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@xiangze
Last active October 21, 2016 08:19
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a trial script of emcee(python MCMC library)
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{
"metadata": {
"name": "",
"signature": "sha256:9bbdc2c4a12fb3539645b63aceb98d42b1aa908676fb0ade8048c8c3a3d5e51e"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"emcee"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"http://dan.iel.fm/emcee/current/user/line/#the-generative-probabilistic-model"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"%pylab inline\n",
"import pylab as plt "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"test data\u751f\u6210"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"m_true = -0.9594\n",
"b_true = 4.294\n",
"f_true = 0.534\n",
"\n",
"N = 50\n",
"x = np.sort(10*np.random.rand(N))\n",
"yerr = 0.1+0.5*np.random.rand(N)\n",
"y = m_true*x+b_true\n",
"y += np.abs(f_true*y) * np.random.randn(N)\n",
"y += yerr * np.random.randn(N)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(x,y,\"o\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"[<matplotlib.lines.Line2D at 0x5ddd170>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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uvErSAtq3Cd7C+Hi8DdC94lWS+ii1Ng4GeUmqMNsaSJJmGOQlqcIM8pJUYQZ5Saowg7wk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\nuZGrUikAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x5d64910>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u6700\u5c0f\u4e8c\u4e57\u6cd5\u306b\u3088\u308b\u63a8\u5b9a"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"A = np.vstack((np.ones_like(x), x)).T\n",
"C = np.diag(yerr * yerr)\n",
"cov = np.linalg.inv(np.dot(A.T, np.linalg.solve(C, A)))\n",
"b_ls, m_ls = np.dot(cov, np.dot(A.T, np.linalg.solve(C, y)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y_ls=[b_ls+m_ls*i for i in x]\n",
"plot(x,y_ls)\n",
"plt.plot(x,y,\"o\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"[<matplotlib.lines.Line2D at 0x687aa30>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ExAUUzEVEXEDBXETEBRTMRURcQMFcRMQFFMxFRFxAwVxExAUUzEVEXEDBXETE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\nIjb4/0dZZnD+HswTAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x687a430>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import emcee"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u7121\u60c5\u5831\u4e8b\u524d\u5206\u5e03"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def lnprior(theta):\n",
" m, b, lnf = theta\n",
" if -5.0 < m < 0.5 and 0.0 < b < 10.0 and -10.0 < lnf < 1.0:\n",
" return 0.0\n",
" return -np.inf"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 90
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u5c24\u5ea6\u95a2\u6570(\u6b63\u898f\u5206\u5e03)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def lnlike(theta, x, y, yerr):\n",
" m, b, lnf = theta\n",
" model = m * x + b\n",
" inv_sigma2 = 1.0/(yerr**2 + model**2*np.exp(2*lnf))\n",
" return -0.5*(np.sum((y-model)**2*inv_sigma2 - np.log(inv_sigma2)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 91
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u63a8\u5b9a\u4e8b\u5f8c\u5206\u5e03"
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"\u30d9\u30a4\u30ba\u306e\u516c\u5f0f"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def lnprob(theta, x, y, yerr):\n",
" return lnprior(theta) + lnlike(theta, x, y, yerr)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 92
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"sampling"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u521d\u671f\u5024\u306e\u6c7a\u5b9a"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import scipy.optimize as op\n",
"nll = lambda *args: -lnlike(*args)\n",
"result = op.minimize(nll, [m_true, b_true, np.log(f_true)], args=(x, y, yerr))\n",
"m_ml, b_ml, lnf_ml = result[\"x\"]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 93
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"walker"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ndim, nwalkers = 3, 100\n",
"pos = [result[\"x\"] + 1e-4*np.random.randn(ndim) for i in range(nwalkers)]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 94
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob, args=(x, y, yerr))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 95
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"result=sampler.run_mcmc(pos, 1000)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 97
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"samples = sampler.chain[:, 50:, :].reshape((-1, ndim))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"samples.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 68,
"text": [
"(95000, 3)"
]
}
],
"prompt_number": 68
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"plot,\u53ef\u8996\u5316"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"xl = np.array([0, 10])\n",
"for m, b, lnf in samples[np.random.randint(len(samples), size=100)]:\n",
" plt.plot(xl, m*xl+b, color=\"k\", alpha=0.1)\n",
"plt.plot(xl, m_true*xl+b_true, color=\"r\", lw=2, alpha=0.8)\n",
"plt.errorbar(x, y, yerr=yerr, fmt=\".k\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 24,
"text": [
"<Container object of 3 artists>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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xuNZrD9Mb0wKBADt27OCP/uiP2LFjB8VikVwupw0cr0Uef1KWfY0l8WlHIFgi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\nRERERERERERERERERERERERERJbs/wF4qtogt9QUgwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xb828eb0>"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import triangle\n",
"triangle.corner(samples, labels=[\"m\", \"b\", \"ln(f)\"],\n",
" truths=[m_true, b_true, np.log(f_true)])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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/YWFh1KpVix9++IHZs2eTl5fHTTfdxKxZs86aRbB27doMHjyYI0eOEBMTw8SJ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\nvuMX5vneAAAAAElFTkSuQmCC\n",
"prompt_number": 47,
"text": [
"<matplotlib.figure.Figure at 0x12b42750>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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/YWFh1KpVix9++IHZs2eTl5fHTTfdxKxZs86aRbB27doMHjyYI0eOEBMTw8SJ\nE3n22WeZOnUqK1euZMuWLc7WBxER8RwqBNxIUFAQQUFBJCQkkJ2dTbNmzZxzAaSlpfHaa69x5ZVX\nkp6ezp49e5z7FRUV8euvv1JYWMiUKVNo1qwZ77zzDh9++CFz585l2rRpLFq0iISEBM1AKCLiYVQI\nuBFHC0FgYKBzxsHbbruNWrVqAZCdnc1///tfnn/+ebZt20br1q2xWCxs2LCBLVu28Omnn3L33Xez\nb98+fH19GTlyJJGRkbz22mu8+OKLjBs3jscff1zrEoiIeBAVAm7IYrEwefJk5s2bx0svvUSPHj2c\n3xs3bhyvvvoqPXr0YM6cORQUFHD69GmqVatGr169aNmyJXv37iUvL49hw4Yxa9YsRo0axZtvvsnd\nd9+N1Wrl5ptvNvDoRESkMqkQqALGjh3L6NGjqVatGtOnTyc0NJSUlBT8/f2ZM2cOwcHB+Pr6smfP\nHgIDA+nVqxf5+fmsWbOGMWPGMHfuXJ588kkWLFjAxIkTWbVqFb1792bYsGHcdddd6i4QEanCVAi4\nIZPJ5Lx5e3szatQo5s+fT//+/QkICGDhwoUEBATQsmVLzGYzubm5PPHEE9hsNnbt2sWRI0do2LAh\nWVlZzJkzh/r16/Pcc8/RrVs3VqxYwV133cWvv/5KfHw8VquVDRs2GH3IIiJSQVQIVCFfffUV8+fP\np127dqxfv56kpCT8/PzIz89n8eLF3HvvvaSlpZGbm4vJZHIOPkxOTmbQoEGsXr2afv36kZSUxA03\n3MDevXs5ceIEbdq0MfrQRESkglSFQuAW4FGjQ7iKiIgIoqKigOLljQ8dOkSNGjU4efIkGzdupGnT\nphw+fNi5lHGDBg1o2bIla9asoXPnzqxZs4bmzZvz22+/8fDDD5ORkcG2bduIi4tzLpUsIiJVx4UU\nAjWBJ4ClQAzwGFCjIkNdhAhgGvCz0UFcgbe3N97e3vTp04ePP/6Ydu3a8f3339OgQQOaNm1KSkoK\nnTp14rbbbiMrK4vk5GSOHDlCVlYWWVlZrF27ljp16rBjxw5sNhtr167liSee4NVXX2X16tXMmTOH\nmJgYow9TRETK0YUUAh8BHYE3gZlAJ2B+RYa6QGHAx8A/gTjAD7gCqGVkKFcQFBTEddddxy233ALA\n2rVr8fLyolmzZmzcuJGioiJCQ0M5fvw4NpsNKB53UK1aNTIzM6lVqxa5ubm0bt2a5cuXc//997Nn\nzx52794uip0xAAAgAElEQVSNv78/8fHxGkAoIlJFXEgh0An4B7AOWAuM/eMxo2UChUAToCHFLRbv\nAPOAYQbmMpzZbKZZs2a88sorXH311QCsWbMGb29vevTowbZt2+jTpw/XX389Pj4+REVF4e3tjY+P\nD0lJSWzfvp1ff/2VX375hdq1a/PRRx8REhLCb7/9Rm5uLps2bWLTpk0GH6WIiJSHCykEtgPXlPi6\nF/BjxcS5KLuBQcBrwE/AIuBmYBVwOxBgXDTX8d5773HTTTfRqFEjvvnmG3Jzc7nqqquYP38+JpOJ\ntm3bMnfuXOx2O0VFRaUmEnK0DJjNZj7//HPuvvtu7r//fhYuXIi/v7+BRyWeIDc3l/3797N//34K\nCwuNjiNSZZW1DPGuEttsBA4CdqA58L8KznWhdgKDgeuBOX889gFwJ8U5M861U1VbL74sFouFr776\nijvvvJOYmBi+//57evfuTUhICDt27CA0NJTAwEAOHjyIj0/x28FkMmG32zl69CiNGzcmMzOTsLAw\nPv74Y6ZPn86//vUvRo4c6ewesFgsRh5ihdJ68cZo1qwZW7Zs4brrruP48eM888wzTJw40ehYIlVS\nWYXALWV8z5Xmn/0Z+KXE18OARkDK+XbwtPXiU1NTadOmDWFhYezbt4+NGzcyaNAgOnbsyIEDBxg2\nbBgFBQXk5+fzv//9z9kqcOjQIQ4fPozJZKKwsJB27drx+uuv8/LLL/PGG2/QuHFjateuzYIFCwgI\nCODGG280+EjL36WsF18VCk273c7rr79Obm4uR44cqfSfP2DAAPbv3w8Uv56Oq1yqGhWa4grKKgT2\nVVaIcmAHTMA9wFPAHUDl//dyYSNGjKBevXrMmVPccLJy5UoGDx5Mo0aNWLhwIVdeeSVJSUml9nG0\nDABcccUV7Nq1i549ezJz5kwee+wxJk6cyJQpU9i7dy+ZmZlVshC4FFWh0MzOzuaZZ55hwoQJ+Pv7\n62y8glxKoSlS3qrCPAIl/Q4MARKMDuJKzGYz6enpHD58mI4dOzoXLFq+fDl+fn5cccUVbNiwgdat\nW5faz9FVYLfb2bt3LyEhIfzwww+MGTOGV155hccff5zHH3+cnJwcAOLi4ir3wKRC1ahRg2nTpjFt\n2jQiIyONjiMiFaQqFQJ2iq9s2G10EFf1t7/9jZUrV1Kjxp/TQKxcuZJ69erRpUsXfv75ZwYMGMCV\nV15J+/btSw3QSk5OZsOGDRw7doy3336ba6+9lmeeeYZ///vfvPvuu+zZs4dff/1VKxeKiLiZqlQI\nSBkiIiKIiIgAYOjQoVxzzTV07doVLy8vVqxYgclkolWrViQmJlKnTh2qV69+zuex2Wz06NGD2NhY\nbr31Vp566imys7NZsmQJBw4c0MyDIiJuRoWAB7r22msZOXIks2fP5rHHHiM0NBSr1UqNGjWoWbMm\nR44coaCgoNQ+1atXd962bNnCwIED+eKLL3j22Wdp2LAhKSkprFmzhunTpxt0VCIicinKGiwoVZBj\n1cKAgAB8fX25+uqradmyJc888wyrVq1izJgx7Ny5k86dO3P06FGuvvpqvv/+e2rWrEnNmjUBKCws\n5LPPPqNBgwZMmTKFO+64gyVLlrBr1y58fX1Zvnw5+/fvx9/fn/bt29O4cWPMZrPBRy4iIueiFgEP\n1LdvX/r27QtAQEAA/v7+fPrppzz//PMsWbKEAQMGYLVauf7669m4cSMDBgxwrloIxYPIGjVqxPHj\nxxk4cCBfffUVQ4cOpXHjxvzwww988MEHrFu3ju+++87IwxQRkQugFgEP5Dg7L3mW/uOPP9KqVSse\ne+wx3nzzTWbMmEF0dDR33HEHn3/+OfXr1yczMxObzUaDBg2oU6cOhYWF/PDDD3Tv3p3169cTGRlJ\nbGwsX3zxBdWqVWP48OHs3r0bk8mkFgERERelFgEBwMvLi44dO1K7dm169OjBW2+9RVZWFsuWLSM6\nOhqTycStt96KyWQiOzsbb29vAgICOHHiBBs3biQnJ4dvvvmG1q1b06pVKwoKCli9ejXLly/XlQQi\nIi5MhYAAxdMEWywWunfvzn333Ufz5s1p0qQJGRkZzJgxg5EjR/L9998TFhbGsWPHyMgonr25bdu2\n5Obm0rhxY3x8fLDZbHTv3p3u3buTkpLCp59+yuuvv27w0YmIyPmoEJBSIiIiiIyM5Pbbb+emm26i\nT58+HD16lI8++oi///3vbNmyhbp165KTk0NKSgqnT5/GZrNRvXp1nnrqKbZs2UJQUBBNmjRh+PDh\nFBUVsWbNGk02JCLiolQISCmOqwqGDh3KnXfeyTXXXEOdOnXIzs7mww8/ZObMmVSrVo1bb72Va6+9\nlh07dmCz2QgKCiIuLo7evXvz3nvv0bNnT/bs2UP//v1JTk5mxowZ9OvXD0CXGIqIuBAVAnJegYGB\njBgxgiuvvBIfHx+mTZvGuHHjuPPOO9m8eTO5ubl07tyZli1bYjKZAKhfvz79+/fnlVde4YEHHiAr\nK4sHH3yQ7777jqNHjwLF89iLXIxvvvmGp59+mqeffpo9e/YYHUekSlEhIOdkNpud4wZGjhzJjTfe\nyLRp0zh69Cjz5s1jwIAB2Gw2du/eTfPmzUvt27hxY6Kionj22Wd59NFH+eqrr5g3bx5paWkA5OTk\nsGjRIiMOS/7CmDFj6Nu3L4MGDcLb29voOAAMHz6cW2+9FX9/f1avXs369euNjiRSpejyQTkvx1n+\n0KFDGTp0KN9++y2ff/45MTExfP/994SEhDB69GgWLFhAVFQUeXl5zn0LCgpo0aIFTzzxBC+99BKP\nPPIIx48fB2Dfvn3Uq1ePyMhI4uPjgeLBimK8L7/8koULF1KnTh0CAgKMjgNAhw4d6NChAwC7d2sp\nEZHyphYB+Utmsxmz2UxkZCRvvvkmX3zxBbt37yY4OJjY2Fief/55PvroI9avX1/qMsGwsDD8/f1Z\nsWIFkyZNokWLFgCsX7+eVatWGXQ08lf69OlD3759CQ0NNTqKiFQCtQjIRTGbzQwYMIA6deowe/Zs\nxowZw6uvvsrEiRN54YUXWLZsGREREdSrVw+TycQNN9zAkiVLuO6667jlllv4H3Dy5El27dpFt27d\n6NSpE/PmzTP6sMpVdHS08/6Z682LlGS1WrFarUbHEA+nQkAuWq1atRg6dCgrV65k/vz5vP322zz3\n3HM8+OCD7Nu3j88//5whQ4bQsWNHoLiPd9KkSSxZsoT/bbMxbtw43nnnHRITE51NvlVJyUJApCxn\nFopTp041Lox4LHUNyCWZN28e0dHR1KpVi/Hjx3P06FHeffdd6tevz7///W8++eQT4uLiKCoqomXL\nltSpU8c5RmDlypXMnTuXU6dO0b17d4OPRETEs6kQkEsWFRVF+/btnV+npKSwbt061qxZw6effsrJ\nkyd544032Lx5M0VFRVSrVg2Axx57jCeeeAKACRMm0K9fP8aMGcPp06cNOQ4REU+mQkAuy9/+9jf8\n/PycX//0008UFBTw5JNPMmPGDGbMmMH27dsZMGAAXl7Fb7crrriCadOmERwcTH5+PlarlZMnTxp1\nCCIiHk2FgFyWSZMmMXPmTEaPHk2vXr3w8fHh008/JTw8nDvvvJOaNWsyffp0hg4dWmq/m2++mX79\n+jFkyBAANmzYgNlsZtiwYcyaNcuIQxER8UgaLCiXxdvbm1GjRjFq1ChiY2N54403SExMZObMmUBx\n90HrThb8gpqTn5+Pb9fhvPXRUkzzl1LXF3bGxzNr1iyioqIA2Lp1K3a7nXHjxrFkyRIAIiMjDTs+\nEZGqToWAlJuIiAiSkpIICwtj6dKlbN++nfT0dKqlZVHv+r/h+8d2vl2HA5ATv5jo6GjneAGAAwcO\nlHrOzMxMkpOTMZvNlXUYIiIeRV0DUq78/f1p1aoVs2fPZvTo0dSqVYuTJ0+cd/u2bdsSFRXFdddd\n53wsOzubTz75hMjISGfXgYhDUlISmzZtcg5CFZHLYzI6gAHsEc8vNzqDuKm45wZD2X839pKzK7qy\ngdNWEPvszSxbtsw5de+UKVNITU2lfv36Bqc7t3feeYePPvoIgMTERL788kv69u1rcKry88e03p74\nf1kM5IlvOLf5R+3O7HY7s2bNYuHChew7VsSVI6ectU32xg957z9TsNvtZGRkMGjQoFLrFXh5efH6\n668TFRXlvOLAaBfwj9pt3l+OQqBz585cffXVNGrUiDp16jB58mSXeb3L0r9/fyZNmkT//v2NjlJu\nVAiIETRGQCpMVFQUQ4YMIeKOe8/5/T17fuMf//gHFouFwsJCWrRowS+//OL8vs1mw2q1MmTIEJYt\nW+Z8Til/jz32GJ07dzY6hogYQIWAVAjHyoXBwcF0at2MtG0LSU1NpfnNj7H1g2cAyDuWxpbf0ujZ\nsyf79u0rVQQ4xMTEcPr0aby9venXrx92u9353CIicvlUCEiFWzL/fQAeeOAB9gKNqheyf/9+Tp06\nBcBbb71V5v4rVqzAbDZrqWIRkQrg+h2BUmU4Jgrq0aMHixcvpmfPnhe0X1FREQcOHGD27NnExcUB\nEBcX57wvIiKXzt0LgT7AGKNDyIVxDEAbPXo01atXJz09nYCAAOrVq3dB+ycnJxMTE1OREUVEPI67\nFgImoC7wLjAJGHfG98SFRUREEBERQbt27ahevfpFjfpevXo1M2bMcD6PiIhcHncdI2AHcoCPgCIg\nDKgJvPbH98QNrFixgrvuugubzYbZbCY5ORkfH5/zThJTrVo1jhw5wuuvv86gQYMIDAwE0NgBEZHL\n4K6FgIniD/xC4ApgHjAW+C9QAEz8YzsVBS7KMfJ/9OjR2O12Xn75Ze644w5SU1PJysoiIyPjrH0K\nCgooKCjAZrNhs9n47rvvSi2D7Cqio6Od98PDwwkPDzcsi7g2q9WK1Wo1OoZ4OHctBBwf8F8CdwBr\nAAswDfgAFQBuIyIigu3bt5OamkqfPn3YsmULtWrVorCwkNzcXGw221n7nDp1ih07dtC2bVtnq4Ar\nKVkIiJTlzEJx6tSpxoURj+WuhYDDSaAdcB/F4wReAroB91M8fuCcdMbmmkaMGEHnzp15//33CQgI\nwG63s379+nNu+/PPP7N27VrGjh1boZl0xubaFi9ezPbt26lWrRrjx4/H19f3r3cSkVLcvRBIBg4A\nzwJRwFfA9UBSWTvpjM21dO3a1XnfZDLh5eVFfn4+ZU3Va7PZ+OWXX3jttdfIycnh/vvvr5CxAlX1\njG3Hjh0AzJ8/n2PHjhmc5tKMGzeOLVu2kJaWxnvvvcfNN99MmzZtjI4l4naqwgj7ZkAj4Mc/vvYC\nzm5P/pPbzAVfFTnmtz+f5ORkABISEnjiiSeoW7cu+fn5bN++/Zzbe3l50aBBAxYuXMgXX3xB3bp1\nefnllyskO1SdtQZuueUWCnqMo9Gvn+Dr68urr75KgwYNjI51ydq0acPXX3/t9oWA1hoQI7h7iwDA\nwT9ujj+esooAcXFmsxmAuXPn0rt3b8aOHcv333/P7t27OXny5Fnb22w26tevz9atW9m9ezfNmjWr\n7Mhubf78+UZHEBGDVYVCwMH1T8PkojRr1oxu3brh7e3NjTfeSEpKCj/88AM2m815meFNN91