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@wskinner
Created May 28, 2015 05:10
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{
"metadata": {
"name": "",
"signature": "sha256:50bb1caeb855ad65d3fbb925369b7c0c1a1ff7e5d04bbaaf4a9885c56bd7807a"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Optimal Loan Payment Scheduling"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def compound_interest(principle, rate, periods):\n",
" r = rate / 100.0\n",
" return principle * ((1+r)**periods)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"L = {\n",
" 'A': (3.15/365.25, 7746),\n",
" 'B': (7/365.25, 4200),\n",
"}"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from collections import defaultdict\n",
"import matplotlib.pyplot as plt\n",
"\n",
"def plot_projection():\n",
" projection = defaultdict(list)\n",
" for k in L:\n",
" v = L[k]\n",
" projection[k].append(v[1])\n",
" for i in range(120):\n",
" for k in projection:\n",
" previous_principle = projection[k][-1]\n",
" projection[k].append(compound_interest(previous_principle, L[k][0], 30))\n",
"\n",
" projection_plot = plt.figure()\n",
" axes = projection_plot.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n",
" for k in projection:\n",
" axes.plot(range(121), projection[k], 'g')\n",
"plot_projection()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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6mvqYbzUfny7/FJs8NkGHrTMp300L9wghk07aLcWZ+2dwquwU7jTcQbhTONYJ1mGF04qX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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1060b3750>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Assume we are willing to put $X/period to our loans. When deciding which loan to allocate that dollar to, we want to choose the loan that has the highest marginal cost of not allocating the dollar to it. This is the loan that is contributing the most toward to total Future Value of the loans, or the loan for which (principle * interest) is the highest. For each dollar we need to allocate, we can check which loan is contributing the most toward the total Future Value, and allocate the dollar to that loan."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Returns the loan with the greatest contribution to Future Value\n",
"def max_loan(loans):\n",
" return max(loans, key = lambda key: loans[key][0] * loans[key][1])\n",
" \n",
" \n",
"# given money, the set of loans, and a granularity of money, returns an allocation of money and \n",
"# mutates the loans.\n",
"def allocate(money, loans, granularity):\n",
" allocation = defaultdict(lambda : 0)\n",
" # TODO: always allocate the minimum payment to each loan so that we dont default. Then only iterate over what is left\n",
" for i in range(money):\n",
" loan = max_loan(loans)\n",
" allocation[loan] += 1\n",
" loans[loan] = (loans[loan][0], max(0, loans[loan][1] - granularity))\n",
" return allocation\n",
"\n",
"# advances the loan by some number of compounding periods.\n",
"def advance(loans, periods):\n",
" for k in loans:\n",
" loan = loans[k]\n",
" loans[k] = (loan[0], compound_interest(loan[1], loan[0], periods))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"months = 0\n",
"while sum(map(lambda x: x[1], L.values())) > 0 :\n",
" months += 1\n",
" allocation = allocate(500, L, 1)\n",
" advance(L, 30)\n",
" print str(allocation) + \" \" + str(sum(map(lambda x: x[1], L.values())))\n",
" plot_projection()\n",
"print \"repayed loans in \" + str(months) + \" with total cost \" + str(months * 500)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"defaultdict(<function <lambda> at 0x1064f1320>, {'C': 16, 'J': 468, 'D': 16}) 13583.8886668\n",
"defaultdict(<function <lambda> at 0x10650b938>, {'C': 177, 'J': 146, 'D': 177}) 13147.8671563"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x10655c578>, {'A': 21, 'C': 162, 'J': 134, 'D': 162, 'B': 21}) 12709.8140084"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x1065969b0>, {'A': 99, 'C': 107, 'J': 88, 'D': 107, 'B': 99}) 12269.713759"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x1065f0de8>, {'A': 100, 'C': 106, 'B': 99, 'J': 89, 'D': 106}) 11827.5554793"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x106626c80>, {'C': 106, 'A': 99, 'B': 100, 'J': 88, 'D': 107}) 11383.3304937"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x106666410>, {'A': 86, 'C': 92, 'B': 86, 'D': 91, 'G': 17, 'F': 18, 'I': 17, 'H': 17, 'J': 76}) 10936.9815629"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x1066969b0>, {'A': 58, 'C': 62, 'B': 58, 'D': 63, 'G': 52, 'F': 51, 'I': 52, 'H': 52, 'J': 52}) 10488.4040537"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x1066d2d70>, {'A': 58, 'C': 62, 'B': 58, 'D': 62, 'G': 52, 'F': 52, 'I': 52, 'H': 52, 'J': 52}) 10037.5857695"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x10670b2a8>, {'A': 58, 'C': 63, 'B': 59, 'D': 62, 'G': 52, 'F': 52, 'I': 51, 'H': 52, 'J': 51}) 9584.51708829"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x106743140>, {'A': 59, 'C': 62, 'B': 58, 'D': 62, 'G': 51, 'F': 52, 'I': 52, 'H': 52, 'J': 52}) 9129.18570626"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x10677c848>, {'A': 58, 'C': 62, 'B': 58, 'D': 62, 'G': 52, 'F': 52, 'I': 52, 'H': 52, 'J': 52}) 8671.57958277"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x1067acde8>, {'A': 58, 'C': 63, 'B': 58, 'D': 63, 'G': 52, 'F': 51, 'I': 52, 'H': 51, 'J': 52}) 8211.68925371"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x1067ea230>, {'A': 59, 'C': 62, 'B': 59, 'D': 62, 'G': 52, 'F': 52, 'I': 51, 'H': 52, 'J': 51}) 7749.50257582"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x1068206e0>, {'A': 58, 'C': 62, 'B': 58, 'D': 62, 'G': 52, 'F': 52, 'I': 52, 'H': 52, 'J': 52}) 7285.00668105"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x106857578>, {'A': 58, 'C': 63, 'B': 58, 'D': 63, 'G': 51, 'F': 51, 'I': 52, 'H': 52, 'J': 52}) 6818.19193071"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"defaultdict(<function <lambda> at 0x106890c80>, {'A': 59, 'C': 62, 'B': 59, 'D': 62, 'G': 52, 'F': 52, 'I': 51, 'H': 51, 'J': 52}) 6349.04600607"
]
},
{
"output_type": "stream",
"stream": "stdout",
