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Last active July 25, 2023 10:51
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Timeseries models derived from generative graph"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import arviz as az\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pymc as pm\n",
"import pytensor\n",
"import pytensor.tensor as pt\n",
"\n",
"from pymc.pytensorf import collect_default_updates"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"az.style.use(\"arviz-darkgrid\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Defining AR2 model in PyMC with Scan"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"seed = sum(map(ord, \"PyMC+AR(2)\"))\n",
"rng = np.random.default_rng(seed)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"lags = 2\n",
"trials = 100\n",
"\n",
"def ar_dist(ar_init, rho, sigma, size):\n",
" \n",
" def ar_step(x_tm2, x_tm1, rho, sigma):\n",
" mu = x_tm1 * rho[0] + x_tm2 * rho[1]\n",
" x = mu + pm.Normal.dist(sigma=sigma)\n",
" return x, collect_default_updates([x])\n",
" \n",
" ar_innov, _ = pytensor.scan(\n",
" fn=ar_step,\n",
" outputs_info=[{\"initial\": ar_init, \"taps\":range(-lags, 0)}],\n",
" non_sequences=[rho, sigma],\n",
" n_steps=trials-lags,\n",
" strict=True,\n",
" )\n",
" \n",
" return ar_innov\n",
"\n",
"coords = {\n",
" \"lags\": range(-lags, 0),\n",
" \"steps\": range(trials - lags),\n",
" \"trials\": range(trials),\n",
"}\n",
"with pm.Model(coords=coords, check_bounds=False) as m:\n",
" \n",
" rho = pm.Normal(\"rho\", mu=0, sigma=0.2, dims=(\"lags\",))\n",
" sigma = pm.HalfNormal(\"sigma\", sigma=.2)\n",
" \n",
" ar_init_obs = pm.MutableData(\"ar_init_obs\", np.zeros(lags), dims=(\"lags\",))\n",
" ar_init = pm.Normal(\"ar_init\", observed=ar_init_obs, dims=(\"lags\",))\n",
"\n",
" ar_innov_obs = pm.MutableData(\"ar_innov_obs\", np.zeros(trials-lags), dims=(\"steps\",))\n",
" ar_innov = pm.CustomDist(\n",
" \"ar_dist\",\n",
" ar_init,\n",
" rho, \n",
" sigma,\n",
" dist=ar_dist,\n",
" observed=ar_innov_obs,\n",
" dims=(\"steps\",)\n",
" )\n",
" \n",
" ar = pm.Deterministic(\"ar\", pt.concatenate([ar_init, ar_innov], axis=-1), dims=(\"trials\",))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
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"<!-- Generated by graphviz version 3.0.0 (20220315.2325)\n",
" -->\n",
"<!-- Pages: 1 -->\n",
"<svg width=\"499pt\" height=\"338pt\"\n",
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"<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 333.93)\">\n",
"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-333.93 495,-333.93 495,4 -4,4\"/>\n",
"<g id=\"clust1\" class=\"cluster\">\n",
"<title>clusterlags (2)</title>\n",
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"<text text-anchor=\"middle\" x=\"204\" y=\"-115.8\" font-family=\"Times,serif\" font-size=\"14.00\">lags (2)</text>\n",
"</g>\n",
"<g id=\"clust2\" class=\"cluster\">\n",
"<title>clustersteps (98)</title>\n",
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"<text text-anchor=\"middle\" x=\"439\" y=\"-15.8\" font-family=\"Times,serif\" font-size=\"14.00\">steps (98)</text>\n",
"</g>\n",
"<g id=\"clust3\" class=\"cluster\">\n",
"<title>clustertrials (100)</title>\n",
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"<text text-anchor=\"middle\" x=\"186\" y=\"-15.8\" font-family=\"Times,serif\" font-size=\"14.00\">trials (100)</text>\n",
"</g>\n",
"<!-- ar_init_obs -->\n",
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"<title>ar_init_obs</title>\n",
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"<text text-anchor=\"middle\" x=\"71\" y=\"-161.8\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
"<text text-anchor=\"middle\" x=\"71\" y=\"-146.8\" font-family=\"Times,serif\" font-size=\"14.00\">MutableData</text>\n",
"</g>\n",
"<!-- rho -->\n",
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"<title>rho</title>\n",
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"<text text-anchor=\"middle\" x=\"182\" y=\"-272.75\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
"<text text-anchor=\"middle\" x=\"182\" y=\"-257.75\" font-family=\"Times,serif\" font-size=\"14.00\">Normal</text>\n",
"</g>\n",
"<!-- ar_dist -->\n",
"<g id=\"node5\" class=\"node\">\n",
"<title>ar_dist</title>\n",
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"<text text-anchor=\"middle\" x=\"365\" y=\"-146.8\" font-family=\"Times,serif\" font-size=\"14.00\">CustomDist_ar_dist</text>\n",
"</g>\n",
"<!-- rho&#45;&gt;ar_dist -->\n",
"<g id=\"edge4\" class=\"edge\">\n",
"<title>rho&#45;&gt;ar_dist</title>\n",
"<path fill=\"none\" stroke=\"black\" d=\"M220.36,-252.61C244.2,-238.42 275.39,-219.85 302.7,-203.59\"/>\n",
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"</g>\n",
"<!-- ar_init -->\n",
"<g id=\"node3\" class=\"node\">\n",
"<title>ar_init</title>\n",
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"<text text-anchor=\"middle\" x=\"65\" y=\"-287.75\" font-family=\"Times,serif\" font-size=\"14.00\">ar_init</text>\n",
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"<text text-anchor=\"middle\" x=\"65\" y=\"-257.75\" font-family=\"Times,serif\" font-size=\"14.00\">Normal</text>\n",
"</g>\n",
"<!-- ar_init&#45;&gt;ar_init_obs -->\n",
"<g id=\"edge1\" class=\"edge\">\n",
"<title>ar_init&#45;&gt;ar_init_obs</title>\n",
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"</g>\n",
"<!-- ar_init&#45;&gt;ar_dist -->\n",
"<g id=\"edge5\" class=\"edge\">\n",
"<title>ar_init&#45;&gt;ar_dist</title>\n",
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"</g>\n",
"<!-- ar -->\n",
"<g id=\"node7\" class=\"node\">\n",
"<title>ar</title>\n",
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"<text text-anchor=\"middle\" x=\"169\" y=\"-46.8\" font-family=\"Times,serif\" font-size=\"14.00\">Deterministic</text>\n",
"</g>\n",
"<!-- ar_init&#45;&gt;ar -->\n",
"<g id=\"edge7\" class=\"edge\">\n",
"<title>ar_init&#45;&gt;ar</title>\n",
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"<!-- sigma -->\n",
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"<title>sigma</title>\n",
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"<!-- sigma&#45;&gt;ar_dist -->\n",
"<g id=\"edge3\" class=\"edge\">\n",
"<title>sigma&#45;&gt;ar_dist</title>\n",
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"<!-- ar_innov_obs -->\n",
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"<title>ar_innov_obs</title>\n",
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"<title>ar_dist&#45;&gt;ar</title>\n",
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"</g>\n",
"</svg>\n"
],
"text/plain": [
"<graphviz.graphs.Digraph at 0x7fed0d65fac0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm.model_to_graphviz(m)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Prior predictive"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [ar_dist, ar_init, rho, sigma]\n"
]
}
],
"source": [
"with m:\n",
" prior = pm.sample_prior_predictive(\n",
" samples=100,\n",
" random_seed=rng,\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for hdi_prob in (0.94, 0.64):\n",
" hdi = az.hdi(prior.prior[\"ar\"], hdi_prob=hdi_prob)[\"ar\"]\n",
" lower=hdi.sel(hdi=\"lower\")\n",
" upper=hdi.sel(hdi=\"higher\")\n",
" plt.fill_between(np.arange(trials), y1=lower, y2=upper, alpha=.2, color=\"C0\")\n",
"plt.plot(prior.prior[\"ar\"].mean((\"chain\", \"draw\")), color=\"C0\");"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots(1, 4, figsize=(20, 3), sharey=True)\n",
"chosen_draw = 1\n",
"for i, axi in enumerate(ax, start=chosen_draw):\n",
" axi.plot(prior.prior[\"ar\"].isel(draw=i, chain=0), color=\"C0\" if i == chosen_draw else \"k\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Posterior"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's condition on one prior predictive sample"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"rho_true=[0.259 0.135], sigma_true=0.236\n"
]
}
],
"source": [
"prior_draw = prior.prior.isel(chain=0, draw=chosen_draw)\n",
"\n",
"ar_init_obs.set_value(prior_draw[\"ar\"].values[:lags])\n",
"ar_innov_obs.set_value(prior_draw[\"ar\"].values[lags:])\n",
"ar_obs = prior_draw[\"ar\"].values\n",
"rho_true = prior_draw[\"rho\"].values\n",
"sigma_true = prior_draw[\"sigma\"].values\n",
"\n",
"print(f\"rho_true={np.round(rho_true, 3)}, {sigma_true=:.3f}\")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (4 chains in 4 jobs)\n",
"NUTS: [rho, sigma]\n"
]
},
{
"data": {
"text/html": [
"\n",
"<style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
"</style>\n"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <progress value='8000' class='' max='8000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [8000/8000 00:15&lt;00:00 Sampling 4 chains, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 16 seconds.\n"
]
}
],
"source": [
"with m:\n",
" trace = pm.sample(random_seed=rng)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ELgfs3QfUhYFVK00X5kf2zHg4eDwC3V0SqRR5ycNhYkJizz7gOVcd+3k2K7Fp84mfPx4oFiV0/bH31RZoNgAA2vgOeO76HAov/S6MtrVwHrgBtfZzULnw7cceaFThGLwPzv5b4Dx0B6QeRq1jHap9V0DWdUJ66yGdbohCEvpN/8ZjD98F1AqonPsmVNa+BnB6IMMdqC57Iby/eyvyr75+IT2/jTOLalVi8xbgM58SqNUkPv05iY9+WJxAnCoV7qgfiAMH4vz38GEgGgGamoG/eRWwepVAayuziTmddEOZmORxt94uMTML/OnPwOSExGc/zRfqP79T4GP/IfHBD0t88fOnJkQ2bDyZCAQoSu65D1i5QqKt9ZHWBAR6ex45MZmbk9izF9hwMZBIAA0N/N3ll/IeOh733MdEBeefZ30mxKNPinAqHOxnOvGjrRfbdwKpFF0Jm5oevl91dfz3QJztWrzoxGOyObqMLVn88G0qFul2dqoMhdksoAnA5zv+cwmvF3A4TvydJdBOLmq27wB6uk/evkxGYmYGC8mQTLR3MN397JxEQ/0T9xyrVCR27AKuuIzrrVYD9u2TWLZMYM3qJ/b5WR/lmk1n6OZ+PKpVrhW/X+KkfqAnwfGCyOWkC2xri0V6E0lapZsaxQmW3E2bgbVrOB+6zvl8JC6OjY1igaw31DPO60D81Me3tQItf0X5mccKKfkeXbL40W0WPe7tME7uWjo/D9x3v4THY25MCQwN09r6WMVQLscNqa3bpDoX+1+rSQhhPROqVYltDwEXnC9OuWF1KrfYxwJz7d57/8k31B4tbBdHG5ClDIzWs5B//e9htK2F49Dt8Nz+CYij0+cXknBt+R58378Gnrs+BxloQeFV/4f8m25C6bmfRnXNq1DrWg+jcSlkpAdG21rkX/MLwKmj1nkeStf+F5yHboXvh9dBG6UvR/nid6HWuAz6X97/7CjY8jSA0ynw7x8C/vgnCYdD4HvfFujpFpibk7jlNomvfM3AP77DwMWXpfG+D3B3PVIHtLeSxF7/I4HvfEPD/3uThgvOF+jqFPD5BNxu/ruoT+Ca5wj81+c0/O7XwOteQ/eXf3wHM0I6HAIf/TATizy46UyPhg0bxPy8xI03SUDKY2hmPn/q2BgpSSbSaWBy8pE93wIBYM1qiqJ9+63P77rn1Ek5jnfvCgYo2m69XWJ2TiLzGNx41p0rUF8v4PYAAeWuV6sy5fvpLHWlkkQqZSBSR6u5iVNZMpbFBNY/QhfHh7ZT0B0PMzbryBHg5lutDLMmNm6ileTQYYmdu479Ll8wz3Hya3rcOGUtyNlZiunjEQwyoUMqdbrePHKEw8DAQA2VyrGfCwEsi/HZbWLduUC0TqJSYYe2bH34dbB5y+mPqVTkQoIoE5pG6/KmzSceL6VEuSIBwXkfHpZIp099fjOmyCqyzX9LZa69oy2H+/cDo2Mk5vmCdazZPoeyoA4Nc26OXnezcxJ33nXcIIL3srkupAQ6O4BVK0+9JqNHreuBI4z7ezjcdrs1J48UR8ccJpIS92+U2L1HIndUFtVs9sS5ebxxfOZWKXHMs88wJAoFiWgUWLIEuPV2YIty23WfxAHrdBgbP7EIeCIh8cCDXAfBAOA8Kr7znnuBHTutv++86/Qp7x/aLheeyY93LJs5X482Mc3JYAu0Zzm0qb3AD14OyBpQLUCb2AX9hn9FtWs9jKbl8Nzy7/D84R3wf/85cB68GaVL34/839+I8sX/DKMxdnofCj2Ewsu/B8f4djjGtqDw6utRXv8OeP/wDrgf+BoAidI1n0LlnDc88b4YNh4Wg0MGPvYJA83NLE6dz0v87g/A2//JwCv+RuKPf+LO9d++WuBPvwvi978ReOfbBDZuYjar735LPKodo8YGDWetEYgtBZYuAf7ujRJ330u3li/8p8Bll4onxIfdho1HC1McuVyAP2B9fv9GoL//5L+ZnCQxnpunu+/DoVSSuOc+WuqCAWDFckv8eU4TT6Qd5843OUVhAJDIPngS8gwAGzdJDAwce9JczrqmlAzGHxuTkKAoSiYNaBrbeLod6HvuA/74Z2BkRGLgqJTY4fDJj48fZM3FRwKXizFWx+Ouu2nNX3cuxVQ6fez3i/roklYoAHPzx37n8wIXnH9y65qUEqUyUDpNnFM4jGMyy0kpsW8frXmmgM7nH1tpgt4egedd64bbfWwbnU6BSlmiXCYj9PsFzjlbYGbWIomjY8zKezSJHx4+dv5TaW4MnAqDQ7QkHo1EktackxkzDx0G7rufNg7DAOL9wPjEyc89PCxx+538f3Odm/82NACROhzT75BKb2/ShgUxV+LY96t4ySsvB1auOJYsl4pWUpaji1Fnslas2dw8sGs374dTuTHuOwBMTfP/Dw8Ac3MUsaeLa5J45PGhiYTErt0St91hfZbLWpbho63kGzdxvUspcevtJxdrp0uyAgD3PyAxOHT6Y5Ipq3+GPNYyOWBujExJ7NqtrNFKYTgcQGPDaU99DKanT1wr5lx7PAK6V2ByUizEKlZrnDNTHOWLbFutJhc2lgBau5m0Bqgdt84eL5hjcjSlrVYl7rzr0V/IFmjPZpRzMJqWA6+7HtpsP/Q//yuc+/+E0oZ3o3zJe+Hc8VM4Dt8BUUyh8Ir/hQy1wWiKAdUiXJv/55FFVvuiKLz023Du/Dm0sa2ornwp8q/5FZwHb4bnxvcBmgO1novhGLgLjv5bn/g+2zglfv8HulHpusDUFPCyV0ncdbfEC18g8IffCnz9Kxre9lYNl10q0NysQQiB0TFgw0UCX/+KQHvboxfZZ61hJsh/fqdAJAJ89j8lvvM/fJuWShKve8OJu902bDzZMHfkGxpOfOyVT9yMB0BS6HYDK5ef3D3xeDidtKDdvxE4cEDia9+kxQcAzjn7RJc9gKSnLoxjxA0tN/x7dOzUdQaz2ROTaTzwoCU4TaKxZhXQpmJeNm4CjgyRMB/vNna8haVSZSHf3h7VPweFZyJx7HGGIaF7Htkue7UqkUydnFRVaxQMY+O0amkaLQsm/H5eIxo91voB8NixMZzSCuF2nzxJBcCd/EwGuP0O67e1GtvY0sL5SCYlfvd7ifs3nrpv09OnT6oQP2hg/4HaCW1MZyTuvR8YHuHf+bzEH/9Mt/NCgcfOz+OYvwHA5+d6MxEKAvppEr/MzDCm8GjklCVT14/9/MFNEoND1pwaBgXsstix74jpaT7fHU6JYOBYy4P5byYNJFLHzuXyZYxr1DSBUPDYZCGVCsm9YUgkkmzj0QLN5QIiEQ25HOPTTDQ3Wenbm5sEOjv5fV342GQvlYpEIsnU/Wb/vV7O8779tCbuPyCxZ++xa7xaNVAsStx55yN7n219yBKAJiQowD0eHJMyMLaEotUwgN175DHzDABjYxJ33HX665299vSxsuWyxOARy1oqjWOfAcx6Cdx1lDXLzGLa1iqQz+MRb7jOzlEwHw3NwfWZydCCODPDWMWjLWBmQXKvzuExDN7vF6/n5w9u5sbBJRsEJifIMawNAW5IHX1/jY1JjI0/cv4h5cmfTeUyn0/j4wYGBw3kcmz/rbef/ty2QHuWwhm/Eb4fvwz6H94JjD4EI9CC4ku/jfIVH4LReT70P/8LXLt/hdLzP4/iq38Co2U1ii/8CmSkF6KUhSimAM0BbWTzwworWdeFwmt/BaN9HSAlZKQb+b/5KbTMJPQb38dsjw439Js/BDF3+EkaARsmhoYkRscMvORFwDXXAK97g8TmLRJf/LzA176s4XnPFcfEFxQKEv/24TzuvU/iovUCb3qjOMa95tHA4RBoaRa48SbgisuB738X2Pgg8NFP8MH15r8X+OSn5TEvZxs2zhRGRh55bavZOWBunpsY+/c/fOp7wwAqZWDDRRJHhvhSNy13Gzed3MVx7Vnc2DAtQgfiEqUSiXc6zdqDj3aHuKpIl9MpcO45wKJFQDhM8up0CuRyQCEPdHUe+7u77gG2PcRda2lIRCN0vWtq4veBAK2KWx9ikWFzJ356hqTpVO5kR1udzLE/XZ+mprl7nUpJbDzKTXrXbgregYET61elUnSZOxX8PuuaxwvMujDJ+dGeUrUaAEn3unKZFpap4zIB3n3vsS6FU9O0Up0MUjJ50sGDtQWhWKlI/Pb3BkpFSbGituz37JVobqKomJvjseZvjh63YuHYXf50hqL64TA8LDE+cZyr43FWXJNcC0HropS0JidUht74QYnb76R1qqkRuO8+uiMCJ7qGuVwSne0Sug4MDnHsp6dpZaHFykrWYRjcTJFQcUjbKBSPPmcmC9x5VxmplDxmsyWRYNZhw6C74q5dEu1tEqk0hdjmLRIjIwYO9gNbjyvJUCgcu6ZnZmhZNLF7D3D7nRwPx1GbNcPDJ5YpkPLUmyoA3a1LpWP75PNxUyKd5mbH8YLZ5TpWjJ8M1erpreLJJDdAfD7LglY9bpNGSgr9ZnXPmwK2UJDI5R+b25/bRbdqXafoGjhC0Xj0UJXLfP6YGySVCl2dd+7i9/m8xNAQN54TCc7H0W1yOo+6z5MSd9zFNfRw7qu33i4xPX1yF10ACxszB/v5vJuaxjHW21PBFmjPQjj6b4Xnlo+g+NxPoXT5vwG9F8P7x3fCte2HcD/wVXh/8TpUl16Lwmt/xWyOx0EGmlC+9L0AACFrdI8E4HrwW9BmTh5VK0NtQCUP7/WvgMjN0v3xpd+BSE/Ac9OHUOu8AOV1b4J+43vt9PtPMr76DYlPfxb4/BeBj32Couir/y1OqIEGAMMjLCydyUictebxa8PyZcA1zxGoVZneOJMB3vsBicsulVi6FPjSl22BZuORIxaLXRuLxeKxWOxQLBb74GmOOy8Wi9VisdgrTvb9ocM1HBmUC0TWkMdaUgROtMZISVc2txuAJMEbmwAeePD0cSKJBInF9DTP29PNLKe1Ggn38fE7g4MGvvRlA2NHCYtIhGIglSY5DwSOJQpSHlvG4ngeuHaNlcSjWpXYuk3iJz8F9scl7rjTQKlEy4HQ6MZ4PMnI5ZkufmiERHnbQ8Cdd/O71atoUauPkkxOTarYmYqEISlYTob7NwKzs8qVSRHIU4WNCADrLxBoahIn1CRas5p9OlnsnJQcq6M3mgoFFs/OqQQmtRqtE8dbNo4mdaWSsbArLwFMTVEwzSdOvGa5fKJF6mgrYiIpcf8DPHGlQpHs8QCjo1bx5VSKc71vP3D/RlrghoYp9DZsAIIhWhjMNTswSDJZKpEwmy59piCoP40rrimC0hlLKEci3LTI5ThWx1tuCgUe6/HQ7dbcZJifJ5E1Xf50rzWG5tyaRLdYFNgf5+ZA/yGL4I6PA7v20PpputYbkqRbGsCevbSAdbQfu84b6oFQSEMieWzdqlKZ7dyxU2JuXuKueyisTAGeStEFWWgSTid/eXRimFIZ2LeP9+nKFbQWm4hGASiXQKb95+9375HYvp2iwcSDm7AgKE4Gv5+ZHM3xKZcltu9kMe10hnMSP0gxcviwgS1bDdRqltuziWr1WCG4acvJC3KbOHwY2L0bC88bKYGaOsfmLRLVGu/j6WmOe0ODlVRnds76zSNBdxet9EfD/K3LRW+dQhHIZoDb7zx+zVHAu1xWW0yhmM/zftF1iWpNiXn1cyF4f5njmk7xGXpo4NgajVPTJ49vM8XqyQSa+UGxxCyhmpDYsfPh499sgfYsg+PIvdBv+iCMQAuMphWQ4Xbgj+8FhIBjYgccg/ch/7pfs/C09vB+ObWu9agtvRYAIIMtkHoIKOfg/dnfANUSUM5B5NXd6fajdOW/Q/pUblRPAIWXfRfa7EG47/0iKuf/A6SvAdrUnieq+zaOwu49fNG/7jV8wc/PA9/7tsDzrj15Gv1SSeKf3y1x5RUCX/2yD6HQ4xc3uHSJQE83sPUhFoy95GLuvP7LvwLv+EfgovV2jKKNR4ZYLOYA8A0AzwOwAsDfxmKxFac47j8B3Hyqcz30UBXbd1BslUokfkfj6qsEEsljXQxHRlnofes2WgjWrCIxO9gP3PeAPOXO6Y5dQLUmse8AiVa1ShI6OCSh62Zcx1FEbjPJY3MTFtiA38eECqk0d9VHRmidMjE8jGMKMksce06n69gd5UAAWLwY2LWLLpHlMn9k7Yyf2I9sjhssE5N0u3I6KVxuuJHXmZtnZseODloG9+yjpa232zrH8ULWTIyx0NSTDOHqVUAgILF9h4EjRyR27rDOc3iAadM9R1kWdu8xrIB+yf4dbc247wFaTcxr6l66hF54Pq0+JgoFi/w+uIlxVwvkuWIR2vooE0+wH/SFKpcsNyddP1bsz84yecmmzaw7NzHBtvQfJil3OOiStms3LTa7dgEH+yncpqY59zfdDAwNS0BQfLQ0kTSbvzVd2kxXtdNl/1y+jKS5o92ykETqgLY2jt227Ryz45HP87yXXoKF7Kfm+MzNkUS7nHS5BKx7TEpg336J+zZK7D9gWd8AijKXm659hoEFwizVBooE3RzTGSy4xE4oq182J9HSIhCJWO+UZFKiWGTWv4EjACTfPxVV7+/gQc6z308RduAA0N7GOp6GwWRAXp3W4kCAonRZzBqDcBhwe5h6vlzGQlzZ4QHggU3AwaOEUVenZXU+HlKaMVgUBFJKTE5JnL0WuEi58T20nULrvvspKI8Msu3HW682bT42gc1VV3ATo1Y7ec1Htxvw+ila77jLgJRKZEuJcoViSUrOje7ld91dVruP/jeZPHVdyQMHKPqOz5CZVVbZuTkDu/dIlEt8Ph4thITgmioUuFFTVyfQ1wNcsoHflyt8Pns8PK5YtH5fLlPYmZkxu7qA5cv5nfmcGxuX+PMNkmtEwUz64nKevK8mqlXeB7ffAUxMccPj4bKL2gLtWQTHwN3Q//TPKD7/Cyi88QbA7Ydz/x+BsR0Q8wOoNS5H4dXXQ0Z6/6rzV1e+FDLYCmhOlC/6Z8DpgWPsIXhuoLXNMXg/RCUHba4f7rs+xxXsrUPxJd+Ec/+f4Nz/RxRf9l0Y7eewjpqNJwyGIfH9HzBV/of+nUH13/uOQEfHyVIlM4Df4xH43+8K/P0bxClTXD9WDA4Cb30L8L0fAG/9f9xx/+Rn+PLZuu2vLxZs41mF8wEcisfjA/F4vAzg5wBefJLj/gnAbwBMn+Q7AMDe/TUMDpFIHTlCwmbW3pFS4u57WOfs6KQT4RAF0vw8d6X37pOYn+fnDfVWNkQpj7Wo1WoUIpduoPByu5nYYvsOkqly2bLe1WpyYWc4X5TYvZefH+xn+1qbGSvmch0rKo+P6xgeZhICcwd/6zYskA+nU6C7C0glgfPXMZ5KSqCvz8poOD+PY9z0TIK2ZDEJlctF4jI6xkQbB+JMyDE9QwsHYKUzb2uz2nXn3cy2aMJ1VBr8o/89Gh43MDFBK14kAkSiZgY/uVDctliwnls7dlpudeYYHU+Ytm2nwNI91o7+0Vav+Xn+cOkSYOliis1qVS6cp1azrGJtbYzBuvV2jnlXl4CuC7jdfL7mcscm6TD7mM7QQmQS/1qNCTduvU1i737GnoXrgKVLSdqdTsb9jY7w2kNDQF8v19TYONDexrllFkRe4wHlgmWS4FzuxIQmyRRFx9y8ZUFMJCi2x8ZOXUi6VOLGwA9/ZGXWrI8CxQLr4i2LMa5waJBj13+YmQ5zOQrTRb3Ai64Dpqb4mZSW5SOnhPGC+54k+ZaGJeqzWRLzPfv494EDwK23VZDL8fr5vMRvfy+xZQvF8uAQ10W1SiE6Pk6xNzMLjI7SeqXrFCD79jM5h2FgwUoqJTA8imOspkNDrF3W28P7w+2y1oc5z/fca2DffmZBbDhJfa+ZGVopJyclXE6K+VQKiB8UKBaAO+6iSK9Wed/51GZNfT3FbzRC69699/GCkQiOyQg6MUHRMjl18oQ9gYBKcCJpGbZiBQUW9dJqm8/T3TUc4rPBtDwZhkRDvVxI7rL/AC3L/f0nZsEdGaMFUZxCnYRCQE8XXa+LZbblaO+ChgaW97nrbq63A3GrmHpV9XfTZlo8df1oyxwQjUpMTBhIJMiN5uc5F0uXqmsH2b9CkSJyaloeK3yldU9ls5yvrdsMpJL0wpic4r1QKVO0H+99cTxsgfYsgUgcgX7jv6LWuha1vstUcZAyRGoUKCRRvvIjKF/174DzUeZDPRmcHtS6LwIA1HovQfEV3+fn1SJQLcHwN8G16xdw3/4fAACph1F80VfhufPT0CYoFn0/eD5QOIlfiI3HjH37+VD53KeBL3yJu0Pf+cbJC0PPz0u8+70S3/ouyWQ0+sRZsoQQeM+/aLjqCg1XXwn815eAj/wbidEHPiRxx50SX/ry6f3zbdgA0A5g5Ki/R9VnC4jFYu0AXgrg26c7UTJpwOGgi1NTo+kCRiKXSNDFb2zs2PU4N2dmECNpzeVJaB/cDGzeDOzazTV8sJ9CpFiUmJwyEI+TvB2I0wrlcQMeXWBmRrltScvCkcsxDmVohJkaAWBiwkA0She3QpExRuHwifW58nm6ohmGRDrN3eyjd/BNwlEqSTy0nW6KQ0MkQgAFQ0M9SVcqLY/N/CcBp8NyqevvZ/+rFZLtWs1ylTOFTijIf01XyIVJUwkcBEjmb71dLri/VaoSD27iH4NDDO7f+hCJdU83LR0N9VYSlAc2SjTWSwhNkdM6xrOYT7MF97oFy46BjQ/yOenReezAAMfuQNxKyNF/iIKlVOZmUqSORHbHTolCgRkDzTpd/f0SmzYri53B/swnJLw6Y/MqVUDTJHbsNI5pE6DWyCSQzxsoFIBt23jdhnpec3KSVrThYdWeEsWYGSc4Pk6Bkc3QBTWToVV4bFzNtZovc3wfeBAnJDQZGaG1Lpu1CoFPTjJbZUe7ZaEaHbUSKwhBwVBTbrE1g6n2p2ZMq6XE6BgTfcwngLvukti0iaJ90xZgzWqBi9aTPP/lJuDue3ndzg4rts/lPCoZibLqtLTghHIEJnQPEAoJDAxwo8BMJBGJUMhqgkK4WKRo0Ry8j1xuzlFdhOefmGCSk5tvofgAaDVOpYChQbqnGgazHtZq3EwZOMIyFWZtwGSKa9QwzPUrsXXbsSU2KhWulckp9sncBDk6JnJ/nGJsiUoWMjvLvjldwIxyB51PcF0US+amhYTPby2yfQcYw7pnD7M4Hw2pXLUrJfKFo10D5+cltj5kPQfSaWvszcRG+QKfIdUqrz0+wWfE4PDJN1tSKR5/9PXNMgt330shWKkAK5ZxDFMqY6sQwJEhuqeWymoj4KiY4aB61oTr6NnAc1vf79rNjZs9e7kx1tcL9PSw3YkkBZdX55orFHi80wmsWmGVEzHPt3kr78vZOQr8UEhg5XI+H2IxIBgUx1hZTwZboD0bUEjCMb4ThZd/H8VX/gAQGhzxv8D/rQ1wxm8G3nIDqrHnP3HXV1shtcVXobboSsBbh8J1X4LrwJ/gOHQ7/N9/DozGGEqXfQD6Df8K6atHrf1ceO763BPXpmcpDEPiO/8jMXBE4pOf5gv6LW9mVqvjsWevxJv+QaKjA/j6l//6RCCPFv39Erv2kHDc+BeBT3xMQNP4IN5/ALj7nielGTaevjjZQj2eBnwZwAfi8fhpnUxaWxxorHdj0SIfurtdcLl1JBIBRKNeAH60t3swP+9CwO9FMBjE2LgP4xM6pqcdSKacyGadiC3xY27WAb9PQySqI5P1QNeDcDh88Oo6qtUAMhkfJiYcmJ11I5PREQx4cLDfiXhcx+EBBxJJJzSHB9FoEMFgEDt26ggGXVh/gQfhsI7z13lxeMCLQ4e8aGn2Ipn0oqHehblZDaWyG8Egf+f1+jA350ap5Ed/vwuJhBPS8CCVcmPTZg+8uo5EwoPf/t6FcDiIpmYfLtngwcycGxA6dN0Dt9OFwSEPUikPNm924GC/znPrOnSvDr/fi4kJF0JBN/wBHV5dR6miIZ12wePxIZ/nZ+Z/oZAX553rx6UbAqhW/ZiZ5bjs2eeEwxmAx6MjnfXCq+vw+wNobfEiGgmiWuV1gwE/SiWeC3Bj/wEdd97lwOatLrS3uhEOh+B2e7Bztxu6HkB7mxcjo25k0i4Egj5oWgDJlDp/gOOk60F0tLmRTDqRy3nR1upD/yE3RkZceN5z/dizxwWfL4A1qwNwOd0YPOLCg5t0zM25UCp7IaUOXXdDCAfcLo5rZ4cHK1YEOOcVD8bHHZic8mLzFhecTge8Xhd03Y/77nchGAzC5/MvjFGpFIDb5UaxpGF42IVy2YVi0Y1VK31wu9zweV1wOp3w+3Qk5p3YvUdDKq3h0GE3Wlt9yGZd0DQHzl3nR2uLD3V1AZTLXiSTOrzewMJ1fF4/gsEgQkEv6sJeFAo+/OD/nAgGg6jVdOTzHvh8PvT2BgAEsD/uRjTqxJEhFxIJF8/j9cOoueHVdUTqdAAuuN1u9HTpONTvxdS0D0LoEMKDyUkf9u13Y2bWjfqoCwZ0rFyuIxrREQzq2LvPi9/9wYObbnGjVHKiLuTA8LCOStWP3m43/D4XnE4d6XQAHk8A27d7UCl7UCiyrW6XC26XC/NzbE8wGER9gw8tzU5EIl4EA15UKn6MjrqwbFkAq1YGsWSxB52dXkQjLvgDXmjCjXye89jU6MbAgBuHD7tgSB2a8GBs3IVEkuvH7XLD4/agscmLUNCDvfu82LVLB+DF9h1upFIOQHh4jweDWL7Mg65OF3SPjkDAjXLZgwvOD2D5MmtOAn4dDfVeOBw+NDUG4HF7kM26cPCQD4WiH1NTLjzvuQFs2BDEDX9xIp/XoGlueNw6PG4dubx74Z5ragoiHPJC14PY+KAb8/MBBAIBSBnA1VcG4Xb7sHOXC3ff41p4ZgSDQQQCQYRDLkTrXXA4HNA0DyYmPdA0Dc3NQeze7cLgoAPVigOROjdam7mmwyEfgsEg2loCKFc8MAyum8FBJwJBHZduCCASCR1zLa/O54xh6Aufzcz6sfUhDzxuD2o1HfMJFwzpweSUGy3NLizuU+vX50djox9OhwOJpBsuVwCtrb6Fue/s8MHndSMY0JFKe+B0eFEs+TE948PBfi+yWTeCQS+iUS8a6r0QwgtNeDE2pmPvXh233+nB7KwL5YoXzc0hPOeqIKam/ejuZrt9fj98vgDSaTdSKTd6e4Nwu3RomguZjAeHDnswPe3Avfd5oAkdtZr/dK8fPILkvzaezhDZaei/fQtqbWejuoJePo69v4d+84dQ6zwfxZd8C8FoE7esnkQYi65A6epPwHPbx5F/1Y8Alw+iXIDUw/Dc9nGUrvgI/D96IapH7kWt95IntW3PVIyNSbS0AF/+osB3/kfi0GG6IrziZSfulgkhUKkAb3mzwHXPe3Ljv5YsEfjet2lJ+MCHJK64XOBTnxB42z9JrFoJfPXrEhdfxGBhGzZOglEAR+cY7AAwftwx6wD8PBaLAUADgOfHYrFqPB7//dEHpTMGKtUqtmwuIx4HhFbByAjdxLZs4850OAzUahXE48DNt3B3v1plkoBcHtgfr6K5hW5NPd1FHB4AEoky0mmgt5eW6/FxA4USkM7UsCzG3d9Nm4FkssrEIVPAC59fRbVaQSYD5PIGymVgepY7ySNjjB85cgSob+AO/d793FXP58rYsaMMl4u7+KzDVEa5QpfHRLIKXecGiKYJpNMSRwaBZLKEoSHu/q5eBWRzgpYXD+NtZma4M75nTwGxJQUUigKVikRjg4DPJ5HJsF5ZwSFQKflQrlQwMVE9QSlXKhJbtglcvJ5WkblZxglVK0AqWYUErTThsIBRo/VnchooFAUymRI0jfFYmSytiqGQcnGsqyGdASanytA93Nk+dKiM+XnG5WUyQLlcwUPbBQaOSASDApl0EQWVbc7nZ1xSoVjF/v3c1a9UgXvvqyB+EBgeKSOX4w59tQqkUhWMTwArlleQL/P8mgNobakhXwB0r0AwUEEubyBf4LwlEgWUKzzH1GQN8XiF85LJYMcOA7k8UF8vkEoBpbJEJKJjZKSCUklZlW5m36L1tNbl8lUUisrFzQvU1ZWxZWsZ2RzdqjZtzqFaocXonnu5Pru6isfU5spkBJYulXBowJ13MyYyk6li+w4DmQw39YpFYMVygWCArlseZcEqFKsYG+d8FIqspZlMc+3/7g/AeevoIpvL0iLLVPmMk9K9QC5bwcA0LW6tzXQxbGygJWR8gslaDg8UsHUb59DjBlasqGLzVqC7SyKbBQ4foTthNsv5aqgH5pNAtJ7rJZczcLDfgWikBp+P5y1XgHSqgl/9mpYTh5P3RjjIufb5gNHRGiJRWkCqVaCm/OXcbqBWq6JQA8oViUJRPR+2MCnLqpUCDicwN8+i2slkDQ0NbEv/IQP1UWD9hVXs3itxeADI5crQdatempQSF5wvcOgwE1QUS1zfk5MV5HPc/965q4rxCbPOFxAOlVEocg2m0uyLpgETE0Wk0kC5LKA5DOzZU8aBOC2Y8YMSPp8ZlwrMzFSwazdw/nkCtRoTo+RytFLmcjUEg4Db5cX8PANSfV5a53K5GpJJjtGDW/Lo7BQYHaXHQSZbhsspMTEJjI1VEY8XccXl5CF1dQydmJk1+Ixt5xhNTNDt9NAhib4+uucGAxLDQ7wnnS5gdKyCVStpvWtuEmhqligWa9h/oIxUms+13/2+iIlJCd3LTNHRKHDeuQKjo3RZdDnp8jg/T0vcwX7259yzWZP11tslohG6lm97qAKXs4DNWzi/Dz3EepdjY8DVV9Hds1QCZucqyBcYo5fLV5BKcb2MjtZQKHBdLV58XMrNo2ALtGcy8vNwDD2A0tUfh9F2NiAlXBu/DvfGb6K67PkoPe+/zmiB6Oqy6+AY3QLPHZ9G8eXfQ3XxVai1rob+5/fAteuXKF7zKUjnaQqz2HhU+MJ/S7zmbwSmZ4Ab/gJ895sC9fXHFgDN5yU+/0WJi9YD11wtcPbaM9NWj0dg126JF15HwiWEwH99Fnjr2yVe+XJbnNk4LbYAWBKLxXoBjAH4GwCvOfqAeDy+EGgbi8V+CODPx4szABgZNdCukiAIDQj6lWvLHqA+Qrc3lxu47BK+eJMpkrP6epLDmRlgfo6E8d77GCMUCWPB3a9SYVa9sTEAkjESm7cytsd0jXM6gaUxJmDYus3AK16uweEAWpqB8UmSm4EBktmWZtYz7GgHXKo4bHs7cOvtJB+xpUyXXSiyH243SUJDPUnMFZcBP76ebpoH+5kQIJMGvD7A75MQIDGuVqzaUOecQ9euZEpifAwIh1h/SghmQDvvXImyCqSfmqIrVHs7CXqtxnHt62Wh3L4+xtI0NPKYXE6iLgy0t5Ls+v0Cg0NyIWi/VjOwa49AuUxRlclQpGoqKUb/IbqUdXVxnJxOjr3Py3lxaGxDMCjg8zJN+rZtnO+tD1FkT08fm4I8nTaLdtOVLJGiy1O8n4K4WKLQLJU4v0MjHKsjgxyDW25ljJ7HQ1dBkxg63VaaeylJ+NJprqXDA0z00dmp4d77OL+1GoVPtQbs2cP+p1VKeKNGd7crLuPcHBkEINimoSGgs5MxaYCVLKRW43oNhSTuuIPFyRsb6JJaqRhoarISHfj9dG/M5eg6193NNct7i+1oa6MrWkjFLlWqFDcHDlBo1dfTRWx4hIJS91Dwp9PcZBibYJtnZ+lWm06TjA8O8f9rNa7dpka6883OUDwGAzyXGZ9WV8fjBwclpmcoQhobNbg9jC/N5Wlyn5jixojPR9c0adAlsUHdy+Ew19eSxdygCAR4LxSLQDIh0dkpIMB2mbGAUgKHD0ucfbaKiytz7ZjgBsmxmQh37JSoq+PaSae5Nm65ja51rS28b50u9nNkhCJlbEyitVVgyWKOQb7AtWW67E5Och73HZAo5Oka6vNyHgeHJFJJ3itrVnE9nrVGuaeqos4ej0pcVLHiKvsPApqjimhECVy1VvN5CuzOTpbj2LNPLhQyT6Uo1FxOPrPcHt5HN90MvOZvJMJhAYeDvw0G6GJsxg7WhXkv53LcNIhEVEbRgrr/DtI1saGerttnrWZCF7cHaGqUgCYWnj26bop4CY/O50BPN92ADfVc7u6me/f4BDezFzKdqv4mklwXEkzy0lDPuN9yxSqzkUlzc2t4mH+73Rybtlau47PPOv6NcyxsF8dnKER6HN7fvAnaxA4YrWuBYgr6H/8Jrn1/QvmS96D0/C+cUXFmonT5v0EUk3AM3AkZbofRdjZKl7wb7ge/DqOuG0bHedCm9p7pZj6tUSzSF/7zn+XD7ytfk3jJi7hTeLQ4GxqSeOvbJfI54MILzlx7TVx8EfDqVwo8tJ2JFlpbBf7zswI//inwre8aJw1ktmEjHo9XAbwTzM64H8Av4/H43lgs9o+xWOwfH825/D6BREJZngqM06hUgO5OIBIVaGzky/7mW+l6K1WQuMNBslIz+P0DGwEIFnz2eHiOapXkEyBRam0lYctmaYWbT6haQ1UmUAiFAH/ASnoRiTDpwNGCZ3CQ4iqXA7p7SDj2H1CixMe4rtk5Ky6jUKCopFVE4vqfSczMMFYjFKRVplYDZqbYj2CIfRwcJhlxOGhF1D0kyJEI42cMwyz8TFJy4GAN5RLJaaFIYjs+TlK1fz8QCkq0tgBf/QZjqBIJjtmWbUw0cGQQ2L5DYt8BA6USySUA3HobkFfFby84D1i5kiSNdYZIVPcfoED9+rc4f9Uq+1CtAQcO8u9CgdaNiQmLZJlks1ympaZdRTHmchybWk0JLbeVGCCZJIkPBMRCQoSxMRLkghIMSxZT8LpdFHWzcyomSVK8A2Z2PJJLgBagTAa48S9lTE1x99+jUyxlsxQLdXXst9NJ0th/iFayVJrtqqsDFvdROB0ZZOIITQP+9GeJTJaWpAMHmUSi/zDj+WbnaO0aOKJIbA9/7/eToLpcQF8PMDxkJVqZmma7Bo5I7N9PEebQOE4uJ9d1NkuCOjXFtrvdtLZWlRASgmLmoe1sRyrJtoZDnBOfj9eOxazENzWDa2t0jJbl4WFr/