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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 MA2 model in PyMC with Scan"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"seed = sum(map(ord, \"PyMC+MA(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 ma_dist(ma_init, rho, mu, sigma, size):\n",
" \n",
" epsilon0 = ma_init[0] - mu\n",
" epsilon1 = ma_init[1] - mu - rho[0] * epsilon0\n",
" epsilon_init = pt.stack((epsilon0, epsilon1))\n",
" \n",
" def ma_step(epsilon_tm2, epsilon_tm1, rho, mu, sigma):\n",
" mu = mu + epsilon_tm1 * rho[0] + epsilon_tm2 * rho[1]\n",
" y = pm.Normal.dist(mu = mu, sigma=sigma)\n",
" epsilon = y - mu\n",
" return (epsilon, y), collect_default_updates([y])\n",
" \n",
" [_, ma_innov], ma_innov_updates = pytensor.scan(\n",
" fn=ma_step,\n",
" outputs_info=[{\"initial\": epsilon_init, \"taps\":range(-lags, 0)}, None],\n",
" non_sequences=[rho, mu, sigma],\n",
" n_steps=trials-lags,\n",
" strict=True,\n",
" )\n",
" \n",
" return ma_innov\n",
"\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\", 0, 0.2, dims=(\"lags\",))\n",
" mu = pm.Normal(\"mu\")\n",
" sigma = pm.HalfNormal(\"sigma\", .2)\n",
" \n",
" ma_init_obs = pm.MutableData(\"ma_init_obs\", np.zeros(lags), dims=(\"lags\",))\n",
" ma_init = pm.Normal(\"ma_init\", observed=ma_init_obs, dims=(\"lags\",))\n",
"\n",
" ma_innov_obs = pm.MutableData(\"ma_innov_obs\", np.zeros(trials-lags), dims=(\"steps\",))\n",
" ma_innov = pm.CustomDist(\n",
" \"ma_innov\",\n",
" ma_init,\n",
" rho,\n",
" mu,\n",
" sigma,\n",
" dist=ma_dist,\n",
" observed=ma_innov_obs,\n",
" )\n",
" \n",
" ma = pm.Deterministic(\"ma\", pt.concatenate([ma_init, ma_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=\"556pt\" height=\"349pt\"\n",
" viewBox=\"0.00 0.00 555.71 348.91\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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"<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-344.91 551.71,-344.91 551.71,4 -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=\"-126.78\" 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=\"401\" y=\"-15.8\" font-family=\"Times,serif\" font-size=\"14.00\">steps (98)</text>\n",
"</g>\n",
"<g id=\"clust3\" class=\"cluster\">\n",
"<title>cluster98</title>\n",
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"<title>clustertrials (100)</title>\n",
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"<text text-anchor=\"middle\" x=\"232\" y=\"-15.8\" font-family=\"Times,serif\" font-size=\"14.00\">trials (100)</text>\n",
"</g>\n",
"<!-- ma_init_obs -->\n",
"<g id=\"node1\" class=\"node\">\n",
"<title>ma_init_obs</title>\n",
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"<text text-anchor=\"middle\" x=\"71\" y=\"-172.78\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
"<text text-anchor=\"middle\" x=\"71\" y=\"-157.78\" font-family=\"Times,serif\" font-size=\"14.00\">MutableData</text>\n",
"</g>\n",
"<!-- rho -->\n",
"<g id=\"node2\" class=\"node\">\n",
"<title>rho</title>\n",
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"<text text-anchor=\"middle\" x=\"182\" y=\"-298.73\" font-family=\"Times,serif\" font-size=\"14.00\">rho</text>\n",
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"<text text-anchor=\"middle\" x=\"182\" y=\"-268.73\" font-family=\"Times,serif\" font-size=\"14.00\">Normal</text>\n",
"</g>\n",
"<!-- ma_innov -->\n",
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"<title>ma_innov</title>\n",
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"<text text-anchor=\"middle\" x=\"379\" y=\"-157.78\" font-family=\"Times,serif\" font-size=\"14.00\">CustomDist_ma_innov</text>\n",
"</g>\n",
"<!-- rho&#45;&gt;ma_innov -->\n",
"<g id=\"edge4\" class=\"edge\">\n",
"<title>rho&#45;&gt;ma_innov</title>\n",
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"<!-- ma_init -->\n",
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"<text text-anchor=\"middle\" x=\"65\" y=\"-268.73\" font-family=\"Times,serif\" font-size=\"14.00\">Normal</text>\n",
"</g>\n",
"<!-- ma_init&#45;&gt;ma_init_obs -->\n",
"<g id=\"edge1\" class=\"edge\">\n",
"<title>ma_init&#45;&gt;ma_init_obs</title>\n",
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"<!-- ma_init&#45;&gt;ma_innov -->\n",
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"<title>ma_init&#45;&gt;ma_innov</title>\n",
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"<!-- ma -->\n",
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"<title>ma</title>\n",
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"<!-- ma_init&#45;&gt;ma -->\n",
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"<title>ma_init&#45;&gt;ma</title>\n",
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"</g>\n",
"<!-- mu -->\n",
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"<title>mu</title>\n",
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"<!-- mu&#45;&gt;ma_innov -->\n",
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"<title>mu&#45;&gt;ma_innov</title>\n",
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"<!-- sigma -->\n",
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"<title>sigma</title>\n",
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"<title>sigma&#45;&gt;ma_innov</title>\n",
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],
"text/plain": [
"<graphviz.graphs.Digraph at 0x7f4af41a2890>"
]
},
"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: [ma_init, ma_innov, mu, 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[\"ma\"], hdi_prob=hdi_prob)[\"ma\"]\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[\"ma\"].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 = 10\n",
"for i, axi in enumerate(ax, start=chosen_draw):\n",
" axi.plot(prior.prior[\"ma\"].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=[-0.244 -0.142], mu_true=0.327, sigma_true=0.135\n"
]
}
],
"source": [
"prior_draw = prior.prior.isel(chain=0, draw=chosen_draw)\n",
"\n",
"ma_init_obs.set_value(prior_draw[\"ma\"].values[:2])\n",
"ma_innov_obs.set_value(prior_draw[\"ma\"].values[2:])\n",
"ar_obs = prior_draw[\"ma\"].values\n",
"rho_true = prior_draw[\"rho\"].values\n",
"mu_true = prior_draw[\"mu\"].values\n",
"sigma_true = prior_draw[\"sigma\"].values\n",
"\n",
"print(f\"rho_true={np.round(rho_true, 3)}, {mu_true=:.3f}, {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, mu, 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 00:44&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 44 seconds.\n"
]
}
],
"source": [
"with m:\n",
" trace = pm.sample(random_seed=rng)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
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\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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5eORxy/xf1CkREZHCY/0Gy4svWWrVhFdfyvkvtZOFhzvLyBQpAs+9YDl2THkrIiIF267dlrvvs8ydB3fdYXjh2Zz/MjtZ40aGD941HDoE9z+kme0icnpUaBcpoD77wvLnX/DEY4bq1XKnM5KsTBnDoI8MtWrCc/+zzJ6jTomIiBR8+/dbnnjaUrSoswdKbg3+k5UubXjxecPOnfDG2xZrlbciIlIwrfrTctsdlh074a3XDf2uMxiTuzlbt47h3bcMB6Lh/oct+/YrZ0Uke1RoFymAli23fD8GuneDDu1ztzOSrHhxZwZAg/rw8qua2S4iIgWbz2f538uWw4fhzdcNpUufnbxt2MAw8DbD3HkwfuJZeUoREZGzxlrL92Ms9z9kKVYMBn9qaH7J2clYgHoXOMX2ffvg/gct+1VsF5FsUKFdpIA5csTy+puWyufBPXeevQ4JQFiYc1p7nTrw/IuWhYvUKRERkYLpux9g5R/w0AOGWjXPbt5e3xeaXwKffKr12kVEpOA4dMg5U+zjQZZLmztF9ipVzm7GAtSv56zZvncvPPCw5cABZa2IZI0K7SIFzPsfWvbvh+eeyf1T2NMTHu50SmrWcDZsW71GnRIRESlYNmy0DBlqaXMZdOp49p/f5TI886ShWFF45TVLfLyyVkRE8rdVf1puuc2ybDk8eL/htVzcZywrGjYwvP2mYdduePARy+EjyloROTUV2kUKkF8WWGbOhptvMtSpHbhOSdGiTqekbBl44inLf1vVKRERkYLB77e8/a6zLvtjj+T+erEZiYgwPPWEYeMm+HKYclZERPInn88yYpTlvgctwcHw+SBDrx6By9fULmxoePM1w9Ztzrg2Lk55KyKZU6FdpICIibG8/6GlenW46YZAtwZKRjhr2xkXPPK4JTpanRIREcn/Jk+BNWvhvrsNJUoEtgjQ/BJDty7OMja/r1TOiohI/rJvv+Xhx5yzxNq3g2FDDJG1Al9gT61xI8PzzxhWr3HO2PZ6lbcikjEV2kUKiC+HWfbth8ceNng8eaNzUrGis2b7/v3Omu3qlIiISH62f7/l88GWxo3gig6Bbo3jnrsMFSvAq29Yjh5VzoqISP6wdJmzVMzqNfDUE04xOzw8b4xjT9S2jeGRBw2LFsObb1usVd6KSPpUaBcpAKL+sYwdD107O7uk5yV16xgee8Sw8g8Y/KU6JCIikn998pklPgEeeShvnNIOzkbkzz7tbNj20SfKWRERydt8Pssnn8bx8GOWkhHw5ReGq6/KO7makW5dDQNuMfz4Ewz9SnkrIulToV0kn/P5nLViI0rAHQPzZufkqisN3brCN9/BvPnqlIiISP7z9zrLrNlwfV+ofF7eytt6Fxj6XQfTZ8BvS5SzIiKSN8XEWJ5+zjJkaDzXdILBnxnOr5q3MjUz/W+CTlfB8JEwa47yVkROpkK7SD43cRKsi4L77g3sruyncv89hrp14LU3Ldt3qFMiIiL5h7WWTz+3RERAv+vyZtbecrOhalV4620tISMiInnPrt2Wu+61LF4MTz0RypOPuwgNzZuZmhFjDI8+ZGjYAF5/w7L2b+WtiKSlQrtIPrZvn+WLLy0XN4HL2wW6NZkLDja89ILBGHj5Va3XLiIi+cfipbDyD7jlpry7fmxwsOGZJw37D8DHnypjRUQk79ix03Lv/Zbdu+Gdtwx9rw0JdJNOW3Cw4ZWXDKVKwVPPWqIPKnNF5DgV2kXysQ8/sXgT4ZEH8/6adgDlyxsefdjZsX3k6EC3RkRE5NSstXw51FKhAnTpHOjWZK5ObcP1fWHadFisJWRERCQP2LXLcu8DlphY+PB9w8VN8v649VRKRhhee8Vw5DC8+rrF71fmiohDhXaRfOq3JZa58+CmGw2VKuWfzkqH9oYrr4DhIy2r16hDIiIiedviJRD1D9x0gyEoKO/nbcoSMu9oCRkREQms6IOWhx6zxMTAh+8ZImvl/RzNqpo1DPfcbVi8BMaMC3RrRCSvUKFdJB+Ki7O8976lSmVnU7b85uEHDGXLwOtvWhISVAQQEZG8yVrLVyMs5ctBxysC3ZqsCQkxPP2EYd9+GPSZMlZERAIjJsby+JPOcjFvvmaoWaPgFNmT9egGLS6FL4ZYtm5T5oqICu0i+dKIUZadu+DRhw3Bwfmvw1KkiOGRhw1b/oOvvw10a0RERNK3bDms/RtuvMHg8eSfvK1bx3BdH5gyDZYu08BfRETOLr/f8r+XLP/8Ay/9z9CwQf7J0OwwxvDYw4bgIHjjLS0hIyIqtIvkO/9utnzzHXTqCBddmH87LM2bGdq3hZGjLf/9pw6JiIjkLcmz2cuWgauuDHRrsu/W/oYqleGNty3HjilnRUTk7Pn6W1i0GO6/z9Dy0vw7Zs2K0qUN991rWPUnTJ0e6NaISKCp0C6Sj1hrefd9S3g43HVn/u+w3H+vISQE3n7PYq2KACIiknes+hP+Wg39rsufZ4+FhBieesKwbx98oiVkRETkLPljlWXIUEv7ts7SKoVBp47QsAEM/tJy5IgyV6QwU6FdJB+ZMRP+WAV33WEoGZH/Bv0nKlXKcPedhpV/wPQZgW6NiIjIcd//YClRHK7uFOiWnL56Fxj6XgtTpmoJGRERyX3R0ZYXXrJUqACPP2owJv+PWbPCGMMD9xkOHYLho5S3IoWZCu0i+cThw5ZBn1rqXQDX5ONB/4mu6QQN6jsbth0+rE6JiIgE3tZtloWLoFtXCA3N30WCAbc4S8i8+Y6WkBERkdz1/keWw4fh5f8ZihTJ3/mZXbVqGq65GsaOQ0ujihRinkA3QESy5vMhliNHnA1QXa6822lZtWoVH374IRs3buScc86hb9++9OnTJ8Pbu1yGKy9fyptvTaZbt9X4fAepWLEi3bt3p0ePHmlue9ddd7Fy5cqTHmP+/PmEhITk+GsREZHCacxYi8cDPbrlzbzNTtY6S8jA3fdZ3n1/D8eOvMfSpUsJDg6mQ4cO3HvvvYSGhqbc/tixYwwePJj58+cTHR1N+fLl6d69O3369EmZmbh06VImTZrEmjVriI6OTpPbbrf7rBwDERHJWxb+avl5LgwcYKhZI2/mZ05ISEjgs88+Y8aMGcTGxtKoUSMeffRRKlSowO0DDD/PtXz8qeXtN9Ieg1mzZjF79mxWr17N/v37efbZZ7nuuusyfJ7Y2FiuvfZa9u7dy9dff0316tVz+6WJSA5QoV0kH1i9xjJ5CvS5FmpUz7udlq1bt/Lggw/SokUL7r77btauXctHH31EaGgoXbt2zfB+S5dOpkyZWPYfuJ1nnirPzp2r+Oijj9ixYwfPPvtsmts2btyYu+66K81lwcHBufJ6RESk8Dl82DJ9BnRo7yxxltecTtbWu8DQu2ciX49+kEoVg3jllVc4cuQIH374IUeOHOHFF19Mue1LL73EH3/8wV133UWlSpVYsWIFH374IdbalILApEmTiIuL44477qBs2bKsWnU8tx944IGzchxERCTviIlx9hKrXg2u7xvo1uSu9957j59//pkHH3yQiIgIvvzyS+6//36+/vprSpYM4aYb4LMvLH/+ZWlQ/3g/Yu7cuezcuZMWLVowefLkUz7P8OHD8fl8uflSRCQXqNAuksd5vZZ33rOULQMD+ue9AX9qX3/9NaVLl+Z///sfHo+HJk2asGvXLoYOHUqXLl0yXKPvsccew+8vQd8bLPMXwhuvNiY+Pp7vvvuOxx9/PM1tixcvTr169c7GyxERkUJo8lSIi4Nre+fNzD3drK1WdS7YLXj9P3DRRRUJDzd4PB6ee+45BgwYQOXKlYmLi2PBggU8+OCDdOvWDYAmTZqwadMmZs2alVJof+yxx4iIiEh57MaNj+f2XXfdpS/ARUQKmVHfWPbug5dfNAQF5c38zAl79uxhypQpPPPMM3Tq5KznWqNGDXr06MGMGTPo2rUrPbrBdz/A0K8sH753/Fi88soruFwuYmJiTllo37p1Kz/88AP33Xcfb731Vm6+JBHJYVqjXSQXvfTSS/Tv359ff/2Vvn370rp1ax5++GEOHTrE1q1bufvuu2nTpg39+/dn/fr1Kffz+/2MHDmSXr160br1Zaxb24eWzacTHn48qH/99Vfuu+8+rrrqKtq1a8eAAQNYsmRJmucfMmQIV155JVFRUQwYMIDWrVtz00038ccff+TK6/3tt99o06YNHs/x7/A6dOjAnj172LhxY4b3i4iI4JxzDDf2Myz8FVb8bqlVqxbx8fEcPXo0V9oqIiIFQ05kbatWrejduzeTJ09l7HhLk8bOGWRnkrUrVqzIldd7ulm7fPliqlWrw/7oCnz6ubN2bOvWrQkKCmLx4sUA+Hw+/H4/RYsWTXPfYsWKpfk9dZE9WXJuHzt27HRfmoiI5EM7d1q+/x6uuNw5gwpOnc39+/fPcjZPmzYtzfMFchyc/Dxt2rRJuaxs2bI0bNiQ3377DYCwMEO/6wwrfodVfx5fq93lynr57YMPPqBLly5UqVLljNorImefCu0iuWz37t0MHjyYO+64gyeffJK//vqLN954g+eee44OHTrw2muv4fP5eO6557DWCeJ3332Xr776ivbtuxIc9g6VKl3G2LGvsXDhwpTH3bFjBy1btuSFF17g9ddfp379+jz00EOsWrUqzfPHxcXx0ksv0b17d15//XWCgoJ44okniIuLS7mN3+/H6/Vm+t+pTluLjY1l9+7dJ3UGqlatCsCWLVtOeayu7QXnloePBllWrfozqQB/TprbLFmyhNatW9O6dWseeOCBNB0zEREpnM4ka7t27cq7775L69atef3119iz+1f6XOsUCs4ka++///48lbVbtmyhdu0q9OkNEyfD8hWWoKAgKlasmHK/IkWK0L59e0aPHs0///zDsWPHWLhwIXPmzKFnz56Ztu2vv/4iIiKCkiVLZno7EREpWD4bbDEuuOP2tDPZM8vmTp06ZTmbX3311TwzDt68eTNlypQhPDw8zXNVrVo1TQZ36wLnlIRhw7O/KeqiRYtYvXo1AwYMyPZ9RSTwtHSMSC47fPgwQ4YMoVKlSgBs2LCBr7/+mueffz7ldDOAhx9+mM2bN1OiRAnGjx/Ps88+y29LrsK44KOPmjJk8AGGDh1Ky5YtAejdu3fKff1+P40bN+bff/9lypQpNGzYMOW6+Ph4HnroIZo0aQJA6dKluemmm1i5ciXNmzcHnNPYpk+fnunruOiii/jss88yvP7IkSPAybPekn9Pvj4zISGGO++A51/YxMaoCdx8841prm/UqBFXX301lSpVYufOnQwfPpw777yTUaNGUaFChVM+voiIFEzZzVqPx5OStVdffTUAF198MVOm7iMubijNLi54WXv48GGKFSvGwAGGX3+zvPGWZeRXzn1T3++FF17ghRde4KabbgLAGMNdd92VcpzS8++//zJhwgRuuOGGTF+fiIgULKv+dDZAveVmKFc2baE9s2y+9tprU7Ins2xu2rQp+/fvzzPj4CNHjpyUwXByloaGGvpdDx8PsvyxynJhw6wtp5OYmMh7773HwIEDKV68eJbuIyJ5iwrtIrns3HPPTelcAJx33nkAKYEPpFy/d+9e1q1bh8vlIrxoa+bO9zJwgKFsGUOTJk2YOXMmPp8Pt9vNnj17+Pzzz1m2bBn79u1LmQXQoEGDNM/v8Xho1KhRyu/nn38+4Kwvl+y2225L02FJT+pv7X0+X8rzJT9HsozWhs2qJo0O4zFP43fVoF+/m9NcN3DgwJSfL7zwQpo2bUqfPn34/vvveeihh87oeUVEJP/KbtZu374dl8tFmzZt8Hq9APyxynLkWBPwzcJaP1DwstYYQ0iI4anH4Z77LZ8NtmmeA5zT1desWcOzzz5LxYoVWbVqFUOHDiUiIoIuXbqc9JiHDx/mySefpHr16vTv3/+02iUiIvmPtZbPvrCUKQ3X9z05l3Iim5Nvn1fGwZB+BltrT7q8Wxf4+hsY9XXWC+3ffvstISEhdO/ePUu3F5G8R4V2kVx24jqnyQPl1JcnX5aQkEB0dDQ+n4+nnrgcgM8