{ "metadata": { "name": "", "signature": "sha256:29dae13401f244b0bc5edc288f7fe15f31bbc0c3e5f9619254d26b3f44525601" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Logistic Regression\n", "===================\n", "\n", "\n", "Implementation of logistic regression in pure Python using tools from `scipy.optimize`. This is a companion notebook to the blog post [Numerical optimizers for Logistic Regression](http://fa.bianp.net/blog/2013/numerical-optimizers-for-logistic-regression/)\n", "\n", "### Loss function\n", "\n", "The loss function, using vector notation and abusing of broadcasting is:\n", "\n", "$$\\mathcal{L}(w) = - \\mathbb{1}^T \\log(\\phi(y * X w)) + \\frac{\\alpha}{2} w^T w$$\n", "\n", "where * is the component-wise product (numpy's $*$ operator) and $\\phi(t) = 1 / (1 + \\exp(-t)) $ is the logistic function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import print_function\n", "import numpy as np\n", "from scipy import linalg, optimize\n", "from sklearn import cross_validation, metrics, linear_model\n", "from datetime import datetime\n", "import pytron" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "def phi(t):\n", " # logistic function\n", " idx = t > 0\n", " out = np.empty(t.size, dtype=np.float)\n", " out[idx] = 1. / (1 + np.exp(-t[idx]))\n", " exp_t = np.exp(t[~idx])\n", " out[~idx] = exp_t / (1. + exp_t)\n", " return out\n", "\n", "def loss(w, X, y, alpha):\n", " # loss function to be optimized, it's the logistic loss\n", " z = X.dot(w)\n", " yz = y * z\n", " idx = yz > 0\n", " out = np.zeros_like(yz)\n", " out[idx] = np.log(1 + np.exp(-yz[idx]))\n", " out[~idx] = (-yz[~idx] + np.log(1 + np.exp(yz[~idx])))\n", " out = out.sum() + .5 * alpha * w.dot(w)\n", " return out\n", "\n", "def gradient(w, X, y, alpha):\n", " # gradient of the logistic loss\n", " z = X.dot(w)\n", " z = phi(y * z)\n", " z0 = (z - 1) * y\n", " grad = X.T.dot(z0) + alpha * w\n", " return grad\n", "\n", "def hessian(s, w, X, y, alpha):\n", " z = X.dot(w)\n", " z = phi(y * z)\n", " d = z * (1 - z)\n", " wa = d * X.dot(s)\n", " Hs = X.T.dot(wa)\n", " out = Hs + alpha * s\n", " return out\n", "\n", "def grad_hess(w, X, y, alpha):\n", " # gradient AND hessian of the logistic\n", " z = X.dot(w)\n", " z = phi(y * z)\n", " z0 = (z - 1) * y\n", " grad = X.T.dot(z0) + alpha * w\n", " def Hs(s):\n", " d = z * (1 - z)\n", " wa = d * X.dot(s)\n", " return X.T.dot(wa) + alpha * s\n", "\n", " return grad, Hs" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Benchmarks" ] }, { "cell_type": "code", "collapsed": false, "input": [ "for corr in (0., 1., 10.):\n", " n_samples, n_features = 10 ** 4, 10 ** 3\n", " np.random.seed(0)\n", " X = np.random.randn(n_samples, n_features)\n", " w = np.random.randn(n_features)\n", " y = np.sign(X.dot(w))\n", " X += 0.8 * np.random.randn(n_samples, n_features) # add noise\n", " X+= corr # this makes it correlated by adding a constant term\n", " X = np.hstack((X, np.ones((X.shape[0], 1)))) # add a column of ones for intercept\n", " alpha = 1.\n", "\n", " # conjugate gradient\n", " print('CG')\n", " timings_cg = []\n", " precision_cg = []\n", " w0 = np.zeros(X.shape[1])\n", " start = datetime.now()\n", " def callback(x0):\n", " prec = linalg.norm(gradient(x0, X, y, alpha), np.inf)\n", " precision_cg.append(prec)\n", " timings_cg.append((datetime.now() - start).total_seconds())\n", " callback(w0)\n", " w = optimize.fmin_cg(loss, w0, fprime=gradient, \n", " args=(X, y, alpha), gtol=1e-6, callback=callback, maxiter=200)\n", "\n", " ## truncated newton\n", " print('TNC')\n", " timings_tnc = []\n", " precision_tnc = []\n", " w0 = np.zeros(X.shape[1])\n", " start = datetime.now()\n", " def callback(x0):\n", " prec = linalg.norm(gradient(x0, X, y, alpha), np.inf)\n", " precision_tnc.append(prec)\n", " timings_tnc.append((datetime.now() - start).total_seconds())\n", " callback(w0)\n", " out = optimize.fmin_ncg(loss, w0, fprime=gradient,\n", " args=(X, y, alpha), avextol=1e-10,\n", " callback=callback, maxiter=40)\n", "\n", " # L-BFGS\n", " print('L-BFGS')\n", " timings_lbfgs = []\n", " precision_lbfgs = []\n", " w0 = np.zeros(X.shape[1])\n", " start = datetime.now()\n", " def callback(x0):\n", " prec = linalg.norm(gradient(x0, X, y, alpha), np.inf)\n", " precision_lbfgs.append(prec)\n", " timings_lbfgs.append((datetime.now() - start).total_seconds())\n", " callback(w0)\n", " out = optimize.fmin_l_bfgs_b(loss, w0, fprime=gradient, \n", " args=(X, y, alpha), pgtol=1e-10, maxiter=200, \n", " maxfun=250, factr=1e-30, callback=callback)\n", "\n", " # BFGS\n", " print('BFGS')\n", " timings_bfgs = []\n", " precision_bfgs = []\n", " w0 = np.zeros(X.shape[1])\n", " start = datetime.now()\n", " def callback(x0):\n", " prec = linalg.norm(gradient(x0, X, y, alpha), np.inf)\n", " precision_bfgs.append(prec)\n", " timings_bfgs.append((datetime.now() - start).total_seconds())\n", " callback(w0)\n", " out = optimize.fmin_bfgs(loss, w0, fprime=gradient, \n", " args=(X, y, alpha), gtol=1e-10, maxiter=50, \n", " callback=callback)\n", " \n", " # Trust Region\n", " print('PYTRON')\n", " timings_pytron= []\n", " precision_pytron = []\n", " w0 = np.zeros(X.shape[1])\n", " start = datetime.now()\n", " def callback(x0):\n", " prec = linalg.norm(gradient(x0, X, y, alpha), np.inf)\n", " precision_pytron.append(prec)\n", " timings_pytron.append((datetime.now() - start).total_seconds())\n", " callback(w0)\n", " w = pytron.minimize(loss, grad_hess, w0, args=(X, y, alpha), \n", " gtol=1e-10, tol=1e-20, max_iter=100, callback=callback).x\n", "\n", " import pylab as pl\n", " pl.plot(timings_lbfgs, precision_lbfgs, label='L-BFGS', lw=5, color='green')\n", " pl.scatter(timings_lbfgs, precision_lbfgs, s=100, marker='o', color='green')\n", " pl.plot(timings_bfgs, precision_bfgs, label='BFGS', lw=5, color='red')\n", " pl.scatter(timings_bfgs, precision_bfgs, s=100, marker='o', color='red')\n", " pl.plot(timings_pytron, precision_pytron, label='Trust Region', lw=5, color='cyan')\n", " pl.scatter(timings_pytron, precision_pytron, s=100, marker='o', color='cyan')\n", " pl.plot(timings_cg, precision_cg, label='CG', lw=5, color='magenta')\n", " pl.scatter(timings_cg, precision_cg, s=100, marker='o', color='magenta')\n", " pl.plot(timings_tnc, precision_tnc, label='TNC', lw=5, color='blue')\n", " pl.scatter(timings_tnc, precision_tnc, s=100, marker='o', color='blue')\n", " pl.yscale('log')\n", " pl.ylabel(r'$\\|\\|\\nabla f\\|\\|_\\infty$', fontsize=20)\n", " pl.xlabel('Time (in seconds)', fontsize=20)\n", " fig = matplotlib.pyplot.gcf()\n", " fig.set_size_inches(8.5,6.5)\n", " pl.legend(fontsize=20)\n", " if corr == 0.:\n", " pl.title('Numerical solvers for logistic regression\\n(uncorrelated features)', fontsize=20)\n", " pl.xlim((0, 2))\n", " if corr == 1.:\n", " pl.title('Numerical solvers for logistic regression\\n(correlated features)', fontsize=20)\n", " pl.xlim((0, 5))\n", " if corr == 10.:\n", " pl.title('Numerical solvers for logistic regression\\n(highly correlated features)', fontsize=20)\n", " pl.xlim((0, 5))\n", " pl.ylim((10 ** -5, None))\n", " pl.savefig('comparison_logistic_corr_%s.png' % int(corr))\n", " pl.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "CG\n", "Optimization terminated successfully." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Current function value: 3848.590812\n", " Iterations: 46\n", " Function evaluations: 285\n", " Gradient evaluations: 185\n", "TNC\n", "Optimization terminated successfully." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Current function value: 3848.590812\n", " Iterations: 18\n", " Function evaluations: 21\n", " Gradient evaluations: 90\n", " Hessian evaluations: 0\n", "L-BFGS\n", "BFGS" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Warning: Maximum number of iterations has been exceeded." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Current function value: 3848.928087\n", " Iterations: 50\n", " Function evaluations: 79\n", " Gradient evaluations: 79\n", "PYTRON\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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GODs7Y2VlRZ06dZg4cSKJiYl6aQMDA3XrUwwbNgxVVXXH5cuXdenS09P56quv\naNWqFfb29tjY2NCkSRO+/PLLbF/aCxcu5JlnnsHKyoqqVasyduzYPO/wC/+1iaVLlwLg5eVlVLer\nV68yZswYatSogaWlJRUrViQ4OJjo6GgDmdeuXWPGjBn4+/tTuXJl3TUdOHAgp0+f1ksbGhpKjRo1\nAFi2bJle3fzwww96Oha03RZVO1i2bBl+fn64uLhgZWVF9erV6dSpE2vXrjVI269fPzIzM3X1KpFk\nhxzKkTz1REREoKoq/v7+2abJqcs8u7ivvvqKzZs3ExwcTFBQEEeOHGHNmjWcOHGCmJgYzM3NdWkv\nXrxIUFAQly9fplmzZowaNYrMzEzOnj3LvHnzGDlypG5X2GPHjtG+fXvu379PcHAw9evX5/Tp06xY\nsYLw8HB2795Ns2bNDPSZO3cuERERdO/enXbt2hm8jLOLT0xMpG3btsTExNC0aVNGjBhBZmYmO3bs\nYMCAAZw6dSpP288vXryYTZs2ERgYSMeOHcnMzCQ6OprPPvuM7du3c/ToUWxtbQGNMeLo6Eh4eDg9\nevTAx8dHJ8fBwQHQbDvfrVs3du3ahbe3Ny+99BKWlpbs2bOHsWPHcvToUd2LWsv48eNZsGABVapU\n4bXXXsPU1JTw8HCOHj1KWloaFhYWuZ5H48aNmTZtGps2beLEiRO88cYbVKhQQU+348eP07FjRxIS\nEujUqRMvvvgit2/fZtOmTbRu3ZqffvpJzx9l//79zJkzh7Zt29KkSRNsbW05d+4c69evZ/PmzRw8\neJCGDRsCEBQURFJSEvPnz8fHx4cePXro5GStJyhYuy2qdjB58mTCwsKoUaMG/fr1w8HBgWvXrnHs\n2DHWr19Pnz599Mr19fVFURR27drFlClTcr0OknJM6ewdKJGUDCkpKcLCwkLUrVvXaPySJUuEoijZ\n7s5pbHfjadOmCUVRhIODg/jzzz/14gYMGCAURRFr167VC/f19RWKooiwsDCDMuLi4kRKSooQQojM\nzEzh7e0tVFUVK1eu1Eu3Zs0aoSiK8Pb2FpmZmQb62NraipiYGAP5ucUPGTJEKIoiPvnkE73wlJQU\n0alTJ6Gqql6+7HaevnTpkp5eWr777juhKIqYM2eOXnhuda/Ve9y4cXpyMzIyxIgRI4SiKCI8PFwX\nfvDgQaEoiqhdu7ZISEjQOw9t/We3a7IxtPXy+M7DaWlpombNmsLKykrs379fL+7atWvC3d1duLm5\n6e1CfOtmAu1zAAAgAElEQVTWLXH//n2DMk6cOCFsbW1F586d9cJjY2Nz3OW6MO22qNqBk5OTqFat\nmnj48KGBrDt37hjVy9vbW1haWma7Q7NEIoQQcihH8lRz7do1UlNTqVq1apHLHjduHM8884xe2Cuv\nvAJoej20/Pbbbxw5coTGjRvz7rvvGshxcnLSfckfOnSIs2fP4uvrS//+/fXS9enTh9atW3P27Fmi\noqIM5Lz66qs0atQoW32NxcfFxbFixQqaN2/OxIkT9eIsLCwICwtDCMHKlSuzlaulevXqRr/Shw0b\nhp2dHbt27cpVhpbMzEwWLFiAm5sbn3/+uZ5cVVX59NNPURSFH3/8URe+ZMkSAN5//31dD4f2PGbP\nnp3nsnNj69at/PPPP4wdO5Y2bdroxbm5ufH2229z48YNfvnlF124i4sLNjY2BrIaNmxIUFAQe/fu\nJSMjQxcuitG3pKjagaIomJmZoaqGrxFnZ2ejZVetWpVHjx7JnZYlOSKHciRPNbdv3wY0L/+ixthw\nitYASkhI0IUdOXIEgOeffz5XmcePHwegbdu2RuODgoKIiooiJibG4KXYokWLHGUbiz927BiZmZmA\nxgfhcdLS0gAM/CCMkZaWxqJFi1i9ejV//fUXd+/e1ckG8vUyOnfuHAkJCdSuXZsZM2YYTWNpaamn\n1/Hjx1EUhYCAAIO0/v7+Rl+gBeHw4cOAZkqvsTo7f/48oKmzrMM5W7du5ZtvviE6Opq4uDjS09N1\ncYqicOfOHSpVqlQkOuZEUbWDgQMHsmDBAurXr0+fPn0ICAigVatWuuEuY2gNllu3buV7TRlJ+UEa\nJpKnGu2XdnF8gWb9Ktdiaqq5pbJ+/WodP93d3XOVqR3vz24miDb8cWdSgMqVK+co21h8XFwcoHkx\nZe3lyYqiKDx48CBH2QB9+/Zl06ZN1KxZk5CQEJ2TpxCCefPm8ejRo1xlPK7X+fPnszVMHtdLW3fG\nXu6mpqZFtpGeVrd169Zlm+Zx3ebPn8+bb76Jk5MTHTp0oHr16lhbW6MoCj/99BMnTpzIV/0UhqJq\nB59//jk1atRgyZIlhIWFERYWhqmpKV26dGHu3LnUrFnTQIbW+HlapkFLigdpmEiearQvo/j4eKPx\n2q/orF+vWoy9/AuC1oDJyzRJ7dfmjRs3jMZfv35dL11WcnvYG4vXypkwYQKffvpprvplR3R0NJs2\nbaJDhw5s375dr3dCCMGcOXPyJU+rV8+ePVm/fn2+8ty4ccPgazw9PZ07d+7oHIwLg7aczZs388IL\nL+SaPj09ndDQUNzc3Dh+/LiB4XTw4MF861CYdltU7UBVVcaPH8/48eO5ffs2UVFRrF69mnXr1nHq\n1ClOnTql5wAO/92HLi4ueSpDUj6RPiaSpxp3d3fMzc2zNQocHR0B9KaBajE27bMg+Pr6ArBz585c\ne26aNGkCwN69e43Ga8O16QpLy5YtUVWV/fv3F0qOdhpz9+7dDYZMjh49SkpKikEeExMTQL93SUu9\nevWoUKEChw8fNvryNUbTpk0RQhAZGWkQFxUVpTesVBi01zOvdXbnzh2SkpLw8/MzMEru37+vG4LK\nSk51A0XfbgvbDlxcXAgJCWHNmjUEBQXx999/c+rUKYN0//77r26qtESSHdIwkTzVmJub06JFCy5c\nuGD0S7J58+aoqsrKlSt5+PChLjw+Pp533nmnSHRo0qQJfn5+xMTEGO05iIuL03Xj+/v7U7duXaKi\notiwYYNeuvXr1xMVFUXdunVp3bp1kejm4uLCwIEDiY6OZubMmUZf3n///TexsbE5ytH2UDxuUN26\ndYvRo0cbzaP1N7h06ZJBnImJCWPHjuX69euMGzfOqGFz/fp1PZ+HoUOHAjBr1iw9H5+UlBQmTZqU\no/75ITg4mJo1a/Lll1+yfft2o2kOHz6sa0+urq5YW1sTHR2tNxSSlpbG+PHjdcMoWdEaHsbqBoq+\n3ea3HaSmphrt6UlLSyM+Ph5FUQwWM0xKSuLs2bO0bNnSoCdFIsmKHMqRPPV07NiRqKgoDh48SNeu\nXfXiKleuzMCBA1m+fDk+Pj506dKFu3fvsn37dgICAopsb48VK1YQGBjI5MmT2bBhAwEBAQghOH/+\nPBEREZw9e1Y3zLBs2TI6dOhA3759CQ4Opm7dupw9e5ZNmzZhb29vsHZHYVm4cCHnz5/ngw8+YPny\n5fj7+1OpUiWuXbvG6dOniY6OZvXq1Xh6emYro3nz5vj7+7Nx40b8/f3x9/fn5s2b7NixA29vb6pU\nqWLQW+Tn54e1tTXz5s0jLi5O15swbtw47O3tmTp1KidOnOCbb75hy5YtBAUF4e7uzq1btzh//jyH\nDh3io48+ol69ejp5Y8eOZcGCBTRo0IBevXphZmZGeHg4zs7OuLm5FYmvkampKRs3buT555+na9eu\n+Pn50ahRI6ytrbly5QrHjh3j4sWL3LhxAysrK1RVZdy4cYSFhfHss8/SvXt3UlNT2bt3L4mJibpZ\nOVmxtbWlVatWHDhwgJdeeonatWtjYmJCcHAwzz77bLG02/y0g+TkZNq0aUOtWrVo0qQJHh4epKSk\nEBERwZkzZ3TtNitap+EOHToUvPIl5YNSmqYskZQYV65cEaampmLQoEFG4x89eiTefvttUbVqVWFu\nbi5q164twsLCRHp6utH1IEJDQ4WqqiIyMtJA1sWLF7NdfyIuLk68++67om7dusLS0lI4OjqKxo0b\niylTpojk5GS9tGfPnhWDBg0Sbm5uwszMTFSpUkUMGjRInDt3zkBuTvrkJV4IIVJTU8XChQuFn5+f\ncHBwEBYWFsLDw0O0b99ezJ8/X8TFxenSZreOSXx8vBg1apTw9PQUlpaWolatWuL9998XycnJwtPT\n0+gaIjt27BC+vr7C1tZWKIoiVFU1WDdk+fLlol27dsLJyUmYm5uLqlWrijZt2ojZs2eLq1evGshc\nuHChqFevnrCwsBDu7u5izJgxIikpKVsdsmPo0KFG9dFy69Yt8d5774kGDRoIa2trYWtrK+rUqSN6\n9+4tfvzxR5Genq5Lm56eLj777DNRv359YWVlJdzc3MTgwYPF5cuXsy3nwoULolu3bsLZ2VmoqipU\nVdVbt6Qo262WvLaDtLQ08fHHH4vOnTuL6tWrC0tLS+Hq6ip8fX3FokWLRFpamoHsIUOGCFNTU6PX\nTCLJiiLEU7IZA3DmzBnmz59PXFwczz//PCNGjChtlSRlhJCQEHbv3s2NGzeMrichkUiKj+TkZCpX\nrkxQUBDh4eGlrY6kjPNU+Zh4e3vz9ddfs3r1anbu3Fna6kjKEDNmzODhw4d8+eWXpa2KRFLu+Oqr\nr3jw4EG2U78lkqyUecNk+PDhVKpUiWeffVYvXDt2Xbt2bT2Hwi1bttC1a1ejG7ZJyi/PPvssgwcP\nZu7cuQYb5kkkkuIjOTmZTz/9lEGDBuW4MrFEoqXMD+UcOHAAW1tbBg8ezB9//AFoptDVrVuX3bt3\n4+7uTvPmzVm1apXOCQ40nvOyy1AikUgkkieLMj8rp02bNgZTFX/99Vdq1aqlmyXQr18/wsPDuXXr\nFhs3biQlJcVgy++syFUHJRKJRCIpXgra71HmDRNj/Pvvv1SrVk33u2rVqhw9epSAgACj+2QYo4x3\nFEkKQGhoqNF9PiRPPvLaPp3I6/r0UpgOgDLvY2IM2eMhkUgkEsnTyRNpmLi7u3PlyhXd7ytXrhTL\ntvYSiUQikUhKlifSMGnWrBnnz58nNjaW1NRU1qxZQ/fu3fMlIzQ0lH379hWPgpJSITAwsLRVkBQT\n8to+ncjr+vSxb9++Qg/PlflZOf379ycyMpK4uDhcXV2ZMWMGw4YNY/v27bzxxhtkZGQwYsSIfO2F\noSiK9DGRSCQSiaSYKMx7tswbJsWBoij88+FVFn1tz+5Eax6YCszrXkPt9jGNGyYztsVYGrs1Lm01\nJRKJRCJ5IpGGST5RFAVLMlFR0C61ZYrARAFb3/M86NSMdjWfY13vdViZWZWqrhKJRCKRPGkUxjB5\nIn1MioKU/xkljjapPN/0FqamyTyqFMPdG5cw33uAXy7+Qt/1fUtbTYlEIpFIyhXl1jDxJp0vnK5S\n56EZO39zxdHrLrzWhLRur3L/kDcpd2vxy8VfiLlRNNveSyQSiUQiyZ0ncoG1osCRmbwRH0gmmmnG\n18+7YX5zGqmVp6M0WIrNuY9JadyNhb8u5Nvu35aythKJpLRxcnIiISGhtNWQSEoVR0dH4uPjs43f\nt29foWe8llsfk6oIrj4WblIpg4zRNSBBYHlkBynPP4NvVV8OjThUKnpKJJKyg5zNJ5Hk/T6QPiYF\n4GPTdIOwjJsmqP/sBocrZHitBMDazLqkVZNIJBKJpNxSbg2TB+nJdDESnrm8NjhNJ63mfGxMbejz\nTJ8S100ikUgkkvJKuR3KqYFgF5k0QCXl8QS+GdC/IeZJF4h/Jx4bc5vSUFMikZQh5FCORCKHcoqV\nf4ELPGKKscjDJpC2HStLxxLWSiKRSCSS8k25NUyGWqYzH0smAnWNJZhVnaRnpvHVsa9KWDOJRCKR\nSMov5dYw+SbZlOVb40hxfohR0yMeWD+SD69Fc+/RvRLWTiKRSCSS8km5NUxCp4fyh/WfOIRZ0RYY\naCzR93CvwtfM/v27EtZOIpFIJJInj3Kxu3BxoOeU8xComsnNeJW6QNLjiRuAyfpfuO3RDEdLh5JV\nVCKRlBmk86tEIp1fSwYr4HWVSsBHxuL/hIwt7Rhw5XDJ6iWRSCRlCFVVUdXCvTICAwN1crSHmZkZ\nlStX5oUXXmDHjh05lp3dsWzZMoM8aWlp/PDDD/To0YNq1aphbW2NjY0NNWrUoGfPnnz33XckJycb\n5MvIyGDx4sUEBATg5OSEubk5lSpVolGjRrzyyits2bKlUHUgyR3ZYwKaKTqegox0hVZA9OMZbIA/\nHrHf7RFtLO1LTE+JRFJ2KO89JqqqoigKGRkZBZYRGBjI/v37GTp0KJ6engA8fPiQM2fOsHXrVtLT\n01m0aBGvvPKK0bKnTZtmVG6PHj1o2LCh7veZM2fo1asXp0+fxtHRkbZt2+Ll5YWpqSlXr15l//79\nXL58mYoVK3Lr1i1dvoyMDF544QV27tyJo6MjXbt2pWrVqqSmpvLnn39y4MABmjZtyv79+wtcB086\nJdFjgiiHGD3tfkIIhDiGEApC8PjRU4iK92+KByWurUQiKQuU08elDkVRhKqqhZIREBAgFEURkZGR\nBnEbNmwQiqIIT0/PQpV97do1UaVKFaEoihg/frx48MD4UzsiIkI0btxYL2z58uVCURTRuHFjcffu\nXYM8ycnJYt++fXnS42klr/dBYe4XOZSjZbzmTzNglLH4jXAn0pXRaQ9LUCmJRCIpH3To0AGAO3fu\nFErO+++/z/Xr1xk4cCDz5s3D2tr4tiLt27fn2LFjemGHDmn2RRs6dCh2dnYGeaysrAgICCiUfpLc\nKbe7CxvQCmgJHIWZwHrg5uNpxsDSP60INoMeJa2fRCJ5olCmK6WtAmJa2Rx6Eka6+Hfv3g1As2bN\nCiw3OTmZlStXoihKnmaGmJiY6