EQEAA\nMTExdOrUicjISJKTk50FhYiIlK0qFQJShUyePNl532Kx8NlnnwHQu3dvDh8+THZ2NidPnuTgwYMc\nPHiQ3377jePHj9O9e3d+/PFHBg0apPkFREQugAoBcQuOeQc2bdrEokWLeO+99/j55585dOgQRUVF\n2Gw2ioqKSExMJC8vj+zsbIKCgtQyICLyF9x1imHxYH379uXjjz9m6NCh1KpVi1OnTtGwYUNq1qzJ\n/PnziY+Pp3nz5qSmpjoHH0rVl5KSwsGDB885GZWInJ9aBMTtpKamAlC3bl3atm1L3bp1KSws5Nix\nYxQUFFBYWEjbtm0NTimVqVOnTowcORIofn+cPHkSHx/9exO5EPpLEbfVpUsXunTpQkBAAO+++y6J\niYl07NiRZs2asXTpUk6cOEGTJk0q9HJCd7Jq1So+/fRToHgegY49DA5UjpYtW+a87+vrW+YcFCJS\nmgoBcTuOQYBBQUFA8ZwD/fr1o3Xr1uTk5FC3bl2aNWvG1q1bycnJcXYPePp4gRUrVpCfn0///v25\n7rrrWHTQ6EQi4go0RkDcltlsxmw2ExgYSNu2bXnkkUcIDg5mw4YNrFq1CoD9+/fzxhtvAMWTFXn6\nmIFrrrmGe++9l7vvvtvoKCLiItQiIG6v5GWCPXr0YNOmTeTl5XHixAmOHTuG3W6nSZMmpKSkOMcX\neHrrgIiIgwoBqVIiIiLo1KkTS5cuJTExEYvFgp+fH+PHjyc0NJQhQ4YYHVFExKWoEJAqx2w24+/v\nT3BwMNnZ2Rw+fJgTJ05w/Pjxs1oC4uPjATT5kIh4LBUCUuWYTCbnpWSLFi0iMzOTsLAwgoKCKuWD\nX8tcG2/r1q34+PgQEBBA69atjY5zXlrmWlyBCgGp0iIjI4mLiyM9PR2LxeIcI1CRBYGWuTbWwIED\nefTRRykoKCAzM5MDBw4YHem8quoy1+JeVAhIlRcYGOi87/jgdxQCUvUsX74cKL5KpFu3bganEXF9\nKgSkyjvXWb/GBIiIFFMhIB5n0aJFQHG3QVW3detW3nvvPQA2btxI+/btDU5UuU6cOMH7778PQPv2\n7enTp4/BiURcjwoB8Tg7duwAPKMQWLduHfv27WPYsGF069aNwYMHGx2p0jRs2JC///3vbN68mbS0\nNN5//302b95sdCwRl6NCQDxO//792bJlC7GxsURERDiXOK6qunTpwj//+U+jY1S6atWq8dZbbwGw\nefNmHn30UYMTibgmFQLicSIiIpyL0syaNQuTyURUVJTBqcqP3W53zqh44sQJo+OIiIvTWgPiccaP\nH88XX3xBREREqceryloEy5cvp3HjxoSEhDBz5kyaNm1qdCQRcWFqERCPZDKZMJlMPPjgg0ZHKXcn\nT55kyJAhLF682OgoLuXkyZMkJiYCEBwcjJ+fn8GJRFyDCgHxOG+//fY5Hy85/bCmHq5agoKCMJlM\n3HnnnWRlZREeHs7HH39sdCwRl6BCQKQKSEtL4+mnn6aoqIh9+/YRHBxsdCSX0rJlS3bu3AnA4sWL\niYmJMTiRiOtQISByDu7WErB3717Wr1/vnN7Y3fJXJi8vL7799ltuvPFGAO6//36tSikeTYMFL5Kr\nLRDianlAmSrL8ePHqV27Nt7e3oSFhRESEkKzZs0YM2YMoaGhRscrxZVe/5tvvpl58+bx6KOPcsUV\nV/CPf/yDXr160atXL9auXWt0PJFKp0LgIrnSPzRwvTygTBXtkUceITIykrvuuov69etTUFBAYWEh\nK1eudNnjdKVctWrVYuDAgdx44428+uqrDB06lNdff52mTZvy888/Gx1PpNKpa0DEDTz11FMkJCQA\nEBsby0cffYS3tzePP/443t7eBqdzX3Xq1KFp06b06tWLJk2a8M477xAbG4uXlxevvPIKISEhRkcU\nqXAqBEQu0IWuWLh3717sdjs1a9YEICsrCy8vL7Kzs/nuu+/w8Sn+szObzXTo0IETJ05w+vRpAL78\n8kt27tyJr68vmzdvJicnBz8/P9LS0pg3bx7+/v7861//onfv3hVzkB5swoQJzrklXnnlFXr16kWN\nGjVISUmhd+/e1K9fn7S0NPz8/LDZbOTl5TFixAgAAgICuPbaa0s9X1FREXa7HZPJhN1ux9fX1/m7\ndygsLHTObFm9evVKOEqRs1XtuVXPzQr0NTqEuK1tQPcyvr8DuKqSskjVsxPoYnQIERERERERERER\nERERERERERERERERERERERERERF30rdvXzugm26XerNSBr2/dLvMm5Xz0HtLt8u8WREn++WYMmXK\nZe1f3lwtj91edqaI55dXXpASpkyZYj98+LD98OHDl/U8FP9BVdj7q6RLyXsx74fK/F244vvUwZWy\n/cX7q8x9Xek4jMxy5vtar0uxst5bWnRIRETEg2mtAfEYZrPZ6AgXxd3yioh7UovARQoPDzc6Qimu\nlgeUyUiuepyumgtcO9vFcKXjUJZzc6UsJXniokN/dJeIEQZOW0HsszcbHeOS/bFSXFl/N27z/nL3\n30VV9BfvL7d5bxlJ7+tzK+u9pRYBERERD6ZCQOQCxcfHGx1BRKTcabCguITk5GQAmjRp4nzsj6Ys\nuUAlm43PfO0cr68GIIrImdQiIC4nLi6OuLg4o2OcxWKxGB3hL7nqaycirkstAuISHGeqFTUYyl3O\niCsqp6sft4gYR4WAuBSTycTAgQNLPbZo0SLsdjuRkZFA8YdlQkICgYGBdO3a9aznKKuJ/GK2qQgX\n+3P/avvDhw8DkJqaCkBERASLFi1i0aJFztdLRKQsKgTEbaWnp5OcnHzes924uDhMJhMRERHn3WbW\nrFmYTCaioqIqMmqpnwec9+edK6ejqf/MAik5OZnU1FSCgoLKOaW4qujoaOf98PBwl70u/VLk5uZy\nww03cOrUKaD4+F577TWDU7kvq9WK1Wq9oG1VCIjLi4yMLHVmbDabMZvNzg9Cx2OepGQR4Hg9HCIj\nIzXQsooqWQhUNdnZ2fz222/ExcXx008/MXv2bKMjubUzC8WpU6eed1sVAgLA6dOnAfD29q7Un1fW\nz1y4cCFw/g+24ODgcz7ueOzMM+iSHGfZUVFRlfqhGRUV5RzQV1Y+h3N1lTg4ioCLUfJ1hz9f45Ej\nR17U81zMz6ms95S4P19fXywWC/n5+eTk5LB582YAWrZsqZavCqRCQJzi4+Px9vYuc3S841r68hhB\n72gef+edd8rcLjk5GZPJdM4PvXM9diED7pKSkoDiPnVX8Fev65nHdCEFwLleh7i4OJYtW0anTp2A\nVpcT+Zwcx+EoBNzhSgtxPWazmQYNGvDoo49y9OhRevbsyYIFC4yOVWWpEBCn999/Hy8vL95+++1y\ne87LGQVfcnCgg+NM/nI/wMPCwi5r/8tREcXHpb4uZ77G5dXF8v777wN/jokQuRjNmzdnw4YNACxe\nvJiYmBiDE1VtKgQEKG6+bdasGXa7HbvdXmqgXUnldYbn5eXF7NmzWbRoEQsWLCAyMpIZM2bg5eXF\n5MmTgT+b+IODg7HZbM6byWRyjhmIjY1l69at9OzZk4iICOLj49m9ezft27cv80PtXFcbVPQlhmU9\n/1+9rqmpqWzcuJG2bdsSGBiIyWTCYrGwatUq5zYmkwmbzQYUv77n+jnbtm0jODgYf39/OH45R3M2\nu91Oly5diIuLIy8vj5CQEHULiLgBFQLiNHnyZOcHbFJS0jkLgYt1oR+qycnJ5OTkUL9+/fNuU/Ks\n92Km+y3P7oyKcqkZf/vtNwDGjx/vLJzi4uLw8vI663fneI3r1q171vOUV/ETHx9PUlISo0aNcplu\nF3F/iYmJTJs2DYDBgwe79N+yO1IhIKU4PmzDwsIuaRDdhZxVx8fH06VLF+DPKwKSk5N5+OGHmTdv\nHjNmzHC2Cpxp7dq1ZGZm0r59e6C4KIiIiMDLy4tFixY5n/NSVPSVB5fz/BaLhV9++YWMjAwiIiKc\nv5trrrmm1HaLFi1i586dDBgw4JzP8/DDDzN37lz27t0LnN0qAqXnadA/XKloGRkZnDhxwnkF0Jl6\n9+7N0KFDKSgoYNOmTeTk5Oh9Wc7cvRAwAVqXswJYLJYLKgRiY2PJyMigb9++BAcHl7ntjz/+CBQ3\nc5d8bpPJRNOmTYmPj+fQoUOYzWZsNhteXl6lthk4cCCZmZmYTCYaN24MQEpKCgkJCTRs2NB5duwQ\nHx+P3W53/tNwDGA784y5Mq8aKCoqAuCbb77B29vbmaHkP7bt27c7HyuZbc+ePUDxa+5orenWrZvz\nUkKz2YyXlxcWi4UbbrjB2bqTkpIC4Hxdc3Jyip+w7p+XITq6GgBn99C5nFnoObqRoPgqja5du3L0\n6NFSz6FLGaUsLVq0wM/PD5PJxJVXXnnW95s2bcrzzz8PwL///W+OHj1a2RGrPHcuBPoBA4GfgS8p\n9x5Pz1RRXQHJycns3r0b8CM0NPS8+48dOxaLxUJycjLp6emlLpErecZfcgChw6BBg875nI4PKsdZ\n8ltvvQVU/hUD48ePx2azMXPmzDK327RpE3B2N4Hj+NLT08+7r6M1ZOHChWRmZjJkyBDS0tKAP383\nDz/8MAD/mLuz1FlYyQ95s9l8yR/gERERFTZVtFQ9p06dYu/evfj6+hodxWO5ayFwE/Aq8B7wNHAK\nWGJooirqr5r6z/Vh+ldN9I7nOvO5LRaLc7Cbg+ODqkmTJmRmZgKl+9Ptdjtms9k51W7J5w4KCqJJ\nkyZnLcLTvHlzw89Sb7jhBnx8zv3n17ZtW+DsyyZLFgaO/I5mfIcL6X5wTMYExXMRnK9J9nz7wp+/\n4xEjRpRZ2ImI63PHQqAl8DoQBawGMoEewDFgL7DHuGju73I/IOPj49m7dy8tWrTAZrORnJzM+vXr\nCQgIoEOHDrA3xTnq/8yzxpKFQdOmTQkODiY5Odm5nb+/P5mZmRw5cgSAgwcP0qxZM2fupUuX4u/v\nX2pynDMn5ElOTua5554zZCbCC70sc+DAgc4m+0aNGhEbGwvgbDZ1FD6OD3DH62O3253bnjlBUGpq\nKocPH3Yet+P3bDabS83OGBcXx65du5wf7me+To4irGSzf1mTOomUt7Vr1/L4448DxS2IHTt2NDiR\n+3PHQuB3YBDFH/jNgLeAz4CngB3AhxR3F0g5+KsPzJKX6zkuyRs0aBA2m434+PhSs4FZLBZYkUJc\nXJxz/v+4uDgSExNLtSzEx8eTnp5Ow4YNS3UNBAQEAH+OlC95Jmo2m4svibvA3O7A0aJR8owfil+f\ntLQ0AgMDCQoKcrYUOEbsl2xRAEhISCAjI4OgoKBzLlF8vvEgCQkJfPvtt7Rv3x6LxVLqd12ytacq\nvGSl7kYAACAASURBVNbiHm6//XZnS9rnn39Oq1atVAiUA3crBByDA0ue9T8KfAC0AP4LdECFQIU4\n14I56enpziZ7+LP52jEw0Gw207dvX1JTU885MZBDyeb+b7/9lszMTBo2bEhCQgKpqalYLBZnsTB9\n+nSys7Od+5ZsNfgr7vKhVXIwnmNFwW+//ZbIyEhSU1NLjehPTk52vmZhYWFnjS1Ys2YNUNxVs3Tp\nUuDP7gdHUeZ4ntDQUJo0aQIUFwIlf7fp6ekEBAScc8T2Xy2mJFIeWrdu7WwNKL7yRcqDuxUCJXkB\nBykuAgD2Ab8AjYwKVJWdqyk/Li6Oo0eP8re//Q2z2Vzq+45R/W+//TbHjh1zthIA/PrrryQmJtKn\nTx/n9qdPn6bh/7N35uFNlWkb/yXpmjTd0jRt6ELpSilLFWQbVmXTUZZRRnR0QAc/UVxmHBWVGVfU\n0XFcEBlFHZcZUBwBFWUZBMrSAi2UlhYoLQW6p2nStGnTNm2T7494XhIoKIgKmvu6uEjT05P3nJxz\n3ud9nvu+n4gIqqurCQ8PJzw8nMjISJxOJ19++SUlJSViFXr11Vdz+PBhiouLPZQFP0dIK3X3csqg\nQYPE+9I5d5+wN27c6BEoDBw4ELPZzL59+0hISKCsrEyoF1avXs2ePXsYMmQI4MqySCqDvn370rdv\nX9asWcPOnTuZPn26x5jgpBLjwIEDP/vvwgsvfq64FAIBX6Dzm9dOXAGA45t/7rgVuA6Y8eMN7ZeF\nU1d7paWlmM1mxowZA3ga/hgMBg4fPkxFRYXY3rXKLWTPnj0cPXoUvV5PaGgoy5YtIyYmhi+++ILC\nwkK0Wi1Go5GioiImTpz4jdoA8RkOh4MxY8Z4ZAvg/P0DLgWc2oEROI0/4Q7pnGVmZjJr1ixRblmx\nYgVHjx5l5MiREDJOmAtt3rwZtVrNxIkTBQfDYDCwcuVKjh49Ks5xVlYWFouF6dOne2RXpk6d6nUR\n9MKLSxQXeyBwNXAbsBeoAj7EFQAovvnfCaiA0bjUAzOB0p9kpJcIvq0r3NlUAtJEL9Xmk5KSMJvN\nyOVy5HI5DoeDvLw8HA4H/fv358svv0StVnP55ZfT3d0tVoxTpkxh27ZtgMsQ56uvvqKyspLXX3+d\nGTNmYDAYcDgc6HQ6ZDIZN910EzU1NVRXV9PQ0IDD4aC2tpaGhgYiIyPJz8/30MF/m9Lhh7YS/q44\n13HIZDKhEjhy5Ajh4eGi7GI2m0lKShJGTfv37xd/J1kzazQalEolISEhIoCIjY0V32NBQQHLly8X\nQVZ5eTlyuZwrr7ySa6+9FofDIbISdXV1OJ1OwT+QfCS+6zF5uxN64cXFg4s5EBgKvAY8jmvCX4Cr\n/v8o0I0rGOgGWoGtwFVA7U8x0EsN0sNaYtyfKyTyWkZGhoe8beLEiZSVlVFWVsakSZMIDQ3l4MGD\nhISEYDKZviH5hTBr1iwaGhqorKykpKSEyZMn88EHH7BmzRpmzJhBTk4OAAMGDBBpbol0qNFocDgc\nwlTkXOVvPydI5ElwOUFKQZHRaKR///7o9XpWrFghSjJvvPEGwcHBzJ8/n7KyMoqskJubS3FxMaNG\njfLYd1lZGXK5nL/97W+AazsJ4eHhF7wl7MUSnHnhxS8RF3Mg4AtsAaTek1uAbFxBwWO4goCrgPG4\ngoO2n2CMlxzy8/N57rnn0Gq1Pbb/PduDWCKVSRrynkxnLBaXr5OUPdDr9WzduhWtVvuN/C2Empoa\nDh48SGtrK7GxsRw6dAhwOeAtXryY2NhYKisrxWoTXCnujRs3smbNGqKjowkNDSU8PLxH8xv3Y+jJ\nw/9imWx6Gse39RyQjnfChAnASb+EoqIi6uvrKS0tpbKyksjISAwGA+vXr0epVAo+xrFjx8jLy3NN\nvLHJKJVK1Go1BQUFqNVqNBoNBoMBi8XiUfNft26dmKxlMplQEpx6DOdybvPz83n11VfR6/Xcd999\n3/nvvPDCiwuLizkQaAd0QDgur4BaYATwFVAIfIyrZHDOpYAnnnhCvB47dixjx4793oO9GNHTpKJQ\nKAgKCjqtuY+0anS3o3VfpeXl5Yl9paWlkZ2dzZIlS0hISECr1ZKTkyOY6+PHj6ekpASA4OBgGhsb\nSUxM5Oqrr+aL/xziySefJCgoiO7ubrq7uxk+fDhRUVHs3r2b8vJyxo8fT3JyMmFhYYSFhQGI7EFQ\nUJBgvGs0Grq6uli6dClyuVyQ2dxT1Gdz4fsu2Lp1K1u3bj2nv/m+15fRaPRQWLgrCAAWLVqE0+nk\n0UcfFQz/AwcO4HQ6CQsLw+l0otVq2bZtGzqdjtjYWFJSUli4cCH//ve/OXLkCFVVVQTGTkWpVKJU\nKtFqtYwYMYK3334bpVKJ1WpFLpcLUuGRI0fIyckhMDCQzMxMurq66OrqYtOmTQCi3wOcNEKSII3R\n/RikcpK0nbuXwS8J53p9/VKeXV58f5zLtXWxu34sBQYDQ9ze+wOgxFU2OB84fyn2p6d26HMPCE5N\nxZ4aCBgMBrKzs0lOTmbixImsX7+e5cuXk5yczF/+8hc2btxIbm4u8fHxbNiwgf379xMcHMyAAQM4\nceIEAJMnT6ayshKZTMagQYMYPnw48/5ziKJ/3iEyASqViri4OOrr67nyyitRKBSMGjWKG2+8kQ0b\nNvDZZ58BrlWoWq1m5syZguG+ZMkSUWs+UyAg4UJNMN9MXGe7b7739XWmsS9fvhxwyaakQECaSCVv\nAel8/eEPf8BoNJKXl0dVVRU2m42Ghgb8/f3Zt28fjY2NjHjoI6o+egiNRsOwYcMYOHAg5eXlVFZW\ncuDAAWpqahg9ejSLFi1i1apVfPzxx3R0dBAcHMzgwYOZOXMmixcvRqVS8dhjjyGXyzEYDKI0AYg+\nEO59DMDVawEQDZQuhQ6RPwa+5fr6WT67fH19sdls52wxPH/+fNLS0pg/f77H+5Oe/pINf7nmQg7x\nZ4GzXVsXa0bAD7AD84C1wE7gN0AdEIGLKyCpB7zoAVLKWK/Xf+eWvYsWLUImk/HYY49hMBgIDw/H\nZDLx8MMPExQUJPYr6c1NJhNZWVmYTCZSUlKYO3cuEyZMYM6cOeKBr1arue222wCEDXBXVxf+/v6E\nhITQ0dEhsgd6vV6YheTn57N48WIsFosILgIDA1m3bh2NjY1MnDgRi8XC4cOHmTVrFgMHDvQ4dmmF\neSlOLNLEL9X73d8DmDNnDoWFheTn55OTk0NlZSVqtVpkeerr68U53b9/PyaTicDAQAIDA3E4HPj4\n+Ijz3NXVRXh4OFarlfLycq6++mqKioqw2WzU19dTWVkJwLx58xg+fDjr169n/fr1FBcX09DQQFRU\nFMHBwcBJ46K0tDQxXoPBwIoVK/joo4+48cYbGTRoEIsWLRKtiiX09D15eQNeePHj4GIMBBS4ggBw\n1f5fwhUELP3m/QHADXiDgO8MiUnudDqF7S94kgWlVO3hw4d5+umnGTJkCDfccAP5+fl8+OGHKJVK\n5s6di1arFdmDsLAwYTIzZMgQYf/7/vvve3Sl27JlCwUF3zS4SZ1FZmYmERERPPTQQ3z++edkZWUx\nePBgrrnmGtavX8/+/ftxOp3Ex8eTkZGB1WolICCAwMBA8vPzCQ0NJS0tjVtuuYXt27efZnPr7nkg\ntTgGvrU74sWIhoYG6urqiI6OFvLImpoaFAoFCoUCs9lMTU0NQ4YMES2J1Wo1drudN998k46ODubM\nmSNKLAUFBQQFBWGz2WjF5feQmJhISEgIvXv35uDBg2g0GiZMmIBMJiM5OZno6Gg2bdqEyWQiMTGR\npKQkoqKiiIyMFGOSy+Xs2rULq9XKiBEjWL9+vTgGq9UqZIoSoqOj6d+//1mtiKWyRFdX1xn7Mnhx\naeKqq64S5UZfX1+vB8VPjIvt7pKUAAAv4uIEPIuLKJiOqyRgwmUz7MVZcDbpnMFg6JH1/dhjj7Fu\n3Tpee+01ampquOqqq9i1axeBgYEMGjSIjIwM9Ho9Dz/8MADPP/88e/bs8UhlGwwG4ZGv1WpZt24d\n+/bt48SJE7S2ttI7dRazZs0iOzubLVu2AJCenk5UVBSvvfYa5eXlJCYmMnDgQG6//XbWrVtHbm4u\nl112GbGxsWzYsIHc3FySk5MxmUyiHa+7BE1qRCQdb1FREVqt9qIPBE5dAet0OpxO52nflV6vF8ci\nyTDDw8PJzMwkJycHtVpNYWEh5eXlhIWFUVxcjFqtJi4uTuyjrc3FrY2NjcVqtXLllVdiMpnYsWMH\nhYWFWK1WUlJSAM8S0+jRo9FoNOTl5VFSUkJERIQYa2hoKKWlpSxcuBC1Wi0IitOmTRNE0+XLl9On\nTx/GjRvX4zGfepxe/Dxx/PhxNm/eTJ8+ffDz8ztvCWlxcTHr1q1DJpMxduxYAgICLvBIfxm4mAIB\n9yDg70A/YOw3P8vw2gafF1asWIHT6WTWrFksWrSIpqYm7r33Xg8yoASJjb5582bq6upYunQpxcXF\nDBo0iD59+gjf+bq6Oqqqqnj22WexWq2kp6eTlJREeXk5hw8fRqPRsGzZMkpKSoiJiUGlUhEZGUlV\nVRUAzz77LNHR0cTExGCz2ejTpw+A+L3EAXjnnXfIzc3F39+fvXv3cuzYMQIDA2loaGD58uU0NDSQ\nkZFBeHg4CoVCBCru3Q+lEsGFlrv9UHCXQkqvpeBKp9ORlZUFuIhiRUVFWCwWDh48SFVVFWlpaUJt\n0draKjI3FRUVREREiBT+pEmT2LBhA0ZONm7avHkzeXl51NXV4ePjg5+fH21tbWzevJmcnByGDx9O\naGgoixcvJi4ujtDQUMxms1jRS5LSqKgo6urqSE9PF0ZT9fX1rFixAo1Gg9lsprKyEq1Wy8SJE3ts\nJy1h5syZAKxc6W0s+nNEcHAwoaGh5/33v/rVr3j//fd57bXXyMvL47333uOaa7zcgPPBxRQISEHA\nP4A0XC6BnXgGCF6cI8xmMw6Hg4ceeoidO3dyzTXXiJKAO/FIMquRgobDhw/z6aefEhkZyTXXXMOz\nzz6LUqkkNTWVO++8k/nz57Ns2TJmzpyJxWLh888/x2g0otVque6667BarbS1tWG1WjGbzaSkpIiJ\nrbGxEYDLLrsMg8FAU1MTBw4cwG63069fPywWC0lJSezZs4e6ujquuOIK2tvbqaurw8/PD4CdO3fi\n6+tLREQEubm5yGQyjEYjs2bN8rDbjYyMJDIykq1btyKXy09zH7yYSGp6vZ6ioiKWL19OXFwc06ZN\nQyaTUVRURG5uLn369PFoxfzAAw/gdDpJSEigra2Nw4cP43Q6RUZGpVLR2dkpvm+Hw0F3dzeffvop\n+/bto2/qLNrb2ykuLqa0tFQQRW+//Xaam5vJzc3l+PHjBAQEEBsby9dff43JZCIoKIjExEQmTJhA\ncHAwWq2WkpIS5HI5LS0tpKamMmPGDJGJkUo1TqeT3/zmNxQVFbFp0yZRVpLL5T2u/js6OgC8ZQEv\nesSNN97IjTfeCCAMr7w4P1xsd1gckAJMxRsEXBBMnz6d7u5uXnvtNUaOHMljjz0GeKbMpe5z0uos\nMzOTzMxMoeEHRGq9pKREENHUajWxsbFYLBbS09OxWCx89tlnGI1GevfujVKpZPXq1TQ1NREWFobd\n7qJ+DB8+HIPBwNatW7Hb7QQFBVFTU0NERARKpZLq6moSEhJEKnvgwIGEhYWJ1bDZbCY0NJT4+Hhh\nLCSlsaVjlo7xTGWQix2SR4JMJsNgMIiVU3JyMlqtlu7ubpRKJceOHSMhIYHbbruN8PBw5s+fT3l5\nOTabjb59+1JfXw+4JIkVFRUEBARQV1cngjHp/7S0NI4cOYLD4aC01KXIlb7/q6++mt69e2M0GomN\njWXbtm3U1NQwYcIEYQddUFBA79696devn8dxGI1GnE6n8B2QJv3vIutctmzZhTmZXnjhxVlxsQUC\nFcCvv3ntA3T9hGP5WUCv19Pd3c3zzz8PnG4TfOq21dXVon2w1FsgPz+fUaNGkZqaSklJidCmTpw4\nURgDqVQqWltb0el0FBQUsHPnTrEiVSqVGAwGrFYrAIcOHaKrq4tjx1xUD41GQ1JSEiNGjKC1tZWK\nigreeecdevXqxdixYykoKCAnJweVSsXjjz8uJr/U1FRxPEOGDCEjI4ONGzdiNptJS0vzOLYxY8b0\nSEi6GDIB7pBKHVLLYJlMRkZGBiNGjABO+iIMGjSIVatWMWnSJHbv3k1cXBxTp06lvr4epVKJzWZj\n2LBhbNiwQfR7yM/PR6VSERMT4/GZ7e3t7N69GwCVSsX+/ftRq9W0tbXR1dXFvn372L17Nx0dHaSn\npxMREYHFYmHNmjX8/e9/JyYmhuHDh4tmUe7HAvDuu++K96Kjo9Hr9R6ZmTMRxbwcAS+8+HFwsQUC\n7vAGARcANTU1FBYWAq4Hs5Q+i4qKEq+dTifLly/HbDaTmJgIwJtvvolKpWLAgAH861//wmq1Mm7c\nOAYMGEBLSwudnZ3IZDL279+P3W6nrKyMlpYWAgICkMvlhISEYDAYsNlsqFQqj7RdZ2enB6mnu7ub\nESNGCG+BxsZGWlpaaG9vF/wCyXxIIsFJDY+GDh1KRkYGNTU11NbW4nQ6OXr0KE6nk9GjR4u0uFT2\nkNQMEsnwp8SGDRuAk1p68Jz8ysvLcTgc9OvXT5AG6+vrOXz4MPX19ZhMJhISEqivr+eTTz6hsLCQ\nefPmMWHCBAoLC6mpqRGlFIDQ0FBsNhv79++nvb0dcE387e3tdHV10bt3b6qrqzlx4gTDhw+nqamJ\nY8eOUVtbS0BAAA6HA6vVikajITIykrq6Opqbm6msrCQmJoampib27t1LTEwMkydPRqPR8Pbbb3P8\n+HHi4+PZt28fY8eOZd68eeKa1Ol0KBSK0wys4KTctCcHSy+88OLC4WIOBLy4ACgqKqK0tFS48U2c\nOJGNGzcKD3/JNGj79u0YjUYRCGRnZ6NSqcjOzqasrExYz7744ovU1dURFxfHwYMHBUlMmujb29vx\n8/NDp9OJ1Wtrayt2u12sFpubm4mIiCAkJISmpiZaWlooLy/HarWKVL9Go6GsrIzGxkbGjBnD4MGD\nxbj8/PxQKpWEh4ej1Wo9jnf58uXk5uZy7bXXivohcFqb5IsZ0kRYUVFBTU0NSUlJZGRk8Nprr1FX\nV8dNN90EwI4dO+jXrx/9+vVj7dq1NDY28u6775Kamoper2ft2rVYLBYSEhJITEzEYrHQ3NxMd3c3\nKpUKcE22vXr1Er0gbDabqMl3dnaKMXV1deFwOKiqqqKmpoaYmBjBH/Dx8SEnJ4eIiAiKi4upq6tj\n6NChbNy4kYKCApKTk4mMjKSwsJCsrCxhMhUXF0d4eDjp6ek9rv6la8ubGfDCix8W3kDgIsSFNlKR\n3AElmEwmzGYzJpNJ9AYAUCqV9OvXD4PBwKBBgyguLqakpAQ/Pz9UKhWVlZXU1dXR3d0tWOU2mw2A\nUaNGUVFRIdLSx48f90j5lpeXC3WA2Wyms7NTlAq6urqoqKigsLCQjo4OwsLCiI6OJigoSJQc+vXr\nR3BwMG+99Rb+/v48//zzDBo0SJDnpOZDDQ0N+Pr6ekjlToX7CvynxLdlJOLi4nA4HCLYsVqtYgKP\niIhAr9dTVVXFddddR2xsLB988IEot5SUlNDZ2UlLSwtlZWWMGDGCTZs2Cc6ANNl3d3eLToWhoaEE\nBATQ3t7O3r170el0DBw4kNLSUmw2G0qlUnQyBPDz88NmswlzqLCwMLq7u6moqCA3NxedTseIESOE\n89v999/P8ePHUSqVBAUFCVmjJCV0h3QPnBronWk7b7DghRfnD28g8AuATCajtraWZ555hqCgIMaP\nHy9S6AB9+/bliSeeoKKiguTkZKZMmcKQIUNoaWmhtbVVONVJFqASy//JJ5+ktLRUaM6lSSQ/P5+W\nlhYPtrfVauXIkSPo3H52h5QG12g0ZGRkoFKphEd9SkoK2dnZACQmJtLa2sp7770nTGtuu+02MVk9\n+eSTxMTE9DgxXAyTvzu+bTwSRwNcE951113HihUruOWWW5DL5QQEBKDVahk9ejSHDx/Gz88PvV5P\nR0cH5eXlhIaGEhkZCbi+s5CQENrb22lubhb7dVdYtLe3i5KB2WwmODhYmA8BBAQE4Ofnh4+Pj2gH\n7efnR0BAACaTidbWVtRqNV1dXezZs4ebbrqJvLw85s2bx3333UefPn2oqqrCaDQik8lE9sfpdFJd\nXY3BYCAqKkqMJyMjA4PBQH5+Ppdddtn3PNteeOHFmeC1c7oIIXWYO1fk5+efZies1WrRarUYDAZa\nW1upq6ujtLSU8vJywJWmX7hwIfX19bS2trJ+/Xph4jN69Gi++uorEhIShFa/tbUVcK0oDx06RFtb\nGz4+Phw4cACj0cjevXtpaWkBTjrDSdtLcjD3Y5Me/E1NTTidTkJCQrj88sv56KOP2L59O+Cyyd27\ndy979uwhNTWVp59+msLCQiwWiwg2jh49ypEjRzAajT/b1WFeXp6YPDs6OmhqasJisWA2m6mvr2fA\ngAEMGDAAcGUMjh49yvHjx+no6GDz5s2EhYWRkJBAdHT0aex+QAQBEhobG0VnyICAADo6OjCbzXR0\ndGCz2bDZbMjlcjH5t7e3k5aWRnp6Ol1dXeTk5Ai1yLPPPovNZiMlJYVDhw5RWVlJv379iIuLIysr\ni9WrV3t8d9L/Z1IXSNf6+d4rXnjhxUl4MwI/EX7olKYkncvOziYsLIwxY8Zw//33Cy3/smXLhG68\npaWFyMhIAgMDMRgMfPbZZ0RGRnLo0CG2bdtGdXW1h/tXaGgoKSkpfPHFF1gsFoKCgqitraW2ttZj\n8pfwwAMPEB8fz7333gt4mubU1dWJ1wqFApvNxnvvvSdWoampqbS2thIcHExzczMHDhygqqoKu93O\nddddh1KpZP/+/URHRzNy5MhvPS8Xk2/Aqfi2sTU3NxMYGMjs2bOF6qKkpIRVq1YRGxsr+kFER0cT\nHx8vJnGTyYSPjw/19fVoNBp8fHw4fvw47qJKia8hQa1WY7VaPbgfEpqamggMDCQiIkLITltaWoiJ\niSE2Npampiba29upr69n3LhxaLVaVq1axdatW3E4HNhsNrRaLQMHDhTZDGmcS5Ys8ShlScqDmpqa\nHk2wzgfecsLPE1VVVeJacjqdF10G8GKGNxC4yCER3Nwv6sWLFwOu1LF7Hd69p0B1dTUrV64U6f/8\n/HzGjx+PVqtFp9OhUqkwm834+voSFBREUlISKpWKPXv20NHRgb+/P4cOHeLAgQO0trYKK1k/Pz86\nOzupqakRnf9aWlro6OjgjjvuYPv27TQ1NWG1WrHb7fTv35/W1lbefvtthg4dCriyFH369CEvL094\nC0RHR9PR0YHJZCI4OBi1Wi2aDEnHFBgYSO/evbFYLFx++eWMHDmS7OxsZDIZQUFBxMfHe6SWf04o\nKioiODhY2C9rNBpKS0uxWCwEBASQmJjI+++/T3d3NwEBAchkMjQajTAAUigUQh3Q1tZ2GnGyublZ\nlHbAlXGQggBfX1/uu+8+3nrrLcaMGcMXX3yB3W6nra2NoKAggoKCRFlh27ZttLe3o1Ao6OjooKys\nDK1WK6SIPj4+yOVy4uPjaWxspL6+HqfTKYifO3fupLu72yOgNBgMyGQyj4k7MzOTJUuWsGPHDu66\n6y6A87ap9eLSx4ABA3j11Vd59dVXib/5JUpKSk6TEHtxZngDgZ8I33U1IunkJ02a5LEaslgsgr19\nKpYsWYLZbEatVpOYmIjVasVqtVJaWkpZWZnoKhgWFsaIESMwGAyoVCoKCwvp7OxkwoQJHDt2DJPJ\nREdHBwEBAdjtdmw2m1AFtLa2CqLhVVddxd69e2ltbeXxxx9Ho9EQEhJCSEgIPj4+Qvr38ccfs80B\nN998M6+//jp2ux21Wo3T6cTHx4fa2lrkcjmXXXYZ48aN4+jRoxQXFwtSokRE7NevH+Xl5RQWFvL6\n66/zv//9j71791JZWcnhw4e5/PLLz3g+v2sm4EJmDr7rvs70+/z8fEpLSxkyZAgRERGsW7eOHTt2\nkJ6ezrhx4wTf4vjx44DLerW+vp709HTxvTudTlQqFT4+Puj1emEkBK5mTD4+PkRGRlJcXEy/fv3w\n8fGhsLAQnU5HQ0MDR44c4d///jeffvopoaGhXH/99bz99tuYzWaUSiVyuZyGhgaam5tRKBREREQw\ncOBAlEolR44cAVzlBfc21cOHD+edd97BaDQyY8YMtFotycnJ5Obmkpuby69//Wt0Oh06na5HeaXF\nYhHBysaNG7FYLIwZM+Zb7y1vJuDnh0WLFrFo0SLA1YZYWmB48d3gDQQuYixZsoSioiKmTZvm8f7d\nd98tgoIVK1ZgNpuZPn26INcBYuKYMmUKK1euFJOFxWJhz5497N27V9SWJfJZbm4uZrOZrVu30tnZ\nicViEZ3B3EllM2bMYNu2bfj7+zNixAhGjx7NP//5T48V2akmMQqFgtmzZ7Pt3f0cPXqUkJAQ7rnn\nHv7yl7+g1Wppb2/Hx8dH+AtIGQKr1YrFYsFkMhEeHk5CQsJpnew+++wz2trauOmmm05jmV+qaeBT\nx52cnMyuXbuoqalBrVajVqtJTk6mu7tbOABGR0fj4+NDSkoKnZ2d2O127Ha74HXo9XrCw8NFGac/\nMHnyZN544w1KSkowm80MHjwYf39/wJWFKS0tFRkkcDWIuu+++3j++edJT0/n4MGD1NXViRW85BlR\nVVXFqlWr6OjoIDQ0FJVKRUBAACkpKaJLpeRQGRkZKVZvpaWl4tizs7OxWCz06dNHSCbd+0jMmTNH\ntMU+G5YsWQJ4ki+98MKLk/AGAhcJTvX9l5Cens6ECRM8tnU4HCIFnpWVRWtrK9dee634u5SUFHbt\n2sWWLVvYs2cPVVVVxMbGMmzYML766ivy8/Ox2+10dXVhMpnIycnhiiuuoLGxkdraWoxGo2gxXLJq\nSwAAIABJREFU/PDDD7N9+3ZKS0tpb2/niiuuICUlhTlz5pCQkCAmALvd7qEScD8eaRuplPDiiy9y\n5MgRnnjiCW655RZWrVpFWFgYERER+Pr60tDQwIcffkhraysajYbg4GA6OjpIS0ujT58+yOVy7rjj\nDkGCDAkJITg4mNzcXEJDQ8+aEfiuuJAcgu+7r8zMTGpqati9ezdqtZrf/va34hjvvPNOwNUf4P/+\n7/+oqakhKytL2DBLWRu5XC44AO71fonwFxcXR1xcHF1dXeK7s9vt4jqTgglwET8fe+wxPvzwQ0wm\nkwfno7m5mVmzZrF161ZaWlp46qmneOqpp3A6nfj7+2MymYiNjaWqqornn3+emJgYqqqqOHbsGPPn\nz6eoqEjYVR84cAC1Wk1ZWRl5eXnodDrKysrYt28fnZ2djBo1SrRjnjJlSo/nrru72+tB74UX3wJv\nIHARYOPGjTidztN05SNGjPB4iEkP3MjISGpqavi///s/jhw5wowZMzxWvCaTSRgIffLJJ8hkMmbM\nmIFOpyMhIUGQwGJjY4mOjmbv3r1kZWWJVXxXVxetra089dRTrFixggULFpCUlER0dDQymaxHQuC5\nol+/frz77ruMHDmS1tZWMdHExsZiMpkIDAykvb0dX19fampqaG1tJTAwEIvFQnh4OHl5eYSGhjJ9\n+nTuvfdeoqOjWbBggYc0Di69TICEU8et1+t59NFHPVa/S5YsEQ59K1eupK6ujry8PHx8fESbYpPJ\nhFwux+FwYDQaaWpqorOzk1deeYWvml3ZnfOBTCbj1ltvZcCAAbz00ks4HA4CAwMJDQ0lISGB3/3u\nd3R3d3Pvvfdy0003sWzZMhwOB2VlZYArAPH19eXAgQM0Nzej0Wj46KOPhL1xXl4eMpmMF154weNz\np0yZwuuvv86+ffvYunUrOp3Oo+V0T+furrvu4o033mDJkiWXfFbgiSeeEK/Hjh3L2LFjf7KxnCve\neecddu7cCXgShr34YbB161ZhB/9t8AYCFwA9EfrOFQ0NDTzzzDOEhoZyzz33iPflcjlyuRyn0ylu\nov79+2MwGISv/Pjx46mtrRUM/O7ubpxOJ5dffjlOp5Ndu3ZRVFTE7t27qaqqEjV/qfubQqEQNbWo\nqCjMZjM2m42XX36ZZcuWCR6CZEbjnvaX2P2ASB+D56pT2l5aXcrlcjo6OvDz8+PKK69k4MCB4gHX\n3NxMU1MTMTExLFiwgJUrV1JVVUVQUBBms5nm5maSkpIAV7pcGpvUNVF6LaWQpZTypYTly5cDrvS3\n+zUll8s9OCEWi4VRo0ZhtVqpr68nOTmZqqoqwsLCGDBgAKWlpRw/ftwjmLTb7UyaNImlS5cSf/NL\nXH311djtdiH5hJOSPXdTplMtoiUkJibyxhtvAJ5kPalJ0kcffcSf/vQnRo0axfbt26mtrRWckaSk\nJDo7OwkPD2fw4MG0tLSg0Whobm4W17KkfPjf//6HSqXikUceISYmBrvdTkNDgwh44OR96M4Yl8Z0\naoDoDqfTKcoHkvnR2XAh7vfzhXsgcKlh+fLlZGZmkp6ezvjx40lISPiph/SzxqmB4pNPPnnGbb2B\nwEWAiRMnUlVVJbT9Ek5NKbs3dNHpdEydOlU0pQFXMCG5Bv73v/9l/fr1vPzyyyQkJFBQUEBJSQkm\nk4n09HQ6OzsxGAxYLBaPtK/EKI+JiWH+/Pk9khEvJKZOncrf/vY3/P390Wq1mM1mfHx8sNlsHDp0\nCH9/f4YNG4ZWq+Xo0aNisuiJFJaZmcmKFSuEhOjnBvf6OMCcOXOoq6vDaDRSWlpKSEgIzc3NtLS0\n0Lt3b3bt2oWfnx+BgYG0tbUBJ7tIvvTSS/xp1fEeP0eycT6bO+N3RUhICG+++SaPPfYYgwcPJi8v\nT/SjABfbW2qFHB8fz5w5c/jf//4ngpk1a9bQ1tYmVCv19fX88Y9/xGw2nxYInC37M2fOnO99LF58\nf0yZMoUrr7zypx6GF6fAGwhcALgz+88Xer1etAiW4M42r6mpEZNfd3c327ZtE+1iFy1axKhRo9i/\nf7/woo+JiaGtrY25c+dSXV1NamoqI0aMoKWlhezsbEJDQ2lvb6ejowOn08mf//xnCgoKUKvVGAwG\noqOjf5S049ChQ/H39+eFF17ggQceoKuri6ioKGJjYzEajRQWFhIZGUnv3r1JTEzktttuo1evXmRl\nZaHRaJg8eXKP+501axZLliy5JNPB0kS/YsUKZDIZY8aM8fi9ewpcaka0efNmPv30U2JiYpg4caLI\nmoAruJPL5fj7+zN48GAeeeSRs37+gAEDztgR8Hzg4+PDc889x7XXXgu4skVarRabzYbZbKalpQV/\nf3+CgoIoLCykoKAAPz8/srOzsVqt9O7dmyFDhgCQk5ODRqPh4MGDVFZWihV/VlaWR1bIHd9FtXEu\n18iFuN+98OJigjcQuAC4ECnCMz14165dy8GDB8XPaWlpZGdnU1lZSUpKCk1NTeTl5YlWwCqVitLS\nUgICAoiNjWXlypU0NzdTXV3N2rVrqa+vp62tjZCQEGw2m/Dxz8vL44YbbqClpYW2tjYmTpzoQfiT\nXAFPfe0+bndDGneEhYV5/J1UFgBX6vaJJ55g7ty5dHV14efnh0wm88hSdHZ2Ul9fT58+fVi8eDEm\nk4kpU6YQHh6Ow+GgpqaG4uJitFots2bNEj4KFRUVBAcH/6Sp3POBNE7Jhlea+NPS0tDpdBQVFbFm\nzRrS09PF5CqtjBsaGli6dCltbW34+fmJ70culxMcHIzFYvGQVkmlneDgYPGeVMKRsgjSfsFVdjp8\n+DDHjx9n6NCh9O7dW2wjkUEBD3liaGgoMpmMq666ikmTJvHGG2/Q2NhIU1MTZrMZmUxGaGgoZWVl\n5OTkiMBFIjL6+/sjl8tF74tp06YxcuRI3njjDXbu3CmMpC677LLTvmOp4+R3Od/fFZfKdeSFF98V\nl3ogkAA0ApZv2/CHxIVuZ+u+gtmxYwdms1mQ/ySMHz+ejIwMCgsLRQo3PDyc8vJyVq1aRW1trXiQ\nBwQEoFarsVgsYjI2m8088MADLFu2jFtvvVWUGdxrwe4NicD1UDUYDJSWlmIwGNBqtcTGxhIVFSX6\nEJwPBg4cyLBhw0hJSWHlypVER0fT0tJCYWEhgYGBDBgwAJVKRXBwMAaDgcDAQKZNmyac5gwGg5DQ\ngWvFVlpayvjx4+nfv/95j+unxqxZs6isrGTNmjUAjBw5UpCsJAmlXq9n//795ObmEhAQQL9+/fjv\nf/+L3W4nICCAsLAwYd7T3t7ucZ7OBQ0NDSxbtoy9e/cSERFBVFQUy5cv58knnxRGVt+GK6+8kvvv\nvx84qSRpaGggODiYlpYWDhw4QHd3t1CgRERE0NLSQn19PRUVFfTq1YuKigoqKytJSkoiMTERm82G\nWq0WUtmeVv86ne70wXwP/NTtq73w4kLjUg4EpgLPAr8FbMAl7yBRU1NDUVGRqPMbjUaP9sHSNpWV\nlRw8eJDS0lLRNriiogKLxcLy5cvp7Oykf//+tLW1oVKpcDqdnDhxAofDIRzfUlNT2bNnD1988QVx\ncXEeq7+eUFBQwNNPP43T6SQuLo6oqCh2795NdXU1JpOJuLg4kpOT6dWrFw6Hg+7ubsLCwhg2bJjI\nCJwJn3/+OTt37uSLL74AoLKyErlcTlBQEL6+vtTV1dHY2ChWuw0NDcJdUSaToVarue2228T5kTwH\nMjIyLlnVgARJ+282m8WEptPpmDBhAjU1NXz88ccsWrSIhoYGBg8eTGxsLAkJCVgsFtGIKSAgAJVK\nRVtb2zkHbE6nk3Xr1vHKK69w9dVXM3/+fJHNKSgo4PHHH2fu3LkoFAqKi4uxWCzcf//9PZ73jIwM\n5s2bxyeffMKRI0eIjY3luuuu46WXXkKj0VBZWSmyQoDwlGhtbaW8vJwZM2YQGhrKli1bqKurIyoq\niuDgYGbPno1er2fRokVUV1czd+5c8ZlSoPhtwcDFbD3thRc/NC7VQKA/8CRwF1AEXPK5Oqn7mtPp\nJDk5GaPRSHd3t5BbjRs3jkcffVQ0D2prayM1NZX6+no+/fRTOjo66N27N0ajEaVSSWBgIKWlpYSF\nhaFQKLj++us5fPgwpaWltLS0MG/ePCZMmCDS8NIKzZ093tzcjNPpZO3atXzwwQfcfvvtZGRkeJQD\nVCoVdrud48ePc+LECQwGA3K5HIVCQVlZGW+99RYxMTFMnz5dGCM1Nzej1+ux2+0888wzbN26lcbG\nRjHhgYulHhISQmBgIOCSG44ZMwaj0cgnn3xCUVERERERBAUFibS2Xq9n48aNaLVaJk6cSH5+Pkaj\n8ZJ8uLtPTDfffDMbN27kwIEDZGRkUFRURG1tLTqdDqfTidVqJSQkhPnz52M2m0lNTeXw4cPie3Lv\nKujv7y/smgERGEiuhOCa/Nvb29m8eTNff/01ra2tPPbYY4LlLWWK4uPjWbhwIW+99RaRkZHExMTg\ndDqZO3cuL7zwgtjeXWUwdepUpk6dilwup6SkhH/961/odDrmzp3Lo48+Cri8ERYvXozdbqd3795Y\nrVb8/f2FQ6HT6USpVNLc3IzVaiUrKwtAZA2++OILvvjiC37/+9/T0NCATqfzMNvywgsvPHGpBgJ2\nYCuQBfQB7gBqADPw759uWC58Vze7U1chOp2OzMxM9u7dK3oCmM1mNBoNH3/8MVu2bBFufrGxsQwf\nPpyPP/6Yw4cPo1AoRNq4u7ubwsJCampqaG5u5pZbbqGwsJBp06bRp08fEhIS8Pf393hA94SWlhbe\nfPNNSkpKWLBgwRlXVX5+fqSkpAj1ApyUm3V2dlJQUCDUC3CS5f3000+zevVqmpubUavVYiUo7VNy\nFoyKiuIf//gHzz33HB999BFJSUncfPPNpKamolAoxLikksB3aT50qUGr1eJwOMjKyqK8vJw+ffqw\nbt064uPjGTduHAcPHmTv3r2UlpbS0NAg1B5Wq5Xi4mLBCwgJCcFoNJ5VEbB3717+9re/kZSUxKRJ\nk7jiiivOmEno3bs3zz77LHCSFxAVFcWf//xn3njjjTNeM76+vmRkZPDSSy9x8OBBXn75ZYYMGUJc\nXBx5eXnMmTOHsrIyUlNTAThx4gQmk4nq6moRKBcUFJCamkpjYyNhYWHcfvvtADz++OMEBgYyefJk\n9Hq9CBRuvvnmMx7z2YLFS9Wd0gsvvisu1UBADVwBJAIvAIeAQGAaoATe+umG9u04tVWwu0lMfn4+\nJSUl4mEvKQVuvfVWgoODmTZtmiAINjU1UV5ejs1mEyv58PBwQcTy8/PD4XDg7+/PZZddxrXXXutB\n6DoTHA4HX331FUuXLmXYsGG8/PLLHuSvc4Gvry8+Pj6o1WpSUlLAcJIEePfdd2O329m4cSN33XUX\nTz/9NOBimSsUCvz9/VEoFDQ3N/P++++zadMmurq6mDVrFjfeeCPgqV0vKioiOTlZPNQvxUyAhFPH\nnpmZKUyBNBoNERERlJeXc+zYMXQ6HUePHiUnJ4eqqir8/PxIT0/n6NGj+Pn5ERwcjMPhwGw24+fn\nd1ZJaHd3N//85z958MEH6du373mNfejQodhsNt5++22xyj8bBg4cyHvvvSc+/09/+hPvvvsuwcHB\n7N+/n9DQUMGJkPoUjBgxAl9fX9ra2khKSuLtt98GYPr06cTFxWE0Glm/fj0LFy4UstzzmdClrJJ7\nkOvFd0d3d7cgpF4IIzIvfhhcqoFAHq5swApgC7AQVwBwPRD7Yw/m1JX9qQ+a6upq8b5k4avVasX2\nNTU1HkzxtLQ0kSLv1asX+fn52Gw2YmNjmT59Otu3b2fXrl2iBayfnx8+Pj50dXXR3d2NQqGgtbUV\nhUKBWq3mrbfeYurUqSgUCg8uwKms8Pb2dtavX8/69evx8fHhzjvvpHfv3jQ0NHhMuGdih7szz6Xj\naWlpYenSpTz44INiVdnV1UV9fT1yuZwHHniAW2+9lUcffZS7776bZcuWodfriYyMxG6309nZSXBw\nMOvXryckJIRx48bR3NzMypUrGTNmjEdXup+7nEsulzN58mRqampwOp0sXLiQ9evXU1paSnx8PKtW\nraKrq4vY2Fiam5vFNZSZmUl1dbVwEXQnDEoBpNTCeOPGjajVatLS0jzUIe4qDvfsgPu+3E2kJk+e\nzF//+leWLl3qIc2TJmN3T4yQkBDxOjc3l927dwOuEpKPjw9KpVKYWdlsNiorKzEYDKSlpZGUlIRG\no6G2thZ/f39xPUo9J+rq6vj1r3+N0Wg8I1fgVHvvUwMGrVbrcU97+QTfHX/84x9566238PX1RaFQ\noNFofuohedEDLrVAQPbNPwfwIhAK3A78AzAAEUBfXMd10YWfK1asoLGxkenTp3s8WE59XVVVRXJy\nskcDHa1Wi9Fo5LPPPuPgwYMEBgaSnJxMSUmJaC8rITExkSNHjohGQxMnThQP0p7gdDpZs2YN//73\nv0lLS+Pmm29m0KBBHo2GzhdbtmwhKCjorMzyxMREnn/+eaZMmYK/vz8Wi4XQ0FDKy8vx9fUlKSkJ\ng8HAkCFDGDhw4Fld4n5JyM/Px2QysW7dOiIiIhg8eDDFxcVoNBpycnLo6uoiJiaG0tJSmpub2bx5\nMwsXLjzrPlevXs20adO+t0QuMDCQhQsX8te//pXOzk5uvvlm0R1Sq9We8TOeeuopxowZwyeffAK4\ngkaFQiH6WCiVSrq6uqioqABcWSCDwcDkyZPp06cPjY2NGI1GUQIrKioiIyNDBACnBukrVqw4o/8A\neCf77wur1crSpUt/dEOnP//5z4SGhhIUFMRbb73l0QfFi9NxKZwdX0AqZjsBialmBh7CpRj4AvgS\nmAVM50cOAk59WEiGIxLTX3r4SJppSfYGp3tuSzrx0tJSTCYTUVFRGI1GjEYjZrNZELUiIyPFgw9c\n6XTJ772qqgq5XM61115LTk4OmZmZ3HrrrT2O3eFw8Morr7Bjxw5effVVYQ17oTBp0iSOHTvGE088\nIWrJPWHZsmXMnDmTtWvXAq6VZkBAAN3d3TQ2NjJ58mTRaOeWW24Rf/dL1HRLRkIGg0GUCVQqFTNn\nziQnJweAPXv2AC4Ph+3btwNw/fXXi/bFZ4LZbL5gtfCQkBCeffZZPvzwQ2677TYxOW/dupV169bx\n4IMPniaLfe+993jqqacIDg7myiuvZPXq1SJzpVQqiY6OxtfXF39/f+rr68X3n5CQIFabknR2/Pjx\nmEwmioqKPCR/UmMm6XhPVbWcevyn3s/e4ODixx/+8AcAfv/73/Pyyy97ZJ28OB3fFghEAjcAo4He\nuCbiE8A24BPgzMvMC4OrgduAvUAV8CHQzckVvxV4ALgKV7DwH6DsBx7TGXGq1/mpKcYZM2ZQW1tL\nVVUVgEcrVilV2t3dzerVqzEajUyfPl2k0bVaLVqtloSEBA4fPsyOHTvYvn07NTU1OBwOUlNT6ejo\nwGw2YzabGTp0KEqlks2bN4s2vlIDGgkmk4l//OMfNDQ0sGDBAnx8fDxSvdKqC/Bo/etuHKRUKsVr\n9/KBdOMFBgZy55138tJLL/HMM88gH32/h0QMXOS03bt3U1lZiVarJSgoiJCQENEPoaGhAblcLoKi\nDRs2iIfyLzEQgJOTU2RkJPfffz86nY4tW7Ygk8kICwtDpVJhsVioq6sTXJF33nkHjUbjVqZpEKRO\nqdzT2toqvlP3zIvUfwA8+w64X09SBgo80+2zZ89m9uzZHn+fnZ3NvHnz+M1vfsO8efPE79RqNS++\n+CImk4nNmzezZ88e7r33Xh5//HGxTWdnp7i3hg0bxpAhQ9BoNJjNZgoLC7Hb7Wg0GtLT0zl06JDo\nbSDdd5IXBiCyTNJ1dCYegbsx0S/1mruUMHPmTAAPKakXZ8bZAoF3cJHx1gH/BGpxpeWjcRH1VuKa\ndP/wA41tKPAa8DiuAGQBrrT/o7iCAAWuoABg0w80hvPCxIkTRSAgrfj1ej16vV48RCW/AHdIqfjc\n3Fzsdjupqal89tlnrFu3DoCIiAgaGxsFQTAwMFCkPKUa3LFjx5g6dSp2u52nnnoKhUJxmjEQuCbz\nhQsXEhQUxDPPPOPxEL/Q8PHx4Y9//CMvvPACPdHUlixZQl1dHSqVCqPRiNVqpb29nba2NtRqNRqN\nRvAsNm/ejEwmE4HAL7Fem5+fT2lp6Wmr6YKCAoKDgwkLC8Nut4vmPSEhISgUChoaGoiPj+err75i\n6tSpHn8rlYfkcrlHcPdDQC6XM2nSJC6//HIWLFjAuHHjSEtL89hGo9Fwyy23MGzYMMH2VygUNDU1\n4evrKwLDwMBAcnNzycrKIjExkdjYWOLj46mqquL1119HJpMJ7srXX38tXlutVgYOHAi4AgNp4ne/\nXyWc6rLphRc/N5wtEHgVKOzh/UPAZuB5YMAPMahv4IuLCPifb37eAmTjCgoewxUEXIkrG3B28/Sf\nCD2lWKX3Fi1ahNPpZOrUqcIrQNLR9+7dm+PHj4t0vtTVr62tDaVSKVjhcHIi7OrqoqGhgbvuuouc\nnBzef/99jxW6O06cOMHDDz/M0KFDmT17NgqF4gcNBMAlB5w9ezab2jntoerr60tQUBAdHR1iEmpr\nayMwMJC0tDRiY2NRq9XodDrBNZBWxBfaNe5SwYgRI8jMzGTDhg2YTCZ0Op2QBEpe/SqVipaWFux2\nO4GBgfj5+ZGbm0tTU9NpgcB//vMfvv76a15//fUfrZ4aERHBVVddxZdffnlaICAhOTmZBx98kA8/\n/JDjx48L++HBgwdTX1/PwYMHiYqK4tixYxQUFJCSkkJ8fDzHjx+nvLycyMhIsS+r1YrVaqWiooLA\nwEBmzpyJTqfzON5f6vXkxS8bZ7vjX8Y10f4NePgM2/QUKFwotAM6IBwXH6AWGAF89c3nfgzs4zxK\nAT9UT++eUoanBgPSNr169cLpdNK/f38+//xzmpubufvuu+ns7GTu3Lnk5ubyySefEB4eTkxMDDab\nDa1WS0tLCzExMahUKjZs2CBY3y0tLVx++eVkZWXx9ttve6Ry3dO327Zt44UXXuDWW2/lV7/6lai/\nSmTCU33ov/76a2pra3E6ncjlcvr27csVV1whUvvuk/qZgon/rt2I1S5DLpcTeEU6Dz7zCuHh4YQr\nffnrw/ejVCppbGwkIiKCyMhIOjs78fX1JTY2lvb2dqqrq4mPj2f16tWEh4fzu9/9TgQCgwYNIj8/\nn/z8/B8kK3AuPb0lXMjrq6eMh/vrsrIyLBYLffv2paKiAqvVis1mIz4+nvj4eNra2qiqqqKtrY32\n9nYcvkFYnEHM/fOT+F72Wxa+uBSrtYVD+3fz7F8XACevF3eCqbtSpL6+nuzsbEJCQkhISCA4OBil\nUimCuM7OTjZt2kRtbS1RUVGkpKSI60UKYKXrbOTIkTz++OPMnj0bPz8/j7bWUrnsmmuuYceOHQwZ\nMoQPPvgAPz8/6uvrMRqNOJ1OmpubiY2NpaOjg+LiYnx9fZk6dSqhoaEMHz6choYGNBoNo0ePpry8\nHLlcjl6vJyoqCr1e7xEwn4kf8UOVA87n+vLCiwuNswUC0cBIXFa+H+MqC7gv5fb9gOMCl0SwGtgA\nDPnmvVpgCa4AAVx9Bs5Z4H4x9PQODQ3F6XSi1+tRq9V89NFHfPXVV1x99dVMmTKFIUOGYLVaqamp\nQalUUlVVJVQEki66q6sLvV7