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PRML/notes/BayesRegression.ipynb
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{
"cells": [
{
"metadata": {
"ExecuteTime": {
"start_time": "2018-08-09T06:21:47.602989Z",
"end_time": "2018-08-09T06:21:52.982942Z"
},
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "import numpy as np\nimport matplotlib.pyplot as plt\nfrom scipy.stats import multivariate_normal\nfrom IPython.display import clear_output",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2018-08-09T06:21:54.256833Z",
"end_time": "2018-08-09T06:21:54.263993Z"
},
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "class BayesLinearPolynomialRegression(object):\n def __init__(self, M=3, alpha=1e-2, beta=1):\n self.M = M\n self.alpha = alpha\n self.beta = beta\n\n def polynomialize(self, x):\n phi = np.array([x**i for i in range(self.M + 1)]).T\n return phi\n\n def fit(self, X, t):\n phi = self.polynomialize(X)\n self.w_s = np.linalg.inv(self.alpha * np.eye(phi.shape[1])\n + self.beta * phi.T.dot(phi))\n self.w_m = self.beta * self.w_s.dot(phi.T.dot(t))\n\n def predict(self, x):\n phi = self.polynomialize(x)\n t_m = phi.dot(self.w_m)\n t_v = 1/self.beta + np.sum(phi.dot(self.w_s) * phi, axis=1)\n t_s = np.sqrt(t_v)\n return t_m, t_v",
"execution_count": 2,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2018-08-09T06:37:05.965744Z",
"end_time": "2018-08-09T06:37:05.977418Z"
},
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "def sin(x):\n return np.sin(2 * np.pi * x)\n\n\ndef generate_data(func, noise_scale, N):\n x = np.random.uniform(size=N)\n t = func(x) + np.random.normal(scale=noise_scale, size=x.shape)\n return x, t\n\n\ndef display_predict(truefunc,\n X_train,\n t_train,\n X_test,\n t_test_m,\n t_test_s,\n text=None,\n name=None,\n show=True):\n clear_output(True)\n fig = plt.figure(figsize=(8, 6))\n plt.fill_between(\n X_test,\n t_test_m - t_test_s,\n t_test_m + t_test_s,\n color='r',\n alpha=0.25)\n plt.plot(X_test, truefunc(X_test), label='Target Curve', c='blue')\n plt.scatter(\n X_train,\n t_train,\n facecolors='none',\n edgecolors='black',\n label='Observated Points',\n alpha=0.6)\n plt.plot(X_test, t_test_m, c='r', label='Predict Curve')\n if text is not None:\n plt.title(text)\n plt.xlabel('$x$')\n plt.ylabel('$t$')\n plt.ylim((-1.75, 1.75))\n if name is not None:\n plt.savefig('{}.png'.format(name))\n if show:\n plt.legend()\n plt.show()\n\n\ndef display_predict_with_lines(truefunc,\n X_train,\n t_train,\n model,\n linenum=3,\n text=None,\n name=None,\n num=200):\n X_test = np.linspace(0, 1, 200)\n t_m, t_s = model.predict(X_test)\n display_predict(\n truefunc, X_train, t_train, X_test, t_m, t_s, text=text, show=False)\n w_m, w_s = model.w_m, model.w_s\n func = lambda x, w: sum([_w * x**i for i, _w in enumerate(w)])\n for _ in range(linenum):\n w_sample = multivariate_normal.rvs(w_m, w_s)\n plt.plot(\n X_test,\n func(X_test, w_sample),\n linestyle='--',\n c='purple',\n alpha=0.5,\n linewidth=1)\n plt.xlim((0.0, 1.0))\n if name is not None:\n plt.savefig('{}.png'.format(name))\n plt.legend()\n plt.show()",
"execution_count": 9,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2018-08-09T06:37:06.104263Z",
"end_time": "2018-08-09T06:37:06.349215Z"
},
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "%matplotlib inline\nX_train, t_train = generate_data(sin, 0.15, 10)\n\nmodel = BayesLinearPolynomialRegression(M=9, alpha=1e-3, beta=5)\n\nmodel.fit(X_train, t_train)\n\ndisplay_predict_with_lines(sin, X_train, t_train, model)",
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 576x432 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2018-08-09T06:37:08.433909Z",
"end_time": "2018-08-09T06:37:08.482535Z"
},
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "class BayesLinearPolynomialRegressionWithEvidence(\n BayesLinearPolynomialRegression):\n def __init__(self, M, alpha, beta, iter_num=100):\n super(BayesLinearPolynomialRegressionWithEvidence, self).__init__(\n M=M, alpha=alpha, beta=beta)\n self.iter_num = iter_num\n self.isnan = False\n\n def fit_1(self, X, t):\n phi = self.polynomialize(X)\n lamb, u = np.linalg.eig(self.beta * phi.T.dot(phi))\n lamb = lamb.real\n self.gamma = np.sum(lamb / (self.alpha + lamb))\n self.w_s = np.linalg.inv(self.alpha * np.eye(phi.shape[1]) +\n self.beta * phi.T.dot(phi))\n self.w_m = self.beta * self.w_s.dot(phi.T).dot(t)\n self.alpha = self.gamma / (self.w_m.T.dot(self.w_m))\n N = t.shape[0]\n self.beta = (N - self.gamma) / (np.sum(\n np.square(t - phi.dot(self.w_m))))\n if np.isinf(self.alpha) or np.isnan(self.alpha) or np.isinf(self.beta):\n if not self.isnan:\n self.isnan = True\n print(\"[W] alpha or beta value is inf\")\n return\n Emn = 0.5*self.beta*np.sum(np.square(t - phi.dot(self.w_m))) +\\\n 0.5*self.alpha*self.w_m.T.dot(self.w_m)\n A = self.alpha * np.eye(self.w_m.shape[0]) + self.beta * phi.T.dot(phi)\n detA = np.linalg.det(A)\n if np.isinf(detA):\n if not self.isnan:\n self.isnan = True\n print(\"[W] |A| is inf\")\n return\n self.evidence = 0.5*self.M*np.log(self.alpha)+0.5*N*np.log(self.beta)-\\\n Emn-0.5*np.log(detA)-\\\n 0.5*N*np.log(2*np.pi)\n\n def fit(self, X, t):\n for i in range(self.iter_num):\n self.fit_1(X, t)\n if self.isnan:\n print(\"[W] fit may failed\")\n return",
"execution_count": 11,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2018-08-09T06:38:50.005907Z",
"end_time": "2018-08-09T06:38:50.010645Z"
},
"trusted": true
},
"cell_type": "code",
"source": "X_train, t_train = generate_data(sin, 0.3, 25)",
"execution_count": 22,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2018-08-09T06:39:10.675219Z",
"end_time": "2018-08-09T06:39:11.018815Z"
},
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "model = BayesLinearPolynomialRegressionWithEvidence(4, 1, 1, 100)\nmodel.fit(X_train, t_train)\n\ndisplay_predict_with_lines(\n sin,\n X_train,\n t_train,\n model,\n text=r'$N={:d},M={:d},\\alpha={:.3f},\\beta={:.3f},\\log E={:.2f}$'.format(\n X_train.shape[0], model.M, model.alpha, model.beta, model.evidence))",
"execution_count": 26,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 576x432 with 1 Axes>",
"image/png": 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HfgKs3UzPCiF+QVUZ1m/UNO26pgMIzWYs3aTuRz09s1lojsdka5fJs16ohx1pFTT0eSal/LcQohhYIIQo79XihCqav0XqR4Jr9aCrMDSbKe+GJy2DTzUHzfGYbO1SeSaEGCOl/KSa1a5r+jzTmgIdQGiapmmaVmf6aZyapmmaptWZDiA0TdM0TaszHUBomqZpmlZnOoDQNE3TNK3OdAChaZqmaVqd6QBC0zRN07Q60wGEpmmapml1pgMITdM0TdPqTAcQmqZpmqbVmQ4gNE3TNE2rM/0wLQtvb28ZFRXV2Mlo1goLC3F2dm7sZDRrOo9tT+fx1aHz2fa2bt16TkrpX9/1dQBhERwczJYtWxo7Gc1acnIyiYmJjZ2MZk3nse3pPL46dD7bnhDi6JWsr6swNE3TNE2rMx1AaJqmaZpWZzqAsMjLy2PChAmsXLmysZOiaZqmadc83QbCws3NjcWLFzd2MjRN0zStSdABhKZpWhNSWlpKWloaRUVFjZ0UmxJCkJqa2tjJaPKcnJxo0aIF9vb2Db5tHUBomqY1IWlpabi7uxMeHo4QorGTYzMFBQW4uLg0djKaNCklGRkZpKWlERER0eDb120gNE3TmpCioiJ8fX2bdfCgNQwhBL6+vjYrrdIBhKZpWhOjgwettmx5rugAQtM0TdO0OtMBhKZpmnbdklI2dhKaLB1AaJqmaQ3io48+ol27drz++uuMGzcOIQSvvfYaL730EqGhofzxxx+Nmr5FixYxefJk5s2bxzPPPIO3tzfPP/98o6apKdO9MDRN07QGkZOTw7p16/Dz8+PAgQOsWrWKF154AYCBAwdy8uTJRkvb5MmTMZlMzJ8/3zrt0UcfZdGiRY2WpqZOBxAW5SNRDhkyhCFDhjR2cjRN05qcCRMm4OTkBICdnR12dhcuMd27d6egoMBm+/7tt99ISUnhscceu2je5s2b+eCDDzh27Fil6QkJCUyePNlmaWrudABhoUei1DStKZoyBZKTbbuPxESYN+/yy5UHDzUxmUxMnjyZnj17smTJEj777DOcnZ2ZOnUqaWlphIWFsW3bNn799Vfmzp2Ln58fKSkprFmzhr/97W+MGjWKnJwcZs2aRdeuXdm5cyevvPIKubm5vPzyy3h6epKRkcG0adNwdHS07nfFihV06dIFb2/vi9IUFRVFcXExU6dORUrJggUL2LBhA+PHj2f16tWEhoZelL6nnnqKUaNG8fXXX9OnTx/Gjh1Lly5deOGFF1i/fj3Lli0jMjISg8HApEmT6pzfTYUOIDRN07SrYt26dSQkJHDffffx7bffsnPnTnr16sXYsWO57bbb2L59O/7+/uzevZulS5eybds2pJSEh4czatQoAGbMmEHPnj156KGH+OCDD3jnnXeYNWsWN9xwA+Hh4YwdO/ai/aanpxMcHFxjuhwdHbnrrrtYsmQJAL1798bHxwez2YzRaLwofc7OzixZsgRHR0e8vLyIjY3lhRdeICcnh4cffpht27bh7u5O3759GTx4MGFhYTbJz8amAwhN07QmrDYlA9eKoUOHArBx40ZSU1MpKSkBwNvbm7i4OFq2bAmAu7s7WVlZlJWVUVBQQExMjHUby5cvJyQkhHnz5nHmzBm8vLwuu9/AwECSkpIuuUzVoZ4rvq+aPoD77ruPTz75hMTERIKCggBISkrCaDTy/vvvAxAWFsa5c+d0AHEtEUL4AZOBVlLKBy+x3Bzg2QqTTECIlPKMjZOoaZqmVZGamsorr7zC1KlTadeuXaV5FS/YLVu25LXXXuPZZ5+lTZs2fPzxx9Z5xcXFPPXUU9VWR9Rk2LBhzJkzh2PHjlUKAgD2799vnVaxS2fV7p1VA4zBgwfz5JNPEhcXx8MPP2xNW2xsLFOmTKl12pqyJteNUwgRhwoeRgABl1sciKjwaqmDB03TNNsrLS3FbDZXmrZgwQK6du1K165dKSoqss43mUwXXbBfe+015syZw6OPPkpISIh1ev/+/fnqq6+s71NSUgBwdXUlIyOj2rR07tyZxx9/nLvvvpu0tDTr9AMHDvCf//wHR0dHXF1drY0sc3Nz2b9/vzVN1aXPzc2Nm266iY0bNxIaGgqoqo/t27dz5oy6zJw/f5709PRa5ljT0+RKIKSUe4C/CjU+Z5fLLG6SUh6xfao0TdO0cufOnePtt98mPT2dN954g6effhonJyduv/12XnrpJUpLS3FxceHDDz+kc+fOLFu2jKNHj7Jz507at28PQExMDBERETg7O+Pv78+LL75I//79eeedd5g4cSLJycm4ubkxbtw4QFWPPPTQQ5SWljJhwgR8fHwqpemtt95iwYIFDB8+HE9PT3x8fEhISLCOA9GpUyc8PT0ZOXIkbdu2JSIighUrVjBlypRq0wcwYsQITCaT9b2fnx/vvfceY8eOJTY2lqCgIKZPn27r7G40oqmOwiWEeAnoIaUccIll/ldKObM220tISJDlkaxmG8nJySQmJjZ2Mpo1nce219h5nJqaSnx8fKPt/2o4cOAA06ZNY9myZRgMBvbu3cvYsWPZuHFjYyetSarpnBFCbJVSXu5GvEZNrgqjjkKFEH8RQswWQmwQQtQYbGiapmnXht27dxMcHIzBoC5RoaGhhIeHN26itIs09xKI+cDTUkqzEKIHsAaIkFKeq7qsl5eXFELg5uaGu7s7I0aMYMSIETZL//UoIyMDX1/fxk5Gs6bz2PYaO4+FEERHRzfa/q+GsrIyZs2aRVRUFP7+/hw8eJD777+fFi1aNHbSmqSK7Tkq6tix4xWVQDS5NhB1IaV8ssL/vwshTgP9gSVVlw0JCUFXYdhWYxf9Xg90HtteY+dxamoqLi4ujbb/q2XOnDnXxXFeDQ4ODjap9mruVRhVnQNq3/dH0zRN07RqNeUAQlxyphAthBA3VJkcBBywXZI0TdM07frQlAMIV8C54gQhxBtCiLssb4cCK4UQHpZ53YAi4KermkpN0zRNa4aaXBsIy/gP04B7gQAhxP8Bc6WUR4GBQAmwHFgEuAALhRApQDQwVEpZ2jgp1zRN07Tmo8kFEFI1Jf2H5VV1XrsK/5urW0bTNE3TtCvXlKswNE3TtGbu+++/p3379tZhpm2pqQ5r0Fh0AKFpmqY1iI0bN9KnTx+Cg4N5++23mTt3LsOHD2fdunX13ubAgQNxcHCwPjfjL3/5C6+++uoVp3XRokVMnjyZefPm8cwzz+Dt7W0d1lqrnSZXhWEreXl5TJgwgSFDhjBkyJDGTo6maVqT07NnT0aPHs1PP/3E008/DcCNN95Iv379OHfuHEajsV7bdXNzs/4/fvx4VFO4+ps8eTImk4n58+dbpz366KMsWrToirZ7vdEBhIWbmxuLFy9u7GRomqY1aQ4ODpUefR0XF0dWVha5ubl4eXld8fYjIyMvu8xvv/1GSkoKjz322EXzNm/ezAcffHBRlUhCQgKTJ0++4vRdT3QAoWma1pRNmQLJybbdR2IizJtXr1Xfffdd+vXrx59//smzzz7LmDFjmDt3LosWLaJfv3689NJL+Pn5cezYMcaNG0dsbCxFRUVMnTqVhIQEsrOzrY/gPnHiBM8++yyJiYnMnKmekzh//nyKiorYvn07nTt3ZtSoUbz88st4enqSkZHBtGnTcHR0tKZnxYoVdOnSBW/vi8cUjIqKori4mKlTpyKlZMGCBWzYsIHx48ezevVqQkNDmTp1KmlpaYSFhbFt2zaeeuopRo0axddff02fPn0YO3YsXbp04YUXXmD9+vUsW7aMyMhIDAYDkyZNqlceXqt0AKFpmqY1qD179vDuu++Sk5ODr68vy5Ytw8XFhcDAQI4ePcru3btxdnbm888/5+jRo7z00kscOnSISZMmsXr1ambPnk1ERARPP/00Uko++OADQD1Uq1evXmRkZACwfv16kpKS+PTTTykoKGDNmjUEBwdzww03EB4eztixYy9KW3p6OsHBwTWm3dHRkbvuuoslS9QTD3r37o2Pjw9msxmj0cjYsWO57bbb2L59O/7+/jg7O7NkyRIcHR3x8vIiNjaWF154gZycHB5++GG2bduGu7s7ffv2ZfDgwYSFhTV8hjcSHUBomqY1ZfUsGbCluLg4nnjiiYume3t7069fP5yd1RiAy5cvx8HBgXnz5lFWVoa/vz+gel7MsxyXEIJWrVpZt+Hu7m4NIFauXEn37t0BcHFx4c4777xs2gIDA0lKSrrkMhWrYKq+9/b2Ji4ujpYtW1qn3XfffXzyySckJiYSFBQEQFJSEkajkffffx+AsLAwzp07pwMITdM0TauPihfj4uJi7r33XoYNG1ZpmZKSklp1qSwuLqa4uLhO+x82bBhz5szh2LFjlYIAUE+tLJ9Wcf9V01I1wBg8eDBPPvkkcXFxPPzww9a0xcbGMmXKlDqlrynR3Tg1TdO0BlNaWmrtclmVyWSqdDHu378/X331lfV9+RORb7nlFn76ST11wGw2c+jQIet6Fdfv168fX3/9tXV/O3bsAMDV1dVaSlFV586defzxx7n77rutbSsADhw4wH/+8x8cHR1xdXW1NrLMzc2t9DjsqscAqhH+TTfdxMaNGwkNDQVU1cf27ds5c+YMAOfPnyc9Pb3mjGuCdAmEdtUVFxdz8OBBHB0diYyMvOIuWZqmXRv279/PihUr2LFjB19//TUjRoywzjt8+DA7duxg9erV9O7dGwcHBx599FH27dvHmDFjCAkJoW/fviQkJPDyyy8zYcIEZs2aRVBQEC1btmTFihWMGzeO1atXk5mZyalTp7jjjjtITk5m+PDhtGzZkoEDB9KhQweGDh3KQw89RGlpKRMmTMDHx6dSOt966y0WLFjA8OHD8fT0xMfHh4SEBOs4EJ06dcLT05ORI0fStm1bIiIiWLFiBVOmTGHZsmUcPXqUnTt30r59e+s2R4wYgclksr738/PjvffeY+zYscTGxhIUFMT06dNt/AlcXUKPvKUkJCTI8uhXs43k5GQKCwv54osvCA0NJT8/n7KyMiZNmkRISEhjJ69ZSE5OJjExsbGT0aw1dh6npqYSHx/faPu/WgoKCnBxcWnsZDQLNZ0zQoitUsou9d2uLoHQrpr8/HyWL1/OjBkzCA4ORkrJpk2bePfdd3n11VcxGHSNmqZpWlOhf7EtykeiXLlyZWMnpdlKT0+3DnMLqnV1jx49cHNzY+/evY2cOk3TNK0udAmEhR6J0vYqdtOqyNPTk4KCgkZIkaZpmlZfugRCu2q8vLzYtGlTpRbM2dnZ7N+/n+jo6EZMmaZpmlZXugRCu2r8/f0xGo3MmzeP3r17k5+fz9q1axkwYAAeHh6NnTxN0zStDnQAoV01QgieeuopNm3axPbt23F0dOSBBx4gLi6usZOmaZqm1ZEOILSrys7Ojt69e9O7d+/GToqmaZp2BXQbCE3TNE3T6kwHEJqmadpVs2rVKhITEzl06FBjJ6XOcnNzmTBhAk8//XRjJ+WaoAMITdM0rUElJyczefJk3nzzTWbPns1jjz1mfbbFoEGDOH36dI3Py7iWubu7M3ToUHJyci6a98MPP9CuXTvi4+N59913eeONNxgxYoT1+RyXMmbMGP7973/bIsk2pdtAWJQPJDVkyBCGDBnS2MnRNE1rcKWlpZw+fRp3d3e8vLxsso+NGzcydepU1qxZg5ubGwCFhYWMGDGCzMxM7r77bpycnGyy76uh/JiqGjBgAL/++ismk8n6KPMvv/ySMWPGsGvXrktuc+bMmQQGBjZ4Wm1NBxAWeiApTdOas19++YUVK1bg5eVFVlYW0dHRPPTQQw3+vIkJEybwxhtvVLrQOjs7M3/+fHr06MGgQYMadH/1ZTabefrpp/n73//eYN3IHRwcKCsrs76Pi4vj+PHjl12vXbt2tdp+bm4u06dPZ9GiRfVOY0PSAYSmaVozt3v3blavXm290y0tLeWLL77g3//+NxMnTmyw/Rw8eJDU1FRuv/32i+ZFRkbi7e1NUlISAMuWLeP48eOkpKTwj3/8w9ouYuHChYSFhbF69WpWrVoFwMKFC8nOziY/P5+BAwfSq1cv/vWvfzF79mxee+01Jk+ezJdffsnYsWMZNmwYb775Ji+//DLbt2/ns88+48eOPjrNAAAgAElEQVQffyQlJYWcnBxat27N+PHjWbt2LUuWLCEoKIj4+HhGjBhBSkoKCxcupEOHDpw+fZoXXngBgLVr1/LNN98QHx/Phg0bsLO7/KXTZDKxaNEi7r33Xuu0f/7znxQWFmI2mwkICGDMmDHs2bOHadOmcf/99zN69Gjmzp3L0qVLGT16NBs2bCA9PZ1vvvkGZ2dnFi5cyOrVq3nttdcYMGAAUVFRvPTSS7Rp04aPP/6YDRs2NMTHWHtSSv2Skvj4eKnZ1vbt2xs7Cc2ezmPba+w8TklJqfM67777rkxKSqo0rbi4WD7zzDMyKyuroZIm169fL0NCQmqc37NnT7lkyRLZqlUruXr1aimllElJSbL893fu3LlywYIFUkopf/75Z+v8W265RUopZUFBgWzXrp2UUkqTySS9vb3lt99+KwsKCqSUUr711lty5syZ1v9PnjwppZTy3nvvlTk5OXL//v3y9ttvt6anVatW1v/Lyspk27Zt5eHDh6WUUj7wwAMyKSlJZmRkyJiYGFlUVCSllPKDDz6QDz30ULXH9+KLL8rbb79dzp8/X77yyivy008/laWlpdbjeOCBB6zL9u3bV/75559SSimnTp0qP/zwQymllDk5OdLR0VEePHhQSinlgw8+KJcuXSqllPLw4cOyT58+1m0sXbpUzpgxw7r9mtR0zgBb5BVcN3UJhKZpWjOXnZ1NQEBApWkODg54eHiQm5uLp6dng+wnKCiIrKwszGZztU/XPXHiBEFBQQAkJCQA0LNnT06dOsW5c+cYMGAAffv2JSkpieeffx6AFStW4OLiwrx58wAIDw+nrKwMOzs7PDw86NevH/b29gCMHDmSXr168fe//53Tp09bH9z3+eefk52dzddff01JSUm1ad+/fz/p6eksX74cABcXF7Kzs/n999+Ji4vD0dERgIiICH755Zca86Bbt27WNhAVrVixgs6dO1vfd+jQgdWrV9OmTRvc3d2t093d3QkICCAyMtK6v+zs7Gr31bt3b5599llSUlKYPXt2jWmyFR1AaJqmNXPR0dFs3bqVqKgo67STJ0+Sl5dnvaA3hKioKCIjI1m/fj033XRTpXkpKSkUFxfTq1evi9YzGAw4ODgQHx/Pnj17mDNnDrfeeiuHDx+muLiYW2+9lSlTpgBY/5YrDx4AQkJCCAsLY+7cuXTo0ME6/fnnn8fLy4vBgwfz/fffV5v24uJigoODL9r+8uXLG6THSHFxcaX3RqOxUtorqi74qk5AQAC7d+9m4cKF9OnTh927dzfo53k5uhunpmlaM3fbbbexbds2/vOf/7B//342bNjAO++8w5133lmr+vy6WLx4Mc8//zyZmZnWaWVlZUyfPp13333X2gPj2LFjgGqfER0djYeHB6tXr8bT05PXXnsNDw8PCgoK6N+/P0uXLrU+hC81NdX6v8lkqvRwPoB77rmH119/nTvvvBOAjIwM5s+fz/Tp0zEajZWCAVdXVzIyMgCIj48nLy+PlJQUQPUcOXz4MD169CA5OZm8vDxAlVRU3We50tLSGoONAQMGsG3bNuv77du3069fP4BK26t6TGaz2brNiukF1TbD3t6eZ555hu7du5Oenl7tvm1Fl0BomqY1c15eXjz33HP89NNPLF26FE9PTx588EHi4+MbfF89e/bk7bffZtasWYSEhODi4sKxY8eYPn06N998MwBDhgxhzZo17Nixgy1btvDxxx8DkJmZyYwZM4iMjOTee+/Fy8uLAQMGsGPHDu655x7Cw8Pp0qWLtTHj2bNn+eabb6zBAsCwYcPYtWuXtXeJl5cXnTt3ZuLEiURERJCbm8uaNWu4/fbbeeSRR3j00Ue55557GDVqFF988QXTpk0jNjYWT09PZs6ciYuLC2+//TaPPPIIHTt2pLi4mH379nHo0CFrNQOogGDt2rUUFBTQt29fbrvttkr50r9/f3bv3s2CBQvIzMxk3LhxxMbGcvr0adavX8/BgwcZPnw4a9euJSMjg40bNxITE8OmTZvYu3cvI0eOxN/fn9jYWCZPnszIkSOxt7fnySefpEuXLrRp04b27ds3+Od5KaKmSOp6k5CQIMsjT802kpOTSUxMbOxkNGs6j22vsfM4NTXVJhf+a01BQUGDdzG9XtV0zgghtkopu9R3u7oKw6J8IKmVK1c2dlI0TdM07ZqnqzAs9EBSmqZpmlZ7ugRC0zRN07Q60wGEpjWQ0tJSDh8+zJkzZxo7KZqmaTbXJKswhBB+wGSglZTywUss5wHMBo4AkcCbUsoDVyWR2nUlKSmJr7/+Gm9vb3JycggMDGTcuHE2e2CRdn2TUiKEaOxkaE2ALTtKNLkAQggRB4wGRgDHLrP4fOArKeU3QogQ4BshRFepu55oDejgwYOsWLGCadOmERISgtlsZtWqVSxevJgZM2Y0dvK0ZsbJyYmMjAx8fX11EKFdkpSSjIwMmz39tMkFEFLKPcBfhfrm1Nj9RAjhDwwDxlnWOymEKAJ6A+uvRlq168P69evp168fISEhgBpFbtCgQSQlJXHy5EnrdE1rCC1atCAtLY2zZ882dlJsqqSkBAcHh8ZORpPn5OREixYtbLLtJhdAVFB2mfk3AIellKUVpqUCd6ADCK0B5eTk4OfnV2mawWDA19eXnJwcHUBoDcre3p6IiIjGTobNJScnXxfjXTRlTTmAuJwI4FyVaRmA/jVvwsrK4Px5KCq68CouBkdHcHdXLw8PuJo3LjExMWzevLnS2PsZGRmcOHGCVq1aXb2EaJqmXUXNOYBwBUqrTCsBfBshLdc0KSXnz5/H2dn5mhj5zWyGQ4dg2zbYvl39f/y4ep06BSbT5bfh6gqRkRdeUVGQmAidOoGzc8Om98Ybb+SNN97gww8/pHv37mRmZvLdd98xaNAgnBt6Z5qmadeIJjuUtRDiJaCHlHJADfOnAwOllH0rTJsNREkpR1Zd3svLSwohcHNzw93dnREjRjBixAhbJf+akZGRwaFDhzCbzZhMJnx9fWndujVGo9Em+/L1vTh+KyuDP/90YeNGD7Ztc2XPHhfy8tT+7ezMBAeXEhRUQmCg+uvrW4aTkxlHRzMODhJ7e0lJiaCgwEhenoGCAiPnz9tx4oSD5eVIUZHBsj1JdHQh7drlk5iYT69euXh61iIiuYyysjJOnTpFZmYm9vb2BAUF4e3tfcXbraua8lhrODqPrw6dz7bXsWPHKxrKujmXQBwHfKpM8wEOV7dwSEgI19uzMI4cOcKSJUuYMGECrVu3pqioiC+//JI//viDSZMmNfj+Kj5DICsLli2DVavgp5/Ue4NBlRA88ID626kTtG1rwMHBEXCsdptmk5nSglIMdgbsne0pPF+IucyMMAjsnO1wcHVASjhxArZuhU2bBJs2ufDddy588YU/BgP07g2DB6tXfDw05Ybtjf2chuuBzuOrQ+fzta8pBxCX+5lPAqKEEAYpZfnzVWOBN2ybrKbjv//9L/379yc6OhoAZ2dnRo0axaxZs2wS/ZeUCJYtgyVL4NtvVduFFi1gxAjo3x9uvRV8qoZ8QFlRGbmncsk/k0/+mXxCu4VitDey9b2tmIpN2LvYE9o9lFY3tmLfqn0U5xQjzRIHVwc6PtKRQ2sPcmbXGcI8HYnp6szLL7TGZII/fitm7UZXVn4rmDkTZs6Edu3g4Ydh9GgICGjQw9c0TWtWmnIA4QpUqmAWQrwBJEkpl0spjwkh1qJ6XXwrhAgCPIDVVz+p16bMzEy6detWaZq9vT3+/v5kZWU1WABx6BC88w68/34bcnPVhXniRHWR7tKl8h2/lJKizCKyjmSRdTSL2CGxnD94nhObTuAa4IpboBsOrg7Yu9jT7clu2LvYV+oL3+GBDhftP/zmcEK7hVKUVUTh+UIM9gYKzuXhdHgvtzsXM+wpN5zbRrL2Dw+WfFTG1Kn2zJgBgwbBuHHqr0GP2appmlZJkwsgLOM/TAPuBQKEEP8HzJVSHgUGohpKLrcsPh54QwjREWgB3CelvPIK72aiVatW7Nq1i4SEBOu0rKwsTp8+TXBw8BVtW0r45ReYNw+++QaMRrj11lymTPHmttvAzq7ispL8M/m4Bbpx+OfDnE4+jVe4F94R3kgpCWgTQECbi4sDHFxr19XCaG/E6GnEydMJr1ZqZEjPlp50e6KbKt04mYuLnxPjY4rpkLuZrCEubEjx5fN1AQxd4UJsLEybpqpWbDQei6ZpWpPTZBtRNrSEhAR5vbWByMrKYvbs2fTs2ZOuXbuSkZHB8uXL6dSpE4MHD67XNqVU1RMvvaR6Ufj6qtKGSZPg7NnKdZp5p/M4nXyasylnsXe1p9P4TkizxGBnaLQR9swmM9nHsjm//zyuIZ78vMOHj188zMaD/jj7u/PU04Inn4RrdYRqXW9sezqPrw6dz7YnhNCNKLX68fLyYsaMGfzwww8sXrwYNzc3+vfvf1G1Rm1ICWvWwF//Cn/8obpOLl4MY8Zc6DZ59iyYy8xkHsrEN8aXnLQc7JzsaP9Ae1z9XdVCDd/5o04MRgPeEd54R6geFCOjy+gRbGDD0lR++hn+769RvPWWH7NmwRNPNHyXUE3TtKZCBxDXOV9fX0aPHn1F29i0CaZPh99+g5Yt4b334KGHwN7+wjIl+SWc/eMsv6/9HddAV7zCvQjpcu2P6WXnaEdk3wgibgnnzpO5PLbHyKuvl/Lh9P28/2Yw0171YuxYUalKRtM07Xqgm4Zp9Zaernos9OgB+/fD/Pmwbx+MH38heCgtLFUDVe0/j6nIROLYRDo80AGjQyMXNdSREAKPUA963urKyu8MzF7gSTvH/Sx+dDM94rNYt66xU6hpmnZ16QDCIi8vjwkTJrBy5crGTso1r7QU3noLYmJUl8yZM1Xg8MQTakhpUF0vj/z3CH+88wd5p/MISgwi6KYgXPwqjHRpNqu+nAUFkJMD2dmQmXnhlZWlpufnqzGryy73+JOrw2hvZOikUD4/1JWpC6LJLXHijr5FjBuQxonjuo2upmnXB13wauHm5sbixYsbOxnXvM2bVanD7t0wcKDqZRETU3mZwsxCtr+/He9IbzrdH4ezXREcy1QPsdiwAXJzVVBQWmGk8Us1mrQ09DWVSYyOdmTnGckptKPU4EiZ0YnIfq0pKBQc334O7IwIIQjqGIR3pDcnNp3A3sUeBzcHXPxccPSofkCq+jAYBPdN8ubOsTD7b4WsfCuLB6KPMXhSGE/ODsHBqWmVsmiaptWFDiC0WikqUj0r5syBkBBYsQKGDKl83c89dJaS0+fx8SyjQ2QurqYTsL7CHbmDg+q/aW+vujFcYrhsaZYIg+Dwtkyy0ospyCrB0dWOLoN8KDqXTfHZXOwN2TgayhC/ncSxVBKQUYp0cUV6eeOca4TzUJRRQE5aGSV5JbgGuBJ9RzT7v9+PqcSEW5Abni09cQ92v6K8cXaGV+Y488CEtjzzaB7/mneMZUkm/vmemfi2dghDEx7aUtM0rQY6gNAua+NGeOQR2LNHtW/4xz/A0xMoKYHz5yk7doLD3+3hzL4sWie6ISJccHV2BmefykFCYWGN3RaklGSeLCLjeAFZp4tw83Uk/kY/3Hwc8ApywsXLHgdnIxIIiPUmMN6HshIzZpOkTEoMRoF/uEFViRTmwJ7tsAdaCwH+/tC+Bfj5gtlMUIcgck/lknsyl/MHztN+dHvSd6VTnFOMb7QvLv4u9epGGh0NK9e58dlnCTz5JIzoeohH7szg4dei8IupZohNTdO0JkwHEFqNSktVqcPrr6shp3/8EW7vXQBnzsC2w6oVJbB/awHC1ZluD8ZhX4die2mWZKUXIYTAM9CRE3tycfOxJzTeA4NRcCQ5C/9wF+wdjexck05pkYnSYjPBMW5Ed/dl55p0CnNKEQaBvZORrneGcDilkLTUXOwcDDi6GIm/wRtxJof0X9fj7GrE1dsB1/hw3CNaQdtwa6MNRw9Hco7nsHPJToz2RrpM7KLGpLCv25gUQsD998PNN8P4cRG88aU7O5L38+hUd/pMTLjs+pqmaU2FDiC0ah05oi6EGzfCIw+VMW/6SdxP7oUV5wAwO7ty7KQDoQmexA4wYDDW/iIrzZLju3M4/mc2plKJZ6Ajdg4GEvr4cT6tkKM7s3H2sMfZ3Q4hBHYOBmJ7+WLvZMTeyYDRTrX97TTo4tEywxO9CGvrSVmJmeKCMhxc7SkxGChzM3Mmp4z8o8WEZR0i+NgRUjfl4h4dhEfnaNzbtsLrjmhaD2xNYUYhBjsDR387ysktJ1UD0MQgnL1rP+hDSAis+k7w/vv+TJ3iy0/TC3jHT3JD63QC2gZgsNPtlzVNa9p0AKFd5KuvYPx4idkk+ezlA9wXsw12SnB3h6Ag8jJLSf3lHM7u6vSpbfBQdL6EI2eLsHcyYjZJvIKdKSkow9XbAXc/NSy1f7gr/uGuF63r7le7xo/CILBzUEGHk5tKn7O7gagulasQzCaJb1s3co5lceb9/+LubU/MXQmcynXHOTIYJy8nWt3YCt9oX05tP8WOj3fQ9YmulBWVYe9ij8F4+QBACFXlc+utBu67z4177zExpX8Gw/sdJX5oND6tdbWGpmlNlw4gNKviYnjmaRMLFxvpGp3F54//RmQrE3gGWJ8mVVZiZtdPZ4jo6EVglOtli/ellBRkl7Jp6Qn27skmOtqDyE7eRHTyarThqkEFPYGt3QlsrRpQSpMJzpyhbHsqh5ebybf3IvDGGGLu6UDU7VG0HtAaIQTHk45zauspQruHEtI5BDuny3+FIiLUIFvPPWdk7ltt2Jx2npmZ++g5NgafqPoFEfn5+Zw6dQpfX1+8vb3rtQ1N07QroQMIDYCT+/K4+x7YuNONaYP28PfHjuLg7mGdbzZJzh0rICDClW53hWC0r/kOXJol508UcvpAHkX5Jty87QmNc8dtsC/dAjxqXK8xCaMRvLxoeYsXLUtKKD1znuJzO+G/mezaZcDs7IZ/2wCCEoPwi/XjeNJxtn+wnS6TuoDksj0tHBxg7ly46SZ4+GEfxvxfVz7qYqB3maoS8ov1q1U6pZSsWLGCX375haCgINLT04mPj+fBBx/E0bHhuqhqmqZdjg4gLMoHkhoyZAhDhgxp7ORcPVlZJH2RxoiZUeQW2vPFX3dxT98M4MLFqDi/jN3/PYu9kxG/li41Bg+mMjNGOwO7150lLSUHDHDzQ+HWqoTkwsKrcURXzsEB+xZB2EsJ2dm0884jM9+BsztzOb/3LO0f6khY7zAcPRwRQrDz0504ezvT8saWOLpf+iJ+112QmAh3321k2DB4ZZo9t4Wmcnb3WVoPbI29s/0l11+/fj0pKSm88soruLu7U1payscff8yXX37JmDFjGjIXNE3TLkm35LIoH0jqugkesrMhKYnFz+7l5icScHWR/L5wuyV4uKAgu5Stq07hG+ZM277+F7V3kFKSdbqIXT+dYcs3p8g+U0T22WLCO3rR95EIa/BQK1Kqrh8mk3XwqEYlBHh6YmgRim9LN+LcT9Le7RDs2cOJ9UfY9PYm9n27j9DuoQijYPOCzaT9nnbZzYaHqyqNUaPgr//w5K31XSkTduxbue+y6/76668MHz4cd3dV9WJvb8+9997L5s2bKa04MJemaZqN6RKI601eHuzeTdm+QzzzWTfmfx/FwO4ZLHk+FW/3ykNFm0rNOLvb0eZmfzwDnKrd3JHtWZw5UkBgpAtRXbww2qneFN7BFXosZGfDkSP4HD6s/j93Tr0yMtSIlIWF6lVcXDlwMBrVy9UVPDwuvLy9ITgYgoJUd4fgYMvAFDbk7KxeJSWQnEyswUD4zTGczhVk7M0gZlAM3pHe2DnZIc2SU9tPEdQhqMbeFs7O8MknqjRi5kwj+w5Gs/RrM6UFpZzcepKwXmHVNtTMzc3F19e30jQ3NzcMBgPFxcU2OXRN07Tq6ADielFcrEaCSkkhr8yJ+969nVWb/Jg28jj/O+HgRYNCnkjN4dT+PDoPCa4UPEizJP1QPmkpOXToF0iLNh44udlxaGsmLp4OBLjm45j6J3y1Gw4dgqNH1XMtgJblG/HyAj8/8PVVt+NOThdeDg7qGRkmk3r2hcmkgp7cXPVcjFOn1DjaWVmVE+ztDVFR0Lq1esXEqMErGrqhpoODClxKS3E8spdWQkDbtsjiYk78cYL8M/kEtg8k53gOxzccJ6p/FL4xvtU2GBVCPcW0bVtVGtGjp4HlX5bheiybjL0ZxI+Iv6jraExMDFu2bGHgwIHWaSkpKXh5eeHqenHvFU3TNFvRAURzZzarQR22bQOTiZOGFgx+NZEdB91Y+Mw+Jg49WWlxKSWHtmSSkVZIu9sCKl34cjOK2fPbOYz2BqK6eGPnaGD/j0fI2ryfDkVbcVuerAaZAhUMREaqR3WGh0N4OCn+/iS0aFH5Od/1VViogolTp+DkSRWsHDyo+qCWP3TL2xvat7/wioy09ia5Yvb2EBioqlx27UKkptK+W3tyHcM4vvkUbkFutLyhJftW7cPB1QGPFjU3Hh04EH7/Xf29baADn3/ejsSoNJI/TKbbk90qPbl08ODBzJkzh/z8fNq0acPx48f58ccfefjhhxu1V4umadcfHUA0Z+fOqadfZWaCnx87j3szaFY7svLs+PbvuxjY/fxFqxTllpGfVUrHgUHWUSWz04twcDHi4GQkoqMXvgXHKFqxGrYlEXjgDFHkYvTzgXbtYORIdUsdFaWee1FBSWFhwwQPoOoAIiPVq6LSUjh2DFJTYedO9frlFzXPxwe6d4eePaFzZ3BxuXi7dVUeSJSUwJYtuDs7k9CtMzIkhLISM6YSE2dTz3L+oMrrlje0rLZqIi5ODdo1eDDcdZdgwYIwHpkUhNHByLk951QphkEQEBDArFmzWLduHT/88AO+vr5MnjyZsLCwKz8WTdO0OhDyWmisdg1ISEiQKSkpjZ2MhlFUBLt2qWdse3iAuzu/7vBkyPPtcHc2sWr2Tjq0zq+0itkkST+YR1C0m/VOtji/jINbMsk+U0x8VAleO35Brv2JtJOCY6IVnROKcOrVSZUyRERctrogubCQxBqehWFTp09DcjL88Yd65eerC39iIvTtCzfcAG5uDbOvwkL11FF/f+jcmSI7V45vOM6JzSdw9HDEztGOmCExeIZV32YjLw/uuw9WrYLnnoNXXzGz+/NdmMvMtLmnDQ5uDpfcfXJyMomJiQ1zLFq1dB5fHTqfbU8IsVVK2aXe6+sAQmkWAYSUcOIEbNqk2g74+YHBwMokX0a+nEB4UBE/ztlJWEDlxnZmk2T3f88C0OZm1dPCbJJs/vIIARmptNy5EuO+PZgxsC9yAHlRibQd2xmnkLoNgtRoAURFZWXw55/qdv/XX1VwYW+vgqC+faFXL9XO4Url5Kh2G61bQ7t2FJUYMDgYOPnHSU5uPUmPyT0QRlFttUNZGTz5JPzzn+rR6f9cJEnbcITT20/T4cEOuPjVXHKif3RtT+fx1aHz2fauNIDQVRjNRUEBbN+u2jv4+qo2CMC/VwfyyBtxdIrJ5bvXd+HnWbmrn9kk+fPnMxjtBPE3+ZNztpizW4/S+vBauny/GmNBLkRGIidOQtx8M87pDkTHe1xyIKlrmp2dKnlITISJE1VVx08/wbp1qm+lhwf066fqElq1qv9+LCU/HDsGR4/i1LEjREYS0C6A3JO5JM1NojSvlE6PdrqoNMLODhYuVG01X34ZcnIES5ZE4B3pjZO3E6WFpZcdL0LTNM3WdABh0WQHkpIS0tJUqYOUqluj5a523lcteObd1tzaKZNlr/6Ju4vpotWFAL+WLgSEu3Dwq22c/W4z0cd+BsN5jDf3gbvuIi8khn2/n6e9tx+tApto4FAdISAhQb0ef1w1NF21CpYtU40x27eHIUPUozXt6vFVKX+UeGkpbNkCBw7g0q0b7e5vR9aRLP78/E92frKT0G6hhN8cXqlthBDqSaheXvDMM6owY+lSLwxG2PnFTtyC3Ii6PeqyI2BqmqbZiq7CsGiSVRjFxarU4eBBVV1RYSjjV//dir99GMHwG8/y6QspODpU/pzNJsnepAzC23vgfPBPTv/zGzL3naG1Rzr2w4eqC6ePD+dPFJL62zmiu/sQEHFl3QSviSqM2jh/Hlavhm+/VT08/P1h+HBVKnElbSXKu6LGx6uGpg4OFOcWs+6v6wjrFUbM4BjsXS4uWfjgA3j0UVXLsmoVuDqWkvJlCsIgSLg7odLzOHSxr+3pPL46dD7bnm4D0UCaXABx9iwkJakgwt/fWuogJbz4YTiv/r9wHux3mvdn7MXOWPkzlmZJ6m/nKN13CJf1P+J1bBd+PmbEqPtg0CDVwwH14KytK08Sd4MfnoHVDyRVF00mgChnNquSnS+/VIGaszPccYfqaRIQUP9tnj2r2ll07w4hIZQWlnLkv0f48/M/ibsrjvhh8Ret9tVX6vHqbdvCmjXg4y05uOYgge0DcQ92ty6nf3RtT+fx1aHz2fZ0G4jrjdms6u2Tk1X5doURGKWEv/wrgtc/bcW4O06xeNreaoc9OLhqD7lL12E4cgQ7Dzu8nhiNGDqwUuPB7PQiPAIc6XpXaK0f193sGAyqy2fPnrB/vwokli+HFSvUoA33368aKtR1m4GBqrfGunXQujX2HToQPTAa9xB3UpemIgyCFj1a4BZ4obTj7rvVgJzDhsFtt8HatYLW/VsDcPjnw/jG+F5yrAlN07SGpgOIpqSwUN0RnzypLlwVho+UEqYviuLNL8KYOPQE707ef1HwIDMy4MOPCPruF/Lt4/Af1o3gx4YgqjzFMS0lh+O7c+g8OBgH5ypDVDYkKS+MNln+/Auz+cJw1kKoC64QF4a1trNr+NElayM6Gv7yFxg3Dj79FL77Dr7/Hvr3hzFj6h5IODur9irHjqmeMz16ENQhBL84P3Z+spP1r68n7s44Wt54YWE4sdUAACAASURBVNyIgQNV7HLnnXDrrbB2raq5cg91Z9enu4gdGmuDA9c0TauersKwuOarMM6eVd0OQfWyqEBKmLoginlfhfHksDTefupA5WusyQTLl3N48RpOlvnTbUgQdmNHI7y8LtrNkeQs0g/l06FfYN0ehFUTk0mNS1FURLKUJJaVqQCg/LxzdlYlH+Uvo/HCaJEVh7QuLlavoiI1XQj1MptVUOHoeGEo7KvhzJkLgYSU6qr+wAP1eyZH+dgRMTHQoQPS3p6i7CK2Lt5KaV4pN8y6AXtne/Ly8igrK2PTJk/uugtCQvIYMuT/KCk5SSufVsSVxeF/kz+97ujV8MerWemi9atD57Pt6SqM5k5KNSDUli1qaOYqoydKCc8tjmTeV2FMufs4cx8/WDl42LsX3nyTY/sL+cNrEAn3J2K4KwZRTTdMKSVmk6TjwKD6lzwUFqqBmkpLL5Qc+PpCaKgaJSkmRl3oHR3Vxb6upQnlpRblwURRkWqYmJGhLsLnK4yu6eysyv3r04PicgICYMoUGD0aPv5Y9dz44Qc1CtTdd1u70daKs7N6INihQ3DqFKJXL5z9/Gg/pj1bFm5h9/e7+Xnnzxw7fwyDnQFfX18mTuzI/Pm3s3r1DH7+WXDixA4+//hzhroOpSi7yPqocU3TNFvRJRAW12QJRGkpbN0KBw6oIvJqLoQvfRTOyx+H8/idJ5g/ef+F63F+Pv+fvfMOj6pM+/B9piWT3ntCGgECoUmvgqIgAqugC+qqa8FPXVddy6qIBRR7XxWwt7XhLiu6roAI0jskkAQSQkjvfZLMZGbO98ebkF4gIVLe+7pyKTPvnDLJzHnOU34/PvgAVq+mwj2EH3z/zKhbBxM92rvVNgByj1bi5uuAs+cp3sFbreIC3uAE6eEhggVfX6GD4Ox8MkjolTsKi6Vx2iEvT3hlNByb0SiOqaVzWE+Qng7vvScaW318RKnjsstO3Xujqko4lg4ZAgMGUFtdx/N/ep4gYxBDJgwhdm4sB1MPcu+99/LAA//l1lv9GTAANmyAAwc2kpeXx0D7QPTOevrN6ifHPM8A8s64d5Dv85lHZiDOV0wmIWxUXi4uyG3cTT73RRhPfxLOrVfk8tZfmwQPBw7A88+j5hdQMu1avO65nitMOjwC2p6AyE2pJP1gOcNmdLGOb7GI47LZhIpjWJhwvvT0PLU77zOBwSAyHt7eQl5bVcVFubRU6GVkZ4ugR6cTYk8t+j9Om/BwePZZISH+zjvwwguwZg3cc48wuugqLi4i0ElIgLw8jrm7Yxhp4Ob7bib/YD573tlD4LRAgoOD8fE5yL/+dRlz5ojhkI8+6suxY8eI/VMsh746xOFvDxM7N7ZdS3GJRCLpDjKAOBspKhIGUIoiOvbb4PVVITz2fiTXX5rPir/VT1uYzfD++7BqFbagEA7f+BLH8py4XHXAI6DtzELBcRPH95cx9PKAjnse7HZhoW02i4t0v34isPH07DmHyzOBooisg6urCHRsNnEeOTlw/LgoeWi1InPSE/0TcXHw9tuwdi2sXCkEqmbMgNtuE+9VV9BqRUmjpISSrVsJcXfH4GzA2c8ZRavg5OiEg+LAiZQT3H43fPWVmCxdsMCJe+91RWvQEnddHEd/PEptWW2H0tcSiURyupzF3/y9S4MS5Zo1a37fAzlxQgz6G43CPbIN3v8xkPvfjmbe5AI+fiRZZOSPHIGFC2HVKupmXcWBq58hq8KNgRf74eTW/oXR0UXHkGn+OLm3I41cWyvKAAUFYmrgkkvELOHgweIu/2wOHtqioScjLk6IZc2YAQMHNtqDFxeLIKM7aDQwfTp8+ilcc40QpbrxRiFMZbd3fTteXoRHRpL4yy9Yd+3CK9yNYX8eRubGTALKAzjyxREObTzE7NlWnnrqOPv3u7N8+aVYLKDRaeg/pz9GbyMnNp+grqau8/1JJBLJKSB7IOr53XsgVBUOH4aDB0X/QDt3w//e7MO8pwZy2YgS/vPMIQw6O3z3nXBe8vBAffhh1OEj2PtDDgajlsGX+rdZB68qsVCYbiJieDt3xZWV4sfZWVxgQ0K6XZ44q2uadrvIRqSni2ZGm01MVPSE5XdGBrz6qvjdxsXBAw+cks/Gyu+/p7qoiJlTpmAYPZpfNu4gKymLuIvi2PPZHiqNlQRPDMZsvpEnnwxk3jyRldBqRWNs2ro0SlJLGPynwTi49lDJ5gLmrP47Po+Q7/OZR/ZAnA/YbKJZ8uhRkbpup8lv4wEPFiyNZfSAClY9dRhDbQW8+CJs2QLjx1N+y/2kHjYzDBh4sR8Go7bN4MFsspKwPp+okS0yHKoqehuqq0UQM2KEKKH0QJahsrISk8mExWLB0FujlqeCRiOaH318RHYlNxcSE0Wpw9FRlDhO930IC4PXXhNTGu++K8oZCxYI/YguvBe3zpzJhv37+XrdOqz//S9Dpk9n/gsPUpNdQ7gaTsjoEHxjfamrqaO8PJtXXw3mnntEJUVRFCKnRaIz6tj/4X6G3zq8U0twiUQi6QoygPi9sVhE535ubrvNkgD7U1yYvWgQUUE1/LAsAecTicKqsbAQ7rqLolFXcGRbMWFx7hzbXULfMW1PW1gtduLXFxA8wK25t0V5uWg2DAmBCRNEmr8HxgAtFguff/45CQkJDBo0iO+++44ZM2Ywbdq0bm/7jGEwiAxBWJjISqSkiH4JrVaUlU7XWGvGDGFo8c478Nlnokn2kUdEP0kHaLVapo0YwbQRI0RJqagIjh3Dsf8AipKcyNiagc6oI+m7JK6abEenC+bFF0UsunixCCL6TOyDW7Abemc9qqrKEU+JRNJtzrECtkBRlCcURVmsKMoriqLM7GDdt4qiqE1+ihVFOXt8kKurhZxxQYH4tm/nSz0128j0vw/G09XKzy/F47Xp36K7X1XhzTepm301x/aUMmCyD9nJlR36Vmh1Cn0GuxM6qF72uKpKTCa4uYm6/eTJ4i68hy4wX331FXa7neeee46LLrqIxx57jC1btrBnz54e2f4ZRVFEIDVmDMyeLUywSkrEeKjFcnrb9PSERYvg+efFe3/XXcItq66LPQqOjuJvJSEBzbatxEwLwyvKi7wDecReE0vepjzuuOw4N92o8sQToo/z5K4jPbHWWtm7Yi81JTWnd/wSiURSzzkXQCiKcgvgoarqUuAhYLGiKKHtLM8GIpr8DFBV9ezoJqusFFrEJlOHxky5xQYue2gwdjusXbaXkH++KOrpw4fDypWUeUWiM2gYMTuIrMOVwpq7HdfMtL2lVJfX4RfhjGKxiPS8VivMFS6+uJXCZXepra1l7969LFiwAMf6/gkfHx+uuuoqNm3a1KP7OuM4O4v+hTlzYNgwoTORm3v6gcTo0fDRR0Ir4rPP4P/+T2Q6uoJWKxpaCwtR1q0jYpgH/Wb1w8nbiYCLA0BVWbkSrpihcuedwr6jAb1RT9DIIA58fIDq4urTO3aJRHJeoOlmDHDOBRDAfcB3AKqq2oH1wE3trDWrqpre5Kegtw6yQ8rKxJifqrY7aQFQVqVj+sODKSg1sPbxzfT7xz3iavDHP8KyZZxIt5O8pQirxY5Gp+AX4UzUiLabInOPVlKUUY2DowL5+eLud+xY4eXg739G/CWqq6txdHTE2bl5QOPn50d5eXmP769XcHAQJYc5c0SPSINgVVczCE1xcYG//x2WLRMlpLvugq+/7vqkRkOm6Oef0eTlUJVXRe6GXDyjPNFq7CyasY8JQyqYP79RBR0g6KIgwi8OJ/HbRGQTtURygVJTgyu0fbfZRc6pAEJRFE8gDkhq8nAScMXvc0SnQVGRCB4cHDr0Tai1aJi9aBBJGU6svXs1w179Exw6BI8+inrHHaQdqCD/mIlhVwRgKq2jNKeWgGiXNpsmKwrNpO0tZdBII7qSAiEnfeWVQmjpDI5henh4oNFoSEtLa/b4vn37iI6OPmP77RX0emGwNXs2DB0qhKry809vBHTsWFHGGDsWli8XQUVxcdde6+oqgtBNm/CqziLokkASVyVSfLSYmGl9eHx2AkMD85k9W2hTNRA4PJChNw8FFcwV5lM/ZolEcm5TWIgOuiXLe04FEIgyhF1V1SaGBxQDQS0XKopiAKIURXmsvldis6Iopz2u0iMUFIiyhYuL+GkHux1ufr4/m+M9+Hn+x4x790aRKn/9dZHyrr9pHDYjAEVRSPqtsMMEgka10b+fKgSFZswQKfieUmDsAI1Gw9VXX82KFSvYvHkzFRUVrF69mk2bNjF9+vQzvv9ewWAQSpMNPRKFhSJIPBW9BxA9KE8/LUY8ExKEFPb27V0/hoAAOHQIZ72JIX8cgEarwae/D+PuGsqS2zLwdDIzfbqQGWlA56ijIquCfe/vw1RoOrXjlUgk5zbp6SjQrdTzOaUDoSjKRGC9qqoOTR6bCvxHVVXXFmvdgb+rqvpY/b/nAy8C0aqqtipce3h4qIqi4OLigqurK3PnzmXu3Lk9d/DV1aLnwMGh0y7+tz6O4cNvovh00ktcv+0xzMHBpC1ZgsXHh5LDVbiGOWJwE930WRuLcfTU4zu0dTZDtauUHirDM1yP4u8rMh6/Q/d9eXk5OTk5aLVatFotwcHBJ3sizjusVtFoWVEhshSnMbLqkJlJnxdewCktjcJZs8i55RbUrgR8qkqx2Yy3TgcBAZQdM2GrteE1xIvUVEcW3eyE6ufFh58ex9W1McApP1JO4c5CwmaHYfCQI56dUVxcjHcP9wtJWiPf5zOI3Q7HjzNt3ry0QlWNOt3NnGtjnLVAyykKPdCqpVxV1XLgsSYPfQN8AowEtrZcHxQUxBkTksrOho0bRZNiJxfO938M5MNvIvmu/yKu/m0ZDB2KcelSYp2dOb6vDGuOlaFxzugdtdTV2nByN9J3lDcabYvAwGYjdd1xtKqRuIXTUDxbW3f3NheUMExJidD2KCjo0u+9GTExQi/ivffwXbUK30OHxDxmRESnLz2gKAytrYWMDMxjxnHwh0w8yz2Ze3UYmmPHeHlRIs8tjuM/65zQN3yShkJuTC61pbVEDO18Hxc6F9Tf8e+IfJ/PIHl5kJzc7c2cayWMTEBRFKXp1dALON7ZC+sbLkuALhoS9BBZWSJ48PHp9CKydrcnd70SxWq/hVydvAymTBGmTC4uZMSXU5xZzZDL/NE7aqkur0PRKPQb79M6eDCZKNybQZHdmwGL554VwcMFh5eXmG6ZOFFkn061P8JggLvvFr//sjLRYLl+fddeW29q5rB9I0Mv8aYwqZC8A3nMfaQvNy8Oo3zTfu65xUTT5GPgsEAipkZQmVspeyIkkvOdrKwe8f45pwIIVVXzgDSgqfJOP6DVTKCiKP0URRnW5N96wBtIPdPHeZKMDGGK5evbac9BQpoz85+MYbXTdcwpeF+4Iz3++MlfsmeQkSGXB2AwarFa7CSsz6csr7b1hoqKwGKhuv9wYv96CXqX87RUcC6gKEKM6sorRZ9Efr6YtjgVRo0SNuF9+wq3zzff7NrEh7MzeHtj2LeDoaMd8R/kR11NHQufDGDKvUNY+bkTLy1rPYJall7GwU8PYjGd5niqRCI5u7HbRTOUm1u3N3WulTAA3gSuAXYqQk7vcuC6+gDhbeATVVW3ArcCsxVFGaSqqhW4CvhNVdXu5226QmamUBrswNeigZwiA1c9EsMXtvnMqPkebr8drrsOgOzkCmx1KmFxjT0Ox/aU4O7viE9YE58Gmw3y8lBDQqkKi6VPhM8ZOS3JaWAwwJAhIpjYvVv0wvj60lhD6ARvb6H98d578M03IvX41FMd6oec3G9AAPrEg2CrJSXTGUWv5elXYkjNha8eP4S/2Z0bn448qUwZOjYUa62V+M/iGXLTEPTGs0d3TSKR9AClpaIp/3QUdVtwTmUg6nkLsCqK8izwGrBMVdXjgAGYCQysX7cY+DewQlGURcBlwA29coRZWWLwvgvBQ1WNlmseieLd4muZYfleKEzWBw/5aVVkxJfjG94YKNRU1FGWW0v0qCb6EQ1OksOHc8IeStqWbDnffzbi6SnKGqNGiR6JkpLOX9OATgd33ikChxMnhPPq3r2dv06rFRLpqalEu+ZTk1/J0e+T+egjcBoVxzvPVfD9c4nYrY1NleEXh+MzwAdLpcxCSCTnHTk5PRI8wDmYgajvZXikjcdNQHCTf5uBR3vx0AQ5OY1li06CB5sNbn06lGXHrmWSshkeegiuEJIWFYVmUneVMvRyf4yu4i5QVVWMbnpGzAlCq6uP/crKREr7kksor3MiZ+9hLrrjIul1cLai0UB0tJCj3rNHZKr8/Lpej5w8WTRTPvmk+Hv585/h+us71vNQFAgMRFdQQFxADYmFftSVVPLvH9wYO3oIy15Mod/0WvoPd6pfrhA+ORzVrpKxNYPgUcFo9d0aF5dIJGcDqirchnugfAHnZgbi7CUvTwQPPj5duiAsWe7LfTsXMFHZivL44yeDB9Wu4uptYNiMAJw9G7eTvLmIoozqxuChoECkwadPh8BA0jem0292P2nZfC7g7AyTJgnjsrKyU8tGhIUJQ66pU4UA1VNPiSxUZ/j5obXUMsgzCzdXFU1ZMWt+UDiq9GPuDUYS/pPWXN5aAVOBicNfH8ZuO0VdC4lEcvbR4LbcQzpAMoDoKQoLhTGWh0eXfjlf/ejCpav+j1HKHpSnnhQXA8BUZmHvD7moKji5N9afC9NNVBRZ8AxyFE0wubniLnbaNHB1RbWrxF0fh3fMuTc3bbVaqaysxH6q4kvnOooC4eEwc6boc8jK6rq3htEoTLnuvhu2boW//EUEsJ3h5YWi0aD+9D+yfk6EI8l8t0rlaIrCkpcc2ffBASqyKuoPT6H/nP4oWoXk1cmyLCaRnOvk5fWo+rAMIOqpqqpi4cKFrFmz5tRfXFICGzYIoSajsdPluw/oCXzlIcaxDXXR4yiTJgJgqbGRsL6AkFi3ZqOZlhobKTtLGDDRBy12USbp3x/GjweDgcLEQg5/exiNtv1fZ3V1NRkZGZhMZ4/ioN1u5/vvv+fhhx/mySefZNGiRWzbtu33PqzepyEbMXas+FsqK+va6xQF5s2D554TEx533onz4cOdv87NDcXNlUHumZjT8wiqOsKbb6qs2hrEDyn9SPgy4aQypaJRiJ0Xi1tIz6Q8JRLJ70gPli/gHOyBOFO4uLiwsqn3cVcpLxfBg7MzODl1ujwrG6ofeoKJ6iZM9y/G9ZLJgOhvSNxUSEC0CwHRzWWutXqFfuO8cXNXRAQ5cqQQG1IULCYLKf9NYeAfB7a1O+x2O//617/YunUrXl5elJSUMHbsWObNm4fmDPpgdIU1a9aQkpLCokWL8Pb25sSJE6xcuRInJ6cLT0BGUSAqSvTO7NghMkx+fqIJsjNGjRIljUWLiHr0UbjvPpHV6AgnJ7RaLXH2bNJLdSy8rS+HDml54R1vBrwzjHE+Ruqq69A76dHqtYSMDqEyp5KyE2WEjm3P/FYikZy1VFaK61VgYI9tUmYgukNVlShbGAwdels0UF1h5cTCZUy0/krOrYtxnT0FED0PAP3Ge9NnSHNJ6tKcGqrL6vD2UYTGw6RJwg2yvkky5b8p+A/2xz20bWOudevWkZ6ezpIlS1i8eDHPPPMMWVlZ/PTTT905825jtVrZtGkTf/7zn0/K1fbp04drrrmG9V0VTDofcXODSy6BQYNEsFjdRcvt+r6Iqrg4ePll+Mc/OheucnBAG+RPlO4E1gOH+NvV6Vw8WeWO+53YtQsOfHKAzO2ZJ5cbXA1k78omZ29ON05QIpH8LhQUNLcy2LKl25uUAcTpUlMjGiZVtUspIdVq4+BtbzG+eh2HrlpMyA31wYOqkrqrhOykSoyu+mbTE1aLsOu2VZqEt8Kll4oLRROCRgQRPiW83f1u3LiR+fPn4+oqrEKcnZ1ZsGABGzduPOVT7klq6pv+Wmrdh4aGUlRU9Hsc0tmDVgtxcaK/xWwWgWNXcHUlbckSUdb47jt45BER5HaEXg+BgWgPxVO26QAv35FCUKDKVVcp+E6JI3dvLmnr01BVFQdXBwbfMJj0jekUJV/gvyOJ5Fzj2DHh3gviurV8ebc3KQOI08FiESJRtbVitr8zVJW993zE2MLv+XX0Iwz+65STT2UnVVKWV9uqbAGQtrcUbx8FDxebuJg0EQ6ymCxkbs/EM8KzwxG7iooKfH19mz3m5+dHZWXl79oU5+zsjMFg4ERTe0ggMTGRsBZB0gWLn59wT/X3F34qVmvnr9FqRWPlgw/C/v1CVyQ/v9PX6PoEMySiEuLjef/RY1RWwrU3OtJ/wTBMBSYsVaK508nbibjr4jB6dd7rI5FIzhJMJiguFqV2gKNHRZm0m8gA4lSxWmHbNtHo1kWnuKQl3zIi+Qt+CL+bi5+7/OTjFYVmMhLKibvUH52h+a/CarFjyq0gcoCDCB68vJo9n/Jjyskv9Y6Ijo5m//79zR7bt28f0dHRv6tWhEajYfbs2axcuZKDBw9SXFzM5s2bWb16NVfUj7NKEP4pEybAiBEiBdnVJtiZM4WPRmGhCCiOHu14vUaDLjyEwf3MDPU4zuef2Ni9G+66V8+gBXEYnA1kbsvEbrXjGuiKs58zKT+lUJlb2f1zlEgkZ5b8/Obli40bu9Zf1QkygDgV7HYh/tPQ4NYFct//kQEb32WN+w1cuvyak79DVW3UenB0ad7LarepaKoqGHaxO7qZl4vR0CYUJRdhKjARMaVz58Q5c+bw7bff8vPPP3Ps2DHWrl3LV199xZw5c7p2zmeQcePGMW/ePNauXctLL71EQkIC99xzD+Hh4b/3oZ1dKIroe7n8chHAdrWkcdFF8NZbQnXu3ntFc2Yn+9H3CcLLXszIwv+ydGEGX3wBL74o/l4rsitI+GcCNovorfDo40HCPxOoLWvDk0UikZw9HDvW2KenqqL8Pnx4tzcrA4iuoqqQkCB+EQEBXXpJ9U8b8f/iFf6nv5Jhyxfi6CBKBlaLnQM/5VFntmN0a+01cGJ7NscP1vc8tNFfUZ5RTsyVMWh0nf/6IiMjeeCBB8jPz+fbb78lNzeX+++/n759+3bpHM40w4YN46GHHuL555/nrrvuksFDR3h7iyDC11eUNLri7hkRAW+/DaGhQjfi++87Xq8oEBCAp76KqeoGbrw0h0cfhXXrNcTOjcXB3YH4z+Ox1dnwjfUldFwo8V/EYzV3obwikUh6n+pqcdPRsnwxeXK3Ny3HOLtKaiocOiRGYLqQ+rcfiEf/0nNsZQIuzz5GSICwSFbtYlzTxduAwdg6hVSdVULOURMjnp/XZvBgrbUSdVnUKR16UFAQN9544ym9RnKW4ugoLMITE+HAgS7ZxOPtDW+8AUuWwGuvCR2RhQs7FJQxRgYyRM3jz5a1HI2ZzYIFXuzdq9Bvdj+KkorQ6DSoqkro2FCcvJ3QGqTUtURyVtJQvmi4bm3aJMoX48eLia1uIDMQXSE7G3btEs1sXdFOyMqi9pEnOaZGkHT7K0wYaT751PH9Zah2leiRXq1eplZUkLKzhD43XYxDUOv+isrcSvYs3yNlhS90NBox5jl1qpjO6YpFuNEIzzwDs2fD11+L/29D9TKnqIh9R4+SV1KCc1QAIyc78el9+1Htdq66CmpqFHxjfTFXmNn/wX7MlWa8Y7wx5Zs4suaIVKuUSM42UlPbLl/0gKCUDCDqaVeJsrhYOGv6+HTNway8HNN9izCZdXww4WNuX9C86c0/ypnYyb4omhZZjKoqFLOZsNumETwlptVmVbvK0R+O0mdSnw4VJyUXEEFBYkpDpxMNlp1dvLVaITJ1xx1Cv+TRR0/qTJgtFt7+979547vv2JmUxKvffMOK77/HEOpFtG85b0z8jvSDZSxcKHbj6O6Idz9vDnx0gNqyWozeRkwFJo7/crwXTlwikXQJk6l1+SInp0fKFyADiJM0KFHOmjWr8cHKStGt6ubWNfMRi4Wah59AW5zPwyFfsuRxy8mskanUQsqOYpw9DOgdW6R7a2qwVZjI9hiIx+Cw1sEFkLsvF41WQ8CwrvVfSC4QXF3FlE5wsPhi6MxPRFFg/nyhEXHggAgoSktZvWULDgYDy267jTvnzGHZ7bejAmu2bUPx9mLmFSp/G/orq78w8dZbYlN9JvYheFQwiasS0eg0xC2IozCpkNx93R8Pk0gkPUAb5QtVoyE5LIx/bd7c7c3LAKI9zGaRedBqG6O3jlBV6pa9hPFoPHcbP+Spl5wxOogvc6vFzqFfC3H1aSMIMZuhrIwT+r5UVCrtjlb69Peh/1X9pU23pDUGg/DRGDpUCJyZzZ2/5vLL4dlnISMD9Z57SN61i7mTJqGtH+3SabVcNWEC2xMTAfAe4MftN1mYH7qVB+638dtvYjMhY0IYfMNgVLuKzWJj8A2D8Qj3aG+vEomkN0lNbSYepW7cSGZoKN/s24djFxyjO0MGEG1hs8H27eLL2KNrX4bqZ5+j37Sex5RnuW5pLH0amiZVlSNbi/AIcGgtFlVXB4WFVA8aRe7xGiKnRba57cztmaiqitFTivdI2kGjgYEDRZNvaWnnCpQAY8bAK69ARQX3bdyIS05ziWoXo5HaJn0SgUP9WfaUhUj/aq6dayU7Wzyuc9RRnlHOvg/2YbfaMXoZObLmCBXZFT15hhKJ5FSoqmouHpWSgpKbS2J4OI/dcANXjB7d7V3IAKIlqgr79okxFx+frr1myxaUjz7kM27Aa+G1XHJRczdFzyAjfUe3aIq02UTdeswYisr1hE0Mw8G1dYaiPLOcrO1Z6BzkwIykCzg7i+yCzSacPTtj4ECUN99Eo9ej3HefKGvUs/XQIQa2GKv1i3Ths4VbiCjbz7zZ5pPJDs8ITyIvjeTgpwcxFZrw7uvNoa8OUVsuNSIkkt+F3NzmTf+bNmFXFPxmzkSn1VJe0IVMZSfIAKIlR4+KH3//mtesUAAAIABJREFUrq0/fhzr0ufYxUjWTnqGB/6YdfKp8vxaSnNqCern2syeG1UVRklDhqBGRhE2IYyQMSGtNq2qKqk/pRJ5aaQck5N0HU9P0Rfh4iJqoJ01V4aHY3rpJYr1emwPPsjRL7/k83XrWL93L1dNmNBq+cjJjtw+K4+qfUe5d2HNyccDhgQQNS2KwsRCfPr7EDouVAhP1XVBr0IikfQsKSmNkxaqChs3kh0WRq3RiKqqJG3uvp+NDCCakpMDu3d3fVyzooK6RxdTVOfGY2Gfs/yREyd7VSw1NhI3Fbb9urw8iIrC3m8Ae5bvoba8ts3ehpriGgwuBvziuqZ6KZGcxMkJpkwR5ms5OZ2KTgX0749x+XIqAgOJfu89Bh07xuN/+hP+Xq3HjRVF4ea7XZg9Mo8fPy3ig9cb5az9B/sTPjmc8oxyPCM9iZoW1SXBM4lE0oM0jHcb68veKSmQk4N98mR+2bePwpyq5je1p4n8ZDegqsLetKvjmjYbtqeWoBYUcqPjN6xYVoKz0V6/KZXkLUX4RTrjFdyib6GoSChZjhhB1s5sjF5GHN1bCwHZbXaM3kbirouTjZOS00Ovh9GjhbNnXp7ouekAt6AgPFesQDNkCEO/+Qa3X39td61Gq/DkEi39hzhwz4MGdv1c2ux5c4WZ+M/iMbgaqMisIG19Wo+ckkQi6QLZ2c29LtavB52OsKuvpm9ICK+uXM3+/MRu70YGEA3U1YlorTNVvwZWrEC7fy93qMv562IPooIba71Wsx2DUUvEsBZOneXlYhx07FgsZjuZ2zLbbZxM/zWdzK2Zp3s2EolAo4HBg2HcOGGsVVPT8XonJ3j+eRg1SjRYfvttu0sNjhq+evooY50Ocse1JRQmNaZE/Qb5ET09mvjP4lFVlaLkIrJ3Z/fUWUkkkvZQVVGGd3cX/7bZYMMGGDUKxd2d+VOnsvDmabhYXbu9KxlA1FNlMrFwxQrWbNvW+eJNm+Dbb3mLvxB43VSuHFt88qnq8joUjUL/CT7NU0QN43WTJ58MUqJnROPk7dRq8zUlNeTuy8V/SBf7MCSSzoiIaFSurOzEQdPBAZYuhUmT4J134JNP2u2j8Ha38uzTNlyr8rhtTiG2vMaynd8gP/rO7IvB2UDcdXGc2HSCkmNdaOyUSCSnT2mpEIhr0C46cEBMY1x6KSCuUV5OHvTxDESFbknHygCiHhcnJ1Y++CCzxo3reGFGBrbnXmSnMpo1Qx5nyS3pJ5+yWuzEr8unLK9F57nVKjriJ08GNzdqSmqwWWz4x7UdIBxbe4yQsSFtTmVIJKdNQECjo2dpacdr9Xp44gmx/uOPYcWKdoOIMcPMXHe7MwUpZSz5vxyR6ajHd4AvTj5OZG7PJHxqeJsBs0Qi6UEyMpqX4devF5nF+mvbifhyynJrGDBETy10axRDBhCnQk0NtsVPUV7nxN3un/PZE6notOJLVVVVjmwrxivYiE9Yky/JhomLUaNOTnak/DeF4iPFbe0BVVWFy+HY0DN+OpILEA8PuOwykQUrbKfJtwGtFh5+GObMEf4Zr7/ertLlHX8so9+0MJZ+P5gfn49vtW3PSE/SN6RTV1PHke+PYKlq7cMhkUi6ic0mHKMb9IvMZti8WWQTHRywWe0UZ1bj7u+IlxeYoVsfRBlAdBVVRX31NZSMdK5Tv+C1pyvx92psSjOV1lFTUUfUyBZ9D/n5EBMD0dEAlKSWUFNaQ9DIoDZ2oVKSWoJfnJ/sXJecOZydRTnDx0fMinc05qnRwL33woIFwgr8+efbnOhQFHjnb8cYGZrPq287kPrxllaZiOgZ0SR8kYCiVTj01SE53imR9DRFRSJo0OvFv7dvF34Y9eWL4swaHF11HF6fh+rohBW69SGUV6musmYNyvp1PMnTTPu/SCYObnRAtNtUXLwMDJ8ZiLbphb+kBLy8hPNZ/SRF+qZ0oi6LatMQqyi5SJoRSXoHBwdhCx4e3rmHhqLA7bfDrbfCunXw9NNtOnk6Odr5/NkT5CpBPPKyD9U/bGgWRPgN9CPu+jiiZ0Tj4ObAkf9I906JpEdJS2sc3QRRvvD2FjL3gGegIx7+jvh42dH0b23aeKrIAKIrHD2K/c1/8BMzSJywkL9d0ygWpdpVDv6cR1lebeumSbtd1J2a1KPirovDO6a1VbdqV0lbn0bkpZFybFPSO+h0YswzNrZzrQhFgRtugLvvFinRJ55oM4joG1LD0kdMHCrw47GV4aL7u6hxOsM10BVrjZWqvCpcAl1avV4ikZwmZjOcONE4fVFRATt3Cj0YrRarxY6prI6KQjO+gTphwNdNZADRGdXVWJ9aSp7qxxMBK/jw70dpen3PSChH0Si4+zdpeLTZRNfrhAknfdhtdTaSVyej1WvbDBAKkwpxcHPAM8qz1XMSyRlDoxF3J8OGiXJGJ1oRzJsHf/ub+GJavLjNIGLu5GKunOfImztG8vmOKNRffhGfh3oMzgZCxoaQszuHnL05FCZ10oshkUg6Jy9PlCMbRBA3bRIN0/Xli8J0E1mJ5QRHGPCM9m4MNLqBNFjoBPtrr6Pk5nCjbj3vL83D3aXxLq2y2ExWUiUjZgU2Dwry88UXckCj9XbO7hystdZ2ext8Y33xjPSU2QdJ76MowojL0VHUTP38hMNne8yaJb6kXnkFFi2CZ55pZXf/3B3p7Dzizhtv6wjTODKJ9eKLzFtk34JHBqPaVDI2Z2Cz2DB6GnEJkBkJieS0OXq00XkTRPkiNFT04AH5aSZ8woz4etag6R8HPXCtkRmIjvj5ZzTr17GEJ7jhgUCGRJuaPe3krmfwpX44ODeJw4qKRGpowICTD1lrrWRszSDikog2d5O9O5uy42XojfozchoSSZeIioKLLxZ/w50JTs2cCQ89BHv3wmOPQW3z0WW9TuXrJxLJc47ilQ89OJ6lh19+aWbwFTImhJF3jiR6ejQHPz2IxSQnMySS06KyUnxu6zPe5OdDfLwI2hUFs8lKVYmFrKRKKgot2AMCKUntviaLDCDqqaquZuHLLzcKSWVmYn31DTYxidwrbuHm6XnN1mcklGM22XD1abzzUk0mcWc2alQzLw1ToYmAIQE4+zq32m9ddR3pv6bj6NFFBUyJ5EwSEiImNMrLRfd2R8yYIcY89+8XQUSLoCPIx8JnTx7j1/LhvLjcjTqdowgimmhQ6Bx1aLQaakpqMFd23x1QIrkgycpq7t/0yy/iv/XlC72jlujRXqg1ZtxjgygrqCN9U3q3dysDiHqaCUlZLJgXL6XCYmRZ+Are+GvzyYjS3BqykyowGIXW+O7kZJ7+6CPufPVVntq+nZ3x8SfX2q123ELciLosqs39nth8At+Bvhi9jG0+L5H0OgEBws2zurpz1crp0+HRR+HgQfHfFkHExUPLeOy2QlamTuXdX/tTpziIL7eyRst734G+RE6LJPGbRNI3psvJDInkVLDb4cgR4cILog9i7VpRlgwKEvIA2TVUlZjx91NRYmIoOFyAb6xvt3ctA4g2sC5/H4cTKdzt8D7vPluG0aFxxM1qsXNkazEx47zRGTTsTk5m9ZYtLBgyhHdef53rFy5kzZo17NixA4DUn1PJ3tm2B4CqqpgrzPSZ1KdXzksi6TLe3iKIsFhENqIjpk0TGYiEBHjkERF4NOHh+RnMHFfCknd9+dfXFiyqTgQRFRWAcPeMmBqBZ5QnKT+ltPt5kUgkbVBUJD5zDX1LycliGuPyywGoKDCTtrcU70AHAqOcsPv6UXykWAYQZ4Q9e9D9+1v+wd0sWBxNZFDz2q7ZZMU/0hnvEKE2+dPOnfxp1Chihg5FExtL3759uemmm/jpp5+oKamh8HAh/oPblqxW7SoDrxkoJaslZycNqpXQLGPQJpdcAo8/DocOwd//3qz8odHAJ48k4+bnyCvr4ti+0YJNqQ8i6jMciqLQ94q+THhkAkd/PEphspzMkEi6xLFjzbUffvpJNDVPmQJAbkoV3qFGXPVmjAMjURwcGDR/UJsu0KeKDCCaUlFB9dMvkUR/8q+5h9njm8tNV5fXYXTTEzG8cdQyr6iIKB8fMU9fb58aFRVFfn4+x389TvDoYPROrZsjzZVmdv1jF3ZrBwI+EsnvjaurqKPq9c0aINtkyhShD5GUJIKIqqqTT3m6Wvnu6cPEm6JZ/nM4WdmIyGLDhpPrFEXB6GnEo48Hyf9Kxm6Tnw2JpENqa5trP9TWis/UpEng4oKtzk5RRjU1lXXkJJZBRASVOZU9NvF0TgYQiqI8oSjKYkVRXlEUZWYH64IURVmhKMoDiqIsVxSlw5xN2bNvo68q4bW+7/LkHc2bJq0WOwfX5lNR2KTRS1UJdHAgNSBAyAPXk5qaSkBAAN4x3oSMDmlzXxmbM/Dp7yMlqyVnPw3S105OzUSh2mTyZHjySZFGbVHOGNa3in/cl8o3x0bw0Z7BWI2uol67YUOzjMWwW4bhGenJzjd2UlfdiS6FRHIhk5Mj/tvQQLl5s/gszZghHtYpDL7Mn/LsavyiXLF7epHwz4Qe+1ydc1cvRVFuATxUVV0KPAQsVhSlPeepL4G3VVV9Bfig/qdNNJVVeOxayyvGx1nyvOGkSVYDx3aX4BXsiEdAk7RPYSEzrrySz9atIykpCavVSnJyMp988gkXD7sYv4F+6BxbS22YK8zkJ+QTNj7sFM9eIvmdMBrFiKebW+cmXBMnNmYiHnmkWWPlrVfkcuP0fJZ82od/rqgkr0gnhNd+/fVksKFoFGLnxVJTWkP8F/GodtlUKZG0QlVFoO7m1vjYTz9BYCAMGQJAYXo1NRV1OOnrcBw2gNL0Cozexh6b+jvnAgjgPuA7AFVV7cB64KaWixRFGQ4EqaoaX792NzC0vWDDUFjEdsYy7pkrCPBqPo9uKrVQklNL1AivJg+awMGBEQsWcPXcuaxatYp77rmHb775hhmTZ6A/qm/XLEhVVWJmxmBw6UCsRyI523B0FBkGT08xZ94RkyaJnojDh5tNZygKvH1vCoMiq1m0djJ7N1ZQbjGKZs1ffz25TqPTcPFTF6NoFfYs3yMnMySSlpSWit4kp3r359xcMVJ9+eWg0VBTWUfKjmKcPQxEDnSEsDAKDhXgH9d2T97pcEoBhKIo1zT5fz9FUS7usSPp2v49gTggqcnDScAVbSyf3GIdwBFgRnvbPzT/GSYNbz377uxpYMTsQHSG+rfLZhO/uHHjRBAxYgSLFy/m3Xff5YknnsCrwouQMSHoHFpnHyxVFhSNgt8gv45PViI5G3FwEMGBn1/nQcSUKSJ4SEgQipVmUf5zcrSz6qnDlNtdeGXHBA5vLkb18BT1202bTopSabQaBlw1gPz4fNLWp53pM5NIzi3S0porwP78s4jQ66cv8o+Z8AlzQmerxT3aD9zdCRkbgl+cuPZ09vHtCp0GEIqizFIU5VVFUS4D+jY8rqpqAVDXNKjoBSIAu6qqTbu5ioHW3thibcuCbXtrKTAEcdvC1m/H8f2lFGdWo3fQNj5YWChmbH1bt1RUF1dTeryU4FFtG5Wkb0wne5ccU5OcwxgMwuclIEDo73fEpZeKhsoDB0RGot47Iya0hg8fPsKvx8L4OmsCKGBz8xQNlb/9dnKd0dPIZa9cRn58Psn/ST7TZyaRnBuYzWL6wsND/Ntuh//9Dy66CAICUFWVvNQqdAYNKb/lQUwM1UXVGJwN6I16LBaYM6f7h9EVL4xtQD9Ev8F4RVEuQZQN1tc/96fuH0aXcQasLR6zAK3tLcXalp0i7a2l0qEKrz/MwcXZGVdnZ+bOmMEVoy4h61ApEVf6kdlQx62rEykju118KbZAVVX0o/UcSjrU6rm6yjrS16UTMT+CigMVnZzq+UdxcTEH2njPJD1Hr77Hbm6i5FBUJD4T7WnrT5yIV00NYa+/TsWiRRxfvBhVryd6VAbX/8GJN1dHEOB1nIGemYRO8UGpqhK24YGBJ5vDLMEWdn25i0rvSvQuv6/ku/w77h3k+9wBlZVi6q8+0HbZv5/o/HzSb7qJsoYy4CR3ErYV4x3tzIHSUrK+ScQl3AWP/h68+GIwO3d2Xwei0wBCVdVi4GXgZUVRngE2A9OBT4BQYCPwabePpGvUAi2/PfRAW8L9tUBLecf21hLs60XiB409lnabyr4fc5k41o8Az/qRF5tNjLJNn37SFKgppgITlTmVBEwKaPUcQOr/UvGa6UXU2LZVKc93Dhw4wNB6X3rJmaHX32OrVThzZmSIjER7QcScOaDR4Pbqqwx54QV46inQ6/no7gyOp3ix7MvxfHtTKU7x1cSM9UYpKBBCU+PHixHSoZARksGJ304QMj2EwOGBvXeOLZB/x72DfJ/bQVVFs6STU6P+w4YN4OJC+NSp4OBAfloVRlc9daVmxs6LwT5wCJVrqxn7h7H8e42OL7+E++6D11/v3qGcahPlTlVVf1ZV9X5VVWOBPkAPJEK6TCagKIri0eQxL+B4O2u9WjzW3tpW2G0qfhHO+Ec18a8oKIC4uDaDBxDliY7GY0LHhRI2QU5eSM4jdDoYMwbCwxvthNtj1iy4917Ytg2WLgWrVZhuPZmIo4PKw/+bSlFOHcWZNeDvL4q027eLIAUIHR+Ka7Arid8lUpTcyTipRHK+UlLSvHmyqkqMb9YHD5YaGyk7StAZNMQOc0QTE01hUiGeEZ6kZei49VbxkX3hhe4fyikFEKqqrmnx75L6SYheQVXVPCANUVJpoB+wqY3lW1us62htM2oq66gz2wiLc2+0166qEqI6sbFtvsZUYKI8o5ygEW22WFCYVIhqV9sUlZJIzmm0WmEg15Ug4g9/gL/8RXzhPfMM2GyE+Jr5cnEShzLcWJE0Ea8QI3abKoKI7GzYtQtsNhRFYehNQxl19ygSvkygNK20/f1IJOcrqaliIqqBtWtFKeMKMUuQl1qFd4gRW7UFz3B38PHBK8qLgLERzJsnWpi++aZR+bo7nItjnG8C14BIRQCXA+8qiqJXFGWloijj69dtAaoVRRlUv3YYkKyqamJHG1dVlSNbi8VdUAN2u/ADGDNG3HG1QfHRYkLGhKA1aFs9Z621cnTNUTmKJjl/aQgiIiLEOFlHf+tz58Kdd4qJi2XLwGbj0otKefrmdD7bEMLK/wSw+z85VBabRVnkxAnYvVt8DgFHT0dUm0pNWSeW4xLJ+UZNjZi+aGieVFX4/nvo1w/69TvZPOnsaeDIhizo1486s4266joeftqZQ4fgiy8gtD3lpFPkXAwg3gKsiqI8C7wGLFNV9ThgAGYCAwFUcbWeBzykKMoi4P9oQy+iJQVpJqwWO8H9XRsfLCyEAQPAx6fd14VNCCN0fNu/lZw9OXhGeWL0lI6bkvMYrRZGjoTIyM6DiGuvhYULRe32hRfAZmPRDSeYPqqYe9/tR41nEId+KcBcbRNBRFoa7N0Ldjt6o57htw/n+C/HOfjZQSpzO3EMlUjOFzIzRZ9Rg/LkwYMiwJ49GxBy8MNmBFBZVEtgmAFCQylIKODjpZl89JEYhKqf8uwRzrkAQlVVu6qqj6iqukhV1fsayiqqqppUVQ1WVXVlk7XHVVW9SVXVZ1VVvUNV1Q4nX1VV5UR8uWji0tSXLmpqxKztoEHtvu7YumOUppU2ljtabDPvQJ7sfZBcGDRkIroSRCxYALfeKiYuXn4ZDXY+fywJf08Lf145BpdQD5K3FosvzMBAOHpUfGGqKh59PIiYEoGlykLCFwmYClvrt0gk5xV2OyQmNtp2A6xZAy4uov8ByEqswFJro/R4OX4jw8DFhd0/5rPsfT8uuUSozPck51wAcSZRFIWLrgzEzbdenENVRcPKqFHtFozMFWZy9+W2a06iKAoX3XERLv49Y14ikZz1aDRdDyJuuAFuuknMsL/+Ot5udXz75GGyixx47PsxxIzzRlVVVBBBxOHDEB8PqkrQiCBG3DGC0AmhHPz0oPTNkJzf5OcLufcG8aiSEqGZcvnl4OiI2WQl/WAZegcNA4c7oB8cS/6JWj78Rw06X0++/PKk32OPIQOIelSrSvKWIrT6Jm9JUZH4EgxquzESIHNbJgFDA9psjrTb7CSvluI3kguQUwkibroJrrtO3E299RajB1Tw6l3H+GGHL298H8mJg+Wk7S0V2wwMFJbhhw8DwjejIrMC91B3dEad7DOSnL8cPiyyDQ389JOYUKovX+SmVOEX7kx1cQ0ewc7Yffy44y96tpYP4utvNW3pHnYbGUDUU1lWw5trv2bNtm3iAYtFfOnVm5K0h91mJ3Rs270PBYcKqC2vRavv4bBPIjkX0GgaeyI6ms5QFLjtNpg3D/79b1ixgrvnZDF/aj6LPogg1RxC0Ylqco/Wi+cEBAgRt2QRnPe9oi+VOZVkbs9k3/v7qKuRmQjJeUZZmZARaDDOstlEwD1sGISFoaoqhekmPAIdSPw5C2JiePFVLZt+qOCJV9wYO/bMHJYMIOpxdHDg7afvYta4ceKBoiIhC9owa9sGdqudmJkxOLg5tHpOVVUyt2VKx03JhU1DY2VnI56KAnfdJQSnvv4a5eOPWPnAUWJCqrn+hcH4DgshbV8ZpjKL2GZgoGiqTEnB4Gxg4B8Hkr0zG7dgN+I/j8dqbilYK5Gcw6SmNi+j79olShpNmicvmhVEZYGZgFA9GzOjeOGxCuYPT+Gee87cYckAoh69k7axCbK8XExcRES0u95aa2XnmzvbvduxVFpwcHPAM8qzzeclkguGrupEKAr89a8wcyZ89hmu333MqqcOU1Wj5eY3hjJkRiBO7npRptBqhU7Erl1w/Diuga6MunsUUdOjcPJxIuXHlF49RYnkjFFbKwKIls2TXl7Ckwbh2WQ2WclLKoXISObf6szwoDzufS4AjaYdddgeQAYQ9SgNVQa7XVh1jxjROCrTBjl7cnDv447e2LYwlIObA4OvH9zmZIZEcsHREET06dNxEKHRwP33w7Rp8OGH9Nv2Hktv2cHmeA+WfBmD2WRj75pc6sw2ocni5wdbt8KJE2gNWoqPFFNbWkvEJRHYrXbstl7TuZNIzgzp6eK/DR2QeXmwY4cItHU6qsvryDlShcGopd9gB256bzw1VTbuvraQiDE9Z93dFjKAaElREfTvL6K7drBb7WTtzGp3NNNUYCLhnwln6gglknMTrRZGj4awsI69hLVa+PvfKRw2DN377xO3/yGGRa/jpa/DWLXdHc9ARw7/WijUKvV6EURs2QJZWfj080HnqCNzayYZWzNIXp0sGysl5y5Wq2iebHo9+uEHka278kpAjG4GxbhQmlHJcxtGsmWXAyve03DJ/XFtltd7EhlANMVsFl9eAwd2uMxutRM+Obzd0czM7Zm4Bru2+ZxEckHTEEQEB3doBZ6Sm8trMTHUjh7NtO3b2THjJ/oG53L7ywOx+weg1Ws4vq9eytpgECXH335Dyc9jwNUDKE0rxcnHCUulhZQfU2QQITk3yc4WDf0N/Q9mswggxo4FPz9Uu0pFoRmPQEe++8TEaz/E8Je/wOWjSnENPPPXIBlANKWhcdKh/ahNVVUsJku7nheWKgtFSUUEjww+U0cpkZzb6HTiCzAwsN1MxJaEBKaNHo3j0qUwZgyGt15jy8x/AHauenIAEaP9CB7g1hgYODiIu7Rff0VXUcLQm4fiO8CXgfMHUplbKX0zJOcedrsYWfZo4h25fr3o0Zs3DxBjzBfNCuTgXitv7RzBqBEqy540k/hdYq8EzTKAaEBVwddXpFc7oCSlhMRV7dtpWKoshE0Mk6ZZEklH6HQwblyj62YLqmpq8HJ1FSWKp5+GESPwe+85Xu9/N4fTPbl/eQyOLjqObC2mKKNavMjRUTSabdiAobYCW52Ngx8fZMDVA/CK8qK2rLaXT1Ii6QYFBSJYaLDsVlX49luIjoYhQ7DbVOLX5VNWpvLWB06UOgbw7b+0lCTl4Rvr2yvyATKAaEBRRPahg8ZJEMJR7ek+2G12nP2c5eimRNIV9HoYP14E7gUFzZ7qFxrKrnqdBwwGWLoUy8CB3JbwGZ+Nf5v3fwzi4/8FENTPlSNbi4TxFogvWzc32LABXVU5fnF+JH2XhNVsJf6LeLJ3ZffySUokp0lL4ajdu4Xvxbx5oCgUnjBhq1O5950B/K9sDB+/ZyMkRFgnBAwN6JVDlAFEPVW1tSx89FHWrFnT7prKnEpqSmvwHdi2pFfe/jyO/nD0TB2iRHL+odeLUTQvL2FaV8+kIUPIKS7m/R9/JP7YMX47coRlAwZQGR7O9TvuZVHEF9z5Wl/Syr3pO8abQxsKsVrqJy6cnMDZGX75hdABLhi9jRz7+Rhx18WRsSWD/PgOLXEkkt+f4mKRmWsQjgJYtUp8TqZORVVVshIr2VYQxfr18Pf5J5g2zx2A2HmxuIW4tbPhnqVtb+oLEBd3d1auXNnhGqOXkYHXDkSjbR13qapK1o4sYq6MOVOHKJGcnxgMMHGisPcuKgIfHxwNBh6eP5/fDh7k1/37cTYamX/llXjcdBM8+CBLU2/mhJMrVz8xjT3Laxl4sQ6tvsnItLMzqCrKhg30mzwFs2LE6GnEb5ofq/+xGttgG5FRkUycOBFnZ+ff79wlkrZITGwsXYAY5dy9G265BfR6rGYb2eUuLP68L38I2smip6JAo6H0WAmuQa69Jh8gMxBdpLa8FlOhCbfgtiO70mOlaHQa3Pu49/KRSSTnAQ4OMHmySNkWFQFgdHDg8lGjuHfePG6bOZP+YWEiMHjxRZSICD6pvoaYgi1c90wszl4OVBZZSPqtsLF5zMUFHBzQ/rYRJ4OV9SvWs/z15QTPCmbUiFFkJmaybNkyKioqfscTl0haUFYmbLubNk+uWiUC7XrlyRKTA3/5fhqxrpncd10B2vBQbBYbiasSsdf1nvaJDCC6SOa2TIqSi9p9XmfUETktUgpHSSSni4MDXHyxKEGUlLS/ztUVXnoJTVgFDyWMAAAgAElEQVQIPyizqd59iCc+isDFy0BtlZXj+8qar9XrUdevZ+O+tYz3Gs/UMVPpF9qPWFssA4IH8PPPP5/xU5NIusyRIyJYaLiWlJUJy/vLLgN3d6rKrfztXjtFJRr+Om4v/WbFgIMD+Qn5ePTxOOPaD02RAUQXqKupIz8+n5DRIe0+7+zrjFdU++JTEomkCzg6wpQpIpgo7WD00t0dXn4ZXZAfa7VXsOGLHP6zzZdBU/0oOG4iP62qca2bG8UmE3WFqYycNYhDXx3C6G2k/x/645nlSeKu9qeqJJJepbIS0tKaC0d9/73Qgqgf3VzysjM7s4JZ8WAqV83T4TC4HwC5+3LblRc4U8gAogvkH8zHu693u5FdxuYMTvx2opePSiI5TzEaRRCh1Yq7r/bw9IRXXsHg78E6zXRef7aKYwWuDJ7mj0eAY7Oljj4+mOvq8C08SNSEQLQGLd59vXEf4Y6j2bGdHUgkvcyRI2LEuWEa0GKB1atPysB//l8vtm2xMfNKmOC8H21I4MlSR+y82F73XpIBRBcIGhFE1OVRbT5ns9jIO5BH4EWBvXxUEsl5jJMTTJ0q0rjl5e2v8/FB89qrOHo7s9pyBY88bMOqc8Rg1JK4qZCaCmF252I00i86mv/s2IHniX1UphZwZO0RNiVtYuL8iZSkllBbLnUiJL8jVVWQkgLe3o2PrVsnMnHz5nEg1YW/vhGJR7QPj849Skl6BcqgWAAKDhWg1Wt7vYQuA4hOKEsvozyzHIOzoc3n8xPycQt1w+hpbPN5iURymri4iCDCZoOOGh39/NC98QpGdwfey5/N4sUqqqrg7u9Awi8FJ8c7/3TZZWSaTDz28cd88NwTfLT0fSKcIhg7dizVRdXEfxaPxWTppZOTSFrQMvtgs8GXX0JMDMV9xzD38f64uCp88EIx+YeKCBnsheLvj7XW+rvJB8gAohOO/3qcuuq2LbsB3EPdiZjavu23RCLpBq6ucMklUFcn7tDaIzAQx7dewuik4dH917LyHSvB/d3wCjZy+NcCVFXFxWjkb9deyz3XXce0wQO498bh9KkOoiqvipAxIfgO9CX+s3istdbeOz+JBIQD9NGjzXsfNm2C7GxsC65nwbMDoaiIt6/ZiKexltrCSnxnCOHD/IR8PCM9Mbi0fZN7JpEBRAdU5lZSW1qLT3+fNp+vKa1BZ9S1a6olkUh6AHd3EUTU1HQcRISE4Pz2ixj1NmZ9dxO//VRF1AhPQga6NUvtBvv6MmjoUAK9DPT3L0VrFVmH8IvD8Rvkh81iO9NnJJE0JylJZB8aLLtVFb74AsLCePzIjfyyx517Jhxg6mV6DHqVUTO80fQRisf5B/N7vXmyARlA1FNVVcXChQubKVEWHi4keFRwm8JRAGnr0ihKan+0UyKR9BAeHo1BRHV1u8uU8D7oX38RJ00tES/dTWZCGd4hThRlVJOV2KIM4u2Nt4cNx/hdpK89impXCZsQhs6o4/iG49itvTdPL7mAqaxs3fuwYwekpbFr+B08/1U4d01I4NJJFvSOWpJ/PgGxA046dMZdH4dHhEc7Gz+zyACiHhcXF1auXMmsWbNOPhZxSQQhY9se3TRXmCk9Xor/EP/eOkSJ5MLGy0tMZ1RWikCiHZxiI6ha8iquagXKgw9QnVmEi5eBjEPlFGe2CD58fFCqq6jcsIuU1cLBUKPVYCo0CUdDu7QBl3QfVVXZsWMHr7/+Oi+++CL//e9/qa2tb9pNTBTBQEPvg6rC559j8Qnksp/+xtiB5Sy5p5DIizzJPVKBotpRokRTf86eHGxm2++mPyQDiHbI2ZtDWXpZu9mHnL05+Mf5o3OQauASSa/h4yMaK8vKoLb9qYnQ8X1IvPsfuFuLKLvjERxqyxk0xY/kLUVUlTRvlFR8fRkwxED5hr3kbE1H0SjEzo3FZrFx5PsjvWKLLDm/+eabb/jll1/4f/buOz6qKm3g+O9MTU8mvUACSSC00IsCAoIoKNiwrl0Re0HXZe27Fuy6q4uuvL6+6rrqWlYRLAgoiFKkJEAIIRBCEhLS6yTT57x/3FBCEkiQkATO9/OZD5mZe++cewncZ855znMmTpzIhRdeSGFhIa+++iqu8nLIydGmJB+wZQtkZvKsax6+/oL37tmEX4DAJ8BAYVopcVP6gb8/LpuLPcv3oDN23m1cBRAt8Lq97P1pb6szLwBihscQP16tuqkoJ11EhNYTUVkJDkerm429LI4lF71DkK2Y8lsfJshoo/+ECEy+zZc5NsREkjrSjHfjZrDb0Rl0DLpyEJYki6ouq/wu5eXlrF+/ngceeIBhw4bRr18/Zs+ejZ+fHxs++0wrnnbYKtDyw39TaYzklbpb+fSJ7VRt34+t1k1DtZMQCwScmQpoizeG9gk96n2qo6kAogVlmWX4R/rjH9nyIjvWYitel/eklgxVFOUw0dHa2hnl5VqxnVZcfV8kr4/4AP/qfdTcPo/QQBc6vSB7bQWeI3IcfHtH07OHpPLjpdiLq9Gb9ESlRlGZU8neVXs7+ISUU1VOTg79+/fH97DFsYQQDE9KYveWLU17H7KyEJs2Mt/1EK/NLSDZrxCTr56gSBMBBjsDLk45WDiqdHspPc/sebJPpwkVQLSgtrCWuDFxrb6/Z8UeavepBXgUpVPFxWmreJaWthpECAEPzA9nXs+PMJfk0XDvPPSOetxOL1m/VDQfnggPp76ohoz5X+OprQcgIDqA0oxS8lararNK+wUHB1NaWtr0RSkp27iR4NDQQ2teAHmvfEYlFsSMGcy+oIiCjFoSh4dQvd/Bzp9LYODAg9sOu3kYgbGBJ+s0WqQCiBb0md6H8JSWp27aq+3UFdYRMTDiJLdKUZRm4uNh/HgtiHC1XK/Fx+Tl4VcjmRP0CYa8HNx/fJh+w/1w1LvZm968VHaPsT3xN7vJeuErpM2Gyd/EkOuHUJxWzP7N+zv6jJRTTN++fXG5XCxbtgyvV+v12vnrr6zZsIGxo0cf3G7LknwSdv/Iotg7eO7+EoQQDJ0WTXCUD3kbSghJDtdygIBd3+06an2ik0UFEEfYs3wP1Xtbr7+/P20/kamR6I3Nx1EVRekEvXrBmWdCSQm4Wy4CFRvu5J4XenKd4WNEdhY88giDxgbiH9J8/FgIQcq03uhdDtw//AR2O+ZAM0NuGEJon1A1M0NpF51Ox913301aWhrz5s3j8Ucf5f3XX+fmGTOIaByOyCs2U/X3D6jUhXPxaxMR0sOudRUYzTpqSu04KuqJvPAMEIK6ojrKs8o7NffhABVAHMZlc1G0sQi/CL9Wt+l5Zk8SJiScxFYpinJMSUnagkMlJVoJ4BaM6lfHRfP68wc+gowMjE8/QWSsgeLdVqqLm87o0OkF/c5PRDRYqf1sKdhs+AT7YA40s/+n/RRtKjoZZ6WcIsLDw/nTn/7EvHnzuP2CC3jmwgsZOEBbx8Jq0/PUgzVMcq/AdeU1WCJNFO6ow2nzIHQCT52NxDERiJhoAPat20ePMT0Qus5P7lUBRCOr1cr9V93Pnpo9rUZ2tftqaaho6BKRn6IoR+jbF4YPh/37Ww0i/nBOKUl/GMP1vA9p6fDEE5iNXravLKOhpnmXcIMhmG3L9lP/5dKDBazCR4STtyqP4vTiDj0d5dQTHhhI3P796CIjAfB64fr5KdxU9Az2oAiibpiO2+mlYHstvYaF4HZ6sfjatN4HnQ6vx4utykb0sOhOPhONCiAaBQQE8MDdD3DRnRe1us3elXtpKG+9Cp6iKJ2sXz8YOhSKi1sNIp65OZeaM6cxRyyE337DsvAFkoYGsnVZCU5b032CIswknhVHxo+luL5fAfX1mEJMDL5uMHtW7FH/Hyjtk5WlDbM1VpF88r1e2H7ZxHh+xeeWa8FsxlrpJLKXH/4hJrJ/LmZ/EVrCMKDT6xh+y3CMvsZOPIlDVABxmKSpSQT3DG7xPXu1nbqiOiIGqORJRemyhNAy1QcN0noivM3LUev18NFjO9iQeBUPGF+HNWuI/vg1eg0ORLTwP2JMn0DC+oZTXWiFFSvA5cI/wp9Rd47CL9xPreCptE1trVZ1sjER8t/LInnmXwm8FTQPGRMD06cjvZKQaB/6nBGGrc5F1Z4qImeMBr0ej8tD2v+l4XF1nbVaVADRyFXnOmryZMnWEqIGR6nkSUXp6oSAwYO1QKKVICLQz8OS57bxn+A5/DXgRfj5Z6L/8zrS5SFnY2WzRMnk0aFEpMZQX+mAoiKoq8Poa8Tj9LDp7U1UZFecrLNTuiMpIS0NzGbQ6/l5SzA3v9SPJ3p9QK/abYjrrwejkZyNVRRmaSUCCtIqiOkbiCG5FwCl20oxmA1d6h7U7QIIIcR4IcQCIcSfhRDPCSFavZpCiAuEEPKIx6yWtvU6vUedU9tzXE96Ter1+09AUZSOJ4Q2lNGvnzac0UI56h4RDhY/u42X3A/wRvhf4McfMfzjNerKHOz+rbJZjQivR5KxyUHNXhssWwY1NehNegZeOZCsRVlU5lSepJNTup2iIti3D0JD2Znvy8WPDyI52soTnr9oU5GnTqWhxkVJjpWIBK2AYai/gx6XjgaDASklBWsL6HFGy2szdZZuFUAIIUKBt4EHpJTPA5XAfUfZJQ6YCPRufPQCvmxpQ71Zj97UcixSU1BDdW41Bh+17oWidBtCwLBhkJys9US0EEQM72vl48czub/yCT6Jfwjd0u8ZtO1jqovtzVbv1OkFgyZHUrqlgboaqQURVVUExQUx6MpB5P2cp9bNUJpzuWDjRggNpazayPkPD8agl6yc9jz6gr1w002g15OzoZL41GBMvnpq9tURGh+Aqb+2aJarwUVwfHCnrbrZmm4VQAA3AmuklAcK4H8J3HGU7SOAdCnl3sZHnpSyxTV69S3Uxz+gYE0B9prWF+5RFKWL0ulg5EhITGy1J2Lm2Apeu3M3V+e/wIp+d2H4bjGpu77A17/5/wn+FhPRY0LIy/VoaxgsWwbl5QTHBzP0xqF4XV5q8mtOxpkp3UVWFths2HT+XPjoIIrKTXzz+DoiPv+nNsw2cSJSSsJ6+hHXPwi71c22b/Jx9x0ARiNSSgxmAykzU7rcuizdLYCYCOw47HkOEC+E6NvK9kFSyjbVnBb6lv9inPVOqnOriRwU2a6GKorSReh0MGqUVnCqlSDi3lmF3H1JIedkvUH6iFvw+fZLwj//J0U7aqgpbfrlITDel4GTInAZffGY/WD5ciguRgiBrdJGxn8yqNilciIUtFVjMzLwhkVw/XP9WL8jiA8f2cGotP+Bqiq4806khKoiOzF9A9DpBfmbK4jtG4hpQLJ2iNxqtn64tZNPpGXdLYDoDZQfeCK1/sIqILaV7X2EEHOFEI8JIVYIIf7U3g+s2FlBWEqYWrZbUbozvV4rNBUfrxWbasFrd+Vw/phKRm5eSM7Zs+GbbzB//B7bV5Q0qxEhdIKCjFp2bGpABgXBTz9BYSEB0QGkXp1K1ldZKrHydOf1akMXvr48/G4fPl8VyUu35zCr33b49FOYMgUGDKAou478bVqvlaPBTemOcnpePgaM2lTNvNV5Xabuw5E69a4ohJgEPHaMzbZIKR9s/NkfOLLaixMIa2XfauBfUspyIcTfgRwhxFYp5fdHblhUVITFYiEgIIDAwEBmzZrFrFmzkEIie0jS09PbfmJKiyoqKtR17GDqGh+Dn5+2mmFFhfbzER55aBM5fzqD1DVvsm6aZPD3/0uozcN38mISpkdi8NFT4XaTbrPhTTFTsKKOojQvkUMCYe1aiIqCwEB0Q3Rs3bAVS4OlhUYobdHtf5fr6qC6mi9+7seLn8Rz+QV5TJ6xi6oX3yIY2HHdddir69mzoZyeU8LZYreDx415RjTbXQ2Qno6t2EZRRhFykOyShcs6NYCQUq4EVrZjFztwZAUNI2Br5fhPHvZznRBiETALaBZAxMbGkpmZ2eQ1a4kV634r0aO6ZvTX3aSnpzN06NDObsYpTV3jNnC74ddfteGMqKim7/nCypcyGHv3MKasfZMdlxno9/nbWHQQdvHdGHxNpNtsDG1cmjn1vDjSviumr8eMX5AJ8vO1nItztb+Dsh1lAET0V/Vj2qtb/y7X18M33/BVZh/mLxjI9DEVfDR3L4adubBqFVx7LQMTEsjfVkNAUhApsUE01Lio2rqfuGvPht69tcOU1tM3qS9hfVr7jty5utsQRgEQesRrFiC3jfuXN27fJkUbi1TypKKcagwGGDtWCx5aGM6IDnWy9MWtCAEjV/+NmmvvJOq3xXjnP0f26hKk51AOhdFHz8gLY/ELNuL06LVjbtgAW7eClPiE+JC9JJuyzLKTeYZKZ5ISNm7k551RXDV/CKNS6vjsye0YdF5YsABCQ+EPfwCg58Agkkdpt7S9v5XiNvhow2yAo9aBKdDUZYMH6H4BxK9AyoEnQoheaMMUO4/cUAjhK4Q4si51NLC7LR/kdXsp215G9BDV+6AopxyjEcaNg8hIbSnwI/TpYePb57dRXmNkwpoXsM2+G+Ovq3B++Cn7V5c1ma6p0wvsVjcbFhVRX+eFmBgtgNi4kcBIPwZfO5hd3+5SORGni7w8tvxqZeYL40iMtfHNc1vx9/XCjz9qlShvuQXp48P2lWU4GjzojTrqq5xU5VYTd/lYLV8HyFmW0+WXj+9uAcS7wEQhhG/j80uAvx2YmimEuE4I8Xjje0nAl0KIsxrfCwAmA++05YNq8msIiAnAJ8TnhJ6AoihdxIEgIjy8xSBiZEodXz6dwY58P6ZveBr3XfcxIPsrQj5dRM7apj0KPgEGkkdZ2LaiFKcTbe2CXbtg7VoCw30YfN1gAmMDVZ2Ibs5ut7NkyRKee+45Xn75ZVavXo338Eqn9fXkfL2d814+hyA/N0tf3EpYsFsb0vjnP6FPHzjvPIp21uGod2NunCpclVNJ/PBwDIla70NDRQNVOVXEjmxtfkDX0K0CCCllIXA/8I/GQCEGeOmwTc4ApjZumwFcCNwvhHgM+DswR0rZph4IS6KF1KtTT2TzFUXpakwmGD9e61ZuIYiYOrKK9/+cxaotIVy19RG4/35G711M2CcLwOFosm1UUgDRyQHsTa/WiljFxEBhIaxaRUCwAVOAiczPM9mf1rW/VSotc7lcvPrqqxQXF3PZZZcxbdo01q5dy7///W9tA6+X4qVbOHf+RFweHT+8tJWekY2/I+++qyXuzp2LwyHJTaumx3B/PF4vUkp6xHjocc0EbcoxkLcqj7gxcV1+9l/Xbl0LpJQ/AD+08t5dRzxfAixp72fYa+wUpxfTa2Kv42qjoijdiMkEEybAzz9rQURk05ovV08ppaTKxNwFydxleYA/3+8l4e9/p/De59HdfScxqYcSJBOGBCO94HJ4MJh0iKgoKC/XFuGaOJHek3uz5YMteByeLleWWDm6TZs24efnxy233HKwoFOfPn147LHHKC4uxreonmlz+1FS48uKV9Lpn9C4UuvOnfDVV3DhhdC/P7/9lsHS/DS++G8tQsIgWwqX3TiOoOhDw+W9JvXC6N81Vtw8mm7VA3GylGwtwVmnVthTlNPGgSAiNBTKmic83n/ZPuZdnc8/v47j6f13wSOPYNm1gdyn/01F5qFETCEEOr1g9/pKcjc3Ls4XHg5OJyxdip/OwbCbh1G4oZC6/XUdekpSSjIyMvj0009ZtGgRJa3Uv1DaJicnhyFDhjSpBmk2m+nfvz87NmzjwmsCySwK4b9PZTBmQOPfrccDr76qTR2ePZvfNmfz7eZ13HzdFF676y5uO+tSSssrWWEr03qtgMINhRh8DV2+9wFUANGMlJKSLSVEDYk69saKopw6DgQRFkuLQcRzt+7h1guK+N//JPNcyc34PfMIg6pWk/XYh9TtbjpHP3l0KGV76yna2XgjsVi0lRh/+AGfhipG3j6SwJhA6orqOiQvwuv1snDhQr788kuCg4Nxu928+OKLrF+//oR/1ukiODi4xSCsML+Ypx7tw+qdEbz/5yzOHVV16M2vvoLsbLjrLjxmP378IpsLBo8lMTYWj9tLZVoNV989nZ/T0nC5XNQW1pK/Oh+doXvcmrtHK08ie7UdoRME9Qjq7KYoinKymUxw1lnaDf+InAgh4K252Zx/diGPvJPI34suJ+iFR0ltWIffE3/UFuxqZPTRk3pOFPnbanDaPNqLAQEQHAw//og+LxcpJbu/3032kuxmy4f/XmlpaVRWVvLwww9z3nnnMWvWLB588EE++eQT7HY1Nf14jBs3jg0bNpCRkYGUEo/Hw3ffLePj989l5bZe/OPeXVw95bDfmbIyLfdh1Cg4+2z2bKrCqq8jZYCWGCldHuL7mEm45GwMBgMNDQ3k/phLwoSELrVk99GoAKKR1Wplzpw5LP9lOSNvH9nlFi1RFOUkMZu1IKKFxEq9Hv76wDYuOauM+xf04Z39FxD06l+hzkr6nDexZ+45uK1fsJFRF8di8tUfCiJ8fLRaEevWIbZsIfXqgdgqbOz4cgdeT4vr/B2XLVu2MH78eAyGQ93gsbGxxMfHk52dfcI+53RisVi47bbb+PTTT3nkkUd46KE/8+hDEezYO5JX79jFnRcXNd1hwQKtaNl992GzuqnYZyNuqD+Ze/fitHlwFpYRd9EoCqqq0Ol0GD1GnHXOLlu2uiUqgGgUEBDA2/98mxRdippqpSinO7P5UE7EEUGEQS/5+LFMpo2uYM4rffl34ST0f3uFcFHOlgc/wLE16+C2eoOOhhoXG78uOrSehsEAsbGQmYlh43pSL0/B6GfE4/ScsOYbjUaczuZ5XE6nE6Ox6yfndVV9+/blr3/9K/feez9lhU+Qtn0oz964i7lXFDbdcPVqreLkddchY2PxDdSCyfPHjubrNWv45vONZO+sZavDwcKFC5kxYwZ+oX6MvH0kOn33uS13n5aeBJU5lVj3W7vVX6CiKB3kQE5EC3UizCbJf5/azqSh1Vz/fH8+yj2THm8+SrRvDdse+hcyLe3gtn7BRnoPC2HrspJDPRE6nRZE7N+P/ueV9DkrBp1Bx87FO3HW//4E7tGjR/Pjjz9SV3coUTMjI4PKykr69m1t8WKlbQTPPhXOh58G8vgVO3nkhiOCh6oqLXGyTx/klVeSuaqcioIG9AYdCdHRzJ58ITlbi/ioMo3vli/n4osvZkD0APYs34PQda+e766f5nkSqeRJRVGaOFAn4pdftLLXh62d4Wv2svjZbcx4JJXrnuuP98+Ca//5MBEPPo6YNw/vw4+iO3siADF9A3E0eMjbWk2fMYeVJo6M1G44S5eimzABk7+JtHfTGHztYHwtvke2ps1SUlI488wzefLJJxk0aBBWq5X8/HzuuOMO9PruMb7eFXm9cO89kgX/1PPHmVn89fYjFriSUgse6uvh1VcpyXPQUO3EEht+cBP3bjdXXz+RuLsuBp0O6ZVsfHsjvSb1OrkncwKor9qHqS2sJXJg5LE3VBTl9HEgsbKFtTP8fb0smb+NiUOqueH5fvwrPRW/BS9RkTCcLU8twvP5lwe3TRgSTNLIUJw2D97D1tPAYgFfX8SyZfRO8NJjTBzp/5eO2+7+Xc2eMWMGjz76KCkpKYwbN4758+eTlJT0u455OvN64Y47YMGbgocuyOTF+/fTLFXuhx+0YHP2bOwRPcnZWEX/CRHo9OLgQfoN0BN71aGiUfvT9mPwMRDeL5zuRvVAHGbMvWNU8qSiKM0dKHu9Zo2WXe97qHfgQBAx85FUbni+H3IeXPf6k5TOXUjGgpWkVlWim30zQgiEHnLTqpBeSBkXduj/Gz8/7TPWrSOuXz9Crx2EwceAo86BOdB83M0OCwtj3Lhxv/fsTzgpJWvWrGHdunU4HA4GDRrEOeecg18LS6x3BR4PzJmjTap45MIMnrmnBKE7oientBTeeAMGD4ZZszBKQf+zwgkINQHgsnvI/mEvA65MRUQcFixISJ6W3C3vPaoHopG73o2j1nHsDRVFOT0dCCICArQpm4clW/v5eFk8fxtThldx4wv9eGdFIv3euAvDsMEUfLQaXnpJuwsByaNCaahxkbOhqmnCttGolb/OzsZ363rclbVsWriJkq2nXgGoTz75hJ9//pmpU6dy5ZVXUllZySuvvNJi4mdn83jgppu04OHJS7fxzJ1FCMMRwYPXCy++qG08bx77dtbjqPcQGnco0NyzvgyTWSAGH1oiwVZpI3ZkLIExgSfrdE4oFUA08tg9mPxNnd0MRVG6MoNBG8pISIDi4mZBxNfPZjBtdCVzXknhlf/2pv+LN9Hz2ok4v1uBfPQxsNnQG3WknhNJTakDW+0RwxQ6nRZE1NZi+GkZQ6bHsWfFHvJ+zjtlZoeVl5ezYcMG5s6dy+DBg0lKSuKGG27AYrF0uUJXTidccw3861/w9FUZ/OWWAoS5hfvEV1/Bpk1w552Uu0Mo2F6L0Xzo9lpTaqciu4LeN0w42Htlq7Sx+Z3NuGyuk3U6J5wKIBrpTLpuU/1LUZROJASMGQO9e0NRkfbts5Gv2ctXT2dwxaRSHvpnEk9+kIi4+Sb2XHgfWb/VIh94ECorMZr1DL8gGt8gA3UVLfR8hoaCry/+ab8wfEIADeUNeF0nrk5EZ8rNzSUlJQUfn0MrHQshGDp0KHv27DnKnidXfT3MnAn/+Q+8dNN2HrsqRxtqOtLOndpKm2ecQcNZ57FzTQUDJ0Vg9DnUS+Eqr6HP5B4Y+iYefC3nhxx6ju2J0bf7TqtVd8xGdo+dOXPmsHjx4s5uiqIoXZ1eD6NHQ0pKsyDCZJR89Fgmsy8o4pl/9eLeN5JJumsazkuuJGu3AXnHnZCbixACt9NLxopSSvZYm3+Gnx9ERWHO2kr/yAqw28n6Kguntet187dHSEgIJSUlzXpUSkpKCA4O7qRWNVVZCeecA8uXS/73/m38ccZOrYrokerq4C9/0QK+P/8Zt0uSNIHcGuQAACAASURBVNJCUMShvJX6CjthwW4iZk08mDhZnVeNtcTa7RdUUwFEo8CQQBYuXMjMmTM7uymKonQHOh2MGAGDBmlBhOdQISi9HhY+mM2DVxTwjy97cNNLA+k7+yxc191MvdMI99wDv/2G0axn8NQocjZUUVHQ0PwzDhSd2r8f3Y/L8BEONr+zGWtJCwFHN5GcrCUMfvfdd7jdbqSUZGZmsmbNGsaPH9/ZzaOwUCv/sXmz5PMnt3Hz2CwtQDiSlPDCC1Bejnz8cUoq9ASGmYhODji4SUONi/QvcnAkpGgLajUK6hHEkOuGdPtebzULQ1EU5XgJAUOGaDf69HQtf6GxzoIQ8NLtOYQGunj0fxMprjTx+V/0BEx7hfIHnyPszw8j7rsX/4suYtDkSIp21hHWs4UuciEgIgJhtdKrdjt+iYls/WALo+4ajdGv+3V/CyG4++67ee+991i+fDk+Pj7o9Xpmz55NeHjnTmXcsQPOPx/KyyXfPbeFyXE7IaKV2kCffgq//gp33cU+2YOSjFrC4/3QNxaDkl5J1opCEoaH4TNmyMHdircU4xvqS3DPrtHb8nuoAEJRFOX3EELrhTAaYcMGLcmysVy0EPDItfn0jHRw84spnHXfcJbM30rVZXMp//YLUv72N8S+fQTdfjtB48Ox1blwO70EhrUwdTMgAHx9iSzOIWRQNEbppHafjcC4wG43BdBisTB37lyqq6txOBxERkZ2+jmsXAmXXAImk+SnlzczMmR3k8JhTWzbBgsXwoQJlA6fxr6NVQw7Pwb9YT0KZblWdA4bcdeff/D3wV5jJ2dpDsNuGXYSzqjjde/+E0VRlK4iJUWb5llaqqXvH+a6c0v4/oWt5Jf6MO6eEciUFGwXXsnOM29Efv45PP442GzUV7nYtrwUa2UreQ56PcTFYbLV4P16Cbs+XM+OzzNP6DoaJ1NISAhRUVGdHjx88AGcey7EREvW/3390YOHykp46imtt+mhh6irdJJ6ThQ+AU2/j0f41zPohhGISK04oZSSXd/soscZPfAL65r1LtpLBRCKoignSu/eMHEiVFSAzdbkrSkjqvnldW2NjIkPjmBf0ABMsy5E3n0vrF8Pd99NuL6K5NGhbF1WQn3VUZIlQ0PRhYYwNKYEXc5uNr+1HnuNWqa7vaTUciBvuAHOGudlzXOr6KXLbz14sNvh0UfBaqXhwcepcxhJGhl6sFgUaEMXW5fkY3cbMYwcevB1t92N3qSn57ieHXxWJ48KIBRFUU6kHj1gyhSorQVr02TH1MR61r25meQ4Gxc9OYTPsgfjPG8m2Tc8i7e0HG6/nciy7SSNshxaeKs1ZjP6+DhSEh3Ee3IxVpXhcf6+8tenk4YGrcbDX/8KN17r4ru5PxDiLtfWJ2mJ1wvPPw87d+J86FG25vhTX9W8hkP+lipkfT0+556llUEH3A43Or2OAZcNOKUWazx1zkRRFKWriIyEqVPB4YCamiZv9Yhw8MvraVwxqYw/L0zi5lcGYo1OZtu1L+CJjIY//5nQnz8nsyybT/+zlm2Ze1svIiUEIjKSqP6h6H/9mYxnFrHnmx14PadGzYiOkpsLY8fCJ5/A/MdtvHvpN5g8Nm3l1db87//CqlW4Z9/OVmsi0ckBTWZcANSVO9i3YT8pfxh5cOgCtJoPeavzOup0Oo0KIBRFUTpCaKgWRAihjZsfxs/Hy8ePZzJ/9h4+WRXNrZ+dS61/NBmXPoH1zLEY33+f2DfewOu08vn/bWbBJ1/j9hylR8LXF2Jj6d/HjfWHX0l/eQX2yhamhSosXw4jR0JeHnzzQQUPD/xaK01tsbS+0/ffw0cfwYwZOKZfRFgPXxKGNJ9FYXDW0//saHzOODR0UZ1XTeWuSuLHxXfE6XQqFUA0slqtqpCUoignVlCQVpHIz09LrjyMEPDwNfkseiaDXUV+XPo/08nzSeGV5GT2XHIZvXNzuWr5h9x6wUDqtxv4af2Wo3+WEJh6RpF6fk/CG/KxffsTsqqqA0+ue5ESXn4ZzjsPYmIkGz7ezXS+0wpEBR5lLYr0dHjlFdzDRrF30o34BZvoPdzSJPFTSknBlkqMbhuhl085OOtCeiXZi7Ppc34fDD6n3qRHFUA0CggIUIWkFKWLklLiOdo38K7Mzw8mT9aGNY5YhAtg5tgKNry1iZhwFxc9M5pVv55PSdzFOJ59GWpr6fHSA5yf4CA9b1eb1sMQZjPxZydhCXBR8Lf/kv3GUjzW07s3orwcLrwQHnoILr3Yw7pX15JcsV6bSXFYSe1mMjPhkUdwx8azZewduD0CWpgwUpRVR8mWYnSjRjYpGCV0gkFXD+qWS3W3hQogFEXpslwuF5999hlz587l7rvv5qWXXupS6yW0mckEZ50FiYnNqlYCpMTbWP/mZq49J5efcq5g/rdD+WlnDLZX3oSEBFI/eoMpq38hbfE+GmrauPhSSAixZ8Tjzs1n430fUrsmo9nnng5WrtRqff3wA7z+XD2fXreEgJpCrcKnXt/6jrt3w7x5eELC2DJtHsHxwSSNsjSbclpX7mDvmiIGzuqHLqXPwdfLdpRRsLbglJmy2RIVQCiK0mW9//77VFRU8OSTT/KPf/yDCRMmsGDBAkqPGA7oFg6snzF4sLaSp6tpIOBr9vLBI3u5dMLb/FjYh7mfjeWTZWF4Xn2VTUOHMnxHBjGfvU76J1lHn+J5GIOvkQEX9qH3mEjKlqyD779HFhU16wU5Fbnd8MQTWudPQIBk3b92cU/Pr7R8h4gIbQypNXv3wh//iPT1Q/fKi/Q8I67F4AGgfn8tfcdY8J0y9uBaF446B7u+2XVKVJs8GhVAKIrSJVVUVLBjxw5uueUWLBYLer2eMWPGMGHCBFauXNnZzTs+QkBqKpx5JpSVNasVIYTg1TuCuWryPBr8BTd/MpXRt/nxQ8p0PM8+S0xtNkn/fYltC37G6277TIvIviEknZuMzeom7clFWD/7VsvJOEUDiR07YPx4ePppuP5KB5ueW8Ywz0aIjtYqeh7Nvn3w4IPU6wLYeMGTuC2RRPb2bxY8SCmpLrQSHeYi4qopB4dCpJRkfZVF7MhYgnoEddQpdgkqgFAUpUsqKysjNjYWo7Hpeg+JiYmUlJR0UqtOkMRErVZEXZ1WL+IwCdHRLLh/Ou8//DXXTFlN7r7BrFo8jf8Wj4d33iGqn4URK15APP0U9sKKdn2sT2QQMaN6sOXbIva8tgjPD8tPqUDC7dZKNQwbBrt2ST6av5f3Zn5BgNHRZJ2SVhUUwIMPUukMIH3qQ/QcF99kWe7D5W6qYu+qfOTw4U2mf0qvxJJoIWFCwok8tS5JBRCKonRJ0dHR7Nu3D7u9aYXFnTt3Ehsb20mtOoGiorQpAaBl+R3Gx2Ri0tCBfPiYl+Vv7aY0rD+vvGHitpeTKXviDYy33oTt181smvM2ld+ubfNHCiGI6RvIqCsTcQVa8NbW4126TEsQaCE3ozvJyNA6dh5+GGacbSXzhSVcnbheu85Hm2VxQFYW3HMPHoebPRc9wKBLU5rVeTigeLeVsowSBv5hCCIl5eDr1mIrDWUNxI+LR+i61/okx0MFEIqidEkhISGMGDGCt956i4KCAqxWKytWrGDdunWcffbZnd28EyM4WKsVERqq5UW