559/jpUrV2LBggU4f/48PvvsM/zsZz9z/jCzbt063Lx5E2vWrMGcOXPw5Zdf4tKl\nS5g1a5Ynnx71s2/fPhw6dAgrV65Ebm4uRo0ahe3btyMsLMx5Y4r19l0NDQ1wOByYN28eTpw4gays\nLJcbVYNRW4vFgrVr1yI1NRV//OMfMXr0aHz44YfQ6/UuPzDflfBTa9euFVu2bHH+XpZl8fvf/17s\n37/fg6uiB2UymURubq6orq4WQgghSZJ48cUXRVFRkfOahoYGkZubK2pqaoQQQpSUlIjFixcLk8nk\nvOarr74SS5cuFXa7fWifAA2IxWIRf/rTn0R5ebl46623xNatW4UQrLe/2b59u3jzzTfveM3vfvc7\ncfDgQefvJUkSS5YsEQUFBUIIIa5evSpyc3NFXV2d85rS0lKxaNEi0d7e/nAWTvflvffeE//+979d\njq1bt07861//cv6e9fYPubm54tSpUy7HBqO2hw4dEsuXL3d5L//oo4/EqlWr7ml9fvlvgHa7HXV1\ndUhPT3ceU6lUSE9Px4ULFzy4MnpQZrMZABAREQEAqKurg8PhcLmjZzAYEBcX56x1TU0NkpOTERUV\n5bwmMzMTZrMZV69eHcLV00Bt2rQJM2bMUNypZb39y5kzZzB27Fhs2LABK1aswOuvv46jR486zzc3\nN8NoNLq8l+t0OowfP96l3uHh4RgzZozzmoyMDKhUKtTU1Azdk6G7mjBhAioqKnD9+nUAQH19Pb7/\n/ntMnz4dAOvtzwarthcuXMCkSZOc//IL9L6/NzY2OvPBQPhlz29nZydkWXbpAQQAvV6PxsZGD62K\nHpQQAlu3bsXEiRMxcuRIAIDRaIRWq4VOp3O5Vq/Xw2g0Oq/p/1qIjo52niPvUlBQgMuXL+O9995T\nnGO9/UtTUxO++uorPPPMM3j++edRW1uLDz74AEFBQcjJyXHWy917+Z3qrVarERERwXp7mWeffRYW\niwWrVq2CWq2GEAKLFy9GVlYWALDefmywamsymZCQkKD4Gj88vv//G27HL8PvnahUKk8vge7Tpk2b\ncO3aNbzzzjt3vVYMcHAhXw/epbW1FVu3bsVf/vIXaLUDf3tivX2TEAJjx47F4sWLAQApKSm4evUq\nDh8+jJycnDs+7m4fXhRCsN5eprCwEMePH8eqVaswcuRI1NfXY+vWrYiNjWW9A5SnauuX4TcyMhJq\ntRomk8nluMlkUvxUQb5h8+bNKC0txTvvvIPY2Fjn8ejoaNjtdpjNZpef+Do6Opx3+6Kjo3Hx4kWX\nr3e7n0LJs+rq6tDR0YHXX3/deUyWZVRVVSEvLw9vvPEG6+1HYmJikJSU5HIsKSkJxcXFAH68Y28y\nmZz/DfTWOyUlxXlN//d6WZYhSRLr7WW2b9+O5557DrNnzwYAjBo1Cjdv3sS+ffuQk5PDevuxB63t\nD4/R6/Vus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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_times('factors', args, lambda x: x)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Pz8fOnTtn5fmmHW49Hg+6u7sj93t6etDZ2QmLxYK8vDy85z3vwY9//GNUV1dj1apVOHbs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\nwOyBmVw7Ttp5CSG6HnnnFOIcaagLsHZlEx537OIMsxdlkJUjPWy7vdB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SU59+SUyTYNv5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\neDjOnTvX18MBAOwrqENJvUXV9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x3IsozQ0FAcPXoU77zzDhYuXIjExEQA9lmb7du3Iy4u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\nERGR22C4JSIiIiK3wXBLRERERG7j/wEHxIH1BQZtXgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_times('factors_fast', args, sqrt)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true, "deletable": true, "editable": 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, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Hw1MC8ka0tjB2iYiIKKBdKnTHTzYipT2hC1x4oYSp5UtJpwMio9zP303prsaU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\nTkSuQmCC\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, "deletable": true, "editable": true }, "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, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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eeU7df/7Csf1GR/MWFyMpi/CI6nsr9u2E8v0rIZ13Qf72jnep+72xLnv9SATK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\nAAAASUVORK5CYII=\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": { "anaconda-cloud": {}, "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }