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@ev-br
Last active August 29, 2015 13:57
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Hypoth 0 for OG
{
"metadata": {
"name": "Untitled1"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "import numpy as np\n\nimport mcba.db as db\nfrom mcba.models.impurity import gamma, initial_q, k_F",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": "import os\nos.chdir(\"/home/br/sweethome/1Dimpur/usage\")\n\n\nfname = \"../data/q25/N45g6mq36.sqlite\"\nhandle, = db.get_handles(fname)\npar, res = db.get_param(handle), db.get_results(handle)\n\nprint par\nprint res",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Par(N=45, L=135, V=1.0, m_q=36)\n{'status': u'done', 'sum P': 0.460128723921, 'sum FSfq2': 0.991878288272}\n"
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": "for row in db.row_iterator(handle):\n print row['partition']\n break",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "fsPairs(h=[-23, 5], p=[-54, 92])\n"
}
],
"prompt_number": 47
},
{
"cell_type": "code",
"collapsed": false,
"input": "from collections import defaultdict\ndct = defaultdict(list)\ndct_fPf = defaultdict(list)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 61
},
{
"cell_type": "markdown",
"metadata": {},
"source": "Get all partitions into a mapping {sum_pairs --> c}: "
},
{
"cell_type": "code",
"collapsed": false,
"input": "for row in db.row_iterator(handle):\n dct[sum_pairs(row[\"partition\"])] += [row[\"c\"]]\n dct_fPf[sum_pairs(row[\"partition\"])] += [row[\"P\"]]",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 62
},
{
"cell_type": "code",
"collapsed": false,
"input": "# which values of the sum are there?\nprint [s for s in dct.keys()]",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "[14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59]\n"
}
],
"prompt_number": 50
},
{
"cell_type": "code",
"collapsed": false,
"input": "def sum_pairs(fs_pairs):\n return sum(fs_pairs.p) - sum(fs_pairs.h)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 51
},
{
"cell_type": "code",
"collapsed": false,
"input": "import matplotlib.pyplot as plt\n%matplotlib inline",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 52
},
{
"cell_type": "code",
"collapsed": false,
"input": "fig, (ax, ax1) = plt.subplots(2, 1)\nfor s in dct.keys():\n lst, lst_fPf = dct[s], dct_fPf[s]\n if 20 < s < 50:\n ax.plot([s]*len(lst), lst, 'o', mec='none', ms=8)\n ax1.plot([s]*len(lst), lst_fPf, 'o', mec='none', ms=8)\n \nax1.set_xlabel('sum integers')\nax.set_ylabel('c')\nax1.set_ylabel('fPf')",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 72,
"text": "<matplotlib.text.Text at 0x9168910>"
},
{
"metadata": {},
"output_type": "display_data",
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yu8BaTjElRUTOafLknyAIvdo83zpY2JtUsGivjDqHqUGIyCaODAykLLKcYXz66acICQlB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\nRERWYcAgIiKr/H9fbQHtuYMkRQAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x8832190>"
}
],
"prompt_number": 72
},
{
"cell_type": "code",
"collapsed": false,
"input": "len(dct[32])",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 56,
"text": "505"
}
],
"prompt_number": 56
},
{
"cell_type": "code",
"collapsed": false,
"input": "min(dct[32]), max(dct[32])",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 57,
"text": "(0.47492576622347965, 0.6117348090056025)"
}
],
"prompt_number": 57
},
{
"cell_type": "code",
"collapsed": false,
"input": "plt.plot(dct[15],'o')",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 59,
"text": "[<matplotlib.lines.Line2D at 0x60b03d0>]"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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JS5euB/CscDUSed4R/2jEfa9ZM9+U6nAyfuy2myJMQ1B/N+NdAeh+hxUayE79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\nF0YkEkIkIrrg8/za4OAJ+Hz2EuBqXZeNLHm09W1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XXx5BVlY9xsZKIEsawKcSq62tVNmm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\nC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TgnmlpaWrjyyiuZNWsWl19+OaC1rcrKSgAqKio47bTTfHktLy9vPx51Fv3973/nz3/+\nM4MHD2bGjBm8/fbbzJo1q0t5yszMJDMzk3HjxgEwdepUNm3aRHp6epfx9MEHH/Ctb32LtLQ0QqEQ\nU6ZM4d133+1SnoS+zFhlZmYyYMCAdhPJiebtmWee4dVXX+WFF15o/6yr+Nq1axdlZWWMHTuWwYMH\nU15ezjnnnMOBAwe6tK8yMzOZMmUKAOPGjSMYDPL55593KU8bNmxoT7Y4derUdpNip/L0lb0EHVBL\nS4vKyspSe/bsUc3Nzd+oQ7WtrU3NmjVL3XLLLa7P58+frx588EGllFIPPPBAlOOpublZ7d69W2Vl\nZbU7L04ErV27Vn3/+98/KXg6//zz1fbt25VSSt1zzz1q/vz5XcrThx9+qEaNGqUaGhpUW1ubmj17\ntnrqqae6hKc9e/ZEOVS/LA/jx49X69evV21tbZ3iUPXj67XXXlMjR45Uhw4dcl33TfLl5ckmP4dq\nV/D061//Wv3iF79QSim1fft2NXDgwC7nKTc3V61du1YppdRbb72lzj333E7nqdOFu1La+zts2DCV\nnZ2t7r///hPxCl965513VCAQUGPHjlVnn322Ovvss9Vrr72mqqqq1L/+67+qoUOHqokTJ6rq6ur2\nexYtWqSys7PVWWed1e69PlG0du3adrRMV/P04YcfqnPPPVeNGTNGXXHFFaqmpqbLeXrooYfUyJEj\nVU5Ojpo9e7YKh8PfOE/Tp09XGRkZKj4+XmVmZqrf/e53X4mHDz74QOXk5Kjs7Gx14403djpfy5cv\nV0OGDFFnnHFG+1z/2c9+9o3yJTwlJCS095VNgwcPbhfuXclTOBxW11xzjcrJyVF5eXnqr3/9a5fw\nZM+p999/X40fP16NHTtWTZgwQW3atKnTeYoFMcUoRjGK0SlIsTJ7MYpRjGJ0ClJMuMcoRjGK0SlI\nMeEeoxjFKEanIMWEe4xiFKMYnYIUE+4xilGMYnQKUky4xyhGMYrRKUgx4R6jGMUoRqcgxYR7jGIU\noxidgvR/AQ5qO85uKtmrAAAAAElFTkSuQmCC\n",
"text": "<matplotlib.figure.Figure at 0x5d26690>"
}
],
"prompt_number": 59
},
{
"cell_type": "code",
"collapsed": false,
"input": "plt.plot(dct_fPf[35],'o')",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 68,
"text": "[<matplotlib.lines.Line2D at 0x7ad2ed0>]"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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zJl3hRiJiQdFlK0QBQGgO38GbbJk2IpFmQiKXbjkY0S99SealQ2YI07s28Kwd\nQzyImTtPnvxMWN/15mcWSt5DJ8wDTegV30OsXny4sMa70EpPTq2IRJoBe9NdVVUPt3sd8vLK4Hav\nQ1VVveJnjeiX+E73kIKyNfB63xZ9Vphe/3fhqUvF2zUTYk5UHk93WN+Vj4UwH2rQ2yvOOzmoGTcr\nYQu1TxAs2bJSRCLNgH3p1qu2MaJfahYUtSEzhOn1f2fPBVrMWz0uLhVdXaEllY+FMB/09d/OG5xQ\n2Grn73RegNP5U853vlAE8wxtd/XqfGRmrjW9XT2IRJoB+9Ktd7dmRL/ULChqQ2YI0Rt8/+y5QC9c\nOBvl5W643SWYM6cMbncJysu/jzFjRoaV9CeRD0JsLIT4EBfXLNi+3jAPVvMvHLbY+c+ZU3b7lv9H\