P2uWLEiAGfPni2wDpLCIw2TrIwHBkAF4DOMTCG+CHwEwz/MpLmi\n4l7S+kkkEslTwNKlS9m7dy8AKSkpnDt3jp9//plnnnmGr7/+2mgeIQTTp083MGq8vLwYMmQIANHR\n0aSmplKtWjVq1qyZb7169uzJnDlz+Oabb7h37x4hISE0adIEDw+PfMuSFBzp/JqVNMATuAYC6AD8\n8ngaM+AkBHlDBGDyeLxEInkqya8z39PWY1KUzq/GcHJy4q233uKtt97C3NzcoOycZO7ZsweAtWvX\n0q9fP1q1aqUblsnK0qVLiY2N1f1WFIUePXrQqFEjXdi6desYP348N27c0IU5OjoSEBDA8OHDeeGF\nF/J0rk8rJeH8KntMsmKGxsFkCijAl0BDIDVrmjRNmr2/wKcKvFvyWkokEkmZJDY2lqVLl+qFGZtN\ns2/fPp577jlAMxPm4sWLzJs3j/fff58dO3awb98+FEUxkFMYowhg2bJlREZG6oV5eXnpGSa9e/cm\nJCSEvXv3cvDgQX7//XeioqLYtGkTmzZtYvDgwQbnKClaZI/J49wGqgGPND+novE5MWAFmA6EQ0Dz\n4lBSIpGUKWSPSe49Jvv27aNt27Z6YVnzaHtMshomWWnTpg0HDx5k5cqV9OvXL19lAxw4cICAgACq\nV6+u1zNijKlTpzJr1iyWLl3K4MGDc0ybmZnJhg0bGD58OA8ePOCnn34iODg4xzxPK7LHpDRwQeNc\n8r3m52RgJfDP4+kmQHpXGFABjgOG/tsSiaQ8U1YdT4uTwMBAMjMzC5y/RYsWHDx4kGPHjukZJnml\nWbNmmJubc+XKFS5cuECtWrWyTZufl6aqqvTu3Zs//viDmTNnsnfv3nJrmJQEcrqwMcb/968VsNBY\nmlvA+3ABGFciSkkkEsnTTUJCAkCBjRsrKysGDBiAEIIZM2YUpWoA2NraAvkzaiT5RxomxmgIBP33\nszPQy1i6r4FjsBRYXQJqSSQSydNKbGwsGzduRFEUAgMDCyxn1qxZVKlShRUrVjBhwgSjy84DJCUZ\n7IzGqlWr2L17t1HD48aNGyxevBjA6DCUpOgot0M5oaGhBAYGZn8DjAf2/vdzHrADeJA1jQBGAkfh\ndRVaKZpJPRKJRPI0IoRg6NChRuMUReGrr77CysoqVzlLlizRzaRJS0vj0qVLbNq0ieTkZLp3716o\nYRI3Nzd++eUXevbsybx581i2bJluSXpVVblx4waHDh3iwoULVKpUCW9vb13eX3/9lfnz51O5cmVa\nt26tWzb/4sWLbN26lZSUFHr06EGvXkY/VSVo/Iz27dtXKBnS+TU7MoDaaNYu+R9zgYnG0i4ERoPD\nn4If7yr4+4EDmpk9Eonk6UDulaMarQNtmKIoJCQkYG+f/X5iQUFB7N+/X0+GoihUqFCBBg0aMGjQ\nIEaMGGEwI6cgU5XT0tJYtWoVGzZs4LfffiMuLg5FUahUqRI+Pj50796dvn376q0Me/XqVTZv3szu\n3bv566+/uH79OikpKVSsWJHGjRszYMAABgwYkGcdnkZKwvlVGiY58Tkw4b+faUBTMvjj8dVL7IGz\nQGVgpkCtquA+VGPEvAZYFI3aEomkFCnvholEAtIwKTbyXGFJgDt64zcHgdbG0g4AfkTT09IBWADW\nz8AzwD7A+G4NEonkSUEaJhJJyRgm0vk1Jyww8MLxB0ZwzzDtSmA3mqVgvwe+hmTgD+D14tVSIpFI\nJJKnBmmY5MRaHlv2VcMc7HDmrmFEf+AMGg/Y/83qSQHWAXHFpKJEIpFIJE8T0jDJibnAQ8NgZ+Bj\nbhhG3EEzjHMZzfzi/83FNwV+Li4dJRKJRCJ5ipA+JjnhAMY6RgAygUD+4gD1DSPrAgdAdcogdNo0\nMiwtaejnR88WLeB/C/RIJJInC+ljIpFI59diI88V5oKmFyQbrvMv/qRyES/DyCbAXnDITORoy5bU\nPXcOVBUaNgQ/P83h6wteXqDIicUSSVlHGiYSiTRMCkR4eDhbt27l7t27jBgxgg4dOhikyXOFDQOW\no5lpkw1/8zWt6cEN3AwjA4HtUPvyOY62bIljYqJhmkqV9A2Vpk3B0jJ33SQSSYkiDROJRBomhSIx\nMZGJEyfy7bffGsTlucL+AFpi1M9ES4aSyg7bXrx07wcScTRMEAyshw57drGtSxdMc1sgyMxMY5z4\n+v5nsFSpkruuEomkWJGGiUQipwvrGD58OJUqVeLZZ5/VC9+xYwfe3t7Url2bOXPm6MXNnDmTMWPG\nFK7gZ4EZ5LgIiYkwx9R1DBkDXkA1MbInQzjwCkS078jETz/Nvcy0NDhyBD7/HHr3Bnd38PCA/v1h\nwQKIjtakkUgkEonkKeSJ6DE5cOAAtra2DB48mD/++AOAjIwM6taty+7du3F3d6d58+asWrUKb29v\n3nvvPTp27Ei7du2Mysu3JbcRmAxcEfAoHTLMDJL07NuTn8ySYeUWyDSMZwLwKSx+5WVe/u67vJdt\nDCsraNHiv14VX1+oWLFwMiUSSY7IHhOJpGR6TJ6ITfzatGlDbGysXtivv/5KrVq1dJss9evXj/Dw\ncHbv3s0vv/zC3bt3uXDhAq+99ppRmaGhobr/c9zMD6Dn/47TCsSawQgB1/UdVuftmMfO0fVI7jkI\nNqwE8Vhn1GeAM4z6v/+jbpMmtPnxR03vR6qRhVJy4+FDiIzUHFrq1NEf/qlfX+NsK5FIJBJJMVMU\nm/dpeSJ6TECzJXa3bt10PSbr169n586dum2oV6xYwdGjR1mwYEGusgr95bMJCDEMntVmFlPaTYFj\nr8PWr43n/Roqvg7HAM9Hj+D33+HQof+O69cLrldW7O2hVav/DJWWLTVhEomkQMgeE4lE9pjkyOO7\nT5YowUAnYId+8MRDE1nqs5QLzb+Bh86wZ6Zh3lFwxxGat4YBX1nQtkUruo5rhemECSAEXL6sb6ic\nOAH52FFTx927sGuX5gDNlOQGDf4b+vHzg1q15FRliUQikZQpnljDxN3dnStXruh+X7lyhapVq5ZM\n4QrwBdAAvSXrLTIs+GL7F3QZ2AXazILkinDkDf28AhgEd7bAF83g+8FgYQYrV0LHjorG0VXr7Arw\n4AEcO6YxUg4f1vyNj8+/zkLAH39ojkWLNGEVK+oP/zRrBtZyu0GJRCKRlB5PrBNCs2bNOH/+PLGx\nsaSmprJmzRq6d+9ecgrUBt42DO58oTPBZ4M1xsvzE1AaLTdMlIbGZ6US3J8IcXHQowf88ouRcmxs\nIDAQJk+GLVvgzh04cwaWLIFXXoFnnil4r8edOxqZkyZBQAA4OEDz5jB+PKxZo+m9kV3XEokEUFXV\n4LC0tMTLy4uhQ4dy5swZgzz79u0zmi/rcfnyZYN88fHxhIWFERgYiKurKxYWFtjb29OgQQOGDx/O\nzz8b3+QjMTGRDz74AB8fH2xtbbG0tKRq1ar4+voyceJEYmJiirxeJEXPE+Fj0r9/fyIjI4mLi8PV\n1ZUZM2YwbNgwtm/fzhtvvEFGRgYjRoxg0qRJeZKnKArTpk3L3ek1N5KBemj2xslCbIVY6o+uz0Oz\nh5BhCms2wDkjRlMFYD8wC1ij6Si5eLEAdkZiIhw9+l+vypEjcM/IDsgFwd1df/incWMwNy8a2RLJ\nE0R59zFRVVX37NSSlJTE0aNHOXToEDY2NkRFRdGoUSNd/L59+2jbti2enp4MHTrUqNzx48fj4OCg\n+71582aGDBlCUlISXl5eBAQE4ObmRmpqKhcuXCAyMpLExERefPFF1q5dq8t37do1/P39uXTpEjVr\n1qR9+/ZUrFiRhIQEoqOjiY6OZvLkycyYMaPoK6cckdt9oHWCnT59esHvF1EOKdLT3iCEwPCYHjBd\nEIrmeNdeoKYITffDY4ebEMQKQVMhbG2F2L+/CHRKTxfixAkhvv5aiMGDhahVy0jBBTwsLITw9xfi\n7beF+OknIW7cKAKFJZKyTzl9XOpQFEWoqmo0buzYsUJRFDF06FC98L179wpFUURQUFCeyti9e7cw\nNTUV1tbW4vvvvzeaJiUlRXz77beib9++euEjRowQiqKIl19+2Wi+GzduiOPHj+dJD0n25PU+KMz9\n8kT0mBQ1RfrlI9A4wu7SD04xTeGZUc/wj9M/moCfv4ToUcZldAO+BIvn4JMJMHZs0aimx61bmp4U\nrVPtsWOQklI0smvU0F9W/9lnwcSkaGRLJGUE2WOi6THJMOKMv2XLFoKDg+natStbtmzRhWt7TAID\nA9mzZ0+O8jMyMqhXrx4XLlxg8eLFjBgxItf0JlmeM/Xr1+fs2bP8/vvvNGzYMJ9nJ8krcuXXJwEF\nWAA8tqaaZbol83fM/y8gYCaYZLO2/RZgB6SuMbp2W9Hg6grdu0NYGOzfD0lJ8OuvMG8e9OkD1aoV\nXPY//8CKFTBqlGaop0IFaN8ePvgAtm+HhISiOw+J5ElBUUr/KCF2794NaHz/Csq+ffu4cOEC1atX\nZ/jw4bmmN3ns46dixYoIITh79myBdZCUDZ7YWTllijrAW0CYfvAL517ghbMv8HPdn8HuOrT4Cg6/\nZVzGmyBiIKIPjEdj7xQr5uYaR1etsyvAlSsaHxXt7J/jxyE9Pf+y79/XePJm9eatX19/BlCdOnIB\nOInkCUMIoec7cPfuXY4dO8ahQ4fo1q0bEydONJrv4sWLeotaagkKCiIgIACAgwcPAhAQEFCg5SD6\n9u1LVFQUL7/8MtHR0XTs2BEfHx+cnZ3zLUtSupRbwyQ0NLTwzq9ZmQK3/u8WrvGuesFfbP+C3TV2\nk2KWAm0+guMvwyMHw/wPgEGw7QB8DLxbNFrlj2rVNEefPprfDx9qVqfVGiqHDsHt2wWT/ddfmkO7\nHL+jo/6S+i1agK2tYb6MDNi6FT77DM6e1Wxy2K0bvPEG1K5dMF0kEkmBmT59ukFY/fr16devHzY2\nNkbzXLp0ycDpVFEUVFXVGSY3btwANEtBGONxw0ZRFN544w2d4+zo0aO5du0an3/+OZ988gmffPIJ\nAB4eHnTo0IExY8bIIZ4SoEhWgC2wd8oTTHGd9o6Pdhh1hJ0WOO0/R9i27+fsXzpD4/izuVg0LCSZ\nmUJcuCDEDz8I8frrQjRqJISqFo1TraoK0bixEKNHC7FihRD//CNEQoIQzZppvIKzpjUzE8LKSoh5\n80q7RiTliHw/N4rK4bwwRxFizPk1OTlZ/Prrr6Jt27ZCURTx/vvv68Xnx/l15MiRQlEUMWnSpBzL\nVxRFd1y6dMkgXWJiolizZo2YMGGCCAwMFFZWVkJRFGFqaioWL16cjzOWGCOv90Fh3rPSMClC7p25\nJ9KVdAPD5KHpQ+E13ksQilAmWwtL+6vC0lIIRTHyLDERgl+FsBVC/FksWhYxSUlCREQIMWOGEJ06\nCfzJsVMAACAASURBVOHgUHQPVXPznA0fa2shNmwo7RqQlBOkYZL9rJzExERha2srzMzMxJUrV3Th\n+TFMpk+fLhRFEYMHD841rb+/v1BV1ahh8jgPHjwQU6dOFYqiCEtLS3Hz5s1c80iypyQMEznIX4TY\nLrYFI5NRLNMtWbBtAQgQ5sl0DZjNZ3Ng4kQjbhYZwEtw/wE0ByoClYF+aPbXKXPY22scXadO1Ti6\nxsfDqVOweDEMGwZ16xZcdmoqZGZmH5+cDK+/Djt2wJ9/apxshSh4eRJJUVL6ZkmJnaqDgwN16tQh\nPT2d48ePF0hG69atAYiMjETkQfe8pAGwtrZmxowZ+Pv78+jRI50vi6TsUm59TIqF3WCSbnyabNfz\nXXnjyBvM851HuM8i5jR/k5rjamJuDrNmPZb4HPAOPPwStPN41qGZvDMCmE8JOMcWFFXVOLrWrw8v\nv6wJi4vTn6r8668ao6IouH0bOnf+77eVFVStqlkYzt3d+P+VK8vpzBJJEZPwv9l3eTUYHicwMJBa\ntWpx4cIFlixZkqeZOfnBzs6uSOVJig9pmBQlOXzcA3wS8QnRVaKJ8ojig78+4EffH5k2TfPB/9tv\njyX+CngB6Pyf6GTgO6Aq8E4Rq16sODtD166aAzQzfU6e1N//Jza2aMp6+BDOn9cc2aGq4Ob2n8GS\nnQEj9w2SSPLEpk2biI2NxdzcHD8/vwLJUFWVb775hk6dOjF27FhUVWXIkCEGM3TS0tJINvJh88kn\nn9C1a1fq169vEBcVFcXevXsxMzPD19e3QPpJSg65wFpR8iqwBMhhhu01u2s0ea0JN21v8vtrv+NT\n2YczZzTLfxisd1YZ+APNeE4WHIBbwFO1MPz16/qzf44ezXkYpySoUCF7o0X7v7Oz3KG5nCAXWNOM\nO0+bNk1XDw8ePOCvv/5i+/btKIrCJ598woQJE3R58rPAmpasS9J7enry3HPPUaVKFVJSUrh27Rq7\nd+8mPj6eRo0aERkZib29PQCNGzfmxIkTeHt707JlS9zc3Hjw4AGnTp1iz549KIrC3LlzeeONN3LR\nQJITJbHAmjRMipJTaBxDsllHTcs+z320H9yejnU6sm3gNgC+WJDJ+HFGXH5CgA3ojd3YAz+i6VB5\nalm/HoYMKbohn+LCwgKqVMnZgHFzk/sLPQVIw0Q1qAMTExNcXV1p0aIFY8aMoV27dnp5IiMjCQoK\nypdhAppN/P7v//6P7du3c/r0aRITE7GysqJq1aq0aNGC3r1706VLF708MTExbN26lT179nDx4kVu\n3LiBEIKqVavSqlUrRo4cWeDeHMl/SMOkmCiyTfyM8TqwHM24Sw7M8Z/Dex3eo65zXfyq+dGokg9v\nTuiJOFzVMPESYOh/P62Bz9F00Dy1pKdD9epw40b2TnymplCvnmZNlH//1RxFtcx+UaIompV3cxo2\ncnfXOBJLyizl3TCRSKBkNvErt4ZJsZ12JvAemmXqVXI0UEL6hrCp3iZUVAQC4fYaTAiDB48twGYH\nnAC8ND9tRSbfKip9i0P/ssSpU9C6tWYl2cdXoLX5f/buPC6q6n3g+OcOm+C+YiKKiWua5h5upKa5\nlkupPzPFzMqvflPLpdQELdMss9JWc2lxKbUvtoi5oS0uue8LKopruaLsDPP74woycy/MADMwDM/7\n9eKlnHvunQPq8HjOc55THNq3h/BwNUABNYC5ceN+kHLxIly4oP39jRv5/7XYomRJ63kvlSpJxdwC\nIoGJEDJj4jD58gZzE1gORAHXUNdeLFImbnvdptmIZkSVj7rfeLQvfL9K+7zWwFbADTxNafyjGNCp\nH+t6YmLgnXdg6VL1c6NR/SE9cSIMG5a73TUJCXDpkn7Qkv77y5fV13I27u7q0lB2eS9VqkCxYo55\n/bQ0NQfoyhV1pqpt2yKzTCWBiRASmDhMgbzBzAJe1zYf9D1Iq+GtSPDIlJjy4xI4METb+R1gEjRO\nSWCfh7eDBuqkkpPVE5K9vKBCBccnnBqN6utlDlj0Api4OMeOI7fKl7eeuFumjO3fR5MJPvsMwsLU\nvJ/0+xQFxo6FKVNcfgu2BCZCSGDiMAXxBhN1LYrjbY/T47g2ZfXrRl8z5Kkh9xNcE0vBZwfgVoB5\nRw9gJ5RtbOKUoiBHUxUwkwliY7UBi+Xn//xT0CPV5+1tPe+lcmV1lmb8ePjkE/1kZB8feOIJ+OEH\nl15mksBECAlMHKYg3mDWR61nxDcj2PzxZmrerKm5/mKPF/mi2Rf3G861hSWRYFmctx6wB0Z7w0cO\nHbGwm6QkdWkouwDm0iV1VsjZGAxQrpyal5Pd9m0vL7WUcefOaiCT+cPDw7Y2Nzen3notgYkQEpg4\nTEG8wWw7t42ey3tS41wNti/cjneq+VJMklsSbYa1Ybff7vuNG2bBnzrnDL8CbvPUEif1HDtskV/S\n0uDaNeuJu7dvF/RIHSu3QU0+tCmDB0tgIoo8CUwcpCACk8TURCrOqcjd5LsM2T+EJf9boulzucRl\nFrZcSIVyFRhXZxyJpMHCnXClsfaBv0G3x+EXxw9dOJO7d82DF70AJrst1iLXFHJfbl0IV6EoCqbw\ncOv9nnxSApOcKKgp2XHrx/Hp7k9JTE3k858+Z8QebSWSNNJQ3BR6D+hNeK1w+Och+GI3pFrssqgC\nHIKIctAlf4YvCovUVDU4yWrXUfrnzljzxYlJYCLEvZ+ftvQj9/9eJDDJRwkpCbRd3JYj/x7BlGji\nz6/+pOnlprp9Z7SbwZsd3lQ/2T4G1n+g7fQM1FsBBxU59EjkkMmknsZsLXH3+vWCHqnTkMBECAlM\nHKYgk9gSUhKYsW0Gn/z9Cf7X/dn//n7cTNptlruq7KLliJbqJyYFvt4AZztq+vEtLBgEIx08blFE\nJSTAp5+q24ETsjlrwWCA6tXVHT2pqfc/UlLMP8+uraDPRrJCAhMhJDBxGGfIrk82JnN6w2lqP1kb\nt2RtYGLCxOJHFvNe0Hscq3gMbleFTw9CYlnzjqWhzEE4Ww3K5NPYRRGTnAzNmsGJE/o7h9zcwNcX\nDh1Sd/DkVlqaWj8mN0FNPrQpy5YV+PuGEAVNAhMHcYbABIBPgNeweujfz7V/Zk7QHLbFVoE1y7Ud\ngqHeeOj9JwweDHXrOmCsomi7eRN69YK9e9Xtz0ajurW3eHF1lmT9evVsIxfmNO8bQhQgRVEw9eyZ\nfSeTCeXnnyUwyQmneYP5BHgVsDEHcZffLl6vUI3NByprL84Gt6/A47xaJfyHH6B0kahZL/LV3r2w\naBGcP6+e2/Pcc+pfOCeuP2IvTvO+IUQBku3CDuLQ04VzYhfQAchBVfObwMMKXLD8U/MEZgNjwcsT\n6tWHnTuLzDEmQjicBCaioAQEBKAoCmfPni3ooeTL6cKuWz/aitDQ0IINSgCaA345u6UssETvzzoZ\nWAS0g6RkOHUKVq7M8wiFEAIAg8GQo4+l6Qdv5rPIyEgMBgNhYWE5vjcgIMDsa3Bzc6NMmTI8+uij\nfPjhh6RannKeTxRFQSkks5LBwcGEhobm6Rmyy7QgKcASoBOgcwRJqpKKu0n7R9QRGAtoNhAfAgYB\nBvVsuTlz1JwTIYTIq2nTppn9cDSZTMybN4/bt28zZswYypQxT79/5JFH8nuIZvLygzz96zEajZw7\nd441a9YwduxYNm7cyE8//WTHUdpm8+bN+f6aBanILuU41Zf9BzAQuIUaoJiAEmDyNDG843BG/j5S\nU+8kEWgGHNF7XjAQqR5fIjW0hLAPp3vfcAIBAQHExMRw9uxZqjlJ8nNkZCQdOnRg2rRpTJs2LUf3\nZvX1nD59msaNGxMXF8fmzZsLfra9AOVHjkmRXcpxKm2A80A4MB0IA74D5arC+R7naTaiGR2GdGBd\n4LqMW4qpXfDQeZz7n4C3Sx/0KoRwYsHBwRgMBlJSUpg+fTp16tShWLFihISEAOpSusFgYNu2bZp7\no6OjMRgMGX3TXb16lddee406depQokQJypYtS926dQkJCcnIvRg6dCgdOnQAICwszGxZRu+1bFWz\nZk3atWsHwJ49ezTXjx8/ztChQ/H398fLy4vKlSszaNAgTp48qfu8kydP0rdvX8qWLUuJEiVo3bo1\nv/76K0uWLNFdBgsICKBGjRqa5yQlJTFr1iwaNmxI8eLFKV26NO3ateOHH37Q9M38fY2OjmbAgAFU\nqFABb29vmjdvzi+/OM8BJ7KU4ywU1ETYDubNTR5owsYzG9lSYwtbamyhwdUGTAn/ij6XWtAImIW6\nsSez1BSoDDRvkh8DF0LocYaMgIKe3+nTpw+7d++mW7du9OnTh0qVKtl8b+almPj4eFq3bs2ZM2fo\n3LkzT947hyU6Opq1a9fy9NNPU6NGDXr37o2iKCxdulSzuaF69ep2+Zq8vLzMPo+IiKBPnz4YjUZ6\n9uxJYGAgMTExrFmzhl9++YUtW7aYLWsdP36coKAgbt26RY8ePXj44Yc5ffo0vXv3plu3bpqvXe/7\nAZCcnEyXLl3Ytm0b9erVY9SoUcTFxbFq1Sr69+/P/v37efvttzXPOXfuHC1btqRmzZoMGTKE69ev\ns3LlSp588kk2btzoHLNBpiKoMH3ZKw+vNBGK2UfdkLamWphMczCZEjGZ+mMyofPRxd1kSv2xoL8C\nIVxDTt83cIIPR6tevbrJYDCYzp07Z9bevn17k6IopkaNGpmuX7+uuW/atGkmRVFMW7du1Vw7e/as\nSVEUU0hISEbb2rVrTYqimMaNG6fpn5KSYrpz507G51u2bDEpimIKCwvL9dcTHR1t1n78+HGTj4+P\nyWAwmA4ePJjRfuPGDVOZMmVMFStWNB07dszsnsOHD5tKlChhatKkiVl7hw4dTIqimD777DOz9nXr\n1pkURTEpimJaunSpZlw1atQwa5s5c6ZJURRT9+7dTUajMaP9n3/+MQUEBJgURTH99ddfGe3p31dF\nUUzTp083e9b69etNiqKYunXrZu1bZPO/g7z8nJXJfifX5AHttMeFyvuoo6QxDXgUGO8GDXTuXZ8K\nYb2Bl1C3JP8DrERNuP2Dgv/vlBDCpc2YMYNyeakGbKFYsWKaNnd3d0qUKGG31zDdS+oNDQ1l6tSp\nDBkyhKZNm5KUlERYWBgNGzbM6Pv1119z+/ZtwsLCqGtR2fKhhx5i+PDh7Nu3j2PHjgEQExPDli1b\nqFWrFi+++KJZ/yeeeIJOnTrZPM5FixZhMBiYO3cuhkzr9hUrVmTq1KkALFy4UHNfQEAAU6ZMMWvr\n3Lkz/v7+/P333za/viPJUo6Te7Dsg5TyKkVsUmxG212vu8yuEsXSi7VZAHQ3wssPQ8xBuG1x/wyg\n6efw5HeoW4q9uB+QlAE+BPo4/usQQhQtiqLQokULuzwrODgYPz8/Zs2axd69e+natStt2rShcePG\nZj+U7eXDDz/UtM2ePZvx48ebtW3fvh2A/fv3626RTc8xOX78OPXq1WP//v0APProo7qv27p1azZu\n3Gh1fHfu3OH06dNUrVqV2rVra66n59mkv15mjRs31l0q8vf3Z+fOnVZfOz9IYOLkDIqBRyo/wtZz\nW83aD07by+zPajNtH2wALt6GhhPhj9naZwwG/r4LdUANTtLdvXfxFjDMQV+AEKLI8vX1tctzSpYs\nyY4dO5g2bRpr165l/fr1AFSoUIGRI0cyZcoU3N3t8+MsvZBZtWrVSE5OZt++fbz00ktMmjSJKlWq\nMGjQoIy+1++dvv3ll19m+7y7d+8CcPu2+l/HrL4vtn6/0p/zwAMP6F6vXFmtDn7r1i3NNctt3enc\n3d1Jc5KDNF1uKefs2bMMHz6cp59+uqCHYjd6yzl7AvbAHvAxwpNGGBkNw2ZB8de0998Bet/7VSMe\n+A9wzZ4jFkKYnODDWaXPcugVLNP7YQrg5+fHwoUL+eeffzh8+DAfffQR5cuXZ/r06UyfPt0h4/T0\n9KRly5asW7eOkiVL8vLLL3PlypWM66Xvnftx8OBB0tLSdD+MRiOD7xWUKlWqFKDuMNKTVbul9NfN\nPJbMLl++bNavsHG5wKRGjRq662qFmV5gsvfyXvU3Chnp/0OAWrOBHtpnHANCyOLNSgFc61smhHBi\nZcuqp6SfP39ec2337t1W769fvz6jRo1iw4YNAISHh2dcc3NTT2s3Go32GCqgzkC88cYb3L17lzff\nfDOjPX1JxtatyOm7c7Zv365b4+OPP/6w6TklS5akZs2aXLhwgaioKM31LVu2ANCkSeHcmlkoApNh\nw4bh6+trlnQE6jatunXrUqtWLWbP1lnDcBFZBSaWf7ENwDwD8A1QS/uc1cC7ei+QADjPFnYhhItr\n2bIlAIsXLzYLIGJiYnRnP44ePao7m5A+Y+Dj45PRVr58eUDdFmtPo0ePxtfXlyVLlmQEAyEhIZQp\nU4awsDDdxNG0tDQiIyMzPvf39yc4OJhTp07x+eefm/WNiIhg06ZNNo9n2LBhmEwmxo8fb7YEc+3a\nNWbMmIGiKAwbVjjX6AtFjklISAijR4/mueeey2gzGo2MGjWKjRs34ufnR/PmzenVqxf16tUrwJE6\nRp3ydfB29yYhNSGj7VbiLaJvRVOjrHnRnfZAnzKwZg3QCs0BgW8ATYDHLV8kxe7DFkIUAXr/88+u\nHaBFixa0a9eObdu20aJFCx577DGuXr3Kzz//TJcuXfj+++/N+v/222+MHz+eoKAgatWqRaVKlbhw\n4QLh4eG4ubmZJaXWrVsXPz8/VqxYgYeHB9WqVUNRFJ577jmbqtNmNW5vb28mTZrE2LFjefPNN1m2\nbBnlypVj1apV9O7dm1atWtGxY0fq16+PoijExMSwfft2bt68SXz8/TNHFixYQOvWrRk5ciS//vor\nDRs25MyZM6xZs4Ynn3yS8PBwmxJ6X3vtNdatW0d4eDiNGjWia9euxMfH88MPP3Dt2jUmTJhAUFCQ\n1efY8rXnt0IRmLRt25bo6Giztl27dhEYGEhAQAAAAwYMIDw8HF9fX9544w3279/P7NmzmThxou4z\nM2dQF/gpw1a4GdxoXLkx2y9sN2vfe3mvJjABdVbk5waQvAjob34tDRgA7AECMl+IRU2MldOIhRA2\nyupwOVsOnQsPD2f8+PGEh4czf/58ateuzZw5c3j88cc1gckTTzxBTEwM27ZtY+3atcTGxlKlShW6\ndOnCuHHjaNWqVUZfg8HAjz/+yKRJk/jhhx+4c0fNrmvXrp3VwMTauF966SXmzJnD999/zxtvvEGD\nBg3o0KEDBw8e5L333mP9+vX8/vvveHl5UaVKFTp16kTfvn3NnlGvXj22b9/OG2+8webNm9m8eTON\nGjXif//7H0eOHCE8PDwjFyXzuCx5eHiwYcMG5s6dy7Jly5g/fz4eHh40atSIjz76iP79+2vuycvX\nbk36qcL2UGjOyomOjqZnz54cOnQIgFWrVrF+/fqMbOhvv/2WnTt38vHHH1t9VmE882LUr6NY8PcC\ns7Y32r7B2x20lf0AJnJv2WYCMEd7/RHgXuX6+zoBq4DCmS8lhEMVxvcNUbgMGjSI5cuXc+LECWrV\n0lmPdwJyVk42CssR0PbS9IGmmraMBFgdk4GKADNRjyO2sA94EYtk2I2o5/bE5H6cQgghsmYymXR3\n02zatImVK1fy0EMPOW1Qkl8KxVKOHj8/P2Ji7v8EjYmJoWrVqgU4IsfS3TJ8aQ8mk0k3SCsFvAmM\ndgdWAE1RDwrM5BugBTAqc+Nh1NyUX4DG9hi5EEKIdElJSfj7+9OhQwfq1KmDu7s7R44cYcOGDRQr\nVowFCxZYf4iLK7QzJs2aNePUqVNER0eTnJzMypUr6dWrl833h4aG2m09LD/Ur1gfTzfzBJB/4//l\n4p2LWd6Txr2dxBWANahVXy2MRa1Ob+YS0BroCviiVoh9GLWUfYJlZyGEELby9PTk5Zdf5uLFi3z9\n9dfMnz+fw4cP079/f7Zv355xinFhFRkZqVsFNycKRY7JwIED2bp1K9evX6dSpUpMnz6dkJAQ1q1b\nx5gxYzAajTz//PO8/vrrNj2vsK4VN/+yObsvme/xDx8QTq86+gFZAGC2YW4JajETC74K7DVBFWsD\nKIEaqPwO6BccFMJlFdb3DSHsKT9yTApFYGJvhfUN5sWfX+SLPV+YtY0PGs+7j2urkyQBPqizJmb+\nA3yiffajHhCZYsOmHHfUGimHKcTzbULkXGF93xDCniT5VZipXU57WNP729+n94renL5x2qw9yz/Y\nDwCdre3bU2BMWRsGkYqaHLvBhr5CCCFEDsmMSSHxT9w/NPy0If/E/aO5ZlAMlPQsyV/P/0X9ivUz\n2msB2mLFqDkkTQGdYxYWKRBiy7fmSeB/Ng1dCJdQGN83hLA3mTERGYb+byg34m/oXkszpRGbFEuv\n5b3M/iJMBIrr3VAFtV6Jzp6sESbQHvit44ItnYQQQoicKbKBSWHalXMh9gJboreQatKexJnOhImr\nd6/yx/n7e2yeAxphUUQtXWtgnrY5FRgDjNdeMmfLso8QQogipcjsyrG3wjYlu2T/Ekb9Ooq4lLhs\n+ykojG89ntmd7h9omAC8BHwPGLE4EscEpUIgdqn+8yYDb+ld8ETd4TPQ1q9AiMKvsL1vCOEIspQj\nAEhISSDNpNlfo2HCRFyyefDiDSxFXXmZYXmDArGfgnsWJehnAroHkCcD1s/CEkIIIXJMApNCILBc\nIO4G60V6fTx8qFdB/3Tl8qg5J8GWF7zBNFn/eSagN2ocojECdU+yEEIIYUcSmBQCHWp0wNtDN1PE\nTJopjUEPD8q2j059NYwvolsVFtSZluf1LhwFplsdkhBCCJEjEpgUAm4GNz7o8gE+Hj7Z9hvVfBRl\nipXJtk9foKRlYyng6azv+RZYrXdhNlms9QghhBC5I4FJIfF/Df+P9x5/j2LuxSjmVky3T2C5QKvP\nKQ48o3dBbyolk0EKXHWzaDQCQ5ElHSGKmOPHjzN69GgaNGhA6dKl8fLyws/Pjx49erBo0SKSk7UL\nwCdPnmTcuHE0adKEcuXK4enpSfny5WnVqhXjx49n796sT0sXRYvsyilk/on7hy/3fMmCvxdw+e5l\ns2st/VqyY/gOq8/4C3W3sEYNIDrr+4L8YVMMaMKiLLfvCOE6CvP7hj1Nnz6dsLAwTCYTQUFBNGvW\njJIlS3LlyhW2bdvGqVOnaNq0KX///XfGPWFhYUyfPh2TyUTTpk1p0aIF5cqV486dOxw4cIDt27eT\nnJzM/PnzGTlyZAF+dcKa/NiVYz2j0kWFhoYSHBxMcHBwQQ8lRyoVr8TkdpPpWqsrTb9oanZt58Wd\nHPnnCA9VeijbZzwK1AFOWLS7PQ/GqVnf91cMDC0Dy25ZTLXNQs2Sbap/nxDCNcycOZPQ0FCqVavG\nDz/8QPPmzTV91q9fz5w5czI+DwsLIywsjGrVqrF8+XIeffRRzT3//vsv8+bNIzY21qHjF44XGRmZ\n5xphMmNSiD3y+SPsv7LfrG1sq7HM7TLX6r2zAMuzmEvdAGMAuCmQlgZ37+rf+7oCMy2/fQ2APdhw\nCqAQhZOrvG/kVnR0NLVr18ZgMLB3717q16+fZd/k5GQ8PT05c+YMderUwd3dnb1791Kvnv6uwXRG\noxE3N8s1Y+FMpI6JyNawxsM0bd8c/IZko+4GXzPPof3Djy0HP1yDTZtgwwZYuxY8PLT3vmOCrywb\nDyPLOUJkpjjBhx0tXryY1NRU+vbtm21QAuDp6Zlxj9FopF+/flaDEkCCEgFIYFKoDXp4EF5u5vt8\nr8Vf46cTP1m9twrQRaf9O09o1gxatYKePWHRIv37XwI2WjbOBCR/TQiX9Mcf6nEXHTt2tPmeP//8\nE4AOHTo4ZEzCNRXZHBNXUM67HL3r9WbF4RVm7Yv2L6Jv/b5W7x8GrLNoWw0sANKLwT77LJw5A9Om\nmfdLRd16/BeQkdFiRE1gKQ/UBMYBPZG/ZUK4gMuX1WT7qlWr2nzPlSvqEeZ+fn6aa9HR0SxZssSs\nrWzZsrzyyiu5H6RwCfIjo5Ab1niYJjCJiIrgYuxF/Epp3wwy6wmUAzKfWZwIrEQt7Jpu6lSIioJv\nvjG/PxboDuwAKqc3JgOX733sR93pswU1WBFCiHuio6OZPt28SmP16tUlMBGylFPYdXywI9VKmx9c\nk2ZKY8n+JVbv9QL06sRart4oCnz5JbRvr+17DugFxOu9wF3gONAZtb69EKLQeuCBBwC4cOGCzfdU\nrqz+l+XixYuaa8HBwaSlpZGWlkZKinq8qKLYOTFGFEoSmBRyBsVASGNtdbRF+xfZdPCfXl21ncAx\nizYvL1izBurU0fb/G3gWdSUn3e3036QAJ4GtVocihGsxOcGHHbVt2xaATZs22XxPmzZtbLqnKO92\nEloSmLiAkMYhKBYp+GdunmH10dVW/8E/AjTWaV+s01auHPzyC1SooL32I+ohgelKAwfSP4lDTVwR\nQhRaISEheHh4sHr1ao4ds/yvi7n0yq9Dhw7F3d2dVatWcfz48fwYpnABEpi4gOplqtPpwU6a9oGr\nB+L/gT8f7viQFGNKlvfrzZp8jTrZYalmTQgPB0+deiXvA59m+rwRcAnU/7lFZz1+IYTzq169OqGh\noSQnJ9O9e3f27Nmj22/dunU88cQTADz44INMmTKF5ORkunbtyvbt23XvuXXrlsPGLQofKbDmIub8\nOYcJGyfoXvPx8KFFlRasH7weTzdtRHENdfuwZSCyFjVBVk+nTmq9E0sG4Cegm+WFDoDtM8BCOB1X\nfN/IjRkzZhAWFkZaWhpBQUE0bdqUEiVKcPXqVbZt20ZUVBTNmzdn586dGfeEhYUxY8YM0tLSaNq0\nKc2bN6dcuXLcunWL6OhoNm7cSEpKCoMHD9bs1BHOJT8KrElg4gKMaUb8P/DXnJ2Tmbe7N6+0fIV3\nOr2je70f2hOEewNrsnhe+fJw44b+NR9gM9Ayc2M34GfsXvRJiPziau8beXH8+HE++eQTtmzZ3+0Q\n0wAAIABJREFUwvnz50lMTKRChQo0btyYfv368eyzz+JhUZ3x5MmTfPbZZ2zZsoXo6Gji4uIoVaoU\nNWvWpE2bNgwePJjGjfUWloUzkcDEQVztDeanEz8xaM0g7iTfybZfSc+S/Dv+X7zcvTTXfgF6WLS5\noy7FVNR5lo8PJCRk/VrlgT+Aupkb3wTCsh2iEE7L1d43hMgNKUnvQKGhoXk+aMhZLDu8zGpQAupf\nlL9i/tK91gV4wKItFfgui2dVrpzFhXuu33um2SbB6ajVYYUQQrikyMhIQkND8/SMIh2YFLaThbNy\nM+GmTf0UlCwDGHfU83MsLUJ/1+GoUeqsSXbOA08AZqObDFg/Y1AIIUQhFBwcLIGJgFrlauGmWD/8\nKjUtFf9S/lle19udcwj942+GDYMSJdTia9k5jFqAzWzV51Vk+7AQQghdEpi4gBFNR+jutrHkW8KX\nxpWzTi6rg3rUjSW9miZlysDvv4OvrxqgZOcPYADq0lCGUahHFCeiJrJYX4kSQghRBEhg4gIa+jak\nXfV2FHMvlm2/6cHTrZZ8HqbTtgw1frBUu7Z6wN+CBdCiBVSrprZ5aXNrWQu8jMWy0HCgBBCImi3b\nFvgt2+EJIYRwcRKYuIjVz6ymRZUWlPDIevoiNinW6nOeAbwt2m6iBhZ6vL3huedg5044dw5OnICf\nfwaLnYIALASmWjYaUdd5UlCnVnoDM6wOUwghhIuSwMRFFPcszpahW1jTfw1danahuEdxTZ8Pdnxg\n9fycUqg1TSzpLedkpVMn+PZb/fyTt4GPs7s5HpgFbMjBCwohhHAZUsfERR28epBGnzXStK8dsJae\ndbKq56raglqoNTMFdZdN1RyM4eOP4b//1bYrwHKgf3Y3t0MO/hNOpSi8bwhhjdQxEbn2sO/Duufn\nzN1hfa9ueyDAos2Een5OToweDZMna9tNwGBgY3Y3/4U6eyKEEKJIkcDEhY1rNU7TFhkdyd7LehuA\n7zOgv3V4MTk/SX3GDHj+eW17Cmo6SZYjcQfu5vDFhBBCFHouFZjExcUxZMgQRowYwbJlywp6OAWu\nS2AX6lWop2n/YMcHVu8dgvZYmyjgzxyOQVHgs8+gVy/ttbtA13vP1UgDyuTwxYQQQhR6LhWYrFmz\nhmeeeYYvvviCtWuz2kdSdBgUA2NbjdW0rzi8gouxF3XuuK862jwTyFkSbDp3d1ixAtq00V77B7V0\n/RXLC48D1kuzCCGEcDFOH5gMGzYMX19fGjZsaNYeERFB3bp1qVWrFrNnzwbg4sWL+PurlU3d3KxX\nQi0Knn34WSr4VDBrS01LZeLGiZy9eTbbe/WWc1aSuxUWb29YuxYe0k7gcAZ15sRsM/M51PUeIYQQ\nRYrTByYhISFERESYtRmNRkaNGkVERARHjx5l+fLlHDt2jKpVqxITEwNAWlr222KLCm8Pb0Y2H6lp\n/+7Qd9RfUJ+mXzRl4xn9NNTeqNuHM4sDVuVyLGXLwvoNUK2K9tp+4CkgKb3hMOreYiGEEEWK0wcm\nbdu2pWzZsmZtu3btIjAwkICAADw8PBgwYADh4eH06dOH1atXM3LkSHrpJTVkEhoamvHhKqcMZ+Wl\npi9hULR/1InGRPZe3kuv5b34+oB2z40PMFDneblZzknn5wfrN0G5ctprW4BnUWuuAZjeAnbl4cWE\nEHZjMBhy9PH11+p7ytChQzPa1q1bp/vs0NBQDAYDX331le71uLg45s2bR4cOHahUqRJeXl6ULVuW\nli1bMmXKFM6ezX72Vzhe+qnC6R954W6fIeWvzEs2AFWrVmXnzp34+PiwaNEim56R129cYfLLqV9Q\nNKms9yWkJvDSzy8RHBBMtdLVzK6FAJ9b9N8GnAZq5nI8devCr79Chw4Qb7EleBXwCmoRNsUI59vD\nse+gS59cvpgQwi6mTZtmdqSFyWRi3rx53L59mzFjxlCmjHm2euPG2nO5JkyYQJcuXTAY9P9PrHdk\nxo4dO+jXrx+XLl3C39+fHj16UKVKFeLj49m3bx9z5sxhzpw57Nixg0ceeSSPX6XIreDgYIKDgzM+\nDwsLy/WzCmVgYu28F3GfyWRi1h+zMJqM2fZLM6Xx6d+f8k6nd8zaWwD1gGMW/ZeQt8rxLVvCqlXQ\nsycYLYa2AKgMTAGqJcK6/jB5ArwtSztCFJhp06Zp2hYvXkxsbCxjxoyhWrVqOnfdFxgYyJEjR1i0\naBHDhw+36TWPHz9Oly5diI+PZ/bs2bz66quaoCYmJoaJEydy546cBOoqnH4pR4+fn19GLgmofzGr\nVs1JTdKi48rdK1yIvWC1X5IxiVVHtdkjCvpJsEu4v+SSW127QlYTXFOBL+79/sVUOPw+/PRTHl9Q\nCFFgpk6dio+PD2+++SbxllOlWRg9ejR37txh4sSJjB8/Xnemxd/fn2XLltGqVSt7D1kUkEIZmDRr\n1oxTp04RHR1NcnIyK1eutJpTUlQlpibibrBtYizRqHeGsFql1XKP0wVgU55GpnruOXjiCf1rLwM/\n3vv9p0nwofY/bEI4LUUp+A9nUqVKFV599VWuXLnCu+++a7X/2bNn2bRpE97e3kyYMMFqf09PqS/g\nKpw+MBk4cCBBQUGcPHkSf39/Fi9ejLu7O/Pnz6dLly7Ur1+f/v37U6+ezj7UbBSFpFcA3xK+Vpdx\n0gWWDdRtrwx002nPSxJsZlnlraWhJt9uBaoAL++HG9ft9KJCiHylKAoTJkzA19eX999/nytXNNWL\nzPzxxx8ANG3alFKlLPcHCmeVngSbF04fmCxfvpxLly6RlJRETEwMISHqwkLXrl05ceIEUVFRvP76\n6zl+bmhoqFmijqvy8fDh6fpP46ZkX9elmHsxxj6qLcaWTm8550fgZt6GB0BsbNbXkoBewAGgrwmM\nOT2wRwjhNIoXL05YWBhxcXFMnTo1276XL18GkGX6QiY4ONj1AxORd2+2fxNvD+9s+7gpbnQL1JsX\nUXUHKli0JaGeEpxXDzyQ/fVY4AnUQmwVxgM1gOaoWbKS7yZEoTJ8+HDq16/PkiVLOHLkSEEPRzgh\nCUyKgMBygWx6bhNli5WlhGcJ3T5xKXH8fv73LJ/hiVpjxJI9lnNGj4YS+sPKcAW1dP0/RiAa2A1M\nBPzJ+QE+QogCYzAYePfddzEajYwfPz7LflWqqJUYL17M/vgM4XokMCkiWvi14NKrl/ik2yd0COiA\nt7t2BiVsa/b7zofptO1G3UFzKQ9j698fSpWCLEobZIjConR9HHAbdTpF9yRAIQqOyVTwH86qW7du\nPPbYY0RERLBpk34afZt7h2vt3r2b2OzWe4XLKbKBSVFJfs2smHsxBjcazKYhm1j8pHauY+u5rWyN\n3prl/Q2Bpjrts4AHgb7kbmXF2xu2bQNfX+szJ/tQS+UnZW5MAGbm4oWFEAXm/fffR1EUXnvtNUw6\nUVRAQACdOnUiISGBOXPmWH1ecnKyI4YpcqhIJL86SlFJfs1Kv/r9qFdBu5Mpu1mTrP4DlooaKPwC\ntEGNE3KqZk04dQo++AAaNIAKFdTck2I6Wx43Y166HiNqsou8LwlRaDRu3Jhnn32WAwcOsHy5frba\nRx99RKlSpXjnnXeYO3cuRstqjMD58+fp378/27dvd/SQhQ0k+VXkmpvBjanttFnxW6K38Ps5/VyT\nrWgrwGaWBJwCPs3lmIoXh+HD4dAh+PdfuHQJNpcCvbTdVcBoMgVLCiBbiYXId3qzHbZ6++23KVas\nGFFR+muxdevWZf369TzwwAO89tprPPjgg4SEhDB58mTGjBnDY489RmBgIGvXrtWUxBeFlwQmRdgz\nDz1D3Qp1Ne1ZzZq8h/XZkATgfbKeXcmpR0urQYjeZudPgenpn6QCxe30okIImyiKYvWIkOz6VK1a\nlTFjxmT009OyZUuOHz/O3LlzqVmzJr/++itz5sxh6dKl3L17l/Hjx3P8+HEaNWqUty9GOA3FlJdw\nt5BSFCVPUb4r+e7gdzz7o3a/jW9xXzrW6MirQa/S5IEmgLpd2JZJCU/gKmCX/7+MBz6Cb5LhuSy6\nfAK8XAc4bo8XFEKfvG8IYfu/g7z8e5HApIgzphmp/0l9Tl4/qblmUAwUcy/GoIaD+KzHZ1RSDPkf\nmJxDPUUwQZ2JeU2niwJ8UwxuTYDEUtCqFQQFOV9JblG4yfuGEPkTmMhSThHnZnCjTvk6utfSTGnE\np8Sz7NAy3tzyJs1sfGZ5oLS9Blgd+ArwhldRJ1AsmYBhiZA0HaZMgi5dIDAQduyw1yCEEELkF4cG\nJomJidy8aY+i5cJR7iTdYcPpDdn2iUuJ44MdHzAqJcFqGocnMBZ1FsNuBgK/Ae1hticM0TmTMBmY\nBryQCnFxcOYMdOwIO3facyBCCCEczSGBSXx8PF988QW//fYbkZGRTJo0iUuX8lKCy/6KYh0TPauP\nrcbdzfrpwwbFwLUj3/M44JNNPw9gpL0Gl1kbIBKUGPhyJ3QP0na5C6wAHr/3eXw8DB7s3IWmhBDC\nldijjolDckzmzp3L6NGj8fDwACA2Npbhw4fz/fff2/ulckXWiu+bvnU6oZGhmGzYR9Ohegei717k\nUusJJDUchJviRqpOUHMK0D+n2H5Wr4YXnoGbadprfqi7eM6jbkHeuFHNOxEiL+R9Q4hCnGNy9+7d\njKAEoFSpUly7ds0RLyXyqKRnSTzdPG3qu+XcFs5cP0Hi2ucxza2C8turKAnapbrP7T1IHfv2qUGJ\n5cGCABeBy6jLSqmpsGtXPgxICCGEXVifw8+FGzdukJaWhuHe4SdRUVGSa+KketXpxRub37Cpr9ms\nSsINUnZ9BG4e0Pk9s36LUOuLZH+esX1cAyoC/1q0p9z71ZACUqla2EPZsmWt1uwQwtWVLVvW4a/h\nkBmTF154gSlTpgBqUNK5c2dGjnRI5oHIo5rlatLavzUeBg/rnfXsXwypiWZNN4Af8j60bLVoASVL\nqr+PB8pl0S8tDRYuhOhoBw9IuLwbN25gMpnkQz6K9MeNGzcc/m/NIYHJQw89xGOPPcagQYMICgqi\ne/fuvPDCC454KWEHK/qtoGqpqni5eeX85oQbcHilpjm3Zelt1a0beN5bgYpDXdJpnEXfEyegaQ2I\nqA+EAzp5KUIIIZyDw7YL3759mx9//JH69evTs2dPR72MsIMKPhXY9+I+Xg16lTLFyuDj4UNxj+KU\n9CyJYsvG393aMGQHsN/+Q83g7g5LlqgnEwOcBGoDw7LofwPodgxmPANpvbi/1iOEEMKpOGRXzuHD\nh2nTpg1Lly7lySefZOrUqXTt2pWgIJ09ngVAsuuzlmJM4dIddWt3Oe9ylHu3HKlpqVbv83j5ECmV\nGpi1jcDxibA//wzDhkFiIty9Cx+a1NyW/5D1YcPdDfBNCJRd6ODBCSFEEeV0JekHDx5Mz549eeaZ\nZwD19MlXXnmFjz76yN4vlSsSmNjusSWPEXkuMts+Xm5ePNZ3ORH1epu1FwcuAaUcNjqV0QgREbB3\nL7jfhpfnwikT9EPdMqznQQXWbINGbRw8OCGEKIKcbrvw1atXM4ISUAdYoYLexk7h7Ca3m4yPR3Yl\n1dSy9vP8WlDSoj0O+MZhI8v0+m7QvTtMnQqv+0MZT2gO7OF+sTVLZ0zQqgN8/XU+DFAIIYTNHBKY\nVK9endjYWLO2tDTJOCyMOj3YidfbvJ5lcKKgsKLvCuqU8tM9/fdTsKF0mx1dBZLU31YA1gGTs+ia\nmAJDhsDIkZCUlD/DE0IIkT2HLOX8+++/vPXWWwwaNAgfHx82btxIp06daNCggfWb84