247 lines
350 KiB
Plaintext
247 lines
350 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "c982abca",
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"metadata": {},
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"source": [
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"# Interpretability 2: Advanced MultKAN"
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]
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},
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{
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"cell_type": "markdown",
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"id": "6b9ec6c4",
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"metadata": {},
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"source": [
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"In the last tutorial, we introduced multiplications to KANs which makes interpretation easier in the case when multiplications are needed. Multiplication nodes by default takes in two numbers, but can take more variables specified by the user. This is done through the mult_arity argument (by default mult_arity=2)."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "d8f94f0f",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"checkpoint directory created: ./model\n",
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"saving model version 0.0\n"
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]
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},
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x400 with 30 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"from kan import *\n",
|
|
"model = KAN(width=[2,[3,2],1])\n",
|
|
"x = torch.randn(100,2)\n",
|
|
"model(x)\n",
|
|
"model.plot()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "20be6142",
|
|
"metadata": {},
|
|
"source": [
|
|
"mult_arity=3"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"id": "5fbe4670",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"checkpoint directory created: ./model\n",
|
|
"saving model version 0.0\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x400 with 36 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"model = KAN(width=[2,[3,2],1], mult_arity=3)\n",
|
|
"model(x)\n",
|
|
"model.plot()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "f76b85cc",
|
|
"metadata": {},
|
|
"source": [
|
|
"mult_arity=4"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"id": "3f9fa6c9",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"checkpoint directory created: ./model\n",
|
|
"saving model version 0.0\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x400 with 42 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"model = KAN(width=[2,[3,2],1], mult_arity=4)\n",
|
|
"model(x)\n",
|
|
"model.plot()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "ae15bae4",
|
|
"metadata": {},
|
|
"source": [
|
|
"You may want different multiplication nodes to take in different number of variables. This is also possible: pass in mult_arity as a list of lists, specifying the arities in each layer, including input layer, hidden layer(s), and output layer."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "4f81c620",
|
|
"metadata": {},
|
|
"source": [
|
|
"In the following example, we have 0 multiplications in the input or in the output layer, corresponding to empty lists. In the hidden layer, we have two multiplications with arity = 2 and arity = 3, so we have the list [2,3] in the middle."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"id": "1cbc4656",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"checkpoint directory created: ./model\n",
|
|
"saving model version 0.0\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 500x400 with 33 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"model = KAN(width=[2,[3,2],1], mult_arity=[[],[2,3],[]])\n",
|
|
"model(x)\n",
|
|
"model.plot()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "b8992507",
|
|
"metadata": {},
|
|
"source": [
|
|
"Make a deeper network"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "5da9e2b1",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"checkpoint directory created: ./model\n",
|
|
"saving model version 0.0\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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+G0ajEZ988gkqKyuxevVqjBgxIlJWJAxB34F58+ZF1gEfEUmidMD58+dRUVGBIUOGYOPGjWAYBjabDQ0NDQCAkydPYv369QCAjIwMjB07Ftu3b480H7qK4O07MHHiREgkEnzxxReR8NWrBJF1wH9EyMUBVVVV0Gg0qKqqwl133QWr1QrgStQQACxfvhwrVqwAANx9992YMGECfvzxx0h44lUEX96BM2fOoHPnzqLJHIGwiKwD/iNCLg5QKpWw2WxQKBTIzc2F1WoFIQTl5eUwm81ITU1FfHw8ACAtLQ1msxlKpVJkqSMQEpF3IAIAsFqtkXfAD0TIxQEdOnSAxWJBXFwc9u/fD+BK34ybbroJhw8fxgsvvIDp06cDAORyORYuXIiuXbvCZDJBKpVCKpVCJpNBKpVGdjBhCK1WiwsXLqC+vt6rd6B79+6R5x2GIITAaDTCYDBAr9fj8uXLKCoqwokTJ1BXV+fVO+DON3MtIkIuDsjIyEBeXh5Wr16Nf/7zn1AqlWhubmZ7skRFRSE+Ph6EEPzxxx/Ys2cPvvjiC0ilUtYuSyGRSFiioaQTeflCDzU1NThw4AAKCwvx+++/g2EYpKamYtWqVfjggw94vQNLlixBRUUFoqOjER0dDZVKFXnWIQaGYWAwGFgi0ev10Ol0qKqqwsWLF3H58mU0NTVBLpfDZrMhNjYWK1euxIcffujxHdi3b1+korIDIuTiALlcjscffxyTJk3CDTfcgAcffBDAFaKg2gghBNXV1Vi4cCEKCgqQmJgIvV6PuLg4KBQKMAzD/tjtdtjtdpD/n6tKr8MlnUg0UfBx6dIlFBYWYv/+/Th37hzkcjn69u2L+fPn44YbbsC5c+dw77334vPPP8esWbMAuH4HpkyZgqFDh8JsNsNoNEKn00EqlbJEo1arI0QTZNhsNpZE6H+NRiMIIdDpdKitrcXly5dRU1MDiUSChIQE9OnTB3q9HqdOnYJer8edd96JNWvW8HoHJk+ejG7duok869BCJEPfAc3NzXj++eexZcsWaLVaTJ06FbNmzcKFCxeg1WrRrVs3VFZW4u2330aXLl3wzjvvQCKRQKvVwm63IyYmBvHx8VAqleDeWkIISzKUdBwJx9GsFoFwIITgwoUL2L9/PwoLC1FaWgqVSoX+/fsjLy8PAwYMQFRUFKxWKxiGgUwmw4YNG7Bw4UJMmjTJ7Tvw9ttvIy4uDhKJBBKJBBaLBUajEUajEVarFRKJBFFRUYiOjkZUVFTk2QoMi8XSQhsxGAwwm80AAKlUCrlcjoaGBlRXV+PSpUswGo2Qy+Vo3749cnNzkZWVhT///BNbtmxBQ0MD+vXrh4kTJyIrKwvr1q3z+A507twZ7777LuuDieAKIuTCgclkwjPPPIPTp0/jzTffhFQqxVtvvYVff/0VCQkJUKvVqKurg16vxzPPPINZs2axJTwIIdDr9dBqtbDZbIiOjkZ8fHyLyraOt5pcSWJlyYZqOxTONJzIDpg/qMmisLAQhYWFqKysRExMDAYOHIj8/Hz069ePfT5WqxU2mw1SqRQKhQJSqRSEEBw9erTFO6BQKNDU1ITY2FjMmjUL99xzD6Kjo9lnCaAFeVitVpZoLBYLJBIJ1Go1q9VEiMY7mM3mFtqIwWCAxWIBcMXqEBMTg+joaNbcVV5ejkuXLoFhGCQnJyM3Nxe5ubno2LEjGIbBrl27sHnzZhgMBgwcOBATJ05sUTyUEIIjR45g8eLFOHr0KLsOaLVaxMTEYNasWbjrrrugVqsjm0IHRMjl/0Ov12PhwoUoLi7G22+/jd69ewO4ol6Xl5fj/PnzaG5uRkJCAr7//nvk5+dj8uTJra5DCIHBYIBWq4XVaoVarWZfSMfjXMHRrOZIOJHAAdew2+04deoUSyh1dXVISEjA4MGDkZ+fj169ekEu/8sazDAMLBYLCCFQKBQt/kZB34GDBw9i1apVmD9/PoYNG4bY2NhWx9JnRbUYx+tQomlubgaAFkRD7fkRXPk+TCZTKyKhPk2lUomYmBhoNBpoNBpYrVZcvHgRRUVFKCkpgdlshlqtRnZ2NnJzc5GTk4OEhAQAVxIkt2/fjm3btqG5uRn5+fmYMGGCy0ZsNpsNDMPg4sWL7DqQnp6O3Nxc9h2g32mEYP5ChFwANDU14YknnkBFRQXee+89dO/e3e3x27dvx9atW/Hcc8+xL6wzGI1GNDY2wmKxQKVSISEhAVFRUU6PdfYYuIuTo3bDMEwLs9q1HDhgtVpx/PhxFBYW4sCBA9DpdEhJSUFeXh7y8/PRrVu3Vh88IQRWqxV2ux1SqRRKpdLjPSstLcWrr76K//3f/0WHDh1cHsfVYpyRDHBlMTIajTCZTDCZTAAAlUrFEo0zkrtawTAMjEZjC7OWwWBgiVqtVkOj0bQgE2rmLCoqQnFxMWprayGRSJCZmcmSSUZGRovn3tTUhC1btmDnzp0ghGDYsGEYN24cEhMT3crGMAyv5xEhmJa4dt5gF2hoaMDjjz+OmpoaLF++nFci3NChQ7F3715s27YNt99+u8vj6EJhMpnQ2NiI6upqKJVKxMfHIyYmpsWxjgsQd4Gif3fsme6o4dBYfHr81Rw4YDKZ8Ouvv6KwsBCHDx+GyWRCRkYGJkyYgLy8POTm5rokC3qvgCs7YKE1BkoojiTDhUwmQ2xsLGJjY8EwDEwmE7sZaWhogFKpZN8fx+cezrDb7a20Eepop74pjUaDlJQUxMTEICYmBnK5HIQQVFVV4ffff0dxcTHKyspgt9uRkJCA3NxcFBQUIDs7u5WFALjSo2XTpk3Yu3cvZDIZRo0ahbFjxzrVPLmgJmu+3w19j+x2OwBcVd+bL7imyaW2thbz58+HXq/HihUr0KlTJ17nqVQqjBo1Chs2bMCIESPQpk0bt8dHRUUhKioKZrMZWq0WNTU1aGxsZEnG2SLI/R1doBy1G2eEQQMHKOk4I5xwDRzQ6/U4dOgQCgsLcfToUVgsFmRnZ+O2225DXl4esrKy3GofXG1FJpNBoVAEVMOj16Yk40qLkUql7EJKzUFGoxFNTU1obGyEQqFgiSacEvWsVmsLItHr9S0c7dHR0YiNjUXbtm3Z+XPfR51Ox5JJcXExDAYDlEolOnbsiHHjxiE3NxdJSUkun+Hly5exceNGFBYWQq1WY9KkSRg1ahTvVgdUc/LmG4kQzF+4ZsmlqqoK8+fPh9VqxYoVK9C+fXuvzs/Ly8OePXuwdetW/O1vf+N1jlqthlqtRnNzM7RaLWpra1mS0Wg0Lj8SZ1oN97/cYyQSSSsV3jFogLtzB0I7cKChoQEHDx5EYWEhTpw4Abvdjm7duuG+++5DXl4e0tPTeV3HZrOxkVuB0FZcgY8W43g8JRJCSIvwZq1WC7lczkaeOduliwWz2dwq9Jc62mUyGTQaDZKSklizVlRUlFOfFDV1FRUVobq6GgDQtm1b9OvXD7m5uWjfvr3HZ3fx4kX8/PPPOHz4MOLi4nDrrbdixIgRXrWNps/LF3KIEMwVXJPkUlFRgfnz50MqleKf//wn2rZt6/U15HI5Ro8ejbVr12LkyJG8FzngiuaTmpoKi8UCrVaLuro6lmRiY2M9LuyeTGiOx1CfDPejpITjaFajcNRugkk4ly9fZh3yp0+fhkQiQa9evfDwww9jyJAhSEpK4n0tQggsFgtrN5fL5aIQJ18txvEcqvUmJyezREPJRiaTtSCaYMyLalaOREId7QqFAhqNBmlpaayPxBUJEkJQU1OD4uJiFBUV4cKFC2zyYk5ODm688UZkZ2e3MiG7woULF7BhwwYcO3YMSUlJuPvuuzF06FCfzIq+aC1cUL8nTTm4FoM1rjlyuXDhAubPn4/o6GgsW7bMZYQIHwwYMIANZbz//vu9Pl+pVCIlJQUJCQnQarVoaGiAVqtFXFwcYmNjeb/YnkxorsxujoQDtA4coFFN3HMCEThQUVHB5qAUFRVBLpejX79+ePzxxzFo0CCP9nFn4GorKpVK9B2koxbj7c6Yar5JSUlobm5miUav10MqlbbIpRHiuXAd7Vwy4TraY2JikJGRwRKJJ7Od0WhESUkJ64inGfEdOnRAQUEBcnJykJqa6pX8f/75J9avX49Tp04hLS2NbR3t64Luj9bCBT2fajDXGsFcU+RSVFSEBQsWICkpCUuXLvVqB+wMMpkMY8aMwbfffouKigpkZmb6dB2FQoE2bdqwJNPY2AitVovY2FjExcV59VJ6q9U4wpkfxzEsWojAAUIISkpK2Cz58vJyqNVqDBgwALfddhub1OgLqIxUWwk1hzglGXpf+WgxjlCpVFCpVEhMTGyRtGkwGHxK2rTb7S4z2oErwSkxMTFo06YNG7nFN4KqoqKCNXVVVlaCEILU1FT06NGDTWL09hkRQnD69GmsX78ef/75JzIzM/Hwww/jhhtu8JsU6DMRYjNyLRPMNUMuZ8+exeOPP4527drhvffeEyybtm/fvtixYwc2bdrElorxFXK5HMnJySzJNDU1sQl78fHxPr2YfAIDPC1slDC4iwnfwAEu6RBCcObMGdbkVV1dDY1Gg0GDBmHmzJno27ev3w5rbjJkKGgr7kDvib87ZaVSCaVSiYSEBFitVjYggIbn0lyaqKgoyGQyWK3WVhntNBxaIpEgJiYGsbGxSE9PZ4nEG9nq6+tZMrlw4QKam5sRHR2NnJwcDBw4EDk5OYiLi/NproQQHD9+HBs2bMCFCxfQqVMnzJs3D7179xZEW6PPQkgSuFYJ5pogl5MnT2LhwoXo2LEj3n33XWg0GsGuLZVKMW7cOHz55Zc4f/4874gzd5DJZEhKSkJ8fDx0Oh2ampqg0+mg0WgQHx/vcw6EN4EBfK7FJ3DAZDLh9OnTOHjwIA4fPozGxkYkJSUhLy8PQ4cORY8ePQTJ6eCGYrtKhgxFCKHFcKFQKKBQKBAXFwebzYbGxkbU1NSgqKgIRqOxBfHSRMTExERkZmZCo9EgOjra6/HNZjPOnz/P+k4aGhoglUrRvn17DB06FLm5uWjbtq1f82IYBkeOHMGGDRtw8eJFdO3aFU8++SS6desmqK9JiGfgDNciwYTHF+gHjh49iqeffhrdunXDW2+9xTsM0Rv07NkTGRkZ2LhxIx555BHBXkyZTIaEhATExcU5JRl/zT3+mtCcXU8mk8Fut+PEiRPYv38/Dh48CL1ej9TUVAwfPhwDBw5Ely5d2OtaLBbYbDafAwcckyHDtRqxoxbj7QJHI8scQ3+po10qlSIuLo7VQGlVX1+SNhmGwaVLl1gyqaioYMurdO7cmS2v4k10livYbDYcOHAAGzduxOXLl9GjRw/ce++9AWnMFgithYtrjWCuanI5ePAgnn/+efTp0wdvvPFGwEI3JRIJxo8fj88++wznzp1D165dBb2+VCpFfHw8SzJarRZ6vb5FkUwh4I8JzWQy4ZdffkFhYSF++eUXmM1mtG/fHjfffDPy8vKQnZ3ttuIAN3CAb4mbQCdDBht8w5ZpiSGuj8RgMLCLlkqlgkajQbt27VizFnehd5a06SmXRqvVsmRSUlICk8kElUqF7OxsTJo0CTk5OW4z3b2FxWLBvn37sGnTJtTX16Nfv354+OGH3VZG8BeB0lq4oO+yzWYDISRsNGxfcNXObM+ePfjf//1fDBo0CK+99lrAk8+6du2Kjh07YtOmTS125kJCIpGwkWS0SOalS5ecFskUYiwunJGNXq9nc1COHTsGq9WK3Nxc3HnnncjLy3ObO8Q3cIDmSnADBxxDPAOdDBlscMOWufXIuERCnwPNaOfmkHhasFwlbXJzaeRyOWpra1FWVoaioiLWf5ORkYFBgwYhJycHmZmZgvu0zGYzdu3ahS1btkCn02HQoEGtikkGAoHWWrigJmWbzQabzXbVEsxVOavt27fj5ZdfxogRI/Diiy8GJVqIai8ffvghTp06hR49egR0rNjYWGg0GrZIZmVlpcsimUKNCVxx1h44cAD79+/HyZMnQQhB9+7dcf/99yMvLw9paWk+j+EscMAxF8dkMrHVhemGgS4K4V7ixmaztXCycyO2pFIpq4XQHJKYmBi/F0OatBkVFYWqqiqcPn0aZ86cwfnz52Gz2RAfH4+uXbti6NChuO6663yO4PMEb4tJCo1gaC1cXAsEc9XN6Oeff8Ybb7yBsWPH4u9//3tQTSU5OTno3LkzNm3ahO7duwd8oZNIJOxulZJMVVWVxyKZ3qKqqooNGT579ixkMhl69+6NuXPnYvDgwS2Kd/LJQvcGlDBooU6lUslGPbmqOOCYixOKhNPc3Nwq9JeaBmUyGWJiYpCQkIDMzEzWXEUXP6HurV6vZ0urFBcXQ6/XQ6FQoGPHjrjjjjuQmZmJqKgomEwm2O121NbWCt4AzbGY5I033ohx48b5nSbgDYKptXBxtRPMVTWbdevWYfHixZg8eTIWLlwoyqIyfvx4LFu2DCdOnEDfvn2DNi7dyfIpkukJhBCUlZWxIcMlJSVQKpXo168fnnzySQwaNMhtxJ2/gQGOoOHFjsmQrioO0O6foVJxgJvRTsmEyiaXy1sUaqQZ7a58Lf6ELdtsNpSVlbG+k6qqKgBXyqv06dOHLa/ibJGjuTR0Hv4mbdbX12Pz5s3Ys2ePV8UkA4Fgay1cXM0Ec9XM5N///jfef/993HHHHViwYIFoNvisrCx0794dW7ZsQa9evYK+G+IWyaRhqJ6KZAJXFq6ioiKWUCoqKhAVFYWBAwdi2rRpuOGGG3hrQkJFoXF7rXhKhuRWHOAexw0asNvtbPQUIHxvHEKI04x2rqM9JiaGLdSo0Wi88pN5G7ZMCEFtbW2L8ipWqxUajQY5OTnIz89HdnY2r9B8x1wa6geibYL5Jm06FpOcOHEiCgoKAhLFyQdUIxYzGORqJZirYhZffPEFPvroI9x7772YM2eO6M7dcePG4b333sORI0cwaNAgUWRQq9VIT093WySTYRicPn2aJZSamhrExsZiyJAhePDBB9G7d29BAiF8KU/DTYZUKpV+1XhyVuLGXeAAnxI3DMO0Mms5OtpjYmJYR3tMTIxgvj93Ycsmk6mFqUur1UImk6FDhw4YOXIkcnJykJaW5ncuTXx8POLj41sEHNTW1rJz5yZtAsClS5ewYcMGHD58GLGxsbj11lsxfPhw0Ytv+hL2HQhQgqEboKuhJ1NYkwshBJ988glWr16NBx98EDNmzAiJB9KuXTv07t0b27Ztww033CDqTsSxSGZ1dTX27t2L33//HcePH4dWq2WTGvPz83H99dcHdBfnSauhH1cgkyH5BA5wKw7Qxl5lZWVoaGjAyZMnUV5ezs4nOjoaGo0GqampLJEEeidMF0TagZGSyaVLl0AIQUpKCrp3747c3Fx06NAhYEEtcrkccXFxiIuLY++T0WhEXV0dgCuayu7du3H69Gm0adMGd999N/Lz80OidUAoaC1ccPPEaFuIUFjPfEXYkgshBMuXL8e3336LuXPn4u677xZbpBYYN24cFi9ejIMHD2Lo0KGiytLc3IyjR4+ySY1arRaJiYkYOHAghg8fjn79+on2gXHDbi0WC/tR0c6QdGcZaFDCsVgsrI+EJq6aTCYwDIPLly/DarVCoVCgbdu2iIuLY0N/gxk40NDQwJZXOX/+PNvSNycnBzfccANyc3MFK2/kDbgN0P744w98//33+O2335CYmIiJEydi0KBBiIuLC5kFU0xfiytcTQQTluTCMAzeffddfP/993jyySdx2223iS1SK6SkpKB///7Yvn07Bg4cGPSdmsFgYJMajxw5gubmZnTo0AFTpkxBfn4+MjMz0dTUBL1ej4sXL7L5M2KQDNf5rlKpWBn8KU/DBzSjnWvacnS0p6WlsdrI5cuXsW3bNnTp0gXt27dnzWqOCaBC98Zpbm5uUV6lvr6eLa+Sn5/forxKsMjYGWgxyQ0bNuDcuXPIyMjAggUL0K9fP7aKMy3MKnYDNH9L6gcSznww4UgwYUcuDMPgzTffxM8//4znn38eN910k9giucSYMWNYjWHkyJEBH0+r1bJJjcePH4fNZkOXLl1w9913Y8iQIcjIyGhxPLdIJv3xp0imt+D2WnGWDClUYAB1tDv6SKijXalUQqPRtCjU6MwXQHe5VFZqauLbG4dv4ADDMKisrGTL0peXl4NhGCQlJSEnJwfjxo1Dp06dXAYD+FpCxlcQQnDixAmsX78eFy5cQMeOHVsVk5TL5W6TNinRCJkI7A60fXEoL9rhTjBhRS42mw2vvvoqduzYgRdffBFjx44VWyS3SExMxKBBg7Bz504MHjw4IAlotbW1bFLj77//DgDo0aMHZs2ahSFDhnhMQgtUkUxP8KUzJJ/yNI6lUWgiIrcHiUajQfv27dmILSFqtPHpjeMucMBgMLB+k5KSEhiNRqhUKnTq1AkTJ05ETk4Or9wPxxIyQvQlcQXHYpJdunTxWEyS+qhop02q0RgMBjQ1NUEmk7UgmkAsqKGstTginAkmbMjFarXipZdewr59+/Dqq69ixIgRYovECwUFBfjll1+wZ88ejBs3TpBrXrp0iY3w+uOPPyCXy9G7d2889thjGDRoUIukRr5wViSTW79MKIewUL1WaH0mLono9XqYTCZ2105zf1JTU9n/D2ZwhbsSN83NzazfpLi4mC2v0q5dO/Tp0wedO3dG+/bt/bo/wF9alZBajFDFJCUSicsGaDqdDlKpVPCkTeAvrSVcEK4EExbk0tzcjL///e/49ddf8eabbyIvL09skXgjLi4O+fn52Lt3L4YOHep1QiNwZYG4cOECSygXLlyAUqlE//79sXDhQgwcONCn6zpDIItkukqG5AOLxdLKrGU2m1mZqXwZGRlsj3bH64v5URJCcPnyZZZQysrKYLPZEBcXh5ycHBQUFKBjx45Qq9Vs3bTm5mZYLBanZjU+EFqLCXQxSVcN0PR6PZtLQ02Wvs4jnLQWLsKRYEKeXMxmM5555hn8/vvvWLx4MQYMGCC2SF5jxIgROHDgAHbu3MnbR0QIwblz51hCoQUqBw0ahHvuuQc33HBDQO3TQhbJ5CZD8gkvdiwdbzAYWHMStd0nJyezZi1PGeKBDgxwBa6pq6ioqEV5ldGjRyM3Nxdt2rRxmY3v2BvH0Y/DN3DA2+RLR4hRTNJT0iZtgBYdHe0VUYSb1sIFl2BCtawRFyFNLgaDAQsXLsSff/6J9957D7179xZbJJ8QExODYcOGYefOnRg2bJjLLnx2ux2nTp1iCaWurg7x8fEYMmQI5syZg969ewc9Z8bfIpmOnSEd/SYmk6kVkdAseoVCwUZscUuj+DIHLoQuT0Nht9tblFeprKwEAKSnp6N3795sS18+z9CZH4dv4ICrEjfe9oxxLCaZl5eHCRMmIDU11Zfb4zNcJW3W1dWhrq6uBdG4892Fq9bCBU20pMEooTyXkCWXpqYmPPnkkygvL8f777+P7t27iy2SXxg2bBj27duH7du3Y+rUqezvrVYrjh8/jsLCQhw8eBBNTU1o06YN8vPzkZeXh+uvvz4kXiBvi2Q6doakTmtu6K/BYGjhaI+JiWHNWjExMQELUeUTGMA3Cq2uro71m1y4cAEWiwUxMTHIycnBkCFDkJOTI1jnU76BA9zQaGcVB7gk42yuTU1N2Lp1K3bs2AGGYTBs2LCgF5N0BVdJm/X19aivr4dKpXLZAC2ctRYu6PMPdYIJSXJpaGjA448/jpqaGixbtgxdunQRWyS/oVarMXLkSGzevBmDBw9GSUkJ9u/fj8OHD8NkMqFdu3YYN24c8vLy0Llz55C2qborkhkdHQ2z2QytVguz2dzCSUsXM5rR3qZNG5ZIxKpi4Eyr4f7X8RibzYY///wTJ06cQFFREVteJSsrC8OHD0dubq7f5VW8Bd/eOFwy4Wo2lHQaGhrYYpJSqRSjRo3CmDFjfO53H2hwkzYZhmHfM9oATalUttJoQnUh9hbhQDAhRy61tbVYsGABmpqasGLFCkF60ocC9Ho9LBYLfvnlF9xyyy1ITU1Fp06dcNtttyEvLw9ZWVkhTSjOEBUVxTaVqqysxO+//w6j0cgmINKPOzY2li3WGBMTE5IfAoXjM7Db7bh48SKKiopw6NAhnDhxAvHx8cjNzUW3bt3Y8iqhUM6EC2clbgghLTQcWmanpqYGmzdvxuHDhxEVFYWxY8di9OjRolQo9hW0341Go2mRS6PVatHQ0NDi76H2rHxFqBOMhDjaA0REdXU1HnvsMVitVrz//vtuOxmGAxobG3Hw4EHs378fJ06cgN1uR2xsLMxmM1599VX07NlTbBG9QnNzc6uMduqop4mQNG8lPj4e6enpiI2NDTvSbGxsbFVehXZ83Lp1a6tnF27zo7h06RLWr1+PQ4cOISYmBqNGjcLQoUNb+MYcfTihUoeLL7h5TzRhV4ykzUCCbhhCzckfMprLxYsXMX/+fEgkEvzzn/9E27ZtxRbJJ1y+fJlNajx9+jQAoFevXnjooYcwZMgQxMfHY9GiRThx4kTIkgvd+TmG/jo62lNTU6FWq6FSqRAVFQWFQgGZTMYWyayvr4dWq0V8fHxIk0xzczMuXLjAOuLr6uoglUqRmZmJIUOGIDc3F+3atUN5eTmOHz+O+Ph4NsQXCH4Umr8oLS3Fhg0bcPToUSQlJeGee+7B0KFDoVQqWwQNAAi53ji+gDr8pVIpzGZzq6RNWsVZyFyaYMJZ6+9QQEiQS2lpKebPn4+oqCi8//77QY9G8RcVFRVsp8aioiLI5XL07dsX8+fPx+DBg1vZrMeMGYM1a9Zg1KhRAe8N7gnUVu3obKeLi0qlgkajQUZGBhuxpVQq3SZDKpVKpKSksKVlKMnQ0Gaxd1eEkFblVex2OxITE5Gbm4sxY8agU6dOHiPTghWFJhT+/PNPrF+/HqdOnUJqaipmzJiBwYMHtzCd0QAAbtkW+v/uAge4IdHuWhUEGzT0mr5zrpI2hWiAJibo/KiJLBQIRnRyKSoqwoIFC5CYmIilS5ciOTlZbJE8ghCC8+fPY//+/SgsLERZWRnUajX69++P2267Df3793fb/Kh///7YuXMnNm3ahAceeCBoctvt9lbaCNfRTk0/bdq0YYnEmaPdMbzYFVkoFAq0adOGJZnGxsYWJBPMD0Cn07FkUlxcDKPRCKVSiU6dOmH8+PHIzc1FYmKiXwuKUFFoQsJZMcmHHnoI/fv3d0vyjmHLXOLggk/ggGM+TrDgqX2xq6RNg8HgVQO0UEGoEYyo5HL27Fk88cQTSE9Px5IlS0QpE84XhBCcPXuW1VCqq6sRExODwYMH4/7770e/fv14OwqlUinGjh2Lr7/+GqWlpYJlOHNhtVpbaSMmkwkA2NIo3GKNnnIEAO+TISnkcnnQi2RarVaUlZWxvpPLly9DIpGgbdu26N+/P3Jzc5GZmRmwD9DbKDShwaeYpCfwSb70tjcON1KNSzqBgDcJo66SNmlZHmpa4zZAC0WEEsGIRi6//fYbnnrqKXTs2BHvvvuuYLkAQsJms+H3339HYWEhDhw4gPr6eiQkJGDIkCHIz89Hz549fQ6h7dOnD3bs2IHNmzfjoYce8kvO5ubmVkRCTRYymQwxMTFISEhAZmYmSyTeLGyEEDYz2FkyJF9wi2TSAplCFcmkUU+UTEpLS2Gz2RAbG4vc3FwMGzYMOTk5orXTDZYJzVkxySeeeALdu3f3+freJl86IwxvKw74uyh60lrcwTFpk0ae0QZofJM2xUKoEIwo5HLs2DEsXLgQ1113HRYvXizaB+8MFosFx44dQ2FhIQ4dOgSdTofU1FQMGzYMeXl56NatmyA7LYlEgnHjxmH16tUoLi5GTk4Or/McM9q5jnYaApySktKiNIo/cEyGFCIfRSaTITExka3E7Fi/jG+xRoPBgJKSEtYRr9PpIJfL0bFjRxQUFCA3NxcpKSkhaTv3ZELzVmabzYaDBw9i48aNqK6uxvXXX+9TMUl38nLrlHkro6eKA0IHDghVrFMul7O5NHa7nSUaPkmbYiIUCCbod+PQoUN47rnn0Lt3b7z55pui99AGrizYR44cwf79+3HkyBGYTCZkZmZi4sSJyMvLQ05OTkAWqOuvvx7t27fHxo0bMXfu3FYLDnU0cjPa6cuiUqkQExODdu3asYmIQoZVEkJgtVrZbniOvVaEgLdFMu12O8rLy1nfSWVlJQghSEtLQ8+ePdnyKoFq6Rso+KPVWCwW7N+/Hxs3bkR9fT369u2L2bNno2PHjgGVVYieMVzC4T4zbtAAbXtNwac3jj9aizvIZDI2V4ZhGJZonCVthsI7yCUYQkjQyS+oo+3duxf/+7//i4EDB+K1114TNZlJp9Ph0KFDKCwsxNGjR2G1WpGTk4M77rgDeXl5QcmxkUgkGD9+PD766CP8+uuvyMjIaEEkXEd7TEwMkpKSWCIJ5MvL3UHy7bXiD1wVyYyKimIJpbi4GOfPn4fFYkF0dDRyc3MxaNAg5OTkhFWyHx/wCQxobm5uUUxy4MCBmDhxYquGcIGSzx8txhNclbhxDBzg9sZxLG0T6PBoWonbsQFaU1MTGhsbQyaXht4HbkXlYCFoI23fvh2vvPIKhg0bhpdeekkUZq+vr8eBAwdQWFiIkydPghCCbt264f7770deXh7S0tICLoPNZmth1tLpdACA1atXY9q0aaw5KzU1lSWSYKm0njpDBhoSiQQKhQJNTU34/fffcerUKTQ2NkKpVKJz584YNmwYcnNzkZ6eHpKmrkDAcZ60mOTWrVvZYpITJ04UJXxfSC3GE/gGDtD/l8vlLNkEOnBAImnZAI3m0uj1+lYN0MSw1EgkrdsmBwNBGWXjxo14/fXXMWbMGLzwwgtBtf9VV1ezIcNnz56FRCJBr1698Mgjj2Dw4MEBLcZnsVhaZbRTRzvd+SQmJmLatGn46quvoNFo0KdPn4DJ4w7czpDe9lrxBwzD4NKlS6wj/uLFi2AYBsnJyRg0aBDatWvHNj+jRTKvFWLhQqfTYcuWLdi5cyfsdjtbTDIxMRGAeImcQveM8QbOCMNms8Fut7NRbo5+HGdFPIUEDWGOiopCcnIySzSBboDGR65gE0zAR1i3bh0WL16Mm2++Gc8880zAXzxCCMrLy9mQ4ZKSEigUCvTr1w9PPPEEBg4cGBAzCu1BwiUS+lJTRzu3UCM3SSsnJwcnT57E1q1b0atXr6DG1AvVGdIbaLValkxKSkpgNpuhVquRnZ2NSZMmITc3t1U3TccimQkJCSEVCBIoNDQ0YNOmTdi7dy8kEglGjhyJsWPHOi0mKWZujb89Y4QAnbdSqWxlWgxU4IAnhFLSZrAJJqBX//e//433338ft99+OxYsWBCwRZMQgqKiIrYPSkVFBaKiojBgwADceeed6N+/v2D966mj3TH0lzralUpli/wRjUbDy+Y6fvx4LF26FEePHkX//v0FkdUT+CZD+guLxYILFy60aulLy6vk5OQgIyPD7fh0N2g2m9HY2IjLly+zIaMxMTFXnTZTU1ODn3/+GYWFhVCpVBg/fjwKCgrcdhwVO7cGcJ58GSy4IrVABQ54C27SprMGaMFI2gwmwQTsyl9++SU+/PBD3HPPPXjkkUcC8lJbrVasXLkShYWFqKmpQWxsLAYPHoxZs2ahT58+ggUMWCwWlJWVsRnt3B4kGo0GSUlJrK/E151/ZmYmevbsiS1btqBv374BNR36mgzpLU6cOIFjx46hrKwMdrsdCQkJyM3NRUFBAbKzs32yP6vVaqSnp6O5uRmNjY2ora1FY2MjEhMTBWv1LCa0Wi3WrFmDQ4cOQaPRYOrUqRgxYkRIN0lzNm6wtRiGYbyOEOPTG8cxcEAmk0Eul/v9zbhqgFZbWwvgymYqLi4uID4aSjCUUANVqkfQqsi//PILMjMzWdOUSqVq5ST31xlbXV3d4t9nz55FVFQUEhMTERsbC0KIIA7fxsZG9sEyDIOioiJ298z98XecP//8ky15YzQacfr0aVx//fUtNC1/y5LQOXD/32KxtEqGFGIRKC4uZv1YpaWlaGpqQlJSEpKSktg5CeE3MZlMkMvlsFqtbH6Lo6nI317jp0+fbuEo1+v1OHbsGPr27csm/SYnJ/s9F7qgAFd8BidPnkR6ejrS09MhlUpht9uRmprq9zjcT91dlJfQ47jSYIQcxx25+DuOzWZrETwglUpbbVz9/XZMJhMUCgWbS2MymVrlqQlBAo7PhqYaONP2/IWgW9bffvsNOTk5SEhIQHp6upCXZpGSkuL238uXL8djjz3m9zh6vR4qlYolmEBVML548SJiY2ORmpqKhISEgBWydLRBq1Qq1s8iJKqqqhAdHY20tDT06tVL0GtzYTabERcXx5J8IFBZWQm5XI7c3FwAV0gxKSnJ677tnuAYVDJ69Gj2/+12O7777jtMmzZNsPGA4Dn9g+V7cfY8aASbv3Cm4XBhsVj8tpJYLBbI5XK2DE0wSmFRDYYLIbt1Cqq5EEKwYsUKzJw506WJQqgH7gzfffcdRo8ejbi4OEEY/uLFi0hJSXHpMxFiLoQQ7N+/H506dXKZoyDkPbPb7az9mCZK0g9DqPkcOXIE6enpLnOFhBqnvr4eiYmJLj8GIcY5cuQIpFIp+vXrF7AxXMFqteK7777D7bffLviu1dW1hHo2wRjH3fjc6wdyHC6x+DMOIQRNTU1uEzADfc+4xCLEOIJ6jSQSCebOnYuPPvqItVMGCzt37kTv3r0FY3yJRIKMjAxUVla2cPQJDYlEgqFDh6K0tBQVFRUBG4eC2sDp2AqFopUd3h9IJBIMGDAA9fX1OH/+vGDXdTZOUlISGhoaBJXfETQYpLCwMGBjOAMlljvuuEMw7dJZcmYgEKxxnCEYOTd0HEosQoxDE4mNRmOLSLZggEssQt4zwUMSJBIJFixYgGXLlgV0UeZi3759bC8OISGRSNChQweUlZW18FkEAnl5eaioqEB5eXnAxnBmBpNIJC36cgiF3r17w2AwoKioSPBrU1CCqa+vD+gi1q1bN6SlpWHv3r0BG4MLi8XCEovQgR1XM8GEK7FQiEEwgSIWIADkAlyxUS5YsADvv/8+G6IbKOzcuRMxMTEBSz6USCTo1KkTzp8/H/CPZPDgwbh06VLACMZisTh9gQJVhqdHjx5obm6+KggmJycHmZmZAScYq9WKtWvX4s477wxKO4CrhWDCnVgogkkwgSQWIEDkAlyJ1Jk7dy6WL18eEA2GEIINGzYgLS0Nffv2Ffz6XASTYAYNGoSKioqAmMhckQjNTQgErr/+ejQ3N6OkpCQg1weCZyLr1KkT2rVrh4MHDwbk+larFf/9739x5513Bjw/5GoimKuFWCiCQTCBJhYggOQCXEkamjNnDj744ANBfTCEEPznP/9Bz5490b17d8Gu6w5SqRQdOnTAhQsXAk4wQ4YMQVlZGS5duiTYNWmypCsEwjRGcf3118NgMKCsrCxgY0gkEiQmJqKhoSGgJsycnBzExcXht99+E/S6wSQWiquBYK42YqEIJMEEg1iAAJMLcIVgHn74YXz66adobGz0+3p2ux2rV6/GmDFjkJWV5b+AXkAmkyErK4ttRBVI5OXloaSkpFVej6/wZJ4M9ILWs2dP1NbWoqqqKmBjUILRarUBfT7du3eH2WzGhQsXBLmezWbDmjVrAmoKc4VwJpirlVgoAkEwwSIWQOBQZNpGF/irtAINq2MYBl999RVmz57t16RWrFiBu+++221ug6+dErlwXIxp/SvgrzDlrKwsv8dx1OgMBkOLMO5du3ZhzJgxgoaHuoOQ87FYLK0q2RYWFmL48OGCJ4U6JtBptVq/kzU9aXPbtm3DxIkT/Z7LqlWrWhCL0WhsVTdNiIUtWO+Ap3GEIgRu5KM7+DtOc3Nzi3B9V9f0ZxxP2nZTUxPi4+MFWde4G0lX4c2CRMAJSS4NDQ0A/qr1pVQqW/WH9/eDr62tbVV2my789KYJ8RC4i6TZbMa5c+fQsWPHFlngQpSk1+v17P/X1NTg9OnT6N+/fwuCEaJ2luNjdpUsJeR8Tp06BZPJ1KpWmhDz4ZJ/dXU15HI5W+mAwt/dWVNTU4t/MwzDLvz03sXGxvo9l4aGBpZYDAYDjh07hm7durWYjxDjOL4DgVpYxCAxdx0XhSQxo9EIqVTqtCyLP+M4bmYJIWztL3pdIbQNxwx9Wv7FcS0IuTyXxMREJCYmIikpCZcvX8bcuXNRU1PD/l6IMiZt2rRBQkIC+9PQ0IDZs2ejoaGB/Z0QN4ZmyiqVSly8eBHAlVIf3N8LMQ4tbqnRaJCVlYWTJ09i06ZNLX4vVBw9/aFqPncHKZRpgcqs0+nw888/Iy4ursVchJoPzZqWyWSs6YCWsqA//o4TFxfX4ker1eLFF1+EVqtlfyfEXBITE9nrfffdd9i7dy+ysrJajC30O8B93kK/A47Xc/aeCTkOBV18hR6He12lUsl2dhRyHO57K5PJwDAMqqur2d5KQtX/cnwutDCn0PcMCKDPZcKECWjfvj0+/fTTQA0RFOj1etTV1QliAvMEmUyGsWPH4vfffw9KQmUgsWPHDiQnJwelPw3tzCmET09MXLhwAcePH8ctt9wSFN9LMP0HgQTVLIIRCKFQKCCVSoOeJC40HDPyA4GAXVkmk2HWrFnYv38/Tp06FahhAo4LFy4gOjq6VQ2zQKFv375ITU3Fpk2bgjJeIFBeXo5z585h5MiRQfngJRIJEhISYDQaAxr1Fmh8//33aNeuHQYNGhTUcYOdRS8kxCjtr1Qq2aZk4QraUC0syQUACgoKkJOTg48++iiQwwQMWq0WjY2NQdFaKKRSKcaNG4c//vgjoOVTAont27cjLS0NPXr0CNqYMTExUCqVrN8v3HDu3DmcOnUKkydPDupCGe7aixiNyeRyeVhrL8Ei5IBeXSqVYvbs2fj111/x66+/BnKogKC0tJTtIBlM9OzZExkZGdi4cWPY7SpLSkpw/vx5FBQUBH3hSkhIgNlshtlsDuq4/oIQgu+//x4dOnRwWSAzGDKEG8TQWiio7yUctZdgaC1AEPJchg4dim7duuGjjz4Kqxe4oaEBTU1NraLdggGJRILx48fj/PnzOHfuXNDH9xWEEGzfvh0ZGRno0qVL0MePjo6GSqUKO+3l1KlT+PPPPzFlyhRRNIlw1V7EaqcMhK/2Qgk5GD69gJOLRCLBQw89hFOnTgW9sqw/KC0tRVxcHBITE0UZv2vXrujQoQM2bdoUNqR87tw5VFRUiKK1UCQkJLC9ysMBVGvJyckJqhnRlSzhAjG1FgqVStWqPXKog2otwfg+g/JkBgwYgD59+uDjjz8OeHVhIVBXVwe9Xi+K1kIhkUgwYcIEVFRUhEVABNVaOnbsiOzsbNHkiIqKglqtDpvIsWPHjqG0tBS33nqrqBpEuGkvYmotFDREOFy0F19aQfuDoJCLRCLBww8/jKKiIuzatSsYQ/oMQghKS0uRkJAQlG5w7pCTk4POnTtj06ZNIU/Kp06dQnV1tahaC0VCQgIsFgsMBoOocngCwzBYt24dunfvjq5du4otDoDw0F5CQWuhUCqVYBgmLLSXYBNy0J5Or169MHjwYHzyySch7QSrqamB0WgUVWvhYvz48aiursbx48fFFsUlGIbBjh070Llz56DXe3MGtVqNqKgoNDY2hvRiefjwYVy6dAlTp04VWxQA4aO9hILWQhEu2kuwtRYgiOQCAA899BDKysqwefPmYA7LG4QQlJWVISkpCbGxsWKLAwDIyspC9+7dsWXLlpAl5RMnTqCurg4FBQVii8IiMTERVqs1ZLUXu92OH374AX369EGnTp3EFqcFQpmQ6SIZCloLhUqlAsMwQe8g6Q2CVaySi6A+oa5du2L48OH4/PPPQ/JBVFdXw2w2h4zWQjFu3DjU1dXhyJEjYovSCjabDbt27UL37t3Rtm1bscVhoVQqER0dHbLay/79+1FbW4spU6aILUoLhII24A6hpLVQ0OKsobimAeIRctDpf/bs2aiqqsL69euDPbRbMAyD8vJypKSktCgaGQpo164devfuja1bt4acbffo0aPQarUYNWqU2KK0QmJiImw2W4timqEAq9WKn376CQMGDEBmZqbY4jhFKBIy9TuGktZCQX0voUgwYmgtgAjk0qlTJ4wdOxarVq0KqVIdVVVVsFgsIeEzcIZx48ahqakpYF0QfYHVasWePXvQq1evoJXH8QYKhQIajSbktJfdu3dDq9Vi8uTJYoviFKGkFXARiloLBdVeQs33IqYZUZQtwKxZs1BfX4+1a9eKMXwr2O12lJeXIzU11W2fGDGRkpKC/v37Y/v27SHzAh8+fBgGgwEjRowQWxSXSEhIgN1uh06nE1sUAFd6g2zYsAF5eXlIS0sTWxy3CCVCDmWthUKpVIIQElLaC+3fIgYhi/KkMjIycNNNN+HLL78MiWS3yspK2Gw2tG/fXmxR3GLMmDEwmUzYv3+/2KKgubkZ+/btQ79+/ZCUlCS2OC4hl8sRGxsLrVYbEuHc27dvh9FoxE033SS2KG4RatqBWKYdbyCVSqFQKNh2FmJDbEIWbRswc+ZMGI1G/Pvf/xZLBABXHNIVFRVIT0932gAolJCYmIhBgwZh586dLbp+ioEDBw7AYrFg+PDhosrBB/Hx8WAYplXzr2DDaDRi06ZNGDZsWNDr1fmKyCLpHUJJexFTawFEJJfU1FRMnToV33zzjagf/cWLF8EwTMhrLRQFBQWsr0MsmEwmFBYWYsCAAS06c4YqqPbS1NQkqvayZcsW2Gy2kNdaKOiiJDbBBLrviJCQSCRQKBSwWq2i3jd3nTmDBVGf2H333Qe73Y6vv/5alPGtVisuXbqEdu3asT2yQx1xcXHIz8/H3r17Rcvh2LdvHwghuPHGG0UZ3xfEx8eDEAKtVivK+DqdDlu3bsWoUaNEr/wQTggnrYUiFLSXUCBkUUdPSkrCHXfcgTVr1qCuri7o49Nuj6EaDuoKI0eOBADs3Lkz6GPr9XocOnQIgwcPDrmQbXeg7ZCbmppESUbduHEjW+06nCC29hIKi6S3oO2QxfK9hILWAohMLgBwzz33QC6X48svvwzquBaLBZWVlcjIyIBcLg/q2P4iJiYGw4YNw/79+4NuUtyzZw9kMhny8vKCOq4QiI+Ph0QiCbr20tDQgB07dmDs2LHQaDRBHTucEY5aC4VCoYBEIgl6ZGcw2hfzhegSxMbG4m9/+xvWrVuH6urqoI1bVlYGqVSKjIyMoI0pJIYNGwaFQoFt27YFbUytVosjR44gPz8/ZEO23UEqlSIuLg46nS6oyagbNmyASqXCmDFjgjamkBBLewmVRdIXiOV7oYQsttYChAC5AMCdd96J6OhorFq1Kijjmc1mVFdXIzMzMyQegi9Qq9UYOXIkDh8+jPr6+qCMuXv3bqjVagwePDgo4wUCcXFxkEqlQdNeamtrsWfPHkyYMCEsCZki2BFH4ay1UARbe6FaS6isaSHx5KKjozF9+nSsX7+e9YMEEmVlZZDL5WjXrl3Axwok8vPzER0dja1btwZ8rLq6Ohw7dgw33nhj2AQ/OINUKkV8fDx0Ol1QHK4//vgjNBpNSJbH8QXB2IWHkmnHH1Dfi9VqDUqUYqgRcmhIAWDq1KlISkrCZ599FtBxjEYjLl++jPbt24fMQ/AVSqUSo0aNwq+//orLly8HdKxdu3YhJiYG/fv3D+g4wUBsbCxkMlnAG4pVVlbiwIEDmDRpUlgTMkWwtJdQWyT9QbC0l1DTWoAQIheVSoUZM2Zg69atKCkpCdg4ZWVlUKlUSE9PD9gYwcTgwYMRHx+PLVu2BGyMy5cv47fffsPw4cOhUCgCNk6wIJFIkJCQAIPBENCP/ocffkBiYmJYJJp6g0BqL6HUCEwoKJVK2Gy2gGovtO5aKN230JEEwE033YT09HR8+umnAbm+Xq9HbW0tsrKyQuoh+AO5XI7Ro0fjxIkTuHTpUkDG2L59OxISEtCvX7+AXF8MaDQayOXygGkvZWVlOHLkCG6++eawi0Z0h0BrL6G4SPoLhUIBqVQasI1MqJoRQ0oahUKBWbNmYffu3Th79qzg1y8rK0NUVBRSU1MFv7aY6N+/P9q0aYNNmzYJfu2LFy/i7NmzGDFiREip3P6Cai9GozEg1bnXrVuHtLQ05OfnC37tUEAgtJerUWuhCKT2YrfbQ5KQQ0saXCkt36FDB3z88ceCXlen06G+vh5ZWVkhXfzOF8hkMowdOxZnzpxBaWmpoNfevn07UlJS0KtXL0GvGwrQaDRQKBSCay/FxcU4efIkJk+eHHIfvBAI1PcTyiX1/YVcLodUKhV8IxPKhBxyEkmlUjz44IM4dOgQTpw4Idh1L1y4gJiYmJDsOyIE+vTpg/T0dEG1l9LSUhQXF2PUqFEh+fIKgYSEBJhMJpjNZsGu+f333yMzMxMDBgwQ7JqhCCG1l1BeJIWCUqmE3W4XtEJEqGotQAiSCwCMGDECnTt3xkcffSTIC9zY2AitVhuyjcCEgEQiwbhx41BUVISioiK/r0cIwbZt29C2bVt069ZNAAlDEzExMVAqlYJpL2fOnMHZs2cxZcqUq3IHTiH03K5mrYWCai9C+V5CnZBDUiqpVIqHHnoIJ06cwOHDh/2+XmlpKWJjY5GcnCyAdKGL66+/Hu3bt8emTZv8JuXi4mKUlZWhoKDgqv7ggSutDMxms99tDAgh+P7779GpUyf07t1bIOlCG0Js/kJ9kRQSQmovoay1ACFKLgAwZMgQ9OjRAx9//LFfL3B9fT10Oh06dOggoHShCVoYsbS01K+ACEIItm/fjvbt2yM3N1dACUMTUVFRUKlUfmsvv/32G0pKSjB16tSrnpAB4bSXa0FroZDL5ZDJZH77Xighh3KQTciSi0QiwcMPP4yzZ89i7969Pl+ntLQU8fHxSEhIEE64EEbnzp2RnZ3tl/Zy9uxZXLp0CaNHj74mPnjgivbS3Nzsc2dUqrV07dr1qjYjOoM/m79rSWuhUCqVYBjGr/p2VGsJ5e8zpJ9ov379cMMNN+CTTz7xKYSvtrYWBoPhmtBaKKj2cunSJfz2229en88wDHbs2IHs7Gx07NhReAFDFGq1Gmq12mft5ciRIygvL7/qfS2O8Heu15LWQiGTySCTyXz2vTAME/JaCxDi5AIADz/8MEpKSryu/ksIQWlpKRITE8OiW6KQ6NSpE7p27YrNmzd7Tcq///47Ll++jIKCggBJF7pITEyExWLxugkbwzD44Ycf0KNHD3Tu3DlA0oU2fNFerkWthcIf7SVcCDnkn+r111+P/Px8fPbZZ149iMuXL8NkMl1TWgsX48ePx+XLl3H06FHe59jtduzcuRNdu3YNuwZqQkClUiE6OhqNjY1eLZYHDhxAVVUVpk6dGkDpQhe+LnLhskgGAjKZDHK53GvtJVy0FiAMyAUAZs+ejYqKCmzcuJHX8YQQlJeXIzk5+ZptzpSZmYkePXpgy5YtvCNTjh8/jvr6+qumgq8vSEhIgNVqhV6v53W8zWbDTz/9hH79+l2zGxkKbwiZLpLXotZCQbUXb6pz0zIv4UDIYfFkO3fujFGjRuHzzz/n9SCqqqpgNpuv+Y99/PjxaGxs5BXObbPZsGvXLvTo0eOqKerpC5RKJWJiYqDVanktlnv37kVdXR2mTJkSeOFCGN4udtey1kIhlUq90l7CjZDDQ0oADz74IGpra7Fu3Tq3xzEMg/LycqSmpiI6Ojo4woUo0tLS0LdvX2zbts0jKR85cgQ6nQ4jR44MknShi4SEBNhsNuh0OrfHWSwWrF+/HoMGDQr73kBCgQ8hX00l9f2FUqkEIYTXptlut4eN1gKEEbl06NAB48ePx+rVq92W6qisrITVar2qs/G9wZgxY6DX61FYWOjyGIvFgj179qBPnz5o06ZNEKULTSgUCmg0Go/ay86dO6HT6TB58uQgShe64LvohZNpJ9CQSqVQKBSwWCxu37VwJOTwkRTAAw88AJ1OhzVr1jj9u91uR3l5OdLS0qBWq4MsXWiiTZs2GDBgAHbu3OkycevQoUMwm80YMWJEcIULYSQkJIBhGDQ1NTn9u8lkwsaNGzF06NCrtl6dr3BcJLn/potkhFj+gkKhcKq9cO9buGktABBWjSbatm2LW265BV999RWmTp3ayll/8eJFMAyD9u3biyRhaGL06NE4cuQI9u7di9GjR7f4m9lsxr59+3DDDTdcM4mmfCCXy1ntJTY2ttWOcdu2bTCbzbj55ptFkjA0IZFIYLfbUVxcjM2bN+PEiRNs1OaoUaMwcOBAaDSasFokAw2qvTQ3N+P8+fPYsmULjh07hoaGBnTp0gUFBQUYNGhQ2KVUhJXmAgD3338/mpub8e233wIAGhoaYDAYUFNTg4sXLyI9PR0qlUpkKUMLCQkJGDJkCHbv3g2j0Yi6ujoUFxejrq4OhYWFsNlsGDZsmNhihhwSEhJACGG1l4aGBjQ1NeHSpUvYsmULRowYgcTERJGlDC0YDAa8/vrrmDhxIjZv3oyOHTti4MCBMJlMeO6553DXXXfh9OnTYosZcrBarVi8eDEmTZqEzZs3Izs7GyNGjIDFYsHf//533H333Th16pTYYnoHEoZYtmwZ6dOnDxk+fDgBwP7ccMMN5KeffhJbvJBEU1MTufPOO0nv3r1b3LPs7Gzy2muviS1eyKKuro6sWrWKjBo1qsV9y8jIIP/973/FFi+kYDKZyNy5c0mfPn3Ixo0bidFoJAzDsD8XLlwgL7/8Munbty85efKk2OKGDOh9692791V138KSXF588UUCgEgkkhYfvFQqJQDIG2+8IbaIIYfXX3/d6T2j/47cM+d47bXXWrxbkXfNNb744gvSuXNnsn//fvLUU0+RxYsXk+bmZsIwDDl69CgZOXIkWb9+PXnttdfIhAkTiF6vF1vkkMDVet/Cjlx+/vnnFh+5q5+NGzeKLWrIIHLPfEPkvvGHXq8nQ4YMIe+++y75+uuviUqlImq1mixatIgcPnyYdO/enQAgQ4cOJWVlZWTIkCFk06ZNYostOq7m+xZ25DJq1Cgik8ncfuwymYyMHj1abFFDBpF75hsi940/fvvtN9K+fXvyxx9/EK1WSx588EEik8mIWq0maWlpBADJzc0lBw8eJAzDkJdffpk8/fTTYostOq7m+xZW5FJbW8trJ0l/amtrxRZZdETumW+I3DfvsHXrVnLdddeR+vp6wjAM0Wq15NZbb2XvT5s2bcjevXsJwzCEEEK+/vprMmXKFPbf1yqu5vsWVtFiDQ0NAT3+akTknvmGyH3zDkqlEjabjS0uW1xcjDNnzrB/1+l0KCwshNVqBSHE5745Vxuu5vsWVuTibdhnJEw0cs98ReS+eYcOHTrAYrHgzz//xMmTJ3HvvffizJkzyM3NxeTJk2Gz2fDSSy9hyZIlsFgsOHz4MPr06XPN57tczfctrMglOTkZBQUFHstNy2QyjB49GsnJyUGSLHRB75mnshGRe9YSFouFVymcyH27kkleXFwMi8WCTz/9FCdOnEBZWRlyc3Pxr3/9C1988QVmzpwJq9WKH374AUeOHMHGjRtx++23iy266MjIyEB+fv7Ved9ENst5jY0bN0YieLxEJOqJPxiGIV988QVJTEwkiYmJkfvmBgzDkJ9++onk5eURAKRz586kTZs2ZOnSpWTVqlXk8OHDbK6GVqslr776KtmxYwcZN24cueuuu4jdbhd7CiGBTz75hERFRV119y3syIWQv3I2HH9oZE8k96Al3nzzzVb3KHLPWqOiooJMmjSJACD33nsvqa2tZd+1yH37C1arlXz11VekZ8+eBADJz88n69evJ3a7naxdu5a0adOGzJ07l5w8eZLodDpiNptJTU0NWbt2LRk4cCAZMGAA0Wq1Yk8jJPDRRx8RmUxGevbsSVJSUq6q+xaW5EIIIbfffjtRKpUtPvjRo0dfs7tIV1i5ciUBQF588UWyceNGMnr06Mg9cwDDMOTzzz8n8fHxpG3btuSHH35o8ffIfbsCk8lEPvjgA5KdnU0AkPHjx5M9e/a0OIZhGDJixAiiVCpJcnIy6dmzJxk4cCDp2LEjSUpKIvPnzycGg0GkGYQOrFYreeyxxwgAMnfuXNLc3EyOHDlChg0b1uq+JSYmhuV9C1tyue6668gDDzxAamtryZ9//nnNh4I6w/r164lMJiMPPfRQi9DFyD37C2VlZWT8+PEEALn//vtJfX29y2Ov1fum1WrJokWLSHp6OpFIJOTOO+8kR48edXrshg0bCADy9ddfk5KSErJ27Vry6aefkh07dpCmpqYgSx6aqK+vJ2PGjCEymYz885//bPE3q9XK3rdFixYRAGTVqlUiSeofwpJczp07RwCQ77//XmxRQhaFhYUkKiqKTJkyhdhsNrHFCTkwDEM++eQTEhcXR9q1a0fWr18vtkghh8uXL5MXXniBJCQkEIVCQR588EFy7tw5l8ebTCaSnZ1NRo8eHRZ5GGLgjz/+IF26dCFJSUlkx44dHo/v1asXueeee4IgmfAIS3J55513iEqlCpsaO8HGqVOnSGJiIrnxxhuJ0WgUW5yQQ2lpKRkzZgwBQB544AHS0NAgtkghhdLSUjJ//nwSFRVFYmJiyJNPPkkqKio8nvfyyy8ThUJBzp49GwQpww+bN28mCQkJpFu3bqSoqIjXOS+88AJJTEwkVqs1wNIJj7AklxEjRpAJEyaILUZIoqysjGRmZpKePXtGFk0HMAxDPvzwQ6LRaEhmZuY15zPxhDNnzpAZM2YQuVxOEhMTyUsvvcTbBFhUVERUKhV5/vnnAyxl+IFhGLJ06VIilUrJxIkTSWNjI+9zDx48SACQ3bt3B1DCwCDsyKW+vp7IZDLywQcfiC1KyKGuro50796ddOjQgVy8eFFscUIKJSUlbNn82bNne/WBX+345ZdfyK233kokEglp164deeedd4hOp+N9PsMwZOLEiSQrKytiTXBAc3MzmT17NgFAnnrqKa9N1Ha7naSlpZGnnnoqQBIGDmFHLl999RUBQMrLy8UWJaRgMBhIXl4eSU5OjpglOLDb7WT58uUkJiaGZGVlkS1btogtUkiAYRiyY8cO1jyYm5tLPvnkE2I2m72+1rp16wgAsnbt2gBIGr6oqakhw4YNIwqFgnz++ec+X2fWrFmkS5cuAkoWHIQdudx1112kb9++YosRUrBareSmm24i0dHR5NChQ2KLEzIoKipiG8rNmTMnEq1ErpDtunXryKBBgwgA0rt3b/Ltt9/6HPRhMBhIhw4dyPjx4yNOfA5+++030qlTJ5Kamkr27dvn17Uoef/xxx8CSRcchBW5WCwWEh8fT1566SWxRQkZMAxDZs6cSeRyecSH8P9ht9vJ0qVLSXR0NOnYsSPZvn272CKJDovFQr744gu2P8iNN95Ifv75Z78J4YUXXiAqlYr8+eefAkka/vjxxx+JRqMhvXv3JhcuXPD7enq9nqjVavL2228LIF3wEFbksn37dgKAHDlyRGxRQgbPP/88AUC+/PJLsUUJCZw7d47ceOONBACZN2+eV76DqxFGo5EsX76cdOjQgQAgkyZN8nsnTfHHH38QpVJJXnzxRUGuF+5gGIYsWrSISCQSMnXqVEHfvUmTJpFhw4YJdr1gIKzI5fHHHyft2rWLqN//H0uXLiUAyDvvvCO2KKLDZrORd999l0RFRZHs7Gyya9cusUUSFY2NjeT1118nqampRCqVkr/97W/kxIkTgl2fYRgyduxY0qlTp0i4O7mS43PfffcRAOR//ud/BK//9eGHHxKZTEbq6uoEvW4gETbkwjAMycnJIQ8//LDYooQEvvnmGyKRSMjChQvFFkV0nD17lgwZMoRIJBKyYMGCazpiqbq6mjz//PMkLi6OKJVK8vDDD/POqfAGa9asIQDITz/9JPi1ww2VlZVk8ODBRK1Wk6+//jogY1RUVBAA5F//+ldArh8IhA25nDp1igCIZFKTK93rFAoFue+++8KmQmogYLPZyFtvvUXUajXp3Lkz2bt3r9giiYbz58+TuXPnErVaTTQaDVm4cGHAwtF1Oh3JyMggN998c0CuH044evQoyczMJG3btiWHDx8O6Fg33HADufPOOwM6hpAIG3J58803SVRU1DWvgh85coRoNBoyYcIEYrFYxBZHNJw+fZoMGjSISCQS8uSTT4ZdUT+h8Pvvv5P77ruPyGQykpycTP7v//7PbX00IfDMM88QtVpNSkpKAjpOqGPNmjUkKiqK9O/fn1cFA3/x8ssvk7i4ONLc3BzwsYRA2JBLfn4+ueWWW8QWQ1ScO3eOpKSkkIEDB16zph+r1UreeOMNolKpSNeuXcn+/fvFFkkUHDx4kEyePJkAIJmZmWTJkiVBeSdOnTpF5HI5efXVVwM+VqiCYRjyyiuvEADkrrvuCtqG99dffyUAyLZt24Iynr8IC3K5fPkykUgk5NNPPxVbFNFQWVlJOnXqRLp27UpqamrEFkcU/Pbbb6R///5EKpWSZ5555prTYhmGIVu2bCEjR44kAEiXLl3I559/HrSdLMMwZOTIkSQ3N5eYTKagjBlqMBgM5M477yQAyGuvvRbU4CKGYUhGRgaZP39+0Mb0B2FBLqtWrSIASGVlpdiiiILGxkbSu3dv0q5dO0Hi5sMNFouFvPbaa0ShUJBu3bqRgwcPii1SUGG328l3331H+vfvTwCQfv36kTVr1gS92vXXX399TXfeLC8vJ/369SPR0dGiVSOYM2cO6dSpU1hEzIYFudx2221k4MCBYoshCkwmExkxYgRJSEggv/32m9jiBB0nTpwgffv2JTKZjDz//PPX1I7ZYrGQlStXkuuuu44AICNGjCCbN28WZWHRarWkbdu25NZbbw362KGAgwcPkvT0dJKVlUWOHTsmmhy0X87vv/8umgx8EfLkYjabiUajIa+99prYogQdNpuN3H777UStVrfq+He1o7m5mS3h3qNHD/LLL7+ILVLQYDAYyNKlS0n79u0JAHLLLbeQAwcOiCrTE088QaKjo0lZWZmocoiBL7/8kqhUKpKfn0+qq6tFlcVkMpHo6OiwaK8d8uSyadMmAkDQBLBwAMMw5NFHHyVSqZSsW7dObHGCimPHjpHevXsTmUxG/ud//senYorhiIaGBvLaa6+RNm3aEJlMRu65556Q0FZPnjxJZDIZefPNN8UWJaiw2+3kueeeIwDIjBkzQuY9nDJlChkyZIjYYnhEyJPL3LlzSVZWVljYGIXE//3f/xEA5JNPPhFblKChubmZ/O///i+Ry+WkV69e5NdffxVbpKDg0qVL5JlnniGxsbFEpVKRRx55JGTCfBmGIUOHDiXXXXdd2ITACoGmpiZyyy23EIlEQt5+++2QWn8+++wzIpFIRNeiPCGkyYVhGJKVlUXmzp0rtihBxUcffUQAXFPhnkeOHCE9e/YkcrmcvPTSS9fEQlZcXEzmzJlDVCoViY2NJc8++2zIBa2sXr06rMJfhcD58+dJz549SWxsLNmwYYPY4rRCVVUVkUgkZOXKlWKL4hYhTS7Hjx8nAMjmzZvFFiVo+P7774lUKiVz584Nqd1SoGA2m8nf//53IpPJSJ8+fUR1lgYLJ0+eJHfffTeRSqUkJSWF/OMf/wjJrqENDQ0kNTWVTJs2TWxRgobdu3eTNm3akJycHHLq1CmxxXGJwYMHk6lTp4othluENLm8+uqrRKPRhIytM9DYvXs3UalU5I477gh6mKkYOHz4MOnevTtRKBTk1VdfveorDuzfv5/cdNNNBADJysoiy5YtC+nKAvPmzSMajSYo2eehgE8//ZQoFAoycuRI3u2dxcI//vEPEhMTE9LRkyFLLgzDkIEDB5LbbrtNbFEEhzON5OTJkyQ+Pp6MGjUq7MnUk8ZlMpnIs88+S6RSKbnhhhvIyZMngySZ//BWm2QYhmzatIkMGzaMACDdunUjq1atCkki5c7t119/JVKpNOx6iLiDq2dntVrJ448/zjaVC8Vn44iTJ0+2yDkKRSuHhBBCEAJgGAZFRUXYvHkzTpw4gYaGBqxduxbPPPMMXnrpJURHR4stos9wnJvZbEZWVhZGjRqFvLw8XL58GXl5eUhLS8Pu3bsRFxcntshewdP8uM/u4MGDmDlzJkpKSvDyyy/j6aefhlwuF1F69/BmblzY7XasXbsWb7zxBo4dO4YBAwbg+eefx+TJkyGVSoM8C+dwNbcRI0bghRdegMlkwrFjx6BQKMQW1SfweXaNjY246667sG3bNrz//vt49NFHxRabF+x2Ozp06IBOnTqha9euvN/LYCIkyMVgMOC9997DqlWrcN1112Hw4MGIjY3F+fPnsXfvXqSnp2PRokXo0aOH2KJ6DVdzKy0txZ49e5CUlIRz585BJpNh//79SE9PF1tkr+BpfmlpaVi0aBFycnLw4osv4t1330X//v3x+eef4/rrrxdbfLfgOzfue2mxWPDll1/irbfewrlz51BQUIDnn38eo0aNgkQiEXE2LeFubjt27MDJkyfx+eefY8aMGWKL6hP4PLtHH30UTz31FKqrq7FmzRqMHj1abLF5gc7t/fffR//+/ZGXl+fxvRQF4ipOV0wkc+fOJX369CHbtm0jBoOBLFu2jDz11FPk4MGDpKamhrzyyiukb9++YWU+IYTf3F5++WUSExMTlq0E+D67rl27kg4dOhCVSkUWLVpErFar2KJ7hLfvpU6nI++++y7JyMggAMiUKVPIoUOHxJ6GU/B9L8PxmyOE/7OLiYkhHTt2JOfOnRNbZN4Ip/VSdHL54osvSOfOncnx48cJwzDEbDaTIUOGtMjxsFgs5B//+AeZMGFCWFUDvprnRgj/+b366qskMTExrPJWvHl2Xbp0IYmJiUQmk5Hp06eHdJQRIZH3kpC/6tWNGTMmrOYXTs9OVOOvwWDABx98gEceeQS9evVyaTZQKBR49NFH0dTUhH379gVZSt9wNc8N8G5+8+bNQ/fu3VFTUxNkKX2Dt88uNjYWQ4cORXFxMVavXo3u3bsHWWL+iLyXV6BQKDB37lwYjcawmV+4PTtRPannz59HRUUFhgwZgo0bN4JhGNhsNjQ0NAAATp48ifXr1wMAMjIyMHbsWGzfvh3jxo0TU2xeuJrnBlzd8/N2brfccgv0ej06dOggpti8cDU/N+Dqnl/YzU00nYlcadfbrVs38v333xOVSkWkUimRSqUEAAFAJBIJ+7t7772XfPXVV2TatGkhGXbniKt5boRc3fOLzC0850bI1T2/cJubqJqLUqmEzWaDQqFAbm4urFYrCCEoLy+H2WxGamoq4uPjAQBpaWkwm82QyWSwWq2Qy+UhE9LpDL7MTS6XgxASUlFFruDL/JRKpchS80NkbuE3N0IIzGYzjEYjrFbrVTM/Oi+TyQStVhtWcxOVXDp06ACLxYK4uDjs378fwJVQzptuugmHDx/GCy+8gOnTp18RVC7HU089hczMTFy6dAkqlQoqlQpyuRwymQxyuZz9/1CAL3Pr0qULjEYjpFIppFIpZDIZ+99QQ1paGrRaLe/5LVy4ED169ADDMJBKpSFLoAzDICMjw6tnt3DhQrc2cLFBCAHDMGAYBunp6VfF3KxWK4xGIwwGA4xGI4xGIxiGgVwuh9lsDsv52e12mEwmGI1GmEwmmEwmmM1mMAwDQgiio6PDam6ibv0zMjKQl5eH1atXIyoqCvHx8YiLi2MXU+7vysvLsW/fPkyePJl9gbRaLRobG6HVaqHVatHQ0IC6ujo0NjZCr9fDbDaz7C7W3FatWsV7bqNGjYLJZEJzczNsNhuam5thMpmg1+tb/J5hmKDPh0Kn02HZsmWYOnUqdDod7/nt3bsX48aNAyEENpsNVquVnYsYz4cLaru2WCywWq1o27YthgwZ4tV7OWHCBFHnwAUhBHa7nZ2TxWKBzWYDcGXT4+03J/bcGIaBwWBATU0NLly4gNOnT+P06dO4cOECtFotZDIZUlJS0LFjRwwfPhxDhw4N+fk1NzejsbERlZWVKCkpwalTp3Dy5En8+eefuHjxIoxGI1QqFdLS0pCdnY2ePXuioKAgLOZGIarmIpfL8fTTT+P222/H559/jlmzZgEAJBIJu7slhKC6uhoLFy7EqFGj0LNnT2g0GlgsFjQ3N8NsNrOLlVQqZc1lNpsNZrOZHUsmk7XScAKpEchkMmRnZ2Pp0qXo378/HnzwQbdzmzJlCgYOHAir1Yrm5mY0NzdDLpdDoVBALpeDYRjY7XZYrVb2OlzNJtDaQH19PT755BN89tlnMJlM+Nvf/obhw4dj/vz5vJ5dQUEBUlNTYbPZoFKpQK6EwcNut7NjcM8N9G6Ljk3JjY4tlUqhUqnwzDPP8H4vJ0+ejG7dugVUXk+gmgmXrLlz4pqQvfnmxJhbc3Mzq40YDAaYzWYQQiCVShEVFYXExERERUVBrVaz3zB3rqH07BiGYbUQ7g/dICoUCkRFRSEhIQFqtZq1yNBvgMpN39cnnngCf/vb30Jibp4geoY+IQTr1q3DU089hYkTJ2L27NnsjqRbt26orKzE22+/jS5duuB//ud/IJVKoVarkZSUxJYNsdvtMJvN7KJMCIFMJmPNZnK5nN3J0QUFuPJQnJnV/F3YjEYj/v73v2PTpk3Iz8/Hrl27MGnSJMyaNcvl3N5991227AshhCUZi8UCiUQCpVLJzofOgbs4AmhlShPCJ1VVVYUPP/wQq1evBgDcf//9ePjhh9G2bVv22S1cuNDj/BYtWgRCCJqbm6FUKhEfH8/agynROGoxXKIRgmzcEYrjvfJmbtxnFyxwiYT7PtO5uLtnoTQ3u93egkiMRiO74VCpVIiJiUF0dDSio6OhVqtbvCfcxZc7V0IIWzrK0/zeeecd1k/hLywWSysSaW5uBnDl2ahUKkRHR7PESMmRuxlw9r5TzZrO9ccffwyJZ+cJopMLcOVlePXVV/HKK68gKysLycnJUKvV0Gq1iImJwaxZs3DPPfcgOjoaJpMJ9fX1YBgGiYmJ0Gg0ra5lsVhYsqEPhS7OarWa1Wwo4dD/p3AkG2+CB8rKyjB37lxcunQJixYtQkFBAY4ePYq33noLv/76K7tDoXObMWMG7r77bpcvAcMwLGna7XZ2Z61SqdhdG5doHMnTkXD4LtJlZWVYvnw5vvnmG0RFRWHWrFmYPXs2kpKSWt3vo0ePYtGiRfjll1/cPjsAMJvNaGpqgtVqZdV4Rw2Su4A4+/C8IU16Lbvdzl6L3g9P16Fzc/XsHOcWSHD9JlyzKJccvSFgMebGdbpTMqGLr0wmQ3R0dAsy4b7fjpsod/Olm4jjx49j8eLFbucXFRUFAF7dO4ZhWCc794euITKZDFFRUSyRUDKhsnGfnytC4c6D+inpZjqU3kt3CAlyAYD8/HzEx8djxYoVOH/+PJqbm5Geno7c3FzExsa2OJZhGNavolKpkJyc7LL4IfVdmM1mWCwWVqtxVEG5dmou8ThqBY6kw8WePXuwcOFCJCUlYcWKFcjJyWkhR3l5eau5aTQa2Gw2XpoGnQvVzhQKBVQqFZRKZaudmyPhOH6Y1CzoOOa5c+ewbNkyrF27FgkJCZgzZw5mzJjR6hk4Qq/X48iRI6wJw9WzozAajWhqagLDMIiJiUFsbKzL+XOJxpFsnC0yzgjFH23O1bPzdE/8AZdgnS2sQplBuXMzm81IT09H586dBZkbdbpzfxiGgUQigVqtbkEmKpWqxblcMgVaamWeYLfb2eP5PDvuEuh4T202WysnO/3+gCvaFSUQ+uOokbvaJLl7fna7nZ2Hq/fW2dyys7MRFxcXEgEKIUEuR44cQX5+PtauXYtJkybxPs9sNqO+vh52u511ZLkDNctQsqEPT6lUsmTjSBj0IXNJh6vlUK1m9erV+Oc//4nhw4dj8eLFXn2clATkcjmvl4JqZ83NzbBarS00M1cVbOmHyiUcCplMhlOnTmHFihXYuHEj2rZti7lz57bY2XmCXq9HdXU1OnXqxHsBJ4RAr9dDp9NBIpEgNjYWMTExbu8B92N1FtjA/ZCFNA8GA974TQIB7pi+nOtIJBaLBcAVvwLVRmJiYhAVFeV2I+GNluLsfLqB9FZ+Z9oIDYSg/h7HH2fmVF8JhZ5PN7W++IUpeUfI5f/jwQcfxO7du3H27FmfXorGxkbodDoolUokJyfzLhHuTKuRy+Ws+cxRI+COSYlGq9XixRdfxM6dOzFjxgw8+OCDrbQbPiHS9CX2tvy8o9mM+ppUKpXHxchut+PgwYN4//33sWvXLnTo0AFz5szBrbfeypoP+QYLNDQ0QKvVomPHjl7JT+XQ6XQwGAyQy+WIi4vjRWpU2+RqmVwNU0h/TSDgj98kUOCbZ2WxWFqEAZtMJvZcLpFER0d7/B4dtRRfNTN6HU/n0pBfxx9KCEqlsoVJKyoqqpVmxR3THzJxlItuePluNF3JEwobKtHJpba2FtnZ2XjxxRexcOFCn6/T3NyM+vp62Gw2xMXFea0autJq6ELNjUyhKC0txdy5c1FZWYm33noLI0aMaGVW4y4azsxqVEZKWP7stLlBAJ7MZrt27cKSJUtw6NAhXHfddViwYAFuuukmSCQSt8ECrvwVly9fhtVqRUZGhk+yU/mbmprY5C+u058LKpvjYkSdo0L5a4SG0H6TQMAZudDFmEsmdDNEndSUTNRqNW/t21ezlytwzWEUNJyf+0M1KolE4lYbcefTEYpQ6PX80VYcESrai+jk8u677+Kll15CSUkJUlJS/LoWIQRarRZNTU1QKpVISkryOUOVhjJzF2uuVnPw4EE8/fTTSE5OxvLly1v4V7igC7Uj6VBwQ6TpC0H9QL7CmdmMmsy2bduGJUuW4OTJk+jbty8ef/xxjBkzxq2ZwlOwgEwmQ2VlJZRKJVJTU32Wm6K5uZnNRo6KikJcXBykUmmL8fkuyN76a4QEdwF1NNeFCpk4gmEYWCyWFtFbNKSfOt25P75o2v6YvVzBZrOxpjhnIb9yuZwlD6qVuPvOHJdFx3eIyu7vIi6EtuKIUNFeRCUXu92O7t27Iz8/H59//rlg17VYLKivr2czkePj4/1erKlGYzabsWrVKnz22WcYOnQo3njjDaSkpHi923CMVqM7FxrdRjUlf0Ok7XY7DAYD1q5di48++gjFxcXIy8vDE088gWHDhvlseqAfBV0oSktLkZCQgOTkZJfBAt5Cr9ejoaEBVqsVGo0G8fHxrI/LH5OBs4gdocxQYvtNvAVdlCmRGAwGVm61Wt0qFNgXCK2lOBIINctx85QctRFvu2ly3xOqzfmjnTi7vpDaiiNCQXsRlVw2btyIKVOmYO/evRg4cKCg1yaEQKfTQavVQi6XIykpyaXdlC8MBgOef/55bNmyBbNnz8Z9993XwldCgwJc+Wo8gWEYWK1WNuKK+hQovA2Rtlgs+Pe//43ly5ejtLQUo0aNwpw5c9CjRw/Wtkzl9Qc2mw3FxcVo06YNoqKiWizcXKLhQ5COGhIA1iQjlUp5Of35wnEBofAmvyYU/SauQAhhF2NKJtREJJfLWWc7NXH5Q4SO5klfCMXRyU5JxDHkl/pIqFnOV7kdNUwALUxkQj3HQGgrjggF7UVUcrnllltQU1ODwsLCgH2AVqsVdXV1sFgsiI2NRUJCgk9jUf9KVVUVm78CtHSo0zpA1AxFycaXiA+73d4iSdSbEGnaaveDDz5AdXU1br75ZsyfP59te8r1L1FNiVurzVs0NzejoqICGRkZ7O6Wa0rjhgRT3xOXcLiRbNxjuBoKwzBoamqCwWCATCZDXFyc4HH8fPw14eA3oaDmLUomXKd7VFRUC62EGz4L+BYxBvhu9qIhv9wfuskCXIf8+hodBnjnO/H3vtBrBFJbcRzrmiWXkpISdO/eHR999BHuv//+gI+n0+nQ2NgImUyGpKQkr1T83bt34+mnn0abNm2wfPlyZGdnuzyWah7UVwOAdayr1WooFApeL6in6DFnIdINDQ346quv8MUXX8BgMGDy5MmYN28eunTp4nKHZLfbWaKh4dDc/B8+oGHIHTt2dPnBUC2MW8aGLkR0B6dQKKBQKNx+dDabDVqtFmazGQqFAvHx8X5rpK7AJT1HgqREHipkwjBMizBgg8HAvkPcnT31N3jyNXgbDMPX7EU3No5EQssa8Q355Y7rS6iyL74T7jnePnMa3BNIbcURYpvGRCOX5557DqtWrUJJSUnQMkltNhvq6+thNpuh0WiQkJDgltkZhsFHH32EZcuWYeTIkXjzzTe9yl9xpdVwEzjdLcY2m43d3btDbW0tPv74Y3z++edobm7GtGnTMHv2bKSlpbVKJHQ0q3GvTYMAKCnyNZs1NjaioaEBnTp18ng/HB3cVDZHs5KnumkWiwVarRYWiwVqtZr1xwgBZ34TKpejHEL6a7wBN9OdmouAK8/YMRTY2/vCJxzZmU/C8T44C/ml3wHwV10tbtgvX5MyHdtTBKDQkV30mvQ6nsBN5g20tuIIsbUXUcjFZDIhOzsb06dPx6JFi4I9PPR6PRobGyGRSJCUlOQ0p8JgMODZZ5/F9u3bMW/ePDzyyCN+PyRXWg3XV8MFfTFdOccrKyuxYsUK/Otf/4JMJsOMGTPw8MMPt4rYcmZWcxciLZVK2bBmSnDuyLCmpgbNzc3IzMxs9TeuxuJoe3eWgOYsWABwXTeN9rmw2+2IiYlhI8u8gS9+EyH8NXxBne7cH2pCdJbpLoSz2dU1XJm9nNXV4ob8qtXqFtFaarXar80AN2rQ2d8ctROhowP5EAz9zvj6GwMBMbUXUchl9erVePjhh3H69Gm3JqZAwm63o76+HiaTCTExMUhMTGRf1AsXLmDevHmoqqrCW2+9hVGjRgk+PtVqKNnQl5CbV8MNv+Wq0ufPn8fy5cvxn//8B9HR0Zg9ezYefPBBJCQkeDW+Y7Sas+ABSg5cB6Sj2ezSpUuQyWRIS0sD0JpQ6PV8iRDiEwotkUhgNpuh1+tBCEFsbCw0Go1b04+j34TrV/Engc+dv4bvdcxmc4ucElp/Sy6XtwoFDsRO2JFcHO8XVxt3F/LLrasl5OJG7zN9ToHQTvjAFcFwtRWxmxqKqb0EnVwIIcjLy0NKSgp+/PHHYA7tFAaDge1BnZSUhMOHD+Ppp59Gamoqli1bFjTy47YQoPZnqtXIZDIolUoUFRVh6dKl+OGHH9CmTRvMmTMH06dPb1W801dQUnAMk6YvKLeqNHehq6ysZM2MvhSI9FZGR8LhvsK0RLtcLkdiYiKio6NbLI7cBSiQTni++TXOml5xne5cE1ewugrS8Zubm1vkulDfCJWdq434GvLri2x0Nx5o7cQbmSi4hSbF0lYcIZb2EnRy+eWXXzB06FB8//33mDhxYjCHdgm73Y66ujp8/PHHWL16NUaPHo3FixcLtmh7C4ZhWrQQOHHiBD799FPs2rUL7du3x7x583DPPfcEzJHtTB6udkOjkKh5r6KiApmZmUhLS2Pt5kL5P/iAq13RnXVjYyOMRiMUCgUSEhLYXT7dSQZzJ0cXQZpzRBdsGlZLo/W4Gom7+luBkI+Sh8FggF6vZ01vUqmUrQ3mqI2IcQ+5tb6CoZ3wBd2MUe0+lPKZrhlymTVrFvbu3YszZ86ETPtevV6P5557Dlu3bsX999+Pe++9F8nJyYiJiRFNJkIIDhw4gCVLlmD37t3o0KEDHnjgAYwfPx5KpbJFC4FA7xYd5eJGfDU1NaG4uBgJCQlsKDMtBEr9OMFoQe3ohKcE3djYCKvVCpVKhbi4OCiVyqA1WaNNr7i7f65WQnf+tP5WIPw1jnAW8ktJjmEYNuQ3JiYGGo2mRZXfYMPRp8U1vYXK4s01AQczEswbiGUaCyq50DpiL730Ep566qlgDesW58+fx7x583D58mUsXrwYw4YNQ0NDAwwGQ6umZMEAIQTbt2/H0qVL8csvv6BHjx5YsGABJk6c2GKHTk1o9KXhRqAJ/RI581HQ3b/ZbEZVVRWysrLYcFhqg+eWhwFaBg9wgwh8jdjh6zehTv/m5mY265yaVehc/G2y5m3TK2c+DX/9NY73x1PIL3eDQgmFu1ERw7zkypRI/x4qod9AyyZe9L3xJZQ7GBBDewlqm+NVq1YBQFDyWvhg586deOaZZ5Camor//Oc/bChtcnIyoqOjUV9fj8rKSqdNyYSG3W7Hzz//jKVLl+L333/HgAED8NVXX2HUqFEtPi7qJKS+BG4EmtFoBIAWLQT80WqcFYh0LL9CPy46jkqlQnx8fIvway7JUNMGtyeGpxBpOndXfhNPJWGolmAwGKDT6dDU1ASNRoOYmJgWuSzcFtKOhONIBp6aXqWkpPB2utPFiYI7RyqbM38N9znxCfml+V30veBez1nkXjDAnSeFszwZ7j0QG1xthb5/FNxvlftvsUE3U8GUJ2iai91ux3XXXYfhw4fj008/DcaQLsEwDD744AMsX74cBQUFePPNN52SB8Pwb0rmK6xWK9auXYv3338fxcXFGDZsGB5//HEMGTLE6YvAzd53tshwI9BobD3VaPhoNY5RWZ6c3rW1tTCZTGjfvr3L+bmq1Mz15ThrQc1dZBwrMvvqN2EYhi3vzy0nA7gOFqAEzvWDURkd628J7Qfj7uQZhmFDfqkstF0EVx5HJzu3CgI9ztP9C9RC5Etklz9Z+EKDTxMvilAjmGBrL0Ejl59//hlTp07Fvn37MGDAgGAM6RR6vR7PPvssdu7cicceewwPP/ywx0XK26ZkfGA2m/Htt99i+fLlqKiowPjx47FgwQL07dvX47l8er8QQlpEoHGztR21Gmdhvnz9EZWVlZBIJEhPT3d7HJWHykKd2NySM5RsLBZLC8Kh5hBuqRuuWc1XM1ZTUxOMRiPkcjni4+PZHu3cfBK9Xs9qAZSoKZFoNBpWFqEjg6jPyFnzKq4plBIItwkXlcPXUiyAsOTiSjvhY/Kj54ltDqMaNyU5vkQXSgQTbN9L0Mjl5ptvRl1dHQoLC4MxnFOUlJRg3rx5qKmpweLFizFixAje5xLie1MyLvR6Pb744gt88MEHqKurw+TJkzF//nx069bNK1n4Zu9T2O32Fjtvbt6KWq1mHfDefsRlZWWIiYlBcnIy73O4GhbXrEaTNB39Ju5CpIG/yrE4mtX4zEOv16OqqgqNjY2sRki1QldNrxzzbrypLOAMVqvVqVmLghKas5BfR38N94crj7cLij/k4ot24grOerQEG/4WmgwVggk2uQTF51JcXIwtW7bgk08+CcZwTrFjxw4888wzSE9Px5o1a7zumCiRSNi8ifr6elRVVXnVlKyxsRGffvopPvnkExiNRtx5552YN2+ex5IprmSRyWRefXi0gqxKpWK1A9rvhYaech28fMx/lOT4kizXb0Kr8FqtVlgsFlitVthsNqeVALjkwYWzEGnHFtRcDQdoXTaFanTUB0E3DqmpqS7vAd25chd4x7pp1FTFNelJJBKnmeyOrXQ1Gg1SU1N5hfzS508JzjFznUs+gdz9u/Od+GqKcZeFHwz4qq04IlT8MNzcoGDIEBTN5ZlnnsGXX36JkpIS3j3ZhQLDMPjnP/+JFStWYPTo0XjzzTf9DjEm5K+mZAqFAsnJyS7DNS9fvowPP/wQq1evht1ux7333otHH30U7dq180sG4K8dtLvF3TFEl+us5jrlHds9y2SyFhFozl5Gq9WKsrIytGvXzulz5S44juYZR7s/jW5yrNTsrAOoO9AFwWazwWAwoKmpiSVPs9nMRklpNBrExsYiLi4OsbGxLJHQcwgh7DG+fIiUtPV6PZvbwvXVUFMWt5ikt/4aT2YvR38NBZ9F39NCKKR24mpuYkaHBaosvtgEE0ztJeDkYjQakZ2djZkzZ+KNN94I5FCtoNPp8Oyzz2LXrl2YP38+HnroIUFvqrumZBUVFVi+fDm+/vprqFQqzJw5Ew899BDatGkj2PjAlUXM0TzG3UlzCYWPeYTrG+G2e+b6auhCbDQaUVlZiaysrBb+G8dFz5vxAd8qNTs2vTIajeyCShduqpnJ5XKX9dXoDpUmFEokEra8v6uxuSG/NBSbG/JLzY5UBlqc0ZEU+DRZ45K14731BC7RcD97Z/k1zhbBQBOK4xzFyrYPdFl8sQkmWI79gJPLqlWrMGfOHJw5c8YnE5CvoP6V2tpaLF68GMOHDw/IOIS0bErW0NCAjz76CN999x1iY2Px0EMP4YEHHkB8fHxAxqemGBpj7wuhuIMzrYYu9rQycceOHVvsjh0jvfx5iZ1ValYqlWxeiaumV9xsd1fz52o5zlpQA1c0GZqESatoO5q1HEN+uT/uCJEbBu3YIM0xOo4ez322/i4Qjv4aAE6JItBk4gix/CzBaOJFwV12xSDQYGgvASUXQgiGDBmCtLQ0/PDDD4EaphW2b9+OZ599Funp6VixYgU6dOgQ8DGPHTuGt99+G1u3bkVqairmzZuH6dOnB7SdADc8leuMDlR5E0L+KhNiNBpRU1MDo9GITp06sQs533413sBisbCVrGmCK9WmEhISEBsb26rplT+gWew6nY4dt6amBgaDgS0nExcXx5rNNBqNT6XtncHRd0Oj5WjQA+13E4gdNVfrpD9crSoYmoQYYcfB0FbcjQ0En2CCob0E1KF/+PBhHDt2LGjEwjAMVqxYgX/+858YM2YM3njjjYCXcDly5AiWLFmCbdu2ISsrC6+99hoKCgoCVhuKEgq3YCNdcBwTuoQaj2uKkUqliImJQWxsLGw2G2JiYqBSqVjCoVqNWq32qd0zzfJ31fSqTZs2yMjIaGE+omP6Er3nKuSX20o3MTERbdu2Zc11hFxpER0TE8N2/uSSO58W1K7APYcucvQ506AF7rHONBxv4MzURa9LSY1LNkJpTe5kCabGwm3iFYiNkScE28keTARUc5k5cyYKCwtx5syZgL8wOp0OzzzzDHbv3o0FCxbgoYceCmhkzN69e7FkyRIUFhaiS5cumD9/PqZMmcLa871pSsZnPGflV7gLLN19+Vq+hAu+fpPy8nJERUWhTZs2rEOehjtzCzK6c8w7ZrrTEFyp1HPTK0L+SnCk1XqpX8UZ0VC/DJdEuJUCXLXSdYTRaERTUxPsdjuba0IJ31WINJd03N1zushwF3Fnx3JNaY7+Fy7hODufr++Eu+B546/xFcE0h3E3aMHWVpwh2BpMMIg8YORSU1OD7OxsvPLKK3jyyScDMQSL4uJizJs3D3V1dXj77bcxbNiwgIzDMAy2bt2KJUuW4NixY+jVqxcef/xxjB8/3ulD4tOUzBX4EIojnPV+8XUsPn6TkpISJCcnO/Un0cx8bgY50LKPDFdD8LfpFcMwLaLNuG2UqcPdMeSXTytdd/dMr9dDp9NBIpGwmf4SicRpC2pnIdLcqD1PlRA8yeJIOI5aCP1/7rX5RIy5+5s7f423i1YwzWGh0MTLGYLthwm0aSxgZrFVq1ZBKpUGvI7Y9u3b8cwzz6Bdu3b473//i6ysLMHHsNvt+PHHH/H+++/jzJkzGDRoEL755huMGDHC7YOhVWXr6+tRU1PTqimZq7EcCYVvRWFqyqAmGldwRibcsfgscHSH7soUJZfL2Ygpi8XCJqBaLBZWK4mPj0dqaioSEhJ89pU4q6tFx7FYLFAoFNBoNIiPj0d8fLxgJVoooURHR7MBHQaDAXFxcWzJFe6cuMEDNBqPEg697455OXwXWhrtxj2eS3A06o6r2dD3w9MYrgiGjknBJRpKdJ40MO4YwTCHcbWVUKqsTOGoJQY8mksS2HpjAdFcaB2xESNGBCxxkmEYLF++HB988AHGjh2L119/XXD/itVqxZo1a7Bs2TKcP38eo0aNwoIFCzBo0CCvr+XYlIzr6Pe2npc70EWMu2N19Jtwd7XehLJyYTKZcOnSJTYM2ZumVxKJpJVWQzP0aQsBZ/N2VuWXW1fLWQdE6ifhms38bbHrDLT9gNlshlKpRHx8fAtycZWT4pgI6qkFtTut1FGToOPQ47nvGddnxyUnx/eG/t0bcE1ufPJrAm0O44bmh5q24grBMpMFUnsJCLmsX78et912GwoLC3HDDTcIfXnodDo8/fTT2LNnDx5//HHMnj1b0JtjMpnw1VdfYcWKFaiqqsKkSZMwf/589OrVy6/r2u12NDQ0wGg0stWDqdz+EIojGIZh818czRZChCczDIPq6mqUl5cjJSWlRV6HUqls1YrX3Xy45ixaw8uRDGlWO12ouK10uQmIfMZxrBMmdIuC5uZmaLVaWK1WqNVqaDQa9vpcMncHrunQWYg0JQJnznxvQoXposslHO4YjqTjK9z5a+i/A9XWgpI3HSPUtBV3CAbBBFJrDAi53HTTTWhsbMS+ffuEvjSKi4sxd+5c1NfXC+5f0el0WLVqFT788EM0Njbi1ltvxWOPPYYuXboIcn36Aev1elaLadOmjc9Z4Fw4mrpoljuN2PKHtJw1vWpsbITJZEJubm4LIvE2YsuxHEpTUxNr1qLlYKhZKzExEfHx8X4vRM4qNbvTmLwBfQ4GgwFarRYMw7AJtv5+wNSXRH+oaZKSAI0a5Go6vkTrORIOJSqhmqxx31Wao8XVaIRY6By1lWD2ZBISgfbDhBW5FBUV4frrr8enn36K++67T8hLY+vWrXjuueeQkZGB5cuXC+Zfqa+vxyeffILPPvsMJpMJd999Nx599FFB8mO4HxHQ0lbd2Njoc1Myd34T+qHSD9cbJynfplc6nQ4KhQIZGRm85eWG/HLb/AJ/1T5zjNTi9quhCwU3As3fHbWnSs184crkSHvIODr9vZHRXWQXNYM6ajoUzsxq3twz7jvmKljAU6CJq3lRk4zjPLlz9IXEuJsrIaInQwGB1GICZRoTnFyefvppfPXVVygpKYFarRbkmna7HcuXL8eHH36IcePG4fXXXxckObGqqoqt+wVcaWI2Z84cj+XjPcExlJfrSHV8gCaTCfX19WAYxm1TMl/8JnRBcPWB0QXfXdMrbrY7l6QqKiqgUqmQkpLS6rqOrXSNRqNPIb+O4LYQoGY4qnXQ0iq+wrHkDB+zGfd5AK5LsTAMg6amJhgMBshkMracjCs4MyF5s9DSXbujWc2RFPiESDtz+Dr6bpyFQnvybXD9i47jeeOvcTbvcNdWXCFQBBMo7UVQcqHZ2rNmzcLrr78uyDV1Oh0WLlyIvXv34oknnsCDDz7o980tKyvD8uXL8c033yA6OhqzZs3Cgw8+iKSkJJ+v6Q2hODvXWVMyvvkm7sANT6Z5HpRIqB9DIvG+6dX58+eRkJCAqKgot610/Q35dXfPuC0EuFoNJRtfx6HaErfkDCUvxxBcPosehc1mg1arhdlshkKhQHx8PFQqFe+8E3/BN0Sam5tDZXEHboSYY7AAfU+5vht6//iQJd/8Gm+aeIUzAkUwgdBeBCWXzz//HI8++ijOnj3rdUl7ZygqKsLcuXPR0NCAd955BzfeeKNf1zt37hyWLVuGtWvXIiEhAXPmzMGMGTMQGxvr0/W4OyXuQuOrw9xkMqG2thZWq5Wt2MtdvLwxETAMw2oNdNdMH7VCoWihlfBZ8Lkhv3q9HkVFRYiNjWVJSKlUOtVGghWVQ81bNDKMysSNQPMWhPxVqZkb1Uav56vfgYZmm81mNrCDRoEJEdDhDbgh0tyeOdxFTC6Xt/Dn8DGzOprSKInR78RXv5AjudNvEAAr59WOQPhhAqG9CEYuhBAMGjQI7dq1w7p16/y+3pYtW/Dcc88hMzPTb//KyZMnsXTpUvz8889IT0/HvHnzcPfdd/tU/l9IQnHmNyGEsGSgVqvRpk0bXh+MxWJpEQZsMplahAIrlUq2Hpan63kK+ZVIJNBqtcjOzma1F7EznLngmrjMZjP70XBbCPB5Vo6OZ5qgCfxVcoZvsqcz7cRsNqOpqQkMw0Cj0SAuLi5kdtyUaGh9M2edSvmGSHOvSZNbAbS6nrfBAlxzn2P/HzGIOtgQWosRWnsRjFwOHjyI4cOH48cff8S4ceN8vo7dbseyZcvw0UcfYcKECXjttdd89q8cOnQIS5Yswc6dO9GpUyc89thjuOOOO7ze3XDVfnq7fKnn5M5v4him2tzcjPr6ethstlZNybhOd8emV9w2vDExMVCr1azZgJrHuHkPjiTiKuSXmzui1+tx+fJldOrUKWQWQ1cghLQICuBqNY7tnunx3N2xM7OXs0rNzrQjV74D7nMmhLBOf0IIWwgzVBZF7gLGJ0TaXQtqxyx87kbNm2ABqm3Raznmc/nirwlXCEkwIUsuM2bMwKFDh3Dq1CmfF5ympiY8/fTT2LdvH5588kk88MADXk+UEIJdu3ZhyZIlOHToELp164YFCxbg5ptv9rrplDP7sbf2XH/8JoQQtiIvzZuw2Wxs/S3qdKdEEhUV5dKJabVaodPpWJ8IdbJTcPuxO7bSdURDQwNbaj/cQDUQSjZ0gaIVh5VKJe+cI5qD49j3hl4D4O87YRgGOp0OBoMBUqnUo9M/mHDm1Of+jWtOc9WCmpq/lEqlx0RQd8ECFPSZubunrsjG0V8T7hCKYIQ2jQkSTlFTU4PvvvsOr776qs+C/fnnn5g3bx4aGxvx8ccfIz8/36vzGYbBxo0bsXTpUpw8eRJ9+/bF6tWrMWbMGN4yOTNT0agTvtegJOIsioiPqu6s6RVNzJPJZEhJSUFmZiarlTibg7Mqv/SDJ4QgJiaGLVPCp5WuI6xWa9jatrmETIMCuL4kaj5zptU4ggYQKJVKVpuhz4z6tfj6naRSKeLj4xETE4OmpiY0NDRAr9ezTv9QBdd/wgUNB6akQ5NXTSYTANch0o4bLvot0bI53OoT3P93tunjkgctjeTs2xQyv0YM0JB0f0mGex0hSFcQcvn8888hlUoxffp0n87fvHkznn/+ebRv3x5r1qzxyr9is9mwbt06vP/++zh37hzy8/OxZs0aDB06lLct3BWh8NF0nJ3PvYY7MiGEsE53V02v0tLSWKc7TcyzWCzQaDStQn5NJhPrYwD+CvlNSUlhiUQul7O1x3x9gcKZXICWOSnU6U+jmKhGo9Pp0NTUxIYkU7IBnOdk0OsAf0Wb6fX6Fn/jc8/kcjmSkpLYRmy1tbVQq9WIi4sLq3sulUpZLY5hGLZpm6NZjZYJouc4RqvRb5BGNMrl8hZWBWemOS7hcN9xZyZJ7mbQm3pooQYqq7/kQAlGiLn7bRaz2+3o0qULCgoK8PHHH3t97vvvv4+PP/4YEyZMwD/+8Q/eTnaLxYJvv/0Wy5cvR1lZGUaPHo3HH38c/fv35z22I6HwMYV44zdxJjOXSLhOd8eSKY5FD6mTvampCVVVVWhqaoJSqURsbCxkMhlr1qJE5K73PNcp7QsuXLjAZsyHC7iLCNC637wjCGnZ7tlqtbYgI2o2dGdaYZi/StvQhFZvkz/pM7fZbIiOjkZcXFzQgyf8WWzoPXd3r52Z1bgbNq6GSEnH8VpcUxqfumnO4BiFRs8PN3+NvxqMUL4Xv8nlp59+wu23344DBw6gX79+vM9ramrCwoULsX//fq/8K0ajEV988QU+/PBDVFdX4+abb8b8+fPRo0cPj+c62nG9sa176zdhGKZVpju36RU3pyQqKqqFs96ZNkJlpq10qe9Ao9EgPT3d63L+jsUt+YJhGJw/fx5paWkuEz5DBa7Mk54WdmeRXbRRF/2hvhpuBJoncye3VTQt1MnHbObo9KcdMIO12PmzWPlalNJqtbJN2Lh5LNzNnKNZjfsuOwYLcPN5HE1prhKMw9lf488zE8r34je5TJw4ETqdDnv37uV9jsFgwK233orGxka89957yMvL43XehQsXMGHCBOh0Otx2222YP38+cnJyPJ7HMAwbJcQNe+QTOkkJgbsweXqxKisrcfnyZQB/Nb3ikokrjaGkpARarZYdz5mTnXsutykZbb3LF/Sj89Y81tzcjIqKCmRmZoa0L8DZJoJveCv3w3S2kDhqNXQBpGHZ7kDP5VZqjouL46VFMgwDvV7P+oZSUlKCosX4ulA5RofxBdUSnfk6udoN1Xa4mwd35kMu0ThuOjwVWHWMIqTnhXIVAF+fm6jk8sMPP6CoqAj33nsvkpKSnO5MHD/Iw4cP4/Lly7h8+TLuuOMOVs3nvgjOFm3urgEAm/+xevVqREdHIy0tDaNGjWp1Hu3KyL2Os+s7G8/RbsnnPO5tpK15qemEkkBaWprb85qamgCgxY62vLwc7du3d3ue0WhkTQb0b01NTS2qLjueQ//N/TstFeM4VkNDAzQaDeuvMRgMTnfOYu/kuPNz9mG5Ms/Qd8PVeRTc3+n1eiiVSigUClaLVKlUrRZSd8+Nmju5Wo/RaHS60Ol0OtbnQB3jzlpMhPozoO+cu/fS8Vt19dzoe8/15TjTIB3/bbFYWnwrdrvdKSE5M71x/TXOjnH1u2CB73Lu7r2k//Z3bj5rLkajEZ9++in69u3rNHPelXAGgwErV67EtGnTWtWl4mvbfeWVV/DQQw+hbdu2Ls+jph93O3NPIZaU2BwXDG9s0GazGTqdDm3atAHg3cOxWCywWq0ed1Vc2O126HQ6tjsk3/O4C6yze9nQ0OB2hy2UEzAQ4Nr9Aefzc7boOR7juCCaTCbW4c/nHE8yUmJxJaNer3cbbh7KzwDwPrOcz3OjpXS8uSd8zMKuzvPkPwrVZ+C4zHvzXvpyHuCnWYwQgh9//BF2ux233nprq7+5ewBLlizBnDlzWpgR+DyYzz77DBMnTmSJxd15dFfiz8foTLXn+wI1NzejqakJbdq0gUTiXRQGIQSlpaXo2LEj7/NoOX+acMn3PPrR0HBNV/fSHcGE8kfFXRDczc8dwbg6j0bnOTOHeXP/uRqLOxndEUyoPgOg5U7fm/fZ03MDrgQ9uCIYd+fRnkfOCMbdM3BHMKH4DBxJ3Zv30pfzKPwyqkkkEkyePBlxcXHYuHGjV+c9/vjjeO2113irccAVX0aHDh1aEIuncajK7Csc1WC+sFqtaGxsREpKik8vW0VFhVcl/x2JhS8oAXuyr0okEiQmJkKr1fp1P4MJPjtNCkoqXCc+H9DIL25IrbcyujKFOZNRo9G0KA4aDvDW9s99J/mcExUVxfa38QYKhaJF3TM+oGuKYyHNUIW32qK/53EhSNbQ6NGjYTAYcPr0ad7nSCQSvPTSS3j77bd5HU8Iwf/93/9h9OjRXslGX1BH3403oAlbfF8mhmFQU1OD1NRUn8arra116p9xBWoK84VYqMbC5zyJRIKkpCQ0NjaGPMF4QywUvhIMzWExGAxey8iXWLgyajSaFm0HQhm+EIu3zw2IEIwziEksgEDkAgC33347/v3vf7coKeIJSqUSEydORGlpqcdjX3/9dSxfvtwn2aRSKbsb8hXUme0JhBBcunQJbdu29enBNDQ0QK1W8+5NQsuGODrv+cjpy0ccDgTj69wA3wmGVkvW6/W8ZfSWWLgyhjrBcO9foImFIkIwf0FsYgEEJBcAePnll/HAAw94dc7111+P5cuXu31AxcXFGDNmjF9hl/RcbqipN+AuOq5AiSUjI8PrB0MIQW1tLeRyOe/8EYZhoNVqvSYWbnKaLy9QKBOMvwsU4DvB0ErJRqPRo4y+EgtXRo1G06IYZ6jAlwVKiOcGRAgGCA1iAQQmF4lEgo8++giffvqpV+ctWrQIH3zwgdO/NTc3Y+XKlRg4cKDf8lHzj68EQ81jzkAIQWVlpdcaCyFXwlGrq6vZ5Di+52m1WiQkJHhtywbg90dMCUar1Xr9IQcKQi1QgH8ajEwmY8v4OJPRX2LhyhhqBCOGxuIIfwnGGxN6qBFMqBAL4GNtMXe2ZVe7e0+7uczMTKe/X7hwId58802357uK1HEln0wmY3M6+J5H4crxfenSJdbH4urldPbQqquroVAo2IgyZzsnZ2PW19cjMTHR7eLnOB43rBPgH6Tg7mNLSEhAY2NjSJSC4c7Pmw/d3bGuomTc3ROFQsEWr3SEwWBgw429kdHdeNHR0dDr9T43vRMS3Hvlzfsl9HNTq9UtQrv5nieXy13WznN3HiWYUCp+6SvZCUWSPoUi0+xzwHUvbMcoqbq6uhZ/12q1rXqn04RMLiorK9kHTQsLOiarJScnO41Jd/y3s8Xd3Xlch7en8ywWC3sPaDSPY8a8M8e5xWJhf6fT6dgeKlw4y9Wx2Wzs7wwGA1QqVatQTMedoOM9cfUxOBuLgiZR8plbsMGdn7v6SO6eOd/zHDcBRqOxRRkfwLl2SLP56biOSZR0HGfncf/fbDa3SqIMhWKLjt8P4DnR0PG9dBUp5o7gCbmS80L7F3HP8fSNW61Wpz5OT+cR4jyLXcxnwHc5F2q9dAefNBe6QyeEYNy4cTh16hQKCwvdhs4mJyez/2+xWHDXXXchNzfXpTmMght2rNVq0adPHyxevBj33HOP2/McX176AvEJ96TgNtjyBPpyUr+LTCZDUlIS7/OMRiPKy8t5l3HhZhgbDAbo9Xqkp6e73Tm5+jg9+bK482cYBg0NDWw5mlACd36UOPnsJLmLPf2oPL0njtUfDAYDmpubnW50XJ1H68hJJBKP95J7Hu3N466UkJDwxszl+Az43Etn3xwfouQ+W25Zf08anKOMVquVrU/G9zx3G08x4Yw0vH1uIREtJpFI8M033yAuLg5Tp06FTqfjdZ5SqcSTTz6JXbt24eDBg7zHi4+PR9++fbFz505fRfYK3Kx1vmhoaIDZbEa7du14n2O1WlFSUoKoqCi0b9/eq/EkEglSUlLAMAxqa2u9UmllMpnXtmKlUgmZTObRzCkmuH4lvqD+KGpD9wZSqRRJSUmwWq1sbTg+oIUvaXVsvqAVAbyJzPQX3n4Hriwans6h5mpvn4FMJkNsbCzbU8eb89z5yFzBW9OfGPA174rvBssT/DYQJicn4/vvv0d5eTmmT5/OO9pi/Pjx6N27N9566y2vHGgjR47Enj17Au5Edqf2ugLDMKiqqkJCQgLvLoIMw6CkpAQSiQTZ2dk+2WzlcjlSUlJgNpvR0NDA+zxfc4Cio6NDllx8dQ5TYvF1J6pUKpGQkACj0cg7HBn4y1/ozf2USCRQqVRsR9JQgy/fDiG+V+qmoNXGHbuseoJKpWpR3JYP6OLrT/5cMOBL1KoQxAIIFC123XXX4auvvsKmTZvwwgsv8DpHIpHg2WefxZkzZ/DTTz/xHmvkyJFoamrCsWPHfBWXFyjre/OB1NTUwGaz8a4gAAClpaUwm83Izs72y8ShUqmQlJQEvV7PW4ME/nJEerPLiY6OZrsChhr4mvq4oBsif00cUVFRiI2NRVNTE++FXyqVIioqiq2uzBcqlYpt0xxI+Lr7Bbxb2KgP0V8zX1RUFFQqFfR6Pe/3UyqVQqFQsO0Q+MJTaoKY8EUuofq4UAgW2jB27Fi8/fbbeO+997B69Wpe5/Tt2xfjxo3DkiVLeH+Mffr0QXx8PHbt2uWHtJ7h7Y22Wq24fPkyUlJSeCdAVlZWorGxER07dhTEf0FDmalpjg/oDt+bhY3KSlvWhgp8sYPTsHShbOexsbFQq9VoaGjgvRPmlpDhC7VaDUKI1+acQMMXrYVWvxDKf6TRaCCTydDU1MRbs6DfrDf305dQ9WDC29w3b8/xBEHj5h599FE8+OCDmDt3Lvbt28frnCeffBK1tbVYtWoVr+NlMhmGDRsWcL+Lt2GFVVVVkEqlvEu+NDQ0oKqqCu3atWMrGAuBxMREREVFoba2lvfiRgtW8v0QaSXgUDONeesz4RYlFfKjSkxMhFwuR319Pa97KpFIvNYGFQoFpFJpUPwu3i5S3mzKaNdJ2tVTCEgkEjYopqmpidfiL5FIoFAoYLVaeX8HvtYdDDS8lccXKw0fCJ5EuWTJEgwZMgTTpk3DhQsXPJ6TlZWFe+65B5988kmrcGVXGDlyJI4dO+aVf8EbeLv7MpvNbL8WPjtgo9GI0tJSJCUlIS0tzV9xWyE5ORkymQw1NTW8FzdqHuOLUPO7ePvMhE7c44ImmBJCUF9fz+tjp6Hk3tQnU6vVIeV38dYcxo3GFPoZSKVSxMXFsQVd+YBGk/qivYQKfElg5RtR5i0Ez/hRKBT49ttv2Qgy2gDLHR555BHI5XLetcNGjhwJQgj27Nnjr7hO4W2ky6VLl6BSqVqEW7sCjQyLjo72OjKML2iXQm8iyGj9Nb4EEx0dzeYdhQK80Vr8iQzjCxqK7k0EWXR0NGw2G+/FTaVSwWq1BqwEj7eLpjdaiz+RYXwhl8u9jiBTqVRsh0s+8HZTFgz4QixhQS7AlZ3zunXrcPHiRdx3330eH1R8fDweffRR/Oc//0FxcbHH67dt2xZdu3YNmGnMG5OYTqeDTqfjVfaFYRgUFxf7FRnGFzSCrLm5mZeGRxdavh+VSqWCVCoNCb+Lt+10/Y0M4wtvI8gUCgWUSiUMBgOvhV2tVgMIbEgy30XHmw2ZEJFhfOFtBBltrcyX4EMpJNkXc1igiAUIELkAQNeuXfH1119j69at+Pvf/+7x+L/97W/IyMjA4sWLeV1/5MiR2LVrV0AeKl9yoQmTMTExvPwmpaWlaG5u9jsyjC9UKhUSExN5R5Bxi3t6Ak38CwXTmDe9P4SKDOMLbyPIvNEIaZRTMPNdXMEb04pQkWF84W0EmUqlYtsmewKdc6hoL95sBgJJLEAAyQW40ufl7bffxpIlS7By5Uq3xyqVSjz11FPYvXs3r8TKESNGoKqqCn/88YdQ4gLwbgfmTcKk0JFhfOFtBJk3iZXR0dFsVrRY8CZhUujIML7wJoLM28TKQPldfKl7xucZCB0ZxhfeRJDRbH2+2gs1KYsJX55XoMvUBLzK2iOPPIKHHnoIjz32GPbu3ev22LFjx6JPnz5YtGiRx93z4MGDoVKpsGPHDiHF5c3oDMOgsrISiYmJHhMmAxUZxhfeRJB5k1hJ5y2W9uKNUz5QkWF84U0EmTeJlTQBUKyQZG8CKQIRGcYX3kaQKZVK3omVoeLU53NPAxUZ5gwBH0EikeDdd99Ffn4+pk2bhvPnz7s99tlnn8XZs2c9Jlaq1Wrk5+cLnu/C1yR2+fJl2O12pKenuz3OYDAENDKML7yJIOObWCmXy6FQKETzu/BNmAxkZBhf0AgyAB4jyLxJrKQRToEwjfFdrPhsxgIZGcYX3kSQeZNYSdcLsTR4vsQWyMgwZwhKfWiFQoFvvvkGCQkJHiPI+vTpgwkTJvBKrBwxYgQOHjwo2OLGdxdmtVpRU1PjMWHSYrGwkWFZWVmCyOgrvIkg8yaxUqyQZL4Jk8GIDOMLmUyGxMREWK1WNDY2uj2Wb2KlmKVg+C5WwYgM4wtvIsi8SawUW3vx9AwCHRnmDEF70klJSVi3bh0uXbqEe++91+3C9cQTT6C+vt6jn2bkyJGwWCw4cOCAIDLytR3zSZikNcOkUimys7NF261x4U0EGd/ESm/DZ4UCX8IIVmQYX9AIMpPJ5Hb3zE2s9GSaUavVXpcucQe+1+FjQg5mZBhf8I0g8yaxUqw6Y3yelRjEAgSRXACgS5cu+Oabb7Bt2zY899xzLo9r37497r33XnzyySeora11eVxubi7atWsnWEgyH5OYyWTilTAZ7MgwvuBbg4xvYiXtYRJM0xj9WDwtVsGODOMLvhFkNLHS0w5bjCrJfJP1gh0Zxhd8I8j4JlaKka3P9xmIQSxAkMkFAAoKCvDuu+/i/fffx+eff+7yuDlz5kChUGDZsmUuj5FIJBg5cqRgTn0+5FJZWekxYfLSpUuiRIbxRUxMDOLi4jxGkPFJrJRIJGzXv2CBaiPuPhaxIsP4IjY2FlFRUR4jyKhm6I445HI55HK5oKYxPqYuT8/AarWKEhnGFxqNBnK53GMEGZ/ESrHyXfg8Jz7HBQKiGEDnzJmDhx9+GI899pjLLPu4uDjMnTsX//3vf1FUVOTyWiNHjkRxcTEqKir8komPSYxPwmRDQwOqq6uRkZEhSmQYXyQkJHiMIOObWBkdHe11TxJfwSdhUuzIML5ISEjwGEFGEyuNRqPb+yuU34XPM+TzrdCQYzEiw/hCIpGwjcXcRZDxTawMpmmMrzkMCE5kmDOI5l175513cOONN2LatGkoKSlxeszf/vY3ZGZmuk2svPHGGyGTyfw2jXnaidGESY1G45I0uJFhfAtYigk+EWR8Eiujo6NBCAmKacxTwmQoRIbxBd8IMj6JlWq1mnfin7/w5MQPhcgwvuBGkLkzE/NJrAx2vosnX1cwI8OcQTRyoRFkSUlJmDp1qtP6SwqFAk899RT27NmDwsJCp9eJj49Hv379/A5J9tR1sr6+Hmaz2WWvFhoZFhMTI3pkGF9wI8hqampcfhieEiuVSiXkcnnAycVTwmQoRYbxBbcGmasIMj6JlSqVChKJRBDtxd134ElrCaXIML6gEWQWi8WleZdPYmWwsvU9EZhYDnxHiPr0ExMT8f3336Oqqgr33nuv013BmDFj0K9fP7z11lsud88jRozA3r17fd61eQpBph0mXSVMciPDOnXqFPK7NS5oBJnFYnEZQcYnNDnQpWD4aCShFhnGFwqFwmMEmaeEVYlEAqVSGVCnvqfvJBQjw/iCTwSZp8RKupgHQ3txp7mHArEAIpML8FcE2fbt251GkNHEyj/++AM//PCD02vQ7pRHjx71SQZPuzFPCZMXLlxAc3Mz/h973x0fZZW9/0yfSSa9d0qAhF6UjlRpdmCVVdfvYgesCNh+u+paUUBAEVkVwb6rFJGliRQBFymhk4QQkpA+aVMyfea9vz+y9/WdyZR3JpNMEvJ8PvmIyVtuee8995zznHN69uzZbp2XnsCHQUZVfk+mm9asTuktYLK9MsP4whuDjOZy8xRY2dLqlHxOxJ42rfbKDOMLhUIBuVzulkHGJ7CytYVLS+eoLRF04QIAkyZNwsqVK/HBBx/g008/bfb3gQMHYsaMGVi9erVL08ugQYMQGRnpt9/Fk7/FW8BkRUUFNBoNunXrxmap7YjgMshcjbE37cWfWvB84S1gsr0zw/jCG4PMW2Bla1an9GbDb+/MML4IDQ31yCDzFlhJhUtrChh3cxBMZpgrtAvhAjQxyB5//HE8/fTTOHToULO/L1q0CA0NDS4DK0UiEcaPH++3cPGk6nsKmKyvr+8QzDC+oAyyuro6l5ubp8BKrl8g0PDkR+kozDC+4DLInAW5t8BKiUQCkUjUIr+Lp43L3QGsIzDD+IIyyAQCgUsGmbfAytaMd/H0zGAzw1yh/bQETQyym266CXPnzm1W1yU1NRV/+ctf8Omnn6KmpqbZvRMnTsTZs2dRX1/v0zs92ZE9BUzq9Xpcu3YNMTExHYIZxheeGGTeAitbw+/iiXrckZhhfMFlkDU0NDTbULwFVlLTWCDhKVivIzHD+MIbg8xbYGVrmMY8zUF7YIa5QrsSLmKxGN988w1iYmJw1113NWPPPPbYY5BKpVizZk2ze8ePHw9CfK9O6cnf4q7CJJcZ1lrVJIMFbwwyT4GVrVGd0t2JuSMyw/jCG4PMU2Clv9UpPW2G7uagIzLD+EIkErEMMlelpz0FVrZWdUpvgqVLuHhBVFQUtm3bBpVK1YxBRgMrt2zZgsuXLzvcl5SUhKysLJ9NY+6i8rVaLRobG5GcnOwwaR2ZGcYXnhhkngIrA12d0pPW0lGZYXzBZZA5n549BVa2pDqlq2/Z3eGrIzPD+IIyyIxGY7Px9BRYGehofXfPac+CBWiHwgVoyhn23XffYf/+/Vi6dKnD3+bOnYvU1FQsX7682X3+VKd0JVwIIaisrIRSqWRrQFB0dGYYX3hikLkLrKSMpkCZxtwFTHZ0ZhhfUAaZTqdrpg260xIpoylQ2qM7k3FHZ4bxBWWQ6XS6Zgwyd4GVrRHv4k5raa+CBWinwgVoil1ZtWoV1q5di08++YT9vUQiwZIlS3D48GEcPXrU4Z6JEyeiuroaubm5vN7h7lRGAyadK0xSZlj37t07NDOMLzwxyNwFVgaqOqW7gMnOwgzjC3cMMi6Bwnms5XK5T5qLu8OYO/YRbUdnFywUoaGhkEgkzRhkngIrAxWt7+vctCe0W+ECAI8++ijmz5+PZ555xiECf/LkyRg2bFizwMoRI0ZALpfzjtZ3ZUvmBkxyk05ymWHO2kxnhjsGmTtqciCqU7pz1Hc2ZhhfuGOQ0bF2FvxyubzF1SndEV24ZYqvlznwxCBzF1gZSKe+K38j0L6YYa7QvlsHYPny5ZgwYQLmzp3LJrAUCARYunQpLl++jG3btrHXymQyjB49mrffxZVJjAZMctO8dFZmGF+4Y5C5CqwUi8WQSqUt8ru4CpjsjMwwvnCXg8xdYCWlBPuivbjawJwPXp2RGcYX7hhk7gIrA1Gd0pVwaq/MMFdo98JFLBbj66+/RlxcnAODbODAgbjllluwevVqh1PyxIkTcezYMa8nZ1cnM6vVCpVKhbi4OEgkEgCdmxnGF5RBRghxYJC5015a4ndxFTDZmZlhfEEZZDabzYFB5iqwUiBoWXVKVxtYZ2aG8YU7Bpm7wMpAaC/cOWjvDnxndIivJDIyElu3bkVNTQ3uu+8+1oH27LPPQq1WOwRWTpw4EVar1W2iSwpX/paqqiqIRCJWO7kemGF8IRaLERsb24xB5iqwsiXVKV0Jkc7ODOMLVwwyd4GVtDqlt5Ozq83P2Vx8PTDD+MIVg8xdYGVLUvA7z0tHEyxABxEuQBOD7F//+hcOHjyIJUuWAABSUlLwwAMP4NNPP4VKpQIA9OzZE6mpqV5NY84mMRowmZiYyG6YxcXFsFgsnZ4ZxheuGGSuAitpdUpftRdX1OPrhRnGF1wGGTU9ugqs9IWS7Hw6dv7d9cIM4wsug4wKdFeBlf5G67uag44mWIAOJFyApkDJVatW4aOPPsL69esBNAVWyuVyNrBSIBCwlGRPcBYuNGCS2rYrKys7Rc6wQMMVg8w5sJL6Anz1uzifmK83ZhhfUAaZWq1mN7fQ0FCHwErKZPI13sV5Dq43ZhhfKJVKSCQS6HQ69rt3DqxsSbyLs0nS+XcdAR1KuADAI488goULF+LZZ5/FgQMHEBYWxgZW5ufnA2iiMRcWFqK0tNTlM5xNYs4Bk9crM4wvnKtYugqspMKF78Jy1lquV2YYX0RGRkIikbAMMkqk4AZWyuVyj34X57lxXhfXIzPMFzgzyGhgJVeg+xqt78ocRp/T0dDxWgzg3XffxaRJk/DnP/8ZBQUFmDt3LtLT09mKld6qU3JPZ4T8UWEyPDwcjY2N1zUzjC9iY2MhkUhYBplzYKWv1Sm5AZPXMzOMLwQCAaKiogD8wSBzDqzkUz2RCy7B5XpmhvGFKwaZTCYDwzDsmPvj1OdqPB2FGeYKHVK4iMVifPXVV4iPj8ddd90FnU6HJUuW4OjRozhy5AjCw8MxbNgwj8KFLqL6+nqYzWYkJyfDYrGgqKjoumaG8YVAIEBsbKwDg4wbWEmrU/Lxu3ADJruYYfzhzCBzDqzkU53SOZqcOqGvd2YYXzgzyJzNkb5E63OFUEd04Dujw345lEFWV1eHe++9F+PGjXMIrJzwv+qUzsFN3Emz2+1swKRMJkNhYSFEItF1zwzjCy6DrL6+vhk1mY/fxVlL6WKG+QaJRIKoqCiWQcYNrBQI+FWn5NLyu5hhvsOZQSaVStm6OlwLCR/Qazu6YAE6sHABmphh//rXv/Drr79iyZIleP7551FQUICtW7di0qRJaGxsbFadkmtX5laYLC4uhtVqRY8ePbqclz6AkiD0ej20Wq1DYCWf6pTcgMkuZph/kMvlDjnIuIGVNBWMO1s+/TfdxLqYYf6ByyCz2+0sNZmOrTfh4mo+OrJgATq4cAGAm266CWvWrMHHH3+Mo0eP4tZbb8Xq1avRs2dPREVFNTONUX+LzWZDTU0N4uPjUVNT08UMawEog0ytVsNsNrMaiLdUMNyAyS5mWMvAZZBRc5bBYIBMJmNP0a7APSXTQ0CXYPEPXAYZ/Y6p9uKcycIVuHExHV2wAJ1AuADAQw89hCeeeAKLFi3CjTfeCK1Wi40bN7qsTknV/8rKSohEIohEIqhUKqSmpnYxw1qAyMhIhISEoLa21iGhpafqlNQEBqCLGRYAUAZZQ0MDG0QJwG11SrqZ0cNAFzOs5QgPD4dAIIBOp4NYLHYwy3tKnc/9b2fxc3WOXgBYtmwZJk+ejCeffBIzZszAhg0bMGTIEJw7dw51dXUA/jilmc1mNDQ0QKlUory8HLGxsYiLiwtyDzo+YmJiIJFIUFtby2olNBWM88mNCiBK1exihrUc3BxkjY2NEIlErPZC/S7O5hegaS66mGGBgUAgQHh4OBiGYbV4rvYCuJ4D+u/OIlgAQEAClbqzHUCj0eCmm26C2WxGeHg4Ro0ahX/9619Yu3Ytbr31Vtb8UlZWxm54CoUCmZmZXYsqQKAkCZFIhMjISOTn52PLli24du0arFYr0tPTMWnSJAwfPpyN5O9y4AcWVqsVtbW1rHmrpKQEu3btYmsRpaWlYdKkSRg5ciQUCgVrmuyag8DBYrFAq9WySURLS0vx888/48KFCzCZTOw6GDVqFEvb7wx+Fi46lXABgKtXr2LMmDGIi4uD1WpFREQEBgwYgGeeeQbR0dGQSqUoKSmB3W5HaGgoevfu3WVjDjDMZjOKi4vx+eef44cffkBWVhZGjhyJsLAwFBcX4/Dhw4iPj8ebb76JgQMHdm1qrQCTyYSysjL885//xA8//IC+ffu6nYMBAwZ0rYFWgNFohEqlwvr16/Gvf/0L2dnZzeYgISEBb7/9NgYMGNCpBAsAgHRCHDp0iCgUChIfH0+USiUBwP4MHz6cvP322+Ts2bPEaDQGu6mdEkajkTz66KNk0KBBZNeuXcRgMBCGYdif4uJi8uqrr5LBgweTc+fOBbu5nRJdcxB8XO9z0HkMfBzcdNNNmDFjBlQqFRobGx3+dvz4cbz44ovYunVrFzOslfD999/jwIED+Oijj7Bv3z6sXbuWdWyeOXMG8+bNww033IA5c+bg+eefd0hf3oXAoGsOgo/rfg6CLd1aAzt37nTQVtz97Nq1K9hN7XRobGwko0aNIitXriTffPMNkclkRC6Xk2XLlpHjx4+Tvn37EgBk7Nix5Nq1a2TUqFFk9+7dwW52p0LXHAQfXXPQxODpdJg0aRIRiUQeBYtIJCJTpkwJdlM7Hc6fP0/S0tJIfn4+0Wg05OGHHyYikYjI5XKSkJBAAJDMzExy7NgxwjAMefXVV8mSJUuC3exOha45CD665qATmsXq6uqwf//+ZtURnWG327Fv3z6WptyFwKCqqgqhoaGIi4tDWFgYVqxYgTvuuAMmkwnV1dWIjY3F559/juHDh0MgEKB3794oKCgIWL3xLnTNQXtA1xx0ojgXCm6VxNa4vgueIZVKYbPZ2GjvwsJC5Obmsn/X6XT47bff2NQY/pZD7oJ7dM1B8NE1B51QuNA05K11fRc8IyMjAxaLBQUFBTh37hzuv/9+5ObmIjMzE3fccQdsNhteeeUVrFq1ChaLBcePH8fgwYM7Hw0ziOiag+Cjaw7QOR36kydP7vK5BAlms5kMHz6czJs3j2zatIkolUrWtsy1PY8ePZocOXKEpKWlkQsXLgS72Z0KVquV/PnPf+6agyCiaw4I6XRBlACwe/duzJgxw+t1u3btwvTp09ugRdcHfv/9dzz55JM4ceIEwsPD8frrryMiIgJ9+/bFDTfcAKDJHLBmzRqMGTMGy5YtQ1RUFL7++utOlfYi2DCbzfjrX/+Kbdu2YdmyZV1zECScPn0a06dPx8svv3xdzkHn6QkH06dPx2uvvebybzQa/O233+4SLAFCdXU15s2bh5EjR8Jms+Hw4cPYuHEj3nzzTZw4cQJyuRx6vR4WiwUWiwX9+vXDCy+8gPr6eqxfv75TLahgo7i4GOPGjcPmzZvxl7/8pWsOggi73Q6tVouXX375+pyDYKtOrYU333yTiMViMnr0aAdz2JQpU7riWwIEi8VCVq5cScLDw0l0dDT5+OOPic1mI4QQwjAMOXnyJLnppptIZGQkGTBgABk+fDjp1q0biY6OJk899RTR6/VB7kHnwo8//kgiIyNJt27dyIkTJxzmICYmpmsO2hAXL14kMTExZPjw4eTXX391OQcKhYIoFApSUVER7Oa2CjqlcKmsrCRKpZI8++yzhBBCamtrSUFBAamtrQ1yyzoPfv75Z5KdnU2EQiFZsGABqaurc3md1Wols2bNIj179iSffvop2b9/P9FqtW3c2s4Ni8VCFi9eTACQO+64g9TX1zv83Wq1kqtXr5ItW7aQJ598kgDodPb99oTCwkKSlJREBg4cyK4L7hzQdZCfn09CQkI6XXwLRacULg899BCJiYlptsi60HIUFRWRWbNmEQBk3Lhx5MyZM17vGTRoEHnkkUfaoHXXH0pLS8no0aOJWCwmK1euJAzDeLy+rKyMACDbtm1roxZeXygrKyPdu3cnvXr1IlVVVV6vf+2114hUKiWFhYVt0Lq2RacTLqdPnyYCgYB88MEHwW5Kp4LBYCCvvPIKkcvlJCUlhXzzzTdeNzJCmthjEomErF27tg1aeX1h165dJCYmhqSmppLffvuN1z0Mw5DY2Fjy6quvtnLrrj+oVCqSnZ1N0tLSSElJCa979Ho9SU1NJbNnz27l1rU9OpVwYRiGTJw4kWRlZRGLxRLs5nQKMAxDNm/eTDIyMohUKiUvvvgi0el0vO/PyckhAMjRo0dbsZXXF6xWK3n55ZeJQCAgM2bMIDU1NT7dP2XKFHLHHXe0TuOuU6jVajJ06FCSkJBALl++7NO9X375JQFADh061EqtCw46lXDZtm0bAUD+85//BLspnQIXL14kU6ZMIQDILbfcQgoKCnx+xoYNG4hAIPBJIHXBPSoqKsiECROIUCgkb731FrHb7T4/Y8mSJSQjIyPwjbtO0djYSMaMGUMiIyPJ2bNnfb7fbreTG2+8kQwbNsyv+Wyv6DTCxWw2k8zMTDJ16lRe5pouuIdarSbPPvssEYvFJDMzk+zYscPvZz311FOkd+/eAWzd9YtffvmFJCQkkMTERHLw4EG/n/P1118TAF0+yQDAZDKRqVOnktDQUHLs2DG/n3PkyBECgGzcuDGArQsuOo1wWblyJREKheT8+fPBbkqHhd1uJxs2bCDx8fEkNDSUvP3228RkMrXomePGjSN33313gFp4fcJut5N//OMfRCgUksmTJ/NyFHvCxYsXCQCyf//+ALXw+gRlQspksoCM5d13302Sk5NJY2NjAFoXfHQK4VJbW0siIyPJY489FuymdFgcP36cjBgxggAg9957LykrK2vxM+12OwkLCyNvv/12AFp4fUKlUpGpU6cSgUBAXnnlFTaOqCWw2WxEoVCQlStXBqCF1yfsdjt54IEHiFgsJtu3bw/IM69evUqkUin5+9//HpDnBRudQrg88cQTJDw8nFRXVwe7KR0O1dXV5KGHHiICgYAMGjSI/PrrrwF7dmFhYVdRthbg8OHDJCUlhcTFxZG9e/cG9NnDhw8nDzzwQECfeb2AYRjyxBNPEIFAQL799tuAPvv5558nCoWClJaWBvS5wUCHFy6XLl0iIpGILFu2LNhN6VCwWCxk1apVJCIigkRFRZG1a9cG5FTMxQ8//EAAkMrKyoA+t7PDbreTd999l4hEIjJu3DhSXl4e8Hc8+uijZMCAAQF/7vWAl156iQAg//znPwP+bI1GQ+Lj48n9998f8Ge3NTq8cJk5cybp3r17i30D1xN++eUX0q9fPyIQCMjjjz/eapkL/t//+38kMTGxVZ7dWVFXV0duu+02AoC88MILxGq1tsp71q1bR8RiMTEaja3y/M6Kd955hwAgK1asaLV3rF+/ngAgv//+e6u9oy3QoYXLnj17CADy/fffB7spHQIlJSVkzpw5BAAZM2YMycnJadX33XrrrWT69Omt+o7OhGPHjpGMjAwSFRXVIoYeH/z3v/8lAMipU6da9T2dCR999BEB0Oo+EZvNRgYMGEDGjBnToZmvHVa4WK1W0q9fPzJu3LgOPQFtAaPRSP7xj38QhUJBkpKSyFdffdUmY5aamkpeeOGFVn9PRwfDMGT16tVEIpGQESNGkOLi4lZ/Z2NjIxEIBOSzzz5r9Xd1Bnz55ZdEIBCQZ555pk3Wzs8//0wAkH/961+t/q7WQocVLuvWrSMAyIkTJ4LdlHYLhmHI1q1bSffu3YlEIiHPP/98myWNrKmp6fCLoy2gVqvJ7NmzCQDyzDPPELPZ3GbvzsrKIk888USbva+jYuvWrUQkEpEHH3ywTQ+yt956K+nWrVuHNV12SOGiVqtJXFxcF9vFA3Jzc8nUqVMJADJjxgySn5/fpu+nJ6+2fm9HQk5ODunZsyeJiIggmzdvbvP3z507l4wdO7bN39uRsHfvXiKVSsmf/vSngBNevCEvL4+IxWLyzjvvtOl7A4UOKVyWLl1KQkJCAhKL0dmg0WjIc889R8RiMenRowfZvn17UMyG7733HgkNDe1U6SwCBYZhyMcff0xkMhkZOnQouXLlSlDa8c4775CwsLCuOXKDo0ePkpCQEDJjxow21Si5eOqpp0hYWFiLA2eDgQ4nXAoLC4lUKu3K6uoEu91ONm3aRBITE0lISAh58803g6pO33vvvWT06NFBe397hU6nI/feey8BQObPnx/UOaKEGH9yxnV25OTkkIiICDJ+/HhiMBiC1o66ujoSFRVFHn300aC1wV90OOEyZ84ckpKS0mlSJAQCJ0+eJKNGjSIAyD333EOuXbsW7CaRvn37kgULFgS7Ge0K586dI3369CFKpTLgwXf+oKqqqott6QK5ubkkLi6O3HjjjUSj0QS7OWTVqlVEKBSSc+fOBbspPqFDCZdff/2VACBffPFFsJvSLqBSqcgjjzxCBAIBGTBgQIuSGQYSBoOBCIXCVgky66j4/PPPiUKhIAMGDCB5eXnBbg6LpKQk8vLLLwe7Ge0GRUVFJCUlhfTv37/dVK61WCykd+/eZMqUKR2KGdthhIvdbifDhg0jN9xww3VvI7ZarWTNmjUkMjKSREZGkg8++KDVgu38we+//97F5Psf9Ho9mTdvHgFAHnzwwXZXs37mzJlk5syZwW5Gu0BFRQXp2bMn6dmzZ7ura799+3YCgPz000/BbgpvdBjhsmnTJgIgoLmvOiIOHDhABgwYQAQCAXn00UeJSqUKdpOaYf369UQkEgXVVt0ekJeXR/r3708UCgX5/PPPg90cl3jppZdIcnJysJsRdNTW1pJ+/fqR1NRUUlRUFOzmNAPDMGTSpEmkT58+HaYQYocQLo2NjSQ5OZnMmTMn2E0JGq5du0buvvtuAoCMGjWKnDx5MthNcov58+eTfv36BbsZQcU333xDlEolycrKatdlIP79738TANd10leNRkNuvPFGEhcXR3Jzc4PdHLc4c+YMEQgEZPXq1cFuCi90COHyyiuvEKlUSgoLC4PdlDaH0Wgkb7zxBgkJCSGJiYnkiy++aPdmwZEjR3aKxHv+wGg0kscff5wtXdDeK3AWFBQQAGTPnj3BbkpQoNfryU033UQiIiLI6dOng90cr3j44YdJVFQUqaurC3ZTvKLdChfquCotLSUKhYIsXbo0yC0KHPg45RiGIdu3byc9evQgYrGYLF68uF0wV7yB1gpZvnx5sJvSKvA0d1euXCFDhgwhMpmMrF+/vkM4X+12O1EqlWTZsmUdor0tgXP/zGYzmTFjBgkJCSFHjx4NUqt8Q2VlJVEqleTpp592+H17nDsx2gkYhsGVK1ewZ88enD17FiaTCenp6Thx4gRCQ0Px8ssvB7uJfsNd3yZNmoTRo0cjJCTE4frLly/j6aefxu7duzF16lT85z//QVZWVpBa7x3c/v36668wGo04deoU9u3b57J/HQl8527Lli2YN28e4uLi8N///hdDhgwJcsu9g/YtLi4O69evx7lz5zx+lx0NnuZuxIgReOihh/DLL7/gP//5D0aPHh3s5vJCYmIiXnrpJfztb3/D9OnTUVBQwGtPCQYEhBAS7Ebo9Xq8//772LhxI7KysjBy5EiEhYWhuLgYe/fuhUgkwjfffIP+/fsHu6k+w13fSkpK8OuvvyIhIQHLli1D//79odPp8MYbb+D9999Hamoq3n//fdx+++0QCATB7oZbeJq7w4cPO/Svo4HP3L3xxhvYtGkTVq9ejdmzZ+Ozzz5DREREsJvuFdy+9enTByNHjkR4eLjL77IjwtvcqVQqlJeXY/PmzbjzzjuD3VyfUFdXh549e0IkEmHUqFEe95SgItiqk9FoJAsXLiSDBw8m+/btI3q9nnzwwQfkueeeI8eOHSM1NTXktddeI0OGDOlwQUR8+zZ48GDy1ltvkaSkJKJQKMg//vGPDsG06pq710hUVBQRi8VkzZo17dI04Qqded4I4de/V199lfTo0aPD9Y/2beDAge1+7oIuXL744gvSq1cvcubMGcIwDDGZTGy0+SeffEIIaQoievPNN8mMGTM6VGQ+37698cYbRCgUkrvuuouUlJQEudX80TV3TXM3evToTtm3jjhvhHTu/nWkvgmDqDRBr9dj3bp1mD9/PgYOHOjW/CORSLBgwQJotVocOXKkjVvpH3zp28KFCzFixAg89thjSE9Pb+OW+oeuuftj7gQCQafsW0ebN6Bz96+j9S2oDv2ioiKUlZVh1KhR2LVrFxiGgc1mQ0NDAwDg3Llz2LFjBwAgJSUFU6dOxS+//IJp06YFs9m84Gvfpk+f3mH6BnTNXVff2ic6c/86XN+CpjORppof2dnZZOvWrUQmkxGhUEiEQiEBQAAQgUDA/u7+++8nX3/9Nbnnnns6hG27M/eNkM7dv66+dcy+EdK5+9fR+hZUzUUqlcJms0EikSAzMxNWqxWEEJSWlsJkMiE+Pp5l3iQkJMBoNMJoNEKn00EikUAsFkMsFrdLNpWvfTOZTBCJRLBarRCLxRAKg2qx9Ap/+icWtxvmu0eIxWJYrVaf+iaVSoPcau+w2WzQ6XSwWCydqm+EEDAMA0IIBAJBp5g7QghMJhN0Oh10Oh20Wi1OnDgBs9ncYfoW1NWekZEBi8WC8PBwHD16FABgsVhw66234vjx43j55ZfxwAMPNDVULMaiRYuwfft2jB07FpMnT8bkyZMxdOhQyGQyVtDQH5FIFMyu+dy35557DnFxcVCpVIiMjIRAIIBIJIJQKIRQKIRIJGpXQlQsFkOn0/nUv27duqGqqgoymQxyuRwymSzo80RBCEFZWRny8vLw3//+F2q1mnffFi9ejAEDBgSz+S7BMAzUajVqampQU1OD+vp61NbWwmAw+Ny39vTtMQzDChP6X7vdDq1WC6FQCKPR6FP/PPkv2gJ2ux2NjY2sIKH/NhgMqKurg0ajgV6vZ//WUfoWVOGSkpKC0aNHY9OmTfjoo48glUphNpvZDUehUCAiIgKEEOTn52P//v1YtmwZLly4gK+++gqrVq1CZGQkK2jGjx+P2NhYAIBAIHAQNhKJpE03aF/7dvjwYbz00ku4fPkypFIp4uPjkZCQAIlEAvK/UCRXAqctQQhBUVERcnJyUFVVhczMTGzcuBHr1q3z2r8jR47g888/R0hICEwmEwwGA4Am5yNX2LT1QqisrERubi7y8vLYhTtmzBicOXOG99wdOXIECxcuBGliX7J9CMai1ul0rDCpra1ltcvY2Fj0798fw4YNw86dO336Lh944AEYDAbI5fI216ipAOEKEwqBQACDwQCtVguj0QiBQIAePXr4tO6OHDmCJ554os36YzKZHAQJFSIUVquVFSRmsxlyuRy9evVCSkoKoqOjcf78eZ/WXFv2zRlBFS5isRhLlizBnDlzsGHDBjz00EMAmj4aoVAIgUAAQgiqq6uxaNEiXLlyBYcOHcL69evx+eef49SpU9i1axd27tyJJ554AoQQDBs2DNOmTcOUKVMwaNAgWCwWGI1Gh3c6/7TGghEKhXj00Ucxb948r31bvHgx7rrrLvz5z3+GVqtFZWUlKisrUVZWhqioKCQmJiImJgZA06nNYrE4vIcrcFqjLzTSOScnBw0NDUhJScGdd96JMWPG8Jq7xYsXY9q0aUhLS4NAIEBsbCwEAgFMJhPMZjOMRiMaGxsBNJnb5HI55HI5JBJJq2zQ1dXVyMvLQ15eHjQaDZRKJfr06YPs7GwkJSVBIBBAoVBg9uzZvPp2xx13oG/fvhAKhexBoK0EjclkYoVJTU0NTCYThEIhoqOj0atXL8TFxSEyMpI1JzMMg2effZb3d3nHHXdg4MCBsFgsMJvN7EGgtYQMFSRUmHAPVkKhEBKJBBaLBTqdDhqNBna7HXK5HAkJCQgPD4dIJMKLL77I+7u87bbbkJ2d3Sr9oEKCq41YrVYATftQWFgYwsLCIBQKodFooFarYbVaIZPJ0Lt3b6SkpCA5ORkymQx1dXUoKyvDX/7yF7zwwgu85641+sYXQY/QJ4Rg27ZtWLRoEW655RY88sgjKC4uhkajQXZ2NiorK7F8+XL07t0bU6ZMwaJFi6DX67F8+XI8/PDD7KJVqVTYs2cPdu3ahT179qChoQExMTGYNm0apk+fjsmTJyMyMhI2m439oV0XCoUuhY6/sFqtUKvVIITg0KFDeOGFF3DLLbfgoYceata39957D5mZmVi9ejXCw8PZZ9jtdqhUKlRWVkKtVkMkEiEhIQFJSUmIiIhgF6Ddbmf/DfzxoXEFjr8bm91uR35+Pk6fPg2tVouMjAwMGzYMCQkJDnO3ePFit/2jc7dy5UpIJBLo9XoQQqBQKBAaGsq2zWazscLGbDaDYRgIBAIHrUYikfg9J3V1dayGUl9fD4VCgT59+iArK4sVehQGgwE//PADjh8/jp07d+LWW291O3eJiYlYvnw5MjIymr2TuzkCCIigsdlsqK2tZYWJTqcDAERERCAuLg5xcXGIiYlhT7NmsxlarRZWqxUKhQJhYWEQiUQ+zVt4eDgIITCbzTCZTCCEsIeAlmjPXK2EChMK7mFJIBCAYRhotVpoNBrWPxkREYGIiAjIZLJmz/3222/x//7f/3M7d8uXL0evXr3wzjvvICoqqkXr3WKxNNNG6HcOACEhIVAqlQgLC4NSqYTFYkFdXR3Ky8tRV1cHAIiJiUFKSgpSUlIQExPDfiMWiwXXrl2DVqtFTEwMkpOTsWPHDp/mLlgIunABmj6GJUuW4LPPPkN0dDSioqIgl8uh0WgQGhqKhx56CPfddx9CQkKgVquxePFifPbZZ5g0aRI++eQT9OjRw+F5NpsNx48fx+7du7Fz507k5ORAIBBg+PDhmDFjBmbOnImhQ4eCEOIgbGw2G+x2O4A/TFDOpjVvG4PRaIRWq4VUKkVERAQEAgFycnLw7rvv4tSpU4iMjHTo26xZs3DbbbehT58+bk+DRqMRVVVVqKyshMlkQkhICJKSkpCYmMguLO5CpQKHKzydBY4nWK1WXLp0CWfOnIHBYEDPnj0xbNgwVntynrucnBwsW7YMp06d8jh39HqDwQCDwQCBQIDQ0FDI5fJm40pPyiaTCRaLBYQQiEQin/w1arUaeXl5yM3NRU1NDWQyGXr16oXs7GxkZGS4HAej0YgtW7bAZDJh1qxZuHr1qtu5e+ihh3DzzTfDZDIhMTERkZGRbtvir6BhGAYNDQ2sMGloaAAhBCEhIawwiY2NbbbB2mw2aDQamM1mSKVShIeHOzh36bw5902tVkOpVDabN+59FosFJpMJDMNAIpFAoVB4nQvaf64w4Y6FszCh0Ov1UKvVaGxsBCEESqUSERERUCqVbsfObDbDYDDg8uXLWLlypdu5u++++yCTyWCz2dgDpqf5oN8uV4g0NjbCbDYDAEQiEStE6I9SqYTNZkNFRQUqKipQXl7OzklycjKrncjl8mbvq6mpQXl5OcRiMdLT01lB4WnuFAoFHnnkEdx///1Bzy/WLoSL1WrFhAkTMGXKFPz1r39FUVERzGYzEhMTkZmZibCwsGb3/Pzzz3jkkUdQU1ODt956C0888YTbD7yqqgq7d+/Grl27sHfvXmg0GsTHx2P69OmYPn06pk6diujoaABoJnCsVivsdju7MTgLHEoeIIRAp9PBaDSyJxXuh2qz2VBaWtqsbwqFAteuXUNoaCirEbgDIQRqtRqVlZVQqVQghCA6OhpJSUmIjY1ttllyFzIVOBRU0ND/CgQCmM1mXLhwAefOnYPFYkHv3r0xZMgQj5smhclkQl5eHmpra2G1Wj3OHW2bXq+H0WhkF6XzBsntN9VoTCYTa1rg+mukUimEQiF0Oh0rUKqqqlhmTXZ2Nrp37+5xEzSZTNi6dSsaGxsxZ84cREVFAXA/d7Rv1dXVaGhoYLVKb/AmaHQ6HVQqFWpqalBXV8f6TagwiYuLQ2hoqMtn2+121o4vFosRHh7ucuOi4PatoaEBcXFxGDJkiNt544KanKmQkcvlrAbA9ZFwDzoCgaCZMHH1XI1GA41GA5vNBplMhoiICISHh3vVMGj/ZTIZFAqF17kDmuaDa64SCoUss87Z0U7XkFwuZ4UHFSQKhYI1TdXX16O8vBwVFRWora1l1yoVKHFxcR6FY0lJCRobGxEXF4fk5GSX361z3+Lj4xEbG4uEhASPc95WaBfC5T//+Q8WLVqE//znP8jMzOR9X2NjI1566SV8+OGHGDlyJD777DOvNkar1Ypjx46xvppz585BKBRi1KhRmD59OmbOnInBgwc3m3hnDcdms7EfGiEEer0eABAZGYmwsDCfKNI6nQ7V1dVITEyEUqnkdY/NZoNKpUJFRQW0Wi3EYjESExORlJTkcWPgmtGo0DQajbhw4QJyc3MBANnZ2Rg2bBivDYaCnhbphswXNpsNjY2NLD1WqVR6NX8xDMOa0Chds7CwEEVFRaitrWVt1n379kWPHj14mdMsFgu2bNkCrVaL2bNnu9TSPKGqqgpqtRrJyck+mSLo+HP9JtRJGx0djfj4eMTFxbFasKfnNDY2orGxEQKBAGFhYQgJCfHJBKfX62EymXzuO517qgFIpVJ2zLnaiCcTLdfsRQ8cYWFh7KmcL6iZ0JNm4wxqbWhoaGAFM/VrCoVChIaGOmgiYWFhzb4pi8WCyspKlJeXo7y8HCaTCRKJBMnJyaxAUSgUHttBCGFN4RKJBOnp6T6tQaBpT7Tb7e0ieWq7EC733nsvRCIRvvzyS7/uP3LkCGt7fPXVV7F48WLe9vmysjJWq9m3bx90Oh2SkpIwffp0zJgxAzfffLPbiWIYBkajEbW1tbDb7Q4+BMC9luMKVVVVMBqNSEtL89n+q9frWbOZxWKBUqlEUlISEhISPPLcGxsbcfr0aVy4cAECgQDZ2dno27cvq077QhYwGo2wWCx+f9TUbk1Pqkql0qOWYTQacfnyZeTl5aGoqAgMwyA5ORkZGRnIyMiATCbj7a+xWCz48ccfUV9fj1mzZiEuLs6vPlRWVkKj0SAlJcXjpmC1WlFXV4eamhqoVCqWzBAeHs5qJtHR0bwPKJQxRQhBaGgolEqlXw53Kqgp4cIdXFGBgaaDgsViAcMwEIvFCAkJ8RpnYTAYoNFoWLJBaGgoIiIiEBYW5rNvymQywWQysX4lZ1DKr7M2YrPZADSRSRQKBUJCQhAREYGoqKhma5qL+vp61tRVU1MDQggiIyNZ30lcXBzveTAajSgpKYHBYGB9q/7ModVqhU6ncykA2xpBFy75+fm4/fbbsWbNmhalKTAajXjttdfw3nvvYdCgQdiwYQMGDx7s0zMsFguOHj2KXbt2YdeuXbh48SJEIhHGjBnD+mr69+/PfmzO/hXKFrLb7W61HIFA4BAASgUOwzAoLS1lbbH+gKrjlZWVqKmpAQDWCch1Emo0Gpw+fRr5+fmQSCQYOHAgBgwYwJqlnIkCfMgCdIPkq3m5A6VqMgyDkJAQhISEsIvMbDbjypUryM3NRXFxMQghSE9PR3Z2Nnr37s2ecH3x11itVmzfvh01NTWYNWsW4uPjW9T+iooK6HQ6pKSksGPBx28SFxfXzCfibDpz3uTMZjNrOlIoFCxbyl9QIgrXwe2L051LzjAajbDZbBCJRKzZkvseavayWq3s+gkPD/d7Q6QaMGUams1ml3EjlMEXEhLSzDdCv3+6fp39MFar1UE7MRqNEIvFSEpKYn0n7syV7kAIQVVVFRv/lZGR4fMznKHRaFhTczARdOHy97//HQcOHMCBAwcCEsF98uRJPPjgg8jNzcXzzz+Pv/3tb25t+d5QUlKCXbt2Yffu3di3bx8MBgNSU1Mxffp0TJgwASNGjEB8fDwv1dWVwKHkAaDJ1muxWFBTU8NSj1tC97RaraiurkZlZSV0Oh2kUilkMhkqKytRUVEBhUKBQYMGoV+/fl4XNN1guALHmSyg1+shlUoD8kFznf60H0VFRSgqKoLdbkdqaiorULwtRHf+GirY9+3bh7q6OsyaNQtJSUkBaXtFRQXr7zEYDKxmK5VKERsb69Vv4uqZ3GVK/QHUMRwRERGQU6rdbkdtbS1rmuTrdHcHygCkY261WtksG0KhkDV7eTMXeQL13VVWVkKv14NhGJeUX65vhI9mR/0warWaXUfUzxkREcFqJ/Hx8X6vU4PBgJKSEphMJlZbCQRl3Ww2Q6/XIzIyMqiZPoIqXLRaLW666SY88sgjWLhwYcCea7FY8M477+CNN95Ar169sGHDBowYMaJFzzSbzTh8+DB27tyJHTt24MqVK5BIJBg3bhxmzJiBGTNmIDs726ePwxVbraqqCjqdjmWQBIIiffXqVezfvx+5ubmQSqUYNGgQRo8ejeTkZL8FujNRoL6+HnK5HAqFohk7zdcFY7PZUFRUhIsXLyI3NxdGoxGJiYkYNGgQBg4c6LMd2rnddPHt2LED5eXlmDp1KjIyMlitRiqV+txmrt+E2s3NZjN69+6N9PR0Xn4Tb6BCRa/Xs8566kT2B66c7rW1tQgNDUVoaGhAYqeMRiPq6+tZX1JoaCjLcPNVy6ImH65G0tjYCKPRCLvdjujoaNakRoWIr4LLZrM5aCdarRYikQjJyclIT09HcnJyiw9QDMOgsrIS1dXVCAkJQUZGRosErDMo8Yeux2AhqMLliy++wDvvvINDhw75bef2hAsXLuDBBx/EqVOn8Mwzz+D1119vET2PslgEAgHq6uqwb98+7Nq1CwcOHIDRaERGRgYraCZNmuSXesswDIqLi8EwDBITE1mNxxVF2lt+tfLycuTk5KCsrAyRkZEYPHgwoqOjUV1djbq6OggEAsTFxSEpKQlRUVEt2qTUajVCQkIgEomaUaG5mQXof931Ozc3FwUFBbBYLIiPj0dWVhZ69eoFsVjM5lXi4/T3BLvdjp07d+LatWuYOXMm4uPjWYIA3/ga6jehrC5qFoyMjGQ3T6PRCJPJhLS0tBZ9d5SJqNfrWWc9l5lE4cp0xn2GszCh4DrcNRpNizVQSoPWaDQsUYNu+na7HWazGQKBwG1WBqq5OseOUMov1XqUSiUbaxMXF+f3GGs0GlaYqFQqMAyD8PBw1hFPCQ503bUEjY2NKCkpgcViYf2irRFgS0kJfJierYWgCRdCCGbMmIGsrCysWrWq1d5js9mwatUq/O1vf0NKSgo+/fRTTJgwwefnUH47179CYTQacejQIZaBVlhYCKlUivHjx7O+ml69evH+iEwmE8rKyhAdHe2SIm21WlmB44oiXV5ejrNnz6K2thaxsbEYOnQoevTo4fB+i8XCkgD0ej1kMhnLNvN1kdITtbPNn/qfuFoOBT0Rl5WVoaCgAJcvX2aZSllZWcjKymrGWqInV75Of1dgGAa7d+9GUVERbr311mbBj+78NTQAVKfTob6+ng2SpSdxKlCc/SZlZWUsUcPXUyQ3roLGeLhiQXGzAnB/x40tcY5055q5uKDEAF+JGZStplarHYRgREREs0MWZftZLBb2e7ZYLNDr9aw2Qr8VmUzWjKlFWXCEEJYp6ctBzmazobq6mhUojY2NEIlESExMZH0nztoxPeRRn6mvAoFhGNbxHxoaymrKrQW73c5mnwhW8sqgCZfffvsN8+bNw1dffYUbb7yx1d93+fJlPPzwwzh8+DAef/xxLFu2jBdl1Dl+hY9JpqCggCUFHDx4EGazGT169MDMmTMxY8YMTJgwwetGU19fj/r6eqSmpnqNU6AL9MqVKzh16hTq6+sRFxeHwYMHo1u3bs3Mas4Lg6acqa6uhs1mQ0REBHuq4rN5042BJtz0BLvdjtLSUly6dAn5+fnQ6/UIDw9HVlYWsrOzkZiY6NWubzKZoNfrYbfb2Uh/PqYbQgj27NmDK1eu4JZbbkH37t09Xk9PtNSHQn0csbGx7CYUHR3t8d0Mw6CsrIzVYPgKGJPJBK1WC5vNxn537ubC2enOFSbObD9v86PX62E2m9lDDZ92ajQaaLVadj6oc955XGiaH6qJ0PusVisEAgEiIyObmbY8aah6vR42mw3h4eFe+6XT6VhhUl1dDbvdDqVSyfpOEhMTeQWCOsfD8IFWq8W1a9dgs9mQnJzsMcYlkKCHkmBF6QdNuCxcuBAlJSX46aef2izBH8Mw+Pjjj7F06VJER0dj/fr1mDFjhtvrqfSnH7A/Jw29Xo+DBw+yWk1xcTHkcjkmTpzIxtX07Nmz2X2EEJSXl8NutyMtLc3th8wwDC5fvozTp09DrVYjNTUVQ4YMQXx8fDN/DgVXy6GmNaFQCIZhUFNTg8rKStTX17PmhqSkJI+Cgw8Nuaqqik2/otPpoFQqkZ2djT59+iAhIcEjWcBVZgEaH0Lji0JDQz36Hwgh2LdvH/Ly8tyOuat4E6FQiJiYGIdIeEoQ4FJYPflrKBPQbDYjPT3d43dEmVQWiwUymawZg8o50p3r7OdqI1wTGffv3P+6AqUjezJT03VBMwCIxWI2FYtUKgXDMC6z/NLxkkgkDkyt0NBQltBCeKaWsVgsMBgMCA0NdSmA7Ha7g3ai0+kgFAqRmJjImrv82XSpBYHSrT210W63o6ysDHV1dQgLC0N6errf5CJ/QOn9ERERQck+HhThUlFRgcmTJ+Pvf/87/vznP7f161FSUoJHH30Ue/fuxQMPPID333+/2UmN618JFBuHkKZspTt37sSuXbvw66+/wmq1onfv3qyv5qabbmI3H6vVimvXrrHxD1zYbDbk5eXh9OnTaGxsRPfu3TF06FC3VFouRZqa1TzlV7PZbKipqWHjbxQKBWs2c94cKUvHWaurqalhBQr1yVCTV0pKiseAOk9507gCh8ssEwqFrB3eue/79+/HpUuXMG3aNPTu3ZsdX26eLme/SXx8vEfNxGazsSY0Z38N9dnQ74YKGIvF4nKToSnjKb2V5sxyRwV2jnT35G+hY8An/QxlSEVHRzczcer1emg0GgfauVwuZ01i3Cy/zpRfLluLTyYGhmHcChnKCJNIJA4m3MbGRlaYVFVVsbFnXO0kUDWFqFnanR9Go9Hg2rVrYBgGKSkpbLb2toZarYZEImkxvdkfBEW4rFq1Cl988QUOHz4clE4DTR/yxo0bsWjRIshkMqxduxazZ88G4Nm/EkjodDrs37+fzYFWWlqKkJAQTJo0iRU2UVFRqKmpQXJyMkJCQmC1WnHhwgWcPXsWJpMJmZmZGDp0KG8zhjP4UKQbGxtRW1uL+vp6AE2xM0lJSYiLi4NIJIJOp4NIJEJISAjq6+vZ9Ct1dXWQy+Xo3bs3srOzPWpgnsDdYN3lTaOaDC22xrU1Hzx4EOfOncPkyZORkJDAChM+fhNfYLVaHZJvEkIgFAodiAEVFRWwWq2sgKGnfOqnoBqYJ6d7S5KR0vF0J2gYhkFdXR2rhdBYGrVaDZ1OB7vdzl7PjWSnY871j/jjE6Ptc85fxk0tw42Dovm3KLNLKBQiPj6eFSitGanuyg9DU7I0NDQgIiIC6enpQQ1mpKQSPibrQKPNhYvFYsGECRMwY8YM/O1vf2vLV7tEZWUl5s+fjx9//BFz5szB22+/zToNW0J59RWEEFy8eJH11Rw5cgQ2mw3Z2dm46aabMHz4cGRmZqKgoABWqxVZWVkYPHhwqyweVxRp+lNbWwuVSsXGtSQlJbEnyatXr0KlUkEqlTokiGwNlZxLFuDmTaOxFHa7HTKZDMeOHcPx48eRlZWFiIgINt6EG7zYGgn+uBuk2WxmN2GBQIDa2lrWRENP6SEhIWw0uDene6Db6SxoysrKoNPp0NDQgPr6ephMJggETWUIaBS7c4JGV8lHAwE6hna7HWKxGAaDAaWlpWwRNOqT4monbbmZc/0w1K8DAKmpqX4f+AIJLpOzrfONtblw+emnn7B48WLs3LnTpd07GCCE4LvvvsNTTz0Fu92OFStW4K9//WubS3ouNBoN9u3bhx07dmDHjh2oq6uDVCrFiBEjMHv2bNx1111IS0tr0zZxtZyqqiocPXoUZ86cQVlZGZRKJQYNGoRRo0YhOzubPWm25RhSLaC6uhqlpaU4cOAACgoK0L9/f4wePZolKbSEdu0v7HY7jEYjW10wNzeXNYnS2AmaOaCt2ka1PWrOovE5paWlEIlEiI2NRXx8PBITExEeHs4KlLYsV80wDFQqFYqLi3H16lVUVlZCLpeje/fuyMjIQEpKSlDptkCTALx69SrUajViY2ORkZER9NQrXAQr31ibC5e5c+dCJpNh06ZNbflaj6D+lfr6erz66qv47rvvMHPmTHz88cdtvoFT6HQ6nDlzBrm5uezJ9cKFCzhx4gSOHz8Ou92OAQMGsOaz0aNHt/oHbTAYkJ+fj7y8PHYDSk1NRWhoKKKioqBWq1nyQ3x8PGJiYpqlugl0CWqu34RqVECTX6+kpARjx47F4MGDQQiBTCZjaay+liHwFa6KXtEiVzS1CM1HRQMK3flrAgGaLdjZ0U6Zd7RIVVRUFJRKJRISEpCamupgMmsroWcwGNicXZWVlbBarZDL5awvjJpXXaWWaWvQIl5CoZBNGhuIeJhAwmazQavVtnm+sTYVLrm5ubjzzjvxwQcfYOrUqW31Wo9w5V/56aef8Pjjj0On02H58uV45JFH2mxhqdVq5OTkoKCgAFKpFAMHDkT//v0hk8lQXV0NvV4PpVLJMtB2796N6upqhIeH4+abb8aMGTMwffp0v/OTOcNkMqGgoAC5ubkoKSkBAHTr1g3Z2dls7A6lIVOGTmVlJRoaGiAQCBATE4PY2FjWjwA0L0HtKRDUGTQbgCu/Cc0gXFRUhJMnT2LMmDEYNmwY64w2Go0ghLDmHW9kAb5z7i3/Fk1RYjKZ2NoqtI4IHdPk5GSWIODKX+NLYS7K+OIKEVpKl5q3aJwIzUEVGxvLZiCmWaq5MVZ8gzX9AWUpUoFCvx2abj4lJQVyuRxWq5X143BTy3DHqa3gXMQrJSUFYrG4xfEwrYVg5BtrU+Hyt7/9DYcOHcKBAweCQo3jwlv8Crco2cSJE/HJJ5+0qhmvtrYWOTk5KCwsRGhoKAYPHozs7GyHkwbDMLh27RokEglSUlLY350+fRo7d+7E7t27cezYMRBCMHjwYMycORPTp0/HyJEjfTpJWSwWNkEkzTjMTRDJjdWgmWidTRM031NVVRWbqTkhIYHNuOuOIu2s6QgEAmi1WlaY1NXVsf4Ubp4u6jfJycnBkSNHMHLkSAwfPtyhTXa7nd3kqQOa5tDyRBZwZqc5CxMK5/xb9BujTDbqy+OCMgIFAgHS09MhFovd+mvEYjG7idKN1FWWX269Gy5Ti27KlN3nLgMxjUdxRUcOlKAxGo2sMKEkB7lczgqTpKQkto80KaVCoXDJsqNEDipk/Enf4wvcFfGi8DcepjURjHxjbSZcaB6xRx99FAsWLGiLV7qFL/Er+/btwyOPPILq6mq8+eabeOqppwIqGKuqqnDq1CmWcjxkyBD06dPH7TuMRiPKy8vZk6Yz6urqsHfvXlarqa2tRWRkJFvuefr06S6LklmtVly9ehW5ubm4evUqbDYbUlJSWIHi7sTjjoZMQQhBXV0dKisrUVtbCwCIjY1FUlISG4Fvt9sd6NFarRa1tbWoq6tDfX29gxM+MTERiYmJLvN0nT17FocOHcKNN96IUaNGuR1zmlGAZuRVKpUOwpcrOGixOPr/XGEjkUhc5t+imhKtnkhjOdxteFarFSUlJRAKhS4JEJQwUVdXh7q6OqjVapapJZFI2PQq4eHhDsKEnva5GYglEgkiIyM9ZiCmZmJnOrLzvHL/C3hPP1NbW8syuyjzkAakpqSkIDo62mX2ARqj4unUbbfb2ah/T6llWgK+Rbxou/nGw7QFgpFvrM2Ey6ZNm/Duu+/i0KFDQeN8A/7Fr3CLko0YMQIbNmzwWpTMG8rKynDq1ClUVFQgKioKw4YNQ8+ePXmdKmpra6HRaJCWlubR3my323Hq1Ck2gPPkyZMghOCGG27AjBkzMHXqVMTGxqKgoIBloSUmJrKxKHyCzOjC50MppxmOKyoq0NjYCKlUymaA5gYwcgVWVFQUoqKiEBYW5rCROZvU8vLycPDgQQwdOhRjx4712hagabOgzk65XM72wVX+Le5m6ryhcv02FouFjVanRab4zCk1s9CgTa6jXafTsdoLpXxLJBK2KJdCoYBYLGY1Gi6FWK/Xs1pTREQEL2ac3W5HfX09IiMjea0Pd4LGbDY7aCc0MJRb3tebKYtmxuY7jtxCctwccS2lbtPCfFKpFBkZGT4V9fMUD9OWaOt8Y20iXBiGwfTp09G/f3+sXLmytV/nFi2NXzl69CgefPBBFBcX45VXXsGSJUt8cpARQlBcXIycnByoVCrExcVh2LBh6Natm8/ZlEtLSwEAaWlpvO9VqVTYtWsXtmzZggMHDqCxsREhISEYMGAApk2bhvvvv9+nSqAA2ESHvpyGqHnv0qVLKCwsZKmSqamp6NWrF1u22Xls3VGk8/PzcejQIfTv3x/jx493yDzg6cRIBQjVMriUYK7fxdV3wqVCM0xT0ThubZWoqCi29LKnIEyuOauurg5Xr16FUChkU/I71xxxlYWAxteo1WrU1tay1RgjIyMRGxvrV+xOTU0Nq/3wBVc7oZHpQJN2kpqayiaB5Pu90ih8PkXHnEGzX9Nkl1Tw+rrmA1HEq734Ydo631ibCBdaKfKbb77BsGHDWvt1zUAT3JlMphbHr9CiZMuXL8eAAQPw+eefey1KxjAMCgsLkZOTg/r6eiQnJ2Po0KEtYqJZLBaUlpYiMjLSa1la8r8Eirm5ucjPz4fRaER4eDgIISgsLMTBgweRk5MDgUCA4cOHswy0YcOGeVxIVNUODQ31+LHS8efWhWcYBjKZDDExMWzqD4PB4HOm5vz8fOzatQtZWVkYO3asy+JsVMi4SyFPhYjJZGJrjdBgRm+gZjyTycQ6TMVicTPNx2w2s+lqqDAzmUzs+7nlczUaDSIiInhpss4ZiKlfRqFQwG63O/hruJmevT23vr4eMpnMq0ZKtROqodD8a7S8r7N2wtdH4y4K31cQQlhNhjIG5XI5r3ougSzi1V78MG2Zb6xNhMuCBQtQWlqK7du3ByW+oKX5wVzh1KlTePDBB3Hp0iW3Rcnsdjvy8/Nx+vRpaLVapKenY+jQoQEpSgUADQ0NqKurc1ufu6KighUojY2NCA8PR3Z2NrKyspr5Xaqqqthyz3v37oVGo0FcXBzLPps6dWqzoDCassRV7IPBYHDI02WxWNjYCeqEd3Yku8rUnJSUhKSkJJf9KygowO7du5GdnY3Jkyc75NKiGyv9oUKHaiJcs5JzRVC68VNh4cp0Qzc/vV4PkUjE1lahpXR1Oh20Wi1bF54KPOpkDw8PR3h4OOtQ52pYJpOJrUrqKqsBTbdCU7F4y0DMLZbGzYdGN1pXDnBqOnblrK6vr2d9J3V1dSCEIDo6mjV3uUrM6Gw685bnjGqS/pQ7dgWaWsZkMnnNX8Yt4kV9fIFqQ7D9MG2Zb6zVhQvNI/bKK69g7ty5rfmqZuD6VyIjIwNu8+QWJcvMzMSGDRswcuRI2Gw2XLp0CWfOnIFer0fPnj0xZMiQVqlZU15ezqYTEQqFqK6uZtOvaLVaKJVK9OnTB9nZ2bzpyVarFceOHWN9NefOnYNQKMTIkSPZEgKDBw9mWTyRkZHN8nTRdCY0NoHWhfclkyw3U3NkZCSSkpIQHx8PkUiEq1evYufOnejVqxemTJkCwLG2O+A6/5a3EtTcgmxms5klE1ABSp31tL4I9cFwS+nSZ9F69lzTFtVqvOVNo5qpXC5HamoqhEKh2wzEnjImO4M6vulG6y4fGmWdRUVFwWKxOBTQMplMkEgkbHlfd4cbd/AmaKiW50y0CAScU8twhUxrF/GiCLYfpq3yjbW6cFm5ciW+/vprHD58uFXSbLhDW+UHA/4oSnby5Ence++9rEO5d+/eGDJkCKKiolrt3VarFefOnWNTiTc0NEChUKBPnz7IysryySfjDmVlZaxWs2/fPuh0OiQmJuKmm27CwIEDMWjQIPZErFQqHfJ0tTRoyzlTs1AohNlsRk5ODvr164cpU6awc+tv/i2GYVzWygGaDhA0sp7+WCwW2O12li1GS+lymVp8SulSOKexoUuS1vWx2+0IDw+HzWZjK1DSxJYthbt8aPX19aioqIDNZkN9fT0IIYiMjGSFSVxcXEDWlDNBgmqEbcFq4gpYs9mM6upqMAzTqkW8KCgTMRh+mLbKN9aqwsVisWD8+PG49dZb8fLLL7fWaxwQSP8KX5hMJuTk5GDVqlXYtm0b4uLisH79etx6662t9s6Ghgbk5eUhLy8PZWVlMJvNGDp0KIYMGYKMjIyAC1NCCFvfZP/+/Thw4ABOnjzJRiffeOONuOWWW3D77bdjwIABAftoudqIwWDAqVOnsH37dkRHR2P8+PEs6yhQBxcaRU9za2k0GjZpJy0VQE11UVFRiIyMZE/YgTqFMgwDrVaLhoYGlqUUExOD3r17Izw8nLXZBzJVjNVqRUVFBYqLi1FSUsLmFOvevTvS0tKQnp6OmJgYv5zifEHXLgAH4dyaG6DdbkdxcTHKy8vZtDJ8WXItRbD8MG2Vb6xVhcv27duxZMkS7N6922thpkDAbrdDrVazJ73WTtSm1+tx5swZXLp0CQKBAH379kVoaCiefPJJHD58GI899hjefffdgDnPtFotK1CqqqogkUjQq1cvZGVlsTENaWlpAdvk9Ho9a+aqra1t5jeRy+XQarU4dOgQdu/ejX379sFgMCAlJYUlBUyZMoW3gOdSgOm/KYRCISorK/HTTz8hLS0NY8eOhUqlgkqlYuunJyYmIj4+nnfhMKrdchlblF1EU4vQk2VUVBRbdpqapajPhmva4tbKoT98Nw1KH6ZFwuRyOWsbp5tfUlKSw9hQTY1LWOC7GavVaofyvoQ0VaBMSUlhC8WFhoay9F6+/hp/QQNyKe3YXebmQMG5iFdkZCRbp0ckEkGhULS6kAmWH6Yt8o21qnCZO3cu5HI5Nm7c2FqvYNHa/hUutFotTp8+jby8PEgkEvTv3x8DBw5khRktSvb8888jMjIS69evx8yZM/16l16vR35+PnJzc9mo4B49eiA7Oxs9evRgP3673Y5r166xcQT+wGKxsFmPa2pqWPZWVFQUa+qKiopiN0tnGrLZbMbhw4dZX01+fj4kEgnGjh3L+mqys7PZ1CPOwoRrg+cyuwQCASorK7Ft2zYkJSXhtttuYxeh3W5nEy6q1WqIxWLEx8cjOTmZFeqU8uscyU43aLlc3qyMrs1mY2urOB9UKH3ZaDSyGzCNfqemNXclqJ3zq9GcX2q1miURULMX9520VolSqWTn19l345xZwDlvms1mc/CdGAwGiMVih/K+NH6D0oq5dGSuv4b6owQCQbNiaf6A+u/kcrnLejyBFDTeinhRUyEVMm2Rv6yt/TBtkW+s1YTLpUuXcNddd+HDDz/EzTff3BqvYNFW/pX6+nrk5OTgypUrkMvlGDRoEPr16+f2w+MWJfvLX/6C999/3yttGGiyiV6+fBm5ubkoLS2FQCBA9+7dkZ2djczMTLfvoylX4uLieJ1IaLAcTfqo0WgANJkkaJ4umnzSFRoaGhASEuLW9n/16lW2hMCBAwdgNBqRnp6OadOmYerUqZgwYQJbE95T0auqqips27YN8fHxuP32290uPoPBwGbPpTnHFAoFG3RIKcbO/hHaP+qY5zKwaKJLV6AbIo2Up+lkuH93Rx6g/hsqoCIiIhATE+ORHUUFTFhYmMsDhKsiaxqNhk3DQzMkUO2Eq6G4Aq3H487xa7VaHYqlUX8Nl/LMZ6PkG4VPr21J+hlfini1df6ytvbDtHa+sVYTLi+//DKOHj2KX375pdVUvbbyr9TU1ODUqVMoKiqCUqlk837xXTibNm3Cs88+C6lUio8++ogtSsaF2Wx2SBBJCEFGRgaysrLQu3dv3ia+mpoalvbsKghRo9E45Omi8SZUmNAkk97giYZMNRKuZmI0GnH48GHs3bsXe/bsQWFhIaRSKcaPH8+We+7du3ezBaVSqbBlyxbExMTgzjvvdNDUXOXVotU1KePIbDZDoVAgJSUFPXv2RGxsrMvDh8FggFarZZNg+uKQp/ROm80GmUzmtkiWxWJh6eO0hHJoaChCQkLYMfSk5QB/1AyJiIhwSWmn5RC45X0FAgGbOj8xMZE1OzlrOM5Qq9UQCoW8zLqUhUWFjS/xNb5G4XPfyVfQtKSIFze1DBWegU4tQ9GWfpjWzjfWKsJFq9Vi3LhxePzxxzF//vxAPx5A2/hXKioqkJOTg9LSUkRERGDo0KHo3bu3XxNRWVmJBQsWYNu2bZg9ezY+/PBDxMTE4MqVK8jLy8PVq1dht9uRlpaGrKws9OnTxy8nNS2nKxKJkJKS4hBv4spvEhcX55dPyGq1snx5+l6uUAH+MG+5KnpVUFDAajUHDx6E2WxGjx49WF/NhAkTYDAYsGXLFoSGhmLixIlsuhZ3pXS5Ggk36SHN1KzVaiGRSNhI67CwMNbPQSPrw8PD/T4MmUwmh0h/On86nQ4ajYZNYEnNXlSI07gcroZjtVodxpEKGolEAoPBgOrqatYPRAUOZQza7XYolUqHAlq0T9zMAtwiawAczGgikYgVmP6wHbnxNWaz2SGZJjf5Jk2k6U8UPheeBE1DQwOb0aIlRbzaIn8Z0HZ+mNbON9YqwmXjxo147733Wi2PWGv7V65du4acnBxUVlYiJiYGQ4cORc+ePVv8ERHSVJTsiSeegMViwe23346BAwciOTmZDW5sqYpK4yMuXrzIlvz15Dfxpw9UE9Hr9Q7mN65pyxfHsl6vx8GDB7Fz507s3LkTJSUlkEqlSE1NRWZmJmbPno1u3bqxlF/ncrp8+8LN1Ez9SZGRkUhNTQ0IbRr4owBXTU0NWxaYJsd0lYHYE9yVoLbb7SgsLERBQQEbcyKRSJCcnMymWfHlwMAVNFxfEaWsJiQksALHX9jtdgcTGqV6m81mhIaGIjo6OiB+DW4MDc04rdVqER0dHTCyS2vkL3MFOt806Lc1YDAYYDabWyVcIuDCheYRGzBgAFasWBHIRwNoPf8KIQRFRUXIyclBTU0NEhISMHToUHTr1q3Fz7bb7SgpKUFubi4KCgrQ0NCAvXv34tixY7j55pvx2Wef+Z0Kxm63o66ujtVOqN+EEMKSDWitCX/gqugV0LTxMAzDcuV9nQer1dqMqUVP/fn5+di6dStKS0tRUlICm82GzMxM3HLLLZg+fTrGjx/vt6ZKzXnl5eWora1l05VwMzX7u0lwMxDT07pUKmUpyy3Rrqm/paysjA2cpQ7g7t27IysrizWjuKqV4wvoAcJgMECtVjuk4XFHFvAVVqsV9fX1bLls+mxf/TXuUFdXh9LSUgiFQqSmprLJGgNZi8Y5fxklNgTSxNTafpjWzDcWcOFC84h9++23GDp0aMCey/WvUJt4IMAwDAoKCpCTkwO1Wo2UlBQMHToUqampLW7vtWvXkJubi8uXL8NkMiEmJobVUKKjox2Kkr333nt45JFHeOU8on4TlUqF+vp6MAwDuVzuUBdeJpOhrKyMrcXC56Pk+khcFb3iaia04iMfByw9EHD9I3RB0oy9VBthGAZ79+6FQqHA7NmzYbPZsH//ftaEVlpaipCQEEyaNIn11fA5AFCnMc0cwGWF0ZQz3EzNSUlJvCKY6XPdZSCmviGz2ezS6e8OlAVHzV1arRZCoRDx8fGsuSsiIgINDQ2orq5GZGQkoqKimmk5gCNFmpvuxts3YbPZ0NDQwGq6fDIL8NVYaS650NBQNrecO38N33xg9LklJSXQ6XSIiYlBamoqRCKRzyUCfIG/+ct8eX5r+mFaK99YwIXL/PnzUVFRgW3btgVMyraGf8VutyMvLw+nT5+GTqdDRkYGhg0b5rLWCV8QQlBeXo68vDzk5+ezzrKsrCxkZ2e7TP+iVquxZMkSfPrpp5gwYQI+/fTTZkXJuPEmNTU1rLnLOU+XM6iJLDw8vNm7nanAnopeuZpH6r/g2mope4qrjeh0OvbZMpmsGVOLy8bS6XT44YcfIBKJMHv27GabOyEEFy9eZAujHTlyBDabDdnZ2ayvZuzYsQ6MHq5wI4RAqVSyDDVn6HQ6Nv2H1WpFeHg4G63tfIqmWZC1Wi3rY6FmL1eLn/qoaDlhV05/vV7PCpOqqirYbDaEhISwNOGkpCSXgqm+vh4qlYrNgMztOzfrABU4fCjS9P7a2lq2cqbzXPhSZI0Lb0kpGYZxKJbmzl/jPIfeinhx2879b6BiaCiRxGw2N0st01K0ph+mtfKNBVS4lJeXY/LkyfjHP/6Bu+++OyDPDLR/xWq1snm/DAYDMjMzMXToUF4UYXeorKxkgxt1Oh3CwsLYmih8k1Ryi5K99tpruOeee1iaMPUPREdHs8KEL8ODajmJiYlsqWG+TndPqKioYDcBKkyMRiP7TLqJcx3tnk7sjY2N2Lx5MwBg9uzZvDRTjUaDffv2Yffu3di5cycqKyuhVCoxefJkzJgxAxMnTkRERAS7SfPNwcUwDGpra9mUMzRTM015otVq2QzEERERiIiI4G1SoDXraTVN6gcqLy9nv3OudsK39gY1jVL6uCd4okhzyQNisRgajYYtduYN3IOKJ7IALTfN1//kyl/Dja8hpCmDMZ8iXs5oDUHjnL+MCsVA+Htayw/TGvnGAipcVqxYgW+//RaHDx8OCPsgkP4Vs9mM8+fP49y5c7BarWzeL38L59TU1CA3Nxd5eXlsKgUqUFJSUnz6OKnfpKSkBG+//Ta2bduG3r17Y+nSpbjxxhtZijDfj9OZClxWVgar1YrU1FQ23oOv051mCeZqI9SvoFAooFAomjG1QkNDfZorvV6PzZs3w263Y86cOX5RygkhOHfuHEsKOHbsGOx2O7KzszFz5kzceuutGD16tM8L0mQyobCwEIWFhWwa+m7duqFXr15+kVUMBgPKy8tx9epVFBcXw2azISIiAt27d0dqaiqSkpL8tn3X1taitrYW8fHxPjOiuPnVuD80FiIiIsKjluMOXDMaLUlMo/ApNdlXsgCNr6FVWWla/B49eiAmJsbvjTzQwZoAWCFDc9EFQsi0hh+mNfKNBUy4mM1mjB8/HrfddluL84gF0r9iNBpx9uxZXLhwAQzDIDs7G0OGDPHrmfX19axAoQFm3ASRfDdUSgGkZi5nv0lxcTFefPFFFBcX4+9//zuWLl3qcVN053SnAoTSk5VKJRITE90+h0v1pT+U8guADUCkm4Kv2XBdwWg0YvPmzbBYLJg9e3aL0lFQZz2tAX/ixAlWs6murkZ4eDhuvvlmtoyAp0wGzhmIqQ2dlht2lanZFWjiTVqNsaGhgdWEEhMTERUVBZlMxgaztdTkS+OXEhISWswAIoSgoaEBFosFoaGhrMDhmr9cCRx3mxOdH27aHOoXos/zVHeHC1rES6/XIzo6GlFRUazQAf5I3+Ov/yPQgoYrZGjNnZZoHoH2w7RGvrGACZcff/wRS5cuxZ49e1rEsAqUf6WxsRGnT59Gbm4uhEIh+vfvj0GDBvm8GWo0GlagqFQqSKVS9OrVC9nZ2S7rnbuDXq9n06rU1tZ69ZuYTCa89tpreO+99zBgwABs2LABQ4YM8cnpzl0IjY2NqKqqQkJCApRKJZs2nquRcB2pznRfro/AbDbDYDC0ePMymUzYsmULDAYD5syZ47cWSbUrrkOda8tnGAanT59mfTXHjh0DIQSDBw9mfTUjR46EQCCAVquFWq2G2Wx2m4HYbrezmZobGhogEokQHx+PpKQkREZGwmg0OpT3tVqtkMvlbL2TpKSkZs+jTn869i1h7lCiR2JiYotL2ur1epaMwm2vK4o0hSu2mkAgQGNjIwA000xdZRYAXOdNA+CxiBf1e/jqr/GEQAqaQKeWsVqtAfPDBDrfWMCEy9133w2lUokNGzb4/YxA+Fc0Gg1ycnJw+fJlSCQSDBw4EAMGDPApbUNjYyNbE6WyshJisRiZmZnIzs5G9+7debXLbDY7OOGNRqPPfhNCCE6ePImHHnoIly5dwnPPPYcXX3yR5dR7c7oDf1B+GxsbUVRUxOaLotcrFIpmvhFvnH2j0QiLxdKij9BsNmPr1q3Q6XSYPXu2X4Ftvjjruairq8PevXuxa9cu7N69m3VajxkzBuPGjcP06dORmZmJ0NBQr88ymUyoqKhgs1NTVldERAQrTFJSUhAdHe31WVynP42N8deEQssvJCUltWieTCYTdDodYmNjPbafOpydf+j2Qp3ckZGRLM3YXd/ckQUMBgPKyspgsVjYKpfeNlRP/hpu8k2+CJSgobnrAiFkAuWHCXS+sYAIl4sXL2LWrFn46KOPMHnyZL+e0VL/Sl1dHXJyclBYWAiFQoHBgwejb9++vAfJYDAgPz8feXl5bIR7jx49kJWVhZ49e3qdeHfxJpSpRR2tnjYL55QpdGqsVitWrFiBt956Cz179sSGDRswatQoh3tp8J4zU4tbSjckJIQt7pWZmekydQsf0BOov+ZKi8WCrVu3QqPRYNasWX75LmhffXXWc9ugVqvR0NCAs2fP4rfffsPhw4dx5swZEEIwbNgwzJw5EzNmzMCNN97Y7NlUqFDthG5clOobGRnJUpp9rX1CzZO0IJivPiyKqqoqqNVqhySevsJqtbKxLv58KzSqnSYVpUW5gD8o0lx6tCuKNMMwKC8vR2VlJVs8jXtYpJoNHyo0NZ1xq1JyU7r44hPxJf2MO7jKX+ZPpulA+WE0Gg2r/bcUAREuL730En777Te/8oi11L9SXV2NnJwcFBcXIywsDEOGDEFWVhavdphMJly+fBl5eXkoKSmBQCBAt27dkJWVhV69ennUdjz5Tbh5utyZ9Vzl36JwZm/RD4VblOzxxx/HM888w2bVpZsRAJbqytVGKOWXOkFjY2P9NplotVqIxWK/0tNYrVZs27YN9fX1uOuuuxAfH+/T/RaLhWVryeVytr4JH/DJQKxSqbBnzx7s2rULe/bsQUNDA2JiYjBt2jSMGTMGWVlZMBqNqKurAwDExMSw2gkNwHSVqZmmnOG7ydPYCb1eD0IIm07G102jsrISGo0GKSkpfm0YDMOgrq7OJR2ZD2gcEDcppSvygDuKtMlkQnl5Oex2e7MiXs5kAa6v0VnguAOX8twSf01LBU0g8pdRPwwNoPbnQBLIfGMtFi4ajQbjxo3DggUL8Pjjj/t0b0v8K+Xl5Th16hTKy8sRGRmJoUOHolevXl4HxGKxoKCgAHl5eSgqKgLDMA4JIj35ZBobGx3ydHH9JlSguBOOznVK+FKBqVmC/qjVanz99dfYtGkTYmJi8OKLL2LixIkOsSPetKza2lpoNBqkpaX5pYrTfES++sNsNhu2b98OlUqFu+66y6eYIpo232g0QiKR+LTZ6fV6aDQaB/NZRESEVxOaXq/Hrl27sGPHDhw+fBhFRUUAgL59+2LKlCmYM2cORo8e7fGbMxgMbJAmTXWSlJSExMREXmNPCGHT+wsETaWTffUbVlRUQKfTISUlxS9ts7a21iFXmi/wJSklV9iYzWaUlZWhpqYGISEhSEtLcyjK5krLIZy8aZ7IAu5IB4Hy17RE0DinlvEnf1lL/DD00CyTyVpcgK/FwmXDhg1YuXIlDh065FOsiL/+leLiYuTk5KC6uhqxsbEYOnQoevTo4VUVvnr1KnJzc3H16lXYbDakpKQgOzsbvXv3drvgXPlNhEIhm6crPj7eJXXP2bTlrJV4crprNBoHxhYt0CSRSBwESHV1NZ5++mkcPnwYjz76KN59913etnVCCJvKPzU11acPl6Zx5xtpTmG32/HTTz+hsrISd955J+/4HxpwR5M+Ojvr3YGac7RaLevDoDEpnr61uro6NpCRpqiPjo5GcnIyxGIxTpw4gT179mDv3r3QaDSIi4vD9OnTMWPGDEybNs0tyYEyryorK1FTUwNCCGJiYtiUM942XrvdzjrXfXX6E0JQUVGBxsZGpKam+hzL0NDQwOZ18wVWq9WvpJTcIl6UUedMIqBwNqs5m4SciQLuyAKuNmHqr6ECx1d/TUuyAlAhQ0k2VLDxxpA+5gAAmbZJREFU1SZa4oeh+cZaSkv2S7iUlZWx/y4vL4dUKkVcXByqqqpYqqtzrAf3FEEIQX19PWuWoAPmyl5Ky54CTaf4EydOIDw8HOnp6YiKigLDMIiIiGh2H/V5AE0U4nPnziEsLIzVMGQymcv7DAYD+++qqiqUlJQgJCQE4eHhCAkJQXR0tMsTL3cYad4nV0535/vq6urYzbKgoABarZbNUhoSEgKFQsHSVbkoLi5m30sIcXi2VqtFbW0tJk6c2Ex40dOMxWJBVVUVYmJiHDYbVzZvag8G/mA2OZ9EXc3dtWvXWNNbRUUFCgsLMWDAAAdznKtAOrPZzC52qq0olUooFAr2WlenT26eqsrKSphMJlYYUy3LVf+oDwkATp48ydKMo6KiEBUVBalU2sy5v2/fPvTs2dPhlOo8BhkZGS7nWyaToaGhgc2t1bt3b4c5cEWooOuHZkGw2+3NEpC6mgODwcAeciitOD093eEaVzZ67np1Tg9CTVCufAPU7k/HVSQSNTsMOLdTo9E4FCQrLCxkq27SjZH7LkoesFgszcxqERERDpup87vovfR6OjbcbwtwLQT0ej37XrrpO2vfrr5L7jfC/Vac4WoOuFH/rjIauOofBfXDuNJgvK1xnU6H0NBQj2PpDX4JF+5JnJ4GVq5ciezsbGg0Gtx///3NJsf5NTTpHrdzrj5y5/sMBgM7wIQQ/PbbbxgzZozH+6izmzsxe/bswbRp0zzeR9kuEokEGo0G1dXVYBgGWVlZXt/HfQZ3glxtwPQUZLFYEB0dzevD484B18T2zjvvICYmBlFRUfjTn/7kcB81UVD7Nx1zb+8yGAwOphgqzLzdR8s/Z2VlsWwfV6dm5/uMRiPsdjtCQ0ObRU57uk+n07FjSFk4fO7jzpfRaGy2uV++fLlZrZlPPvkESUlJbIVRV+10tUHRtC4pKSkAmg5MrsyL3taB8/pxdx+t5yIQCGAwGBAeHu7ytM3ne6Z0YnrQcbVeuaUC6AHLlfnSWbjo9XpWm7VYLD63EWhaE9wxN5vNLk1Kzvc5f8/u9iKdTgeFQuFQRZTPHPDdYvnOAf1/s9nc7Fv11jebzebygEU1YtofhmF47UMeQQKAS5cukeLiYkIIIXq9nrz++uuEYRifnlFVVeXzPXv37iU2m83n+06dOkX0ej3v+xiGIaWlpYRhGGK1WnnfZzabCcMw7PXu7jMYDKShoYE0NDSQwsJCl+/ng7q6OnL48GGv7zMajUStVrv8m6t7GIYhRqPR47vdvauuro7897//dft3d7+32+1ErVb7fJ/NZvP4Lfn6rTAMQ44ePeryvl9++YWsWbOG1NTUuB03VzAYDOTKlSsBayMhhNTX13u9j2EYUlFR4ff77HY7sVgsvO+j335jY6PDta7us9ls5Nq1ax6f5Sv4jImr97hb4wzDEI1GQ2w2m8/tZBiG2O32gMy5zWYjBoPBYW/hA29tMJlMDvPbkjYS0qSutRiLFy92+P+KigqfG0I3Yr64evUq0ev1hBDfOt3Y2Ejy8vJ8uu/y5csO/8/nPu4kms1m3vdVVlY2+x3fdo4ZM4b3fQaDgR0/PvcYjUaPz/P0N5PJRA4ePOjTBkz/ptPpfH6f3W4nNTU1Pt/nCqdPn/a4iFUqFdmwYQNZs2YNKSgo4P0uk8lEioqKAtJG2g4+9zEMQ2pra/16n/OBxJfDGfdw4kno0rXi6hm+gK4/Xzdfk8nk8X0Mw5CGhga/hATd3H29jwubzeawFn2ZA6vV6vUeTwLG1zloce7mDRs24N1333X4HV9nLYXJZPI5kEmn0/nMZiCEYP/+/ejTp49P91VVVfF6Ni3kRJ2IVIX0xaGWmJiI8vJyn9oHAKWlpdixYwfv6xUKBRvYxgcymYylagJ/2K753jtq1CgcPXqUd/sA985Pb20WCoVQKBQOfgN/YLVavdZ3iYuLw7x58/D4449j9+7dOHz4MK9ny2QyREdHO/gG+YC4MbHwDUIVCJoSU/KddwqaJdof0He6azuFQqFgGXktAd0ffHVGU+KHJwgEAkRERECtVvM2d3HvFQgEPt9HYbfb2azavlKUqZnYG2QyGUsVbylaJFxoOdWWMAropuwLDh48iIEDB/r8ruPHj+OWW27x6R673Y4xY8bwuo5LJeYyknz9oLiECb645557fI5biYqKgkql4tU2ujCoj40GZ/KdO6lUigEDBiA/P9+nNoaGhjqQLACwLC5v91VUVPj0LgryP+f3+fPneRdxk0gkeOKJJ6BSqZq11x3Cw8NRX1/PeyHTcXcec0KIT5TTiIgInw8wNDO3vxCLxbzGpVevXg6HGH+g1+t9FoTufBGuQBmuGo3GLwFDnKjKfECd875WvKSChW/fALDlp1sqYFokXJ555hm/Uusz/6vgRrOu+kKNtNls6NGjh8/vNJvNfkX+Hz16lNc91HnMjVvhwpeJuuGGG3w6Wf7+++/4+eefeV/PRXx8PBoaGnhdK5PJYLFY2I+cBrnxXSiUnadWq31qIxVkFHxp68nJybw3eqBpIapUKuTm5qKxsRFDhgzxqZ1AU7kAX7JUdOvWDVeuXPE6huR/hAi5XO7AbgMcGZV8kZyczJZI8IaWaC1c8BGAQqGwRdoLDa71ZQPmMjv5QiAQIDw8HFqt1m8Bwxd0v/Q1iJUe3H0RLBRyubzFAsZv4XLx4kUsXbrU5/toTh2RSAS73e4Td56atTIyMnx6JyEEe/bsQVZWlk/trKiowLBhw3hd723yfBEWIpEI58+f53Wt2WzGN99843cdBmpC4rsJOweShYSE+HTS7N27Ny5duuTTpk8rLALwqd63SCRiabTeQAhBbm4u7HY7m+Xa35P6pk2beI+JQCBAnz59kJ+f77GdlBpKNzVKhQXg10lfJBLxMu0w/6vZ0xKthUImk/HSdHv37s1LO+WC/I9WTKm3fO+hjFB/kj7SuCtfBYwv5jHyv0wN/mgslM3m79xRAeOvedkv4WKxWLBlyxaf6r4TQlh+eEhICFvC1Nuk0g+gvr4eJ0+exMSJE3m9jxvA+Ouvv7KUUT7tLCkpYcvpBqp4jq8fb79+/VBRUeH2AySkqUDS888/j1WrVrWobQqFguXve4PzhyoQCHjdx8WoUaPYYm18IBAIWBOEr+aZ+Ph4VFdXO6QHcQbDMDh79iwyMjKQlJTU4rQXvXv3xpQpU3hfLxAI0LNnTxQVFbFR4c7gxgNRWjH9xv1J+gk0+ffcbeJ0UzObzS2O1KagVGZvoIF/tNyDOw2L7g0mkwlGo5F3W+m+YLPZ2LIB/oIKGI1G49MBkksp9rTGjUZjsxgcT+D6flsiWChoiIQ/AsavOJeXXnoJL7/8sseGOw+IXq+HSCTyqto5P/P06dMQCJpqnqekpLjcpF2pfceOHYNEIoHRaET//v1dfnSuuOznzp1Djx49PKY2cRcoxQeegtWIEyedVntMT09vdt/y5cshEonw4IMPul0czrmovH38DQ0NLrP38jHZuHK+u9so6T2nTp1iU91z4a6der2eFfau3ufuPhoUBjRpQc73nThxAv369YNUKnUbw+M853q93m3fgKbvyFXfPC1ShmFw7do1lxknnOeAbv6EEIdvm++YUOh0OoSHh7uM6QgJCfEqaH39Vmj8BPc+d2NSVVXFJnN0FS1Og4JpPRN3+5Hz72n+Lm8HPl/GkpCmND2ugoI9jQn3e3O+j2Y38AbnOBY+wY6+zpuvQg7wU7hUV1ezG5pKpYJEImlmqnDepLjsKUIIW8mQK2xcbRiNjY3sB242m3Hp0iX06tXLIWWLq07TaFrKjKHBl9zF4ioRIE3xAjRF9ldVVSErK8vhPleRydxh5AZfOsPVh05RUlICsVjMBtgBTR+0K3bItWvXWAHoHDxGERcX1+zDo6DJFWNiYhwYMq4EJ3dR2e12NhiSOyau3s/VTNzNgau54242BoMBFoulGVnBm1+rrq4OAoHA4VRPCHF5EKEHH0IILl26hOjo6GaMR+c5UKlUzdrs3Cbn8Qcc59toNKK4uLhZ1m1Xhx7uHFgsFuj1ekRFRTXbnDyNCTUbOSc1dDXn3PVKNQhnLd6bgDcYDBCLxc0YWM73cQ8hzP8K28XExDiscVfzxm0jLUTmnOnbXRu597nz03j7Lk0mUzOt0dV36e/B03ksXR3Onfvn/C6r1eoyeaendzH/q49ELUzu3uUNfun/CQkJiImJQUxMDPbv349bbrkFJ0+eZH/nir7JLfhD/63X61lHmjtpq1Qq2aR5ERERyM3NZU1WnjLFhoaGIiIigmUbbdq0id0U6Y+r+6jAk8lkqKqqQkNDg8Pv3NEAuQNPP3pXP86QSqWQSqWorKxEcXExm6+I/riztaanp7OpbF566SWkp6fjypUriI+PZ3+c7+Mm/JPJZCwrylO6c8AxHxpNmU5PoJ7mjjtHBoMB3333HStgPM2dSCRif6i9n/s7d+o+7QPDMM365SrvFEVoaCjkcjnOnz+P3NxcKBQKNjEn/XG+jzvO0dHR+Otf/4q+fftCo9G4HX/ufNN6LTqdDteuXXP4PZ854Jo+PM0Bt/9042b+l9TQ05xzn0vngNsGd++jf6NmJ+fKkq7uk0gkbH6wsrIy6PV6KBQK9vfu5o37bNoPqqF6ayNdj/RQYbPZvK5V7vcnFosdsih7+i6dn8vV9D29j9sH2j5vY8l9HjWbcvvL5130UEg1Qk9j6QktjnNZsGABbrnlFixduhQXL17kfZ9SqWRravOFUChEamoqSktL/Wmqz1CpVD6nhKcnRV/suDU1Nbh8+TK6devmc4yQQCDAunXrMGLECNx5550oKSnhfW9sbCyMRqNXEw8XdHPzZPIKFKifzleWjDtt2hMuX76M/Px8DB8+3GMpaFcQi8X47rvvEB8fj9tvv503G47WDKqqqmI3RT6gmoevvi5/QIWYr9mzjUYjK9D5oqKiAhqNBt26dfM547ZA0BR/Qq0ivmgLEonEIW0NH9Bv0pnJ2BrwZAnxBFfatDfo9Xo2xKSlvscWCxeBQIC33noLvXr1wvz585uZC9xBLBZDoVBAr9f75AhLS0tDVVVVqy8sWmjLF+HiD/WvsbER58+fR1xcHDIzM/1qq0wmw+bNmxEaGorbbruN90ZFtYfa2lqfFhZdjK0Ns9kMQohPwsVgMKCxsdGlScodKisrcfz4cbbsgj+Iiopiywncc889vCmcSUlJCA0NxZUrV3x6n1QqbRPhQt/hy8ZGHcC+CIi6ujpUV1cjNTXV78qZIpEIERERbHkGvqCakS/jKRQKIZVK20y48PEROd9DzcB8QSvMhoaGtojkQNFi4QI0MQo++ugjAE2aDN8BVyqVrCOML9LS0kAI8SvQ0BdUV1dDKBT6VEaAqq58J8ZiseDMmTMICQnBgAEDfFY7uYiLi8NPP/2E4uJi3H///bwFdmxsLKxWq0+xEhKJxK/gV19BsyP78qGrVCooFArecRlarRa//vorkpKScMMNN/jbVABNAYDff/89Dhw4gEWLFvG6RyAQIDMzEw0NDT7Rb6VSKVu3ozVhsVh8qmxIiQbUzMUHjY2NuHbtGmJiYny2FDiDlqYwmUw+sRElEglsNptP4ymXy1sc8MkHvtCrAf9oyBaLhXXa+1tu2RkBES5Akw163bp1KCgowIsvvsjrJCwUClmfCN+NKjw8HJGRka1uGlOpVIiNjeV9WqApX/h+BJT+arfbMXjwYL949s7o378/vvvuO+zYsQMvvfQSr3ukUikbKc53YVHNrLW1F5r1lS9oRVO+G5TFYsGBAwegUCgwbty4Fgl3ikmTJuGDDz7Ahx9+iHXr1vG6JyYmBtHR0byCKSnoBtDa2guflChc0JRCfAuaWSwWXL16FaGhoc1KAfgLuVzOlvTmu/n7Y2qUy+VsHFBrge4rvtZO8uWQa7PZ2HIVvhai84SACRegKTbj3Xffxc6dO1lNxhsoe4gP/50iLS2tVYWL3W5HXV2dT6coX1XX3NxcaLVaDB482Gf7sifMnDkT7733HpYtW4ZNmzbxuic6Opp17vOFWCxuVeFCi0PxNYkRQlBTU4OwsDBeC4TGP5nNZkycODFgpzUAeOyxx/Dkk0/iqaeewi+//MLrnszMTBgMBt4pa6gTuzU3NuqH4Ds23EhyPvZ6WruF+p4CIdwplEolZDIZtFotbxOlVCplfUx8rxcKha1qGuMWC+QDrtbCB5QZJhKJAhbTRxFQ4QIA06ZNw9NPP401a9Zg9+7dXq8XCASsGst3s0pLS2NL/rYG6urqwDAMb+FCk1XyPSmUlJSgoqICffv29du+7AnPPvssHnroITz66KO8kkWKxWJERkZCrVbzngNqRvA3CZ830AXLd2OjObri4uJ4XX/y5ElUVVXhpptu8qu2vDesWLECkydPxt13343Lly97vV6pVCIpKYmtlMoHre13ofEgfL9rOmd8DkuEEBQXF8NisaBnz54BsfE7Izw8HCKRiHeAI5ehyBcymaxVhQs1ifEVvNQ0z0e4EELYQ31Lc0S6QsCFCwDMnz8ft956K55//nlcuHDB6/U0TxVfJ1xycjKEQmGraS/Ubs930+FSLr2BMsO6d+/uMzOMLwQCAT766COMHDkSd911F1u10hMiIyMhEolQV1fH6x30JBWI7KmuYDab2ZOhN1BNk1aN9Ib8/Hzk5+djxIgRPjPD+MKZQcZHK+zRowfsdjtvxp9UKg1YBltXcFe0yxU8xYu4AmWGde/ePaCaOxf+MMh8HVMawd5avi9f/C00RIDv9ZQZ5lxVNlBoFeEiEAjw5ptvonfv3pg/fz6qq6u93hMWFgar1crrFCCRSJCUlIRr164FornNUF1dzVtr8YWVQZlh8fHx6NmzZ0ub6RFSqRSbN2+GUqnkxSATCoWIjo5GY2Mjrzmg3PfWMI2R/1XZ42sSq6mpgUAg4EW+qKysxIkTJ5CVlYVevXq1tKkeERkZiZ9++gk1NTW45557vI6VTCZDeno6SktLea8DX1lOfEE3WL7mGJPJBKFQyGvOuMywQCTE9ARfGWRccyMfYUQFY2s49n2lIFPTPB9BwWWGBcLf6wqtIlyAPxhkQqEQCxYs8BrPIpVKIZPJ0NjYyGtS09PTUVFREXDGktFoRGNjIy/hwq2T4O20ZrFYcPr0aYSEhKB///4BV0FdITY2Fjt27MC1a9dw7733eh0rWgKXL2uptSjJ1NbP50RrsVigVqsRExPjdZEEkhnGF5mZmfjhhx9w8OBBXgyyjIwMiMViXL161eu1lOXUGsKFPpOP5mKz2WC1Wnn5uigzLDY2tsXMML7wlUFG0wDx+bZFIhEkEkmrmMZ8YZ/S3Hl8rm0NZpgrtJpwAZrosevWrUNhYSEvBpkvgZVpaWmw2WyorKwMVHMBNJnEBAIBL9s934BJygxjGCZgzDC+6Nu3L7777jvs3LkTL774otfrY2NjYTKZeBEsJBIJq4oHEvQUzOfExjdg0mw2Y//+/VAoFLjpppvaRLhTTJw4ER9++CHWrl3rlejia2ClTCbzOQCQDywWCxuh7Q18Aya5zDBfkt4GAr4wyHwNrGwtv4svJjG+AZOtxQxzhVYVLkDT5vbuu+9i165dWLt2rcdraWBlY2Oj1w0rJiYGISEhAfe7qFQqREVFeV0ovgRMXrp0qVWYYXwxY8YMrFixAu+99x42btzo8VoaWFlXV+d1YdEPP9DaC1+TGA2YdJdqhYIywywWCyZOnOhzpHMg8Oijj+Lpp5/G008/jX379nm8lgZWFhQUeH2uL6dsX8CXgkwDJr1tVK3JDOMLXxhkvpgc5XI5WyUyUKBWET7fKl/TfGsyw1yh1YULAEydOhXPPPMMPvjgA+zcudPjtTRZHZ/AykBTkimdlY+6brVaeamsxcXFqKysRL9+/VqFGcYXTz/9NB5++GE8+uijOHLkiMdraWCltxK8tP+BXFQ0uSIf4cKXeHHixAlUV1dj/PjxrcIM44v33nsPU6ZMwd133+2xIicNrFSr1V5NlJThFEibPw0m9CZcaMCkVCr1qI23BTOML/gyyAQCAaRSKa/ASppvMJDaC11TfA+53kzzrc0Mc4U2ES4A8Pjjj+O2227DCy+84LEQli+BlWlpaairq/Mpwt8TGhoaYLVavQoXvqyMmpoaFBQUoHv37q3GSuILgUCAtWvXYvTo0bjrrrs8VvujgZUNDQ1eFxalJAcKdJP0Jlw0Gg2vgMn8/HxcvnwZI0eOREJCQsDa6Q8ogywpKQm333476uvr3V7rS2BloCnJNFGlt42NBkx608bbghnGF74wyKhZ0NvYCgQCyGSygAt4PgxUvgGTrc0Mc4U2Ey6UQZaVleWVQRYSEgKRSOTV7k/ttoHSXqj93lstej4Bk23JDOMLyiALDw/H7bff7jHlS0xMDAghHjdA4I9UMIESMDR1iKexZRiGV8BkRUUFTpw4gezsbL/ztgUaERER2L59O+rq6rwyyGhgpbd6974G/3kDHwoy34DJtmSG8YUvDDK+Y0tTwQTK98XH38I3YLItmGGu0GbCBWg6jX700UcQi8WYP3++W8e9QCCAUqn0Glgpl8sRHx8fUOHizX7PJ2AyGMwwvoiJicFPP/3klUEmEokQGRkJjUbjcQ6oOh4o0xgff0tDQwPsdrtHrUWj0eDXX39FcnIy71LVbYWePXvihx9+wKFDh/DMM8+4vY4GVhYVFXkU3oFMBUP9N960Fj4Bk8FghvEFXwYZ38BKWsIiENoL3WO8zQGfgMm2Yoa5QpsKF6DJnr9u3TpcvXoVzz//vFuzi1wuh0Qi8XqyoH6Xlp4YLBYLGhoavC4Cb+pqMJlhfNG3b1/861//wq5du/DCCy+4vY5vYGWgKMk0EaMn4WKz2diASXeLz2w248CBAwgJCQlYzrBAY8KECfjoo4+wbt06j0SXHj16gGEYj4GVgaQk86Eg8wmYNJvNuHr1KpRKZZszw/hCLpcjNDTUK4OMT2Al1bYD4Xfhw0LlY5pvS2aYK7S5cAGA7OxsvPfee9izZw8+/PBDt9cplUqvgZVpaWkwm82oqalpUZvo/Z4oyHxYGcFmhvHF9OnTsXLlSixfvhyff/65y2v4BlZKJBL2tNUSmM1m1pHqDrW1tR4DJrnMsEmTJgWFGcYXDz/8MJ555hk888wz+Pnnn11ewzewMlB+F1q50NOhiFZrdXcI4DLDunfv3i6FO0VoaKhXBhnfwMpAZUmmmqOncfMWMNnWzDBXCIpwAYCbb74ZixYtwtq1a/Gf//zH5TV8AisTEhIglUpbHK2vUqk82vD5BEy2F2YYXzz11FN49NFH8dhjj+Hw4cMurwkPD4dMJvPIWgpUKhhqEvN0GvYWMHnixAmoVCqMHz/eoUxue8W7776LqVOn4u6770ZeXp7La9LT0yEWi1FYWOj2OYGiJHvzt9hsNthsNo/rpLi4GFarNejMML7gwyDjM75yuRxWq7VFvi+6z3gaN28Bk8FghrlC0IQL0MT9v/322/Hiiy/i3LlzLq/xFlgpFAqRkpLSYr+Lt6qT3lRVlUqFgoIC9OjRI+jMML4QCAT48MMPMWbMGNx1111uo8K9BVZSu29LNjY+VSdramo8Bkzm5eXh8uXLGDFiRNCZYXwhFovxzTffIDk52S2DjMaGVFdXuyVhBKI6JZ+qk94CJsvLy9sNM4wv+DDI+ARWBqI6JZ+UL96ox8FghrlCUIWLQCDAG2+8gezsbMyfPx9VVVXNrhGLxWxkrbtTRXp6Oqqrq/1WSWkdEHcbkreASZ1OhwsXLiA+Ph49evTwqw3BgkQiwQ8//IDIyEjcdtttLjcvhULhNbCypX4Xb1Un9Xq9x4DJiooKnDx5En379m03zDC+oAyyhoYG3H333S7HkU/FSqlU2iKzjLeqk94CJuvq6qBSqZCWltZumGF8wYdB5i2wMhDVKb0xUanwcff3YDHDXCGowgVokvZr166FRCJxm4OM2gzdxbPQ6pTeKJvuoFKpIBKJ3NrxPQVM0mqSoaGh7Y4ZxhcxMTHYsWMHysvL8ec//9mlWu8tsLKl1Sm9VZ30FDDJZYYNHTrUr/cHGz179sTmzZtx+PBhPPXUU82EuEAgQK9evaBWq936F/kG/bmDp6qT3gImucwwvmUP2hu8Mcj4BFa21O/iiYLsLWCSMsNCQkLanBnmCkEXLkDTxvXxxx+7ZZB5C6wMCwtrUXVKlUqFmJgYlyqkJ1YGwzA4c+YMCCEYNGhQ0E8KLUFWVhb+/e9/Y/fu3Vi6dGmzv0ulUkRERKC+vt7lHLS0OqWnqpMajQZms9ml2ZIyw0JDQ9stM4wvbrrpJnz00UdYv369S6JLdHQ0oqOjUVhY6HJzawklmfoT3G1KngImOwIzjC+8Mci8BVa2pDqlt6qTngImbTYbGhsbIZPJ2o05sl0IF6Bpc1u+fDn27t2LDz74oNnfaWClO5U1LS3NL6e+t6qTntTUS5cuQafTYdCgQe1mQluCqVOnYtWqVVi5ciU+++yzZn+Pjo4GALe1SfxNBUOdxK5MYp4CJhmGwaFDh4KaMyzQeOihh7Bo0SI8++yz2Lt3b7O/Z2Zmwmg0uqxY2ZLqlJ6qTnoKmOxIzDC+8MYg8xRY2ZLqlJ5SvngKmKTMMLFYHDRmmCu0G+ECAFOmTMGiRYvw0UcfYceOHQ5/o4GVZrPZ5QaWnp6OxsZGn0r1Ak3UVndVJz0FTBYVFXUoZhhfPPHEE3jssccwf/58/Prrrw5/E4lEiIqKchtY6W91Sk8pXzwFTB4/fhw1NTWYMGFCh2CG8cWyZcswffp03HPPPc0YZN4CK/2lJFutVrdVJ90FTBJCUFRU1KGYYXzhiUHmLbDS3yzJlCXmSkC7C5gkhLAH7va2BtqVcAGARx55BHfccQdefPFFnD171uFvngIrk5KSIBKJfDaNebLluwuYVKlUuHLlSodihvGFQCDABx98gHHjxmHWrFnNGGSeAiv9pSTTqpPOi8pTwGReXh4KCgowYsSIdhf93VKIRCJ88803SElJwW233dZsrGlgpasKo/5Wp3RHQfYUMFleXg6dTtehmGF8IRAIEBkZ6ZZBRsfZ1SHL3+qU7vwtnkzzer0eDMMEnRnmCu2rNWia1Ndffx39+vXDggULmtVrcRdYSatT+iNcXG1O7gImKTMsISGhwzHD+EIikeD7779HVFQUbrvtNgcnPg1gdBVY6U91Spoyw9Xm5C5gsiMzw/giPDwc27dvh1qtxp/+9CeHU7JUKkV6ejrKyspcrgNfq1NSYeRKuLgLmKytrYVKpWpXOcMCDaFQ6JZBRrU8V9Rk+i37or14oiC7C5hsT8wwV2h3wgVoUis//PBDSKXSZjnIPAVWpqWloaKigvepjVsPhAtuIBP3tMZlhvXr169T2JfdITo6Gj/99JNLBllYWJjbwEpfKcl0cTpvXjRgMjY21mHhdAZmGF/06NEDmzdvxtGjR5sxyNwFVvqTCsYdBdlqtboMmNTpdCgtLUVcXFyHZYbxhScGmbvASlqd0hfWmLuqk+4CJtsbM8wV2qVwAf5gkBUXF2Pp0qUOKiYNrHSebF+rU7qrOunKvsllhrXXnGGBRlZWFr7//nvs3bsXS5Yscfibu8BKWp2SLyXZXdVJlUoFqVTqkKGaVpPsDMwwvrjpppuwbt06/POf/3QguohEIvTs2dNlYKVMJuNdAx5wX3XSZDI1C5g0m80oKiqCUqlEampqC3rWceCOQeYpsFIul/ukubhLFuqKetwemWGu0G6FCwD06dMHK1euxM8//4w1a9awv6eBldTeSBETE4PQ0FDepjFXVSfdcckvXrwInU6HwYMH8ypk1Vlw8803Y9WqVXj//ffx6aefsr9XKBQIDQ1tFlhJT1h8tUdXWZD1ej30ej3i4uLYOaDMMKvV2mmYYXzx4IMP4rnnnsOiRYuwe/du9veJiYlQKpXNAit9pSS7oiC7CphsD9UkgwV3DDJ3ZkiZTMa7OqW7lC+uAibbKzPMFdq1cAGASZMmYfHixVi3bh1++ukn9vfuAiv5VqekFFdnk5irgMmioiJUVVWhf//+nda+7AkLFy7E/PnzMX/+fBw8eJD9fUxMTLPASl+qU1KHqPPpyxXJorMyw/jinXfewYwZMzB37lzk5uYCcKxYyQ2s5JsmHnBdddJVwKQzM+x60Nyd4YpB5i6w0pfqlK4oyK4Oue2ZGeYK7V64AE3c/zvvvBMvvfQSzpw5A8B9YGVaWhrq6+u9FhpraGiAzWZzEC6uWBlcZlhHyVcVaAgEAqxevRrjx4/H7NmzWTu/u8BKvtUpXVGQXQVM5ubmoqCgACNHjux0zDC+EIlE+Prrr5GWlubAIIuOjkZMTAyuXLnisLnxpSS7qjrpKmCSMsN69OjRrk0xrQl3DDJXgZW0OiUf4eKKleoqYLI9M8Ncof23EH8wyPr374+FCxeyAWSuAiupHbisrMzjM13Z9J0DJq8HZhhfSCQS/Pvf/0ZMTIwDg8xVYCXf6pS06iRdKFSbDA8PZ80x5eXlOHXqFPr169duKnoGC5RBptVqMWfOHHYzy8zMhMlkckh/xLeCojMFmQZMyuVydl64zDBXlP3rCe4YZK7Gm1KSvfm+nCnIrgImKTNMqVR2GK2xQwgXoGnyuAwyg8HgEFhJFxqtTuktWl+lUjnY9J0DJs1m83XDDOMLyiCrrKzEPffcw564nAMr6SnMm2nM2d9CNSBKsFCr1Th8+DBSUlIwZMiQ1utYB0L37t2xZcsW/Pbbb3jyySdBCEFoaCiSkpJQXFzMCnQ+fhdXVSfpSZvOy/XEDOMLiUSC8PBwmEwm1izvyhTJpzqlq6qTzoQiLjOsI/kaO4xwAZps/OvXr8e1a9ewZMkSVnWXSCQOZrC0tDSUlZW5PTFYLBao1WoHEwtXNaXVJK8nZhhf9OnTB99//z327duHxYsXA3AdWOnN7+JcddJms6G+vp4lWHBzho0dO7ZLuHMwduxYrF+/Hp988glWr14NoHlgJR9KsnPVSeeASW7OsOuFGcYXMpkMoaGh0Ov1rPBwDqzkU52SXksPtc6m+Y7CDHOFDiVcAKB3795YsWIFfvnlF3ZhOQdWpqenw2w2Q6VSuXwG/T0VLs4Bk9crM4wvpkyZgjVr1mD16tX45z//6TKw0lt1Sueqk9yAScoMs9ls1x0zjC/++te/YsmSJVi8eDF27doFqVSKjIwMlJWVsXFh1O/i6ZDFrTrJDZikzDCxWHzdMcP4wplB5iqw0hsl2WazOWSi5gZMdiRmmCt0OOEC/MEg+/jjj7F9+/ZmgZXx8fGQSqVuWWMqlQrh4eGQy+XNAiavXr16XTPD+GLBggVYsGABFi5ciAMHDjQLrPSWCsZkMrGMGueAyd9//x01NTUdpppksPDWW29h5syZ+POf/4xLly4hLS0NEomETdlDzTLu5oBLQeYGTHKZYZmZmV2auwdQBplarWZZd9zASrlcDpvN5tL35UxB5gZMcplhHdXP1SGFC9DEIJs1axZefvllnD59GmFhYWxgpVAoRGpqqlu/CzflC9e+qVKpUFhYiJ49e163zDBfsGrVKkyYMAFz5szBlStXHAIrPVWndK46ySVX5Obm4sqVK9c1M4wvKIMsPT0dt99+OxoaGhwqVlIWkyubv3PVSW7AJJcZ1qW5ewZlkAFgSS7cwEpP1SmdU75wqcdcZlhH1Ro7rHARCAR47bXXMGDAACxcuBDV1dUOgZVpaWlQqVTNFhaX6splZeh0Opw/fx6JiYnXPTOMLyiDLDY2FrfddhvMZrNDYKW7VDBcCjI3YLKioqKLGeYjwsLCsH37duh0OsyZMwfR0dFQKpUoKCgA4J6SzE35wg2Y7GKG+Q6hUIjIyEiWQcYNrPRUnZJmohaJRA4BkwaDocMxw1yhwwoX4A8GmVwux+OPP85KeL1ej/T0dBBCmlGSuVUnacCk3W7HmTNnoFQq0a9fv2B0pcMiKioKP/30E6qqqnDPPfcgIiKCDax0R0nmVp1UqVQICQmB3W7vYob5iW7dumHz5s04duwYnnjiCfTs2RMajQY1NTVuKyfSqpNAk69FKpXCYDB0McP8hFgsZhlkBoPBYdxpdUpn3xf1t3APuRaLBSaTqcMxw1yhQwsXoIkeu379epSWlmLp0qVQKBQwGAyQy+WIiopq5ndRqVSIjY0F0MTMEAqFbGDm4MGDO0RwUntD79698cMPP+CXX37Biy++yAZWCgQCCASCZsLFZDJBLpdDrVbDbDYjPDwcBw4cgFKp7GKG+QnKIPvss8/wxRdfsIGV1J7P1V64VSepFkn9jWFhYV3MMD/BZZDZ7XY2sNJVdUqaf08sFrMBk0DTwbgjMsNcoVPspL169cLKlSuxf/9+rF+/HiKRCI2Njc1SwdjtdtTX1yM+Pp5VSfPy8tDY2NjFDGshJk+ejA8++ABr1qzBDz/8AKApsNKZkkydmxKJBLW1tVAqlfj999+7mGEBwP/93/9h6dKlWLJkCQoLC2EymVBZWdmsOiX1B4jFYpjNZojFYhQVFUEikXSaapLBQmhoKORyObRaLYRCIauROPu+uBRkKlx0Ol2HZYa5QqcQLgAwceJELF26FJ988gkOHDgAs9mMhIQENDY2Qq1WA2gK0mMYBjExMSCE4Nq1a13MsABi/vz5eOKJJ/DUU0/h/PnzrIOTW52SLjB6urt69Spqa2sxYcKETrOogok333wTt956K+bNmwe9Xo+ioiKHxIpUaxEKhey8VFRUXNc5wwKNsLAwiMVi6HQ6duy5lGQuS4yyyGhQeGfyc3WeuqQA5s2bhytXruC1117Dhx9+iL59+0IkErFpMWpqahASEgK5XI6amhoUFRV1McMCjPfffx/5+fn461//ii1btkChUEChULCmMYvFAoVCgYaGBtTU1KCkpARjxozpsvEHCCKRCF9++SXGjh2Lp556CitWrMB///tfnDlzBvn5+WhoaEC3bt0wadIkDB8+nK1plJmZ2aW5BwgCgYA1DRuNRpYevmvXLhQXF8NkMiEhIQGTJk3CmDFjIBKJwDAMwsPDO5XWKCC+Fjxv57BYLKyQ+ec//4krV65ApVKhqKgIffr0weDBg5GWloZz584hISEBAwYMCHaTOx0aGhowatQoMAyD7777DikpKaioqMDmzZsxdepU9v+vXr2KgQMHdjnwWwElJSUYPnw4y1waNGgQRo4cibCwMBQXF+PXX39FREQEHn/8cUyaNIn1Q3YhcLDZbCgrK8P69evx73//G9nZ2Q5zcPjwYcTExODvf/87O1edCZ1OuABN5q8//elPUKvVsNvtOHv2LPu3kSNH4s4778TEiRNxww03dDnwWwm0vn1ycjJCQ0Nx/Phx9m9Dhw7F2LFjcdddd2H8+PGd6rTWXmAymXDfffchPz8fy5cvx/jx4x2cxNeuXcPGjRvxww8/4Jtvvuk6ZLUCTCYTnn32Wfz3v//FO++843YOtm7dii+//LLTzUGn3Fmjo6MxePBg5OTkOAgWADh27BheeOEF7N27t0uwtCJ69eqFWbNm4eLFiw6CBQBOnz6NNWvW4OjRo12CpZXw/fff4/z58/jnP/+Jffv2Ye3atawT+cyZM5g3bx5uuOEGzJ07F88//3yzukhdaDm+//57/PLLL/joo488zsGf/vSnzjkHpBNi586dBIDXn127dgW7qZ0WXXMQPDQ2NpJRo0aRlStXkm+++YbIZDIil8vJsmXLyPHjx0nfvn0JADJ27Fhy7do1MmrUKLJ79+5gN7tToWsOCOmUwmXSpElEJBJ53NREIhGZMmVKsJvaadE1B8HD+fPnSVpaGsnPzycajYY8/PDDRCQSEblcThISEggAkpmZSY4dO0YYhiGvvvoqWbJkSbCb3anQNQeEdDq7UF1dHfbv3++1SJLdbse+ffsc0sR3ITDomoPgoqqqCqGhoYiLi0NYWBhWrFiBO+64AyaTCdXV1YiNjcXnn3+O4cOHQyAQoHfv3igoKPBa1KoL/NE1B53Q58KtiNga13fBO7rmILigqUco/buwsBC5ubns33U6HX777Tc2mNJgMASrqZ0WXXPQCYVLVFRUq17fBe/omoPgQqFQoL6+HgUFBTh37hzuv/9+5ObmIjMzE3fccQdsNhteeeUVrFq1ChaLBcePH8fgwYO7yBUBREZGBiwWy3U9B51OuMTExGDy5MleI41FIhGmTJmCmJiYNmrZ9YOwsDCkpaV5va5rDgKL3NxcPPzwwxgzZgy0Wi0+/fRTnD17FteuXUNmZia++uorfPHFF5g3bx6sVit+/PFHnDx5Ert27cKcOXOC3fxOhZSUFAwbNuz6noPgunxaB7t27epiKgUJxcXFZPjw4UQsFnfNQRuAYRhy8OBBcuuttxIAJCkpibzzzjvk0KFDJCUlhaxevZps3LiRHD9+nDAMQxiGIRqNhrz++utk//79ZNq0aWTu3LnEbrcHuyudCvv37yfR0dFEoVBct3PQKYULIYS89dZbbhlKAMjbb78d7CZ2Omzfvp1ERUWRbt26kePHj7Nz4Mwa65qDlsNqtZLvvvuO3HDDDQQA6d+/P9m4cSMxm82EkCahs2XLFhIfH08WLlxIzp07R3Q6HTGZTKSmpoZs2bKFDB8+nNx4441Eo9EEuTedB3a7nbz++utEKBSSSZMmkQ0bNly3c9BphYvVaiXx8fEkKSnJYWObMmVK12k5wLBYLGTJkiUEALn99ttJfX09+7ddu3aRKVOmdM1BgKDT6cjq1atJt27dCAAyefJksmvXLsIwTLNrGYYhP/zwAwFAoqKiyIABA8jw4cNJt27dSHR0NHnqqaeIXq8PQi86J1QqFZk2bRoRCATklVdeITabjTAMQ06ePEluuukmEhMT4zAHYrGYTJ48udPOQacVLv/6178IAHL69GlSW1tLCgoKSG1tbbCb1elQWlpKxowZQ0QiEVm+fLnLTY4Q0jUHLURFRQV56aWXSFRUFBGJROTee+8lOTk5Xu+bP38+iYuLI7m5uWTLli3k008/Jfv37ydarbYNWn394MiRIyQlJYXExcWRvXv3Nvu71WolV69edZiDmTNnkn79+rldMx0dnVa4jBo1ikyYMCHYzejU2LNnD4mNjSWpqank6NGjwW5Op8TFixfJgw8+SKRSKVEqlWTRokWkpKSE1711dXUkJCSEvPrqq63cyusXDMOQ9957j4hEIjJ27FhSVlbG+94DBw4QAC6FUWdApxQux44dIwDIjz/+GOymdErYbDbyt7/9jQgEAjJ9+nRSU1MT7CZ1KjAMQw4cOEBuueUWAoAkJyeTZcuWkYaGBp+e88477xCpVEqqq6tbp6HXOerq6shtt91GAJDnn3+eWK1Wn+5nGIYMHjyYzJgxo5VaGFx0SuFyzz33kJ49exKbzRbspnQ6VFZWkokTJxKhUEjefPPNTsdwCSasViv59ttvybBhwwgAMmDAALJp0ybWSe8LLBYLSUlJIfPmzWuFlnbh999/JxkZGSQqKor89NNPfj9n48aNBAC5dOlSAFvXPtDphEtJSQkRiURkzZo1wW5Kp8P+/ftJYmIiSUxMJAcOHAh2czoNdDodWbVqFcnIyGAJD7t3726RLf6bb74hAMi5c+cC2NIuMAxDVq9eTSQSCRkxYgQpLi5u0fNMJhNJSEggjz32WIBa2H7Q6YTL0qVLSUREBNHpdMFuSqeB3W4nb7zxBkuvrKqqCnaTOgUqKirIiy++SCIjI4lIJCL33XcfOX36dIufyzAMufHGG8nkyZNb3sgusFCr1WT27NkEAHnmmWf80ihd4R//+AdRKBSdjuzSqYSLTqcjkZGRZPHixcFuSqdBTU0NS6/8+9//3mVqDAAuXLhA5s2bRyQSCQkLCyPPPfccbyc9Hxw9epQAIDt27AjYM6935OTkkJ49e5Lw8HCyefPmgD5bpVIRmUxG3nrrrYA+N9joVMLlww8/JEKhsMWqaheaQOmVsbGxZM+ePcFuTocGwzAs/RQASUlJIe+++y5Rq9UBf9ecOXNI7969u/xhAQDDMGT9+vVEJpORIUOGkCtXrrTKex566CGSnJwcMG2oPaDTCBe73U569epF/vSnPwW7KR0eLaFXdsER1Ek/dOjQFjvp+aC4uJgIhUKydu3aVnn+9QSdTkfuu+8+AoDMnz+fGI3GVnvX+fPnCQDy9ddft9o72hqdRrj89NNPBAD57bffgt2UDo36+npy++23+02v7EITtFotef/991kn/c0330z27NnT6gFzzz33HImMjCSNjY2t+p7OjvPnz5OsrCyiVCrJt99+2ybvvPnmm8kNN9zQaYIqO41wmTRpEhk+fHinmZhgIFD0yusZ5eXl5IUXXiCRkZFELBaT+++/PyBOej7QarUkPDycLF26tE3e11mxceNGolAoyIABA0heXl6bvfc///kPAUAOHz7cZu9sTXQK4XLmzBkCoM1OGJ0NDMOQNWvWEIlEQoYPH97ls/ID58+fJ3/9619ZJ/3ixYvJtWvX2rQNq1evJiKRqM3f21mg1+vJgw8+SACQBx98sM1zftntdtKnTx8ya9asNn1va6FTCJd58+aR1NRUYrFYgt2UDge1Wk3mzJkTcHrl9QCGYcgvv/xCZsyYwTrp33vvvVZx0nuDzWYjPXv2JHPnzm3zd3cG5OXlkQEDBhCFQkE+//zzoLVj3bp1RCgUkqtXrwatDYFChxcuVVVVRCqVkmXLlgW7KR0Op0+fJpmZmSQ8PJz88MMPwW5Oh4HFYiHffPMN66QfOHAg+eKLL4IqmLdt20YAkN9//z1obeio+Pbbb4lSqSR9+vQh58+fD2pb9Ho9iYqKIs8++2xQ2xEIdHjh8sorr5CQkBCHNO9d8AyGYcg///nPVqdXdjZotVqycuVKkp6eTgCQqVOnkr1797YLP9/48ePJqFGjgt2MDgWj0Ujmz59PAJB777233QRev/DCCyQsLKzD13jp0MLFaDSSuLg4smDBgmA3pcOgLemVnQVlZWXk+eefJxEREUQsFpO//OUv5MyZM8FuFoucnBwCgPz73/8OdlM6DK5cuUKGDh1KZDIZWb9+fbs4IFCUlZURsVhM3n///WA3pUXo0MJlw4YNBADJz88PdlM6BC5cuECysrJIaGgo+eabb4LdnHaP8+fPk//7v/8jEomEhIeHkyVLlpDS0tJgN6sZHnjgAZKent5FG+eJzZs3k/DwcNKzZ09eNXGCgXvvvZd07969Q2fE6LDChWEYMmDAAHLLLbcEuykdApRe2b9/f5Kbmxvs5rRbMAxD9u3bR6ZPn04AkNTUVLJ8+fKgOOn5oKKigkgkEvLee+8FuyntHmazmTzzzDMEAJk9e3a7nVNCCDl+/DgBQLZs2RLspviNDitc9u3bRwCQffv2Bbsp7RpceuW8efM6bUnVlsJisZCvv/6aDBkyhAAggwYNIl9++WW7ZyD+v//3/0hoaKjPtV6uN5SUlJARI0YQiURC1qxZ067MYO4wZswYMm7cuGA3w290WOFyyy23kAEDBnSIjyRYaC/0yvYMrVZLVqxYQdLS0ggAMm3aNPLzzz93iO/KYDCQ2NhY8uSTTwa7Ke0aO3bsINHR0SQjI6NDsel++OEHAoCcPHky2E3xCx1SuOTn5xMA5LPPPgt2U9ot2hO9sj2irKyMLc8gFovJAw88QM6ePRvsZvmETz75hAgEAlJQUBDsprRLWK1W8vzzzxMA5LbbbiN1dXXBbpJPsFqtJCMjg9x///3Bbopf6JDCZcGCBSQ+Pr6L6eQC7ZVe2V5w7tw58sADDxCxWNyunfTewDAM6devH7n99tuD3ZR2ibKyMjJu3DgiEonIe++91yE0UVdYsWIFEYvFpLy8PNhN8RkdRrjQj6Ouro6EhISQV155JbgNCgK8LZDCwkKWXvnxxx932AXlCf70iWEY8vPPP5Np06YRACQtLY2sWLGiQ8YR0P7v2bOHALguK4J6+wb27t1L4uLiSEpKCjly5Egbtap1oFariVKpJC+99BL7u46yrsVop2AYBleuXMGePXtw9uxZmEwmpKenQ6VSwWq1Yv78+cFuYqvD3RhMmjQJo0ePRkhICHvt1q1bMW/ePMTGxuK///0vhgwZEsSWBw6+jIEzrFYr/v3vf2P58uU4c+YMBg8ejK+++gp33303JBJJG/bCf7jr/88//4yBAwdi/PjxwW5iq4PvN2C32/GPf/wDr7/+Om6++WZ89dVXiIuLC3LrW4aIiAg8+OCDWLt2LaKjo5Gbm+vTGggmhMFugCvo9Xq89dZbmDlzJvbs2YNu3brhxhtvhMlkwrFjx5CYmIiamppgN7NV4WkMXnjhBfzpT3/ChQsXYLFYsGjRIsyaNQtTpkzBqVOnOo1g4TsGztBqtVixYgV69OiB+++/H4mJidi3bx9ycnJw3333dRjB4q7/RqMRBoMBAoEAFy9eDHYzWxV8v4Hq6mpMmzYNb7zxBv7xj39g165dHV6wAE39F4lEsFqt2L9/P+810C4QbNXJGUajkSxcuJAMHjyY7Nu3j+j1evLBBx+Q5557jhw7dozU1NSQ1157jQwZMoScO3cu2M1tFfAdg/79+5OBAwcSiURCVq9e3WHUZT7w5zsoLS0lS5YsIeHh4UQikZD/+7//67DfSNc64D8Gffr0ITExMSQhIYHs378/2M0OGDr6N9DuhMsXX3xBevXqRc6cOUMYhiEmk4mMGjWKACCffPIJIaQpJuHNN98kM2bM6JRFkfiOwRtvvEFCQkLIwYMHg9ziwMOX72Ds2LFk7ty5rJN+6dKlHb56Ztc64D8Gr7/+OomNjSWFhYVBbnFg0dG/gXZlFtPr9Vi3bh3mz5+PgQMHQiAQuLxOIpFgwYIF0Gq1OHLkSBu3snXhyxgsXLgQgwcPhslkauNWti58/Q6MRiP27duHd999F6WlpVi2bBlSUlLauNWBQ9c68G0MnnjiCfTp0wcFBQVt3MrWQ2f4BtqVQ7+oqAhlZWUYNWoUdu3aBYZhYLPZ0NDQAAA4d+4cduzYAQBISUnB1KlT8csvv2DatGnBbHZA4esYTJs27bofg9tvvx0ajQbPPvtsMJsdMHStg64x6BT9D7bqxMXPP/9MsrOzydatW4lMJiNCoZAIhUICgAAgAoGA/d39999Pvv76a3LPPfd0Kl9D1xh0jcH13n9CusagM/S/XWkuUqkUNpsNEokEmZmZsFqtIISgtLQUJpMJ8fHxiIiIAAAkJCTAZDJBKpUGudWBRdcYdI3B9d5/oGsMOkP/25VwycjIgMViQXh4OI4ePQoAsFgsuPXWW3H8+HG8/PLLeOCBBwAAYrEYixYtwoULF/Dll19i6tSpSExMDGbzAwJfx+C5555DSkqKW5tsR4SvY7B48WKPdumOhoyMDJjN5uu2/wzDIDIyEkaj8bobA0IIdDodRCIRDAZDh+5/u3Lop6SkYPTo0di0aRMUCgUiIiIQHh4OkUgEAA6/Ky0txb59+2C1WjFv3jykpKRg2LBhePHFF3Ho0CFYLJYg98Y/+DoGP/74I9555x0MHz4cK1euRFlZWZB70HIkJiYiJiYGn3/+Oa8x2L9/PwYNGgRCSJBb3nKUlJTgo48+gkql4t3/Q4cOYcaMGUFuectACIFarUZhYSFOnToFrVaLAQMG8F4HR44c6bBjYDabUVVVhby8PPz+++84d+4cCCEYPHhwh+5/uxIuYrEYS5YswYEDB7BhwwZYrVYAgEAggFAohEAgACEE1dXVWLx4Mf785z/j7NmzqKysxJdffol+/fph48aNmDRpEuLi4nDXXXfh448/RlFRUZB7xh90DPbt24fPPvvM6xj85S9/wbfffovU1FS89NJLSEtLw7hx47B27VpUV1cHuTe+48SJExg9ejRycnKwfft2Xt/B0KFDUV5eji1btuDSpUsd7mBBCMGxY8dw//33o3///vjqq69w//3381oHzz77LC5fvox///vfHY41SAiBVqtFUVERTp06hby8POh0OiQmJmLYsGF48803ee8Fd9xxB7Kzs4PcI35gGAZqtRpFRUXIycnBiRMncOXKFZjNZiQnJ2PQoEEYM2YMXn/99Q7dfwFpZ8c9Qgi2bduGxYsX45ZbbsFDDz2E4uJiaDQaZGdno7KyEsuXL0fv3r2xcuVKhIeHO9zPMAzOnDmDPXv2YO/evTh69Cjsdjt69+6NadOmYdq0aRg/fny7TZkAABUVFXj55ZexZ88ezJkzh/cYaLVa/Pjjj/juu++wd+9eMAyDiRMnYu7cuZg1axaio6OD3DP3UKvVePnll7Fu3ToMGjQIH3/8MSoqKnh/BzabDZcuXUJxcTGEQiF69eqFrKwshIWFBbtrbmG1WrF161Z8+OGHOHXqFHr16oWFCxfi3nvvRUhICK910LNnT8THx2PVqlXIyMjAhx9+iKlTpwa7ax6h0+lQV1eHuro6WK1WyGQyxMTEICYmBqGhoex1fPaCd999F7Gxsdi0aRPrg2iPMBqNaGhoQENDAzQaDRiGgVQqRVRUFKKiohAZGQmx2NFL0dK9MNhod8IFaBrUnJwcvPbaazh8+DB69OgBhUIBjUaD0NBQPPTQQ7jvvvt4CQiNRoMDBw5g9+7d2LNnD65duwaZTIZx48axwqZv377txlZZXV2Nb7/9FrGxscjMzMT777+PU6dOITIyEnK5nPcY1NXVYevWrfjuu+9w4MABCIVCTJ06FXPnzsUdd9zRbj5EQgi+++47PPvss9Dr9XjjjTewcOFCiMVi9jt49913eY+B0WhEfn4+8vPzYTabkZaWhr59+yIhISGIvXREQ0MDNmzYwArQiRMn4sknn8TNN98MofAPY4Iv/c/Ly8OCBQtw8OBBzJ07FytWrEBSUlIQe+kIvV7PChSz2QyJRILY2FjExMRAqVS6vc/bGMyaNQsZGRno1asXhgwZ0m7Wsd1uh1qtRkNDA9RqNUwmEwQCASIiIlhhwhWk7uCu/3V1dRCLxXjqqad474VtjXYpXCg++eQTLFu2DKtXr4ZQKERiYiIyMzP9Po0SQpCfn4//3955h0V1NX/8uwsIolLtIlhQil0UewELxN5ZTaJvemwxiYnxNTGJaWoSY4wENVWTiKxIUVBBEFE6UkSqVKnSFtilbb3z+8N39yfBArLNZD/Pkyfq3ntm7u69d87MmZkTGhqKkJAQ3LhxA0KhEFZWVli4cCHc3d0xb948mJmZKfdCOkhNTQ28vb1hbm4ODw8PGBoaQiqVorS0FEVFRRCJRE/1HVRVVeHcuXPw8fFBdHQ0DA0NsWjRInA4HCxevLhDN7kqyMvLw5YtWxAeHo41a9bg+++/f2jx49N8BzKZDIWFhcjKygKfz4eFhQUcHR0xZMiQNi9wdZKXl4cff/wRp0+fhkwmA4fDwdatWzFq1KjHntfR6yci/PXXX3jvvfcgEonwxRdfYPPmzYo4vbppbW1FbW0teDwehEIh9PX1FR5Kr169OmUIHvcdlJaWIikpCUOHDsX48eNVd0FPoLm5WeGdCAQCEBGMjIwU3ompqelT/xZ/v36BQACGYeDh4aGx+/lJaLVx8fDwgKmpKX766SeVjN/a2oqoqCiEhITgypUryM7Ohp6eHqZOnYqFCxfCzc0NTk5OavnxamtrcebMGfTq1QscDgdGRkYqkVNaWgpfX1/4+Pjg5s2bMDY2xrJly8DhcODu7g5DQ0OVyH0QoVCIAwcOYP/+/Rg0aBB+/PFHlS5GVlRUIDs7G+Xl5ejevTvs7OxgZ2enlmslIkRGRuLo0aMIDQ1F37598frrr+PVV19VWWPF+vp67NmzBydOnICTkxOOHz8OJycnlcj6O0KhUOGhtLS0QF9fHxYWFrC0tISJiYnKPIvi4mKkpKRg+PDhGDt2rEpk/B2JRNLGOxGLxdDT01N4J+bm5ip7juvq6hAeHo45c+ZolVf+IFprXKqrqzFjxgwcPHgQq1atUovM4uJiXLlyBSEhIYiIiIBAIEDv3r2xYMECuLm5YcGCBSpJd66rq4O3tzeMjY2xfv16dO/eXekyHkZhYSG4XC58fHxw+/ZtmJiYYOXKlfDw8MD8+fNV0j04LCwMW7ZsQXFxMXbt2oU9e/aozaXn8/nIzs5GQUEBAGDYsGFwcHBQiacqFArB5XLh6emJrKwsjB49Gtu3b8fatWvVYtQAIC4uDps3b0ZGRga2bt2Kzz77TCXrEiKRSGFQmpubwWazFQbF1NRUbTProqIi3Lp1CyNGjMDo0aOVPr48TVhuTBobGwEAPXr0UIS6TExM1Ha9wcHBGDBggNomDp1Fa43LX3/9hS+++AIJCQkaWaiTSCSIj49HaGgoQkNDkZKSAgCYMGGCwquZPn16l1/ADQ0N8Pb2Rrdu3RQLuZogOztbYWju3LkDS0tLrF69GhwOB7Nnz+5yaKWyshLvvvsuzpw5gzlz5uDYsWMay24RiUTIzc1FTk4OWltbMXDgQDg4OCilH1l1dTV++ukn/Pzzz+DxeHjuueewfft2zJo1SyPrAVKpFD/88AM++eQTmJiY4LvvvsO6deu6rItEIlEYlMbGRrDZbJiZmaF3794wMzPTWKimoKAAt2/fhp2dHRwdHbs8nkgkauOdSKVS6Ovrw8zMTOGdaKp48datWygpKcHSpUu1Zq3pQbTWuLz44ovQ19fH77//rmlVANxftwgPD0dISAjCwsJQU1ODXr16wdXVVZEYMGTIkE6NKRAIcPr0aejp6WHDhg2PXdhUF0SE27dvw8fHB1wuF0VFRejfvz/Wrl0LDw8PTJs2rVMvDplMhuPHj2PPnj0wNDTEt99+ixdffFErHgaGYXD37l1kZ2eDx+PB1NQUDg4OGDZsWLvMnSeRnp6Oo0ePwtfXFwYGBnjxxRexefNm2Nraqkj7zlFaWop33nkH/v7+WLhwITw9PTutm1QqVRgUgUAAFosFMzMzWFpawtzcXGNrO38nLy8PGRkZcHBwgL29fafOZRgGAoFAsXbS0tICAOjVq5fCmPTs2VMr7t/a2lpERETAxcVFK/eu0UrjUldXh2nTpmHfvn3gcDiaVqcdDMMgNTVV4dXExcVBJpPBzs5OYWhmz579WC+ksbER3t7eAIANGzZoZcosEeHmzZsKQ1NRUYHBgwfDw8MDHA4HEydOfOxDlpKSgjfeeANJSUl4/fXXsX//fq1Nh66urkZWVhZKS0vRrVs3jBw5EnZ2do/9DRmGweXLl+Hp6YkbN25g8ODB2Lx5MzZt2qSxpJAnERwcjO3bt6OyshJ79uzBrl27HhumkzdL5PF44PP5AAATExNYWlrCwsKi00ZYXdy5c0cRjhwxYsRjj5WnCTc0NKChoaFDacLaABEhODgYVlZWWrlBoFYal7Nnz2Lv3r2IjY2FpaWlptV5Inw+HxEREYp059LSUhgaGmL27NkKY+Pg4KB4ETc3N8Pb2xtSqRTPP/+81qQFPw6GYRATEwMfHx/4+vqipqYGw4cPB4fDAYfDaRPjFggE2Lt3Lzw9PTFq1CgcP34c06dP16D2HaepqQnZ2dnIz8+HVCrF0KFD4eDg0OY+bGpqwl9//QUvLy8UFBTA2dkZ27Ztw/Lly7XyJfR3Wlpa8MUXX+Dbb7/FsGHD4OXlBVdXV8XnMplMYVAaGhpARG0MyrOyk2d2djZycnIwZsyYNl6aTCYDn89XeCcPpgnLw12ayqDsLCkpKaioqMCSJUs0rUo7tNK4vPLKKxAKhTh9+rSmVek0RIScnJw26c7yegs3Nze4uLigpqZGEQrT1hnu45BKpYiMjISPjw/8/PzQ0NAAR0dHeHh4wMTEBF9//TUEAgH27duHt95665l5GT2IRCJBfn4+srOz0dTUhL59+8LMzAznz5/HyZMn0dzcjJUrV2Lr1q1wdnbWtLpPRWZmJrZs2YKoqChs2LABH330EfT09FBfXw+GYdCzZ09F6rC2NUXsKJmZmcjNzcWIESNgZmamkjRhTVJdXY3IyEjMnz9f+6ICymqvrCz4fD7Z29vTqVOnNK2KUmhubqaQkBB6++23yd7enlgsFunp6dH06dPpyy+/pJs3b5JMJtO0mk+NSCSi4OBgWr58Oenp6REAMjU1pf/+979UVFSkafW6DMMwFBgYSK6urmRkZERmZmb0+uuv/yN2PWQYhurq6ujAgQNkZmZGvXr1oo8++ohKS0tJKBRqWr0uIZFIqLq6mnJzc+n06dP05Zdf0rlz5ygzM5MqKiqotbVV0yoqBfn9mZaWpmlV2qF1nktgYCDef/99REdHa23+9tMgEolw5swZ3L17FyYmJoiOjkZERAQaGxvRp0+fNunOz9J1i0QifPPNN/jyyy/Rp08fPP/88ygoKEBwcDBaW1sxdepUcDgcrF27FgMHDtS0uh1GKpUiMDAQnp6euHnzJmxtbbFx40aMGTMGVVVV0NfXh62tLRwcHLQiEaOj0P/6efF4PNTV1UEqlaJ79+5gs9n47rvvcOrUKTg7O+PYsWNaGcd/FESEpqYmRajrwTRhMzMzlJWVobq6GpMnT4a1tbWGtVUuSUlJqK6uxqJFizStShu0zrhs3rwZtbW18PX11bQqSkMkEuHs2bOoq6vDhg0bFJkdEokEcXFxisSA1NRUAMDEiRMVazVTp07V2rBSREQEtmzZgoKCAuzcuRN79+5VxKqbmpoQFBQEHx8fXL58GVKpFLNnzwaHw8Hq1au1MrsFuJ8a/vvvv+P48eMoKyvDnDlzsH37dri5uSmy5FpaWnDnzh3k5uZCLBYrWsz07dtXw9o/msbGRtTW1qKurg4SiQRGRkaKkNeDSQsxMTHYvHkzsrKy8NZbb2Hfvn1amWwC3G9BLzcmD0sTNjMzUyQrEBFu3bqF4uJiTJo0CVZWVhrWXnlUVlbixo0bWLhwoVaF2bXKuDQ3N8PZ2RnvvPMOXn31VU2roxTEYrFiAXz9+vWP9UqqqqoQFhamSHeura2FiYkJXF1d4e7ujoULF8LGxkaN2j9az/feew9//fUXZs6ciWPHjj22aK2hoQGBgYHw8fFBeHg4AGDevHngcDhYuXKlVjwQeXl58PLywl9//QWpVIp169Zh27ZtGDNmzCPPkUqlKCwsRHZ2Nvh8PiwtLeHg4KDRFjMP0tTUpEgdFovF6NatGywtLdG7d+/HLlhLJBJ8//332LdvH8zNzfH9999j1apVGk+/lacJy+tOmpubAXQ8TZj+16ertLQUzs7Oz5Qn/TgYhsH58+dVVjz6tGiVcbl48SLefvttXLt27R8xs5BIJDh37hwqKyvh4eHRqZuZYRikpKQovJr4+HjIZDLY29u3SXdWVzW/XKeff/4Zu3fvhp6eHr755hts2rSpUy/Smpoa+Pv7w8fHB9evX4e+vj7c3d3B4XCwbNkytYaYiAg3btzA0aNHERISAktLS7z++ut47bXXOuWFEJGixUxFRQWMjY1hZ2eHkSNHqq0aX05LSwt4PB5qa2sVDSIf7OfVGYqLi7Fjxw5cuHABzz33HI4ePYphw4apSPOHIxQK23gn8jThB4sYO5OhR0RISkpCRUUFpkyZ8o/YYBAAEhISUF9fD3d3d02rokCrjMtbb72F4uJinD9/XtOqdBmpVAo/Pz+Ul5dj3bp1XTaWDQ0NbdKdy8rKYGRkhNmzZ8Pd3R1ubm6ws7NT2ezy1q1bePPNN5GQkICXX34ZBw8eRO/evbs0ZkVFhaKhZlxcHLp3747FixeDw+Fg0aJFKjOcQqEQvr6+8PT0REZGBkaNGqVozdLVXlANDQ3Izs5GYWEhAGD48OFwcHBQaZeJ1tZWhYfS2tqq6OfVu3fvTjeIfBjnz5/HW2+9hZqaGnz00Ud47733VJY99qg0YRMTE4Ux6WqaMMMwuHnzJiorKzF16tRnao3zUZSXlyMmJgbu7u5aU9qgNcZFKBTC2dkZb775JrZs2aJpdbqETCZDQEAAiouLsXbtWqUvIBIRsrKyFH3QoqKiIBKJYG1tDTc3N7i7u8PFxUUpL7TGxkZ88sknOHLkCBwcHHD8+HHMnDlTCVfRluLiYpw9exY+Pj5ISUlBz549sXz5cnA4HCxcuFApL7Pq6mr88ssv+Omnn1BTUwN3d3ds374dc+bMUbpRFgqFyM3NxZ07d9Da2opBgwbBwcFBaaEYeT+v2tpatLS0QE9Pr00/L2VfT1NTEz7//HN89913GDlyJLy8vDBnzhyljC3vJtzQ0AA+n6+WNGGGYZCQkICamhpMmzZNa9cAO4pMJsP58+dhb2+vlLY3ykBrjIu8oWFoaKjaXW9lwjAMAgMDUVhYiDVr1nS6JczT0NLSghs3bii8mtzcXOjp6WH69Olwc3PDwoULMWHChE6Fr4gI/v7+2LFjB+rq6vDpp5/inXfeUUtyQV5enqLPWWZmJszMzLBq1SpwOBy4uLh0ulAxIyMDnp6e4HK50NfXxwsvvIAtW7Y8sXJbGchbzGRlZaGurg6mpqZwdHTEsGHDOv3CFIvFCg+lqakJbDYb5ubmsLS0VFs/r/T0dGzevBmxsbHYuHEjvv76604nMkilUsW6SX19PcRiMdhsdptuwuoI9zIMg/j4eNTW1mLGjBnPRMH244iLi0NjY6PWbBanNcblvffeQ2ZmJi5fvqxpVZ4ahmEQFBSE3NxcrFq1CsOHD9eIHkVFRW26Ozc1NaFPnz6KPWsWLFjw2JlaUVERtm3bhkuXLmHJkiU4evSoWozkw8jIyFAYmvz8fPTp0wdr1qwBh8PBzJkzH/lCZRgGoaGhOHr0KK5fv45BgwZh8+bN+M9//gNzc3M1X8V9qqqqFC1mDA0NMXLkSNjb2z/2RSqRSFBXV4fa2to2DSLl/bw0kTjAMAx+//13fPDBByAiHDhwAK+88sojdXlUmrCxsbHCmKizm/CDyGQyxMXFob6+HjNmzNC+QsROUFpairi4OI3u0fQgWmFcJBIJpkyZgo0bN+Ltt9/WtDpPBRHh4sWLyM7OxooVK9QyK+4IYrG4TbrzrVu3wGKx2qU76+vrQywW49ChQ/j888/Ru3dv/PDDD1i+fLnGs4SA+99vamqqos9ZSUkJBg4ciHXr1oHD4cDZ2RksFgvNzc04ffo0vLy8kJeXh0mTJmHbtm1YsWKF1qR0NzY2IicnB3l5eWAYBkOGDIGjo6PixSaVSlFXV6fo5yVvTSJvv6ItleQ1NTX44IMPcPLkSUybNg3Hjh1T7KXSmTRhTSOTyRATEwM+n4+ZM2dqbPLRVaRSKc6fP4/Ro0fDzs5O0+poh3G5fv06Xn31VQQFBXW6i6k2QEQICQlBeno6li1bptXXUFlZ2SbdmcfjwcTEBGPHjkVubi6qq6vx7rvv4pNPPtHa4kB5OIPL5eLs2bOorKzE4MGDYWVlhby8PLS2tmLlypXYtm0bpkyZoml1H4lYLFa0mGlsbISxsTH69Omj8GRMTEzQu3dvrW4QCdx/frds2YLc3Fy89NJL2LRpE+SvlZ49eyq8E2UkF6gKqVSKmJgYNDY2YtasWRrZ5kMZxMTEQCgUYt68eZpWRTuMy549e5CYmIiwsDCtvfkex5UrV5CamoqlS5dqzWJaR5DJZLh69So++OADhUfDYrHg4OCgSAyYNWuWynbTUwbx8fH45JNPcO3aNUilUhARhg0bhhdeeAEeHh5a/XswDIP6+nrU1tYiJycHhYWFaG1tRf/+/TFp0iQ4ODhojbf1MB5ME66trYW3tzdOnToFc3Nz7N+/H+vXr3+mepJJJBLExMSgubkZs2bN0pqsq85QXFyMhIQELF26VK1lCg9D48ZFJpNh6tSpWLduHd5//31NqvJUhIeHIzk5GYsWLXpswZ22wTAMfvvtN+zatQsAFDt+Xrt2TRFCk28L/GC688iRIzU+AZBKpbhw4QI8PT2RkJCAYcOGYcuWLeBwOEhISACXy4W/vz8EAgHGjBkDDocDDw8Pja2BPQjDMODz+Yr2KwzDoEePHujduzcsLS0hEAiQnZ2Nu3fvQl9fHyNGjIC9vb1WeJEdSROurq7G9u3bcenSJSxduhQ//PCDVhT+dhSxWIzo6GgIhULMmjVLa7sTPAqJRILz589j3LhxGg/Na9y4xMXFYePGjfDz81Pb3tfKIjIyEgkJCXBzc8P48eM1rU6HSU9Px5tvvonY2Fhs2rTpoRk/RITMzMw26c5isRg2NjZt0p3VObvj8/k4efIkjh07htLSUsyaNQvbt2+Hu7t7u3UIkUiE0NBQ+Pj44MKFC2hubsakSZPA4XCwbt06DB48WG16E1EbgyKTyWBsbKwobnyYZ9jS0oKcnBzk5uZCIpHA2toaDg4Oam8x09zcrMjsejBN+MG1k79/90SEgIAA7NixA/X19di7dy/effddrfbCHkQsFivu99mzZ2vF4nhniIqKglQqhYuLi0b10Lhx+fTTT3Ht2jVERkZqfEbcGaKiohAbG4v58+dr7R7Wf6epqQn79u3D4cOHMWLECBw7dgxz587t0LnNzc1t0p3z8vKgr6+vSHd2c3PDuHHjVJLxU1BQAC8vL/z5558Qi8VYt24dtm7dinHjxnXo/JaWFly8eBE+Pj64ePEiRCIRZsyYAQ6HgzVr1qikSpv+t9+6PHVYKpXCyMhI4aF0NGQhbzGTlZUFgUAAS0tLODo6wsbGRiXftTLThBsbG7Fv3z4cOXIE9vb28PLywqxZs5SusyoQiUSKl/STNv7TNoqKinDz5k0sW7ZMoyFtjRoXhmEwc+ZMLF68GB9++KGm1Og0sbGxiIqKgouLyzOzl8f58+exfft21NTUYO/evV2usi4oKMCVK1cQGhqKiIgINDc3o2/fvop05/nz53epMI2IEBUVBU9PT1y6dAkWFhZ47bXX8Prrr3epologEODChQvw8fFBaGgoGIbB3LlzweFwsGrVqi7XOjxoUCQSCQwNDRUeSldmwPIWM1lZWbh37x6MjY1hb2+PESNGdCnrSh1pwrdu3cLmzZsV3R0OHDjQ5e4O6kAoFOLGjRsgIrW3WuoKIpEIFy5cwMSJEzUaCtaocUlOTgaHw8GZM2cwadIkTanRKRISEhAZGYnZs2dj2rRpmlbniRQXF+Ott95S9Ify9PRUepGqWCxGbGysYq0mLS0NLBYLTk5OCq9mypQpHcp4EolEOHfuHDw9PXH79m04ODhg+/btWLdundIf7rq6OgQEBMDHxwcRERFgs9lYsGABOBwOli9f3uGMoebmZoVBEYlEigaRlpaWKlkrqa+vR3Z2NoqKigB0vsWMWCxu4508mCYsD3cpO01Y3pfuv//9L/T09HDw4EH85z//0YoGn4+jtbUVN27cAIvFwuzZs7U6ueVB5JEgZXVReBo0aly++uorBAcHIzo6WutvMuD+vglXr17FjBkzVNICRZlIJBIcPnwY+/btg5mZGX744Qe1dbatqKhAWFgYQkNDERYWpqhMnzdvnqK789/XPGpra/Hzzz/jp59+QnV1Ndzc3LBt2za4uLioReeqqir4+fnBx8cHUVFRMDQ0xHPPPQcOh4MlS5a08zpaW1tRW1sLHo8HoVAIfX19hUFR1zqUvMVMTk4OhEIhBg0aBEdHRwwYMKDNcfI9XOTGRN5NWBNpwlVVVdi1axf+/PNPzJw5E15eXlrVyfdhyDtg6OvrY9asWVpTn/M48vPzkZqaiuXLl2ssY09jxoWI4OLigjlz5mDfvn2aUKFTpKam4sqVK5g6dapGZwMdITo6us2eHJ999pnGsl5kMhmSkpIQGhqKK1euICEhAQzDwNHREW5ubnBwcEBCQgLOnTsHNpuN559/Hlu3bsXIkSM1oi8AlJWVwdfXFz4+PkhMTISxsTGWLl2KVatWwcnJCU1NTW0aRMoNiqbWDGUymaLFTH19PczMzDB8+HCYmppCIBCAz+dDJpPBwMBAYUzMzMw0usAeERGBrVu3KvYC+uijj7R64Vy+5titWzfMmjVL61OshUIhLly4AGdnZ41119DYNse3b98mW1tbiomJ0ZQKHSYtLY0OHDhA4eHhmlblsdTW1tIrr7xCAMjZ2ZlSUlI0rVI7eDwe+fj4kJubGxkZGREAYrFYZG9vT/v376c7d+4QwzCaVlNBVlYW7d69m+zs7AgA9ejRg1auXElcLpdEIpGm1VMglUqprq6O4uPj6fjx4/Thhx/Svn376OzZs5Sbm0uNjY2aVrEdQqGQPv/8czIyMqIhQ4ZQUFCQplV6LAKBgC5evEhXr17Vqt/+UVy9epWioqI0Jl9jnss333yDs2fPIj4+XmvaWTyMzMxMBAcHY8KECVrTEO7vEBFOnjyJ999/H1KpFAcOHMBrr72mdd9rc3MzvL298eOPPyIvLw8TJkzAihUrIJPJEB4ejujoaIjFYgwdOlSRGODi4qJ2r0sikSjWUB7s51VXV4eQkBBwuVzk5OTAwsICq1evBofDwZw5c9T+fbe0tChCXfI0YUNDQ8UeJ/fu3UNRUREYhsHQoUPh4OCglb2z8vPzsX37doSGhmLFihX4/vvvtXYrYoFAgKioKPTo0QMzZszQ6vTq3Nxc3L59G8uXL9eInhoxLkSEBQsWYPLkydi/f7+6xXeY7OxsBAUFYezYsXBzc9PKVOnMzExs3rwZUVFReP7553Ho0CGt25+ioqICx48fx6+//gqBQIBly5Zh27ZtmDp1apvvtKmpCdevX0dISAiuXLmC/Px86OvrY8aMGW3SnVXxO0ilUoVBEQgEYLFYbRpEPmg4iAi3b99WNNQsKipCv379sHbtWnA4HEybNk1r0oTFYjHy8vKQk5OD5uZm9O/fHw4ODrCystKq+5mIcO7cObz99tsQCAT49NNP8dZbb2nly5vP5yMqKgq9evXCjBkztLY1T0tLC4KDgzF16lSNGGuNGJecnBwsXboUP//8c4frLNRNbm4uAgMD4ejoiMWLF2vVgwjcv3E+//xzfPvttxg2bBi8vLy0op/QgyQnJ8PT0xP+/v7o3r07XnrpJbzxxhsdjgHn5+cr0p2vXbumeDkuWLBAke7clZRWqVSK+vp6RYNI4P/7eXV0h0Miws2bN8HlcsHlclFeXo7BgwcrGmo6OTl16d75e5owESnShM3MzGBqatohQ0ZEKCkpQVZWFmpqatCrVy84ODjA1tZWq16OAoEAH3/8MTw9PTF69GgcO3ZMK7My6+vrER0dDVNTU8yYMUProgRywsPDYWxsjOnTp6tdtkaMy5EjR3Dy5EkkJCRo5cJYQUEB/P39YWdnh6VLl2qdYQkODsb27dtx7949fPjhh9i1a5fWZLBIpVIEBQXB09MT8fHxGDJkCLZs2YKNGzd2KbwlEokQGxur8Gpu374NFouFyZMnY+HChXBzc4Ozs/MTX5QymUxhUBoaGkBEMDExUXQc7spMmWEYxMTEgMvlwtfXF9XV1Rg+fDg8PDzA4XAwevToJ95LD0sT1tPTa7Otb1d/69raWmRlZaG4uBgGBgawtbWFg4ODVi2oJycnY/PmzUhKSsJrr72G/fv3a11Ir66uDjExMTA3N8e0adO00sDk5OQgMzMTy5cvV/skQiPGZdGiRXBwcMChQ4fULfqJFBUVwc/PD8OHD8fy5cu1KkW6tLQUO3bsQEBAABYuXIgff/wRtra2mlYLwP0Zp7w1S0lJCWbOnIlt27Zh0aJFKnnoysvLFd2dw8PDFVlSD6Y7y7eWZhgGDQ0N4PF4qK+vB8Mw6Nmzp6LjsComOFKpFJGRkeByufDz80N9fT0cHR0VhkaeDUcaTBNubm5WtP6Xt5hxdHTUml0ZZTIZTpw4gT179qBbt2749ttv8eKLL2rVZI/H4yEmJga9e/fG1KlTtep9Adz3fC9duoTp06d3eav1zqJ241JUVKR4MWrbAnlxcTHOnTuHIUOGYMWKFVozE5FKpfjhhx/w8ccfo1evXvj++++xbt06rXjICgsLcezYMfzxxx8QiURYs2YNtm3bptZeazKZDDdv3myT7kxEcHBwwNSpUzFhwgSMGTNGsWujpaWlWj09sViMsLAwcLlcBAYGorGxEaNHj8bChQsxY8YM9O3bV5EmLPdQ1LnWIJVKUVBQgOzsbAgEAvTu3RuOjo6wtrbWipflvXv38N577+HMmTOYM2cOvLy84ODgoGm1FNTU1CAuLg59+vTBlClTtOI7e5DQ0FCYmppi6tSp6hWsxsw0IiLy8vKiMWPGUEtLi7pFP5bS0lI6dOgQcblckkqlmlZHQWxsLI0bN45YLBZt376dGhoaNK0SMQxDN27cIA8PD+rRowdZWVnRp59+ShUVFRrXq6GhgZKSkuirr76iJUuWUN++fYnNZlPPnj1pyZIldPToUcrNzVVrurNMJqO6ujoqKCig6Oho+uKLL8jV1VWRij158mQ6fPgwlZWVqU2nh8EwDJWWllJoaCidOnWKfH19KT09XWvSbq9cuUIjRoygbt260YcffkjNzc2aVklBZWUlBQYGUnx8PMlkMk2r04aMjAzy8/NTu15q91xWrFgBa2tr/PDDD+oU+1jKy8tx9uxZDBgwAGvWrNGKBc66ujr897//xU8//QQnJyccP35c4y1yxGIx/Pz8cPToUaSlpcHe3h7btm0Dh8PRaN+lxsZG1NbWoq6uDhKJBEZGRgoPpXv37khPT1e0pomOjoZEIsGwYcMUGWhz585Verrzg2nCAoEADMMo0oTNzc1hamoKoVCIoKAgcLlcXL58GRKJBLNnz4aHhwfWrFmj0fCUvMVMYWEh2Gy2osWMpvc4EQqFOHjwIPbv349Bgwbh6NGjWLRokUZ1klNZWYn4+HgMGjQIkyZN0orIAnA/uy00NBQzZ87EwIED1SZXrcalrKwMLi4u+P7777F48WJ1iX0slZWV8PHxQZ8+fbBu3TqNpz4SEf766y/s3LkTIpEIX331Fd58802Nhuh4PB5++eUXnDhxAlVVVZg/fz62b9+OefPmaewBampqUqQOi8ViRT+v3r17P3ZhuqmpCZGRkYruzoWFhTAwMGiT7jx27NhOX5c8TVi+GC8SiRRpwvJQ1+M66zY0NCAwMBBcLhdhYWEAAFdXV3A4HKxcuVJjW+8KhULcuXMHd+7cgVAohJWVFRwcHNq1mFE3ubm52LZtG8LDw7FmzRocPnwYgwYN0qhOwP20+8TERAwePBgTJ07UGgNz+fJlWFpaqrXRrlqNy6+//orvvvsOiYmJWpGZUl1djTNnzsDS0hLr1q3TeOZaTk4ONm/ejMjISHA4HHz33XcafYizs7Px448/4syZMwCADRs2YOvWrRrbxrmlpUXRz0skEsHAwEDhoTyt55Gfn6/waq5du4aWlhYMGDBAkYE2f/78R3ZKfliacPfu3dt4J08Tf6+trYWfnx+4XC4iIyOhr68Pd3d3eHh4YNmyZRpp5SOTyVBUVITs7GzU19fD3NwcDg4OGDp0qMYmPkQEHx8fvPvuu2hubsZnn32Gbdu2aTzyUFZWhqSkJNjY2GD8+PFaYWDS09NRUFCAZcuWqW1NSK3GZd26dbCwsMDx48fVJfKR1NTU4MyZMzA1NQWHw9FoKm9rayu+/PJLfP3117C2toaXl5fGkh2ICOHh4Th69CiuXr2K/v37480338TLL7/c5Xb0T0Nra6vCQ3mwn1fv3r2VnkUlEokQExOjSHdOT08Hi8WCs7Mz3Nzc4OrqCltbWwgEAjQ0NEAikbRJEzYzM1N619x79+7B19cXXC4XsbGxMDIywpIlS+Dh4YHFixdrJBxZWVmJrKwslJWVwcjICHZ2drCzs9NYx+CGhgZ89NFHOHbsGMaNG4djx45hypQpGtFFTklJCZKTkzFs2LAO7zukSurr6xEWFoY5c+aor8haXYs7lZWVZGtrS/7+/uoS+Uhqa2vp6NGj9Ntvv1Fra6tGdbl8+TINGzaMunXrRp988onG9GlubqZffvmFJkyYQMbGxjR9+nQ6c+aMRhZzhUIhlZWVUVpaGsXFxVFiYiLl5+dTfX29WhfiS0pKyNPTkxYvXkympqbEZrPJ1NSUFi5cSF9//TVlZWWpVZ/i4mL65ptvyMnJiQBQz5496fnnn6cLFy6QUChUmx5y+Hw+xcfH0+nTp+nPP/+k6OhoqqurU7sechITE2nixInEZrNpy5YtVF9frzFdiIju3r1L/v7+dPv2bY3qISc4OJiSkpLUJk9tnsuff/6JL7/8EgkJCR3ed0IV1NfXw9vbG0ZGRtiwYYPGFqLLy8vx9ttv49y5c5g3bx68vLw00gm4oqICJ06cwK+//oqGhgYsXboU27Ztw/Tp09XqzovFYoWH0tTUBDabDXNzc/Tu3fupw0tPg1AoVKybNDQ0KLoJ9+zZE3fv3kV8fDyuXr2KxMREEBHGjBmjWKuZMWOG2jzgvLw8RVeAjIwMmJmZYdWqVfDw8ICrq6taQ0PyFjPZ2dloaWlB//794ejoiEGDBqk9JCSVSuHl5YW9e/eie/fuOHToEDZs2KCx0FRhYSHS0tIwcuRIjBo1SiM6yElLS8Pdu3exbNkytXwfajMuL7zwArp164bffvtNHeIeCp/Ph7e3N/T19bFhwwaNrPtIpVL8+OOP+Oijj2BsbIzDhw9j/fr1ar/5U1NTcfToUfj5+cHIyAibNm3C5s2bMXToULXpIJFIUFdXh9ra2jYNIuX9vNRhUBiGAZ/PV6ydtLa2gsVioVevXoq1k4dt+MXj8RAeHq4IoVVWVsLY2BguLi6KIk51FbhmZGQo+pzl5+ejT58+WLNmDTw8PDBr1iy1GWaGYRQtZmpra2FiYgIHBwcMHz5c7esg5eXlePfdd+Hr6wtXV1f8+OOPsLOzU6sOcvLz85Geng57e3uN1ufweDxcvXoVLi4uaslEVItxqaurw7Rp0/DZZ5/Bw8ND1eIeikAggLe3N9hsNjZs2KCSHQKfRGJiIt58803Ftq9ffvklzMzM1CZfJpMhODgYnp6eiI2NhY2NDTZv3oxNmzapLcVUKpWirq5O0c+LxWLB1NRU0c9LHYvD8jThhoYG8Pn8NmnC8t0YO/MypP81sgwNDUVISAhiY2MhkUgwfPjwNunOqr7niAipqanw8fEBl8tFSUkJBg4ciHXr1sHDwwNTpkxR2ySmpqYGWVlZKCkpgYGBAUaMGAF7e3u1T+hCQkKwbds2lJWVYffu3di9e7dG1oby8vKQkZEBR0dHjRk5IkJwcDCsrKwwYcIEtQhUOT4+PjRy5Eji8XjqENeOxsZGOnHiBB07doz4fL7a5Tc1NdGWLVuIxWLR+PHjKSEhQe06/Prrr+To6EjGxsY0f/58CgwMVGuxqEAgoOzsbIqPj6e4uDjKysqiqqoqkkgkapEvFospLy+PEhMTKSoqimJiYig9PZ3KysqUXownEAjowoULtGXLFho+fDix2WwyNDSkefPmkbe3t1JlPQqGYSg2NpbeeustGjBgAAGgIUOG0AcffKDW372pqYmSkpLozJkz9Mcff9D169fVvrdMS0sL7d27l7p160a2trZ09epVtcqXk52dTf7+/pSbm6sR+UREycnJdOHCBbWsFarMcykrKwNwPwMnPT0d1tbW6Nu3b5tjVBmTLSwsVGQ3NTY2IicnB2PGjGkza1Hl7oGZmZkoLS0FwzCwsrJCz549wWKx2sizsbFR6UyyuLgYPB4P1dXVGDp0KFgsFgwMDNqESaytrVWmg1AoVPy5qakJNTU1MDU1hampqcJDMTQ0VKl8hmEgFArRvXt35OXloWfPnujVq5fi91ClfAC4e/cuiEjxH4vFahemUuV9cPfuXQD3Z63y/6tTflNTE4D7XnNVVRUqKysxZswYGBgYQCAQwMTEBD169FDpbyDfuoH+52E+rI5Jld+BvF8ccP+9KBaLMWzYsDbHGBsbq0W+QCBAcXEx7O3t29T0qUK+yoxLQEAAevbsiYKCAowdOxZxcXF455132gr/28tWmaSmpsLS0lLxEunRo8dDCyRVJf/48eMYMmQI9PT0UFRUBKlUijfeeKONPFVePwD89NNPMDQ0xODBg3H9+nXs2LGjXRhOlTp09NZS5UNVV1eHXr16oamp6ZFFdqr8DRiGeeznUVFRmD17tsp0eJL8/fv3Y8+ePRq5B86cOYP169cDUO1vcPToUejp6UEqlWLs2LEIDw/HZ5991uYYdT4H8kmGnKysLDg6OmrsOSwpKVHJJFNlxoXP56OpqQkDBw4Ei8VCQUEBbt++DYlEgnXr1gFo/yUrm8LCQjAMA5lMhtbWVtTU1GDBggWKz1Up/8GxiQhVVVX46quv2rS9UfX1y4vdgPv1It7e3nBwcGizt4OqdXgYMpkMbDYbBQUFGD58uMrkV1dXo0+fPmCxWGhsbERraytMTU3bZHRp4vofpHv37mhpadGIDkSEQ4cOYefOnRqRf+nSJSxatEjlvwERQSQSgc/no1+/figqKkJISAjefPPNNs+oJr4DhmFw7949xXtSEwQHB6tmzyqVB94eoKqqiq5du6b4uzprBBiGoaKionb/pk54PB4FBARoTD7DMPTiiy+2+zd1c+vWLSouLqa4uDi1yheLxXTr1q02/6aJ63+QwMBAjenw0UcfEcMwapH/MBlisfiRn6mavLw82rt3r+LvmvoNIiMjNSqfYRgSiUQqka/W3tB9+/bF3LlzOxwuUSYsFgtDhgxBQ0OD2mXLsbCwQGhoqMbks1gsnDx5ElKpVGM6AFC0mFd3WqaBgYHGaw0eRCQSYfny5RqTX1ZWpvLZMhFBLBYjJycHAoEAwP31SACKdRdNYGtrqxWt8TXVSgm47zXdvn1bZW2vNPLtHjlyRBNiAQCnT59us8Clbry8vBAXF6cx+Ww2G0uWLNGIgZfTv39/DBgwQCPFtPr6+uDz+Rq9fuB+8aqm0vKB++UB6qg5u3PnDoqLi2Fra4vIyEg0Njbi1q1bis8vX76sch0exSeffKIx4wYAVVVV6mvF8hBSU1NVWtemEePi5eWlCbEAgPXr16OwsBA1NTUakc9isfDyyy9rRLacV199Fb/++itkMpnaZfN4PI038svNzUVpaSlaW1s1Ip/+13Dxl19+0Yh84H7HZXX8Dra2trC1tYWBgQHc3Nxw/fr1Nn3zxGKxynV4FCwWS6PbWKSnp2tMtkgkwvjx41Va36YR4+Lm5qYJsQDuh6bGjBmDU6dOaUyHhIQEjT5Ua9aswQsvvIDVq1erVa5IJMK9e/fUKvNhjBs3Dn379kVaWppG5H/22Wd455130Lt3b43I//3333Hp0iW1yNLX11cYMUNDQyxcuBB9+vSBSCQCAI13Ij948OATM+pUgUAgwNy5c9Ui68FJJP0vJf7GjRsqL1jWWFhM02GJiRMnaky2iYkJXF1dNSYfAIyMjFT+UNXU1EAikYCIUF9fj6amJjg6OqpUZkfo1q0bjIyM1BKSkG8W1traCiJCYGDgU+0X87RIJBLIZDLIZDIQEbKzszFgwAC1bhr1IHJjcvHiRQDQ+EZfK1euVKRDq4r6+nrF9y8UCsHj8VBSUqK2ljg5OTmKUHBubi7y8/Mxe/ZslctVWSpyS0uL4s8Mw4CI2lhKb29vvPLKKyp7yP7uGTQ3N7drPWFgYKCWwiXg/3PN5fISExMxd+5clb5kHtSBHpJqKZPJlN62/kFaW1tRX1+vqCEwMTFp19iRzWarTP7fw35CobBd6w9VygeAEydOQCaTgc/nQ19fH05OTu3awauygO6bb75RzFaNjIzA5/Oxc+dOtcmXSCRt/t7a2oru3bsjKCgIS5cuBdDWu1EFT3oOYmJisGDBApXpcO/ePQgEAsW9ZmRkhP79+7c5Rk9PT6W/QUlJCRobG+Hg4IDW1tZ2rYhUIV9lxoXH47X5c1NTE8zNzRUvs9bWVpVW6D94Q9XV1SE9PR0ODg5tugSo8qGqrq5u83eGYdoVaslrMFTFgzrIwxB/f7mrUgf5i4VhGFRWVqKhoQEjR45sM2NT5YtFPsGQy6+trYWNjU2bRAJVTjCAtr9BU1MTunfv3s6gqfI3qK6uVkxsWlpa0L17d7Xehw+ua/H5fGRkZGD8+PEwMjJSTDaNjIzU9hs87DkEVPsdyJ89sViM3NxcAMDo0aPbHNOtWzeVd8pobm5GSUkJ+Hw+Jk6c2CYkqZJOFUpPbn4I9fX19OGHH5KtrS2tWrWKMjMz1SFWAcMwdPHiRTp48CDl5OSoVbacxYsX08yZMzUiu7GxkczNzenIkSMakV9UVERxcXFUVVWldtk1NTWUkJBAsbGxVFZWptG6loyMDJozZw6x2Wx68cUXqbKyUq3yeTwejRs3jvr166eR50Amk9GZM2coNTVV7bKJiMLCwojFYql1TxM5EomEIiMjKSgoSO37zMhkMsrMzCRfX18KCgqi8vJytchVy5qLmZkZvvjiC/j4+EAkEmHlypX48ssv1ZYSzGKx8Nxzz8HBwQEXLlxAfn6+WuQ+yOrVqxETE4PKykq1yw4JCYFIJMKyZcvULrukpASVlZUYOnRou95yqkQoFCIzMxM5OTno1asXJk6cqJH9RR5k1KhRuHbtGn777TeEhITA0dERJ06cUNuCsoWFBcLDw9G7d2+4urqq/Tlgs9kYPHgwiouL1SpXjr+/P4YMGaL29VaZTIa4uDgIBALMmDFDrZ3Qq6urERoaiszMTIwcORLPPfec2tbb1Lqg7+TkhMDAQLz//vvgcrlYuHAhQkJC1LK4z2KxsHjxYowYMQKBgYEoLCxUucwHke9dHRAQoFa5AHD+/HmMHz8eQ4YMUavc0tJSVFRUYMiQIWrL52cYBqWlpUhJSUFLSwscHR3h4OCg0W2sH4TFYmHTpk3Izs7G6tWrsWXLFsycObNN7Ycq6d27N65evYpevXrB1dVV0dhSXVhbW4PP54PP56tVrkwmQ0BAAFatWqXWCYZMJkN8fDzq6+sxY8YMRTsmVSMUCpGQkIDIyEgYGRlh4cKFGDt2rFq2tJCj9mwxfX19vPrqqwgJCcG4ceOwfft2vPbaaygtLVW5bDabjWXLlmHo0KHw9/dX64NlaWkJFxcX+Pn5qU0mcD/mHRoaihUrVqhVbnl5OcrLy2Ftbd1u8VJV8Pl8pKamKvYxmThxIiwsLNQiu7NYWlrip59+wo0bN9Dc3IzJkydj586daGxsVLnsfv364erVq+jWrRtcXV3V8uzJGThwIPT19dXuvcTGxqKqqgqrVq1Sm0yGYZCYmAgej4fp06er5V4kIhQUFODy5cu4d+8enJ2d4eLiopGCZY31Pxg4cCC8vLxw/Phx5OXl4bnnnoOXl5fK6z/YbDZWrFgBGxsb+Pn5qfXBWr16NSIjI9skO6ia8PBwNDc3q9W4VFRUoLS0FIMHD1aLCy6RSJCbm4v09HQYGBhgwoQJio7U2s6MGTOQlJSE/fv346effsKoUaPg7++vcm9+0KBBiIiIABHB1dUVFRUVKpUnR09PD1ZWVigpKVGLPDn+/v4YOHAgpk6dqhZ5csNSXV2NqVOnqqWmqaGhAREREUhOToaVlRUWLVqk9mjFg2i8uc68efMQEhKCjRs34ocffsDSpUuRkJCgUpl6enpYuXIlrKys4Ovri/LycpXKk7Ny5UowDIPz58+rRR4ABAYGwtHRESNGjFCLvMrKSpSUlGDQoEGPbHGvbHnJycmoq6vDiBEjMHbsWBgbG6tcrjIxMDDAe++9h4yMDDg5OWHt2rVYunQpioqKVCrX2toaEREREAqFmDdvHqqqqlQqT46NjQ3q6urU4qUB92fz/v7+WLVqlVr6iRERkpKSUFVVhalTp6p8rVEqleLWrVsICwuDVCqFq6srJk+erPECVY0bF+B+2/Fdu3bhwoULMDc3xwsvvIBdu3apdIavr6+PVatWoX///vD19VVL5Xi/fv0wa9YstYXGxGIxLl26pDavpaqqCnfv3sXAgQMxePBglcpqbm5GWloa8vPzYWlpiUmTJmm0T5MysLGxQUBAAAICApCRkYHRo0fjwIEDKvXmhw4dimvXroHP52P+/Pmora1VmSw5gwYNgp6entq8l5s3b6K0tFQtITEiQnJyMioqKuDs7Kzye7KsrAyXL19W7Ju1YMECjXV+aIdactI6gUwmI19fX3JyciInJyc6c+YMyWQylckTiUT0559/0uHDh9WSGnrkyBEyMDCghoYGlcsKDQ0lY2NjysjIULmsqqoqiouLa7etgbKRSqVUWFhI0dHRlJycrJFtq9VBY2Mj7dq1iwwMDGjUqFGK1uyqIjs7m/r27Uvjx4+nuro6lcoiIrp27RpdvHhR5XKIiD744APq27evyrd3ZhiGkpKSKCAggMrKylQqq6mpiW7cuEFcLpeioqKUvlW3MtAKz+VB2Gw21qxZg7CwMMyfPx979+4Fh8NBTk6OSuR169YNa9euhYWFBbhcrsobWq5atQoSiQTBwcEqlQPcD4nZ2tqqvOVKbW0tCgsL0a9fP5XGeHk8HpKTk3Hv3j3Y2NhgwoQJKm28p0l69uyJgwcPIjk5Gebm5nB1dcVLL72ksvvT3t4eV69eRWlpKdzc3FSezWVtbY3a2to2nTxUARHBz88PK1asUPka3K1bt1BSUgInJyeVhYQZhkF2djZCQkLA5/MxY8YMzJw5UytDwVpnXOSYm5vjwIED8Pb2RmNjI1asWIEDBw6o5GY0NDTEunXrYGJiAh8fH5WG46ysrDBlyhSVh8akUimCgoKwfPlylaZe8ng85Ofno2/fvipr3y0UCpGVlYXs7Gz07NkTEydOhJWVlca7K6uDMWPG4Pr16/j5558RHBwMBwcH/PrrryqpjRk9ejTCwsIUCTaqXBOxsrICm81WedbY7du3UVBQoPKQWFpaGu7evQsnJyeVhYRrampw5coVZGRkwNbWFu7u7mpZ13xqNO06dQSxWEwnTpyg0aNH08yZMyk0NFQlldYtLS3066+/kqenp0pDA19//TV1796dmpqaVCYjMjKSjI2NKTk5WWUyeDwexcfHU15enkp+D4ZhqLS0lGJiYigxMZFqa2uVLuNZorq6ml566SVis9k0Y8YMSktLU4mcxMREMjExodmzZ6v0Hg0PD6eQkBCVjU9E9PHHH5O5uTmJRCKVyUhPTyd/f3+VhYSFQiElJCQQl8ulq1evqiWkrgy01nN5EAMDA7z++usICQmBvb09tm7dijfeeEPpWV7du3cHh8OBoaEhzpw5o7LQwOrVq9Ha2qrSjZICAwNhbW2NCRMmqGT8+vp65OXlwcLCAsOHD1e6FyGvWSkuLsaAAQMwceJEWFpaKlXGs0afPn3w22+/ISIiAg0NDZg0aRJ27dqFpqYmpcqZPHkyQkJCkJKSguXLl6ts3xsbGxtUVVUpel+pAj8/PyxbtkxlmVNZWVnIy8vDuHHjlB4SJiIUFhbi8uXLqKiowOTJkzVWs/JUaNq6dRaGYSg0NJRmzpxJo0ePphMnTpBEIlGqjMbGRjpx4gR5eXmpbMF4/Pjx5OHhoZKxZTIZDR06lD744AOVjN/Q0EDx8fF0584dpXssYrGYcnNzKSoqim7duqXSmfOzjEgkogMHDlCPHj3IxsaGzp8/r3QZ169fJ2NjY3J3dyehUKj08YVCIf3xxx90584dpY9NRJSVlUUsFksl3w3R/SQIf39/ysvLU/rY9fX1FB4eTlwulxISElTy/auaZ8JzeRAWi4WFCxciNDQUzz//PL777jssW7YMSUlJSpPRs2dPrF+/HiwWC2fOnFFJ7Hn16tW4ePGiSmZt8fHxqKqqUsn+7AKBAHfu3IGZmRlGjBihVI9FXrPC4/Fga2uLcePGtdsmQcd9unXrhg8++ADp6ekYPXo0Vq5cieXLlyt1DWP27Nm4cOECIiMjsW7dOqWnRBsaGqJ///4qW3fx8/NDz5492+x8qSxyc3ORnZ2NUaNGwdbWVmnjSqVSpKWlISwsDBKJBC4uLnB2dtaa9kWd4ZkzLnKMjY2xe/duBAYGokePHli/fj12796N+vp6pYzfq1cvrF+/HgzDwMfHR+lNNlevXo2mpiZcuXJFqeMC93uJ9e/fv92+IV2lsbFR0QhSmYalubkZt2/fRn5+PiwsLODk5KS2ljHPOkOHDkVQUBDOnTuH1NRUjB49Gt988027fVSelnnz5iEgIAAhISHYsGEDpFKpUsaVY21tjcrKSkVbemXi7++PxYsXt9vDp6vk5+cjMzMT9vb2GDlypNLGLS8vR0hICPLz8zFmzBjFrp3PLJp2nZSBvJW3vDbG19dXabUx9fX15OnpSb/88ovSc8kdHBxo48aNSh2TYRiys7Ojt99+W6njNjY2UmJiImVmZirtu5VKpVRUVKSoWXlWFiq1FYFAQDt37iQDAwMaM2YMRUVFKW3sCxcukL6+PnE4HKXWi7S0tNCpU6eUHloqKCggFotFZ8+eVfq4/v7+Sq0da25upqioKOJyuXTjxo1/TCj4H2Fc5NTW1tL7779Ptra2xOFwlBbL5fF4dPToUfrtt9+otbVVKWMSEX300UdkZmam1EyWpKQkMjY2VmrRXVNTEyUmJlJGRobSDEttbS0lJiZSTEwMlZaWanSflX8aqampNG3aNGKz2fTKK69QTU2NUsY9d+4c6enp0aZNm5Ra2Hz58mW6evWq0sYj+v+MzMbGRqWNWVRURP7+/nT79m2ljCeTySg7O5vOnTtHFy5coNLSUqWMqy38o4yLnLi4OFqwYAHZ2dnRwYMHqaWlpctj1tTU0JEjR+jkyZNKW1xLTU0lAEpNx/zoo4/IyspKaUkOzc3NdPPmTUpPT1fKjFUoFFJmZiZFRUVRRkaGUo21jv9HJpPRiRMnyMLCgvr06UO///67UgzCmTNniM1m02uvvaY0A5OVlUV//vknicVipYxHRDR16lRauXKl0sYrLi4mf39/unXrllLGq6mpoZCQEDp79iylpqYqPSlJG/hHGhei+9k0P/74I40aNYpmz56tlJlRVVUVff/99/THH38oxdtgGIaGDRtGr732WpfHko83ZswY2rx5s1LGa2lpoZs3b9Lt27e7fPM/WLOSkJCgtNm0jsdTWVlJGzduJDabTXPmzFFKOOfUqVPEYrFo69atSvE4m5qa6NSpU1RYWNjlsYiISktLicVi0Z9//qm08QICAiglJaXL1ysUCikxMZG4XC6Fh4erfVdKdfKPNS5yiouL6eWXXyZbW1vavHlzl7f4vHfvHh0+fJj++usvpcy03n//ferTp49SvIL09HQyNjam0NDQLo/V0tJCSUlJlJaW1mXDwufzKTk5maKioqigoEDlPZ50tCciIoIcHByoW7dutHv37i7H9X/++WcCQO+8845SDMzFixfp2rVrXR6H6H7/vm7duinlxV1eXk4BAQGUlJTUpetkGIYKCwspICCA/P39KT8//x8fCv7HGxei+z/s5cuXafr06TRmzBj6+eefu/TCLC8vp++++468vb27bGDi4+MJgFIerM8//5z69+/fZa+qtbWVkpOT6datW126PolE0qZmRZnxbx2dRygU0hdffEHGxsY0dOhQCg4O7tJ4np6eBIB2797d5Rdleno6/fXXX0oJD82ZM4cWLVrU5XEqKiooICCAEhMTu3R9DQ0NFBERQVwul+Lj4/81oeB/hXGR09jYSJ9//jmNHDmSFi9e3KXWKKWlpXTo0CHicrldeiAYhqHBgwfTtm3bnnoMOU5OTvTKK690aQyhUKgUw1JZWUlxcXEUFxdH9+7d+8fP0p4l8vPzyd3dndhsNq1atYpKSkqeeqzvvvuOANAnn3zSJZ0EAgGdOnWK7t6926VxKisric1m06+//trlcQIDAyk+Pv6p712JREJpaWl09uxZunTpElVVVXVJp2eNf5VxkZORkUGrVq0iW1tb2rNnz1O7z8XFxfTtt9+Sr69vl0I9O3bsoIEDB3ZpgTQ3N5eMjY0pKCjoqccQiUSUkpJCqampT+39NDc3U1paGkVFRdGdO3eUukirQ3kwDEO+vr40aNAg6tWrFx06dOipf6sDBw4QAPrqq6+6pNOFCxfoxo0bXRrj+PHjpK+v36U+dNXV1RQYGEhxcXFP/UyWl5dTUFAQ+fr6KjV9/1niX2lciO7XWJw+fZomTJhAkydPJj8/v6eaoRQWFtI333xD/v7+T30D3bhxgwBQbGzsU51PdD/1sk+fPk+dGScWiyk1NZVSUlKeKhtOJpMpalaSkpL+0QuV/yT4fD7t2LGD9PX1afz48U99D+7bt48A0KFDh55al7S0NPL29u7SRG3hwoU0f/78pz6/pqaGzp8/TzExMU/1PDc3N1N0dDRxuVy6fv36vzoU/K81LnKqq6vpnXfeIVtbW9qwYQPl5+d3eoz8/Hz6+uuv6fz58091Q0qlUurXrx/t3Lmz0+fKmT59Or344otPda5YLKZbt25RcnLyUxkWHo9HN2/epJiYGCopKflXztKedZKTk8nZ2ZnYbDa9/vrrxOPxOnU+wzC0Z88eAkBHjx59Kh0aGhro1KlTT13vwePxyMDAgLy8vJ76/AsXLlB0dHSnDZxMJqOcnBzy8/Oj8+fPdynU+E/hX29c5MTExND8+fPJ3t6evv322057AHfu3KGDBw9SUFDQU3lAb775Jg0ZMuSpzi0qKiJjY2M6d+5cp8+Vx4WTkpI6vdAoFAopKyuLoqKiKD09/V+zUPlPRSqVkpeXF5mZmVG/fv3ojz/+6NT9yDAM7dy5kwDQiRMnnkqHwMBAio6Ofqpzf//9d2Kz2XTv3r1On1tXV6cIy3XWsNTW1lJoaCidPXuWUlJSdKHg/6EzLg8gFArphx9+IEdHR5ozZ06nM7iys7Pp4MGDdOnSpU4bibCwMALwVEkGR44cIQsLi0674BKJhG7fvk1JSUmdMqYMw1BZWRnFxsbqalb+gVRUVNCGDRuIzWaTi4sLZWVldfhchmFo+/btBIB+//33TstOSUl56q3Nly5dSrNmzer0efX19RQUFESRkZGdSs4RiUR08+ZN4nK5FBYWppbtoZ8ldMblIRQVFdGmTZvI1taWtm7d2qmZUEZGBh04cKDTtSZisZgsLCxoz549nVWXXFxcaN26dZ06RyqVUnp6Ot28ebNTPdMEAgGlpKQoalb+iZXFOu4THh5OdnZ2ZGhoSB9++GGH7xOGYeiNN94gFotFp0+f7pRMHo9Hp06dooqKik6dx+fzydDQkA4fPtzp84KDg+natWud8jiKioooMDBQ0XJflw3ZHp1xeQQMw1BQUBBNmzaNxo4dS7/99luH3eW0tDQ6cOAAhYeHd0rmSy+9RHZ2dp26UcvLy8nY2Ji8vb07fI5UKqWMjAy6efNmh4vpJBIJ5eXlUVRUFKWmpv6rFyr/TbS2ttK+ffvIyMiIhg8fTpcuXerQeTKZjF566SXS09MjX1/fTsn08/OjuLi4Tp3j7e1NLBaLiouLO3yOQCCgixcvUkRERIcNC5/Pp2vXrhGXy6W4uDhdKPgx6IzLExAIBLRv3z4aMWIELVmypMO9hVJSUujAgQOdCq0FBwcTgE616Dh27BiZmpp2uKOwTCajzMxMSkxM7LCBqKqqovj4eIqNjaWKigrdLO1fyJ07d2jBggXEZrNp7dq1VFZW9sRzpFIpPf/886Svr0+BgYEdlpWUlERcLrdT99maNWvI2dm5w8c3NjbSpUuXKDw8vENp91KplG7fvk2+vr508eJFqqys7LCsfyvP7H4u6qJXr174+OOP4efnBz09PaxduxYff/zxE7dAnjBhAubPn4+EhARERUV1SNb8+fNhYmKCc+fOdVi/wMBAzJ07t0NbnzIMgzt37qCpqQn29vbo2bPnY49vbW1Feno6cnNzYWZmBicnJwwYMEDpWxrr0H5GjhyJ0NBQeHt7Izo6Go6Ojjhy5Mhj93fR09PDyZMnsXLlSqxduxaXLl3qkCxra2sIhUJUV1d36Pjm5mZcunQJq1at6tDxLS0tiI6OhoGBAWbOnPnELZDv3buHkJAQ3LlzBw4ODnBzc0O/fv06JOtfjaat27OEVCqlU6dO0bhx42jKlCkUGBj4xNlVfHw8HThwgGJiYjokY8OGDTRmzJgOHVtdXU09e/bs0MKpvL13QkLCE7dulslkdPfuXYqOjqabN2/qalZ0tKG+vp62bdtGenp6NHHiRIqPj3/s8WKxmJYvX06GhoZ05cqVJ44vL/BMSEjokD7nzp0jFovVoT1hmpubKSQkhEJDQ58Y0mppaaGYmBjicrkUGRlJAoGgQ/rouI/Oc+kEenp62LhxI65cuYIpU6bgvffew8aNG1FUVPTIc6ZMmYLZs2cjKioKCQkJT5SxevVqpKenIy8v74nHBgUFAQCWLFny2OOICHl5eRAIBLCzs4OJickjj62vr0dKSgrKysowePBgTJw4EWZmZk/URce/BzMzMxw9ehRxcXFgsViYMWMGtm7dioaGhoceb2BgAC6Xi3nz5mH58uW4fv36Y8dnsViwtrZGSUkJiOiJ+vj7+2Ps2LFP3G64tbUV0dHRAIBZs2Y9codKIkJubi4uX76M2tpaTJ06FXPmzEGvXr2eqIuO/0dnXJ6Cvn374siRI/jtt99QUVGBxYsX4/DhwxAKhQ89ftq0aZg+fToiIyORlJT02LHd3d1hbGwMPz+/J+oRGBiImTNnonfv3o88Rm5YGhoaMHLkyEeGz8RiMXJycpCZmQkjIyNMnDgR1tbWYLN1t4iOhzN58mTEx8fj8OHDOH36NBwcHODt7f1Qg2BoaAg/Pz/MnDkTixcvRkxMzGPHtrGxQUtLC2prax97nEgkQnBw8BNDYkKhENHR0SAizJo1C927d3/ocTweD2FhYbh16xaGDBmC5557DtbW1o8dW8cj0KTb9E+gtbWVDh8+TPb29uTi4vLY3kjXrl2jAwcOUEpKymPHXL16NU2aNOmxx9TX15OJiQkdP378kccwDEN5eXkUHx//yBx8hmGovLycYmNjKT4+nqqrqx8rV4eOh1FeXk4eHh7EZrNp3rx5lJOT89Djmpubae7cudSrV6/Hhr0YhiEul0tJSUmPlRsUFEQsFuuxSTBCoZDCw8Pp0qVLj8yOFIvFikSCK1eudLpDgY726KalXcTIyAhvv/02Ll68iEGDBuHll1/Gjh07HroYOXfuXEyaNAlXrlzB7du3Hznm6tWrkZSUhOLi4kcec/HiRUilUixbtuyRxxQWFoLH42HEiBEwNzdv93ljYyPS0tJQWFiIvn37wsnJCX369HnCFevQ0Z6BAwfCx8cHly5dQnFxMcaPH49PP/20nTdvbGyMoKAgjB07Fm5ubkhJSXnoePLQ2OOeAeB+SMzOzg6Ojo4P/VwsFiMmJgYikQizZs1Cjx492h1TXFys0FueiGNhYdHBK9fxSDRt3f5JMAxD58+fpylTptC4cePo1KlTD62NCQ0NpQMHDjxytsXn86lbt2703XffPVLWmjVryNXV9ZGfFxQUUFxc3EOr5yUSCeXn5ytqVnQLlTqUSUtLC+3du5cMDQ1pxIgRDy0o5vP55OzsTBYWFpSWlvbQccrLy+nUqVOP9CLkhccffvjhIz+PiIig4ODghyaxCAQCRc1KbGysUrZD1/H/6DwXJcJisbBs2TKEhoZi2bJl+OKLL7B69ep2XsqCBQswduxYXLx4EdnZ2e3GMTExgZub2yPXXZqamnD16lWsWLHioZ8XFRWhuroaw4cPb7ceU1NTg+TkZFRXV2PYsGEYN26cbqFSh1Lp3r07PvvsM9y6dQuDBw/Gc889h/Xr16OiokJxjImJCUJCQmBjY4P58+cjKyur3Tj9+/dHt27dHum9REZGor6+HqtXr273mVQqRWxsLJqbmzFz5sw2SSwymQwZGRkIDQ1Fc3MzZs+ejWnTpj1yHUbH06EzLirA1NQUn332Gc6ePQuZTIY1a9Zg3759aGxsBHDfCLm7u8PR0RFBQUHIzc1tN8bq1asRGxuLe/futfvs8uXLEIlEWL58ebvPiouLUVVVhWHDhrUJcbW2tiIjIwN37tyBqakpnJycMHDgQF3Nig6VYW9vj/DwcPzxxx+4du0aRo0ahR9//BEymQwAYG5ujrCwMPTv3x/z5s1r9xyw2WwMHjwYJSUlDx3f398fQ4cOxfjx49v8u0wmQ2xsLBobGzFz5sw2SSyVlZUIDQ1FTk4O7O3t4e7ujv79+yv3wnUA0BkXlTJ+/HgEBgZiz5498Pf3h5ubG4KDg0FEYLFYWLRoEezt7XH+/HkUFBS0OXfZsmXQ09NDQEBAu3HPnz+vyOZ6kNLSUty7dw9Dhw5F3759AdwvnCwpKUFKSgqEQiFGjRoFe3v7JxaO6dChDFgsFp5//nlkZ2eDw+Fgx44dmDZtmiJr0tLSEuHh4bCwsICrqysKCwvbnG9jYwM+n9+uaFkmkyEgIACrV69uM0GSyWSIi4sDn8/H9OnTFWn0ra2tiIuLw40bN2BsbAw3NzeMHj0aenp6qv0C/sXojIuK0dPTw3/+8x+EhoZi4sSJeOedd/Cf//wHd+/eBZvNxpIlS2Bra4uAgIA29TLm5uZwdXVtFxpraWlBaGhou5BYWVkZysvLYWNjo6gebmhoQEpKCkpLS2FlZYWJEyc+dGFfhw5VY25ujmPHjiE6OhpSqRRTp07FW2+9BT6fj759+yI8PBzGxsZwdXVtEwYbMGAADAwM2oXGYmJiUF1d3SYFWSaTISEhAXV1dZg+fTosLCxARMjPz0dISAiqq6sxZcoUzJ07VxcKVgM646Im+vfvD09PT/z8888oLi7G4sWLcfToUUgkEixbtgxDhgyBv79/m4do9erVuH79eptc//DwcLS0tLQJiZWXl6OsrAzW1tYYMGAAxGIx7ty5g4yMDBgaGmLChAmwsbHR1azo0DhTp05FYmIivv32W5w8eRKOjo7gcrno378/IiIioKenB1dXV5SXlwO4PzmzsrJqZ1z8/f0xaNAgODs7A7jvoScmJqK2thbTpk2DpaUl6urqEB4ejpSUFFhbW+O5556DjY2N2q/534rubaNm5s6di8uXL+OVV16Bl5cXlixZgoSEBKxYsQKDBw+Gn58fysrKAAArVqwAEeH8+fOK8wMDAzFq1ChFNfK9e/cUnsmAAQNw7949JCcnK4omx4wZA2NjY41cqw4dD0NfXx9vv/02MjMzMW3aNGzYsAHu7u5obW1FREQEpFIpXF1dFeuN1tbWqK+vV6xZMgwDf39/rFq1Cmw2GwzD4ObNmwrPxMzMDCkpKQgPDwcRYd68eXByctKFgtWMzrhogO7du+Pdd99FUFAQ+vTpg02bNuH999/HrFmzMHDgQPj6+qKiogJ9+/bFrFmz4OfnBx6Ph8zMTFy8eFEREqusrERxcTEGDRoEMzMzpKWloaCgAH369IGTk5Ni3UWHDm1k8ODBOHfuHIKCgpCfn49x48bhjz/+wOXLl9Hc3Iz58+ejpqYGgwYNgp6eHkpKSsDj8eDv74+ysjKsWrUKRITk5GRUVlZiypQpEIlEuHz5Mu7evYvx48djwYIFsLS01PSl/ithEXWgeY8OlUFECAgIwIEDByCVSrFjxw6w2WzweDxwOBzs27cPJ06caNNSY8qUKXj77bcxZMgQ9OnTBywWCxUVFejRowdsbW118WQdzxwtLS348ssv8e2332LYsGHYvXs3du/ejb59+yIiIgK//PILzpw5g7S0NMU5Li4uWLlyJQYPHoxRo0ahoqICVVVVsLKywvjx43Ueu4bRGRctoaGhAd9++y24XC5Gjx4NZ2dnxMTE4OLFi+2OZbFYICJs27YNL774ImQyGaytrXWpxTqeeTIzM7F161ZERUVh0aJFiIuLg6GhISoqKhT3vRx5SOzVV1+Fm5uboifewIEDNXgFOuTojIuWkZycjE8++QSpqaltis4exYkTJ7Bp0yYYGhqqQTsdOlQPEeGPP/7Arl270NjYiNbW1iee4+Xlhddff12XWqxF6IyLFiKVSjFmzBjk5OQ89jg2mw1XV1eEhYWpSTMdOtQHj8fD2LFjnzjJ0j0H2onOuGghPB7vsW30/05tba1u0VLHPw7dc/Bso8sW00Lq6+tVerwOHc8Cuufg2UZnXLSQzlbR66rudfwT0T0HzzY646KFWFpaYt68eU9cnNTT08P8+fN1oQAd/0h0z8Gzjc64aCnvvfeeonvso5DJZNi5c6eaNNKhQ/3onoNnF51x0VLc3d3x1VdfAUC7mZv87/v374e7u7vaddOhQ13onoNnF122mJYTEhKCQ4cOITw8XPFv8+fPx86dO3UPlI5/Dbrn4NlDZ1yeEXg8Hurr62Fubq6LLev416J7Dp4ddMZFhw4dOnQoHd2aiw4dOnToUDo646JDhw4dOpSOzrjo0KFDhw6lozMuOnTo0KFD6eiMiw4dOnToUDo646JDhw4dOpSOzrjo0KFDhw6lozMuOnTo0KFD6eiMiw4dOnToUDo646JDhw4dOpSOzrjo0KFDhw6lozMuOnTo0KFD6eiMiw4dOnToUDo646JDhw4dOpSOzrjo0KFDhw6lozMuOnTo0KFD6eiMiw4dOnToUDr/B+inNdnhj50uAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<Figure size 500x800 with 115 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"model = KAN(width=[2,[2,2],[1,3],[3,2],[1,1]], mult_arity=2)\n",
|
|
"model(x)\n",
|
|
"model.plot()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "79f8150d",
|
|
"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
|
|
}
|