nAMxPpGGXBB5qEIk0A/alW+9uzYh+qYnLxC+bD4fjWY7qJ/RZYXp/BAAoKdmB5uYV6Ov7D9l2pWDE\npafY5TC377PhdL6PMWOex6hRoyXHQogP998/Bzt3ao+HZcd4WkKwhamnxSQwMNjW2UiNLT/NkBl6\nfQjUmGXSAG2fBxr9N9oHw/AE7gcPHiQTJkwgWVlZZNOmTYJlVq1aRbKyssi0adPIF198Efj+ypUr\n5LHHHiMTJ04k2dnZ5Pjx47xnFZDAwGA4rAziNhgxWK267AS9slNS7TMwMICVK1fi8OHDSEtLw6xZ\ns1BQUIDs7GBs6gMHDuDMmTNoaWnBiRMnsGLFCjQ0NAAA1qxZgwULFuCjjz6C1+vF9evXFS1IZtvI\nRoRNLoOhsKs6KlIRKZee0QxJ4d/Y2IisrCxkZGQAAAoLC7F3716O8N+3bx+WLl0KAMjNzUV3dzcu\nXryI2NhYHDt2DB988IGvIYcDd955pyxBZjsBDSanI1qLmJH5da1YaJW2qdTZiFZ7tJ+1E2heesp5\nIvf0tAMYjoSEu22XD9rWkDoW/Pa3vyXLly8PfP7www/JypUrOWUefPBB8oc//CHwee7cueSPf/wj\nOXnyJLnvvvvIj370I+Jyucjy5cvJ9evXZY8uNI6LStId+sskJS0aFMdTWo4lRubXtSJ2u9ltKmlP\nbH4aRSvtvNBK26ShRhOqx+lcRpzOF0Uc0uyZD9oIyIhv+eelfvzoo48UCf9PPvkk8Hnu3Lnk888/\nJ5999hlxOByksbGREELImjVrSElJiWAHSktLA385OUsFhbHSnLNKX75gGWGvQStz3GoBLR2rkfl1\nrdADm93d44ntAAAgAElEQVSmXHtS89NqL2Gx57UuHDSSCEl7IgvNz8F713D06FGOrNQr/CXVPmlp\naWhrawt8bmtrQ3p6umSZ9vZ2pKWlgRCC9PR0zJo1CwDw+OOPY9OmTYLtlJWVBf5//Pg6wTJKj4tK\n0h1yy1hvk0vjqE9Lx2pkfl0r9MBmtynXntT8NNdLWDr9J6BfJUpDjSbtiRz+f6HPPgyGu4a8vDzk\n5eUFPr/66qu66pN08po5cyZaWlrQ2tqK/v5+7NmzBwUFBZwyBQUF2LFjBwCgoaEBiYmJSElJgdPp\nxNixY/G3v/0NAHD48GFMnjxZliC9zjJKXiBuGeUOIUbA/4LV1LyOuroy1NS8jjVrPlYVWgCgp2M1\nMr+uFc4vZrcp157U/LTaSzgcdghTIO2JHP5/oc8+2M3Byg6QFP4OhwMVFRVwu92YNGkSFi1ahOzs\nbFRWVqKyshIAsGDBAowbNw5ZWVkoLi7Gtm3bAs+/9dZbeOqpp5CTk4NTp07hlVdekSUo3IvP5VqO\nhIRubN58RFG8FSUvELfMbABuACVISloa8Bo064KI1gtGy8OUX4/PWUhvvTRptHObcu1JzU+rvYTD\nYQeLHWlPZIC/eaM3Xwc7ZD1858+fj/nz53O+Ky4u5nyuqKgQfDYnJwefffaZaqL8x0Utx04l3nX8\nMrORmVmN8vIi060CaL1gtEwVhT0ep6GhQb8JpBXmlGa3Kdee1Py02ks4HHYIUyDliez/rqfnImJi\ngt68tObrYIetPXy1el0q8a6zSxYku3qWMhgHs+ee1vYGS6rIwYpBkclLjAQ7JXc2CuwFMwaDxV7e\nathlk8TAx6DI5CUG4WNnPZqampGXVzYoXmorPUuNFpBVVfUoKdmB1tZrIGQE7rknXjQjFE1aBpPj\nntWg5fjGYD/YeufPf4nr4XD8JixSobpgUXbbEVpFj9bAW3L0+n/v6PgSLS1X0N8/CkAqfPsMLxIT\n/46dO3/CeyacFqezCKmpIwJem2r4YoYqzW7ziAYioU9We7HLPSdXD00eGx7YzWjIkRDqKJKc/IQu\nBw4rPEz10GOkZ6YWhyIl9AZ/X0uAIhKeDhB4hbhcRTK06EsjKJzur44kJS2iwks988gKb1slNLlc\nRSQ29tkQ/q8lsbGLicu1wjYexlZ7scs/J10PbfmjV3zbXviHQiyHp1JvXLtFGpSix+iFSgsv5fjH\n/b2UAMKhM5KSCmVo0TdOtBcTtXwQg902H1ya6Ofv5S8q+uqz2otd/jk174d++aNX+Nsqk5cc9Jqe\n2cFuORRS9BjtYKOFl3L84/7uBTBCpKbhMrToGye+bTjdnLRa55EdnKbCEaSJbv5evyrv5EknJymM\n1voA673Y5Z9T836It2MWIkr463WCsYPdciik6DF6omjhpRz/uL/nA7gqWP6ee7hp9/i06BuncEfB\npKQ2wXJaeal1Htnt5QdCaaKbv5e/qOirD7Dei13+OTXvh3g7ZiGihL9YDk+lFyZ2yx8rRY/RE0UL\nL+X4x/19NnwLwI855Z3OF/Haa4skaXG5PLpzOS9cOBvV1etRW1uGWbPGCpbRykut88huLz8QSpPf\nU5YOjfxFRV99gPVe7PLPSddjN/lja2sfI2A3u2Uxeuxq/y/HP1qpBGmOkxG81EKfHceUS1M9gB23\nf9keKKOFxqDFVT2Aj+ELoVIDwIG4uGa89NIclJU9p4leGvNC6zyVe06uHprzelA7eUU77LZQRTLs\nwku70CFFk57cv6F1BheVbQBOAdBuos3ABxP+ChEJNsxyEOuDkZm31NIDIOL5HOkwyhZebT3+RaWx\nsQVXruzm/U7D74IGjXLP21V2DHo7fxoQywbkcq2wlb21FMTMBEtLtxqWeUstPdwMS8rbpmEHTtt+\n3o72+EpgnC289ndGr4m2Mhq5vgmlpVuJy1VEkpIWkcTEJYL+CuoTP5ljnqt07umVnVEh/I22+zYD\nYjbCfMc3c3wZ5DMsKWubxstF+wW1oz2+UhhnC6/9nTHKvyZYLz+V45Ah/8qj1+l8kZSWbg0IViVO\no2b7BqmZe3plp22sfaqq6uF2r0NeXpmiuP1qwDexo2v3rRVq+ixmJuj1xoV9Y445oXyGJWVt07B9\np20/b0d7fKUwzhZe+ztjlJVLkMZw2mrwzTf38uj1eB7BL35xKpA4qasrW7Be8cRPwmVowsy5Z4vA\nbkYH4qLtREQDavssZibocPSGfWOOOaF8hiVlbdN4uWi/oHa0x1cK42zhtfPEqOCFQRqVOVsBNejt\nfTvks9rET8JlaMLMuWeLnb/Rqx1tJyIaUNtnsd3TypVzDMu8JQX5DEvK2qbxctF+Qe1ojx8KqROj\ncbbw+h3v/H4X1dXrqWzqgjQKOVsJ0RsuWOVTuJptm2/m3LPFzt/o1S5859HT40Fn50/h8fwqUEZp\ndiNaUNtnqd3TrFn1hmTekoKSDEtK2taTaYpmHUbWRxNyJ0ajMrrZ4Z0Jh5/GkpIdaG5eERJGIh9D\nhlTgm2/WIlT1M3x4E/r7Q2vwPZ+cXIgpUyYK8srskOtmzj1bmHrm56/VHYJXrTmWmfbWQrRt2VLD\nMnjdBo2xoD2edrTHB8TCVdcjOXkrpkzJNty01448AYR9Ffbt+wKtrdcBDMc994zEQw9Nxs6dHaY6\n2Wkxw1bK50Fh6il8w/1zxdYVdrbOUG6iye+zFeaGkWriSIhxtGup1yha+GaT9rFcU9JnWmX00OgP\nEe+PnmsUtIaOVgq94tsWwp8QfYNit1DNSmmT6rMRC5rcS2XnRVQORtEuVa8YP43ko9ZwxEYgtP8u\nV5Gsj4cVdvVWbmaMHqtBI/z1wCgnEiGonUxaaaO9oCl5qey8iMrBeFty7p/LVSTKTyP5yB9H8+a+\nNB3yfVbCF5q8M3IRViIH+O8+3bHSKzttceGrF2bdkGsxSRWjraenHW73OlHdH+1LcHHropJAu5Fs\n4mgU7WL1trZew5Ur2znf+flpJB/DLyCbmprR1cUvZ7RlEn8+yfdZCV9o8k7JnNcCpXJAa+hosyBr\n6lldXY2JEydi/PjxePPNNwXLrF69GuPHj0dOTg5OnjwZ+D4jIwPTpk2Dy+XCfffdR49qXvvmmGNp\nMUkVNolchs7OhICzSU3N61iz5mOOyR7tBU3JS2V3E0cpGEW7WL1iiWr6+oaaEo7bbzb5wQfPWxIm\nmD+f6NjM0+SdUYuwUjmgNXS0WZDc+Q8MDGDlypU4fPgw0tLSMGvWLBQUFCA7O+gZd+DAAZw5cwYt\nLS04ceIEVqxYgYaGBgC+2+ja2lrcddddhnbCLHMsLZNJiLZLl2Jx8uSvOOXCdyS0Tb6UvFR2NnGU\ng1G0i9WbkBCPK1f45X1zzzw+mm2K6Ad/Pvlt5sX7rGSMaI6jUYuwUjkgNDZmmGErhaTwb2xsRFZW\nFjIyMgAAhYWF2Lt3L0f479u3D0uXLgUA5Obmoru7GxcvXkRKSgoAwKeaMh6hNs5GQetkCqctL69M\nsFzo5JF7qdVG1FTyUqkRJHaLdKhVCMr1Q6xeAFizRpifZgtkM+Z+OITm0/DhJzF8+ONwOOIxbtxI\nvPbaIlU28/6xiI29jOTkRUhNTUVa2ijNvBOb8/ffny6pcpWDGjmgZ2yMfsckhX9HRwfGjg1mQUpP\nT8eJEydky3R0dCAlJQUxMTH43ve+h6FDh6K4uBg/+clPqBFuBeQEqNLBUjp5xCaOkM7x1KkiAHdy\nnHC0OP9ItenvW09POzo7E0TbsgpqXzSlulupesX4aYVANhOh86m9/RLOnYtBb++BgBPV1atrRZ8T\nm1/Ll38AjycVQCqA0Rg2rBObNj2qefMhvPNO59n6q527Wk4nWvyQjAx5A0D6uvijjz4iy5cvD3z+\n8MMPycqVKzllHnzwQfLJJ58EPs+dO5d8/vnnhBBCOjo6CCGEXLp0ieTk5JD6+npeGwBIaWlp4O/o\n0aNaL69NgZh5phrLAr1+DbQiaqrps4/eutvtLIpYq6BQRLJ1k53Aja659rZVy1richUprsPlKiLh\n/grAK4J16LHioTXmakzTtdArTOdRkpn5LwFZKSO+ZSG5809LS0NbWzD5dVtbG9LT0yXLtLe3Iy0t\nDQAwZswYAMDo0aPxgx/8AI2NjfiXf/kXXjtlZWUaly7zIbZzUWNZoFctQCuiplL4+uaGLx3fGwDK\nDGvLTESydZOd4OOjP11j8B1obl6Bqqp6RfO6tfUaQlNH+vAGWlt/yCurx4qH1pirOdlpoVeYzjyk\npz8QkJevvvqqGpJ5kLT2mTlzJlpaWtDa2or+/n7s2bMHBQUFnDIFBQXYscOX97OhoQGJiYlISUnB\njRs38PXXXwMArl+/jpqaGkydOlUXsXaGllg9WgNd0YqoqRS+voWGzY1cq6BQRLJ1k53g4yM/5HNf\n338oDs5IiLD1FDCc940eAW7FmGuh1ww6JXf+DocDFRUVcLvdGBgYQFFREbKzs1FZWQkAKC4uxoIF\nC3DgwAFkZWUhPj4e7733HgDA4/Hg0UcfBQB4vV489dRTyM/Pp0a4GMxIaSikv/MNVj38Sap9AjI/\nMFg0L2+EdI5O5wUAxgTe8vUtdKrIW3bYHVVV9fjySw9iY0MDgkVeP/SCxrxcvTof9fXb0dfH/03p\njvqee+IRYiUe8v1I3ndafWf8tJpt0aaFXjPotE1gNxpCkX9JUg+H4zfweukljha6iMnMXIv77vPi\nt7+9ymnL4XgWa9dOw6xZUwSf0UtHePAnALIBobS87FVV9fjXf92K3t49Id/WAziEpKR/4L77vqU6\nyJdSOoyweOCOoa8fsbF/x6RJo/DQQ5NNyX+sFTT5ITaXtczLGTOew8mT23jfSwUqDDciaG2NxZUr\nFYHfnc4XsX37D7BwITdPdVvbn9Henoz+/ndCyi4DkBi2+RHui9kB6oT4zKe3HnFxW5GZmYoxY0YG\nrPek6BwUgd1ouV+bEfdEeTrFYFt2uVjUc1FWWrqVxMWFB6VSfkmthQ6j3PO1hGywA2jzw/