Es5eTcb6d/\nY+rmqey6ZF6tzE1xI/b1WHw8fDgC6P0JbwPa5scgQT2CeDIZwUm6tcBgIFZ7BwAtW8KqVVC1qkNH\nJ4QQRYLT5ZiAmldy6tQp4uPjefjhhzOKrTkDCUxyr9oH1YiJjTFr2zZ0G22rq6FHO+B3i3sGAsvy\nZXTAOaAukKi9dAroCxzK4taKFWHFCujQwWGjE0KIIsHpckxAHVTt2rVp3LixUwUlIm8e9X9U07bj\nwo6M37+sc88q4B/HDclcdaAzoFOSpRawHRiUxa3//guPPw7vvisH/wkhREHJtiT91atXSUzU+a9n\nLlSqVAlv7/woUm6b0NBQgoODCQ4OLuihFCot/Vry/RHzwxh3XLwfmPRBWyI+BbVM/aR8GB8A3wLt\ngROoZWEzKY6akPsoMAaw3AidlgYTJ8LOnbB4MZRy9JYiIYRwIZGRkURGRubpGdku5bzyyiuaJNbc\n6tu3Lz169LDLs/JKlnJy76+Yv2i9qLVZm19JPy6Mu5Dx+evALIv7AoAo1FN/80US8DXwLnAGtdqr\nglkm7l/A06hbmvXUrg1r1sBDDzl0pEII4XKcMsfEmUlgknsJKQmUnlWalDTz0qkxY2OoWkrNHI0G\nHkS7G+cXoFs+jFHDiBqULAeeNb90FehvgK1ZbBorXhy++gr693fsEIUQwpU4ZY6JcE3eHt40qtxI\n0545zyQA6Kpzr6PPz8mSG+rf9EFo1pN8gY1p8FoWSzZxcTBgALzwAkyYAA0aQJ068PTT8Ndfkosi\nhBD2JoGJyLFWVVtp2nZe3Gn2uV4S7C+om2YK1NuAxdFN7sCcWPihLpQooX/bwoXw3ntw5AicPAmr\nV0PnztCzp9RAEUIIe5LARORYKz9tYJJ5xgTUGZPqFn1MwBcOG5WNDMB3gE7eSL/jsKsL1K2rf2vm\n2RGTSZ1N2bwZntOrLCeEECJXss0xsdeuHEVRqFixotPsypEck7yJuhFFrY9rmbV5u3tze9JtPNw8\nMtpmoq26WgmIATwdPUhrzgAtgOvaS3dQTyleZeOjvL3h0CGoWdNuoxNCiELNYcmvsitH6DGZTFSc\nU5HrCeY/1feM2EOTB5pkfH4V8EfdLpzZCsApckkjUQ/T0Tk82QSMBT604TEeHjBuHMyy3IokhBBF\nVF5+zmZbx+TDDz/EZDJx+/ZtypQpk6sXEK5HURRaVm3Jr6d+NWvfcWGHWWDii1rXZKXF/Z/iJIFJ\nMPAxugkxCtAF+BJNKRSNlBQ4ccLOYxNCiCLKao7JyJEjqVSpEps2bcqP8eTZ2bNnGT58OE8//XRB\nD8Wl6eWZWCbAgn4S7FbgqP2HlDsvAVnE3G2BKjY+pnRpO41HCCGKOKuBSalSpRg4cCClMpXAHDly\npEMHlRc1atRg4cKFBT0Ml6e3M8cyARbUs3Pq69z/mf2HlDtn0D1XB6AE6rk/7a08QlGgSxf7DksI\nIYoqq4HJkSNHeOyxx6hQoUJG29mzZx06KIBhw4bh6+tLw4YNzdojIiKoW7cutWrVYvbs2Q4fh9DX\n3K+5pu3k9ZPcSLhh1qagTkpYWgrEOWRkOXSDbDNxKwObUKvZZsVkgo8/Bjud3iCEEEWa1cBk3rx5\nzJgxg5o1a+Lr60uPHj04d+4c//vf/4iOjnbYwEJCQoiIiDBrMxqNjBo1ioiICI4ePcry5cs5duwY\n33zzDWPHjuXSpayKiwt7K1OsDPUq1NO077q4S9P2HOBj0RaLWoi1wFUCkrPv4oa6w+gXslz1Yft2\neP55KbgmhBB5lW3yK0BgYCDHjh1j/fr1REZGsmvXLo4fP06fPn0AKF26NI0bN6Zx48Y0atQo4yOv\nJwq3bdtWE/js2rWLwMBAAgICABgwYADh4eFMmjSJwYMHA3Djxg3eeOMN9u/fz+zZs5k4caLu80ND\nQzN+L4f55U7Lqi05du2YWduOCzt4IvAJs7bSqEVXv7S4/1PgedRZlQJTDagDHLDetRtwUIFnvGCH\nzuzIsmVqDZSpU+08RiGEcHL2OLwvXa7OyunatSuffPIJ+/btY//+/ezfv58DBw4QExMDQJkyZejY\nsSP9+vWjX79+uLnl7ui26OhoevbsyaFDhwBYtWoV69ev58sv1R9x3377LTt37uTjjz/O0XNlu7B9\nfL77c176xXyhpkvNLkQ8G6Hpuw9oommFnajlRArUz6jbhKxtv7nH5A6bhkG3xeqOHEsrVsjZOkKI\noi3fz8rx9fWlRo0a9OnTh+nTp7N27VrOnTvHtWvX2LBhA6+//jru7u5MnjyZhg0bcvz48VwNzpKi\nFOj/rYUFvQTYXRd3kWbSnoj3CNBS5xkFdn5OZj2A6YA3Nv2LUFKh0xfwpWVp23uGDIEd2jxgIYQQ\nNshVYLJkyRLd9nLlytGxY0fGjx/P8uXLiYqKYsWKFWbLJnnh5+eXMSsDEBMTQ9WqVe3ybJFzD1V6\nCB8P8+yRm4k3OXX9lG5/va3DK1DzTwvcq8CfwACgFOAF1ABeIMvEkiFR+kmxSUnwZE84V+AHAwkh\nROHj0LNyOnfuzOTJkyltpyIPzZo149SpU0RHR5OcnMzKlSvp1auXXZ4tcs7d4E7zKtrdOXr1TACe\nAcpatCUCS+w9sNx6BPUcnduoAzuDerjPfvSne4C3UIvIWfrnmnrAn50KJwshRJHh0MCkY8eOREdH\nExQUlON7Bw4cSFBQECdPnsTf35/Fixfj7u7O/Pnz6dKlC/Xr16d///7Uq6fdGWKL0NBQuyXqFGW2\n1jMBdaUkRKf9M0C7+ONEqgPbgDHaSwbgG6Cpzm2HDsHAgWA0OnR0QgjhNCIjI/O8SpKr5NfCTpJf\n7efHYz/S53vzOYNHKj/C3hf36vY/BdTWad8AdLL76BzgLUBn180l1CTeizq3VKkC7u5QooR6EvHz\nz0OmskBCCOFyHJ78Onr0aK5evZqrFxCurWVV7RrHwasHiU/R3+JSC/0AxCmSYG3RALUkrIUqwE9o\n67UAXLoE58/D0aMQFgYBAfDbbw4dpRBCFFo2BSYLFiygffv2hIWFER9v455KUSRUKVkF/1L+Zm1G\nk5E9l/ZkeY9eEmw4+rMNTqciWRZeSU9RyW7vWEICxMVB795w8KD9hyeEEIWdzTkmISEhPP744zz7\n7LN89tlnpKU5dVaAyEd6syYh4SFEREXoTuX1Qns4nhEoFCcctUJNlsnCU0BWByV4cr+iYWIiTJ9u\n15EJIYRLsDkwURSFoKAg1qxZQ/ny5enVqxfh4eGOHJsoBFKMKRz9V3tW8Ombp+n3fT+eWvEUKUbz\nKmTuqLtwLX0JpDpklHbkBkxBf83mntdQK9paSkb9B/cIYEqDn3+Gu3cdMEYhhCjEcrUr5+mnn+bH\nH38kOjqap556ip079beHOjPZlWMf/434L1E3onSvxaXEseHMBsas125neQH1Z3xmF1HzNJzeKGAo\nUFznmru60/gTIFjncjJqFdzaQPs0+Pcs6rakRqjTSA2AD4Fbdh+1EEI4XL7tyjEYDMyaNYsJEyZo\nrt2+fZuZM2dy8eJFQkNDCQwMzNOA8oPsyrGPGwk38JvrR2Jq9sfqFnMvxqVxlyjrbV7FpA/wo0Xf\nx4FCkxe6CXgX2Iq6FlUdeBXavguDotWvrw3qTiQ9BmCsAtM9wScp0wUfwAP1G1Hg9fqFECLn8r0k\nfWalS5dm9uzZvP3228ycOZNXXnmFa9eu5fWxohBYfXQ1bor1c5DcFDdWH1utaddLgt1A1j/InU5H\nYD3qFEkKEAW8DI+HwNhiEKR+Sq0sbk8D3jfBw0mwJfOFeNQib48DMXp3CiGE67JbgbXSpUtTvnx5\nPv/8cx5++GF7PVY4sSt3r2S5LTizuJQ4rt7VbjfvCOjNr32e96EVqBdfBIMBTgPjUKvb9ybrf2yn\ngQ6oy1tmKziJwDwHDlQIIZxQngOTlJQUPvjgA2rWrMn7779P/fr1+fbbb+0xNuHkynqXxcvdy2o/\ng2LAx8OHxNRErt69SkJKgtoOvKTTfzGQYNeR5i9fX1i5Enx8QFHgMOqSVUOgZjb3LQTqk2l5K5lC\nslVJCCHsJ0+BycqVK6lbty6vvvoqJUqUYOnSpezZs4cOHTrYa3zCiT1V9ymb1hDTTGmEbQ2j5MyS\n1PiwBqVnlab7d93ZcWEHQ1FnFDK7AfzggPHmpx494PffoXt38PJSq74e9wKvevB8W3XrsJ7LqLkp\nTwNXAO6gLhMJIUQRkavA5Pfff6dly5YMHDiQGzduMGvWLE6ePMngwYNRlOzKSwlXUrVUVboGdsXL\nzfqsye2k26SaUklITSAlLYV1Uevo+HVH1u5bTH+d/oWmEmw2mjSBn36Cq1dh716IjoYjR2HhNjhQ\nHFpnc+8q1NmTxQqYrKfxCCGEy8hRYHLixAmeeuop2rdvz4EDBxgzZgynT59mwoQJeHlZ/+HkTGS7\nsH183ftr6laoi7d7NlXHdJgwEZ8Sz39+/Q+drmvTXXegHurrCkqXhlq1oHLl+211B8A2N1iAboV7\nAG4Cw9Kgcxc4c0YtbT97tprDMmkS7N6dD4MXQogcyNftwrVr1+bMmTMYjUaeeeYZZs6cSY0aNfL0\n4gVFtgvbV2JqIl/u+ZL3tr/HxVi1sHxZ77Jcj7+Oiey/z26KG/0bDOBon281gUh/1KJrJR0y6gJ2\nFGgGJMB51N07v2bT3d0dTCb116QkNbm2WDGoXRvWrgV//2xuFkKIfJaXn7M2ByYA7du3Z86cOTRr\n1ixXL+YsJDBxnPTEVm8Pb7zf9rZa4wTA292beZPjeVHnmhfQEwgFHrLjOJ3CYuA/QAKYgOXAK0BO\nNtu7uUHFiuq5OxUrOmKQQgiRcw6vY9KgQQPWrl3Lli1bCn1QIhzL28Mbbw91WceyFH1WElMTGWAy\nZZwjk1kSsAa1zthWew3SWYSgFm7pBIon/J8XHAMG5eARRiPcuKEu8QghhCuwacbE1ciMSf6o8G4F\nridct9qvbLGyvDPxBqPI/qyckqhl611yaScWdapkNPArrANexPb6aiVLwvXr4OHhqAEKIYTtCrTy\nqxBZGdF0hNUdO15uXgxr8jwzsX6AXxrwtb0G52xKAQ8CXwAloStwBHWlx5Z9bmlpcPmyA8cnhBD5\nRAIT4TCjWoyyWoDNw+BBr1bjbMqriMOFA5N0fsC9ZZmSwHzgd6CulduMRjUhVgghCrtxDHNrAAAg\nAElEQVRsl3KuXr1KYqL15EWrL6IoVKxYEW/vnG0pdRRZysk/uy7uovM3nUlKTSLRqP279GGXD2nT\n6r88hrqaYU091A0tLi0NaAf8eb8pEZgBzMziFi8vuHNHlnKEEM4hLz9n9fINM8ycOZPYWFt+XFjX\nt29fevToYZdnicKjhV8Lzrxyhq/2fsX0rdO5m3LX7Pq52HP0R62+bosAew/QGRlQl3QeIeMbUwx4\n+96vb+rckpSk1jdZuFBmToQQhZskv4p88/WBrxnyvyFmbfUr1ufIyCM8BkRaub84akXUJxwzPOcz\nHZimbe6MuplHz8svw4IF6hk9QghRUBxex8TVSGBSMK7evUrl9ytr2s+NOcfF0tXoSPaH9z0InKII\nJUYlo86aWKxdxQG1POByFruxx4yBuXMlOBFCFBzZlSMKBd8SvjR5oImmPSIqgkeBbwAf1OUKPU0o\nYn9hPVFPF7YIMIoDuwPhrVH6t82bB5Mnq5VihRCisMk2x8RVk19Fweka2JW9l/eatUVERTCi6Qj6\noh5s9zlqisUli3t/Aq4D5fNjoM7iUWAk6qE6mVQ5BpPPqpVfXzdqb3vnHfD2hqlT82OQQghhP9ku\n5bzyyisumfwqSzkF54/zf9B2cVuztpKeJbk24Rqebp4ZbUlAVbTl2ecCYx09SGcTi1qP/4L+5Wmo\n6Sh6Zs+GCRMcMywhhMiK5JjkkKIoTJs2jeDgYIKDgwt6OEVKaloqFd6twO2k22btkUMiaR/Q3qxt\nPPCexf11UVMuilz6xGxgkv4l071L72Zx68yZUK2aup24WjV4/HHZViyEcIzIyEgiIyMJCwuTwCQn\nZMakYD39w9OsOrrKrG1i64nM6jTLrO0kUEfn/m1AW512l9adbI8fNgFjFPgoi7/WXl7qNmIPD/XX\nsDAYPVoSZIUQjiHJr6JQeaKmdsNvRFSEpq02EKxz/xd2H5GTMwG/Zd9FAeaZYEQWMyFJSZCQALGx\ncOsWvP46TJli74EKIUTeSWAi8t0TgdrA5MDVA1y6Y5nuqh5kZ+kH4Ib9h+W8jPc+rFCAT4EhQ6z1\nhPh4+OADOOryZXSFEIWNBCYi3/mV8qNhpYaa9vVR6zVtvdHuwkmiCJyZk5k7UMa2roby8MUX6tKN\nNSkpanAihBDORAITUSC61uqqaVsXtU7T5gUM1bn/C9QVjiLjRdRvhjUJ8O8u28rSp6bCpk15HZgQ\nQtiXBCaiQOjlmWw4s4HUtFRN+ws69x/D7Iw71/dfwJYyQLeh0v+pW61tkZaWhzEJIYQDSGAiCkTr\naq0p4VnCrO1W4i12Xtip6VsHaK9pLWJJsA+gHiZUHiiRfVePGPg5ESra8NiaNfM8MiGEsCsJTESB\n8HTzpGONjpr2iNPa3TkAI3TavqeIJcE2As4DHwItgZqoZ+no5J/UNsFGBcpaeeS+fXDypJ3HKYQQ\neSCBiSgwertz9LYNA/RBPwn2W7uPysn5AMOAHUAUsBd1TauCtuvDJogASmbzuJs3oVMnOH/e/kMV\nQojccLnAJDw8nBEjRjBgwAA2bMjqcHjhDPQCk92XdnP5zmVNezFAbxfs5xSxJFg99VHrnOjMnLQA\nfjVA8XuF1PTqqcXEqNVgr1513BCFEMJWLlv59datW7z22mssXLhQc00qvzqPegvqcfzacbO2Yu7F\nGN1iNK8FvUal4pUy2o8D9XSe8Qfq4X9F3g6gExCnvXQS+MgDSiuwNAUu6vz1b9QItmyBstbWf4QQ\nwgqXrPw6bNgwfH19adjQvN5FREQEdevWpVatWsyePTvL+9966y1GjcriXHjhFFKMKcSnxGvaE1MT\n+XDnhzT8tCFnb57NaK8LtNN5TpFKgs1OK+Bn1OklC7WB+SnwdjJsNkElbRcOHIDu3eHuXccOUwgh\nsuO0gUlISAgREeb5BkajkVGjRhEREcHRo0dZvnw5x44d45tvvmHs2LFcunQJk8nExIkT6dq1K40b\nNy6g0QtbTNkyhSt3ruheSzYmcy3+Gk9894RZ1J1VEuxNxwyx8AkG1gDZHNJXG9iAfs227duhd2+1\nhL0QQhQE94IeQFbatm1LdHS0WduuXbsIDAwkICAAgAEDBhAeHs6kSZMYPHgwAB999BGbNm0iNjaW\nqKgoXnxRr6g5hIaGZvxeThnOf4mpiXzy9yckpyVn2SfNlMalO5fYdm