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1XUpdB0PQ2duJq2VXcb7oPH4p/AWK8opYYrMEi20Ww9fUd0zdaCiFn4Jv07/F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\nAICwoGAAAEBYUDAAACAs/wMEqmaNeiBMiwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10651cad0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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lhgnmEzDHfg6Wui4FR5cz0EUdEjqUHYi+G43jOceRKEqEuEkMlUoFs1Fm4Ohy\nwGJYKKwt7J54GDQmCH48P+qsJi8MBQZ5IZRKJa6XXcfxnOO4VnoNBbUFaJG3/Lf2YDUZi/iLEGAb\nQLWHXqqX1uNQ9qHux7XWtNZAnaUOKwMr8PR50FDTwO2q29BW1+4OiBl2M2jyIek3FBjkuZQ3leNw\n9mHE3YtDVmUWqlo7n7prrmuOCZwJCHEMwWKXxTAdZTrAJR06CmsLEXUrCnGFccitzkWTrAk6bB04\nGDnAwdgBOmwdpFemo6KpAjPsZiBoTBBmjplJS2+Ql4YCgzyTXCHHL/m/IDYvFkmiJJQ0lEDaIYWe\nhh4cRztiqvVULOIvgj/Pn2oPvdTV/3Ak+wiull7Fvbp7aFe0w1jbGC6mLhhvNh46bB0kiZKQWZkJ\nX54vAu0CETQmiEYzkQFDgUEekVmZiaO3jyK+JB55NXmok9aBzWKDp8+Dl4UXXh33KhY6LYSuJj0Y\nqLdaZa04mnMUMXkxSC1P7R4NZqlnCR9LH3hbeENdTR1XSq7gWsk1OI52RKBdIALtAjHFZgp02DoD\nfAWEUGCMeJJmCY7lHMO5wnO4VXmru2N6tM5ouJi6INAuEEvGL4HjaMeBLuqQUlhbiIO3DuJC0QXk\nVOWgob0BWmpaGGM8BlOspmCa7TQ0tjfi1+JfcbnoMgy0DBBoF4iZY2Ziuu10jNYZPdCXQMgjKDBG\nEGmHFLF5sTiVfwop4pTupiVdDV3YG9ljotVELHReiOm206lp6TdQKpW4cO8Cjucex/XS6yiqL4JM\nIYORlhHGm41HsH0wgscEQ1grxKWiS/i16FfIFDIEjgnEDNsZCBwTCGsD64G+DEKeiQJjmOoatfTT\nnZ9wo/QGhLVCNLY3QkNNAzx9HjzNOyfFLXBeAD1NvYEu7pBS01qDH7N+xNmCs8iszERVSxVYDAs8\nfR68Lb0x33k+AmwCkCRKwq/Fv+LXol9R1VKFANsAzLCdgRl2M+Bk4kTzIciQQ4ExTORU5eBozlFc\nKbmCO9V3UNNaA4bpfJCNG8cNgbaBWDx+MWwMbQa6qEOKUqlEoigRR253dk4X1BagVd6KUexRGDt6\nLAJsA7B0/FKMHT0WV0uu4nLxZfxa9CuK6oswyWoSAu0CMcNuBtw4btRRTYY8CowhqKyhDMdyjuFi\n0UVkS7JR2VwJhUoBY21jOJk4dY9a8rL0GuiiDjn10noczj6MM8IzSK/snGwIdC5V4m7u3r1UiYa6\nBq6VXMN5OlkVAAAgAElEQVTl4su4XHwZd2vuwpfri+m20zHDbga8Lb1pwhwZFvJq8vA/5/8H10uv\no+n9pv4LjLKyMquIiIgDVVVVZgzDqN54443v1q9fv6u2ttZ48eLFR0tKSmxsbW2Ljx07Fm5oaFgP\nANu2bdu8b9++VWpqaopdu3atDw4OjgOAtLQ0r5UrV34vlUq1QkJCzuzcuXNDj4IM08C433ofP935\nCecLziOjMgPiJjFkChn0NPRgb2yPibyJCHMKwwy7GfQL9jfqqj0czTmKa6XXILwvRIu8BTpsHdgb\n2WOKzRQs5i/GZOvJaOtow42yG4gvjsfl4svIlmTD29Ib022nY7rddPhyfaGprjnQl0RInxXcL8Cm\nuE2IL4lHY3tj93Y9Db3+DYzKykrzyspKc3d398zm5mZdLy+vtOjo6LD9+/f/3sTEpOZ///d/P/3k\nk0/eraurM9q+fft7ubm5/GXLlh26efOmj1gs5s6cOfOiUCh0ZBhGJRAIUr766qu3BQJBSkhIyJn1\n69fvmj179rnuggyDwGhqb8LJuydxruAc0irSUNpQCmmHFDpsHdgY2EDAFSDEMQRzx86FNlt7oIs7\n5FQ1V+FoztHuvgdJiwTAf2sPcxw6lyox0TFBi6wFCWUJiC+JR3xxPG5V3oKHhUdnQNhOhx/Pj/43\nIMNCwf0C/PnCn3G5+DIa2hu6t+uydeFv5Y9PZn7SvTp0X5uk1J/2obm5eaW5uXklAOjq6jY7Ozvf\nEYvF3NjY2NArV65MA4DIyMiogICA+O3bt78XExMzb+nSpYfZbLbc1ta22MHBoSA5OdnXxsampKmp\nSU8gEKQAQERExIHo6OiwBwNjqGmVteKX/F9wRngGqRWpKK4vRqu8FVrqWrDSt4KXhRfen/w+wpzC\naEXR59Ch7EBcYRxO3jmJBFECiuqK0NbRBl22LuyN7bGIvwjhLuGYyJsIFouFZlkzbpTewGeJnyG+\nOB5Zkix4WHggwDYA/xfwf/C38qe5EGRYyKvJw5/i/oSrpVd71CB02bqYYTsDnwZ92m/N2U8NjAcV\nFxfbZmRkePj6+iZLJBIOh8ORAACHw5FIJBIOAJSXl1v6+fkldR3D4/FEYrGYy2az5TweT9S1ncvl\nisViMffh79iyZUv3+4CAAAQEBDzXRb1obfI2/JL/C84KzyK1PBVF9UVokbd0j1iawJmA9YL1WOC8\ngJbSeE7C+0Icyj6EX4t/RU5VDmrbasFiWLDUs4SXhRc2+G5AuEs4DLU6l0lvkDbgeul1vHfpPVwp\nuYKcqhx4WngiwDYAf5/xd/jx/CggyLBwq/IW3rv4Hm6U3UCTrKl7uy5bF4F2gfhk5idPDIj4+HjE\nx8e/sLL0KjCam5t1Fy5c+NPOnTs36OnpNT34GcMwKoZhXkhb0oOBMVAeDofihmI0y5qhoaYBSz1L\nuHPc8ab3m1jovJAeIfqcGqWNOJF7AqcLTiOtPA3iJjE6lB0w0jKCk4kT3vJ+C0tclmA8Z3z3Mfdb\n7yO+OB5XS67iSskV5NXkQcAVYJrNNHwy8xP4cn2piYkMC4mliXjv1/eQVp6GFnlL93Y9DT3Mtp+N\nT2d+Cldz116d6+Ef3lu3bu1T2Z4ZGHK5nL1w4cKfVqxYcTAsLCwa6KxVVFZWmpubm1dWVFRYmJmZ\nVQGdNYeysrLup8uLRCIej8cTcblcsUgk4j24ncvlivtU8hegRdaC2LxYnC883xkO9cXdNQdLPUtM\n4EzAG15vYIHzAnD1H6kQkV7omhQXfTcaN8pu4F7dPbTIW6ClrgU7QztMt5uO0LGheMXxlR6PaC1v\nKsfR20dxtfQqrpZcRUl9CSZaTcRUm6nYOXsnfCx9qJOaDAsxd2Lw0bWPkF2dDWmHFADAgIGBpgFC\nx4XiHzP/gbEmYwe4lJ2eGhgqlYpZvXr1Xj6fn/vHP/7xi67toaGhsVFRUZHvvvvuJ1FRUZFdQRIa\nGhq7bNmyQxs3bvxMLBZzhUKho0AgSGEYRqWvr9+YnJzsKxAIUg4ePLhi/fr1u/r74h5U11aH2LxY\nxN2LQ0ZFBkoaStAqb4WGmga4elxM4EzAW95vUc2hj25LbuNoTuc6Vneq73Q3LVnoWcDD3ANveL2B\ncH44zHTNuo9RqVQoqi/CtZJr3QFxv/U+JltPxjSbaVg5YSU8LDygzup1Cyohg5JCocD+zP34IvkL\nCGuFkClkADoDwljbGPOd5uOfQf+Epb7lAJf08Z46Sur69euTp06detXNzS2rq9lp27ZtmwUCQUp4\nePix0tJS64eH1X788cfv79u3b5W6unrHzp07N8yaNes88N9htW1tbdohISFndu3atb5HQV7gKKnK\npkqczDuJS/cuIUuShbLGMkg7pN0d0m4cNwSNCcJ85/kwG2X27BOSxypvLMex3GO4UHgBtyT/XcfK\nWNsYzqbOmG47HeH88B5NSwCgVCmRU5WDa6XXOl8l16BUKTHVZiqmWE/BVJupcDFzAYuh5U3I0CZT\nyPDR1Y9w4NYBiJpE6FB2AABYDAtmo8wwb9w8fBr0KfQ19V9KeUb8xL3C2kL8fPdnXC2+iuyqbFQ0\nV0CmkGEUexSsDazhZeGFIPsghI4NpedK90GjtBE/3fkJ5wrOIbUiFaJGEWQKGXQ1dOFg7AB/nj/m\njZuHoDFBj6xj1d7RjtTyVFwvvY5rpdeQUJaA0TqjMcV6SufLZgo9epQMCzWtNXg37l2cLjiN6pZq\nKKEEAKgznQ/OinSLxHuT34Mme2CaU0dMYCiVSqRXpCM2PxbXS6/jbs1dVLVUQaFSQF9TH3aGdvC2\n9EawfTBedXwVOho0QuZ5STukOJN/Br8If0GKOKXHkGEbAxv4WPrg1bGvYu7YuY/9d66X1iOhLAHX\nS6/jeul1pFekY5zJOEyxnoLJ1pMx2XoyzHXNB+DKCHmxMioy8P6l95EoSuwxB0JTTROOxo74H7//\nwe89fj9ofgwNy8CQK+S4eO8izhScQYo4BQW1BahrqwMAGGsbw9HYEb48X7zi+Aqm202ntu0+6FB2\n4NK9S4jJi0GSKAkFtQVokjVBg6UBS/3OUWGzHWZjIX8hTHRMHjlepVKhtKEUN8pu4EbZDVwvvY57\ndffgbendHRD+PH9aIJEMCz/e+hE7knbgTs2d7g5qoHOIq5elFz6c9iGm200fwBI+3bAKDJevXVDS\nUIJmWTPUWeowG2UGZxNnTLSaiNBxofA096Rlu/tAqVQiviQeMXdjkChKhLBWiHppPdRZ6uCM4sCN\n44aZY2ZiEX/RE5fr7lB2IFuS3R0ON8puQKaQYbL1ZEyymoTJ1pPhYe5B6zCRIa+1vRUfXPkAx3OP\no7ypvLv/gQGD0dqjEWQfhO2B22FtOHSWth9WgTH/yHxMt52OUKdQ2BjQqqx9oVQqcb30OqLzopFQ\nloD8+/mol9Z3d7a5mLpgmu00vMZ/DeNMxj3xPI3tjUgSJSGhLAE3ym4gWZQMnj4Pk6wnYZJV58vB\n2GHQVLkJeV5ZlVn4669/xY2yG6iT1kGFznujOksd1vrWWOq6FH+d/FdoaWgNcEmf37AKjMFSlqGm\nKxxi8mO6w6Gura57eXRnE2dMs5mGhc4LHxmx9KCu4a1d4ZBQloDC2kJ4WXphotVETLKaBH+ePz1N\njgx5CoUCezP24uubXyP/fj6kiv82L+mwdTDebDzem/wewsaFDasfQxQYI4xSqcTV0quIzYtFQlkC\nhLXC7nAw1THtDocF/AVw47g99VzSDinSytOQUJaARFEiEsoSwGJY3eEwyXoS3M3doaGm8dTzEDLY\nVTRV4P1L7+N84XlIWiRQqjpHL7HAwmid0ZhpNxMfBX4EOyO7AS5p/6LAGMY6lB24WHgRp4WnOzuk\n6wrQIG0Ai2HBdFRnOEy1noowpzC4W7g/83yiRhESyxKRIEpAYlkisquy4WziDH8rf/jz/DHJahKs\nDayH1S8qMjIdv30c/0z8J3Kqc3osr6GhpoExRmOwxmMN3vF5BxrskfVjiAJjmGiVteJcwTmcLTiL\nm+U3UVRfhMb2xu4Oab4pH1NtpmK+83y4mLo883ztHe1Ir0hHoiix81WWiHZFO/x5neEw0WoivC29\nMUpj1Eu4OkL6T1VzFf52+W84LTzd/TAy4L/La/hb+WNrwFb4cH0GuKQDjwJjCKptrUVMXgwu3ruI\njMoMlDaUdq5hxdKAhZ4FXExdMMNuBsKcwmBvbP/M86lUKpQ1liGxLBFJ4iQkiZKQJcnC2NFjuwPC\n38qfJseRIU+hUODw7cP4MuXLR2sPLA1YG1hjmesybJ60eUh3TvcXCoxBrqS+BCfvnkR8cTyyJdkQ\nN4nRrmiHtrp259Lo5hMww3YG5jvP7/VkthZZC9Iq0pAkSup+KVQK+PH8ugPCy9ILuhq6/Xx1hPSv\nwtpCfPDrB7hUfAnVrdXdfQ8MGBhqGcKf548Ppn0AX57vAJd0aKDAGCSUSiVult/EqfxTSChLwN37\nnTPRO5Qd0NPQg62hLTwtPBFkH4S5jnOhr9W7tWOUKiXyavKQLE5GsjgZSaIk5N/Px3iz8fDn+cOP\n5wdfri9sDW2p9kCGNJlChs8SPsPBrIO4V3evx8glTTVNjDEagxVuK7DRb+OALa0x1FFgDABphxTn\nC853L4teWFfYYya6g7EDfLm+mOMwBzPsZvRYtvtZJM0SpIhTugPipvgmRuuMhi/XF75cX/jx/OBu\n7k5Le5Mh73zheXx6/VOkVaShsb2xe94Di2HBRMcEM2xnYGvA1kGztPdwQIHRz8obyxGTF9P5XGjJ\nLZQ1lqFV3go2iw2OLgd8Ez4mWk3EvHHz4MZx+00z0VvlrUivSEeyKBkp5SlIFiWjob0BAq4Avlxf\nCLgCCLgCWlGXDHlFdUXYcnkLLhZdhKRF0t0xDQC6GrpwMXXBBr8NWOKyhGrK/YgC4wVRKpVIFCXi\nbMFZJJYl9mhS6lr51o3jhum20zF37NzfvF59h7IDudW5SBGndL+6mpa6gsGX6wvH0Y60rDcZ0prb\nm7H9+nacuHMCxfXFaFe0d3+moaYBa31rhLuEY/OUzdTP9pJRYDyH2tZanBKewq9FvyKjMgMl9SVo\nbG8Ew3SuEWNvbA8fSx/MdpiNmXYzf1OTEtA5aule3T3cLL+Jm+U3kSJOQUZFBnj6PPhwfbprDxM4\nE6hpiQxpXTOm/53+b9ypudNj1JIao9bdtPRhwIdPXYKGvBwUGE/R1RF9VngWiaJE3Km5A0mLBDKF\nDFrqWrDUtYSLmQsmW0/G3LFz4Wzq/FzfU9FU0SMcUstToa2uDR+uDwSWAvhwfeBt6Q1DLXoeBxna\nTuWdwj8T/4lblbfQ0N7Q3e/QNefB29IbG/03YrbDbGpaGoQoMP6jqrkKp4WnEV8cj0xJZo9ag5GW\nEewM7eBl4YUZY2YgxDHkuavC91vvI7U8FanlqbhZfhOp5alo62iDj6UPfLg+nX9a+tBjXsmQd730\nOrZf345kUTJqpbU9hrSOYo+Cs6kzXvd6Has9VlMz6hAx4gKjQ9mBK8VXEFcYh5vlN5F/Px9VLVWQ\nK+XQVteGhZ4FxpuOxyTrSQhxCHnqYnvPUi+tR3pFendApJanoqa1Bl6WXvC29O4OBxrSSoa69PJ0\nfHz9Y1wvvY6a1poendLa6tqwN7LH0vFLsdFvI02IG8KGdWDk1eThbMFZXC+9jttVtyFuFKNZ3gw1\nRq27r8Hb0huBdoEIGhPUp6fsNbY3Ir0iHWnlaUitSEVaeRrKm8rhbu4Ob0vv7tfY0WPp1xQZ0rIq\ns/DRtY9wrfQaqluru5/zAHTOd7A1tMW8cfPwl6l/eWnPmiYvx7AKjNUxq5FZmYmi+iLUS+uhVCmh\np6EHKwMruJm5YYrNFLzi+ApsDPv2rIwGaQMyKjOQVp6GtIrOl7hRDDeOG7wtveFl0VmDcDJxghpL\n7QVdISEv363KW/j4WmfNoaq1qkc4aKhpwErfCq84voK/Tv0rTEeZDmBJycswrALD5nMbOJk4wY/r\nhyD7IPjz/Pv8hL26trpHwqGiqQJuHDd4WXr1CAd61CsZylLFqdh+YztulN1AdUt1j2YlDTUNWOlZ\nIcQxBH+Z+hdwdDkDWFIyUIZVYPS1LNUt1UivSO9sWqpIQ3pFOqpbq+Fu7g5PC094WXQGxDiTcRQO