GitHub_collection_pykan/tutorials/Interp_3_KAN_Compiler.ipynb
2024-08-11 13:11:03 -04:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "c982abca",
"metadata": {},
"source": [
"# Interpretability 3: KAN Compiler"
]
},
{
"cell_type": "markdown",
"id": "6b9ec6c4",
"metadata": {},
"source": [
"We have shown in many examples how to extract symbolic formulas from KANs. Now we want to consider the reverse task: compiling a symbolic formula into KANs. This might be needed for many reasons. One use case is that we have prior knowledge which is the approximate ground truth (empirical/constitutive laws etc.) and we want to build this knowledge into neural networks and only fine tune the network to real data."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "d8f94f0f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.1\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x400 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from kan.compiler import kanpiler\n",
"from sympy import *\n",
"from kan.utils import create_dataset\n",
"import torch\n",
"\n",
"input_variables = x,y = symbols('x y')\n",
"expr = exp(sin(pi*x)+y**2)\n",
"\n",
"model = kanpiler(input_variables, expr)\n",
"\n",
"f = lambda x: torch.exp(torch.sin(torch.pi*x[:,0]) + x[:,1]**2)\n",
"dataset = create_dataset(f, n_var=2)\n",
"model.get_act(dataset)\n",
"\n",
"model.plot()"
]
},
{
"cell_type": "markdown",
"id": "535c253f",
"metadata": {},
"source": [
"if you want more complicated formulas, you can load in an equation in the Feynman dataset."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e9cf1b61",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.1\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x400 with 36 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from kan.feynman import get_feynman_dataset\n",
"import matplotlib.pyplot as plt\n",
"\n",
"problem_id = 36 # problem_id in 1-120\n",
"input_variables, expr, f, ranges = get_feynman_dataset(problem_id)\n",
"n_var = len(input_variables)\n",
"model = kanpiler(input_variables, expr)\n",
"\n",
"dataset = create_dataset(f, n_var=n_var, ranges=ranges)\n",
"model.get_act(dataset)\n",
"#model.plot(in_vars=input_variables, out_vars=[expr], beta=10000, title='P{}'.format(problem_id))\n",
"model.plot(in_vars=input_variables, out_vars=[symbols('omega')], beta=10000)\n",
"#plt.savefig('./fig1.pdf', bbox_inches='tight', dpi=200)"
]
},
{
"cell_type": "markdown",
"id": "d1db913e",
"metadata": {},
"source": [
"We can check that the model indeed achieves zero loss (near machine precision) on the data"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "910c99a9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"tensor(1.5383e-15, grad_fn=<MeanBackward0>)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"torch.mean((model(dataset['train_input'])-dataset['train_label'])**2)"
]
},
{
"cell_type": "markdown",
"id": "35c347d2",
"metadata": {},
"source": [
"Assume we have a dataset for which the symbolic formula is only an approximate ground truth, we want to train on the real data to fine tune the model. The current model has the symbolic front turned on and the spline front turned off. So only the affine parameters in the symbolic equations are trainable. Depending on how much expressive power you would like, you may need:\n",
"\n",
"* If you want to keep the symbolic functions, but just train the affine parameters, no need to do anything.\n",
"* If you want to the functions to be trainable, call model.perturb(). If you want only the currently active functions to be trainable while the currently dead functions to remain dead, use mode='minimal'. Otherwise if you want to allow the currently dead functions to be active, use mode = 'all' (by default).\n",
"* If you think the ground truth should be more complicated than the current network, you can expand it first using expand_width and/or expand_depth, and then use model.perturb().\n",
"\n",
"In the following, we present the most complicated case where you want to expand the network first."
]
},
{
"cell_type": "markdown",
"id": "63af424e",
"metadata": {},
"source": [
"step 1: expand depth, add an extra linear function in the end"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "381b8a03",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.2\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 38 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.expand_depth()\n",
"model.get_act(dataset)\n",
"model.plot()"
]
},
{
"cell_type": "markdown",
"id": "27a934fe",
"metadata": {},
"source": [
"step 2: add two addition nodes in layer 1."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "5c5f92c9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.3\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 52 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.expand_width(1, 2)\n",
"model.get_act(dataset)\n",
"model.plot()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "3e426f24",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"torch.Size([1, 1, 8])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model.act_fun[2].coef.shape"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "17c4824a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 7,
"id": "116252e3",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[[3, 0], [3, 2], [0, 1], [1, 0]]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model.width"
]
},
{
"cell_type": "markdown",
"id": "3459fc85",
"metadata": {},
"source": [
"step 3: add two multiplication nodes in layer 2, with arity 2 and 3."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "ec1bfb11",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.4\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 86 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.expand_width(2, 2, sum_bool=False, mult_arity=[2,3])\n",
"model.get_act(dataset)\n",
"model.plot()"
]
},
{
"cell_type": "markdown",
"id": "038ea175",
"metadata": {},
"source": [
"step 4: now we perturb all edges (mode='minimal' only perturb the currently active edges, mode='all' perturbs all neurons)."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "45c8e738",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"saving model version 0.5\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 500x600 with 86 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.perturb(mag=0.1, mode='all')\n",
"model.get_act(dataset)\n",
"model.plot(metric='forward_n')\n",
"# purple means both symbolic front (red) and spline front (black) are active"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "6feae91b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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tOZCWlgZZmwwhISFYuGghmwODBO05kJ6eDplMhuDgYCxcyOaAMXjEJFgvCoUC69atw9dff43FixfjpptugpOTE/Ly8pCcnAyhUIi1a9ciICDA0qYy+gg2BxhsDvQctnIxwPfff4/Nmzfj448/houLCxISEgAAQ4YMgYODA86fP4/HHnsMmzZtgqOjo4WtZfQFbA4w2BzoBcToRGVlJY0ZM4b27NlDc+fOJX9/f/r111+prKyMbr31VnJ1daWdO3fSsmXLaMuWLZY2l9EHsDnAYHOgd7CAvh5OnjwJX19f3HDDDYiNjUVNTQ3uvfdezJ8/H7/99htGjhyJuLg4PPDAA9i6dSs4jrO0yQwzw+YAg82B3sHcYnrIzc3FiBEj4OjoiJdffhktLS346KOPUFlZiZEjRyI5ORmhoaHg8/m4fPky5HI57OzsLG02w4ywOcBgc6B3sJWLHsRiMdra2gAA9fX1yMnJ0bxWU1OD3NxcAIBcLodCoQCPx7OInYy+g80BBpsDvYOJix5iY2ORmpqK0tJSPPDAA/j9998xYcIEPProo6irq8PKlStx+PBhnD59Gr6+vhCLxZY2mWFm2BxgsDnQO5hbTA/x8fGoqanBjh074OPjg4kTJ2Lz5s0IDAyEu7s7Nm7ciJqaGnz44YdYuHChpc1l9AEJCQmws7MzaQ689NJLljaXYWaam5uxfft2pKensznQUyydUWBtKBQK+vvf/04AyM/Pjz777DMqLCwkjuOI4ziSSCT0559/0qJFi8jFxYUA0EMPPUR1dXWWNp1hZk6cOEG+vr5G58DkyZNJoVBY2lSGGdm/fz+FhoaSg4MDPfrooxQUFGR0DohEIjp79qylzbY6WBGlFlKpFCtWrMBPP/2Ezz//HCNGjMA999yDoUOHYsaMGXB1dcXFixexd+9eREZGYs+ePdi4cSOef/55ODs743//+x9uv/12Sw+DYSaOHDmCG264AV5eXoiJidGZA3v27EFraytKSkpYfcMAoaqqCv/85z+xefNmzJw5E59//jnCw8Nx9OhRzX3ghhtugJubm+Y+EBoaColEgry8PPz000+48cYbLT0M68HS6mYt1NbW0tSpU8nBwYF2796t+XtjYyNt3bqV5s6dS/b29jR8+HA6c+YMcRynOaaoqIjmzZtHAGjRokVUUlJiiSEwzEhTUxOFhYXRlClTqK6uTjMHkpKSaMWKFbR27VoCQJ9//rmlTWX0Eo7j6LvvviMvLy/y9PSkDRs26Py+iYiuXr1KAGjs2LGaOaC+DzQ1NdGsWbNIJBJRcnKyhUZhfTBxIaLCwkKKjo4mT09POnHihMHj7r77bho3bpze1ziOo+3bt5Ofnx+5urrS559/Tkqlsq9MZvQxjz76KDk4OFBubq7BYx588EFycnKiK1eu9KNlDHNy5coVuvnmmwkALVu2jCoqKvQet2fPHgJA+fn5el+XyWR07733EgB67733+tJkm2HQi0tmZiYNGTKEQkND6eLFi0aPXbduHQmFQmptbTV4TG1tLa1atYoA0NSpUyknJ8fcJjP6mAMHDhAAWrt2rdHjGhoaKCQkhGbMmMEeJGwMuVxO77//Pjk6OlJwcDDt3bvX6PEvvfQS+fr6dlrRaMNxHL3wwgsEgJ566qlBPycGtbgcPnyY3NzcKDY2lkpLS7s8Pi0tjQDQX3/91eWxBw8epIiICBKLxfTvf/+b2trazGEyo49pbGykoUOH0vTp0026Ofzxxx8EgNatW9cP1jHMQVpaGiUkJBCPx6MnnniCGhsbu3zPjBkzaOHChSad/5NPPiEej0fLli0jqVTaW3NtlkErLj/88AOJxWK66aabqKGhwaT3yOVycnJyonfffdek41tbW+mFF14ggUBAo0aNopMnT/bGZEY/8Mgjj5CTk5NB94eh9zg6OnbrPYz+p7W1lZ577jkSCAQUExNDp06dMul93f3dE6nuL3Z2dnTjjTdSfX19T022aQaluKxdu1bzZNHdFUV3nmDUpKenU2JiIvF4PHr88cdNelJi9D+///57j1Yh6tXOtGnTBr0rxFo5cOAAhYeHk52dHb355pvd+t13x2OhzZEjR8jd3Z3GjBkzKJN8BpW4cBxHzz33HAGgp59+ukc3ghdffJH8/PyM+l71oVAo6IMPPtD4ePfs2dPtz2b0HQ0NDRQcHEw33nhjj+bFwYMHCQB9/PHHfWAdo6fU1NTQAw88QABo2rRpXcZV9fHpp592GWs1RFZWFgUFBVFoaOigi78OGnFpa2uje+65hwDQBx980OPzdJU10hVXrlyhWbNmEQC66667qLy8vMe2MMzH6tWrydnZma5evdrjc6gzzC5fvmw+wxg9guM42rZtG/n6+pKbmxt98cUXPV5VGssSNYXCwkIaNWoUeXp60vHjx3t8HltjUIhLY2Mj3XLLLSQSiXq970J1dTUBoO+//77H5+A4jjZt2kReXl7k4eFB33zzTbdXQgzz8euvv5qlZkVdG5OUlMSq9i1IYWEhzZ07lwDQ7bff3muXVHh4OD3xxBO9Ooe6js7e3p5+/vnnXp3LVhjw4lJeXk7x8fHk6upKBw4cMMs5o6Ki6NFHH+31eSorK+nuu+8mAHTTTTdRXl6eGaxjdIe6ujoaMmQIzZw50ywCf+TIkV6vjhk9Q6FQ0CeffELOzs4UEBBAO3fu7PU5KyoqCIBZNgOTSCS0ePFi4vP59MUXX/T6fNbOgBaXy5cvU1hYGAUEBFB6errZzrty5UqKj4832/l+/fVXCg0NJXt7e3r33XdJLpeb7dwM49x///3k4uJCBQUFZjvnk08+Sfb29j3y7zN6RlZWFk2cOJEA0COPPGK2DK2ff/6ZANC1a9fMcj6FQkGPPfYYAaBXXnllQHssBqy4pKSkkLe3Nw0fPtxsE0PNF198QQKBgJqbm812zqamJvrnP/9JfD6f4uLi6Ny5c2Y7N0M/6vjZV199ZdbztrS0UEREBE2aNIm5x/oYqVRKr7zyColEIho+fHi3M7q64rnnnqPAwECzigDHcbRmzRoCQKtWrRqwD5MDUlz27t1Ljo6ONHnyZKqurjb7+c+fP08A6NChQ2Y/9+nTpyk2Npb4fD4988wz1NLSYvbPYKh84IGBgTRr1qw+eXo8evQo8Xg8+u9//2v2czNUHD16lEaMGEEikYhefvllkkgkZv+MadOm0eLFi81+XiKijRs3klAopNtuu82sD6rWwoATl2+++YYEAgEtWLCgR6mDpqBQKMjFxYXefvvtPjm/TCajNWvWkL29PQ0bNox+//33Pvmcwcy9995Lbm5uVFRU1Gef8dRTT5GdnR1duHChzz5jMFJfX0+PPPIIAaCJEydSZmZmn3yOTCYjBweHPu0V9uuvv5KTkxNNmDCBqqqq+uxzLMGAEReO4+iNN94gAPTwww/3+VJz5syZNG/evD79jMuXL9OMGTMIAN177719sgobjKj96N9++22ffk5raytFRUXR+PHjB6zro7/ZtWsXBQYGkrOzM33yySd96nY8e/YsAejz9OEzZ86Qr68vRUVFDagmqANCXBQKBf3tb38jAPTvf/+7X4Jkr7zyCnl7e/f5Z3EcR19//TW5u7uTt7c3bd68eUAHAfuampoa8vf3p9tuu61fruPJkyeJz+fTmjVr+vyzBjIlJSV0++23EwC67bbbqLCwsM8/c+3atSQWi/vE3daRvLw8Cg8PJ39/f0pNTe3zz+sPbF5cWltbaeHChSQQCGj9+vX99rn79+8nAP1WMFdWVkZ33HEHAaDZs2ebPUlhsLBixQpyd3fv13Yc//rXv0gsFlNWVla/feZAQalU0pdffklubm7k6+tLW7du7beHq2XLltHEiRP75bOIVGnPiYmJ5OzsPCBc4TYtLjU1NZSUlEQODg793k6ltraWANDGjRv79XN3795NQUFB5OTkRB999BHLRuoGO3fuJAD03Xff9evnSiQSGjFiBCUkJJBMJuvXz7ZlLl68SNOmTSMAdP/991NNTU2/fv7QoUPpn//8Z79+ZlNTE82ePZuEQmGvCrWtAZsVl4KCAho5ciR5eXmZ3N3U3IwcOZIeeeSRfv/choYGevTRR4nH49H48eMpIyOj322wNaqqqsjX15fmz59vEbdiSkoK8fl8evPNN/v9s22NtrY2evPNN8nOzo7Cw8Ppzz//7HcbSktLCQBt37693z9bJpPRfffdRwDoP//5j826wW1SXDIyMigwMJCGDRtGly5dspgdq1atojFjxljs848fP04jR44koVBIL774Yr/4hm2VpUuXkqenJ5WVlVnMhhdeeIFEIhF7GDDCqVOnaPTo0SQQCOjZZ5+1WCr+jz/+SAD6NJvQGBzH0UsvvUQA6Mknn7TJbts2Jy6HDh0iV1dXiouLs+iNgoho/fr1xOfzLdpCXyqV0muvvUYikYgiIyPp8OHDFrPFWvnhhx8IAG3evNmidkilUho1ahTFxcUx91gHmpqa6MknnyQej0fx8fEWD2o/88wzFBwcbFEbiFQdmXk8Ht155502t/GYTYnLtm3bSCwW080332wVe6JkZ2cTAIss2/XZMnnyZAJADz74INXV1VnaJKugoqKCvL29adGiRVbhXjhz5gwJBAJ6/fXXLW2K1bBv3z4KCQnR1JRYQ9p2UlIS3XnnnZY2g4hUsUI7Ozu64YYbbGrjMZsRl48++oh4PB6tWLHCarYMViqV5O7uTm+88YalTSEilT2ffvopubi4kL+/P+3YscMqbqiWguM4Wrx4MXl5eVnV1gb/93//R0KhkNLS0ixtikWpqKig5cuXEwC6+eabrWYnz7a2NrKzs6MPP/zQ0qZoOHr0KLm7u9Po0aOpuLjY0uaYhNWLi1KppGeeeYYA0LPPPmt1vsdbb72VZs+ebWkzdCgqKqIFCxYQAFqwYIHNTEZzs3XrVgJA27Zts7QpOrS1tdGYMWNozJgxVvOg1J9wHEcbNmwgT09P8vT0pI0bN1rVQ9CpU6cIAKWkpFjaFB2ys7MpODiYgoODbaLrg1WIi0KhILlc3mmCtbW10YoVK4jH41ntDn+vv/46eXh4kEwm0zsGS8FxHO3YsYP8/f3J1dWVPv30U6PCbOg7sCW0x1BeXk5eXl60ZMkSS5ull9TUVBIKhfTKK69o/jbQvgN95Ofn08yZMwkALV++nCoqKvrZQuMoFAp67733yM7OziqFv7i4mEaPHk0eHh507NgxvcdYyzziERHBAhARMjMzkZycjPT0dMhkMgQHB2PhwoW49dZbIZfLsXjxYvz111/YtGkT7rzzTkuYaRQiwpdffolHHnkEU6ZMgUgk0hmDg4ODpU1EXV0dnn32Waxfvx5JSUn46quvMHLkSABdfwfWYH9XGBrDpUuXkJ+fjwsXLsDHx8fSZurltddewxtvvIHk5GSkpaUNuO9AewwKhQIfffQRXnnlFfj4+ODzzz/H7NmzLW06gM72nz9/HkqlEp9//rlVfgf19fVYuHAhUlJSsGXLFixcuNAqf8sWEReFQoF169bh66+/xuLFizFhwgSIxWJUVlZi+/btUCgUuHLlCoqLi/HTTz/hhhtu6G8Tu0Q9hvXr12Px4sWYOHGizhgEAgHWrl2LgIAAS5sKADh8+DAeeughFBQU4KWXXsIzzzyDr776yuB3YG3268PQPKqoqMDmzZtRV1eHHTt2WO0YWltbERUVBT6fj1WrVg2o70B7DA8++CBeeOEFpKWl4cknn8Qbb7wBZ2dnS5sOwPgc+uGHH6z2O5BKpbj33nvx448/4uOPP4ZSqbS+37IllkvffvstjRs3jjIzM0mpVNKqVato2LBhlJKSQhKJhNasWUPOzs5W5/PUpqsxvPPOO7R48WKrapnf2tpKL774IgmFQgoMDKSEhASbsr8jtvgdaPPtt98O+O9gzZo1JBKJaNSoUVb5e7blOaRUKunJJ58kADR27FirG0O/i0tlZSWNGTOGjhw5QhzHkVKppAULFpBQKNRs9KOOtZhja9G+wNQx3H333VY5hkOHDpGHhwcdOnTIJu0nsv3vwNbtJzJ9DMuWLaNNmzZZ2NrODITvoKKigoKDg63yt8zv33UScPLkSfj4+CA0NBR5eXnIzc1Fc3MziAjFxcXIzc1FUVER7rnnHuzatQscx/W3iV1i6hjuvvtuqxxDY2Mj4uPjMWzYMJu0H7D978DW7QdMH8PKlSvxyy+/WN0YBsJ3cOrUKURFRVnlb1nYb5/UTm5uLkaOHInnn38ee/bsAQBIJBIolUqsWrUKAoEArq6uSE5ORkVFBeRyOezs7PrbTKPY+hhs3X7A9sdg6/YDtj8GW7cfsO4x9Lu4iMVitLW1YciQIRgxYgQAIC8vD/X19QgNDYWzszOcnZ3B4/FQnlqO9RPWY9jUYRgyfgj8RvvBe4Q3hPb9bnaPx1CXX4cz684gZEII/Mf6Q+wktqjtQPfsby5pRu7+XETcEAF7d3sLW36d7oyBz+eDx+NZ2GJdbN1+wPbHYOv2A1Y+hn51whHRkSNHaPz48VRbW0tSqZQkEgnNmzePhEIhHThwgKRSKUmlUkrenEyJvER6Da/p/Hud/zp9HP4xbVuyjQ6/fpgu/HiBqi9Xk1LRf8WV3R4D77rt66LX0a57d9Gpj09R4fFCkrX0f4+pw4cO0/hxptk/jj9Ode15r9FnYz6jPX/fQ5lbMqmhuKHf7VbDcRwdPnzYpO9gy5Yt9NCDD5FSoSROyVk891+NqXNIbT+ntA67tenOGB5++GFLm9sJW7efyLrH0O9LgISEBDg4OGDXrl247777AAB8vir0IxKJIBaLUVtbi6++/AqLbl0EHAHkrXI4+TmBOEJrVSvq8uvQWNSIy7svQylTAgCEDkL4RPvAN8YXvqN94RvjC7/RfnAOcDa7WickJEDZoMTOH3fi/gfuNziGTz/+FBN9JmJozFBUnK+ApFqCmtwaNJU1ITM5E5yCA4/Pg0+0DwISAhCQEIDAxED4x/pD5Cgyq82AKp9fWi9FmGcYRDxRl9/Bl59/idum3gb+CT44BQdJrQQXd13E2U/PAgDch7kjZEoIQqaGIHRqKLyGe/XpkxFpZc2bPI+++gov/9/Lqve2v51AAA/g8XkWexrtjv2vvPwKOCUHKNtttqDd2pg6hvXr1+PVV1+1oKX6sXX7AeseQ7+Li5OTE9asWYPVq1fDzs4Ot99+OyIiIpCYmAhnZ2cUFRXh2WefxcSJE/Gv1/8FUhByduYgY2MGrh68CqGDEEETguDk54T6wnqUnikFKQjEEZrLm9Fc3ozsbdlQSBUAAAdPB/jG+MInxgd+o/1U4hPj22MXD3GEk2+cRNzlOKx5fQ3sHewNjiE+Oh5xTnG4dvAaAscFYsa/Z0BSI0He/jwUnSwCALgMcQFfzEdJSgmytmRBKVNqBCcwMVAjOr0RHCJCW0MbWmtawSk4ePh64J333sHDjzxs8Dt45qlngJPA7ZtvR8TOCGRty0LGxgyUpJTAztUOQyYOgYOHA6ouVCFzcyaIIzh6O2rEJmRKCPzj/CEQCXpks7bt2qhvqs7OzibNo0mTJiFpcpJKWHgA+AAPPBARSEnXhYbHu/7ffsDU38GkiZMwZeoU1Q2DVPOPU6iCspYWmu78lidPnmwRG41h6/YD1j0Gi1XoHz9+HM/84xk4uTphctJkODs748qVKzh37hyWLl2Kvz/yd4gEIvCFfM0NqqGwARmbMpCxMQO1ubVwDXZFzLIY+MX6of5qPQqPFqLoRBFkTTLwRXx4hHvAyccJANBS2YLavFqQUjVc1yBXzQpH/V+fkT5G4zkKqQI/3fcTLuy4gFvevwWKBAVefPFF2NvbY9KkSXByckJ+Xj7OnT2Hu5bfhccffxx2dna4evAqDr50EMWnijH0hqG48a0b4TXcC/m/5yNvXx5y9+dCUiOBvYc9howfApcgF5CCUJVdhYrzFSrBEbQLTkIgAhIDEJgQCL9YP4gcjAtOW2MbWqtboZQrYedqB0cvRwjEAs138ORDT8Ld1x2Tp+p+B3fcfgeCU4Nx+cfLuOW9WzDxnxPB4/FQfbEa6RvTcX7TeTSVNMFruBdilsXAK8IL1ZeqUXi0EMWniqGQKiByEiFoYpBGbIImBpkUczIkKIbm0QsvvKDzHWjPI/V3QJzqAYSIdG7K6r9B6yN5/P4TmuPHj+P5556Hg6ODXvsfe+wx2IntdOwhIs14ANXf1WOyBKZ+B9aKrdsPWOcYLCYuAHDyq5M4nXoaLcEtkEqliIiIwPTp0xESEgIejwdOwUEpV4Iv4GtuiIDqx1V8shjpG9ORvS0bbQ1tCJoUhLH3jcXIxSPRUNiAwqOFKDxWiMKjhWgubwZ4gO8oX/iM8oGjtyMAoP5aPSqzKtFQ0ABAdVPxjPRUrXC0hMcjzAPSOim23b4NZefKsOj7RRi5SNVCpampCSdPnsS5c+fQ0tyC6l+qMXvJbMx/eb7OzYmIcHnPZRx86SAqMysReVskbnzzRviP9Qen5FB6phS5+3KRuy8XZefKAB4QNCEIYbeEwSvKC7ImGcrSylB2rgwV5yvAyTnwBDz4jvLVuNMCEgLgN0YlOLJmGVqrW6FoU0DsLIajtyOEdp2FM3lZMq7JroGXyINEItH5DkDAgRcP4Pi7xzHusXG49aNbwReoltycksPVg1eRsSEDOTtzoGhTIGxmGMbeNxaRcyJRlVOluf6FxwohrZOCL+QjID4AwVOCETo1FCFTQjTfhfoaaWPqzV37O2htbcWwkGGYceMMDA0b2ukchkRG8/kEXbHph1VNbUUtUs6mIP18eqfvgMfjXbdHjw3qsWiEpn08/S002t+BvjFYO7ZuP2B9Y7CYuMhaZDj69lFEzolESFKIweM4JadxFQnEgk4XSS6R49LPl5CxMQP5v+eDL+Jj5KKRiF0Zi7Cbw8DjqzK2Co4WaG52tbm1AFQxg9CpofBP8IeTjxPaGttQmVWJqqwqVGRWQFIjAQAI7YWqmxGPh/gH4xF5W6TBeM6pj07hyh9XcNfPd4Ev7FxGRBwhe3s2Dr1yCLW5tRh15yjc8O8b4D3cW3NMc7kqQytvXx7yf89HW2MbnP2dETE7QnW9poWgsagRZefKUHq2VCU4mdcFxyvKCz7RPvCP80fo1FAMGT9E74qsJrcGO5fvxM3v3Yyh04ca/A7OfnEW+x7dh8g5kVi8ZXGn1Ye0QYoLP1xAxsYMFB4rhNhFjFFLR2HsyrEITgoGCCqxOaq6/gVHC9BY1AgA8B7hfd2VNjUE7kPde/1DULQpAILRVShxpIpjQL97qb+EhlNyqlWeg8ioIBgTGO0xaVZiBsbFYPQXFhOXwmOFyN2fi6kvTu3SVUIcaQL3ArvOAqOmqbQJ578/j4yNGai6UAXnAGeMuWcMxq4cC5/o680Lm8ubUXi8UHOzK08v7xQzCJ4SDJcAF+TszMGh/zsEnoAHt1A31OXVQd4qBwDYe9jDb7SfTjxH5CjCvsf2Yea7MxE6NdTgmDgFh/SN6Tjy+hE0lTQhdmUspr86He6h7jrHKeVKFJ0oUq1q9uaiKrsKfCEfwUnBiJwTicjbIuET7QNpgxRFx4pQeq4UNRdrUJVTharsKnAKDnwhH74xvjpJA36j/XB63Wlc+f0Klu9drlcItcndn4sf7vgB3iO8sXzPcjj76+8NVZtXi4zvMpDxXQYaChrgEe6B2HtjEXtvLNyHqsZGRNdXl0cLUXi8EFXZVQBUMajQqaEaV5pvjG+3n8I5JQdlmxJCe2GX7+0oMuqVWafj+khsFFIFiKhL96a2DV19nrW5zRiDE4uICxEh5eMUOPo4YsyKMSa/R9nWLjBiQZdPeaVnS5GxMQOZyZmQ1kkRmBiI2PtiEXNXDBy9HHWOb2tqQ/HJYhQcLUDRsSJNzEBgLwAn4+Aa7IpZH85C+C3hEDmIUHe1DpWZlajMqtT8t/pStSaeI3IUwcnfCdGLo7uM5yikCpz78hyOvnUUkjoJEh9JxNQXpxq8edcX1CNvfx5y9+Xi6oGrkLfK4TLEBSFTQxB2Uxii5kXB2c9Zc+6KzArVCudcKcrOlqEyq1IjOEJ7IXxifDB25ViNS02f60xNWVoZtszdAr6IjxX7VugIdqfvgCNcO3INGRszcGHHBchb5Ai9IRRjV6pcl3Yuuv7f1ppWFB0v0qwuS8+WglNwsHe3R3BSsEb0AxMDjdqoRi6Rd3KnGsNUkQHMJzREBHmrHAKxwOTEB+3PNEUsOrnNmNAw+gmLiEtjcSNO/+80xt4/Vscd1BVEqhUMcQSBWGD0BqBG0abA5T2XkbExA7n7csHj8zB83nDE3heLiFsj9P6oFW0K/PGvP3D6f6fhEugCeatcJ2agfqrWjhko2hSouVSDiswK5PyYg2uHr0HsLNa4f7TjOdorHY9wD/AFfMiaZUj5JAUn/nMCSpkS458Yj6R/JcHBU3+rbKVMicbiRlw9eBWFxwtRcKQA9VfrIbATYOgNQ1WrmjmR8Izw1B1bu+Cc//48spKz4OjriNrLtSrBEalWOOr4TWBCIHxH++rczBuKGpA8JxkNRQ1Yumsphs0Y1uV3JmuWIefHHGR8l4Frh65B5CRC9OJoxN4Xi6HTh+q90clb5Sg5XaJyZx4tRPHJYsiaZRDYCTBk/BBN+nPQpCDYu3XO/FPKleAUnEkrAm04Jae5EfMFfNNu4Gqx4bSzAtBl7EMpV0IpU0LkKOr2ykc7xtKd9zC3GaO/sIi45OzKQXVONaY8P6VHT1BKmRKckoNAJOjSnaNNc0UzMpMzkbEhAxXnK+Dk64TRK0YjdmUs/GP9AajcVb/+41ec/ewskp5Pwo1v3AgAqLpwPUCtEzMY6a1T6+EW6gZ5ixzJc5MRvzoew+cPR2V2pc5Kp2M8xyfaR7PCcR/qjmt/XUPa12kQCAWY/K/JmPDkBM2TvlKuhKRGAmmDSuwcvR1h52oHHo+Hmtwa5O5TxWquHb4GpUwJz0hPjdCETg/VCMX+J/ZD1izDgm8WqATnfAVKz5VqYjiVWZUgJYEv4sNvtJ9O0oBbiBt2rtiJa4evYf7X8xF7T6zOdTYWmK+/Vq/J+KvLr4NbqJvGbdZRCLXhFBzKM8qvu9KOFaKlsgU8Pg9+Y/w0MZuQKSFwCXABcaRafdqZ9hDS0X5tt5KpIqMZu4mrGrlEDh6fZ9JKTO9nqcWsm245Q26z/kzFZgx8+l1clHIl/nrzL4QkhSD8lvBenUft3ulJLUV5ejnSN6Yjc3MmWqta4Rfrh5hlMbh68CquHbqGOevmIOHBBIPvbyhs0DxVFx67HjNwDXJFyJQQSBulICWp4hkdbm5EhJaKFlRmqYRGLTpV2VXX4znu9hA5itBc3gyhgxCxK2OR+EgihHaqOIKDlwPs3e0N3gxkzTJcPXhVk4HWWNQIkaMIYTPDEDwlGOe/P48Zr8/AiIUj9L5fLpGj4nyFTtJAZbau4MiaZai5XIOEhxMw66NZOjfJrm5SRISi40VI35iOC9svoK2xDcFJwRh731hE3xGtdzXS8f21ubUaV2bB0QLU5dcBADzCPVSJDBOHIDgpGL6jfHt009S+CffUnaRxSWn/ytpPoZAqILQXdlv8Op7flDhMV/YxtxnD3PS7uJSllSF7WzYm/2typ9hHd1FnknXHt94RpVyJvP15OPvFWeTtzwMICJoYhMn/moyouVEmn1cdM1Df7ErOlICUBLGLGKHTrgeojcUMiCNVPEcrllOWWobavFrNzcnOzQ5DJgyBf6y/JlW6q/ocIlXNjDopoPBYIYgj+ET7IGpeFCLnRCJoUlCXIi2XyFGRoVrhqEWnMrsS4FQuFv84/+sutcRA+I7yNen6yVvluPjTRVXG3x/5ENoJMWLRCIy9byyG3TTM5JtvU2mTanXZvsIszygHCHDyc9K4MUOmhsA/1r9bK15ziIz6POpVjUKqACkJIidRr5MCeiswmvMwtxnDjPS7uJz76hxAQMJDhlcF3YE4gqJNYTBV2RQqsyuxZe4WKNoUiL03FlcPXEXp2VI4eDogZnmMJuDdnXPLmmX4fvb3qowlHg9FJ4ogb5FDaC/EkPFDNLUewZODYefaubiJOIKkTgJJrQRKmRLlaeU4s+4Mik8VQ+QogshRhNbqVgDX4zlqsekYz+l43uR5yRA7iSF2EiN3Xy5aKltg52aH8FvCETknEhGzIzRJAfrQnjLyVjlO/PcE/nrjLzj5OcHBwwHVF6s1cTG/MX6aos+AhAD4xvgaFbHG4kZNxl/1xWq4DHHRZPx5jzA9PgcAknoJCg4XoPhUMYpOFKHkdAmUbUqIncUImhSkcWUOGT/EpO4Hmqr+9rR0nqDnN155qxw8AU8lch1WNT25oZtLYNTnUq+2NGNlbjNGN+lXcZHUSnD8P8cx6s5RCIg335abOqnKXWSSdeTqoavYvng73EPdseyXZXANcgWgEpyMjRk4//15NJc1w2eUD2JXxmLM3WPgEuBi0rlTv05FVnIWlu1ZBoFIgPL0cp24TWtVq96YgdBeCEmNBMQR7N3t4eDloBGJivMVOPTyIVzafQneI70Re28s7D3sUZVd1WU8x3e0L0DAwf87iHlfzUNAXACII5SllmncZyWnSwACAhMDETFHVVcTmBjY6Zp2vMlcO3wN2xZtg8sQF9z5452Q1Eo07rSyc2WoulClEhw7leBoJw34jPLpJDhEhJLTJcjYmIGsLVmQ1ksxZPwQTcafg4dpe4Kr43MiBxEUbQqUni3VuDKLjhdBWi8FX8RHYEKgTqKGoUQKtW29ERlOwUHRptAJ5JsjA627mWSmwNxmjJ7Sr+KS/0c+Co8VYtpL03rsxjKEdiaZOi7RFRmbMvDLg79g6PShuOOHO/SuIDgFh/w/8pGxMQMXf7oITs4hfFY4YlfGYsSCEUbdUc3lzdi+eDumvDgFUbdFdbJXHTNQ3+zUMQPXEFcETwpG2E1hCJ0eCs9Iz043l+JTxTj4fwdx9cBVBI4LxI1v3YiwmWEA0GU8hy/iI2hikE6DT3W/tZaqFuT/lo/cvbnI+y0P0jopHL0dEX5r+6pmVoTBG29VThWS5yRD0abA8j3LdR4gZC2y6y61s6rU6Oqcao3g+Mf66yQN+ERfFxyFVIFLv6gKZfN+zQNfwMfw+e0Zf7MijLq4jAX2iSNUZlXqxG2aSpoAAD6jfDRiEzo1FG4hbp3P3UORUfe966rIs6dtaXqSSWYKzG3G6A79Ji7EEY69ewzew70x8vaRffY5mkwyI6nKRIS/3vgLR14/grEPjMVtn95mUlKApE6C7O3ZyNiYgeKTxbBzs0PMXTGIXRmLoIlBen9kv/7jVyjaFJj72VyD51X3/2osbkRVThUqz1ei6ESRSTED7b5lodNDceNbN+rteKC+ke5YugPeI70hEAtQmalbn+Ma5Kpp8qmuzZE2SXHt4DXk7ctDeXo5eHwegiYFaTLQ/GL9dMbdXN6MLfO2oCqnCndsvwORcyINjlvWIkN5erlO0oDapSa0F8Iv1k+zuglMDIRPtA9aq1txfvN5ZGzIQGVWJZz8VBl/Y+8bC7/Rfno/x9SaFyJC/bX6621rjhai+mI1AMAtxE2nk4DPSB/NzdtYSxl934NcIofQTmhy3Kcnq5q+Ehgde7jrwmrpLtMM66PfxKUmtwZpX6dh3KPj4Bbc+SnQnBjLJFPKlNjz8B5kfJeBGW/MwJQXpvToB1F9qRoZ32Xg/Hfn0VjcCK8oL5Xb7J4xOuO78ucVHHrlEJZsXdLp6ber/l/SBimKTlwvLNSOGQRPDtbEbQLHB+LawWs4+NJBVJyv0Olbpk3Orhwcf+c4lu1ZpmnoqV2fU5lZqUmb7thvzTfGV5Vm3SpHXV4dik6qYkgugS4a91nYzDDYudhB1iLDzuU7cXnPZcxZNweJjySafF1lzSrB0U4aqL5YrWnn4j9WtcIJiA+A2EmMgmMFyNqSBUmNBP5x/hh731jELIvRjA9onw9yDkIHYbe/65aqFk2iRuHRQpSlloGUBAdPB1VxZ3vcJiA+AHwhv0uRUcra62960eHaVKHpaapyd+1hbjOGPvpNXDKTM9Fc3qzprtvX6Gt6Ka2XYvuS7Sg6XoT5X8/H6OWje/85Sg7XDrVXov94AQqpAmE3hancZotGQCASIHluMkYsGoFxfxsHQPXE3lrdquop5SiCk4+TSbtr6sQM2tumtDW0aWIGwVOCAQA5O3NQf6W+U9+yn+//GXZudrj1o1s15zRUk9LW2KYSmizdGh11EoHQXgjXYFfwRXy0VrWq4kdCHkKnhiLytkhE3BqBs5+fxZn/ncHkf03GzHdm9viGoxGc9tVN6TktwXEQwm+MHxy8HNBc1oyK8xUAgKi5UZommnwRHwqJQrWa7UaWmF5bWmQoPlWscWUWnyyGvFWu2QoiZGoIgicHI3B8IOxc7DqJjLxVrnroMZNbuKsCTnMG+ru0hbnNGFr0i7jIW+X4662/EHFrhNF+W+ZGu+llU1kTts7fiqaSJty5806jjRp7SltjGy7sUDVwLPirAGJnMaLvjIbQToiGwgYs3roY0jop5K1yiBxEcPR27NWmYMZiBi6BLpA2qD4rekk0xj8+Hr8/9TtmvjsTQ2cM1TlPd9qVtFS2aMSmIrMCVVlVqMyq1InncAoOIMDBywEugS6ozKzEiEUjsDh5sdm2qG5ratMRnLJzZai+pBIcvkh185a3yCF2FiNqQRQSH0lEYEJgtyv2u0IpV2XyaXeAbq1uBU/Ag/9Yf9UKs32F4+znbFKTyp5iaFWjpr9u9MxtxgD6SVyKThTh8p7LqiaVzv27hzxxhOKUYmxfvB1CeyGW710On5GGe2KZi7ordZoGjvVX6yEQCxA1LwoTnpyAgLiAPrkOmphB+02u4K8C1Fyq0bwuchRhyktTMHz+cPhGd78hpMHP5VSfq04gKE8vR+mZUjQWNeo8UfOFfARNDsLw+cMxbMYweI/0NuvNvq2pDeVp5ZqkgaITRai/Vq95XeggREB8AEbdOQrDbhoG7xHevSpg1AcRoeZSzfVEjaOFGhs8IzwRNCkIw24chpCpIfAI8+j7nTu1bvIgAHzVToX95bZibrPBS7+IS8raFNh72HdqE9IfXN57GTvu2gGfkT6444c74Bbs1m8TWylToqWyBVcOXsHhlw+jqawJnJxD6PRQxK6MRfSS6E4NHM1Nc2Uz8n/Px/7H96OtoU3zRGvvYa/TtiYgPsDsGXyKNgWqL1bjyh9XkLU1C2WpZZ1qOlyHuCJwXCD8xvhpanT01ef0lLbGNpSeLUVmcibyf8tHY3Gj5jWBnQAB8QEIHBeoSRrwGu5ldsFpLG5EwdECXD14FSWnSlSFpwQ4Bzjr7NzpN8bP7J+tRucmTx0yz/qpfoW5zQYXfS4uTaVNSFmbgtiVsf2yYtDm7Odnsf/x/YiaG4VF3y/SBFxNbXrZU/T1/8r/LR+nPjqF2HtjcWHHBVw9eBUiBxFGLlbtPTNsxjCz1iZoU3CkAH/86w/M/XIusrZkIeWTFIBTtbdvqWjpFDMImaraNdLcwlebX4vvZ32P5vJm+I/1R2VWJdoa2lTFhAK+plZJU5+jtUuob4wvXIa49OpGpJQp0VLVgqxtWUhbn4bqnGrwRXyIHEUq4QUgchIhIC5AZ3sCr6jeC466SaXQQQhJrQRFx4tU/04UofRMKZQy1U6hwZODNWJjaB+e3qJ9gzdHAWe3P7/jigpMaAYifS4ul3ZfQkVmBaa+MLX/luIc4c/n/8TJ909i/OPjccv7t2huDj1temkKnIJDa02r6obZof+XtEGKrfO3IuGRBIxeNvr6ls0bMlCbVwu3EDeMuWcMYlfGwivSq/tjNtIs8renfoOkRoKFGxcCUG35fHTNUZz99CzELmKMuXsMnP2dUZJS0ilmoF1YaKxq31QktRJsXbgVJadLsGjTInhFeSF3by4u772M4pPFqif6QGc4+ThBKVOioaBBp99ax62pfWN8TS6o7Fjz0nHLZtdgV00HgaoLVaq2O9ASHK1OA90VnI5NKrVXEso2JUrPlaq2HGjfqrutsQ0CsQCB4wKvr26SQmDvbrznmqlopyr318Zoeu1gbrMBS5+KC6fg8Ndbf2HI+CGInG243sGcyCVy/LTyJ+TszMGsD2ZhwhMTOh3T26aXHeGUHCS1EkjrpAAPcPRyVIlKhx/IwZcPov5KPRZ9v0inMluzZfPWbLQ1Xt+yedSdo7q8mRgTFUCVSrtl7hZMfnYyohdH67zWUNSAv974C2nfpMHZ3xnTXp6GsfePRV1+nU6thzpm4BXldX2L4l7EDBRSBX6+/2dkbc3Czf+9GZOengQejwdJrQT5v+erOjvvz0NrdSvs3O0QOiUUHuEeEDmKUHdF1Xut5lKNKnEAqhVYx60MDMVzFFIFwINOyjen5HD1wFVkbNTdsjn6jmi4Brmqery1Jw2oBUfsLNbtpZagWuHouylqalv0NKnU17eMiFCZWakTt9Fs1R3jq3FlhkwJ0XSU6AmGMsl6U8DZG6xly2aGeehTcak4X4HM5ExMenqSTt1BX9Fa3Ypti7ahLK0Mt2++HSMW6O/4C+hPVe4u2v2/AMDBwwEOng4GfwzFKcX47Z+/Yf76+Xo32lJv2Zy+IR1X/rjSactm9Y2pK0HRJn1jOlK/TMWKX1cYdHPV5NbgyGtHkLklEx7DPHDD6zcgZlmM5vMaixtVCQLtN7vKrM4xg9CpofAd7Wvy0zxxhIP/dxDH1hxD4t8TMfvj2TorSU7JofRsqWYLgdKzpQAPqgeVOZEIuzkMIkeRqu2NVrq0Wgh5fB48Izw7rXTch7qDlGSw5qWrLZvbGtpQllqm02lA3VlB7CLWuNTUouMV6QWlXKlqUmkkM9BYtT8Roe5KnaZtUNGxItRcViVquA9112kd5D3Cu9vt942lKltqVcPiM7ZPn4pL6tepUMqUmvqOvqQmtwZb5m6BtEGKu36+C0ETgrp8j3aqcneaXhIRpPVSg/2/DL6PI2y7fRuCJgVhynNTjB6r3rI5fUM6qnOqVVs2361ym/lE+5jca+qHJT/AO9pbsy+NMbT7lvmM8sGMN1Qt+Tt+lqROoirubM9K603M4NxX57D3b3sRcWsElmxdYjCLrrmiGXm/5iF3by7yf89HW0MbnPycEDk7EhFzIhB+czjs3e3R1tiGqgtVOq1vOtbneA33UiUPjPHTrHT0xXM0WzZvzEBDYfuWzSvbt2zW2o5aUidBWWqZTqeBuivXBcd/rD8C4gMwZPwQBCYGwjPC0+ADiKktZZormnU7QKfpbtWtXmH6x/l3uTo3tRZGr9Cgb1c1zG1mu/SZuEjqVE0qoxdHIzAxsC8+QkPh8UJsW7QNjt6OWL5nOTzCPEx+r07TSzvjAkNEaGtoQ2tNq2oLXjd7OHo7dit2c+7Lc8jeno3le5Z3eeMlIs2Wzec3nkfmlvYtm8cFInal/i2btSlPL8cvD/6COZ/OwZBxQ0y2sTilGIf+7xCu/HlF1bfszRsRdnOYwWsjl8hReqZU81RdeLwQsibZ9ZiBOm5jIGaQ92sefrjjB3hFeWHZnmVdNgZVypUoPlmsabZZmVkJnoCHkKQQTbcA3xjdPVyaK5qvb9Z2XtWNoCqnCvIWrXiOdixn9PV4jr4tm4fOGKrK+FscrVcQJbUqwSk5U4LSM6UoTy9H/dV6AICdq10nl1pHwelu37K2prbrxZ1HCzVbdYscRQiaqJuoIXbqbG9Pii37e1XDtmy2LfpMXK4cuIKCIwWY9n/mb1KpzYUdF7Dr3l0ImhCEO3+802g3W0MQqYKqgOGuyur+X0q56gnd0cuxR+NqKm3C9iXbMf2V6Yi4NcKgPdqof6R6t2yePxyxK/Vv2Xzk30dQdq4MS3ct7dEP8Oqh9r5lJ433LesIp+RQcb5CJ26jjhn4jfbTidu4DlHFDMozypF8WzL4Aj6W71sO31G+JtvZUNiA3P0q99mVP69A3iqHa7Crpv/ZsBuH6QgAp+SgbFNCIBagobBBpyC0IrOiUzxHW2w8wz1RlVOFrC1Z17dsXhKN2JX6t2zWblKpFhxNp4GzpRo3np2rHQLidZMGPMNVO3Oa2rdMG6VMibLUMp3GqNI6KXgCnmar7tCpoQhOCta4rHvTVdkiQsPcZlZNn4gLEeH4f47DM9wT0Uuiu35DDz/j5Psn8edzfyJmWQzmfz2/x9vFqs+n7qqsnaosa5ahpaoFSplSb/+vnrDvsX0AgDn/m6Pz+dp09SPpastmeasc39/6PWLvjUX86vge20pEyN2bi4P/dxAVGRWInBOJGW/OQECc6VsmmBoz8Ir0wv4n9qOhsAFLdy7FsBuHddtehVSBgqMFmo3RanNrIRALEDpd1ZYmck4kvCK9jDazVMqUqL5UrdP2Rl88xz3MHQqpAtU51WipaIFriCvGrhyr2bKZiFRp3kaaVLbWtOoITtm5suuC49YuOAkBCIwPhH+cP9zD3DXbLncrtsIRqnKqNEJTeLQQDYWq/nHeI7yvry6nhsAtxK3XgfSu2tKYC0NuM7b3jOXpE3Gpza9F6lepSPxboo5v2lxwCg77n9iPc1+cw5QXp2DG6zPMNmHVqcpKmRLSemm3+3+ZQt5veTjy+hEs2b5E8+QO9PzH0HHLZnVzx9Jzpbh7/91w9u99CjFxhOwfsnHo5UOoza1F9B3RmPHvGd3ewEuNoZiBOnbVWt2Kqf83VbXy7UVGX01uDfL25yF3Xy6uHb4GZZsSnhGeCL81HOEzwxF2S5jJXQK6iufwBDzNDdV9qDsi50Zi7H1jERDfvY3mWqtbOyUNqBuJagQnLgAB41SJA57hnbdkMIWGwgadRA31Vt0uQ1x0unD7jfYzj9D08aqGxWesiz4Rl6xtWWgsatSkmJoTWbMMO+7agfzf83HbZ7chflXPn8r1IZfI0VTaBFmzDGJnMVwCXHrV/8vQZ2yZvwXRS6KR8FCC2a6Restm9d4zgKqBY+zK2G5t2WwMTsEh47sMHH7tMJpKmhB7byymvzod7kPde3XetqY2FJ8s1rStKTxWCFIS+CK+apvoKcZjBqYga5Hh6sGrmgy0hsIGiBxFGHbTMI0LTd++LV2hHc9RbwhXf61es5UBX8SHV5SX5katHc8xldbqVp1O0WXnyjQrD3t3++tFn+2dBtyHuXd7XklqJSg8ft2VWXq2FJyCg52bHUKSrm83YGyrblPQxE36sICTuc0sj9nFRS6R4+hbRxF2c5jZm0M2lTZhy/wtqM2rxR3b70D4LeFmO7dCqkBrdStkLTII7YSw97RXFVr2IlVZm46X+cR/T6DoRBGW7uxZPMQY9dfqsXXhVoRMCUHxqWKUnSvr1ZbN+lC0KXDuy3M4+uZRSOokSHgoAVNfmmryLp2mnP/XJ3/FuS/OwTXIFbIWmd6YQciUEDh6G05qMAQRoTy9HHn785D/e75GzHxG+aiE5rZIBE8O7vGqSSlX4tpfqiSAvP15kFRLrrfkb3+y7hjP8Rvt161+ay1VLSg9U6oSm9QylKWWobFI1d7G3sNe1dpGK2mgu4Ijb5WjOKVY04G7+EQxZM0yCOwEGDJ+iMaVFjw5GPZuPSvu7OtVjbaQaZIjmNusXzC7uBSfKsal3Zcw5YUpZm0fUplVieS5ySCOsOyXZfCP9e/6TSaglCnRWt2KtiZVRbSjt6PGbuIIijZFt1OV1RiLo1RdqMLu1bsx64NZCJrYddp0d0j5JAWXfrqEFftXqDYFU2/ZvOk8mst7tmWzIWQtMpz+5DSOv3scijYFJjwxAUnPJvUosUIfmcmZ+Pn+nxGcFIwb37oRFRkVmrhBp5hB+83OfahpN1F1YF9oL0RbUxuu/HFFk4HWUtECO1c7hN8SrspAmx3ZLfeiok0B4ggiB5HOls2ZyZloa2iDR7gHPCM8AR5Qc7Gmc31Oh8w1z3BPo1mJnJIDcaqu1RUZFTqp0ep+avYe9qpkAa2kAVOulfrGry9Ro6WyRXer7vYVZk/nVV+uapjbrH8xu7ic/t9piF3EGLtyrNnOefVg+z73Q3X3ue8N2v2/BCIBHLwcYOdq12kC66QqG8gk64gpwXkiwq57dsF9qDtufLPrGhRT4RQckm9LRtjNYZj8zOROr+X/kY+MDRm4+HP3tmzuCmm9FCfeP4FTH54CX8DHpGcmYeI/JprlAePakWvYtmgbXAJdsHzvck0cr6GwQRUvaL/ZaccMQqeGarLSfGMMd4CWS+SdOjUQRyhLK9O4z4pTVG1pAhICNO6zwHGBRnc6lbfKIRALOq18NFs2b8hA3m/tWzYvGI7oO6LhEuCC6ovVOplrrVWqeI7ATtCp35rfaL9O9TlqkQGgCfy3VLag9FypTtKAWnAcPB10+qgFJgTCLdSt8+9ATyYZkWqrbvX1LzhaoCko9Qj30Cmw1bdVd1f05aqGuc36HrOKS1NZE1I+TsGYe8Z0K5XUGOkb07HnoT0YduMwLNm2RO8+991Bp/+XgAcHz+v9vwxhKJOs4zHamDJJs7Zm4cynZ7Bs9zKz9YwqOFqA35/6Hbdvvh1eUYZ7lGm2bN6QgeJTxbB3t8eopaOMbtlsCpq+ZZ+dhZ2LHaa8MAWJf0vsdWv96ovV2Dx7MxRSBZbtWYbAhM61U601rdeLO7ViBvbu9teLOzvEDNQJHMbsa61uRd5vecjbl4e8X/MgqZXAwcsBEbeqamrCZ4Xr1Bupm1SKHEVGr2NzeXOnLZvVhbLqLZtbKlt0EwiyVP861udot77xifGBvZu9TkuZjuLaXNGs2XhNnTSg3gvIwctBs7JRu9XUGWRdbZ/cVNaks7LRbNXt66TTAdp/rH+3e/v1RVsatvdM32FWcbm85zLK08sx5YUpve4iS0Q48voR/PXGX4hbFYc56+b0KmtIu/8Xj68lKt1YEndsetkTQdFGWi/FlnlbMP6J8Rh1x6huvdcQv//rdzSXNeP27283+T2mbtncHXT6lvk5Y9or0xD3QFyvvsPmimZsnb8VlVmVWLJtCaLmRhk9Xt4qR8npEk02VPFJPTGDpBD4x/nDydfJpDnLKTmUpJRo3GflaeXg8XkImhikKeD0Gu4FPp9v8kqQiFCedj3jT1IjQUB8AGJXxmL08tGdYkrEEeoL6julSldfrL5enxPoAt/RvvCJ9oHPKB/4xah6rxlLhmgub+6UNNBUqiU47UITEKcSHX0rnI5IG6QoPlmsSUEvTinWbNUdNClIIzZBE4K6lTjTF6sa5jYzL2YTF07J4ehbRxGQEICo24z/6LtCKVPil4d+wflN53HjWzci6bmknj+ZdLP/V5e2yZWqnmRarpTePOEcePEAGosbsXDjwl4/KUlqJdg8ZzMmPTUJo+7svlgZ27J55O0je5Q1V5tXi8OvHjbYt6y7yFvl+HH5j7j8y2XM/t/sbrUW4hQcyjPKdWo91DED39G+qqy09pudqTGDptKm621p/siHrEkGZ39nRMyJQNRtUQibGdat1bZSpkTuvlxkbMzA5T2XAVzP+IucE2k0uUQpU6Lmco1qpaMlPNrxHI9wDx23mm+MLzwjDMdzmsqarq9w2kWnuawZAODo7aizuglMCIRrsKvReazZqrv9+hcdL4K0XqqzVbe6uNNY9wlt+kRomNus15hNXCoyK5C5ORMT/zmxV63ZpfVSbF+8HUUnirDg2wWIuSumR+chIkjrpJDUdq//l7HzqeEUnKqrshkyyYpOFOH3Z37Hgm8W9LhmRM3578/jzKdncPevd/fafajesjl9QzoKj6oaOEbfEY2xK8ciZGpIt39kFZntfct+Nt63zBQ4JYffn/4dKR+nYNIzk3Dzuzf36GFBHTO4dvia6kZ3skgnZqAdtzElZqCUKXHt8DXk7lP1P6vOqQZfyEfI1BBNBlp3Gku2VLUga0sWMjZmoCy1DI7ejpqMP/84f5PP09bUhqrs9vqc85WozFYJT3fjOWrUglNypkQTw2kubxccH8dOSQOuQYYFhzhCZXalxo2mvVW3T7SPxpUZOjXU5DRxYwWc3RUb5jbrOWYTl7Rv0yBvlWP8o+N7fI76gnpsmbsFTWVNWLpzKUKnhXb7HJ36f7nbw9Gre/2/tM+lTcfAaU+aXnaEU3LYtnAbQqeHdgrAd9fWHUt3wDPCEze9fVOPz6MPzZbNGzNQf60eHmEeGHPvGMTeGwuPYR7dOpdO37LEQNz4lvG+ZcY49fEp/PbP3xC9OBoLv1vY47gOEUEhUYAv4qO1qlWn1kNvzGBqCPxj9ccM5K3tCQJiAequ1mkKOK8evAqFRAH3oe4a99mwGcNMXg1WZFaoMv6+P4+Wihb4jvZVuS5XjOl2kay6b1lzRTOqsqtQdaFKE8vpKp7jG+Orkwmovvk2lTV1am3TUtECQHXtOiYNGBIuIkJDQYNO25rqnGoAgGuwq6ZtUMiUEFUD1y4eKsy5qmFus+5hFnGRNkhx7J1jGLloJIaMN71BojalZ0uxdcFWCB1U+9x7D+/+U7y5+n+ZGkvpTtNLY5z9/CxyduZg2S/LelycVpFZgd0P7Mbs/802qSN0TyCOUHC0ABkbMpD9QzbkLfIeb9ms07dsWnvfsild9y3ryMWfLuLH5T8iIC4Ad/18V49qXgCVuwaETnES7ZhB4dFClJwu6RQzCJ0aiiHjh0AgFkDRpoDIQdTphiOXyFFwpACX915G7t5c1F+th8BOgGEzhmna0pjScJVTcMj7TVUoe+nnS+CUHCJujUDsylgMnze8Wxl/2q4fzU2SYHI8R73S8RnlA5+RPjoJDESEptKmTkkD2oKjcae1/9clUL/gtFS1qDZSa3ellaWWgVNwcPB0QHBSsEb0AxMCu/y9m6stDXObdY1ZxOXqoau4evAqpv3ftB7dHC/vvYwf7/oRvjG+uOvnu+Dk2729X9qa2kWlF/2/ehqcN6XpZVc0FDVgx9IduOH1GxB+c88KQ/966y+UnCrBXT/f1S9PUrIWGXJ25iBjQwauHurZls1EhNx9uTj4Us/7lgFAyekSbJm3BXaudli+b3mPdvLUrnkxZrsmZtD+VK0dMwiIC0BwUjCG3jAUIVNCDNb6EBFqLtdoUp2vHbkGTs7Ba7iXJtU5ZGpIl3NYUitB1rYsZGzIQMnpEti72yNmWQxiV8ZiyPghps9hPSLT8b068RztfmvtnZ418Zx2wdEXzyEiNJU0dUoaaKlsFxw/J534TWBiIFwCO8e+ZC0ylKToJmpob9WtdmUGTTK+Vbc5VjUd3Wbqa8GExgziQkQ48d4JuIe69yiIfOazM/j1iV8RNS8Kt39/e7eCxrIWGVqrW6GQKiB2aheV7jy59TLbS/s8XaUqd8Wev+2BQCzA7I9nd/u9cokcm2/djJjlMUh8OLHb7+8t9QX1OL/pPDI29mzLZuIIF3ZcwKGXD6Hmck2P+pbVXanD5jmb0Vrdirt+vsuk7s0dMdbM0pjtlVmqXSOvHb6G4pPF12MGo3x0aj0MxQzamtpw9cBVTQZaU0kTxM5ihM0M0xRwdlXbVZVTpcn4ayptgvcIb03Gn3b/uq7G0t0OzG1Nqn5rarFR1+ioBUNgJ4DPSJ9OWxmo4zAawTlbqiM66niQs79zp6SBjoKjlCtVbXfaXZmarbr5Wlt1T+16q+7eFnAyt5kuvRaXuqt1OPfFOSQ8lNDtfVT+eO4PnPrgFCY8OQE3//dmk2/KcokcrVWtkEvkEDmI4Ojt2P00Ri3M1turQ6pyd7i89zKOvX0Md+y4o9vVzZf3XsaR147grp/v0vuk118QtW/ZvCEd2dtUWzYHTw5G7MpYk7ZsVvctO/L6ETQWN3a7b5mkVoJti7ahOKUYizYt6nZ6t1KuBCfnepQVp65tEToI0VDQoFPrUX1RT8xgagh8RnaOGRCptji+vPcy8vbloehEEYgj+I3x02SgBU0MMji/1Fs2p29Ix8VdF6FoUyD85vZC2YUjTBobcQROqXKB8fi8bj8sqTsFdGryqRXPsXOz65RAoI7nEBEaixt1VjelZ0s1DUKdA5w7JQ1o/2aICDWXanTiNuoVlmekp07rII9w/Vt193ZVw7ZsNoO4ZG/PRn1BPSY/M9nkm7RcIsdP9/6EnF05mPXhLEx4vPM+9/ro2P/L0cfR5CaGfSUoHVHKlapMsg5V310hl8ixZe4WxCyP6XYzzl8e+gV8IR+3fXpbd83tMzpu2SwQCzBi4YhOWzbrQ9O37K2jkNR2r2+Zok2B3Q/sRmZyJmb+Z2a35qU6sC8Qd//hQN4qB0/A0+vKUscM1LUepedKQUq6HjNof6rWFzOQ1EmQ/3s+8vblIXd/LlqrWmHvbo/wWeGInBOJiFsjDLqR1Vs2p29IR9HxIti52iH6zmjNls2m3CB7KjKam7LWjVhTn6NdEJqpJ57TofWNT7QPhPZCNBY1duo0oBYcl0CXTkkD2okOjSWNOinoFZkVAKlWRtpta/zG+Okvku5FAedgjc/0SlwUbQr89eZfGDZjmMl7b7RUtWDbom0oTy/H4uTFGD5/eJfvMdb/yxj9JSgd4RScqhammy6Wo2uOovR0Ke788U6Tn3Aaihqw/fbtmPHGDIObj1majls2uwS6YPTdozF25Vj4RPsYfJ+mb9l/jkMhVWD84+OR9GxSl/UPxBEOvXIIR986ioRHEjDnkzkmi4WhwL4xOCUHhVQBob3QpBuwrEWm2jWy/UbXMWagKSzsEDMgTrUrqdp9VnqmFOABgYmBmqSAwIRAvXOn45bNnhGemoy/rrbF0NdSxhT0CYw+1PEctVutYzwHPMAzwhN+o1WFoOqVjke4h96kAUmNqqbNJdClU9KA2i0mrZei6ESRZnWj3qpb7CLWdHMInRqKwHGBnbIQe7qqGWxus16JS8npEuTsysGU56eY1BW15nINkucmQ9Ykw10/39VlZpmp/b+0sZSgdKQnqcqVWZX45aFfcOvHt5q8LfGZT8/gwg8XsOLXFb3exKyvIVLdHNUNHLW3bB69bLTBAHinvmVPT8LEf3bdtyx1fSr2PLIHEbMisGTbEr3bEXdEE9h3EJo8d7SbVPYEozGDOH+dtinaMYPmimbk/5avqqv5LR/SeikcfRwROVtVUxN2c1intv492bJZ+9p0V2RMFRh9dIznqP9rLJ7jM8oHpCSdxp1l58o0RdQuQ1x04jdqwVFIFSg5U6L5DopOFKGtUfUwG5h4favu4KRgvde0u6uaweA265W4nPn0DIQOQsTdH9flsYXHC7Ft4TY4+Tph2Z5lRusjetr/SxtrWHJ2N1WZiLBz+U54RnlixuszTDp/8txkhE4PxZTnppjF5v5Cs2Xzhgzk7s8FX8BH1LwojL1vLMJnhet1KbZUtuDYO8dw5tMzsHOxQ9LzSRj393FGb+p5v+Xhhzt+gGeEJ5bvWW5STEpfM0tDGGtS2VN6EjPgFByKThZpMtAqzleAJ+AheHKwJgPNd7SvzhyUNctw4ccLyNiQgWuHu96yWW2b+unb1Cfv3giMPloqW66vckyI5/jG+MLezR61ebU6SQPSOikAwDXItVPSgIOXAyozKzWuzIKjBarOBDzAN8ZXIzahU0N1ki16sqoZqG6zHotLS2ULTn5wEqNXjNY02TNE9vZs/HTfTwia2L7PvYFNkrrb/8saBaUj6kwykGmpyuc3n0fql6lYtmdZl0/mRSeK8OuTv2LhdwvhM9Kwe8na6WrL5o40FjfiyBtHkPZ1e9+yl9v7lhlwQZZnlCP5tmTw+Dys2LcCvjHGm6qa0sxSc6yJTSp7S2Nxo87OnZqYQYCzzspGHTNoLG7UuM+u/HkF8hY5XINcNQWcYTeF6axS6q/VI2NTBjI2ZKDuSh3cQt0Qe2+sZsvmjnRXZPR1VTYn3Y3n+IzygYOXA2RNMlRmVl4XnPp2wQl21Uka8I/3h6xJppOo0Wmr7vbvQd2FobtCY8htZqt7z/RYXHL35aL0bCmmvjjVoD+biHDivydw4IUDGL18NOatn6fXddOd/l+2ICgd6U6qcmtNK7Yu2IpJT03CyNtHGj3vn8//iYaCBtyefLtNXAdTKE8vR/qG9i2bq1VbNqsbOHYMXNfm1eLwa4eRmZwJ96HuuOH1GzB6+Wi917exuBHJtyWj/lo97tx5J8JuCjNoA3EEhVQBgV3XaeVyiRw8Hs9sW2CbiqROouoA3X6zU8cM7FztEDw5WKfWgzhC4dFCjdjUXKqBQCxA6LRQTQaauoM2EaHoeJEq4297NmRNMoRMCVG5ze6I7uT+Vlf7q1uj8ATGn7i76qpsbjrGc9RbGXSM56g7ETj5OoHP56O+oF6TNKAWHLcQN52kAc9IT1SkV2hWN2VpZapEDS8HnRT0wERVHKw7BZwDIT7TbXFpaWwBSLUpmKO3IzwjVU81zc3N8Au8voKpKa3RXCD1hSEiVFZWIjouWnOcUqGEpE6Ctvo2iF3FmpWKUqmEnb3uk7u2qbZ2M1ULDKfkVIV6WpXMfL7qBtZQ1QBAVTdCSoJHmAcIhLq6OgyLup4wUV9VD+JUrhMnXyc4eKlWgrW1tQgbbvimaWvUlNbo/XtFRYXOHKosqER1TjWk9VKdlkEdj0vdkorAxECInEQGz6eeYwqJAjwBT7Ma0v6eAIDjOIBU4iK0F2peI+ge11+oYwahU0NRVVil94FPe5ymXtvUramauIP2OTsex3GcRmT4Qr7O71N7rgP6Baa/f8+yZpmmx1rc/XGoyK+A0KH9AUFrpVBRUQF/V3+UnSvDqDtHIWNXht4OGBUVFQiPCEfxqWKE3xze5fXViEe74HQUDn179BBRp1iXVd8HqYco2hQkl8qJ4zgqOFpAxcXFeo/jOE51vExBKf9LobNnz3Y6RqlQklKuVP1vuZIk9RKSSCQ9Nc2q4ZSc5n8r5UpSKpWdjlG0KTTXJHt7NuXk5Og9l0KmOo7jODq/+TxduHChz+y2BjiOo5Mfnew0hy7+fJFqLtdQa00rHfy/g5q/dzxOUiuhU2tPaeakvuPU11QhV5BCptD8veP3pJQriVNyOt+nvuMswdG3j3YaI5HuOI+/d1zveztes9baVmoqa6JzX54jpUJp8DhOyRHHcZ0+V/v/63u94zGW4rubvyOi6zZe3nOZOI7rNM6GogY6+8VZkjZKdezWd1/ThuM4Ovlh57lr6Fhjf+c4TnO9rZkeP2IJxAIIxAIUHS9C0GTDvax4PB6UMiXOfXkO4/6uvz06X8AHX8iHQqaAQqqAvat5Ns6yRtRPHZySA0+g/6lDIBaAiJCzKwcjlxh2jQlEqhhO9tbsHnVHsCWII6R8nILxj3VujDp8/nB4RnrCwdMBU16YArlErvcc9h72GP/YeBx986jBz+ELVU+GAqH+PXu0jyOOACt8cEx6Pgkn3jth9JjQaaGaZBNjOHg4wNnfGXGr43DktSOGD+RB9QRuassUK2Ppj0sBqOxXSBQYdtMwZGzI6HSca5Ar4h6IQ9GJImRtyTJpLETtc/fxrpv66rjMOqAdx7HGedeRHosLtftmgyYHGXUDKOXXhaWrXHdOzqmCjDZw4XoDp+SMZoNwCg4Xd15E9JLoLjPksrdlY+QdI3vU9dlWII6QsjYFE56Y0GUMROQowo/LfzT4Oo/HQ8JDCai+VG3wdfU1Vz8YGYIv5INTcFZ3s+TxeJjwxASc++qcQduGjBuCY+8cM9l2Ho+H6a9NR+7+XIOvg9f1zVGNtV0zscv15IbP4z6H0F6I0StG6z2WL+QjYlYEYu6Kwa9P/mr0vESElI9UwtLV3DVJqJRkM5lkPbojmSosnILDmc/OYNyjxoWFU6hqQkyttrdViKhrYVFyuPDjBUTfYYKwbM/GyMUjIRCaJwXWGiEinPr4FCY8McHkYOaSLUuM/lCd/JxQc0kV5O2KropgrVVghHZCxNwVg7Sv0wzaNu3laUhZm6LJpuoKvoAPTm54rNoCY/SYdqztmp3+32kAwC3/vQVA1989j8/DjW/daFBQNSuWJ4wLC5Fu7MXYcYa8HdZIt8XFVGEhjpDySQomPD6hy5ukrEVmUoGbLUPtWTXGhIU4lWCMunOU6cJiptoKa4SIcOqjU5j45MRuZckI7YXYvWq30WOGzx+OtsY2FJ8qNnqcuobE2OvWKjB2LnYYc88YnPv8nKrzQAd4PB7GPzYe6RvTUV9Qb9I5h88fjoP/d9Dg62qB0aTgGjqmHWu6Zukb0gHApK4hauxc7LDz7p2d/q7tCutKWLTTlI2hTo6yFbotLmphISVpflAa5dXi5AcnMfEfE3Ve13ecpFYCO1c7VUaEgWMGAqS8/tRhaJxZW7MQszQGIJU70dBx2dtUwsLj8Qb0dUv5SOUKAw9G55C+OXbjWzd2eVzQpCDIW+U6x+mdr3p+zx1tsSaB0bZNIBYg4eEEpG9I1ztOHp+HuAfi0FDQgAs7Lph0bRMfTjR6HACNwBg9xoogIqw6sQpp36SpMt+6MddmfzK703FqYVFnyeo7n774ib5ro6knMnIua6Tbyfleo70gaZKg9Ewp7D3tNS3VHcS6hZHDlw9HbXmt5qKoFdfDSbcy387NDi01LZA1ynRakvN5eprH0fWcb1uDJ+BpWsJopyJrE3JzCJrqmlBf2J6K3N7FwMVBt6o86MYgNNU1oeZSDZz9nTXdhl0dTGutbitE3hmJ+qr6Tn/vOIfqKuo6v5ln2nFu0W7g6jqvTBRSxfXWPeoahQ4Qqarz1T3FjCUA9Cf6xhm2IAx1dXUGj3GJcoFDiAOaJE1dngviztcWgKbRpWY1beBnaooLqL9Rj9MhxAF1FXUG71d6r4ee4yLvMGHutgsLp+SMt35p/7O6X6H6OKu/D1IPKThWQH889wfV5NUYPIZTcvRpzKeUPDfZ6LlkLTKqulhFcqnc6HGGUhltCblE3uU48//Ip/WT1lPlhUqjx/286mf67ZnfzGmeVXLq41P0Gl6jKwevGDyGU3K0Lnodbb5ts9Fz5f+RT6/hNSpLLzN6nFza9ffEKTlqa27rlI5sDUgbpPRhyIe0YcYGo/Zlbs2k1/AaFZ/WX0qg5uukr2nrwq1Gj+E4jhQyRZe/UWv+HVtirikVSp00b72faeK1tSZ6nGIUPDkY7sPccWHHBb3+XED1ZJL0fBJy9+WiPL3c4LmEDqrd/2TNsp6aYzMIxALVE54RP/6wG4fBLcQNGRs7p0JqE5wUjNLTpVDKu04ptWXGPzYeodNCsfuB3WhratN7DI/Pw5QXpiB3r/G5FjI1BCInEXL36c960pyPx+vk1ukIabuArAw7VzvM/3o+rh26hjOfnTF4XPSSaHhFeeHY28eMni9yTiSu/HnFpPTlLrH84s4gFptrA5AeiwuPx8OoO0ZB3iI3evFilsbAI8wDx94xPHl5PB5EjiJN47mBDI+vCgCrYyqGjhlzzxgU/FWAuqv6l+EAEJIUAnmr3OgEHwjw+Dws+HYBWqpa8Mezfxg8Luau9rm2xvBcE9oJETYzDHn787r4UBOCzWptsdKbQ9jMMCT+LRF/PvsnavNr9R7DF/CR9HwSLv50EZXZhrPnIudEQtas6q1lCM11sGLx6AqLzDWg62tm5XNNH70qjnDwdEDE7AiUpJSgNs/A5BXyMfnZybiw44LB2gIAEDuJIZfINZsT6cOWLqwxBCJBlzUUEbMi4OznjIzvDK9ePCM94ejtiKITRX1hplXhEeaBme/OxLnPz+HKn1f0HsMX8pH0XBKyf8g2OtciZkeg6EQRJHUSg8eYunKx9jl5839uhpOvE3Y/sNtgyuyYu8fALcTN6I3SL9YPzgHOXT6FDwT6e64NVHpdeRc0MQge4R5G3WOx98bCJcAFx989bvA86n5P8taBv3oBunaP8YV8jF4xGlf+uILGkka9x/B4PARNDkLR8YEvLgAw7m/jMHTGUOxetRttjfpdFrEr2+faO4bnWuTsSJCScOUP/TcOABpXl9HViw1USoudxZj/zXwU/FWgqePoiEAkwOR/TUbWliyDKxwej4eI2REmuXi6XPHZAJaYa8awhQeZjvRaXHg8HqKXREPeKkfuXv0TT2gnxKSnJyFzc6bBfHqBSAChnXBQuMYA09xjUfOiYO9uj/Obzhs8T0hSCOqv1qOprMngMQMFHp+HBd8sgKRWgt+f+V3vMUI7ISY9Mwnnvz9vcK65hbjBN8bXqLvCFBePrfzgh80YhnGPjcOfz/+Jmlz9DRXjVsXB0cfR6ANg5JxIVOdUo/5afa9tsvbr1p9zTc1AEGVtzNIzxMHDAZG3RaLkdIlmj4OOxD8YDzs3O6M9j0ROIshaBn5QX01X7jF1lXXuvly0VLXoPWbI+CHgCXiDZvXiPtQdN793M1K/SkXeb/p/sAkPJajm2n8Nz7WI2RHI3Z9ruF3JAFm5qJn5zky4BLjg5/t/1ut6FjmIMOmpSUjfkG5wpRw2Mwx8Id9gCxgAeutbtLGlG2i/zTVTsKG5psZsDamGjB8CzwhPXPjxAhTSzu4xsZMYE56cgLSv09Bc3qz3HGInMTgFp/f9A5Wu3GMjFo2A0F6IzORMva+LncXwi/UbFHEXNQkPJSBsZhh+Wf0LpA3STq+LncSY+I+JSF2fanCuRc6JREtFi8FkiIG0cgFU12TBhgUoOlGElI9T9B6T+EgixE5igw+A9m72CE4KNi1APUDo17k2wDCbuKjdYwqpavtafYx/dDyEdkKc/PCk3tc1KcmDaPXSlXtM7CTGqDtH4dJPlzSbFnUkeHKwZrOowQCPx8P8r+dD2iDFb0/9pveY8Y+1z7UP9M+14KRgiF3ExmMIXWSMWWtXZEOETg3FhCcm4OBLB/UGoe1c7TD+ifE498U5gyvliNkRuHrgqsEHwIESc1HTb3MNGDAPMmrM2krX3t0eUXOjUHq2VO/ktXe3R+LfE3Hu83OaXSe14fF4qqyxLuIuA2nyAl27x6LviFa11t+erff1kKQQKKQKlKWW9aWZVoVbiBtmfTAL6d+k6/3R2rvbY9yj43D2s7N655pAJED4zeE9zn4iG+0WcdPbN8E1yBU/36ffPaZuEGpodRM5JxLyVjkK/iroa1Othn6Za7Y1jUzC7H3aAxMD4RXlhZwfc/TuqzHxyYnglJzBzBWRk6jLlOSBiDH3mL2bPUYsGoELOy7oLTT1CPeAk6/ToHKNAaogdPiscPzy4C96Uz0n/kM111I+0X+jjJijSqNvrWnV+7rRdGQTmw1aGyJHERZsWIDilGK9T9qOXo5I/FsiTv/vtF43kG+ML1yDXA3HXUyJVdkgfT3XAMPXzJqLdY1hdnHh8XgYuXgklDIlLv/S2T3m5OuE+NXxSFmborcCVt12f7Bkjanpyj0WsywGyjYlLvx4ofN7B1lKshoej4f56+dD1iLDb//o7LJw8nVC/IPxSPlY/1yLuDUCxBHyf8838AFd/+BtbeUCqFa6k56ahEMvH0JVTlWn1yc9NQkKqQJn1nWu7FenJOft60XcxfYuWd/PtQFIn+wwZe+mco+VpZbpnbyTn5kMWbMM574819kgIR9CO+GgiruoMeYec/RyRNS8KGRvy9br7w5JCkFDYQMai/Vn+gxUXINcMevDWcj4LgOXfrnU6fWkfyWp5toXneea6xBX+MX6GQxQD8SVi5oZb8yA+1B3lXusw2rZJcAFcQ/E4dSHp/TWnUXOiUTN5Rq9NTFdJkLY8IKmz+eaIWywOh/oI3EBgICEAHgN90LOzpxOE9Q1yBWx98bi1Aen9N4oRU6GW8HY2gXuLsbcY6NXjEZbYxsu7e48sYeMHwK+kD/oXGMAMPa+sYicE4k9D+3p5PN2DXJF7MpYnHz/pN65FjE7Ann78/SniQ7QlQugSj1euGEhSs+W6s0OS3o2CZI6Cc591flGOeymYeCL+IMqa0xNn801wKaFVx99Ji48Hg/Ri6PBKTj9Kv9sEloqW5D2bVqn18TOYnDKwZWSrEbHPdZhEroEuCB8VjgyN2d2alYpchTBP84fhccN934aqPB4PMz9ci4UUgX2P7G/0+tTnpuimmvfdJ5rkXMi0VrditKzpXrPa+wJ3FaFRU3QxCBMemYSDr96uNOunO5D3TFmxRic+O+JTp037FzsEDo11GCAeqBljGnTV3PN2ArYFjPFgD4UF0CV2jh83nCUp5V3aornGeGJUXeOwon/nuh0oxTaD76UZG007jE93Y5j741Fa3Wr3qfG4MnBKDtbZrANz0DGdYgrbl17KzI3Z+LiTxd1XvOM8MSopaNw/D/HO13T4EnBsHOz0x+gNhKcJgObiNkaM16fAY9wD/x030+drs2UF6agqbRJb3+7iDkRuHbomt6knYFOn8y1AUifigsA+Mf5w3ukNy7uuthJLKa8MAUNBQ3I2pKl83d1SvJgaMFvCEPuMfdQd4TeEIrzm853yqgLTgqGUqZE2bnBk5KszZi7xyBqXhT2PLwHrdW6WTlTX5yKhoKGTsWofCEf4beE6w1QG40fWNlmVz1FaC/Ewg0LUZ5WjuP/0W394j3CG9GLo3H83eOd5mHk7EgopApcO3yt80m7qNK3xafwjph7rqnRu+Kzwep8oB/EhcfjYeTtI8EpuU6xAt8YXwyfPxzH3jnW6UYpchJBIVUMupRkNcbcY2NXjkVjSSOuHriq83f3oe5wDnAelHEXoN1l8cVcKOVK7H9c12XhG+OL4QuG49iaznMtck4kSs6UdC4c7GLlMhBukoAqXpf0XBKOvH4EFecrdF6b8uIU1OXXdaqx8h7pDbdQt27FXQaSq8zcc22gzCVt+lxcAJWPdsSCEajIqEBFZofJ+8IU1FyqwcVdusvLwZqSrI1ApNpit+Py2ivKC0GTgpCxMUNHeHg8HoInB6PwWOGA+iF3B5cAF8z53xxkbc3ChR26adtTX5yKmks1yNmZo/P3iFsjAALyf9NNE+1q5WKLT5OGmP7qdHhFeeGnlbrusYC4AETMjsDRt492mmsRsyOQuze301wbyDEXbcw51zToW7jY6INMv4gLoNoPwmeUDy7+dFHH3TVk/BAMu2kYjq05pjMh+UI+hPaGU5IHw+QFVAKjzz02duVY1F2t6xTAD04KRlNJExqLBldKsjYxy2IwYtEI7P3bXrRUXn9CHDJ+CMJmhuHY27pzzdnfGQHxAfoD1AYyxmz1B28IoZ0QCzcuREVmBY6+fVTntakvTUVVdlWnxJzIOZGou1KH2lz9bfoHA2adawOMfhMXHo+HkYtGAgRc/Fl3lTL1pakoTy9H3q+6S2xTWsEMdAy5x/zG+ME/zh/pG9J1Jm9gYiD4osGZkqyGx+Phts9uAxFh36P7dF7TzLUO7pyIORHI/y2/kxtDX8aYrVZMd0VgQiCmvDAFR988qtNkMSQpBKHTQ3H0raM6c23YjcMgEAs6B6gHaJW+Psw51/TNJ1uea/0mLoAqxXjEwhGozKzU8e2GTgtF0KSgTiovchKBU3KDMiNFG0PusbErx6I6pxqlZ66nNoocRAiIDxiUKcnaOPs5Y866Obiw44JOvCB0umqudbxRRs6OhKRWgpLTJbon0rdysdGiNlOY/vJ0+ET7qNxjWsW8U1+citIzpTo7M4qdxAidHtq9av2Bd8nMN9cwsAS5X8UFAHxH+8J3tK+Oe4zH42Hqi1NRdKJIpyGeyEEEvoA/6FcvwHX3mLbABI4LhPcIb6RvTNc5NjgpGGXnyga9KI+6cxSil0Rj79/3orlC1Q6dx+Nh6kvtc+3I9bk2ZMIQOHg6dHJXDKaVC6DKUlywYQGqLlThrzf/0vw97OYwBCYG4uhbui6zyDmRuHb4mmllAwPnvtkJs821AUS/iwuPx8OIhSMAHpCzK0fzQ42YHQG/WD8ce1t3H+/BtoGYIXh8HgQiATgFp3GP8Xg8jL1vLMrTynVWgiFJIeDknP5irUEEj8fDnE/ngMfnYe/f9mrmWuScSPjF+unEFvgCPsJnhXfOfhpkKxdAFcSf+n9TcfTtoyg9p5pD6htlwZECnVVx5JxIKGVKXDt0TfM3U/bCGWiYZa4Bna+ZDc+1fhcXQLWcHrFwBKqyq1CRobop8ng8THlhCq78eQUlZ0p0jlVIFToBbVu80OaAL+R3co+FTAmBxzAPndWLa7ArXIa4DOq4ixonHyfc9ultuLjroqaeSr1SvvKH7lyLmB2BsnNlOps+GVq5DPQ5OPXFqfAb7YefVv6kKcodPn84fEb56DwAekZ6wiPMY1AEqLuit3NtoGERcQEAv9F+8Bvjh4s/X9R0ER15+0h4DffSmbwiJxEAsNVLOx3dYzw+D2PuHYPik8WaLaZ5PB6Ck4JRdLxoQPlwe0r0kmiMWjoK+x7bh6ayJgDAyMWquabt5omYFQHwoLulrb7g9ABLQ9aHQKRyj9VcrsGRfx8BoJprU16Ygtx9uShLUxXq8ng8RMxp75mldY0GSzpyR8wx17Sx5QcZi4kLAAxfMBx8AR85O1XuMb6Aj6TnknBp9yVNryO+QJWSzOIuKvS5x8JmhsEl0EWnTUfw5GA0lzWj/lq9hSy1Lub8bw4EIgH2PLxHM9emPD8Fl36+PtecfJ0QmBioE6DW5+IhznZ/8N3BP9Yf01+ZjuPvHNc8dccsjYFHmAeOrbn+ABg5OxL11+pRfbHzBoEdGQzXradzTc1AEWWLiovYSYwRi0agOqca5Wmq1MfRy0fDLcQNx945pnOcrEU2YC56b9G4x9qzefgCPmLvjcW1Q9dQX1APQJVWKhALBt0eL4Zw9HbEbZ/fhsu/XMb5788DUHWZdgtx071RzolE/u/5192welYuA6WvmCkkPZcE/zh/lXtMqgBfyEfS80m4sOOCRkyG3jAUQnuhrmusQwuYwfTb7fFc04cNr5ItKi4A4DvKF/5x/rj0yyW0NbZBIBJg8r8mI3tbNmrzVMVZYmcxiKNB2SXZEAKRAETX3WMRsyPg6O2I85tUk1loL0RAYgCLu2gxctFIjF4xGr8+8SuaSptUc+3ZycjamqWZa5FzIiGtl6L4VDEAA8HpAdAR2VQEIgEWbliIuvw6HHr1EABV81SXQBfNA6DIUYShM4YOyhb8hujVXBsgWFxcAGD4vOHgC6+7x8bePxaOPo6aRnpCeyFLSe5AR/eYQCRAzPIY5P2ap/H1Bk8ORnlaud4NnwYrs9fOhtBeiF8e+gVEhLgH4uDo44hj76pulIGJgXD0duz0FD5YVy6AqlfW9Nem4+R7J1F8qhhCOyEmPzMZ578/r3G7RsyOQMFfBZr46WCNuWjTo7kGdFrx2aroWIW4iBxFGLloJKovVqMstQwiBxEmPTUJGd9laHZWFDmJOnVJHuyTt6N7bPj84bBztUPmZlU31uDJweAUnE6WymDHwdMBc7+Yi9y9ucjYmKGaa09PQsZG1Vzj8XmIuDVC5ylcO2PM1jcJ6ylJ/0pCQEIAfrrvJ8glcsQ/GA8HDwcc/6/qATBydiQ4OYerB692cabBQ0/m2kB6aLEKcQEAn2gfBMQH4NLuS5A2SJHwcALEzmKceF+1S57YSQxFm8K4f3IQIhBfd4+JHEQYdecoXP7lMlprWuEW7AbXYFcWd+nA8PnDEXtvLH598lc0Fjci8ZFE1Vxr35ExYnYEytPL0VjS3p9Ne+Vi49sb9xS+kI+FGxai/lo9Dr18CGInMSb8YwLSvk5DU1kTPCM84Rnpef0pXF+W3SC7ZkAP5hquXzNbL9a1GnEBgKh5URDaCZHzYw7EzmKMf3w8Ur9KRUtlC0tJNgCPp+sei14SDYFYoMmzZynJ+pn10SyIncXYvXo3xM5iTHhiAs59eQ4tlS0InxWuShNt73XHVi4qfKJ9MOONGTj5wUkUHi/E+EfHQ2gnxMkPTgJQxRDy9uXpn2uDePp1Z64NJKxKXEQOIoxcPBI1l2tQerYUEx6fAL6Aj5S1KeAL+BA5iFjcRQ/a7jGxsxgjl4zExV0X0dbYhpCkELRUtqDuSp2lzbQqHDwcMO+recj/LR9p36RhwhOquXbq41Nw9HJE0MQgHXfFYF+5qJn01CQETQjCz/f/DIFYgHGPjcPZz85CUitB5JxINBY3oiq7alBW6RuiO3NN56HFhqvzASsTFwDwHu6NwMRAXN5zGTw+DwmPJODMujOQ1ks1rWBsOcjVV2i7x2KWxoA4QvYP2QiID4DQXshcY3qInBOJsfePxW///A2yZhkS/5aIM/9TzbWI2RG48scVVTae9u+9fe4N1vnHF/CxYMMCNBY14sBLBzDxHxNBHCFlbQpCp4VC5Chi1fp6MHmuAQNGkK1OXAAg8rZICO2FuLDjAiY8OQGKNgXOfHoGYqf2lGQJS0nuiLZ7zM7VDsMXDMeF7RfAKTgEjgtkKckGmPXBLNi72WP3qt2Y8A/VXDu97jQi50SirbENRSeKdFvA2HDdgbnwHu6NG9+6ESkfp6A6pxoJDyUgZW0KlHIlht04TOcpnLljr2PKXNP3IGOrWKW4iBxEiF4cjdq8WjQWNSLugTikfJwCTsmBL+CzuIsBtN1jo5ePhlwiR86uHFVKcnp5p2w7BmDvbo956+fhyp9XcPmXy4hbFYeUj1LgFeUFJ18n1VO4VnDa1n/w5mLCkxMQPDkYP9//MxL/nghZswxnPz+LiNkRKDxWCGmD1NImWh0mzbV2BoIoW6W4AKqtfAPHBSJ3by7iH4qHtF6K1PWpEDuzDcSMoXaP2XvYI3JOJLK2ZCEgIQCkJL37RzBUfZ7iVsfhj2f+wOhloyGtlyLt6zREzI5A3r483fgBW7kAaHePfbsATWVNOPO/Mxh731icfP8khs4YCk7BqfZ96VClz0S567mmg43PNasVFwCImhsFoYMQJSkliFkeg5PvnQRPyGMpyUbQdo+NXq6avGWpZXAf5s5cY0aY9f4s2HvY4/CrhzF6+Wic+O8JhN0chsqsSjQUNwBgK5eOeEV64aY1N+H0J6cROj0UrVWtuHrwKrxHeutPhmAAMD7X1HV9AwGrFhehnRCj7hiFuvw6RMyKQFNZE3J+zAEA5uIxgto95uTrhLCZYcj8PhNBE4JYSrIR7FztsOCbBbh68CrchrqhqawJLZUt4PF5yP81X3UQW7l0YsLjExAyNQSH/u8QRi4ZiRP/OYHwWeEaFw+bb50xNtc0okws5tLneEZ4YsiEIajMrkTUvCicfO8kBCKBJu7CJq9+1O6xmGUxqp3x+EBrdStqc2stbZrVEjYzDAmPJODkeycRMTsCZ/53BkGTgjRxF7Zy6QyPz8OCbxeobo7goaGwAQKRAM1lzZq9mhidMTrXBghWLy6AKo1P7CyGzygf1F2pQ/4f+ZC3ypmwGEHtHnMLcUPI1BAUnSiC0FHIXGNdcPN/boajjyNaylW1QS5DXHD1wFUoZUrNFgds5aKLZ7gnZr47E9nbsxGcFIyLuy5C7CxG7q9s9WIMQ3NNIVPYfHU+YCPiIrQTInpJNEhBCJoYhNNrT4NTcCwluQvU7rHRy0ajqaQJzn7OOlvUMjpj56JyWZSllsEn2gdlZ8sga5ah6ESRzvbSDF3G/X0cht4wFLV5tajNq4X3CG/dADW7ZJ0wNNcKjxUOCEG2CXEBVE9HQZOC4BnpieqL1Sg4UsBSkk1AIBbAa7gXAhMD0VLZgorzFWhrbLO0WVbNsBuHYdyj41CbV4u6K3Ww97BH/u/5bOViBB6fh/nfzIesWQaXIS5oKm9C8aliNFc36z6JM3TQO9d+y4dSoYRCYdsPzzyyoW9dKVPi1EenkPZ1GoSOQtz5453wGObBniS7QN0Zef/j+yFvkWP2J7MRNjPM0mZZNbJmGT6P/Ryt1a3gi/lw9HbEg6cfBI/Pg9hJbGnzrJazn5/Fnr/tQQUqkIlMIBYQe4gRHBKMhQsX4tZbb4WDg4OlzbQq1HOtpaoFlYJKZPGzwE/gQy6X2/R1sylxAYC6q3U48MIBZG/PxvQPpiOdS0dVTRX8/PywdOlS+Pn5WdpEq0QulWP/Y/uR92ce5CPlaIxvZNesCwr+KsCG6Rs0/9/5WWfUUi38gth1M4RcLsf9o+5HSksK7n7wbtw08yY4OTkhLy8PycnJEAqFWLt2LQICAixtqlWRfzAfj930GHIDcnHPQ/cMiOtmc+ICADk/5WDr3VtR3lKOTdgEhUgBpVIJPp+Pp59+Gm+//Tb4fJvx+PULSqUSL9/9Mlq3tqIZzfhO+B2UHLtmXbHv8X04/b/TAIDf8TvSBeloozZ23QywYcMGrFu3Dv/5z3/g4uKChIQEAEBVVRVOnz6N8+fP49y5c9i0aRMcHR0tbK31sGHDBnzy8Sd474P3Bsx1s8lfxcbjG5HRkoEABCAUoZDL5eA4DgqFAu+++y5efPFFS5todbz00kt4d+u7qEY1POABN4Ubu2Ym8JfoLzShCTzwEI1oyJVsrhmiqqoKH374IV577TV88MEHmDdvHn7//XdUVFRg5cqVWLFiBUaOHAk7Ozvs3r3b0uZaDerr9u83/z2wrhvZGOXl5SQUCskd7vQv/IsexsPq0jbNP6FQSOXl5ZY21WpQXzMAFIEIeh7P0zRMY9esC9TXLQQh9CpepVfxKtnDnl03A/z88880c+ZMam5uppdeeolEIhH5+vrSuHHjiMfj0YQJE+jq1av0xx9/0IIFC0ipVFraZKtgoF43m1u5bNu2DRzHoR71SEc6/OGPSETqHMNxHLZt22YhC60P9TUDgHzkoxnNGIVROsewa9YZ9XUrRCEKUAAeeJiMyTrHsOt2ndzcXIwYMQKOjo54+eWX8eijj6KyshJnzpzBiBEjkJycjNDQUERFReHy5cuQy1mPQGDgXjebE5eKigoIBAIAwEEcRAtaMBRDdY4RCASoqGDVwWq0rxmBkI1s2MEOYlzPemLXrDPa120zNoNAbK4ZQSwWo61NleZeX1+PnJwczWs1NTXIzVUVVcrlcigUCpbl2c5AvW42Jy5+fn5QKlWb6iihxEf4CH/gD51jlEoly+TRQvuaAcBhHMbH+BgyXK8TYtesM56enpqnRDnkeBtv4xt8o3MMu27XiY6Oxrlz51BaWooHHngAv//+OyZMmIBHH30UdXV1WLlyJQ4fPozTp0/D19cXYjFL6QaA2NhYpKamDrzrZmm/XHfRjh8Y+sf84LqUl5eTQCBg16wbHDt2jCIiIoxeM3bdVDQ1NdGHH35IgYGBJBAI6KOPPqKVK1fSpEmT6MqVKySVSumll16ioKAg+uGHH2jcuHH0008/Wdpsq6G5uZlGjRo14K6bzYkLEdFzzz1n9Af/3HPPWdpEq6KtrY2GDh3KrpkJNDU10eOPP048Ho8mTpxIq1atYtfNAJWVlfTyyy+Th4cHCYVCuvfee2nTpk0UHBxMn332GRUWFhLHccRxHEkkEvrzzz9p0aJFNHnyZFIoFJY23yrgOI4+/PBD4vF45O3tPaCum02Ki1KppMWLFxMA4vF4JBKJiM/nk1AopOeee85msin6A4VCQUuXLiWxWEx33XUXCYVC4vP57Jrp4ffff6ehQ4eSg4MDffjhh6RQKEipVNJzzz3HrpsWV65coUcffZQcHBzI0dGRnnzySSooKNC8/umnn5JQKKTp06fTa6+9Rh988AE99NBDNGTIELrhhhuotbXVgtZbD1KplO677z4CQM888wwdPnyYQkNDB8x1s0lxISJatWoVRURE0Mcff0wvvvgiffzxx4PePdERjuPo73//O/H5fPrxxx+JSOUiY9dMl7q6OnrggQcIAN14442Un5/f6Rh23YgyMjJo+fLlJBAIyMvLi15//XWqrq7WOUYul1NsbCzFxcVRcnIyzZ07l5KSkmjFihV05swZ4jjOQtZbF6WlpTRx4kSys7OjTZs2af7e2NhIW7dupblz51JUVBQBoD179tjkdbNJcVEqleTr60v/+te/LG2KVfPKK68QAFq/fr2lTbFadu3aRQEBAeTq6kpffvmlTf6I+xKO4+jw4cM0e/ZsAkChoaH0ySefUEtLi97jP/jgA+Lz+XT27Nl+ttR2OH36NAUGBlJgYCCdPn3a4HF1dXUkFArp008/7UfrzIdNisuJEycIAB07dszSplgtH3/8MQGgd955x9KmWCUVFRV05513EgCaO3cuFRUVWdokq0KpVNLOnTtpwoQJBIBGjx5N33//PclkMoPvKSoqImdnZ3rsscf60VLbYtOmTWRnZ0cTJ06k0tLSLo+/6aabaNasWf1gmfmxSXF5/vnnycfHx6aCW/3J999/r/HjsidxXTiOo++//568vLzIy8uLNm/ezK6RFlKplL7++msaPnw4AaBp06bRvn37TLpGS5YsIX9/f6qvr+8HS20LhUJBzzzzDAGg+++/n6RSqUnv+/jjj0kkElFDQ0MfW2h+bFJcRo4cSffff7+lzbBK9u3bR0KhkO677z520+xAUVER3XbbbQSAli5dShUVFZY2yWpoaGig//73vxQYGEgAaOHChXTy5EmT379//34CQMnJyX1opW1SW1tLs2bN0qRpd+d3efXqVQJA27dv70ML+wabE5fLly8TANq1a5elTbE6jh8/Tg4ODjR//nySy+WWNsdq4DiOvvjiC3J1daWAgACbqhXoa8rLy+mFF14gNzc3EolE9MADD1BOTk63ztHa2kphYWF00003sQeaDuTk5FBkZCR5eHjQH3/80aNzjBkzhu6++24zW9b32Jy4vPfee2Rvb0/Nzc2WNsWqOH/+PLm7u9O0adNsLmWxL8nLy6MZM2YQAFq1ahXV1dVZ2iSrIC8vjx555BGys7MjZ2dnevrpp3scd3r55ZdJLBbTpUuXzGylbbNnzx5ydXWlUaNGUV5eXo/Po64lMhbvskZsTlymTZtGc+fOtbQZVsWVK1coICCAxo4dy/zd7SgUCvrggw/IwcGBhg4d2uOnxoFGamoqLV26lPh8Pvn6+tJbb71FtbW1PT7fpUuXSCwW08svv2xGK20bjuNozZo1xOPxaMGCBdTY2Nir8505c4YA0KFDh8xjYD9hU+JSVVVFfD6fvvrqK0ubYjWUl5dTeHg4RUREDMraC31kZ2fTxIkTicfj0RNPPEFNTU2WNsmicBxHf/75J918880EgMLCwujTTz/t9QqX4zi66aabKCwsjK2W22lpaaFly5YRAHr55ZfNUmTLcRwFBgbSP/7xDzNY2H/YlLhs2LCBeDwelZWVWdoUq6C+vp5iY2MpICCArl69amlzLI5MJqN///vfJBaLafjw4YM+VV2hUNAPP/xACQkJBIDGjh1LW7duNVs8Ljk5mQDQ/v37zXI+W6ewsJDi4+PJ0dHR7AH4Rx55hIYNG2ZTMS2bEpfbb7+dJk6caGkzrILW1laaNm0aubu7U2ZmpqXNsThnz56lMWPGkEAgoBdeeIEkEomlTbIYEomEvvjiC4qMjNR0Hfjtt9/MemOqr68nf39/WrJkidnOacscO3aMfH19KTQ0lNLS0sx+fnU2ni391m1GXCQSCTk5OdHbb79taVMsjlwup3nz5pGDgwMdP37c0uZYlNbWVnruuedIIBDQ2LFj6dy5c5Y2yWLU19fTmjVryN/fn3g8Hi1ZssRoBXhveOyxx8jZ2ZmKi4v75Py2xJdffkkikYimT59OlZWVffIZUqmUnJ2d6c033+yT8/cFNiMue/fuJQCUnZ1taVMsilKppJUrV5JQKKR9+/ZZ2hyLcvToUYqKiiKxWExvvvmmzWXTmIvS0lJ69tlnydXVlcRiMT344IN9mrl19uxZ4vP59MEHH/TZZ9gCMpmMHn30UQJAf//73/t8/i1ZsoTGjx/fp59hTmxGXB566CEKDw+3KZ+jueE4jp566ikCQJs3b