{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Neipel Heterogeneous SIR Model Example\n", "\n", "This example compares the **classical SIR model** with the **Neipel heterogeneous SIR model**. The Neipel model accounts for population heterogeneity in individual susceptibility using a gamma distribution shape parameter `alpha`.\n", "\n", "- **Large `alpha`**: Model approaches homogeneous (classical) SIR\n", "- **Small `alpha`**: Strong heterogeneity in susceptibility" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Import Libraries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from epimodels.continuous.models import SIR, NeipelHeterogeneousSIR" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define Parameters" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Population parameters\n", "N = 100000 # Total population\n", "I0 = 10 # Initial infected\n", "R0_init = 0 # Initial recovered\n", "S0 = N - I0 - R0_init # Initial susceptible\n", "\n", "# Epidemiological parameters\n", "beta = 0.30 # Transmission rate\n", "gamma = 0.10 # Recovery rate\n", "\n", "# Time range\n", "t0 = 0\n", "tf = 160\n", "\n", "# Heterogeneity parameters to test\n", "alphas = [10.0, 1.0, 0.3, 0.1] # Large to small alpha" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run Classical SIR Model" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Classical SIR: R0 = 3.00\n" ] } ], "source": [ "# Initialize and run classical SIR\n", "sir = SIR()\n", "sir(\n", " inits=[S0, I0, R0_init],\n", " trange=[t0, tf],\n", " totpop=N,\n", " params={\"beta\": beta, \"gamma\": gamma},\n", ")\n", "\n", "# Extract results\n", "t_sir = np.array(sir.traces[\"time\"])\n", "S_sir = np.array(sir.traces[\"S\"])\n", "I_sir = np.array(sir.traces[\"I\"])\n", "R_sir = np.array(sir.traces[\"R\"])\n", "\n", "print(f\"Classical SIR: R0 = {beta/gamma:.2f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run Neipel Heterogeneous SIR Model\n", "\n", "The Neipel model uses state variables `[I, tau]`. We reconstruct `S` and `R` using:\n", "- `S(t) = (N - I0) * (1 + tau/alpha)^(-alpha)`\n", "- `R(t) = N - S - I`" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Neipel alpha=10.0: Peak I = 25457, Final R = 91092\n", "Neipel alpha=1.0: Peak I = 17382, Final R = 66425\n", "Neipel alpha=0.3: Peak I = 9089, Final R = 37208\n", "Neipel alpha=0.1: Peak I = 3766, Final R = 16175\n" ] } ], "source": [ "def reconstruct_neipel_states(I, tau, N, I0, alpha):\n", " \"\"\"Reconstruct S and R from Neipel model outputs.\"\"\"\n", " S = (N - I0) * (1 + tau / alpha) ** (-alpha)\n", " R = N - S - I\n", " return S, R\n", "\n", "# Store results for different alpha values\n", "neipel_results = []\n", "\n", "for alpha in alphas:\n", " # Initialize and run Neipel model\n", " neipel = NeipelHeterogeneousSIR()\n", " neipel(\n", " inits=[I0, 0], # Initial I and tau\n", " trange=[t0, tf],\n", " totpop=N,\n", " params={\"beta\": beta, \"gamma\": gamma, \"alpha\": alpha, \"I0\": I0},\n", " )\n", " \n", " # Extract and reconstruct results\n", " t = np.array(neipel.traces[\"time\"])\n", " I = np.array(neipel.traces[\"I\"])\n", " tau = np.array(neipel.traces[\"tau\"])\n", " S, R = reconstruct_neipel_states(I, tau, N, I0, alpha)\n", " \n", " neipel_results.append({\"alpha\": alpha, \"t\": t, \"S\": S, \"I\": I, \"R\": R})\n", " print(f\"Neipel alpha={alpha}: Peak I = {np.max(I):.0f}, Final R = {R[-1]:.0f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot Comparison: Infected" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "\n", "# Classical SIR\n", "plt.plot(t_sir, I_sir, label=\"Classical SIR\", linewidth=2.5, color=\"black\")\n", "\n", "# Neipel for different alpha values\n", "for res in neipel_results:\n", " plt.plot(res[\"t\"], res[\"I\"], label=f\"Neipel α={res['alpha']}\")\n", "\n", "plt.xlabel(\"Time\")\n", "plt.ylabel(\"Infected Individuals\")\n", "plt.title(\"Infected: Classical SIR vs Neipel Heterogeneous SIR\")\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot Comparison: Susceptible" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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iKXV4JSW9UnoipYvyI1va5UobT/mBJMFGemgd+kjpZGq9y6b0I1UPsivt8kNdAippD5yZYc+kUzNp2yntzCVQlh/uEshIe1Lr0lhZL+eR0lcpwZJJSo2lNE4CdyEdoslzJIiVPJaAUdp3Ssdz0l42syTQkVI+CUgluJe2lnKTQEoW33vvvWQdPWWU3GyQEjKZpGM96WhPggWtLXhqJCDQejWX6yftlKVNtbRvTmtsaSGBinwepE33+++/r4Y7unr1qqX9vObrr79W+aNdUylVlLyR/dNTsm5d6q219U5peCy5hnKzRDrpS4kEQI9KyydpPy3t1ZPKid7uH/V1aq9BbvpISXZK5CaWNevS7uwi6ZLP6Pz581PcLgGzNfmMp8S6RoQcU0qQpbQ3JdrNivTK6b8Xaf3tSot8rrSbC3JDTW56SVtzGaZMRgcgotzHwJuI8j0tyJCOdaw7kZLAyFpqJRxS+iUlpzJJaYl0kiPDv8gPKa3jGinlSKmkSkjPu0Kqs6a2T1JSaiM/mDRS+iPplx9UmowOsyTVH6XatXWpt3TMJFLrHCozaU8PqfIqVSul+qtU4c0oKa2VtMkPWuvrkNKPU/khK+eTSX6USz5Kr+pSiq/dNJDe2uUHrkxyrSUYl1Kj1AJvyXc5lpREaR25JSWdc0mVfEmjHE8jTROy4z0ugbe8Rx4WeFvTblbIe02qsKdnrHKpbi7XUAJ1KfmWTt7k2iYlgaJMUmotnVtJB31yM2PChAkZSp88XwviU8oHqZorVe0zO+zYwz5r2mdcAsSs/AxkREZeZ0rbJYCVkl0JFjP7GrT3leS7VsVdI+u07dqj1JZJKuk6eV0bNmxQ742sCvTlmJKHD3udkk45t5QqW5d6a01AtNeRlX8vHvVvV0ZIMyK5gSifn7Q6KCSinMOq5kSUb0h7wJTagmptNbUqklICKaUBWls/jYyRbE1+pCatHis/vqXUTxvCR35USZVM6Sk36Q8zLS3yHCmRlGAvpR9QKY2/LFVCZZgrjfSgLG2YrX+8SQCd9JxpkedLGjRS2izL8qNc2lSmJKNpT+9wYtL7r/xAlfaUWvBvTX6wphWgaSVf1vktbSslmLcmga81qXaplexpeZh0Hyn1lYA86XBU1qT0VY4lJbFJS661NKWURrnmSd9n6XX79u0Uq5zKMaU9p6QnM7UPJH+lFFzewzJe88PIMGHy2v744w9VEic9+lvfzJH2+/JesyYBuKQvrWuaGimlldclvcinVMIobdtTGvM9MjJS3Wh6mId91qSmh3xnTJo0KdF+mvSOn/4oMvI6U/pekPySfJMbXXKTMDOvQYJA+T6QmyfW+Si1SKTXbmnrLeT7UZreyDBfEgBr5MaQtP1O+rrke1ZqNSQleZCR7zfrY8r3gNRySUqOp7035caKnFtuOFmTYFWCVC3/s/LvxaP+7coIqYkh36+SNyndtCKinMcSbyLKN2ToImnTJnf3pSqzBCRS0ialclKiq7VlFFKS+fnnn6tH+UEpP6qSBoBSEiLV96SNXe3atVVAJiUk+/btU1VphQQT8kNdSvyk5FPOIQGllJpIm0ztx5+0cZUqvRKAyPBXUlorQ/HID8Tr16+r0ixrknYp3ZIfkVKaJD/y5PlSrVgjwbKcWwJUCUzkR17Skihr8gNQqj1K21WpwijXRaphS+Bh3blUUhlJe3qHE5NSJKmOKT9+5bpJcKUF/1IVW4K6Ro0apfp8CfakJFnyWn7wSymyBATS5tr6x77kr3S8JtdF8lJKqX744Qd1Tq0tpzxHgk85v5R8SydS2pBAqZHrLcO4ScAgVUulKqe0k5b3hlxnKUWWYcbkdUrVXqlqLT/mpbpyah2FPYxcawmQ5bXIdZZqz3KDQq6V5IF08CcBQmZIdX1pvy3DOslNkbTI+0xKiKXas3xGpATcmrQ3l2snx5P3mQQ68rq14C+j5Hlyra0/v5oXXnhBVXuXNEvwIiWnEgDJ50/Wy+dPKzVMzcM+axJ4yedMziU32qQtvdyskir20p5Wzpk0eMtqGXmd8j6W7ynJH3kvyo1B6QROvu/kuTIvn2N538tnQz5vsr/Mp0W+I+T7Q/JBmlBITRVtODH5fn377bct+8pNCmlzLOmU/aXdslwjCcitP59yHCmZlc+LfBfJkHRyHqmFIDd15NgZHXJQ3svSIZl8R2hDjcmNCQn65XMt303yOZHvbHkfy3tL1sl3vFQPlyBVPkvWw3Bl1d+LrPjblRHy+qUDSMm3lJpqEFEOy6be0omIctyaNWvUUFJVqlQxubm5mRwcHEwVK1Y0vfnmm6Y7d+4k2leGyZHhV2T4F3d3d1OvXr3UMCzWw8PIcFWjRo1Sw03JPjJEjcxPnTo12bl37NhhatOmjWW/WrVqmX744YdE+1y4cEENB1W0aFGTvb29qUSJEqbOnTurIZ2SDnG0detW05AhQ9SwUfJa+vfvb7p//36y4YxkWBk5pzxHG24rteHEZPgxGWZGhqtxcnJSw9L8+OOPiY6Z2tA56Ul7RoYT09y8edP09ttvmypXrqzSJMNsyfBOEydONAUHB6c6nJgM2TVp0iR1LhlOqG7dumpYo6TDckn62rZtq4ZBkvdD6dKl1XBet27dsuwjwwk1aNBADRnl7Oys3j9yfuuhfFIbJurXX39V55Y0SF5JGtevX2/ZLsM8NWzYUB23ePHilmGCkuZPeoYTCwkJMU2ZMsXUrl07NVST5IPkveTnjBkzEg1jltZwYvv27Ut2bBkSrUKFCmpKa+g1jZxPjiXntx5aSly8eFF9DuVYkqc+Pj6mli1bqmHMMjKcmLXY2Fh1vKTDbAnJp8mTJ6v3t5YP8h765JNPEr2HUhtOLD2fNe2ayrWX7wx5XZKeQYMGqc9UZoYTS+l1ah7ldZ4+fdrUrFkz9Z6T41i/ZvkelOOWKlVKvX/k8yzDBU6fPj3R60xrOLhFixZZ3vOSt3K9rl+/nmy/hQsXqs+S7CdDkK1YscLUo0cPtS4pOb+8FkmzvKdkODL5rMj3Q1rDaKX03SBkGLOxY8eq73/53BcuXFgNfyjD71l/rmU/+f6Rz6ZcDxkeUYbfsv4sZcffi0f525XacGKpDWP28ccfJ/u+IaLcYZD/5XSwT0REKZMSRyndkFKSh5XUEVHm8bOW86SmidQWSGt4PyKi/IptvImIiIgoy0hb+KTt/KWzQWkSIc06iIgKIrbxJiIiIqIsIx3BSa/i0neDtDOXtujSB4P0S/CwPgSIiPIrBt5ERERElGWkU0Hp1GzmzJmqx3TpaV06QZQOymT8eSKigohtvImIiIiIiIiyEdt4ExEREREREWUjBt5ERERERERE2YhtvHOQ0WjEzZs34e7uDoPBkJOnJiIiIiIioiwkI3OHhoaqjiRtbNIu02bgnYMk6C5VqlROnpKIiIiIiIiy0bVr11CyZMk092HgnYOkpFvLGA8PD+ixRF56H/X19X3oHRvKGcwT/WGe6A/zRH+YJ/rDPNEf5on+ME/0x6jz+CQkJEQVrGpxXloYeOcgrXq5BN16DbyjoqJU2vT4xi6ImCf6wzzRH+aJ/jBP9Id5oj/ME/1hnuiPMY/EJ+lpRqzf1BMRERERERHlAwy8iYiIiIiIiLIRA28iIiIiIiKibMTAm4iIiIiIiCgbMfAmIiIiIiIiykYMvImIiIiIiIiyEQNvIiIiIiIiomzEwJuIiIiIiIgoGzHwJiIiIiIiIspGDLyJiIiIiIiIshEDbyIiIiIiIqL8Gnhv27YNzzzzDIoXLw6DwYC//vor0XaTyYRx48ahWLFicHZ2RuvWrXHu3LlE+wQEBKB///7w8PCAl5cXXn75ZYSFhSXa5+jRo2jatCmcnJxQqlQpfPHFF8nSsmTJElSpUkXtU7NmTaxevTrDaSEiIiIiIiLSVeAdHh6O2rVr46effkpxuwTI33//PX755Rfs2bMHrq6uaNeuHaKioiz7SNB94sQJrF+/HitXrlTB/JAhQyzbQ0JC0LZtW5QpUwYHDhzAl19+iY8//hjTp0+37PPff/+hb9++Kmg/dOgQunXrpqbjx49nKC1ERERERERESRlMUpSrA1LivXz5chXwCkmWlIS/8847ePfdd9W64OBgFClSBHPmzEGfPn1w6tQpVKtWDfv27UP9+vXVPmvXrkXHjh1x/fp19fyff/4Z//vf/3D79m04ODiofcaMGaNK10+fPq2We/furW4CSOCuadiwIerUqaMC7fSkJT3kJoCnp6d6rpTQ60lcXBxiY2Nx9+5d9bpsbGxUnsgkks5TzjAajfD394efn5/KE8p9zBP9YZ7oD/NEf5gn+sM80R/mif4Ydf5bOCPxnR106tKlSypYlirdGnlRTz75JHbt2qWCXXmU6uVa0C1kf8kUKZXu3r272qdZs2aWoFtISfXkyZMRGBgIb29vtc/IkSMTnV/20aq+pycted3XX3+NCxt/RSEn81vCZDWpZZMp0bwRBvM6gzzKOsCYsN1oMsBkkMeEZfUcg/n5CfupY8vz1P4qmofJkBDsS0WMhHmjwYB4ky2MsEG8wU4dOw62MMEesLWFvZ0D7OzsLJOtrW2i5ZTWWS/b29vD3d1dTfJhkSnpvOxDRERERESUWboNvCXQFVL6ak2WtW3yKHc/rEkw5ePjk2ifcuXKJTuGtk0Cb3l82HkelpaUREdHq8n6joh250YmPZH0PBtrgzJX05suSxiexrbsF2cDxGuTLWBMmLd+NCZaNiRelhsEEuDbAAEG4F7Ccrw8AuoxHgbEGQyItLFFuMkOEXBApMEZsbbusPMoDDcvb0uwnlYQ7+bmluE7dZIv6kaHzt4vBRnzRH+YJ/rDPNEf5on+ME/0h3miP0ad/xbOSLp0G3jnB5999hk++eSTZOulOrfe2oZLh3R3PW1gNJjfPAar+Nm6YrnBlPzRoC2bUlmvLae23ZR8f5uE9fJoGw/YGRPWJSHrZUq/R7lREJvi2ih7IMIJiHKUyYAIewNu2wIXpElCnAn3Y2JxJzQG1++HwT/UiDgHZ5hcXOCaEKRLfwHyKB331a1bF48//rjlhpJ8mKXqinzh6LF6TUHEPNEf5on+ME/0h3miP8wT/WGe6I9R57+FQ0ND837gXbRoUfV4584dFZBoZFnaXmv7SJ3/pG2Vpadz7fnyKM+xpi0/bB/r7Q9LS0rGjh2bqAq7lHhLr+q+vr66a+Mtvctv9/LC+bAwFQgKrfm/qlKeMK/ddbKekq6zXk7vtvj4eDVJ/slkPW9Zjo2GrcEk5c+wNRhhazLC1sYIW0M87CCPJlUJ3c7GpLbbGSAV0mFjMMFO1hug9lGP8uY3yAfAoJ4jy9qkgn0t6JcPuUmCexMcYwHHaBOco6AmtyjzPk6x5gnqc2ddQd/6Y2YHOLoAjuY1cq8gyhiFiOgoRJruITIaCA88jtCT67F2bjwiDPaw8yyMwmUeQ8mK1dG4dVt4lCgBg4sL29jnMnnfSjMI+Rzr8Q9AQcQ80R/mif4wT/SHeaI/zBP9Mer8d5eMiJXnA2+pHi4B78aNGy3BrQSu0nZ76NCharlRo0YICgpSvZXXq1dPrdu0aZPKIGl/re0jnatJx2FaW13pAf2xxx5T1cy1feQ8b731luX8so+sT29aUuLo6KimpORNo7c3jnQm16BBA113XpCVtGA/JiZG3amSSfJUpvTMh5hCYLSPhKezEd5ORvg4G+DtaANPO0BuWzgbjSoYd4gxqWDdySpYd4k2DycgjzIlD9Rlazxw8w5wSm4IbcOdH3/GnYSq9VFOBkQ528KukA/8GjSD7xNN4VynNuyTNIWg7CN/APT4OS7ImCf6wzzRH+aJ/jBP9Id5oj8GHf/uykia7HK7evP58+cty9KJ2eHDh1Ub7dKlS6tAeMKECahUqZIKfj/88EPVu7jW83nVqlXRvn17vPLKK6r3cQmu33jjDdXZmewn+vXrp6p7y1Bh7733nhoibMqUKfj2228t5x0xYgSaN2+uOhjr1KkTFi5ciP3791uGHJPMflhaKG+RPNU6WHNxcUnWfj+j5GaP9IyfUqAeHBKC66GhCAwKRGjEPcTE3INtTDDs48PgbIyGY3wMnOLj4BAXD4dYIxxjTHCIBhyjoAJ290jALRJwSKhy7xZhgltEHHDfHzFnl+LGvKUqDXGFPOFZ7wm41nlcBeJO1arBJgN34YiIiIiIKHvkauAtwW3Lli0ty1q17IEDB6phukaPHq2CGRmXW0q2mzRpooYLsy7Snz9/vgq2W7Vqpe449OjRQ423bd37+Lp16/D666+rUvHChQtj3Lhxicb6bty4MRYsWIAPPvgA77//vgqupUfzGjVqWPZJT1qo4JL3ntaxmnbTJzM3oqT2htSkUNPhvYiICEXR4u7wKeqCwj728HW1g5cjVCm7jSkGLndtUPGmCWX8Abv7wQhft0FNwmRrC8cqVeBaty6ca9c2l4qXLMmq6kREREREBXUc74JAz+N454Vx8gqia9euqRtHZ86cwd69e9XNKrkBJOydnNGq6WOo2cABBu9gBIUa4HvbBpVumlD5hgle5t0S8/SA6+OPw6V2HXOpeI2asHUzt+mn9OHnRH+YJ/rDPNEf5on+ME/0h3miP0adxyf5YhxvIgJKlCihmj+8+OKL6stGOpo7efLkg1LxPXvw76QjgK0DGtSrgqcbuuNW8wBsd4nF1RgHlL0JVL5pQqUbJpS7A9gHhyB88xY1CRmH3a58ebjXq2cpFXcoVw4GHX6xERERERHlVQy8ifIQaZNeq1YtNUnfBkLakktJuCUYX3oF7j4+6NqgEMqVD8T9EoGY1twRtwx2KviWIFyVil83wTfUhPgLFxAk0+LF6ngmZ2e41KljrqJepzaca9WCrZdXLr9yIiIiIqK8i4E3UR4n7cqlrwStvwRpPXL9+nUVhO/asxdH9l7BY+5h6FMuCCbP69hXwx7T6zsi0sYWXmHmIFyC8QoX4lHxngHOkZGI3LVLTRqHsmXNJeJ166hHx0qVYLDj1wcRERERUXrwlzNRPuyxXcaLl6lnz55qnVRRP3rsGP7Zuheu5w9juMMl+HqcwXEXI3aUdcKCyg5AS1vYGE0odReodDEe5U7HovJdA8rE2yHm8mU1Bf/9t/kczs5wrlHDXCIuAXnt2rDz9c3lV05EREREpE8MvIkKSBX1x+vWVZNWKr779DWY1i9Hl6v/oZrdEdx0DcEOZyfsKuyMDUXsgEbmrwcZvqzCKRO62FZB1bs2cDhzBcbQUETs26cmjX3x4uZAvE5CqXjVqrBxcMi110xEREREpBcMvIkKaKl4o6ql0ajqCJhMw3H2ThhO79mFKsf/Rp87u2DvfA07nJ2x08UJJ5wdcKSeDY7grHqua3tntDU0QpMgP5S7HgvbE+cRfe4cYm/eVFPI6jXmc9jbw6lmTbi3bQOPDh1g/4hjpRMRERER5VUMvIkKOAnCHyvqjse6tgW6tsWle+HYduAYYg/8iSH3d6Oq3SkccLHDzoRAPACRWI59WO4GoApQtkFZNPPugyahRVH2Wgzijp1E5JEjiA8IQOTBg2ryn/wFXOrXh0enjnBv1w523t65/bKJiIiIiHIMA28iSqRcYVeUa9cQaNcQR85dRbcPPkdNrwh09L2D0baHccsxVgXhUi39iJMjLodcVtNvAJw9nTH8zeHoV+VHxF2/jrDt2xGyarUKvrWq6bcnTIRr40bw6NgR7q1bw9ZNIngiIiIiovyLg/USUapqVyqNLXO/QWR4HHp+txvl/qmND893h929JzHxVjy2XbmO7+7cRc+QUBSNi0dkXCQm75uMYZuGIcTXBT79+6PsgvmouGkj/EaNglO1atLTG8K3bcetMWNxrvFTuP7mcISs/RfGqCjmBBERERHlSwaT9LJEOSIkJASenp4IDg6Gh4eH7q660WiEv78//Pz8YGPDezJ6oJc8ka+JiRMn4sMPP1TLNk7ucK7UAK0a1UFrv/voaNiF8ja3sMDLB98W8ka0MRY+Tj74tPGnaF6qeaJjRV+6hJDVq1VJeMzFi5b1Ni4ucGvdSpWEuzVuDINOO2bTS57QA8wT/WGe6A/zRH+YJ/rDPNEfo85/d2UkvtNf6olIl+3AP/jgAyxevBjOzs4wRoUi/NhGrJj+NSbN3YJxPl9hR3wN9A8KwIIbd1DZtQQCogLwxqY3MHH3RETFPSjNdixXDr6vv47yq1ai3F/LUeiVwapHdGNEBEJW/IPrrw3FuabNcOvDcQjfvQem+Phcfe1ERERERI+KgTcRpdtzzz2Hbdu2oVixYpZ1t69dxp8f9sfHdm9ja3wtVI4Kw/zTh/FC8RZq+8IzC9FnZR+cCTiTLJh3qlIFfu+8gwobN6DMHwvg/cILsC1cGPHBwQhasgRXBw3C+RYtcXvSJEQePqxK3omIiIiI8hoG3kSUIfXr18fevXtRN2FMcBEVFoItXwzGyLg3sCm+DpziIjFqz2L8Uu1VFHYujAvBF9B3VV/8duI3GE3GZMeUINylbl0U/d/7qLR1C0rPmQ2v53rCxtMTcXfvIvC333G5T19caN0G/l9/g6gzZxiEExEREVGewcCbiDKsZMmS2L59O7p162ZZZ4wIxtFpI/FG1DCsj38chrgoNF77KZZVfxMtSrZArDEWX+7/EkM3DMXdiLupHttgawvXhg1RbPx4VN6+DSV/ngqPZ56BwcUFsTdu4P6MGbjUtRsudn4Gd6dORczly8xBIiIiItI1Bt5ElCmurq5YtmwZxowZY1kXF3gTF//4BMOi38C/8fVhiI+G95+v4vsSHfDBkx/A0dYR/938Dz1W9MDmq5sfeg7pYM29ZUuU+PILVN65AyW+/QbubVqr9TEXLuDe9z/gQvsOuNSjJ+7/Ohuxt24xN4mIiIhIdxh4E1Hmv0BsbPDZZ59hzpw5sLe3V+uib5zCzRXfYljMG1gd3wCG+BgYFg9Ab5MrFndejMe8H0NgdCCGbx6O8bvGqyHI0nUuZ2d4dOiAkj/8gEo7d6DYZ5/BtUkTwNYWUSdOwP+LL3C+5dO4/PzzCFiwAHEBAcxZIiIiItIFBt5E9MgGDhyIjRs3olChQmo54sxO3N38G4bHvoF/4hsCxlhgyUCUv3kMCzotwMBqA9V+i88uVh2vnQ44naHz2bq7w6t7N5SeOQOVtm9D0Y/GwaV+fbUtcv8B3Pl0vOoZ/erLgxH053LEh4Qwl4mIiIgo1zDwJqIs0bRpU9XpWtWqVdVy6L6/ELB/Nd6KfR1/xzcGjHHAkhfhcGol3n3iXUxrMw2+zr64GHxRdbw298TcFDteexg7Hx949+2LMvN+R8Utm+H33ntwqlEDiI9H+M6duPX++zj3VBNce+MNNX64MTJ9JexERERERFmFgTcRZZny5ctj165daNeunVoO3DQToWf34u3YYVge1xgwxQPLXgaOLkHj4o2xrMsytCzVEnHGOHy1/yu8uv5V+Ef4Z/r89kWLotCLg1Bu6RJU+HctfEcMh0PFCjDFxiJsw0bcGPkOzj7VBDfeeRehmzbDFBPD3CciIiKibMfAm4iylKenJ1auXIk333wTMBlx75+vEHnzHN6JG4Yl0Y3UOiwfAhxZCG8nb0xpOQXjGo2Dk60Tdt/arTpe23h14yOnw6FMGRQeOhTl//kH5f7+G4WGDIF9yZIwRUQgZNUqXB82DGebNMXNDz5A+H//wRQfnyWvn4iIiIgoKQbeRJTl7Ozs8P333+Onn36CjSkO/ss+RXSQP0abXsfC8CcSgu/XgEPz1Rjez1V+DoueWYSqPlURFB2Etza/hU92fYKI2IhHTosc3+mxyvAb+TYqrF+HsosWwmfgANj5+sIYEoLgpctw9aWXca55C9yeMBERBw9xjHAiIiIiylIMvIko2wwbNgxr1qyBuz3gv+QjxEWGYaztCPwWWAuACfj7deDAXLVvec/ymNdxHl6s/qJaXnp2KXqv7I2T909mWXokCHeuXRtFxo5V7cFLz50Lr169YOvpifh79xA4bx6u9OuHC61aw/+rrxB16hSDcCIiIiJ6ZAy8iShbtWnTRrX7LuPthLvLJsAYF4dxzu9hxq3K5uD7n+HA/l/Vvg62DhhZfyRmtJ0BP2c/XA65jP6r+2P28dmZ6ngtLQZbW7g+2QDFPv0ElXZsR6lpv8CzaxfYuLgg9uZN3J85C5e6P4uLnTrj7o8/IfripSw9PxEREREVHAy8iSjbSU/ne/bswZMVCuPeyq8l7MVE748w9VJJ8w4r3wb2zrDs37BYQ9XxWqvSrVTHa98c+AZD1g3BnfA72ZI+g7093Jo3R/HJk1Hpv50o8d13cG/bFgYHB8RcvIh7P/6Iix074uKzz+L+rFkw3smedBARERFR/sTAm4hyhIzxvX79evRuXBkBm2ap4PuLYpMx5XRh8w6r3wV2/2zZ38vJC9+2+BYfN/oYznbO2HN7D3r80wMbrzx6x2tpsXFygkf7dij5/RQVhBef/DlcmzeThuuIPnkK977+BsG9++BK//4ImDcfcffuZWt6iIiIiCjvY+BNRDnGwcEBs2bNwgc9GyH0wD8q+P6m5Jf48oibeYe1Y4D/fkzUJrtH5R5Y1HkRqhWqhuDoYLy15S18/N/HWdLx2sPYurnBs2tXlJ42DZW2b0PRjz+Gc4MnJGGIOnQYdyZMwLlmzXH1pZcQtGwZ4oODsz1NRERERJT3MPAmohwlwfTo0aMw642OiL64DwY7R3xf+ktM2mtv3mHd/4Ad3yV6TjnPcpjXYR5eqvESDDBg2bllquO1E/dO5Fi67by94d2nN0rPmQPPxYvgO+Y9ONWqBRiNCP9vF2797wM1PNm1ocMQvHIVjBHZf2OAiIiIiPIGBt5ElCu6de2Cv0Z3geneJdg6e+KnUp/hk50JGzd8BGz7KtH+9rb2eLve25jZdib8XMwdrz2/+nnMOjYL8cacHYPbxtcXPgMGoNziRWqIMt+33oJj5cpAbCzCNm/GzXffxdmnmuDGyJEI3bgRxpiYHE0fEREREekLA28iyjVP1n8ca97vCtvIQNh7F8cvxT7CuK1x5o2bxsO4+fNkz2lQrAH+7PIn2pRpgzhTHL47+B1eWf8Kboffzp3q86VKofBrr6L8ir9R/p8VKDT0NdiXLg1TZCRCVq/B9dffwLmnmuDm+/9D2I6dMMUlvD4iIiIiKjAYeBNRrqpWvhT+ebc97OKj4Vj8Mfzi/TbGboxW22y2fobYfz8GTKZEz/F09MTXzb/Gp40/VR2v7bu9Dz1W9MD6K+uRmxwrVYLfiBGo8O9alF2yBD6DBsGuSBEYQ0MR/OefuDZ4sGoTfvvTTxGxfz9MLAknIiIiKhAYeBNRrqtWqjAWDGsOGxjhUrkRpjkNwqj1UWqb/a5vEfr36GTBt7QV716pO5Y8swTVC1VHSEwIRm4ZiXE7x+VIx2tpkbQ516yBImPeQ8XNm1Dm99/g1ac3bL28EB8QgMAFf+DK8y/gTL36uNTzOdz66GMELl6MyBMnGIwTERER5UMGkynJr1nKNiEhIfD09ERwcDA8PDx0d6WNRiP8/f3h5+cHGxvek9GDgpYnq47ewusLDqr5gE0z8bLtanzbzkkt367YB0X7/6J6FE8q1hiLnw//jJnHZsIEE0q7l8bkZpNRo3ANXeWJKTYW4bt3I2TVatUWPKVe0GVMccfHHoNT9epwql7N/FipkhpTnLI+Tyh7ME/0h3miP8wT/WGe6I9R53/jMxLf2eVYqoiIHqJTrWK4GVQVE1efgs/TgzH9r7uIW7MXP3RwRtHzC3H2p0BUfn1RsuDb3sYewx8fjkbFG+H9He/jauhVvLD6Bbxe93W8WP1F2NrY6uLaS1Dt1rSpmuSeZ+z164g6ccIyRR4/AWNICKKOH1dTisF4jepwrl4djhUrMhgnIiIiyiNY4p2DWOJN+e0uX3aQgPTjFScwd9cVID4Wt/94Hy8VO4+pnZzV9n229VH/f+thSOV6yFjf43ePx7+X/1XL9YvUx2dNP0NR16K6z5OkwXikBOAnTqpgPClLMF5DSsYLdjBeED8nesc80R/mif4wT/SHeaI/es8TlngTUZ4l7aPHPVMdN4KisOHUHZToMx4zfh2OuH/uYvozzngifj82vPs4mk7aDUcnczX0pB2vfdnsSzQt0RST9kzC/jv78eyKZzGu0Ti0L9seen/t0ku6TB7t2ycPxo8fV+3AtWA8xZLxKlUsVdRVMC7V1O0TxkgnIiIiolzBquZEpDu2Ngb80Lcu+szYjSPXglD5lSmY9eNgxBkjMLOLE1p7XMLaUY+j/ZTjQAp3PyWA7VqxK+r61cWY7WNw7N4xjNo6Cjuu78DYJ8fC1d4VeUWqwfi1aw9Kxq2D8WPH1GR5voNDQjX1hGC8Rg1zyTiDcSIiIqIcw8CbiHTJ2cEWswbWR/epO3EtAHjy3dmY98XziDdFYXZXJ7QvdAN3Z/eH74vzUwy+RWmP0pjbYS5+OfKL6njt7wt/46D/QXze9HPU8q2FvEoF46VLq8mjQ4eUg/HjJxB18uHBuATiEpAzGCciIiLKPgy8iUi3Crs5Ys6LDdDj5/9wMwLoOGEpfhvVGfHGKMzt5gTfa6uBFW8AXX4AUulATTpee7Pum2hcvDHGbh+La6HXMGDNAAyrMwwv13hZNx2vZXcwrrUXl3kZV1wLxoOwKHEwntB5G4NxIiIioqzDwJuIdK2CrxtmDKiP/jP34PBdI2oN/ATz53yIOKMJ8551ht3h+YAxHug2NdXgW9QrUg9LuyzFhF0TsObyGvxw6AfsvLFTdbxW3K048qM0g3Gr9uLJg3E8CMYT2owzGCciIiLKPAbeRKR7T5T1wbe96qgxvoOL1IV7/a5YtP9vxJsiseg5N9gcXQiYJPj+BbBN/WvNw8FDje/dtGRTTNwzUVU777miJz5v9jmalWyGgiBRMN6x44Ng/OrVRO3FLcH40aNqSjUYlzbjFSqwzTgRERFRGhh4E1GeG+Pb++mXER96D0tP7sRbOzwxpVkoDMeWAMY44NkZgK19moHnMxWeQR2/OqrjtaN3j+KNjW/g7XpvY1D1QWp7QaOC8TJl1GQJxo3GB9XUVY/qCW3GHxaMa23GGYwTERERWTDwJqI8Y3DTcrgeGKHG+C7c+R3cCbuPHzaexiuvfoaap74CTiw3Vzvv+Wuawbco5V4Kc9rNUSXfy84twzcHvsHZwLP4uPHHcLR1REEn46SnGYxLIH7i4cG4c8I44wzGiYiIqCBj4E1EeW6M7wu3A7HjUgh8n/0Qt+eNwvglB7F4/Dxg8QvAqRXAkkFAz9mAnUOax7O3tcdHjT7CYz6PYfLeyVh5cSWuhFzBdy2/g5+LX469rvwQjFt33pY0GLc839ERjlUes7QXZzBOREREBYXBJI37KEeEhITA09MTwcHB8PDw0N1VNxqN8Pf3h5+fH2xSGZ6JchbzJGWRMfGoN+o3RDj7ITbwFu79MQaXzxxDsbDjwML+QHw0ULkD0GsuYJe+0us9t/bgna3vIDg6GL7OvpjScgpq+tZknmSCCsavXk3UXly1GQ8LS7ZvsmBcazNul/77wvyc6A/zRH+YJ/rDPNEf5on+GHUen2QkvmOJNxHlyTG+P21THCNWXoe9dzH4dBuLaTN/xccf/g/o+wewsB9wdg2w6Hmg1++AvdNDj/lksSfxR6c/MHzTcJwPOo9BawepaufSHpwyUTJetqyaPDt1SjkYlxJyKRkPC0PUkaNqSjkYr6GGOMtoME5ERESkJyzxzkEs8ab8dpcvt69NpcebIKb5m7B19oDp2mGcm/MeHOztgItbgAV9gLhIoEIroM98wN45XccNjw1Xna5tubZFLb9Y/UWMeHyEZbxv5knWsQTjWntxrZp6KiXj9kWLwtbHB7be3rD19oKdzHt5w8bbC2EGA3zKloN94UJqu42ra4HsKE8v+DnRH+aJ/jBP9Id5oj9Gnf8Wzkh8x8A7BzHwpvz2ZZPbvvrqK3zw3WwU6TMBBjsHNCtqxNwRnc0B16XtwIJeQGwEUL4F0OcPwMElXcc1moz48dCPmHFshlpuUqKJGoZMhiNjnmR/MB5z5UqiKuqpBeNpMdjbJwTo5snOx1sF6WrZxxt26jEhiPeSZS/VIRxlDX5O9Id5oj/ME/1hnuiPUee/hRl46xQDb8pvXza57f79+yhRogRsyz0B365j1LoPOlXF4KblzTtc+Q+Y1xOIDQdq9QaenZ6h46+9tBYf7vwQUfFRKOtRFj88/QNKu5dmnuQwrQO3uLt3ERcQgPjAIMQHBiI+MABx8hgQiCh/fxjCwtR6U2Rkps5j4+b2IDC3BOk+D0rXtSBdgngpVXd3V9XqKTl+d+kP80R/mCf6wzzRH6POfwuzjTcRFQiFChVCr1698PvvvyPQYxa8W76MiatOobiXMzrWLAaUaQz0XwzM6QwcXQTU6Q+Ub57u47cv1x6lPUqrdt+XQy6j36p+quS7kl2lbH1dlHpv6un5o2yMjER8UFDKQXpCoK4egwIRJ/NBQUB8vCpVl0mC/HSxtTWXpnt7mUvTE4J08zqfxKXrCUG8jSOHqiMiIiqI2FMNEeVpQ4cOVYF3yN7lsPUoAo96nfHWosMo4uGIemV8gLJNgCdeBvbNBFa9Awzdme6ezkW1QtWwsPNCvL35bRy+exhvbHoDr1R+BUN9h2br66LMs3F2VpN9sWLpLlGX4c8eBOryGGgpTTcH7gnLCZOq+h4fj/h799SUXgYXF9h5eSVuq64F6SkE6rYeHjDYmvsXICIioryLgTcR5WkNGzZE7dq1ceTIEQRunA6XwiWAMnUxeO5+LBvaGOV93YCnPwROrgDunwP++x5oNipD5yjsXBiz2s3ChN0TsPz8ckw7Mw23Ym9hXONxcLRlCWZ+KFG39fRUE8ql7znGmBhzkB4kwXnyQD0u0Kq0PSAAcVKqHhsLU0QEYmW6eTOdiTPAVgL1tNqqq8nHst3g7MyO5YiIiHSGgTcR5WnSkZqUer/22mtSdImbyyag0f8W4UYEMGj2Pvz1+lPwcfUC2k0E/nwF2PYVUKMn4JPOCCuBg60DPmn8CSp5VcJXB77CiosrVPXz71p+B18X32x7faRPNg4OsCniB/sifuna32QywRgenmKQbq7ynjxQNwYHyxMtpezpJT3Ap9pW3SpIl2UbFxfVqZy8HoM2cdg2IiKiLMfAm4jyvP79+2PUqFEIDQ2FKTYaxi0/oVSHMbgaEIFp2y5gbIeqQM3ngIO/AZe3A2tGA/0Wq9LEjAb5/av2RyEUwsSjE3H03lH0WdkHU56eghqFa2Tb66O8T947ttJ5m5sbULp0up5jio1FfHCwOVBPM0iXbUFq3hQdraa427fVFJ2ZxNraPgjCHexh4+BotewAg2NCoG6vLWvb7c1BvLRjt7NHZGwMArx9YOPkmDi4l/3trY5veX7i7TYO9oC9PUvviYgoX2DgTUR5npubG1544QVMnTpVLe/esh7TRo3HpG2R+PPgDYxq+xjsbG2ATt8APzcGzq0DTv0DVOuSqfM9XuhxzO8wHyO2jMDF4IsYtHaQKg3vVL5TFr8yKshkSDS7woXV5JjOUnXp0d06SFeBeeCDwFwF7lal7caoKJhiYlR7dYv4eHUcrXd4qy0ZFoVHlzi4T/1mgCW4t09hf2050c2ChBsF1sdP2G6TcLzENwPs2Ys9ERFlGgNvIsoXpLq5FniLgyt/g0+xbrgbGo1t5+7i6SpFAN/KwFPDge1fA2vHABWeBhzdMnU+6e18fsf5eG/7e9h2fRvGbB+Ds4FnMbzucNjasDMsyp1Sdem8zcHFBShZIkPPNcXFqQBcJmm/boqJhSkm2rJOrZfSdMu2mETb1XOirfaNiUZEUDCcbG1Vyb1ab3l+DIyxiffXthtjY1Vb+ERpS9iuC/b2sJEAPFkpvQNsLKX4KdQCSHqjQKrz29qYA3kbWxhsDOoRNgZzZ3oGGxjkZqHB5sF+2jr1nAfPTek5lv2s5k0GA+ICgxAdFAQb2V89J+G5luMlfo5lnZZGqQ0hNYW052Sw1hARUUFmMMktcsoRHMeb8tvYhXrTtGlT7Nixw1IKPmLudszbewMdahTFz8/XM+8UEwFMfRIIugo0fhNoO+GR8iTeGI8fDv2AWcdnqe3NSjbD500/h7uDe9a/QEpXnlDezhPpZV4F69aBuppPCOBV0B5tdZMgSRAfm8JNAm1ZtiXdP+EmwoMbDolvElAaJPBOFKA/mLesSxSsG2BQNwusn5PCOrnZYEj9uSk9J9GNioTnPthPHhO2y/HUZL5ZlTDz4PVYb7PebtnHvF+i5yY8R9snxedazqftZ4D8AA8LD4Obu7v5c6I9J0laLOdLlt5Utlltt2xLtD1JWpJsS3zMB+lNts1y48V6/sFLsFwL6/dLSvOJn5D546R6zPQfR767AoOC4O3tnfDdpYO0JZXZbdYnS+emNG+u5dA2o9GIgPBwFH3sMV3+jec43kRUYEu9tcA7LCwMDtcPACiKDafuICA8Bj6uDoCDC9DxK2BBL2DXVKB2X6BI9UyfU0q336r3Fip7V8a4/8ap0u/+q/vjh6d/QBmPlMedJqLUSYAkJcbQwZjnqmwiNvZBgG9dOm9ZTq12gFYz4EHtAEvQHx8HGE3mav0mIxBvVJ1DmuRRbjwYtcf4xPtZ5pM8N9XnmBKti4+NhfrZatk35Uc1padcRkuHVVMFluZknLlRB+lJaG4ngBKxb9YM+OVn5HWsak5E+UaPHj3w1ltv4e7du2p52azvUf3lH3HiZgj+PnwDLz6V0JN55XZAlc7A6ZXAypHAi2vMpSiPoGP5jirQHr55OC4FX0LfVX3xVfOv0Lh446x4aUSUC1Rpj4MDbB0cClwtBC1oTxToS0CvgnirYD3hpkHidfEPgvKE51gH9YmeY33TQT0m3DhI5TlqXZrPsXpukueoGxWSLrk7oB7VjPaCza/TelvCdkvl0NS2ac9LOE6K2yzHsNpuNCEqMhKO0jRB25ZwogynRdIvKx+a1hTSYnlu0ucg9W0J2y3bHrxxMjZv9eRElXAf4ZgqTZk8jhqBIj7e3BwDuZ+eZDK5Lc0bYqk9LxvSgcyk0WRSzXbyAwbeRJRvyI+Xl19+GZ9//rlaPnr0KLr5xOLETWDJ/usPAm/RYTJwYTNwbTdweD7w+AuPfP7qhatjYaeFeGvLWzh69yiGbhiKUfVHqZ7Q2RaSiPISSxVvqe6d24nJp9hMRn+YJ/rNk/xAfxXliYgewauvvpooyD2zfj4cbG1w8lYITtwMfrCjZ0mgxRjz/PpxQERAllx3GdP713a/omuFrjCajJi8b7Kqgh4Tz7aiRERERAUVA28iylfKli2LDh06WJaXL5yHphW81LyUeifScCjgVw2IDDAH31nE0dYR458ar0q7bQw2+Ov8X3jp35dwL/Jelp2DiIiIiPIOBt5ElC87WdPExMTA6eYhNS/tvGPijA92tLUHOn9rnj/0O3B1d5alQUrdB1QfgKmtpqoezo/cPYI+K/vgxP0TWXYOIiIiIsobGHgTUb4jJd5lyjzoUXzNnG/h5+6IwIhYbDx1J/HOpRsCdZ83z0tHa/GJxxB+VE+VeAoLOi5AWY+yuBNxBwPXDMSaS2uy9BxEREREpG8MvIko37G1tcWQIUMsy5cunEddL3Mb6yUHklQ3F60/BZy9Af8TwJ5pWZ6esp5lsaDTAjQp0QTR8dEYvW00vj/4vWoDTkRERET5HwNvIsqXpHdze/sHw09c3rJQPW454w//kKjEO7sWAlp/Yp7f8hkQfCPL0yPVzX98+ke8WONFtTzj2AyM2DQCYTFhWX4uIiIiItIXBt5ElC8VKVIEzz77rGV5w5/zUb2Iixrq9c9DKQTWdV8ASjYAJBBem9DbeRaztbHFyHojManJJDjYOGDL9S14fvXzuBZyLVvOR0RERET6wMCbiApEJ2syDqT7veNqfsn+azCZTIl3trExd7RmsAVOrQDOrc+2dD1T4RnMaT8Hvs6+uBB8AX1W9cHuW1nXsRsRERER6YuuA+/4+Hh8+OGHKFeuHJydnVGhQgWMHz8+0Q9mmR83bhyKFSum9mndujXOnTuX6DgBAQHo378/PDw84OXlpaqghoUlrt559OhRNG3aFE5OTihVqhS++OKLZOlZsmQJqlSpovapWbMmVq9enY2vnogeVbNmzVCtWjXL8tbfv4GTvQ0u3A3HoWtByZ9QtIZ5iDGx+l0gNjLbMqGmb00s7LwQNQvXREhMCF5b/xrmn5qf/IYAEREREeV5ug68J0+ejJ9//hk//vgjTp06pZYlIP7hhx8s+8jy999/j19++QV79uyBq6sr2rVrh6ioB204Jeg+ceIE1q9fj5UrV2Lbtm2JOl4KCQlB27ZtVS/IBw4cwJdffomPP/4Y06dPt+zz33//oW/fvipoP3ToELp166am48fNJWhEpD8ypNdrr71mWb597TKqucekPKa3psUYwL04EHgZ2P51tqbPz8UPs9vPxjPln0G8KR6f7/0cn+z6BLFZ3LM6EREREeUug0nHxSudO3dW7TRnzZplWdejRw9Vsj1v3jxVMlS8eHG88847ePfdd9X24OBg9Zw5c+agT58+KmCXEq99+/ahfv36ap+1a9eiY8eOuH79unq+BPf/+9//cPv2bTg4OKh9xowZg7/++gunT59Wy71790Z4eLgK3DUNGzZEnTp1VNCfHhLge3p6qjRK6bveSFVcf39/+Pn5wUaq3VKuY548Ovm8yec8IiJCLTfsMgC3qvaCu6Md9v6vNZwdbJM/6eTfwOIBgI09MGwXULhStuaJfJfNPTEX3x78VvV0/rjf4/imxTco5FwoS46f3/Fzoj/ME/1hnugP80R/mCf6Y9R5fJKR+E5/qbfSuHFjbNy4EWfPnlXLR44cwY4dO9QYveLSpUsqWJbq5Rp54U8++SR27dqlluVRqpdrQbeQ/SXjpIRc20eqpGpBt5BS8zNnziAwMNCyj/V5tH208xCRPsl3Qr9+/SzLu1f8jiJudgiNjsO/J26n/KSqXYCKbQBjLLBqpETG2V4yP6jGINXruZu9Gw76H1Ttvk8HmG/8EREREVHeZgcdk1JnuYsg7aplXF5p8z1x4kRVdVxI0C2khNuaLGvb5FHukFizs7ODj49Pon2kHXnSY2jbvL291WNa50lJdHS0mjTyWrQ7NzLpjaRJSt70mLaCinmSNV599VXMnDkzYckEr8AzuGNfAYv3X0OX2sVSflKHL2D4uREMl7bBeHQxUPO5bM+Tp4o/hXkd5mHElhG4EnIFL6x+AeOfGo+2Zdpm+bnyE35O9Id5oj/ME/1hnugP80R/jDqPTzKSLl0H3osXL8b8+fOxYMECVK9eHYcPH8Zbb72lqo0OHDgQevfZZ5/hk08Sxga2cvfu3URt0PX0xpFqEvLm1mNVjoKIeZI1SpYsibp166r+GcS+xT/Ao/932HXhPo6cv4ZiHo4pPMsFrnWHwH3f9zCtfR/3vB6HydE92/PEFa74tv63mHRkEvbf349R20bhcPnDGFBxAGwM/FymhJ8T/WGe6A/zRH+YJ/rDPNEfo87jk9DQ0PwReI8aNUqVektbbSE9iV+5ckUFtBJ4Fy1aVK2/c+eO6tVcI8vS9lrIPtIuwFpcXJzq6Vx7vjzKc6xpyw/bR9uekrFjx2LkyJGJSrylx3RfX1/dtvGWKq+SPj2+sQsi5knWeeONN1TniCLw+nnUdI7GlUhHbL0SheGtSqX8pDbvw3RxNWzvn4ff8WkwdfgiR/LED36YVmwaphyagt9O/ob5F+fjZsxNTGwyEa72rtlyzryMnxP9YZ7oD/NEf5gn+sM80R+jzuMTGe0qXwTe0hlS0gssVc61In2pHi6Br7QD1wJtCW6l7bY2fm+jRo0QFBSkeiuvV6+eWrdp0yZ1DGkLru0jnavFxsbC3t5erZMe0B977DFVzVzbR84jJe4a2UfWp8bR0VFNSclr0uMbR8gbW8/pK4iYJ1lDRiWQThi1fhsC9q8Cqj+LZYduYHiryrCxMSR/koMz0Olr4LeuMOyfBUPd/kDR2jmSJw42Dhj1xChU9q6sejrffH0zBqwdgO+f/h6l3FO5UVCA8XOiP8wT/WGe6A/zRH+YJ/pj0HF8kpE06S/1Vp555hnVpnvVqlW4fPkyli9fjm+++Qbdu3e3ZIIEwhMmTMCKFStw7NgxDBgwQFVFl6G+RNWqVdG+fXu88sor2Lt3L3bu3KlKvqQUXfYT0vGSdKwmpWEy7NiiRYswZcqURKXVI0aMUL2hf/3116qncxlubP/+/epYRKR/MhrCoEGDLMsn1s6Hs50B1wIisedSQOpPLN8CqNETMBmBlW8DxnjkpK4Vu6ohxwo7F8b5oPPou6ov9t7am6NpICIiIqJHo+vAW8br7tmzJ4YNG6YCaCmtkk6Sxo8fb9ln9OjRePPNN9W43E888QTCwsJUgGxd7C/txKWDtlatWqlhxJo0aZJojG7p9XjdunWql3QpFZfhycaNG5dorG/pYV3amsvzateujaVLl6rhxmrUqJGDV4SIHoX1mN6muGh4h15U80sOXEv7ie0mAY4ewM1DwIHZOZ4JtX1rY2GnhaheqDqCo4MxZP0QLDy9ULV3IiIiIiL90/U43vkNx/Gm/DZ2YV4kwwJKsxHhXq42fHpNhLO9LfZ90Bpujmm0vtkzHVgzCiZHD9ztvRqFy1bP8TyJiovCR/99hNWXVqvl5yo/h7ENxsLe1txEpqDi50R/mCf6wzzRH+aJ/jBP9Meo89/C+WYcbyKirKb1/yBCLx2Bt20MImPjsfrorbSf+MTLQLE6MESHwH3X5FzJGCc7J3ze9HO8Xe9tGGDAkrNLMHjdYAREpVFVnoiIiIhyHQNvIipQunTpkmgUhNBj69NX3dzGFuj8LUwwwPncP8ClbcgN0rfFSzVewo+tflQ9nB/0P4i+K/viTMCZXEkPERERET0cA28iKlBk5ALpbFFzefMiSH/m+y4H4tK98LSfXOJxoP5Lataw+l0gLhq5pVnJZljQcQFKu5fGzfCbeGHNC1h/xXwTgYiIiIj0hYE3ERU4EnjL0IQiPiwAHhHX1fzSh5V6S6dsT3+IeOdCMNw/B/z3A3JTea/yWNBpARoVa4TIuEiM3DISUw9PhVF6YCciIiIi3WDgTUQFTsmSJdVwhZqLGxeox2UHbiDe+JD+Jp08EdroPfP8ti+BwMvITZ6Onpjaeiqer/q8Wv75yM94Z8s7iIiNyNV0EREREdEDDLyJCAW9k7WwM//BEXG4HRKFHefvPfS5UZW6wFS2KRAXBaweDeTy4BB2NnZ4r8F7+LTxp7C3sceGqxtU1fMbYTdyNV1EREREZMbAm4gK7LBiFSpUMC/ExyHqzHY1u2T/w6ubw2CAqeNXgI09cO5f4PRK6EH3St3xa7tfUcipEM4GnlWdru27vS+3k0VERERU4DHwJqICScaCfO211yzLt3f9pR7XnbyD4IjYhx+gcGXgqeHm+TXvAdFh0IM6fnWwsPNCVPWpisDoQAxZNwQzj81EaExobieNiIiIqMBi4E1EBdaLL74IR0dHNR9z5wIcI+8hJs6IFUfSWUW76buAV2kg5Aaw9XPoRVHXopjbYS46lO2AOFMcphycgjZL22Dy3sm4HmruSI6IiIiIcg4DbyIqsAoVKoRevXpZlm//t1w9LjmQzuDUwQWQKudi11TgzgnohbOdMyY3m4zxT41Hec/yCI8Nx7xT89BpeSfV+/lh/8O5nUQiIiKiAoOBNxEVaIk6WTuxGQaTEUevB+PM7XRWza7cDqjSGTDFAytHAkb9DOVlMBjQrWI3/NX1L/zc+mc0Lt5YDTUm431L52v9V/XH2strEWeMy+2kEhEREeVrDLyJqEBr2LAhateureaNkSGIvXIw/Z2saTpMBuxdgWu7gcPzoTcSgDcp0QTT2kzDn13+RPeK3VXv50fvHcWoraPQ8c+OmHtiLtuBExEREWUTBt5EVKBJUGpd6h1wYLV6/OvwDcTGp7P02rMk0CJhbO/144CIAOhVJe9K+PSpT7Gu5zoMrT0UPk4+uBV+C1/t/wqtl7RmO3AiIiKibMDAm4gKvP79+8Pd3V1dh8iLB2ATE457YTHYfNo//dem4TDArxoQGQBs+Ej317Swc2EMqzNMBeCfNP4EFTwrICIuIlk7cFMuj1FORERElB8w8CaiAs/NzQ0DBgwwXwdjPAIP/5uxTtaErT3Q6Rvz/MHfgKt78sR1dbR1xLOVnsXyrsvxS+tf8FTxpxK3A1/dH2svsR04ERER0aNg4E1ElKSTtfBjG9SjlHjfC4tO//Up0wio87x5ftVIID4uT1W5f6rEU/ilzS+qHbgE4w42Djh27xhGbTO3A59zfA5CYkJyO6lEREREeQ4DbyIiANWrV0fTpk3VtYi9dxVxd84jzmjCX4fSOaa3ps2ngLM3cOc4sOeXPHltpR24VD+XaujDag+ztAP/+sDXaLPEPB74tdAMdD5HREREVMAx8CYiSqHUO1irbr7/esbaObsWAlp/Yp7f8hkQnMHAXUcKORfC0DpDVQD+aeNPUdGroqUdeOflnfH25rdxyP8Q24ETERERPQQDbyKiBM8++yx8fX3VfMSpbUB8LM7cCcWxG8EZu0Z1XwBKNgBiwoC1Y/L89ZV24N0rdVdV0Ke1nqaqpEs78A1XN2DAmgHot6of1lxag1hjbG4nlYiIiEiXGHgTESVwdHTEyy+/rOaN0eEIP/OfpdQ7Y9+sNkDnbwGDLXBqBXBufb64xtIOvHGJxqoTtuVdlqNHpR6qHfjx+8cxetto1Q589vHZbAdORERElAQDbyIiK6+++qoKMEVYQidrfx++gajY+Ixdp6I1gIYJVddXvwvERuar61zRuyI+bvyxuR14HXM78Nvht/HNgW/UeOCf7/0c10LYDpyIiIgoU4H32rVrsWPHDsvyTz/9hDp16qBfv34IDAzkVSWiPK1s2bLo0KGDmo+6cgTxofcQEhWH9SfvZPxgLcYA7sWBwMvA9q+RH6l24LUTtwOPjIvE/FPz1Xjgb21+CwfvHGQ7cCIiIirQMhx4jxo1CiEh5uFkjh07hnfeeQcdO3bEpUuXMHLkyOxIIxFR7nSyZjJaSr0zNKa3xtEdaP+ZeX7nFODeOeRXidqBtzG3AzfBhI1XN2Lg2oHou6ovVl9czXbgREREVCBlOPCWALtatWpqftmyZejcuTMmTZqkSr7XrFmTHWkkIspRUuJdpkwZNR92bKN63H7uLm4FZ6K6eLWuQMXWQHwMsOodICM9pOfVduDFze3A/+r6l6Ud+In7J/De9vfQYVkHtgMnIiKiAifDgbeDgwMiIiLU/IYNG9C2bVs17+PjYykJJyLKy2xtbTFkyBA1Hxd0C1HXjqt4+c+DmRgaTNqLd/wSsHMCLm0Fji9DQVHBq4JqB77+ufV4vc7rqh34nYg7lnbgn+35jO3AiYiIqEDIcODdpEkTVaV8/Pjx2Lt3Lzp16qTWnz17FiVLlsyONBIR5Tjp3dze3l7NW6qb77+WubbKPuWBpu+Y5/99H4jK4PBkeZwE3K/Vfs3SDrySdyXVDnzB6QWqHfiITSNw4M4BtgMnIiKifCvDgfePP/4IOzs7LF26FD///DNKlCih1ks18/bt22dHGomIclyRIkXUuN4i4vQOGGMicfl+BPZfyWQnkk+NAApVBMLuAJsmoCDS2oEve2YZpreZjiYlmqh24JuubcKgtYNUO/BVF1exHTgRERHlOwZTpopvKDOkKr6npyeCg4Ph4eGhu4toNBrh7+8PPz8/2Mg4xJTrmCe5a+vWrWjRooWaL9RxBNxqtsFz9UrinaZFMvc5ubgF+K0rYLABXtkEFK+Lgu5i0EX8fup3/HPhH0THR6t1fi5+6F+1v2of7uno+dBj8HOiP8wT/WGe6A/zRH+YJ/pj1Hl8kpH4zia9B0zvRESUXzRr1szSmWTYUXN181XHbiEyo2N6a8q3AGr0VL2lY+XbgDGTx8lHynuVx0eNPlLV0N+o8wYKORWCf4Q/vj3wLdosbYNJeybhasjV3E4mERER0SNJV+Dt5eUFb2/vNCdtHyKi/NRD92uvvabmo6+fQGzgTUTExGPTuaDMH7TdJMDRA7h5CNj/a9YlNh+0A3+19qsqAB//1HhU9q6s2oH/cfoPdF7eGcM3Dcf+2/vZDpyIiIjyJLv07LR58+bsTwkRkQ4NGDAAY8aMUaM5hB/bCK9mL2DliXt40VwDPePciwBPfwisGQVsHA9U7WJeR4qDrQO6VeyGrhW6Ys/tPfjtxG/YfmM7Nl/brKZqharhhWovoF3ZdrC3MXd+R0RERJQvAu/mzZtnf0qIiHRI2u3069cPM2fORNjxjfBs2h+HboThakAEyhZ2y9xBn3gZODwPuHUEWP8h8Oz0rE52vqht0LBYQzVdDL6IeSfnYcWFFTh5/yTGbh+rqqL3q9IPPSv3hLu9e24nl4iIiChNmW6hLqU/p0+fxtGjRxNNRET5zdChQ9VjfOg9RF0+rOaXHbie+QPa2AKdv5XwEji6CLi0LauSmi+V9yyPcY3GYX3P9Xiz7pso7FxYtQP/7uB35nbgeyfhevgj5AcRERGR3gLvu3fvonPnznB3d0f16tVRt27dRBMRUX7z+OOPo0GDBonG9F564DqMxkcYFKJEPaD+S+b5Ve8AcTFZktb8zNvJG0NqDcG/Pf7FhKcmWNqBLzqzCC/teAkjNo/Avtv72A6ciIiI8n7g/dZbbyEoKAh79uyBs7Mz1q5di7lz56JSpUpYsWJF9qSSiEgnpd6R53bDGBWGWyHR2HXx/qMdtNU4wNUXuHcW+O/7rEloAWkH3rViVyx9Zilmtp2JpiWaqvHAt1zfgpf+fQm9V/ZWw5PFxsfmdlKJiIiIMhd4b9