\nZEi7WHgRXyR/gRRxCmrbanuEg6aaJnj6PLzq+Cren/o+Tfwk3UZkYKhUKogaRciozOgOiIzKDDS1\nN8HDwgNeFl7wtPCEh7kHxo4eS81KZMhSKBQ4kXsC36Z9i0xJJhraG7pHKwGAlroWbAxsEDouFJsn\nbYaRjtEAlpYMdsM+MJQqJYT3hciozOh8VXSGhBpLrTsUPMw94GXpBTtDOxqtRIas9o52fJ3yNQ7d\nPoT8+/loljX3mOegw9aBvZE9lrgswQa/DX0a5EFGpn4NjFWrVu07ffr0K2ZmZlXZ2dmuALBly5Yt\ne/bsWWNqaloNAB9//PH7c+bMOQsA27Zt27xv375Vampqil27dq0PDg6OA4C0tDSvlStXfi+VSrVC\nQkLO7Ny5c8NjLkQllUtxu+o2MiszuwMiS5IFEx2T7mDwtPCEh4UHLHQtKBzIkCVpkmDbjW04W3AW\npQ2lkHb8d2VWBgz0NfXhbOKMVR6rEOkWOeKeDEf6R78GxrVr16bo6uo2R0REHOgKjK1bt36op6fX\ntHHjxs8e3Dc3N5e/bNmyQzdv3vQRi8XcmTNnXhQKhY4Mw6gEAkHKV1999bZAIEgJCQk5s379+l2z\nZ88+99CFqLT/rg0HYwe4m7vD3dwdHuYecDd3h5E2VbPJ0JVYmojPkj5DYlkiqlo75wx1UWPUYKxt\nDG8Lb7zj+w7NkCb9qq+B8dSe3ylTplwrLi62fXj7474wJiZm3tKlSw+z2Wy5ra1tsYODQ0FycrKv\njY1NSVNTk55AIEgBgIiIiAPR0dFhDwcGANS+WwstdZoURIYmhUKBvel7EZUVhdzqXDTKGnv0N2iw\nNGCpZ4npdtPx7sR34WTqNIClJeS3e66hQl9++eU7Bw4ciPD29k7dsWPHJkNDw/ry8nJLPz+/pK59\neDyeSCwWc9lstpzH44m6tnO5XLFYLOY+7rzb/769+31AQAACAgKep3iE9LuSuhJ8mvApLty7gLLG\nskealEaxR8HVzBXzneZjo/9G6GnqDWBpyUgVHx+P+Pj4F3a+3xwYa9eu/eaDDz74PwD429/+9v82\nbdq0Y+/evatfRGG2bNnyIk5DyAujUChwPPc49qTvQVZV1iNDWNUZdRhpG2Ga9TS85fMW5o2bR01K\nZNB4+If31q1b+3S+3xwYZmZmVV3v16xZs2fu3Lm/AJ01h7KyMquuz0QiEY/H44m4XK5YJBLxHtzO\n5XLFfSo1If2gqK4IOxJ34MK9CxA1iNDW0dZjlJKWuhbsjewRbB+MP038U59XHCBkqPnNgVFRUWFh\nYWFRAQAnT56c7+rqmg0AoaGhscuWLTu0cePGz8RiMVcoFDoKBIIUhmFU+vr6jcnJyb4CgSDl4MGD\nK9avX7/rRV8IIb0lV8gRlRmFg1kHkVOdg3ppfY9agxqjBiMtIwi4AqzyWIXlbstp/TBC8IzAWLp0\n6eErV65Mq6mpMbGysirbunXrh/Hx8QGZmZnuDMOo7Ozsir799ts3AYDP5+eGh4cf4/P5uerq6h27\nd+9exzCMCgB27969buXKld+3tbVph4SEnHlchzch/SFZlIydyTtxo+wGJM2SHk9/Y8BAm905Mm+2\nw2xs8tsEK0Orp5yNkJFt0E/cI6Q3yhvLsSNpB+IK4lBcX4wWeUt3cxIAsFlsmOiYwMfCB296v4k5\njnOor4GMOMN+pjchD2ptb8V3Gd/heM5x3K25i4b2hkeak/Q09TDWeCwWOS/CWsFaem40If9BgUGG\nJYVCgcO3D+Ng9kHcqryF2rbaHhPeupbKsNK3wkz7mdjotxF2RnYDWGJCBr9+nbhHSH9TKBT4Jf8X\n7Mvc1726sEwh6/6cAQNNNU1w9biYZDUJ7/i+A1+e7wCWmJCRiwKDvBQKhQIXii7g3+n/xk3xTVS1\nVPXogAY6Z0Kb6JjA29Ibqz1WY+64udTPQMggQoFBXiiFQoG4wjh8l/Ed0srTnhgMo3VGw53jjgj3\nCLzGf42WoCdkCKDAIM+l6zkNB7IO4JbkFmpaa54YDK5mrljhtgLh/HBadZWQIYwCgzxVm6wN+zP3\n46c7PyGnOueRzmeg8/GfpjqmcOO4IdI9EgvGLQBbnT1AJSaE9BcKDAIAqGquwlcpX+F84XkU1BY8\nMly1q/PZQs8CXuZeWO2xGiFjQ6iPgZARhIbVjjBp5Wn4V+q/cL3sOkSNIrTKWqHEf5fg7hquytXj\nYqLVRLzh+Qb8rPwoGAgZBmgeBnmETCHD4ezDOJZzrLt/QaaQ9Zj5rMaoQU9DD3ZGdphpNxN/EPyB\nFtMjZJijeRgjWMH9AnyT+g1+Lf4VJfUlaGxv7NGMBHT2L4zWHo3xpuOxwGkBVrqvhJYGPaSKEPLb\nUQ1jkJMpZDiUfQjHc44juyob1a3VaO9o71FbYIHV2Yykz4Ufzw+rPVZjsvVkakYihPRANYxhIlWc\nij3pe7r7FpplzY/WFlgaMNI2wjjLcXjF8RW87vk6jHToeeeEkJeDahgvUWVjJb7L+A7nC85DWCtE\ng7QBMqWsxz5qjBpGaYwCT48Hf54/Vrmvgr+1P9UWCCF9RjWMQaa1vRVRWVGIyYtBTnVO54S2h5qQ\nGDDQVNcER5eD8Wbj8Rr/NSwbvwyabM0BLDkhhDwdBcZzaO9ox9HbR/Hz3Z+RJcmCpEUCqVz6yPBU\nNosNI20jOJo7ItA+EG96vgkLfYsBLDkhhDw/apJ6AplChp9zfsbxO8dxS3ILkmYJWjtaoVQpe+zH\nZrGhr6kPW0NbTLGegjWea+Bi5jJApSaEkCejeRh90N7RjsPZhxGTF9NdU2jraHskFNRZ6tDT0IO1\ngTX8rTr7FbwtvalfgRAypFAfxjM0tTdhf+Z+nC04izvVd1DdWg1ph/SJoeBg7AA/rh9WTlgJXytf\nCgVCCPmPYVHDKKkrwb7MfbhcfBkFtQWobat9ZGYz0DksVV9TH9aG1phqPRURbhHwsPR4EcUnhJBB\nb0TUMBQKBeJL4nHk9hGklKdA1ChCU3vTI6umMmCgoaYBIy0jOBg7IMA2ACsnrIT9aPsBKjkhhAwf\ngyowdiXtwvnC88itzkV1a/Vj+xNYDAva6trg6nHBN+UjxDEEK9xWQF9Lf4BKTQghI8OgapLCls73\nbBYbuhq6sNK3go+lDxbxF2GWwyzqTyCEkD6gUVKEEEJ6pa+BwXrah6tWrdrH4XAkrq6u2V3bamtr\njYOCgi6MHTs2Pzg4OK6+vt6w67Nt27ZtdnR0FDo5Od2Ni4sL7tqelpbm5erqmu3o6CjcsGHDzuct\nLCGEkIHz1MD4/e9/v//cuXOzH9y2ffv294KCgi7k5+ePDQwMvLR9+/b3ACA3N5d/9OjRxbm5ufxz\n587NXrdu3e6uJFu7du03e/fuXS0UCh2FQqHjw+ckhBAy+D01MKZMmXLNyMio7sFtsbGxoZGRkVEA\nEBkZGRUdHR0GADExMfOWLl16mM1my21tbYsdHBwKkpOTfSsqKiyampr0BAJBCgBEREQc6DqGEELI\n0PGbR0lJJBIOh8ORAACHw5FIJBIOAJSXl1v6+fklde3H4/FEYrGYy2az5TweT9S1ncvlisViMfdx\n596yZUv3+4CAAAQEBPzW4hFCCPmP+Ph4xMfHv7Dz9WlYLcMwKoZhXlhP9YOBQQghpG8e/uG9devW\nPp3vqU1Sj8PhcCSVlZXmAFBRUWFhZmZWBXTWHMrKyqy69hOJRDwejyficrlikUjEe3A7l8sV96nU\nhBBCXrrfHBihoaGxUVFRkQAQFRUVGRYWFt21/ciRI0tkMplGUVGRnVAodBQIBCnm5uaV+vr6jcnJ\nyb4qlYo5ePDgiq5jCCGEDCEqleqJryVLlhy2sLAoZ7PZMh6PV7Zv377f379/3zgwMPCio6NjflBQ\nUFxdXZ1h1/4fffTR+/b29gXjxo27e+7cuVld21NTU73Gjx+fbW9vX/DOO+/setx3dRaFEEJIf/nP\nffap9/2nvWjiHiGEjBD9OnGPEEII6UKBQQghpFcoMAghhPQKBQYhhJBeocAghBDSKxQYhBBCeoUC\ngxBCSK9QYBBCCOkVCgxCCCG9QoFBCCGkVygwCCGE9AoFBiGEkF6hwCCEENIrFBiEEEJ6hQKDEEJI\nr1BgEEII6RUKDEIIIb1CgUEIIaRXKDAIIYT0CgUGIYSQXqHAIIQQ0isUGIQQQnqFAoMQQkivUGAQ\nQgjplecODFtb22I3N7csDw+PDIFAkAIAtbW1xkFBQRfGjh2bHxwcHFdfX2/Ytf+2bds2Ozo6Cp2c\nnO7GxcUFv4jCE0IIeXmeOzAYhlHFx8cHZGRkeKSkpAgAYPv27e8FBQVdyM/PHxsYGHhp+/bt7wFA\nbm4u/+jRo4tzc3P5586dm71u3brdSqWSajeEEDKE9OmmrVKpmAf/HhsbGxoZGRkFAJGRkVHR0dFh\nABATEzNv6dKlh9lsttzW1rbYwcGhoCtkCCGEDA3qz3sgwzCqmTNnXlRTU1O8+eab377++uv/lkgk\nHA6HIwEADocjkUgkHAAoLy+39PPzS+o6lsfjicRiMffhc27ZsqX7fUBAAAICAp63eIQQMuLFx8cj\nPj7+hZ3vuQPjxo0bkywsLCqqq6tNg4KCLjg5Od198HOGYVQMw6iedPzjPnswMAghhPTNwz+8t27d\n2qfzPXeTlIWFRQUAmJqaVs+fP/9kSkqKgMPhSCorK80BoKKiwsLMzKwKALhcrrisrMyq61iRSMTj\ncrniPpWcEELIS/VcgdHa2qrT1NSkBwAtLS2j4uLigl1dXbNDQ0Njo6KiIgEgKioqMiwsLBoAQkND\nY09izRUAAAoASURBVI8cObJEJpNpFBUV2QmFQseukVWEEEKGhudqkpJIJJz58+efBICOjg715cuX\n/xgcHBzn7e2dGh4efmzv3r2rbW1ti48dOxYOAHw+Pzc8PPwYn8/PVVdX79i9e/e6pzVXEUIIGXwY\nlWpw3LcZhlENlrIQQshwxDDMI6NbfwuaC0EIIaRXKDAIIYT0CgUGIYSQXnnueRiEEEI6qVQqdCg7\nIFfKIVfIIVPIIFf+50+FvMf7rs8e3P7wZw8eJ1fIIVM+eZ8H//6sffqKOr0JIQNKpVJBoVL0uEE+\n7qbZ220P35C7bri/9VxPu8E/7r0aowa2Ghsaahpgs9iPff/g3x/eR1Nd84nHsVnsx+7T9ZmGmkb3\nOR93nq7P7Y3t+9TpTTUMQoagx91kH/yF+/DNrEPZ8cjNsdd/PuEzmULWq+980g33wWMB9LjpPXzT\nfPim+Fu3sdXYGMUe9dTzP+lG/bRyPfiexQz/Fn6qYZBhT6lS9rhhPnzz7LpxPe6m2pvjemxTPXn/\nJ533eT9jMaxHbnjqLPUn3hDVWeqPvZH26s9e7PO4G7U6S/2JN/UHy6PGUhvo/0xGhL4Oq6UaBoHy\n/7d39zFNpHkcwJ9Cy3K+RA4jIBRC00JLIfIS1F1zl/MErpzhRcV4gAseon9oyJ2esuje35RyxD3J\nmf1nAwtBF4y7ZEEDFQhHNAHWNYXNHgUFdzjL614QcmIkpfDcH96YsbY4aaEjw/eTPEnnpTPPl5Df\nbzptgS47LJyOCqlt2fbGdj7PeWv9Cvs7W3ZUoPmec5kuv1FI7Ysnn8fO1jk6Lnsla79tpefxLerc\n522EK1p4v6BhOMC+3GcLIndwC6Wzgulom6Nj2G/jXqG+69jOCqazc6y0HyX0jYLELUrsY7aQrbTd\n2T6Ojr1JuolIfaROj8GnkDubi/05vSXeRCJx+aIKAP7vvWoYn/V8xqvgcgugfWF3VLT5HMd+H/bl\nvreX9+sixT6Wectev8HFLVr2RZO7z0pFlXtsHy8fskm66a1jOCuUztbxKfDsOXE7AAD4eK8axth/\nx14XOLaY+Up93ypw7D72+65UsB0VSu7+9vvi5T4AwJvwpjcAwAaBvyUFAAAegYYBAAC8oGEAAAAv\naBgAAMALGgYAAPCChgEAALygYQAAAC9oGAAAwAsaBgAA8IKGAQAAvKBhAAAAL2gYHtbV1SX0FNbc\nRshICHKKyUbIuBo82jCMRmOqRqMZioiIGC4vLy/x5LnfFxvhF3MjZCQEOcVkI2RcDR5rGEtLS95F\nRUXXjEZjqtls1tbX1+cMDg5Geer8AADgHo81jAcPHuxRqVQj4eHhozKZbDE7O7uhqakp01PnBwAA\nN1FKPTJu3bp19NSpU1+wy3V1dR8XFRX9g10mhFAMDAwMjLUd7tRxj/3HPYlEQlfa7s4/9QAAgLXn\nsVtSISEh4xaLJZRdtlgsoXK5fMxT5wcAAPd4rGEkJiY+HB4ejhgdHQ23Wq0+N2/e/ENGRkazp84P\nAADu8dgtKalUart27VqRTqe7u7S05F1YWFgVFRU16KnzAwCAmzz1pvdKo7W1NVWtVg+pVKphg8FQ\nIvR8Vms8ffo0dP/+/f/UarUD0dHR/6qsrPwTpZTMzMz4Jycnt0dERDxOSUlpm52d9RN6ru4Om83m\nHRcX15eWlnZbrBlnZ2f9srKyvtZoNINRUVHm3t7evWLLqdfrL2u12oGYmJgfc3JyvlpYWPhADBkL\nCgqqAwICpmNiYn5k162US6/XX1apVMNqtXro7t27vxN6/u7kvHjxYoVGoxnctWvXD4cPH26cm5vb\n5mpOwQPabDZvpVI5wjBMuNVqlcXGxvabzeYooee1GmNycjKor68vjlJKnj9/viUyMvKR2WyOKi4u\n/lt5efknlFJiMBhKSkpKDELP1d1x5cqVv+Tm5t5IT09vppQSMWbMz8+vraqqOkkpJYuLi9K5ublt\nYsrJMEy4QqH4aWFh4QNKKTl27NjNmpqaE2LIeO/evV+bTKZ4biF1lmtgYEAbGxvbb7VaZQzDhCuV\nypGlpSUvoTO4mrOtrS2FnX9JSYnBnZyCB+zu7v5Ip9MZ2eWysrJLZWVll4Se