"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = covid.set_index(\"date\").plot(\n",
" title=\"Evolution des hospitalisations par jour\", figsize=(14, 4)\n",
")\n",
"ax.set_yscale(\"log\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Il y a quelques valeurs manquantes même pour les séries aggrégées... Comme je n'ai pas le courage de corriger les valeurs unes à unes, je prends un autre fichier et quelques aberrations comme le nombre de décès qui décroît, ce qui est rigoureusement impossible."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_20449/102400080.py:30: UserWarning: Could not infer format, so each element will be parsed individually, falling back to `dateutil`. To ensure parsing is consistent and as-expected, please specify a format.\n",
" conc.index = to_datetime(conc.index)\n"
]
},
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"fig, ax = plt.subplots(1, 2, figsize=(14, 4))\n",
"covid[[\"confirmed\", \"infected\"]].plot(\n",
" title=\"Evolution de l'épidémie par jour\", ax=ax[0]\n",
")\n",
"covid[[\"deaths\", \"recovered\"]].plot(title=\"Evolution de l'épidémie par jour\", ax=ax[1]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Même aberration, un nombre décès qui décroît... Il faudrait comprendre pourquoi pour savoir comment réparer les données. Ou on improvise. Pour chaque observation $X_t < X_{t-1}$, on calcule le ratio $\\frac{X_{t}}{X_{t-1}}$ et on multiplie toutes les observations $i\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
deaths
\n",
"
confirmed
\n",
"
recovered
\n",
"
infected
\n",
"
safe
\n",
"
\n",
" \n",
" \n",
"
\n",
"
2023-03-05
\n",
"
161407
\n",
"
38591184
\n",
"
342253
\n",
"
38429777
\n",
"
28381491.0
\n",
"
\n",
"
\n",
"
2023-03-06
\n",
"
161450
\n",
"
38599330
\n",
"
342253
\n",
"
38437880
\n",
"
28381491.0
\n",
"
\n",
"
\n",
"
2023-03-07
\n",
"
161474
\n",
"
38606393
\n",
"
342253
\n",
"
38444919
\n",
"
28381491.0
\n",
"
\n",
"
\n",
"
2023-03-08
\n",
"
161501
\n",
"
38612201
\n",
"
342253
\n",
"
38450700
\n",
"
28381491.0
\n",
"
\n",
"
\n",
"
2023-03-09
\n",
"
161512
\n",
"
38618509
\n",
"
342253
\n",
"
38456997
\n",
"
28381491.0
\n",
"
\n",
" \n",
"
\n",
""
],
"text/plain": [
" deaths confirmed recovered infected safe\n",
"2023-03-05 161407 38591184 342253 38429777 28381491.0\n",
"2023-03-06 161450 38599330 342253 38437880 28381491.0\n",
"2023-03-07 161474 38606393 342253 38444919 28381491.0\n",
"2023-03-08 161501 38612201 342253 38450700 28381491.0\n",
"2023-03-09 161512 38618509 342253 38456997 28381491.0"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from tqdm import tqdm # pour avoir une barre de progression\n",
"\n",
"\n",
"def correct_series(X):\n",
" for t in range(1, X.shape[0]):\n",
" if X[t - 1] > 0 and X[t] == 0:\n",
" X[t] = X[t - 1]\n",
" continue\n",
" if X[t] >= X[t - 1] and X[t] < X[t - 1] + 200000:\n",
" continue\n",
" ratio = X[t] / X[t - 1]\n",
" for i in range(0, t):\n",
" X[i] *= ratio\n",
"\n",
"\n",
"covid_modified = covid.copy()\n",
"for c in tqdm(covid.columns):\n",
" values = covid_modified[c].values\n",
" correct_series(values)\n",
" covid_modified[c] = values\n",
"\n",
"covid_modified.tail()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 2, figsize=(14, 4))\n",
"covid_modified[[\"confirmed\", \"infected\"]].plot(\n",
" title=\"Evolution de l'épidémie par jour\", ax=ax[0]\n",
")\n",
"covid_modified[[\"deaths\", \"recovered\"]].plot(\n",
" title=\"Evolution de l'épidémie par jour\", ax=ax[1]\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"C'est mieux."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"covid = covid_modified"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On lisse."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lisse = covid.rolling(7).mean()\n",
"fig, ax = plt.subplots(1, 2, figsize=(14, 4))\n",
"lisse[[\"confirmed\", \"infected\"]].plot(\n",
" title=\"Evolution de l'épidémie par jour\", ax=ax[0]\n",
")\n",
"lisse[[\"deaths\", \"recovered\"]].plot(title=\"Evolution de l'épidémie par jour\", ax=ax[1]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La série des *recovered* ne compte vraisemblablement que ceux qui sont passés à l'hôpital. Il faudrait recouper avec d'autres données pour être sûr. Ce sera pour un autre jour."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Modèle SIRD\n",
"\n",
"Pour en savoir plus [Modèles compartimentaux en épidémiologie](https://fr.wikipedia.org/wiki/Mod%C3%A8les_compartimentaux_en_%C3%A9pid%C3%A9miologie). On classe la population en quatre catégories :\n",
"\n",
"* S : personnes non contaminées\n",
"* I : nombre de personnes malades ou contaminantes\n",
"* R : personnes guéries (recovered)\n",
"* D : personnes décédées\n",
"\n",
"Les gens changent de catégorie en fonction de l'évolution de l'épidémie selon les équations qui suivent :\n",
"\n",
"* $\\frac{dS}{dt} = - \\beta \\frac{S I}{N}$\n",
"* $\\frac{dI}{dt} = \\frac{\\beta S I}{N} - \\mu I - \\nu I$\n",
"* $\\frac{dD}{dt} = \\nu I$\n",
"* $\\frac{dR}{dt} = \\mu I$\n",
"\n",
"$\\beta$ est lié au taux de transmission, $\\frac{1}{\\mu}$ est la durée moyenne jusqu'à guérison, $\\frac{1}{\\nu}$ est la durée moyenne jusqu'au décès."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q0 : une petite fonction pour dessiner\n",
"\n",
"Cette fonction servira à représenter graphiquement les résultats."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"from datetime import datetime, timedelta\n",
"\n",
"\n",
"def plot_simulation(\n",
" sim,\n",
" day0=datetime(2020, 1, 1),\n",
" safe=True,\n",
" ax=None,\n",
" title=None,\n",
" logy=False,\n",
" two=False,\n",
" true_data=None,\n",
"):\n",
" \"\"\"\n",
" On suppose que sim est une matrice (days, 4).\n",
" :param sim: la simulation\n",
" :param day0: le premier jour de la simulation (une observation par jour)\n",
" :param safe: ajouter les personnes *safe* (non infectées), comme elles sont nombreuses,\n",
" il vaut mieux aussi cocher *logy=True* pour que cela soit lisible\n",
" :param ax: axes existant (utile pour superposer), None pour un créer un nouveau\n",
" :param title: titre du graphe\n",
" :param logy: échelle logarithmique sur l'axe des y\n",
" :param two: faire deux graphes plutôt qu'un seul pour plus de visibilité\n",
" :param true_data: vraies données à tracer également en plus de celle de la simulation\n",
" :return: ax\n",
" \"\"\"\n",
" df = DataFrame(sim, columns=[\"S\", \"I\", \"R\", \"D\"])\n",
" # On ajoute des dates.\n",
" df[\"date\"] = [day0 + timedelta(d) for d in range(0, df.shape[0])]\n",
" df = df.set_index(\"date\")\n",
" if true_data is None:\n",
" tdf = None\n",
" else:\n",
" tdf = DataFrame(true_data, columns=[\"Sobs\", \"Iobs\", \"Robs\", \"Dobs\"])\n",
" tdf[\"date\"] = [day0 + timedelta(d) for d in range(0, tdf.shape[0])]\n",
" tdf = tdf.set_index(\"date\")\n",
"\n",
" if two:\n",
" if ax is None:\n",
" fig, ax = plt.subplots(1, 2, figsize=(14, 4))\n",
" if safe:\n",
" if tdf is not None:\n",
" tdf.drop([\"Dobs\"], axis=1).plot(ax=ax[0], logy=logy, linewidth=8)\n",
" df.drop(\"D\", axis=1).plot(ax=ax[0], title=title, logy=logy, linewidth=4)\n",
" else:\n",
" if tdf is not None:\n",
" tdf.drop([\"Sobs\", \"Dobs\"], axis=1).plot(\n",
" ax=ax[0], logy=logy, linewidth=8\n",
" )\n",
" df.drop([\"S\", \"D\"], axis=1).plot(\n",
" ax=ax[0], title=title, logy=logy, linewidth=4\n",
" )\n",
" if tdf is not None:\n",
" tdf[\"Dobs\"].plot(ax=ax[1], title=title, logy=logy, linewidth=8)\n",
" df[[\"D\"]].plot(ax=ax[1], title=\"Décès\", logy=logy, linewidth=4)\n",
" ax[0].legend()\n",
" ax[1].legend()\n",
" else:\n",
" if ax is None:\n",
" fig, ax = plt.subplots(1, 1, figsize=(14, 4))\n",
" if safe:\n",
" if tdf is not None:\n",
" tdf.plot(ax=ax, title=title, logy=logy, linewidth=8)\n",
" df.plot(ax=ax, title=title, logy=logy, linewidth=4)\n",
" else:\n",
" if tdf is not None:\n",
" tdf.drop([\"Sobs\"], axis=1).plot(\n",
" ax=ax, title=title, logy=logy, linewidth=8\n",
" )\n",
" df.drop([\"S\"], axis=1).plot(ax=ax, title=title, logy=logy, linewidth=4)\n",
" ax.legend()\n",
" return ax"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q1 : écrire une fonction qui calcule la propagation\n",
"\n",
"On suppose que $\\beta, \\mu, \\nu, S_0, I_0, R_0, D_0$ sont connus. On rappelle le modèle :\n",
"\n",
"* $dS = - \\beta \\frac{S I}{N}$\n",
"* $dI = \\frac{\\beta S I}{N} - \\mu I - \\nu I$\n",
"* $dD = \\nu I$\n",
"* $dR = \\mu I$"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"import numpy"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"beta = 0.5\n",
"mu = 1.0 / 14\n",
"nu = 1.0 / 21\n",
"S0 = 9990\n",
"I0 = 10\n",
"R0 = 0\n",
"D0 = 0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Il faudra compléter le petit programme suivant :"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pandas import DataFrame\n",
"\n",
"\n",
"def simulation(beta, mu, nu, S0, I0, R0, D0, days=14):\n",
" res = numpy.empty((days + 1, 4), dtype=numpy.float64)\n",
" res[0, :] = [S0, I0, R0, D0]\n",
" N = sum(res[0, :])\n",
" for t in range(1, res.shape[0]):\n",
" dR = res[t - 1, 1] * mu\n",
" # ....\n",
" return res\n",
"\n",
"\n",
"sim = simulation(beta, mu, nu, S0, I0, R0, D0, 30)\n",
"plot_simulation(sim);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q2 : on veut estimer les paramètres du modèle, une fonction d'erreur ?\n",
"\n",
"C'est compliqué parce que... les paramètres évoluent au cours du temps, en fonction du comportement des gens, masque, pas masque, confinement, reconfinement, température, manque de tests également... Tout d'abord les vraies données."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[28305367.1697884, 1.1640875027069664, 3.626756310367156,\n",
" 0.9857629613918629],\n",
" [28305367.1697884, 1.1640875027069664, 3.626756310367156,\n",
" 0.9857629613918629],\n",
" [28305367.1697884, 1.1640875027069664, 3.626756310367156,\n",
" 0.9857629613918629],\n",
" [28305367.1697884, 1.1640875027069664, 3.626756310367156,\n",
" 0.9857629613918629],\n",
" [28305367.1697884, 1.1640875027069664, 4.533445387958945,\n",
" 0.9857629613918629]], dtype=object)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lisse_mars = lisse[30:]\n",
"dates = lisse_mars.index\n",
"france = numpy.zeros((lisse_mars.shape[0], 4), dtype=numpy.dtype)\n",
"france[:, 3] = lisse_mars[\"deaths\"]\n",
"france[:, 2] = lisse_mars[\"recovered\"]\n",
"france[:, 0] = lisse_mars[\"safe\"]\n",
"france[:, 1] = lisse_mars[\"infected\"]\n",
"\n",
"france[:5]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_simulation(france, dates[0], safe=False, logy=True, title=\"Vraies données\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Et sur les derniers jours."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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7dmHbtm2Ij4/HunXr0KtXL/z+++9V6lsSke4YVQInMjISkZGRWssLCwvx/vvv48cff0RWVhYCAwOxYMEC1awwNjY2sLGxUdU/fvw4zpw5g9jY2LoOnargxRdfxKxZs3DixAnExcWhRYsWVUqybdy4Ec2aNcPPP/+sdqVL6a8Y2ri4uMDW1hYKhUJ1BUl5rK2tMWLECIwYMQJFRUUYNmwY/vvf/2LGjBlap35u0qQJTp06BSGEWmznzp0rU690eentNo/WLS2vC6VXsZibm1d4HJo3b47c3NxKHS+pVIpBgwZh0KBBUCqVePPNN/H1119j1qxZVeqYlO77hQsX1I5NcXExLl++jODgYLX4jh8/jt69e5e56kkXamv7tXXsquLR1+CjVzYVFRXh8uXLFZ5zfcRMRERkDL777jsAQERERJX7XadOnaqwzrFjx9C5c+cK+x4mJibo3bs3evfujc8++wwff/wx3n//fezatatSfTsi0j2juoWqIhMnTkRycjLWrl2LEydO4LnnnkO/fv1w4cIFjfW/+eYbtGzZUjUGCBmG0qttZs+ejZSUFK1X32hT+ovBo1cSHDhwAMnJyRWu98wzz+Cnn37S+OH46JTRd+7cUSuTSqUICAiAEALFxcVat9G/f3/cvHkTGzduVC3Lz8/HihUr1Op16NABrq6uiI2NVZtuevv27UhNTcWAAQPK3ZeacHV1xVNPPYWvv/4a6enpZcofPQ7Dhw9HcnIyduzYUaZeVlYWSkpKAJQ9XiYmJqqrmbRNoa5Nhw4d4OLigtjYWBQVFamWr169usz01sOHD8eNGzfwf//3f2XaefDgAfLy8qq07aqqje3X5rGrivDwcEilUnzxxRdq76Vvv/0W2dnZ5b4G9RUzERGRodu5cyfmzZsHX19fvPjii1Xqdz3zzDM4fvw4Nm3aVKZe6Wf18OHDkZ6ervEKnLy8POTm5gJ4OObh40pnauVnNZHhMqorcMqTlpaGVatWIS0tDZ6engAeXooYHx+PVatW4eOPP1arX1BQgB9++AHTp0/XR7hUDl9fX3Tt2hW//PILAFQ5gTNw4ED8/PPPePrppzFgwABcvnwZsbGxCAgIUH1oaTN//nzs2rULnTt3xrhx4xAQEIC7d+/i6NGj+OOPP1Qfdn379oW7uzueeOIJuLm5ITU1FUuXLsWAAQNga2urtf1x48Zh6dKlGDVqFI4cOQIPDw989913sLKyUqtnbm6OBQsWYMyYMejRowdGjhypmka8adOmmDp1apWOSVUtW7YM3bp1Q9u2bTFu3Dg0a9YMGRkZSE5OxvXr13H8+HEAwLRp0/Drr79i4MCBGD16NEJDQ5GXl4eTJ09i48aNuHLlCpydnfHqq6/i7t276NWrF7y8vHD16lV8+eWXCAkJgb+/v2q7TZs2BQC1QawfZ25ujo8++givv/46evXqhREjRuDy5ctYtWpVmTFwXn75Zaxfvx5vvPEGdu3ahSeeeAIKhQJnz57F+vXrsWPHDnTo0KHWj19tbr+yx662ubi4YMaMGZg7dy769euHwYMH49y5c/jqq6/QsWNHvPTSSwYXMxERkSHZvn07zp49i5KSEmRkZGDnzp1ISEhAkyZN8Ouvv6qu2K5Kv2vjxo147rnnMHbsWISGhuLu3bv49ddfERsbi+DgYFXfY8KECdi9ezeefPJJFBcX48yZM9iwYQP++OMPdOjQAR9++CH27NmDAQMGoEmTJsjMzMRXX30FLy8vdOvWTZ+HjYjKo5e5r2oBALFp0ybV89Lpla2trdUeZmZmYvjw4WXWj4uLE2ZmZkIul+swaqqsZcuWCQCiU6dOGstLp0heuHBhmTKlUik+/vhj0aRJEyGTyUS7du3E1q1by0x1LETZacSFECIjI0NMmDBBeHt7C3Nzc+Hu7i569+4tVqxYoarz9ddfi+7du4tGjRoJmUwmmjdvLqZNmyays7Mr3LerV6+KwYMHCysrK+Hs7CwmT54s4uPj1aYRL7Vu3TrRrl07IZPJhJOTk3jxxRfF9evX1epERUUJa2vrMtv54IMPxKNv8fKOmabjcOnSJTFq1Cjh7u4uzM3NRePGjcXAgQPFxo0b1erdv39fzJgxQ/j5+QmpVCqcnZ1F165dxaeffiqKioqEEEJs3LhR9O3bV7i6ugqpVCp8fHzE66+/LtLT09XacnZ2Fl26dKnwGArxcDpMX19fIZPJRIcOHcSePXvKTOMtxMNpxxcsWCDatGkjZDKZcHR0FKGhoWLu3Llq5wuAmDBhQpntaJsKdNeuXWXOWV1sv7LH7nHazndp3Bs2bKjUfi5dulS0bt1amJubCzc3NzF+/Hhx7949tTqPv7eqGzMREVF9UPqZWvqQSqXC3d1d9OnTRyxZskTk5OSUWaey/a47d+6IiRMnisaNGwupVCq8vLxEVFSUuH37tqpOZfoeiYmJYsiQIcLT01NIpVLh6ekpRo4cKc6fP1+3B4eIakQiRC2MWKkHEokEmzZtwtChQwEA69atw4svvojTp0+XGXTLxsZGNWBXqd69e8POzk7jJYhEpHtnzpxBmzZtsHXr1jq9RYyIiIiIiMgY1ZtbqNq1aweFQoHMzMwKx7S5fPkydu3ahV9//VVH0RFRRXbt2oWwsDAmb4iIiIiIiDQwqitwcnNzcfHiRQAPEzafffYZevbsCScnJ/j4+OCll17Cvn37sGjRIrRr1w63bt1CYmIigoKC1L4Uzpo1CytXrkRaWhqnyCMiIiIiIiIig2dUCZykpCT07NmzzPKoqCisXr0axcXF+Oijj/C///0PN27cgLOzM7p06YK5c+eibdu2AAClUokmTZpg1KhR+O9//6vrXSAiIiIiIiIiqjKjSuAQERERERERETVEJvoOgIiIiIiIiIiIylejBM78+fMhkUgwZcqUcutt2LABrVu3hoWFBdq2bYvffvutJpslIiIiIiIiImpQqj0L1aFDh/D1118jKCio3Hr79+/HyJEjERMTg4EDByIuLg5Dhw7F0aNHERgYWKltKZVK3Lx5E7a2tpBIJNUNmYiIiOqYEAL379+Hp6cnTEx4oa8+sf9ERERkHCrbf6rWGDi5ublo3749vvrqK3z00UcICQnB4sWLNdYdMWIE8vLysHXrVtWyLl26ICQkBLGxsZXa3vXr1+Ht7V3VMImIiEhPrl27Bi8vL32H0aCx/0RERGRcKuo/VesKnAkTJmDAgAEIDw/HRx99VG7d5ORkREdHqy2LiIjA5s2bK709W1tbAA93xs7OrsrxEhERkW7k5OTA29tb9dlN+sP+ExERkXGobP+pygmctWvX4ujRozh06FCl6svlcri5uaktc3Nzg1wu17pOYWEhCgsLVc/v378PALCzs2MHhIiIyAjwlh39Kz0H7D8REREZh4r6T1W6Of3atWuYPHkyfvjhB1hYWNQosPLExMTA3t5e9eDlv0RERERERETUkFUpgXPkyBFkZmaiffv2MDMzg5mZGXbv3o0vvvgCZmZmUCgUZdZxd3dHRkaG2rKMjAy4u7tr3c6MGTOQnZ2tely7dq0qYRIRERGVsWfPHgwaNAienp6QSCQab+dOTU3F4MGDYW9vD2tra3Ts2BFpaWmq8hUrVuCpp56CnZ0dJBIJsrKyyrTRtGlTSCQStcf8+fPV6pw4cQJPPvkkLCws4O3tjU8++aRMO5zFk4iIiB5VpQRO7969cfLkSaSkpKgeHTp0wIsvvoiUlBSYmpqWWScsLAyJiYlqyxISEhAWFqZ1OzKZTHW5Ly/7JSIiotqQl5eH4OBgLFu2TGP5pUuX0K1bN7Ru3RpJSUk4ceIEZs2apXbVcX5+Pvr164f33nuv3G19+OGHSE9PVz0mTZqkKsvJyUHfvn3RpEkTHDlyBAsXLsScOXOwYsUKVZ3SWTxfeeUVHDt2DEOHDsXQoUNx6tSpGh4FIiIiMlZVGgPH1ta2zNTf1tbWaNSokWr5qFGj0LhxY8TExAAAJk+ejB49emDRokUYMGAA1q5di8OHD6t1UoiIiIjqWmRkJCIjI7WWv//+++jfv7/a1TDNmzdXqzNlyhQAQFJSUrnbsrW11Xq18Q8//ICioiKsXLkSUqkUbdq0QUpKCj777DO89tprAIAlS5agX79+mDZtGgBg3rx5SEhIwNKlSys9i2dlKBQKFBcX11p7hsjc3Fzjj4xERETGplqzUJUnLS1Nbd7yrl27Ii4uDjNnzsR7772HFi1aYPPmzWUSQURERET6olQqsW3bNrzzzjuIiIjAsWPH4OvrixkzZmDo0KFVbm/+/PmYN28efHx88MILL2Dq1KkwM3vY7UpOTkb37t0hlUpV9SMiIrBgwQLcu3cPjo6O1ZrF8/FJIHJycrTWFUJALpdrvAWsPnJwcIC7uzsH1yYiIqNW4wTO479AafpF6rnnnsNzzz1X000RERER1YnMzEzk5uZi/vz5+Oijj7BgwQLEx8dj2LBh2LVrF3r06FHptt566y20b98eTk5O2L9/P2bMmIH09HR89tlnAB7O0Onr66u2TumMnXK5HI6OjtWaxTMmJgZz586tVIylyRtXV1dYWVnV28SGEAL5+fnIzMwEAHh4eOg5IiIiouqr9StwiIiIiIyNUqkEAAwZMgRTp04FAISEhGD//v2IjY2tUgLn0StngoKCIJVK8frrryMmJgYymax2A3/EjBkz1Ladk5OjcSZPhUKhSt40atSozuIxFJaWlgAeJulcXV15OxURERmtKg1iTERERFQfOTs7w8zMDAEBAWrL/f391Wahqo7OnTujpKQEV65cAaB9hs7SsvLqlDeLZ2UngSgd88bKyqpa+2OMSve1vo/3Q0RE9RuvwCEieoQQ4p9/AfHIMvHPMgAQEKr//1u34vVQTr1/itW2AdX/K9hGBbFoah//7IOm/SptQ1O72tsUj8Wlvv/ikZ0RKLuN0jaFpuMkHivXsM1y91vj/qnvAx6JR20fHl322D6XfV08/vp5fP/UY0SZ+hpi/adQW0yPv15Ux0nDdtXPpyhTpvHYathemW09dsyL8nNhjKRSKTp27Ihz586pLT9//jyaNGlSo7ZTUlJgYmICV1dXAA9n6Hz//fdRXFwMc3NzAA9n6GzVqhUcHR1VdRITE1WDJpfWKW8Wz6qqr7dNadKQ9pWIiIyDQimQmp6DA5fvYs/pq5Vahwkc/NvZVf7TEVWKsh3X0jKhfLhM+UjnXflPz1UpHit7pI3SZUoNXzpU23ukg/3vskc7yI91ov9pT70z/Uisj3wZ0txe2Vg0fkF7dPljXxA0dewf/9Lx6Bed0uMA1fa1fDl4tPzx/da2jYq+ZJTzhUbbl5mqfJEp2476OVB7LWlqv5w2/n2tPn4uHj0Wj+2ThrZKG9F8DMo574/ui2pbj9TVcO4eP7aPt/noeqpXgobj8G97Zbf/+PH6pxW19v+t/+h+ad4GEdWcsjBf3yFolZubi4sXL6qeX758GSkpKXBycoKPjw+mTZuGESNGoHv37ujZsyfi4+OxZcsWtfH95HI55HK5qp2TJ0/C1tYWPj4+cHJyQnJyMg4cOICePXvC1tYWycnJmDp1Kl566SVVcuaFF17A3Llz8corr+Ddd9/FqVOnsGTJEnz++eeq7XAWTyIiovqlNGHz19938Nffd3Hw8h3kFJQAqHz/yagSOP0W74GJzEr1JVgp1JMljz9/mDB4LAFT5rmed4qIiIh04vDhw+jZs6fqeel4MVFRUVi9ejWefvppxMbGIiYmBm+99RZatWqFn376Cd26dVOtExsbqzZQcPfu3QEAq1atwujRoyGTybB27VrMmTMHhYWF8PX1xdSpU9XGprG3t8fvv/+OCRMmIDQ0FM7Ozpg9e7ZqCnGAs3gSEREZOyEEzsrvY9/F20i+dAcHr9zF/X8SNtUlEcLwUxg5OTmwt7eH95T1MJE1nPu1iYiIjI2yMB/XFg9Hdna21jFYSDdK+0+Pn4uCggJcvnwZvr6+sLCw0GOEVTd69GisWbMGAGBmZgYnJycEBQVh5MiRGD16NExMNA/vaMz7TERExkOeXYC9F29j74Vb2HvxDm7nFlZqvcr2n4zqChwiIiIiatj69euHVatWQaFQICMjA/Hx8Zg8eTI2btyIX3/9FWZm7N4SEZFu5BaW4ODlO/jzwm3svXAbFzLrdixAfsIRERE1ABIJIMG/g7lKVMseFkjU6knU6quGf3102WPlD5uVQGlegmu63DGqsek/ncC5jPt6jaGVmy3mPxNUqboymUw1G1fjxo3Rvn17dOnSBb1798bq1avx6quv1mWoRETUgBUrlEi5loW9F25j38XbSLmWhRJlzW9qMqnkWPtM4FCDpukLyKNfZrR+kdHwJQYo+0VGUk47qu1XZhtq8UpQOpmGWtyPtVO6wr/br+IXt9Jy1f48vn+av7ypH9fSeo/G/O92H21DPS717ZUWqrWjoX3JI5UfrycpE9u/fyXLtPPo8XgkNmhoR+N5eaTRx+NU3576NtSOTwXbKD0+Wo/bY7E83o76sfh32eOvu8fPW/nbL3v81N8Hj9XX8lrQds7w2DbUkwj/bquitjTtT9n3oWovNSYyNK0PlN2m+nnQ9BrWcG7UYtJwLjS9n8qr/+hJ04GcnBzYf6TTTVINncu4j2NpWfoOo0Z69eqF4OBg/Pzzz0zgEBFRrXl0HJt9F2/jwOW7yC9S1LhdUxMJAhvbo0szJ3Rp1ggtHU3h9XnF6xlVAuepVi6wsLKBRAKYSCQwKe28/9NZNTWRqDqvJv98OXhYR/LP/x92dE0e+cKkagOAiYlE1RkuXb/0/6VfgEweafvfLw/q28OjMZS2+3ChKgbVNv/5z6OdbhOTxzvoZdd7dL/LfInXtPzRL1aPx2DyaGdf86+qmr4wPBpnldcvJ7Z/WtHaDlTnpuIYtX7x0vEXGiIiIqpbrVu3xokTJ/QdBhERGbns/GLsuXALu88/fNy6X7lxbMpjaiJB28b26NKsEbo0c0KHpk6wkf2bjsnJyalUO0aVwFn6QnsOiEhEREREZQgh+AMNERFVmVIpcPpmDpLOZSLp/C0cS7uHWrgrCs2crdGthTO6+TmjS/NGsLMwr3GbRpXAISIiIiLSJDU1Fb6+vvoOg4iIjMD9gmL8eeE2/kjNwJ7zt3A7t6jGbTpZS/GEnzOe9HPGEy2c0djBshYiVccEDhEREVED1srNVt8h1DiGnTt34uTJk5g6dWotRURERPXN9Xv5SEzNxB+pGfjr7zsoVtTsMhsLcxN08m2Ebn6N0LW5MwI87GBS2dGIq4kJHCIiIqIGrLKzPxmKwsJCyOVytWnEY2JiMHDgQIwaNUrf4RERkYFQKgVO3MhGYmoGEs5k4Ky8ZjMumppIEORlj25+znjCzxntfBwgMzOtpWgrhwkcIiIiIjIa8fHx8PDwgJmZGRwdHREcHIwvvvgCUVFRMDEx0Xd4RESkRw+KFNh78TYSUzOQeDazxgMQN3awxFOtXNCjpUutjWNTE0zgEBEREZFRWL16NVavXq3vMIiIyIBk5BQgMTUTiakZ2HvxNgpLlNVuS2pqgs7NnNCjpQueauWK5i7WBjVAPhM4RERERERERGQUhHg4a1RiaiYSz2bgxPXsGrXX2MESvVq74qlWLghr3ghWUsNNkxhuZERERERERETU4BUUK/DX33fwR2oGdqZm4mZ2QbXbkkiAYC8H9AlwQ29/V7RyszWoq2zKwwQOERERERERERmUO7mF2Hn24axRf164jfwiRbXbsjQ3RbcWzujj74aerV3hYiurxUh1hwkcIiIiIiIiItK76/fyseN0BnackuPw1btQ1mCmbzc7GXr7uyHc3xVdmzvDwly3M0bVBSZwiIiIiBogIWrQKzYyDWlfiYiMiRACFzNzEX9Kjh1n5Dh1I6dG7QU2tkPv1m4I93dDYGM7o7k1qrKYwCEiIiJqQMzNH06Bmp+fD0tLSz1Hoxv5+fkA/t13IiLSH6VS4Pj1LOw4nYHfT8vx9+28arclNTNB1+aNEO7/cDwbD/v6/bnGBA4RERFRA2JqagoHBwdkZmYCAKysrOrdL5SlhBDIz89HZmYmHBwcYGpq/JfPExEZo6ISJQ5cvoMdp+VIOJOBjJzCarflbCNFz1auCA9wQzc/Z1jLGk5ao+HsKREREREBANzd3QFAlcSp7xwcHFT7TEREupFXWILd529hx2k5dp7NxP2Ckmq31crNFr39HyZtQrwcYGJSP394qAgTOEREREQNjEQigYeHB1xdXVFcXKzvcOqUubk5r7whItKR+wXF+CM1A9tOpGPPhdsoKlFWqx2JBOjY1AkRbdzRN8AN3k5WtRypcWICh4iIiKiBMjU1ZXKDiIhqJLewBImpGdh6Ih27z9+qdtLG3FSCJ/yc0a+NO8ID3OBsY5xTfdelKiVwli9fjuXLl+PKlSsAgDZt2mD27NmIjIzUWH/16tUYM2aM2jKZTIaCgoLqRUtEREREREREepVfVIKdZzOx9Xg6dp3LRGE1kzZWUlP0bOWKvm3c0LO1K+wsONh8eaqUwPHy8sL8+fPRokULCCGwZs0aDBkyBMeOHUObNm00rmNnZ4dz586pntfXQfKIiIiIiIiI6qv8ohLsOnsLv51Mx86zmXhQrKhWO42spQj3d0PfNm54ws8ZFua8ErSyqpTAGTRokNrz//73v1i+fDn++usvrQkciUTCQeOIiIiIiIiIjMyDIgV2ncvEthM1S9p4O1kiIsAdfdu4I7SJI0wb6CDENVXtMXAUCgU2bNiAvLw8hIWFaa2Xm5uLJk2aQKlUon379vj444+1JntKFRYWorDw32nFcnJyqhsmEREREREREVWSKmlzMh07U6uftGnpZoPIQA/0C3RHa3db3o1TC6qcwDl58iTCwsJQUFAAGxsbbNq0CQEBARrrtmrVCitXrkRQUBCys7Px6aefomvXrjh9+jS8vLy0biMmJgZz586tamhEREREREREVEX3C4qx82wm4k/JkXTuVrWTNs1crDEwyBMDgzzQ0s22lqMkiRBCVGWFoqIipKWlITs7Gxs3bsQ333yD3bt3a03iPKq4uBj+/v4YOXIk5s2bp7WepitwvL29kZ2dDTs7u6qES0RERDqUk5MDe3t7fmYbAJ4LIiIqT1Z+EX4/k4H4U3LsvXAbRYrqDUTcpJEVBgZ5YGCQJ6+0qabKfmZX+QocqVQKPz8/AEBoaCgOHTqEJUuW4Ouvv65wXXNzc7Rr1w4XL14st55MJoNMxinDiIiIiIiIiGrLrfuF+P2MHNtPypH89x0olFW6nkPFx8kK/dt6YGCQB9p42jFpoyPVHgOnlFKpVLtapjwKhQInT55E//79a7pZIiIiIiIiIqrAzawHiD8lR/wpOQ5dvYuq3YPzr9KkzYC2HghszKSNPlQpgTNjxgxERkbCx8cH9+/fR1xcHJKSkrBjxw4AwKhRo9C4cWPExMQAAD788EN06dIFfn5+yMrKwsKFC3H16lW8+uqrtb8nRERERERERISrd/Kw/ZQc20/JcfxaVrXbYdLGsFQpgZOZmYlRo0YhPT0d9vb2CAoKwo4dO9CnTx8AQFpaGkxMTFT17927h3HjxkEul8PR0RGhoaHYv39/pcbLISIiIiIiIqLKuZBxX5W0SU2v/kzOzZyt0S/QHZGBTNoYmioPYqwPHISPiIjIOPAz23DwXBAR1W9CCJy+mYPtp9IRf0qOS7fyqt1Wa3dbRAZ6ILKtO1q42jBpo2N1NogxEREREREREemeUimQcj0L20+mI/60HNfuPqh2W8Fe9ugX6IF+ge7wdbauxSiprjCBQ0RERERERGSgShRKHLxyFztOybHjdAbkOQXVakciATo0cVQlbRo7WNZypFTXmMAhIiIiIiIiMiCFJQrsv3gH8afkSEjNwN28omq1Y2oiQZdmTugX6IGIADe42lnUcqSkS0zgEBEREREREelZQbECSecysf2UHDtTM3G/sKRa7ZibStDNzxmRgR4ID3CDk7W0liMlfWECh4iIiIiIiEgPCooV2HP+FraeSEdiagbyihTVasfC3AQ9WrogMtADvfxdYWdhXsuRkiFgAoeIiIiIiIhIRwpLFNh74Ta2nkhHwpkM5FbzShsbmRl6tXZFZKA7erRygZWUX+/rO55hIiIiIiIiojpUVKLEvku3se1EOnacluN+QfWSNg5W5ujj74Z+ge54ws8ZFuamtRwpGTImcIiIiIiIiIhqWWnS5rd/kjY51UzauNrKENHGHf0C3dHJ1wnmpia1HCkZCyZwiIiIiIiIiGpBsUKJfRcfXmnz+5kMZD8orlY7jR0sERnojsi27mjn7QgTE0ktR0rGiAkcIiIiIiIiomoqUSix/9IdbD1xEztO1yxpMyDIAwPaeiDIyx4SCZM2pI4JHCIiIiIiIqIqUCgFDly+g60n0hF/So67eUXVasfdzuJh0ibIA+28HZi0oXIxgUNERERERERUAaVS4EjaPWw9fhO/nZLj1v3CarXjaitD/7YeGBjkgfY+vD2KKo8JHCIiIiIiIiINhBA4fj0bW4/fxLaT6UjPLqhWOy62MvQPdMeAIE90aMKkDVUPEzhERERERERE/xBC4Ex6DraeSMfWEzdx7e6DarVTmrTp39YDHZo6wZRJG6ohJnCIiIiIiIiowbuQcR9b/kna/H0rr1ptONtIERn48PYoJm2otjGBQ0RERERERA3S1Tt52HoiHVuO38RZ+f1qteFoZY5+gR4YFOSBzs0aMWlDdcZE3wEQERER6cKePXswaNAgeHp6QiKRYPPmzWXqpKamYvDgwbC3t4e1tTU6duyItLQ0VfmKFSvw1FNPwc7ODhKJBFlZWWXauHv3Ll588UXY2dnBwcEBr7zyCnJzc9XqnDhxAk8++SQsLCzg7e2NTz75pEw7GzZsQOvWrWFhYYG2bdvit99+q/ExICIi4EbWA6zYcwmDvtyLHguTsHDHuSonb+wszPBcqBfWjO2Eg++HI2ZYW3T1c2byhuoUr8AhIiKiBiEvLw/BwcEYO3Yshg0bVqb80qVL6NatG1555RXMnTsXdnZ2OH36NCwsLFR18vPz0a9fP/Tr1w8zZszQuJ0XX3wR6enpSEhIQHFxMcaMGYPXXnsNcXFxAICcnBz07dsX4eHhiI2NxcmTJzF27Fg4ODjgtddeAwDs378fI0eORExMDAYOHIi4uDgMHToUR48eRWBgYB0cHSKi+i0zpwDbTqZj64l0HLl6r1pt2MjM0CfADQODPPBkCxdIzXg9BOmWRAgh9B1ERXJycmBvb4/s7GzY2dnpOxwiIiLSwlg+syUSCTZt2oShQ4eqlj3//PMwNzfHd999V+H6SUlJ6NmzJ+7duwcHBwfV8tTUVAQEBODQoUPo0KEDACA+Ph79+/fH9evX4enpieXLl+P999+HXC6HVCoFAEyfPh2bN2/G2bNnAQAjRoxAXl4etm7dqmq7S5cuCAkJQWxsbKX20VjOBRFRXbmbV4Ttpx7eHnXg8l1U55uvhbkJevu7YVCQB55q5QoLc9PaD5QavMp+ZjNlSERERA2eUqnEtm3b0LJlS0RERMDV1RWdO3fWeJtVeZKTk+Hg4KBK3gBAeHg4TExMcODAAVWd7t27q5I3ABAREYFz587h3r17qjrh4eFqbUdERCA5OVnrtgsLC5GTk6P2ICJqaLIfFGP94WsYtfIgOv73D7y/6RT++rtqyRupqQn6BLjhi5HtcGRmHyx7oT36BXoweUN6x1uoiIiIqMHLzMxEbm4u5s+fj48++ggLFixAfHw8hg0bhl27dqFHjx6Vakcul8PV1VVtmZmZGZycnCCXy1V1fH191eq4ubmpyhwdHSGXy1XLHq1T2oYmMTExmDt3bqXiJCKqT+4XFGPn2UxsOZ6OPedvoUihrHIbZiYSdGvhjIFBnujbxg12FuZ1EClRzTCBQ0RERA2eUvmwsz9kyBBMnToVABASEoL9+/cjNja20gkcfZoxYwaio6NVz3NycuDt7a3HiIiI6k52fjESUjMQfyode87frlbSxkQChDVvhIFBnujXxh2O1tKKVyLSIyZwiIiIqMFzdnaGmZkZAgIC1Jb7+/tj7969lW7H3d0dmZmZastKSkpw9+5duLu7q+pkZGSo1Sl9XlGd0nJNZDIZZDJZpWMlIjI2d3IL8fuZDGw/Jcf+i7dRoqzecK4dmzpiULAn+gW6w9XWouIViAwEEzhERETU4EmlUnTs2BHnzp1TW37+/Hk0adKk0u2EhYUhKysLR44cQWhoKABg586dUCqV6Ny5s6rO+++/j+LiYpibP7xEPyEhAa1atYKjo6OqTmJiIqZMmaJqOyEhAWFhYTXZTSIio3P9Xj4SUzOx47Qcf/19B9XM2SDY2wGDgjzQv60HPB0sazdIIh1hAoeIiIgahNzcXFy8eFH1/PLly0hJSYGTkxN8fHwwbdo0jBgxAt27d0fPnj0RHx+PLVu2ICkpSbWOXC6HXC5XtXPy5EnY2trCx8cHTk5O8Pf3R79+/TBu3DjExsaiuLgYEydOxPPPPw9PT08AwAsvvIC5c+filVdewbvvvotTp05hyZIl+Pzzz1XbmTx5Mnr06IFFixZhwIABWLt2LQ4fPowVK1bo5mAREemJEAKnbuQg4YwcCamZSE2v/oDs/h52GBTsgYFtPeHTyKoWoyTSD04jTkRERLXGkD+zS6f+flxUVBRWr14NAFi5ciViYmJw/fp1tGrVCnPnzsWQIUNUdefMmaNxoOBVq1Zh9OjRAIC7d+9i4sSJ2LJlC0xMTPDMM8/giy++gI2Njar+iRMnMGHCBBw6dAjOzs6YNGkS3n33XbU2N2zYgJkzZ+LKlSto0aIFPvnkE/Tv37/S+2vI54KI6FGFJQokX7qDhDMZSEzNhDynoNptNXexxqBgTwwM8oSfq03FKxAZgMp+ZlcpgbN8+XIsX74cV65cAQC0adMGs2fPRmRkpNZ1NmzYgFmzZqk6HwsWLKhS5wNgB4SIiMhY8DPbcPBcEJEhu3W/ELvOZiLxbAb+vHAb+UWKarfV2t0W/QLd0b+tB1q42kAikdRipER1r7Kf2VW6hcrLywvz589HixYtIITAmjVrMGTIEBw7dgxt2rQpU3///v0YOXIkYmJiMHDgQMTFxWHo0KE4evQoAgMDq75XREREREREZHSEEDiTnoPE1Ewkns3E8WtZNWovsLEdIgM9EBnojmYuvNKGGoYa30Ll5OSEhQsX4pVXXilTNmLECOTl5WHr1q2qZV26dEFISAhiY2MrvQ3+gkRERGQc+JltOHguiEjfCoof3hr1R2oGdp7NRHp29W+NkkiAdt4O6BfojshAD3g7cUwbqj/q5AqcRykUCmzYsAF5eXlaZ0RITk5GdHS02rKIiAhs3ry53LYLCwtRWFioep6TU/2Bq4iIiIiIiEg3Sm+NSkjNwN4Lt/GguPq3RlmYm6Cbnwv6BLiiV2s3uNjKajFSIuNT5QTOyZMnERYWhoKCAtjY2GDTpk0ICAjQWFcul8PNzU1tmZubG+RyebnbiImJ0ThAIBERERERERkOIQTOZ+Tij9QM/JGagZRrWajJPR6NrKXo7e+KPgHu6ObnDEupae0FS2TkqpzAadWqFVJSUpCdnY2NGzciKioKu3fv1prEqY4ZM2aoXbmTk5MDb2/vWmufiIiIiIiIqkcIgZM3svHbSTm2n0rH1Tv5NWqvlZstevu7ore/K0K8HWFqwkGIiTSpcgJHKpXCz88PABAaGopDhw5hyZIl+Prrr8vUdXd3R0ZGhtqyjIwMuLu7l7sNmUwGmYyXxxERERERERkCpVLg2LUsxJ9Kx28n5biR9aDabUlNTdCleSP0bu2KXq1dOZ4NUSVVewycUkqlUm28mkeFhYUhMTERU6ZMUS1LSEjQOmYOERERERERGQaFUuDI1Xv47WQ64k/JIc+p/iDEzjZS9Gr9cCybJ1s4w1pW46+iRA1Old41M2bMQGRkJHx8fHD//n3ExcUhKSkJO3bsAACMGjUKjRs3RkxMDABg8uTJ6NGjBxYtWoQBAwZg7dq1OHz4MFasWFH7e0JEREREREQ1UqJQ4uCVu9h+Uo7403Lcuq/5x/rKaO3+8NaocH83BHs5wIS3RhHVSJUSOJmZmRg1ahTS09Nhb2+PoKAg7NixA3369AEApKWlwcTERFW/a9euiIuLw8yZM/Hee++hRYsW2Lx5MwIDA2t3L4iIiIiIiKhaihVK/PX3Hfx2Uo7fT8txJ6+oWu2Ym0rQpVkjhPu78dYoojogEaImY4TrRmXnRCciIiL94me24eC5IKLyFJUose/ibWw/lY7fz2QgK7+4Wu1YSU3Rq7Ur+gW6o0dLF9hamNdypET1X2U/s3njIRERERERUQNQUKzAnxduY/vJdCSkZuB+QUm12rGRmaG3vyv6t/VAj5YusDDnVN9EusAEDhERERERUT31oEiB3ecz8dtJORJTM5BXpKhWO7YWZugT4Ib+gR7o1sKZSRsiPWACh4iIiIiIqB4pKFYg6dwtbD1xE4mpmXhQXL2kjYOVOfoGuCGyrQeeaO4MqZlJxSsRUZ1hAoeIiIiIiMjIFSuU2HvxNrYcv4mE0xm4X1i926MaWUsREeiO/oEe6NzMCeamTNoQGQomcIiIiIiIiIyQQilw4PIdbDmejvhT6bhXzYGIXWxliAx0R2SgBzr5OsGU030TGSQmcIiIiIiIiIxIevYD/HggDWsPXUPm/cJqteFhb4F+ge7o39YDoT6OMGHShsjgMYFDRERERERk4JRKgX2XbuO75Kv4IzUDSlH1NrwcLdG/rQciA90R7OXApA2RkWECh4iIiIiIyEBl5Rdh45Hr+OFAGi7fzqvy+l6OlhgY5IkBbT0Q2NgOEgmTNkTGigkcIiIiIiIiA3PqRjbW7L+CX4/fRGGJskrrutrKMDDIE4OCPRDi7cCkDVE9wQQOERERERGRARBCYM+F21ix5xL2XbxTpXUdrczRv60HBgV7omNTDkRMVB8xgUNERERERKRHRSVKbDl+E//35984K79f6fVMTSTo4++GEZ280c3PmVN+E9VzTOAQERERERHpQU5BMdYeTMPKvVcgzymo9HoutjKM7OSDkZ284WFvWYcREpEhYQKHiIiIiIhIh27dL8Q3f/6NuANpuF9YUun1wpo1wsthTdAnwI1X2xA1QEzgEBERERER6UDm/QJ8vftv/HDgKgqKKzcwsbXUFM+GeuGlLk3Qws22jiMkIkPGBA4REREREVEdysgpQOzuS4g7kFbpGaVcbWUY84QvXujsA3tL8zqOkIiMARM4REREREREdUCe/U/i5mAaiiqZuGnpZoNxTzbDkJDGkJrxNiki+hcTOERERERERLUoI6cAy3ZdxNqD11CkqFziJqxZI7zWvRmeauUCiYRTgBNRWUzgEBERERER1YL8ohKs2PM3vt79Nx4UKyq1TmSgO8Y/1RxBXg51GxwRGT0mcIiIiIiIiGpAoRT46eh1LPr9HDJyCiusL5EA/dt64K1eLdDKnQMTE1HlMIFDRERERERUTfsu3sZH21KRmp5TYV2JBBgY5Im3evlxRikiqjImcIiIiIiIiKroYuZ9fPzbWew8m1lhXRMJMDjYExN7+cHPlYkbIqoeJnCIiIiIiIgq6U5uIRb/cQFxB9OgUIoK6w8J8cRbvVuguYuNDqIjovqMCRwiIiIiIqIKFBQrsGrfFXy16yLuF5ZUWL+TrxNmDvDn4MREVGuYwCEiIiIiItJCCIFfj9/EJ/HncCPrQYX1fZ2tMT2yNfoGuHE6cCKqVUzgEBERERERaXD4yl3M25aK49eyKqzrYGWOt3q1wEtdmkBqZlL3wRFRg8MEDhERERER0SOu3snDgviz+O2kvMK65qYSRIU1xaReLWBvZa6D6IiooapSajgmJgYdO3aEra0tXF1dMXToUJw7d67cdVavXg2JRKL2sLCwqFHQREREREREtS07vxgfbT2D8M92Vyp507+tO/6I7oGZAwOYvCGiOlelK3B2796NCRMmoGPHjigpKcF7772Hvn374syZM7C2tta6np2dnVqih/eCEhERERGRoSgqUeL7v67ii50XkJVfXGH9EG8HzBzgjw5NnXQQHRHRQ1VK4MTHx6s9X716NVxdXXHkyBF0795d63oSiQTu7u7Vi5CIiIiIiKgOCCGw43QG5m9PxZU7+RXWb+xgiXcjW2NQkAd/lCYinavRGDjZ2dkAACen8jPPubm5aNKkCZRKJdq3b4+PP/4Ybdq00Vq/sLAQhYWFquc5OTk1CZOIiIiIiEjNietZ+GhbKg5evlthXVuZGSb08sPork1hYW6qg+iIiMqqdgJHqVRiypQpeOKJJxAYGKi1XqtWrbBy5UoEBQUhOzsbn376Kbp27YrTp0/Dy8tL4zoxMTGYO3dudUMjIiIiIiLS6GbWAyzccQ6bjt2osK6piQQvdPLBlPAWaGQj00F0RETaSYQQojorjh8/Htu3b8fevXu1JmI0KS4uhr+/P0aOHIl58+ZprKPpChxvb29kZ2fDzs6uOuESERGRDuTk5MDe3p6f2QaA54