PoEGD2Lt3L9dffz033HADcrnco74Prgl71apVvP/++zz00EMMGDDA\n46F76ralpaWsW7cOhULBhAkT6O7upqOjg4KCAnbt2kVycjJJSUmkpKQI6dmZYLXLUA07SfALH+Oq\n25kPfAogVmT+/v7U1dXh7+/PmDFjGDp0KFlZWdTV1bF//34iIyP51a9+BbjStTU1NR4eDD8EzqWn\nt4Qf4vo6U+16xIgRwMmVrBQAarVa+vbtS15eHocOHRLSvsCwSAbd8pT4e8WgmYQCkWaTh6SvJ1RW\nVrJ7926OHTtGv379aG1tZcOGDVitVrq6uggODsbf35+GhgYiIyPp1asXBw4cICsri8mTJws7bHfo\ndDouv/xy/vCHP7Bw4cIevQtkMhnPPfec6DQZFRVFa2srPj4++Pn5ERYWJnoppKWloVKpKCgoQKlU\nMnz4cBYvXkxbW5uwMpYsvF977TUGDRp0VqOhHxrnc3154cWFxtkCgceBv+Cygnuph9+P+0FG5IIf\nLvfAecBaYCfwG6COkxJBOS4Z4UWPnh7i4eHhrF+/nkWLFjF+/HiWLVuGxWLh0KFD/O53v2P58uVk\nZ2fT1NREv379sFqtbNq0iebmZjo6Oujq6sLhcPDb3/6W2tpasrOzz7hqsdvt/P3vf+fIkSO8+OKL\nZ7RbdTqdHDlyhC1btmCz2Rg2bBjJycnIZDIhT4yLi0Mmk3Ho0CGKi4uFdO3Xv/61cIE7V7S2thIU\nFITRaMRutxMeHo7NZiMpKYlDhw5RV1cHnFxNrlixgjFjxmAwGIiMjCQzM/NnS+By95o4FTU1Neh0\nOlavXg3APffcw7Zt29i4cSNGo5EjR46wb98+kTXSarX4f1NmOhXNTU10dXWdsSxgMplYuXIlY8eO\nZfz48fj7+wMngzi73U5HRwcdHR3odDoPjwqDwcDnn3/OHXfc0eO+H3nkEbZs2cLChQtZvHhxj6vy\n4OBgHnzwQd5//32KiooICgoSfTOsViuVlZVi20GDBlFVVYW/vz+333475eXlDBhwsoppNpvFKvxs\nslavo6AXvxR8l6fnX4GnvnWrCwd3EuCjQA6uIKAXruBgAC4lQ9F57t858am133eMXvxCsfGvv4az\n3zfe68uL88a3XF9Od/XEhSxr/lCYM2cOo0eP/lF9BCY9/SUb/nIN4FIvVVRU/CLlg6eWnb7JNvV4\nbZ3tgdYHKP+Wz0oEjp7b8M4K9yDgRVycAMk4Ph2Xe6AJOPY9PsN5IRjA3+ZG5g73DmgDZAtRAAAg\nAElEQVR1dXVkZ2eTnJzMuHHjuOeee1i/fj1paWkEBgbS2Ngo9NB9+vRhz549gkwYFBSExWKhsbGR\nrq4uhg0bxq233ioeBj05weXm5vLKK6/w97//HV9fXw/fAmk1197ezoIFCxgxYgR6vV6sro8dO3ma\n3V0DVW6rSqksYDQaWbt2Lffddx++vr7Ex8eLbT78fItHaUDgwCpee/ohJk2aRFVVFZmZmSgUCgYM\nGIBer6e5uZns7GxCQ0N57rnnxOe46+DPZpf7Q+Cbc3PWQODHYJhL6hOn0ylscPv3709RURHLly8n\nICAAvV5PWVkZ4eHhfPTRRxiNRsIT+jN4znOn7a9u0xv4txl54oknRAZB+v4NBgPLli3jN7/5DTKZ\nzKNHhTsvxL3UJGUMwJVFslqtrFq1imuvvZaMjAx69TrZc8LdkXDTpk20tbXxyCOPePBVpNLH7t27\neeaZZzhx4gQ6nY7u7m6hJFCr1bS2thIQEIDD4RDtjVtbWwXXZsqUKQwePBidTiccPqOjoz3uC51O\nd8b7GCA6Olq4gV7obMG3XF8/yrV1IXExBAJlZWVCOXMmAvUvAWe7ts5WGngOUAGf46rXu8sHBwPX\n4dLx33iBxukeBPwd6AeM/eZnGXDwAn3O94JE3ho0aBArVqwA4KabbvLY5kyGQllZWZhMJpKTk4V3\nuVqt5oYbbmDGjBn86U9/AlyM+V27drF7924UCoXQ/wcFBeHv709wcDByuZz4+HgaGhrOOt6vv/6a\ncePGnbX97GeffUZsbCz9+/fHbDbT0dFxzjdMeXk5AwcOPOc2tzabDYPBIPrQBwYGUlJSwqZNLkXo\ngAEDPAKPU+1ef8lYtGgRgPDzl8lkGAwGoqKisFgsFBQUYDab6ezsFIFhTGzPDtwqpZLi/SVnlMn5\n+Ph8r/KLWq3mmmuuYe3atTQ3NzNu3DgiIiJO2+6OO+7glv9n78zDmyzT7/9Jmq5p2iRNV1sobYFC\nC6VQLJRVxKosgqIjIOOIoyiyzIjLV4cZGRfAGX/KKDI4467suLApUJS9IBRogQIFSgqltE3TpEva\npFua3x/xfSahLeioI2jOdXFRkpC8Sd+8z3nu+9zn/Pa3HD9+vN1WU3p6OtHR0cycOZNnnnmG2NhY\nYaql0WgEMZGEi15eXiiVSpG9IRlmGY1GTCaTW4aARAAk7cnl51lUVBS5ubmUl5dTUFBAUVERo0aN\nEvf/ULHqT613+TUiIiJCCLOjoqJEVoUH7rgSEbgXSMC50M8HpC3eBWAvMIurVwy+DyQS8BqQiJNo\nNONOEK4ZyGQytwuj5PYm9dmLi4vR6XSkpqby9NNPY7FYGDJkCFqtluTkZKKiorDb7WLky2w2ExkZ\nKSoCQUFBNDQ0oFQqkcvltLS0UFpaSnNzM62trfj4+BAbG0txcbE4DlejH5lMRkNDA3v27GHevHni\nPtedj7e3N+fPn2ffvn0MGzYMvV5PdnY2RqMRLy8vhgwZInb8Up8ecLuAq9VqmpubKSgoYM6cOUJw\n5mp57C9rpjb7A/R6PX1++wLNR1ajUHihCVBw8uRJEhISKCwspKWlhYiICI4cOUJNTQ1+fn6oVCre\ne+89tm/fDvzHo+FKkBazrKwsN8+B6xEOh0MQS9csBblcLtT9EmmTjKwmTpzIiRMn2Lt3L4GBgcKB\n0Gq1cvHsCVSBHzvJVa+7aMldA0BYsD9nfXyoqalxmziRntfVUMe1CuBaHXDdwbueL66VglGjRnH0\n6FF27dqFr68vaWlp3H777eL+6upq7rvvPhYsWMBnn32Gn59fm8/k8ccf5+GHH3azGvb398dgMLh5\nTxgMBiIjI+ncuTNnz56lT58+fPbZZzQ2NjJv3jxReZM8PgCOHDkiQoY6+uzB6XPw3wZxefC/g2TY\nVlNTc8XEzV87rjYwXAi89L84kG/RCeiGc1LhmiQBrqx/0qRJbqNrUguga9eu7Sqwhw4dSnR0NKWl\npeTm5rJ3715xX2FhIb///e/ZuHEjgYGBTJ06laNHjwpHQLPZLBZXX19fmpqaeP/9990c11xhtVr5\n85//zKBBgzoM+vjmm2/46quvuPvuu7FYLNjtdqH4bmpqIjc3l8GDB1914ZXL5SiVSvbt28fo0aPb\nPH7KPXfQ0NAgdq4vPDGN4OBgrFYrU6dOZfLkyfzzn/9k4MCBJCUlcfDgQUJCQoSQq7S0FJPJJN7H\n5W0Y139LgTy/9KpBaWmp2I1evnvdt28fx48fJykpieLiYi5cuCDaQGo/Ob+5NYPMzEz+sPYc8592\nuvo1NDRQXV7M8ePHiYiIcHut2tradhfkq0EiJq4IDQ1l5MiReHt7U15ezqZNm8QEioT09HQOHjzI\nCy+8wPz589s8R58+fXj99dd58sknufPOO3nrrbeorKzEz89PvM+amhoUCgX3338/Go2GY8eOkZKS\nIoSV0rFcHiZUUFBAYmKiOJck0y/pM05NTeXIkSOEhob+6CFXv5RzNjs7mw8//FD8PHTo0J/5iDy4\nGr6rc8ggnBUB18d/9OMfDsXAmG9/viaDg64EqUrQq1cvN2V+SkoKW7du5Y033sDhcHDo0CG6d+9O\ncnIyWq2Wzz77TJifNDQ0cNddd1FdXU18fDwFBQXCcXDhwoWsX7+e48ePExkZyZw5c9zCgSSiYDAY\neOaZZ4iPj+eee+4Rrnzg3LW1traybds2EchSVFREY2MjFRUV+Pj44O/vj5+fHxUVFRw/fpyQkBC3\nnq+rI2JsbCwKhYI777yTjRs3YjKZGDx4sJtKW6vVsmbNGgYMGEALzhKuWq3m8ccfp2/fvjz33HPo\ndDoCAwNZu3YtQUFBKJVK8vPz0Wq1PPvss/zud78TO/v23N/a+z38EtIIr/Q+pDn6iooKysvL6dOn\nD3369KGiooJFixaRk5NDUFAQZrOZbt260djYSFFREfPmzePw4cOQ8BvRqz9//jx9+vTh+PHj9OrV\nC4Djx48DTpIqufiBewlb0hOAU1NgtVpFaqRcLic8PFz8P0B4/EuuiL1792bZsmX8/ve/F6ZH4MxF\nePPNN1m0aBHjx493+13X1tYSFxfHe++9x6JFi9BqtXTr1o34+HiWL19OVVUVKpWK6OhoEhISOHz4\nMHq9Ho1Gw5tvvilK/EajkbKyMp5//nm2bt2Kn58f9913H7/5zW+w2+3IZLJ2xXi/1AmVHwvbtm2j\nrKyMsWPHkpaWxujRo3/uQ/LgKvguRGAZTuFgHu6785+CCLjiuiABrhUCqcQo9RE7cinz9/dHpVKJ\nqkF8fDyXLl3i7NmzhIWFkZCQwI4dO9zGou6//37hAZCYmCh6nZeXJ4uLi3nqqafIzMzk1ltvbXPR\nstvtrF27FrvdTmpqqthB2e12ysrKxPPKZDJiYmLQ6/UEBwe7EYH24Ofnx5gxYwSpcSUCdXV1bNiw\ngRUrVvDGEedOccqUKYSEhLB161YiIiLo1KkTQUFBwjVRqVRy9uxZwsPDCQgIcEtivPxz7SjJ8ZcM\n6X1K4UPwnwU6MzNTOOpJ59htt90m7IVramqcwlVg+vTpLF26FHDutD/99NM2mpfy8vKrijIdDgdm\nsxm5XI6fnx9qtZqamhqqq6sJDw93M7VyRXh4OM3NzWzdupXx48eL2318fHj22Wd55pln8Pb2btcz\nXq1W8+abb1JWVsa5c+c4ffq0cOcEJ+FctWqVcKRUq9UYDAa3OOL8/HyMRiMtLS14e3tjsVhEha+j\nc+nXZGf936Jfv34djot6cO3huxCBfjgV+9eXXPVnxpdffolarebOO++ke/fudO/enfDwcFG2Li0t\nZe/evZjNZlQqFb169WL//v0UFxfz7rvvkpKSwqZNm4TIa/fu3SxdupTu3bu7qawvx7///W/uvvtu\nYTTjiqamJtauXYuXlxf33HMP2dnZgFOBXlhYiFKpdCsBBwYGolarKSkp+U4eAVIqnGsoDcCyZcsY\nPHgwsbGxcOQ8drud3bt34+vri7+/PxaLRZgkffTRRxgMBn77298K/4OUlBQCAwPd+rUdCbp+TZB0\nKdL5tHPnTvR6Pf3792flypVUVFSwefNmamtrOXXqFBcuXBDBO6+++ioj/zqMzZs3i95/Rz4C4eHh\nFBUV0a1btysej91uR6VS4evri5eXFxqNBrPZzIkTJwgNDaWxsRGr1dpmlOumm27i3Xff5dixY26/\nT51Ox/PPP8+zzz7L1KlT2z02SbkfFRXF0KFDWbt2LWazmUuXLlFdXY1KpaJr167odDrOnTuHVqsV\ndsYSGRg/fjy///3vAVi9ejWbN2/2LPYe/KrwXYhAPs5JAY+k9SooLi5mwYIFqFQqgoKCqKqqIjIy\nkn/84x+A0/DF4XCION64uDjy8512CEajEavVSn19Pdu2bSMvL89N4arRaKivr0cmkwlyAO72wfv3\n70ev1/P444+7GazU1NRgs9n45JNPkMlk9O7dm2PHjtHc3IzD4eDcuXM0NjYSERHhRgQMBoMYOayr\nqxO7S9fduZTiBs6FqampSSQfAmJccvXq1WLBsdvteHl5iTwBuVyOzWYjODiYyMhIHA4HNpuNlpYW\n6urqqKmpQaVSeUqy7UD6TGQyGVqtlry8PM6cOUNmZqaYNlGpVG3snyWy5u3tTXNzMzabTXj1S+JD\nSVwVGRnJc889h8FgoHPnzm6hRK6kVKfTUVdXh06nw2azoVAoCA0NpbKykvLycuRyOQqFQvTepQkT\no9HI0KFD2bp1K97e3mI8VBr30ul0HD58WJBbVyGqa2tCLpeLKRqr1YrVaqW1tZWKigrOnDlDSkoK\nLS0tNDc3s2jRIsDZbmtpaWHNmjVYLBYiIyOJj49HLpezZcsWwHm+y+VyDznw4BeL9ut17gjFObqX\nBWz89s+Gn/KgrmccO3aMnJwc4uLiAKcAKTs7m+zsbKKiojhx4gQ7duzg6NGjopepUqm4cOEC3t7e\nREREiOQ4nU4nBFAajeaKo4JGo5G3336bKVOmtBnha25uZvny5URHR5OSkiLIg8PhoLi4GJvNRnh4\neLsLrVwuJygoyG3Bbw8Oh4P9+/fTr18/N3Kybt06Jk+e7LYLtFqtKBQKMQ7Zo0cPQkNDWb9+PQsX\nLuTRRx9Fp9Px97//3Y10ZGZmuo1k/pqrAZfj2WefZcWKFfzmN7+ha9euYsx16tSplJaWsm/fPgDG\njh3rJmQNDAwUEyXnzp1r13XS29ubYcOGif5+RwgODqa1tZWSkhK3yF5vb2/8/f3x9fXFz88PHx+f\nNmNcarWaW265haysLE6dOuV2X1paGuvXr7/qZ3D8+HF69OghyA84JxzKy8tpaWkhLi6Oo0ePsmbN\nGjZt2iQqYtLjiouLiYmJESLgs2fPkpOTIz47Dzz4peK7EIG/AuOBBTithl/FOeLnwWWIiopi4sSJ\njBgxgpCQENRqNUajkd69e7v1zG+66SbKysrYuXMnCxcupFOnTiJoBxAVBWm2XjIP2rZtW7uvu3fv\nXh544AEyMjIYNGhQm/uzs7PR6XTcdNNNYrF3OBxcuHCB6upqEhMTO+zh2mw2ampqrtojPn/+PNXV\n1fTr18/t9pMnT7YRuy1ZsoQJEyaInWdcXBzR0dEUFBSwdu1abDYbYWFhDBs2jC+//NJN6e3BlZGa\nmkpSUhKAsB/etWsXFouFmpoaqqqq8PX1FcSsb9++7NmzB3ASrXXr1gkS4Yro6Ghqa2uv+NpyuVxY\nUJvN5g49CQICAigvLxe9fAlarZZJkyaRlZXlRjwzMjIoLCxk48aNV3z9mJgYioqK8PLywtvbG61W\ni5+fH35+fvTs2ZO6ujrxp0uXLmJs8eWXX+b06dMMGDDAjSRlZGQQFxeHVqv1VAM8+EXju7QGdv7U\nB/FLgUKhYPbs2ZSWlorS4/jx4xk5ciTgrA5IF0e9Xs+lS5dYsWIFwcHBQkV99uxZccGWyrc+Pj4s\nXLgQlUolUuQk/Pvf/2bTpk3MmjULjUYj5qql9kFJSQlHjx7lrrvuorKyEqPRiN1uR6/Xi0qA2WwW\ngjNJLAjOheTEiROkp6djsVgoKChwux+gf//+nD17lrKyMubOnYtGoxGfRXV1Na2trcTHxyOTyb5d\nfC6wY8cODAYDCoWCsLAwDh06xIULF/Dx8UGn07Fs2TLAaZF56dIl1Gq1x/f9Kvjwww/FubV3717R\nfurTpw833ngjVqsVm81GXV2diLMGBLkcPnw44eHhhISEMGvWLObMmeOmC2lqahJ+FtJuG3DzHJCI\nXXR0NHq9nsbGRtRqtZgEgP+clxqNRowqulawwsPDGTx4MBs2bCAmJkacT48++igLFizg3LlzPPTQ\nQ4LQuopYY2JiRE5FXV0dQUFBDBgwgIqKCi5evEhJSQkpKSnce++9REREYDQaefbZZ8nOzsbX15c5\nc+aQlpaGXC4XhDYyMpLXX38dvV7P3LlzATokzR54cL3iSmd0HU7nwPb+XHlr8CvDlVLwDAaD231m\ns5na2lrUajX+/v6sW7eO9957D3COGQIiUMjPzw+ZTEZTUxPTpk3D4XC4lWfXr1/PV199xbx589oV\n8zU3N7Nu3ToGDBjgNsJ17tw55HI5kZGRHToItrS0kJubS79+/dBqtdTV1VFeXt4m1dBms7Flyxbu\nvPNOcdGWUFBQQOfOncVFW9oBSqTDz89PaAH8/PyIjIzkmWecUbj5+flCSHm1VLxfO9o7/ywWCxaL\nhczMTBYsWMBdd93FwIEDKSwspLW11W3y4sCBA6JU37t3b1566SUWLVrUph3kcDjaCEEvv7+mpoaa\nmhr8/f3bGBO5QjKLch1FlRAWFkZSUhLr1q0Tt0VHR/PXv/6V7OxslixZ0uHzZmZmMnbsWJqamgTp\n0ev1buftzp07eeONN9iwYQPZ2dmo1WoGDx6MyWQSmh0JUVFRbvbaHnjwS8SViEAgoOrgj+ebcRXc\ne++93HvvvYBT8T927Fiee+45zGYzKSkpjBkzhoiICMxmM/7+/pw9e5aPPvqIoqIi0eO02+3079+f\nwYMHExQUxNKlS7nlllsA50V37dq1PPzww259dFfs3LkTnU4n9ArgFInV1tYSGxt7RfGdl5cX4eHh\n6PV6WltbBZG4fFG22+3I5fI2JjQNDQ2sWrWKMWPGiNv+/e9/A07bz8jISAYMGIBKpSI4OJg//OEP\nPPLII8B/iML48eMJCgpCr9d7NAFXwa5du8jKyqK0tJRhw4axZMkSlixZIs5BgEuXLtHS0oKvr684\nZ4KDg3nuueeYM2eOcADs3r07Dz30EB999JGoMkhEbf369W1K+hLKy8uprKykoaEBmUzW4fisBJVK\nRWNjY7sthK5du3Lx4kW3+8LCwnjyySfZvHlzG/GjhAceeEAErTQ0NFBSUoJSqUShUGA2mzl37hxZ\nWVnk5eVRX19PZGQk3t7eHDt2jH379hEaGtqGWM2dO1dUAzzw4JeI72oo5MEVcLnAShrrAufOtqio\nSJTzpQtw3759ATh8+DA6nY7q6mrxf1QqFZmZmahUKoqKili8eLG4Tyrvnj59mqamJlJSUsSC7mr3\nmp+fz5EjR5g0aRJHjx4F/jNzLoWyuLYYJCthV/OhmJgYjEYjX3/9Nb1792bIkCGA+xy/QqGgsbGR\n5uZm8d7Ky8tZvHgx6enpjBkzBn9/f6qrq1m+fDn9H79NmBo1NTVx++23c/LkSYqKiqivrxdugxUV\nFZw8eZIbb7yxQ6LjgRNRUVGEhIRw9uxZZDIZycnJbgQsMjKSPXv2sG3bNnr06IFWq6VLly6cwEn4\nnn/+ecaOHcuf/vQn3nnnHby8vJgyZQpr164lNzeXAQMGEB0dzSOPPEJOTg7btm0jPj6ezMxMTpw4\nAUBFRYXwEWhubhbnSF1dXbsiV7vdaUkil8vFOQm4TcT4+PjQ0NAgwoOkx/ft25eNGzdyxx13uLUd\n/P390Wg0vPzyy8ydO5fS0lIqKyuFIVZTUxMymUxMNCQkJNClSxfef/99ysvLiYmJEQ6h4O5Y6doO\ncBVCeuDBLwGeZtePgKysLDHjLuHyHay0w5o0aRKJiYlivrq2thalUklmZiZPPPEEI0eOpKWlhQ0b\nNrBjxw5efvnldnuSWVlZ3HLLLR1ejHbt2sWQIUPcRr2MRiMVFRXfObFPJpMRGhqKt7c3eXl57e7c\n6uvraW1tFffV1dXx7LPPcvPNN/P000+Lx61YsUKIBs1mMw0NDTQ1NdG7d29mz57N5MmTGT58uDB9\nkRb/5ORkj1DrOyAzM5OMjIwOQ5l69uxJt27dxOSIVO62Wq1YLBbWrl1LREQEkyZNwmaz4eXlxe9+\n9zs++ugjkSHg5eXFgAEDePjhhzGZTJw5cwZwtpEuXbqEXC7/3oujQqFwyyJwhVqtbtfPf/To0axf\nv75DP42hQ4cybNgwUWEqLy+nqqoKjUbDvffeK4KsLBYL2dnZ9O/fn48//pgHHngAuPJESnvfdQ+u\nfXh7e2Oz2dBqtWi1WsaNG/dzH9I1BQ8R+BFw9uxZt35qVlYW//d//8f//d//cfbsWdRqNVqtFoPB\nQFZWFgUFBezcuZPc3FwMBgP19fUcOHCAxYsXi38PGTKExx9/3E2Y5YrDhw+LHfrlsNlsVFVVER8f\n73Z7YGAgDofDjRxcDfX19dhsNhITE9tc5FtaWti4cSNDhw4VZOXw4cN0796de+65x43AbN68mVWr\nVol/x8fHExwczLp160Sg0GOPPSZmxcPDw0U4kwffDampqW1Ik1TmHjhwIDqdjlOnTrmVvaW4XplM\nxqpVq+jcuTNPPfUULS0t9OnTh06dOvHFF1+4Paefnx/JycmcO+dMIFcoFERGRroRwu8KPz8/t7As\nV9TU1LSbI5+cnExSUhJvv/12h8/7m9/8Rrhz6nQ6fHx83EhFdXU1y5YtY/369Zw7d4433niDDz74\nQGSHQMeE4OzZs+1OVnhw7SIgIACz2UxhYSHr1693i1j3wNMa+K/hWjaUFi+p3Gk0GqmtrUWlUtHa\n2sqAAQPo06cPeXl5GI1GqqqqCAgIICoqipqaGnJycqisrKSpqUmUOg8fPsySJUuEeYprT7S8vByr\n1UpYWBjV1dXidmmBv3DhAmq1WpRkY2NjxWOKi4uprq5Gq9W6ObW1d8GVducDBw50uz8oKAiHw8HO\nnTtJSEjggQceEPPiOTk5ZGRkuGkGLl265JZ6qNVqSUhIoKGhAbPZjF6vF+Y1hw4dIi4ujrCwMORy\nOXl5eYDH1vW7wOFwsHLlSvR6PaNGjSI1NVXkBYSGhhIYGEhsbKzIFwBn+V2pVIpd+SeffMLw4cN5\n9913mTRpErNnz2bmzJn069dPlO9ra2tJSEhg9+7d/Pa3v0Uul+NwOPjkk0+or69HrVYjk8nw8/ND\nLpe7iUgvb2MpFAqqqqqEj0VaWhoAjY2NHDhwAEBECEtobGxk6tSpPPHEE2zZsoWBAwcC7hMv3bp1\nE+ecv78/ffv2JScnR0SHBwQE0NjYSGBgIK2trZw4cYK+ffsKMaTkhSARAUlUK6USenD9QWp/tnet\n+7XDQwR+IEpLS0WOuXQRycvLEzv5ixcvCvHSqlWr2LJlC7W1tcL2tKioiIMHD9LS0iJS/EaPHi2C\nf1yd0yQUFxdfUexXVlbW4ckeHh7OhQsXaG5uRiaTXdE/4NSpU/Tt27fdCkJxcTEmk4mnnnpKHEd5\neTnHjx9nxowZbo99//33GTVqFB995IyniImJYe/evSQlJTF16lS++eYbiouL0Wq11NbWCjFaVFSU\nG4Hw4PtDarGEh4czfvx4CgoKyMnJccYQRzsXSZPJ5JZsuXPnTg4cOMA999xDly5dSE9PZ/Pmzdx5\n553ieYODg9FoNOTl5dG3b19h9VtbW0t9fT3V1dU0NTUREBCAw+HA29u73dwLq9VKS0sLdrvdjZhK\nkzUdneMBAQE89NBDLFu2TBABV3h5eZGenk5WVhYGg4GGhgYUCgUXL14kLCyMlJQUunbtSpcuXcjK\nyqK8vJzVq1fTo0cPkpOTmT9/PoGBgcyePRtwnrMSkpOTgbapj/8L/PWvfxU/Dx8+vN1QJA88AKdY\nXFp7rgYPEbgCrjS7fnkEriukHbM0wmWz2SgqKmLixIkolUoCAgIwGAxUVFSIuFRXAd2mTZtEubw9\n+Pr6ugkDL4ekxm4PkmdBaWkpdXV1+Pr6IpPJhFixqakJh8MhJhY6ak2cOnWK3r17iznupqYmXn75\nZSZOnOg2bnXu3DnWrVsnqiXSY8FJkt544w2Cg4NJS0tj6NChDB06VATDSOItD747Jk2a5PZv6fOT\nStnV1dVYrVb69+/P+W+HgKXfByAMePz9/amsrCQiIoKZM2cyefJk+vXr55bpPmHCBD7++GMcDgf9\n+vUTXhHBwcHYbDbsdjt1dXWYzWZsNhuBgYFisW9qahJjhj169GiTI9Da2trhaKsELy+vDs9PgMTE\nRJKSkvjXv/5FQ0ODECLW1NRQVlZGWloagwcPFomgVVVVYpxRcvy8HJIQuKNx4Z/a78KVCHjgwZVw\nOVF8/vnnO3yshwhcBQ6Ho00pUBILJScn8/nnnwtHNC8vL0pLSxkzZgxhYWEiDAbgpZdeoqCggPr6\nekpKSrBYLDQ0NGA0GpHL5ULVPHr0aHr06EFQUBAtLS2iJOrqA6BUKsVFzbVlIO3qgoKCaGpqElUB\n1121NOEQFxeHyWQSbnFS7Kp08dPpdG4XM2lxr6ioYPfu3dTW1jJgwACUSiUOh4MPPviAhIQEHnnk\nEWQymVj4Fy5cyB//+EdeeuklsYh06tSJfv36cfHiRcrLy0lPT2fkyJEYjUYiIiI8uoD/ElcS6kVE\nRCCTyUhPTychIYGQkBC+zLG7EUY/Pz9uuOEGioqKSEhIEC2AwMBAHn74YVatWsWiRYvEYqlUKrn/\n/vt5//33SUpKcvOycHUhlMvllJaWcvLkSZEZUVdXR2pqqggjkiD9LBkYSee/a+1p+PQAACAASURB\nVFVKIsHl5eVuhkQ2m008JigoiO7du/P5559jtVrx8vJyEyUqFArWrVvH7t27GTFiBFOmTCEuLo6e\nPXsSHR3N3//+d8C5sBsMBj744APUajUzZswQUzgpKSmiCugxGfLgesb1TgRk/ESpiNIOqk+fPuLn\nKxmktIfS0lLy8/MJDQ3l4Ycfxmg08tprr1FVVYVCoRAWxOC8qNpsNnbu3MlTTz11xefVaDSYTKYO\nqwLh4eFUV1djNpuvaMbjuuuRFNgdPb6srIy9e/dSVVVFRkYG48ePFxfg3bt3U1hYyMqVK90Wo61b\nt3LhwgX+/ve/o1Ao6NKlC+AUW/Xq1UuUXaWFXyIsHiLw40P6TENDQzEYDBQUFABqdDodarWaiIgI\nBg4cyJEjRzh58iTR0dGUlpaKMdcRI0awe/duli9fLoyvwNl3HTJkCBs2bGDgwIEdClGjoqJQKpXs\n378fh8PBgAED2rhUuqKsrOyKRj4Oh4ODBw8yePDgDh8THh5ORUUFQBvfAbVajclkEiX/uLg4unfv\njtFo/M4l/9zcXJFDMHjw4CtGF3vgwbWM65kIDMEZkXwCOAWU/K9eWAq+Adr0wyWlsWv5sKCgQESf\n+vv7o1KpCAgIoLKyUox7ScK+O+64g02bNjF9+vQOXz8oKIiYmBjee+89Bg0a1OaCGRgYyMCBA8nK\nyhL2xv8tLBYLOTk5GI1GMjIySExMdHu9iooKPvzwQ5577jm3qkVlZSUvvvgitbW1+Pv7o9Pp0Gg0\nuA6KSWVrqQQcFRXlmc3+CeGqYwFAX8748eNJSUnhyJEjbNu2jfPnzwPOqo2rp4RMJuPxxx9n9uzZ\nBAQECEtscJLlpqYmduzYwdChQzss1wcHB4uF8kokwGQycfz4cTH+1x527txJdXU1Y8eO7fAxZWVl\nREZGcuzYMfGeJOKtUqmIjo5m5syZVFVVCV2KyWTi888/JyMjQyzsUVFRbuRHOm8PHz7c4Wt7cG2j\nublZbDyCg4PdUld/jbheicBI4D2cAUiTcdoeZwGbfqwXcO1NS7si1xZBewuWVDlITU3F4XAQGRlJ\nZGQkTz/9tLAGLiwsRKlUEhYWRlFRETU1Ndjtdjp16kR9fT0rV64kJiaGRx991K006lp69Pf357nn\nnmP16tUsWLCAYcOGcf/997v1ejMzMwkLC+OLL74gOTmZ9PR0ZDKZWzyx6xx2SEgI4O7dHhQUxOrV\nq+nbty8PP/ywuE+qGrS2trJkyRImT55Menq6IAgXL15k2rRpPPjgg/z9739HLpfj7+/vDLzB2asK\nDQ1lzZo1hISEMHLkSEGo3nrrLfH6nnyBH47LP0O5XC7aUQBdunTh9ddfx2KxcOnSJZqamvDz8+Nf\n//oXo0aNEiQtKCiIoKAg5s2bx3PPPcerr75KSEiIGMnr2rUrvr6+7N69m9/97ndu5X5Xk6Abb7wR\ncFbAJLi2EbRaLRs3bmTEiBF069ZN3O46eWCxWFi5ciULFixAp9OJ212JKDiV/66aBq1WK953SEgI\nnTp1Ys2aNej1eo4dO8bAgQOZM2cOBQUFtLa2un2f2yv99+3bV1wbfu0EdseOHWLzUllZyZw5c37m\nI+oYGo0Gi8VC7969aWxsJDMzkzVr1vzch/Wz4npsbCmAm4GngNeBF4FewIPAhJ/qRb+vkYg0j1xa\nWoper8doNKJSqcTCXlJSQmhoKCqViubmZkwmE6GhoWg0GpRKJTk5OVd8/rCwMGbNmsXbb79NdnY2\nR44cafOYPn36MGvWLPLy8jq0ZL0S8vLySEhIYOjQoW4EQcKxY8eora1l4sSJ4raGhgYee+wxpkyZ\nwpIlS0hISOCWW27BYDCwf/9+wGn44nEL/PkQHh4unP+0Wi2+vr7U1dURHBxMQECAMHvavXt3m0jg\n1NRURowYwerVq9s8b2pqKgMGDGDVqlVupPT74OTJk8IdsSOsXr2asWPHullnX47GxkY+++wz3n77\nbUEQiouL6dq1KwEBAVgsFoxGI/v27ePUqVNCXxMeHs6kSZO+s0jVYzDkxPnz5+nRowfr1q1j7969\n1zQRiImJoaSkBIPBwMcff+ymLfm14nokAi04A5HuxJl5oAfygQIgFed7+lnouWTokpub+20PFt54\n4w1sNhspKSncdNNNDB8+HB8fH4xGI2azWai0FQoFSqUSu93OmDFjWLJkiVtptiMEBQXR3NxMnz59\nOrxfLpdfVYHdHvR6fbthRhK2bNnC5MmT3Z775ZdfJj4+nueff16MhAUEBLQhEqmpqSQmJnL27Fmy\nsrKEN74rPPkCPxxRUVHk5+eTlZUlyKnr5zps2DDmzZvH7bff3sbl7y9/+QszZ85so5C/4447yM7O\nbne0NT09nfj4eA4ePOg2KfJd0NzczM6dO6/omAlOstDeyKAEu93O3LlzhaGWdKGXJhUCAwPp0aMH\nNpuNiooKLBYLPXv2ZMaMGeTn57tVAsLDwzucEPDAHWq1msTERBITE3/1pfbrDddba0ASB34C6IDN\nOElAJ+APwMpv78v7sV/YVRcA7m2CxYsXAzBr1ixxX/fu3enTpw8LFiygoaGBhIQEwsPDmThxIhUV\nFSIdzWAwiB2Z1LN68803eeihhxg7dixjxoxhzpw5bmVPV0Hfnj17UKvVKJVKN+c019Jsc3MzPj4+\nbcxdXL0GpIVa+gI3NjZSVlZGdHQ0drvdbY7a19eXgoICqqqquO2228ToV15eHrt376asrAz4j1f8\n6dOn6dWrl3PaAThx4gQ33HCDcKLz8vL6r4iKB98N0rl6+d/gLGlv374dq9WKn58fXbp0wcfHh9ra\nWubPn8/MmTOZNWsW77zzjmj9REREkJKSwoEDB9x2zpJhy7hx4/joo48oKChg9OjRbgmDEjmQRHwA\nnTt3BmD//v306tVLtA9ctShS+8BisVBVVUXPnj3x8vJyI5g+Pj7Y7XbmzJlDXV0de/bsEfdJhPT8\n+fPcfPPNgHOUcuDAgZjNZpKTk4mOjmbnzp18/vnnDBo0iPvvv7/NZwgIwjpjxow21wUPPLgecT1W\nBADOAPOBxcBXwLhvb9sHeF/h/30vXCle2LUkuHPnTj777DPRCpBKr7m5ucTFxeHv74/ZbCY8PByj\n0YjJZKK4uJiGhga0Wi2hoaFYLBasVis+Pj7IZDLefPNNqqurqa+v58UXX+zwGM+fP9/GSvhyxMTE\n8Nlnn3Hu3Dm3XVpHsbKtra1kZWXRo0cPN0e3srIysrKyePXVV5k/fz4PPPCAIAGXLl3iD3/4A3/+\n85/RaDRER0cTHh4u8uttNpuIupX6uqmpqSQkJFzx2D344cjMzCQzM9PNglg6d6OiooQwUKPR0KNH\nD1EViI2N5a9//StDhgxhxowZbr3+CRMmsGzZMlasWNHG818ulzN69GjUajXvvffed6psWa1Wzpw5\nc0XxHzhdM7t169Yhcdy7dy9FRUVuJEClUuHr60tFRQVqtZrw8HC+/PJLMSY5e/ZsYmJiGD16NP/4\nxz+or693M7WKiooiNzeXlStXtmstfHl74ErXDQ88uBZxPVQEvAFpTs6B85hbgEpglcvjHgZuBf7f\nj30ArqVCCVK2QGZmJsOHD+fixYsUFBSICQGpBz5ixAjxfwwGg4gd9vX1pb6+noiICHr37k15eTmt\nra3I5XLRJmhubmbz5s1iZ91euc1gMLSJAL4cY8eOpaCggMOHD2M0GtFqtVitVhEYJJPJUCgU+Pj4\niPEvHx8fJkz4j+Ti7NmzvPzyy/Tr14+UlBTuu+8+8bqVlZXMnDmTxx57jCeeeIK4uDguXbpESUkJ\nAQEB6HQ6IYqUpF2eC+W1gfnz5zNq1CiysrIoLCzk+PHjYiGsrq5Gp9PxzjvvMGHCBGbPns2bb74J\nIIx6Fi1axLx58/jjH//otjgrFApGjhxJt27d2LBhA7m5uSL1MjAwUIS/gDOEStKjXMkgCJxC1CuR\nx7Vr1zJ58mReffVV6uvrUSgUIr0wICCAHj16UFdXR1hYGN7e3mzduhW9Xk///v0BZxUiLS3tiq8h\nCVuvljfQ3nXDAw+uRVzrRGAUThHgYZzjgR/jJAFeOElBK852QV9gOnAXcOHHevHL59vhP1/uQYMG\nAc7S6t133w04Fzej0cipU6eorKwUZUOtVovRaGTWrFlUVFTQtWtXunbtil6vx9fXl8jISFEG9fX1\nJSAgQET3enl5kZCQwJ49e7jlllsAdxW2wWCgW7duwhVQgquaWiaTkZGRQUZGhhBJBQUFCTMWu91O\nbW0tDQ0NVFVV0dDQQFRUlBBsWSwWXnjhBebOncuwYcOEfwA42wtTpkzhvvvu48UXX8TX15eysjKx\nKEikw263c/vtt1P07fFI999+++0/9NfkwVXQXr/91ltv5bWDX9Da2kpoaCiPPvoo27dvJzs7G4VC\nwYEDB2hsbBTn5aeffsq9997L9OnTeeutt4Tq/7XXXmPTpk289tprzJkzR+QYSO2A6OhonnrqKcrK\nymhubhbmQocPH+b06dOAkzTExsYydOhQtwkC1+OOjo6mtraWM2fOkJmZKVpfrhWtmpoa9u7dy/Hj\nx0UlS4rtjo2NJTg4mLCwMIxGI5GRkaSlpbF9+3bWrVuH0Wjk7bffRi6Xi1Feh8MhdvqZmZkYjUaM\nRqM4LulvKVVTQnvXDQ88uJZxLROBdOANYB7ORf8ZoAfwJ8COkwzw7X2HcY4Umn+KA2mP0V9+m8Fg\n4PTp0247HVdToqVLl1JaWkptbS01NTVuIqWioiLq6+vx8vLCZrPR0tJCZWWlKLkqlcoOswN69erF\np59+KsJargZpDAwQF0uFQoG/v7/IN7gcq1evFtGul6Ouro7y8nLhxObr64vNZhOz5n379hU7y3Hj\nxvGPQ62kpqZ6NAHXCObOnUtpaSnJyckiGttkMtG5c2cqKyvFgu7n50deXh69e/fm//2//8e8efPE\nc4wZMwaZTMbixYuZN29emzE+b29vMcYnl8uJj4+nV69emM1mZDKZG2ltDw6Hg82bN7N8+XL69+/f\noYmQFH5UVlYmyKo0DWAymTAajZSXlwNOghoTE0NsbCwGg4GSkhK2bNmCVqulurqa2tpaqqurxVht\ne7jaTt9TCfDgesG1TAS8gR3A8m//vQOnBsABzMVJBm7G2Q54GmgbXP4TQPpyu4qHIiIiRFnfy8uL\nzMxMtmzZwt69e9FqteTn51NTU8ODDz5IYWEhlZWV+Pr60q1bN+677z6WL1+O3W4nODgYhULRZieh\nVCpF6RLcZ6rHjRuHxWJhzpw53HTTTUycOJGQkBC343N1IHQdB3NV5EuPcb3w+fj4cOLECU6ePMkr\nr7wixGBKpZINGzaQkZFBcHCw2/NLRjEGgwGLxYJSqWTBggUUFhZ+a8CSytGjR8X8tQc/L6REzOTk\nZHr06AFAfn4+/v7+2O12YfULznN+x44d+Pr6cujQIYYNGyY0IlOmTOHo0aN8/PHH/PnPf3ZzGHTd\n2UtjrFL6Jrh7ZLh6B0h5HZKt8QcffEDnzp079PPw9fXlxhtvZPv27djtdnx8fEQbQqFQUF9fj4+P\nD926dUOn01FdXc2dd97J66+/zgcffMClS5cICQlBo9Egk8koLCxEo9GQlJSETCYTO39JZ+Mhsx78\nUnAtE4EGIBzQ4tzplwEZwJfAMWA1cAQo/Pbx39lq+IcmeOXm5uJwONwYf1RUlFvgi6QhCAkJ4cCB\nA6jVaqqrq4mIiKB///5otVoxmmez2US/3WKx0Nraip+fHz4+PvTp04fx48dfcZxqypQpjB49mpUr\nV/Lggw/i5eWFv78/SqWSkJAQOnfuzKBBg644CuiKU6dOkZuby4ULFzh27Bh//OMfBQkoLS1lxowZ\nhIaG8vzzzxMfHy/Gs0JCQmhpaUGr1Yo2g8lkorCwEK1W63wP/xO69uPh+yR4SbjeEuJcbYczMjK4\ncOECer2e1tZWMW0SHR1NbGwszc3NFBUV8eSTT/LCCy/Qr18/Ua2aMWMGr7zyCtOmTWPSpEmkpaV9\nb6Od6upq/vKXv2AymZDJZFitVm677TZeeeUVN+FqR7jllltwOBzk5OTQ0tIiiIpSqSQ9PZ3bbruN\noUOHsnPnTvbu3cuWLVvIzs5myJAhIlshMzNTjACbTCYMBoOoaOTm5mK323+03f5/c3554MGPjWuZ\nCBwCLgFbAWk7XAYswUkQwLmsfO+l5YckeEk6AJ1OJ/qHBw8eBOD3v/894CQFGRkZGI1GQkNDBQn4\n5ptv8Pf3Z9asWW12/Xq9HrlcTkhICP7+/jQ3N1NbW0u3bt146623qKqqYsyYMR36r2s0GuHmZ7Va\nsVqt1NXVYTKZOHXqFPPnz2fixInC7789NDQ0sHTpUg4ePMhNN93EsGHDmD59OmFhYYBzl//ggw8y\nbdo05s+fT3NzMwcPHmTGjBmsWrWKTp06oVKp0Gg09O7dW6jPq6urGT9+PHK5nI3v/eiTnT8pvk+C\nl4TrKSHO1fciJCSExMREevXqxcKFC4XuxGQyibl7yZnymWeeYdWqVTz55JN07dqVRYsW4ePjw9y5\nc9m3bx9vv/02H374IZGRkeh0Onr16iV0NVfCqlWriIuLY968ebS2tqJQKNBoNB2SgNbWViwWi/he\nfPXVVyQnJ5Ofn4/NZqOhoQGz2YyPjw933XUXWq2WqKgohgwZgtls5vTp09TX16PVahkxYgRms5ms\nrCxCQ0M5evSoaCX0799ffPc//vhjIiIieOWVV37w5//fnF8eePBj41olAj5AE04B4CYgG6drYDlO\n/4AeOEcf286+/Q+QnJxMVFSUIALt2Y/269dPKOOlnIGQkBB27NjBhx9+yAMPPMDu3bsxm83CzU2p\nVDJu3DhsNhsbNmxAoVDwzjvvAHD06FFef/11pk6dyqOPPip6oK5lUm9vb7y9vfH393dzXRs+fDh3\n3HEHTz75JEOGDGHKlCnIZDKhQXA4HFy8eJHXX3+dG2+8kXXr1hEUFCR2epWVlXzyySe88847PPDA\nA7z22msiQx5g6dKldO7cmaSkJCZNmiQilEeMGIHJZCI5ORkvL69vS8F5v3o71msJZWVlVFZW0qNH\nD1JTUyktLeXUqVPMmjWLoUOHMn/+fIqLi92qBAqFgj//+c+A89y56667mDZtGu+//z46nY4JEyYw\nZswY9Ho9ZWVl6PV6Pv30UwoLC/nd736Hj48PUVFRHD9+nJCQECE8NJlMfP3116xatYqQkBAxwudw\nONzc3yRiajabefrpp/nmm28ICAigU6dO1NTU8PXXX9O1a1fxGhI+//xzsrOzOXjwICEhIXh5ebFj\nxw7hexEVFcXKlSuprq7m9ttv58CBA9TX14vXg/989z3w4JeEa5EIeOEkAeAUBr6KkwQs/fb23sA9\n/EwkwPUiIE0FSH9fPhInPTYyMpLS0lJhI3w5pL58fX09b731lqgi3HDDDRQXF2M2m9mwYQORkZHk\n5+fz2GOP8fbbb3+v477hhhv45z//yRNPPEF+fj4ZGRl0796d6upqPv30U2pqapg5c2abOe4333yT\nt956i1GjRnHx4kVefPFFFAoFvr6+QogVERFBRkYGXbt2pbCwEIPBIH4+ceIE4eHhYpEBj4jqWoLB\nYCA0NFT8TqRzNi8vD61Wy7hx4zh06BCfffYZ8J/ky5aWFnQ6HT169OD999/n3nvvZdq0aSxfvhx/\nf3/kcjkJCQkkJCSQkpLCrbfeyssvv8wf//hHtFoter2ezp07U1ZWRnx8POPGjWPdunWMHz/+igI9\nCS0tLdx9991MmDCBQ4cOYTabMZvNeHt707lzZ9RqNWfOnBFtNp1Ox6VLl/D19aW0tJSQkBAh6nX9\nTrsKYqUxQckXQHrc3/72tx/hk/fgWoBCoWD37t1CszR9+nQefvjhn/mo/ve41oiAF04RIMArODUB\nC3AKBXsCAYAJKPpZju6/QGlpqduufciQIYBTkCV59BcXFztd9+rrkcvlNDY2kpCQwPDhw4WLmeT2\n9vXXX4tFWOp/fldoNBr+9re/kZOTQ15eHhs2bMDHx4dx48YxZswYN/FTS0sLr7zyCmvXrsXhcPDp\np5+63SeVkS0WC97e3m5z1127dm0zxeDxDbg2IWUOgPN3JLWsOnXqJAhCaGgoSqWSixcvsn//fjen\nQJPJhN1u529/+xtjxozhueee44UXXmhzbgYEBPD888/z1VdfYbPZSE9PR6PR0NjYyKpVq3jttdfo\n1auXaK9dDV5eXlitVhYvXkz//v1FNkdzczP19fWcP3+empoaAgICSEpKoqmpCbVazfjx49Fqtdx8\n883t7uxdb/Ocs7983HLLLezatYvW1lZWr17N0aNHf+5D+llwLREBVxLw/4AkYPi3/5YBJ3+GY/pe\ncL2ISO58JpOJnj17As4S/SeffMLJkyfp2bMnX3/9NZ06daK2tpYhQ4aQlJREeXm5mGOWy+UMGTKE\nvXv3Ul9fL0yIQkJCKCkpoXPnzm4TBK6jf66e8a4K7ri4OOLi4rj33nvdZrCl9oZGo6GsrIwZM2YQ\nEBCAwWDAz89P7P61Wi0tLS20trZyww03UFNTI5533bp12Gw2kpOTOXz4MH/6058ICwvDZDLhcDi+\nnTG/sgmLB/9bSOesw+HA4XDwxRdf4HA4xJTKqlWr2LNnD+fPnycpKYnHHntMWExXV1fj6+tLr169\nuHjxIps2beKOO+5g9OjR/OEPf+Duu+9GoVC4EeHf/va3gNMRs7W1FW9vb5544gmeeOKJNsfmaqXt\nSlKlllTv3r3ZvXs3FRUV6HQ6VCoVdrudlpYW/Pz8iImJYcqUKWg0GhYuXIiXlxehoaFCIDhu3Dhu\nueUWvLy8xKhvv379OvyMrgVcS0LUqqoq/vWvf9Ha2srhw4c71C9dy1AoFCKnZd++fSIj5peA7yNE\nvZaIgEQCXgMSgTtwOgq6EoTrBqWlpZw9exatVkt4eDgGg4Fdu3Zx8uRJ6uvrqa6uxmKxUFxcTFJS\nElFRUajValQqFWlpaUKU1aVLF/bu3UtDQwMtLS0EBgaSkJDAiRMnhEf7j41HHnmE9PR01q5dCzhF\nhJLXgHQcAMePHycjI4Pw8HCKioqw2Wz4+/uLEbHS0lJOnz6NTCa7pi6mHrQPqRogjYCCsw+vUqlo\naGhAr9dTV1dHY2MjiYmJXLx4kfLycrZs2QIgnAPNZjOff/45y5cv58MPP/zJxuyUSiXPPPMMy5Yt\nIzY2VghtzWYzPXr0oGfPnsTGxnLu3Dmqq6vbCA5NJhOlpaUiR+PLL7/kzJkzTJo06ZqNwL6WhKhH\njhxh6dKl3HfffXTv3l0YnnlwbeD7CFGvJSIAzvCgbjizA65bEiAhIyND/JyamkpBQYGbGYrkbFZd\nXU1aWhrvvvsuZ86coWvXrsTFxdGlSxdeeeUVUYpVKBSo1WpOnDiBzWZj1KhRP8lxq1Qq3nrrLbfb\npCqATCYTM+AqlYrw8HBSUlIwm83Mnj2bpKQkDAYDlZWVGAwGunfv3q6Y0oNrE6NGjaJPnz6UlpZS\nXl7OwIEDGT9+vCiZHj58WOgKNBqNUNWDkzDu2LGD5uZmDhw4wPTp07nvvvtYunSpW+Xqx8Dy5csp\nKChg8+bN6HQ6jEYjNpuN6Oho8RitVotOp+NPf/oTXl5eTJs2DbPZzLlz54iPj2fo0KHiseHh4W4E\nSCJF1xoRuNaQkJDAggULfu7D8OAH4lojAsXAmG9/ljIFrnlIvdXw8HBx4YiOjiY6Otqtzzhs2DCx\nm/7ggw/Iy8tDr9djs9nIy8vj5MmTKJVKGhoa2LdvH0VFRcJyNSgoiPT0dHJyckRJ9sSJE2Ii4XK4\nLr6u/u2u7QBX+1VJld3S0kJ6ejqxsbF89NFHAMKv3Wq1IpfLCQoKoqWlhUGDBjF58mTAeSGVnnv/\n/v3U1tYydepUoqKiPFMC1wFkMpmbyZNcLufLL79ErVYzbtw4cV/fvn25ePEiW7ZsIT8/n+DgYDdF\nv2R/rVAoWLp0KdOnT2f69OksX74crVYrqkWxsbFuryVBajUBbsmCkluh3W7ngw8+4KOPPhIkxGq1\n0tzcTFNTk0j1lGy1o6Ki8PHxET4dBw8exGKxcO7cOdavX8/AgQPp3LkzcrmcCRMmiIAhyWRJ+v5K\ngl9A2Ch74MEvBdfyVu26IAHtQcp9h/+kl7li9+7d7N+/H3DaD1dXV3Py5En69+/P0qVLGThwIGq1\nmrKyMvz8/AgODiY8PFyQAHBmxT/00EMsW7bMLWPgu6Curo5FixYxbNgwxo0bx0MPPSTmqXfu3Mnp\n06fR6/WAk0QEBQWRkJCAr68vra2twjRo3759vPPOO6SmppKfn8+CBQtYt24dWq2WuLg4z27qOkZU\nVBRdunShuLiYxYsXs2vXLsC5UzYajdTW1oo4bQmxsbFiV93S0oJSqeTf//43w4cPZ8KECT9IiNXc\n3ExWVhZ33XUXe/bscatEtLa20traipeXF2VlZdTX19O9e3eOHj3KwoULCQ8Pp2fPnmi1WiIiIpg2\nbRqPPfYYOTk5rFmzRkwEuJ6voaGhbc7f/Px88vPz/+v34MG1jzNnzrBixQpWrFjhdo790nGtVQSu\nS7S32LeH/Px8CgoKOHnSqXuUks4uXbqE0WgUY4hpaWmkpaVRWFjI0aNH2b59u/AIAOcO6plnnqG2\ntpZdu3axdOlSMjIyiIiIIDo6mpEjR7r5vdfW1ooKg16vZ+/evQwePJiamhq8vb3p378/DzzwAFar\nlV69ejFw4EA2bNiASqUiMDAQi8XC6dOn6d69O126dCE3N1cEGFVUVJCbm0tOTg4VFRUMHjyYiRMn\ncuzYMXJzc9sdFfSksl07uNLvQrKrXrx4MVarVThnSqRA8pJISUlh6NChGI1GCgoKOHbsmCCMDoeD\npUuXAk7DrYkTJzJ06FC++uorNm/eTGJiIgsXLnQTBjocDmprazGbzZSWBmUrSQAAIABJREFUlrJj\nxw62b99ObGwsBQUFxMXFodFohIDWbrejVCqFHiA+Pp4HH3yQNWvWUFxc7DaOOHv2bHbv3i1iiiV9\ngCsudwyVjqm90V8PfjkYMGAA+/btY9OmTeTm5nLp0iWeeuqpn/uw/ifwEIGfAK4XktzcXE6dOkVi\nYiI6nY7a2lqCgoIYNGgQsbGxhIaGkpSURE1NjZguWLlyJeBMNbvrrruoqqri9OnT+Pn5ERkZidVq\nxWazoVQqOXHiBGazmY0bN/LMM89w9OhRXnvtNQYPHsxNN93E9u3b2bNnD/379ycxMZF169ah0WjI\ny8vD398fm83Giy++KI73wIEDHDhwgNDQUGGkolKpKC8vFzPfMpmMuro6HnroITERkJaWRnp6uiAz\nDoeD1atXk52dzaxZs/5XH70HPwKkqOGZM2cyatQoiorcp3UlfwC9Xs/JkycJDg5m+/btmM1mevXq\nJVwlS0tL8fX1JSgoiJKSEiorKzl+/DgbNmzgjjvu4OLFi4wdO5bRo0fz8ssv09LSQlZWFllZWWLh\nDQ8P5+abb+bTTz8VscIVFRUiMjs0NJTm5mYaGxupqqoiIiICnU6H2WwmODiYmpoakpOTiYmJwWQy\nERkZKeyuZTIZISEhGAwGDAYDqampLF/ujDaZNGmSW8vi8taJB788pKWlsWLFCgCefvppt2mXXzo8\nROAH4vvsbl0fs2/fPvR6vRAsSb1TCVJOQEhICDabjZKSEuEdoNVq0Wg0tLS0YLVaCQgIwNvbmyVL\nlmCxWPD19WXAgAFs27aNrVu34uXlxfbt29m+fTs+Pj40NjZSW1sriAA4TYFsNhvNzc34+flht9vR\n6XT069cPg8HAvn37aGho4NSpU/Tv31/Me2/fvp2goCAhyHJ9r/v27bvq5+DBz4vv8ruQjHUk9OzZ\nk5MnTwoy2tTURFVVFQqFgpCQECoqKoiIiCAtLY1Tp04REBBASUkJAIcOHaK+vl6QjX/+858ATJ06\nlU6dOvHII4+IaZXa2lrKy8s5cuQIMTExeHl5UV9fzw033IBKpWLPnj1YrVamT5/Orl278PPzo3fv\n3tTX13P27FksFovQBlRXVxMXFydeb+7cuXz++eftvl+9Xk9ubm67o4QeePBLhIcI/MRITU0Vc6rS\nv8FJBEpLSzlx4gTjx48X7QJwli9Pnz6NyWTizJkzotR6ww030NDQQEBAACNHjmTXrl3i4msymfDx\n8cHPzw+r1cpf/vIX8XxSEpuUwtbY2IjNZsNqtaJQKFAoFMKDoKamBqvVilarxc/PT8wG33HHHXz5\n5Zc0NTUxadIk4VF/6NAht7KuKy5fQDrCY489BvxnUfDgx8f3+Yw7+r3l5uayb98+MbZqs9lQqVT4\n+/vTqVMnBgwYgEqlwmq1Ul5ezs6dO6mrq8PX11fsrqWkSp1OR11dHa2trUJnUFxczEsvvSReLzQ0\nlKamJurr64U41WQyUVNTQ2NjozAtkqYYBg0aRHBwMLt27SInJ4dbb71V5Hrs37+fkJAQN53CnXfe\nSVRUlNvOf9KkSYLce+DBrwUeIvAD8V12VJer5nNzcxk0aBBdu3YFnH3Ky9PNHA4HK1asQK/X4+vr\nS9euXRk7dixqtZqDBw/yzTffcOHCBXx8fBg4cCANDQ2cPn2a0NBQzpw50+YYfH19iYmJoaamBrvd\nLgyHlEqlCHVpbGwU5kPJyckMGDCADz/8ELVazf3334/dbqempoZ3330XuVxOaGgoI0aMwGKxsG3b\nNsLCwigoKCAxMfF7lVGlaQO73e6Jdv0JYLfb3aZFrob2pjxaW1s5efIkBw4c4NixY1itVvr3709q\naiqfffYZly5dIisri5KSEkJCQhg3bhzFxcV4e3sTFhaGt7c3VquVpqYmfHx8BGFwhU6nQ6PRiFaE\nWq3G29ub+vp6amtrsdvtqNVqCgoKsFgsxMTEoFarKSoqIj4+ntjYWFauXElRURFjx45lyJAhyGQy\nKisrycjIoF+/fsJJMTo6WkwHuH6H5XK5pxLgwa8OHiLwMyI5OVn8LI0gFhQU0NLSQlFRkYgt7tev\nH1988QUbN26kqamJsrIylEqlUEpXVTkDGEtKSigtLRW9fbVajdVqxWg0Ul9fz5kzZ8SFUC6X4+/v\nT1hYGN27dxfPI1mwFhUVoVarUavVYowrLCxM7MJMJhOZmZmkpqaK8KX/FpKNsgc/HX6Mz1gaVTWZ\nTOTk5GCxWDCbzQwfPvz/t3fv8VGVd+LHPzNJgCRckkkmV0K4h0sUkKwKagFhw62V0tUq2G6VCqtY\n0MLv11IES6siyLa4ynrZFXArK4KuslttAfEFKBAXEhK5hBAxlghJSDK5gUm4ZGb/eOYcTkISkpjM\nORO+79crr8wll+/MnOc53/Nc6d+/P7t27eLSpUtcuXKF+fPnM378eMrKyhg+fDirVq3i448/JjAw\nkPHjxxMVFcXRo0cpLi7WT/xa15Q2KK+2tpaKigp92e3t27frrU9XrlwhODhYb5EAeO211/SpglpL\n1ptvvklubi5Tpkxh9OjR0i31HZWXlzN9+nQuXbpEVVVVs7uZCv8hiUA70k6I2oC5hhpuuuPxePQN\nTWw2Gzk5OeTl5ZGRkcGXX37JyJEjueWWW3A4HGRnZ1NRUUFpaam+tkCvXr3o168f4eHhHD58GLvd\nrncVdOvWjTNnztC7d28GDx5Mbm4ugwcPZujQoXo/rdvtJiwsTN8RbunSpWzbto0NGzbw9ddfk52d\nzRNPPEFSUhLR0dFUVlZSVVVFQEAAeXl5+uvRXq/NZpOKthOLjo7Wv2