{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [],
"source": [
"%display typeset"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Les multiplicateurs de Lagrange\n",
"\n",
"## Exemple: \n",
"On considére la fonction $f(x,y)=(x-1)^2+(y-2)^2$. \n",
"Parmi les points $(x,y)$ sur le cercle $x^2+y^2=45$, on cherche celui /ceux où $f$ atteint son minimum/maximum."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [],
"source": [
"\n",
"var('x,y,u,v')\n",
"f(x,y)=(x-1)^2+(y-2)^2\n",
"r=sqrt(45)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
"Graphics3d Object"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cm = colormaps.Blues # There are several names predefined\n",
"def c(x,y):\n",
"\treturn float((f(x,y))/170)\n",
"S=plot3d(f(u,v),(u,-r-1,r+1),(v,-r-1,r+1), color=(c,cm))\n",
"C = parametric_plot3d([r*cos(v),r*sin(v),0],(v,0,2*pi), color='red', thickness=2)\n",
"CS =parametric_plot3d([r*cos(v),r*sin(v),f(r*cos(v), r*sin(v))],(v,0,2*pi), color='green', thickness=3)\n",
"show(S+C+CS, aspect_ratio=[5,5,1]);"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [],
"source": [
"df=f.gradient()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Voyons le probème en termes de courbes de niveau et du champ gradient de $f$. Rappelons que $\\nabla f(x_0,y_0)$ donne la direction dans laquelle il faut se déplacer à partir de $(x_0,y_0)$ pour avoir la plus forte augmentation dans la valeur de $f$.\n",
"\n",
"Ci bas, on trouve les courbes de niveau de $f$, ainsi que le champ $\\nabla f$ et la courbe $x^2 + y^2 = 45$ (en rouge)."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"Graphics object consisting of 3 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Champf=plot_vector_field(df, (x,-r,r), (y,-r,r), color='darkblue',aspect_ratio=1)\n",
"Contourf=contour_plot(f(u,v),(u,-r,r),(v,-r,r),cmap='Blues',labels=True, linestyles='solid',aspect_ratio=1);\n",
"Cercle = parametric_plot([r*cos(u),r*sin(u)],(u,0,2*pi), color='red', thickness=2,aspect_ratio=1)\n",
"show(Contourf+Cercle+Champf);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La courbe de contrainte est donnée par par $g(x,y)=45$ ou $(x,y) = x^2 + y^2$ est la fonction de contrainte. C'est donc une courbe de niveau pour la fonction de contrainte $g$. Cette fonction a aussi un champ gradient, $\\nabla g$. Dessinons les vecteurs de ce champ, mais seulement ceux qui correspondent aux points sur la courbe."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [],
"source": [
"Pts=[(r*cos(2*t*pi/20),r*sin(2*t*pi/20)) for t in range(20)];\n",
"Pts1=[(1.1*r*cos(2*t*pi/20),1.1*r*sin(2*t*pi/20)) for t in range(20)];\n",
"Vecs=[arrow(Pts[j],Pts1[j],color='red', width=1, arrowsize = 2) for j in range(20)];\n",
"Champg=sum(Vecs)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"image/png": 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Jonr174Wv73hFEhSvhSoSrmm/QLz55jqh0YwWERGTxfLlymVaz5t3VPj7TxBeXt+IqVMPKHbhjY/PFK1azRSSFC1GjNgiHA5lFLbTKYt3390oIFr07fu7YqJJCNfdv7v7ONGs2TSRmpqnmN2sLKto2nSa8PefcP0Buxx88MEmIUnRYvXquJJ3ePTRSxEEEMLLS4hXXxVi377r2t2164KQpGjx+efbFfXX4XCKGjV+EL16LVTUrhBCvP76GhEYOLH0A2opRIIQQixffkpAtDh8OLWCHl6J0ykLiBbjx+9W1K4QQrRvP7v0d/qrVgnRt+8lManTuX6OGnXVrv/3f5uF2TxW5OXZFPV3xYpTlRK9OnMmU1gs48TAgSsUtZubaxNRUVNFePgkcfGicmOF0ymLvn1/F1rtaMU/i1GjtguIFi+8sEKx8VgIIebPjxVm81jRoMEUcfJkumJ2S0IVCTcgJiZJtGo1U0C0eOyxxYrd/Scl5YhHH3WV2DzwwG/i3LlsRezabA4xdOgGAdGiU6dfxYULFZ9+KGLq1ANCrx8j7rlnhiLTGkVs23ZOeHl9I6KipoqkJOXsXriQI8LDJ4mIiMmK2rXbnaJNm1kiKGhiyZ/D008LERwsxJtvChESIsTzz5fa9osvrhQWyzjFzocixo7dJSQpWvEBZdmykwKir18KKctCWK1CZGcL0bixEAMGCJGTI4Tz2oPmsWNpAqIVnTISwvX9gGjx7bcxitoVQoiAgAninXc2lu2gRo2EaNdOiGefFcLHR4ivviphl59F797KluEJIUTHjnNEgwZTFLtjLqJ370XC13d88ZSoUjz33HJhMHxV9rLb6yDLsnj99TUCohWP0hTdWA0Zsk6xG0FZlsVHH20REC169lygWPnk9VBFQilwOmUxefI+4es7Xri7jxPTpx8SQgiRVWCv0B9flmUxe/YR4es7Xnh7fyNWrTqtkMdCLF3qmn4ICpp4RZ18ToFdOCvg88aNZ4Sf3wQRGvq9ovOMu3cnCj+/CaJevZ8U66Egy7I4HJsmfH3HixYtpl8/j6CMxMdnCh+f8aJbt3nXPwfefdeVj2AvXfQlOTlXeHt/I/r3L0MIvxRkZhYID4+vxVtvlaGGX5aFSEtz5VJs2CDEr78K8c03QgwbJsQrrwjRt69wdO0utknhIjGolhB16wpRo4YQ1aoJ4e/vCqkbDCWH1YseBoMr0lKliuvYyEghmjUTzjZtxGpqi5MN7hXiiSeEeOYZId54w3Wn/fPPQqxcKcSBA0Kkprr8LCX5+XYB0eKHH64f1SkrKSm5AqLFzz+XMjdDCCFOnnR9BvPmXWeXdAHRYto05S5gQgixY8d5xS+MQlyKAP34o3L5DUIIMW3aQQHRYuJEZfohOGVZ5FkdxdMio0fvUMRuEf/73wbFp2hlWRb9+i0VEC3efXejopGJ61Hea60kRCW1QyslWVlZeHl5kZmZiaen5z/ynqmpebzzzp/sMgm8Ijwxm7QIICzQA30F6pfz0gvY8vMR7u5XF89As2L+Zqfm89fMWNq92ACDWY9Ggho+RuyyoJqHAU05S5KSzmazfGYsT7/dFK1OuUKXhBMZ7Fx3lkdebKBIuVQViwl/s5E9h5M5vf8ivZ5Uppa6iM3rz6DXa7i7bcg19zHv30O9hzpyfOZistt0KJXddStOE1zdg7oK1pUDrF1+iog6voRHuErdJJsNfeI5DGfPYDx7BsNlD+PZM+hSktDYK6/1slLIBgP2gCrYA4NwBAZhD6yCPagKtsCq2MJqUFAjAkdAEEgSTqfMlvUJ1K7nS9UQD8V8KChwsGPLOeo18CewiuXGBwCBk76m2thR7N9zEtlc8jH5eXb+XBNPq/bV8VSolwtAXq6dPxYcp9eTddEblOv2l51lY9GvR+k3MErRLoWpyXn8Pv8Yz75ylyJjQ67NgbtBx97jqaxcfJKez9ZXwMtLHN6VRMKJTLr1qaOo3Y2LT9Gujj/9+0feeGeFKO+19l8pEopo99UWdDoJN6MOIQTV/d3RVUKTE6UJ9tTjZdIhAR5GbblFwu1AsIcbPiZXCZAsBDftZBWCBm0bkdWxCwmffnVTXJCsVoynT+B27Aim40cxHT+K27GjGONPITmVaYQkG03IBiPCoEcYjAi9vvC1AaE3IBsvPXf5VICmoABNQT6agoLC1/nF25TyqwinxR1rjQgKwiOw1qyFtUYt8mvXpaBWPYTpOuWslUjdhzthr1KVU5Nm3pT3/zejwVWqLoTgbHY+mdZbXwwX0a/ZtW9KKoPyXmv/9atAGgvVt6+H6bYQCD4mLV4ml6hxN+ruWIEgAdU9zXga9YhCcXBT1awkkdG9J75L5pPw8WjQVOK5IgSGcwmY9+3G7eihCokBh48vtirBOPwDsAcE4vDzx+4fiMM/ELt/AA5fP5yeXjg9vXF6eIJO4SHBbr9CNGisBWgzM9AnJ6JPSnT9TE5Cl5yIITkRXXIi+rSL1zSnzc3BfHAf5oNXdsAUGo1LMNRr4HrUb0juXc1wBAQq+//5G/rzZ7Hs283p5yZX6vuolIwMSEKgkSRCPNzQShJpBZWzQNS/lX+1SDAaNGgkCb1Wg6eb/ma7c0OMOokgD5efbnotukpYrORWQAOEellwN+hubvTgb2Tc/zBBP03Esvsvclu0UsyuJjsLy/49mPfuwhKzG8veXehTk0t1rGw0UVCzNtaaEdhCQrEGh2ILKXwEV0e2uCvmZ7nQ65H1emSPMoQ3bTZ0qcnFIsKQeB7j6ZMY405iPH0CY0I8knxlwzFJljGdPIbp5DF8/lhYvN0aEkpu4+bkNmlBXuPm5DVopGjEwXvF78h6PZmduilmU6VsCFxRRo0kUc3DDa1GIiXPerPdumP414qEY8k56Avn4f08jIr2Oq8MJCDE05V/oNNIGBVu63qroJEgzMuCRa/DKQvXf/wWIbdJC2xBVfFevqT8IkEIjKdO4P7XZiwxu7Ds3YXpRCzSDWb9ZKOJgojaFNSp7wqv165PQZ16WKuHg1a5uehbAWEwYK8Wgr1ayeFYyWbDcCYOU9xJjKeO4xZ7BLejBzEdP4rGduVdpLEwL8N36QIAZL3eFWVo0oLcJi3IubsN9qrB5fbVe8USsu/thOx5k1boUwGuFApBFhMSkKwKBUX414oED5MOp1PgZdFjMtz6H0OQux6jToMEmPWaW17UlAeNBOFeFsy3oEAAQKMho9uD+KxYwrkPR0Ip/wb6xPN4bNnoemz7E8OF67cRdnh6kXdXM3KbNCevYeM7VgyUF2EwYK1VB2utOkCPS79wODCdPoHbkYOYD+7FvHc3lv0xaAouLWuusdux7I/Bsj8GfvkBgILwmuTc05bsVu3IbnUvjsDS9fjXJSfhvnMb8V9MUPK/p1JOLhcKgRYTkgRJuapQqCi3/tWxkqjqaaJWNa9KW+teSTwMGnzNrj+VWa+5I/MQtJJEuJcFN70WhyzfsiIoo/tDBE6bjHnfHvIaNytxH21mBh7b/iwWBqZT117sSeh05NVvSF7j5q6weOPmWGtEVG7Owy2KBGg1ElqNhEYjoZFcSWkaieJzXir+x1V7WfRTIJCFDrlBA/IjI8nt/QROWeC02nCLPYxl7y4se3djidmJ6eSxK97XFHcKU9wp/OdMAyCvQSMyO3Ylq2NXchs3v6Y48161FDQaMrvcXwmfhkp5uFwoBJhNgERSrjJrqPxbuWkiYeLEiUycOBGnwtnPZeVWvRgVodNAVU9XJrlRK1WoRPNW5XYRCAA5LVtj9/PHe/niK0SCISEerzXL8VqzDI+/tiA5Sl6ZUDa5kdOiFdmt25HTsnXhHLkyK9/dymg1EnqthEGnQa91PXRayfXQaNAVCgOlEULgDG2Ds1NrHLIg0ym4mJaGdudO9Nu2YNqyEbeYXVeUiJoP7cd8aD9VJ4zG4e1DVrvOZHXoQlb7+3D4XSpn9V6+mOxW9+L08VXcb5Xyc6VQMCIBiapQKDf/6hLIwQuP/KPvVx5CvQy4G7VoJXA3aG/pC2h5uHyK4VYXCEWEvvcG7ls2Ejd+Kl5rl+O1ahnmowdL3FdoteQ2bk52m/Zkt25PbpMWCKNydfK3GlqNhEmvwajXYtRpMOo1GHVatKUUAEWVLAgKK1pE8fMrd6Q4olBkWSoMM0iFz0t7LoncXMTWrbBuHbrVKzHsiyl5P0kir1FTMu/rQea9Han3aFcSPoomtf/AUr2Pyj+LxKUIVEqe9ZaLKKglkCoVxsekxd2oRRYCD4PutriAlgUNriTF20YgyDLuO7ehS07CdCaOeg93LHE3a/UwMu+7n6x7O5LTsjWyu3LNfm4lNBKYDTrcDFpMeg0mg/a6kS5ZCGRZIAuXGCj6KQTICCrjduVywSAVTlsU/SyaxpAsFqQuXaBLF+RRoyhITES7cgXS8mVo16xCynQtCy8JgWXfbiz7dlNtzKcIwHA2AeOpE1hr1lLeeZUK8feIgiyEWvVQDtRIwi2KXisR4WNEo5Fw02kwKtgR8VZAwiUQ3A23aJJiEULgdmgfvovn4bN04TWTDnPvakZmlx5kdHmAgjr1S53UeDuh00pYjDrMBi1mgxaj/uq5+qKLf5EgcF4mDG5VJCjOgdBoJLRSUU6EBHY70vZtaJcvQ7NiOZoD+0u0kVc/iowHHib9/kdUwXCLcXlE4UJOPhfzb40+CrdLJEEVCbco4d4GzAZXLwTLHVbNIAGhnmY8jPpbViAY407is2gevkvmYTp14qrfywYj2W3ak9HlfrI6d8ceVPWfd7KS0UjgbtJhMboehhKEqlMWxQ9ZuH7eKRQlUmoKkym1GgnNmTNoF/yGdv6vaHbsKPG43MbNSX2iP+kP9lZLI28RLhcK57Pzb4mGS6pIKCXlcdxmc6JX4MJ5LZHgdMiKrmVwObJTRnOD5ENfNx1VPFwXUG+TrmzzubK4of3yUhrfS0OIhxveJsMVjZKKws6VkbwGIMvihrY1uTl4L1uM37wZeOzYetXvhU5HVrvOpD30GJn39SieRpBlUaY58LIihPjHbBt0GtxNOjxMrojB5b8TwhUZcDovCYMbDR7/pO//hH1JAp1GQqvRoEs4g37Rb2jnz0Oz46+rjpdNbqTf/zAXH+9Pzt1trqhYuRm+K0Vpvku3ov3LhUJCVp7iLZzLOoaVVSQ4nTLaCoy/5RUJt2UMOy/PzkMPLaRLl3kMHbqRWbOOcOTIRZxO+cYHl4JjG8+xcNg2ts04StyuJAqylVOd+Zk2/hi5k23TjnDuQCpO+5U+G7QSge6uVBF3Q+kTvsB1kfpjeiw/f7GLozHJyArf1SWdzeG7D7dxeFdSuUtHq1hMeJsMlxLULmPClzv4c018pZSl7tp+nrnTD5X4mZj37ib0ndeIalmX8P+9eoVAEJJE9t1tiR85jv07j3NyylzSez1xRZ6BEIJvR+/EWlByRUNFWfrbcVKS8yrF9vmz2RyOSSbAw0jNQAu1gtyp4mXCYnTlwDhlgdXhJM/qILvAQZ7VidUh4yiFQACYO6vyonVLFh7Haq2czzw1NY/VK05ftV0IsDsFBXYnOVWCyXjlDTLXbybn6ClsX0QjN7qreF9NQT5+C+ZQp++DNOjQhCrjo9GfP4sQgvkzKu9z+X3+MZITcyvF9pGDqfw+P7ZSbCeezyF6xFYcdmXG8cvJSC9gQvQOzp/NBlxrwlj0yqTk5WbZWDE7lumj9yhi73JSU/OYPHk/Dz+8kEOHrt2uvDK5LSMJANnZNh54YAGbNp0t3max6JkypRtPPFG6VQKvN90Qs+gk26YdLX7tU92d0MYB3P1UXXTGijW1uRifxYL3t2HPd6A3aQmO8ie0aQDhzQJpUMsLSwWmGRwOmZGD1nFsXyo+gW7c0yWUe7qEUrOBryJ3Fr//fIRfJ+wjpKYXnR+vRdv7w3GzlK6ltb+bkSrurpa4JbVbPhGbRt8ev1E/yp+X32pOq/Yhit0NOZ0yvTvNxdfPjWGf30utUDM+fywkYNoPWPZd/eXOr1WXi4/3I/3hx7FXqXZD+yM/2MTRg6lEf9+FoKrKtkJe/ccpfhi3mx/mPIiPnzLlknqthJdZj0WvxXJZS3JROGVgdwocslzhZMKWjX5m/u+9CQ1TfipYKx3pAAAgAElEQVSx/xNLeOnVxrTrEKq47REfbCIwyMyrb5TcC+NaaCUJw4G9mKb/jG7OLKT09Ct+LySJ47VaMtu9LT3nvgd6ZdvBL5kby4ToHazc0V/RSIIQgoVzjhI9fCszlj5CRB3lyj7tdpnZUw/ww7jdDHqrOU+/2Egx2+kX85k+eT/zph8mslEA3896oDBp1SWAT2fmUOAouygRQnDiwEXWLTjB9tUJ6HQaRv3aHf9SrhwK144kpKTksXDhcebNO8b69WdwOgVTp3bn2WcbltnPy/lXRRIAPDwMLF/em06dLg0Q3t5GzGa9IneiTXpF0PzxSwlI6Qk5+Nf0rLBAAPAL86Tb/5oiaSTsBU7idiZx+q9EgvxMWAxaZFmUu6uiTqfh9c/b4OlrJD05n+UzY/l44BqWz4xV5HO5v39dIhr6cfZUJr98sZvXeyzmly93U5B3/dCdt1F/XYEAUKuuL4/0qcehfSm8/uxyBj62hB1bzinit1arod8LUaTtieVE9xeIaFKX8LdfvkIgON09SOn7LEcXruXI6r9IHvSfUgkEgM49anBoXwr9ey4kZseFCvt7OXUj/Th1PJ1X+y8jM6P8ZVwaCbzNesL9zdSu4kGgpwmLmx6r1cGOHRcuRQtsTuzOigsEm83JmfhMJozbVTFDJZCTbePP9WdYtzpecdsXzucwdfI+Ei+U/W7cKQT5De8i/YuxXDwWT+60WTju64ooagYlBHWO/8XwmDFE3RtFla+/QJecpIjfi349ysfvbCSyUYCiAiE/38Hwtzfw2XubqF7DU1GBELMzkX4P/sbXI/9Cr9fSu68yy8BfTMlj3MjtPNh2Nr98v4+CfAf/Hd7atWIkrou8VuPqz2LQaJDLoBOOxiTzft8VfPT8GjYtjcNudfLM0KZlEgjXIjU1j379/mDQoNWsWROP0yl45ZW7KiwQKsJtKxIALBYDS5c+Qvfu4VgseqpWtdCz50LatJnN+vVnKmy/RZ86NHqwBgAmDz1rv97H6rExZKfm3+DIGxPaOID2gy794XOT8qjm46qftxgqtvyzT4Abr41sjVQ4VWGy6AkMcVdk4NDqNAwacTf6QrFkzXfQuE1VTOZr3xFZ9DqCPVx3wDdasOnlIc2xFC5itW93ErOnHuBsfFbFnBYC961/8t8/RxLHSN6T1+KZn1H867zIKOK/GM+BHbEkjPqavCbNy1yd0PTuanh5G0lLzWfQU0uZO/2QYtMmIWGeuJl1HDtykdefWU5OGae/THoN1bxN1KnqQTUfN8yFS6M7nDJZuTZCq31L+zYz+WnyvhsbKwNnz2QhBMyefpgL53MUtb1uTTxWq5N1a5QXCWOjd1BQ4OTChYr5LBtN5PZ6jLQFS0k/dJzs9/4PW/Clmxp94gWqjR1JVNuGhA8djOn40etYuz4LZh3hk3f+RAhocJdyK1/Gn8rg2UcW8ccCV9fQ7g8pU7nhdMqM+XgrLzy+hJOxrmjLE880wOJuUMT+7r8usG7FaQryXdNRjz8dSe16l8SNjEso6DQawrzN6LUS2RkaTh/Rs/gnD87HXXsqos5dAQQGX4oWtugUQpv7wxXxW5IkvLwu9VG5556qjBvXSRHb5eW2FgkAbm56Fi3qxYABkezY0Z+FCx8mO9tGp05zue++uWzffr7ctiVJos1z9al/X3UeGNaStgMjOROTwuzXNrBjzjHsFZyDjuwSStPeETR9NILnPmuF3qDl7PEM4g5WfO4psnkQT7zaiBr1fahR34dx/93MlJHKzJtXC/fk8VeiMBi1+FUxM3HYNg5sTyxxX6NWQ6inGUmSSrWio6+/GwMHNwFcCUBWqxP/QHP5HLXb8f1tNvW7t6bOUz3xX70UbaEHdjRsr9WBo3NXcPSPTVx8cgCyufx3Anq9hvZdwgBwOgQrl5xk7y5l7hA1Gona9fwAOLQvhf88v4L8G0RuJFxRgxoBFmoGuuNtMRSHWAvsTnIKIwZCck3dAQx/fxPHYtMU8RkgPs4l7mw2JxO/3q2YXYBlv7sqTmKPXORc4TyzEsSdzmTmL4cASCpHJOFa2IOr8+SBxpjODWZw7aGk3tsNUZjIKNls+M6dQWSXu6kz8Anct/5JWcI4v808zGfvbyp+3aBRgCI+Oxwyq/84RUbapehVlwcjFLGt1Wp4/rWmBAS5vttGk5Y+zzRQxDa4xu6kC7noDRq8fIwMeuvqaSMZOHpQYs1iI3Oi/fnydX/+mO7B/O89+WqIH/YStHh+rp2vh25m98Zz1Ij0xcvPxPPvt1DkBmzVqjiion5m5co4PvzwHoKCzMyf/xAGw81ds0URkXDu3Dn69++Pn58fZrOZxo0bs3u3soPC9TAadUyceB+SJNGrV2327h3AzJkPEB+fRatWs+jZcwH79pVu6d2/I0kS7QdF4RfqQaMHatBvYgfqdwll9/wTzHptA7EbziIqkCB491N1adM7ghp1fJBlwappR/jkhbVMHbWLvJyKJUw++Ew9Hns5iqHjO/DUm43ZuOQ0H/ZfRdzR9BsffAO6963D/U/X4+NpXQmt7U30fzaycs6xK+6etZJEmJcFrUYqMVHxWvR9LoqWbYIZ+1M39u5I5LUy3j1LBfn4T5tMgw5NCX/7ZdxiDxf/zuoXyBeW+3mqw/e0O9OTTXKYYj0NOnavgbuHAaNJS3B1D5q0KN1CQaWhTqRf8fPefeuRlVlyUxitRiLAw0jtKu5U83HDzeBqxmVzyORaHeRaHdgccvHfQpIkTG6F64KY9Yz6eCt2uzKt0uPjMoufz/j5IMnJylx0bTYna1bFFb9euzrumvuWldGjtuMonKMuz3TDtVizMo6U5DwEGr49HsDkhz7l4v5Y8t/6L8LrUpmk+9qV1HmqJ5G9OuKzZD5co713EUIImt1TjbvvDS4+jSPvUkYk6HQa7rk3hPS0fELCPGlwVwDVFcotsRY4eOeV1eTm2Hm0X30e6VNfsXybhXOO8v7ra2nToTrDozsw+L8t8PK+cnnwk8c0vP2SGxPGGNm6SUubdjJDPswn6p4C3L1kXhiWjv5vQY0L8VkMf3Y1B7YlMvizVrwwrAUvfNgSD++KdVDNz7fzn/+so1u3+dSs6c2+fQMYNqwV8+Y9RHDwzW/Eph0xYsSIihhIT0+nZcuWREREMG7cOIYOHUqLFi2oUqUKvr43nruyWq18/vnnvPfeexgr0K72ciWn0UhERQXwyit3ERrqydy5sXz55U6OHLlIo0YB+Pu7TsZlR1NLZ1sjoSksidQZtYQ1DSSidRUuxmWzd9EpzsSk4Bvqgbt/2U9yrUYiIsjsamer09D6vlCMJh0r5hxj4+JTBFSzEFyjfLXWkiRRJdQDSZKo3cifJm2rsXPdWZZOO4rRpCWioV+5FbCkkajfLBCTm57W3cPIvFjA4p8Ok5aUR6NWVdFpNYR7WzDptK4GO2WwrdVpaH9fGLXr+dGoWRVm/rSfrRsT6NSjBibTtcOAmqxMAn/6lhqvP4/vH4vQZV+6SOU0bcm59z8hYdTXFHToxP3PNGXH5nPMnXaY9l3C8fE1XdNuaaka7IFfgJmWrYOZ+u1eatfzpUYtnwrbBUhJyqX7Q7XY9mcCvv5udOt5ZdjXqNMQ5Gkk2McNi0mHRiMhywKrQ6bA5nRVI1xDpa1dFUeNCG+EDIuWP1ahMqvLWb70JF7eJk4eT+er8Z0xGLRUrVbxpM7dOxMxm/Xs/OsCXXvUQEKiQ+ewCtu1253oDVqSE3Mxm/VY3A08/WxDRe4SI2r5YC1wsG51HIMGNyE01JPItrWwdexM/ouvIAID0cUeRcpynbO6pER8li8hYOEc1/LW9RqC7upzX5IkUlPy+GbUDl79bwuqVfe46twoL7k5Nl7t/weBQRamLngYXz83IupWPB/B6ZT54M11/LXlHGN/7MaDj9alXkN/PDwrPtUw7Yd9RA/fyv2P1ObTrzsRVtOLBncFXFWWmHhOYtJYEz162RkyzEqt2jIx2wxMjnbnidczadGxgII8CZtVIi1Zy/F9Z/ny9T/R6TS8+20HGt5dBS9fE1UrIJoaVfNk795kunf/jRUr4vj007b8+GNXfH3d0Go1hCmc7Fvea22FqxveffddtmzZwqZNm268cwn8E82UCgoc/PDDfj77bDupqfkMGBDJ8OGtiY4p/1REEfF7ktky9TAZ53KpfW817nm6Hh5lEAtB7nr8zDo0EnhcVpeedDabKSN3cWhHEs06BPPM0Gb4ljfsfhnWAgczv4ph3YKTRN1ThZdG3I1POcRNSayZf5zp0Xuo2cCP72Y+gL+nSZF2y/t2J/L6s8upFuzBtzMewPdv/upSUwic+h3+0368QhgAZHboQuKrQ8ht2foqu+lpBTzXexGyU/Dzwl5X2S0vQgheG7CcIwdTmLvy8fJPl1yG3ea6gE2M3sH0yftZtKEPVaq5Y9Jr8Pcw4nlZhYLDKWMrLFMsDVmZVjasO8OLzyxjw/Z+1I/0v/FBpSAn28a5c9m0azmD2b89TKcu4YrYBVcoPNh3PF981ZFnBkYpmqh3V90f6dmrNu992AqTm04x0dStwxw8vQzMW9yb7CwrHp5/G6gdDowL52P5Ziy6v60f4agWTOLgt0l5rP9Va3/85/kVHD9ykQXrn0Sn06BTqMfL/w1Zz5o/TjFjaW9q1lZG7AohiB6xlV9/OcRnX3ei+8PKCBohBBOjdzL12730ebYhb/9fqxv2K9i5Vcsn77rRuYedjl0dDHnJjf4D7XR9OoO4s06+HeaLwy6RdNZGVtppGrbcx+CRrSscOQBXz5kLGxIZNmwzERHezJhxP82aKRd5LImbVt2wZMkSmjdvzuOPP05gYCBNmjRh8uTJ19zfarWSlZV1xaOyMZl0vPFGU06deoHPPmvL4sUnqVPnJw6vrnhyY1jTQJ4c2+6KfIX43aWb2jBqJXzdXPNNbrorqxmCQjx4d2IHXhpxN7ExKQx9fJki0wRGk47n32/Bm6PbcvpIGu/3WUGaQjX49z1Wm3cmdqBz5zD8PU3ICjV0uatZFSbN7klyUi6vPbOsuNeBNj2N4FEf0rBtFFUmjikWCEKSSH/gEY4s/ZOTP88vUSAA+Pia+GZqD3JybPzfkPUV9rMISZIYHt0eIcM3n1/dZKc86AvnJZ9+6S6MRh2bVsZR3c+NmoHueLq5KnrsTpncwlyD0goEAE8vI527huNm1rF00dXdJcuLu4eBGjW90WolRXMdgOIpAa1O2W6kKSl5JF7IJapRABZ3g2IC4dSJdPbuSeKJPvUBrhYIADod1sf7kPbndtKXrsLetfulX50/R8gHQ4jq1JSAWVORbK7pt0P7ktm87gwvv9Uck0mnmEDYuiGBPxYcZ8iHrRQTCADLFh7n118O8dawexQTCADTf9jP1G/3MuitZvx3+I0FghDQorWTrybnsW6FntefNfPgo3YGDraRGWfhw/5BuFkEXn67yUqbhadPGLUa9VREIABMeH8b77zzJy+91Ijdu5+udIFQESocSTCZXGHaIUOG8Pjjj7Njxw7efPNNJk2axIABA67af8SIEXz00UdXbf8n2zJnZBQwduxujnrp8K+h3HsWZNvYs+AkTXtHYPK4cegszNuAxaBFr5GwXCc5JTOtgBWzY3l0UJRigwBAWnIeW5fH88CAeooNtO4GHWFlSFQsCydi00hJyqNNYw+CfpxI4JRv0eZcSlqT9XrSevchadCbZeqfv393Eu6eBkUHQ4Dd289To5aPYhEKcHVE1DsEYYVzlS5xILA5nBVeHyFmdyL1G/hfd0qnPBw+lEpYuBeWUvbTKA2yLDh9MgP/ADNeCg3cRXbjTmXg6+eGt0/Fp6CKEEJwYF8KEbV9yvQ56GL24P7FpxiWLb1iuyOkOhcGv01K76fY9lcKLdtUU0zQgGtKYP3KODr3qKGoCLMWOFiz7BQP9K6jmE1w9UPYvD6Bno+V3q4QkBCn4X+vuJFwWkOXB+0M+cDKi33MBIfJvPJ5MnHH00k4kUlWWgNOHDTw2khlxO7ezefpWNuf+++vqYi90nDT2jIbDAaaN2/O1q2XutS98cYb7Ny5k23btl21v9VqxWq9lHSVlZVF9erV/3VrN3gatYR4uVoTe5t0FSp5rGyqbN9IalRzHJbrZ/8btBoivN3RapQXCOBKSAz8eRJB341Fl3mphFE2GEl96jmSBr2BvWqwwu96a6DTuhISvc16V623guJA5dZHt2c37p9/gmHFsiu228PCOfvf/yP9wd43fVEx3YVzGC6cI69py5vqR1mYPtnA7/P0zFqWy5nTGiZ8aeRsvIbfVueRY3MQl5mLrQDmjPdCCIlnhmYghDIf9e2ydkOFpWfVqlWJjIy8Ylv9+vU5c6bkUL7RaMTT0/OKx78NSXLlIgCY9RXriVDZSHY7nV7rz6PdmlB7/nQ0JdUF4WrUE+ppLnMlQ6mQZXwXzKFBp+YEfz68WCAInY6Ufs9zaGMMZ0d8cUcKBEmCAE8jtYLc8bEYkCTJNa1gdVBgVwXCvwVH02ZkzF1E2vqt2Lr1KN6uj4+jxuvPE9n7PiwlrDfyT6DJyqTq6E+IatOQ2v173RQfysvTL9qYuTQXnQ5ycySOHdby2df5OGWBWaejisVEwkk9h3eZCK7pKju+hYfrSqHCIqFNmzbExl7Zy/vYsWOEhVU82/hOxd+sQ691LU1r1N7aZ5zQ63G4mdEV5NPi8/d5qNe91Fg6H8l5ZZlcsLtbuSoZboTHlg3U69me8CGDMJx3teAWGg0XH32KQ+t2kfDZ2DtSHAB4uempFeROgIcRjSThKMw5yLep4uDfiqNZczLmLSZt3RbsHS412THF7KLuEz2oNegpjCeP/yO+aPJyCfr2K6JaN6DKxDEgy+TXVqZj4j9JUamjn7+Mr7/Aw8u1Mq1GA/kpJn4e5YtfFQf3PeYqib25Cxn881RYJLz11lts376dkSNHcuLECWbNmsUPP/zA4MGDlfDvjkOvkfAzu+Z8/56seKtyMfIuBK4GPebkC7Qe8RYPPtaRoF2uOxdfkwGvwkWblBIIhvhTRAx8ktr9HsZ8aH/x9swOXTiybDPxY77DFlpDoXe7tTDqNIT7mwn2dUOv1SDLgjyrKyHR+W8boVRKxNG8BemLl5MxfwnOBpc6t3qu/IPIrncTOmwIuoulK/EuD75zZ9CwTUOqRX+MNicbybX8ITn3tK209/wnyM6CmJ1aZBlW/aFl1IcmTHoNwya4ksZl56VIwr/lq1hhkdCiRQsWLlzI7NmzadiwIZ988gnjxo2jX79+Svh3xxHo7so/0Glcj9uBjNr1EVqXsJEKvxmeCaepPW8abjpt8ZoMSnxnpPw8qn71GZFd7sFr7Yri7XkNGnF85mJO/jyfgnrKdWa7ldBIEOTpWo3RbNQhF3VHtDrKVK2g8i9BkrB17c7FzTvJnjAJuUpV12anE/8ZP9Ggc3P8Z04BpzLNsYoRgqrjo9GlpxWPBwCSLFNwG0YSiqhWXTBsVAHjPjPxTC8LU78z4h8gM2VuHtU9zcgO0BTml8uySyzk5UhkpmlIOKFssu+txG27CqQS/NOJi2a9hnAfI0IIPI26Mi0DfTOp9dsMWo56H+kyGXDs0f7sHfJ/1KgaiEGrqXgUQQi8Vv1ByMfvYTx3KZ/FFlSV8++MIK3XE6743x2Kh0lHFS8T+sLqFbvT1QRJlQYqpSY3F/eJX+M2Nhop91K3yLxGTTjzyRjy7irbipbXQ5ecRPibL+Cx9U8uH8WOLllPXqOmir3PzSA9TSLxnERAkMDTS2AygtMpkW23cS7n0ro9iWd0fPehL0KAtUAiuIadN74offXDvyZxUaX0FCUrGnWa20YgAGRG1EFCIDQanHo9skbDyYeepEqAnyICwXjqBBHPPkbEoH7FAkHodCQO+g+H1+0irXefO1YgaDUSwT5uVPczo9e5phZyra68A1UgqJQJi4Wcoe9zce8RbH0vRXLN+2Oo26sz1d9/E22GMiV8jsAg0h96DAkQkqZ4lcuCCGVLG28GPr6C+lEy/oECg9G1xoNWK/AyGvAyusbwY3sNfPR8AEGhdgb8L4PhU5LJuKjl14l3XiL+nTny3oJ4GDW46V0XAZOCvQ7+CTJr1sGpN5DSsAlL560jrV4U7Ya9jo8tH7kCAkHKz6Na9MfU794Kr41rirdnte3A4RXbOP/ex8iWirfxvVVxN+mICLTgVbi8ubVwasGpTi2oVAA5qAoZk6aSsXwtzkjX1JwkBAGzptKgYzP8fp1GmdZGLgHjiWOEfPQuqU8+TeyiNdiqhVAQHnHHfV8zM2DMx0bsDtd9SjV3NzISdfzwsQ9RrQp49ZN0akXZMLsLmrbLJ+XsnTftcHtdrW5jAgsbqLjpNbd0yWNJ2Dy9WfT7VtZM/o2ckHB2fv4tpvSLhAwbUm6bHls2ENn1HqpMHIOmsHucrVoIp779hRPTF2GtdfvfkVwLjQTVfEyE+pnRaTU4ZUGu1YnVoWRdiMq/HVube7m4aQd5I79EuLsu3rr0NMLeeZ06j3Ur99LUktVKjTeex141mLPDvyDvrmYcXruT2AWrlXT/lsDLGwKrCnZtd1VuaTUSs8f4YnYXvPrJpQ641gKJtCQt3v5OZNmV4Ah3RnKjKhL+AXzctBh1GiS47aIIRRT4ByG0WiTAp0EkZz/9Cp9Fc/FZMKdMdrSZ6YQOHUztfg9jTIgHXJ0SE18dwuE1O8i4v9cdXYjsZtC6lm42G4qjB7lWB/KdMJqo3Hro9eS89iZpuw9gf/yJ4s3ue3ZQ74F7CZo4+oYrTf6d4M+HYzoRy+nxU4qXVxcmN5y+fjc48vbk6Rdt3N3WiQwc2Ctx+riO97/IAS4FZOKP6tm/zUTVcAcazaUER2vB7T+W3Z5XrNsICQgwu6IIptuk5PF6BFpMuOm0pD78OBd796X6h29jPH2yVMd6r1hC5H134z93RvG27JZtOLJiG+eHDi8ecO5U/D0MhPubMRTmHuTZ1OiByj+Ds2ow6T/NIOf3Fci1XVE6jc1GcPQn1OvVCbcjB0tlx3PtCgKnfse59z4hv0GjynT5lsTbV+DrL6geqMes0yJJcO6Ua/ohvK6dzo+6EkZnjvVi4ge+jHvbj41LKr7A281EFQmVjK9Zh66wcZLhFm+cdCPMOi3+bq7OI5IkkfBxNPaAQMLfeL54wZmS0GakEf7689R8+Wn0KUkAON09OPPZWI7PWYo1ovY/4v/NQqeRCPM3E+hpQpIkbA5ZzT1QuSnkte9E2pad2Ib8F1GYDGw+uI+6D3WgyrjPr/s91iddIOx/r5LZqRspzw76p1y+pdDqICcL1q/U4yW5sfkPM1M/98EnwMlro9LIzZL4eGAAe/40EVbHxr09c5n5lTfrF96+N0CqSKhENJKruyLc/lEEDRDi6Va8cBOA7O7B6fFTcDt6iGqjPy7xOI9N66jfrTW+v/9WvC2zc3cOr/6L1H7P37FVC0WYDVpqBlqwFPY9yLe52imrqNwsZJMbGSNGkrd+E3JhS32N3U61caOo+3An3C5rXlaM00nYWy8hdHrio7+9o6cEr0dQVcFn3+QzfbKB1/t78OdCD4Jr2nl3oqtx1ffDfcnO0PDZrGQefCaHNj3yeeK1TI7tM9y2+Qm35QidmprHZ59tZ9KkfSxbdooDB1LIyChAqZYPJ7df4NDKeM4dSCU3rfx2/cyuXggaydVpESA9NZ9Vvx7jaEwy+bl2RfwtQgjBX2vOcHhXEraCss0z3ogq7iYMWi0F+Q7yL7OdH9WE80OHE/TDeDwuq1CQ8vMIGf4/aj/9CIakCwA4PL04/fWPnPxxzlWtlIUQbFwdR072te9kKsLJY2kkXcipFNtOp8zh/SlXbfd1NxDmfyk5Mc/mwO4s+7kUe/SiYuf238nMsHLxYv6NdywnCWcqbyn4swmVZ1sIUam+nzpR8WXfr8WF8zmkpxXccL/cJi3I2LwD2zvvIbSuSXTzkQPU7dWJwB++uaICImjS13hs28TJL7/jwPnKOReFEOzYeg6btXJE9PGjaRw5WPEulPUaysxZkcOnYwuYNL2AQe9mczEphzFDBMf2GfhgUgomN4EQ4HTA2ZN6JKn8uio+PpOZMw9z6FDlddC8HrdlvYa/v5kuXcJ4+OFFJCZeahri7q5n5Mh7ef31ijXzCGsSyKqvYtg4yTVPpzNp8a5qwT/ck9bP1i/VMtBaCXzdro4i+Pi7YXbX89mg9SAEQdU9CK/rQ3g9HyJbBFEz0rfcfkuSRK0ofz4euIbMiwVENPSjXtMA6jcNpFYjf0xu5ftzW/RafN1cy/HOmnqAyeP30KpdCB26htO2UygMHIzHpvWEv/0yR5ZvxXA+gfC3BmE6damHfNa9HYn/cuI111mQJAmdTkP3u2fQtWcEj/SpT8PGAYpFX6oGe9Cn+3zadg7luVcaExCkXPhPq9Uwb/ohzBYDrw1tgdmip5q3G16FuSg2h1yh6MGJY+mM/2oXX024D8N1lhQvDzq9huf6L+XXhb3Q65W1DfDRsE2Mn9QNt3Kee9dj8nd7GTioMaFhytem/zY3FgRUD1Xe9l/bzvHb3Fi+HNvpxjuXkZjdiQx9az0rN/Qp1f4OnYGsYR9heeRRjC8+j+bAfjR2OyEjP8Rr/SrixnyPPvEC1cZ8yr5eL9H701SGRysrEmRZsHF1PD9N2EPL1sG0bK3cWiyZGQWsXHKSJfNisRY4mbbkEUXsGk0y7l55eHpZKEiSeK7/LuBJXvkkHW9/GdnpSl5MuaDlQryOBi2sN7QJrs/i8OFUNm06x6ZNZ9m8+RwJCdkMHtyYp56qr4jvZeWmRRImTpxIZGQkLVq0KNfxLVtWZefO/jRpEli8rehmKyurdH+Qa6Ezauk+tCmRXaoD4Chwkno6C6O7Hn0pBzvfwiiC9rIoQhFtH6jBKx/fg6SRSDyTzfbVZ1i/6CQ+gW4V8v3D9U0AACAASURBVBvAL8jMuxM7YHbXExuTwuKfDvP54A3MHrcXRzmS5CQg2MOVeCMLQZ/nGhJRx5d1K+L4vyEb6NJsOq88vZxtb0WDENR5vDt1e3cpFgiy0UTCiC858cuCGy7E1KZjKD0fq8PiX2N59pFF9OnxG3N+PkhWZsX+ngBmi54X/9OMX38+xMPt5jDm462kJudV2G4RTwxowJyfD/Lms8sJMhuKex/k25wVnl5o2646v82N5anHFivyWVyOxaJn/95khr+/SVG7RcTsTuLnH0sIX1cQIQR//H6SDWvjFbedm2vn0+FbyFT4swZXBOGZPksJUlCkFrHot2P06jGfqLsC0JShWZssIDuyEbmb/8Lx36HFjZE8tm2ifrdW1HihD8e9a9FiYQ28fU1EXTbmVgSnU2blkhP06TGf/w5aRWpyHgNfb6KI3a0bE3jvtTV0azmDL/5vCydj0xn5TSdFxOr8GYfp2mIGD7Wbw5m4TAKDLHz0dTsCqwuqhLmiwxqtq2XzvG+9SE/R0qNfNnDjkshjx9IYMGA5r766htmzj5KQkM2AAZF8803nmzZdfdNEwuDBgzl8+DA7d+4st42QEA82bepD796uxLcGDfz4z3/WERIyiTfeWMuxY+XvLqbRamj/chTNn3DZNph17Pv9NLMGb+DAsjjs1wmJaS6LIhivkYvQunsYr33WGm1hMmNSQg7j393C0ZjkcvtcRNUwT4aO74BbYW8GSXJ9cfLKEcoPspiKuyoKwGjSMfqHrgQEuYSD0ykIreFF1WB3bFWCMcWdLF4hMrdRE478scmV5FTK3IM33ruH8AhvAE4cTWPBrCPEHrpYZr9L4oHetYlsFIDV6mTWlIM81G42U7/dq0gov35UAE/2r8/ceb3w9TaRmWklNT0fu7Pi1Qte3kaaNq/Cpg0JPNR9HufPZVfY5uUEBVn4adI+Zs84pKhdIQTJSXl8M2Yn2RUU7n/n4P4UEuKz+H/2zjs8iqqLw+/M9vReIIUQSOi9C0ivIlKkCmJBPkXFhohgL6CCiAjYAEEQpShY6B2U3nsoCSEF0nu2znx/bBJAKcnuRojZ93ny8Ozu7MnNMDP3d88595wtmxwvEubMPEhyUp7DRUJ6eiHDBq4mM1PvUO+HLMt88uEexjy2Fr3eQree1W2yUygoyHv3Q4wbNiOHWhdIytwcNBlp7E13QYHEyKcaOmTMV5PzGPHgL7z+/BYunLWGXl6c1ApXtzt7ae+EZJFJiM9h89pYTEbr/Tfu9ZbUrO2YLZot21ZFpRLRF5p5d8J2ACLDfTEWipgM1ud53BkVP37uyan9GibMSkOlvtbv4VbIsszJk+lkZl4LFfXrV5N583qUSfQ5mgqZk3A9rq5qli9/kEmTWvH55505d+5JnnyyPgsXniQ6ej49e65g7dqLSDZkkguCQIshUdw/ph51e4TTf0ob/CI82PntSRaP2cKBFecw3CSvwEf3z1yEm9GiSyjPf3QfoTU8ef6j+8jLMvL+6C18/Px2Yk/bVz61Wi1vXvq0HSqNgu5Do9mzIZ5X+v3B+h9jsJTSo6BTKvAt2s1w/Tf8A1yY/nU31GoF4dU9yVy8ipD7muN68igAsiCQ/Nx4zq7cWOaiSDqdkvc/64hCaT1vCfE5pKU6ZsUvigIvv9m65LWPr44Bw2s7RKG7a5V8801Pgqu4ceJEKt06/8QXMw/ZdN3djA6dwgA4fTKdXp2XccqB8cmAIOuq9tUXtnJgX7LD7GZm6DEaLWRk6Jk765DD7AKs+c267Xbn9suYHJgImpiQy+yZBwEc6rXR682MGvobsRezAQir5hiRUFBg4qnH1jJt6l4AtFoF7TuE2mzPaJbIb92OwgNHsQy+FrIYwWEOqefQuZpjcoYCg93oN+Sa+7xpy2C69Yl0iO2sTGuIofjea9spjMGP2t8UTpJkli44wZCeK5Fl8PXXoXVRYZEkImpI9B9s4t0nApj2gi/fvOtNYqyK12an4RtksYYfbjPbHj2aQqdOyxg48FeqVfOkb98adO0aztKlvVHe5do6irfffvvtuzkAg8HA1KlTmThxIhqNxiYbgiDQqVMYQUGu+Pnp6N49gueea0xoqDsbNsQxc+Yhli49gyxD7do+aDTWVf6aM6V70AbU8MI/wgOvKm7UbFuFyDbBFOYYObEmjuNrLmHIN+ET6o5ap0QUIMRTjSgI6FQiyjusoKtU8yC6kT91mgXSeUAk/iFu7NsUzx+LzpBwIZuQGp54eGttOi/+VVwJq+lF+z4RdOpfg7Qr+fyx6AwHtiZQJcID/yq3L6Ea7ulqbVV8k5V2QJArVau6MMm4jglnvsbFYlW/Oe5+XFrwIxmDR4LCthi3f6ArCoVIm/tD0eqUzJt1mNxsA83vq1riebGVoCpuXLqQhX+gK3EXsti7M5HOPSPQaG13Q/q6qanirUMhCmzbGs/D/VdxNSWft95vR4CD3MpqtcgP358CoEmzQOrW9aNadS+H2N6+JZ7Tp9KxWGQ2b4ij38Ao3EqRd3MnYmOzWTjvOADHjqYw/NG6uBTladjL6+O3k55WiNFooX3HMIflDkx4cSvHj1qTUKNq+dCjl22r8uuRJJkXntnE1s3xJRPXhMmtcXfAOc7LNaFWK/jj1/MAdOgczpDhdewbrwxmtRpxwEAIDUPYtAHBbMbfkoPfyh8whoTZ3Yn1h3nH+eTtv+jauzppKQV8NKcLvn721xPY91ciY0esIStTz/Svu3ElMY8PZnZCZ+d1d+liFi8/tYFflp6h50M1mPFtd0wmiRcntUKtUSIATZrLVK9fiNbbROvuBXTsl09wuLUCo3iTR2GDKh6kphbw8svbGDNmI7IsM29ed6ZObY+vr47x45uj0znmfgHb59r/fBdIWZbZvDmezz8/xO+/X8DVVcWoUfV49tnGfH7qql22c1MKOPJrLKc3xSNJUKtjCL2fqkt4sCuiAO5qhU2rVJPRwrZVF1k17yQ5mQba9q5G/9F17zipl4azR1JZ9PFBLsVk0bJrKMPGNcI36J8Tma9OTbCbDrMk3fRvUGRmUG3ck3ju2Fzy3n6/RvRO60t0pzpMntLOruRAi0UiK0OPj5+OhV8eZfYn+2nYLJCpX3TBL8C+h0lyYh7ZmXoKC82Me3wtVUM8mP19L3z8yp4TEuihwdfdesMZzBamfbyXNm1DGff0BvR6M2u3DsHf3/6Hn9ks0a7590TV8uHPnQns2j+CoGDH1Ml/e9JOVq2MITkpj983DqJmlDdeNgrT69m2+RKPDPoVk0mi9X1V6flAJGPG2h9zPn8uk273LyU/z4RWq+CpsY2Z9NZ9dtu9FJfNjE/2sWpFDJIk06V7NeYvfsBuu8WP2P4P/Myl2CyysgycT3jaYS7kp0atZfPGOB4eXIs69fwY+Xh9u23KsszUd3czZEgtGilTUQ4ZhOLsta65qcMeI+Gtj5DLuLCTZZk50/Yzf/YRHh5Rh/Fvt+HA7iRatrWvI6IkyXw39whzpx+gfuMAps7uQkCQK5kZerx9bL+WLRaJJfOO8+X0A3j5aJk8pT1tijw1sizf8GxUFG0PP5+Zh/EOYUazWSJzdypvv/0XZrPE66+35KWXmqG1Y7FyJ2yda//zIuF6Ll7MYvbsw8ybd4LsbAPtRtelfs9qdtstzDZw7I84zmyOZ9J33fDw1eKiElEr7HMT6QvNbPzpHL8vOo2+wMx733cjrKb9q0fJIrHllwusmHscs0lixq99cPe6drOrRIEaPu4lF/3fLxDdiaNU/98jaBKKOjYqFCSNf5Mro59j45o4pr6xC62LktXbhqByUDb+3l0JTHxuMyFhHixc9ZDDknhOH09l7Mg1NGkRzLSvupXpu1W8tHi5WleDepMFo1nCZLKgUimIvZBFz04/0bd/TT5yUBZ73MUsXNxUtG32PU+Oacirk1rf+UulYOf2y0TX9qFVo4VMmNTaIRM5wP69ybi5q+jW/kfe/6g9jz7hmAp9l+Ky0WqVNIj6lo8+7Ujd+n40b1nFIbYz0gtpVGseU6Z3QKtVMmBQLYfYTUrMpVWjhUyb2ZmAQBc6dA53iN2Ysxl0aLWYj2Z04uEhtcjLM+LniBX5niT6dFvOlE/u59nnmqLUF6J8/lmUi74rOSavcXNi5y7CFFT6c79pzUUmPLOJMS80ZfS4Jg67j3+Yd5zp7+1m+JP1eW5CS1Qqx7joP31vN0vmHWfAsNo8P7HlbT1sIlavdp7RTFx2/i2PA5g5fhf7tyYwYkQdpkxpR9Wq7g4Z7+1wioQykJdnZPHiU+ySzHgGOy7L2F0hEOqrBVnGU6t02A2Qn2vkr7WX6PJwDYdmuOZmGTi+J5k2Pard8H6ohwueGtVNW0D7rPiBsEkvIhqs4QWTrx+xX3xHXut2JcekpRQQcyq9RHE7iuSEXLIy9dSu7+9QuxfPZeLuoS6150MAqvro8NBZz5HeZLlp/YOTJ1KpHunt8O1/589lUj3Sy+HJTFeS8xzmnbie/DyjQxLSbsbfV3OOwGAwI8s4fFWXkpKPl5fW4dtYz55JJyrax+Hn4cC+ZJo2D0IQBHQqBSqliLjwO5TPPo2oL7r//fyt93+rtqWyKUky+/5MpFU7+zwHf6ew0MzBPUm07RjmULvJCblcvpRDi/tKty1TAERB4HJOAdmGW9fBOX88je61AmjVyjHitjQ4RYINjP3l9J0PKgM1fDWoFSI6pYimgjZyclMpqebl+g+BIBiNhLw3Ef/vvy15L79RMy7OXXTHrY3/JQQBwnxdrBUUZRm90YLZWV7ZSSVAqxJRKxUIhw+jGNgPZbx1Z4msUJAw+UPrLqZKWomxmGKRYJIkzmXkcrtHw/CmjhVKd8LWubZizmT3IO4aa3hBoGL3aAhys8bvrr+2FVkZ1BjZ/waBkDr8cWJ+WlNpBYJFstZAcAoEJ5UFvUnCYLIgN26Med9BCjt2AUCwWAh9ZwKhk14Ek2OryFY0ZKzeLZUo4u9if17PvYBTJDgI36IeDWqFUGF7NPjq1GiVipKaCACaC+eIfqgz7nusxXYktYa4j2dz+YMZZU5aqsjcTCA4GzQ5qWwYiquH+voirF1H9rhXSj7z/2EBNR7tjyLLvu3bFZ1iD6yvTo36P9CbpuL/BfcAOqWAi0qBJMsVNsygEAQCXG70Irjv2kp0v85o4y4CYPILIObHP8gY9MhdGuXd4WYC4WbbQp04qQyUlBlXKNBM+4S0OfOR1NacE4+/dhDdrwuai+fv8ijvLrIsIwpCiWe2IlMxZ7R7DJ/rOj2KFdSLEOCqQSEKJV4Ev8XzqPHoAJQ51uIvBbXqcWb1Fgqa2FZGu6Lyd4GgdwoEJ05u6EfiNvoxrq5ej8nPmlCsjb1AdL/OuP21/W4O8a4iYRUKHhoVruXQE+XfxCkS7EQpCnhorBeBxs4tj3cLjULER1tUWVGSqPrhZMImv1RSXjmrS09iVqzDVNWxuxUqAiE+uhsEgsUpEJw4AW4UCt5dOnBlw04Ko62FnJTZWdQc2R+fFT/czSHeVYqfFEFu9vfkuZtUzFntHsJHZy2YpBQFFHexvrY9BLpqEQQB2Wgk/OX/Efj1rJLPro5+lotfLUFyK/99vPcaVby1uGtVSJJ1m6NTIDhxciNGszWZEcCvXhRJa7aQ3ak7AILZTLVXniZw9rQ7dzb6DyIDFklGp1TgpXFc5cR/G6dIsAMB8NJdS1isiLgoFXhoVAh5uUQ8MRjfX34CQBZF4j+YQeKkD2wur1yRCfTQ4OWiLqmD4ExSdOLk5hjMEkazBUEQCA4NIHnhMlJGji75vOon7xH65itgcVyPjYpCcfQ50FVLxZwhKnCr6HsBD60CpSggcPtGTvcygW5aFOlpRA7rU1JiWdJouTj3e9KGP36XR3d38HVTl5Ra1puc2xydOLkTepOEySIhCgKhAe6kfTidxAlvl3zu//23VH96JIJef2sj/0FKtkQqxJJmeRWNCt0q+m5zp3bQ9zruaiXeyQnUGNAV16PWLn1mD0/OLV5Fdnf7a9ZXRDx0SgI9rRnJt6qk6MSJk39SaLRgtkgoRIFQP1cynn2JuE+/QlZan5NeG34n8olBiPl5d3mk/y7FTxB/Fy0VcS3pDDfYiFZp7fIoyXKFDTWEJ1ykRv+uaGOtbXeNQVWIWb6O/OaO6QlQ0dCpFVTxtiYZGYp6MThx4qT0FBTVD1EpREJ9XcgaMITzC5ZjcbGWPPf4czs1RvZHkZ11l0f671HsTVCIAn66ildbxikSbMSrqK67RlExtz2Gnj9J3WEPoEq1dsIsrBHN2ZUb0Efb12a2oqJSCIT66KwlVS0SBqdAcOLEJgqMZiRZRqtSUNVHR267TpxbvBqzhycAbgf3UnNYH5TpaXd5pP8e1wosaVBUsPnCKRJsQBDAU2tN5quIXgS/owdo8+TDKLMyAchv2JSY5ZVziyOAKECorwtKhVhSLMmJEye2IctQYLDWE3HXqgjw0FDQpDnnlv6OydcPAJeTx6g5uBeqq8l3ebT/HsXehIqWm+AUCTbgqVGgEAVEwVonoSIReOAvOj87HGVeLgC5LdpwbvEqLN4+d3lkd48q3jq0RRUzC4zmuz0cJ04qPFLRriAAP3cNnjoVhXUbEPPTWoxFraV1588S9XAP1Jcv3c2h/muUeBNcKpY3oUKKhNxcI5cv55CWVkBenhGzg13D+Rl6jIVmbtUg06vEi1D2hEV9gQl9Qfk0QZFlmfxc4y0/Dziwmw7jHkVZWABATruOnF+4Esm9dB3BCm9zTuxFlmWMhvJbwZtu4R3wc1fjoVMhyTKFBotN27klScZiKb/wREW1DdZzUxFtl7f98j7v5Wm/tM9bs0UuqaEQ7K1FqxIx1IgiZvlaDKHhAGji44ga1BP1JWvpd0mSHf48vx6DvvwWAXq9+Y7nXZZlFELZvQlms0ROjsGe4dmMYxum/0toNAq++OIwn3yyv+ShrlSKaLUKXnmlOW+91cYu+zlXC9gw/TAFWQbULko0rio0rkpcvLX0GNcQlwAdsq0Ji4LA12/v5dieZLx8dXj76/Dy0+LlpyOqkT/NO9rePlQQBE7uvcr30w/hE6AjMMydoFB3gsLcaFZ4ng6fjkVpsG5Byu7Ug4tzFiJrS19bXF9oZtxjaxFFgdr1/ahdz59a9fwICfdAtNOjIggCSxccZ9+fSbRsV5VWbUOoWdvHYbtGkhJy+fT9PXTqUY3OPavj5q7GVaPAv2iro8GOYkmCAJMn7KB5y2Ae7FcThYMrb65fG0tBnokBg6MdvotGr7cw/+tDPPdiM4faLWbhvGOMerJBuez++XnZWfr0q4FG4/jH2Nkz6VxJzuf+jmEOt52Sks8vy2MYM7axw22npRUw7cO9vPl+W1xcHHsdJlzOYc7nh+jUJZwu3SNK9R2DWUIUBVQKkRAfF2JT8zGGViNm+TpqDu+L9kIM6uREIgb0YnLHD4lX+jHxg3YOG3Nmhp6De5LY/1cSMafSmTy1HZFR9ntNMzP0xJxK4+ypdGJOpXP2ZDo9+kby+B3+TyVAgTU3wSLJ/yjAd/FiFkePpnLxYhYXLmRx8WI2Fy5k4eur45df+uLh8e8nPgpyeS0NS4mtPa4Btm6NZ+TItSQkWF3noijw3HONGTy4Fi1bBt9x4hr7y+lbflaYbWDTzKNcPpJa8l540wCGvd6MqoEuKEUBN7VtRYZkWebX+adY8eXxEpGjdVXy7sJuVKlWtnNwM84cTuHTl3ZSkGv1WLQgni3Kb3E1FwKQ06k7F79cXNKUpSxkZep5ZvgfnD2VXvKep7eGqV90ocV99rWNlmWZ9ybsYPWyswD4+OlocV9V7usQSo++NewWIr+vjOGtl7eh0SjoP6QWs7/oik6rvKG8rK2cPpVG5/t+oHqkFy++2oKHBkQ5TCwUFJhoGP0tHTqF8/GMTnj7OLZpTLvm3zN0RB2eeb6pQ+0C9Ou9kjFjG9OjV3WH2x7U9xeefbEp7Ts4diK3WCT6dFvOC680p1tPx447KTGXgX1+5plxTXnk0XoOsyvLMqtWxjBp/HaGjqjDG++2dZjts2fS+WLGQX5efpZ294ey9Oe+ZRZ9bholoiiQqzdxOd36HErYG0OTpx8mJCPO+lrhw+Vf16OpG2XXeJMu57J0wXH2/5XEuTPWjpQajYI5S3rTqFmQXbYtFomP3viTlT/cOHc8N6EFo55uVCobIpBnNNMiwgv13xoCxsZm0b37Ss6dyyx5r1evCH76qQ9ubvblMtg611bIcEMxHTuGcezYowweHA1AvXp+fP/9Kdq0+YFq1b7m5Ze3sndvsk0ucp2nhgcmN6fFsCgEEZRqkeST6bgU3Rwx+6/e1rV/OwRBoO8TdXlxeju0rtZVkD7fzKTh6/nq7T1cOJFul1u/VuMA3prXBd8gF5qQwHq+KREIue07cXHOIpsEAoCXt5a5P/Smdn2/kvd8fHXodPav5gRBYOIH7WhzvzWBMiOtkC1rY6kS6m63QAB4YEAUDwyIwmKReeqJBui0SmJiMki+Yv++7dp1/Hj0iQaci8nkmSfX077FYlb8eMYhrlMXFxUPD6nNr7+c4/5Wi9m6ybEx3HoN/Hln8i6+mXvEoXYBCvKMvPHadgoLHevmzUgvZNeOy2zfEu9QuwDfzD3Cwf1XcPTqKS42mwd7rODC+SxatKriMLtXkvMYNex3/vf4OjIz9Yx6soFD7B7cf4VRw36nfYvFLFt6GoVCYMq0DjZ5hYp3PLhrVfi5qdmx+RIjntpNk4xHOUkgACGWDJqMGYAq8bJd4w4OccNgsJQIBIVCYOrsLnYLBIDCAjM+frobnkcvv9m61AIBrN4EF7XyBoEgyzK7diXw4ovbOH/+mkAYM6Yhq1f3s1sg2EOFFgkA3t5ali59gEWLejJ0aC2uXHmatWsH0KVLOPPnn6BVqyVERHzD+PHb2L+/bIJBEAWaDaxJ70lt8KxalbGLu+EdoKMwz8RnL+3k2e6rmDXxT47sSsJiw2TQpH1V3vmuK0Fh7rw4rS29R9Ti2O4rvDVqI2+M2MDWVRfQ2/hwrVrdk1lvhLBJ/BYvrCGGxLotif1mKUdOZpGeWmCTXQBPLy1zFvembkN/fP11WCwyo/qv5uWnNnAhxr5e8iqVyEdzupSIEIsk8cYLW9npoMlgwrv3Me2zTrRqXZWsLD2//noeDy/HuPBefb0VPkWr/PPnMtm54zLJSY4pHPPIKOuq8+qVfIb0X8XEl7dS4KDclvoNrd37Jk/YzsJ5xxxis5j8fBPxcTnMmXnQoXbXr72IxSKzdbNjBVPcxSymvrcbcGy7gXMxGfTtsZzLl3Lw9tZSo6a3Q+wu++E07VsuZt0f1ph+rz6RhIbZ742UZRlJkjhz6to2xedebEZEpJdN9iSZkvwEfw8NNSO98fDSkIobnRhDin9RjkJCPDUf6YsyLfV25m5J6tV8Jo3bwsolp9EWLVwmT2lP+y7hNtkrprDAxHdzj/Bgu6XMn3OYVu2sYeGJ77dl2OP1bbZrsUisWHGW1q1/oF27Hzl2LJXPP++El5eGqVPbMXduF5TKuztNV+hww98xm6UbTqjRaGHTpkssW3aWVavOk51toFo1DwYNimbQoGjmXcq4rSqWJTi4wo9LB90QFBYkvYoWXQroNTIHfWYhf66JY+cfcaQk5OHpq6VNj3DaPRBBWM2y3Uj5uUb0BWZ8A10wmyUObktg84rznDqQgoubira9q9F5YA2qRniW2qbnhbN0GTMIbZZ10k5t0pIrS1Zh0uh4qONPXE3Op8/AKB4Z3YCwMti9ntwcI9/OOsSzr7bgt+Vn+XrmQdJTC+nVryb/e7EpwSG2N4VKTy3gmRFr+GBmJz6ctJOjB67SqUc1XnmrDYHBbjbbddUoCPN1QRAEvvrqMC88u5m294cw99seBAS62my3mO++PcaEl7ai0ymJrOnNj788hL+/i912AXp3WcaBfdYtY5/M7MSDD9XEy9v+0MPO7ZcZ2OdnANw91Hz+ZTd6PRBpt12AxrXnkZSYh1arYOf+kYSF2z+BAQx/eDWb1scBcPzckw75v5MkmQF9fuavnQkAfLf0AXr2tv88pFzNZ+SQ3zhy6CqyDF26V2PJ8r522wXIzjLwyKDV7NtjvS5WrR1IazvDfmAVCVPf281n0/bj7a3F00vDtj2P2O0x1KpE1EoFcXHZDB36K77+Lqg1CqZMrE30kN4lhd0K6tQn5sc/kDxK92wymSSWLTzBV58dRBQFnhnfHKVCJDvLwGPPlH6V/3eMBgsrfzjNgtmHyczQ07t/TUaPa0J+rokzJ9N48OFom+wWFpg4siWeTz89wMWL2bRoEcT48c3pV5TTtHr1efr2rWHzuG+GrXPtf0ok3A6DwczGjdcEQ26ukbZP1KFB71sn4Oxf5sflI67U7pyFi6cFRYYre9e6kZ+loNeIPHoMzUWlljl3NI2df8SyZ8NlCvNNjJ/Znob32e9OTIzNZvPKC+z63Zq49vGKXqXKWXBNjKfbE/1wSUsBILVBU84uWIG7ny+SLJOWWsBPC0+ybNFJTCaJ9fsewc3dNneWLMslQquw0MyyhSf4bu5R3D3VrNo2xK4wQVpKAX4BLkiSzK/Lz/L5lL3UqOXD1z/2scmeQhSoHuCKSiFy/kImAVXc2Lguluf/t4Fuvaozc05Xm8dajMUi8cSINbzwSnOG9l/FY6Mb8Ookx1Sw/GnJKeZ/c4z4uGwmvtmGkXasYK4nM0NPk7rzcXdXM2VaB3o/6LiHU59uy8jOMjDm2ca0aFWFmg5IGjOZLHzx2UHW/X6BFq2r0KN3JPe1sz3ht5i8XCOX4rJ5ZvR63NzUjH2hqcPEUnaWgY5tFmOxyDz+VEPGveyYnjWJCbl0bLOEng9EcuJYKpt2DnVIkujpU2l0bbeU519qRo0oHzw9NXTuVs1uu3/uuEztKF+qRXiSkWtgmkQkKQAAIABJREFU/dZLRNX2ReeiQpV4meiB3VEnJwLW7dnnF/2MrL1zq+Wfl57mg4k76TMwiudfa4mPn46cbAPuHmq7zscXH+9jwZwjdO1dnTEvNiOihnUBeP1zzxZeG7uJjX9c5MEHI3nllea0bVu13Ev7O0VCGdDrzWzYEMeKqzm4+936AvzxhQjaPn6VkAYFeGgUhHiqKcwVOb3Tjb/WudJtcB4tOheWHG/Umzm0I4km91dFrXFc50R9oZnju5Np3unOxY40mel0e6IfHvGxAKTXacCOuT8SEW69CK/P4M/PM3LiSAot29r/gL2e3GwDl2KzqdcowKF2M9MLyck2EF7dNpdniI8OD50KiySTb7gWxklKzEWnUzksIbCgwISLi4r4SzlUDXFzaALjqRNphEd4Osw7UcyWjXG0aReCVuvYnQJ5uUabBejdRJJksjL1+PjeeYIqLYWFZq4m55GZqadxU/vj48WkXM3HP8CFI4euOtRu7IUsIiK9MJksqFSOe57FXsikQV1/BEEgMaOQ7MJrYTPN+RiiBvVAlWFNjM7u1J0LXy0B1e1bLZtMEmdOpFG/sWOfOWkpBaSnFhBd1+/OB5eBCzEZ1A91p1YtX4favR1OkWADt9vdYDYKbJsbjKuPidYjUgn1VOOqVKBTCygsCn7+2pNLMSqenZKOq/u90QRIWZBP5/8Nxu/UUQCyq9Vgw7c/4101GH8XjTXOeJfHeLfw0CkJ8XGx1pIwmHE2dnTi5O6hVopoVQosksyFq3k3dFp1OXaImkP7oChqBJXx0CDiPv0KxAqfQncDTRwUeistlXJ3Q3miVMuEN83l3E5PTm30wlUtIiqsBZTUWuj3VA5JcfdOmQnBbKLdhDElAqHAP5AtXyzG5OWNj9a6kqusAkEhCgR7FTVuMktOgeDEyV3GaJawSNaOkcF/y6spaNCEC98sRVJbE4p9Vi0j5J0Jjs0kdVJq7ppImD17NnXq1KF5c8fE5sqDmm1zadwvnd2LAnhnUAibl3qQn63g3DE130/zJCjMfG94ESSJ1u+8QpXd2wEwuHuyZdZiCoKq4qVVoRCFcquUWBEI9tKiEAUskuzs7OjEyT1CofFafwdP3Y3hhLw27Yn9YgGywhrmCFj4NQHzZt+NYVZ6nOGGWyBZQCwKw3lZdBxd58neNe7kZIhUiTATHG6m/1M5BIff/Vr/jWd+QJ3vvwTAotawefYSUhu3BCDS2w2d0tqXoDLKBGeYwYmTe5fbhR0AfJYvodr4ZwCQBYGLc78nu4dticv3GhUl3HDv+MvvEUx6gUsH3bhyxoWCLAX+EQYGPlpAz8eyGTQmj7QkJfp8kfDo8um/UFYiVy0tEQiSKLLrwy9KBIJOqajUAkEhCgR5Wl2ZzjCDEyf3HkazhEohWu9VLy0JGYU3fJ7x8HA0CfEEz5yKIMtEvDCamJ/+oKCh46uDOrk5zpyEv/HXwkBOrPMmP1OJVxUj53d5MqF3OD9N8yErVUlgiOWeEQiBB/6ixZTXS14fePU9Ejr0KHntU8FakjqaAA9NSftnZ5jBiZN7k0KjtXGch06F2036cCS/8Brp/QYDIOoLiXxiCOoEx1fadHJznCLhOiwmgZgdHvR4NYHuryTSdGAaT3+WxGNvpZKepGLJp55kppX+lKmz0kEqn8nJPT6Wdq8+hWixhjvODH2CcwNHlnwuCuCpscb5KuMCWqdW4O1qFUn29mVw4sRJ+SHJlIj4IC8t/ygXIAjET51Fbgtr4z5VWgqRjw9CzMkul/EIRiOKrMw7H1hJcIYbriMzQY1nkIm8NBUaNwMKJfj5gH/7AkLCJb5505f9m3R0G5KPLPPPi/k6vE8fpeeIB5BFkeyImmRG1yW7ehTZ1aPIjKpDQZDtVdHUOVl0eGEUmqKbJPG+Thx64Y0bjvHSqBGFypuwGFwUZrBmUVfOc+DESUXBUBR2UCtF/Nw0pObe2BZZ1mi4+NUSovt3QRt7AV3MaaqPfZTzC1aA0sZpTJbRnj+LNuY0upgzaGNO43LyKOr4SyAKHL6QcfuHfCXBKRKuwy/CgF81PYdX+9L1hSTc1CKiKCBLUD3aRJ/Hcti70YVuQ/LveO1k1ayLwcsHTVYG3hfO4hl7DgBRkpAFkd+WbyG3WtmruQlmE21fexqPeGut9qzIaHZ98EVJFnAx3kXbHivj9OjtqkKrtiZDGZxeBCdOKgR6kwUXjRJfdzVZBUZMlhufXhZvHy4sWE50vy4oMzPw2LmVqh++QeKbU2z6fV5//EL1Zx8DQFYqwWJBKFpU5TZt5RQIRTjDDX+jbvdMUs5pmTeyJod/8cVkBI1KwGIWOLhdh6dv6SYdWalk38QpFF9moiQhShKSKJJepwF5IbY1HGk6/R2C9+0CQO/ty7YZCzC73dgjQasQ0akqZ8KiKFgbyIDVi1DZ/n4nTioqZknGbJEQBYFAz5tXPzVUi+TC1z8gFVVgDJw/B5+VS236fXmt22Py8UUWRASzuUQgyKJI/CfO7ZbFOEXC3wiM0jNs1kWaPZzOsc0evNQlnGlPB/LBGH/SrygYNDan1LYud+pJZs3aSNdXChNEdr8xzapcy0jE7yuIXr4QAItKzY5PviG/yj9LNXsVeREqow7299CgFK3JiiaLM1nRiZOKhN5kKUlidFHfvBR0fvPWXH53WsnrsInjcDl2qMy/y+zrx+W3PrJ28itCVihIf/gRDDZ4ef+rOEXC35AlEERo8VAmL8+5wstzk6nfykCfUbm8ND0dd68yTDyCwJFnJyJel7woKRTcP/5JfE6XrSWv95kTtJjyWsnrfa99QGqjfxaiEgAvrVVlV7YpUq0U8XEmKzpxUmGRZErE/a28CQDpQ0eROvxxAESjgepjHkGZmlKm3+W1djVhb7yM5OqGXBxaEASSn3/VtsH/R3GKhL8hFJ0Rd40CFw+JmvVN9Hsylybt9Xj6ln3aTWrTgdR6TQA433cIa37ciMnNnW6PPUStxV+VaveDOjuTdhPGoDRYk3nO9RvOxb5Dbnqsm1qJUhQrZcJigIcGQRAwWZzJik6cVFQMJuv9q1Mr/lGJ8XoS3vqIvGatAFAnJxLx/ONgufPiQCgsIPT1F6j+9Ehy77ufE9sPU1C3AQCpjzyBqeqdG+lVJhwuEqZMmYIgCLzwwguONl1uFM+nsnTN8+SmFpEkUIoC+kI7HPeCwP7XPuBC74EceOUdcsMi2DB/FWeHPk7Tz96n47iRaNNTb/11i4X7Jj+He6J1X3Ba3UYcGP/OLY+vrNsedSoFHjoVsuxMVnTipCIjc82b4O+huWXYVFaruThnEcbAYADcd+8keObU29rWnjlJrQc74rtyKfEfzCB2ziIsfgHEzl1E+kODuPLseAf+Jf8NHCoS9u/fz9dff02DBg0cabbcEYRrYQZBBCTQiCKiCCqFwOr57qRftb1Vamateux5ZwYWnbW9r6RSc3jcZLbM+h7vsyfpNbQbwbu33fS7defPKunJoPf2ZedHX5U0PvnH3wF4VFKRUJysaLLIzsqKTpxUcIxmCUmWUStFvFxv7U0wBwQSO2t+ye6uoFmf4L5j8z8PlGX8vv+GWg92BIWCM79tI2344yU7GIyh1bj02TeY/fzL5e+pyDhMJOTl5TF8+HC++eYbvL29HWW2zBiNpV9FWsxwbpcH274MYsP0qvy5IIDcFCXuOhGFUkAUIOOqkpwMBb6Bjl+dJrfuwJqlG8iMrkun50bQeOb7iCZjyecBh/ZQ/5sZQFHJ5SlzKAiqckt77hpVpayN4KJW4KZVWr0IZqcXwYmT/wIGk9Wb4Od+a28CQH6LNiS9Yq0TI8gy1V4YjepKUsnniswMqj81nLA3XiFtyEjOrNqMPqp2eQ79P4XD6iSMHTuW3r1706VLF95///1bHmcwGDAYrhXKyMkp/W6BYjIz9UyevIsjR1LIzTUW/ZjIzTUyYUJz3n23bansHFjmT+IJF9wDTPhH6ok/4sqSsTWo3iiHQePySEuIY9tP5zCZJF4bbEGlUTDu4/vwC3It85iLycnU8/PXJ8jJuHYOBN0YhtYIZeySeQQe3M2f73+BwcOLNm88X5L0ePypl7jarM1tbXuqrf+dO7fEs3NrPGqNAq1WiUarQK1R0uuhGvj6u9g89pQr+Sz+9hg6FxWeXhq8fLR4eVt/fP11BAa72WxblmV+Wx5DVqaeqmHuVA31oGqYB+4edy4tHVDiRZBu2U027mIW69fG0rhpIPUa+OPicuvVSVmRJJmVP52hYZNAoqJ9HGa3mONHU3B3V1OtupfDbRsMZs6dzaReg/JZQZ0/l0mNmuWzaIiLzaZahGe52C4oMJGeVkhomOOb8FgsEocPXqVZi2CH2zabJTauj6VDp3B0OseWwcnPN7Fz+2X8/HQOHbskyVyKzebY0RTS0woZ8Vg9VCoFJouERhJRKUS83dRk5BlvaePqmHG47d+N55b1qDLSiXjucY4tWIV5wzaavPc8or6QWT3fIeiRkURqdTaP1aA3c/5sBtlZBnKzDWRnG8jJMpCTbSC4qjuDRtZBobB97b1hQxx//ZWIwWC54UcUBSZMaEFkpOOfAXfCIVfRjz/+yKFDh9i/f/8dj50yZQrvvHPrmHpp8PbWMn16B6ZN28+HH+6lsPBaJ8ZDh1KYNm0/7duH0KRJIErlrf/DTm3y4qF3L+EdYkSyQP3eGaSe1xK3xY9fvvDB1eMEMUfTSo4Pj/Li+J4r1G8ZhF+wbULBw1tL/6fqseiTQ+zZcK3++D6xEflPtGfsmg/oObwHOeHVcb2aDMCVpq05+dizt7UrYvUkABQUmPl12VkMhmur6q69q/PIk/VtGnMxAUGuPNA/ivFPbyTh0jVxp3NR8smX3ewSCYIg0LVPJJOe38zMKXtL3vf00tCkZTDvftoRl5u4HV3UClw0SiRZLll53Ixq1b0QRYE+3ZajUAhE1/alcdNAGjUJpF37UCLsuPlEUaBmtA9d2/1AaJgHPftE0uuBSBo1CURwQEGW6pFe3N9qMS1aVWHcK82JruVrt81iNBol77/1J7371uCRR+s6ZLzXM3fWIUY9UZ/6DQMcahfgy1mHGPtCU4dP5LIs89Kzm3j+Zce3sb8cn8OzT61nzLNNHGo3L9fIkkUn+ebLIwwaUouevR2zhS/+Ug6b1seycV0sf+5MoFWbqvywsq9dNiVJZvXPMRw6cIXjR1M5fiyVvFwjIaHurPytPyrVtdCuwWxBp1bi66YmM8946zCqKBI3/Utq926HOikBt/27keu1oC3x7CCCx1VjGN3zASKj7BPxKrWCtavOs3TBiRve7ze0Fv2G1rJLIABERnoxePBvZGVdW0Q2ahTAkiW97opAAAe0ir58+TLNmjVjw4YNNGzYEIAOHTrQqFEjPvvss38cfzNPQmhoqM2touPjcxg/fjvLlp0lIsKT4GBX9u+/gskk4eamok2bqtx/fwj33x9Ks2aBaIoaiFy6BC27FtJ8cCphTa6VWVaKAj4GNxa970d0QwMubrtZPe8UZpNElQgPkmKtk2NQmDt1WwRSr2UQdZoF4Ope9mZKB7YlsGDKAbLT9ajUIiajhJfSyHbtPBrkWSsq6j29WbN0PYUBt1fuHmolYZ6uyLKMBMSez2TS81s4eyq95Jigqm507V2drr2rU6eBv80TQm62gbde3sb2TZcA6yTZun0IDw6K5v4u4ahusb+5NFgsEjPe33PDTTj40bqMHtcUb59/bokK93PBVaPEaLagv41IKOar2Yd5c+KOktdNmgWx6Kc++NvhYSlmxU9nGDt6fcnrKlXdGPdyc0Y9aX+OzuqfY3hq1FoAej8YyQuvtKBBI8dMvAvnHePVF7cyeFhtpn7a0aFelgkvbmHXjgQ27BiK621iy2XFYpFoGD2P199qw7ARdR1mF2DO5wd5Z/IuTl4cjZ+f/ddFMSuXnWHCS1vRapUcPv34DZOhrSQl5vLtl0f5/rvj5GQbqVHTm81/DkOrtW/9l55eyOhH1/DnjoSS92pGefPHpsF4et08J6os/LkzgcEP/YKp6J4Nq+bByt8GEHaT9sluGiWiKJCcVUhm/u2b6+kO7iNqUE8UFjMyMJ9mTPAZwbRvetKgaaBdY74Qk8FvK2JY8/M50tOs3So1WgWvf9COBwZEldlecavolJR8Vq06z/LlMWzdGo+lqNKkIMCECS145537UNvxTC3G1lbRdouEVatW0a9fPxTXlQW2WCwIgoAoihgMhhs+c9TA/862bfF8++1xFi/uTUGBiT17ktm+/TI7diSwZ08yer0ZrVZJ69bBtG9vFQ0vztCRHq+j28uJaN2sF6uHWkGIl5q44xp+/dKH179MJe1KLt9NPcDg5xri7afj5P6rnNh7hRN7r5KZWoggCkTW9aFeyyDqtQykRn2/23owricv28CSGYdx9dBw/4MRpP+yi/eXPYdGtnpHHg8eS3qPXjRuV4XIuj6It1CqIe46vLTqG6osGg0W5n66nzW/nOfNj9qz8Y+LbF0fR16ukSoh7lbB0CeSWnV9yywYJEnmu7lHmDv9AP2G1uLYwaucO5OBl4+W3v1q0ndwtF2q/Yf5x/n0vd0EV3Un5Wo+CoVAn4HRDH+iPmFFLmadWkGEv1UY5RnMtww1/J0vvzjEW6/vBKw34sDBtZgwubVDVqTvTN7JnM+thV0Cg1xZs3kQIaH225VlmYEP/syu7daH9oP9ajJlegeHTGJpaQU0qPktFotM1x4RfP1dT4cJhbcn7WTurEOMeKwe02Z2dohNsE4y/Xuv5KEBUXy1oKfD7G7bfImhA1YjigKX055FFB3jWVk0/ziTXt2O0Wjh2Reb8sY7pQuJ3g5Zllk0/zhvT95FQdHkuXrdQFq1sb0vTDEWi8QnH+5lxif7APDx0bJ2y2C7Q14Gg5lF80/w2bR9pKVaJ9pqEZ78/McAqoa43/Q7KoWITq3AaJY4fzXvpscU5Jv4fWUMSxec4OHY1UzjDwCSld4c/XUHAXXCbBpvdpae9b9d4PcVMZw8moqrm4pufSKJu5BFRlohH8/tSg0bQoxpKQVcOHCF5cvPsn17ApIk07p1FR5+OAqNRsHHH+/n++970a5diE3jvhl3TSTk5uZy6dKlG9577LHHqFWrFhMmTKBevXq3/b6jRAJYL+ybuXsMBjP7919h+/YEduxIYNeuFAoKDLQY1oTLR5pzNUZHna6ZNB2QTs1wAY2k4o+vfMhJU/LSp9aVuCzLGArNaK97eMqyTFJsDseLBMPpgykYCs1MnNuRus3LplpTk/II8hbpOfKBkj4PW1oOYKLbwxzbk4w+38zM3/vge5N8CAGo5euBQhSw3OS/88DuJBq3CEKhEDEaLOz9M5GNv19g28Y4BAQ2HhiBWmObUt33ZyI6nZJ6jQM4fTyNVT+dYd2v5wmu6s5P6wbaZLOYrevjuBCTQd9B0fz43UlWLjlFs9ZVmPZVNwBCfXS461QYzVKZiyfNnXWIbZsv0aFzOJ99so9HRtXjjVLmstwOi0Vi2IDVnDyRhtkkMfHN1jz6hGN2+8SczaBj6yW4uCr55rtedOhsW2nvmzGk3ypSUvKZ820PatV2XDhj7qxDHNyfzGOjG9KqTRW73bHF/LkzgVUrzxJZw5v/OdB1n3I1nynv7SYttYDvf3rQYXYlSWZwv184eTyN3zc8TPUajsnTyMs10rntDyQn5TFoWG2HCbGkxFzatVhMg4b+7N+bzIrf+jtEfBw7kkK3+5fyYL8ohgyvzeQJ21n5+wCCq9w+VOmmVSIKAomZhWQX/NObsPGPi7w2dhPtOocxbFRdhs15Go/d1oVAxoMDift8nk3jnT/7MHOm7ad5m6r0eTiKjt0j0OmUrPrpDF17V8fVreweZIB3xm/jtxUx3HdfVQYOjGLAgChCikTS8eOphId74OFhv8fmeu6aSLgZtws3/B1HioTSMn68hK9vNmcDL+HipeHcLnfO7/Ikdr8bgeEmtDoZpQKefi+DoNDSTz5mk4XzJ9KJrOtrk8u9+UeTiFq+CICMqLqs/241klqD2WTh4skMohrdPLnMTa2k2nWhhtJi0JuJPZ9FrXp+ZR7r7SgsNHM1KY9qDoihGQ2WEgFTkG8iN8dAYLAbaqVIjUA3ZFkm32C2advjsSMpNGgUQFamHlEU8PB0zE2Zlaln7qxDjH6mET4+OoetRgE+en83Y8Y2xsv71tXobOHUyTRq1ym7R+lO3Eq43+sYDOaS0KSjkGWZg/uvODxhsaDAxIfv/MX4ia0cEgooJiUln4J8M3v/SmTw8DoOs3spLpvwap7kZBvQ680EBN45v0utFNGqFOhNFi6m5P/jc7NZIjE+h/AiT4cqKYHa3VujzLWGh2NnziOzb9kXLVmZegrzTQTfwsthK4mXc2ha3YsqdxBHjsQpEkrJsWPQti0kJsJrm05TkKng/F8eCCJUb5KPKsMdhUKiYVMLHt7/3lbCwH276PLMUADMGi1rlqwrdZfIYDctvjpNpWroFOSpxcdNjckiUViGba//FpIkO1QclLddJxUbk8nikByHvyPLssOFo624apQoRIFLafnkG+58z3uvXkHEuCcAMLt7cnrdn/dUNcUmN8m/KE9snWvLpVX0tm3bysOsQ5gxA0aOBHd3iN3nxuFVvogKmewrag4u9+Oxt9Ko10KPu4NXEbdDmZdL63dfKXl9+PlJZWoj7a6uXAWURAG8isI+RvO92aGivCZyp0BwcjPKQyAA94xAADBLEgpRgY+bmnxD4R2Pz+w7EM8t6/BZvRxlbjbVXnmac0t+BbHiebbuJpXubIWFQXhRKHffUn9qdcrigcmXefSb8zTtkcuOlR6I/3L/xKYz3sX1SiIAV5q1IebhkaX+rkYholaISJWogJK3qxpRFLBIsrNHgxMnlQSjWUKWZdy1KtSlTAy//O40jFWsyX/uu3fiv+DL8hzif5JKJxIaN4bFi2HvXvAIMhJ9fw5KjYwsQ6fB2WSlKLhy0bZkFFuosmszNVb/CIDJxZU9b04rk9It9iLcO3q//PEu6vRodFZXdOKk0iDLYC5aFHiXcjutxdOLuOnXhEGVae+hvhxXHsP7z1LpREKPHlCvHoweDdnJag4s98NkEFCIYMlXkZWqJKKW+c6GHIA6J4uW719rS3rwxTfJr1K2mJlbUZXFyrKedtMoUSutXS5NlsryVztx4gTAVBRe9HJRl3phlNe6HSkjRwOgKCwgbOI4Sr1f2knlEwlaLSxYAA88APocJYdX+fDXd4FsmBbC9x/40eHhHMR/KQ7XaNZUXNKsPdCT2nTgwkNDy/R9AXApikVWlku+uNmL0XJv5iI4ceKk/DBLMpIkoxAFPG7TRvrvJL36VknYwWPXNnyWLymvIf7nqHQiAUCthg8/hKGzLtDuiasUZivwDzHR+8lMeo0oey8JW/A/vJeav1gvVJOLK3tf/6ikI1lpcVUpK1VDJ6Uo4F5USc50jyYsOnHipHwpXiCUNuQAILm5E//BjJLXIe+/jjLlisPH9l+kUoqEYjSuEnW7Z9Hj1UR6PZlJnZZ61Kry9yKIRgMtP5xY8vrIMxNu293xVlS2UIOXqwpBEDBbJGc7aCdOKimmogRGl6LQY2nJ6diN9H6DAVDmZBP65it3+IYTqOQi4XpcNdZTofgXtpjVWTS3pKpiWt1GnCvDbobrcS2nbU/3Kp5F7kWTM9TgxEmlReZaAqNXGcuHJ7wxBZOvtXic97rf8Fz/u6OH95/DKRKwurGVotVtryhnjeAed4F682YBICkU7J30EfJtelvcClEArbLy5CNoVSIalQJJciYsOnFS2SkON3qWIS8BwOLjS8JbH5W8Dnl3IkJhgUPH9l/DKRIAndKqDBSiUL7FQ2SZ5h9PRmGy9kU/PfwpsqJsK3fqolIiVKJ8BM+iFYOzLoITJ07Mkowsy6iUIi5lLIGf2WcAOW07AKBJjCdo7ozbf6GSc9dEwuzZs6lTpw7Nmzu+Z3tZ0aqsp0FZzqGGkG3rCN63C4C8KqEcf+pFm225qipXPoIz1ODEiZPrKX4WeJa1Y6kgcPntT5BU1u8FfjkT9aWLjh7ef4a7JhLGjh3LqVOn2L9//90aQgnaouQXRTl6ERT6QprOeK/k9cEX38Ci1dlsz6US5SO4qBUoi6pKmp2eBCdOnEBJ2NFdV/YS+oYaUaQ8/gxgTSQPfXfiHb5ReXGGGwDNdeGG8qL24q9xS7oMQHKLtiR06GGzLQHQVaJ8hOL90GZnLoITJ06KsEgykiyjFEVcbWh1f+W58RgDrR05PTevw2PzOkcP8T9BpRcJogDqola25aURdFeTqfvdbMCarHjw5bfLXBPherRKRaWqj1C8UjA7Qw1OnDi5juKFg7u2jCEHrLUTEie9X/I69J0JCHq9w8b2X6HSi4TiUIMA5VZpscnnH6DUW7uWxQwcSXZktF32KlOoQadWoFJYyzA7Qw1OnDi5nuK8BA8bQg5gTWLMbd0OAE18HIHfznLY2P4r/KdEQmGhidjYrDJ9pyyhBotZwliKPubX439kH9XWrwZA7+nN8TEvlen7N6MyhRpKKiw6Qw1OnDj5G5aiXQ5KhYjOlsWTIHD5nU9KtqEHfjkTZVqqg0dZsbFNft1lMjP1bN0az/nzWUU/mZw7l0VCQi5ffdWVp57yKrUtjaI4afHaexdOppMYm0NaUj6pyfmkJeWTlpwPwLuLuqEubfxLkmg6/e2Sl8eeHk+6pOP8riQyrhaQmVpIZkoBGSmFZKYU0rpHGH0fr3tHs7pb9GuQZZnTx9O4mpxPZnohGemFZKbryUwvpLDQxKQP2+MX4FK6sd+EzPRCYs9nkZdnJC/XSH6uifw8I/l5RiJqeNOrX02bbcuyzPkzGRgMFsxmCYtZwmKR6ds9AoCsbD3asmYxX0d6eiFZGXq0OqX1R6tEp1MiOiDGJEkyyUl5BAThhpBdAAAgAElEQVS6oCoHL09ujgE3d3W5bM81F+03V5ahcl1Z7ZeXbYtFQqEov3VOeY5drzej1ZbP4zc/34RKJaIu49bAOyHLMlmZBkxmCwEBrnbZsVhkDAYLJqMFY/GPwYLRJFGjpneZzrvZIqNSCrhplRSaLJw4kkJSQi4qlQK1WkSlVqBSiShVCgKDXQkIunHs+qjapA15FP8l81Hk5RI062MS3vnkpr+rsMDElzMOolSKuLmrcfdQl/zr4amhTkN/u67JH388w/z5xwkIcCEw0KXoX1cCA11o0MCfqlXdbbZtKxVSJHh5aXB3V7NuXSxbt16+4bPp0w/w++8XiY72Jjrah1q1fIiO9sHPT3fTh+zNPAl+Qa7s3XSZzcvPYdBf8xx4++tY+PFBQqp7UjXSk5DqHgSGuCHe4qII27IG39PHAcisWZvz/YbhKoiY9BbW/xhDUuyNfSKuxOeycdk5wqO8CK3phe4mtclFATS3KL4kCAJe3lp+mH+ctavO3/BZ/cYBHDlwhboNAwiq4mrThOPuqeHcmXTmTj9Abo7x2phEgY/ndsVktKCy8cEkCAIWi8yUybs4cyINgPBqnowaVBuLRUJj5wNVp1Py8ZzDfDfv+A3va7UKPp7RicHDbatXAda//9CBK4x7ZiPu7mqCq7hRNcSd4CpuRNXy4ZFH69klRnJzjQzs8zMBQa60bF2FFq2q0LBxABqN/bevQiEw/oUt1KjpzSOP1sPN3bFt0pcsPEH7DmFERJZeuJeWH74/xZDhtR0uzCRJ5uMP9vD4Uw0ICLR9MryZ3R1b41m04DgjRtWnY5dwu20aDGZOnUjjyKGrHDmcwpFDV+nQKYy3P2hnl90D+5JZvvQ0V68WkHI1v+ingHoN/Fmw5AE7x2zhsWG/s2XTpRve9/XT8ekXXahV27dM9syShAoRN62S1FwDvn46xo5YQ17ujc+ooY/X438vNrupjeRxr+Hzy08oCvLxXzKf1FH/wxAR+Y/jsjINZKQVsOaXG5+vDZsG8spbbWwWCPn5Rg4fTiExMZcdOxIwXOex9vPT8eabrenc2f7rxRYE+S5nv+Xk5ODp6Ul2djYeHh5l/v6ePUlMmbKXX3+9gJeXhkGDojl7NoMzZzK4evVaJS1vb22JcLD+ePNbVj6NanihVAi4qRX/qJOQk6ln7ZKzbFx2Dn2BmejG/hj1ZpJic0rEg0otElzNwyocqnsQEulFrSb+uOkEHhjUGY/4WAC2fL6I5DYdS2xLFom/1sfz81fHSUnMx81TjZunhquXc0u6mAaGuhEe5U14lBdh0d7UbR6It5uaCC83ZFnmdml8p4+n8vnUfez7MxEAV3cV+bkmAHz8dNRt6E/dhgHUbehPq3YhZZrEMjP0zJ2+n1+WnkG6Lk9Ao1VQv3EgTVoE0bxNVZq0DC61zWLMZokfvzvB3OkHGPVYfWbM7MyO7ZeZMH4rHbtUo0fv6jRqElhmu8WsX3uRF5/ZRHq6NUfExVXFY082YNCw2mV+OP2dY0dSGDnkN5KT8kreW/hjH3r0qm6XXYC4i1n07bmCK0UerY9ndOTRJxrYbRfgUlw297dcjEot8vWCXg6ZvIpZ+8cFXntpKz//PoD/s3feYU5V6R//3PTpvVGG3nsXBAULCNi7rnXVta/+XN1dV8W6oruKZUVduysWLCigiDQRkN5hZmCAYXpvyaQnN/f3RyaZAQaYJHeYdj/Pk2dSbt6cSe4953ve9z3v6dMvTja7ADPO/ZIX/jWVcUGcZyfDanXx53tWkJ9nYsVvge3KeirKyy3cfM0Sdu8q56bbhvLqm+fLYjfncA3XXPY9hQV1ANx5z0heePmckL1OFouLmect5GBWlf+5G28ZwkuvTg1JnJqMDhZ9c5BF3xxky6Zi//MXXtSLeW+dH5SHQgCi6ldA3XjTj6xYdsTf1wEMHp7EP16cwqChiae0k/baXNLeeAmAmtmXc3T+pxQX1PH72gJ2by9l17YSyootx7wnJS2Chx6fwPRL+gT0nR89XEN5dg3btpWybVspmZlV3t0t1QKRkTqMRgfh4Rr+8pexPProOKKj9c22fTKCHWvbvUjwsX9/BS+/vI1///tcUuvdSUajg4MHq+tvNf772dk1OBwiF/1lFBdf4VWLMXr1SX/kuloHy784SHiUjtk3D8TjkagstlCYY6Qwx0jRESOFOSaKc024HCLPfnIhM7KXM+HFvwNQOmYiq99d2OSKBrfbw/qlR1n7wxGe/vhCnHY3BYeN5GXXkHewlvzsGvIPG3E5RP7765X0SI4kNTIMjySdNidBkiQ2rSvkzblb+PPfJ9CjTwwZuyvI2FtBxp5ysvZVEhGh5ZdtNwXVqRzMqOSVZzcRl2DguluHsHOr90Lau6OMQUOTeP/rSwK26aOowESkJDBxYlc2bCjk1Ve2sv63Aq64ekDIHWxZqYU/37OCtWvyGTs+jQNZVfzlb+O5789jQrLrs33rDUvZtaMMQfCKhBkzQxcJANkHq7n8om/xeCQW/3I1AwaGJmoaM/+NHSxZlM3Xi68kJjb0DslHWamFF5/byNPPTyY+Ifi6IMfjcLj5+P29nDMtncFDTt35B4LHI7Hg0/04HSJ33jNSNrsAz8/ZwE9LDrNq/Y2yeWw8HokrZ3/Hpt+LuOPuEfzzX+fKEpay2dyMHvQh1dV2NBoVL7x8DrfdOTxk24UFJsYN+4RxE9IoLjZTVWnj+ZfO4Q+3DAnJtschEhtr4OmnN1BRa8dc5+SnRYe4/7FxXHPz4GbN8FXmOoZMHY22shyAA9+v5tP94bw8ZwN9BsQzalwqI8em0ndgPLdfuZib7hzGLfeMJCyIpMlXnt3IV5/sZ8CAeMaNS2XcuFTGjk1l5MgkbrnlZ5KSwpgzZ5J/LJODTi8SfEiSdNqTTRQ95OebeG1bIQO6RiIAMc1wZ3tEz0lDC77Xy4stJMcIXHXdVMIrygBY/vFiqoaNPqVtp0NErRZQNxGL84geyosspKZH0S0qjFiDrlkiwYcoeqiutJF0nOvU7fZQXmKhS/fg41ySJLF7exmjxqX6n3O5PNRWn/h5gTIgLQq1SiC/qI7YeANOp4i5zinLYOPxSHzw7m7i48O4+PK+iG4PEZHydNw2m5v/u38lI0encNe9I2WNm+/bU05lhU3W2T54z4WaGjtJScHnrHQkmtOPBEPO4Rp695XXoyJJEk/9fR3PvxS6B6ExxloHU8Z/xrsfXcSkyd1ks1tVZSMhIYzHHl7NfQ+OkSUUpVEJhOs11FqdFNfYWbc6jwGDE0hJiwzITuKCD0l/0ptcXjd+Ers++AGPBNExDcK5otyK6PaQ2iUw242prrQxvl9skx6CkhIzaQG2uzkoIiEIHl+WTbcYHWoBomSI7/oY/Ok7jPrPiwAUTJ3Bulc+kM1237hIDBo1YgevkRCmVdMrOQJJkqizu1vsc1oq+U2SJIoK6+jW/cye0wqdk5YQNU6nSFmphe7pLXMOy9lmtUogQq/BJXo4VGo+/RtOhsvF4BlnYcjx5hwc/vhbTNMulKWNxzO6x5ntG4IdazvUEshAaYlKizpTLYN9hZNUKvbc+5hstgUaVmN0dMLrV5C0dG2ElsqOFwRBEQgKZ4yW8HrodOoWEwggb5t91Re1ahW6UFakaLUUPzbH/zDt9Rehg0/ITkfnGHFOgq5+3aOcRZQGfv4++jojAEdnXxVy4aTG6NSqTrPzY0S9Z0dU6iMoKCg0A18SdUSISz9rZ1yCdeBQr609O4le80vIbWvPdGqRoPWLBJns1RkZ8NXHAIgaLfv+FHrhpMZ0Fi8CeCstgnd5k4KCgsLp8G0jHxbEPg7HoFJR8vDf/Q/TXp/bqb0JnXqraK3Kt2eDPCqh/9eforN4lyIdvfhqLGnyJfsA6DtJpUWdRoVa5fWYKJWYFRQUmoMvNBkmQxEp44yLsQ4eBkDEvt3ErPo5ZJvtlU67VbRb9MjqSdBYLQz8wpug6FGpyLjtvtCNHkdn8SSE11/koqIQFBQUmomvv9Br1KHnmQkCJQ83bB/dmb0JnWPUaQKToyFjXg4/Qt9FCzAYawDIm3E55m49ZbB6LL7dKjv6qRqmiAQFBYUgEOX0Jlw4C+vQEQCEZ+wl+rfVIdtsj3RakWCuL3upEkLPslXbbQz+7D0AJEFg/+33h9y+ptB1Ek+CQauIBAUFhcDx9RkGrQx9pSBQ+sCj/ocp77wWus12SOcYdZrA7PR6EuTIR+izZCFhVd4qXfnnzcLUu3/INo9HJYBG1Tl+Lt8F3tFrQSgoKMiLxy8S5NnPo3b6xdh7ezeui9qygYgdW2Wx257oHKNOE1gaeRJCQXC7Gfy/d/2PM25/IDSDJ8EfaujgA6dB27DMs4P/qwoKCjLjm1jIJRJQqSi952H/w5R3X5fHbjui04oEuTwJ6WuWEVHq3USpaNI0aurX18qNrtN4EZRQg4KCQnD4+g2dRiXb0vaay6/FmdoFgNiVP2E4fFAew+2EzjHyNMHglCiKTc4Tdn4MCEli4IL3/A+zbr5bhpY1jbaTJC3qNUqoQUFBIXh8IQe9TN4ESaej/M6GPLOkT/4ri932QqcVCSlRegYnh4ckEpL2bCMxcw8A1f2HUDZ2klzNOwFtJ/Ek+C5sj+JJUFBQCAKP5FsKKV+fWXXNTYjh3g3r4r/7ErWxVjbbbZ3OMfK0EAM/f99//8Af7mpyK2i50HaSlQ2+uuuKRlBQUAgGnxdSL8cKB5/NmFiqrr4RALXNSsLXn8lmu63TOUaeFiCiKJ/ua701va2JyeRNv6RFP09b7/HoyGOnIDQSCYpKUFBQCAJPo6JKclJxa0M4OenT90AUZbXfVlFEQpD0W/Q5Qr1izb7mVjxaXYt+XmcIN/hWcHgkqUOLIQUFhZbDN78IaTfIJnD06Yfx3AsA0Bfmd5pSzR1/5GkBVE4HfRZ/BXg3cjpy+Q0t/pkhJVi2E3wXdUdf5qmgoNBy+HISfGX35aTitnv895M/efcUR3YcOpRIKCqqY8eO0hax7RE95GXXYDW7SF+zDENtNQAF0y7CnpAUsn27zU1pfl2Tr6kFIeSqkDVVNmw29+kPDBKL2RmyDa0/1HDia4pwUFBQaA6iKCFJEoIgoJFZKFSfPQ1rzz4ARG1aT1jWflntFxebsdlcstoMFU1rNyBYPB6JrKwqNmwoqr8VkptrYsWKq2WxbzU7ObK/iuw9lRzaU8nh/VV07xvLnA/Pp993C/zHHbr65oBtS5JEaX4dh/ZVcWRfFYf3VVJwxMhf5k0hNT3qhON9XoTmDpQ2q4sD+yvZv6eCjN3lZOypICZOz6c/XB5wW5tqe1mJhax9lRzIqCRrXwUH9lfyf09OZOZlfUOy7Qs3VFRYWf7LUbIyKsncX4nZ7OSr768gIkIbcvstFhdHDtVwKLuaQwdrOHyomotm9eHq6weGbBvAZnNTWGCiML+OgnwTw0cmM3J0iiy2fUiShChKaGR2pyq0PzweiZoaO7GxetQyJjdbzE7efnMnaV0jSe8RTY+eMXTtFiXLOed2e3jo3pUA9B8Y7731j6dHrxhZ7K9fm8+IoUmk94hh5ZLDqA0a+g9KICUtIvQS/Fo172qm8AhHAKh66lUOPPYiA4YkEBEZesi5pMRM797vM3RoIuPHpzJ+fBrjx6cycGACqlbyJgtSK0/RTCYTMTExGI1GoqOjm/We2lo7c+b8zgcf7DthdiwIEB2tJzZWT0yM9+/x92NjDcTE6DEmakjpduKgvOf3Yj5/fTfFR03HPK9SC4wNr2RL3UsAHAnrwk2T5xEZqyciSkdEtI6IKB2jzulCdJyhybbX1Tr4ev4e1i05iige+9XHJhqIjNETGaMjKkZPZKyOyBg9g4cmccM1g/B4JKRTnCeSJLF2RR6vvbCJooJjvRIxcXq6pUcTlxBGXLyB+IQwYhMMJKVENHtwr6qw8sbcLfy06NAJr405K43E5HD/rVffOKacl94su762G9wSfXrG8sB9K/jw/b3+1wYOTmDS5G507RbJ2PFpnDWpa7Pt+igpNjPn8XUs+f7YtqtUAo89PoHpM3szdHhwHiFJklj4RRb/+ucmigrN/ufDwjX8+vsf6NUnNii7PvLzTDzzxDqyMqow1jpwukRWrbuBnr1DswveQeaDd3ezZ1c5cfEG/v7kRCKj5Muv2bWjlIpyK+dP7ynrIAaQmVHJgIHxstvdt6ecjRuKuPn2oYSHhy5Mfbz39i62bi5GEAQeeHgMI0aFLh4lSeKGKxezdk0ecXHe6/q6Pwzi3gdHow2hToAoerj+yh9Y92uB/zm1WuCss7sy95WpDBiYEJRdk9HBtwsPsHpFLqtW5B7zWlS0jr89MZHb7xoesFgoLqpj+U85FBebKSkyc8cdw5k6LZ07bl/GFwsyAZh4Tjf++uzZpPeKabbdo4dr2LaxmMoKK1UVNqoqrFQdKmFb/mOE46IWA2nMQR8Xyf2PjuPy6wc263zct6ucukITFRU2KiqsVFTYKC+3UlFhJTu75oSx4Yor+jFv3lR69mx+248nmLEWWtGTMH/+fObPn48YRIZobKyBN988nxdemMx332Xz6acZ/PZbIYIAc+dOwW4XMRod1NY6/H8LC83HPOd2e7jvhbOaFAkjzu7C8ElpHNlfxbqlR9m8Ih+r2cXgsck8XbcWvOcc36aeT2WpldyDtVjrnFhMTkRR4vkF008qEqJi9dzxxHiuuW84vy/L47fFORTmGNFoVUye1ZM6oxOz0YGp1kFxngmz0Ym9wsEN1wzyehJOoYQFQWDajJ6cc0E6m9cV8v1XB1i3Kg9RlOg7IJ7k1Aiqq2wczKiiptpGdZWNxKTwZouEhKRwnps3jbseGsP3X2Sx+JuD1FbbiYjUEhmpozDPxO7tpVRV2BgzIS0gkSAIAl26RAIw69I+bNpUTOb+SgA8osTqFbmUFJu56dYhQYmEtC6RvPfJTO64ewRvv7mTX5blAKDVqnj9lW3ExBqCFgmCIHD9HwYz+Zxu/Gfedr74LBOnU8Tl9JCfbwpZJKT3iOY//53B22