q0Cd988w3q16+vxlIrU6YMnn/+eXzxxRf47LPPMno4IqI8oXfv3mrkBlNcDMJPmauGL9l/7dEO6uwFtJ1ont/2JRB4OQtSWrDagT9Z7En8+PSPmPXULDxX+Tk42TrhVMApvL/jfbRf1h4zj81EcHRwbieViIiICrgMB97h4eFqAHMhP0Kl6rmoWbMmDh48mPUpJCLSAanhM2jQoETVzVcfvYmQqEcsVa3VCyjbFIiLAlaPBkyPUH29ACvtVhofPPmBGo7M0g480h9TDk5R7cAn7J6Ay8G8sUFERER5JPB+7LHHcObMGTVfu3ZtTJs2DTdu3MAvv/yCYsWKZUcaiYh0QRvTO+bWWcTcu4IYI7DyyK1HO6jBAHT6BpChsc79C5xemTWJLaCs24FPbDIRj3k/ZmkH3uWvLnhz45vYe2sv4oxxuZ1UIiIiKkDSNZyYtREjRuDWLfMPzY8++gjt27fH/Pnz4eDggDlz5mRHGomIdKFy5cpo1aoVNm7ciPBjG+DQ8mX8secS+j1Z+tEO7FsZeGo4sP1rYM17QPmWgGMmhyojSzvwLhW64Jnyz6gO1347+Ru2Xt+q2oHL5GDjgPJe5VHJqxIqeldERa+Kar6oa1FVhZ2IiIgoVwNvac+tqVevHq5cuaKGFStdujQKFy6cpYkjItKbV199VQXeYSc2w6v5IBy7GYbz/qGo6PeIY0k3fRc4tgQIugps/RxoOyGrklygSRDdoFgDNV0KvoT5p+arjtci4iJwOuC0mqy52bupIFyCcQnEK3lXUstSkk5ERESUY4F3Ui4uLmqoHSKigqBLly4oUqQI7ty5g8gL++FS6Uks2X8dYztWfbQDO7gAHb4E/ugN7JoK1O4HFKmWVckmAOU8y+GDhh/g/Sffx43QGzgXdA7ng87jfOB5NS9twMNiw3D47mE1WSvkVMgShMujBOUVvCrAxd6F15aIiIiyPvB+6aWEcWdT8euvv2b0kEREeYa9vT369++vRneQTtYk8F64+yJGtXsMdrYZ7jYjscfaA1U6m9t5rxoJDFoN2DziMSkZG4MNSnmUUtPTpZ+2rJfhxy6HXMa5QHNArgLzwPO4HnYd96Pu4/6t+9h9a3eiY5VwK5GoZFxKyst5lIO9rT2vPBEREWU+8A4MDEy0HBsbi+PHj6uxvZ9++sEPGCKi/EoC7ylTpiDywj7ERwQjGJ7Ydu4unq5S5NEP3v5z4MIm4Oou4MgCoO6D5j2UvSRYVqXZ3pUSrY+IjcCFoAsqGD8beNZcSh50Hvci7+FG2A01SbtxjZ3BDmU9y5oDcasS8hLuJVTQT0RERAVPhgPv5cuXJ1tnNBoxdOhQVKhQIavSRUSkW8WLF0fnzp3x999/I/zEZng80Q2/7zifNYG3VymgxRhg/Thg3YfAYx0BF5+sSDZlklQnr+lbU03WAqMCzSXjCSXk2rxUV9eWrTnbOaO8Z/kHVdYTOnbzdfZlh25ERET53CO38RY2NjYYOXIkWrRogdGjR2fFIYmIdD+0mATeUt1cAu+t5wMQEB4DH1eHRz94w2HAkYWA/0lgw0dAlx+yIsmUxaTDtSeKPqEmjclkwp2IOyoA16qqSwAuJeYyrNmJ+yfUZM3T0dNSOl7Zu7J6lPbjsp6IiIjyhywJvMWFCxcQF8dxUYmoYGjdurWq5SPffdG3z8OxaEUsP3gNLzfNgpo/0j5Yxvae3R44+BtQ53mg9JNZkWzKgV7UZUgymZqWbGpZL+OGXwu9lqgzNwnOr4ZeRXB0MA7cOaAma34ufpZq6lqVdSkxd7JzYj4SERHl98BbSratyd19Gdd71apVGDhwYFamjYhIt6Smj5R6jxo1So3pLYH3r1tOZU3gLco0Mgfch+eZO1obshWwzbJ7pZTD7GzsVK/qMrUp08ayPjo+Wg1zlrSE/Fb4LfhH+Ktp542diTuGcy9lCcS1KuulPUqrcxAREZE+Zfiv9KFDh5L9+PT19cXXX3/90B7PiYjykxdffBEffPABwk9uhXfLl3Ej3B4nbgajevEsqiLc5lPgzCrgznFgzy9A4zey5rikG462jqjiU0VN1kJjQlX1dC0Y10rIg6KDcCXkipo2Xt1o2d/exl6Vhkubcesq68Vci7H9OBERUV4MvDdv3pw9KSEiymMKFSqE3r1747fffkPE+T1wrdIEszadwDfPN86aE7gWAlp/AvwzHNjyGVC9O+BZImuOTbrm7uCOOn511GRdw0yGNbPuzE0LyqX9+JnAM2qy5mrvqtqLWw95Jo8+Tuywj4iIKCexXhoR0SOQER0k8JZO1iTwXnnMH5/HGeFgl0XDRtV9ATg0D7i+F1g7Buj9O/OrALcfL+xcWE2NijeyrDeajLgZdtPSq7oqJQ86r6qwh8eG4+jdo2qyJoG31qu69ihBuQTqRERElEuBd926ddNdVe3gwYOPmiYiojzjySefRJ06dXD4yEHEhd4H3Ath7bHr6FK3dNacwMYG6PwNMK05cGoFcG49UOlBG2Eiafdd0r2kmlqUamG5ILHGWFwJvmIOyBOqqsv89dDrCIgKwJ7be9RkrYRbCUsP61pQLu3SHWyzoLd+IiKiAixdgXe3bt0s81FRUZg6dSqqVauGRo3Md9x3796NEydOYNiwYdmXUiIiHZKbklLq/eqrryL8xCZ4NnwOP60+mHWBtyhaE3jyNWD3T8Dqd4FhuwF756w7PuVL0u5blWR7V0R7tLesj4iNUKXhZwPPJhp//G7kXdwIu6Gmrde3Wva3NdiijEeZZOOPl3QrCVsb21x6dURERPkw8P7oo48s84MHD8bw4cMxfvz4ZPtcu3Yt61NIRKRz/fr1w7vvvquqm0vgfSbEFv4hUfDzyMJhn1qOBU4sBwIvA9u/AZ7+X9YdmwoUF3sXVC9cXU3WgqKCEgXi2mNobCguBl9U07/417K/g40DvBy94Obgptqky6OHvYd6dLN3gyHGgGKBxeDu6K62q8k+YT8HDzjbObPjNyIiKjAy3MZ7yZIl2L9/f7L1zz//POrXr49ff/01q9JGRJQnuLm5YcCAAfjpp58QdeMUnEpUxdTVB/Bxn6ey7iSO7kD7z4AlA4Gd3wG1egOFK2bd8anA83LyQv2i9dVk3aGbDGmWtHd1CcJlKDT/SH81ZYaUpGtBugTiKoC3Csy1ZS1o1wJ8bZ0sS6k+ERFRvgy8nZ2dsXPnTlSqVCnRelnn5JSFpTtERHmIVDeXwFvG9JbAe8mB6/iotylrS/SqdQUqtgbObzCP7T3gb6nrnnXHJ0pC3r9FXIuoqUmJJpb18cZ4NdZ4SEyIGvosLCZMzYfFhqnl0OhQ+If4I8427sE62S9hPt4Ur6bg6GA13cCNTF17KTWXwD21wFwF8AnbLQG81bKLnQtL3YmISJ+B91tvvaV+YEonag0aNFDr9uzZo0q6P/zww+xIIxGR7lWvXh1NmzbFjj3b4N3qFYTbu2HnmZtoUiULh/+SILvjl8DURsClrcDxZUDNnll3fKJ0krbd0plbaoxGI/z9/eHn5wcb6SDQipSiy/Bn1oG4dWCuAviYhPWx5qA+6baIuAh1LDmOTNI+PbOl7tKTe2qBubZsKYFPEtjLvL0tS92JiCgbAu8xY8agfPnymDJlCubNm6fWVa1aFbNnz0avXr0yejgionxDbkpu394PEWf+g1uNp/HV0h1o8kHvrD2JT3mg6TvA5onAv++bezh38szacxBlcym6tDOXqQiKZOoYccY4NVRa0iBdK31Pz3KcKU6VussxZMosJ1unVEvc01MCz1J3IqKCIVPjeEuAzSCbiCixZ599Fr6+vgg9tkEF3ocD7RARHQcXx0x91abuqRHA0UXA/fPApgnmUnCiAsTOxg6ejp5qygwpdY+Kj0q5mnySavGpLWul7nKcqMioTJe6y3Bw1sG4Ni8BvbxOmaQtu/VjavPWj0m3y3nCgsJw3+6+Gh4utedr81naTIaIiDIXeBMRUXKOjo54+eWX8fnnkxEXdBt2XkXx49/bMbpXy6y9XHaOQMevgN+7AftmAnX6AcXrMkuI0kmCSmkfLpOfi98jlbqnVU3+YSXwcgyjyfjIpe7Zwc5gl+nAP703AzJy/PQ8X5uXJgS8cUBEeTLw9vHxwdmzZ1G4cGF4e3un+WUWEBCQlekjIspTZDzvyZMnI+z4Jng16YcF/13M+sBbVGgJ1Ohhbue9ciQweAPAMZWJ8lype0qBuQThMfExKjCPNcam+ShV5mPjU1+nzcu26NhoGA1GVcVebTc9eE5Ssi0uPg6IR56UVom+FphLLQCZDLCal/Wwmpf1sAEMSHF9SsdJa7t2fHmUf1Jbwu2Km+oLIa3za/OWY6Rx/tSOk2h7Oo7zsNeh/RPacsKiZZsWM1jvZ709vc9Ntl17jtWyJtn2FNKQ2nPlcyk31ORzKHliva/1c9NMW9LtrD1CGQm8v/32W7i7u1vm+QYiIkpZ2bJl0aFDB6zbuVEF3oGOfjh24QZqVsjCTtY07SYB59YDNw8CB2YDTwxmthDlwVJ3XxffbD/fwzq8swTrEnAb05jXAn+rwN0S8KewPdENgXTcSEhr39Tm5UZCUlq6iPQkpZsRSecTVqS6LemNgFT3SyPgT+0Yj5SutNKSxvmspXbM+j71MfnpySgQgffAgQMt84MGDcrO9BAR5YtO1lavfgZRV47AqUxtjJ+3Dos/ejHrT+ReFHj6A2DNaGDDp0DVLoBb5qrNElHBJT9u7Q3m0uC8SKrrWwfjDwvmZTg8E0zqeXLTwSj/tHmTWkp53mS0nE/tn3CM1I6TaHuSedlH0hEWHgZnF2fLupTOmdJxZPvDzp/a69D2TZrO9Lx+63NqtLTIP+vlhEXLNlmvLWv7WW/P9HO152jb1X8pb89t1q/lITuSlfC4cBTINt6tW7fG888/rzoR8vDwyJ5UERHlYVLiXaZMGdyTMb3L1MbeuzaIi4uHnZ1t1p9MSrkPzwduHQHWfQA8Oz3rz0FEpGNS/Vk6jJMpL0mrFgJln7SCdmO8EXfu3oGfrx8MNobE21MI/pPeNHjoDYUkabA+Xnq2pXe/1M6VbN8kh0/0vAykK93HNJkyfD7VLCckCgUy8JaxaseOHYthw4ahU6dOKgjv2LEj7O3z5l1SIqKsZmtriyFDhuCDjz6Fsc1Q2LgVxtSl6zC8T4esv9jSrrvzt8CMVuaezus+D5RrlvXnISIiygcSVfVOUutZSvgdbMw3cXgzREc3qGL9kR9k+PaajN9948YN/PXXX3B1dcWAAQNQpEgR9SNz69at2ZNKIqI8Rno3tzMYEX56u1qes+1M9p2sRD2g/kvm+VXvAHEx2XcuIiIiIsqwTNVrkTtAbdu2xZw5c3Dnzh1MmzYNe/fuxdNPP52ZwxER5TtyQ7J79+4IP7ZeLd9zLoXrt+9l3wlbjQNcfYF7Z4H/vs++8xARERFRhj1Sg5Lbt2/jl19+UUPnHD16FE888cSjHI6IKF+RGkHRN04j9v412Ng74bP5/2bfyZy9gLYTzfPbvgQCL2ffuYiIiIgoewPvkJAQzJ49G23atEGpUqXw888/o0uXLjh37hx2796NrCbV2qUdeaFCheDs7IyaNWti//79lu3S4H7cuHEoVqyY2i6dv0lako4t3r9/f9UZnJeXl6oCGhYWlmgfuXHQtGlTODk5qdf1xRdfJEvLkiVLUKVKFbWPpGP16tVZ/nqJKP+QmkGFCxdG2LGNannDhcTfO1muVi+gbFMgLgpYPVq+ILP3fERERESUPYG3VJ/83//+hxo1amDXrl04c+aMCnwrVKiArBYYGIinnnpKddy2Zs0anDx5El9//TW8vb0t+0iA/P3336uS9z179qh25+3atUNU1IPe7yToPnHiBNavX4+VK1di27Ztqk269c0E+YEsvRAfOHAAX375JT7++GNMn/6gd+D//vsPffv2VUH7oUOH0K1bNzUdP348y183EeUP8t3Vp08fhJ/YBJMxHtEeJbHjyNnsO6F0GNPpa0CGBDr3L3B6Vfadi4iIiIjSzWBK12ByD0jw2qpVqxzp6W/MmDHYuXMntm83d06UlCS9ePHieOedd/Duu++qdcHBwermgLQ/lx+8p06dQrVq1bBv3z7Ur19f7bN27VrVE/v169fV86XUXm4mSNV5BwcHy7mlA7nTp0+r5d69eyM8PFwF7pqGDRuiTp06KuhPDwnwPT09VRr1OBQbh7XQH+ZJ3s8TuSEo3xV+PT+Gc4X6qOt4B8s/SegILbts+ATY8Q3gURJ4fQ/g6Ib8jJ8T/WGe6A/zRH+YJ/rDPNEfo86H3ctIfJfh1EsV85x60StWrFDB8nPPPacudt26dTFjxgzL9kuXLqlgWaqXa+SFP/nkk6o0XsijVC/Xgm4h+8trkB/E2j7NmjWzBN1CSs2lNF9K3bV9rM+j7aOdh4goJQ0aNEDFihURltDJ2uEgR8TFG7P3YjUbBXiVBkKuA1snM2OIiIiI8sI43o8//jg2btyoqnhL8KuNf5eSgwcPZlniLl68qEqjR44ciffff1+VWg8fPlwFyAMHDlRBt5ASbmuyrG2TRwnardnZ2cHHxyfRPuXKlUt2DG2bvG55TOs8KYmOjlaT9R0R7c6NTHojaZJaBHpMW0HFPMkfeSLNXT6ZMBHxkSGwdfbCnLW78VKHhtmXSDsnoP1k2CzsC9PuqTDV6g34VUN+xc+J/jBP9Id5oj/ME/1hnuiPUefxSUbSla7Au2vXrnB0dFTz0q45J1+IlFRPmjRJLUvQL22qpWq3BN5699lnn+GTTz5Jtv7u3buJ2qDrhVxvqSYhb249VuUoiJgn+SNPpHaMfBeEn9wKj3rPYObG4+hcr3z2JtTrcXiVbQ2nyxsQ+9dwBHSdBxjy5+eanxP9YZ7oD/NEf5gn+sM80R+jzuOT0NDQrA28P/rooxTns5v0VC7ts61VrVoVy5YtU/NFixZVjzKWuOyrkWVpe63tI+0CrMXFxamezrXny6M8x5q2/LB9tO0pGTt2rCqtty7xlh7TfX19ddvGW2ozSPr0+MYuiJgn+SNPpNaNtPM+eGyDCrxv2frBzsUDPm5O2ZvYrt/ANLUhHG4fgN+tjUCd/siP+DnRH+aJ/jBP9Id5oj/ME/0x6jw+kdGusjTwzi3So7m0s7Z29uxZ1fu4kOrhEvhKNXgt0JbgVtpuDx06VC03atQIQUFBqrfyevXqqXWbNm1SmShtwbV9pHO12NhY1Qux1oncY489ZulBXfaR87z11luWtMg+sj41UktAqylgTd40enzjCHlj6zl9BRHzJH/kiQyLuPuNNxDjfwkOfuXwzbJtmPRi+2xNJ7zLAC3GAOvHwWb9OKBKJ8DFB/kRPyf6wzzRH+aJ/jBP9Id5oj8GHccnGUlTuvaU4FPaRKdnykpvv/22GhtcqpqfP38eCxYsUEN8vf7665ZMkEB4woQJqiO2Y8eOYcCAAaqncq1KvJSQt2/fHq+88gr27t2rekl/4403VI/nsp/o16+fajcuQ4XJsGOLFi3ClClTEpVWjxgxQvWGLsOZSU/nMtyYjCcuxyIiephevXqp/iW0Ttb+OXY3Zy5aw2Hm9t2RAcCGnKuxREREREQZLPH+7rvvLPP3799Xga60WdRKe6Vn73///RcffvghstITTzyB5cuXqyrbn376qSrhlrRIR0Wa0aNHq2G+ZFxuKdlu0qSJCpCti/3nz5+vAmRtGLQePXqosb+te0Jft26dCuilVLxw4cJqbHLrsb4bN26sAv8PPvhAdfRWqVIlNdyYjGdORPQwUkVKbgKu3rgF3i1eQqiDDw5fuoM65RJ32pjlbO2BTt8As9sDB38D6jwPlDbX9iEiIiIinY7jLUFry5Ytk5X0/vjjj9iwYYMKRillHMeb8tvYhQXRo+SJ1KaR2ja+3d6Hy2ON0cQ3GvPeeRY54q9hwOH5QJEawJCtgK2uWxplCD8n+sM80R/mif4wT/SHeaI/xoI8jreUbEupTVKyTgJvIiJK2TPPPAN3d3eEHTd/V+66GY/Y7B7TW9PmU8DJC7hzHNg7jVlERERElIMyHHgXKlQIf//9d7L1sk62ERFRylxcXFStociLBxAfHoh4exf8tedczlwu18JAm4ThDTdPAoJvMJuIiIiIckiG6xrKWLSDBw/Gli1bLL2CSy/i0q56xowZ2ZFGIqJ8Q3o3nzNnDsJObIZng2fxy7ojeK7xYzlz8roDgEPzget7gX/HAr1+y5nzEhERERVwGS7xHjRokOoZXOqw//nnn2qS+R07dqhtRESUuhYtWqgRFcKPmaubX4hwwr2w6Jy5ZNI2qvM3gMEWOPk3cI7Ng4iIiIhyQqZaqEtJt/QUfvDgQTXJvFb6TUREqbO1tVVDGMbeu4rom2cBG1tMX3c45y5Z0ZrAk6+Z51e/A8RG5ty5iYiIiAoom8z2Lnf27FlVyr1t27ZEExERPby6udDG9F687yoyOMDEo2k5FnAvDgReBrZ/k3PnJSIiIiqgMtzGe/fu3aq05sqVK8l+KBoMBsTHx2dl+oiI8p1atWqhevXqOHVqG3xavYIgOxccvR6E2qW8cyYBju5A+8+AJQOBnd8BtXoDhSvmzLmJiIiICqAMl3i/9tprqF+/Po4fP46AgAAEBgZaJlkmIqK0yU1KKfU2Rocj4uwute6n1Qdy9rJV6wpUbA3ExwCrRgI5WeJOREREVMBkOPA+d+4cJk2ahKpVq8LLy0sNGG49ERHRw0nNIRGW0Mna5othiIrNwRpDBgPQ4QvA1hG4tBU4viznzk1ERERUwGQ48JZO1M6fP589qSEiKiBKly6N5s2bI+rKEcSF3EWswR5rj93M2UQUqgA0fcc8/+/7QFRwzp6fiIiIqIDIcOD95ptv4p133lHj0B44cABHjx5NNBERUQY6WTMZEX58o1qetu5Izl+6Jm8BPhWAsDvApok5f34iIiKiAiDDnav16NFDPb700kuJ2itKR2vsXI2IKP169uyJ119/HWHHNsKzcR+cCgRuBUeimKdzzl1GO0eg09fA792AfTOAOv2A4nVy7vxEREREBUCGS7wvXbqUbLp48aLlkYiI0kf6yXjmmWcQF3QLUdeOq3bXC/67kPOXr0JLoEYPVfqOv98Awu7mfBqIiIiI8rEMB95lypRJcyIiosyM6W3uZG3+fxdydkxvTbtJgJMXcOcYMK0ZcG1fzqeBiIiIqKBXNV+xYkW69uvSpcujpIeIqEDp0KEDvL29EXR6B4ytX0UAnLH/SiCeKOuTswlxLwq8vA5Y2B+4fw6Y3QHo8DlQ/2VzD+hERERElP2Bd7du3R66D9t4ExFljKOjI3r16oVp06Yh4swOuNVsg7nbzuCJso1y/lL6Pga8sgn4+3Xg1Apg1TvA9f1Ap28AB5ecTw8RERFRQatqbjQaHzrFx+fgGLRERPmtuvlRc3Xzf0/dRURMXO4kxskD6PUb0GY8YLABjvwBzGoLBLAPDyIiIqIca+NNRERZq3Hjxihbtiyir59AbOBNxJpssfrY7dy7zFK1/KnhwIC/AZfC5nbf01sAZ//NvTQRERER5WEMvImIcpmNjQ369++v5sOPmcf0nrP1dC6nCkC5ZsCr24CSTwBRwcCCXsDmSYCRtZuIiIiIMoKBNxGRDmiBd9jxjTAZ43HcPxonb4bkdrIAzxLAoNXAE6+Yl7dONgfgEQG5nTIiIiKiPIOBNxGRDlStWhX16tVDfOg9RJzZqdb9vOU8dMHOAej0FdB9GmDnDJzfAExvDtw6ktspIyIiIsoTGHgTEemsk7Xg3UvV48qjt3Dlfjh0o3YfYPB6wLssEHTV3OnaoXm5nSoiIiKi/Bl4BwUFYebMmRg7diwCAszVDQ8ePIgbN25kdfqIiAqMPn36qPbesf4XEXlxP0wApm/TWW/iRWsCQ7YAldoBcVHmocf+GQHERed2yoiIiIjyT+B99OhRVK5cGZMnT8ZXX32lgnDx559/qkCciIgyp2jRomjTpk2iUu8l+6/DPzRKX5fU2RvouxBo+YF0gQ4cmAP82h4IupbbKSMiIiLKH4H3yJEjMWjQIJw7dw5OTk6W9R07dsS2bduyOn1ERAWyunn0teOIunEKMfFG/LrjMnTHxgZoPgrovxRw8gJuHjS3+764JbdTRkRERJT3A+99+/bh1VdfTba+RIkSuH07F8edJSLKB7p16wYXFxc1H7J7iXqcv/sKQqJioUuVWgOvbgWK1QYi7gO/dwe2fwOYpKI8EREREWUq8HZ0dERISPIhbs6ePQtfX19eVSKiR+Dm5obu3bur+cjz+xB77ypCo+Pw+64r+r2u0tnaS/8CdZ4HTEZg4yfAoufNY38TERERUcYD7y5duuDTTz9FbKy59MVgMODq1at477330KNHD15SIqIsGtMbMCE4odR79s5LiIqN1++1tXcGuv4IPDMFsHUATq8EprcE7pzM7ZQRERER5b3A++uvv0ZYWBj8/PwQGRmJ5s2bo2LFinB3d8fEiROzJ5VERAWIdLCm1SAKP7UNtlHBuBcWgyX7dd55mcEA1BsEvLQW8CgJBFwAZrYCjpk7iiMiIiIqqDIceHt6emL9+vX4559/8P333+ONN97A6tWrsXXrVri6umZPKomIChA7Ozv07dvXvGCMx93tf6jZadsuIi7eCN0rUQ94dRtQvgUQGwEsexlYMwaI12k7dSIiIiI9juMtmjRpgmHDhmH06NFo3bp11qaKiKiA03o3F2FH18PJEIvrgZFYefQW8gTXQsDzfwJN3zEv7/kZmPsMEMpOOImIiKjgsUvPTlKynV7Dhw9/lPQQERGA+vXro3LlyqrjSlNcNOJObgCqdsDPWy6ga53iqn8N3bOxBVqNM5eAL38NuLoLmNYMeG4OUKZxbqeOiIiISF+B97fffpuug8kPQQbeRESPTr5PpdR73LhxavnSv3NQqWZHnLkTis1n/PF0lSJ55zJX6QQM2WLu6dz/JDCnM9B2AtBwqLldOBEREVE+l67A+9KlS9mfEiIiSta7uRZ4G6PDUSrqEs7ZlcXUzRfyVuAtClUABm8AVgwHji8F/h0LXN8HdPkBcHTL7dQRERER6bONtzCZTGoiIqKsV758eTRu/KBK9rFlP8De1oD9VwKx73JA3rvkDq5Aj5lA+8mAjR1w4k9gZmvg3vncThkRERGR/gLvWbNmoUaNGnByclKTzM+cOTPrU0dEVMBZd7J25/IZPOlnnp+6OY8Gq1K1vOFrwKBVgFtR4O4pYHoL4NQ/uZ0yIiIiIv0E3lLtccSIEXjmmWewZMkSNcn822+/bakSSUREWaNXr15qeDFN1KF/YGMANp+5i1O3QvLuZS7d0DzkWOnGQEyouf33+o+A+LjcThkRERFR7gfeP//8M2bMmIHPPvsMXbp0UZPMT58+HVOnTs36FBIRFWCFChVCx44dLctrlvyGNlV91bz0cJ6nuRcBBq4AGr5uXt75HTCvOxB+L7dTRkRERJS7gXdsbKwa5iapevXqIS6OJRVERNlZ3TwiIgIVYy6q+ZVHb+Lq/Yi8fcFt7YH2k4CevwL2rsClbeYhx64fyO2UEREREeVe4P3CCy+oUu+kpMRbeuAlIqKs1blzZ3h4eFiWNy2bi2aVfWE0AdO35/FSb02NHsArG4FCFYGQG8Ds9sD+X6UXz9xOGREREVHOBN4jR460TDK2rHSkJh2qDR48WE01a9ZU1c9tbB6pk3QiIkqBs7MzevbsaVlet24d+tTyVvOL91+Hf2hU/rhuflWBVzYDVToD8THAyreBv18HYiNzO2VEREREjyRdkfKhQ4cs07Fjx1S1cl9fX1y4cEFNhQsXxuOPP44TJ048WmqIiOih1c2NRiPO7liNuqW9EBNnxOydl/PPVXPyAHrPA1p/AhhsgMPzgVltgIBLuZ0yIiIiokx70FVuGjZv3pz5MxAR0SNr3rw5SpYsievXr6vl+fPnYeKc3hjy+wHM23UFQ1tUgIeTff640jLkWJO3gOJ1gaUvAbePmYcckzHAK7XJ7dQRERERZRjrhhMR5QHSlKdfv36W5f3796OkTSAq+bkhNDoO83ZfydX0ZYvyzYFXtwIl6gFRQcD854Atn0uRf26njIiIiCjrS7yfffZZzJkzR3XuI/Np+fPPPzOWAiIiSnd18y+++MKy/MeCBXit26t4Z8kR/LrjMl56qhyc7G3z19X0LAm8uAZYOxbYPwvY8hlw4wDQfRrg4pPbqSMiIiLKuhJvT09P1amakOBbllObiIgoe0hHlrVq1bIsz5s3D8/ULoYSXs64FxaNJQfM1dDzHTtHoPM3QLefATsn4Nw6c9XzW0dyO2VEREREWVfiPXv2bMu8lHwTEVHulXqPHj1azV++fBn79uzGK03L4eN/TmL6tgvo+0Qp2Nnm01ZEdfoBRWoAi54Hgq4As9oCnb8FavXJ7ZQRERERpSnDv86efvppBAUFJVsfEhKithERUfbp27evpQaSVurd+4nS8HF1wLWASKw6dit/X/5itcztviu1BeKigL+GwrBqpHn4MSIiIqL8Enhv2bIFMTHJf+BERUVh+/btWZUuIiJKgfRs3qJFC8vy4sWLYYt4vNi4rFr+ecsFmEym/H3tnL2BvouAFmOlC3QYDsyGz9/9geB8WtWeiIiICk7gffToUTWJkydPWpZlkvG9Z82ahRIlSmRnWomIKMmY3gEBAVi7di0GNCoLVwdbnL4dis1n/PP/dbKxAVqMAfovgcnJCw7+R2GY0QK4uDW3U0ZERESU+cC7Tp06qFu3rqriKFXKZVmb6tWrhwkTJmDcuHHpPRwREWVSjx494OjomKi6uaeLPfo3LGMp9S4wKrWB6ZUtiC1cDYaI+8Dv3YAd3wH5vdSfiIiI8mfgfenSJVy4YK7CuHfvXrWsTTdu3FBtvF966aXsTS0REakRJLp06WK5EitWrEBwcDBeblIODrY22Hc5EPsuBxScK+VdBve7/QFT7X6AyQhs+MjcAVtUSG6njIiIiChjgXeZMmVQtmxZGI1G1K9fXy1rU7FixWBrm8/GjiUiyiPVzaOjo7Fs2TIU8XBCj3olCl6pt7BzgqnLj+Zezm0dgNMrgRktAf9TuZ0yIiIioox3ribOnDmDN954A61atVKTzJ8+fZqXk4goh7Rv3x4+Pj6JqpuLIc0qQDo933TaH6duFbASX3nh9V8CXlwLeJQA7p8HZrQCji/L7ZQRERFRAZfhwFtKVWrUqIEDBw6gdu3aajp48CBq1qypthERUfZzcHBA7969E404ce3aNZQr7IqONYqpdb9sLWCl3pqS9YBXtwHlmgGx4cDSl4C17wPxsbmdMiIiIiqgMhx4jx49GmPHjsWuXbvwzTffqOm///7D+++/r7YREVHOVzeX/jf++OMPNT+0RQX1+M+Rm7h6P6JgZodrYeD55UCTt83Lu38C5nYBQu/kdsqIiIioAMpw4H3r1i0MGDAgxR+Aso2IiHJGo0aNUK5cuWTVzWuU8ETTSoVhNAHTtxfQUm9hawe0/hjoPQ9wcAeu/gdMawZc2ZXbKSMiIqICJsOBd4sWLbB9+/Zk63fs2IGmTZtmVbqIiOghZHhH61LvY8eO4ejRo2p+WIuK6nHx/uu4GxpdsK9l1WeAIVsA36pA2G1gbmdg9y8ccoyIiIj0G3jLEDbvvfee6lBNSldkkvkxY8age/fualgbbSIiouzVv3//RMtaqXfD8j6oU8oLMXFGzN55idlQuCIweANQ/VnAGAesfQ9YNhiICee1ISIiomxnMEnDwAywsbFJd0lMfHx8ZtOVL8lY5zL+roy36+HhAb2RoeL8/f3h5+eX7nym7MU80R895kmDBg2wb98+NV+iRAlcuXJFDfG47sRtDPn9ANwd7bBz7NPwcLIHCnqeyJ+8Pb8A6z4wB+B+1cxV0QuZ28VTLuQJ5Qjmif4wT/SHeaI/es+TjMR3Npl58emZGHQTEeUM6+rmN27cwNatW9V866pFUNHPDaHRcZi/+yqzQxtyrOFQYOA/gFsRwP8kML0FcHoVrw8RERFlm0e6bRAVFZV1KSEiokyRYcWkhDtpdXMbGwNea24uyZ214xKiYlkLyaJMY/OQY6UbAdEhwMJ+wIZPACOvEREREekg8JaS7PHjx6vqjG5ubrh48aJa/+GHH2LWrFnZkEQiIkpLkSJF0LZtW8vy0qVLERkZqea71imO4p5OuBcWjaUHrvNCWnMvai75bjjMvLzjG2Des0D4PV4nIiIiyt3Ae+LEiZgzZw6++OILODg4WNbXqFEDM2fOzNrUERFRhqubh4aG4p9//lHz9rY2eKVZeTU/bdsFxMUbeUWt2doD7T8DeswC7F2Ai1uAac2B6wd4nYiIiCj3Au/ffvsN06dPVz3pWldtrF27Nk6fPp11KSMionTr2rUrXF1dk1U3F32eKA0fVwdcC4jEqmO3eFVTUrMnMHgj4FMBCLkOzG4P7J/NIceIiIgodwJv6binYkXz+LDWpEO12NjYrEkVERFliATdzz77rGV5zZo1uHfPXGXa2cEWgxqXVfM/b7mADA5mUXAUqQYM2QxU6QzExwAr3wKm1Ab+eQs4uQKIDMrtFBIREVFBCbyrVauG7du3J1svbQrr1q2bVekiIqJHqG4eFxeHxYsXW5YHNCoDVwdbnL4dii1n7vLapsbJE+j1O9DqI8DWEQi6AhyYDSx+AfiiHDCzNbB5EnB1NxDPm81ERESUPnbIoHHjxmHgwIGq5FtKuf/880+cOXNGVUFfuXJlRg9HRERZ5Omnn0bRokVx+/ZtS3XzYcPMHYd5uTig35OlMWP7JVXq3bKKH697amSc0KYjgQZDgCs7gQubgQubgHtngOv7zNPWyYCjB1C2KVChJVDhacCnvHm4MiIiIqJHLfGWdoTSac+GDRtU1UYJxE+dOqXWtWnTBtnp888/h8FgwFtvvZVoSLPXX38dhQoVUr2s9+jRA3fu3En0vKtXr6JTp05wcXFRg6+PGjVKlQZZ27JlCx5//HE4OjqqqvTSgVxSP/30E8qWLQsnJyc8+eST2Lt3bza+WiKijLGzs0Pfvn0ty7t27cKFCxcsyy83KQ97WwP2Xg7A/ssBvLwP4+gGVG4HdPgceGMv8PYJoMuPQPVnAWcf8zBkZ1YBq98Ffnjcqlr630BkIK8vERERPdo43k2bNsX69evh7++PiIgI7NixI9FQNtlh3759mDZtGmrVqpVo/dtvv62C/iVLlmDr1q24efNmonaOMvyZBN0xMTH477//MHfuXBVUyw0DzaVLl9Q+LVu2xOHDh1VgP3jwYPz777+WfRYtWoSRI0fio48+wsGDB1Vncu3atVPXgIhIL6TjS2vz58+3zBf1dEKPx0uqeSn1pgzyLAk8/gLw3Gxg1AVgyBag1ThzqbeNvVW19AHAF+VZLZ2IiIgsDKYM9rIjAbBUMZcSX2t79uxRvZzXr18fWS0sLEyVRk+dOhUTJkxAnTp18N133yE4OBi+vr5YsGABevbsqfaVntWrVq2qSnoaNmyoOhjq3LmzCshlrFvxyy+/4L333sPdu3fVkGgyv2rVKhw/ftxyzj59+iAoKAhr165Vy/J6n3jiCfz4449qWa5BqVKl8Oabb2LMmDHpeh0hISHw9PRU6fbw8IDeyGuSGwlSK8BGqlpSrmOe6I/e80S+0qUvDm2UicqVK6t5qS0kLt4NQ6tvtkK++de+1RRViurvuyhP5kl0WPJq6dYc3IFyzQpMtXRd5AklwjzRH+aJ/jBP9Meo878nGYnvMtzGW6p1jx49OlngLW2+J0+erALwrCbnlBLp1q1bq8Bbc+DAAdWTuqzXVKlSBaVLl7YE3vJYs2ZNS9AtpKR66NChOHHihOoQTvaxPoa2j1alXUrL5Vxjx461bJeMl+fIc1MTHR2tJuuM0d5AMumNpEl+tOsxbQUV80R/8kKeSKn3hx9+qObPnj2rmsXIjUNRtpALOlQvitXHb6tS72971UZep4s8kTHAK7YxTyL4uhoT3HBxE3BxKwyRAeZq6TLJDRKv0kD5ljBJEF62GeDshfxEF3lCiTBP9Id5oj/ME/0x6vzvSUbSleHA++TJk6r0OSkJYGVbVlu4cKGq2i0l7UlJB0JSYu3llfgHiwTZWudC8mgddGvbtW1p7SOBcmRkJAIDA1WV9ZT2SWvs8s8++wyffPJJsvVS0i5t0/X4xpG7NfLm1uMdpYKIeaI/eSFPpOmPFniLGTNmoEyZMpblXjW9VOC98shNDKzrg+KejsjL9JknDkCJtuapiRF2907C8dpOOFzfAYfbh2AIugocnAvDwbkwGWwQ61cLMSUbI7rkU4j1qw3Y2iMv02eeFGzME/1hnugP80R/jDr/exIaGpp9gbd0Piadl5UvXz7R+lu3bqmOfbLStWvXMGLECNWeXDo0y2ukhFzahWskkJfq6VI9Xq9VzaU6qqRPj2/sgoh5oj95IU+kOlaTJk1U/xtixYoVqnNIe3tzMOfnBzTZdxc7zt/HnydD8GnX6sjL8kKeoEhRoPrTatYUEwbT5Z0wXNqiqqYb7p2Bw53DanI7MBUmVS29KUzlW6pS8bxYLT1P5EkBwzzRH+aJ/jBP9Meo878nGYlR7TJTkiIB5d9//63qswtpC/3+++9nea/mUr1b6vRbl7BLyfO2bdtUW2vp/Eyqgcv5rUu95caADKkj5DFp7+Nar+fW+yTtCV2WJTh2dnZWbddlSmkf7Rip3aSQKSl50+jxjSPkja3n9BVEzBP9yQt5ImN6a4G31LLZtGkTOnToYNk+rGVFFXgvOXAdI1pXhq973i71zgt5YuHkAVTpYJ60aula23Cpnq6qpa+G4cxq83apli5V0mWSduLO3sgL8lSeFBDME/1hnugP80R/DDr+e5KRNGU49V999ZUqiZZqi9ILuEzlypVT1bW//vprZKVWrVrh2LFjqqdxbZLO26T9ojYvJTgbN260PEfGFJfhwxo1aqSW5VGOYd37uJSgS1AtHRBp+1gfQ9tHO4ZUZ69Xr16ifeTuiyxr+xAR6clzzz1nKeHWxvS21qh8IdQu5YXoOCNm77yUCymk9PeWfhU4MCdxb+mbJgJXdgHxsbyQREREeUCGS7xLlCiBo0ePqiFqjhw5okqEX3zxRTV2rPWPvKzg7u6OGjVqJFonY4fLmN3a+pdffllV5/bx8VHBtPQyLsGwdKymldBLgP3CCy/giy++UDcIPvjgA9Vhm1Ya/dprr6kSdOk07qWXXlIlQ4sXL1Y9nWvkHAMHDlTBfoMGDVSv6uHh4eq1ExHpjXwnSqeUf/31l1pevny5aock36va3eNhLSrg1d8P4PddV/BaiwrwcMrb7YrzBblzXryueWr6TkJv6f+ZS8O13tKv7zNP274ocL2lExER5VWZapQtwe+QIUOgB99++60q4u/Ro4fqQVx6I5dhxzRSRXzlypWqF3MJyCXtEkB/+umnln2kxF6CbBkTfMqUKShZsiRmzpypjqXp3bu3qq4p439L8C5DmslQY0k7XCMi0lN1cy3wlo4iZV5uQmraVC2Cin5uOO8fhgV7ruK15hVyMbWUIkc3oHJb85RCtXQk6S09r1ZLJyIiyu8yPI733LlzUbhwYVWSIqSUePr06apU+Y8//kjUcy4lxnG8Kb+NXVgQ5aU8kdETpB8K6Q1UqwEkfWNYW3rgOt5dckS18d4+uiWc7G2R1+SlPMlSMoTJ7SMJpeGbgau7AaNV1XODlJ4//iAQL1k/x3pLL7B5omPME/1hnugP80R/jDr/e5KR+C7DqZ80aZKqXi5kDGupoi1VuCUYlxJjIiLST0+b0tZbs2HDBjUChbUutYujuKcT7oZGY9nB67mQSnrkaulSJX3QSuC9y0C/JcCTQ4HCjwEmI3Bjv7lK+uz2wORywB/9gL0zgPsXgIzddyciIqJHkOHAWzpWq1ixopqXaos9e/ZU1c5lzOrt27c/SlqIiCgbqptb3zVeuHBhou0OdjYY3NQ8POS0rRcRF29kHuT1aukdPgfe2Au8fRLo+hNQowfg7APEhJqrpK9+F/jhcWBKLeCfEcDJv4HIwNxOPRERUb6W4cDbzc0N9+/fV/Pr1q2zDCEmJSvShpCIiPSjadOmKFWqVKq9m4s+DUrB28UeVwMisPr47RxOIWUbzxJA3eeBnr+mr7f0Ga3YWzoREZFeAm8JtAcPHqyms2fPomPHjmr9iRMnULZs2exIIxERZZK0h5IhGDUHDx7EyZMnE+3j4mCHQY3Lqfmft1xABrv+oHxbLb0vq6UTERHlVuD9008/qd7BpYfvZcuWqaG9xIEDB9SQYkREpN/q5kKGg0xqYOMycHGwxalbIdhy9m4Opo70Wy19deJq6SuGAyf+YrV0IiKinOjVnDKPvZpTfuvJsSDKq3lSt25dHD58WM3L6BMXL15Mlv4JK09i5o5LaFDOB4tfbYS8Iq/mSX7uLZ15oj/ME/1hnugP80R/jDr/G5+R+C7D43hv27Ytze3NmjXL6CGJiCgHSr21wPvKlSvYuXOnav9tTTpZm7vrMvZeCsCBKwGoV8aH+VKQq6VrVdOjw4Ar/yUE4puAe2fM1dK1qukO7kDhSoBbEcDNz/zo6gvHeCcguhLgXtS8zsElt18ZERFRrslw4N2iRYtk6wwGg2U+Pj7+0VNFRERZSpoCjRo1ytJ+WzpZSxp4F/V0wrN1S2LR/muqrffMgQy8yapaukwi+AZwcfODEvHIAODmwUSXSsokvJNePAnQtcA82aN10F44x8YbJyIi0m3gHRiYeMiR2NhYHDp0CB9++CEmTpyYlWkjIqIsUrx4cbRq1UqN5S0WL16M77//Ho6Ojon2G9K8PBYfuIYNp/xx5nYoHivqzjyglHtLl0mqpfufAIKuAWF3gDB/9WgKu4PYwBuwjw6AQdbHRZnbjQfIdOEhV9QAuBRKCMZ9Uw/QZXL2lrv/zCEiIsp/gbfUYU+pp3MHBweMHDlSdbJGRET6rG6uBd5BQUFYvXo1unfvnmifCr5u6FCjKFYfu41ftl7At73r5FJqKc9USy9a0zxZMRmNCEhok6dqxUWHWoJy6wA92brwu4ApHoi4Z578H3Z++4RAPI0SdO3RwTVbLwUREVGWBt6pKVKkCM6cOZNVhyMioiwmQfbQoUMRGRlpqW6eNPAWQ5tXVIH3iiM3MbJNZZTyYdtcegQSeDt5mKfCFdPe1yhBdwAQnjQwTyFojww0d/oWcsM8PYyDW/Jg3DWFoN3VF7BzYJYTEVHuBt5Hjx5NtCztBW/duoXPP/8cdeqwZISISK+kt80uXbpg0aJFannlypWq+ZC3d+LWuDVLeqJppcLYfu4eZmy/iE+71silFFOBY2ObUL3cFyhSPe1946