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20170120 Multi-Country Correlated AR1 GMRF.ipynb
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"import seaborn as sns\n", | |
"sns.set_style('ticks')\n", | |
"import scipy.sparse as sp" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Simulation parameters" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"draws = int(1e4)\n", | |
"T = 25\n", | |
"C = 3" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"sigma = np.random.gamma(1, 1, C)\n", | |
"#sigma = np.array([1.5, 2.5, 3.5])\n", | |
"tau = 1. / sigma**2.\n", | |
"rho = np.random.uniform(size=int((C**2 - C)/2))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# GMRF RW1" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### RW1 GMRF matrix $R$ " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$\n", | |
"R_{t_1,t_2} =\n", | |
"\\begin{cases}\n", | |
" 1 & \\text{if}\\ t_1=t_2=1\\ \\text{or}\\ t_1=t_2=T \\\\\n", | |
" 2 & \\text{if}\\ t_1=t_2\\ \\text{and}\\ 1<t_1<T \\\\\n", | |
" -1 & \\text{if}\\ |t_2-t_1|=1 \\\\\n", | |
" 0 & \\text{otherwise}\n", | |
"\\end{cases}\n", | |
"$$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"R = np.zeros((T,T))\n", | |
"for t1 in range(T):\n", | |
" for t2 in range(T):\n", | |
" if t1 == t2:\n", | |
" if t1 == 0 or t1 == T-1:\n", | |
" r = 1\n", | |
" else:\n", | |
" r = 2\n", | |
" elif abs(t2 - t1) == 1:\n", | |
" r = -1\n", | |
" else:\n", | |
" r = 0\n", | |
" R[t1,t2] = r\n", | |
"R = sp.csc_matrix(R)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Correlation matrix $M$" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$\n", | |
"M_{c_1,c_2} = \n", | |
"\\begin{cases}\n", | |
" \\sigma_{c_1}^2 & \\text{if}\\ c_1 = c_2 \\\\\n", | |
" \\rho_{c_1 c_2} \\sigma_{c_1} \\sigma_{c_2} & \\text{otherwise}\n", | |
"\\end{cases}\n", | |
"$$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"M = np.diag(sigma**2.)\n", | |
"for c1 in range(C):\n", | |
" for c2 in range(c1):\n", | |
" m = sigma[c1] * sigma[c2] * rho[c1 + c2 - 1]\n", | |
" M[c1,c2] = m\n", | |
" M[c2,c1] = m" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Correlated RW precision matrix $Q$ for sampling GMRF" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$$\n", | |
"Q = M^{-1} \\otimes R\n", | |
"$$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"Q = sp.kron(np.linalg.inv(M), R)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Find (rank-deficient) eigenvalues and eigenvectors" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"eig_val, eig_vec = sp.linalg.eigsh(Q, k=(T-1)*C)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Fill in 0 for missing values" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"eig_val_inv_sp = sp.diags(np.concatenate([1. / eig_val, np.zeros(C)]))\n", | |
"eig_vec_sp = sp.csc_matrix(np.hstack([eig_vec, np.zeros((T*C,C))]))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Draw some random unit variance noise" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"z = np.random.normal(size=(T*C, draws))" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Generate draws of the RW1 process" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"rw = eig_vec_sp.dot(eig_val_inv_sp.sqrt()).dot(z).reshape((T,C,draws), order='F')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Start at 0" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"pi = rw - rw[0]" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Confirm that each country has same cross-sectional random walk attributes as when drawn independently" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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w2muvIT8/v1XjJCYmIjExUfNaRESEiFslIiIylVmPZykw7NmzB/v27VPf7927F3v37sXg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\nIiKiamJjY3HPPffY3ZYXTdbau2azGVu2bNGPN2/eLLyXUwUmqURERET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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11bb27550>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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ufl9T+OFIKhF5kVn7M5yMGTMGVqsVVqtVSomdHTt2eNWxrKysxM6dO4W17+/s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\nAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11b7f5d68>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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i+Ttp5syZavVcRKXTs5dvsPX1dROapLZt2xZXXXWV+t7lciEvLw9DhgxBcXGx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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11f9db710>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"for c in range(C):\n", | |
" sns.boxplot(data=pi[:,c].T)\n", | |
" plt.title('Country {}'.format(c+1))\n", | |
" plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Check correlation between countries for a given year" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"0.123344268393\n" | |
] | |
} | |
], | |
"source": [ | |
"print(rho[0])" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##### T/2" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/Users/kfor/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:1: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", | |
" if __name__ == '__main__':\n", | |
"/Users/kfor/anaconda/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", | |
" y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"<seaborn.axisgrid.JointGrid at 0x11fdd5c50>" | |
] | |
}, | |
"execution_count": 14, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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g5JNPxt13343ly5cjHA7jnHPOwU9+8pP4F6V//etf+PWvf409e/Zg9uzZuOmm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qst3yh1H/PrsCyB50pcWxYtIYQhuzq2+W3yi5SCXJnqPmMNYdodW9IMHDaWA5o156iqTsBBL+KN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\nHMfjdAEvvPACzp8/X/tZHMeQkol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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11fdd5b70>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.jointplot(pi[T/2,0,:], pi[T/2,1,:], kind='hex', marginal_kws={'kde': True})" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"##### T-1" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/Users/kfor/anaconda/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", | |
" y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"<seaborn.axisgrid.JointGrid at 0x11f2a0358>" | |
] | |
}, | |
"execution_count": 15, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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j2FbVhh0H27B4ehYWTc9G0N+JC85cgqKionQ3lxAyRBQwkUnnWKsfv3z8U+yqtpK9FZlh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\nhDhe1KSURpxIeNwkdC8SyDocZ5H7PQuLEhl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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11f2a0080>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.jointplot(pi[T-1,0,:], pi[T-1,1,:], kind='hex', marginal_kws={'kde': True})" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Correlation matrix" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/Users/kfor/anaconda/lib/python3.5/site-packages/numpy/lib/function_base.py:2569: RuntimeWarning: invalid value encountered in true_divide\n", | |
" c /= stddev[:, None]\n", | |
"/Users/kfor/anaconda/lib/python3.5/site-packages/numpy/lib/function_base.py:2570: RuntimeWarning: invalid value encountered in true_divide\n", | |
" c /= stddev[None, :]\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.axes._subplots.AxesSubplot at 0x11fcde5c0>" | |
] | |
}, | |