/sYP4bOwgP16I3yHPpqlQCd9w9gjde3c6S77MxhE2Rxa6P4SOT+eDdPS0yC7rl+qW89d/pQZ0Pp6KgoI5hI5JkFQgAtTV2DmXXMP+9GUGfa8cjCAJ6gxpJgq7do3j6hSlMObd7yHZVKoGMvZX+x737xPLQo+O46toBIYkPp0vk8UfXkpgU5n8uISGM2+4cxm13DSc5OSIouwX5Jh5/dC1JyeF06RpJZaUVgK5do5h1RV+uvWUow0YlB2x39/YyXp7zO7HxBhKSwkhMCieyezJf5w/nNnYQi53Pb3STOucPGAK4Jlcty2HB+3uJizOQlBRGcnI4SUnhDBwYT3W1nbIyK6mpEdx++1D++Meh9O0bF3Db5aJdehKaIjfXyIIFmUyZ0o1zT3ORSJKE1erim70laJuxpajT7mb72iKKMstYuPSP6OuMuPUGFi3fjiuqQdlJkoTd6kanV6NuphKWJImczGrWLTnKuZf1pvfg+BOOidVr6RYdHlTWf2W5laXfZlNTZeORpyae8NlWiytoN5nTIbJ6+VEWfZ7Fc/OmklYvuDweCYfdTViAnWy/1Ei0ahVmuwvRI7F5YzEf/nc3AwYm8Ng/zvLadYiEhYU+QB7Krubdt3bx+7oCNmy/BY9HQifD9rLgndX8Z952iovNfPLFxSG7OBtTVFjHr6vzuOlW+ct/19bYiT2JuG2LiKJHdi9CS1JZaSUqSodeL+/cbMO6AkqKzFx13UBZxdh3Xx/gjVe28dCj47j8qv6yfNeS5L2G168t4Ol/rOOeB0ZzzQ2DQr6m3W6P/xp2uz38uOgQt9w6lKIKC0Zn8EsVnQ4RQSWgbVRz4X//3UPUjs08v+KvANSdNYVDX/0YkF2bzc34PjEnCK6yMgt3372S228fyqxZvUISZMcT7FjbYURCMHy+ozCg49NXLmXK4/cBkDPrKjY9d2Y2+0gM05EaGRbS0kBfIk9LIUeHPahLFIIgUGdzHfN/WsxOWeJ9TVFebiEyUif7rBGgqspGQkLY6Q9UUGiDFOSb6NotqkW8QKUlZpJTIlrEttMpEqZXE2HQYrS6KKqxyWpfFD2oVQKDzx+HIccbvsz4dSeOXn0CsjO6x4njXUv208GOte1HhrcBev/4rf9+zsXyJEg2B7UMF1JLCgQgZIGgVgkNuz8e91pLCQSA5OSIFhEIgCIQFNo13dOjWyxZLjUtssVs63RqhHrbLbEMUq1WgSBQef0t/ucSFv5PFtst3U8HgyISmomhspy0zb8BYEnp0qL7NBxPqDtVtgfkEEIKCgoKgH+b+ZZcEVB95Q14tN4JRvz3CztsBcZ2uwSyWXg8UFQE2dlw8KD3duCA9/lffgnIVM/l36OqPwmOzroSzmAFxM4kEpRyCAoKCqHii6K35OTDnZiE6dwLiV21DF1ZCZFbN2KeGEDib0EBXHMNpKTAwIEwYAD07+/9m5jYonsBBULHFQnz58ODDzaMOoIAGg24XBAfH9hoJEnHhhpmn7lQA3QSkSD49qZQVIKCgkJo+HqRlvZQ1lx2NbGrlgEQv+SbwESCJMGWLd77P//sHZt8aDSwYwcMHy5ja4Oj44Ybpk6FsEYxYUny/ghqNVx1lfdvM4k9lEXc4QMAVAwfQ13PwBJUQqUFwmptDp9jRvEkKCgohIo/3CAItGT3WXvBTP8W0rHLFiM4HM1/c3o6jBjhve86rspiair0Da04nVx0XJEwZAhkZEC3bscKAlGEr7+GP/2JtE1rEdynL4HZY+US//2jM69oidaeEt9p3pHHT5XQ8f9HBQWFM09L5iVIYeEYp88GQGOsJXrd6tO3x2Imbul3cO21kJl53IsqmDwZsrIgPLwlmhwwHVckAPTsCb//Dl27NgiFiAi44w5YvZrzHryZq6aP4qxn/o+u61aicthPtCFJ9FjpXQPrUakoOG/WmWt/PZ0g2tAQUlFUgoKCggz48hJauv+svuwa//24xd80eYzaWEv8d1/S+84bGD6qN70e/CPk5MCf/9xwkEoFU6bA8uUQGdmyjQ6AjpuT4CM93SsUpkyB3Fxvosirr8Irr7DsyxV0X7OM9DU/0+fHb3FFRFJ09nnknz+b4klTEcPCiTuYQVRhHgDlYybKsplToLTFZTFyo2gEBQWFlsA7AWm5nsU0eRruuHg0NdXErvoZlbkOT2QUmqpKYlb+ROzPS4ja+Bsqlwvz6PEUP/YUtRddwtDJ9fkGP//s9ShMnQpLl7YZD4KPkEXC3LlzWbRoEQcOHCAsLIxJkybx8ssvM2DAADnaJw/dunmFwj33eJMZAQSBmgFDqBkwhL33PkZ0Tjbpa5bRfc3PnPO3u3HrDRRPmoZKbAhH5F1wcas0v+NLhMbJmYpMUFBQCB0Jb9/Z4qurtVpqZl9B0oIPUdltdHvmr+iLCojc8jsA5vFnU/Tki9TOuBhXapcT3//UU97Vdm+/fWweXRsh5IqLF110Eddffz3jxo3D7XbzxBNPsG/fPjIzM4mIOH0d7rZYcTGy4Cjpa5bTffVPJGbuAUBSqfjul5044oLb2CQU+sVFoteoETtwVl9ytJ7EKD0Ot4jD1cRe0QoKCgoBEKnXoFIJ5JSbsbdwnxK5aT39b/BOIiVBoG7yNGpmXopx+sW4E5v2PjdVcbElabUNnpYvX37M448//pjk5GR27NjBOeecE6r5VsHcvReZt95LyYQpzLppJgClYye1ikDodHRcHaSgoNAKtOz6Bi/mcRNxx8SiMdbiCQvnyAdfIen1Lf65ZwLZExeNRiMA8fEnblQE4HA4MJlMx9zaKt3WrfTfLzhvZus1pDPEGxQUFBRagjPRf2o0GM/3jhFqq4WoTevPwIeeGWQVCZIk8cgjjzB58mSGDm16l7q5c+cSExPjv3XvHvq2pi1F1w2r/PeLJl/Qau3oDBqhM/yPCgoKZ44z7ZSsrV8KCRCzIrBdIdsysoqEBx54gL179/Lll1+e9JjHH38co9HovxUUFMjZBNkIqyglIXMvANX9h2BtKuHkDNEZPPCd4X9UUFA4c5zpiUfdOefh0Xu3Wo9ducxb/r8DIJtIePDBB1myZAm//vor3bp1O+lxer2e6OjoY25tkS4b1vjvF005vxVbQqcYQf3/ouJSUFBQkJEQc/ObjSc8AtOU8wDQVpQRvnvHGfncliZkkSBJEg888ACLFi1izZo19OrVS452tTpd1zcKNUxpvVADdAqN4P8nFY2goKAgC77aK2ewAz0m5LBm+SmObD+ELBLuv/9+FixYwBdffEFUVBSlpaWUlpZis9nkaF+roLbbSNviTTyxJSRTNXhEq7anM4iEBrWvyAQFBYXQaY3KK6apF/rvN6dEc3sgZJHwzjvvYDQamTp1Kmlpaf7bwoUL5Whfs5EkiS1bSti6tSRkWynbN6GpL9FcNPk8UKkwVtlZ/+NRPB75Tzm328PeTSXkZFY3+Xqo7rKCXCOLvsxqEbebxezkp0XZHMyoDMlOU9E7j0di44ZC3n9nd0i2T8bRI7W89Pwmcg7XyG67qsrGR+/tweWSf495q/X0+40odB6qqmwtcm1/82UWa1fntUif98VnGXy78ECLnMtlpRbmv7HD70GQ+7v5aVE2+3aWNWnXnZyCddAwAML37UZdXRWQ7SNHavniiyzMZqcsbZWDkOsknKl4z8k+e+vWUr755iDffptNXp6JX365mj17yrHbRRwON3a7iN3urr+JOBwNj6WeEXTtHXOC3dStDctXVqgHMv/eNWTtqGDs1K507xuL0yHicorev3YRp1PE5fDenA6RKRf3IibBcMq2e0QPB3ZVsHlFPtvWFGI2OXnsjXM4sLMch73etsONwy4SO6sv4V2jEUUJdTO3hCwrMbPixxxWLD1C5t4KZl7el249orFb3disLux2N4RsEp8AACAASURBVDarG41GxdU3DQ7oe3c5RTb+VsDyxYf5bVUekgde/M/5FOSZsFpcWC0u4hPCmH5J83fL9HVEggDZB6v55qssFn19kMKCOq65fiBff5GFyeSg34B4zp2WHlB7G1NncrDkh0Ms/DyLLZuKiY7RkZgUhsXiYtiI5KDt+v6HDesKWPBJBj//eIRefWKZdUkfUtPkqcN+5FANH763h6yMShb+cAU6XfN3Mj0d5WUW1q0t4OrrBspm04fd7sZgkL8C/PJlOUyc1JWYWHnXo5uMDiKjdLJvDPT7+kJqa+zMvLiPrLY/+3gfPy4+zB//NIIrrh5AWJg83/WObaV8/MFeuqdHcePNQ7j+psF06RoVkk273c3H7++lsKCOD97dTWSUjkuv6Mf1fxjE+LO6BF2CvqTYzOJF2URG6YiK0vHx+3t5/O9nAfDT94eYNC2dyChdwHYPZVWx9fciwiK0hIdrCY/Qkp1VzZxH1tK1exQXXdaXiy7rS+9+cf73mM45j/CsfQiSRPT6X6m57OoT7G7bWMxvi7IJD9cSEaElPFxDRIQWvV7Ngw+u5s47f+GSS/pwww0DueiiXi1y/TSXkCsuhkowVaBqa+28/PJWvvzyAHl5wdVZMBg03PHUOCbO6HHCa9MunUaX4sN4EEjkGWpofi1trV7NU++fT+/BTdeJqKt1sOTjTDYuz8NY1cSGUk3w1qczmTw1HavVhf4UHYAkSaxdkccXH+5j17aSZsXi0rpG8uPvNzarHVUVVt5/cye/LDmCyXjqLVEnTO7K2wtmn/KYxkQZNHRPCGfH9lImT1xw0uNuv3M4L82b1my7PkqKzbz0wiYWf5eNzeY+4fXn5p7D3fePCtgueL/3b748wKsvbyH3qNH/vFar4vNvLuXc8048xwKhIN/E0/9Yx09LjgAQGaVjw7abSesSuvjweCQWfLKffz7jLSF7IO9uWfcKOZRdzcIvsnjymbNls+njsou+4YWXzw1Z3B3Pt18dIDu7mkf+Ol7Wzvnxv/zKR+/vZez4NP712jSGDJNnH5g/XL2YVStyAYiN1fPnv4zjT/eNRKsNTUQO7vUeVVUNYWOVSuCCGT156rnJ9B/QdP92OkqKzYwZ8hGieGLn1LNXDH+6bxS33jEMjSYwJ/fv6wu55tJFfrtxcQaKyx8AICpsHmq1wNQZPbn3kbF073nixPBkLPoyi5ee3NBkexvTf1AC1946hEuv6U/MlvX0v/FSAKquupG8V9854fg35m5mwfv7muWliY7WcfXV/XnqqYn0DKDtxxNsxcV2KRIA6uqcrFtXwMqVeaxalUdGhtet8/770+nfPw6DQVN/U2MwaNDr1f7HOp0aQRCaLMusr67k6uneweJoSn+uGfgMmdvLsVlcDB6bzFX3DEOnV6PVqb1/6+1p9Wq0OlWzOlibxcWBXRVkbisjY1sZ+dm1ADwwdxJp6VHoDF7bOoMGvUFNn6QoYgw6PJJ02viaJEnkHqll26ZittffjDUOzp7WnYcen0BYmBZDmIawcA16gybgGY3F7GTPjjJ2bC5hx+ZiMvdV4BEl3l4wm1794ggP1xAWrg3YbqReQ3piOFari08/28/m34vZvKmI/FwTl1zel1ffvIDIKC1qdfARMovFxZ5dZWzdXMy2LSVs31JCXZ2TXzf9gQEDQ6umKUkSJcVmdu0oY9fOMnbtKOXIoVp+XnOdLIO5KHo4mmMkc38lB7Oq+NN9o2SdQXs8EpWVVuLjwwLuoBWaR25OLdExeuLiDbIKsXff2onTKTJ0WBJDhiWRnBIui/27bl3G9q0ljBqTwuixqYwem8qIkclERAY+I2+MJEm88MzvvPXaDnr1jmH8WV0Yd1YXxp+VRr/+8UF7WSRJwm4XKS6s4483/ciuvX/Ebnfz0KNrGDU+jZFjU4mOCfyakSQJp0PEanVjs7j49L97+HZBJtExekZPSGPMWWmMPasLfQd62y44HAwf2RO1zYorKYV9Ww82uRXlqPQonE4Ri8WF1erGYnFRVmZhxozvsNvdDBmSwLRp6Zx3XjrnntuN+PjQ9nXodCLheEpKzKxalUdMjJ5LL+3brPc0JRJ6/LKYyU94FWjGLfey+8//QHR7OHqghgM7yrnwun7oZXb91NU6yNxeRliEluET0054vVtUGLHNFAnH4/FIHDlYza7tpVx+7UB0evlc1ABWi4s9O8owGNSMGn9i25tLmE5Nr6QIPB4Js6Nhpl9cVMe2LSXMvLiPrO518H43hw/V4HKKss3qjrdvt7sJD9fKbltBoSXxeCTKyyyyhcoaI0kSa1fnM2R4IsnJp9/fJ1CyMiuxW92cO6U7btFDdqlZNtuSJLH022wGDkn0i4Km6PPHa4lZ8wsAmSu3YO93Yhivqb0btm8v5ciRWqZO7U5KirzfTacXCcHQlEiY8MJf6fuDtxjU6rcWUHrWuWe0TU2RFmkgIUwflEhoL+g0KvqmRCJJEnX2E8MBCgoKCs1FrRKI0Guwu0Ryyi1n/POT3/8P3f75JAD5z79C5c13nXBMe9ngSfErHkfKNm9sVtTqqBg5vpVb40VsgezitoZb9K5vkNMNq6Cg0DnxdSOnyyVoKerOmuy/H7V5Q6u0QS4UkdCIiJJCooryAagYPgbR0Db29vZ04C2ifXikhpUyikxQUFAIBVV9L+JupQmWbfBwxCjvbD1y84YzW9FJZhSR0IjEPdv998tHT2jFlhyL2EkGT3ejZZAKCgoKweLrQ9yttX+CWo15/CQAtFWVGA4fbJ12yIAiEhqR1EgkVIwY24otOZbOEG4AcNe7BlWKSlBQUAgBX9jS3UrhBgDzuIn++xE7t7ZaO0Kl1UTC/PnzGTx4MOPGjWutJpxA0l7vhhySIFA1NLg18y2Bux27qgLBpeQlKCgoyIBv0YGvT2kNLKMaxraI3dtPcWTbptVEwv33309mZibbtm1rrSYcg8ZiJvZQJgC1fQfiimw7u1N2Fk+C74KWudCdgoJCJ8PnjXS1oifBOmwkktq7bDtilyIS2j0JGbtR1cevKoaPaeXWHEtDrL5jj54uJdygoKAgA/6chFb0JHjCI7AN8Ja8N2RnoTLXtVpbQkERCfX4Qg0AlcPbTj4CeBMXW7mcxRnB5a73JChnpYKCQpAIgndCJUlSq3oSACwjvWOJ4PEQvndXq7YlWJTuuJ64g/v99yuHjGzFljSNqxOEHJw+kaB4EhQUFILE13/4+pPW5Ji8hF1tI7QeKIpIqCf+gFckuMIjqEvv1cqtOZFWW8pzBnG6PUiShCAIHX65p4KCQsvQZkXC7h2nOLLtoogEQFdbQ2SJt0RzTf/BbdLf7fMkdOTBU6JRXoKSvaigoBAEvu67LYgER+++uKO8Oze21xUObW80bAXisjP896sHDmvFlpyc1lzKcyZRQg4KCgqhoK7vOxxtQCSgUmEbOhwAbUUZmsqKVm5Q4HRakZBfYyO70obbI/lDDQA1A4a0YqtOjqsThBsA7C4RgBB2hFZQUOjE+LyQDlfb6DNtA4f674cdzDjFkW2TTtsV51RbSY7U4hI9xB/Y53++rXoSnL5CQ63cjpbGd2ErngQFBYVAEWjoO+xusXUbU491UCORkKWIhHZDhM5b5EIC4rK9RZREnR5jr76t2KqT0/k8CYpIUFBQCAyfF8GbBN3KjanHNqjBOx12QBEJ7QafSMDpJKrgKADGnn2RNNpWbNXJcXaSksUOtwePb4VDx/5XFRQUZMY3ufBNNtoC9n4DkeqzKcMahbbbC51WJETpNd6/BbmoRO8JZWqjXgTwbqUcyjLIlizG5LC78chYx8EXclCrBBwON6UlZtlsN8ZicbF6RW6L2C4uquP7b1tm57eaanuL2FVon1jMToy1DtntZmZU8tXnmS3Sd1jMTrZuLpbdri9psaraJrttHy5nYAJEMoThqB9bDNkHwO0++bFtxf3RiA4jEpxOkQULMjl8uKbJ1+vqnOzfX8FPPx1h/vxdvPPGTgBi8o74jzH2bFokSJJE9u4K1iw6fMJrbpdISZ6JPRtLWPnNIT5/bRc1lYGdoJUlFv73yk7qGl3oHo9EZamF/VtKWfnNIRbM2xVUtq65zslH83fx3edZ/udqqu3s2FzM159l8NH84KuAud0eflh4gIf+uByVSsBmc7NvZxnffJbJ4q8PBG3XVn8R5uUYOWf8AkqKzWTsq+CTD/aycvnRoO02ZuXyo5w74TN+XHKYTz7Yy55dZbLYBfhx8SGmTfycb77MorzMIptdSZJ4Ze5mnn1qPaLMq10qK60s/eGQrDZ91Na0L1Ejih7Ky+X73XwUF9Xxv4/3nf7AANm8sZjZFyzk6JFaWe2uXpHLQ/eu5I83/URlpVUWm6Lo4dWXtrBndzm3XLeUh+5bKYvt0hIz817egtPhHYC/WpDJnEd+pSzECUbWvgo+fGsnG37Np6LMgiRJ7NpeymP3rODwwepm27EN9JZnVjkd6PNzWb8mn7lzt7B48WEOHao55nq++eZlrF6d12YEg6a1GxAqFRVW/vvfPcyfvxuj0cGnn85k6dIj5OWZyM01kZfnvdUc11F1S4/i7xd0JS63YeA/3pPgET1sX1vEsgUHOLyviikX98RsdFJWaKaiyExZoZnqchtSo1l0fEoYky7qQVxi2GnbXnjEyI+fZrHxlzwiY3QYwjSU5tf5b05Hg2JNSA3H8riLCJ0GAW8uxamoMzr46tMMvvhwHyajgynnp7NqWQ5HsmuobiRi+vSP4/b7RgYUxvB4JFb9lMM787aTf9RIQlIY11z4DblHav0ehSnnp3PZtQObbbMxR3JqiR+eTFWFldyjRq6Y/R02q/fi/+Ndw7nwouCLXZUUm3nyb7/x42Lv7/7F/zL48rMM5jw/mRGjUoK2C97Z0ZN/X8cX//PGHdesymP71hJmXRK6h8rlEnn0oTV8tSATQYB7HxzNgIEJIdsFr9i769af2fx7ERt3JNGrT6wsdgGKCus496wFrNtyE126RslmF+DWG5bytycnMnhIomw2RdHDrTf8SM9eMbzw8rmy2fV4JO7/0wq2bCyie/dopl3QQxa7kiTx0gubOJRdw8zzFvLR57OZNLlbyHYtFhdvveZd179s6RG2bSlh3n/OZ/rM3iHZzTtq5K03dvCvFzcD3sF8+Y9HeOLZs7np1qFB10fJPljN/z7ZxzPPTAbgw3f3UFRYx6qfcrjpruHces8IIiJ1gdvNquLDt3bhsHv74rgEA737xrFjSwm//pLLjEv7cvfDY0jvFXNKO/be/fz39blH2Lcrns/f34fd7u3X9Ho1AwbEM2RIArt2lbNgQSYTJ3bhqafO4qKLerVqmFmQWlmumEwmYmJiMBqNREc3f+fFffsqeOONnSxYkInDcaz7R60W6NYtih49ounZM5oePaLp0SOm/m803btHYTBoeH3dUWa++AgDfvkBgJ++WkFt30HYbW7WLz3Kz58foLzo2BmFTq8muWskSV0jSOkWSXLXSJK7eW+JaRHo9OrTtv3Q3kqWfpLFznVFxzwfGaMjrUcUqeneW1qPaNJ6RJHSLRKdQUNSuJ6UCAMeSTqpSDAZHXz50T6++Gg/5jqn//m4BAODhyXRZ0AcvfvF06d/HL36xhIW3vwcDEmSWL8mn3de2U52VpX/eUGA2Vf2Z9CwRAYMSaT/oPigLsiyEjPz/72NI1nV7Np7O1ari5SE/zBhUhcefHgso8emEhOrD9gueDv/j97by0svbDrme9Hp1CxbfS3DRiQHZdfHrh2l3HvHco7mGI95/tkXp3DPA6NDsl1ncnDHzcvYuqWYnr1i6NU7lptvG8p5F/YMya6P55/eQNb+Si6+vB8XzepNfMLpBW5z+XJBBjExelmE0vG89/YubrtzODrd6a+5QCgpNvPME+uZ99YFRETIk6Nkt7tZvSKX1Stz2b6lhHc/nimLuCkvs/CPx9aSc6SW4kIzZrOTf79xHjfcFNpS7qNHarli9neUFB87E7/59qE8+88pQV3fPlwukeee2sB7b+8+5vnRY1P512vTgr4WBQmiwrVUVdvo3/s9rBaX/7X4xDDufngMl18/EI0mMAe6KHrIP2oiO7OSgxlVbN5QyMGMhv5PrRa4+Or+3PXgaNK6NS2E4xd9Rc9H7gag8MkXKb/zfkZ0iyQ310RmZhWZmZX1f6vYtascsdGeE2PHpvDkkxO59NI+IYmFYMfaVvMkzJ8/n/nz5yOKgSeY1Nba2bChCL1ezYQJaezbV+n3FCxceDFXXtm/WSeCS/QQm5cDgEelwtTdO0PNyajCYnLSd1giYZE6SnJNOB0ifYclMOeD81GFsIi/rtZB4REjaT2iGDO1K2X5ZsqKzLgcInc/M4FRU7qe9L2O+iU9J/MkSJLEwYwqoqL1XHJ1f4oL6igu9N7i4sN4+Z0LCQsL/ievrrRhMbuYeUVfxk3qQkWZhYpyKxVlVgYMTuD624ae3shJkCSJglwTZ03pxpDhSVgsLiIitPzlr+PJyqpixKjkoAUCQEW5lb794pj//gycDhGnQ8ThdON0iJSXhebu9HlP3v90FmHhWgwGNYYwDWFh3vuhYrO5eeu96SQlh8s+oxBFD3/+v3Ehfben4oqrB2AwtEw3c/tdw9Fq5RUIAGldInn3o4tOmHyEgsGgYfalfZl9aV8kSaKqSp6YeXJKBB/8b7b/scXspKjIjNMphiSeklPC+WXt9Tid3mvF6RJxOT04nSKVlbaQRIIoSqSmRfLMP6f4rxWDQYMhTENNjR232xPwQA6g03rfU15pY/joFGLjDcTGGYiJ0xMbbyA6Rk9psZlu6c0fIAHUahW9+sbSq28sU6f3ZM/OMtJ7xZCcGkFyajhJKREkp0ZwOLuG5LQI1E2MD/aeffz39UcP++326RNLnz6xXHKJ9/W1a/M5//xvSE4Op1evGP+tvNxKfr6JHj1O7bFoCdqtJ6ExkiRRWmph//5KnE6R2bP7nP5NwD9XHuKxy0ahs1mo69aDJT9saPI4j0eiqtRCcW4dPQfGERNvCKqdJ8Pjkagut2IxOenRP+6kx+nUKvrHRyFJEoFEpCVJos7kRKNRES7TzKil6R4fRlSYFrtLbBPlVRUUFNo24To1GrWKohobRqvr9G8IAo9H8u8yGQjq2mpGjPROQk2TzuHwF0sZ3ePE8a6kxEx0tI6IiOBF2Mlod54EOREEgbS0SNLSIgN6n66yAp3NG04wpZ881qZSCSR1iSSpS2D2m4tKJZCYGkFiasQpj3OK3uWBKkEgkEXAgiAQHdMyM8WWwuoUiQrTKvUSFBQUmoWvr7A6Tr56IFSCzZkQY+Nxx8WjqanGkJtz0uMCHcPOBB1mdUMwRJQ05ARYunZvxZY0H2cn2cPBUn+haxSRoKCgcBrUKgFBEHC5Pf5N4toavpCDrrgQwSbPapEzQacWCVGlBf775rT2IRLsjfISOjJ2lwfR4y2qpJRoVlBQOBW+yYSlBb0IoeJM7+m/rysqbL2GBEinFgnRpQ2eBHNql1ZsSfOxdRKRAI28CerO8N8qKCgEi6Y+WdDclkVCWkNSuq5EEQntgvjyBpFQ1848CZ0Bs10JOSgoKJwaAW+4QZIkLDKuSJEbZ5eG+hW6kqJTHNm2UERCPcaUky89bEv4PQmdwAXv8yQoyYsKCgonw+dp9IUo2yquRp4EbbEiEtoF8ZUlALh1eqyx8a3cmubhkRrqJXR0XKKE3SUiCAJaJeSgoKDQBP5Qg73thhpACTe0S6JqKgGwJKYgtqMof2fKS6iz+fISOvWpqqCgcBJ8mzrV2VumNoJcHBNuUDwJ7QCHg0izt4SuNSGpTbupjsfq6kQiof7CV/ISFBQUjkejElCpBJxuD3ZX214eLsbF49F7C/FplZyEdkB5uf+uNT4JCfC0kV23Toetk4QbwBtndIkeBEFQhIKCgsIxtJdQAwCCgDM1DQBteWkrN6b5dF6RUNrwI9XFeTdaaS/OBLtbxCNJnSJ5EZSQg4KCQtP4khbbeqjBhzveO9ZoTEZwtwNhgyISADDFen84dztRCRJg60QhB6PN2wEoyYsKCgo+NCpvoTW36GnTSx8bI8Y32t69urr1GhIAnVckNAo3GKO8KxvaU16CxdU+VKgc2JwiLrcSclBQUGjA51k02dpPX+iOayQSKitbryEB0GoiYf78+QwePJhx48a1TgNqa/13jRHeHbHEdpKTAJ0reRHA5PcmdF5dq6Cg0IDPs+jrG9oD7vhGS+0VkXBq7r//fjIzM9m2bVvrNKCRSDAZvDtviR6JVt45u9lY3W6kTpSX4As5qJWQg4JCp0ej9m7o5HR7sDrbR6gBFE9C+6KRSKgLi8IlegfcNrqB2Al4pM5VL8Hu8mB3iaiUwkoKCp0eXb1H0WhtP14EAHec4kloPzQSCbaIKOxu7xrb9pK8CGB2tp9YnBzU1ncIOo08p62tBWOZa1bmtojd8jILzhaYObUXD1p7x9NC/Uv2wZZJgtu7uxxHC22a5HIFdx4LQkM+Qq3VKWeTWhwxNq7hgZK42PZwuUR27izjnXd2s3tttv95W0Q0tvpCHMEkL3o8EgWHa1n17SHefnIT1eWB7xUuuk8sBCJJEiV5JlZ9e4h3ntqERzz2GF/y4unm1Q67G6vlWMVdUmTmm88yee2fmwNu6/G2D2VV+R9XV9r45rNMPv9gb0h2AWxWF998lglAndHBZ5/uQ/RIqFUqQs1fLC+zcOv1S7HZ3Hz43z3s2CbfuuX1vxVw240/8u5bOykvs8hmV5Ik/u/+Vbz95g7ZhcJ3Xx9k44ZC2cVCfp6J8nKL7HYlSaLO5Ah6oDkVFRVWsjLln+UdyKpi7vMbZf8ufvk5hztu+omMfRWy2n3nPzv58rMM/nTbz7J9zy6XyPNzNnD0SC1Lvj/EJ0H0E7pGtRFc9a7fijIL857fxOF6sVRSWMfGtQUht3fvjjLenLuFzL0Vx/xujfu8QBAjIv33f/3xABs3FiEe16/X1tqDa2wLoWntBshFTY2dN9/cyVNPTURVvyNYbq6RrVtL2bKlhC1bSti5sxy73Y0gwDZDjf+9tvBIJJ9IaOICdrs9rPn2MCndIxlxdhecDpGjWdUc3F1B9u5KsvdUYK1zIQjQrU8Mxio78cnhzWq3JEls/7WQPRtLuPPJ8dRU2MjYWkrGtjIytpVRXWZDECC9fxzGagdxSWH+91pd3noJKkGAk3Q8u7eX8vzf1vHht5eSnVXF+tX5bPg1n8MHqhEEGDYqBZfLg1YbuF48fLCaJx5aw+wr+rFvVzkrf8ph+6ZiJEli6vSe/OHO4QHb9JF/1Mij96xAr9ewb1cZq5bl4HSITD27O+PGpKLTqIKusJZzuIbrrvyB0mILY4d+RGWFjcfnTGTMuNSg2+tjz64ybr1hKQ6HyNP/WE9UtI4/3DI0ZLsACz7NYNWKXFatyGXAoARmzu4ji11Jkvjv/F3s3V3Ov16bxs23D0Ml0yqSX1fl8vija/nbkxN56C/yJSlvWFfInTf/xJXXDGDuq9Nks7t7Zxm33fgjCYlhrN5wo2x28/NMXHf595SWWDh3WjqTz5Fn11m73c3/3b+Kqkobf7rtZ1asu4GICG3IdktLzLzxyjZqarwD1p/vWclb701HHWLicPaBaj77ZD/z39hB/wHxHDxQTWFhHf+YM6nZ55y2CS/CoQPV/PD1AT7/cB9DRiQxdXpP3n5lG3f9eTR3/nl00O3OPVLLt59n8ul/95DWNZLzZ/Xmglm9+fczvzNuUlfu+b8xaHXqZtvzhDeIhIytuTx49pfExxuYMaMns2b1ZsaMnnz88X7y8kzMnTuF6Gh9UO2Wk3YvEhwON2+/vZvnn99McnI4arXgFwUVFTYAUlMjmDAhjaeeOosJE9IYOzaVmCn/g33g1OkRtTpsbg+SJOFBaBh4gb2bSlgwbxfFR01Mnt2TxR9lkpNZjdvlQatT0XtIAudf3ZcBI5LoNzyRiGhds9teVljH//61kz0bS0hNj+KvVy+jONfkbXN6FKMmd2XIuBQGjU0mKvbEk0XC602I0mkR6h/7sFpczP/3NhZ+uh+AK6ctxFjrICJKy1lTunHTncM5e2p34hPDTrB7OiRJ4qtPMnhz7hacTpE35m4BYMTYFB55aiLnz+xFcmpEwHZ9rFudx1MP/4q5ztsJVJRZuOmu4Vx27QCSe0QBoFapgMBFwu6dZdx49WKqKr3nRlSUju9+vIqBgxJO887Tc+RQDTdctRiLuT4solNTVWnD45FCHnRzc2qZ8/g6ADQaFSt+PsrU83oQFhb6JbxjWyl7d5eT1iWS7unRsgkEgKpKG+ERWi65rK9sNgEmTOwCwOBhSbLaHTYiiZGjU1i7Ok+W382H2yUyYGACpSUW/jNvu2wi4Yfvsv2z/MOHanjir2t5ff6FIdvV6zVMnNyVZUuPALDom4OER2h55Y3zQkqWHjIsiZ0Zf+TD9/bw4rMbAfjPvO0UFdTx+tsXoNef+nz2lWF2ix5/kTWASed255etN/PrL0dZvPAg8//tTYh/742d7NtVzvOvn0dcvCHg9l567QBmXNqHLRuKWLUshx++OsCC973ej4w9FWxaV8ALr59H735xp7HkRYxo6Bfvvbkvg/9wLcuW5bBsWQ5ffnkAQYC0tEiKi80sWXKEd9+9gNkyTQaCRZBaORhpMpmIiYnBaDQSHR3d7Pd5PBJff32Qf/xjPUePGv3Ph4drGDMmlQkTUpkwIY3x49Po3j3qxBO7f384dAhLZDR//Z/X5d47To9BqyJcq6Kq0MwXr+9m1/riBtuRWgaMSqL/iCQGjEyk56B4dPrmq0gfTofIT59lseTjLFwO39bPMPGiHgwdn8KQcSkkNHOQTQjTkRYZVi9wvGzZUMgLf19PcWGd/7ixE7twx4OjGDU2NSDlezyV5Vaefew3Nv7W4MrT69V8+N1lDBqam4jKvgAAIABJREFUGLRd8P6m772+g/ff3HnM89Mv7s2zr07zf9d9kiPQa9Xe+gli84XC2tV53H7TT/7QS0Sklj594/jHnElMu6BHSG0vKTZz8YVfU1hQx8DBCUya3I2zp3TlrLO7kpjYPK/SyRBFD5fP/JbSUgs33zaU628aTHJy8CLseO6/6xc0GoHn5p5LTBNiNBSe/NtvTJnanRkze8tqF+Dh+1fyf4+Np0fPGFnt2mxurr5kEe9/OpMuXaNksytJEosXHWLO4+v4/JtLGTYiWRa7drub5T/l8PUXmfy6Op/578/gymsGhGTTZHSwdXMxW7eUsG1zMTu3l2K3i9x9/yiefXFKSELB7fbw+KO/8sN32ZiMDd6ASVO68cnnF5/yHAzXqdGoVVTWOSg3OZo8piDPxN03LKWsuCHUl9o1kn+9fQFDQvzOXU6R/7y8lc8/3Od/Tq9X8+DfJ3DdrUNOKyp1BbkMnTLC++D66+HLL/2v5eYaWbYsh7/9bR1mc0N4+IYbBvLGG+eRlBRaPxLsWNsuRUJNjZ2//30dy5YdpaLCiqNRta3vvruUK6/sf3ojPXpAfj61cUk88eFvAKRGaokP11BbYuHDOZsx1Tiw1rmw1Q8qXXtH8/RHFxIeGbw7z1Rj56s395B/qBanQ8TlEHE6RJx2kYtvGchldwwJyJ5OraJ/fBQeScIjSaz8MYfvvzqAx7ecU/LuSREWpuXpf59LYjPDIE1RUWbhnVe3Y7W40Bs06PVq9AY1eoOGQcMSOT+EgUCSJH5YeJDMPeXEJYYRFx9GfIKBuIQw4hLC6NYj2j9rjovQkhYbhuiRsDQzqSov18gnH+ylR88Y+vSLo2+/OFLTImRZQurxSHz28T4SEsNkEQXHs3d3OdVVNs6Zli7rLB+8MeKN6ws597zQRNLJ2L+3gqHD5Z3t+8g+WE3/AS2zxXt1lQ2z2UV6j+Z3ps3FZHSwd0+5bN6ExpSVWlix/CjXXD8Qg0E+R7HTKbJvTwXbthQzbkIXWUJzkiRRU20n96iRozm15OYY0RvU3PPAaDRNJCerBIg0aJEkicNlZn8+wvEU5psozDNhrLFjrHVQW2PHWOPAZnVx85+G06tv82b9TWGzuvho/i7MdU6cTg8uZ33/7RQZe1YXrrttyClDG5rKCoaPrfeqXXwxLF16zOtffXWAV1/dhkoloFarUKu9npPU1Ajmzp1C796xQbe9U4mExkiShNnsoqLCSkWFDadTZMqUbqd/Y0oKlJdTmdyVp99dCUC0Xk23GB1qAaIaub08ogeb1Y3N7CIsUktEVPNDCmeC/vFR6NSqdlUMKhRUAvRPjUKlErA43O2qUqaCgkJwGLQqdBo1dTYXBdW21m5OUKgsZkYO6ep9cP75sGrVGfvsYMfadp+TIAgCUVE6oqJ0gaksh9dV5dY2DPi+Kobu+lm4