5bxsnDfVFLemTejZOImgQ7\n2oHjLVS6ohZ/+STrLg8D69Bf+dm4EQYOhO+/B3enfYcQQjiT9FOF7cGpc0yio6Pp2bMnhw4dAmDV\nqlWsX7+eL7/8EoBvv/2WnTt38vHHH+fouZJjUvDWR63nmVXPEJsUm20/BYXhTYbzRc/7CzbjAMtK\n6g2Ag+gndxZJVk4jTrfJB7qlQHKK9trgwbBkiW1VZIUQIjOXzDHRo8gZ7S7jdtJtm/7SmjBxLf6a\nWZteJdjDwHb7DM01JNjWraMHfP8GuLlpr33zDfz3vyAxvBAiPxWqwMTPz4+YmJiMz2NiYqha1dbi\n28KZVClZxaZ+brgRUCbArK0e0FanryTBZvIw2eaZZEiGJ59TZ0b0LFgAU6facVxCCGFFoQpMmjVr\nxqlTp4iOjiY5OZmVK1fSq1evXD0rNDTUbuthIueC/IMo7lHcaj/FoC7lWNJLgl2JJMFmeBnQmQXR\nqA48CM8+qwYhet5+G+bMsePYhBAuKzIy0iyHMzecNjAZOHAgQUFBnDx5En9/fxYvXoy7uzvz58+n\nS5cu1K9fn/79+1Ovnl5lC+tCQ0Ml4bUAGRQDMzrMwMfDJ9t+aaY03BTtT9i+aMutJwLf2W2EhVwd\n1HK51g7+uwncS/MZORJmztTvNmECfP65/YYnhHBNwcHBeQ5MnDr51VEk+dV5vLnlTd7/632SjEkY\nTUbdPm2rtSVyaCQGxTyOHoN6bExmDYEDSBIsACnAUODHe7/XHtysehmzHTyTJoFeiSBFge++U3fs\nCCFEdvLyc1YCE1Hg9l/Zz9ztc9lwZgO3E2+TkKrN3Pys+2e82Mx86/dR4CGd521HrTUm7jmBGnjs\nB44A13X6RJJxhLPJBP/5D3z6qbabmxuMH6/2URR49FG1KJte8qwQouiSwCSHJDBxXvEp8TT8tCFn\nbp4xa///9u48rKqqffj4dx9mBFEccEJBMeecUF8xFTXTMMfKqcHUhl+mT9msqWlaWtmsDU+DmpbD\n42wpaihOOQ9ZoUkphmPOKch49vvHVvSwN2eAAxwO9+e6vJK11t7nBjpys9da9yrrU5aEEQlUL1vd\nor09Wkn62z0GzCrMIEuyY2h7q3MX3K2Dtt/6xsya2axtF/7+e+u3CwwEHx/tSco99zg9WiFECVVq\ntgsL9+fv5c9/79Pvr/k3/V9GrB6h+x89r0WwlwsnvJIvHJhq0P4XMOHWhyaTtlPH1tryq1fh/Hmt\nWuxPPzkvTCFE6VVqExPZleO6utTuwtBmQ3XtK/9YyeKExRZtD6AvrX4dWQRr1UggyqD9A2DnrQ+9\nvGDhQujUyfYtU1Nh6FCpeSJEaeeMXTkylSNc0qXrl2gwswFnU85atFcuU5lDzxwi2C84p+1Z4ONc\n18siWBsOA82A3GfiNAT2AT63mubP17YTm83WbxkQAKtWgWx2E0LIVI5wO+X9yjMjZoau/Z+Uf3hh\n3QsWbUaVYH8FdhVOaO6hPjDRoD0BmGLZdPiw7aQEICMD9u0reGhCiNJNEhPhsu5vcD+96/XWtc8+\nMJufjt5a0NAY45kJqQRrw4tAS4P2aWg7eG5QFO2PLaoq5+oIIQpO/hkRLktRFGbGzKSsT1ld35Or\nniQl49a5uEZnSC8ArhReeCWfJ/A1+jPGs4BhaLVPgKgobZrGlqwsqFXLqREKIUohSUyES6tetjrv\ndtXXQz92+Rjd53VnyuYprDi8gr7mLN0i2FRkEaxNTYGxBu37gUCgEtw9BwJ8DMbkoqrw/PNw/Lhz\nQxRClC6y+FW4PLNqptOcTmw+vlnXp6AQ4B2Al4cXrYfvILZCXYv+O9FmJWQRrBUZQAu04mtGPGCT\nB8SokJpp+3a1a0N8PISGOi9EIUTJIgXWHCSJSclz5MIRmnzWhIzsjDzH+FZrRdoT+iWvO4HWhRib\nW9iJzXK5W3xgaBCcSYHsbG1BbEYe346ICC05qV7duF8I4d5kV04+SB2TkuWOCndQyb+S1TFpp3Zj\nOrFD1y6LYO3kZb27fTok+sL6ddppw++/DwsWQCWDb8uff0LnznD6dOGEKoRwTVLHJJ/kiUnJc+jc\nIVp80YK07DSr43xaPkX6fZ9btPkDp4Cgwguv5BuOVsff1tsiAO1cndt28/z6q1aE7YLBGTz162tP\nTkJCnBSnEKJEkCcmwu3tObUHT4/c20f00n/5Fu9My4NgUgEbR76I49hOSgA8gDOWTU2aQFwcBAfr\nhx8+rD05OXfOCTEKIUoFSUyEe8m6TkTydl3zF9j3c7fUsj5Ldks2+jMAgKZNYf16KGfQl5AAXbpo\nZ+oIIYQtkpiIEqF19dZkm7NtjivjVYbBmSm69l+APYUQl9sYgjZNY4sKtDHuatFCS06CDObMfv0V\nunaFixcLEKMQolSQxESUCPUq1qNx5cY2x2WZs3ihzj2GG0xkEawV9wAVsf0vQjpavf88REbC2rUQ\nGKjvO3BAS04uXcp/mEII9yeJiSgxvu71NQHe1n+t9/bwJi0rjScN+uYD/xZKZG7ABKwHKmBxgJ9O\nFtAfqyV127SB2FjjarH79kG3bnBFSvIKIfIgiYkoMZqENGHr0K3Uq1CPMl5l8FA8dGOuZlzlzS1v\n0h/IXcg+BVkEa1UE8BvwPNoWJi+MK9P9CTyO1UU7UVGwejX4++v7du+G7t3hX8kShRAGZLuwKHFU\nVWXXyV1s+XsL8w7O45ezv1j0e5m8SHgmgQ+CI/g017XNgH1IJVibzMBVtMWunYCDBmM+BkZZv018\nPMTEwPXr+r6oKO3JitG0jxCiZJPKrw6SxMR9JF9Jpt6MelzPsvzJ17d+X14fsJRmBtfsBiKLJDo3\ncQTtC3Y1V7sXsBWbZXXj4uC++yDNoARNpUqQng6ZmVCjBjz3HDz6qH2HBgohXJfUMRGlVmhQKC9G\nvahrX3Z4GWu2TqNheu6fprII1mF3AF8ZtGeirTexsdOmSxdYsQJ8DNaunDunTelcvw6JifDSS9Co\nESQnFzxsIUTJJE9MRIl3LeMad3xyB6evWdY/NykmvFo8Rfp9lhM6ZYDTaIfnCgeMAmYYtPcEVmBz\nfmzNGujTJ+/zdW7y8ICwMPjjD+3vQoiSR56YiFItwDuAqV2m6trNqpn0g3Mg3XKVZQraDh3hoOkY\nz4GtAt6zffm998KSJbbHZWfDP/9o60+EEKVPqU1M5BA/99KyWksUo1/ZM1Ph4Dxd89NodcL+hzYj\nIezgAyzCsPIrr6JN96wHfifPHTv16oG3t+2XunoVPv/c9jghhGuRQ/zySaZy3M/jKx9n9v7ZZGNQ\nHTakKfzfAcPrAoAGQBwytWO3FUAfg3YF7QuaDVQHpgH9LIds2wY9ethXx6RFC9i7t4CxCiGKhUzl\niFJvdeJq46QE4FwCZBsvbLiGthP2/kKLzA31Bl4waFfRdu6kAonAI2jTP7cJDtZ24NhDduYIUTpJ\nYiLcQma2lZ925kw4m3cd9XS0Xa8JTo/KjU0F6toYkwpMQJvauaF+fahc2b6XOHRI26kjhChdJDER\nbiEiOML6gN25S61ZygS+cV447s8LsGfHTAbwwa0PFQVef924Imxu585B+/bwyy+2xwoh3IckJsIt\nvBD1gvVzdA4tASunE2cBUjrDASlopeltyQZ+sGwaMgQefxzKlLF9+dmz0LGjtjZFCFE6SGIi3ELv\ner2JCI7A25THlo/0K3ByV57XK0ClwgnNPaVh3xMT0J6a3EZR4KOPYPFiLekwmbQ/gYHGT1KuXNFO\nJZbtw0KUDpKYCLfg5eHFhkc3EFktkjJeefwqfvDbPK/3Bx4qnNDcUzm06Rx7VDFu7t5dO0snMxNS\nUrQKsPv3Q2iofuz169CrFyxalM94hRAlhiQmwm2U9yvPtuHb2DhkI9G1ovUDDq8A1Wx4bVXg/xVq\ndG7GA+2EYTtqknASOJx3t8kEvr7a3++4Q5u2qVdPPy4zEwYOhC+/dDxcIUTJIYmJcDutqrdi+cDl\neJly/Up/7XSe0zlNkROHHfYSWt0SW1+4f4EuwF/23TY0FLZs0eqY5Kaq8OST8O67DkUqhChB3C4x\nOXz4ME8//TT9+/fn66+/Lu5wRDEJ8g2iS+0uuvYKh5cZ/hxdgfaLvXBANbR91lWxXZ3uFFpy8rd9\nt65UCTZsgA4djPtffhnGjNESFSGEe3G7xKR+/fp89tlnLFiwgLVr1xZ3OKIY9a3fV9cWfGgZ51SV\nCrnas4BPiiQqN9MAOA7MRSu8dhdaVVijdSXH0ZKT0wZ9BoKCtAWvPXoY90+bBiNGaGfrCCHch8sm\nJsOGDSMkJIQmTZpYtMfGxlK/fn3q1q3L22+/bXjtqlWr6NGjBwMHDiyKUIWL6l2vt+78nMSLiZw5\nl8AzBuO/QKsEKxzkiZaULAe2AMuAbWhl6XP7E7gbOGffrf38YNkyGDzYuP/zz+Hhh22fWCyEKDlc\nNjEZOnQosbn2B2ZnZzNy5EhiY2NJSEhg/vz5HDp0iLlz5zJ69GhOnToFQM+ePVmzZg1z5swpjtCF\niwgJCCEqNErXvuzwMp5BO5PudpeBWUURWGlQG+0AIqMqrwnAPcAltDonNkrUe3nB3Lnw9NPG/QsW\nQJ8+kJpagHiFEC7Ds7gDyEv79u1JSkqyaNu1axcRERGEhYUBMHDgQFasWMGrr77KI488AsCmTZtY\nunQpaWlpdOrUKc/73376YXR0NNHR0U7+DIQr6Fu/L9uSLatzLTu8jHEdxvEI2oG4t/sQGIH9JTqE\nFfWAn4Bo4GKuvgNADeD6jY+rAM8DTwJl9bcymWDmTChfHt56S9+/Zo22/XjVKu304n//1aaCbu72\nEUIUrvj4eOLj451yL5c+XTgpKYmePXvy66/aOSeLFy9m7dq1fHljv+C8efPYuXMnn3zi2OoAOV24\n9Dh66Sh1Pq6ja096NomUcrVoZHDNYuRQP6faC3RG251jjR8QAmwnz9onANOnw0svGfeVLas9OfH0\n1Nae3HsvjBsHrVrlJ3AhRH6VmtOFFUU2dArH1C5fmztD7tS1Lz+8nIbAvQbXvFfoUZUyLYE1gK0S\n9NfRtkblsdj1phdfhK++0p6i5Pbvv5CVBWlpWt2TVau06rLff5+vyIUQxaBEJSbVq1cnOfnWiSbJ\nycnUqFGjGCMSJUGf+n10bcv/WA7ACwbjt9/4I5woClhqx7hM4A8g79MDABg+HBYu1NafWKOqWtXY\nJ56Aw1aKvAkhXEeJSkwiIyNJTEwkKSmJjIwMFi5cSK9evYo7LOHijLYNbz6+mfOp5+mMVlwtt/cL\nPapSyIxW+9+W60DepwfkeOAB+OEH8LBjQVBGBnzwge1xQoji57KJyaBBg4iKiuLIkSOEhoYya9Ys\nPD09mTFjBt26daNhw4YMGDCABg0a5Ov+EydOdNpCHeHamoY0JaxcmEWbWTWz6o9VKBg/NVkKHCuC\n2EqVi9i3qtgMnLHvll27aocC2pKVJefsCFEU4uPjLTaX5IdLL34tLLL4tfR5fu3zfLDD8lfmnnf0\nZOWglWQA4WjFSW/3H+CjIoqvVIgD+mF7ESxoO3a23/ivFdnZ2kJXe3h5Sb0TIYpKqVn8KkR+GU3n\n/Jj4I9O3TSc17TKjDK75Gq3UhnCSjthfoOAEcCc216V4eGg7cewRaKtsvhDCJUhiIkqFqNAognyC\nLNrMqpnXNr5G1feqkrVrpm7TSArw3yKLsBTwBF7DvnUmoGWF9wNPoZXk3Q58gLYAaBNw45exxx6z\nvQgW4OpViItzLGQhRNGTqRxRKqz7ax0x38WQrRofrOLv5U/LoVvZUrW5RXs1tLUm3oUfYumgolWw\nmwukkpNc2OSFtj7FfONjb6A8MAeO14YmTbTEwxZfX1i+HLp1czRwIYQjZConH2Txa+mhqir/98P/\n5ZmUAKRmprJzyWBMud5Ip4BvMuQEHadRgE+BH4DuaLVN/IDGwKsYn68D2jbiNCDjxp9rQDLQA2ol\napVfAwO1s3WsSUuDXr203TxCCOeTxa/5JE9MSpefk3/mnrn3kJKZYnOsqf8SzA36Wbad+YUfr52h\ne4T8ml3oLgCPox0IaK8Q4BScu6AVXvvqK7h8GcqVg/R0OHlSf4mXl1YHpa9+6ZEQwgnkiYkQVvz+\nz++ods4ZmH+erm+r0pQ+Oz9i/+n9zg5N5FYBbcHr5+hPWcxLKrAWKlWCMWPgr7/gwgXtv7/9Bq1b\n6y/JzIQHH9SSEyGEa5HERLg9Lw8vFOw8zuDEdkjW131Nb/UM4zeOd3JkwpCCtuB19I2/23IV2GHc\nVa4crF8PUfpDpsnOhsGDtZOLhRCuQxIT4fba12xvdX2JznaD03Lu6MG6K8lcui4biItMCPZvLzbn\n3VW2LKxdq52Zo7vMDEOGwDff5CdAIURhkMREuL06wXVoVa0VJsXO/90PL4NLR/Xt/+85Tl877dzg\nRN5aYt90jh9g4/TggABYvRruvlvfp6ra2Tuff56PGIUQTieJiSgV5vSZQznfcvYlJ6oZdnyoa85s\nMojr3lKlq8jchbbmxJZ0oK3tYf7+2mnD9xodKQ08/TR8/LED8QkhCoUkJqJUCC8fzt4n99I5vDM+\nHj4EegcS6B2In6cf1QKq4eOR61fzA7Mg7bJlm6cvq8rKadZFRgHmYLsgmxl4Artqovj6wrJl2pZh\nI88+C9P165+FEEWo1G4Xfv3114mOjiY6Orq4wxFFLPlKMjtO7MCsmmkS0oSQMiHU+rCWfjtxl2lw\n1ysWTRWBv9FmD0QR2QgMRivFa62I2ifASPtumZGhLXxdssS4f8oUeO01h6IUQqDVMYmPj2fSpEn5\n3i5cahOTUvhpCytWJ67mwf89SGpm6q3GwOrw7DHwsKx3/l+0X9BFETIDPwE/A1eAL9ESldt5AzuB\nZvbdMisLHn0U5s837p8wASZOtO/0YiGEpYL8nJXERIgb9p7ay/iN41n317pbu3j6fAtNH7EYVx/4\nHZkHLVbL0E4qzu0OYC8QYN9tsrNh2DD49lvj/r59tZ07ly5BeLi2DqV1a0lWhLBFEhMHSWIirNl9\ncjetv7pRlatKM3hKX1jtB6BH0YYlchsJzDRoHwLMtv82ZjM89ZRWMdYak0kred+0Kfz4o1YjRQhh\nTCq/CuFEraq3omGlhtoHZw7AsQ26MQaVTkRRmw7cadA+B+2QQDuZTPDFFzBihPVxZjOkpMCePdC5\nszYVJIRwPklMhDDQu17vWx8YFFzbCEiB+mLmCyzEeNfO08AR+29lMsGMGfDcc7bHZmRAYqIcBChE\nYZHERAgDFolJ4ho4d0g35v0ijEfkoT7G0zkpwEC0E4mtVIW9naLAtGngaUe12WvX4D15bCZEoZDE\nRAgDraq3ompA1RsfqbBDn4YsAE4UaVTC0BDgIYP2/