00BMwvK+Vte9kMuWKcD7f2IuUG8/gLb8HMC94lUGhRex4aQklf32r2XDI0Zh89aSMDccYEULWHhOZK0txfLsCliyBXbu0ks3dRG2tNrti2DBJXq6HT/+0gc+v+5qoeLMWPByr1wFg40bc9/+RfH1vdK//jRG3DCY4quXZGVJKSreXMWhaHMZxow/mUrgaXGR8kkFDxekz40W0ZVrQ6WDAgAEyMzOzs5txSktPT2fo0KHH3lA5bqfaNfZ6vSxdupTVq1dTX19Pv379uOiiizq1B6JDrrHbDZs3azfvqChtefAW7Mjz46HnQ9mfVYOxTwIL7s2m3w9vULh4M30iaxAPPqAlaraDx+Ulb2sNRdl19OrvR49ot3ZT7N1bG2oJDT2YHHgyHes6e73w4Ycwb56kpARunpLPc7M2EpHgpxXWaqsff8Q6/3UyQ8YSPPty+kzthU7fcu+B3epG77Jj9Ni13qPGng3plWz9cCsBMQEkTU1q13l2JiHEJinlyOPd/9SrbKEoyilDp9Mxffp0pk+f3tlNOW6FhYUsXryY3bt3ExgYyMSJE5k4cWLTpDyDAUaN0moIbNig3bRbuAn2T2jg6wX1vPt/Oj777w4m3TOUi6e+xgtPLML+zkuUzltA/DnLEXffpfVutIHeqCNxhIXYlEBsdS5klA+V+fWEFhQgdu8Gf3/o0wfi4rTCWF1g6fB16+CB+9ys/c3A6OQqvr5rA6NGeME3rO0HkRI++4z6tz5gS/Q0kh+5gqjUVtbBAFwOD1u/LyI+zkP07BlNhkXsNXZMgSYSpyT+ntPqdtQQRiNViVJRlBOttLSU1157jb59+/LYY49xzTXXsHbtWhYtWtR8YyGgb18tudJqherqFo+p0wlm3yJ580Ur90zcyuerIug1/1YeHbqEwuEz2fljId4bbtJqNrejh9knwIAlxheX3cverbVs+tVBhScEaTbDtm3w7beweLH2c3m51mtykqX92sCMyfWceSbkZLl59/bfWLtgM6PGm9vX62CzUf/485S/9Sl+E0Yy6q2bjxo8uJ1eti4tJizAQfRVk7RpoI3q9tfhE+xD/0v6nxZ5D4dTQxiN1BBGxzvVute7InWNO157rvHHH39MQEBAkwq3tbW1PPnkkzz77LP4+bVSZMhqhV9+0Rbiiow86rf+nBz42zv+vLV+BH4mN4/3+4ypxR8wtOQHrebEPfdAcnK7zlFKSXl+A3vTa0gaacESq+UDCKdTSzrweLQ2xcRoBZksFu0bucl0jCO3XXp6OkP79YOaGjJ+reEvrwTyxZoYQvydPDQrl3uuLCXQr/1Jn57cfPIffouiUgNJlwwm+u7LjtmrUrmvgfL0AvrcMBaRmnrw9frSetLfS2foTUPxj/Bvd1s6mxrCUBRF6aIKCgq45JJLmrwWFBREeHg4ZWVlJCS0MtUvIEDridi0SYsQIiMPrq9wpPg4D7PP3sMFqQW8lzWGeauv5jn9Bbw6YCGX57yE/223wcyZcPPN2hBEGwghiEjwJzxeC3BKc+vZl1lHz4FBRCSEa9+0PR4twCkqOrSjnx+EhWlDMIGBYDZrD6NRG6bR6Q7lU0ipHcPj0YpqORzao7YWKiuRZeUs/aSKv32fwvdb+hLo6+aJ6/cy9/J9hAQcZ+/HL7+w65nP8eoNjHx6FuZxR793ej2SqiIbYYYaQq8YBoMGHXzPaXWy7eNtJE9L7pbBw4mgAghFUZQOEhERQV5eHn36HCpxbLfbKS8vJzQ09Og7G40wZoxWY+C337SbfwtFkIw+egafE0lgWjUPBa7imTm9ee3zeP703Rw+dA7njvDPuPTrd+CnnxDXX68FE23sKTiQpxHZyx+dXrAvs46cjVWMmBGDyVevBQmHT5F0OqGiQgsq3O6m3+wP7+1u7Ru/lFjdZv69NpEXlgwmtyCQ6FAHT92Uy50XFRIW3P7AQUpJxe4qCt5cwqD0f9G3bzK6px7WklWPtp9XkrmqDGpqCJ2Vghgxokm7SzNKiR4aTdTgox/nVNbtAgghhA6YBTwMnCulLD/G9ncCB1K290gp3+3gJiqKogAwZcoUXn/9dSIjI0lNTaW6upqPP/6YYcOGEdiW2gRCaMMPoaGwerVWvTI8vNkNWOgEiSMsuAYFYTDZeeLCNP5yYwhv/iuC//nuGv4ur+GZhieZ8I9/4Pz4C0yzr9emj7ZlimPj8SMS/IlI8Ke+yonJV8++zFqslU6ikwMIjjJrwYbJdFzDGC63YNlGCx8ui2LRmnAa7Hr6J9fwr0d2cMWkUkzG4xtqry1zsPOzrYhlP9CrOh3DZZcgbp19zDZ6PZKsX8rxVtUw6KIkxJlnHrxW0iupL6snbkzccbXpVNLtAgjgUSAFGMYx2i+EmAycI6W8tPH510KIbVLKDR3fTEVRTnfx8fHcfPPNfPHFFyxcuBCDwcC4ceOaDWscU2goTJsGGzdq6zS0MqRhNOtxOTwU7qjDYKrn4dnh2K/xsmSJ4PXd/2H+r+k8XfEoo154gZK3/kvFrDn0vXoEBmPbk//8LdrNN7K3P1JKdv9WidvpZdTFsQghEDpaXDPiSFabnp/SQvhufSif/xxBWbUJS6CL688t5rqpJfgmljDMrx2JkY1stS7277ISEycwvf8+Sd//jCXSiHj1Ea1EZRtIr8THU0/C9J7oJow/tDy3lGQtysLr8jLwioHtbtupplsmUQohkoFdQIyUsvgo230N/EdK+e/G57OBM6SUs4/cViVRdjyV4Nfx1DXueMdzjaWUOBwOTCYTut9TU0FKLSdiwwZtOKOVXgzplexNr2b/bisjZsRg9jNgt7rZ9GM1m+r7U7VsI1fkPk9/ssjW9eWnvrfjnnwuo1PtDEmytvsbv63OhW+gkdzNVZTsqSeshy+hPXyxxPgerKlQ16BnS04Av2YEsXRDKL9sC8bl1uHn4+GCMRVcO7WEaaMrD352us3G0DbOrJBSYq10kr22Enutk6iK7fRc/h5mawVcdhnceGObZmm4HB5yNlSRnOjFEB4CEydqORyNn7H7u91YS6wMvnYwemPbem+6stM1ibKtA2ETgb8c9nwH8NQJb42iKMpRCCHw8Wm5smE7D6QNaYSFwZo1WvXKyMhmhZ6ETtB7uIWIXv6YfPXUlNjxtxiJizegy97MgOeiwOct1n24ieil73Fb1gMUZsXyGnOZYbiZpBQ9g3rVkxRnIzHGTmKMjYRoB8H+boyG5sGFb6D2DT12kAWbXyg7drgo/NVJVUQPdmZB3i4nO8rDqSUIOz4MTqzn/ln7OG9UJeNTazCb2hewOBrcVBXZqSmxU11sp/+ECHz89fT27say/D1E7h5tBsrdz2o1LNpyzHo3W5eVEBrgRB8W2yR4AK3SpL3GTurVqadE8HAidNcA4piEEKFAEHB4jkQFECWE0Espu2/Rd0VRTm8WC5x7rlaTYceOVgtPBYRqww2lufVUrLbRb3w4gWEmdq6pYMTMGM64awTcORy5YSNhH/yHl7c/xHz5OMuLLuWNvNv5H+t4oOlwhNnoJcjfTaCfBynB7tQdfNgczW+sfSIqGR1TwOSB24nzr2LSxSHERHrJ2ViFj1tPabaBkBgfAsPMVBQcKgNd73JAoi9lefXUljqw13uw17kYOj0aa4WTin02giPNxPX1xz9zHeLjjwnduRN69IAnn9QCgDYWvfJ6JOlLS4gJdxI/PgHGjWvS81CypYTI1EhSr049xpFOL506hCGEmAQ8dozNtkgpHzxiv15ALkcZwhBC9ATygVgp5f7G1xKBHCBcStlkGbvo6Gh5eFb0rFmzmDVrVntORzmGiooKwsLaUSlOaTd1jTtel7vGNtuhdTR8fFq9adbts1HyWzXhqUEEJ/mBgPKtdVj6+mPw1W78vjk5hH37LZaVK9HbbNQnJLJz5Aw2xE4nxxFPvc1Ag82AtcFAg02PEGA2eTCZvJiNXnx9PERF2IkOt2l/Rtjx9Wn6XU1KidclaSh24Grw4LK68Y/xISDOh6I1lXgcXpDgDNaRNCKUunwbzjo3Rj89xkADPhYjQi/QW61YfvyR8MWL8SksxBEdTclVV1E5ZUqbk0MBHDUuzEEGnCW1mKKDtdkZjT06UkpKfynFVmqj54ye6M2nVs/DsGHDftcQRnfNgejFsQOICKAUSJBS5je+lgJkAf5SyiYrnqgciI6nxuc7nrrGHa9LXmO7HbZsgd27W+2NAHDZPXi92v/5taUOrFVO9u+y0m9cOKFxh+3T0AArVmiVJ3ft0l4bNEj7Vj9xYpNKjB2lxRwIj0erjbF8uTYrxW6Hfv3giitgwoR2BQ7SK9m7pZri7DpGjRYYBqbAiBFNZlvs+HIHjloHqVenYvA59TrsT9cciLYoB2xAKFpPBI0/lx4ZPCiKonRrPj5azYiePWH9eq0YU0REs9wIo492c7RWOslNq8Y3yEjicAs7fy1nwMSIQytQ+vlp9SJmzoT8fFi1ClauhAULtEfv3jB0KAwfDkOGtG257ONVUwNpabB2rbYIRm2ttj7HlCla+w5bTrutXA4P238qA4+bESPAMGoYDBx4sPdGSgkCQpNCiRgYoXIeWtFdA4hjDmxJKaUQYi3alM/0xpdTgFUd2TBFUZROExsL558P27druRFBQS3e3ANCTYy8MJaC7TXkplUzvLEwVHl+AwaTjpDowxI+4+Phuuu0R0GBVmJ782ZtbYwvv9Ruur16aSt3JiVpwUXv3lq9inb0CCAlVFXBnj2wZw/x2dnaz7m52vuBgXDGGTB+vPbncZbNdju96A06IiIFsVE6xPiz4LCKoPZqO9s/3c6AywcQPTT6uD7jdNFdA4gDdUOb9G8JIaYB50sp72186XXgOuA/jc8vAl46KS1UFEXpDGaz1jMQH69N9ywq0m7mR9xwdXpBwuAQegwIQm/QsWt9BW6nl6oiOxG9/EgcbkFvPGLKac+ecPXV2sPl0oKUtDTIytISOlesOLStENrqoqGh2sPf/1Ap6wN5GrW1Wg9DdbX2sNsP7h4QFqYFJJMna/Ub+vVrX0ByhANTNB31boYM1xOX5ANnnaW1rVH13moyv8gkflw8PiEnYNbMKa7bBRBCiKnAfY1P3xZCLJBSHljabjBwvhDiQSmlS0q5SAjRRwjxCuAEvpFSrumMdiuKopxU4eHaTI3cXK3HQAht+ucRwxp6g/Y8KjGAPZuqEDqoKrKz017BgIlHyXUwGrWpkoMHH3qtrk77vL17tRU7Kyu1XoWKikOJnl6v9qeUWq9CSIgWmAQHQ3T0wV6MTJOpzXUgjqViXwM711QQHufDwBQ3RMZoQz6HTa31erzkLMuh38X9CE06RplxBeiGAYSUchmwrJX3XgRePOK1l09GuxRFUbocvV6rGxEXpw1rZGdrCZYhIc1mawRFmBlyXhRVRXZcdg8Rvfwpza2nbG89vYdb8AtueTGvJgIDmwcVx8tm+92HsFY68Q0yYDTrGTjSj2AfBwwfqS2b3hhIOeudFKwpoPfk3gyfPbxNVTQVTbcLIBRFUZR28vWFkSO1YGLLFti3T7vZH7E6pxDi4GwMt9PLvu01lO5tIH9bDX3OCCNhSDDGbjCV0VbrYu+WGioLbQw+O4wgWQtRgTB2slZDo1FFdgU7F+8keoiW66CCh/ZRAYSiKMrpIiREm+5YVqYFEoWF2tBBC6t8Gkw6hs+IpabETs7GSsrzG4jpE0BDjYsAi6l5fkQXIKXEafOw+Zv9xPUPYsyUAAzuGkhN1XIoDIdueXVFdez+fjcDZg0gpFdIJ7a6+1IBRCOr1cqcOXOYOXMmM2fO7OzmKIqidAwhtPLX55wDJSWwdasWSAQEaMHEEYKjfBh+QSxSSmy1btZ+uo+6cgd9x4bT/6xwbVnv38nj8bA2M5O0XbsQQjAyJQVzr15t2tfrkVQW2ijaWUdQhJleQ0M444Iw9HXVEBoNI87WAie0PIeijUXo9DpiR8Yy6q5R6PRdLxDqLlQA0SggIICFCxd2djMURVFODiG0pMWoKCgt1XIkioq0WRwWS/P1NYTAL9jIgMuD+HlZFquWl7EzI4SLbh9EeX4D4fF+mP3af0uRUvI/33yD1WZj8rBheKVk+aZN9NbrGdZKjQcpJR6XRKcX/PZlIWY/PTF9A4mMM8L+/eh9fbWCV3FxB3M9ynaUkftjLuZAM8nTkgFU8PA7qQBCURTldCaEFkRERWkzJg7UXzgwDfOwmQor09P5Zt06xg0aRFgfM2vT07CtKCOuKJG6SieRvf3pNz6csB5+OOrdmP2PfYvZWVBAcWUlj113HYbGaZpDkpL4v61bySsuJiFay0/weiRle+up2m+nstBGdHIAiSMsDJsejVnv1treYIJRo7S6FAYD0iupL7USEBVAXVEdSVOTCO0TqnIdThAVQCiKoigai0Wb3jh4sFY0KitLm4ppNlNrNLLo11957NprCWsc6pg8bBjPfvghIyb3Iakumty0anLTqgmO9GHD10Xo9QJ/i4mIXn7E9AmkptSOTi/QG3QYTDpMvnp25uczNDEJPAKH3Y3RR490CfwqfVi/Yy81kYLo5ADC4/0oL7AREmUmYUgwvgEGqK3FbLVqNSYOVOI0GnE1uCjeUEDRhiJ8QnwYfN1gEqckdvLFPfWoAEJRFEVpytdXm+qYnKwFEHl5ZHz3HQNCQghzu7UiUkYjZpOJsYMGkbkvlyvOPpteQ0OwW90YTDqCI8w46t0YTAKdXvvGX7zbSl25E4/Li8GsZ8SMGDyFZvK3VbM2vwC9UcfQaVqPQ0OFk9AAH2JTAgmKMKPTCwZOitCmd9ZWgtWrDcGMGgWRkXg8ULuvFktvC3mr83DVu+h3cT+C45vndSgnhgogFEVRlJbpdFpBqvBwjE4nzlWrtOGBvDxwOgFw1NRgMGo1IoRO4Buk/TxgUgQVBTYq9tko3l1PVGIAYT38sMT44m8x4te43TkzBvDXiveZOi6Zgb0TkFKSvns33iQ3kwcPxkev1xb3Kq7X2hQYCMOGIWNiEIGBlGwroXh5BrUFtQQnBBOSEELyeckn/VKdjlQAoSiKohxT6rBhfPzZZ+SEhJA0fDjU1FCZk8MvixZx36RJWqVJ0IIOsxm9jw+RCb5E9vY/eAyvR1KaW0/9ZidOm4dxV8cj6/VcnHQOH326GqNxNV6TDel1MWHiDBzZJTR4BeaEaPxHDyR/t5O6Gg8Ny2vQm6wMnz0cnUFH3Kg4Bl4+8JRcMbMrU1dbURRFOSYfHx9uueUWFixYQFJSEmazme3btzPz1lvpMWmS1ktQV6etbVFRoa1zUV6ukUndlQAADHNJREFULcEtBAhBpK8kcgCAAY/HgK68FF2lix4GA9cOOIPiWhsxI8PpNbAvS5fkkhMXhz7Yj8ie0fgnxmCs3k94jA7/s/zxDdMKXkX07/ilxZWWqQBCURRFaZOBAwcyf/58tm3bhsvl4rLLLiOkscYCAQHaIybm0A5SavkSBx5er/YA9EKATkegwUCgwQAmE/0PWywrIcDI0KFDm3x+zPAYlK5DBRCKoihKm/n4+DBq1Ki2bSyEtgrocS69rXRtqopGowOVKBcvXtzZTVEURVGULk/1QDRSlSgVRVEUpe1UD4SiKIqiKO2mAghFURRFUdpNBRCKoiiKorSbCiAURVEURWk3FUAoiqIoitJuKoBQFEXpRFLKzm6CohwXNY1TURSlE2RmZrJo0SLy8vIIDg5m8uTJnHvuuQghOrtpitImqgeikSokpSjKyZKTk8O7777L+eefz5tvvsl9993Hli1b+Prrrzu7aYrSZiqAaHSgkNTMmTM7uymKopzifvjhBy666CKGDBmCTqcjNjaWW2+9lZUrV+JsXCZbUbo6FUAoiqKcZCUlJSQlJTV5zWKx4OfnR3V1dSe1SlHaRwUQiqIoJ1lMTAzZ2dlNXquoqMBms2GxWDqpVYrSPiqAUBRFOcnOO+88lixZwoYNG3A4HOzdu5e3336bKVOmYDQaO7t5itImahaGoijKSdarVy9uu+02vv76a95//30sFguTJ09m0qRJnd00RWkzFUAoiqJ0gj59+vDggw92djMU5bipIQxFURRFUdpNBRCKoiiKorSbCiAaqUJSiqIoitJ2Kgei0YFCUoqiKIqiHJvqgVAURVEUpd1UAKEoiqIoSrt1uwBCCKETQlwuhNgshAg/xraDhBDyiIeaN6UoiqIov1N3zIF4FEgBhnHs9scC1wBrDnutqIPapSiKoiinjW4XQEgpnxZCJKMFBscSAWyTUu7t2FYpiqIoyuml2w1hNHK3cbtIoLQjG6IoiqIop6Nu1wPRThHA5UIIf2ACsAP4k5TS07nNUhRFUZTurVMDCCHEJOCxY2y2RUp5vImPJcBSKWW2EOJlIB3YBfzzOI+nKIqiKAogpJSd3YZ2E0L0AnKBGCllcTv2exSYJKWceuR70dHRMjQ09ODzWbNmMWvWrN/fWOWgiooKwsLCOrsZpzR1jTueusYnh7rOHW/YsGGbpJQjj3f/U30I40jlgKWlN0JDQ8nMzDzJzTm9pKenM3To0M5uxilNXeOOp67xyaGuc9fXXZMoxTE30OpFXCKEODxIigZ2d1yzFEVRFOX00F0DCP/GP30Pf1EIMU0I8Xrj02DgE+DqxvcMwKXAmyerkYqiKIpyqup2AYQQYirwfOPTt4UQFx329mDgfCGEUUpZBZwNXCKEeAJ4A3hZSvnzyW2xoiiKopx6ul0OhJRyGbCslfdeBF487PkatF4HRVEURVFOoG7XA6EoiqIoSudTAYSiKIqiKO2mAghFURRFUdpNBRCNrFYrc+bMYfHixZ3dFEVRFEXp8rpdEmVHCQgIYOHChZ3dDEVRFEXpFlQPhKIoiqIo7aYCCEVRFEVR2k0FEIqiKIqitJsKIBRFURRFaTcVQCiKoiiK0m4qgFAURVEUpd1UAKEoiqIoSrupAKKRKiSlKIqiKG2nCkk1UoWkFEVRFKXtVA9Eo+rq6s5uwinviy++6OwmnPLUNe546hqfHOo6nxThv2dnFUA0qqqq6pDjdtSQSEcOtXTUsTvqPwR1jQ/pbte4I4/d3a4xdL9r0ZG/F93td7k7/hsBIn7PziqA6GDql7XjqWvc8brjtehu1xi637VQ17jjj9vRx/49hJSys9vQJQgh6oCdHXDoYKCmGx23I48dDpR3wHHVNT6ku13jjjx2d7vG0P2uRUf+XnS33+Xu+G8kRUoZeLw7qwBCURRFUZR2U0MYiqIoiqK0mwogFEVRFEVpNxVAKIqiKIrSbiqAUBRFURSl3U6rSpRCiCcACYQAP0r5/+3df+xVdR3H8ecLwgwYkhQyJNRcSkmtXK6cjNZWGhjNsvynLYuaWzXU2Zr/ZD8WhbNsZG2WlX+Yy2nZinLN0lqusKxNw4WGJSHlChZ/pENS8dUf53zh9vXL/Z7PN+65O/e+Hht/cO773r323tk57/Pz6zuOULcU+BSwA3gFcJXtva0F7bCCHp8BfBTYBZwG3Gr7p60F7bCmPY6ZK+2xJAEfAN4GrLf95OBTdl/B9mIlsB7YDZwM/ML2D9rK2WWSXgJcBpxk+3196hYAm4C/Ai8HrrX9536/PTYDhKT1wELbV0iaBWyVtM327inKbwE22N4m6SzgW8A72szbRU17LGkRcBdwju1HJS0Gdkg6w/bfhxC9MwrX497vbQJus31/K0E7rLTHko4DPgzcZPvGNrN2WcH24ljgJmCV7f2SZgO/l7Td9o4hRO8MSSuA9wIXAo9NU/5V4Hu2t9QH0VskneU+j2qO0yWMy4HbAWw/R7UDu3hykaQzgaW2t9W1vwNeK+llLWbtqkY9BlYBc4Cdde0e4N/AG9uJ2WlNe3yIpHVURyDHDTzdaGjcY0nzgK8Am20/3lrC0dC0zyuB2bb317UHgUeA17SUs7NsP2z7KuD7/eokvRR4J/CT+nuPAweAc/p9bywGCEkvBl4NPNSz+CFg7RTlb5pUB9ULptYMJt1oKOzxHcDyicm2PsJYyuBewjISCns88Z2FwApgz2DTjYYZ9Phq4BbbBwadbZQU9nkXsELSFZJmSVoCnA38ZvBJR8az03y+Cthp+5meZX23LTAmAwRwCvCc7X09y/5FtdOaqnby28+OVBuHNe6x7WcnjiZqH6I6G/HLwUbsvJL1eMKlwPUDTTVaGve43gm+CzhR0iZJP5d0ZUs5u65ke7EX+CCwkepg7jvAhbb/1kbQMTGj/d643AMxj+dPYE8Di45Q+0zD2jispMeHSDoVuBJYN2n6jecr6rGk1cADtp+s7vGLBkp6fC4wH9hq+5uS5gJ/kXR/bgieVun24m7gHqqzFmcDbwDuG1i68TOj/d64nIE4QHXNvdcc4Kn/szYOK+6bpGOAG4GLbD8wwGyjonGP696eb3tLG8FGSMl6vBx42PZ2gPqs2o+Bdw804WgoWZdPALYCX6Q6Uv4csFlSbmw/ema03xuXAWI31ZNWC3uWHU99E98UtcdPWnak2jispMcTPgtstH3vQJONjpIebwC+3kqq0VLS46eoHkHstZecrWyipM8foRrU7rL9tO2NVE/G9b15OIrMaL83FgOE7X8AjwKn9yw+namvuf96Ul2/2qgV9hhJbwW22/5Zz7LzBxqy4wp7fDJwqaTNkjZTbQwuk/TxgQftsMIebwNO0v9eHzoB6PvsfBT3eT6wb9KyPwD/GUy6kTTdNcytwKn147QTpt3vjcUAUbsOeA8ceunLecD1kuZIukHSxOMqvwL21y8uQdLr6DlNGX016rGk+cDbgVslHStpQf1M+KuGFbxDGvXY9gbbl0/8o3pM9jrbXxha8u5o2uN7qI7czq1r5wJvBr4xlNTd03Sb/F1gtaTePzt9HnBbq2m7bR7wot4Fkq6RdAGA7ceoHqNdW3+2BFgA3NnvR8fmz3nXk9XngYNUzbzb9o/q57h3AJ+xfUNdewrw6Xr5cuCTtv85lOAd0rTH9Z3qV0/xEytt/7G9xN1Tsh7X9XOB91NtrG8GNtn+U+vBO6RwW7GMal1+BDgRuN12341uVAr7vAa4iOrRwmXAg7YzqE2jHsw+RvUemMXA14Av2d4l6UHgh7Y/UdcuAq6hehPlMqo3UfZ9UdfYDBARERFx9IzTJYyIiIg4SjJARERERLEMEBEREVEsA0REREQUywARERERxTJARERERLEMEBEREVEsA0REREQUywARERERxTJARERERLEMEBEREVEsA0REREQUywARERERxTJARERERLEXDDtARIwfSacBq4ElwH7gAPBK4D7b3x5mtohoJgNERLRK0ixgje0vS1oM7ASWA5cA+4YaLiIak+1hZ4iIMSJpNjDX9hOSLgAusb122LkiokzOQEREq2wfBJ6o/7sGuBNA0jHALNsHhpUtIprLTZQR0SpJZ0q6VtILgXXAb+uPLgbmDC9ZRJTIJYyIaJWktwDrqQaHPcDrge3Adtv3DjNbRDSXASIiIiKK5RJGREREFMsAEREREcUyQERERESxDBARERFRLANEREREFMsAEREREcUyQERERESxDBARERFRLANEREREFPsvHoyEjmjKx2oAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2018-08-07T05:59:15.096394Z",
"start_time": "2018-08-07T05:48:50.604638Z"
},