hxOrqk9ezk+fT0aIhGuaSF475lxYjOzvCcaGnnPlUrAhLIaxpZyo2VymiJZCArrg4f4/pyapgWmUmGsGsB5am5iH90ek7xzzXo9XEu330mhAcl7pFbj+zmZ5LyMj1OE3vcA+5ROW3GGySSt512dEv39wKFDXMcSai0YFCouJ5DPcS01NlCozs0Du/dyI2ZZDKiLCFSqHPNSmXO/eQuFVS7HtrW0cC5qKt4vFOK8FQt89jhdnK+RESCT49qvGTw2n+cmRijMsX/5S9gHl4vHADx3Km09+wCKo337KZh27+Fzp1DgMGaznAczwU0kQmEzPMx5Kau4PalqX9x3L8c5meSmz/QUYy5//Ts+i7I5Jv2ZmTEz0PJ+qdX4/JyYspLisHwC57L/kHquL1yPAnfjg+xrqczxyWQ47m2tjIU7HWwL2jMQYvYQvL95E6rLXojype+FNrkb+p/fBUAg/+qfAKG2hz3HkwanB4VX/wRw+7mihUBt+YtQmToAz+3/gcqKF0O/67MovOy7tALaeNT41nck2toE1l8IfORjEh94r0B7+7FB1KWSxLvfJ/HiFwq8/rV4wrI0Phr09dJl6sa/SGzYAKyEwPJlAv/0duCb32bSkJ/80EqLa8OGiXg8fiOAG4/77KQJQeLx+BtPdZ58nsHpDfUkDV4vLWTLYqw7petAIMhd7HKZ1pNkUtUyEyQbhw6TNBQLwKrVwP593Hnt7ZXw6gKbt6psbgYtP9kcsO5ckiSTvOZVwgm3m+UxRsd4zWqFpHIuAZx7tkrC4ePu8W/+wPO5XCSW+w+QwJaKdBmLRkkWKhUAkkRpfo5ktlolCXW7SVjPPYc7zokkv/P7TMsTiXYwyHYHAiRKTAbAMYkfZFKPckUR7wqJ+ewsRZDXS+LV2EjRsmoFr2OmoTYtfnNzLLmpaXRja2jgDrthmG5OVoIMc4MpfpDun+bYHTrE3+cLbOPcHMkzU4JLTExQKGialXjC7+c4DalyBdseAlJq3Hbs5LzV11OkjozwfDmVTCSd5loJh0jQxsYlXG4KzHAdSXMiweNcLrY/4Gd7/H4siLxQUKCtVWJ83Lpubw/XVnc3xz0aAbbP8Nz1rRwPXScBDQUpZPbts3b7J6Y4Btksi0jPznKsGxo4Xg4HrZHpNNfu1oe4jgxJgsq6cBRcgYCVgGFgAPAFKABLZQqUkVGO+eAQhW5TE5A9QrLf1UWrbyBg3QfJBNdhVyePcTqB+x/guujuUhsLCboBRyMSmoNlWg4PkFgnExzLYhE4ey3Pc/vtbHdTI7DvQA11EbbZTOazYwdFbLlsJbo492yKtfkEUJ/kuUsl3j+TU7RONqg1PDbO34bDJPzmpkilTJHa1EihVSpxPUvJzKY1g/dxUyMwM0chX61SYIyPAatXc00OJVhWYHISyBU4z8Eg19GPrjeT8dBy5lZiuOaykooIjRsrPi/g9QqkUnSH9OrA6DjP2dos4ffxeXX7HXR1Xh6TeOBBPmfMzY2Odq43p1NDKsU1m81SgM3Pc9MoWs++Fwq0fAWDwL33c3Nrfh5YtZLrWNf527vuBl76Yrqpjo0BF11IXpLPc5zTGXoIaJqyPjs57qk010p3t9pM8QDlKp9HLiWwDMOqHWcYFFxmAhBNEygWJSJR4M47eT+ev44WSin5TLrvPom1a/msbzRYDy6ToZdBIa/GWNEQ02W5rZXPl81b6a6rObgOc3k+W0NBrrPTwbagPdNQzkG/4T2Q3gjKF/8LXFu+B++v/x7QnKi1nQ0Emh/+HE823H4gPw/v9S8HStwGKV/8T9Ay43Bv+yHK578Fnts+DtROkZbJxikhpcRb3ixw+aUS7/83iVe9QqCnh8VoV69i7MXv/sAU+v/3fYE3vP6JS6H/18LtAdaeJRYK7L7gOuCii/hQ/8lPbSuajScOTgfFSC5HN6jeHhKCHbtIxEZGKKSiUdYLKxaszIHTKhV5sURhMjML3HCDKSIkfvcH1riShkQqZVluDh8Cvvo1WtE8bgGnk4QwfpDX6u/ni7+9TdV9qlhZ3foWkVzf/yAJg2HQZWd4hO1OzJNk3XMfd9lNS5rbzd+Fw1a/H9xEYgQwHvTOu4GdO0lcvT6eu62N4xKPWw4Z5TLJE0CCWiwBMzMGigWSsXKJ/5oZ3szd5pFR9uOh7cqdVAnfQpE72uUyxzSZxEINJkNZTbZvl7jnXhLgQoFk3jBIvrMZig0z42FDPcfE4eQ1KxW292A/BUTNoPAZGbHEyJEjPHe1ynaYRHV4WNXZMlSdKC8tErkcxygUVOR/F7Pp7d9Hd8TDR7gbn81bZLpUooiORi13xcMDHKPZWbo8mvFPySTXQijEdTA3x9/Wakw9PjNjjV1HB4WNx01R1tAIeHzAkkUUBYGAReydTuWulmX/6sK02o6Msj2pNOcvrCxL9Q1W1rrZOVoi/X5aXgaH2HejyvluqFeWtwTbD8n1d9tt7K+m8d44eIjWiJkZio/5edYhS2c4b2a9qb5FJL11YV53f5zj1dYGNDUDzY2qJMFBtr2jgwR5125aOHNZVZYhx/mdTzA+rr2dVkGf2jhYfyHnNRqlCJudUffgvOWWmc9TaPp97Ecmzb53tNOiODEODAzxnWX+VyjIhbHv7ARKFf5mZpYCz+fju8/tAXQf14kQKn2/5JrWdWBkmKKktYWiwOFku0plzq1f/TaV4pxNTQG/+R03l9rbBRwa594hrIylAuz/OWvZz4EB9guCc1Yq0Vo/PW1gelrVCZMsv5HJqPhL9Tyor1fWpzFeZ+8+rkuPh8Lw8IDlinkgbj1/Dh3m+B8eoCj1qLGuGfx7/35uOvjVhkalzLUxNmaNfzbH/+/q5DHm5kBdBLjqSqbzn55m0epcTo1TGvj1b63MvdOzdGPvP8QNiT17KeRrNYq4QIDnDwQ5BoODnAvDYH9M8ZpOs+1OJxAJAfc+oFwfTwNboD2TkJuB92d/C1nXheJ1X4L3V38H574/wYh0w6hfjNK1n+MT7akIXxSlqz4GeAL82+VF8bmfgZadRHXp8yGqJbh2XH9m2/g0wy23Snz9mxIeD2uJrVwBvPA6iXf8k8QDGyX+8wsG3vp2uRA7EAw+tYQZwFizD7xXQy4r8Tevk5idYwKT976bgc2//u2xxWVt2Hg80dqqLVjJwmHunG7ZSoLhdJIImqSgViMZMVNoaxrJf7nMl3ZDvZkYguInl2XcQzRKF6umBhIdr5cEYucuuh36/SS/qTTJ5fQMiYHTyfo80SgJgdsN7NgOQNI65XJhYYd+eoZkLpPlK+CctSR4bjcJotvN85iunDOzJBiLF7EGYSYDXHEpz+k+ald+aJiugppGIWRaDWpVtk/ASsvu9liFcYVmpduv1qw4qESC18hkKMampikSh4d47G9+R7JoirTxCX6u6yRjZmKWTIaiKJ22XEqPDHKXHUK5ZBWBvXuZXGRunjWkonVsc08PCZrbrQralix3p2CIVodSkX1qqKcAGh1j37s6VLr3GuDxsv91YX6WySni18B2T4yTUFeq1m76vv0smhuJWOnvkykKFq8uEFtKopnPs9+FAmNZGhs5l4l55UYnaEk6coTt1r2c30qZlshUmuukUGDfQiGuQ4+b67Jc5qZBtQJs3871n1PkWwoS1VLJEg2m5cP8rKoIckmtL83BdZhIcH1NTfEc+TzXbCbDOQmHaRF1OGghGxrmuunr5Zrcf4CiI5nkWG7fSQF3330819gY7y2Hg1aetlblrlrgGogfBMbHDQyNUIzmchRIS5YAt93Oa7W3837w+VgbkMkvSMQlVOxYgutAVy6MUtLa53Bw7Ccn2adzzubcJOb5b63GMfrx9WxvczOFYn8/x7yvjxsytRqFVjJJsVNVVqFgkHO0Zx/HUwoKwVKR9ddqamOiWuW6mptnPJ/bxbEwk8h4PMDIKF0XHQ6K4YCfgnjzVvahp1vF/2W4BitqPeYLFHPjEwa8KrFIKs21JqWy/Co6cegwRVahwN8ZkueZnWV8lhAcR4+H8XAH4mzj1DTXQ2MDrVQ+H3+TSnO91imvhM529u3IIH/T3MwaiLUqz5PN8f7cvYdzpevs529/x3WZywO33EZrXr7AdRoK0e1020N0C+3u5BjlchRrLhefT3V13JyamFSW1wxw4008R7lCzqV7uMmRTvMZ4dB4nKYdWyvvZLAF2jMFUkK/+SMQxSRqbefC97NXo9Z1AQqv+Rmqy1+E4gu/AjhcZ7qVp4XReha00a1wPfRj/t1xHirLXgDPbR+FdOqodq0/wy18euHCC4DnXQt8/guMWXnz3wNf+G9gwwbg+p/xQfHjHwi86Y1PPWF2PPbsoyD7xreU775X4POfFahWVQC8DRtPAEoliZlZirBiiYQqEqFImBi3EkVMTQE33UKrSCLJ39ZqJJLVKnfvPTpf/JoGrD2LZLi5mSR1fJwEKKxIcjRKohQMqUxlDhKfYIAWgkyGpMfcXR44onaRqwA0XiedJhFxqTiU2TnldlShCAgGeJ1EksePjJDgmCRsYoLtGxmhiIj3U+DkCyROmTSJcMDPvmoaCYiZOCKVooCanSX5CgYt8SnA4wCO0dg4+2cWbjXbnk7RYjOfIJnLF9m/kkoK4nRSQLS0kOiNj/Mca9cCAR/PUalYu+b33MeYmmkVL1dXx138kRGV5XGAgrFQoKjq6yXRyirhaqjd+1KRn4+MkbCVlFvczAzXCaSyKEorPiYcItlzOHiOdFoluWggwfX5VObBCrBzt8DkFMemUqHbl9cLjE3QVfRA3HJPNZR7aqVC4litcjx6uoHOLj4fw2GS+kSCf/cra+HAEQoWw2B/JiZUfJubY5LLsZ35IkVCMm258JoZN9NpWqsCfs5zzaClsquLa6kuzDWQz5JI5/Ik3a2tdFdsalKiJ6PqDCrL2ty8ZfUIhmiBzOd5H40pS+ncLEm4IbmJEolwLc/McM6qNfZp335LPHp1ywpqWkATCY6JGdO3dRuF4Ny8iufsomV8bJybMpE6PgMOHuI94HJRiCSTFBDhMEl6Ls+2bNnK4yQ4/+3tvHfNmoleL8fcoXHdmpZxv3JdnZjkmBgGx3jNGlrsGxuYuGjjgxQTkEBDFICwLJWG5Nwk03wGzCe4VlIp5Y6qLJ4HDzJmsVTi2kmlgD/dyHsg4AfcTismzOlQz7V2DUK5gAeD1qaPYaj+OFSs3Bg3cJJJjn84zDZu3sJ/d+/lPVkusw+GwbnpP8T+lkpcQ4EAFhIEVdTmkyEtAWkmwTGqViKVbJY19NJpirRikes3lVZuoOrZ1VDP+7OY50ZcIc/vEkkmY4pGuL7qoypmsmytw2qVz5JggMfs2cMkKqkU149534dCXBPptNq8yp3+/WMLtGcCyjk4+m+FUdcJGe6Aa8+vULzmU9DmuZ1ROfeNgMN9plv5iCB9Ubgf+Cq00S0AgPIl/wotMYjKef8Psq4Lzl2/OMMtfOpjbk7iG98y4PcDd9xJd59iEXjN64BNm4C3/YPAN78m8N73aGhpeeqLMwB4zlXA17/CHVUzOUh3t8Bb3izwr++X+MvNxhluoY1nIkzLyfQsA9+rVQqT2VmKFreb95ZDIyFyu4Ejyi2tVKZg8vlIbqemLDfF3/2eRHnPXr74TbKeSJKEbtpC1537HyApOess7uImU8o9qsj2hEJW/NPsHIlUcyMJQSRK0mCSbEhFXBzM4upw0rJXLJJAJdPsX14RoHKJGffmExSLmzYDGzeSFBULtIK1tTJBwcgorUmaRmJZUS5zuTwJDF26SPwGB0nUNlwMLFtG4eIPqF3oCjA7T1I9M8cx9HpJtsaVFUCABDaTsYhxf7+KZ/OR9B44oAoh5/h9rcY5mp+3EnCYSRl0N+dNgvNVq/G74VESsJFhzklDA+exrw9w60xi4tDYn/k5ZbEs0fVqdk7F4yS4LoaGLaE6Mcn503WuLYeDAkDXmTwBgsWeh4dUgogJkleHAzjvXA3j4xTcgYCyoOU5/vNzQFc3xVkiyWvk8xTlgQDXk+ZQIkJtBni9dKXdsAG4dAPX09QUf3/eOsacNTVxnMxCxKZrn9OpXFwFY2oyWd4v6RTXQr4ALOrj+uvr47k9OteGWSRaCAqVqkqy4nByXa1ayfVnzvX8PAm17uEYJlO8Xnc3Bfr4OEXvQnFzjXORTPL8iXmKoks2UBzU1wtE6jhngOWm2djI+9Dp5NhOTvF3nR2WhdK0Ivp8ZhyW5bZYqbDNbpdVgH3jJlovhQZMTfKYjQ9S0JhWISl5vUqNVta5OZ47k1UucXVco7rO9bPxQd7j+TytkeGw2S+u40JeWQyHLLff/fs5FtEosyYe7OfzolQC2ju49gJB3gMeD9DbI/CSF/HZMTnF70330sMDqgD2hIG//EVZ0FK0GFUqHIvFiziPgIrLKvH/d+3hWhwe4f3kVta8I0f4LOru5jqt1bgRMTJCEel0sF+Guj9NC6NpWSwW2M/+Q3TRbWzgf0sWcfwDfs53Vyc3D7q7mDRocJAid3KKZU/8ASWO/bw/QkHGkQaDnPf+Q7xHGxuBcJAbNHNzXKOTU1xzkTqu5X37KeghVNZRL9sYiXLcp6dO//6xBdozAK7dv4Z707fg2vt71NrOQWnDu6Hf+nHUGpYyvutpBBntQ+nKD0O/8f1AIQG4/Shd+RG47/lPOPpvg+eOT8Fx5N4z3cynNDJZ1uq48SaJ3/4eWLECePWr+JL8h7cI1NcLOBxPD2FmwuEQaGrS0NkBfOZzEhWVtvsVL+OO1hf/mylzbdh4POF2UXR0d1ouepWKIqB5khCfj3E/2SwJotOl3Iic3JmulEloWppJsiJ1KnbCR0tavkCCIYSyECi3udk5EnGXE7h/IwlOQe3IS6lccZTVIBjk+QaOkLB5vYyXy2YpksxYoVyeRL+xQaVFFyS+U9Pc2TaJqhDsxxWXkyi2tPD5US5TZPX0KJFTBB7czN/WaiSbToeKn3EDq1fyOvX1AuEwLQ4eD7+fmmY8z8ws/w34SebPOsvKOFdWFiLWZbOyvZVLJPlDw+xDdzfHVdfZfp+PRCidZjsGByn6TJHgdPF8kypZydwc52xWuXauWsUaXW4PXb+cDuUCmleWxSZeJxQEWlqtODAzVmlqioTN72MfGhqBtnaOk1MjEezosHbYzfgXM/YnfhCAxnlIJEggi0VgZkYiXMdnuttFMj1whGu0r4/9McVCMkGrRWsLrY+hEMfF6yWpLBSsTIA7dpCwRyOWBWhkRGXeKwBVg9aBvl4KjX37uSYmpyhcyyVuXFQrloV0fIxtK5YowCR4zNIlbEc6ZbkpmsXxxsbYvslJtiGV4nr1qTgjA0oAuqzfS8nfVyoqWU3GGlNNA3p62d+pKeAXv2Z9wKlpAzOznDefj+6NPh/7PKriEj1uYOliCuQHNvI+7uigNbFmcC3k8hS/0zOcn1blTlku8xyjo8q6FOD5PV5LlA8PW1axqSm1KTFNq2AoZFmP5+b4m0yG69vvw0L9tokJrkEpuRaODHLd5XK8v5LKhc60qlYqQLlI0V0ucQ2UK3zWgEsOPi/dRh/cRPfH6Wn20aNbVuv5ebahp9uBhgaKlfZ2ii4z3f7AEVqSpqbYT4+uYg9BkVSr8jkSqWP7w2E+F2tV3ictat3OzAGTE8o1ssL7NBxWyU50jktJuZx7PDyfEGxHRrlnFlRscD7HZ2kmy00FCJ4vneE9MzHFZ7DDwXWfy1ueCfk856IuzPncs4fPrrk5KzbV57PiNpctU/M0zuMzGbbJ4eCY+nwUcaeDLdCezqiW4dzzW7i2/RAoZVB4xfdR67oQ+i0fRvHaz6Cy/h1PiVT6jxbV5S9GreM86Lf8OyAlaouuhNFyFhwTO1G64iPw3PFJoFI80818yiGfl/jghwz8v7fyxfbVrwOf+aTAF/5TQ6nIWkGveNmZbuVjw1vezIfzz3/JvzVN4D8/w6Lan/28LdBsPL7IKMtPTXK3tL6B6y/gIxm5+15FdIskgz4fSa+Kp+ffZVqyxidIUCVINkZGmdo5naUwEODj2q1cnZoaKRDM75JJWkN8PpKebI7nOHiQpGZmlhnrOjuB9espYDzKqtXUuJAkFx4PSUIqpYhQM/uQyZBMNzVRLCUSKl36APu3Zw9Foe6x3JE8Hro1zidJcuqjvN7qVRy7wwMUT16d1pR0yooJmZ6m4AqHSCZHRnmM28GMcvX1FKh1IZLccolj09TIMZ2ZsephZXNMf37woBVPt2yZ5dIpNGbDq1ZJNksl7qJHIrSOJpMUiZOTJGQ7d7Lf+RyPFxpdp4Ih9ntigmM4cIS74LpXxR6BfWpo4NxVKhx3l4s7/MkURcbUlLJsKkvMkUGO13ySYyQErQsBH+ehZnBuRsckKhWS+3SGiR0iUZL2knLBdbpImPv6gMVLgDvv4thJw7KcBfwULU6nmV2S/219iPNyZIDEeGyMv2tpIsFOJEiMJ6c4t6m0WTuNGUoHBihkcjneAGbyitERnicU5Bx1dtLaWV/PtZHP8bgVyyhqzKyWF14AdHYItDRx7pobOcahEM81McFxaW2ltQ/g3DudJL8OB++5YsG6L+sjgE8XC5aegJ/CbHpaZQl0cD0ZkvesQ8VPJlO0xuo62z83Z2UudLm4btzKHW9qmr9bsZzf7d5jCYVazVq3ZoIcIQC/sqjdcTf7EQzSqtnXR6tlpcJzVqpWGQKfn8+j6WmOoZlh0acEgYRyK67jevL7+PtKhf/6A3SJrNW4RhIJXlf3cG5++StaxbIZinfDYP/qlJhas5qbphklyjraufb9Po6fw2kllHE5lIjxco5nZnifmWU/sllagSen1fhUlUU/R8teqQx4/cqVVudGgPlczeW4iTKprNOZNK/Z0cl7a3aO93tePafn51hb0enguvT7VTbXGse2vp7nNDO4xuPWRlh9PY/JZLlOdF2Nr7r/SyVl0Z1iQhQhKGg7OugyXqnyeWJumJwOtkB7GsO18Zvw3PpRVJe9AKXnfxHSG0Wt43zkX/Mr1BZdeaab99dDCJSu+ii02YNw7vo5AKB0xYfg2v97GE0rAKMGz80fOsONfOrhxptYK+R97+EL/H3vETjnbAr0+zdKvOufBJzOp59gPxrrztXwT+8Afvlry4rW2irw/96kEi/kbFdHG48fAgG+kAs5uviYmdVqNYqRuhDJTl8v3WCE4Ivd4eTua1G5shWLVpC800GCoGnA4BHgwH4SF5fyQp+bZ3zQ5BQwcJikyOXiMYW8SgwgrTguvw9YvoIEZ3iYxPG++2gBSCZJDg7ErfOUVMwOQPLR0MB2zc7yXIUCSd+rXkFi0txsFWquVtmvcslK5NDRRlJSUjvOpjtkMETLSaUC7NlnIKXc0rIZlfVyEYnKpIrvyGRIbA8PcBwdThXHpOJe2tpJNicmKQz6FlGI5LK0PAihYtJqwOHDJIHFAsWgz8uYQaeToqark+fyegGfIliNjey3aSFNpSmUHQ5Vr0rFkLW10QI2PcPxmE9whx8geRwd5RgH/Fa9rrExlSDASWJdVkknwiH+29Soks2MWnWwolGKAki6fwV8QDgsUFMEvauLa86hcY2NjikRq643NkbLoe4BHtrJ+ajVKC58PgqiSIRjPzJCywNAi8rUNMlptQosWsQxnJ8ngZfSKgUQVnFH5QrdTM3sfLkC++3zWe6Vfr9adyr2KJGwLJh+P8c/k+V9sXIlx2F+HkgmJfbu5xqrVil0Zuc4z35vGZUy56r/EO8Bh1NZDAPsT63KtjY3s10SJPxOp5nognNp1rJzu2glrlY4hkaN96zHo5KhZGgddDgoVCanlKVcHX9kkP2JRrmO0imus7ZW/kZobGdPD9dURbnTFfIqNbzLinWNH+S8FgsUobOzvP7MDOc1kbSSnCxaTJGgaSqJRlhlxpzjmE1O8rp+n8o8KrkGagbd/VpbKWhM9+HZWXUfOth+s2i2201RXCwAu/cy2cqhw0yyY24uSViuw2bGWd3LZ2apRHfqaETFlBUpfBJJupKGgmyn6QKuK6uj7qFbtxlraRjcVAiHLau4z8c1ZBjso1NtTuk6z93VQcvcBRfQ/bJY4qaFBDdNfF61AVTiufzK3bW7i+cU4L1eLnMdRyKcOymtja9Eks8TWWObInUc/5RyT8/nmCW0UubaPB1sgfZ0RCkD/Tf/D+5t30d10eUQhXl4f/tmaNP7AKcbMtJ9plv42OEJoPj8L8Bz75cgstOQoTaUL3gbPHd8AqWrPoryhn850y18SkBKiR9fL/HgJgMvfiHww+8D3/8h8KpXClzzHIoxw5D47KcEzlv39BZnJlpbBc49R6X9VXjt3wosXULLWq1mW9JsPD5YtUJDoUjSt3IFX9j5vOV6BgE0t9AKNj3DNRkKKeuU2rlOpynQNlzMwrr19STjbW0kzeGwEhpK2PX2sJjxvCKwhuR3QRUzZLqF9fZags3jJrEZHiEJyCjXRq+XpDZSR3JUrZL8tjSzf24PyfkF55EwAjxfJkeLXGeniosCLVKag8QiGCKBLRRI5oNBRdqKjKPxeKxU9MkksHSJAxOTJNXt7cBLXkiSUy6xrYGgysCYA5YsJRmbnyfJrFQ51mbCBY8b8LhorRkZtaxX1SoJU7VCYlQqkQxHwiRrZjIIs07b0CDb2djIz/v6SBpzOZL05TG2tb0NWLZcFTGeoQWoVCLR8/vpLmq6jparFLxdXSR4kQjXRH2E11m+jJYeCZL6uTmeq1bjGPj9KuZRWQe9XlVLTGVBzOclzj2Hn5fL7J/LSSuamdrbjJczk7VkMkBjPddVtUpB4vezJtycShrR0cnj2lrZ75CKt6kZ3CSYUa6rpij3+bgpYcYIGgbnXoIiI1pnZTAdGbGSS4yMcE7Nc0UjatNCEe7RUZVZtEryOj7BOfa4ec8ZkuPY2Q5E9Xmc57sVNbXx4HAy3mdqihsL+SKtc4EgLUrZLK2dQ0N0FZXqeqmU5ZI7Os52mHGPDocqOKxiNyN1VnF2aQCFEtvV0QGctYbfZzO8xw/EGbPZ0sJ1FA6r2D2Hymg5RZGz4WLLFVbT+P9Co2VX91pW91yOFpmuLo59Ls8xqlR5Hw4Pk/wn09wgMDOVenQKj65uVQQ6w02VqnKPLRZV3GHCcsMbG+d3o2Ms8h4Icg6KZa4Zt5tuu0ZNQvdw/JubVbbZFNd0scR7Lp1RMWxBWmWjUa6zq69ShcCLVoZIQ3J8QiGKt+5uPkOTSSUOXVZCnZJ63vi8vI+zSpg1N/K+czh43rl5zsn2nbS4plIUn9f/nHMoNMBdy8DlpoAvlfhcaqjn2BeKfK6OT7D/bo8VF6gJ3quHD9MC19vD78xMpc1N/Nd0ZR0c4tzvP0Drp5nJ9lSwBdrTDCI3C+8vXgfH6BYY9YvhHHoQkAbyb7wRtaXPPdPNe1xhtK5B/nW/hQzQ4b9yzt8B1TK01CigueD507tYHf5ZCsOQ+PwX5EKs2U03Ax/8MItr/t3reMzefRL/8q/PrDFqbhL4+L9r+PZ3JW65lRYzTRN433sEfvQT4Ic/emb118aZg+nimEryJW2KkKLazU+laJmplK3MXC4XrQ7lMgmYw0GSdniAZO/IIMnY3DzJdE5lCwv4KTwKBRKVujBf4g4Hz+fxkLR0dqpaVRmSh6MzmYZDJABCkGhEIiQ1ZoyJQ7lvZbL82+1m285aQ2LR0aGsIzWm2t63n0S+UlXpzpNWYd26Ora1PkqiGPCzfekUiWChQAJkxoXpOo+r1WjZqdYY3xUK8RrzCfbN7yUx7elhkoNz1tLiVSywbw4HBeTSpcwsZ6a4T6WtGJe6MC10rc0cX7ebBLJcIbmbn+f13W72q7NDEU+d35sZ+6aneUwyaSXlaGigSBsdI8E3i3KbtcTMLG2L+vh5JmsV3U6leL1ymWTQ7+NclcskkbWaZZnx+Tg2pqsYADS3aBhS7o2GYe3+mxYe3Ush4PVSsJUV6e3rpQUFsOp+eXS6szYql7SODvZ5926eMxxURDnIHX8zw2FexeGZbluNDSSiPh/JdqWiXBtVPFZrq5W9NKdigXp6OaeFgrIypTmO0XrOZ63KNpgWF4+bggnK1VhorBGYLfvR20MBBFCQ1dfTCtLYwD5Wq9zIMF1yPTrg8wm6wmWsFPyJJMWDy0nBYhadNl3YPDo/W9TH4xaKsat7ubub/1ZrFMDLYjwWgpsxY2NWGQsBWsx1r8o6KJUodFhufV4PC863t1OUCsF+pFMU5D09apMnyHVjqCQU4eCxGVK9OjdzAn7OhUOjsPTo1lozhUIqqerf1fF5YBjq+THLMc/nOJdSKlffSQkhLFe9+ijPZbr2Tk/xeKeT8xcKso/FEtPaH4iz79KwEvS0tHDcqjWuWd2tXByLdMnUlautmTlxZpZr0u3mM2R2luvU5+MaA/j/prW6tZX9bFDutbqrjLW+e3DZhoqVWVEAvX2cf9P90unk2Pr9lpupYXCMw3W0IDs03lPmZkVintk26+r4uVmPsa6OvzOfjaeCLdCeRhCJIXh//DL1RNZRfOl3kH/NL1C69rMLIuaZBlnXCW10K9z3fhFwuFC6+uNwP/BVoJCA88g9wM5fn+kmnhFIKfGlr0js2Qt846vAxz/K4NdgEPjXdwsIFXsYWwr88zutv59JGB1jUK+Jvj6BKy4HfvQTYD5huzraeOxIJCQCfmYWzOe4Y1qr0XJQrljFY71KUBSKijx6lJCpWa5Isyqmp1oBIPjSl4ZV5Livj2Sl/5AVeB5QAs0ksGZQ+otfCAhJItraqhKAFChSDJXAoD6qCjmXSHR8flrwTDeb9nYSloCfpKZaJXkwrU8rl7OdXi+vC5BUOhTB8vloXVu+jL8tla26UKYrlcOhXMncAgEfibzfR/HU2U5Ck0xSSOZyHDeABD2XJTkMBmi56u3h700XQSGBuQSJm89r7V6bgupgv7ImlKxMb0aNbTMtUm6XSgfuBJ73XMbQmGmzy2US6PEJzlE4zPYtW0axNjVJoh6NKnc+v3KZStOC09dL4pjPWUkkdOWKFY2qzI1eIBCiRSEU4vfVKslcfdSKQ8vnacm7eL0LiQT76nFbteZqNVXsWXB9zc6QrB48yLGZnmHpAZeLbYfg9evrWUOtpqysmsb163AwxsfvIyEdn2D/6lUMJAQLOJ97DvtrFi9uUu6wiQQ/i4TpVtbYoMSjshhPTPKeGBvjHCyLWRZSTXA83E5uTExPKyuXl3M2n6CAquTzWNSZw/QMybGZddHvBf7xrbR4T02xPa2ttDzV19NqZ2ZZNK3KzY3AsqUc0/p6tlEIjsnZay0Xu3KZ4zwzyxIGHe1K/Dfxt8uWcuxmZ3n+ao2bBB4358+rrD3BEDcjhKDVLpNhdsiCCq3PZDneO3cpC3UAWLUCcLqVxWaAc16rcj13tNMyHgzzudTSwvHK5qzkRVJy/Oujyu3Sw3HOZHl+3ctsjm1tFKl+5eKXVa7a6TQ3Mtxu3uvmWigpt9qZozwIDKk2ptSzqaVZZar0WkXTe7pVmYCAssA1WomS8nne/5ksRa80+Hybn7eSeLhVohung30VKsYuk1Nxp4Lt7uxUyYVqFOKVsnUvNzQCpaJk+QON/Kmzg20yair5kp/PK7P2o6ZxzYSVZ4FZTsMwODcBv0rF7+Tzqa1ZXTvP+2JqyqrXaGZGPRVsgfY0gZgfgPenr4YozEOb60d53ZsgA02Q9YvOdNOecMhIN2rt5wAAjPZzUF18NdzbfojidV8Ebv8skJ8/wy08M1i2VOBlLwW+933gu9/jjf/Jj1txZn+5mdkcFy965okzAPjQBwRe/lLgl7+SMFRQzQffJ+ByAR/7xBlunI1nDKo1lf3PA7S28cXc1kpS0tjI/0JBAJIEoamR7kbmDmk6QxERCgIXr2da+p4uvqRjMVohOttVivxmkhkzS2IqRRI2Pa1c2epITm65lcQFgkTF46Ebm2HwmM4OiqdCnuSyoUGR4xDbd/VV3N3VPRQxsaU87uhYiUzGci0LBkg+GxsschOpI2Eqldj+QoE7wwIkVuUyx6+nG2hr02Coz5ctI0lLqeuGwlbchkvFBeXUjnVXF4lNzeD3lTKtB8EgE1o4HYpIBkji6utpyTh7rSqOLHjOUMhyuwsEVJyXEpUQFCDz8xSyySTJmctN4gfQyuPzcmzuf4DjGwiScOdyFDVGjXEnzU1sR309x7G5GVi+nPPs9TJxhNPBtni9wNgISbi5lgIBum8Wi4y76+ykICuVgfvvr6C7i0K4olw6vT6V2a6Oc1OTHCOA812u8l+jRvJtCtahYR4zcITpxjduslwXoxGOh2lBLqt4mWhEJT2Y4/vmwAElFFS8TcCvLGV5FRd2mJk75+Y4Lpmsqssn2YeeHq7NMRU/Nz/HNkzP0nW4VmVinpYWtlWA89DeDviDGtJpzmVbK7NDOhVx/+GPGb9kZjw0ala9sWoFmJ4xEA5xcyGV4lzOz/M/p5Nt93kpkqamuCfe3EzLTibDcXA5uTZbWxivGY0KrD2LYsnpAPbHKYR0L4Vjucx1eM5ay+osDW6KAEwe41VCQ/eo4s26ShijsT8A74PeborAUkUltMjTzW5inEKqo4Ntdrk4HsEg76WGBrZ5+TJaMcfHgQ0XsY0lFSc7O6Myd6qxN2p8XlSrtLCm0nTZbWsFmps1hEJc/+Z9ZW5KjY9zE8Op4u6am+gyGApxzMwSB2bZi0SCvxlUFububmaBrVa5ZqWKI/T5gPPX8dna1MQxm5tTm0sOtquvl+dIpq05mp/nOI2OKZGoNtFCIbYjmeK9PzEJnH0213ImoxKRTDL2zOvjs7BS4X0/N4eFTaxQiO8HgBsJkQjH4cEt3JDx6nze1avYUr9Poq/n9N4+tkB7GkDMD8D789dCVIuQvigq696MygVvPdPNetIg/Y2o9V0Bx6HbINLjKF36XjgH7wFcfsCpw3Prx850E59UPLhJYv8B4AXXCTz3OQL+AAtM/tfnBHw+irHhEYkvfZl+9s9UBIMCmTTwvz+U+NFP+KDTdYH3voe++snUM7jzNp4UCCEWavVE6igQdJ0xHJddRkIzPc3PMhkSnUgdyaJXEclggNaLcMiKCXG5SPD6+0kiDx8hWbjgfFraDh6khSIaJVHVdaCxibFpy2PMqhcIkEQEgxbpbWlR7ayQrBmSIkvXaVHw+Uii9u3nTntzM4no8IiyKDlJYKP17FsiSTLa1UXLRVlZyUoq9ua519DS4vMrF003yd2Vl6uU03Xs/9y8geZGZnIbHydRyivXztYWVV8uo9Jb5xgTdfFFJI2dnZZbVbXG85VKynLlJhnN5Ui85uZUbCA4B4EArWPNTZyDhkYe39GurBgdFAbLYirLZka5slXYbzMuD+DcBYIkXQ4n2+Z2WwXJ3co6Nj/H+KdEksTa4+E1ABLU7VvLaJm7AdEIBVW5TBJ8+DAFopmlzufjWCSSXEdnnwVAcAz2x1X8jCApbW2mGPf7gEW9nFOnk8IyUsd1EO+nENI0rg8zLszlZt+cyo1yTgmznh6KQpeLxLRYsn4fCnPNho9yxWystzJYlkoqZitCK1tTkzqPl/++5IXAdc+nZUuAc9HcDOg+CvquTrreLVnMuTJd9MJhZbWMAG6PCyWEEPCrrILKRdTr47Ub/Gm0BGdQVHGS5rWqNWDxYiecLmBMJXyYmWHfGxu51sMqBqqzg7/zefl3zeB9YhhWMpdajQJk5QquwUCA12uIUmR43Dy3mXl0YJD30FlrWFJCqns0EgagNmWyKh517RquzXKFY2rGaXV3c76Cfo6Vx817LRzmGpiY4Nrs6eJ4t7dxfAoFCvupaa652FJmN+1QLqK9vbz3nRrv6yWLgRdcxxpq9fW8ZsDP+Xc4gNUrHfD72bZwWFnEgtamiqbi7YolHt/czLW2/wCfOaNj3MSoKVdRh4P3ajjMOa5U+dn556k6cWVaumZUrFsiwd95PPzP6aIYnptjvxf3WQXQ16xmYpD6es7nK19uZc71eoHYYqtcwegosHKFwIXrVVZML+/JSITPI7NQNUBhuHgR76lMmn2JRjmuLpdV+8zh4Ly1tPD3Md8ORAq7T/v+sQXaUxza2EMUZ9JA/m9/jvKFb0N5w7vOdLPOCBxj26D/5f2AJ4jShvfAc8d/AK/5P5Su+8KZbtqThpFRiY//h8TUlMTXv2ng7nsk/nwD8IX/FGhooDiTUuKL/y3xipfR7e+ZjKYmgVe+HPjZz4FtD1GkXXuNhovWA9/4FhYsazZs/DVobdXQ0U5ycO45fBlPTAJbt1HkQFpxKsuWkXSZRDJSp2LCnIz5EYIkzcyaVygCEEyCsHQxX/7lsiJhBolLUyNJRXMTLV4HD5FcNbeQQC9eRHLm9ZNUT0zQ/WpykgQvk1Hpq5VlIH5QEf88214XsqxfuoeWl0CAgu+Ky4HX/g2JRliJmbo6Eo1QUO1oN7FGoVvF0/gDJOuFAvtbrdI1ye3irnFjI8f1mquBN/ydQEnF6fX2WO5SqQzrN+3bp1KSZ0holi4h2dm/n0TM7aaYTKU4N5EIyWAuzyyBO3bS+pFOkzzt2MEMjvk88JyrSW6TSRUHd5R10+Gg9cHMhhcKWtVqalVVALeR7nyNjVYsWLnEdRCuY7v8fgqrVIpWh7owBZM/5MCR2rkLtbaCISuDZ7VKAi/Ase0/RMI3NEziGwgINDYCl1zMa5kul5dfzrXV1ETiO6HcL9Npq7C66c7nctEyUlfHa4ZDXKsmydc0/tbjoQj1emnRdLl4TSGYDv+s1QLd3VbJhpFRjueiPo63odxCQ0GrYHWlRAE0MwMU8gJjY2xDRweJe0M9XX27OgWmpjlu8/PcBNEcSsQ7SfDdMoeQJ425OVpdTEtUOs1xyKcLkPk0HA6O3fnrlEuoMFCpGAgEaK0WGtfy0qVW5kozWYvTqTZVPFxvkCqzoUpwArAvg0eALVtVBsYC12JeuQb29PK4SB0/b25in5YsoZitKvfU2XnOoVnja9VKlYwoSdGve9X9p6lyCk4KuT17OEeLFlFcBINcl6kU106hQFfJsnL7a2pivw3DSmIhJc93+aUCDfXcjGlSyViSCf7OLNFgunk21AMPbKxicIj3aaXMzaVQQIkeXaXlL/OeqVbZ9oCKmVu2jGuyXOa9EQhQfJoZGotF3gc9PVxjDgcAjaJsfk6VCqhwrfr9FPbrzgXaWlRWzAKfBS0tfF4MDvIYj4flJzIZAUhuSKQzwOatEprGZ5XTCYyMcd13dNAq53So4tLTVq1EM6ulx8P5dDi44WS6eZt1KssVPv9277aKWB/MLMOOiaWnff/YAu0pDEf/LfD+8vUw6rpQfO5nAZeO6ll/yzf+sxDli98NVApwP/htVFe/AtIdAOI3Q5vth/fHLwFqlTPdxCcUhiHxuc9LvOTFwLpzBXJ54EtfYa2zvl5LiN10C1/Qb3j9M1ucASSHb36Thn/8B+AjH5UYHqEge9c7BW6+Bfif79sCzcZfj8YGCqLODgqgpiYSl2CI7j7VmpVAI52mQHrhC3j/Tc+odOgdwBv+jtaxyy/lrnFDI1/UXpXU4WUvBa68XGBRH0VONErCmy+QkBgGf9PcRNJ65AhFmFmYdn5W1RtSFg+TPDY0kPy0t5HULeqzrAhSAtddB4TrWEQ6nSbZzBeUBW6Sx4RC7PfyZSrRhIovCYfZRk1IBAMkWG63FeMDkOgs6hOIRDTWUPOytpXXKzA+TjLT3U3yfuEFVlITobEdHp1JFMyMhIUiABUHUshTmPX0UFxqgsS2LkzX0YYGfubVSVgvOJ/j4/fTXSyV4fwuXcK+7NjJlPv5nEqY0s7kQ9GolbzB46G1MJ3meTVB0pfLs43ZjIqpq6OFYuVyEu2uToq1jg6gscmBpvoKmgMzmJ21LInmeDU0UIg8uJmuWp3tFLQjo8DcnGTWSDUeba20ghRV7JLbRWLa0mJlA61Ued6pabFQ8Hh2htdcuoTnSqV5Pp9XpcNXCU0AzremUXhK8LuxcWDPXomJCba3rZVzX6mQnLpUHOP8nCrCrgmsXM41DAAtLQK9PWy710vhe/gI5/HoWB+3ikns6KDlw0xA0tLCNVKpcI1ceTmvp+s87sggBVxfWxZOF+dv337ekxf4/oIVkf0Q4G/a2ygaAWvtTE5ZBZmrVVqxmho5901Nyio8Z7npOZxc9+ecrWLb6gEplFtpq4DHQ4IejfA8PT3AzbfSUv6yF9Ni3NYKXHQh21NXx+8OD9BdulRm3S4h2HddV3Fy4PhOTPKZ4HLy2bFyhXLDDXAdtLdRHHncTJCx9ixagu7fSBHS2MB+9HTzvjPjTJNpPvfq6zkvZhKUpkYlbgVQLXNzJRhSFmMvN3caGzgWzY1c46UyY7LqQmxTZ4dgdsq8ZRlsaVbFxbv53Fm+nBbBdMZK/COEKm4OPs/CIa7xqoov1RwsObDuXG5MRCNcJ/kCcPsdKvPsJEV9MMhYPKPG6zY0qILoBsd2aIjP6/1xjrHbzXFzaNyQ0TS6fnd18J5atozPKGnwu7ZWrru6MF2bu7uB889XzyR/Civ70qd9/9gC7SkK5/4/Qb/hPZDuACoX/wu05BC0uUNnullnFk43itd9Aa6H/g/a2DaUrv4YcO/XISEgcnNwbf6fM93CJxS79/Dluv5CFiy9627GXJ291hJic3MSX/uGxPveI6Drz3yBZiKXF1i5EnjfByQSSYnGRoEXXAdc/zMgYScMsfFXolhUqcJHudPcp1ytolFg3Tn810z+MDlFMbVpi8C5Z/PlvHoVSdxZqynitm1XSUZKDKA3CTpr+whIg+RoyWK+7FetBK66ggkJjJqVla2xkYTPTEmu1XKoVGro7gZe9AKSOKniK4QKfjdjLao1K8uYprEf560TePMbSeRam62U7bfeTte7XM5KFJJKA8NHyggM3oDmJpUVLUPyWyioekBOK8X+9JTEXMJAYz2vOztH4TM5CcwnBC67lL/bspXX6epk+/t62edFfSR6HreVKTOTZjzVWWsEmhrpnlhXp+qSzZM8tTST+LrcJIRXXiFQq5FYF4ok7V6fVXuqvh4IR1QcEPg3oOoqqZ39+ijnenqKIqWtlb/3uNn2ZIrjUFGEb3CIY798mYCmCXjcQHYqgQ7sglvmUd9gxagBXE+RsNV/v59z3twk0NcjcNYaByanAAiuE5eLMcf9hyjuOzpIIKMRiohgkFnknn+tmvuqqvPmpkjweATa6nNoaab1V9NINEslWkh8Pq7DYBDIZ/mZmf6/vp7CEWodBYOW1bGlhSR76VL2vS5sZaIsl3ktf4DWobLaVw0FTHdegU4lyM5ZSxGcy/LeikSAs903o13bhywa4HC7sP58VXxYWXqWxSiQQ011mMvXLVhQfereqdWAOg/TqlernLfBQZ6juZl/l0pcG34/x0rXBVYsF3jZiwWe/1yrALx5T/m8FHnFItATGYczO45153AdTE1JZtVs5rjE+0nU21o4V/fcZ5VpyGSUm960Vc6gWuW1OlSyi1SK8+73c8MDguvPTGqz4WIeFwpR8NYMui0CKgGMk27GiQStWf2H6UK4aiXvcZ8PC5sAAT/Hcm5Oud56uLbMeDSAfWxsoCAKBlRSn1luSCxaRJFdKFCEmyI9GOQxwYByiy5KBLUkEklg/QX8rZkUaMPFXHfBIOsd+v20uheLFKHhEOfVobFdySQLrQvBdRaL8VnkD9CFc+lSCtewiisOBSV8Pma/XryIYqpUZhvWrWO/dTfvTXMMJFTCHyfnq1zlO+LQYSsrZlm5Ya9fz3vZjEXesYvtiYpR+GcfOu37xxZoT1FowxthBJpRfOm3YQRbUFn396gtvvpMN+uMQ0Z6Ubriw9BvfD+MYBuw9lXwbPomCq/8Adxb/xfa9P4z3cQnDGetEfifbwv89OfA+z5IC9lVVx4rwv77KxKXbMAzpubZI8Vr/5YxeGefzTEAgPe8S0DXgY88u0IUbTyOCAQEli6m65vXK+ByC/h8FD9z8yoTWT1w3rkM3DfTJo+Pk0DUjd6AOn8BBw+p1PwVwFmYhs+rMsmFzOxuApASY8NldLSTLOWyZvC9gNPBrHulMneIO9pJZF79SuCSS4DV+r3wFsdQKpJ4BEPKfapCQjozo1y0QPERqeO/c3PqnJpAICDg9bFe0urV7HNHh1VjzFBWnmAQeP51DlSazmKa+iESpMsvZRsnp0g0ARLSa54DzM5IZLPc9R9XxO7iiwBHLY/SthsXinxXKnRb7minFaRSJYl0uUiAL76IY+z3k9xXqxIXXAAsW1zGFRsKaG9ne6em6QYX8HOsDh0GbrxJMjlCNwmXptEFMraERKuvV6BUJNHz+6zSBSY5jcUoRHOqH5esr6K9uYRgiCStvp7kTBpMDpHLcbALBRK6rk6KyOVLq+jsUNdRsXtOB/vW2qKOlxLFItOQA3S3CgSApka2saWZ8yyE5X5ZV0eLBCT7bkiuo75egdZWgUCAxNHvNbC0aRxuJZgujN6FC5dNYGSU/Vq8hOQ0FOJ/fr+K1avwfNF6rtkXvUAsxLFNTFquX2acWTRKIjo5SSI+PMLxFgK46x6WVjDdHy/ZwHk+chioVCTJr0OdU6oENGGS3HKhilXds6iVi6iVKnQvrfBcZnFwrxeYn6vCqFawqA94XucNWL64hN5eznuxKOH1Clx9Fe+T3l72jQJToLmJosPMDggAfr9AMGjFbzW3WJbPQJBCa2RUYHSwDJcoQ6i58Hm5CdPbyzEJh3g/RiMk+4YBFPO8Z9wqlirgV8+AHPve0c77tbeHsWEAzxEKMmGH5uBvdTfd6IIBseBWmEjQLVgIWuGaGumeV6txg8Gr8/5va1PzKTn/ZsyZplluet3dKt4vy42eQICbHmZNUkPFRVaVO+XomBWX6FSbNnNzPB8ArFlFC2jUl8UFDfejXALu28jnQLFIi2BzE+s0Vqqcf6dK+qN72f5IhJtEpmuhuVlw2aVsz1mrxYIbq0MD9u7leVwuVXYkzzUWDMgFt9RiQbXX4EZQTw+fmYNDdDU3amxDNsvnQbVCcR+po7ifmqIQNiS9KiCAchGYT1ouqoPGOdhauOa07x9boD3F4DhyD9x3fhau+F9QOfv1jLu66YNc2TYAANUVL0atYx30Wz8KXPFeaJO7oCWHIfUwnHt/e6ab97jDMCT+7SMGdu4yUKlIzM5yV/3Vrzz2OCkl1p0r8M63PbvEGcBkDqUSsGsX8KY3sFh1Lgf82/tJchIJ+/55NiEWi10bi8XisVjsUCwW++BJvn9tLBbbpf57IBaLnXWy81x2qQuXXsqd1VJJwqsDF14g0NNjZcIzieyKFXyZA1aihUwGkKU8igVaX847u4g+bQs2rB5n2upOWrxCIQFU8jg/eCuiEYlIhC7Mg0eAbFZiapoCxUw4oGkkjJu3MgZlyH8tZF0XIhG6j137HG5OlEp0yerpBqQUuO55TCoUCDBBQUuLJUQSSYn4QdM1T6Ba446vpoSEScKuvgo4e00NrY1FxnHAtMaQ4F91JXDRRaoYsQMIhwWWxRx0kZNWrNC+/UBDkxNtPT4kElYtrWpVIpkkkXE4uCNeKjMeq71dZRmMkpD5fCT6vZ7dSO3ahuuu5XkWLeK4rlHxcz4fLYV9fQLNzVZcW3ubSSrFgltlpUrXrqNfudEoXbIuuVhlAqwBayPbcZbndvR2AZAkmv4gRZhZHsG0xkACsaUCzU0CbmcNTY0C3d0SjfVMSJBOc5za2oBAeQgrjRuRzZEMtyrXtz37gNvuqKJUJumemGTbTAGx/gKgLkxxUR+l4DMz+jocwPoLBCoVIOKeRWNpO7OAgn2PhCqoqrixTJquj4Zhia7GRhLQfAF47nPY/5/8TOKue3iONauBCy/k+td1EutMVhWglhSYdSous6GBySsWLwZ62vLw+QR6ewQCflqtrrqCa23Fclo/NY1jkC9QmOrKwul1FFEsMWGF0ylYd0y5wI1PAFqtgJaGKpqbWeZB14pY1Ac4QlF4G5uRSUuMjHC9d3bQUrg8xuLLIyO0bs/NW+M7MyOxaTNdDl1uinink3NTH6XlbukSAN46ZGsheL3csHC5BGJLBaJRsSAourvYxmqFLnKXX05B5nFzfTkcFDdmzKDXC2WtFogtYXv8fl776o7bUC8HoLtVUXOdGSV9fq6F9jaOX6A6jtHRGlpbzeQnAh0dtNaHwwLBAO/NxkbOnZSq3EO9wJpVwNlrOH8AcO1zaZ1b1OfA0qVcG+k07x2PG4jFBLxeilPT1dHrVWUcYCVlmZnjeksVA7h9/JqFbI61msDSpdygmpsT8Hp5vtWreC93djCmMJWm8C+X6FrpcpTR63wIbg+TiOULApoGdHfR4gioMhPgpkFjAxAOsth2U5PAfILrbOVKPmc8HibGGR3jMyC2lLFmECyPYJac0HUVS1dnldzwetm+bJbXc7koPEtFPievOecI1nUdPtlrZwG2QHsKQZvaC/3P74Frz29QWv9OwN8I96Zvo/ScT1pPCRuAEChd9TFU1r4WQg+hfNkH4bnz08i/+icoX/FhoJw70y18XPHHP3HnJt4PvPkfuDv0T+84trZZKiVxsB94yYsFgsFn51rRdYFPfUKgp0fDrbcDX/qKxBWXa7j8MuC/viif1UXNn02IxWIOAN8A8DwAKwD8bSwWW3HcYUcAXBaPx9cA+CSA757sXMEghf+OnXwEBwIUCWZh1miEpLStTSy4PQFMdNDYaO5Aa3AXxjE9bVC0uIDm0g6Uy8Ce3XRdTqUkIDSksw7k8rx/F/eRJDQ3C/R0q9pcyh1Mc/CYC8/ni//5yzZhSdMklsdIKsy4OTMNf7EEODSJQ4cpfNyOMs7Tb4Q0GK8CkGQtXkQCaUgAUizUM1qw0oSBuVngwY0VzB+IY+kSA83NAksWMwHJ0BDd5nJZlZkxSwEYjQq4nCRAZtHsTBaYmnMj23oFMwtWuUNvugW2t3N3v7MTWL2KY5DLkoQHg4w/a2xk/NxctR2j5UXQdZVBMUFxnMnSfezcs5UIBgnz0qVKKAor1kqA6fnblbXC4eDnTifQ2iKwehXXQlMjyXliJg+3i0K2ro6uiWaCFyEo2t0uzo/56BECcGo11qmrJ7GLRK2EHboHiOgpdLQDL34B2xCPMyvtiuVcC2ZjW5op2uvCak0oId3QoFLcH+L6rI8yVhegcFqymO1avJi/y+WAySmBWEwsuPtNKwJtGGyjV8tBKyYxOESLQHsbz9HbQxdEITivk5MUKS0tFDvtrYyhAzgGbg9FRXMzUKdnEJ7fpNrObKlMTqJB1wUu2aDB76db6NQ0XVfNOmEQQMaIwoATXZ20TjY3UQR1dQlceRmw6mwf5lOCFgxY6fMzaITmq1vYdJiaZomBXE6gvV1ACM6HGdenHcWSiyWVTbRKEe52A3URvovNOM5mfRSO9BheuG4/Xnn+dgj1e7+f1sKJSa6J513LTZLBIYr/ri5eu1Q0syIK9PYyAc/IKJPSAJar8aqVwKpVAh3NZTR659HaCvQtorsiwKQ3Z6+1Eng0lbejvrwHdd4sDvYD+ZyE0wlMzwiUShIeD8XERRfyWdbWAixZrGHNamDzVgNuXeCNf8f1Iw0+gxodw3DlJhYsicEg38O798iFODgzMYlpjQNoFQQoeNavB3qi01jfdD9aWugG6XJJDA1xouvrgfZ2CvihYctLoblJxVhmU1h/gQGvB/Ajgb4IJ7xSBp5z1bF8yMxC6XLxnJdsEAgEpKopyJqXsaU8plQCLtmgYdlSruk1a3hPzyvRXilxnYfDXBP5PL0DolG66E5NM5mO22W5Uy9eREv8pZcAHq8ThdEBnA62QHuqoJCE/qd3wfBFUGtdg+pZfwP3A19D+eJ/gdF4+kwvz0p4Aqh1XQC5548w/I0w6rrg3vULaMMPwv8/V0Gb2numW/i4YHJS4tvflfjQB+jaUqsB//Exq9aZif0HgN//0RYgfX0C+/ZLeNwS7/9XgXJZ4qorgHvvtxOGPItwPoBD8Xh8IB6PlwH8HMCLjz4gHo8/EI/HE+rPBwF0nOxEdP0hsbrueRr04bsQciYX0qZfeglw3fOUkGqyXHekQStBoeZDTQo0Fraj2TeNQECgVZFsCabOt5INSKSSBkpFxkxu2Ubr79w8s9oZhkCkjuRYU7e/rmJqjEIWDZEK0hlgcFCy9pGKj6mUaQmpKXezri6BugBzRGczEgllSTFqPO/6CwWiEQq3DRfTvarVO75wzu5u4MKLfaj1XIxgQGBunlagUJAukQBFjwQtLe1tVlr+xYuA51zFYzZcJNAaySC98Qa0NNaw2vcghJTweOiepWk83u0EOtolwiGBCy4geezrpSVDE8DKFRocviB6F3vQ2ipQH6UINgsod3ZQBN9xl8QF5wOrVkqEgyRi0QjdwSN1ZopygfY2FUenBFp9lKINANz5YTSHk3j9a4GzVkm1Rjjvfj+tesEgcM653JHXNEvMm2isr8HpBMZGJHJ5ZVVQ83neOrrOJVOMDcrmKBbSaQrOcEgsxMJ0dNAKEIkIPOcqvhMmJoH+vVlE5BBmZoCGBoFzzrbeFaUKMD1LVz2zf6abYlklUGlr57iYfRYAcmMj8OUOo6uTSQ7aWikMsyo+L19g7TbDsAoJaw6KYlOgmIXddV1g0xZgLu1BJrR6oW1LltACVKtZz2lpUJQZhhIFgmRXE0DYnYLHVcXyZbTAmUXOq1XGFG1Yb0BzOtGshI3TITE5CVSSc/B4aZW5aD3n+sLzKdiFYEKT1larBpk5NwvroYH3eiAoIEAS7nQKbNpM8TWeiMAVCuHA/YMY3T+BtlYggHlgzw3IFwSWLaWYfWg757SjA2hskKgLA5ddQguhrgOdnRJzcxL5bBWrcRO8uoDbxc0BgBshDodAoDGCYGcHXZmn6UUCgJbJXo0WXBWn1qJPY2XnNM4/TyCV5kMoGpXWs8SgZa9SodAHAI9M48W9f0GtKjE6yu+PDLLAc11+J0Kp7SiXOU6ZDD0N6sJqEyPBe9/lpAWrudmq6wZwXufmgLwRQFt9Dq0t3ABIZ7imXC4JQ4WQZ7Jci8kk3RJ37gZSaYFLmu+HOzsMlxsQpomOXcOtt0vMz0tcdol1/4XCvKcBXsenS3R3cX77+sRCWYByGZidlYjFuD5mpgWuvJzPFa9ON9HmJmXpd9Ji3djId4XfL7jZUqesiir5zdQU++7zCgS7unHQ9VycDrZAe4pASxyBDLZAVMuo9WyA587PwIh0o7L2tWe6aU9tqLdb6cqPwrX9xxCZSVR7NsBz078xvdDTHMMjwIteSHHxk+uBz39OLOwEmyiVJC68QOAD77VvZ4AP1nxBwO8XONgPfOJTDBa+/mdAMmknDHkWoB3AyFF/j6rPToU3A/jLqb6cnBSqTpeEqOQh0zML3xkGMDom8OBmklG/nwIhEGAGNpfMwyFL8PkFYkv40i5XVHbEgBXY7/MxBm1RH9BYT8Z8vvcGBOQ0HBpQzBRRZ4wsJGfwqF1kTbnl7SxdhZy7E7EY4HYfu2OsORgjF/ALXH4Zv4tmt0MYZYTCEumM1dfBYbPWlcDwCHDrbcDcnIFobgcCeglhZa3JJAsI14bhcmuIRpTbVreg+w+AYtkSHroOXLTeuRBjZroaAcCqtX50nNWL6VnAF3TBq8jn4kUUJm2tTAA0NcW06w31AldfCaCcQ1ubgWCQhDyY24927QCcTlocXA5anJbFgMr8BLT0OK68XCAUZPKkao1uasuWGKjODGPduQIeDwWV1wvUDIm1vnsAWUNTk0BnB8ctWJ1AvT8HKS3m7lD9jESswrb5HK19S5aomMWj9oZqlSoyGaC1RS64e5riwu1mMhCzoLLfz136Ky6nFaVQ5I58rUaimDvOWcTnBVoiWXRHprFu7YnvPyn5m9lZwO+1svcBdLsrl1VxbkG3NoBk9LINciEhzcgIsGuPQLyfBLevl1aP1hbOuZlu36hR/EYjFGZer7lmGdfpc1cQSO1cuP6hw8yCebSzUFQR6bY2xr5JyfXf1gbIahUi1LSQSdEUFC6nwJ//Ahw8WENjs3NBWDmcHOeCox5+dwXJpMSmLQL/8TENixcJSGld+2A/LVlOpzU3pqhYsligo8PaZPGp9XzBebTotDeXsS54D5qauNFQqQDSG8ZE6HLkc7T6rlgmMDZOa+UF51Nkn7dOoLtbw4tfQAExe+AwXMlDqBZLcDlrEJBYd66VvGZhzjt7EYz6IGHGO1oDmM9LBILM2rhiOZANLMFIpmPB+yZ+ULkHesRCHcFqlf+ZVi6tVoI/wPmtqbT5a1ZZomN5w2G0B6cWxrlmAJ2drMm6dAnwkssmsH7VDBwOgWVLaQn3+bihU6mwbl9blwc3T1wLKRmr5/NRZ1UqykUYzNT50pdw4yCf43oaH5cYHZUo5KtMdx8OQkKDVz0f/T6zWLdAa7OK99WtudQEn8eJFKAiOHHlZdYG2Nw8cO/9vIdLZboDr1hOK35JiTiHk9bffJ7vA4fG+btovUBTs0oyoltuz7rOjZT68j687TmbcTo4T/utjScFIjMF6fZDm9qLwiv/DyIzDtfWH6Dwd7+3XRsfBmLFC2BkMnD034LK2r+Fa9/vUXzZ9+D95evg3vh1lC95z5lu4l+NZFLi/PMEOjsk3vBm4P3vxTHp9AEgnZZ401skvvB5oKfbXisAsPYsgbVn0fq4cgXw318Q+OCHJYQAPvxR4Ec/ONMttPEE42Q3wknNp7FY7ApQoG042feapiEU9GDjxirWneuFruvQIwF0dvpwZLCClhYPGlX9wfp6Aa9ewUXrXUinJZKpMjStC15vPby6B3sfcmL52T74RAGG5kZ7h47ZuRo8HgeqVRfqghoQ8CLg0+H3+3D2WW4s9ubR1RVCc6iKmU1xVKt9CAUduOpK90Ibg4E8egs3wdeyEiO5XuheDdU5iUhE4rxzDcwnJM5d54KUAtseMuDVJQKZHFyyBN3tx6JFTgSDGoJB4N3/LFEqcQe4u8tAU2MFiaSE2+tCzfCikHcgm3XjyKBAbWIC1dL5CIUcCDumkQtH0Vg9hJCjEb2rohgeqqCuTmBk1IV02oDf78X2HVXsO+DA869l+6VRQ7Z+Bfx+J3bOnIULlvrQ26NhzRonxsbL6Ox0YnXdsRtPlYrEUnkLzr/iWmh6ELWahL97JRoa3QgGg3C78jCqEvPzLjhdQFNxF+qjAsHgMgphABdeYGDHzhqcxXF48wcRDFKNGIaBxoYKejor6GgoY8jjhKF5EAyyvfWeFNp9OiCWYWLChbZVOtrafTg8UEE06sBLXyLwo5+U4dU1NDfrGJ+owjAkXC4NwaALfn8VaaGj5uvEknOXor3qhdNZXehbKOSC16ujpcWFq14WxI03VdDX68DWbRIXXeiAlBp++WsDHe0azj1bQ1eX8xhX9+7uGkqFNuRGH0DDXAHB1S88dr0vyWNJi47ULg1rz/IjldYwO+jC6lU+tPWF4J28G4ecfmT1NQiFXHjNuluwdvXFyOyYRaw5j6G0G0JoOP88J2IxiSWLNNx+RxWplIHGBoOxT14NPT0sYhwMOuFwSuheiWxWolqpIhj0oKHBQJ0ji7wehFfqCAbd6OgoYeUKgXDYWtu5nITbVcDsjEA+X0N7mwOtLV6EGn2I+AtY7d+KurqrIVPjCGT78bKXXAYpJd74egP1rhB++p0jgNOFpSt0hNsCWLXSi8GcgCfgR7vXi7qRP2Lb7WvhaOhGOOxAKMR7uK2tBiEEerq1BQtje7sLLS10kR0epvi97BIg4q8iGPQhnzdQrQKNngRcWgldnezHTDWASCCDXLEIn78JU9M1FAoazlojMT0t8dvfVfHiF3kwNFTD4p4aklkHisUq/A0taOwESm4n3BkngsEABoclUskq2tt5TwSDbsjJcYQcrQiHGhAOG/DqroX1mkzW0Fo3i5DDQC7nwaLAEBwhN4LB5dD1InQdODwgcdWVOtrbaqivF1jUp2FmpozeXs6fRA4zJSAFL9YtdSIULGF03AGPDgQcGpJ6Peqam1ByezE7W4PX68Du3VUsWeSC02WgwTGDoKbBq3ciFHbiZS+lsLv3vipKZYlVK53wZvZiGQYwNHkN1q1zI583WEZACNTVOREMCqxeZUDTgHvvK6KhwcFC9S6BqnRizUovAm0BTMbn4Hf0Y1i8GH6/B8+9xnp2dHZyzqanDZWqX0ehaMAfKKEh5EI4FIBXd2HJEiempqsIeMroWOvGiuUuuN0SXr2KaNQFISTm56vweunx0NLshN8vMDBQQbEINDZ5sGoVr1suS1x2WQWlIpBMVREICEQ9KayoewCouxx7bt+Oi04a/UzYAu0MQyQG4bv+lTB8URiBZhgtq+Ca3IXScz8D6at/+BPYAKQB165fAA4PtOQInDt/BpEahbH6VWe6ZX81pqcl3vBmibf/o8RNN9Mt6OorjyUqUkp84b8lVq+2xdnxqNUk3vtBiU9+nOmRv/dt4B3vkti9Bxg4Ujtm59jGMw6jADqP+rsDwPjxB8VisTUAvgfgefF4fO5kJzIMA62V+7GqrRH5fDf0YhG1bBZj43msjO6DNu9FoHMRAKA4dgTu+Tyy2RW47XYmqUl3rVHZ8oqIRivI59LQswdQEx6M54pYsgQ4f10VUpaQzeThLBZRrebhckmE6yqYnC9g3/40hgeBbnczOpw70dK8Av2HisjnmfyjVJIouOqhOzSUywXk88ziNjomsXMXk5fs21/BshgtGbGlwMQNSVRkFclUFrWkEz4vnx+JpITPCxgGrUlrVkv091dRnq2goT6PtjYd0WgV3VcJ5M6/Eg53CeMTQLhyN84792yUx/egzh1DT7cXXq9EIgHUhSvw+/0YGiqgt1firNVAZnoS8EaAYhqZh+7B4q7LUE7fhWLhuQgEXMhkBNauyME1dRAZx9k4cEDCowO9PbQ0BprDGJmoINpA819bewWinEQm40Jzs4FCESgUa/AYEvVRMuxcLoNaTah5lYhGgPT0NFrmdyGTeQ4AWhw0B/DKl9WgD5SRy1cBIZHJcBt/ZraCDEq49LwsgotLKBaLkEYBq/Fn5ItXorfHh3POltD1GnK56kLMVKUKZDJF5PMSBX87aq5WdBsVpDM1HiMlPNU55HKNqFaLKBYquOueDBwOzkNsKZOqdHT4kM2WITQmqslmBbSpvTCifYDLi+lpibHDs1iiHYasepB/6LeodV8EuGnmCQQM6N4S8i4DiUQGxZID5UoFlUoemUwGfoyjwemEs24pisUiRGkO8b0zwJSBfLGK5qUVLOqTKBYEvD6JG38yAEe4EYPDQUxO0UrAumsCoTAWksgEA0w3z3EoY/tOiZXLPJh1L0EhVUQmU4Km0Z3MHGsAmJqWKFck6uroOurx1CBlEYWiE85CAdIxh0wmA5FJQcumUctkUC5LbN8pcU5fBlVPEOFAGR5PCdlsFrmcC8taRuByd6KaKaClpQLdk0L7WcWF+S8W6XLY3Mi471CIVo9Mpogjg9z9CYdphUnMVuA8fCsyjudictIBtxs4OBXBUncIW7cVGYcYyCIxOoJIfjcMox5eL5DJSuw/AHTqA1jdUMT8/Equ2e03wNWyEpdd2o1AaRbjQxVMTjZjUVMVuWwaB/sdmJ6ViNZzXDOZEpzJKTT4HdA9rQiHAIeztjCGuZxEE/aisVqCy1VGohCGs1hDJpNBR7sBKWntz+UqyCmrVDYrYEgJKTl/IjELb3IH9s5dh+YmVUdsiq7PbiHRXTeMTGQSB4daWYy8TGumw1nB0BCQWeSHo5JHoVhEscBnEyHx/9l773jLzqu8//u+u5zebq/TZ+6MepcsWbblDgZDTAuQACEOAX4koYQkhBISwARiTDDBFFNiHJodIIArtmxZttWlkTSjmbnT587t5dzT2977fX9/rH3PnZFsUY2Mfdfno4/m3nvOPru8e5/1rPWs52m3LKfPKHqpXSRSS/S6HRYWQwp5UX299RYRDKnXxcMvfiqjdcDcPExOKKbGI0Z2J2m1lzH1eQK/SLvdo9MO+usPgNoSbX+MTMbG5y6g3bKU8j2yuYBGo0a7k6HVir3MFp/g3OUJdGmC4WHFy++BVqtLtyfnJpe1bFbhmiMB5y/A0LCN/dO2P7dWs5w9YxkaVkyMWxpNCMsXmd/osucGB33gts/1tdOPHU7USxkmJPmRH8GUdkOySPuf/QmqfJ7g5n9GtPfev/r9OyGhNJ2vfieqsYwZOkjikXfR+sb3El73FvT8ExC0Xuo9/BuFtZaf/wXL614Df/EBoaP82+97IQD72P0iqfsD/24HnD0/HEfx278hswkg8yC/+9vimfQt/7zB2voO1fFLOB4HDs7MzOydmZnxgX8K/PmVL5iZmdkF/Anwz2dnZ0+/2MYu1HZxYXOMIBboUEooMDpTxDoJiOQPdukkue4FlBKq06H9ljtSH+SWfQtxJVj1aUAKQ60qdMLISCV4iwf3inss+Zyoqo2OuxTyMOCv45kapfACjivUK8+Tfbn1FqjmbmJk/yjaETGOQwdVn/4YhrI/2awMu2cyEOosLX+CbFb16TwATzwJDz+y/fPkpOKeux0OHYRUUlHI9Oi2uhx7vEL3+GcwkeGV9yrG92ShtQ5Bm8PXpXFdxa23bNO39u9zcBy5LxMJhXvpIQjakMgxcedt9GyKW998PXfd5TAWz+gVF/8SVRepwkZzW9IcpYgG9pNJyz0cRZanP3qC04/Py/uKit27FLumJYmupw7RTkxcRUbxfcW+fYp00lD19vV/79UukuotUCpZ8RqzV9MELZrQzVGpwNKSXK+NdXG19RMu3VaXwuUP4tNmY0nk2/btpa+8B6A7m5Q2PkOyeR4vTjpTwTLDDRHMOHhAkUzBoQPw2lfLHFmxKLTH5WXLyMjzFmjYBSMg9KYb4cbrDFGqhOuCGT4M2uu/9Bu+TrFnjyLVmae9vtafD3Pjl3ieYvduxXXXykzbg5U30WIAf3wPqbFxKhXLyZNw+iy87/2QrJwk3z7DxLjMFw0N0+8oJ3w+b7z8bkUp06Ow+Wj/d6+5D0rFq7/LUkkpKngxRXJ0dJuKODjkMDBVElGwoNW/fxxH5uFOn3XI5H2ubJ5HESTCDTKtc2xuygjBFn0VpGNz5LBsqrwp98wWMAgCOH9BRGcqFZnF6nbjbVvDvn1CfRwbaFFsPdc3iNYamold+Le8iaFBuPUWxQ3XazF/Tha57ZUjHJ4RWu/oCOybaLG5qbh8roExhqmp7c+YntpWUrwyiiUHFFynPsLLrt9EVRdwLj8mKpAj0xx52RSlkmK1NcBmTwr/6bQinxc6nlKKSlVyDYD7XingBwDt0snuZ3wsJnQFTV5+V0SlqjAGXNMhsXYMzxPq3zXXKO68XQRv9u1TDASn0dV5sIZsxqA2L6LXZml3tkWPHNNmvncQt36ZYus4+/YqXn2fIpfTL5i37wVyTSYnxF/vqeArqVy4RObihyh1TrHQnubaI1wB6ABruX3kSfZONLn5pu25zFJJ7s+R4ATu2nNbL5Xnu+nRCzRPP3v1uQ56sWXKmYch7PXpko6jeMXLZbZxK7YEg0Coz8kE9FRGvAhXj3INH33hxbwidgDaSxjeU+9FtTbQK8/Rue9HcZafJfHg21/q3frHGX6Gzj/5dfTGWUx+nMRD78Q7+nv4D70T/9PveKn37m8UH/mocNNvvUVUi37uZyWpuTJWVy2/+EuW//yfZK5iJ14Yvq948inL//xlSeRSKcWvvFM8Tn7v91/induJL1jMzs6GwPcBHwVOAu+bnZ19bmZm5rtnZma+O37ZTwCDwLtmZmaenpmZeeLzbW9SnyJpq1eLPSjotCN0axV39oOo+jKONhzYL1/UBw9qXv5yqfr23GJ/Bsl1LF13gJ5bIgglCXziyVjF0YuHdLYSzSP3sefmvWSzcOCgg127QCKTYDhdZmhQ5qKUEpWz2xIfxN882d83+SzFtdfE3lld8eZ68qlYUp4IZQ3+mQ/3QSOI6tnWnNpWeL4mkdQoDePV+1HnPs1KNc3KQptOUzIs1Wui2lVgOyMZTqwyll7aPmVq+//h/teAmwQTgNK84uUwOJYjn79iZ1CQlKG3225VHNi/Nf1v8Bcew7HSJdAaRm+6lsnbRXAinYJUyuKf/iCebaNtgDa9q9T4AAha6I2zJNV2Ac9de45C5wzKcbHaR9noqrcU90yy50Cq7y8F4OiQTgdCA7lMJLLo859iaPNT+D7s37c9s6QUuKZJI7EHZ2QfY2OK2w4uk29v+3fWawaMoVi8Wqn3umvle2BLxW7rT2biZvCz8blQBMlhWnVD2Aux+XFwtgGa74uX3+6BNYbStf42Ev4LGcCqscK90a8wnG9yeHSOV926ie/DUKnHrfsXRfJ8eJi2P4aKRSh2TcN1+yq8/tb5F3xnPV9EV7U26CVG+z9r/cLvsSiSOZ+xUXjFywJuvF7mkxytuOv2iOnBKqq+jN44iwpaqPoKjiMgVGMIlufYWN/+4KFcnaHwFI4jyoL794F93hjJiVMy53ffq+DOyWcpRDLO2i+uKEnQP18ke4t4UV38C+OZyELrOaad5/rJe7NpuelGxT2vTJEpJEkkpJiYzyvaXZkbTY5OQLpErWZZ3wClbN90+/lhkwWmJyGViFDtTfTqSVR9SQzJ1VN4lx8CYNK/wGROyARnz1nW1mBtTfbp1ptFGRK4GhR16ziNRVxHFExfv/sBTj5dxhoraq8mRAcNlBI7gYlxxdnzirm5eN8SeUxunDceeJjsymdxFp5ELz7N8JAwAHbvgnRvkZvUX3DAe5xs9xLHj39+Qa/rr1N9qXyl4Ab1QbKso7tVppxTXJ99HK3tVc81rCGKYh+4EcXw8Nb9qNisglccRGVKgBS+9uwBNTbD9ME8r3vN1esjG8vzD01k2L1btrFreqsIdvVrCwWxbwApxBH1GN8/QKQTtEvX88jpaV4sdiiOL2FEo9fhRT269/0YdugAkZcmmr7jpd6tf7RhM8O03/Ju0n/4zajKZaybILjze0h+4AeIDryGaNfLXupd/GvFnj1w98vgp94mZsvPpy9GkeVn/rvlDa/78jOk/pvGvr3bEtMAo6Oab/wGl/f/cQ+L4Zu+Qb5QduJLK2ZnZz8EfOh5v/u1K/79VuCtf9V2bNhl0JznG79mL3arMhpXWLO9c+iei6qvotdmUToWd7ji/e0O1Fsegz4MlKwIZ9iIgZKCNUk2X3lvXO1V2wAEQFfmOL85TVd5XJ4b4vqhvcw0P4ld7mHa05ihg+ClGB9TrJxU7NormftWYtLtWk6cFLAShorbbxPBCazBi+p4URMVOOjV52C3zGAtLVmUpt/FAqRDYy0ai8JSzHR57d0+8FXbfwdsIgstp5+JNyodot4Ls0mtwT17P+G+V4E1OPOPk9hzL86lRwgPvA7cLbM3F9UqQxTw0GMug4PiJQaw6+a9mLRkaUopxoZCTGMFCoe4527Fyoqlcr6LX2oy0HyEmrcLd/U4TF6PKl/A5sZxlp7B0RGpxoX+vnnLR9HmNjQRyvReANDGik0SQ3sZHlaMXdsDY/EcQxe45boerutxzyvTNJO7cLp1eqvPO/awhecY7n7tEERd0GnylaOUWmdpJKWT11ldpNQ+gdZvhk4VFXaxWWmbjY+rvtz81nJxZz9ENHEzNi8mfLXlCjm/ge+N4J7+KNGuu64al3AUlDM3M5zeQzf2aNoSwrgyVLvK2FCXUnACZ/lRbKrEK15u8cMG9WePsrwxTrpdZuKaQZKOYmgIEqqJv/gYNjuKLUzSb9HFkW/P4sxVZJ+K03RSKfgcgGMrMhlJcr2ozhHn0yTTd6CVxQKDAxZqgDXY3ASqtoCz8ATh4TfFxxkyUzqNTVbleLDccL0iUYP62mfwC4N0Jm7GL1zNd3cd2KiK0mL57GUSVGgmdl0F8JPBKsqGdN0XcuXXWkOMurn+zzmvxlD7KO5mHqYPA4puV3P8OLxq1zM4YZPo4Ov6r89mFLfcBJeO1uh1AiqbQ4y6cr2rtW11za2wqSI2N8ZmVXGgZMFGOCvHsG6Cdgq89bOodA/rJKi2svTaGYaRTtBGWfzEQOTh+9GuoHpNbGESFfXwVYszpwNe9UqfQ7dOsHgq06d+ysmWk7MlBHPnHWLp0GqBbSWw2RH0kgjCqHYFoh433aXYqiadOXuQVHGZm29sQRjS1j263cQLFFC3YutzNiswmh3Fc9ZQYZvc5Cjl5TT3FD6Cr14FxAou1rBRhuac5XBxezuqtogXGbreMH52jNffvoT1xjkUfhRbLnCxPk03mebgge1zk0jIjHt9Yz+5ttv/3Z7dL9zPrQLa2jrcd8M8/toxGo0JHNPFdwOmbzn4wjddETsdtJconLP3k/yLf4vJTxLtvpv0b78B1Vh9wQNtJ/5mYQf20n7Lu1FK457/FNHQIbqv+CESH/uJPhXpizWstXz2IcvMIXnwvOwu8Up5fpw/LwpC3/Ovd4DFXxWlkuKmGxUPP2JptyVx/I8/nCCdgkcfjRXLdmInPl9EAVYpbG4Cvb7NhNzX+hAFu4RXu4AtTBLte+UL32stI8OKfblLuI7QxrQy+FGVTDIQWW+EZgVAtyFJe9zx0OXzjCYXmZ6Ca0cvoJJplCfgRVcv9+l/lC8R6AzK9fH9q8GV4wjF8Z67Fb6vSDg93JMfIBFskAhWSSQUqVKh//pkkr6s9ZXHIRvzWM3dzUr2bh78yCoLf/kBwl6Ae/bjsk8bZ+J9ktcfuXs31718+oWbUTHocXxI5Aj3vlL+v/tukdrrn/seoEA7DA5CIRsIeFUa66agsy0/efxjz3Lq+HYnbHQExjnBQPsZMuEi5Mbx6lLSd1ZPoGrzmNw4XbJcmLgCpw/vx1Mh7sUHcTSkekvcM/lk/8+7BjcZLjQoly3Ljz8F7TLaTxApn2zagpekN3UPWbdFIVln5nkOOV53jdHagzhnP457SoRDnU4ZP6pu70KhTaQ8HNuVzmSnsv1+V/XPozf7QehUiUavwWaG+685cMCSHx8mkfYID7wWmxq4ah/S4RKFziy6Ot9PdNXn0NWxiRzDt9xGMTiHrl7GWT/LgFrEzeSopa9hcPlDRJ0WE0Mtbr1F8fK7FdfvWkHFdEu9fvYF28x2L6FqC+iz90OnRq7yzAte049eE98Ti4kwEnqhM/+4UGPbm9iUdDxwPAhiLf548c4chH2HkkxN0i94ACg3AUqTy8Ke6gc4dbQu7aorIozknpx7bhWtFQcOOhyZkQ5fOiVdwvv2PMENhaMMDUToxafRS9s8uKzfJmG2r2e3solJlDBH3ohz4UGcsx9jYEAM08OR64l23YWqXEYvH5fPDy2ffRjWl1pEeOzZbUSeHsv0lPjLXRkmP4FqyQhtun0R59LD8R8Mngcr+VcSjd6AapfZlV9gYExAi4hwCGUTgE6tr3yt2mVUPe5+24hCNuJ7vuY02bRBD+3hvvtcer2YHq0d+jXQeG2aSOiyg4MK1a3jLG1fZ5sfxxZ3XXUMJW+DTDFFwa9TKCimJsLPC85AFCVfeS/cdAMs2CNUygHWT+OokI3VLo26JTn7Z+iF+N7VLiPjPqWBq9e5Lp/nusllSu1ncS4/jrN4FLo1lIlQYQflZyivdvoUYjkAi2ptsPDAp0ia2uffyTiUicBaHNMGa1lbDakl9uGUzzO8/rEXfe8OGngJwjn/AMmP/AgYQ/f1P03qz7+P4MZv7lfJduLvFmbseprf9Umifa8k9f7vwJl/kvZbfuMqqscXY3zsfvgf77B8y7dZjh2DH/6hqykuINSIgwcV7/rlF9Ied+Jzh7WWj98vHi4AjqP5iR+TCmmjYfmVXzVCMduJnXh+hB10c0MS8fUzknkgtKvB3SP4CQ9VX0KVL1z1NlWZQzVWUNV54IoEEUs5czNmcD+5nPjmXLi4bYqLkwAvhWquEx5+E6ndh8Q7aniY9vmT2CutQ+JO01DvOEeCPyex+Ai9niR4mAgvKKMUpNwWqhkPlwSSJBQLBqMTZNKK4bHt9kmp9Lk6yhaUprD4Ubxgk1An6bqDrLUGiIIQkxuTVyWL0qkJuhB08GY/QPLhd77glCrHJdz7Ctlu0EI1liHqobqNqwuUSmOKU6A0M4cUU7WPoaoLYEK8Z/8AZ+7h/kv33Hc319x3Xf/n9XVDpwOFsUGyu/aQ3Dx29T5Yi+o1SbSXGG08jHPpIQi7aNfjmr11dLdKoaC45dAG+fYsqr4CCEXQ76xSZIHMgevRa7OMJBbxVA+lLAQdFj7xccqzp/GiBrumrziXQYex1qNYpdH1FVRbOJI66ly1b/WNJsX2SbyVZ+R6dWqo8nmcS59lbEwJ6LNxAtmpYTOSN6jKZeg2GJwaIOfVMb2OfMYVyaVqrpPdeILrZzrkSy7DQ0IZ+1yhqvPkVz+Drs6jGivQraLCNgk3ZGZGOi8jB8bJNGahuwWWLap8Hr1xBpMqxSA7vkaTXXZPSZHU2TiH6mzSyuz9nJ8N4J5/ALUp95XvGq6/Tkl3zM/gbJxFBfF5U47ca5WLfTC7a5eiVNLoXq0/XwdAexPVXMNPOBQnh7hn9EFUDIyujOuvU9w98YSY0+fdPkX1nruFhmhy4xRmjnDjtSGYYBssAhmnjrpiACrqhfjBOomFR4im78RM3katbslkwHUMqtdEb5xFVy4BUlAZG4XhfSM4nmZkKCLhKzAhRwrH2bv++/hRTWb8rMFZOYHqNRgcgEK6e8U9ZJieUtxxS4g79xDWSzE4AEO+tHVrdbFc6HdiL34aZ/EoeuFJ9PoZ1BawtRE66pKf/yhEXZy5R1CdCi+/BzGBNhFOQ8BcFL/l8SfFtFkvHiUaPoK9AgSr8vkX+NTedl2dw6XZ/s9LJ+exG3Px6y9sg0VkLjPv10muP83wsOLuwU+RyypU2MXvrjI91CCXCYnGbgTl9Avzq4V7Saj29mf3mli0WDkMH8QUxuX3gTACTHGaXWNt7in8JXp5+/mhGis4c4+w67ZD3L7vSjeXzx35+Y9Q7JyKcznLaLFFt3AIM3Y9jyzc8KLv3QFo/9ARtEl+6Ich6tJ949tIfOrnMIMHCe78npd6z760wkvTvef70ZsXiAb2Y0t7cZ/7fzjnPvlS79nnjI0Nyy+90/I93yVO9T/yH184WxaGlrd+t2Vuzn5Ovv5OfO5QSvHjP6o5eFD1h7rvfpnmja+HH/tJOd8/+hOWINgBaTvxvFAakx1GbSWgvQZgSQwMMshFcFysk9j+u9KSNC0fQ6+cQDXX+qAOpKOV7s3jtJYZH7G87E543ast6ZRFtcuSPDRWcS4/inP6o1x8bo3nnos4dcbFnzqIipMv6/jYRB7n4mdwHEV6ei+qNCnJVPUy7rPv43r1EXJZGC4/gHvsffEOeICh4G1iAdWtCcXxxcKEYA0q6jJZ+zhTjQd43astN73pZhKZVB9o2MwoKI0KmjiLT2GGDmMK0zin/xLbqW7PIJkI/5Ffw3vyPeiFozhrsxC0cJafRa2dEtGHeF/1xlm2eHjR5C3Y7CigMPlJcLeBpddZo3vuqPwQ9mjVIxK5FAP5AM80PycVjV4TnSuRrs+imus4J/8C59z9VzAtFIlMEhV1BUiun0ZtnAWlcehR7J1BdaocKF7iphvB8RwI2xyegbGZCczzC64mZCCxwZHdtavtcxLSKsjlJBmlfImuO4BuLGNTJXRjBb1yEtWuoJTC8xSpYAW9cQaingCZdkVAlDU0l1cYKES4KsJZeDJes/ERNVdFlKxbF6O18GpweGXY3Cg2NyZzgm5KOmNRAFEPZ/Ukj3e+kspaC705h154CtVYFeAbBdBr485+AF0+399e6tL9FAtKAFV1DlvcTSazLY7zuUK6D1EfxLqnPgjd+PzVl9CVOZz5x9Hls+AkMFd0ElV7k5HpHDddD7TL8jlRD9VrSM2htoxqrMo5uiLcqEl5ocbKisUai35eh42whwraLC5pHviUdO302ja4aOUOEiaG5ZzUFlDK0o0SBG0pjlg/i4p6nDnVRc0fxXvqPVcZg3iedICDeh0bdLnmsEXZiOTJP8G59DCq1+SuV+a5606uAt8mDLF9VQrLVnrvXHgQ1VgC7WJzE30wOTpiOLC7d3Xv1ITo+rIUdLbAdRRhE9mYUp3GDOyTdamVFBCUYsuMLj/3QWht8KqbV5icBF1bxNk4I+ywrUgWZF1dGQN7icZuwKYGMdlRQp0kMrJnuraAXttmLyilUL0GuiazdIMDCtdTWOWCl8UYaI7cAYmMgN5eA8IOjSfu58zpHtbxwRpZOyvHpIim3b6YjgrFAE5V57n8xCnmz5RR4RVDhzHt2UsnSbakgKDXZq8+xq19bayKgJCpSddfafTi0xy4+A6oXOaGuwZe8J4rYweg/QOH98RvY7GEB1+Ps/Q0qrFC541v2/E7+0JEboz21/8Wicd+Hf+jP4JNZEl87MehVX6p9+wF8a5fs+zeA3/xQXj9a+HOO144d+a6ine9U7Fr185a+dvEU0ctP/Dvt5OBb//ncP6cmKFaCz/3dot9kWRhJ74Mw1pU0BaxBUDFScuhiTLpcA29fAwVtDHjUgm12tmmVPVpPzFA61SlQBesoU2PehPOnINzj56B9XPyXIp6fYqY6jbYlTjFDdlHuSN6D26vjI1BiYp6qE4V1YmpVGGAkxviDYeewFs/Dr0mxULEoUOKA7dNYwb2y+f7GcJDb8A1HQ6MlrHpAczItVccr+nPlG2Fe+FB+YfjYdG4m2fpXT7FyT+7n7DTkeQlCtHrJ1GNFXT5Aqq9KVXvRBZlAmiVRR3N9FCbl8Bxpdvhp6UrkioRHnwdzvpZ3PMP4M5+CFobWC/Tl4i3XkaOQTvY7AgmWZAEMehw+uGzXFqXOSu9+hx+c46l8AC9Zgc/qjIwnt0+PsAqDakSrZ5L1dkF2kE11rC5cWwiEwPtCNWtYb0U1s/iLB0TCpiblIsbtLHpIRjYw9ieEl4mi6ov01pdo1veRMddS712Oj5mT2id2ydbEjit6XjDjA8HOCvP4WiZTSTsosI2pjB1FU0PwCgftIdNFQl33431UjKvl8wzMJrE5keFNhqf261QlXlUr42uzqOXn8U994mrtqsqc6g48UW7mPwkNpnD+hk57iiARJ5o8hb2tz/I5HAbwg7OynPotVMIMFDo9joq7MUdW7MNugHCNsqEqPWz7MrN85r7+Jxhhg5hirsYajxOpvYc1ksLgFh8GoI27tqszJ9pR65fty6gdev9mSGifa8iOvA69OYlofBhscmiXN8+uLn6+3S09ikGyg9S3oRc9xxOc/mqv+u1U+j1M9jWJhiD6tauKhZkgwWSvWWsJwm5whI6OcLha3HOfwr33P0Ulz7GramPE43fgBk8uM0rDlqYyirPHoN6LSRQWbTp4kZV3IVH0d0aOAkSto7vIR3lxjpEATcFv08m2cVmx4im7sAOSHfS5sdRykG1NuTa1pbQi0d59TVnuKvwcXZdxTaU7z9dW9juippIngnNNVnzqeI2sF9+TsBWXNQwBvwnfgfz6XfTi/GdXjmGrsxtf0KqhE1u06pBjkN16zhzD6HaZW463KJ09B1gDNZE6LWTV98Djo+NhXEAnOVnQbvo5WfItWdJPP6beE+9B1W5JM9TL0U1eYhu26JXT0rHXCkIu9hkHr0+i149hckMY/2t9Z4mMb6bjNu8qgMoB2GoffYDLF2W+VzVqUIga1w11wRQbom1IHO3NjdGuPseEtkMw9kaztIzuOce4MViB6D9A4Zz+TGZY0iViKbvxD3+J3S+5n+B9yJk2534O4WZvpPeDd+M99yfoVdPEu25l+T9//VFq3YvRXzvd4vAwOKS/PvKCEPLf/pRywOfspRKO+Dsbxs33gD/9Se2z9/wsOYbvh7+6P3wg98Px4/D7/3BS7d/O/FFGLMfi2l4cXXUWraSGNXeQDfWhBa0dgoAvXoKvRor8mkn7kBIYuHMP4G3cZJQJVBEOKZNurfISLGD7lZQQVsojlEgs1y9Ok5rlWhzhYYp4Jz9xNUUQO1C0BZ61PppnPnHcC49hHP5CZzVEzgNSbQ9T1QW3YufgaCFe+rD0oHLDEkCbbZnc/X8k3hH3yu/f17k8zA2rtCZAuTH8egAFlPcjapeRjfWUEFbaGnWyn71qUwyO6VtD10+ixk6iNU+1svgzD2KWnoW9/if9s/t1jmz+Yl+Yuae/xTe6Q9Dt4Gz8DRO+TzO3MPo+ce5+XCDmbv3Sffy8mMULv0Zw/VHMIkCauQAu7xTYgNgLeHMV2AH9kHQxg8q+DSxygHHFwBuDGb4iNA1rUV1ajhLT4PjE+26O04MY613x0UvPR0naC306nM05ueplbvYhAhF6LnPoi8/ir78GNZxr0pOnfnHcToVEsEq3tpxVH2ZyEBUK0unIwbiTvmcnI92Fd1aI9s9L4DFzwrY2byIMrJuqt0C1bklaK7JXFNrM/6vjDIBzuVHZLYyWbzq+joXHkRV52Wt95qotVm843+MyU1uW9WYQGZ0mhu4vU2CbrR9X3QbEHdTMUbWvrXotVnc8w9sf5CbhDBAb5zGDh1EO587DbWpEjTXGSyGDGc2UUELAVPxGtnaJ6ug24ReXWiP1goY67XQm5fQ84+jK5fBSwrYCFpQGJf1D1fPPQI3XAdf8QZR38xNTcIW9a2/Y5HM0YVtIERFPenoxpHrnMfoBHboIDZRIBGWSffmSZ76E5QNCffcy+bEG1kafCNOt4ZePSGdYiS5T9ZO89rdn+bAdIuSuYBXO4cfNVFKS6emuYZ78dOy3haPotdPYbVHMmHx26vYzBBq86LQOTcvopePYbt1bLKAqi3gzj2Cri2yvmZYWIRk4mrwrzYvykxjXBgBiwq76FYZsDgLT8mzKs6hVGO135WzRsSCNuzuvi2GTZYI7viu/vb15cfQi0/jnvogauNcnz6sNy+KMFAU4HXWhRIYNNCdGjY3LjONMRtBNValE9rfqCedLxMS6jTaUdLpK+6FdgW98BSBW8BTPZz1WblfQxEBsvkJzPARVNTFTN8BmQGifa/C5scYy25Q2j0qz9qrzxIjN17H9L6MHLQJt89HfRm1/KxYiSCPCeNmIGjjzD2Ejlpk8h5m5DCPlu/hxWIHoP1DhbW4z/4R7rlP0vmq/wlYOm9+J/aKG3snvjAR3Pv9mNFr8Z/839hEHrU5J3MPXwSxvGz52Z83LC5Zjh+H//JjinR6G0QYY/n5t1vKZVFG2om/fTiOyOu+571dnj0mD9Pv+15FIQ8/87Pwsz+jeO/vWY4+/cUF3nfiJYxORRJyx8cMHZIv6q3ijomwiQw2kRXqG8hcUCzeoZcl4dZLz6BXT2BTJZziGLvGOri1RVK9JUZ7TzPQfBr39EdRzVWIuujNSzLX1t5k1eznbP0gJggZOnwA1WtBFBIefhPWTYq/ULeOHdyP9dPozQuo9gYohdNYZqT2GdzyLHr+CaybkMQKg8lPSsIb9tArJ+R4ug2chcdQ9eUXdFYwBq+9Rs4soeuL+J7h8CGh0enKJWxuHDO4H5MsCt0zaBJN3oIZjhUNYoZIIiyjem1R2c2OCMWotY7eOIfeOCOgA2Tmb3MOvXIc9/RHAAj33B0ngkJVQzsQ9dDrZ2gsrdB86n4wIaq5hkkUSPldsmf/RBI/a7D5KbAR7umPQtDC5sbIDubIeE1JQOsLMsukFWrjNPryY6Acqab3WpjCJP5TvyPXN2hD2JVktV2RfQ67kCwxdf0eJsbF7wlAdeq4i0flurY3pdPVX19VVHWeqewyrifgQ2touyMCTv0cauPc9ozTo79Fav6TDDWeQrXKOOfux33mj3AvfFpAba+JW7vIwLCHXjuDc+mzuGc/JolhfSme69sl27tS+ABimq5FIfNfujpPFHdelbVY10fXhCqnNy/S0znCwIByiMauQ6+dki6jYnv+0vH7Xd9+OD4q6qKiAPe5P0Otn71ihm1rvUU4lx/FO/7H7MvMknWb2+sovv1U3D1TnQqqU5W102tAp4JqruKszaLLZ9Hlc9JhrC2hu3W5nu0qur6CmbgZM3HLVR9tHR+1fppEQjGUa6GC7e6fXj6O3jgn1ylqkY5lOq8UELJKEekE7jN/gPvsH+KvHaPjDglg78q2vLDG2qUyKgbeJi5E2NwE0fSdqPEjFIuaUvsk/vos6d6c0KUDWYdyvRo4i08TxSblKhLKqmquoZur6M2LeM/8gZwfLy1/swabGcSU9mBzo1zmJs6evwIGWItNDwg1s7EmvypMYZN5KRY0VqG5JsULpaDTEPrz1mUzgAnZPdbqS86rqIeee2S7A2aNGKsDev0MzsIT2GSeaPSafgFKr53CFHfhnnsAqzV6+Rh6Q9YzgPUz2C3QZIzsW2sDM34Tpd0T5CeGMYk80cjh+HnU5trM4+w54GOzMb3ScTGpAZktDjuoVhl39kPoxadwT31QumCVy3KMVwA059wnhBUR9qQTr9R2lxFQrXL8nJW1pMMG9dx1sh9eBpSS50BtibvvevGC+w5A+4eIbh3/gZ/FPfOXBIe/CsIO4fXfgJm89aXesy+P0A6dN/8yhF28E3+6PcvwEqs6GmP52Z+3zC/AT/4UvPmr4MYbrgZn/+MXLLOn4R3/42oDxJ3428fUpCafl38rpfjFd8DKqgw1/+C/U/zGb+5QHXcijo0L6PamVJ9b69j0wHai4XgQBkSj16BQ6PknobUulLQo7H9J682LfcBF0MZxwHpJ9qdnGRoC2mVJMLfmMmxMcayvMNH+LNcOnmTUuYDT2dhOPk9/BNVck2QT5FnWbWL9HKCxXhrHdNkzWsXtVdHNVZy5RyVRMhGqU0MFTaEfxuDJvfAp9NJxoYrFXUG9fuaKfbLY0m6IQqJTD7Jw9DT61AdjkQWDrlxGBa0YZCmhtVmzrbxowQ82JClVGrTGpgeEhpfMYSZuFrpYtwFeCusloNchKkkyp7pNOU5jwPFQG+dR1QX0xhmWVh2WvJv7nTdlIukgVhehtYFuLEvS2a7I/MnmRVT5PMnOAm5hSJK1/ARm9DpRXFs+Loltax1dX5bhwV5LxE+OvQ/nzEfRtQWs42G9tCSL1gp9y/HQG+cFGCJzflZpcP1YUdGgWmWsNejaAqpdxqUHXlrmkzIlUn4gAC9oY0p7trtCzXXSXo/hMRc6m6harJqpHdAaVZkj5QeEkQYvKZ1B7UhnMOphlVABVWsD7+SfX0H3t1g3KaIKWx3i2iIqaKGD1vaaaa6CnyWcvoOZzHH2jVcxo9eKJHuqJNcPhQpaRNN3SFHDSWC2PP4A1VjDJItyPKaHaqwIjfZK4Bp3JHR1HnfuEVRb6L9XgcpeE7wMZuJGlI1QUYCuL6I6dVSvKfchgJ/DZgaFxrZ8HFuYiil6BlobqFico//RA/uFEhz1UNXLLxAA2qK7jQ50uW3oETlv7jZ11Q8r+GEZmyxBqkRn5CYceqjBPahuDffip8mUn+K2kWcw03diRo6gNy/invhznHOfkHXT3sRJJPHTPk57nXRvEdwENjPSp0DTq6OiHu7zut7WTfZBLCYi2vMKTGkPqr4mXbVOTY4tM0ioU3jddQEYW9952ovXYlws6VQgDAQARqFc39aGAJJeA9xEnxZrDNJFb62jF4/KPeH4Ml9aX0bVV4Uh0GtiHR8zeQvh4TcJUFs9ud0hC5qoXlPWtZPAJvNi8rF1XNqFuAOs12djJkCI3jhLor2I01rFXTwqz1wbAYaRIctU+YPY3lbn1WJzoyLSUj6Paq0TTd6GTUhyYJM5VNTBnX/kKuaCGToMJhKaq1LyvLIh7qXPotZOxeB2qyt4Hr96lnRvQTp16ZIAXxOh6ks0j32GF4sdgPYPEHrtFN7Tv48p7MbsfhmqufFS79KXXdjcmHQuoxD34qdJve/bSf7p97ykVMc//KMeK6tw2y2QScNbv/NqcPaOX7Icew7+5y8oCoUdcPb3Fa95tceuafqdsgP7NN/1VvivP2152cvgF98u5zqKdkDal31oRxLu1ZOojbPoSw8J1WaL1uK4OIvPoLZmLNwUNj+JXjkG1mIGDxCNHAEvI1/8JhS1wOplBgsdSkWw2pN5smo8+4PCTNyMTZUIQ0O1ptlsp3FqC6jOpgCHKER1a/1kW2+cwakvSMcnkUOFHWwY4GqDzg1D2BW6X2VeBuzbZUx2FLU5h64ubB+v0pI85cawydJ2Z8BEwuprrmPy4+hsDj0wiTaRdEzqy5L81Zf7oiHu0jNy3iqXYe4x3O4G6d4CujInc12OL9262Q9Dp4ZeOY6qLaI3zhDuugs7cAAVNNGrz+Gc+yTO4lOo8jmcuUdEfMIaSBZQvSYzY8scHFsDDDY/SYYyCR9sZgCyI6B9mYPZAs3zT+DMP4FND6J6TcI9rxCBi8oliHoiNuGmpNsE0K7iHn+/zN9EPczAfgF7XhrVq+HMP96nBrpn74ewIx07iMUHFPTaMs+YGcEM7BXQFHa3AX/QQnXrdLwRaG0SxbOBykbQk/kpitPYVImCXRSRBDcptLeNM+jFoziLT9G9fBqWT8Rg4EGsCUWAITeB6tZwlo9hC9OY4SNXSMxbVNgBx8MUxdDJ+ml0c0NsJpIFrJvEmghVW8RZOY4tTKBdD738rMiyx+vHKo3JjmKzY6jWOjg+7vzj/SVmU6U+cyiauLkvua56zVjqvQsxkN4Gi0sCAkwUr6/tLqo1ESY7JmuwtSl2D41VEYgIu+jlZ9DlCzKHFvVw1k5BfUW++xN5THoIvXpim6LWWpfz0p+bi78Hek1sZhBb2gMoekPXYmtrcp/nJvrH13WHCXQeEjmIApLPvY9c+xxq7RQ2P0546I1Ux17D8ei1QkFceQ7VXJXij3ZR62dJfOrn8esX2JOfwySL9NyiAKHG8nZnNozFa3p16YZvraPYSqD/CFt8SrafG0WZAL12ChUFpOqnmah8DK+9hHP+AYjFMfTaKQE1vXaf4qvCthRHwi66vijnx4SAEcDnZyk1j+KoXl9cRNcWUdU5zOj1RFO3izhHZwNn/Qxq8yLRnnuEMbB6UgoBlTmsl5RnULcueXJ9RYpXqQFUYwln6VncE3+Oaq3LdYoC0B6muGsbNGKxxV2Y0evRzTV0+aJ0fmuLqLVTsv8gx9bcABthBvZhhmawiSy6Mi9UXaugXSUai5UWg7bMoIYdsBHh3pfLM275WQGuNu6edRv99a3Xz5JcP0ax/gS0N/GO/6nse3y/LeU+zwDm1rV70b/uxN859PppvGffByiCO7+L8MhXEx16/Uu9W1+WER18LcEN3yR0il4TXT6zrW72D70vkeWP/7QHVuae/suPXy2b/3Nvtzz9DPzSL6idubMvQFSr8OvvtrRa8uX72lcrwhB+/CcsyaTiN37L8kfvf4l3cide+ihfxDrJODEUmXG9cjz2LFKSvCaymJFrQCn02km8p94LSKVd5sPOYKOeKHhtnJckNlkitfGsVHs3L4h085YSXGsNvXoKEhlamUNUNyOCgWswmSFQriTKri+S+1Y6G6a0B5seFjqWFeU766dpzD4D80clgTOBJOAD+4gmbkZ1qpjRI6iqSEWbwhRm9BpMbkwYBkHrijmfSKhTtQV05TJu1GKyVENXLoKXxRZ2EY3fgK4vCaiLAszwYUxpr1CzLj9FafNh6qlDhPvuQ9eXUL02uCmZG1s/LRXtmErkf+aXcM5/Us7L0tOooEW4/7WooIMz91A/EdObF7HpATY3DK1H/wKaG6jWBs74Afyx3eioh6otYlIlzIjMmVBfwpl/UhJiE2C9FO7sB1Erz0nXM+xJx6axJp3PXkNENXpN6RApha7MC72uXUa1NsGCs3ZKzgdWqvmrJ3BmPyKJownQ5TOSHLc35di9NDYzgk0NYAqxX5zjMeTMk5scwzvxZ2BD1PJz0k2qLYCfhWQeM3addKw2z6Ga69u0SROR7i2SKaalk2IidGNVQFRrHeulMekhKQjU5rcFYbZqUdZud2ULk5jCpAB4rSCZQzdWYzrYhoDVuHNmBg8KnXfjrHTq0sN4D/8vvCd+G710VDqxUYBNFIT+2FrHjF6Hiuc0TWYYwg7uxU/jHvu/0lHbUo1UWgRTKnPo5WeFMtnrCqAMuzjLx4Q+5nrY0l6ZkYt66PL5uPvpYxI5EXGwNlaiDOIuyCzO5gX02mnc0x8WKt3iUVSzjIpCASlx6I1zeM+8D730DDY7Qvn0RcorrT7o3YrxfUVKQ650UjoViEI67hDB5D1EhSlUbRG/tYBaPiaFBuWigi4mP44ZmpF7sDAlc2AmxF09RuAUsNkRovEbsWihAObGsekBrJ/FemkpQGgX5/KjmOJu6dZ2GzjlC/LMCdsigOGlUPUlsrrKhHeOFHU5l1EAWExuTOYGT/25dPUufkYKNm4C9+JnMJlRAUytDQg6WK1RlYvcln2AidTC9loiBixrJ3AWnkQFbXQ17joPHcI998lY5dDBpAYwQzOobh3rJjHFaekIV+ex2se98Cmc5eM4lx9GVS9jEwWsdoWVtufl6FZZumzpQWx6kODA64mG9ktxLGj2O166tSkdaQDHF8XK+qoUOSqX8D/9DpzLj8p9XbmE0lryRSOKqHrjDLp8Aef8g/gPv2ubmmsjtooGNjeGyYqaqHWle1xsiYiOGb1WChRuAl0+x/XJB1/062cHoH0BQzVWSf7Z9+Ge+Tj4qW0p5p14ySI8/CbhVKcG6HzlL5B44Of68yP/UNHtCoXuvf9bvgjf+p2K/fsEhDUa8nT7ijeI19ng4A44+0JEqaT41f8lwiyNhiWTUfyb74Wjz8CnHjR87ZsVX/PVL/Ve7sRLHm7yiopxAMb2wY7NDMUy4kq6O52qVMC7MoCuq/OSjLfLKGtwFp6SKrXjY11faFE2RPWaMkfSrUnhaHNOlO6qS+Sbz7E3eYLRyseFFpfMY1MDOJcekvmzoIN1PFSrjPEzMhifHZXqsFKMDhtIF7FK4y4/i+pUsNkRVPk8Nj+Brs5jxq4X2l91QarZTaE86cqcSLEDV4qj6NoC7a5i9nIOU9onx9suo9dOxhLigSRvnSq6uSadBGvIdi8SqQTO8rOYzDC6egmTnyKavkNAZ3ZsW08vIVLkOK6AGDeB3piVTmBpb19Z0WSG0NUFakEBrMG9+GlUdV7U4HoNVNCR7kokwMu6ScDFJvOo5gbOxc+Ck0CvzWLGrpPktLYQg8eEeEy1K0In9TKAljUQ9SBZIho+gq5eluvpeKgraGI2M4R75qPSOXASIo5hQgEOq8cF4DVX485VQnzkElmUVni9MnrjtHTJHA9dviAJ9LlPCeirLkhy2W1gxq4DPw1OEhyPKD1KSw2Cdgn3vQrVrsiaMhHR9O3o1gZEHXSnKt5zUa9vP6MbKyJyYw368hMyq5csQtCL6bMW59SHAI1urKLCLqq9iV45jnVcjJ+RjsvmeVAOevNiv5hB0ELV5+WYu3UBusvH0Rc+jV4+JhL6YU+OYfoOrJ+O/8vEFE6X8MDrUG5SDN2vuEeVCVDNDVT1Ur+TZFMDWJTYHbjpGJBf4SNoI6wF5/RfiphN2JXukZdGdyoilBI0+p015/Jj2LAjYEe7OKpLhAcmxKRjwRETUuycJG0rmMwQ1k2iChNMZ+dJzH8a3dzAWX6WVPUkN+1ewmaHMZlBaKyhK/Oo9VmcuYexbkJm1qzByRQYzZXlWdHaQHc2sY7XF5dTUSDrxEbyLFp6Buu48fOiIDO0QRtn9YQIpYRd+W/1FJnWWcaiZ2IBmai/PdWto5QLGDkXrQ3p/GxeQNfmcY//X5wzWybLCmXB1z10Ih3TsDegvir2FevnwMtI0QMlz4OgBe0KNlnADB/CPf2X0FyV51ZMqaXXRnU2wRqiiVuF4pgekE5W1Osr6oriZFXWQbsMNsJ/8n/LfGjlMiTysp7j7qyKFSjN8CGsdrHZYTmv1XlhICRzREOHMJM3QbeOs/i0dM2UxoxcQzRxE0TxdozBWXxKCm/tMgQdnIufxT/6exCF2OwYrmMZTGygGutSwPCzMrfXrkoR5kViB6B9oSLoiD9OawMcl95t30lw87e+1Hv1ZR9m7Dra3/i7qOYK7rn7MQN7X2Ca+IWOn/5Zy9d9I/zC/+wwOgrf+PXy+zC0fOd3WS7PW2668YU+aDvx9xtKKR78NPzU2+QL+Gu/RrFrGt7238H3wXXh595uqNV3qI5ftlGaFspgt47JjqOaK6jGCmb0hu2ZoV5DqFndOqCgtSFzFkELgq7MLLQ3QTu484+JUfHGWZEwL+7Guil0fRm9eUEoV4l8v5MRhZaNRprNZlrEGZpr0tGIQpyNMwICw67MfXSqUrUPWjIv0m0Srl2WOTM/g/Uz6LVZnDP3ozubsq/NdUn2l54VgY2oC9rBjByRDk3YkhmcLbqZNUSj15H0LaMjgNaY/BR69RTu4jOosC3y4mFH5pV6DayVmbGhQ7u5dfoMKvavolPDWXhcEt/MMM7Zj/UNac3gfqGY+RlsfhJn+VnpwrixN5pSIqKRKmG9FLsOpCnqVWy3JR2v8gVUp4JJ5rDZYUChy+ex6UGi3XdhcyPSUcoMi+F1ty6iJLWlvreTTRVEcVE74Pro+iLWcYkmbyHc+3KsVuhuDdXeFNXMkx+IO1lazlXUFXBnQnR1Dpssotqb2EQO62X6Pk5YIzS89dNC5WuW5bP8nAhaWSNm4NZCIisiA801tmwA9PoZSV4TGVR1gU47Qm1eRnWquBc+ja5cktnAzCCqsiCA0UvHgi5V9OXHpDO8Kh50ztpJ9NIzUmwIO6jmihQklMYMHsCpXhYwnh3BFqdE9KPXkA5Jp46uXhZz97CDyYxuWwtYI/fD6LUCzpaeEcXBqCfnptdALzyBTeRwLn4a4yQlj3ITAqwTBUgP9L0IxXNPhG5MdlRARRRKAqy0mMxXLqDXz8oMYq+97WdlDaq+IuIcro8tTEkeYAy6voTRrgDKKBDAXrmMqi/KvR6Lw4wMK8bGtKyRRDqmPct9YpN5dLchSXzQIR1KJ9iZf4Jo5Bp63YhLJ+J7b+U5dKccz45tCV6UpavsyhyhTwfVXJf7JuqiOjX05UdFbCc9IOvDTfYVWd3ZDwtduLUuVOjmmoCk5rqshewINllk0Ryhp3Mi9KPEk05tXpRup9LyXItCKTgki7L2qosiStJryxrpNaSwUFuUR0QiHwuVLEt33nTp3fQtmPy0SND0WrJWVk/gnL1fCgIqnmuLQZdqb4KfAjTeiT8V4OV4mNykAK/1MzIbB6Kw6qXR5YvY/BTWTUPYxlk5jm4si89dp4JJFaUrF4s4qeYayvT65uamuCsWHgpxLz2CWjmFs35WZhaxUkxYOS5UzNJezMA+VNhGNdZQtQWctTOxiFSIGb1GrERaGzjdCl5xCN1YEpuQTkU6hZmRvljK54sdgPaFCGtJ/dG3kvo/XwdBm+C6rye441+/1Hu1E1sRe6a4J/6C8Lq3EB3+Kpzjf/w5paX/vuPDHxG1xn/ytfCXHwv50f+kqNbk966r+I13KaandoDZP1S8/B740R9RfVGQX/sVxSvuhZ/9OYvnWZpNePs7dkRDvmxj44JUfN1EnOSOSFX19EckkckMCW2sMClfttqVJLUppsGqtYqzfgpT2ie0v+wYOhZawPGkipzIxtselhkTLwVYnI2zqNY6XXL42awop2lXugfWiookYK3BZEZkjqO5Lt2SlswOdXoKW1mQhEdpwMRJbRdn/lFJbFZP4Jz5S9AO0ej12EQOffHTcvztKrp8Tjprm3PYRAGTn0B5SYrumlCDwg62OCVAtlOTWSIToZTGlHZLZTqZxzMN0n5XJLMrc9jsKFZ72CiUzkVMd7SpEu7sR4VO2KmJCXHYJdxzr3SZMiOosIN34s/QC09h/Rzt2SdoL17CKZ+R7lpmWGiB7Qp65TlMaR9m+BB6/QzeU7+Ls3QcZUKiiZuJBveh25vozQvSmYjVIbe8vayTxGbH6RsdVxfwn3qviEB0qthUUTqAfgZ6DcLDb8IUd6Ori31FQMIuqr4k1zASmXabyGNKezDZcfAzAqxbZVRzBTN0CNVrCsWytSYgqLXRF3NQ3Xq8rXBbnc9NgOOTZ5lsKdm3A7DJgrx//SzesfdDurQt+tHeRHeq0qEL25IE5ycFSLrJGHwUUcQzT/VlUQONaV964SlMbly231yH9obsm+lJZ8PKzJpJD6LCDnr5Wblm2kNvXsC5+BmZb0qXsClZ387yCfT6WdzFp9CtNaEGN9dQtXncZ/5QZvq03qZiunJurJfCZkeg15KiQNASYZlkHpvIyxpurMh90G3I7JafwebGr1bWbJfl3EddUQltruM9/CtSjDGhnCsvie5U8HVHDOa3DLmDBmqry96tAaAbS1g3hUkNopefwT35ARK2wd7seQGn+UkBNWEH5fjY3AQkcphkQQB+S8CbCnuQGsAmChD28J7+ffGkG7sBFXZFEAbkPoxCOUeOLwWTRE7WYK8ulNr0MNp1aHsjdMkL+IuZRHbwkFy3XkPoygpRcdQuSmnswG6isRux+TERoknkhRWQyMXqqxdjYNpFKQcSeRIPvE1Eh7pVbH5cBFyURlcuyz76GUgPg5dCX34Uk5vA5MZQUVeotJ2qdKcqF8EEOItHcZaeRS8eJZq8Te7TVIloYI88vypz0K7izD0i3ULtii+h44tRO0BsDyBFkdVYPXcFXZlDr53EPy4zDtbxoVsXSnC3IUq55fNSZMuOyDaLu6WQkCzKTF59VdZY1OtTVXE8AXt+DpsooqtzfTGRzxc7AO0LFCYzgq4vEO25l94r/wM7RtRfROH4tL7jg3S+7t34n/0l3KfeQ/LjP0nqT77rBSatf59x7rzh595u+Y5vgz/+U/ixH0ly+gx827+wHH3GYoylWNxZJ/+Q4TjSqXzv74kfWjar+Ff/Ep54UmYD//0PKo4/Bx/+yEu9pzvxkkSnJnLhWypnWsdAx4rARKuM9bO4i0+ja/OosIf10/IlbYyIhigHZ+MsevMCurGKKUxLEtxrCSDrVKU6bSJsosiW1LV1PLzKWaY6D5JtnpEqspHkfiuUCbDpIVTUQdeXsNrBFCYg6EDYYy19O9HQEXlNawObGQUToHqtvoiFTcYS7pEo6qmgjTv3mMzidDZFltpEcaekLpX9blXUHAcPoDYvoDbOi6qhm4iTFk+ofLVlrJOAtVnU5iX00rPSoUjKLJI7/5hUsLWLTcVAor0pMy+JPCSyWC+DzY6L9PvqSUx2VCr1yaJQIdtlMrpGIptEN1b7FXzxNAvAgl49jvfMH+E//psChv001BYlsdYeKDCpQREFibtVQmmUBFvXl2Wfo0BEKDo16RxkhrA6IYl7fRmbGRbBlpVjmMwQSinMsIgPiMphHdVc3qbM2ghn/eS2IIXSIjAQBUKjm3sYU9wjyn6OK92jXkMAd68liXcihylMoXoNTG4ML6jipRPSBUwWsF4GkxnEvfwoynSlsGBCsWPY6th0KnK+Q+nOWDcpnbfWJjZdFLARtIWyai1WKRFGaZfRqzJXR9SF1CDWT6GiUERJGitC843NzKWbpkSwolMT/6rmBnSbAkSthaiDKU7jrJ7ApAaxhV2Eo9djM0OEM18Rj4uIvLvVHiZZ7Bshq+Yazsqzsh0/KzRGN4X1Upj8uFBk04PSmdUOzoUHZS5KawGrS0+j6ysCQHtNAdHpQVnPmxexbgqSMv+0JVCB9jGF3eiFp3DP3I9qLEmnee8ricZvwuQnpIMXNGV915dwz32c5OCAnKMt+mengqpcwll4Qp47JpSCgSsgy6QGBJz3GjH1dwgVtnGWn0FVLgkghrjbbVAxSO1TnnsNeX6EXaHPrp5kb+8BMtGSKEPGBQiirqyFZC7+uYeuLUnHOWhDpx53nRuQLGLGb4zBcAPdWoeYlqobyxB1iZIlrNI467NCG60uyCxhqohuLOOe+hDO2inpuGsHwi7uxQfRjRVUrC6quzWU6Yl4jBdTXuORIffCg3K/OD7upYfQ67NYPyPgyE3J/rfLmEQ2BqkyV+tsXpTz36lgkyURCOo1pUNpIkxhWqjQ7U2ZRQy7okzZa/fVRFUUyvO0vUm45x65PwDdXJUOfiInhYzNOfF8qy0BBjOwG5Me6KtWfr54vvvaTvwdw3vs3eJUPv8oNj9J55/86g44+2IMP4NqLBPMvInEI79KuOcVOEtHSX7gB+i8+Z2fw5jw7x6DA/CVb4QPfxTuuRseeiTkgU9Z/sMPKV5x784aeSnjNfdBIin/HhnR3H6b4d2/BXffZfnx/6z4Tz9queF6mNrpbn55hZ8WVcMwQLfWhOoUibgPzorMWTVWZEbBRJhkPlYdKwJg0sOxKWpbEiVkNllvXsA21+Q5k8jKMLybRDWXUekiqteSxM6EVDcN3ewUwz6S5HZr0u3wU4BCV+dkzmKrs9ZrSqW2U6XUfg5nM4FJFkCV0LVFTH4CmxkU+fnNi+BniXI3S9Ieiz7YfBLdXJdEtbkRJ4t+3LkZkATcz0r3LDOMs/BkbPacQIUdnNWTQpEykYCIblmEG9ZnQXuSyCUKGD+Fe/4Bol13oSpzsWFsD12+gFUO1iqhTVrpyFk3jTv3EKpbk4Q7CiTRs0ZoTIW9QsdzfGx6WMyIte531Ag72PQguh1TPK3FWXlOZgajTVTlAtGulwEWmx2Kx+4s1Bak+u8mUdK3lONvb6DbFUnyMleoAcbzV1iLwqBaFfk5pnBtSf3bbiO2HJDvG6s1zuoJVNAmmrgZo3VfSdOkhmDyCHb+uCSRvYZ09jtV6aAFXdyVY0Rj16O0JwWD1gYGUOqQXL8owhZ2iTJpPPMDYL20rNuEUDpV2BYT7M4meuUkuClU0MaMzKBXTmATeaLx68UovLkCTencWBOhuhE2PSTzQo4r3RXHEyCuNEQdVKcuNMvcqMzimR60qzIfGXa3FRitJShMYg04pz+Ee+pD0Cpjc2Ooyrx03NZOyoxio4LNjWOdFLa0F+foe8RuIlZUtUoJlS7owsS1mMEDqFYlVkNtSjIfdmKqb09m6gb2xvLt51HdipxzJyFFmNqi0Dizw7Lmz31cZg2VKyC125BtN1YFJNSXZW5y+AjO0lPSYd84iyqfBWsx2VFRRY16qLCLc/YT0snrtbDJggieRD2wBUiZeAYqjH8naw5rhcKnHHBCyI2iN84JyEyXsEFHKNZ1KQylRsewphvP1wbo1RO45z8lRYpeC6Va4CUxhUkR0DEBqraEGZ7Befb9ELVRek4YBp0KxhuDrNBaTWoQt7GCDhqQGcZ0mzJHF3blWGoL4GWl4NRrYPPj0snrVKG5gUnkUWEP3b4sNie9prAOtIMpTOOUz2NNKMAxN45urYmdQNAiGpqJO7ix2m6rjEJJ9yxWq4xGrsG59BBoH9VrY/PSJbepAaguAFqAp1KoRA7d2hQlUKUwxT1Egwcg6uIsPwvpQdy5hwn3vVqKZINH5Fgay6L26rjYoUPisVgRM3ibGcZm0i/69bPTQfv7DhPinn+A9rf+X1r/4iNXyZ3uxBdX2Nwk0aE30H3FD+MsHQU0ev0MiU/8dP+L6+/lc6zlJ/+bYX0D0mmo1eHxJ6Basbz3d3bA2RdDTE4qhgYVv/GbhiefsvyXH1Pk8/DvfgiOHIa3/BP4rz9jCcMdquOXVZgQ1a7gLD8tVWY/K4lu2AGUzGJ0apjSXqnsWhMDga6ohFXmJHmPPc5sIouuLWCGDmGTOZkfSUm3zKYH4xmOAoBQHKMeCa/HgL8pdMTqZQEImWFMcTpOuntS0Q86faNmFbShMEnO2cStXkS3NtC9lsxFxAmKs3YK/IzM6mzE8xMmEopSYwW6DRHYABEg0OKvhpWukF47JYm0jTDpQWxptySlYU+8wXITUoFuLMcUqx44MW3ORKIm1xWlSGf+cfCzAiriuS6ltPghbV5E9STpIpGRz0sW0Y21eJ5E9b2L0K4oBI5cCwqZldIe1ph+AqZbG/H8iomr/ek+VdDkxral+DfOia9Wq4xy/Ti5b8l1DzuoblVoZ46HKe6RmfNuXeYKMyOSUNpILBFsiGqsCKhTWjpJ1kJjTdbKlpmzm5bZxlQJgpbMc1VlnkxvnIGlYzgrz8r8YqxMKBQ9md+xiTzOygkBRiCKnH4MnDpVbHqAaPRaSRqDtnSh/KyogGpXujXZUVCO+Lf5WVmj2WGxU2iV5XMRoRTVqcp8E/I3gjY2JR3dLVNuFXZFPCUSiXJn4zwELaKRI6hOLVbnexTdWEY3V9DLxwTUWCMdj8aayJL3mtKV8eR6KaSjreJCgvVzIj7TXME59RcieqEcoeWmB9FBS2aHcqOwRWWrL8agZlE+ywRxoUN8DJ1LD6PqKwIiwkBAS3NVBHY2z6G7dZGTb2+KuEanKmIaXble1k2BdjH5ScLddwutr3xGOlmtDVEzDbuxmmdJQKTjYb0EzupzIuphjcxHuQlReRw+hM2OCvhOD2DyU9hEXoRqTBjbQ0zLM8dJYHKj4hNXEwsMFd9vurGC1X783IhELGfjHNHQQWhvCggNWlIE0B4mVZLj37Ieaa1DpyK0b+0JtbLXEj+7dgX8lFC618+gN84KCHdTUiBKFuLnayDH7aXkntCezB1mR2RGs1vHZAbRbaGgCu25Gq+nQM5tehDdWJZz3Wuiqws466fFmN1Ly7F5KXkOKwebm4Sohzv7YZzLj8YjLzVMcS/RwP5YSTIhHWZkllFtXhTl3GQetIezdgL33MfQlYvyrFVK1my8TlW7LPO0xogQTHYEmxkkyo4JK8FLy7xwc/1Fv3520MPfU6jKZfxP/Az+o78OCvlCcnYalF/MYYYPEe26C1vaQ3DTt4B26LzhZ3Aufgbv8Xf/vX3O+/8YHn0cHvw0fOjD0OvBv/wOxS/+QnpHQv+LLG68QYRC0mnFr7xTAPX/eIflO79d/v7+P35p928n/oEjVQSsDOArLd0rpQV4mEDEObpVEevoVkTxzPWlEl9fAj8rSUplTiqqtVhoQDlSDY5CSYIKU5JQOL6Anl5D6HDdGinVxDFNof4l89LNaK4JbSZsy5d90MIO7oeEqLaJn88l0qMjIviRLKDqCzLXEXbBhLEAhh+DxRJ6QSiNW15Tev0UNpmXqrPS2PyU0DTnH8P42b6AhrM2i25v9vfP+GlUr46uS6JkS/uhWUbZMAZsK5AelEQ2bIuXVXpQ6HvaFUqanxXaWdDCTN5G75ZvE7CyeUlAqAkw2SGpQhd3yeyRl5Fz5ySFOtqtSedMadzlYzIvlsjJbFVqSGhktUVAC/BL5EQJrtuA9CDR1O3SeQw7ELSJiru3gaA1Io1e3BUrQyLJqZuUa1e5KPTC7CimtJdo8KCAtm5NEsb42JSN+sk62omFSBICFoKuJO/JonQyHR9qK6heS0RQ2pvY7LiYQYNQWGMfOxV7uZmBg+jGInrlWUxxOpZ+L0t3S2mR/fazArY7Ffn75nmh1oXtmIboSsfDxsIcnaoYs19+TI7R8cUbLlUS0KSQLi5K7pHKnKg5Vucx03fJGnY88QoM2nJNEgW5L6IQW5gQ4JgblQKCnxZwUtojfmNBS45vYF88m7bYV1Z1lo/HHahAVBRTRZlRCztEA/sx2hUKqZuIAWBHgG2qKMI5USiKmo4noCdVFAZUZjimoxlI5KXTnJ/E+Fk59uwIVilZ27FpsvUz2IF9QveLhUawkRxzYQozdBjrJcUYvrGEO/ew0DJRqHYN6/iyz4UJdPmiUGbri0jlwY1pre2Y3mm3Z+hthO42sFtCKj0xeLdeWuak4vufbl2k5GsLUtSJ7Rp0fQncJNHue6QQ0tqA+iKqtYEKmvH93Yy7rS706kQD++L1L3RfmZncJJq+E+tniSZvlWeIUkJd7MSK5mEHm59EOb6YWIcdoSd267E4TxLda2ESBUyyKLRmNykgrVOROa+gIx32bj0G3JHMIMb3LY4n94ifkW5efTlWsuxAr471kjEtvYpKFqSDlizEirw1rJcSgaFETuiorh8/czsyn+rHFgeJPKq+AlEgs3WJnDwvOlVUr4WzegL30kNyT1kDqYHtwszniR0E8fcUzrlP4D3zh5jxG2IKyfBLvUs78dcJE+E99ut0X/WfUa0yiU/8NMGRr8Z78j2EB16L/StUdv6q+L9/IlS5b/tW+O33iAnyddeC6yrUDvX1iy7uvEOuyW/9juFldyl+413wbd9p+d+/C2/7b4ps9iXewZ34a8XMzMwbgV8CHOA3Z2dn//vz/q7iv38l0AK+Y3Z29qkXbChVhFZN1Pum78JfOCoV106lryKGCWWIPZ53oVOP54i6WC/bl4M2hQmcjXMA6PVTotiYGYkVBzfFW6gt8vTKTUkSHXYp15N0oiFGh0ooFE75HCRyMWVSujo2KdVtTBfVQ2hXDQutMtqsY5N5opFrJakwIWbkCLpbl2Q6aIlCXtgWEOpIpVjXFnGWj8cdN6kkm/QQSjkCLKwVqo5S6CiQRNVL9w2P6TVETbK1Lt5diYKoomVHUO2qdAE6VWwUSJU6aGF7TZSXli5a4EiFv7FK4pM/g00VMYUpAQsmNnl2EqIU50iiY92kJOixiIYIWgjIsH5G5ub2vULmntqT2Nw43uwHBWT4GVSnTjR5CzZVQK+elm5XvD86TnitK2IU1k9LN8iavtJjNHBAlN1ig2Zsvj8Do7oNbDzLpzs1kRgf2IfWjqyf5oZ0fbp1VCQAw/Qa0inJDEsHas/t2Ma6dAWzo6jGolAMo0C6XmFL/LGUh24soNZmJWGPQuzAflTQATeDKaTAS0rRYO2UJJLtiiSlnRokS7Jv5Quo9oYAscIU0fiN+AtPYYxsT2+cg37nalU8yMKugHc3IXOY2sXGHTe9Kp5uql1GNTckGVZK5PRTA3IvKQcVBQIkOpXYPy0r61P79E2SI5nRUlhJ3MOOzF9qDzA480/JPvSaWGvQrXJMv/MgnUc1NmTW0UmgTCTAPZGT+dDOJmjpHKleS1RZsdjkQH8G0Pp5uV+8NM7FzwgoclPgpYBYJbB8LrZX0jiVi9hEnuCmf4b/5O/g1BZi1b+40+elRLmzUxVqdXMVpT1Uu4q0L610I5sr0p2JYuEJP4PNjgnVUykBWo0VEVixSEfWTWDGrsFZOIrNTcicaNjtF5NsakCAijOCU76AGTqArooirHV8bGkPTvm8mHpX5wVgpQpAgLNxnmDsBrnOiZxQOZUAGff8AzGwXMbkxtHrZ6S4UtwloCczIl29zYvYkWtjgR6ZzbSpISm4aA9b2g1+TqiYWzOqbqI/E4mfQ3UqRLvujosuVo47kZFO5dIx6QC6Sem2eSnM2PXo+jLRxC2ijGstav2MiMN0G+hIvOGiiVvAS+EsHpUiUuzzZ4YPy7GmB0WMxoQxjRdMdkyKUJsXQWmiyVtEjMQNhWJanRel2q2Cz+eJnQ7a3zWsxX7210l8+u3YdAlVW6T7mp94qfdqJ/66oR06b/lN7OB+enf/W2xhCv/x36T7yv8g4Czo/J02/yd/CvfeC3/wPrjvVXDjDQLOduKLO/bsUQwMQLGoeNNXwHveC8ees2gNP/U2Q6WyQ3X8Yo2ZmRkH+BXgK4BrgG+emZm55nkv+wrgYPzfdwG/+jk3tn4+pra1JWnMj7NVwbaJPNbLEE3eKmDKTWK9ZEwj7KB6bZzNC7Fke0kq835OKsoTt0m3pteQ+TTHl2TPWvGBGpmJ6WIl8pmQsewaurWOs3GGaPCAKOc11+Ju0IDQm7ykJG29eqwOZoWS2K2ia4si4x92UUqLOIabks5dYxWa69LFUq5UzWsixy5FJLVtGpwq9Gn8KhLlONVtSMcBUDZW+1NOnw6qawvgJrCpQenM9NoQdTGeSJMrrUWMobgL0oOSUPuZuMpfRa+ekKQ1ljA3xWlwMzJHEwMY6yZktiloSfKcHkB1q0ITjamGaAfdWMSZexRVnYNEFvfSZ7bVAEGq950Keu00euM0VnsidFDaK6qIykE1hBaHm4aghUkPEI0ckQp7uxwLLBRi+ficXGOQmTw/JZ2rzJCc39ZGTJtysIVJzMBeoUhmR0XWPWhBqihKn70GrJyURFDrWNxETJytlxEJ/kjEP0y6CEoRjVyDTQ1isiOotZNi2ovMKeq1U0Ld0+J3pbZERfITRKPXoXpNeV/Qlq5iqwzd5nZnKuxAe10ogVFPtu342HQpVq1zRWghVUQ5CblHuvV43q0ObgJdvSSd1E5NOmO9hnjOpYqyhrTMrqnagqiBpgfkPnJTIooyej0mMyqJcSInAK7XkHm/RAbVq2PSA9JhVQozfEhELWKRD2utFAmMdLJV0MbZOC1iMK01dOWigEMbyXU1oYAIEP8/N4G1VsBfEHeD8xNCIVVa7h0b9U2UMQHeM78v3ZqOzKfZmOKMJRZKMVLUiYG76lTA9iAQRUMzfrM8X1py/+vaEmrjHNYaEXXJjced4rQ8S0avhUQO5/LjQputL8p1HI6fMenBGCS66HZF7CW8jHS7O5t9nz5TmJaZ04G96PI5AUKpUgzmLmMSGem+RT3pCFuLSZdQIB3ETlWeSY4PFqEs9xpCDYyVHG0iK5RoNxnPAfqxj5scL60NAPm8zBg2MySf0WvI+8OusAsaKyIikixJYaC5JmCv25SCSruMc+6TGD/Xty1By4ya6tbkfBgjzyyFFDGQ2TPpwPo4i0+J8i4WU5yS69ZrxLYn4uWmunXMwH4pmvhZwt33QmyJoJrrogz5IrED0P6O4cx+GD7+U9hUid4t307nK35OHhQ78Y8nlEJtnCP9h99M5yvfjintJfnx/wLli6Tf81WiVvQ3jKUlw3MnDIOD8PBD8JavhZ/4Ub3TNftHEq+5TzE2qvid91juuF3x8nvgJ/8bnDtnufVmRTL5Uu/hTrxI3AGcnZ2dPT87O9sD/hD4mue95muA352dnbWzs7OPAMWZmZnxF2wpOyTJQXtTvvA7YkJt0wOSzAeteJZlSRLJXhObHpJELmxhssOY3IhQceorkpAEbVRrTRS+OjWRl/dzceXYyMyXn40rslW0ttiwJ0DOz8ow/+YF6dQEAu6UNVgvRXjgdaIy56dlNiIzBLnxbVWz9IBUkk0k/mC9JiY/gRk6KMpsQVMAgp8RWlh+MgYBbQE+vbbMbJmon5CqoCVJDWBdT+ZJtjzAglY8P+Oj4uq4Cpoyi9NrxEIKUn3GRAI6tRYz6mRROlYD+whnvlKoUfVlSQKVgmRRksstCmqsrGZGrolppBrrpYgmbmXLGNa6KQFzysG58ClJFlEyg6UcwMjMW2MVM30HNjce01DbKJQkvqkBEQGpzstcYH0ZXV+JkzwtM1nxPNiW2qTJT8l8m3KxW1243Bhb/k+qXRGfrsqcqPW1yzHYGcTkJ9GNNUxhGjq1vpw5QRMzdmMs7x2LxGgHFXREmTBVwmonppAOiSG5UpKgxkbIJj8hnT7HwyTzMpeUGUF1qwKkokBofI4nvk35iRhID4mqqJ+DZBHdqWDy0wL6nYSA8+w4tjAhyXp7U0BYooDNC4AQGmBWtmdFzc5kR4l23yN+ddN3StFhq5DhyIyVam0IUEgPxJ5g5bhrhsz0KEcsHLyMALygjWptioR7c12EP7wE9Frobk3OWRTI9TdB3NWyMguVEb8wM7AfU9olazwjvnrWScizwYZYP9XvAuvKZVFqLe0RsKqcGMC2+p6HRN2+yibtTelmRaJ0KcIiKzITiJXr7iax2SGZ2Zt7mKi0FzN6rXS3wza6viDHGbSkaxN2wM9gMsPx3FZdmgleGpMeEhXN2iK6voyzekooiZ2ydPCjADsQ7/sW3bZyUQB42BM/wqAj56m0m2jqNhFDMrY/14h25Jq6ScLJW4iGDsn9mBmWa9Jal+dRdgyTE4sQZ+W4nF8/118zpAdl9jU9KKbSMUhWnQpO9bL8W+l+99VZOyXdfceXDnVmCKsdbLqEyU+j46KNUz4HXkqOsVsVQSAvLc9L5UoXOJEXcF3cTTQ8g82NCLjVDtHgPgGPbhLr+uj6Kqa4W0Bpcbec+1RJnqPNNZz5J9GtNbE2iXqAjbvCVxinf47YAWh/h3DOP0Dyoz8C6QG6b/zvhLf/S8z0HS/1bu3E3yLs4H5a//T3wU/T/sb/A9oj9eEfpv2NvyuVSWv+Rtv7Dz8C3/tv4MwZeM2r4V/+ix1g9o8xDh6E8TH42Z9WHNgPP/aT8NrXQKMJn/nsThftizQmgctX/Dwf/+5v+hpJQlwfug2cpadlxgwjan69lnTGUJJwJ4uSMFRF8tsOHsAmCujKArg+ZuxaSGSku6NdUUYs7SLKT2AxUj0OO1Ixb5clOc+OUGt6LHb3yM/FaZzyBZn/MFFfltrkxiHoSLfKROBlpLrbXMf6mbiKOyZqZj0RlsASS5EbkevPjEp3AYvJTcR+SvG8ipMUf6bsaDwnI4mq2ppt8TMCFGMJ6764RG4CO3QIsiPx7FgoCbmfkcS3MCWAs1uTCn59GWf5OXQlvjTag/YmujInowPZYSmY9RrSaXOFnqY6mzLvFydkaFe6X25ChAhyY0TjN0q3ws/IfgwckBk2a9HVy5AaEAogSq5BbREcl2jXnZJIb81Z9ZrY/JiAjKgn1fIoIBq9Ts4rgJ8XSfFuXahi9SV0uyLJb3ZUwLM18lmxEiU9oTbqlWdigQuNTQ+gNy9KJwtg/Po+SDSDB9HLz0rFvluPE3SZf1Ldmpjkbl6U7kyqKJQ8LyMdrW4dM3aDWD2EbekGpoek45YeQG+clWPRTh8Qq7CFzQ6jWpvS+UsPSiJsjYAejIApa8Wbq1vHWXoGM3xYaH+9JroZJ7KxP5v1s7Ga3ZB8RqeGaizLfaUdKYyAeI/ZENobkCwKTbG1IQmudogKYhlhJm6U468tomvzQoHsNaUL1BWQ4s5+CNpVzOB+UWTMjcdqpEMCWkt7xN4hPSD3ZNQTa4XKnCgLVucJJ28Vdb9uVYRnakuosINJDci58DPo2pJ07rSom2IiAfnx7CdKixBGPGdn8pNEB14tazQzLEqOK8fRrQ1MahBliAs0JhbxqQvgT5WwhV2YwpTMmirV78DprRm7dEkAgRfPd2bHUFFINDwj6zozjBk8KF6OToKotE+AmJ+BzBDKRDhrszF9U8WegT5ULuPMPS5iPo2lPo2QKBAqZG0JZ+lZVLuyPVumtKyTsIsZ3I/u1jCJvNzL1XlsaY9QlR1fZO+VRjWkMKNM0PcWM5khAd4mlPnKsEs0fiMmNy4d7dFrxcg+Oyq06qgr87SxQI/Jjcn5z4qQjhk5EpuXjwnzIC5ckJIuHEE7Fv9YRrc2wc8JK8EqsKHMQzZXUUGbcPxGOQ/y7YAZ2h8r2ualOOYm+OvAr50ZtL9lOBc/S/L/fa8s2MNfgf/QL9Pe9TJ2JPX/EUeqhHP+k7gnP0jrW/6I1J98N96x9xPufw2JB95G+y3vlgfWi0QQWH76bZaLl6BUgnteBj/4/TvzZv9Y4+V3y3V7z3st3/xP4f/9GfzXn7K8/OXwi78E7/plOLB/59p+kcXnuiDPR9N/nddAcx0XA64DKoJkFpIlmYFy41mYoYOSzAPYTGyMGlfNNy/A6BFohLimC9O3iuiBl4a5R8ErQmMF9t4F5UsQSKfAGdoH5TPgupSGUwxE62gGwXRh7BqcsCuzYzaIh81dKI7JHFHYlNknLyFeRtd/LZz/LKyfhOGDUF2EXhWKE9CuQW4IPBdSGfndwB648ADkRsHzYe/L5LgzI7B+Fi49AmOHoDAs26pdlhm27CC0q9DahInrpSNQvgjNJVRhnERxFFqxMWunLOdvaK8ck+PC0G5QAbQqcu5cqd6THYB0HpSRhG3sMFTmodfEHdwDvRr4SXA9yXlUCIUJmcmrLeI6gOdBfUXOTWtVzkvQheYKHH4dnP0EJFKQmJZn/NoZIIKRfXD2ARjcBQNTuI1V8JK4owfknFUuQLqEs+sWvG48/F8ak3O5WIHRg9DckI5GdVEmIntVSOXE10MDXZl/w02KOEFtAcZuwAmaci4zRXCSUJkDFeH36vL67qbMSA7ukfms5RNy/RprOAN7oLEMd74VLnxGuhmNOQjquNkCbIZQnhXl0V2341QuQ+U8TNwIA7uhuQydDTkHiYxci04Zv7UI+SFJNrsNWX/tTRg5IOdSGyiM4TUXJREvTsq9kYgVTnPDuJm8XPPhQ7B+BoK6AC8TyLHWF2B0BnIDsPsOHBVCMt0XdaA4BeXzcq6yJWga2LwoRYDOupxf7UFuRGiZ07dId7O2JOc8MwFLx/BbFVmL9cuytoI65Mfl2JSFRFrup4lroL0mx9mrgglwfU/Wr1OExhJkh8H1cKK23Ivli6As7t7bYeN07Fk3JZ0sNyHXPTsqx+2n4u55ACvPQLog69fz5fp267imI+cjsUvugfSAqEq6Hlz4LDgaMuNQE+ouhQkcPy10Yi8pn9leg+IuOd6R/ZDOwMqsdMbWT0Fptxxzr4a7+rS8pluFxiroYVlDDjC0R2TorQPZ/SQG98PcY3KNezVZx8UJSA3Gc4OOnEelZd17GYg64CZxa3NyL45dA9X5WO6/DVrLs3BwHwzshYWj8twcPgitMk4qI+fJ8SGZh9VTkCrgmLbc42snRNhl5tWQykJ+TM61Rp6180/hzn1WnsNBVc5N5SzsvQdOfQSmbpL1ph3c9pIcd7oAkzfLcy2RkjXsF8DVkB+NmVYKmqu4c5+B6dshNwyOj5vOQmFM1mRbaKxUL4lp/IvEDkD7W4Rz/lMkP/AD4CXpvvwHSD78v+h86//dAWdfAhFN34nNT2EH9tH+6l8i/UffLK31ZJHkh/49nTf/rz4H/flhjOXffL/l+HNQLMLL74Ef+n6F1jvr4h973HoLlEqK226x/PN/AQ8/Cm98Pfzkf7O8+9cgldq5xl9EMQ9MX/HzFLD4t3gNHLiP3tIpVNTBZIZwOyeJspNSIa8voVpVTG0VMZvSqHZVxBVqCwJW/AImNOjaCtbNCFUskYvlqpNYXJRyiRJDaGcNstPo6gWi1XNov4h188J+Clokwh4i1hGiyxdF2EC7EIYYJ4HtBZAYRJX2gZ/DWXuIaPpOeuN34h/9Y7QxmG4bZRXWaoybx2lcJNz/KukA6CRszhOlRtDjNwttzUmhF5+TDo93GRt1cIwl6naJigdxF46j/YLMh3XaEEXg57DNCrQ30M0ygV8iaS2dZh1tkI6dm4HGBlF+N9rLS4K7fEoG+POT0n0yoVADx26GbgN3/misuDcAysMOHSLCw6uvY0aGIDmAGToknZsLD0inL5EndLI41VPYsINKDQqtLjeOO/8YNjVAqNO4fkHAKhbbrqN7bXq3fickcnitGlYn5HuhsBetk5hGDdLjuMagOjWihWdR1mCKu7E2Qnfa2JHrwTooq8BJQ2pAaJFhhNUJTCaBMh100IN2PEPTrIgy5/oFkRpvVYjGb0ZvnofcJH4qRxD0UJvzkMgKRbG6ihk5jMtp6LZEtKOxhg56hAvHUe2m+Mp5CbRyCSur6F4PnDQ2UZIkdfhanHP3w9yTRL0Ap3xZOhRWg5tBdWuEk3cSDl2Pf/azsaKhg0qUUDiYZhVSw6h2GaN8EavBQGTRUQRBA5sZJhq5Fjod3KCHXTuH9bKgk+h2DdBE+d0oA6yewSQHITslXZ/cHtzNRek+ddvobhuTHUdtXEI31zCpATnP1VVwM9KR67VQaFg+KZ2hZAmCHrZRJWEiQlSszNoWKqCNoLYqNE1r0O1VovGboLqGcpLo0IDnCV20soKKxA/PwZF7phoDvcVjMsvU3iSo13BSwziVZ6Am4hR2YASbm8KmBtClCs6G+NzZsCtzZlEPAhHKUN1FTGoA3axgIoteOkY0ch02PSbiM0tPQ2ZU5pmWT2CtRrfL2CiMrT0UNorQnUWsm8WoJI5VhPioQMRjdMwAYPOyCOjgY3DBzaMGDuB0GphWDR32oBLTi9EEh7+alG3Rti6O8tCBiMPYRBFduYTxiyijxesvNyEFEccTsOpkhU6bLGA7HdABulUBExINXYPbe1Yoir0OphfguFmIAsKJO3DOP4CJwK2vAxaTV2irIQow3S66F8/AtiqEl59FG02UGMDOfBXO0rPQqeGEETY/LLN2XgGVGoZuh3BzBTcIiaZuwDn/KXSnTDh4GBVE2NQounwWBXRv+Bb8+poImPhFVKcJyUEx2y7sRkUBUaOMHb0RvXoS26xjR2+EoIMTCN2V/BQ2PYj3Il9kOxTHv2E4Zz5G8s++j+D6r6f1rX9M4pF3wdf+ohiD7sQ//vDSMo9x7pP4T70HM3IN/uO/STh1B6qxiv/Az/K5PNKstSwvW1HkTcPXvhl++AcVjrOTuH8pxHXXKiYnFB+7X/Ga+6TA9+GPSrH0595uxStmJ75Y4nHg4MzMzN6ZmRkf+KfAnz/vNX8OfNvMzIyamZm5C6jOzs4uvWBLlctEu19GNH2X0ITcpBiqtst9qWubGSaavIXeLd8hprZbEst+WqgvrbJIrU/cIgmmn5YEEivFHz8nc0LZEXT1IiQLscnwOsGRryKMFHU7BH4eO3xEDITDbjyjoiRJ1y52YB+qXRZqkukKlclJoleeE9XH3Di6tSGza1FXZM5tBL0WNlWUhC6RE3W09qZ4oDXXUa11dH0ZMzKDLezGDB0URTJrROXQBELhLEyIDHosWx3tfw3R8GHp5G0ZaoPQGgHrZVBRnMgH7VgtUomqW9gVyp8J0aunREjATRJN3RkbCXfR9VXxYDKBJOCZIaHlKS3nKhaCIGhinYTMa+UnRT3NRuIf5SYgMyhCIUELOmKqS9jBOfsxsaQuTsvsTBSgu3WZc4qNu20iG/s3OUKL8jPYkSNyrpurMncYtEU8IOhCehAzcoRg7ytlbgyEGpkdEbokRgBstyYU0aEZdOViLEDQhKhHuO818joQoZTmqsycOV48+5ZDaUmE3dkPizCHH9sHKFforF4Smx0T+fulZ+J1PSHrOVXCjByROTXHF7pkpyL0NRCrCTdJuO9VQh20RnymutV4/scjmrwJANVYwQwdlrl8pVFLx4TmFs8JkSqJwIyfjSmOVUnilQMmwj3/SbkWlz4tEu5b71W67xdoEnkB3akBobeV9sjcVNSV/e01oV0Rw29rhLKZG93ehnaxgwdjhc6EXFM/I8qoYUfmQGtLfTsI1WtikzlMfkw80RxPPOr8DDaZ69MAQaOb6+j105iRa4RaGnZFtCNu1uuOUDhl3skS7rpbAKKfRgVdmVnr1qFbQzdWMYVd2IE96MWjqOaG0BQPvBabGxE/xcK0zIOFXUxuom/pYTJDmOIuVG0ekywQTd8h6oJHvjqW8p+Sda9iL7yRa+P7p9f3YMNLia1EekD2L2zDxnlZl2GAyY30abEy91eW2VVrsU4y3k5KKM++GDTbmMhgk0WCg68jGr2OaOwGuS5eFt2pCfso7GBTBZyLn4kFUjbjmU6Nbm/I/iuH4GXfS1TaJcIvypF7r7GMqs6jG2tCnc0OE8y8Pp4/FWEPTE/WRnVRLCA2zog6aiDPWRW20eWz6G4da0Lc+ceF3psqimn7yBFR4s0MyfPIz8psauUSYEWFFYiGZ2LRIiug2AQv+kW2A9D+BuHOfojkR/4TNlUkuPGbsQN7aX3T76FmXv9S79pO/D1HNH0HwW3fQedNvwDaI/HQLxNc87W45z6Bd/R3r3ptq2X5qbdZ3vqv4fx5+K5/pXjrd+4Ignwpxqvvg2/4OsXbf05A2sgonDwJf/i+l3rPdmIrZmdnQ+D7gI8CJ4H3zc7OPjczM/PdMzMz3x2/7EPAeeAs8G7gez/nxlZnxbx5/nF0Y1W6X9qVea3cmFR5hw6hO1Xcc/dj8pOYwqTMBJkoFlYYE1BUvbw9G6W0AKPcKGbfvfJlrxxscgDjZ2NvsgLu2Y+R9EOGffGhsokcZuQw0fiNAqYywyJe4KUkgcyMYFOD0KmjbCRzNV46Tj6T8u8o6Hto2UQe3SrLrE/UwwwewKYGY2l6D1AQz+VYP4tNDaLL51G9uszadSoCVuJ5C1vaJZLeMZA04zfGSbWYDgOSlKeKkpjnJ+UcFqeJ9t7btzWxmSGZrUkU5HWZIcIDr4klxUdiw2zT3w6oWKAgihX6uuhuU4ySUdjMALq5DI1ldG1JZk/Ctvhr5SfkfV4KM3qEcOoOMSJubrClYGmzo0QTN4mXmh+DjagrSe7APtlvLyXzfsU92OwQ1k0SjV5DePjNAJj8GNHgQXA8lOsJcB8+3Jd4JxYvsaW90kXsVAVwFXfJbFlskq0ai1K5T+QF9OfGCCdvkS6mmxL1xUQOmyqIqMfYDSgnEYO8uoCfZBG9cVoKDa4YqlvlSoKeHhDw6KdBa0xujGj4CLrbiMUn0oTTt2GHDwtYC5qxal1IePAN8RyekLOUNTJT5iYI974C5XiiZun4RIP7CffcI/OcsR8cnaqskVjcJNz7SjExVzKPZgb3xzNERkRCrMXmRsU02U2I/148v2i3Zoe8FGbsBqGFOkmC679eKLJRIIAlVUQ1lqTwGovfmLHrBVz0GpjhQ6JiOLhf/laYknssUZQCAcj6jnqxAIj4I9rClAiBpIeIBg/0fe3cC5+Sa7CV3G+psvqZuIDSiUVQitjMoJjA+xn5f34KkxmV+z6ZxwwfltlX7QtdzksJ0E4PyP3j+OK5VpwW5ciwI7NSvQZm9DrcUx8QA/DWhojTAGZgn8jNd6oCmINWPC8pM3Pi/RULXIxdJwUGP4VuidWIam/KPFm8JnB9EU/pVLDaQW2cFREaPyvzvW5szL18DOtn5fxEXUxpF2bsBumyFaexhem+8I+uLYhApnakyJUbw6ZLOOc+gVIOYMXiw0v1LTd0+ZwUj5IFdHVR/N9aZVF9bK7LXNrUrfE9toopTBMefpMo09ZXwBrCg2+AzIgItygthbiBPUQ3/zOi8Ztjm4S6qF92qvFM4n50rNaom2tEk7fFRuNrsYXC548dgPbXDPe5/0fioz9GcO1baH/LH+Id/2OcuUewA3tf6l3biS9E+Bn58myuY9IDhHvuIfHwL9O75dvxH34XztmP919aqVoeekiEI/7Lj8PX/ZMdYPalGkODiqkpxeqa4shheOYZUej8jd+0PP3M30xIZie+cDE7O/uh2dnZQ7Ozs/tnZ2d/Jv7dr83Ozv5a/G87Ozv7/8V/v352dvaJz7mhREYS6PSg+Ok019CbF7GpQv8len02FgAw0iFzEiKcoR2R1/ayojzXWJEh804VlCI8/JXyc00ad6q+JJXy8nlUt4YZnpHE3Eth8mOY0WsFmCktQC9ZwObGYgVBqcTa7DB2cD82P7FtXBtXvkWQI8Rmhgmn78KM3yAJS9QTWfAtRbFkbPanlSTpYQdVvYzqVIn2vaJf7VedmtANEzmhQIJ0qIq7RTwh7IhPlrViDqvjdENpCNoi72+NVLKTBSwaunXM6HWxcMQw+BmCu/8NYHFOfxS99DQ2URSj4sIktrSbaM8rhXblZ/sJnAraGD9NNHIYmx2WhBu1LecPfWl0Z/UkZvQ6EfRYOYYz/5jQpQb2SmfLTaHXTiHiKWOYXXdI4p0aFOEUa2L6lg+JnHg9NVYFMCglGG/kGszwNZIw1lfQKydEhbGwS4BAa13U6vyMdGzWZzETt2CLuzB+Ts6h40NmALPrZSKp3mtIl21gaG3qSAABAABJREFUr5gJO67IpmsXXV9BBR1UIJV/eo2+cqN1/NicNweJvBhyD+6LTb3ZviZBB9Do9mYMbnTcLXSxxT3iXRaLxojSY0Ku+cpxMdzOjhANHsBqV75L66sikJAR8KCbG7HoTDpWFR2VtTp+4/a4iJ8m3PtKTGFKPPhiYRCbKkKqSDR5K87aaUw+1veJ/e5sRozIrZuMTddPY63FZAZxlp6GLYGaZAE7sF/AKYjJsjVEYzdgBvYJAHJTIi5hQsn30oN9sQpRXM30gZpN5KTg4KcFgICsq+VnpZPrxYUM7WATOaKxG+ScukmCI2+OlThd6eTFnmM2Pymdaq3lM72kgL9EXgR0Vo6j6iuo+op0thorqNYmztopAbpBCxWFsp/pQQEoG2dF4t1NikQ8Wu5jP4f1MpixG4j2vSo2QY+tNjBifu144qHXqQj4inpiNeKnwctgcuNyj6nYYsBNY0q7pTNW3IUZOiCiIamiHLO1KBt3g3tNTG5MQGp1Pu6CdQSgt9blmRaFRJO3oiuX5fnoJmQ/Ldj8ONHINZihQ5j8RNx1nBZmVHGX+KCtn5auXmZUClqOv22NEbaJ9rxcCiNeCr16QooUQwchMxx34y4LKE7kRUFSuzgXHsQmcjjrp8VjLT+FyY6KKmQyf9V0s+pUpGOXLMUiU58/dgDaXyPcZ99H4hM/jfWSmMI0zoUHcU99QGgVO/ElHWb0Ojpf95t03/xOerd8G4nPvpPebf8S1SpTLlt+9McN3/LPodeD3/4NuPtlO7fUl0Pc90r4sf+s+Pc/qPit34HBQfFKa7V2qI5fUuGKrxmuLx0v7crcgpuQrpObJJq6Q7ppXkqMUz2pHlsvDb0mTvmsJEaD+/sKamb8RplXyoyIMiGIpHQiHXfBxLvJTNyMmbwFM3gAwthfCIWZuEU6IjEIU4GoJ6raUgzwGpjBA+jaPM7iU0R77+2rsRH1xAh3cy6uYicBG8+sAMmCALr8ZKwImZXqtSMm0DY/js2NoUxINHUn0e57wESYwYP0PePq4mVkxm6QDoSXZivdsMli3H0sSnLW2hB1SSWUKtVYjDspinDvvZJkKidOmK8ROmWyIPS81VPoRsxM7TX6qn3R4H6UmxT/peYGprAbM3ptn7645YtmC7uu8KjLitrlyBFUr4HeOC+muoNShNXVy1KVVzqmsVlI5kUhcuQwvdvfKrQu7YpEfXMDmx6OlTVDocG1ypLruknpUiXFkscM7MMqV9ZGfiLuijgx7U86D4RdGJ4Rmlgi3wfqWCNecT1RWbTJYuwflYptCJQkr8mCWDp4SfF+8lKEh98EqRLR1O3SrRm9TrqCh94ogC1W5BMqlgLtCNj1M6I+6WdlbY9dR7Tn5VJk8EW+XzU3MGPXQXFKvME6ZaG/WbDpQcIDrxG6KAjdSzli4l2+IL/zUkJvNSG6U0X1anI9gxYq7nbp+vK2dQAQDR9GaUcKDl5K9tFNy/3huNjibrF1SKSJJm4Wxcag3b8eNlkUMGoj6b5Zi147KV5zuXEpSHTFzDyauk0AS9STpBtiT7qUgOOq3F+qVxeglxmULk1xD8SJua7NgzWyNlMlzPiNhNe9BbPvPrk3nQQ2J4b0urUhXdjRazHZEQHVxV1yrbMjmMED4kmYGYophFbAdm6c4Pa3xs+JjnTwAYKObGv4MGZwP2b8BmxmEKU1ZvQaAeleDE4dF+v4RPtfLfeNn+mP9ajKpW1lzaAtVOvaskj656ek0KPdWP10XGZUYxVHSrtBaUyyIJ3ndEkk/lMDMQjNYAuTsm669dgSoSsKnbkxAWeZYaE7Oh7R+E3oXj02B7cQdWRWuL6E3jgLJhLwPXJYBFaCZkypVdIh7TWF0mtCmZGLC08qjP1wlY4BahozfAjrZ9DtTelCNpaxjtyPJPPSZY3DlvYQHngd0d5XiNKmiaBX71s3fL7YySb/ivCO/h8Sn/p5MAHd1/wkdvggiU+/g87X/IpU13biSzuUkgdF1MN75g8xQwfwH/11Np29vOPfH2Xu2ALFIrznt+HAgZ3b6cslPE980kaGoTQAtSo0GvB132RZWdnppH3JRK8l3QprMYUJSQiyI5jiPqGlhUJz25LGttlRkX/30uhOVYBFdkxAQGNFJLI7ZfFFC7uxBxSEh94gXYTUUJwApaFTFxEAa3Bqi+iNU7FXkFSmhZIVSPeuJbMs/S6JduN9c4imbseZe0S6MgkxW8ZGkkTkJzCTtxLtehnRrjtlZiwGgHZgn/ikFSboveKHiPbcLSInuXFMaS8mLeqRNlXA7HqZSJNrRyrHAFihMmWGr1IrU70GZuwm6Tg6noCmGCTiuIBGWZFsN1O3yZsSWezgAShOEu6/D1KDQjcNGpjsqPw3eEBk5BM5lHaxxsSzHj7O+ikxL456sRGtxSSLqNYa0eStmMKUGG/nJrHJEiY3KVXzTh29cgIzfESAeGpAgHds7mzyE9JFSw3hLD0tFNTBvdKZSRaIpm4nvO4tcbI6KbS29KAk0ybEDB4k3HNvDGARkDB0SP7vJgl330N467ejYnDEpUcE/DpxBzUzBKkBuR6FKczEzXIc6UGR4p+4CTN2LTZdEqqXl47PtXSoopFrhMZVX0GXL6A2zsp+5EZlFslPiz1BYVreo6XTZN2EJOm50RgEIgny2A1yn2hXQI4JoVNDNdeIDr8JM3GzeP8BZu+9mOEZwv2vBWVFWj6mzOJ4RFN30Lvhm9DrZwgOvAabHur7ukUTN8kclZVZQBJxt6pdlns2kSPcdY8k/8OHZDYyWURX5sQE3kvLLBDI97vjCvWvsSrnyUkICPYzsu6UloJI9bJ0RRwf2pvYRKFvwGxyEwLEG6uS0HsZoslbxOC510Acj12RyO814+1nxUR6+VkA9PKz6NWTqOq8yLPnZaYy3H030a6XyTE5vlD/hg4JePLFuiM68BoBD1Ek4LO4Wwo5ybzMoYY9ea44AtBsfhKUI4C4Wxf/tCtnqZN5TGEKZ+0U0fBh8XdEE1z7FoI7vzeeowUzcQuqModNlghu/lYBKPkxbH6S6OBrpQiSLAq1FekE9m2LlFxP1av3nxVWu9Kt3Lo2SgmAGp6R9ZYZlc+LO5dm6g65r1Il3FMfklnL2AoAJyGA1BGlVJvIEl3zZvTqCXR9VQRmcmPiaQfYwf0QdjAjR4TuXZLijKrOQ6dKNH2n+PNpB718TJ5BcUQTtwj1vbRXKMjFKzSolJIin3bkGL10bAHy4rnCTkb5IuE9/lt4D/2ytLxHriU68GpUq0zn9T8tFY+d+PIJx6f1HR9Edev0stMMfuit3J35M/6/t5zkT9+vmJ7euZW+HOPGGxTv/lXFf/wPivMX4NABGBgURc+d+BKIiRuEwpUeEIEOE6FbG+jqHLqxBiCzDX4aM3ytfGH7OUBhlSPUrm4NcmPYwUNxJ6QXU+SKOAtPxvQ2V8CWDVEx1dCOHI7FEiT5M1N3EI3fRDR6RGaVMkPxrJhDNHmL7G8UiCBALERg/IwASMcXmt3Y9VIpTg0AFl0+jxk6IJ5QW10+pWX/Yoqe6jVxn/tTbLQ13xVIglnYFXdRROTEDB5EWYNuxFL6xqAqc5L0bW0zLUmdaq1Lwjiwj2j0WqFkhm2IegSHvkI6R821/mVQ7U2hGwGq18K4YuKstEu0+25sQZR3dbssFCWlMIP7BPgmcpJwaxczeq3QrAYPEO29V5QavZQAw7CLri+KR9jkzXIO3URMQ+yiNy9gdt0pQBDkuLw0unwOvfCEdDO1K92sTlVMlKtz6PUzmMlbscMzMQAx0mmL59t0T3zdtiheqh6LiaZKIqeuNNHQIQEi6UGs48p5166ArXZZhAlKu1Frp0VgIV2Abh196WH0/JMxHbVEOH2n7Hp2WMBSfByqvSHiLFu02LCHqi+Lh9TwIQha4pnlZwSA+yKkEe1/dd8gnLArogh+tr+Go113yfVNFITW2d7sz/QBqPoyqlvFJAtC8UzkiPa/GlPaJ50spTEjhwW0eimU9kRxsVOVe81a2WflYCZuxubGiaZvBy+Ns3JMunDVy+jKJZnxTMXS7Dd+gwAUPyPHNHa9dL/chHTJknnM0AG5LuuniYYOyWxVekgScGvQQUuoeok8ZuAAZvgQ4aGvIBy7MZ6Pi3AWn8YM7peuX7ssHejCJOGhN7JlVK16sZm70rEh9u6Ybirzn1gTd1E9dGcTXbmEc/nR2PdwEaUdzK67ULUFotHrUKaHs3oiNkAXE2zVXBMD8NyY2BPIDSqiJkrHs1lFzPhN8Q0nCpc2OyJm3F4qXi82NnlOsMXbU5U5QMfFgqKYnucmoV0WH8bcKNGB1xIdeA1WKTHFVkrAidKYsetRXkoowY1VSBTEwL5TJTz4OqK9ryS44Zuw2VHMwEFsfpzwwOsxxT1yP3WqIgSDxQ7sFS+00m4xS3cTRIdejy3uonf7v5IZt1MflE71wJ7YdF2eeyiNqszLOoi7+VuA1Qwe3O56Vi4Lm274cL+wAsS+gC7RnnsIbvsOWYdxRCNH+v/WaydkdGZwv3zui8ROVvl5wnvkXXiPvxsVBXRf99/ofO2v4Cw8RXj4TUSH3vBS795OvBSRLHDq1nfRXl3hQ4tfzesm/5Ib3b8UpanoxR3hd+JLN/J5xeEZsVY4NQt/8AfwtV9vefSxnU7aP/ooiwqXCuLZkMyQmNe2NzH5cWx2lPDQG2TmYfiQVMXDFqY4hRnYixk5THjDNwggOPQ6zPTtMo+x+x5JvkASJMAO7Ec317E2Itx/H9HINQTXf53Q1lJFVG1RqJMD+wWADOzHpGN1sIkbZVtRF2f9NHQq/z975x0mx1Xl7fdW58k5KOdSsCXnnMCYYGBNzpklLrCkBRa+JbPkYLzsAkuOJpkl2ICzLWdLtrJUCqPRaHLOM53qfn+cqu6ePJLG0si67/Po0UxPdfXtW+mce875HUkbixZLup0XWbO661FKySpuYQ1ufjWB+gczinoyHq/+xwqKAWoF0fmVBJse9yJoNZLm6K2g61ippGPF+3Hzc7JKAkEx6vTY6yC19vmeoEaeV39WJEIGNRtxixZmmi3nvi+1/CrSNV6T5qJa3OVXYvUcQbXvEyMp7UlXgydKISpzwfoHxbAuXYouXojqqkMNd+PWnkt66WWSHummPEEUxCFbeJ7U3SWHxUGO5IuBnZT+TJmV8VAMwEtPK/aOwznowgWka84WgQzPOCadINC81fs2Lunq9bhlqzLHnkih54ypTIRN50Yd3aREZcJ5YIXFSYqVoD3xBoJR0suukoiDZXmNrGX/Oq9MlAa766TuDySS2F1PoH2PHO9AGELRrPPpP8+sgKfkOCDOVzopUU2v1Yz21OkydWaJIVLLrxIHBcQRK6yRRsZxiSjntiMS1cYwFC8Wo7l4MVbjFnGOlMLqrZeISKQQhRa1TaVkfLFSkhe9LRs99JtCh/NlsUMpibJ4QjMq3i+pgJXroL9Z0lcLayXqWX0WbtV6KFmKW74CpdOkF19CetmVUtMX75fvoixpDp4cIWVfnzkHVGJIzp3yFaTPfY2koRZUyWeWrSC17gUytkAIAhFRAUwOi1O19BJZSPAdMi+6opUlKZfKwuo6JK0WrIAICHlqgQCqpwGrcYs3twH5LkUL5PMSgxCKSXTNTaL6GnHzq0itfCa6ZAkEwqTWvUDOnbJlkoYJsi9AF9RINDUQJr3wPFL280itfOaY61kWHUQZNNDwCAQi0th7tE9SXpEFGau7LhOBTS+8QCKgXkP29ILz5DjUnoO74BzStSI+Qs79QcfKSK95Nm5+JdZAsyhxuin5Waflyqpcg+o+JOnKRQvQwShWy3avSXSBiNGAnJ+JEU/cSGWEUNySRVJH2nNYhHPys2mK6eqzcCvWkFz3QlmggGyKaV6Z9Jvzo+tev1wdzpdx5OWkO5atxi1ZKhHrnEWoyTB90MajNeHNXye450+odFIEIhacQ+yP78SttOWkMpyRPPCgy8f/YwnLi35FW2IxSy9eyzmtX8V96BB69x9Jrr+B9KpnnephGk4BCxcofvNLOHgQ3vdBjWXBRz8O//ZBl+dfb9bBTlsKKkSRrbBGVtejJRAuILXuhQT3/hXV3+TJd2vSSy7z1Oi01FekU2I4lywheOB2rPqHcMuWERjuwhpslbqUWKmk8wGkRiR9snoD1lAnqucwKjFMasE5BJu3oYY6UPmVGaPeLVsB6VFUOpnpuq3zK8UR62+V51eJKDymlntCGhoxRlKjUqeRXy7pOi3bcWs3eSv3nsMYzs/Udui8ctyISIi7lTZW5wHp2wQQKZIV63QS1d8M6Gx0BsTRUlamiF9QMmalxOC0glDsK82NiEM6OpDdRekykU/3f4+WiFx5TFofUFCFawUJND8pzl/xIlTPYUkbDeWjOg9IL7BYKallV4iSYmJIaspQuJ6zKXVdkoakQBQO2/fKs3/hBRnHJbXqOgCCB++Qvk7+uIoXe1HUfNKLL5XIjBWA0T6sSLHXPmBIUvKsbFRRh2JYXQdJr75OIm6ly8auzsdK5NhECtAli8RRD4Rwl12Bm05kDL3UqmcRaH5CpN3LV+EuPJfUymsJPflzXCuYdfoCYRGk8Anno+KDWL0NUjcWKZAUz3CB1GIFo1L3Nc7Z9iMtSqfRgRDpRRK9IhTzUimReqP+ZtyK1ejCBajeI955AunajRCMkV50EYG2XejihbjhfHGiQFJOe+q9vmtIOm9yJKPoR7xf/qVGUX66mPe56UUXiVOsXYmyBKNyrrjJjHOjixdDakT6k8VKSK55LsHmJ2VxI1IgqaZlKyS1MR33lCRXSzqdc5t8p3QCFZDzRHUcxLUCuKVLcavWe/WHaYJ194OSOi411C51p2kR7HGLFxNo252pd8oc88IFWB37JJW1eJHUhVauhdF+3AJpiZFaehlWMEqw+Unpv9hzWNLxrJAIZyhFatHFBPf/Q1KeraCIvoRiKDclkenmbRL57jpIuta7boOS8qd6jqCGu2SRpngRDHdi9TeKM+uRXnIpgcP3Y/U1kC5elFEGVcmUl00AOpQPkTjKS2/NLO7klZKuWofVskMisP3N0LINCGANdZLOnGcW6WWXy4+pEe+eojyxpCIIyrViNTyKlRxGoySi7KYk7dm7ltzyVahIO8HdfxR5/kAADZJuHIiIMmnDo7IQYAXku9XdK+0ximol7bdyjURQO/aRrlqHrlybWbRJrX5OZu50YQ1uIIyOFhFo3CJOMkhEuHo9uvtQJt10KoyDlks6SeSOTxJofpLR535JHsrFi4j+6T3ovDLi137yVI/QcArQWvOrmzU/+glcdikkk0t5+ZUuG/v/TPK81xPafjN6uItw71FGVlyD1XVQCoE9xSbDmUEwqFi+XGOvgaONksHx9W9CaalrxGNOVxZsgtFRLypRIoplhQu8SFoRujScLXj3C8TBE53IF5XFrgNSd1W1ATXcI/2NItIDS430iPodyGrwcJekJQYjUrsy0CziHJBTt+G5Y8qCghpSXtpecN+t8sAPxkQQYqAZa6AFd6RXUo8At/ZsSEgfNJUYFEM0EJZV8LTfk0dlv0NBtbyuXUkrA1FW88bh5lfiFkuqmOo6mE1vzEFpLY5IKJpZmSc5nJWNH+mBvHKs+s1S/1FYiy5bJalUUxGK4lZvyMiogxh96QXnSuF+uwP5lbhuipR9PYGmLSTXPFdSLAurUT1HwAqSXnKJ7C9aKkZ6tNhzOgJeVCBGauWzsLoPEGjaIsY5SD2J5zRYAy2kS5aKUIKbJHD0MdKLL0YXlIvRnhgQ5y6cj+uWoqIl4iCB1N8Md3qKnyW45aulj934voqBiDg+2s3WnrlpSQXtb5ZjHwxLJNMzinHTBA/cCSjcynVYoTx02XJUfIDU8qsJHn00s/t09VmoxRd6qa8eXpQgtfo5sPJaggfvHBP9AiAu6pBojQ7lETjyIO6iC2Uxw3cwcxzN9LLLsRrDol4IBNp2SwuHwhp05z7pE7bsyoyRS0GFKD1aATlXRnslWjLYKtPXVY812kcqXIBbupRA16FMlCbQsk360TVtlcbB1WdJ+lxi2DtnBtFhiTJbfUelZUSkUCK8Hqr3KFbLDtzSpVgDrejixaTOeqkY77WbCDi3ybXlRxzzSkQcItye/f5KSRQzvxwdKZZaqrwKcSR1GstzXiXtNQft4qcRuqXLJY1ZWaihDgId+0itvFYWKCrXovubRXDEFwFSYQjnSb1UKCaflxySRSFPeTxduwmGulCpYdzS5RLNVmOfU7p0idSfxYoJ7v97RpBE/uido6GYpCkmR2TBI5gn51zJEmkRMdwpUbBoEapt99jvGAijS5ejmp6U75salihuOE9aQkyCDkahsEayEqrWe+nNy0hc/gFJNe88gDXSJemSfU2kVl4jbRYgow7rNj8hY6y0M1FJlBKHOFaCW7yEYMOD3gLSaqx0PNMCxDuo8l8qjhVvIl2yWJpQH30Et2w5VK6RmrdwvvSs80VGQESRglF0ftWY1yfDWA0+yWGif34PVtsudDBM9J4vQLSYQPM2VGqU0ed/I3PhG84cBgY0H/qI5kc/hksvhc98UvGVLype8MIgiUv/hdCO35Dc9CpZjU0MELnt3wg//B1v5U5n+7oYzggiEcVN37L4yQ8UhZ6d9PtboKnZJZk0dWmnK9qXF48W4S67DKt9H4QiuDUbJIpRtV5ELQprJDISDHsF+HW4tedIMXvpMukDFSnISXnJOSeCnqMRiIhxU1gtkaj8cnnow9hUamWJil5JjhJYQqJwOr9cIjM5Agry/qTUiFRvIF1hS0peMJzZ35j/IwWg07gLz0ON9IpiHng1XKsBcBdflEnnUSO9U8yeC6E8+c6ege+WLM32ExvskLTDmo2kl12Ju+gCqVEZH60ZjydxnVmFDoSlf1lvgzg+o30iP48rq+menD8gKY++aiWATnvz5fdUG5SPSMWx+hpIrXgm6ap1EinMfL73XarWoStWkV58kTixBVWSWppfJc5UuACrY5/Iz/c1okNR1FC7vxPp81a8RJpDT9U70wqATmXSEdMlS7MRl1CeLACUr5Z026q1GQcwXbGadM3ZoDRuQYWk4hYvlkbX8f7s/vMrcD1jPnPUvPRF4rmG8vjx6YzQgS5eKOUfSmTZlbd/HYx6SnmWHG+U1ByBRKDyKtAli0nb18NQp0R7/L3nlZNacY03B14ktzh7vqfXPFucp74mkTcvXw6puKSIFtagBtskBdfrvaeGO8VAXnEl6QXnEKh/AKv3iBy3Cjubdux/fkG1CF8oL9VztFcij754mBXKLLC41WeRWvsC79QIEGjbKX3oiheTWvdC0osukNYWwahEg0JRiZB7cvZ6nH2p4p7tEAiJxP6I58D516efrle8kOR5r5dIrta4Sy8VNU5Ah2ISza1aK60tug5mI76hGEpJ1FUlPac1E9Hx7ktWEKUCGUXC9PKrpQ3CONRge/Y8saQPmYxh3DPPS40d+2Yr0xjdrT4LwgVSa1u5buK2IK1JhjqlZjYnDZiIpL8GOh1UfwupVc+S+0HL9kmuq3H3OhBnrKBaUpM9pVVAFmq8FhC52wJY/S2esi6Am+knOeaTvGixT2rp5aQXnkeg4eFMWvZUGAcNUEMdxH73JogPEb/2U4y+5AcMv/4WKaxccjEjr/jp2INjOCPY52he9TpN2oWXvgT27IF77oNAwFPAWnE1Izd8h9DO3xG/8kOQTkpTzVScdM0mrK4D5P3yFTMbGoanHSUlite+Wpz6J7fBW98O7/+QZnDQOGmnFSuuFBGAijWSNrTgXBGn8B+swZhEvryV4Uzj2uSICE4Md4nR4yYJHr5PajE6D0iUBIlc+I6C6zUcVjqdUZiTjZKi/AZSU+KhPZU1q3O//J5XDrFiEQyID0j0zVdt9LFCEnXCq2sa7Ze+Y+G8HAfNj6CFSNnPE6MqFM3UFYGWVMxxBlQmVTMYzkQIZXMXAiFJ9/IpqpEMA2WRrjlbepoVVmcifbPCsiZ9LkuT7xJQiuTGl0sNT/seqYfR6Yn7AYgUSjQtUuilu3k1VJEirK5DBBsekhV0P7Ij3zhnLOIo6vxKiVbotCdIsjgjzJLc+EqJ6PQ14pZ4DrdSXpqlzji63qSNHV86Ba6Wz1SWCFT4KoSF1SSu/CDpRRdJDVLFaonehKKkV1zjpa0GUViSdlW7UeTQw/kSVcpMnGfwR0tkaJ7DrVKjY6O2uTMQH8QtWkjaS2mVJtV4kVwv1StWgluxltTyq+Sr1JydcXRFyl+cSR2IiPJlzdljv7tfzxMtFmGF0iXZc1opryH1KGqoA3fJpSLOEM6XmjTkutD5laIWql3ARQXC0rNvgYjrpKvWiTpm7nUHmXRXWXBR4oTkzkEoJhEikAbqsVJJ26vdKM7kgnPRxYskwhnKH5PS5lbaJC54C1Zfo/dZ4qC5pctkMaByHW7NJlLLryZlX59NG57sWKQTkvJsBbGanwQVkLq2cD6kEwTrH5Dt/Gj/2KOIGmrHat8rzcHXPn/MvlVyKHP/USNdOe/LnqM6UiA1lCB1d+FCTxlxFs87peSz00mszv0iuDPaKy1LJsGtPpv00itEHTQ5MQLlRgq9ViKSpqgLaydEpK3hTtzSZdJ0PNdpjJWKoE5yWJxGxMHyawEnfFbZMkmHBAjlkbj6I7LQMB2e4+eWrchca1NxxjtoVutOYj9/iTTFy68gcs8X0Ciit32E8L1fIqNAZThj0Frzuz+4/Mv7NHkxePlL4I474XnPgedcN3Zbd/FFDL/mZlIbX8HIy36ELlxAoGUHwd234FasYfh1vwdlEb7/awT2335qvpDhlPCSF1l8/jOKyy+FoSFIpeCd/6JpbTNO2mmD51zoSKEnAS+kazeRXnaF1Ou4aempo5Q4RMGYGOeegAeAW7aKdM0mUuteSPKc10gRP0gamS+4kFcOwRippZdnDV2Q+prEsBj/nuwz4DUMliJ18BTzFpwntWpuWgzk0T5RR8wMJJXZ3uo6JIaXCpCuPScbkckRCdEF0t8tveQy0oslHVANthNo3z3RWPcMKrdiXaZeRL6Yl0mQYyRpFZB0vXAeVm/DhOibjhbNYlFUeUX+4whG5JgVLSS98lli+EZLSS+/apwTlLsrJXUopcvEuK/dJE5OIORJul8y6XuyP3tzkRyVVgheVMlq2irGOSLMktrwIhKXvU9SsfxzACCdzKbEwcQUR4Wcf5ECfNlxH6ttN4HDm7E6HYJHHpRhnP9G3NLlhJ78OVbzE4w3lHXpMqmtyjXWPec1U+vjJrN/C4TFcB8XAdF5pdnG6GNeL/OaHAPRYtILzgFPwVMiNWEm4NUOjt9XdqcuaqhLUgF9R1tZUle45rkih4/nJCpLGpAXL5JzfKQbEgOkl15GevnVmV36QhLESkme/bIJ54ca6SZ46O5M9M+tWDPGSU+veIa8Fs6X6EmkAJ1fKZEqf26tQEaaHUD777eCEC2SdFvIOG9u9QZ02QpZgKm0Rdwi3p9xHnWkyLtX5CwWaLwFEC1ObDgv4/BJ7zURBNGxkrH3MW9RIrXhJSQveffk855OYnl93qzOg5MfmvJVmQbwyQ0vEdXSsuUTz2NvEccdf4xDUVKrny392BacS2rxxaT9yOk4VGoENdKNLls++blStGCMAJNbuXbCeeuWr5LFIGWNORettt1er8dFmX5xOlI06cKOu+BcdMnS7DjTSQJ192TaSGS+stduwyd46C5R96xcOzb7YRLOXM9Da4I7f0/st6/3+rJsJP78rzHy0h8Q++u/QnyA0Rv+a+qUA8PTkr4+zQc/ornpO3Lo/+Vdir/cCi99ieJtb7Uk9WYcunQ5WEHCj/w3uqCS5LoXEnn4vwg98E1JhQJS614oxlwqQWjLj3LqPQxPZ5RS/L+PK/7fx6GhAZpb4Kb/Mg7aacPhByUKFivFLVshdRsgxqSfAhYI4ZZ4qW9e/ycRm8g+Xt3as9GFVYASI3CS4nCllBhd0aJxzx0/DW7RuAgOskKcI56B64lY2M8jveIZULwom6qDGM4Zhb1ACIJRrPbdUjvmGyrBmBjUMih5f65ToCxJeex0Jp8zyzNmC2s9uXF3TO8tAAprSK1/kdTQRArHOicg0aGZ7pHKGlPfNGFeCqq8lMAQ6SUXT78vH3+urJBESRODKO1KhGAKtBXMOiPphBiqflSodBnpmrMlCnfkwYxhrUb7M5L2Opw3VuUtGJmkx6pCB/0eVgqdM5e6oFrUCWvOkrokgEhhtrardDkTHLS8cmmi3FOf/QR3rBGaW4s1Jal4JoI0hmjxmPfr0qWTp7flYgVEfOPgnZP+WceKcT0RnEyanbLQpcskTdFLwfVl/5PrXySiLVXr5dxW2TTL7GeGvKbO5MjP53xmfqV8j+SoNCPurpNG5/7fC6txazdK6mjOdZheevkYRzDTM6ygWmrsMp8fJL3m2Zmfx6CsTLpc4Ohj4vQB5JWJY5X7PYJe/Zh2IVIkrSYyf/PEjVJx1HA3qZzFBp0nIkFYgcw5O57EJe8i5YufTWcP50bgR3ukgfX4CFqmbm2sI5xa+3xJnS5aJNd96VJJ1Z2MdEqaiwOu15NxzEd45zZ4qqpeQ+0xu6i0M2NNL7nU/wKSGptfgTXQ4jUIRxaQxtcHZj9twvdXybFRWLd4UWa8IAJD6cUXSb3bZAtMOZyZRVUjPUT/8QkCRx+BYJT4Vf8mnrMKEGjcglu6nPizPjX5Ko/hacuvbnb5xa+guAgKC+Gdb4dLL4HLL1OEQjM76vHrPkf0bx8lcPQRRq/5dyKbv07owO2MvuCbuBW2rNIOtsuKnhVE9zVBOji1kWF4WhCNKp5znWLNKpd3v1cERP7yV5eBQXjNq87cNbLTjkB40oc92kUlhkRAwwpkemTqXAMqFSd45CFSy68WwyWvTBoq5+zGLVkqxt/4jA0vDU5HCrO1aFPhyz8XLyRVtMCTuc75lJwam4zi42CrqOxVrs18ni5aKD8mhiYaJ5mUybH3RB0tQY32ZhpVu15vtkDdvZLKWLkmawxZAVmwwjPex6MCGSNrSpQlwiNzxBiHxDeWA5HJN84lXJB1uKNF0IdEVa2AGMB55ehUIhNhkA8blogLiGiFm8rMx6RKwEpJVCQp6Ya6oDrjpOlosUQcA2HIzWbta8xEcXR+FaSaxu5ypHtslGySKEF6wbmTOIs5+/B7oM0RumghqUwq7VjcheejI0VyPvnHJ+MwyLNVF9aIaumyK1HpuCh/1t2LlRwmtW6iw6mSs1gIAEnbDcU853vcORcIiax7bm/c8QspPpGCKf82vgZNR4pQnhjKjM5yOoEO52ePR270ORUn0LoDHQiKbHxsoiM6LWOiijnX/HjfK1aCjktvRp1fKdEhNzU2Oj4+opbZrUWgZRtqtI/0gvMy18Jk5Dpu/j1mzK76W6QxOGTuY+PRJUugw1tgyp2rQAir5wipJRdnhEWATFp4Lqk1zxnrVFsBWRQbTzgfq30fae8+J0I3mvTyq9HFk4/P58xy0LQmcOB2Ind/TnKnixeRWns9qQ0vIYgi0PAw6TXPMX3OzjCOHHG59W/wuz9AQb70s3rB8+G//huWL4OzNswyihrOZ/Sfvk3o8R8QaN3F8D/fRWjLj4j9+tUQCBO/5uOkNtxA4pp/l+0f/TGhYBHJC95MRora8LRl+XKLv/5J85Ofab76DcmCuu9+l//8nKK83ETqT1sCYZFTB+l5VLJU5KutYNZgsoKkF54v8uULz598P0ph9TdNLML3Um3ckqVjUx8n3YeVdWyUmjpdDK+2Ijks4iWTRA8AiPeLQZFDJkVr3Gp6etnlqN6GbE1N5g1a9hMqydSpzIRKDE743IkbTV6DNifMFO3JJdd4S45g9dRnnV2fYHhshCJn8VdHCiX1zO9DNwmpdS8kuP1m8EURwnkZ485q3Yk10DLRiM+kASoZjyfskhn2sivGGszuRAdtuvMHpIGvW7Js2m2OCWvqZ6AfpUwvv5pA8xOZ19NLLpH+W7lEi7D2/z2TWijiDckJ54sOhDOLGtOjwAqRXvfCieMqWQrF06eqzQZdWIPrOe0g6qC+kIvVeUAc8SmdZV/hcrI/WdIoWbve9zgBs3+6x1RyVBRJa85CFy/OHK/cWlVdWIOeQjgttfxqUZ3Naeo8GZnMhanITemeCn+RKff8D0ZkoSpWgi5ZOub+Nmmka5bzaDU9MWYhI9D4ODpWKumrMyxwnDEOmtW+h/Adn8LqayJ59sukq3k4H5JxIrf9G4HmJxh9/tdP9TANJwmtNek0bH5A8+nPwfp1UFsD1z4T+vvFWbvx64q1a4/RcFYWyYveLhf+SA9W1wFGXvJDwg9/m8g/PkZ489dIXPBWUhtfDs/6BMn+PtRwF7HfvF7q1Uw07WlNIKB465sV52xy+fRnYc9euOGlmte+WvPmNyqiUeOozSvyytDWMTShVxYELE/Jrwj86JMVGKsa6JNrIFgB3LKVE7cJhnELqggc3kzaTaHLZZvxfZMy+wvM/rGuI0XoooVTrjSryQSOYiWkq9dPbtAX1JCOjXPCdBoiRWhr9tEuHYyhZjCA0rWbJkYz5gorKEbZTJejsiZEGERQZqZ0vpBI+oPUxs0GNw0j/Zn3+5Eft2xFJh0rF51flR2bn8aWy7hnTbp2UybyMGuUmjI17nhQfY0E2vdOGzHSRbWkinLSJydTRAXSa54rP1ieSuAkaapWXxMq3s+MMl5uakrZd4Bg/f3SuPpECOdLE/Ccz/SdAKvrgCzQTOWgeU2tJ1VSDYRE4CaVQHU4mejusZKuWieNxTOM8wajRSLM4qbH/i3X0cmvIJ1fASO9meigj9VzWOq9ctqCHB+zeIZmFsNlnKkV13iKnCFJc8yZn9TKZ87Yr2zajxrnhKXWPh9SCYIH7yC1cpKIWw5PbwdNa6zGxwk/+C0CHftJLbmMxNoXEqy/j9R5b0CH88j70XNIL7mM4df9YdoVLMPTi898XtPaCofrYdNGuPEbioRnh33la5r//R9FZeUJGMtePYkuqCb2f28ncfE7iV/zcSJ3forI5q8S2fw1WHoJoeXXkFp6mSwOhPJESMQKZJoaGp6enH+exe9u1tz0Hc1fboW77oE//UVz6cWaT/2HiaTOF9TKq0gPTG2YTYdbUI06lgUXKyirquNJJ7EG20kvv1xWdpk65SljAM2C2RiUWk1iyKUSqHRKGhmPZ3ykCLz2AYr0smO4pwXCktI3HVMJfgCzMtKmQym5B8+gwJtafd3YzwoEJVrj9X6bcvcjPeOM3VlgBbIRpjHKcyWTO+uQFaqYDdHijNN4qtAlS0jNFCU+VlQQq+uQOLTj0gvTiy6Y3RyFYhOjoh5Wb8PUqXvj0LNJmfXHtiRbKzbjtWoFcBecm2ksPSmBEOnKtcetq2D1N4ts/xT4Pcam/PxcYiUTFiasviZU70OkV1+HeyIO2lTppbn4c+Aft9x7SSiG0jku5olG6ZU15rqyOg+gA2FSSy+bcUH+aemgqZ4jBPf8idCO38hNMBghufYFkFdK6vw3oCvXEDjyAKn1L2LkVb+evK7A8LRj/wHNL3+lWbYM7t8MF14AP/we7NytuPMuzX33w+c+o/iPT8yRgRzOJ3H1R0mtfQGROz+Fzqtg9NW/RvUcIfzANwk1PkbAChPe/A25edacJc1KS5fjVq0lUHc/Kfu5ZuHgaUo0qvi3Dylu+Cdx1LZtB2c/DA25fONGeMH1cO45xlk7XdH5VROK4SdsEyueXGRhzEZiKuiCmrlNg56FoaZLl5EebyzpNFbnfqk1ixZN+r5c0osvgoI8GJm9MJIa7kKNU0M7NXhzNKUYyTgTKp0SNcsZ5lbnV6DHp4LOQMp+HnR5jX5nEQHRBdJ7j8mc7PmKFTz+FLwpnCQdzhMHdrL9hmKzN8CnuPbcogWo3qMzvj218pnHFvHN+TyrcYuIX8xQg6pLl05e0wngte/Qx3sPSY7MWDMFUks3Ucp/FnipuK6nxnm86GgJbsH0DaAzHznJa27Vhtk5ebMdT145bk6Gghpokab2uDPW2Z7+Dlo6idV9GKt9D9bRx6TXjJe77paKzOfw2+8G18Vq30P0D/+M1b6XxBUfADDO2dMcrTX/+SXNK18Bt94Gmx+Uf8XF8JpXKZSCe+7R7D8In/iYmlSl8URxqzcw8prfSkS3Yx+Rv3+c5LmvJfSirzGaDhK+8zPS5LbSxmp6guCRBwk//gMAgofuxC1bDUqTvOjtY9S+DE8P1qxW3PQtxa9udvnBj+C5L4CiItiwDmprXL73v/Dxj0EoZJy10wmVGED1NU2afubjVthZBcApd+Tdk56qdL7p8IUuxoxHDH4V7xdxipkIhFDBKDB7B02aes8Dx0Ipr3n1LAkESdeeM+NmOq/8OLIkVFYNzprFmAIh0suvOnOeGVM5ULWbJMXxONL6fFJLL5/ScVTp5Fixlak4gUiMLl02bfRqdjtxsfqOigDHcThp6dVjewzpQFiadk/G8d6rVAA13DVzndl0u0gMYg22z5y2CpM79XMoPASiJJm7SJJefhW4KYL7/0GqYJK09xxODwctOUr44ZskGpaKo5IjssI20CKKeMEo6fLVIn1cJD0w4s/5TymCHemBVAJCUSJ3f57Umucw+sIbZ0iPMJzu3He/ZnhYYwXgiW3wd68F2Tmb4A2vU2zaqAmHFZ/7gsvSpfCp/1Dk5z+F9T/KAgVu2UqS57+J0LZfwuavE7z6YySe8XEpNLdC5N/7JdzylSQufx9uyWLUcA+B+gcJtDxBaNuv0OF83LJVpM5+Kekll01r/BlOL17zKouXvEjz9W9qjhyFX/wK/ud7EE/AlidgyWKXpUuHedlLpD9fNDp5TX1eHgSDZ2Ytm23bZcBvgGVAPfAKx3F6xm2zGPgZUAO4wPcdx7lxzgfjpmc2ypRixnQ8z0FTQx3TKuqdNALjFfTmHh0tRCVnJygyGW75CtTg5I1uj5lAeNYpbFjBWUUZjotoEersF8HAANoKzC6J001xwumepwHp6g3oqTJNTiQq5zNdyt1MYjZzgJ5l2vK0WCHSCy9grs4Hd8G5kBeB+DhXSFnHVZeYXnQhDHfO/lqbillGjN3ylTM2ip4TxqnBW41bIFJAavWzZ6xtU3qayejp6TlpDXsKCwsZmCrXPxUn9MTPRCFpoA3VU4dKDJFacikqNYrSGrd8FW5htSgwahc13E1w718I7biZ1IpnkLjmYzPmhT8lYz8NOJ3HX1hYSF9fH/G44sltmt/+Hs7aAH/+C/T1weLFcthf+Hy4/npoaFDc+jdJJ/vFT5S07DlFve4K+g8yPBLHrVpP7Levxy1eTLp6PSo+RKB9N4GGR9CRQtLLriBlX0+69hyCO3+P1X0Iq+cwgaOP4RYvkmasOkni0vd5PV30iT+QZuB0P2dOh7H39Lq87g2wahUkk1B/RARsAgGx/ae6Ob/qFfCed8/PaNv4uS8tLZ3Ti8+27a8A3Y7jfMm27Y8BpY7jfHTcNrVAreM4T9i2XQhsBV7kOM6e8ftLpVL6uM+V0T7USO/UKUezRWuCzm2kF188N4baHBDcdyvpxRfNeqX7mK+5dAISwycoFvD0w59Hq2U7Vl/jjPLrgQN3kF562dN+QVoNtEmvull+zzl9Boz2E2h+kvSKq2fe9mnGvHyWumn5N4fiNXOJ1bIdHc7HGuogveB8Siurp3wGzrsIWnDfrbhFC3DLVxHe+hPSpcsI1j9AcN+tALilS1GJQRJXfJB05VqUm8r2n0gOQzqB6m0g7xcvI730UuJXfYS0r5Rimk6fNjj7NV/+qibtAlokyTXZmu1Rr11QPN5HTw+AJhiU6MHCBXDppVLDs3SJIpWCsjLFu9/r0nBU8+xnwVe/qAgETu35oBaeizswAFoTv+IDBBq3EDy8Gau7juG33k6gfjPh+79BoHErVucBkpteRaD7oCw4rPgUwZ2/l0WLrgOE9t1KaOcfSFevx+qpZ+TVvxFHrm0XyUveTeDw/RCIkF5yMYFD9+CWLR/b4NYw7ygtsfjG1zS//4Pm7nvh5S+Fd72jiHvv6+e+++HlL4PKSnjVa+HnP4GODvjSV+GqKxWPPuay/wC88uWKri6orT1j7n03ANd4P/8UuBcY46A5jtMCtHg/D9i2vRdYCExw0E4Ea6AVq+sgqRN10LweWPoEUrTmmnTVenS4cOYNj5dAGGLz08CaD7iV62ZuucDEtLSnK1bXQVHfOxWOaLTojHTO5i2TKZbOI/w2KqrDAT29zP4piaBZnftRQ52QjqOSo6ihDiLxbpLdjaQXXoAORog8fBOJy96HDkax+o6i88pJrbx2QpM91V1H8MjDBI48QODIw4y++HukF190UtNB5uUqwjFwssff3q6JRqUZ9F9v01x4vvz8vz+Et71VGvn+6ma46go40gCH6uCZz4C774aRUbjkIrjlT5BIQFeX9C5bvBiWLYW3vFlRXw+/ullzpAG6u+Gtb1a88fWKAwc1y5fNn/SvmeZdDXVgNW9DDXei4gPyACpaiM4rQ8fKiP3mtVjddZAcRZcsxs0rR6WTMNqHNdCCjpWRrlhD6pzXwFAH5JWTXnE1oUf+h/Tiiydt8jhXY5/PnI5j7+nVtLXBhRcU8Za39RGPw9lnwVpb+vadf57Fgw+5/PDHMDwC3V3yP0AwCO9+h+IVL1f86wdd3vZWxepV8Po3a374PUVh4cm7Hk5CBK3XcZySnN97HMeZUmXHtu1lwP3AWY7jTFClOJEIWqDhYdRw98xNZmfBsUas5hun4zU3HzHzODeYeZwbzDyeONM9A0+Og5Ycweo94n8kocf/F6urTgooVAAdKyVYXEM8fwHJTa8Smc50wsvPVNL1OzFIsO4+1GAbVk89OlpM4uqPEHr0uwTadpNefDGplc+Ysp/LU8npfpKe6Pi11gwOQn4+jIzArt1w8UWKvfs023fAq16h+NXNmqEhzdveavGFL7qsWwff+FZ2HzU18LznQCwmdTdKyemxbi089znw2OOw+QEoKJDam3M3wSUXw+9vscjLc4lGoLQMPvIhi4YGzb79sGSxNJqOROaHQzaeOTlvtEYNd2J1H0b1N6EGWsEKkjz39YTv/yqB1u2QSmB1HZDc7HCeNLyMlaELqnELqkme/VJ0pIhA605JER7ulutVeStRyhKxABVA55VBrJSCQIrB9LwLwM+K0/l6LSwspKGhn23bYecuzc7d8KXPKwYG4VOf0VRVQUUFrLUV//QCiUS3tIgTV1WlGB7SLFyoCIc1+w8o1qw+tgULrTVag2Ud3zU1Fw6abdt3IvVj4/kE8NPZOmi2bRcA9wFfcBznlsm2cV1Xu+6sys0noOsegKFOqRs6QfTO/4O1z0E9VY2Zn2ICgQDp9MS+aYZjw8zj3GDmcW4w83jiBKd5AJ8UB81q30v0/96NXzXh1mxk9J++TejR74pYAmChGL30PaQ2voLYr16J6mtEedsPv+4WcFNE7vosOr9CZMir15NeevlcDO+Emc8G3w9/LMbFW99s8Z9fdrn4QsW1z1R88N9c3vV2xYoV8M5/Udz4DU1PL3znfzT/+TmLbds1Dz+iedc7LP5+u2ZoEF76EsX3fuCyZpXiGdco3v8hl7e+WXHWBrjmWs0ff69IJOHr39R89UsW73u/y/adEA55/VsDspqvgO98W5y5z34Bvv8/igce1Hzl65K6aFlQXgYLFkBtLTznOsWFFyh6ejTFxWONw/k89zNxMseueo9iNW4h0LYTq7cBNdiOGulGJYYAhUpJuEVbQSna0/5N159rDSpA4qoPkzz/TRRs+R6DF7zjpIx9rnk6njPDw5o9eyXNsaNTFkte+mLF7/6g+eutmoFBGBqCd75d8eIbFC97pUtnF4RCcn3+4meSCvm+D4gDprU0b//GVy1++GOXn/3CSzPW8J53K171ilPnoE2HbdsOcI3jOC1erdm9juNMaC5m23YI+CvwD8dxvjHV/k4kgqa667C6D89JT8PgvlulmeppWkt0Ol9z8wkzj3ODmce5wczjiXPqI2iz4HQ+0PN57H19YnCVlCiaWzT5eVBcrNjnaBYvkojV7j0x1q0dYXQUdu6GSy9WtLZqjjbChRcoDtVpkklZlT9wQFNYBDXVioYGTUUF5OUpUik9YSW+v18Tj0M6nf2X8prML/K6GxxthJUrFENDYkQWFsiYZrtCP5/nfibm1djdNCQGUelEVkVJewWAWgoAdTgv05NtXo39GDFjh/4BTSIByYQIkCxYINdnW1tGcJRoFCoq5NocHZVgasCS18PheeugfRXoyhEJKXMc5yPjtlFIfVq34zjvn25/JyQSMocE990qfZRO0wja6XzNzSfMPM4NZh7nBjOPJ45x0J5iTuexw+k9fjP2U4MZ+6nhdB47nBQHrRz4LbAEaABe7jhOt23bC4AfOI5zvW3bVwCbgZ2QaZfzccdxbhu/v/nioJ3unO7n7XzBzOPcYOZxbjDzeOJM9ww8PYtIDAaDwWAYh+M4XcCEnELHcZqB672fH+BMaA5lMBgMhtOW+dksx2AwGAwGg8FgMBjOQIyDZjAYDAaDwWAwGAzzhGlr0AwGg8FgMBgMBoPBcPIwETSDwWAwGAwGg8FgmCcYB81gMBgMBoPBYDAY5gnGQTMYDAaDwWAwGAyGecIpk9m3bbsM+A2wDKgHXuE4Ts+4bRYDPwNqkH4133cc58aTO9KJzGbs3nY/Al4AtDuOc9bJHOMkY3kucCMQQPoBfWnc35X39+uBYeBNjuM8cdIHOgmzGPta4MfAecAnHMf52skf5dTMYvyvBT7q/ToIvMtxnO0nd5STM4ux3wB8Drk+U8D7PRnzU85MY8/Z7kLgEeCVjuP8/iQOcUpmMe/XAH8CDnsv3eI4zmdP6iCnYDbz7o3/W0AI6HQc5+qTOcbZMNvz50xnquf0dM9J27b/HXgrkAbe5zjOP07B0Ocltm0HgC1Ak+M4LzDzeOzYtl0C/AA4C9DAWwAHM4/HhG3bHwD+GZnDncCbgTzMPJ4UTmUE7WPAXY7jrAbu8n4fTwr4kOM464BLgH+xbXv9SRzjVMxm7AA/AZ57sgY1Fd4N/zvA84D1wKsnmcfnAau9f28H/uekDnIKZjn2buB9wLxyzGDW4z8MXO04zkbE2fn+yR3l5Mxy7HcBmxzHOQd5CP7gpA5yCmY5dn+7LwPz5kEy27EDmx3HOcf7N1+csxnH7hlP/w38k+M4G4CXn+xxzsQxHAPD1M/pSZ+T3t9eBWxAno//7c23QfhXYG/O72Yej50bgb87jrMW2ITMp5nHY8C27YWIXXWBF2AIIPNk5vEkcSodtBuAn3o//xR40fgNHMdp8aM4juMMIBfZwpM1wGmYcewAjuPcjzgPp5qLgIOO49Q5jpMAbka+Qy43AD9zHEc7jvMIUGLbdu3JHugkzDh2x3HaHcd5HEieigHOwGzG/1BOBPYRYNFJHuNUzGbsg47j+FKw+chK23xgNuc8wHuBPwDtJ3NwMzDbsc9HZjP21yARvwaQ6/ckj3E2nM7H4KQyzXN6qufkDcDNjuPEHcc5DBxE5vuMx7btRcDzGbvQZebxGLBtuwi4CvghgOM4CcdxejHzeDwEgZht20EkctaMmceTxql00Kodx2kBucEDVdNtbNv2MuBc4NGnfmgzckxjnwcsBI7m/N7IREd3NtucCubruGbLsY7/rcDfntIRzZ5Zjd227Rfbtr0PuBWJos0HZhy7t0L4YuC7J3Fcs2G258yltm1vt237b7Ztbzg5Q5uR2Yx9DVBq2/a9tm1vtW37DSdtdLPndL/vnBLGPaenek6auZ2abwEfQVJFfcw8HhsrgA7gx7ZtP2nb9g9s287HzOMx4ThOE5KV1AC0AH2O49yOmceTxlNag2bb9p1IXvp4PnGM+ylAVrnf7zhO/1yMbRafOSdjnyeoSV4bH+mYzTangvk6rtky6/Hbtv0MxEG74ikd0eyZ1dgdx/kj8Efbtq9CUjSf9VQPbBbMZuzfAj7qOE7atu2nfkSzZzZjfwJY6jjOoG3b1wP/h6Qnn2pmM/YgcD5wLRADHrZt+xHHcfY/1YM7Bk73+85JZ/xzepprysztJNi27derb/VqNGfCzOPkBJF69Pc6jvOobds3MnUZCph5nBTbtkuRqNhyoBf4nW3br5vmLWYe55in1EFzHGdKQ8227Tbbtmsdx2nxUukmTXOxbTuE3PR/6TjOLU/RUCcwF2OfRzQCi3N+X4SEqo91m1PBfB3XbJnV+G3b3oiktTzPcZyukzS2mTimuXcc537btlfatl3hOE7nUz666ZnN2C8AbvYMyQrgetu2U47j/N9JGeHUzDj23IUqx3Fus237v0+jeW9EhEGGgCHbtu9H6kTmk4N2ut93TipTPKenek6auZ2cy4F/8hZcokCRbdu/wMzjsdIINDqO42db/R5x0Mw8HhvPAg47jtMBYNv2LcBlmHk8aZzKFMc/A2/0fn4jokg2Bk9Z8IfAXsdxvnESxzYTM459nvE4sNq27eW2bYeRQs4/j9vmz8AbbNtWtm1fgoSzW072QCdhNmOfz8w4ftu2lwC3AK+fZ1GE2Yx9lXedYtv2eUAYmA8O5oxjdxxnueM4yxzHWYY8xN89D5wzmN281+TM+0XIvfy0mHfkfnmlbdtB27bzgIsZK4owHzjd7zsnjWme01M9J/8MvMq27Yht28uRyO9jJ2u88xXHcf7dcZxF3v3oVcDdjuO8DjOPx4TjOK3AUTsbwr0W2IOZx2OlAbjEtu087xq/FrlPm3k8SZxKB+1LwHW2bR8ArvN+x7btBbZt3+ZtcznweuCZtm1v8/5df2qGO4bZjB3btn8NPCw/2o22bb/1VAzWcZwU8B5EqW4v8FvHcXbbtv1O27bf6W12G1CHFHb+L/DuUzHW8cxm7J6x2gh8EPh/3lwXnbpRZ5nl3H8SKEdUj7bZtr3lFA13DLMc+0uBXbZtb0NU716ZIxpyypjl2Oclsxz7y5B53w58G3jV6TLvjuPsBf4O7EAe4D9wHGfXqRrzZEz1PU7tqOYtUz2nJ31OevP4W8Ro/jvwL47jpE/N0E8LzDweO+8Ffmnb9g7gHOA/MfN4THgRyN8j6fQ7EX/h+5h5PGkorU/5M91gMBgMBoPBYDAYDJzaCJrBYDAYDAaDwWAwGHIwDprBYDAYDAaDwWAwzBOMg2YwGAwGg8FgMBgM8wTjoBkMBoPBYDAYDAbDPME4aAaDwWAwGAwGg8EwTzAOmsFgMBgMBoPBYDDME4yDZjAYDAaDwWAwGAzzBOOgGQwzYNv2oG3b5ad6HAaDwWAwnGzMM9BgOPmYRtUGg8FgMBgMBoPBME8wETSDwWAwGAwGg8FgmCcET/UADIb5gm3bFnAT8EogBOwFrgQSQKXjOJ22ba8FfgasA24BqoDfOI7zE9u2fwJ0ARcB5wK/A/4DuBk4G/i14zjv9D7rBuALwFKgGfio4zj/d3K+qcFgMBgMYzHPQINh/mAiaAZDlmcjD5blQBnwfsAdt80vgT96f78LeNa4v78CeKu3j+cgD6g3AauAf7Jt+3Jvuz7gpUAx8BHgZ7Ztl83ptzEYDAaDYfaYZ6DBME8wETSDIUsSKAJsYKvjOI8A2LaN9/8y5CHzVcdxUsgD5d/H7ePXjuPs97bfDNQ7jnMw5/eNwIOO49yb854/2bZ9CNgE3PPUfDWDwWAwGKbFPAMNhnmCiaAZDB6O49wFfB/4CdBi2/Znxm1SA7R5DyafxnHbtOf8PAJ0jPs9H8C27Sts237Itu1u27Z7kfQPs3poMBgMhlOCeQYaDPMH46AZDDk4jvN1x3HOAi4D3mDb9nU5f24Fqm3bzo08LzrOj/o58D2g2nGcEmAnoI5zXwaDwWAwnDDmGWgwzA9MiqPB4GHb9gWABrYBA0Da+weA4zj1tm0fBD5k2/Y3kELqVcf5cYVIMXXatu1XA2edwNANBoPBYDghzDPQYJg/mAiawZClGPgpUry8E/it4zh3j9vmtcDLgG7gOuA+IH4cn/VeJJWkC1HJevg4x2wwGAwGw1xgnoEGwzzBNKo2GE4A27b3A//sOM79p3osBoPBYDCcTMwz0GB4ajApjgbDMWDb9qVIz5Ym4G1ImsZjp3RQBoPBYDCcBMwz0GA4ORgHzWA4NhYDvwVKAQd4qeM4o6d2SAaDwWAwnBTMM9BgOAmYFEeDwWAwGAwGg8FgmCcYkRCDwWAwGAwGg8FgmCcYB81gMBgMBoPBYDAY5gnT1qD19PQ8LfMf8/LyGB4ePtXDOKmY73xmYL7zmcHT5TuXlpbO68a08XhcPx3m+VTzdDlfTzVmHucGM49zg5nHE2e6Z+AZGUELBAKneggnHfOdzwzMdz4zOBO/86nAzPPcYOZxbjDzODeYeZwbzDw+tZyRDprBYDAYDAaDwWAwzEeMg2YwGAwGg8FgMBgM8wTTB83wlKC15o674LHHNc3N8lpRESxfBpdcrNh4Nig1r8tPDAaDwWAwnMG0tmq6e2D9OmOvGE4uJoJmmFNaWjS792iUUjzxhGbpEsUrX6F41SsUl1+qGBiEn/1CtGcGBjSmD5/BYDAYDIb5yOF6aGo+1aMwnImYCJphTtBanLKdu6G9HTash499ZKL//0Kyq1D/+SWXZz1Lce0zTuZIDQaDwWAwGAyG+Ytx0AwnzPCw5rNf0LzqFfDsZ80+DeA/PqEIh+FwveboUbjqSpNCYDAYDAaDYX4Qi8Hg0KkeheFMxKQ4Gk6I1jbNu96rUQrsNcf23rw8RTCo6OmBL35F8+vfmJRHg8FgMBgM84OlS2CtfapHYTgTMRE0w3HT1KR57/s1z3wGvPudCsuaXQQsHtccPgytbdDRCR0dmosuhB/+WPOXW2H1KnHS8vMhP08cuZISqK2BBbVQUwPhsIm2GQxnOrZtPxe4EQgAP3Ac50vj/n4D8DnABVLA+x3HeWA27zUYDAYA0+7LcCowDprhuGhs1LzvA5oXPF/xljdN7ywlk5ont8EDD2q274T6w1BeDrW1UFkJlRWwfJmitkbz99uhoQGe9xyIJxSDg5qubs3BQ9DSAs0tMDICa9ZoNp4FGzcqLroAYjHjsBkMZxK2bQeA7wDXAY3A47Zt/9lxnD05m90F/NlxHG3b9kbgt8DaWb7XYDCc4fT2QUeHLA4bDCcT46AZjpmREc2/fmhm52yfo/nLXzV33g2lpXDl5fCutytsG0pLJnuf4nWv0fzbxzRbn4TPfwZCoYlZuF1dml27YccuzU9/pvncF+DSSzTPfpbi0ksgGDTOmsFwBnARcNBxnDoA27ZvBm4AMk6W4ziDOdvnA3q27zUYDIaqSigqPNWjMJyJGAfNcMzEYorPfRrWrZ34N601v/iV5r77obFJ0hL/61tQWqp45FHpgTY0pBkY0BQWTnSkCgoUX/8K/OkvU6cVlJcrrr4Krr5K3t/UrLn7Hvjv72m+eSO89CXwkhdBobmpGgxPZxYCR3N+bwQuHr+RbdsvBr4IVAHPP5b3GgyGM5v+fsnaKS8/1SMxnGkYB80wa1xX87FPaN7xNjWhaeMvfqUJBDT33gf7D8BLXgyveBnccRc88hhEo5rubnj4UfjLXzUtrfDKl0Nnh2bFCsVZZ0E4BNGoIi9P8epXSqTs+z90+eC/KiKRqaNiCxcoXv9aeN1rYMtWGcvNv4W3vCnO9c/V077XYDCctkx2YU9QGXIc54/AH23bvgqpR3vWbN9rWRaFZqXnhAkEAmYe5wAzj3PDsczjrt1Jens1mzaFp93u4KE0kTAsXnzmFKyZ8/GpxThohlljWYpXvhyWLJbfH9+iue9+zYrl8Ic/QmenRL3+7/fQ3KK46Tua0lJobobVqxXveJvi9js0pSWQF4M779KcswnKSuHVr9UMDoG9Rl6rrobnPhvO3iBS/LNBKcWFF8CFFyieeFLzwx8nufk3mve+By6/VP5uMBieNjQCi3N+XwRM2VLWcZz7bdteadt2xWzf67ouAwMDczTcM5fCwkIzj3OAmce54VjmcWBQMzIKAwPxabfTriaZhIGBM8fOMOfjiVNaWjrl34yDZpgVP/+lZq0N550L3/y2prxMU1EuErTf+S4sWADvfBucc46iuBhKShT/818Tb1TPvk7x7Osmvv7H38P+A5r6IyISsnMXFBXBn/6i+fOtUFaqefc7obJCzUoQ5LxzFVddmc8tfxzgq1/X/Hk1fOTDUFFx5tw8DYanOY8Dq23bXg40Aa8CXpO7gW3bq4BDnkjIeUAY6AJ6Z3qvwWA4c0inNYHA8dsHvb0QDInwmcEwFxgHzTAjd90jPcr+/SNw03/DrbfCpk1QUABbn4CPf0xx7TNOzPEJhxVnbVCctSH7WleXpq1N8/d/gOPAk0/Cc56t+eD7FbffqdmwDhYunPpzlRJn8IrL4b+/q3nDWzQf/Fd41rXGSTMYTnccx0nZtv0e4B+IVP6PHMfZbdv2O72/fxd4KfAG27aTwAjwSsdxNDDpe0/JFzEYDKecu++Fyy/V5OUdn31wtEnypletnNNhzSuGhjQdnbBsqbGhTgbGQTNMi7Nf8+Wvav7phXDb30V442tfhu98D+Jx+PH/KmpqnpqLtbxc8brXKF73Gqivd/ndLbD5AWg46lJTDStXKJJJUX38wmcVeXmTpzHm5Sk+/EHFlVdovvQVzeYHNP/2IUVBgbnJGAynM47j3AbcNu617+b8/GXgy7N9r8FgOHNJJCAv71SPYv6SSsHg4MzbGeaGiRrmBoNHV5c0orYUVJTD5z+jeOHzFZ/+PFxwHtz0rafOORvPsmUWH/6A4kU3wI6dcNc98D/f0xw4qHnxDeKcPfgQfOKTLiBqkuO5+CLFT3+sSKXhn98h7zUYDAaDwXBm0N6u+ds/Eqd6GKclSsEkptXTFq018fip+8LGQTNMyvCwy1vfoYmPwsteCq98ueL2O+FDH9G8+x2Kd7/TOun9xpRSvPH1Fl/8vCIYlN4kDUcVV1+lGBmBiy6Ed7xNxvTFr2juujs5YR9FhYrPf0bx4hcp/uV9mtv+dgbdbQwGg8FgOIPp7mESvdapWbYESkueqtGcXmgNodCpHsXJIx6H+x84dZ9vUhwNE0ilNO/7AKSS8LOfwKKFiu9+X3Pb3+HrX1GcfdapTQ28+CLFj74vxbhtbfDY4y6f/Ay88fWKl71Etnnj6xRV1QEGB6V+7i1vUpkCYKVEjXLdWvjkZzQ7d2s++K+KUMikPBoMBoPBYBBKS6G4+FSPYn6glKQ5nimEQhAJS4spyzr59qGJoBnGUFfn8unPad74Bvj9b0U18ROf1DzyGPzv/5x658yntlYRDCp27ITdexRf/4rirrs1b3yLZsdOzcKFirJSi9G49FYLBBTDw2OXzTaerfjx/yrq6+EDH9b09ZlomsFgmD8cqtMcbTT3JYNhrghMY/VOdqU1NsHefTPvNxyGsrLjHtZpQSAAkcipHsWJkU5renpmd0/VGs4+m1PinIFx0Aw5PPiQyxvfCo9vgfPOgcEBxbvfq1HA/9x08urNjoXnPVfx5jcqqqtgaAg2bgSlNK6raW5xqShXvP61Mu4Pf1Sz9YmxF2ZpqeLGbyiqq+Ed79Y0NBhjyGAwnBj1RzQtLSd+LykokJ6RBsPxkEqZ59l4VqyAa585+zy98jK5DmdiQQ3U1ky/zamsZ5oLRkdhePhUj+LEGBiALU/MbttEArZslQjaqcA4aAYAtu9w+czn4R1vg5t/oejoVLzjXzTnnANf+Jw6bunZk0V5ObzrHYodO+BLX4H//aHmxS8b4H++5zI0JBfXFz6nOO9caG7RtLdnL7hwWPH//l1x/fMU73yPROAMBoPheAkGwAqc+H4qK57+q/Kz5Ykn9YQsCMP03HMfdHebOctldBSONrqz3l4puQ5nIi8fkhPL3sdw/wOnj5O29QnN3n1jxxoKg3Waew2p9Oy3zctTlJdB2nuP6+qTuuhxmk+1YS7o7nb54pdhQS2ce46i4Si8+72al75Y8a/vUacsvHssKKW46krFz3+ieOtbFFu2SmrjfZvhla/RbNuuKS1RKKW451648+6J73/D6+T7/tvHNA88dHrcRA0Gw/xDMzdqZ3ffM/FeNRXDw5o77nr63re6uqG371SP4vRjZPRUj2B+0dUF+/fP3ko/0gBPbpt5u1RyZgGN08CUytDdA80tY18LBaG46NSMZ844hltkPK6prSGjT7B3nyx6nCyMSMgZzl13u9x9L6xeDd3d0Nau+fJX4UPvlybPpxuBgOKZ18AzroYDB/P4+S+HuOIyKCrSPPqYJhxWvPbVCq01ra2atnbYtDH7PZ/zbEVxMXz6s5r3vgee/7zTbw4MBsOpZWgI8vNPfD9XXpFdvZ2J+DxXDtda47pkxJqOhXRarKpIeK5HZTjTWLJEsWFDmIGBeOa1ydry+AyPwGwy3KxZ1Ge5evbX83ykfwDaO2DJkqf2c1pbNZWVx3evmInAMXg9qRTs2gMVFZpQSDE0NOfDmRbjoJ3B3HGXy+e+ADf8Ezz4ILz4RfCVr0m/swsvOL0dE6UU558XZM1qCRJv2675wx81u3ZrVq/SvOdd0Nah2L8fNm0c+95LLlZ842vwkY9penrgda85vefCYDCcXAryITgHctTHYszNV+elsVFjBdJ0d0NrKzzr2mPfR9yzpecibdRwZtPVpdm2Pck5m2b5hllGXFIpaG+fOiXZdwLd2WdXzjvy806OzP6efXBBHhQ9BdG6wgKw18xu2/x8xbIlOnPM1Ek2BU2K4xnKrt2ar30DXvIi+MftcP758Ps/wE3fPP2ds8k4Z5PiK1+0pL6uA978Nrj9Ds31z5Wo4T5n7F14/TrFf9+kuOWPmh/8yJ12hc1gMBhyCQTmJp1px0548OHZbRt8ipZbU6kTa9Y6PAJ9fZru7mPKLhqD76Ad9w4MBo+ubhgcnPsTqaEBOrtm3i4anbvP7O/XmejyycCypO3AU8E+J6ukfdklc5OBMBmplIh/zIaBAU04DJGI36JpbsbQ2ak5cGDm42YctDOQ0VHNd7+vecub4PY7ZDVh12747ncUq1c//ZyzXIqKFL/6ucWXviCF/K95g+bd79X8+S8TL5YlSxT/9W3FP26H//6uNk6awWCYkVRK09UtYgQnysUXwbOeKT/392fvP11deoKymP95c32f2rHzxJq1trRCV5d7TMX540l7K9inwy343vs0h+pOg4GeoUxm4Ux7Xs3SJEokp6/38z9jLlMcH30chk6iquLwMPT3PzX7PtroNREHNj84u8955NHZX2taa7q7NYNDcLh+4t8mIxCAQ4fJiBPNlYM2MgoDgzNvZxy0M4zD9ZqvfE3z2leLdGxZmVx0/32Torb26e2c5XLF5Raf/H8WX/uy/P7nv8IHPuzS3jE2/2BBrThpmx+Eb9440SgyGAwGn9Y2zT33ySrzsaY4aj0xUtXdDW1tspL76OPZ15/YBk3NY9+flweLFx7fuKcjLyY9nqZjeFiPcSAn40QMU3fce7u65u99+PLLYNnSmbd7qlUpXdcsKp4o/QOa+ByJrPjG/Vw6aCuXn9w2HJHI7ByLmejunnjul5dB1KvhKyudXb+1gUFJm54NbW2w9UnQ41JMd+7SbPYWoOJxzcFD2XHl5SnW2eKowdw5aBXlsHLFzNsZB+0MornF5R3v1pSWSC7xP24XefqbvqUoLTlznLNczjvX4g+/sfjsp2D/Afj5L+B3v3cZGclexdVViv+6UfHENvjaN81Dz2AwTE44JPVnSoni2bEwNDQxUtXWDjt3i4GQu7+82MTeTJYlxfvd3XMbRSsogNKS6bcZGISOzsn/tmQxVFScmKnhr4v5X+vJbU+tXHlnl6bu8PHtv6t7dlGNwsLj2v2s2bYd+ozq5ayY6nLZuxeSqRPffyqlGR7OGvpzRV7eUxtVVkoEO5q9no6WNTeLQFufhH3O2Ne6urP3kBXL577Wzd/f+Pnq7skKLCk1NlW8q0sibnOd4jgwAPVHZt7OOGhnCF1dLh/8MJx9FqxeA//275Lj+5Uvzv8eZyeDZz7D4k9/gH9+CzzwELzrvfDAg9nas4pyxU3fVGzfDjd9xzhpBoNhIq4Lg0MwNHjsK+V5eXDxhWNfW79Ocd21ikRirKE4PCKy3rkMDUm92hPbxLGbKxqbZt5fODS1QxoMzm41fDrGr3rPVRuDqRgZgcHjjBTs3AWOM/N2MNbga2/XPPLo3H2pYPD0SAk96Uxn7oybr2hUIh3nnzv9LpPJ6Se6rw8eeEiTTk8vEuK6mkRidgfNdTU7d8++nup4qT8CRzxnIh4//usil6pKqK4e+1o4BBVev7ktT8zuc8rLYPFif2zT22V5eVBTLf+PIectIyPQ0TH2PS0tZGrj5spBG43PTizGOGhnCFufSHHVlfCm18MvfgnXXAWf+7TKrAwYIBi0KC62UArO2gCf/DS84EWarU/IlVRaqvjW1yXd8Yc/Nk8+g8EwFt8+CIePr/9UMjk2+tXUNFHACMTGHJ92qKf85cSorp6599HwiKTKT0YyceKiKb4xI47ZU6+GNzg4N4bodNQfgd5eGBnJ1sYMDDIr0Qe/We7g4NQCLosWzl5o4VCdpr3dPNPG094Bh+qgb5p6qLZ2zb33y8/BKSJksRhUV8nP46No+w9k537PXrhv8+zGphScvWESh+MpwF9sCoWmjpQfC+0d2ehuPK7pH9CEQlJT9vtb5MKezfdKp7Nju/+B6aNSqZT8y8+HKy6bfJtoNEeQCIjFFOdsyo5lrhy06ipYvWrm7YyD9jQnHtf88McuzS0unZ3wnveLrPzHPqIIBo1zNhmf/ZTiQ+9X3Pxrech97BPw45+6NBx1qaxU3PgNxa23wS9/bR5oBoMhS3Gx/B8MzpzCdsddOmNog0TAntg2NuqRSkn0KhYb6+BMFUEKBaWOI88zzPsHTvweFbDEMLnjLk3bFEZ8NAKFkzhxiYSm4aikSVmetXE82QeZ0t+TdMttbjk54gvJlBi89Uey6n65BuJkDA3pTLPchx8VEZfJONIgTvPBgzNPWt1h2f54Ge9UDg7O36bp1VWwbNlYL2mqU7KoUOqhGhun3t/oiPxfXga2Pfk2gQDU1MjP41UcjzTI/INEcGaLUoqR0ZnPlxOlujrbOkBrWDGL2qljoadHFDCHhiEWlYhgWensFmBKSsZG7qebi+ERUdns7YPHtky+TSAAy5dl71FNTZrm5myj6rly0Hr7JHV9JoyD9jQmldJ84pOaJ56UE+vOu+GZz4APf1ChTnZDh9OIoiLFyAh86tPwxc8rvvNtxd9vh9e+Ab55o0tlBXzr64pf/0Zzy//Nz4eQwWA4+Yx6BsJMaUq+AZCbnlRQAM+4GqwcT2zpUsXVVyri8YnNcifUF2kx+EfjkE6J0fzoY4xxAo+HVDobienpmeL7AAOTRBmONsqYEgmd6WE229TP9nZNR4eMXeeoOPrG9FMZQYtGxCk+Xo7l8bpkseK8c9WsPy+Rk9qan5ddFBiPZYnB2tbGrMStjrc+anRUc/e9Y1/zo489PZqe3vn1jCwsJNMfdSpSKUmXG42Lc3L+eTPvd/GiqaPEg4NSEwjihI2OHvuc7NunuW9z9n0iaCE/d3Zl68TmmqYmaPYEidLuidc1Dg9rSop1xunz7we1NbLv1aukLmx0CmerpSW7sFVeNnXfufH4KeGJhPybbKGou1sWZ3z7uKpKxuJHOP3rOpnUx3UMfeKj0o9tJoyD9jTFdTVf/LKmqVluDt+8Mc4zroFPfsI4Z7MhL0/xtrcqSkthzWrFL3+quOGf4I9/gte+URMMwTe/qvjBjzR/+8f8egAZDIa54657Zi8YkfAdtCR0TpMK5NsGuQXp6TQcPDjWmD5Up3ns8cnVY8cb1Ln2RjI5d6u9ibgoRvb0TBzDlq2agQEtUYRJPi+ZnPjabB2r3PGnc97jf8+5qK/q7Z080lNQAMtnocR4orgu7HNc7r1PU1qiWL92duIIqZScE2VlIhgTj+sJjvjChRJhgNnN1fE6aKmU/xk5H+Idu67u6a+DY2F0dOJ3PB6ONMDtd4w9MXeNi2Y8vlWiOokEHDxExhGajIw6oytRmskoKICVKxSRMDj7RUY+F41EqKdbvOjsHrugEwrBJRdBNKrYuRN275n6vceLQlK1/VmPhKdOZc6lvX3q/mxbn5DWG21t8ntJidSkjYxomltlboqLpnZgdu3JznPdYag7PLO69o6dmqEh2Wa6Oa6qksUwP23YsuC8c0VMr6FBejmCCMqNP4bHQm2tiCfNhHHQnqYMD8sN49WvkJP42mcG+fR/GOfsWDjvXEVzC/z055pgUPHhD1j873fhda+G+KhGKc1/fg6+9W3No48ZJ81geDriulIrNFuKi8Ro3btv6nuCZSmuvnKsMT46CkebxhrTRYUisKFUVoIaoKR4Yg1a3WFNS4vmogugsjLrCJ1opMmX1U6lJhbiL1oo4ysshMqKSd7sbVpVZR1zemJff7YvUm4ELbPrObjlRiIiHDAeredWaGUqDhyE9nYx1rq7xUD306mmY+8+cRricVCW1N888WT27/G4pqFhZmM6ldL09GjCoYmiDbPFT13NNXx9M2PhAoks1dWduHO1/8DsGkHPRG0NXHbpWEWb8XVV+XlkIr4w+blw8JCmszP7nerrNUeOTP4dUymIRjTxhNQzjb9W/PM7dw5TqennTClxNgcH9Unr3z4yMruI1Z690D8w+d9G4xL58uu6BgakJq23T3H2WYq1tny3qdI9V60URxFEMXf7DhEymo629qxSo+/ITnb/iMc1q1Zl78tHjohDrTU4B7LR67U2XHXF9J85Hd09sHvvzNsZB+1pyH2bNSMjml274avfgEsvhq99Oc84Z8dBXkwuVt8osddY/NMLLbY8ofj6t+Cm78A73wGf+oxm/yw6wxsMhtOL8jIx6maD1uJY9PVnHaPJRBy01ty3eWwz64ICUWwMBLL36cpKxaaNilRKjUn56e2bmPIYDEq92M7dYrhbc/B0b23VlHsGWX+/pGnlGk6Hj8iqfjwu9XM7d2UH1T+QTQMKh6ePfGmteeJJzeho1psMh7N1fP53HY1rGpvmTiQkGoU1q8e+NjqqKSvTY8Z5x12ahobZ3d9jsawa3WwIhRQrVijCYTECZ9MbrbBAnPejjVknIVeU5tHH5Pin04BizDmVS91hUcy7+ipFLDq7VMipmOx41B2WpsCNTRMNbtc9NmGSyorJe37dcdfUQimTRUgDAfjH7clp6zPb2qGjXVNZPvU2DUezCwgAC2qnduoTCdixS34enKYlRa6J9sij8PAjU348g4MSiRL7ZOrtJqN/YPY1glWVshAD8lm5Tv/9m5Nj0rn98+eyS6cXFhoakjRsn1gMYlHNgNdLsbdv6u+USmWjvUe988p3cKcycUtLZFHLJ/c8yv2cvj6J+Pr7WbFCodTEKPDoKPT0inN8rAsPw8OaHTunWNAah3HQnmb89vear31D09UtYfUrLocv/aeJnB0vpaWK17xK0drKGAfsFS9T3PQtxfp18O2b4NJL4cMf0bS2GifNYHg6sXzZ1HU+4wmHvTSalBgyQ0Oa+x+ARx+TRTMff6V8bFqi5oEHxz7wd+/R3HW3Jhgce19JxDWJcUbp0qWKigoxWAYGxtayHQ/xuMh4+xE0Xyo/lbPKr12v7s1zDnKNjvZ2adZdXQXBoJrgUObiuhJByu0DF4tmBQB84394GPbt8z57kv3MVqLcp7d3Yu+5Iw3wxBNiRObS0zv5PtLpsQ7CFZcpli2d/dzXHxFjORaDTWfrmVsSaDkmA4NiUPoNy3MPd0kJFBV5ghR6amVI//y74y7NbX/TE5qfHwu5Dpo/lJJiTxkvMTG1bHAItk8hcDIZPb1yng0P6zHR6Usvnjot1F/UyHXi6o/Aobr0tA2ogwHYfxDuvm/qbZ55jWLN6uyk9/VPbXQXFsLgAIyOaLbvnD4qlkpptu/QpFLTp+MVFiqufYbXo+s4zI7oTOeZh2Vl1Sn9aL7PmtUBEglRIW04qrnrHnn9vs1k0gEnY2Age1/Jy5PrfHBQjvE+R6KuUymQ1h8Ze23G42OjndnXs5PS0wt/v13mtrAANp49+f2xqkrR05Md28iIZvUqqKkZu21bu7TTePhRiRYeC0pJZLlgFgqrxkF7GvG7P2h+9gvNhefDu94jqwaf+7Q64Qe1QVaHHx+n/BMMivNWWysP9Kuugg9/VM+JcprBYJgf7N4Lra0zb5dKaR7bosiLaXr6RCADpQkGxLDMjYD5hnFHh2aHZ7AlkxIFyTWAliz2UnrGGVPNrdKsOZemJp1ZwS8qyvZmmu3q+patmse3aDq7xhbE+8ZQLCYRulzVtBXLxdAoLZUem+XlY/c5MiLGTH19etpxBAKKlSsYs5A4MppNk/KN//z8rBre+N5oLS161hLlPnl5cNb6sa/FooCa2F9qsjVOrSVz4q+3ZftX3X6Hy/792cE9/Iie0Cfr4CHNGk9m+6IL4NxzpE7m7ntnXzuYSolTlkiIE7w0p2YuEICurqyqXSo18f39A6Kw6Uc9evqYsBAwHR0dmkOHXB57XOqNxjho3neI5WkqvHMiPm4+iwolYuyTTMr5NxWWJVHidHrsOT04NPU5HglnDeGhIXGG3bQmFFIT1BRzmU2659YnNEcbsx/c2CTG+mTiEwOD4kSEI/CsZ4yN5oxneFhS/hYvzp7rk5FKaR56WKKEk9HSomltmyLlMjm1CMd42jug3lP47OmRewDIebNtR4qjjXIvys0GKC+bWmTHUrBubXbRa8hrLxEIKpYsUVx0oThU/VO0Nth09kQlzPEmbjotiz2ZxS5P8MVNy/XyyGOTR4sHBjTr18m5CdIT7cDBiVHtFcuz525uHfFsiEbFNjeNqs8gEglZff3CZ0WFZsli+M/PGSn9ueL5z1O89tWKrq6xK9y1tYqf/EBx9VVw772yivbhj0ydcmEwGE4vRkbGpjJNhdbygB8eUYSC4lT090vE6dxzxha9+zZcU3M2LSovb2KKY2GhYulSxfCw8t4nb8yLQcE4Gf9EIpvWGE9kP2O2qY7hsKQW+YptvsGtvPd3dEpdc+6q/uEj4gQkErKinCu2oDW0tuX8PkkdmU8yqXnk0bGRnvhots7Of8/oaLaGZLx9FQ7PThktl1BoYi1fKiXffSrJ9Fza2rLRAn+MLW1i1Mq49YSoA0ja3/6DkjpWXS0Gu+tKZGFwXORuMnynuLJKzrG2dmn06xOPS9RmumN/9Kg/Rvl/dNRbVMghN+o7HmWJYb19x9h+VJD9vk1N2X2OFyHp6xubZmdZ2abDkyEpmHK8luU4ozt3Td0SYXQ0O5+plBjb/f1yvvkOuC+4AmOvy4GBsQsOzv6xc6HU2HN5ZHhsM/lcAgGZB+1KLV3vFEqIWmcdm8YmzcAkdVwDA5r6I5r9+yUNt6Bg8mtq1x6Zm8k4lh6NblqTnycfUFiYdbQtS6EQB8vVsihUVip/W7VysutKs/UJTUWFzK+f8hoKyfm/eJGmsVFTVqoYHJw8Kuq6muaWHKfI++Ljz/OREfl83/6trc06lv74J0vJHR2Va9dfUFmyRJGfL+e56+pMw+rubpe9+zRlpbNXkfRpaZVj46eNTodx0J4GPPqY9Jh55jPgAx+WG8tN31LEYsY5m2u++g3Ngw+NfS0cVnzw/RbvfIfM/T4HPvHJ6bvaGwyGpw+9vZrHHpeHvutq8vPl5xHPcHx8S7YJtdZyv66sEAU2n9FRMVhz0/Qe35J9LS+WjTANDEBnx9jV+pUrFC+4Xv6eW+8zG9EJyKqKjTdcfMl0Ny2ZVLmOUSQsRmlvnziNK3N7JOmcujOmz8IKBKS/Uq5zWlqWFQPwx5RK5jh943Y4Gs+mJs2Wnh6/91x2Z+GwjMevoZmsVqehwWXLEy6unmgcn7tJnGqfWGzqqFhXN9xxF9xzn0S8BgYnfq/JGByCzk4t86Pl3PHHkU5rRkezxv54R8JnstfGl6o98NDk6p0A/X1yHro6G9UaHtYcqtOZHMfKCqmVs9RE5zkQyEaSurs1W7aKQzFVHdzgkJwH9UfgwYezrz/rmdmIx3j8eY9Gcs5rJdedb9Q/+hiTpna6rhwTn/FRmvPOVSxZPPY422smHQaFBRJtbu8QMZfxo82tzwwGpQH1VKqajzwm4hUDg4rLL5PtjtXSKCrEi3rO/M7RuDgVIE6Tfxy11mw8O0hpKZSWato7dGYh69HH4ehRzeDg2LTuSEScoIHB7D0qEJDfm5tlXDt2aFYuB1dPjKgqJQtFvtT/+EWk3M8aGdY0NckGnZ2TO3xay73V2a/Zs1dTWalIJLL3vL4+TWUFVFdJ66WWluycNDbJwt2xth2orJBsg9lEMI2Ddppzy/9pPvt5za23ab55o5zA3/yaoqjIOGdPBZ/5pOLqq9SkhaEvuN7ixm9Isfcjj8KNNxkHzWA47dGaUGj6a3k0nn3glpdJvYllyQPcUpqCAnmQHzgoMtPBoKKmZmzEyHXF+Mk1zM49By48X4y24ZGsI+HX9fgNiwEOHdL88U/Z/flG32yK2LXWPL5VxrxwweTb5I2rmWhq0oTDmvw8EVFZuHDs2LX3nUZGNAcPpidEKXKxLEVhwVhHKZnIGnG+IVZYlHUCxzuS6XHRi5GRmTMZCgslxTA3tXJwEBbUTB19aGqW2rxDB8XQVkqcVN/g//kvNXff7aeJihLw+BTD6ioRX3DT8LznwqUXaw7Xy99mWtfzx5VOi9MyNDw23dOyJLo2OKgZHJR5mi6SppTM6QXnw+IlE/8+vlVCf78sGqRdqTFcskicWr8VgpsTSUskJS3V1RP388ijUgsEYrhXVEgUcLKSjMce1wSDEI1lz4n77pfFjl27mZBCmv1y4gTGYjkLC0ocWj8lb3hEJPVHRrJObkGB9MACOT/89+Vy1z2aAwez73FdUfwbnxq7d5/m1r9p+vvFOSkpmT56MjIi4iqrViiqqybfJhQSR/Yfd8i/yViyWGq5UinNwUNjt9FIOuZsag6HhrJR0Lb2bEQynYYdO1P09MD9m2HHjux7Fi2U+ciNbPb0amIxTf+AOLurvBTf4WEZUNpVFBUrli6Tz5ss0qiU4tKLx4oHFRZOFPFwXbn3PvKY/z4oG5d+vXcfHDio2evIOVJWJosetTWiPQDyXRuOiqOWn69Yu1Zer6zIpjgea3sKy5KekVP1lByz7bHt2jCf+L8/aX74I80bXw/f/o6cKN+5UVFVZZyzp4pIRJFMat78zxKOH8+mjYqbf6n41H/ArbfB7Xe6JpJmMJymPPxIksJCWbU/Ou56b/ZqPFIpDdpzGLQYBq4WY7OpRYwte41I30fCYizecZdm566xRmtenuKSi8emOLa0SP2S/8n+raSvX+qnfAMXpA7EX+E9dEhzuH5qh+iOu2R1+777RWY9V5LfdzTHO0B+ypKfKrRnn1d7EhfD88DBif2iYlExWFessFBKbNyp5K39VDmfru5sBMQfS09PtjZl/OJ/ScnYupcHHhInYDpCIV9xM7uzWEzmdirDa89eMX7LymVweTFYujg7xt7ebMQhndaUlmRX7594Umr82tolmlJRIcbajp3icMeiMj+JxNSNcOMJMSYL8iWKmkzKWHftzjqFSsn5FghAIChZHlNhWYoFtbB7N3S0M6Hn34TIg5JxVlfL/0cb5bi5aUnnbW3LOoy9vaISmUiM7fGltZzTvkCL68q1YdvyN9eVBteNjZpDdS59/fI9B/onOrvNLSJSMRlFhV7abotmQe3YOchduAiH5VwbHpFjNjgopSIgojEghvo+J9vfa9lSLzXV283O3RObtff0au65VzM8JC0COjuhrk7UB3PJHb3W4tgcOqwzaqCNTS4PP5LdqrJC5quoUPoUtuQ0qfabu4+OZhVWD9ePPcd9Jzc5zpmcjJbWbDpsZUV2/oNBRXOzm4kghcOy6AByfg4Myv6bW+Scf3wL/Okv8nf/Xgmy8FNRCamkqHoqxLGvqR6bJhmPax540GXb9myKY2GBLAD411vutsGAtEvw56Kzw0v79RYkWtvkHgPijFdVyjnQ05utOVu4QHrhJlPipPkqtW1tmoce1qxfq1lQO/Mc+oyOirNc3zA2TXcqjIN2mpJIyMrJG14P3/+BXIgf/ygZD9/w1BEKKb7wOcWiRZPPdUW54rprLVatgs//J3zyM1M3bTQYDPOXRx9L0d4uRsn4VJbdXo3HXXdrmprl+i4q8tLKEEO6uEiEAR7fKkZCV3c2Ra8vp7h/x05p+HzHXWMN87/fDr/4tRja6fTY+0goOHZMCxZCiVcDsmCB1M9YSu5XWusJYgL9A2IIDeWILOTFsgbYeGGS3h5Aw+CQ5k9/cenrk6iGm5ZUsLLSsZL1WkubgPXrFNVVYmo0t2iOTCJXHwjAxo2MqZleuGCsc9DVJfLUmVX/cbsZGhLD03Wz6eV9/dkomrNfs227/O2BhzSJhEtjk870OfIpKIC9Tnb1f3x05rprRdW3p1szPCxGtL+if6hOU1yUjb4oJXPq77+rG7Zty9ayNDVLul5zs9SxJZJ4jouetBGu/726u8WQjMXEkRgezk5HPK5pahJnIBCQyOJkzl5uhHXzg1KX1NoGh+qy2wQCEwUZkgnZtr5ejnso5DlorqQ9jsaz+66ukjEP9E9UJFy2FFYul/N6x06JZOzZK9u1tMCWrdDcLEIYfrQiEs2en4WFcv5XVih27FLccZeeIObgjz2dhqZm8Rp99cKi4ux24ZAsMOzcpdl/wJ9HuQZcV1RT9+3THG2UhZp4XLNyhaKyUmWc0cICiVzmLlKkU7JwUF0N62y5B/T2SR3ZZGJiOue4dHRkHY+2dlFF9dmzVzMaV6xZI6l2fn84Ee6Q453w6lAfeFCEUfwFhGRSFCIryydGxcejlJzLuYsVftuNVEoTyJH4j8WykdodO8VhPdKg2b0H9uyR+4OfRh0KZR1fNy0OoGWJQ3XwkJwXZaWSFuo3YY/H5TxPJrN1u6HQxJrNeFzzwENyDTv7s68HArK4E4lm6zX963bXbkk9LS+X+mFfXKetXRONiE0XDmfrzZQSx9xXU/WR9GKdGcd4ntwm3/uC83VmAWA6jIN2GvLkNk0gAP/+Ufjhj2UF4c1vhGufaQ7nyWLJYkVPr+ZfP+hO2bfmxm8o3vA62PwAfORjRjjEYDjdCIezimJT9d06eEiKvvPzJM0rEc9Gf9rbxYhdsliiPwMD/uqxpqExG0HzDd0Vy8euGl9+meIF10tE58ltkpajtcZS8p66w9lttc7WTvT3i5PoajEUurvFSRxPLCpOpW9krVunMyu749PiCrzak5FhEcdobpHPicVgyRIxhvfuyzbr1RoO1/tpWEmGh0VQwncA/AiGX380NJxd5e/u1jz6mKajM7uvjg5ZOfdXxcdH0HyBhrvukXsuwOHDWcGOxkYx+EdHNSMjMpd79sLVV46tfTtcL989YMlc79kjKXYHDsoH7t4jNYatbRJx6e2TGsNAQPrG9fRlRWUsS9HZPTbtragIrrk6+3nr1ynOP1+M+7wYoKXGyJ1kUS/XeQ6FPCXHgCdJ7m0eDsOiReKU+D2rJlNxzK17ctMSBR6vSDcyIv3pxsyzd84W5GfFJiKRsQIy/ju6uuGcjVBeMbbNglKKfY6mvFyEMPoHYM1qTSgoTnr/oEQaDh2W8+wvt7qEQnqCs+vs12x+QJNKSsT4wYfGjtV35ttzGhXX1ijOOSdIxIsqrlieXQhIJuVYRSNynPLzRXHQCkhEEuQc3uf4UXCd+V55+eKAlZZmz+OiIli/Tr5fw1HZT1GRnJOPPpZ7MCYeHzeddYyWLoFly8Q57OjQ1B2Gzi7Nk9uyiwH+sfT/v/AC6aHY2SkOjX9s9uyVfx1d8PjjsjA0HcNDOfep7mz0TWtob8tG+UZHs4tPq1eJI9/SCosXyhgvvEDSaEFTWCjNnkEWVvLzZX7rDsvrh7zrdv9+meuGBrkmI1HFlVeQSf1ctoyMSqjsS9QbtZZj6jeWDoez99WREXHeQI5zJCzza6+BhqOavLxsiqOlYP9BzT33usRiKhMtC4cVV1ymONqoaMsRQhoclF6RPT1jW4ZoLfdFX0znlj9O30LBx1j0pxl/+4fm4/8hKj7+Sbp2Lbz5jSZydrIpKYZXvUJNKScbDive+mZFVZUYRz/5mXHQDIbTifp6l+ERedBP5aCFQmJIDQ1L7Vk8AQtrZZV2ZETSkIqKNAsWSDPb4iJAKc4+Kyv1nUyKk7LUqwE62igr9r29YsD29YqD19wsxkd1tfy77JLsOHp7xZEDWVXeuUtWg9NpcaJyVf5AjMiRUb+2TV77yc/gnvvkl9yGtJBNN9Ra9u+nOvp915pbpK/V/oPZ9/iO7dIlFnl5ntOYljomv34uL08ifgcPiiMRj0udyp594Dji9HV0AkoiR76hPV5mPxyWVfcrL4eLL5LXBgbhoYez9932jmy9SmmJbL9339h0t2RS09UFl1ws39X/i6+o56vIpVKy/65OMWDjcTFWA4HsXKdS4nTkCnYVFMDWrRLV2LlL0r927xEHtyA/K57hOwRjj5n8X1QoTlFZOaxYJsdwn2d0+iv4ixeJMwDSr2kyRUY/mrJ7rziVfvpoR4dEa5NJMrVxPkVFchwrKsT5EHEQxki6Z6Nz8OR26OzQY5oDp1KaAwclDTUYFON+8wMQjUo0zRdqqD8Cba3iXB84MLbdRSQshn/alWhxc5PIweem+/kG9fBw1pDv69Ns356i2xM/qSiXyPNaW9KMQaKA/f1yvj3yGKCz57vvxJ57jkQB/fPQVyY8cDArOT88LM7Q4IDcH5qbZXEjmBORyp0vtDSs96NUNZ7c/8iw7Lu3V87fRFI+J5nwPst7f2ubOFxKwfYd0k/NsuR89B2CkuJsq4yBwYnpgePJrQOrKIdOLy0wEJD5KimRc7G7BxobJT3V8sQ8hodFwKOkRI7fw49IZLy7R77L0UY5z3p6NVZAXuvpkftVMCiLMIGABCRGR6Wu8p775P5Rf0SzY4dcl01NEpW2LHGqLMu7L/vKjfGsOm0uQ0Pyt1hMti8uygrw7NotoiFBL/Imr8n7Gho0d92jGR4aW5+cSGqvJnVctkK/3Be1lvTZwSFRupwJ46CdRtxxl+bGb2s+/lH4+P+T1Mbycvj0f4wtcjacHJRSXHqJorsb/v3/uZOmkSil+OkP5cH719ugqcmlq8s4agbD6UA0qijyC9KncNCqKrP6ARox+q2gGFH+iqmzX1ZVU2kxBPJi0tjVdWUVNxoVw/Ge+8Ro2OdkGxHvc8TQWb4MKiqkr2U0At29Y9PRCgplHMVFsPEsOO9cTX+/pH0lEtnVZJ+HH5G0wZEcB62wMNtg1nf2fPLzxWDc8kT2tcoK6O3XDAyKsVqb27dJSzRCKSgpsaRWKigGfiSSNVBSKTFgLrlYDPA//kkTCmoWLZSoWFNT9rMKCySNDsamJbquZmhIVOSSmXnXxBN49Usi5qBUVsxiZFRSq/wIG4hj0tom2x05IvuEsSvw112rOFQnRmYs4rdX8Pps1Yvj56eHWp5x6juAlRUSHdi9Vz6julIM0oaj0NQox7CoSI1pmZCLb2R3dGYdAcvyargicP9mlwcfkmO4/4B8hm8ajHe4tZbor3+806lsCtrOXV6j5NTEht2uK+f5wUPiNOTny5wfPgwpP+rn/VdTk21lkLuQGfDqgxYvlvEnk5LWWH9Eoj0BJdtcdgmsXw/XXC3GelmZRKj88adSstDR169YvFjmt7tHc/e94ij4kcN4HP6cU/9UXR0gmYBt26SPW3u7XGd+lou92k8P9uq4EhIdqqvTmfkUlU+dOZ+qK+X6WVCT4+iNyrkdColwhu/w19b6xzPXqZWfk0nN0iVyPHfvkdcGhsR58YlF5Tpw9ss1Uekt1u/ZqzJO7IgnKhSNSZp1pkayTxydpiYZ80yWYzic3SaZhOVL/TnVhMPi+MTjch8bGoLND4JzIHt9NhyVe2Jjk9znmpplYarNm/Mnt0sf2ZZmKC6BA4fkO/njbWqSRYJwRBOwJHq2azfs369JpuTzt+8QRzOVgpZWTVGRwlLeuerVOwaDYwOVV10BG9Yr7DUyjl27obhYUVAgtZSJBNx7n4uzH/LyFZrsAlosT+53LS3y/UCu8S1bZTEuEh7bCNyv69UaSkoU69fCjilEiHIxDtppQjKpufk3ms99Bq68wuK8c+Gvt8I3vqKIxcxhPJWUlMBzrlMTajZ8YjGLH/2v3Lze/m549/umbiBpMBjmD74abmFh1nhLp6WY3ae+YWxa4tCQGBx9Xj1OXp5EM+64Sx7QnV2e0etFHvLyxIguLAJ7tUYpTSwqxmhxsWLNakVhoeLwYSle11oMk6qKbC0GSAShvR1KSjR/v10cvIN1YnhM5lym01khhIxEe0oMu+HhbEqfTzwuTs2ll8iKfNxLYdq7B6qrNK2tYozW1cnKvUYMpsEBOHgoxfCwNKetqpL5Ki8T46m93RvrQTGMmlukLqutbWz9UyIhKWK1nspkbsrckYZsdOWRx0Qp8+Ah6aUWjYjRtmqlZuPZYxvkFhaJGlsiIelRqZQYgytXStZDc7NESHp6slGRhx/R1NSIgR5PIE2tk+KAJBJyfP1UU8sSee5kUpzIlSvg2msUF5wHylKUlUu9TUW5OK77HDh61GVkdPJeWb6DFgzKol8spli9WpykWAySaZnzkhKZu+5ucUi1q8c4tD5lpTIf9hpYs8ZLlQT27ZfayuERcZRyBSb8ebAszaOPydxYlkR2sv3fvONyxG9KrOjvl5TEeFycp0N1sHevbFtcLN+/uAguv1TOh6NHxSlpa4O//UOcnFBI0ucKCvAiqhKFTMRloeHAIS+yWKqxLJVx7l1XHITeXolgtLamaWkVZ8LV2TomPxW1u0c+w4+6xaKSnhcOZ6X3770ffv1bOe+01nR6jcFD4WzdYkWFOOwNjfL5ES9K2tsLw0Mi7Z5IyL8dO+XeMjwsKdO792TTkqPhbFqf9s6DUEgEWvr6sy0hkglZpEgkNLGY3A8W1Mp9xj+EgYBEXF1XxEoCXjQtHpdIlu8oai2LO5YSBy+Z1AwOZdNatZb5LC+X+eruAdtWXHEZbFin6evLjquxCayAXAtuWlNdLeNIpTRDQ3LsW9vlWvXbEdTViXBISYmk7D76mCxIrVgONTWKZEqiq4mkHKuyUpmXvj65lpWVvX8sWypOVa6Hdv8DskDV0yMLCWefJdF67UJJsaa2Rr5vW5ts19qSTYWNRBQrVyiGR7P1alpn+0F2do2V0R8Z1tRUy4J9PK7Zszc7N9NhLPvTgP0HJMT7gX+FL30V9u5zueNOeNMbpVGy4dQSCCiuuVoeQB/4sDtpTndNjcVN35KV1pEReNd79ARVOIPBML8YHtYk4pJiVOdFq1pbJZWv7rBmzx5ZUZceOSKaMTJKJp0v7a3EDvSLQ1JcBAqJ0tRUi3ERDouRG48r6hvESG9uEcPh6FFN3WExaFesgGXLZZ8FBXDZpdIDyqe8TAzdw4fFANy9B87dBOefJ8ZQMiEiGUNDklYUiUikAGQMl1wkhltfv9R8PPiwSMr7UaTuHhnn8JAY9GVl4liOjsrnjcaz6UK+w1pbI/MRCSvKy0VQQSEG+KOPy3dZuBDWrBKjprhI5sWyRMRh2dJsBCgQkG38RsMHcxzI4WHNkQZJHbvuWsWVV0hRfygktXtbtsr3CoU8QQ0t7QEqyzX3b9Y8+LA4BFVVIht/+DAsXqxYulTG4vcSGx7WtLZqFi6Q1K3RUTHAa2v81XpxXi++UMYVj2t6e8WRSiTEeRwcFCM6ldTs3SfG+8FDEj1Lpf10xKzhd/CQzkTg/IhLwBJH4dAhzfbt4mx2dsEDm720wYAYtYVFZAz+ydouFBWJs9fbK9G/g3XijJUUy1xpLVED/xik05rHt4pwwuCgpNn6kdZckQj/E2Ix2LVbZVJ1G46KwZtMZms0XVdSSg/XS73nI496aXlhMdQXLhKnrKRYfvfr8xoaZJx+TWIoJBGhBx+S4621Jp6Q+jTpQSj/mlvhSIOkLldUwOiIXN9rVst1lUxKeltHZ1YKPZWSsRUU4NUcaS48X7NksUR5fZEUZYmDkEhINPbgQak/88UlkolsevDGjeJ0HaqThQ6/d51v6A8NZyNXXd2yEFRVmVUb7OjM9kA7fFi2i0Tk2ty2XdHeIXP6+OPe+est0vgRSMs7f30ndJ8j87b5Ac1PfurS3y8OL8h3a++Qc72+Xl4LBhVlZYqCfDkGjUclqtXamlX29BdDBgclxbaxSeb04AG//YZsE4vJ6+0doraYF/OET5QIjrhpnYlSP/yoLA4ob17a2uS6UUoW0latlM/2I7RKSRmKXx8YjWRTw+sbRMykoUH+vmyp3Mf+/Fe4+XfiTC9cKGMbGsoKwBw5ornrbmlU7StXuq5ETjs6xCH1aW2V+0trm1x7/iLAiuXMiHHQ5jkPPqR57/tF0vNjH4dXvAz+49Pw+tcpXv1Kc/jmE0VF8PKXSoh8MkGQDestPv4xuYEvWQy/+rVx0AyGE8G27efatu3Ytn3Qtu2PTfL319q2vcP795Bt25ty/lZv2/ZO27a32ba9ZbL9L11ikZcvxmIyJUafn9I0PCyOhlJiKHR24a2+ys/BkBhknZ3ewzktKn87dslrj2+Ve0EoJH3SAgFNPK442iiRMUnhEmPNT7FrbYb+Ac3Ro/D7W+D2OzT3bRZjddMmMf7SaUn12ni27KenV5QXm1vEqLt/s/w8MizjGhqUWjdfVS2dhtG4JuyN3xci8SX4739A0pKGh8TAlNQtxaazxWBPpcgYxCA1Zz09Uq+RdsXwjEakhueBB8X4OXAQLrtUUVgoTmsgIA6jX/cFUpNVVirGXmOTJ9IxLM/GinJfgVDz57+4PPiQS001magdwPbtkp65Y4fUnfkRxr5+TV2dZmBQWh8MDMl33b5d6qRQsp/D9XLcCgolxTHgpRaWlso44wkxxgMB6PciaOGw1NxI1Ehee+gRmdNAQByPokI5b9rbAC/So7zP/McdLofrZS4bGtyMc+Wn3C1bKkZpLCY1WR2d8t54Ag4dkv3m58PGs0RxMJXS3Hm35uhR1xNxkShba5sXmfFSAjs6JbLS1wf33Z8todi1W5zK0bgsVIyOSINx15VIXTDoR0ZlP+JoacIRUR4EiWqEQoraWrjqSgBFe7vn5I9KuppfZ7lkiUSvQK6fslKZ08FBGWM4DCtWKMIRxWjc27f393RaHJeBQRmbZckChB8B9AVZAkGpQdt/QJy/bdvFOfavP7SkJo+MSFqw9ub/7nuzkelgUJyAaERa7eTnK+JxiYL61/DSxXJuW5YsWjz8iKQpFxbK++KjnphJTj9FuZYkOtjd5UUZi8VRLMiXY7toIdR4KZN33yuRpkFvUSXtQkGRzGEs5jlJjdnrOZGQ2irIOuFHG8VRym29UVgoixAdndL7EPyIm8sf/yTOcVGxnNN79sliSG1tdp91h8WZXbhQrrnKSpkD25Z7Rf0RKC2W7zY6Ko7mc65TrFkt5+ChOi8ttkCume4evxecHI/8PDJpkzt3+Y62nN+jo5q9e+Vc7e6Rc9dXdwyH5F+bp14aDosT6rrikI3G5V5aVSXz5/dgrKmRiOroaFbIRWuZk+IiOTZ+E3a8xR203E8sS3QjHnokm9Y6FcbCn8c8uU3zmc9r3v8++MaN8KpXSiFtMgmvf+2pHp1hPEopLrtUoTW88180+w9MvPie+2yLV79SHvSvfiX09Lg4+42jZjAcK7ZtB4DvAM8D1gOvtm17/bjNDgNXO46zEfgc8P1xf3+G4zjnOI5zAZPQ1uYyOioKgofqJPrhhwe0Z/QpJFpRXCQGwI5dktbnK8K1tsFZZ8lr/uqpRt7X3CyGZjzuy9VrDh0So2TRQjEEL71EDEDHgbp6We1NJsWgrTsMW5+QKNsBTx5ca4mi3HOvGB6HD8OWLVmDq6PTq5saFEOq0zPQM2IBWozkzk4xlCI56ZuxqETkztogxldnl6QXDg1ptu8UA7OvTwyl3l7Nvv1iFLe2uiQS8v7CQhFQSiXF6XX2Q36+5k9/kTSx/LxsXUl+fjbic7RRhBhCYZnL888ThyAvT+Yi4jlDRxrE+D1wUMafl+eleCFGeTotjkg4LBGdSk+FLp2CpUvFodVajLydu+T7aC0GVyQqxmZ+vsxfNCoOVVePHJeGBjE89x+AAwdcfvcHTXOrzkRGADash/VrZf6iETj3XBGoKCnJSvtXV3nKeVq2DYUUv/+j1Fc1ey0dVq/2ohRFst2qlWLgumky4hB9/WJo7j+oaW1zJeUxLcf78S2eMVmYHYvWkpYZComjMjQkaXDxuMuWrXpMPdo5m8QBOVQn77dUTv2d911vv1PqdGJRMcIHBiQlLpWWGqhHHoXhEZ1xAtKuGK9ae4Z7vUR1DhzM1tAtWqRYuEC27+2VtMmREdlfw1Fxlisq5JqxAiLi0t8vwhjaFZVVkMWMjk5JAUwnZf79FgEdHVLzGU94kZGYRKOLirwooZbryleJTCY1DUfFaW1qEqXQsjKJZlmWjOvIUTlWlRXiQC5cAO1tiiFPqGNwCFq8hZxQSJPw5OSbm8WJLy2D+zaLYqhfT1VfL9eLL8CS8uovM4I+LqxaIc7l41tEfj4QyB6fZCrbC6ytTVJFI5Gs/DxIamTDUalLbPbqBBMJqTttPKozvQ5dV+4L110rzaRDQbnG7DVeNGsRhL3rNRKVBQRnv5fKq6G9U47NWWfJNfjY45rdu3NEgbQsKuXFNJUVKpNq6UfFBwezx/bgQfkO+XkyH+edK+nR/vfu6pb709FGueYWLpAFrW3b5RwY8up/Fy+Se+iOHXLDrjucXWxRSlKi/fuj68q/kVFx5oZH5N6llGhFrF0rn59MygLRsiUza0cYB22e4rqam76jed974Fe/hmuukgPb2Qk//7HcRA3zE8tSfPHzitWr5GE+vqH12/9ZUmfe8374xa/gXz+geXKbcdIMhmPkIuCg4zh1juMkgJuBG3I3cBznIcdxvEQlHgEWHcsHtHdKTciQp6LW2JSt5fCbwFZXwb592ZXmVFIMED+SUVIqjktZmRj0xcXyt5iXmpWfJ6vOXV0iK+2z15GV26YmSTVcuVKeA2dtUBxpEONq9WpAi2R2IADPfbb8HI2IE7N+vaT7tbZl65fWr5PV8NISOHuDV+AfVZleU1rLWLu6JR3MvzOlkrKi39Y+Nk3t0cfh/gdlmzG1eMPZGruqKou2DnHofEd0524p1L/8MvmeIyNiYPk1Mtu3k5HDBzH4hoegu1PGsW27vB6LiWNcXi5zu3atoqIiq4DX1ibGbzQic7zPESOsqhLKSyX9r6EB2jogFNSUl4oDs2a1OGXDwzKmDRvE4FVKesJ1d+OlKsp2zn6ZN3u1OEv3bRYjVGrpVCb9b2hQjNJEQpyfO++SMbW2Z2sT066n9heUeezrc1m/Tpw+v66qrk5StPr6ZYy790qEptWLvi5ZIuemUjKv994n0YRFC1UmHVNZWaN+ZFT2tX27SI2ffZYilRYnWWsxmlHZlK6hYXFuEgkvSuSdHy0tOiOEtXaNlz55RM6DRAJ27BCHNRzOyr9L3ZCoNe7dJ8ffl/Ev8urSXG+7bdslVS4ckih0eamcG2WlsHqlnM/xOOw/4LJzpyemEvd6/g2LQ5kXk4hVpSfSEk94kusRGc/QsDiWES/9eHgEntgm40+nxOk6+2xYtlSuGXFaJHI6MiqRlYce0TzwsKRKBgPZKPzQkFx/VVXSWqDuMPT2S1RGKa9h9xo5pgtqJZJ44KAoubppidJ2dYlzWVwsDpv08tMZISC/n6DrwtYnxQnP9DrMk2ulqkqiwNt2QEeHy45dIu6RTMr9KhSSRSS/KbYVkPOpf0COw5PbpLVAMiXOeVe3CKHt2i2OoF+b+NBDUvu59QlJ562skOviUJ2cGxXlouJaUizHyHdIu7rlus3LE4e7o0POr127RUTk/HMlW8lSss1oXO7NobDUsca9e0naqyHt7YPGZnFEBwclxbmwQO7Jo3HZ/7nnQH+fFod5UL6vf1/v91K/e3rk3LjlT9kx+ffNWEzRcDSbpppOS62hUvDgg3D4iGwfDklzbhNBOw3p65MD+l83wh13SgrBuefAj34CH/sIFBWZwzbfqalRKKXYvgMeelhe8+sHLEvx//5dUeylBLzrXfDRj2seftQ4aQbDMbAQOJrze6P32lS8Ffhbzu8auN227a22bb99sjeUl4mRqrXUMyxepDKGzoqVYrSnXXmYDwxKjUJxkTyck0n5F42IM7FrNzz2uDgZkm4kRk9eTIwTjRiCaVdSoAsLdEYJsq9fjIu775GGquGwGAe7d4uBtGePRJzu2ywG5IIF8txoaNAcqtMMDWcNNN9wSSTFqB+Ny4r4X26VEFtVpRhOQ0NS05NKSlPtllZ5b0eHRJa6usXQqKoUg+riC8X48D9n1FOHlBohjZsSY+eJbRIhuPxSSZdsOCr3yHBYHIbDh6UOJRyR6MmCBXLv7O4Wg7SyShzTZFKMxd5eKfBvbJJ5bjwqTW1DIRlvaakYYa4rBtzoqIy7rl4c6ZoqkavPy1P88U+SvnnxhXDPfWIEp9Oyn7o6KC/XFBd6jayHxGkpLsrKn3d2yb/HvPq66hoxQIeHJaLV2KjZf0jmpbxcsfEsmc+eXkknBTF+G5vE4dh4tkQEAwGRa49GszLvvX1i7C5cIJ8ZjUJxoaz6g0RXdu0W4/X880SYZDQuEZ4HH8brY5Xt+1VRLoanq8X53LlLZ2T6fSNUMbavXColNWqWJUb80JDMw/CIRJtHRiWi5afxRSLiBLhpeU95mXy+v1gxMkImIhOPw6IF4kyEwrLfktJsU+6ubojG5LVgSKTph4fF0enshNv+LsdaxHfEMT5UJ+fY8IgY/6mkRGa7uiQ1cO9e+bzCQi86bkFpuTgyg4PyvqJiT3SkkWy9uZZ5iHriN6NxTyyiQ5x6reWz3LRc82lXzpHuHnFAR0fEAUinZe7vvU8WUg4chD//RSK2SsmxraqU7QKWV986KN/XT40EWLxIU1SoaW6W+Wxrh/POVaxcLud0V5fMtb/wtHefnHd+dDAYEsd800ZpE1RYKIqlloJnPUPGPzQEgwNerV6vONThsBwXreU87eyCkbhc882tcq7uczwnrFjuUfG4nKsNDRK17huQcZy1Xu6Lo6PZCFk6LWI2HV2SLtjbK452Ou1FFV35XWtxAnt65W91h0XZtrNDWnfs3iPXWGWF3FOCARm3vxi3dIksYO3ZK8qSKBnL4kUyn4sWKZ57nSzIdPdIVK2xUdPTo732A3IchobkHuY3jfdFRpYth7//Q1Nfbxy004qeXs07/kVz/2bxxq+7VvG2t8BXvg4f/iCcs8kcstOJF9+geMXLFT09mle9Tmd60eTlKb76RcVtf4ff/hYuugBu+5uecUXFYDBkmCyNYNILyLbtZyAO2kdzXr7ccZzzkBTJf7Ft+6rx70skIRoJs2xpmMbGAAcORolG84lFo8RHwoyOhBgaCpGfH2TTxiirVkZIJMMEAgEsFSAaCZJOBamtidLREaS8PIJSIVLJEHmxEL09ASwrn8GhEPF4mHM2RYhFQ3R3h2hpjdLcFCIQjHG4LsLRBsXefUEqK2OMjAQoLg4QCIZYtDBMWWmI0XiQkZEgkUiYIw0W9Q0hAsEIRxujhEMhtA7R3xficH2EgYEIrhumuChCd1eYzs4omx8IEAyEqKyKEg5HCAYDKCtCMBgiEJLfu7qC1NbG2LA+THFxkJ6+EE1NAR7fEmDHzihtbUFaWgNYVpSBwQjBUIDevgDtHZBIhggGA3R0hLj3/ggPPBhh4YI8OjtjnLU+j5aWAJYKA0FCoSCDgwGGh4M0NoVw01GCwRCpVIjioiBDQ2GecU0BC2oLKCiI0duXTzQaoqg4wr79AQYGgjQ1BSkuDhAOBVm6OMqCBVEUYWJ5IUpLQuzbF2Z0NMzVVxVw7jlRKspiVFdFKcgPcPHF+STiAcrLI0CAcDgAhAiFCujrD1FdHaakJMCCmgixvAjFRUHWrZXj39OjCIcCtLQEaGkN0tcXoaSkkM6uPPY5ARLxCCtX5NHdE2ZoOEpxSYTFi0LU1gYJBgNEokHCoRCd3SEeeSzCM68poKCggHAoREcn5OeHCIdCBKwgqVSE4ZEIWoeIRsLk5fmvh+noiDA0FGBkJMzefUG27YhQVxehqytMOBRCqRDLloZZvCjKhRfEKCgIU1sTpqsrgHZlDKXFERQWIyP5aDdCOBwjHAoRi0a56sp8BgYjbN8RpKMjRFFRhNraPIaGw+xzQigiDA6ECYdDlJREiCciRCJRopEIWhegVJDeviBa5xGNBInFAlRVBVm1KoYiSktrgKbmIP19IbZuDbFwUYxQqABNlFRKzulYJExjY5gli2MMDYdobApyuC7IwICcy4WFIUpLg/QPBOjrt8jPD4IKAor8/AjxRBjLCqMsi7KyAOl0gGQyjGWFsNdEcd0Ql19SQElJjMWLoqAtOjsDWFaM9vYgIyNhYtEolhWirc1icEhx1z1hwuF8LrwgRllZlEQiwPBwgD17LfLyLCrKA3T3hEgmQzz5ZJh0KkA8HmBkJEAkEqKkJMya1VF6ukPU1AQIRyJoIhQVBTjSYDE0GKSsLIRlWSQSinQqSDodYGAgzEUXhsmLBdA6j6VL88kvCJJKhejoCNLbl0dNbQHr1+UTDIUZGQkQi4YoLAixZWsQrYMErCCRSJQli8OkklH27Atx9GiYvj6LRx4Ls2NXhD17w4yMxCgpieJqsKwg8dEA/f0WC2pDvOD6Iq5/XiFaB0FHyYtFqKyIsaAmSn29HJPq6jAlxUEajgRJpyLEE0E0ASrKw6xZFaOrO8L+A2GKi2OUl4Xo7o7Q2yv3g1Aon/KyAoaGI4TDIUpLAxQVhMiLRSguiREMhbCsAKFQkEULIyxZXEQkGsOyQpSXh0ilAwwNyfGoPxIllQyxelWYRYvyeWxLlL1OmMKiCKMJi2XL8hkcijA0GKCwMERBQZiKihiuG2PnrhiLF0eorIyRTOVzpCFKQUGEVCrA1ifCFBbEiOUVkF8QZdnSGKFQhJKSEMlEiP1OkGgkQlNzbNoHXHBWj0HDSSGR0HziPzQbz5KVmcP1imdfBy9+OZyzEW54oXHOTldKSxVf/7I43X/7u6yM3/BCxRc+Cx/6iORzv/gGxfCw1JRcdaVJYTUYZqARWJzz+yKgefxGtm1vBH4APM9xnC7/dcdxmr3/223b/iOSMnl/7nuHhzXBQJJ4XIre77hzhA0bpIaquVUku2trZBV62/YUy5bIqrbWEgFatkxSWzo7U5x1FqRSKRJJWYlPJmRFdWR0iN6ebNQqG4VK0tYOxSVJBgckylBYlMJ1U5n+agX5aeoOi0rkggWyyjzq1UAcPepir5HVYF/4IO3KCrBlST+j0YTi4EHNnj2S7pNKp9m/P8mK5bKifvBgmrIyWXkOBiV1aMvWFH19vpy5rK7n5cPI6ChVVZJ+1tExQmub13jZAssKEAympDdaMs02L33xox+WVga7d2sqKiEWS+NqiXAdOeoJOwxBMJQkkZT31B0WcYzf/C5BLCqpWjXVMp9xL2KyeLHMwe49kr7W1p4iFJLxt7SKAImlpQ7kzrsS7D8gRf+JhERNvnnjEAWFcPGFae6+R1LhNm1Ms31Hks5OESsIheBQXZoN62A70N6RIhKWeamqSnO4XlblQ4EUiUSShx52SaUhEk3z+FaJ6HR2yap9KCTj9dUAE0lRldQu1NXF6e2TSIurLUKhJIND0NMH4UiK+noZX2+fRAUHB2H5cokuplKgVJqUV3fn1xl2d0tUdt1aiZh1dUkkaWBAIjXd3RKp2LNPIkLbdgyxa4+X0piE0dEUT24XFTs/8mNZ8ve+Plkl6e6R9LymFvn7