bMmMHx48eJiooiLS2Nnj17\nsmLFCn0Vv9/+9rcMHDiQyZMns379esrKyvRFqSIjI/n+97/P2LFjOXDgAG+++SZ2u53IyEi6dOmi\ntwp069ZNn7NfW1vL+fPnuXz5MqmpqRw6dIiamhqSkpIYOnQolZWVuFwu+vTpQ0lJCWlpaaSkpFBV\nVcVXX31FVlaWvsqaNhNA2wjLuKFQU65Xtm8ULpeL/Px8tm3bBsiaCp2FldcR8Dvaeu0NR5t6PB4O\nHz5cb0tUQB+5XFxcjMfjweFwkJKSgtPpJCIigm+++YZNmzZx+vRpXn/9daZNm4bT6SQhIYHq6moK\nCwtxOBzMnDlTvzoKDAykpqZG32a4rq6OMWPG8LOf/YwXX3yRYcOGUV1dTVBQEMnJyfTu3ZvPP/+c\noKAgRo0axdChQ3n77bc5ePAgZ86cIT8/n969e9O3b19uv/12Ro8erc/b/uKLL9i2bRtZWVn6a9G+\nWiMgIED/Eu2vPd7furo6jhw5wpEjRzh69Cgul4upU6cSExOjr21x4cIFgoKCcDqdBAUF0bVrV/Lz\n8/n4448pLS3l1ltvJSQkhMzMTBISEhgxYgT33nsvgwcPJj4+nvDwcPr378/IkSMJCgoiJCREnxGg\ncbvdxMTEMGLECEJCQqipqSEqKoqioiJqa2uJj4/nRz/6EcnJyZSXl3PfffcxYMAAvUxu3Lix0dYR\n49ofjWmqbN+IunXrpk9xjo2NNTucDlNVVUVhYSFFRUWd/nOXFoF2dL2rhcYWKTHOU05OTubcuXPc\nc889gJpGeOLECf3nwsLCGDZsmD7Nyu12ExISwtdff824ceM4cuQIJ0+eJDQ0VB+Mdffdd+vNpNpV\nPajd5ebPn8++ffv0GQuzZ8/G6XSSlpamL2qk7etufH1jx45l0aJFfP7550yfPp2SkpJrXqtV12oX\nbVNQUMALL7xAcHAwTz75ZL3ntBUkd+zYAUBSUpK+St/OnTuJjo6mS5curF69mu3bt1NQUKAfM06n\nkzFjxpCbm0tRURGVlZXMmTOH7t27s3//fsrLy6mtrQVUv35wcDDffvsts2fPxuFwYLfbKSsr49tv\nvyU4OFjfUGvo0KGUlJQQHR2tj8XRypCRdnxqSwo35UZvCbjRJCYm8uyzz7J+/XrKy8vZunWrXi93\nRpIIdDBtG+Lmmszj4uLqZZyfffYZDoeDDRs2sHXrVv3vHD9+nAMHDuDxeLjzzju56667CAgIYMuW\nLYSFhTFlyhQuXbrE0KFDefTRR3nmmWc4evQoEyZMAFR/aVVVlT7u4K677qKsrExfk720tJTo6Gh9\nS+HJkyfXi1MbXKWtGx8REcHMmTPb9f0S1uVwOAgNDSU5OZljx46RmZlJVFSUfhLVTpZaEqg1p69d\nuxaA0tJS+vXrx09/+lNOnTrFJ598Qs+ePcnNzSU4OJhp06ZRWlpKSUkJEyZMYP/+/YSHhxMTE0Nh\nYSGJiYnU1tYSGhpKXl4eO3bsIDY2lj59+rBy5Urq6upYtmwZ+/bt45VXXqGgoAC3212vH9s4I8KY\nrEqXljB6/PHH9WPl/vvvr7eMdmckiUA7aqpJvCXN5drz8fHx2O12KioqCAgI4Cc/+Qmgtm3V9gwI\nDw/nsccew+l08uc//5mwsDCCg4OJiIjg4YcfZtCgQezevZsLFy4QHBxMaWmpvlPcbbfdRk1NDf36\n9WP//v2kp6dz66236tvOejwefdU147QqY6ISFBTEunXr5Gq/kzOeKBMTE3n//ff154qLiwHqdQdp\nXQ8JCQl4PB69K0ybEVNVVUV+fj5/+ctfyM/Pp6ioiO7du+N0OnE6nQwYMEDfKjgtLY3y8nKCgoKY\nP38+lZWVVFRUUFBQQGhoaL0y5XA4iIuL4/Dhw1RXV9O9e3cCAgL0VQO1rY8bvqbWuJH3y3C73cyd\nO5eKigp9HwfRuUgi0MFaW+EUFBTgcDgoKysjMzOTlJQUAI4fP86ECRP4xS9+QWBgIHv37sXlcukt\nAenp6Rw6dEjfCezgwYNMmTKFhx56CLfbzaJFi6ipqWHmzJn6rog5OTnExMToLQCacePGNRqbdtVU\nWFjYqtckOh/tWDh79my9zbaMtBYC7XhJTU2lrq6OU6dOkZCQQEJCAmPGjNGT0NTUVK5cuUJWVhZ/\n+tOf9D0tdu7cyS9/+UtAHbPh4eH6lrd2u52dO3fyyiuvMHDgQObOnQvQogGAksi2jLbRk9Y6adzh\nUXQOkgiYpLkVCZ1OJ3a7nYCAANLT0wH0TYBGjBhR7+pcW5lQ2zb2gw8+YNCgQUydOpWXXnqJl19+\nmYkTJ2Kz2bjpppv0XRE3b96My+Xixz/+sT6lUHPs2DFcLhfjxo3T+3ltNluj/aTGWIxXClLJ+r+m\nPsPGPnPtu3G3Pq1r4KabbgKudhXMnz+fd955h7KyMmJiYvREANQ2x+vWraOyspI+ffroSXF2djZJ\nSUn6VthaclFaWsru3bsB9C2+GxuzYnxNmZmZ+pLComW03RlF5ySJgMU03MAoPT2dN954A5vNxiOP\nPKIvi6pdxWsn8YkTJ5Kbm6vPsz558iSlpaWEhoYCMH78eAYNGqRX1Hl5edTV1TV6NedyuSgrK+vY\nFyr8jvEkr7lewudyufQtugHKysrYuXMnWVlZ+iBW498GCAkJYezYsSQlJREWFobD4dA34OrTpw/7\n9+/n7bffZvbs2URHRzNy5EiGDBkiJ3Yh2kgSAZO0tNIaNWoU8fHxnD9/nujoaH2q1qlTp6ioqODm\nm28mLi6OY8eOMWjQIJxOJyUlJURERLBw4UKGDx+ur0Hgcrn0vxsWFqZX0g0rc61rwDhbwGaz6Vd0\n2kJI2uYwMqL6xvPcc88BsGzZsnqPG2fBpKam6mtkxMXFce7cOerq6gC18+bZs2f59NNPefDBB+uN\n2p8xYwbDhw/XF6+Ki4tj06ZN7Nu3j4qKCn18QmRkJKNGjdLLkjaYNTk5udkExZ8ThhUrVui3x48f\nr6+NIDpOcHAw8+bN44knniAwMJDdu3frM1GsbM+ePezZs6dFP+vPicCdwGggH9gNVJgbTutp0620\nEy1cO5gpICCA5cuXk5+fj9vtpqqqivPnz9O/f/96u6hNnjyZ/Px8jh8/TmRkpL7QR1xcHE8++SRF\nRUUsX75c/7uDBg3C4/FcM7/cZrM1ukiIcQ61sdJuy7oBwj9pn3tL5o4bB78aRUZGsnXrVvLy8hg1\nahSRkZEcPnxYP4EXFxcTGxtLYmKiXhZsNhvf+9732LdvH1VVVcybNw+A0aNH1zv2tPUttOWUmxsY\n2FjZ8wfGRED4xuuvv86qVasAmDZtGi6Xyy8SgYaJ4u9+97smf9ZfE4GpwMvARuA3QALwEmADOuXK\nD3FxcaxcuZJjx44xduxYHA7HNesSrFy5ktOnT7Nw4cJ6FfCAAQP0tQVAVZDJyckMHz68VTFoV/5Z\nWVn17osbz1NPPdXq34mOjubs2bOcP3+eAQMG6H8jMzMTp9PJuXPnKC0trbf0tmblypWkp6fTo0cP\n7HY7Cxcu1J9ruGKnEO2pa9eu+i6WXbp0MTmajuGPiUBf4DngUWAX8DHwHrADOGleWK3X2Im0uSbN\nrKwsgoODWbp0ab0+VY1x3XWj559/vtFV044dO9bo/7zeFCupcG9MxqWxW6rhsXTy5ElmzJjBlClT\ngPqDZhseow2Pv5SUFOLj4/WuBqO9e/fidrv1Aa6N/b6RJLGird577z0yMjLo1q0bDz/8cL1p1v7K\nHxOBIuBXwF5U/AeBz4Frz4AW15omycDAQO677z6AenOkjdasWdPk72r9rR6PR2/a1Zp6WxKHPzWf\nio7V1mMhLi6u0VYorXupuR0rX3vttSb/f1xcnL4Vt91ub1HFLMezaIt58+aRkZFBdnY2GzduZOrU\nqZ1ihpQ/JgK1wH7gsuExD6p7IAtIQSULZ3wfWseaNWvWNY+1dIEU49WcNuiv4cqBms5wYAtraHgs\nacdha/vor3ecyxV++5s4cSInTpzA4/E02tJ4I5ozZw5z5swB0GdwdQb+2qahrfcY5P3uAb4FZgCv\nUj9JsLTrbXai2bx5M5s3b/ZBREJYS2Zmpt6N1dLy0tjfaMvv3chOnDjBhx9+SEZGBvn5+WaHIzqQ\nP7YIGF3xfj8CLEclNj8Hmt9BxA9pI6Hdbne9ps+2LJXaVEuAEL7SkmNQG4vg8XiIiooiPj5enzoo\nfCMmJkZaCJuxePFiQkNDcTqdPP/882aH02ZWTwRSgHLgqyae10YtdQPGADcDuT6Iq91814F3ssuf\n6OxycnIoLy8nOjq6zeVFBri2zK5du8jOzgbUttKiaRs2bODMmTNcuXKFBQsWSCLQQVKB7cAHwBLg\ny2Z+9kXgDdSaAkIIIdpg2bJlJCQkEBsby6OPPorT6TQ7JMvSZr5cvnyZBQsWmBzNd2PVRCAEuAV4\nGHWVvxx4hmuTgUnABOApoFOvifvggw82+ri0BIjOShtEOHv2bJMjubEsXryY22+/3eww/IrH49G7\nb/1xkTWrJgLVwBbgb6jm/9dQycBzqKZ/rUvgEHCqtX9clukULdWaZTo1cnyJlmrL8SWsxW6307Nn\nTwIDA/F4PKSkpHDo0CGzw2oVK6YtxtUBjbf/DTUWYD5qdkA1qtugtTytWRBFtK/Jz3zEjuXTzQ6j\nzbyZfnPlxm+OL3//LDqj6xxfHXJsffPNN5w8qdZiW7BgARs3bvTrFgEzj+tTp04xZcoUTp1q9fVp\nh2vu2LJii4AHCADqvLfDUQMG5wGrgANAL9Qyw0IIIb6DX/3qVxw9epSYmBgSExMbXaxMtFxpaSlL\nlizB4/EwcOBApk9XSUlERARdu3Y1ObrGWTER0JIAUOMCvgC2oaYKfgn0Ae4Ask2JTgghOhG3283y\n5cu5//77zQ7F7yUmJvL0009z6dIlcnNzeeGFF4iNjaW6uppZs2bx6quvmh1io6y2oJAxCVgDfI+r\nSUAYEA2MA46bEh1Yrj/PavGAxGQmq75Oq8YF1o6tNVrzOi5evEheXh55eXkdMk3QSu+pL2MJCgpi\n0aJFLFmyhA0bNuDxeCgoKGDt2rXk5+ezbt06Dhw4QGVlpc9iagkrJQLGJOCfgWTUrIArqDgrvI9/\nYUp0XmYd4A23WDU7nuZITOax6uvsqLiaKhetYdX3rLWu9zqKi4t56623eOutt5g1axYpKSlMmjSJ\nnJwcevfu7dNYfMkKsSQlJVFeXs7q1au54447SE5OZvHixSxevNgS4wms1DWgJQF/BIYA96CWCjYm\nCJdMiEsIISyhtrYWu93e6Ha4dXV11NbWAmoxILfbzaFDh/jhD3+oJ0tRUVGkpqYSGhrKRx99xJgx\nY3z9Em5IY8eO5cCBA6xYsYIHHniAjz76CID333+fzZs3ExYWRk5ODh6Ph+7du3PhwgVSU1Pp2bMn\nZWVlTJgwAZvNRlBQEBMnTgQgNja22enjximN12OlRABU//9g1KyAhknADW3JkiUArFq1yuRIhLCG\nX//613g8nhuqTISFhXHx4kV69OhB9+7d9cfr6uooLi5mzZo1XLx4EUBfDOixxx5j7dq1gJrq5m9z\n3DubIUOGMGTIEADmzp3LmTNX98eLj4/HbreTkZFBSUkJAGlpaVRXV1NTU8O7777Lli1bcLlcnD59\nGpvNpi/F3atXLyorK+nSpQsREREUFhYC6jMfPHhwszFZ+YgI5OpeAu1pD2qcgRBtsRcY38zze5Dj\nS7Rdc8dXFjDCd6GITuYLYKTZQQghhBBCCCGEEEIIIYR5QrF216gQwg+EeL9LZdI0K7431w639m93\nAj81O4gm/AB40uwgGvFDYB1qXRIrHqOdiZXe336o9WiswErvCwFmB+CnJgJ/AI4B57DGh3onMBOI\nA4qAWnPDYRzwABCB2heiytxwALUuxe+AvqiYzpkazXdjA3oA/41aeKsOSDc8Z7ZU4HngbeArk2Mx\nGo/atvxF4Ii5oXQIK9UDd3lj6YGa+m1mHTADWA/sRK1JY+ZstAnAP6E+o9OYX1dLItBGD6EqlOFA\nHnAW9V6atdvMVNSmTNnAI6gTwf9i3gnhbuA94DPgH4BBgAOVOJklFfhX4B3UZ1cDHDYxnvZwCVXJ\npgN/h0pwPjczIK+xwFZgFvApV1cFvez9MtOPgEzgLVRFfDvgBC4AF02Mqz1YqR6YBPwJtTfM36OO\nzwDU7rG+dhPwErAAtWNt21ef+u6mAv+CKhcLgTOYuFKuRhKB1tEKlMf7tQv1YR5AZXUdMd3xevqi\nCv8TwH+gpoi8CPwFKDUhHlAtJvu8cRxANcePR/XLmpEMdAEeB/4T2IiqCCZ7n4sE8k2I6bvSjsXb\ngETUifcHqH04JgCfYF4iGAr8BFXZuYD/AqYA01Hlxsx9Qm5F1XsHgB1Af9RJ6vvAbixwddZGfbFO\nPRAI/ByVbK0HjgJzgaGoOvKEj+MJRyV7r6M+718Dw1AXKL5sFeoHbEIlJG8D3wK3oMqEDbW5nvAj\nMagm2WGoA3w/KvN24Pvkqhsq+w7i6gJRWzF3vuhDqKtth/e+E/hH1BLRUSbFtBR1NZKKahp8Gfh3\n4A3UScBfDQR+4739/1AtHf9qXji6EajWsgLUzqF2YA6wGdVdZJabUMfBFuBh72P9USeJyU39kh+w\nWj3wFKr1raf3/svASuBZ1LHgyyQ1BZX4DUAlpc+ikoH3UMemLw3wfk9AdZVsQHVXvIA6nwg/EYAq\nbG96709CZXJpqErZDMEN7m9BXR2CKgTtu5B4y6zxfvXy3u+HuuLydWVrrHAWoyqBl7z3o7z3f+Hj\nmNpTHOpYnAucAn4L/BnVB2m2YVz73m4HRpkQi9EPgL8Bvzc89u9Yd9BlS1mhHtDKWxKwFnWR9Drw\nV9SqsRmYk5w8DxwEVnvvh6AuTp7y0f9vmPgkoBJjUK0576O6UYWf+SWqCe5vqCvg+airnYaF0ZeC\nvN/fQfXTz0D1iUWbEMttqBaAP3C1ZWA1vj/pNiyA96JW/9OuVJ4GXsFaG3C11u9R3RtapX83qqKx\nAuP7fy+qpSjGpFg0gcDPUC0WP/d+ZWBeIt/ezKwHbIbvkagBw/dxdbbOy6iuGF+wcbVcO4BXUd0k\n2vuwCNVU74ul9o3loLG65jngMR/EIdqJ9iFOQ/WBTvPej8LcJk+4erAtRV197wVuNikWO6rAr0GN\nC3gGKEFdFXS0oAb3A7j63kShrlT+G9VCcBK1yZU/SwBGG+5bLamxoa5+TqB2FbWK0ajm6j+iugw6\nC1/XAw3LW1Mn1rmobplEH8Zi7KrtgbowOYhqOctBjVvwVSxNlct/RI2jGNSBsYg2SuFqf05jAlFN\nOhpf9HldLybN71GDnjr6pNtUPA3fi/u9X7444U5D9f39hvpNvVqFYEO9L/8fNZWwIysCX7NhjamD\nDdlQAxj9PeGyCivVA82VN+3EZ0MlXYfp2ESwqVgaJiaTUNObO7IFqLn3RSujoahZBMdRM9CExaSi\nRpb/F41naQ0zO19cgV0vJiMHaidHM+Mx44R0G6qf/EFgNmpE8ErD881dLQjhD6xUD1yvvDUsXw46\nTmtj6UitiSUYiPVdaKKlQoAlqD7EP6DmwjZW4CaiBqBYKaZJqL4mq8QzEfDlHrF3ogZ9aWKBr6n/\nnkzi6oAhK149C9EUq9UDLSlvE1Ej4qFjy1tLY/FFnd3SesiYHAgL6sfVg/Y1VIFLov6B3IuO7etq\na0x9LRaPL9+jFOB/qH/lEYtaQOZ+7/1wH8ckRHuyUj1gpfImsYh2Y2vi9r+hClx3VHPPzBs4JqvF\n09CrqBHSRo+gFn4Swl9ZtdxZqbxJLKLdGPtvwg23V6H6ek7j+4UfrBaT1eKB+psJfYiav6xNU1uC\nmupptdH0QrSGlcqdlcqbxCLalbGgPYOa96yNOP05akU6X4/utFpMVounYUxLUSPU1wEfoBZVsdq0\nNSFay0rlzkrlTWIR7cr4Ia5Bzb3VCloY6oMdcYPHZLV4Gotpv+H+MFR/XT+fRiRE+7JSubNSeZNY\nRLsyfoj/jFoOU5tqpjXj+Hofe6vFZLV4oPmYZEaA6AysVO6sVN4kFtFh/ojarUv7EK0wz9xqMVkt\nHrBmTEK0Jysd4xKL9WMRbdQHNbjDSh+i1WKyWjxgzZiEaE9WOsZUT303AAACQ0lEQVQlFuvHItqJ\nLzahaC2rxWS1eMCaMQnRnqx0jEssjbNSLEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEII\nIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGE\nEEIIIYQQQgjRFzhqdhDCb11o4c9tAfp7b98HZAOfADcD6zsgLiGEEC3UF0kERNudb8HPDAQ+NNzf\nDtxhuL8HiGrHmDoVu9kBCNP1BXKAjcBJ4D+BVGA/kAv8nWmRic4kENiEukp7Fwg2Nxzhh8ajTujv\nAidQx5PmAeB/vLefRiUB64HV3sf+imolEEI0oi9wGRgO2IB0rjaj3QN8YE5YohPpC7iBMd7764HF\npkUj/I3WIjAeqADiUHXVAa5e9f8VuMXwO7sb3J+A6joQjZAWAQHwNXAc8Hi/7/I+fgxViQvxXX0D\npHlvbwLuNDEW4b8OAgWouioLSPQ+nggUNvhZm+F2IVKXNUkSAQFw0XDbDVwy3A70fTiiE/IYbtsa\n3BeipYx1VR316ydbg5+VY66FJBEQQvhCH+B27+3ZwGcmxiI6n9NAbDPPx3p/RjRCEgEB12bKnmae\nE6K1PKiBqI+jBgv2Al41NSLhT1pSH+0DUpr5G7cCn7ZbREIIIYSwlP7AR808vweZPtgkaREQQgjh\n7/JQswsGNPLczcApoNinEQkhhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCmOf/ADTS\nvuMX5vneAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x12b42750>"
]
}
],
"prompt_number": 47
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Paralell tempering"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"http://dan.iel.fm/emcee/current/user/pt/"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from emcee import PTSampler"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 48
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"\u4f8b:\u6df7\u5408\u30ac\u30a6\u30b9\u5206\u5e03"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mu1 = np.ones(2)\n",
"mu2 = -np.ones(2)\n",
"\n",
"sigma1inv = np.diag([100.0, 100.0])\n",
"sigma2inv = np.diag([100.0, 100.0])\n",
"\n",
"def logl(x):\n",
" dx1 = x - mu1\n",
" dx2 = x - mu2\n",
"\n",
" return np.logaddexp(-np.dot(dx1, np.dot(sigma1inv, dx1))/2.0,\n",
" -np.dot(dx2, np.dot(sigma2inv, dx2))/2.0)\n",
"\n",
"#\u7121\u60c5\u5831\u4e8b\u524d\u5206\u5e03\n",
"def logp(x):\n",
" return 0.0"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 100
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ntemps = 20\n",
"nwalkers = 100\n",
"ndim = 2\n",
"\n",
"ptsampler=PTSampler(ntemps, nwalkers, ndim, logl, logp)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 101
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"sampling"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import time\n",
"#\u521d\u671f\u5024\n",
"p0 = np.random.uniform(low=.0, high=1.0, size=(ntemps, nwalkers, ndim))\n",
"\n",
"starttime=time.time()\n",
"#burn in\n",
"for p, lnprob, lnlike in ptsampler.sample(p0, iterations=1000):\n",
" pass\n",
"sampler.reset()\n",
"\n",
"for p, lnprob, lnlike in ptsampler.sample(p, lnprob0=lnprob,\n",
" lnlike0=lnlike,\n",
" iterations=10000, thin=10):\n",
" pass\n",
"elapsed_time = time.time() - starttime"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 110
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"elapsed_time"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 111,
"text": [
"310.07400012016296"
]
}
],
"prompt_number": 111
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ptsampler.chain.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 79,
"text": [
"(20, 100, 3000, 2)"
]
}
],
"prompt_number": 79
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ptsamples_low=ptsampler.chain[0,:,1000:,:].reshape((-1, ndim))\n",
"ptsamples_high=ptsampler.chain[-1,:,1000:,:].reshape((-1, ndim))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 112
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u4f4e\u6e29\u90e8\u306e\u7d50\u679c"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"triangle.corner(ptsamples_low, labels=[\"mu1\", \"mu2\"])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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ICQnxcDXtU3CLKbQcf11cXMzq1atJS0sjLy+PqqqqLod2SxUVFXz88cfs378fu91O//79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\nu1VpaSmFhYUkJSUxffr0c4b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"prompt_number": 120,
"text": [
"<matplotlib.figure.Figure at 0x12c833d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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53R1tBbijf7yrYbtx40aAVvu6RaxIwS0XrDP9xa6PdfR9u26u4PoY+PrSr91R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\n",
"text": [
"<matplotlib.figure.Figure at 0x12c833d0>"
]
}
],
"prompt_number": 120