LNJeQPC9BDpap7JBATBgTIdPHh6ZAh1R7WFl2r6q7DXnaJiCgfBN4SXEu1saSjkDVs2BC//vprVqaNiIiyobq5FnjHxMRg2bJlGDx4cLL9hjavoALvRfuuYXirSijslrgtOFGus3MEPEuap7TI7xUJulOt6m41LyXtxjhzh3Ey3T2V9rFt7FIuNbfMW62XEne2RyciKrAyHHhfunQp0bKMp+br6wsnJ6esTBcREWWDdu3aoVChQrh//76lunlKgXejCoVQu5QXjlwLwuydlzCqXRXmB+VNEuw6upunQhXS3lc6i5Mq7MkC9BRK1SUwlyA99KZ5ehh7l8TV2SU9cvPAztn8aJ/waOf0YLK3mleT9X5Wz7N1ZMk7EVF+C7zLlCmTPSkhIqJsZ29vjz59+uCnn35Sy1u3bsXVq1dRunTpRPtJzSYp9X5t3gH8tusKXmteAe5OHOKJ8jmpNu5ayDwVqZb2vnEx6avqLlNshHkKvGyesoME35bgPEnAbu8Eg60jvOINMLh5JqxLEsCnFOgnC/xTWGebZd0FERHla+n+tty1a5cqIencubNl3W+//YaPPvoI4eHh6NatG3744YdkQ9MQEZH+qptrgbdYsGABxowZk2y/ttWKoIKvKy7cDcf8PVdV8E1ECaQDNhlaTaaHiZaq7ncSB+oqGI8yD7WmTZblaHO7dHmMjUx92WR8cI74aPMUnXISZNC1bKmbKNXttYA/Wel9eoL69D5PSvXtAIOtuS8A9WiT8GhntU4eOcQcEeXhwPvTTz9FixYtLIH3sWPH8PLLL2PQoEGoWrUqvvzySzVO7Mcff5yd6SUiokf05JNPokKFCrhwwTye8u+//4733nvPPOyTFRsbgwq2Ry09ilk7LmFQ47Jwsrfl9SfKKEc38/Swqu4ZFR+bJGC3CtyTBOzGmAiEBt6Fu7M9bCRATzOoT3ozIMk+0pu8RqrbSxt6mXTDkCQQTwjSUw3crfZN9rzU9rVL+flJ97WcM4V9YQPXiEjA3QOwtU87XRl5DfL6DbLekDCfcE0MCeu1+bTWWbaltC69x0CSdGTgGLx5QgU58D58+DDGjx9vWV64cKH68TZjxgy1XKpUKVX6zcCbiEjfJMCWUu9PPvlELZ88eRJHjhxJcWSKrnVK4Jv1Z3ErOArLDl5H/yfZ3IhINyRYk0naiz+M0YhIf3+4+/k9entwGfbNOkBPGsCndDMgHTcHUg/8E/aXIF/Gebcu6U+Rybwv4oB46JbkQjpyroAzZDB4T2G/FI+RcGz18OCms8z5Go0w2CbcwLDsY72HNpvacVJZzrLnIAvP85DjJDseMrBPRvZLwjpPTIBboVpApwdxaL4PvGXIGRmrWyPtAjt06GBZfuKJJ3Dt2rWsTyEREWW5/v37WwJvrZO1lAJvBzsbvNK0PD5deRLTtl5E7/qlYGfL4ZOICjQpVXVwMU+5QXqql+BbbgBIIC5Btpq3Xmf9mGS9FsBLZ3rJ9k2yPiP7WtKSvn1N8XGIjAiDs6MDDJLGNI+b0vFS2VeNPJRwjdQgRCardQnrH7oOVscwpe8Y5idldWYnvCbkCAn3WK9LXwwSsNo4Iz9Id+AtQbf0aC4l2zIEzcGDBxP9aAsNDVWd9hARkf5VqlRJ1Vras2ePpZ335MmTYavu8ifWp0EpfL/pHK4GRGDN8dt4pnbxXEgxEVECVbKpVavOu0xGI0L8/eHk5wdDfhkPXgXlSQP1DATvKe2X7mNY3ZRJ8xhqxwf7P0g8jEYTAgLuw8fHBzZaoatlF6t9Uz1OKsvZ9pxHSdtDzp3seMjAPo+wnynxstFkQni8MxxQgALvjh07qs535IfZX3/9BRcXFzRt2tSy/ejRo6rNIBER5Q1S3VwLvG/duoXNmzejdevWyfZzcbBT7bu/23AOU7dcQOdaxZK1ByciIsrz7bONRsTZ+QNZ0SSDsobRiFh//3xxNdP9jpL23XZ2dmjevLlq1y2Tg8ODew+//vor2rZtm13pJCKiLNa7d+9EJdxS3Tw1AxuVhYuDLU7dCsHWs3eZF0RERETZEXgXLlwY27ZtU229ZerevXui7UuWLFGdqxERUd7g6+uL9u3bW5aXLVuGiIiIFPf1dnVA3wbmsb6l1JuIiIiI0i/DdSg8PT1TbAMobSGsS8CJiChvVDfXhIWFYcWKFanuO7hpOdjbGrD3UgAOXAnIoRQSERER5X1svEBEVIB16dIFbm5u6apuXszTGd3rllDzP7PUm4iIiCjdGHgTERVg0lFmjx49LMtr167F3bupt+F+tXkF1W/OhlP+OHM7NIdSSURERJS3MfAmIirgrKubx8fHY9GiRanuW8HXDe2rF1Xz07ayrTcRERFRejDwJiIq4Fq2bIlixYqlq7q5GNrCPHTk30du4lpAyp2xEREREVEmxvGmnCMlTrGxsTl+yY0yTl5sLKKiomDDsQt14VHyxN7ePsWOEImSkvdJv3798PXXX6tlGdv73LlzqFSpUooXq1ZJLzSpWBg7zt/DzO0X8UnXGryoRERERGlg4K0jJpMJt2/fRlBQUK6dXwK90NBQGKQRJ+W6R80TLy8vFC1alPlJ6apurgXeYv78+fj444/TLPWWwHvhvmt4s1UlFHZz5FUmIiIiSgUDbx3Rgm4/Pz/V4VFOB78S5MXFxcHOzo6Bmk5kNk/keTIes7+/v1q2rkZMlJLatWujevXqOHHihKW6+UcffZTq+65xhUKoXdITR64HY87Oy3i33WO8sERERESpYOCto+rlWtBdqFChXEkDA2/9eZQ8cXZ2Vo8SfMv7itXOKS3y/pJS77Fjx6rlCxcuqCrnDRs2THV/KfV+bd5B/LbrMl5tXh7uTva8yEREREQpYOdqOqG16ZaSbqKsor2fcqPPAMp7+vbtm2j5YZ2sta1WFOV9XRESFYcFe65mc+qIiIiI8i4G3jrDttXE9xPlljJlyqBZs2aWZRlWLK2bNjY2BrzW3NzD+cwdlxAVG58j6SQiIiLKaxh4U47dUPjrr7+y/TxbtmxR58qqDuouX76sjnf48OEsOR5RXhrT+969e1i3bl2a+3erUwLFPJ1wNzQafx68kQMpJCIiIsp7GHhTlnQK9+abb6J8+fJwdHREqVKl8Mwzz2Djxo05fnUbN26MW7duwdPTM8fOeenSJTUUU/HixeHk5ISSJUuia9euOH36dKo3HmRZmzw8PPDEE0/g77//zrE0E6WmZ8+ecHBwSHd1cwc7GwxuWl7NT9t2AfFGEy8uERERURIMvOmRS4Tr1auHTZs24csvv8SxY8ewdu1atGzZEq+//nqOX10JGHJy+CyphtumTRsEBwfjzz//xJkzZ1T13Jo1az601H327NnqJsH+/fvx1FNPqYBHrh9RbvL29kbnzp0ty3LDKCQkJM3n9HmiFLxc7HHlfgRWH7uVA6kkIiIiylsYeNMjGTZsmApy9+7dix49eqBy5cpqSKKRI0di9+7dqT7vvffeU/tK519SUv7hhx8makt65MgRFby7u7urEmEJ7iVAFVeuXFEl6hIguLq6qvOtXr061armO3fuRIsWLdS55Dnt2rVDYGCg2iY3CZo0aaLGu5be5CXgkN6c00uGXpL9p06dqnp/ljayEkRPmDAh1d6gk46xLddh/PjxqvfyzZs3p/vcRDlR3TwqKgrLly9Pc39XRzsMalxWzf+85YLqjZ+IiIiIHmDgTZkWEBCgAlcp2ZYAOKXAMjUSUM+ZMwcnT57ElClTMGPGDHz77beW7f3791dVtvft24cDBw5gzJgxsLc3D1Uk54uOjsa2bdtUCfHkyZPh5uaW4nmkbXarVq1QrVo17Nq1Czt27FBBuwzfJsLDw9VNAgnqpWq8jY0NunfvDqPRmK5r4Ovrq56zdOlSyzEzSgLuWbNmqXnrKr5EuaVjx46JPr8Pq24uBjYqCxcHW5y8FYJt5+5lcwqJiIiI8haO461TUnU5p6sdSymVBI8y3nOtWrUe2k76/Pnz6jlVqlTJ8Lk++OADy3zZsmXx7rvvYuHChRg9erRad/XqVYwaNcpy7EqVKln2l21Sui7VuYWUmKfmiy++QP369VWJtEZKyDVyHGu//vqrCqblhkCNGjUe+jpKlCiB77//XqX7k08+UeeSknq5cZBWurShm+RaR0ZGqkBfrkOvXr0eek6i7CZ9Nch7cfr06WpZbkqtWLECXbp0SfU53q4O6NugNGbtuISpm8+jeWVfZhQRERFRAgbeOiVBd9OmTXPt/Nu3b1dVsNPyKNVJpR20BKxSTTssLEyV+kqVco2UQg8ePBi///47Wrdujeeeew4VKpiHLRo+fDiGDh2qeluWbRI8y42C1Eq85bmpOXfuHMaNG4c9e/aoHpy1km4J7tMTeGsl8AMGDFDV3KV6/ZIlSzBp0iQVqEj779RICb+k/+LFi3j77bfV9fDx8UnXOYmy24svvmgJvOWzLh0ISrON2rVrp/qcwU3L4bddl7HnUgAOXAlEvTLezCgiIiIiVjWnRyGl0NKe2rr37vSQKt9SIizVWVeuXIlDh/7f3n3AR1FubQA/IYVQE3oLvfcmICDiBaSKFAWkiYoiKE0REZF+RRBRqoCKgJ8IiFIEReSiIL0XKQrSe2ghQCB1v99zYJbdZVM2yW4myfO/d8yW2dlh3y1z5j3veffKsGHDJCIiwrrOqFGjdPx0q1attHAbUsWNcaYIyBGsdu/eXU9QoJd52rRpTp8rU6ZMce4L0s6RMo9UdwTfWMB2XxICqfPY1ocffqjj03HSBOO844Lx3aVKlZKmTZtqobVOnTpJcHCwS89L5C6oUYDZCgwYloH3OAoCxqZAQCadXswY601ERERE93GMNyUaemdRqGzGjBl6UO4otqreW7Zs0SJkCLYRNCOAR8E0Ryg6hp5g9Gy3b99eg1MDpizr3bu3VhIfNGiQBs7OoCc8tmnNrl27plXIkfaOceDly5e3Fl1LCpyMQIq8s9ckNrVr19YCcgjciczi008/lebNm1uvnz17VqfKw/CI2LzesKRgUoH/HbksRy/f8tCeEhEREZkbU81NCuOXke6dUmO8jfHT8UHQjSreCBzHjBmjgS7SxteuXSszZ86UI0eOPPIYBNpI5caYbsxf/fPPP9tVTcZBPcZ3Y3qt4sWLy7lz57TImjEee+DAgdKiRQsNzBEooxI4gmZnhg4dqv8WVF9HoI7iZVgf6ec4cYBK5kinLVCggO4Tiri5AqnsI0eO1N539Mpj+xs2bNCx4qjc7gr8u1DYDePFMXacKKX5+Pjo5xSfcWSgAD6LPXr00NtRWNBRqbxZpVmF/PLroUsya/1x+bRTtRTYcyIiIiJzYeBtUihsFt8Ya3cE3giacbCd0HmwUUBsz5492lOLnmekoaI4GXpvEXg7gwJN6Mnu27evVidHOjmmE0N6OSDwR280xk1fvnxZcufOrT3eKF4GODmAcdUIyDEuHD1ythXRbSE4R4/5+++/rycHkHpep04dLWyGoAHBA8aMYzx32bJldZw1ph5LKFReR1E07BvmNMfrZlzHv9EV+HfgRANeS9ticEQp/V20cuVK/dxcuXJFb0MdA3xeMA2eM32eKqmB94r9F+TtpmUkKEdmD+81ERERkbl4WTjhqseEhobqQSwqltsWEjPmyj158qQGXv7+/pISEhN4k7nbxAzvq7QGBfgwFj9v3rxOe3zTKgwRadSokZ4sM6D4oe2c37a6frVNNv97Tef3HvXsw5kE3CG9tomZsU3Mh21iPmwT82GbmE+MyX/j44rvHJlv74mIyHTq1aunQyhs9ezZUyudO9OnYSn9u2jnGbl2+2GwTkRERJQeMfAmIqIEwZRimH7PgOr/bdu21VkGHNUvlUuqBAXIvcgYmbflFF9hIiIiStcYeBMRUYKhFgOmvjNcvXpVpxlDipUtDI3o07CkXp6/5ZTcuhfJV5mIiIjSLQbeRESUYAioMbUfihUaDh8+rME46hHYalYxv5TIk0VC70XJwh1n+CoTERFRusXAm4iIXILZAVasWCGFCxe23rZmzZpHKvlnyOAlvZ+83+v91caTEh4VzVeaiIiI0iUG3kRE5LL8+fPLqlWrJGvWrNbbpk+froutttULSf7s/hJ8K1yW7jnPV5qIiIjSJQbeRESUKFWqVJGFCxfaTXU3YMAA+fXXX63X/XwyyKsNiuvlj3/9W/74J5ivNhEREaU7DLyJiCjRnnnmGZk0aZLdfJsY733o0CHrbV3qFJFKhbLLjbBIeXnuTvnw58MSERXDV52IiIjSDQbeRESUJAMHDpRevXpZr4eGhmpAfuXKFb2e2c9HfuhdT3rULarXv9x4Up6ftUVOX7vDV56IiIjSBQbeZBrFihWTyZMnJ+s2X3rpJZ1nmIjcB6nmGNvdqFEj622nTp3Sz969e/f0ur+vt4xuU0lmd68pAZl85cC5m9Jq6iZZsY/jvomIiCjtY+BNSQ5scdA9fvx4u9uXL19uN+4zIXbu3GnXa5ZaIcX2ueee0xMJeA1iO5kwY8YMXcff31/q1KkjO3bsiHfbS5YskXLlyuljKleuLL/88osb/gVErvP19ZUffvhBypYta71ty5Yt8tprr4nFYrGbYmz1gAZSq1gOuR0eJQMW7ZPBS/ZLWIT9VGREREREaQkDb0oyBIETJkyQGzduJGk7efLkkcyZM6f6FgkLC5MSJUroyQhUfnZm8eLF8vbbb8vIkSNlz549UrVqVWnWrJkEB8deeApBTOfOnaVnz56yd+9e7U3EcvDgQTf+a4gSLkeOHFrpPGfOnNbbvv32Wxk3bpzdegUDM8nC1x6X/o1LC87PLdl9TlpP2ySHL4Ty5SYiIqI0iYE3JVmTJk00wPzoo4/iXG/Tpk3SoEEDnQMY8//2799f7ty5E2uqOXqLZ86cKS1atNDHIJhFj5qts2fPSseOHSUwMFAP9tu0aaMprq6YN2+eFC9eXLJkySKtWrXSEwhNmzaVOXPmSGLUqlVLJk6cKC+88IJkzJjR6Tqffvqp9gS+/PLLUqFCBZk1a5aedPj6669j3e6UKVOkefPmMnjwYClfvryMHTtWatSo8cj0TUQpqVSpUrJ06VLtATd88MEH8v3339ut5+OdQd5+uowseLWO5MueUY5fuSNtP98s32w9ZddDTkRERJQWMPCmJPP29tYerWnTpsm5c+ecrnP8+HENGpGCfeDAAe3xRSDet2/fOLc9fPhwfcz+/fula9euGsweOXJE74uMjNRe4mzZssnGjRtl8+bNOqcwniciIiJB+47eOfQgDxs2THbt2iUhISG6T3/++ac8++yz1vWw3biW3r17J/j1wr7t3r1bT1gYMmTIoNe3bt0a6+Nwn+1jAP/+uB5DlBIaNmwos2fPtrutR48eTodT1CuZW1YPeFIalcurlc5HrDgkr//fbgkJS9hnmIiIiCg18EnpHSDn0ONzNzLa488ZFRUl2by9XR6f3a5dO6lWrZqmTjvrKUZvOAJnVD+G0qVLy9SpU/UAHb3aSFd3pkOHDvLqq6/qZfTwrl27VgP8zz//XIN3TF301VdfWfd37ty52vu9fv167bWOD4IDBLPGc4wYMUIDd/TMI/XdsG/fvji3kz17dkmoq1evSnR0tOTLl8/udlz/+++/Y33cpUuXnD4GtxOZDbI5/vnnHx2GAiiyhpNZCL6LFClit27OLH4yp8dj8vXmUzJ+9RH57fBlOThlo0zpXF1qFXuYtk5ERESUWjHwNikE3RVGrEmR5z40uqlkyeh6MgQOsFHV+J133nnkPvRYo6d7wYIFdoE+AueTJ09q6rQzdevWfeS6EQRjm//++6/2eNvCAT562BPi2LFj2otuqF27tvVEgmP6LBG5BpkwCL5RbBEuX74srVu31mwXx88tTp71fKK41C6WU/ot3COnroVJp9lb5a0mZeSN/5QS7wyunQwkIiIiMhOmmlOyefLJJzX1eejQoY/cd/v2bXn99dc1aDYWBM4IfEuWLJmo58M2a9asabdNLEePHpUuXbokaBsYg+3n52e9jrRx9L7Xr1/fbr3kTDXPnTu3pucjCLGF67EVYwPc5+pjiFIShlCguFr16tWtt+EEHLJfkPXhTOWgAFnVv4G0q15IYiwik9Yela5fbZPLofenJSMiIiJKjdjjbVKZfL3l8JhmKZJqjudOLFTyRsq57ZRCgCJghw8fdrnneNu2bfLiiy/aXTcO4rFNpJvnzZvXpVRvWwj6EfwbkMqOHnMUaDN6v5M71RyBPk4YrFu3zjrHOHr+cT2uMe/o7cc6Rrq+sb+OWQFEZoKihStXrtTP04ULF/Q2XB8yZIh88sknTh+TNaOPfNapmjxRKrcMX3FQtp24Li2mbJRPOlSRRuXsh1sQERERpQbs8TYppF1m9vNJkcXV8d22MLc0erMwftsWDrIxHRYCSwSxCHZXrFgRb3E1zFuNSt/oxcb4cYwPNR6D50HvMSqZo7gaUtYxthvV0mMr8uYIhdVQKR37hKJnOHEQFBSkgYEtnDCIa0Hwb8B2jN53XD5//rxeRlq8AVOJffnllzJ//nwtFtenTx+t8I5xsQaccLDNHhgwYID8+uuvMmnSJB0LPmrUKC0IF99rSJTSChUqJD/99JPOTmDA+xifgbg8VzNIVvZ7QioUyC7X70TIK/N2ydhVhyU8yrP1L4iIiIiSioE3JbsxY8ZoD66tKlWqyIYNGzSARuEy9FqjkFnBggXj3Nbo0aNl0aJF+vhvvvlGFi5cqNNvAabfQvVxFGpq3769jhNHII0e64T2QGP6MFQ0b9mypRQoUECnJEPwjrmxn3766UT9+9Grh38flosXL2qvHi4bBdygU6dOejteA2QIIDBHUG1bPO3MmTN2hdPq1asn3333nXzxxRc67zdOGGDsbKVKlRK1n0SehCwPpJ3beuONN+T333+P83El82SVZW/Wk5fqFdPrczadlOdnbpVTVx9ORUhERERkdl4WTpjqMaGhoRIQECA3b958JDBEsIgeW8wnHVuFb0+lmvv4JK3XO7lgH5YtW2ZNx06PktomZnhfpTU4qRQcHKxZDhjDTK5BVoltJgdmIdi+fbuUKVMm3seuPXxZBv+wX0LCIiWLn7d82K6ytMVYcLaJ6bBNzIdtYj5sE/Nhm5hPjMl/4+OK7xyZb+8dpqCqVauWVr/Fi40ADBVyHQOLN998U3LlyqVFrjDns2MBKvQcomcTPaTYzuDBgzWYsYVeTowZRrEtpA7Pmzfvkf2ZMWOGFCtWTAOYOnXqOJ2TloiIYodhJ5jT2xASEqLfz9euXYv3ZXu6Qj5ZPaCB1C6eU+5ERMvAxftk0Pf75U64/fc5ERERkdmYOvBGajKCahTUQhGpyMhInZsZY2ENb731lo7HxVhgrI80X6QdG1A5Fwd1GGuLMcYYU4ugGim+BvQIYp3//Oc/mvKL4lVIC16z5uF0XijihXG5GGe8Z88eTfVFBW+cgSEiooRB5sbs2bN1yIkB9Q+ef/55/Z6OT4GATLLwtcdlYJPSghnGftxzTp6dsUWOBoexCYiIiMi0UlWq+ZUrV7THGgE2pq5Cl36ePHl03CsO2gBFpzDWd+vWrfL444/L6tWr5ZlnntGA3Bg/O2vWLO11wfZQYRqXf/75Zx3Xa8DczuiJwbhbQA83et+nT59uTXsoXLiw9OvXT957770E7T9