"execution_count": 16, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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HR8Pl+s+0rEmTJjh58iSOHTt2xn7Rt9xyCz788EMMHjwYTqcTDocDCxYsQFSU/GaYVVon\nh2VlZSgpKUFVVRUaN26M8HB52wQJ08pERESkU218rKxzvlJRUQGP58xtj3742u8/893nkpISFBUV\nIT09HR07dsSyZcswbtw4rFq1CrGxsRZ/CnNaJ4ePPPIIIiMj4XK58PTTT+Ppp59Gq1at0LNnzxr3\nwbQyERERNXQ65ythYWFnTQJ/+NrnO3PJx8yZM3H55Zfj7rvvBgA8++yz6NOnD95++22MGDHCyo8g\n0jY5PH78OHbs2IGhQ4ciGAzi1ltvxfvvv4/NmzdbmhwyrUxEREQ6OWrhnUOd85X4+HiUlJQgGAzC\n8e+1m0VFRfB6vWjUqNEZ37t7927cc8891V8bhoGkpCR88803Fn8CmbbJodfrhc/nw8cff4zbbrsN\n+/fvx9atW/Hoo49a6odpZSIiImrodM5XrrjiCrhcLmzfvh2dO3cGAHzxxRdITk42vW5eXt4Zxw4c\nOIAOHTpoGQugcXLo8XjwzDPPYPz48Xj55Zcxb948pKamIjU1VdcllIww83SxK8L8OAB4YxTnjpmf\na/q9nDyT0sWqAOW/VCnikHl/qpJ7FUIKr7EinRdUpP2qhFSylEhWnVOW3FOklaXEtEPRxuk2L5ul\nupYq7edQJA5tsVNSTkr2qhqpLiM8v2xHfm38TBJV0pvsM1yKUm6K8mtSSTlPlLyu3BsjlK5TpJWl\nRDIAnCgyL8sZCsj3Q+mc6jouxT3Z5ZXKicr3B5eiHJ90z1HtjiDtxKC8fyl+t1LpUmX6ucr8cWjI\naWWjgSdSvF4v+vfvj/T0dDz33HM4evQoFi9ejKlTpwI4/S5iVFQUwsLCcOedd2LChAlITk5GSkoK\nli9fjm+//RYDBgzQNh6taw737dsHh8OBp556CuHh4Zg0aRKuvfZa3HrrrTovQ0RERFRjjgY+OQSA\n8ePHY+LEiRg+fDiioqLwyCOPVC/L++Uvf4mpU6diwIABuOWWW1BRUYH58+fj6NGjuOKKK7BkyRJt\nYRRA4+Rw06ZNeOutt3DTTTfhhRdeQGxsLK677jrMmzfP0uSQaWUiIiL6ufF6vcjMzERmZuZZ5/bu\n3XvG1wMHDsTAgQNrbSzaJoe7d+9GVVUVioqKsHTpUhw9ehS/+93vUCW8/SxhWpmIiIh0Um0ETmfT\nNjn0+/0oLy/H9OnTkZiYiKSkJHTr1g2bN2+21A/TykRERET1R9vksEWLFnA4HJg7dy4eeOAB7N+/\nH1988QWqqqoQCATgVJTi+TGmlYmIiEinhh5IaWi0TQ4vuugiOJ1OHD16FHfeeSdiY2Nxww034L33\n3kNpaSmio6N1XcqU4TJPd6mSYu4IuR5mWGPzc6qEc6yQgFOli6VEMgAUnjRPESvCeeI5dRv5pE8Y\ngydcTvtJ9UxVKUWnW37LX6rRqq7HrEpGm1/L6ZFTioajjm4sqpSucEoVLlaP2nptZSMoP0bys0j1\ncY75GM7n27iYtA5qLvxs41My6T4JAA6PfG+T7qOqeszuiErT42GNFDs0KHZOkJLHFcfMr2OXOk1t\nPgZVG9VuEE6v+e/DqarvbCfhXGW97rKd+s4NOa18PgRSGhJtk8OOHTuiWbNmaNmyJebOnYuCggI8\n8MADAGBp3SEDKURERET1x/bk0O/3Y+DAgXjmmWfQrVs3eDwePPXUUxgzZgxWrFgBp9OJ//f//h8O\nHjyIyMjIGvfLQAoRERHp1JDf1WyIbE0O/X4/Hn300bN26J49ezb69OmDQYMG4fPPP8ecOXPQuHHj\ns+oCqjCQQkRERFR/LE8O9+3bh8cee+ys4+vXr8dXX32FhQsXIi4uDp07d8Ybb7xh6V1DgIEUIiIi\n0otrDq2x/D7rli1bcM011yArKwuhHwUZ9u3bB6/Xi9mzZ+PIkSN46623qsu9EBEREdUXw2lo/3ch\ns/zO4d133216vLCwEN27d8ehQ4fQr18/XHTRRdUfL9cFQ0jaqWpKunxyktkTYZ78Cmskt4koN6+v\nGatIK6uTzObHv1Ok3+S+rF8HACJd5id9ZYqEszC+QJUitedWJI+FmsxOxeOgSj1KKWdVYlqVjP45\nUdU8NoTYtOLpBfnv0/qv72yX9DjYoawxbSf97JCfx4ZbTru6vOa7N6gSrdL91RMhBxSlnQkAOSkc\nVNzApCSzqo2nSn4cgsKOFFL9d0Bdx9kp3BNVuy1Ij7mdhDMgp5wdfkV/QvqZ6/ouHNrSyhUVFYiN\njcX8+fOrj61cuRKfffaZpX6YViYiIiKdWCHFmnNKK4dCIezduxfdunVDWFgYvv/+ewDA/v37MXDg\nQDz++OPweuW9s8wwrUxERERUf84prfxj8fHxyMvLw9dff41Ro0ZV11m2mi5mWpmIiIh0YiDFGm1p\n5Y4dO2LevHkYOHAgmjdvDgDIyclB165dLfXPtDIRERHpVGdVri4QlieHP6SVx4wZgw4dOlQf7969\nO9xuNxISEjBo0CA8/fTT2LlzJ6ZOnap1wCKX+eJnaSE1ALjD5f0XPRHlpselsnoAUFVuvtC6kVBO\nDgAqFIuVVUERiRRWsRtI8QfN12lIQRXVtXynFAuzXfJ6ECnIYifEAshBFlXoxKkoj6WVnUCFoom9\n0nqqn1W+mPSMUAU0lIELOzSGQRp6uMXOY6cKnUj3UEAO9rkj5GVDgUrzgN6pCvPjAOCOlMcQFMJ7\nqqCbpEoIDwJASBH0kYIsQcU9XlVaTwqeqAIzTrf5z6sat6EIl0hBFlXYyCFcy8FAygVDW1rZ4XDg\n7bffxoQJEzBx4kQEg0HMmTOn+l1EIiIiovrgYCDFknMKpPy34uJiVFVVwTBOvydx5MgRXH311Zb6\nZVqZiIiIqP5oC6QUFRUhLS0NgwcPxl133YUJEyZg8uTJaNasGXr06FHjvplWJiIiIp0u9E2rddNa\nPi8uLg5jxozBpk2b4HA40L9/f6xZs8bS5JBpZSIiItKJk0NrtAVSbrjhBrRr1+6s7y8tLbXUP9PK\nRERERPVHWyClZcuWaNmyZfXXoVAI69atw+jRo+2PzgIphef0yuk31Tl3hHkq2ROhSNoJJffclXJS\nrLGNtLI6eWx+7nubaVupv0BIkS4WhqcqFehTnPMIKWd3mJwuViUYpVJXqlShqlRfndGcZIbiuWeL\nMD5l6F5M4yoGbtTROwB2k88NIOUsUiSSpRKkgHyvtHN/VSWcVYlbqQydVFYPkLcvUe15J5XcayhC\nAeF1priHqnZ2kB5zp+L+ILUJNuC0MgMp1mgrn/djfr8fgUAAzZo1w6BBgyy1ZSCFiIiIqP5oTSt/\n+umnmD59OvLy8uBwOPDrX/8aYWHyvoBmGEghIiIinbjm0BptaeXDhw/joYceQtOmTREdHY077rgD\nGRkZuOaaa874uPmnMJBCREREOjlYIcUSbWnlb7/9FjExMfD7/Vi2bBlat26N5cuXIzc319LkkIEU\nIiIiovpjeYXmD2nlrKysM44fOnQIBQUFmDx5MrxeLxYvXoyTJ0+iTZs22gZLREREZJXhdGj/dyHT\nllZ+//33EQqF8MADDyD47ySTYRiYMmUKlixZcm6jrAFDSOGp6kO6fNaTdlItTECuu6xKwQYVKVg5\nKSw2sVWPWZVklvpT5TjllLX8YvIH5cfBJ7wIfYrUtkfxQEjpRqci4RxUpP20UiVdpfSsKlWrSn8K\n11J/+KK4luL3IZJ+XmVSuI5uynZT0XZSznbqJNu4juGSayurzjmEJLPLp9q9wbxNUKjl+1PnPBFC\nTWE7Nz0FVV1jVU1miZSyVo9BbuMOWF8NpqzVLKbA5TE4hHNOoQY3nX/O6TdpGAaSkpIAAAsXLgQA\nlJWVIT8/H9u2bUNmZiaGDRtmqU+mlYmIiEgn1fZFdLZzSiuHQiHs3bsX3bp1qz4eGRmJiy66CGlp\naejSpQuWLl2KXr161bhfppWJiIhIJ6aVrdGWVs7Ly0NJSQm6du2K6dOno7CwENdccw327NljqW+m\nlYmIiIjqj7a08ocffohVq1Zh0qRJyM7ORtOmTZGfn4+2bdta6p9pZSIiItLpQg+Q6KattnL//v2x\nYMEC/Pa3v8W4ceOQmZmJ7du3Y+XKlVoHLBLK9khBFeAnwipe83CJVFYPANzlVebHFSGWKp98znfS\nfAF2pEteXOwPmj8O6pJ74imUCaXr7FCNIdKleuGajyEQkj8m8Cl+JrEcX0AOnagWdNshhkG0hxnk\n/sRrqcZgJ3SiYufntVvWTiKGYmz+rHaCLNLPVJel+ByK0JVwf1XdQx1COEFdck++vzr95mEVlypI\nJrxuVYEPVYBQKhvnLzO/99vlshM6sVs+z045PuFxVZU/pPOLtrRyfHw8br75ZmzYsAHPPvss/H4/\nhg4dWh1YISIiIqoPDKRYo618Xl5eHtauXYuKigo4HA4Eg0G89tprSExMxJAhQ2rcL9PKREREpJPB\nCimWaAukPP3002jZsiVSU1Nx++23Y+DAgRgxYgTuuOMOS30zrUxERERUf7QEUr755hts27YNAPDS\nSy9hzpw5qKysxIwZM7Bx40YsWLCgxv0zrUxEREQ6ORhIsURLIKV58+Z455130L9/f7z66quIj4/H\n0KFDMXz4cNx6662W+mdamYiIiKj+aAmkOBwO+P1+OBwOrF69Ghs3bkRxcTEOHDhQ/xM9IWUH2Eza\nKcoDuYTksXQcUJfj84SbJ798ZarUr1RyT34c7OTL7KSYAzYXBEtj9yj+EAwoEq0+YRyBSvlxdfvr\npiSaKh8rPnqq9K7i+S8GZBVjsPds0fwXu+LnlRLYUjr8p/qTL6Tqz04ZQeFRr6tkNgDDKSdapXOq\n7UGcbvNyfKp7qFNxT5baqZK4To95kllVgi6oeK3bKYWnSjJLaWpVSUApRaxsozwnpJUVbaRxS6X4\nGgJugm2NtkKI+/fvh8PhQNu2bTFs2DAMGzYMK1euRI8ePdCzZ88a98NAChEREenEfQ6t0ZZWHjBg\nANq1a4cZM2Zg1qxZiI+PR/v27bFs2TJLk0MGUoiIiIjqj7a0ciAQwGOPPYaLL74Y77zzDrKzs5GR\nkYGEhARLfTOQQkRERDoZiiU2dDZt5fN+//vfY//+/cjKykJ4eDhat26N+fPnIzIy0lL/DKQQERER\n1R/LU+kf0spZWVlnHHc6nQgEAsjKysKRI0fwxhtvoLi4GBkZGbrGSkRERGSZw+nQ/u9Cpq18XkVF\nBW666Sa88sormDp1KjweD+69994z6i/XJqmGsuFW1PH0mKfpADnJrKz96a4wPa5KJKvOBYTUnM8v\n1xKV6herSgNrLhssJplVtZBVpPFJqePT5Beu9Bj5FC92Vfq53ulO4p7HtNasVl3HTqO6SjjbHYNL\nvh9CuL86FG2kHR9Uu0Qo6y5XmddWlmouA4BLSM+qkriq3SWkmszq/uRzpyrkseukTh6bPyeUtZrF\nlHXDnTAxkGLNOaWVDcOorp184sQJ7Nq1C7fccgvuuusubN68GTNnzsT//u//4sorr6xxn0wrExER\nEdWfc0orh0Ih7N27F926dcO+fftw/PhxLF++vPoj51AohFGjRmHjxo017pdpZSIiItKJ7xxaoy2t\nfNVVV6GwsBDPP/88ACA/Px9333235XQx08pERERE9UdbWrlr1654+eWXERsbC8Mw8PjjjyMuLs7y\nmkOmlYmIiEgnbmVjjZbaygDQt29fzJ07FxkZGejcuTOys7MBnH4nsE4Iv3hDtWDaVqkm1WJqqVyU\n3/Q4oF78HKgSgh1VciDFJ4RB/IrFxarSemLARREGkYInFcrkixwYCAjVsVQBF9Wl5CCLYgw2wzQi\nISChOzihDCAIp1RDUD4KtsrQSWXjFL9AGwEcVfk87Y95XbETYlEwHIryecJ9NGTj/qq676rL8Vkv\naRoUQixSCToACCgCf9L9WtWfHbqDKlK5OwBw2iifJ51r2IEU+flNZ9OWVo6MjMSiRYuQkZGB5cuX\nIzIyEpmZmdWBFSIiIiJq+LSVzwOAY8eO4dixYwgGg4iLi0NERITlfplWJiIiIp0YSLFGWyDlu+++\nw6hRo9ClSxc4HA707dsXDz74IN577z3Ex8fXuG+mlYmIiIjqj7ZAytatW+FyuVBZWYk+ffpg5MiR\nWLRoEXZSznWAAAAgAElEQVTs2IHevXvXuH+mlYmIiEgnBwMplmgLpERHR6OkpATbtm3DqFGjsH79\nepw4cQKXXXaZpf6ZViYiIiKd+LGyNdoCKV27dkW/fv3wzjvv4L777kMoFEJmZiZat259rmOsETGJ\npErgKZ4sUuxd1Uaqtej0yGNQnnML/bkVbVzmbXyKNJ0/KKfzIoX+7JFTofaSzKqxqRKo5u3UCWdF\nd6Rmq8yboo2dJLOdRLKijeonEpPRDSAVrUpt26FKgEr3SoeijSp5HKgU+lOkn8UyqKr0ruKeLJWU\nU5ens1OGTm/JPdXPe46F0ugCpe1ZUV5ejkOHDsEwDGRlZeHDDz/EpEmT0LFjR7Rp06bG/TCQQkRE\nRDrxnUNrtKWVX3nlFRiGgU6dOuGee+7B5ZdfjksuuQRLlixBenp6jftlIIWIiIio/mhLK+/YsQO7\ndu1CamoqMjMz8cknn2DmzJmWt7NhIIWIiIh0YoUUa7SllcvKyuB0OpGRkQHDMNCmTRssWLAApaWl\nlvpnIIWIiIh04sfK1lh+tH5IK2dlZZ1xvHnz5qisrMSSJUtw5MgR/OlPf0JJSQnj40RERETnEW1p\n5csvvxz79u3DqlWrMHv2bLRp0wbdunXDd999d86DrC3K5LGQmlPWY/Z6TI+7vHJtZbdX7k9Kpanr\nMZsnjz1CzWUA8Cn/ohLqOyvrMQvHlYlfO0lm64lkVTt1rWbNtZWF1KgqU9gQagAraxSLjVTFmu38\n8WjncZCvIz3mmn/jDYOy1rbqnPXdIBxC3WXp3grYSx47PHJ9Z6dYW1l+Dqnur1LyWJUudiuTwvro\nrsesqpMs1ZJWPQ71je8cWnNOaWXDMKprJ9988814+eWXkZ6ejtTUVPz973/H6NGjLVVHAZhWJiIi\nIqpPliaHR48exZQpU5CdnQ2v14tQKISqqioAgM/nw8UXX4ynnnoKTz31FFq3bo3BgwcjOzvb0oCY\nViYiIiKdpH2IyZylyeHo0aMRHR2NN954AyUlJRg8eDBWrFiBa6+9Fg8++CCSk5Px4osv4s9//jOW\nLFmC8vJytGrVytKAmFYmIiIinZhWtqbGk8P9+/cjNzcXn332GWJjYwGc/lh506ZN2Lx5Mw4dOoQ2\nbdqgbdu2+N3vfocdO3bg/fffx0MPPWRpQEwrExEREdWfGk8O4+LisHDhwuqJ4Q9OnDiBHTt2ICkp\nCRs3bsSbb76J6667DmVlZSgrK8Ptt9+ufdCmbCyYVv0l4XRbX0wtlZJSB1+sl9Zz+uVyd1JpPXeY\nfB2fohyZFMTwKP4I8znN26hDHdYDJPZK7snjCCrGYGudtd0ScHResxMckoI+qr50l8JTke6VIcX9\nVbr3qu67tkKCQlk9QA6xGH45vGE45NetU7jxqcIbQcU5p3BOHQax/ntXhVWkEImd6zRkDKRYU+NH\nKyoqCtddd13116FQCKFQCFdeeSUKCwtx0UUXYdasWViyZAn69euH8vJytGjRAj6fr1YGTkRERET6\n2Q6k+P1+uFwuPP3003j99dfh8XjQo0cPtG7dGv369cOIESOwYMECywNiWpmIiIh04juH1tgKpPTs\n2ROrVq1CbGws1qxZg7CwMHz//ff49ttvMXLkSPj9fvj9fni9XssDYlqZiIiIdGIgxRrLgZTU1FSs\nXr0azz//PILBIKZPn47Bgwfj888/x8CBA6vf1SsqKrKVLGZamYiIiKj+WAqk3HbbbVi9ejVeeOEF\n9OrVC2vWrEFpaSk6duyIl156CU8++STatm2L4cOHIycnB127drU8IKaViYiISCeHEBglczWeHBYU\nFGDt2rUYOXIkUlJSUFhYiMWLF6NLly7o3r072rRpg88//7x6c+ydO3di6tSptTn2GlEm41RJZmF9\ngmojTaeQjJOOnz5XJZ5zCaX1Aoq0slT6SSqrBwAeRRTXJ5XCUyYyzR8jdeLXTik8OyX3VONQjIHr\nVQA0jBJ+dUVZKlDz42CnP+1j0Jw8DgnnVGu/pF0iACDoNk/cBlTl+IQyeVJZPQAIKs7ZKRsXFNqo\n2knXUTEc9p4Pqv9PZEJZwgZcPo+sqfHkcMOGDQgGg5g3bx7mzZtXnVZ2OBxwOByYM2cOnnzySTzz\nzDMIhUKYM2cOmjdvbnlADKQQERGRTgykWFPjRystLQ0ff/wxevXqBbfbjVAohJtuugk7duwAAHz3\n3XeoqqqC8e+93Y4cOWJrQFlZWUhNTRX/ZWVl2eqXiIiIfp4Mp0P7P938fj8mTJiAbt264frrr8fi\nxYt/sk1+fj5SUlLw+eefax2L5bRyYWEhAoEARo8ejT//+c+YPXs27rvvPqSlpWHw4MEYMmQIxo4d\ni8mTJ6NZs2bo0aOHpQExkEJEREQ/N9OmTcOePXuwdOlS5Ofn44knnkCrVq3Qu3dvsU1GRgYqKyu1\nj8VSWnnHjh1wuVyYNWsWevXqhdatW2PatGlISEhAXFwcxowZgy1btsAwDPTv3x9r1qyxPDlkIIWI\niIh0auhb2VRUVGDFihV49dVXkZSUhKSkJIwYMQKvv/66ODn885//jBMnTtTKeGr8aJWVlcHhcCAt\nLQ0pKSkoKirC8ePHUVpaihtuuAGZmZlntSktLdU6WCIiIqILzd69exEIBNCpU6fqY126dEFubq7p\n9x87dgzPP/88Jk2ahFAtlGOt8TuHmzdvRigUqg6kAEDw30mwli1bomXLlmd8/7p16zB69GiNQ/0J\nNmorK+suS2llRfJYrP2pSNNJ9ZNPnzMfg7KNkDxzC8lnQJ0w85wyT8BJ9ZMBICA8UVVt7NRWVtVq\nVoXm/DaSgOo0dd0Q6+/a7lBfDWCASeYf2Hoc7LSpw9rKtmrXC1uHqO6hqnVctu7JQg1lZRvV7hLC\njSWouOFIbQBFWllz6tdOnWR7KeaGq6EHUgoLCxEdHQ2X6z/PvyZNmuDkyZM4duwYYmJizvj+qVOn\n4vbbb0fbtm1rZTw1nhympaUhLS2t+utp06Zh2bJlWLly5Rnf17FjR6SkpKCkpASDBg2yPCCmlYmI\niEin2pgc6pyvVFRUwOPxnHHsh6/9fv8Zx//+979j27ZtmDRpksUR15yt2soff/wxTp48iZtuugkJ\nCQkAgE8//RTTp09HXl4eDMPApEmTEBYWZnlALJ9HREREDZ3O+UpYWNhZk8Afvvb5fNXHTp48ifT0\ndGRkZJw1mdRJS1p50KBBeOihh9C0aVNER0fjjjvuQEZGBq655pqzPm7+KUwrExERkU61EUjROV+J\nj49HSUkJgsEgHP8ea1FREbxeLxo1alT9fbm5ucjPz8fDDz98xlrD3/zmNxgwYAAyMjKs/yAmtKSV\ne/TogZiYGPj9fixbtgytW7fG8uXLkZuba3lyyLQyERERNXQ65ytXXHEFXC4Xtm/fjs6dOwMAvvji\nCyQnJ5/xfR07dsT7779/xrFevXphypQpuOaaa7SMBbAwOVSllQ8ePIiCggLMmzcPXq8XixcvxsmT\nJ9GmTRttA/0p4l8FykCK/JeEtChZuWBaKhdl4zoA4PSYL6Z2uhXlp4SwSqBKXvDuVJTWcweE/ioV\nJffEx0geg2r9tRQ8CdoIsajYC6pcgFR/YQvlyJR0BydU/UnBDsNGGMpmwEYMDqn6k34mVRtbIRbF\n42AjXBKyVXLPehBQdU7VRgwJKp7HqtJ6IakcX0DuLxRQlBgUz1n6UO8n6Q64nI9hFWV5yAbA6/Wi\nf//+SE9Px3PPPYejR49i8eLF1WWIi4qKEBUVhbCwsOrlfD/WrFkzxMbGahuPlrTyBx98gFAohAce\neKD6mGEYmDJlCpYsWaJtsERERESWNfDJIQCMHz8eEydOxPDhwxEVFYVHHnkEPXv2BAD88pe/xNSp\nUzFgwICz2hnKP37tsZRW7t+/P6ZMmYLs7Gz4/X74/X6sXLkSSUlJAE6/u/jVV18hLS0NFRUVGDZs\nmOUBMa1MREREPzderxeZmZmm+0bv3btXbPePf/xD+1gsB1Kio6PRs2dPrFq1CrGxsXj33XerJ4eR\nkZF45513UF5ejquvvhpLly5Fr169LA2IaWUiIiLSqoFXSGloLAVScnNzkZqaitWrV+P5559HMBjE\n9OnTcfvtt6OkpAQAkJ2djaZNm6JZs2bYs2eP5QExrUxERERUf2o8OYyLi8Ntt92G1atX44UXXkCv\nXr2wZs0alJaW4sMPP8Tbb78Nh8OB9PR0PPXUU8jPz7e1czfTykRERKSTFKoiczWeHBYUFGDt2rUY\nOXIkUlJSUFhYiMWLF6NLly7o378//vjHPyIhIQGtWrVCWVkZtm/fflb1lPqgekIYbnkDSTEZp3hr\nWizv5HGLbRyVfvGc4TBfZKosnyekkqWyegAQdMv9SWWh3H5V8th6uTuf4nUrtVMG8JS74Z+fSeaf\nU3k62+ykfn9OVB+t2Tin3DvOZX7fUyWcVf053eb9BZzyPTQo9OewuYOEIZXjU9xvVPdrKUUcVNxv\nHEJZVRVVeT+dGnSK+TwIpDQkNZ4cbtiwAcFgsDqtHAqFEAqF4HA4UFpaCp/PB6/XiwEDBsDv92Po\n0KHVaxGtYCCFiIiIqP7YSiv/uHze7NmzMXz4cCQlJSE7OxuGYSAYDOK1115DYmIihgwZYmlADKQQ\nERGRVnzn0JJzLp83ZcoUbNu2DQ6HAy6XC263G5WVlXC73fjoo48sTw4ZSCEiIiKqP1rK533wwQe4\n6667MHbsWHTp0gVDhw7F8OHDceutt1oeEAMpREREpFNt1Fa+kGkpnxcTE4Pi4mJ0794dLVu2hNPp\nRGxsLCd5REREVP/4sbIlWsrn7d+/H4ZhYN68edi4cSOKi4uRk5NjWualtjguu870uOcyvdeJ1Nsd\nXcDCIhvX9xCIzuBMaC+fVJ0jop8VS4GUtLS06q+nTZuGZcuWYcWKFdi1axccDgfatm2LYcOGYcuW\nLZg2bRp69OhRXRewpphWJiIiIq34zqEllgIpR48ePSutnJiYiEsvvRTt2rXDjBkzMGvWLMTHx+Oq\nq67CsmXLLE8OmVYmIiIiqj/nnFaePXs2Hn30UTz22GO4+OKL8c477yA7OxsZGRlISEiwPCCmlYmI\niEgnBlKsOee08vTp0/HNN99g//79yMrKQnh4OFq3bo358+cjMtL6Cj27aeVT33xpejzk9oltQlI1\nBUCuFuBQPGRCf8rrnK8aws9kyBVX6pK0tvABo7XYZsjVrUyPN2sfL7aJSjQ/FxYtv87CYqLEcw5v\nuPlxX4TYRvXRjOHxWm8jVL0wXHL1IlUlD0O6luojJan6h6rclrI/83O2/nNSXecnXoOOtt3POub/\n7hu5gVN+zEPSfU/1GmwI9wjd7FTauRAfB5vCIuT7Ua3jx8qWnFNaubS0FMePH4fT6UQgEEBWVhZ6\n9uyJTz/9FMXFxZg1a1Ztjp2IiIiINNOSVq6oqMCvfvUrvPLKK5g6dSo8Hg/uvfdedOjQoXZGTURE\nRFRTfOfQElvl87Kzs+H3++H3+7FixQqkpaWhoKCg+nv9fj8WLFiATZs2YcWKFZYGxLQyERERUf2x\nHEiJjo5Gz549sWrVKsTGxmLNmjW49NJL4fF4sHz5cgBAfn4+7rrrLkRHR1seENPKREREpJNyDTGd\nxVIgJTc3F6mpqVi9ejWef/55BINBTJ8+Hddeey3cbjeaNGkCAHj88cfRtm1bOGwswGZamYiIiLRi\nWtmSGk8O4+LicNttt2H16tV44YUX0KtXL6xZswalpaXo1KkTXn75ZYRCIWzevBk5OTno3LkzWrUy\nT2SqsLYyERERUf2p8eSwoKAAa9euxciRI5GSkoLCwkIsXrwYXbp0Qd++fTF37lxkZGTgq6++QnJy\nMrZs2YLHH3+8Nsd+hqDXPCJv+CvENobTfBsNQLVjwSl5EMKWBYZqK4MGvs2B1m147GwDAciPUShk\nfyx1QNquBgD+b/PXpsd77i8R28RfctT0eKOERmKbiGby1hGeKPMta1wRwpY0ANyKcy5vmOlxh0e+\nzTi95tunOFzya9PO1jjKNtK1bGxXo+xPRdr+Rrmdjvq16THZyibkNt++CACMoOLeZseFuO1LQx9f\nPWvQ27YxkGJJjSeHGzZsQDAYrE4rh0IhhEIhOBwOREZGYtGiRRg3bhxyc3ORkJCAWbNmISkpyfKA\nGEghIiIiqj+20so/Lp83e/ZsAMCxY8dw9OhROBwOREVFISJCsZGuAgMpREREpJO4QT6Z0lI+79e/\n/jVGjRqFmJgY3HvvvYiOjsaDDz6I9957D/HxcsUHMwykEBERkVYMpFhyzuXzpk2bhpSUFLhcLhQX\nF+PGG2/EVVddhUWLFmHHjh3o3bu3pQExkEJERERUf86pfN7x48dRWlqK6OhoHDt2DABw6aWXYv36\n9Thx4gQuu+yyWhs4ERERUU3wY2VrtJTP69q1K26++Wa89957uP766xEKhZCZmYnWrVvXyqBNCUXj\nQy45MWecOimfk55IIfmtaTGpZfftbDvJL81tDCFxaCcnLPX1Uxp2JlnWrL28pEJKJa8vKBfbdPYH\nTI8nFpwQ20S1KBPPhTf1mR4Pa2SeOgYAd4R8zhVh3p9LSCQDclpZ1UaZfhbSyoZTfo473Ob9qa5j\nKF7ThksYu6qNlEq2mZiWhBQ7NKhISWZlOtXOvShk/hw/3Z9hvT+xL5v35IaQwJbGoLqO3Z0iLNL4\nG6J6ZimQkpaWVv31tGnTsGzZMqxcuRLl5eWoqKjAmDFjcOONN+L999/HpEmT0LFjR7Rp08bSgJhW\nJiIiIq34zqEllgIpR48ePSutnJCQgLlz56K0tBSffPIJFixYgMsvvxyXXHIJlixZgvT0dEsDYlqZ\niIiItGIgxRItaeU9e/Zg165dSE1NRWZmJj755BPMnDnT1nY2TCsTERER1R8taeX4+Hg4nU5kZGTA\nMAy0adMGCxYsQGlpqeUBMa1MREREOimrDdFZavw+q1laubS0FKWlpWjRogUqKyuxZMkSHDlyBH/6\n059QUlICB9/GJSIiIjqvaEkrX3755cjLy8OqVaswe/ZstGnTBt26dcN3331XO6M2IaXmVKlC5QLV\noJCaM+TsrGEIiTA7CWfAwtS9BjQn2eoylWY35SyxU//TzhiiEuW0slQnWUokA8DWkkrT42Wn5LEl\nlvnFc9HHzOvs+mLk+slhjeQUsTvSPGntiZATslIqWUoxn24jJ6alhLGUSAYAp402qvSzlJi2k35W\nXUd1Tjfx/qp6XUg7HdhO7+r8eW3eU2zVc9ecFBbHUIc/k5Qcr6NUtC0MpFhiOa18+PBhTJw4sXqy\neP/996N3796YO3cuRo8ejU2bNmHr1q3w+/2Wq6MATCsTERGRZpwcWmIpkBIKhZCWlgaX63SzUaNG\nYenSpbjyyisxefJkTJgwAaFQCJdeeimio6ORk5ODf/3rX2jevHmNr8G0MhEREVH9sTQ5LCoqQjAY\nxIEDBzBz5kz06dMHeXl5yMnJQe/eveH1erF27Vq0bNkSM2bMwP79+7FixQo89NBDNb4G08pERESk\nk3KJGZ3F0uQwKysL33zzTXVaOScnB1988QUGDx6M5557DsnJyWjZsiVCoRA2btyI9u3bY/v27ZYG\nxLQyERERUf2p8eRw3759mDdvHkaOHImUlBT06NEDR48exXXXXYc777wTL7/8Mq644gocOXIEr776\nKkpLS3HttddixYoVtTn+/5AWOSsWP4ccigXi0gkpqAJAXjCtKOGn6M3W2l47fxypLiQ9fnbaNBB1\nFaYJi44UzzVKaGR6XFUKTwqefKUInfiD8mLzVgHz/mKPy2Ul1WEV86CIO1IOpLi95q9BtyLE4vTI\na4ekgIsqDOIQAiRORSBF3Z/5OSn4AtgLpKgCMwBg+uyz+9oU2qmiDFLJPbuvP71lNOuwfJ7WII2C\nrbDMeXAtXbjm0JIaP2s3bNiAYDCIefPm4frrr0dBQQEA4G9/+xsWLlyIq666CgcPHkS/fv1w6NAh\nLF68GJGRkfD75f+4iIiIiGqd4dD/7wJmO628detWxMTEoGvXrsjKysIdd9yBmJgYPP/88zh06BD6\n9euHcePGweuV32kww7QyERERUf2xHEgZMmQIrr32WqxevRoHDx7EI488gqqqKsTFxWHfvn349ttv\nMXLkSPj9fhQVFVkOkDCtTERERFpd4O/06WZpcrhr1y4UFBTgwQcfRGJiIhITE3HJJZcgLy8PXbp0\nwfz585Gamlq9v2FOTg66du1qaUBMKxMRERHVH0uTwxtuuAEdOnTApEmTMH78eHz00UfYvXs3Bg4c\niG7dusHj8aBVq1YYMmQIxo8fj507d2Lq1KmWBsS0MhEREelkvzLPz5OlyaHD4cDcuXMxadIk9O3b\nF6FQCG3btsXkyZNhGAbefvttTJgwAc888wxCoRDmzJljaQPsWqFIJCuTZ1LJO9XzS0oyq4Jdiv7s\npPrEH0k5blUCTzin2jNKGsTP7MUZFhMlnotoZn4uqkWZ2EYqhadKJB88USWeCwjNVP3FVslp/fBK\n83Sqp1xOHnsizNPFbqEvQE44A4DLZ97O6ZaTik6vkFa2kUgGAIfHevpZSiXbLeFni61yotZ3g7BT\ncg+Q74e2/tPXvNuC6mdqELlezeVTbe1iUd9+Zv//nCtLk0Pg9Me6L774Inbv3o2ioiKkp6djypQp\neOqpp5CQkIClS5diy5YtGD58OK6++mrLA2IghYiIiKj+WJ4c/ndauXv37li+fDnGjRuHXbt2YerU\nqdizZw+CwSDeeust3HnnnZb6ZyCFiIiItDLqaofbC4OWtLLf78fhw4eRlpaGwYMHY8iQIRg7diwm\nT56MZs2aoUePHjW+BgMpRERERPVHW1p5y5YtiIuLw5gxY7BlyxYYhoH+/ftjzZo1liaHDKQQERGR\nVqytbIm2tPINN9yAdu3andWmtLRU22CJiIiIrGJa2RqtaeWWLVue8f3r1q3D6NGjtQ5YK1XSzikk\n7QJyihKGkEtTpvNUWTbryS9xVYVQRxdQv2ikFF5DLjH6k+ooUefwhovnPFERpsfDm/rENtHHzPuT\naiQDciIZAI5UmCeZqxTPyQpFh7HCuUZlcmLaH2l+zk7CGQAcHvMnmTrhbH7OpWjjUCSF7aSf5bSy\n/DhoTyurSElm5WvpPEy0ArbG1+AnHrof84b+O6RzpjWt/IOOHTsiJSUFJSUlGDRokKX+mVYmIiIi\nrRr6BL6B0ZpW3rRpE6ZPn468vDwYhoFJkyYhLCzMUv9MKxMRERHVH21p5b179+Khhx5C06ZNER0d\njTvuuAMZGRm45pprzvq4WYVpZSIiItKK7xxaoi2tXFFRgZiYGPj9fixbtgytW7fG8uXLkZuba2ly\nyLQyERERacXJoSXa0soHDhxAQUEB5s2bB6/Xi8WLF+PkyZNo06ZNbY39TA1hg0txDHZLF9l5MmsM\nsQDi+LSW9msoNG914PCZh04AwBXhNT0e1khehuGLMW8Te/yk2EZVCk8KnvxLUbouoAirSNeqUARm\nGgvnfBXyGE4pxieFSE6pAimV5uecHkXJPUU5PrmEn/z8kgIuDuUYLK8KQkhxn6yrO6gyAGejP2U5\nPhtjsENZPo+TEjoPaUsr/+Y3v0EoFMIDDzyA4L9r9RqGgSlTpmDJkiW1MngiIiKin8JJujWW//Ss\nqKhAeXk5wsLCEBERgYKCAkyZMgULFy4EAJSVleGrr75CWloaKioqMGzYMEv9M61MREREVH8sTQ5D\noRDS0tLQsWNHvPvuuzh48CAefvhhLFu2DOPGjYPL5UJkZCTeeecdlJeX4+qrr8bSpUvRq1evGl+D\naWUiIiLSiu8cWmJpcvjPf/4TsbGxSE9PR3h4OBITE9G5c2ds2rQJ27dvr/6+7OxsNG3aFM2aNcOe\nPXssDYhpZSIiItKqIeQSziOWJocVFRXYtm0bysrKEB4ejpycHGzfvh2RkZHYtm0bVq5cCYfDgfT0\ndDz11FPIz89H27ZtLQ2IaWUiIiKi+mNpcti+fXskJydjwoQJ+PLLL1FYWAi3241HH30UvXv3xksv\nvYSEhAS0atUKZWVl2L59O1auXFlbY68XdkrN2WUEzVOP6oW1mhPOYjpVcypawc5CYlvpwaDmOLVU\ncgyAW0gruyPktHJYI/OycVKKGQBiqwLiOakUniqRXHhS7k+qrKcq4Sedi1SkrCNPyb8nd5j5a0Yq\nkQfIaWVV+TxVkjkgPOaqhLPDaf7qUKeV5bKEEkNZrlOhIW81YGNs2t9DUoyhIbxfpfv/rfMy3HE+\njrke2U4rl5eXo3HjxggEAjh8+DDKysrg8/ng9XoxYMAA+P1+DB06FElJSZYGxEAKERERUf2xnVYO\nhUKIiIhA165d8eabb2Lnzp1ISkpCdnY2DMNAMBjEa6+9hsTERAwZMqTG/TOQQkRERDqdl+921iMt\n5fOqqqqwY8cOGIYBl8sFt9uNyspKuN1ufPTRR5YmhwykEBERkVaaixxc6LSUz/vnP/+JtWvX4q67\n7sLYsWPRpUsXDB06FMOHD8ett95qaUAMpBARERHVH0tT6R+Xz9u3bx8WLlyI3bt347bbbkNMTAyK\ni4vRvXt3JCQkwOl0IjY2lhM9IiIiql+GQ/+/C5i28nm5ubkwDAPz5s3Dxo0bUVxcjJycHAwYMKC2\nxn5hUDzBpFyhMolr4zpyIlkzm4lH3Wk/3aly8ToeOUXs8pqnkl0RPrGNO7Lc9LiqHnO4og5xrBAV\nVtVjViWPv/PLSWa5Pykxbb0NAPiEsfsUHQal1LZffp6o0s8B4XFQtZFqKzsVj2lQkWSWqGorq+4R\nYquGkGJW3tsawPjsUI1b8+4NdtTVPVSrC3wyp5vlQEpcXBxefPFF7N69G0VFRUhPT8eUKVOQnJwM\nh8OBtm3bYtiwYdiyZQumTZuGHj16oGfPnjXun2llIiIiovpjeXJ4+PBhTJw4EVu3bkVMTAy6d++O\n5RDfPwMAACAASURBVMuX44knnkC7du0wY8YMzJo1C/Hx8bjqqquwbNkyS5NDppWJiIhIK75zaImW\ntLLf78fx48fx2GOP4eKLL8Y777yD7OxsZGRkICEhwdKAmFYmIiIiqj9a0sp5eXmYPHky9u/fj6ys\nLISHh6N169aYP38+IiMjLQ2IaWUiIiLSifscWmNpcvjjtPL48ePx0UcfYffu3UhNTYXf70cgEEBW\nVhZ69uyJTz/9FMXFxZg1a1Ztjf1Mwi9eWTZI90JmsT+7i3eFn0k1BGHc+iMnml9oqoXydbX4WffN\nQ1E+z+GRSraZl8gDAE+E2/S4O9L8OAB4yuVzjcrMy69VBOTHWxUUkaiCKnYCKf6g/HuKdFkvCegT\nyvG5w6yXyAMAt1B2L1AlP65OtxBIUZXPU/RXZ5SvGWF8it+t7lKZ8oXq8LHTfa2GEAY5Hyda5+OY\n65GlR+uHtHJ4eDj69u2LGTNm4JJLLsHkyZNRUVGBm266Ca+88gp69uyJzMxM3HPPPejQoUNtjZ2I\niIiINLNdPi8sLAwREREoLCzEc889h9zcXBQUFFR/n9/vx4IFC7Bp0yasWLGixv0zrUxERERaqT6d\naiD8fj8yMjLwwQcfwOv14v7778d9991n+r179uxBRkYGvvrqK/ziF79ARkYGrrzySm1jsTQ5DIVC\nSEtLQ8eOHfHuu+/i4MGDePjhh7Fs2TJ07twZHo8Hy5cvBwDk5+fjrrvuQnR0tKUBMa1MREREPzfT\npk3Dnj17sHTpUuTn5+OJJ55Aq1at0Lt37zO+r6KiAmlpaejfvz+mTp2KZcuWYeTIkVi/fj28Xnl/\nXSssTQ7/+c9/IjY2Funp6QgPD0diYiI6d+6Mv//970hISIDP50OTJk0AAI8//jjatm0Lh8V6hkwr\nExERkVYNfM1hRUUFVqxYgVdffRVJSUlISkrCiBEj8Prrr581OVy7di18Ph/Gjh0LAHjyySexceNG\nvPfee9oKj1iaHFZUVGDbtm0oKytDeHg4cnJysH37dkRFRaFTp06YO3cuQqEQNm/ejJycHHTu3Bmt\nWrWyNCCmlYmIiEinhp5W3rt3LwKBADp16lR9rEuXLpg/f/5Z35ubm4suXbqccaxz587Ytm1b/UwO\n27dvj+TkZEyYMAFffvklCgsL4Xa78eijj+KWW27BnDlzqj8DT05OxpYtW/D4449rGehPaggJLont\nJ6X0MylK7knXsluOSefjanfNRwN/UUsMt5wUdgqpZOk4ICeZpXQsAHgi5P78keZp5cY208py8lhu\n9L2NxK2qv0DI/LmiTj8LJfcUZQS9itJ6QRvl804Jn7AoS+4pSiPaUWcl0TTfb5T/6QvntP+smsvd\nae+PGrzCwkJER0fD5frPa75JkyY4efIkjh07hpiYmOrjBQUFuOyyy85o36RJE+Tl5Wkbj+3ayuXl\n5WjcuDECgQAOHTqEyMhILFq0COPGjUNubi4SEhIwa9YsJCUlWRoQAylERESkVS1MqnXOVyoqKuDx\nnPnH/A9f+/3+M45XVlaafu9/f9+5sJ1WDoVCiIiIQNeuXbF8+XKMGzcOx44dw9GjR+FwOBAVFYWI\niAjLA2IghYiIiBo6nfOVsLCwsyZ3P3zt8/lq9L26wiiAxvJ5R44cwahRoxATE4N7770X0dHRePDB\nB/Hee+8hPj6+xtdgIIWIiIh0CtXCVjY65yvx8fEoKSlBMBisDvIWFRXB6/WiUaNGZ33vf79jWVRU\npHV+pK183r59++ByuVBcXIwbb7wRV111FRYtWoQdO3aclbRRYSCFiIiIdFIsVbZN53zliiuugMvl\nwvbt29G5c2cAwBdffIHk5OSzvrdjx4545ZVXzji2detWjBo1SstYAIsVUn5cPm/fvn1YuHAhdu/e\njVtvvRXR0dE4duwYysvLcemll2L9+vU4ceLEWYsmiYiIiOg/vF4v+vfvj/T0dOzcuRPr16/H4sWL\nMXz4cACn3xk8efIkAODmm29GaWkpnnvuOezbt6+6Sl2fPn20jccIhazNpwsLCzFp0iS8//77CIVC\naNu2LdauXQvDMPDII4/gvffeg9PpRCgUQmZmprZY9U85WV5qfiJgnsgEACOoSPtJaTFViixofk6V\njFPWfrYzBvFCqoKmOutI26R6y7+Bp/PccYmmx6uy3xHbVB38h+nxsiP/EtuUfW2+8PlEwfdimxPF\nFeK58qPl5m2K5DbfKxKyUvJYVVv5+Cnzc6oUc6RLVVvZ/FyEU27jc5o/91TX8Tjk56vUn8etqLUt\ntFGllZ2K/gDgptwtZx2rqKyUx6C4V9oi3r9q4S0cq2NQ0F6r+QJMK9vdFiasUazmkdRc2Qn5vmZX\nZLjvp7/JgsrKSkycOBF//etfERUVhREjRmDYsGEAgKSkJEydOrV6TrVz506kp6dj//79uPzyyzFx\n4kTLAWAVy5PDH+zevRtFRUVIT09Hr169MGbMGPzud79DSkoKbrzxRrz//vtYsmQJVqxYgTZt2tS4\nX7vpH04OfwInh7WGk8N/n+PkUNkfJ4c/HOfksM7704yTw9N0Tw4bEstp5cOHD2PixInYunUrYmJi\n0L17d7z55pvw+XwoLS3FJ598ggULFuDyyy/HJZdcgiVLliA9Pb3G/TOtTERERDrV4Z8kFwQtaeWq\nqirs3LkTu3btQmpqKjIzM/HJJ59g5syZlrezYVqZiIiIdFLsaU8mtKWVy8vL4XQ6kZGRAcMw0KZN\nGyxYsAClpcLHvQKmlYmIiIjqj6XJ4Y/TyuPHj8dHH32E3bt3IzU1FaWlpcjNzcWSJUtw0003YcOG\nDSgpKbFcW5lqiXKPJxvlrHSvU1SuQ2oAZb3sEEqinT5nvl7M4ZFfki5vmOlxp0dee2antN4pxbrC\nyFOq0nrmv0N/UH4c5JJ7YhOUKcZgRyBk/tpQjSHSJb+epP58iv5UaxglQdUABUZdrvezowGstbO1\nDlzZYR2V6qvDtYh1VmpRI5vxip8tS8+mH8rnhYeHo2/fvpgxYwYuueQSTJkypXqN4apVq9C/f3+8\n++676NatGyoVC6CJiIiIqGGxHEiJi4vDiy++iLvvvhterxcHDhzAc889hx49euCPf/wj3G43EhMT\n0bt3b7z88suWqqMArK1MREREenHNoTWWJ4cAsHbtWmzbtg2333477rrrLowdOxbZ2dlISUnBP/7x\nD+zfvx+zZs3CoEGDsGvXLkt9M61MREREOnFuaI2lyWFxcTE+++wz/OEPf0CHDh0AAJdeeml1beXN\nmzfD4/GguLgYY8eOxZdffml5zSHTykRERET1x9LkMD8/H2PHjsWwYcNQXn56A92dO3fC5/MhMTER\n48ePxx/+8Ac0bdoUnTt3xqJFi3DbbbdZGhDTykRERKQTP1a2xtLksKysDB6PB/v374fP58OJEycw\nc+ZMXHnllWjcuDE++ugjvPnmm7juuuuwefNm+P1+3H777bU19oZHSKdqD3YpU791kyKzVfWlASQR\nlTSPzxASyQBguN2mx53CcUBOMru85qljAHD55OSxw2P+M7kUCWd3mNyfT7j7Rrrku3IgZD4Gu89i\nO0nmgFCdRB0GVlVcEa6jeH5JVVUClfIg3H7rP2tIsWuB9bx0LWgI9wEiqvnk0O/349lnn8X06dPx\nl7/8BR9++CGcTid++9vf4tChQwgGg5g1axamTZuGadOmoWXLloiPj4fPZ628DAMpREREpBO3srGm\nxpPDl156CcnJyejTpw/69OmDG264AV6vF2lpaXj22Wfx/fffo0ePHmjdujX69euHoUOH4s0337Q8\nIAZSiIiISKfzb2fG+lXjyeG6detQXFyMlJQUBAIBnDx5EoZhoHPnznjggQeQl5eHb7/9FiNHjoTf\n70dRUZGt8AgDKURERET1p8aTw9dffx2nTp1CaWkp0tLS4Pf7ERkZiddeew1ff/015s6di9TU1Op9\nDXNyctC1a1fLA2IghYiIiHTip8rW1Hj1b4sWLZCQkIDXX38dAwcOROPGjeFyuZCQkIDu3bvD4/Gg\nVatWGD58OEKhEHbu3Ik77rijNsdORERERJpZSitv2rQJOTk5ePfdd7Fu3brq4w6HAytXrsSECRPw\nzDPPIBQKYc6cOWjevLn2AVPDYKf+qKqNOmVdRwlGVf1pOylwRVpZOmc45Z/V4TZ/uarqMTvd1usu\nn1KklV0++ZxPiPdK9ZNPn7N23C5Vilmqhay8O8qhbbm2suJ3Kz1G6jZ1uIqqrur52tkxQPPjUKd1\ng8/DGsUAzstUObeyscZSWjkjIwPp6enweDxnfWSckJCApUuXYsuWLRg+fDiuvvpqWwNiWpmIiIh0\nYlrZGstp5WuvvRYA8Nlnn8Hr9Vaf3759O6ZOnYo9e/YgGAzirbfewp133ml5QEwrExEREdUfLWnl\nv/71r0hLS8PgwYMxZMgQjB07FpMnT0azZs3Qo0cPSwNiWpmIiIh0Ok8/wK83WtLKGzZsQFxcHMaM\nGYMtW7bAMAz0798fa9assTw5ZFqZiIiIqP7UeHLYokULAMCECRMwcOBArFu3DoZhICEhATfccAPa\ntWt3VpvS0lJ9I/0p5+vC3oZO4yJwuwu9626liOZF1kI5RQAwXOZl8qTQCQA4heCJQ1Fyz+mVz0nh\nElelIpCiOBcUUiQ+RRjEL6wS9wflcJAYIIGqFJ7cpkJMvyier4o7p3QtVchGKp+nGoPqZ9KurgII\n52HQocGw+3+gncf8PPz/lksOrbH0rPghrfzb3/72jOMtW7ZEhw4dzji2bt266vWJRERERPUlGApp\n/3chs51WPnny5BmBlE8//RQzZ87EgQMHEBYWhsjI/8/efYdHUe3/A3/PbnZT0RACERApgRCK1Iii\nFEWkieBFuEEITaVEil6kegVC0dD0K3ghiEoEbEEgepH8REO1BhOaisAFkRBaigFJ3bB7fn9w3Wsu\new6ZcVLgvl/Pw/PoTM7MZyebycnsvOcTgMjISN0FMa1MREREVHkMpZW3bt2KCxcuoH79+gCA9PR0\nTJw4ERMmTEBycjKOHTuG7Oxs5OTkoE6dOroKYlqZiIiIzHRzX+czn6G0cmFhITRNQ3p6Otq1a4dV\nq1ZhwIABSE5ORkZGBj788EMMGTIEhw4d0j05ZFqZiIiIqPLoTisvWbIENWrUwK5du6BpGtauXYvb\nb78dK1euxJkzZ7B27Vrs27cPDofjmvsQy4JpZSIiIjITO6Tooyut/M033+Do0aPYsmULvvzyS3da\necOGDdi7dy/mzZuHRx55BC6XC9HR0fD39y/P2kuTJq6cFVdDVWAkXaxsG1dBP1GK+oxkMpWt+gzU\nYIRm1d8+T9UKT5ZkthpIOAOAl6RNntUur1s2BgCcDs/Hz+Yt356v5IytSvYaWqc803muW55ilo8B\nVC3v9LeIVCecFZszW0W1z6Prq8qtDKuwmzw/YjrDgZQ/+uyzzyCEwKxZs9zLVq5cieTkZGzZskVX\nQQykEBEREVUew+3z/phWfvPNN91fl5eXhz59+iA0NBROp/6rdgykEBERkZlcjKToYkr7vA8//BC5\nubmIiIjA4sWLkZWVhY4dO+Lw4cO6C2IghYiIiKjymNI+7//9v/+HxMREzJ8/HykpKQgODkZGRgZC\nQ0N1F8RAChEREZmJ9xzqU+a7SmvXro169erhnXfewWOPPYZbb70VXl5eqFevHvr374+srCyMHz8e\n48aNQ3FxMQ4cOIBx48aVZ+1ERERE1+US5v+7mZX5yiHwn/Z5W7ZsQVJSknt5SEgIevbsie3bt2Pe\nvHlwOByIiopCeHi46QVTFaFIqxn5mTG7S6yqj7OhJLMRkkSyap2m6scsScEaSThfLcHz9qw2ed3K\nJLOkV7OzRH7vsY8k4SzruQwAAV6qd4vk+F1RDJEeIvl7yFiSWf69dUnGKPtIV2Rv5apM9fNs4AkE\nqvOD9LxitAZDT5eowFRyZW6LKpXhtHJERIR73fHjx7F7924kJSUhKCgI3bp1Q7NmzQwVxLQyERER\nmYkfK+tjOK381VdfudPKL7zwAkJDQ3HvvfdC0zS4XC7MmDED+fn5GDp0qK6CmFYmIiIiqjx/Oq0c\nHh4OTdOgaRq8vLxgs9lQVFQEm82GnTt36p4cMq1MREREZuKjbPQxJa0MAIMHD8bUqVPRvn17REVF\nYcSIEejbt6/ugphWJiIiIjPxY2V9dLXPA4Dnn38ejz32GJKSktzt8/Ly8pCTk4MOHTqgTp06sFqt\nCAoK4iTvT5LdGK0KW0gZvmFactO7yT9pRkIiho6DYpzpQRVFIEXzskmW2z0uBwCrzfMYZejE7nkM\nAFh9PK/z8pWnN1ThEqfD8zqbouWeSzLG1yX/3qqCGLKWckaCHfI2eICxsIqR13TjtSmrcAxBVDwe\n85uerjPP72nl8ePHl1p+4sQJaJqGuLg4dO3aFZmZmUhLSzO1UCIiIiIjXEKY/u9mZjit/Mf2eSdP\nnoSmaUhNTUVubi6qVauGzZs3o2vXrujevbuugphWJiIiIqo8htLKW7duxYULF1C/fn0AwCOPPILV\nq1ejUaNGiIuLQ0pKCmJiYvDWW2/pnhwyrUxERERmcvKTcF0MpZULCwuhaRrS09PRrl07LFmyBNnZ\n2di4cSP8/PzQoEEDvPfeezhz5ozugphWJiIiIjPd7B8Dm013WnnJkiWoUaMGdu3aBU3TsHbtWkyZ\nMgVeXl7w8/Nzf32rVq1w6dIl3QUxrUxERERUeXSllb/55hscPXoUW7ZswZdffulOK9vtduTm5mLE\niBH417/+BZvNhpycHLz33nvlWfuNQ9ESTUmR2KzSjKR+q0D6zWj6Wbo9I993xRhZmzyron2eVZFk\nlo2z2uQ1qFrrydvnyY+rbIxd0Z7OV3EBwCn5HqqSx/Jdqd4P+pPMqpZ75tfgmaa6emLk/a8acxNe\nqTH0BAkjT4owuSUgAc6b8P1YngwHUkptxMsL3t7eOHLkCAoLC1GtWjU4nU5YrYreshIMpBARERFV\nHsPt8/6YVj5x4gQKCwtRXFwMIQRycnIghEB0dDT27NmjqyAGUoiIiMhMvOdQnz/dPq9du3bo3r07\nMjMz8fLLLwMAMjIy8PjjjxsKjzCQQkRERGZiWlkfU9rnff3111i1ahWCgoKgaRqmTZuGmjVrolWr\nVroLYiCFiIiIqPKU+Y7m2rVro169enjnnXfw2GOP4dZbb4WXlxfq1auHhx9+GC6XCzExMfj444+R\nkpKCnJwcREZGlmftRERERNfFDin6lPnKIfCf9nlbtmxBUlKSe3lAQADWrFmDmJgYbNiwAQEBAYiN\njUV4eLjpBVM5MJSmk/eqraiUoqoXsjI9aCQhaDZJ32VNEeKSpZ9VqWhNkdKVrbMoxlis8u+7bJwq\n/XxFUrtqP3aLqrey53WqpKJsjOpvZ5eBPsmKsDIcLiM/MyZ/TmZ2QraC+rITkfkMp5UjIiJKrQ8N\nDcVLL72Enj17IiEhAY0aNTJUENPKREREZCY+ykYfw2nlr776yp1WBoDU1FRMnjwZQgg899xzmDZt\nGjp27Ki7IKaViYiIyEyGLs7/DzMlrZycnIzo6GhUr14dI0eORGBgIJ5++ml8+umnCAkJ0VUQ08pE\nRERElceUtPK+ffvg5eWFnJwc3H///bj77ruxZs0aHDx4ED169NBVENPKREREZCYnLx3qoqt9HgA8\n//zzeOyxx5CUlORun3fhwgXk5uYCABo3bozk5GQUFBQgLCysfKr+H2c4iGGEbF9VoIWT6a/V7O1J\nQieAIniiHCMJpKgCJIr2eRabzfNyu7wG1Tqrw+l5uWKMrH2eMNg60lnk+ReAqn2eLNihCpDIQidX\nyfal/zUZC6rICUWQTPWKjO3s5vtlbOicU1FjjKoC53KqekxJK0dERKBnz5749NNP0blzZwghEBsb\niwYNGphdLxEREZEuN/ujZ8xmOK38x/Z5+fn5yMzMRO3atZGbm4vAwEDExMSgdevWaNiwoa6CmFYm\nIiIiM6k+CaBrGUorb926FRcuXED9+vUBAMuXL8ehQ4cwcOBAjBw5Ert378aiRYuwatUqLFq0SFdB\nTCsTERERVR5DaeXCwkJomob09HS0a9cOISEh8PPzQ0xMDDRNQ8OGDbF+/Xrs27dPd0FMKxMREZGZ\n+LGyPrrTykuWLEGNGjWwa9cuaJqGtWvXYuzYsfD19YX2h5udrVYrioqKdBfEtDIRERFR5dGVVv7m\nm29w9OhRbNmyBV9++aU7rdyuXTts3LgRa9euRbdu3bB9+3acPn0ad9xxR3nW/udVZLs0I6ShR3m6\nTJVkljE/4VwxbbMMp7YrKoGt+l7IWt4ZSCurEslG2udZFduz2kqk61ySVLK1RH5cLUVXJPuRHweX\n4uYhm0OWPNbf7s5XXsJ10soy+hPTKmYnmU1XUe3zzG77pyA75xg63wDGWnn+Dz2Rwkx8lI0+ZZ5J\n/Hcg5Y9GjBgBi8WC+Ph49O/fH++//z5sNlupK4lERERElcElhOn/bma6AykFBQUIDw+H+PeBadas\nGXr06IEXX3wR8+bNQ2FhIdLT03HrrbcaKohpZSIiIqLKozuQsm3bNlgsFvdVQbvdjhdffBEBAQFY\ns2YNGjVqhGeeeQazZ8/Gvn37cP78edx2221lLohpZSIiIjITH2Wjj+5ASmxsLEJCQpCTkwMAmDp1\nKn788UesWLECZ86cwcaNG2G323Hp0iXUr18fGzduxIQJE8pcENPKRERERJVHd/u88+fPo0ePHkhJ\nSQEA1KtXD3a7Hfv27UPdunWRmZmJt956C5cvX0b//v1x4MABXQUxrUxERERmutnvETSbrvZ5AHDy\n5El88cUX2LVrF4QQCA4OxqRJk9C5c2fs3bsX/fr1Q5s2bRAfH49vv/0WO3bsKI+6r+HtX61C9kNU\nVpbQDtJ1dsU6vQJM2xLd7Hz/3dXKM9U6ohubi2llXXRNDs+ePYuioiJ4e3vj3XffRUZGBl588UUU\nFRUhKCgIPXr0QGxsrPvr9+3bB4fDoasgBlKIiIiIKo+uyWGdOnWwaNEiTJs2DYmJie7E8jvvvIPB\ngwfjt99+AwCcOnUK/fr1w4wZM9z9l8uKgRQiIiIyEwMp+uj+WPns2bPo1q0bFixYACEEfvnlFwwd\nOhTBwcE4ceIEzp07h7Fjx8LhcCA7O1t3gISBFCIiIqLKo2ty+OWXX2LFihUYPnw4goKCAABff/01\nqlevjoiICKxevRoDBgxASEgIACAtLQ0RERG6CmIghYiIiMzEQIo+uiaHbdu2hRACaWlpOHnyJNLT\n07FkyRKMHj0ad911F+x2O+rWrYuhQ4di5syZ+P7777Fw4cLyqr2UrfVaeVzePLK1dExgaF3pOu8g\nzw/x1vxvkY6x+Ph5HuPrLx2jedkV62ySHSlarNkkY4zsR0XV3slACz9l27+KanOo6ugja3cHwFrv\nTo/LHb+elY4RNs/vFWE1+XthgFAcB01xglWNM1NVqMEIVd0yf+b1eAqfjNMaSL9+6D3y82Ht9p7X\n+deVf5LjE+g5JGi7xfN7H5CfQwFA8/b1vFxx/pKuU50PZedQKM7XivODpjhfQ1KfZlWMkW1PtR8D\nNMVrkrpODZbG9xis5s9zcnKoi67vvr+/P6xWKzIyMtC7d29ER0ejXr16GDZsGCwWCzZv3gxfX1/M\nnj0bQgisWLFC1wOwiYiIiKhy6U4rOxwOdOnSBcOHD0dGRgYWLFiAJUuW4Pnnn0e9evWwfv167N27\nFyNGjMA99+j/K4FpZSIiIjITH2Wjj2lp5ZkzZ+LgwYNYuHAhDh8+DJfLhQ8//BCDBg3SVRDTykRE\nRESlLV26FJs2bYLL5cLAgQMxderU647Jy8tDnz59MHnyZDz66KNl3pcpaeWoqCj8/PPPGDNmDIYM\nGYKhQ4di6tSpWLBgAWrVqoWuXbuWeftMKxMREZGZbvRH2axZswZJSUlYuXIlSkpKMGXKFAQHB2PU\nqFHKcYsXL1Z+GitjSlo5MDAQ3333HWrWrIlnn30We/fuhaZp6N+/Pz755BNdk0OmlYmIiMhMN3pa\nef369XjmmWfQtm1bAMCUKVOwbNky5eQwNTUVKSkpCA4O1r0/09LKXbp0QfPmza8Zc/nyZd1FGRE+\n4Np9A8CRjYekY2q3z5Suu+WOGh6X+9TwnGIGAO9Az43MbP6eU3YAYLHLvwUWu+cHiKvSdLIUnibZ\nFnCdtLIkfaZM08kSeEbTdAZSc4b2pRqjqkGSVoZVkYh0XSljUX+SgeNgOB9rIDWtCZfRvXnenqlb\nM5nqtUqO3Z97Pdf+zKsSye9+e0a6rvvPFz0ur90kSDomoI7n86FfDfnTG2y3KNb5eT6HefnKf86s\nPp7Xefl46x4DABab5/O16qkTyiSzTXK+NnBONppWlqaSledDA78XANgrMa18I8vMzMS5c+dKPRqw\nffv2OHv2LLKzsz1O/hwOB2bPno05c+bghRde0L1PXZPD/04rWywWtG3bFsOGDYPNZkOdOnVKfX1S\nUhImTZqkuygiIiIis9zIj7LJysqCpmmlPlUNDg6GEALnz5/3ODlctWoVWrRogXvvvdfQPnWnlYuL\ni1FUVARN0+B0OpGamoqHH34Yn332Gb744gssXboUJ0+ehLe3NwICAhAZGamrIKaViYiIqKozc75S\nXFyMCxcueFxXUFAAALDb/3Ol+ff/djgc13z98ePHsWHDBvzzn/8s07490Z1WHjduHI4dO+YOpOza\ntQvz5s3DqVOnMHHiREyYMAHJyck4duwYsrOzkZOTc80VRRWmlYmIiMhMznJ4lI2Z85WDBw9i+PDh\n0Dw8+H7KlCkArk4E/3tS6Ot77W1rs2bNwqRJk9zZECN0p5XPnDmDJk2auHfapk0bOBwOHD9+HAMG\nDEBycjIyMjLw4YcfYsiQITh06JCuySHTykRERGSm8pgcPm7ifKVDhw44cuSIx3WZmZlYunQpZQUe\nggAAIABJREFUsrOz3fOp3z9q/u99nD17Fvv378fRo0cRGxsLACgqKsKcOXOQlJSE1atXl6ke3Wnl\nrVu3Yu7cue5lhw8fRmBgIB588EGsX78eZ86cwdq1a7Fv3z44HA60auW5rZ0M08pERERU1VXUfKVW\nrVqoXbs20tLS3JPD1NRU1K5d+5r7DUNCQvD555+XWhYVFYURI0agb9++Zd6n7rSyy+VCXFwc4uLi\n4HA4UFBQgOjoaGzYsAF79+7FvHnz8Mgjj8DlciE6Ohr+/vL0mZkCm9TzuLxOh0vSMRnfyNN5xb9d\n+zk+AFSrLU9f+9Tw3EvUrkjgqZJxXgaSdrL0szKBp0gyy5J26rSygQSeiiwZp0oQm520M5CYFhbd\nF+aVKWZp/2lVStjllK8zkm5UJG5vtqSwcozZKmhfsh7JgDyRDADJmfkel7dzyN9f9TJ+87g8oLbn\nFDMA+AXLeyt73+L5vGLzl58PZUlmm5/8CRLKc7Jke7IU8/XWWe2y3sryn2lpYloxRnWulD7ZQdWz\nWnauNLm/s5nK48phRRo8eDCWLl2KkJAQCCHwyiuv4Mknn3Sv//XXX+Hj4wM/Pz/Uq1d6PmS1WhEU\nFKRrIqvrt9elS1cnWiUlJcjLy4PdboemacjKykJKSgqEEJg1a5b761euXInk5GRs2bKlzPtgIIWI\niIjoP5566ink5uZi4sSJsFqtGDRoEEaMGOFeP3DgQAwYMAATJky4Zqyn+xivR3cgZfHixZg2bRo0\nTUNhYSGAq+3zfvzxR3cBv7drCQ0NhdOpuHLhAQMpREREZKYb/cqhxWLB9OnTMX36dI/rd+zYIR27\nfft23fszrX1eWloaACAiIsLdrqVjx444fPiwru0zkEJERERmutEnhxXNtPZ5+/fvx+bNmzF//nx3\nu5aMjAyEhobqKoiBFCIiIqLKo+su+/9un7d79253+7x+/fohKysL48ePx7hx41BcXIwDBw5g3Lhx\n5VU7ERER0XU5XcL0fzczU9rnDR8+HF5eXujZsye2b9+OefPmweFwICoqCuHh4eVVeym+NT0/7PGW\nO+QNp4Nzi6Trfv3Xrx6XXymUp0n98z0nnH2qF0jH2KvJ03mynsyq9JvN33PyWJ3A81y3al/KNJ0k\n5SaMpN8AaQJOKJJxRpLMhrcnHaT/JmBpIhnyPsTKU5QqyWx2Qla2PQM9l01npAaz667I9LOEf135\nbTmqPsmyVPK+i/JzaN4Vz6/3DsU59FbF9vxqeD5X2gLk5xW7v+d1dn/P6WtAnX420qtZ9gQJ1fYs\nJqeVrTbVuVf2RApza6Abi+72eQ6HA126dMHw4cORkZGBBQsWYPHixYiMjMTu3buRlJSEoKAgdOvW\nDc2aNdNdENPKREREZKab/Uqf2XSnlRctWoRp06YhMTER4t+NrNevX49Dhw4hNDQU9957LzRNg8vl\nwowZM5Cfn4+hQ4eWeR9MKxMREZGZODnUx5S08tChQ3Hw4EFomgYvLy/YbDYUFRXBZrNh586duiaH\nTCsTERERVR5T0srVq1fHhg0bMHjwYEydOhXt27c31K4FYFqZiIiIzMUrh/robp/3x7Ryenq6O61c\nvXp15OTkoEOHDqhTp46hdi1/huZ/i8flPjU8LweAaoo2TrLgyW+SllAA4HJ6vgFbFWLxqV4iXWfz\n93xztqyFEwA4izyHS1SBFFmIBVC041Pc4CwbowrSGAm4qFo1CVW7KCOtn4y0/jMSBjEwRtlyT9nC\nr6JuHq/8IEaVIBS/nGThJSNjFHwCPbf4BICAOvLzoawVnix0AgDH8jyfixyKX9J1JedQAAjK83yu\n9L5FHgaRtdzzvlU+xuZTrNie53FWH3mQxqoMpEi2Z+BcqTrHq8MqBkKHkjEWVbCQbiimpJWHDRuG\nw4cPQ9M0xMXFYc+ePcjJyUFaWhoeffTR8qqdiIiI6Lp45VAf3Wnl4uJiFBUVQdM0OJ1OpKam4uGH\nH8bTTz8NTdOQmpqK3NxcVKtWDZs3b0bXrl3RvXv3Mu+DaWUiIiIy0xVODnXRnVYeN24cjh075g6k\n7Nq1C/PmzUPfvn2xevVqNGrUCHFxcUhJSUFMTAzeeustXZNDppWJiIiIKo/utPKZM2fQpEkTdyCl\nTZs2cDgc2Lp1K7Kzs7Fx40b4+fmhQYMGeO+993DmzBld22damYiIiMzEj5X10Z1W3rp1K+bOnete\ndvjwYQQGBuK9996Dl5cX/Pz+8xT7Vq1a4dKlS7oKYlqZiIiIqPLoTiu7XC7ExcUhLi4ODocDBQUF\niI6Oxp49e5Cbm4sRI0bgX//6F2w2G3JycvDee++VV+2laHbPiVtVOs+nhnydrBWeLJEMAHnn8jwu\nd5bIx6jWed/iOYVq95cnnK8Ueq5blUh2lcjTrrIEnCqBJ02yKRJ4qpSbLP2samlnqPWTMv1c+Sk8\nWWs9VWZV1nLv6gYl7fhMbxunWFcVWutVBapUsoljbLfI23X61fCXrguQPNlB1QpPlkr+pUB+/lIl\nmQudntcFSVr7AfLzeEm+vAZV+rmkyPPrtfnIz21evop1kpSz6lwpO/cqz692+dMWzEwrV+X2ebxy\nqI+uyeHvVwFLSkqQl5cHu90Oi8WCzMxMeHl5wdvbG0eOHEFhYSGqVasGp9MJq85oOwMpREREZCan\nkT/A/ofpDqQsXrwY06ZNg6ZpKCwsBAC88847CA4ORmFhIYqLiyGEQE5ODoQQ7quKZcVAChEREVHl\nMa19XseOHZGZmYmXX34ZAJCRkYHHH39cd4CEgRQiIiIyEz9W1se09nkRERFYuXIlgoKCoGkapk2b\nhpo1a6JVq1a6CmIghYiIiKjymNY+r0+fPvjHP/6BmJgYtGvXDikpKQCuXgkkIiIiqiy8cqiPae3z\nbDYb4uPjERMTgw0bNiAgIACxsbEIDw8vr9pLsfh6Ttp5KVK69lvk6Tyf6gUel6v6JMuSx4XZnrcF\nAEKRfnZKUniqGmwBntPFwiXfjzqtrL/3pyzhrOzvaSD9rO4XKk/nycaptqdKRhsiS+kKefLSEFVa\nWUJ/x97rlFBBPaaV44yMuQlZfORpZZvifOgX7HncrRflPYVlfZJVieSzkjQwIO/QrdrerZIaqjvk\n7wdZIhkAvIs8nw+Np5UlvevtqnOl55CnbFuAsd7KsqdEAIBFcn5V/V6obJwc6qO7fZ7D4UCXLl0w\nfPhwZGRkYMGCBViyZAmef/55hIaG4qWXXkLPnj2RkJCARo0a6S6IaWUiIiKiyqM7rbxo0SJMmzYN\niYmJEP+Ohr/zzjuYOXMm0tLSMHnyZAgh8Nxzz2HatGno2LGjroKYViYiIiIzORWfntG1TEkrR0VF\n4ZdffkF0dDSqV6+OkSNHIjAwEE8//TQ+/fRThISElHn7TCsTERERVR5T0sqBgYE4ceIEvLy8kJOT\ng/vvvx9333031qxZg4MHD6JHjx5l3gfTykRERGQm3nOoj2lp5cDAQOTm5gIAGjdujOTkZBQUFCAs\nLKxcCr+Gl+QGWW95KyR7NfnN2d6StntXCuVtl2SBFFXopCC7ULpOSNpFyZYDgEvyA6Cqwe4vD0FY\nHZ5vzlYFSKySgIvqZmVnkf5WTaobpl02+U3lRgIpqoCLqTRVHMRzfcrudH+qmCrKSIDkfyh0oqJ5\n+0rX2fzk4T3vWzyHzPxqyM+hQXmez5WyNniAPHQCAOclQRFV5wuHy3N4w0iIBQBcspCgv+fjAwBe\nRfLzlCzIYlEEUmRjZAFGQH1us/l4HmdRBRUl51cn2+fdNExJKw8fPhxeXl7o2bMnPv30U3Tu3BlC\nCMTGxqJBgwblVDoRERERmU13Wrm4uBhFRUXQNA1OpxOpqano06cPEhMTkZmZidq1ayM3NxeBgYGI\niYlB69at0bBhwzLvg2llIiIiMtMVXjnURXdaedy4cTh27Jg7kLJr1y7MnTsXr732Gg4dOoSBAwdi\n5MiR2L17NxYtWoRVq1Zh0aJFZd4H08pERERElUd3WvnMmTNo0qSJO5DSpk0bOBwO7N69G35+foiJ\niYGmaWjYsCHWr1+Pffv26do+08pERERkJt5zqI/utPLWrVsxd+5c97LDhw+jevXq0DQNPj4+0P5w\nQ73VakVRkfwJ+p4wrUxERERm4uRQH91pZZfLhbi4OMTFxcHhcKCgoADR0dE4deoUNm7ciLVr16Jb\nt27Yvn07Tp8+jTvuuKO8ai9Fk6SVZSlmQN7mDQC8JOts/vL0s/ctkgSXIkWmSh4X5nqeWLsUY5wl\nnvel2o9qnZdke1ab5xQgYCzhLEskA4DF7vl7aFEknJ0mt+NzWh3SdVWZsnWdhKZqNWegDZ1qe0bq\nM8RAG0Elo+39KqoG2RDF+dDLV34+lJ33bAHy7Xnf4nlMkOJ8qEoRy1LJWcXy7clObYpT3nXWeV7p\nq6jB7ic/RlckyWNVyz2XpPWfqu2frOXe1e1J0sqKMVab5yS6pQqnlUkfXZPDS5cuAQBKSkqQl5cH\nu90OTdOQlZWFESNGYNOmTYiPj8eyZctQs2ZN2Gy2UlcSy4KBFCIiIjITrxzqozuQ8vuDsLdu3Qqb\nzYYOHTpgw4YNmDlzJqZMmYKXX34ZTqcTV65cQbdu3ZCRkaGrIAZSiIiIiCqP7kDK8uXLsXfvXqxZ\nswZ5eXmYNGkSioqKcPHiRXz88cfo27cvIiMjkZaWhmXLlqFTp066ts9AChEREZmJVw710TU53LZt\nGxISEhAfH4+WLVsCADp16oTk5GR8/PHHOH78OD788EN4e3ujXbt2iIuL010QAylERERkJk4O9dE1\nOXQ6nbBYLNi8eTNq166N9PR0pKam4tlnn0VOTg6EEEhMTMR9992Ht956CxaLBQ7HjXkjPxEREdH/\nIl2Tw6ysLISGhuLIkSPu9nkdOnTAqFGj8OKLLyIiIgLr1q3DokWL0KZNG4wcORKfffZZedVeimbx\nnKzSbPIEnlWSggXkSWabv7z/qLPIc4LLKUmXAeqksIwsxayiWYx12ZUlo612eTrPS9Kb1KXo1alK\nK8t6NSsTzi75MbdI0tTKXs0WpvCuy0hKV5a4rajEr1FVoT4DNajSysqnN0iSzHZ/VVrZ8xj/fPkF\nA1VfY1mfZNUp9FdFMlpG1atZtq8AL/mYgHz5OrukPtlTJwCj6WLFkxgk21MlnGVPq7AqekJXNsEr\nh7romhwWFBTg/PnzCAsLQ0JCArKysjB79my8/fbbKCwsxO23347169e7v37Tpk26rxwyrUxERERU\neXRNDq1WK/Lz81GvXj2MHj0adrsdTZs2xQcffIBOnTrh4sWLAIBTp06hX79+mDFjBnx85FfaPGFa\nmYiIiMzk4pVDXXRNDmvVqgVN03Dw4EF3Wnn8+PEoLi5GSEgI/vWvf+HcuXMYO3YsHA4HsrOzdaeL\nmVYmIiIiMwnF7QJ0LV2Tw0aNGsHpdGLChAnutHJERAT27duH1q1bY8WKFRgwYABCQkIAAGlpaYiI\niNBVENPKRERERJVH1+QwOzsbNpsN7777Lho3boysrCx8//33ePbZZ3HXXXfBbrejbt26GDp0KGbO\nnInvv/8eCxcuLK/aS5PcaK3Z5R9rq27AlgVPnEXyeyhl61yKm6yFYp2Mqn1eieRmb4vVaCDFc302\np/ytIwvZqG4Itqra+0nCJZokWALIQyyAPMiiDLFUVCBF2RJNVp+5rdxULe0MvYsUNcha61VYW73/\nNV6qlqHy1qA2P1+Py+3++dIx3rd63l5JvufgHgBUV4T3ZK31DGT6lEEVI4EUp1AEPhT1+Upek+8V\n+XGQBVKULfcU7U5l52VZmz4AcEoCidYS+X4qGwMp+ug6A58+fRpNmjSBpml49NFHMWbMGISFhWHI\nkCHuR9z4+vpi9uzZEEJgxYoVuO2228qrdiIiIiIyme608unTp+Hj4wM/Pz9YrVbs378fa9euxciR\nI5GTk4OSkhJ3P+XTp0/jnnvu0VUQ08pERERkJgZS9NGdVs7Ly0NgYCBWrVqFvLw8REdH44033kDf\nvn0xZswYDBkyBEOHDsXUqVOxYMEC1KpVC127di3zPphWJiIiIjNVhUeT3kh0TQ4DAgIghMDChQvd\ngZTevXvjo48+QnJyMmrWrIlnn30We/fuhaZp6N+/Pz755BNdk0OmlYmIiIgqj67J4e8fF/9xgtak\nSRM0bNgQXbp0QfPmza8Zc/nyZV0FMa1MREREZuKjbPTRNTl0OByoVq0axowZg5KSEhQXFyM/Px9T\npkxBnTp1UKdOnVJfn5SUhEmTJplasIxmlaSkJG31gOu0X5OsUyWcZeu8FMlZryL5OmeJ5+vg9hJ5\nyypZslfVck+VfpbVoEqyyVJzsjZNgLpVk2x7qpaARlr1GUk4V3mq1G8V/pxFlmIGjCWZVdsz4kZN\nU2s2Y+3z5O1EFQlnn2KPy71vkY8pUZwPZa31VGlgWfJYlUi+JDnnqRhJOAOAw+X5HKZMOEv2ZVcM\nstoVyWNJqz4vH1VLU8/na9XvBbqx6A6kCCFw+fJlFBQUwPbvE82VK6V/oEtKSuByuVCrVi1ERkbq\nKoiBFCIiIjITAyn66A6kFBQUoHv37ti5cyfsdjtatmyJDz74ACNHjsQXX3yBxYsX4/jx47BarXjy\nySfh7S3/K9ETBlKIiIjITHzOoT6mtc9LT0/HhAkTEBwcjMDAQAwcOBAxMTHo2LHjNR83qzCQQkRE\nRFR5TGufd/78eVSvXh0OhwPvv/8+GjRogA0bNuDQoUO6JocMpBAREZGZeOVQH9Pa5/3yyy/IzMxE\nXFwcfHx8EB8fj+LiYjRs2LC8aiciIiIik+maHP53+zxN03D33XdjyJAhGD16NIQQGDduHFz/Tsxq\nmoYXX3wR69atK5fiS5GkkjVJz+Wr6xTpPLvncV7Kfsye+4+qkrNePvI+o7IexapezarksYysHzMg\nTz+rekLL6lP2/lT8VSd7TVa7PDFqpI+z7LUC6j7OiiLk62RpV9UYWSKyCqeOy4PZyeOKqsHslLWh\n7SnOeapEvpev53GqhLMslaxKJHsXye9Rl/UUNtYLWTpESZZkNro9WU9mIwnnAMUYu6JXs9XhuQbV\n7xKrJJXs5Vt1r865+CgbXQy1zwsLC0NCQgKysrIwa9YsrF27Fm+++SYAIC8vDxkZGdi/fz9iY2Mx\nbNgwXQUxrUxERERm4sfK+uhOK+fn56NevXoYPXo07HY7wsPD3Wll4GoXldtvvx1jxoxB+/btsX79\nejz00ENl3gfTykRERESVx7S08okTJ5Cbm4uIiAgsXrwYWVlZ6NixIw4fPqyrIKaViYiIyEy8cqiP\naWnl7du3IzExEfPnz0dKSgqCg4ORkZGB0NBQXQUxrUxERERUeUxLK3fv3h2rV6/G+PHjMWPGDMTG\nxuLAgQPYtGlTedVemqxNnqJ9npFWUpYizy2hAFXLPflN1l6+8jCIrHWdTdHWyOz2RY48eWBGRhak\nUf3lJhuj3J5TEUhRbE8acFGEbCzWG7RdmoFAgzJsYXYYpAqESwypAi38DG3PIq/bSFjFS3Fus/p4\nbtmpOn+p1l3x91yfb7G8LWeAl6x9nvw4GAm45CkCHyqyUeqWgLKWe/JBvorzl11yXvZRnUPtno+5\nKtRX2dghRR9T0spDhw4FAPTs2RPbt2/HvHnz4HA4EBUVhfDw8HIpnIiIiKgsBNPKuhhKK/v4+MDP\nzw9WqxX79+/H22+/jc6dO2Pr1q0oLCyExWKBy+XC2rVrcccdd7gnj2XBtDIRERFR5dGdVs7Ly0Ng\nYCBWrVqFvLw8REdHY/Xq1di2bRvq1KmDAQMG4C9/+Qsee+wxPPXUUxg4cKCugphWJiIiIjPdqHew\nVBZdk8OAgAAIIbBw4UJ3IKV3797YtGkTcnNzIYTAa6+9hhUrVqCoqAhLlizBnj17sHr16jLvg2ll\nIiIiosqja3KoaVdvhP3jBK1JkyZo3LgxXnnlFfTr1w9vvfUWQkJCEBUVhREjRqBv3766CmJamYiI\niMzEQIo+uiaHDocD1apVw5gxY1BSUoLi4mLk5+djypQpKCoqgsViwccff4w9e/YgJycHJ0+erLCJ\nniZJ4akSycoksyTdZVVsT9ZiylkkTySr2vHJ2kWpWtfJEs4qqu3JqFLMRlooqVo12aRtBOUJPNWJ\nQNo+T7E9q13+XpEykGhVj5F9nxSpbf0VKNuyec5JXm+DBtoIGt1eRTFSg9mv1UhiWnHOUyWZZWll\ni13+K8QqWadqo6lcV+R5nd1Pfk4OyJellaVDDLfCkzGSZFYnpmUt91QJbHkNdouB9LNknZH2rRWF\nzznUR3cgRQiBy5cvo6CgALZ/T5SuXLmCkydPwmKxIDQ0FMOGDcOwYcOwadMmdO3aFd27dy/zPhhI\nISIiIqo8ugMpBQUF6N69O3bu3Am73Y6WLVvigw8+wKefformzZtjyZIlePXVVxESEoI777wT77//\nvq7JIQMpREREZCZeOdTHtPZ5TqcTzz33HOrXr4+PPvoIKSkpiImJQb169XQVxEAKERERUeUxrX3e\nlClT8PPPPyMhIQF+fn5o0KABXn/9dQQEBOgqiIEUIiIiMpOLD8HWxbT2efv374fT6URCQgK6d++O\nL774Ajk5OXj11VfLq3YiIiKi6+LHyvqY0j5vyJAh+Prrr9GtWze88cYbWLhwIex2O0aOHIlWrVqV\nV+2lGemt7CVPuVkk61TpPCOJPtkYALD6eK7BWiLvJeql6E1qJlUq7UrhFd3bkyWI1WOM9VY2u1cz\n3QDMTjhXhZS1ke0pznmaTf7kBKtdci5SPG1B1lPeS9Jz+eo6/X2XryjG2CVPfPBVTBQcLnkmX5YI\nNvqdlSWZZf2TVYz0YwbUfZfl2/Nct6xPM914DLXPCwsLQ0JCArKysjB79my8/fbbKCgowA8//IA+\nffpg8ODB+Pbbb7F06VL06tULLVq0KPM+mFYmIiIiM/HKoT6608r5+fmoV68eRo8eDbvdjqZNm+KD\nDz5AYWEhfvvtN2zYsAEJCQkArja6jo6Oxp49e8q8D6aViYiIiEpbunQpNm3aBJfLhYEDB2Lq1KnS\nr01NTcVLL72EkydPokGDBpg2bRo6duxY5n2Zllbu06cPMjMz8fLLLwMAMjIy8Pjjj+tOFzOtTERE\nRGa60TukrFmzBklJSVi5ciVKSkowZcoUBAcHY9SoUdd87a+//oro6Gg8/fTTeOihh7B161Y8/fTT\n+PTTTxESElKm/ZmWVo6IiMDKlSsRFBQETdMwbdo01KxZU/c9h0wrExERkZnEDZ5WXr9+PZ555hm0\nbdsWADBlyhQsW7bM4+Rw37598PLycq8bO3Ys1qxZg4MHD6JHjx5l2p9paeU+ffpgxYoViImJQbt2\n7ZCSkgLg6pXACiG5QVzdLkr/OlWARNZyTzXGIrnRGwCsJZ6DHaqbto20L3Ip2ud5OT3vy0hAQxVU\nMbI9ZYBE8VeifF+K43qD/9VZIYwEJKpCKzwjbtT2eVZjAT3puU0RZrDKAnqqEJ5d0cJPsk7Vcs8p\nCe/5KlraGWmtpx6jaoXnOShSqDwfSkIsyg6f+lvrqUMsspZ7hhps0nVkZmbi3LlziIiIcC9r3749\nzp49i+zsbAQHB5f6+sDAQFy8eBGff/45HnroISQnJ6OgoABhYWFl3qdpaWVN07BmzRrExMRgw4YN\nCAgIQGxsLMLDw/XsgoiIiMhUN3IgJSsrC5qmlfpUNTg4GEIInD9//prJYUREBIYMGYJJkybBYrHA\n5XIhNjYWDRo0KPM+DaWVfXx84OfnB6vViv3792Pt2rUYOXIkcnNzkZubC5fLhZo1a8Lf31/P5gEw\nrUxERERVn5nzleLiYly4cMHjuoKCAgCA3f6fR0f9/t8Oh+Oar8/Pz8fp06cxadIk3H///fjss88w\nf/58tG7dGg0bNixTPbrTynl5eQgMDMSqVauQl5eH6OhovPHGG+jXrx+io6PRvn17WCwWPPzww7pv\ngASYViYiIiJzlcetQWbOVw4ePIjhw4dD0679aH7KlCkArk4E/3tS6Ovre83Xv/nmmwCA6OhoAECz\nZs1w8OBBrFu3DnPmzClTPbomhwEBARBCYOHChe5ASu/evfHRRx+5b4AsKipC7969Dd0ACTCtTERE\nROYSLnnzCKPMnK906NABR44c8bguMzMTS5cuRXZ2NurUqQPgPx81e9rHjz/+eM0tfc2aNcPx48fL\nXI+uyeHvM9o/FtOkSRM0bNjQfQPk/v37ER0dbegGSIBpZSIiIqr6Kmq+UqtWLdSuXRtpaWnuyWFq\naipq1659zf2Gv3/9f08Ef/75Z9x+++1l3qeuyaHD4UC1atUwZswYlJSUoLi4GPn5+Zg6dSoiIiLQ\nr18/fPTRRxg1ahSEELpvgPxTZMk9iyLRp0wrS9LPynSepMWUon2eLNEHAC4jaT+b57+OVMlemySR\nrGL2zb1GWu4Jl4H0p0GypKTpVOnUqv4oBtnPoMmJ2wpLOFf1uo1sz+DTG6StQQ08vUF5PrTLa5C1\nz3M55MfBJWmfJ1sOAL6KnzNZaz1VSlfWck9N/prkSWZj7y957Uba6hkqoUKUx5XDijR48GAsXboU\nISEhEELglVdewZNPPule/+uvv7rzIIMGDcLQoUOxdu1adOvWDdu3b8eXX36Jjz76qMz70x1IEULg\n8uXLKCgogO3fk6GSkhLk5+fj1KlT0DQNCQkJ2LFjh+4bIImIiIiotKeeegq5ubmYOHEirFYrBg0a\nhBEjRrjXDxw4EAMGDMCECRPQunVrvPbaa1i2bBmWLVuGhg0b4o033kBoaGiZ96c7kFJQUIDu3btj\n586dsNvtaNmyJd5//31cunQJmqahTZs2GD58OJo2bYpGjRrpugESYFqZiIiIzHWjXzm0WCyYPn06\npk+f7nH9jh07Sv3/Aw88gAceeMDw/kxrn3fgwAH88MMPGDBgAGJjY7F7924sXbpU9+OKGwM5AAAg\nAElEQVRsmFYmIiIiMwnnjT05rGimtc/Lz8+H1WpFTEwMNE1Dw4YNsXr1aly+fFlXQUwrExEREVUe\n09rnffvttzh06BDWrVvnvgHy4sWLqFu3rq6CmFYmIiIiM93oHytXNNPa5+Xm5uLEiRNITEx03wB5\n11134ddffy2v2ksRBnorK3uJ2uwel1uulEjHWCQpPGVvZQN9l2U9lwFAuDwn1oymi2UPDjXSC9ko\nI0lmzXKD9uxVpmAlr6mqp5jNZiQprCJL/Zq9n6rAYFpZljxWPr3BR3IOVZzzVH3jnZKEcUmR/Pxg\nkaSfVf2Y7YpzW4C0t7Kqf7Kqr7FkubJPsuf3q5F+zFfJ6tM/piqnlUkfQ+3zwsLCkJCQgKysLMya\nNQtr165Fz549ERcXh5iYGAwYMABff/01Jk2apKs7CsBAChEREZmLVw710TU5PHLkCC5fvox9+/Yh\nMjISmqa5GzofPXoUkydPxpw5c/DCCy/A29sb3bp1Q0ZGhq6CGEghIiIiM3FyqI+uyWHnzp2xa9cu\nd2S6pKQEgwYNcn90/PHHH6Nv376IjIxEWloali1bhk6dOukqiIEUIiIiosqja3LYvn17OBwO5OXl\noX79+nj99ddRUlKC+vXrY82aNTh+/Dg+/PBDeHt7o127doiLi9NdEAMpREREZCZeOdRH1x3XDRs2\nRNeuXTFjxgykpqZi1apVuHLlCoYOHYrc3FwIIZCYmIjTp09j7ty5sFgscDgc5VU7EREREZlMd1Pd\npUuXYsGCBRg1ahScTicmTpyIoUOHYsGCBYiIiMC6deuwaNEitGnTBiNHjsRnn31WHnWXP1lyT5Xo\nM9CPWZZwBgBriaSXqKqfqcNzcs9qk9ftUkTMZONUaWXZOuV+DMTcjKSYAXlPZtVrUtVuKrP776oS\ntwb2JXsqAABoFdXzmCqc7Nwm6ycPyM97sqcwqMao1qn6MVttnse4FOdDq13+PrZf8bzOV1G3U/Fz\nYWZfY2P9mFXj5DW4JGNUPaYrG68c6qN7chgQEICFCxfiu+++w5gxYxAZGQkAKCwsxO23347169e7\nv3bTpk26rxwyrUxERERmcnFyqIuuyWFiYiJmzpwJABBCYM6cOZgzZw4sFgsGDx6MS5cuAQBOnTqF\nfv36YcaMGfDx8dFVENPKRERERJVH1+Tw4YcfRpcuXRAfH48DBw5g6dKlGDFiBLp164bAwEAcP34c\n586dw9ixY+FwOJCdna07Xcy0MhEREZmJHyvro2tyaLfbUaNGDRw/fhx33303Pv74YwDA5MmTkZaW\nhri4OAwYMMD94Ou0tDREREToKohpZSIiIqLKo/ueQwA4duwYunfvjkWLFuGll16CzWZDhw4dYLfb\nUbduXQwdOhQzZ87E999/j4ULF5pdsz5G20VJbsAWkuWAosWUYozFwA3Yqhu6Za31ZG31AMDqlK8T\nTll4Q3GzsmSdVTHGyFtRFSCRtdq6oRlpk2dySOSmDJ0YaZNXUcdBtR+T2/upzlOyNqTK9nmS4Jxs\n+fXW2Xw8/0y7FD/rsvOAqp2os0S+PavD8+u1K7Znt8hDGrIgi/khFiNhlYoK0lQMXjnUx9B38tdf\nf0VqaipCQkLw0EMPXd2QxYJNmzbB19cXs2fPhhACK1aswG233WZqwURERER6CKfT9H83M0OBFE3T\nkJiYCE3TEB4eDovFgsOHDyMnJwclJSXQtKt/VZw+fRr33HOProKYViYiIiKqPIYCKYcPH0Z0dDQ+\n+ugjjB8/Ht26dUN2djbGjBmDIUOGYOjQoZg6dSoWLFiAWrVqoWvXrmXeB9PKREREZCZ+rKyPoUDK\n999/j7vuugvbt28HcDWQsmnTJtSsWRPPPvss9u7dC03T0L9/f3zyySe6JodMKxMRERFVHkOBlEOH\nDqF58+Z488033YGULl26oHnz5td87eXLl3Vtm2llIiIiMhOvHOpjOK3s6+tbKpBSp04d1KlTp9TX\nJSUlYdKkSX++ynKiWeVpZSFN5ykSzrJ0sWKMRZHOk62zSFrkqcaoE8mKdZIUnrLVnIExKtLEtKQN\n3vXclElmMl9VT2YbqE+VSFY+2cHL8xMSjLS7M9pO1CJ5EoNF1T5Pss7lkB87Lx95DbI2mj6qJycY\neMqAug2d7Pip3g/6k8yqlnvyVVX3Z4aTQ30MTQ5//fVX7N27VzrxKykpgcvlQq1atdzt9cqKgRQi\nIiKiymO4fV5hYWGp9nmHDx/GF198gcWLF+P48eOwWq148skn4e3trasgBlKIiIjITKpn/dK1TGuf\nl56ejgkTJiA4OBiBgYEYOHAgYmJi0LFjx2s+blZhIIWIiIio8pjWPm/fvn2oXr06HA4H3n//fTRo\n0AAbNmzAoUOHdE0OGUghIiIiM/GeQ30M3dF/7Ngx1K5dG2+++SamTJkCm82GU6dOITMzEwsWLICP\njw/i4+NRXFyMhg0bml0zERERUZkJl9P0fzczw4GU/26f99lnn0EIgXHjxsH178/2NU3Diy++iHXr\n1plXsYysz6gynWcguWegH7MqgaeVlEjXWSXjXCWKRJ/kvgrV/RYWRVrZKomlyVJ7qjGG08qKvqVy\n8kS3TJVPMWuSBKMqDanqv2sg7SoU25P2XTbQA9jQflSMHAejvYurespZRnVukzxxwdDTFpRjFH3j\nbZ5/pq02xTnU5rlup13RP7lEkX6WpJxdiu35Kn4+ZT2Ufa2qtLKMot+9gT7JqtO1w9A5mW4khiaH\nBw4cwIMPPogxY8a4l7355psAgLy8PGRkZGD//v2IjY3FsGHDdG2baWUiIiIyk+smv9JnNsNpZSHE\nNWllAAgICMDtt9+OMWPGoH379li/fr376mJZMK1MREREVHlMSysfP34cFy9eREREBBYvXoysrCx0\n7NjRPWksK6aViYiIyEzCySuHepiWVo6Pj0diYiLmz5+PlJQUBAcHIyMjA6GhoboKYlqZiIiIzHSz\nB0jMZrh9Xvfu3bFo0SJ3b+X+/ftj9erVGD9+PGbMmIHY2FgcOHAAmzZtMrtmzyQ366va3RkJl8ja\n6l0dI2m5pwi+GFmnGmORrHMpxsiCL4A8yKJuxyc5dpLl12MkyGI0/CJjdlhFFrhQ3oZuJOhwo4Yj\nqrob9bgaCJ2oxilb4Um2pxpjVYRVnNL2pKpzm+d1qtCJsrWeryRspwj8qcJ7dkmwQ9U+T7Y51SnP\n/HZ8njGocvMw9NvaU1o5JCQEPXv2hKZpmDdvHvLz8xEVFYXw8HBTCyYiIiLSg4+y0ce0tPLx48ex\ne/duJCUlISgoCN26dUOzZs10b5tpZSIiIqLKY2hyeOjQIVy4cAF9+vRxL5s1axYmTZqEoKCgP1UQ\n08pERERkppv9Sp/ZDE0Ov/zyS9x1112oVq0aAODs2bPYv38/jh49itjYWABAUVER5syZg6SkJKxe\nvbrM22ZamYiIiMzEyaFOwoCxY8eK5cuXu///ypUrIj09vdS/Ll26iLfeektcuHDByC6u68KFC2L5\n8uXXbF+23Oi6qrA91nDzvibWcPO+pqpQw834mqpCDTfja6rIGqjqMzQ5fOCBB8TWrVuv+zWJiYmG\niiqLH374QYSFhYkffvihTMuNrqsK22MNN+9rYg0372uqCjXcjK+pKtRwM76miqyBqj7DaeVbb71V\n+TWarA8sEREREVVZhtPK17N9+3YjmyYiIiKiSmTsqcREREREdFPi5JCIiIiI3Dg5JCIiIiI3Tg6J\niIiIyM0aExMTU9lFGOXv748OHTrA39+/TMuNrqsK22MNN+9rYg0372uqCjXcjK+pKtRwM76miqyB\nqjZNCCEquwgiIiIiqhr4sTIRERERuXFySERERERunBwSERERkRsnh0RERETkxskhEREREblxckhE\nREREbpwcEhEREZEbJ4dERERE5MbJIRERERG5cXJIRERERG431OQwNzcXFy5cwG+//Wbqdq9cuYKL\nFy/qHieEQG5urqm1/M7pdOLixYvIyspCYWFhueyDiIiI6L95VXYB1/PZZ5/hnXfewaFDh1BcXOxe\n7uPjg5YtW2LEiBHo3r17qTEOhwPLli3DJ598gsuXL+Pee+/F3/72N4SGhmLr1q1IS0tDs2bNMGvW\nLERFRWHDhg0oKSlBUFAQoqOjERUV5d5Wu3bt0L59e/zf//0fAgICAAAlJSVYsmQJNmzYgKKiItjt\ndjz77LMYNWoU1q5diw8++AAnT55EYGAgxo8fj+HDh5eqLzk5Gd9++y2aN2+OAQMG4JNPPkFcXBzO\nnj2LwMBAWK1WnD9/Hk6n0z2mevXq6NChA0aPHo0WLVqUx6EmIiIigiaEEJVdhEx8fDz+8Y9/4Kmn\nnkL79u1Ro0YN2O12OBwOZGdnIzU1FfHx8XjmmWcwbNgw97iFCxdi586dmDRpEoQQeOedd3DkyBH0\n6tULycnJ6NixI/bu3YuLFy+idu3auOOOO3DLLbcgNzcXP/zwA0JDQ9G0aVMAwJYtW1BSUoI+ffrA\nx8cHsbGxePnll7FlyxbceeedSElJQadOnZCamopGjRrh6NGjGDduHGJjYxEYGIhLly6hT58+ePnl\nlwEAa9euxauvvorOnTtj37596NKlC7Zt24bRo0cjNzcXH3zwATRNw6OPPopmzZrh7bffxuDBg9Gg\nQQPs2rULiYmJWLZsGbp27Vop35Oq4Pz589i4cSMOHDiACxcuwOFwwMfHBzVr1kSbNm0wcOBA3Hbb\nbaXG7N69u9QfC5GRkfD29sbZs2dx6NAhNGzYEC+++CKGDRuG9evXIzc3F6GhoRg3bhzCw8NLbevh\nhx/GqlWrUK9ePfey5ORkvP/++zh9+jQCAgIQExODVq1a4ccff0RCQgK2bduGVq1a4bnnnrtmexcu\nXMDBgwcRFhaGBg0a4OTJk1i3bh3Onj2L6tWrw26345dffkFubi5KSkoQEBCAunXrolmzZigqKsIP\nP/zwp48DAJw9exbffvstEhISkJCQgM8//1x5LFTHITMzEzVr1sSdd96Jv/3tbwCAH3/8EdHR0QgO\nDkbr1q0RGRlZ5mPx888/Iy8vDxaLBUVFReV2HPh+MP5+ePfdd7Fz50689NJLqFWrVrm+H1THokaN\nGgCu/hGflZXF46DjOJj9szFmzBgsWLDAfRzoxlGlJ4edO3fGnDlzrrky+LvvvvsOqampWLduHZYv\nX+5ePmnSJEyYMAFhYWEArn78u3PnTqxZswZjx47F5MmTsWPHDkRHR2P16tV49913sWfPHrRq1Qr+\n/v7Yt28f+vTpA8Dz5PChhx7C9OnTERMTg6VLl+Kee+7B7t27ER0djeXLl6N79+5o1qwZdu7ciWXL\nliExMRGNGzfGsGHD8Prrr+Pvf/87HnzwQfz888/o06cPFi5ciEcffRQ9e/bE888/D6fTiUWLFmHb\ntm04deoUoqKisHv3blgsFrz55ptYs2YNmjdv/j/5i1AIgdOnT6N+/fro0aMHbrvttlJ/MKSlpeH7\n77/HihUrcM899wAAPvzwQyxYsAD9+/cHACQlJaFWrVp48sknERMTAz8/PxQXF7uvAg8aNAh5eXnI\nyMjAgQMHEBUVhWbNmrlrnj59OiZMmFDqGMyaNQv33HMPvvrqK9x2223IycnB8OHDsWbNGtx///1I\nTk6GxWKBEAILFizAwIEDAQDffPMNnn76adjtdhQUFGD+/PmYP38+WrdujRo1amDr1q1wuVzo06cP\nNE3Djh07MGTIEGRkZGDbtm2w2Wz461//isaNGxs+Dq+//jpOnjyJ8ePHw8fHB7/99humTp2K5cuX\no3379qhVq5bHYyE7DpGRkSgsLMTmzZsBAK+99hoA4JlnnsGVK1dgtVpRs2ZNZGdnY9myZe6fb9mx\naNSoEX766Sf3H3AdOnTAoUOHTD8OfD9c//2gOhYzZsxwf4oSFBSEtLQ0fPTRR6a/H1THokuXLkhO\nTobdbofFYsGoUaNQu3ZtHocyHIfy+NmYM2cOnnnmGQQFBQEAHn30UdCNoUpPDu+66y6sX7/+mgnF\n7x555BEcP34cLpcLmqa5l//+kn5fpmkafvrpJ7Rs2RJCCLz66qto27Yt7rvvPmzevBktWrTA1q1b\nsWTJEnTp0gVJSUlITU0FALRt2xZFRUX46quv3G/wnj17YtmyZe6TfcuWLXHy5En07t0bCQkJaN26\nNcLDw/HVV18hKysLQ4YMwejRo7Fx40ZkZGSgXbt2uPfee9GgQQNMnz4dGzduRPPmzd2v18fHB4MG\nDcJ3332HwsJCtG/fHl988QWOHDmCp59+Gg6HA+PHj7/mSur/wi9Cb29vNG7cGJcuXcLly5cRHx+P\nhg0bonXr1nA4HO7vvxACFsvVW2p/f3/8/n748ssvMXHiRBw8eBCjRo3ClClTEB8fj4ULFyImJgaP\nP/44unTpgqysLPj7+6OwsBAhISHu13vmzBnUrFkTdrsdmqYhICAAgwYNwvr16/HEE08gMjIS7733\nHmJjYzF58mSMGjUK4eHhSEhIwIwZM3Dy5EkMGTIEUVFReO6559CrVy+MHTsWycnJmDhxIsaNG4dn\nnnkGgwcPRq9evQBc/SNl06ZN+OKLL/Dqq6+iuLgYjzzyCM6dO4dTp04hPj4eAAwdh/T0dFSrVg2R\nkZHo27cvOnXqBE3TMHv2bMTFxSErKwvBwcFwOBzIy8tzHwvZcYiKikLPnj3xxBNPwOl04t1334XN\nZkP//v2xaNEiJCQkYPny5UhJSYGvry8SEhLQqFEj/OUvf/F4LL755hv06tULI0eOxNtvv40tW7bg\n2WefNf043Izvhz8ei+sdByEE2rVrp3w/qI7FmTNnoGkaQkJCYLVakZmZiRkzZpj+flAdi/Hjx2PC\nhAkYPXo05s6d6/E9wePg+TiUx8/GuXPnUKtWLVitVmiahu3bt4NuEKIKmzlzpujfv7/47rvvRElJ\nSal1TqdTfPvtt6Jdu3birrvuEkVFRe51EydOFGPGjBE5OTmlxjzxxBOiV69eonnz5mLZsmUiPDy8\n1Prjx4+Lzp07izZt2oivvvpKCCFEmzZtRNOmTUV0dLR45ZVXRGJiopg8ebKYOXOmiImJET179hRf\nf/21eO6550Tfvn3F448/Ls6dOyfCw8PF/v37xeDBg8X06dPd+3j88cdF3759RVRUlGjXrp0ICwsT\nkydPFsXFxWLixInir3/9q5g4caJ44oknRFFRkXj++efFgw8+KIQQolevXuKxxx4TUVFRpepu06aN\naNGihWjRooUIDw8XYWFh7v8PCwsTzZo1c/9/dna2ePzxx0Xz5s3FkiVLhBBCrFmzRoSFhYn33ntP\nCCFE586dRXh4uGjfvr1o3ry5eOCBB9z/wsLCxH333SceeOAB0a1bN9GvXz+xfv160aNHD/HBBx8I\nIYR49913RcuWLcWaNWuEEEI0bdpUHDhwQPTq1Us0bdpUzJ07V5w4cUI8+uijYtWqVUIIIT7//HMR\nHh4uXn31VSGEEJGRkSI+Pl7Ex8eLAQMGCCGE2LNnjwgPDxcnTpwQLpdLzJkzR4wcOVIIIcQvv/wi\nevbsKfr37y82b94sWrZsKVJSUkRKSopo1aqV+Oc//+n+fyGEKCoqEuHh4eKee+4RJ0+eFOfOnRNh\nYWHip59+EkIIcfnyZTFr1izxwAMPiDvvvLPU8Q4LCxMHDx50/3+XLl3E0aNHRevWrcXJkyeFEEKk\np6eLsLAwcfjwYfcxyM7OFqdOnRItWrQQo0aNEs2aNRPh4eEiNjZWfPvttyI7O1s0b97cPaZNmzbi\n559/Funp6aJt27ZCCCGuXLkimjdvLlq3bi1OnDgh0tPTRZs2bdy1GDkOw4cPF2FhYeKbb74RWVlZ\nomnTpqJ58+bip59+ch+HHj16iM2bN5fal+w4CCHcxyI9PV20bt1adO7cWRw+fNh9HIQQIjExUYSH\nh4tmzZqJAQMGiBYtWogtW7aI7Oxs4XA43Mfi9+Pw+3Ft27ZtuRyHm/H98Mdj0atXL+VxSElJue77\nQXUswsPDRevWrUV6enq5vh9UxyIsLEykpqa6j7mn9wSPg+fjUB4/G23atHEfB7qxVOm0ckxMDNq3\nb48nn3wSbdq0QadOndCtWzd06tQJrVq1wtixY9G7d2/cdtttePXVV93j/v73v+PixYu477778NVX\nX7mXz5kzB0IINGzYEK+//nqpfSUnJ6Nv374ICQlBbGws5s6di+eeew5CCPfHpGfPnsW6deuwY8cO\nJCYmYsKECejQoQNGjhyJrVu3AgCOHTuGBx54AC6XC4MHD8att96KF154wb2fV155BX5+fvjuu+/g\ncrmwcOFC1K5dG126dMGZM2fwww8/YNu2bfjxxx8RERGBb775xv3afvnlF/cVtj/atGkT6tati8aN\nG2P+/Pmw2Wx444038MYbb7g/Cv/9/2vUqIH4+Hi4XC5s2rQJv/zyC3r37g3g6lVS4OrVxUGDBuGW\nW26B1WrFjh073P8AYOXKldixYwe2b///7Z15UFXn+cc/oHLRiEQFiRYhSHqvqGyyCKhobQJT0tak\n01rbaKcOEUeIxEYziI3DXpUwTTN2ZAmIjjCGtMEYs7lgNIpGhbAYENnCLsgSZPcC9/394dxTb4Cr\nITet/OZ8/tLn4fvch2eec3nPOe95Tg6dnZ14enrS0tLCsmXLgPvbAdRqtc7tCmtra5KTk5k8eTI1\nNTX88pe/pKysjG+//ZarV6/i6uqKsbExfn5+ANy6dYtVq1bx85//nG+++QYAHx8fhBC8/fbbqNVq\nAgMDKSwsBMDW1pb09HRaWlrIzMzExcUFT09PPD09cXBwoKqqSvo/IF2BnDp1Khs3buTWrVsYGRlh\nbW0NwPTp04mOjsbNzQ2A119/nY6ODun3OX36NJcvX6apqQlfX18uX76Mh4cHCQkJ9PX1cfbsWWbN\nmsW7774L3L96LYQgLS0NV1dXDh06xKlTp7C0tOTcuXMEBwfj4+PD0NAQ58+fB0ClUnH48GFycnKw\nsbEBIDs7G4VCgaurK8nJyZw/f565c+dKeY2nDomJiUydOpWQkBBKSkowMjLi008/xdraWqpDXFwc\n+/btQ6FQPLQOgFSLTz75BFtbW9auXSvtp4X7V2cKCgpwd3fn1KlTBAQEYGJiQnh4OMuXL8fR0RGN\nRsP58+elOgghOHfuHDY2Nj9KHf4/9oO2FikpKTQ0NDBv3rwx6+Dp6fnQftBXCyEEQ0ND5Ofn/6j9\noK8WxsbGZGVlce/ePXJzc0f0hFyHsevwYx0bMhOTx/q2spb+/n7KysqksS4KhQIrKyscHBwwNTWl\nqqqKa9eu8Yc//EFHV11djaWlJWZmZpJNCEFbWxtdXV3k5OQQFBQEQHt7Ow0NDTg6OmJsbIxarebA\ngQN88sknZGRkjPjCbWpqYt68eQCcOnWK4eFhWltb6evrY9KkSdTX17NhwwbpwZbv0tXVhampKSYm\nJsD9W6wlJSXMmTOHuXPn0tbWJm1Q1v7Mxo0bmTdvHtHR0dJmaS2NjY389re/xdraGlNTU44ePQrA\n+vXr8fLyYvv27To//6tf/Yre3l4GBweJjY1ly5Yt5OXlSU9kw/2D/NSpU/j7+xMeHs6sWbNQqVRs\n3rxZui2emJiIvb09ubm5KBQK4uPjycrKIiUlBT8/P6KionBwcODixYscOHCA6upqjh49Sn19PS+9\n9BKmpqa0t7fT09MDwPbt29m6dSvr169HpVJhZ2fHBx98wAcffMC//vUv4uLisLGxoaGhQdqf4+fn\nh1qtprW1laKiIhQKBf/+97+lL8vCwkKCgoKwtLRk7969ODk5AXDx4kVeeeUVZs6cyZ07dxBCcPPm\nTQDy8vLYs2cPbW1tJCUlkZuby3vvvUdoaChRUVE4OzvT2NhIS0sLRkZGGBsbc/z4cXbs2EF1dTXD\nw8P87Gc/Iy8vj5kzZ1JbW4uVlRVGRkYcOnQIe3t76XO2bt3K5MmT6ezsxM/PTxpdNHv2bD788EOG\nhoZwd3dHo9FQXFxMbGwsHh4evPDCC3R3d6NUKlEqldIWA20dTExMyM7OlrYAjFUHuL+4efXVVxFC\nSNswtGhr0drair+/PxcuXNBbhytXrtDb20tAQAB9fX0sXboUJycnsrOz6erqwtvbm5qaGoQQo9bC\n2NiYu3fv8tJLL1FfX093dzdff/01kyZNYmBgAHt7e2pqaqQ6vPjii3R1dY1ZB4VCwfvvv//QOvzY\n/bBmzRquX79usH4QQlBcXExMTMxD+6GkpAQzMzNcXV156623DNIP362Fvb09165dY/bs2bS1tX3v\nftBoNKSnpz+0H8aqRVFREa+99honTpygqqoKjUaDu7s71tbWE6oOj3pc/JA6lJaWYmZmhouLi1SH\nH+PY2LdvHydOnNDZhiQzMZgQi0OZ+zQ0NBASEkJ9fT2LFy9mzpw5414QTOQ/hC+++CJ/+tOf+Oqr\nr1i5ciWzZs2SThicnZ3x9PTU2UcD0NbWxtmzZ/H19ZUW9QB1dXU0NzdTU1PDmTNneOeddwCorKzk\n3LlzrF27VtpDU1lZyZ49eygoKODMmTPMnz+fnp4eqqurqa6u5oUXXmB4eJidO3cyadIk+vv7pZOF\n2tpaNm7cyG9+8xudBThAR0cHX331FU8++STu7u709vbyzjvvUFpairm5Oebm5mg0GmbPno2fnx8/\n/elPAbh69SodHR3U1dVJJ04mJiZYWlri5uaGh4eHVIehoSF6enoYGhoaUQetr6uri3fffZfy8nJS\nU1MlX2FhIQUFBfz617/GysqKqqoq/vrXv1JUVMTp06elOlRVVfHNN9/w/PPP09vby+HDhzE3N6el\npYX6+nr6+vqoqKjA29sbDw8PAgICpFpoc9BoNCNqkZyczI0bN+jt7cXKygqVSoW/vz92dnb09PRQ\nXl5OW1sb9fX1OieQTz31FE5OTqP2Q2trKzk5OaP2g3bf3unTp6U6VFVVkZOTMwyVejwAAAv2SURB\nVKIf3njjjTHroK8f6urq2LBhw/fqB+1DOTNmzJD6wd/fX6cf2tvbdepgYmKChYUF7u7uOv0A90+U\nq6qqyMvL06mDEILOzk66u7s5duwYFRUVUh2EEOTn5+v0g7Y+D/bEzJkzpTqsXbuWzs5Ojhw5wowZ\nM7hz547UD5WVlXh5eY3oB20OQogRtUhNTaWkpEQ6NoaHh6VaPPPMM3R2dnLixAna29vp7++nv78f\nU1NT6fvhu3XQ9/0AUFtbS1ZWls5xMVZPVFVV8cYbb1BYWDiiDtqHMf7xj3+MOC6qqqpYtmzZiDro\n64nU1FRKS0uZMWPGiDpoeyI9PZ2Ojg6pDg/7ntRXi7GOjUf9rpSZYPzY961lDM/ly5dFUlKSiImJ\nEbt37xZRUVEiKSlJXLlyRQwPD4/4+dbWVnHs2DHR2NioY6+trRVffvmlyMrKEoGBgZK9oqJCJCcn\ni+bmZh3b+vXrhUqlkvaQdHd3i6KiInH8+HEhxP29Ltu3bxc7duwQwcHB4s9//rMIDAwUzz77rDhy\n5Ijo7u4ekVt7e7s4c+aMuH79uhBCiJ6eHvHWW2+JzZs3i507d4ro6GgRGRkpDhw4IMrLy8W9e/dE\nfHy88PLyEi4uLiI4OFhUVFRIdl9fX+Hi4iKUSqWorKwUQgjJt3z5cqFUKkVISIiorKyU7Np9pqNp\nVqxYoaMR4v6enf379+v4xsqhoqJCb7xHyUGbd3BwsOQTQoiPPvpI7Nq1S6hUKjE8PCxiYmLEkiVL\nhFKpFE5OTmL37t1Co9GImJgY4ejoKO0j/eMf/yg+++yzR/apVCqdeLGxsWLJkiVCpVIJFxeXh8b7\n9NNPx52f9rO0mvDwcMmu1fj4+IijR4+O6C1XV9dR9zuNZR+v5sFj4n+Vg4ODg7QHTAgh1Gq1iI2N\nFU5OTkKpVIply5aJtLQ0yRcXFyccHByESqUSXl5eIi0tTbI7OzuPqRnNNzg4KOLi4qT9zg/Gi42N\nHTNebGzsqJqHfY6+38nZ2VmoVCrh6Ogo0tLShEajEYcOHRJ+fn7C2dlZLF++XPz+978XQgih0WhE\nenq68Pf3F4sXLxbu7u4iIyNDx65P812fEEKkp6cLPz8/oVQqHzmeNr9FixY9kubBz3Fycho1P6VS\nKRYtWiR+8YtfiIyMjBG9sm/fPqFWq0fto9F849EIIURjY6MYGhoaYZd5/JGvHMp8L5qamnjqqadG\nPeP8b/DgDEuAjIwMbt68ibe3N9XV1YSGhtLV1UVkZCRTp04lISGBvLw8Pv/8czZt2kRERASurq6U\nlZWNS/Oo8bq7u4mIiJDi5efnc+7cuR+Uw9KlS7l58yYJCQnU1taSmJjI0qVLuXDhAmvWrKGsrAwP\nDw/Onj2LnZ0dJSUlLFiwgL6+PsLDwykqKiIzMxONRsOkSZPw9vbm5s2ben2enp4Gizfe/PTlcPLk\nyVHnk+bn51NXV8e8efOYPPn+rH/tnqjjx4+Pah+PxtDxxptDdnY2q1evliYqWFhY8NFHHxEeHs6r\nr77Knj17SEpKYv369fT393Py5Emam5vJzMykqamJN998k/nz59PY2Mju3bvH1OjzfZ94AwMDnDx5\nktu3bxs0h9Fmz5aXl7NlyxYKCwulvXpBQUEIIaRpGDdu3MDNzY0bN26gVCqlebVjafT5vm+8jIwM\nVCqVQXPo6Ohgzpw5DA4OMjg4yMsvv8zWrVsBWLhwIba2tgDs3LmT5557TuqjsXzj0chMbOTF4QTi\n+vXro9rLyspG2LTjf77rG8v+KBpDxxuPRt8My9DQUEJCQmhra2PFihVs2rSJo0eP8sQTT3Dw4EFs\nbW1ZuXIlpaWlxMfHj0sz3njTpk0jMTHRYDlMnz6d+Ph4Fi1aJI3YSEpKIioqisjISHx9fUlLSyM+\nPp6UlBRWrVrFmjVriIyMRAhBWFgYd+/eJSkpSa/vcYinTxMUFMQXX3zB008/ze3bt6X5pLm5ubS0\ntEi3HgHc3d2B+4ssIQQzZ87EzMxMso9HY+h4483hu4vDvLw8wsLCePbZZ6WxWl9//TV79uxBoVBI\nI6lyc3OZPXv2iDmtY2kMHc/QOeibPbtixQoSEhIYHBwkPDwcU1NTdu3apaO5ePEiQUFBHDhwQK/G\n0PEMncO2bdv4/PPPOXHiBElJSdy7d4+IiAgCAgLw9PSUfKmpqVhZWbFx40a9vsjIyO+tCQgI0Nnv\nLzOxeOxfnyfzH6Kjo6msrAT+M8vxu//W8uDTb49ifxSNoeONVxMdHT1ihmVmZiYHDx5EqVTi6uqK\nkZERYWFh0uDw0tJS6exW6xuPxtDxfkgODQ0NLFq0CCMjI+bOnYuFhQXffvstTz/9NACrV6/mzTff\nxMLCAkDyDQ4OMjw8LGn0+R6HePo0KSkpfPzxx+zduxeNRkNUVJT0AJejoyMmJiYEBAQQEhIi2T/7\n7DP+8pe/cOjQoRG+8WgMHW88muzsbF555RUcHR2B+7NYtU+TaufW2djY0Nvby9SpU7G2ttaZZ2dj\nY4NGo3moxtDxDJ2DWq2W9utp41laWgJIvsmTJ9Pf34+ZmRmWlpY6GktLS4QQD9UYOp6hcxBCMGXK\nFLZs2YKbmxubNm0iJSWFmJgYNBoNR44cwdHRkbi4OKqqqh7q02g07NixAy8vL8LCwsjLy3ukeB4e\nHixduhR7e3vMzc1Zvnw5MhMD+crhBEKtVvPaa6/R0NBAVlaW9MTyWHZDax6HHEJDQ7l37x579+6V\nrpJo7drXhm3ZsoXExETpAZvnnnuO+vp6Nm3axOHDhyX7eDSGjjfeHFavXk1zczObN28mNTVV8gUG\nBmJhYUFwcDAxMTFMmzZNentQYGAg06dPp6urCzMzM523Co3lexzi6dMA3Llzh9dff536+nqmTJlC\nREQEPj4+uLq6kpmZSUZGBvn5+Tr2Dz/8kBkzZrB///4RvvFoDB3v+2pUKhU+Pj44OTlhZ2fHxYsX\nUSgU/O1vf2PhwoWsXr2ahoYG4P74E4VCQXZ2NmvWrGHBggVcv36dxsZGfH199WoMHc/QOSgUCq5c\nuUJERATvv/8+t27dwszMjL///e8kJyfzxRdfMG3aNBYvXoyXlxfvvfce8+fPp6ioiG3btpGRkSEt\nVvVpDB3P0DkUFBRw6dIlenp62LVrF7a2tuzbt4/i4mLWrVuHj48PNTU1dHR0SOPA9PkWLlzIyy+/\nTGVlJeXl5ZLvYfEuXbpEcXGxjkZmYiAvDicYarWadevW4e3tTVhY2EPthtb8r3NoaWkhNDSU4uJi\nUlNTpTNRrb2oqEj6YtUumFpaWli3bh3Nzc0YGRlJt6zHozF0vPHmUFdXx+9+9zvu3r2rM2JD+xRs\nS0sLTk5OHDx4ULrKcOzYMSIjIzE3N+fjjz+W7Pp8j0M8fRrtGyOWLFnCwYMHqaysJDIykiVLlpCT\nk8PJkyeZP38+V65cGdUOjOkbj8bQ8R5Vc/r0aTZs2EBbW5v0dOzAwABXr17l2rVr7NixAyMjI37y\nk5/Q1NTEwMAA+/fvp6mpiX/+858IIZg8eTJqtVqvxtDxDJ3DpUuXePvtt8nKysLY2JhnnnmG27dv\n09vbi4mJCQMDAxgZGfHkk09ibW1NTU2N9M7u4eFhpkyZglKppK6uTq/G0PEMnUN3dzempqao1WpW\nrVpFQkKCdGVSe0te++7lBxnLNx6NzMRGXhxOQMaa6ziW3dCaxyGH0WZYau09PT18+eWX0gxLLRcu\nXKC4uJht27b9YI2h441HI4QgLy+PgoICHU1bWxslJSWsXLlS58Eh7ZiTuXPn6rzi6mG+xyGePs2D\n80mBMWeU6ptdakjN45LDg7NYL126hKurK0888YRe33g0ho5niBxGmz07Z84cnJ2dpfcda8fIaH0L\nFiyQRiI9qsbQ8QyVQ1lZGStXrsTNzQ07OzudY+n48eM8//zz0paER/GNRyMzsZEXhzIyMjIyMjIy\nMhKP9evzZGRkZGRkZGRk/rvIi0MZGRkZGRkZGRkJeXEoIyMjIyMjIyMjIS8OZWRkZGRkZGRkJOTF\noYyMjIyMjIyMjIS8OJSRkZGRkZGRkZGQF4cyMjIyMjIyMjIS/wekupfxsug2jgAAAABJRU5ErkJg\ngg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11fa501d0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.heatmap(np.corrcoef(pi.reshape([C*T,draws], order='F')))" | |
] | |
} | |
], | |
"metadata": { | |
"anaconda-cloud": {}, | |
"kernelspec": { | |
"display_name": "Python [conda root]", | |
"language": "python", | |
"name": "conda-root-py" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.5.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 1 | |
} |
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