11qMzMzMb9vb25PV\navXQ1NRUIKWvmoparR4Sem7uDIvFIk9KSuro7Oz8LfsKQ2wZ5+bmtikUip/s14sp58zMjH9kZOSj\nZ8+e/XJxcVGalpZ2u62tLUUsGRmGCecWUme59Hr9Ze6dDp1OZ+zp6flQ6Pm7mpM7GhsbDx8/fvy6\nqzkF/1tS4+PjIaGhoRZ2WS6Xj42Pj4cIOae1MDo6Gt7X1xe/d+/e76anpwMDAwOnCSEkMDBwenp6\nOlDo+bnj/Pnzf6+oqCj28vJaZteJLSPDMIodO3b8p6Cg4MuEhATT6dOnv3jx4sVmMeX09/d/duHC\nhSthYWFPg4ODJ/z8/OZSUlLaxZSRy1muiYmJYO4nOMVUk6qrq08ePHiwhRDXcgreMN71/QwxmJ+f\n35KVlfVNZWXln7du3fqcu00ikdD1/DO4c+dOWkBAwM/x8fF91Ml3adZ7RkIIsdlsUpPJlHD27NnP\nTSZTwubNm18YDIZL3H3We84nT54or169em50dDR8YmIieH5+fsv169c/5u6z3jM6865cYshcWlr6\nVx8fH2tubu5XzvZ5V07BG4bYv5+xuLgoy8rK+iYvL6/u0KFD3xLy6mpmamoqiBBCJicndwYEBPws\n7Cxd193dva+5uTlDoVAwOTk59Z2dnQfy8vLqxJSRkFdXX3K5fGz37t3fE0LI0aNHvzaZTAlBQUFT\nYsn58OHDxH379nVv3759RiqV2o4cOdLY09PzkZgycjn7HbWvSWNjY/KQkJBxoea5Gmpqav7Y0tJy\n8MaNG8fZda7kFLxhiPn7GZRSSWFhYZVWqzWfO3fuKrs+IyOjuba29gQhhNTW1p5gG8l6pNfrP7VY\nLKEMwygaGhqyDxw40FlXV5cnpoyEEBIUFDQVGhpqefz4cSQhhHR0dCRHR0cPpKen3xZLTo1GM9Tb\n2/vhy5cvf0EplXR0dCRrtVqzmDJyOfsdzcjIaG5oaMi2Wq0+DMMohoeHI/bs2fNA2Nm6zmg0plZU\nVBQ3NTVl+vr6LrDrXcop9Bs0lFLS0tLy+8jIyEdKpXJEr9dfFno+qzXu37//K4lEshwbG9sfFxfX\nFxcX19fa2po6MzPjn5SU1LGeP6boaHR1df2G/ZSUGDP29/fHJiYmfs/9eKLYcpaXl3/Cfqw2Pz+/\n1mq1ysSQMTs7u37nzp0TMpnMKpfLLdXV1QUr5SotLf1UqVSOqNXqIaPRqBN6/q7mrKqqOqlSqYbD\nwsL+zdagM2fOfO5qTgml6/7WHAAAeIDgt6QAAGB9QMMAAABe0DAAAIAXNAwAAOAFDQMAAHhBwwAA\nAF7+B5yckVYoxB4SAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1065036d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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4j/WW+nEIoGcrjuTyZFzIuYALuReQV5cHH3MfzLWai1kWs+igIdInMC4QO2N2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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10655d490>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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iXO45pFeko66tDjoaOnAY7oBFbouwZOSSPvmfp1najP1p+3Es8xiSSpNQ3VIN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\nmc9mbQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x106597d90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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xiqxMLoOZrhkCOAFY4bYCi50Xj8qO3x55D1IEKbhadhVXS6+iuL4YIdYhiLCL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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1065f33d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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fUn5CbUctAECeIw9nfWf8PPtnTDCZwGp5zxsKDELuImWkuFJyBeE3wxFXEidb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\nkVKegvSKdPA0efDkeoJvzIcn1xPuhu6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HUPq2qWi12gGh5+bLsNlsyuTk5Na2trZfsr9h\niK3G6enpDSqV6vvF28VU5+TkZFB0dPTjFy9e/NRut8syMjLutLS0pIqlRqvVGskNUnd1GQyGS9wr\nHWlpaabOzs6PhJ6/t3Vyx+3btw8ePXr0mrd1Cv5vSY2MjISFh4fb2HWlUjk8MjISJuSc3oehoaHI\nnp6e7bt27frHxMRESEhIyAQhhISEhExMTEyECD0/X5w9e/bPFRUVFwICAubYbWKr0Wq1qjZv3vyf\nwsLCvyUmJppPnjz5xatXr9aKqc6goKAX586duxwREfF869atoxs3bpxOTU29L6YaudzVNTo6upV7\nB6eYMqm6uvr4vn37mgjxrk7BG8ZS388Qg5mZmXXZ2dlfV1ZW/n79+vUvufskEgldyX8Gd+/ezQgO\nDv5h+/btPdTNd2lWeo2EEOJwOGRmsznx9OnTn5vN5sS1a9e+MhqNF7nHrPQ6nz17pr5y5cqZoaGh\nyNHR0a0zMzPrrl279gn3mJVeoztL1SWGmktLS/+oUCiYvLy8L90ds1SdgjcMsX8/w263y7Ozs7/O\nz8+vO3DgwDeEvH03Mz4+HkoIIWNjY1uCg4N/EHaW3uvo6Njd2NiYpVKprLm5uTfa2tr25ufn14mp\nRkLevvtSKpXDO3bs+JYQQg4fPvyV2WxODA0NHRdLnd3d3Um7d+/u2LRp06RMJnMcOnTodmdn58di\nqpHL3Wt0cSYNDw8rw8LCRoSa53Koqan5bVNT077r168fZbd5U6fgDUPM38+glEqKioqq9Hq95cyZ\nM1fY7VlZWY21tbXHCCGktrb2GNtIViKDwfCZzWYLt1qtqvr6+py9e/e21dXV5YupRkIICQ0NHQ8P\nD7c9efIkmhBCWltbU2JjY/syMzPviKVOnU430NXV9dHr169/QimVtLa2puj1eouYauRy9xrNyspq\nrK+vz2EYRmG1WlWDg4NRO3fufCTsbL1nMpnSKyoqLjQ0NOxfs2bNLLvdqzqF/oCGUkqampp+HR0d\n/VitVj81GAyXhJ7Pco2HDx/+TCKRzMXHx/cmJCT0JCQk9DQ3N6dPTk4GJScnt67k2xRdjfb29l+w\nd0mJscbe3t74pKSkb7m3J4qtzvLy8k/Z22oLCgpqGYaRi6HGnJycG1u2bBmVy+WMUqm0VVdXF3qq\nq7S09DO1Wv1Uq9UOmEymNKHn722dVVVVxzUazWBERMS/2Qw6derU597WKaF0xV+aAwAAPxD8khQA\nAKwMaBgAAMALGgYAAPCChgEAALygYQAAAC9oGAAAwMt/AWhwxgATdC5gAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10662b290>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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/oUZR07i/F78X/Bz88IPfD93+SoioDwUGUbuy2jIcTTqKM+lnEJcfh8LqQgCA\nmYEZBpsNxlSHqVjgugC9dXt3SXkUjOJ/s7lzryOvIg8sWAgNhRhpORLzBs3DdMfp3WpF1ydhGAbf\n3voWn/75KQqrChvXaOJyuHDs64hvpnwDXxtf9RaS9BgUGKRLsSyLaHE0jt47iivZV5D+OB1V8ir0\n4vWCrYktRluNxrxB8/CS5UtdNnO5RlaDY0nHcCr1FGLzYxtnc1v1tsIoq1EIdA3EWJux3XImdWvi\n8uPw+unXcUdyp/GhQgBgomuCt7zfwj99/wket/uHHel+KDBIpyqtLcWxpGM4m34WcQVxKKgqAMuy\nEBgI4CnwxGT7yVjgugD99ft3WZmKqopw6M4h/Hb/NyRKEhtmc3N1YWtiizE2YxDkEdRlo6k6gvI2\n05n0M80W8dPh6mCM1Rjs89tHndWkQ1BgkA7DMAz+zPmzcWJcRkkGquXV6MXvhYF9BmKU5SjMGTQH\nr1i90qW/1lOKU3Aw8SAuPryIlEcpqJZXw1DbEM79nTHRdiKWeS7rVo8dfRaGYbD1z63YGbMTj2oe\nNbvNZGdih12TdmGC3QQ1l5JoIgoM0mZ55Xk4mnQU5x+cxx3JHRRVF4HD4cDMwAxeZl6YbDcZ8wbN\nQz/9rnuOAcMwiMqKwpF7R3Al5wqySrMgY2Toq9cXXmZe8HP0w0K3hTDp1XnPo+gMp1NP4/0L7yOj\nNAMMywBoGM3Ur1c/vOPzDi0FTroEBQZRSZ2iDr/d/w1haWGIEccgqywLdfV1jSOXRg0Yhfmu8+Ej\n9OnSYZjK/oewtDDE5seisKqhw1xkJIKP0AdzXObA39G/2y7U9ySpxalYEb4CsfmxzSbN6fP1Mc1h\nGr6d/C366PdRYwnJi6hTA2P58uXBZ86cmWpqalp09+5dNwDYtGnTph9//PG1/v37FwPAli1bPpo8\neXIEAGzduvXD4ODg5Vwut37Xrl1rJkyYcB4Abt++PWTp0qUHpFKp7pQpU87u3LlzbSsVocDoQPEF\n8TiWdAx/ZP2B1MepKJOWga/Fh8hIhKHCoZhmPw2znGd1+oOBWsouy8bBxIM49+AckoqTUCYtgy5P\nF7Z9GjrMA90CMVI0ssd0UCuV1JTg9dOvI/JBJGrk/xvuytfiw9vcG99P/x6uAlc1lpCQTg6MP//8\nc5SBgUFVUFDQQWVgbN68+V+GhoaV69at+6LpZ5OTk10CAwN/jo2NHSoWi4Xjxo27mJ6ebs/hcFgf\nH5+Yr78xBXLLAAAeZklEQVT++m0fH5+YKVOmnF2zZs2uSZMmRbaoCAVGGxVWFuJ48nGcyziHBEkC\nJFUSMCyDvr36wtXUFeNsxmG+63zYmth2abkYhkFUdhSO3zuOKzlX8LD0Ierq62CsawxXU1dMtJ2I\nxe6Lu+XjRp9FKpPig4sf4Kc7PzWbVc3lcDGwz0B8Pv5z+Dn5qbGEhPxVewPjqWPzRo0a9WdWVpZ1\ny/2tnTAsLGzGggULjvD5fLm1tXWWnZ1dRnR09DArK6vsyspKQx8fnxgACAoKOhgaGurfMjCIamrl\ntQi/H47f7v+GWHEsssuzIVVIYaBtANs+tvB39EeAcwB8rX27/Fd6hbQCR5OO4nTaadwuuA1JtQQA\nYGFoAW8Lb2x4aQPmuMzpETOoW2IYBtuubcOu6F0oqi5q7KjmgANzA3NseGkD1gxbQ7OqiUZr02Du\n3bt3v3Pw4MEgb2/vWzt27FhvbGxclp+fbzF8+PCbys+IRKI8sVgs5PP5cpFIlKfcLxQKxWKxWNja\ncTdt2tT42tfXF76+vm0pnsZgGAZXsq/gVOopXMu9hvSSdFTUVUCbqw2RkQjeFt7YOGoj/J38Yahj\n2OXlSyxMxM93f8blrMtIe5SGSlkl9Hh6sDOxw0znmQh0DcQI0Yged3sJaPhvH5wQjH//8W/kVeSB\nAdP4nomuCZZ6LsXWsVt7XN8KebFERUUhKiqqw4733IGxatWqb//5z3/+HwD84x//+Pf69et37Nu3\nb0VHFKZpYLyI7kru4pekX/BH9h9IfpSMxzWPweFwINAXwF3gjnmD5mGe6zwM6D2gy8smVUhxMuUk\nwlPDESOOQV5lHuqZevTr1Q8eAg9s8t2EQLdAmBl0zWKBneFE0gl8eOlDZJZlNq7LBACG2oaY4TgD\ne6buUUswE9JWLX94b968uV3He+7AMDU1bVxM/7XXXvtx+vTpp4GGK4fc3FxL5Xt5eXkikUiUJxQK\nxXl5eaKm+4VCobhdpdYAOeU5OJ50HJceXsKdojuN/Q4meiZw6ueE1we/jtnOszHYYrBaypdSnILD\ndw/jUuYlpBSnoLyuHDpcHVgbW8PX2hdzBs3BBNsJPWJ5jSc5k3YGH1z8AOmP05vNqNbn62OszVh8\nP+17CAwFaiwhId3Lc/+/vaCgwNzc3LwAAE6dOjXTzc3tLgD4+fmFBwYG/rxu3bovxGKxMD093d7H\nxyeGw+GwRkZGFdHR0cN8fHxiDh06tHjNmjW7Oroi3dmj6kc4kXIC5x6cQ2JhIvIq8iBn5DDUNoSt\nSUO/wwzHGRg7cCy4WtwuL5/y6uF02mnEiGOQW5ELBaOAiZ4JXE1d8cHID7DQbSGs+1h3edk60sWH\nF/HeufeQWpzaLCD0eHrwtfTFd9O+w0CTgWosISHd21MDY8GCBUf++OOPVx49etTP0tIyd/Pmzf+K\nioryTUhI8ORwOKyNjU3md999txIAXFxckufOnXvcxcUlmcfjKfbs2bOaw+GwALBnz57VS5cuPVBb\nW6s3ZcqUs5rc4V1RV4FTKacQmRGJ2wW3kVuRC6lCil78XrA2tsYrVq9gmsM0TLWfCl2+ep7xnFCQ\ngGNJxxr7HsrryqHN1W5Ye2nAKMxynoWpDlN79NUDAFx8cBHrzq9DSnFKs4DQ5eriJeFL2Dt1L5xM\nndRYQkJ6Fpq41w7VsmqEpYUhMiMSt/JvIbs8GzXyGujydDHAaAAGmw/GZPvJmOE4o8tWam2pTFqG\n40nHG9eCyq/MB8My6NerHwb1H4QJthMQ6BbYI4e2thR5PxLvX3wfaY/SmgWEDlcHPkIffDvlWwwS\nDFJjCQlRL5rp3UVq5DU4ff80ItMjEZsfi6yyLFTLq6HD1YHQSAgvMy9MsJ2AWU6zunQpjaYYhsHl\nrMs4mXwS13Kv4UHpA9TIa6DH04OtiS1eEr2Emc4zMX7g+B45cqmlk0knsfHyRjwoffCXK4ihFkPx\n7VQKCEKaosDoBDWyGpxO/2s4aHO1ITQUwkPggXEDxyHAOaDLHiHamvTH6TiWdAyXHl7CveJ7eFzz\nGFocrf+tBWU/GXMHzUW/XuoJsI7EMAz2J+zHlj+3ILs8u9koJj2eHoaLhuPbKd/Csb+jGktJSPdG\ngdFOlXWVDVcO/+1zyC7LbhYO7gJ3jLMZh1kus2BhaNHl5VMqk5bhRPIJRGRE4Hb+beRX5kPOyGGs\nawynfk7wtWoYuTTYXD2jqjoawzD47Ppn2B2zGwWVBc3mQfTi9cJoq9HYO3UvrPr0/FtphHQVCozn\nUFpbivC0cJx7cA7xhfHIKc9Bjbym8baSp8ATY2zGqP3KQcEoEJkRibDUMNwU38TD0oeNfSM2xjYY\nJhoGPwc/TLWfqjETx2pltfjw8oc4fOcwHtc+bpxJDTTMg5hkNwnfTP4G/Q267rkbhGgaCownKKws\nxKm0U7j08BISJQ1DWaUKKXR5urA0soSXmRfGDhyLmU4zu/ThPy0xDIPY/FicTDmJK9lXcP/xfZRK\nS8HT4sHC0AKeAk9MspuEOYPmaMStJaWiqiK8dfYtnHtwDpWyysb9HHDQR68P5rrMxecTPu/yxREJ\n0WQUGAAyHmfgVOopRGVHIakoCQVVBZDVyxqHsg42G4xxtuPg7+ivttFKSumP03E86TguZ15GUnES\nimuKwbJs46ilMTZjMHfQXDj206x78QkFCVgTsQaxBbGQKqSN+7WgBYGBACsHr8RHoz4Cn8dXYykJ\n0WwvVGAwDINb+bcQfj8c13OvI+VRCoqri1HP1sNIxwgDjQdiiMUQTLabjCn2U6DH1+ui0rcuvyIf\nJ1JO4OLDi0goTEBBVQEUjALGusawN7HHywNeRoBzQI9db+lpjiUdw+bfNyO9NB0K5n8jmHhaPAzs\nMxAfj/oYi9wX0WJ9hHQhjQ0MmUKGiw8vIiIjAtHiaDwofYDS2lIAgImeCez72mO4cDimOkyFr7Wv\n2ieZldSU4FRqw4S9+MJ45FbkQlYvg4G2AQb2GYhhFsPg5+SHSXaT1F7WjiaVSfF/V/4PBxIPNCxx\n0qSDWperCw+BB76c+CVGDBihxlISQjQqMBadXIT4wnhkl2ejSlYFnhYPpvqmcO7njJcHvAw/Bz94\nmXup/VdphbQCoWmhiMyIRFxBHHLKc1CrqIUeTw9Wva0wVDgUU+2nYrrD9B65lPez5JTl4O2ItxGV\nFdWs/wEAjLSNMNF2InZN2gUzo567ECEhmkijAsNulx3cTd3xqvWr8HPyU8uqrC1VyaoQnhb+19nc\nXF1Y9rbEYPPBmDBwAma5zIKxrrG6i9spQlNC8c+ofyL1UWqzx41qcbQg0Bfg9cGvY+OojRozYosQ\nTaVRgaHuslTJqhCWFoZzGeeahYMOVwciIxE8zTwbZnM7z9KoEUtN1chqsPHyRhy5ewTFNcXNbi9p\na2nDuZ8zPhnzCaY6TFX7lR4h5PlQYLRRhbSicU7G7YLbzcJBaCSEp5knxg8cj1lOs2BqYNpl5epq\nt8S3sO7cOtwuuI0axf+eRc0BB0Y6RhhrMxa7J+2GRW/1TVokhHQMCgwVlNSU4NfUX3Hx4cWGDuny\nXNQqaqHL1W0WDjOdZmp0OCgYBbZc2YIf435EflV+s+U1uBwuBvQegLd93sbaYWvVssw6IaRzUWC0\nIK4Q41TKKVzOvIzEokSIK8Soq6+DHk8PA3oPgJeZF8YNHIeZTjNh0sukA0refSUUJOC9c+8hNj8W\n1fLqZu/p8/XhI/TBlxO/hIeZh5pKSAjpSi90YKQUpyA0NbThkabFySisKoSckcNA26Bxwt4ku0mY\n7jgdBtoGnVTy7kEqk+Lff/4bIYkhKKwq/MvVg7mhOZZ7LqfOaUJeYC9EYDAMgxt5N3D6/mncyLuB\ntEdpDR2yLIPeOr0xsM9A+Ah9MNluMibaTYQuTz0PJupKlx5ewsbLG3FHcge1itpm7+nz9THUYii+\nmPgFvMy91FRCQkh3o3GBIVVIEZEe0TBSqeAWHpQ+QLm0HBwOB331+sKhrwNGiEZgqsNUjB4wWuNm\nSLfmcfVjrL+wHmfun/nLwnw8Dg8iIxFWe6/Gu8PfpaU1CCFPpFGB0evTXqiR14CvxYeZgRlc+rs0\nTNhz9IO7wF3dRewSDMNgd/RufB37NbLLs5vNe+CAg966vfGq1avYMWEHbExs1FhSQkhPo1GBsTd2\nL2Y4zYCZwYszQzgqKwofX/oY8YXxzYa1Ag2PFnXq54R/jPoHZrnMonkPhJB20ajA6C5l6SzZpdn4\n4OIHuPTwEkqlpc1uLXE5XFgYWiDQLRCbXtkEXb7m98MQQrpWewNDs1bB60aq66qx8feNOJF84i+j\nljjgoI9uH7xi/Qp2jKdbS4SQnoECowMoGAV2XN+BH+N+/Eu/A9AwaslD4IFPxnyCV21eVVMpCSGk\nfeiW1HNiGAb7E/fjqxtfIb0kHXX1dc3e1+HqwN7EHutGrMNSz6XU70AI6TbollQnYhgGJ1JOYPvV\n7Uh5lPKX+Q58LT5s+9hiuedyvD/yfZoQRwjRaBQYTYSlhGHL1S24V3TvLyOWeBweLI0sMX/QfPzL\n91/0rGlCyAvnhQwMlmURmhqKbVe34V7xPdTIm4cDl8OF0FAIf0d//Nv33+ij30dNJSWEkO5D4wOD\nYRgcTzqOz65/htRHqX+5clAOZ/Vz8MOnr34KE33NXpCQEELaSqMCg2EYfHf7O3wb+y3SS9MhVUib\nvc/lcCEyFGG643R84vsJhQMhhDyHHhsYUpkU269tx+G7h5Fdng0ZI2v2Pl+LjwG9B2Ceyzx8POpj\nGOkZqamkhBCiGXpEYBRXFePjyx/jTMYZSKokULCKZu9ra2nD3sQeSz2WYv2I9dDh66ippIQQorm6\nXWAk5CfgH3/8A9dzr6OstqzZM6UBQI+nh0Emg/DW0LewfPByejIcIYR0kW4VGJzN/5tPwgEHhtqG\n8DL3wkcvf4TxtuNpEhwhhKhRtwqM+YPm45NXP4FtX1t1F4UQQkgLtDQIIYS8INq7NIjmP66OEEJI\nh6DAIIQQohIKDEIIISp5amAsX748WCAQSNzc3O4q95WUlJiMHz/+goODw/0JEyacLysrM1a+t3Xr\n1g/t7e3TnZycUs+fPz9Buf/27dtD3Nzc7trb26evXbt2Z+dUhRBCSGd6amAsW7Zsf2Rk5KSm+7Zt\n2/b38ePHX7h//77D2LFjL23btu3vAJCcnOxy7NixecnJyS6RkZGTVq9evUfZubJq1apv9+3btyI9\nPd0+PT3dvuUxCSGEdH9PDYxRo0b92adPn9Km+8LDw/2WLFkSAgBLliwJCQ0N9QeAsLCwGQsWLDjC\n5/Pl1tbWWXZ2dhnR0dHDCgoKzCsrKw19fHxiACAoKOig8juEEEJ6jueehyGRSAQCgUACAAKBQCKR\nSAQAkJ+fbzF8+PCbys+JRKI8sVgs5PP5cpFIlKfcLxQKxWKxWNjasTdt2tT42tfXF76+vs9bPEII\nIf8VFRWFqKioDjteuybucTgclsPhdNjkiaaBQQghpH1a/vDevHlzu4733KOkBAKBpLCw0AwACgoK\nzE1NTYuAhiuH3NxcS+Xn8vLyRCKRKE8oFIrz8vJETfcLhUJxu0pNCCGkyz13YPj5+YWHhIQsAYCQ\nkJAl/v7+ocr9R48enS+TybQzMzNt0tPT7X18fGLMzMwKjYyMKqKjo4exLMs5dOjQYuV3CCGE9CAs\nyz5xmz9//hFzc/N8Pp8vE4lEucHBwcseP35sMnbs2Iv29vb3x48ff760tNRY+flPP/30I1tb2wxH\nR8fUyMjIicr9t27dGuLq6nrX1tY245133tnV2rkaikIIIaSz/LedfWq7/7SN1pIihJAXBK0lRQgh\npEtQYBBCCFEJBQYhhBCVUGAQQghRCQUGIYQQlVBgEEIIUQkFBiGEEJVQYBBCCFEJBQYhhBCVUGAQ\nQghRCQUGIYQQlVBgEEIIUQkFBiGEEJVQYBBCCFEJBQYhhBCVUGAQQghRCQUGIYQQlVBgEEIIUQkF\nBiGEEJVQYBBCCFEJBQYhhBCVUGAQQghRCQUGIYQQlVBgEEIIUQkFBiGEEJVQYBBCCFEJBQYhhBCV\nUGAQQghRCQUGIYQQlVBgEEIIUQkFBiGEEJVQYBBCCFEJBQYhhBCVUGAQQghRCQUGIYQQlVBgEEII\nUQkFBiGEEJW0OTCsra2z3N3d73h5ecX7+PjEAEBJSYnJ+PHjLzg4ONyfMGHC+bKyMmPl57du3fqh\nvb19upOTU+r58+cndEThCSGEdJ02BwaHw2GjoqJ84+PjvWJiYnwAYNu2bX8fP378hfv37zuMHTv2\n0rZt2/4OAMnJyS7Hjh2bl5yc7BIZGTlp9erVexiGoasbQgjpQdrVaLMsy2n69/DwcL8lS5aEAMCS\nJUtCQkND/QEgLCxsxoIFC47w+Xy5tbV1lp2dXYYyZAghhPQMvLZ+kcPhsOPGjbvI5XLrV65c+d3r\nr7/+g0QiEQgEAgkACAQCiUQiEQBAfn6+xfDhw28qvysSifLEYrGw5TE3bdrU+NrX1xe+vr5tLR4h\nhLzwoqKiEBUV1WHHa3NgXLt27SVzc/OC4uLi/uPHj7/g5OSU2vR9DofDcjgc9knfb+29poFBCCGk\nfVr+8N68eXO7jtfmW1Lm5uYFANC/f//imTNnnoqJifERCASSwsJCMwAoKCgwNzU1LQIAoVAozs3N\ntVR+Ny8vTyQUCsXtKjkhhJAu1abAqKmp6VVZWWkIANXV1frnz5+f4ObmdtfPzy88JCRkCQCEhIQs\n8ff3DwUAPz+/8KNHj86XyWTamZmZNunp6fbKkVWEEEJ6hjbdkpJIJIKZM2eeAgCFQsFbuHDh4QkT\nJpz39va+NXfu3OP79u1bYW1tnXX8+PG5AODi4pI8d+7c4y4uLsk8Hk+xZ8+e1U+7XUUIIaT74bBs\n92i3ORwO213KQgghmojD4fxldOvzoLkQhBBCVEKBQQghRCUUGIQQQlRCgUEIIUQlFBiEEEJUQoFB\nCCFEJW1eGoQQQojq6pl61NXXQaqQok7R8KdUIW3c13R/a/ukCimk9dLW97dyrGb7//vZ9qJ5GIQQ\njcawTLOGuLXGuk5R95fGvNnf65/dmD9rfz1TDx2eDnS4OtDj60GHqwMdng70eHrQ4elAl6cLXZ4u\ndLhNXjd5X4fb4jVfr/HzLY/X8ruN3+PptGseBgUGIaTDNW2kZfWyZg31s1632og/5b3WGvymr+WM\nvLERVja2TRtkZaPbWqPd7P1WvtdaA/+k/XwtPjicNrfVHaK9E/coMAjRAMrbHXWKumYNdMtG9Fl/\nNm2cn9TQP+uYUoUUCkbRrBFWvm76Z8sGvNX3WzlGa436046hzdVWe0PdXVBgENKFWJaFglE0ayBl\n9bJmjWbLBvtJ++rq6554nJbHfNaf9Wz9Exvj5/lTl9vQwD6toVclBLrDr2nyVxQYRCMpb2koG9rW\nGtOmjbBKn3vGd1tr4FsLAy2OVmMDqWxcmzaaqu5r9t6T9qvY2PO0eNRAk2eiwCBt8qQGWVYva9yU\n+xv/3qQh/svnGdlTj9e0wW1tX8vvMCzTrMHkc/mNDWTTBra119pc7b80ttpazfc96fWz3tfmaoOr\nxVX3/3yEtAkFRjfDsizkjLxZw9hqA6vC9pcGu5UG/Lm+3+TzT2qQmza2ja+f0GA3+6xW699r2Xg/\n6TMt3+dyuPSLmZAO9kIEBsMykNf/rxFu2SA3fa/Z/ic03E/6nCoNetNjtvZ5OSMHX4sPba52YyPb\nWmPM1+I3a4T5WvzGhrTp66aNqnJ/y2M+63itNd7UIBPy4tGowLD5yqbVhl7BKJo1iC0b45aNrbJh\nbO3zzb77388+rcFW5XgtG20tDk2gJ4R0PxoVGA9KHrT665xGXBBCSPtpVGB0l7IQQogmoifuEUII\n6RIUGIQQQlRCgUEIIUQlFBiEEEJUQoFBCCFEJRQYhBBCVEKBQQghRCUUGIQQQlRCgUEIIUQlFBiE\nEEJUQoFBCCFEJRQYhBBCVEKBQQghRCUUGIQQQlRCgUEIIUQlFBiEEEJUQoFBCCFEJRQYhBBCVEKB\n0cWioqLUXYRO9yLUEaB6apIXoY4doUsDIzIycpKTk1Oqvb19+vbt2zd05bm7ixfhH+aLUEeA6qlJ\nXoQ6doQuC4z6+nru22+//XVkZOSk5ORklyNHjixISUlx7qrzE0IIaZ8uC4yYmBgfOzu7DGtr6yw+\nny+fP3/+0bCwsBlddX5CCCHtxLJsl2y//PLL7Ndee+0H5d8PHTq06O23396t/DsAljbaaKONts7d\n2tOO89BFOBwO+7T3WZbldFVZCCGEPL8uuyUlFArFubm5lsq/5+bmWopEoryuOj8hhJD26bLA8Pb2\nvpWenm6flZVlLZPJtI8dOzbPz88vvKvOTwghpH267JYUj8dTfP31129PnDjxXH19PXfFihX7nJ2d\nU7rq/IQQQtqpqzq9n7ZFRERMcnR0TLWzs0vftm3bBnWXp6O2nJwcS19f399dXFySBg0adG/nzp1r\nWJbF48ePTcaNG3fB3t7