TzclVTDU3H7OnPKUWV69e1e/o48ePW2975ZVX5KuvvkrwsIptJ67JwEX75FLoPfH19pJhLctLj3rFTDFUJr3j58R82CbmwzYxH7aJ+cSkoVTzVDWdGP5BgAJYsHv3bu0Fb9KkiXWdcuXKabEtI/DGX1Tati1ahZ5qVJE+dOiQFr3COrbbMNYxpm1CLwyey3ZcIhoej8FjYxMeHq6LbcMYbyDH4mO4jiDLWFKK8dyp6HxMmpeUNjHeT87ec5Q4xmeVr2fS4Hsclc5RNND4bscMBvgOHzRoUIK2UbtYDvm5f30Z/MMB+f3vKzJq5WHZ/O9VGf9cZcmR2S+Je0hJwc+J+bBNzIdtYj5sE/OJMflxlyv7lWoCb/yjEAjXr1/fWsUZFZ/RY43iPLYQZBvVoPHXNug27jfui2sdBMp3796VGzduaMq6s3XQwx7XGHVU5XaEnnaMTbeFEwj4N2LsueP4c0/Bmxr/TmCPkTkktU3wXsL7CuNnfX193bCH6Q9eTwSKaBsznnlNbcE3qvR36dLF+j5HBhIymZo3b57g7Yx9upCUyR4jc3Zdl7VHgmX/5D9ldPPiUj0omxv3nuLCz4n5sE3Mh21iPmwT8zF7m9y6dSvtBd4Y641U8E2bNklqgR5yjAs3IJBHejoOKp1VNUfDoXo1lpTEAM18EtsmeC/hSwrFB1nVPPl+AHASBJ9jM/4ApDYYJoS0c3zHA35YcRlTBSIjKaFt0qNuBmnxWBkZsHi/nLoWJm/+eFT6Nyolb/6nlHhjMDh5FD8n5sM2MR+2ifmwTcwnxuTHXa4cX6eKwLtv376yatUqPRALCgqy3p4/f35NA8dYbNteb1Q1x33GOo7Vx42q57brOFZCx3UEx5kyZRJvb29dnK1jbMMZVEjH4ghvGsc3Dq7jTWUsKQEHvMZzs8fbHJLaJsb7ydl7jhKPr2nywnzex44dk8mTJ+v1sLAwadOmjX53FyxYMMFtUjkoUH7u30BGrDikRdcmr/tXtp64LpNfqKZF2ciz+DkxH7aJ+bBNzIdtYj5eJj6WdWWfzLf3DkEHgm7M5fz777/rXMS2atasqT2B69ats96G6cYwfVjdunX1Ov7+9ddfdtXHUSEdQXWFChWs69huw1jH2AbS2fFctuvg7AuuG+sQEVHiffLJJzq7hOH8+fPy7LPPahDuiiwZfWRSx6ryaceqktnPW7afvC4tp2yUdUfsT5wSEREReZKpA2+kG3777bdatRxzeWMsNhaMuwZUkOvZs6emc//xxx9aAO3ll1/WYBiF1QDTjyHA7t69u+zfv1+nCPvggw9020ZvdO/eveXEiRPy7rvv6pjtzz//XL7//nudqsyA5/jyyy91OrIjR45ocTZMa4bnIyKipEFW0cKFC7UYpgHf6S+++GKiCqq0rxGkvd+VCmWXG2GR0nP+Lhm98pCER90fS05ERETkSaYOvGfOnKmD6Z966ikpUKCAdcGc2obPPvtMpwt77rnndIoxpH4vXbrU7mAOaer4i4C8W7dueiA3ZswY6zroScd0YujlxvzckyZN0iltUNnc0KlTJ+2Rwfzf1apV0/m+MdWYY8E1SrxixYpZU02Ty0svvSRt27ZN1m0SkXvgBOvKlSt1yhDDjz/+KMOHD0/U9ornziI/9qknr9S/ny01d/Mpaf/5Fjlx5Xay7TMRERFRqg+8bafXsl0QTNkOaJ8xY4Zcv35de6ARdDuOuy5atKj88ssvmrKIiuIIoB0LmCG437t3r07/hXllbZ/DgLT306dP6zrbt2/Xub3TO7xOGHcxfvx4u9uXL1/u8pjknTt3Sq9evSS1wzR1OBGEEwl4DRJ6MuHAgQPSoEEDfU+jCN/HH3/s9n0lMht8X69YscKuPsa4cePkm2++SdT2Mvp4y4jWFWROj8ckR2ZfOXQhVJ6ZtkmW7jmXjHtNRERElIoDb0odEChOmDBBp11LClQrzJw5s6R2OMFTokQJPRkRV/E9W6h4j2ERCDqQXjtx4kQZNWqUTrVElN5gqNC8efPsbnv11Vdl48aNid5m4/L5ZPWAJ6VO8ZwSFhEtb3+/X97+fp/cCU+Z6RuJiIgofWHgTUnWpEkTDTAxb3lcMBUcenRRKR49uv3799cshdhSzdFbjOEGLVq00McgmP3hhx/stnn27Fnp2LGjVrXHnMCohHzq1CmX9h8H+BhukCVLFi3uhBMICILnzJkjiVGrVi0NnF944QWnVe2dWbBggVbo//rrr6VixYr6WLw+GEpBlB7hM4CTT4bIyEhp166dZiQlVv4Af/nutcfl7afLCGYYW7rnvPZ+Hzx/M5n2moiIiMg5Bt5mZbGIRNxJmQXP7QKMn0cq6LRp0+TcOefpmzhYbt68uaZgI6Ua4/QRiCN9Py4Y24nHoDBe165d9WAcxe2MA3GMw8e4UPSEbd68WbJmzarPgyA2ITD+HwX6hg0bJrt27dKp6bBPmLoOFZUN2G5cCwr0JcXWrVu1RgEq6Bvwb0OV/qRmEhClVqip0blzZ+v1a9euSevWrfVzmliY07t/49KyqFddKRDgLyev3tFx319vOqlDmYiIiIjcIVXM450uRYaJjEvY/LXJBSOyfRHzDz0vkjGrS49FTxSKzo0cOdJpTzF6wxE4Dxw4UK+XLl1apk6dKg0bNtRe7dgmn+/QoYOmmMLYsWO1AB4CfFSeR/COascohGeMJ587d672fq9fv157reMze/Zs7bE3ngMH+gjc0TOP1HcDiunFBdPTJQWq9TtOl2cU7sN9tvtClF7gc40sEGSx4OQU4MQbslxQt8OxVocrahfPKb/0byDv/nhA1h6+LGNWHZYtx6/Kx89XlZxZHp4AIyIiIkoO7PGmZINx3sZ0a47QY42UbtteYvToInA+efJkrNt0nCcd143tY5v//vuv9ngb20S6+b179xKcjnrs2DG756hdu7b1RIKtUqVKxbnYVmEmouSDk3LLli3T+gcGnIDDUIyk9lDnyOInX3SvKWPaVBQ/7wzyvyPBOuf3thPXkmHPiYiIiB5ij7dZ+WYWef+CR58SB7FRUVHig+dOBKRKI5geOnToI1Xhb9++La+//roeLDsqUqRIop4P26xZs6aOj3aU0B5ijMG2Te9G8I4D/fr169uth9vjgmnqZs2aJYmFMfKXL1+2u824ntACbURpFbI/MCykXr16cuvWLb0NmTLly5eXfv36JblX/cW6xaRm0RzSb+FeOXHljnT5cpv0a1Ra+jUqJT7ePD9NREREScfA26yQOu2XxbPPid6jDFH3nzuRUMkbKedly5a1u71GjRpy+PBh7R12xbZt23Teddvr1atXt24T6ebobU5sqnfJkiW119u2Jw095khtNXq/PZFqjl53jDPHuHVfX1/rvuB1zJEjR5K2TZQWVKpUSRYtWqRjvJEpAxi6gu8UnPBLqooFA2RVvydk5IpDsmT3OZmy7phsPXFNprxQTQoEZEqGfwERERGlZzyVT8mqcuXKOpYb47dtDRkyRLZs2aKFyxDEItjFXL3xFVdbsmSJjvE8evSojh/fsWOH9TF4nty5c2slcxRXQ8o6xnajVz22Im+OUFgNldKxTyjIhhMHQUFBsnLlykSnmmM72J6xzfPnz+tlpMUbpk+fLo0bN7Ze79Kli/a8Y38wDzhOKEyZMkXeeuutBP07iNKDli1b2lX6RwDeqVMnOXjwYLJsP7Ofj0zsUFUmd6omWfy8ZcfJ69JiykYdA05ERESUFAy8KdmNGTPG2iNlqFKlimzYsEEDaBQuQ681CpkVLBh3AbnRo0drLxce/80338jChQulQoUKeh/m/Eb1caSqt2/fXtNOEbiixzqhPdCYPgw9zTigL1CggI4RR/COA/mnn346Uf/+Cxcu6L8Py8WLF+WTTz7Ry0YBN7h69ardOPSAgAD57bff9OQB0ucHDRqkr0+vXr0StQ9EaRVSy/v06WO9jtRzzEBw5cqVZHuOttULyc/9G0jlQgESEhYpr32zS0b9dEjuRUYn23MQERFR+uJl4fwpHhMaGqoB1s2bNx8JDBEsIuhCZevYKnx7bIy3j4+1SnhKwj6gqFLbtm0lvUpqm5jhfZXW4KRScHCwZjlkyMBzlykBQzJw0gzDMQw4YYUTcTghl1wiomJk4pq/5cuN9wtAViiQXaZ1qS4l87g260N6xM+J+bBNzIdtYj5sE/OJMflxV1zxnSPz7T0REVEcUAfh+++/l3Llyllv2717t2a8JOe5ZD+fDDKsVQWZ+1ItnWLs8MVQaT1tk/yw+xzn/CYiIiKXMPAmIqJUJzAwUCud58qVy3obhqWMHTs22Z/rP+XyyuoBDaRuiVwSFhEt7yzZL29/v19uh0cl+3MRERFR2sTAm0wLPVfpOc2ciOKflQDDUYyZAABFGBGAJ7d82f3l21fryDtNy4h3Bi9Ztve8PDN1o/x17iabiYiIiOLFwJuIiFItFGucPXu23W0vvfSSTj2Y3BBw921UWhb3elwKBvjLqWth0n7mZvlq4wmmnhMREVGcGHgTEVGq1qNHD612bggPD9dpBk+fPu2W53usWE75ZUADaVYxn0RGW+S/Px+RnvN3ybXb4W55PiIiIkr9GHgTEVGq99577+m0ggZUQG3durVON+YOgZn9ZFa3mjK2bSUtwvb738HS5NMN0ufb3TJ7w3HZfuKahEVwDDgRERHd5/PgLxERUaqFKUbmz5+vvdyocA5//fWXdOzYUWbOnCnFihVL9ufEFH/dHy8qjxXNIf0W7pV/g2/L6oOXdNF98hIpky+bVC8SKNUKB0rVwoFSOm82TVknIiKi9IWBNxERpQmYw/unn36S2rVry/nz5/W2X3/9Veexf/LJJ+XFF1+U559/XufbTE7lC2SXX/o3kD1nbsi+syGy70yI7D8XIhdv3pO/L93SZeGOs7puFj9vqRwUINUK55Bqhe//zR/gn6z7Q0RERObDwJuIiNKMggULysqVK+WJJ56QsLAw6+1//vmnLn379tXx3927d5emTZvaVURPCqSbP14ily6Gy6H3ZO+ZEA3G958NkQPnQuRORLRsO3FdF0P+7P5S9UEQjp7xKkEBkiUjf56JiIjSEv6yk2kgFXTgwIG6JBdUNw4JCZHly5cn2zaJyNyqV68uq1evltdee02OHj1qd9+9e/dk8eLFuuTNm1c6d+6sPeF4DFLHk3sKsuaV8usC0TEWTUdHEL4XPeNnQ+SfS6FyKfSeXDp0T9YcuqzrIRMdKekIwqsVCZSqQYFSJl9W8fFmWRYiIqLUir/ilOTAFger48ePt7sdga6rB7E7d+6UXr16pYkWWbJkiZQrV078/f2lcuXK8ssvv8S5/qZNm6R+/fqSK1cuyZQpkz72s88+89j+EqU1SC3/+++/ZevWrfLGG29Izpw5H1kHBdimTJkiNWvWlEqVKsmECRPk3LlzbtsnjO0umz+bdKxVWD5qX1lWD2ggB0c3k+9fryvvtywnLSvn12nKYiwi/1y+JYt3nZWhS/+SllM3SuVRv0nH2Vvlo1+OyC9/XZQLIXc5hRkREVEqwh5vSjIElzhgff311yVHjhyJ3k6ePHnSRGts2bJFe9E++ugjeeaZZ+S7776Ttm3byp49e/Tg3pksWbJoCmyVKlX0MgJxvJ4Ys/rKK694/N9AlBbg5N/jjz+uC05k4QTYN998I6tWrZLIyEi7dQ8fPqyV0YcOHSqNGjXSVHRUSc+WLZtb9zGzn4/ULp5TF0Nw6L37Y8WRon4uRA6cvSm3wqNkx8nruhjyZstoLdpWvXCgjh3P5p88qfNERESUvNjjTUnWpEkTyZ8/vwaacUEw2aBBA+3RLVy4sPTv31/u3Lljl2o+efJku4NmVCNu0aKFPqZEiRLyww8/2G3z7NmzWrU4MDBQe7QwdvPUqVMu7f+8efO0+BIC3latWsmNGzd07OecOXMkMdCD1rx5cxk8eLCUL19exo4dKzVq1JDp06fH+hikuSJYr1ixor4O3bp1k2bNmulrRkRJ5+fnpyfAli5dKpcuXdLvlrp16z6ynsVikXXr1mk2D77X8Flcs2aNREdHe6wZ8mb3l6YV88u7zcvJglcfl/0jm8rat56Uj5+vIl3rFJGKBbNr73nwrXD57fBlmbjmH+ny1XapMvo3efrTDTJ4yX5ZsP20HLpwU6KiYzy230RERBQ7Bt4mhYO/sMgwjy93o1xPX/T29pZx48bJtGnTYk3TPH78uAajzz33nBw4cEDHVyKoRC9vXIYPH66P2b9/v3Tt2lVeeOEFOXLkiN6HHisEp+iR2rhxo2zevFmyZs2qzxMREZGgfUfPV8+ePWXYsGGya9cuHQ+OfUIRpmeffda6HrYb19K7d2/rukhtxckIW9hP3J5Qe/fu1Z5zpMsSUfLCSTp8ZvEZwxjwESNG6Mk3RyjOtmDBAv1OwcnCd955R7+/PC1DBi8pnS+bdHyssHzYrrL83L+BHBzVTH7oXVc+aFVeWlUpIIUCMwm+uo8F35Ylu8/JsGUHpdXUTVJp1BrpMGuLfPjzYfn5wEU5dyOMKepEREQpgKnmJoUAuM53dVLkubd13iZZ/LK49Jh27dpJtWrVZOTIkU57itEbjsDZKJxWunRpmTp1qjRs2FB7npCu7kyHDh3k1Vdf1cvoOV67dq0G+J9//rkG7zExMfLVV19Zx5PPnTtXe7/Xr1+vvdbxmT17tgbJxnPgABwH2eiZt01937dvX5zbyZ49u/UyetPy5ctndz+u4/b4BAUFyZUrVyQqKkpGjRql+4XLROQe+C4aPXq0ft5w8u7//u//9Lvl5s2bdutdvHhRJk2apAuGhKAgW5cuXaRAgQIp0jSZ/LzlsWI5dTFcuRWuhduMFHX8vXUvSnaeuqGLyEldL3fW+ynqxnRmVQoHSHamqBMREbkVA29KNhjnjbGR6BVyhB5r9BSh98iAnnUEzidPntSUbGccU0Fx3QiCsc1///33kTGYqFqMHvaEOHbsmPaiGzD/r3EiwVapUqXEE9Bzf/v2bdm2bZuONy1ZsqSefCAi98LJO0xBhgXDRZANgyAc48IdT37huwzfc++++648/fTTOh4caewYrpKS8mTLKE0q5NMFYmIscuLqHet0Zvh75GKoXL0dLv87clkXQ8k8We5PZ1bk/nhxFIHzZRV1IiKiZMPA26Qy+WSS7V22e/Q5EQhjHCOeOzGQFo2UahQnwvhIWwgmUSwM47odFSlSJFHPh22iGrFtMO9qobaMGTPq2E8D0sbR+44K47Zwe1wwDnTWrFl6GeNCL19+eEALuI7b42Oku6ISOh6DnjgG3kSehe+A559/XhdkoKAHHEXZMPOCLZw4xPhvLPiOwLAY9IQ/9dRTkiFDyo/kQop6qbxZdXm+ZpDedi8yWsd+7zuLBcH4DTl7/a4cv3JHlx/33B8ulNEng1QqFPCgZ/z+EpQjU7JPuUZERJReMPA2KRzcZPbN7PHAO8orKkkHVphWDCnnZcuWtbsdxcVQNdjVnmP0/OJA1vY6CpEZ2zTm4rVN9XYFepTR621AKjt6zFGgzej9djXVHL3yKM5kOx85tuuskFNccFAfHh7u0mOIKHnhJB7qPmDB9GToBf/222/lzJkzj5wInD9/vi4YMoKhNegJR8FEM/H39ZaaRXPqYrh2O/x+avqZENl37qb2jt+8Gym7T9/QxZAri5+1irrxNyATq6gTERElBANvSlboqcUBJ8Zv2xoyZIhO6YODV4xbRkomAnEEpHFV+8Z82I899pimf6Jne8eOHdYx5HieiRMnaiXzMWPG6MHu6dOntWoxUkBxPT4orIZU8wEDBkiFChX0xAEet3LlSq2WbnDlhAG2hbHrGAuKKumLFi3Swm1ffPGFdR1kBZw/f1570WDGjBna84/5uwHF3T755BPp169fgp+XiNwLn88PP/xQ603gM4ogHN9Rt27dslsPRSYx9AYLThDi5CFmLcBJQjPKlTWjNCqXTxfjJOxJhxT1wxdD5dqdCFn3d7AuhhJIUQ8K1BR1BOPl8mcXP5+U7+0nIiIyGwbelOwQBKMn2haKEW3YsEGrh6NwGQ7s0NvcqVOnOLeFVGsErm+88YYWMVq4cKEGyIA5rnHwi6Ae8+3i4LdQoULSuHHjBPeAIzDGPrVs2VJ7l7FvKNCGFFOM3cSJAVfVq1dP5+7+4IMP5P3339fiTcuXL7ebwxuFmmx7zNC7jWAc4919fHz0tcFBe69evfQ+IjIPpJEjnRwLij3+9NNPGoQ7m3Zsz549ugwaNEgLN6IXHDMmYIpEs0LWU4k8WXVpX+NhijqCbyMQx3L6WpicuHJHl6V7z+t6vt5ekitLRsmeyUcy+4jkyX5WAjL7ac84lsDM9/9mx+UHtxmLD8eUExFRGuZlcXXuKEq00NBQCQgI0Gq5joEh0psRdGGMb2wVvj2Sah4VpYGfGcbxYR+WLVumRYvSq6S2iRneV2kNToQEBwdr76UZxvGSedoEdRlwchCZLJgSMDb4/kftBvSEI5sntb6PbtyJkH1GivqDSuohYZGJ3l7WjD5Og3IE67jNMXjXy5n8JJu/j45np9TxOaGH2CbmwzYxnxiTf3fFFd85Yo83ERFRMsC0gajtgOXgwYPaC44hMhhW4vgjjSEzWIoWLaq94FjKlCmTqtohRxY/+U/ZvLoYJwov3Lwn129HyI2wcDlz6aqIb2YJDY+Sm2GROm4cS4jN5dC7kXIr/H7V+NvhUbqcD7nr0n7gnGQ2BO2Z7wfi1l50uwD94WUN7B/ch2DfDCeaiYgo7WPgTURElMwwtATDRcaNGyfr16/XXvAff/xR7ty5Y7ce6lL897//1QUFHdELjiE4uXPnTnVtggC2UGAmXbSHIntMgnoooqJjJPRe1IOgPMIuKLcN0kNsbjcC+LuR0YK8PTwey1lxLWj3zuBlF5AHuNDbnsnXm0E7ERElGANvMi2OgiCi1M7b21vrTmD5/PPPdfgMesL/97//PVK/AcUjsaDHHPUn0Av+zDPP6LSHaRnGdufM4qeLiGtzoUdExTwIzB8G7I696na97Tbr4LHRMRa5fidCF1f5eWd4EJT7aM855j3HguJy9/963f+L230e/PX2sl/nwW1+Pt4P/t6//eE6Xg/WeXjb/e093I5xP04iEBGReTHwJiIi8gDM5tCtWzddLly4oEUY0RP+119/2a2Hug4rVqzQJUeOHDrDAnrCMSUh06LtIfDMky2jLq5CwTi7HnXH3naHQN7oaccSFWORiOgYuXo7XBczQNztGIwjQLcN3CUmSrL4nxQ/X2/xe3ASwP5EwIPbHmzDCP4fCfwfnDBAsJ/By0vT/e0ue3npuHvsE26zLhkeXsfueBmXHzwOj9HHet2/7/427S8/3N6DyzzhQESpBIureRCLq5GrWFzNfMxe5CM9Su1tsn//fut48EuXLsW6HmY7QC84AndcNrPU3ibxfS/fiYi29qaH3I2QuxHREhkdIxHRFu1Jx2W9rpcdbrPe/uA+u+sxEhnl5LZoi4TbXb9/G91nG4Qblx2D+ftBvsR9ssDhdt2W7eUH93vhfw8SDB69jmvG7Y/epmvb3BcRES7+GTPeX+fBth78P85t3V/n4bac7ZfEcr/tthz/DdZ1jed58FwPLz68YlsewTbfwsvF9W3vSMp27G6PpXZDfNvUz/ft25I1a1an24ivJITtNl19