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "%matplotlib inline\nevidence = []\nms = np.arange(1, 32)\nfor m in ms:\n model = BayesLinearPolynomialRegressionWithEvidence(m, 1e-7, 1e-7, 100)\n for i in range(30):\n model.fit_1(X_train, t_train)\n display_predict_with_lines(\n sin,\n X_train,\n t_train,\n model,\n text=r'$N={:d},M={:d},\\alpha={:.3e},\\beta={:.3e},\\log E={:.2e}$'.\n format(X_train.shape[0], model.M, model.alpha, model.beta,\n model.evidence),\n name='./imgs/1-6/{:02d}-{:03d}'.format(m, i + 1))\n print(\"[I] M={}, f={}/30\\t\\t\".format(m, i+1), end='')\n evidence.append(model.evidence)\n print(\"%.2f\" % model.evidence)",
"execution_count": 54,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 576x432 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {}
},
{
"name": "stdout",
"output_type": "stream",
"text": "[I] M=31, f=30/30\t\t-19.94\n"
}
]
},
{
"metadata": {
"ExecuteTime": {
"end_time": "2018-08-07T06:00:01.983344Z",
"start_time": "2018-08-07T06:00:01.720959Z"
},
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "fig = plt.figure(figsize=(8, 6))\nplt.title(\"次数$M$とモデルの対数エビデンスの関係\")\nplt.xlabel(\"$M$\")\nplt.ylabel(r'$\\ln E$')\nplt.plot(ms, evidence)\nplt.xlim((0,32))\n#plt.ylim((evidence[0],evidence[15]+3))\nplt.show()",
"execution_count": 58,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 576x432 with 1 Axes>",
"image/png": 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fcehhM3uNoOHgQwTdAw9U59/2/UuBHxFkmNPdfa/73923mNlZBFVyPyIodYp2uPdJFpDlwUiTk6OOe4zg81lI0Etmc9S2y4h9r+S1Wf468Jnw8z8q6m9aYWZ3Av80s8mHEGxnNu8CXR306rovgn/qWwn6+GdHra8g+PK8ibBvcNS2fIK6zjyCL4sG4I6o7b0IegOcDcwg+NK+JMZ7n82+3ZLeB37dZt3vgGcP8HdcT9DXfSJBCUcOQQOkCcCnCOplO3JdCgie1FcTPFU2hmn73UEcWwwsACo7+J4fIMjwE/E5dyeoy/95+Nl8ibBbYTv3xB0Exdct684hGDSq7b69CKpWihNxjyToWswiaCuymaBefB1BvfSLwA8P8hyH9BlHHT+BoG//1w/x+IvD+/OA4yUQDLK13+66h3iffA24M2q5IPwu+e9weThBIPdLoDBcdxnweIxzXQD8M/z9XPYeo2IisLzN/s8BN3TG/ZJOr6QnQK+u+yKoP7yfYFAYi7F9ePhFuQG4kWDY1+jtIwnqFf8z/IL9UvjlczdB/V/LfhcAEYI66BPC8/6V4CluXfSXMMHTUkX4+5UE1Rt1BE/s9wBHtPO3ZBE8bT0TpreO4Mm+hqAXwV8JnmYSfU2LCZ6iz070e3UwXWMJ2o8caOyDbgQjFY49wH4TCQam+TZBQFDUzn6HdI8k+3p19c8Y6JHM+yTc9xsEvZSKCKoDrqdNgEIQGM4Ot3+EoNTpiRjn+kiYyY8kqP6wqG2TgXfa7D+FoAQh6fdDKr00dLHsw8z6ETzxlRA88bbblzts4PYdgqLdDxB8aU8l6EOeDfzG3d+3oB/8FQSjiz3kbW68sNHfXQStu/8U/7+qa7Bgprfb3f31ZKflUITF0LUeNUfEfvYtJqijfsPdPxm13kjjeyTVP+N4MbMvEbQfuLrtZ9nO/r0IxtX4ibcZEtrMziUoPbjM21R9hF0Tf+fu0eNWyCFQQCD7MLNsP8TWueGXfZG718Y5WZImdI+IdE0KCERERERDF4uIiIgCAhEREUEBgYiIiKCAQERERFBAICIiIiggEBERERQQiIiICAoIREREBAUEIiIiggICERERQQGBiIiIEMwJn7F69uzpw4YNS3Yyupxdu3bRrVu3ZCejS9E1iU3XJTZdl9h0XfbV2dfk1Vdf3eLuFbG2ZXRA0K9fP+bNm5fsZHQ51dXVVFZqJtFouiax6brEpusSm67Lvjr7mpjZ6va2qcpAREREFBCIiIiIAgIRERFBAYGIiIiQ4QFBbW0ts2bNYs6cOclOioiISFJldC+D4uJiZs+enexkiIiIJF1GlxCIiIhIQAGBiIiIKCAQERERBQQiIiKCAgIREREhw3sZyN7cnUVrt7P03XoKN0UoLciltFsO3XKzMbNkJ09ERBIoowOClnEIZs6cycyZM5OdnKRyd256/A1++eyKYMVT/2zdlpNllHbLpaQgpzVIKC3Ibf29pCCXsqI8zhjbhz6lBUn6C0RE5HBkdECgcQgC7s53H13Kr59fySWTBzOy2w4qBgwmUtdIza4GauoaqNnVGP5soKaukXcjta3rdu5uAuCGRxZzxpg+XHrCYE4e1ousLJUqiIikiowOCCQIBm58ZDF3vrCay04awg0zx7Jw4UIqx/c/6HM0NDXzzrad/HneGv4yby2PL97IEeWFfGzyYC48ZiDlxfkJ/AtERCQe1KgwgzU3O9c99Dp3vrCay6ccyQ0zxx5SW4Hc7CyGVRTz9bPH8MLXT+OnH62kT2kBP/jbG5z4g6f54r0LeHnlNtw9AX+FiIjEg0oIMlRTs/P1Bxbx53lr+ez0YVxz5qi4NBzMz8nmvMoBnFc5gGWbItz90jvcP38tD1evZ0TvYi49fjAfnjSQ7t1y4/BXiIhIvKiEIAM1NTvX/GUhf563li+cPiJuwUBbI/qUcOO543j5Gx/g5qrxFOZlc+OcJRz//X9w7X0LWbjm/bi/p4iIHBqVEGSYxqZmvvTnhcxZuJ6rzxjJf50+IuHv2S0vm4uPG8TFxw3itbXb+ePLq3lowXr+PG8tRw/ozhXThnL2Uf3IViNEEZGkUQlBBmloauYL9y5gzsL1fPWs0Z0SDLR19MDu/OCC8bx03el857xx7NjdyOf/uIAzb/0nDy1YR2NTc6enSUREFBBkjN2NzXzu7vk89tpGrj9nDJ+ZPiyp6SktyOU/ThzCk1+axs8umUi2GVf9qZoP/ORZ/jJvDQ0KDEREOlVGBwQtAxPNmTMn2UlJqLqGJq78w6v8fckmvn3uOD49ZWiyk9QqO8uYOaE/f/viFO74+CQK83K45r5FnHrLXP740jvsblRgICLSGTK6DUEmDExU19DErN+/yj/fepfvffgoLj3+iGQnKaasLOOso/px5ri+PP3GZm57ahnfePA1fvb0Mj4zfRgXHzuIgtzsZCdTRCRtZXQJQbrbtbuJ/3fnKzy37F1urhrfZYOBaGbG6WP68NDnTubO/5zMgB7d+NbDi5l68zP86rkV7ApHRRQRkfhSQJCmdtQ3ctlvX+aF5Vu55cIJXHzcoGQnqUPMjGkjK/jLlSfyx8uPZ2hFEd99dCmn/PBp7nh2ObX1jclOoohIWsnoKoN01dTsfOq3r/DqO+/xPx+p5LzKAclO0iEzM04a1ouThvXilVXbuO2pZdz0tze449nlfGbaMD550hBVJYiIxIFKCNLQqq07eHnVNq49c1RKBwNtHTekjN//v+N58LMnMX5gD37wtzeY9qNnuPul1eqVICJymBQQpKFIXVCcPrx3cZJTkhgTB/fkrv+czL2zTmBgz0Kue/B1PvCTZ3m4eh3NzZovQUTkUCggSEO1YUBQUpDe8wWcMLSc+648kV9/8li65WbzxXur+eBtz/HU0k2aSElEpIMyOiBI13EIInUNAJQUpH8TkZZeCY99YQo//Wgluxqa+H93zuPCO17gxRVbk508EZGUkf45xn6k6zgELVUGxfmZ8/FmZRnnVQ7gg0f34y/z1vLTp97io7NfZOrICq6ZMYqjB3ZPdhJFRLq0jC4hSFeRsEteaZpXGcSSm53Fx44fzLPXnMp1HxzDa2vfZ+bPn+ezd7/K25trk508EZEuKyUfIc0sC6gCvg7McPctbbZfDgwAtgOjge+6+5pOT2iStFQZFGdAlUF7CnKzuXzqUD46eRD/99xKfv3cCh5/fSNVkwby5Rkj6de9W7KTKCLSpaRqjnEdMAqYSJu/wczOBY529y+Ey8cDfwCmdXYik6W2rpHCvGxNJ0zQsPLLZ4zkkycewe1zl/P7F1YzZ9F6/t8pR3LltGFp3/BSRORgpWSVgbt/B7ixnc0zgJVRy68BxyQ6TV1JpK4xIxoUdkR5cT7f/NBYnrp6GmeO68svnlnOtB/N5c5/r9IYBiIipGhAEGpv7Nq3gC+Z2cRw+VLg6c5JUtcQqW/Qk287BpUV8tOPTuSRz5/MyD7F3PDIYmb8zz95/PUN6qooIhktlQOC9twBvAy8amYvAscTBAUZI1LXmFE9DA7F+IE9uOfyE/jNZceSk2Vc+Yf5XHTHC7y6+r1kJ01EJCks2U9FZjYduP4Auy1096vbHDeEoGqgn7tvbLNtBvBTYCiwArjI3V9ve9K+fft6WVlZ63JVVRVVVVUd/yO6mGuf3ExhbhY3Tu91SMdv3bqV8vLyOKeq62pqdp5auZN7XqvhvbpmThxYwCcmdKdfyZ6gKtOuycHSdYlN1yU2XZd9dfY1mThx4qvufmysbUkPCA5VewGBmV0KfAWYDvQEfgcMA0a5+87oc4wdO9aXLFnSOQnuRKf/eC6j+5byi0snHdLx1dXVVFZWxjlVXd+O+kb+77kVzP7nCnY3NvPxE47gC6ePoKwoL2OvyYHousSm6xKbrsu+OvuamFm7AUE6Vhl8H7jJ3be7+ypgJlAInJ7UVHWi2npVGRyKovwcrvrASOZ+ZToXHTuIu15YxbSbn+H2uW9T35iagbOIyMFK5YCgvT51xcC2lgV3jxBUG9R3RqK6AvUyODy9Swv4wQVH88RVU5l8ZBk3P/4mn3tsE/e/ulaTJ4lI2krlgKAo/Nl2hJl7gXNbFsxsIFAKvNBJ6UqqxqZmdu5uyuhBieJlRJ8Sfn3Zcdxz+Qn0KMji6r8s5JyfPc9zy95NdtJEROIuJQMCMzsDuClc/KWZnRe1+WogYmY/MLOvAt8GqsKSgrS3o74JSP+ZDjvTicPKufmMCn760UoidQ38x69f5hO/eZmlG2qSnTQRkbhJycdId38SeLKdbXXANzo3RV1HTQbNdNiZsiyYPOmso/py179X87Onl/HB257jQg2FLCJpIiVLCKR9teHERiVqVJgQ+TnBHAn/vPZUPn3KkTxcvZ5Tb5nLj554o3UOCRGRVJTRAUFtbS2zZs1izpw5yU5K3LRMfawqg8TqUZjHdecEQyHPGKuhkEUk9WV0QFBcXMzs2bOZOXNmspMSNxFVGXSqQWWF3HaJhkIWkdSX0QFBOmqpMlAvg87VMhTyrz95LNnhUMgX3vECr67eduCDRUS6AAUEaaamtcpAAUFnMzNOH9OHx784hR9ccDTvbNtJ1f++wKfvfEU9EkSky1NAkGZaqgxK1YYgaXKys7hk8mDmfmU615w5ipdWbuODtz3HF+5ZwMotO5KdPBGRmBQQpJnaukZysoz8HH20yVaUn8PnTh3O89eexmemDePJJZv4wE+e5esPLGL9+7uSnTwRkb0o10gzLcMWm7U3srN0tu6FuVx71mievXY6/3HCEdz/6jqm3zKX7/x1CVtrM2ZEbRHp4hQQpJlIXYO6HHZRvUsKuPHccTz9lWmcX9mf3/5rJVNvfoYf//1Ntu/SGAYiklwZHRCk4zgEmumw6xvYs5CbL5zAk1+exvTRvfnZ028z9eZn+N+5y9m1uynZyRORDJXROUfLOATppEYzHaaMYRXF/OJjk/jMtO385Mm3+OHjb/Cbf63kv04bzkePG0ye2oGISCfSN06a0dTHqeeoAd35zWXHcd+VJ3JkryK+9fBiTr1lLne9sIq6BpUYiEjnUECQZmrr1YYgVR07pIw/zTqBu/5zMn27F/Cthxdzyg+f4Y5nl2ueBBFJOD1KphmVEKQ2M2PqyAqmjOjFSyu38Ytn3uamv73B7c+8zWUnDeFTJx9Jz6K8ZCdTRNKQco404u7U1qlRYTowM04YWs4JQ8tZtPZ9bn9mObc9/Ta/en4lH5s8mE9PGUrf7gXJTqaIpBHlHGmkrqGZxmZXlUGaGT+wB3f8xzEs2xThf+cu57f/XsVdL6ym6piBXDltKEeUFyU7iSKSBtSGII1opsP0NqJPCT/5SCVzvzKdi48byP3z13LqLXO56t4FvLkxkuzkiUiKU0CQRiL1mtgoEwwqK+S75x/N89eeyuVThvLkkk2cees/ufyuecx/571kJ09EUlRGBwTpNjBRRDMdZpTepQV8/YNj+NfXTuOqD4zg5ZXbuOD2f3Pez5/n/lfXqsuiiHRIRucc6TYw0Z4qA7UhyCQ9CvO46gMjuXzKUB6Yv5Y7X1jN1X9ZyPceW8pHjhvEpccPZmDPwmQnU0S6uIwOCNJNbVhCoF4GmakoP4f/OHEIHz/hCF5YvpU7X1jFL59dzi+fXc4HxvThkycN4aRh5Zr4SkRiUs6RRlRlIBB0WTxpeC9OGt6Lde/v4u4XV3PvK2v4+5JNDKso4hMnDuGCSQNUkiQie8noNgTppkZVBtLGgB7duPas0fz7a6fx44smUFyQyw2PLOaE7z/Ftx5+nbc3q3eCiAT0KJlGautVZSCxFeRmU3XMQKqOGUj1mve564VV3PvyGu56YTUnDy/n48cfwWljepOfk53spIpIkijnSCORukaK8rLJzlIdsbSvclAPKgdVct0Hx3DvK2u4+8XVfObu+XTvlss54/txwcQBHHNET7U1EMkwCgjSSKSugWK1H5CDVF6cz+dOHc4VU4fyr+VbeWD+Wh6Yv5Y/vvQOg8sKOX/iAC6YOIAhvTQSokgmyOjco2UcgpkzZzJz5sxkJ+ew1dY3qv2AdFhOdhbTRlYwbWQFtfWNPP76Rh5csJafPb2M255axqTBPfjwpIF86Oh+mlhJJI1ldECQfuNCorb0AAAgAElEQVQQaKZDOTzF+TlceMxALjxmIBu27+Lh6vU8OH8d33zodf57zmJOHdWbCyYN4NTRam8gkm6Ue6QRBQQST/26d+PKacO4YupQlmyo4cH563ioej1/X7Kptb3BuKJ6jm52tVsRSQMpmXuYWRZQBXwdmOHuW6K2GfA1oARoBLoDX3H3hmSktTNF6hoY0KNbspMhacbMGNe/O+P6d+drZ4/m+be38OCCdUF7g4ZmfvzSPzh9dG/OGNuHKSMq6JankgORVJSSAQFwHTAKmMi+f8OXgaPd/WMAZvZd4MbwmLSmEgJJtJzsLKaP6s30Ub2prW/kd0+8zLKd3Xh88Ub+8upaCnKzmDKighlj+3D6mD6Uqc2BSMpIydzD3b9jZsOBS2Ns/ixwTdTyH4CXzOzGdC8lqK1v1BgE0mmK83M4ZXAhn6+sZHdjMy+v3MaTSzby9yWbeHLJJrIMjh1SxoyxfThjbB+OKFdvBZGuLJVzj8Z21g8EtkYtrwFKgcHA8kQnKlkam5rZubtJvQwkKfJysjhlRC9OGdGLG88dx+L1Nfx9cRAcfPfRpXz30aWM6lPCjHFBcHD0gO4a50Cki0nlgKA9qwky/xYF4c+0fjxpGaVQVQaSbGbGUQO6c9SA7nx5xije2bqTJ5du4u+LN/KLZ97mZ0+/TUVJPqcM78XJw3tx8vBy+nVX2xeRZDN3T24CzKYD1x9gt4XufnWb44YAK4F+7r4xav1VwCXAdKAO+CFBFUIfd98cfY6+fft6WVlZ63JVVRVVVVWH+Jck16baRq746yb+a3IPTh96eLHP1q1bKS8vj1PK0oOuSWwdvS419U3MW1/Hgg31LNpUz/b6ZgAGluYwvk8+lX3zGVeRT1Feak+zovslNl2XfXX2NZk4ceKr7n5srG1Jf5x097nA3Die8qdAM/BbgtKCRcDKtsEAQFlZGUuWLInjWyfPkvU1wCbGjRxK5VH9Dutc1dXVVFZWxidhaULXJLZDuS5Tw5/Nzc6bmyI8v2wLz7+9hWdWbuOxZTvIzjImDOzeWoIwcXBP8nJSK0DQ/RKbrsu+utI1SXpAEG8eFHncFr4ws68Cdyc1UZ0gopkOJcVkZRlj+pUypl8pl08dSn1jEwveeZ9/vR0ECD9/5m1ue/ptCvOyOf7IMk4e3osTh5Uzum+pxj0QSYBUDggO+I1gZiXAmcCHEp+c5NJMh5Lq8nOyOWFoOScMLefqGaPYvquBl1Zs5fkwQHjm0aVAcI9PHNyD44aUceyQnlQO6kFhnu57kcOVyv9FLRXlMVsjmVkv4AbgP919Z6elKkkidWpUKOmle7dcZozry4xxfQFY//4uXlm1jVdWbWPeqvf4n3+8hTvkZBnj+pdy7JAyjhvSk2OOKKOiJD/JqRdJPSmZe5jZGcAXw8Vfmtkv3P3hcFtf4CagGvhqJgQDAJHWXgaqMpD01L9HN86rHMB5lQMA2L6rgfnvvMe8Vdt4ZdV7/OHF1fz6+ZUADCkv5NghZRx7RE+OHVLGsIoidXMUOYCUDAjc/UngyXa2bQQu69QEdQF72hCk5Ecq0mHdu+Vy6qjenDqqNwC7G5t5ff321gDhqaWbuO/Vta37ThjUg8qB3ZkwqAcTBvWgV7FKEUSiKfdIE5G6RnKzjfwUa40tEi95OVlMGtyTSYN7MmsquDsrtuxg3qptLHjnfarXvM/Pn3mX5rCn9cCe3cIgoQeVg3twVP/umodBMlpGBwS1tbXMmjWLmTNnMnPmzGQn57DU1gXDFqtYVCRgZgyrKGZYRTEfOS4Yq2zn7kZeX1dD9Zr3WLhmO9XvvM+jizYAkJ1ljOxTQuWg7lSGpQgjepeoR4NkjIwOCIqLi5k9e3aykxEXkboGtR8QOYDCvBwmH1nG5CP3DEj2bqSehWveZ+HaoBTh0UUbuOflNQAU5GYxtl8pR4cjLx49sDvDK4rJyVZJnKSfjA4I0olmOhQ5NBUl+XxgbB8+MLYPEFQ1rNq6k+o17/Ha2hpeX7ed+15dy50vrAYgPyeLMWGQ0BIojOhTTK6CBElxykHSREQzHYrEhZlxZK8ijuxVxIcnBuuamp2VW3bw+rrtvBa+Hlywjt+/GAQJeWGQcFT/IFDIrd3NmMYm8nPUJkFSh3KQNBGpa2RAD00QI5II2VnG8N7FDO9dzPkTg26Pzc3Oqq07eG3d9tZA4ZHq9dz90jsAfPUfTzCiTwlj+5Uyrn/wGtu/VFV70mUpIEgTkboGSgtKkp0MkYyRlWUMrShmaEVx69gIzc3O6m07efTfC9mZV8bi9TU8+9a73D9/betxR5QXRgUJ3RnXv5SKknw1CJakU0CQJmrrGylWGwKRpMrKCqobThlcSGXl6Nb1m2vqWLyhhiXra1i8fjuL19fwt9dbJ2mlV3EeY/t3Z2y/oBRhbL8SjuxVrB4O0qmUg6QBd1ejQpEurHdpAb1LC1oHUYKgVG/phgiL128PA4Uafr18BQ1NwUAJ+TlZjO5bwpgwSBjTr5TRfUtU5SAJk9E5SLqMQ7CroYmmZtcXhUgKKSnI3acL5O7GZpa/W8uS9TUs3VDDkg01PL54I/e+sqZ1n8FlQZXDnkChhAE9uqnKQQ5bRgcE6TIOQW2dZjoUSQctvRXG9CttXefubKypCwKE9UGQsHRDhCeWbMTDURdLC3IY3a+UMX1Lgp/9ShnZp1izQEqH6G5JAzWa6VAkbZkZ/bp3o1/3bpw2uk/r+h31jbyxMcKSDTW8saGGNzZGuO/VtezY3RQeB0eWFzG6Xwlj+paGgYJKE6R9ykHSQG0402GpqgxEMkZRfg7HHNGTY47o2bquudlZ+96uIEjYGFQ7LF5fw2Ov7WnAWFKQEwYIJYwOf47qU0KRShgznu6ANNAy06F6GYhktqwsY3B5IYPLCznrqL6t62vrG3lzY6Q1SHhjQ4QH5q+jtn516z6DywoZ3bckeIUNGI8oL1JPhwyiHCQNRFRlICL7URyjNME9KE14Y2MkqHLYFPz8x9JNrTNCFuRmMbJPECSM6runjUJZUV6S/hJJJOUgaUCNCkWko8yMQWWFDCor5Iyxe9om1DU08fbm2qAkYWOENzdGeGrpZv48b8/gShUl+YzqU8KovsFrdN8SRvQu0fTRKU45SBqoCasM1O1QRA5XQW42R4WTNkV7N1LfWu3QEijc/dJq6hqagaAR4xFlhWGQUNoaMAwpL9TskClCAUEaiKiEQEQSrKIkn4qSfE4Z0at1XVOz8862nbwZBglvbYrwxsYITy7ZU+2Ql5PF8IpiRvctobg5wnsFmxnZt4T+3QvU26GLyegcJF0GJqqtb6QoL1uNf0SkU2Vn7ZkZ8qyj+rWub6l2eHNjhDfDIOFfy7ewqaaeuxa+AgQPMCP7FDOyTwkjw9KEkX1K6FWcp0AhSTI6IEiXgYkidQ2qLhCRLqO9aofnX55Pfu8hvLUpwlthsPBEm5EYy4ry9g0UepfQvVDfcYmW0QFButA8BiKSCorzsqgcUsZxQ/YM1+zubKndzbJNQYDw1qagfULQLbKxdb+KknxG9ilmRO+SMFgIflegED/KRdKAZjoUkVRlZq3tE04avqd9gruzYXsdb26KsGxThLc21bJsU4Q/z1vDznA0RoDeJfmM7FPCiLBUYUTvYkb0KaF7NwUKHaVcJA3U1DXq5heRtGJm9O/Rjf49uu01S2Rzs7Pu/V0s2xxh2abaIFDYHOHel9ewq2FPoNCnNJ8RvUsY3ruYEWFpwvDexRpDYT8UEKSBSF0DA3t2S3YyREQSLitrz/gJ0XM7tAQKb22KsGxzLW9tivD25tp9ShTKi/L2CRJG9C6moiQ/4xszKiBIA7V1jZSoy6GIZLDoQOH0MXsHChtq6lgWBgjLNtXy9ru1PFy9vrXLNgQzRo7oU8LwimKG997zGtCjG1kZ0oNLuUgaUKNCEZHYsrKMAT26MaBHN6ZHVT24O+9G6lm2uTYIFMIqiH8s3cSf5u3p9ZCfk8XQliChophhvYsY3ruYIeVFFOSm18iMGZ2LpMM4BI1NzexqaFK3QxGRDjAzepcW0Lu0gJOjGjMCvLdjN8vfDQKFtzfXsvzdWqrXvMdfF63HwwGXsgwGlRW2ligMC4OFYRXF9ChMzXYKGR0QpMM4BC3dcjRKoYhIfPQsyuPYojKOjeoeCbBrdxMrttSy/N0dQaAQBgvPvb2F3Y3NrfuVFeUxrCIIDoa2/ixmUM9uXXoYZ+UiKU4zHYqIdI5uedmM69+dcf33HnCpqdlZs20nK7bUsuLdHSx/t5blm3fwj6Wb2PLK7tb9crONIeVFewUJTe/t5sidDV1iPIWUzEXM7DzgNGAdcBTw3+7+dtT2C4CTgfeBBne/KSkJ7QQKCEREkis7yxjSq4ghvYo4bfTe27bvbGD5lqA0YcWWHSwPqyGeWrqZxnDCh6/+4++UF+VxZK8gWDiyVzFH9ipiWEURg8sLyc/pnLYKKZeLmNkU4BZgjLs3mtn5wP3AhHD7KOBa4ER3dzP7hZld4O4PJC/ViRPRTIciIl1W98JcJg3uyaTBPfda39DUzJptO/nHy69hJX1aSxeeefPdvaaazjIY2LOwNVgY2quIoRVBwNAvzhNEpVxAAFwALHL3lv4ii4DxZlbu7luBzwFz3FuafvAg8DUgTQMClRCIiKSa3Oyg98LkAd2orBy617ZIXQMrt+xg5ZYdrHh3Byu27GDlllpeWbVtrzEVXrtxRlwfBlMxF7ke2BW1PAxoBHaGy9OAb0dtXwqcamYF7l7XOUnsPGpUKCKSXkoKchk/sAfjB/bYa727szlSz/J3a1n33q64lwynXC7i7jvarLoCuNvdW4KEI4EtUdu3AllAX2BVwhPYyVRlICKSGcyMPqUF9CktSMj5kx4QmNl0gqf+/Vno7lfHOPZiYAQwNWp1EdAQtdzSxLOcNgHBtm3bGDt2bOtyVVUVVVVVB5v0LuHNlREAVr61hHXZ8alL2rp1K9XV1XE5V7rQNYlN1yU2XZfYdF321ZWuSdIDAnefC8zt6HFmNhT4MnCGu2+P2lQHRD8ut/weXc0AQFlZGUuWLOnoW3cpT2x8g9zsCMdNqoxb45Lq6moqKyvjcq50oWsSm65LbLousem67KsrXZOuO0LCfphZLvBD4CJ339xm8xogejSJMsCB1Z2UvE4VqWugpCA34yflEBGRw5OSAQFwDXCDu68BMLMCMzst3PYvYFTUvqOAeTHaHqSFWs1jICIicZByAYGZTQQiwIowEKgAbgVqw11+AZxnZi1/24eBn3R+SjtHpK5RPQxEROSwpWJO8n3gLOC2qHWbgc8CuPt8M7sd+LmZbQY2ufu9nZ/MzqGZDkVEJB5SLidx97MPYp8/AH/ohOQkXaS+kYE9uyU7GSIikuJSrspA9hapa6BEVQYiInKYMjogqK2tZdasWcyZMyfZSTlkqjIQEZF4yOicpLi4mNmzZyc7GYfM3amtb6RYAYGIiBymjC4hSHW7GppoanYNWywiIodNAUEK00yHIiISLwoIUlhLQKBxCERE5HApIEhhLTMdlqrKQEREDpMCghSmKgMREYkXBQQprLY+rDJQQCAiIocpowOCVB+HoKXKQL0MRETkcGX0o2Wqj0OgKgMREYmXjC4hSHUtAUFRngICERE5PAoIUljL1MfZWZbspIiISIpTQJDCausbVF0gIiJxoYAghbWUEIiIiBwuBQQpTDMdiohIvCggSGGR+kZ1ORQRkbhQQJDCInUNGpRIRETiIqMDgtQfmKiRUgUEIiISBxmdm6T6wES1alQoIiJxktElBKmsoamZXQ1NakMgIiJxoYAgRdVq2GIREYkjBQQpqnWmQ1UZiIhIHCggSFE1mulQRETiSAFBimqpMlAvAxERiQcFBCmqZaZDjUMgIiLxcFABgZmtNrNbzexyM8sL1/U0s4LEJi+xUnkcgki9qgxERCR+DvbxcrG7X9VmXT3wKTPLAX7j7jvim7TES+VxCNTLQERE4ulgqwxeAjCzwpYSAnff6e7/C1QDKxKUPmlHTZ16GYiISPwcbEDQEP4sBL5uZo+a2RfMrNDdnwPmJSZ5sZnZeWb2UzO71szuMrPhbbbnhdUb8zszXZ0pUtdIXnYWBbnZyU6KiIikgQ49Xrr7FuDbZnY38FugLtxUHe+EtcfMpgC3AGPcvdHMzgfuByaE27sB1wGVwNjOSldnq61vUHWBiIjEzcGWEJxhZtNbqguARe4ecffmcHlnAtLWngvC929sSQsw3szKAdx9l7tfD9zaiWnqdJG6RvUwEBGRuDnYHGUC8DjQbGb/BhrM7Al3bykZ8ISkLrbrgV1Ry8OARvYNShpJY5G6RpUQiIhI3BxsCcFPgZ7AhcBrwGBgvpmtM7NfAycmKH37cPcdUSUTAFcAd7v7rvaOSUea6VBEROLJ3A/8cG9mxe5e22bdAGBG+Jrp7sWHlACz6QRP/fuz0N2vjnHsxQTtBaa6+/YY533c3dsdK6Fv375eVlbWulxVVUVVVdXBJz6Jrnp8E72LcvjGlPK4n3vr1q2Ul8f/vKlM1yQ2XZfYdF1i03XZV2dfk4kTJ77q7sfG2nZQj5htg4Fw3TqChoW/NbPvHWri3H0uMLejx5nZUODLwBltg4GDVVZWxpIlSw7l0KRrfOJpBvYpo7KyMu7nrq6uTsh5U5muSWy6LrHpusSm67KvrnRN4jV08UNxOs9BMbNc4IfARe6+uTPfu6uI1DVSoioDERGJk3gFBCPidJ6DdQ1wg7uvATCzAjM7rc0+1slp6jTuTm19o4YtFhGRuOnQI6aZlQCXAH3YO8O9BPhjHNO1vzRMBCLAinAuhRLgO8Bv2uxaBOSaWba7N3VG2jrLroYmmppdvQxERCRuOlpC8CuCwX6yCAKClldnzpr4feA2gq6Hu4DNwIeJGi3RzC4Evham614zm9qJ6Us4zXQoIiLx1tEc5Wl3/2XblWbWaXMZuPvZB7HPfcB9nZCcpIjUaaZDERGJr44+2WeZWazB8ztzYKKMF9FMhyIiEmcdzVEKgWfN7BWCevwWHwH+ELdUdZLa2lpmzZrFzJkzmTlzZrKTc9BaAwL1MhARkTjpaI7yeeBP7D10cMoqLi5m9uzZyU5Gh+0pIVCVgYiIxEdHA4Ib3P2utivNrDnWzpIYtfUtbQhUQiAiIvGx3xzFzD4PTGqzbnqMXWcQdP2TTqBeBiIiEm8HylGOAVaFr/0ZH4/EyMGpaQkI8hQQiIhIfBwoR7kX+LsfYAYkM9sUvyTJgbTMdJiVlbaDMYqISCfbb0Dg7k8czEnc/fH4JEcORqSuQe0HREQkrjpzhEGJk2AeAwUEIiISPxkdELSMQzBnzpxkJ6VDImGVgYiISLxkdK6SuuMQNNCjMC/ZyRARkTSS0SUEqSqiKgMREYkzBQQpKFKngEBEROJLAUEKCnoZaNhiERGJHwUEKaahqZm6hmZNbCQiInGlgCDF1GrYYhERSQAFBClGMx2KiEgiKCBIMRHNdCgiIgmQ0QFBKg5M1FpCoDYEIiISRxmdq6TiwESqMhARkUTI6BKCVFQbVhmoUaGIiMSTAoIUs6eEQAGBiIjEjwKCFKOAQEREEkEBQYqJ1DWSl51Ffk52spMiIiJpRAFBigmGLVbpgIiIxJcCghRTq5kORUQkATI6IEjVcQjUw0BEROIto3OW1ByHoIGSfI1BICIi8ZXRJQSpKFKnKgMREYm/lMxZzOw84DRgHXAU8N/u/nbU9k8Do4CtwEjga+6+ORlpjTdVGYiISCKkXM5iZlOAW4Ax7t5oZucD9wMTwu0fAz7h7lPD5auA/wPOS1KS4ypS10Cphi0WEZE4S8UqgwuARe7eGC4vAsabWXm4fBHwStT+iwhKE1Keu6uXgYiIJEQq5izXA7uilocBjcDOcPkT7h5ps317J6UtoXbubqLZoVgzHYqISJylXM7i7jvarLoCuNvdd4XbW4MBMzPgcuBXnZfCxKmt10yHIiKSGEkPCMxsOsFT//4sdPerYxx7MTACmNrOcdcSlA58L9bGbdu2MXbs2NblqqoqqqqqDiLVybFmezDT4daNa6mu3paw99m6dSvV1dUJO38q0jWJTdclNl2X2HRd9tWVrknSAwJ3nwvM7ehxZjYU+DJwhrvvUyVgZicAM4Bz3b0h1jnKyspYsmRJR986aZrfeQ/YzFGjh1M5qnfC3qe6uprKysqEnT8V6ZrEpusSm65LbLou++pK1yQVGxViZrnAD4GLYnUnNLPuwFeBC2JUMaSs2nCmw1I1KhQRkThLyYAAuAa4wd3XAJhZgZlF9yT4JnBlS8mBmfU1s0lJSGdctUx9XKyRCkVEJM5SLiAws4lABFgRBgIVwK1Abbj9Q8ALwPZw+wDgDoJBjFJapC6o+VC3QxERibdUzFm+D5wF3Ba1bjPw2fD3HwGj2xwzz903dULaEmpPL4NU/NhERKQrS7mcxd3PPsD2MZ2Vls5WU9eIGRTlpdzHJiIiXVzKVRlkskhdA8V5OWRlWbKTIiIiaSajA4La2lpmzZrFnDlzkp2Ug1KrmQ5FRCRBMjp3KS4uZvbs2clOxkHTTIciIpIoGV1CkGoi9Q0atlhERBJCAUEKUZWBiIgkigKCFBKpa9RMhyIikhAKCFJIpL5RVQYiIpIQCghSSKSuQfMYiIhIQiggSBENTc3UNTSrykBERBIiowOCVBqHoGWmQzUqFBGRRMjo3CWVxiFonelQbQhERCQBMrqEIJXUaKZDERFJIAUEKUIzHYqISCIpIEgRLVUGJfmqMhARkfhTQJAiIqoyEBGRBFJAkCJUZSAiIomkgCBF7OlloIBARETiTwFBiqipayAvJ4v8nOxkJ0VERNJQRgcEqTYwkYYtFhGRRMnoHCbVBibSsMUiIpIoGV1CkEpqNdOhiIgkkAKCFBGpa1APAxERSRgFBClCVQYiIpJICghSRKROVQYiIpI4CghShKoMREQkkRQQpAB3DxsVKiAQEZHEyOiAIFXGIdi5u4lm17DFIiKSOBmdw6TKOAStwxZrpkMREUmQjC4hSBWa6VBERBItJXMYMzsPOA1YBxwF/Le7vx21/WqgDNgJjAS+5O7bkpHWeIhopkMREUmwlMthzGwKcAswxt0bzex84H5gQrh9FvAxdz8mXL4duAmYlaQkH7aWKgMFBCIikiipWGVwAbDI3RvD5UXAeDMrD5crgNuj9l8EHNOJ6Yu72taAQG0IREQkMVLxkfN6YFfU8jCgkaB6AHf/Xpv9K4DqzklaYqgNgYiIJFrK5TDuvqPNqiuAu919V9t9zaw7UAhc0xlpS5Q9vQxS7uMSEZEUkfQcxsymEzz1789Cd786xrEXAyOAqTG23QTMAN4C8mOddNu2bYwdO7Z1uaqqiqqqqoNOe2d5e3UNBixb+jpZZgl/v61bt1JdndKFKnGnaxKbrktsui6x6brsqytdk6QHBO4+F5jb0ePMbCjwZeAMd98e47xfM7NvAL8C/kqMdgRlZWUsWbKko2/d6R5es5jigl1MmjixU96vurqaysrKTnmvVKFrEpuuS2y6LrHpuuyrK12TVGxUiJnlAj8ELnL3ze3t5+7NwI+BSVGNDlNOpK6RElUXiIhIAqVkQEDQJuAGd18DYGYFZnZa+PtIM+sWtW9j+Ip0fjLjo1YzHYqISIKlXEBgZhMJMvcVYSBQAdwK1Ia7PAT8IOqQGcBD7r67c1MaP5H6BorVw0BERBIoFXOZ7wNnAbdFrdsMfDb8/Tzgh2b2I4Luif0IeiKkrEhdI2VFeclOhoiIpLGUCwjc/ewDbF9GMHhR2qita+SI8qJkJ0NERNJYylUZZKKaukaNQSAiIgmV0QFBbW0ts2bNYs6cOclOyn5F6hooVRsCERFJoIzOZYqLi5k9e3ayk7FfuxubqW9s1rDFIiKSUBldQpAKaus1bLGIiCSeAoIuTjMdiohIZ1BA0MXVaKZDERHpBAoIurjWmQ4VEIiISAIpIOjiWtoQlKrKQEREEkgBQRcXUZWBiIh0gowOCFJhHILWKgP1MhARkQTK6FwmFcYhaO12qBICERFJoIwuIUgFNXUN5OVkkZ+TneykiIhIGlNA0MVF6ho1bLGIiCScAoIurrauUYMSiYhIwikg6OIidQ1qUCgiIgmngKCLi9Q1qsuhiIgknAKCLq62XgGBiIgkngKCLi5S10hxvtoQiIhIYmV0QJAaAxM1qIRAREQSLqNzmq4+MJG7U1uvbociIpJ4GV1C0NXt2N1Es2uUQhERSTwFBF3Yi8u3AjCid0mSUyIiIulOAUEX9mD1OsqK8jhlRK9kJ0VERNKcAoIOcneamj3h7xOpa+AfSzYxc3w/crP1MYmISGIpp+mAmroGPnjb8/z+hVUJf6/HX99IfWMz500ckPD3EhERUUDQAaUFueRmG/e8vAb3xJYSPFS9jiPKC5k4qEdC30dERAQyPCA4lHEILpk8mDc3RZj/zvsJS9fG7XX8e/lWzqscgJkl7H1ERERaZHRA0DIOwcyZMw/6mJkT+lOUl809L7+TsHTNWbgedzi/sn/C3kNERCRaRgcEh6I4P4dzKwfw10XrqalrSMh7PLhgHRMG9WBoRXFCzi8iItJWSgYEZnaemf3UzK41s7vMbHhnvv8lkwdR19DMwwvWxf3cb22KsGRDjUoHRESkU6VcQGBmU4BbgKvd/WbgAeD+dvbtb2a/jncajh7QnXH9S7n7pXfi3rjwoQXryM4yPjReAYGIiHSelAsIgAuARe7eGC4vAsabWXmMfW8GTo93AsyMSyYP5o2NERau3R638zY3Ow9Xr2fKiF5UlOTH7bwiIiIHkooBwfXARVHLw4BGYGf0TmZWBSxIVCLOq+xPt9xs7o1j48J5q99j3fu7OL9SYw+IiEjnSrmAwN13uHtz1KorgLvdfVfLCjMrA4YDryYqHSUFuZw7oT+PLBxgpE4AAA2gSURBVFxPJE6NCx9csI7CvGxmjOsTl/OJiIgcrKRPo2dm0wme+vdnobtfHePYi4ERwNQ2m75A0M7g2P2ddNu2bYwdO7Z1uaqqiqqqqoNIdeCYnrv50+4mbv/ry5w5vOigj4ulocl5ZMEGjutfwFtLXj+scx2urVu3Ul1dndQ0dDW6JrHpusSm6xKbrsu+utI1SXpA4O5zgbkdPc7MhgJfBs5w9+1R66cQtDGoPdCgPmVlZSxZsqSjb91qgju/ee05ntvQzFcvrDzk8wA8sXgjOxrW86nTjqJyVO/DOtfhqq6uprLy8P6edKNrEpuuS2y6LrHpuuyrK12TlKsyADCzXOCHwEXuvjlqfQ5wobs/0Enp4GPHD+b1dTW8dpiNCx9asI5exXmcMlwzG4qISOdLyYAAuAa4wd3XAJhZgZmdBgwC+pjZrWZ2K/B5oMzMbjezkxORkPMqB1CQm8U9rxx648Ltuxp4aulmZk7oT45mNhQRkSRIudzHzCYCEWBFGAhUALcCte6+0t0/6u5XuftVwB3Ae+7+WXf/VyLS071bLh8a35+HF6xjR33jgQ+I4fHXN7C7qVm9C0REJGlSLiAAvg/cBuwKX5uBDwPzoncys3HAp4C+ZjbLzPISlaBLJg9ix+4m5ixcf0jHP7hgHUN7FTF+YPc4p0xEROTgpFxA4O5nu7u1efVp0xURd1/s7pe6e767z3b33YlK06TBPRnZp/iQJjxa//4uXlyxTTMbiohIUqVcQNAVtYxcuHDtdhav71jjwkfCUoXzJ2qoYhERSZ6MDghqa2uZNWsWc+bMOexzfXjiAPJzsrj35TUdOu6hBeuYNLgHR5Qf3jgGIiIihyOjA4Li4mJmz57NzJkzD/tcPQrz+ODR/XhowTp27j64xoVLN9TwxsYI509UY0IREUmujA4I4u2SyYOJ1Dfy10UbDmr/h6rXkZNlnHN0vwSnTEREZP8UEMTRcUN6Mqyi6KAaFzY3O49Ur2fayArKizWzoYiIJJcCgjhqaVy44J33eWNjzX73fWnlNjZsr+M8VReIiEgXoIAgzqomDSQv+8CNCx9asI6ivGzOGKOZDUVEJPkUEMRZz6I8zjqqLw/MX8uu3U0x96lraOKx1zZw1lH96JaX3ckpFBER2ZcCggS4ZPJgauoaeey12I0Ln3ljM5H6Ro09ICIiXUZGBwTxHIcg2glDyziyVxH3tjPh0YML1lFRks9JwzSzoYiIdA0ZHRDEcxyCaEHjwkG8suo9lm2K7LXt/Z27eebNzZw3oT/ZWRqqWEREuoaMDggSqWrSQHKzjXvaNC587LWNNDS5BiMSEZEuRQFBgpQX5zNjXF/un///27v3YKvKMo7j398RVDiKIIKKeAkQ8haal7Q0jSK7OCh5mdDpYv3hH9bkZbCavFA6XRyxvHQZx5rGspmYSMVKbbQyHcZIEymVAREVUUYJMFEYAZ/+WGvLYrM3MmfOXmsv3t9n5syc9e61znl45mGfZ6/1rne9yPoNmycX3vn4csaN3I3DRg2pMDozM7MtuSHooHOPO4DX1m3g3v+sAODF1W8y77lVTD3KTzY0M7Pu4oagg04YM5wDhw9+Z+XCu+ZnTzacMtF3F5iZWXdxQ9BBPT3is8cewD+WrmLJq2u58/HlHHvQMPbfc3DVoZmZmW3BDUGHnXX0aAb0iBlznmTxK2s5/UhPJjQzs+7jhqDDRuy+C5MP3ZuHFq9k4E5+sqGZmXWnpBuCTi1M1GzacQcAcMqEkQzr3bmjv8vMzKwvBlQdQJUaCxN12onj9uKLHzyIqV57wMzMulTSDUFZenrEjCmHVR2GmZlZW0lfMjAzM7OMGwIzMzNzQ2BmZmZuCMzMzAw3BGZmZkbiDUFZ6xCYmZl1u6RvOyxrHQIzM7Nul/QZAjMzM8vUsiGQdLqkGyRdJuk2SeMKrw2RtElSFL5uqjJeMzOzble7SwaSTgKuAw6JiI2SzgBmAxPzXfYBvgnMKhz2SrlRmpmZ1UsdzxB8BlgQERvz7QXA+yQNz7dHAAsj4rnC15utftCaNWtKCLd+Zs+eXXUIXcc5ac15ac15ac152Vo35aSODcHlwNmF7bHARqDxR38k23lGYPXq1X0KoK93JdTluL4WaF9+n3NS7+Ocl9acl9b83rK1smsF2KPdC7VrCCLijYh4uzB0AXB7RKzLt0cAH5P0dUmzJf1S0uD+jKEuhVb27ZQ78n/avqrLv8956d/j+qou/7465MU5aWtouxcUEX39of1C0ilkn/q35YmIuLTFsecA3wI+HBGv5WPTgGUR8XC+fU9+/DdaHL8e2FQYehVYuR1h7wG8th371fW4vdi+PPTH73NO6n2c89Ka89Ka31u2VnatHBwRLc8SVN4Q9JWkMcBvgCkR0fYSgaTzgBkRcXBpwZmZmdVM7S4ZAEgaCPwAOHtbzUBuJTCs81GZmZnVVy0bAmA6cFVELAOQtKukSfn3p0narbDvPsAzFcRoZmZWG7VrCCQdBbwOPJs3AiOAHwFrJQn4OXBx4ZBzgB+XH6mZmVl91G4OQT5J8BNNw68A+0bE25IOBb4DPAnsDiyPiJklh2lmZlYrtWsIzMzMrP/Vbuni/iLpSiDI7sn8S0T8seKQKiXp08AfmobPiojuWUarJJL2Ar4GHBgRny+MDyCbzPoqMBq4LSLmVRNl+baRlwuBm5t2PyYiHiszvipI2gX4NrAW2IXsPfWKfFn1ZOvlXfKSZL3kc9u+BywD9iXLzZUREZKG5K89B4wBZkZE6XPfkmwIJH0JGBoRl0jqAeZKWtCYpJio/YCTgRfy7SAr3KRIei9wHnAmm3PRcCXwfETcmC929YikEyLijbLjLNu75GUUMI7Na3q8HRHN++yobgJWRMQ1AJLuBL4K/JCE64Vt5yXVerkFeDkirgWQ9CTwNNnt8zcDv4uIOZJGAXMkHRsln8Kv3aTCfnIR2QORyFc9vB/4QqURVW8EML/w/Ifnm1aETEJELIyIK4DfF8fzT3sXsrlu3iR7jsbU0oOsQLu85AZExJJC7aTw5t5wNvBoYXsBMCn1eqFNXvLvU60XAb8tbP8bODqfGD8VuAcgIl4C1gMfKjvA5BoCScOAI8g6s4angU9VE1HXGBIR/6s6iC6ysWn7CGBgRCwvjKVYN815Sd2BETGnsD2WbPW41OulXV6SFRHTmi4ZjQDmAycCSyNiQ+G1SmolxUsG7yE7RbWqMPZfstNYKdtV0sVAL/AR4L7GqS0DsrppXl7UdZMZKukyNtfOrRFxW8UxlaLYREvaB5iSfyVdL9vICyRcLw2SxgMPAbeTnbHuilpJsSHoZetPOW8Bw1vsm5I1wK8iYqWkG4Al+byKe6sOrEv0Ahuaxlw3mbXAjRGxXtIvgIWSHo2Ip6oOrCyFNVBmRsRfJX0O18tWecmHk60XSfuRzS05Ebib7G9w17y3pNgQrAcGNo0NBNa12DcZEXFV4fvXJd1FNoHMDUHGddNG8cFjEfG8pIfJronu8G/wBZcACyNiRr7tesk05yXpeskvIV0gaQ/g78DOwMt0Sa0kN4eAbOa8JBUfAbknsLSieLqVnwGxpWVkdVLkumktqdqRdAwwrumJrMnXS5u8tJJUvQDkT+e9BZhMF9VKcg1BRKwAngUmFIYnAA9WE1H1JA2SdHrTcOrPgFDT9nxgoKS9C2Mp1s0WeZG0p6SPN+2TTO1IGgR8GfhKYWwSiddLu7xIGpVqvUia2DS0EVgFzAXG5rfAN1RSK8k1BLkbyW6LaVzjOhX4aaURVWsscIekk+CdBTQmAbdWGlW1eoFBjY2IWE/W0TfqZlfg/cCvK4muOlvkBTge+JOkgwAkjQbGA7NKj6wa04GZZH/8B0s6HLjI9dI6L8CRJFgvkvYF/iXpjMLwZGBWftvl/eR3FeSTMIcA95UeZ4pLF+ed2HfJFsboBR6IiLurjapakk4DzgceJ5shPSsiSi/IquUN4qVkK/KNBH4GXJ9f6xwEXEe28txIspXnHqks2BK9S17OBz5J9ql4PHBzRDza9oftIPIFZJax9Qer6yJieqr1sh15SbVeTiVbnOkxskskK4Gr85UKhwPXkq1UOJpsEuai0mNMsSEwMzOzLaV6ycDMzMwK3BCYmZmZGwIzMzNzQ2BmZma4ITAzMzPcEJiZmRluCMzMzAw3BGZmZoYbAjMzM8MNgZmZmeGGwMzMzHBDYGYdJmknSVdIWixpSZt99pf0rKS5ki7PH6ZkZiUaUHUAZrZji4hNkq4he7LodEmDImJd4/X8j/9HyZ4Ad24KTwQ060Y+Q2BmZTgK+BvZo4DHNb12BvASEMA/yw3LzBrcEJhZGU4GHgQWA+Mbg5IOAZYDxwMPRMSmasIzMzcEZlaGxmWCRcAEAEk7A0dGxDxgMnBfhfGZJc8NgZl1lKRe4PV8cxGbzxCcCcyWtDvwAeDPFYRnZjk3BGbWaaeQXS6AvCGQdBzwRES8BUwClkTECxXFZ2a4ITCzzpsYEQvy7xcBhwCjI+KpfMyXC8y6gBsCM+sISYdJ+glwqaTvS+oBngHmAndIOlzS1cC5wMGSplYZr1nqFBFVx2BmZmYV8xkCMzMzc0NgZmZmbgjMzMwMNwRmZmaGGwIzMzPDDYGZmZnhhsDMzMxwQ2BmZmbA/wG4gzYHjC6azQAAAABJRU5ErkJggg==\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"varInspector": {
"window_display": false,
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"library": "var_list.py",
"delete_cmd_prefix": "del ",
"delete_cmd_postfix": "",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"library": "var_list.r",
"delete_cmd_prefix": "rm(",
"delete_cmd_postfix": ") ",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
]
},
"kernelspec": {
"name": "conda-env-tensorflow-py",
"display_name": "Python [conda env:tensorflow]",
"language": "python"
},
"language_info": {
"nbconvert_exporter": "python",
"version": "3.5.5",
"mimetype": "text/x-python",
"file_extension": ".py",
"pygments_lexer": "ipython3",
"codemirror_mode": {
"version": 3,
"name": "ipython"
},
"name": "python"
},
"gist": {
"id": "",
"data": {
"description": "PRML/notes/BayesRegression.ipynb",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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