JIXUGxAt/8+TeW7bqEB8WKCuuH+7tieqQ//FxtdBAdETVklf3MrtYVOBMnTsTWrVuxZ8+eKiVvAMDc3Bzt2rXDxYsXtdaRyWSQyZjhJiIiIiKimktMzcDcLWeQdrficW4CPOwwc4A/uvo56yAyIqLKq1ICRwiBSZMmYdOmTUhKSoKvr2+VN6hQKHDy5En079+/yusSERERERFV1uXbefhwy2nsOnerwrpudjK83bcVhrX3gqkJBygmIsNTpQTOhAkTEBcXh19++QW2traQy+UAAHt7e1haWgIARo0ahcaNGyMmJgYA8OGHH6JLly7w8/NDVlYWFi5ciKtXr+LVV1+t5V0hIiIiIiIC8gpLsHTXRXz752UUKZTl1rU0N8UbPZpjXHdfWElrNMcLEVGdqtJfqOXLlwMAnnrqKbXlq1atwujRowEAaWlpMDExUZXdu3cP48aNg1wuh6OjI0JDQ7F//34EBATULHIiIiIiIqJHCCHw6/GbiPntLOQ5BRXWfy7UC29HtIKbnYUOoiMiqplqD2KsSxyEj4iIyDjwM9tw8FxQQ3P6Zjbm/noGB69UPC14sJc95g4JRIi3Q90HRkRUgcp+ZptoLSEiIiKqR/bs2YNBgwbB09MTEokEmzdvLlMnNTUVgwcPhr29PaytrdGxY0ekpaWpygsKCjBhwgQ0atQINjY2eOaZZ5CRkaHWhkQiKfNYu3atWp2kpCS0b98eMpkMfn5+WL16dZlYli1bhqZNm8LCwgKdO3fGwYMHa+U4ENU39/KKMHPzSQz6cm+FyZtG1lJ88kwQNr35BJM3RGR0mMAhIiKiBiEvLw/BwcFYtmyZxvJLly6hW7duaN26NZKSknDixAnMmjULFhb/3loxdepUbNmyBRs2bMDu3btx8+ZNDBs2rExbq1atQnp6uuoxdOhQVdnly5cxYMAA9OzZEykpKZgyZQpeffVV7NixQ1Vn3bp1iI6OxgcffICjR48iODgYERERyMzMrL0DQmTkFEqB75Kv4KlPk/D9X2lQlnNfgamJBKO7NsXOt5/C8I7eMOEgxURkhHgLFREREdUaY/nMlkgk2LRpk1pi5fnnn4e5uTm+++47jetkZ2fDxcUFcXFxePbZZwEAZ8+ehb+/P5KTk9GlSxetbT/q3XffxbZt23Dq1Cm1bWdlZSE+Ph4A0LlzZ3Ts2BFLly4FACiVSnh7e2PSpEmYPn16pfbRWM4FUXUc+PsO5mw5g9T0nArrdmnmhDmD26C1O98HRGSYeAsVERERUSUplUps27YNLVu2REREBFxdXdG5c2e126yOHDmC4uJihIeHq5a1bt0aPj4+SE5OVmtvwoQJcHZ2RqdOnbBy5Uo8+ntZcnKyWhsAEBERoWqjqKgIR44cUatjYmKC8PDwMtt5VGFhIXJyctQeRPXN5dt5mPTjMYxY8VeFyRsPewt8ObIdfhzXhckbIqoXOE8eERERNXiZmZnIzc3F/Pnz8dFHH2HBggWIj4/HsGHDsGvXLvTo0QNyuRxSqRQODg5q67q5uUEul6uef/jhh+jVqxesrKzw+++/480330Rubi7eeustAIBcLoebm1uZNnJycvDgwQPcu3cPCoVCY52zZ89q3YeYmBjMnTu3hkeCyDCdk9/Hsl0XsfXEzXJvlQIAqZkJXu/eDOOfas5pwYmoXuFfNCIiImrwlEolAGDIkCGYOnUqACAkJAT79+9HbGwsevToUem2Zs2apfp/u3btkJeXh4ULF6oSOHVlxowZiI6OVj3PycmBt7d3nW6TqK6duJ6FpTsv4vczGRVXBtA3wA0zBwTAp5FVHUdGRKR7TOAQERFRg+fs7AwzMzMEBASoLff398fevXsBAO7u7igqKkJWVpbaVTgZGRlwd3fX2nbnzp0xb948FBYWQiaTwd3dvczMVRkZGbCzs4OlpSVMTU1hamqqsU5525HJZJDJZJXdZSKDdvDyXSzddRF7zt+qVP1mLtaYM6gNurd0qePIiIj0h2PgEBERUYMnlUrRsWNHnDt3Tm35+fPn0aRJEwBAaGgozM3NkZiYqCo/d+4c0tLSEBYWprXtlJQUODo6qpIrYWFham0AQEJCgqoNqVSK0NBQtTpKpRKJiYnlbofI2AkhsPv8LQz/OhnDv06uVPLGRmaGmQP8ET+5O5M3RFTv8QocIiIiahByc3Nx8eJF1fPLly8jJSUFTk5O8PHxwbRp0zBixAh0794dPXv2RHx8PLZs2YKkpCQAgL29PV555RVER0fDyckJdnZ2mDRpEsLCwlQzUG3ZsgUZGRno0qULLCwskJCQgI8//hhvv/22artvvPEGli5dinfeeQdjx47Fzp07sX79emzbtk1VJzo6GlFRUejQoQM6deqExYsXIy8vD2PGjNHNwSLSIYVS4LeT6ViedAlnKjGrFABITU3wXAcvTA5vAVdbizqOkIjIMDCBQ0RERA3C4cOH0bNnT9Xz0vFioqKisHr1ajz99NOIjY1FTEwM3nrrLbRq1Qo//fQTunXrplrn888/h4mJCZ555hkUFhYiIiICX331larc3Nwcy5Ytw9SpUyGEgJ+fHz777DOMGzdOVcfX1xfbtm3D1KlTsWTJEnh5eeGbb75BRESEqs6IESNw69YtzJ49G3K5HCEhIYiPjy8zsDGRMSsoVuDnozfw9Z5LuHonv1LrWJib4MXOTTDuyWZwt2fihogaFol4dF5LA1XZOdGJiIj0TaFQoLi4WN9h1Blzc3OYmppqLedntuHguSBDdb+gGD8cSMO3ey/j1v3CSq1jKzPDqK5NMPYJXzSy4VhPRFS/VPYzm1fgEBER1QIhBORyObKysvQdSp1zcHCAu7s7JBKJvkMhIiNSUKzAV0mXsGrfZdwvKKnUOo5W5hj7hC9GdW0Ke0vzOo6QiMiwMYFDRERUC0qTN66urrCysqqXyQ0hBPLz85GZmQkA8PDw0HNERGQsjqXdw382HMfft/IqVd/NToZXuzXDC519YC3jVxYiIoAJHCIiohpTKBSq5E2jRo30HU6dsrS0BABkZmbC1dW13NupiIgKSxRY/McFfL37EpSVGLjB19kar3dvhqfbN4bMjH9fiIgexQQOERFRDZWOeWNlZaXnSHSjdD+Li4uZwCEirU7dyMZ/1h/HuYz7FdYNbGyH8T380C/QHaYm9e8KRiKi2sAEDhERUS2pj7dNadJQ9pOIqqdYocSyXRexdOdFlFRw2U1Ys0Z4s2dzdPNz5t8WIqIKMIFDRERERES14pz8Pv6zIQWnbuSUWy/Yyx5zBrdBOx9HHUVGRGT8mMAhIiIiIqIaKVEoseLPv7E44QKKFEqt9cxNJZjcuwXe6NEcZqYmOoyQiMj4MYFDRETUgI0ePRpZWVnYvHmzvkMhIiN1MTMXb284jpRrWeXW8/eww6LnghHgaaebwIiI6hkmcIiIiIiIqMoUSoFV+y5j4Y5zKCzRftWNqYkEE55qjom9WkBqxqtuiIiqiwkcIiKiWjb9pxOVmnWlLrVys8X8Z4L0GgMR1V9X7+Th7Q3HcejKvXLrtXC1waLhwQjyctBNYERE9RgTOERERLXsXMZ9HEvL0ncYRES1TqkU+P7AVcT8dhYPihVa65lIgNe6N8eU8BawMDfVYYRERPUXEzhERERERFSh6/fy8c7GE9h/6U659Zo5W+PT4cFozxmmiIhqFRM4RERERESklRAC6w5dw0fbUpFbWKK1nkQCjH3CF2/3bQVLKa+6ISKqbUzgEBERERGRRvLsAkz/+QSSzt0qt56PkxUWPhuEzs0a6SgyIqKGp0oJnJiYGPz88884e/YsLC0t0bVrVyxYsACtWrUqd70NGzZg1qxZuHLlClq0aIEFCxagf//+NQqciIjIULVys9V3CAYRAxEZLyEENh27gTm/nkZOgfarbgDg5S5NMD2yNaxl/G2YiKguVemv7O7duzFhwgR07NgRJSUleO+999C3b1+cOXMG1tbWGtfZv38/Ro4ciZiYGAwcOBBxcXEYOnQojh49isDAwFrZCSIiIkPC2Z+IyJhl3i/A+5tOIeFMRrn1GjtYYsEzQejWwllHkRERNWxVSuDEx8erPV+9ejVcXV1x5MgRdO/eXeM6S5YsQb9+/TBt2jQAwLx585CQkIClS5ciNja2mmETEREREVFt23L8Jmb/cgr38ovLrTe8gxdmDQyArYW5jiIjIqIaXeeYnZ0NAHByctJaJzk5GdHR0WrLIiIisHnz5ppsmoiIiGrB6tWr9R0CERmAu3lFmLX5FLadTC+3npudDPOHBaFna1cdRUZERKWqncBRKpWYMmUKnnjiiXJvhZLL5XBzc1Nb5ubmBrlcrnWdwsJCFBYWqp7n5ORUN0wiIiIiIipH/Ck5Zm4+idu5ReXWe7pdY8wZ1Ab2VrzqhohIH6qdwJkwYQJOnTqFvXv31mY8AB4Oljx37txab5eIiIiIiB7Kyi/CnF9PY3PKzXLrOdtI8dHQtugX6K6jyIiISBOT6qw0ceJEbN26Fbt27YKXl1e5dd3d3ZGRoT4AWkZGBtzdtX8AzJgxA9nZ2arHtWvXqhMmERERERFpkJiagT6f76kweTOgrQd2TOnO5A0RkQGo0hU4QghMmjQJmzZtQlJSEnx9fStcJywsDImJiZgyZYpqWUJCAsLCwrSuI5PJIJPJqhIaERERERFVIPtBMeZtPYONR66XW8/ByhzzhgRiULCnjiIjIqKKVCmBM2HCBMTFxeGXX36Bra2tahwbe3t7WFpaAgBGjRqFxo0bIyYmBgAwefJk9OjRA4sWLcKAAQOwdu1aHD58GCtWrKjlXSEiIiIiIm12n7+F6T+dQHp2Qbn1wv3d8PGwQLjaWugoMiIiqowqJXCWL18OAHjqqafUlq9atQqjR48GAKSlpcHE5N87s7p27Yq4uDjMnDkT7733Hlq0aIHNmzeXO/AxERERERHVjvyiEny0LRVxB9LKrWdnYYY5g9vg6XaNIZFIdBQdERFVVpVvoapIUlJSmWXPPfccnnvuuapsioiIiIiIaijlWhamrkvB5dt55dZ7qpUL5g8Lgrs9r7ohIjJU1Z6FioiIiIiIDFOJQolluy7hi50XoFBq/xHWRmaG2QMD8FwHL151Q0Rk4JjAISIiIiKqR67eycOUdSk4lpZVbr1ufs5Y8GwQGjtY6iYwIiKqESZwiIiIiIjqASEE1h++hrlbziC/SKG1npXUFO/198eLnX141Q0RkRExqbgKERER1VejR4+GRCKBRCKBubk5fH198c4776CgoPxZaojIsNzJLcTr3x3Buz+dLDd5087HAb+99SRe6tKEyRsiIiPDK3CIiIgauH79+mHVqlUoLi7GkSNHEBUVBYlEggULFug7NCKqhJRrWRj3v8O4db9Qax1TEwne6tUCE3o2h5kpf8MlIjJGTOAQERHVtl8nAZmp+o3B1R8Y/GWlqspkMri7uwMAvL29ER4ejoSEBCZwiIxA/Ck5pqw7hoJipdY6vs7W+HxECEK8HXQXGBER1TomcIiIiGpbZipw/ZC+o6iWU6dOYf/+/WjSpIm+QyGicggh8O3ey/jvb6kQ2ieZwgudfTBzgD+spOz2ExEZO/4lJyIiauC2bt0KGxsblJSUoLCwECYmJli6dKm+wyIiLUoUSszdcgbf/XVVa51G1lIseCYI4QFuOoyMiIjqEhM4REREDVzPnj2xfPly5OXl4fPPP4eZmRmeeeYZfYdFRBrkFZZg0o/HsPNsptY63Vu6YNFzwXCxlekwMiIiqmscwYyIiKiBs7a2hp+fH4KDg7Fy5UocOHAA3377rb7DIqLHyLML8FxscrnJm5e7NMHKqA5M3hAR1UO8AoeIiKi2ufrrO4Jqx2BiYoL33nsP0dHReOGFF2BpaVnLgRFRdZy5mYOxqw9BnlOgsVwiAd7v749XuvlyenAionqKCRwiIqLaVsnZnwzVc889h2nTpmHZsmV4++239R0OUYP354VbeOO7I8grUmgstzA3weIR7dAv0F3HkRERkS7xFioiIiJSY2ZmhokTJ+KTTz5BXl6evsMhatB+Py3HK6sPa03eONtIsfa1MCZviIgaAF6BQ0RE1ICtXr1a4/Lp06dj+vTpug2GiNT8evwmpq5LgUKpeZ5wP1cbrBrdEd5OVjqOjIiI9IEJHCIiIiIiA7P+8DW8+9MJCM25G4Q1a4TYl0Jhb2Wu28CIiEhvmMAhIiIiIjIg/0u+gtm/nNZaPqx9Y8wfFgSpGUdDICJqSJjAISIiIiIyELG7L2H+9rNay6PCmuCDQW1gYsKZpoiIGhomcIiIiIiI9EwIgcV/XMCSxAta67zeoxmm92vNacKJiBooJnCIiIhqidA2WEU901D2k0hXhBCI2X4WK/b8rbVOdJ+WmNTLj8kbIqIGjAkcIiKiGjI3fziIaH5+PiwtLfUcTd3Lz88H8O9+E1H1FSuU+ODX04g7kKa1zvv9/TGuezMdRkVERIaICRwiIqIaMjU1hYODAzIzMwEAVlZW9fJXciEE8vPzkZmZCQcHB5iamuo7JCKjdju3EBN+OIoDl+9qrTNvaCBe7tJEh1EREZGhYgKHiIioFri7uwOAKolTnzk4OKj2l4iq58T1LLz+3RGkZxdoLDeRAJ88G4xnQ710HBkRERkqJnCIiIhqgUQigYeHB1xdXVFcXKzvcOqMubm50V55s2fPHixcuBBHjhxBeno6Nm3ahKFDh6rVSU1Nxbvvvovdu3ejpKQEAQEB+Omnn+Dj4wMAKCgowH/+8x+sXbsWhYWFiIiIwFdffQU3NzdVG2lpaRg/fjx27doFGxsbREVFISYmBmZm/3a7kpKSEB0djdOnT8Pb2xszZ87E6NGj1WJZtmwZFi5cCLlcjuDgYHz55Zfo1KlTnR0f0p2NR67jvU0nUVSi1FhuZiLB4udDMDDIU8eRERGRIWMCh4iIqBaZmpoabYKjvsvLy0NwcDDGjh2LYcOGlSm/dOkSunXrhldeeQVz586FnZ0dTp8+DQsLC1WdqVOnYtu2bdiwYQPs7e0xceJEDBs2DPv27QMAKBQKDBgwAO7u7ti/fz/S09MxatQomJub4+OPPwYAXL58GQMGDMAbb7yBH374AYmJiXj11Vfh4eGBiIgIAMC6desQHR2N2NhYdO7cGYsXL0ZERATOnTsHV1dXHRwtqgvFCiU+2noGa5Kvaq0jMzPB0hfao0+Am9Y6RETUMEmEEUwlkZOTA3t7e2RnZ8POzk7f4RAREZEWxvKZLZFIylyB8/zzz8Pc3BzfffedxnWys7Ph4uKCuLg4PPvsswCAs2fPwt/fH8nJyejSpQu2b9+OgQMH4ubNm6qrcmJjY/Huu+/i1q1bkEqlePfdd7Ft2zacOnVKbdtZWVmIj48HAHTu3BkdO3bE0qVLAQBKpRLe3t6YNGkSpk+fXql9NJZz0VDcuv9wvJuDV7SPd9PYwRJfvxyKwMb2OoyMiIj0rbKf2SY6jImIiIjIICmVSmzbtg0tW7ZEREQEXF1d0blzZ2zevFlV58iRIyguLkZ4eLhqWevWreHj44Pk5GQAQHJyMtq2bat2S1VERARycnJw+vRpVZ1H2yitU9pGUVERjhw5olbHxMQE4eHhqjqaFBYWIicnR+1BhiHlWhYGfbm33ORN1+aNsGVSNyZviIhIqyoncPbs2YNBgwbB09MTEolErWOjSVJSEiQSSZmHXC6vbsxEREREtSozMxO5ubmYP38++vXrh99//x1PP/00hg0bht27dwMA5HI5pFIpHBwc1NZ1c3NT9Wvkcrla8qa0vLSsvDo5OTl48OABbt++DYVCobFOef2nmJgY2Nvbqx7e3t5VPxBU69YfuobhscmQ52gerBgAxj3pi/+N7QQna6kOIyMiImNT5TFwKrp/XJtz586pXQrE+7eJiIjIUCiVDweTHTJkCKZOnQoACAkJwf79+xEbG4sePXroM7xKmTFjBqKjo1XPc3JymMTRo6ISJT7cehrf/5WmtY6FuQkWPBOEISGNdRgZEREZqyoncCIjIxEZGVnlDbm6upb5xYqIiIjIEDg7O8PMzAwBAQFqy/39/bF3714AD6eKLyoqQlZWllqfJiMjQzWturu7Ow4ePKjWRkZGhqqs9N/SZY/WsbOzg6WlpWogbE11ypu+XSaTQSaTVWGvqa5k3i/Am98fxeGr97TW8XK0xIqXOyDAk+MTERFR5ehsDJyQkBB4eHigT58+qpkatOE93ERERKRLUqkUHTt2xLlz59SWnz9/Hk2aNAEAhIaGwtzcHImJiaryc+fOIS0tDWFhYQCAsLAwnDx5EpmZmao6CQkJsLOzUyWHwsLC1NoorVPahlQqRWhoqFodpVKJxMREVR0yXEfT7mHQl3vLTd482cIZWyZ2Y/KGiIiqpM6nEffw8EBsbCw6dOiAwsJCfPPNN3jqqadw4MABtG/fXuM6MTExmDt3bl2HRkRERA1Ibm4uLl68qHp++fJlpKSkwMnJCT4+Ppg2bRpGjBiB7t27o2fPnoiPj8eWLVuQlJQEALC3t8crr7yC6OhoODk5wc7ODpMmTUJYWBi6dOkCAOjbty8CAgLw8ssv45NPPoFcLsfMmTMxYcIE1dUxb7zxBpYuXYp33nkHY8eOxc6dO7F+/Xps27ZNFVt0dDSioqLQoUMHdOrUCYsXL0ZeXh7GjBmjuwNGVbb2YBpm/3IaRQql1jqvd2+GaRGtYGbKuUSIiKhqajSNuKYpOCujR48e8PHx0TpNZ2FhIQoLC1XPS+/h5jSYREREhs2Qp65OSkpCz549yyyPiorC6tWrAQArV65ETEwMrl+/jlatWmHu3LkYMmSIqm5BQQH+85//4Mcff0RhYSEiIiLw1Vdfqd3adPXqVYwfPx5JSUmwtrZGVFQU5s+fDzOzf383S0pKwtSpU3HmzBl4eXlh1qxZGD16tFpcS5cuxcKFCyGXyxESEoIvvvgCnTt3rvT+GvK5qG8KSxSYu+UM4g5oH+/G0twUC58LwsAgTx1GRkRExqCyn9l6SeBMmzYNe/fuLXcqzEexA0JERGQc+JltOHgudCMzpwBvfH8ER9OytNbxcbLCilGhaO3O80BERGVV9jO7zm+h0iQlJQUeHh762DQRERERUa04cvUu3vj+KG7dL9Rap3tLF3zxfAgcrDhFOBER1UyVEzgV3T8+Y8YM3LhxA//73/8AAIsXL4avry/atGmDgoICfPPNN9i5cyd+//332tsLIiIiIiId+uHAVcz59TSKFdovZn/zqeb4T99WMDWR6DAyIiKqr6qcwDl8+LDa/ePR0dEA/r1/PD09HWlp/97/W1RUhP/85z+4ceMGrKysEBQUhD/++EPjPehERERERIassESBOb+exo8Hr2mtYyU1xafPBaN/W15xTkREtadGY+DoCu/hJiIiMg78zDYcPBe1T579cLyblGtZWus0aWSFFS93QCt3W90FRkRERs2gx8AhIiIiIjImh67cxfjvj+J2rvbxbp5q5YIlI9rB3spch5EREVFDwQQOEREREZEWQgh8/9dVzN1yBiVK7ReuT+rlhynhLTneDRER1RkmcIiIiIiINChWKDFz0ymsO6x9vBtrqSkWDQ9Gv0COd0NERHWLCRwiIiIiosfkF5XgzR+OIuncLa11fJ2tseLlULRw43g3RERU95jAISIiIiJ6xN28IoxdfajcwYp7t3bFZyNCYG/J8W6IiEg3mMAhIiIiIvrH9Xv5GLXyIP6+lae1zlu9W2BK7xYw4Xg3RESkQ0zgEBEREREBOCvPQdTKg8jI0TzTlLXUFJ+PCEHfNu46joyIiIgJHCIiIiIiHLx8F6+sOYT7BSUay51tpFg1uhPaetnrODIiIqKHmMAhIiIiogZtx2k5Jv14DEUlSo3lPk5W+N/YTmjqbK3jyIiIiP7FBA4RERERNVhxB9Iwc/NJKIXm8gAPO6we2xGutha6DYyIiOgxTOAQERERUYMjhMDiPy5gSeIFrXW6Nm+Er18Oha0FZ5oiIiL9YwKHiIiIiBqUYoUS7/18EhuOXNdaZ0CQBz4bHgyZmakOIyMiItKOCRwiIiIiajByC0vw5g9Hsef8La11osKa4INBbThNOBERGRQmcIiIiIioQcjMKcCY1Ydw+maO1jrTIlrhzaeaQyJh8oaIiAwLEzhEREREVO9dzLyPqJWHcCPrgcZyUxMJYp5ui+EdvXUcGRERUeUwgUNERERE9dqhK3fx6prDyH5QrLHcSmqKr15sj6daueo4MiIiospjAoeIiIiI6q3fTqZjyroUFJUoNZY728iwekxHBDa213FkREREVcMEDhERERHVSyv3Xsa8bWcghObyZi7WWDOmE7ydrHQbGBERUTUwgUNERERE9YpSKTA//ixW7Plba50OTRzxTVQHOFhJdRgZERFR9TGBQ0RERET1RlGJEtM2HscvKTe11okMdMfnI0JgYW6qw8iIiIhqhgkcIiIiIqoX7hcUY/z3R7H34m2tdcY80RQzBwTA1ITThBMRkXFhAoeIiIiIjF7m/QKMXnkIZ9JztNaZOcAfrz7ZTIdRERER1R4mcIiIiIjIqP19KxejVh7E9XsPNJabm0qwaHgIBgd76jgyIiKi2sMEDhEREREZrWNp9zB29SHcyy/WWG4jM8OKl0PR1c9Zx5ERERHVLiZwiIiIiMgoJaZmYELcURQUKzWWu9rKsHpMJwR42uk4MiIiotrHBA4RERERGZ31h65hxqaTUCiFxvJmLtZYM6YTvJ2sdBwZERFR3TCp6gp79uzBoEGD4OnpCYlEgs2bN1e4TlJSEtq3bw+ZTAY/Pz+sXr26GqESERERUUMnhMCyXRfxzk8ntCZv2vk44Kc3ujJ5Q0RE9UqVEzh5eXkIDg7GsmXLKlX/8uXLGDBgAHr27ImUlBRMmTIFr776Knbs2FHlYImIiIio4VIqBeZuOYOFO85prRPu74a4V7vA0Vqqw8iIiIjqXpVvoYqMjERkZGSl68fGxsLX1xeLFi0CAPj7+2Pv3r34/PPPERERUdXNExEREVEDVFSixH82HMeW4ze11hnZyQfzhrSBmWmVf6MkIiIyeHU+Bk5ycjLCw8PVlkVERGDKlCla1yksLERhYaHqeU5OTl2FR0REREQGLrewBG98dwR7L97WWmdy7xaYEt4CEolEh5ERERHpTp3/PCGXy+Hm5qa2zM3NDTk5OXjw4IHGdWJiYmBvb696eHt713WYRERERGSAbucWYuSKv7QmbyQS4KOhgZjapyWTN0REVK8Z5PWlM2bMQHZ2tupx7do1fYdERERERDp27W4+nl2+HydvZGssl5qa4KsX2uOlLk10HBkREZHu1fktVO7u7sjIyFBblpGRATs7O1haWmpcRyaTQSaT1XVoRERERGSgzmfcx4vfHMCt+4Uay21lZlgxqgPCmjfScWRERET6UecJnLCwMPz2229qyxISEhAWFlbXmyYiIiIiI5RTUIxX1xzWmrxxsZVhzZhOCPC003FkRERE+lPlW6hyc3ORkpKClJQUAA+nCU9JSUFaWhqAh7c/jRo1SlX/jTfewN9//4133nkHZ8+exVdffYX169dj6tSptbMHRERERFRvCCEw4+eTSLubr7G8aSMr/Dy+K5M3RETU4FT5CpzDhw+jZ8+equfR0dEAgKioKKxevRrp6emqZA4A+Pr6Ytu2bZg6dSqWLFkCLy8vfPPNN5xCnIiIiIjKiDuYhm0n0jWWBXnZY+XojnC24a32RETU8EiEEELfQVQkJycH9vb2yM7Ohp0df20hIiIyVPzMNhzGeC5S03MwZNk+FJUoy5SFNnHEmrGdYCOr8xEAiIiIdKqyn9kGOQsVERERETUseYUlmBB3VGPyxtHKHEtfaMfkDRERNWhM4BARERGR3s3+5TT+vpWnsWzR8GB42GuevZSIiKihYAKHiIiIiPRq45Hr+OnodY1l4570Ra/WbjqOiIiIyPAwgUNEREREenMxMxezNp/SWBbs7YBpEa11HBEREZFhYgKHiIiIiPSioFiBiXFH8aBYUabM1sIMS0e2g9SM3VUiIiKACRwiIiJqIPbs2YNBgwbB09MTEokEmzdvVisfPXo0JBKJ2qNfv35qdY4ePYo+ffrAwcEBjRo1wmuvvYbc3Fy1Oo+3IZFIsHbtWrU6SUlJaN++PWQyGfz8/LB69eoy8S5btgxNmzaFhYUFOnfujIMHD9bKcTAk87aewVn5fY1lnzwTBG8nKx1HREREZLiYwCEiIqIGIS8vD8HBwVi2bJnWOv369UN6errq8eOPP6rKbt68ifDwcPj5+eHAgQOIj4/H6dOnMXr06DLtrFq1Sq2doUOHqsouX76MAQMGoGfPnkhJScGUKVPw6quvYseOHao669atQ3R0ND744AMcPXoUwcHBiIiIQGZmZq0cC0Ow9cRN/HAgTWPZy12aILKth44jIiIiMmyci5GIiIgahMjISERGRpZbRyaTwd3dXWPZ1q1bYW5ujmXLlsHE5OFvYLGxsQgKCsLFixfh5+enquvg4KC1ndjYWPj6+mLRokUAAH9/f+zduxeff/45IiIiAACfffYZxo0bhzFjxqjW2bZtG1auXInp06dXbccN0NU7eZjx00mNZf4ednh/gL+OIyIiIjJ8vAKHiIiI6B9JSUlwdXVFq1atMH78eNy5c0dVVlhYCKlUqkreAICl5cOprffu3avWzoQJE+Ds7IxOnTph5cqVEEKoypKTkxEeHq5WPyIiAsnJyQCAoqIiHDlyRK2OiYkJwsPDVXWMWWGJAhPjjuF+YUmZMiupKZa90A4W5qZ6iIyIiMiwMYFDREREhIe3T/3vf/9DYmIiFixYgN27dyMyMhIKxcMBdnv16gW5XI6FCxeiqKgI9+7dU10Nk56ermrnww8/xPr165GQkIBnnnkGb775Jr788ktVuVwuh5ub+rTYbm5uyMnJwYMHD3D79m0oFAqNdeRyudb4CwsLkZOTo/YwRAu2n8PJG9kay/77dCCaudjoOCIiIiLjwFuoiIiIiAA8//zzqv+3bdsWQUFBaN68OZKSktC7d2+0adMGa9asQXR0NGbMmAFTU1O89dZbcHNzU7sqZ9asWar/t2vXDnl5eVi4cCHeeuutOo0/JiYGc+fOrdNt1FTCmQys3HdZY9mzoV54up2XjiMiIiIyHrwCh4iIiEiDZs2awdnZGRcvXlQte+GFFyCXy3Hjxg3cuXMHc+bMwa1bt9CsWTOt7XTu3BnXr19HYWEhAMDd3R0ZGRlqdTIyMmBnZwdLS0s4OzvD1NRUYx1t4+oAwIwZM5Cdna16XLt2rTq7XWduZD3A2xuOayzzc7XBh0Pa6DgiIiIi48IEDhEREZEG169fx507d+DhUXY2JDc3N9jY2GDdunWwsLBAnz59tLaTkpICR0dHyGQyAEBYWBgSExPV6iQkJCAsLAwAIJVKERoaqlZHqVQiMTFRVUcTmUwGOzs7tYehKFYo8daPx5D9oLhMmczMBMteaA8rKS8MJyIiKg8/KYmIiKhByM3NVbua5vLly0hJSYGTkxOcnJwwd+5cPPPMM3B3d8elS5fwzjvvwM/PTzUzFAAsXboUXbt2hY2NDRISEjBt2jTMnz8fDg4OAIAtW7YgIyMDXbp0gYWFBRISEvDxxx/j7bffVrXxxhtvYOnSpXjnnXcwduxY7Ny5E+vXr8e2bdtUdaKjoxEVFYUOHTqgU6dOWLx4MfLy8lSzUhmbzxPO48jVexrL5g5ug1butjqOiIiIyPgwgUNEREQNwuHDh9GzZ0/V8+joaABAVFQUli9fjhMnTmDNmjXIysqCp6cn+vbti3nz5qmunAGAgwcP4oMPPkBubi5at26Nr7/+Gi+//LKqvHSa8alTp0IIAT8/P9WU4KV8fX2xbds2TJ06FUuWLIGXlxe++eYbtUTRiBEjcOvWLcyePRtyuRwhISGIj48vM7CxMdh9/ha+SrqksWxQsCdGdPTWcURERETGSSIendfSQOXk5MDe3h7Z2dkGdTkwERERqeNntuEwhHORmVOAyCV/4k5eUZmyJo2ssHVSN9hamOshMiIiIsNR2c9sjoFDRERERLVOoRSYvDZFY/JGavpw3Bsmb4iIiCqPCRwiIiIiqnVLd15E8t93NJa91781Ahvb6zgiIiIi48YEDhERERHVqr/+voMliec1lvUNcENU16a6DYiIiKgeYAKHiIiIiGrNndxCvPXjMSg1jLLY2MESC58NhkQi0X1gRERERo4JHCIiIiKqFUqlwH82HEfm/cIyZWYmEnz5QjvYW3HcGyIioupgAoeIiIiIasX//fk3ks7d0lj2dkQrtPdx1HFERERE9QcTOERERERUY0fT7mHhjnMay3q0dMFrTzbTcURERET1CxM4RERERFQj2fnFmBR3DCUaBr5xs5Phs+HBMDHhuDdEREQ1wQQOEREREVWbEALv/HQcN7IelCkzkQCLR7RDIxuZHiIjIiKqX5jAISIiIqJq+1/yVew4naGx7K3eLRDWvJGOIyIiIqqfqpXAWbZsGZo2bQoLCwt07twZBw8e1Fp39erVkEgkag8LC4tqB0xEREREhuHUjWz8d1uqxrIuzZwwqVcLHUdERERUf1U5gbNu3TpER0fjgw8+wNGjRxEcHIyIiAhkZmZqXcfOzg7p6emqx9WrV2sUNBERERHpV25hCSbGHUWRQlmmrJG1FEuebwdTjntDRERUa6qcwPnss88wbtw4jBkzBgEBAYiNjYWVlRVWrlypdR2JRAJ3d3fVw83NrUZBExEREZH+CCHw3s8nceVOvsbyRcOD4WbHK66JiIhqU5USOEVFRThy5AjCw8P/bcDEBOHh4UhOTta6Xm5uLpo0aQJvb28MGTIEp0+fLnc7hYWFyMnJUXsQERERkWFYd+gafj1+U2PZGz2a46lWrjqOiIiIqP6rUgLn9u3bUCgUZa6gcXNzg1wu17hOq1atsHLlSvzyyy/4/vvvoVQq0bVrV1y/fl3rdmJiYmBvb696eHt7VyVMIiIiIqojf/19B7N+OaWxrL2PA/7Tt6WOIyIiImoY6nwWqrCwMIwaNQohISHo0aMHfv75Z7i4uODrr7/Wus6MGTOQnZ2tely7dq2uwyQiIiKiCly6lYvXvzuCYoUoU2ZnYYYvRraDuSknOSUiIqoLZlWp7OzsDFNTU2RkqE8VmZGRAXd390q1YW5ujnbt2uHixYta68hkMshksqqERkRERER16E5uIcasOoTsB8Uayxc+FwwvRysdR0VERNRwVOknEqlUitDQUCQmJqqWKZVKJCYmIiwsrFJtKBQKnDx5Eh4eHlWLlIiIiIj0oqBYgde+O4K0u5oHLX6jR3NEtKncj3lERERUPVW6AgcAoqOjERUVhQ4dOqBTp05YvHgx8vLyMGbMGADAqFGj0LhxY8TExAAAPvzwQ3Tp0gV+fn7IysrCwoULcfXqVbz66qu1uydEREREVOuUSoG3NxzHkav3NJb3b+uOdyJa6TgqIiKihqfKCZwRI0bg1q1bmD17NuRyOUJCQhAfH68a2DgtLQ0mJv9e2HPv3j2MGzcOcrkcjo6OCA0Nxf79+xEQEFB7e0FEREREdeKzhPPYeiJdY1mItwM+Gx4CExOJjqMiIiJqeCRCiLKj0BmYnJwc2NvbIzs7G3Z2dvoOh4iIiLTgZ7bhqI1zsf7wNbyz8YTGMi9HS2ye8AScbThuIRERUU1U9jOb0wQQERERURn7L97Gez+f1Fhma2GG1WM6MnlDRESkQ0zgEBEREZGai5n38fr3R1CiLHuhtpmJBF+/FAo/V1s9REZERNRwMYFDRERERCpZ+UUYs/oQ7heUaCyPGdYWXf2cdRwVERERMYFDRERERAAAIR7OOHXt7gON5ZN6+eG5Dt46joqIiIgAJnCIiIiI6B/f7r2MP1IzNZYNDvZEdJ+WOo6IiIiISjGBQ0REREQ4lnYP87ef1VjWoYkjPnk2CBIJpwsnIiLSFyZwiIiIiBq47PxiTIw7pnHQYmcbGb56qT0szE31EBkRERGVYgKHiIiIqAETQuDtjcdxI6vsuDcSCbDk+RC42lroITIiIiJ6FBM4RERERA3Yqn1XkHAmQ2PZpF4t8ARnnCIiIjIITOAQERERNVDHr2UhZnuqxrIuzZwwuXcLHUdERERE2jCBQ0RERNQAZT8oxoS4oyhWaBr3Roovnm8HUxMOWkxERGQomMAhIiIiamCEEHhn43Fcv6d53JvPR4TA1Y7j3hARERkSJnCIiIiIGpg1+69gx2nN495M7OmHJ1u46DgiIiIiqggTOEREREQNyMnr2fjvb5rHvenky3FviIiIDBUTOEREREQNRF5hCd5ae0zjuDeNrKX4cmQ7mJmye0hERGSI+AlNRERE1EDM23oGl2/naSz7bEQI3DjuDRERkcFiAoeIiIioAYg/lY61h65pLJvQszl6tOS4N0RERIaMCRwiIiKiek6eXYDpP5/UWNbOxwFTw1vqOCIiIiKqKjN9B0BEREREdUepFPjPxhRk5ReXKbOWmmLJCI57Q0REZAz4aU1ERERUj/0v+Qr2XbyjsezDIYHwaWSl44iIiIioOpjAISIiIqrHliRe0Lh8YJAHhrVvrONoiIiIqLqYwCEiIiKqxzRNGe5pb4H/Dm0LiUSih4iIiIioOpjAISIiImpAJJKHU4bbW5nrOxQiIiKqAiZwiIiIiBqQ8T2ao0uzRvoOg4iIiKrIuGahWjMYsDSukImIiBqUByX6joDKEeRljymcMpyIiMgoVSsbsmzZMixcuBByuRzBwcH48ssv0alTJ631N2zYgFmzZuHKlSto0aIFFixYgP79+1d9wzePAjLeq01ERGSwCsuOt0KGwdLcFItHhEBqxguwiYiIjFGVP8HXrVuH6OhofPDBBzh69CiCg4MRERGBzMxMjfX379+PkSNH4pVXXsGxY8cwdOhQDB06FKdOnapx8ERERESVtWfPHgwaNAienp6QSCTYvHmzWvno0aMhkUjUHv369VOrc/ToUfTp0wcODg5o1KgRXnvtNeTm5qrVSUtLw4ABA2BlZQVXV1dMmzYNJSXqVyYlJSWhffv2kMlk8PPzw+rVq8vEu2zZMjRt2hQWFhbo3LkzDh48WKP9/2BQAJq52NSoDSIiItKfKidwPvvsM4wbNw5jxoxBQEAAYmNjYWVlhZUrV2qsv2TJEvTr1w/Tpk2Dv78/5s2bh/bt22Pp0qU1Dp6IiIiosvLy8hAcHIxly5ZprdOvXz+kp6erHj/++KOq7ObNmwgPD4efnx8OHDiA+Ph4nD59GqNHj1bVUSgUGDBgAIqKirB//36sWbMGq1evxuzZs1V1Ll++jAEDBqBnz55ISUnBlClT8Oqrr2LHjh2qOlX9wawiEW3cMKKjd7XWJSIiIsNQpVuoioqKcOTIEcyYMUO1zMTEBOHh4UhOTta4TnJyMqKjo9WWRURElPnVi4iIiKguRUZGIjIystw6MpkM7u7uGsu2bt0Kc3NzLFu2DCYmD38Di42NRVBQEC5evAg/Pz/8/vvvOHPmDP744w+4ubkhJCQE8+bNw7vvvos5c+ZAKpUiNjYWvr6+WLRoEQDA398fe/fuxeeff46IiAgA6j+YlW5n27ZtWLlyJaZPn16l/Xa1lWL+sCBOGU5ERGTkqpTAuX37NhQKBdzc3NSWu7m54ezZsxrXkcvlGuvL5XKt2yksLERhYaHqeU5OzsP/eLbnIMZERESG7EEJgN36jqLakpKS4OrqCkdHR/Tq1QsfffQRGjV6OGNTYWEhpFKpKnkDAJaWlgCAvXv3ws/PD8nJyWjbtq1a3yciIgLjx4/H6dOn0a5dOyQnJyM8PFxtuxEREZgyZQqA6v1gVhqfpv7Tf58OgqO1tJpHhIiIiAyFQWZDYmJiMHfu3LIFUb8Cdna6D4iIiIgqJycHeMte31FUS79+/TBs2DD4+vri0qVLeO+99xAZGYnk5GSYmpqiV69eiI6OxsKFCzF58mTk5eWproZJT08HoP2Hq9Ky8urk5OTgwYMHuHfvXpV/MAO095/CmnPKcCIiovqgSmPgODs7w9TUFBkZGWrLMzIytF5u7O7uXqX6ADBjxgxkZ2erHteuXatKmERERERV9vzzz2Pw4MFo27Ythg4diq1bt+LQoUNISkoCALRp0wZr1qzBokWLYGVlBXd3d/j6+sLNzU3tqhx9Yf+JiIiofqtSb0MqlSI0NBSJiYmqZUqlEomJiQgLC9O4TlhYmFp9AEhISNBaH3h4/7mdnZ3ag4iIiEiXmjVrBmdnZ1y8eFG17IUXXoBcLseNGzdw584dzJkzB7du3UKzZs0AaP/hqrSsvDp2dnawtLSs1g9mAPtPRERE9V2Vfy6Kjo7G//3f/2HNmjVITU3F+PHjkZeXpxpkb9SoUWr3bE+ePBnx8fFYtGgRzp49izlz5uDw4cOYOHFi7e0FERERUS27fv067ty5Aw8PjzJlbm5usLGxwbp162BhYYE+ffoAePjD1cmTJ9Vmi0pISICdnR0CAgJUdcr7cas6P5gRERFR/VflMXBGjBiBW7duYfbs2ZDL5QgJCUF8fLzqPu20tDS1y4i7du2KuLg4zJw5E++99x5atGiBzZs3IzAwsPb2goiIiKgCubm5alfTXL58GSkpKXBycoKTkxPmzp2LZ555Bu7u7rh06RLeeecd+Pn5qWaGAoClS5eia9eusLGxQUJCAqZNm4b58+fDwcEBANC3b18EBATg5ZdfxieffAK5XI6ZM2diwoQJkMlkAIA33ngDS5cuxTvvvIOxY8di586dWL9+PbZt26baTnR0NKKiotChQwd06tQJixcvVvvBjIiIiBoeiRBC6DuIiuTk5MDe3h7Z2dm8HJiIiMiAGfJndlJSEnr27FlmeVRUFJYvX46hQ4fi2LFjyMrKgqenJ/r27Yt58+apDSY8atQobNu2Dbm5uWjdujXefvttvPzyy2rtXb16FePHj0dSUhKsra0RFRWF+fPnw8zs39/NkpKSMHXqVJw5cwZeXl6YNWsWRo8erdbO0qVLsXDhQtUPZl988QU6d+5c6f015HNBRERE/6rsZzYTOERERFRr+JltOHguiIiIjENlP7P1P2UCERERERERERGViwkcIiIiIiIiIiIDxwQOEREREREREZGBq/IsVPpQOkxPTk6OniMhIiKi8pR+VhvBEHv1HvtPRERExqGy/SejSODcuXMHAODt7a3nSIiIiKgy7ty5A3t7e32H0aCx/0RERGRcKuo/GUUCx8nJCQCQlpamdWc6duyIQ4cOaW2jonJDaYPbMKxtGEKcOTk58Pb2xrVr17SOSG4M+2Eo2zCWOOvLNowlTr5Pa6+N7Oxs+Pj4qD67SX+Mpf/EbdS/OA1hGw3p7zK3Uf/ibCjb4Pv0X5XtPxlFAsfE5OFQPfb29lpPrKmpabnTbVVUbihtcBuGtQ1DiRMA7Ozsqv36r40468s2jCXO+rINY4mT79PabQP497Ob9MdY+k/cRv2L01C2ATSMv8vcRv2LsyFtA+D79FEV9Z/qTe9qwoQJNSo3lDa4DcPaRm20URvbqI31DWE/DGEbtdEGt6HbNoxlG7WxviHshy6OBRkOQ3hNcRu6baMhbaOmMdRGHNyGYW2jNtrgNmp3GzWNoTbiMJRtVIZEGMEogzk5ObC3t0d2dnalslZE9Qlf/0SGj+/Tf/FYGA6eC2rI+PonMnx8n/6rssfCKK7Akclk+OCDDyCTyfQdCpHO8fVPZPj4Pv0Xj4Xh4LmghoyvfyLDx/fpvyp7LIziChwiIiIiIiIioobMKK7AISIiIiIiIiJqyJjAISIiIiIiIiIycEzg6MGePXswaNAgeHp6QiKRYPPmzWXqpKamYvDgwbC3t4e1tTU6duyItLQ03QdbAzExMejYsSNsbW3h6uqKoUOH4ty5c2p1Xn/9dTRv3hyWlpZwcXHBkCFDcPbsWT1FXH3Lly9HUFCQagq8sLAwbN++XVVeUFCACRMmoFGjRrCxscEzzzyDjIwMPUZcM8uWLUPTpk1hYWGBzp074+DBg2rlycnJ6NWrF6ytrWFnZ4fu3bvjwYMHeoq2eip6n86ZMwetW7eGtbU1HB0dER4ejgMHDugn2BqozPu0vrx+K9rXK1euQCKRaHxs2LBBj5FXT0N4n1LDwv7Tv+pD/6mh9Z2AhvF3mf2nf9WH13BD6zsBhv8+ZQJHD/Ly8hAcHIxly5ZpLL906RK6deuG1q1bIykpCSdOnMCsWbNgYWGh40hrZvfu3ZgwYQL++usvJCQkoLi4GH379kVeXp6qTmhoKFatWoXU1FTs2LEDQgj07dsXCoVCj5FXnZeXF+bPn48jR47g8OHD6NWrF4YMGYLTp08DAKZOnYotW7Zgw4YN2L17N27evIlhw4bpOerqWbduHaKjo/HBBx/g6NGjCA4ORkREBDIzMwE8/KPWr18/9O3bFwcPHsShQ4cwceJEmJgY15+bit6nLVu2xNKlS3Hy5Ens3bsXTZs2Rd++fXHr1i0dR1ozlXmf1pfXb0X76u3tjfT0dLXH3LlzYWNjg8jISD1HXzUN5X1KDQv7T/Wr/9SQ+k5Aw/m7zP5T/eo/NaS+E2Ak71NhYJYuXSqaNGkiZDKZ6NSpkzhw4ICq7OLFi2Lo0KHC2dlZ2Nraiueee07I5XI9RltzAMSmTZvUlo0YMUK89NJL+gmoDmVmZgoAYvfu3VrrHD9+XAAQFy9e1GFkdcPR0VF88803IisrS5ibm4sNGzaoylJTUwUAkZycrMcIq6dTp05iwoQJqucKhUJ4enqKmJgYIYQQnTt3FjNnztRXeHVC0/v0cdnZ2QKA+OOPP3QTVB15/H1a316/j6rM36SQkBAxduxYHUZVOxri+7ShY/+J/af60H+qr30nIRrm32X2n+rXa1iI+t13EsI43qcGldItL+OVl5eHvn37QiKRYOfOndi3bx+KioowaNAgKJVKfYdea5RKJbZt24aWLVsiIiICrq6u6Ny5s8bLhI1NdnY2AMDJyUljeV5eHlatWgVfX194e3vrMrRapVAosHbtWuTl5SEsLAxHjhxBcXExwsPDVXVat24NHx8fJCcn6zHSqisqKsKRI0fU9sXExATh4eFITk5GZmYmDhw4AFdXV3Tt2hVubm7o0aMH9u7dq8eo615RURFWrFgBe3t7BAcH6zucGnn8fVqfXr+Pq+hv0pEjR5CSkoJXXnlFl2HVGN+nDQ/7T+w/GXv/qT73nQD+XdaG/SfjU1/7ToARvU/1mj56THkZrx07dggTExORnZ2tKs/KyhISiUQkJCToI9xagccy0+np6QKAsLKyEp999pk4duyYiImJERKJRCQlJekv0BpSKBRiwIAB4oknnihTtmzZMmFtbS0AiFatWhntr0cnTpwQ1tbWwtTUVNjb24tt27YJIYT44YcfhFQqLVO/Y8eO4p133tF1mDVy48YNAUDs379fbfm0adNEp06dRHJysgAgnJycxMqVK8XRo0fFlClThFQqFefPn9dT1DX3+Pu01JYtW4S1tbWQSCTC09NTHDx4UPfB1SJN79P69Pp9VHl/k0qNHz9e+Pv76zCq2tFQ36cNGftP7D8Za/+pIfSdhGi4f5fZf6o/r2Eh6nffSQjjeZ8azBU4FWW8CgsLIZFIIJPJVOUWFhYwMTGpV9np0l/DhgwZgqlTpyIkJATTp0/HwIEDERsbq+foqm/ChAk4deoU1q5dW6bsxRdfxLFjx7B79260bNkSw4cPR0FBgR6irJlWrVohJSUFBw4cwPjx4xEVFYUzZ87oOyydKn39vv766xgzZgzatWuHzz//HK1atcLKlSv1HF3t69mzJ1JSUrB//37069cPw4cPV90ja4zKe5/WNxXt64MHDxAXF2eUvyBVpKG9T+s79p8eYv/JOPtP7Ds91ND+LrP/ZJwact8JMJz3qcEkcG7fvg2FQgE3Nze15W5ubpDL5ejSpQusra3x7rvvIj8/H3l5eXj77behUCiQnp6up6hrn7OzM8zMzBAQEKC23N/f3+hmUSg1ceJEbN26Fbt27YKXl1eZcnt7e7Ro0QLdu3fHxo0bcfbsWWzatEkPkdaMVCqFn58fQkNDERMTg+DgYCxZsgTu7u4oKipCVlaWWv2MjAy4u7vrJ9hqcnZ2hqmpaZkR9Ev3xcPDAwDq1eu3PNbW1vDz80OXLl3w7bffwszMDN9++62+w6oWbe/T+vT6LVXR3yQA2LhxI/Lz8zFq1CgdR1dzfJ82LOw/PcT+k3H2nxpC3wng3+XHsf9kfK/h+t53AoznfWowCZyKuLi4YMOGDdiyZQtsbGxgb2+PrKwstG/f3uhGZy+PVCpFx44dy0xDd/78eTRp0kRPUVWPEAITJ07Epk2bsHPnTvj6+lZqHSEECgsLdRBh3VIqlSgsLERoaCjMzc2RmJioKjt37hzS0tIQFhamxwirTiqVIjQ0VG1flEolEhMTERYWhqZNm8LT07NevH6ro/ScG5OK3qf16fVblb9J3377LQYPHgwXFxcdRlg7+D6lR7H/ZHyv64bcf6qPfSeAf5crwv6T4WoofSfAiN6nOrtZqwKFhYXC1NS0zH2So0aNEoMHD1ZbduvWLXHv3j0hhBBubm7ik08+0VGUteP+/fvi2LFj4tixYwKA6l7tq1evCiGE+Pnnn4W5ublYsWKFuHDhgvjyyy+Fqamp+PPPP/UcedWMHz9e2Nvbi6SkJJGenq565OfnCyGEuHTpkvj444/F4cOHxdWrV8W+ffvEoEGDhJOTk8jIyNBz9FUzffp0sXv3bnH58mVx4sQJMX36dCGRSMTvv/8uhBDijTfeED4+PmLnzp3i8OHDIiwsTISFhek56upZu3atkMlkYvXq1eLMmTPitddeEw4ODqoZTT7//HNhZ2cnNmzYIC5cuCBmzpwpLCwsjO7e/PLep7m5uWLGjBkiOTlZXLlyRRw+fFiMGTNGyGQycerUKX2HXiUVvU+FqD+v38rsqxBCXLhwQUgkErF9+3Y9RVpzDeV9Suw/sf9kvP2nhtR3EqLh/F1m/6l+9Z8aUt9JCON4nxpMAkeIh4PwTZw4UfVcoVCIxo0bq6btelxiYqKQSCTi7NmzugqxVuzatUsAKPOIiopS1fn222+Fn5+fsLCwEMHBwWLz5s36C7iaNO0jALFq1SohxMOBoiIjI4Wrq6swNzcXXl5e4oUXXjC68ymEEGPHjhVNmjQRUqlUuLi4iN69e6s6IEII8eDBA/Hmm28KR0dHYWVlJZ5++mmRnp6ux4hr5ssvvxQ+Pj5CKpWKTp06ib/++kutPCYmRnh5eQkrKysRFhZmdJ1nIcp/nz548EA8/fTTwtPTU0ilUuHh4SEGDx5slIPwVfQ+FaL+vH4rs69CCDFjxgzh7e0tFAqFfgKtJQ3hfUoPsf8UparD/pPxaGh9JyEaxt9l9p9WqerUh9dwQ+s7CWH471OJEEL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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_simulation(\n",
" france[-60:],\n",
" dates[-60],\n",
" two=True,\n",
" safe=False,\n",
" title=\"Vraies données, derniers mois\",\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Bref, on part du principe que le modèle est plutôt fiable sur une courte période de temps, on tire plein de paramètres aléatoires et on regarde ce qui marche le mieux. Et pour comparer deux jeux de paramètres, il faut donc une fonction d'erreur qu'on prendra comme égal à la somme des erreurs de prédictions.\n",
"\n",
"Maintenant il faut faire attention à ce qu'on compare. La simulation calcule les catégories de population au temps *t*, mais pas toujours les séries cumulées. La série des personnes contaminées est **transitoire dans la simulation** et **cumulées dans les données récupérées**. La première étape consiste à transformer les données simulées pour qu'elles soient comparables aux données collectées."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"def simulation_cumulee(beta, mu, nu, S0, I0, R0, D0, days=14):\n",
" # ...\n",
" pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Maintenant la fonction d'erreur :"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"def error(data, simulation):\n",
" # ... à compléter\n",
" return 0"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q3 : optimisation\n",
"\n",
"Pour optimiser, on tire des paramètres de façon aléatoire dans un intervalle donné et on choisit ceux qui minimisent l'erreur."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"from tqdm import tqdm # pour avoir une barre de progression\n",
"\n",
"\n",
"def optimisation(\n",
" true_data,\n",
" i_range=(0, 0.2),\n",
" beta_range=(0, 0.5),\n",
" mu_range=(0.0, 0.2),\n",
" nu_range=(0.0, 0.2),\n",
" max_iter=1000,\n",
" error_fct=error,\n",
"):\n",
" N = sum(true_data[0, :])\n",
" rnd = numpy.random.rand(max_iter, 4)\n",
" for i, (a, b) in enumerate([i_range, beta_range, mu_range, nu_range]):\n",
" rnd[:, i] = rnd[:, i] # à compléter ...\n",
"\n",
" err_min = None\n",
" for it in tqdm(range(max_iter)):\n",
" i, beta, mu, nu = rnd[it, :]\n",
"\n",
" D0 = true_data[0, 3]\n",
" # dI0 =\n",
" # S0 =\n",
" # I0 =\n",
" # R0 =\n",
" sim = simulation_cumulee(\n",
" beta, mu, nu, S0, I0, R0, D0, days=true_data.shape[0] - 1\n",
" )\n",
" err = error_fct(true_data, sim)\n",
" if err_min is None or err < err_min:\n",
" # à compléter\n",
" pass\n",
" return best"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q4 : dessiner les résultats"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q5 : vérifier que cela marche sur des données synthétiques\n",
"\n",
"On simule, on vérifie que l'optimisation retrouve les paramètres de la simulation."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q6 : sur des données réelles"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Réponses"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q1 : propagation\n",
"\n",
"On l'applique aux données réelles."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from datetime import datetime, timedelta\n",
"from pandas import DataFrame\n",
"\n",
"\n",
"def simulation(beta, mu, nu, S0, I0, R0, D0, days=14):\n",
" res = numpy.empty((days + 1, 4), dtype=numpy.float64)\n",
" res[0, :] = [S0, I0, R0, D0]\n",
" N = sum(res[0, :])\n",
" for t in range(1, res.shape[0]):\n",
" dR = res[t - 1, 1] * mu\n",
" dD = res[t - 1, 1] * nu\n",
" dI = res[t - 1, 0] * res[t - 1, 1] / N * beta\n",
" res[t, 0] = res[t - 1, 0] - dI\n",
" res[t, 1] = res[t - 1, 1] + dI - dR - dD\n",
" res[t, 2] = res[t - 1, 2] + dR\n",
" res[t, 3] = res[t - 1, 3] + dD\n",
" return res\n",
"\n",
"\n",
"beta = 0.5\n",
"mu = 1.0 / 14\n",
"nu = 1.0 / 21\n",
"S0 = 9990\n",
"I0 = 10\n",
"R0 = 0\n",
"D0 = 0\n",
"\n",
"sim = simulation(beta, mu, nu, S0, I0, R0, D0, 60)\n",
"plot_simulation(sim, dates[60], safe=False, two=True, title=\"Simulation pour essayer\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q2 : série cumulées et fonction erreur\n",
"\n",
"\n",
"On doit d'abord calculer la simulation qui modifie $I_t$ en $J_t$ qui correspond à l'ensemble des personnes contaminées jusqu'à présent."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def simulation_cumulee(beta, mu, nu, S0, I0, R0, D0, days=14):\n",
" res = numpy.empty((days + 1, 4), dtype=numpy.float64)\n",
" cum = numpy.empty((days + 1, 1), dtype=numpy.float64)\n",
" res[0, :] = [S0, I0, R0, D0]\n",
" cum[0, 0] = I0\n",
" N = sum(res[0, :])\n",
" for t in range(1, res.shape[0]):\n",
" dR = res[t - 1, 1] * mu\n",
" dD = res[t - 1, 1] * nu\n",
" dI = res[t - 1, 0] * res[t - 1, 1] / N * beta\n",
" res[t, 0] = res[t - 1, 0] - dI\n",
" res[t, 1] = res[t - 1, 1] + dI - dR - dD\n",
" res[t, 2] = res[t - 1, 2] + dR\n",
" res[t, 3] = res[t - 1, 3] + dD\n",
" cum[t, 0] = cum[t - 1, 0] + dI\n",
" res[:, 1] = cum[:, 0]\n",
" return res\n",
"\n",
"\n",
"beta = 0.5\n",
"mu = 1.0 / 14\n",
"nu = 1.0 / 21\n",
"S0 = 9990\n",
"I0 = 10\n",
"R0 = 0\n",
"D0 = 0\n",
"\n",
"sim = simulation_cumulee(beta, mu, nu, S0, I0, R0, D0, 60)\n",
"plot_simulation(sim, dates[60], safe=False, two=True, title=\"Simulation pour essayer\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On compare avec les vraies données en gras."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"beta = 0.04\n",
"mu = 0.03\n",
"nu = 0.0001\n",
"S0, I0, R0, D0 = france[120, :]\n",
"sim = simulation_cumulee(beta, mu, nu, S0, I0, R0, D0, 120)\n",
"plot_simulation(\n",
" sim,\n",
" dates[120],\n",
" safe=False,\n",
" two=True,\n",
" true_data=france[120:240],\n",
" title=\"Simulation et vraies données (en gros)\",\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pas simple de choisir des paramètres pour approximer la courbe."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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piaamJhITj/wDvIiISCS1u71UNHZw4AihUXljBzUtrojXlBbn7DMdrftxWpxTu6WJiIjI0GUY0F5/hNCnV9dPe93A5xlqnPEQlwHxmb3uMyE+o+vefL3ZH01SZv6AmYeCIQVDIiIyjHR6fJQ3mqHR/ro2dle3sruqld3VLdS2RnZ3tZRYR5/OoklZCUzOTlCHkYiIiESGzwstFb1CnyN0/XjaB7vK4EQl9Qp2+gY8hwU/ztigThls5qFgSMGQiIiMEPVtbnZXtbC7upU91a3s6noc6S6jwtRY5hQmM6cgmTmFKUzNScRpt0a0BhERERlBOpugZhfU7IDanebj2p1mADSUp3nFpA7Y1UN8JsSmg2PgTVCOlYKhICgYEhGR0aCx3R3oLNpV1RIIjaojFBg57VZm5iUFgqI5hcnkJEVrGpqIiIj0MAxz567anVDTdesOgVorB7u6vixWSMiBpAJIyofkgq7HBZCQZQY/celgG9ydYBUMBUHBkIiIjGZN7R721LSwq6pnOtruqlYqmzvDfu2sxCjmFJgh0ZzCFGbmJRHjtIX9uiIiIjLI/H5zyld310/NTqjt6gbqbBrs6kz2aDPkSe4KfpIKez0ugMTcQQ99gqFgKAgKhkRERA7X3Olhd1Ure7qCol3VreypaqGiKXyBkc1qYWpOQp+waGxarLqKREREhiufB+qLzcCnTwi0G7wdg1tbTGrfLp/eoU9yIcSmwQj4GUTBUBAUDImIiASvpdPDnurWrmlpLYHpaeWN4fnhLjnW0Wf62ayCZBKjh/63cyIiIqOKu80Me7q7fro7gOqLwe+NfD0WKyTm9Qp6Dun6ScyDqPjI1zUIFAwFQcGQiIjIiWt1edlb3cr2g81sONDI+tJGdlW3EOqfMCwWmJARH+gomlOYzMTMBGzW4f+NnoiIyJDX0dg3+OleB6ipNPK1RCdDxhRInwgpY/pO9UrIBZs98jUNQQqGgqBgSEREJDxaOj1sKmtifWkD60sbWX+gkfo2d8ivE+e0MasguWsXtBRmFyaTHh8V8uuIiIiMKj4PVG2BsjXmrXwN1O2JfB0JOZAxGdInQ8akrvvJ5m5eI2CqV7gpGAqCgiEREZHIMAyD0vp2MyQqbWD9gUa2VTTj9Yf+x5DC1NiuoCiZuWNSmJ6bpK4iERGRozEMaCozw5/uIOjgBvCGfzMKwJz6lTzGDHwCIdBksxsoOikyNYxQCoaCoGBIRERk8HR6fGwpb+rqKDI7iw6GYYHrlFgHZ07M4JzJGZw5MYOMBHUUiYjIKOZqhYr1ULYaytea961V4b+uzQlpEyB9Ut8QKG0COKLDf/1RSMFQEBQMiYiIDC0HmzrY0DX1bH1pA5vKmnB5/SG9xsy8JM6ZnMHZkzKYXZCM3WYN6flFRESGDL/PXAeodzdQzXYwQvtvax/O+J7wJ3A/GVLGau2fCFMwFAQFQyIiIkObx+dnx8GWQEfR+tIG9tW1h+z8STEOzpiYzjmTzKAoM1HfWIqIyDDWWt2zJlDZaihfD+6W8FwrNq1n2lfvECgxT+v/DBEKhoKgYEhERGT4qW9zsyEQFDWy4UAjra7QbIc7LScx0E00d0wKDnUTiYjIUOXphMpNZgDUHQY1hmmHsPRJkH8y5M6BrOlmIBSXFp5rScgoGAqCgiEREZHhz+c32FvTGtgBbcOBRnZWtXCiP+EkRNk5Y2I6Z0/K4OzJGeQkxYSmYBERkWNlGFBf3KsbaA1Ubga/J/TXikk1Q6D8+eYtdy7EJIf+OhJ2CoaCoGBIRERkZGrp9LB2fwMrdtWwYlcNxTVtJ3zOKdkJgZBo/phUnHZ1E4mISJi426F0Vd8gqKM+9NexOiDnJMib3xUGzYOUIk0FGyEUDAVBwZCIiMjoUFrXzopd1azYVcPKPXV0eHwndL44p43TJ6Rz9uQMzpmcSV6yuolEROQE1e2F3Uth939g3wfgc4X+GsljujqBTjbDoOyZ2hFsBFMwFAQFQyIiIqOPy+tjdUkDy3eaQdHu6tYTPufEzHjOnmSGRCcXpRBlt4WgUhERGdE8nbD/g54wqL44tOd3JkDe3J5pYXnzIT4jtNeQIU3BUBAUDImIiEhZQ7s55WxnDSv31NLmPrFuolinjdPGpwWCooLU2BBVKiIiw17DfjME2r0USt4Db0dozmuxQua0ngAo/2RzwWirpj2PZgqGgqBgSERERHpze/2s2V8fCIp2VJ74Fr/j0uMCU84WFKUS7VA3kYjIqOF1Q+mHXV1BS6F2Z2jOG5/dszh0/smQMxui4kNzbhkxFAwFQcGQiIiI9OdgUwcrdpoLWH+wu5YWl/eEzhftsHLelEyumJPP2ZMytIC1iMhI1FRmhkB73obi5eA+wSnL9hjInQ1583qmhSXmaYFoGZCCoSAoGBIREZFgeXx+1u1vYHlXN9G2g80ndL6UWAeXnZTL5XPymFuYjEU/4IuIDE8+Dxz4uGuK2NtQvfUET2gxw5+JF8L4881dw2yOkJQqo4uCoSAoGBIREZHjVd3caYZEu2p4f1cNzZ3H3000Ji2Wy2fnccWcPMamx4WwShERCYuWSrMjaPd/YO+74DqxLwuISYUJi7rCoPMgLi00dcqopmAoCAqGREREJBS8Pj8bDjSyYlcNy3fWsLm86bjPNacwmSvn5HHpSbmkxjlDWKWIiBw3nxfK1/TsIFa56cTPmTvHDIImXGDuHmbVGnQSWgqGgqBgSERERMKhpsXFe13dRO/trqGx3XPM57BbLZwzOZMr5uRx/tRMLVotIhJprTWwd5kZBO1ZBp2NJ3a+6CRzatjEC2HC+RCfGZIyRY5GwVAQFAyJiIhIuPn8BhvLGnl7WxX/2lBBeeOxb02cEGXnkpk5XD4njwVFqVitWo9IRCTk/H6oWN+1VtB/zMec4K/L2TN7uoLyTwabPSSligRDwVAQFAyJiIhIJPn9Bqv31fPS+nJe33yQluNYlyg3KZrPzMnjyjl5TMxKCEOVIiKjiGHAgU9gw59hx2vQXndi53MmwPhzYeIF5ppBibmhqVPkOCgYCoKCIRERERksnR4f7+yo5qX15SzfWY3Hd+w/ks3IS+Ty2Xl8enYumQnRYahSRGSEaiqDjS/Ahuehfu+JnStzWs/C0QULwK714WRoUDAUBAVDIiIiMhQ0tLl5bfNBXlpXxrrSxmM+3mqBMyZmcMWcXBZPzybWqakKIiKHcbfDjtfN7qDi5Rz3NDFHHIw7ByYuMqeIJReEsEiR0FEwFAQFQyIiIjLU7K9r46X15by8vpx9de3HfHys08bi6dlcMSeP0yekY9N6RCIymvWeKrb1pePfVj59khkCTbwAxpwG9qjQ1ikSBgqGgqBgSERERIYqwzBYf6CRl9eX8+rGChqOY2ezjIQoPjMrl8vn5DE9NxGLRSGRiIwSJzpVzB4DRWf1rBWUWhT6GkXCTMFQEBQMiYiIyHDg9vp5b1cNL20oZ+m2Ktxe/zGfY1JWPJfPyePy2XnkJseEoUoRkUF2olPFopNhxpUw+VIYezo49N9KGd4UDAVBwZCIiIgMN82dHt7cXMmL68v4qLj+mI+3WGBBUSpXzsnnopnZJEY7wlCliEiEnOhUMYvV7Aia/UWYdDE4tJC/jBwKhoKgYEhERESGs/LGDv61oZyX1pWzu7r1mI932q1cMiObG88Yx8z8pDBUKCISJic6VSxjihkGnfQFSMgOfX0iQ0CwmYc11Bf2+Xx897vfpaioiJiYGMaPH8+PfvQjeudPhmHwve99j5ycHGJiYli0aBG7d+/uc576+nquvfZaEhMTSU5O5sYbb6S1te8PPJs2beLMM88kOjqagoICHnnkkVB/HBEREZEhKy85htvOmcB/7j6L1+48g5vOKCIjIfgFUd1ePy9vqOBTv/qAL/x6FUu3VeH3j9rvDEVkqHO3w6a/w/9dDo/NgHd+dGyhUHQynHwT3PwO3PYRnP51hUIiQMj3Mn344Yd56qmneO6555g+fTpr1qzhK1/5CklJSXzta18D4JFHHuHxxx/nueeeo6ioiO9+97ssXryYbdu2ER1ttu5de+21HDx4kKVLl+LxePjKV77CLbfcwvPPPw+YydeFF17IokWLePrpp9m8eTM33HADycnJ3HLLLaH+WCIiIiJDlsViYUZeEjPykrj/4il8uLeOl9aX8+aWSjo8vqDO8XFJPR+X1FOUHscNZxRx1dw8bXsvIoNPU8VEwi7kU8kuu+wysrKy+N3vfhd47aqrriImJoY//elPGIZBbm4u9957L9/4xjcAaGpqIisri2effZarr76a7du3M23aNFavXs38+fMBePPNN7nkkksoKysjNzeXp556iu985ztUVlbidDoBuP/++3n55ZfZsWNHULVqKpmIiIiMZG0uL//ZVslL6yv4YHcNx9IMlBzr4NoFhVy3cCyZifpFSkQiTFPFRE7YoE0lO+2001i2bBm7du0CYOPGjXzwwQdcfPHFAJSUlFBZWcmiRYsCxyQlJbFgwQJWrVoFwKpVq0hOTg6EQgCLFi3CarXy8ccfB8acddZZgVAIYPHixezcuZOGhoYj1uZyuWhubu5zExERERmp4qLsXDEnn/+74RQ+euB8Hrx0KtNzg/syrLHdwxPv7uX0h9/h3r9tZFuFfm4SkTA74aliSZoqJnIcQt4ffP/999Pc3MyUKVOw2Wz4fD5+8pOfcO211wJQWVkJQFZWVp/jsrKyAu9VVlaSmZnZt1C7ndTU1D5jioqKDjtH93spKSmH1bZkyRIeeuihEHxKERERkeElMzGam84cx01njmNXVQt/W32AF1YfoNXl7fc4j8/gn+vK+Oe6Ms6YkM6NZxZx9sQMrFZLhCoXkRFNU8VEBl3Ig6G//e1v/PnPf+b5559n+vTpbNiwgbvuuovc3Fyuu+66UF/umDzwwAPcc889gefNzc0UFBQMYkUiIiIikTcpK4EHL5vG1xdN5K+rD/CHlfsob+wY8LgP9tTywZ5aJmTGc9MZRVw+J49ohy0CFYvIiNNUDhv/cvxTxdInw5xrNVVMJARCHgx985vf5P777+fqq68GYObMmezfv58lS5Zw3XXXkZ1t/qWtqqoiJycncFxVVRWzZ88GIDs7m+rq6j7n9Xq91NfXB47Pzs6mqqqqz5ju591jDhUVFUVUVPA7dYiIiIiMZAnRDm46cxzXnzaWN7dW8pv3S9h4oHHA4/ZUt3L/i5v5n7d28l+njuFLC8eQHq+fsUQkCNXb4YNfwOa/gxHc4vgB0Ukw83Nmd1DuXLCoc1EkFEK+xlB7eztWa9/T2mw2/H4/AEVFRWRnZ7Ns2bLA+83NzXz88ccsXLgQgIULF9LY2MjatWsDY9555x38fj8LFiwIjHnvvffweDyBMUuXLmXy5MlHnEYmIiIiIkdmt1m57KRcXr7tNP7x1YVcND07qN+36trc/HLZbk772Tvc/89N7K5qCX+xIjI8HVgNf/kiPHkqbHoh+FDIYoWJF8LnnoV7d8Glj0LePIVCIiEU8l3Jrr/+et5++21+/etfM336dNavX88tt9zCDTfcwMMPPwyYW9r/7Gc/67Nd/aZNm/psV3/xxRdTVVXF008/Hdiufv78+YHt6puampg8eTIXXngh9913H1u2bOGGG27gscceC3q7eu1KJiIiInJk++va+MPKffxtzQHa3cF/q3/2pAxuPnMcp09Iw6Jf3ERGN8OAve/AB4/BvveP7djuqWIzPw+JOQOPF5HDBJt5hDwYamlp4bvf/S4vvfQS1dXV5Obmcs011/C9730vsIOYYRh8//vf55lnnqGxsZEzzjiDJ598kkmTJgXOU19fzx133MGrr76K1Wrlqquu4vHHHyc+Pj4wZtOmTdx+++2sXr2a9PR07rzzTu67776ga1UwJCIiItK/pnYPz39SyrMfllDV7Ar6uCnZCdx05jg+NSuHKLvWIRIZVfw+2P6KGQgd3Bj8cZoqJhJSgxYMDScKhkRERESC4/b6eWPzQX7zfjFbj2Hr+oyEKK5bOIZrF4whJc4ZxgpFZNB5XbDpr7Dyl1C3J7hjLFYYf74ZBk2+RLuKiYSQgqEgKBgSEREROTaGYfBRcT2/+6CYt7dXD3xAl2iHlc/Oy+eG04sYlxE/8AEiMny4WmHts7DqCWipCO4YezTM/TIsvANSxoS1PJHRSsFQEBQMiYiIiBy/vTWt/P6DEv65roxOjz+oYywWOH9KFjedWcSColStQyQynLXXw8dPw8e/hs7G4I6JSoJTboYFX4X4jLCWJzLaKRgKgoIhERERkRNX3+bm+Y/38+yH+6ltDX4dopl5Sdx0ZhGXzMzBYQv5ZrkiEi5NZWZ30NpnwdMe3DHxWXDqbTD/BojW714ikaBgKAgKhkRERERCx+X18cqGCn73QQk7KoPfuj47MZrrTx/LNacUkhTjCGOFInJCanfDB78w1xHye4I7JmUsnP51mPVFrR8kEmEKhoKgYEhEREQk9AzD4IM9tfz2/RJW7KoJ+rhYp40vnFzAreeMJzNBv0CKDBnl68wdxra/CgT562PWDDjjbph2Odjs4axORI5CwVAQFAyJiIiIhNeuqhZ+934JL60vx+0Lbh2iGIeNm84s4uazxpEYrQ4ikUFhGFDyHnzwcyheHvxxhQvhjHtg4gXabl5kkCkYCoKCIREREZHIqGlx8aeP9vPHj/ZT3+YO6pjkWAe3nzOBLy0cQ7TDFuYKRQQAvx92vm52CJWvDf64iYvNDqExC8NXm4gcEwVDQVAwJCIiIhJZnR4fL60v57fvF7O3pi2oY3KSorl70SSunJuHXYtUi4SHzwOb/gYrfwG1u4I7xmKFGVfB6XdB9oxwVicix0HBUBAUDImIiIgMDr/fYMWuGn77QTEr99QFdcyEzHi+ceFkFk/P0jb3IqHiboN1f4QP/x80lwV3jC0K5vwXnHYnpBaFtz4ROW4KhoKgYEhERERk8G2raObJ5Xt4bdPBoMbPLkjmvoumsHB8WpgrExnBOhrgk9/Ax09De3DhLM4EOPlGc9v5hKzw1iciJ0zBUBAUDImIiIgMHVvKm3jkrZ28F+ROZmdNyuBbiyczIy8pzJWJjCDNB+GjJ2DNH8DdGtwxcRlw6q0w/0aISQ5reSISOgqGgqBgSERERGTo+XBvLQ+/uZONBxqDGv+pWbnce8EkxqbHhbcwkeGsbi+s/CVs/Av4glsAnuRCOO1r5rQxR0x46xORkFMwFAQFQyIiIiJDk2EYvLW1iv95a0dQi1TbrRauPqWAr503kczE6AhUKDJMtFbDuz+Bdf8Hhj+4YzKmmjuMzbgSbI7w1iciYaNgKAgKhkRERESGNq/Pz4vrynns7V0cbOoccHyMw8YNZ4zlv88eT2K0fqGVUczTaU4Ze//nwU8Zyz8FzrzH3Hreqh0ARYY7BUNBUDAkIiIiMjx0enz8cdV+nli+h8Z2z4Djk2Md3HbOeL68cCzRDlsEKhQZIgwDtvwT3n4ImkqDO2bCIrNDaMzpoB3/REYMBUNBUDAkIiIiMrw0d3p4ZkUxv/ughA6Pb8DxOUnR3LVoIlfNzcduUweEjHAHPoG3vg1lqwcea7HCtM+YgVDOrPDXJiIRp2AoCAqGRERERIan6pZO/t+yPfzlk1K8/oF/nB2fEcc3F09m8fRsLOqIkJGmYT+8/QPY+uLAY21OmHUNnP51SBsf9tJEZPAoGAqCgiERERGR4W1/XRuP/mcXr2ysCGr8rIJk7ls8mdMmpIe5MpEI6GyGD34Oq54En2vg8dOvhEU/gJQxYS9NRAafgqEgKBgSERERGRm2VjTxP2/tZPnOmqDGnzkxnfsumsKMvKQwVyYSBj4vrP+judtYWxD/n8+bDxctgYJTwl+biAwZCoaCoGBIREREZGT5qLiOh9/cwfrSxqDGX3ZSDvdeOJmi9LjwFiYSKnuWwX8ehOptA49NKjA7hGZcpUWlRUYhBUNBUDAkIiIiMvIYhsHSbVX8z1s72V098DbdNquFL5xcwNfPn0hWYnQEKhQ5DtU7zEBoz9KBxzrjzW3nT70NHDHhr01EhiQFQ0FQMCQiIiIycvn8Bi+uK+OxpbuoaOoccHy0w8pXTi/iq2ePJynGEYEKRYLQVgvLl8CaP4AxwE58FivM+RKc9yDEZ0amPhEZshQMBUHBkIiIiMjI1+nx8aeP9vPEu3toaPcMOD4pxsGt54zn+tPGEu2wRaBCkSPwuuDjX8N7/wuupoHHjzsHLvwJZM8Ie2kiMjwoGAqCgiERERGR0aOl08Nv3ivmtx+U0O4eoPMCyEqM4q5Fk/jcvHzsNmsEKhQBDAO2/QuWfg8a9w88Pn2SGQhNvEDrCIlIHwqGgqBgSERERGT0qWlx8at3dvP8J6V4fAP/KDwtJ5EfXzGDuYUpEahORrXytfDWd6B01cBjY1Lh3G/DvOvBpqmPInI4BUNBUDAkIiIiMnqV1rXz86U7+dfGCoL5ifjqkwu476IppMQ5w1+cjC5NZbDsh7DprwOPtTpgwX/DWd+EmOSwlyYiw5eCoSAoGBIRERGRbRXN/O9/dvLOjuoBx6bEOrjvoil8fn4BVqum7cgJcrXCyl/Ch/8PvB0Dj5/6abjgIUgdF/7aRGTYUzAUBAVDIiIiItLtk5J6Hn5zB2v3Nww4dk5hMj++fAbTc5MiUJmMOH4fbHge3vkRtFYNPD53Diz+KYw5Lfy1iciIoWAoCAqGRERERKQ3wzBYtr2aJf/ezt6atn7HWi3w5YVjuefCSSRGa40XCVLxCnMdoarNA49NyIVF34eZnwerFkAXkWOjYCgICoZERERE5EjcXj+/+6CEx5ftpsPT/w5mGQlRPHjpVD49KxeLdoWSo6ndA0u/CzvfGHisIxbOuBsW3gHO2PDXJiIjkoKhICgYEhEREZH+lDd28MNXt/LW1oGn+ywcl8aPLp/OhMyECFQmw0Z7Pax4BFb/BvzeAQZbYPa1cN6DkJgTkfJEZORSMBQEBUMiIiIiEox3d1Tz/Ve2Ulrf3u84h83CjWeM42vnTyDWaY9QdTIked2w+rew4mHobBx4/NgzYfFPIGdW2EsTkdFBwVAQgvlD8vv9uN3uCFcWeU6nE6vmLYuIiIgcVafHx5PL9/L08r24ff5+x+Ylx/C9T03jwmlZml42Gu1eCv++D+r3Djw2dTxc+COYfAno/ysiEkIKhoIw0B+S2+2mpKQEv7//f/hHAqvVSlFREU6nc7BLERERERnSSmrb+P4rW3lvV82AY8+dnMFDn55BYZrWiRkVWqvhzfthyz8HHhudDOfcD/NvBLt+BheR0FMwFIT+/pAMw6C0tBSPx0Nubu6I7qbx+/1UVFTgcDgoLCzUt1oiIiIiAzAMg39vqeSHr26jsrmz37FRdiu3nzuBW84aR7TDFqEKJaIMA9b/Ef7zIHQ29T/WaodTboGzvgmxqZGpT0RGJQVDQejvD8nj8bBnzx5yc3NJSkoapAojp6mpiYqKCiZMmIDDoe1WRURERILR5vLy+LLd/O6DErz+/n+sHpsWy0OfmcHZkzIiVJ1ERO0eeO0u2Pf+wGMnXwoX/BDSJ4S9LBGRYIOhkdsGc4J8PnNb0tEytar7c3Z/bhEREREZWFyUnQcumcrrXzuTU8b23/2xr66d637/Cbf9eS0HmzoiVKGEjdcNK/4Hnjpt4FAoeyZ8+RW45nmFQiIy5CgYGsBomVY1Wj6niIiISDhMzk7gr/99Kj///CzS4/v/YvGNzZWc/+gKnnlvL54BFrGWIerAJ/Drs+DdH4PPdfRx0Ulw2S/glhUw7uyIlSciciwUDImIiIiIhIDFYuHKufksu/ccvrxwTL8bTLW7ffz0jR1c+vj7fFJSH7ki5cR0NsPr34DfXQg12/sfO/0KuH01zP8KWLW2lIgMXQqGRERERERCKCnGwQ8/M4NXbj+DWfn9r1W5q6qVz/96Fff8bQM1Lf10nsjg2/4aPLEAVv8G6Gc9qcR8uOYF+NyzkJAVqepERI6bgiERERERkTCYmZ/Ei7edzk+umEFSTP+be7y4rpzzHl3OH1ftwzfAItYSYc0V8MK18NdroaWin4EWWHAr3P4RTL44YuWJiJwoBUMjUE1NDbfeeiuFhYVERUWRnZ3N4sWLWbly5WCXJiIiIjKq2KwWrl0whnfuPZvPzcvvd2xLp5fv/msrlz+xko0HGiNToByd3w+rf2t2Ce14rf+xWTPgpmVw8c8gKiEy9YmIhIh9sAsYDu7/5yZ2VrUMag2TsxL42VUnBTX2qquuwu1289xzzzFu3DiqqqpYtmwZdXV1Ya5SRERERI4kLT6K//ncLD5/cgHffXkLOyqP/rPl5vImLn9yJV88pZBvLZ5CUmz/3UYSBtXb4dWvw4GP+x9nj4Zz7oeFd4BN/zuJyPCkYCgIO6taWF/aONhlBKWxsZH333+f5cuXc/bZ5s4HY8aM4ZRTThnkykRERETk5LGpvHrnGTz34T4eW7qLNrfviOMMA/78cSlvbqnk/ouncNXcfKxW7SIbdp5OeP9R+OAx8Hv6H1t0Nlz2GKSNj0xtIiJhoqlkI0x8fDzx8fG8/PLLuFxawFBERERkqHHYrNx05jiW3XsOl52U0+/YujY33/zHJr7wzCp2VDZHqMJRat8H8PQZ8N4j/YdCMalw+dPw5X8pFBKRESEswVB5eTn/9V//RVpaGjExMcycOZM1a9YE3jcMg+9973vk5OQQExPDokWL2L17d59z1NfXc+2115KYmEhycjI33ngjra2tfcZs2rSJM888k+joaAoKCnjkkUfC8XGGFbvdzrPPPstzzz1HcnIyp59+Ot/+9rfZtGnTYJcmIiIiIr1kJ0Xzqy/O5U83LmBcely/Y1fva+DSxz/gx69to9XljVCFo0RHA7xyJzx7KdTt7n/sSV+AO1bD7GvAog4uERkZQh4MNTQ0cPrpp+NwOPj3v//Ntm3bePTRR0lJSQmMeeSRR3j88cd5+umn+fjjj4mLi2Px4sV0dnYGxlx77bVs3bqVpUuX8tprr/Hee+9xyy23BN5vbm7mwgsvZMyYMaxdu5b/+Z//4Qc/+AHPPPNMqD/SsHPVVVdRUVHBK6+8wkUXXcTy5cuZO3cuzz777GCXJiIiIiKHOGNiOv++60y+ceEkouxH//Hc5zf47QclLH7sPVbsqolghSOUYcCWF+FXp8C6/+t/bPIY+K8X4cpnIC49MvWJiESIxTCMkO6Hef/997Ny5Uref//9I75vGAa5ubnce++9fOMb3wCgqamJrKwsnn32Wa6++mq2b9/OtGnTWL16NfPnzwfgzTff5JJLLqGsrIzc3FyeeuopvvOd71BZWYnT6Qxc++WXX2bHjh1B1drc3ExSUhJNTU0kJib2ea+zs5OSkhKKior4weu7htXi00dy0003sXTpUvbv33/E93t/3ujo6OO+joiIiIgcvwP17Tz06lbe3l494NjPzcvnwUunaXHq49F4AF6/F3a/1f84iw0W3m4uMO3sv6tLRGSo6S/z6C3ki0+/8sorLF68mM997nOsWLGCvLw8brvtNm6++WYASkpKqKysZNGiRYFjkpKSWLBgAatWreLqq69m1apVJCcnB0IhgEWLFmG1Wvn444+54oorWLVqFWeddVYgFAJYvHgxDz/8MA0NDX06lLq5XK4+6+40Nwc3T/tEApmhYtq0abz88suDXYaIiIiI9KMgNZbfXncyS7dV8YNXtlLe2HHUsX9fW8aKXTX85IqZXDAtK4JVDmN+H3zyDCz7EXja+h+bMxs+/TjkzIpIaSIigyXkU8mKi4t56qmnmDhxIm+99Ra33norX/va13juuecAqKysBCArq+8/XllZWYH3KisryczM7PO+3W4nNTW1z5gjnaP3NQ61ZMkSkpKSAreCgoIT/LRDT11dHeeddx5/+tOf2LRpEyUlJfz973/nkUce4TOf+cxglyciIiIiQbhgWhZv33M2t587Hoft6GvZVLe4uPn/1vD1F9ZT3+aOYIXDUOVm+O0iePP+/kMhRyws/inctEyhkIiMCiHvGPL7/cyfP5+f/vSnAMyZM4ctW7bw9NNPc91114X6csfkgQce4J577gk8b25uHnHhUHx8PAsWLOCxxx5j7969eDweCgoKuPnmm/n2t7892OWJiIiISJBinDa+uXgKV8zJ58GXN/NRcf1Rx/5rQwUf7K7lh5+ZwSUzs7FoYeQe7nZY8TB8+P/A8PU/dsIFcOmjkDImMrWJiAwBIQ+GcnJymDZtWp/Xpk6dyj//+U8AsrOzAaiqqiInp2d7zqqqKmbPnh0YU13dd1611+ulvr4+cHx2djZVVVV9xnQ/7x5zqKioKKKioo7zkw0PUVFRLFmyhCVLlgx2KSIiIiISAhMy43n+plP5y+pSlryx46i7ktW1ubn9+XVcND2bH14+ncwErRvJ3nfgtbuhYV//4+Iy4KKfwYyrtNuYiIw6IZ9Kdvrpp7Nz584+r+3atYsxY8zUvaioiOzsbJYtWxZ4v7m5mY8//piFCxcCsHDhQhobG1m7dm1gzDvvvIPf72fBggWBMe+99x4ejycwZunSpUyePPmI6wuJiIiIiAxXVquFaxeM4a27z+KsSRn9jn1zayUX/Pw9XlxXRoj3mRk+2urgxf+GP14xcCg057/g9k9g5mcVConIqBTyYOjuu+/mo48+4qc//Sl79uzh+eef55lnnuH2228HwGKxcNddd/HjH/+YV155hc2bN/PlL3+Z3NxcLr/8csDsMLrooou4+eab+eSTT1i5ciV33HEHV199Nbm5uQB88YtfxOl0cuONN7J161b++te/8stf/rLPVDERERERkZEkLzmG575yMv/7uVkkRh+9+b+pw8M9f9vIDc+u5mDT0RewHnEMAzb+FZ44GTa90P/Y1PFw3avwmScgNjUy9YmIDEEh364e4LXXXuOBBx5g9+7dFBUVcc899wR2JQNzy/rvf//7PPPMMzQ2NnLGGWfw5JNPMmnSpMCY+vp67rjjDl599VWsVitXXXUVjz/+OPHx8YExmzZt4vbbb2f16tWkp6dz5513ct999wVdZ7Db1Y+G7dtH2+cVERERGe6qmzv5zstbWLqtqt9xCVF2vnPpVL5wcsHIXnuovsScNlb8bv/jrHY442448xvg0M+9IjJyBbtdfViCoeFCwVCP0fZ5RUREREYCwzB4bdNBvv/K1gF3JTt9Qho/u/IkClJjI1RdhPh9sOoJePen4B2gOyr/ZPjU45A1rf9xIiIjQLDBUMinkomIiIiISGRYLBY+NSuXpXefxWUn5fQ7duWeOhb/4j2e+3Affv8I+W64Zhf8fjEs/W7/oZAzAS75X7jhLYVCIiKHUDAkIiIiIjLMpcVH8asvzuXp/5pHevzRd+Ftd/v4/itb+cIzqyipbYtghSHm98HKX8LTZ0DZ6v7HTr4Ubv8YTrkZrLbI1CciMowoGBIRERERGSEumpHN2/ecxVVz8/sdt3pfAxf94j1+814xvuHWPRToEvoe+FxHHxefDZ//I1zzPCTlRa4+EZFhRsGQiIiIiMgIkhzr5NHPz+IPXzmZnKSjrx3p8vr5yRvbufKpD9lV1RLBCo+T3wcrHw+uS2j+jXDHJzDt05GpTURkGFMwJCIiIiIyAp07OZO37j6La04p7HfcxgONXPb4B/zqnd14fP4IVXeManfD7y8y1xLqr0sodRx85d9w2c8hOily9YmIDGMKhkRERERERqjEaAdLrpzJn29aQH5KzFHHuX1+/vc/u/jMr1aytaIpghUOwO+DD/9fV5fQJ/0MtMCCW+GrK2HMaRErT0RkJFAwNMJcf/31XH755YNdhoiIiIgMIadPSOetu87i+tPGYrEcfdy2g8185lcrefQ/O3F5fZEr8Ei6u4T+8yB4O48+LqUIvvIGXPwzcMZGrj4RkRHCPtgFDAuv3AnV2we3hsyp8On/N7g1iIiIiMiwFRdl5wefns6lJ+Vw3z82UXyUXcm8foP/984e3tpaySOfncXsguTIFur3wUdPwjs/7j8QwgILvgrnf0+BkIjICVAwFIzq7QMvcCciIiIiMgycPDaVN75+Jo8t3cVv3i/maJuS7apq5conV3LzmeO4+4JJRDsisNV77W741+1w4OP+x6UUweVPatqYiEgIaCqZiIiIiMgoE+2w8cAlU3nxttOZlBV/1HF+A379XjEX//J9Vu+rD19BvdcSGigUWvBVuFVrCYmIhIqCIRERERGRUWp2QTKv3nkGXztvAnbr0RcfKqlt4/O/XsUPXtlKm8sb2iJq98AfLg5uLaHr34CLHwZnXGhrEBEZxRQMiYiIiIiMYlF2G/dcOJl/3XE603MTjzrOMODZD/ex+BfvsXJP7Ylf2O+DD38FT58efJfQ2NNP/LoiItKH1hgKRubUwa5gaNQgIiIiIiPW9NwkXr79dH69Yi+PL9uD2+c/4riyhg6u/e3HXHNKIQ9cMoXEaMexX6x2T9daQh/1Py5lLHzmSQVCIiJhpGAoGNoNTERERERGAYfNyh3nTeTC6dl88x+b2Hig8ahj//JJKe/uqGbJlTM5d0pmcBfw++Djp2HZDwfYcYxeO45p2piISDhpKpmIiIiIiPQxKSuBF289je9cMpUo+9F/Zahs7uQrz67mG3/fSFOHp/+T1u2FP1wCb317gLWExmotIRGRCFIwJCIiIiIih7FZLdx81jjevOssThmb2u/Yf6wtY/Fj7/HuzurD3/T7YNUT8NRpA08dO+W/4dYPNXVMRCSCLIZhGINdxGBpbm4mKSmJpqYmEhP7LrTX2dlJSUkJRUVFREdHD1KFkTPaPq+IiIiIBM/vN/jjR/t5+M0dtLt9/Y793Lx8HrxsGkkxDrNL6OXbglxL6AkYe0boihYRGeX6yzx60xpDIiIiIiLSL6vVwnWnjeW8KZnc/+ImVu6pO+rYv68t44Nd1fzfjHVM3PwYeDv6P/kpt8CiH2jamIjIIFEwJCIiIiIiQSlIjeVPNy7ghdUH+Mnr22l1eQ8bM8ZSyf+4fs3E9Tv7P5m6hEREhgStMSQiIiIiIkGzWCxcc0ohb919FmdOTO95HT9fsf2bN533c4p1gFDolFu61hJSKCQiMtjUMSQiIiIiIscsLzmG/7vhFF5YfYD/e/1dHjKeGDAQ8ieNwXr5E1B0ZoSqFBGRgahjSEREREREjovFMLjG/zqvO+4bMBR61nshizp+ynL35AhVJyIiwVDHkIiIiIiIHLu6vfCvO6D0w36/bS71Z/At73/zkX8aNMP1f1jN5+ebO5clRjsiVq6IiByZOoZERERERCR4fj989BQ8dTqUftjv0Oe8F3CR+2EzFOrlb2vKWPzYe6zYVRPOSkVEJAgKhkREREREJDi1u+EPF8Ob9/e7Db2RPIa3T/kdj1hvop3oI4452NTJdb//hPv+sYnmTk+4KhYRkQEoGBIRERERkf75vLDyl/D0GXDgo/7Hnnwzlls/ZNEln+Wtu8/ijAnp/Q7/65oD6h4SERlECoZGmOuvvx6LxYLFYsHhcFBUVMS3vvUtOjs7B7s0ERERERmOqrbB7y6Apd8Dbz8/UyYXwnWvwqX/C1HxAOSnxPLHG0/hJ1fMIM5pO+qh6h4SERk8CoZGoIsuuoiDBw9SXFzMY489xq9//Wu+//3vD3ZZIiIiIjKc+Dyw4hH49VlQsa7/sSffBLeugqKzDnvLYrFw7YIx6h4SERmitCtZEH7w4Q/Y3bh7UGuYmDyRH5z2g6DGRkVFkZ2dDUBBQQGLFi1i6dKlPPzww2GsUERERERGjIoN5o5jVZv7H5cyFj79/44YCB2qu3vo+U9K+enr22lz+444rrt76OqTC/j2pVO1c5mISJgpGArC7sbdbKrZNNhlHJctW7bw4YcfMmbMmMEuRURERESGOq/L7BL64DEwjhzcmCyw4Ktw/nfBGRf06bu7h86amMH9L25i5Z66o459YfUBVuyq4eGrTuKsSRnH8CFERORYKBgagV577TXi4+Pxer24XC6sViu/+tWvBrssERERERnKytbAy7dB7c7+x6VNgM88AYWnHvelClJj+dONC4LqHvpyV/fQdy6dSoK6h0REQk7B0Ah07rnn8tRTT9HW1sZjjz2G3W7nqquuGuyyRERERGQocrfDuz+Bj54Ew3/0cRYrnPY1OOd+cMSc8GWPtXvovV01/EzdQyIiIafFp0eguLg4JkyYwKxZs/j973/Pxx9/zO9+97vBLktEREREhpp9K+Hp02HVr/oPhTKnwU1vwwUPhSQU6q27e+jHl/e/c1lFV/fQ/f/cRIt2LhMRCRl1DAVhYvLEwS7huGuwWq18+9vf5p577uGLX/wiMTGh/YdcRERERIYhVyu8/QNY/Zv+x1ntcOY34Mx7we4MWzkWi4X/OnUMZ0/K4L5/buLDveoeEhGJFAVDQQh2N7Ch6nOf+xzf/OY3eeKJJ/jGN74x2OWIiIiIyGDa+y688jVoKu1/XPZJcPmTkD0zMnXR0z30509KWfLGdtqPsvZQd/fQNacU8O1LtPaQiMiJ0FSyUcBut3PHHXfwyCOP0NbWNtjliIiIiMhg6GyCV+6EP17efyhkc8L534Ob34loKNTNarXwpVPH8NZdZ3Ha+LR+x/7lkwNc9Iv3eX93TYSqExEZeSyGYRiDXcRgaW5uJikpiaamJhITE/u819nZSUlJCUVFRURHRw9ShZEz2j6viIiIyKiy6y149S5oqeh/XP7J5o5jGZMjUtZA/H5jwO6hbtecUsi3L5mi7iERkS79ZR69qWNIRERERGSkaq+HF2+B5z/ffyhkj4HFP4Ub3hoyoRD07R5aOG6g7qFSdQ+JiBwHBUMiIiIiIiPRtn/BE6fApr/2P27MGXDrSlh4O1iPvivYYCpIjeXPNy3gR5fPILafncvKGzv40u8+4d6/baS+zR3BCkVEhi8FQyIiIiIiI0lrNfzty+atrZ/uGUccXPK/cN2rkDY+cvUdp2PpHvrnujIW/XwFL60vYxSvnCEiEhQFQyIiIiIiI4FhwKa/wxMLzG6h/ow7F25bBafcDNbh9StBoHvoM9P77R6qb3Nz91838uXff0JpXXsEKxQRGV6G178CIiIiIiJyuOYK+Ms18OJN0FF/9HFRSfDpX8GXXoKUMZGrL8SsVgtfWjiWt+46i1PHpfY79v3dtVz4ixX8esVevD5/hCoUERk+FAyJiIiIiAxXhgHr/ghPnAq7/t3/2EkXwe0fwdwvgcUSmfrCrCA1ludvOpUffWY68VH2o47r9PhZ8u8dfPpXK9lU1hi5AkVEhgEFQyIiIiIiw1FjKfzxCnjlDnA1HX1cTApc+Ru45gVIzI1cfRHS3T209J6zuGBaVr9jtx1s5vInVvKj17bR5vJGqEIRkaFNwZCIiIiIyHDi98Pq38KTC6H43f7HTvsM3P4JnPT5EdMldDQ5STH85svzefq/5pKZEHXUcX4DfvdBCRc+9h7v7qyOYIUiIkNT2IOhn/3sZ1gsFu66667Aa52dndx+++2kpaURHx/PVVddRVVVVZ/jSktLufTSS4mNjSUzM5NvfvObeL19U/3ly5czd+5coqKimDBhAs8++2y4P46IiIiIyOCp2wvPfQpevxfcrUcfF5cBn3sOPv9/EJ8ZufqGgItm5PD2vWfzX6cW9juuvLGDr/xhNXf+ZT01La4IVSciMvSENRhavXo1v/71rznppJP6vH733Xfz6quv8ve//50VK1ZQUVHBlVdeGXjf5/Nx6aWX4na7+fDDD3nuued49tln+d73vhcYU1JSwqWXXsq5557Lhg0buOuuu7jpppt46623wvmRREREREQiz++DVU/AU6fD/g/6H3vSF8wuoemXR6S0oSgx2sGPL5/JP766kAmZ8f2OfXVjBYt+voK/rT6gre1FZFQKWzDU2trKtddey29+8xtSUlICrzc1NfG73/2On//855x33nnMmzePP/zhD3z44Yd89NFHAPznP/9h27Zt/OlPf2L27NlcfPHF/OhHP+KJJ57A7XYD8PTTT1NUVMSjjz7K1KlTueOOO/jsZz/LY489Fq6PNCxcf/31WCwWLBYLDoeDrKwsLrjgAn7/+9/j92sXBhEREZFhp3Iz/H4xvPVt8HYcfVxCDlzzV7jyGYjtf6eu0WL+2FRe/9oZ3HPBJJy2o//q09Th4Vv/3MQ1v/mI4pp+OrFEREagsAVDt99+O5deeimLFi3q8/ratWvxeDx9Xp8yZQqFhYWsWrUKgFWrVjFz5kyysnoWj1u8eDHNzc1s3bo1MObQcy9evDhwjiNxuVw0Nzf3uY1EF110EQcPHmTfvn38+9//5txzz+XrX/86l1122WHT8URERERkiOpshjcfgF+fDWWr+x8750tw20cw+aLI1DaMRNltfO38ibzx9TM5ZWz/gdlHxfVc9Mv3+dU7u3F79aWqiIwOR9/T8QS88MILrFu3jtWrD/8HrLKyEqfTSXJycp/Xs7KyqKysDIzpHQp1v9/9Xn9jmpub6ejoICYm5rBrL1myhIceeuiYP8/B734X167dx3xcKEVNmkjOj34U3NioKLKzswHIy8tj7ty5nHrqqZx//vk8++yz3HTTTeEsVUREREROhGHAln/CW9+B1sr+xyYVwqd/CePPi0xtw9iEzHheuOVU/rbmAD99YzvNnUf+wtTt9fO//9nFqxsPsuSqmcwtTDniOBGRkSLkwdCBAwf4+te/ztKlS4mOjg716U/IAw88wD333BN43tzcTEFBwYDHuXbtpmPjxnCWFnbnnXces2bN4sUXX1QwJCIiIjJU1e42F5YuWTHw2JNvhkXfh6iE8Nc1QlitFq4+pZDzpmby0KvbeH3TwaOO3VnVwlVPfciXTh3DNxdPJiHaEcFKRUQiJ+RTydauXUt1dTVz587Fbrdjt9tZsWIFjz/+OHa7naysLNxuN42NjX2Oq6qqCnS5ZGdnH7ZLWffzgcYkJiYesVsIzE6axMTEPrfRZMqUKezbt2+wyxARERGRQ7nbYdkPzS3oBwqFUsfB9W/Apf+rUOg4ZSZE88QX5/K76+aTm3T0L7MNA/5v1X4u+Pl7/GfrAN1bIiLDVMiDofPPP5/NmzezYcOGwG3+/Plce+21gccOh4Nly5YFjtm5cyelpaUsXLgQgIULF7J582aqq6sDY5YuXUpiYiLTpk0LjOl9ju4x3eeQwxmGgcViGewyRERERKS3HW/AEwvg/UfB7zn6OJsTzvomfHUljD09cvWNYOdPzWLpPWfzldPH0t+PyZXNndzyx7V89Y9rqWrujFyBIiLHyePzsKt+V1BjQz6VLCEhgRkzZvR5LS4ujrS0tMDrN954I/fccw+pqakkJiZy5513snDhQk499VQALrzwQqZNm8aXvvQlHnnkESorK3nwwQe5/fbbiYqKAuCrX/0qv/rVr/jWt77FDTfcwDvvvMPf/vY3Xn/99VB/pBFj+/btFBUVDXYZIiIiIgLQsA/+fT/s+vfAY8edA5c8CukTwl3VqBMXZef7n5rOZ2bncf8/N7GjsuWoY9/cWsnKPbXcd/EUvnhKIVarvnQVkcHX7mlnV8MuttdvZ3vddnbU72B3425cba6gjg/L4tMDeeyxx7BarVx11VW4XC4WL17Mk08+GXjfZrPx2muvceutt7Jw4ULi4uK47rrr+OEPfxgYU1RUxOuvv87dd9/NL3/5S/Lz8/ntb3/L4sWLQ15v1KSJIT9npGt455132Lx5M3fffXeIKhIRERGR4+J1wYePw3v/C94Buk8ScmDxT2H6FfTb0iInbHZBMq/eeQa/fb+EX7y9C9dRdiVrcXl58OUtvLy+nCVXzmRilqbziUjkNHY2sr3eDH+2121ne/129jfvx8A47nNaDMM4/qOHuebmZpKSkmhqajpsvaHOzk5KSkooKioacoto9+f666+nqqqKP/zhD/h8PqqqqnjzzTdZsmQJ55xzDi+//DI2m+2w44br5xUREREZVva+C298A+r29D/OYoNTb4Vz7tc6QoNgf10b335pMyv31PU7zmGzcOs5E7jtnPFEOw7/GVtE5HgZhkFVe1WgA2h7vRkCVbYFv96Zr8PH9lu3HzHz6G1QOoYkvN58801ycnKw2+2kpKQwa9YsHn/8ca677jqs1pAvKyUiIiIiA2muMLef3/riwGMLToXLfg5Z08NflxzRmLQ4/nTjAl5cV86PX99GQ/uR137y+AweX7ab1zZVsOSKmSwYlxbhSkVkJPAbfvY37w8EQDvqdrCjfgcNroaIXF8dQyOsY+h4jbbPKyIiIhIRPi988mt496fgbu1/bGwaXPAjmHUN6Mu8IaOu1cVPXt/Oi+vLBxx7zSkF3H/RVJJitbW9iByZx+dhT+OenhCo3gyBOrwdIb+WOoZERERERAZT6Ufw+r1QtWWAgRaY/xU477sQmxqR0iR4afFR/PwLs7l8Th7feXkzB+qP/svbXz45wNJt1fzg09O4dGaOdgQWGeXaPe3sbNgZmA7WvSi01+8N63ULEwqZkjqFsVFj+RpfG3C8OobUMQSMvs8rIiIiEjZttbD0e7DhzwOPzZltThvLmxf2suTEdbh9/OLtXfz2gxJ8/v5/jTp/SiY/vHwGeckxEapORAZTk6uJbXXbAlPBQrEo9EDsFjvjkscxJXUKU1OnMjVtKpNTJhPvjAf6zzz6nCdsFYqIiIiIjCZ+H6x7Dt5+CDob+x8blQSLvgfzvgJWLVo8XMQ4bTxwyVQ+NSuXB17czObypqOOXbajmo9+voJ7L5zMlxaOwWHT9ECRkaLD28H2uu1sqd1i3uq2cKDlQFivGW2LZlLqJKamTg0EQRNSJhBlizrhcysYEhERERE5URXr4bV7oGLdwGNnXQMX/BDiM8Nfl4TFjLwkXrrtNJ5btZ9H/7OTdrfviOPa3D5++No2/vzxfr5z6VTOnZyp6WUiw4zH72FPwx621G0JBEF7G/fiM4789z4UEpwJZgdQ6lSmpJkh0NjEsdjC9EWCgqEBjJaZdqPlc4qIiIiEVEcjvPNjWP1bGGi6QMZUuPRRGHt6JCqTMLPbrNx4RhGLp2fx4MtbWL6z5qhj99a0ccOzazhzYjrfuXQqU7KPPqVDRAaP3/BT2lzaJwTaUb8Dl88VtmtmxmQyJW0KU1KnMC11GlPSppAblxvREFnB0FHYbGYS53a7iYkZ+fOC3W430PO5RURERKQfhgGb/gr/eRDajh4IAOCIg3Puh1NvBZt2qxpp8lNi+cP1J/PapoM89OpWalvdRx37/u5aLvnl+3zh5ELuuWASGQknPgVERI5fVVsVW+q2sLV2K5trN7O1bist7pawXa97UeipaeZ0sCmpU0iPSQ/b9YKlxaePshCTYRiUlpbi8XjIzc3FOoK3DPX7/VRUVOBwOCgsLFR7q4iIiEh/qrbBG9+A/SsHHjvtM7B4CSTlhb8uGXSN7W6WvLGDv64ZeK2ROKeN286dwI1nFBHt0JezIuHW5Gpia93WnhCodivVHdVhuZbNYmNc8rie6WCpU5icOpkEZ0JYrnc0wS4+rWConz8kt9tNSUkJfr9/EKqLLKvVSlFREU6nc7BLERERERmaXK2w4mfw0VMw0FbDqePgkv+BCYsiU5sMKav21vHQq1vZUTlw50Fecgzfumgyn54V2akjIiNZp7eTHfU72FK7JdAJtL95f1iuZbVYGZ88nhlpM5iRPoPpadNDtij0iVIwFIRg/pD8fn9gmtVI5nQ6R3RXlIiIiMhxMwzY/gq8+QA0l/c/1hYFZ94Lp38dHNGRqU+GJJ/f4G9rDvDof3b2O72s25zCZB68dBrzxqREoDqRkcPr97K3cW+fEGh3w+6wLQ6dH5/PjPQZgdvU1KnEOmLDcq0TpWAoCMH+IYmIiIjIKFW3F974JuxdNvDYiRfCxQ+b3UIiXVo6PTy1fC+//aAEt3fgmQiXnZTDfRdNoSB1aP6iKTLYqtqq2FCzgY01G9lSu4Xtddvp9HWG5Vpp0Wl9QqDpadNJiR4+4a2CoSAoGBIRERGRI/J0wAePwQe/gIF2o0nMNwOhKZeCpgLJUZQ1tPPImzt5ZWPFgGOddnPHs9vOGU9CtBYsl9HL4/Owo34HG2s2BsKgyrbKsFwrzhHH9LTpgRBoZvpMsmKzhvUUTwVDQVAwJCIiIiJ9+P2w7SVY9kNo2Nf/WKsdTrsTzvomOOMiUp4Mf+tKG/jxa9tYV9o44Ni0OCf3XDiJL8wvwG7Tsg8y8tV21LKxemMgCNpWty0sW8U7rA6mpE7p0w00NnEsVsvI+numYCgICoZEREREBDDXEdq7DN5+CCo3DTx+7Jlwyf9C5pTw1yYjjmEYvLbpID/79w7KGzsGHD85K4HvXDqVsyZlRKA6kcjw+D3satgVCII21mykvHWAddyOgwWLuTh0+gxzgeiMGUxKnoTDNvK78RQMBUHBkIiIiIhQtgbe/gHse3/gsXGZsPinMPOzmjYmJ6zT4+P3K0t48t29tLoG2OkOOGdyBt+5ZCoTsyK75bVIKNR31rOpZhMbqs0pYVvrttLhHTgYPVZ58Xk9IVD6DKalTRuyi0OHm4KhICgYEhERERnFanaaU8Z2vDbwWIsVTrkFzv02RCeFvzYZVWpaXDz29i5e+KQU/wC/ndmsFq45pYC7F00iLX7wt8MWORKf38eexj3mlLCuIKi0pTTk10mJSmFmxsyereLTp5ManRry6wxXCoaCoGBIREREZBRqKoPlS2DD82AMvEsU+SfDpY9Czqzw1yaj2o7KZn7y+nbe31074NiEKDt3nDeB608fS5TdFoHqRI6uydUUmA62sWYjm2s20+5tD+k1rBYrE5MnMitjFrMzZzMrYxYFCQXDenHocFMwFAQFQyIiIiKjSHs9vP8ofPKbgXcaA0geA+d+B2Z+Dqwja0FSGboMw2D5rhp+8vp29lS3Dji+IDWGBy6eysUzsvULskSE3/BT3Fgc2CVsY81GSppKQn6dRGciszJmmbfMWcxMn0mcQwv9HwsFQ0FQMCQiIiIyCrjb4KMnYeXj4GoeeHxcBpz1LZh3PdidYS9P5Ei8Pj9/+aSUx97eTX2be8Dx88ek8OBl05hdkBz+4mRUafe0s6l2E+ur1rOhZgObazbT4mkJ6TW6F4juHQSNxF3CIk3BUBAUDImIiIiMYF43rHsOVjwCbdUDj3cmwOlfg1Nvg6j48NcnEoSmDg9PvruHP6zch9s38NTHy2fn8q2LppCbHBOB6mQkqu+sZ33VetZVr2Nd1Tq212/HZ/hCeo14RzwnZZzE7AxzStjMjJkkOLWoeqgpGAqCgiERERGREcjvh60vwjs/goZ9A4+3Oc2Fpc+4B+LSwl6eyPHYX9fGw2/u4I3NlQOOjbJbueWscXz17PHERdkjUJ0MV4ZhUNZaxrqqdayvXs/aqrXsa94X8usUJRUFuoFmZ8xmXPI4dQNFgIKhICgYEhERERlBDAP2LINlP4DKzQOPt1hh1hfhnPshuSDs5YmEwup99fzotW1sKmsacGxGQhTfvHAyV83Lx2bV+kNi7ha2u3E3a6vWsr56Peur1lPdEURH5TGItccyM2Nmz7SwjFkkRWk3x8GgYCgICoZERERERogDq+HtH8D+D4IbP+UyOO+7kDklrGWJhIPfb/CvjeU88uZODjZ1Djh+ak4i3710KqdNSI9AdTKUuHwuNtdsNruBqteysXojrZ6BFzU/FoUJhX12CpuQPAGbVTvlDQUKhoKgYEhERERkmKveYU4Z2/FacOPHnAGLfgAFJ4e1LJFI6HD7+O37xTy1Yi/t7oHXgFk0NZMHLpnK+AytoTVSNbma2FC9IbA+0Na6rXj8npCdP9oWzYz0GX0WiU6NTg3Z+SW0FAwFQcGQiIiIyDDVeACWL4GNfwFj4AV5yZ4J5/8AJpwP2tJbRpiq5k4e/c9O/r62jIF+u7NZLXzqpBxuPWcCk7O12O9wV9lWGZgWtrZqLXsa94T0/ClRKczJnMPcrLnMzZzLlLQpOKyOkF5DwkfBUBAUDImIiIgMM2118P6jsPo34Bt4C29SxppTxqZfCVYtdCoj29aKJn782nZWFdcFNf78KZncdu545o1Rx8dw4Df8FDcWm91A1etYX7WeiraKkF4jLz6PeVnzAmFQUWIRFoXpw5aCoSAoGBIREREZJlyt8NGTsPJxcLcMPD4uE87+Fsy9DuzO8NcnMkQYhsHb26v56RvbKaltC+qYU4pSufWc8ZwzKUMhwBDi8XnYWreV9dXrzV3DatbT5Bp40fFgWbAwKWVSoBtoTuYcsuKyQnZ+GXwKhoKgYEhERERkiPO6Ye2z8N4j0FYz8PioRDj963DqreCMC3t5IkOV2+vnTx/t55fLdtPUEdwaM9NyErn1nPFcMjNHu5gNgk5vJ5tqNrG2ai1rqtawqWYTnb6BFxcPltPqZEb6jEAQNCtzFolO/R48kikYCoKCIREREZEhyu+HLf+Ad34MjfsHHm+LggW3wBn3QKymxYh0a2x38/iyPfzfqn14/cH96jcmLZb/Pms8V83LI8qu3aXCpd3TzobqDaypWsPaqrVsrt0c0oWiE5wJzMmcw5zMOczLmse0tGlE2aJCdn4Z+hQMBUHBkIiIiMgQYxiw+z+w7IdQtWXg8RYrzL4WzrkfkvLDX5/IMFXR2MFv3i/mhU8O0OEZeAczgMyEKG46s4gvLhhDfJQ9zBWOfC3uFtZXrzeDoMq1bKvbhtfwhuz8WbFZgW6guVlzmZA8AatFa6uNZgqGgqBgSERERGQIKf0Y3v4BlH4Y3PipnzIXls6YHNayREaS+jY3z364j+c+3Bf0FLPEaDvXnTaW608bS1q8Ok6C1djZyNrqtebUsMo17GzYiT+YXRSDND5pPHOz5gY6gnLicrRGlPTRVF9PclqagqH+KBgSERERGQIOrDZ3Gtv17+DGjz0TFj0E+fPCW5fICNbq8vKXj0v57QfFVDW7gjom2mHl6pMLufmsceQlx4S5wuGntqM2EAKtrV7L7obdITu33WJnWvo0sxuoa6Ho5OjkkJ1fhifD78dbU4OnrAxPeTnusjI8ZeXm87IyGioqOGXnDgVD/VEwJCIiIjJI/D7Y/iqsegLKPgnumOyTYNEPYPx5oG/FRULC5fXx0rpynl6xl3117UEdY7da+MzsPL569jgmZiWEucKhq6qtKrA+0JqqNZQ0lYTs3NG2aGZlzmJe1jzmZ81nRvoMYuwK40YbwzDwNTYGgh53VwAUCH8qKjDc7qMe3+rzccqe3QqG+qNgSERERCTCXC2w/k/w0VPBLSoNkDoOznsQpl0BVq2XIRIOPr/Bv7cc5Knle9la0Rz0cRdOy+LWc8YzpzAljNUNDeWt5aypXBMIgw60HAjZueMccczOnM38rPnMz5rP9LTpOGyOkJ1fhi5faxue8rJe4U95V/hjPve3BxfYHomCoSAoGBIRERGJkKYy+PhpWPscuIL8pTM+C86+D+Z+GfQLkkhEGIbBe7treWr5Hj4qrg/6uIXj0rjt3PGcMSF9RKxzYxgGpS2lfYKgg20HQ3b+RGcic7PmBoKgyamTsVu1wPdI5He58JRXBMKfPtO9ysvxNTaG7doKhoKgYEhEREQkzMrXmdPFtr4ERnA7IRGVBGfcBQv+G5xxYS1PRI5uXWkDT767l7e3VwV9zMy8JG49ZzyLp2djsw6fgMgwDIqbivsEQTUdNSE7f0pUijktLNsMgiamTNSOYSOE4ffjra7Gvb8UT9mBw9b58daE7v9Hx0rBUBAUDImIiIiEgd9vLiS96gnYvzL446KT4eQbYeEdEJsatvJE5Njsqmrh6eV7+dfGCnz+4H59HJcex1fPHs/lc/Jw2odeAOI3/Oxp3NMnCKrvDL5DaiAZMRnMz5ofCIPGJY0bEZ1Uo5Xh9eKpqMC9vxT3gVI8+0txHziAu3Q/ngNlGK7gFnCPCLsdR24uzvw8OtMzmPw/jygY6o+CIREREZEQcrfBhufhoyehvjj441LHwam3wewvqkNIZAg7UN/Ob98v5oXVB3B5g9t2PTsxmpvOLOKaUwqJixq8qVJ+w8/uht2srlwdCIIaXY0hO39OXE6fIKgwoVBB0DDjd7nwHDiAu7QUd2kpntJS3KXmc09FBXi9g12iyWLBnp2NIy8XZ14+jnzz5szPw5GXhz0rC4vNBgSfeSgYUjAkIiIicmKaD8Lq38Ca30NHQ/DHFZ4Gp90Bky4Cqy189YlISNW2uvjDyhL+b9V+WjqD+2U5OdbBdQvHcv1pY0mJc4a5QvD5fexs2NmnI6jZHfyi2gMpSCjoEwTlxeeF7NwSPr7W1q7Apzv02Y+nK/zxVlXBEIlHbGlpOPLzzOAnL68r/MnDmZ+PIycHizO4v0MKhoKgYEhERETkBFRuNqeLbf4H+D3BHWOxwfQrYOFtkDcvvPWJSFi1dHr488el/Pb9Empbg5tKE+u0cc0phdx0ZhE5SaHbft3r97KzfidrqtawunI166rW0eJpCdn5i5KKeoKgrPlkxWWF7NwSOoHt3ffvN6d67S/tE/746kM3XfBEWBMSenX55PcEP3lm1481NjYk11EwFAQFQyIiIiLHyO+HPW/Dql9ByYrgj4tKhHnXwSn/DckF4atPRCKu0+Pjn+vK+PWKYkrrg9ta22GzcMWcPP777PGMz4g/5mt6/V62121nddVq1lSuYV31Oto8bcd8nqOZmDIxsGPY3Ky5pMekh+zccmIMw8BXV4e7pMTs/Om97k9pKf7W1sEuEUt09NE7fvLzsUUof1AwFAQFQyIiIiJB8nTApr/CqiehdmfwxyUVwqm3wtwvQVRC+OoTkUHn9fl5Y0slT767hx2VwXfrLChK5bPz8rlkZs5R1yHy+D1srd3Kmqo1rKlcw/rq9bR7gwuhBmLBwpTUKYFpYfMy55EcnRySc8vx87W24d6/D3fJPtz7+t6GQvhjS03FWVCAY0whzsIxOAsLcBQU4CwowJaWNiTWmFIwFAQFQyIiIiIDaK2B1b81b+21wR+XN99cP2jKp8A2eAvOikjkGYbB8p01PLl8D6v3Bb/uWKzTxiUzc/jsvHzmFCSwrWErayrNqWEbajbQ4e0ISX1Wi5UpqVOYnzWfk7NPZk7mHJKikkJybjk2htuNu6y8J/QpKQk8Hsxt3rvZs7JwFhaa4U9BIc4xhWb4U1iILWHof9mhYCgICoZEREREjqJ6hzldbNPfwBfkNrwWK0y5DE67EwpOCW99IjIsrN5Xz1PL9/LOjur+B1q82KIPYIsrxhZbgj12P1iCXLtsADaLjampUzk5+2TmZ89nTuYcEpxD/5f6kcIwDLxVVb3Cn3249pkBkKesHHy+wSvOZjO3di8sxFFYYHb+jCk0O4EKCrBGRw9ebSEQbOYR8q9vlixZwosvvsiOHTuIiYnhtNNO4+GHH2by5MmBMZ2dndx777288MILuFwuFi9ezJNPPklWVs8CXqWlpdx66628++67xMfHc91117FkyRLs9p6Sly9fzj333MPWrVspKCjgwQcf5Prrrw/1RxIREREZHQwDit81F5Te83bwxzniYO6XYcF/Q2pR+OoTkWHn5LGpnHx9KtsPNvP0ir28urECvwFYPNhiSrHFlmCLLcYWU4rFGprtwG0WG9PTpjM/21wjaE7mHOKdx76OkRwbX3NzoOPHFZj2tR/3vn0YHaHp9joeFocDR6EZ9jjHFJqPu26O3FwsDseg1TZUhDwYWrFiBbfffjsnn3wyXq+Xb3/721x44YVs27aNuLg4AO6++25ef/11/v73v5OUlMQdd9zBlVdeycqVKwHw+XxceumlZGdn8+GHH3Lw4EG+/OUv43A4+OlPfwpASUkJl156KV/96lf585//zLJly7jpppvIyclh8eLFof5YIiIiIiOX12XuLLbqCajeGvxxiXlmGDT3OohJDlt5IjL8Fabb+MKZHWQU7GRpyYfUefZgsYamU8RusTMjfQbzs+dzctbJzM6cTawjNLs6SV9+lwtPaakZ/Byy9s9g7vhljY3FMWZMT/hT0NP9Y8/KwmK1Dlptw0HYp5LV1NSQmZnJihUrOOuss2hqaiIjI4Pnn3+ez372swDs2LGDqVOnsmrVKk499VT+/e9/c9lll1FRURHoInr66ae57777qKmpwel0ct999/H666+zZcuWwLWuvvpqGhsbefPNN4OqTVPJREREZFRrr4c1v4NPfgOtVcEflzMLFt4J0y8Hm75pFZHDNbmaWF+9nrVVa1lTuYbt9dvxGaEJggzDht0zhhlpc/j89HNYNO4UBUEh5q2vx11cjKu4GPfeYlwlxbiLS/CUl5vdpYPA4nTiHDMG59ixvW5jcI4ZM2QWex5qBm0q2aGampoASE1NBWDt2rV4PB4WLVoUGDNlyhQKCwsDwdCqVauYOXNmn6llixcv5tZbb2Xr1q3MmTOHVatW9TlH95i77rrrqLW4XC5crp458s3NzaH4iCIiIiLDh2FAxXpY/0fY8BcIejFXC0y+GBbeDmNOB/0ALiK91HbUsq5qnRkEVa1hd8NuDEITIBh+G76OQnzt4/C1F+HrKATDyQd74YNP2jh13EY+O6+Ai2dkH3VXMzmc4fPhqajAtXcv7uISXMXmvbu4GF9j4+AUZbGYa/4UFR0SAI3FkZONxWYbnLpGuLD+rfH7/dx1112cfvrpzJgxA4DKykqcTifJycl9xmZlZVFZWRkY0zsU6n6/+73+xjQ3N9PR0UFMTMxh9SxZsoSHHnooJJ9NREREZFhp2A+b/2YuJl27K/jj7DEw+4tw6m2QPiF89YnIsFLZVhnYOn5t1Vr2Ne8L2bkt2PG2F+Jt6x0EHb078aPiej4qrud7/9oS2NXslLGpWK0KsAH8HR3muj97i80uoBKzC8i9bx+G2z0oNdlSU3tCnyLzPmrsWByFhVijogalptEsrMHQ7bffzpYtW/jggw/CeZmgPfDAA9xzzz2B583NzRQUFAxiRSIiIiJh1NEAW182w6DSD4/t2PgsOOVmmH8jxKaGpTwRGR4Mw+BAy4FAN9DaqrWUt5aH7PzRtmhmZc4KbB8/M30mLR0G/9pQwd/XlrG9PbiZHu1uH/9YW8Y/1pZRkBrDVXPzuWpuPgWpI3+amWEY+ALTv0pwF+817/fuxVNRMSg1WWJieqZ7dQU/zqIic+pXUtKg1CRHFrZg6I477uC1117jvffeIz8/P/B6dnY2brebxsbGPl1DVVVVZGdnB8Z88sknfc5XVVUVeK/7vvu13mMSExOP2C0EEBUVRZTSRxERERnJvC7YvRQ2vQC73gLfMX4bnDkdTrsDZlwFdv3cJDIa+Q0/xY3FfYKgmo6akJ0/1h7LnMw5zMuax7ysecxMn4njkPXK0uLhhjOKuOGMIrZWNPHPteW8vKGc+rbg/pt2oL6DX7y9m1+8vZtTx6WOmKlmhs+Hp7z8yNO/upZxiSibDWd+/mHdP86iIuyZmVr3Z5gI+d8KwzC48847eemll1i+fDlFRX23LJ03bx4Oh4Nly5Zx1VVXAbBz505KS0tZuHAhAAsXLuQnP/kJ1dXVZGZmArB06VISExOZNm1aYMwbb7zR59xLly4NnENERERk1DAMOPAxbPorbHkROhuP/RwTLjDXDxp3jtYPEhllfH4fOxt2BqaFrateR6OrMWTnT3QmMjdrLvOzzO3jJ6dOxm4N/lfR6blJTM9N4v6Lp/Duzmr+sbaMd3dU4/UHt4bRcJxq5u/owF1Sclj3j3v//kGZ/mVLTcU5roioonF91//Jz8PidEa8HgmtkO9Kdtttt/H888/zr3/9i8mTJwdeT0pKCnTy3Hrrrbzxxhs8++yzJCYmcueddwLw4Ydmi7PP52P27Nnk5ubyyCOPUFlZyZe+9CVuuummPtvVz5gxg9tvv50bbriBd955h6997Wu8/vrrQW9Xr13JREREZFir3WOGQZv+Co37j/14ZzzMuNJcPyhzaujrE5EhyePzsLVua6AbaEP1Blo9rSE7f1p0GvOz5wc6giYkT8BqCe124bWtLnOq2ZoD7KhsOebjh8pUM19rmxn87NmLa+8ecwewvXvxlJVFfvcvqxVHfj5RRUU4x40javw4nOPMIMiekhLZWiQkgs08Qh4MHa1V7A9/+APXX389AJ2dndx777385S9/weVysXjxYp588snANDGA/fv3c+utt7J8+XLi4uK47rrr+NnPfobd3pMsL1++nLvvvptt27aRn5/Pd7/73cA1gqFgSERERIadtlrY8k8zDCpfe+zHW2ww4Xw46Qsw+RJwjvy1N0RGu3ZPO5trNwd2DdtYs5FOX2fIzp8Tl8P8rJ4gaEzimIhOIdpa0cQ/1pbxrw0VQU816y0SU818jY24iotx7dmDe29XEFRcjPfgwbBcrz+W6Oie7p9xRUSNH4+zaBzOsWO08PMIM2jB0HCiYEhERESGBU8H7HzDXER6z9vg9x77OXLnmmHQjKsgPiP0NYrIkFHVVsX6mvVsqN7A+ur17Kzfic/whez8YxPHBkKgeVnzyI3PDdm5T4Tb6z+uqWbdYp02LpqRzYXTsjh9QjoJ0UffCe1IuheADnT/7NmLa69589XWHtO5QsGWlmZ2/4wfT9S4ri6gceOw5+RgsYa2g0uGJgVDQVAwJCIiIkOW3w/73jfDoG3/AvexT5UgudAMg2Z+HjImhb5GERl0Pr+PPY17WF+9nvXVZhhU0RbaXagmpkxkXuY85mXPY37WfNJj0kN6/nA40almdquFk8emcs7kDM6dksnEzPhAF5RhGHirqswFoLu7f/buxb1nT+QXgLZacRTkm90/483gx1k0jqhxRdh6bfYko5OCoSAoGBIREZEhp2qbuaPY5n9A83FsBx2dBNOvNAOhggWgb4VFRpQ2TxubajYFuoE21W6izdMWsvNbLVampk4NdAPNzZxLcnRyyM4/GI53qpnF8JPZ3kBhSzUzvPXMNRooaK4iuqIUoy10f+ZB1RITE1j7xzmuiKhx43GOMxeBtmrxZzkKBUNBUDAkIiIiQ0LzQdjyD9j4V6jafOzHWx0waTHMuhomXqht5kVGkMq2yj7dQDsbduI3/CE7v91qZ2b6TOZlmd1AszJmEe+MD9n5h5KjTTWzGn6y2+oobKkyb83mfUFrNdE+T0RrtCYlETV+vHmbMB7nuPFEjR+HPTtb07/kmAWbeYRnZS0RERER6Z+rFba/ai4iXbICjucXvcKFcNLnYdrlEJsa8hJFJLK8fi+7G3YHQqD1NeupbKsM6TWibdHMypgVmBY2M30m0fbokF5jqHLg55yYdhZm19NQX8z+dVtw791LRkMlzuNZu+0E2NLTuwKgceYaQOMnEDVhPLa0tIgu3C0CCoZEREREIsfnheLl5lSxHa+Dp/3Yz5E2AU66Gk76HKSMDXWFIhJBre5WNtVsCiwUvalmE+3e4/jvQj/SotOYkzmH2ZmzmZ05m2mp03DYjm1R5eHGcLtxl5aaa//s2dOzEPS+feDp6QCKxDL89uxsc9ev8eMC4Y9z3Dht/y5DioIhERERkXDyuqF0Fez8t7nNfFv1sZ8jNh1mftbsDsqdC/o2WWTYMQyDg20H+0wL2924O6TTwgAmJE9gduZs5mTOYU7GHPIT8kdsB4rf7ca9bx/uPXsCC0C79uzBvX8/eCPbAXQwNpXShCxKE7I4kJDZdZ9Fdk4a50zO5JzJGZxSlEq0wxbRukSCoWBIREREJNQaS2H3UtizzJwm5m499nPYo2HKpWZ30PhzYYR/wy8y0nj9XnY27AwsEr2+ej3V7ccRDPcj2hbNjPQZgY6gWRmzSIpKCuk1hgK/y4W7pKTXNvBmEOQuLQWfL2J1+LBwMD49EACVdgVAZfEZuI6ytltxbRvFtSX8fmUJMQ4bp09I4+zJmZw7OYP8lNiI1S7SHwVDIiIiIifK64L9K2H327DnbajdeZwnskDRWeaOYlM/BdHaHENkODAMg7LWMrbUbgncttdvp8PbEdLrZMRkmFPCMsyOoClpU3BYR05o7O/oMAOgvXtx7d4T2ALefeAA+EPbWdUvh4OosWNwjp8QWAfIMX48e52p7NrXxLs7qllX2oD/GLdx6vD4eHt7NW9vNwPCiZnxnDslk3MmZTB/bCpOuxaXlsGhXcm0K5mIiIgcj/oSMwTa8zaUvHd86wV1y5wOs74AMz4LSXmhq1FEwqKuo46tdVvZXLuZzbWb2Vq7lUZXY0ivYcHChJQJzMmYE5galhefNyKmhfnb2nAVl5jdP3v3BqaBeQ4cgAj+empxOHCOG0fUhK61f7p2A3MWFmJx9B+4Nba7eX93Le/urGbFzhrq2twnVEuc08YZE9MD085ykmJO6HwioO3qg6JgSERERILm6YB9K7vCoKVQt+fEzpeQAzM/Z3YHZc8ITY0iEnLtnna21m1la60ZBG2p3UJFW0XIrxNjj2Fm+sxACHRSxkkkOof37yi+xkZcxcXmuj97i81OoOK9eCsORrQOS1RUTwDUtQ181IQJOPLzsdhPfBKN32+wubyJ5TtreHdnNRvLGk8435qSncC5UzI5e1IGswuStTaRHBcFQ0FQMCQiIiL9qtvbtVbQ27DvffB2ntj5opLMdYNmfQHGnglW/aAvMpR4/B52N+xmS+2WQAhU3FQc8gWiATJjMnsWic6cw6TUScNyWphhGHhranAXF5vr/hR3dQAVF+OrrY1oLZaYGKLGjevq/pkQ6ARy5OVhsUXuv7d1rS7e213DuztqeG93DY3tnoEP6ofdamFKTgKzC5KZU5DC7MJkitLisFqHf/eYhJeCoSAoGBIREZE+3O1mALTnbTMQaig58XNmnwQTL4AJF0D+yWDTEo8iQ4Hf8FPaXMqWui2BIGhH3Q7c/hObEnQkFixMSpkUCIJmZ84mNy53WE0LM/x+PBUHce/dg2tvcdc0sGJcxcX4m5sjWoslNrZr7R+z+8c5wQyBHLm5WKxDa50en99gw4FGlu+sZvnOGjaXN4XkvEkxDmYVJJthUWEys/OTSYlzhuTcMnIoGAqCgiEREZFRzjCgdrc5NWzP2+ZUMZ/rxM4ZnQzjzzPDoPHnQ0JWSEoVkRNT014T6ALaUruFLXVbaHG3hOVaqdGpTE+bzoz0GczOmM1JGScR74wPy7VCzfB6cZce6Al+9u411wEqKcHoCO1i2gOxxsXhnDCeqF7dP1Hjx2PPyRlyAVCwqls6WbGzhuU7zW6ilk5vyM5dlB7H7F5h0ZTsRC1oPcopGAqCgiEREZFRyNVqLhbdHQY1lp74OXPnmB1BEy+A3LnqChIZZC3uFrbVbesTBFW1V4XlWjH2GKalTWNm+kymp09nZvrMYdENFNgCvjv42VtsTgPbtx88Jzb16VhZExLMRZ+71v4xg6Dx2LOzh/yf44nw+vysK23k3a5uou0HQ9t55bRbmZGbyJzClEBglJ8SM6L/TKUvBUNBUDAkIiIyChgG1OzoWSuodBX4TnCqSEwqTDjfDIPGnwfxGaGpVUSOWYu7hV0Nu9hRvyMQBpU0hWAa6BHYLXYmpkxkRvqMQBA0LmkcduvQDYN9jY24Skpwl+wzg5+uLiBPWVlkt4AHbKmpRI0bZwZA48YHdgKzZ2YqrAAONnWwomsB6w9219Lm9oX8GunxUYGOojkFyZxUkEx81ND9/6+cGAVDQVAwJCIiMkK11ZoB0J63Yffb0Fx2gie0QN68nrWCcmdr4WiRCPMbfspby9lVv4udDTvZUb+DXQ27KG8tD9s1xySOYXqa2QU0I30GU1KnEG2PDtv1jpfh8eAuKzPDn5LiXkFQMb6GhojXY8/ONjuAxo/rGwClpES8luHK7fWzsayR9aUNbDjQyPrSRg42neAGCEdgscCkzISetYoKk5mYmYBNC1uPCAqGgqBgSEREZATwuqFqM5St6bqtDs2i0bHpMGFR11pB50Fs6omfU0SC0uHtYE/Dnj4B0K6GXbR52sJ2zbToNGZmzDRDoLQZTE+fTlJUUtiudzy8DQ2B8MddUoKrZB/ukhLcpaXgDd1aNUGxWHAUFHQtAj3O3AVs/Dic48Zhix8e6ykNN5VNnWw40MD6A41sKG1kU1kTHZ7QdxXFOW2clG+GRN2BUWbC0AtEZWAKhoKgYEhERGSYMQxoLjfDn+4QqGLDiS8YDWCxmruGTbgAJi6C7FkwTBc3FRkuDMOgur2anQ072Vm/M3Bf2lIali3iu8U54gKLQ3d3A2XFZg2J6UyGx4P7QFmv8KdX909jY+QLcjiIGjsG57jxPV1A48fjHDsWa7TCgsHk9fnZVdXK+gMNbChtZMOBRvbUtBKO3/DzkmPMoCg/mUnZCUzIjCc3KXpI/J2Ro1MwFAQFQyIiIkOcux0ObugKgrrCoJaDoTt/fJbZFTRhEYw7R11BImHk8XnY27Q3EAB1TwlrdDWG9bp2q50pKVMCC0PPTJ/J2KSxWC2DG/ya3T8luIv7Tv1yl5VFvvsHsERHm+v/jO8dAE3AWZCPxeGIeD1yfJo7PWw60GR2FnWFRXVtJ7iu3lHEOm2Mz4hnYmY84zPjmdB1G5Mai92mL1aGAgVDQVAwJCIiMoQYBtQX9wqBVkPlFjBC2CZvsUHBArMjaMIFkDVDXUEiYVDfWc/O+p3satgVCIKKG4vxGuEPPIqSigJdQDPSZjA5dTJOmzPs1z0Sw+021/45NPwpKcHX1DQoNVkTEw9fAHrceBy5w3cLeDk6wzA4UN9hdhV1rVW0raIZty98HXkOm4Wi9DgzKMroCY3GZ8QT7dD6fJGkYCgICoZEREQGUWcTlK/tmRJWtgY66kN/nYRccwexiReYXUHRQ2vNEJHhzOf3sb95/2FTwWo6asJ+7WhbNBNTJjIpZRJTUqcwOXUyE5MnEu+M7Po2frcbT1kZ7tJSPKWluPeX4i4txV26H09ZOfhCvwbMgKxWHHl5OMcVETW2CGdRkfm4qAhberqm/4xyLq+PbRXNbDjQGAiLSuvbw35diwUKUmIDnUW9b4nR6koLBwVDQVAwJCIiEiF+n7llfO8pYTU7gVD/GGKBzKmQP99cLyj/ZMiYYv40KiLHze1zU9pcyr7mfZQ0lVDSVEJxUzF7GvfgCsUaXwPIis1icupkJqdMZlLqJCanTKYwoRBbhHYH9Hd04C49YIY9paU9j/eX4jl4kLAs6hIEa0LCEcMfx5gxWJ2D0yUlw1Ndq6trFzQzLNpQ2kiLK3JTGjMTopiQaU5Lm9BralpGfJSCzBOgYCgICoZERETCpLUGytf0BEHl68DdGvrrxKZ1BUBdQVDuXIjWv+kix6uhs4GSppI+AVBJUwllrWVhXQy6m91qZ0LyBCalmOFPdxiUHJ0c9mv7WlqO3PVTegBvdXXYr39UViuOgvzDwh9nURG2tDT90ixh4fcbFNe2sr60MbAL2s6qFnz+yMYHidF2JmYlMCGjb4dRXnIMVqv+vz8QBUNBUDAkIiISAm21ZjdQ5ZaeMKhhX+ivY7VD9syeTqD8+ZBSpG4gkWPk9Xspby03A6CmfZQ09wRA4V4IurfU6NS+AVDqZIqSinBYwzOlxDAMfI2NXR0/3eGP2fXjLi3F19AQlusGy5qURNTYsV3hzzicRWPN7p/CQnX/yJDQ4faxt6aVvTWt7Kk2b7urW9lX24Y3woFRtMPK+K6wKD8lhrzkWPJSYshLjiY3OYZYpz2i9QxVCoaCoGBIREQkSIYBbTVmAFSzE6q3m/c126G9LjzXTMzrOyUsZxY4YsJzLZERqMXdwr6mfYd1/+xv2Y/XH7kpIlaLlbGJYwPdP9336TGhX+vGMAy8NTU9XT8H+nYA+VtaQnq9Y2az4czPPyz8cY4bhy0lRd0/Mix5fH7217V3hUUt5n1NK3ur2+jwDMIaW0BqnJPc5Gjyks3QKDc5OhAg5SZHkxrnHBV/34LNPBSjiYiISA/DgNZqM/DpEwDtCM/C0N3s0ZA7pycIypsPSXnhu57ICOE3/FS2VR5x+lckFoA+VIIjIbAGUHcAND55PNH26JCc3zAMfPX1eCoq8JSX4ynvuq+owFNRgfvAAYyOjpBc60TYMzNxFhbiKCzsCX+KinAWFGBR94+MMA6bNTDFC7IDr/v9BhVNHeyubmVvdd8uo6YOT1hrqm9zU9/mZkt58xHfj3HYyO3qLjIDoxhyk837vJQYshOjsdtGzy596hhSx5CIiIxGhgEtlV0dQF236q77zsbwXz91XN8pYVkzwKYdSUSOptXdSllrmTn1qzv8aTangnX6OiNej91qZ0zCGIqSigJB0JTUKeTE5ZzQt/CG3292/JRX9IQ/FX3DH6Mz8p/3MBYLjpwcHGMKcRaO6QqBCszHBflYY2MHu0KRIcswDGpb3b06i1rZ3dVpVNUc/sXsg2G1QHZiNHkpfQOj3OQY8rtCpLiood9no44hERERMQOg5oqeKWA1vTqAOpsiU4MzAfLn9QRBefMhLi0y1xYZJjq8HVS0VlDeWm7eWsqpaKugrKWM8tZymt1H/tY73JKikhiXNI6xiWMpSioK3PLi87Bbj/1XCcPrxVtVhbtX0NMT/lTgPXgQwxPeToKg2e048nIDwY9zTFcHUOEYHPl5WvdH5DhZLBYyEqLISIhi4fi+Pw80d3r6dBd1h0el9e0R3fzPb0BFUycVTZ3AkdcfS4519Ok0yu8KjjITokiPjyI9IYo4p21YTFlTx5A6hkREZCQwDGgu7+n6Cdx2giuSv1AeYbv49EkQoS2lRYYqj8/DwbaDlLWaQU9FawXlLeWBIKiuM0xrdQXBarGSH5/P2KSxFCUW9QmAUqJTjulcfrcb78GDhwU+gcdVVeAbnDVHjsTidJqdPgWFZtdPdwfQmEIcOTlY7PoeXWQo6PT4KKltY3dXWNQdHu2vb6PTE/4dE49XtMNqhkRdt4wEJ2lxUaTHO0lP6PV6fBSJMfaQh0jqGBIRERlpDMOc5tVYCo0HoL64p/unZie4I7yoamI+ZE6BjCmQMRkyppr32i5eRiGf30dVe1VPx09X10/34+r2agwG9/vYWHtsn9CnKKmIosQiChMLcdoG7n4x/H58dXV4qqrxVlfjra7qmfLVFQR5a2qI6Nf6QbDExpodP91dPwUFgfDHnpWFxTp61hERGa6iHTam5iQyNafvzxiGYVDf5qaisZPyxnbKGjoCj8sbzcf1be5Bqho6PX7KGjooaxh47TOnzUpavLMrLHIGuo76PO96nBLrxGoNXYikYEhERGSoMAzoaIDG/V3hT1cA1P246UCEu3+6JBWagU8gBJpidgEpAJJRxG/4qe2opaK1wuz66ZrqVd5STllrGVVtVXiNyO301Z/suOzDOn/GJo4lMzbziN9GG4aBr7UVb1UV3upqPFVVeKtrup5X4amuxltVjbe2FrxD4zMeyp6RgSM3F0deXq91fwpwFhZiSw/97mciMjRYLBbS4qNIi49iZn7SEce0u71UNHZQ3thJeUMH5Y3tZnjU0EF5YweVzZ34/IMfaLt9fg42dXKwaeB11GxWC6lxPSFSRiBEcvbpUIoygluTTcGQiIhIpBgGtNVCU+mRg5/GUvC0DV59yYU9XT+ZXffpkyEqfvBqEokAwzBocjVR3VFNTXsN1e3V1HTUUNXW0wFU0VqB2z943zofKsoWxZjEMX06f8YmjWVs4lhiHT0LHxtut7mY864KWqo24K3uDn+6un6qzODHaG8fxE8zAKsVe1YWjrzcnvAn13zszMvDnpODNSpqsKsUkSEq1mlnQmYCEzITjvi+1+enqsVFeUNHV4DU0dV5ZD4ub+igwzN0psAC+PwGNS0ualr6X6zb7wruv+0KhkREREKle6v3xtKjhz/ewd5G2QIpY3o6fzKmmJ1A6ZPAGTfItYmElmEYtHhaqGmvoaajpk/oU91eHXi9ur0aj3+ILHjcS4Izgfz4fPLi88iNzyUvPo+ChAKKkorIjs2GpuaeLp9dVXir36Wpqora6p6OH199/WB/jIE5HDiys/uGPr3vszKxOLRroYiEh91mNXcdS4454vuGYdDY7jliYFTRZN7XDeJ0tVBQMCQiIhIsvx9aq3qmdR065avpAHiHwDbKAFggtejw9X/SJ4FT2yjL8NfuaT8s5Dm046emvWZQtnIPVow9hrz4vJ5bbC75pJDjiSW900FUcye+hnq8++vx1dfhrfsEb/VrdFZVsaemZujs3jUAS1RUoMMnEPbk9YQ/9owMLDYtUC8iQ5PFYiElzklKnJMZeUeertbh9lHR1EFlUye1rWYnT22rm9pWV8+txU1dmwuPb/CnrR1KwZCIiIir1Qx82mrM+9Zq89ZW3fO4tRpaK8E3xL4Rslghpahn6ldgDaCJ4DjyN18iQ1mnt7Onu6cr6DlS6NM2mNMug+S0OChy5DDeSKfQl0SuJ44Ml5OUDhvxrT7sTW146+vw1Zfhrd+Ir74hsGNX7SDXfiyssbFd07z6Bj7dIZAtLU1r/IjIiBbjtDE+I57xGf1PvzcMg6YOT1dY1BUcHRIi1bS6u15z4fJGZsc1BUMiIjIyudu7gp2usCcQ8hwh+PEM4bU1AOIyzfV/ArcCSB4DSQWQMhYc0YNdocgRGYZBu7ed+s56GjsbaXA10OhqpKGzgYbOXo9d5vP6znqa3YOwwPoxcHgMktohsR1S2i0U+JLI88ST6Y4mtd1KQpuf6FY39qY2jPpGDHcxUHzYeYb4f3UCbGlp2LMycWRmYc/MxJ6ViT0zE0dW9/MsbMnJCn5ERIJgsVhIjnWSHOtkQmb/Yw3DoNXl7RsgtfWERoeGS23u418HScGQiIgMH17XIaFO1RGCn65bpLduPxEJOWbIc8TwJ1+dPzJkuH3unkDH1UBjZ6MZ+nQFPN2vN3Q2BIKgobh2D4DFMIjthPhOiOuEuE6D+I6+zxM6IMMVRWqnjcR2iGlxY+88dFeuuq5bX5H5jvf4WWNjsWdlmbfMDDPoyTCDHkdX+GNPT8fiHHgbexERCT2LxUJCtIOEaAdF6QOvA9nh9nV1HPV0IZVV1XHfLwa+loIhERGJPMMATwd0NkJHo7lF+5Eet9f2DX46mwaz6uNkgcRcM+w5LPwphMQ8dfzIoPD5fbS4W6h39erm6ewV7PTq7Onu9Bly07cMg2h3T5gT3xXuxPV+3v24wwx74rrCoFgXWINa5mHorlF0RHa7uXV7Zmago8fs+Ol6nJmJPTMLW7wWmxcRGUlinDYKUmMpSO1ZS7K5OZn7gjhWwZCIiBw/r3vgcOdoj339b685bFisZrjTO+zpHQAl5oFd37hLaBmGQYe3g1ZPKy3ulsCt9/P+3mtxt9DuHRqTmSx+gxg3xLjNsMYMcXoCnO7HcYHuHqPrdXO8fai35oSK1YotJQV7WlqvsOfw6V221FQsVutgVysiIsOIgiERkdHM7wdPm7n4srvN7MjpbDhCoNN45HBnqHUPhJrVbq7vE9/rllRwSPCTCzZtoyzHxuP30OpupdXdSrOnueexu3nAQKfVY471GodOaYoci9/s1Il1Y967INptdN3Tc+82iHb1jItxQYzb6Lo3b9FDc6ZZRFiTkrCnpmJLTTXv01Kxp6aZz9NSsaWmmfdpadgSE7Vzl4iIhIWCIRGR4cTvB3ereXO19v/4sNfazHV3Aq+3mfejjcUKcRldQU/WIcFPVtd7Webz6GTQN++jnsfvod3TToe3g3ZvOx2erntvB+2e9mN63OZuo8XTQoe3I6KfweYziPLQ5+b0QLSnq1unO6g5QnBjvt533GgOc/pjjY01Q5zUFDPgCQQ9ZqePGfikYUtJxZ6SrPV7RERkSFAwJCISan4/eDvNm6ej674dPJ3g7TDvPe3m690BTSDMaekJbFytZpDT+/2hvnvWoLFAXPrh3T1xXWFPfEZPCBSbClZ96z6SGIaBy+fquXl7HgfCmSMEOt2vD/Q43IsnW/0GUW6I8vYObMDp6RXmeHuHOgbO3iGPt3fYc0gA5DXPN2qmW4WYxens1c2T1tPd07ubJzUNe2oKttRUrDFaKF5ERIYfBUMiMvL5/eZ6Nl7XIWFNR9fjrrCmvwDnWMZ6h9lCpUOVxWp27PQX8nS/F5sONv2TNhR4/d4+AU2nrxO3z02nr7NPYHOk526fm05v51FDnkPHdD93neh6VYaBzQ92Hzi94Oi6JfkgzQtOHzi8Bg6v+X6fcV2P7V6jaxxHGddz/KGdOwptwsxux5aYiC0pCVtiItakRGxJyV2vma9bE5MCj22JiYHn1mgtDC8iIiOffooWkdDw+8DnAb+n695r3vvc5s3r6nt/tMdelxni+Dz9H3PU87h7QqDu1/yDtw6HAFGJEJNshjwxyRCTEtxjZ4KmcR3CMAy8hhevv+fm8Xvw+D24fW7zsa/v88Drhzz2+Dy4/e4jHnuk490+d+B6gdf87sB5vH4vbp8bn+E7rG6LYWD3mUGJzWcGId3P7T4CoYx5Mw573+mDmN6v+bvPdcjYQ47rvjkOCXYcvQKc7mAnuN2pZNBYLF2hTlJPyJOUiDWxb8hjvt8V8nSNs8TGYrFYBvsTiIiIDFkKhkTCxe8Hw2eGEn6vGZz4fRF4zdsroPEeHtQc6fnRQp3+zuH39n0P/VY1ojli+wlxkrsep3Q9TukZE5UYlk4ewzDwGT78hh+v34vf8OMzfObN7ws89vt7vd71nt/w4zW8fY/tdUz3efu85u953eP3BEIZn+HrE9IcGtoEXvN58Pm8+Lwe/n979x9bVX3/cfx1zr1tqZQWWvoDpPzY+AplzcqvUqqIq1TK5lAmug2zCIhzP1oWWiCDoQNCTMnYIk4wRIOyjVUJbEgEg8Nia5gVsQYyYFRxNk2mLT+EdpQfhZ7z/ePe3t7bH5ffvb09z0dyc8/5/Drvc80lzctzz7Gar3heVzxtLdtW8xXZV67Itpo97VeuyG6+IjVbnr7mZsmyZNqSaXl+fmTanlDFZXna3N53V9tXs+TyznM3e+a6bL8+S4q0pDs6mx/Qbgc9ZvvwxnNsOJjbLVfv3jJjYmQGvPeW2bu3p693a19LqGPGxsnV13sFT0wMT9oCAOA2IRi6Wbbteelm3xW4b1sdbFt+Yyy/eVaQOW3nK3D+Nc3xa+vs5asj2Osq67Stq8P5zd7AxRu62FZrOGJbgX1Ws984u8245tZ1A8b5r2cH9vnP8R/XWUBDUHJN7A5evnZDsmW0bw/ol+Q3JmAdo2W7gzUMyVLrfKvNmi3zmm2/tWy/PttoXcfvK2zJaF2jZYztWatlDd9xve2+Y/uv4TevpRbLDqxNLWvZ3rptz1ry7Usy3LJcEbLNlpdbMiNkmW7JcMs2XZ4xhsu3bZtuWYZbMlyyDJdkmLItW7Zty75iSWct2Wcs2fbXknVKluX5ftpWs2TZsr3fRdu2A949fc3ef2Ysqdl75pb3O+89hlrWs20Z3nmtbZZMyzPHsD1XeZi2ZHhf/vum1b6tw31LMuRt967rP860vaFKy8sbhATs+727rPbtBCMIO23DnDaBTtswJ6C9TQBkREZyxQ4AAN1Y2AdD69ev15o1a1RbW6uMjAy9+OKLmjBhwnWt8c4Px+mOiGv4v1D29f5lf51/BHWwfEvTTf051XZdI0jfjax3M653rescb7Qb33rydof9V1+vdYohQ25J7mtby6/f6KCtbZW+//YdjWm3ltFhf7DjdFZv2/YO942OP79g+0aQ8zc6GWu0GdPRmv5nbnRw3m3nBcyxA4/t67Olzv5FMNTu0w4Tzd4XgB7D5ZIZHS0jupfM6Dtk9up19e3oXjJ6BW67YmIIcwAAcLCwDoa2bNmioqIibdiwQVlZWVq7dq3y8vJUVVWlpKSka15n6OeGYlxcngwAAG6eERXlfUXKjIzyhCz++3dEy+wV7QlsWraje8mIbrMd7R0TsO0JdMxevXjUOQAAuCUM277uy2C6jaysLGVmZmrdunWSJMuylJqaqvnz52vJkiXtxl+6dEmXLrU+uaShoUGpqan6aPj/KcbFo4sBAAhbLpeMiIjAl9vtee/Vq/OQxn8/yrsfGWTfr82Mimzdj4qSGRkpRURwpQ0AAOgWGhoaFBcXp/r6esXGxnY6LmyvGGpqalJlZaWWLl3qazNNU7m5uaqoqOhwTnFxsVauXNlVJQIAEB5MU4bbLbndMlwu77ZLhsvtCVdcrjZ9HY/rMJzxD2giImREtrap3bg2+5Ft5npf8rVFto7hxsQAAAA3JGyDoVOnTqm5uVnJyckB7cnJyTp27FiHc5YuXaqioiLffssVQwCA8GQbhmzT85J3W95tmaZs77tM77thSC5TMlrbDF+7y7dtmKZv3zBMyWXKML37Lk8QYvrePSGJ6XbLNFsCEs/4tu+G2yUFaTdcZvt+l9vXHtDvcnkDnQgZbldrMON2t9v2BTsdhTwt5w0AAABHCttg6EZERUUpKiqqXXt9jKErrmu77Nu+xqvDW4Zd9+/0gqxv38Sl6W3rDrz/tHHVY3e+XpCF2+m4s9PPtLPzbdMe5P7SHTe0vU/zdY83Or5/t/9n0smatt9H7dnu/LP3P45teG51HXg8v0kB89sc3/A/hucJV0abPttoueG14W1q0972v4V33zBa17P9jmP4H8fXbvhq8NzB2Xdb6IB+w/tUL8N/ngLPwehsLcPwfE7+n63pme+rxfsKWN+33xIotKzTcqzW8w0Ybxie0KBtm9qO8Z9ntlunpc0wWkIK77430DDVGl4YhinTdLXO9QYXvnffXJcM0zveMH0BiGkEjjdNV8CxDcP0hA+G4QtPjJZwxTA9H5Fp+kKWwD5Dhn8A03IO3rUMv8Cm/b7fWt6QwjfXey5yuVrHtGwDAAAAuClhGwz1799fLpdLdXV1Ae11dXVKSUm5rrUmlB8I+ns7AAAAAACAnihsrx2PjIzUuHHjVFpa6muzLEulpaXKzs4OYWUAAAAAAADhIWyvGJKkoqIizZ49W+PHj9eECRO0du1aNTY2au7cuaEuDQAAAAAAoNsL62DoRz/6kU6ePKnf/va3qq2t1ejRo7V79+52N6QGAAAAAABAe4Zt29d9f+SeoqGhQXFxcaqvr+ceQwAAAAAAoMe41swjbO8xBAAAAAAAgJtDMAQAAAAAAOBQBEMAAAAAAAAORTAEAAAAAADgUARDAAAAAAAADhXWj6u/WS0PZGtoaAhxJQAAAAAAALdOS9ZxtYfROzoYOn36tCQpNTU1xJUAAAAAAADceqdPn1ZcXFyn/Y4OhuLj4yVJNTU1QT+krpSZmakDBw6Eugwf6gmOeq6uu9VEPcFRT3DdrR6p+9VEPcFRT3DdrR6p+9VEPcFRT3DdrR6p+9VEPcFRT3DdrZ76+noNHjzYl310xtHBkGl6brEUFxen2NjYEFfj4XK5uk0tEvVcDfVcXXeriXqCo57guls9UveriXqCo57guls9UveriXqCo57guls9UveriXqCo57guls9LVqyj077u6gOXKP8/PxQlxCAeoKjnqvrbjVRT3DUE1x3q0fqfjVRT3DUE1x3q0fqfjVRT3DUE1x3q0fqfjVRT3DUE1x3q+daGfbV7kLUgzU0NCguLk719fXdMtUDAAAAAAC4EdeaeTj6iqGoqCgtX75cUVFRoS4FAAAAAADglrnWzMPRVwwBAAAAAAA4maOvGAIAAAAAAHAygiEAAAAAAACHIhgCwtD69es1dOhQ9erVS1lZWfroo48C+isqKnT//ferd+/eio2N1eTJk3XhwoUQVQvgZrz//vuaPn26Bg4cKMMw9Oabbwb0r1ixQiNHjlTv3r3Vr18/5ebmav/+/aEpFsBNKy4uVmZmpvr06aOkpCTNmDFDVVVVAWMuXryo/Px8JSQkKCYmRjNnzlRdXV2IKgZwM672na+urpZhGB2+tm7dGsLK0ZMQDAFhZsuWLSoqKtLy5cv1ySefKCMjQ3l5eTpx4oQkTyg0bdo0TZ06VR999JEOHDiggoICmSZfdyAcNTY2KiMjQ+vXr++w/6677tK6dev0r3/9S/v27dPQoUM1depUnTx5sosrBXArlJeXKz8/Xx9++KH27Nmjy5cva+rUqWpsbPSNKSws1FtvvaWtW7eqvLxcX375pR555JEQVg3gRl3tO5+amqqvvvoq4LVy5UrFxMTou9/9boirR0/BzaeBMJOVlaXMzEytW7dOkmRZllJTUzV//nwtWbJEEydO1AMPPKBVq1aFuFIAt5phGNq+fbtmzJjR6ZiWx5K+++67mjJlStcVB+C2OHnypJKSklReXq7Jkyervr5eiYmJKikp0aOPPipJOnbsmNLS0lRRUaGJEyeGuGIAN6Ptd74jY8aM0dixY7Vx48Yurg49FZcQAGGkqalJlZWVys3N9bWZpqnc3FxVVFToxIkT2r9/v5KSknT33XcrOTlZ9913n/bt2xfCqgF0laamJr388suKi4tTRkZGqMsBcAvU19dLkuLj4yVJlZWVunz5csDfAiNHjtTgwYNVUVERkhoB3Dptv/NtVVZW6uDBg5o3b15XloUejmAICCOnTp1Sc3OzkpOTA9qTk5NVW1ur//znP5I89xz56U9/qt27d2vs2LGaMmWKPvvss1CUDKAL7Ny5UzExMerVq5eef/557dmzR/379w91WQBukmVZWrBgge655x6lp6dLkmpraxUZGam+ffsGjG35WwBA+OroO9/Wxo0blZaWprvvvruLq0NPRjAE9CCWZUmSfvazn2nu3LkaM2aMnn/+eY0YMUKvvvpqiKsDcLvk5OTo4MGD+uCDDzRt2jT98Ic/9N13DED4ys/P1+HDh/XGG2+EuhQAXeBq3/kLFy6opKSEq4VwyxEMAWGkf//+crlc7Z48UldXp5SUFA0YMECSNGrUqID+tLQ01dTUdFmdALpW7969NXz4cE2cOFEbN26U2+3mvgNAmCsoKNDOnTv13nvvadCgQb72lJQUNTU16ezZswHjW/4WABCeOvvO+9u2bZvOnz+vJ554oourQ09HMASEkcjISI0bN06lpaW+NsuyVFpaquzsbA0dOlQDBw5s91jbTz/9VEOGDOnqcgG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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def error(data, simulation):\n",
" err = (data[:, 1] - simulation[:, 1]) ** 2 + (data[:, 3] - simulation[:, 3]) ** 2\n",
" total = (numpy.sum(err) / data.shape[0]) ** 0.5\n",
" return total\n",
"\n",
"\n",
"beta = 0.5\n",
"mu = 1.0 / 14\n",
"nu = 1.0 / 21\n",
"S0 = 9990\n",
"I0 = 10\n",
"R0 = 0\n",
"D0 = 0\n",
"\n",
"sim = simulation_cumulee(beta, mu, nu, S0, I0, R0, D0, 30)\n",
"plot_simulation(sim);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On regarde si on arrive à retrouver les paramètres de la simulation."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q3, Q4, Q5 : optimisation sur des données synthétiques"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 2000/2000 [00:00<00:00, 3772.51it/s]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from tqdm import tqdm # pour avoir une barre de progression\n",
"\n",
"\n",
"def optimisation(\n",
" true_data,\n",
" i_range=(0, 0.2),\n",
" beta_range=(0, 0.5),\n",
" mu_range=(0.0, 0.2),\n",
" nu_range=(0.0, 0.2),\n",
" max_iter=1000,\n",
" error_fct=error,\n",
"):\n",
" N = sum(true_data[0, :])\n",
" rnd = numpy.random.rand(max_iter, 4)\n",
" for i, (a, b) in enumerate([i_range, beta_range, mu_range, nu_range]):\n",
" rnd[:, i] = rnd[:, i] * (b - a) + a\n",
" err_min = None\n",
" for it in tqdm(range(max_iter)):\n",
" i, beta, mu, nu = rnd[it, :]\n",
" dI0 = true_data[0, 0] * i\n",
" D0 = true_data[0, 3]\n",
" S0 = true_data[0, 0] - dI0\n",
" I0 = true_data[0, 1] + dI0\n",
" R0 = N - D0 - I0 - S0\n",
" sim = simulation_cumulee(\n",
" beta, mu, nu, S0, I0, R0, D0, days=true_data.shape[0] - 1\n",
" )\n",
" err = error_fct(true_data, sim)\n",
" if err_min is None or err < err_min:\n",
" err_min = err\n",
" best = dict(\n",
" beta=beta,\n",
" mu=mu,\n",
" nu=nu,\n",
" I0=I0,\n",
" i=i,\n",
" S0=S0,\n",
" R0=R0,\n",
" D0=D0,\n",
" err=err,\n",
" sim=sim,\n",
" )\n",
" return best\n",
"\n",
"\n",
"beta = 0.04\n",
"mu = 0.07\n",
"nu = 0.04\n",
"S0 = 67e6\n",
"I0 = 100000\n",
"R0 = 10000\n",
"D0 = 10000\n",
"sim = simulation_cumulee(beta, mu, nu, S0, I0, R0, D0, 30)\n",
"\n",
"\n",
"res = optimisation(sim, max_iter=2000, error_fct=error, i_range=(0.0, 0.001))\n",
"sim_opt = res[\"sim\"]\n",
"del res[\"sim\"]\n",
"plot_simulation(\n",
" sim_opt,\n",
" dates[90],\n",
" safe=False,\n",
" two=True,\n",
" true_data=sim,\n",
" title=\"beta=%1.3f mu=%1.3f nu=%1.3f err=%1.3g i=%1.3g\"\n",
" % (res[\"beta\"], res[\"mu\"], res[\"nu\"], res[\"err\"], res[\"i\"]),\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ca ne marche pas trop mal."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Q6 : sur des données réelles"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
" 2%|▏ | 19/1000 [00:00<00:05, 188.39it/s]"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1000/1000 [00:05<00:00, 197.61it/s]\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"res = optimisation(france[180:], error_fct=error, i_range=(0, 0.0001))\n",
"sim = res[\"sim\"]\n",
"del res[\"sim\"]\n",
"plot_simulation(\n",
" sim,\n",
" dates[180],\n",
" safe=False,\n",
" two=True,\n",
" true_data=france[180:],\n",
" title=\"beta=%1.3f mu=%1.3f nu=%1.3f err=%1.3f i=%1.3f\"\n",
" % (res[\"beta\"], res[\"mu\"], res[\"nu\"], res[\"err\"], res[\"i\"]),\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ca ne marche pas super. On peut modifier l'erreur pour donner plus d'importance à la courbe des morts."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1000/1000 [00:05<00:00, 169.45it/s]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def error_norm(data, simulation):\n",
" m1 = numpy.max(simulation[:, 1])\n",
" m3 = numpy.max(simulation[:, 3])\n",
" err = (data[:, 1] - simulation[:, 1]) ** 2 / m1**2 + (\n",
" data[:, 3] - simulation[:, 3]\n",
" ) ** 2 / m3**2\n",
" total = (numpy.sum(err) / data.shape[0]) ** 0.5\n",
" return total\n",
"\n",
"\n",
"res = optimisation(france[150:], error_fct=error_norm, i_range=(0, 0.001))\n",
"sim = res[\"sim\"]\n",
"del res[\"sim\"]\n",
"plot_simulation(\n",
" sim,\n",
" dates[150],\n",
" safe=False,\n",
" two=True,\n",
" true_data=france[150:],\n",
" title=\"beta=%1.3f mu=%1.3f nu=%1.3f err=%1.3f i=%1.3f\"\n",
" % (res[\"beta\"], res[\"mu\"], res[\"nu\"], res[\"err\"], res[\"i\"]),\n",
");"
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"L'erreur est répartie sur l'ensemble de la courbe mais cela ne tient pas compte de la dynamique. Il faudrait prendre en compte les dérivées comme dans l'aticle [A Modified SIR Model for the COVID-19 Contagion in Italy](https://arxiv.org/pdf/2003.14391.pdf). Ou partir sur une approche plus directe comme celle proposée dans l'article [Estimating and Simulating a SIRD Model of COVID-19 for Many Countries, States, and Cities](https://web.stanford.edu/~chadj/sird-paper.pdf). $\\frac{dS}{dt} = - \\beta \\frac{S I}{N}$ implique que $\\Delta(S_t) = S_{t+1} - S_t = -\\beta \\frac{S_t I_t}{N}$. On peut alors calculer une sorte de $\\beta_t$ dépendant du temps : $\\beta_t = -N\\frac{S_{t+1} - S_t}{S_t I_t}$. Le problème, c'est $I_t$ qu'on ne connaît pas puisque c'est le nombre de personnes contaminantes à un instant *t*. On ne connaît pas plus $S_t$ mais on peut le déduire si on connaît $I_t$. Cela dit, le paramètre $\\nu$ est plus ou moins connu puisqu'il s'agit de l'inverse de la durée moyenne d'incubation jusqu'au décès. De là, on peut retrouver $\\beta$. On poursuit en passant au logarithme $\\ln \\beta_t = \\ln N + \\ln (S_t - S_{t+1}) - \\ln S_t - \\ln I_t$. Le nombre de cas positifs découverts chaque jour correspond à $S_t - S_{t+1}$. On ajoute que $\\forall t, N = S_t + I_t + R_t + D_t$ et $D_{t+1} - D_t = \\nu I_t$. Donc :\n",
"\n",
"$$\\ln \\beta_t = \\ln N + \\ln (S_t - S_{t+1}) - \\ln (S_t - S_{t-1} + S_{t-1}) - \\ln (D_{t+1} - D_t) + \\ln \\nu$$\n",
"\n",
"Il y a deux inconnues, $\\ln \\beta - \\ln \\nu$ qu'on suppose constant pendant la période et $S_{t-1}$. Il suffit d'écrire ces équations sur quelques jours puis de résoudre le système d'équations.\n",
"\n",
"$$\\begin{array}{l}\n",
"\\ln \\beta - \\ln \\nu = \\ln N + \\ln (S_t - S_{t+1}) - \\ln (S_t - S_{t-1} + S_{t-1}) - \\ln (D_{t+1} - D_t) \\\\\n",
"\\ln \\beta - \\ln \\nu = \\ln N + \\ln (S_{t+1} - S_{t+2}) - \\ln (S_{t+1} - S_{t} + S_{t} - S_{t-1} + S_{t-1}) - \\ln (D_{t+2} - D_{t+1}) \n",
"\\end{array}$$\n",
"\n",
"\n",
"D'autres directions sont possibles comme [The Parameter Identification Problem for SIR Epidemic Models: Identifying Unreported Cases](https://www.math.u-bordeaux.fr/~pmagal100p/papers/MW-JMB-2018.pdf) qui propose d'estimer les paramètres sur une plus grande période.\n",
"\n",
"D'autres articles : [Introduction to inference: parameter estimation](https://kingaa.github.io/clim-dis/parest/parest.html), [Data-based analysis, modelling and forecasting of the COVID-19 outbreak](https://europepmc.org/article/med/32231374), [Identification and estimation of the SEIRD epidemic model for COVID-19](https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7392128/).\n",
"\n",
"Quelques liens :\n",
"\n",
"* [CovidTracker](https://covidtracker.fr/covidtracker-france/)\n",
"* [pyepidemics](https://github.com/collectif-codata/pyepidemics)\n",
"* [COVID-19 pandemics control](https://freakonometrics.hypotheses.org/61300)\n",
"* [COVID-19 - France](https://dashboard.covid19.data.gouv.fr/vue-d-ensemble?location=FRA)\n",
"* [Awesome COVID19 resources](https://github.com/collectif-codata/awesome-covid19)\n"
]
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