7a0ORajqamJHnvsMU1b/MH6wHHp0iVavXo1icVicnV1peeee86kliK9QaFQUGJiIsXGxg7qWqqqqiq64YYbSCgU0hdffNEvn/ndd98RACopKemXz+stNiEuSqWSAgIC6KmnnrK0KRZlzZo1BIDWrl1raVMsxm+//UahoaHk6OhIH3300aBsAXT69GlavHgx8Xg88vf3p3feeaffUtDXrVtHAOjEiRP98nnWSEZGBg0dOpR8fHzor7/+6rfPrampIYFA0G9i1ltsQlxSUlIIAB0+fNjSpliML7/8kgDQq6++amlTLEJtbS3df//9RtviD2Q4jqPffvtNUxAaERFBX375Zb8mLpSVlZGrqys9+OCD/faZ1saOHTvI0dGR4uLidPaw6S+mT59Oc+bM6ffP7Qk2IS4vvfQSeXp6Dtpl+I4dO4jP59Ojjz46KN2Cu3btIn9/f3J1daWvvvpqUF0DuVxOW7Zsobi4OAJAiYmJ9MMPP1hkxbZ8+XLy9vammpqafv9sS6NUKjVbWCxdutTglgN9zQcffEB2dnY2UbtlE+ISExND99xzj6XNsAgHDhzQ7CI52HY9LC8vpzvuuIMA0Lx58wZVZlJrayutW7eOwsLCCADdcsstdODAAYsJ659//kkA6Ntvv7XI51uSxsZGWrRoEfF4PHr77bct+nCTl5dHADSb/1kzVi8u+fn5BIB27NhhaVP6nTNnzpCzszPNmjWL2traLG1Ov8FxHG3atIk8PT3J29ubkpOTB81qpba2lt58803y8fEhPp9PS5cutXh6tVQqpaioKJo6deqg+R7U5OfnU0xMDLm4uNDu3bstbQ4REY0aNYpWrlxpaTO6xOrF5cMPPySxWNzr/jy2Rk5ODnl7e9PEiRMHVZPOwsJCTVv8u+66q8/qBqyNoqIieuqpp8jZ2Zns7e3pb3/7W6+aHZqTN954g4RCIWVlZVnalH7lwIED5OnpSREREVaVkfjCCy+Ql5eX1YcJrF5cZsyYQbNnz7a0Gf1KYWEhBQcH06hRowaNf1upVNLnn39OLi4uFBAQQD///LOlTeoXLly4QPfffz+JRCJyd3enF1980ap6xOXn55O9vT09++yzljal3+A4jtauXUsCgYBuueWWXjX27AtOnTpFAPo1U60nWLW4qFPvPvvsM0ub0m9UVVXRiBEjKDQ0dNDEGPLy8uiGG24YVG3xT548SQsWLCAAFBgYSO+9957Vrc45jqPZs2dTSEjIoFk9S6VSWrVqFQGgp59+2ipXB0qlkvz9/enpp5+2tClGsWpxUW/XO1husk1NTTR+/Hjy8fEZFHtjKBQKev/998nBwYGGDRtGf/75p6VN6lM4jqO9e/fStGnTCAANHz6cvv76a5O3vO1vduzYQQAGzeZqZWVlNHnyZLKzs6ONGzda2hyjPPjggxQREWHVMTCrFpc77riDEhMTLW1GvyCVSunmm28mFxcXiwdw+4OsrCyaMGEC8Xg8evLJJwf0k7FMJqNNmzbR6NGjCQBNmDCBdu3aZdXZf42NjTRkyBCaN2+epU3pF86cOUNBQUEUEBBAKSkpljanS3755RcCQBcuXLC0KQaxWnGRSqXk4uJCb7zxhqVN6XMUCgXdcccdZGdnZ3MbAnWXtrY2+ve//00ikYhGjBgxoBtvtrS00Nq1ayk0NJQA0OzZs+nw4cNW/bSp5qmnniIHB4dBsZXD5s2byd7eniZMmGAzrVVaW1vJ0dGR3nnnHUubYhAhrAQiQmZmJpKTk5Geno7Kyko0NzfDyckJEokEDg4Oljaxx3Qcm0wmQ3BwMBYuXIhZs2bhqaeewo8//ogff/wRN9xwg6XN7TbGxnfrrbdqvruzZ89i1apVyM7OxnPPPYeXX34Z9vb2FrbeOKaOTZuamhr873//wyeffIL6+nrcdddd2L17N8aMGWOBERjG0NjGjh2Ljz76CG+99RaGDh1qaTN7TFffnVgsxosvvoj//Oc/WLlyJT7//HOrn49q7O3tMWHCBKxduxaHDh0yaV72NzwiIksboVAosG7dOnz99ddYvHgxJkyYALFYjPLycuzYsQMCgQBr165FQECApU3tNobGVllZie3bt+Py5cvIzs7G119/jQceeMDS5nabrsYnEAjw7rvv4osvvsB7772HMWPG4JtvvkFcXJylTe8SU8amPS8LCwvxwQcf4KuvvgIRYdWqVXj66aet8gZtbGybN2/GsWPHkJ6ejtDQUEub2iO6+u44jkNjYyOOHDmC999/H08++SR4PJ6lzTYJ9dg+/fRTLFu2DBMnTjQ6Ly2GxdZMWnz77bc0btw4yszMJKVSSatWraJhw4ZRSkoKSSQSeuedd2jx4sUWa7nQG7oa29tvv02xsbE2OTYi0747Nzc3EolE9NZbb9lUW3xT5+Xp06fpnnvuIaFQSJ6envTKK69YfX3OQP7NEXU9vjVr1pCDg4PVFEZ2B1v57iwuLpWVlTRmzBg6cuQIcRxHSqWSFixYQEKhUJPH3dbWRnfffTdt2bLFwtZ2j4E8NiLTx3fXXXfRe++9Z2Fru0d3xgaAgoOD6cMPP7SJnk9sXqrGt2LFCpsbny19d3zLrpuAkydPwsfHB6GhocjLy0Nubi6am5tBRCguLkZubi6Kiopw9913Y9euXeA4ztImm8xAHhtg+vjuu+8+nD592qbGZ+rY7r33XkycOBG5ubn4xz/+AWdnZ0ub3iVsXqrGd88999jc+Gzpu7N4QD83NxcjR47E888/jz179gAAJBIJlEolVq1aBYFAAFdXVyQnJ6OiogJyuRx2dnYWtto0BvLYgIE9vu6MzVbGpGYgf2/AwB6fLY3N4uIiFovR1taGIUOGYMSIEQCAvLw81NfXIzQ0FM7OznB2dgaPx4NSooRSpgRsYx50a2w88GwmoKimO+Pj8/k2NT42NtscG6fkICmXQCqVDrjxNZU2oe5iHaSwkbFZ0CVHRERHjhyh8ePHU21tLUmlUpJIJDRv3jwSCoV04MABkkqlJJVKKXlzMiXyE+lNhzdp/cT1tO+JfZSxKYOqLlYRp7TOugFTx7YleQvNS5xHp9edpst7L1NldiW1NVt/F+RDBw9RYkKiSd/d7OjZdHnfZZJLrK+dRkckdRL6/B+fU8LYBJO+u7sX3W0TtSu1+bV08sOT9ELcCxQ/Jr7rsW3ZQg8//LClzTaKUq6kkjMldPy/x2nzbZtpjesaug/32fz4pA1SunLgCh1dc5S2LtpK7w95n17DazY1NouvXBISEuDg4IBdu3bhvvvuAwDw+apQkEgkglgsRm1tLT5b+xlmDJ+B0ZNGQyFT4MofV3Bm3RkAgL2bPQITAxE4PhBDxg1B4LhAuAS4WGpIGkwd2+effo4nH34Srr6uqM2rRcnpEgCAo48j3Ie6a/6JncSWGooORIS8X/OQ/kw6ai7VYNfOXbjv/vsA6B/fF59+gTF1Y5A8JxkiJxEiZkUgan4Uom6LgqO3owVHch0iQuGxQqStT0P2D9mQtEkg8ZJ0+d19+vGniEiJwOdjPkfc6jiMuXsMHL2sZEwcoeR0CS7tvoRLuy+hKrsKAjsBwqeFg1fA63Js6z5chwWhC9Ba02o1Y+IUHMrSynDt8DUUHC5AwdECyJpkEDoIEZIUgsnPTsY072m4/1/3Y+ePO3H/A/cD0D++9evX49VXX7XkcAAASpkSFecrUHK6RPOv+mI1QIDYRYzAxEBEzI5A/bV6KP9S4q+cv7r8zVnD2CwuLk5OTlizZg1Wr14NOzs73H777YiIiEBiYiKcnZ1RVFSEZ599FnHRcZjITcSVA//f3lmHRZmuf/wzlJSihKBSChJKCIiB2GJ3d63bebb37Dm/rbNnw+12127X7sAOUBQQUASkpbtzZt7fHyOjSE2B7h6+18W1eyHzvM8788z7fZ77/t7fOxFjS2MGvjKQ3hN7kx+XT3pIOhnXM7i54SaXP7sMQCfrTnKi6TGgB928u9GhU9vG0wwNDVkxdAUfvf8RHfQ6MHNWw3t768230LquRb40H9O1pjhPdaa6pJqilCKKkosoTCwk43qGbLyHycauM3rGbU82GaEZnH77NElnk7AbZsd3r3/He9+8Rwf9pj87/xH+fHj+QwpiC4g9FEvcoTgOrjiISCTCxs8Gp6lOOE91xtzZvM3vpyy7jIjNEYSvDSc/Lp8uDl0Y/n/D8VzmyaTkSS2uy6Gjh7L0/5YSuSGSwLcCOf32aVxnuuL9tDf2I+wRabVtWKKmvIbE04nEHorl7pG7lOeUY2huiNNkJ0Z+MhKHAAf0jPXoE9yHlctXoqerx6zZsxq9t56GPak+Xs0PDj8w9J9DGfDyAHQNdNv0fqRiKZlhMjJJPp9M6uVUakpr0DXUxWaIDf7v+mM/wp7u/bsj0hJx+YvLnHnpDNPsp/HV6q/QN9Bv9LN78x9v4unkiZ+fX5vejyAVyL+bLyeRjOsZZIVnIamRoKWrhZWnFfYj7RnyzhC6+3anMq+S4K+DCV8bjrGVMQEfBjDKexQvvv5is9+5QYMGtfm9PYonoogS4MqVKzw3/zm6OnbFf6g/RsZGJCYmEhoayrx583j55Zfp0KED+XH5hP4RSsz+GHQ66OC20A2vlV507NYRQRAoTS8l/brsQ0sPSSfjRgY1ZTWIRCLMXczp7ttdTjiW7pZo62m3yv1IJVJCfgoh4WQC+MOaE2vQ19dn8ODBGBnVv7fZQ2dz6sVTFCUVMez/hjHgpQFoaT8Q8lWXVlOUXCT/qcyvBMDQ/JGTTSuSTVFyEWffP0vU9ijMXc0Z88UYnCY7IRKJuHLlCu+99179+0tI5PyR80weNZlP137aIKlYll3G3aN3iT0US8KpBMSVYkx7y8jVeaozNn42aOm0jphRKpGSGJhI2NowYg/GItIW0WdWH7xWeWE/vD4hPHxvgwYNwsjQiKTkpAbrEqA8p5yILTKiyovJo0uvLng95UW/5f3o2L31TtKlmaXEHYkj7lAciacTEVeJMXcxl5O29SDreusJQFwt5j239ziYfRD7QfaNrsuXX34ZcbGYC59cIPS3UIy7GTPqP6PwWOzRaqQpqZWQGZpJ8gXZyST1cio1ZTXoGuliO8QWuxF2MjLx6V7vu5sXm8eBZQfIuJ7BkHeHMOKDEVy9frXhukxM5EbIDWzSbRggHcCyE8vo7tO9Ve4FZJ+NnEhCMki/nk51cTUAZk5m9BjQQxZxGdADK08rdPR1kEqkxB6MJWh1EGlX0zB3MWfwm4PxWOyBTgfZeaCx71zC3QRCQ0OZv3B+vXX5uPDEkIu4Sszntp+jP16fWtdaKisrcXR0ZPjw4dja2jZITJVll3Fz402itkZRW1mL81RnfJ7xwdyl/u5XKpGSH5tfj3CyI7ORiqVo62lj1c9K9gH7ykJqpo6man9xJDUSLn9xmfRr6Qx+fTA9R/WktLSU4OBgQkNDG703cZWYCx9fIOTHEKwHWzN5zWS69OzS6PjVpdUUpxTLyaYirwKoTzYmdiZ06Kj+4qosqOTSfy8R8mMIBqYGjPh4BF4rvBo8+B+9PwcHByp2V1B0qYjnI56ns33nJq9RW1lL0pkk2anmcBxlWWUYmBrQe1JvnKc64zDOQSP3UpRSxM0NNwlfH07JvRK6unfF+2lvPBZ5YGDatF1G3b2dP3SeKz9fYdZHs5i2bFqj6xJkIbZ7QfcIXxvOrV23kNRI6D2xN96rvOk9sbfapCkIAjm3cuSnwPSQdERaImz9bWWEMsUZMyezZsc4/upxQn8LZf7Z+SSWJza5LuuQfzefM++d4c7eO1h6WhKwOgCHAAe17gNkZJJxI4OUCynyk0ltea2MTPxtsR9hj/0Ie7r5dENbt+FGUJAKhPwUwul3T9PJuhMzNs/AepC1/N+b+t6ZG5mzc8pOcm7lMO/APHqN7qX2vVSXVJMRmvGASELSKUkrAcDYyrgekXTv3x2DLvXXXG1lLRGbIgj+OpiC+ALshtkx+M3BOE1yavSZ9PC9lRaVEvdtHPNfn8+sz2Y9ESKFJ4Zc7uy7w77F+3gu4jnMejf/xXgYNeU13Np5i/C14ZRmlmI31A6fZ32wGWLT5BssrhKTFZFFekg6mTcySb+eTn5cPgD6nWX5mzrC6d5fufxNTXkNFz6+QH5sPkPfH0oP3x4KvxYg9UoqR545QkVeBaM/G02/Ff1aXChNkY2BmUG9k40yD2hxlZiQn0K49OklpGIpfm/7Mfj1wUrlfaqKq1jTbw3GVsYsv7i80YfDoxCkAhk3MuR5gpyoHLT1tLEfaY/zVGecpjhhYmOi8BwkNRJiD8UStjaMhFMJ6Bnp4bbQDe9V3rJQihJfwsywTH73+Z1nQp+hm7di1hpVxVXc2nGLsLVhZIZmYtzNmH4r+uG10gtTB1Ol7iPlYoqcgIuSi9Az1sNxgiPOU51xnOCocF4k9nAsO6fuZPwP4xn48kCF5wBwL/gegW8Fcu/KPRzGOjDmyzFYeVopdR8ZNzJkOZMLKaRekZGJnrEetv4PTibdvBsnk4dRnFrMwRUHSTqbxICXBzDm8zHoGioetqspr2H3nN0knUlixtYZ9J3TV6n7aDJPYqwnj47U/XTs0bHJtVaRV0HIzyFc/+k6lQWVuM50ZfCbg7EeaN3o3zeFvQv2kh2ZzfO3nm8nl4fx56w/qcirYPmF5Sq9XiqWEnckjtA1oeTeycWijwU+z/rgNMlJoZ1iZWElmaGZ8jhoekg6ZdllgOL5m8rCSs79+xzlOeWM+GgEFq4WKt1LTVkNp987zc0NN3EY68DEnycqR3BlNfKcTVFyERW5j5CN3X2yaeQeBKlA1I4ozr5/lpK0Enye8WH4B8MxtlStODDtahrr/dcz5O0hjP7vaKVfX5RcROxh2Q49+XwyUrEUq35W8pBPN+9ujX6R8mLyCFsXRsSmCCpyK7AebI33Km/6zu2rcvhQFXKp9/rwTMLXhRO5NZLq4mp6juqJ1yovXGe4oqPfMP1ZWVhJ/PF4Yg/FEn88nuqSajrZdJKHDu2G28nDJIqiJL2E3zx/w3aILfMOzFPpISQIArEHYzn9zmny7+bjucSTkZ+MxMS2IelLaiSkX0+Xk8m9K/eorahFr6MedkPtsBv+gEwUPdEJgkDEpghOvHqCDiYdmLZhmsonD0mthEMrDxG5LZKJP0/E93nfhteTCnKhTd2PPE+io4Wlp2U9IjFzNmsQhmwMBQkFBH8TzM0NNwHot6Ifg18frNSm42HcPX6X7RO3q7w+NY0nglzKc8v5weEHAlYH0P/Z/mqNJQgC967cI3RNKCmXUujYvSNeT3nhNt9NqV23IAiUpJXIiOa67JibEfpQ/sbVXB5K6zGgBwZmBlz46ALSWikj/zOSznad1boPgPiT8Rx78RjiKjHjvxtPn9l9VBqnSbIxrX+ySb+eTuBbgWSFZ+Ey3YXRn4/WSJL98ueXOfPPMywJXKJW+KGquIr4E/HEHYrj7rG7VBVV0bFHR5ym3M8tDLQm9nAs4WvDSb2cioGZAZ5LPfF6youufbuqfR/qkksdaitqid4bTfjacFIupqDfRR+PJR54r/JG11CXuMNxxB6KJeViCoJEoHv/7vJ7tPS0VHlXKpVI2Tx6MwXxBTwX8ZzaCjBJrYSwtWFc+PACVcVVDHx1IINfH0zB3YJ6JxNxpVhGJsMeIhMvxcnkYZRll3HkmSPEHorFc5kn478fj76Jek7GglTg1JunuPrtVYZ/MBzvZ7xlEY2Hku5VRVUAmPY2rUckVv2sGt0YNIe0a2kErQ7izr47GJoZMuDlAfi+4Ku2clIqlvKN9Te4LXBj/Lfj1RpLE3giyOX6L9c5894ZXkl8RaOSx9w7uYT+Hkrc4Th0DXVxX+SO1wovjLoaqTSePH8Tki7P4dTlb0CW83CZ7oLdMDu69++ukfxNZUElJ/9xkui90bjOdGX8d+ObzQ8ogprymnphtOyobBIDEylMKMTMyQz/9/xxmeGi9pe2DoJUYOu4reTcyuG5iOdUfv8fhqRWQurlVGIPxRK9O5rS9FL5v1n0sWDgawPxXOqp9M6+OWiKXB5G7p1cLn16iZj9MdRW1AIg0hHRa1QvXGa64DTZiU49OmnkWhc+ucCFDy+w9OxS7Ifba2RMcbWY5PPJXP78MqkXUxGksseJXkc97Ifby8nEqp+V2rmmO/vucOTZIyCCKb9PwWW6i9rzr8uTpF1LI2prFLm3c+X/ZmRphPVA62bzJIpCkArEHY0jaHUQqZdSMXU0ZfAbg/Fc5qlRBd7J108StS2K19NfbzVBjKJ4Ishlvf96OnbvyJw/57TK+KWZpYSvD+fWdlly1WWGCz7P+GDqqNrx82GkX0/n9DunEaQCxt2Myb6ZTf7dxvM3PXx7YGylWngpek80J147gU4HHSb+MhHHcY5qz70krYRz/z7HzY03MbE1wX2xO516dKI8p1w2/y769U426pBNaWYpv3n+Rvf+3Vl4ZKHapFtVVEXU9ijC1oaRFZ6FoYUhXd26UlVcRVZ4FgA2fjbyEJKZs5nacWhNkUtjcmEDMwMsPSypLq4m62YWOgY6uM2X5YZ6DOyh9txTL6eycfhGhv5rKCM/GqnyOOJqMenX0uXS4LTgNMRVYjqYdKDHgB5Ul1aTEZKBiZ0Jo/87mr5z+2rksz7+ynEit0TiMsOFyb9NVmmDIqmRkB2VXS/hnnsn90GepH93tPW1STiVQO+JvZmzew66+uo9+MXVYiK3RhL8VTB5MXlYD7LG7y0/nKc5KxQ6UxaZ4Zn87v07C48upPfE3hofXxk8dnLJi8ljjfcaZu2Yhcs09XcizaG6pJqo7VHc3HCTsuwyeo7uic8zPvQYoNqXN/VKKkFfBmHhZsGwfw2T70AqCyofqEauZ5BxPUOevzGxMaknh+7m3U3hRHtpZinHXjxGwqkE+i3vx5jPx6iUP6gqruLKF1e4+u1V9DrqMfyD4fg84yNPoNZW1NYLo5VnP0Q2dg+RTWflyCb+RDzbJmxj7NdjGfz6YKXnLQgCqZdSCVsbRvTuaCS1EpynOOO1ygvHcY7ynVpryZzVIRdl5MLF94plqrZ14RSnFtPVrataBZqVBZX81u83Ott3ZtnZZUrdu7hKTNq1NHnRYtpVGZnod9aXhblG2GE/3B5LT0v5/HOjczn97mniDsfR3bc7AasDVD4pJQQmcGjlIapLqpnw4wQ8lngo9F0VhPp5koyQDDLDM5FU38+TeFjKTyQ9BvTA3MVcPv+YAzHsmb8HW39b5u2fp5JSsbKwkhu/3SDkhxDKsspwnuaM31t+2A6xVXosZSAIAr95/IZFXwtm75zdqtdqCY+dXM59cI6wP8J4NelVjYYwmoOkVkLswVhCfw8lPy4fK08rvJ/xxnG8o8K7ifgT8YT8GILtUFv83vRr9gsrCAIl90rkobSM6w3zN/LTzYAedHXr2qRSRhAEbm68yZl3z2BobsjkNZOx9VdswUpqJNxYc4OLH1+kpryGwa8PZsjbQ1osLq0jm7pQWlmWjCj1Oz9yslGAbE69eYprP1zjqeCnFK4vaKzQ0XuVN57LPFsUOrQocx7roHBxrTLkIggCOVE5ctVbxvUMmVx4qK1c9daSKlIqkZJ0JomwtWHEHIhBJBLhOtMVr1Ve9BzZU6ETgSAI/DnrT5LPJ/NcxHMtKu3EVWLSrqY9OJlcTUNSLUG/i4xM6qTBXd27tvhdSb6QTOBbgWRcz8BpshOjPx+tcO6rpryGwLcDufHLDXqN6cXU9VObnXtZVlm9hHtzeRJLT8sWQ1EpF1PYMWUHpr1NWXR8EUYWip2UilKKuPrtVcLWhiEVS/Fc6sngNwa3aYHwlS+vcP6D87yR9YbGQtuq4LGSiyAV+MnlJxzHOzLhhwltf31BIPl8MqFrQkm7moaJrQneq7zpM6dPk4tPEARu77pNxOYInKY40f+5/iqdehrkb0IyyI6S5W90Ouhg1c+qnp2NqaNpvesUJhVy5NkjpAWn4fuSLyM+GNFkYlEQBKL3RHPmvTMUJRXRb0U/Rnw0QuVYfm1FLcWpD3I2ZdllIMjIxsTOpB7ZPPreSGokrB+ynqqiKp4Je6bJXaFUIiXhVALha8OJPXS/0HF2H7xXeWM3zE6lUIsgFcgIzZDXh2RHZqOlq0XPkT3l9SGNKZ7q0BK5PCwXjj0US3FKMXod9XAcr7xc+FGU55YTuSWSsD/CyIvJo3PPzvICzeY+x+u/XufYC8eYt39eozmK2spaOZnUnUwkNTIysR9uL5cGW7pbqvaeCwLRu++vveQi+q3sx8iPRjZbVHov6B4Hlh2gJL2EgNUB+D7vW+/a1aXVcmVn3U/JPVk9iZGlUT0i6d6/u8o5yqyILLaN34ZeRz2WnFrSbK1WZngmQauDuP3nbTp06oDvC74MeHmAyipLdVCSXsK3Nt8y5Y8peD/l3ebXr8NjJZfkC8lsm7CNZWeX1St8ehzIjswm9PdQ7h67i76JTL3jucyz3sNAEARCfw8l9mAsHks8cJvvplE9eW1lLdkR2Q/k0NfTKYgvAMCgi0F9/7T+3TG0MOT6z9e58NEFOtt3ZsofUxo89FIupRD4ViDp19LpPbE3Y74YQ1c39ZVTj867OKVYHkory5KRTQeTDg1ONiKRiIL4AtZ4rcFlugsztsyoN1ZRShHh68O5uf4mJWklWHpY4v20N+6L3FVOpjYFZWXOjZFLY3JhE1sTubpLFblwc2hQoFktofekxgs0s6Oy+cP3D7ye8mLSz5MA2cbgXvA9edFi+rV0JDUSDMwM6p9M3LpqtApfXC3mxm+yU7O4SszgNwbj95Zfvc2FuFrM+Q/PE/RlED0G9GD6pul07tmZnKicekSSG10/T/JwTUknm04a/U4WJhayZewWaitqWXxyMZbulvJ/EwSBhJMJBH0VRNKZJDrbd2bQ64PwWuH1WKyZHsaWgC1IaiUsP7/8sc3hsZLL4WcPc+/KPZ6PejKKfkAW7w5fF87tXbcRpAKus2Q+USY2JgR/E0zKhRR8X/Rts2RZZUElGTcy6jkM1CXcTWxN6OHbg062nYg/EU9xSjH+7/rj95YfhQmFnH7nNLGHYunm042ALwPoOapnm8y5tvKRk00d2XTqUE/2fPS5o0zfNB23+W6yQsc/wkgIVK/QUVU0K3Oe4kzPUT3Jjc7ld5/fmXdgHoWJhcQdiiPl0kNy4fukZOmhulxY2TnXFRBn3MiQFWgu74fXUzI7pN/7/45IS8SYL8aQdjVNdjK5loa0VoqBmUG9k0nXvpolkybnXFTF5S8uc+27a+h11GPEhyPwftqb3OhcDiw9QO6dXFxmuGDU1YjMG5kK50laE2XZZWybsI2ipCIWHF5AjwE9uLXzFkFfBZETlUM3n274veVHn1l9HrtCqw4RWyI4sPQArya92uyJqzXx2MiltqKW7+y/Y+CrAxn2/rDHMYVmUVlYSeTWSCI2RlCRX4GBqQF6xnqM/mx0qyflmsOj+Zv0kHQyQzOpKa+B+5+kdgdtxFVijK2MGfPFGDwWtZ4XlCIQV4nrkU1pZikIEL03mrw7eega6lJTWiMrdHzam75zVC901AQktRLuXbknC28djKUwsRAdAx2MLIwoTi0GZO9xr9G9ZO7OGpQLq4qsm1mErQ2TF2jqGevJ1oQWIJHJ5OtkwfYj7LHoY/FY10TxvWIC3wzk9u7b6OjrIK4Uy+Z6v3GiqaNpfd+tflZtbpr5MKpLqtk+eTtpwWl06NSByoJKHCc44veWn8yg9AnZHNehpqyGryy/wv+f/o/t+frYyOXWrlscXHGQF26/0KSH1pOA8txy9i/dT+aNTLT0tLAZZIPPsz70GtPrsX45H4ZUInOOvfSfS8QdjUOQyD5SkZYIHQOdBv5pXRy6PLYvQ015DVHbo7jx2w2ywrJABLqGungs9sC0t2m9MJqBqcFjnWfi6URiDsYQdzCOyoJKRNoi2XsrAuuB1rjMcNGYzFnleZbVcC/onrxoMe1amvzzB9l76zLDBb+3/bDyUNympTXm+ajvVh1R16GTdScGvT4Iz6WeT4zFP8gk+1e/v0romlBqymoAGPnxSIb968nbFD+M/Uv3k34tnRdjXnws6/OxkcvOaTupKath6Zmlj+PyCqE8t5yz75+lpqyGER+NoCi5iNA1oWTcyKBLzy54P+2N6yzXNlO5NQapWErYujDOf3CeqqIqBr4ykIGvDST462Bu/HoDE1sTLFwtyL2TWz9/4/ugMKy7b/dWTTwKgkBmWCZha8O4tf0W1SXV9Arohfcqb0zsTNgwdAPuC91xX+QuO9lklMp7WTzcYsDArHXJpjRDJheOPRRL0pkkmVzY1VwuYdbS1WLtgLUM+79h5ETmkHAqgdqKWrnM2WmKE7ZDbFs1NFJTVkPqlVQ5mWRcz0AqlmLU1Uh2InGzIGh1EI4THBn58UhubrjJzY03Kc8up8eAHnitkrlVaMIItClIaiX18iQZ1zPIjc5FkAroGunKTShTL6Vi3N2YmVtnUltRy+m3T5N1MwvXma6M/mx0i+abrY3sqGyCvwomansUuoa6+Dzng++Lvlz+72VC14Qy5ssxDHlryGOdY3NICExg69itrLq2ih4DlPM41AQeC7mUZZXxg+MPTPhhAl4rvdr68gqhOLWYs/86i5aOFqP+M6qeuiUzLJMba26QeCoRA1MDPJd74rHYQ+MJ5+YgCAKxh+77O8Xm47HEg5Gf1LedSbmUwpFnj1CZX8mYL8bQe3JvssKy6vmnlefWz988XH+jbmiqsrCSqO1RhK8NJ+tmFh17dMRrpRf9VvSrd1q9+v1VTr52kgVHFuA0yQlx9YMwWnFKMaUZpQhSAT1jvfonGzXJRlm58KMJ/drKWpLOPiRzzixDv4s+TpOccJrqhOM4R7V7CFWXVnPvyoOTSfr1dASJgJGljEzqQl3mLuZIxVI2DttIWVYZz958Vi5DldRKiDsSR/jacOJPxGu0QFMQBAoTChv4bomrxIi0RVh61Pfd0jXW5cjTR0g8nYjvi76M+WKM3JZJkApEbovk7PtnKc0oxedZH0Z8MEIjjg7K3E/yuWSCVgcRfyKeTtadGPjaQHye9pF/loIgcP6D81z85CKD3xxMwJcBT1xYDGQRje9sv8NlhgsTf5rY5td/LORy7YdrnPu/c7yW/JrShXhtgdw7uVz48AIG5gaM+mRUk1LGwqRCwtaGcWfPHURaIvrO64vXU15KufaqgrRraQS+FUjqpVR6ju5JwOoAunk1XndRXVrN6XdPE7EpAsfxjkz8aaLcJUAQBIpTixv4p9VW1CLSEmHhaiFXp/UY0AOLvhYtOtXKCx3/CCN6T9OFjo++ZufUnaRdTeO5iOcayFTF1WJK7pU8yNk8QjZ18mdDc8MWv+TqyIWbkyKrK3OuQ3VJ9YOTyfkUMkIzECQCxlbGMjK5X7TYWCjuzD/PcOXLK6y8vLJJ9WXxvWJubrxfoJlSjEVfC7xXecsKNBXwtirLLpNvTOp+qgpl9SRdHLrU993yepAnEQSByC2RHH/lOHrGekzbMK1Jy35xlZhrP17j0qeXECQCQ94ZwqB/DGrVTqxSsZTbu28T/FUwmWGZWHpYMvjNwbjNd2tyzV/78RonXj2B51JPpvwxRSHX77ZG4NuBhK8P542MN1qtd1VTeCzksnbgWkwdTZm5bWZbX7pFZNzI4NKnlzDtbcrwD4YrtKAr8iuI2BxB5OZIqoqr6D2xNz7P+GDpYdnia5VBQXwBZ/55hujd0XR17yrrqTHWQaFd093jdzn24jGktVLGfz8e15mujf6dVCwlLyZP3mgtPSSdnKgcpBIpOvo6dPPqVk8OXZe/KcsuI2JTBGFrwyi4W4Cpoyleq7zot6yfQpY3FXkV/Ob5G2bOZiwJXNKsCqge2aQUUZpeKg+5PHyyqSObyoJK7h6/S9yhOOJPPCQXvq/ush9ur9AXT5kiSrnM+XAcyecekTlPuS9z1hLJyORyqrxoMTMsU0Ym3YzlyXe74XaYOTWf10k8k8iWgC2M/u9o/N/1b/FeBKlA4plEwteGc2f/HUQiES4zXPBe5U3PUbICzebyJIYWhg18t5oi5fKcco48e4SYAzF4LPFgwg8TFNpUVuRXcOnTS4T8FIKhuSEjPx5Jv+X9NBp2rCmrIWxdGFe/vUpxSjG9xvTC7y0/egX0Uuh7dWvnLfYv3Y/jOEdm75qtlOV/WyDnVg6/uv/KvAPzWt0B5VG0Obnk3MrhjwF/MGf3HJwmObXlpVtE0rkkrn5zle6+3fF/119ppq+trCV6dzRha8MoTi3GepA1Ps/6NOhuqCzKc8u5+MlFbvx6A2MrY0b+ZyQeiz2UlmFW5Fdw8rWT3Nl/hz6z+zDu23EKhfJqK2rl/W/qHAYKEmT5Gz1jPXT0dSjPKUdLWwvnac4MeHmArNBRyVBB0rkkNo/ezMhPRiqlcJHUSCi+95AaLb2UirwKCpMKKUosIjcmF6TQzacbztOcVZYLq2r/UlVcRcLJBNmp5kgc1cXV6BrromugK+u9I0DH7h3rnUxMe5sqPL/ynHJ+8/yNrm5dWXxysdJrrTy3nJsbb3Lj1xsUJcn6xOga6spCpoJMFCCvsbp/KjGxNVFofnf23zebFGDymslNbmqaQ2FSIWffP8utHbew6GshC/FO7K1WKKosq4xrP17jxq83qC6pxm2eG4PfHNxkBKA5JJxKYNfMXVj1s2LB4QVtGh5XBGu81tDFoQtz98xt0+u2Obmc+ecZIrdE8krCK21+TGsOMQdiCP09FIexDgx4eYBa+nmpRErCyQRC14SSFZGFWW8zvJ/xxmWai1L3XFtRy9Xvr3Ll8ysA+L/nz8BXB6olyayr1j/5j5Po6Osw6ZdJOIxVrqNgUXIRIT+HyGTaeRXoddRDJBLJpK9AZ7vO9f3TvBTP35z991kuf3aZFRdXYONno/CcpBIp6SHpcvlw3p08tHS1MHcxp7N9Z0wdTTHuZlzPG83QouUw2sNQqVlYUVWDkwkC6Brpyt6zMlk/eIdxDjhPdab3pN4KW42A7ASyffJ2Mm5kyEKKCvT9EQSBwsQHeZKMkAwywzIRV8nkwAadDaguqUYqkWI31I6Brw7EaYqTUmGfqqIqTrx6gojNEThPc2bymslqi0YybmQQ+FYgyeeTsR9hT8DqALr3V65FcV5MHkFfBRG5JRJtPW28n/Zm0GuDFApZNof0kHS2TdxGx24dWXRi0WOXpj+M4G+DOfPuGd7IeqNNia9NyUUqkfJj7x9xme7CuG/GtdVlm0Vd46Hbf96m79y+eC7z1FhyThAEMq5ncGPNDZLOJGHU1Yh+K/rhscij2USvVCIlYnOEvPGY7wu+DPvXMLX7PTyM0sxSjr1wjITABLxWejH6s9HNhgDF1WJiD8l6pSQEJqBnrIf7Qne8V3nTzUf2oC1OKX5Q8Plo/qaPhTx80lz+RiqWsnH4RkrSSnj25rPNfhlqymtIDEyUnwgqciswtDDEabIs3NVrTC/0jPWQ1EgoSXuQsylJL0GQCOga6tazqzHqatTsZ68IuVQWVpJ6KVXeAz4zXEYmnaw7PTiZjLCnSy+ZoCHvTp48/5N2NQ2QuTnXVfibu5g3O6fgb4I59cYpFh5bSO8JjRf2lueUN/DdqiyoBBrJk/SzQtdQV2byuiPqQYGmlTGeyz3xfsq7RTfxxNOJHFxxkOqSasb/MB7PpZr9TsUfjyfw7UByb+fiNt+NUf8d1Ww5gyAIpF5OJWh1EHGH4zC2MmbgqwPxedZHow/bvJg8to7bCiJYfHJxm/qJNYeyrDK+6fENE3+ZqHa/LGXQpuSSeDqRHVN3sOLSCoVNC1sTUomUkB9DSDiVIJMVz1D+yK4o8u/mywwI98WgraeN2wI3vFZ61UteC4JA/Il4Tr99mpxbOfSd25dR/x2lcme6liAIAuHrwzn7z7MYWhgy5fcpDU4LuXdyZcV5myOpyKvAxs8Gr1Veso6OLeSjHs7f1BFOzq0m8je+3enSS5a/KUopYk2/NfQc3ZM5u+fUezA9LBdOPJ2IpFpSTy7cY2CPFk+dktpHyCZNRjY6Bjr1cjaPkk1T9i8pF1PkdipZN7NkZGLTSZ4zsR9hT+eenVt8wJbnlBN3VOacLJc5O5rKc0OPypwzQjNYN3gdA14ewLivZZu1mrIaMsPq+24VpzzIk9Tz3fJtOk/yMLJuZhG2LoyorVFUFVVhP9Ie71XeuM6s30GztqKWwHcCuf7TdXqO6sm0DdPUPhE0BalYys1NNzn373NU5FUw4KUBDH1/aL37kUqkxOyPIeirINKvpWPuao7fm364L3JvtfKBkrQSto7bSnlOOYuOL1L6ZNVa2DZxG9XF1ay8srLNrtmm5HLwqYNkhmbybPizj126J6mRcPnzy2Rcz2DQPwa1mTVKeY4svh25NZLailqcJjvh86wP4koxgW8FknQ2CduhtgSsDlC6h7aqKEwq5PDTh0m/ls6AVwYw+PXBxB2OI2xtGPeu3JN1dFwm27Va9FGtdXMdaitqybr5kBz6ejqFiYWArDNmD19ZVbakRsLl/15m0q+TsB5sLe/OmHE9A5G2CFt/xd2FW0KzZPNQGK0kvYQ/+v9BwFcBlKSVkHI+hawIGZmY2JrUO5l0tm+ZTJp9n1qQOdv42bBxxEa0dbUZ8NIAOaHk3r5fT2Ioqyd5mExM7BTLkzQ3pzv77hC+Npzk88myDpqLZR00aytqObDsAMWpxYz5cgwDXhzQJkXGNeU1XP32Kle+uIJIW8TQfw7F6ykvbu+6TfA3wRQmFGI33A6/t/zoPaF3m8ypsqCS7ZO3kxOVw7z98+g1RvXuq5pC1I4o9i3cx8vxL7faZvVRtBm51JTV8J39dwx5ewhD3n68hUc15TVc+OgC+XH5DPvXsMeyu6gpr+H2rttc//k6ebF51JbXYmJnwvgfxuM8xbnNyVcilnD67dNc/+U60lopglSQFTo+7Y3zVOdWLRStyKuQK9Pq/luRWyHvaggyuxUbPxvcF7njOsNV7W6czUFSK6E0vZSi5CJybuVwL+gehYmFFMQXUJkvCyd1su6E/Sh7eo7sKSeT1oIgFUi/kU7k5kjijsTJTyJyaIGVh1W9hLuFq0WrFnPm380nfF24vEAToLN9Z+bsmfNYohLlOeWcfu80ERsjANmp3HWWK0PeHkIP37YvIKytqGX3nN0kBCYwc+tM+s7t2+ZzeHQ+X1l9xeDXBzPiwxFtcs02Ky2POShr4+o2362tLtkoKgsqOfvvs1TkVjD6s9FYuKq3E1cVkmoJudG5ZEdlo2ekR2e3ztSU1hD6WyhIwWmyU5uY4NUVOob9EUZ2RDaGXQ3R0dOhqriKnqN64jrDtdXnYWguC9dU5FeQezuXmvIaBKmAgakBtRW1CIKAtp42KRdTSL2cSsiPIfX73/TtqrE5VuRVkHIxRV60mB2ZDUBH646YOZmRFpyG+2J3TB1M0dHXQbuDNqWZpWh30MbY0lhjO+PynHLSr6fXkwHX5Un0TfWpKqjCyMqIyrxKpGIpgiBgbGmMladVm5hQmvU2w32hO3eP36UitwLT3qYU3C1g4/CN9J3XF+9V3lgPsm6TTVJBfAHB3wRza/sttHS16GTdicKEQgruFsh7urQ1dA11mXdgHodWHmLP/D1U5FXg+4LvY5lL3Xz6zO5D5JZIhn8wvE0+lzY7uWyftB2pRMriE4vb4nKNojSjlLP/Oou0VsrI/9SvZm8riKvEhPwcwqVPLyGpkTDk7SEMfn0wuka63Au6R+iaUFIuptCxW0e8nvLCbYGbxovHBEEg5WIK4WvDid4TjVQsxWmKE96rvHEY54AgEbj8xWWCvwrGqp8VU/6Y0ipWHAXxBXLL+6bchXOjc/mj/x94LPVgwEsD6rkL5N7ORSqRomugi5VXff80RXIcIJPhPkwmOVE5AHTp1UUuC7Ybbkdnu87ynMuqa6swsjR6EEa7VyLrw6Ov80AgYNcZYyvFyKam/EGepI5IipKLgAfEW3cqMTQ1ZNPoTfSZ1Yfpm6bXkznfPXrfzbl7R7kgoOeonk32+VEVUomUoK+COPfvc5g7mzN983S6eXWjJK1EXqBZlFyERR8LvFZ54bnEU6NilDqkXU0j6Ksg7uy7g6G5IQNeHoDv874YmhtyL+gegW8Fci/oHg5jHRjz5RisPNveW02QCpx66xRXv7nK8A+Gt9mDvTEkn09m08hNrLi8ok3Md9uEXErSS/jJ6Scm/jKRfsv6tfblGkVBQgHn/n0OPWM9Rn06Sim5pyYgSAWidkRx9v2zlKSV4POMD8M/GN6oPDMvJk/WN+ZQLLoGurgvdqff8n5qSznLssq4uUn25Vek0DHjRgaHnz5M8b1iRnw0okHTJmUhlUhJv5YuV0fl3cmTuQuP6SXLn0x2arSJ1I01Nzj63FHm7JlDn1l95L+vKa+R528yb2TWy98Ymhk+8E/z7U73/t0xsjCiPOcRMrl1n0wcujywUxlu32giuim1mFQspSS9RG5XU5xa/IBsbB+o0YytjBGkAjm3HulPomCeRFwtZr3feqpLq3k27NkG8u56bs6HYilMKJTLnJ2mOOE0yUltK5WC+AIOLDvAveB7+L3lx8iPRzYImTZaoDndBe+nHxRoqgpBKhB3JI6g1UGkXk7FtLcpg98YjOdSzwYSfUEQiDkQw5l3z5B/Nx/PpZ6M/GRkqztoNJizIBC0OojT75ym//P9mfDjhDZpFdBgHlKB73t+j+MERyb/NrnVr9cm5BL0dRCXPr3Ea8mvqe21pAqyI7O58NEFOtl2YuRHI9t8Dklnkwh8K5DMsExcprsw+rPRmLu0LFMszSwlfH04t7bfQlwtxmWGCz5P+yh1iqiruQlbG0bc4Ti0dLToM7sPXqu8FCp0rK2o5fyH57n+y3Xshtox6bdJSp34WpQLB/Rq8WQmCAK75+wm6UwSz958ttnr18vfXM8g7VoalfmVCIKAlo4W0lqZp3vHHh3pOaYnDmMcsBtup9ADR9E6F6lYSmlGKYVJhfKi06LUIsoyyyjNKJXNQQu6unXFeqD1gzxJn+bzJCdfP0nITyGsurpKoTbLeTF5cjuae8H3ALAZbCM/GbYkc350vBu/3iDwrUCMuxkzfdN0hXa/5bnlRG6930HzTh6d7R/qoGmteC2IuEpM5NZIgr8OJi8mD+vB1vi95SczFFVAHRi2NowLH16gqriKQa8Nwv9d/za3ngpfH87hpw/jOtOVGVtnPBbD2zPvn+HGLzd4I/MNjZ9oH0Wrk4sgCPzR/w+6unVl+qbprXmpRpF6JZUrX1zB0sOSoe8PbdOeENlR2Zx+5zTxx+OxHmRNwOoAhfvdP4zq0mqitkdxc/1NyrLL6DmyJz7P+jRrOliULOvoGL4+nNL0Uiw973d0XKhaR8fkC8kcfe4olYWVBHwZgMcSjyavXZpRKrc+UVUu/CgqCytZ028NnWw6sfz88iYfwmXZZXJZcPL5ZPLu5AFgZGWEUVcjpDVSiu8Vy4wVtUR07du1vn9aMw/4lsilPLe8ge9WnQDAxNYEU0dTjCyN0DPWw9DcEL2OevVONh27dWxyV3/32F22T9rOuG/HMei1QUq9d6C8zPlhlKSVcOipQyScSqD/8/0J+DJAaVNTQRBIC04jbG0Yt3fdRlwlxnGCo6yD5qTeTRZoVhZUcv3X64T8GEJ5Tjku01zwe8tPqQLbOlSXVhO0Oojgr4PR0ddh2L+H0f/5/m36kI89FMueeXuw8bNh3oF5repO3RjyYvL42fXnBlGA1kCrk0vWzSzW+a1j3v55OI5zbM1LNcDd43e5/tN17IbbMfj1wW3WJa4krYRz/3eOmxtvYupgyujPR+M601XtWKukViLr2Ph7GHmxeVh6WOLzjA+O42WGkOJqMbEHYwlbG0bi6cQGhY7qXr+6pJrAdwKJ3BJJ7wm9mfDTBIwtjREEgezIbPkuOeOGTC5sN9RO7qXVUuGdIrgXdI8Nwzbg/54/oz4ZBchCfckXkuVGj3kxMjIxczKTy4Lth9vXC7dJxVJyo3PrNVzLuZUjC00Z6NLNW1Z/071//fzNw+Ri5mymcJ6kh2+PejkHqUR2sqnL2RSnFiOtlaKtp10/jNbNGC1tLUozSvnN8zd6DOzBgsML1P4cm5I5957YW2beOV7m5iwIAlHbojj20jH0jPSYun6qRr7D1SXV3Np5i7C1YWRcb7xAsyi5iOBvgwlfF45ULMVzmSeDXx+skcLE0oxSzn94nvB14ZjYmTD6s9H0ndu3zXIhKZdS2DFlB6YOpiw6vqhNXZ8B/vD9g47dOzL/4PxWvU6rk0vg24Hc3nWbVxJeabOHuyAI3Np5i8gtkThPdcbnWZ82azt75csrXP32KnpGegz/YDg+z/po3C21LiEfuiaUe0H3MDQzxNDCkIwbGVTmV2IzxAbvVd70mdOnVZxk447GcezFY9RW1NLdtzu5t3IpTpW5C/ee0BunqU70ntC7VeTCp989zZUvr+A0yYn8u/nkx+YDYOZsVs/oUREblIfxcP6mLpRVmPQgf2PmbAYiSL2YSueenSlOKUaQymphuvvU991StsaljmyKU4rlZCOpkaCtp01H646EfB9CcVqxzN7FSrn7agmCVNZrpy5Pkx0hc3O28bOhqqiK7Ihs3Be5M+HHCa1iHZIVkUX4unAit0RSVVQl7/WSFpKGQWcDfF/0xfdF31bpN5Qbncvpd08TdziO7r7dCVgdgP1we41fpzFkR2azddxW9Iz1WHxqcZs2TLz24zVOvX6KNzLfaBWhRR1alVykYik/OPxA33l9CfgyoLUuUw+CIHDjtxvEHY7Dc6knfee1/o5EUiPhxpobXPz4IjXlNQx+fTBD3h7SqrmdmvIabv95m2vfXyM7IhuRlggDMwP6Le/HkHeGtEonv8qCSu4eu0vc4TjijsZRW14LIjB3MWfUp6NwmuSkcb+40ozSeieT/DgZmWjpaOG+yB3HCY7YDVOeTJqCIAgUJReRHpJO8vlkUi+mkh+Xj1QsffBHIlm1e3fv7vQc3RPrwdZ08+qmMUdcqURKWWYZRclFXPvhGtG7o/FY6oG5szmdbDo9CKN176jxxHBRShGX/nuJmxtuyvNTlp6W8pBmnZuzJiEIAjEHYzj3/jlyo3MB0DHQwXOpJ74v+GrcXfxRJJ9PJvCtQDJuZOA02YkxX4xRu1hYERQmFbJ17FZqymtYfGJxq99nHcpzy/mm+zeM+3YcA14a0GrXaVVyiT8Zz64Zu3gq+Kk2kQFKxVKCvg4i9WIqvi/5Num1pCnUmUCeee8MRUlFeC73ZOTHI1vNtE4QBDJuZMg6Ou64RU1ZDQ4BDnit8qKbdzcit0Zye+dtpBIpfWb3wftpb7V3RAXxBfJdberlVJlc2Le7vDo+704ep944ha6hLpN+naR2NXJJeolcyZV8PpmCuzL3ZXNXc/nJxMzJjC0BW7AeZM38Q/PV2jw8mifJuJ4hcyoGOvfsXE+5JSCwcehGRn82mor8CrnhY21lLVraWlj0fcQ/rYUEfUuoCwMOeWcIvi/4PgijpchONlq6WvVzNmqSTVVxFSdfO8nNjTdxmuLE2K/GknUzSyZzPnaXqsIHMmenKU70HNVTrRympEZC1I4ogr8KJudWDt37d8fvLT+6unclYnMENzfICjS7+3bHe5W3rINmK23YBKnA7d23OfPeGYpTivF6yosRH45oVL2oSZRll7FtwjYKEwtZcHgBdkPtWvV6ddgxdQfl2eWsuraq1a7RquRyYNkBcm7l8PSNp1v99FBbWculTy+RHZnNkHeGtLqOO+VSCoFvBZJ+LZ3eE3sz+vPRWLq3zs6jsrCSqG1RhK2VFTp2su5Ev5X98Frh1aAyvKqoisitkdzceJPK/Ep6BfTC51kfhaumVZELl6SXcOyFYySeScR7lTejPh2lcDiuJE1GJnVGj3WtmC36Wsi7LNoNs2sQFok7GseOyTsY9904Br2qWIK7tqK2ge9WUVIRAAZmBg18tx6VqzeW0Jfnbx72T7vdMH9T55+maMisqqiK3/r9RqcenVh+ob6AQZAKlGbWz9lIqu+Tjc1DZNNDcbJJOpvEwRUHqSysZPz34+m3vF+9eUrFUlKvpMpdp+Uy57EOOE1VTuZcVVxF6O+hXPv+GqXppfSe2Bu/t/ywG15fvSiplXD32F3C/ggj/ng8Ovo6Dwo0B7dOgaa4WsyN32RRCHGVmMFvDMbvLb9WTbxXl1Szc/pO0oLTmP3nbJynOLfatepwe/dt9szdw4sxL7aawWarkUt1STXf2X/HsH8NY/Drg1vjEvWude6Dc5SkljD8g+GterzMi8nj9LuniT0YSzfvbgSsDmgVXzJBEEi5kELYWllHR0Ei4DxV1tHRYaxDiw8NcbWYmP2yNgKFiYV08+6Gz7M+9BrTq8Fra8pqSAhMIO6QLNylqlw4fF04Z/55BmNLYyb/PhmbwQ0VPcX3iuVKrpQLKRQmyPIaXd261iMTRR5UJ/5xghu/3OCpq0816MNR76F//yfnVo7cM6y7z4OWAD0GKFZ0qagUuaa8hqzw+v5p9ZL9D7WT7t6/e4O4tyAI7Jm7h8TTiS1Kr0FGNmVZZXKyKUopakA2JnYmdOrRqcFJqrailtPvnSbkhxDsR9gzbeO0lq+nosy5JK2Eq99dJfT3UMRVYjwWezD4jcF07du12evVvbYtCzSriqq4/Pllrn53FX0TfYZ/OBzvVd6t1m1SXCVm3+J9xByIYcofU/Ba0brt38VVYr6y+ooBLw1g1H9Gtco1Wo1cbm66ybEXjvFS3Eut2tugPLecs++fpaashpGfjGw1U7ayrDLOf3SesD/C6GTdidH/HY3bfDeNx5/lhY5rwymIL8C0tyneq7zxXOqpUEfHR1FX0Bb2exjp19Pp0rML3k/LrDnqCCXxjEwubNHHQv5w6DFAebkwQGHifRPMkHQGvjoQz6WepF1Ne0Am94scu7o/QiYqFLWKq8WsG7yOmrIa5u6bS+7t3Hr9Sers/ru6da2XcFfVLkbVZmEgkwJn3MioV4NTkS8Lv3Xp1UVOON19u5MVnsXxl4+rLBd9lGyKU2XSay0drXo5m5K0Eg6tPERxajGjPx/NwJcHqrSem5U5T3GmQ6cOXP3uKrd23ELXSJf+z/Vn4CsDVQo5CVKBpLNJMofx/TEyD7EZrnit8qLX6F4a/z4WpxZz7v/OEbE5ArPeZoz+fDQu011a5dQklUg59uIxQteEMuaLMa3uwXj4mcMknErg1cRXW8UuqNXIZeu4rWjparHwyMLWGB6QJR/P/escWrpajPrPqFaJj9aU1RD0dRBBq4PQ1tNm2L+G4fuir0a18VKxlPiT8YSvDSf2cCzautr0mdMH71Xe2A611chCFgSB23/eJvjrYLIjspHUSEAk6x3iOstVY3LhopQiks4mcePXG2SGZsrNJy09LB/YqQyzU2u3WZFXIffdSj6bTMrFFPm/dbbvXE8G3M27m8YUc+qQy6MQBIGipKJ6cui6hl2CRMDA3IA+s/rITzjqGFEKUoGy7AdkU5hYSMLJBFIvp9LZvjMjPhyB3TA7Olk3PNkoi9rKWpLPJRN7MJboPdFyPzRdQ11cZ7ky6r+jMLHWTIV8RV4FEVsiCF8bTm50Lp3tO8vDxcoUaCqCrIgsTr9zmoSTCdj42RCwOkClWpuWIAgC5z88z8WPLzL4jcEEfBnQaj5xqZdT2TB0A8vOL2sVlVyrkEtxajE/ufzElD+m4LHIQ9PDA7I+I+c/OI9RVyNGfjxS47JXqVhK2Lowzn9wnqqiKga+MhD/9/w1KscsTCokfH04Nzfc1Eih46OQ1EhIPp8sr2coTi2mQ6cO2A6zRUtbi5xbOWjpaNF3riyOrUrvjaLkInmYK/l8styx19LTkq7uXckIyaAsq4yh7w9VqdaotqKWzPD69SRyi/77eRLtDtrEHohl4s8TW9UcUJPk0hiqSqr43ft3aitqcRzvSGZYJrnRD1nDeHer55+mioV+zq0c9i3ZR05UDv1W9MN+hD0l90oenGysH5xsVCEbSa2E6N3RBH0VRFZ4Fqa9TbHoa0FRYhHZkTKZs/0Ie7kgRBP+foIgkHb1foHmTsULNFVBQmACgW8Fkh2RjessV0b/d3Sr+O6F/BTC8VeO47nEkylrp7RKOE4QBH5w+IGeo3oyde1UjY/fKuRy+YvLBK0O4rXk15Su5FUE6dfTufTpJcyczBj+wXCN1nIIgkDsoVjOvHuGvJg8PBZ7aNTkUl7o+Mf9QseOergvul/o6K1+oWOdXDj2UCzxJ+KpKa3BxM5ELiW1G2YnlwtXFlQSsTmCiE0RVBVX4TjBEZ9nfJpU9tXJdOtkwckX7pOJCKw8reQnE9uhtnIptKRGwqXPLhH8dTDdfboz+ffJTfZfaTZPoq/TwHfr4TzJ/iX7iTkQw7Phz2rkBNYYWptcjjx/hIiNETx942l5HqKmrKZB/5u6/I2RhZHcN62p/E0dpBIpwd8Ec+5f5zB1NGXGlhnyexCkAuU55fVyNuLKB2RTZ8bZybpTkw+5mrIawtaGcfXbqxSnFtMroBd+b/nRa0wv+WdUlFIk78uTfD4Zaa0US09Luclmd5/uau/Sq0uqubXrFmF/yAo0jSyN6Le8H15Peand96cOglQgclskZ98/S1lmGT7P+jD8/4ZrvBjy1q5b7F+yH4exDsz5c47GpO4P49wH57j23TXeyHpD4+4lGicXQRBY47WGbj7dmLZumiaHBmSqluBvgukxsAf+7/hrtK4i7VoagW8FknoplZ6jexKwOqBBolhV5NzOIXxdOBGbI6jMr8TW3xavVV70ma1+oWP+3Xz5l/ZRubDzVGe6undtlrRqK2uJ3hNN+NpwilKKsB5ojc+zPtgNt6M4pbjeyaTkXomMTPpZyaXBtkNtWzxppYekc/jpw5RmlDLi4xH4PONDyb2SekSSGfogT1In65X7bjXRFrkO1aXV/O79O/qd9Vl5ZaXG622gdcklem80u2fvZtJvk1psRVuXv6lTp6Vff2DH/3D+pq5tcWlmKQeXHyT1SiqD3xjMqE9GNesrJQgC5dnlFKUUyQlHXClGpC1qcLKpyKsg5McQbvx6g+rSatzmu+H3ph9W/ZovPaguqSb+ZLxcRFJVWIVxN+N6bs7qPuweLdC0G24n66A5y1UjD1JxlZhrP1zj0n8vIUgEhrwzhEH/GKTRzW5CYAK7ZuzCytOKBYcXaDxCk383n5+cfmLWzlm4zdNsOxSNk0vGjQw2DNvAgsML6DVasx3Y7uy/Q9gfYTiMc2DASwM0VkBWEF/AmX+eIXp3NF3duxKwOgCHsQ5qnyJqymSFjmFrw0gLTsPQ3BDPZZ54PeWlVh8ZqURK2tU0uVonLyYPHX0deo3pJatBaMJduCVIxBIiNkcQ8mMIBXcLkIqlSKolAHTz7ia3U7H1b5lMHkVFfgWpl1K5svoK6dfSEWmLkNbIivRM7EzqEUk3724qnXjr2v4OfGUgY78aq/TrW0JrkUtzbZ0VgSAIFCYWyk82GSEZZIbL8jcikQipVIqekR6+L/jisdgDc1dzpb47glD/ZFOcUkxRShFpV9PIjshGW1cbt4VuDP3nUJUENZqUOTeG2spaYvbHELY2jORzyeh31sd9sSxaoIn6u4r8Ci59eomQn0IwsjBixMcj6Le8n8aeT+nX09k2YRvGVsYsPrlY4wKpdX7rMOhiwMKjms2Pa5xcTr5+ktiDsbwU95LG3lxBELi58SbRu6PpO7cvnss8NZLkLs8t5+J/LnLj1xsYdTVi1H9G4bHEQ615N1roONYB71Wyjo6q7qjryYWPxFGRd18ufH+n12tMy3LhxuZaEF9Qz+ixNL0URDI7FW0dbcpzyulk3QmvVV54LPJQqIit2TyJqQFdHLpQmFiIIBUY9Z9R9H++v8bUN8HfBHPqjVMsPLZQ40W0rUEuUrGUjSM2UnKvhGdvPquxnF5hciH7F+3nXtA9zFzM0NbVJi8mD0EqoGek18A/TZH8jSAIsg3Cl1e4e/QuBmYGOIxzwNzJHEEQZCebHvVPNsqu93oy58Nx3At6SOZ8f62buyru5vwoCuILCFsXRsTGCMqyyujevzteq7xwX+CudoFmYWIhZ/91lls7bmHR14IxX4yh98TeGlnbebF5bB27FYDFpxZrtDbl+q/XOf7ycV5Pf12jNjsaJRdJjYTve32P5zJPRn86WiNjSiVSQn4MIeFUAj7P+OAy3UXtMWsrarn6/VWufH4FAP/3/Bn46kC1jsqVBZVEboskfG042ZEPFTqu9FI5X1OSXkLckTiNyYUFQaDgboG8YDH5fDKlGaWItEQNTib6JjI78oL4AkL/CCVmXwzaetr0nd8X76e85ScjqaR+niQjJIPsqOwHeZK6IsL7p5IuvbogEomoLqnm1FuniNoWhdMkJyb8OEEjMWtBKrB98nYybmTIvLg0ZAsDrUMuZ/99lsufXWbFxRUaUR8JgsCtHbc49uIxdAx0mLpuqpxka8pqHpB+XSuAlCLgofzNw/U39/NmUomUmP0xBK0OIj0kHYs+Fgx+czDuC93R6aCDIAhU5FY8yNkkF8nDmx17dJSTjYmNidJkU55TLs8hJpyUyZy7OHSRh3xt/Zt2c24OdQWa4WvDuXvsrkYLNNOvpxP4ViApF1KwH2FPwOoAjbRSL0kvYeu4rZRnl7Pw2EKNtW+uLKjkK6uvCPgyQCXH7aagUXKJOxrH7jm7efr60woVRrUESY2Ey59fJuN6BoNeH0TPkeoVK0olUiI2R3Du3+cozynH9wVfhv1rmMqyWHmh4x9hRO9VvtCxsfGyI7Ll1fGZoZlquQsLgkB+XH69k0lZZpmMTHy6yXMmNkNs5GTSFMpzy7m54Sbh68Nl3Q57dEQkEpEXk0dt+YM8ycOFiV3duraocok9HMvxl4+DAON/GI/LNPU3D+U55fzm+Rtd3bqy+ORijUk5NU0uSeeS2Dx6MyM/Gcmw94epPV5FXgVHnz9K9J5o3Ba4MfGniS3G6Muyy2T1N9cf1N9UFj7I3+h31qcwsVCWJxxqi/+7/jiOd2z2PRUEgYq8R8imXH2yEVeJ67k5l2aU1nNzdhjn0OI6bgwl6Q8VaCYVYe5qjvcqbzyWeKjcVFAQBO4eu8vpt0+TG52L2wI3Rn06Sm07psqCSnZM2UFWRBbz9s/DIcBBrfHqsGvmLopTinkm9BmNjAcaJpe9C/dSmFjIqqvq+9XUlNdw4aMLFNwtYOi/hipsX9IYBEEg4WQCgW8HkhOVQ9+5fRn131EqF1yWZpYSsSlC1tExvgAzJzNZtfBST6WPleJqMSkXUuSEUnKvhA6dOuA4wVFmfz7BUeFQiSAI5Mfm1/PmKssqQ6Qtonv/7vKiRdshtgqFACryKxr0J6nIlRX+aXfQRktbCzNnM7xWeOG53FNli4zy3HJOvHqC2EOxuM13Y+zXY1V6SDyMxDOJbAnYwuj/jsb/XX+1xqqDJsmlIq+C3zx/w8zZjCWBS9QOIccdiePQqkNIa6VM+nUSfef2VWkcQRBID0nnypdXiD8WL5coC4KAlrYWXd271vNPUyR/0yzZdH9ANp1sOilcP/awm3Pc4TiybmbJZM7D7eUbsUetkRQZ89ECTZfpLniv8pap3lTYpEjFUm5uusm5f5+jMr8S3xd9Gfr+ULWMZWsratk9dzcJpxKYsWWGRhLxMQdi2DVjF8/fel4jBwPQILlUFVXxnf13jPx4JANfGajWWJUFlZz991kq8yoZ8dEIhbo2NoXMsEwC3w4k6UwStkNtCVgdgPVAa6XHkYqlxJ+Il3V0PBKnVqFjRX4F8cfjFZILN4e6+PTDZFKeXY5IW0QP3x5yMrEZYtPig7+2slZuWVL3U2fNot9Fv4HvlqGZIXeP3yV0TSg5t3IwdzHH5xkfWWdAFcIUdW0STr1xCj1jPZkJppqCkDP/PMOVL6+w8vJKrAcp/5k/Ck2RiyAI7Jy6k3vB93g+8nm1in+rS6o58Y8T3Fx/k96TejPljykqhwLz7+YT/E0wERsjEGmJ8HrKi0GvDaKTTSe5+0GdYCA3OhdBqJ+/qVOpmdg2n78RBIHK/Mp6ZFNTVlOPbEzsTDCxNVGYbIpSiuQh5KRzSTKZs4elPISsrMy5Iq9C3kEzNzoXEzsTvJ7yUrlAs6a8hqvfXuXKF1cQaYsY+v5QBr48UOVukJJaCYdXHSZiSwQTfpigtruxpEbC192+xvtpb8Z8PkatseqgMXIJWxfGiVdP8ErCK2olhaqKqjj5j5NIJVJGfTpKrX7X5z88z4WPLmDuYs6YL8bgNMVJpVhqQXwBG0dspDS9FKt+VvJCR1XapB598Siha0IRJAI9BvSQJylbkgs/ivTr6eyYvIPynHK0dLTo7ttd3svExq9lMnkYu+fs5s7+O43nSXx70MWhS5Nzq+swGLomlOQLyXTs1pE5u+eoXCFdklbC0eePknQuieH/N1wtCwxJrYSNwzZSllXGszefVfs0pClyufbDNU68eoIFhxfgNNlJ5XFK0ktYP2Q9lfmVjPtuHF4rvVTOFZz55xkuf34ZIwsjBrw8gP7P9292d11dWt3AP604VVZAa9TViDl/zlG462oDskkpoqZURjZd3bviOsNVqXtpSua8JHCJ0rtyQRBIv5ZO6B+h8gLNusp5VVCeU86Fjy8QuiaUjt07suLyCpWfcYJUIPDtQIK/DiZgdQB+b/qpNE4djr54lNiDsbyW8ppmxFiCBpAVmSXc3HxTENeI6/0+NDRUqXHy7+YLiecSheJ7xUJtVa3893FxcWrPUSqVCsHfBgs3btxQe6yQn0I0Ms61H69pZBypRKrSWCmXUoRbf94SpBJpvd+rOidxtVioLKwUpFLZeOIasRAZGanUGOW55UJ5Xrlw5l9nBIlYIv99WFiY0vMpyykTLn56UT6fOmjiPa8urVZpnEff6zqoOyepRCoEf6f8+s4MzxTunrgrRG6LrPc+qXRvUqkgldz/kcp+VJlTSWaJkBWVJcSfihdKM0vlv09PT1d6To3NUZXnQNi6xtefKu/TnQN3hJRLKWqPFbktUsiLy5O/1+rM6fQ/Tzf6e3XWpUa0wpbuljiMdSAnKketcUwdTek5oidl2WUa9e4SBIFr319jwMvqN8ZJCEyg7zzV4tkPIz0knT5z1O9hLZVIuf7Ldfo/33zhXWOw9bel98TehP4RKvMaUxPaetrod9ZHJBJRU1HD6XdOKz2GobkhhmaGjPhghLwTpKowsjBiyNtDuLX9Fsnnk9Ua62EIgsCxl46p9Nqt47c2+J269ylIBa79cI2BLysfjrbqZ4XjOEdcprtw7Ydras1DJBIh0rr/IxIR/HWwSnPqaNURSzdLbPxsEFeK1ZrTwxAEgZAfQ1QKIRmaGyJoKD3tMs0FI0sjIrdGqjWO+0J3StJKyLieobbc2f8df9KC09Qa41ForI2dsaUxRSlF9Tv2qYism1kamJEMDxOLuke97KhsDEwN1Lb4zrmVQ3VptdqackEQCFodhO+Lvirfm56RHj7P+HD9l+sa+/KkBaeRGZrJ6M9Ul6Nr6WiReCqR8rxyteaipaNF3/l96erWlZubbqo1Fty3/tgaydR1qnkxea/ybvC7ndN2qjWfaz9cY+Arqjka10HXUBefZ3wI/T1U5TEeRsgvIQx8Vb056RnpIRFLNLIuBUEg5IcQfF/wVSkn6DzVmQsfXVB7HnUw622G4wRHbu24pdY4PUf2RCqRknNLvY19h04dqKmokXsDagIa7ZHqOsOVK6uvyJ1wVYXXSi9qq2rVno8miSUvNk9WdKWGak1SK+H27tvUlNVoxL3g6ndXGfL2ELV3LSKRiIGvDuTCx6p/eQRBkH/uGWEZ2A21U/v06fuCL5lhmXJrE1Whpa2FobkhZr3N1H5QHX7mMB6LVS+07Tu3L7UV9df2U0FPqTSWIJWtb3WJpQ66Bro4TXGiuqRarXFu77mNxyIPjZgtmvU2I+FUglpjCIKMgH1fUo1Y6uD3lh/Re6LVmsvDMDQzxNrPWt4PR1XYDLahJK2E0sxStcbpNboXGaEZ5N/NV2ucOmi2ATfg/64/YevCGnyBlIFIJCL0t1C1HgSaJJb0kHRK7pWopSmX1EqI2BSB02QnjSiXYg/FyhK4GqrhEIlEDH1vKHeP31Xp9UFfBXH91+sU3ytmwIua68vtONaRM++f0chYNn42BL4dqPTrBEFAKpZSW1nL+O/Gq03mh1Ydkv//lS+uqGR1IwgCV7+/qvbp4FF07NaRI88fUfn1sUdisR5grbZ44mH0Gt2LkrQSlV4rCALXvpOFDNV9DugZ6WHjZ0Pk1kjEVZoJ13W264ykWkJphnrE4DjekcTTiWpvDFxnulJyr4Sks0lqb8Q0Qi6CIMh/ALyf8ub2nttqjTPg5QGkXEwh7WqaSjd57ftrDHhpACItUb1xlR3r9p+30e6gTc/RPdUaJ2h1EF5PeaGjr6PWOCBrUWrRx4IOnTqoNdajr9XS1ULXQFelObnMdKH/8/3Jj8vX6JwEQWDSz5NUmlNjYw15a4jSY4WuCeXOPpmvna6RrlqfnSAITN80nbgjcWSGZ+I0xUmlsa5+KyMWRA3vU9n5PPozY/MMle4tcnsklh6WdLLppNE5ibRF1JTVKD0fkJ3uB7wyQGPvk3E3Y1xnuRJ3JI74E/EaWZd2w+1IOJWg9vvksdiDqB1Ras/JfqQ9XXp1IWJzhFoEo5GseWG2zCdKKpbK6zNsx9pSVFSk1DhlhWVIJVKKkovo2L0jZu5msjGrlD9e957Tm6K8htfvYqRchay5jzm6RroUZtdPuio7Tt8VfRuMoco4AGb9zMAYtefU2Hw6uXRCUqh8cl+7kzZFWUXod9enKKdIvps2MVROZlmYUwiCTHcv0hbJwxidjTorPafG7g+Uf5/sJ9mjpavVYExVPru61+tb61NWUoZZNzMKswuVHstpvhNFOUUNfq+JNaDKOACWgyyR6knJz8iXJ/VVGauqvAqQtcQWpAKd7TpjZG2EVqXye2GnuU4U5RY1+L2675OVvxXVxdWIpMqfGht7z23H21JYqJywo26cOgIQiUT0mtZL6XEanZM+WI+xprhEjRxMoxoyFRBzMEb4zOQzYfuU7UJ1abXK44irxcLRF48Kh545JNRW1rb8gmYQ/G2w8LHux0JFfoVa4wiCIGSEZggf8qGQEZqh8hhSiVT41u5b4dDTh9Sai1QiFbaO3yqs7rq6nlRTWUjEEuHQM4eED/lQuLL6ilpzEgRByIrIEn7r95uwecxmoSSjROVxpFKpsHfhXuHr7l8LRalFas0p/mS88CEfCmkhaWqNIwiaWQOCIAhbJ2wV1vmtU3s+J14/IXys+7GQfkM9iW7Q10HCh3woHHzqYJNSaUVRlFok/NznZ+Grbl8JGWHqvU+JZxOF8x+dF4pS1FsDRSlFwoeiD4XwDeFqjSMImlsDJ984KXxp/mWD8g1lEbYuTPiQD4WonVFqjXPnwB3hkw6fCJtGbVLr+f0wNJZzcZ7qzPyD80m/ls62idvk/cGVhbaeNkPeGUJFTgU31txQa05uC9wQpLL2vk8CUi+nUpxSjMcS9bpzBn8bTPyJeKZvno6xlWqKM3GVmD1z9xC+LpxpG6apXYAFslbGc/fOpaa8hj9n/UlBQoFK44hEIib+PJEOnTpwcMVBtRSIPUf3xLibMZFb1JN9agplWWUknEpQew3cPX6Xq99cZcwXY1QWmQiCQOA7gZx64xT+7/kz5Y8paudvTGxMWH5hOZ3tOrN51GaSziWpPJb9cHs6WXciem80tZWq53BNbE2wH2H/xKwBqVhK1LYo3Ba4qSV6yL2Ty/GXj+P1lJdaFjDh68P5c+afOE91ZuGxhRpr8KjRhL79cHsWn1pMcUoxm0dvpvieakcqExsT+j/fn4STCfX6oysLY0tjHMc5ErE5QuUxNImIzRF07tkZ2yGKVS43howbGZx57wyD3xyM4zhHlcaoLqlm24Rt3D12l3n759FveT+V5/MouvTqwrx989Az1mP37N1kRagmK9fvrM+0DdPIuJ7B5c8vqzwfLW0t3Be5c2vHLSS16tfyqIuoHVFoaWup7P0FMm+7A8sO0Htib5VdbKViKYeeOkTQl0GM+3Yco/87WmNtDwzNDVkSuATrQdZsn7SdO/vuqDSOSEuE6yxXJDUSYg/FqhX/91zqSdK5JJWfSZpE4plEyrLK8FzqqfIY4ioxe+fvxcTWhPHfj1dpDEEQuPzFZQ49dQifZ32YtWOWRusLNa4Ws/K0YunZpUhqJGwauYncO7kqjdMroBd2w+249sM1yrLKVJ6PxxIP0oLTKIhXbRetKdRW1hK9OxqPxR4q7w6rS6rZM38PVv2sVG5pUJZdxsYRG8kMz2RJ4BKcpzirNE5zMLYyZs6fc+jcszN7F+wl5ZJqGwTrQdb4/9OfK19cUXkMAM8lnlTkVRB/Il7lMTSFyC2ROE12UrmjoCAV2L9kP1o6WkzbOE0lQqitrOXPWX8SuSWSGVtnaNRmvQ56xnrMPzgf1xmu7Jm3R+X6GX0TfZynOpN3J4/M0EyV5+M6yxUdfR2itkWpPIamELklEnMXc7r5qG4hdOqtU+TF5jF712yVOl8KUoFTb57izLtnGP7BcCb+PFFj/bfqoHFyATB1MGXZ2WUYmhmyefRm0q4pX/kpEokY8NIAOnTqwOUvLqscGnGe5kyHTh2I2PJ4Ty+xh2KpLqlWORwiCAJHXzhKeU45s3bMUqnpWGFiIeuHrKcsq4wVl1Yo7P2kCvQ76zNz20ysB1pzcMVBYg/HqjSO35t+2PrbcmjlIZVDrZYellh6WhK5+fGGRXJu5ZAVnoXHUtVDYpe/uEzS2SRmbp2pkh18VVEVW8dtJfF0IvMPzcdjkXrhueagrafNjC0z8H3Rl6MvHOXify6qdPqwcJW1cog/EU95jmpFtR06dsB1hqvaCih1UV1azZ19d/BY6qHySTHmYAzXf7rO2K/HYulhqfTrJbUSDiw7wNVvrzLx54mM+HCExk6tD6NVyAVku9fFpxbT1a0r2yduV6kQSs9IjyHvDKEwvlBlctA10MV1tiuRWyIf66KK3BKJ9SBrzHqbqfT6iM0RRG2LYvJvk1VqFZAVkcX6IesRaYl4KugpLN2VX5TKQtdAlyl/TMF5qjMnXjmhUoW8lrYWU9dNRVwt5ujzR1X+DD2WeBB7OFbeq+RxIGJLBAZmBip3yLwXfI9z/z6H/3v+9BylfG+j0sxSNgzbQO7tXJaeWarxTp2NQaQlYty34xj58UjOf3ieE6+dUKnI2mGsAwZmBtzefVvl8KbHEg/ZCShM9ROQuriz7w7iSrHKpF6SVsKhlYdwme6C7wu+Sr++pryGndN2cmvXLWbvnK3SGIqi1cgFZEfa+Qfn02tML/6c/SdRO5Q/kpo7m+O5zJPo3dFkhqu2KDyXelKUVMS9K+pVwqqKsuwy4k/Eq7xjzY/L59iLx+i3vB/uC92Vfn3KxRQ2DttIxx4dWXl5pdJ9LtSBlo4WY78ai9cqL85/cJ7gb4KVJoiO3Tsyec1k7h67y43fVBN5uC90R1orJXq35iqslYFUIiVqaxRu891UOnVWFVWxd8FeegzowYgPRyj9+vy7+az3W09VYRUrLq3QSCGvohCJRAz951Am/TqJG7/eYP+S/Up72WnratNndh+qiqpUDm/2GtMLYyvjx5qDjdwcif1Ie0xslXdClkqk7Fu0D11DXaaum6r0aaOyoJItY7aQeimVRccWqZX3UwStSi4g273O3DYTj8UeHHrqENd+VN4cz3WWK928uxG0OoiqoiqlX2831A4TW5PHFhq7tfMWIi2RSh+muFrMnvl76GTdiQk/TlD69TEHY9gydgvdfbuz7NwyjbQSVhYiLRHD3h+G/3v+XPvhGmffP4tUolyYs/eE3vi+4MvZ98+SHZmt9Bw6dutIr4Bej00xlHxO1lJalbCoIAgcfuYwVUVVzNo+S2mFUWZYJuuHrEdHX4eVV1Zi0cdC6TloAj5P+zB712zu7L/Djqk7lC6MNLIwwnG8I5mhmeRGK5/L1dLRwm2h22MTdxTfKybpXJLKofGL/7lI6uVUZm6fqXTOriSthA1DN1AQX8Cyc8voNUZ9+6mW0OrkArIPdeLPE/F7y4/T75zm7L/PKrV7FYlEDH5jMABBXwcpvfMVaYlwX+zO7V23NWbboAwiN8uSuKp0nzv97mlyb+cye+dspSWCYevCHkgMjy5UuVOkptD/2f4ErA7g9q7bHHvpGOJq5T6LkZ+MxMLVggPLDlBTrnzFtudST1Ivp1KYqJ4LsSqI2ByBmZMZPQYo3/c8fF040bujmbp2qtKnzqSzSWwcsZEuvbqw4tIKlXbMmoTrDFcWHVtE+rV0No/ZTHmucjmUbt7dsOhrQeyhWJU2mp5LPanIrSDhpHp+ZaogalsUOh106DNLeTf0lIspXPz4IsP+bxh2Q+2Uem1eTB7r/NZRU17Dyisr6d5fdX9EZdAm5AIyghj50UgCvgwg+Otgjr5wVKkkvUEXA/ze9CMzNFMlaaPnEk+qi6uJOxKn9GvVQc7tHDLDMlXarcQdjePad9cIWB2AVT8rhV8nCAKXP7/M4VWHW0ViqA76zunLpN8mkXw2mYPLDyq1e9XpoMP0TdMpzSjl1JunlL62y3QX9Iz11LY6VxY1ZTWyJO4S5ZO4udG5HH/lON7PeNNntnIPpeg90WybsA0bPxuWnl6qtpu3pmA/wp5l55ZRnFrMphGbKEopUvi1IpEI5ynO6OjrEL03Wun8jZWnFV3du7b5CVYQBCK3ROIyw0WhFuMPoyK/gn2L9mHrb8uwfw1T6rXpIems91+Pvok+TwU9hZmTajlfVdBm5FKHAS8NYNr6aURti2Lvgr1KFUd18+5Gn9l9iNgYQX6ccs6d5i7mdPft3ubx1sgtkRiYGtB7onLJ09KMUg4uP4jTFCel+tAIUoGTr5/kzHtnGP5h60gM1YVDgAMztswg51YOe+btoSJPcRWYqaMpY78ZS+SWSG7vVq44VtdQV7Z+2lgxdGf/HWrLa/FYrNwGo7aylj3z99ClVxfGf6tcLcON326we+5uXGe5suDQAo0VxmkKVv2sWHFxhbxbqDJhLh19HVxnuVKaXqpSnx7PpZ7EHIxR6eSjKjLDZKE8ZTeZgiBw6KlD1FbUMnPbTKW+ywmnEtg0ahPmLuYsv7hcrXbaquCxPHXc5rsxd+9cks4lsXPqTqqKFf+QPZd60sWhC5c/v6y087LnUk/ij8crfRRXFVKJrBK377y+Sp0cpBIp+xbvQ1tPm2nrFa9lkNRK2L90P9e+vyaTGH7QOhJDTaDHgB7M2T2H8txy/pz1p7xFriJwX+hO33l9Of7ycaUbbXks8aAwoZC0q5ptjNQcIrdEYjfMTumQ1qk3T1Fwt4DZO2eja6ir0GsEQeDCxxc4+vxRBrw8gJlbZ6okIGgLmDqasvzCcgzMDNg4fKNS1vMmNibYj7Qn5VKK0mtALu7QoH1+S4jcEomRpZHSzurXf7lO7MFYpq6fqlTr8KgdUWyfvJ2eI3uy5NQSDLqoVlelDh7bltYhwIFFxxaRG53LloAtChdKaulo4f+uP9XF1YT8FKLUDtRtvswi4fautrGDST6fTElaidKVuJc/v0zy+WRmbpupcCijTmJ4+8/brS4x1BTMXcyZu3cuiODPWX+SF5On0OtEIhETvp+AkYURB5cfVEp5ZD/Cnk42ndrsBFuSXkLi6USllYJ39t/hxi83GPftOLq6Kdb3XZAKHH/5OOc/OM+oT0fJ2gNo0I6/NdCxW0eWnV1GV7eubB27VamWD7b+tnTp2YU7++4olYPr2L0jvcb0arM1IKmVcGvHLdwXuivVTyYrIotTb5zC9yVfXKa5KPy6az9eY9+ifbgvdGfuvrkKb0w0jccaL+kxoAdLTi+hqrCKTaM2KVxFb2xlzICXB5B8PpnE04kKX8/Q3JDeE3u32aKK3BKJaW9TegxUPIl7L+ge5z84z7B/DcN+hL1Cr6nIr2hTiaEmYWJjwty9czGyNGL3nN2kh6Qr9Do9Yz2mb5pOdmS2Uk3ORFoi3BfdF3coKShQBVHb7ydxlciXFKcWc+ipQ7jOcsXnWR+FXiOuFrN34V5u/HqDyb9PZug/hz6xp9ZHod9Zn4XHFuIw1oFd03cpnBMTiUS4zHBBkArEHlTOHsZjiQepl1LVbjGtCBJOJVCeU67UJrOmvIa98/di7mLO2NVjFXqNIAic/fdZTrxyAr83/Zi2YZpGGrapiscejLdwtWDp2aXodNBh8+jNCrc4th9hT6+AXtz45YZSjYQ8lniQcT1D4V2yqqgpryF6T7RSSdzKwkr2LtiLzWAbhv/fcIVeU3yvuM0lhpqGoZkhs3fOpqt7V/Yt3kdCoGJKnm7e3Rjx0QiufndVqU2G5xJPqgqruHtUtcZoikIQBCI3R+I8zVnh5llSsayWoUPHDjIjSQXWTnVpNTsm7yDmQAxz9szB52nFCOlJgq6BLrN3zcZzmScHlh8g+NtghV7XoWMHXKa7kB+XT/o1xTYmAC4zXNA10m0TcUfklki6unXF0lPxwuUTr56gOLWY2Ttno6PfckhdKpFy5LkjXPrPJcZ8OYaALwMe++bisZMLyHavS04vobN9Z7aO26pwks73eV8MLQy5/PllhXXrTpOd0O+s3+o1LzEHYpRK4gqCwOGnD1NdWi1L3ClwfM69k8v6IeuprahtU4lha0DPWI/pG6fTa0wvjjx7RGEn6wEvDcAhwIHDTx+mLFux0KpFHwu6+XRrdcVQdkQ2ObdylEriXvjkAveC78lqGRSIk5fnlrN51GbSQ9JZfGIxrjNc1ZnyY4WWjhaT10zG/11/At8K5PR7pxU6jZj1NsN6sDUJgQkKt/rVM9Kjz6w+re7cUVVcRcyBGKXsXm7tukX4unAm/DgBcxfzFv++nsP5xmkMeWuIutPWCJ4IcgHZ7nXh0YX0GNiDndN3EnMgpsXX6Ojr4P+uP8WpxYSvD1foOjr6OvSZ24eorVEq2VAoisjNkdgOlcWEFUHo76Hc2XuHqWunKlSLkHYtjQ3+Gx6LxLC1oK2nzYQfJ+C2wI3AtwO5/uv1Fr/4Ii0Rk3+fDCI4/PRhhT9Tz6WexB2NU9mvTBFEbI7AqKsRDmMVS+ImX0jm0n8uMeLDEQo5ZxelFLHBfwPF94pZfmG5wmHUJxkikYhR/xnF2K/HErQ6iMNPH1aoZKHXmF4YWxoTvSda4XCnx1IPCu4WKHXiURbRe6KR1EgUdtYoTCrkyDNHcJvvRr8V/Vr8+4cdzucfmE+/ZS2/pq3wxJALyHavc/fMxWW6C/sW7SNsXViLr+nSqwveq7yJPRircLzec6knxanFatn5N4fSjFJZElfBHWvOrRxOvnYSn+d8cJ3Z8s4z/mQ8m0dtxtz18UgMWxNa2lqM+s8oBr02iCtfXJGZHbZAGEYWRkxdO5Wks0lc/f6qQtdxm3+/108riTukYilR2xXv2VFXy2A3zA7/9/xb/PucWzms91uPVCxl5ZWVStVB/RUw6NVBzNg8g8itkeyes7vFkgUtbS1cZ7lSU1rD3WOKhTvtR9jTsUfHVo1iRG6OpNeYXnTq0bLSS1IrYe+CvRiYGTDpt0ktnnTqHM6zbmax5PQSnCY7aWraGsETRS6AXH7b//n+HH/5OJc+u9Ti7tVpihPWg6wJ/iZYoZ2ojZ+NrEd0Ky2qqO1RaOlq0XdOy4n12gpZLYOpoynjvhnX8tg7otgxeQc9Rz0+iWFrQyQSMei1QYz8eCQ319/k5BsnW9y99hzVk8GvD+bCRxdIv97yJsOoqxG9J7SeuCMhMIHybMWSuIIgcHDFQcRVYmZsndFiLUPqlVQ2DN2AoYUhK6+sVMnI9K8A94XuzD84n8QziWwbv63FuhRDM0N6T+pNdkS2QhZBWtpaeCz24PbO20p7nSmCouQiUi6mKLzJPPd/58gMzWT2ztkt5ujqHM7Ls8tlDudq9IhqLTxx5AKyUEfA6gBGfDiCi59c5OTrJ5vdvdY9jLR1tQlaHdTiTlckEuGxxIPo3dFK18oogsgtkThPdUa/c8tJ3JOvn6QwsZBZO2eha9C8ZPDaD9fYt3Af7oser8SwreC51JMJP04g7nAch1YdavGzGvbvYXTz6sbBFQepLqlucXyPJR6kX0tXuiBXEURuicSijwVWXi2fKEJ+CiHucBzTNkxrcYcbdzSOLQFbsPS0ZPmF5Sp3Iv2rwHGcI0sCl5B7J5eNIzZSmtF8TsXK0wpLT0vijigW8vRY4kFlQaXCpx1lELk1El0jXYXyYImnE7nyxRVGfTqqRYugOodzLW0tVl5ZqbBUva3xRJILyAhgyNtDmPTLJML+COPA8gPN7i46dOqA39t+5ETlcGvXrRbH91jsQU1pDbGHVOsz0hSyIrLIjsxWaMcavTea0DWhjP9uPF37Nr1ABEHg7L/OcuLVE/i99fglhm0Jp8lOTN84nfSQdPYt2tfs7lVbV5tpG6ZRmV/J8VeOK3Ti7WCi+V4/1SXVxOxXLImbdTOLwDcDGfDKgBYbt0VsjmDntJ04jnNk8YnFCivQ/uqwHmjN8gvLqSqqYsOwDeTfbX4z0Htib/SM9biz906LBqld+3alm3c3jZ9g6+xeXGe6tuiOUJ5Tzv4l+3EIcGix3XjyhWQ2DttIJ+tOrLi8ok0dzpXFE0sudei3vB+zts8i7nAcf876s1kvKkt3S9wWuBG1LapFOwlTR1Ns/Gw0vqgit0RiaGGIw7jmk7hFKUUcXnWYPnP64P20d5N/J5VIOfLsES59+uRIDNsatv62zNoxi6KUInbP2d2sIqizfWcm/DSB6D3RLarBdA106TNH8+KO6L2ypHJLPTtqymvYM38PFn0sCPgyoNm/Dfo6iAPLDtBvRT/m7J6jkDz17wQLVwtWXFyBjr4OG4dtbLb9Rl1dUVl2mUISdY8lHsQdiaOyQHO9ftJDZCfiljaZglTgwLIDCFKB6ZumN1v0GnMwhq3jttLdtztLzy5VqVlcW+KJJxcA56nOzD84n/Tr6WybsK1ZLyq3BW5Y9LHgyhdXWjRF9FjiQcKpBLXaKD8MqVhm9+I2v/kkrlQsZd/CfXQw6cCU35uuZRBXidk9Zzfh658sieHjgJWnFXP3zKW2opY/Z/5JQULTBbd9ZvXBc5knp96UtYJtDp5LPClKLiL1cqrG5hq5OZKeI3u2aNdx/OXjlKSVMGtn08aigiAQ+HYggW8G4v9Pf6b8PkWpKu+/E0xsTVh+fjmde3Zm86jNJJ1LavJv66rw04LTWjzpuC2QiTsUiXgoisgtkXTs3hH7kfbN/l3wt8HEn4hnxpYZzYY46xzOXaa5PBEO54rgL7NK7YbZseTUEorvFbN5zOYmvai0tLXwe8uP2sparn5/tdnQSN+5fdHS1lKpiVljSDyTSFlWWYu7lfMfniftWhqzdsxqMi9TVVzF1vFbiT8e/8RJDB8XuvTqwty9c9HrqMfu2bvJimi64DbgywA6WXfiwLIDzbZZsPW3pbN9Z42FxopSikg+n9yi3UvUjihubrjJxJ8mYu7ceC2DVCzl0MpDBK0OYtx34xj96ej/uVProzA0N2TJqSVYD7Zm+6TtRO9t2h/MepA1pr1NiTkQQ3Vp0zk4Y0tjHMc5aqzuSVJz3+5lsXuz4oyMGxmcee8Mfm/5NSlXr+dw/pwPM7fPfGIczlvCX4ZcQNYLfdnZZUhrpWwatYncO42HvowsjBj0j0Hcu3KP+ONNd60zMDXAabKTxhZV5OZIzF3M6ebTrcm/STqbxKX/XmLkxyOxGWzT6N+UZZWxacQmsiOyn0iJ4eOEsZUxc/6cQ5deXdi7YC8plxqXk+sZ6TFj8wwK7hZw5v0zTY5X1+sn+s9opRy6m0LUtih0DHSalZQXJBRw5NkjuC90x3NZ4xuR2opads2UWaHM3DaTQa8OUntufxfoGesx/8B8XGe6snf+Xm6sabw7qUgkwmW6CyItETH7Y5rdaHos8VDolKMI7h6/S2VBJZ5Lmt5kVpdUs2f+Hqz6WTHqP6Ma/ZsGDuc/PXkO583hrzPT++jSqwtLzy7F0MyQzaM3N+luazPYBqfJToT+HtpsvwiPJR5khWeRcytHrXlVl1ZzZ/+dZpO45bnl7Fu8j54jezLkncZDXAUJBTKJYc6TKzF83NDvrM+MrTOwHmTNwRUHmxRldHXryujPRhO6JrTZPj6eSzypLqkm7rB6vX4eTuI2FbaQ1MhqGYy6GjHp18ZrGSoLK9k6bitJZ5JYcHiBSq2t/+7Q1tNmxuYZ+L7ky7EXj3HhkwuNkoeekR6uM10pTCpsNvTpPM2ZDp06aMQOJnJzJFb9rJpUcQmCwNEXjlKeU87snbMbda2u53D+y5PtcN4U/nLkArJj7JLAJVi6W7J90vYme2p7r/KmY/eOXP7scpNVu70n9sbA1EDtsMidvXcQVzadxK2rZZDWSpmxpfFahqyb9yWGOk+2xPBJgK6BLlN+n4LzNGeOv3Kc8A2NOzR4P+2N8xRnjj5/lJL0xj3ozJzM6DGwh9rijowbMs+65uoazv7rLFnhWczaMavRplGlGaXy/iZLzy7FcbyjWnP6O0OkJWLcN+MY+clILnx0gROvnmhUHdalZxds/W1JPpdM8b3Gw+m6Brq4znZV2w6msrCSuCNxzYZFIzZHELUtislrJtOlV0MHj5ryGnZO3Un07mhm75qN7/NPvsN5Y/hLkgvIpMfzD86n15he7J6zm8htDXcc2nra+L/nLqD9pQAAFW1JREFUT1lWGaG/hzY6jraeNn3n9yVqW5TSfd0fRuSWSOxH2jdp3XLt+2vcPXqX6ZumN1pRn3whmY3DN2JiY/LESwyfFGjpaDH2q7H4POPDhY8uNNoCWyQSMfGXiega6nJo5aEmP2PPpZ7En4inPEf1Xj+RWyIx7mZMr9GNm4fGn4wnaHUQoz8bTQ/fhrUM+XH5rPNbR1VRFSsur8B6oLXKc/lfgUgkYuh7Q5m8ZjI3frvB/sX7G91I1lXj39l7p8kcnOdST4qSirh3RfG+Mo/i9p+3kYqluC9o/LSZH5fPsReP0W9Fv0b/piK/gs2jN5N6OZWFxxYqVIj9pOIvSy4g8wmbuW0mHks8OPz04UatP0xsTOj/fH/ij8c3GZ/3XOop62p3LlmleRTfKybpXFKTO9bMsEwC3w5k0D8GNdqR8s7+O2wdt5UeA3r8JSSGTxJEIhFD/zkU//f8CfkxhLPvn21AIAZdDJi2YRr3gu9x5YsrjY7Td15fRFoibu1UTTHUUs+OsqwyDiw9gMM4Bwa/PrjBv2eEZrDefz26hrqsDFqJhauFSvP4X4X3U97M+XMOsYdi2Tl1Z4MEvpa2Fn1m9UFcJSb2cOP2/HZD7TCxNVErihG5ORKHcQ6NKr/E1WL2zN9DJ+tOTPhxQoN/r3M4L0wsZNn5ZU1uUv4q+EuTC8h2rxN/nsiQd4Zw5r0znP3X2QYLx2GsA7ZDbQn5IaRR59weA3pg2ttU5cR+1LYomSHmrIY9O6pLZYk7S3dLRn82usG/h60NY/fs3bhMc2HBkQV/CYnhk4j+z/Zn7Fdjub3rNsdePNZg92rjZ4P/u/5c/vwyqVcaxt4NzQxxmuSkcmgs/kQ8FXkVjSoFBanA/qX7QUSjtQyJZxLZNGITXXp1YcWlFZjYtGxc2o6GcJnuwqLji0i/ns6WMVsadJzV76yP81Rncm/nkhnWsE5GpCVz7ri963azCsOmUJBQwL2ge01uMk+/c5rc27nM3jkbPaP6hZW5d3JZ77cecaVY5nDu89d1OK/DX55cQLZ7HfHBCAJWBxD8TTBHnz9az4tKJBIx8JWB6BnrceXLKw18qkQiEZ5LPYneG61URzt4kMR1me7SaAz9+EvHKcssa1DLIAgClz67xOGn/3oSwycVfWb3YfKaySSfS+bAsgMN6pyGvDMEm8E2HFp5qNGCOY8lHmSGZirVz70OkVsisfSwxNKjYc+OoK+CSAxMlNUyWNbf0d7efZvtE7djM8SGpWdkQpV2qA67YXYsO7eMkrQSNg7f2EDMU9duIf5E4+3OPZZ4UF1c3awApClEbolEr6Neo10j447Ece37awR8FdDAZFTucN5Zn5VXVmLW+6/vcA5/E3Kpw4AXBzBtwzSitkexd8HeetJSPSM9hrwzhPzY/EbzMx6LPagtryVmf8tW/w8jM0z2MGpsxxq5NZKIzRFM/GVivQUjSAVO/uMkZ/959i8pMXyS0WtML2ZsnUFudC575u2pV3Crpa3F1PVTqa2o5egLRxuccHtP6o1+F+V7/VQVVRF7KLbRJG7atTTOvn+WIe8MadA//fqv19kzbw99ZvdhwaEFDXaz7VANVp5WLL+4HKlYyoahG8i5XV8J6jjeEYMuBkTvjm7QB8rc2ZweA5QXd9RtMvvM7tPA868kvYQDyw/gPNWZAS8NqPdvdQ7nFn0s/n4O5497ApqG2zw35u6dS9K5JHZM2UFV8QMvKnMXc9kJ5c/oBgV4ne07YzfMTulFFbklEiNLowYdIPPv5nP0+aN4LPGop3eX1EjYv2Q/137460oMn3T08O3BnD/nUJ5bzp+z/qxXcNupRycm/TqJuCNxhP1Rv6WDTgcd+s7rq7QdzO3dt5HWShtIhquKq9i7YC/dfLox8pOR8t8LgsD5j85z7IVjDHxlIDO2zGhUjtoO1WHqYMqKiyswNDdk4/CN3At6kKTX1tWmz+w+VBZUknCqYddTjyUexB9v/GTTFO4F3aMwsbDBJlMqkbJ/8X509HWYun5qve+63OF8dE8Wn1r8t3M4/9uRC4BDgAOLji8i704eW8ZsqedF1WdOHyz7WRK0Oqge8YBsUSWdSWpSsvooJLUSorZH4b6ofhK3rpbB2MqYiT9PlP++pryGHVN3EL3nry0x/CvA3MWcefvmIdIS8eesP+sV3DpNdsLnWR/OvHemQX2T51JPStJKFO6GCvd7dgT0omO3B7tOQRA4+txRKvMrmbVjltwOSCqRcuylY1z48AKj/juKcd+Oa9ZPqh2qw9jKmGXnlmHpYcnWcVvrOR8bdTXCcbwjGdczGhRju813A1BK3BG5JRITWxPshtnV+/3lzy6TfCGZmdtm1gt51jmceyz2YN6+eS06ov8V8bckF5DtXpeeWUpVURWbR22mIF7mRSUSifB7ww9BIhD8TXC90EifOX3Q0tUiartidjAJpxKoyK1oUIl75p9nyI7MZtbOWfIEfZ3E8N6Ve395ieFfBZ2sOzFnzxyMrYzZPWc3adceFNyO/nQ0Zk5mstzMQ3k260HWmDoqLu4oTJQV5z2axL258Sa3dt5i8u+T5d1IxdVi9i3cR+hvoUz5YwpD3xvafmptZeib6LPo2CIcxjqwa8aueiHPbj7dsOhjQeyh2HobTUNzQ3pP7K3wGhBXibm96zbui93rbRRSr6Ry/sPzDPvXMOyH2wOPOJy/7cfU9VP/tl5xf8+7ug9zF3OWnVuGjoEOm0ZtkjupGpgaMPiNwWRcz6jXTlnfRB+XaS5EblaskCpycyRd3bti6fkgiXv3+F2Cvw5mzBdj5IqPv5vE8K8EQzNDZu2chZWnFfuX7JeHQXT0dZi+aTrF94o5/c5p+d/Le/3sUazXT+TWSPSM9XCZ/iCJmxeTx/GXjuP1lBdu82S74OrSarZP2k7MwRjm7p2L96qmnbDboVno6Oswe9dsPJd7cnDFQYK+DgJkn7XTFCe09bS5s/dOvVCox1IPMq7LimJbQtzROKqKquptMisLK9m3cB82g20Y/n/DAZlXXJ3DecBXAQR88fd2OP9bkwvIdq9LTy+lS88ubB23VR7u6N6/Oy4zXLi54ab8VAOyRZVzK4fsiOY72VUVVRFzMAaPJQ/sXkozSzmw7AC9J/Zm0GsyL6i/o8TwrwY9Iz2mbZhGr4BeHHnuiNz91szJjLFfjeXmxpv1DBA9FntQU1ZTb+PRGOR2L7Nc5cl4cZWslsHE1oTx348HZLY/m0ZuIuN6BotPLq5HRO1oG2jpaDH5t8kM/edQTr9zmtPvnkYQBFnbhVl9ZKHQC8nyv3ea7IR+Z8XEHZGbI+nu2x1zF5kBqSAIHF51mOrSamZum4mWjpbM4XyuzOF8+qbp+L3RfN+WvwP+9uQCspPKwmMLsR5kzc7pO7mz/w4AXiu86GzfmcufX5YryxzGOmBoYdjiooreE420Viq3exGkAgeWHkBLR4tpG6chEon+thLDvyK09bSZ8MME3Be6c/qd01z/9TqCIOCxxIM+s/tw/KXjFCUXATL/Olt/2xbFHWlX0yiIL6iXxA18O5C8mDxm75LVMhQlF7HBfwMlaSUsv7BcHh5pR9tDJBIx8uORjPtmHEFfBXFo1SGkYikmtibYj7An5WKKfA0oKu6oyKvg7rG79cKioWtCubPvDlPXTcXE1uSBw/mJeOYfnK9QI8G/A/4nyAVku9e5e+biOsOV/Yv3E7Y2DC0dLfzf9aeqsIrrP18HZEoS94XuMjuYZvq2R26JpOfonnLp4JUvr5B4JpGZW2diZGFE/Im/r8TwrwotbS1GfjKSQa8N4soXV7j4yUUQYMIPEzAwM+DgioNyaarHEg8SAxObbUwWuSWSTtadsB9hD0DsoVhCfgxh7NdjsfSwJDsqm/VD1iOVSFl5ZWWD+oZ2PB7UKfSitkXx5+w/qa2olbVesOvMnX135OFQjyUeFKcWk3KxcWcPeJD0rxMB5NzK4eQ/TtL/+f64znCt53C+9PRSnCb97zic/8+QC8h2r1PXTaX/C/05/spxLv33EsbdjPF90Zeks0kknZU1H/JY4kF5dnmTXeyKkotIuZgi34GkXU3j7L/O4v+ePz1H9SRqexQ7pvx9JYZ/ZYhEIga9NoiRn4zk5oabnHz9JLqGukzfOJ3M8Ewu/uci0LK4Q1wt5tbOW/IkbklaCQdXHMRlugu+L/iSeiWVjcM2YtTViJWXV2LqYNqWt9mOFuC+wJ35B+eTdDaJbRO2UVVchetMV6RiKTEHZfb8Nn42dOnVpdkTbOSWSBwnOGJkYURtRS175u3BtLcpY78e28Dh3Mav8RYbf1f8T5ELyCweAr4MYMRHI7j4n4ucfP0kdsPt6Dm6JyE/hVCaUUo3726Yu5o3uagit0aia6SLywwXqopktQw9BvRgxIcjuPr9VfYt+ntLDP8O8FziyYQfJxB3JI5DTx3Coo8Fwz8YztVvrpJ0LgmDLgY4T3FuUjF099hdqgplSVypRMq+xfvQNdRl6rqp3D16ly1jtmDVz4pl55c122GwHY8PjuMcWXp6Kbl3ctk0YhM1ZTW4THchPzaf9JD0FsUdebF5pIeky0NiJ/5xgsKkQmbvnE1+bP4Dh/Og/02H8/85cgHZ7nXIW0OY9Mskwv4I4+Dyg3g95YWBqQGXP7+MVCzFc6lnox3sBEEgYnMEfWbJKnGPPHuEysJKZm6byfkPz3PytZN/e4nh3wVOk52YvnE6GTcy2LtwL55LPek5qieHVx2mPLccj6UeZEdkkx3ZUNwRuTlSLmW99OklUi+lMnP7TGIPx7Jz+k4cJziy6Pgi9E0a7zTajicDPQb0YPmF5VQVV7Fh6AZAJkeva3/uscSDmtIaYg42FHdEbomkg0kHnKc4c3v3bcJ+D2P89+Mpzy2v73Bu17mN7+rJwP/006/f8n7M2jGLuCNx7F+8nwEvDaAouYibG2/ivsgdcZWYO3vv1HtN7q1cCu4W4LHEg/B14dz+8zaTfpvEpf9e4vJ/L/9PSAz/TrD1t2XWjlkUpxazZ94eRnwyAkEqcOSZIzJxh3lDcUdVURVxR+PwWOJByqUULnx0gWH/N4y0q2myjcpKL+bsnoOOfrtX3F8BFq4WrLi0Al1DXTYO34iBqQFGFkZE74nGxMYEGz+bBidYQSoQuTWSvnP7UpZVxuGnD9NnTh8MzQzbHc7v43+aXACcpzgz/9B8Mm5kcOylY/SZ3YeY/TGUZZXRc2TPBqGxuKNxdOzRESNLI46/cpx+K/oRvSuamxtu/s9IDP9usPSwZO7euYgrxRx99ijDPxxOQmACoWtCcVvg1qDXT8KpBASpgON4R/Yt2oe1nzU1JTWcfvs0Q/8l6y3S7hX314KJjQnLzi+jc8/ObBm7BSNLI6pLqrl7/C4eSz1IOCk7ydQhMzyT4pRi3Be6s3fhXvQ762Prb8vuObtxmd7ucA7t5ALI+jgsObWEkrQSgr4KwszJjOCvg3GZ4ULy+eR63lQJpxLoM7cP+xbtw8TWhIL4AuJP/m9JDP+O6NKzC3P3zaVDpw5c/fYqbvPdOP/Bebr7dqcss4ykM0nyv7177C4O4xw48+4ZqkurMbYyJvibYMb/MJ5Rn4xqP7X+RWFoZsiSwCXYDrFl36J9aOtqkxWeRVe3rmjpaBG144G44+7Ru3Tu2ZmEUwmkXUvDcbwjJ149Qf8X+jNr+6x2h3PayUUOSw9Llp1bhiAViD0YS015DQWJBejo69RzUa4urqYso4z8uHwAcqJy/uckhn9XGFsaM/vP2Zg6mpJ6ORUTOxOufHEFMyezeifYnKgcOlp1JOZADGaOZsQeiGXm9pkMfHngY5x9OzQBPSM95h2YR5/ZfTj93mlKM0pJuZiCwzgHIjc/eA4knk7Ext+Gy59dxnqQNaFrQhnx8Qgm/DCh3SvuPkSCOg2j/4Yoyy5j57SdFMQXYOZkhkhLRFlOGbVTayn7ugyRiQihWMDQ3BBtPW0Wn1z8P6kE+TujtrKWYy8dI/F0IjUlNXRx6EJudC76T+tT9kMZ6ICWSAtDc0Oqi6uZu28ujuPae93/nSBIBU69eYqr31/FcZwjne07c+PXGxgtM6J8k8wtuYNZB3R0dCjPKWfSL5Po/1z/xzzrJwvt5NIIqkuq2T13N6mXU6nqUIV2gTaHOcwUplBLLSJEaHXR4tXQVzHt2V6/8HeEVCwl8J1AIjZHUFFQgUgq4hznGMlIqqlGCy109HV46uxT2Az+36pf+F+BIAhc+eIKZ94/g6SrhNqsWmKJxRNPqqhCBx20tbSZvWM2bnPdHvd0nzi0h8UaQYdOHZh/YD6V1pUIBQJixHgjMxrUQYdccvmq8Cu+XPPlY55pO1oLWjpajP1qLCV9SqiR1iBFijuyfi166FFFFT9X/czPB39+zDNtR2tBJBLh/64/NWNrIAukSOlNbwD00UdAYLN0M1vDtj7mmT6ZaD+5NIHs7GxsetgwQTIBL7wAECEihxzWspYaatDR0SEtLQ1Ly4atbdvx10d2djbW1tZ4i70Zxzi00EKEiHLKWcMaSihpXwN/c9StAQexA3OYgw6yRL0YMetYRyaZ7WugCbSfXJrArl27kAgSDnGITDIRIUvSHeQgNcj6f0ilUnbt2vU4p9mOVsSuXbuQSqWEEEIQQfLf72Y3JcgayrWvgb836tZALLHsYAcCsr34XvaSiayFR/saaBzt5NIEsrOz0daWdQ/8gz8opBCQHY3roK2tTXZ289b87fjr4uE1cIYz5CLrWFjNA9eG9jXw98bDayCBBBKR+Q0WUST/m/Y10DjaxdhNwNLSEolE5pArIPALv2COOXk8aB4kkUjaj8J/Yzy8BkC2yWhfA/9beHQN7GRn+xpQEO05lyZQF2sVi8VN/k17rPXvjfY10I72NaA62sNiTcDS0pI33nij2b9544032hfU3xjta6Ad7WtADQjtaBISiUR45513BB0dHUFLS0vQ1dUVtLS0BB0dHeGdd94RJBLJ455iO1oZ7WugHe1rQDW0h8UUQHZ2Nrt27SI7OxtLS0vmzZvXvlP5H0P7GmhH+xpQDu3k0o52tKMd7dA42nMu7WhHO9rRDo2jnVza0Y52tKMdGkc7ubSjHe1oRzs0jnZyaUc72tGOdmgc7eTSjna0ox3t0DjayaUd7WhHO9qhcbSTSzva0Y52tEPjaCeXdrSjHe1oh8bRTi7taEc72tEOjaOdXNrRjna0ox0aRzu5tKMd7WhHOzSOdnJpRzva0Y52aBzt5NKOdrSjHe3QONrJpR3taEc72qFxtJNLO9rRjna0Q+NoJ5d2tKMd7WiHxtFOLu1oRzva0Q6N4/8B0o+sPfv+TQkAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 500x600 with 86 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model.plot(beta=1000)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "eabf7aa3",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}