bJzbjefBcd0b/z4nTmJPBHu5+LCYGIsEeEdIm9qlU31xNQbeHsTAm1zFwNt80nJAkVqllTZBT/e6deu0Fxwp6Xfv3o1z2kLM+FCsWDEJCgrSqRQx5aKvr6+YQVppE7P/PkQ8CMAjHwTlD4Nzi8P1GAmPjJar129IpizZJCpGHt7+4OSA7cmCCJuTALqOXrY5WfBgHexDjEU0ZT/GYtHx9tEWm8sxj17G+nicrhdj/xjch9uMy0RE8J9SgTLnlbqm/D1hVXMiIqJUBtMGNmvWTJdbt27J0qVLNQj/448/Hql5sWXLFl0cex9QWd0IxGP7i5R3Sv3Q3hl9vCUjBg1mTOjJEElVJ0Nsg/D7fx8G+hYnl3H//esPLmvQ7+TkgON2Yx59jkdujzG2J2J8Go3P5f3bHtz34H7rfQ/+Y73fZn1sMzT0lmTLdr931Xofnse6nn3NG7vncrj+cB3n99/fl4f7Fdu2JJZ/o3X7Nm1kf7v9fjpj97q4sI3Y1jfusf/3J3572L979+6Kv3+mR7uC4zkZZElC3aK4H5syz5toybxRi8UiJXOkjdHRaeNfQURElIZky5ZNevToocvZs2c1DR1B+JEjR+I8OEGqOpZdu3bFul5gYKAG4HEF57ly5eJ4ckpxmuad6ERY82NmiPmwTczbJmkBA28iIiITK1y4sLz33nsyZMgQ2bNnj44HX7x4cZzjweMSEhKiy6FDh2JdB5XUnQXktpeR2o5eeiIiIooffzHJNDBWEdPoYEkuL730kh5gLl++PNm2SUSUEpCKWrNmTV0mT56s48rOnTsn58+fj/XvlStXEvVc4eHhcuLECV1ig3Tl2FLbEZRnypRJCxRhISIiSu8YeFOSA9v58+fLRx99pD0yBgS67dq1c2ku7p07d6aZsYdLliyR4cOHy6lTp6R06dIyYcIEadmyZazrX7x4UQYNGqTpof/++6/0799fD6yJiGKD6qkVKlTQJa4AGlOXxRWc434UdktM+h++u7Dg+zuu1Pb4xp3nzJmTqe1ERJSmMfCmJPP399fA8vXXX9c5ZxMrT548aaI1UPCoc+fOejLimWee0bl6UX0YKaKVKlWK9eAY//4PPvhAPvvsM4/vMxGlTUgZL168uC7xjZ+LLTA3Lt+5cydJqe0HDx6M83ckvtT2/PnzM7WdiIhSLQbelGRNmjTRXloEmh9//HGs623atEmGDh2qvbq5c+fWHnE8xujldkw1R1rl559/Lj/99JOsX79eUxex/eeff966TRQdQk/xb7/9pmmPDRo0kClTpui2EmrevHkyevRoPfB86qmn5Ntvv5VOnTrp0rNnT5dfDzx/8+bNZfDgwXp97NixsnbtWpk+fbrMmjXL6WOwv3gcfP311y4/JxFRYuG7E0Etlscee8zpOsheSkhq+9WrVxO1D/fu3ZPjx4/rEt9+GoE4evwRsCOl3XZxvC2+dXDZ29s7UftNRESUUAy8TUqngohjDld3PWdMVJRYsmVzKeUPByzjxo2TLl26aIo0Dooc4WAKweh///tfDSwx7rBv3766zJ07N9ZtI117/PjxGpSioNALL7wgf/31l5QvX14iIyN12p26devKxo0btScE28fzHDhwQPz8/OLd91WrVmlwPXv2bKlfv768+uqruk9//vmnVhE2xDdGsVu3btageuvWrfL222/b3Y/95DhzIkqt8JsQEBCgS8WKFeMMoJG6jpOihw8fltu3b9v1mhup7dHR0S7vA3rm8VgsyQ3zn7sSrCfHOixMR0SUvjDwNikE3f/UqJkiz11m9y4RF8dao/e6WrVqMnLkSJkzZ84j96Nnu2vXrtbebIx7njp1qjRs2FBmzpypByLOdOjQQYNh257jadOmaU84qvriQOyrr76ynihAEI/xhOghb9q0abz7jYAbPfbGc4wYMUIDd/Sc26a+79u3L87toOfFgErDKDhkC9cTW4GYiCi1wHd5iRIlNIunbNmyTueMRtBtm9oeWw96WFiYx/YbJ3KxoFffUxB4uxqs4wQBTnYbC7Zhez22BevhdxLDBTAkzHE7Cd1WYtdx5WQ+EVFaxcCbkg3GeTdq1EjeeeedR+7bv3+/9kLb9iJrD3tMjJw8eVJ7sJ1Bb7bjdSMIxjaR4o75bp2lLCbEsWPHtBfdULt2beuJBFulSpVK0PaIiChuCMQwdAhLrVq1nK6D34ebN2/GWRAOQSS+7+/evWtd8JuSWqCg3a1bt3RJ6xB4JzaIx4kbPN7ZEtd9qeF+LHjfYsid47rG62b7Gjr7m9DbUsP6zt43nr4d3z3I1MGxpeP97t6fxDLz9pJjWzExMfo92bp1aylXrpykZgy8TcorUyYpu2e3R58TXzY4EMBzJ8aTTz6pKdUYx41q57bwJYbia0hFd1SkSJFEPR+2iWl1bIN5Vwu1ofCQbUo6UsrRs4C0c1uupJpjDOLly5ft7sd13E5ERAk7WEP2EpbYilI6+w1Dr7VjMO543dltCVkntsclpiJ8emMcX/C1IqLEwrE9A29yCz3jmTmzx38YMyDwTsLZKYzHRso5Ugxt1ahRQ8f7udpzvG3bNnnxxRftrlevXt26TaSbI5XRNtXbFSVLltRebwNS2XEghWnAjN5vV1PN0Su/bt06u/nIsV3H3nsiIko++O3CiVQsif1NSAwEk+4I9J2tg+dCqj4W28upqaefiCi9Yo83JavKlSvrWG6M37Y1ZMgQefzxx7VwGcZTI60KgbhR7Tuu+bBRZfeJJ57Qnu0dO3ZYx5DjeSZOnCht2rSRMWPGaFG306dPy9KlS+Xdd991WuTNEQqrIdV8wIABOhcuThzgcStXrpSOHTta13PlhAG2hbHrkyZNklatWsmiRYu0kvsXX3xhXQdZAUiX/Oabbx4J7tGTj+JzuI5xeGXKlEnwcxMRkWchHRppqY7DnjzJGLplBOLOloiICM2+whhvrB/XurZBfXyLK+smZtv4d2nBWSdLWrhPMw29vOxuM9rUtn2d/U3obe5en4gShoE3JTsEweiJtlWlShXZsGGDDBs2TAuX4csavc2YsisumOYLgesbb7yh4wEXLlyoATJkzpxZq48jqG/fvr2O/8AUM40bN05wbwcCY+xTy5YtdS5t7BsKtGHKsqefflpPDLiqXr16Onc35uR+//33tZAcKprbpktevHhRzpw5Y/c4oycfdu/erdsoWrSoXY88ERFRXGOoY4PgD9kAzgreUcpAm6DQYFpqk8QG9rFtx9O344QPOj+Q1mzbJu5+3sQy8/aSa1sxMTHaJq5MFWxWXhaervIYVEvFVCwoGOMYGCKlDEXGihcvHmuFb3czzrwa1U9TGvZh2bJl0rZtW0mvktomZnhfpTVp8UAptWObmA/bxHzYJubDNjEfton5xJj8uCuu+M6R+faeiIiIiIiIKA1h4E1ERERERETkRhzjTabFURBERERERJQWsMebiIiIiIiIyI0YeBMRERERERG5EQNvk2F6NfH9RERERESUtjDwNglfX1/9GxYWltK7QmmI8X4y3l9EREREROR5LK5mEt7e3hIYGKjz1EHmzJk9Ppe22ebxpsS3CR6HoBvvJ7yv8P4iIiIiIqKUwcDbRPLnz69/jeDb0xCsYZJ6TE7PwNscktomCLqN9xUREREREaUMBt4mgsCqQIECkjdvXomMjPT48yPAu3btmuTKlUsDPUp5SWkTpJezp5uIiIiIKOUx8DYhBEspETAhyEOw5u/vz8DbJNgmRERERESpH7s1iYiIiIiIiNyIgTcRERERERGRGzHwJiIiIiIiInIjjvH2cIVqCA0NFbOOJ7516xbHeJsI28R82CbmwzYxH7aJ+bBNzIdtYj5sE/OJMXl8YsR1RpwXFwbeHoQ3DRQuXNiTT0tERERERERujPMCAgLiXMfLkpDwnJLtjM2FCxckW7ZsppwnG2dscFLg7Nmzkj179pTeHWKbmBI/J+bDNjEfton5sE3Mh21iPmwT8wk1eXyCUBpBd8GCBePtkWePtwehMYKCgsTs8KY24xs7PWObmA/bxHzYJubDNjEfton5sE3Mh21iPtlNHJ/E19NtMF+iPBEREREREVEawsCbiIiIiIiIyI0YeJNVxowZZeTIkfqXzIFtYj5sE/Nhm5gP28R82CbmwzYxH7aJ+WRMQ/EJi6sRERERERERuRF7vImIiIiIiIjciIE3ERERERERkRsx8CYiIiIiIiJyIwbeZDVjxgwpVqyY+Pv7S506dWTHjh18dTzgo48+klq1akm2bNkkb9680rZtW/nnn3/s1rl37568+eabkitXLsmaNas899xzcvnyZbaPh4wfP168vLxk4MCBbJMUdP78eenWrZt+DjJlyiSVK1eWXbt2We+3WCwyYsQIKVCggN7fpEkTOXbsWErucpoWHR0tw4cPl+LFi+vrXbJkSRk7dqy2g4Ft4l5//vmntG7dWgoWLKjfUcuXL7e7PyGv//Xr16Vr1646P25gYKD07NlTbt++7eY9T59tEhkZKUOGDNHvrixZsug6L774oly4cMFuG2wTz7WJo969e+s6kydPZpukcJscOXJEnn32WZ0jG58XHCufOXMmVR8bM/AmtXjxYnn77be1auCePXukatWq0qxZMwkODuYr5GYbNmzQL45t27bJ2rVr9Ye5adOmcufOHes6b731lqxcuVKWLFmi6+NHun379mwbD9i5c6fMnj1bqlSpYnc728Szbty4IfXr1xdfX19ZvXq1HD58WCZNmiQ5cuSwrvPxxx/L1KlTZdasWbJ9+3b9ocb3GH6cKflNmDBBZs6cKdOnT9cDJFxHG0ybNo1t4iH4ncDvNU6cO5OQzwSC7kOHDunvz6pVq/SAuFevXp76J6SrNgkLC9NjLJywwt+lS5fqiXYEF7bYJp5rE1vLli3TYzEEg47YJp5tk+PHj8sTTzwh5cqVk/Xr18uBAwf0c4POwVR9HGYhslgstWvXtrz55pvW1yI6OtpSsGBBy0cffcTXx8OCg4PRXWTZsGGDXg8JCbH4+vpalixZYl3nyJEjus7WrVvZPm5069YtS+nSpS1r1661NGzY0DJgwAC2SQoZMmSI5Yknnoj1/piYGEv+/PktEydOtN6Gz07GjBktCxcu9NBepi+tWrWyvPLKK3a3tW/f3tK1a1e9zDbxLPwmLFu2zHo9Ia//4cOH9XE7d+60rrN69WqLl5eX5fz58x7+F6T9NnFmx44dut7p06f1OtskZdrk3LlzlkKFClkOHjxoKVq0qOWzzz6z3sc28XybdOrUydKtW7dYH5Naj43Z400SEREhu3fv1hQ0Q4YMGfT61q1b+Qp52M2bN/Vvzpw59S/aBr3gtu2DM4BFihRh+7gZMhFatWpl99qzTVLGTz/9JI899ph06NBBh2RUr15dvvzyS+v9J0+elEuXLtm1FdLTMGyG32PuUa9ePVm3bp0cPXpUr+/fv182bdokLVq0YJuYQEI+E/iL9HJ8tgxYH8cA6CEnz/zmI9UW7cA2SRkxMTHSvXt3GTx4sFSsWPGR+/k58Xx7/Pzzz1KmTBnN0MFvPr63bNPRU+uxMQNvkqtXr+pYvXz58tm9GriOH23y7JcNxhEjpbZSpUp6G9rAz8/P+qPM9vGMRYsWaSogxuA7Ypt43okTJzStuXTp0rJmzRrp06eP9O/fX+bPn29tE+D3mOe899578sILL+jBDoYA4GQIvr+Qksk2SXkJ+UzgLw5qbfn4+OiJX/7+ux9S/jHmu3PnzjrGnm2SMjBMBu97/KY4w8+JZwUHB2udCdTXad68ufz222/Srl07TSNHSnlqPjb2SekdICL7HtaDBw9qrxGlnLNnz8qAAQN0zKPteCJK2ZNS6JUbN26cXkeQh88Kxq726NGDTZMCvv/+e1mwYIF899132ku0b98+DbwxPpJtQhQ39NZ17NhRC+DhpCKlDPScTpkyRU+0I/OAzPF7D23atNFx3FCtWjXZsmWL/uY3bNhQUiv2eJPkzp1bvL29H6kEiOv58+fnK+Qhffv21cI2f/zxhwQFBVlvRxtgOEBISAjbx4M/xDjjWqNGDT0LjgVnWVGkCJdxRpVt4lmoylyhQgW728qXL2+tcGp8V/F7zHOQlmn0eqNKM1I1cZBkZImwTVJWQl5//HUsohoVFaVVtfn77/6g+/Tp03qC1+jtZpt43saNG/UzgBRl4/ce7TJo0CCd6YdtkjJxiY+PT7y/+anxOIyBN2mqRs2aNXWsnu3ZJlyvW7cuXyE3w9luBN2opvn777/r1Dy20DZI47RtH1RBxZcP28c9GjduLH/99Zf24BkLeluRQmtcZpt4FoZfOE6zh7HFRYsW1cv43ODH1vZzEhoaquNU+TlxD1RoxlhgWziJa/RWsE1SVkJef/zFgStONhrwO4Q2xJhKcl/QjWnd/ve//+lUSLbYJp6FE4aomG37e4+sHZxYxLAmtonnIS7B1GFx/ean2mPjlK7uRuawaNEirXQ6b948rd7Yq1cvS2BgoOXSpUspvWtpXp8+fSwBAQGW9evXWy5evGhdwsLCrOv07t3bUqRIEcvvv/9u2bVrl6Vu3bq6kOfYVjVnm3geKv/6+PhYPvzwQ8uxY8csCxYssGTOnNny7bffWtcZP368fm+tWLHCcuDAAUubNm0sxYsXt9y9ezcF9jjt69Gjh1YBXrVqleXkyZOWpUuXWnLnzm159913reuwTdw/88LevXt1wSHdp59+qpeNCtkJef2bN29uqV69umX79u2WTZs26UwOnTt3dvOep882iYiIsDz77LOWoKAgy759++x+88PDw63bYJt4rk2ccaxqzjbxfJssXbpUq5Z/8cUX+ps/bdo0i7e3t2Xjxo2p+tiYgTdZ4U2NN7Cfn59OL7Zt2za+Op74EIo4XebOnWtdBwdJb7zxhiVHjhwabLRr105/qCnlAm+2ieetXLnSUqlSJT1JWK5cOf1BtoXpk4YPH27Jly+frtO4cWPLP//8kwJ7mj6EhobqZwK/G/7+/pYSJUpYhg0bZhdAsE3c648//nD6+4GTIgl9/a9du6aBdtasWS3Zs2e3vPzyy3pQTMnfJjhBFdtvPh7HNkmZz0lCAm9+TjzfJnPmzLGUKlVKf1+qVq1qWb58ud02UuNxmBf+k9K97kRERERERERpFcd4ExEREREREbkRA28iIiIiIiIiN2LgTURERERERORGDLyJiIiIiIiI3IiBNxEREREREZEbMfAmIiIiIiIiciMG3kRERERERERuxMCbiIiIiIiIyI0YeBMREZHLXnrpJWnbti1fOSIiogTwSchKRERElH54eXnFef/IkSNlypQpYrFYPLZPREREqRkDbyIiIrJz8eJF6+XFixfLiBEj5J9//rHeljVrVl2IiIgoYZhqTkRERHby589vXQICArQH3PY2BN2OqeZPPfWU9OvXTwYOHCg5cuSQfPnyyZdffil37tyRl19+WbJlyyalSpWS1atX2z3XwYMHpUWLFrpNPKZ79+5y9epVtggREaUpDLyJiIgoWcyfP19y584tO3bs0CC8T58+0qFDB6lXr57s2bNHmjZtqoF1WFiYrh8SEiKNGjWS6tWry65du+TXX3+Vy5cvS8eOHdkiRESUpjDwJiIiomRRtWpV+eCDD6R06dIydOhQ8ff310D8tdde09uQsn7t2jU5cOCArj99+nQNuseNGyflypXTy19//bX88ccfcvToUbYKERGlGRzjTURERMmiSpUq1sve3t6SK1cuqVy5svU2pJJDcHCw/t2/f78G2c7Gix8/flzKlCnDliEiojSBgTcRERElC19fX7vrGBtue5tRLT0mJkb/3r59W1q3bi0TJkx4ZFsFChRgqxARUZrBwJuIiIhSRI0aNeTHH3+UYsWKiY8PD0mIiCjt4hhvIiIiShFvvvmmXL9+XTp37iw7d+7U9PI1a9ZoFfTo6Gi2ChERpRkMvImIiChFFCxYUDZv3qxBNiqeYzw4piMLDAyUDBl4iEJERGmHl8VisaT0ThARERERERGlVTydTERERERERORGDLyJiIiIiIiI3IiBNxEREREREZEbMfAmIiIiIiIiciMG3kRERERERERuxMCbiIiIiIiIyI0YeBMRERERERG5EQNvIiIiIiIiIjdi4E1ERERERETkRgy8iYiIiIiIiNyIgTcRERERERGRGzHwJiIiIiIiIhL3+X/oG/2jzQAeuAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "\n", "plt.plot(t_sir, S_sir, label=\"Classical SIR\", linewidth=2.5, color=\"black\")\n", "\n", "for res in neipel_results:\n", " plt.plot(res[\"t\"], res[\"S\"], label=f\"Neipel α={res['alpha']}\")\n", "\n", "plt.xlabel(\"Time\")\n", "plt.ylabel(\"Susceptible Individuals\")\n", "plt.title(\"Susceptible: Classical SIR vs Neipel Heterogeneous SIR\")\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot Comparison: Recovered" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 5))\n", "\n", "plt.plot(t_sir, R_sir, label=\"Classical SIR\", linewidth=2.5, color=\"black\")\n", "\n", "for res in neipel_results:\n", " plt.plot(res[\"t\"], res[\"R\"], label=f\"Neipel α={res['alpha']}\")\n", "\n", "plt.xlabel(\"Time\")\n", "plt.ylabel(\"Recovered Individuals\")\n", "plt.title(\"Recovered: Classical SIR vs Neipel Heterogeneous SIR\")\n", "plt.legend()\n", "plt.grid(True, alpha=0.3)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "\n", "Key observations:\n", "- **Smaller `alpha`** (more heterogeneity) leads to:\n", " - Lower epidemic peak\n", " - Smaller final epidemic size\n", " - Faster depletion of susceptible population\n", "- **Classical SIR** overestimates both peak infections and final size when population heterogeneity exists" ] } ], "metadata": { "kernelspec": { "display_name": "venv", "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": "3.12.10" } }, "nbformat": 4, "nbformat_minor": 4 }