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u9ad8\u6e29\u90e8\u306e\u7d50\u679c"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"triangle.corner(ptsamples_high, labels=[\"mu1\", \"mu2\"])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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d2uQpJSWF+vp62traKC0tVbNCdu7cSWBgIAaDQW0aFRYWpnrRSic+Z+1d7UeQ\n2XvTI+FJD7cNpSCMJN4u1BpsQr33u79XAWuBAGzibAVmYAuLbB1pY1zFpJVFOGc5wpGRkQ7bzWaz\n2tCotbWV3bt3U1RUhJ+fHzNmzCAqKoqCggKKioqIiYmho6OD3t5e+vv7jwtxdHd3ExQU5DGRtrdD\nEezm5mZCQkKwWCz4+vpiMpno6elRy9kLCgoYGBjg3HPPJTAwELBdOVRUVPDJJ58wY8YM5s+fry4c\nDhZdV1cvSkc/ZfCBIJxJeLtQf4EtzAE2W/2AeGz50t3ARGAqsM0TximioQhxZmamQ9xUCXco002U\n+YMdHR1UVVUREBBAeXk5ra2tJCYmcvjwYSIiIpg4cSKVlZXqYlpfX99xIq2g1Xp+mpr9iUKn06lN\nm0JCQjh69Ci+vr4cPHiQb7/9lpaWFgwGA9nZ2dTW1gK2PO9Dhw7x5ZdfAraURfsrECUerYRAXHnM\niYmJ6v+B8jxBOBPwdqEeAFrs/m7BFqtuAlYA5wOPYsurHnFc/fDthWNw+KOkpIScnBzMZrOa1VFR\nUUFVVRXR0dHqwt/Ro0fp6urCYDDQ19dHTU0Nvb29hIWFMTAwoC7sDcbT3vRgtFotWq0WHx8fvv76\naywWC4GBgWoWi06nIyoqipycHPz9/QFb3FvJVrGnqalJzbsePKQXYPXq1YCtRar9hBgplBHONLxd\nqO3pxybIR4CngZ8BNzKCIj2UZ2afeWA/UWXPnj00NTWRnp6ujq1qbW1Vq/V6enpISEggKSmJiooK\nysvLaWxsRK/X09jY6FCA0tjY6NZGVwLuiilTptDS0sK0adPYtu34C5Enn3ySzZs3k5qaymuvvXZC\nxwaOy88GHE44fX19mEwmBgYGmDhxImVlZVitViZNmkRERASXXXaZOhnGPvMlOjp62LFnSd8TzjQ8\nf908fDTYsjtmYVtcvBbYf7qNcDVJXEG5XDcajap4T58+nYyMDEJCQhwaGBmNRq644gomT56MVqul\nq6vLId4bEBBwyux+8803iYyM5IEHHqCiooIrr7ySuLg44uPjiYmJYdy4cUyYMIGamhruv/9+oqKi\nCA8PZ8WKFSf1ujqdTs3F7uvrIzg4mJCQEHp7e2lubiYwMJCzzz6bmTNncvnllwOwfv161q1bR3l5\nOVlZWSxbtszpyfL2229nyZIlTtMjxZsWziRGk0dtxbaA+ASwGygf6Rcczo9d8arte3kkJiZiMpko\nKytTe0oMVMUBAAAgAElEQVSDrUKwq6uL6OhoKisrCQwMVBscBQcHO6TEwYl7ywr3338/NTU11NTU\nUFVVxdGjR3n66af54IMPyMjIAODmm2/m+uuv58iRI2r147hx49BoNIBt2vndd9/NP/7xD+bPn89X\nX31FaGgo5eXuP/bBGSj9/f3odDq6u7uJiooiIiKC3t5eDAYDgYGBZGVlsXLlSofWp2vXrqW+vp60\ntDTKysoc+qEsWbJERHiUotVqWbZsGQEBAURFRfHmm2962qRRw2gSaoXXsYn2aeGHLExVVlZSVFRE\nZmYms2fPpqSkhMrKSmJiYtTJK4GBgZhMJjXsoXSjc1c9OBRZWVlotVoCAgKYO3cuEydOVItM/Pz8\nAFuZt4K/vz9JSUkOx7B/PDQ0lHvvvVfd/uGHH3LbbbfR3Nzs0gZnMXOdToder8dgMHDkyBF6e3ux\nWq1q1sedd95JeXk5l1xyCWBbTLzoootISUk5bnrM4MnsgFpIpIz7gu9PoMp9wfN89NFHNDQ00N/f\nz+LFi0WoT4DRKNSnTaSHwr4HhZLZUVhYSG1tLXq9ntbWVnXQrFIabjKZKC0tpauri4MHD6rtTRWU\nKsAT4eWXX+aRRx5hwYIF3HHHHWi1WtUzBtTYMOCw3Rn2j9uLto+PDwsXLiQ2Nparr76ae++9l9/9\n7ndD2qZ4093d3XR0dBAQEKCejEwmE//6179oaGigpaWF7du3U1VVRUREBHfffTeAWhC0ePFitdwe\nXMehZSHR8+zevVvN4Kmvr1e3K1dzgxeNhaEZjUJ9Whn8g7f/u6GhQW1IFBsbS1NTEzt27ECv17N8\n+XIOHDjA7t271ekpxcXFGAwGQkJCMJvNTj3TE8nieOqpp/j73//O+vXr+de//nVaKvcuuOACcnNz\nueGGG5gyZQp33XUXd9xxh8v97d9Pd3c3er1eXSwNDg5mz5499Pf3qyGiwMBAUlJSVCFWugsajUZ1\nkK/yPu1L9O3L9ktKStQrGk9wqipfRyvPPvssZrOZlJQUlixZQkpKiqdN8lqGW/kqQn2C2F9O2wtF\nXV0de/bsAWzl4IMLXXbv3q16izU1NZSXlx8Xkz4REhMT2b9/P++++y7nn38+YPOcTweJiYl89tln\n7Nq1ixdffJGoqCgefPBB1Qt2h9FoBGyedktLiyrk/v7++Pr6qqEh5UpFKbMvLi5Wu/DZN7sC78vy\nGKnK19HETTfdxDXXXONpM7ye4Va+ilAPE/sUPIXB3nVraytJSUkkJiayYcMG9bJvwoQJxMTEUFNT\nw5dffklzczMtLS1qsYp957rhMHv2bDIzM3n66aexWq3q8+2PYy/a9kUx9vt0d3djtVrV9qeDH7cP\nwzg7XlZWFllZWezfv58HH3yQ5ORkddFvKPr7+1XRjouLY9q0adTU1HDgwAGamppoaWlh2bJlNDU1\nERYWRnJysjrcFziui15RUZE6bMBdUYwgjEZEqIeJ4sUNDi/YZytkZ2er4tPW1sauXbtoaWkhNjaW\nSy65hJ6eHsDmPVoslhMWaIDbbruNgwcP8uSTT/7g96IsDD788MMMDAywbt06Lrzwwh98vPPOO48P\nP/yQnJwcHnnkEQ4dOjTs5/r5+RETE0NgYCAhISEcOXJEPSG+/fbbZGRkkJqa6iC89idN+0VDQBVr\nZ131hJFjy5YtvPHGGwB8/vnnLF261OW+Go0Gq9WqfufOO+881q5de1rsHK2IUA8Te+/NXgAiIyMp\nKyvjhRdeUNt1KoUryqV8X1+fw7Tujo4OPvjggxMW6j/96U+sXbuWzz77DB8fnxN6bn9/P+Xl5RQX\nF7N+/XqMRiPPP/88bW1tLFu2jIceeoirr76avXv3sn//fi677DKn1YCu0Gg0LF26VM0SGQ5+fn5E\nRETQ0dGhDkZQ6Orqor6+nsrKSsLDw48b0zW4UZN96TjYTqzDFWrJDjl5cnNzsVqtLFy4kIULF/Kz\nn/3M5b46nY79+/fT1tZGTU0NDzzwwGm0dHQiQj1MhpqF+P7773P48GEmT56MXq/n6NGj6iQTpTOc\nsu/Ro0cB1N7Ow2HRokWsX7+eTZs2ERISooYinIU7LBYLzc3NVFdX8+WXX7Jjxw6++OILYmJiOO+8\n8/j5z3/ONddco4Y2pk6dysqVK3nooYc499xzOeuss3jppZfYtGmTKtaDM0AU7MMqOp2O7Oxs1q9f\nP6z31N/fj8lkorGxEZ1Oh8FgUG0KDAxkxowZVFdXk5ubq16pwPcl+/Zd9Ozxtpj1WCEzM5Nf/OIX\nw9r3nHPOAXCoMxBcI0L9HcPxquxLxnfu3InJZFKHtC5dupTi4mLANv+wvb1dTcNTGu2bTCZ27twJ\nnFh2x8yZMxk/fjxvvvkm/v7+Lp/75Zdfcuedd1JZWcm4ceOIi4vjRz/6EStWrODVV18lNDTUQXAV\nkpKS2LlzJxaLRRXK//3f/+WKK67gueeeY968eWqvDqWk2xW//e1vKSkpQafT8e9//9vtvsrnAt8X\nxsTFxdHW1kZXV5d6FRITEwNAamoqTU1NbNiwgfDwcDUMdbI50+JJC96OCPUwsBeBwQuKYPPsUlNT\n1UKXtrY2goODOeuss0hPT6epqYlvv/1WHQzQ1jb89iRZWVmkpKTwwgsvoNVq1fmFCv39/VitVl55\n5RWef/55nn32WbKzs53mY/f397vMDFHyp5U4+qJFi0hKSuKXv/wlN998MwEBAfT396uVioOfBzbh\nPeecc9i1axfvvvsu999//3EhCncEBQXR19dHf3+/mro4adIkWltbWbt2LZMmTeLuu+9WryqUAhdn\nJf3KyTQ8PJx58+YN2wZB8EZEqL9jKK9KEWil9ejKlSvVy27FS1bo6Oigo6ODrq4udRisyWRSQwbD\nrTycOXMmKSkprF692mWIxGKx8Otf/5ry8nI+/vhjEhIS1O0nS2ZmJnv32lqBazQaPv/8c2666Sbi\n4+Pd5mwrpcK9vb385S9/oaKiYsjXCggI4IILLqC0tBSdTsekSZMA2LlzJwaDgcjISJqbm2lqamLW\nrFnk5+ernjXYSt63bt2qVigC6gBdQRjtjKamTB7DvmUp2KaZKPfh+zhbaGioGiJISkpSJ7nU1tbS\n3t6uCvdwmDlzJlOnTmX16tVue06/+OKLVFVVOYj0SHHxxRfzxBNPcOWVV/KPf/xjyP1vuOEGrrji\nCmbNmuX0cT8/P3V6uk6no6amBp1OR0hICIGBgdTU1KhNrLKzs0lISGDTpk0sW7aMtLQ0TCaTmkvt\nrDHTkiVLmD179sm8ZUHwCtzXE5+ZWJ3FaYfCfvFQiU8rVXNKP4+nn36ar7/+moiICObOnUtjYyNd\nXV3qdG6llHoofvvb33LkyBHeeOMNNaZsH7JQ7hcWFnLjjTfy6aefEhcX57CP/Xu0327vadvfV7x9\n++fZnyB8fX3V+4cOHeK6667jmmuuccjysN9fOZ7FYmHFihXExMSwZs0ah/ephGe0Wq1DMyedTkdE\nRARBQUEkJiaq/awDAwPR6/VqK1T7XGr7Un5n8epTldnxXajH3e/mB32/Rjv33XcfERER3HfffSf0\nvIqKCqZPn86tt94K2DpNXnXVVSNh4qjA1fdLQh/DJDY2lpKSEpqamggPD1e96NzcXEwmE7t37+bo\n0aNMmDDBoZ0pQEREBCaTSR0SoNPpCAoKcpgWbs/rr7/O3r170Wq1LmPK+/fv51e/+hUvvPACcXFx\np/jduicpKYn333+fRYsWERUVxfXXX+9yX61WyyuvvMIFF1xw3GP2i6JKOMhgMNDb20t3dzeRkZF0\ndXURERFBVFSU+pkqKXtDDRawx372oiwenhqam5vVnubffPONyysnd8THx/Pwww/T29tLRUUFq1ev\nHtNC7QoR6mFSV1enpojZi0J8fDxms5mOjg7S0tJYunQplZWVFBcXU1payrFjx7BarbS3t2OxWNQF\nQVci/dBDD9HU1MSECRNc2rJr1y5uvPFGnnnmGS699NJhvwer1cqRI0fYu3cvBQUF5Ofn09PTQ1ZW\nFrNmzSIlJUVteTpp0iS3IZcJEyawYcMGFixYwLRp05g2bZrLfUNDQ1mxYgU+Pj48/fTTLvdTvOqA\ngAB1mnlPTw+7d+8mLCyMKVOmoNfr1RFe06dPx2w2U11dTXh4uMPoMwXFk5aUvVPPO++8w/PPP88F\nF1yAXq9n5syZJ3wMPz8/tblXbm4uTz311Kk284xgzAv1UJfJ9rHP2bNnHzfJJTExkbCwMHWiuPL8\n/Px8BgYG8PHxobe3VxU9Pz8/t+GPf/7zn3z44YfH5Ukrf3/22WfcdNNNrFmzhh//+MdOQyJgE7iG\nhgb27t1LcXEx+/fv55tvviEwMJD09HRmzpzJjTfeSEBAAIWFheTl5fHmm2/S1dVFS0sLZ511Fs89\n95xT71NpmZqUlMQf//hHrrvuOjZt2kRiYqK6z+CCnNmzZw9ZTanVatX+J83NzXR1dZGWlobRaMRk\nMtHc3KxOyamtrSUxMdHhNd0VucgwgVOP1WrlZz/7GS+99JKnTTnjGfNCPVzsf+QlJSWqd20ymUhO\nTlYfq6yspLGxkfHjx9PV1UVra6uD9+xOpNesWcOGDRvUYoDB1NbWsnLlSl577TWysrLc2vvBBx/w\n3//931xwwQVkZGTw61//mrPPPttpgcF//dd/cfXVVwOo4Za1a9eyaNEitm3b5jZ3esmSJRiNRq68\n8kqKiopctmm96KKL+Prrr93arIQ/Ojs70Wq1TJgwgcDAQBITEwkKCiIpKYm2tjZSUlLU4QxDhT1O\npTi7m+wjCCPJmBfqoX7Izjxt+654lZWVGI1GiouLKSgoAGyX+hMmTKC5uZnGxka1kEQJe7hi1apV\nvPvuuy4f3717NxdffPGQIn3kyBEef/xx/ud//odzzjnHYYFwOAtdPj4+3HrrrezcuZOSkhK1ob8r\nbr75ZtatW8e+ffucxqLBliN96aWXkpOTM+Tra7VaNYZ/+PBh/P390Wg0ZGRkUFlZqZ74lCsY+D60\nUVRUdFxPFvGkhdHOmEzPG2ruIaA29rGnpKSEkpISMjMziYyMPC5P19/fX/UCm5ubaW1txWAwqALt\nTqSvuuoqFi1axI9+9COsVqt6GxgYYGBgAKvVyt69eznvvPMcntfX1+dw6+7u5o477uCXv/wlqamp\nWCwW9RgDAwP09PSoN6WBf29vr7pNsbO/v5/U1FS137b9Mez3UZpLzZo1yyGf3H4f5b2sWLGCiy++\n2O3nrtVqCQ4Opr29nebmZjo6OvD398dsNquVn21tbeTn52MymSguLmbz5s2qGJ9Igc2JIoIveIox\nKdSDGSzcSq/pkpIStm7dSl1dHUVFRWq4Q9lXCXnk5+dz8OBBUlNT1dFWERER6HQ6AgIC1JiuO8rK\nynjmmWdcPt7a2sr777/PZZdd5vY47733HhaLhZtvvnnI1xyKc889ly1btlBSUsKRI0fc5oD/5Cc/\n4f/+7//cFtrMmzfvuOZLg4mIiKC9vZ3e3l78/Pzo6+ujp6eHtrY22tra1JmNVVVV7Nixg7a2NtXD\nVnLb7SsR7cv+BWG0MiaFejgLSzk5OeTm5jpsS01NPa4ir6ioiN27d2MymSgoKOD9998HHC/Lh6pE\nvPPOO7n22mvdTh1/+OGHmTdvHueee67Lfbq7u1mzZg333HPPCXfXc8aSJUuYMmUK9913H1dffTXn\nn38+u3btcrpvdnY2Wq1Wff/O8PX15fnnn3cbU1YaNCmfRXd3Nz09Pfj5+VFWVkZNTQ1xcXGkp6ej\n1+tJS0sjIyODurq644Y1OLsqEoTRyFAx6rOBWOBLoN1u+2XAJyNl1OnGmWibzWYMBoMqzJmZmRQV\nFdHQ0EBmZqaa/ZGZmUlUVBQA7777Lj09PRw6dEgdVnv06NEhy7l37tzJ888/7zR+bLVa2bZtGzt3\n7mTnzp1q+EFBud/f388dd9xBeno6F154ocPJYfBU8L6+PodhAfD9HDv7lDyNRqNOnNBoNOTn5/Pb\n3/6WLVu2qIuS9ieEp556ihtvvJEf/ehHnHXWWQ7vAWwZLAsWLOCf//wn119/PQ8++KDTz8OZ7QaD\nAbCdLKdPnw6gnkjDw8PZuXOn2rd6cEqes86HzrYLQ7N3716uueYarFYrZrPZbQ79D6G1tVWdlJSY\nmCjd9b7DnUd9J7AJuAMoBRbbPeY6GfYMoKioiOnTp7Ny5Up129atWyksLKSpqUldsDpw4AChoaGk\npaVRVVUF2IRFKR1XKhOH4vDhw24nkjz55JM888wzhISEuN2ns7OTP/3pT24H2G7cuJF58+axefNm\nVUD37dvHNddcw1/+8he3ds6aNYtLL73UZZP3GTNmcNddd7Fs2TLMZrPTfTQaDatWrTquSnEwSkqj\nTqejo6NDXURMS0sDYNOmTWqoIzIy0uEHrbQ/dXbl5GxSjzB8amtrmTRpEp988glffPEFf/jDH07Z\nsSdNmoSPjw+33XYbV199tfSptsOdR30LcAE2T3oy8N53/z4/4lZ5gMH9pSMjI9X4ZkNDgzpiSvHi\nsrOz1Qni8fHxdHV1MW7cOMDm5XZ2dtLZ2an2snDFH/7wByoqKlzGsVtaWqioqHA7IPXtt9/ms88+\nY+PGjW7j4X19ffzjH//gtttuY926dXzyySdMmDCB3NxcbrvtNl5++WXmz5/v9qRx8cUXu83cuOWW\nWzh8+DDLly9n48aN+Pv7H7dPb28v4eHh6sltMDqdDj8/P0JDQ4mIiMDf35/GxkZ1UTE3N5eCggIi\nIiLUdQIlLl1XV6c2zgLHwbfutgnDR6/XM2XKlFN+3JSUFL744gsA1q1bx2effXbKX2O04s6j1vB9\nuOMwMAe4HHgO7+kRMgO4BLjoVB40MzNTHVirkJycTHV1NQcPHlS7uWVnZ5OdnU1ycrIakx43bhxh\nYWFuq/rseeONN7juuusctimZFBaLhT179pCRkYGPj4/TrIuuri6eeeYZXnnlFfR6vUOWiHJTjvXR\nRx8xadIkrr76atavX8+5556Lj48P77//PkuWLOH3v/89jzzyCB0dHcdlkyjHSkpKory8XD2mvS0D\nAwNYLBYee+wxwsPDefDBB9VtFosFjUaDRqOhtraWiRMnuvxMlOO1trZSVVWFyWRi5syZPProoxQV\nFZGbm8ukSZOYNGkSe/bsoampyWHBMDQ01GXu98kUvki8W/AU7tSkEciw+7sdWACEA+c5fcbp5WfA\nh8AVwAZsIRrXsYEhiI2NJTMz87gfsbI9MjISg8GAXq93KGDJzc3lwIEDJCUlqQITFBTE+PHj1Uq7\n4OBglwuFJpPJbcratm3b3OYx79y5k+Tk5CE9nG+//ZYXXniBX//614BtYe/mm2/m97//vRr//elP\nf8qUKVNYtWqVy7h6fHy8WtbtCh8fHx5//HE+/PBDp4+3t7e7DePA91WKLS0t1NbWsnv3bnJzczl6\n9Ci9vb2sWLGC5cuX09ra6jD9BWyLoLfffrt6ZSACK4x23An19UD9oG19wA3Aj0fMouERAPwCmzj/\nP+Aq4ErgVkB/Kl5gsOcVHR3NypUrmTFjBmDrS/3MM89QUFCgLjzqdDq1T0ZHR4fa20NpMuSM4OBg\nlzHl/v5+Nm7cyM9//nOXdubk5LBkyRK37+XgwYPcdttt3H///WRkZLjcT6PR8MQTT3Do0CG2bNni\ndB+dTseTTz7Jvffe6zb+7ufn57K4ZtKkSRw5csStzXq9nqCgIMaNG4dWq+XQoUO88cYb+Pv7k5mZ\nyfvvv8+mTZsc3o8y2KGkpGRExFnCJYKncBejrvnu33gnj1WPgC0nQjfwH2ye/cdAEXAX8DegE1g9\n3AMNNwNAeXzJkiWUlJSwadMmenp68Pf3p7a2lqqqKpqbmwkICCAhIQGDwUB3d/eQvT2UmLIzUcvN\nzSUhIYGzzjrLIRNCyfRoaWlh165dPPPMM2qIQ0HJlqiqquKWW27h7rvv5tJLL1WzO+yPY2+Hn58f\nCxYs4Msvv+TKK69UH7e3b+7cueTk5PDCCy/w0EMPqdsHh3u0Wi0ajUa1SzlGfHy8y/i0gtFoJCAg\nAL1ej8ViUXOpq6qq1DBTY2Mj4eHhGI1Gdu7cqfaeNhqNDn0/nE0sH0nRXbVqlXp/zpw5btcXhLFN\nXl4eeXl5Q+43nBLyzYDyKw0AzgK+BdJ+qHEnieY7e74GFgKJ2LJSSoHfA+8Cu4BiVwcY6sc6+HHl\n74aGBgoLC9VFRKVjXEdHBzU1NWi1WsaPH8++ffsYGBggNDTUZZc8Bft868Hs37/fbVikvr6e8PBw\nNXThjM2bNzNv3jyuuOIKt3bYEx0dzeeff+52nyuvvJLXXnvN5eOdnZ1OFxLB5lEPJ/NCq9XS19dH\ne3s7Op2O0NBQNS6vlNErDZvMZjOpqanqYrAnu+XZC7UguGPwiVxJhx3McFa80oFzv7slY1vA++Kk\nLTx5NmOLm9+FzcZg4N/Y8ruHvdh5IotLSnlyfLztIkNpbarX6+ns7CQxMZEZM2ZgMploaWmhtbV1\nyBxqdwUsQUFB6gxDZyQlJdHc3ExLS4vLfTQaDXr9iUWDqqur1ffoivz8fLfTU5xNB1fw9fVl6tSp\nbo/v5+dHcHAwwcHBgE20L7roItLS0khISKCwsJCioiI1La+2tpbCwkLAVuWZk5NDXV3dcWsP0kVP\nGI38kKZMe4ELT7UhQzAVCAO+AiyAcs3+e+BPwP+HLRxSAywB/uzuYEMVQDhbUITvL6EjIyMJCwuj\nsrKS6upqqqqq8PX1pbe3l9LSUvR6vdrfIzQ01GVO8Q033KD27rCPUyshAqWl5+DHlUIVnU5Heno6\n+/bt48c//rHDSUHZX+mGpxzTPoRh760rE8M1Gg2HDx8mLS3NoVDGvjhGo9Gwfft2Xn/9dYfj2b9+\nfX29KtSKLfb7ZmRkqL07nKH0IJk4caLqnR87dozU1FSqqqqoqanh8ssvJz09HaPRSFxcHGazmZKS\nEtXDLikpUQuUBiNFL8JoYjhC/Tu7+1rgfKB2ZMxxylLgKeAIUIdNrF8HFDfyPmAutnh1CnAptnRC\nlwyOIaakpLjc1/4HrQiP0qho/vz5bN68mYiICMxmM0eOHFEbMSkYDAaCgoKcLm6FhoaqTfCdkZKS\nwssvv+zurRAeHu7Wo46NjWXr1q1ujzGYoKCg4zIpBqOIoyu2b9/uspMe2Ipjuru7efvtt92+jtls\nZu7cuXR3d1NTU0NVVRUNDQ34+fkRHx9PQ0MD4eHh6mzKxMREdXFVObGejCgPN4Z4JmOxWNi1axd9\nfX3s27fvtLymv78///u//6s2+nrssceOS2MdSwwnRLCK72PU/dhE8H1sHuxI4we8BbwIFAA/x+bN\n92Lzmge7qr7YMlPcMayZdkqhS1NTE5GRkQ5e2erVq6muriY7O5sDBw5QXV3Nnj17aGlpwWw209zc\nrE50CQ4ORqfTufSq4+Li1GIaBfuhAeeccw7vvPOOQ/qd/cLi1VdfzW9+8xuysrIcPGBl0bClpYV5\n8+axbds2AgMDnS44wvces0aj4euvv+aRRx7hww8/VL1h+0IaX19f5s6dy9q1azn77LPV7UoKotls\n5oILLmDPnj1ERkaqZeb2Xnl1dTWzZs1y2e1O6aIHtkZNU6dOpaGhgd7eXmbNmkVcXJw6rEER6ZCQ\nELKzsx2aMoFjMZPMTDxxSktLmTFjBhdeaLuQvuKKK9SpLCPFwMCAuuD8wgsvMH78+DER+3f1/RpO\njPpf2PKpFwPXAg8ArpNoTz0GbLFxgBzgI2wCvuy7bRdhy6UG24nklGAv0tHR0RQVFVFUVAR8vwBo\nNBopLS2loKCAsLAwoqOjCQoKor+/X20s1Nvb6zZOHRUV5dAe1B6tVstVV13lthLQZDK5bew/btw4\nUlNT1Yqv4ZCeno7FYuGbb75xuc+ECRNcpsC9++67XHrppQ4NkgYzefJkVYidYbFYaG1tVU8mlZWV\nVFRU0NfXR1paGtOnTyc5ORmTyURtbS1paWncddddDk2zlP8z+6sh4cQZGBggKSmJ7du3s3379hEX\nabDl4isTfJSxbGOZ4Qj1emAdthDEwu9ui0bSKDt6gWex5UnPwhabVjI6ZgH+QAK2uDl87/mfNMoP\n297jU/p8pKamEh8fj8lkoqOjg7a2Nrq6utS84kmTJhEREUF3d7caa3VFVlaW2rPCGdOmTaOiosLl\n4xkZGQ4l085YvHgxL730Ep999pnLYbn21NfX09ra6jIjpampiW+++cZlkU1LS8uQi5Fms5ljx44N\naYtS/djW1oavry8NDQ2sWbOGPXv2qFciaWlphIWFqTHpoqKi404iyiKitDwVRiPDEepm4AOgElvY\nQ7mdLvKBLdgKcH6MzWtej62r32TgHeDoqXxBZ5NcMjMzMRqNamZBWFgYpaWlNDc3k5KSgtlsVi/L\nr7vuOofLfHd51KtXr6ahocGh5Nv+Nn78eMxms1p+rdFo0Ol06u2ee+5hw4YNmEwmh3JurVar3hYu\nXMgNN9zAq6++yqJFi/j444/x8fFxeB0FjUbDX//6V6655hpiY2PVY9i//ltvvcWCBQuYOHEiPj4+\n6s2+zPzgwYPqMZ0d47XXXuPyyy93+/8QEBCAwWBQPetzzz2X/v5+Ghsbqa2txWw2YzabCQsLc9pl\nLTMz023fEkEYLQxnMXEV8E9gGzYPF2ye68YRsmkw3diE2Qo8CKR+Z0ck3y8ojgj2P/KioiJ1PmJ0\ndLTqaUdERKiLkeXl5WzevJnAwEB0Oh1RUVG0t7erA1td4c7DGz9+/HGTZOyZMGECM2bMoLCwkJ/+\n9KdO99FqtSxevJjFixdTXFzMHXfcwZQpU5g8ebLDfmazmTfeeINDhw657IrW09PD+vXr3YZj4uPj\nHYTaGS+//DI1NTVu9+nu7qa7u1ttbHX06FEmT56sNmlqbGwEbO0w7UMeSnUiuM7gEYTRxHA86huA\naeHsGQgAACAASURBVNh6UC/47rZwJI1ywjFgLfBHbBkec4DrOL7E/ZTgKtc2OTmZ9PR0YmNjSU9P\nJyQkRM1RTkpKIiUlhY6ODo4dO0ZGRgbjx48fMo8aYMuWLS7FPCUlhcrKSjVNzxmXXXYZGzcO77w5\nbdo0/t//+3/ceuutvPXWWxw7doxPP/2Uxx57jMWLF9PW1sbf//53l71JlMnrg0Xenvz8/CE92aFK\nyO3p7+9n4sSJ6PV6LrnkEqKjo9Hr9URFRaHX6wkPD3dIoWxqalKrEwXhTGA4HvWPsHmxnl7K7gV2\nYAuFWPk+l/qkcZe+Zd+EvqysTI2DlpWVYTAYiI+PVysV58yZ4xBvVmYYDsWFF17Ixo0b1Sbs9uIe\nHBzMeeedx549e5g7d+5xj2s0Gq644gqeeOIJmpqamDRpkvraCvbN/QcGBpg/fz7Tpk3j8ccf529/\n+xuzZ88mKyuLO++8k5iYGKfPU+4XFBQwZ84ctVzcPr9bydl+4403eOuttxxyuU+G0NBQ9X0BBAYG\nEhMTw7XXXqumSiooC8DKfUE4ExiOUBcC52Ar0fYGTllmx2CGk2974MABNSUvIyOD2bNns27dOmpr\nayktLSUsLAx/f381ZjwcNm/eTH19Pdddd53TBk2zZ8/m448/VoV6MAEBAVx11VW8+OKLQw4OUIiL\ni+Mf//iH2jhqOPT19bFt2zb+/ve/u9ynoKCA8PBwt82fjEajKupDERAQQFRUFJWVlXR1dVFTU8P8\n+fMpKSnhV7/6FWlpacTExHDgwAGSk5PVLB1nOFtgFITRwHB+oRdjy7Iox9Zf42tg/0gadbpxFeqw\nF+7Y2Fhmz55NWFgYZrOZ+Ph4dfZfYmIiYGuANGHCBMrLy/nqq69obm4+7piuRLGzs/O4GY0KN998\nM//617/cVvLdfffdHDx4kCeffNJl1zpnnIi3u27dOhISEo6bhG6P0Wh0GMM1GKvVyu23385vfvOb\nYb2mXq/Hz8+PCRMmoNPp6OvrIz4+HrPZTH19PXq9Xv0bUMvFZSFROJMYjkftfuz1GCI2NpbU1FTy\n8/MBmyhs3bqV/Px8qqqqCAwMBKC5udkhJS8oKEiNQbuKWZeVlfGXv/yFefPmHecRR0RE8MQTT3D3\n3Xezfft2pyGJ8ePH8+abb3Lttdfy6quvcsstt6j7uPKwB4dEwLGwxf55X331FWvXrmXjxo3HhTsU\nrFarmnFif2xlf