b5apUquIiNK1OXHgw+RwkRiuPyEvoaPikaDG6iQhUo9eo2pXxVQUFBQCRwA0Ku8MvdrSvpY9NkbSNPJCd7YNnt5++2169eqFwWBgzJgxrF+/Xi7TLYPdm7XbWCS4PeCs3yOgPdVLqHN6wyGdqcRQtdmJJElo1KEvh1RQUGjb6DQqVCoBm1NsN5s5NYWkaTQv70wiYeHChTz88MM88cQT7Nq1iylTpjBz5kzy8/PlMH9qcnPh6achkM+SpCY9CQAWV/srqmRxibg9nk5TohnAJUr+jV10muATMRUUFNo+2vochSpz08mK7QZVoyE3UJGwaRP8619QU3P6Y2VEFpEwb9487rjjDu68804GDRrE66+/Tvfu3XnnnXfkMN80ublw113Qty889xwsW9b894oNSlRUH5uEaG2HIgEaqi92HpnQ0GFo1QKdSB8pKHQqdGoVqvp9GtrTjo9NIggN3oRARcLHH8Pf/gbdu3snxmdILIQsEpxOJzt27GD69OnHPD99+nQ2btwYqvkTaSwOPvnEO+AHOkI0VnPHJftZnA15CZ52lAhodHS+kIPd5cFsdyMIAnrFm6Cg0CHR1Rd6q6xr516EegSfONixI/A3q9VgscALL5wxsRBy4mJlZSWiKJKSknLM8ykpKZSWnljq1uFw4HA0/Ngmk6n5H/bss/DMMyc+L0neL+u115pnp9HgL0jHrrN3e8Dh9qDXqHB7JHTtZDMhs9NdX7L45NUXOyIVdQ4iDRq0agGHu1P96woKHZ7GXoTadraZU7MYEEA9i7KyBi+4x+MVC8895xUMy5fDhaEX0WoK2VY3HB8PP9k2xnPnzuXZZ58N7kMmToTkZCgv93oPGo8Iw4fDyJHNt/XKKwAITYwqZmdjkRBcU880Et4ExliDrtOscgCwOUXMdjeRBg16jRp7C9TyV1BQaB06mhfhBC69tPnHrlgB+/d7BQI0jIG9ewcmNgIkZJGQmJiIWq0+wWtQXl5+gncB4PHHH+eRRx7xPzaZTHTv3syiItOnQ2mpN//gySdh925v6MDjgauugnvuaX7D580Dj6dJkWBxiiSEa9pdXoLR0flEAkCFSfEmKCh0NHxeBFdH9SIA/PvfzT/WaPSKBLXa61GYNcvrXR8zpuXahww5CTqdjjFjxrBy5cpjnl+5ciWTJk064Xi9Xk90dPQxt4AQBJg9G3buhB9/9HoQAMIDrHJXn5dwfLgBvMmLkiThkYLbFbK18IUcOtMqBwCbS6TO7kIQBAxKboKCQofA50Wo6GBeBI++fg+J4QFugBcW5p0QX3QRbN/uHf9aWCCATOGGRx55hJtvvpmxY8cyceJE3nvvPfLz87knkJl9oPjEwqxZXsEwJLByxr5kR8FzokjwSF6hEKFT4/bF+dsBEmByuojrhN6EcqODSL0GrUaFwy3SjrSdgoLCceg1Xi+Cwy12OC+C4K7/f7QBlvefMwfuvRcGDpS/UadAFpFw3XXXUVVVxXPPPUdJSQlDhw5l2bJl9OjRMvXgj0EQglNT9Z4EVROeBPDmJUTo1Lg8Eq2/WWfzqbV3TpHgcHsw2lzEhuswaNVKFUYFhXaKQMN20OXGjuVFwO1G8CUfGgLclTIhwXs7w8iWuHjfffdx3333yWWu5dFqweFALTa9VtXsEEmJ1OIUPUiSqt248C0uNy7R473IOllwvsLkIDpMi0atQqPytLucEgUFBdBr1ahUAlaHmzp7O6+LcBwqh73hQaAioZWQrSxzu6N+X2+dvemNQhyihEv0oGpnJZqhoWZCZ/txXaJEtdlb112vVXITFBTaGypBQFu/7LzsJFtBt2cEZ6N9JxSR0MapT3TUOU6+m1idwxuKcLUzkVBjb78boIRKZZ0Dt+hBrRLQNbHdrIKCQtvFoPV6bWutTmwdMGSoeBLaE/WeBP1JPAkAdfUnqUv07grZXnCIHqwubyXC9hEkkQ/P/7N33uFRVF0cfmdbsimkkAQIvQVp0lSkiKAi0kRFULH3LiIWVFAQFTsqgg0/sCGIgIr0XqWHFgiBQEghvWyyfXdmvj8m2QQMaTtBA/s+Dw+7m5mTm9mZub8559xz5NInEL1Wc8n9/T581FX0WgGdVoMkyRdfLkIxgk8k1CFKwg1Oe7krHAAsTglRkpEBse5oBKDUm3ApTpImqwur041WI+D/L4QdalNQJp0sqBW7bnf514APdXE6RaRa8EwWFTqwmOu2B7EkRJhd5KhzId6qorGVeSj1iYT/JqmpRXz55X72H7d4Pqso5GD2eBMqvomacu2s/e047zy+npx0S4XbVgezycGahcd576kNuKrhfjM5XIjnqXoJYDE7+fWHOCaNW6/WUAGw290s+P4wMz/c5bUtWZYRi4+7yyky77tDLP7laJX2zSiwI8syep2m3CWsebk2cnNtiKLEzM/2snmjeh1Lf/jfIXJzbXz+yW5VJ/W8XBv33rGUb2bFkp9nr3yHavDqixtY/lciFou6y822bk5h9850zEXqTmA2m5sDsZkU5NtVtS3LMrt3prN9ayppqUWq2l2xLJEPp+3g0IEsVe1+++V+Zn99gO//d0g1u6Io8fbkbWRlWfjlpzjsKiUQWsxOXhy7jvQzZgDPMfbXl5ZfzquB2ElLKeTN8RtJL/OdqSHGdm5N5Z1XN5NyuhrtAypAW2jyvF6/r5D4+FxV7NYmqq1u+K8iyzIHDmTz558n+PPPRPbuzUQQYFNo6RpVg8OGwxhY7v6FDpEQfx0uUcagkdBqS3VVYb6d3etT2bk2maN7s0GWiekaidnkJKJR+fbOh83iwhiojEl0SxzckcGWpafYtzkN0S3R4coGFObZqd+wanYlGUx2F+FGA1azk4AgpSX2qRP5/PpDHMsWH8didtFnQFNsVhfGgGqu2S1m+e/HGXJLWyxmJ4t+PspP3x4kN8fGwKGtzluauyrIssyM93cx8u72HD+ax2fTdpJ8ysQd91etHobdJZFvcREepCyJtDhKb3Jut8SjDyxnxG0x/DrvKLt3pvPSqz3p179ZjcZaltSUQqZM2src7w5x5HAORqOeR5+sRrnwCpj73SESjuUxacJmZBkef7qbKnYLTQ5+nHOYH/53mPse6sSTz3SnVZswVWy/M3k7B2Iz6dOvCe99NIDWbdWx+9wTq1mz8hSBQXrWb7uboGBD5TtVgihKfDRtJzM/24vLJbF26100bhLstV2bzc36NUk89sAK3G6JoCADXbr9sxptTcjKtPLxezvJz7cTGRXAg492wWj0/raedNLEz3MPs2hBPH5+Wk4k5DPprb5e2z0Wn8dfv5/gj8UJTHm3H6uWn+TFV66i99WNAUgvsNVo6XbSiQI2rz3N6qWJ3PlgRx56qhuLfznKgEEtadYypMbjzc60smbZSX5fcIyBQ1tx/xNdaNcxgkP7MmnYJJjIqOoV8dOVEQnbjlh5o/0cBgxoypNPduWWW9qg12spKnJitbpo0KB6c0htcdGIhBMn8lmx4hTPPtsdp1Nk48YUjzBISSnCaNQxcGBznnyyK0OHtqLh+FiYFwuAv81CUWhEuXbNTklRpBqlPKi1yMWeDansXJPMkb1ZSKJMTJcI7nmhG1de14Twap40TofIz9NjuaxbJE1ah7BlWRLblidhyrXToGkQtz7SkT5DWxBRRXFQlhyrg3CjAaNRz7YNyfw0+xC7tqURXM/ALXdexqh7OtC0Rc0uIFmWmT0jlh+/OUBqUiG/zDmMucjJoJtb8+BTXWkdE14juyV8+/k+vv/qAFs3JJN4LJ8uVzRg6vQBdOoaVWUbWYV2go069FoNfjoNjmKX+puvbWHrplS2bkolunEQC5bcQv/rva/pIcsyLz+/HovZxZHDOYy68zIefryL13ZB8dB89/V+z/sZ0/fQs1c0Xbt7P9ns2ZXuWS2bdMpEg0ZBXtsswWDQIIoy4eFG1QQCQN9+TfhzyXFatAqhQQ2ujfLQajVccVUjHI5i76FTnRCMv7+WUycLPCGdjetOM3b8lV7bFUWJzz7ejak4fp+dZeWnuYdVEaWt24bx5+pRDL5uAWfSnMz6fB83DW3FlT2jvbLb/YqGbN59D6+9uJFxT6/Fz0/L++/3RxAE8i1OLI6aJSv2GdCMPzbfyZxZscyfE8cfC44RVt/I/LlxfDN/WI3vc8NGxjBgUAsWzTvKz7MPsWppIn36N6VZyxA2rk7iix+G0KJ1aJXtaU2lnsWX3x1IdMh1zJq1n9Gjl9KoUSCPPNKZUaPaMXToYn7//Ra6q3B9e0udFwmSJPPFF7FMmLCZ3r2j2bo1jRUrTlFU5KRBgwCGD2/NzTe34frrmxFQ9mk5vHQSCywqILtR+ZNEyoEcxEAdnXo1YvuaZOZO3Y0kyrS9vD5jxnblyuubUr9BNUtCF5OVaubzCdtIis9n3+Y08rNsGAP1XH1jU64Z2pK2XSJq/CRus7j4ZNIOnh93JZd3b8D+3Rnk59p4fdo1DB7RpsaeA1CO+UdTtrPg+zgAvpsZy7CRMTzwRJcaX4xl+eHrA3w9XWmjejIhn8kf9WfYyLbVPhaSDOkFdprVD8Cg0+ASJX76IY7ZX5VOtr36NKbj5ZFejxlg0a/HWLfmtOd9WpqZA7GZdOvR0GvbC+fHk5OthMXuurcDb7zVl/D6Rq/tAuz8+wwANw1txddzBuPvr95tQW/QEhLqx9T3+qlmE2Dw8Na88sIG+l+nbsG2629swf0Pd+b77w7hUqlZmCAIPPP8FUQ3Dmbsk2s84RdvvR9arYap7/Ujpl047039m/x8O198uod7H+zk9XcoihLzfz6Cs3jSliSZ555Yw7ptY86+j9aAqKhAXnilJ7F7M3ngwc7EtAsnO9vKqRwLQfVqXrquXogfY1+9mtH3dmTqhM3s3JoGwON3/cU3C4bTpFk1WwAUExhk4L7HunDn/Z1YtuQ433+1n20bUwB46PY/+Oy7m+hcxcm8bLjBr0EED9/dmYce6sTu3RnMmrWfDz/cwzvv7ESSZPr0+YX//W8Qd93VvkbjVos6nZNw4kQ+/fsvYOzY9dhsbtatSyYuLodnnunGjh13c+bMk3z77SCGD2/9zxM7otRzEFj4z7ix6BLZNvcIf07eyZ7VSry6Raf63PlsFz79azhv/m8gN41pV2OBsHtDKhPvWUVSvNIL3Gxy8sRbVzNz1Qgefv0qYrpG1lggZKWZmfLQWvZtTmPhT0cAuP/xLvyyYiS33dXeK4HgcopMHLveIxAAQsP8uWV0O1UEwvy5h/ls2k7P+4BAPYf3Z+F21yy+aLa7MVmVvg64ZSa9shmA+hFGxtzXkVtGxhAU5L2rOifHyqRXNmEwaLljTHvWbR3DkmUjVREIkiTz1Yx9tGkbxpLlI/l05kDVBALArh1nGDm6HbN/GKKqQACl/v7EKX2IUtl1GhUVyNW9G9P/Ou9DROfy5tvX0LJVCE6VPAkl3DaqHQt+v4WAQD3bt6aqYlOr1fDAI5ezfd993P9wZzIzLMwvvua9tTtpSl/2xz/MG1P70qxFPU4mFvDO5O0qjFrxoD437gpennA1AM8/u5YXHltdrbyr82G3u8koznkAyEy38Phdf3EmxbscE4OfllvuaMdtY0onbVO+g8fH/MXmdacr2LOUsp4EwhTPmiAIXHVVI+bOHczJk4/QpEmQ5+8YM2YZEyZs9uRm/Rv8a56EmTNnMnPmTESx+ieFJMnMmLGPV1/dgs1WGmsWBJgwoSf33NOhciNlRULR2SIhL7mINZ/uJzdJSVY5tDUdp0MkvGEgPQc1p35kzW/QbrfEghkHWPHzMQCMgXoC6+kJDDZgs7gweHmTPro3i89f2YbolmjSKoS0LDNFRU5CQv0pMjsICKz5hGi1uHj5yTWcPJHP1dc0oUXrUFq2CaVF61Aa11Cll+X3BfEs+D6Oobe1pUuPBlzevQGtYsLOygOpCRkmO0a9hqAgA/N/uxkRuLJnI6/tluXTD3fz0GNduP/hzqpPiJvWJ3PLyBieG38Ffn7qXrJOp0jnLlFMfucaNLXQo6RPv6bcc38n1e0CjLzjMnr2bqy63cBAPV98M+ise4ta9O7bhKWrR7F+TdUmlaoSXt/IB9Ov494HOjHr832Mua8jBhX63IfXN/L02B48+Wx3Nqw9zdzvDvL3tjR69fHuuHft3oA+vRqj1Qhk5dm4rHsU2QV2pr+7g5fe7O1VhduWbcJYvP4OsjIsHN6fxeH9WcQdyOaFR1cx/bubaNS45uE0t1um+1WNmDp9AEknC0g+aSL5lImJz6/nhYm9uOWOivsqlPUkEPrPMMWRI7kMHtyKM2fMpKebOXPGwkcf7ebQoWzmzRtGSMiFbxIgyP9yAYDCwkJCQkIwmUxV7ghZUGDnxIkCBAE0GkGpByAoikyv19C+fRXqWy9YAHfeCcCiB15m/c0PeH6Un6qoUK1Bg06vQWvQ0qphACFGHX5aAaMXy+oshU6KTA4Cgw0EBOnRqljwR5Zlss9YqBfmh38Zb0FUgB9Rgf5KZ0sv7BeaHOh0GgICvXM3locsy5gKHISG1c6yID3QtnE9ZFnG6hRV7e4pSTJOp6j6U3gJDodbdXFQgtstodUKtVZ23O2W0NVSUavatF3b9l0uEX0tLc+VZRmXS1JFJJSH1eryOuTgp9Pgp9fiFiUSsyye69Fmc6PTadDr1T/uoihhLn5gUhtZlsnOtFI/0ljhw0fz8U9Sf9E85c2RI9C+8lCCKEpkZ9vQaBQPWk2pyVwLdTQnITTUnyuu8NKNW6ZRRlBh/lk/CmvyT6VZ6BQJMepwijL+uppn7QfWMxBYz3v3dnkIgkBUOSo51+YkIsAPjSB41c+hXi2qWEEQak0gALiAAouT0EADRr0Ws0O9p0SNRqg1gQDUmkAAanWSrW37dXnstSUQQLmWaksgAF4LhLLVUNML7GcJdjVWZpz392o1tSIQoPjeW4UEWl1udumbiPKT5c9Fq9XQUKXk3JpQp3MSvKKCcEN5mB11t7CSKMuefg6XYnGlEjJMdpxuSZnUfb0dfPi44AiAUa/1rGa42Bo4VYY+MwMASa+vskj4t7l0RUJU6VK6evk5lW4uo9RMAHD+i0kkNSXHqiyTupRFgiTDmXwbsixj0Gk8jWR8+PBxYfA3KB0eHS6RDJO6BcHqAvqsdABcUY2UJLo6wKUrEho0QNQqrq2w3PQq7WKyl4iEutXLAZR+DoUO1yXZz6EsVqdIdnFvBz+dllrI1fPhw0c5GLQa9FoNkiyTmm+71DrZIzid6HOVB1JXA+9XPV0oLl2RoNVSEK54E8JyMqq0i9UlebwIda0zJECO7eJsmlJdcsxOzHY3Go2A0VAn03J8+KhTaAQBv+JkxEyTHYer7nljvUWXnel57RMJdYSC+soXFVRUgL6C/g1lKetNqGtYXSJWlxvNJe5NAEjLt+Eqbinty0/w4aP2EIAAg5KHUGhzka9yf5C6Qkk+AoA9smGdEUqXtEjIjyhVc6G5mRVsWUqBvbThk1QH/WXZxbkJdXDoqiJKMml5pfkJBhVrJvjw4aMUY3EegtMtcSa/ag9jFyOGrNKwttiwEbo6khN1Sd8Zy4qEsNyqhRxcoozFKSIIQp30JhQ53djcIlqNz5tgdYpkFte999OX3y3Shw8fNcdfr0Gn1SBKMim5VupglFY19BmlIqEgtH6dud9c2iKhfhmRUMW8BIB8m+JNcLilOpfACJBlUbKK6+DQVSfP4qTA6kQQlLBDHUk49uHjP49eK2DQKaG8tHybp8HapYpfcpLndUaELyehTnCWJ6EaIqHIIXpqJrjroDQucrqxuXzehBLS8+1YnW60GoEAXyKjDx9eUzbXJ6vQjvkSq4dQHn6nT3peFzZu8e8NpJpc0iIhL7K07WlEZkqV95Op2wmMAFnWYm/CvzyO/wIykJpbmsgYUIvV6nz4uNjRCErZ5ZJExZwi5789pH8dAfA7fQoA0eCHLfLfbwFdVS5pkVC2PXTUmeo1XMkvbv7irKMJjEVON1aXG61vpQOgeIRScq1IkoxOq/GtePDhowYoKxl06LQabE6RtEs4UbEsgiRhSEkCwNy4GWjqztRbd0ZaCziMgeSHK4ou6syp6u1bxxMYATItl17Fs4qwu6TiIi/Kige/Wu4N4MPHxUaAX+lKhuRcqy/vCUU4GbIy0DiUJOmiJs0r3uE/xiV/F8yKbgFAcGE+AVXo4VCWup7AaHGJmJ2+ugllMdvdpBco4slPr0XvWxrpw0eVMBq0aDUa3KIiENTstFqXEQDD6dKHULNPJFSNmTNn0qFDB6688sp/5ffLslJaOSu65iGHQoeIW1QSGEsqMNaWWKgtuxlmxR3oEwmlFFhdntLNyhIu39Hx4aMi/IsFtSTLpOTZcF7iKxlKEFA6ROpOJHg+K2raok49VP5rIuHpp5/myJEj7N69+4L+XpPJwaxZsXTv/iOndmV6PAkAUWeSqm0vvzhr1+YUWfPrcV6+fTlpp0wqjRacdjer5yfw6p0rsZrVSwByu0RWzU9g0iNrKbApSwDVOBncbomfZh/kzfEbVbBWiiTJzJm1n28+26uqXVmW+fKTPaz688RZn2cXOcgzK8fFqNeiq8aa5hIB+u5b29m984xqY83NVQTdR9N2EH80VzW7xxPyyMu1MevzvSQez698h2rYPZ6Qx5xvD6hqNyvLgt3uZt6PcZw4nq+qbZvNzS8/xXEkLoe1q6oXgqwIq9XFrM/3kpJcyP59VSvcVlW7k1/fQlamhUKTemXXC00Oxj65muxsa4Xb5eWCTtBg0GmQZZmUXBs2p3je7bMyLLz4+GpyK7FbXeIP5/D8wyvJzlLX7trlJ3n5yTVkpptrtH+JFJDiDnk+K2jdjj++O8L99y/n9Gn15ora4pLwpcqyzN9/n+HBB1fQqNGXPP30OiIjjfgHG8iMbunZrkE18xIAUlKKEEUJWRDYuPQkDZsFI6mQo2C3ulj2YzzjRvzFDx/to1GzYGxm78uZyrLMjjXJvHz7cn78aB9hkUZO5xQhyTKCl0UCjhzM5r4RS5j+9g60WgGXl2VHHcUCLCfLyjP3LeeLD3ZhLnR6rcJlWeZ4fB4ul8TkFzcx+/N9nC5H2GWY7JisSlMsf4O2SsVPjsTlsG51Ep9/sofPPtrNvj3qTQgvPreOWZ/v5cNpO9m1Qz3xsW93BrcNW8SUiVvZu7vqS4Erw2EXGdR/PhPGb+TVFzcyUyWBl51ppXf37xn39FpuGfwb836MU8Xu4YPZfPbRbp5/ai03D1rIujXV8yxWhMsp8ckHu3jsgRVMGL9BNbumAge//BjH2CfXMHniFk6eUEcwZWZaWL3iFHfe+jumAgc//O/QWT/PyoIxI7XccauOB+7RsuwvmbR8GxZHxUsdszIs7NuVzv23/M6JY3kApCR5P1Hm59k5uDeTO2/6jU1rkjyfe3sPkkSZPX+fYeT1v/LjtwerZU8AtIKA1eUmIOGo53NT63YE1jOwdOlJYmL+x7hxG8jJUVfcqMlFLRLy8+20eIbZAAAgAElEQVR8/vk+Lr/8e3r3nsfKlUmMG9eDxMRHWL16FNEdwslsUioSGqWcOK+tshO/LMukH81j1Yd7mfPYevatTwVg3OfXMn56P5q2Ca3WOC2FpR4Cq9nJH9/F8fzwpcyfcYCOVzbgvQWDGfthX+o3DKyWXYDCfDu5GRYA4vdlMfmBNXzx6nYiGgUy9ccbeertXmj9deTalDFU54TITDezed1pzEVOPpy8nftv+R2HXeSb+cN444Nr0etrfnolHMnlu5mxbN+Uwl1DFhEfl8P02YN4YVIvr8XMij9OMOujXYx9aAUrfj/O69Ou4bGxPcrdNi3fRqHNhabYo1CZUJjxyR4mvLiRd6ds56nnuvP40928GmsJ5iIna1clMWXiVmLahTPg+uZIKsV8U5ILORqneCamTNrCpg3JqtiNiDRiKRa2WzalcN1AdWKxHTpFoC9efZKdZWXADerZ3bBOEQZFhU4Cg/Sq2LXZ3Ix/bi2CAPv2ZHA8IV81d3Oj6CAmv3sN69ee5ufv4/h98XFV7LaNCeeXxbeQdMrEiMELmTB+A6cSlZwtmw3GPqGlYUP4bbFAeBi8957EN18q14ZUwTzaqWsU3y+5BYOflodG/sGfC48x/rHVuCrwPlSFXv2asGDV7bTrUJ8XHl3Nu69vwVzkZOorm7w61jcOb82idaO5cVhrPn1nB/cMX8z+PYqQXr6k4mNdcqdIN9sJTTwGgK1+FI7QcAaObsvJk4/wwgs9+PrrA7RqNZu33/4bi0W5Dx85klPjMavNRSMSNm5MZv36ZGRZZsuWVO69dznR0V/x/PPradYsmCVLRpCc/BjvvHMNrVqVTuK5UU2w+wcA0DjpWLm2c08XsePneESXxLFNqfz28jaWvP43WSdM9Lq3PcEdwgHQ+murvRwyN8PCtKc2UFTgYOGXB3l+2FIWf3OY7v0a88HCwTz1di+atA6p0TEpKnAw7ckN7N+azsfjNvP2Y+tx2ERe/LQfr345gJbtwz3bZlvtuCWpyq2kiwqdPPfgShbMjWPUwIUsmneEx57vwS/LR9Lj6ujKDVSAucjJK0+vZeEPR3j2/hW0aBXKL8tH0k+FycBUYGf62zvYvDaZA3sy+WT2IG67q32F+6Tl2Siyu5SukRUIhaRTJn5flEDK6UICg/S0bReOXaUiMhvWncZZfCNNOJbHbwviVasOmXy60PN67PgruXZAM1Xshtc3el6PHtOe9h0iVLErCAJDb24DQECgnqu8PN9K0GgEpn3U3/M+MFAdkWA06nh1Um+PsDEXOcksFu7eEncom3enbPe8/2NxQgVbV4+GjQIZNqINR+NyEUWZTz/aBUBaKuTnCTw/TkPTpjD+TRv9b3Lx1Sf+WC3K6r6KboNNW4QwZ/EILusUwZSXNpGYkM+cWfu9Hm9kg0C++GEI4yZezZ8LjzH6xoUsW3ycBd9752kKq2/kjQ+uZfbCm5FlmYdv/5O3Xt7EB29u47efjpS7jwblPDXZnUhZmfjnKyK8oHWMZ5vQUH+mTevHiROPcNddlzF58nZat57NrFmxTJy4jU8/VTe0WlPqvEiQZZlPPtnDDTcsZO7cw3ToMId+/eazYUMyL798JadOPcqyZSO55Za2nov0rP01Gs40V764iKw0/C1FZ/08eV8Wi1/bzskdGfz4+HrWfXYAnZ+WQS915+5Z/ek6ohWSXutZDlmd0qNnkgp56+F1nD6Wz/PDl7Lsh3h6DWrOR0uG8tibPWnUvF6Nj4vZ5OC9pzaQcsLEnPf2kBSfz6OTruLdXwbRtW/0P57GJRkyLVVr/uRyirzy1BpOxOexY0sqjZoEsWDl7Tz6XHcMft7VF5BlmXde3UzyKROFJgeNmwYz7YvradAoyCu7Jcx4fxd5OUps3+kQ2b4pBXcl31lJsSVPe+nzCIWZn+3xPN3XjzASGRmAv786FRxX/JUIQGCQnrm/DGPcS1d57VEpISVZEQkPPXo5jz7ZVRWbAAaDlnohBvz9tbzy+tWq2QUYMrw1AH2uaYJBxeJX3a9oyJj7OgLqiQSA1m3D+GXRCI93IqHY1e4tHTtHsnbLGK7urQil+CO5HItXJ1/F4RAxFzmBSMCPhfPjOZVYgKVQQ0qyQHRjyCiw4xJcDL/dSfNWIp++4w9Ufg/Jy7Fht5UK6O9mxpKY4P0x0WgE7nnkct54/1oy0xUh9snbf3Ngr/dhtG5XNuTnv0by/OtXs2ppIkWFTt5/YxvrV/4zTC0IApIsk2Ep9SKAEmo4l+joIL7++kbi4h6kb9/GPP30OpYsOc64cRuYPn2P1+P2ljotEiwWJ2PGLGP8+I2IoszPPx8lJiaMpUtvJSnpMaZM6UPz5pU/hae1KP3iGp8u/UIPr0hi2bu7cdncFGZYiWwTwu0f9uXWt3vRulcjNGWWx+ValRPe6qracsjEuFzeengtuZnKWuKAYD0fLR7Kg69eQWS0dxOipdDJe09v5HRC6ZLO4fe3p9/NLc8a87nk252VlmuWZZm3X93Czq1pns/SU804Hd65C0tY+NMRVv+llC/VagWatwrlUGyWKrb378lgyS/xALTrWJ+p0wfwwsRe6KpQD0EGUnKtpR4Fw9nJjBnpZub/dBQ/Py3jX7mKzTvvZeBNLc9vsBq4XCJrVyfRrEU9/lozmsFDW6tit4SU5EKuH9icqe9fq5rwKCEiIoDHnu5GdONgVe12v6IhDRsFcp1KoYayvD65NyGhfqqFG0ro0q0Bc+cNw2DQciJBvWTLBg0D+W3pbZ7Q1h+L1PEmpCSHsn/fCFq0vBN//7sQxcvJPGPlmr5a9Ab4fKaLPIsTUYSgYBjzkJMdW3Tk5wqV1gpq2SaMidP6cfOoGPQGDW6XxFsvb0YUvV8VUVTo5OC+TELDFcEiumVeeWqtKsmSOp2A2yV5wiOSJPP6c+uJLZPLU/Kn51gduCT5LJFQUI5IKKFdu3DmzBlM//5NPZ+98MJGPvnk3xUKdVYkJCYW0KvXPObPj/d8ptEIjBwZw7Bhrat04y8h9SyRkIAkymz5Lo7N38Yhlzln7YVOgiP8y7Vhdko43EpZX0cliYuHd2Uw7ckNmE1K/CmiUQBN24RyKt77G4elyMl7z2wkKT6fgCA9nXo2YMTDHYiIDsTlrPwCTK9kSeQ3n+7lr0UJNG8Vwh33d2T67EH8tnYUbdvX93rsRw9lM33qDjp3i+Klyb1ZseNuZnw/mAGDWnht2+UUefe1LfS8pjGzfhrCz3/dxk0j2lTrPCnxKHhyFAxaz/LIr2fG0rdfEzbtuIeXX++F0aheD4gd28/QsXMkKzfcSYeO6rjsS3C7JcLCjXwzd0i1jkVVadsunGefv0J1uxqNwJDhbRhwvfoiISIigAkTexEQoK5IAOjXvxkzvx1E4onq1WSpDL1ey1vT+vHN3MGsW53kdc6DxQIfTdPwxDMSOw9oGDs+lO49+rNtS3NkWeb+R13MnqVFlkFb7Mhp3EwisqHEmdSqCc2YDvV588P+LNs2hsef78GZ1CKvQwMAwfUMTJjal1W77mHmj0MYcUc7HHaRV59dV6nXsDIEQeD+J7rw/R+38tyEq7j6miYIGhj38EoSE/I8Sx6dokS2VfHMhp4onaMqEgkA6elmRoxow913t6ddOyUcPH78Rj7++MKuAiyLIP/LCzYLCwsJCQnBZDJRr17V3Ou5uTY++GAXer2WqKgAoqICaNAgwPM6MjKgSnaeXqJknLY8tp8XXx0DwNaBo5ja5QnyThcSFGkkODKA4EgjQRH+6Cpxa4b6a4muZ0AA6vlpy30qy8+xsWFxIlGNA2ncKoRGzYPxV+lmJMsy21acBlmmVcf6NGwWjKYG7UibBBsJ9TcgyzJlL6m0lEJ2bkmj5zWNady05qGQ8pBlmZV/JtKpaxRNvQiznI/j8XmIbonLOqkzyUaH+RMaoBwjm9PNurWn6TegmepP4gAHYjPPStZTE1OBA7PZSeMm6j7pl3DieD5t2obViu2TJ/Jp1aZ2bLvdEimnC2nZunpJyFUl7nA2HTtF1orthGN5REUFEBpW/gNNVdizS2DCeC1f/89N67agRcsfizQ885TMnAVZNIsxMmZoID16irz2rlJ8LCVJYOxDAXw930pkVPWnFYfdzeZ1yfQf2By9yv1TXE6RXdvSCA33p2OXKFVtOx0iB/dlkp9r48ZhrdEIAqdNFoqcind58JibCE+IQ9JoWLjxCO4AJQH97h5NKrVtMjmIjc1kz55MhgxpSQcv8npqMtdCHRUJalEiEvxsFj66tycaSSK5ZXve/3hRjewJQJv6/ui1AsY6XNZXpxFoGxaMVqPE1epO2Y8LS8MQf8KDDAA4XOIl3wrXx8XD4YNw8006YuPcNGqgRafVYLXJ3DxcIqiexLszbBzcq2XsQwFcc72La65388scA9FNJF6fZsdorPx3XGyUJCsWOVycLlRCG1q7jdHXtkcjiuS3uYzl89d4tq+KSFCTms61dXMWUxmHMZD0pkq2dOPTCegdNWtKIgO5VmXJl0Osm6WaQWl2VNLXoY7+CReEDJOdLFNpCWdfUygfdZFzr3FZhk6XQ3Q0fDNTadbkdMlkma2MvMdBfJyGtBSBy3uITP3URsPGMgu+N9DtSpG3P700BUJJmEGSZc6YS+eP8PjDaEQlfyG3o3pJwRcS9QKndZxTMV1ofDoBrSTSLDGOxA41i6Pm20QiAmV0GgGXJGOooyV98+xOQv31BOh1/wg7+Cglx+zELck0CvXHoNOgEcDq5ZpvHz5qmz8WC2i10KuvTHjxSmhZBkFQ/mk1AuPGy7z2iobnXpAwua043RL1QrUEBYPVLAAyfQe46TvAjSiW5iZcikiyjEYQyLLYPSX6AerHlS7trKsiwedJKCap7eWe1y0TDtTYjuJNUGJR9jra+KmEtCKlI2JtxNkvJgqsLk9DG51WQ6CfjhqkgvjwUesciYNrrtTx8ftavpyh4ZF7tSyYp5ysJbcqnVZJyr31Ng0xl8k88ICIqUh5TAgKlhFFaBBd+thQNnnxUkQAdBoNdrdIju3s0vk+kXARkRRTKhJaJBz0yla+zY0oyUgyZ6nKuoajTIau70SpGItDJCnbgrN4hYvRoKtWvwcfPi4E69doaN9RZvNON9/PFxl4k8wH72hJPK4UQdIJGgIMOjSCgNbPxRsfm4k/rGX8owF8/p4fT94dwFV93BgDSkXFpf4MoREEZFkmreifYeoSkeD28z+rkFJdwnfvLyajSWtsAUp9Am88CaAUJrpYvAnZVgd2t1jlSoyXMg63xKlsC1aHu1goaDHU0eRVHxcHBflgKe5NZLfD39sEOnZW7kcREXDXPRJdusm8PE5LgEGL0U9Z1phd6CA510ajxjIff2PlphEu8nIE3njfzthXHej1PnEApRNors2JzX12mNGvII/gNKXEed5lnZF16i+pvRBcsq2iz0XWaDjdphMAoXlZhOZ4V6Er7yLxJsiUhh00vrtCpYiSTFKO1dNB0l+vxajyci4fPirDVABPP6rlliE67r1Tyw//0+DvD2FhcHB/aY+FsHB44SWRg/sF9uxSOjmm5lnJLnJQWNx3KaaDxM2jXEz+yE6/G9QpM34xUJKs6HCLnkTvskQc2ud5nduxywUcmbpccq2iK+JUTOkX2epYrFe2LiZvgs0t1qgB1KVMhsnOmXwbkiyj9+Up+LiAbFwnMGygDkGAeb+56d1HZslvAsv/ErjrXonVKwQy0pXwgl4r0KG9jmHDBX7/XeZUtoUiu5vZMwx89Yk/RYWV/75LlbJhhvLu7lH7dnheZ3e96sINTGV89/wynLysu+d128Pei5c8mxt3sTfBqUL76H+TTIvdF3aoJgVWF0nZFlzFeQoBfjoMFZTF9uFDDQoK4MYhEl98IxLdGF58VcLthtRkgZ69ZK7qJfP6y1qMei1+Oh1hoQI5uRJOHJ5aH/2ud/PCJDvBF7Z0TZ2hbJjB6i5/NVPU3lKRkNW95wUYVe3gu2OVIbF9d0Stsio05vBOr+1JMuRYlLoJdd2bIAOpZcIOPqFQNewuiZPZFoqKSzn7G5Twg+/4+agtbhoq88jjymRvLW5XUC9EKbWs08EbkyWW/Snw8w8aLBaZTJMdk1miaYvSFQsxHST0dTOEXuuUFE2ynyfMAKAzFxEefwhQSjE7QsPL3a4u4BMJZXAYAz1LIRumnSIkN9Nrm/k2EZcoIUOlPR3+69jdIlnWqnWK9FGKKMmk5NlILygTfvDXnbfltA8f3uDvD42Ku2cHBIDDASmnBW64UcJPp6FvHy2ffCrw9dcygwdLdGtnQBCg5zW++h6VUZKHIMsyqUXW81ajjTqwB42kiK7M7up2QL3Q+IopncOxzj1pHa8knMQc3snua2/2yp4MZFncNK5nwOwU8dMKdbruQLbVQbBB5yuyVAPyLS6sDpEm4Ub89FoC/XQ43SJ2l+8o+qg99uwS8DfKdO+qxU+vPBfe9YCLbv1t/L1FR1RDma5X+ARCVZBlQIAsqwN7BWXYy+YjZPWo2yLB50k4h4TOpbGjdoe8DzkAmOxKXX+dRqjwxKorpBbaEIuLLNVdufPv4HAr4Yc8s5IIatBpCfLzeRV8qE/xgyxbNmi44goBo7+GrVtlbr/dzZJlToJD4MZhbp9AqCIalEqUFqfbUz/mfDTYs93zuq57Ei5ZkeBwuJHK6V1+KqYLLr3StKfdwR3V9qu7HeVfcJlmJTfB5paQauCrd9VSqd+atE51ShLpRRW3lFajL3x5SLWwnPRC54rIsrL64XSOUnxJoxEI9NPhr79kL0cftYBGgEA/HScTNURGCtxzt8RtI6B1ezdX9f73hEFtXW+1dW8QRckTZnBLEilF1gr38SvIo/4RpdZOQet2OML/2bnRXYdy1C65u5LN5mLGjH20afMdCZvS/vFzt8GPk5d1AyA8J536malVsiu6RA78dYofHl9PenzeP35udkpYnCIaQcBWDfey2y2x4udjPD98KTkZlirvVxmSKPHXD0d57c6V2IqTK6tDgcNFvl2pBVD2JJIkme++2MeTdy/DpaIbXZZlZn20mykvbVL14pJlmY+m/M13X+yrfONqMm3iVv5alHDen1scIiezzGd7Ffx16Crp9zHhhQ2sXnFS1bECTHxlE1s3p6hud/LrW9i144yqNl0ukalvbGXvbu/qmZyLqcDB1De2cuhAlqp2s7OtvDxuPYnH81W1m5ZaxCP3LSP9jPmsz/10GoKNOlKTBf78XWbGZzKGQBfrYou4/wnneayVcvpkAU/ds4zc7IonxOoSdyCLh2//k7ycmjXROx+b153m4dv/VH288+fG8dUnezw1YtKKbLgrESONdmxCKL5Hnek9oNxtfv44lhEjfufMOd/bf5FLRiRYLE4+/ng3rVrN5rnn1nPVVQ2JaBVS7rbHyoQcOuzfVqFdWZI5timVec9uYtv/jtC0SwSB4eX3cS/xJrgkudITDeDo3iwmjlnFz9Njubx3Iwx+6hTlST9dyNRH1zH/8wO07xFV48ppZ4psnmWRGqDQ5GDcI6uY9dEeLutU877n5+J2S0x9ZTPffRFLo8ZBqtkFmD0jlvlzD2PwUzc9Z9niBH776Qh2W8XFZ6Rir0JStgWHSxGRAQYdAQbtWd9LyVPS1s0pzJl9kLy88rOqa4LN5uZ4Qh7ffrmfjDPqCVG73U1uro0vZ+wj6aRJNbugHI8vPt1L3KFsVe36G7V8PTOWzRtTsFXy3VWHAKOO3xbEM+/HOGRZxm5Xx7afv5bNG1N4Z7Jyn9IKEOSnw0+vRRAE6kW4GPuqgz+3mnnxTUeVeywYDFriD+fw2nPrVfUK+vnrSEos4Ol7l1NoqthlXx1CQv04faqAB2/7g6TEAtXstmkXxn2PKvVzjp3Kp8hZ+ffWaPsmz+szfcoXCW271GfbtjQ6dJjDnDmH/tNehYteJBQWOpg2bSctWnzLSy9t4tprm3Dw4P0sWjSCiBblLwI+0q2f53XHvZvK3UaWZZL3ZfHri1tZ99kBQqMDGfVhXwaO60a9qIBy97G7ZQqKbw42l3jeEyM/28bM17fzzuPr0eoE3vjuBh5/syf1wsoXH1VFkmRW/nKM18esIi/Txitf9OfBV6/AP6Bma51kIKXQilScn/DHgnhid6Xz/qwbeGFiL/ReuM9LvBA2m5sXH1/NnwuP8erbfXnihSu8TvxMT1PU+68/Kk8JDzzZlXsfvbySvarGxtVJnD5ZwLSJW7l+cEtG3t2+SvtZnSInsyxkFdqR5NJGUX7FZZ1j92ay5LdjTJ20lfYd6zPqzstUGS/Ac0+sZuZnezEG6Bg8rJVqdmd/tZ8pr28BQG/QcHC/Ok/nu3eeYeZniudn6+ZU3pv6typ2LRYX8UdyuaxDfVYuS+S+O/9UxS5AYJCBW0bGMP/nI7wzZTuHDqgjbiIiAnhxQk8O7s/CaXET6K9HoxFwuSWSc6ykm2zc+5iT0LDqTUKNmgQzdfoA9vx9hq+n7yUny0rCkVyvx9umXTgzfxxCWmohz96/AovZSW621etQQZceDZmzaAQI8NDIP4gt9jB5K3B69m5MaJg/icfzuXfQbyz+5nC5YWoPkkT03xsBcAUEkt2l/G7CvW9qwZEjD3LDDc146KFVDBmyiOTk/2blKq9Egsvl4pVXXqFz584EBgYSHR3Nfffdx5kz6roWa0J+vp0pU7bTosW3TJq0lcGDW3LkyIPMnz+czp0jK9w3pVV7CsKUbdod2oneYUcucxJnHi/gjzd38Nfbu9FoBYa/2ZPhb/QksnX5nomyZJldSLKMWKZcs7XYw+B2Syz7MZ6XRi7jwPZ07n+lB1N/vJGYLjV/Kk8rfoLLSjXz7hPr+enjWHoNasa0BTfR+eqGNbYLsH1lEna3yIbNSn3yex+5nN/WjOKGId5PNB+/tZ3sTAtP3b2MnVvS+ODLgdx+Twev7UqSzEtPrGb+3MN88MY2brnzMp55WZ3S4NmZFl57bh0vPbGG0DB/Jr7Xr1qCRgZyipyczLJgtrvRCAJ+eiUE4XK4GfvkGvbHZvHYU90q9VBUh7hD2fzy4xECjHpeeHYdFnPl7uiq0KBBIAvmHQXgyYdX4m9Ux1vT6fIoZkzfA8AfixNo0LB8UV5dAgJ0vPnaFg4dyGbXjnTyVfTWLPo1nrSUInKybcz4ZA+5ueq5259+pjt7Yh8gIsKIwyGSU+QgMcuM2eHdOdJnQDMefrYb330Ry2vPrmPJ/KOqjLd950g+nzOYE8fyGPfwKr7/6gAbVyd5bbd5q1DmLr6FJs3r8dTdy1iz7CSL5h3l1ImaeRZK8hBEScYRomHg6BgWf3OYD57dhCnXTsL+bEy5Z58j4ccO45+viKmMK/sgFee3lUeDBoH89tsIfv11OHv3ZtKp01y+/voAsiyTnW2loEC9888bvBIJVquVffv2MWnSJPbt28fixYtJSEjg5pu9WzZYE2bOjEWWZXJyrEycuJUWLb7h7bd3cNttbTl27GF++GEIl11Wv2rGBIG4HtcCYHDaCV64kuT92RScMbPqw70semUb5hw7N47vxu3v96FpNSZxtwQ5lhJvgkTc7gwWf3OYuN2ZvHbXSn75bD89b2jKR4uHMnBUWzReVOhLOJDDzIl/s2bhcV69ayWZKWZe/LQfj77Rk4Cg85+8VeHE4Vy+fnMnM1//m/H3rWT7tlS0Wg2RDQO9sgsQuyudhT8e4Y6bfuPk8Xy++GEw193U0mu7AJvWnObooRw+nLydawe24LV3+qq2JHXV0kQcdpHEhHxatQ0jPi6nRnacbonkXCvJuVZPCOLGgS3ZtO1ubhjYgqmTtpJ0Sj33fVGRIgpyc23cOqodgV6eGyU0aVbqqRtxWwwx7dQpKGM06rjuhuae99cNbKGKXUEQmDilj+d9ZKQ64gNg0OBWpKUWed7n5ngfOzfoNMVNmXTodBqW/nGc7l3msPdQNmrk8NmsLlq0CiUgUM/enems/CMRh0phkq5XNGT67EEcis3i5+8O8dX0PaokHoZHGPl6/nB6XduECU+v5bsZsbz72pZqu/MFSssupxRZkQS4a2xXxk+/hlPx+bw2ZiV//RDPV2/uOGvc0ds2eF6fLx/hXEaNakdc3IMMHdqKJ55Yww03LOTPPxMZPXppjRLL1cYrkRASEsKaNWsYPXo07dq14+qrr2bGjBns3buX5ORktcZYIbIs89Zb23nmmXW88spmWrT4lg8/3M3dd7fnxImHmT17EK1bh1bb7uEepSGH6MVL2b3gOL88t5kzR/Pp92hH7vr8Wtr0iUaowdK1XKsbZ3GBpaOHctn4RyLTntyAwU/L5Dk38Ogb3ocWcjMsfPbyVpITCvj+/b1cOaAJ7y0YTNe+0V7ZBbBZXMx6fTuiKLNjdTL3vNCNem2DsLrc6DQar04ql0ti2qStAJjyHVw7sDnNWlX/+ysPWZaZPaM0QXHXtjS2bVQvUW/5kuOe1zqdhss6epeXYba7ScyykFFgx2Ry0KVLFEuX386R44/S+fIob4db+nuKPVmPPdWVm1TwApXQtFkwoHQLfOEVdWvXDx7WGoA2bcNo3qJyD15VueKqRgwZrtiOaqCeSAgKNjBn3jACg5TQXq4XiXt6rUCQnw5/vRadVoPNKTJl6jZG3/4HJxMLiN2VrsqY/Y06HA7RMwkWmhxsWntaFdsOu5ulvx3zTIKJx/JZu0ydZFyjUceT46+kfqSRnCwr+3al8+fCYzWylWV1YC6Th9Dtmsa8M28QYZFG9m1O49CODJb9EO/5efT2jZ7X6b37V/n3REYG8Msvw1iyZARxcTk88sgq1qw5zbhxGyrfuZZRPSfBZDIhCAKhoerc2CtCkmTGjl3Pm28qa1JnzIjlkUc6c/LkI8yaNZDmzWt+8zh2eS+cWuWCHsJRso7n0/Xmltwzsz+dBrdA60ULYBk4maw8VVw7sg1BIWHPo/gAACAASURBVH606xbJ5LkDadPZ+4Q/h93N9Be3elxh/oE6OlwZRUCwOnVWv/9gL1lppQluezamUmRyklJoxS1JXtVPWPD9YRKPKRnggUF6IqICVKvFsH1jCvGHlaf7K3pFM2fxCPpd37ySvarGqRP5HIvLRasTGDfxaj7+9kbqhfipYzutkA4x3/L1V/sRJZmQen4E+eswGrReN40SRQmrxUWXblFnPUWrQcNGQWi1AjffGkO7qnrxqsjAQS3R6TQMuEGd768sr77RG41GIOI8uUU1pW1MOJ9/ORComUjQa5WlskaDzpN3kJZv41S2hZEPdPKE4/artOJDEARuvfMyflp6G+06KN/f0oXnX61THfz8dbz2bj8ee76HJwz19ad7VUmSlGWZkwl5RDYo9Wp++s7OKq+o0KB4EQodrnLrIaScMJF+utQrtPDLgxw/mIN/ThYRh/YCUNAqBkujJtUe+4ABzRheLFIBvvgillmzvGs26C2qigS73c6ECRMYM2YM9eqVnxTocDgoLCw8619NcLlE7rtvOTNmlB5AnU6gd+9oGjcOrpHNshyJLWSDqLi4m1NAV86Qn6ZO5rc51873L2zl6K5M9H5a7nq5O+FRRpKO/nPpZHWRZZlvp+wiKT4fQSPQrlsktz3aiXbdIlVxq29fmcTWZUn4GXX0G96SSbOv5/WvryM41A+XJJNSaK1xf4esDAtfT99LaLg/T790Jcu2jeG5CT1VuVkrXoRYGjQKZNoX1/PVvKG0Ucn9DbDi9xM0iA5k9oKbueeRy1WtqnnkYA6CVqBJ+zASs8wUWJzIxeWdg/z1BBi0NS7GZC5yERRs4Js5g/FTeYWHTqehcdNg1b0IoGSz9+3XhOtVCjWUJaZdOHfd20HVcEMJw0a05emxPcjLrXq8ucRzYDQoRbfckkSmyc6JTDMmq+IF0mgEJkztw4NPdfUk7alFyzahzF1yC2Me6sTOralkqbQU22jU8ehz3Vmy4Q6GjYwhKbGAVUsTvbYrCAKDbm7DT0tv5ct5Q+l9bVMKTQ6mv1N5gmtJXwaHWyT1PPUQuvWN5uMlQxnzfFeaxYQiiTIzX99O1KrlnqWPqf0H1WjsGo3ATTe15P77OxIRYQTguefWs1YlD05NEORqBGt+/vlnHn/8cc/7FStWcM011wBKEuOoUaNITk5m48aN5xUJkydPZsqUKf/43GQynXefc7FaXdx99zLi4/Po0KH+Wf9iYsIwGqv2xPz0kvITcRL/TmfnvGM867ebt07OAWD58IdZ9uD4KtmtCHuRk9Uf78MvyMBlfRoxaHhLNBqBAL1GlQ6BK+cd48ieLHr0b0y3a6K9DluUJfuMmbnv7+Wq65py1Q1NMQaWf5zD/Q1EBxurXbb5s2k7aNAoiBF3XIZRpSS3EmJ3Z7B9YzIPPd0NYw1Xc5wPWZb5cMp2Hhvbg1AVj3cJf/waT5ceDWlRJmxm0GmICDYQYtR7BIlblHC4JcRqxHZTUwrZvTOdW29vp/q4AeZ8e4AHH+1S+YY14Nd5Rxl+a1vVzxWA9DNmYvdlMmRY68o3riZut8Q3s2J56rkeFW5n0Gow6DRoNKXfb67ZSb7FWWHOwdwv9zP89hjq14LI2bohmdxsKyNGq7e6poQjB7P57acjvPbuNei88NSWx/H4PH769iAjRreje89G5W5TkocgSjInC8w4qujVOJ2Qz9ZlSUxdO4kemUoRpeU/rSD/sk4V7nd3j4o9DaIosWtXBkuXJrJtWxrffnsjMTE1f7ApLCwkJCSkWnMtVFMkFBUVkZlZ2vSocePGGI1GXC4Xo0eP5uTJk6xfv5769c/vWnQ4HDgcpS6cwsJCmjZtWq2BWyxO9HotBoN3dQPOJxKcVheGAD3Rp+J59cWRaGSZ7IZNmTxzJTUuKlCMyyGiM2g8N/bIQB2RgXoEoJ6f1qsnUFmWcTlEDP6105LD5RTRV/GYRwcZCTcalAmrCn+SLMu43bJXyyYrwuWSas22KCohFk0tlVYWRQnteQSkXisQEexHaECpWBAlGadbxFWFhmIV2VaD2rR/MY5dQBGABp3mLPGXa3aSZ3FWuQBsbY7d7ZZUn8RLUCocyrVm/3z3sLKJiqcLrWflIVQFgymfkTd2QyOK2MPq8+fiTbiCKw53VyYSzsVmc1X5Abg8aioSqjWbBAcHExx8tiu/RCAcP36cDRs2VCgQAPz8/PDz8y5WGxhYw+xrmw2Mxgo3Cc9Ko9vfq+m6Yw2tju1HKpnMM1JokhRPasuqrXs/H/pzCiLlWNyE+GsxaDXY3RJGfc2FjyAItSYQgCoLBIB0sw2DVkOQoWqNoARBQK+vvf4FtSUQgFqdqCqz7xJl0gvsZBc5qB9kIDTAgFYjYDTo8JNlXG5JSZI9z+Tyb479v2y7tu2fa1urETBoNejKNIBzuEVyi5yYrK7zdhusqn01qa0JHJT7gE5Xi/eB89zDSn5jhsVebYEA0GTzGjSiUuraPz+XkQO7kXFVX5KvH0LqtYNwhoadf2e3W2m0Yah4XvNGIHiDV9+22+3m9ttvZ8+ePfz888+IokhGRgYZGRk4neqstVaN5cshLAx++eUfP4o6k8SNi77h5ZdGMfWJgQyf9xnmemF8/+w0ltz3ome7bttXqT4sGUgvUuKKdrdUpUqMdYGSQkuOMhUZfdQeblEm0+TgeEYRmSY7LlEqrbPgpyQ56nxNpP5z6IuLZgX66dAXew+sTjcpuVYSMy0U1EAg+KgeJfUQ8mxOcm01m7earl/heb3pw9nEPj8Rnd3K1W+/zMhB3bjuqbto+9sP+OeUU1BswgRo2hSOqlOHQm2qFW44l6SkJFq2LH/9+oYNG+jfv3+lNmrqAqkWS5fCbbcpim3gQFi1CuLiWPb2V3TdsYbGpxNw+BmJ69GP2KtvJK5HPxxGJTM2uCCHdx++Fo0sk9moOW99sdzrkEN5NK6nJ8Rfh0aAYIN3YYf/EgaNhlZhgeg0Gl9r6QtMPaOOsAADgWW8S1Kxd8ElSqqspfdRfUq8Blqt4OkJIEkyJpuLfIvT1zr8AlKSqFjkdHHaVLPaFTpzEbff2A2t04E1sgFLlu0CjfJY5J+TRdONq2i6fgUN9m5HkCSyu15J8nVDuGLsQxAdDQ0aQG4u1K8PmzZBx44q/oWlXJCchNqg1kXC77/DqFEgikr7PUGAVq0gMRFbQBCHe1xLbK9BHOnWB5df+aGIsZPuJyZuNwDvfryYtJbqJ+1oBWhd3x+dRsBfp8G/Fl16FxqjTkvL0EA0goAky74nowuMQachLEBPSIAeXRk3tChJON0y7uKaHT5qD42geA30Ws1ZuSt2l0i+RQkp+ETbhaVEINjdIicLzDU+/q2W/kqvKUpS+7HRD7Dn5anlbmcoyKfJ5tU0W7echju3oHW7oH37Ug+CVgv16ilCoXPnmg2mAi5ITkKdY+FCuPPO0sbqoAiF6Gj47DMmWJrgrqBsZgmxvQd5REL37StrRSSIstIAqnE9A1aXiF4j1HhZ238Nm1sktdBK03oBPqHwL+B0S2QWOsgqdBDkryM0QE+Qvw6tRoPRALKsQZRkXKJPMKhJiTDQaTVnXctuSaLQ6qbA6vMa/FuUCASnKJFksngl0FouX+x5fWrIbefdzhkaxsmb7+DkzXegNxcyOjUW3nyzdANRhIIC6NMHtmyBLrWzKqi6XDyPq+fy008wevTZAgEUtRYSAkOHVkkgAOy/eiBSsfvoys1/IZxrUyVMdhFzcTtpawUNoOoihU436WZlbXhNaij48B4ZKLK7ScmzkZBhJqPAjtXpVpLFtBqMBi3BRj2Bflr8dBqPK9xH1dFpBPz1GoL8dQT56/HTKzUsJFnGZHWRkmvleLqZDJPdJxD+JUoEgijJnDZZvMoDM2am02CPUsyvsFlLcjt2rdJ+rqB6cNddYDmn5oQsQ1ERdO8Oid7XjFCDi9eT0KKFEtuxWiE9HezFxUtEEVavVvITqkhhWCRHu/SmY+xW6mefofXRvZzoqE5ToHNJL3TRKlwDGgGHKONfi5m+F5o8uxOdRiAq0N8jEi4eGVS3ECWZPIuyrE6vFQj211PPqCPAT/EwaDXgp1dyGNyijChJuEWfB+hcNALotBp0GmUJbFlhJUkyZoebQpsLs93tCyf8ByhJUpRkRSBUtRbC+Wi5YomngNKpwbdVL18tLg4yzil8Va8eREUpD7LB3hcFVIOLVyT07QuHDyuvZRnOnIFjxyAhQfEu6Kr3p+/sP4KOsUpPgZ4b/6g1keCSZDLNLqIvwrADKLXQtRqB+kY/8IUd/hO4xFLBoNUIBPnrCPZXMu61GgGDTqDE6ShKimAQJRm3JFd53f7FgkYAnUZJOtSeIwoAXG6JIrubIrsLq0P0nd//IcrWQkgutGJ1i94ZlGVaLl/keZs0+Nbq7d+yJbz/PkRGQrt2yr9KSgj8G1y8IqEsggCNGyv/rruuRiYOXnUdNmMgRpuFbttX8esjr5830dFbCuwi9fxFggxarC7l/4tltQNAutmOVhAI9Tcg+ITCfwpRUtziJeV+AwxKq+pAPx3+eiW2rtWUrjWXZLlYOMhIxf9fLN+nRvg/e+cdHkW9vfHP7G56pQYCoYfepEhHRJogKIqKiqLIz3oRUfHqFVG5KhZQULEXRAEBEem9l9BCCyWBhPRet5fZmfn9MUkIECBlIuXmfZ592CU7Jye7M/N9v+e85xy1Ta5eEAr/buGy61CWFawuN1aHhMXpxnUDTO2rxuUoSRBSzPYK9UK4FDViThF8Xp1lkdWpO5aG5Zwj4u8Pr79eaT+qGv8bJEEDiF4+HO09lN5b/1KJQsRmDg6oupHYaSaR5rdo2gEg1WxHLwgEeHkg/a9tR28i2FwSNpcEONEJ4OdlKBxPrMfHQ49AkWr/wjGyUkgYFAVZvvD6Rv2WdYK6gBSlC/S6Qt1MKcRckhVsLjc2p/q5OFzV0YIbHUUEASDN4sDoFDWxWzKKcDXB4s2OapJQDkQMvJ/eW1Ula58ty6qUJLhlhYzCage7KGHQCbdUMxwFSDLZaBzki7+nR5nbN1fj+kFWKAylq7swQQAfDz3ennq8PXT4eOjVWQOCgE4vXHZzURQFWVFJQ9FzRVFTFrICCtqmL4RCH4umkgqCgE648K9KBLhilE5WFByihMMlYxdVQuCsjhTcVChJENItdvId2jT50zkdNFv7JwCShydJg0ZoYvdGxP8sScjOtiGJEvpytEE+3/o20sOaUz85jhanIwlJiSOz4cUDYGz5DnyCvTRJDxgdEgGeEoHeeiwON0E+Bs3TDlazC7+ACra5vgocNhHvawxSUoBEo43GQX74exquSRRkWcEtynh6VW5mx6UQRRmDofSdY2Ugy0qVzXO4EaAoJSMNKgQBvA16PD10eBl0eHno8DLo8ShsN6wXQH8NNlhU1aMoF4StV6v0Ub82ofh5ESEoK9RZFzIut4zTLeEU1UFZ/+upg6o6f6tqjorD4ca7ROOwkgQhw2KvUDdFWZJxueTicdZFaLRtPV7GAgCS7hqOK+gqbZdLgd0qIooSHpVow/9P4dYtgbwCRFFizpxIwsN/4sSahPIdLAjsGfxQ8cs+m/8sfi5LMsdWnuf3F3Zw/oB2o1pTC5zYrCLoBDKzyz+D/kqQZYUVP57ktdFryc2sWKex0qAoCkvnneDtxzdht147rKcSBStWl1sVaF5hLVAUhdkzIpj05HrcGt+8Z761mxmv79TUJsBbL23l+zmRmtud+twmlv52SnO7rz27ifUrYytlQ1HALkoYbSJZJifJuXZGjVrOt79GcS7DTGKOlbR8O1kmB/lWF2aHiN0lIbpl5EL5v1AY6tfpLmgBDIX9Bkp7qNUYF4SEJQmCJCs43RK2wiqDXIuTTKODlDwb8dlWYtLNxKSbic+2kppv51yCkf97fC0HItIq9TlcirRkM88/tpZz0ZUfB18SsTF5PDpiOekpZk3tHjucwYODl5Gdpd29AWDHpgQeHLyU3Gxt7S777TTj7vmLvBz1HlmSIGRaHeRUsN3yH18e54Nnt2HMu3i0d/jy34qfn3tgXLntfjt9P4MGLSNDo7HbVYnrRhLmzZtH27Zt6d69aqoESsPGjfF07PgrU6Zs5957mxPeP7T4xlRWHLxjJGJhf4Ue2//G4HKSfd7I8jf2se/XM7TsH0qD9rU18decY2fFu/v5edp+ALwDPRErWbIDKoud+/oeln97kv4jmxJcS5vxxrIk8/OHh1j1y2l6DmmEt2/ZAlUKkGiyYhWvTBS+nxPJH/NP0mdAmKYDZlb8Ec3KpTG06VhHM5sAu7clsWnNeUJC/TS1e+p4Fts2JOCr8bjr1GQT2zcmIGtwfpWEscDBzs2JGAuciJKC1SlRYBPJMbtIL3CQnGsnPtvKuUwL0elmzqSaOJtuJjbTwvksCwnZVpJybCTnqo+UPPWRmGVl3COrWbYihqRcG4k5VuKzrcRlWjiXoS78p1NNxKSbicu0kpBjIyXPTqbRSa7Fhcnuxu6SLhur7R/gyZ7tSZw6XkqP/UqgRm0fThzJZOu685raDannR0qSifnfHtfUbsNGgeTl2Plk+h5N7bZoXRNTgZM3XtyKqGGfiNtur0derp0Xxq3F6XBfRBCybc5rHH1ldB8YRnaqhfcmbCEjWSViQXEx1D2mNtcraNaS7M63l9vuoAfDOXUql65df2PfvtQK+/dP4LqRhBdffJHTp09z6NChKv9d587lM3LkXwwbtpzAQE8iIh7l/Tl3kuFykWN2XNtACdgCgjnaawgA/hYjfrN+5c/X9+Kyubl3Rk8GPN8Rb//K38Bj96WzdMou8pMtNB/SiNxCtbnRKSFXInGbnmjinSc3ExWRwYsf9OKRyZ3Ra7DoupwSX76xjx1/n2f861154NkO5Qr5yooaUbAURhRKHrno5yi+n3uEp17ozBPPateF7ExUNp9M38vw0S14cFxbzeza7W4+mb6Xzt3rMXJMK83sAiz4/gQh9f0YOrL5td9cDuzakoROJ9Dnzkaa2k2KNwHQqOnVx+YWQUHV47jcMg5RxuZSqwaKtBAmu/ow2kWW/xnDqZg8LA43VqeEvVAzIErKZYt/WeHhqadx02DiYrTd8fv4GOg7sBFb18drajcgyIux49uzcmk02Zna7Upr1/Vlyls92bYhgW0btPO5YaNAZn51F8cOZ/D5+xGa2W3RqibzfhvBqAdb4Vs4LTHDUjmCABDesTbTfxqELMnMmLCFuFO5tPhrYfHPY+9/rEKzfDr0rEdk5Djq1/fjjjuW8NVXR27Y5nm3dLrBZHLy+us7adfuFw4fzuTXX+8mIuIxevYMRVIU9DoBm9ON3Vm+cpi9JVIOww//zW2jm/HwZ/1o0L7yNa4uu5utXx5n06wj1Gtdk4c/70/jrnXJsrixizIGnYBNlCt0Qh3dncr0JzYjOiXe+WUQvYaWs2TnCrBZRGZN3smR3Wm88H4vBj8UXiE7RUTB7BKLuzIe2J3C7BkRjBnXlhenVj7qpCgKdrubgnwHU5/bTFjTQP7zQT9N9AgZaRZEl8RPXx4hM8PCm+/31SynG7k/jeREE9vWx/Po0x3KNbb7asjOsnH0YDq7tiTSqVsIwTW0iSoB7NycwPlz6mLbuGmQZmmi9FSLmoID3KLMyWPa7PqVQkFl85Y1iDubT+T+NHI0DLffdXdTzp/LJ/pkDru2JGpm95EJHTAYdCz47jjxsQUU5Jdv43MljHywJT36NuCjt/dgMjrJTLdoYrdH34a89GYPlvx6ilVLYwB1k1FZtG1fm8cndgRg/o/HScnThjSFNgnknV8GU6OOD3OeWU/jVcsAcHt5V6qqoXHjIPbseYTx49sxadI2nnhiPTabNpUXWuKWJAmyrPDLL1G0bPkTc+ce4ZVXunH27NM88US74pt2k5q+iIU3rVyLo8yLrsPs4vttBk4RAkBfEniohxtDBcV0iqwgFfqREZPP0ld2E7s3jf7/147h/+mGb7CX+j4g1eRSxXuyglO6tr+yJFOQYy/WH3z2ym6at6vJjAVDaNyyfEKbSyG6JGKjcjDmOvjg2W3EncrjtTn9Kk08FOBUUj7nEwrQCQLde4Yy9d3e/HtGH00W8lPHs1n44wnefnk7JpOTWd8OwUej0P2m1XHMnLaHBd8fZ9zEjrRoVVMTuwBfzz7Mq/+3EV8/D0aP1W52iMPu5sUn1hF5II0aNb0rrUkoiYhdKcycpoarX356I+fP5mtiV5Zl7um7CICvZx1ig4Y+v/PqDmJj8og+mcNzj67FT4OoIEByogm3W0YQ4PnH1rJTQ5JQo6Y3Y8a1ZfmiM7z27CbNPmdBEPjPh/2wWkQ+nr6Xl57aoBnRGzexA8PubcGH03YTuT+ND9/aXTlfuaBBiDyVybxPDvHZK7twOtxs/bPy50eN2j689f1dvBgai49dJUuJQ0ZxOqly5Mbb28CPPw7lhx+GsHRpDL16LSI2Vv3+srJuDL3CLUESZFlh9Wq1z3VERBo9evzOhAkb6dGjPqdOPclHH/UnoBQFv9OliqXckoLRdmVhS+SfsSiKwrk9aSx+aSexERms6X0hmnDnmgUV9v3wn7HkJpo5tPQcK96KwMPHwIOf9qX93U0uWxRdkkK6RWWadlG6pj5hzW/R7FoTX6w/GD6uNVO/uIOAQuJRGaxfGMPy704yY+IWcjOsvPnNnXToWb/SdotsP/vIajasisXDU8+jT7bXrOvkyiXRfPd5JPt2JvPerDvLHAYvC/bvSWHl0hgUGULq+2kq+kpOMBJ3Nh+n082UpzditWhTygXgdEhIboVtGxKoqZE+BdQUg+hSz1H/AE9attWmm1yDsEAaNFSn2NltbnoPCNPEriAIDB8dTnxsAZKkEBjspRmBrFffj99/OIGigMnoRHRVfudchI2rYtm2IR6nQyIhroD4WG1IAoCpwMntfULZsDKW2Og8oo5qE7URBIFpH/WnWYsavPD4OtYsP0tqsqlCtnRcaJSUbLLhVdebKbP6cvZYDu8+uZlFc45eJjysCHz9DEzR7S1+/Y3cg9kv78KkQeRm4sSO7NkzloICB926/c6aNXGMGbOaTA1TSBXFTU8SFEXh5Ze38d//RjBu3Fp6916E1SqyceMYVq4cTYsWV98xOwsv1nyLsziyUBInNyRyYFEMaz84xObPjlKneRCPzOlP+qSnsAQEA9B17waCcjPL7XvSkSwOLTnL2g8OceiPs3S8pwljPu5NzbAr9+w2OiTy7epQnqvpExLP5rP825Ms/eqE5vqDnAwrK386RdT+DCxGF2//eBctNEi1AFiMTjYuOUt2mo1pr2znxKnswrr2yg+FsttENq6OKxar/jzvKFkaqYudDjfHDqpVLbKskJJoolZtbTpy2qwiuYWVLYFBXrw7awB+/hqVrZY4f+5/pDU9+jbUxi5qiqEI45/XdqLdnUObAODlradrD23IKUCPvg3o2EWNEtZv4K+ZXQ9PPe/PGYhXYcRRS5IwZGRz+pQgSufPFWhm2y3KFxGDvduTNLO9YWUsOVk23KKMosCKxdHltlE0rEkubLVc1CipQbMgbusbSnKsEadDYvX8M5X2t97BPdSMU32MrtWS2WslzAVOFn+hjWi0e/f6REY+Tvfu9Rg5cgW7d6cwYcKG665VuOlJwrvv7uPLL49y6FAGa9eeZ+7cgRw/Pp4hQ5qU6Xh34XhcQRDIuyTtkHgki90/qvMfUo7ncNfkTox4qzsBdX0RvbzZPfRhAPSSmzvWLyqX36YsG5vnHAMF7AVOOo1sSu/xbcrUtyHDLOIo1CdYXZdPixRdEt9O31+cxqhd3w+/QO16ISz6/BhOh3qTs5pcbF0ep5kqfsPiszisqkbE29fAjj1JZJjVBbKyRGHLunishZGYHv0a8NkPQ6hbT5vqg2OHM3AW5lWnTOvJq9N7a6ZHSElUd1g+vgbm/nI3oVchkeVF0akTEurH5P/01MwuQKNmKolu27EO3XuFamp7QOH13a1XKF7e2rV7EQSB/5vcBYDQhtoO2GkWXoNJb/QAwOXSTtkvCAJT3+3D0FGqmFXLSELHriHMX3EfTVuo3+Xe7cma2b7v4VY883LX4h4EK5fGlIs8lZzmmGC0Yi7RatlmduGwX3i9dXks+ZUsIW+98Ifi57PpT1Fvjt2r44nWKMLi5+fBkCGNi+8d69bF8803xzSxXVHc1CThs88OM2PGBYVsYKAnHTrULneDCodTXWjtLrWeGiAn3sSmWUdQCq9lWVLIiM5HKaGa3jXsUdyFg6L6bFqKh7NsJ6HbJbHxk0ichQuWl58Bp03ElFm24xUgxeRSe+Yr4LgkAvLnN1EkxxoBCGsRxOCHwmnRQZud/skDGRzcqt4ouvRvwHvzB/PEa13Q6St/KllNLjYuPotOLzBkbEtmr7iHgfe3IMfhItVsQ1EUtZtfBe2vXBqNh6eOKdN68tWvw6kTol154oE9qXh46pj55V2MKxRPaYXkRCN6vcAnXw+mjUbltZdi2sz++GvcVKt+A38MHjrGP9dJ80ZV4W1q0iAs4KIdtFbo1b8h7TvXpZ6GkYQiPDy+HT36NkAUtYskgDpj4r1ZA+h9Rxjnz2lHEkCtSPhl+b3c3qcBZ8/kahZ9EwSBMePa8sf6B+jYJYS8HDs7NpdNq1FEEERJ5nyBBdsln2dYi2Be//IOps7tT2jTQESnxKqfT1fY18DzZ2mwbzsAlvoN6bFkKmMndSKoMD03/6NITfQa3t4GevSoz2OPtSluDPXqqzs5cya30rYripu24+KPP57g1Vd3EBzsRd++DejXryH9+jWka9eQcttSFHCJMl6eevIsTiSLm7UfHEJn0NGiT10adalLo8618b1E+W2qWYfIPsPpsXMV/hYjPXasYk9hdOFq2P3DKYwZNloNaEDz3vUJ61QHfTk7kLkkhTSzi7AgL+yigtOmcOxZswAAIABJREFUIFoNxEblsmXZOfqOaMLA+1sQ3rGWZjdotyjx++yj9BzciFET2tIoPFgTu0XYsDiGZu1q8virXWjY/GKtQL5DxC0rhAX6qkRBUSjPJZl4vgBjvpNfV9xHq3baL7SnT2Tz1a/D6abxjhkgOcHEfz7sp1nuvSQUReHeh1vR+w7tbRsMOvrcEVacGtASgiAwYEgTeg/QtmSzyPazL3clMd6ouW2dTuDdWQOY/V/tyv+K4OGp55NvBvHi4+swG50EBFVee1SEgCAvvph/Nx+9vYe9O5I1Fc+GNQnih6UjWfDdcVYtjWHwiGZXP0ABQSfgcEskGq2IVyh3FQSBTn1Cad+jHttWxLHq59OMeKI1teuXf3PQZtGPxc+jH3kan2Bf7hnfhiFjW7JnbTxrFkSzYVEM9zzRpty2L/W5f/8w+vcP44svBrJo0Rl++CGKxx5by/79j+GpUVVTuXxSrnPCw2QyERQUhNFoJDAwsEzHZGVZ+euvc/Tu3YD27WtXOKzb/7O9F7328zGg0wkoJhFvN4SEB19zhxwWd5o3po4BIKNBM96fuwpFd+VjzNl2cuJNhHWujUGDLzzE38D2H0JIPuuBHoHMFLj9LjvjX9de8JKWoIa9Q5uU7XsqDxRF4UxkFm261r0qqfEx6Gkc5ItBp1P7/5fR/rnoPBo2DsTHR3teLIoyyQlGmoVXrmLkSoiPLSgO92qN/Fw7Bg89ARqmo0oiNdlEgzDtzxdQuxhqmXopCUVRSEsxV5nvyQlGwppoJ5otCWOBA9ElU7uur+a2FUXh3Jk8zUSol+Ls6VzCmgaVep0KXGi5bXG5STJZKU87DKvZRWayhWZty1d15JWXw+h7eqJ3OXH5BbBi7QHc/hefd7IkcyIigw4965VZ9/VY17LpfxRF4ciRTAwGHZ061S2X7yVRkbUWblKSoBUuJQl6nYBv4ckZEuyDj2fZFpTJb4+n5Sm1KdQPU+dwrLDZ0j+BHd/UIzvajwcm5dOxjx1blidzXqtDeEcnT0wtwKNq7v3XFR46gcZBfngb9OqwoOvtUDWqUY0qRckSx3y7izSL/R+77jt9/Qntf/4SgNOPP8vRydM0sVtWkqAVKrrW3tSaBK0hyQquwtxWrtlR5s6Gm+7/v+LnQ//87iLFeFXi7K5ATm8Jxi/EyaHNvpw+6