+/vjx48+XlpYaq7us7d0UCgXX09Mzftq0aac1tY6lpaXGAQEBJ5ycnFKc\nnZ2Tb968OUzT6rlly5YPXVxcklxdXe8uWLDgZ6lUqqMJdVy2bFmwqampxNXV9a5y39PqtWXLlg/t\n7OzSHR0dU8+dOzdB3eVvTz3ff//9z5ycnFLc3d0TZ86c+WtZWVnvttZT7RVUKBRcW1vbjMzMTGuZ\nTMb38PBISE5OdlZ3uTpiKygoMIuPj/dkWRaVlZUGDg4OacnJyc4ffPDBf7Zv3/43lmWxbdu2DRs2\nbNim7rK2d9uxY8e6wMDAw9OnTw9nWRaaWMegoKCQffv2LWdZFnK5nFdWVtZbk+qZmZlpbWNj81Aq\nleqwLIu5c+ceO3DgwBJNqOOVK1dGxcXFeTVtSJ9Ur6SkJBcPD48EmUzGz8zMtLa1tc2or6/XUncd\n2lrP8+fPj1eWf8OGDdvaU0+1V/D69esjJk6cGKn8+9atW/++devWv6u7XJ2xzZgxI/TChQvjHB0d\nUwsLCwUs2xAqjo6OqeouW3u23Nxc0dixYy9evnz5VeUVhqbVsaysrLeNjc3Dlvs1qZ6PHz82cXBw\nSCspKekjl8t506ZNO33+/PnxmlLHzMxM66YN6ZPqtWXLlg+b3umYOHFi5I0bN4aru/xtrWfT7ddf\nf525cOHCn9paT7WvJSUWi4WWlpa5yr+LRKI8sVgsVGeZOkNWVpZ1fHy817Bhw6IlEolAIBBIAEAg\nEEgkEolA3eVrj/fee+/Lzz777AMtLS1GuU/T6piZmWnTv3//4mXLlu0fPHhw3Ouvv/5DdXW1vibV\n08TEpGT9+vU7BgwYkGNhYZFvbGxcNn78+AuaVMemnlSv/Px8i6YjODWpTQoODl4+ZcqUs0Db6qn2\nwHjW/AxNUFVVZRAQEHBy586daw0NDSubvsfhcNie/N/gt99+m2Zqalrk5eUVzz5hLk1PryMAKBQK\nXlxc3ODVq1fviYuLG6yvr1+9bdu2vzf9TE+v54MHD2y/+uqrd7Oysqzz8/MtqqqqDH766adFTT/T\n0+v4JM+qlybU+dNPP92ora0tCwwM/PlJn3lWPdUeGJo+P0Mul/MDAgJOLl68+JC/v38o0PBrprCw\n0AwACgoKzE1NTYvUW8q2u379+sjw8HA/GxubzAULFhy5fPnymMWLFx/SpDoCDb++RCJR3tChQ2MB\nYPbs2Sfi4uIGm5mZFWpKPW/duuU9cuTI63379n3M4/EUs2bN+vXGjRsjNKmOTT3p32jLNikvL08k\nFArF6ipnRzhw4MDSs2fPTjl8+PBC5b621FPtgaHJ8zNYluWsWLFin4uLS/K77777lXK/n59feEhI\nyBIACAkJWaIMkp5oy5YtH+Xm5lpmZmbaHD16dP6YMWMuHzp0aLEm1REAzMzMCi0tLXPv37/vAAAX\nL14cN2jQoKTp06ef1pR6Ojk5pd68eXN4bW2tHsuynIsXL45zcXFJ1qQ6NvWkf6N+fn7hR48enS+T\nybQzMzNt0tPT7X18fGLUW9q2i4yMnPTZZ599EBYWNkNXV1eq3N+meqq7g4ZlWZw9e3ayg4NDmq2t\nbcaWLVs+VHd5Omr7888/X+ZwOIyHh0eCp6dnvKenZ3xERMSkx48fm4wdO/ZiTx6m2NoWFRX1inKU\nlCbWMSEhwcPb2zu26fBETavn9u3b/6YcVhsUFBQik8n4mlDH+fPnHzE3N8/n8/kykUiUGxwcvOxp\n9fr0008/srW1zXB0dEyNjIycqO7yt7We+/btW25nZ5c+YMCAbGUbtGrVqj1trSeHZXv8rTlCCCFd\nQO23pAghhPQMFBiEEEJUQoFBCCFEJRQYhBBCVEKBQQghRCUUGIQQQlTy/9qkG+bDaxVdAAAAAElF\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x106664f10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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dTdrWpYGxbNmyvSdOnPibsbFx8b1799wAYP369et37969wsjI6BEAbNy48dOp\nU6eeAoBNmzZ9snfv3mUcDke2bdu2VZMmTYoGgDt37gxdsmTJr/X19Zr+/v4nt27d+sTNZCgwerfi\nmmIcST6CqIwoxBfFo6CqAHJWDkMtQ7gYucDPxg8LXBfAYYBDt8wALqktQVhiGE6kn0BCUQJKa0vB\nVePCSt8KoyxGYd7geZhiO6VX/PKurK/EG8ffwJ8Zf7boh+Cp8TDUbCh2TdsFV1NXFZaQ9BZdGhiX\nL18eo6OjUx0UFLRPERgbNmz4QldXt2rt2rXfNf9scnKyy8KFC3+7devWMJFIxJ8wYcLZjIwMe4Zh\nWB8fn9gff/zxXR8fn1h/f/+Tq1at2jZlypSoVhWhwOgl6iX1OPPgDCLSInBdeB3Z5dmok9ahH68f\nBukPwkiLkZjtPBt+Nn7gcXjdUqa4gjiEJYY1Xl4qzUCNpAY66jpwGuDU2P/gHoTBxj3jcaPPI5PJ\n8NHZj/BLwi8ory9vWs9hOLDWt8a3E77FLJdZKiwh6a06GhjPHP83ZsyYyzk5Odat17d1wIiIiBmB\ngYEHeDyexNraOsfOzi7z5s2bw62srB5WVVXp+vj4xAJAUFDQvvDw8JmtA4P0THJWjriCOPye9Dsu\n5V5CakkqHtc/BofhwFzPHJ6mnljlswpznOd02UOBWquX1uNoylGEp4YjVhQLYaUQclYOY21jeJp6\nYqXXSiwYvKDHzqBuTS6X47sb3+G769+hsLqwqaOaAQNTbVN88MoHWDtiba84GyJ9W7sGjP/www/v\n7du3L8jb2/v2li1bPtDX16/Iz883HzFixA3FZwQCgVAkEvF5PJ5EIBAIFev5fL5IJBLx29rv+vXr\nm177+vrC19e3PcUjHZBdno0jyUdwLvscEosSUVRTBJZlMaDfALgYueD9Ee9jrvNcOBt1zTOn25JV\nloWwxDCczT6LpOIklNeXQ4OjAWt9a4y3GY/5LvMxyXZSr2pQ9yXswxcXv0Du41zIWXnTegNNAwS5\nB+E/k/7To+dzkN4hJiYGMTExnba/F/4X+dZbb/38+eef/wsAPvvssy8/+OCDLXv27FneGYVpHhik\n65XVluFY6jGcyjyFuII4CCuFkMgl0FXXhf0Ae8x1mYtZTrMwxmpMtzVeUrkUpzJO4UjyEVwXXsfD\nxw8hlomhr6kPV2NXvD/ifSx0WwhbQ9tuKU9niUiNwEdnPkJWeVaLkUw66jqY5jANO/130m03SKdr\n/cN7w4bXB53xAAAd8klEQVQNHdrfC7cCxsbGxYrXK1as2D19+vTjQOOZQ15eXtMYRKFQKBAIBEI+\nny8SCoWC5uv5fL6oQ6UmL6xWXIsTGSdwMuMkbopuIqciB3XSOmhyNWHVv7EjOMAxAP72/l16O+/W\nch/n4rd7vzXNwyirKwNHjQOBngA+5j7Y4LsBs5xn9ejba7TlXNY5rD69GmklaZCyf82o7sfth/HW\n47Fnxh6aMEd6nRcOjIKCAjMzM7MCADh27NgsNze3ewAQEBAQuXDhwt/Wrl37nUgk4mdkZNj7+PjE\nMgzD6unpVd68eXO4j49PbGho6OJVq1Zt6+yKkL9IZBKczzmPyNRIXBNeQ1ZZFqrEVeCp8cDX48PT\n1BOrh6/GLOdZ3fp4TMXZwx8pfzTOw6jIQYOsAf01+sNpoBNWDl2JRa6L4GrS+0b8XMq+hPdOv4eU\nRyktng+hydHEGIsx2B2wG4MMBqmwhIR03DMDIzAw8MDFixfHlZSUDLSwsMjbsGHDFzExMb4JCQke\nDMOwNjY22Tt27HgTAFxcXJLnzZt32MXFJZnL5Uq3b9/+NsMwLABs37797SVLlvxaV1en5e/vf5I6\nvDuPTC7D1byriEiNwNW8q0grTcPj+sdQY9RgqmMKN2M3LHRdiDkuc7q9wcoqy8Jv935r6nsorWsc\n2irQE8Db3Bv/HPNPzHaejX7q/bq1XJ3hYvZFrDm9BkmPkloEhAZHA6MsRmHXtF1wNnZWYQkJ6Xw0\nca8XkbNyxIpiEZ4ajsu5l5FWkoayujIwDAOjfkZwMXLBeOvxmO08Gy5GLt36xLNacS2OpR3Dn2l/\nIjY/FnmP8yCRS2CgaQCngU6N8zDcFmCwUe8Y2tra+Qfn8f7p95FSkvJEQHibe+Nn/5/hZuqmwhIS\n8nw007uPkrNy3BbdRnhaOK7kXkFKSQpKa0sBAAP6DYDTACeMsx6HmU4z4WXm1S230mjulugWDiYd\nxOWHl5FWmobKhkpocDRg2d8SwwXDEeAQgBmOM6DOVe/WcnWWP9P+xLqz65Bemt6iD0KDo4GhZkOx\n4287aLIc6XUoMPqA1uGQWpKKktoSAIChliGcBjphtMVozHCa0S13aW0tvzIfB5MONnVMK4baGmkb\nwc3YDZNsJ2GB64Iuf3pdVwpNCMWGSxuQU5HTYhSTJlcTw/nDsfNvO+Fg5KDCEhLScRQYvYxMLkOs\nKBYRaRG4knsFaaVpTWcOhlqGcBzgiFGWozDLaRZ8+D7gqHG6tXz10npEpEYgMi0St/JvIfdxLhpk\nDdBR14G9oT1GW47GXOe5GG05ulfNe2hOJpNhW+w2/N+N/4OoStRiHkQ/bj+MsRyDHdN2wMrASoWl\nJKTzUWD0YFK5FFceXsGf6X/iqvAqMkozUFZXBuCvy0qjLRvPHIaZD+v2cJDL5bicexlHU47iat5V\npJemo0pcBXWOeosbBPbWjmkFsUyMT899itDEUDyqedQ0kxoAdNV1McFmAnZM3wEjbSMVlpKQrkeB\n0UPUS+pxLvscTmWcws38m8gsy8Tj+sdNHdJOA50wxnIMZjjNUEmfAwCkPEppunts8qPkpmdPmGib\nwNXYFRMHTcR81/m9+tISAJTXlOPtU2/jVOYpPG543GKbgaYBXnN+Dd9N/g7aGt0334SQnoACQwUe\n1z/GyYyTiM6Kxp2CO8ipyEGVuApchgtjHWMMNhqMsVZjEeAYADdjt24draSQX5mPw8mHcSbrDBKL\nE1FYXQipXNo0ammc1TjMcZkDb3Pvbi9bZ0suTsY7J99BrCgWtdLapvVqUIOJjglWeK3A5+M+p1tt\nkJceBUYXy6/MR2R6JM4/OI+EogQIK4Wok9ZBnaMOc11zuBm7wdfaFzMdZ8LGwEYl4VBRX4EjyUdw\nOut00y0+xDIxdNR1YGtgixGCEZjpOBMTbCf0iUbzWMoxfHbhM6SXprcY4splGh+f+tmYzxDkGaTC\nEhLSM1FgdBKWZXG/+D6Opx/H5YeXkfQoCYXVhZDIJejH6wcLPQt4mHpgwqAJmO4wXWW3dagV1yIi\nLQKnMk/hdv7tplt8aHG1YNXfCsP4wzDVbipmOM7o1f0OCjKZDP+6+C/sjt+NwprCFh3UGhwNuJu4\n4/vJ32Ok5UgVlpKQ3oECox0kMgku517GyYyTuCG8gfTSdJTWlYJlWehp6GGQwSB4m3tjsu1kTLad\nDB0N1TyFrV5aj1MZp3Ai4wRiRbHILs9GtaQaGhwN8PX48DLzwmTbyZjtNLvX3Mr7eQoqC/DOyXdw\nNvssqsRVLbbpqevBz8YPP/n/BDM9MxWVkJDeiwLjOcpqy3Ai8wTOPziPuMI45FTkoLKhEhyGg4H9\nBsJhgANGCkbC38EfoyxGqeySjVgqxums0ziefhyxolg8KH/QdP8nc11zeJh6wM/GD68Nfg2mOqYq\nKWNXOJl+Ep+c/wSpJaktHjeqxqjBRNsES92XYsOrG/rEpTRCVI0C439YlkXSoyScSD+BK7lXcP/R\nfRRUFaBB1gBNjibMdM3gauyKsVZjMd1herc9KrQtYqkYpzL/OnNQhANXjQszHTO4GbvBb5Af5rrM\n7fUjlpoTy8T4x7l/ICwxDMU1xZDjr8tL6mrqcBzoiK/Gf4UApwAVlpKQvuulDIxacS3OZZ9DdFY0\nbuXfQlZZFsrqy5ouKVnrW8PLzAt+Nn7wt/eHgZZBF5f+6RSXlU5mnERsfuNlJcWZg+LmgK/avIq5\nLnNhpd+3Jool5Cfg/dPvI7YgFrWS2hbb9DT0MN5qPH6a+hP4+m0+T4sQ0sn6dGCwLIus8iycTD+J\ni7kXcb/4PoSVQtRKasFV48JY2xiOAxwxQjAC/nb+GGExQqWXLqrF1Tiedhyns043Drctz0G1pBo8\nNR7MdM0wxHgIxtuMxxznOX0uHGQyGf597d/YcXsHhFXCFrfX4DAcWOhZ4J1h72DtSHrUKCGq0qcC\n40T6CURnRuNWwS1klmWitLYUMlYGHXUdWOhZwN3UHb5WvpjmMA18PdX+Ki2rLUN4ajjOPDiDhMIE\n5FbmolZS29ghrcvHEJMh8LX2xRyXORDoCZ6/w17mftF9rD29FteF11EtqW6xrR+vH4aZD8PWKVvh\nbuquohISQlrrU4HB/RcXRv2MYD/AHj7mPphiNwWjLUdDg6uh0rLlPs7FsZRjuJBzAfeK7kFUJUKD\nrAFaXC1Y9LeAh4kHJtpOxEynmRjYb6BKy9oVZDIZvrr0FXbH70ZBdcETZw+mOqZY5rEMn/vS5DhC\nerI+FRg9oSwJBQlNNwZMKUlBUU0RpHIpdNR1YK1vjaFmQzHRdiKm20+HnqaeqovbJS7nXMbHZz9G\nQnHCE30P2jxteJt547tJ38GL76WiEhJC2oMCo52kcikuZF9oesZ1RlnjjQFZloW+pj7sDO2aJsFN\nGjSp1z7X4XkqaivwwZkPcDz9OEprS1uMXOKqccHX5eMNrzewbvS6br85IiGkc1FgKKGivgKRaZE4\n9+Ac4gvjm+79xGE4MNI2gvMAZ4y0GInpjtPhY+7TZztlZTIZ/nvnv9h2YxuyH2e3uK0GAwZ6GnoY\nZzUO30