/df5Ltn//fkqXLs2jjz5KTEwMAwcOpFKlSoSFhTF48GCio6PTPF+RIkXSrAcXFBSU8lzJypcvT9myZTN9Hak7Dj179mTXrl0pv48fPz7lVPETZ9NlNPsuPfHx8TzxxBMULZrIwaNv8dOsIG7KZHJcqVKlaNCgAVFRUad8bBERKbiym7UHDx7E5/PRvn37dB+vIGZt8eLFU27XoL7h2l6W78dAmZJHqVXLud/69esZP348H374Ic2aNQOcmXwxMTF8/PHHXHPNNWleZ3x8PI8//jiJiYm8/fbbKa9bREQKvmXLYfUaePRhQ1jYyYXkgpjNJ85cT3b06NGTXm9IiKFHd/hymGXTv5Zq52debI+Ojmb48OE8++yzxMTEAM6ScQAxMTHExsYSFhaW6WOISOCp0C6Sx5QoUQJj3LiCvuDRh13UjkwbyCVLlmTbtm38888/vP/++ymnvYEz4D0d2T1l7p133iExMTHlujJlyhAUFES5cuVOWh82+fdTbeTi8/l4/vnn2bRpE4MHD+bNd85h5ChLn96nXtfuTGfRi4hI4VK8eHHcbjeDBw/G5XKxd5/l6WctV3WEHt1cBTJrq1SpkuZ+AwcYFi5K4L9N2zn33O5pHqdWrVpp7lurVi2OHDnCoUOHUor9qXN7yJAhlCpVKtPXJiIiBYe1lqFfWcqWhauvypnHPDGbT5QXsrlq1ars2bPnpKL3li1b0s3gbl1g1NfwwxjLk49nPmbdu3cvMTExPP300yddN3DgQJo0acInn3ySlZclIgGkQrtIHlOxYhOs9dO40VG6d7sk3dskdySCg4NTLtu5cyd//vknNWrUyPZzZveUuYyeo3nz5syfP5877rgDt9sNwOzZsylXrhzVq1fP9PHffvttFi9ezMcff0zVqlUZOMBy/0OWseMS6NI5/fvs37+fP//8k2uuuSbTxxYREUmtSZMm+P1+jh49SrNmzfj5Mz9ut1N8Lpu0xmxBy9rmzZszc+ZMdu7cybnnnktoqOHKyxcy+ItENv7rzF4vX748AFFRUVxyyfE+yLp16wgLCyMiIiLlstS5faov00VEpGBZugzWrHVmswcF5cykpxOzOT2Bzubkds2bN4+rrnK+Ydi7dy9//PEHjz322En3jYgwXHWlZdqPcPttlnPOyfhYVapUiUGDBqW5bP369XzwwQc8++yzREZGZvl1iUjgqNAukodYaxkxujzBod34e83zjBx5A3Xq1CEhIYFNmzbx33//8cwzz1ClShXKli3Lhx9+yB133EFMTAxDhgyhTJkyp/W8FSpUyJHNRPv168dPP/3Eiy++SNeuXVm7di0TJkzg8ccfTzPrvEWLFtx6660pO6kPHz6ciRMncvPNN+NyuVi9ejXBQVCrhp8hw6pxRYcibN26gc8++4x27dpx7rnnsmvXLkaOHInL5aJv375n3HYRESk8qlSpQvfu3Xnuuefo2/cGxk+oTd068fz00+YCm7Xt2rVj+PDhPPnkk9xxxx0cPXqUsWM+oGrVDsyacx6dr7E0bFCHOnXq8OqrrzJw4EAqVKjAqlWr+P7777n22mtTHj+93E52/vnnU6RIkTN+nSIikjdZaxk23FKuXM7NZoe02XzDDXlzHFy2bFk6d+7MBx98AEBERARffvkl5cuXp2PHjim3Gzp0KMOGDePXX3/l2t6GSVMsQ7/aROOLtqR8WbBu3Tp++uknQkNDadSoEeHh4TRu3Djd561Tp84pJ66JSN6gQrtIHrLyD1i23McjDz1GfGwVJk2axJAhQyhSpAjnn38+nTs7U7uDg4N54403eOedd3j66acpU6YM/fv35/fff2fTpk0Ba/95553H+++/z0cffcRDDz3EOeecw/3330/Xrl3T3M7n8+H3+1N+X7JkCQAjRoxgxIgRaW7rCvqE8RMbc3m7Es6GO599xqFDhwgPD6dRo0a8+eabKTPwREREsuqxxx6jcuXKjB49iWOHh7A+qgj4C27WejwePvjgA9555x2eeeYZgoKC6NChAwMH3sud98Drb1lGDnPxzjvv8PnnnzNs2DCio6MpX748t912G9dff33KY2WW24MGDcqwUCAiIvnf8hXObPbHHsm52ezJkrM5L4+DH374YUJDQ/nwww+Ji4vjoosu4uWXXyYkJCTlNn6/H5/PB0Dl8wwtLrVMnzaHcWOGpdxm7NixjB07Ns3SNCKS/5nkHZqzKzo6Okt3zGiziMJMxyQtHQ/H4SOWfjdZKlV0M+gjPy6X1h0HePwpF2vWeBnznSE8XMcE9P/MiXQ8HCVLlszS/yBZze/M6Jgfp2ORVn47HtZabrzFEhwMQ78wObrnR346Fqv+tNz7gKVHN3jogZPXxc0J+el45DYdi+N0LM5ufgeS3mtHQTgODz/mZ+MmGPOtITj49HKzIByH7Ph9pbMs6tNPGDpdderNVQsbHQeHjoMjvxyHjPI7d3rSIpJtg7+0HDoEzz4dpiJ7KnffGcKhwzBmXKBbIiIiBc2K32HzZujdI2eL7PlNwwaGnj1g/ET4a3W+ruWJiEgu2rDRsnQZ9Opx+kX2wuiiC6FqFZgwWRkrUtCp0C6SB6z92zJpMvTqAbUj3YFuTp5Sv56HFpfC92MsMTHqmIiISM4ZO94SEQHt2ga6JYF3+wBD2bLw1juWxETlrYiInOz7HyyhodC1c6Bbkr8YY+jaxfD33xD1jzJWpCBToV0kwLxeyzvvWUqVgttu1ayA9Nx0g+HwYZg4OdAtERGRgmL7dsuvi5xiQUiI8jc83PDIg4Z/N8M33wW6NSIiktfs22eZNQeu6QTFiys3s6vjFRAaChMnqdAuUpCp0C4SYBMmwT/r4f57tQZ5Ri6oa2jcyJlBER+vjomIiJy58RMtLhd066LsTXZpc0O7tjBipOW/rcpbERE5bux4i98PvXspN09HsWKGy9vBrDlw9KgyVqSgUqFdJID27bd8OczS9GJo2zrQrcnbbr7RsP8ATJ8R6JaIiEh+FxNjmTod2rSGMmVUMEjtgXsNwcHw9rsWa1UIEBERiI+3TJoCrVpCxQrKzdPVrashLg5mzAx0S0Qkt6jQLhJAn35mSUiAhx4o3JuwZcVFF0K9C+Drbyxerwb+IiJy+mbMhGPHoHdPZe+JSpUy3HWnYeUfMOOnQLdGRETygp/nwpEj0LO7cvNM1I401KntLB+jL7NFCiYV2kUC5PeVlpmz4fq+cF4ldVhOxRjDTTcYdu2GWbMD3RoREcmv/H7LuPGW2pFwQd1AtyZv6ny1c2w++8Lq9HYREWHCJEuVys7kJzkz3boaNm+BP1YFuiUikhtUaBcJAK/X8t6HlnPLw439VGTPquaXQI3qMOpri8+ngb+IiGTf8hWw5T/o1VNnk2XE5TI8eL8h+iAMH6m8FREpzP5Zb1n7N3TtotzMCe3bQtGi2hRVpKBSoV0kAH4YC5s3wwP3G0JD1VnJKmMMN95g+G8r/LIg0K0REZH8aOw4yzkloV2bQLckb6tT23D1VTBmHGzZomKAiEhhNWGSJSQErroy0C0pGEJDDZ06wvwFsH+/P9DNEZEcpkK7yFm2Z4/lq+GWFpdCy0tVZM+uNpdB5fNg5GitayciItmzdZtl0WLo2gWCg5XBp3LHQENYKHz4iTJXRKQwOnrUMms2dGgPxYopN3NKty4GrxcmTEoIdFNEJIep0C5yln00yOLzwwP3qaNyOtxuQ7/rDes3OKf/i4iIZNUPYy0ej3P6u5xayZKGW28xLF0GC38NdGtERORs+2kWxMU564pLzqlc2dC4EYwdl6AlUUUKGBXaRc6ipcss8+bDTTcYKpyrzsrp6tAeSp0D336vTomIiGRNdLRl2nS48gooXUoZnFU9usH5VeHjTy2JicpdEZHCZPqPlpo1oHakcjOndeti2LnLsnhJoFsiIjlJhXaRsyQhwdkAtVIluL5voFuTvwUHG3r2cGbYbdqkQb+IiJza2PGWxES4vo+KBdnh8RjuucuwYwdMnBzo1oiIyNmycZMl6h/odJVyMze0agllShsmTtZ4VqQgUaFd5Cz55jvYtg0efsDku3VhXduW49q2PNDNSKNrZwgJge/GqGMiIiKZS9y4jA1zV9CyBVSpkr8yOC9o1hQaN4IRIy3Hjil3RUQKg+k/OsutdWgf6JbkrkCNdT0eQ/duwSxeAjt2KltFCgoV2kXOgh07LSNHW9q0hqYX578BvnvbUtzblga6GWmUKGHodBXMmg3796tjIiIiGds0dxl1w5fS77r8l8F5gTGGu+4wHDwEX3+rzBURKei8XstPs6DFpRARUbCzM5Bj3V49gnEZmDBR2SpSUKjQLnIWfPixxe2C++8p2J2Us61PL2e39vHqmIiISAa8XsvqNZby5aDeBcrh01U70tC+HXw/BvbtU+6KiBRkvy2GgwehU0flZm4qV87FZZfBlGkQG6tsFSkIVGgXyWW/LbH8ughu6W8oW1YdlZxUqZKhZQuYOAni4tQxERGRk82aA0ePQcMGyuAzdfttBp8Phg5X5oqIFGTTZ1jOKeksHSa5q1cPw9GjMHN2oFsiIjlBhXaRXOT1Wj7+xNkAtXfPQLemYOp7reHQYfjxp0C3RERE8hq/3/LNt06x4LxKgW5N/lexgqFbV5g2HTZvUbFdRKQgio62LPoNrrzCWUdccleD+lCzBowbb7FW2SqS36nQLpKLxk+A/7bCfXcbgoLUSckNDepDndrw/RiL36+OiYiIHPfbYvh3MzSob0AxnCNuvtEQGgpfDFbmiogURDNng88HV2nZmLPCGEPPHoZN/8LKPwLdGhE5Uyq0i+SSgwctw0ZYml4MlzYPdGsKLmMMfa81bNsGi34LdGtERCQv+fpbS7lyUK1aoFtScJSMMPS7zrDgV1i9RsV2EZGCxFrL9B8tdWpDtfNVaD9bOrSHEsVh7Hjlqkh+p0K7SC758itLbAzcd4/BGHVSclPry6BsGXVMRETkuL9WW/78C/r0NrjU481RvXs6BYERo5S7IiIFyT/rYeMm6HSVxq9nU0iIofM1sPBX2LVL2SqSn2nYIZILNm6yTJ4C3brC+VXVScltHo+hW1fD8hVaM1ZERBzffGspXhw6Xx3olhQ84eGGvn0Mvy2Gv9cpd0VECorpP1qCg6B9u0C3pPDp1tWpG4yfqFwVyc9UaBfJYdZaPvrEUqQI3NpfRfazpfM1EBQE4yeoYyIiUtht3mJZ8Cv07A5hYcri3NCjGxQrBsNHKndFRAoCr9cy52do0QKKF1N2nm3lyxnatIZJU+DoUWWrSH6lQrtIDlv4K6z4HQbcYihRQh2Us6VkhKF9O/jxJzh2TB0TEZHC7JvvLCEh0KO7cji3FCli6NPb8Osi+Ge9cldEJL9bthwOHoIrOyg7A6XfdYZjx2Di5EC3REROlwrtIjkoIcHyyaeWqlWhW5dAt6bw6dXdEBvrFNtFRKRw2rPHMnMWXH2V8yWs5J5ePaBoEc1qFxEpCGbOthQrBs2aBrolhVdkLcPFTeCHMZb4eGWrSH6kQrtIDho3AbbvgPvuNng8GtyfbbVrG+rWgXETLH6/OiYiIoXRD2Mt1g99+yiHc1vRoobeveCXBbBho3JXRCS/io21LFgIbdtAUJDyM5BuuN5wIBpmzAx0S0TkdKjQLpJDDh+2jBhladYUmjVV5yRQevUwbN3qnPooIiKFy5EjlklToG1bqHCusvhs6N3LUKQIjBytQruISH614FeIi4MrLld2Blqji6BObWdTd59P2SqS36jQLpJDRoyyxMTA3XeqcxJIbVpDyZLOrHYRESlcJk6G2Fjo11dZfLYUL2bo2gXmzYcdO5W9IiL50ezZlrJloUH9QLdEjDHccL1h+w6YPSfQrRGR7FKhXSQHbN9hGTcBOnWE6tU0uA+k4GBD187w22LnfRERkcIhPt4yZqyl6cVQs6ay+Gzq3cPgcjlryoqISP5y8KBlyTK4vD24XMrPvKBVS6hZA4YOtyQmKltF8hMV2kVywOAhFo8HbrtVHZO8oFsXZ8A/fqI6JSIihcWPP8GBaGdtUzm7ypQxdGgPU6c7S+mJiEj+MXc++HzQob3yM69wuQy332bYscPJVhHJP1RoFzlDa9Za5syFvtdC6dLqnOQFpUsbLmsFP85Au7WLiBQCPp/lu+8tdWrDRRcGujWF03V9DHFxMGFSoFsiIiLZMXOW5fyqUKN6oFsiqV3SzFnKZ/hIS1ycxrQi+YUK7SJnwFrLoM8s55SE67UebJ7StbPh8GFnzVgRESnY5i+AbdudLDZGeRwI1aoZmjWFceOtvuQWEckndu60/LUaOlyu/MxrjDHcMdCwfz+MmxDo1ohIVqnQLnIGFiyEP/+CW28xhIerY5KXNLoIKlWESVM02BcRKcistXz9jaVSJbisVaBbU7hd39dwIBpmzQ50S0REJCtm/+z826F9YNsh6WvYwHBJMxg12hJ9UONakfxAhXaR0+T1Wj79wlK1ClzTKdCtkRO5XIYunQ1//gWb/lWnRESkoPp9JUT94yxd4nbrS+9AanQR1KoJ335v8fuVvSIied2s2Zb69eDcc5WfedW9dxti45x94UQk71OhXeQ0TZ4K27bBXXcYPB51TPKiqzpCUBBMnqpOiYhIQfX1t84Sbh2vCHRLxBhD3z6GLf/BsuWBbo2IiGRmw0bLpn+dZWMk76paxdCrp7Mp6rp1GteK5HUqtIuchrg4y4iRloYN4NLmgW6NZKRkhLMp6oyftCmqiEhB9M96y9Jl0LuXISREhYK8oG1rOKeks1a7iIjkXbNmW9xuaNcm0C2RU7n1ZkPJCHj/I50xJpLXqdAuchrGT4T9B+D227RpTF7XtbPh6FH4eW6gWyIiIjnt628t4eHQrUugWyLJgoIMXbvAb0tg+3YVA0RE8iK/3zJrDjS9GCIiNJ7N64oUMdx5u2HNWpg+I9CtEZHMqNAukk3HjllGf2Np1tTZnETytosuhMrnaVNUEZGCZvsOy9x5TpG9WDHlcV7StbPB5YIJk5S9IiJ50V+rYc8eLRuTn3S8Eho2gE8+tezbp3wVyas8gW6AFEyeNRMI/enpdK/zVm9PXNdPUn63U54gbMtSXEd3Q2IMhBTDV64eiRffhu+8pqd+spgDBC/7Es/GnzFH90BQKP6SVUm8sB/e2len3My1YyUhc1/HdWAj/uIVSGj5ML7qbVOuN0d2Ev5VJ7x1OhPf4aUMn+67HyyHD8PAATncKfH7CFoxHLt2PEUObsWGRuCr0Z74Sx+AsIhM72oObSfoj9G4ty3DdXgHJMZii1fAW70dCU1vh5Bi6d7PvWURYeMGpPwe02c0/oqNU34PmfUCrh0rcR38D/yJBK8cneF741k7kaBV3+GK3gLeeGyxcnhrdCDh4gEQWgKA4EWfELx4UIavw1fpYmKvHQlA0ffqAGCBouncNrb3iCz9fRhj6NLZ6ZBs3GSpXi0L75s3gfARnXEd+g+AxHo9ib/ilbS38XsJ+uNbPGsm4Ir+F1xu/MUr4a3blcQmt2T68J61E/Gsn41r7zpMzH5scBH8pWqS2OxOfJWbHb9h/BFC5r6KZ9N8rNuDN7ITCS0fSfNYoRPuwL3rL47d+lOG77OIFA5Z/mwBwr9s7+RFOmJuGI+/bJ3MnytqOp51052MiD0AOJ+V9Pwwze1yKnvT890PFpcLevc8gzxOyt6g1WMxh7dnK3sBPH98g2fjXNy7VmHijwAQf+n9JF5yV4b3ySx7s5Pn2Xm/U/I8C32trOT5qZQubWhzmWXqdLjtVktoaPrvUciMpwhaOzHDx0ms2434jq+fdLnnzx8Inf1Cyu/HBs7FFit/yna5N80neNkQXLvXgjH4ytcn4dL70vR9MsxeT3DKTZS9IpKRU42DuWFEyu/Z+WxOT9gPN+Hetizd62K7fIyvxuVA+lk8c1ZrQkOh5aVnlsXZEnuQkEUf4t4wBxt3iPDiFUms15PExv3B5c78vr4Eghd+gHvHSlx71mB8icDJ41eAoJVf41k3FXPwP0z8YfCE4D+nOon1euJtcG3K7cyh7RQZennK7yGLPk752YYU49g9S9NtSvDCDwhe+oVzO+Pm2EOrU65zbVtO0JoJuHf+4dQmAH9EZRIb9MFbr2ea1xky4yns2onpjnXj2zxJYqOb01zmchmeeAz6D7C8+77ltVc47bPrzf6NhI/qjvE7xzGu45t4655wemDsQYKXfoFnwxzM0V0QVAR/qeokNL0d3/mXZfr4meV76tdm9m8k5OeXsbtXEx5WioSmt+Gt3/v4jROOEf5VR/ylaxHXc+hpvVaRs00z2iXwVo3FvX89Jv4wxu/FxEbj2byA0LG34tqxMvP7Wj9hY28heMVXuA5uwXhjMbHRuHesJHT6o3hWfevcLu4wYRPvxsTsI7bHYPCEEDr1AczB/1IeKnjBe+DykNDigQyf7tAhy/djoM1lUDsyZwvtIbNfIGTBO7B/E8aXiOvYXoJWfUfYmJshMS7T+7p3/kHwiuG4d6/BxEZjvHG4DmwieNmXhH1/I/gSTr6TL5GQua9m+rietROd98YXj7H+DN+boGVDCZ3xFO6dqzBxBzHeWFzRmwleNoSw8bdn+RjYoPBcue1VV0JwEEyanLVv/oOWf5lSZE//yf2ETnmAkHmv4d77N8Ybh0k4hntfFJ4Ns0/5+MFLBuPZOAfX4e3OexWzH8/WxYSN7Y9n3bSU24XMe4OgtZOIb/EA3nq9Cf59JEHLj3cw3FsW4fn3F+IvvV8DfRHJ8mdLTvCsm+48V1KRPV05lL3piY62TJsOV14BZcqcfh4nZ68renO2sxcg6K8xeLYsTCmyn9Ipsjc7eZ6d9zslz0/R18qpPAfo0d1Zum3mqWMxQ+lmfdwhQn79INuP5Vk7kdCJd+HevsLpLybG4Nm6hLAxt+D+77eU2yl7ReRsyepn8xlJL4unPEDUkv9o1RLCw81pZ3G2JMYRNuZm54vcY3vBl4Ar+l9CFrxDyOz/Zen+wSu+cgrYSUX2jLg3zcO98w9csQec45pwDPeuPwmd/QJBS4ec0csw0VsIWvFVhtcHrZtK0JrxuA5swiQcxSQcxb1nLaGzXyDk55fP6LkBKp9nuO1Ww4Jfz2xp1JC5r6QU2dNjju0l/Ns+BK8YjuvQVowvERN3EPf2Fbh3/H76T5ya30vY5Htx714DfYbiP6cqobOex7Xt+G7qwUuHYGKiSWj9RM48p8hZoBntkqv8xSsQc9uczG/U6l5izmuJP6IyJu4IIT+/5MxOtz48UT+SUOGiDO/q2rsO975/APCVb0Bs989x7d9I2Jj+GOsjaPUEvA2vcwI57iCJdbvgr9gYb53OhMx7A/eWRXgjKuPa9ReeddNIaPUwNrxUhs/39beW2FgYcGvWBvWuXashMQb/KWYkuHasJGj1OOeX2h052vZ5gv4aS8jC93Dv+4eglaNIbDow08fwnneJM/uhYiNc0ZsJnXwvrsM7cO+Lwr3xZ3y1Oqa5fdDvI3Ad2IT1hGG8sek+ZkLT2/HVaI/7n5/AG4/74JZ03xvP31MA5xv92N5f4S9Vg7AJd+Le9SfuXX9i9m/AlqpBwqX3knDpvWnbsfJrQuY6s8W9ta9Jufzow38DUKxYMY4cOQJ+L+FD2uI6tg9/yar4y12Q6fFIrWTsGm5td4xRsy7mrjssYWEZv3/m8HaClw7J9LgE/fEtno0/O8fown4kXjwAG1oC14F/cSX9PWbGhhRzBvB1OmNDIwheOiRlVkTQks9SzsRw/zsfG1Icb8O+EHeY4CWf4dk0D3gcrJ/g+W/hK1Uz7bf+IlJoZfWzJbW4K1/De0H3bD+X77xm+M67GH+xcwmbkv7APKeyNz3jJlgSE+H6Pid/np9O9nprXE5ch5eyn701LiexwbWAIXTOi6dsd1ayN6t5np33OznPT9XXymqeZ8WFZVbTpX4M4yZcTOeT//QAiO/4+kkz1oPnv0VwUhHDW+eak+4T8usHmNjoTI/hSfxeQua/hcHiL3Eesb2+Spqs0R/X4R2EzH6RmFt+BGMyzN7ES+5S9opIlmU0Dg5K9XNWP5tPJeGSe04aYyVLN4t3v0G9sN9o2r7KGWVxZk7M4qCVI1PG7fEtHyakeX+8Ex7Gs2E2QavHklivB/7MXq/bQ0LD6/FXuAj39uUE/fl9hjf11uxAQtOB+EvXApeHoN9HEPKbc0a9Z920dLM9vtHNJLZ58pSvK2TeaxhfQoYZZI2LxHq9SLzwevwlz8e9eQGh0x7G+L14/vyBhOb3YouUTnOfjM7eysi1vWDuPHj/Q0ujRlCyuB/3v7/gL1UDG3HeKe/vifoRz3+LM83RkJ9fwXXwP6w7mPi2z+Ct2QGMC/fu1c4p51mU2Wsz0VtwRW/GW709QdVaknhoL55/f8Hz73wSKjXBHNlJ0O8j8Dbo7byXIvmEZrRLwJnWD+EvUxuCwrHFypFYr9fxK12n+C7IHD/1ylelOYSVxF+pyfHw8ibNRkv+1tvldG2s2zn91yTNDAuZ/ya2RCUSL7opw6eKjraMmwBXdIDzq2ZSaI89SNDK0YSN7Eb4N73xbE3/lLPU0sw8a3kPhJUkscmt2OAiSddPzfT+3mptiOv9Fb6qLSAoDH/ZOiReeEPK9a6DaWdnm6N7CF78Gf7wUiTW73Xiw6VIbH6P8964gyCkaMbvjcv5KLFFSuOvdDGElXTej+Tn88Zn/NqTOkk2rCTemldkeDv3hjm4ju1z2tWgD5zqNLkT3odOtZdy7BjMOcU3/yHz3sB440i45M4MbxO0chQAvgoXkdDuWWyxcyEoHH+5C7JUsIrtNYzEZndii1eE4CIktHgAG+ycNJj6vTK+RKw7qTue9Deb/Lfs+Wss7n1RJLR58tSnWopIoZDVz5ackNjoRhIb3Yy/bCZfeuZA9qYnJsbJ45YtoEqVpCw4w+xNuHhgtrMXnJz0NrwOe061U942K9mbnTzPzvudkuen6mudQZ47jTr+PhT59lp6N17Kxo3w51+Z3+34AUggaM0EAHyla51UdHHtWYvnzx/wlaqOt8bl6T1Culz71mNio52nqNkBW6IiNuI8vDU6ONcf3IJrl9NIZa+InC1Z/mw+ExlkcfHwBJpefPpZnK5Mstjzt5OpNrgIiU1uxYSf42Rv8vXrpmf+2EHhJLR/Dm+da7DhpTO9qbfBtU6BPyzCGcM27n/8SvfpH1f3xp/x/PsL3iot8Jevl+5tElo9QvwVLztL8AWF4qvZAV/VlgAYLObQ1tN+/mQej+Gpxw0l7H9EffY+4UPaEjbpblxHdp76zokxBP/yNtYdkva4pGKO7MKddJZ2YuP+znI7YSUhtAS+Ki2cPkoOSJ5Rf3LmOv3E4AXvgTvYOYNMJB/RjHbJVeboXop8egkkxDhrjEZ2IqHZnWnWuUxhLeboLoL+GuP86gnDW7drpo/vL10L37kNce9chXvLb9DoZlz7N2CO7QVICQF/+fpYdwjuLb9C/B14Ns3DYvBVbIz7nxm4t68gtvOH6bcryXc/OLPnbr4xnQKvtbi3Lsbz1zg8G2Y533Jj8FZqijfVADUj7j1rj/9Sqhok4qz5XeI83HvX4dq/EbwJGbcvqSiQhu/4YNgWLZv25vPfxCTGEN/uWVyHtp+yfVgLCUczfG8S61+Le86LmGN7cW1bhr9UDef9APxFyuIvVTPdh3Vt/x33/vXOY1zQPdPjnzxrwbpDSKzbLcN2ZvQ+lL64OVWrOpuiXtMp/SK9e/NCPBtmO+9b5NWELHz/pNuYo3twHdziPF1oCcK+vxHXnrXYoDB8NS4n/rLH0n8/Ujvxel8iWL/zmEXLHb+4UhM8G3/Gtf33lLWUfZWa4E44RvBvH+Ot1hZflUszfy4RKTyy+NmSWsj8twiZ9QIEheE7tyEJl9yV+YyybMiJ7E3P9Blw5Aj06wvu/37Lkez1l6zq/JCd7M2mLGVvdvL8NN7vU/W1TivPM8ne8y5uTtGxMH6ipWUWxuWe9T9h4g46bWnQ56TnCfn5FYz1k9DueTxJBfks8aZeBij9PoBr79/4z22QYfai7BWRbMhwHJye0xgHpxa0cjRBywaDKwh/2bokXHwbvmqtgZOz2Kyfh98aQmo2JmTTT6edxanbfspxsDcB14GNTntKnJfyRWVK9gLuvX+f3vOfStxhgn8fmfLrSdmSJPjPHwj+42tsWEl8VVuScOkD2GKpstQbT8i817HuIOLbPUPorBfSfZx0c9ybOsdPzmfPhtl4PpoB4Oy1clG/jN//xDg862dSd/U4JrZZhsHiiwklMbIT/ogq6d8ndfMWf47ryE4SLrkHf4mK6d7GvX0FJqk/YWKjCRtxDa6DW7FFy5N44XXO+upZXBs+s9fmL3k+/vBSuLevwB7bl3LGuK9ik+NnWrR+3Cnyi+QjKrRLrjL+RIg75Px8cAvBSz7Dtesv4nqmXRst9WnCADa4KHFdPsJfJvIUT2CI7fEloZPuwbNtKUU/cwY+1rhJrN+bhBYPOr8XLUv8FS8TMudFig5qinUHkXDZo/hL1yR86kP4Kl2ML3k2tS/RmcGdyuHDlvEToV1bZ120lKc/sgvPmgnOOmyHtgFOYCTU7YK3Thds8QpZO05Js6wAZ73PxGNJB8YJamN9mLiDJxXMMxQbTdAf3zivPbQE3urHZ325ti4lKGo6vgoX4a3bjeDfMt6cFLL23ngb9iXel0DwvDcI/+H4bAhf2TrEX/Fqhh23oD+/cx4Tk2GnB5zTytz/LXaeK7LjSRvUZfV96NrZ8uHHln/WW2rVPKFz4EsgZO6rWJeHhHbPZtyWI7tSfnaWcUm6PDEG15/f49q/gdhrR2W58wEQtGIYJjEGSNpMMEl8m6cxR3YR/n0/57VXvoSE5vcQvOATTOwh4ls/5tzQWrC+nJv5IiIFQkafLaklFzWJT8SzeQHu/xYT22uoM5v5DJ1p9qbH57PMmbSTZ1pMpOmSCTmYvam2Ijvd7M1EdrM3RSZ5fqJTvd85nedZyV4P0PEKP5OmwMGDftynmASe8qV6UDjeOmk3ZfOsnYh7x0oSI6/Gd17TbBXa/edUw7qCMP5EPOtnknjhdWAtng2zjr+e2INAJtm7dIiyV0SyLKNxMP2/S3O70x4Hp36ueOd58CXi3r6csO3LibvqbWf29wlZ7DNBfLD2EZrfX5OQBQ+fVhZD9sbBJu5gSuE2TSE6VfaamP1Zfr1Z4d40l7CJd6f8bjEktHo4w2W/kpdQMcf24lozAfeWRcTcMB7Cz3GavXQIrkPbSGh6O7bk+Vluh2vbctxblwDgrdw83T6KSTh6vN27/8I940nij+4msenxvVFce9bi+WssQeumYeIPOxMXKjRi6IouTNrYkS/6F6NksczHnyZ6M0G/D8dfohIJTQfiiUr/LAKTamZ88pc/AObQf4TMfxMTdzClznIqmb42TwjxV71JyI9PwjsX4jEuEi66EV+Nywn74UZsRGUSL3SyGL/XWc3gNDd/FTmb1DOUXOGPqELcFa/gq3wJNqwU7l1/EjLtEVwx+/BsWYh769JMd1I3CUcJnXw/sb2HZ74Wt/UT+uNjeLalPUXcWJ+zAcmRXdiSzje73jqd8UZe5VxWpCx4gglaNhRzeDtxnT/AtXsNIbNfwLXnbwgu4hTqWz0CxsWYcc7a7Df1S/vBHvb9DbgOb8eGlCCxYV8S63TFX+HC7B8wm4WFzrIaKnGHCRt/O65je7EuD3FXvX28E+P3EvLzK1jjJr7dc6cVVOm9N56/pxL8y9uYExZsM8f24dob5Zw6d6LYg3j+mQmAr8ql2IjKGT5n0J8/pDx2egX5rL4PV14Bn33hbIr62CNpX3vQihG4ojeT0Lg//tI1MRnNNvR7U360xkVczy/xlb2A0BlP4Nk0z9kg5r9F+Kpk7ZQ6z9qJBCftcO89rxmJTQYcf/wSFYm9YRzm6B7nlLqwkk7HZ/EQEi+8Hlu0PCE/PYPnnxngS8RXsRHxHV7O0tp8IlKwZfbZApDYoC++Sk3wl6qJ8cYR/NsnBP35PcafSMiij4m9dmR6D5ttZ5K96VmwEN6ocRMVi2zHxuWh7M3M6WZvZnl+glO93+k50zzPavZec7Vh7HjL1OmJdO2ccXtc+9bj3r7CeQ21r0n7WuOPELzgPWxwEWd2W3aFliDxwusJ/n0ErkNbKfJlOl9YJBXMM8reoN9HKHtF5JRONQ62mxdBqfoZ3j/L42DAW+tKEi65C1+ZOmAMQStHp6xFHvzr+yn7XKTO4ideK83GY8HcnTDstLMYcmgcnCaHc7eAarBOjoQUd5ZCAWxQGPEtH8Yc3YUNKYG39tWEznoO946VuI7uJviPb0i49F7MoW0ELfsSf7FzMz4rIR2uvesIm3wfxvrxFylL/JVpN0P3VW5OUMNuHCteHesJxfPPj4TM/h/G+gle/BmJF90IQWGYw9sJH+18ge4vUZmERjfhrdsNW6IizZtZvrzd8u77lpdfBJNJHyPk51cxvkTi2jwNnpCMG55qvOsvXpHY3sMBCBtzM67DOwha/pWz7E8mZ3H7KjfHW+sK/OXqZ/rafFVaEHPHfIr6D3PMHwJBYcfPeuw6CHNkFyGznsO9/XdwB+Gt1ZH4ds9CUFgW3gGRwNAa7ZIr/BUb4a3X01k3NCgU33lNSWx0Y8r1yetgJkto/ThHH1rDsYHzSGh0M+B0MoKTOgoZcW/8OWVWcWLdbhy9ZxnH+k/DX7Qc7u0rCJ18X9o7uDzYEpWcGVmx0QQv/QLvBd3xl6pB6OT7cO3fRHzHN/BVbk7w8mF4/hrD0aOWMePgslZQrdoJwZW8RrwvAeKdXcXx+9Jtqzm0naLv1UnzX/Ai5/XZpG/KAYg/kurAODPbrXFjQ0pkeiwAiDtE2Lhbce9e7QzKO72N7/xWx4/Xhjm4969Pucy1529MzL7jh+fgf5joLWkeMqH148Q3v5f4xrek/95Yf9Ku5V78Rctx7OapHL13OYl1u+E6tpeQn552NsM5QdDaiZik0+Ezm81ufQkErU1erzUy/SUNsvg+FC9muLwdzJztrPGbWvCSz50ZdNXb49rzN679G44/fNwhp+PpS8Cmmk3vLxOJr3JzCC1OYqrZEa69URm+ntQ8ayYS8tMzGOvHV7ExcV0HpTuLxBYtm3LKXPCC9yA4nIRL7iZ48WcErRmPt24X4ts+jXvrUkJ/fCxLzy0iBVdWPlsSmw50Pk9DimKLlCa+3bNYjzNoSe8z+4ycRvZm5LsfLMad1H3NRvaGLPqYkEUfZ5K9x2dcZTt7T+F0svdUeZ5aVrPklH2t7OZ5FrO3RnVDnTowfmICNpMvNzx//pDyc2LDtP2CoL/G4IrZhzfyakzMfucYJs0UBXDt34hJWuYlIwmtHye+5UP4i1fEuoPxlapJYv1rU663xcqnuf1J2RsUpuwVkVM61TiY7avS3P50x8EAiRf2c8YiYRHOF4rN70lZjsV1eAfEHDh+Y5eHA/6K/LYsmM5towlZOvi0s9hpZNbHwTY0AptctE/K2BN/TpPJOcBXrS1HH/6bo3cvIe7K15yzmrCELHgnZZk1ws8hselAZxNYtwdbqrqzDGgS126nZhG0/CuML57Eej1xRW92xoVJZ5BBUq4nLV2b+rKwMbdg4g7iL1Ka2F7DnH29UvHW7YKpdbmzv1xIUbz1ezvvJ2C8ccfHo8aFTf4iwhuDSTiKSXBqBtXONwy4xTDvF5jzc8bHw7VrNZ4tC/GVrYMtVt5pc6rcNEd2YpKez4ZGHG9jjcuxJSphS1RK2dfE+BJwHfg3s8OPt24XfNXanvq1Jb0+E3GeUzz3JRCy4D28lS/BV70doT8+hnvrUuLbPk1i3a4ErRlP8OLPMn1ukUBToV1yR3J4pZGqSJ3et+PGhS1WjoTm96Rc5Dpx4HmC1B/wybOf7DnV8FVsAuCs/526g5FK8KKPwfpJaPEgrgObcR3Zia/KpXjrdCah2R0AeDb/yviJcPRo+muzx/T7gfi2z+IvWZWgdVMJGz+Q8CHtCP7lbVxJu6pnha9s3eO/7N/k/Ov34UraLMVfqvqp182LO0TYuAG4d6/BuoOIu+YDfLU6prlJ8inlnk3zCB/dg/DRPdLs2B7609OEznru5Mc2BkKKpvvemJj9KYNdX8Um2FLVIbiI837gzB5IPl0utaCkAbW/aDl81dtm/LrWTks5vT+xYd90b5Kd96FLZ0NsLMyac8JLTIzBJMYQ/sONhI/uQdjE47MVPBtmEz66B+boXmxEFWxQePK90m9zZjMEkm+yZgIhM53CiPe8S4jtMfiUa7snr1VHm0cgtLiz1iIQ3+IhvA374i9dC/fOVWkLRiJSqGTpsyWjjE6eBZWLp+VmNXvTs3qNZfUamFcz57PXFb3Z+SG72ZsF2c7eLOR5smxnSSZ9rezmebay92rDxo1+1qwlfYlxBP092Xnu8g3wp+4XASbBOYZBf/2Qcgw9m47vbh42/raUGf2ZvfbEprcTc9tsjj2witibJ2NDiwPOGWq+io3TvVty9sY3v1fZKyKndpbGwek/z4nPlTbPf54LPj9cW3bQaWdxsmyNgz3B+M+p7ryuQ1tTCvIp2QvOrPzcEFo85QsFABN/5PgyNVl8r5JzPOS3T1IyyL17jXOd9Tm5vup4rrv2rCVsbFKRvWh5Yq8d5WRqatZmcGbdyc9vi51LzK0zSGh6Bxg3wSuGEz6qO2EjuxG0/Cuuu3ovdevAex9a9u9P/wvt5Nfg3vN3ymsISfVlTsivHxA2wXnv05yNnlGfMLPxbjZe24mCfh+FObyDhNZPQfxR3DtX4S8TibdhXxJaPOC8hi2Z/22KBJoK7ZIrQifenfIhiTce99alBKXahMSXdFqZe8Mc7G9DMAc2gTcec2xfmm8o/SUqpfwcvOiTlJngyct62CJlUq73rJvqfJt+YBPu7cud612edE8rMgc2EfTXGBKa3oEtUhrrSvpfIXmdzaR/vdbN9z9Yml8CkbXSCZnQEiRe1I/YG8cT028sCQ2vc07BXz6M8JFdCRvdA/d/ziZitkRF51v1VP8lXHqv8zy1rz7+mAsHOWuyLh+GSfqWP3mQCxAy46mU45Ai7hBhY29NGpSHENflE3w12p/c3mxwb5hD0Irhznvj90JCTLrvjQ0pgXU7Qevevty5fcIx5/1IYkOKpX3s/5bgina+JPHW65X5+qYrRjuPERSOt04G55xn4324oC5Ur+4sH5PZzLoMudx4a13p/Lh3nbN2fPyRNOvX+So6axunPosheQYlgGf1eEJmPusURqq2Iq7755BSvM9YyPw3ncJP4xucC5Jnkrg9Kf9aDLj00S5SGGX1s8W9aR4hUx/CvXUpJMZiju0j5OeXUwZhvlRnDqWXvYAzCy02+vi6sOCc9RNzAFKvfZ5KVrPXutJfyPu77y3FisHlV2c/e+MvvY/4S+/LMHuDlw3JfvaCcxZabHSas9GMNw5io7FJa35nSzbyPMvvd+o8z6Svle08z0b2tm8HYWEwZVr6ueuJmo6JPwxk/KV6VmWUve4ti3BtXeoUxGOj8fz5PUG/jwDAV6PDSTPakyVnrzf57Dtlr4hk4lTjYM5LmhCWxc9mSD+LXXujCB03APem+U4mxx0i6LdBKWMsf0SVkzaRnDnbclmdTZTacvpZfPyFZj0DgJRlbEzCMYKWD8PGHHCyN/n6VJkc/mV7ir5Xh7BUe4UATt7GRkPSeurgFM6JjU6ZHW+itxD8yzvOGVjxR50cWzs5ZQa1DS6KTT5b6dePnOXSju0Dvw9zYBMhv7yV8ti+09gc3imy34qJO+Qsu9JnFDbVpq8p4o8Q9m1f7JqpEHvQaedfY3D/tyilnclfDgDYiMoktHyQmNvmENvtM7w1LseV1N7iw9rxRas7KcEO3nr3NMe4qfjLN3A2rQU862dhDm3DHNqWsq+JP7wU/nOqOdevmZDyt+neujTNa3P/MyNLry1F8lmP9XvhL1MLXEkz+U/429TeKJLX6S9UcoU5upuQea8RMu+1k65LrH1NyvIfrsPbYN4bpDf3yrpDSLjkrkyfx1uzA/5FH+E6spOgtRMJWjsx7fV1u6VbaA+Z/ya2WHlnx2zAlqyKv2RV3P8txv3fkpSNQZZEt+HQYbjphlPP7vOXu4CEcheQ0PoJPOtn4lk9DvfWpbi3rUg5TSrD+1a4iMR6PQlaPQ7WzaDouhkp1/lK13LWMMuEZ+PPuPc408SMLz7l2+hkiXW7Ed/xdbwXdOfoBd3TXBe86BOCFzubssX0GY0/aUaX6/A2Qua/Scj8N096vjTvjSeYxIZ9nXVPj+6myPCr09zWH14ab80OadubvAmqcZNYv1eGr8vs3whbkjaPqdP5lDO+4dTvgzGGbl3g3fct66KgTm3nfkcfTrvTvTm0nSJDnTVcE+v1JP6KV1KuS7j0AdybF+A6to+wsbekuV9ivaSOQSaCFw9K2RDIs3kBRT+6MM31xwbMxp6wC3zKWnU9viQ8qePrrd4G9+6/CFr+Ff6ydXDtWYfvvGZZKtqLSMGT5c8W6yfonxkE/TPjpMewQeEktHr4lM8V8vMrJ2Vu0N9T4O8pFOXkz1TIevb6qrU56b7bd1h+WQj9roPw8OOZnFPZ69kwm6IbZqdcl5XsBQibdA/ubcvSXBa8dDDBSwdDiUowYFa2sjereQ5Zf79zM89TrjvF+xAebrjqSg/TZyRy/z2WIkVO2CcleRPUkBJ4a1110uMnXHpvyhckyUJmPJXyN3hs4NwMC+XJ3NuWErzki5PbHlGZ+HbPpH+fVNmLsldEsuBU4+Dg8xrDkSNZ/2zOhGfLIjxbFp18f5eH+LZPp7ls+3bLmrUwqffb2NDTy+KMZCWLEy+6Cc+6abj3/UPIwvdg4XspxajEer2ytL570c8uPemysInOcUrOR5MYQ/DyoQQvH5ruYyQ0v+d4oTYxhuCVo1KuC1n86fHXdE41EhteD0B8x9dTsjfleX+4Cfe2ZVjj5thDx5dVC/p9VMrZYa7D2ykyNG1uxl35Gt6kPoF7158w9k7S230l/rLH0p817nLjq9YGX7U2mJj9eNZOImj1eIrtWsCdvbfzzNAKzJgJV12Z9m6+85qe1DfzrJlA6E/O30lcxzfx1k3ahNwY4ts/T+jEu056DRZDwmWPp2RiRty7/iRs6kPpXpfRa0s+My3+0vudC4LC8Z3XDPf25bg3zk05i8BbrXWmzy0SaCq0S65IuPQ+POum4t61BnNsD2Dwl6qG94LuJDa8LuV2vnMvhDpX4d++ChNzAPw+bNEy+Co2IbHJgFMWLAkuQmzfbwj+7RPcWxY5a6O5PPgjquCtfTWJjfufdBf3f7/h+fcXYq/54Pgp4S4PsV0+IWTuK4ROuhsbWoLY5g/wxoedaVAf6tfLxmn0nhBnw5k6nTEHt2LiDmbpbvGXv4i/ZFVC1k7AHtyKDY3AV6M98Zc+AEGhWX/+HOI790K8NTrg2rMGc3QPWD+2WPl035uEyx7DFq+AZ+1EXAc2gz8RG14K33nNSGh+b5rZFCZmP56NzrotvmptMh0Ypz61PrN13NOVyftwxeXw6WfOrPY6tbO/RIItVo7Yvt8SvPB9PFt+hcQYbInKJNbvRWKjm079ANmVvFbd+a3xVT2+yWpik9sw8UecDQy98fiqtXE22hMRyYT/3AtJuOQe3JsXOLOU4g9jw0o6n9mX3I095/wcf86sZm98iwfx1u160v3HjLW4XNCze8anMJ9J9gatHoc5vD3g2Zsb0uT5Kfpa2cnzdGXyPvToHsz4iYnMmgPduhy/i2vP306xAUis2yXXjruvfEN85zZ0Xpc3Blu0HN4alzun4qfaf+X4HZS9IpJ9pxoHJy9Ilp3P5vT4IyoT3+oRPJvmYw5uxsQehJBi+Co0IqHp7fjPbZDm9rPmQLMyi6kS/wuxHT44rSw+pcyyOCiU2N7DCVn0Ee4Ns3HFHcZfvAKJ9XqlO2Y/XbZoWRIv6IF75x/OGDYxFhsWgb/cBc5G8KmWLPVe0B38Pjz/zHDWmMdii52Lt/rlzhI6GWxAniOCw4lv+ywh/y3AvzsKE7sfPGH4ytcjsfEt+Kq2PPVrDS9FYpNbSWxyK64dK2kVVpYGS+HDjywXN4bSpU9/KUBf1ZbE9RxK8G+f4Nq9BqzFX7YOCU1vx3eqQnfSa3NvmuvsoZKF12b3bXDOemz5EKRarz++4xvO3+aMJ7GeEBIa3Uzixbed9usSORvM6Z5WEh0dnaU7FitWjCNHjpz6hoWIjklaefV4zJ1nee5/lldfNrRulbu7oKeWF49HUNK3+4mX3H3Wnzu3jsebb/uZNQcmjjUULXr23t+ckBf/RgJJx8NRsmTJLP0hZzW/M6NjfpyORVq5cTwOH7b0uNbStjU889TpLc8RiBzT30ZaRYsWpWefwwR54MsvCvcyK/rbOE7H4uzmdyDpvXYE4jhYa+l3k6VUKfj4g7zx+ZuX/h4K0lh32zbLTbdaLr0EXnkpb7zXWZGX/h4CScfBkV+OQ0b5nX/+zxM5y74fY6lYAVqefIaaFABdOxvi4uCnWYFuiYiIZGbSFIiLgz7X5q8vRSUtYwydrzasi4L16/N1vVBEJF+J+gf+2wpXXK4cLegqVTLccrNh3i+wYKGyViQQVGgXScfqNZbVa+DaXga3Wx2Sgqh2bUNkLZg85cw3jBERkdyRmGgZO95ycROoUV15nN9d0QGCgzPeFFVERHLezFmWoCBoo6WtC4Xr+kD16vDeB5Zjx5S3ImebCu0i6fh+jKVoUbiqY6BbIrmpaxfDxk2wek2gWyIiIumZMxf274e+ms1eIBQvZmjbGmbOgvh4Df5FRHKbz2eZ8zM0vwSKFVOWFgYej+GJRw379sPgL5W1ImebCu0iJ9ix0zL/F+jaGcLD1RkpyC5vB+HhMGmKOiAiInmNtZYxYy1Vq0DTiwPdGskpV3cyHD0G8+YHuiUiIgXf7yth/wEtG1PY1K1j6N4VJkyCjZs01hU5m1RoFznB2HEWY6Bnd3VGCrrwcMMVHeDnuc5meyIiknf8tdpZV7ZXD4MxyuSC4qILoWIFmDpduSsikttmzrIULeLMaJfC5bZbDUWLwkefaKlUkbNJhXaRVGJiLNN+hHZtoWxZDeoLg66dDQkJMOOnQLdERERSGzveWcbtyisC3RLJScYYru5kWPkHbN+ugb+ISG6Jj7fMXwCtW0NIiMa2hU3x4oYBtxhW/A6/LAx0a0QKDxXaRVKZORuOHdNs9sKkZg1D3TrO8jH6pl9EJG/Yvccyfz50vhrCwpTJBU2njuBywdQflbsiIrll4SKIidGyMYVZ185Q7Xz45FOrvVFEzhIV2kWSWGuZMMlSswZcUDfQrZGzqWsXw5b/YNWfgW6JiIgATJhoseiL74KqdGnDJc1g+o/g9WrgLyKSG2bOspQuDRc2DHRLJFA8HsMD9xl27oTvfgh0a0QKBxXaRZL8tRo2boTu3bQWbGHTvi0ULQITJ2uwLyISaHFxlslToVVLKF9eeVxQXdPJsH8/LFka6JaIiBQ8hw5ZFi+BDu3B7VaWFmaNGxlaXwajvrbs26/xrkhuU6FdJMn4iZYiRZzOiBQuoaGGqzrCvPmo8yEiEmCzZsPhw9C7pwoDBdmlzeGcktoUVUQkN8ydBz6flo0Rx913GBITYeQoZa5IblOhXQQ4cMAybz5c1VFrwRZWPbsbfD6YOEmdDxGRQLHWMmacpUZ1aNgg0K2R3OTxGDp2hEW/wX59yS0ikqNmzrZUrQo1agS6JZIXVKxo6Hw1TJ4KO3Yqc0VykwrtIsDU6eD1Qo+uKrIXVpUqGS5tDhMno41iREQC5PeVsOlf6N1Ly7gVBtdc5XzJPWNmoFsiIlJw7Npl+fMvZza7slSS3XyjweWCYcM11hXJTSq0S6Hn81kmTrY0bgSVK6sjUpj17mk4eBDm/BzoloiIFE5jx1kiSsDl7QLdEjkbKlc2NKjvLB9jrQb+IiI5YdYc518tiSqplSlj6NUDfpoJm/5V5orkFhXapdD7bQns2QPdNZu90GvcCKqdD2PGacAvInK2bd9hWbgIunSGkBBlcmFxTSfD1q3w51+BbomISP5nreWnWZb69eDcc5Wlkla/6wxhYTD0K411RXKLCu1S6E2dZjmnJLRsEeiWSKAZY+jV07B+A/yxKtCtEREpXMZPsLhc0KObCgOFSds2EB4O07QpqojIGduwATZvhis6KEvlZCVKGK7rY5j/C/y9TrkrkhtUaJdCbd9+y2+/QceOzqZcIldcDsWLO7PaRUTk7IiJsUyd7hRdS5dWHhcmYWGGy9vDz/Pg2DFlr4jImZg52+J2Q9vWgW6J5FV9ekNECc1qF8ktKrRLofbjDPD5nc24RABCQw1dO8PCX7Uju4jI2fLjT3DsGPTqoTwujK7pZIiLg9naI0VE5LT5fJbZc6BZU4iIUJ5K+sLDDX2uNSxeAus0q10kx6nQLoWWtZZpP1oaNtAmqJJWj27Ojuzf/6COh4hIbvP7LWPHW+rUgXoXKI8Lozq1nT1Spmr5GBGR0/bHKti7D664XFkqmevZHYoVg+GjlLsiOU2Fdim0Vv0J27Y5s6hEUitTxnDlFTBlGkRHq/MhIpKbliyDrVuhd0/lcWFljOGaToa//4ZNm5S7IiKnY/oMS9Ei0KploFsieV14uOHaXoaFv8L69cpdkZykQrsUWlOnW8LDoY3Wr5N0XN/HkJgIY8er4yEikpvGjrOUKqX1ZAu7KzpAUJBmtYuInI6YGMv8X6BdOwgJ0RfXcmq9ekCRIjBCs9pFcpQK7VIoHT1qmTsPOrR3NuESOVGVKoZWLWH8RKfjKiIiOW/zFsuSpdC9qyEoSHlcmEVEOLk7YyYkJCh3RUSyY+58iIuDq65UlkrWFCtm6NUD5v2is8lEcpIK7VIozZ4D8fFwzdXqiEjG+l1nOHIEJk8NdEtERAqmH8ZagoOha5dAt0Tygms6GQ4fhgW/BrolIiL5y48zLJUqQb0LAt0SyU+u7WUIC4MRo1VoF8kpKrRLoTR1uqV6NagdGeiWSF52QV1Do4vgux+sZteJiOSw6IOWGT9BxyuhZIS++BZo0hjKlYNpWj5GRCTLduy0/LHKmc1ujPJUsq5ECUOPbvDzXNiyRdkrkhNUaJdCZ/0Gy7ooZza7OiJyKjdcb9i3D2bODnRLREQKlkmTISHBmU0lAuByGTp1hGXLYdcuDfhFRLJixk9gDFx5RaBbIvlR32sNwcEw8mvlrkhOUKFdCp1p0y1BQXDF5YFuieQHFzeBWrVg1GiL16vOh4hIToiPt4ybYGl+CVStokK7HHf1Vc7fw7QflbkiIqfi91t+/MnS6CIoX055KtlXsqShWxeYPRu271D2ipwpFdqlUImPt/w0Cy5r6ZwmJXIqxhhuvdmwfYezQZuIiJy52T9DdDT06a0slrTKlzdc3ASmzwCfTwN+EZHM/PkX7NwJnToqT+X0XdfH4HLD198qd0XOlArtUqgsWAhHjmgTVMmeFpdCndowfIQlMVGdDxGRM2Gt5fsfLNWrQ+NGgW6N5EVXdzLs3g0rfg90S0RE8rbpMyxhYXBZq0C3RPKz0qUNV3eC6T/Cnj0a74qcCRXapVCZMs1ybnkN7CV7jDEMuMWwazdMmx7o1oiI5G/LlsOmf501QbVXiqSnVQsoUdzZvF5ERNIXG2uZOw/atYWwMOWpnJl+fQ3WD998r+wVORMqtEuhsWOnZcXv0Okqg8uljohkT7OmUL8ejBxtiY9X50NE5HR994OlVCm4vF2gWyJ5VXCw4cor4JcFcPCgMldEJD3zF0BsLFx1pca2cubOPdfJ3ilT4cABZa/I6VKhXQqN6T9ajIFOVwW6JZIfJc9q37MXpkwLdGtERPKnTZssS5dBz+6GoCAVBiRj13QyeL0wc1agWyIikjf9OMNSoQI0qB/olkhBccP1hoQE+H6MCu0ip0uFdikUfD7L9B+h6cVQrqwG9nJ6GjeCCxvCqNGWuDh1PkREsuuHsZaQEOjaOdAtkbyuWjVDnTrO8jHWKnNFRFLbtcvy+0roeIXO1pacU7myoV0bGD8RDh9W9oqcDhXapVBYuhz27HVmR4mcLmMMAwcY9h+AseMD3RoRkfzlwAHLzFlwVUcoUUJ5LKd2TSfDpn/h73WBbomISN7y409gLXS8MtAtkYLmxhsMsbEa74qcLhXapVCYNs0SUQJatgh0SyS/a9jAcGlzGP211bf8IiLZMGacJdEL1/ZSkV2y5vJ2EBqqTVFFRFLz+SxTp1uaNIYK5ypTJWfVqG5o2cLpt8XEKH9FskuFdinwoqMtCxfBlVei9WAlR9w50HAsBkZ9rY6HiEhWHD1qGT8R2rSGyucpiyVrihRxTmGfPQdiY5W5IiIAy1fA7t3Q+RrlqeSOm24wHDkCEyYFuiUi+Y8K7VLgzZgJXq+WjZGcU62a4aorYdx42LVbA38RkVOZMAmOHYMb+ymLJXuu7mSIiYG58wLdEhGRvGHKVEuJ4tBKZ2tLLqlbx3BxE/juB0t8vMa7ItmhQrsUaNZapk231LsAzq+qwb3knFtvcf6ehn2ljoeISGbi4izfj7E0awq1aiqLJXsa1IfK58GUacpbEZHoaMuCX6FjRwgOVqZK7rn5RkN0NEyZFuiWiOQvKrRLgbZmLWzeotnskvPKlzP07OFsRLRxkwb/IiIZmTYdDh50TkMWyS5jDF27GP5aDf+sV96KSOH240/g80Hnq5WpkrsubGhoUB+++daSmKj8FckqFdqlQJsyzRIWCu3aBrolUhDd2M9QJBy+GKKOh4hIerxeyzffW+rXczaTFjkdnTo6m6KOHa+8FZHCy1rLlGlOplatokyV3HfzjYY9e2HGT4FuiUj+oUK7FFjHjll+/hnatYPwcHVEJOcVL264oZ9h0W/wxyoN/kVETjRrtrNhm2azy5koVszQ8UqYPRsOHlTeikjhtOpP2LoVumgTVDlLml4MkbVg1DcWr1f5K5IVKrRLgTVrNsTGQdfO6ohI7undE8qUhs++sFirzoeISDKv1zLya0uN6nBJs0C3RvK7nt0NCYlaK1ZECq8pUy1Fi0DbNoFuiRQWxhhuvtGwYwfM+TnQrRHJH1RolwLJWsukKc7gvk7tQLdGCrKQEMOAWw1r1sL8XwLdGhGRvGPWbGfm3a39DcboS285M+dXNTRpDBMmaladiBQ+h49Y5s6HDh0gNFSZKmdPyxZQ7XwYPkr5K5IVKrRLgRQVBes3QJfOGtxL7rvqSji/Knw+RJ0PERFwZrN/NdJSqya0ahno1khB0auHs1bsgoWBbomIyNk1axYkJGgTVDn7XC5nYtnWrTBzVqBbI5L3qdAuBdKkqZbQULji8kC3RAoDt9tw5+2Gbdtg8tRAt0ZEJPBm/AQ7dsCAW/SFt+Sc5pfAuedqU1QRKVystUyeZomsBbVqKlPl7LuspbNW+1cjLImJymCRzKjQLgVOTIxl9mxo3w6KFlVHRM6OS5vDhQ2dzkdMjDofIlJ4JSZaho+01KntfDaK5BS329Cjm2HVn7B+vbJWRAqHv9fBxo3QWZugSoAYYxg4wLBzF0ydHujWiORtKrRLgTNrjrMJqnZjl7PJGMPddxqio+Hb7zX4F5HCa9qPsGu3ZrNL7ri6E4SGwtgJyloRKRwmT3HO1u7QPtAtkcKsWVNoUB9GjLLExyuDRTKiQrsUOJOmWKpXh7p1At0SKWzq1jG0bQPffQ/796vzISKFT0KCZeQoS70LnAGZSE4rXsxwZQdns92DB5W1IlKwHTlimTXHKbIXKaIvryVwkme179sH4ycGujUieZcK7VKgrIuy/POPM5tds+gkEO64zZCQ6CwhIyJS2Hz3QwJ79sJttyqHJff07mVISNBAX0QKvhkzIT4eunVVpkrgXXSh4eIm8PU3Wi5VJCMqtEuBMnmqJSREm6BK4FSqZOjWBaZMhf/+U+dDRAqPw0csQ4bG0/RiaNJYBQHJPVWrGFpcCuPGW+LilLUiUjBZa5k02VKnDkTWUq5K3jBwgOHgIfhhbKBbIpI3qdAuBUZMjGVW0iaoxYqpIyKB0/8mQ3AIfD5Eg38RKTxGjrIcOWK5+05lsOS+6/saDh2G6TMC3RIRkdyx8g/YvAW6d1GuSt5Rt46hZQv47nurJdxE0qFCuxQYM2ZCbCx07ayOiARWyZKGftcZflkAf61W50NECr6dOy3jJkCXzkHUqK4cltzXoD5cUBe++8Hi8ylrRaTgmTjZUqyYM5FMJC+5Y6AhNlbLpYqkR4V2KRCstYyfYKlTGy6oqwG+BF6f3lDqHPhiiMVadUBEpGAbPNTicsE9d4YGuilSSBhjuP46w44dMH9BoFsjIpKz9u+3zP8FOnWEkBCNbyVvOb+qoUsXmDgJNm/RWFckNRXapUBY8btzWl2P7uqESN4QFma46QbDH6tg2fJAt0ZEJPesW+cs3XZtbyhXTl1LOXtaXgqVKjmbsulLbREpSKZOB58PumrZGMmjbu1vCAuDTz9T/oqkptGQFAjjxlsiIqBdm0C3ROS4ztdAuXIw+EsVAESkYLLW8tEgS0QJuOE6FQPk7HK7Ddf1MUT946xlLCJSEPh8lslTLY0bQeXzlK2SN5WMMNx0o2HRYli2XGNdkWQqtEu+t3On5dffnKKmTquTvCQ42HDLzYZ1UbBgYaBbIyKS82bOgj//ctbqLFJEGSxnX8croGRJGPW1BvkiUjD8tgR274buXZWrkrf16gEVKsDHg7RfikgyFdol35sw2WKAbjqtTvKgjlfAeefBl8PU+RCRguXYMcunnzv7o1zdKdCtkcIqJMSZ1b5sOaxZq5wVkfxv4iRLqVLQskWgWyKSueBgw913GDb9C5OnBro1InmDCu2Sr8XHW6ZOg1YtoVxZFdol7/F4DAP6O52POXMD3RoRkZwzbITlQDQ8/KDB5VIGS+B06wIlisOIkSq0i0j+tnWbZfES6HKNM44QyetaXwaNG8EXQywHDiiHRVRol3xt1hw4fBh69lAnRPKudm2henUY9pXF61XnQ0Tyv03/WsaOhWuuhjq1lcESWOHhhj7XOuvErotSzopI/jVuvMXj0dnakn8YY3jkQUN8PAzSxqgiKrRL/mWtZcxYS/VqcGHDQLdGJGMul2HgrYZt2+HHGYFujYjImbHW8sFHlvAicMdtKgRI3tCzOxQtCiNGaZAvIvnTsWOWaT9C+7ZQqpTyVfKPypUN/a6Dn2bBit+Vw1K4qdAu+day5bBxE/TpbTBGHRHJ21pcCnXrwFcjLYmJ6nyISP414yf4fSXcfpshIkL5K3lDkSKGa3sZFiyEDRuVsyKS/0z7EWJjoXdPZavkPzf2M1SsAO+8b0lIUA5L4aVCu+Rb3/3gbBJzeftAt0Tk1IwxDLjFsGcPTNesdhHJpw4csHw0yFK/HnTtHOjWiKTVqyeEh2tWu4jkPz6fZdx4J19ra0k2yYdCQgwPP2jYuhW++S7QrREJHBXaJV/asNGydBn06mEIDlZHRPKHphc7s9pHjdasdhHJn97/yBIXB08+pg1QJe8pXszQqwfMmw//blbOikj+8dsS2L7DGd+K5FfNmhrat3W+8N70r3JYCicV2iVf+v4HS2ioZtNJ/mKM4Zb+hl27naUXRETyk18WWObOg1tuNlSpokKA5E3X9jKEhmhWu4jkL2PHWcqUhtaXBbolImfmwfsNRcLh1dctXq+yWAofFdol39m3zzJrDlx9FRQvroG+5C+XNIU6tWHkaHU8RCT/OHLE8u4HlhrV4fq+gW6NSMYiIgzdu8OcnzWrXUTyh03/WpavgB7dDR6PxreSv5UsaXj0YUPUPzD6m0C3RuTsU6Fd8p1xEyw+nzNjSSS/McZwy82GnbtgxsxAt0ZEJGs+HmSJjoYnH1cRQPK+6/sYwsJg6DAV2kUk7xs73hIcDJ2vDnRLRHJGm9aGy9vDVyMs69cri6VwUaFd8pWYGMvEyXBZK6hYseAM9OfPn0+/fv1o1aoVV1xxBd98k/lXv++//z6XXHIJH330UZrLN2/ezK233kr79u159tlniYmJSXP9ypUr6dy580mXp2fq1Klccskl6d52yJAhXHnllSm/79ixg0suuSTlvzZt2tCzZ0+ef/55/vjjj5Pu/9JLL9G/f/9TtqGgan4JRNbSrHYRyR/m/2KZPgNuuB5qRxac7D1R6izu3r37GWdxs2bNlMUBEhFh6NMb5v0CUf8oZ0Uk7zp82PLTTLjicuezS9LK6WzOaJz8+8bdyuYc9vADhogS8Mob2p9MChcV2iVfmTgZjhyB6/sWnE7IqlWrePLJJ6lbty7vvPMO3bt3Z9CgQXz3Xfpbdf/7779MmTKFIkWKnHTdyy+/TKVKlXj11Vf5999/GTFiRMp1fr+f999/n7vuuovw8PBceS333XcfX375Je+99x633HILhw8f5s477+TLL7/MlefLr5Jnte/YAbNmB7o1IiIZ27/f8tY7lshacGv/gpO9Jzoxizt37nzGWfzuu+8qiwOoT29DsWIwZKgG9yKSd02YBPHx0Ftna58kN7I5/XGy5Z0JywKSzZ9++mmuPF9eULy44fFHDRs3KoulcPEEugEiWRUfb/nue0uTxnBB3YLTERk2bBgNGzbkmWeeAeDyyy9n3759DBs2jJ49exIUFJTm9u+++y59+vThxx9/THN5TEwMa9as4Z133qFkyZIcOXKEb775hrvuuguAyZMn4/F4uOqqq3LttVSpUoV69eoB0KhRI6655hoGDx7Ml19+yUUXXUTjxo1z7bnzmxaXQq2azmZtHS5HSzGISJ5jreX1tyyxcfDcMwV7yZgTs7hZs2YcPnz4jLK4cuXK7NmzR1kcIEWLGvpdB58Ptvz5l6VB/YL79ysi+VN8vGXceEuzplC9mj6jTpQb2ZzeOHnikvV4XK6AZPOgQYOoW7dugc3mFpcaunWxfPMdNG5kadZUf+dS8GlGu+QbU6fDgWi4+caC9eH8zz//cPHFF6e5LLkT8ddff6W5/Oeff2bLli3cdNNNJz1OYmIiACEhIQCEhoamXHbs2DEGDx7Mww8/jDFn9/gNGDCAMmXKMGHChLP6vHmdMYb+Nxm2bYfZPwe6NSIiJ5s4GRYvgXvuNFStUrCy90TK4oKpZ3c4pyQM/tJirWbTiUjeMnOWM769rk/BztjTdbay+fPpf/BYj4sDks1ly5Yt8Nl83z2GaufDK69b9u9XFkvBp0K75AuJiZavv7XUrwcXNgx0a3JWQkLCSd/GBwcHA85acsni4uL46KOPuPvuuwkLCzvpcUqUKEGFChUYM2YMhw4dYuLEidSpUwdwZgNcfPHFKd+iZ4ff78frS/rP68Xr9WZrsOp2u2ncuDGrV6/O9nMXdK1aQo3qzqx2n0+dDhHJO/7bavnkU0vTi6FH90C3JvflRhYfPHgwZ7M4KYOVxVkXFma48QbDH6tg2fJAt0ZE5Di/3/Lt95ZaNaFxo0C3Jm86W+PkprXOpX7VMtluX05kc7NmzQp8NoeEGP73vCEmxim2+/0a90rBpqVjJF/4aRbs2QOPP2LO+jfNua1SpUqsXbs2zWVr1qwB4PDhwymXjRw5klKlStGxY8cMH+vRRx/lmWee4bPPPuO8887jscceY+vWrUyZMoXRo0efVvsuv/zyVL8df4wSJUpk+THKli1LdHT0aT1/Qeas1Q7PPG+Z8zNc0SHQLRIRAa/X8vKrlpAQePqJgpe76clfWXycsvjUunaGH8bAoM8tjRuB213w/55FJO9b9Bv8txVeeK5w5OzpOFvZ/N3DpzcIy4lsLleuXKHI5mrnG+6/F95+1/Lt99DvukC3SCT3qNAueZ7Xaxn9tbMRW7OmgW5NzuvevTtvv/02EydOpF27dqxatYpvv/0WAJfLOelkx44dfP311wwaNCjTjtill17Kjz/+yJ49e6hYsSJut5tHH32Uvn37UrZsWcaOHcuoUaMAuPHGG+nVq9cp2/f5559T5J/JAHjr9wZg4sSJzJs3L8uvUadrZ6xVS6heDYaPtLRvpwKAiATeiFGWv9fBy/8zlC5dOD6TTszitWvXnnEWHzt2jIiIiBzL4uRT3pMpi7MmONhwx0D438uWn2ZCp9xbgldEJMu++c5Svhy0bR3oluRduZHN6Y2Ty0XE8cOCdQx/vSugbM4tXa6B5Suc5dwubFiw9t0TSU2Fdsnz5s6Hbdvh1ZcL5rf9nTt3ZsOGDbz99tu88cYbhIWFcffdd/Puu+9yzjnnADBo0CCaN29OlSpVOHLkCOCEckJCAkeOHKFo0aIpxyY0NJTKlSsDsHTpUjZs2MArr7zC+vXrGTx4MIMHDwZg4MCBNGzYkJo1a2bavlq1alEirjQAiUmn2C1cuDBbr3Hv3r2ULFkyW/cpLFwuQ/+b4Ln/WX6eBx3aB7pFIlKYrVlrGTkKrrwC2rYpeJmbkROzODQ0lHvuueeMsrhMmTIcOXIkx7I4PDw8zWXK4qxr3w6+HwuDh1ratnGWlBERCZTVayx//gX331uwNxo/U7mRzemNk/+Z9g6f/fgHg4eNBM5uNu/Zs6fQZLMxhscfgb//trzwomXYECheXH//UvCo0C55mtdr+Wq4pdr50KpFoFuTO5K/Tb/99tvZs2cPtWrVSjklLnkd1//++4/169ef9O342LFjGTt2LJMnT6Zs2bJprvN6vXzwwQfcc889hIaG8vvvv9O4cWOqVq0KQJMmTVi5cuUpOxBnyuv1smLFCi688MJcfZ78rPVlUO18GDHS0q6NZrWLSGDExjpLxpQpAw/dX7g+h07M4goVKrBlyxZAWVwQGGO49y64537L92Og/8l75YmInDXffm8pVgyu6RToluRtZyubl2/YzcU1ywckm5csWULDhgVsE7pMFCtmePlFuPs+y0uvWt563Zl4JlKQqNAuedrMWc7ada+9bAr8B3Dx4sUpXrw4RYoUYdy4cdSvXz8l7J9++mliYmLS3P65557joosuokePHkRERJz0eBMmTKBYsWJ06HB8zbm4uLiUn2NjY8/KqWrDhg1j7969dO9eCHbTO00ul+Hmm+CFFy3zfoH2bQPdIhEpjD751LJ9B3z0vqFo0YKduRlJzmJAWVzANGxgaH2Z5etvLJ2vhlKlCuffuIgE1pb/fPyyAG7oB+Hh+hzKirOSzQm+lJ/PZjbv2bOn0GVzndqGB+6Fd963jBgFt9wc6BaJ5CwV2iXPSky0fDXCUjvSWce6oFq9ejWrVq2iZs2aHDt2jLlz57Jw4UK++OKLlNsk74qeWnBwMOXKlaNx48YnXXf48GGGDh3KBx98kHLZhRdeyCeffMKUKVMAWLFiBffcc0+OvpYtW7YQERFBYmIiO3bsYNasWSxevJjbbruNRo0a5ehzFTRtW8NXVWH4CEvb1vpmX0TOroW/WiZNgeuvg4suLHyfPydmcXJ+nUkWHzp0SFmcx9x1u2Hhr5ahwy2PP1L4/s5FJPBGf52AxwO9uusz6FRyI5vTGyc3ql6WjyavCEg233PPPYUym7t2gdVrYdhwS906cLmWT5UCRIV2ybOmTYedu+DRhwvm2uzJPB4Ps2fP5ssvv8QYQ5MmTRg8eDA1atQ47cccMmQIrVq1onbt2imXRUZGcu+99/L5558DcN999+X46XAff/wxACEhIZQqVYp69erx+eefF9pT1bPD5TL0v9HZrG3+L9C2TaBbJCKFxf79ljfestSsAQNvLbh5m5kTs/jCCy884yweNGiQsjiPqVTJ0KObZdwE6NXdUq1a4fx7F5HAiD5omTQlgSs76KyarMiNbE5vnFy7Uinu79I4INncqlWrlLXlCxNjDI8+BOvXW158xVK3rp9iRQPdKpGcYU73lJjo6Ogs3bFYsWKF8oMjMzomaaV3POLjLX36WSqcC4M+KtiF9hPlxb+PoMWfApB4yd1n/bnz4vHILT6f5aZbLG43DB+a8XJJhemYZIWOh6NkyZJZ+qDMan5nRsf8uPx+LKy1PP6UZcXvMHSw4fyqZ5a3efV4BCLH8uqxCJS8cjwOHXL6mHXrwLtvBaaPmVeORV6gY3F28zuQ9F7D0K/8fDUCRo8wVK1SeMa36clLfw8a6wbO1m2W2+6wVK3i5uMP/AQH6/+Lwvz3kCy/HIeM8tt1thsikhWTJsO+fTBwQOEqskvh5nYb+t9s2PQvzP8l0K0RkcJg/ET4bTHcc+eZF9lF8oMSJQy39jcsXQYLFga6NSJSWMTFWcZPgNaXeQp9kV0k2XmVDM8+ZViz1sdHn+Tr7xJFUqjQLnlOTIxl1DeWJo0L5zqxUri1awNVq8BXIyx+vzobIpJ7Nm+xDPrM0qwp9Chc+3BJIdejG1Q7Hz4eZImPV9aKSO6bOh0OHYb+N4UEuikieUqrloZbbg5h4mT48SdlsuR/KrRLnjNuAkRHw22FdJ1YKdzcbkP/m5xZ7fM0q11EckliouWlVyzhYfD0Ezp7TAoXj8fw4P2Gnbvg628D3RoRKegSEy3ffGtpUB8aXaRt8kROdO/dITS6CN5+17J+g4rtkr+p0C55ysGDlq+/tVzaHOpdoEG/FE5t2yTNah+uWe0ikjuGDbf8sx6eeMxoQzYplBpdZGjfDkZ/Y9mxU1krIrnnp5mwZy/cdIPyViQ9Ho/hf88ZiheHZ5+3HDmiXJb8S4V2yVOGDbfExsBdd6gTIoVX8qz2fzdrVruI5Lx/1lu++RY6dXRO1xUprO650+B2OUvIiIjkBq/XMvobS2QtaNY00K0RybvOOcfw0guGXbvhtTc04UzyLxXaJc/4d7Nl0mTo0gVtyCaFXts2mtUuIjnP67W88balRAm49x5lrRRuZcsabr7JsGAh/LpIWSsiOW/ufNi23ZnNrmXaRDLXoL7hnrsMC36Fb74LdGtETo8K7ZJnDPrMEhYGA/qrAyLidhtuudmZ1T53fqBbIyIFxQ9j4Z9/4KEHDMWLKW9F+vSG86vCux9YYmJUbBeRnOP3W0aNtlStCq1aBro1IvlD757Qri0M/tLy+0rlsuQ/KrRLnrBkqWXxErj5JkNEhAb+IgBtWkPVqvDVCM1qF5Ezt22b5cthllYtnM8XEYGgIMMTjxn27oUhQ5W1IpJzfl30//buO7yKou3j+HeSQAIhofcOylIVpCPYEOwKKvaOCqJ0wQYCUuwYAUEEBAX0sXffRwQfRZodRYUFBAKCgPQQSCDJvH9sKjUkOS35fa4rF+TknJPZO3vm3r13dgbWrYdbbzKEhekcVyQ3jDE8PMRQswaMfMKyY4dys4QWFdol4FJSLJMmW6pXg2u6B7o1IsEjPNxw522GDRs0ql1E8sdayzPPW4oVg0EDdPu6SHZNmxi6XwXvvg9/rtQJvYjkn7WW1+dYqlWDzhcEujUioaVkScPoUYYDB+HxUZaUFOVmCR0qtEvAvf3uIdZvgD69DcWL68RfJLvso9pTU3WAISJ589nn8PMvXq6tWFG5VuRIve4xVCgPTz+nE3oRyb8ff4KVq+DmGw0REcq7IqeqXl3D0AcNv62Al19RXpbQoUK7BNSOHZZJk5No0xrO6RTo1ogEn4y52jdsgP99HejWiEgo2rPHMmmKpfmZcMVlgW6NSHCKjjYMGmD46y94861At0ZEQt1rsy0VK8AlFwW6JSKhq+uFhqu7wX/ehm8WqtguoUGFdgmoiS9ZDh+GQf11G7vI8Zx/LtSrC9NnapSdiJy66TMtBw/A4IGaI1bkRDp1NJx7jncX2d9/K9+KSN78tsKy/Fe48XrdsS2SXw/0MTRqBGOfsmzcpNwswU+FdgmYH360LPgf9Lwzkho1dAAicjxhYYZ77zH8/Td8+nmgWyMioWTtX5aPP4Hu3aBuHeVakZMZ2M9QvBiMe1pTtolI3rw6y1KmDFxxeaBbIhL6ihc3jB5pKBYBw0dYkpKUmyW4qdAuAZGcbHn+BUuNGnDXHZGBbo5I0Du7PTRrCjNnWQ4c1MGFiJyctZYJkyylSsFdd6jILpIbFSoY+vfz5oR9651At0ZEQs3yXy0//gS33GQoUUK5V6QgVKlsGDHcsG49PPeCxVqdD0vwUqFdAmLOG5a/N8PgAbqdTiQ3jDHc18uwcxe88WZyoJsjIiFg4SJvAdS77zLExirXiuTWxV2hU0eYNsOybp1O5kUk92bMtJQvB92uDHRLRAqXNq29tcv++wV8/GmgWyNyfCq0i9+t/csyey50uRBat9KJv0hundHMcHYHmDkrmb17deIvIseXnGyZNNlSry5cqVvXRU6JMYahgw3R0TDmScvhw8q5InJyP/9i+WU53HKzISpK57kiBe2O26BNa4ibYFm1SrlZgpMK7eJXKSmWcU9ZYmKg/wM6+BA5Vb3uNiQegNlzdWAhIsf39rvwzz/Q7wFDRITyrcipKlvWK7avXgOvzVbOFZETs9Yy/VVLxQq6wC3iK2FhhscfM5QrB8NGWPbtU36W4KNCu/jV7Lmweg08OMhQpoxO/EVOVb16hisuL8Z7H8CWf3RgISJH27HD8vpsS6eO0Kqlcq1IXp3TyXDJRTB7Dvy5UjlXRI7vhx/htxVw262GyEjlXhFfKVPGWxx1x04YPc6Slqb8LMFFhXbxm9VrLLNet3S5EM7tpIMPkbx64L4owsNh8ss6qBCRo708zZKSCg/cp1wrkl/9+xrKV/BO5g8cUN4VkaNljGavXBkuuyTQrREp/Bo3MvR7wLB0Gbw+J9CtEclJhXbxi4MHLaNGW8qUgQF9deIvkh+VK4dx842Gr7+BX5brpF9Esvy50vLfL+D6HlC9uvKtSH6VKmUY/qjh778hbqJyrogcbdl38OdKuP1WQ/Hiyr0i/tD9Km/dv1dnWX76WflZgocK7eIXEydbNm6C4Y8aSpfWwYdIft14PVSqBBMmWVJTdWAhIpCWZombYClfDm67RblWpKC0aG64/Vb4/P/gywXKuSKSJS3NMu1VS9UqcOnFgW6NSNFhjGHIIEOtmjBqtGXHTuVnCQ4qtIvPfbPQ8vEncOMNmitWpKBERRn69DKsWeud+IuIfDnfG1HX6x5DyZLKtyIF6Y7bDM2awrPPWzZv0cm8iHjmL4DVq+Genlp8XMTfSpY0jB5lOHAQRj5hSUlRfpbAU6FdfGrzZstTz1qcBnDPXTrwEClInS+AZk3hlRmWxEQdVIgUZQcOWKa8YmnowMUXBbo1IoVPRIRhxDBDmIGRo3UyLyKQnGx5ZbqlwelwYedAt0akaKpbx/DgIMPyX2HGTOVmCTwV2sVnDh60PDrc6+ieGGEoVkyFdpGCZIyh/wOGPXu8uelEpOia+6Zlxw4Y0M8QFqZ8K+ILVaoYHhpiWLkSps1Q3hUp6t7/ELZugz69lXtFAuniroYrLofZc2HJUuVnCSwV2sUnrLU89Yxl3XoYOdxoQTYRH2nY0HDVFfDOe7DK1UGFSFH0zz+WN/8DXS+Epk2Ub0V86fzzDFdeAXPfhB9+VN4VKar27bO8NtvSto2mRxUJBgP6Gk4/DUaPs2zdqvwsgaNCu/jEm2/Bgv/BvXcb2rbRgYeIL/W6x1C2DDzzvG5lFymKXnrZEhYOve9VvhXxh373G+rUhtFjtfiaSFE1e64lMRHu66XcKxIMIiMNo0ca0tJg+CjL4cPKzxIYKrRLgfvhR8vLr1jOOwduuSnQrREp/GJiDP37GVavhvc+CHRrRMSffv7F8vU3cMtNhkqVdLIv4g9RUYYnRniLr40YpYvcIkXNP/9Y3n0fLrkITquv3CsSLGrUMDz6kDfF20svKzdLYKjQLgVq8xbLyCcstWrBow8bjNGBh4g/nH8udGjvzRm7ebMOKkSKgtRUy4RJlsqV4cbrA90akaKlXj3D0MGGX3+DqdOUd0WKkpemWMLD4e67dK4rEmzOPcdw3bXw7nvw1dfKz+J/KrRLgdmzxzJ4qMUC40YbSpbUgYeIvxhjeHCgISIcxjxpSU3VQYVIYffp57D2L7j/PkNkpHKuiL917WLo3s2bMvGbhcq7IkXBTz9bvl4It96sO8lEgtV9vQxNGsNTz1g2blJ+Fv9SoV0KRFKS5aFHLdu3wVNjDbVq6qBDxN8qVTIMGmBY8Tu88Z9At0ZEfCkhwTJtuqX5md4dLSISGH37GBo1grFP6WRepLBLSbHETbBUrQo3XBfo1ojI8RQrZhg1wlAsAh4bbjlwQPlZ/EeFdsm3lBTLqNGWP1fCiOGGM5qpyC4SKF0uhPPPgxkzLWvW6IBCpLCaNsOyLwH6P6Bp2kQCqXhxb/G1YhEw7HHLwYPKvSKF1Ycfw/oN3gU23UkmEtyqVDaMfNwQvxHGPW2xVvlZ/EOFdsmXtDTLk09bvl0MA/oazj1HBxwigZQxhUzp0vD4E5bERB1QiBQ2q1zLBx/B1d3h9NOVd0UCLeNkfkO8N7I9LU25V6Sw+fdfy7QZltatoFPHQLdGRHKjdStD73sNX38Dc98MdGukqFChXfLMWsv4Fy1ffAn39DRcc7VO9kWCQenShlGPG7Zs1tV7kcImNdXy/AuWcmXh7juVd0WCRfaT+VmvB7o1IlKQrLU8H2dJSYEHB+pOMpFQcuP10Pl8b+Hy777XebH4ngrtkmdTp1k+/AhuuhFuuyXQrRGR7Jqfabivt+Gbhd4ibSJSOHzyGaxcBff3MZQqpRN9kWBy4/Vw8UXw6izL19/oZF6ksPjqa1i0GO6+y1C9unKvSCgxxvDwUEO9ujBytGXzFuVn8S0V2uWUWWuZMTONOW9Atyvhvnt1VV8kGF3fA847F15+RVfvRQqD3XssU6dZzmoBXToHujUiciRjDEMGGZo0hjFPaq0UkcJg715vAdSGDvS4JtCtEZG8KFHCMG60V7N6dLjWUxHfUqFdTom13tx0M1+DSy+BQQNUZBcJVsYYHn3IUL8eDBthcVfrgEIklL00xXLwoHKvSDCLjPRO5mNj4KHHLLt2KfeKhLJJky379sHDQw0REcq9IqGqenXDyOGGdeu0nor4lgrtkmvWWqa8Ynl9Dlx5BTw8xBAWpoMNkWBWsqTh2acMsbEw9GHLP//ogEIkFC39zvLfL+DmG6FObeVekWBWvrzhybGGvXvh4ccsSUnKvSKhaMlSy/99AbfcBKfVV+4VCXVt2xj69PbWU5n2qnKz+IYK7ZIraWmWiS9Z3ngTunfzFoFRkV0kNFSoYHjuaUPyIRg4xPLvvzqoEAkliYmWZ5+z1KkDt9+q3CsSCpwGhseHGVauglGjLampyr0ioWTnTsu4py2n1VfuFSlMbrjOGzg6ew589n/KzVLwVGiXk0pJsTz5tOXtd7156Qb1V5FdJNTUreONbN+5E/oOVLFdJJRMftmyYyc8MtRQvLjyr0ioOLeTYUBfw7eLIW6ixVrlXpFQkJbmFdkPHIARw5V7RQoTYwyD+htat4JnnrP8/ItysxQsFdrlhJKTLcNGeLfM3X2Xod8DmhdWJFQ1a2oY/6xh1y7oO8CybbsOKkSC3Q8/Wj76xFvcuElj5V+RUHPN1YYbr4cPPoQ3/hPo1ohIbrz7Hnz3PfS731C3jnKvSGETEWEYPdJQs6a3OGp8vM6LpeCo0C7HlZBgGTzUsniJt/DaHbepyC4S6jKK7bv3QO8+ljVrdVAhEqx277GMGedNGXP3Xcq/IqHqvl6GzufDlKmWefOVd0WC2W8rLJOnWjqdDVddGejWiIivlCplePZJQ7Fi8ODDlh07lZ+lYKjQLse0eYul9/2W3/+Ax4cZru6mE3yRwqJpE8NLE7zP9P39LD/8qIMKkWBjreWpZyz7EmDkcENkpPKwSKgKCzM89oih+Zkw7inL4iWHA90kETmGf/+1DHvcUqUyPPqwBpmJFHZVqxqeHmfYsxsGDrbs3avzYsk/FdrlKCt+t/TqY9m1G154ztClsw4wRAqb0+obpk42VK0KDw61/OdtzR0rEkw+/BgWL4H77jWcVl95WCTUFS9ueHKMoW4dGPTgAX79TTlXJJgcOmR57HHLwSQYN8YQE6PcK1IUNG5kePpJw+bNMHioJTFR+VnyR4V2yWH+Akv/gZZS0TB1sqFFcx1giBRWlSoZJk8wnH02TJpseXyU5cABHViIBNqqVZaJkyxtWsO11wS6NSJSUGJivOnbqlQJY8jDllWucq5IMEhL8+4i+3MlDHvEUK+uzoFFipKzWhieGGVYsxYGDbEkJCg/S96p0C4ApKZapr+axsjRlkaNvCJ7rZo6wBAp7KKjDWOfMPTpbfhmIdx7nxaDEQmkPXssj42wlC0Hjz9mCAtTLhYpTMqWNbwyJZrYGBg8xLJ+g3KuSKBNnWaZNx/u6Wk49xzlXZGiqGMHwxMjDe5q6DfQsnuP8rPkjQrtwt69liEPW2a9Dpde4k0XU7q0DjBEigpjDDfdYHjhOcOevXB3by3WJhIIqamWkaMtu3fB2FGGMmWUi0UKo8qVw4h73hARAQMftPz9t3KuSKC8975l7pvQ7Uq47ZZAt0ZEAuncToanxhriN0Lf/patW5Wf5dRFBLoBcmzWWl577TXef/999u7dS6NGjRg0aBANGjTI9Xt88803PPTQQzRs2JBZs2ZlPr5u3TomTJjA2rVr2bNnL9aWg7A23N/nXm68oYIWfREpYvbv388LL7zAwoULSU1NIzLqbEaNHsiyZaUZNMBQqtSx+4Tc9lNffvkls2fPZtOmTZQqVYpWrVrRp08fKlasmPmcHTt2MGXKFL7//nv2799PzZo1uemmm7j44ot9uu0ieZWx/3/44Yfs3r07V3k6NTWVuXPnsnjxYtavXw9Aw4YN6d27N40bN2b6TMuPP0Hve7Zyxx1XH/X6Cy+8kDFjxvhsm0SkYC1cuJCpU6eyadMmqlWrRs+ePenSpQsANWoYXngO+g6w3N/fMmE81K7t5dv169fz/PPPs2LFCmJiYrjyyivp2bMn4eHhme+dm7y5adMm5s6dy++//866des488wzmTJlin+DIFIAcvOZONLhw4d5+eWX+f3331m1ahXJycksW7Ysx3M++zyF58fPJSZ6CfP+u555/82Zl0Wk6GnX1vD8M/DgkG+45tpXMPxNjRo5c/jx5DbvduvWja1bt+Z4rFy5cnz77bcFui0SGCq0B6nXX3+dmTNn8sADD1C7dm3efPNN+vbtyxtvvEH58uVP+vrk5GRefPFFypUrd9TP9u/fT9WqValU+WK+mFeBEiW3EM6r/Pf/XK7r8SoREdotRIqSYcOGER8fzyOPPEJYWBiTJr1EZOTDLPhqCr+tsDw+DM5odnSxPTf91MKFCxk+fDjXXnstffv2ZceOHUydOpXBgwcza9YswsLCSEtLY8iQIezdu5f777+f8uXL89VXXzFy5EiioqI477zz/BwRkZPL2P8HDx5MlSpVcpWnk5OTmT17Npdddhm33347AO+++y69evXi3l6vMHuOwxWXwQXnw6SJ0LdvX84888zM15cuXdov2yYi+bd8+XIeeeQRrr76agYNGsSSJUt4/PHHiY2N5cILLwSgXj3DxDjoP9jSd4Al7nmoUCGBvn37UqdOHZ555hk2b97MhAkTSEtLo3fv3gC5zpvr169nyZIlNG3alMOHDwcoEiL5s2/fvpN+Jo4lKSmJjz/+mMaNG9OsWTN+/PHHHD//Yp7lyWeSMHYOXbteRvv2OfPytGnTaNiwoU+3TUSCk+FXDiY+RslS3TmcMpAaNZdm5vC2bdse93Wnkne7du3Kddddl/m96nCFh/6SQSg5OZnXX3+d2267jR49egDQrFkzunfvzjvvvHPCA4oMc+fOpWLFilSvXp1169bl+Fn16s3YuacpS5ZC61YwYlhLXLcy/fv3Z+3atTqgEClCVqxYwbJly5gyZQotWrQAoGLFivTs2ZNBg3/g3Q9a80B/y+23Wm6/1RAR4RXcc9tPzZs3D8dxePDBBzN/Z3R0NEOHDiU+Pp66deuyceNGVq5cybPPPkunTp0AaN26NX/88QdffvmlCu0SdLLv/zfffDMJCQm5ytORkZG89957xMbGZj7WunVrunXrwcsvv8MZzYcxoJ9h507vZ7Vr16Zp06b+2CQRKWAzZ86kefPmDB48GICWLVuybt06ZsyYkVloB6/YPikO+g2y9BtoOf/c90lOTubpp58mOjoagMTERKZPn86tt95KdHR0rvNmx44dOeeccwB45JFH2LNnj9+2X6SgfPDBByf9TBxLTEwM8+bNwxjDO++8k6PQPm++ZexTlhbNI3n8sXepWDHrQnbr1q3p0aMH77zzDsOHD/ftxolIUJo5cyYtWjRnzNjBPDrMsuyHllSqvJ7p02ecsNB+Knm3QoUKOs4vpDRHexBasWIFiYmJdO7cOfOxEiVK0LFjR5YuXXrS12/dupU5c+YwcODAo372v68tt93p3Zre7wHD8894c8BmjJJLSUkpuA0RkaC3dOlSypUrl1lkB2jSpAnVqlXjny3LmDXdcFEXmPka3N/PsnmzN09dbvuplJQUSpUqleN3xsTE5Pg+o9852fNEgkVe83R4eHiOIjvA1m0R7EuoS/Hiu3lqrCEyUtO3iYS6Q4cO8dNPP+XoIwC6dOnC77//TkJCQo7Ha9c2vPSioXgkfPDBUho1apujeNilSxeSk5P5+eefgdznzbAwnepJ6Fu6dClt2574M3E8x5oS9Z33LE+MsZx5BjzzZESOIjtAsWLFqFevHrt37y6YDRCRkJI9h5ctY5gYZ7j5Rvh354WsWPE7vyxPOO5rlXcFVGgPShs2bCA8PJyaNWvmeLxOnTrEx8ef9PUTJkygc+fOOUam70uwjBqTxvCRlmrVYOY0w7VXW1JTU4iPj2fy5Mk0btxYc9GJFDHx8fHUrl37qMcz+puSJQ2PPRLGqMcN8fFwx92W//uvzXU/dcUVV7B8+XI+//xzEhMT2bhxI1OnTqVly5bUrVsXgPr169OkSRNeeeUVNm7cSGJiIp9++im//fYb3bt3920ARPIgv3k6w549lgeHJpOS4tLlwrpHLUQ+ZswYOnTowGWXXUZcXBxJSUkF0n4R8a3NmzeTkpJyVH6tU6cOaWlpbNiw4ajX1KjhFdvTUuP5dUUtfluRtQBblSpViIqKyuxflDelKDnWseqRn4ncmjYjjRcnWjp1hOeeNpQocXQh/tChQ6xatSrzOFVEipYjc3hEhOG+XmEM6FcHSKNv/3henJhGYmL+Fkr99NNP6dixI507d+aRRx7hn3/+yX/jJSho6pgglJCQQIkSJY5a3CUmJoakpCQOHz5MsWLFjvnan376iWXLlvHOO+9kPpaYCLffadm1G+6+y3DLTV5nMWDAwMwFYRo2bMj48eN1BU6kiNm3b98xR47HxMSwZcuWzO87X2Bo0gTGjPNuta1VfR9RUSfvp84++2yGDx/OuHHjeOKJJwBviplnn3028zXGGF544QWGDh2aOU9dREQEw4YNo1WrVr7YbJF8yU+eznDggOWhRy2b/36N8LAEbr75qsyfFS9enGuvvZY2bdoQHR3Nzz//zJw5c9i8eXOOz46IBKd9+/YBR48wz/g+4+dHqlrVYEwCJaNjGDDYMmI4nNvJZL42YyS88qYUJSc6Vj3y7pDjSUnxCmKvzYYrLoPBA7OmQzzSrFmzSEhI4Morr8x7o0UkZB0vh7dvF5v+bwLvvg8LvrLccjNcdQWnfEfqOeecQ9OmTalUqRIbNmxgxowZ9O7dm48++qhgNkICSoX2ALLWkpqamvm9MSbzpP1Yt7lZa4/7M/BuIx0/fjx33nkn5cuX5+BByx9/wqa/4TQHnhxraOhkvXbQoEHs27ePTZs2MWvWLAYOHMgrr7xCZGRkQW6miASBtLQ00tLSMr8PCwvLvLB2ov4muyqVDS+Oh7fegcmTIfWw4ZuFlnPPMUe9LuM9f/rpJ5555hmuu+462rdvz65du5g+fToPPfQQEydOJDw8nLS0NEaNGsXevXsZM2YMZcuWZcmSJYwbN47SpUvTvn37Ao2FSG4VdJ7OkJxsefgxyx9/LCb18Gv0798vx2i9ChUq5FjXoGXLlpQrV45nn32W1atX06BBg3xtl4j4x5F9QW77iOuvNSz9HoY9bhnQF665OufzlTelqDnZZ+ZEdu60vPOe9/97ehpuu+X477d48WJmzZpFv379jnnHp4gUHcfL4ddeHcaddximTLVMmGR54z9w681w+aW5L7gPGjQo8//NmzenWbNm3HbbbXzwwQe6M60QUKE9gH7++Wfuv//+zO9btGjBlClTiImJ4cCBA6SmpuYYLbd//36ioqKOuxrxRx99REJCApdeeinLvtvH8+Mtf/99mLJlUol7bj9lypQk+5+8Vq1aADRt2pTmzZtz9dVXM2/ePK644grfbLCIBMyMGTOYMWNG5vc9e/bknnvuITY29phzUO7fv/+Yo4fCww033QAJe2OZOfMAjw5P4aIu4Qzob4iNMUf1Uy+++CIdO3bkgQceyHyPBg0acP3117Nw4ULOP/98Fi1axOLFi3n77bcz+6WWLVuyfft2Jk2apIKBBExu8nR2J8vT4I2qGz7S8tPPfxJuH+fK7t244YYbTtqWCy64gGeffRbXdVVoFwlyGWsxHDnadv/+/cCJ1yCJjY0lJWU/L443jBpjeWGCZdt2myMvK29KURIbG3vMkevHO1bNbvUa78L2jvRFxm+/9fhFsD///JNhw4bRrVvu8rKIFE65yeGNG3lzt//8i2X6q5YXXrRMfxUuu8TS7UpDjRqndnGwfv361KpVi5UrV6rQXgio0B5ADRs2ZObMmZnflyxZEvDmb0xNTeXvv//OcSX9eHMpZ9i4cSPbt2/nsssuy/H47t1w+eVdGTFiBJdccskxX1u1alViY2PZvHlzfjZJRIJUt27d6NixY+b3FSpUAKB27dosX778qOfHx8dnrph+LC1b1mHmzFSu7b6ZDz+pxc/LLQ8PObqfio+Pp2vXrjleW7t2bSIjIzP7m/j4eKKiojKLBRkaNGjAt99+e8rbKlJQcpOny5Qpk/nzk+Xp1FTL6LGWxYs3EhkxhJYtWzF48OBctSVjVE1+RvWJiH9Ur16diIgI4uPjOeusszIfj4+PJywsjDp16hz3tbVr107Pi4YxoyBuomXum9tITT5I1aq1Mt9HeVOKiozPRHbbtm3j4MGDx8251lo++gQmTLSUKQPX94DZrx//d2zcuJHBgwfTqlXu87KIFE4ny+HZc+9ZLQwvTYBflsMHH3l3z/znbUvLsyx7dkFk8QBsgAScJuQOoOjoaBo1apT5lXGg0KxZM6Kjo1mwYEHmc5OSkli0aNEJR6i0bn0NNWtPIqzYJDqeM4nx41+iXbt21KpVi5deeok2bdoc97Xx8fHs3buXatWqFdwGikjQqFixYo7+pmLFigC0b9+enTt35ii2r1y5ks2bN5+wv8nop0rHfsXUyYaYUjB46EHmzfuWVq2yXlelShVc183x2vXr15OcnEzVqlUzn5OUlHTUSdSqVasynyMSCAWZp1NSLE+Mscz/agfRUQOpV686o0ePPmqe9+P56quvAHAcJ59bJSK+Vrx4cVq2bJmjjwCYP38+TZs2PeEo3Pbt2/Pdd9+RmJhIeLhhUH9D+zYLgEhmzm7Bln+s8qYUKdk/Exnmz59PZGRkjiJYhsREy8jRlufGW5o3hxnTDJUqHv8i9Y4dO+jfvz/Vq59aXhaRwulkObxUqVI5HjfGcFYLw+iRYbz3lqHnnYZt22D1asuK32HQkDQ++sSyc+fxF0/966+/2LhxI02aNPHJNol/aUR7EIqMjOS2227j1VdfJTY2ltq1a/Pmm2+SlpZGjx49Mp/3+eefM3bsWN566x3+901VZsysQenYGjz3jKFDe+9gYv78z9izZw8tW7bMfN2ECRMIDw+nSZMmxMTEsH79eubMmUONGjXo0qWL37dXRAKnWbNmtGvXjieeeIK+ffsSFhbGSy+9xJlnnpnj4tzYsWP55ZdfePfdd4Gj+6n77q3F8+PfZPPflgXfXMuZzS2dOsLVV19NXFwcFSpUyJyj/dVXX6Vq1ap06NABgA4dOlClShWGDh1Kz549KVOmDEuWLGHBggU55qkWCRbZ9/+KFStSpUqVE+bpN998hylTq7BwUTJlYweTdDCBO+98kLVr12Y+t1ixYplF9GnTpnHgwAHOOOMMoqOjWb58OXPnzuW8887j9NNP9/v2isipu/POO7n//vt54YUXOOecc1iyZAlLliwhLi4u8zn//PMP1157LY899hiXXnopAN27d+ftt9/m4Ycf5tZbb2XLli389OMMunS9kR9+jubuXpYHB7bPVd5MSkpiyZIlAPz7778kJiZmXrTr0KEDUVFR/guISB4d6zMxffp0brzxRqKjozOfd+2111KnTnP+3vooW7ZAr3sM9eos5Zefk1i9ejWQddG6UaNGVK1alaSkJAYOHEhCQgIPPnj8vCwiRUtec3ipUsnUrrmEe+6yvDpzBzt3JLLa/Yply+DZ8A40aRxFzepL2LXzC7p2PZuKFSuyYcMGZs2aReXKlenWrdsx10qT0KJCe5C67bbbSEtL47XXXmPfvn00bNiQCRMmUL58+cznpKWlkZqayvARljV/WS44HwYPMJQufeLbyhs1asTbb7/NRx99RHJyMlWqVOH888/n9ttvp0SJEr7eNBEJMqNHjyYuLo6xY8eSlpZGx44dcyzQApCamkpKSkqOx47VT91114u89U45Hh1uadcW+j/Qg4iICN5//30++OADYmJiOOOMM+jTp09mfxMdHc3EiROZMmUKEyZMIDExkerVq/PQQw/RrVs3f4VB5JRk7P/Tp09nz549J8zTTz1r+W0F9LxzN6+8vAbgqFvTq1Spwocffgh4U9PMnTuXjz/+ODNP33zzzdxxxx3+2jwRyafmzZszbtw4pk6dyvvvv0+1atV44oknaNu2beZzMhZczr5YeWxsLJMmTeK5555jyJAhlCpVihtuuIG7776brVsNjz1ueXxUSbpeOIHEhBPnzV27dvHoo4/maFfG9xltEgl2J/pMZDh0yLJnTwpLlqZRtQZMjDOceYahW7dn2Lp1a+bzMvb/YcOGcfnll7Nr1y7WrDl5XhaRoiWvOfxYeReGAXDD9e/z629V+L8vKpGWsotl38Vh0xKIiSlNx47tuO+++yhVqtQx16SQ0GLyerVk9+7duXphTEyMdpQjFERM0tIsH3wIk6daihf3CuwXdg7NeVu1j+QUjPEotmwyAIfb9fH77w7GeARasMckJcXy/gcwfabl8GG4+Ua46QZDyZK+6aOCPR7+UrZs2VwFOLf5+0QU8ywnisW+fZZHhnlF9oeGGC6/NDTz9KkI1n0jEHksWGMRKIpHlvzEIjnZMnWa5e13oV5dGDHcUL9e6PYt2i/8m78DyVd/69VrLGOftPy1Di6/FPreb4iODt7PhPZ5TzDFQee6gVeU4rBtu2XRYvh2keWX5ZCaCuXLQcezoWuXkjRqeJDixYO3D/OHUNkfjpe/NaI9BG3bbnnyacuPP0HbNvDIUEOFCkX7gygiwSMiwnBdD7jgApg8xTLrdfj4E8sdt8OVl3s/Fynstm61PPiQZfMWGDnc0PkC7fcikn+RkYZ+DxjatLaMfcrS817LjTdYbr/FEBWlfkaKjoMHLa/PsbzxHyhTBp55Mmv6VBGRYFW5kuGa7nBNd8O+BMuyZfDtYsu8+fDRJwcoWRLatbV06mho3xZKlVK/FmpUaA8h1lq++BLiXrSkpsKDgwxXXeEtviAiEmwqlDc8PsxwdXfLy69YxsdZ3nob7rwDLrxABXcpvP740/LocEtyMox/1tCiufZ1ESlY7doaXp/pXdCePQfmL7D06QXnnatzAyncrLV8sxAmvGTZvh0uvgj63W+IjdV+LyKhJTbG0LULdO1iSE62rFxVgi++PMDixfDV/ywREdCiuVd079gBKlVSPxcKVGgPEbt2WZ57wbLwWzijGTz2sKF6dX3IRCT4NW1imBgHy76Dl6dZxoyzTJ8BN14Pl12KRuBJoWGt5cOP4cWJlooV4IXnDPXqav8WEd8oW8bw2COGSy62jH/RMnykxWkA9/T07npVwV0Km/h4S9xEyw8/Qv36MGKYNxe7iEioi4w0dOpYjOZnhpE2yPLnSli4yPLtIhgfZxkfB40aWjqebejUEerWUZ4PViq0BzlrLfO/ghdetCQdhD69Ddf3gPBwfaBEJHQYY2jfzjvxX7IM5r5heWGCZeZrcPlllquuMFStqn5NQldSkndB/L9fQPt2MPxRja4TEf84q4XhtRkwbz68OtObtqpZU7i+B3TqqPMGCX3btltmzrL8338hqgQM6GfodqXujhSRwikszNC0iTdgrU8v7yLjwkXevO7TZlimzYAa1aFTR2+0e5PGyvXBRIX2ILZzp3fS/u0iaNwIHn3YUKe2PjwiErrCwrzb3jp2MPz6m+U/b3tza85909K+raV7N0Ob1jpQkNCycpU3V3J8PPS803D7rd6+LiLiL+Hhhksu8qZm++QzePMty7ARlqpV4Oru3vQaZcuoX5LQsmOH5c23LB98CBbo3h1uv8WQy/VjRUQKhdq1DbfWhltvNuzYkb6Y6mLLO+95+b5MGW+KmWZNDWc0g9Pq60JkIKnQHoSstXy5AOImaBS7iBReZ57h3e67bbvlk08tH38CQx62VKoIXbtYLrnIUFsXFyWIJSdbZr6WxMzXLBXKw/PPGNq01j4rIoFTrJjh6m5w1RWwaAm8867lpSmWl1+Btq0tXbsYOp6tadskuK3f4BXY530JaWnehaK7bjdUqaL9VkSKtgoVDN2ugm5XGRITLcu+g8VLLL+tgP99bQEoEQWOYzntNDj9NMPpp0Gd2lC8uPpQf1ChPchs3Gh5Ps7y088axS4iRUPlSoa77zLcfqvl28Xwf/+1vPkfmPOGpVEjr+B+4QVoGg4JGmlplvkLvDUHtm9P5rJLoW8fQ6lS2kdFJDiEhxvO7QTndjL8tc7yxZeW+fNhyTJLiRLQ8WxLxw6Gtm1Q3yVB4fBhb5TmJ59Zvv8BIiPhysvh+h5am0xE5Fiiow2dL4DOF3h95LbtlhUrYMXvFnc1fPqZN70lQHg41KltqV8P6tUz1K8P9etCxYqa672gqdAeJA4etMx5w5tCIbI4DBpguOoKjWIXkaKjWDHDBefBBecZdu60zJsP//3CMj7O8uJEaNPa0vkCQ6ezvYMKEX9LS/Omc3ttjmX1amjQAJ4cE43T4GCgmyYiclz16xn69DL0vsey/FeY96Vl0RL4cr4lIsK73bzj2YazO0CVysqv4j9pad6Cf//72vLFPNizFypV9KZh634VlNF0RyIiuVa5kqFyZ7iws9d3pqZaNm+BNWth7V+WNWvgl+Uwb77NfE2pUlC/nqVePahf11CvHtSrq4vw+aFCe4ClpFg++QxmvWbZuQsu6gL332coV047tYgUXeXLG268Hm64DtauhS+/snz1FYwZZyleDNq1s3Q+39ChPcTEBLq1UtglJHgLk7/3vmVDPFSvBo89YrioC5QuHUFCQqBbKCJycmFhhrNaeIunpqZa/vgTFi2xLFoEL7xoeeFF72S7dSto3cpw5hmaYkYK3oED3hQHS5dZFn4L/+6AiAjo2AEuv8zQupUGm4mIFITwcEOtmlCrJnQ+P6tf3ZdgWb8e/loH69ZZ/loH876ExMSsAnyVypaGDaFxI0OjhuA0gJIl1TfnhgrtAZKSYlnwFbw6y7vCdEYzGD3KcEYz7bgiIhmMMZx+Opx+uuG+e72iwIKvLF99DQu/tURFQaezE2nX1tK+PcTGqA+VgpGU5N26/s1Cy9cLITkZGpwOI4cbzjtXCwyJSGgLD/cWTDujmaFPL2/6ykVL4LvvLe99AP9527uw3ayZpU1rr/h5Wn0t9Cynbu9eyyoXVq5KYtl3aaxcBamp3tQwbdtA704ZAye0b4mI+ENsjHcx/cwzALy+11rLtu2wbp1XgF+71rLSha+/8YrvYWHe1DONGkGjhoYmjaFuHZ0THYsK7X62d6/l/Q+SmfOGZfu/UL8ePPOkoX07zYskInIixhiaNoGmTQwP9PFGQy34yrJ4SSpfLrCEh0Hz5pZOHb2F3nT7u5wKay3xG73bKb/73iuyHzrk3TFxyUXeKDungXK1iBROtWoZbqoFN91gSEqy/PobfP+j5ccfYcpUy5SpUKYMtGppadPK0KolVKqk/lCyHDpk+XszbNoEG+Jh9RqL68LWbd7Pw8OTaejATTd4d1U0a6o7JkREgoUxhiqVoUpl6NAeMgrwe/Z4BfeVK2HlKsvixfDZ51mLrjZsaGnS2Bv53qSxd2d6UWestSd/1jHs3r07Vy+MiYkhoYjfU33ggOWHH+GLLy1LlkJKCpzVAm64ztCubeiMDHnqqad45plnAt0MCYBHO0YDMG5RYoBbIrkxdOhQHn744UA3w2+io0vx/Q8JLFrszZ+9Id57vMHp0K4ttGntJf1ixUKjr82rsmXL5moDc5u/T6Qw5PaUFMv6DfDHH/DLr5bly2HnLu9nlStDp7OhU0dvtMeJRmoEUyyUp49PeUx8JS85N5j6jdzYsdPy40/www/eOc2u3d7jVatC8zPgzDMMZ54JNaqf+sXIUIuFL/gzf+dHcrJl1y7Y/i9s2wbbtnsL723dChs3wdatkJaW9fzq1cBxwGngXahu0zqGtLT9gduAAqR8W7joGKHoCrbz5lDIidZatvwDf66EP/707jhfs8arc4JXqG/SGJo0NjRu7J2TFy9eOI8Njpe/NaLdB5KSvBV+//gTfvzJ8styOHwYypaFa7rDtdeUomqVA4FupohIoRAWZmjS2PvqdQ9s3GRZtBi+XWSZ+wa8PsdSIgpatLC0PMu7Vf7003SbW1Gze493IPjHH96/K1fCwSTvZ+XLw1lnQYvmhrOaQ/U8FItERAqrCuUNF3eFi7sarPXmcv3pZ/j1N8vSZfB/X3j133Jl4YxmlkaNvMKq00DTgQS7Fb9bfv7FG41++DAcOuzdzXXgAOzb5y1Oum8v7N2blTOzi431iiqNHG+tsZo1DbVqQM2aRy9cHx1ttKaJiEiIM8ZQvZp3MbVL+qKrycmWNWu9Gugff1p+/xMW/M87NoiIgNNPtzRyoE4dQ53aULsWlCtXeM+3VGjPpbQ0S2IiJOyH/fshISHr34T9sGOHZeMmiN+Y82p+rZpwdXfo0C5rVFxMTLgOMkREfKRWTcNNN3i3v+/f751A/vCT5YcfYMlSL+FHRUGjhpamTaHBaYbTT4Nq1ULnDiM5sQMHLOvW4130Ti+sb97i/Sw83Jtn+NJLvJEWTZpAtaqF90BPRKQgGWM4rb7Xj17fw2ROu/Xrb/Dbb5bffoevF2YNvK5R3XpFd8dQu5Z3cl2lii52B4t337Ms+B8YA8WKQfFiULw4RJWA0qWhfDmoV9f7f+lYQ7my3l1flSpCpUpQooT+jiIiRV1kZMYUr5Ax5cyOnZY//8wa9f7fed45WoaYGKhdy1K5ElSs6E1HV6mi9//q1VIJC7NER4fm4tiFbuoYay3WkvkF3i0MBw96V+YPHPT+n/F14ID3r1dAt8ctpCcmZr3fsURGQs0aUKuWV1xvmL44QNkyR+8UoXIbhL8oHjkFYzyKLZsMwOF2ffz+u4MxHoGmmOR0KvHYscMrAvy2wrJiBaxdC6npF0ZLlPAKBzVrQvVqhmrpV+orVYIypYO/KFAUp45JSfEW7dm4yftbrlnrjab4+++snF2+HDRp4hXVmzbxRlgW5JywwRKLYBGs8QhEHgvWWASK4pGlsMdi717L6jWwyoVVbs55usEr6Fav7hXdT6sfSdkyh6iUfqJduZJ38l2ULn4GcuqYtDRLaqo34tDXMS/s+31uKQ6eYIqDznUDT3HwFOY4WGv5919vcPKGeNiwwbLpb9i+3ZuS7NCho19jDESXhJhY79ggKtKrvUZGeheFI4tn+3+kN1VsWJg3sCoszPsqVxYu7Oybgn1ITB2z4nfLI49Zkg8BFizZCubp33OMx7IX1fMjKgpiSkGpUt4fsUIFqFvXeywmBkqVMpk/z3hOxs9KlixaB4QiIqGoQgXDBefBBedl3ea2fkNWkXbtX/Dd97BzZ86kYgyUjrWUKesV3UuU8HJGiSjv36iorGQeFuY9PyzMpP/rfZ/xPuef5xXyC5PkZMt333v/Dw/P+oqIyPl9eMaBT3jWAVD2x02Yd5CVnJz1deiQd+v67l2wa7dl127vgGzzZvhnK6SmZrWjalVvWqAunb27FE4/zRt5p/wsIuI/pUsbWreC1q0gY2Tbvn1Zd//Gb7Rs2gjr18PixcmkpOZ8fVQUlCltiS0NpWMzRlNDyWiIijRe7i3hnXBn5ODIyPScE+blmOz5JSzMu9s4Nc3LGWlpkJZ6xPfp/8/4PuPflPR/rYUO7bzzwcIkLMwrSoiIiPiSMYZKlbxBbNmPD8Arwu/dC//+m1F0j+Lff5NI2G+9wc/pX0nJ3mDpPXvSzxUPZZ0vJidDaurRheESJbw128qW9dumBlehvWpVuOzS9En0jRd2Y9ILFNm+h6Mfy3we3h8w+/cREV4hvEQJKFki6//Zv0pFF/6F8kTyKrVGm0A3QcQnIiMNDR1o6ED2ZJ+UZNmyxZtu5N8dsHu3Zfdu2L3Hm6d01y5ISvLmK01K/0pLA5sGaZkXf499BTgy0tDjGj9snB999T8Y+5Tv12gLC/MudFSsCA0awPnnexctatbwbm3XXMByPMpjIoEVG3v0beUAJUuWIj4+gW3bs06wt/9r2bPHmyN8717YsgX27vNOrtPSArce6OCBhu5XBezXi4iP6BhBJLCMMZQpA2XKwOmnQ0xMcRISksl+vJAbqaneDCep2S6Sh4d759/+FFSF9grlDff10kmySLBJq9Eq0E0Q8auoKEO9elCvXsYjp5abMqYxy0jwGet2gP8TvT9cfBE0amQ4fMg7sElJzRoZmPl9ijd6MO2IEYNHjjDMuPUvMhKKR3q3BJYu7d32FxsbmvP0SeApj4kEp/BwQ8WKhooVsz967H7eWm/BzqRkSDqY/m+2C94ZOSUtNecIdpvm3TGVfYR7WPgR34flvAMr+63nEeEQHuGt5yEihY+OEUQKh4zzxIgAV7qDqtAuIiJSGGTcWVVUbsc2xltBXkRExFeMMRQv7l2QjY0JdGtEREREjlZESgAiIiIiIiIiIiIiIr6hQruIiIiIiIiIiIiISD6o0C4iIiIiIiIiIiIikg8qtIuIiIiIiIiIiIiI5IMK7SIiIiIiIiIiIiIi+aBCu4iIiIiIiIiIiIhIPqjQLiIiIiIiIiIiIiKSDyq0i4iIiIiIiIiIiIjkgwrtIiIiIiIiIiIiIiL5oEK7iIiIiIiIiIiIiEh+WGt9+jVy5MiRvv4dofalmCgeiofioZgoHqH8pZgrFoqHYqF4KBaKhb70t1YcFAfFQXFQHBSHnF/+GNE+wg+/I9QoJjkpHjkpHjkpHkdTTHJSPPxPMc+iWOSkeGRRLHJSPLIoFlkUi6JDf2uP4uBRHDyKg0dx8CgOnpCOg6aOERERERERERERERHJB38U2kf54XeEGsUkJ8UjJ8UjJ8XjaIpJToqH/ynmWRSLnBSPLIpFTopHFsUii2JRdOhv7VEcPIqDR3HwKA4excET0nEw1tpAt0FEREREREREREREJGRp6hgRERERERERERERkXxQoV1EREREREREREREJB9UaBcRERERERERERERyYeIgn5Dx3EigeeAG4ESwAKgj+u6f5/kdbHAGOBaoDywCXjUdd23C7qN/pSXeDiOcwcw8xg/KuG6bpIv2ukved0/sr3+RuAN4DPXdS/3WUP9KI/7SA/gIeA0oBiwBnjBdd3XfN9i38pjPO4BbgOa4F1A/AUY7rruIt+32LfyGI8meAuInAXUBUa5rjvS9631Dcdx+gBDgKrAH8AA13W/PcHzmwGTgDbALmAqMNp1XS1Kkgfqt3NSn51F/XVORbm/Vj+d06nEw3GcKOBlvH2gEbDYdd3z/NRUnzvFWJwHDMTbL0oDa4E413Vf9U9rJbcKeh93HKcq8Hz6c04HZruue4ev2l9QfBCHq4HeQAsgCvgTGOu67se+2oaC4IM4nAs8CThASSAemO667nO+2oaC4Mu+33GcjsDXwCrXdZsWbMsLlg/2h/OA/x3j5Y1c111VcC0vWL7YHxzHKQ4MA24FqgHbgOdc153gi20oCD7YH2YBtx/j5Qdc140uuJbnnS9GtMcB1+CdZHQCYoFPHccJP94LHMcpBszDS6rX4XWodwDrfdA+f4vjFOOR7gDejpj5FepF9nRx5C0eOI5TD3gWOO6JW4iK49RjshPvwlQ74Ay8CzMzHMe51LdN9Ys4Tj0e5wFvAZ2BtoALfOE4zuk+bal/xHHq8SgJbMBLwiHdjzqOcz3wIjAO76RjCfB/juPUOs7zY4Ev8Q46WgP98BL7IL80uHCKQ/12dnGoz84Qh/rr7OIogv21+umcTjUeQDiQhHfh4TO/NNJP8hCLDsAKvIFXTYEpwCuO49zkh+ZKLvloH48EdgBPAd8VaIN9xEdxOBf4Crgs/T0/Bz5wHKdTATa9QPkoDvuBCcA5QGO8Y6hR6QW7oOTLvt9xnLLA63gX8IOaj3NgE3LWyNYURJt9wYdxeBO4GLgXr27aA/itgJpd4HwUh/4cUSsF1gFBM0jbWFtwA0ccxykN/Avc6bru3PTHauJdgbzEdd0vjvO6e4GHgYau6x4qsAYFWD7icQcwyXXdUv5qqz/kNR7pzysGLAImA+cDFQrJyMg8x+QY7/Uz8IXruo/4pLF+UFDxcBzHAP/gjQCZ6Kv2+lpBxMNxnN+Bd0NxhCSA4zjfAb+5rntPtsfW4G3TUfu64zj3AU8DlV3XPZj+2DDgPqBGYRkt6S/qt3NSn51F/XVORbm/Vj+d06nG44jXTgKaFpYR7fmJRbbnvw2Eu657jY+aKafI1/u44zifAjuCfUS7vz7rjuN8D3zruu7gfDbZJ/wYh/eBZNd1b8xnk33Cl3FI3/ZfAQNcG8wj2n0Rh2wj2iu6rrujwBvtAz6KQ1fgHaB+UY7DMZ53Nt4559mu6y7Jf6vzr6BHtLfEuyV6XsYDrutuAlbijVA4nm7AYmCi4zhbHcf503Gckekn6aEsr/EAKOE4TrzjOH87jvOp4zgtfNhOf8lPPMYCG0L9NvtjyE9MAK9I4ThOZ7wrmgt90Ug/ync80hXHu91yd4G2zv8KKh4hyfFujWtJtu1PN4/jb397vJORg9ke+wLv1ro6Bd3GIkD9dk7qs7Oov86pSPbX6qdzymM8CqUCjEUsod8/FBraxz1+jkMMQfoZ8Fcc0mshHYBvCuo9C5Iv45A+ir8K3qj+oOaH/eFHx3H+cRxngeM45xfA+/mED+PQDfgBGJReJ1zjOM4Ex3GCcoCuH/vJe4A/gqXIDgVfaK8CpOLd9pXdtvSfHU89vFseiuHdJjUcb26yJwu4ff6W13i4wF3AVXi3HycBi53Qv606T/FIv3J3Pd4+UdjkdR/BcZzSjuPsBw7h3VbTz3Xd//NJK/0nz/E4whi8Ww6Dej7DXCioeISqCni3j2074vETbX+V4zw/42dyatRv56Q+O4v665yKan+tfjqnvMSjsMp3LBzHuRxvmqlXCrZpkg/axz1+iYPjOPcDNYDZBfWeBcyncUgvJiYDPwKTXdd9Ob/v6SM+iYPjrWcyArjZdd3UvDfPb3y1P/yDd9fbNcDVePWyBY7jnJOP9/QlX8WhHtAROBMvFg/gTSMzKx/v6Us+7yfT7yjtAUwriPcrKLlaDNVxnDHAYyd52omuKBngRLeBhgHbgXvSO5CfHMcpD7zgOM6QYLuF1NfxcF13KbA02+9bAiwH+uLNYxlUfBkPx3Eq4HUcN7muG5RX8o/FD58ZgASgOVAK7yRkvOM4G1zXDbq52/wUj4zf1R/oBVzouu6+3LXQv/wZj0LiyG092fYf6/nHerzIUr+dk/rsLOqvc1J/nWvqp3M61XgUZnmKRfqt4G/gXZT83hcNk3zRPu7xWRwcx7kGb52bG1zXjS+I9/QhX8WhE95xUzvgacdx1ruuG6wXHaAA4+B4C6z/B3jQdd1QW8OlQPcH13VdvOJ6hqWO49QBHiS47w4t6M9FWPrrb3Jddy+A4zgP4K11VNl13SML2sHCl/niFrxiflD1C7kqtOMt7jTnJM/ZiNcBhuNdufg3288qceIPwD/A4SOu0q3EWyDqyPcKBnH4Nh45uK6b6jjOj3iLxQajOHwXj6Z4ixvMdxwn47EwAMdxUoAm6R1vsInDx/uI67ppwNr0b5c7jtMIeJTgXCQlDj98ZtKLNmPw5sMN5pOyOPzYh4SwHXgjRI+84l2Jo6+MZ9h6nOdzgtcURXGo384uDvXZGeJQf51dHOqvT0T9dE55iUdhledYOI7TEW8RyMdd153im+ZJHmkf9/g0DulF9tnAba7rBvMdXz6NQ7YC8wrHcSoDIwmyglo6X8ShKt5CsDMdx5mZ/lgYYNKPpy91XffIKTkCzZ/9w3fADQX8ngXFV3H4B9icUWRPtzL931r5fG9f8Mf+cA/wnuu6uwro/QpErgrt6RPtn3SyfcdxfgIOA13wRiDgOE4NoBHe6rLHsxi4yXGcsPQTUYAGwIHc/F5/80M8jnwfA5yBtwBG0PFxPH4Amh3x2BigLHA/EJRXd/29j6QLAyJP8TV+4Y94OI4zCHgC76BjUX7b7EsB2j9Cjuu6h9Jj0AVv4ZcMXYD3jvOypXgjXqJc103K9vwtwAZftTXUqN/OSX12FvXXOam/PjH10znlMR6FUl5jkT4VwGfASNd143zaSDll2sc9voyD4zjXAa8Bt7uu+25+3svX/Lw/BOVxE/gsDps5+ni6T/p7dicI86Wf94fmeIXnoOPDOCwGejiOU8p13f3pjzVI/zfo7nrx9f7gOE4bvGl0BuT3vQpabke054rrunsdx5kBPOs4znZgJzAe+A2Yn/E8x3EWAN9nW2V2Ct78Qi863sqydYBRePNwhewtaHmNh+M4I4BlwBq8BYD64RXa7/PvFhSsvMTDdd1E4Pfs7+M4zh4gwnXdHI+HonzsI4/hXcVdh3fAcSlwK970QiErH/EYgrfw4i3AasdxMq6aHjziim9IyUc8iuONgABvkcEqjuM0B/a7rruW0DIemO04zvd4Bxe98RbMexnAcZwngTau63ZOf/4beHMZzkqf8qEB8DAwKpTzSaCo385JfXYW9dc5FfH+Wv10TqcaDxzHaYy3MHAFoFT6PoDrusv92vKCd0qxcBznPLwi+2Rgbrb+IdV13WC7w7ko88k+nvEY3vlvWvr3h1zX/dO3m5NnBR4Hx3FuwBux/SCwMNtn4FCwjdjMxhdx6Is3MCPjDshz8GIy2febk2cFGgfXdQ9z9PH0diA5yI+nfbE/DMC7sPBH+vNuwVsY9Brfb06e+aKffANvPcuZjuOMBMoALwLvuq673edblDe+PCa6F69mGnSLJBdooT3dQCAFeAsogXdL9G1HTAtTH9iU8Y3rupscb+G08XhzkW8FXiUEVlbOhVOOB94H5hW8Wyz2Ar8A5wT5rdW5lZd4FHZ5iUkpvAtUNYCDwKr017zplxb7Vl7icT/eYspvHfFerwF3+Kyl/pGXeFTD6zey/7wXXhI6z5eNLWiu677leGt2DMO7hfJ3vFGwGVftq+JtX8bz9zqO0wV4CW/hpN3A83j5RfJG/XZO6rOzqL/OqUj21+qnczrVeKT7HKid7fuMfcIQwvIQizvwpg59MP0rQzzeQCwJAj7cx7P3hQBXEMR/ex/FoTdejSYu/StD0OYEH8UhHHga72+fAvyFd0E2WBdDVd+fzkdxKA48B1THO47+A7jMdd3PC34LCoYv4uC67n7HcS4EJuLdQbwb+BDvsxGUfPW5cBwnBm/qoCeCcZCGsTbo2iQiIiIiIiIiIiIiEjLCAt0AEREREREREREREZFQpkK7iIiIiIiIiIiIiEg+qNAuIiIiIiIiIiIiIpIPKrSLiIiIiIiIiIiIiOSDCu0iIiIiIiIiIiIiIvmgQruIiIiIiIiIiIiISD6o0C4iIiIiIiIiIiIikg8qtIuIiIiIiIiIiIiI5IMK7SIiIiIiIiIiIiIi+fD/GzjCGgH5pfAAAAAASUVORK5CYII=\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: [ma_init, ma_innov]\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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hdFrPGHvOiKk+Kg3MqElNLTQ0qGJr1jHNegyv16SoCHKyVUMSCEBbQD1HS4saUQdDatpB08CbaZKTo8KptQWUQ34wABkeqzweDc0GbX7VEWhpUWmiyW2M9X9NsxofqzCZmSZZWbBz52puvOEynn76RYYNm0VtHWR4wvhbTLxZJkUFqqFu9Zvs3n0YgIULtzFtelGiHplqV4rY/VwuE68XPBnqfTudGg6HVQYrWcSaDq+tVUVyxOVqQlQ1WMOGmeTladhsGqGQSXW1yeEj6toMt4nHAx6PamCdTrDZNZyOWB1TDWI0atLWpt57MGhy+PBRAEpKStm0aRNr17YQjnhSxKUBWVkmhQXg86l3FQpBIAit/gi7d0dpblb39PnUc8XqfU0dVFaZ1ndn4nSq86DKVZCvkZmpvoFYPW5sMmlsUN+Lw64KEI1ayidg1ddMyPapOuh2q3sndwBCIZNAQH0HsW87GoWDh01aW1Q5fVka4YjJ4cNw8JCql7G6qZ5dHXM6TXJzIT8voahDIfUd1dep7zwYVBeamnr/aErRZGWFcTmj5OVDpleVLxxW8mtpMamsgnBEdVojESWroiKTkmKNSAT8bUoBtrYoecfqst0GeXkm+XmqLtXWmRw7pvIgqe55MkyKiyEvT33X0ajqbB45alJfr76pYusbdDrV9aGQKmPyZxONqE5MSyvx0IYuJ7jcqiyhsJJBKKTeRVaWknGGW1P1wVTl6e2OzoBWcMGg8uZOrMElpihBvZimJijIV79rapSCq6jYS26uRiBosm+/qvh+fwMPPXQnl+7aSVHRr1J6aiYJBRbrBWua+oCjUfWhBQJKESrll7g21vM3UelMU31kbjfkZCcaqSNH4MgRk7w8k8ZGVSE1TSlGu03tnACwb58qb36+alyqq1Vah1N9VFlZqpfn8WhUVUFFhUlJsWosQ5ai9LdCc4sqk8upyqeUt5naImhJErA+crcLsrM7HwEEgyYHDtBBdnabapAzMoiPmk3TJBiCigr1sTjsqpdst6vGurExsVGtZjXwTkfi+brCNFWnoqYW3nhjAwD//d8SPv7xWaoh9NlocWkEgyYHD6nnttuhslIph8qq7eTmnJc2/3BEKZXmZvW+Y88bV3CWrFxOyMnpXFahkMmOnapTkJdrcrRCXZeZpWQQDqvOWUMTmFHVuJqm9R5sSqYej+rhR6MqT5sNNm1S05MzZ13O88/9me07NjH9rLNTyhAb5e87YHVQtERDm+mNYpqqAU0m9m5criQ5hE1M06rXqHd2rFrV76xMk7aAauxB1ZuYbKIm2KyRpM0OdmesE5kojwm43SYZGTHlnbivZikbE9XJSC6rw66Rk5P21QGqXtXXW+vxJrjcZjx/h/Wdpxt1eTwaNbWocICaJbSYkrKrBj9ZMZumSW1dYu1f08Dp6liXIxGThgaorlbfYGd5gao3Bw7BvgMmWZmqngcCVnuSozqQ+633Gvt+kxV0MrGOeWZmTC5KztGoei9Op8o3GlWd8dpa1fbEnjkYhLFjobSkDyo4Xde/AHwTKAO2AF81DGNZmrTDgb2dnLrMMIyXequMoZAyk0xWcK2tDUSjUWw2m1qHa1INmM2mUWspuEOHlHWZ26Xhtj7YQwd3AmAYa8nJ6d4L0zQt/uE7nSf/HDab+ihjozGPJ/00mNulPhq1vtj5RxDL0+dTyrOmDqI1CUVpt6tRYDIeT4csThiXS4s3gKZpdjkNpmlK9m5Xx3NOZ2LUfTJoWmLa9FiVGtFv37YSrze1PMnljUajVFcrBbdnT9drtA67mmY8FZxOjbw8Nc1bUal6x8mK2+nsuk5FoyahcEeF7/dXAnDJxVfw/HN/ZqexjhnTz0m5VtPUKMntVr+T31Vmpo2Wlu7V/w7TYS5VH2Odl67qcYe8PB3rYDisRm0uNx3e3algt2vxRj12n+7mb7NpeD0a3m5+L5qm4cs68TKlw+nUyLHqRSCoOrnJZU/3TXUHWxqLjtjUPO2euaGh99c7e8XIRNf1G4AHgZ8CZwErgBd1XR96nEsvRSnE2N/i3ihfjFB8BOcF1BqcmhZRu57GeoJtlj9cjTVFWV1dgd/fkpLX/v1Kwe3bt4OWlkZOB7GP53iNgqZpeL0aWVnHT2uzafiyNHKyVXqvR8PdjTWIU+V4azzvFvsPKAW3efMaQqH0O9/W19fEzx9PwfUkGRka2dnaCa+52WzqPba/rvqYGsHp46ZRUjqYLVuPb0nZ0+9KdV6OXzePh8OhpuEcp5hPd+7TF3G7tG6te/dlesuK8lbgUcMw/mAYxjbDML4EHAU+f5zragzDqEj669W9tIOdjOAAWlsa4mk0LbFdTmwNDuDw4X0pecUUnGmabNu2vncKfAKYpsm+fTtOdzH6PAcO7MLnyyEQ8GMYG9KmO3bsCADFxeXs3bPtjLMcDIfDvLNuOdHYfGQaqqsrcLky8PlymDhhBls2n5glZSQSOZViArEp0MDxEwrCcehxBafruguYAbzS7tQrwNzjXP4fXderdF1fruv6B3u6bO0JdbIGB6Ssw7lc0GANyGprqvB41DzAwYO7U/Lav38nRUVlAGzdcvr9h1599T986KY5bN++/nQXpc/S1tZKZcUh3vve6wBYv35l2rTHqtT05DmzL6S1tYWKikPvShm7y9KlL/DFL17FL+/9ZpdKrrq6gsLCEjRNY8LEGVRUHEzp2HXFqlVLmDunkGPHjp5SWZ9++vdcecU4Nm1cdUr59CV27Nh0xtWZ/kBvrMEVAnagst3xSuCiNNc0A98AlgNh4CrgKV3XP2YYxj/aJ/Z6vdjtp7aIYbeF0VC9TZ8vF4/HQ35+MQChsB+PNaGfkaEsuEzs1NVVM3XqObz11mIqKw+RmTTpffDAbqZMOYddu7ZgGBtSzp0OXnrxSQBWr36dGTPec8LX22y20/4Mp5tDh1Qn5uxzzmfNmqVs3rSazMzMTmXT0FADwPnnXc6z//s7R47sZfTocWnzXrbsJfLzi5g4cUbvPUAS+/aqadNnnnkUm83GHd97CFsniya1dVUUl5STmZnJzJnzANi9awtDFow47j3eeP052tr8HDy4i+HDR590WV9f8j+amxu59dbr+e3vnmfKlLNPOq/u8tZbixg5cjzFxeW9ep/O6k5rawtf+r+rmTfvvdzzs7/16v3PJEKhKFmZNnw+1Zbb7XZ8Pl+P3qM3rSjbz9FonRwDwDCMauCXSYfW6LpeCHwL6KDgWltPfYvtSNRNs7VWZmLD7/fjcKiR3A6jitGj/XHzZc0GmzfBsWOVTJlyNvn5xezdY9Bi2ceGwyEOHtzDufOvwOl0sXr1GzQ3N3dYm4hEzFNeV4hGY35g6fM5VnWEt99eAsCby17m5pu/2iFNbW0VNTVVtLQ00draTFnZEEaMSDTImZmZ8efrCUxT+esAoLwGLItSjXA4TGtLE9k5ecfNp6GhFpvNjs93HFO3HsDYvgmAkpIhTJk6m8WLFtLY2Eh2dnYH2Rw8tBe73cHEibMA2Lr1HWbMmN9pvi0tjdz6tRtxOp385S+LGTxkZO8+CLBt2wZGjBzH/PmX89dH7yMYDHLbt+/voOSqKg8zevQkWlpaGDZ0LHa7g7Vr32TW2Qu6zN80Td5882UAdu7cyvTp555UOZuaGti0aRXve99HWLduOZ//3JX86tfPMG7ctJPKryuCQWVxGWhr4gufv5rLLruB73z3VyeUx8JnHqWuvpqPf/wb3Urf2Xf13HOP0dTUwIGDe7r9zR3PCKunCQRV022P+3QqK3BlnXtivp0xWluVUVxTk6qDPp+PpqamE84nLy99u9EbCq4aiACl7Y4X03FU1xVvAx/vqUJ1RmduAgCLl9RTNgimn6XSKd+uEI2NNbjcxZQPGsG+fbs5ckSZ5B88tJdIJIzDMYb8glJqap7m4MFDDB06hGhU+YrUVCtTWZvdxOtR1mIZ7oT5dMyM30yaPbLbE24FbW3KDLquXvmgeL0m+QXgy+q4yP3qq//BNE0uvPAalrz+LBUV9TgcOfgDkJ0FlZXb+MTHz0uZqiooKOXxJzfHuyCRqEkgoMzflQl+5xU4prhi7g6RiDLjjkbU/wMBFdPT7099NlNT+RYWmjz37EM89eRDPPf8NjTNEfdXcrtSHbo3bnibb3zjRmbOnM9P7/5r3Pco0JZqwmyzKzPqmHVqRkbnrgHhiIkZhYMH9/Cff/+RL335TtxJJmQHLAOTIUNGMm3aHP7337+xa+dWxow9h2DQTCnbsaojFBaVkpmVS3FxOXt2qxFTNKpMyINBJQdPBrzxxrMEg21omsZ3vnMLv//DS9jtnhRn6phDdXK5Y75cfn/Cty3mQHw8J97du7cyefLZfOYz38Fus/PnP/+C7Ow8Pv2ZHxAMqvpls0F1dSWzZ6uJFneGh9GjJ7J581r8fuWo3d5gIxpV7//Age3xqcnDh04uhmU0arJyxVKi0ShnnXUjl1/5DX74g6v4ypc/wMOP/I/Royd2uCYYVKbuyt+v4/O3VwQx37rqarX0oAGbN68mEgmz8q3X8fujeDzdW7kxTZM///kXNDTUct11nyErK7vL9OGwSWurctxvblW+bDYbPP30XwGoOHqImlr1jtvawOuB/PzUzmyr36SyUvnAlRabZGenPncgaMZN9SNWoAGPFzK9XRsDxVxj7EnfeqztOnbM8nWzOqamCZqmlFts1OJ2mxQUKF9Ep1P5BcZcYTRNtXeudt/zu0GPKzjDMIK6rq8FLgb+mXTqYuDfJ5DVNJRhSq8RCsUUnBXJxNoyJxKpZ+kymDQx4bfT0qJCMjjsxWT7RrJ16xIaGtX5+nplYDJy1Gii1ihl0eK1zD93MIEg8UgDPp+qeKGQ+sDMKPEaYlr/1tUe5r8L7+bSK75CWckYdTyaUAgxx91gEA4fUsdtNlM5P1vf5cKFTzNi5AzOmv5JFi1ayMuvLGPGjCux26G+Fv71ryfQNDu33vp7bI483ln3Cote+x2bN9WQ5StA08CdEVaKw5KVy2niy1J+Vk6Haqybmyx/uGjCkVlLuLyBlmiIvd6EQ2+MSASqKmHRopdobKxj+Yo9FOSPTQzzLZl4PCbbti3il7+4hWDQz6ZNa9i7Vyk3iEXWSOQbtfy+Yj5TDgfkF5hk+9Q9W5qVz1UgpNI//vdHeOONRxk15irOOXs2ublKzvsP7KSkZDAOp4exY2cD8PKrb2FzzIgrBK/XxOWE/QeOkJVVzrZtUFQ8nq1bt7N5s3qS2PPYbKpsz/znacrKRvClL9/Nd79zE9/73je4+aMPYbMeIuYcbAKhcDNPPv5tLrv8yxQWjonLFUhpYEA1Mp4MwAbRsPIhi0bViLGi4iDzzv0YO3bCe869jdVr1vPqa89z3vk/iMva71ejeZe7hJYWZao/eOgMli97mh07I9hs9riTejRiOdaHVBleffU1AAoLy9mzdw/Hjik3hEhYlceuJd5R2Cqb8gFM/IXDsHjJ62RkZDF0+AzAyZe/spCf33MZd/7wq9x9z8u43coBua1NKahgSAnA4YCiQuX4b7crv7i6ehVUQLOZqrPkVOn9rcpfLStLlWnfvhUA1FQfZvnyPYwbN4qiIpVnOKw6W2HrWWLlttng4MH1VFcrq9PXXnuRefOup6VFpY8FcLA7LB/XFnWdOyNCIJDolOzft5ldO9eSnVNMbW0lBw+GcLud2O3KD7O6GvLz1XPV1kFdnWpL7HYV/N3phOIik2AYGuuV4sOqP+FIiLragxQUjiQjA0qKTTKz1PcaiahnCVhKqLnFCj4B2O0m7oxEFBe31XZ1RSgER4/CkSMqak04rOqx3WqTqqtV/ULT8HqysNmhzQ+5uVBa0nXep0JvTVHeB/xd1/VVqHW1zwHlwG8BdF2/GzjbMIwLrd8fA0LAO0AUeB/wReC2XiofkOwHF1tvy0LT7EQiDTQ3w6rVMM9avqqvV4PPkrJiQuGRrFjxBJrWgt2eydEjSsGVlY3B5XLjdLo5cmgtkejVVtinxD1ttkRPpj2Vlfu49xfXUl19kJbWKr59+9Npyx7LIzZyif27f/8WDh3awi0f/xlTps7E48li184lnHfelQBE3RFWr/o3U6ZexMTJ16iPxRZm0Wu/o6FhB2XlcwDweGz4k2pHJKIaFOWsaTmcOhMK92RQI9cm9u1dB8DhwwZDh45NUVamCSuW/5ff/uZzlA8ax4QJC3j5pV9RU1tDQUFBB6XZGZEIVB+DY1XW1KjlcOxzq+nldeueVbLb9xa6PpuaWvVMhrGL/ILRbNsOmEPILxjM3t0ryc7+Ek6nKlsopBrb2pojDBs+iSwfDB8+jldefhOPN4zN5kgpY3X1IbZvf5Orrr6NgsKLuPLKb/Lssz9n3LizufCij3Uo+4rlL/PmsieoqNjFD+98vtN1s+TnbLFm75NHgkeOqNHk0KHj4xFTRo+exuZNi3C5E8HGmxpVHXdnlLLH8kodOWIGi179M42NOxgyZLy6R4vKw+EEt+VvuHXLYgYNHs/gwRPYvXstVccSZYi9R9XzV3/J5Ys9kssF27e9zsSJ8/B6lbPWiBFDuf6G7/CH33+FN954gWlnXUE0mnAa97kTz15RARWVicgpDodyQo45k/vb1Dlfu4HW9u0rycsrpa6ugr17l1I+aBR1dQk3od888lGKikZw3fV3xsttmvDqKy8rPzVfES+99F9Gj7neGkkrReNvI15Wd4Y67vFo+P2Je7/xxt9wOt1cceXneeKxOwkFj5KbOzQuD9NUQRRqalS9jUWGAfX9hcNw+IjK2+1OKCLTNPn1rz7P6lXP89AjG9G0Ig4ctDpE7Ry423/H0agV/MHRfX/SmN9lTNYZnfj5/fzn15GVlcs3v/Ukpqk6H8FetZPvJTcBwzCeAr4K3AGsB+YBlxuGsd9KUgaManfZHcAaYDVwI/AJwzDu743yxWg/RakcfHNxOBoYOxZWrFQ9QSAeozInp5jSUrXgXlmpWoEjh3eSl1eK1+vD4XAxbPhkdu1aF+9pdYfDh3fyox9eSVtbMwsu+AgbNyxm86alx70uuZGw2WDF8qex2x3MnnMNDoeTCRPPZeOGJXGz9c2bllJfX8l5511vOdLCoMG6VYb0m1zardFjlk99RFlZ6oM6WeUWY/u2lUStYW/F0e0dFNaOHW/zyMOfZtTo6Xz/BwuZPuM8K+2Wbim3WNljoYKyfGo06bCU95Yty2hqqsFud2BsX4nXq9J5PCaVlbsYMmQ0PuvaCePnsH37ypTIIyrCikld3VEKCpSBwpChEwiFAlRW7u1QxuVv/guABRdch88HN9z0DaZOvZC/Pno7FRUdp/bWrH4em83Orp2rWbK4awMEu101SLFQXE6nes4jh7cCMGz4hPi095AhOqYZ5ejRRGi6ujo1GiktKbUitoA+bjoAO3esTrlHcsetra0Zw3iLadMuYOjQ0dRUH8DtDuLxJMrjsablY8eSyxebpq+q3EtV1T4mT0ld75t/3g2Ul49h4TN34fFE8LV7h/F37IuFjIu9w8S3EYm08sD9N3LgwLqUvINBP7t3rWPevOsoLBzMls1L1fXZKr/m5t2sf+cF3nj9z2haQ/wZvF7YvOklxoyZxbxzP8DWLUuw2RrjYcJikXdUKKrOv5O2thbeXPZPzjnnKoYPmwxAdU2qJaUqfzN2RxOZmR1nQRwO9ayZmanyeOH5R3hr5UIikRCbNi6Jh03L8qllDV+W+n9n33GsEx7Lb+/eDSxb+nS3XF9iU+vtOXJkJ7t2rmHTxjdoa2tK6fz0Jr22m4BhGI8YhjHcMAy3YRgzDMNYmnTuFsMwhif9/qthGBMMw8g0DCPbMIyZnVlP9jTtI5kA2B05aFo9F5yveudvLlfHG+qVqXRuTjGlpcoooLLCUnBHdlJePiaex+jRM9i7dwPhcKhb5ThwYCs/vvN9RKNR7vj+f/nYLfdQWDiYJ56487h+S8lEoxFWLP8306ZdRHZ2AQBTpizg2LEDVBxVFoFvLnsab2YOZ02/JH5dQcEgMjIyOXSod/zmKir28NO7PsDdd32ww0eyefNSnE43+fllHDrUUcFuWL8YTdP41m1PkpmZw7Bhah3mwIEtPVK2lSuewevN5j3zrmPHjlVxZdvQUEmbv5mysoQ1oD5uNg0NVRw5sislj5aWBgKBVvLzLQU3RBnrHDq4PSWdaZq8uexpxurnUFIyHFBWdZ/57ANEoxFeX/J4SvpgsI3161/jvPNvYuLEc3ni8R/FZxJOhIMHt+Hx+CgsHBw/Fu/UJMk8puBy88rix8rKRlNYOJg1a15Im//WLcsJh4NMnXohZWWjMM0oVVX706ZPx8aNyjBq8pTzU47b7Q6uv+E7HD68g2VL089qQKLD154NGxazYf1rvPD8IynHd+1cSyQSYtyEuUyadB5btiyL1wFIdEiCQX/8/wA1NUfYt28T02dcyuzZ1xAOB1m75sSCLr21ciF+fxMXXPhRCgoHWfke7pDuN4/8H/fcfV23892yeSmPP3YnZ5/9PrJzili/ftEJlSuZ6upD3P3T6/jNI1/g/vs+Ft9O7ER5a+VCACKREJs3dxrQqlcY0NvlxPzgnM6EgrPZcsFsoLAQpk6FNWvVXH69peBycososUZwFRV7ME1TKbhBY+N5jB49nWDQz6GD3Yto8fhjPwRN4/s/+B9Dh07A5crgg9ffzt49G1j19v+6/TxbNi+jrq6C95yb+BimWL3hjRtfp62tmdWrn2f27KtxOt3xNJqmUT5obJcjuJMhGo3w3LMPcds357Nl8zI2bXqdffs2pqTZuuVNxoydxbDhkzl8uKOC3bdvA4MG63i9au4lO7uQ3NxiDuw/dQUXCgVYveo5Zp19JZMnn4ff3xTP96ilxMrLEwpu3Hjlxrlt64qUfGprlZN3vjWCGzRoLJqmcbDd+9+7dwOHD+/g3HOvTzmel1/G1KkX8Oayp1Ia1y2bl9LW1sKsWVfyiU/+glAowN//dkfa59m4YQm/+PmHCIdT530OHtjKkKETUowMyspGYbPZUzo1MQWXl5ewD9M0jdlzrmHTxtdpaqrt9L4bNizG7faijzuHMktesc7fibBp0+sUFQ2NdyCTmXX2lYwcOY1//+tnBINtHS8+DmtWKwW9bu3L8UhFANu2rUDTNHT9HCZOOpeWlnr27VV11DRNli//FxMnnsvw4ZNZvOhv8Q7aO+uUxej0Ge9l1OjpFBYO5q23Fp5QmRYv+huDBo1FHzebggJLwVV3VHD79m5k1841HLGWQrqiuvoQv3rw05SXj+azn/8VU6YsYOPGJSn1qruEQgEevP8TRMJBrr7ma7yz7hW+e/uF7Nu36YTyMU2TlSueYcyYWXg8Pta/8+oJl+VkGdgKLtSG05kRX9dQxgk5RCL1AMw/Vw3Xn38ejh07hsfjw+Xy4PH4yMkppqJiDw0NVbS2NqaM4EaNVr5Nu3ev63DPzjh6ZBeTJs2PNw4A8+Z9kCFDJ/DUk3d1eyS4bNnTeL3ZTJ/+3vixktIRlJSMYOPGxaxe9QKBQCvz2jWwAIMH6Sm9+XT87a/f5b5ffpQnn/gxS994Mq2i8fub+OH3L+fxx37IlCnnc8/P38DhcLH0jSfjaRobq9m/fzOTJs1n8OBxHD2yi0gknJLPvr0bGTF8SsqxocMmdTqCi0ajaadR6usrMYy3U45t2LAIv7+JOXOuZdw4tfa4bZty5o5N3SW/k/Ly0WRnF7Jly5sp+dTWWArOGsG5XB5KSkZwsN0IbtnSp3E4XJwz++oO5Zt/3k3U1h5l06Y34sdWr34ejyeLiZPOpax8NFdf8zVWrniGDZ30yIPBNv70p2/wzrpX4s8AqnE5cGArQ4aMT0nvcLgoLR3J4UOJMtbVVeB2Z+LxpAY/nDP3WiKRMKtXPdfhvgAbNyxmwsR5OJ1uysqUcmo/3WqaJhvWL+rwfmNEImG2bF7G5Cnnd2rtp2kaN970faqrD7HotUc7zaOxsZpf/PxDVFenTvOFwyHeWfcKgwbrBIN+Vq9OjEa3b1vJsGGT8HqzmTRJuXXERhi7d79DZcVe3jPvg1xw4Uc5cGALu3e/A8C6dS9TUjIi3pk555yr2LhhCS1JUZC6Yv/+zezatZYLLvyoFdvTS5Yvv8MILhQKxJ8nNgpKh2maPHj/JwiHg3zt63/F4/ExdeoFNDfVsmdP51F4Dh/eycJn7uOO71zE3T+9jr17E+n+8ffvs3v3Oj77+Ye44cbvcsf3/0sw6OcH37uM7dvf6tZzgppBOHx4B/POvY5Jk89jw/pF71qknwGt4IJBf8r0ZFMz2O05hEP1gDJ5vfgiZa20bl0lTldxfE2upHQEFRV7OHJY9arKByUUXHHxMHy+AnbtOr6CC4dDVFcforh4eMpxm83OjTd9j8rKvSxZ/Pc05SceNLmych9vrVzInLnXpjwTqCmfrVuW88brj1FUNJSxYzs6zg4aPJa6uoouP9ADB7by0ou/Y9fONTz/3MP89jf/x7dvO48DB7Z2SLtm9Yvs2rWWT3/mAW79xt8ZMmQ8M2dexvLl/yYYDNLUDBvWK0UxcdJ8Bg3WCYeD8XVNUA1ufX0Vw4ZPTsl72NCJHDpk0NYWoi3JReBvf/0OX/3yDPZYjVC83Pu3cMd3LuLOH1zBihX/AdT088rlz+DzFTBx0rkUFA6iqGgohvXhHjmyC5fLE1daoBpZfdzsuAIxTWUhV2MpuIKktEOGjE8ZwYfDIVau+A/Tp7+XrKzcDvKaPuO9ZGXlsfSNJwA1+l239mWmnXUxDocabb/vqi9RXj6GP/3x6x1GUy+/9HuOVe3HZrOnTJXV1hyhtbWRoUMndLjnoME6hw6nTlHm5ZV0UDDDh0+hrGwUK1c80yGPioo9VFbuZerUCwE1wvZ6szsouC1b3uRn99zAf//7SGL7laQ2bveudfj9TfEZh86YNHk+EyfNZ+Ez9xMItBKJKAOMpmaV16aNr/POuld4/rnUaUjDeIuWlnquu+7bFBYOiU81+v1Bduxcw7Dhc9V+cOFihgyZwObNqpOx/M1/4nS6Ofuc9zH3PR/E7fayZPHfaGtrYcvmZUyffklcVufMvppIJMTatd2bpnx9yeM4HC7OnX9D/FhBwSBq2innqqr9mGYUm83OiuX/6aAYIpZVJ8ChQ9vZvXsdN970vXiHe/KUBWiaxob1r6Vcd/Tobm771ny++fU5PP3UT7HZ7Ozbu5E7vnMRv33k/3jxhd/x6it/4oorvsDZZysDNV0/h5/eswSHw5kyXRvDNBO7CSTz1sqFaJqNGTPex5SpF1Fbe6TD7EZvMaC3ywmF2nC7E+Y+DQ1gt+cSaEs08jOmw+hR8P3vVdHSUsxDj6iF2fr6kdTVLeaxJ5SCe/HlMSx+XS3MulwaGZ7prF27lj//RQVrDgTU2oDanFSlC4agru4gphll/YbhNLaorWR8WTELvYsoLJrLXx/9HosXb2X4qC+S4R5Bq7VdTcAK16dpcOTgDzFNJ1HzG/zdWr00UQ1JReUCAoG/sHXrcoaP/DqPPW7D6Ur4yoQjcPSIWpO595c7cLpm4Xb78XrV4rXbrSru5g2PoWlOJkxehjczm0BgK8uWXMQf/vA8peUT4srW7YK9e17G5Spm34EP8dgTGi4nRLmJ5qb/8v3vv0pW9hUcPbQMmy2Ll1+dRiSsVqafenoHw4aNIRyGAwfUVMi69VPYYUVGM02oqphAOBzkJz/dRUbGeGuhPcKqFf8mFKrj+9+7kiln3cvgwTdxrOoN1q7+GHaHj5ycGTz86//jpZdLcTinYmx9meKSG/jH4w68HnC5Z/PO+iU8+GuTHdt24c4YxTMLbfF9/QIBaGqeSWXFc9x77zGC4SKiUaitPgLYWLa8mOxsla65dRxHj77EX//WBrjZv+9RGhuriWrX8+//JGTa1Ky2ZPL73WRlf4C33/o7BUUNNDZsobGxmmPVV/DTe5TBgs/nZuSYh1mx7Ep++IPPctmVT5LhtlNZcYyF/7mP7JxLiEY1lix5iYbmn+LzadTVqM7HdmMCx2qsNSrLIKmhQafi6Iv85dEAaG527KjAbi9l0WKVrqFBWc42NmrY7NeyZcsvuf+BCjye0rhhyKGDKh76wUMX8M9/gcsVwuUayTvr9oBN1X2/H/bvVZ2C//z7QTZt/ih2Ry52u9qiJTcX9u9ZApqNzVvPZe16tc+bw9riyOlUZVbuK5+hqekj/PwX67HZ58aVpNsNtcfUqH7Roiew2W8nio9oFIxtL2KzZbBl2wVkZm1g08Zf8eO7qvC37icU9LN779z4N9PaNp/DWx7lsSeaeX3JQgqLLuE/C7PRNCgpvZalbzxDU/NcQqEAjS3v5al/qq17nM7pZGYO5rlnF1JTewMNDVBVdQS/34/PNwqnK2Z40obdFuL1Jf+htOxSXnk1L66k/P5B7Kg+wK8fVnXD6YSmBlXxS8uu58jhJ/jFvVtxuycSDKlOWkyZeL3QUKdGnvsOXMwf/6zkHgoW4M08i5dfXszRqm9Z7RNs2vATao4dQB9/D1nZlxONluP1NVJ97H6WLfsdS5c+SW7ebBpavseDv1J77rndkJFRRGbmDFa9vYYIiT35glanBVTd8vnUAMHjMXn55WfwZc/nkd8VEQqpjtDvf/8a4ydOYGxiXNArDGgFFwz6cSaNdhobwWbPpa2tPsVBVG2qWYU+dhITJigT4PrakVRVPoFmbsDhyGScXoZms3aHDkJu7gyOVb1GOLyT0pIxuN1K4QQtZRcKKUUZDqnF+NFjhuHxKj+XgwctM2yHxsjRv8Pp+jkH9j/O/n1/o6z8fUyd9n1GjhxGVpaqrDt3LGPLhufQx38Hd0ZZSs84IwOGjziXLZscmGaYkSOvI2oqHzab5cTtdkFZmc7mDZCfZzBx0iwiETsNDRFaWqCxAWz2NiqOPs2gwZdTUlJAIACmOZXs7Jkcq3qJs2Z8k6xM1ei1tYXYsG4JZYPeh8ttI2T5HmX6zicjowTMJ7j0kiv40x+XMmjQXMrLHTQ2qppefcwgI+MKHA5oalRrIfq4SbhdlvGABiXFk9i3B0YO38KEieNpboY9u9cRCtUxaszPqKl+jvVrv8Thg89Tfew1MrPGMmPmkzjdHt5ecTkH9t7MlGmfwYy2MmHCtWgo94ec3NkcPvQ0+Xm7CAZ34/NNoaoKWv2Jva182SpSSWbWaqbrl5ORAS+9cBR3RjH79jtpbVUO/NHoeEwzQk31Kg4dfJSKo/8jv2AOOTkXcuyYqgMOy7JtULlqoAryb+S1I39k+7Zn8Pt3YrO5mTb9QnJzlc9QczM0NU1n2Mh72LvrVv638KcUl36PqoqfEY22seDCO2lseIsli14mN2crTudEGhuVgsvwjrfemfINNKPgcI7FNCP4W/eQkzsef2sl3qyzWLVapcvOVnV/2FAoyLuWw4fuJRT8H0OHfia+oW1N9SK83hFgG0FtHZhmFHfGSBob1uJ2qzw8Hjhy8C283mJaW6vI8j7E7Ll3xIMX1NfDnj2vk5V1FjZ7LkWFyqw+HE7arNfybczJnaaex72JWWfPJSdHpaupgRef34rdnk041MiePf9kxKhP4HSaVFW+QEHRedhsmYwc/UH273uA7KyF5Pj87NsN1113Dvn5yv3hnXXn8fKLv2Xj+nsJBI5RVHKdarhNKC75KAf2P8b6d+7A7sjG7phDU6Nq/EMhjazsqzh86A+sevsBGupfpL5uLQ5HJtd+cC02WyHBIIQjGgf3LyYQqCYr+3oqKxOBHjIyBlNXu5KhQ5XPXjgMmzepkfCYcV/h6JGnafM/w4SJE3E5Vf1xWRvhNjXBoleXkeEZjtM5hIwMKCxU5wP+C9m08V6Ki2qx2/OpPraFyqPPMnzk1xkz9lN4vFjb92Tj9/+Amupb2LvnCUaM+gQ5OU4rUEKio56dO5M9u+4j09tEcZEv7rIUcxVoC6i2tLEBDuxfj791L1Nmf4WzZoCmlVFdMYmG+tcIBr/cYbTX0wxoBRcK+eM+cBAbweUQjUYIBFrIyMhKOneMKVOLueJy9futkhFs3gi1ta8yZOhornpf6rRO3YUf5vbb/8SObR/l5rtewePp3FPytVf3sXQJXH3VcAoKOktRBtxPXd1tvPTi73nt1T+zYvkKvv3tpxg+YgqRSJh/P30HRUVDuf32z3fqXwc+9u89l1DQz6c+1XmMwGh0CG8s9pCXa3DBAvB4XPiTHHZWLH+eRS/XcfPNNzM5aUmsKP9Snnzix5x37pG4mfy2rasIhRr5wPsvYVbKbKiDrIzreeGF35Cfv56G+r1cddUnuexygCzWrRpCWanB5z+nUt//y42UlY3ig+9PlV04PJoXn3PhcW9h9jkqJvc/a15D02zcdtsH8Hg+xpNP/Jjnn3uYiZPm87VbH8XrVc5P77v8Kb7/vUtZs+oX5OWV8slPzo6bSB85Modv3AqlxctobdnPJZe8n+vaLVcGg1P51BonudlruGCBqgxvLDnC4EHlfPXLiXSHDo3nW9+Ad9ZeD2jceNP3uPJ9/4fN1okNtYVpTsXYOh6iTxDwVzF16nzef01n9eaj/PEP61m86EHOm+9l26a/ccl7P8kN14+hoT6H1xdrZGe9xLXvn8hDv95KXc1gPv3JjqHNDuwfx7dvg7OmbWf2nHG8+lIFs88u5UMfUedTZyp1Nm2YSEvTM3zg/Z8B4O23/sdzC1/j8ss/z4dvVqk8ngz+9tcRLHxmIddfF8ThcBEOh/jnk2s57/ybaG6uY+2a3/OJT34qbsyyZfNSFr+6lmuu/VoHeXeklHWri8nK3Mj556We+d/CzcyZeylHDu+gufGP3Pzhj7N/3yZe+N8hPvrRb3L+AoBx7Nk5ieqqf5Hly2fQYJ1ZMwvjeYwdM4fXXnFw+OBv8Gbm8PVbL4zvq2ea07n9tokcOLCFOXOv5XOfSd1wb/fua/jedx9h/96fMGLkVObP/wrP/u9XhAJ/4Pobbrfk4+aeu5/G5yvgO7dfmGLa/+z/ynni8QYuuagp3l5UVewhKyuPz356NHXV53H06DNccdl3O0wjR6MRnvnXcubMuYpb2rlTjhl9IZs2/oLBg15n7tz388B99+Lx+PjOdz5PVqd7zQ0Dvp32DWzQZ/Gze6JMm7qeiRO7Dsn22D8WYrc7+eSnrojf6/DBi3ju2V+z4DwV9q43GeBrcG24kiwoGxrA48kFoKW5ISmdn9bWRnJyiuPHYpZe9XWVKQYmMfLyy/jyl/9ARcUefvubL6VdVK2s3IfT6U6xXOuMvLxSbvrQ9/nRT17F6XDx4x9dxZbNS1my+O8cOLCFD334hynKuj1fu/UvfPO2J9Ket9nslJWP5nAaV4Eli/9BUdFQJk5Kja84Y+ZlAKxLWntYt+4V7HYnkyZ3jMV47nk3EomE+eMfbgVI+UAGD9FTLCn37t3YYf0NwOFwMmiwzv4kQ5P1619jzNhZZGXlYrc7+PBH7uTe+1Zy27efiis3gKLioXzztsfJyMjkvPM/lOI4XVY2muycIt54/XFMM5piYBLD5cpgxIip7Ny5On6stvZI3IIyRmnpSHy+AsrLx/Dju17hqqu/0qVyA7XGN/+8G9m1ay3V1QeZOeuKtGk/dsvdjB4zk3//62683mze/4FvApCTW8yo0TNYu+ZFQC3wtzcwiZexbBSaZuPwYYPW1kaCQT+5+aVpTe3nzL2WnTtXc6zqAJs3LeXhhz7HmLFn88HrUxvD0lLlKlBZqWYn9u/fRCDQgq6fw3XXfZtwOMjCZ+4D4J11r/Dzn93E4ME67730013KJ8bwEVM6WPI1NlZTX1fJsGETueS9n+Lw4R1s2byMNWteRNNsTJ+RMLyaO+8D7N69jq1bljF+fOoGJxkZWYwePZNoNMI551zVwdp4wQVKkycbcsUYNWo6373jPzz4q3Xc9dNF3HjT95g56wpeeeWPtLYqy83m5jrWrX2Jue/5AA5HqoIssNw4Ymu6ABVH98TbmjlzruVY1f64oUsye/duoLW1sVOFM2rUWWT58tmwfhH7929m1apnuezyz3a6FtwdYkZ0O3d0vZVSNBrlrZULmTLlfLKy8uLHp027kGg0wg7jjS6u7hkGtIILhfypa3CN4MvOBVK3zGmoV07eubkJBRdzFQA6VXAAEybO46YP/4DVq57j2f/9utM0VVX7KSoa2mWEimQGDRrDD3/0IgUFg/nZPTfy5BM/Zvz4uZx9zvu6vC4jIyvtKDKRd+euApUVe9myZRnnL/hwh3KWl4+hpHQE69a+HD+2/p1XGT9hbqf3GzxYZ+Sos9i3dyPZ2YUMTmp8Bw3SOXJ4J9FohObmOqqrDzJixJQOeQAMHTohbknZUF/F3j0bmDYtdbOK8vIxHRoRgJEjp/HQI5v54HWpDbOmaYzTZ7Nnz3p1fVnno1193Nns2b0+bt1aW3MkxRgFlBL+5f1vc9fdixneiZJOx7x512Gz2dWi/MxL06ZzOt189Wt/YejQiXz45h/h8+XHz82YcSl79qznWNUBjhzewZBODExAKeuSkuEcOrSjUxeB9syZey0ATz/9U+775c2UlY3iG998DLfbm5KuNG5JqdaPjO3KelUfN5uS0hEsuOBmFi/6G889+xD3/fKjDB4yjju+/1+yswvpDsOHT+bwISPFXeDAfjUVO3TYJGbPuQafr4BXXvkja9e8yNixZ6fkPXfuB9A0jVAowLjxczrkH+uYzZvXcceuBRd8hE9+6l7OmX1Vp2WbOGk+RcWJfZ2vvvortLY0sGjRowCsWP4MoVCAc+d3HKomXAUShiYVFQkFN3PW5TgcLt5a2dHYZ8tmy2CrEwVns9mZMvl8NmxYzL//9XO83mwuvexznZa/O2Rl5VJePialk9cZO3eupqbmcLzexBgzdhZebzbbtr6W5sqeY4AruDac7aYo83JVQ1GX5FBb32D5wOUUxY/FXAUgvYIDuPzyzzN7zjU89eRPOo1MUlW1n+KSYSdU7oKCcr7/w+cYOeos2tpauPljd/VIZPHBg3Wqqw+l+AkBvP7642iajfnn3dThGk3TmDHjUrZsWYbf30Rl5T4OH97BWWdd0iFtjPOsfCZMeE+Kwhw0WCcUaqOqaj/79qoe+vARUzvNY+iwidTXVdLYWM2GDcrQYdq0C7v9rF6vr9NOhT5udvz/pekUnH4OwaCfAwe20NrahN/fRH5BWYd0WVm5nSrYrsjJLWbu3PczY+alx23w8/PLuOfnb3D++R9KOR4bVT/33MNEIuG0IzhQMj982OiWgisuHsbo0TNY/ua/yMrK59u3P93pKCDWIMcsKQ3jbYqKh5Gfr2R07fu/jt3u5PHHfsjo0TP57h3PpCjo4zFixBSi0QgHDyasd/cf2AzAsGETcbkyWHDBzaxd8yL7929m5qzLUq4vKCiPj9xi7iHJXPLeT/Hpz9wf93tMxuXK4MKLbsHh6HQtoAMjR53F5Mnn8+LzvyEYbGPJkscZNFhnRCf1urBAjeBibgGBQCs1NYfjHYbMzBymTruQt1Yu7BAAYsuWZQwePI6cpE54MlOmXUhjwzHWrH6BSy87+dFbjDFjZ7Fr59ouzf2XLP4HbndmvD7GsNsdTJ6ygG3bXut1d4EBreCS3QRisdGGDJ2MpmnsTjLxb4gpuHaVJzaKS3YRaI+maXzmsw9SUDCI59tFUTBNk6rKvZSUjEhzdXqysnK543vPcN8Dq05ohNAVgwYpS8pkh9JIJMwbbzzOtGkXxtfY2jNj5mWEw0E2blgSd+I8a/rFae8zZ+615OeXM3vONSnHBw9KRNfYu0/546R7tqFDrYgm+7eyfv1r5OaVdDqdeaKMt3r0uXklcefy9ujjzgHUFE1dnYoHXpDfuWxOhi/832+49esnvy/YoEFjKSkZwetLlGng0GEdo/An0upUHN1N9bGDQNcKDuDSyz9LefkYbv/OP8nL76jUAXy+fDIzc6ms2Itpmhjb32JcUschL6+UD3/kTuadez233Z46hdwdYu851gkC5QqSm1cS7xRcfPHHiUWlbt/AAnzwum9zzbW3xpVu+/IvuODmHtuO5qprvkJ9fRX/fPputm9bybnn3tBp3rl5Jdhs9vgUZWXlPoAUx/c5c6+ltvYoW5N8McPhIMb2t5g4Kf162FTL/cLrzeayy09+9BZjzJiZNDXVpLj1JNPcXMfKFc8w79wPdjqTM23aRTQ2VrJ37/ZOru45BraRSbANtzWCa2tTlo1FRdkMGqSzc2difjkepis3Nex1aelIdu5YnaKgYgFlk8nIyGTCxHmsX/9ainVmU1Mtfn8zxcXdH8HFtqZRcfxcJ3Tt8Rg0WEVjOXxoB5MmqSjT69a9Qn1dJQs+eXPa68aOPZusrDzWrn2JxsZqyspGdYhGEdtKB8DtzuP+Bzd2iM8Xv//hHezfv5nCwsFpe/axkF17921g48YlzJp1RY80SEOHTcTj8aWdngQoLBxMbl4JO3eujkc6aT9FeTrRNI3pM97Liy/8FrvdmRJurD2Dh+hEImG2b1dm/O3reHvmzn0/c+e+/7hliPmJVhzdTWNjNbp+Tsr5iy/5BBdf8oluPE1HiouH4fVmp0TFOXBga7zTA1BQOIj3vOcDKVN8yYwbP4cRI+fEd4Ww2TruStFTTJgwj9FjZvL8cw+jaRrvsaY+o9HU0GJ2u4O8vFJqrHiUsRFwcvlnzLiUvPwyHvvHD/jJT1/Fbnewa+dagkE/E7ow+MjJLebiSz7BsGGT4rumnAjt27XRY2YCqpPXmXyXvvEkoVAbF1388U7zO/ucK9m6dSOFhV13qE6Vga3gQgk3gQbLpiQnG8aMncmqt58jGo1is9niYbqSp4wiEZh/3qcYNGgawUAGQcsnLTbgjgWljUaVaW35oGksfeMJDh44Qn7+IDQbHDyoFuHz8obH/eSSK3zyViKhoMrbYVfmwU1N6qPMyOgY3DQWDTzZT0ZLKlvM5D0WFT22LUamdwR2u5N9e3fQ2BiltTXM00/eTWHhUCZP7jgiSzh2Opgy9RLWrX2JYNDPggs+SWzfwth9HXZwulI/kkDA2q/Ko/wCPR4fBQWD2L/fYM/ujQweMiW+n1TM7yoWDT8zs5Cc3BIWv/YPWlsaGDfuIlpbE1vSRKKJB3a7O+7eENueJWZ+Ho3GAsza+cjNP05Zb21POAxjxsxi5841TJqsTPliRiaxvDr7Q1M+U51tHdQdYr54sXdqsyl5xAIWJzNjxqW8+MJvKS8fg83mjDemkHrv0hI1at608Q08nmzs9u7v4h6JqPcfiRAPMhzPt3QkO4xV8YgXyVO/kJB/TLmk1MWkSGMaasuZ5IDAmqYxfPhk9u3dZO2dFuLwIYMpk89PucdnP/9rTDN1Ks80lX9YOGztpegk7nje1gaYykXBeWIzy3Fi9Sn5fWiaxtVXf4Vf3nszEyedh9tVTlOTSmNa6U3U8+XmDaaq6jDNTbB/n6XgykbF8w6HvFx3/U/4/W8/yfPP/YUr3/dptmxZhqZp8WnX9tsQxb6dj3/i52nLHXuXycHbo9FEuxN7P7F/c3J1MjKy2Lp1NdPOSqwnqrpo8uqrjzJy1CwK8ifR3JTII+aH5/H4eP8H7qaXjSgHtoJTU5RqBBdTcNk5qvFasvgfHD26i0GDxtLQcIwsXz7gpLlZVUqnC2bOmMoFC6bicCQ+0mhUfUCNjVDXAE47FBTAnNlTefJxCAQ2MHToIAIB2LJJDe+HDh0eV4bxxtC0Pn4r78JCtWmhUkwabW1qs9WaGghHE1tfYIJmB2+G8mHKyEjsTWWzK3+0mlrilc5mg6xMKCwAh8PBkCGjqas3GD7czhOP/5XDh7dx6zcexcSplJaW2PTQphH3xZsz51JWLH8KgHnnXszQoYn7Kvl0bNEjEZPGJqi0fM00oLRMZ9/etVRV7eGii6+jrNTqJFibcra0qHI7nTB8+EQ2rF+MzWbnggvOw+lSH6TDkWhwwxGorVEdglgJYs8di2pvt6t9qxqaVDnmvucjuN2pZQ2FiO+Pl5enMWzYTFaveo4dhppKdThK450Oh0MpdJc78UG7XEr+TU3K5w7UsXA4MbLtgGbtC2e9V7dL1YOsTCWTtja124Xf+jfeidGgfPBsfL5Chg2bSjCo6myUxKazsaWP0rLRaJpGfX0FQ4aMxYyquuu0/KuiZuoef8l71TldypnX5Va+bE1NEApFCQQgP38kNTX/Yf07b5CZlY8vewytrQkFoKG2VIl1xExUvllZan+wzEzVSWlrg8YmaG5MqudAWflklr7xKA5HmEDbTsLhIMXFEwkE1PtUHQGHetcktojBhLxcJceMjNQ6GY6YNDWpbZUam6zrkt5D7J3EV43MhMxjOdms3Rr8VsQj0/pexox5Lxdc+GkuvOA6Bg1SnTq3O6HUY/V70KBydu5cz6hR0Nqym+zsQiKRbOWja4PCIvjQTVexbu35/O+/P2XmzKvZuHEZQ4dOwTRzaWpKbIQbq9d+P/jDqeUD1V6FQqoMDjtxZRPbr8/lhOIiVdZYBzHWeTSjdiZOnMGRw2uYOMHaNiqg6sC6tcuorNjN179xK6NGJfIMBtX31dSUUKi9zYBWcMmRTBqsINlqBKeceXfuWE1Z2VhqqqvI9hUTjagXnuVTOzN3NiUW25olKwvKyhLTkXk5k7Db7ezZs56LL1bm361+NYKbPn1Yh4/teGRkaGRkQFGRGW80Yo2WGuV0nl9sG5RQyIxvxJqsfEaN0tm+fQOYdTz2j7uZMeNcPvD+Ky2rM7VLbzCodgnOcCeuvfTSBfzqQRdOp4vzz5uD03n857HbNfJyISfbVKMvO0yaOJannrKMRqZOoaAgNR/TNIlE1c7SkyYpBTdlyjkMGZKb9j55uWqn4+Zma48rd+c7YJeUqB2Mq6pSFSKaklNZuer15+XZueCCWfzrn7Bh/bPk5BYxZoxbKTJnetmDur64yKShQSkFX25iyxJHu68xtjN6NKoiebhdqfkmb0IZ21k9EomNeB388U8v4PPlkpvbUYaxumKzZVJWPowjh/dRUlLKmDFqT7m6OqXAMr1KsTocyY1bbLf0RL5FhWp3bbDR1AzjJ4zkuWdNNm58ienTz2dwuUYwqK7zemMzD1q8PLEoGMl5OlD3zskGBikFFAqqxnTmzCkseq0NzF3U1ipr2rPPnojDoaLzFBYqWcf2M4vJpn25k3FY9TE3R+36HYkQ79DFRt/JMyyxzqhpJjYwdTg0635qh+xQ2Lqnw8ZPfnIPmZmZtLS0xO+paYkthXKyYciQwaxc8Txut0ll5V6GDRvJ2LHK0d/rjZVd4+tfv4ebP3Iuzz77bfbuWcNVV3+WUSOtTpW94/MFgurbbW1J6khbyr6r9qw9NltCaUyePJO///0BAoFWPJ5M3G71DL95+FGys/O48sprcLtT8yxA7RQeCKi9+7zdnzA4KQasgotEIkQiobiRSUODqqRqv6fRZGbmsn3baqbP/DCtrVWUlhYzduyJKaHkCuPO8DBixDi2b1sfP3bk8H4KC0vIyPB2cnX379HdPeeScTq1Tqdhho/QWbz4v9x33+20tjbx1a/dHX+OdNcAZGb6uPrqj+LO8OB0ds/CLIbNpsWdQEeMHBc/Plbv6CKgaRoO63lHj1ZrLrPnHN960u3ScB/HUM9m0+J7ZQWDZru99lLf/fjx03A4nNTVVaHrU/Fldb9uOBwaBQWkcexPKg9AN9+tpmnx0XKMIUPab7mYSJvclo0YrnPk8D4KC0vRNI2sTDVK7FAeW9cNhsulkZlpx+XSGDtGrcsEAn5mzJxDfn56+Wha+nqVjMOu4fCoEcXkycoKcceOjezZvQ2n08X4CWPiCqazsnd32lHTNLwn/0kCSnnb7dDN/ULjlBQPIhQKUl9fzaFDuzn77AWq7rb7pIYNG8OHPvx//O2v9wMw7z3z8XrTyziWR04PTglOmjyLSCTCtm3vMH36PACqqytYuvQFrr/+s7jdnT+9zabh8UB+nknmKcr5eAxYK8pgwNoqJ0nB5WTH5phtjBgxkz171jB2NDQ1VVFYmH5NpruMGzcNw9gQN409fHgf5eXDTznfnmTEcB3TNPnvwr9x7bUfZ9So9Cbm7bn16z/ji1/84andf4RScPn5xcddgJ416zxmzpzPJZd09Fc6VVwuDadTw+HQOp1edbszGDtWWfMVFXduTdhXGDFSrcMVFvXcgv+QwQnlOnXqOV2kPDmGDh2Ny5XBDmMjO3dtZsSIcSfsknEmUlKqXAX27dtBdXUlg4d0NOCIccstt1JaOgS73cHUabPTpustJk5UDt+bNyX84Z599h9EImGuufZj6S57VxmwCq4toCbJXU41RdnYqNasQM1ZT548k8OHDUKhRmprj5FfcOoKTh83lfr6GioqlJXUkSP7KC/vOSvInmDYcGXJmJtbwKc+lT5cT28x3Lq/rk857pRJfn4xv/r1M5SWDu4yXW8xaZKayi4uOnMsKE+GEcMtBdeDFm3ZOXlkZ+fhdnsYO7ZzZ/1TweFwMGbMRHbs2MSunVsYPSa9K0RfoqRE1eW1a1Tg5OSOQnsyMrzc9dO/8J3v/gqPp5fn+johJyefoUNHsXnzGrZuWcvPf/Z1/vH3XzFr1nlpZw/ebQasggsEVBSE+BpcQ0LBYcLkKbMwTZPVq9+gra2VgvxTV3Djx00DwDDWEwwGqKo6wqDBJ+4D15sMHTqKMWMm8c1v/YLsnLzjX9DD+Hw5vOc972XBgs4jRZxJTJpsKbjivq3gxlgj0UE9PJswduxkpk9/zwlPWZ9I/lu2rKG2torRo/qLglPRTNasUUEhuhrBAYwffxaXXXZDl2l6k0mTZvHmmy/xqU9dwosvPsV5513Bbd++/7SVpz0Ddg0uNkXpcmUQCqmF9WST1fHjp6NpGkuXPg/QIyO4UaMnYrc72L5tPSNGjMM0zTNuBOd0uvjr397osBj+bvKLex8/Lfc9UaZNm0NGhpfRYyad7qKcEqNHT+RPf34NXe88aszJ8pO7/tLtEHQnw5ixUwg+8yhAvxnBZWfnkZHhZetWFWhiyHEU3Onmiis+RG3tMc47/0ouvPAasrJ62e7/BBmwCi42Rel0eWiMWVDGRnAa+Hw+Ro2awIrlrwBqOgxSrfiSCYVMZcJuKhNnl6vj9JrT6WbkyPFsNzYwdZqKmBHrNUejZqdrPaeDcNi0LOKOTyhkotk6t9zqKv9kl4OMjIT7Q1eYprK+CgQS5vddWYz2NoWFpbz44g5caRbTe4LYM4cjyqLweNaprX4TjZjfWEfryXSyGj/+rJ4qMqDqs8uVQygMjY1m3Mo35moAyvTe5lCWmidT98eOSUSuGTHi5BWcaZo0t0A0DNiUla3LlahXMavTd+P71DSN4uJyDhzYRX5+CS53x6nHaFRZTndm/PRuM3nqXH40dm7cNedMo9cUnK7rXwC+idrvZQvwVcMwlnWRfjLwEHA2UAv8DvixYRi9EqwsGJuidHkSLgJJDv42mxp+79qlTJALrBFcXb3lvxRSzkCaTZnbZrhhxHBlqbVvH/hbTXxWZ6a1VZk22+0qjt7KlS+wa5fygcvKHkZ9nYnNbn1IJPk+YZkoWxIwNeVbZrMl+U8l+Uq5LP+XcFiZJ0PCf8e0/mxApq+jQopElKl+OBzzITNpqFfP0FlD6fcrReN2Ww6hYRO3W5kbxxySY6bfdssnzOlQG3zaNBg1ErKzNZqaTaqPqSliDTPuoxazBoxaBQ+FlSx8PigpUWbTTc1q7dREvYuYA3vyoCFq+RmFgokGNibYmKm8lvT/WAKnI7HhZvvnj0ZNIhFVVrsjw3oPZjzvUMhygE+qucl+iskNvEnCgT1ebk2Z4sccj7NzICdDubK0tKhMXS5SrOaiUeV6kJ2t8mqoh2hynD+rMxGNmtjtqhMWM9OPmW2bZmxPr9TjwWCi3LG6FvOdyshIbN4bDEAgGKW11cRhU+4PBfkJR3SbTUuJGgJw7JhJVRXY7CZeb8KfNOaWErTcAuL+lxD3PysuHo/dbqegoBhPRj51daoOxvzLYk734bDl1G9dl1wfW6w6X1QIhQUafr9JXT00NUKUxDcek12yr2Hs/aX8P0ne7X+aQDAmH0dMdomE4bBJS7PaVeDAgV2MGDGSNr/qRDqdlgM36ht2xn0ozUT+WsKlIzngQEo5tFR3hlgHyt+m8oh3QMyEBbFmU99ssvN4zD3CZflm+ltjvsRmyv1Nq97bbcph36Yl3kckon73Jr2i4HRdvwF4EPgC8Kb174u6rk8wDONAJ+mzgVeBpcAsQAceBVqAX/ZGGQNJU5TJUUxiaDaYNGkmCxc+CqgRXGODSXEhjBypEQ4rY5TWVpPMTA2fL9Hjy842OVphcvgQoEFRERQXKVP4iy46i1deeYxdO5eRkeFh3twSPB5lsReNmvGoCpFoqt9NKASBgPLTCgVVA6Wuizn9mvFdvrN9sZ24tRSnz2gUampMDh6GaERVxGQlVFQEBfmqnF6vg23b4chRyMw0cditcGZB9Uy5uTB6lHpu01SKpqLSpL6e+GaLOTkaGtDcYlJfpxRSWQmUlWnxRjQjQ6OoUH3EscbU7zdpC1iVX0s4lPt8WoeRcSSirmv1qwa+sTE1koPa7Vv9eT1aPBJKciObIuMgBNqUz1xLq3IsjzUisVYqEjEJtKnfWkxxoM6Zpto8sqgQMjO1lAgqyQ0EJBpff5uJ32poY42kzaY2Qs3O1lJ8iUIh1bk4csSkrl41fA67qovDh0FJibL6jHVYAkHV8YlFcwkEoLrG5MhRVQdANT7ZOUpWzU1Q36Iack2DnFwYPEjVteSoI4EANDSa1NQoGWVmQlkZlJbYiUS0lBFQV/h8GoMGmVRVmRyrVrKJRJRy9rghP0/5abndGiQ1mk4neDwepk2bRnl5OdOmaTQ1qTrY0qKeyWZX6bJ9ym8zJseWFlVPm5qVAi4v0+KdhdxcjbIypczUqC3xHOFwwrctGrE6JLFHNBM+grHvKfaXLLfMTAeVlRr1DSa1tdDcnFCLTicMHQbjxw3mnXUwfvwopp+lnqu2ziQrU3VqPJ5Epyvm/6iCIKhvwO9PRH9xOJKUE8pHUNVrM95ZyM2BIYMhK0uzOqtqo9lgyCSSpIxiis7uUIo0K0v54sbkEwwq2Tc0qrZFdbg1TFT7FPu+83LVtaqTdtwqckr01gjuVuBRwzD+YP3+kq7rlwKfB27vJP2HAS/wMcMw/MBmXdfHA7fqun5fb4zi2pIUXEWVqnwxx1kT9SJjRgQ2mw2HIw+vB4YPVw1ILDpFTk7Hj9jh0BgyWKOo0MRmS52unD59GgBLl77GiBEjyM5ODDdsNi3eA+2c9A1GTo5G11EEFWVlGkVFJjU1Jq1+yMlWH0xGO0dPh0Nj+DAbebkmu/coB9vcXMjL1cjMTI0CoVkKLzdXIxw2O/gi5eZqDB7U9RRZqo9d97t1drvyWfJ6NQqP41d2POKy92kUJTaOIBxONHY2G2RnO2lq6sm1pe4/b0xO2dkazc0mR44qhTd5kkZWki+e3a46H+3D3GZkwOBBGqUlSgG6XB2nh2NOyk5nYpTXHrVbt8aQwanT6z6fjaamE+uWu90aQ4ZoDBlyQpcB8NRTT+FwOLDZNHJyOv8e25PXjfrY2dSfw6E6SOl3XTw+LpdGbq76G560/J5cliFDlKHJqFGjjvtcMf9HFVxCo6Q7jQCxZYjYVH9q3onnO7H36HKpdjEvr7PrTs9Uao8rOF3XXcAM4N52p14BOu4/oZgDLLOUW4yXgR8Dw4G9PVxMAm2Wm4A1RZmVlRo/zmZTjrI5OfnY7Q4cdjtjxmhpHUk7o7PoJBMnTsTpdBIIBBgxYsQpP8fJ4HBolJR07zlycjSmTU1MG3Un73ScrrWyU+VE3vm7SVaWxtgxJ1c2h0NLGwcw5qTcXU7nOlB+fve32WnPmVQfk8syeLByFRg5svcMTGLKur/TG49YiIq/UNnueCVwUcfkAJQCh9odq0w6l6LgvF4v9pMJ32GxYWOYv/5dRQN+4aVMWv1QkG/D41FDp1DIJCvLjs2mcc7sC6isqGTmzGwyM0/9g/D5fEycOJH169czZswYfL72fewzA7vdfsaW7XQjskmPyKZruiOfBQsWMG7cOM4///wBJcveqDu9qcPbTytqnRw7XvrOjtPa2noKxYLSEpNxepCD+wBcaBoMHx7F7/er4KcB8PvV7b/4hV+Slx8lGm2OR8g/VaZMmcL69espLy+nqacy7WF8Pt8ZW7bTjcgmPSKbrumOfMrLy1mxYgXAgJLlydadvLy8tOd6w0mlGoigRl7JFNNxVBejIk16urjmpPF6NUaNVPvbfOTDHr7yJThXhVJT20s4Yv83cTgzGTWyZ307pk2bBnDapigFQRAGAj2u4AzDCAJrgfYbiF0MrEhz2UrgXF3XM9qlPwLs6+kyQiKSSWy7nBjRaGItrqVVbSPj8fTsXP3ll1/OjTfeyDnn9HyMPkEQBEHRW1OU9wF/13V9FbAc+BxQDvwWQNf1u4GzDcOIhYF/HPgB8Kiu6z8BxgLfBu7sNT+4oB+bzd4hQGvyZoWhoLI67GmKi4t55JFHejxfQRAEIUGvxNExDOMp4KvAHcB6YB5wuWEY+60kZcCopPQNqBFbObAGeBjl/3Zfb5QPoK2tFaezYwSK2AjO7zfx+UgxvRYEQRD6Dr1mZGIYxiNAp8MUwzBu6eTYJmB+b5WnPcFAGy5XRy/D2AiurQ1GjhDlJgiC0FcZuLsJBP1pR3DRiNpUMZ2fkCAIgnDmM3AVXKAtvtlpMqYJwTCUl51ZjqCCIAjCiTFwFVy6NTgTnLYzN3qFIAiC0D0GroIL+jtdg9NM0OwqsKggCILQdxmwzXgg0NbpCI7YFhHvfpEEQRCEHmTgKrg0U5SYaieBXtyIWBAEQXgXGLDNeCDY1iGKCRDfcFPsSwRBEPo2A1bBBQN+nJ0ouNgUpYzgBEEQ+jYDthkPBNpwdTZFCfGdmgVBEIS+ywBWcK2djuA0E+yyBicIgtDnGZDNuGmaBAJ+XM40m8/LGpwgCEKfZ0AquGAwiGmaad0E7KLgBEEQ+jwDUsH5/X6ADqG6TNNy8JYpSkEQhD7PgGzGYwqus81OHdZecDKCEwRB6NsMSAXX1qZ283a2W4MzTbDZUc7eA1IygiAI/YcB2YzHpyjbrcFFo5Zi02QnAUEQhL7OgFZw7acoTctFwD4gpSIIgtC/GJBNeWKKspMRnF3t6C0IgiD0bQakgktYUXYygrOpYMuCIAhC32ZAK7j2obpMU43ebDKCEwRB6PM4ejpDXdfdwL3ATYAHWAR8wTCMQ11ccwvwl05OeQzDaOvpMsanKNu7CVhWlGJBKQiC0Pfpjab8AeADKAV3LpANPKfr+vHGRa1AWfJfbyg3AIfDgc1mw+vJSTmumWqjU1mDEwRB6Pv06AhO1/Uc4JPAxw3DeNU6djOwH7gIeLmLy03DMCp6sjzpuOKKK/jN75YRChelFgDl4C1WlIIgCH2fnm7KZwBO4JXYAcMwDgLbgLnHudaj6/p+XdcP6br+nK7rZ/Vw2eK4XC7GjJnW8YSm/mQNThAEoe/T02twpUAEqG53vNI6lw4D+ASwAfABXwGW67o+1TCMne0Te71e7Kc4j2i3hfG43Xg8CR0fCpl4vDZ8WTZ8voGt5ex2Oz6f73QX44xEZJMekU3XiHzS0xuy6ZaC03X9J8B3j5NsQRfnNNQMYKcYhrESWJl0vxXAeuBLwJfbp29tbT1OUY5PJOrGHwhgGVQCEGiDNj+0tUFT08Cep/T5fDQ1NZ3uYpyRiGzSI7LpGpFPek5WNnl5eWnPdXcE9wDwj+OkOQDMBuxAIXAs6VwxsLSb98IwjIiu62uAMd29psfQwN7jtqWCIAjCu023mnLDMKrpOO3YAV3X1wIh4GLgcevYYGA8sKK7hdJ1XQOmoKYs3z00a0fvgT14EwRB6Bf06FjFMIwGXdf/BPxC1/UqoAa4D9gIvBZLp+v6ImCVYRi3W79/ALwF7ES5FXwZpeA+35Pl6w6a7AUnCILQL+iNybivAWHgKRKO3h81DCOSlGYUcDDpdy7we5QhSgPwDjDfMIxVvVC+9FirhHa7xOoSBEHo6/S4grOcs79k/aVLM7zd76+hFONpIxoFzYpiIjvlCIIg9H1kMs7CNNVu3iYyRSkIgtAfkKbcIhq1QnSZMoITBEHoD4iCs4jtJKAhIzhBEIT+gDTlFvEpSitclyAIgtC3EQVnEY0qB28N2fBUEAShPyAKziI2RQkyRSkIgtAfkKbcIhpNWFGKkYkgCELfRxSchWlaU5SmjOAEQRD6AxJWOAlN62LLA0EQBKFPIWOVGFYMSnETEARB6B9IU26hmQnrSVmDEwRB6PuIgothjeBMWYMTBEHoF0hTnkRMsdnEEU4QBKHPIwouhil7wQmCIPQnpDlPRks4ewuCIAh9G1FwFjH3ABnBCYIg9A+kOUcZlmiauAgIgiD0J6Q5ByIRcDjFglIQBKE/Ic054G+F4iI1TSlrcIIgCP2DAa/g2trAkwl5uWBGRcEJgiD0F3o8FqWu658BbgLOAnKAEYZh7OvGdR8AfgyMAnYD3zUM45meLl8yZhRCQRg2FDRNwzRNmaIUBEHoJ/RGc+4FXgF+2N0LdF2fAzwFPAZMs/79p67r5/RC+eK0+qGoCDwe5dhtmmAXBScIgtAv6PERnGEYDwDouj7zBC77KrDEMIy7rN936bq+wDp+U0+WL5lMLxQWJX5HTdBEwQmCIPQLzpTmfA5q1JfMy8Dc3rqh2wVlZeCwJ4XlMtWmp4IgCELf50zZD64UqGx3rNI63gGv14v9FK1BSktMwEZmZkLBRSImvmwNn0+0nN1ux+fzne5inJGIbNIjsukakU96ekM23VJwuq7/BPjucZItMAzj9VMoS/u9RrVOjgHQ2tp6CrdRRKJeWlpb0JL2xmluMWlrg6amM2Vge/rw+Xw0NTWd7mKckYhs0iOy6RqRT3pOVjZ5eXlpz3V3BPcA8I/jpDnQzbw6o4KOo7ViOo7qehUxMhEEQeg/dEvBGYZRDVT3YjlWAhcDv0g6djGwohfv2RETNNkqRxAEoV/QG35wpajR2Fjr0ARd13OBA4Zh1FppFgGrDMO43UrzILBU1/XbgWeAa4EFwLyeLt/xEP0mCILQP+iNCbnPAe+gfNkAnrd+X5WUZhRQFvthGMYK4EbgY8BG4KPADYZhvN0L5UuLpombgCAIQn9BM81O7TjOaOrq6k650NU1XvbtbyYryYqyvsFkvK6RkyPDOFkMT4/IJj0im64R+aTnFIxM0jbYMl5JRhy9BUEQ+g3SnCdj7QknCIIg9H1EwSWhyX5wgiAI/QZpzpPRlKGJIAiC0PcRBZeMjOAEQRD6DdKcJ2HKCE4QBKHfIAouGVMUnCAIQn9BFFw7ZIpSEAShfyDNeRKaTFEKgiD0G0TBJWGKkYkgCEK/QZpzC9M0LTcBGcIJgiD0B0TBWchecIIgCP0LadItTBPs9tNdCkEQBKGnEAVnISM4QRCE/oU06RamCTYZwQmCIPQbRMFZRMXJWxAEoV8hCs7CjMoanCAIQn9CFFwSsgYnCILQf5Am3SJqgt1xukshCIIg9BSi4CzMqEQxEQRB6E/0+JhF1/XPADcBZwE5wAjDMPYd55pbgL90cspjGEZbT5exM0wTbGJkIgiC0G/ojUk5L/AK8F/g/hO4rhUYlXzg3VJuYPnByRSlIAhCv6HHm3TDMB4A0HV95gleahqGUdHT5en2zcXRWxAEoV9xJo1ZPLqu7wfswHrge4ZhvPNu3VxCdQmCIPQvzhQFZwCfADYAPuArwHJd16cahrGzfWKv14v9FLVRXZ1JpjeTzEy18BYIRsnOtuPzyTAOwG634/P5TncxzkhENukR2XSNyCc9vSGbbik4Xdd/Anz3OMkWGIbx+skUwjCMlcDKpPutQI3ivgR8uX361tbWk7lNCpGol5bWlvj2OP5Wk5YWjYwMsTQB8Pl8NDU1ne5inJGIbNIjsukakU96TlY2eXl5ac91dwT3APCP46Q50M28jothGBFd19cAY3oqz+4gbgKCIAj9h24pOMMwqoHqXi5LHF3XNWAKasryXUHTJBalIAhCf6I3/OBKgVJgrHVogq7rucABwzBqrTSLgFWGYdxu/f4B8BawE8hGTUtOAT7f0+VLiykjOEEQhP5EbzTpnwPeAR6zfj9v/b4qKc0ooCzpdy7we2AbyoduEDDfMIxVvVC+TjFlBCcIgtCv0EzTPN1lOGHq6upOudDVNV727W8my7KibKg3mThRIytLtBzIYnhXiGzSI7LpGpFPek7ByCRtoy2TchamJlOUgiAI/Qlp0i00ZIpSEAShPyEKLoYYmQiCIPQrpEm3ECMTQRCE/oUouBimKDhBEIT+hCi4GDKCEwRB6FeIgrPQkDU4QRCE/oQ06RamCTbZ0lsQBKHfIAoOiEZNGb0JgiD0M6RZB6ImOM6UnfEEQRCEHkEUHNDaAoUFp7sUgiAIQk8iCg6IRqGwUNbfBEEQ+hMDXsEFAiaZmeD1ioITBEHoTwx4Bef3Q1nZ8dMJgiAIfYsBreDMKNg0yM2R0ZsgCEJ/Y0AruJYWKCoGh0MUnCAIQn9jQCs4NCgS4xJBEIR+yYBWcHm5kJl5ukshCIIg9AYDVsHZbVBWCppEWBYEQeiXDNj4HWVlNlpbRbkJgiD0V3pUwem6ng/cCVwMDAOqgeeAOwzDqDnOtR8AfgyMAnYD3zUM45meLF8yTqcmwZUFQRD6MT09RVkODAK+BUwGPgLMB57o6iJd1+cATwGPAdOsf/+p6/o5PVw+QRAEYYDQoyM4wzA2A+9POrRL1/VvAs/pup5tGEZjmku/CiwxDOMu6/dduq4vsI7f1JNlFARBEAYG74aRSTYQAFq7SDMHeKXdsZeBub1VKEEQBKF/06sKTtf1XNS62h8Mwwh3kbQUqGx3rNI6LgiCIAgnTLemKHVd/wnw3eMkW2AYxutJ12QCzwKHUWtyx8Ns91vr5BgAXq8Xu93ejSzTY7fb8fl8p5RHf0bkkx6RTXpENl0j8klPb8imu2twDwD/OE6aA7H/6LqeBbxg/bzSMIy241xbQcfRWjEdR3UAtLZ2NdvZPXw+H01NTaecT39F5JMekU16RDZdI/JJz8nKJi8vL+25bik4wzCqUSb/x0XXdR/wImoEdqlhGM3duGwlyrXgF0nHLgZWdOeegiAIgtCenvaD86GMRbKBa4BMa6oSoNYwjKCVbhGwyjCM261zDwJLdV2/HXgGuBZYAMzryfIJgiAIA4eeNjKZAcwGJgA7gKNJf8kWkaOA+C5shmGsAG4EPgZsBD4K3GAYxts9XD5BEARhgKCZZqd2HIIgCILQpxmwwZYFQRCE/o0oOEEQBKFfIgpOEARB6JeIghMEQRD6JQNyPzhd178AfBNlybkF+KphGMtOb6neXSyXjPcDOipW6FvA7VbA7FgaDfgB8BkgD3gb+KJhGFve/RKfPnRd/w5wF/CwYRj/Zx0b0LLRdb0MuAe4HPABe4DPG4bxhnV+QMpH13U78EPUTiplKAvyx4AfxsIVDhTZ6Lo+H/gGyrq+HPi4YRiPJp0/rhx0XXcD96KC7nuARcAXDMM41J0yDLgRnK7rN6D87n4KnIVyJn9R1/Whp7Vg7z7nA4+g3DcuAMLAa9aefjG+BXwd+BIwC6gCXrX8HQcEuq7PBj6Ncl9JZsDKxooxuxwVzOEKYDxKDlVJyQaqfG4Dvgh8GRgHfMX6fXtSmoEimyxgM0oG/k7Od0cODwAfQCm4c1E+1s9ZHYnjMhBHcLcCjxqG8Qfr95d0Xb8U+DyplbBfYxjGe5N/67p+M9AAvAd41updfRW4xzCMf1tpPoaqhB8CfveuFvg0oOt6Dqr3/Ung+0nHB7psvgUcNQzjo0nH9sb+M8DlMxd41jCMZ63f+3Rd/x9wDgws2RiG8QJWyEZd1x9NPtcdOVjf3ydRI79XrTQ3A/uBi1A7znTJgBrB6bruQg2X22/N8wqyNY8PVR/qrN8jUPFB47IyDMMPLGXgyOr3wL8Mw1jc7vhAl801wNu6rj+l63qVruvrdV3/P6vRgoEtnzeBBbqujwPQdX0CaoYkFpt3IMsmme7IYQbgbJfmILCNbspqoI3gCgE7nW/Nc9G7X5wzigeB9ai4oJAIft2ZrAa9S2U6bei6/mlgNHBzJ6cHtGyAkcAXgPtR63DTgF9b5x5iYMvnZ6jO4lZd1yOoNvYuwzAesc4PZNkk0x05lAIROsZB7vZWagNNwcXo9tY8AwFd1+9Dxf2cZxhGpN3pAScrXdd11BrtubH4qWkYcLKxsAFrkmLJvqPr+hjUWtNDSekGonxuQIUa/BDKgG0a8KCu63sNw/hTUrqBKJvOOBk5dFtWA03BVaN6BN3emqe/o+v6/ag4oAsMw9iTdKrC+rcUOJh0fCDIag5qtL9Z6TpAjfzn67r+OWCidWwgygaUZeDWdse2oYwJYGDXnV8A9xqG8aT1e5Ou68NQ6/t/YmDLJpnuyKEC9d0VAsfapVnanZsMqDU4qze+FrUVTzIDcmseXdcfRPU0LzAMY3u703tRFezipPQZKEum/i6rhcBkVO879rcGeNL6/w4GrmxAWVDq7Y6NRS3+w8CuO15UJzqZCIm2diDLJpnuyGEtEGqXZjDKardbshpoIziA+4C/67q+CvWhfg7lo/Hb01qqdxld1x9GrS9dA9Tpuh4b1TYbhtFsGIap6/oDwHd1Xd+OatTvAJqBx09Dkd81DMOoB+qTj+m63oLa8mmz9fsBBqBsLO4HVui6/l3gKZS7zZeB7wAM5LoDPAt8W9f1vagpyrNQltt/g4ElG2vj69HWTxswVNf1aajv6MDx5GAYRoOu638CfqHrehVQg2q/NwKvdacMA07BGYbxlK7rBShhlqH8NC43DGN/11f2O75g/buo3fE7UY6qAD9HOVc+TMIR8xLDMGRL4gEsG8MwVuu6fg1qnfJ7wAHr30eSkg1U+XwJ+DFKFsWo6dw/AD9KSjNQZDMTWJL0+07r76/ALXRPDl9D+eg+RcLR+6Od2Ap0imyXIwiCIPRLBtQanCAIgjBwEAUnCIIg9EtEwQmCIAj9ElFwgiAIQr9EFJwgCILQLxEFJwiCIPRLRMEJgiAI/RJRcIIgCEK/RBScIAiC0C/5fxd0w0z3GDdRAAAAAElFTkSuQmCC\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[\"ma\"]\n",
"for hdi_prob in (0.94, 0.64):\n",
" hdi = az.hdi(post_pred_ar, hdi_prob=hdi_prob)[\"ma\"]\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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