41Gw5tvvsnBgwf5v//7P6c2DWZgYAB/f39mzJhBW1sbvb29/M///A8Ay5cvx2Aw\nEBYWxpIlS9RhtjIjUTjTGI5QHx5pI7wF+3aY9v8q1NXVqXHP8vJyVq9erXpyERERWK1WOjo6mDhx\nopqRoOQB63S6IUMhJSUl1NTUOMSJFa6++mreffddXn75ZW677Tanzx83bhyvv/46S5Yswc/Pjxtv\nvHH4b94NW7Zs4ZFHHuHFF190u4gIthxsV+PHrFYr//3f/019vfs1YD8/P3p7e9HpdEycOJGenh4K\nCgrUx00mExMmTFBT90wmk4jwKWZgYIDf/e53tLe3u806Ol1s3bqV9nbbwKlbb711REaBeTM/pCnT\nGUt0dLRbr0wR8lmzZmEymdQuc/Pnz6epqYmcnByKiooc8pj7+/vdFrzY85Of/IQdO3awbNmy4x7T\naDT88Y9/5Gc/+xlLly51GYeNjo7m3Xff5frrr6e2tpb77rvvBy/m9fT08Kc//Ync3Fxee+01t3Fn\nsAnoyy+/zIYNG5w+3tzcPKzF1d7eXhITE5k6dSoRERF0dHRQVVXF5MmT0ev1aqZNbW0ts2bNAhz/\nfyQl7+Rpb29nzZo1/O1vfwPwqDBee+21ahXrO++8Q1pamgj1WMb+B11UVKRW/M2fP1/dHhkZ6VAI\nYzabefvttzEYDEycOBGDwaB63T4+PsMSJoX33nsPf39/li9frm5TQghWq5UpU6awYsUKnnrqKV56\n6SXA1ndDQQkxTJ48mY0bN3LXXXfx85//nD//+c9qPN2VaCuvo/x78OBB7r77buLj49m8ebNDQYn9\na+p0OlpbW1mzZg1r1qzhpptu4oILLnDaVa+yspIpU6bw1VdfufwMlNL77u5uGhoaMJvNNDQ00NPT\nQ3R0NF1dXRQVFREREUFYWBj5+fmqWAunFj8/P26++WZPm0Fqaqr6/S0t9ZachtPLyeVNncEUFhZS\nXl6u/h0dHe3gxTY1NREWFkZrayu5ublqH5BLLrmEc845h+DgYCIiIoiKinI7M3EwW7ZscZtWdu+9\n95Kfn89zzz3ndtEwNDSU119/nRtuuIEVK1bwzDPPqJeO7ujp6WHTpk1cc801LF++nFdeecVtLxGA\n6667jv/85z9s27aNhx9+2OV+7733ntuFSIXu7m4aGxvV3HGlaOjbb7/FbDarqYdRUVH8/+2df1ic\n5ZnvP0xmht/DMPyYAAmJJEEUYkhziC4lJVlSN7LWbWSrsWo9W83xWLVx9cRfa9dVT3Sjqbr2cvVS\nW89R2ybRNLrdJJ5oNqaJmIYaUKEhJMEEGgLCTCYQYIABzh9vnod3BgYGAsyQPJ/r8nJ+vMw88+R5\n7/d+7+e+v3daWhqFhYVeG4iqTFxxoaE8aj+IzuLCCPjDYrHIAozy8nKSk5MpKiqShrm+vh63201v\nb29A3vUtt9zCgw8+yJtvvjnk+7GxsezYsYNbbrmFvr4+1qxZ4/ezwsLCuPHGGyksLGT9+vV897vf\nZe3atVx33XWEhYXR09ODw+Hg1KlTnDp1ik8//ZSdO3eSlZXF66+/Tl5e3ojjra+vp7KykkOHDg17\nMdq8eTO///3vOX78+LCfJ9IFjUYjnZ2dtLW1MWfOHFJTU3E6neTl5ZGbm0ttbS0ZGRnS09IzVAhE\nbSgqpjLKUPug30gsLy/36r0nYq833XQTe/bsoba2FtA2EkXcVHiCiYmJtLS04HQ66e3tJTo6WmYt\nDMeLL75IRkYGH374oVfIRc/MmTP5zW9+w9KlS1myZIk0qPqMEn14Ii0tjZdeeonPP/+cxx57jKef\nfhq3201XVxc2m02mHy5cuJAHHniAlJQUwFuWVB8y0T/etGkT119/PWaz2e8xlZWVrF27dsh0RT1C\n6MpgMMg2ZkajkZkzZ8pKxNzcXKk/7XQ6pfZKfn6+lDEdbq9hKJQRV4Q6ylAPw1AbdhUVFV7xWqvV\nSnR0NGlpaVIPJDk5mePHj8uMkJ6eHmm8hajQcNTW1vLII48MK1qUlpbGU089xfr163nvvfcC+j2L\nFi3igw8+oKmpidjYWK8O6IEUyejp7+/njTfe4NVXXx021a69vZ1bb72VDRs2DJuFIjJFwsPDCQ8P\nx2Kx4PF45OtHjx7FarXKcEh0dDQZGRlyU3fevHnys0QZuf7fTxlhxVRGxaiHwVcas7CwkPT0dBwO\nB1lZWdKTTUtLIyMjg87OTmw2G9nZ2eTk5BAeHo7H48FkMhEdHU1ra+uIRlrg8XgoKysb9phly5bx\nxRdfjLrAJSUlxctIj5ZTp05x44038u677/Lhhx+Sne2/z/GDDz7I4sWLR0wV7OjokHMTGxsLwKxZ\ns+jp6aGpqYmCggLZ0Hb69OksWbKErKwsbDYb6enpg7Svk5KSAjbOqo+iItS56D3q0dz2NjU1SWEm\nGNCSyMvLIykpifz8fC8FvbCwMOx2u2x0O5oMkB/96Ee89dZb8mKgDyWIEMf06dMxm83U1dUxa9Ys\nr3CH3njrS7WHKkTRf6a/YhYRBtmyZQuPPvood9xxB/fff79XXNr3+C1btrBv374RlfQEbrcbg8FA\nW1sbs2bNIjc3l507dxIWFkZ6ejo2m428vDwpjKXHbrdLnZWhNhSVIVZMZS56Qx0I+pNc386pqalJ\naks0NTWRkZEheyBWVVVht9u58cYb2bZtG+3t7RgMBhISEujp6aG1tXXY73z88cdJSUkhNzeX22+/\n3e9xK1euZPXq1RQXF2MymYiNjaWkpMRv0clYOXPmDGvXruXLL79k8+bNI5ZnHzp0iPvuu2/Mwkhd\nXV1UV1djt9spKCiQutOA176BIDU11Ustz1c5TxlqxVTmojfUw53AQ3Un13tqwmiL51lZWSQkJLBr\n1y7q6+tlSbnVapUbdGLTcSRDDVqIYcOGDbS2tvrN7njqqad4++23OXHiBN3d3ezfv59/+7d/4+c/\n/zmFhYWBTMGIlJaWcu+997JixQp2794tf4M/3G43t956K0888YTfKkqByPCIjY3F4XBgNBqZNWuW\nbGJ78803s2rVKl588UVaW1vJzc3ltddeY86cOaxatUqq5TU0NHhdRIPZesu3efLSpUuDNpbRsnPn\nTpqamkbUUA8m7777LocPH8ZgMHD//feTmJgY7CGNmUCbJ48tSDm1Cbj56FBhkfLycq9eiuJ2Oycn\nR25ilZWVSUN87Ngxampq6OjowGQy0draSldXF2fOnAlYXS8jI4M1a9awevVq8QPke0Mp0O3cuZP7\n7ruPvLw8CgoKmDVrFgsWLCAhIcHvdw5VCHPixAlee+01PvjgA1566SXZNFZ/rD6UIl5/8MEHqaur\nC0jPIyIiQnZyAS3d0Ww2U1tbS3R0NHfddRfFxcW8/vrrtLe3k5mZSXl5uTTUwiCPV/PakbjQm9vG\nxcWxYsUKzGYzM2bM4Jlnngn2kLzYv3+/NGyvv/46r732GkVFRcEd1Djib31d9IZ6pBi17/v6jtag\ndUgGrXeh0+mUbaF27dpFY2Mj9fX1dHV1ER4eTmRkJHV1ddTU1GA0GomMjMThcAQ06MTERLZv305O\nTs6Ihhrg9OnTvPPOO1RXV3PixAkOHjzID3/4Q/7xH/9xyLZVbreb48ePU19fz4kTJ9i2bRuHDx/m\nBz/4AWvWrPHSHxnOUP/2t7/liSeekB2kR8JqtTJt2jTCw8Ox2Wz09PTQ09OD0+kkLi6O4uJiuVkp\ndL9zc3PJysqShlm0ItOn6AWiMT4Wo34xGOq6ujri4uKCPZQRKSoq4tFHH70oDPVFH/rwZaSTWJ8h\nUF5eLpu41tbWYrVaycrKYvv27ezbt4+uri5Auw3Pycmhra2NxsZGIiIiiImJwWazBWyon3jiCe68\n80727NnjZRz9ERsby1133SWfOxwOnn32WQoKCli5ciUWi4WIiAh5B1BTU8PMmTOZOXMmM2bM4Pbb\nb6e4uNhLTW8kDhw4wEMPPTSquLTb7ZZedU9PDy0tLcTFxWG32/F4PLS3t1NVVUVaWprcUMzKyqK5\nuVl+z1AXnuHwpwmiUIQqF71H7ctovC1RNi5CIElJSSxcuJCHHnqILVu2EBUVRWZmJg6Hg7q6Ojwe\nD263m5iYGJkT3NTURHd3d0AxweXLlxMXF8e6deuYNWsW4F3kon/s7zcePnyYHTt20NnZSVdXF3Fx\ncSxevJiFCxfKmLpAnwGifzxU5sjRo0dZsWKF3EwNBJFJEhUVxfLly+ns7KSmpkZqfQvpWNHhPSsr\ni9WrV3tdCESqpH5zc6QGAcqj9o/yqIOL8qgDZDQGWiCyPxYuXCi9bLvdTnh4OCUlJbz33nt89dVX\nhIeHExMTg8lkIjw8nKNHj+LxeEhMTJS39cPx8ccfs3btWvLz87n22mt5/PHHh5REHY558+Z5FYcI\nxppT3d/fz8aNG3nwwQd56qmnvLz44UhISCAuLg6TyURLSwv79u1jxowZlJSUkJ6eTlVVFTk5OVRW\nVtLZ2Sn/TjQW9t0jgAEDLDxmfxuKypNWTDWUoT4P7Ha7bMMlFNy2b99Oa2srBQUFNDY2snfvXsLC\nwrjiiiuYOXMmUVFR7N69W3qeIt4rNJjFa/4aDDz33HPyu/Pz83nllVdkqbne2Prz6nyF/n0f+8uz\n9n3s8Xh4//33eeGFF3C73bS0tARspAHa2tpISUkhMTERh8PBmTNnsNvtsluLiEsfO3aMnJwcVq1a\nBWhGWORRNzQ0+M2phpENsiodV0wVprqhDmOcm+76O3n1t9P67AKhSQFI3Yn09HTmzZtHWVkZ5eXl\nsmJx+vTp9Pf3k5KSQmtrKxaLBafTSWtrq98Qhj+EwV6zZg2ffPIJ69atCyh2PR7s2LGDBx54ALvd\nzueffx7Q3xgMBuLj42lvb8ftdtPd3Y3T6aSnp4fw8HASExPJzMzE5XJhtVqZN28eR44cITk5We4D\n6HU9hvOaleFVXGhMdUNtBU4HcwB33303O3fuxOFwyJBCUlKS7I4tYqelpaVUVlYSEREhNxmdTidG\no5GMjAxaWlpwuVzSiAVKfX09R48eZenSpfzyl78kMzNznH/hAA6Hg7Vr1/LZZ59x/PhxKUoVCH19\nfTLuaTab5cVISJZmZGSwbNkyXC4XdXV10mCLOxURl7bZbLLAyDfDA0a3UagMumKqMJUN9bXAz4Cr\ngbPAyC2tA2C06Vz6YhdhQJqbm6mtreXkyZNkZ2djs9lkXHvOnDmEhYXJuGt4eDgpKSlSWW4s3Vi2\nb9/OL37xC5YvX86jjz7K97//fVJSUmS4Qh/iGKps3Pd139cqKip4++232bRpE6tWrRpRqlSP2DCM\niYnB6XQybdo0EhMTCQsLIyoqitbWVlmG7nK5KC0txeVyMXfuXDIzM6W+h8icGY7xTsVTKEKFqWqo\nVwD/hGaoz0z0l43kpeljpqB5nhkZGbI7udPpZOHChVKAX8RhDx8+TFVVFX/6059obW3FZDIRExOD\n0WjE5XIFVL0ouPfeewH46KOPWL9+PZ2dncyfP5+bb76ZG264QVYTNjU10dfXJysl/dHb28vWrVt5\n4YUXaGlp4dZbb6WlpUV2lgkEs9mM2WzGZrNhsVg4deoUoJWjR0REEBUVRUZGBjabjVOnTlFTUyMz\nT8R4q6urB2lOiw3EoWLRyiCPnttuu02Gldrb273kbUOdL7/8Uq6zxYsXj3lTPNSZir9qBvBn4H7g\nDSAVWAy4gWpGbsY76vSp0RRPNDQ0eKXqlZeXU1pais1mk5KcjY2NtLS0EBERQUVFBWfOnJEhi6am\nJjweDw0NDQE3xR2Oa6+9ltLSUq666ioqKyulxvMbb7whKw0B9u7dy4EDB/B4PHR2dvLee++RnJzM\n/v37x/zdBoNBNlY4ffo03d3d2O12mfUye/ZsSkpKqK2tZdeuXYCmtZ2ZmYnVapXaHgkJCTLLQ8wR\nMCmViL5ciOl5V1xxBevWrSMrK4vIyEhmzJgR7CEFxJNPPslHH30EQFlZGYcOHeKSSy4J8qjOjwut\nMvExoBh4HHgSOAjMBz4D3gKGa6w2rifScJuPwqAIb2XevHkcOHCAV155BY/HQ3Z2Nq2trYSHhxMX\nF4fL5aKrq4uWlhb5uedjpIdj+vTpPPzww1xzzTU8/PDDVFRUsHLlSkwmE+vXrz/vzzebzVIYymw2\nYzQaCQsLY8GCBeTn58sNw6SkJJqbm9m1a5c01itXrpR3I8KbHioerWeyDPaFaqjfeeedgNqkhSpz\n587lww8/nPJNby+UPGoD0Af8b7Rsj/8E1gIvAZcAzwPZDG+ox5Xh2j2JDUXhTYsqRHFrGRkZSVdX\nF1arlYSEBA4fPozb7WbWrFlERkbK5q4TQWNjI7/4xS+47777+Od//me2bt3K888/Py6fnZycTHx8\nPNnZ2VRUVNDY2CglWQFqamqIjo4mPz+f6upqnE4n6enpzJ49m87OTjkfEFxxJYUiVJhqhrqfAWO9\nDvgIOHDuva+Bw0BQzmwh1iQ2vFJTU8nKyqK6upqEhAQSEhJk7Lq4uJj29nZSUlKorKwkMTGRvLw8\njh49Kjtu22w2oqOjZZhkNJkggSJ0op988slx/Vy3201bWxsVFRW43W4iIyNl+EOfKSJCQnV1dbS1\ntbFs2TLpZesNtLgz0Yc8JkuESaEIBaaCoZ7GQEZHv89rB3TH3Qb8LXD9eHzpcCGNPXv2kJCQ4BXj\nhcFdRURKmb77iMPhwGKxyDhgTk4OFouFsrIyUlNTiYiIoLW1Vaalbdy4ccLCH+OJUMBzuVx0dHTI\nC0tERARxcXHEx8eTm5tLdXU1nZ2dUsNDEBsbi81mGzSnApFNk5SUpLQ6FBcdoW6olwO3AkfRwhm/\nQzPWvQwUu5iBbwOPACXAkbF+2fmkcgkP0PczEhISpAcoWmuJAg5R1HHgwAGZnmez2Zg5cyZtbW2c\nOHECj8dDX18fUVFR9PX14fF4iIiIkIawu7ubiIgI+vr6JsTrHg5RTWkwGDAYDLS0tMiUP6PRiNFo\npK+vj4yMDNn9RmwQRkdHc+LECerr6ykoKJCVhzt37pQbsQK9xvRwcWqF4kIllA11MbABLf4cgeYp\nHzr3Hwx4193AbmAp0DjWL/OVLx1OPe+mm24K6DP13uGePXs4efIkaWlpUgoVtNzh6OhoqdkhUvdq\nampktV5mZiaRkZHU19fLSkbQvNDTp0+PqsXXWImJieHs2bPyudFoZPr06TI7Bbzzsg0GA93d3URF\nRWGz2Th58qRMuYuOjiY7O5uqqioSExPl3UN1dTUVFRXk5uZKoyzyz0fqKKP/91OetuJCI1QNdRLw\nY+CnwMdoced8IIUBQw2ax12E5k0HbKT9deAYy0muFwISMeqh9JBra2uJjY3FarXidDopLCz0Mt4i\nC8LhcMiei9HR0TKvuL6+XmZPCC2Qtra2gMrNx4uIiAg8Ho9MG4yMjJSes9ggFZKlgMyhFp3Zv//9\n73PkyBFcLhcul4slS5Zw0003ybmqrq6WZfUiV3r79u3y+wP59xnvsEigHTgUiokklNPzvoOWL+1E\n2zx8Gq0C8WndMXFoZeSBqdRrTEh6nj9DrX9PlJY7nU6pBSI0P0DTDamrq5NGqr6+nvb2dkDboLPZ\nbDJz4i9/+QtOp5OoqChiYmLo6uoa1IvRXw72cKJPIxEVFYXBYCAqKoqzZ8/i8XiwWq0YjUaZajh/\n/nwZyomNjSU+Pp5bbrmFhIQEjhzRIlOioKeoqMgrhu8b19enNg4lwOSL/gI5EVWJF0p63uOPP87v\nfvc7AI4cOUJ5eTmXXXZZkEc1di6//HI6Ojowm81YrVb2798/pirfYDOV8qhFVodAxKIfQzPK/wu4\nDmhDC3mMlnE/kYbTPxYFMIDMGRYGu7a2lry8POllCmpqajh69CigGWiLxYLNZqOqqoqenh7sdjtt\nbW3SKBuNRs6ePStF+MVjg8EwyFAbjUbi4uLo7OwcUQNbGPqIiAjpyQtvec6cOXzxxRf09fVhsVjo\n7e1l2rRpxMfHc91113Hs2DGcTieRkZFERUWRnJwsFfEOHDhAZmYmGRkZMhsGBhoA+CsVHyoVcqj3\nBIGGTUbDhWKov/e973H11VezdOlSTCYTl1566ZSu6mtubub0aU325/LLL6ezsxOTyRTkUY2eqZRH\n3Yc2LmFhhPDSMSAeTdvjMSCwQPF5EohXJm63hTeoP1a8J4w0DGw8Cn0Q3/dbW1tpaWmRhSEiZn32\n7FkiIiJITU3l1KlTJCUlceLECRobGzGbzZhMJuLj41m0aBEHDhyQzWKFwbXZbPT29tLW1kZUVJSX\nx93R0YHRaCQiIgK32y2NucfjwWw2k5KSQltbmyz3bmpqIisrS3rOra2thIWFERMTQ21tLWFhYaSn\npzN9+nQZdxeiVS6Xi4yMDPn7KysrpbHWe9fDKRjq9xP8oXKwh2f27NnMnz8/2MMYF5KSkuTamcoX\nHH+EoqGexoCRfgr4AngPLezxK+ArtPj1saCMbgiEQfDXgkqfF9zc3OzlYYO3B9nc3Exubi6gGT9R\noQcDGSHJyckcP36cpqYm3G43RqMRs9lMfHw8PT09uFwuUlJS6OzslBWConQ8JiaG3t5e+vr6iImJ\nITMzk4qKCjo6OrDZbNJz7uzsJDIyEqvVKo25zWaTXrjdbiclJQW73U5nZye1tbWYTCbsdjvJycm0\nt7czffp0cnNzpdf8/vvvA7B69WqZCSN+v+9GoOj27u8CGUi8Wm0qKi4UQs1Q63Omn0PT8BDVGH1o\nAkw3cx4peKNlrHKZwvsTt90NDQ2DDLqvhy0Q1XzR0dHs3buX2NhYFi9eTHR0NAcOHJAdut1uNx6P\nR4o5LV68mKqqKpxOJyaTicTERCwWi5QSFZkll156KfX19XR0dEivWKT2nT17VqbbdXZ2MmvWLLq7\nu+np6SEzM5Pjx48TFRUlGyMIg56WlkZ8fLz8DStWrJC/pa2tTWZ2fPPNN2zcuJGioiKZFaOfG71x\n9t0YVIZXcbESSoZab6Q3oJWCLwd6zr22DVgInJr8oQ1mqJCIv07l4j3xN2JTrLy8fJButXguRJpa\nW1tl3jUgDardbsdut1NXV8epU6eIiooiJSWFmJgY2tvbqaysxOPxEBsbC2gpcbNnz6axsRG32823\nvvUt2tvb2bFjBx6Ph4yMDMxmM+3t7ZhMJjo6OmhtbaWjo0NeCMLCwpg+fTr19fVUVVWRn59PR0cH\nycnJpKWl0draSmVlJd98843U6Ni7dy8AhYWFMtOloqICh8MxqHUWaBcvMXcqdKFQaISSoRZG+nkg\nC23DsAfNgIv3Q8JID4XvxtVQt+Yi+wMGpDoTEhJobm6WhR4JCQky9OF0OikuLsZut7Nnzx4ACgoK\npPHNzc3lD3/4A7t372bmzJlYLBba2tqIjo7GYrHQ3d0tmxSIOHd6ejqRkZFSoa6mpobjx48zbdo0\nCgsLAa1RrdCMFlkpeXl5pKens3v3bpxOp8w+mTNnDhaLBavVSkZGhsxgaW5ulhke2dnZ8vcWFhYO\nki31NchijsRcTsSm4ETiL/1TofAl0PTPUDLUAOlAJvB3DBjpcWkIMN4Mdxs+XFzVFxGfrqyslNrL\noqmr6K7d0NAg87CLioooKyvDarWSlZVFeXk5y5YtY8mSJSQmJgKaYRPxbLHZZ7FYiIyMJDExkZaW\nFkpLS0lMTKSgoACz2UxzczNHjx6loKAA0HSJ586dS2VlJS6Xi2PHjslwzIIFC0hMTJRGXEiSNZdP\nzQAAELJJREFUJiQkUFtbK3W3YaA0HLw3Cn3nSnjXYo6msjetN9ShRG1trayOHU23+KnIHXfcgcFg\nICMjg5/97GfBHo5ffC/kTzzxxJDHhfL2qD7zYzwJWvqUP+1q8E7d02+0gWa0tm7dKrMl9u7dK4tk\nxGsVFRWyV+Ovf/1rYCB8IjIstm/fzvbt22lqasJkMpGdnS291O3bt3Py5EmvzcuSkhLq6ur41a9+\nRXh4uDTQ9913n8zWSEpKkl1Z8vLyvH6v2CQU+eW+jwF5IRoqVBSKTOX0vHvvvZdPP/2UefPmYTAY\nWLdunde/94XCf/zHf+BwODh9+jQbNmyYUpIDUyk9TxD6SkTD4C+tr6mpaZBREqlpgtTUVFJTU2Uv\nRrvdzsqVKwGtFF1UOApPVWw+WiwWkpKSuPnmmzly5Ij0csvKyqitrZV51yJjIzo6Wr6WkpIitbDF\n57tcLoqKiti3bx/h4eHk5+fL48UFZuHChTQ3N0tP7eqrr/bS4taL/YvilZycnEEesyr9nnj6+/v5\n8Y9/zD333BPsoUwo1113HaCdgxs2bAjyaMaHUDbUU5pASpnFMfp+i4KGhgZpbPUeeFZWlldhiAhN\niLi28FgdDgdOp1MeC1pMW2hDWywWSktLpe5Geno6dXV17Nq1i5SUFEpKSgCtc0ZBQQFFRUUcOXIE\nq9WK3W6Xm54NDQ0kJSWRl5cnQxviQiMQG6kij9p3XpSBViiGRxnqCcJfjHUoz9GfNykMm9hME8cK\noy5CD8XFxQBeG5V63efi4mJKS0upqKjwKkDJz8+X4YqysjIsFgtFRUWkp6dTWFhIZWWlzNpwOBzS\nQxfedFZWlixWKSwslAZ5KHEkX+OtUCgCRxnqCWIooyQMmcgV9me89Gl8+qpHX71r4dXqC2eampqo\nrq6WuiFHjhwhKSkJl8slmxTk5uZK7YympiY2btwI4JUGKC4Cq1ev9gptiGYITqfTq6pSPy7REECo\nDO7cuRPAr9a0nqmW4aFQTAbKUIcw+s03X1JTU2U6nUjdA82gC286NzcXp9NJaWkpGRkZ1NTUAEhv\neevWrcybN08aaJfLRXl5OXPmzPEKUzgcDhmzFkZ43rx5Xhca/YaNXsa1oaEBh8PhFYLRH6+87IlF\nZPgAfP3114NSIxVTA2WoJwG9RxmITKe/8EhlZSXl5eWDvE1Roi287pM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"prompt_number": 121,
"text": [
"<matplotlib.figure.Figure at 0x31847cb0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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d2uQpJSWF+vp62traKC0tVbNCdu7cSWBgIAaDQW0aFRYWpnrRSic+Z+1d7UeQ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\nhDz/H0BMSWN1LgA9AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x31847cb0>"
]
}
],
"prompt_number": 121
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"nwalkers=ntemps"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ptsampler_20=PTSampler(20, 20, ndim, logl, logp)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 115
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p0 = np.random.uniform(low=.0, high=1.0, size=(20, 20, ndim))\n",
"\n",
"starttime=time.time()\n",
"#burn in\n",
"for p, lnprob, lnlike in ptsampler_20.sample(p0, iterations=1000):\n",
" pass\n",
"sampler.reset()\n",
"\n",
"for p, lnprob, lnlike in ptsampler_20.sample(p, lnprob0=lnprob,\n",
" lnlike0=lnlike,\n",
" iterations=10000, thin=10):\n",
" pass\n",
"print time.time() - starttime"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"88.6870000362\n"
]
}
],
"prompt_number": 117
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ptsamples_20_low=ptsampler_20.chain[0,:,1000:,:].reshape((-1, ndim))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 118
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"triangle.corner(ptsamples_20_low, labels=[\"mu1\", \"mu2\"])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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"prompt_number": 122,
"text": [
"<matplotlib.figure.Figure at 0x31ebbfb0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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HsdglAXgfaOnGukREukVH9vpwYhyoi8Xo4S4BumuNaxPwBPAd4HyMsekVwIa2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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x31ebbfb0>"
]
}
],
"prompt_number": 122
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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