/5HjYGNiosKSGkK1BgtJLyKAURaRG4mnu15VwMrmbTvZ/GWo3FLKdZfb5RvJ57HevOrkNc\nYRxqJDUttmlwNOAwwAH/GPMPzHedr6ISEkK600sbGGKpGGezz+J05mnE5sciqywLpXWlkLNy9Nfo\nD2t9a3iaeWLSoEn4m/3f+mx/g0JBZQHej34fZx6cQUVdRYtLS4qO6UDXQGwYtwH9NHr/PaYIIS/u\npQiM3Me5iEyLxKWHl5BYlAhhpRA1khpw1RpHVTkOcMRIi5Hwt/fHK4JX+uwlJYXahlp8HvM5DiUd\nemLUEgMG+pr6GGM1Bt9PpktLhJC/9KnAaJA04OLDi4jKisIt0S1klGWgpLakcZQSTwcW/S0wxGQI\nxlmNw3TH6X1yfkNrMpkM39/4Hjvu7MDDxw8hlotbbO/H64chxkPw1atfwW+Qn4pKSQjpDfpUYGB9\n48icgf0Gws7QDj58H0yxnYJxVuP67Cil1kLvhmLL9S1IK0lDvay+xTYNjgbsDOywduRaLPFY0ufP\npAghnatPBcbDiod96mZ7zxOeGo5Nlzfh/qP7T8x34KnxYKFngWD3YHw69lOaEEcI6bA+FRg9pSxd\n4WT6SXx56UvcK773xIglrhoXptqmmDd4Hv7l+y961jQhpEt0NDDoZ2sX+DPtT3x9+es2w4HDcGCu\nY44AxwB84/cN9LT69ugtQkjfQYHRQUdTjmLT5U1ILkl+4rISh+HATMcM0+ynYdOETRjQb4CKSkkI\nIR1HgaEkmUyGfQn7sPXWVqSXpqNOWtdiO5fhwlzHHNMcpmGj30YKB0JIn0OB0QaJTIJvr32LXxN+\nbRzKKms5lJWrxoWFngVec3kNG8ZtgI6map75TQgh3emlD4zymnJ8GvMp/kz7E4XVhZCy0hbb1dXU\nYWdgh8Xui/HhiA+hpaGlopISQohqvVSBca/wHj678Bmu5F1BeX055Ky8xXYtrhacDZ3xzrB3sNJr\nJc1zIISQZvpsYBy+fxhbrm9B8qNk1EhqwOKvIbsMGOhq6MLd2B2fjPkEU+2nqrCkhBDSO/T6wKiq\nr8KXl7/EkeQjEFWJnuhv4DAcGPUzwjircdjotxF2A+xUVFJCCOndetXEvVuiW1gfsx43RDdQUV/x\nxCUlDY4GBHoCBLoG4pNRn9BdWQkhpJk+OXFPLBNjy7UtCE0MRXZ59hP3VGLAQFddF0NMhuCjVz7C\ndKfpKiopIYS8PHpUYHD/xW1xq26g8Z5KAl0BJttNxpe+X8JMz0xFpSOEkJdbjwoMLZ4WBg8cjHd8\n3sEit0U0SokQQnqQZ7bIy5Yt22tiYlLk5uZ2T7GurKzMcOLEiWccHBzSJ02aFF1RUaGv2LZp06ZP\n7O3tM5ycnFKjo6MnKdbfuXNnqJub2z17e/uM1atXb33a8ao+qcKNlTew2H0xhQUhhPQwz2yVly5d\n+ktUVNSU5us2b9788cSJE8+kp6c7+Pn5ndu8efPHAJCcnOxy6NCh+cnJyS5RUVFT3n777e2KzpW3\n3nrr5z179izPyMiwz8jIsG+9T0IIIT3fMwNjzJgxlw0MDMqbr4uMjAwIDg4OAYDg4OCQ8PDwmQAQ\nERExIzAw8ACPx5NYW1vn2NnZZd68eXN4QUGBWVVVla6Pj08sAAQFBe1TfIcQQkjv8cJ9GEVFRSYm\nJiZFAGBiYlJUVFRkAgD5+fnmI0aMuKH4nEAgEIpEIj6Px5MIBAKhYj2fzxeJRCJ+W/tev35902tf\nX1/4+vq+aPEIIYT8T0xMDGJiYjptfx3q9GYYhmUYptMmcjQPDEIIIR3T+of3hg0bOrS/F+5ZNjEx\nKSosLDQFgIKCAjNjY+NioPHMIS8vz0LxOaFQKBAIBEI+ny8SCoWC5uv5fL6oQ6UmhBDS7V44MAIC\nAiJDQkKCASAkJCR45syZ4Yr1Bw8eXCAWi9Wzs7NtMjIy7H18fGJNTU0L9fT0Km/evDmcZVkmNDR0\nseI7hBBCehGWZZ+6LFiw4ICZmVk+j8cTCwSCvL179y4tLS019PPzO2tvb58+ceLE6PLycn3F57/+\n+utPbW1tMx0dHVOjoqImK9bfvn17qKur6z1bW9vM9957b1tbx2osCiGEkK7yv3b2me3+s5ZedS8p\nQggh7dfRe0nR7DhCCCFKocAghBCiFAoMQgghSqHAIIQQohQKDEIIIUqhwCCEEKIUCgxCCCFKocAg\nhBCiFAoMQgghSqHAIIQQohQKDEIIIUqhwCCEEKIUCgxCCCFKocAghBCiFAoMQgghSqHAIIQQohQK\nDEIIIUqhwCCEEKIUCgxCCCFKocAghBCiFAoMQgghSqHAIIQQohQKDEIIIUqhwCCEEKIUCgxCCCFK\nocAghBCiFAoMQgghSqHAIIQQohQKDEIIIUqhwCCEEKIUCgxCCCFKocAghBCiFAoMQgghSqHAIIQQ\nohQKDEIIIUqhwCCEEKIUCgxCCCFKaXdgWFtb5wwZMiTR09Mz3sfHJxYAysrKDCdOnHjGwcEhfdKk\nSdEVFRX6is9v2rTpE3t7+wwnJ6fU6OjoSZ1ReEIIId2n3YHBMAwbExPjGx8f7xkbG+sDAJs3b/54\n4sSJZ9LT0x38/PzObd68+WMASE5Odjl06ND85ORkl6ioqClvv/32drlcTmc3hBDSi3So0WZZlmn+\nPjIyMiA4ODgEAIKDg0PCw8NnAkBERMSMwMDAAzweT2JtbZ1jZ2eXqQgZQgghvQO3vV9kGIadMGHC\nWQ6HI3vzzTd3rFy5cldRUZGJiYlJEQCYmJgUFRUVmQBAfn6++YgRI24ovisQCIQikYjfep/r169v\neu3r6wtfX9/2Fo8QQl56MTExiImJ6bT9tTswrl69OsrMzKzg0aNHRhMnTjzj5OSU2nw7wzAswzDs\n077f1rbmgUEIIaRjWv/w3rBhQ4f21+5LUmZmZgUAYGRk9GjWrFnHYmNjfUxMTIoKCwtNAaCgoMDM\n2Ni4GAD4fL4oLy/PQvFdoVAo4PP5og6VnBBCSLdqV2DU1tb2q6qq0gWAmpoa7ejo6Elubm73AgIC\nIkNCQoIBICQkJHjmzJnhABAQEBB58ODBBWKxWD07O9smIyPDXjGyihBCSO/QrktSRUVFJrNmzToG\nAFKplLto0aL9kyZNivb29r49b968w3v27FlubW2dc/jw4XkA4OLikjxv3rzDLi4uyVwuV7p9+/a3\nn3W5ihBCSM/DsGzPaLcZhmF7SlkIIaQvYhjmidGtL4LmQhBCCFEKBQYhhBClUGAQQghRCgUGIYQQ\npVBgEEIIUUq7Z3oTQgjp+eSsHA3SBtRL6zu8LwoMQgjpIs0b6wZZ4996aX3Tumetb3O7rI3tbXyn\n+WfFMjE0uZrQ5Gp2uD40D4MQ0ufIWTnEMnGLBlXRgDZ//6xtT2vMX6Thl8gl0ORqQoOj0fiXqwEN\njga0eFrQ4GhAg6sBLa4WNLgaTY16m9ubvVbsR/E9xeebf7f5MdU56mCYxqkXHZ2HQYFBCOkUrRtp\nRYPc/G/zbU97/cxtbTTQrbc1yBoglomhzlFvajhbN8jNG++m9a0+88T2Z3z2aeubN9Y9QUcDgy5J\nEdJLKS53tNUwK/u3+S/t537uOdskckmLhrb13+aNtKJhbeu1BkcDOlo6T/1F/rTvPe1XNek8dIZB\nyHOwLAupXAqxTPxEg6lYJ5aJn2hI21rX/Fd0W5975nda/ZXKpU2NZetf0y/yV5nvPeszPfXXNHkS\nXZIifYbikkZbDWjzxrqtRrrNz8mf/t3Wr5/XcDMM80RDqc5Rb/N187/qHPUnG9l27Ketvzw1HjXQ\n5IVQYBClKRrk1o1u80a6xfs2GmJltyuzrnnjLJaJIZPLmhpYdY56U+PZ9LqNRrit182/27whfpEG\nvvV2jhpH1f/7COkwCoweQHHJonnjJ5FJnmhgn7c8rcF+2vsX/X7rBpmnxmtqEHkc3hONc+tG+6kN\neRuNumJ/zRvfpzX8iu1cNS79YiakC/XZwGBZFhK55IlGUSL7a11b25/22aZFrnwD/iILV43bohFu\n/VrRQDZvmJ/2uqkhVVN/bgPf1j4UlytaN/DUIBPycutTgWGw2aBFGPDUeC0aRkUj2Hx9Ww2vopFs\ns/FWa7uhfpH9tfV5NYbuskII6dn6VGCU1pY2Nc5cNS41woQQ0on6VGD0lLIQQkhfRE/cI4QQ0i0o\nMAghhCiFAoMQQohSKDAIIYQohQKDEEKIUigwCCGEKIUCgxBCiFIoMAghhCiFAoMQQohSKDAIIYQo\nhQKDEEKIUigwCCGEKIUCgxBCiFIoMAghhCiFAoMQQohSKDAIIYQohQKDEEKIUigwCCGEKIUCo5vF\nxMSoughd7mWoI0D17Etehjp2hm4NjKioqClOTk6p9vb2Gd9888267jx2T/Ey/MN8GeoIUD37kpeh\njp2h2wJDJpNx3n333R+joqKmJCcnuxw4cCAwJSXFubuOTwghpGO6LTBiY2N97OzsMq2trXN4PJ5k\nwYIFByMiImZ01/EJIYR0EMuy3bL8/vvvc1esWLFL8T40NPT1d9999wfFewAsLbTQQgstXbt0pB3n\nopswDMM+azvLskx3lYUQQsiL67ZLUnw+X5SXl2eheJ+Xl2chEAiE3XV8QgghHdNtgeHt7X07IyPD\nPicnx1osFqsfOnRofkBAQGR3HZ8QQkjHdNslKS6XK/3xxx/fnTx58mmZTMZZvnz5Hmdn55TuOj4h\nhJAO6q5O72ctp06dmuLo6JhqZ2eXsXnz5nWqLk9nLbm5uRa+vr4XXFxckgYPHnx/69atq1iWRWlp\nqeGECRPO2Nvbp0+cODG6vLxcX9Vl7egilUo5Hh4e8dOmTTveV+tYXl6uP2fOnCNOTk4pzs7OyTdu\n3Bje1+q5cePGT1xcXJJcXV3vBQYG/lZfX6/RF+q4dOnSvcbGxkWurq73FOueVa+NGzd+Ymdnl+Ho\n6Jh6+vTpSaouf0fq+f/+3//71snJKWXIkCF3Z82adbSioqJ/e+up8gpKpVKOra1tZnZ2trVYLOa5\nu7snJCcnO6u6XJ2xFBQUmMbHx3uwLIuqqiodBweHtOTkZOcPP/zw3998881HLMti8+bN69atW7dZ\n1WXt6LJly5a1Cxcu3D99+vRIlmXRF+sYFBQUsmfPnmUsy0IikXArKir696V6ZmdnW9vY2Dyor6/X\nYFkW8+bNO/Trr78G94U6Xrp0aUxcXJxn84b0afVKSkpycXd3TxCLxbzs7GxrW1vbTJlMpqbqOrS3\nntHR0RMV5V+3bt3mjtRT5RW8du3ayMmTJ0cp3m/atOnjTZs2fazqcnXFMmPGjPAzZ85McHR0TC0s\nLDRh2cZQcXR0TFV12Tqy5OXlCfz8/M6eP39+vOIMo6/VsaKior+Njc2D1uv7Uj1LS0sNHRwc0srK\nygwkEgl32rRpx6Ojoyf2lTpmZ2dbN29In1avjRs3ftL8SsfkyZOjrl+/PkLV5W9vPZsvR48enbVo\n0aKw9tZT5feSEolEfAsLizzFe4FAIBSJRHxVlqkr5OTkWMfHx3sOHz78ZlFRkYmJiUkRAJiYmBQV\nFRWZqLp8HfH+++//37fffvuhmpqaXLGur9UxOzvbxsjI6NHSpUt/8fLyilu5cuWumpoa7b5UT0ND\nw7IPPvhgi6WlZa65uXm+vr5+xcSJE8/0pTo297R65efnmzcfwdmX2qS9e/cu8/f3Pwm0r54qD4zn\nzc/oC6qrq3XmzJnzx9atW1fr6upWNd/GMAzbm/8b/Pnnn9OMjY2LPT0949mnzKXp7XUEAKlUyo2L\ni/N6++23t8fFxXlpa2vXbN68+ePmn+nt9czKyrL9/vvv1+Tk5Fjn5+ebV1dX64SFhb3e/DO9vY5P\n87x69YU6f/311/9QV1cXL1y48LenfeZ59VR5YPT1+RkSiYQ3Z86cPxYvXhw6c+bMcKDx10xhYaEp\nABQUFJgZGxsXq7aU7Xft2rVXIiMjA2xsbLIDAwMPnD9//tXFixeH9qU6Ao2/vgQCgXDYsGG3AGDu\n3LlH4uLivExNTQv7Sj1v377t/corr1wbMGBAKZfLlc6ePfvo9evXR/alOjb3tH+jrdskoVAo4PP5\nIlWVszP8+uuvS06ePOm/f//+RYp17amnygOjL8/PYFmWWb58+R4XF5fkNWvWfK9YHxAQEBkSEhIM\nACEhIcGKIOmNNm7c+GleXp5Fdna2zcGDBxe8+uqr50NDQxf3pToCgKmpaaGFhUVeenq6AwCcPXt2\nwuDBg5OmT59+vK/U08nJKfXGjRsj6urqtFiWZc6ePTvBxcUluS/Vsbmn/RsNCAiIPHjw4AKxWKye\nnZ1tk5GRYe/j4xOr2tK2X1RU1JRvv/32w4iIiBmampr1ivXtqqeqO2hYlsXJkyenOjg4pNna2mZu\n3LjxE1WXp7OWy5cvj2YYRu7u7p7g4eER7+HhEX/q1KkppaWlhn5+fmd78zDFtpaYmJhxilFSfbGO\nCQkJ7t7e3reaD0/sa/X85ptvPlIMqw0KCgoRi8W8vlDHBQsWHDAzM8vn8XhigUCQt3fv3qXPqtfX\nX3/9qa2tbaajo2NqVFTUZFWXv7313LNnzzI7O7sMS0vLh4o26K233tre3noyLNvrL80RQgjpBiq/\nJEUIIaR3oMAghBCiFAoMQgghSqHAIIQQohQKDEIIIUqhwCCEEKKU/w+HcQE5QQ4pwwAAAABJRU5E\nrkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x106698390>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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//fTTzwHgk08++cd777331d69e9f0RGHaBgYZnGSsDPFF8fj13q+4lH8J6eXp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\nFBiEEEIU8v8BT6G3rfwU9DQAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1066d3c10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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y52DAYKDGQEwwmYCVTisxjDusy94019z55PPYELYBuVX/myhBSV4Js61n47D3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\nLdOuXbvmIev629LOzz///HsrK6tUe3v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"text": [