Wj7uj2BMOBj9Dt5cjl/3r7EBLSnJkII55PE\nRAgDJsVEr3q3VeE6OA9S/rEYk4VWOkMUMwX4DIjIo18FjgNj0LYSn8v7Vj4+2loSe3h7OxCjEMJu\nkpgIkQeL6ZysNNj9qW7MF1iv+SWKSCDaIyxr/6KloiUoeVR9BahQAWrVsu8l8yptL4QoGElMhMhD\n5/DOBHjfVhBj96dagnKbK4AcTOsiGgFeNsZkAgfJc+WyosCrr0KZMrZf7tgx7QBAIYRzSWIiRB58\nPH3oHtH9VkPqOfhFX4nrQyC76MISedmAVv3VlnSsbid+7DHtFGJ/G2f0rF8Pb79tf3hCCPtIYiKE\nFRbTOQDb9Ytgk9AKkYpidgG7DvIjGziTd7fJpJ2hM24cBAdDYCAE5FFJ9rXXtARFCOE8kpgIYUWP\nuj3wUDxuNVz4A47oC1jIzlEXUAn7/kUzATYOifbwgDFj4OxZWLtWS1Q++EA/zmyGQYPg+PF8xCuE\nMFRqE5OJEycSHx9f3GEIF1ferzwdwzpaNhoUXNuBdjzLYGBfUQQm9Dqj7dCxxYxxxVgDnp7Qti3c\nc49WfO3ll/VjLlyA+++HtDR9nxClTXx8PBMnTizQPeSsHCFs+Hjnxzwb+6xFm+8zh0irWF831oRW\nkHQC8EqRRCcsvAm8hbYDx5oKwHagrmO3z8qC7t0hLk7fN3QofP21HPAnBMhZOUIUKt06EyBt8xTD\nsWa0n4lvAEsLNSphaAzwAGBrV80FIAY479jtPT1h/nwIDdX3zZoF//2vY/cTQuhJYiKEDbXK1eLO\nyrme/f++ENKv5XlNKjCucMMSRkxoJwsvATqhVX71QnuMldufaDVNrjv2EpUqaWtOjAqsjRoFO3c6\ndj8hhCVJTISw4VrGNU5fO23ZaM6C3763et1xHDpHTjiLAnRD2z6cCmSgbZ0KMxi7Ha2kvZ3VXm9q\n1QpmGpzRk5mprTc5e9ax+wkhbpHERAgbJmycwOW0y/qOuLFWK2x5AfLzyUWEAKuBcgZ9/yNfC4Ie\nfxyeeELffvIkDByorUcRQjhOEhMhrEjLSuPLfV+Sac7Ud16/ABfyfiaSBZQvvNCEoxoAyzEuwjYd\nmAr8CPwAJNt3y08+0Z6e5BYfr1WQFUI4ThITIaz47Z/fMClW3iYGW4dvqohWJV24kI7ArDz6xgIP\nAg8DdwBdgMPWb+fjo603qVhR3/fee7BoUQFiFaKUksRECCsysjNQrBXH2PclpOuP8fNC2zIsO0dd\n0GDAeFOVthD2CpAGbARaA79av11oKCxcqFWMzW3YMPj99wLEKkQp5JaJSUpKCq1ateLHH38s7lBE\nCRcRHEFalo3KWfu+0jWVA4YWTkjCGcYCj9sYo6IdHd0Pm6XuO3eGqVP17Skp0DkysJoAAB+ASURB\nVLcvXLmSryiFKJXcMjF55513GDBgQHGHIdxA5TKV6RLexfpTkz2f6ZrOYXMWQBQnBRiFff8Cnkbb\nvWPDSy9pO3JyS0yEIUO08vVCCNtcNjEZNmwYISEhNGnSxKI9NjaW+vXrU7duXd42ONpz/fr1NGzY\nkEqVKhVVqMLNvdP1Hcp4W6nYdTERTu7WNVvfTCyK3Wa0OTdbrgM/2R6mKFqRtQYN9H0rVsC0aQ7G\nJ0Qp5bKJydChQ4mNjbVoy87OZuTIkcTGxpKQkMD8+fM5dOgQc+fOZfTo0Zw6dYpNmzaxY8cOvv/+\ne7788kspPS8KrFHlRsQ9Gkcl/0oEegcaDzKoafI99h12K4pJBvZ9g8xAun23DAyEpUu1/+Y2bhys\nW+dAfEKUUi59Vk5SUhI9e/bk11+11Wfbt29n0qRJOQnLtBu/grxqsC9vzpw5VKpUiZiYGF2foii8\n/vrrOR9HR0cTHR1dCJ+BcCdZ5ixW/bGKJYeWsOvkLhIvJt7qDKgCo0+AycPimp+BtkUbprDXamAg\n2joSa/yAL4GH7L/10qXG0zrBwbB3L4SF2X8vIUqC+Ph4i4NxJ02alO8HAyUqMVm8eDFr167lyy+/\nBGDevHns3LmTTz75xKH7yiF+oqCupl+l3ox6lhVhH14HdbpajBsJOPZ/pygy2UAVbJ+XowAngGqO\n3X7MGOPpm+bNYds28PNz7H5ClCSl5hA/RY7tFC4i0CeQd7q+Y9n463e6cQsBg9JswhV4oGWN/jbG\nqcBTOFy2fsoUuPtuffv+/fD001aLBgtRqpWoxKR69eokJ98qyZicnEyNGjWKMSJRmj3U5CHa1rht\noubwMsi1tfgcsMSonL1wDQOBj9Gma6wlKD8A7zp2aw8P7STimjX1fXPmwOefO3Y/IUqLEpWYREZG\nkpiYSFJSEhkZGSxcuJBevXoVd1iilFIUhY/v/fjWVuL0f+GPVbpxw49t4HyqrfkCUWyGo20Jngb0\nRqv4ajTN8hraTh4HVKyoVYb18dH3PfssbLdjG7IQpY3LJiaDBg0iKiqKI0eOEBoayqxZs/D09GTG\njBl069aNhg0bMmDAABoY7c2zw8SJEy0W6giRH40rN8bT5HmrwWA6J7XOPTy99sUijEo4LAitrsly\ntK3BCwzGZKM9YXHwZMbISPj0U317ZiY88ICcRCzcS3x8PBMnTizQPVx68WthkcWvwlnm/jKX//vx\n/0jNTNUaPLzhhTPgZ3l8n9eyRznT/UOC/YKLIUqRLy9jPH3TGViHtkbFAU89Bf/9r769Y0dYvx68\n7KmpIkQJUWoWvwrhalYdWXUrKQHIzoCExbpxapPBbE+W5/YlypvAXQbtG4BJjt/u44+hdWt9+6ZN\n8Morjt9PCHcliYkQBZCeZVB5y2A6Jyu8i81dqcLFeKFN6RgVkZ4CrHXsdj4+sHgxGBWl/uAD7YmJ\ntzc0aqRVkE23s6ibEO5GEhMhCqBltZb4evpaNh7fDP+esGzz8OJYtZZFF5hwjupoJXxzVypQgQHA\nOOBtIBa7thOHhsKCBcYnEWdlaetOEhJg1Cjt6Yoc/idKI0lMhCiAx1s8bjCPqsKv83VjfwqoUjRB\nCee6G3jdoP0K8Bbabp3+QFVAvylLp3NnMDjmy0JKCvzxh3H1WCHcXalNTGRXjnCGaoHVGNV6FP5e\nuYpgGEznbAOSiiQq4XTjgK4G7Srabp2rwD9oT1GW277dM8+Ap6f1Menp8PPPcOiQg7EKUYxkV04+\nya4c4Uxm1cwr619hxq4ZZGRnYL75TP/p36ByI4uxbwJjiz5E4Qz/oE3tZNkYF3RjrHfeQ1atgsGD\n4do167fy9ISXX4Y333QoUiGKnezKEaIYmRQT797zLseeO0bn8M63OgyemnyHnDhcYp3Bvi3CZmw+\nNTl3Dsx2rEnJyoKTJ+14TSHciCQmQjhJlYAqjOsw7lbDb/p1JgnAwaILSTjTTuxLTK6iHSttRYUK\nWsl6Wzw8oGpVO15TCDciiYkQTtS6emu8TDcqZV1Ogr+36cbon6MIt2PjsVjXrvY9MfHygoceck5I\nQpQUkpgI4UR+Xn5EVou81WAwnTMfhw+qFa6glZ3j/IG2Nob4w8iR2n+tCQuDxo3tfF0h3IQkJkI4\n2V01bysX+vsiyM606D+Bw2fBCVfQDAi3Y1waEGN72JQpcM89UKZM3mNU1b4nK0K4E0lMhHAyi8Tk\n+gX4a51uzPdFGI9wotmAlUQC0B6HGdU9ycXTUzt5eM4caNUKlNxF3NBqmSxd6niYQpRkpTYxkTom\norBEhUZZNhhM5/wPkIrjJVAkEAeEAQHk/S/ohzfG2WAyaUXUdu2C7Gzo0EE/ZsoU7cmJECWB1DHJ\nJ6ljIgpbw5kNOXT+RmUsL3948R/wtvxVexnQp+hDE86gAlvQquadBL5AX9+kBtoWrPLY7aeftIWx\nua1YAb165S9UIYqD1DERwsVYTOdkpsJhfWEL2Z1TgilAB2AMMAOYZjDmBPCMY7ft0gXaGiycfeMN\neWoiSg9JTIQoBBaJCRhO56wC/i2acERhGw10Mmiff+OPnRQFxo/Xt+/dC7Gx+YxNiBJGEhMhCoEu\nMTm6HlLOWTSlA7Ku0U2Y0BbGljXoGwEk23+r7t0hMlLfLk9NRGkhiYkQhSC8XDhVA24r2WnOgt8X\n6sbJdI4bqQnMNGi/DAzF7uI1eT012bED4uxYUCtESSeJiRCFQFEUg+kc/SbhDcDpoglJFIWHgP4G\n7XHAJ/bfpmdPaNpU3/7GG/mMS4gSRBITIQqJLjE5sR2/a5ZpiBnQP0cRJZYCfAZUM+h7CXgZbSvx\nbhu3yeOpyZYtsGlTQYMUwrVJYiJEIdElJoD5l3m6NpnOcTPBaOtNcssEpgOvoC2UbQDsy/s2fftC\no0b69smTCx6iEK5MEhMhCsmdIXcS4B1g0ZZ+4BvduD3AkSKKSRSRrsAog3YVyABSgMNAR2C/8S1M\nJhg3Tt8eFwc/2zi9WIiSTBITIQqJp8mTtjVyFaU4f5gauXbngDw1cUtvAh42xlwDHs27+8EHoV49\nfbs8NRHuTBITIQqR0XROxTzOzpGdoG5mA+Bjx7ij5PnUxMMDXntN3x4bq5WxF8IdSWIiRCEySkzO\n7viQ3Oe1/YnN9ZCipNkGpNoxTgV25N09aBDUqaNvnzIln3EJ4eJKbWIih/iJotCmehs8TZ4WbadP\n76FtVppurEznuBl7H4Gp1sd6esLYsfr2Vatgfx5PWoQoLnKIXz7JIX6iKLX5qg27Tlo+d398+A6+\nqtHGoq0y2nlwlmmMKLH+BwwHrtoY54V2IGCbvIdkZkLdunD8uGV7v36wZEmBohSiUMghfkK4MKPp\nnIMbJ+Cd6037D9qyBFF0LqddZuaumTzz4zO8uO5F4o7GOe+Xlt7Y9y9sJvCb9SFeXjBmjL596VL4\nzca1QpQ08sREiEL26e5PeWa15TGzCgrKgKWY6/exaH8UmFOEsZVWqqoyadMk3t72NibFRGqmthgk\nwDuAYL9gVg5cSdMqBqVXHbUYGILttSaewBrg7ryHpKdDRAScOGHZPmAALFhQoCiFcDp5YiKEi0q+\nksxrG/TbKlRUzAfn6tqXABeKIK7SbmzcWN79+V3SstJykhKAaxnX+PvK37Sf1Z7D5w8X/IUeAL4F\nygOBoFv1fFMWcD9Wn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}, { "output_type": "stream", "stream": "stdout", "text": [ "CG\n", "Warning: Maximum number of iterations has been exceeded." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Current function value: 3851.748082\n", " Iterations: 200\n", " Function evaluations: 478\n", " Gradient evaluations: 456\n", "TNC\n", "Optimization terminated successfully." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Current function value: 3851.737228\n", " Iterations: 18\n", " Function evaluations: 19\n", " Gradient evaluations: 508\n", " Hessian evaluations: 0\n", "L-BFGS\n", "BFGS" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Warning: Maximum number of iterations has been exceeded." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Current function value: 3900.870018\n", " Iterations: 50\n", " Function evaluations: 84\n", " Gradient evaluations: 84\n", "PYTRON\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Bg/TSnj59moEDB+Ll5YWVlRXlypWjX79+/P3330blSEhIoGfPnjg7O2Nvb09Q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\n" }, { "output_type": "stream", "stream": "stdout", "text": [ "CG\n", "Warning: Maximum number of iterations has been exceeded." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Current function value: 1206599.572756\n", " Iterations: 200\n", " Function evaluations: 860\n", " Gradient evaluations: 574\n", "TNC\n", "Optimization terminated successfully." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Current function value: 3856.768202\n", " Iterations: 19\n", " Function evaluations: 21\n", " Gradient evaluations: 515\n", " Hessian evaluations: 0\n", "L-BFGS\n", "BFGS" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Warning: Maximum number of iterations has been exceeded." ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", " Current function value: 3900.796308\n", " Iterations: 50\n", " Function evaluations: 100\n", " Gradient evaluations: 89\n", "PYTRON\n" ] }, { "metadata": {}, "output_type": 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jf6DuXvvhhx9Su3ZtHB0dKVmyJHXr1mXKlCkmGTwvXLjAkCFD8Pb2pkSJEnh7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\nJYaPHH755RdycnIqvp8zZw4AzzzzDHl5eRbj72ybPn06APPnz6+07Pn16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} ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }