{ "cells": [ { "cell_type": "markdown", "id": "cell00", "metadata": {}, "source": [ "# 01 — Entropie et pureté : de von Neumann à Shannon\n", "\n", "L'analogie du projet repose sur une affirmation précise, et il faut commencer par\n", "la vérifier : **ce n'est pas la multiplicité des possibilités qui produit de\n", "l'entropie, c'est la perte de cohérence entre elles.**\n", "\n", "Un chat de Schrödinger vivant *et* mort est dans un état **pur** : son entropie de\n", "von Neumann est nulle. Une population où chacun garde plusieurs opinions ouvertes\n", "n'est pas encore désordonnée. Le désordre naît de l'interaction avec\n", "l'environnement, qui détruit les termes croisés de la matrice de densité.\n", "\n", "Ce notebook mesure les deux entropies, montre qu'elles décrivent le même phénomène,\n", "et définit l'**Indice de Diversité Exposée (IDE)** sur cette base." ] }, { "cell_type": "code", "execution_count": 1, "id": "cell01", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:36:55.460659Z", "iopub.status.busy": "2026-08-23T13:36:55.460314Z", "iopub.status.idle": "2026-08-23T13:36:56.049418Z", "shell.execute_reply": "2026-08-23T13:36:56.048991Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from ide.entropy import (\n", " label_diversity_index,\n", " shannon_entropy,\n", " von_neumann_entropy,\n", ")\n", "from ide.plotting import PALETTE, save_figure, use_project_style\n", "\n", "use_project_style()\n", "rng = np.random.default_rng(0)" ] }, { "cell_type": "markdown", "id": "cell02", "metadata": {}, "source": [ "## La superposition est pure, le mélange ne l'est pas\n", "\n", "On construit une famille de matrices de densité à deux niveaux paramétrée par la\n", "**cohérence** $c$ :\n", "\n", "$$\\rho(c) = \\frac{1}{2}\\begin{pmatrix} 1 & c \\\\ c & 1 \\end{pmatrix}$$\n", "\n", "* $c = 1$ — superposition cohérente $(|0\\rangle + |1\\rangle)/\\sqrt{2}$, état **pur**.\n", "* $c = 0$ — mélange statistique classique, entropie **maximale**.\n", "\n", "La décohérence est le trajet de $c = 1$ vers $c = 0$. Les populations diagonales,\n", "elles, ne changent pas d'un bout à l'autre : c'est bien la cohérence, et non la\n", "distribution des résultats de mesure, qui porte l'information perdue." ] }, { "cell_type": "code", "execution_count": 2, "id": "cell03", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:36:56.050343Z", "iopub.status.busy": "2026-08-23T13:36:56.050228Z", "iopub.status.idle": "2026-08-23T13:36:56.057762Z", "shell.execute_reply": "2026-08-23T13:36:56.057386Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "c = 1 (superposition pure) : S = 0.000e+00 nats\n", "c = 0 (mélange décohéré) : S = 0.693147 nats (ln 2 = 0.693147)\n" ] } ], "source": [ "coherence = np.linspace(1.0, 0.0, 201)\n", "quantum_entropy = np.array(\n", " [von_neumann_entropy(0.5 * np.array([[1.0, c], [c, 1.0]])) for c in coherence]\n", ")\n", "\n", "print(f\"c = 1 (superposition pure) : S = {quantum_entropy[0]:.3e} nats\")\n", "print(f\"c = 0 (mélange décohéré) : S = {quantum_entropy[-1]:.6f} nats (ln 2 = {np.log(2):.6f})\")" ] }, { "cell_type": "markdown", "id": "cell04", "metadata": {}, "source": [ "## Le pendant social : fermeture du fil et effondrement de l'IDE\n", "\n", "Côté population, on paramètre un fil d'actualité par la **part $f$ du point de vue\n", "dominant**, le reste étant réparti sur trois autres points de vue. C'est la fermeture\n", "progressive d'une bulle de filtres.\n", "\n", "L'IDE rapporte l'entropie de Shannon du fil à son maximum théorique $\\log_2 k$ :\n", "\n", "$$\\mathrm{IDE} = \\frac{H(X)}{\\log_2 k}$$\n", "\n", "Cette normalisation est ce qui rend l'index utilisable par un régulateur : un seuil\n", "exprimé en pourcentage se compare entre plateformes, un seuil en bits ne se compare\n", "à rien." ] }, { "cell_type": "code", "execution_count": 3, "id": "cell05", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:36:56.058446Z", "iopub.status.busy": "2026-08-23T13:36:56.058387Z", "iopub.status.idle": "2026-08-23T13:36:56.061767Z", "shell.execute_reply": "2026-08-23T13:36:56.061399Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fil équilibré IDE = 1.000\n", "fil qui se referme IDE = 0.519\n", "bulle gelée IDE = 0.000\n" ] } ], "source": [ "dominance = np.linspace(0.25, 1.0, 201)\n", "social_entropy = np.array(\n", " [shannon_entropy([f, *([(1.0 - f) / 3.0] * 3)]) for f in dominance]\n", ")\n", "index = social_entropy / np.log2(4)\n", "\n", "# Vérification directe sur des fils d'actualité explicites.\n", "for feed, label in [\n", " ([\"complot\", \"factuel\", \"opinion\", \"satire\"] * 5, \"fil équilibré\"),\n", " ([\"complot\"] * 12 + [\"factuel\", \"opinion\", \"satire\"], \"fil qui se referme\"),\n", " ([\"complot\"] * 20, \"bulle gelée\"),\n", "]:\n", " print(f\"{label:20s} IDE = {label_diversity_index(feed, catalogue_size=4):.3f}\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "cell06", "metadata": { "execution": { "iopub.execute_input": "2026-08-23T13:36:56.062443Z", "iopub.status.busy": "2026-08-23T13:36:56.062384Z", "iopub.status.idle": "2026-08-23T13:36:56.282627Z", "shell.execute_reply": "2026-08-23T13:36:56.282086Z" } }, "outputs": [ { "data": { "image/png": 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GHyUhlZ2drdSqVUsxNTVVPv/8cyUiIkJJS0tTTp8+rftDunnz5geORVFiK8rxMjIyFGdnZ6Vt27Z6x9NqtUqlSpWUFi1a6JX/NwFT1L61bt1aAZT69esre/fuVZKTk5Xz58/rkiZ79uzR1e3cubNSpUqVB45LWYzRg+SXkPovY41RXju1a9dWdu3apaSkpCiKoigrV65UAKVq1arKpk2blMTEROXSpUu6D2VdunTRtZGXkILcD1Z5HzpWrlypODk5KSqVSrlw4YKiKPknpHbs2KHry7Zt25T4+Hjd/g4ODkqNGjV0J4FCGENqaqpSt25dxdTUVBkyZIiyePFi5cCBA7rXy/327t2rAIqrq6uyevVqJT4+XgkLC1NeeOEFBXITxnnykhe2trbKggULlOvXryuJiYnKvn37lL59++r+jueXuAgODlZUKpVSo0YN5Z9//lFiY2OVpKQkZcOGDYqHh4fi5OSkpKamKoqiKElJSQqgTJ482SDeorTzIMVNSJVUHK1bt873y+D+/fs/ckIq7++1l5eXsmnTJiUpKUm5ePGi8tRTT+ne+0o7ITV+/HjdOcPdu3eV5ORk5fjx48r48eOV/fv3K4pSMmOYlxS4/1w0L4nz8ssvK4AyatQoJTg4WElLS1Nu3LihS/7c/9kk7+/Cfz8fFKWNvISUtbW18sMPP+jGWFFykzWA0rJlS+XEiRNKSkqKsmvXLsXR0VGxtbVVHB0dld9++02Ji4tTIiIidF+w3P/ZISsrS/H29lYsLCyUBQsWKDdv3lTS0tKUkydPKu3atVMA3dg+SF4s9erVU/bv368kJycrp06d0rXx4YcfPtLx8toNCAhQ9u3bp3vs8pKvvr6+ys6dO5Xk5GQlJCRE70ukhyWkBg8erJiYmCjLly9X4uPjlcTEROXw4cPKiBEjlDNnziiKoij//POPAihVqlRR1q9fryQmJiqXL1/WfR5s06aNrr28z4OAMmnSJOXq1atKcnKy8vfffytmZmZK9erVHzqOD0pIFabdoozLgQMHFECpW7eusnnzZiUuLk5JSEhQ/vrrL8XZ2Vnx9PTUS15+/fXXuudzdHS04uHhoVSvXr1Qn1srOklIGZm7u3uB2eeGDRvqkgt5CYOaNWsavIG89dZbCqA7mVcURenVq5fi7OyspKen68qGDx+u2NjYKImJibqyWbNmKRqNRrl79+4D4/xvwuaDDz5QAL3ssKLkfvjM+1bjURJSn3zyiQIou3fvNqib96a3bt26B8b6KPJLSOUnIyNDsbS0VF588cWH1p05c6YCKAsWLHhgvbyx/OGHHwy25X3IzPsmoijPg6KMZV67VapUUdLS0vTqent7K3Xr1s33w16vXr2UypUr637PS9DMnTtXr55Wq1UcHR2VDh066Mo8PDwUR0dHXRKnIEU5fkHy4nrnnXcMtj3zzDMKoPsW51H6m3clY549e/YogDJx4kSDNvKuhnuUhNTRo0cVQHn//fcN6iYkJCgmJiYGV8n9V1FiK+rxJk+erKhUKuXq1au6sn///dcgEa4ohgmYoh4rL0ly5coVvbpbt25VAGXRokW6sqImpEpzjApSmISUscYor537v+lUFEV59tlnDRJbiqIomZmZSq1atRS1Wq07Ecv74NG0aVOD19b333+v976RX0Jq7NixilqtVq5fv24QX96VoCEhIfnGL0RZuXv3rvLee+8pvr6+unO5vCvH739+vvbaawqgrFixwqCNvNfb5cuXFUW597f9xx9/fOCx80tcvPvuuwqgHD9+3KD+H3/8oQDKjh07FEV5cEKqKO2UlOL250FKIyGV95je/2WuouSeN1avXr1MElLTpk1TrK2tlaSkpALrlMQY5iUFfHx89O4YyMnJUZydnZWmTZvmu1+7du0UPz8/3e/5JaSK2kZeQuqTTz4xqBsYGKiYmpoqkZGReuV5Ca8vvvhCrzzvC+LPP/9cV7Zz504FUD777DOD9u/cuaOoVKp8zy3zi0WlUinnz5/XK4+OjlZsbW2V+vXrP9Lx8tq9/wp0RVGU5557TgGUI0eO6JUnJSXpPns+LCH14osvKm5ubgafC/I7zn+f91qtVnfVVt4VbXmfB9u1a2fQzrBhwxRASU5OfmBMD0pIFabdooxL3vleaGioQbtLlixRAOXEiRN65f369VNMTEyUZs2aKSYmJsrhw4cf2B+RS+aQKmdMTU3x8fHhjTfeYNeuXbp5OvK0bNnSYNW9atWqAbn3sOZ58cUXiY2NZc2aNQDExcXx119/MXz4cN08AQAvvfQSrVq1olatWjz33HMsXry4wPun75c3x89/573RaDR06tSp8B3+j7xlkTt06GBwX3+/fv0ADOabKi0nT55kyJAhVKlSBVNTU1QqFebm5qSlpekmYnyQy5cvAzBgwIAH1gsLCwOge/fuBtt69uwJYDCnUmGeB48ylq1atcLCwkL3e2pqKtevX+fcuXOo1WqDdv79919u375tcE9727Zt9X7XaDR4eXnpYktNTeXWrVu0bNkSNze3AsfmUY9fkPzmacoru3r16iMfr3Pnznq/F/T6AOjWrVuhYs1P3mOaN2fC/T/29vZotdqHvj6KEltRjzdq1CgUReG3337Tlf3666+Ym5szdOjQEu9blSpVqFGjhl5Zfu+HRVWaY1QcxhwjR0dHgwmAw8LCsLKyMni9m5qa0qVLF3Jycrh27Zreti5duqBSqQzKwPB97n7nz58nJycHb29vg76//vrrQNn9bRCiII6OjsyaNYvLly8TGxvLrl27mDp1Kjt37qR169ZEREQAD/67nzd3Y97robDnEvnJe89o0qSJwetm2LBhQOFeNyXVTnGVlzjyc/XqVTQaDR06dNArNzMzo3379mUSwxtvvIG/vz9+fn6MHz+eb775Rje3WZ6SHMN27drpfU6Jjo4mNjaWY8eO5Ts/1969ex/a9qO28d/zsDw1atTA3d1dr8zLywvIPefNrzwqKkpXljde06ZNM4jF3d0dRVEKPV6enp7Url1br8zFxYXAwEDd6/1Rjufp6UnNmjX1yq5evYqtrS3NmjXTK7exsaFly5aFive9996jUqVK+Pn5MWHCBL777juDv9NhYWGYmpoafPbTaDS686W897s8/z1ngJI5dytMu0UZl7zHwtfX1+CxmDRpEmD4Wvnpp5+ws7Pj6NGjTJ8+nebNmz9yfyoSSUiVA1WrVkXJvVqNzMxMQkNDmTdvHvb29gZ1708W5Mk7uVfum7Std+/eeHt76yZR++2330hPTzeYFNHe3p69e/eyefNm6tWrx6FDh+jUqZPeiVN+7j/Ww7blLaeb3z5paWmFbjdPfhN3l7Rz587pJh+/deuWwWSQGRkZD22jMH25v95/P6Q9SGGeB48ylk5OTvnG9jD/nUy5oPiKEltxjv+oHvV4RRm3/Lap1eoye30UJbaiHq9Zs2bUqVNHl5BKTExk3bp19OnTx2CMihJXfseCwr8fFlVpjlFxGHOM8nv8ijPGRVVe/jYIUVhOTk506NCBTz75hB9++IH4+HgWL14MFO21U1rvZXkK87opL6+/8hJHfh50Llec8+KicHFx4fDhw6xbt45atWqxd+9eWrduTceOHblz506Bx/yvwo7ho5wzFucc5UFtFHSO8aC/gf/dlld+/4TdZf2cK4lz97x2CvpcUdj3FE9PT4KCglixYgXVq1dn27ZtNG7cmF69eukm3X+U96fSOncr7Gejwo7LozwW+/fv1y1+derUqYfuL3JJQuoJpVareeGFF9i1axdXrlzh+++/p0WLFjRo0CDf+o0aNeKNN95g2bJlXLlyhUuXLvHmm28W2L6Pjw8A27dv1yvPzs42WPEo7wqY/65QpigK+/fv1yvLy/CfOHFCl6T778+UKVMe1v1i+/3330lPT+eLL77g5s2bZGRkoCgKGRkZWFtbF6qNvL48bNWSvKsXtmzZYrAtr+y/VzgU5fjFGUtra2s8PDxo1qxZgW0oipLvH4HCtHvo0CGio6PL7Pj/fb7eX1ajRo0SO15Brw9Ab2WOPK6urvmuGLhv3z693/Me0zlz5hQYW36rGT5qbI9yvFGjRhEaGsrBgwdZtWoVaWlpjBo16oExlVTfCqJWqwt9FR2U/hg9qvI0RpD7mklNTTV4H9dqtezYsQO1Wk3VqlX1tu3YscOgnftfgwWpWbMmpqamREdHF9j3Pn36FCl+IcpK3gfGK1euAPee61u3bjWom1eWV6ew5xL5ydv34sWLBb5uxo8fD9xLkuT3PlCUdkpTeYkjPz4+PvmeA2dmZrJ37169MldXV8DwvDg7O5uDBw8WKw6VSkWzZs148803+eOPPwgNDeX48eO89957QOmOoaurKw4ODnTs2LHAtv/7BW9ptFGS8sZr8eLFBcazfPnyQrV148YNgxVoY2JiOH36tMHrvbjH8/HxITExkaNHj+qVJycnF2qV4TxqtZpWrVoxbdo0Vq5cyYULF9i6dSuzZs0Cct+nsrKyDJ73OTk5ur/t1atXL/TxSltRxqVmzZpoNBpu3bpV4GORt7IkwM2bNxk7dix16tThzTffZPXq1Xz77bdl0q/HnSSknmDjx4/HxMSEiRMncvbsWSZOnGhQ58UXX2TWrFmcPn2alJQUkpKS2LRpEwkJCQaXWN4v75avyZMns379epKSkrh69SqjR4/m3LlzenVtbGzw8PDg999/599//yU1NZWwsDAmTJhg8Ibw7LPPYmJiwuDBg1m9ejVRUVFkZmZy9epVVq5cSfv27fNdVr605C0tnp2dTVBQEE8//TQpKSmF2nfo0KGo1WqmTZvGV199RUREBCkpKRw+fJinn35at8xr3mX4U6dOZcWKFSQkJHDjxg2mTp3K5s2bqVGjBvXr1y9y7CU1liNHjuTo0aOMHDmS48ePk5SURFJSEkFBQcyYMeORE4TDhg0jLi6OXr16sXPnThISErh9+zbLli3j1VdfLZXjz58/n//973/ExsYSGRnJxx9/zIoVK6hWrRqBgYEldrwWLVrg5ubGt99+y/z584mKiiIqKor58+ezdOlSg/q1a9fm6tWrzJ49m/j4eKKjo1m8eDFffPGFXr1mzZpRs2ZNPvroI+bPn09YWBgZGRlERkayc+dORo4cyT///FNisT3K8UaOHIlarebXX3/l119/xdXVVXfr6YOURN8K4ujoSFRUFMeOHStU0qW0x+hRlacxgnvvXaNGjWLr1q0kJycTGhrKyJEjuXDhAh07djS40vfo0aO8+OKLXLt2jcTERFatWsVbb72ldytxfkaOHElWVhY9evRg8+bNxMbGkpGRwcWLF/nhhx/yvb1SiLL05ZdfMnz4cNatW0doaCjp6encvXuXjRs36s6/8pLdea+dl19+mTVr1pCYmMi1a9eYNGkS+/bto169evj6+gK5f8sBXn31VZYsWcKNGzdITk7mwIED9O/f/4F/x4cPH657ba1du5bo6GgyMjK4cuUKf/zxB61atdK93i0tLTE3N+fIkSN6tywVtZ3SVF7iyE/e+9f48ePZsmULycnJXL58mWHDhhmcT1eqVAkHBwd+/PFHtm/fTlpaGqGhoYwZM4bg4OBHjmH06NHMmTOHs2fPkpqaSkJCAhs2bNCdd0PpjqFarWb48OHs2rWL8ePHc+rUKZKTk0lMTOTkyZO8//77vPPOO6XeRklq37493t7evPXWWyxatIjr16+TkZHBrVu32LZtG0OHDs33i5b8KIrCkCFDOHjwICkpKZw+fZpBgwaRlJSke08oqePlPR+HDx/O7t27SUlJ4dy5cwwZMkR3tdzDDBkyhC+//JKQkBDS0tKIi4tj7dq1ZGdn655PeXGPGzeOTZs2kZyczNWrVxkzZgynT5+mdevWugRseVCUcRk5ciTZ2dn07NmTf//9l5iYGDIyMrh06RI///yz3q24OTk5DB8+nJSUFFasWMGnn35KmzZtmDJlisHnYpEPRRjVf1fZK0jepNP5TWr4v//9TwGUY8eOGWzLWwbVyckp30npevfurZt4878/90/2l9+k32PGjDHYJ2/yTrg3qbmiKMqcOXMM6lpZWelWH8mb1FxRFGXhwoWKSqUqMK68iR4fpLir7B05ciTfpcnbt2+vVK5cWenevXuh2v30008L7Mf9fc6bOC+/8bx/1ayiPg8KO5YPajclJUVp3rx5gW0MHTpUVzdvku/7l4PNExgYqDRu3Fj3e2JiYr5L8QJK7969H+n4BcmLa9CgQQb7q9Vq5Z9//inx/v7222/57p+3Atn9k5ofP34838dp5MiRCugvw3z06FHFzs6uwPhWrVr10PEoSmyPcryuXbsqNjY2ikql0lsx8X75TeJdlGO1bt1a8fHxMWg3v0UUFixYYNDWoUOHjDpGhRmP/BhjjApqJzs7W29lmvt/7OzslLNnz+rq5k1eO2DAAEWtVhvUv3/VpPwmNVeUe5MG5/fj7Oz80LETojTlTa5c0I+Hh4dy8+ZNXf289/f//pibmyt79+7VaztvAZj8fh42+fVnn332wLjun9i4U6dOetvuf08qSjsFKe4qeyUVR2lMaq4oim4l5vt/LCwslD59+iiA3gpweQva3P9jb2+v9OvXr1CPa37at29f4LgsXbpUV6+4Y5g3sfQbb7xhsC0+Pl5p0KBBgW2PGzdOV7egVfaK0kbe6y5vEYD7BQYGKoGBgQbln3/+uQKG524F9WvPnj2KtbV1gfFs2rTpgeOVF0vt2rUVf39/g/19fHyUhISERzpeQX3MycnRLYz037/NeeUPe5zzVvDL7ydvQYacnBzdc/a/P9bW1nqLoeSde3z88ccGx8p7j7t9+/YDY3rQpOaFabeo45K38nZB/cuTtxL3/Qv4XLt2TXF0dFQCAgIeODG8kEnNn3hjx44FYMyYMfneZvTtt9/y0Ucf0bBhQ6ytrXF2dqZNmzb8/vvvuoliC/Ldd9/x0Ucf4enpibm5OY0bN2bTpk353hb4xhtvMG3aNCpVqoSFhQWtWrVi165d1KlTx6DuSy+9xI4dO+jduzfOzs6YmZnh6+vLsGHD2Lt3Lw4ODo80FkXRrFkz/vrrLxo1aoSlpSXu7u5MmDCB9evX6y5rL4xp06axdu1a2rdvj62tLXZ2drq5qTw9PXX1Fi1axMKFCwkICMDc3Bw7Ozu6devG7t278530tLBKYiytrKzYvXs3n376KYGBgVhaWuLg4EDjxo2ZOXMmX3/99SPFZmtry/79+5k2bRq+vr6YmZnh5eXF6NGjWbhwYakc/7333mP27Nl4eXlhbm5Oo0aNWLduHX379i3x440YMYKVK1cSEBCAmZkZ1apV48svv+SVV14xqNu4cWN+//13atWqhZmZGX5+fvz444+61+/9mjZtSlBQEOPHj8fLywtTU1OqVKlC165d+f333+nfv3+JxvYoxxs9ejTJyckoilKo2/VKsm/5mTBhApMmTcLd3b3Qc7WV9hg9qvI0Rmq1mrVr1zJ9+nT8/PwwNTXFycmJwYMHc/jwYerVq2ewT+vWrVm7di2BgYGYm5tTrVo1Pv30U4OrAfMzf/58Vq1aRYcOHbC3t8fS0pI6deowYcIEg9sFhChrr7/+OsuXL+epp57C19cXc3NzrKys8Pf354033uDEiRN4eHjo6v/000/MmzePunXrYmZmhr29Pb1792b//v0Gk/POmjWLFStW0KZNG2xsbLC3t6ddu3b8888/D/07/vbbb7N582Z69OiBo6Mj5ubm+Pn5MWrUKA4dOqS3QMo333xD165dsbGxKVY7pam8xJGfZcuWMW3aNDw8PLCwsKB58+Zs27aNWrVqGdR9//33mTJlCq6urlhaWtK+fXt2795drNubfv31V959913q16+PlZUVrq6udOjQgdWrV/PCCy/o6pXmGNrb23PgwAFmzJhBvXr1sLCwwNHRkaZNm/Lpp58yZ86cMmmjJLVr144TJ04wevRo3UJHnp6e9OjRg5UrVxb6Cl1zc3O2bt3KgAEDsLW1xd7enqFDh7Jnzx7s7OxK9HgqlYq///6bV199FXd3dywtLWnTpg07d+7UTd7+MH/99ZduonxLS0vc3Nzo2rUrGzdu5Omnn9YdZ/Xq1cyaNUt3Duvo6MjAgQM5fPiwwWIoxlbUcfnkk09Ys2YNnTt3xt7eHgsLC2rXrs348eN10xXs27ePjz/+mKeeekrvbiRvb2++//57zp49+9DP1BWdSlEUxdhBiNIzZ84cpk2bxsWLFw1WYCgt06dPZ8aMGYSFhelWNxDCmL766itee+01goKCCpxHTQhReoKDgwkICODzzz9n6tSpxg5HCCHKzNSpU/niiy+Ijo7GxcXF2OEII8g795SJroUwZLyvEUSpUhSFoKAg5syZQ/PmzcssGSWEEEIIIYQQQgjxMJKQegLt3r2bjh076n6XywSFEEIIIYQQQghRnkhC6gnm7OzMxIkTdff5CiGEEEIIIYQQQpQHMoeUEEIIIYQQQgghhChTssqeEEIIIYQQQgghhChTkpASQgghhBBCCCGEEGVKElJCCCGEEEIIIYQQokxJQkoIIYQQQgghhBBClClJSBVCeno6ISEhpKenGzsUIYQQQohyT86dhBBCCPEwkpAqhCtXrlCvXj2uXLlSKu1rtVpiYmLQarWl0r7QJ+Nd9mTMy56MedmTMS97MublV2mfOxlLRX3OSb+l3xWB9Fv6XRGUt35LQkoIIYQQQgghhBBClClJSAkhhBBCCCGEEEKIMiUJKSGEEEIIIYQQQghRpiQhJYQQQgghhBBCCCHKlCSkhBBCCCGEEEIIIUSZMjF2AA8TGRmJVqvFw8MDtbpw+bPLly+TnZ1d4PZatWqhUqlKKkQhhBBCCCGEEEIIUQTlNiG1c+dOJk2axJ07dzA3N0ej0fD5558zbNiwh+47fPhwEhMTDcovXryIubk5ycnJmJiU264LIYQQQgghhBBCPNHKZVbm7Nmz9O7dm+eee44FCxZgYmLCl19+yYgRI3BwcKBXr14P3P/o0aMGZfv27aNdu3YMGjRIklFCCCGEEEIIIYQQRlQu55CaOXMmlpaWzJ8/X5c8eu2112jQoAHvvvvuI7X5448/AvDCCy+UWJxCCCGEEOVNQkICMTExj7x/WloaWVlZJRiREEIIIYShcpeQysnJYdOmTbRv3x4LCwu9bT179uT06dNEREQUqc2kpCRWrVpFrVq1aN++fUmGK4QQQghhdBEREcybN4+mTZvi5OSEq6srWq22SG2sX78ef39/nJycsLa2pl27dpw6dap0AhZCCCFEhVfuElLXr18nJSUFHx8fg22+vr4AnD9/vkhtLl++nJSUFJ5//vkSiVEIIYQQojz57rvvuHPnDkuWLGHIkCFF3n/btm0MGDCAQYMGkZSURGxsLJUrV6ZTp05cu3atFCIWQgghREVX7iZTSkhIAMDW1tZgm52dHQDx8fFFavPHH3/EzMyM0aNHP7RuVFQU0dHRemWhoaEAaLXaIn/bWBharZbs7OxSaVsYkvEuezLmZU/GvOzJmJe90h7zx2nOyZkzZxZr/7feegt/f39dO7a2tnz77bdUqVKFWbNm8d1335VEmEIIIYQQOuXuTEuj0QC5t+79V3Z2NlC0E8Tz589z+PBhhg4diouLy0PrL1myhBkzZuS7LSkpqcjJsMLIzs4mOTkZuNd/UXpkvMuejHnZkzEvezLmZa+0x7ww5w1PguvXr3Pq1CmmTZumV25vb0/79u1Zs2aNJKSEEEIIUeKKlJC6evUqW7dufaQD+fj40LVr14fWc3NzAyA2NtZgW94EnXl1CuOHH34ACj+Z+aRJkwwudQ8NDWXAgAHY2tri4OBQ6GMXVt43u/b29o/Vt7GPKxnvsidjXvZkzMteRR9zJTub7PQUslOT7v2kJev/m55KTkY6OZn3/WSkk5OVritXsjJQsrUo2dkoOdn//38t5OTo/q/k5ICSg4KCkpOD5/C3qdJvvLGH4LEVEhICQM2aNQ221axZk3///ZfIyEgqVapU1qEZSIpK4etuv6E2UaPWqFBr/vOviRqVOvdfjUaNiYUJZlammFqaYGZpiqmVKWaWuWW55aZY2JphaW+BpYMFlvbmWDlYYGFnjlpT7ma2EEIIIZ4oRTpjPnnyJBMnTnykAw0aNKjQCakqVapw9uxZg21nz57FxMSEgICAQh0zKyuL3377DV9fXzp27Fiofdzc3ApMeL377rts3LhR9/u8efMICgrijTfeoFGjRgDs3LmTH374gY4dOzJ+fO7JcVxcHC+99BIODg4sXrxYt/97771HeHg406dPx9HRERMTE9atW8fff//NU089xaBBgwAICwvj/fffp1q1asyePVu3/+TJk4mPj2fRokU4OjoC8P3337Nr1y7GjRtHp06dgNzH7YsvvqBhw4ZMnTpVt//w4cMB+P3330u8T7NmzaJ69eoA/PXXX+WuT0eOHGHFihVPVJ/K8+PUoEEDnnvuOUxMTDAxMXki+vQ4PE7Tp08nMTHxiepTeX6cnqj38nffJfzaNd4ZPwIPKw1ZiXf598gptp+PoH0Va9raZ5GVeJeb8cksS66Ea3YST8Xu0e3/m3MXUjUWjIjZhnVOBgB7bAO4YFmVtolnqJt+HYBwMze2ODTDO+MOPROO6fZf6tYHgAlRG3Rlm+ybct3cne5JR6mWGQXAOQtv9tnVp+nxC0x5yqRQj9OjPveeZHFxccC9qRHuZ29vr6tTUEKqLKc7yEzPJC0+vcTaexALO3Ms7f//x8ECG1crrJwtMbFR4eLljEMlW2xcrbBxtcbcxhSVSlUmcRlDRb0lWfot/a4IpN/S75JU1C9li/wVbs+ePVmyZEmR9tm0aRM7duwodP1hw4bx5Zdfcu3aNapWrQpASkoKa9asoU+fPrqTI8i9aiomJoaqVatiaWmp186GDRuIiorijTfeeKJPEoQQQojCyk5NIv70PjKibxFzIxwAbXI8p9/sQ1ZcNJl375Bs4g+mDlycO4G72ty5HeOsa4J1TZIvBRGdcgmAVBN7cKqEkpNtrO6IEpB3jqQoisG2vCkU1OqCrxYqy+kOEuKSS6yth0lPzCA9MYO4QizubGKuwdrFElt3K2wr22BX2Rq7StbYVrbGrrI1tu7WmJg/vrfyVtRbkqXf0u+KQPot/S5JRZ3uQKXkd/ZRgNWrV7N8+XJWr15dpIMUdb+4uDiaN2+OtbU18+bNw8rKio8//pijR49y5MgRvRX43n//fWbPns2+ffto06aNXjt9+vRh69at3Lhxo0i3+f1XSEgI9erVIzg4GH9//0dupyBarZb4+HgcHBwq5G0eZU3Gu+zJmJc9GfOyZ+wxVxSFrPgY0m+Hkx55jYyoCDKib+b+xOT+mxUfU6oxaCxtcn+sbdFY2mBiZYvG2k73f7WFFWpzSzRmFqjNLVGbmaM2s0Rt/v+/m5qjNrNApTFBpdHk/qvW6H5HfV+ZWo02O5vEhEQcK3lgbmN4dU9F9cwzz7BixQqysrIK9Vzctm0b3bp1Y+nSpQZTHLz88sssWrSImJgYnJ2d892/oCukBgwYwKlTp0r03CknO4e0hAxysnNQshVysnPIyftXm3sLZ4427/ccsjKyyUrNIjMti8xULVlpWWSlaclMy/r/ci0ZSblXXaUlZuT+m5CbiCppNq5WOHjY4uhth1NVB1yqO+BUzQHn6g5Y2pmX+PFKklarJSEhocLdkiz9ln5XBNJv6XdJKtUrpHr37q27daA093N0dOTw4cN89tlnvPvuu2i1Wpo0acL//vc/3RVTeVxdXalVqxZWVlZ65QkJCYSHhzN+/PhiJaOEEEKI8iInM4O022G6pFP67XDSb4eT9v+/56SnlMyB1GrMHFwxdXDDzNEVE3tnTO2cMLF1zOdfR0xsHTGxsstNGpUhtVaLicoMjYXVwyuLAgUGBqJSqTh37pzBtpCQEDw9PQtMRsGDpzvIu1W7xJiAmZtZybVXgJzsHNITM0j9/wRVyt00kqNTSIhMIvZGHJmJWlJi0kiOTiUpKoWs9Iff+pAcnUpydCo3Tt8x2GblZIlLdQecqzngXN0R1xqOuNV0xrmaAxqT8jGXlUajKfnH8zEg/ZZ+VwTSb+m3sRQpAktLS4Pb4kprPycnJ+bOnfvQeq+++iqvvvqqQbm9vT3BwcFFOqYQQghhbIqikBlzi9QboaTduExaRCipNy6TdiOU9DvXIZ9VaAtNrcHcuTLmrlUwd/XAzMUDMyd3zBzdMHV0u/d/O+cyTy6JspOUlERGRgbOzs6oVCrc3Nxo3749a9eu5fPPP8fU1BSAmzdvsn//fl555RUjR1z21Bo1Vo6WWDnqn7/mdyWkoihkJGeSeCeFhJuJxN1MIv5mIvH3/ZsYmYySU/BNCal307h+N43rJ27rlWvMNLrklHstZ9z8cv919LJHrZbpKIQQQjzeip0Sy8zMJDMzExsbGwDS09P55ptviI6OZty4cdSoUaPYQQohhBBPGiUnh/Q710m9doGU8HOkhp8n9doFUm9ceeQrnTRWdlhUropl5WqYu3vnJp5cPDB39cTcrQpmju6SaHpCZWRkkJSUBOSem0HuisUajQZTU1O9+TdHjhzJunXriIuL060e/MUXX9C2bVvGjBnD9OnTSUlJ4aWXXsLDw4N33nmnzPvzOFGpVFjYmmNha46br1O+dbKzskmMTCbuRiJ3rycQczWO2PB43Y82I/952LIzs4m8EEPkBf3bbU0tTHD1c6JyXVc86rnh4e9GpToumFmalnj/hBBCiNJS7ITUc889R9++fXnmmWcAGD16NCtXrgTghx9+4PLly9ja2hb3MEIIIcRjK/PuHZKvBusln1LCLxQ98aRSYe7uhaVHDSwqV8OyUjUsKlfFolI1LCpXw8TWURbxqKBWrVrFlClTdL87Ozvr5m5q3bo169at022zs7PD2dlZb6LyRo0aceDAAWbOnEmXLl0wMTGhU6dOrFy58oG364nC0ZhqcPSyx9HLnhotvfS25eQoJN5OIjY8npiweGLD4ogKvUvU5bsk3ErKt72sdC23zkZx62wUJ1aEAKBSq3D1cdQlqCr7u1K5riuW9hal3j8hhBDiURQrIXX79m327dvHsmXLAIiOjmbVqlV8+eWXjBo1il69erFs2TImTpxYIsEKIYQQ5ZmSk0Paraukh4WQHHqG5CtnSA49Q1ZcVJHaMbF1wNLTDytPPyy9fLH09M39f5UaqM3kw6UwNGLECEaMGFGour/++mu+5Q0aNODvv/8uybBEIajVKhyq2OFQxQ6f1t5629ITM4i6HMudS7HcuRib+/+LsSTHpBq0o+QoRF3OTWSdWnNBV+5SwxHPBpXwalgJrwaVqFTbBY2pXCkphBDC+IqVkAoJCcHf31/3beyuXbuwsrJi0qRJmJmZMWbMGM6cOVMigQohhBDliZKTQ1rEZZIunST58mmSLp8m+coZctIKvyy9iZ0T1tX9sa5WB6tqdbCuWhtLr5qY2jvLlU5CCCzszPFu7IF3Yw+98pS7aUReiOF2SBS3QqK5FRxFzJW75Ld2dszVOGKuxnHq7/MAmJhrqFLfHa8GlfBqWBnPBpWwr2wj7zlCCCHKXLESUiqVitTUe9/Q7Ny5k2bNmmFmlrv6iYWFBWlpacWLUAghhCgHMmJukXThBEkXT+T+e+kU2amJhdpXbWGNdfW6uT/V6uYmn6rVwdTBVT4ECiGKzNrJEp9WXvi0unf7X2ZqFpHno3UJqlshUURdiiU7S38hBG1GNteO3eLasVu6MrtKNlRr6kG1ZlWo1twTV18nmTRdCCFEqStWQqpOnTocPXqU/fv34+bmxooVK3jzzTd12y9dukTt2rWLHaQQD/Lvv/9iY2NDu3btjB2KEOIJkZ2eStLFkySeP/r/SaiTZMbceviO5F71ZOMbiI1v/f//CcTSo4ZMJi6EKFVmVqYGV1NlpWu5fS6aiKDbRARFcuNUJHE3DBPpiZHJnFl/iTPrLwFg6WBxL0HVrAqutfKfrF0IIYQojmIlpDw8PBg5ciRt27YFwNHRkbFjxwKQk5PDmjVr2LhxY/GjFDqbN2/G1taW1q1bP3Ib4eHhhISEkJSURKVKlWjRogUWFo/nnCTHjx9n/fr1zJ49W69827ZtWFhY6J6bovD27NlDVlYWXbp0KZPj7dy5E7VaTYcOHcrkeELkJzMumsSQwyQEHyYx5DDJl0+hZGsfup+pgyu2tZtgW7MBltX9yXatikuNOpiaykpXQgjjM7UwwbtRZbwbVdaVJUWlEHEqNzkVEXSbG6fvkJmapbdfWnw657dd5fy2qwCYWZtSOcAFv7bV8GtbDQ9/V9QaNUIIIURxFHuVvaVLl9KnTx9u3rxJ7969qVSpEgC3bt3ipZdeokaNGsUOUtxz/Phx3N3dHzkh9dVXX3H69GnatGmDi4sLO3fuZNWqVbz99tt4e3s/vIFyJDExkZ9//plXXnkFJyf9b+5OnjyJra2tJKQewZkzZ0hPTy+zhNSpU6ckISXKlKIopN28QsLZgyT+fwIq7eaVh+6ntrDGtmZDbGs3wrZWY2xrN8bc1VN3y51WqyU+Pl5uwRNClGu2btbU7eZD3W4+AGRrc4i8EEP4kRuEH71J+LFbpN7Vn3IjMyWLa4dvc+3wbbZ/fghLe3Oqt/DEp403Pq28cKkhK3wKIYQoumIlpKKiorhz5w79+vUz2Obp6cmQIUM4e/YsAQEBxTmMKEGJiYnMnDkTL6/cOQf69OnD+++/z7Jly3j33XeNHF3RxMTE8MILL1CnTh1jh/JEad++PdnZ2cYOQ4gSoygK6beuEn96P/Gn95Fwej+Zsbcfup+Vdy3s/JtjW6cpdrUbY+VdW267E0I8cTQmaqrUc6NKPTdaj2uEoihEX4nLTU79/0/CrSS9fdISMji35QrntuQm8+0q2eTOadXGG9823ti6WRujK0IIIR4zxUpI7d27l+XLl7N69epH2i6Kb//+/aSmptKwYUNOnDhBXFwcnp6etGrVCk0+H5ymTJmCnZ2d7neNRkPNmjU5fvx4WYbNgQMHSEpKon79+pw5c4a7d+9SpUoV2rRpQ1ZWFgcOHCAyMhJnZ2c6dOhgcEthZGQkISEhJCQkEBkZSZs2bbCysirweMHBwbo+ajQabGxs6NixIw4ODro6Fy9e5NixYwwaNIjDhw9z584dHBwcaNu2LdbW+idW58+f5/Tp0wAEBASgKArnz59nyJAhujqKonD69GkuXbqEVqulbt26NGjQ4IHjEhoaysGDBxk4cCDHjx8nMjJSF4OVlRUnTpzg8uXLWFlZ0apVK9zc3HT77t+/n9DQUCB3QYHKlSvTsmVL3SIDmZmZrFq1Cl9fX5o3b67b7+TJk4SEhDBo0CCsrKyIi4sjK+vepfsnTpzgxo0btGrViqCgIGJiYnB3d9ddfXbo0CFu3ryJvb097du3x8bGRrfvxo0biY6OJicnBxMTE/z8/GjevDlqtVzmL0qPoiikR14j4fQ+4k/tI/7MfjKjbz5wH5WpGbY1G2FfrwV2/i2w82+OqZ3MmSKEqHhUKhVuvk64+TrRbFjul8rR4Xc5t+sykafucvVgBMnRqXr7JEYmE/T3eYL+fyU/j3pu1OxQjZodquHZoBIaE/m7L4QQwlCxb9l7kMzMTExMSvUQFV5wcDCnT59my5YtNG/eHHNzc5YvX87x48d57bXXDOrfn4zKExoaqrvVsqycO3eOEydOsHnzZtq0aYOJiQm//vorR48eJTo6mlq1auHq6squXbvYt28fH3/8sS6JsWfPHn744QcaNGiAj48PR48e5d9//2XGjBnY29vnezwbGxs8PHIn+UxLSyM4OJhNmzYxffp0XXlERARbt27l1KlTBAQE4OjoyL59+9i6dSufffaZLrGzadMm/vjjDzp06ICTkxO//vorGRkZaLVaXUJKq9XyxRdfcPnyZTp27Ii5uTlLly6lWbNmPPfccwWOy82bN9m6dStBQUE0bNgQe3t7tm7dyvbt26lUqRJqtZqaNWty/vx5NmzYwNy5c3W3Kzo4OOj6kpqayo4dO1i3bh2zZs3CysoKMzMz3N3dWbJkCS4uLvj4+HDjxg0WLVpE//79dQm9/96yd/nyZXbs2MHOnTtp1aoV5ubmrFy5kkOHDpGWloaXlxdVqlTh8OHDbN++nTlz5ujGysXFBVNTU7Kzs4mJiWHVqlXs2LGDd999V5JSokRlJd4l/tRe4k7sJO7ELjLuXH9gfY21PfYBLbGv1xI7/xbY1myA2uzxnEtPCCFKm6OnHf59fWg9sjEajYbo0LuE7r/OlQMRhB25QUZSpl79W8FR3AqOYveio1jYmePX1puaHarh176aXD0lhBBCp8jZorS0NGJjYwG4e/cuaWlp3Lhxw6BeQkICK1eupFq1asUOUjxYeno6H3/8MS4uLgD4+Pgwd+5cYmNjcXZ2fuC+W7duJTw8nFdeeaUsQtWTF7erqyuQe1XPihUrGDduHJ06dQKgSZMmvPnmm1y8eJE6deoQHR3NDz/8QNeuXRk5ciQAffv2Zfr06axdu5bRo0fne6xq1arpnotarZbWrVvzyy+/sHbtWiZNmqSrl52dzbBhw2jUqBEAHTt2ZPLkyQQFBdG8eXMSEhJYtWoVw4cPp0ePHgD07NmTqVOn6h1v48aNnD17lo8//pjq1asD0KxZM959913at2//wLnVFEVh2LBhNG3aFIDatWszc+ZMfH19mThxIgC9evXilVdeYd++ffTv3x+AevXqUa9ePV07ffv2Zdq0aWzfvl13W22XLl24dOkSCxYs4IMPPuDrr7+mTp06+d52e7+0tDQ++OAD3TxjTk5OfP/99zz99NO647dv355JkyZx+vRpXex5V2Llza3Tr18/3njjDU6ePEmTJk0eeEwhHiRHm0XShePEHd9J3ImdJF06CTk5BdbXWNliH9AK+8A2OAS2xcanvtx+J4QQj0ClUuHm54ybnzOtnmtItjaHm2fucOVgBFf2XePaidvkaO+9H6cnZnB242XObrwM5F49VatTdWp3qUGVADeZe0oIISqwIiekNm7cqHdbEqCbj+i/LC0t2bVr16NFJgrN29tbl4yCe49HTEzMAxNSp06dYtmyZXTp0kXvFq78/Pzzz0WOKyAggMaNGxe43cvLS5eMAnRX9zRs2FBXVrlyZVQqlS4JGhQURHZ2Nr1799bVUavVtGvXjjVr1hSYkILc1QXPnj1LXFwcqampJCQkEBMTo1dHo9EQGBio+93W1hZ7e3tdvcuXL5ORkaE3WbqFhQVNmzbl2LFjurJjx47h7++vS0ZB7uNUo0YNjh49+sCElEql0oshv3HRaDS4u7sbxB8SEkJoaCiJiYlkZ2eTk5NDRESEXp2xY8fy4Ycf8vbbb2NjY8PEiRMfejLo4uKiN+l9fjHZ2dlhY2OjF1NOTg4nT54kPDyc2NhYTE1NMTExISIiQhJSosjSbocTd2wbcSd2EX9qL9mpSQXWVVtYYx/QEofAttgHtsXWLxCVRq7YFUKIkqYxUetW8uv4UjPSEzMIPXCdS7vDubQ7nKQ7KXr1866e2rXgCHaVbKjdpQZ1u9agegtPTMzlfVoIISqSIr/rN2zYkIULFwK5CY0TJ04wbtw4vToqlQpnZ2fatm1LlSpVSiZSUSBzc3O93/NuhXrQxNQXL17k66+/pkWLFg9M4uTJS0AURX63B96voLjzbveC3OeSSqXS9SUhIQG1Ws0///yjt290dDTx8fFkZmbq7Z9n3bp1rFu3jpYtW+Lq6oqNjQ1JSUkGV/eZmJgYzL2lVqv1jq/RaAzmlPpvXxMSEsjKyjJI5CUmJhIdHZ3veNzf5/v7kN+45JXn3HdFyKJFiwgJCaFly5Y4OTlhZmZGaGgoqan68zxYWFhQv359Nm3aROfOnfXmfCpIYR6r/8aUlZXF7NmzSUxMpHHjxjg5OWFjY4OpqalBTELkJ0ebRWLIEe4e3cLdI1tJvXah4MpqNbY1G+HYuBOOTTphW7sJahPTsgtWCCEEABZ25tTr6Ue9nn4oisKdCzG65NR/r55KjEzm6LIzHF12BnMbM/zaV6VOVx9qdayGpb3cRi2EEE+6IiekfHx8eOmllwA4e/YsQUFBjBo1qsQDE6UnLCyMzz//nMDAQF588cVCzeXTrVu3Mojs4ZycnFCr1QYJMg8PD72riu6nKAobNmzgmWeeoVu3brrbx+7evZvv7aYP4uzsTHZ2NvHx8XoTot+9e9cgTo1Gk2+c918VVlJiYmI4dOgQ7733HnXr1tWVHzp0yKDu6dOn2bx5Mx06dGDTpk00bNiwVFYqPH/+PJcvX2bRokXY2toSHx+Pvb0969atK/FjiSdHVkIsd49t5+6RzcQd34E2OaHAuuZuXjg26YRj4044NGgnk5ALIUQ5o1KpqFTHlUp1XGk3sWnu1VP7r3Nh+1Uu7AwjLT5dVzcjOZPgjZcJ3ngZtUZFteae+Pf0xb+7r8w7JYQQT6hiXRcbEBBAQEBAScUiysCNGzf47LPPqFOnDi+99NJjN7F0kyZN+PPPP7G2tqZ169a68szMTM6dO5fv1VGQe+vY/SvHxcTEcPjwYYMrnR6mVq1a2NnZsXnzZp555hkgNxl1+PBhvauI2rVrx7p162jatCmOjo668sjISDIzMw3aLS5FUYDcuZryhISEcPnyZb1EXWxsLEuWLKFXr14MGzYMyL2y6pNPPilwQviSjGnnzp0kJRV8m5WomFIjLhNzYD13D20m8cKxAueCUptZ4NCgHY5Nu+DYpDOWVXxk7hEhhHiMWNiZU6+XH/V6+ZGtzeH68Vuc33aF89uucvf6vS8gcrIVrh6M4OrBCDZ8uIuqTatQr7cf/j18sXN/+JXdQgghHg8lcqP2pk2b2L59O7du3dJ9CM3TokULpkyZUhKHESVg3rx5pKamYmdnx7Jly/S2jRkzxjhBFYG9vT2vv/46ixcvZtu2bXh4eJCUlERERARdunShQYMGBvuoVCr69evHypUruXz5Mmq1mrNnz+Lq6lrkW8csLS157rnnWLx4MaGhoTg5OXHhwgUqVapEQsK9E6nOnTtz584d3nrrLerWrYu1tTV37twhKSlJbxL1kuLq6kqrVq1YsGABjRs3JjU1lYsXL+qtnqjValm4cCGVK1dm6NChAIwePZqwsDAWL17MtGnTSjRB6e/vj6+vL9OnTycgIIA7d+4QFRWld2WZqJgURSH50kliDmwk9sAGUq9fLLCuuasnTs274dS8Ow4N2qGxsCrDSIUQQpQWjYma6i08qd7Ck57vtyPq8t3c5NTWK9w4fUdXT1Eg/OhNwo/eZOP03Xg39qBeLz/8e/piX9nWiD0QQghRXMVOSL3zzjt89tln2NnZodVqMTExITExEXNzcypVqqRbkl6UjO7du2Nlde8DWZs2bUhPT9erY2lpyejRo/WSEXn69eund8WKsbRq1cogGeTl5cXo0aMN5isaNWoUfn5+ut/r1q3Ll19+yfnz54mNjcXBwQE/Pz9sbe+dlHTt2hVT03vzx/Tv358GDRoQFhaGSqWiR48eqNVqbt++ratTu3ZtRowYYRDr4MGD8fT01P3erFkzfHx8CA4ORqVSMXjwYLZs2cKFC/rz2wwbNozu3btz8eJFMjMzad++PX5+fg9M+vj5+RncAmtubs7o0aMNFg/473Nh8uTJXLhwgVu3bmFtbc0LL7xAeHi47vGOiYmhVatWNGnSRDdPlpmZGa+99hpBQUHExsbi6upK+/bt9eYfa9y4sd6E5gBubm6MHj3aYO6soUOHUrVqVSB3Pq6PPvqIs2fPEhUVRa1atWjWrBlnz57Vu2qsU6dOcpVLBaBka4k/c4DYAxuIObiRzOib+VdUq7Gr00yXhLKu7i/PDyGEeMKpVCrcazrjXtOZDpObkXgnmXNbrxC88TLhR2+i5OR+4a0ocO34La4dv8XGmXvwblSZgD41CehTU27rE0KIx5BK+e8lTUUQExND5cqVWbduHampqSxfvpzVq1cTERHBZ599ho2NDXPmzCnJeI0iJCSEevXqERwcjL+/f4m3nzenkYODAyYmsrpIaSvueF+/fh13d3dd4iwhIYF33nmHtm3b8uyzz5Z0uE8EeY6XvfIw5jlZmcSf3E30njXEHt6ENiku33pqc0scm3TGpXVfnJp3e2zngioPY17RyJiXX6V97mQsFfU5Z8x+J0enELLlCiGbLnP10A1dcup+KrUKn9ZeBParRd3uvljYmefTUtHJ4y39rgik39JvYypWBEFBQdSvX59evXqxevVq3e16Xl5eLF68mBEjRrBmzRoGDhxYIsEKUR4kJiby1VdfUb16dRRFITg4mKpVq9K/f39jhyaE0eVos4g/tZfoPX8Te2AD2qT4fOuZ2Dri3KInzm364Nioo9yKJ4QQIl82rtY0H1Gf5iPqkxKbmnvl1L+XuXowgpzs/79yKkchdN91QvddZ917O6nVuTqB/WtTs0M1TC2M/4FLCCFE/or1Dp2YmKi7lcfMzIzExES97d27d2fTpk2SkBJPlHr16jF9+nQuXrxIeno6vXv3xsfHx9hhCWE0SraW+NP7id7zNzH716NNvJtvPTPXKri06o1z6z441G+NSiMfEoQQQhSetbMVTZ8NoOmzAaTGpRG8KZQz6y4QduTebeDazGxCNoUSsikUc1sz/Hv40mBgHaq38EStllvAhRCiPCnWpwFFUXRz0Xh7exMUFERmZqZupbOLFy8aTHIuxJPAzs6Opk2bGjsMIYxGURQSQw4TtXMVMfv+ISs+Ot965m5euLYfgEu7gdjWaiTzQQkhhCgRVo6WNBsWQLNhAcTfSuLshkucXneB2yH3/h5lJGVyctU5Tq46h0MVWxo8VYdGg+riXM3BeIELIYTQKbGvp+vXr4+1tTW9evVi+PDhhIWF8cUXX/Ddd9+V1CGEEEIYWer1S0TtXMmdHSvIiLyebx0zFw9c2w/Etd1AbOs0kSSUEEKIUuXgYUvbFxrT9oXGRIXe5cw/Fzm97gJ3r91bATn+ZhK7Fx5l98KjVG3iQcPBdQno5Vdi800JIYQoumIlpOrUqcPgwYMBUKvV/PrrrwwZMoQdO3YAMHbsWIYPH178KIUQQhhNZlwU0bv+4s6OFSRfCsq3jplTJVzaDcC1/UDs6jZD9YDVJIUQQojS4ubrRJfXW9L5tRbcOH2HU2vOc3rdRdLi761KrVupb/pu6nb3odHgutRo5YVaI3+7hBCiLBUrIeXv76+3ckr79u25ceMGly5donLlyjg7Oxc7QCGEEGUvOy2FmIMbidqxgrgTuyAn26COia0Dru0G4tppCPb1WkoSSgghRLmhUqnwalAJrwaV6PleOy7uDOPk6nNc2h1OjjYHgKx0LafXXeT0uovYV7ah0RB/mgz1x6GKnZGjF0KIiqHEZ5Q1MzOjXr16Jd2sEEKIUqYoCknnjxG5ZRnRu/8mOzXJoI7K1Azn5t1x6zwUp2bdUJvJrQ5CCCHKNxMzDf49fPHv4UtyTCqn113g5OpzRJ6P0dVJuJ3MrgVH2L3wCH7tq9HkmXr4tvcyYtRCCPHkK5GE1JUrV9i+fTsRERGkp6frbatfvz6jRo0qicMIIYQoBZl373Bn+3IiNy8jLeJSvnXsA1rj1uVpXNr2x9TWsYwjFEIIIUqGjYsVrcc1ovW4RtwKiSLor/OcWnuB1LtpACgKXNodzqXd4di4WlGnd3VajWyEm4/c+SGEECWt2AmpWbNmMWPGDLRaLSqVCvV/btkYNGiQJKSEEKKcydFmcffIFiI3L+Pu0a353pJn6emLe9dncev8NBbu3kaIUgghhCg9Hv5uePi70X1aG85vu8Lx5cGE7ru3YEdydCrHfg7h2M8h+LT2oskz9ajb3RcTM40RoxZCiCdHsRJSYWFhfPjhh7z55ptMmjQJT09PNBp5gxZCiPIq9UYokRt/4s725WTFxxhs11ja4Np+IO49RuZOTi4r5AkhhHjCmZhpCOhdk4DeNbkbkcCJFSGcWBlCUlSKrs6VAxFcORCBjYsVTZ6tR7NhAdhXtjVi1EII8fgrVkIqODiYJk2aMGfOnJKKRwghRAnLycok9uAGbm/4ifhTe/OtYx/QGvceI3Bt2x+NpXUZRyiEEEKUD05e9nSd2opOU1pwflsoh38/TfjBWyg5CgDJMansXniUvUuOUaerD81H1qdGKy/5AkcIIR5BsRJSVapUwdxcJrQVQojyKDMqgmtrFhC19Q+y4qMNtpu5eODebRiVug3DsoqPESIUQgghyieNiZraXWtQqakTqlQNp/6+yLE/z5J0J/eqqZxshZDNoYRsDsXVx5HmIwNp+FQdLOzks5EQQhRWsRJSjRo1wsnJiRMnTtC4ceOSiknPjRs30Gq1eHl5PdLtgFqtlps3b2JjY4Ozs0xGKIR4sinZWmIPb+bW+h+IP7krd3bW+6nVODfvQeXez+HYpDMquc1aCCGEeCB7D1s6T2lBh8lNOb/9Kkd+Pc3VQzd026OvxLFh+m62zj1Ag4G1aTG6Ae415XOHEEI8TLESUpGRkQwfPpwJEybQrl07GjdujL29vV6dypUrP1Kyatu2bUycOJH4+HjMzc3Jzs5m7ty5hZ4gPSMjgw8//JDvvvsOGxsbIPeKrgULFtC0adMixyOEEOVZZlw0t//9mdsbfiQz5pbBdjMXDyr1HEXlnqMwd61ihAiFEEKIx5vGVEO9nn7U6+lH1OVYDv92hlN/nycjOROAzNQsjv5+lqO/n8W3rTetxjbEr3011Gq5nU8IIfJTrITU/v37GTp0KAAnTpzIt86gQYNYvXp1kdo9ffo0ffv25fnnn+err75Co9GwYMECxowZg5OTE3369Hng/jk5OfTv35+IiAj27duHv78/AMePH+fkyZOSkBJCPDGSLp7k5rpvid79F0pWpv5GlQqHxp3x6DsW5+bdUWmKvbCqEEIIIQA3P2f6zexI97dac2rNeQ7/doaoS7G67aH7rhO67zouNRxp9VwDGg6qi5mVqREjFkKI8qdYn046duzIvn37HljHxcWlyO1+/PHHWFlZ8fnnn+tu03vllVf45ZdfeO+99x6akPr222/Ztm0bISEh1K5dW1fepEkTmjRpUuR4hBCiPMnRZhGzbx231i4l8dxRg+2mjm64dRuOZesBuPnVw8REElFCCCFEaTC3MaP5yECajahP+JGbHPrlFOe2XNFNgh5zNY5/PtjFtnkHafpsAC1GB8rqfEII8f+K9SnF2dmZNm3alFQsQO7VTZs2baJbt25YWFjobevRoweffPIJ169fx9vbu8A2li5dSsuWLalduzZxcXFER0fj4eGhu3VPCCEeR5lxUdze+DO31/9A5t1Ig+22tZtQZeCLuLTtT45KTXx8fNkHKYQQQlRAKpWK6i08qd7Ck7sRCRz+5TTHVwSTkZR79XJaQgZ7vznO/u9OUK+XH63GNcKrQSUjRy2EEMZV7r42v379Oqmpqfj4GK745OvrC8D58+cLTEilpqZy5swZ+vXrR8+ePdm7dy9OTk5ERkYyYMAAvvnmmwdObh4VFUV0tP5qVKGhoUDuBOlarfZRu1YgrVZLdnZ2qbQtDMl4lz0Z8+JJCT/Prb8XE7PrLxSt/m15KhNTXNoNoFK/57GtlTtfXw4y5sYgY172SnvM5epCIcSjcPKyp9f77eg8pQUnVoVw6KdT3L2eAOSuzndm/SXOrL9E9eZVaPtiE2p2qIZKJfNMCSEqniKdaR04cIB9+/Yxbdq0Ih2kKPslJOS+WdvZ2Rlsyyt70Lf+MTEx5OTksHbtWp566imio6OxsrLi0KFD9OjRgwEDBjzwNsMlS5YwY8aMfLclJSWVyhUH2dnZJCcnAzzSSoKiaGS8y56MedEpikJK8EFiN3xHyhnD9ywTB1ccuwzHsfMzmDi4ko3+e6OMedmTMS97pT3mjzLtgBBC5DG3MaPVcw1pMSqQCzvCOPhjEGGH763OF3bkJmFHbuJey5m2LzQmoG8tTMzk74cQouIoUkLq9u3bHD9+vMgHKcp+eSeU2dnZBtvyykxNC54QMG9/jUbDN998g5WVFQAtW7bklVdeYdasWRw8eJBWrVrlu/+kSZMYMmSIXlloaCgDBgzA1tYWBweHQvWjKPK+2bW3t5dvY8uAjHfZkzEvvJysTGL2ruHWX4tJDQsx2G5TqzGV+7+Ac5t+qE3NCmxHxrzsyZiXPRlzIcTjQK1RU7ebD3W7+XArJIoDPwRx5p+L5GhzALhzMZbVb2xl27yDtBrXiKbP1MPcpuC/8UII8aQo8tnbgQMHHjqp+H9FRkZSrVq1QtV1d3cHIDY21mBb3q10eXXy4+LigkajwcvLC1dXV71tjRvn3s5y7ty5AhNSbm5uuLm55bvNxMSk1E54NRpNqbYv9Ml4lz0Z8wfTJsdze+PP3FzzDZmxt/U3qlS4tOmL5+CXsavbrNBtypiXPRnzsidjLoR4nHj4uzFkfne6Tm3FwR+DOPbnWTJTsgBIuJ3Mpll72fX1YZqPDKTlmAbYulkbOWIhhCg9RTp7c3BwwN3dnRs3bjy88n9Ur169UPVcXV3x8vLizJkzBtvOnj2LqakpAQEBBe5vbm5OQEAAN2/eNNiWkpICoLtqSgghjC0j5hY3Vi8m8t+fyU5L1tumtrCiUvcRVHlqIpYeNYwUoRBCCCFKmoOHLb3eb0fHl5txdNkZDv50iuSYVADSkzLZs+QYB74/SaOn/Wk3oTGOXvZGjlgIIUpekRJSXbp04dSpU6UUyj3Dhg1j3rx5hIWF6RJZKSkprFmzhr59++rNLxUVFUVUVBQ1atTQJZpGjRrF66+/ztGjR2nW7N7VBOvXr8fU1JR27dqVeh+EEOJB0m5eIWLFV9zZ9ieKNktvm6mjG1X6v0DlvuMwtXMyUoRCCCGEKG2W9ha0n9yMVuMacWrNefZ9e4LYsHgAtJnZHF12huPLg2kwoDbtJzXFpYajcQMWQogSpDZ2APmZNm0avr6+DBgwgC1btrBv3z6eeuopFEXh888/16u7YMECAgICOHnypK5s8uTJtG7dmiFDhrB8+XIOHjzI66+/zsqVK5k1axaenp5l3SUhhAAg+Wow52eP5djYJkRu+lUvGWVVtTY131hE82XBeA9/U5JRQgghRAVhamFC02cDmLJ9FMO+6YNn4L0pSnK0OZxcfY6vOv/C8pf+JfJ89ANaEkKIx0e5nHDBwcGBw4cPM3fuXGbOnIlWq6VJkyZ8//33eHl56dV1d3fH398fa+t791ebmZmxfft2Fi5cyNKlS0lISKBGjRr8+++/9OjRo6y7I4QQJIQcIeLPL7h7ZIvBNru6zfB69g2cmneXZZ+FEEKICkytUePfw5e63X24ejCCXQuP6lbmUxQ4u+ESZzdcok7XGnR4qRmegZWMHLEQQjy6cpmQgtyk1CeffPLQei+//DIvv/yyQbmFhQVvvvkmb775ZmmEJ4QQD6UoCnEndhLx53wSzuw32O7YuBNez76Bff3WkogSQgghhI5KpcKntTc+rb25dvwWuxcd5dLucN3289uucn7bVXzbetPp1RZUbeJhvGCFEOIRlduElBBCPK4URSHu+A6u/fYZSeeP6W/8/xXzvJ55HduaDY0ToBBCCCEeG1WbeDD65wHcPHuH3YuOcm7LFd220H3XCd13Hd+23nSe0gLvxpKYEkI8PiQhJYQQJeSBiSi1BvfOQ/EaOgWrqrWME6AQQgghHltVAtwZvrQvdy7GsGfJMc6sv4SSowD3ElN+7avS+bWWeDWQW/mEEOWfJKSEEKKYHpSIUpmaUanHSLyefhWLSlWNFKEQQgghnhTutVx4+uuedJrSgt2LjnJqzQVdYurynmtc3nONmh2r0fm1lnjWd39Ia0IIYTySkBJCiEeUN0fU9d8+I/HcUb1tuYmoUXg98xoWbrKypxBCCCFKlkt1RwZ/0Z0Ok5uxa+ERTq+7qEtMXdoVzqVd4dTuUoPOU1rgUc/NyNEKIYQhSUgJIcQjiDu5m2u/zJZElBBCCCGMyqWGI0O+7EGHyc3YueAIZ9dfRMnNS3Fh+1UubL9K3e4+dHmjFe41nY0brBBC3EcSUkIIUQSJ548T/tNM4oP26JVLIkoIIYQQxuTq68TQBT3p+HIzdn51mOB/L+sSU+e2XOH8tqs0GFibzlNa4Ohlb9xghRACSUgJIUShpISdI/yX2cQe2KBXLokoIYQQQpQnbn7OPLO4N3cuxrDz6yME/3sZACVHIeiv85z55yLNhtenw+Sm2LhaGzlaIURFJgkpIYR4gLTbYVz79TOidqxA9zUjgFpDpe7D8R7xtiSihBDlQkJCAkuWLOHEiROYmJjQqVMnxo4di4lJ4U73goOD+fXXXwkLC8PMzIxatWoxfvx4PDxkGXkhHkfutVx4dklvbgVHsfXzA1zecw2A7KwcDv18ihMrQ2g1tiFtnm+Epb2FkaMVQlREamMHIIQQ5VFGbCSXF7zB8bFNidq+XC8Z5drhKZr8cJSary+UZJQQoly4ffs2DRs25K+//mLQoEF07tyZWbNm0a1bNzIzMx+6/6JFi6hfvz7h4eEMGTKE7t27s2nTJnx9fdm9e3fpd0AIUWo86rkx5peBjF8xGO/GlXXlmalZ7F50lC/a/cTeb46TmZZlxCiFEBVRsa6Qunz5Mtu2bePIkSNERkaSmZmJq6sr/v7+dOzYkdatW6PRaEoqViGEKHXalAQiln/FzTX/IycjTW+bU7NuVHvufWx8A40UnRBC5G/q1KnEx8dz/PhxnJycAGjSpAmNGjVi0aJFvP766wXum5OTw3vvvUfjxo1ZuXKlrnzgwIF4enoyY8YMOnToUNpdEEKUsurNPXlh9dNc3BXOtrkHiLwQA0BaQgZbPtvPwR+D6Px6SwIH1jRypEKIiuKRElJ///03X331Ffv27QPAwsICZ2dnzMzMOHnyJKtWrWL69Ol4eXkxYcIEXnnlFWxtbUs0cCGEKEk52iwiN/7Mtd8+JSshVm+bXb2WVB/7IfYBrYwUnRBCFCwpKYnVq1czYsQIXTIKoGHDhjRp0oQff/zxgQmp7OxsUlNTqVGjhl65ra0t7u7uJCUllVrsQoiypVKpqN2pOjU7VOPs+otsn3+Iu9cSAEiKSmHttO0c/OEkrSYH0qC3THwuhChdRbplLzw8nLZt2/L0009jaWnJjz/+yIULF0hNTeXGjRtcvXqVhIQEoqKiWL9+PT169GDevHn4+fnx119/lVYfhBDikSmKQsz+9Zx4vgWhi6bqJaOsfQKoN3s1gfM3STJKCFFunT59mszMTBo2bGiwrWHDhpw7d47k5OQC9zc1NWXo0KFs376dK1eu6Mq3bdvGlStXGDFiRKnELYQwHrVaRWD/2kzZPop+szph63ZvcvOoy3dZO2UXv4xax83gKCNGKYR40hXpCqnTp09Tu3Ztfv/9d7y9vQus5+rqSp8+fejTpw8LFizg22+/Zffu3QwaNKjYAQshRElJPH+cq9++T2LwIb1yczcvqo/7CNcOg1CpZao9IUT5dvPmTQDc3NwMtrm7u6MoCrdv38bPz6/ANn766Sdmz55NgwYNCAgIICMjg6tXr/LDDz8wZsyYBx4/KiqK6OhovbLQ0FAAtFotWq22iD0qv7RaLdnZ2U9UnwpD+v0E91sFjZ+pS0A/Pw7+eIoD350kMyV3LqmwQzdY0ucP6verSec3WuBQxc7IwZauCvF450P6Lf0uSYVdSEVXvyiV+/fvT//+/Yt0AAsLC1555ZUi7SOEEKUp7XYY4T/MIHrPGr1yjbU93sPeoMqACajNZLUZIcTjISsr98NjfieBpqamAA+d2HzdunXMnz+fHj16MGjQIDIyMvjuu+/48MMPqV+/Po0aNSpw3yVLljBjxox8tyUlJREfH1/InpR/2dnZuqvNKtI8qdLvitHvBiP88OvpyaFvTxO85gpKTu6CLmf+uUTI5lAaDK1Ns+f8sbAzN3KkpaOiPd55pN/S75Lk4uJSpPrFmtQccm93OXr0KOHh4djZ2dG0adMiByGEEGVBmxzPtWVzubXuWxTtvZVkVCamePR7Hu/hb2Jq5/SAFoQQovzJm6czJSXFYFveSaedXcFXNkRGRjJq1Ci6devGqlWrdOXDhg0jMDCQoUOHcunSJVQqVb77T5o0iSFDhuiVhYaGMmDAAGxtbXFwcChql8qtvG+U7e3ti/wt8ONM+l1x+u3g4MCA2a4EPl2Lo9+GcGlHOADZmTmc+O0c59ZfocPLzWg6rB4a0yfrQ3xFfLxB+i39Nq5iRXDnzh369OnD8ePH7zVoYkLHjh2ZMWMGLVu2LHaAQghRXEp2Nrc3/cK1n2cZTFju0m4A1cd9hKVHjQL2FkKI8q1mzdwVscLDww22hYWFYWVlRZUqVQrc//jx46SlpdG7d2+9clNTU7p27cqCBQu4detWgW24ubnle7sg5J4XlocT3pKk0WieyH49jPS7YvXb1ceR4Uv7EHEiks2f7OPG6TsApMVnsOnjfRz/M4Re77ejZodqxg20hFXUx1v6Lf02lmJNjvLOO+9w/PhxXn75ZdavX8/KlSt56623uHbtGm3btmXevHklFacQQjyS+NP7OTmpPaFfv6aXjLLzb0GDr7dT94NfJBklhHis1a5dGy8vL3bu3KlXnpWVxd69e+natSvqB8yHZ22dO5nx3bt3DbbFxsaiUqmwsrIq2aCFEI+F6s09eXHtMzyzqBdO3vdW3YsOvcsvY9byy5i1RIcavncIIURhFCshdeLECUaPHs2CBQvo06cPQ4YMYfbs2YSEhPDee+/x5ptvsn79+pKKVQghCi098hrnPh7Nmam9Sbl6Vldu7u5Nnfd/JvDLzdjVbWrECIUQomSoVCreeecddu/ezdq1a3Xln376KbGxsUybNk2v/syZM+nRo4fuFr9WrVrh5eXFwoUL9a6y2r9/P6tXr6Z79+44OjqWRVeEEOWQSqUioE9NXt02ku7T2mBuY6bbdml3OAt6LGPjjN2kJaQbMUohxOOoWNdomZmZ4evra9ioiQkzZszg9OnTfP311/Tt27c4hxFCiELLTkshYsWX3Fi1kJzMeydGagsrvJ55Hc/BL6ExtzRihEIIUfImTpxIZGQkzzzzDIGBgaSkpHDz5k1+++03WrRooVf35MmTbNmyRTcZurm5OZs3b2by5MnUqVOHwMBAMjIyCA4O5umnn+brr782RpeEEOWMibkJ7V5sQqNBddj2xSFOrAhGUSBHm8PBn04RtOYCXV5vSdNhAWhMZJViIcTDFSsh1bBhQzZt2sS7776b76XgXbt25fPPPy/OIYQQolAURSF612qufvchmTG39La5dhpCjfEzMHcteA4VIYR43M2YMYMpU6YQHByMiYkJDRs2xMLCcMXQjz76iBdffBEbGxtdWd26ddm1axe3bt0iPDwcU1NTfHx8cHKShR6EEPpsXK0Z+FkXmo+oz8aZewg/ehOAtPh01n+4iyPLztD7w/b4tvE2cqRCiPKuWAmpDz/8kLp16/LCCy/w9ddf6+YgyBMSEoK3t7wRCSFKV0rYOS4vfIPEswf1ym38GuAzaQ729VoUsKcQQjxZHB0dadu27QPrNGzYsMBtHh4eeHh4lHRYQognkEc9N8avGEzI5lA2z95H3I1EAKIuxfLTiL/x7+lLr/fb4VCl4FU+hRAVW7ESUp6enqxZs4aBAweyfv16BgwYQOPGjbGxsWHPnj0sW7aMf/75p6RiFUIIPdrUJK7/9hk3/v4f5GTryk0d3ag+9iPcuw1D9YCJfIUQQgghxKNTqVTU6+lHrY7VOfhjELsXHyUzJfd24JBNoVzaHU6Hl5rRZnwjTMyNv6KXEKJ8Kfa7QufOnTl//jwfffQRq1ev5ttvv9Vtq1OnDhs2bODWrVs0bNiQOnXqoNFointIIUQFpygKMXvXcOV/75IZe1tXrtKYUGXgi3iPeBsTa/k2TgghhBCiLJhamNB+UlMaDq7Lls/2c+rv8wBkpWnZ9vlBTq4+R5+POlCzQzXjBiqEKFdKJE1dpUoVvv/+e5YuXcqpU6c4efIkQUFBnDx5kqVLl5KWlgaApaUlR48epV69eiVxWCFEBZQacZnQRW8Sf3KXXrl9QGt8X/kC62p1jBSZEEIIIUTFZudmzZD53Wn6bD3Wf7iLyPMxAMSGxfPLmLXU6VqD3h+2x9HL3siRCiHKgxK9blKj0dC4cWMaN26sK8vOzubChQsEBQURFBSElZVVSR5SCFFBZKencv3PL7ix8msUbZau3NTRjRovzMKt89OoVCojRiiEEEIIIQCqNa3CpPXDOPr7GbbPO0h6UiYA57dd5fLea7Sf1JS2E5pgaiG38QlRkZX6O4BGo8Hf3x9/f39GjBhR2ocTQjyBYg9vJnTRm2TcuX6vUK3Go9/zVBv9LiY2DkaLTQghhBBCGNKYqGk5ugEBvWuyde4BTqwMAUCbkc2OLw8T9Nd5+s7sKLfxCVGBFWm23wMHDvDrr7+SnZ398Mr3OXnyJIsXLy7SPkIIkXn3Duc+Hk3IB0P1klG2tZvQaPFufCfPlWSUEEIIIUQ5ZuNixVNzuzLh76F41HPTld+9nsAvY9ayfPJGEu8kGzFCIYSxFCkhZW5uzpQpU6hduzaffvopYWFhBdZNSEjgjz/+oHv37jRt2pT4+PjixiqEqCCUnBxu//szx8c1JWbvWl25iZ0Tfq8toMHX27DxDTRegEIIIYQQoki8G1Vm4rpn6D+7E5b25rrysxsv81WXXzn0yylysnOMGKEQoqwV6Za9Jk2aEBoayqxZs/j000959913qVSpEgEBATg7O2Nqasrdu3e5evUqFy5cAKBHjx4cO3aMRo0alUoHhBBPltTrl7j81RQSzh7QK3fvOowaE2Zhau9spMiEEEIIIURxqDVqmg2vj38PXzbN3kfQ/6/Gl5GUyYaPdhP013n6f9KZKvddSSWEeHIVeQ4pJycn5s+fz8yZM1m1ahXbt2/n2LFjHD58mMzMTFxcXKhbty4jRozgmWeeoUaNGqURtxDiCZOTlUnEiq+4/sfnKFmZunILj+r4vfoVjo06GC84IYQQQghRYqydrRg8vzuNBtdl3fs7ibkaB8DNM3f4X78/aTk6kC5vtMLcxszIkQohStMjT2puY2PDc889x3PPPVeS8QghKqCE4MNc/upVUq9duFeo1uD19Ct4j3gbjbml8YITQgghhBClokYrL17eNJy9S0+wZ9FRtJnZKDkKB386RfCmUHp/1B7/Hr6ykrIQT6hHSkglJCSgVquxtbUt6Xj0KIrCtWvX0Gq1VKtWDROTwoUbGRlJZGRkvtvq1atX6HaEEKVLm5pE2PfTub3+e71y21qN8HttATY+AUaKTAghhBBClAUTcxM6vdKc+n1r8s8Hu7iyP3chm8TIZP6cuJE6XWvQ9+NO2FeyMXKkQoiS9kiZmVdffZU///yTzZs307FjR115YmIiu3btwtzcnI4dO2Jubv6AVh5s8+bNTJw4kdTUVCwsLEhNTWXOnDmMHTv2oft+8803zJgxg4CAANRq/Xnbd+zYgbOzzEEjhLHFndzNpfkv662ep7awpvrYD/Ho9zwqjcaI0QkhhBBCiLLkUt2R534byJl/LvLvx3tJjkkF4Py2q1w9fIMe09rQ5NkA1Gq5WkqIJ0WRE1KJiYksX76cL7/8Ui8ZFRMTQ9OmTQkPDwegevXqbN68mZo1axY5qKCgIPr378/EiROZP38+arWa//3vf4wbNw5nZ2f69+9fqHYOHjyIjY1k0oUoT7QpiYR99yG3N/6kV+7UvDu+r3yBhZuXkSITQgghhBDGpFKpCOxfm5odqrFlzgGO/XEWyJ30fN17Oznzz0UGfNoFlxqORo5UCFES1A+vou/8+fNUqVKFiRMn6pUvXryYa9euMW7cOF577TXS09MZPHgw2dnZRQ7q448/xsbGhjlz5uiucJo4cSJNmjTh/fffL3J7QojyIf7kLk680EovGWVi60jtd77H/+MVkowSQgghhBBY2lsw4JPOjF8xWC/5FHbkJgt7LGPPkmNkZxX9c6YQonwpckLqzp071K5d22BiufXr1zNixAi+//575s+fz5EjR4iIiGDr1q1Faj8nJ4ctW7bQvn17g1v+unfvTnBwMNeuXSt0rCEhIQXOJyWEKBvalERuffcu594bTEZUhK7cuXUfmnx/BLdOQ2SySiGEEEIIoad6c09e+nc47Sc1Ra3JPVfUZmazde4B/td/OTeDo4wcoRCiOIp8y56Li4tBQig9PZ0zZ87w4Ycf6sq8vLwYO3Ysu3fvpmfPnoVu//r166SmpuLj42OwzdfXF4ALFy5QtWrVh7bVuHFjnJ2duXbtGn5+fsyZM4d+/fo9cJ+oqCiio6P1ykJDQwHQarVotdrCdqXQtFot2dnZpdK2MCTjXbbiju/gytdTyIy5pSszsXOixsQ5OLcfiEqlkseiFMjzvOzJmJe90h5zWQRFCCGMz9TChG5vtaZebz/WvL2dW/+fhLp9Lppv+v9J6/GN6DSlBWaWpkaOVAhRVEU+02rQoAHh4eHs2bOH9u3bA7Bp0yaysrJo3ry5Xt169eqxY8eOIrWfkJAAkO8Kfnll8fHxD2wjICCA/fv307p1ayA3yTRu3DgGDhzI+vXr6dWrV4H7LlmyhBkzZuS7LSkp6aHHfhTZ2dkkJycDoJGJnEudjHfZyE5N4s5vs4nfvUqv3LZZDyo/NwMTBxfd612UPHmelz0Z87JX2mPu4uJS4m0KIYR4NB7+bry49hkO/nCS7fMPoc3IJidbYd/SE5zbeoVB87pRtbGHscMUQhRBkRNSVlZWTJgwgb59+/LGG2/g7e3N7NmzadSoEe7u7np1MzIysLS0LFL7eSeU+c09lVdmavrg7PegQYP0fndzc+OPP/6gevXqTJ8+/YEJqUmTJjFkyBC9stDQUAYMGICtrS0ODg6F6UaR5H2za29vL9/GlgEZ79KXcPYg4fMm6d2ep7F1pPqkubh1eMqIkVUc8jwvezLmZU/GXAghKhaNiZq2E5pQt7sva9/ZztVDNwCIDYvnu8EraTWuEV2ntsLUQv4mCPE4eKRX6uzZs7l48SLTp08HcldDWLlypUG9tWvX0q5duyK1XalSJSB31b7/yruV7r+Jr8KwtbWlYcOG7N+//4H13NzccHNzy3ebiYlJqZ3wajSaUm1f6JPxLh05mRmE/zKLG6sWgqLoyp3bDcB5+Lu4ePvImJcheZ6XPRnzsidjLoQQFY9zNQfG/jGI4ytC2DR7LxlJmSgKHPj+JBd3hjHo8654y9VSQpR7RZ7UHMDCwoINGzawZ88evvnmGw4fPszgwYP16qxevZotW7bQqVOnIrXt4uKCt7c3Z8+eNdh25swZTE1NCQgIeJSwSUhIwMrK6pH2FUI8WPLVYIJe6siNlQt0ySgTWwdqv/cjtd75ARM7ZyNHKIQQQgghnhQqlYqmz9TjlS0j8W3rrSuPuRrHt0NWsemTfWSly7yOQpRnj5SQytOuXTsmTJhAs2bN9Mrj4+NZunQpzZo1o0WLFkVud/jw4Rw8eJArV67oypKTk1mzZg39+/fHzs5OVx4ZGcmpU6dISUnRlaWnpxu0GRQURFBQEN27dy9yPEKIginZ2USs/JqglzqSEhaiK3ds3InG3x7CrcOgB+wthBBCCCHEo3PwsGXMrwMZ8GlnzG3MAFByFPZ/e4JFvX7n+snbRo5QCFGQYiWkCuLg4MC2bds4cuTII+3/9ttvU7NmTfr378/GjRvZtWsXAwYMQKVS8fnnn+vVXbRoEQ0bNiQoKAjInWfK39+fjz/+mI0bN7J//36+/PJLunXrhpeXF3Pnzi12/4QQudIjr3Hmzb6EffchSlYmAGozC3xfmke9T//G3EUulRZCCCGEEKVLpVLR9NkAXtkyAp82/7laavBKNn8qV0sJUR6VSkKquOzt7Tl8+DBPPfUUc+fO5f3338ff35+goCCqVaumV7dy5coEBgZiY2MD5M4lceTIEUxMTFi6dCmvv/46O3bs4J133uH06dN4enoaoUdCPFkURSFy6x+cmNCahLMHdOU2NRvS6H/78Oj/PCqVyogRCiGEEEKIisahih3P/TaQ/p90xsw6dyEsJSd3Jb7Fff7g5tk7Ro5QCHG/cjsDqJ2dHTNnznxovcmTJzN58mS9MhcXF955553SCk2ICk2bHM+lL18lZu/ae4VqDd7DpuI9/E3UJg9eBVMIIYQQQojSolKpaDYsAL+23qyZtp0rB3JXfY4Ovcs3A1fQaUoL2r3YBI1Jubw2Q4gKRV6FQohCSwg5wokJbfSSURYeNWjw5RaqjX5XklFCCCGEEKJccPSy57llT9FvVifMrHLPUXO0OWyfd5DvhqwkNjzeuAEKISQhJYR4OCU7m2vL5nL69Z5kREXoyiv1HkPjb/ZjV7epEaMTQgghhBDCkEqlovmI+rz073C8G1XWlUcERbKw5zKO/n4G5f9XhxZClD1JSAkhHigj+iZn3urHtV9mQ042ACY29tT98DdqTvkajaW1kSMUQgghhBCiYM7VHBi/cghd32yF+v9v1ctK07LuvZ38OnYdSVEpD2lBCFEaSmQOqaSkJI4ePUpERATp6el623x8fOjatWtJHEYIUcZiDm7k0rzJaJPidGV2Aa2oPe1bLNy8jBiZEEIIIYQQhacxUdNhcjP82ldj1ZTNRIfeBeDSrnAWdP+NvrM64tHc2chRClGxFDsh9dtvvzFlyhTu3r2b7/ZBgwZJQkqIx0x2RhpXl77P7fXf3ytUq6k64m28h01FpSm36yEIIYQQQghRoCr13Ji8YRhb5x7g4I9BAKTGpbNi8ibq9qlB/4+7YOMo57pClIVivdIiIyMZP348/fr148UXX8TLywszMzO9OtbWcjuPEI+TlGsXuDB7LClhIboyc1dPar/zHfYBrYwYmRBCCCGEEMVnamFC7w/bU7tzdf6aupWE28kAnNtwldunlzN0YS+8GlQycpRCPPmKlZA6ceIEvr6+rFy5EpVKVVIxCSGM5M62P7n89WvkZKTpylza9MXvtQWY2jkZMTIhhBBCCCFKlk9rb17ePIL1H+3m9NoLAMRFJPLt4JV0ea0FbV9sgloj0y4LUVqK9epydHSkUqVKkowS4jGXnZHGpS9e4uLcF3XJKLWZBb6vfkmdD3+TZJQQQgghhHgiWdpb8PRXPRj8ZTfMrE0ByNHmsPXzg/w04m8SbicZOUIhnlzFSki1aNGCrKwswsPDSygcIURZS7txhVOvdCFy82+6MivvWjRcvBuPPmMl4SyEEEIIIZ54AX1rMuKP3ng1vHer3tVDN1jY83dCNocaMTIhnlzFumUvJSWFmTNn8sILLzBgwAAaN26Mvb29Xh07Ozs8PDyKFaQQonRE71nDpfkvk51675sft85P4/fql2gsbYwYmRBCCCGEEGXLvooNz/35FPuWnGD3oqMoOQpp8en88eIGmg4LoNcH7TCzNDV2mEI8MYqVkNqyZQtDhgwBYNu2bfnWGTRoEKtXry7OYYQQJSwnM4Or333ArbVLdWUqU3N8J8+hUq8xclWUEEIIIYSokDQmarq83hLfNt6snLKZhFu5X9we++Ms4UdvMnRBTyrXdTVylEI8GYqVkGratCk//fTTA+tUq1atOIcQQpSw9MhrnJ81hqSLJ3VlFh7VqfvBL9j4BhoxMiGEEEIIIcqHas2q8PKm4ax9ZwfB/14GIDr0Lv8bsJye77alxehA+RJXiGIqVkKqatWqjBkzpoRCEUKUttjDm7k4dwLapHhdmUubvtScuhgTa/uCdxRCCCGEEKKCsbS34JnFvTix6hwbPtpFVpqW7MxsNkzfTdjhGwyc0wVLewtjhynEY0vWsBSiAlBycgj/eTYhHwzVJaNUGhN8Jn5GnQ9/k2SUEEIIIYQQ+VCpVDR52p/JG4ZR2f/erXohm0NZ3PsPIk5FGjE6IR5vxbpCCiAjI4MffviBTZs2ERERQXp6ut727t278/XXXxf3MEKIR5SVFMfFz17g7tGtujJzV0/qvP8zdnWbGjEyIYQQQgghHg+uPk68+PdQNn2yj8O/nAYg7kYi3w1ZSfe329BqXEO5hU+IIipWQkpRFHr06MHu3bupV68eXl5emJmZ6dWpUqVKsQIUQjy6lLBzhEwfRvqtMF2ZY+NO1H7ne0ztnY0YmRBCCCGEEI8XE3MT+s7oSPUWnqx5axvpSZlkZ+Xw76y9XD18g0HzumHlILfwCVFYxUpIHT9+nCNHjrB3717atm1bUjEJIUpA9J6/uThvMjnpqboyr2deo9qYD1BpNEaMTAghhBBCiMdXvZ5+ePi7sfzlf7l5+g4AF7ZfZXHv3xm6sBfejSobOUIhHg/FmkPqzp07tGrVSpJRQpQjSraWq999wPlZz+mSUWoLa+p8+CvVx02XZJQQQgghhBDF5ORtzwurnqbV2Ia6svibSXz39Cr2fXuCnBzFiNEJ8XgoVkIqMDCQmJiYkopFCFFMWQmxnH3nKW6sXKArs6ziQ8OFO3Bt29+IkQkhhBBCCPFkMTHT0PvD9gxf2gcLO3MAcrQ5bP5kH8ue/4e0hPSHtCBExVashJSXlxdDhw5l/vz5KIpkgIUwpqTLpzg5uQPxQXt0ZU4tetBw0U6sq9UxYmRCCCGEEEI8uep29+WljcPwalBJV3ZxRxiL+/zBreAoI0YmRPlWrDmkgoKCuHbtGrt27WLp0qU0atQIe3v95eMbNWrECy+8UKwghRAPFrVzNZe+mExO5r1vYbxHTqPqiLdRqYuVdxZCCCGEEEI8hKOXPeNXDmHr3AMc+P4kAHERiSx9agV9Z3WiydP+Ro5QiPKnWAmpiIgIli9frvt906ZNBnXS0tIkISVEKVFycgj/ZTYRf8zTlWms7Kg97VucW/Y0YmRCCCGEEEJULCZmGnq9346qTTz4a+pWMpIz0WZms+atbVw/cYu+MzpialGsj+BCPFGK9Wro168f8fHxJRSKEKIostOSuTBnArEHNujKLL1q4j/zT6w8fY0YmRBCCCGEEBWXfw9f3Gs688fEDdy5GAvAiRUh3A6J5tn/9cbJy/4hLQhRMci9PEI8htKjIjg1pYdeMsqxaVcaLtwuySghhBBCCCGMzKWGIy+ueYbA/rV0ZbeCo1jS5w8u7gozYmRClB8ldr1gXFwct27dMpjc3N7eHi8vr5I6jBAVXuK5o4R8NIys+GhdWZVBL1Hj+ZmoNBojRiaEEMLYrl27RlBQECYmJrRq1QonJ6cit3HmzBlCQ0OpXLkyTZo0wdTUtBQiFUKIJ5+ZlSlDvuqBdxMP/p25h+ysHNISMvj1uXV0fKU5nV5tjloj14iIiqvYCalz584xcuRITp48me/2QYMGsXr16uIeRggB3Nm2nEtfvoySlQmAysQU31fmU7nnKCNHJoQQwpgUReHVV1/l22+/pXPnziQnJ3Ps2DHmz5/Piy++WKg2zpw5w+jRo4mJiaFZs2YkJSVx8+ZNfv75Z5o2bVrKPRBCiCeTSqWixchAPPzdWD55Iwm3kwHYteAIEUG3GbqgJ1aOlkaOUgjjKFZCKicnh379+lG1alUmTJjAyZMnGTlyJMHBwaxevZpXXnmFTp06lVSsQlRYSnY24T/NJGLFV7oyU3tn6nz4Gw71WxsvMCGEEOXC/PnzWbx4Mdu3b6djx44ALFiwgEmTJlG7dm06dOjwwP3Dw8Pp0KEDw4cP58svv8TEJPcU8erVq9y5c6e0wxdCiCeed6PKTN4wjBWvbubK/usAhO67zpJ+fzJ8aV8q13U1coRClL1iXR946tQp4uPj2bhxI126dMHb25uXX36ZpUuXcurUKTZs2ECNGjVKKlYhKiRtahIh04frJaOsqtWhwcKdkowSQghBTk4O8+bNo2vXrrpkFMBLL71E5cqVmTNnzkPbmDp1Ko6OjnrJKIAaNWrQsmXLUolbCCEqGmtnK8b8MoAOLzXTlcVFJLJ00ArObrhkxMiEMI5iJaQiIiJo3LgxFhYWqNVqsrKydNu8vLwYPnw43377bbGDFKKiyoi+yenXenL38CZdmVOLHjT4aiuWlasZLzAhhBDlRkhICJGRkbRr106vXK1W065dO3bt2kV2dnaB+ycnJ7Nu3ToGDhxIeno6W7ZsYfXq1Zw+fbq0QxdCiApHrVHTdWorhi/tg5l17hx9WWlalr/0L1s+209Odo6RIxSi7BTrlr2srCxsbW2B3MnLr127prfdzs6OEydOFOcQQlRYyVfOEvz+02TG3NKVeT79CtXHTpfJy4UQQuiEhoYCULVqVYNt3t7eZGRkcOPGjXy3Q+7cUVqtlosXL+Lt7U3dunWxsbFhz549NG/enFWrVuHqWvCtJFFRUURHR+uV5cWk1WrRarWP2rVyR6vVkp2d/UT1qTCk39LviqCs+12zczWeXz2E5RM3EhueAMDeb45zKySKQV92w8rBokzikMdb+l2S7r/KulD1S+rAgYGBhISEsGXLFrp3705CQoJuYk0hRNHcPbad87PGkJ2aBIBKY4LflK+p1GOEkSMTQghR3iQn506Qa2lpOCmutbU1AElJSQXuf/fuXQA2bNjAr7/+ysiRIwEICgqiZcuWjBo1ik2bNhW4/5IlS5gxY0a+25KSkoiPjy9UPx4H2dnZuvHWVKAvh6Tf0u+KwBj9NnNV8/RP3dn8wQHC9t8EcueV+qb/cvp90R4XX8dSj0Eeb+l3SXJxcSlS/RJLSLm4uPDcc8/Ro0cPPDw8iIuLQ6PRsGLFikduU1EUrly5glarxcfH55GXHY6OjubatWvY2tpSq1atR45HiLJw+99fuPz1a5CTe3uFxsqOuh/9hmOjDsYNTAghRLlkbm4OoDd1Qp7MzNxVWS0sCv6mPW//OnXq6JJRAA0bNuTZZ5/l559/5tatW3h4eOS7/6RJkxgyZIheWWhoKAMGDMDW1hYHB4ci9ac8y/tG2d7evsjfAj/OpN/S74rAaP12gFE/DmDXV0fYu+Q4AAk3k1kxdisD5nTGv6dvqR5eHm/ptzEVK4LBgwczePBg3e+LFy+mfv367N+/n8qVKzNp0qQCLw9/mI0bNzJx4kSys7OxsLAgLi6OOXPm8PzzzxepnaysLLp3705QUBCtW7dm//79jxSPEKVNURTCf/qYiD+/0JWZu3pSb/YqrKvXNWJkQgghyjMvLy8AIiMjDbZFRkaiVqsLTCbdv3/NmjUNtuWVhYeHF9iGm5sbbm5u+W4zMTEpFye8JUmj0TyR/XoY6bf0uyIwZr+7v9WGKgHu/PXGVjJTs8hMzWLly5tpP7kpXV5viVpTrOmfH0geb+m3sZRoBKamprz00ku89NJLxWrnxIkTDBw4kJdffpnPP/8ctVrNd999xwsvvICLiwsDBw4sdFvTp08nNjb2ifp2Tjx5cjIzuPjFZKJ3rtKV2fjWx//jlZi7VDZiZEIIIcq7wMBALC0t852389ixY9SvXx8rK6sC9/fz88PV1dVgHihAV+bs7FxyAQshhMhXvZ5+uNZwZNkL67l7LXdeqT2Lj3HnYixPf9UDcxszI0coRMkqsTRrWloaoaGhBAcH6/1EREQUua1Zs2ZhZ2fHp59+ilqdG+Lzzz9P06ZN+eCDDwrdzqFDh5gzZw5Lly7VXY4uRHmTlXiXs9MG6iWjnJp1I3D+JklGCSGEeCgrKyueffZZ1q5dy+3bt3XlBw4c4MyZM7zwwgt69ffs2cOyZct0t/hpNBqef/55jhw5woULF3T1UlJSWLlyJXXr1pUpD4QQooy413Jh0j/P4tfu3p1GF7ZfZemgFcRFJBgxMiFKXrETUsePH6djx45YWVnh5+dHQECA3s9rr71WpPays7PZsmUL7du3x8xMPwPcvXt3QkJCDFbzy09KSgqjRo3i2WefpUePHkWKQYiyknY7jFNTupFw9oCurHKfsfjP/BONpY0RIxNCCPE4mTt3Lt7e3nTo0IGFCxfy2WefMWDAAPr162eQkPryyy8ZOXIkKSkpurL333+ftm3b0r59e2bPns1XX31Fy5YtyczM5Pfffy/r7gghRIVmaW/BqJ/603ZCY13ZnYux/G/AcsKP3TRiZEKUrGLdshcfH0+3bt2oXLkyM2fOpEqVKgZJpKLOIXX9+nXS0tKoUaOGwTYfHx8ALly48NB2p06dSkJCAl999VWRjm+MpYsr6pKTxlJexjs59DTnPxhKVvy951vVcdPxGPQS2QrwBD0fysuYVyQy5mVPxrzslbeli43J2dmZY8eO8dtvv3HixAlMTEz45ptveOqpp1CpVHp1O3TogI2Njd45m6WlJTt27GDVqlXs3buXjIwMxo4dy8iRI+V2PSGEMAK1Rk2Pd9ri5uvE2nd3kJ2VQ0psGj8O+4sBn3Sm0RB/Y4coRLEV60zr4MGD2Nvbc+zYsQfOTVAUCQm5lyHa2toabMsre9jywZs3b+abb77hzz//LPJJlDGWLq6oS04aS3kY75Tgg0TMn0hOWm4cKlMzPCbOw7plb91r4ElSHsa8opExL3sy5mWvvC1dbGyWlpYGV0PlZ8qUKfmWq9Vqhg4dytChQ0s4MiGEEI+q0RB/nKs78vuE9aTEppGdlcNfb24jKvQu3d5qXaqTnQtR2oqVkLKzs8PX17fEklFw79vI7Oxsg215ZaampgXuf/fuXcaOHUvfvn155plninx8YyxdXN6WXnzSGXu8Y/b9w/W5E1C0uUtxm9g4UPuj37Gr16LMYykrxh7zikjGvOzJmJc9GXMhhBAVQdUmHkxc+wy/Pb+eOxdiANi39ARRoXcZ+nVPmexcPLaKdfbWokULEhISiIiI0C0ZXFyVKlUCICYmxmBb3q10eXXys3TpUqKiohg3bhzHjx/XlWu1WpKTkzl+/DiVK1emSpUq+e5vrKWLy9PSixWBscb71vrvCV04FRQFADMXDwI+/RvranXKNA5jkOd42ZMxL3sy5mVPxlwIIURF4Ohlz4TVT7NyymYubL8KwMUdYfwfe/cdFdXx9gH8uyy9dxFBKYKKgNg1GrGgxm4Ejb33mhiNiTEaS4xG04yamNh777G3qLEX7KjYAZWiNKm7zPsHL/tzQxHcRvl+zuEcZ+7cuc/MrnD32XvnLgnehD5LO8LG1UrHERIVnUpnb/r6+ti0aRPGjx+P5s2bo1atWrCyUv6PYGlpCWdn50L3aW9vj0qVKuH69eu5tl27dg2Ghobw8/PLd387OzsEBARg5syZSvUJCQlIT0/H8OHD0b9/f4wePbrQMRGpSgiBJ2vm4OmaOYo6E1cv+M3ZAWNH9SRziYiIiIio9DIyN0SvJe1x6Id/cWrJZQDZi50v7rQRvZa0h1vdvC+6ICquVP46MSsrCykpKRg5cmSe24ODg7F169Yi9dmrVy/MmTMH4eHhqFy5MgAgMTER27dvV9w6lyMqKgpRUVGoWrUqzM3NMXTo0DzXT3ByckLlypVx+vTpIsVCpCohlyN84QQ837tcUWdRtTZ8Z22BgRUXiiUiIiIiosJRWuz862OQZ8iR8ioVy3ttR/C8lqjRqaquQyQqNJUSUikpKYontUybNg3Ozs65nrLn5uZW5H4nTZqE3bt3o2PHjvj+++9hamqK2bNnw8DAAPPmzVNqu3jxYnz33Xc4deoUGjdurMpwiNQuKyMdYXOGIPbULkWdTZ0W8Jm6BlITMx1GRkREREREJVWuxc4z5Ng87gBeRyQicGTdXE9YJSqOVH7KnlQqxeXLl9W6sLmlpSXOnDmDn3/+GQsWLIBMJkOdOnWwYcOGXOtHVahQAbVr187zqXxvCwgIgIuLi9piJHoX2ZtE3Pq2JxJCTynqHFt0g/fni6BnwIUHiYiIiIjo/VWq44zhO7tj9YBdiAl/BQA4PO8MXj1NQKdZzSE14FN/qXhTKSFlZGQELy8vtSajclhYWGDq1KnvbDdixAiMGDHine0OHDigjrCICiXjdQxuTu6C5PD/rYVWIXgUPIbOgkSPj2YlIiIiIiLV2bpaYdi2blg/fC8eno0AAFzedAvxkUnoubgdjC2NdBwhUf5U+mTcsGFDJCUlITIyUl3xEJV4adERuDb+I6VklPugb+Ex7Dsmo4iIiIiISK1MrIzRb9XHqNnlf0/ufnD6KZaEbMbriEQdRkZUMJWukEpPT8fs2bMxaNAgBAcH5/mUPXNz81y32RGVVqlRD3H9i05If/k0u0JPD96fLYDTR310GxgREREREZVa+oZSBP/YCraVrHD053MAgOh7cfjj443ou7wTKviV03GERLmplJDav38/unbtCgA4ePBgnm3e5yl7RCXRm8d3cGNSZ2S8egEAkOgboNrk5bD/sKOOIyMiIiIiotJOIpGg+bgGsHG1wo5JhyHPzEJyTAr+6rYFn/zWFtWCPHQdIpESlRJSderUwV9//VVgG3d3d1UOQVQiJN27ihtfdYEsMXsxQT0jE/hMWwvbukE6joyIiHQtOjoaW7duxciRIxV1b968we3bt1G3bl2lthEREfj1119zPVWYiIiosGp2qQar8uZYN2wv0hLTkZkqw7qhe9BuaiAa9g/QdXhECiolpNzc3DB48GB1xUJUIiXcOIObUz6BPCX7/mypqQWqz9wEa/9GOo6MiIiKg+joaCxevFgpIfXo0SMMGDAAN2/eVGobHx+P/fv3MyFFREQq8WjoiuHbP8GqATvx+lkiRJbA3m9PIOF5ElpNagw9PYmuQyRSbVFzorLu1aWjuPFVF0UySt/CBv4/7GIyioiIiIiIdMqhsi2G7+gO14D/rel8asllbJtwCPJMuQ4jI8qm0hVSp0+fxqxZswps8+GHH+Lrr79W5TBExVLcmX24PasfRGYGAMDAxhH+c3fBzN1Hx5EREREREREB5vamGLghGJvG7EfYkYcAgNDtd5Ac8wY9f28PqTGvUSHdUSkhlZaWhhcvXijVpaen4+nTpxBCwNvbG/Hx8aocgqhYij29B3dm9YeQywAARo6u8J+7CyYunjqOjIiIiIiI6H8MTQzQ84/22PPNMVzckH2rePipp1jaYyt6/dVexawA0ftT6a0XFBSE0NDQXPUymQzLli1DWFgY10CgUifmnx24M3sQkJV9mauxszv85+2BsaOrjiMjIiIiIiLKTaqvh06zW8CinDmO/XIOABB1IxrLum1DpwVNYW1trdsAqUzSSC5UX18fw4YNw7hx47B+/Xr07NlTE4ch0rroY1sRNneoIhll4lIZ/vP2wMjeWceRERFRcZaQkICNGzcqyhEREbnqcuqJiIg0QSKRoMWnDWBZzgy7vj4GkSXw6mkCNg44gD7LO6JSzQq6DpHKGI1enBcQEIDDhw8zIUWlwssjm3B33nAgKwsAYOLqnZ2MsnN6x55ERFTWRUREoEePHrnq86qrXr26NkIiIqIyqm4PP5jbm2Lj6H2QpcuR+jodK3vtRM/f28Er0E3X4VEZotGE1L59+2Bvb6/JQxBpxYuD63Dvx1GAEAAAU7dq8P9hNwxtHHUcGRERFXcVK1bEli1bCt3eyspKg9EQEREB1Vp6YuD6YKwZtAup8enISMnE6kG70eWHlqjZpZquw6MyQqWE1L1797B7926lOiEEYmNjceTIEVy9ehXHjh1TKUAiXXu+bxXu/zJOkYwyc68Ovx92w9CayVYiIno3S0tLhISE6DoMIiIiJZVqO2PQxmCs6r8LSS/eIEuWha3jD+LNq1Q0HlxL1+FRGaBSQur69euYOHFirnpDQ0P4+/tj165daNq0qSqHINKp5/tW4f7PYxVlM08/+M/dBQMrOx1GRUREJZ0QAvHx8TAyMoKpqamuwyEiojLKobItuq9ojd2f/oOXd+MAAPtnnURqfBqCPm8IiUSi4wipNNNTZeeOHTsiJiZG6ScuLg5paWm4ePEiOnTooK44ibTuxcF12VdG/T9zrwD4/7CbySgiInpvmzZtQpMmTWBsbAxbW1uYmZnB0dERffr0QVhYmK7DIyKiMsjcwRQDN3aBW73/LWp+YuEF7Jl6HFlZQoeRUWmnUkLK0NAQ9vb2Sj+2trbMolKJ9/LIJqU1o7KTUbtgYGmr48iIiKikGjNmDLp3747z58/Dz88Pbdu2RVBQECwsLLB27VrUrl2bSx0QEZFOGFsYof/qj1Glubui7vya69j62QHIM+U6jIxKM5USUjnu3LmDTz/9FC1atMDkyZMBAM+fPy/SAp5ExUX08a3ZT9PLWTPK0w9+c3ZA39xat4EREVGJtW/fPixcuBCTJk3Cy5cvcenSJfz99984fPgwHjx4gBs3biAgIAB9+vRBamqqrsMlIqIyyMBYH72WtId/xyqKumu77mLdsL3ITJPpMDIqrVROSO3YsQMBAQFYu3Ytnj59inv37gEAHBwc8NVXX+H58+cqB0mkLTEndyJszlAgKwtA9gLm/j/s5pVRRESkksWLF2PUqFGYM2cOrK2tc2339fXFgQMHYGBggB07dmg/QCIiIgBSAym6/vIR6vX2V9TdPfYIK/vuQFpiug4jo9JIpYRUamoqBg8ejIkTJ+L58+f4/vvvFdv09fXRpUsXrF27VuUgibQh9t+9CJs9CMjKviTVtFJV+M3lbXpERKQaIQROnTqFCRMmFNjOwsICw4cPxz///KOlyIiIiHLT05Og48xmCBxVV1H3+EIklvXchjdxKTqMjEoblRJS58+fh5OTE2bNmgUDA4Nca0d5e3vjxo0bKgVIpA1x5w7gzqz+EPLsS1FNXL3hP28PDG0cdBwZERGVdC9fvoSxsTHc3Nze2bZevXqKq82JiIh0RSKRoNXERvho8oeKuqib0fiz6xbERyXpMDIqTVRKSCUmJsLFxUVR/m9CKiMjQ5XuibTi9eVjuD2jD4QsEwBgUsHz/5NRjjqOjIiISoPExETY2RXuCa12dnZISEjQcERERESF8+HQ2vh4bhAketmf9WMfvsafIZsR+/C1jiOj0kClhFSlSpVw5coVJCcnA8idkDpx4gS8vLxUOQSRRiXcPItb03pCZGYnT43Lu8F/3h4Y2TnpODIiIiotMjIyoKdXuFMuqVTKL/SIiKhYqfOJL7ovbAupQfbfsoSoJPzVbQte3ovTcWRU0umrsrO/vz8cHBzQo0cPLFmyRFEvhMCiRYuwY8cOzJo1S+UgiTQhOfwabn3dDVnp2U8zMnJ0hf/8vTByqKDjyIiIqLRJSEjAxo0b39kuIiJCC9EQEREVjW9bLxiZG2LdsD3ITJUhOTYFS7tvxYA1H8O5Ou8sofejUkJKIpFg9erVaNWqFVxcXGBnZweZTAYbGxskJCRg/vz58Pb2VlesRGqTHnEf92b2hDwlEQBgYOMI/7m7YOzoquPIiIioNIqIiECPHj0K1bZ69eoajoaIiKjovJpUQv/VH2P1gF1IT85AyqtULOuxDQPWfAyXGrzDhIpOpYQUANSpUwfXr1/Hr7/+irNnzyI1NRWenp4YOnQogoKC1BEjkVqlPX+MJ9/1hSzxFQBA38Ia/nN3wsTFU8eRERFRaVSxYkVs2bKl0O2trKw0GA0REdH7c6tbAQPWdsHKvjuQlpiOtMR0LO+1Hf1WdkalOs66Do9KGJUTUgDg4uKCefPmqaMrIo1Kj43Cra8+hiw+GgAgNTGH7+ztMHPnt9FERKQZlpaWCAkJ0XUYREREauEa4ISB64Oxss92pLxOQ3pyBlb23YE+yzrCoyHvOKHCU2lRc6KSJCM+Fte/6IT0l08BAHqGxqg+cyMsq9bWcWREREREVBqlp6fj999/x40bN3QdCpFaVfB1xOCNITCzNwUAZKRkYlX/nbh/8omOI6OSpMhXSB05cgQTJkwodPuWLVvy6inSOdmbBNz86mOkPruXXSHVR5WvV8K6xoe6DYyIiEq9hIQE7N+/v9Dtra2t8dFHH2kwItKGtWvXwt3dHY0aNcqzrMljqdqO1Gf9+vWIj4/n2nBUKpWrYo8hG0OwrNc2JL18A1m6HGsG70bP39uhagsPXYdHJYBabtnLS3R0NJ4/f47KlStr6hBEhZKVkYZbU3siOfx6doWeHlxG/wybei11GxgREZUJz549K/SC5kD2ouZMSJV8N27cgL6+fr5lTR5r9erV8PLyQsOGDQtsR5p18+ZNXLt2DTNnzoSeHm9ModLJobIthmzuiuU9tyE+MgnyDDnWDduLT35rA982XroOj4q5Iv9FCgoKQmhoaL7bExMTMWfOHPzyyy8wNjZGs2bNVImPSCVCLsed2YOQcP20os5z7C8wqt9Wh1EREVFZwkXNy6bevXvD2tpaJ8e6fv06jI2NcyWktBkTAQYGBvjqq69gYWGh61CINMqukjUGb8pOSr16moAsWRY2jd4H+U+tUaNTVV2HR8WY2r4iyczMxO+//46ZM2fi1atX6N27N2bNmgVXVy5qRrohhMD9BZ8h7t+9ijr3wdNRrnUvxMfH6y4wIiIqU7ioefERFxeHf/75B9HR0bC0tETdunXh5aX8DX5ERAROnz6N2NhY2NjYoFmzZnB2/t+To9asWYPmzZujRo0airqrV6/i0qVLGDJkiKLu2rVrcHd3L/K5cEREBM6cOYPY2Fg4OjqiefPmsLW1BQCsWLEC1atXhxAC169fh1wux/Dhw5WOtXbtWrx+/RoXL15EVFQUAKBz585wc3PLM6bLly/j8uXLyMrKQvXq1WFhYYELFy5g6NChijZLlixBQEAA6tevX+CYCzN/eXl7XGFhYUhNTUVAQAAaNGiQb7u3xy+TyXDq1CncvXsXAFC5cmU0adIEhoaGALLv3Fi/fj26deuGq1evIjIyEsbGxmjatCkqVqyodIy3+8rKyoKzszNatWqldGVZWFgYLl68iOTkZJQvXx7NmjVTSiQLIXD58mVcv34daWlpqFSpElq0aAFjY+MC54GoJLNxscTg/79SKvbha2TJBbZ8dhAAmJSifKnl2tEtW7agWrVqGDduHGrWrIkrV65g1apVKiejsrKyEBYWhps3byI9Pb3I+6empuLmzZt4/PgxZDKZSrFQyfNk1Xd4sW+VolwheDRcuo3TYURERESkKwkJCZgyZQqePn2K6tWrw8bGBhs2bMDFixcVbf79919MnjwZMTEx8PX1RVpaGqZMmYJHjx4p2ly/fh0xMTFKfb948QJXr15Vqrtx4waePXtWpBhPnTqFyZMnIzY2Fj4+PpBKpZgzZw5SU1MBAKGhoVi+fDmOHj2KypUro27durmOVaNGDZiYmKBChQpo2LAhGjZsCBsbmzxj2rt3LxYsWABra2tUqVIF//zzD37//XdcvnxZKa7Lly/j1atX7xxzYeYvL6GhoVi2bBn2798PV1dX2NvbY8mSJdi8eXOudv8df1ZWFubMmYPt27ejUqVKcHd3x969ezFz5kzF+X9ycjIuXryIGTNm4MWLF6hSpQoSEhIwdepU3L9/X9F/Xn0dO3YMs2fPVvR1/vx5zJkzByYmJvDz84NMJsOsWbMUr5EQAgsXLsTixYthaWmJatWq4cKFC5gxYwY/j1CpZ+VkjsEbQ+DobQcAEFnZSanre+7qODIqrlS6QurUqVOYOHEizp8/jxo1auDgwYNo1aqVWgLbvXs3RowYAalUChMTE7x8+RLff/89RowY8c59//33X3z//fc4deoU3Nzc8PLlS6Snp2P06NGYNm0a750vAyJ3LsHTdf9bTN+xxSfwGDoTEolEh1ERERGRrty/fx9v3rzB2LFjFev5fPTRR0hOTgYAvHnzBsuXL0ejRo0wbNgwAEDTpk0hl8uxbt06TJkyRaPxJSUlYcWKFWjXrh0++eQTRX3r1q1hYGCgKFtbW+PLL7/Md00iPz8/GBsbw9nZWemKpv9KTEzE9u3b0atXL8X5e5MmTTBp0iQkJSUVOX5V58/Q0BBff/21YqyOjo5YunQpmjVrBgcHB0W7/44/52qmuXPnKq7EqlWrFiZMmICjR4+idevWin3r1auHgQMHAgACAwMxf/58rFu3Dt9++y2A7M8Qb/clk8ng6emJ7777TtHX5cuXUatWLaWrHtu0aaOI+9y5czh37hwmTJiAmjVrAgA++OADjB8/HseOHVPbZyWi4srC0QyD1gdjWc9tiL4Xl52U+vQAJBIJ/Np76zo8Kmbe6wqpsLAwdO7cGU2aNEFUVBRWrlyJK1euqO0X7MWLFxESEoLevXvjyZMnuHv3Ln7++WeMHDkSW7dufef+N27cwBdffIH4+Hhcu3YNz58/x6xZszBr1izFHxwqvaJPbMODxZMUZZu6LeE9YREkXEySiIiozKpYsSL09PSwbNky3Lt3D5mZmZBIJIr1fe7cuYO0tDQEBQUp7ffBBx/gzp0773W1flHkHOO/66+ampoqfZnq7++vlgWyHz58iPT0dKXb4qRSqeKqq6JSdf5q1aqllHirX78+5HI5wsPDldr9d/x37tyBm5ub0m2BDg4O8PLywp07d5T2/W+Crn79+ggPD0dmZma+fdna2qJy5cqKvjw8PHD9+nXs378fz58/BwCYmZkpXqOrV6/Czs5OkYwCACMjI9SqVavAdXiJShNze1MMWh8MR6/s242z5AKbx+3HzX3337EnlTVFvlTo+PHjivuoJ02ahE8//RTGxsZITEzMs72hoSFMTU2LdIxZs2bBysoKM2f+74qWAQMGYMmSJZg6deo712EYPny4UlkikWDUqFH47rvvsG/fPsyaNatI8VDJ8fryMdydOwwQAgBgUa0ufL5ZBT19g3fsSURERKWZo6Mjpk+fjqNHj+Kvv/5CbGwsatSogd69e8Pe3l5xpdTOnTshlUoV++XcihUTEwMnJyeNxZeSkgIA71wA28TERC3Hy7kKyszMTKn+v+XCKsz8ubi45Lv/f49rZGQEAwODXJ8x/jv+pKQkmJub5+rP3Nw815VeeY1VCIHk5GTY2NgUqq/WrVvDysoK586dw+7du6Gnp4fAwECEhIRAT08PycnJyMjIwC+//KLUR2RkZL5jJyqNcpJSS3tsQ0z4K2TJBTaN2QeJXjtU/6iyrsOjYqLICam4uDjIZDLIZDLMnTsXc+fOLbB9cHBwoa5qyiGXy3H48GG0bdtWsRBhjlatWmHmzJl4/Pgx3NzcihT3mzdvkJiYmOtpI1R6JN0Pxe3pfSBk2d9ymVasAt9ZmyE1eb8TKyIiIipdKlWqpLhlKy4uDr/88gtWrlyJCRMmKG4Lq1mzZq7ERfPmzRXrMBkYGCiuqMnxPre4/VfO8SMjI1G5smof1gqzREHO8V6+fKl0RdDLly9ztTU0NHznmAs7f/n573Hj4uKQmZmpdLteXhwdHXHlypVc9S9evIC7u3uuY7z9GeLly5cwNDRUPHmwoL48PDwAZM9tztpcQgjcvn0bP/zwA5ycnNCkSRM4ODggOjo6z88cRkZGBY6FqLQxd/j/2/d6bEXMg+yFzjeO3ocei9rCpzWTUvQeCSkvLy+MG1f4haEDAgKK1P/Tp0+Rmpqq+KX/tpy6sLCwQiWkrl69itTUVERGRmLBggVwdXXFDz/8UOA+0dHRuRaqzLlUOCcRp24ymQxyuZwLHaog7eUz3Py6G+Sp2d/OGdo7o9qsLZCYWuaaV8639nHOtY9zrn2cc+3T9JxzzcnS5e7duzA0NFQkKezs7JSujKpatSoqVKiAyMhI9OrVS3FbWFpaGs6dOwczMzPIZDI4OTnh1q1b+OijjyCRSJCQkIDTp0+rHF/VqlXh7OyMTZs24bPPPlPcYXDlyhX4+PgU6QltlpaW+d69kKNy5cpwcnLCjh07MGLECOjp6SEqKgpnzpzJ9d53dnbG3bt3If7/CvS8xlyY+SvI5cuX8eTJE1SqVAlCCGzfvh02NjaoXr16gfs1btwYBw8exD///IPAwEAA2QuPP3v2DH379lVq+/fff6NGjRowNjZGUlISDh8+jEaNGikSeHn1dfXqVURERKBfv34AsteZ8vf3h4WFBSQSCdzd3WFgYKC4JbFZs2Y4deoUzMzM4Ovrqzj2ixcv8OLFiwLHQlQaWTiaYeCGECzrvjX76XuyLGwYtQ89FreDTytPXYdHOlbkM60aNWrkugRVnRISEgAgz8tlcy5hzmnzLtOmTcPz58/x5MkTyGQyfPfdd3kmut62ePFiTJ8+Pc9tSUlJiI+PL9Sxi0IulytOht6+xJkKR/4mEY+ndUPm6+xv1vTMLOE6aTlSDcyQmsfrxfnWPs659nHOtY9zrn2annN7e3u190m6Y2xsjGXLliE1NRXlypVDbGwskpOT8dlnnwHIfg9NnDgRixYtwtixY+Hq6oq0tDTExMQorYvUvn17LF26FF9++SVsbGzw4sULODs74+nTpyrFJ5VK8fnnn2PBggX47LPP4Obmhvj4eDg6OsLPz69IfX344YdYuXIl4uLiYGRkhM6dO+f6MldfXx9Dhw7FTz/9hIkTJ8Le3h4RERGoXLkyHj9+rNQ2JCQEP//8M6ZMmZLvmAs7f/mpXLky5s2bB2dnZ7x+/Rrx8fEYM2bMO68qcnd3R69evbBixQocO3YMenp6ePToEUJCQuDj46PU1sbGBhMmTICLiwseP34MOzs7dOvWLd++JBIJHj16hC5duij6yszMxJQpU2BlZQULCws8fPgQnp6eaNy4MQDAzc0NI0aMwKJFi2BtbQ1bW1vExcVBCJErQUZUVlg6mmHQhmAs7b4VcY/ikSXLwsZRf6PH7+1RLajgz+dUuklEzlcdxcStW7fg6+uLqVOn5koMbdq0Cd27d8e2bdvQpUuXQvcphMCqVaswcOBAjBkzBr/++mu+bfO7Qqpz584IDQ1957c070MmkyEhIQFWVlb8NraIsjLScfubbki8nv0tnUTfED7fbYWVf6N89+F8ax/nXPs459rHOdc+Tc85X8f3l3M+d/PmTY2cO6kiKioKL1++hIWFBdzd3fNMZkZGRirauLq6Kq5OkslkiI+Ph4GBAZ49ewYDAwNUrFgRCQkJiIqKQq1atRR93LhxA9bW1nB1dc2znB8hBJ48eYJXr17ByclJ6Xa60NBQODo6KtXl13dMTAwiIyORnp6OqlWrwsrKKs92aWlpuHfvHoQQ8PDwwNmzZ7Ft2zYsWbJE0UYmkyEqKgqvX7+GsbFxvmN+1/zlZ9y4cWjatClat26NZ8+eITU1Fd7e3rnWoc1v/ED2F8cPHz6EEALu7u6wsrJSbHv48CG++eYbzJs3D0ZGRoiMjISRkRG8vLzyXCA+py+ZTAYbGxtUrFhR6fdBRkYGnj59iuTkZJQrVw7ly5fP1YdMJsPDhw+RnJysiFkdi9FrQ8773Nraukz9HuS4NT/uhBfJWNZ9K+IexwMApAZ66PlHe1Rtof2kFF/v4jFu3UfwHzmLRf43KQQAsbGxSm0KSyKRoH///ti+fTsWLVqEH374Id9vWxwdHeHo6JjnNn19fY29aFKpVKP9l0ZCCIQv+FSRjAKAKhMXw65W4Dv35XxrH+dc+zjn2sc51z7OORWVs7NzngmNt1WoUAEVKlTId/t/b8cyMTHJdX7636uaCnuVk0QigZubW57LU+S3FEZefTs4OORafymvdsbGxvD3939nXKampnB2dlb8X8trzDneNX8FHaNKlSr5bi9oKRALCwvUqFHjncews7ODnZ1dgW1y+sr54PZfhoaG71znS19fH97efMQ90dusnMwVV0q9epIAeWYW1o/4G33+6gCvQDddh0c6UOzS9HZ2dnBzc8P169dzbQsNDYWhoWGh/mjmpVy5cpDL5YW+5Y+Kt8crZyH66GZF2W3gVDg276rDiIiIiIiIiCg/VuUtMGhDCGwrZl/FKM+QY92wvXh0PkLHkZEuFLuEFAD06dMHZ8+exb179xR1CQkJ2LFjB7p06aK0vlRERATOnTuneNKHEELx2Ny3JScn48iRI/D29s73CigqOZ7vW4Vn6+cryk7t+sO1+3gdRkRERERU8tWoUQPDhg3T6jEHDBiA+vXra6z/cuXKYezYse980h8RaYe1swUGbQiGdYXsNaIz02RYM2g3Iq5x4f+yplgmpCZOnAhfX1907NgR27Ztw/79+9GhQwcYGRnlekreH3/8gYYNG+LatWsAshcazFmDavv27Th+/Dj++usvfPDBB3j16hWWL1+uiyGRGr26eAT3f/1MUbat1wpeY34s1COOiYiISqszZ86gRYsWsLa2hr29Pbp164ZHjx4VuZ/09HQEBARAX18fo0aN0kCkVJyVK1cuz3WhNCkgIOCdt1GqwszMDPXr14eJiYnGjkFERWNdwRID1wXD3CF7rbj05Ays7LsDL8JidRwZaVOxTEhZWFjgzJkz6Nu3L/7880/Mnz8fDRs2xNWrV3MtBOnq6or69evD0tISQPY93VeuXIGNjQ02bdqEqVOnYu/evejevTvu3r2LRo3yX+yair/khzdxZ2Y/IEsOADD3qoFqU1ZAIuXaIUREVHadO3cOzZs3h7e3N+7fv4+LFy8iPj4ejRs3xsuXL4vU1zfffIMXL15ALpdDLpdrKGIiIirr7NysMXBtF5jaZD/4IDUhHSt6b0fsw9c6joy0RW2f4uPi4vDs2TOkpaUp1dvZ2cHLy6vI/ZmZmWHy5MmYPHlyge2GDRuW67Jia2trxSN8qfTIePUSt6Z8Anlq9iO+jRxdUX3mZkhNzN+xJxERUen2+eefw9XVFQsXLoRUKoWDgwPWrVsHV1dXzJ49u8AnDL/t1KlT+Omnn7B+/Xp88sknGo6aiIjKunJV7NF/9cdY1nMb0pMykBybguW9t2PI5q6wcbHUdXikYSpfIXXu3DnUq1cP9vb2qFmzJho2bKj089VXX6kjTirjsjLScGtaT6THZC92JzW1gO93W2BkV7QnLhIREZU2z58/x5kzZ9CpUydIpVJFvYODAz788ENs3ry5gL3/JykpCf369cOAAQPQvHlzTYVLRESkpIJfOfRb0RkGJtnXyyREJWF5r21IjH6j48hI01S6QiopKQlt27aFi4sL5s+fD1dXVxgaGiq1eZ9HvhK9TQiBu/NHISnsUnaFnh6qTVkJM7dqug2MiIioGLhx4wYAoGrVqrm2+fj44MiRI4iJiYGDg0OB/Xz66adIS0vD/PnzkZmZqZFYiYiI8lKpjjN6/9URqwfugjxDjldPErCi1zYM3tQVZrZc/620UikhdebMGZibm+PcuXMwNTVVV0xESp6um4eY41sVZc/h38O2bpAOIyIiIio+YmOzF4C1trbOtS2nLi4ursCE1J49e7B8+XLs2LEDVlZWij4LIzo6GjExMUp14eHhAIAvvvgiz7j69++PZs2aAQCOHz+OlStX5tv/qlWrFP+eOnUqnjx5kme7wMBADBw4EADw6NEjfPvtt/n2+e2338Ld3R0AsHz5cvzzzz95tqtUqRJmzJihKPfr1y/fPkvzmGQyGU6fPo0tW7aUmjEB736dli1bBrlcDplMVmrGVNjXqUGDBhgyZAiA0jOm0vg6lcYxBfSohcS1+siSCzyLeoahYwaX+DEVp9fp6NGjWL16db5tVR3TunXr8u07LyolpPT19VGtWjUmo0hjYv7ZjiervlOUy7cbAOfO2n0UMRERUUmQ19Nmc+qEEPnuFxMTgyFDhqBr167o3LlzkY+7ePFiTJ8+vUj7pKamIj4+XvHvguS0A1DgIusZGRmKtsnJyQX2mZycrGibkZGRbzu5XK50/IKU5jHJ5XKkp6cX2LakjSnn3wVJSEhQxFhaxlTY1ykzMxMJCQmQSqWlZkyl8XUqjWMycTDCBzMaYN+U0+88fkkZU2l8nYoypoJIREFnKO+QlpaGBg0a4OTJk4qn3JVGt27dgq+vL27evInq1aurvX+ZTIb4+HhYW1tDX59Pi8uRdPcyro1vi6yM7IXyrWsGwnf2NujpG6jUL+db+zjn2sc51z7OufZxzrMdOHAAbdq0wdKlSzFo0CClbePGjcOCBQvw8uVLODo65rn/iBEjsHnzZty+fRvlypUDkH3VlYODA4YNG4Y//vijwOPnd4VU586dERoaqpFzJ12RyWRISEiAlZVVmXrPcdwcd1nAcRevcV/Zchu7vjqmKHs2dkXPP9tD31BawF6FV1zHrWmaHndR+1QpAmNjY6xcuRKjR4/G8OHDUatWLRgbG6vSJREAID0mErem9lQko0xcKqPaN6tUTkYRERGVNn5+fgCAsLCwXNvCwsLg6OiYbzIKyL5C6vXr13mu+/nnn39i6dKlWL16NXr27Jnn/gX1r6+vX+pO9KVSaakc17tw3Bx3WcBxF59x1+vhD1maHH9Pz75l7cHpZ9g16Si6/toGenq5rwh+H8Vx3NpQnMat0lP2duzYgQYNGmDjxo1o1KgRTE1NYWxsrPST38kLUX7kaSm4NbU7Ml69AADoW1jDd+ZmGFjY6DgyIiKi4qdChQqoV68e9uzZg6ysLEV9XFwcTp06heDg4AL337x5MzIyMpCWlqb4iYyMBAAMGTIEaWlp6NGjh0bHQERE9F8fDKiJ5p82UJSv77mHv6efKPA2dCpZVEqJeXh4YPjw4QW2CQgIUOUQVMYIIXDvx9FIDr8OAJBI9eEzdQ1MXDx1HBkREVHxNW/ePLRo0QLjx4/HzJkz8ebNGwwePBjm5ub4+uuvldoGBwdj165diIuLg5WVFfT09KCnp/wdpVSafUuERCIpFt+gEhFR2dR8XH28eZWK86uvAQDOrboGMztTNB9bX8eRkTqodIZRo0YN/PLLL2oKhQiI2LIAMSe2KcqVx8yHdUATHUZERERU/DVp0gQHDx7ElClT4ODgAH19fTRr1gwnT57MdSueXC6HXC7nN8xERFTsSSQStP+2KVJepeLG3nsAgKM/nYWZjTHq96mh4+hIVWr9yisqKgrp6elwdnaGkZGROrumMuDVxSN4tOxbRbl8+4Eo326A7gIiIiIqQZo3b44zZ868s9327duRlZVV4JVP9vb2yMzMzHXlFBERkbbp6UkQ8lNrpCakIfzUUwDAnqnHYWprAr923jqOjlSh8llGVlYW5s6dCycnJ1SoUAEeHh6wsrJCjx498PLlS3XESGVAauQDhM0eCPz/2heW1RvAc+RcHUdFRERU+ujp6RXqNjx9fX0mpIiIqFjQN5Si5x/t4VIj+2mwQgBbPj2A8NNPdRwZqULls4xJkybhyy+/RJUqVTBx4kR8++23CAkJwc6dO9GsWTOkpqaqI04qxeSpybj1bS/IkhMAAIb2zvCZuhp6BoY6joyIiIiIiIiKAyMzQ/Rd0RkOntkPu5JnZmHd0D2IuPZCx5HR+1IpIRUbG4tff/0Va9euxT///IMffvgB06ZNw9q1a3H37l0kJiZizZo16oqVSiEhBO7OG4GUx3cAABIDI1T/di0MbcvpODIiIiIiIiIqTsxsTdB/9cewKm8OAMhIycTqgbsQ9yRet4HRe1EpIXX58mX4+/ujV69eubZVrFgR48aNw7lz51Q5BJVyzzb8iNhTuxVlr3E/w6JKbR1GRERERERERMWVdQVL9F/TBSbWxgCAN3GpWNV/J97Epeg4MioqlRJSmZmZMDMzy3e7mZkZMjMzVTkElWJx5w/i8cpZirJz52Fwap07uUlERERERESUw7GyLfos7Qh9QykAIO5RPNYM2o2MVOYfShKVElI+Pj44f/48rl69mmtbRkYGVq1aBR8fH1UOQaVUauQDhH0/JHs1OgBW/o3hMew7HUdFREREREREJUGlOs7otqANJJLs8rPQF9g0Zj+y5Fm6DYwKTaWElIeHB4KCgtC0aVN8+eWX2LFjBw4dOoRFixahTp06uHv3LgYMGKCuWKmUkKen4vaMvpC/yV7E3MjRFdW+WQU9fQMdR0ZEREREREQlRfWPKqPdtKaKctiRh9gz7QTE/1/4QMXbu5/5+w5r1qxBv379MHfuXKV6d3d37N+/H05OTqoegkqZ8N8m4M3DmwAAiYEhfKauhqG1vY6jIiIiIiIiopKmYf8AJDxPwqkllwEAF9Zeh3V5cwSOqqfjyOhdVE5I2djYYPfu3Xjw4AFCQ0ORkZEBNzc31KtXD1KpVB0xUinyfP9qvDy4VlH2HDkXFlVq6TAiIiIiIiIiKslaTWqMhOfJuL77LgDg0LwzsCxvgZpdquk4MiqISgmpqKgoGBoawt7eHp6envD09FRXXFQKJYdfR/hvExRlx6DuKN+Ot3QSERERERHR+9PTkyB4Xkskx7zBw7MRAIDtXxyGZTkzeDaqqOPoKD8qrSF15swZVKhQAd26dcPBgweRlcXFwyhvsuR43J7RByIzHQBg6lYNXmN/giRnBToiIiIiIiKi96RvpI+ef7RHuSp2AIAsWRbWD9+L6PtxOo6M8qNSQqpRo0YYNWoUTpw4gY8++ghubm6YNm0anjx5oq74qBQQQuDuvJFIe/4YACA1tYDP1DWQmpjpNjAiIiIiIiIqNUysjNFvZWdYlMv+rJmWlIHVA3YhOTZFx5FRXlRKSJUvXx4//fQTIiMjsXXrVvj6+uK7776Du7s7WrVqhU2bNiE9PV1dsVIJFbH5V8Sd+VtR9h7/G0xdvXQYEREREREREZVGVuUt0HdZJxiaZj/F/XVEItYO2Y3MNJmOI6P/UikhlcPAwADBwcHYt28fnjx5gpkzZ+Lhw4fo3r07+vXrp45DUAkVf+00Hi2foShX+HgEHAI/1mFEREREREREVJo5+zqi24I2kOhlLxHz7OoLbJtwCFlZQseR0dvUkpB6W4UKFdCmTRu0bt0a+vr6kMmYhSyrMl5HI2z2QCBLDgCw9KkH9yEz3rEXERERERERkWqqBXmg7ZQmivKNvfdw9KezOoyI/kulp+y97dWrV1i3bh2WL1+O0NBQmJqaomfPnhgzZoy6DkEliMjKwt0fhiPj1UsAgIGVHapNWQk9A0MdR0ZERERERERlQcMBAYh99Brn11wHAJxYeAF2btbw7+yt48gIUDEhlZWVhaNHj2L58uXYsWMH0tPTUbt2bfz+++/o2bMnLC0t1RUnlTARW3/D60tHFeUqX/4FI4cKOoyIiIiIiIiIyhKJRIJ205ri9bNE3DvxGACw86sjsHAyhU1Vc90GR6rdsrdjxw60atUKBw8exJAhQ3Dt2jVcunQJw4cPZzKqDEsMu4zHb60b5dJtHGzrtNBhRERERERERFQWSfX18MlvbVCuqj0AQJ6ZhU2j9uP1k0QdR0YqJaTc3Nywbt06PH/+HL/99hv8/f3VFReVULI3CQibPRBCnr12mEXVOnAb8I2OoyIiIiIiIqKyytjCCH2XdYS5gykAIDUhHbs+O47UxHQdR1a2qZSQql27Nnr27AkjIyN1xUMlmBAC93/5DGnPHwMApKaWqDp5GfT0DXQbGBEREREREZVp1hUs0WdZJxgYZ69c9PppEraOOwi5LEvHkZVdan/KHpVdLw+uRcyJbYqy12e/wKS8m+4CIiIiIiIiIvp/Lv7l0GVeS0U5/NRTHJxzWocRlW3FOiElk8lw8+ZNhIaGIi0trcj7x8bG4sqVK3jx4oUGoqO3pTy5i/BFXyjKTm36wrFpsA4jIiIiIiIiIlLm36EKmoyqoyj/u/QKrmy5pcOIyq5im5Davn07XFxc0KFDB/Tq1QuOjo747bffCrXvggUL4OfnB3d3dwwePBjVqlWDj48PDhw4oOGoy6asjDTcmT0QWWkpAADTilXgOXKujqMiIiIiIiIiyq3ZuPrwbOqqKO/8+hieXI7SYURlU7FMSF24cAGffPIJBg4ciEePHuHWrVtYuHAhxo4di82bN79z/88++wwdOnTA8+fPceXKFURFRaFmzZpo3749/v33Xy2MoGx5uGQK3jy8CQCQGBih2pQVkBqb6jgqIiIiIiIiotz09CT4aMYHKFfFDgAgz5Bj3bC9iI/kk/e0qVgmpGbNmgUbGxtMnz5dUde3b180aNAA06ZNe+f+W7ZswezZs2Fubg4AMDExwa+//gq5XI5ly5ZpLO6yKO78QUTt/ktR9hwxG2bu1XUYEREREREREVHBDE0N0GNJO5jamgAA3sSmYO3QPchIydRxZGWHWhJS165dw/Dhw9GoUSNMnDgRABAVFYW1a9cWuS+5XI7Dhw+jSZMmMDBQfjpbq1atEBYWhkePHhXYR5cuXXLVGRsbQyKR4PXr10WOifKWmRCHez+OVpTtGrVH+faDdBgRERERERERUeHYuFii5+J20NPPTo08vxWDbRMPQQih48jKBn1VO9i0aRN69+4NBwcH2NjYKJJF5cqVw4wZM9C0aVO4uLgUur8nT54gLS0NHh4euba5u7sDAO7evav4d2EtX74cQgh88MEHBbaLjo5GTEyMUl14eDiA7EXWZTJZkY5bGDKZDHK5XCN9a4oQAnd/GoPM19EAAAObcvAY8xPkcrmOI3u3kjjfJR3nXPs459rHOdc+Tc+5vr7Kp0lERERUzLk3cEGHGc2wa/JRAMDNv+/jRLWLaDa6no4jK/1UOtNKSUnB8OHDMW3aNHz11VfYsWMHNm7cCACQSqXo0qUL1q9fjy+++OIdPf1PYmL2PZs5t9u9zcLCAgCQkJBQpDjv3LmDr7/+GpUqVcKIESMKbLt48WKlWwXflpSUhPj4+CIduzDkcjmSk5MBZM9bSRD/zza8OvO3ouw0dDbeCCmggflRt5I43yUd51z7OOfaxznXPk3Pub29vdr7JCIiouKnXk8/vLwbi3OrrgEAjv54Bi5+jvAKdNNtYKWcSgmp8+fPw8XFBVOmTAEASCQSpe3e3t44ceJEkfrMuU0vryttcr4BNTQ0LHR/ERERaNu2LSQSCbZt25ZnouttI0eORNeuXZXqwsPD0blzZ1hYWMDa2rrQxy6snHFZWVmViG9j014+xctVMxTlcu0GwLVpZ90FVEQlbb5LA8659nHOtY9zrn2ccyIiIlKXtlOa4GVYLB6dj4QQwKax+zFyT0/YVrTSdWillkpnb0lJSShfvryi/N+EVGpqaq66d3FycgKAXLfNvV2X0+ZdXr58iaCgIMTGxuLAgQOoXbv2O/dxdHSEo6Njntv09fU1dsIrlUo12r+6CLkc4T+Ogjw1+xtpkwqeqDzsO0iLedz/VVLmuzThnGsf51z7OOfaxzknIiIidZAaSNF9YVss6rABiS+SkZqQjnXD9mDY9k9gaGLw7g6oyFRa1NzNzQ1XrlxR3Gb33+TTsWPH4O3tXaQ+7ezs4O7ujmvXruXaFhoaCiMjI/j5+b2zn9jYWAQFBSEiIgL79u1Do0aNihQH5S1i20Ik3jiTXdCTosqkPyE1MdNtUEREREREREQqMncwQ8/f20FqmL0UwIs7sdj51VEucq4hKiWk/Pz84OzsjK5duyo9+U4mk2H+/PnYs2cPunfvXuR++/Tpg3PnziEsLExRFx8fj+3btyM4OFjptrunT5/i9OnTiqRYTttWrVrh0aNH2LdvHz788MP3HCG9LfnBDTxeMVNRrthzAiyr1dFhRERERERERETq41qzPNp/21RRvrYzDGdXhuosntJMpevbJRIJ1qxZg6CgIHh4eMDS0hJA9loOqampWLBgATw9PYvc78SJE7Fnzx506NABs2bNgqmpKebMmQMzMzP88MMPSm3//PNPfPfddzh16hQaN26MzMxMtGnTBlevXsV3330HPT09nD59WtHe0tIS/v7+qgy7TMrKSMPducMgZJkAAHPvmqjYa6KOoyIiIiIiIiJSr7o9fBFx7QUub7oFANj/3SmU93GAe30XHUdWuqi84EKNGjVw48YNLFq0CGfPnkVqaio8PT0xZMiQ974yydzcHKdPn8bChQuxevVqyGQyNG3aFJ999lmuJ95UqlQJjRo1gpVV9kJjKSkpkEqlaNSoEfbt24d9+/Ypta9evTqWLFnyfoMtwx6vnIU3j7L/M+oZmaDql39BT5/30RIREREREVHpIpFI0GF6M7wIi0XktZfIkmVh46h9GLm3J6ycCn5QGhWeWlYAdXJywsyZM9/dsAhMTU3xxRdf4Isvviiw3ZAhQzBkyBBF2crKSumKKFJdws1ziNi6UFH2GDITpq5eOoyIiIiIiIiISHMMjPXR8/f2WNxhPd7EpSI5NgUbRuzF4I0h0Dfiw1TUQaU1pKj0k6en4t78kcD/L+JmXasZynccrOOoiIiIiIiIiDTL2tkC3X9rC4le9gPcnl19gf2zT+k4qtKjSAmp3bt3w9raukg//fr101TspAVPVs5CauQDAIDU1ALeny/M9TRFIiIiIiIiotLI4wNXfPRVY0X53KpruPH3PR1GVHoU6TozV1fXPJ+ad+TIEcjlctSqVQumpqYIDw/HtWvX0K1bN3zwwQdqC5a0K/H2BURsW6QoewybBWNHLuJGREREREREZUejwbXw5FIUbh/Mvlhjx6QjKO/jAHt3Gx1HVrIVKSFVs2ZN/PHHH0p1kyZNwpAhQzBx4kTo6f3vgqsLFy5g0qRJWLBggXoiJa2Sp6firtKtek3h1IZXuxEREREREVHZIpFI0OWHlnhxJxavniYgPTkDG0ftw7Dtn8DAmOtJvS+V1pB6+PAhDhw4gEmTJiklowCgXr16aNGiBX7//XeVAiTdeLL6e6Q+uw8AkJqYw3v8b7xVj4iIiIiIiMokEytjdF/cDlJDKQDg+e0Y/D39hG6DKuFUSkjdvn0bdnZ2+W53cHDAzZs3VTkE6UBi2GVEbP1NUXYfOhPG5SrqMCIiIiIiIiIi3arg64h23zRRlC9uuInQnWE6jKhkUykhVb58eZw/fx737uVe0Esmk2H9+vVwdnZW5RCkZVmZGbj342ggKwsAYB3QBOXbDdBxVERERERERES6V6+3P/w7eCvKuyYfRXT4Kx1GVHKplJCqVasWAgIC8OGHH2LWrFk4cOAATp48iRUrVqBRo0a4ePEiBg0apK5YSQuebf4VKY9vAwD0jM3gxVv1iIiIiIiIiABkryfV+fsg2HtkL2iekZKJDSP/RkZKpo4jK3lUWn1LIpFg586d6NevH7755hulbZUqVcK+ffvg7e2dz95U3KQ8u4+n635QlN0GTIFJeTfdBURERERERERUzBiZG6LHorb4vfNGyNLliL4Xhz1TjyN4fitdh1aiqLwcvIODA/bt24cHDx7g6tWryMjIgLu7O+rVqwepVKqOGEkLRFYW7v88DiIzAwBg7l0TFToN03FURERERERERMWPUzUHdJjZHDu+OAwAuLL1NtwbuKBWiI+OIys51PZ8Qk9PT3h6eqqrO9KyFwdWI+HGv9kFPWn2U/WYUCQiIiIiIiLKU+2uPnh8LgJXt98BAOyZehyV6jjDzs1at4GVECqtIUWlQ3rcCzz8c6qi7Np1DMw9/XQYEREREREREVHxJpFI0HFWc6X1pDaN3Q9ZhlzHkZUMTEgRHiyeBPmbBACAsbM7Kvb5UscRERERERERERV/hqYG6LagDaQG2emVyOsvcfSnszqOqmRgQqqMizt3ALEndyrKXuN+htTIRHcBEREREREREZUgFXwd0WpSY0X51JJLePDvUx1GVDKobQ0pKnnkaSkIXzRRUS7XsidsajXTYURERET0vtLT07F+/XpcvnwZ+vr6aN68OTp27FiofbOysnD48GGcP38eL1++RKVKldChQwdUq1ZNw1ETERGVDh8MrInwk09w/+QTCAFs+ewgxhzoDTNbXvCRH14hVYY92/gT0l9kZ231LWzgMWyWjiMiIiKi9/H69Ws0aNAA3333HTw9PWFnZ4cBAwagW7duyMrKKnDfiIgIuLu7o0ePHkhISICPjw+uXbsGf39/fP3111oaARERUcmmpydB8PxWMLM3BQAkRb/B9i8OQwih48iKL7VcIfXy5UusWbMGN27cgL+/Pz7//HPExMTgzp07aNKkiToOQWqW8uw+nm3+VVF2H/wtDKzsdBgRERERva8vv/wS4eHhuHv3LpydnQEAgYGBCAwMRFBQEIYOHZrvvvHx8fD09MT69evh5OQEABg1ahQ8PT0xc+ZMBAUFoVkzXkFNRET0LhaOZgie1xKrB+wCAIQdeYjza6+jQZ8aOo6seFL5CqmTJ0+iatWqmDRpEvbu3YuzZ7MX77KwsEDfvn3x+vVrlYMk9RJCIHzhBIjMDACARdU6cPqor46jIiIioveRkpKCtWvXonPnzopkFAA0adIEfn5+WLJkSYH7V6pUCQcOHFAko3J06dIFAHD8+HH1B01ERFRKVWnmjg8GBCjK+2edxMu7sboLqBhTKSGVmZmJnj17okuXLoiNjVU64TE2NkanTp2wbt06lYMk9Yo9uQPxV05kF/T04DXuJ0j0ePcmERFRSXTt2jWkpKSgTp06ubbVrVsXoaGhSE1NzXd/CwsLGBoa5qp/+PChYjsREREVXusvG8Opmj0AQJYux8Yx+5GZJtNxVMWPSrfsXbhwAUZGRvjzzz8hlUohkUiUtlerVg0XLlxQKUBSL9mbRDxY/JWi7NxxCMwr8/JBIiKikioiIgIAcl3hBADly5dHVlYWIiMjUbly5UL3mZGRgenTp8PAwADBwcEFto2OjkZMTIxSXXh4OABAJpNBJis9J+AymQxyubxUjakwOG6OuyzguDlutZICIT+3wpLOm5GZJkP0vTgcmHMKbaZ8qJnjFZKmx62vX7QUk0oJqdjYWHh7e0MqlQJAroSUVCpFRkaGKocgNXuyZg4yXr0AABjYOMKtPxcrJSIiKsnS0tIAAAYGBrm25Vz5lNOmsEaPHo3r16/ju+++g4eHR4FtFy9ejOnTp+e5LSkpCfHx8UU6dnEml8uRnJwMAIrz37KA4+a4ywKOm+NWNwN7PTQZXxtHZ58HAJxbeQ0V6jugYt3cXyBpi6bHbW9vX6T2KiWknJ2dcf36dWRkZMDQ0DBXQurs2bNwd3dX5RCkRm8e30Hkjj8UZc/hs6FvZqXDiIiIiEhV5ubmAJDnbXkpKSkAinbb3eTJk/HXX39hyJAh+Oqrr97ZfuTIkejatatSXXh4ODp37gwLCwtYW1sX+tjFXc43ylZWVkX+Frgk47g57rKA4+a4NeHDAXXw7OxL3Dv+GABwZMY5jNzXA8YWRho7ZkGK2+utUgS1atWCvr4+RowYgd9++01p244dO7BmzRresldMCCHw4PevgCw5AMCqxodwaBai46iIiIhIVTm34j19+jTXtidPnsDIyAguLi6F6mvmzJn4/vvvMWDAACxZsiTXl415cXR0hKOjY57b9PX1i8UJrzpJpdJSOa534bg57rKA4+a4NaHL3JZY0HoNUl6nIeF5Mg7MPI2Qn1pr9JgFKU6vt0orWUulUixduhTr1q2Dk5MTvvrqK5w5cwY+Pj7o0qULPv30U9SsWVNdsZIKXp3dj/gr//+UHD09eI6cU6iTTCIiIirefHx8UK5cOZw8eVKpPisrC6dOnUJgYGChLsufP38+pk6din79+mHp0qU8TyAiIlIDC0czdJrdQlG+uv0Obh0I12FExYfKj1Zr2bIlzp8/j3bt2iEtLQ1yuRzW1tZYsWIF5s2bp44YSUVZGel4sGSyoly+3QCYe/jqMCIiIiJSF6lUik8//RSHDh1SSkr98ccfiIyMxMSJE5XaL1iwAP3791fczgcAixYtwsSJE9G3b18sX74cenz6LhERkdr4tvFCwMdVFeWdXx1BUvQbHUZUPKjlGq0aNWpgw4YN6uiKNCByx+9Ii3oEANA3t4JbPy5kTkREVJp88cUXePToEVq1aoXWrVvjzZs3OH36NH755RcEBQUptT127Bh27dqFX375BaampggNDcWYMWNgZGQEIQQGDhyo1D4wMBADBgzQ5nCIiIhKnfbfNsWjcxFIeJ6MlNdp2PHVEfRZ2rFMX5Gs+5sGSaPS417g6br/XalWqd/XMLCy02FEREREpG56enpYsmQJvvjiC1y5cgX6+vpYv359nms7jR07Fp07d4apqSkAwMnJCcuXL8+3b29vb43FTUREVFaYWBkjeH4rLO+1HQBw9+gjhG6/g5rBPjqOTHeKlJC6dOkSFi5ciLp162LUqFGKckFy2pJuPF4+A/LU7Mc6mlaqivLtB75jDyIiIiqpPD094enpWWCb5s2bK5WdnJzQv39/DUZFREREAODZqCIa9KuBc6uuAQD2Tv8Hnh9WgqWjmY4j040iJaSio6Nx5MgRGBkZKZULktOWtC/p7mW8PLROUfYc8T309A10GBERERERERFR2dV6UmPcO/4Yr54mIC0xHbsmH0XvvzqUyVv3ipSQatu2LSIiIvItU/EhhMCD3/+3kLndB+1gU7t5AXsQERERERERkSYZmhrg47lBWNZjGwAg7MhDXNt1FwGdq75jz9KHj1AppeLO/I3EW+cAABJ9A3gMnanjiIiIiIiIiIjIo6Er6vfxV5T3fnuiTD51Ty0JqQcPHmDSpElo1aoVAgMD0b9/f+zfv1/lfjMzMxEaGopLly4pPZq4sLKysnDp0iWcOHECycnJKsdTUgi5DI+WfasoO3cYDJMKBa8nQURERERERETa0frLxrBxsQQApManYdeUYxBC6Dgq7VI5IbVz5074+vrixx9/xN27dxEdHY0tW7agbdu2GDJkyHv3u2XLFjg7O6Nr164YNGgQHB0d8fPPPxdq3/v372Ps2LGoWLEi2rZti2bNmiE8PPy9Yylpnu9fjdRn9wEAUlNLVOw1UccREREREREREVEOIzNDfDw3SFG+c+gBbuy5p8OItE+lhFRSUhL69++Pjz/+GM+ePcOTJ09w584dvH79GosXL8bKlSuxbdu2Ivd79uxZ9OjRAyNGjMD9+/dx7do1/Pnnnxg/fjw2bNjwzv3v3LmDypUr4+LFixg7duz7DK3Ekqcm48nq7xXlij3Gw8DKTocREREREREREdF/eTaqiLo9/RTlvdNPICU+TYcRaZdKCamzZ8/C2toaq1evRvny5RX1hoaGGDFiBMaMGYN9+/YVud/vvvsOdnZ2mDp1qqKuZ8+eaNiwIb799tt37t+xY0eMHTtWKaayImLrQmS+jgYAGDpUgPPHw3UcERERERERERHl5aOvGsOqvDkA4E1cKvZ/d1LHEWmPSgkpPT09VKlSBfr6eT+sz9fXt8iPLpTL5Th69CiaNGmSq9+WLVvi3r17ePjw4XvHXJplvHqJZ5sXKMpu/adAamSiw4iIiIiIiIiIKD/GFkboMLO5onxly208OPNMhxFpT96ZpEJq2LAhnj17hvj4eFhbW+fafuTIEfTu3btIfT558gRpaWlwd3fPtc3DwwMAcPfuXcW/1S06OhoxMTFKdTnrT8lkMshkMrUfUyaTQS6Xq9z3o1WzkZWWvTK/qXt12AUGayTekk5d802FxznXPs659nHOtU/Tc57fF25ERERE6lQtyAO+bb1wc1/2WtC7Jh/FmAO9YWBcus9FVBqdmZkZVq1ahREjRqBfv36oU6cOTE1N8eDBAyxduhT16tVD27Zti9RnYmIiAMDc3DzXtpy6nDaasHjxYkyfPj3PbUlJSYiPj1f7MeVyueIpgFKp9L36SI96iJcH1ijK9p9MQEJSklriK23UMd9UNJxz7eOcax/nXPs0Pef29vZq75OIiIgoL+2+bYrwU0+QlpSBuMfxOLHwAlpO+EDXYWmUSgmprVu3omvXrgCAjRs35tnms88+UyoHBwdj69at+fZpYGAAAHl+25lTZ2ho+F7xFsbIkSMVY8oRHh6Ozp07w8LCIs8rwVSVMy4rK6v3/jb27u+LgSx5dj81A1GhSYci3y5ZVqhjvqloOOfaxznXPs659nHOiYiIqLSwdDRD6y8bY9fXxwAAJ/+4BL/23nCqWnq/IFPp7K1q1aqYNGlSkfbx8/MrcHvOQuT/vW0OyL6dDgCcnJyKdMyicHR0hKOjY57b9PX1NXbCK5VK37v/N49uIe7kDkXZY9A0RWKP8qbKfNP74ZxrH+dc+zjn2sc5JyIiotKiTg8/hO4Iw5NLUciSZWHnl0cwdFs36ElVWv672FLp7M3X1xdz5sxRVywAAFtbW3h4eODatWu5toWGhsLIyAj+/v5qPWZJ93jVbMW/7Rq2hUWV2jqMhoiIiIiIiIiKSk9Pgs7ft8DCtusgz8zCs9AXuLj+Bur3qaHr0DRCbWm2rKwsPHz4EHfu3MGbN29U6qtv3744d+4cbt++rah7/fo1tm/fjq5du8LMzExR/+jRI5w4cQIJCQkqHbOkSrp3FXH/7lWUK/WbrMNoiIiIiIiIiOh9OXrZocmIuory4fln8CYuRYcRaY7KCSm5XI7p06fD3t4enp6e8PHxgZWVFT7++GNERka+V58TJkxArVq10KFDB6xbtw47duxAmzZtYGlpiblz5yq1XbZsGZo1a4YbN24o6hITE3HixAmcOHECjx49AgBcunQJJ06cwL///vv+gy2Gnrx1dZT9h51g7lnwLZFEREREREREVHwFjqwL24pWAIDUhHQc/KF05TFyqLzgwvjx47FgwQK0atUK9evXh5mZGe7fv49NmzahWbNmCA0NhampaZH6NDMzw+nTp7F48WJs3rwZMpkMrVu3xrhx42Bra6vU1t3dHYGBgbCyslLURURE4Ntvv1WUAwMDsXbtWgDZC5/u2rXr/QdcjCTevoBXFw5lFyQSVOr7lW4DIiIiIiIiIiKVGBjro923TbFmYHbu4vKmW6jziS8q1iqv48jUS6WEVHR0NH7//Xds2bIFISEhSttmzpyJhg0bYtWqVRgxYkSR+zY2Nsb48eMxfvz4AtsNGjQIgwYNUqrz8fHBiRMninzMkubxqu8U/3ZoFgIzt2o6jIaIiIiIiIiI1KFqc3dUDfJA2JGHAIDd3xzDyN09StUC5yqN5MqVK6hRo0auZBSQ/bS80aNH48KFC6ocgvIRf+004q+cyC7o6aFSny91Gg8RERERERERqU+7aYHQN5ICAJ7fisGF9TfesUfJolJCSi6Xw9jYON/tJiYmkMvlqhyC8vH22lHlgnrA1KWyDqMhIiIiIiIiInWydbVC4Kh6ivLheWeQHFt6FjhXKSFVvXp1XLhwIc+roNLS0rBixQpUr15dlUNQHhJunEHCjexFzSRSfVTs/YWOIyIiIiIiIiIidftwaG3YVspeMzstMR0H557WcUTqo1JCys3NDW3btkXz5s3x6aefYsOGDdi9ezd+/PFHBAQE4NGjRxgwYIC6YqX/92zjz4p/O7bsDpPybroLhoiIiIiIiIg0wsBYH+2/baooX9lyGxHXX+ouIDVS+Sl7q1atwuDBg7FgwQIIIRT1VatWxcGDB+Ho6KjqIegtyQ9uKD1Zz7XbpzqNh4iIiIiIiIg0p0oz5QXO9886icGbQiCRSHQcmWpUTkhZWlpi8+bNiIiIwLVr15CRkQE3NzcEBASU+Mkpjt6+Osq+cQeYunrpMBoiIiIiIiIi0rQ2kz/EvROPkSXLwuMLkbh98AGqf1Sy15JW6Za9Q4cOoU6dOggPD4eLiwvatWuHjz/+GDVr1mQySgNSox4i5uQORdm1+3gdRkNERERERERE2mDvYYMGffwV5QOzT0GWLtNhRKpTKSEllUphbW2NypVLdlaupIjYvADIygIAWNdqBgvvmjqOiIiIiIiIiIi0odm4BjCxMgIAvHqagHOrr+k4ItWolJBq2LAhIiMjkZSUpK54KB/pcS/w4tA6RbliD14dRURERERERFRWmFobo/m4Bory8QXn8SYuRYcRqUalhJSpqSn+/PNPDBkyBP/++y/S09PVFRf9R+T2xRCZGQAAi6p1YFXjQx1HRERERERERETaVL+PP+w9bAAAaUkZOPrreR1H9P5USkjt3r0bHTp0wO7du9G4cWOYmJjAysoK1tbWip9+/fqpK9YyS5Ycj+d7lyvKrt0/4xpdRERERERERGWM1ECKj75qrChfXHcd0ffjdBjR+1PpKXuurq7o3r17gW1q1aqlyiEIQNTupZCnZN8WaVqpKuwattVxRERERERERESkC1WDPODxgSsennmGLLnAwbn/os/SjroOq8hUSkjVrFkTf/zxh7pioTxkZWYgatdfirJLt3GQ6Kl0YRsRERERERERlVASiQRtpzTBonbrIAQQduQhnl19Dtea5XUdWpGolNm4evUq/vzzz/feTu8Wc3InMl69AAAY2jrBsVmIjiMiIiIiIiIiIl0q7+MAv/beivLhH8/qMJr3o1JC6sGDBzh06FCB2w8fPqzKIco0IQQity9WlJ07DoaegaEOIyIiIiIiIiKi4qDFZw2hJ81eX/rB6ad4ePaZjiMqGo3e+xUfHw8jIyNNHqJUS7x9Acn3rgIAJAZGcGo3QMcREREREREREVFxYO9hg5rBPory4flnIITQYURFU+Q1pMLDw7F3714AwLVr1xAeHo5ffvklV7uEhASsXLkSAwcOVDnIsurtq6PKtegGQ2t7HUZDRERERERERMVJs7H1EbozDPIMOZ5efo67xx+janN3XYdVKEVOSIWGhuKzzz5TqvtvGQD09PQQGBiIYcOGvX90ZVh6bBRiT+9RlCt0GaHDaIiIiIiIiIiouLFxsUS9nn44uzIUAHBk/hl4N3WDnp5Et4EVQpETUh06dMDz588BAHv37sWuXbvw119/KbWRSCSwsbGBoSHXO3pfL/avAbLkAAAr/8Ywc6+u44iIiIiIiIiIqLgJHFkXlzbeRGaaDM9vx+DW/vvwa+f97h11rMgJKSMjIzg5OQEAunTpgsDAQEWZ1EPIZXi+f5WiXL4Db3skIiIiIiIiotwsHM3QsH8ATv5xCQBw9KezqP5RZehJNbpsuMpUis7W1hZeXl6Kcnx8PF68eKH0Ex8fr2qMZc6r84eQERMJADCwtod9ow46joiIiIiIiIiIiqsPh9eBkUX2XWoxD17j+p57Oo7o3VROl4WHh6Nbt26wsLCAjY0Nypcvr/QzePBgdcRZpkTtXa74t9NHfaBnwFsfiYiIiIiIiChvptbGaDSolqL8z+KLyMoq3k/cK/Ite29LS0tD8+bNkZmZif79+8PV1TXXulFvX0FF75b24gleXzqSXZBI4NS2v07jISIiIiIiIqLir2H/AJz+6zIy3mQi+l4cwo48hE8rT12HlS+VElJnz55FWloabt26BQcHB3XFVKa9PLwBENlZTJs6LWBS3k23ARERERERERFRsWdqbYz6vf1xasllAMA/iy6gWksPSCTF84l7Kt2yl5GRgVq1ajEZpSZCiOyE1P9zat1bh9EQERERERERUUnSaFAt6BtKAQAR117iwb/PdBxR/lRKSDVo0AARERHIyMhQVzxlWtKt80h7/hgAIDWzgl3DNroNiIiIiIiIiIhKDAtHM9T+pLqifPrPyzqMpmAqJaSsrKzw888/Y9SoUYiMjFRXTGVWzNFNin87NP0YeobGOoyGiIiIiIiIiEqaxkNrQ6KXfZve/ZNPEH0/TscR5U2lhNShQ4cwZswY7N69Gy4uLihfvjyqVq2q9DNu3Dh1xVqqZWWkIfbUTkW5XFAP3QVDRERERERERCWSrasVqrX0UJTPrAjVXTAFUGlRcwsLC1StWrXANhUqVFDlEGVG0uUjkL9JBAAYO7vDsnp9HUdERERERERERCXRBwNr4vbBBwCA0O130GriBzC0MNBxVMpUSkg1bNgQO3fuVFMoZVviuX2Kf5cL6lFsV8EnIiIiIiIiouLNrV4FlK/ugOe3YpCZJsPFDTfRaGhNXYelRKVb9v5LLpcjLS1NnV2WCVkZ6Xhz/bSibN+kkw6jISIiIiIiIqKSTCKRoNHA/yWgzq+5hix5lg4jyk0tCak///wTvr6+MDAwQO/evQEAT58+xejRo1XqNyMjA5cuXcK5c+eQlJSk9f21JfHWWWSlvQEAGJd3g2nFKjqOiIiIiEqipKQknDt3DpcuXXqvpyCruj8REREVH37tvWFqawIASHiejCcXonQckTKVE1KTJ0/GiBEj4O3tjY8//lhRX7FiRVy+fBlXr159r343btwIJycn9OnTB6NGjUK5cuUwb948re2vTa/PH1L827Z+a96uR0REREU2e/ZslCtXDqNGjULv3r3h7OyMbdu2aW1/IiIiKl70jfTh38FbUb62664Oo8lNpYRUdHQ0fv75Zxw6dAjbt29Hz549lbZ/9NFH2Lp1a5H7/ffff9G7d2+MGzcOd+7cweXLl7Fy5Up88cUXWLt2rcb31yYhBF5fUE5IERERERXF0qVL8fXXX2P16tW4fPkywsLCMHLkSHTv3h2XLl3S+P5ERERUPAV0/t+D6G4feABZmkyH0ShTKSF1+fJl1K5dGy1atMhzu7u7Ox4/flzkfmfPng17e3t8/fXXirpu3bqhUaNGmDFjhsb316bUiHCkPX8EANAzNoO1f2MdR0REREQlzaxZs9CkSROEhIQo6r755hvY2Njgu+++0/j+REREVDy5BDjBzs0aAJCenIGHpyN1G9BbVEpIZWVlQSqVKsr/vdUsJiYGJiYmRepTJpPh6NGjaNKkCfT1lR8CGBQUhPv37+Phw4ca21/bXp0/qPi3dc1A6Bka6TAaIiIiKmnCwsLw5MmTXF8QGhgYoEmTJjh06BCysvJfxFTV/YmIiKj4kkgkqNHpf+tUh+1/pMNolOm/u0n+fH19cfHiRTx48ACenp5KCSkhBDZt2oT+/fsXqc+nT58iPT0d7u7uubbl1N29exceHh4a2T86OhoxMTFKdeHh4QCyk10ymXovb4s9t1/xb6s6QWrvn3KTyWSQy+Wcay3inGsf51z7OOfap+k5/+8XW8XVvXv3ACDfc5+UlBRERkbC1dVVI/tr+9xJl8rq/3OOm+MuCzhujrs08+3ghWO/ngcAPPo3CokxybB0MFf7cYp67qTSmValSpUQFBSEFi1aYObMmUhKSkJmZiYuXLiA77//Hg8fPkSPHj2K1GdiYiIAwMzMLNc2CwsLpTaa2H/x4sWYPn16ntuSkpIQHx+f775FJU9JQuLNc4qynnc9tfZPeZPL5UhOTgYApSv8SHM459rHOdc+zrn2aXrO7e3t1d6nJpSlcyddK6v/zzlujrss4Lg57tJMag04+drjxc1YZMmycGXnTQR0rfrO/YqqqOdOKn/1t3z5cnTs2BF9+/ZV1O3evRs2NjbYsWMHbGxsitSfgYEBAOSZqczMzAQAGBoaamz/kSNHomvXrkp14eHh6Ny5MywsLGBtbV3wAIogPSMZdo06IP7yUeg7VoSdm1eJ+Ta2JMt5b1hZWXG+tYRzrn2cc+3jnGsf5zxbWTp30rWy+p7juDnusoDj5rhLu1pdfLDv1km41HJEOQ+HYvH3WeWZt7e3x7///otDhw7h7NmzSE1NhaenJ7p27VrkZBQAODs7A0CuS7+B7EvCAaB8+fIa29/R0RGOjo55btPX11frm1Xf2Q3Vv1mJjLRUxD2+r/b+KX9SqZTzrWWcc+3jnGsf51z7OOfvPveRSCRwcnLS2P7aPHcqDsrqe47j5rjLAo6b4y7NaodUR9WWHhAmMlhbWxeLcaslAolEgtatW6N169Yq92VjYwNPT09cvXo117arV6/C2NgYfn5+GttfF/T0DWBg76zrMIiIiKgEqlGjBgwMDPI996latari1jtN7E9ERETFn7GlEfRNpcXqVnqVnrKnKf369cOFCxdw8+ZNRd2rV6+wY8cOdOvWTWmNgwcPHuDIkSNISEh4r/2JiIiISjJLS0t8/PHH2LFjh9JJ5rVr13Dx4kUMGDBAqf3169dx5MgRxe0KRd2fiIiISB2KZULq888/R926ddGhQwesWrUKW7ZsQevWrWFtbY25c+cqtV2xYgVatmyJGzduvNf+RERERCXdjz/+CDMzM7Ru3RpbtmzBypUr0alTJzRq1Ahjx45Vajt16lS0bNlSsZhrUfcnIiIiUgfd3zSYB1NTU5w8eRJLlizB7t27IZPJ0LFjR4wZMybXwluVK1dGixYtlOqLsj8RERFRSefi4oLQ0FAsXLgQa9euhb6+PiZOnIghQ4bkWpC8Ro0aSE5OVixmXtT9iYiIiNRBIoQQug6iuLt16xZ8fX1x8+ZNVK9eXe39y2QyxMfHF5uFxUo7zrf2cc61j3OufZxz7eOcF1+aPnfSlbL6nuO4Oe6ygOPmuMuC4jbuYnnLHhERERERERERlV5MSBERERERERERkVYxIUVERERERERERFrFhBQREREREREREWkVE1JERERERERERKRVTEgREREREREREZFWMSFFRERERERERERapa/rAEqC9PR0AEB4eLhG+pfJZEhKSoKFhQX09fmSaBrnW/s459rHOdc+zrn2aWPOPT09YWxsrJG+SzNNnzvpSln9f85xc9xlAcfNcZcFxe3cqezMvAqePXsGAOjcubNuAyEiIiKtunnzJqpXr67rMEocnjsRERGVTUU5d5IIIYSG4ynx4uPj8c8//8DV1RVGRkZq7z88PBydO3fGzp07UblyZbX3T8o439rHOdc+zrn2cc61Txtzziuk3o+mz510paz+P+e4Oe6ygOPmuMuC4nbuxCukCsHa2hqdOnXS+HEqV67Mb2G1iPOtfZxz7eOcax/nXPs458WPts6ddKWsvuc47rKF4y5bOO6ypbiMm4uaExERERERERGRVjEhRUREREREREREWsWEFBERERERERERaRUTUsWAg4MDpk2bBgcHB12HUiZwvrWPc659nHPt45xrH+ectK2svuc4bo67LOC4Oe6yoLiNm0/ZIyIiIiIiIiIireIVUkREREREREREpFVMSBERERERERERkVYxIUVERERERERERFrFhBQREREREREREWmVvq4DKM1CQ0Oxbt06REVFwdXVFf369UO1atW0tn9ZdPLkSWzduhWvXr1C5cqVMWjQILi6uhZq3zt37mDXrl24e/cuLC0tERAQgF69esHQ0FDDUZdse/fuxd9//43k5GT4+vpi8ODBsLOzK3I/+/btw/Lly2FjY4O//vpLA5GWDllZWdiwYQOOHz8OmUyG2rVrY9CgQTA1NS10H9HR0Vi3bh2uX78Oc3NztGvXDh999JEGoy7ZMjIysHLlSpw9exYSiQSNGzdGnz59YGBgUKj9IyMjsXr1aoSHh0MikcDLywv9+vWDk5OThiMvuWJjY7Ft2zYcP34cenp6WL9+fZH2T0xMxLJly3D16lUYGxujZcuWCAkJgUQi0VDEVFpkZWXhwIEDOHnyJCIjI1G+fHk0a9YMbdq0ybN9dHQ0li1bhtu3b8PCwgIdO3Ys8b9P09LSMHz4cCQnJ2PcuHH48MMPc7V59uwZli9fjvv378PW1hbBwcEIDAzUQbSq+eSTTyCXy3PVBwUFYfjw4bnqw8PDsXLlSjx69AjlypVD9+7dUa9ePW2EqnZCCOzduxeHDx9GQkICAgICMGjQIFhaWuZqe+vWLaxZswbPnj1DhQoV0Lt3b/j7++sg6ve3bNky7N+/P9/tI0aMQIsWLZTqLl++jPXr1+PFixeoVKkS+vfvD29vb02HqnYZGRnYuHEjLl26hNevX6NChQpo3749GjdunGd7VT5PFSdv3rzB6tWrceHCBQghULNmTQwcOBAWFhZ5tj948CB2796NhIQE+Pj4YNCgQShXrpyWoy6ax48fY8uWLbhw4QI8PDwwd+7cfNtGRkZi2bJluHfvHmxsbNClSxc0a9ZM5baq4hVSGrJy5UrUrVsXycnJaNOmDV6+fImAgADs2rVLK/uXRTNnzkRQUBBMTU3RunVrXLlyBdWrV8f58+ffue+wYcNQvXp1XLp0CU2aNEHFihUxY8YM+Pj44MGDB1qIvmQaPHgwevToARcXFwQFBWHPnj3w8/Mr8py9fPkS/fr1w65du7Bnzx4NRVvyZWZmol27dvj8889RvXp1NGrUCEuWLEHdunURFxdXqD4OHjwIb29vnD59Gh9++CFq1aqFRYsW4auvvtJw9CVTUlISGjVqhLlz56JevXqoXbs2ZsyYgebNmyM1NfWd+2/fvh0eHh44ePAgGjZsiHr16mHXrl1wd3fHgQMHtDCCkmfy5Mnw9/fHlStXEBYWhu3btxdp/6ioKAQEBGD16tUIDAyEt7c3RowYgW7duiErK0tDUVNp4e/vj+XLl8PBwQEtW7ZEZmYmgoOD0axZM2RkZCi1vX37Nnx9fXHgwAEEBQWhfPnyCA4Oxrhx43QUvXp89dVXWLduHbZt24YnT57k2n7+/Hn4+vri/PnzaN26NSwsLNCyZUvMnDlTB9GqZtu2bUhLS0P37t2VfurWrZur7eHDh+Hn54d79+4pEpSNGjXCokWLtB22yhITExEUFIRx48ahQoUKaN26NWJjY1GnTh2kpaUptd28eTNq1qyJ6OhotGnTBgkJCahduzY2bNigo+jfT+3atXO9zt27d8ft27exbds22NjYKLVfsmQJ6tevj4yMDLRp0wZPnz6Fv79/gUmt4igmJgZ+fn744osvUL58ebRs2RKJiYkIDAzEkCFDcrVX5fNUcZJzLjBnzhz4+/ujbt26WLp0KWrUqIGIiIhc7ceNG4fOnTvD0dERrVq1wpEjR+Dr64vbt2/rIPrC+fjjj9G8eXPExMTgxIkTOHr0aL5tL126hOrVq+PMmTNo3bo1rK2t8dFHH2HatGkqtVULQWoXFRUlTE1NxfDhw5Xqu3fvLmxtbUV8fLxG9y+Lrly5IiQSiZgzZ46iLisrS3zwwQfC29tbyGSyAvcPDg4WBw4cUKqLjIwUlpaWom3bthqJuaTbuXOnACA2btyoqEtNTRXu7u6iRYsWReqrffv2onHjxuKDDz4Q5cqVU3eopcYvv/wiAIhz584p6qKjo4WlpaUYNGjQO/e/f/++MDMzEzNmzMi17fnz52qNtbSYMGGCMDQ0FA8fPlTU3b17V0ilUjFt2rR37u/h4SHc3NxEenq6oi4lJUWUL19e1KhRQwMRl3z37t0TmZmZQggh2rVrJ4yMjIq0f0hIiHBwcBCvX79W1B05ckQAECtWrFBjpFQaRURE5Kr7448/8nz/NGjQQFSpUkXp//fKlSsFAHH48GFNh6oRx44dE1KpVEycOFEAEGvWrFHaLpfLRZUqVUS9evWEXC5X1M+fP19IJBJx+fJlbYesEqlUKsaNG/fOdjm/tz/66COl+i+//FIYGhqKBw8eaChCzejSpYvw9vZW+j0phBAxMTFK58xxcXHCyspK9O7dW6nd4MGDhYWFhYiOjtZGuBrz4sULoa+vL2rXrq1U//jxY2FkZCQ+/fRTpfrOnTuLcuXKieTkZG2GqZKpU6cKAOLYsWNK9aNHjxYAxI0bNxR1qn6eKk66du0qjI2NxZMnTxR1CQkJwsHBQXTo0EGpbc45wtKlSxV1GRkZolq1aqJ+/fpai7mo7ty5o/h3pUqVcr2Pc2RlZQkfHx9Ru3Ztpd/bv/zyi5BIJOLChQvv1VZdmJDSgPnz5wsA4urVq0r1J06cEADE8uXLNbp/WTR69GghkUhEXFycUn3OieF/fwn/V35JvqZNmwpzc3O1xVmatG/fXtja2ir9shJCiG+//VYAUPoAX5A///xTGBsbi7CwMNGoUSMmpArg6+ubZxKjf//+wsTERLx586bA/QcMGCAcHBxERkaGhiIsXWQymbCzsxPt2rXLtS0oKEhUqFDhnX3Y2NjkmaD94IMPhKurq1riLM2KmpCKjY0V+vr6YtSoUbm2Va5cWXzwwQfqDI/KiAsXLggASh/Sbt68KQCI77//XqltRkaGsLCwEN26ddN2mCpLSEgQFStWFKNHjxY7duzIMyGVcy76119/KdXHx8cLqVQqRo4cqc2QVVbYhNTWrVsFALFjxw6l+sePHwsAYurUqZoJUAMuX76c52ubl5xk7KlTp5TqL126JACIBQsWaCpMrZg7d64AIJYsWaJUP2vWLAFA6QO/EEIcOHBAABDr16/XZpgqGTNmjACQ64vHxYsXCwDin3/+UdSp+nmquMjKyhLGxsaidevWubYNHTpUSCQS8ezZM0Vd9+7dhampqdKXC0L87zP59evXNR6zqgpKSJ0+fVoAEL///rtSfVJSkjAwMBBDhw59r7bqwlv2NOD8+fMwMDCAn5+fUn2dOnUAAOfOndPo/mXR+fPn4e7uDltbW6X6ws6ZlZVVrrqsrCyEh4fD2tpabXGWJufPn0dAQAD09JR/jRTlffro0SOMHz8eU6dORZUqVTQSZ2mRnJyMW7duoXbt2rm21alTB6mpqbh27VqBfezduxdNmjTB1atXMX78ePTs2ROTJk1CaGiohqIu2R48eIC4uLh85zwyMhLPnj0rsI9u3brh/PnzuHfvnqLuxo0buHLlCrp166b2mMu6y5cvK9ZW+686derg0qVLkMlkOoiMSiohBFatWgVDQ0N06NBBUZ9z+8p/32sGBgaoUaNGiTxXGzNmDADg+++/z7dNfuO2srKCl5dXiRz36dOn0bdvX/Tt2xezZs3Cw4cPc7XJb9yVKlWCvb19iRr37t27AWT/Tvzpp5/Qp08fDB48GKtXr0ZmZqZS25xx16pVS6k+ICAA+vr6JWrceVm+fDnMzc3Ro0cPpfrz58/D1NQUVatWVaoviZ/FQkJCoKenh9WrVyvq0tPTsWnTJri5uSndnqrq56niIjU1FWlpaXmuaWtnZwchhNJYcm5D/u+6wSVt3PnJ7/eXubk5qlSpkmsuCttWXZiQ0oCIiAjY29tDKpUq1ZuZmcHMzAyRkZEa3b8sioiIyHPRuZy695mz3377DREREejdu7fK8ZU2mZmZiImJUWnOs7Ky0LdvX1SuXBkTJ07USJylSVRUFIQQ7z3nr169QkxMDC5evIjmzZvDzMwMLVq0wM2bN1G7dm0sXbpUY7GXVDlrDKjyPl+4cCG+/PJLNGjQAEFBQWjevDmaNGmC6dOn44cfflB/0GXcu16zjIwMxMbGajssKmHu37+PkJAQdOjQAZ6enjh//jxOnToFHx8fRZt3vddK2rna9u3bsXr1aixZsgTm5ub5titt47axsUHDhg3RtGlT+Pv7Y+vWrahWrRrWrFmj1K40jTvnC5LWrVvjyJEjaNq0KZydnTFixAg0a9ZMaX3EiIgIWFhY5HpwilQqhZ2dXYka93/9+++/uHv3Lrp3755rkev8PlfY2dlBKpWWqHE3adIEhw4dwsqVKxEQEIB27dopkk6nTp2CiYmJoq0mPk/pgqmpKRwcHHD37t1c23Lq3l5HqrSMOz9F+f2li991fMqeBmRkZEBfP++pNTAwyLVYoLr3L4vym7Ocp2AVdc5Onz6NL774AtWqVcOUKVPUEmNpkp6eDgAqzfm8efNw9uxZXLhwId/3O/1PzmK67zvnKSkpAICnT59i+/bt+PjjjwEAAwcORKtWrTBmzBh06NCh2D9NRJtUnXMAOHPmDBYvXgw/Pz907doVWVlZyMzMxKJFixAYGIj69eurP/AyTB2vGZGdnR26d++OlJQUeHp6YunSpZg/fz5Wrlyp+GD+rveaXC6HTCYrEX/fXr58iWHDhqFPnz7vfELgu8Zd0v5/3b59Gw4ODoryp59+iqCgIAwePBhNmjRBpUqVALx73ElJSdoJWA1yzge8vLzw999/K54+WqtWLXz88cf46aef8PXXXwMo3Z9Jli1bBgAYOnRorm2ladzx8fH48ccfERcXp1jEvlKlSli9ejVWrlyp9DlH3Z+ndGnQoEGYM2cONm/erLgi/dSpU4oHhOV8lhFCIDMzs9SMOy9F+b2ti9/xvEJKA8zNzRW/7P8rJSUl30dNqmv/sii/OXvz5g0AFGnOrl69ivbt26N8+fLYv38/zMzM1BZnaWFqago9Pb33nvPbt29j6tSpmDBhQq7LwClvOd9Yv++c52wzNzdXJKMAQCKRoG/fvkhLS8OxY8fUGXKJp+qcp6SkICQkBK6urjh+/DiGDRuGESNG4MSJE3B0dERISEiup3aRalR9zYgAwNbWFiEhIejbty9++eUXbN++HVu2bFF6nPa73mvGxsYlIhkFZD9pWE9PDz///PM7275r3CXt/9fbySgg+0PYhAkTkJGRgb179yrqS9O4c2Lt3bu3IhkFAJ07d4aVlRX27dunqCvoM0lJG/fbkpOTsWXLFgQEBOT5RMX8xi2Xy5Genl6ixj1p0iQcPnwYx48fx+TJk9GvXz8sXrwY06dPxzfffINDhw4p2qrz85SuTZ8+Hf3790fPnj3RoEEDNGnSBJ06dVI8WTDndj6JRAIzM7NSM+68FOX3ly5+1zEhpQFeXl6Ii4tDcnKyUv3z58+RkZEBLy8vje5fFnl5eeX5aOKcusLO2c2bN9GyZUtYWlri2LFjim/GSJmenh48PDzee86vXLmCjIwM3Lx5EyEhIYqfsLAwxMfHIyQkBD/++KPG4i+JXF1dYWRk9N5zbmVlBUdHx1zrAgD/+6McHx+vnmBLiZz5LGjOK1eunO/+N27cQExMDDp27Ki01ppUKkX79u0RERGBsLAwNUddtr3rNbOxsclzTQmigrRq1QrW1tb4559/FHXveq+VpHO1c+fOwcrKCsOGDVP8Pc65pXjBggUICQlBTEwMgNI17vw4OTkByL7VPUd+45bL5YiIiChR4/b29gaAPH8X2traKp0LeHl5IT09HS9fvlRql5SUhNevX5eocb9t06ZNSE5OzvPqKCB73C9evFBcRZPj6dOnEEKUqHEfO3YMXl5eSrccA9kJSAA4cuSIok5dn6eKA0NDQ6xYsQKPHz/GN998g6+//hoPHjxQJCDfXiOpNI07L0X5va2L3/FMSGlAixYtAEDpxAWA4uqDli1banT/sqhFixaIjY3FrVu3lOqLMmd3795FUFAQTExMcPz4cXh4eGgk1tKiRYsWuHbtGl6/fq1Uf+zYMRgbG+PDDz/Md98mTZpgy5Yt6N+/P7p37674cXBwgImJCbp3745GjRppegglilQqRdOmTXH69GnI5XKlbceOHUOFChVQrVq1Avto3bo1oqKiciW7c+6n9/T0VG/QJVy5cuVQvXp1nDhxIte248ePo169enk+ECGHkZERACAhISHXtpw6Y2Nj9QRLALJvObGxscn1mqWnp+PMmTP8+0nvJS0tDcnJybCxsVHUBQYGQl9fP9d7LTo6Grdu3SpR77WlS5di9uzZSn+Pc/6GN2zYEN27d1dcLZ5zjvrfcd+7dw9RUVElatz5uXLlCgDlLxzyG/e5c+eQmppaosbdunVrAMi1vs6bN28QGRmpdC6Q37hL+meSZcuWwdTUFL169cpze4sWLSCXy3H69Gml+pI4biMjIyQmJuaqz+s8RB2fp4obFxcXtGvXDq1bt4aNjQ02b94MX19f1KxZU9GmRYsWuHv3Lp4/f66077FjxyCVStGsWTNth61W+f0/fvDgAZ4+far0uhalrdqo/bl9JNLT04WXl5eoW7eu4jHs8fHxwsfHR9SpU0dkZWUp2kZHR4vg4GCxcOHC99qfssXGxgpbW1vRsWNHIZPJhBBCREREiHLlyong4GCltjdv3hTBwcFi06ZNirqHDx+KChUqCBcXFxEeHq7V2EuqsLAwYWhoqPR49evXrwsTExPx+eefK7U9fvy4CA4OFsePHy+wz0aNGoly5cppItxS4ejRo0IikYgffvhBUXfw4EEhkUjEb7/9ptR206ZNIjg4WNy8eVNRd+PGDWFgYCDGjRun+D0SEREhKlasKHx8fERmZqZ2BlKCrF69OtcjnlesWJHn479///13ERwcrHi0slwuF97e3sLBwUE8ePBA0e7u3bvCxsZG+Pv7a2UMJVm7du2EkZFRvtunT58ugoODhVwuV9TNmDFDSKVScfLkSUXdtGnThFQqFZcuXdJovFSyXbhwQZw4cUKpLjU1VQwZMkQAEHv37lXaNnToUGFubi5u376tqBs8eLAwNTUVjx8/1krMmrJjxw4BQKxZsybXti5duggHBwfx5MkTIYQQMplMdOnSRdja2orY2Fhth/reDh48KK5evapUd/36dVGuXDnh7u4uUlJSlLYFBgYKNzc3ER0dLYTIPl9v3ry5cHV1VZyvlxQtW7YUrq6uIiIiQgghRFZWlhg3bpyQSCTi4MGDinYymUz4+/sLPz8/kZCQIIQQIjk5WdSuXVtUr169RJ433LlzRwAQAwYMyLdNamqqcHNzE40aNRKpqalCCCFevXolvLy8RKNGjbQVqlpMmzZNABC///67oi41NVV06tRJ6OnpKf0fKMrnqeLuzp074uzZs4pyVlaW+Omnn4ShoaE4deqUUtvHjx8LU1NT0b9/f8X58d27d4WFhYUYNmyYVuN+X5UqVRK1a9fOd3u3bt2EnZ2dePTokRAi+xy1W7duwtraWvE77X3aqgMTUhoSFhYmfHx8RIUKFUS7du1EuXLlRO3atcXTp0+V2j169EgAEP369Xuv/el/zpw5I1xdXUXlypVFu3bthJWVlWjZsqWIj49Xanf8+HEBQEybNk1R17hxYwFA1K1bVwQHB+f6yfljRMp27dolbG1thZ+fn/joo4+EiYmJ6NWrl8jIyFBql/MBfsWKFQX2x4TUuy1ZskSYmpqK+vXrixYtWghDQ0MxYcKEXO1yTkD+mwTctWuXsLe3F1WqVBEtW7YUVlZWol69eoo/OpTbjBkzhKGhoWjSpIlo3LixMDIyEvPmzcvVbtCgQQKAuH//vqIuLCxMBAYGChMTE9GsWTMRGBgojIyMRFBQkFKSiv5n7969it+9Tk5OQk9PT1H+/vvvldq2aNFCAFD6UCSXy8Xw4cOFkZGRaNmypahTp46wsLAQ69at0/ZQqIS5d++eaNu2rXBzcxNBQUGiefPmwt7eXjg7O4u1a9fmap+SkiJCQkKEqampaNOmjahevbpwcHAQBw4c0EH06lVQQio+Pl60bt1aWFpairZt2wovLy/h4uIi/v33Xx1E+v7Onj0rGjZsKLy8vMRHH30k6tatK/T19UVgYGCev59fvHghGjVqJGxtbUW7du2Em5ubqFy5srh27ZoOoldNXFycCAoKEpaWlqJly5aiatWqwtLSUvz111+52j58+FAEBAQIJycn0b59e+Hs7Cz8/PxK7Be4EyZMEACUkhV5uXnzpqhSpYpwdXUV7dq1Ew4ODqJ+/foiKipKS5GqR0ZGhvj000+FkZGR8Pf3F23atBHly5cXLi4uSl/O5yjs56niLiIiQjRt2lT4+vqK9u3bCw8PD+Hh4SGOHDmSZ/uDBw8KR0dH4ePjI9q0aSPMzMxEcHBwrsR0cZLzRWhwcLAwNTUVNjY2ivJ//2YlJCSINm3aCAsLC9G2bVvh7e0tKlSokCs5V9S26iARQgj1X3dFQPaq/ZcuXcKLFy/g4uKidGlgjpSUFOzbtw9ubm6oU6dOkfcnZTKZDOfPn8erV69QuXLlPG9hiomJwT///AMfHx/F/dRHjhwpcP2cjz/+GFKpVFNhl2ipqak4f/48kpOT4evrCzc3t1xtnjx5gosXL6Ju3boFrst14sQJJCcno3379hqMuORLTEzE+fPnIZPJEBAQgPLly+dqc/v2bdy+fRuBgYG5Fm1NT0/H+fPnER8fD3d3d/j5+Wkr9BIrNjYWly5dgkQiQd26dfNci+vy5ct49OgR2rRpk+thCA8fPsTDhw8hkUjg6emZ5/8TyhYeHo7Q0NA8t5UvX17pdt5Tp07h5cuXCA4OVlqcF8h+dPH169dhZGSE+vXrF/goe6K3vXz5Erdu3cKbN29QsWJF+Pr6FngO8ODBA9y5cwcWFhZo0KCB4nbdkiwqKgpnzpxBvXr1ULFixTzbhIWF4f79+7C1tUW9evUUT6QqaR4/fqxYz8/Hxyff8ea4ceMGHj16BEdHR9StW7dEnx/mvIbm5uaoW7duvr8nhRC4evUqIiIi4OzsjNq1a+f6nVtSHDt2DImJiYo1lAqSlZWl+CxWqVIl1KhRQ/MBasjr168RFhaGV69ewdXVFVWrVoWhoWGebQvzeaqkuHPnDh48eIAKFSogICCgwPdteno6zp07h6SkJFStWrXAdUKLg5zzzrxUrVoVvr6+uerv3r2Le/fuwcbGBvXr1y/w93ZR2qqCCSkiIiIiIiIiItIqLmpORERERERERERaxYQUERERERERERFpFRNSRERERERERESkVUxIERERERERERGRVjEhRUREREREREREWsWEFBERERERERERaRUTUkREREREREREpFVMSBERERERERERkVYxIUWkY//88w+6du2K27dv6zqUPD19+hTdunXD3r17dR0Kacns2bMxevRoZGZm6joUIiIiIiIqpZiQItKgdevWISQkJN/tkZGR6NatG2rUqAEfHx+NxbF582aEhIQUOcGQkZGBkJAQyOVytG3bVkPREQCMHz8eP/zwg6L8+PFjhISE4Ny5c1qNY82aNZgzZw4GDRoEAwMDrR6biIh069KlS5BIJNi6dauuQynQzp07IZFIcOnSJZ3GUVLmS910Pe7i8vprgq7n9l00MfdPnz5Fu3btYGVlBYlEgqVLl2Ljxo2QSCQIDQ1Vy7Hnz58PiUSi+ImPj1db/EeOHFHq+8SJE2rruyxgQopIg27cuIFt27bluS0zMxNdu3ZFt27dMGXKFI3Gcfv2bWzbtg1yubxI+40dOzm+1NUAAB0pSURBVBampqZYv3499PT460KTDh06hDNnzijK8fHx2LZtGyIiIrQWw40bNzB27Fjs2LEDNWvWVHv/mZmZ2L9/P4YOHYqQkBBcvHhR7ccgIiqL8vrwRvnjfJG68T31/oYOHYqYmBg8ePAAQggMHjxYY8d6/fo1hBCwtrZW1KWnp2P06NFwcHCAu7s7fv/991z7JSYmwsXFBStXrsy1LSgoCEII7N+/X2Nxl2b8hEmkIzExMZg0aRJ+/fVXXYeSp9TUVLRs2RK7du2CkZGRrsMpc9zd3bFlyxY0bNhQa8dMTU3FoUOH0KJFC7X3ferUKbi6umLBggVITU3Ftm3bEBkZqfbjEBFR6de5c2cIIVCnTh1dh0I6wNe/9MjKysLx48fRpk0b2NvbK+q7d+8OIQQCAgI0HsPs2bOxf/9+XLx4EcuXL8e4ceNw/PhxpTYTJ06Ej48P+vfvr/F4yhp9XQdAVFY5OzujU6dOug4jXyYmJggODtZ1GGWWlZVVgbd7akK9evU01neVKlVw+/Zt2NraYu3atVi7dq3GjkVERERExV98fDwyMjJgYmKisxg2bNiAIUOGwM3NDW5ubggKCsK6devQrFkzANnr/a5fvx43btzQWYylGa+QIlKTJ0+e4Ouvv0bv3r0xa9YsvHr1Kt+2d+/exbRp09C7d28MHToUmzdvRlZWVq528fHxWLRoEQYNGoTBgwfjzz//RHp6ulKbV69e4ccff0Tfvn3Rv39//Pbbb0hKSsr32CdPnsTw4cPRv39/rF+/HkKIXG1iYmLw448/ol+/fujXrx8WL16MlJQUpTY//vgjxowZAyB7jarBgwfjm2++UWxPTEzE4sWLMXDgQPTp0wfz58/H69evlfpYuXIlevbsCSD7lrUhQ4Zg0KBB+d7mGBUVhR9++AH9+/fHiBEjsGHDhlzzlpCQgIULFyqO++OPPxbqPvFXr14hJCRE8dOrVy988803uHXrllK7tLQ0hISEYNu2bYiOjsa3336L3r17Y+rUqYiKilJqu3PnToSEhCAlJQXHjh3DsGHDMGDAAKxfvz7P1/tt+a0h9eLFC6VjvnjxAnv27EFISIjidY+KikJISEie97APGzYMCxYsUKoTQuDvv//G2LFj0bNnT0ycODHfS85DQ0MxefJk9OrVCyNHjiz0YveOjo6wtbUtVFtNSUpKwrJlyzBs2DD0798fv/76K968eaPTmIiodFq5ciUkEglu3bqFyZMno1y5cjA1NUXr1q1zPcTk3LlzSuuPmJiYICAgAIsWLcqzz9u3b+Pbb7+Fi4sL9PT0MG3aNPTo0QMAULNmTUU/GzduLDDGK1euoFmzZjAxMYGzszNmzJiR5znBrFmzIJFIkJycnGfcO3fuVNtcAMC9e/fQtWtX2Nvbw8jICNWqVcO8efOU/m7mtZZMznHu3LmDWbNmwdnZGSYmJggKCsK9e/cU7ebMmaPR+QKyz6NGjRqFihUrwtDQEC4uLhg/fnyuc6m3/fvvv4r1c/7rxo0bkEgk+O233wAU/TV5n3jeZ9yFee3efh9PmTIFTk5OsLa2xtChQ5GRkQG5XI7JkyejfPnyMDMzQ9euXZGQkKB0HFVe/7fnqbD/53T9nlJ3vED2OdH48ePh4eEBExMTeHp6Yvjw4Xj+/HmBMefnfd5jX375Jezs7AAAX331ldIYc360cQtkVFQUnJ2dFWUXFxfFVfypqakYPHgwZs2aBTc3N43HUhYxIUWkBhcvXoS/vz+OHDmCRo0awcDAAJ06dUJiYmKutn/99Rd8fX1x8+ZNNG3aFJ6enhg9ejQ6deqktMbThQsX4O3tjcWLF6NKlSr44IMPcOXKFaXbqW7cuIFq1aphxYoVqFOnDvz9/fHrr7/Cz88Pjx49ynXsVatWYfHixahbty5sbW3Ru3dvzJgxQ6nNyZMn4e3tja1bt6JOnTqoV68efv/9d9SpUwexsbGKdmfPnsX+/fvx6aef4vjx46hXrx7i4uIAADdv3oSPjw8WL14MPz8/NG7cGNu3b4efnx8ePnyo6CM0NBTbt2/Hb7/9hrVr16Jhw4YwNDRESEhIrlsZd+3aBS8vL+zatQsBAQEICAjA3r170adPH0Wb69evo1q1avjzzz8Vx92yZQv8/f3x+PHjAl9DExMTdO/eXfETGBiI27dvIyAgAAcPHlS0k8lk2LZtG06dOoUuXbrAzMwMDRs2xJ49e+Dv7690ch0WFoZt27ZhyZIlWLhwIerVqwcnJycMHDhQcSlyfvJaQyosLAz+/v7Yvn07GjRooLiK6p9//sG2bdsUycrExERs27YtzzH//fffuHDhgqKckZGBjh074pNPPoGZmRlatWqFpKQk1K1bFytWrFDad/bs2ahduzYiIyPRokULODk5oWfPnhg4cGCBc1scnDhxApUrV8aff/4JT09PNG7cGJcvX0ZgYKCuQyOiUmz69OlwcXHBnTt3cPHiRSQlJaFJkyZKv9sbNGgAIYTi5+nTpxg6dCg+++yzPJMT06dPh729Pa5du4b169dj/Pjx2LBhAwDg6tWrin66d++eb1z37t1DYGAgpFIpQkNDcePGDZiammLOnDnqn4S34n7XXDx48AD169dHREQEjh8/jhcvXmDChAn45ptvCr2uzJw5c2BnZ4ebN2/i4sWLePbsGbp166b4m/vll19qdL5iYmJQv359nD59GuvXr8erV6+wZcsW7N27F+3bt8/3C6lGjRqhWrVqWLZsWa5ty5Ytg5GREXr16lWoOVBHPEUdd1Ffu1mzZsHDwwNhYWHYvXs3Nm/ejMmTJ+PLL7+Eu7s77ty5g4MHD+Lo0aOYMGFCocf7rtcfKPr/OV2/p9QdLwCMHDkSW7duxfr16/H69WscP34ctWvXxh9//FHouc7xvu+xOXPmICYmBgDw/fffK40xZz61wdnZWelL5cjISEWCatq0abC3t1d8CU8aIIhIZX5+fqJatWoiLS1NUXf79m1hbm4u3v5vdv36dSGVSsXnn3+utP/NmzeFVCoVixcvFkIIkZaWJlxdXUVAQIBITU1VavvixQvFv2vVqiVcXFxEYmKioi46OlrY2NiIoKAgRd20adMEADF69GilvoYMGSLMzc1FcnKyEEKIpKQk4eDgIJo3by7kcrmiXWJionBychIDBw5U1AUHBwsjIyMxd+5cRV1qaqqQyWSiatWqonr16krzkZmZKXx9fUWrVq0UdePGjRN6enpi8uTJSnF17dpV2NvbC5lMJoQQIioqSpiamoqOHTsqxfX2fMhkMuHl5SX8/f1Fenq6YntGRoaoVq2aaNu2rXgfISEhonr16opyUlKSACCsra3FkydPFPXJycnC1dVVfPDBB4q677//XgAQffv2Vepz/fr1AoBYv369oq569eqiU6dOivLVq1cFALFlyxZFXdOmTYWzs7PS6x0RESFsbW0FABETEyOEEOLOnTsCgFixYkWu8VSoUEH06tVLUf7mm2+Enp6eOHfunFK7adOmCSMjIxEVFSWEEOLo0aMCgJg3b55Su+PHjwsAYvv27bknLx9r1qwRAMSOHTve2XbFihUiODi4UD9vz8vbQkNDhZmZmRgzZkyu90/O+IiI1GnFihUCgBg1apRSfWRkpDAyMhIjR458Zx/du3cXderUydXniBEjcrXdsGGDACCuXr1aqPj69OkjzM3NxatXr5Tqe/funetvz8yZMwUAkZSUpNT27NmzhfpdXpS56Nu3r9Lfnhxff/210vh27NghAIiLFy/mOs748eOV9l23bp0AIM6fP6+o0+R8jRkzRhgZGYlHjx4ptT19+rQAIPbs2ZPvcebPny8AiFu3binq0tPThZ2dnejevbuiriiviSrxFGXchX3tcl6nCRMmKLUbO3asMDExyfX6ffbZZ8LQ0FBkZGQo6lR9/fOT3/85Xb+nNBGvi4uLGDJkSKFifVtec6/KeywmJkYAEN9//71SfV7zmdexC2vevHkCgHj9+nWubd98842oXLmyePLkiThx4oQwMDAQR44cEZcuXRKmpqbi1q1b4uLFi6JOnTrCwsJCNG/eXDx8+DBXP/v37xcAxPHjx4scX1nGK6SIVHTnzh3cuHEDQ4YMUVr8u1q1amjcuLFS25UrV0Iul+OLL75Qqq9evToaNGigeMTr4cOH8ezZM3zxxRcwNjZWaluuXDkAwP3793HlyhUMGjQIFhYWiu0ODg7o06cPjhw5onRFEwAMGjRIqRwUFITk5GQ8ePAAALBnzx7ExMTg888/V3qqnoWFBT755BNs27ZN6duVjIwMDB8+XFE2NjbGmTNnEBYWhrFjxyrNh76+Pvr164cjR44oXXqdlZWFIUOG5IorNjZWcbnspk2bkJKSgilTpuR62l/OfJw8eRL379/HuHHjYGhoqNhuYGCAvn374uDBg7kubf+v6Oho/Prrrxg0aBC6deuGkJAQ3LlzB2FhYcjIyFBq26pVK1SsWFFRNjMzw6BBg3DmzJlcT8b77zeDn3zyCRwdHbFp06YC4/lvbCdOnED//v2VXu8KFSqgbdv/a+/OY6I4+ziAfwEXAZWKFrzFLpZD1i6gqKiwCnLotlRaq8aYjQdtGtuYmLYSqVGrolANJm1alIgaqdLUaiFYxFIPtB5Eq6LIVTzAIqIiS6soVOD9g8y8zB6467Jo2u8n4Y+dfXbmmed5lpn9zXPMMHk/utLS0qBSqTB+/Hi9PDc1NYlD8oSns0uXLpWkE3r5WWt54kuXLmH//v0m/ekOZxUIXci3bNmi134GDRpklXwTEQFAdHS05PXgwYMRGBiIo0ePSranpKQgMDAQffr0kQz3qaioeOY+n8eRI0cQHBwMFxcXyfaZM2davG9jTCmLI0eOICgoSO9/szCn4pEjR555HLVaLXmtUCgAQNJD21zmlFd2djYCAwP1hvdMnDgRTk5OyM/PN3ocjUYDmUyGHTt2iNuysrJQV1endw9nKkvyY855m1t306dPl7z29vbG48ePERkZKdnu4+OD5uZmkxdCMbX+zfnOveg2ZY38KpVKfP/990hOThZ/BzwvS9rYyyA+Ph7Tpk1DQEAANBoNkpOToVKpsHjxYsTFxcHd3R1qtRpRUVGorKzEoEGD8N5773U60oFMx0nNiSwkDI3z8PDQe2/kyJGS12VlZZDJZOKP+rYOXVMrKyvF4NMff/wBoP0ibIwwHOv111/Xe8/T01PMW8cVK+RyuSSdq6srgPZ5id544w2UlZUBAL799lvs3r1bzBvQPlysoaEBf/31F1555RXx887OznrnCLQvf3v06FHJPiorK9Ha2oo///xT3IednZ0ksKObr+HDh5tUHsJx9+7di19++UVy3Js3b6KlpQXV1dXw8vIy+PkrV65ApVLBw8MDc+fOxeDBgyGTyXDgwAFcvXoVjY2NkkBXZ/V948YNDB061GhaW1tbyOVyg8MqjRHq25R2ZqqHDx/i9u3b4nBFobza2trE7tVVVVUA2svX3t4eGo1GTCP8NTQ0iOm62sKFC/UCu8botkWgfQjBqVOnkJycDDs7u67OHhFRp4SHJrrbSktLxdeJiYn4/PPPsWXLFsyaNQsDBgyAnZ0d3n//fYPDVoYMGWJxvurq6ozmzVTm/hgzpSzq6uoQHBysl27gwIEAoPegzRDdgIhwbTBlPkljzCmvO3fuoLKyEj16tP/M6ni9FPZljKurK6Kjo5Geno6NGzdCJpMhLS0NI0aMMGkFXEN1Ykl+zDlvc+tOt56Eh23Gtptaf6bUv7nfuRfdpqyR3x07diA+Ph7r16/HJ598gqFDhyI6OhorV640+2GdJW3sZeDg4ICUlBSkpKSI2xISEtDS0oIVK1bg0KFDePDgAeLj4+Ho6Ij4+Hj4+vqirKwM3t7eLzDn/w4MSBFZSAhSGJq0T3ebTCYT50jSJczhA0DsWdTZhMvCcR8/fqz3nvC5jj2UOn5GYGNjAwBi8EEmkwFof2pl7Ka04yoYHXvqCIR9TJ061WgAqWOwpkePHnq9VnTz1bE8evfubXCfHY9rLOjU2QU2ISEBMpkMx48fF+sBgMGJwYHO61u33I2l1U3XGXPambBf3V5dACS904QbBw8PD4Ntcu7cueKFViaTwdnZ2WjbFSal7GpKpRJKpfK5P19UVCTuh4iou9XW1hrc1vF/5u7duxEWFqbXA9XYQwvhemeJ/v37G82bLuEB0t9//y25BpvaY6WzfeuWRb9+/TrNV8eHbMYI9xBdyZzyevXVV6FQKHDo0KHnOpawuMvBgwcxduxY5OXlYfXq1ZLzMqdOLMmPOedtbt0ZqydL68+Uz5v7nXvRbcoa+XVzc8P27duRmpqKq1evIjc3FwkJCcjPzxfvnUxlaZt/2ZSWlmLDhg04duwYZDIZbt++DRcXF/E3kPA7prq6mgGpLsCAFJGFlEolbG1tcf78eb3JCzuu/gG0T0qYmZkJpVJpsGdTx3QAcPLkSUyaNMlgmtGjR8POzg4FBQV6Q8IKCgrg5ORkNDDzrOP269fPYODBFMLQLwcHh+feh7F8nTx50ug+heM6OTk913Grq6shl8slwai2tjajASndugXaJ7e3t7fHqFGj9NJ27MWk1WpRUVGB+fPnm5w/b29vODo6Gj1uR0OGDIGNjQ1u3bol2V5aWioZtujg4AA/Pz/cv3//mWU2YcIEnD9/HqGhoS98tTxzCL0OnzVck4jIGrKzsxERESG+rqmpwblz5/SGX+k+oKiqqsKJEyf0HiQZI1y7jA1d1hUaGoqsrCxotVr07dtX3J6VlaWXVuiZW1RUJHmwY+oqqwJTyiIsLAz79u1DbW2t5MGYsPpuaGioWcc0xprl9dZbbyE9PV1v5S5TRUZGYtiwYUhLSxMDAwsWLJCkMadOLMmPOefdXXXXVSz9zumyZpuyRn4Ftra2GD16NEaPHo26ujokJSXhwYMHZt3rWdrmXyZtbW2IjY3Fhx9+iHHjxgFoH15cX1+Px48fw9HRUQz8dkVvVeIqe0QWc3V1xZw5c7B9+3ZcvnxZ3L5t2za9Hk4ffPABhgwZgkWLFuk9Afn999+Rk5MDAAgICIBarUZSUhLOnDkjpvnnn3+we/duAO1BI41Gg/T0dJw6dUpMk5OTg8zMTCxZssSsHjhA+8VRpVJh+fLluHr1quS9yspK8did8fb2xrx587B+/XqcPn1a8t7du3exbds2s/IEADExMVAoFIiLixOH5gHtQQZhHiaFQoHZs2dj7dq1KCgokHz+zp07SE1N7fQY/v7+uHz5smR8fWJiosFeRsI+Oy7nW1BQgPT0dCxevFivF1dGRgbu3r0LoL3XV1xcHJqbm7FkyRITzr6dg4MDYmNjkZGRIanvH3/8US/wZG9vj7CwMOzdu1fsEdXY2IiNGzdKbnqA9lWPLl68iC+++EKyyuPTp0+xZ88ecSjesmXL0KdPHyxYsECvi/rJkydf2vkBxo4dC2dnZ2zdulVyk1hRUYHffvvtBeaMiP4LamtrsXXrVtTX16OkpASzZ8+Gk5MT4uLixDTR0dHIzc3F/v378ejRI5w7dw5z587FtGnTTD7OqFGjYGtri5ycHJN+EK9cuRKtra2YM2cOysvL8eDBA2zZssVgL9zw8HC4u7sjPj4e165dw/3797Fp0yY8ffrU5PwBppXFqlWr0LNnT7z77rsoKiqCVqvFzp07sWnTJmg0Gvj7+5t1TGOsWV5r1qzBgAEDMH36dOTl5aGhoQH3799Hfn4+5s+f/8x5sGxtbbFgwQLk5uYiJSUF4eHhelMbmFMnluTHnPPurrrrCl3xndNlzTZljfxOnDgRP/zwA6qqqtDU1ITCwkIcPHgQSqVSb16rZ7G0zb9MvvnmG9TU1GDdunXitrCwMLi4uCAxMRFarRYbNmyAv7+/2Q/+yTAGpIi6gDDR4Pjx4zFlyhQEBATg0qVLer1OXFxccPz4cdja2opLz0dFRcHDwwNLliyRzIGTkZGBGTNmICQkBGPGjEFERATkcjnKy8vFNF9//TViYmIQGhqKSZMmYcKECZg5cyZiY2ORkJBg9nnY2NggKysLKpUKAQEBGDt2LNRqNXx9fREREaE3tM6YtLQ0aDQahIaGws/PD2+++SaUSiXGjRuHJ0+emJ0vmUyGw4cPQy6XQ6lUIigoCKGhoRg1apQkOLJr1y7MmzcPKpUK/v7+UKvVYnpjgSXBqlWr4O3tDT8/P0RFRcHHxwc3b97EwoULDabXaDTIzc1FYGAgQkJCEBISgoiICGzevFkv7fLlyxEWFobw8HB4enpiz5492Llzp9nDyJKSkqBWqzF16lRMnjwZ48ePx4EDBwwup5ycnIxHjx7Bx8cHkZGRCAwMRGxsrKQHGNB+k5ORkYHU1FS4u7sjMjISkydPxrBhw5CbmysOyxw+fDiOHTuG6upqjBgxAiqVSrxJXrVqlV6gS5dWq8WsWbMwa9YsfPXVVwCAL7/8Utz2PO3CFP3798d3332HixcvQi6XY8aMGfD39xeDw0RE1rR69Wpcv34dXl5eGDNmDBwdHXHixAlJgGHNmjVYunQpli5dCldXVyxbtgzJycl68z52xsPDA5s2bcKuXbvQq1cvccJjY7y8vHD8+HE0NTVBqVTC19cX9fX1kuCQQCaTITMzEz179oSvry/8/f1hZ2eHjz/+uMvLYuTIkTh79iwGDhyIkJAQuLm5ISkpCWvWrJFM9G0pa5aXm5sbzp07h4iICHz00Udwc3ODQqHA2rVroVaroVKpnpm/RYsWobW1FTU1NQYnMzenTizJjznn3V111xW64juny5ptyhr5TU5ORmZmJoKDg9G3b1/x98Thw4fNHqLYFW3+ZVBVVYX4+HikpqbCyclJ3N6rVy9kZ2fj559/xrBhw1BdXY19+/ZZZSjnf5FNG6eHJ+oyhYWFqKqqgpeXFzw9PVFUVITS0lKDw6Fu3ryJkpIS9OjRA56ennB3dze4z5qaGhQWFsLe3h5KpdLgXD23bt3ClStXYGNjAz8/P725koqLi1FcXIx33nlHElS6d+8e8vPzERwcrDdn1L1791BYWIjm5mbI5XJ4enpKPnv27FlotVpERUUZLY+GhgZcuHABjx49wogRI+Dl5SWZ+6KwsBDXr19HTEyM5HO3b9/G6dOnDQ4Pu3HjBoqLi+Hs7Aw/Pz+D81hptVpcvHgRjY2NcHd3h7e3tzhfUmdaW1tx4cIF1NbWwsfHB3K5HGVlZbhy5QrefvttyGQyPHz4EH369MG6deuwcuVKFBcX49q1a5DL5fD19ZXsLzExEStWrEB9fb24AmFzczMmTJigF8DJy8tD7969ERQUJJZdXl4egoKC9AInJSUlqKiowGuvvQaFQoHNmzfjs88+w7179yRzNDQ2NuLMmTNoaWnBxIkT0bt3b+Tk5MDV1RWBgYGSfT59+hSFhYWorq6Gq6srfHx8jAaZysvLUV5eLg4LNSWw09TUhOzsbKPvx8TEWHXS8SdPnqCoqAh3797FyJEjxYn/iYisYdeuXVi4cCFKSkr+83OMsCyI6EUT7pXr6+uf+RD1eeXm5mL69Ok4duwYpkyZYpVj/BsxIEVEZAbdgFRnOgakrHXxA2A0IEVERC8GgzD/x7IgohdNuFcWdOW9+a+//orw8HDxNQNS5uGQPSIiIiIiIiL6V/r000/R1tYm/nXlg+Jp06ZJ9s1glHkYkCIiIiIiIiIiom7FIXtERGZoaWnBTz/9BIVC8cyhB7rzT1lLeXk5Ll++jOjoaIuX/yUiIiIiIuoODEgREREREREREVG34pA9IiIiIiIiIiLqVgxIERERERERERFRt2JAioiIiIiIiIiIuhUDUkRERERERERE1K0YkCIiIiIiIiIiom7FgBQREREREREREXUrBqSIiIiIiIiIiKhbMSBFRERERERERETdigEpIiIiIiIiIiLqVgxIERERERERERFRt2JAioiIiIiIiIiIutX/AHWRM5jPS2uxAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure, (left, right) = plt.subplots(1, 2, figsize=(10, 3.8))\n", "\n", "left.plot(1.0 - coherence, quantum_entropy, color=PALETTE[\"disorder\"])\n", "left.axhline(np.log(2), color=PALETTE[\"neutral\"], linestyle=\":\", linewidth=1.2)\n", "left.text(0.02, np.log(2) * 0.93, r\"$\\ln 2$ — mélange maximal\", color=PALETTE[\"neutral\"], fontsize=9)\n", "left.set_xlabel(\"décohérence appliquée $1 - c$\")\n", "left.set_ylabel(r\"entropie de von Neumann $S(\\rho)$ [nats]\")\n", "left.set_title(\"Physique : la cohérence perdue devient de l'entropie\")\n", "\n", "right.plot(dominance * 100, index, color=PALETTE[\"field\"])\n", "right.axhline(0.4, color=PALETTE[\"neutral\"], linestyle=\"--\", linewidth=1.2)\n", "right.text(27, 0.43, \"seuil critique proposé\", color=PALETTE[\"neutral\"], fontsize=9)\n", "right.set_xlabel(\"part du point de vue dominant dans le fil [%]\")\n", "right.set_ylabel(\"IDE\")\n", "right.set_title(\"Société : le fil qui se referme perd son index\")\n", "\n", "save_figure(figure, \"fig01_entropie.png\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cell07", "metadata": {}, "source": [ "## Ce que le notebook établit\n", "\n", "1. Une superposition cohérente a une entropie **strictement nulle** : l'analogie doit\n", " parler de décohérence, pas de multiplicité. C'est une précision qui protège\n", " l'argument (voir l'audit, point 5).\n", "2. L'entropie de von Neumann **est** l'entropie de Shannon des valeurs propres de\n", " $\\rho$ : les deux disciplines mesurent la même chose, ce qui justifie le pont.\n", "3. L'IDE se comporte comme attendu — il vaut 1 sur un fil équilibré, tombe à 0 sur\n", " une bulle fermée, et traverse le seuil critique bien avant la fermeture complète.\n", " Un régulateur peut donc détecter un gel **en cours**, pas seulement constaté." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.14" } }, "nbformat": 4, "nbformat_minor": 5 }