hQCuLz\nQyxH8IwZz8kYU/gD2dURYB0BSklc3BNk3LjFqvpidsyf8Atil2tFSH+KCPCs6nHVK75tJ/z1CEWj\nY2kIt+H7u/POpaJtmRl7SAp6X3ZaERGV0mHUoik2HklJ9rZios0P2vNSzfxQ0xduWeHnkpKWKO6L\nHQIY+njvX8i0jate4W/L2D5yekKxo68ZsTSUp1MMtuUbJ+V0qHXgUlqH1MWTUrtptW0KlVd6AWaU\nNY6WkA12AG1+0L5UVGMBo6Yv3LJiIuum4LdCfTEq5o8acC/JywTLGD3vbCn8pSZfUH/mhv9y9dix\nrXjppSaBSxJfLA2uzl/dpYnQBbLQRczTT8/Bzp1rQ/TINYiN/QcuXRqJgoIpii9vtDhwKanj7Nm1\nSEgQiEcA38WTXocSNU4pSoWOURYPWkI2iMFMT2fa/FB7qai3r/7nOzq+xP/+7wXBMqF98Zc/depM\nSAlhHmRkjMRddynri9Emvkr4xL0kt8jqTNe5gQKAcJ2/tB7ZdwTkJ7CIiysOxFgPPXqWlm7VrKqQ\nSsQi5ujlchWR2Fi+/k4pHTQcuNTptH8eon/Urk5Qc4xXqh/W6wwnBSEVBQ29tZHqAyP4oVRVo7ev\nXEfB0H+F+yKs5w//P/c5pX0xIly6VF4Dp3MZcblW8O4XuHp/9eOqV3zbQvirEc4+XZk5F6haJone\niSWsh1Wnm5XS5Qq9IDR0v2rrUCN0zMq8pLY9Ky7yzeaHH3r7Gnw+tJ7gpW1y8iKZ3BK+sklJS4jL\nVSR4MawUNBdR+bwG4pnW+AvcOhIbu5jMmPGcIlr0Cn9bqH3U5OltamoGkC34O20dmZbjoZJnpI6F\nNBy4pNQDQnrZLVtqbv+P66fQ0+MRrEdtm0JQqh82O0ZOeHtVVfWittg01AdqVSl6+aFVdcPta3Ce\nNDa28Lx4pe+bQuuZffuvHt9881ds3nwEW7bUiNxP+cpOm1aG2toy9R0Pgd4ggB0dX8Lj6UZqaio6\nOzvR1RVqAh1ON9/5zX+/4Jd7QTqAVauWmzffdS0dFKCUBO6xUdyskiaM2PnLHZ+FTeB+LJAiT606\nQrq807mMt0NxOl/UcKynr6KxCvw+1ZG4uCfIlClrSH7+Wt3qMrn6afOOTkyccBXMWhIbu5i4XCsk\nVGevhPBK2c6Yy9tgzKDk5CcsmVN8tZXYqTy8f/pP1WLQK74jRvhzhepWAtCxOZeCnEATshWWe0bJ\ngiKmj1Zz3Fdbnobe3yqVhFHgjhVfSDmdy1Qtymrrp31/oEd1E5zXQouAmNAO/gXvm8Kfk7ufskeC\nemG1lZLFzDjVoF7hbwu1jxT8R60TJ9pDvn0OvqNnCe68sw333z9WcWA0NcdeqeOhmHVLebkb5eVu\n0SOlElWB2NFezXFQrXogIeFuWbqkEM7XVavohtHo6WkHMBwJCXfzwnaE/xY6pnosVLhj5T++B1Ue\nHk8qxo1rhttNI0CfuHqAlhog2B5Xvdfe/qXss34aFi/+z9sWUcL0JiUtFXw+ISEd69c/gLfeOoT2\n9svweAqRmupER8cVQQsrf/mlS7eGqVXMN8sEIKK2AvihTmbD6XwfY8Y8j1GjRqOnx4POTmPCruiG\n7uVHJ6RI4O6i9a+gNK0ztO6i7OLtS5MuI6xexK09fJ8djmKR38Qu1NTTxeVJqWBbsbHPUnJ2M049\nwG1P3FJOHc3C9Kp1lJObd/ZzkBSit44kJy8SPfEadSLWK75tLfzlj8XKjth+E0yH40HRiabW3VvL\npBQ3BbVeN+7T+4ebqL2gUh9MZ0Hbv78uLFyG1FFbvG0aHs3czYcylV1+/loyefIzJDnZp793uYp4\npn78uSBeN61QBPv3++4UlPJEWq2p3JzY6fyxoKkjn8f898EumyVhnT//zsNM6BX+tlb7cI/F/iOe\nOlVPMEOQE0C6YJn29kuqnZzUWrcE1UTb4VdZ+YOJhae7sw5XAZQAGApgAECPoqdoOs34+dTVFWrR\nFV6/vMenVNtK6eJmq/oSp09/DULE6+M6IH4MoBJdXfw490GnveBcGDbsFGJinuEEK/OnHKSV0Wnh\nwtnIzPwdmprE++CHnFqzpGQHmpv5EVHXr18CIKgq9WV9S+TkrFaTYY5W9jy9CNLpU1v9/e8LcfNm\nGm7degd9fcDJk760nqFlbQ9Ki5BmhJMQutuQCpYWXlZsR+TbOUgd2cKDsimzLFBr3aLECsjMQFNq\n6TPqWfG6pHb38jt/l6tIYP74gmg5HAUkMXGJ6t2a3KW4MtqlaQ5XD9De+dKKq+Q/uSQlFZLExCWi\ntuk06BdTm5jpZBf+ftIwkNALveLbVjt/fqjddgDLEZrhx7/qKw0nwN2VCsehj4tLRVcXEJ6NqKvL\nF8o4M/N3GDbsGsIvFf0Xu+3tl+DxdCMuLjVgMx9u99zYGMx2Fgp/XB2tuzutO5/w5y5cuCZKnxxo\nxh4PjlfoWIWPW2jYjvDftgH4CCdPjgPwfMhv2wDUAhgPr3c7urt9u7Xly3+K7duV7dbWry8UTdrO\nHWO5k4nwa5eQkI7q6jLOd5s3HxEs295+SVMScqVJzaXmA/cU64NYzl4ap0Ia2fP0QOj9jI1dIljW\nLnGglMBWwj84mH4hLK4icbvXceLoAA6cPRuDkpIdnIHv6bkE4K7bn4KqI2AokpP/ivLy57BlS83t\no3CoBUM9gN+jt3cPmpr4R3f/EXjVqnm31RSV6OoCmpq4gts/cbq7g0nuQxEbO6B5EmtdNPiLbA1i\nYs6HlAjytKmpWTYVX/jR3W99E+q0I/Z8+CLU0/PV7V+4YzVy5J9w773P4+ZNLzyebowc6cC1a4uQ\nmpqKYcOuISbmeVy+fAn/+EcigH8G8HpIK8sBfAVgUtj3gMfzK8XCIjxpuX/BLynZgc7OhJAxDlUJ\n+v8famHTLPBd0KkulCc+p8ZwbENzsxd/+UuwL0o3C/7fS0qW306dOAKE9KGyso9jkRIXt0jwebXz\n1ciMVGal4RTqb1/ftwTLKu2XmTGhREHpBKIZoSQEL1HlE0JzQ6IGj12h1hdB5yUhB6YXBC7eSkPK\nhB7rtF8qCjvHcNVEwX5z+zt58jOBfgiphPRbHAnFTNFnV63mKC7s0Ma3nXc6f0zGjXuCjBjxXQL8\nmFfef5kYvNAvDeOJn6fh3/v+pEJQCPFd2KU/NC57KA+3EuBfSbi1UkzM4wJz8kVSWrqV5/jls2zy\n17+AAA9zfvd9v4g4HI9LqrJCL6O5uRmELVjE8jeoMXbQ4vynVAVqxGWwUNtTpqwR5M+wYT9R1S9p\nnqhXV+kV37ba+ft26YBvJySdEFo6b6hvB7JlSw08nv+8XdcOAD8EMByjRl3F9u0/BYCwS9itITVd\nD/m/mh2GbzfX0NCOGTOW429/u3H7e+5ONinpf1FeviJAp/+kAQQz+5w+/WtkZDyFS5dGobc3GJnU\nv8uT2/mI7S6Cz4Xyz0/fVgDa7arV7Ar5Zevh8aQiPv7PSE4O7urPn78Fj8efzu+/wsoDHo//ZHfH\n7X/Dd5sOge+CiI0dEIzeunNnh+Cpik/3l+CeVA8B+DOABzBsWBZu3foncOfpbBCyG9xTZg08ngS8\n8cZBeL3/zSnr9TYB+D/whTVxIjgf6wF8cPu77fB6xVVZ3NPeOnBPQEIqntkYN+7/Ij2dfxEbDAfC\n52M41IZSUHOapZ3qUKztS5f+IVB6NkaMeBMPPKDex8MOIaUBG6l9qqrq0dl5Ez4dbQz4gr0efX3J\nWLz4PzFrVg2+850xqK9vkMwbGhRy/hgiPsyYURaiOnLD9zI4AIwC8FP4BHCo8Bc6uvuO6aNHOzk0\n+hesq1frcfLkxwBCPViCdNx3X3Cgv/OdMTh06BcgZD+nHkL+H/7+9+fg01cH4Z8oPT1d/M7DF6J5\nxozlaGqKwa1b7wa+P3XKJxSCR3Gh+CnhOmbfwnn48JeIj38YQ4cOxV13xeHaNW9AOIfehQR1xfKO\nRPx4MT7eXb8OXL8OJCauxY0bX6G7+9si9O6AT/D5BZlfVeG/B/CH/T4Dn2PgBwi/83E6X8T994/n\nvfTHji0KS1sZ5Dt/0e0GUHn7/8Exdjgewq1b70A4XrvfqY67yfF6hcpeQFBlVYbgfKwBkAolqiyu\nwAnne6dAm0B6+t2orl4fWBj9ajyxsOZiQldMZy+0OVEjGLXG6BGDWNvx8Q8jfN4Ar+Db305XHJcs\nFGapq+RgG+HP36XfCPk1+IJcuQLU1PhW5DFjgHPn+HX5dyBy+saODv+OLXRQizBixDzcvBkD7oVj\nEXyCJli2s/OnKCgIfRFCF6wa+ISPsMBZteoHAHwvwM6dHSAkIYSGUG9S4Yu39vZL6Ory8upOTHwa\nnZ13w+PpQ/ii4fH8Cv/2b8/jtdcW3aY5RqDmUJ4Fd5YDA0tw48bHANz4+msfz4TMGH26Yv735849\ny7s74I6PkMeoGzExbyM4TcPH8xpCjQGAOQCeBfA2gCYAv7n9fz89SxE8AV5BXNwI/NM/3YOKijqe\nF2lvr3jwQP68ShAsO3z4nfB6hegO/S6830JlHWG/+xe3YYLt+ukMBVfgXAr5fw24F+M+xMUVY9Wq\np0R3w08/nYaGBm2B0fxe2Z2dCbwcFXFx1wWfFROMtALd+XIMfCVYZvjwOFy/7gbXDPr7SE8/xKmn\npGQHWluvgZARuOeeeKxfXyhIm5H3IKqgS2lEAX4S+HpEeZ37uHGPhnh6+v4cjmdIaelWQoi8vlHM\nlNSnO64jvruCdbd1xQ8LlvWbnrnd68JSOZYS7t2Fv551nLuLoN5yUdiz/n7Lmady6x41yk+ncFq7\npKQlAd4IOZxxg8gJmcnKmTHWkSFDHlGki+WOj5AeeW3YX/h9hFAftxJgARk6tIBHV2hIYO69gljb\n4uPN9T4WnkfBMeLHohoy5HGSlPS8QNtCHrhPhM2l0ACHak03/fM6nO/ceeS/b6KlVxe+J5Himb72\n1NEknU5RLA8G/25RWWBEWkEQ9Ypv2+z8+athIYK7EWEyr1wZBq/3SYSuyF7vU2ho8K3IcsfC1FS/\niScXvh2bf8X2r+53CtLQ1zc0sPtwu9ehJqAO9YbQzVU7JSSUBf4f3JGNDOlvqFrmAYTvymJjnw2h\nnVv3kCE/8tcsSC/QDyC4Y6qqqg/jj+/5t94qQUNDO65ezQihJfTf8P/7MRuxsf+BGzf4v4Tv3kLH\np7GxRSDGi7//H9z+7Dt5BMf7UvgDAJ7DjBl/wahRo1FXx6XLHxJ4xAgvTp4MVZUI7cTyERf3bMhd\nSz3i4raio8Nnzuvf+froFt45r1zpz+4WA4A7T7/5ZhUyMnZgyJDmEDNjv5rsIkaNegQzZkxHbOwA\n7r9/DiorP4fHE9rGIQwdegPA/2JgQPxk6UdQPx4DwH/CLgHQwuGPH+npJQDoqSj4KhXhE63TmYjE\nRHp6fGU0rUPwpM03BQ93XAuXIz6thTL1G0BfXaUVthH+/MubYICk8+e7BIM/+XKucictAPT1BfXW\nUsfCMWNGCno7xsXdui28QuteJ1hH6FGN24d8cC+QhZ8JLnpL4BNyJfBdID4L4J8QflEMDCA724vR\no4VpD+YSDl1M/HgFGRnxnPJSQeR8i5mfvvB/w/8fRFzcN4LCX+xCMGgSy33p4+Ka0dtbdvvTDgB/\nAtCEIUOGYfr0FDz00EOorOQGzXI6X8Rrry2SvJTs65MLzgVkZlbj6aenoaHBZ9Z57lzMbbPfoDlv\nebkbmzcPRV0df4zGjQPKyp7DrFn1t4Oh8edpQsIRfPDBA1i+vOi2B3qw/fj4n+JnP3sgMDazZvnV\nCj6jhXvuGYnXXvuZr1Xe93yPcX5gtmAsfSGB5xe2tFQU/Psd8XuGVavmmSIY+cHaxI0yAHEzWrEF\nEjBOXUUFckeDgwcPkgkTJpCsrCyyadMmwTKrVq0iWVlZZNq0aeSLL77g/Ob1esn06dPJgw8+KPhs\nKFhh77oAABALSURBVAnqPPmE0g/6TCWTkpYo8pIVi6f+7W8/yTNzUxpTP7QP48Y9SoYPlzYH46sQ\nfNl8xo1bRMaNWyQaB0iMJ0FTwXC11TridP5Y1dGSe5wVMgUVNl/lmysqO9aGj7+SetTOGXGvWfHg\nXFKqDyVqEbkyZnqLqu07LRUFt12xAHPP6PbOVeMpLx+s7QkV9Zgfg0iB+JZ+XupHr9dLMjMzyfnz\n50l/fz/Jyckhp0+f5pSpqqoi8+fPJ4QQ0tDQQHJzczm///KXvyRPPvkkeeihh4QJUNgBoZdcOvKj\nMttZf7182+dgYg2tMfXF6FZTRstvoX1KTl7E6YNahLrxx8cXkFGjHiXf/vaTgXrFUupp4ZVY+1rr\n0bIwCEEuLaaSBUqqjJmRK7Xa3esZA75vgfQ9A92+icsA4WBtPrrC7xLl6hHW+SsLjKgVhgr/Tz/9\nlLjd7sDnjRs3ko0bN3LKFBcXk927dwc+T5gwgXg8HkIIIW1tbWTu3LnkyJEjinb+WuAXTlIRO5XA\nLtEDGcyBGoGmJM6NngXe7LlHa2FW0o7QyXrkyMcM6a8WPgptlLRcOodukpKSxGMd0YRe2Smp8+/o\n6MDYscGwBOnp6Thx4oRsmY6ODqSkpODFF1/E5s2b0dOjLDqkVvT0pMDrFY7YqfRiSsvFli1ctBk0\nQY3OVc6ZSEldUmVoOyvJwSx9M/+SdzZ6e2fD5VqOnh76/dXyDgvxIi+vLMxYQFs9WmCmTJEU/jEx\nQnbgfPgWIe7n/fv34+6774bL5UJtba3k82VlZYH/5+XlIS8vT1G7QPiNPR9KL6a0h2jWH2qXwd4w\n2jrDLtYftCEmjINZvej2l9bltFV2+HIypba2VlaWqoLUseD48eMctc+GDRt4l77FxcVk165dgc8T\nJkwgnZ2d5Oc//zlJT08nGRkZxOl0kjvuuIMsXryY+tGFGxdH+8WUWl1oJKqJ1FyGMTCEQsvcsUKd\nReNymlY9aqGWX3plp+TOf+bMmWhpaUFrayvGjBmDPXv2YNeuXZwyBQUFqKioQGFhIRoaGpCYmAin\n04kNGzZgw4YNAIC6ujr8+7//O3bs2EFv1bqN4CotHLFT6W5C7e7LLi7aSsFOKgxaoXXuWKHOAvSf\noMSitwqFa/eDhrrGdJkitzocOHCA3HvvvSQzM5Ns2LCBEELI22+/Td5+++1Ameeff55kZmaSadOm\nkc8//5xXR21trW5rHzFEyiptNaykVyo6JjuJ2B96TFHNulw2Akqth2hF6TR756/vaQrQ2wFCrJlg\nVi06WmFVImyxF0PYht+YLEwM2rF/fx2JjV1sydyxGrSynimFWpmiV3baxsNXD6zwlou0SzqrLrHE\nIiVWVCziBVOzIqwtgzS2bKnRnbgkHJFiJadUDUNLXWO2TBkUwh+wZkLZwkVbIczWv/oh9mJ4vXGC\n39v1ziRa4Rs/4fhSq1Y9qbq+SLp7UrphormxMlOmDArhH0kTyipYdVIRezGCMYi4MD2sLYMkfOMn\nHF9Ky9yxSyITJVC6YbJqY6UbupRGFECDhEi7fI0myMcgiow7k2gF7bstq+6etELpfaIV9456Zeeg\n2PlHmtllNEHqxDFrVng4afvemUQraJ8YbZPIRCGUqmEiSQXsx6AQ/pE2oaINUmGjI+2FiUbQHKeI\nVZEMQgwK4c8mFANDZEDsJAEAbvc621sA0YBdrJ0GhfCPNLNLBoZoRvhJIpoMNuzU15jbFweWISYm\nhhcYjoGBIXrgyxj3usD3JaiuXi/6nF120Gqgta9C0Cs7B8XOn4GBIXKhNZy6XXbQamAn45QhprfI\nwMBgGqqq6uF2r0NeXhnc7nWoqqq3miQetBhsiPsLHKJKG23YyTiF7fwZGAYpImV3rMVgw047aDWw\nk3EKE/4MDIMUkeJNq8Vgw047aDWwk3EKE/4MDIMUkbQ7VutLYKcdtFrYxb+FCX8GhkGKSN0dK4Gd\ndtCRCmbqycAwSCGk88/MfAXl5UxIDgbolZ1M+DOYhki0y450VFXV4623DoXsjucxng8SMOHPEBEQ\n3oWuRXm5mwkjBgYN0Cs7mZ0/gymIVLtsBobBCib8GUxBJFmeMDBEA5jwZzAFg9nyhIEhEsGEP4Mp\nWL06H5mZaznf+eyy51lEEQNDdINd+DKYBmZ5wsBAD4Zb+1RXV+OFF17AwMAAli9fjpdffplXZvXq\n1Th48CDuuOMOvP/++3C5XOjr68OcOXNw8+ZN9Pf34+GHH8bGjRupd4DBejATTgYG86Fbdkol+PV6\nvSQzM5OcP3+e9Pf3k5ycHHL69GlOmaqqKjJ//nxCCCENDQ0kNzc38Nv169cJIYTcunWL5ObmkmPH\njvHakCGBweYQTvD9CkvEzsBgMPTKTkmdf2NjI7KyspCRkYFhw4ahsLAQe/fu5ZTZt28fli5dCgDI\nzc1Fd3c3Ll68CAC44447AAD9/f0YGBjAXXfdpX2VYrAlmAknA0NkQlL4d3R0YOzYsYHP6enp6Ojo\nkC3T3t4OABgYGMD06dORkpKC7373u5g0aRJN2hlsAGbCycAQmZAM7BYTE6OoEhKmd/I/N3ToUPzp\nT3/C1atX4Xa7UVtbi7y8PN7zZWVlgf/n5eUJlmGwJ5gJJwODOaitrUVtbS21+iSFf1paGtra2gKf\n29rakJ6eLlmmvb0daWlpnDJ33nknFi5ciD/+8Y+ywp8hshDJoXUZGCIJ4RvjV199VVd9ksJ/5syZ\naGlpQWtrK8aMGYM9e/Zg165dnDIFBQWoqKhAYWEhGhoakJiYiJSUFFy+fBkOhwOJiYno7e3FoUOH\nUFpaqotYBvuBhdZlYIhMSAp/h8OBiooKuN1uDAwMoKioCNnZ2aisrAQAFBcXY8GCBThw4ACysrIQ\nHx+P9957DwDQ2dmJpUuX4ptvvsE333yDxYsXY+7cucb3iMF02CU5BQMDg3IwJy8GBgaGCASL6snA\nwMDAoBpM+DMwMDBEIZjwZ2BgYIhCMOHPwMDAEIVgwp+BgYEhCsGEPwMDA0MUggl/BgYGhigEE/4M\nDAwMUQhJD18GBgYGBu2wc6IjJvwZGBgYDEBVVT3WrPmYE/Tw7FlfHms7LABM7cPAwMBgAOye6IgJ\nfwYGBgYDYPdER0z4MzAwMBgAuyc6YsKfgYGBwQCsXp2PzMy1nO98iY7mWUQRFyykMwMDA4NBqKqq\nx1tvHQpJdDSP2mWvXtnJhD8DAwNDBILF82dgYGBgUA0m/BkYGBiiEEz4MzAwMEQhmPBnYGBgiEIw\n4c/AwMAQhWDCn4GBgSEKoUj4V1dXY+LEiRg/fjzefPNNwTKrV6/G+PHjkZOTg5MnTwIA2tra8N3v\nfheTJ0/GlClTsGXLFnqUMzAwMDBohqzwHxgYwMqVK1FdXY3Tp09j165daG5u5pQ5cOAAzpw5g5aW\nFrzzzjtYsWIFAGDYsGH49a9/jb/85S9oaGjA1q1bec8yBFFbW2s1CbYB40UQjBdBMF7Qg6zwb2xs\nRFZWFjIyMjBs2DAUFhZi7969nDL79u3D0qVLAQC5ubno7u7GxYsX4XQ6MX36dADAyJEjkZ2djQsX\nLhjQjcEBNrGDYLwIgvEiCMYLepAV/h0dHRg7dmzgc3p6Ojo6OmTLtLe3c8q0trbi5MmTyM3N1Usz\nAwMDA4NOyAr/mJgYRRWFuxmHPnft2jU8/vjjKC8vx8iRI1WSyMDAwMBAHUQGx48fJ263O/B5w4YN\nZNOmTZwyxcXFZNeuXYHPEyZMIB6PhxBCSH9/P8nPzye//vWvBevPzMwkANgf+2N/7I/9qfjLzMyU\nE9+SkE3jOHPmTLS0tKC1tRVjxozBnj17sGvXLk6ZgoICVFRUoLCwEA0NDUhMTERKSgoIISgqKsKk\nSZPwwgsvCNZ/5swZORIYGBgYGChDVvg7HA5UVFTA7XZjYGAARUVFyM7ORmVlJQCguLgYCxYswIED\nB5CVlYX4+Hi89957AIA//OEP2LlzJ6ZNmwaXywUA2LhxI77//e8b2CUGBgYGBjlYHtKZgYGBgcF8\nWOrhq8R5bDBh2bJlSElJwdSpUwPfffXVV5g3bx7uvfde5Ofno7u7O/Dbxo0bMX78eEycOBE1NTVW\nkGwIxJz/opEXfX19yM3NxfTp0zFp0iT8/Oc/BxCdvPBjYGAALpcLDz30EIDo5UVGRkZAa3LfffcB\noMwLXTcGOuD1eklmZiY5f/486e/vJzk5OeT06dNWkWMK6uvryRdffEGmTJkS+O5nP/sZefPNNwkh\nhGzatIm8/PLLhBBC/vKXv5CcnBzS399Pzp8/TzIzM8nAwIAldNNGZ2cnOXnyJCGEkK+//prce++9\n5PTp01HJC0IIuX79OiGEkFu3bpHc3Fxy7NixqOUFIYT88pe/JE8++SR56KGHCCHR+Y4QQkhGRgbp\n6urifEeTF5YJ/08//ZRjRbRx40ayceNGq8gxDefPn+cI/1DLqM7OTjJhwgRCCN+qyu12k+PHj5tL\nrEl4+OGHyaFDh6KeF9evXyczZ84kTU1NUcuLtrY2MnfuXHLkyBHy4IMPEkKi9x3JyMggly9f5nxH\nkxeWqX2UOI9FAy5evIiUlBQAQEpKCi5evAgAuHDhAtLT0wPlBit/Qp3/opUX33zzDaZPn46UlJSA\nOixaefHiiy9i8+bNGDIkKJqilRcxMTH43ve+h5kzZ+Ldd98FQJcXstY+RkGp81g0ISYmRpIvg41n\n165dw2OPPYby8nKMGjWK81s08WLIkCH405/+hKtXr8LtduPo0aOc36OFF/v378fdd98Nl8slGsYh\nWngB+KwlU1NT8eWXX2LevHmYOHEi53e9vLBs55+Wloa2trbA57a2Ns7KFS1ISUmBx+MBAHR2duLu\nu+8GwOdPe3s70tLSLKHRCNy6dQuPPfYYFi9ejEceeQRA9PLCjzvvvBMLFy7E559/HpW8+PTTT7Fv\n3z7cc889+OEPf4gjR45g8eLFUckLAEhNTQUAjB49Gj/4wQ/Q2NhIlReWCf9Q57H+/n7s2bMHBQUF\nVpFjGQoKCvDBBx8AAD744IOAICwoKMDu3bvR39+P8+fPo6WlJXDjH+kgIs5/0ciLy5cvByw2ent7\ncejQIbhcrqjkxYYNG9DW1obz589j9+7deOCBB/Dhhx9GJS9u3LiBr7/+GgBw/fp11NTUYOrUqXR5\nQfeKQh0OHDhA7r33XpKZmUk2bNhgJSmmoLCwkKSmppJhw4aR9PR08l//9V+kq6uLzJ07l4wfP57M\nmzePXLlyJVD+jTfeIJmZmWTChAmkurraQsrp4tixYyQmJobk5OSQ6dOnk+nTp5ODBw9GJS9OnTpF\nXC4XycnJIVOnTiW/+MUvCCEkKnkRitra2oC1TzTy4ty5cyQnJ4fk5OSQyZMnB+QjTV4wJy8GBgaG\nKARL48jAwMAQhWDCn4GBgSEKwYQ/AwMDQxSCCX8GBgaGKAQT/gwMDAxRCCb8GRgYGKIQTPgzMDAw\nRCGY8GdgYGCIQvx/LzBDLOsayqcAAAAASUVORK5CYII=\n",
"text": "<matplotlib.figure.Figure at 0x7ab3990>"
}
],
"prompt_number": 68
},
{
"cell_type": "code",
"collapsed": false,
"input": "",
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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