"<matplotlib.figure.Figure at 0x10670a2d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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FXQUWnVuE8PRw1Inr5Ov1NfSxxGsJNozY0CGeuU06NgoMojKCSgEOJBzAxfSL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\nCqHAIIQQopD/D2C8E3z8wQd4AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x106742190>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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G2jkKDNJhlVaXYu/dvTiaeBR3cu6gsKoQXThdYG9oD08rT3ww6AMY6Rq9fkVK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\nAABATmDCAAAAkBOYMAAAAOTkb96dO6GR94O7AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10677ae10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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7sGXLljndu3d/DABhYWHLIyMj52pra8s3bNiwyM/P7yQAXL9+fdDs2bO31tbW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\nAAAABIGGAQAAQJAfui6fE8HKmtYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1067b0290>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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sPrPxbrd3m3ThPhWGYfDX3b+w6+YuXJFeQUFFAdrpt8OArgMwxWUKZrrNbJFD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\nAABwBIUBAACOoDAAAMCRb0/qyVTSGU87AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1067e8b10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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jU0TdRBgqGooZ/Wdgmss08PX4rV6LklHidNppHEg6gKs5V5FXkQc+lw8HcweM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\n+8/clN3EO1HvIDEvETXKGs1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JWowCgxDSaliWRa2q9g8de/0OXf26Ul6JCkXDDr1+R974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\nCAYAEcEAICIYAEQEA4CIYAAQeQEZh0sLYuTk1wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1068221d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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A74Z/B446R4UlJC2t4ZfuVatWNfmcTbrtgcViMSwWi/qRyBtdz7yOnbd34oLw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\nA1UWowAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10685a090>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Ru+2HulqKYRhsT96OL+K/QEFlgbqco8fBMP4w7Jq+q80XHJKOgQKDdHpKpRJn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\nEKIRCgxCCCEa+f/nlyXGip7ufAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x106892d10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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oVNgqmGIxBYcWHKIn0pFnosAgvUZhdSEi0iMQ+TASKcUpqG2uhaqSKuwH2WOG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\nhBAiEwoMQgghMqHAIIQQIpP/D0OM5BujF6NNAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1068c6190>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Y3n86vg3+FsZ6nWNOKdIxtDbo7enpeX/u3Lm7Bg0adFtHR0fu4+OT+N577/1U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\nBiGEELVQYBBCCFHL/wPCsXuKcbu0lgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1068ffa10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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sUspSUN1YjR4aPdDHrA8mOE7AYs/FsDOy67TyCEQCHEg+gKNpR5FYnAi+gI+e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\nAoMQQohcKDAIIYTIhQKDEEKIXP4/oimgnh7eH0MAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x106930bd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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zD8/FhcILkMqlAAA9hh587HywfeJ2+Pb01XEJSUeiYCCdnqRFgpj0GMSmxyKl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\nSAEKAwAAAJDCP5LM55fYXXyJAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10696ad50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Idg/uspeHgNbZSt9NfBf7bu1Do7xRvZ5nxsN/x/0Xy0YsgwHHQI8tJJ2BgoF0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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10699fb10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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jtLEUvfV6Y5BgED4c+yHeHPomrIy6/hV1Wlka3jn8Dk7nnVZONmPAwNnCGd+G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\nYtXL9pW74uq9tLHd+/9tr2iqgKmBqcp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"text": [
"<matplotlib.figure.Figure at 0x1069d6090>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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TjfJG2JnaIcQ5BFMDp2JawLQutRrpw9TJ6vDxiY+xPXM7appr1NuN2cYY7zMe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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x106a12190>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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kgY2RDUY4jECYbxgmOE8Am62+8QzVjdV/nPX/KQRqGmvgYu6ieLmauypCoJdx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\nm3cAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x106a44f90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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tNmWb7upfFwL1+SiSF8Ha1Bq+dr7dAWDnhwSfBPja+9L6P2TAdam6cDD3IA7e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\nAAAWFAYAAGD5H8VQ+sy5EUb4AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x106a7ecd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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loUuwJmbNqJaVvp1Wr0W+KB+Haw+bB6R7db3mJStSAlOwKmYVVkStGJcuIRN1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\n443qDW4sFothsVh3XUP7bt8NDQZCCCG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"text": [
"<matplotlib.figure.Figure at 0x106ab9ed0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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3IDwd/TRWBa3CLOEsk904HgCuN17HwaKDyK7LRnlLObpUXYbWQIpvimHrClOe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\n/wdRumg5mMss6QAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x106aee550>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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iqKj6VPiy8kscbziOMnUZDEYDXHguiPSNhBvfDbohHboGu2CxWcABB/7u/lgQ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\nf8OIwlIoPILRYkSNtgYXWy6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/OQY0jh49mr99+/YDALB9+/YDhw8f3jiRBSWEEDL5xjQl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\n8BugYwIJNM4wDwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x106b2a650>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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1W24PU5vThk5tp1fm6ma0qFqgsWhQJimDQqZg8l1L2oXjOIzNjbE+m1XN6NJ2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\n",
"text": [
"<matplotlib.figure.Figure at 0x106b5f450>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x106b989d0>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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