hvUi2lBSAp3dcVEg1PDXW1N0dsn2AFqnWL9OPre/X6JkA4NQU52ku0tRV6czAiFHm0QBNBRKUFEhc+c4kt553nlpbr9dIlbJhERLLMv1hFACBINxSoplHgu8NgXFxRCOpGlugcHBJAX58L0fJCkpkhqpZFKu0ce3jOC6EkEZGVXk5YkcfVkp9A/E2bw5LhGmYYnU1Xj3iM4uufZXLJfzw2/aHAkDFoQCaVIpifQdOCTpv2ef5fKEV/9XUw2hkEsoJJHzmhro60uRdqF/IC2KoXnwl9uG2bjBE/wZlQj3gYMpEgnp+5VMaK8tUFok9FNeinESlEpx8CBEz4L8mFwPBQUwPJKgshKOdsCT2xL09EBxUZCOjhQp7/gfOuzy19v6aWmRZvOxvBTOATnm8VGJylVVyr2o00v9LC1LEY9L1KmxMU1+vpx/FRVyzuYXSMS6p1fef+BgippqLwPBgqERGI2nWbpMzl+/52NAweBgis7OBF1d0qNsYa18fm2tpJPv2DlKZ6cc0wMHE5x/vqK5WVoEBCwIBYcoKpQoWmdXmq5uOQciUblfFuRLemvSuzdFonLNNTWnKS5O0tcrUcahIYnMdXXKfbS7BxYsSHk1p3lTPuCMxT+P+N7/ShrEv31IMTIqqTTf/o4oVH3kw6d6dIYTZckScbrWrBElIoAHH9a86fXyYLnl/zQ//InmS1/V/OZ3JpJmMMzA48Bq27aX27YdBl4F/Dl3A9u2lwC3AK93HF+7C2zbzrdtu9D/GXg2MKF1aGGByqQZAqDEAAUxOC8436tz8P7ecFRSiIaGxLhsbAQV8GpderMiEB3tktpWVCiGSigsBqJIeGcN9opyUX8rK4OgJalBDzwohm1bq6fUByRS8t7ubrmXpNKSjrT1Cdi6VfYZjYqhlEiI4/Dgw3DPvZIOqFW25mX5chlTaamk+YB8F63le9YfEYPNssSIuv55om52/rme+p2bbaor0vRSl9TXL+NCy3dbshh+d4ukER06LOlsTU2SttnZJQZQLAabzsnOeWGROECu9lLDPBW1YEjmfvtOUbvr6ZUxJBJeHZfn+IbDUq/kapm35lYx8tOeCmFzizQALsgXRb8//1XmJJUUJ3dwUI5lfFT2OzgkxlZzq8zp3n0yRy0tXg+sUjlnDh4Slcz4CByuI5NGVlMjjkNRYTbdzC8vD4XEoXr0cUl1HBoSgy0vXz4jlZSmyL7KZFEhREKSMquUjMV15Tsv8RxW1/XqmPr9pr7ZVFw/NausXMaxZas4Rl3dUuelVFZ2XiN1Sj2ec9HdLefo/gNyznR1iYPZ0Q4VZTKG7m45//Lz4ZGHswsSyZQ4+b4wS3GRJyVvicHb3y8LEK1tMp9+LZ+/EJJKy3XQ0iKfG/JSLY8ckc9yXdlvIiHGfCoJC2oVaK//mZvtCdjRKcd2eEjmIxqTxYDObhGeGB6R+bUsX2hC0tu6umU+i4olXfHQYag7IuMoKZHPLy+XNE+FLDK4aREVKSmRc9qvhevqyv79wYcgkdTULpBzdmQ0W48V8tpO5OV7x8T1e3aJc+ErO6ZScu2nvfo0qVeT79LdI8fMsrz9j8gcV1TI8V640Es9VpIm6ThyjtQfkXOnt9cFJfNcWysOVVGh7Lu0RFKXCwskrbG6GjZtlDTwoWG5fjdskOuxv0+u8agXUBoYkDlztXxmOuWli8fg7A2KZEJ6642OyvEc9dIcpQWDfP9IRPbZ3S2LRuvWSo3g/gNSt9fULMc1lYZR71zyhXM2bZRrc9t2uQ6Ukv1VV8m17i8MtXfI9evsl3Pn8a3Za8Kfe61lnvPy5J7R0yPnUHtHNh18KoyDNo94+csU736nXJwvf6ni9js0d94FX/+qorjYHKqnCytXKNavU2itKS9TvOTFissulQfJ7bfDi/4JfnWz5vs/cE3Ko8EwBY7jpID3AP8A9gK/dRxnt23b77Rt+53eZp8EyoH/HienXw08YNv2duAx4FbHcf4+/jN2703R15tjcHbkfr4YBOm0GHPnbPLqZYJi5ITC3or5EKxaLQai72hYlhj6qZTsc2hIDMyyjLR2dkW/vMLrNdYnD/jly8UQDHt1VQFLjNqublEhdL2i+MEhf1Vb/p5OyapxMukJW5RkHZyebokkHPXqilDy3sFBqUMLh6Wuxpf3XrlCan8GBuCW/xM1vq1PihGukegNZPsHpdMSFQMxZAry5bMScTHAa6rEEGr2Izw9Mp5Br4bDl0bv7/fEViISTVi0SGrybr9D5rzEq//r7hYDTOtsZCAWk/cXl4gRFwyK0V9UJHO4Z49EQ33Hb8MGMdKONmb7wz25TeplUmn57q4rTrNliWN1/vlZY7GlRRynZFKEMZJJed/wiGd8psWgHk2II7JurXyef8cPBuV7joxIfU5HJ3R2u4yMyPkYDIpBX16GF0ERw7q8XOagrFSOc/0R6SV1+IinSJiP19ZBoqu+s530zoniIjL10aGgfJ99+32Fx6yDVFEuztWwV2so0WCZ31BQxjI0JOfl4XqRVx8elnMpv8CLRg16CwopMXRLS+Xf0LB8v5YW2YffS9BfgIBsm4O6w2K4H66Xa7KzQ5z1hqOeI9khjubgkETS+vplIeHAwaxgh2VBZbkY1s1eHV5+nmwfDMjn+M6l60q0Oi9PnOAjR6HhiETLjh6VMXd2inHtOHLOHa4XZywQ8FQJtcxx/4DX1FyJ0d/fL5+zZLE4qJWVsu9du2VsnZ2yoNHZ5S0qpGXe8jy1wopK+c4LaqGsRI5P/4A4U3FfQCSg6R/M3jv6+2RcRQXye2ubHE9nP/zt7zKPrW3ZBt0Jb/wiHKLYeLZcM/X1cp2ttcU5O9Ign11eLuqOh+rEOSork/enkuK4xRPZc8ZvXdLYJM6Os1/Of1fLsRroh7o6zYFDcPCgJpJTkzkwIEqJSslYYzFPtMmrn+zu9qO/8t391hRWQBYESkrk84MhOf9a27wWJYNynY6MyLXuR+5275ZFit17xHnt6BSVSqXItGJJpz0hlYRkUhQWynl48JA4soHA9JlSJsVxHvDgQ5odOzVveZPiox+Hq64QkZDf3yJy+hXlJt3t6YhSile+XH5+w+tEUramBn73B3jJDXITTqWyhaUGg2EsjuPcBtw27rXv5vz8z8A/T/K+OmDTTPv3Fdta2mTVMxrLXo/ptERfNm4Qg2D7djG68j1ls6MNYmwqCx55RJyakVExqDo6xaCwFFiLxFD1xUYKC8WA3LZDHJkhz2gpL5fV6LAXJRkakJVxaYorRlpenhgfCxfIino0Ksa/7zSkUrI6nEormpo00agYygMDnjqfFqfTb86alyeOzsiIV3zvSkTwscfFwFm4QL7v8DBYSrNsubea3JHtaZT//9v77jC7rur6de7rvUzvmqan3iXLBfcO2BB6TIeEYiAhIQkJCYSYEHo3JYEQCCGQHyEJpNBsDBj3rmI/1RlJ0+ubN6+X8/tjnTNnRhqN1S3bd32fvtHMe/fe0+69e52999oBoFKhdLsQirwMs935HLB+ncQdd9IgHhqh4eL3qdA01TZNWhwWCY3fT8NocpLzE4saQYCaGhp927dRbj+dpnduYhJzYguZDAUKnA6G8U1P0Sh2u40nraWFY+J0md1vy6JxPjhkiInloFdkYoLXbm/nvAaD/LuAkp6HOc+OXSRQxSLVNkeGabhqYROhwuXKZZ53RoVuOR0CyYP8jtPFdeN082exSBI9PU2J+Jk019vgILB+Lb0FpRIJ2MAQ25RT6yIWpSE+OqryLr1Uohwb47wPD7MjunhzPEobpaFBhdlN06hOp/n/cER5lEK8Ri7Hudu3n9davZrf7+/DXKH38XHOe7WqPMheCjP4lPrjzt1Ae4ec8zCGQty06OygB83r5Xw4LPaBa1IRySLJzsQE76mplITLBfT0UCgnl6d3pKFBefLUBkJNDXDXr7nWp6dJZHJ5ljsK+Nk2n8coATbUc14mJrjGsll+5hBcS7rW4PIEDfzaWnrZZ2ZMIXZdyy0YVPfjIc7LzAy/Xyrxs9FR/jzYR++V10vCmM+z7ffcR2LR2608qS5gZoY1F33KUxWNmVDY0XHez8EA8PAR3isAf7Y0sy+a7OjnXzgkcOAAj/X7OR9f/prE/gPsv9vN9dfbQxEWv9+ImxwZ5D0XjXBdXXwh79sjR7j5EokYz14qxblwOoFfqiD01DTPl8spkiZIuNrbjeS9DusGeN58gWSwqYnra0rN6aF+nquunvfi9LQSKnLz3AE1FwJcU4/v4JyWKny+C8FQ2+kUCboA60se7OO92ddnnit55QWtVJjWtBRst8wzjCNHJG77qMT6dQKf/hxjuq+7Fnjfn0q8/fcF3vh6e4qeD2htsfCVLwkMDLC+z7ZtwJ+9T+Af/0ni9q9UUSrZnjQbNs41amstuNymeKnLaQqTBkNqV3uChh1AMjM2TiXCcpWS924XjZ6DfTTGh0e4ay0lDYa+PhK6UomGgNdLElfI05huawXiEX5+6DCJSTYHZPM8v8+niJ6gcRCLmiK3+w7QWAyHuUMcjzO85+FHJB59jIaPVm+bmqKxZlmmwHMsZlTUAHrzYuo8Orysvc2EC04otTK32xCNYpG5fOPjbIM2nhrqKW3/059T5a1cMUWJiyUSiGKR9eA00QmoELimJhrewSCNqbo6GqPDIySYI8PAHb/k8X4/d62rytNZLnO8+/ppKMVj7E9vDw2o8TFe4777gX/7gfH0DAwYafNCgQb68LCRE/d4OTfT0zTUfD561CIRego6l7G9zB0k+ampUQqSAc4pBOe7WOL//X4WUo5EuNayWQmnk+PncXMNhIJcB1LSg9rZqRQax7iWwmGjFGhZ7Hs8RiN4dJRetGXLTNFrpwOYGDPlCMoVkx9WX8dxPDLIuRgaBoJ+ktSOduN9jUbU2Ewbojmd4nj7/QzTffxxbj74vIrMqrbV19GzOjqqSGSWYzYxwba1ttHoL5c5DxOTJHdCcJ5rapSK3wG2v1RiOJoutxAI0jN5ZMDcG6Eg7629+3i+cIRtDQR4D/i8JI36mqUS7/V8nvNfVZshPj+PWbGC90AwxLU1Ps62RKNsy+wM2+BTntPeHszllU6nWLbD7WYeWibD/vgDxoudTnPNp6a5xh0W++ZwsA0zMwzJ1OG86TTXUVubUTiUVW5MAKYOns6Vikd5LUDLxxuidOgw51gIYDpVRV09xyUW5Vz3H1L5tW7OY6HAUMGZGa7ZkVHOtWVxbKdTfHYl9/D74RC/MzHBn5Bsw2yG15yZ4bil0qru3SzXVCrFZ+yTT/GcI6OYKx5eEwfa2lWR8zSfkwcOcl273YBHEVaK8HATJhzmM7hQBIYGeC6Hi3MuBMmtLmLd3cXxefBh/hwYBH5+B/DYY3wuerx8Xjmc/H5Hu6mJuRRs6/8ZRKEg8Vd/LfGyl3In8KGHgA+8H/jQh7kYXv47z3QLbZxLhMMCH/+oYIHQLPDOd0sMjzA85b3vk/jhf1Sf6SbasPG8QrkskU4vDKPxeFi/5sgRGiVuNwlMWxtFJ4JBvuAjyhMUj/N5vmyZSSLXogqVMu91IXieiPIYaE/TocMqR83FneK6etbnCgVp7IQCNFb8QRrJo+NMqB8c5LEBH40XLQoxNASkM0pG3KG8FFG2IRjk7yUVCpXXRrIyoD0eniMUAi59ASXkZ9N8b40MA0ODNIzcbhO6JqWpbZZTho3fT0N8bJzk1eczRCuswutyOf4+OkZvwOws/z8xToLw5FMABK+RyQD33EPjsKmJ5CceZ2hpNkOjPhKhUTg6xvEMh42hl81wfA70GdLn9ZKkhYI0ZCtVGv6TkyQuAPtWrdKQTyynl25qmiS3rpb5Vw8+REPR4VD5bTPsSzjE+R0YoAFYLKri36CXtrmJhv/EJNt+771sj98v5moxBYO83uAA+6DzpwYGVP5QM68zOcnC5dkc56WuloSgkAe6u2nUBoMc52qFhn8gREPVUnlYs2mTVxiL0yBtbmLO2/6DNI5LJR7vcbMtDfWc26lp5ZkJ0rhN7iGhyGZ5zvQsx8zvM8R+fJzkb3BY1d1Sxv3OXTSqnU7eE3v38hwTkxxHWcWcgIjHzeuUSvxeoQjUq/yt1DTbMjtLr216lmMWUl7PXJYEdmiI60fXg2tpVveehx7GxHJu0AyPcE72H2D7p6boWSyX+X+fj8fM5cJl6b0bGaFn8MiACTkMBEjaD/aZ+m7lMknMbJpEJZfjvenzM1SQxeD1GuG9UVfH+atW+L0nn2TIoi5BYSnPT1B5lf0BjtXhwyT+qPI8Ov+vUGA/ikVuTkSjKhdvgs/BIwO8dkcbx65aIUGdnOIxsRg3ozQhL5UYuiurHCt9/kpF5a0Oc10HAiQ1hTzX0sSkCoNNq34IUx5gaJj37tQU+79hAwWdamp4frfbPG+0lzadZnmEZcv4M6c2vywLmJwmwQuGOBelogrJLfG5Ew7xPu/rI7kPB7m5Mj3NdszMmnIj+nk0PQ088JB+5tshjuctpqaBlSuBF1wCvOe9Ep/5pMBX/0HCcgDf/qZ42irjNp576OgQ+NBfAR/+G4kPvB+4+GKBVEriAx8Evvs94OqrJaYmGX6ji1HasGHj7CAWtTA1XUW5rDw3zSqZ3UsScPgwDeiMyivwemg4hUKs/wNJMjIySgK3Zw+NEa+HhmI8DsS9PD4QpLEdCEIpzalixodp3Pf0kGQ8+BCNiFIRqHpp7E1OsG2Tk0DaTSO6oYFGTTDAXK0dO1XIUFWFa7pJVLI5GiurV1FUpLWV19ZhacUi+0CVNRqvMym+vzZt4Dn37ld5RPXMM3G7AJGdp05YFvQOTAEuD4AS5kIee3toeG/ZTPITDNKbk1cGm9erhFCK/Kz/EP82nVI77hEajGPj/H6hyH55vBTkcLooLpJOcyxGRzmHsagquj0GQGBOGa9c5neEg8ZWMMgxLkyQaOmQvFKJJPWiCwW+932G3jkdJGqBINfF2DjbGPCTAArBa+fzKg+tanJj+vpoxPf10+hzzMt9WtbOeampseB2k/zs2cOfsNiv1AzJTz5vcmfSyiNaW0eRiGyOtfL0/E5PkTT293O808rorZSAshfIztBAdjppTI+O0niuVvnd2lpVWDxLshFQ3p3xCd4vDif7lMlwHgp5hlv2HzI5QqUixyCX5d8eepheRL+f+WGQJFFNzRybgMq3mpnhuZublUdG0IgWgr97fdwU0EWaoyoUcTYDlKsSbjfvydQM18LYOEldocDz7j/ANTc6Zu6BapVGeSrFe2hgkPdIKAhYTnWvtaj6WRF+JiVJlmXxnhcWidNjj3NcBVQxdCc/O3LECA/V1ZnQ5dl+ntOvCPyu3SQqU1PcWEjNAKLCcUhNcy1aauNHEyCXi/OvN5xyOZWLqjdjVE7WwACwZo0Ji66rZZ+1GMojj/JnV6eF/sNVtLWQ5FI0hevZ6VL5hn6uCbeb62VmRj1/PJzf2jo+4665ivfZbIaEuK6OmyK7dtOTFI1ybpuaOEYuD+fD6eL4eTwcB7+fHlyXS20aTUk8leT6lJLrMrFc5eXlWdg9Pcv7xaO8oANH1OaEl3Mnwe/k88rL7OTzx2FxfVUrJjTVsgzR1P2Wkud2qLzRUJDvi9paO8TxvMT+AxJ1tcC73ynwoQ8Dv/cWgR07JX72c+BDHwA8Htv4fr7iwgsEXv86gS98mTHjf/6XwAXbgBfeSMPnC7dLPPb4M91KGzae+5jNSIYQOWicjI3SUC0pghGLGaNBVmnMzWZo7JRLfGE7LBPmpo2xqRQNiWCQ14mEebzHy++43TQEAn6GzIRCKizngFJPS/FlPzNDI8Pr406t20UjvFjgdSamaAg+/gQ/a2xkIvuBPhUmmaPRUSgwrwxQO+sw3sGAyvOYnKKx7vGySHc2izkFN5eLBpU2lCyLRpjDQcNuOlVFqayEI2ZJbMIhGob33kvPwME+QzSOHKG3wuVkO/IqRygYVGFKGSAWUQWoK0adUvdl/wGOv9NFY3//fvbNYdHgKpVIEioVnjcWZTvHx5XqX4hjCNCgCviU2mGZhltNjfKKuIBHHqXs++AQ+52aofE1OERSlVOhqOk0xyef53i5XLx2ZycNymrVhPRZFsc9pHJfJibpabnzlyWKt2Q451qtc3KKYVwSKq8oZQxylyLiPrWWnMr4L5aUqEcE8AcEIiGuw2Ud7PPUNNfY6KgR/Whr4/wfPsxz/OjH7G+xyL62tXFdz8wwHGxsjH0YGSWRiMUZJjs5xWtns+ybz0ujt6aGJGVi0uQQ9R3mnB85YjzJ5TLJoM7F0gWnp5UnT99nXZ0koaGgUoNMK0+fyvfU6pOhkLp3shxDAZNzOKe+KHhMVXLdHT7M+z0aU0qAeZWDNMz1WKkY7890iv9Cyjs7NMi2S+WB1eF0GeUd8/vohZqYoLfF0kSgaqTdozFu6Hi9nEOpvMk61HFkhNf0eDieDovE2edTuVkVetyluudlRa0XJ68vVWhhpcx+l0okKYU858PvB0bGqvB6OFbaQ5gvsJ31dbzulZez5EgwyI3lYMgInExNU3jHspgzNzDIMWJYNK9dKHDNFQpcj40NKmS5SkKnPdzjEzz3jh38f6nIjYdCgUQwGuPclcrciDp8WAm3WLwnJHi+cpnPjWCQz/rhYZ7H6+W/jPLq+X382dvNMdUlTkolzmcspgj+KM/rdnN8u5ZxHEsl/m0p2ATtGcChQxK3vltiz15O+Hv/QKCtVeKb3wK++DmgtdWeluc7XvMqJvP/1V+zxMJ//VipPUEipkJ5HnlU4lOftcMebdg4W0inJUplJQmeVSFsszTmd+0yqnbDwwxL0vlm8ThDhqoVGheBgDGSfV5lqPmUNyZPw8Hh5GeVqgp/rNBocDhoAGmSoneSw2Eaf5ksz1coMD8nFKQRUSgwFM3jIVmYmmLoYyZHj0woRKM1FmNfGxt5vpm0Ugwcp4FXX08D0KuELjxu7kC3tNCY7O9X8txRkhoBGm/jEzQwpQR8Xgs+H8OAHA4aLuMTNFDiNTTYh1WoWV0td9V37qKBl8uTzE1MKu+CGiet7JjNMucvGuW/WIxG5uQkiU84TI+D3vUWaoe7pobjmE5zbI4c5py4XRy/dWuVPLwSfFi7ltcdG+WzuFwhETtwgHlE2Rzf5/X1HKuBAZVL5KFHY2bGhJRNT9OQ37uPxnZKzUM6zfFyutg3h1PVnxtUwilORWomqFgpBA1OgPMdDJDgVaucMx0GeuSIKusQJGFbvYrtcbuYDzM1xVqcxSLHoqmJ8+BycqxSKbZxepoGsvZQ+nyc73gN8MQT3CTweNiXpgaSTL+PazIaZf/6+2n8hkP8vVLh+qmtY1srZRIuh5PezWrF1B+bmjIbFh4VEjw0RK+tXpuFAs+n8/ByORr+wqKB7HQCPq+YWw/DQyoP00GC6vMytM2hPFAzM8bADoXZFqcTaGllGLO+1woFoFSg4b9vP+dVCI57RRHpQJCE0eHkvTwxxXUwOcm/uVwk7Nu3K5GwEgnI4BDHIa02MoolrstgiNeoU3l3RRXmqYllOMTQw1KJBGh0lKHPTifnoKtTkbMqn1fRqCrBUOGYaZXRqSn2r6GBkQH6mVQsGkKTnuF4g8sOhw+T+PziTpW/V+L1G+pJBvN5VYYEXEdayXZqmmM1Osq+etwsTeRyMT/0nvtIEi3BuapW+Xu5RNEZWeW5r72W4/6bu7lJNXBYbdBEua6DQXr83W6SydZW3g8lRQ5zOY55OMIx1iGx5TKfVXo93v8A2zk2xr41Nxq1Ua+X605W+TyVkmNaKas1/DSOGJsJnGPk88w7e9UrBfbs5a5qXZ3En7wfeOubgfXr7CmxQYXHP/kjgWKRMtZf/ZLAw48Af/03dOO/810SlpC45ire4H39toiIDRtnGg6HmMtxiEX5onY6KDuu88mEoHE+k2K4jJa312FR2QwJxNCQ2u2vKFW4KZVb46FRZAkVaqPy3PQL3utRZKtbSVAfoSy908mdYa+X59Vk0e2h8djcrCTBm9SudInGQtcylY+kku6hPAI6n2J8jIaHlOzzvn0qLC+n8ssywNe/QQIyOETS6XYDyb00OvLKe+f30+jzeGh8ut0kEAANGL0DPTbGc8ei/P/AgFFti8Xo8WpoUEVrA8rLJWlcZ7OKDDRzLKemlFJbhERkZob9np0FntxNo6xcVp4SFT5YW6PqqkU49hWpcmumeGwsZmpGzaZJXmbSNEj9fo6TECZ0tLuTRmdXF8eqro7nj8dpKBdKRuHQ66NhWa1wnNOzHJ9sBoDFuXe5OI6ZDBAJWwgGOA5HBlRtNKFy7nKmdpiut1QqkSTFotzwW9bBvj/+BLBmFb1y9z7AOdLEdHychESTIgnOn6xyfg4f5lg/9hjn1OGg4Ts2bnLw1qymR2t8giTLcnINViskBZDsP6XGuW6Gh0xB9IDyLjU1UHUvoPKjIhGOVzptxG0iURJG7dWsrWUfC3mS1fp6zoHHw40UeqskHMpTNDXN9Tg5Qc9hIc+xSKeB2nrjPZpJcc49bhrZusB4LktiF4/ROxiJ0EtdKKiwuqryhAoTcujzUaTC76Pn0+/n8Q6L4/vbezhnDie9zVqVMhjiNYsF83yZmeGYu1RIYanEc+YL/CyV4hqIRJT4ibqvPB5VjkKFLc/OqpISWRKbQl4R/TDbIIQKQ/XSCz4xAfh9rNe7Z68RgCkWuT6CIUXenIacWZbKLxwxG1V6w8Ln59odHWX7Wts4Ji4Xc051xk84xH40NiovudMQ75paPidDIeCH/8FnbbnCNtXWqpqIWR6/epV5vk6n+IzO5ynupNWzLYvz5nabjaeaGs5bRzvVUIdHOJ/xGO+B6RTv69ERjqlWFtWlOPSmWKkMDA7aIY7nFb7xTYl4HHj9a9WuaE7irz4EvOoVwCtfbk+HDQOPR+Cjtwnccy93ob78RYGq5I7NzTcBf/FBHa4g8Rd/KTE2ZpM0GzbOJIIBUy9qZoZGiU7Gj0ZobOq8lFIJVBxTu6XlEndqwyG+2MsVGkmDgzRcq4oAQfKF7fUxRKy+nmp8Ws4/q/KdDh6kEel2KeN3nLkg1arJixgYoNGVzRhj+qkkjfVAgMbZnr3Agw9irnD0gYM0YHbsVLlmPhodXi+/73TRcHW6+FlXp1Ikc7ANuRz7kMnQIPH7aOhoafh8HshkqnPJ96USjVyX29QKcynPR1h5BAoqH0rXANu1myQkn2cuXiRMD9f6tWb33O023oBKVRnOKg9odIzjKasm1Gpikh6u5mbOpVd5Gt0uYNUqJemfNeqBgQC9CTrMTCvb6b5aFgnWI4+pvMApGpxuJ6+fmiHx0EqVWvo8EqEHKhg0HqBYjJ85nEDfIRMuOjJcRanCNREKmSLC2Zwqdu6hqqbl4LGW4NrLZNieg/2cO0gl1lJie5b3AOvXqzGSJCP5Ascpr8h8KETj16+EKdpaeU9kc2oNgP1uazU14mZSqn0Zem6CIXoz+g8prxBM6J7Xx//Xq1DWqSmujZkUPZBaaKZc4TrNKFKhvzehPLZuN8evro7/z+U4xqOjqqxBhutDKzD6/TS+gwEl2FLmmmhv53U72mmU19UqRc0o+zg5yXl1e9gWvQZKJSoGNtSpcNqKKZruD/B4KVX+Z5b90iStuZlt08qAllCiL1DCMmpDyOEwRK1SIeFOpegJqqtTCqsl9fzIMuRXE418nvf3gYNKmCfCfjmUR2xGbRBp0aKJSRLThgZuUEgJdHbxeTA7W2V4qoPf7+qkWmldLcmFw8Hx1nXbCkWul4kJoFnlrT30iKoJl+I9GAioEEd1nNOpCrJD1TUr8d/AgCmwHg6bcMd9+/mMnpxSQh5hVeC7jmR8fIJr4bf3mNzLquQ8ZrNc7+Ew+6nrWM5mOHd+P+/RfJ7j2VDHTQ8JPtt0Dp5lAfUNSozEyecAoDYQ6rhuC3njcTwebEZwjnHLawTefSvDN668XOJP/4IPwVvfsbSr08bzEzU1Ap/5pMB3/1XizruAv/uIwJbNfMB94P0CrS18MH77mwJ1dQL/99MiDhy0iZoNG2cCsxlJae0ijQink4bG8DBf8gcOcJc8k+F3WltIrmJRGnzRKF/ys8qTEovS2GttYahNscjjymVDNPJ5CkaMT5gCu16PCVvzB+kpicaMSIAQyshyGANHiwe4lEGRy5O0ZbNsV02chpWWDw9H2OZKhcZYNkeFPq+HHjuPh4RsJs1dZp2jo/NBcjkSx1KJbfB5aFC6XEAwYM0JQghBspJK0TDS+UtC0Mhpa6VxrAv66pycwWEaik6LhumBA8C08pANDADtrTSsujrpHQoGVQjjLI3dunqOwbTyhIyPsx179igVwjJ/RiI0tFauoIiX02XITkO9Ed7w+Wi8xePAujX8TrlMYtjWxnPNzKhSCF6l2JnhOOqQVV3moKy8alLloWnhjXSac5TLse2BgEChoNQlQSN0ZJQGfFXl9OzapUiJEumYnFRkeJDXmc3Qm9DXR6O/XGae0+M7TAmESISkdWqKpKlU4junv58ks6GB4X6BAM+xYb3xKo6MsF1+HxBRHtBNG4GLL+I5JieNNySTIQmqVGj4plIk7bouWHpWkSdFRoeHTJ6hZfF4ncvjdHL+Jyd5bDzOvgYD3KjwednvdArw+QSaGtQ9Psv7wa3IrcdtijIXilRFHZ9gaPC1VykirgjrioQaX5fKHXVxXRzsowz81BTb63SqsggZU7NuZITjMDLKfy0tvGY0QqP+kUcMOSwU6HktFvn8qa3leg2GuA7a2lXZD4+5Vxob+SwCeK9PTnDDoVLlmHs9QMcyI/TjV6HYDQ287xxOtrFYUM+9sikwnk6zbW6XmCsPkU7Tu1+p8HrZPMd1aNiEMxeLQFsL80tnUlx7WjVVb9IUlOdvZobt6ekhcdXXzeZ1bUWS+lBICQgFTA0/KYGWJrWGZjgmu3YboZKWFhUiXmeKfOuwx4p6Dug1FI3qGnJc103NXBfDwyp6YUzlD84Cvb18RmRmOY9CKC+iOpfbw7VVKnGuwqGl3z/OU35z2TgpHOyT+H//LvHePwD+8kNAe7vEf/2Ii/wjH4at2GjjuFjWIfCJjwF/9D6JcEjg1ndYqFQo//3v/wE8lZS45GKBG64DxsclauLPdItt2HhuwO0SDG9K84Xe1EQjd2RUeQjSSolNmILKVRVSYzmUFyhPAyAzS9ITDvHF3t8PxAWNlSMDwJZNVOGbmTEeMZ27EovRIJ6dJbGIhGjgaDW21AzDwSTYvqKDhnE2R4Nocortcrt47YEBGgidy+iZCwRoVGnBCS2pHg7R6BkeoXFWKNIgsSwaUh3t3E1/6knuRDscNO51/0MRk1MkleFfqdBYLhTYnuERGizNTeybFmBpaWaby2VVfsBLEnZkgO1zOmkE69piQ0OG7LrdVIdM7qE0f0EZi/V1HKuBQfa/vY0EzWFxfmfTvGZFGJKwvIfG8Pg4zx2Nsg01NRwHp1Op2xVJcuvrzfh63EBV5YiFw1wPxSKNtYCfhKpaNaF1LpfyohU57qUSyZ4Ol9z9pJwLp+s7RPGSVErlK0oTbtlQTwGIchlwelnMeXRUeTVVCFsoRMKuC0zHYyRA1SqvO6YEU3wqDE+rGeaUkIJWIXQ6gNks10ospjyHShQiFqX3YGjQhPKuW2vEK0KKIDqcDAmLRnUZC46XLjrtcLD/zc08fyHPa1XKJGGFAr8LlWeWzTIsL1RRuWMqxLda5eZGsSjR2MBxDgZJvqYmleJelQInQ4M0st1ufpbPMa+sWOL/nQ6OQS6ncrNynKtg0OQg+WI8d20t70W3m/ffxCT7EFZ5hLU1DDWcSXNtBwL05I2MqnXaTtLn9ZJ45XJqU8Yy9cymp9nPyUmOx4ED3Fzw+UjWA0HOnbCUyEfAhBOXipwbAEgHGJIqoDzAbnrEDh9R69PDtVBSm1YhP/9eE1draZbPKa+X90xAeSgLRW7a9PUDjU18XtTVcQ319/Pe0XA6ee6eboY36jIMTiewYrmqO+jhOs7nSbJ8PpIsreCYyRnVxKZG9lsrhbqcfC6HQsZDmHeRJMLSeYrGm6jDNbW3tbPDhE47HHyOzMyo+nwlbgZNTCrPm29hSLlW2M1m+SxaCjZBOwfI5Zh3dt01Al//hkQuB/zmN4y5/fpXha3YaONpsWqlwG0fBj7wQYm/9QFbtwjkCxKVCvDqVwJ/+ucSqRTwe2/xIJ0u4ud3SPT3S7z1zbaT3IaNU0VVeYrqaxmSdfAg/97Swhd2TQ2NJZ+XxlZyD48plgCPAGCReOgcGh2eNDvL88aiNFbrahmiU1vH87tdzBUrFEh03C5gfFCFMdXzp66/Vq7QuM7kSNJGRvm5ECRsB/poyDU20TCZmFTkwUOC4/LQqKoOmt3syUl6ncaUUe5y0ihta6Wx0dJCZcR8AZiaUAVfVahXbY0hStksVGFliYYmFdKYAy69lJ4ewIiiTEyyvUPDRs66UKDBdeAAx0rLb0tpCNbBPp4DymjL52lMxuP83eXm76EQSUtXJz0busCt2ws0BFSYngWsW8ex3b2bJEX3obWVeSuPP87xGBs1hLNU4tzl86wJ51KhdT4f14Mu9O3zsQ9re+mdANjGgAql9XqAbduA++7jfJaKnI+DfRzPyckqAkEajprEa1VGS+WseZTQTCrF8zc2sP/pNNdaawuN+WyWxLO7i0TH4QTWruFxhweUcmCAY+WuJUnIZGhclopcG9NTDOWamaYBrGvZ5fNAOWCKE89mKIjS2srPtIpdKsW2BgNc1zrkMhzlOM7OmpwmXSTbsky+oITaMBBmjAPKcz07Qw/t4SMkSLkZjpeUQHOThT17qoCgwT+VItGZSXO83R6jotnVyRDCXI7nW96rcgb3A06VJ+pT4jJ9/WyzLk0wOUWDfnRMCVCUVaijT5H3qvLeuNjG5mZ6+7o6OVcTE/SUFwu8hh73fIGkK502oaEuJ8c/qMhoscDvezz0AjocnCMdDjwxbtodCnIeDx/i2p1O8X4PBHjPyqqR/q9USMZzOdZurYnze339bL9lsUzDdIp/b2/nGnIoU8SyDLHJZozXKxbl33W4YyoF7H6KGx8uF+fG5+Xns+o4SFXgvESPVlXlSXZ3A5dcBNxxp6qjlzIF5rVXM5s1cv9eH9dXfx8QaDDe15m0eq7NAhUv593l4maHU4UDx+P0EE5P85mr8wWzWX4/XsuxcLrZ/3wW2D/I+7e1Zen3j229nWVIKfGpz3K3pr1d4sf/QzUopwu4/fNc4DZsnAi2bhH4yz8X+MAHJe67X6KxQeCNrxfo7RGIRoBv/bPED35YBABs3ABccjHXVrlshzzasHEqmJquolJVid8qBCgSpvGVzTKX5tBhVVB6ggZPfT2NDR0W5PXSkNIFbpe188XsD5jwvmKRu9la+juTVQWaVZibx0sjJB6ncdveRg9Tfb3xeMgqjauWZgpCJHpp6LmcNIBLRZ7f56X3IeCn6pzHTWMhEmHfclkSxn37Vb5Rmbu+84tNH1KeBIAE0OUmkaqvM7WGAn4azl4PxQQqJRqoXh93mkNhtr+9lZ4Hh0OFJrVwnHWtMV1T6dBhkmSPh0a9200DvaTyVZobee6uLhqKuiZWfb0q2Ky8iJkM2xrwc+d+Ltxxmp7JJ5/itXp6ON5aCEaqXD+3xyjXpVIknFrpcPlyFnnW9a+mpwAIk18WCHBs9x/gfE9Pq/pSE6q8gcOEdmVmDQk/coTEtbXVQrFgiKuWp49ElHDDpCoW7iJR8nu5tgAa1sEADfdolH9zu9hvf4BteOopkqHGBv6Lxnju8XEVujgJrFoB1DUwzLW5maG6dXXsq1uRjtoaelRq4vz90hdwoyKTYV+qVZXTpTyu6bRRypuYUAZxlf10Kq/IqlXAuPJ2uOZ5l70eU7IiHifRLJW4fgIBzpkOHYXgz0TCgWXLVI28CO9Nn5cem6Cf15hN83wPP6Jyi/L8nt5YiMfpqczmuPYKalyl5MbN1JTK5cubUGJIzq/XyzVUVt7lTJbrdN9+ILFCidmU2K/6OuY+lsvs98wMz5eaMXLvV1zGZ0Q8xjmqiXFOvF4jTz85yT7qtev1kpz7fRyfkWGOtZaD93oUOXercN6sUolU95zXw/Zks/SC5/O8r2fTSmCnyPtuVoWp6jIT1apSQhzmHG/aZMhOLMbvuFXOVqloQrw96l7o62eb62rp5NBe1kCAn9fWmjqKQvBZJKBy/Wq4wVBTw7WbWG5q7Xk8FCaheAfHuSbOzbnmZo6flHyGzGa5lmfSfIboZ3MoZMoxCMExGBziuMZVZNPoGD+Lx3iPLgWboJ1l5HJ8ebz5jcDffZw31s9/AXzp8wJ1dfbw2zg5XPoCgQ/+pcAHPyxx9z0kXl6vwHveJeBwAPc/UMbERBXRCLAiIfDoYxLvfZ+ElDZJs2HjZFFba1Fq3EuD0OGgR0urounbKhTki1fv+qdSykNRoqHgdJo8ioEhIytdKjNXQhvR4bAxqsplGhYAAEkDN52mgd3RQeNgcspITWulsUyWhlcobIr5trVrWWeSoS2blKCGOn161ggWVKFqU3loyIyM0ji3LOYaeT00DkslGlSrVxl58pYWkoBm5a2rqTHCE9Uqfw8GaGxFI/RGrFghKK1fo8oGzHKs6+sU8ZQcb6+Xtc+GhkiAq1UazvFaypIPj9IrMDDAsS1XaLi5nJwzTShTKWDPPrbrwu28ZnMTz+N08p2dydAbOjDI7xUKZs4sS3lrJI8vqVAnr4eE4eorOJ4uF/tXV0tS53LTKMvlTFhjQAkPRKI09LRxNzmt6uAFTDiX38fcqViUv+usCIfKnfF46QWpr+W86JDaYhF42UuAVSuVx0aN20UXci3p8gVtrSRdVcnQy9ERQ6a0J9AfoILp0BAN8XKJffN6uCaDatMhEqXRnVFrav9+jnttDUNPSyVACpVLVObPkRFew+E0OZKRiBHEGBtjuGlFiW44XexzUyPHtq6W98zKBMlCVXIeolFg40aORXqG91ipxDFzWOxHaoabD4NDXCtNjbw32tv0c8DUhssXaaxPTfH7lTJFXrRXq7sLePUruMbnh3FWqip0M6IUOSPs97JObqjs28d19vjjXMNeH9fK2BjHQntHw2ElNhHnM0DXWPS4TC097WUvq3DhUJB92LCec1RVbTl8hOcfm2D7/QGOrcPieAHq/lMbUy4XbdhCkfmfukZZqchwaZ3PWikbJdpKhblZ4TDXysgYxzYe59p3OU1uqg5vjkbY/0CAeXI6JNblUtEG+j7McN7yed7fOhS6o12FOnu4TmJxrv/6Oo6lLsD9xA6OgZTcGHCpaIlAQD0zinzGjo0xvL21leMU8HPNBfzcEFvWwTWjaxzGYuyjy21qZcZjKjfXx/aFwrw/loLNEM4ihkdYrf62Dwt8/JN8kRWLwOc/DbQ0254zG6eGSy4S+JsPCdz2txK/+g1NrAu3C3znnwRkVeI1rwPe/V6JQkFi/Trgz94nIITA5KRN0mzYOBk4HPzZ22sMTimVAIUFbN9GgycUVoa0lyRJqDwGr48eouU99Jp5vDScBgZpcC/roGFQU8PrtDTTKAyHTbhhJELDZXSUL3eniyFv0Sh3voWgoaBrEhWLJtm9UqHBPzhIMigEPUSPPk6yB6gddocqXJ2lMedyMWdlfJyGkSZK4xPMgWlpobFz+DDbMjvLcEBUaYAPDjJ00kh2yzkyqGXya2sYhgTQeBkZ5XWnUzzfyBjHsFTidV0qRKyujuO1vJfEqlIiuWlt5rhVpdrdnuF4NjVxrLxeGqCWg3M1Pa3yrOaFbZXKRvBBgAbu9DSNsvZ2ni+TMZ6fzZtYt2rdOqrS7d0L/Oo3RnFPCh6bmeXaqaszdewAzqfPx360tPB7Hg+VHyvKM+rzKU9eCeg/VEU2z2PDIVPMvFgg8a5Roga5nDHUR8eoWDeuvHSBAA3WZJKdrKtjVM+6tSq8MGTqkC1r53qqq2Ub166mgR4O0fuQVyFjsxmuj0KB4ioetylwHgzys9QM75OqVAp2oxz/XJ7kIRZTxbsbGF43NsZ7pZDneqgo72dvD7BiBSX5jxzm/TOTInmaneX60cWfZ9M85sBBVWDYb0IKoebYslSIp4P5guGQ8eLOznJ8tHcsHuc9v2qVIQvBIEXfWlqMYubIKMmuy2k2aPw+XtPrVmI2XTx/30H+DKkcvt4erjOvysXTGwI6xDCrnkEut1II9ACQJDIzaa6XS1/AZ8umTVxrljD3LwTnVwutxGtIyHq7gS2bVcihzxRm1s+TVStJzEoqD7OhjudqbODn2RyfDS+8keI6hQLDdLW3tHMZiafTwTmtqBw7reKYTnPuvV7MlSRIzbBtIRXWG4/zPhoapgfO6eS94vWYgtrC4uZKdyeJX0M9x306pYrLu8261WUAOtrpPZ1Jm3qGXjefte0dvA8bG83zVa+d7i7O+cOP8Jq6jMfEBMd9WYcKgVbexLAiuX39XP/NTUu/f2yCdpaQTkv8wXsl7vylKk43Stf4Fz8v0NNjD7uN08P2CwQ+8mGBj35M4v9+QtMnGhX45Mf9eNc7mT/xqlskZmclWlsFRkYl3vZOkjYbNmycGIpF5nkeOECPUkc7xQfGJ4DsLEPVZmZoLOicjWXL+FNKGs5Dw8yliMf4QvZ6lVqiyl+pqLwJgMZaNqdEIoo8RifA19Vxl9bvpzFSUuGRbg+9Xi63KXB84CC/39hAgzkUYs7U9LTxxtTV8byWRSNo43oVWpdh+1IzPF9zkyoD4FFtPETjWOeO5HL8TjhEz0mlSgIQCfNvncsAv1/A5aTBvWqVUTJsaLCwZRPDCZuaaJS1tNAz5bDYRr+f/9Jpszu/fz/LAmhDWOcmaTn0C7bRoBobVzXVlAcil2UoXixKwyvgJ2HUBY0DAWXQCfa9u0v9XqXqodttvF7btnL3PTNLQ7lYZB9iUTVnfmD/Pv49puY+PWsMdY/HCFdUq/zexg0kRsKiN3ZsnF6sfI4EbN0ax5xMf7mi1l2eRvPUJEMUk3vZxgsv4Bj6vFxPKxKqeDVopObypnTBTAq49z4V5tWilEZbWa+qro7F2QeHWKLBctBgLZVJTnWYVirFtuuQtkCA47F3H8ewvp7XrVT4d5eT/9paOXculyL6Y2yHVsoMhjhmV17Be2nfAY5VY5OpnaXnPRYz3lrtvdMhmrGYEjGZBAYGq1i5gnWzvMrzK6HESsa4ttJp9rFU5FhD0LOzdx+v0VDP9rvdHKOBAc776lVK/ANqrIoMNS4UlIhPhde0BL3qDgcNdinZ/1iURGVoGLjkYnrXdI5ducSx6ejgfaDrmq1bx7Xd081jd+zketFKgvmCyXVsbDSqh3W1fD643QzrHRgw5R8Cfq4RgJtGUyn2SZPEYAiIxwUefYzroVzmhs2IepZ5vGxbU4MqP1A0RdX12Lhc3MCyLD7rpNqUcKoNroC67x3KixwOs0C7y8Vxi8UViWrjPMeizKPs7lKhzFGOXW8P15J+zqxeyQ0XXc5kYpLPcr+f5HFigpsJQT+vV1/Hd8DwML+jPXSjo5wnt8soQVoOktAa9cwMh0lYOzp4zEzaKE4+nUiIzRTOAqSU+OjHJHp7gUxW4ou3SwgB3P5F5gvZsHEmsHWLwKc/IXD7VyS++S2GMQohcNOLLPzLt/hwuv2rwMyMREO9wLf+kYI0u5+0Qx5t2DgR1NZa8HppOOXyfOnrosrxuKlZVV9HQ0HL2BcLNOCiMZ6nsZEv7skJ/u50GollLQ7h99NrVVsDoEoDq0ntsMbj9HBMTauEfScNiEIBcDkAWeFPh0Uy1tkpIASNzZjKdbBUSFk0grnYyVCIhguglOUKNC5KJRq9Hjf7NDxC0gCwbV51jNttSGImS0NFy4n7vMCWLSqXTO26NzbQ26UJIQDEYgK5nEBHu1K4m+D4bL9A1R/zq5wYL48vqbw+j8eQyVWraChNTjFUrq/P1EQD+Ld8jgapy81xXJlgGZPWVuCG62lk53I0tABTt6qxiap+loMGVlMjx29mhqSnVDZ5Slu3AC+4mLv1jQ1sl9fL8ZiaJokZGTFhah43v1cskPQ7LBp5mQx343Uxb6eL+Y6FAklcSwsN6UCQbZ3NKA9vxsj5F4osuu1yAVdfrTy8bqNG19ai8gpzbJfO45mY4nVGR/mzWKQRnVjOts0XwBgb4zktYfKZXC7mivUfIjkQAnhip1ZhFLhgm/I0KKJSLJl8HZ9P1bNzsG9C5RdVqgzji8e5/vJ5Et7GBq65eIxrsFQ2deZWLGebCwXenwEfPw+HOd67n1RqiSVTr09YxntWLilFQDel6JublAcKXHOjYyQjLhfP39SoPNF54xHv6lQCJTlV9BgsyVAqcf3U1XHDZ3kvyXulbArUx2NURZyY5Jz7fLzvtJJsOMxNo55u4IknTJHzoSH2+dAhzkF9He/zZcuAl94EXH0ln0uzGZLuhx8x+WWWUCUbqmy328Wfjz/B+0cIznc4TO/q2jUOOBz8jhA8bzAACGnCUzeoto+N817WodARRS51iY5cToUGO0m8fV56bCMRKlpGwxyHN79JoKeHhHbgCO+7qWn1HBPctAkGKYA0OcV/E5N8Zu/YyTXb36886GMkgPrn2jXA1q2qbbUcI5eKnIhGSH61l5PiR/Six2JUbtTj09PD/kxMkQhWKgxhdbsUaW1WHr/00u8fm6CdBfznj3hj3Pp24EtfBn76c+D2Lwh0d9nkzMaZxZrVAl+5XeCnP5P42CclSiUSr9ZWC9/4msA73wa87Z0SDzxYhd8vUChIfPbzEiOjz3DDbdh4FkB7P4olY1wPDHDnM58naWpq4g5pKMAXu8tFb0EkSkIQjdJYTKdpeArBF/jllwJtbQKpFHfCtaqYEDRI/X4eD9C4+fXdNIy0gEZjw7z6WMogERbDMYeG5JxEty6unVGiG4f6uUusE9+jEeMJ03kogRBQV8PPdZ5IVZEdj5ceqs4OXlurEUoAO3YzhE3XNNp/QOfpSJQrNMCKRRLWYNCMc3MT35naq1Mo0NCcmFTFbbNsY75AD09jAwlsbS0N3aEhjk1bizqvoPFToxL3J6doJDldDM0KzyOmwlIFjlWuXHMz/+500JBPJmkQa6XF4VEjQALJeaxXXrdHH1MS5j5eM5UyIh5dy+hNTCxXohQ+GvATU2yDFovRoapuF/vo9bKPkQiQz/P5Pqx27Zd1KC+R2uXXan6pFL1Gy9pJFu76Jed3zWqOb30dPVFCkGQGAkrJr45krKOD3qVQgOMWjbKPXh/7dvGFRqhDb0KMjHL+2trEnNKm08m2eb008GVVzoXNxaKq3lWKfVu3loa5ls/3+ZQARJ7zEA7T+G1W4bXak+nxKm+M8mIODZNo+Hxc/0ND5p4V4GbI1i3OORXJ7duUx1MRO7+f7V650qz5ovJAXnk5PWTNLTS8A36ur/5+rq18gZswlbKA02XIoGVxTn0e3gO1cT4fJiZ4LwYC/Ft9AwlCZ6cSBErT83TfA2xHqUQvVXqW81musF+1tSRqxRLHqKWZ7alKs9EyOwv89l7g3vs5Nw4nny/tbVxnfhWq7XDws5lZU9svX1AE3s9/yzrY/sFBSXEiF/u5dTPXeWMjcxhHR0lkW1pISkJhXkeX8mhr5fNzy2au3Xyea0HnqzrUc6eni2M0o8Kf9SZVOKxKVgSMqND0NO/D1hauR7+ao5FRrveZWRK6bM4Urk8s54ZQPMbQx1CI5+nqZPt0XuXQED+PxQQcymPf10cCNz4GJBLKU+w1JFMr5gZD/H46TW+3gKo5twRsgnYWcPWVEm96I/C5L/Dl9/WvCXR12uTMxtlBWytJWl8f8O4/zCKd5kvc4RCIRCy89hbgIx8FfvDDKh57HPj7rwg0NgjceZfE+LjtSbNh43iolBni2NTIF3Q0amoXudwMP3O7GFqWL6g8J78yIFVoYkmFslgW/11zNbBti8D4BIlUTY2S47aU+lyeRvDYmNmx71rGXdv6Or5T6uq4u97aQklpnwqbXLUSGB+lsaJzSNat4w69z0ODOBwFVq+mGp/DoQiYm4QrGqWhnM+xsGt9HQ1a7Qlxu3mtXbvZJ60KZ6nwr9o4DeXEchrNzSpfzecXSCtRgY4O5qhh3isxl1f5dU4TIpbJcsxDQRrzwjKFbHVYUS5L4xNgG8bGVViTRdI7Nk6DSKtLFoskWFIq2XFhCh/HYjT0CgV1Pge/4/Gw35A0TP1eGnb1dcCBPoFMRqBYJCFcuYJkub6OfRgeZhsjUSV40M7rBEPcSQ8EGQo1Osp2Dg7T07R6Fa8ZDJjxr1SAm1/swcSE8vIJhnp6VSjZ+DiN5FyBBubWrSo8zMnrhMPAmjUkzAcOmjC2wUFTGHtiUhfEpjpjLq9qh4Hj2tTIdjWrMLE/ex9FFSS45pxOYGxMYlm7mdvOTuC1v8uNg1IZePAhFdIWV/mMzezfrt1sw/g4yeq2zSQe/oAhY36/Kbq+Zy/P39xIMq3Fe7o6ucExpDYO2tvoAXU6ObdVCUxOybnQyEKBRG12lmNy+LDxqJVV/tDAIMesr59tHRs1eaJ6vgC2Q98n5RLHNl6jwnct1hcrlkgOJicZvtiqQvxSMxQx8XgExsd5/69ZzXw7j5vjK1U4rNPBsdTkf0UCqK8Xc4WvM1nmYLmcJOIQPC4cUptGEXo8W1s555bF/k5NGjGdiTESZMvBZ08oSHVFn59tnRgHVq5wwOFU92qE+a179tLj7vEwiqBUAg4cFKiUuWauuIxhxoU8895+5yUCff3srw7H7GgzmzyNKqRcgh6tfMFseGgRnWjErLdYjOMxNWkEaAYHuJntUOGHlsXQy+ZmzuGIetaGozz/4CC94JdfJqhyKTlfWjWzt0ciFue9NDHJ+8LnY7+qVa5hWVXlVBwmPFVvqIVU/qh+vh8PNkE7gxgYlLjto1Uc7ANu+1tgxy7ga18RaGu1yZmNs4tYVOALnxUIhwXe+jaJ/QcM8XrhDRbe8HqBr/498MEP09OWTkskkxJTU89go23YOM/R0kKVEJ2Dlc+r3dAAFdESy2nwORw0woXgzuvefdzldqqww2DAhDj19yu1MeUhKKmk89YWGnLLe3juaIQGwVztMi/PqxPz3S5ThDaXN+dPJJRaW5AGQn0d/+72cNe/mGdfauuMMRmN0JAbG2PuUkntxFsOkkddc6ipgX2Ox2jclss08qBCo4JB7grrQte6oHUhL5FOK+GGWRq+lbIZ53JJham5aag/+RR3qp0OnjscUeGJytDeuoVGXCjEv61fR4PK4SDZ0YWY6+uNIe1yK+EVtaOdy6k5bgZ6ewVcLhKamRka+cUi83LKJRJEns/Cm95Ib2W5DFxzlZgTYomofJ+RERL3aIRhZaUyCUBTE9dI3yHOuxYoCUdIYp1KkKZS4XrbupXtaG83oYhVSBJqlylw7HTSM6eNPp3zUy5Raa9cJJHu7WFhZYfFNVNXR8Na5wO2t1NwYWKCuZCDQ8qjFWVttpfcZM0JJezZy7FN7jX5Yu0qJPeG64BMRiAaJamrVAR2P6kKk7vF3KbFyAiPcblpzOocnjUqrC0S4ZrP5WjgTqeA665V3rg8z1EoGpVBh0XjuKnJbGZoL8XF23nM8AjnY3i4ipIiYTt2knCUy2xjMEgDf91aYHmvwKpVDIdN9LKfHe0Ca9bQCPd5SdozGc6dJv2WZbyqMynmKrpVOGt3J0mAlt/XeWKRCMmIEFyzK1bwfjxwkF5Kvx9obuUmgPb+ViqAQzCvCeA90trKNT06xnvXElyf27awrFMoyHE+dIhrsKmReZSFgqonKJUsvcqv87hIUB0OkhOHImyRCHPQLlLeVAiORVcnRUq6Oo24UE2cfdH1xWYznLNdu4HHn5Aol1QBe+X17FThsrkcNzmKBZ5j9Ur2MRIxHmcp+azSRdp1cfuq5Ni2tap+gZ+NjtKDNp3iRk8uy2dRapqkdMVy3o9rVgF3/5bPLSl5P/V0c/3NZrhR09xkvGytLXxOj49jrpwDwDXpcpmC6d1d3HgIhShstBRsgnaGkMlI/MmfSZSKwAf+ijfTd78N1NbY5MzGuYHHI/Dxj/rwkpsF3vluiTvuNCTtZS8VeP+fCCzr4MP6dW+SWLdWoLdX4L//V+LOu2xPmg0bRyOvRHWuutKEumRzQDpDw27FChoFsRg9DsLii7imht6k3l4BCVNbSEvhHxmgoVffwM+rVYZhuV00DNs7aJxWK9qgBHbu5PHFIo2AcoUGX+cyHtPcTC9Yc5PA4JDAxATzvPIFwZpbKSMPLcHnRX2dCr1UHhqdQ+TzKgIH5oGsTNDr03+YfezupvEzO2uIYSbLftXUAK9+Jf82PELCU1srKFWuDOvGBpPHBrCvA4M0xFuagd+5mQZYUyM/93mNuqLHQ09GKERjaXgEuPseYMM6lrOprWU/q1W9sy2wdg3zV6pVztW6tTQQhQCamgQiYVV/SYmADA5yPOvrAL/yPumapQ89xDbFa4D+fom2Nu60h0MkLsLiWB0+QtLg99Og1Opu7W00qLVgQ3Mj512HdXV0cEwPH+GxXg/JKwAMDlTR0kID2LJ4LQHMeUiqVeOtFYJiCxvWs/B0OASsXSPQ1sbPNGHeugW49mqBQpHzsGE9PbHRCD0cF19Eg3znLolq1cjG+3yAzytQKnPcBgfZ1ljMwooVEi5FHN0uQwgB5eXL8e/FklJpzJiac9ksCW04zDDbcIhetIY64Cc/Y/vCYVNvz+FgiJ7PbyTnI2ElaiOAm19sVDMDQeZqbtjgQG+vyceLRozSp/aabtwAVCsSsSjnxe0GLryA79BAkOtz+wXAtq1irq6cvhd0aYTVKxnWVxM3OYdT01xXulSCfvNu2ggsXy4gANTVChTy/Kylmc+GSoV1C4dHuIZ1rtp8L0yxaEJK16/nWmtsUCIlReDIgMS+A4aIrl7JfkZj9OSuWqGk4P2m/lx9PclpSwvv93ye7Q4GgfFxbvJGIty48Xg4fsUSCaLDQRLocHCzQnsp29tN/mEgAFx8sVFFLRSAe+7hMc1NpoZYsQQ89gSfJyMjfI7ouRcqOqGlheOVSqn7bZI5cDqUMLGcz7WAj8SsJs7PggESUr+ffUtNc77b2wWCQbZxwwYWum9r4wZUVZraZvv3s79dnXxu+H1cH+vXca3eeD1wwTaG/g4PkRCnZxnJsBRsgnYGUKlI/PVtEh4P8wQKReA73wKiUXt4bZxbCCHwmlcJfPQ2gc9+QeLTn6vOKTdefZXAl78o8OEPClx/HfB3n5C47W+riMfknCFkF7W2YcOgJiYgqwxhvPE64E//mC/bWmVM3nkXDUW3mwZ1sUDjxhKYC+Hr7dHKjiwor41qLfUNcHe2tweIxQX6DwGHD9GYn5jk5zqXp66WBqtX5cusWkmhC5+P5wyFxdx1wyG2Kx4j4QsFSdJamvk3Hbrp9SpFxXplwLoEWlrpFWhoAErKG6XDiPbsoYcoFGJh5po4d/Xr6+j96OkW8HqZo9HSzL95vQLxOHeyBWj0OR1m87JS4fndbnov8gUawlrLKBBQ3haXUU978BF+/+UvJ4GzLM6Ty0Vi3N4mMDLKyJbpFFXYnA6Tb+ew9LUlikVD+KRUKpANrFF10QUkk8PDbEy1yjyt2hol4jAB7D8gUalSZEArSuqQymKBRt+RAba7WKIhu3kj0N0l5gQztOfCssT86E9s3CgQCGp5fIviCIOqFID6oiXYJy15H4kAoZDAtPLetLdxnVQqkgIJKRrCV15O0r3rSYnZtKlbVVvLdXr4CEPD3G6B2VmjGikEUJUCieUMpd+2lTLvfr+6b+ICHq/A5k0CxZIpBwCw7zU1NK4b6tlWLbjg93OOXnITsHaNRa9lA3ObolHO2X3302NTV0upei1t7/UAr7+FXo5sjmQAIJGIRoGWVuORnZyUzCVrIrEvFNmGVSvZt737KIxRVyfgcjO+d3oauPd+ifsfoBc6kyH5mJxSXmQ1H1s28348fNgQkNWrlMpkXKCpkcZ8NmtIqxAUkdix0+QYDo8A119LI3/7Beyn5SChSixnX6QkYYgpAp/L85nR16/Kdyhi2NjIjZaNGzh2OZWD6vEy97O2hp6mSy7hvel2cc7a2jkuLpXL6vVynHfsoIe1t8eB6WnWXL30EoE9e0lAa2tUva8Onmt0zHiIOzpIsuM16h7r4OfRiCrsDt7PXq/arFKESHvldU1CraaoS4w0N/G5tmolbR2dCzw0aO6lyy7lptWq1dyosizO/dCweTZu3sQNlMOHeYzD4nOwvp6etoP9QDAoEArx+PQsSXg8xrmaneV92NTE+6dQYETA5KSE38fvXn45P9+5E0vCZhBnAL/8lcTEOBe6ywn8w1eA2hp7aG08c9i8SeCfvi5w6BAWhDw6HAKDQ8B//zdw04v5Mna7BVYkgHvvq+Iv/somaDZsaLS2WnA4aSyNjTO/w+kUaG+nQdDWoghHgzHwM7P8riYXN1wn0N1loVqRGB0zhvWqlRQo0IWHI2EjENHcTIOptVWgo00JQASVOtmMES94MgnUxKWSrCfZ0EZ7pcJ2T03RS6PzmAIBEqaQEtNwuXi9cIhGSrHI623cSAM6k6F3TBdV9fl5rbRSSYtGSYxaW1S9OKeYEzrJF0gm0mlJwREtzCGMtwGgZyGiCNpMeqEXaO0aMServWE9vZabNjKvLhIB2luMyEE4rPPUzDOvoZ7zsiJhlBj7+o3wiGUZz+RMSodMsnZkc6OAz29C0Nh4hiq2NAMXXyRQX89QyGyWxlmxqLySFgnvdIriAoDKSxviWnkyCRw6JOH2CKxdI2A52I6LLyQ5aqhn/mB9HUjeBNdKXpGDqjQEjUmCRto+leKY19cDrW0ck8lJGrm1tTTc6+u5Rjva2e54jESjv59eqKEhGuc7d5M0br9AoLFRy+ST7N15l8RsmmFgncu4pgEztyMjJkdT54xddaXy6JTYpnIZuOJyrh+3m2ISpZLA+ITE/gNcY2vWsK1NTSQb7e3AK14m5oqZl8smH2xwkHMYj2t1SIHuLhIxr5fftyySZYeT6zQe49rYsVN50yLAyhUCfr+Yq9WXzXEDdMN6EvZymZsel70AcLsE4jET4iiEmFuL09MMBXWrXMnlvSTUba1YoOrd2spNGqHmcf06hjcePiLQ083+VKuck0ceY1/a27ketDpsJEziv3IFN1r8AXqH9uwFmpstLOsQePnvcGNmdpbrNJXiNXt7+QzQReBLJaUKWgF++1t66rS3qrlZFan2cFOit5cbAonlqk5hnO2cmFAlFJymRtuBA6oWWZ5tdjrpvYvH+d1QEFi/AbjiMoH7HmBtwUqVGx1r1/DZo8sONDVy3Xi9bNfOXcDjO7mBFA6TGE9Pc64BiqT87BfAzh18nlkWn+ObNpO4TU0DNTUWuru55gBTyy2TUeqxbs59Rwf7unkT79G2NpZTmZnhOh0c5P8BjuW+A/SIdrSbvLV4zSIvnXmwWcRp4qc/q+InP2UIgcMBfPbTAh0d9rDaeOZRWyvw2U8J3HC9wDveJfGDH0pUqxLtbQK3f0Hgpz+jUtemjcAvfwXc9Svg3bfyhbFrty3Fb8NGT7eFQoG7tJmMkbJ2u7kDW5UABHNo2tto2DldwPq1NMAAGnaA+i5MGKTHIxAKCThdAn6/+Z7TxTC0UgkolSTCEYbGDAyq0KQA5rxk7W0M4QNoQJVLpu1NzTTGdZ0svfPsVjlHbrcKBaqoHBGVU6OJYEcrYDkE1qwyOS+AkZLO5UhohodJ2rq7gdFRMUcSI2ESNCE4Ji4X+xgK0YAV816T2SyNRV2vDOCYd7QDu5+UyOe5k53LARdtF3jdLRbaWumVePBhGkxXXi6wdQsJHMDrNzfx+vV1VFG+/loSreW93IFfkaAhmM+zrSVl6DsclMv3+yUef4LEUueUaJPa7WbYX6lElbnpaRNuFgiwv8MjJl+mq5Pn6eml7D7nUUBAYnJS4kU30mPwVJIGbTQKBPwWPB4a6O1tJNuBAAmdEMwr0g1yWNwocCoBDpeLxuu2LdxYcDiAC7ZZWJGgwTs4yDavXAE0NAgMDXPHf/lyelq6uoBLL1l4PzQ1Clx1BbAiIQFJT6KwOKd79gLBABujC7xbFnDZpQJbNjP8DABm0gLpWRrlDievFfCLOan9SFgVDM4o8uwCWlssNDTQWNdhqtMqjC2bo3T9hvVAJCqQyZj1WlPDcdixS8CCySG99AVOpNNcG36/yp2sBy66kJ+73MyvSqUk7ryL52puFti6meOt67c1NnKDUwhFEgTHQt/vLhXGqeX63S6g/5DAC1/I8wlhcqe091YIk1vq9QBbNvG5I9RmivaeFoq834tFswaCQRJvKhpKDA6SFCzv4edHjgBPJimWkc+TmG7ZrEI0BYmxLqReLBrhl3Vr2Y5C3hS4L5aAg31VHB7gcwQwGxRHBkyJhtpa3leWg8d2dPDammC5XALbtpH0aY+UVj9tauT6klKJq2S5AVSpGCIrodQS3ZzLUlGXDBBwuQQaGsyc6Jw/y2lKm0QizFFsaDAKrnnljQaYJ9bTzefR8DDJF8smCORyzOWbnuaa0BtQObWZ1VCvcjxVtMTEBD1z2SznMhqZ7ys/FjaTOA288S1V/O3HOJHf/bbA974jsGb10gNuw8a5hGUJ/O6rBb7wGYF//w+JP/gjiSNHJDo6BL7yRYGRET4sLrwAeNUrKGjznz+q4pOfkXMPXRs2nq+IRgUsizuhNTUCV17O57sQzBEZHaExPD2tVb9oKOj6VIAJ7dFGa3cX0Nho3hN1yqMBGON/926eU1aNQl1bKw3TmhpTZ2l5r0BNjYCUZkdbfxaPmlBLt0tJknuAF1wssGa1USXTIgW1Naqem1MgFqHnpKEeSO7hJs76tQxX1HkpkQg9Jr29Ai3NDLu65CJ66YVg/samDUrCepuTJMthwrEc86yPZhUKOTo6j2QKAZcHc8aY5WAeiNPJUTrYR6N262Z6bx56BPjtvVSLFIJ/GxyiV2DDeoGuLpK0TIaeCUCFEwrO3dbNRoJeCIZplkoCmzcqsjWs2u0UeOnNgMtlobWFYzQ1Te/Hi27kd0olzldHm1GKdDqouDs2SqOzZZ5AgMvFMKuRUe6uO10CF2ydt0bqaLh2dVoolSR27JQUX5i3A+90MXemVKb3x+ViqN4DDwKXXULCVyiQ7PZ2k8AXisCP/4ciLvMVDatVGuNHy4Bnc6wfdvgIx6G7WyAQECRNUVM6QQgBt8us/cZGMae2+cQObnYkEvQWhkIM6fR4lTLmQa7F9naBy5TYBMCwyRUJtm02bbxdsRiVOS1LYFmHwPLlSlnU4v3hcDCs0OE0Yj133FlGV5fxKh84SMLq89H4t9TQl+cJ2UyMSzz4MPD441yDoRDJtJSMTR0cIpHQocD1SgiipZn3SjDAdd7bAxzYD0xPS3oaFSl7Ygewbz/v16kpbpxEIhzzNasFFSiV57ytlR6imVmOT6OapxuuE5hJi7m6a4UC16alwonb24GWJob06tqC2pvt8fA7sZjAyhXzymp4gNe8ysIF20jedO5gSxNDQAt5E344MMgIAoBrJxDghkIwyP67XJyThgYBtxtYvZrPrt/cTVIlLLbphTdwHjJZtq+ulmHiOmdL50LecL0FITjntbW85y+5GFixQswJgwQCYi5XDOBmSU8Xn0u9PbxuXx83qIoFjsHwKL2/Lc187rvdfA80NprwbsAoivb2MAxVewUdDoqNZHNcQ0IIrFvL52V9AyMnLnuBgBBLb4LbBO0UkM9X8dd/U8W+/cBllzEcg4nhNjmzcX5ixQqGPK5eBbz59yW++z2JeBz4yIct+P3Ad74rEY0CuZzEnb/kQ3bnbuBb/yzxiztsT5qN5yfcHoGuThYcllLirl+Ze2HtaqrKQRrvwPAId4l37aaRDhhDRxOSgwcxV68QIHlYv54GQGurSnxv5TndHoFyRYXKCHo6tl8gUKNIzi9/JXHgoITTIdDcRANRC1Pt2WcMHGExTyiTAdwuCa9XIBLh7xOTDFmbSZswrOYWLT4i4HIzlNPlEhgdVSUHIiSrvT2szTU4SCOvv5/HCxV7NzVF42cmLZHL0SOmazCKea9Lp1Ngy2YLy5ax4OvWzTTuQ34adh4PyavbbQ66aLvA6lXM92lu4t+Wdcg5Fcc9e7lLvv0Cc4wOmywWzfxo+P0c52LB/K2nh9eORZUqn14XLp4zGhUIBgV6e2l8e700OL1eeq+WLxeoSpKedWvplUqluNueVCF/Ho/AFZcLZLOGGAAmRBagBzAWBUbH5FwZgLk+qWN8XhK5V7yMO/46PG1gkHlpo2Ps/7YtAps2ARvXkTCuX0tiumWzkntP0VOVzdGjcs1VplFXXQEUigKHDguUShK/+o1EekYikyVhcDpNu6JRkmoAuPOXDO/VqFYpBLF3r9m4yOW4sdGowu9GRyV+ey9DHHmMxIqV7OP8MF4tPKG9F5Ew53b++lqzml7Inm6SwNoalqUR4Fpwu0n+Ad4LLS16I2beQAt6UbZtZb9mZ0kkhRBzobgOh5i7h6TkBouskiivXsWQxvZ2MVcH0OnURZ7Fgms1NpKMjo2TEDud7KMuoj45xTUUCQN+v4Dfb+Gaq3j9q68ELtxuYe1qgQu2CTTUcy0CahPHSzJfLHJjYsFaUs+oYMCI6ETCpv+lEuvDXXEZcOMNjNLZvNHkHq5dI1BbazqyvJdkZHaWXimXi9dYv07g1rcL1NWxzS3N7GOv8vRlsxLZHD1RVZXb+buvEmhrZQPXrDHX9HpYyqGnm57HgJ/X1zm+WmBHr7vxCd4bI6N81rzoRgu9PZxbPR7Le3nvr1op5p45TofJ3W1t4f1cUyPQ0c4yIpNTFMxpbNReXoZ86uN9XoFIhOG2O3eRzPV0L03BbIJ2khgcrOLGm4Bf/wb44z8EbvuQhdu/wIG3YeN8hscj8Pbft/DFzwn8/BcSb79VYu8+KnNNTjFXrf8Q8PnPCPzeWwU++SmJBx6UCAYlKhW+jKtVm6zZeP4gn6c4woXbBZqbBMIR81k4AgwM0egJhxgC5HLSON+4nuQKMKFxDofayRWGtAEMkzsyQJEpv5+hdcEQPSqpFO+3Ky83BkdDvSFSa1Zz9/yyS2l4VKrMawK46+z10PBYvYoGl9NpQiklSAS3buZO/VvfIvCyl7LNba0Wrr2G/1/Wzp3tFQmV2zRLw6UqSVC0XL3LJZA/ijxMTDK0y+kgiRkaVqF9WJiDpuF0CliWQDRKYupyA52dAk4nCaX2wgAMQfP7BR5+lJ6Miy9kn3UNsXVraNjp9gE0OB1KaEF7DIzQhqBc+zySEYuydImwjOcOWEieAGD1Sgsvucmam+NIhO1+/AmGAjY0UF7/yafoBahWjdd0/TqJhx6mJ6Sn21zD4zXnb28XaG0VmJw0C0fXjNKCMdUqd/Of2MG15vNxPZaKwMOPci24XAIeL439Upl5auEwBT9+e68SXuigjHx3F43Q+bDmMUing6p/Hg+l/UslLJj/iUkSW7af89Lext8b6pl/o0NgIQCvm2PQ2iLm7o/aGpJCgEb1j39s1g/AzfFMhh4cHZKWydKAtizjkQaAri4LN99Eb/Dq1U5A0AsWCHB+ikUsiZoabtZMp0iKAwHjwZxPrPV9+jsvYb6dZfGaK1eYBb9po8DFF5pxAsw9rYlmKsUcu4sv5IZPTQ3Hc/06nm9ycqEYkYbeHGlpYZ7p7Ky5xsQEyeLoqAoN9C3MB9X3QiptBEHme59SM0ZB0eu1MD1Nb6ouM9DfL5HNmpuDAjE8abWKubDS+e0EuHHjdBphF03KPV5uFAWDJHMaDQ0C8Rh/zxfo+WqoJ9nTfWlv49jV15s6dddda2HdGvYpHGIERKUi4VQRBss6+L1w2PRJIxBQ+bEpU0cRavhzOSCXVWJDQSX+IrhhAxhpfSH4DORYSuzda3vQzggqlSq+/Z0qXv8mhnH89QeBb34LmJiQaKi3yZmNZw8SywX+4asCl11KOf4v3i7x9t8HXvdagfe8V+KBBym7/C/fFli9GvirDwEf+ajEf/83yVwqJW21RxvPC0TCArEYd1tjMRIvjWCQ4X+ZLF/mTidzxTasB6ZSQCwqcfWVNIoBzO1Au93GGANolNbXAatXUe79rl8DA4MCy9ppgK1dDdTWWliziiqQfr/x/sRj8wigRUOrpga4aLuqs+ZkzkRzk4DTSQMksVx5fyLMP8kX6E0AFhJHbYzvfgoYH2MhXL/f7OI31Ats2Szm5N09HoEN6xe+C3u6GSbkdlOGvqmJO9OAMXCOh1UrzC45wB3p+b9rXHMV82xzOeD+B43B6fNRDXJwnoqbZbH9O3cZxVptJ0rIubpq87Fxg0Ci1/SrrXVhaCEAHDos8cijzNvVohUulxExuOU1AoWCwOgYw1d13hbAsfF6jNiFJm56nDWWtQNdXWbQXCqEUD+JhQByGRqI+vdsjmvtpTeTNFarEk/s4Nw2N3Nt79oNTE3yLJOTwMiIVAp4YsF6OBqBAI1Ot4cb1K94mUA4ZMapUjFFv8tlVVdNe7kibGc0wnUrBNDcIrBuDefR76eRe9GFxjvt9Qq0t5ki3XW1ytPcbHLRAGXky4UEACAZzecFjhwBfvDvBVgWDf9yGQvC9OZj/ikmxiV27FL5TSovSnuMnfPWjF4/ra0WgkELkSiJ8vzNzV/fzc0fl0vg8st4kc5l9AT7lQcoGOQYDQxijlTU1wMXX0iiqAmDWML8jKucTqnmsaVF4AUX01PldpsND4eD687lIglsbuKGTKVytCeXzxtdu7Gn24FgyNyXM2mTx7ms3Sh3XnoJ55OlBRY2WEqJHbsEtm8zYcRCkGCtXkWiePR9H4vy2aMx3xs+t+FicQPHssScx3v3k9W53NN4nBsT5TLDW+tqTQ6p36eUVWF+9wcYUVBXy/GKRji2+lngcHBdX3QhPaAOi5t2mzcCXWqTSQiea/06hl5m520eLQaboJ0ADh+RePutwD98gy7RdeuAv/0Y8Cd/LOywRhvPSjidAq+7ReCfv8l6Sbe8ni+Rj38Uc2FLTifwzrdZ+Odv8UX+kb+hbPM/fEPie//G81QqNlGz8dyF16vyKPwkab+5m3+/aDvzgW64jp6KjnZ6G3I5wdChKeY4zDdGdO2p7q6Ff/f7TRjN2Dj/1t1Jr1goLJQ6ncSTT0ks66BB73Ixj+y+ByjLLwTQ3c3zeL28zv4DlHwfV+fctJFFZbUh6nQK1NfT4GhuZvL6wDwyo9HUyLwJgPksWhHtyBGJn98hF4S1HY29eylXnk5XGf5TT8/X1Vea3eX5iIRNYe2WFmHILbhTfzRp0W0qlejhuOIyk1c0MEgjr7d3/hwwH8nrmb+Tr34qV4TOkZuP3l7MeTza2xYSbIC76hOTPL/2xEQipq5ZQz2N6u5OktlslsZ9exsNyRdcIhCJMpx000ah1D0Xjs9MGgu8E6USw6S6u/j72rX0vOq2ZbPKUxAG7r+fxq9liTk1w5ERYGRU4NqrBUmz5HcB45VbbG67Oyk6sX6dwH0PCBQKXAMOx7HzqdfzdIpj1FBPQu31co7yBZJVIRiiGQiwxEE6zcLGhw4L1MT1eSWERSO/q5NhaJmMmAsF1oRfStar0rlh88drYpIKjLW1FiNHJqUiaguFcOYw7/holLnaba300mQyFMcBVKFmLD5mLc3Ml5yfz5ZYbjxTzU1ct1u3WHjly80FBwfpce3r5zxv3cINjkcfB37+C66r5qZjHGgLYFnM3dJy/oDKs1Ohl6WybrPApo1iTl12RUJg2xYKnWSzZijyeVVsu8ecLxg0YYRr19D7Xa0yz2zlCh1FIOaKzB8zxEJg7Wqz5hwWNx6cToFImAIzmzYev4+hoMml030+HgYGgHvv53xMp0gcPR6BC7cLdLSLOdXF1lZGTGhUqzzv0JDEmtU8xukUuHA7N7lcTqhabALLexkW3NUlEIsJxOMLZygQ4DNxeFguuQEC2ARtSRQKEp/4dBWveyNDvy67lJKq//Rt4DOf5EPVho1nMxobBT7yNxY+9JcC//p9ic9/kTvm//kjibe+XWLffonGBoH3vItqYv/9PzQ8XvEyIJer4pW/KzE9bZM0G89NlMr0KlSrDK3qUCEwQtBY3r+fYWnjEzQAN26gx+XSFwiEQgtfr/ptcTzPkfaoALzeo48DXg+9GYEADXy9w1upSOzcBWzZLNHWunAXPbkH2LGLKnFen5jzQMSiwP4DYk4uX2PlChLM1avEnHdtPq68woSqhYKGwASDNJQjERaCXgy6ILHbTaKoczyO3kXX2LZ1YbqA/l9rC8dkavrYY7RoBQC43RbWr6Nxl1jOGnaTkwufT3V1AmvXigUhi4Ax0I/OTQNIPrRn47f3GiW7xVBXR5XFhnoWCNdGX3cXjbZVq0gQ6+roGZCSRDczK+c8HaHQsePT0QF0dFhzIX5trTSMtZHncvLZLJTn0+9X5Lqe467XV10dvQo93UCiV6JUNl5Yp5MiDnW1+vdj29HVxXDLYJAS9E4HQyuXwoUX0GM3PAzcc6+c87rm86rmlYfnEMrLvPspVf6haZ7BLbiJMDvLsfT7mTdZKlFdMbGcX3vZSwU2b2SZhPmEIB5nfpjfL9DexpMGg9zwCAS4VrXYxmJwONlngG0Lhcy9MP86R69tXSdufv7k/DBNHs/P5oeQbtsKvPBGhnge7AMKBYE1qxhyHYuZfMqlPGjpNIlh5zLzN8sS6OwALtgKbNqw8OBikevb4+EabGygU0Ijn2eI3tio+dvsrHku7dwlMTsrEVTjOT8sMT17/PtGWPOei8J4IauSnsbF1uH882ayZg3qtbz4hRiZoJ9JHg9VZ8fGSZx6uvm1Awcl+vvNc+PC7UA4xOd8YV4orG5XqWwk+30+4MGHJIrFxe0inYtZW2NCOY8Hm6AtAiklfv0bide+QeKJJ4BXvBx459u5Y3LvfcDXbmdysg0bzxVs3SLwrX9kDspnPidxx50Mq3jnuykoosOB3vh6gTe9gTLJt/4BcMtraBTceReLYtuw8VxCPi/R2krSEAyKuRwh7aXJ5ugRsCzuvoZCNBqfTEpksgvvB53HVV937LvjqisYBqONrYP9NHDyBZMr1dYm5khEdw89TZEwvUzGC0QDRef6AJgLwdcGkOOotz53t4//Pntih8B0ip+vXEGRAIDeFn2dxQgFQJJQWwtEIpRJr32auj9HQ/erqZEhRTr8bz6uvNwY58A8o1Cw/I3OazkaWhFOCBruegd/KfIFcK6iR3m3FoTCTci5gsOvfy1w84sXfnd0VIUGurGAbFUqS1+7tkYgHrOwcQNDX6NRMUfGAHqO6uuARC9/r1ZZn214mGGCRxuuWgzjqaSRh89m+b14XMypER4P5bJEaobExec99vNY1BAYt5uGay5HY7pSYUjZxcSdTUMAAB5nSURBVBcxv669Xcx9z+NR9QFjtLP02vS4LVx55bx6dODGwsYNHAv9Pb+f/bpgmyl1oaGJfG8PbwaXS93LypOkFSM1ImGGqQELyZvDIVAqYS58VhM0/d35kFLi0KGFIY4PP2pKdhwPfj/Djx95lCFxTY3mM6/HqK8eHZI7H9MphvHpZwjAdsRiAi+8kfmVS6GuTsyVTgB4z+sCzfPbou+dtlZVHqND4OqrFp67vo4CGovhiR0kYoBWueUF3O6F870Ytmyil1JvrCy2+XP0n5Z1Atdfx/9XKow2GBk1IZbhkFEkBUxtx7VrBJqaFp6sUlES+37WmK1UlJT/IuxKCN4Xq1dRiKm99djvzIdN0I7C7iclbn2PxF/fxofP9dcBt77dgs/L/IKvfdko/Niw8VyC0ynw4hexXMR11wrc/Vvuvv7mbhI0rTzndFJR7BUvE/jOd4Fb3yMRDEi85CbeFx/5uyruvc/2qtl49uPoJ/38sLhQyCjcrVxhjI9wSGI2vbAmmT5mPpmaD71zHouS9KxMcIcbEMjneS8NDhkhhMZ6hhAtlnCfTtMwPxpOp6Dq3Em+9Xu6jXR4Li8wPc1r9fUzX+7ySylWshhSM0D/YWBmhkahNsRPGPPGe+sWSrofDQoDmL/PN4yuuWrxazbUG7VLgJ7BfF4Vol2EbMzH/Gtp6JpswMIwTJfLOob8rlvLeRgcIgkRgt5Ry2Key9MhHBZzqnyNDQsN94aGeWTHQ/XGUIjhlIvt1gvBELLWFoFlHSRUFKER2Lpl6bkqlSh1X18njwn51NCbAQcO0kDX3xMCaGsHvPOIwzVXcRPE4RCLEn4pVbFzv7kPB4eARx5d/NrhkFjUWPe4mV8HGO9mIMhw1EBAHGNYaw9lb8/Cv2/bYsJLNUlaLEcSONbzu3kjScDTIRRkWGM4TI+h7s7kFD37W7ccu1kwH709wJpVC/8mBHDvffTa6t813EqoZb6Xf07ZMYg5b/38YzweE+IZibA8xf4DEvfev9AGKJUXnw+AzzqfjzXz5pNJHe64FGIxrpmebhL7peB2M+w2lwWmJvWmAGv7BQPGO1Zbu3j60t59EpNTx9o2zLszf+/tXdzr53BQSTu5V1BEZ5ENp/lYInr8+YXBIYmv/YPEPfcAoTBvtLf9Hl3qjz0ucd21NFpt2Hiuw+0WePnvAC9+IfCznwPf/38St7wB8HgkEr0S73onH143XMfd6x/8EPjghyW2bJZ42+8Br/1d7r6m0xLv+kOJr35JqBhx+/6x8ezCfGMBODZvSWPXbqCtjQaz1yvQ1XWsx0IfstRtEAphTh1Re36WylPQoiPzoY3Ooy9TKkmMT9DgOxl0LjNn0lL+gJLbD2NJ79t11zDf4lRxvPE+kWMggXvvl+jsWFh3Djg2F8bv5zjm80ZQ4WQQiQisW6s3sIwS32Lo7GQdr/l1Jn/1GxLDpY7TcDhoowAkFKtXAaO/MpL2Gl3LBNatYT1LXYdqMYyPAzMpieQejt3RY3U8+HwCV18pIY7D+NeuWUjI+voXhtpJuXhO4VJ4Ygc3DY3ypvHenCiqVRrK11wl8PM7+Ld8ngqH+nONUgl45DHTh/mIRo3Iw1J5mEIIbN60kNgfnZd0PHg8YkG9PI+HY+h0AA8+tJDgLgafTyyaW+fxYFEPqRBijnRC1egyCo90Ujz5lFwgipKaARoUsdE5XZmMPMZzXSriuNCevN/eW1VrQm1YxU78xne5xJLeRIC1x4aVcuNC8SABn08e43GdDyFUHuFxng/h0MKSFEu1c0UC8HsFdu0+lvjPx/OeoA0OSXzznyR+fgdZvD8AvOZVTITdtMnCAw/KBTeIDRvPF3g8Ai9+EePg738Q+MG/S9zxS+COX0psv0DiA+9n6NItr2GB1m9/R+L33yHx/X9h6ESlIvEnfyTg8wn85GcSO3dW8b4/slCtykV3oW3YOFkkEonrAXwegAPA15PJ5MeO+vwWAH+mfp0F8I5kMvn4iRwL0PBqmJeDcTyi4HCY+ll9/RI7dlJQYD5NmiMbS3iwRseYU3XNVceGyEQjprixJkmLtScYBKozx/79VMjO0bAsY8A6nUuHV115OeBwWHhiZ3Uu/Kih4VhCuRTEMf85sTYCHKPensU9FUfnAWZVvbjOjmMVGk8EA4Nybt7SM1hSne3+B4AtmwSuv850avNGeqMqJ0AOy2XW0uvuXvj3o4mlEAw3G58EouHjk4jpaXpq2tuBq688ucWx1Kbb0ZsbAMlVPk8Bl9YW5rKdzLVWJiSyebOGW1sFWp8mTOxoLDbGPp8Zn+3b5hdpJgn9xZ3Hksl8nuS2cxnbdsVlcslcqTOBQEAgGiG5YO3dkz+HEAJr18gF+WFLYf690tsj5hQfNXifqzBUNeeBgFET1WhtWaiMuBjcbha3P9PQ6+Xnd0h4PXKuAPh8pFIkm/ElvForV4hjxlyvmxN9rvb2KO9tWj6tiuPzlqANDEp8+SsSv/ktf6+rA175CuaZ/eM/cSF942sS27bahqSN5zcsS+DCC5joPTUt8b3v8YX1kpcDXZ1VXLgduPJygVvfIfDG1zP0699+wMLX117N++fSS4BVStHpAx+UuOE64NIXCJTLZ/+lZuO5iUQi4QBwO4BrABwB8GAikfhRMpncPe9rBwFclkwmpxKJxA0A/h7ABSd4LNxugXVrjyVZR2NFwryoW1sYznU0eZm/6388ZOfV3vH7BZwOOXfcdAqoVQIfTidDtY4mGkJQ5l9KegTy+YWfASfFdY7BkQH+XL2K0SX7D5KULAaHQ+DwEYknnwKaGiXicaC9TSzIj3s6nAqZ5OaPhMTCMMaFbVv4++wsJeHjNeIYw/JEMP98T8exujuPDYWLx1n25ETg8Qhs3WJCFjUhPZrQ+/0CF10EDA+x4HMut7iAwtYtAgcO6vIEZ+dZrNvm83LtDA2LU1qHo2O8v04nGuNoj7QA7yXtiTs6vHLHTv48muBKuTA/6ly8xzIZiUcfpzdqOrW0524pzGYECoe1ouzi39F/PnpddXUuPGAx9c4DB4/NsVux4pl7z8fjvL9LSlI/Hgca6hZ+x+tdWDPxGAhg1y6J7i4sCH88EfXIxeD1LMxzWwzPG4JWqUj09QN33Cnxs1/MYGpKYvs24OUvoxjCb+8FvvxVqtG86Q0CL7rx3NxwNmw8mxCLCrzj7QLveDswPiHxiU9JfPs7wD//i4TXA2zeTAMxEJDcMSsD//p9eth0bsT73ivg8QCzsxKvvkXi+9+lMWtZ9j1n46SwDcC+ZDJ5AAASicT3ANwMYI5kJZPJe+Z9/z4ArSd67GI43st45y6G/7W2ci1fuH2hahvAl3FT43HkvBdBuSxRP68odTxmcnosS+DSFyx+nDaya2vlghpGus2hE8h9OR462s0YtLXRI7YUGuqZT1etnl66+6k8FZYKVYyEF/5eKPJZVSzSSHs6w+lo1Naw7hMAdLSRvB4PXV2n/4ybb5hblsA1VwEPPYxjFDodFhCNUYxjqVyls41lHRRi6D9ERcJqVS4QODlRpGaASy4+9XbUxBfPE8tkji8mMzK6+N/dbpaxOJfQnuiuTq7ZkZGTD1nWOLrY+vHwdPUKF8PJhq7Ox9nIXk8sF0gspwdt3Toj/z8fDufSOaDVCsOTj46oWywP+ETgdgsVZXF8PCcJWrksMTBAFl9Xxx2bN7xZ4sgAd082brDwyY9X8IUv8sH6pS+TPb/6VQLXXn3si9WGDRvHorZG4BN/JzA1JfHj/5H4yc9ojD3wgMSevQydaW+XyBfolb7sUok3vwFobzfG2je/zrCNn/5M4q5fS/zdRwRmZlgw1s5Zs/E0aAEw3xQ+AmCpV95bAPzfKR4LgMbwlZfLY3aNg0FjNA8MCvzoxxK//1a5QNTC6xXHFdPQmB/+V6lQBGGVUk0slpifthTm3zJ79rDu08UX6c/oWToVg0sjnTYGW7nM3wNLGDUOB0PKnI5TNLtOcXcaOL4Berw8kUqFapCL1UF7OjidAr1KPXH5cgtdXWdXJGmxOVy7ZqHHFAD27AVmZwWueprQxZbm4wtcnAlksyTF8znZqazDN71enDR5no94/FjPdiDIjRXfEv1vbDjWLiwUKcJyQjjDyyGbZcFqLXZystiwzoxDd5cpozEfp+oZAk6c/B2N+rpjQyPPFRzzpP4v2HbsplC5Qq/00aG7Tqc4bhTB6eJZSdCk5M7gvv18AY2M8EXxulsE7rxL4ra/lXPJlO3twGc+z52XN78R2LoVePhhB/7pWxW84/cpd9vdxZABOy/Gho2TRywm8PrXCrz+tfx9xUMSn/4ciVkkAqxtZ87B3XcDv7gD8PurWLMauPwyYM1qgXhc4tprgAu38/77xKckLrpQ4MYbgCd2SKxI2JsmNhbFYotiUdMgkUhcARK0S07mWMuyEDoBl9MF89TD1qyWePLJIkJhFwL+k7Nuurol4jUSoZAFr1fC5y3B7XbB6xWolIvI5y2EQou/ti97QRU1NeZ6W7bwPTn/vebzFlGtOo+p0XaiaG2twOkAQiEHRkYr2Le/gt7e4yeVHTpcQV9fAR3tFnw+H0Khp8niPwrBYBU+bxmxmGvRnKbjwectwh9wIBQ6MRbg8xYRCDrR2Xl+C1s7HA6EQiEs763C4aguWAuLLVMhSvB4JEKhpRP/QiHaQmcLqZkqIpEqEgkH6uulkk9fur7VYvjmt/J45cvdiMdPbZ68ngrKZTOOL71ZQgiBiYkyisXqouPk8xZRX3/sWhJCorqs+rRrzOctInASa3EpVCq8H1xugVxeHPdZ8HSYv1ZCocU94dUqrxUOHb/tehyPhtdbQqXy9OvuaKxZXUUoJBYNmzwT2Lypgpq4NVfPbj6OHpOjEQwyouF4JUXOBp4VBO0Tn67iN3cz/KBUBD7yNwLbLwD+4i+Z7NfQYNSltmwGPv5R4Nd3s9p6tQq89CaGLtK1DkSjFi67FGhsEgiHxIKXqw0bNk4PW7dQqv/QIYm772Gi/tYtAre+pwq/n7HzO3cxKfcrX5MoFOglWL2KP299J0NRymWJz35e4nOfFkinJe57AHjhDTZRszGHIwDmZzS1Ahg8+kuJRGIdgK8DuCGZTE6czLHVahXppyuMdRRyuSqL8OYKqFZOfr2GgrrArEQuD6TTeZRKArk889HS6cXP6XY/fQ2vQpGk7XjneDpowZR0mvLqtTVAOl047vdjUWDDBolgwIV4PId0+mkqGh+F9AzHIJ/Po1g88Tbn8lSRO9F+1tdLuJynPi7nCqFQCOl0Gm43Szs83XyvXSNVfbXjz9G5QC4rcegwsLwXc8bxkvk+x0EgUMXUdAGBwKkRNF0Ko1JxLLivs1l9rx07Th0dUqkSL1wb09OMylpMjn0+cnmJTObMrK1qVWLlivk1+87eep2d5ZhwXBa/jl6PR8PrlchmT37d3XmXxJbNTKU4G4jHoJ5/p3a8wKkfezzElnDZPysI2ut+V+AVL+MLyO0ColHuCv7g+2YSBwYkvvs94M5fMrzxskuBl9wEPJUEvnA73bSXXgJccZnAmjUepNNLaH7asGHjtNHeLvC7Ki9DSol3vE3giR1AMilRyANf+RJw92+BT32WBTAfeRT4yU8pCx2JSqxZDVx9FRPYvV7e14DA//4fvXO/8xKBmbRcUH/ExvMKDwLoTSQSnQAGALwawO/O/0IikWgH8EMAr0smk3tO5thTxdS0gNtz+mvy6NCimvixuVMni6uuOHOGjxDiacPUCgWJ/fslbnqRdVKS2Rpa9e1UoltORi5/ee/5TcxOFT7f+dGvUwmTWwyxmDhuuYCzhbbjKE0GAsxJejrUxM+cd9Lloorgvv2MElsqvPi0obp9KqGoXu+phQoDp5e/9lzDs4KgHV25G6Dox959lKy961cSh49QdvbKK4FQAPj8l7hbEo8B3/h7gfa28+NBZcPG8xFCMP+GOTjmXly1UuKNrwcOHZIYHmFCu9sNDA0Dv72H+WxVSQnzzi5gaLiK9jYW861UgA99WOKVLy/jwu3Av/+HxHXXYNHwBRvPPSSTyXIikXgXgJ+CUvn/mEwmdyUSiberz78K4IMAagB8OZFIAEA5mUxuOd6xZ6JdzU2sA/h0NXmeDpYl4HbLOeO2UHj6HLTzDVPTFDaoqRFL1nM7HsrlU7/2s2yontPwKmGc080rPpE6U+cKJ1J3CwA2bTzzbc7njWDI2capkOvhEYqu6PzZE8XynsXz4Z6veFYQNADo66/if/8POHwEOHSIydNSUjZ200aGNpbKwIpe4Hv/D/jxfwD+k4z/t2HDxrlFY6PAK18OHJ0StGNnFQ88BOxJ8p5/85tI0j76ce7oVasAbpOoqQG++e08fvTfVYyNA+vXAWJE4hOfBr72ZQsDgxKTk8DaNefPi93GmUMymfxfAP971N++Ou//bwXw1hM99kwgnWZI04mqNS6Fy15g1q3O0Xw2obFB4K1vFggErFMKDTotgmYztPMG3kXk/W2cOpYqbnym4T6Fjaatm0/NE9bR8ex7xp1NnBcETUq+0FIp5qeMjLJWwdCQxNAwc8fGx7gL4/dRbej6a2m4tbUCv/cWgXvuI0lrbBDYvPmZ7pENGzZOB2vXWFi75ti/X3RhFVPTArt2S/zmbnoV9u+v4sknaZC98S38Xm0t8KKbq3C6WHtnyxaJsTGqdV1/LfDkUywO29xsF862ceaRmnl6CfrnA1IpFnC+9ppTO/50lAVtgnb+wOnEeZ3r/2wTDN5/AHA5Maccejbg97E8Qjx+8oPjdIpTrtFmw+CcDOF//kjit/dITE6xEGcoRPXFaoUx5tPTfJgGAtwx6+pkMcI77wLe/ycMVfjpz4DPf8bCjp2son7dtcw/8fu4GF5047noiQ0bNp5JRKMWolGgc5m553WicjYr8VRSolQEgiGBT35GQlZZMPM//pMhZw88CHzv++Z8TkcVlSrQ2MBk+lye6q81cXpAgkE+owIBoLmRYdShEJ9jbW0Cfv+z7M1u46wjFBJInEatsecSikUgewpiEBrtbQKtLSfPtFzOU8+BsXHmYVkCYfueOGNobV264P2ZgNMpzqmnzsaxOCcEbUUC8HgERkclZmaAzZsE+vokvD5gw3qBvXslEglgWYeFRx6VSCyncfT2t7EughACN17Pc61dI+Z21sPnUO7Shg0b5zf8frEg3v+fvm7+PzNDFbGDfRJ79gB9/cCRIyRe73gb8F8/YikAl5vh05OTzPfJZPivWjW7rCZ0QyIUkohF6fFft44h17t2ATe9mJtQ+/YBr71F4MEHJWYzwAtvFPjP/5RoawMuulDg9q9IvPxlwA3X2eHYNp57qKsTuOqK0zvHqXi3L7/Mtg1sPHdh277PDwi5RBzA1NTUczJI4HjSoM9l2H1+fsDu88lBStbB2btXwnKwJuK3/lniqackxieB6SkWBc1k6d3/8X8CA0eA278KvPc9wN33AP/7E37mdFI5rlzh7mZLC+BxA3v2KeVZAQwNKaEHCUCQ+DkcwPXXAX/8hxb++39ZduBlLxW4/StVLNAdnIdP/F0I06lZfOFLEh+9zcIDD0r8y78u/ri+8XqB664V+NRnq3jRDSyo+8d/KlX/STjLZf6rrwc+ehvb0dcn8a53Wvj4J6v45a+ASpl9u/464M/ed2YIZexUpP3OIcrlsny+3U9nEqOjErt2Aze9OPy8ey6dDTwfn+9nA0eP48OPMMLrfBIheTbAXo+nj6XegXaUqA0bNp630KpivfNktt/wOoGjRUuklCgWqTDp8wJ//qcsIxCPS2zeRHKjiU6lQuLV0w20tAjcd7/EqlVMlL/n3sXbEVby6atWGg/dxReJ46pgBYIClQpww3VsZ1srcNOLF3/Ody7jz0svEairoyfwRTea77pcgMMJOB1GtvnCC4CNG/idt7xJ4JbXkIA6nWdG/MLG8wPxOLBxwzPdChs2lkZjoy3vbuP8g+1Be57A7vPzA3afnx94rvTZ9qA9P/BcWa/PNOxxPDOwx/HMwB7H08dS70A78cGGDRs2bNiwYcOGDRs2zhPYBM2GDRs2bNiwYcOGDRs2zhPYBM2GDRs2bNiwYcOGDRs2zhMsmYNmw4YNGzZs2LBhw4YNGzbOHWwPmg0bNmzYsGHDhg0bNmycJ7AJmg0bNmzYsGHDhg0bNmycJ7AJmg0bNmzYsGHDhg0bNmycJ3jOFapOJBLXA/g8AAeAryeTyY8d9fktAP5M/ToL4B3JZPLxEzn2fMWp9jmRSLQB+DaARgBVAH+fTCY/f+5afuo4nXlWnzsAPARgIJlMvujctPr0cJprOwrg6wDWAJAA3pxMJo9TNvn8wWn2+b0A3gr2dweANyWTyfy5avup4gT6fDOA28B7tgzgD5PJ5N0ncqyNE4c9lieG471HEolEHMD3ASwD0Afglclkckod8+cA3gKgAuA9yWTyp89A089LHP1ussfx5LHY+w5AEvY4nhQWe4cC8MMex3OC55QHTT3YbgdwA4BVAF6TSCRWHfW1gwAuSyaT60Aj5+9P4tjzDqfTZ9C4++NkMrkSwHYAtz4P+qzxBwCePNttPVM4A33+PICfJJPJFQDW41nQ99O8n1sAvAfAlmQyuQY0sl99rtp+qjjBPt8BYH0ymdwAGh5fP4ljbZwA7LE8KRzvPfJ+AHckk8lecM2+HwDUZ68GsBrA9QC+rMbbBnH0u8kex5PHYu87exxPAku8Q+1xPEd4ThE0ANsA7EsmkweSyWQRwPcA3Dz/C8lk8h7N9gHcB6D1RI89T3HKfU4mk0PJZPIR9f80+BBrOWctP3WczjwjkUi0AnghlGH7LMEp9zmRSIQBXArgG+p7xWQyOX2uGn4aOK15BiMEfIlEwgnu+g2egzafLk6kz7PJZFLL7wbA3c0TOtbGCcMeyxPEEu+RmwF8S33tWwBeov5/M4DvJZPJQjKZPAhgHzjez3sc591kj+NJYIn3nT2OJ4/F3qH2OJ4jPNcIWguAw/N+P4KlCcdbAPzfKR57vuB0+jyHRCKxDMBGAPefycadJZxunz8H4E/BcJxnC06nz10AxgB8M5FIPJpIJL6eSCQCZ6eZZxSn3OdkMjkA4FMADgEYApBKJpM/O0vtPJM4oT4nEomXJhKJpwD8D+hFO+FjbZwQ7LE8BRz1HmlIJpNDAEkcgHr1NXtsj4/P4dh3kz2OJ4fjve/scTwJLPEOtcfxHOG5RtDEIn9btNBbIpG4AjTodP7KCR97nuF0+qz/HgTw72Auy8wZb+GZxyn3OZFIvAjAaDKZfPjsNe+s4HTm2QlgE4CvJJPJjQAyUGEJ5zlOZ55j4I5eJ4BmAIFEIvHas9TOM4kT6nMymfwPFb7zEjC084SPtXFCsMfyJHES7xF7bBfBKbyb7HFcHCf7vrPHcRGcwjvUHsczjOcaQTsCoG3e761YJKwpkUisA0MIbk4mkxMnc+x5iNPpMxKJhAt8qf5LMpn84Vlu65nC6fT5YgA3JRKJPjBs6cpEIvGds9vcM4LTXdtHksmk9o7+AHyBne84nT5fDeBgMpkcSyaTJQA/BHDRWW7vmcBJPYeSyeSvAXQnEonakz3WxpKwx/IkcJz3yEgikWhSnzcBGFV/t8d2cRzv3WSP48nheO87exxPDsd7h9rjeI7wXCNoDwLoTSQSnYlEwg0mLP5o/hcSiUQ7uNBel0wm95zMsecpTrnPiURCgHHaTyaTyc+cwzafLk65z8lk8s+TyWRrMplcpo67M5lMPhs8K6fT52EAhxOJREL96SoAu89Ns08Lp3M/HwKwPZFI+NU6vwrPAmEUnFife1SfkEgkNgFwA5g4kWNtnDDssTxBLPEe+RGAN6j/vwHAf837+6sTiYQnkUh0AugF8MC5au/5iiXeTfY4ngSWeN/Z43hyON471B7Hc4TnFEFLJpNlAO8C8FNwIf1bMpnclUgk3p5IJN6uvvZBADWgwsxjiUTioaWOPeedOEmcTp/BHbvXgTt1j6l/N57rPpwsTrPPz0qcgT6/G8C/JBKJJwBsAPDRc9f6U8Np3s/3gzunj4DywBaOVfI873CCfX4ZgJ2JROIxUGnwVclkUj5bn2HnI+yxPCkc7z3yMQDXJBKJvQCuUb9DjeO/gUbzTwDcmkwmK89M058VsMfx5LHY+84ex5PAEu9QexzPEYSUdoioDRs2bNiwYcOGDRs2bJwPeE550GzYsGHDhg0bNmzYsGHj2QyboNmwYcOGDRs2bNiwYcPGeQKboNmwYcOGDRs2bNiwYcPGeQKboNmwYcOGDRs2bNiwYcPGeQKboNmwYcOGDRs2bNiwYcPGeQKboNmwYcOGDRs2bNiwYcPGeQKboNmwYcOGDRs2bNiwYcPGeQKboNmwYcOGDRs2bNiwYcPGeYL/D+eZll0+TfMxAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 864x288 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_trace(trace, var_names=[\"rho\", \"sigma\"]);"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1490.4x331.2 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_posterior(trace, var_names=[\"rho\", \"sigma\"], ref_val=[*rho_true, sigma_true]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Posterior predictive"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling: [ar_dist, ar_init]\n"
]
},
{
"data": {
"text/html": [
"\n",
"<style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
"</style>\n"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <progress value='4000' class='' max='4000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [4000/4000 00:30&lt;00:00]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"with m:\n",
" post_pred = pm.sample_posterior_predictive(\n",
" trace, \n",
" random_seed=rng, \n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"post_pred_ar = post_pred.posterior_predictive[\"ar\"]\n",
"for hdi_prob in (0.94, 0.64):\n",
" hdi = az.hdi(post_pred_ar, hdi_prob=hdi_prob)[\"ar\"]\n",
" lower = hdi.sel(hdi=\"lower\")\n",
" upper = hdi.sel(hdi=\"higher\")\n",
" plt.fill_between(np.arange(trials), y1=lower, y2=upper, alpha=.2, color=\"C0\")\n",
"plt.plot(post_pred_ar.mean((\"chain\", \"draw\")), color=\"C0\") \n",
"plt.plot(ar_obs, color=\"k\");"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x216 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots(1, 4, figsize=(20, 3), sharey=True)\n",
"for i, axi in enumerate(ax):\n",
" axi.plot(post_pred.posterior_predictive[\"ar\"].isel(draw=i, chain=0), color=\"C0\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"hide_input": false,
"kernelspec": {
"display_name": "pymc",
"language": "python",
"name": "pymc"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.8"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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