I1/iMh/f8+gXXcnbvHWHC4kygrnCyzFTZf0GlQ+VKMa1bgxUbLEMcPiIPUfJAgeZiMtl8wHQDJ4EPPwhH/oN984qCYJl6Bk74QCS9laep7p3IfE5u0AaBR/hnZHdlWliwCIToE9P4XQ6DYrLfqYCLnNxMKZtYnY4ItLluk5xI7DLhB3yoN9G7QpxbuRoHZntJFT2Ha1MoLGalSjGjcmSlYwJJls5Ngr12a5vGi15Bc8rerMhvMjH8RWT3vN0Y2O6vtqKXAUluEYbS4cZVEhCwIbxjxb/HLYsm+rPJqQcCiAwHoi/SZm0PIOE016mmjV30RGggeiohB7Rs+Hz9Zh/sc12LAogEl31ycl7qbVqV4RGVYHqWYbsqKo/RSut0PVqEY1Ko2iyKAgCLgKKxhKljj+EzBYLbRe/BMAsl7P6fEv/KO//0ZB9T21FEiSgiiqvRNyTGVLO0R1H0hqI3VmQbOzx2l58kCV+ujlL6FI4F/rQq9vpyRzLsqTlHMezJ5ch1ZdnEz+JJcZC7IYcJ+V9QsDkP7Z6+wfQb5DJL7AiljY76JapFCNaty8KNIf6AsFinH5FpwaTyctC1ouW4CXUW1MlTBsNJaG2sy6udlQTRKuAIdLKkw7yGVKOyg6HRsfeKb49d1Lv6nSaIJ3gITo1JEV64MsQXq0D8dW1iKsh5FNfwRQt6Gb+6ZkU6Ouygp8/WUyUwzo/vkKmn8EdrdEXIGleNx0tU6hGtW4+VCkPwDItjlIMFqRroO2Xm+30Wbh9wAogsDJp/71j/two+C6kYR58+bRtm1bunev/GS/qsJFaYcyhLqO9B5GZn2VbbY8dYjWx7WvhS5C3eYOuj+Uw6bZDVj1TiO2fVmfbg/lEBzq4tjWAB57JxODTsDslHC5FERRILiWhNNx6y6dblkhvsBarVOoRjVuQpTUHyQarWRa/1n9QUm0XLYA73y1gVHi4JGYm2g7mv1mwnW7h7744oucPn2aQ4cOXS8XrglJUnCVTDtcoyhX0etZO/YC4xy18PMqjSaE9zPx8JzzdH8kh3veTqb7QzlELq9F53tzKdDbcIoyCJCUoGPbcj9adHTh7XPrx+IzrA6STDYkWdUpXO/e59WoRjWuDIELBMFRGBH8p/UHJeFhNtJu/ldAYRRhwqTr5suNgOqN1jXgLEo7yAp5ZUg7HOlzNylNWgHQOO4Ut0VsqlL/vP1lGrSzEVRP1SZ4B0j4BEq4ZbV1c16WjmVf1iCwlpuhY1WVbtGaeSuvnSanSFyBBbtbwqDTVacfqlGNGxBF6QVBEMizu4jLt+C6DvqDkmj723d4mdRum/F334+xhXbdJW9GVJOEMqBotoPFIWJzild9r6LTseqxl4tf37P4C3T/oFrQN9hN0lG17WjMAT/+/iWA9AQP/m9mFg63jCxBUUPDon/TEw3EHPMkar92bVxvBLgkmfP5FnKr0w/VqMaNB+Xi8sZ/skHSleCdk0XrwhbMksGDE8++cp09uv74n71nnjmTi+Qs25AVtcmSym4zCuy4r8J0cxNNnOzcj9i2XQGolxpPj+0rK+1vfoqlTO/rOyELQQeLJjVj7y91cThgxCvpBNSQsbsUROVi31fP1zN7Si0Wzw3i55k1+OjF2pWugJBlhdxMW+WMlALRJWE1u8p1jAKkWx0kGq24ZTV1VNTetQhWi0uT4SyXwm6vGnIoilWz06pOy1QtFEWpks+4qs4Hu+3qG6KKwu2S0AsCep2ATXQTm2/GdI3N17WgKArGXEelfWv/0xcYHOqgvXMPjCO/dgNN7F4KY64DcznvZdcL/3MkQZJkPv30ILfdtoDkrallPs4lykiSOoUwx+y47GJXZIXI5bEsfXUP0TtSWfnYlOKfjVgyD4OrYiIcRVE4vPQciyfvJPVk2SaB3TMtmaGvpTLq3ST6TcwkoLmVrMKJkzZRwiXJKIrCnKmZLPmqHv1HZjFlVi6fr8xAEGDnqopPR1QUhYWfH+XtcRuxGLUTHimKwoJPI3lvwhbcFZigZ3a5ic23YHG51YhCiajCB//ZzaTx6zW/gf/7+c28+9oOTW0CPP/YGuZ9elBzu+NGruD3H09obvehoctYuTRaU5tOh5v7By5h89rzmtrNzrTywF1LidiVoqnd8+fyGdFnEWeicjS1e+xwBkNv/43kBG2HUe3aksjwXovITC/b5qSscNrceHkZUBSFLKuD8wVXHtBUHiz/7iTTx2/CmFfxBd0/JZHwvxYCIPr4cmrCJH56/yAfPLutUnYvhaIozH19DwMGLCErS/sZO1rjf4okxMTk0a/fH7z++i6eeqo9DQc2KNfxDqcbRVFwuCRM9gvM11bgZM37BzmwMIYOdzemZf9QzrfpQlS3AQDUyM2g/4bF5fZXdLjZNPsoB/84y233Nad+m7IPJqnV2ElAHTd6D/UCTM+TKHC6AQGLS2LxvCQOb29Oy87nGfmkTEANdTdi8FDITlfrJCuyZv71/Uk2Lj7L8Mdb46/hFLqty2PZvuI8gx5ogaGco8CL4C6cO59usRc3X3KLMnq9jsH3NNN0nHHk/jT27kimS4/6mtkEiI3J4+jBDJo013bgU0aaheiTOdSo6X3tN5cDZqOTuJh8dFcZelYRCIJA4nkjpgJtd3nBNbxJTjASH6vtuOXQsAAKch3s3ZGsqd0WrWoiumSW/V7xMciloUOXEGRZ4ZvZhzWxJwB6QcDXz4OUJBMfzNhLplW7767fPU1w2t3MnboH0VWxMdwdv5tdnBqOfnQijlp1uGd8G0z5Dj5+cYcmmx5FUXBKCuOmdiEx0USfPos5f76g0narEv8TJEGSZD7//DCdOy8gJcXMpk1j+OabwRi8y7fYyIoqZATIMztwihIpJ3JY+spusmKN3P1GV/o+3Q594SK26tHJyIULz7A/v8XPXPaTwZxtZ8VbESQcymTQ5M70erw1On3FFrGcBC/WzQzjdLSA0a7upLNSOlCrnoHpP3qpnQp1YC7Q4esv4+OrsoOiNVMuYzRz3e/RrPjhFPdOaFvpkaklEX00i98+PUL/kU0Z/HB4pe3lFgqkzA4RL089H84ZyAOPaOevoih8+fFBmreswYj7K+9vSaxYHE1AoCd3Db/GON1y4uBeNap2e5/yEedrIS1FFcuGNvTX1G7RtSBpsAstCQ9PPaFhASRpPCba29tAt16hROzUliT4B3hyzwPhrFoao2l6q0ZNb56edBtrlp8l5lTloh8lex/k2p1siUjmz59PsX1FnAaeqghpGMBLH/ch7mQuP888XO6oYM1Tx2i6fgUAzqBgzjyudtANaxHMv+cNICfdysf/2oHNUrkUgVNScLhl/MP82bH7YVwuid69F3HsWFal7FYlbnmSEBubz4ABS3jllR2MG9eGkyefZPDgJhW2J7oVRLea205ONbHu48MEhvjy0Ox+NL293kXvTWvSikP9RwLgZzEx4o+vyvQ70qPz+PP1PdgKnNz3fi9a3lG5G3ftJk76TsgEReTH/+zj4IYCzh715bG3TUiyUkwCzkR6cXyfN+26qwz/7HFPNi3x45eZwURsvPr8h21/xbJozjGGPBzOmOc7VMrfksjNsPLFv/fSpHUNnnyjm2a7fackM3XSFr6dG4ksq2kkFDSpgNi5OZGoo1m8OLU7+muMGi8PHA43a/86y/D7w/H21rbF9uGINJo0D6ZOSMVTTaUhrVBLU7+BtiOd9YUkQZa0z/E3ahKkOUkA6HVHGFFHszBqHP146Il2mE0uNqyM1dTuw0+0o36DAD7/YH+FUnFF0YOi1srxBVbSLQ66DWxI72GNWfj5MTILSaQWaNsthCde78ru1fGs+z2m7AcqCt1mvVP8MurpyYj+F6YkNm1dk9e/vIP0RDOfvrQTu7Vi+gmnW8ZRqH3Ks7lp36Y2+/Y9Sp06vvTv/wfbtydVyG5V45YlCbKs8OWXR+jY8Vfi442sX/8AP/wwlMDAyofATVk2HEYXBl8D/V6/jVEzehBQp/RFdOXjr+D0Vn/Wb+MfhCaevartM1uTWTl9PwF1fBjzSV9CwrUJK/vVNLP96z0kn8ghw2ojOMSNlydYXBIKCsmxBn7/LIg7R1tp3l7k9GEvPn2pNsf3eeMfLPPb7GB+/yyoVNv7NiTyy8zD9BvZlHGvdtFsIXc53Hz+2h4EQeDlWf3w9NKuXeT+zUns35SE5KcjrsCCrbBTY2UqINxuGUmSmffpITp1DaH/IG3auCqKgt0msnXdecwmF6PHahf1sJhdKIrCwb2pdO+t7fAap8NNeooZvV6gbn1tyYcgCAiCep1rrSVp1DSIxEKSoOXuvM+AMGRZ4cDuVCwaitaatqhB996hLP31lHquaOSzl7eBSf++nUP70tizXY2ASGUsT7w0ehCbb8YqXvBr/Otd8Qv04Nvp+5E0FA3f9UALhjwczh9fHOPonrQyHdNkw9/UiToCgLFJC84+NP6y97ToUJvX5vQnMaaA2VN24XSU7zN2STL2wr8z2yqSZ1cj0g0aBLBr11g6dqzDsGHL+fPPcpCbfwi3JEk4f76AgQOX8NJL2xg7tjUnTz7JsGFNNbGdeyqPyFknOPHbWRRFwae+L3b3lXNgxpp12fCAGrrSyTJjfpp5UbK/6AYnSzJ7fznN9nknaN6rPvf9txf+tSqXHxYLqzeseQ7+fns/+ckWRk7vQViXWriRiYrwRgG2rvRmybwg6oW5efhfJtISDMx7qyZ3jLIydW4uD79o4p2fs4g76YkxTz1lctJVwc2RXal8985+ut3ZkIlvdUenqzxBOBOZhSzJ/PTBIZJjjbz8aV9qXIGElRdbl8eSm2Fl/keH6dS7Pv1HNcUpyZwvuFircGkFRFnw6bv7+PuPaM6fy2fSv2/XjCzZrCL/fnELyxeeoWOXEMJbl12bci1sXnue96buJDvTRpce9cnO0q4qZdrL29i+MYGgGt6s/vOsZiK4qKNZzJ25H0EQOByRxtyZ2s1J2bpeFUJmpFr4z6StnNIoDCy6JOqF+tOwcSB/L4lm6nObNbFbhIeeaMfZM7nM/+Y48785ppndwfc0o33nusz9cD+b157ncMTVF14dJaMHEvEFFtItDi7NCvkFevLMOz04dyKXNQvOcGBLElaTNsTpsSm30a57CPPe2kdKnJFzJ3KQr0Bu9HYbt335YfHryFffQTF4lPre1l3q8spn/Yg7mcuc1/bgckrkleF6cUky1sI0da7NTbb1YoJRo4Y3mzePYdiwJjz00Gq+Kfz+nM4bY9DOLUESbDaRmJg8VWjzzTE6dvyVs2fzWbNmND//PIzg4IovtoqkkHsyD9ktc35lAqd/jsG/gR/NH2haXBaZY1L1CVfCtpHjyQ4JA6DVyQN0OrBFta0oHFpyDodFZO0Hhzi+Jp6e41oz6OXOGDTYNW/78jh5yWZWvLUPu9HJvTN6Etq2Jl5+Mv2fSWffGn8++b96bPw9iJqhLl74QK2e+G1WMPUbuxn36oWQa0aSAbtVh1tUF76fPjjEpiVn+fKNvbS9PYQX3u+F3qDN6bR03glmv7KbvesTefKNroR3rK2JXUVRWL8whunjNyNLChPe6n7RQp5rd3Euz4zZJV5WAVG6vQvP3W6Z1X/GMHPaHlq1q4V/oFeZd13XQl6ug73bkzkemYnLJWm6CHj7GFj9pxrdmvbyNs6dLlsFTVng5+/JkYPp5OXYWTL/JHXraRNNaN2+NisWRyPLCjs3J1K/gXZ6B9Els/iXkwBsXB1Ho6alR8/KDUFg4kOryM6wcmBPqqZVA8mJJiL3p6PTCXz1yUFSk0ya2bbb3Dz2dAfiYwt466WtRB0tnTQVkWpBEJALKxfO5VmwXuW+2P72egx9pCV/fXeSBZ8eIXJX2avNrga9Qcekj/oQXMuH2a/sYsGnkRzfl17qe9v9+jW+WRkApPa9i/ReA65qu32Perz0SV9OH87iyzf2suzrE5w6lHnF9xcRBEEQyLe7ybSUnqrw8fFg+fJ7eeqp9rzwwhbeeWcvP/0UxY4d1z8FcdPPDlYUhQkTNtCkSRCHD2ewdWsSjz/elrlzB1KjRuWV2ombksmPLiBpSwqWFCuN7w4jbGADBJ2AS5TR6wQMBh3ZJjuhNfxK3Um7Pb3468mpPPvxSwDcP/8TTt/Wj2M7szjyVyyxe9Kw5jkY/kY3mnQPqbTPAAmHM4nbl07i4Ux8grwY/UFvgkMv3KRrNnIx7ts4cuO8addSIMBfQOetELnLj5MHvfhirXpRFekVctIM+PjJGAwKZ4/nELU/g6j9GYR3rM3Ln/bFw1ObVEDSuQLOnVCFUqFNA2nUIhilcHdfWaQlmMhIUnOg/kGerF8YwyMvdbqI3IiyQqLRRqCngfr+PnjodehRz7NLl3yHHXKyBcIaK8THFuB0qDfEmFO57NycQHjrLpX2GSAv58JuJSPNwtBRLTSxC+BVgowOGNKE3gPCNLPdrGWN4uePTeyoWWTFw0NHv7sasW6FmoPvPaCRJnYBBo1oxtezDpGabMbbx0CdEF9N7Hp46Hjz/b48ce/fAJpqVcIaq/nzorbxWenaldVlZ1r5/IP9gNqmvjSSUNRSGcDicpNmsZepa2LSuQIyEs1Iktrj4NDWZPrfo03E18NLz8jxbfjhvwfJTrWyaek5but3sbbLLz2FNr99C4CsNxA5ZXqZbN/WN5R/fdiLL9/chywpZCRZaNut7mXnt1iCIBQ43KSbr65lMBh0/PjjUOrV82PGjAgCAjwJCwvg2LEn8KhgRZcWuOkjCR9+eIAlS2L4+OODnDyZw99/38eCBcM1IQj5MQUkb03FkmLFme+i4wvtaDSoIUIJImB3Fk2LVMgxXd4/oQgnbr+L6I49AaidlUq/Rd+zb/5pZLdCQZqVuyZ31owguF0Se34+Xfhcpk7zIOQrlCjUau4gV3Eg6SRkBQ7v8qLXUBs16sgoCuh0kJWqZ+UvAdzWz0FQLZnl30UVH58QncehbdrVlG9dfkF8ZSlwkp9j12xxidx5YafSKDyYeye0vWL0w+Rycy7fTI7NWUxSBEAu3BjFx+qYO9Ob0QP8+fVbT85EZRcf+9wr3Zg4SRuCAJCXowrddDqBmV/dpenOuUgA6evnwWvTe2tmF6BFSzUtUqu2D0NHajsgZ8CQJgA0bhZUvEhqAYNBx+PPdALUxVfLstg2HerwyIT2wAXhpVaYMq0nPQoXwaxM7UhC42bB/LB0ZPE5F3U0s/geVzK1IMoyKSYbCUZrmdsqNwoPpsfgMDw81Wswan8GtivstMsLu0W8SJMQFZFBWkKJCIui0O2TtzE41bLG6EcmYG5ctoohu1Vk7/rEYtHsuRM5HN97caRClGTMhQTB6HCTZir739WjR31CQ/0xm12cPp3L3LlHynxsVeCmJgkrV8Yybdqe4tfh4TUI10jo5zS6iFl0jqI+oaJVxJxoLpUE2AvbNttcbky2K+TVBIE/J7yJVDirecSan2jkUMNUBk8dSUeycVZQNXspjq+Kx5Sh7j79a3vTsEMtAuteeUckygrJRhcuSaZuIxFRUgpz8ypB+G1WMDXrSox6yszZY9mcOqj63bxdTd76biB9hzfRxG+7VWTvugQAut3ZkJlL7qbbgIaa2AY4UkgSBj3Ygte/GkBA8NVFrLKiDosq2YTJwyCQkSzw7qs+eHoqeHpCh9ukQpLgwV13301mem9W/+mBW6OUYn6u2gHupTd7cHtvbUsUvQrLgJ+d0lWzdEARiiIJDz7RTlPRKUCv/mF4eurpfYd2kY8ijHywJTVr+9ComUaphhJ4/pVuhDYM0Cw1VwSDQcdHXw2iUdMgstKtmoo5GzYK5Ielo2jYOBBZUrCaXMWpBUVRyLE5OZdnpqACXRP7j2zG2z8OomaID25R5lgZxYbXQlAtbyZ/0od/fdgb/yBPALb8eWEDErZtPQ13q2lfe626nJw4ucy2ffw8eO69Htw38cJ5veybqOLPvIgg6AQBk0MitRwEQRAEGjYMoHfv0OIS9Hff3UeKhlUg5cVNOyo6Kiqbxx5bC0BoqD/PP9+JadN60lyDJjOKpBCz8ByixY1XTS/CBjWg69TONLyzQak7C1lWcLoKS1ssTuxXmGCW3iicHSPGAeCtiHzvuZLe41vzxI+DGPB8B7z8ShfMlAeWHDuRy2MJqOvDgOc78Ni8O2l/dxMM10gHiLJCYr6Lmg1dnD7gw4ZlPqxb6MfiuUHkZ+l55TM1V738u5ME1/bm2Xd78M4vg2nRQRu9AKhVEoIg8Nx7PZj8SR+CNGzsU5BjJyE6n6fe6MaT/+6GoRw3aackk2C0kmS0snO7jrem+DDqQZF+A934+Cl06SFx+kQOTZo/QmZ6K3z9FBb/7MmHb3kjaqDFys2xM+SeZoybqF1paRG8vA20aF2Th8e319x2SH0/atX2Ycxj2lVjFMHXz4Me/RrQ507tUg1F8PY28MhT7WnURHuS4OPrwX8+7Kd5JAEgMMiLz34YioenHpOG3U4B6jfwZ9Ga+1m391GCgr3RCQJml0hsvoUM6+XCxPKgWdua/Pe3obTuUodDW7XrIyEIAj2HNOLjpcPpfmdDdq0+j90q4mEx0e3Tt4vfd3jqexeVPJYF3r4ejHmuA5/+NYK+I5qQGJPP4e0puCQZSwmCkFIBMWaXLiEsWzaK06efYvz4djgcbl6rgs6tZYWgXOeG7SaTiaCgIIxGI4GBZfuicnJsTJiwkY4d63Dvvc3p2rVehVT1/T/bW+r/p+5Kx5Zlp27X2gQ2CShzyNHbU4+Hhw5ZUWhU2x9DKXlHZ1IOM14fTahLXXR/nvIpkf1GlNv3K+Hg4hgCQ3wJ79+gQrsVD52AlBzAhp9q4e0r07aLiy79HDRs7ibuVB6RO1IY9VQbvH0rT2hKQlEUFn9xnKEPh1NL4x0twKHtKfgFeNC2W8VTOut+9yclzoPbe0k88gi8O9UHsxFmf2/nnVdz2buzMd8tttG8pUxOlsAT9/kx61sbbTuWHn5VlAsNq66Gvxad4e77WuCj8WcOagdHs8nFbd3rXfvNFcCqpTGMeqhVldjeuCqWAUOa4KVxzwhQO0UeikhjoEZVUZfiz99PM2Zc2yqxvW9HMiGhfjRvqU0VTElRIkBOrg2LXsEiaqu+d7tl/vruJPc+3Vbz71RRFA5sSUYQ4MXI72m17FdAFSvu+PyXsl2IV0H8mTxiT+fRbXjj4hTDtSII80aXjTwnJBiZNesQjz7aht6ViCRWZK2Fm5QkiKKkiZDjSiRBkRSECjJ9X28Der2Ap0FHvRq+xbXCRZAlmU6RO3juo38BYAquxYwv1mD3r/yuRVEUFJkKd2YsgkEn0CTYE0HW4ekJ/p569DoBWZLRaSi4Kgl1+A2alFCWBllWKmU7ar8Xn7xUm9c+z6VTHwd6QeDV0fWYNNXJ3aMkxo3ypXN3N1OmqTu43GyBj6d707mbxKNPX3k3kZos0CDs6pdgZX2/Xrar2n6171Vvv6QoUZRksmwOcm2um8L30lDzeCTDJo5GUBTc3j6sWbYNa/3KpzRdl4gUy6JBKCtJKIIkyZUSvFaUJNyUmoSqVnpWlCAA2J1uZEXB5ZbJLUXIqNPriLp9IMduvwuAwIJcRv86q1L+FkEQhEoTBCiccVDgRBJkFCDf4UaSlSojCFDoexXeeCpr2z9Ypkt/Bz99GMybY+sy940a5OUKNO9TwPkkkfOxOkY/7FZvqqiCz6R4Hf4BhX0wCoMJRf+mJQv88IUnrz3jS9+2AUx/xZucrNJ9vJE/l+tpv9r3qrOURPRWAAAgAElEQVRfUpQoyQqZVgfn8szkO8Qb3vcrQXCL9Jz5BkLhPfn4c69pQhCcbhmbKBeXOZZHpFgeaFkRUx7clCThRoaigMOhChmtTvdFg6BKYtnE/+DwVsWEfbYup+2R3f+km9eEW4bEAid2UcagU9mxW+M++TcTmrYWmTIrl4+XZnLfRDNpiQacNoFPXw1m41ZQUKjT2KmSHUEgJ1MgPk5H7wFqSLZovlFRYOmLj7zZv9vAlLcdbDhgJj9Xx+a1ajpBqth8mmpUo9IoSQ5kRSHb5uBsnplsm/OyEuCbDW1+/4Easeo00rxW7YkZO6FS9hRFncNQ1Ekx13btMsebEdUkoQoglRQymh3YSumcVVC7Pn89+Xrx60e/eQdv6/VTsJYGSVGJgs0lodcJmJxuRI0aBN2MUBTw8VPo2MuBw6pjzPMmJn+ahzFXR2hTkYR8G3H5FnLNIjs2e9C4qUzdumoKqAiCoJZPblln4N/vObi9t4R/ALRqJ3H0oB5jAej1kJ8nsHKpBy887suHb3mTFK8r9qEa1dAal5KDHJuTs7lmMq1OpFvgpAtIiKPDD58BIOt0HHjrIxRDxXUPRQTBUaLV8pUaJd3sqCYJVQTRLeMqDEFlFthwldK6ee/gBznTsRegjpN+YP7H/7Sb14SsQGKBC4tTVexaXFKZ66BvNRRPxZSgbXcH/Ueq9eitu7hAEUg574HdLbHsL9izB0Y85FDzuYraubHoYtu1xUCjpjIt28rFi37LthIpiTp8CrtPv/OqNyuXeDBwqIjTAR9P9yYvR6isvqoa1SiGQGmRAycxuWYyrA7ctwA5ADXN0Hv65OKeCDEPP0Ve204VtqcoCjZRxlnYJyHD7Lqs1fKthGqSUIVwuiTckkoUsgrsSJc2NBIEFr0wA7uPqubvvfWvGy7tAGqriCSjC6PDjSAI2MQLDPp/EX6BChOnFVCjjvoZtOjgonl7Jx+9UJvPX63Fyp8CaNPdQftBBepgG0lEUVSNuF4Q2LfDQN+B6k2l6JSIjtLj7aPg6QVb1xs4HGHgv3PsjBkn8t5sB2kpApEHrl/XtWrcOigiB7oSmoNsm4OYXDOZVsctETkoifY/f0Xt08cBMDZuzvEX/11hW4qiYBVlxMLBYqkmV/GwplsV1SShiuFwFHZklBWyjA7kSy7AvLoNWDF+avHrGzHtUIRUk0iuTV3cHG4ZuyhpPoHvZsUTU4288XUObbo6eerNAu6dYMbXX8HmkonLthFXYCbf4UJWFM5F6+k7QEIHGPRgMsKeHQbuHKZ+tisWezJ4hEiDMLXiw2aF7r0loo5Wk4RqVBxFpYxF5ECUZDIsdmLyTLdMWuFS1Dx9nPY/zQVA1uuJeO9zJO+KDYuTFQWLS8Itq83mko0ujI5bmyBANUmociiA3eFGURScolRqxcOlaYcHf555HTwtGzItF3JvTkkNu1UTBRWNwkWGPWqhbbcLjWwSz3rw6Uu1ObTHgzSLnaMJFho2cxN3VigWOUZGGDAVCAy7V8RshNMndIwcc3F+MzZGR1DwxZUS1ahGWVCUUigaWmZ3S6SYbJzNM5Njd1WqEdKNDL3DTu/pL6MrVAKfnDCJ3Pa3VciWJKsEQVLU6q/EfBcW1//GhVhNEv4ByArYS1Q8GC9t3XxJ2qHn9r/pumfddfC0bMi1uUk1ulAUBbHw4rk0QlINFU1bi7z5dQ4tOqjfuZe/TO8RZlat1LE30sXqv3V8P9eLkQ+I1AuBjFQdZpNAt17qjU0Q1J4L0VF67hh8caVENapxJVyqN1AUBZNTJL7AQly+hQKnyK1+xXb+6iOCEtRWzLltOnDy6ZcqZMctK+Q73MgKuNwyCfnO4oqG/wVoert59tlnEQSBOXPmaGm2SrBzZzKuKlCj5scUIJdyAqkVD+qNv8DqwnxJaWRe3QYsnTit+PXYb9+jZtaFgUTJx7I137ErikL6mbwKHWt0SiQWuJBkBUlBZdmFWxK3WyYxJl9LVwGwWURyNJxwV4SCHDs2izaz7EsiP8eO2y2j04Ov/4XvrssdDsI7unhzYjCLFugZ+ICFByeq/fbTkvWENVEoyFUHSoku2L3Vg9p1FVq0KqyYybFXSfTGXIEWsmWBy1l1Idmq+BzcbhlR1H4RsFpcuKtgccnJujAltEggW5RScMsy2TYnZ/PMJJlsVx3dfJndKrjWFEW5eNCSRnCLEqnxF0bbhxzcQ+s/flZ/5uXFvhlzUQzl71hqtrgwOdwYdAJ2USY+34lLqvw5V5BmIV3DceFVCc1Iwt9//82BAwcIDQ3VymSVQJYVPvxwPwMHLiVluzbzy0E9+RM3JnPy+zNk7C995rrovkAUckz2y0ojDw4YxaHCFs2+NjNPzvk3glsk4vdoVs84SNKR7MtsVsbfvb+cYcW0CHITK6aBsBVfNDKyAgUOtURywSeRvDdhC8Zch2b+Aiz4JJJ3n9qs+aLzy8zDvP9/2zRfcL55O4LPXrlciBoQLPPIZCNfb0pnyuxc+t5nJle2EZ1rpl5rGyH1JQ7uNaATBDau8mD3VgP3P6Iu4LIMLz21nvem7tTUV4BHhy/ni5kHNLWpKAp3dVnA/G+OaWrX4XDTtcn3/L0kRlO76Slmerf+iYid2s0QADgTlc2dnX7l9HHtrmGA45EZbF4dB5JSHDUQBAGr6CbFZCsWI4rlzCnsXhPPq6PXak4UVs8/w/Txm8jPtmtqd+Fnx/jwue0Ycx14mgro9d4rxT879q83MTUNL5c9RVGwixKSQYdOJ5BvcZGQ70QDfoCiKGycdZS77lpKVpb2RExraEISUlNT+de//sXChQvx8NC+v7xWyM21M3LkX7z11h5efrkLTYZrMxxGEiVifj9H0qYUGg4MpX7vK88HcIkyovtCaaSzJLMXBP54Zjp5tesD0Dz6CG3f/C9H/4qj+9iWNOpSRxN/AQ79cZYTa+LpNa41tRoHVNiOS1KIz3NiE2X0OgGzU8IlKTw8qRNBtbQb0LRvQyJ71iUw+v/aazpR8EREOpE7Uxk6tqWmY4HjTuZy+lAWvYZc/Rzz9VeKyyAlRUH2s9Omr4UP3/bivrt8WPSzJ30GuHlwnIgOEB1umrWoQc/+2k6DzM60kpZipnmrGpratZhFbFaRmrUqJha7Eorancsal+PWDvFDkSElSdvdbrPwGuj1Og7v12bKYVE6oUu3+oyb2BG9QYcoqVGDc3lm4guslUopdLmjAZ5eelb/ekYTf4twx6hm6HQCCz8/qqnde8a3xi3KfDs9gh7vvYZfpjq6OaNbL2Iefqpcti4tcdy29BzzJu9C1GhzIggCgyZ3JivLzqBBy8jN1ZYwaY1KkwRZlnn88ceZOnUq7dq108KnKsGBA+l06bKAPXtSWb58FLNn36lJm2GXyUXU16fJicqj5djmNB3RGOEabUUdzgulkZlG+0UNiuonx6J3X7i4n41bzvMjFLo/FK7ZInb07zgOL4ul24MtuG1080rbkxRIzHeSlm5FpxMYO7UL/e5vrtnOPCfdyvyPDtOlfwMG3l95f4vgFiUWfHqE5u1q0m+ktoN81vx6hlohvvQa1via7730ax38oJWvt6Tx8Mv5PP6fHAY9asLgq5af+vp58MGcgQwbGY6WLROOR6rjvzt21XbQU1aGGlINCdV2aFfRNaa1iNPDQ0fd+n6kJWtbYeTlbaBDl7pE7k+vsI2SOoOidIKsKBw9msGbU7ZyJttIptWBUwPi5BfgyZCx4exceZ68EumMyiKoljcPvdiR/ZuSOHkgQzO7ter58cz027nzwJ802rkRUEXjHmYzfukpZbZTVMFQssRRruNDVpyRbV8dR9FI5VmrcQCbNo0hOdnMkCF/UlCgbdRVS1R6lfz4448xGAy89FLZRCFOpxOTyXTRoyqhKApffXWEfv0WU6OGN5GRj3P//S01sW1Js3JsbhT2XAcdnmtLSPe6ZT7W7pCQJAVZVsgssCGLIsOWfcuUaU+QXbchP9YdBoAehQ/2f4a/sWLagUtxckMiEQui6XhPU7qP1eZzAMhLtTBr/GZ2/B0HgEtW64krK2iUJZlvpu/Hw0vPxLe7a7rb37D4LBlJZp6Y2lXTfvFpCSYO70hh+OOtyzWSuiQEATr0dNKktUi+w8X5AisxuSZ+++kEGRkW9Dp1odALQvHiUZm/4PjhDGrV9qFho4pHlUpDZmG4um49f03tFo1alqug1KNBwwDNSQJAt56hHDucUS69Q2nEQFEULC43KWYb0bkmzmWYWP9XLKcPl57mrCiGPdIKg4eONQuiNbU7cHRzmratyfyPIxFd2qUOB9fJYZZwQfB9ZPI0vMxGhj86jMabVl3zeLesYHZeqGBIKFBLHEPb1WLA8x2J3ZvOoSVnNfO3S5cQNmwYw7lz+QwbthyzuWo0QZVFue5gCxcuxN/fv/ixc+dO5s6dy/z588t88545cyZBQUHFj7CwsAo5XhaYzS7Gjl3DpEnbGD++HRERj9KihTbh1NyTeRz/8iR6Lz2dJ3cgqFn55pFD4TAoWSEoJ4MX336KEX98yfqRExhoeIEXcu8iKqwjoJZFPjnndYRKNvWP3p7Cru9P0mZQGH2eaqPZguuwiKyfeRjvAE8CO9QmucCJVNgbwuyUKjXzYc2CaGKOZvPsuz0IrKFd+iI/287fP57ijlFNad6+lmZ2QY0i+Ad5MeC+ZpraPXsql9kzItiwO5HYfLWfvkuSixcPnXChs2N5v9njkZl06haiKQkDyMooIgm+mtot7n5ZBSLzBo0CSEnWfvPStWd9HHY3Z05cXZdwJWJgdblJs9iJyTOTYLRS4BCRFWjdpS616vmye028pv4GBHsx6MFwtq+IoyBHu5C4Tq9jwpvdyEw2s1YjAuJhNtLvzRfwUFSd1zz/QRwZPYF1izaQ1nsAff/zIj1mvIbefnlURFEUnG4Zs9ONgtoDJj5PnVtThNZ3NqTrmBYcXhZLzI6yRyauhR496rNu3f1ERWUzYsRfWK03HlEoF0kYNWoUx44dK37s27ePrKwsGjVqhMFgwGAwkJiYyKuvvkqTJk1KtfHmm29iNBqLH8nJ2gqEihAVlU23br+xenUc8+cP44cfhuLjU3m9hKIopGxP5fT8GIKaBdJpUnt8Kph7VxS47fB2vnp/HPWykpk+5Wuejr6d9PMWhr/dg8XvfIEpSF3A2hzfx/ClX1fY77iIdLbPO054v1DueLaDZouBLMlsmnUEa76T4W92wzvAE7NLLRNyutUpkianu0KtnONO5bL82yiGPtKSjr3qa+JvEf744hg6ncBD/6p4e9bSkJthZe/6RIaMDcfLu+K94UtDxMZEfP096NS7Pg63TKZVHb4Tm2cmy+rA4ZaKhWtFUYayEAa73U30qRw6ddM21QCQlW7FP8ATP39PTe0WTQ3VWpMAEBoWSFqyWXMha/vOdfH01F+mSyjugMjlqQSzSyTNbCcm10y80Uqe3XUZ6dbpBPoOb8Lh7SnYrdpWbN39WCsEYN3v2kYTmrapyaAx4az85TRZKZVU+SsKPWdMxT9NXUtSwzvxumsov8w8hMsvgL0fziNi+iyabFrF3eOGUyP6ZIlDFeyFQ5oEQcDocBOf5yxV6Hn72JY0712f7V9HkXZam8guQN++DVm9+n4OHcpg1Ki/sV9hKOD1QrlIQkBAAC1atCh+PPPMM5w4ceIi4hAaGsrUqVPZuHFjqTa8vLz4f/bOO7yqKu3iv9vSe6iBQEiooTcBEQQLqKhYwIq9jI5lLGOdsY+jIyKW0bE3bCOKiiBSpfcekpBGek9u7/eU749zE1qAlJ0PGVnPw4OJJ28295579tpvWSsmJuawP6Lx2Wf7GDPmSwC2bLmem24aJCSuIink/beAwkUlJJ3VhYG39scY3ryNwCAfPskQEvDxlwVz+efHT7C311D+/OQX7Oo7gp5Tu3Pps2PoPqQDtoROfPzwHJTgYPxF8//DwB3N72pveMgV76xh+dxd9BzZmXPuGyrETloONlxu+DiL8n11THloOAmHpKp9skqhxYcj6PngDii4m6nQaKv34nUH+M9Tm+maEsPVAjfy0nwrubtr2bCkmCv+NIjYBDHZCY8rQH5GHUu+zMEUomfKVeJKOfn76qkqcbBpWQmjz+mOKeTwxk2vrFDj9pFvcZJTb6fC4cHhD6Co6lGE4UjSsGxRAVvXlyFLKkMF9iOoqsqSn/KpqnTSOSkSj0fC6xWjb19R6qC2xo3eoEOSFHZtbX2d/0h43AG6JUfjcUtk7a0VGjs0zMiZk7qDCpWlDlDUw0hBw8iixeunxOZif72dYpsbs9d/Qh+Fs6al4PPKbFtVyuZlJcLWHJsQxrkzerPyu3xsZi9Z26uFxZ7x58GERxr5bPaONo1GDpj3Hj1+WwKALyaWrXPf49pHR7NpaQlrfy5EBfZMvIxfvliCHBrG1Fum0+/rj1AUJehFo/Uf1No8lNuP3eyp0+s4976hdOwVw6//2o4tWEqTBYy1nnNOD378cTrr15dzxRU/4WvCFPBkoU09CYmJiQwaNOiwPyaTiS5dutCvXz9Razwhamu1FJLHE+D225dy882/csklaWzffgODB7dtIiDgDuCz+Qk4A2S8l0X1jlp6X9mLtMt6oWvmZjt1+xJ+fPZSkmu0D2/PqkLefeNOLt7yMy9OuJsHL36KtV9XIAcUOqYnYOgc1riZ5g06g5+uf7Ax1k1vPHaYfsKxIPlk9i4uojyznl9f2UFSeiJTHh6OoZU18iNjr3l/H/uWFpOxpJhxNw6g58ij+zEUFUptfmqCehR++cTCS153gLl/Xce8V3dSX+XinhfHCZtmsNV7mfPgWj59ZQfdU2M5b2bLxqKOh6oSB288uoHffijgnCvSiIwRd3KuKXPw9I3LsNR4SOgcQf6++mNeG1BUzF4/xTY3++vsFNtc1Lt9+JrIMuiAwUM7UVpoZ9L5PVn0XQ4Zu8TUtXU6HV9+uJdF3+VSVeFk1sULMAhoFAYwhRqYPvFrrZv9tR0s/+WAkLgAP3y9n/ff2AHALVf8hFvAybxBDtlu9vL6Bxdwx30j6N4jBoNBH/QCkKh2ecm3ONhf76Dc4cHul5qthOj3StRXu+naM5qvXt/Nt+/sbfOaD8VFN/RHUVReuvs3YeUB0Jojr3tgOHs2VPLO3zex5MuWx+66aTXD/n1QoXbTM6/h7tKNSdNTGXN+Mp+/soPl3+bxyxf7caSksfTTn8idcQOj5jzLWfffhMlcj6SoRC5bymMzz6BH/r7j/DYwhhq48IlRmMKMLH5xG9V5Vnb/JOb+mzq1F999dykrVpRw1VU/43D4efddsaPDrcEpr90mywozZy5k48Zyxo37is8/z+Stt87hm28uJjq67Q/qAz8VU7G+kt1vZuCudDPojgF0PbP5J66QgI+7f36HWLed5z//O5et/54PXr8doyJz8YjneKVsKHvezsJW7MBh8TaqMtY7fI1EYcVlt7L7jHMBiHTauX32Axj9vuP9WjKXlbDju3x+eXEbHVNjufDxkRhDxGy2eesr2L+qjPUfZtL/nO4MPcFkQJ1boiTYpyCrYPEc23J69/pK8jPqWbOwkMmXp9E5WVwj3f5dNdRVuinJtRLXMYxd68SMowFUFjuw1HrweWVW/3iAld/nC4vtdUu4g0RryVc5RMc1775WAIdfotLlJS+YZSh3uLF6/QSCvQzde8Rw05+G8vqHF/D3f05k6PBOjZtaW9E3PRFZVnE5Aky9NA2TSczjpmOnCPr018pwfr/MWZPEjDIDXHpVP8zB+rssq6T2aXkPU1PlA71OR3xwDDQ3u54vPtxLocVJdr2dQquLWrev1aZpIWFGtiwvobLYgdPmxy2wAc7l8POfpzYBUFZgo+yA7QQ/0Xy4nQEcFh9hkUY2LS0hc2vLshTRJYWMf/Je9MHGlL13PEj52VMAjaTe8PAITKEGPp+9k01Li1EUFdkUwob7n2LR7I/pvD+Dq2+6kNiffuDqOY8S7nYyfd6cE/7eiLhQLnpyNC6Lj5+e2kTGL0XIgsS3LrkkjW++uZjFiw8wduyXPPnk+pM++SCcJBQVFfHAAw+IDntMvPzyVtasKWPixG+wWLysW3ct9947QkjN3ZxtoWZ7LWWrKkCnY+j9g4nvG9eiGJdt/IE4pxWA1MoDPPTDXJaOuoBZN7zFyh0m7IUOVElh8F3pGCJNeH1aSt7pDWB2BomCTse8+/5JTVftYdizIJNZb/8djnEiD/hkdv5QgNfuJ+CVSRvXBVkSU19VVZWMX4pABUVWqS+yU3fgxGlCp1/hQLAZyKDX4Qo0bRC1efnBVOnGX4vJEXSyBdi/42DDmMclMUCg7kRVycFu+LOmpQgd1fQd4jJ36xOj6Ny9dcQpoKhYvAHKHFrzW269g6UrC1nwdTYFuVqNVXfIpnZkiaKln6i+A7SN3GjSc8W1A1q15mNh0pQUAELDDIwYK65fJSo6hMuu6Q9AeISRzknHnspoNEziICE4snygBDMFtW4vxTYXf7lnGVdd8B1vzd6KS5KF+Sbc8PAIegSfTW5nQFg/RWR0CDc9OpLQYFm1vsotrO8hIspEeKQRf9AkqabcRU158/oTjE4HZz98G6EOjbSUTppKxh0H9x2/T2benJ04bRphqqt0U5BVj9Mv45NVisdN5t3/LKSsWyo3zXmYMI/2e/tnbKF35rbj/m5VVSnaXo0x1IDkV3BbfORvFHfgGDasE+ec04OsrHosFi+vvbZdWOzW4JTOJGzcWM4zz2wANNY/bVoqvXu3bBM/FiSPRN78g2kk2Svjrm7ZvHC4z81Nyz9FH6xyNTxk1w88i+wl1ahBsQ7JJ1OxvgpVVpFkFa9f2zwdngAWl0YUvJHRfPDIG/hCtdPI6HWLueC795r8vZm/FuOxapmGkAjtw20SlLKvyrFQV6iRguhO4Yy7aQAd02Kb9bMBRetTaHCS9AXLDw1yzh5XgD0btA9br/QE/vHFVAYL3ACyd2qEY9CYzjzxziSiYkOFxW4gCWecl8ysh4YLnRLwBhuZJlycwpkXpAiL61cUisrtPP/4Wt54cztZdTaKrC6qXV7svgCBoJbHkcShKfLQ1L+2gSScd1EqHTqJnW5oIAmjz+xGmOAG0WtvHoTRqGP4GV3R63VHkYEjMwQNr5GqqnglGYvXT4XDQ77FSXadlimodvlw+CUu/5MmBhYaIXbNIWFG7nvpTMIijCiyis8jrqbdrVcsj7x5NmHBNYuUVZ50WRoPvnpWY0kxc1szsgmKwplP/4XYwjwArKl92fjc64eZmoSEGrj3n2dyw19HYDDqGTIhiehuUciqJpFfavNREBpP7qAxAOiDpErR65k+77VjHsBAI9KDL+xJ2tiDGeW9PxcKI2YOhx/lEPY4d+6OxpL6ycApSxKsVi/XXbcYWVbR6eC883oyfnw3wpvZSHgiFC4qxm/zgw46DElgwE19SRyU0KIYM9d+S5TncGasAn+f9xxqZjnoofPojox6bBip01MaexykQ+Sb7e4AVpdmplSR0o9PH/hXY6xLvn6T4RsPbxANeCV2/VCATg8Dp/bg+rcnMfSSVAyCUr37lhQDMOjCnlwzdyLdB3docYxqZ6BxTFIOyjn7ZYWda8sJ+BUmX57KUx+cS4eu4gR4HFYfZQU2zjgvmYfnTiQsQqwyaGWJg/4jOnLXc2OFiHQdCp9HpkuPaG58ZKTQuKCdFEPDjcy8ZwiKCs6ARK3bR4ndTY7Zwf56O0VWF1VOD1avH68kNzZEHkoemiIQw0Z25sl/nMX9j54hVPgJoFfvOHqmxjJ+cttHqA8lOno0nYTN+2/nnc8uapIM6HQ6ZEXLEJg9PsodHgosTrLq7ORbnJQ7PJiDr9WR20aHrpFceks6YYKeU4eia88Ybv/7GQC4BPtwpA1M5ME5EzCa9JQLLDkADJ/QjSffnUxUbEizSg6DP5hL8trlAPiiY1kz50OkyKMzPjqdjilX9+HlH6dx50tnEhZuxO2XOWDx4fApdD+QxcXf/Puwe1OvKKTm7iF91/rjriEkwsTEOwdx2Qtjie0aSe0BO5XZYvxqhg3rxPLlM1m06HIGDEjA6Qzwr39tFRK7NRB/p/4/QFVV7rprOUajnhdeGM+NNw6kRw9xUxKWXBt1e810n5xE1/FdCItv+YkzxmnllqWawYii0zUyVVlvoESOIXlYLGkXHXt8MiCpgExYqKHRNTIuMoS9Y87jx1kPctkXcwG48c0nqO/UjZLe2gTHviXFJKbEMP6W9DbJLTcFl9lL7QEb058fS7c2ags4guWHbjEmIkIMuAMK4Ylh/Om5MUyYJlb9EGD/rlomX57GLY+PFL6Jq6qKyaTnwTkThEpGN0AKKNzz4jjCI8VLnkfGhHDpLQOI79C0bLKkqDgViSO90EIMekINesKMBkIM+sY/Jr2+MYtiMhm46oZjq7A2dfJqyVnsgSfGMmx05+MSkKb+X3OyPEaTDkVRkVQFn6zgl7S/tT9t0/646Ib+FLWDARrA2Ck9yN5Zg9sZQKz6Bwwc3Zl7XzqTguM0zrYWvQd34OmPzuO9ZzajBkloU0hetYQhH2gGgopez/qX3saZ3PTzQiNyMuFx2vN726pS6v0KPUZoTdamgB9Lh84k1FahC955Dc/qG994nMc/23DCdScNTOTq1yawbX4eGb8UkZTesoPksaDT6Zg2LY2pU3vxwQd7efnlLTz00CiSjlP+ai/o1PawUWsB7HY7sbGx2Gy2Zo9Dlpc7KCiwMmFC9zaldSe+1vRNYMm1EpMSjaENjX5JtWW8++adFCT1ZlfvERR3TqGwcy/ydYkoBiNhzdRWMBn1hAU3ntiIEOIiQ9ABN7z1JGNX/wSANaETr/zrv1gTOlGda6Vz3zjhojgAlnInUQlhmASfgjpEGOkYaQyeTCHCZMAoUAERtBRp157R7fK6+H0yTpuPBMEp9V6wN4gAACAASURBVAbUVjjp2E4PB5vZS3iEkRBBKXsdNJIFk0GH5JGJiQnFqNdh1Om1v/W6dnkfWgJF1cS+JEVBUlQCDX/LCn5FISArVFU4SewiVk66AXVVLjq0U2y/T8bl8B+T+LUVVaUOughsKD4UlloPoeEGIprQ1UjI3st5d87EFBRE2vmXv5F9w11HXaeqKj5ZxR3Qxq8lWaXc4cfplTGXOo86PJl8XjqXH6BraQFdSgsYuGstEU4bT7+74mjN9OOgrshOfLeoZmdt3768+X06druPoiI7Q4a0vo+qNXstnKIkQRTGvrwGSVKIiBAr9CIaTREFkxTg/mduJW3/TgCK0wYy9x+fEwhtnwdDeyPcqKdbrImQ4FhYmFFPmFF/0jeT02gf6HVg1Okx6HWHSExzSPkCdOjQBb/XcBfo4OCDW1VRCWYfVFDQzLKU4PdlVZM9l1UVRdX+blACPakPvdNoMSKqyrngpksJr9f6igovvJyNz79x1CauqCouv9zo1ujwyVTY/ULcG0WjJSRBBFq7156S5QYRyC6zUVSgdbunpHYkJPT3+1IEgqNRDaUHFZX4yFDef+xNHnnsajrUlNOzIJOb3niCj/76Gqr+1Gs18Uha+aFzlIn4cCM+WSWgyO2SVTiNkw9FBb+qaHOap3Eax4HJaWfy/Tc2EoSaoaPZ/PdXDiMIqqo26rAY9FqpqMoZwOoVayv/R8Spt5sIQmrng+nb8lKzENWs9kRAUvD6DjYzmp0+HDHxvPvEO3jDtDT38M3LmPHRP4/bmft7hqJCpSNAidWHpKgoKjh8UpOjkqdxGqfxvw+dFGDCo3cRd0AzVrL36MXaOR+ihB4s12pjppq0skGvwx2QKbD4ThMEQfjDkoRQk6HRbjYQkKkot/zuNyKNKEiN45H1Di8VPXrz8cNzkPVaOWLSkq+OORp5qsDpVyio92L3aiqBPlnF4W9bs9hpnMZpnGJQFMY9+xBdt64DwBsbz29vfIYvTmsObDBmsnik4KFCpdoZoMjiJ/B7rC+covjDkgTQOkgbiILH7ae60nYKEIWDOgpOr0St3cu+ERP58p4XGq+55Os3Gb/s25O4yrZDVqHM7qfUdjqrcBqn8YeDqjLq1Wfo9euPAMghoax57ePGSQZZOTp7cMB8UIPlNMThpJGEt99+m/T0dEaPHn2ylgAcThTsNg+WetdJXU9zIElqozKj2ydRY/OwadJ0frjx4cZrrnn/eYZuXn4SVykGDp+WVbB5pcOyCseSdT6N0ziNUx+D359Lv28/BUAxGFj38n+oGzoqKFilYPMdzB5UObTsgf909qBdcNJIwj333ENWVhbbth1fAvP/Aw0CKQB1tQ7sNnHe6e0FSVbxBImCxy9TbfXw1dC7uX/wZyzgcvSKwi1zHzmhxOipAFmFcrvWqxCQtayCK6DgOoFZ1Gmcxmmceuj7zScM+WBu49ebn3qV8onnIynaAcErab4jLr9MgdmHWaC65GkcjT9sueHrr7ORbAcVYnTazBUAVRVW3K7jGygdC1VbqgkITnmpqkrV5mqUI5orZVnF49WIQsG6OH6dncQP+st5JGIuQ9hDRmAgd710D8kFWU3GlSWFnNVlwtP3AY9EYQvNWpqD6io3G7dUYXZrfRkBRcXikfBJSpv+DVUlDqpKHSe+sIUozbdiqxdvzlKab8XtFKuoB5qBjyhd/kNRXmgTvl5FUakstuMSaGYE2meistjeaKglCoqsUJxrwe8T20ynyAq5e+qEf4YlSWH/TnG+KQ3weaXj2k2nLPmB0a8+3fj19oeeoWDalbgDMg6f5owpKSrldj/F1oO9Bx67n/JM8SJPtioX1bniha8qs83s3y9+ve2BPxxJUFWVZ57ZwHXXLcadfbgGuU53kCiUlZjxeZv/oFBVlcLFxeR9e4DanbUn/oEWxD2wsJi8+Qew5FiP+v+youL2SNiKI+gywszgW/KY8qGF9A4FfMythLud3PvcbXQtzDkq7vqPMln17z3NMmhqCdZ+mMmyOTtxCt4g13+cxcLnt1Ja56HQ4sMbNIvySJovfGsbG+e9upPZ9685TC9dBD55eTtvPHp8edfW4D9PbebDF8RniGbfv4b5gm2GVVXl6RuWsfzbPKFxJb/MI1f+wtaVpULjmmvcPHLlL2QfZyNrDQoyzfztuqUcELyR7VhbwfO3raCsQKxU8m8/FPDin1ZRU9Y8w6XmYuEnWcz+y1rqm/DB6bZ2OeOefajx64xb72fvVbdi9kj4ZU2F0eqRguXHw8nWpnnZ/Prydlxmsc+cte/vY8m/duC2tu7Q2BQUWWXNe/u46KIF1NT8/svbfyiS4PVKzJr1C88/v4knnxxD9JjDJTQPLTuANhoZCJyY+auKSsGCQspWVdBjane6jm++lfSJUPxrKRVrK0mZ1oPEgU1LfioqmBJdSD49ujCJIpuP6kuHsj7sbGrpQJTTxvXPPELUvoMOi3sXFZG5tIQzb05vtkFTc7D/tzJyfitj/K3pRDVTVbI5KNpWTcHGSsbd0B9TmBGvpHLA4qPK4W/0gHD4JNyBlpUg9u+qYc/GSqbfmo5eoB5Dca6F3N11Qt0gAWrKnJTkWRlxdjehcW31Xuqr3fQaIEZWtgEel4TPKxMnWP2voY9IFUzs4jtFoNNpbocikdI/HqNJT95esSRhyLguhIYZ2LJCLFkaf2EKoRFGlgkmdxdc2w+TSc+C9zIO+37S+pVMeOwu9LKWhd1/5Q1suPUBPJKCUa/DKykUWXxUOAJNCiONva4fAGs/2Cc0qzLprsHIAYXlc3ehCOp50Bt0XPDoSOx2P5de+iMej/jsnUj8YUhCba2b886bz/z5OXzyyQW8+OKEJtX8Dm1klCRF01A4TpOcKqvkfpNP5cZqUqen0HNKsjCVwNKV5ZSuKKfH+d1JPqfpTSHgNpD1aT8sOfGUbexA6aYEavfEk70rDtfQrjj7JPEcTzPL+SlfP5POqmfiyV1Xz4ZPsxg4tQdDpqUIWSuApczJ2vf3kXZmVwZO6SEsrt8jseb9fSSlJzDg3MMNfcwemQKzF2uwsdEvN78Eoaoq3/57L0m9YjjrohRh6wVYMT+P6LhQzjhP3OsAsGNNOXqDjuFnJQmNeyBbs4pOPQYRbS2sdVp/T3uRBNHZH6NRT1zHcOpa6Ph6IphCDPQaEE9+Rp3QuKFhRoaelcTWFaVCN8eIKBNnX5rK6p8KhJZeouNCueTmdNYuKqI0X8uMJm34jYmP3IkhoJWO8qdMZ+V9TyOjGWlVOQIcMPtwB479HI6ID2P8LekUbqmmYFOVuPV2iuDc+4dSnlHP9vniCFNcUiQ//jidXbtqmDXrF+H3sUj8IUhCTo6ZsWO/JDOzjmXLZnDzzYOOe/2hRMHvkygvNTf5JioBhezPcqjZWUefq9LoNlGcrXH5ukqKfimh29ld6TG1+zGvy/+uNz5LGN0mVND3mnxyf0om9+duJPR20HNGMRd3W8LC0Mu5kc/JUfvSN3srO97QkTy0AxNuHyiM0Eg+mWVzdhIRF8KkuwcLlVPe8lUOHpufs+8a3Pi+HPa7FaiwByiy+PBKB0sQJ5qC2L2hktw9dcy4a7BQ0yeX3c+GX4qZdFmqcMOn7avLGDCyE5ExYqXED2TWExZhpGsPsZr8B0mCuKwS0Jj1UdthyCWxcwT1VeLTwL0HdyAvQ3z/wBnnJlNRZKdccNlwytV98Lkl1i0qFBp36jV9iO8Yxn//vZeuG39j4iN3NBKEnHMvZtmTr4LRiNUrUWD2Nrsxsd/k7iQP68i6D/bhFdirkjKqM8OvSGP7/DxKdosrJZ91Vnc+++xCFizI49FH1wiLKxr/8yRh9eoSxo37CoDNm69n0qTmnewOJQpeT4DKI8SWZJ9M5kf7Me+30v+GvnQZ00nYmqu21HDgxyK6jOtMr0t6HnPDVSQdropIuk2sIDbNTuIgM+m3ZBPawUP3iZXYS6LIWtOV5AdlLkxZSzheLpEWMkCRmTmzCzqB8s0bPs3CUu7k/IdGECrQrbA6z0rGL0WMmtGb+O7HNzlyBzRp5wq7v1FbwRXQ+hXkI0ieoqjMf2cvvdITGH3OsUlYa7D250ICAYVzr+wtNK7N7CV3Tx0jBZcaAAqzLaT0jxfukGmt02rEwjMJDfYN7XACS+wSIbzcANBncAfsZh815WLr/MPOSiIk1MCWFSUnvrgF6Nw9mhETu7H0m1wUgSPHIWFGZtw1mE7rf2PCQ7dj8Gv1/rxzprHyqbm4VT2FZh8V9gAtEcLV6XRMumsQkk9m/cdNN2u3FmOu7UvSgARWvL4bZ5246bdrrunPSy9NYM6c7bz99i5hcUXif5okfPrpPqZM+Y709ES2bLmefv1alko9lCi4nD6qgmJLAbdExntZ2IscpN/aj45DxZmy1uysI29+AZ1GdqD3Fb2OeyLXG1U6jazBvD+u8XumqAD1mQlYqw3kLu5Kjwk1BFJknnrg32SFdCOJCuzEc88rf6FrWb6QNedvrCRzaQljZ/Wnc5+4E/9AMyFLCr+9s5f47lEMv7z5tX2rVya/3kudK4AadPuzH9GvsHlZCSW5Vq768xChWQ9FUVnxXR4jJiTRoatYl7/d6ypQFVU4SVBVlQNZ9aQKsrk9FNY6DwaDjui4ltutHw9a/xDtMgKb2CWyyca6tqL3EO05IbovISzcyNDxXdm2skxoXICp1/alpszJrvWVQuPOTChhof4zTFKwxDD5In7521zK3AqFFh+eVsrkR3eKYOwN/cldU07xDnHTGXqDnvMfGo5OB8te2yVUxv+xx87gjjuGcP/9q1i0qEBYXFH4nyQJiqLyt7+t45ZbfmXmzH6sWDGTDh1aZ+N7KFFw2DxUlVnJ+E8m7ioPg+4cQEL/eGHrrt9nJufrPBIHJ9D36t5NptaPRMfhdfhtoWx9cST5C1LZ9/5A4nrbkH0GHKWRJE3SRhxrQ6J55M65vBbyMH3II9WWy/1/v5nuhdmNsVrzvLVVuVn9zl56jurE0Eua9nVvLfYsPIC52MGkuwc32361AYoKNS6JfLOvUYjJL6tYvRIun8SieftJH9WJQWM6C11zxuYqqkudnDezj9C4oJUaeg2IF25fXF/txm72kZoujuw2wFrnISYxTGhTaAN0ep2wZrJDkdg5AmutB0mwn0tCpwgSO0cI70sAreRQdsBGeaHYKYcBIzvRo28cv36Vc+KLm4mklb8w+a+3EapovQ55Ey/gy4dnk2eTjppaaA0GTe1J1/QEVr+bgd8trp8iMiGM8x8cTlWOhS0CXw+dTsfbb5/Leef15JprFrFzp/jx8bbgf44keDwBrrtuEf/85xaefnocX3xxEWFhbXN4PHTqweH0ok8OY/Dd6cSmirO2tuy3kv15LvH94uh/fR90huY9VMM7eBny5330vqIAnU6l+zll9J+Vg6sykugeTjAFOLC6goAngDU6nVWBc7i1m1Z+iXZY+MvTt9Bj/x4AFAkctUaylsdRlnFiUiUHFJbN2Ykp3Mi59w0VciJvKOnYKl1s+zaPgVN70LV/60+4AVml3B6g0OzF5dP85QMq3PfGRG56SpzaZ4O+wIr5eXTtGc3AM8SRD6fNh9cdYN+WKkaeLbY04rL7KczSmhZ7pYsjvLKkIAVkrHVe4aWGhntEr9ehqgiv8Sd2iUBVwVLjxitYqKfPkA7k7a1HUVShGg/DJyRhCjWwdWUpbmdA2ElXp9NxwbV9yd5RQ3GOBW8bNl1ZUen2wzec/cTdjT0I2wdO4ryq6VS6VGGkTKfXMfnPg/E6/Gyatx8Qd490H9KB0Vf3ZfePB4RqwZhMBubPv4TU1FguvngBJSVi+0vagv8JktBwc9XUuDjnnG9ZsCCPzz+/kOeeG9/mjUvxabFlewDHdk1UI2JwDIHWJSYOg9fsRVVUbAV2sj7NIaZXNANu6ove2PK3JWGAlbTLC+k8qhZjuAw6OwGngbqMSnL+W0D+cgtZ/+1Bl1FmPn34bvL6DkOPSoTLzv3P3UbvzG1sn9+RJS8nk78xmhVzu7HoH8l47Ec33plLHNTkW9n8xX7qCm2c/+BwwqLFNNLV5Fkp2lbNmvcyCIsyMXZWfyFxPZLKmpWlrP+tjIpCG+FRJiITw7H7NAW3tj5ENi4p5rt3M9i9voLzZvYRenJe+Gk2H7+0nYBfYeSkbkJPuB+8sJVl/80jPNKEpcaDpVZMvVWng3/cuYoDWWZQtf6PgF+MkFBhtoVPXtqOqqjs21rFvFd3CokLsGtdOcU52ud83qu7+G2BuPRv/r56uqZEU5pvZe7D6xq7+9sKVVUJDTcy9MyubFpawuz71wglN2On9CQmIZSFn2bx+l9brvshKyrugEzKFx8w6cVH0Cva/bv1nMuYPet5SnKdZPxSxJp3M04QqfmIS4rijKv7krm0hPJ99WyfL6a0CjBqRm+Sh3Vg1Vu7sVe7yVtf0eyfVVUVi9OH1ESPR0xMKIsXX4FOp2PatAXYbD62bBFb5mkNTnmS4PNJPPDAKrKz6xk79itycy2sWDGTG24Y2ObYqqpiXVmNv8pL/cJKfAdcKH7tza2rcWA1t60DunBxCWWrK8j8KJvIpAgG3tofg0lMN7wluwi/w0n+tyOI7DYR8/4JyBIMuLYAT0Q0j/95LvvSzwAg3Oem13ML2LcwhpEz6rj0mVJu/jgPv0tPde7Rp8CcNeWseH03e34uZPQ1fUkSWMsu2VXLsrm7KNtbz4TbBwltgqw9YOebpzbz0o3L2bimXJO1BryS0mayYK518+OHmagq5GfUCU0py5LCxiXFALxy/xoqi8SdMkwherJ31OBxBfjoxW3ExIvpHdAb9OgNOqpKHBRmW7DUejCFiLm3U/rFsW1VKbKskrGpii7J4iYyuvWK5ccPMwHYubacpF7isoWVRXZ++CATRVbZta6CqBhxfRof/3MbubtrqSi0k7e3DskvhkgqisrSr3OJSwxny/JS9m2tbjYBaSAHdm+AoR+8zsQ3D5rQ/TZtFp/d/QK6sBC69Itn42fZ5KwuI+AVR26GXtqLjmmxLHl5Ozvm5+ETpCaq0+s47y/DMIYaWfzPbax6a0+zxJZkRaXa6sHm9lNc4zyqmRogOTmGRYsup7DQxowZC5kxYyH5+eIVH1uCU54kvPjiZj78MINx477CaNSzefP1TJyYfOIfbAa8hS58pR7qF1agD9OTeGkSxnBjoypjTbUdm7V1DU6uShd1u+spWlxCWGIYg+4YgEHQuFzALVG3txTJ/QU6Yw2myB50OqOGftflElAD+PwynpAInrprNjuGnoUKPCLN5l7/m9zo+AgAyacjPE6irihUS+kGnzmKpJK7thxrhQudXoffJeGxiVMjK9lVixSsS27+Yj8WgZ3gdQe0eq2qwpJ3M8gsdlBh9+OXlTaTBXPNwRO4oqikDRJX3z+07n7+VX1I7i2uOTQ24eBo4lX3DsXQiizWsZBySJno3BniJj30Bj3DJxzUiRgyXtzocafuUYyYeLAxtIfARtzxF6WQckgPU1SsmOybTqfj6nuHHta30xwRuOZAr9eRProTVSUHZcvrK49/OGokBz4Jf0DmrH+/yBkfv974/xdf9We+u/UJMBgo31dPVTBzoyoakReFXT8cwF7txu+WUGSV0j3iiHtdkYP47lFYSp3IAYXcteXHvd4vyVSaXXiDLrb+gIzhGNnGIUM68sQTY1ixopiyMgevv75D2Lpbg1OaJGRk1PLSS1vx+WTsdh9PPTWWtDQxH2pVUnBsMge/AH2EEcWjffAOlW+urrRht7WcKBQvPdiJ7KpyU7NT3A1cvaWmMeOBupbolNV0HllFeEdtHM3rVfEFJLzGUJ6/42WeSnuZWjryAk9x3bvPctHXb6E3KLitRlRZ6yL3uQyU7o5k2WtxuOrPAIyYwgx06RdPeKyYE5HX4acmmIKNTAxjyl9HEN/t+GOPLUFtkCTEdYtk+rNjiIgLDU5C+JokC54WqDdaarR7IKV/PHc+M0b4xARA2qBEpgkqvzQgJkgSeg9OZNQksVMTDRtiSv944ZMTI4K9GV16RAvNJABMuaYvoG3iIvUd9Hod1z84vPFrUSRBixXKn54Z0/i1qEwCQNrARO56bmzj13XHIAmyouLyB8mBrGL0+5n8zF8Y9u3Hjdd8d8tj/HLNvY0zrEOm9WLCHQezvjV5YkowAMMvT6P/IePNIqcdOqbGYAo/eKjbv+rYHjgub4Dyepc2lh2U0ZeO03CblVXP99/nNn79ySf7MJtPnungKUsSZFnh9tuXNtZnk5Ojqalx4xbUzerca0N2aqkvY5yJiP7RGBO0D3VjI2OjIZStRc6RzjIX9RkaAYnqHsmQuweSJEjKWZVVKjZodazoHlEMf2gIKVOTG/scvPWh5HzRl+q9cXh8Mn69kXeNdzGp5zrC8SKjZ9r8/zDgpW+pyQtn4FSN5a99vzOb5nXCXOYE4jCYbuH8B6eQOlacBHXpnjpUBTr0iuHKl8fTIUVcqtdj8+Gs8xLbNZLpz40lIv7wh38DWSi3+zW1RsAXnIZojtSzpdZDbGIYD756FqFtbJQ9EoqsYgo18Kdnxwg96cPBTMI1ghpPD0WvIEk4d0Zv4bEHj+lMaJiBYYKVJwHSR3Wie1osyb3jhK97wMhOjJzUjbAII0ZBpcUGDBrThanXagRHVP9HA844L5mr7h0CQO0hJEFVVQKypkXi8MsEFM1jIVBTx5T7rif9t0UAKHo9X9zzAr9dctNRsQdfmMLEOzWBu2qBJEFv0DH+5nQm3T0YvUFHyY4aYboaYdEhXPDoSCbeOQiDSY+5xHGUB46qqpidXmrtXnQ6HZKs4PJoJlXHw+DBHdm6dRazZ59NeLgRt1vi3Xf3CFl3a3DSSMLbb79Neno6o0e3rsP8zTd3snVrFePGJfHtt5dQUHAHDz88mqiotrNz2Snh2mXFGGci7txOdJjZnfDeUYeNJB5NFKw47M0jCsVLSwmJMdH3mjSG/WWw0CmJun1mAk6J1Et7MvS+QUR2ObzDMizRR69LighN8KIoKnariiFcImvIcN6f+QAGFCQMfLJrOtPjlxAX5iBreRwlu6KYcFsZbvMvDL0kg64DDLgs4lKxAKW7aukxoiOX/WOcUN8HgNpCOzGdI5j+3BgiE44d2+bV7GdLbT48Ac2S1i+r2LwSruOYSDmsPh6YfZbw8UTQMglX/XkISQJJUwNiEsMYPiGJ/iPEiYE1ICklhtjEMMZN7Sk8dkiYkUFjuzBMYKmhATqdjqnX9CW5tzhPk0Nx7f3DiBV8fzfg6nuG0C01hoDATEIDLrlpABMv6UVdpVtLmQfJgSugICkqqqp9TqyZuVx7zwxSs7Q0uS80nPcee4tN5155zNiDLujJ2XcNplawURVA+vk9uPjpM1BkpTFTKQI6nY5BF/RkxivjiU+OYv/qg9lhWVGotnqwBw+tfr+MpwXjnUajnr/+dTSZmTczZUoKb721C5/v5Fhi61TR80MthN1uJzY2FpvNRkxM8x6CpaV2nn12I3feOZQxY1r/kEi6a0GT33futGCIMRGWGnlCrQJV1T4cBF/Frt3iiI459siXq9JN7Z46kid3E9aDcCiKfy2l0+iOhLfgIVS8NBm/JZwRtxUy6LethM+v403lforpiTklmfT63Qy93ELH1FwCXpkewzuz7sMuGENUxt9ajYjDlqqq7Jifz4gr04Sr/gHkra+gS794oju2bBwv0qSnQ6SRyEOa7ox6HaEGHUa9RhS97gBbV5Ux8WKxOhENWPvzAc6a1qtdtAaK9lswGHVC+xwOxcZfizjzgpR2ib11Zak2+ieoIfJQ+LwSezdVMXqy2JHTBqxbVMiEdrpfinMsyLLaLuJYAb9ETqaZHukJjSdiRVWxemTqPRLdsnZz10t/JtquZSBtcR34z9/+Q2la8xrJs5aXkDq2i7BpqUNhKXdSk2el3yTx72nAJ7Pz+3xGzexDAJVamwc5SJy8PrnJ8sLah8Y3K7aqqnz1VTZxcaFMm9Z6w7jW7LVwipIERVGFPDCPRRJUVW1RmvFIotAlKY6Y2KY3o5bGbgka3sqWxndVhZP9eX9QdYSEy8SrFl6ofIJZgS/5N/fwgu5pHnhxNaX9BgE6VAW+/Wsv+k6wM+KKelSVNhOF1q69JfHbEjvMqCMhwkhsqKExjl4HIQY9Jj0YBEpcH4n2vmfaK3Z7xz+99v+/+LKi4pMVvJKWXQOQFM1MzeyWkFUYtmkZN73xGCFBmeXK5DTe+du7mDu1rNflVH3dVVXF7vZjdvrQ6TRzKq/32OWF5pKEQ+O3Ze2tJQlii6f/T2iPE9WhaOkb0XC9ikYUqiqsoKrExB0tptCeD4bWxo7s4mHUo7uoz4xHr4Mu6W7W2y7m3HdWs7huGn9S3+XhZ//JvHteZOeEiyjcHoWtMoRBF1qCv/fkrf3/K75XUqmwB6jRSySEG4gLNzZa2LpVlTCjSohBj7E9lAV/h/fM7yH+6bW3b3xVVQkoKn5ZbSyz6XXaPW92a+qIqnYhU79/j4u/fgt9kOznDB7DB4++gSey5SWyU/F1lxWVOrsXj19Tdw1ICl6f2L6Q9r5njoVTkiT8HnEUUai0oQKxTRCF3ysSB2qbvg/IT0zhgUc/JvIfDsz2BEL8Pm6b+1diCsv5YuPLDJlmJiRcEZJFOJUgKSo1Lolal0RsmIH4cCPhJj1+WcUvyxiC2YUQg+6kfahP4zTaAlnR+g38stqQHEVVVRw+BbNHOsyyOdTj4oa3/sbwzcsav7d58mV8ddezyCbxJYPfI3wBmZpDygs+v0JAsKT3ycRpkiAQRxKF6kobqqISlyC+ma294Zdk6kKjqb0wlZwl/XDbw9nJCH79cSCxYbVMvrICL1F/KIJwKFS0iQirVybcpCc+3EBMqAHQbKqdfpVwk54Qgx6D7uSdAk7jNJqDQ7MGAVlpGxHm1QAAIABJREFUvF8DwQkfi+fopt0OVSXc+fJ9dCvJA0DR6Vh07f0svfLOP8TJQSsvBDA7tekFRVHx+CSU/x1+AJwmCcJxJFGoqbajqCoJieLm/f+/EJAU4kbVUFjam07ba+nn388IdvK99zKSHzPz7iNvUtsj9WQv86TDE1DwBBSqdQHiwozEhRsINR7MLugPyS7o/wAPz9M4NaCqKrIKflkhcEjWQKfT4fTLWDwSDl/TO17/3Ru59bWHiHRqY3+eiCg+eWA2maPO/n9a/cmFJCvU2b14A3K7lRd+LzhNEtoBRxKFuhoHiqyQ2DH61DtR6lV6XZlH2sWhpGdk8spPDxPldkA5PP74Vcy775/sHjflZK/ydwFZhXqPRL1HIsKkJy7MQEyYll3wSgqegIrJoMek150uR5zGSYOsNGQNlMOa6gKyomXHPJreQVPQKQrn/vQJ07+c2+jBUNUtlfcef4uabu0zrfF7QUNp1e2TqLK60et0wfKCTEA6qf3/7YpTVkyprZg9eyv+aq/QmKqq4thmRrIH0Ol06PX6xo3AXO+ipsreKm8AVVYpWlJCQKDtKYDslyleVorcDAlXJdTH/jF9uP/xTziQpEnshnnd3DH7AaZ/Pge9fHCG12P3s3vhAZQmTEzaAmuFi9w15cIEURpQnWelZFetUDdBd0Bh++Yq1m2qosLux+3XThySouKRFCxB3QW/3HIJ6IzNVRTnitdz37OhQrjVMGimSVWljhNf2AIossKONeXHVP9rLbweiZ1ry7HVi302uBx+tqwoaXQLFQWH1ce6RYUnvIcUVcUnKTh8Eg6/Jj2uqMHxRa9EsdVHXr2PWpdEQFFxmb3s/63ssBiRDit/eukeLp83p5Eg7B01mdkvf91sgmCvcZOzpuzEF7YQ9cUO8jc032ipuSjPrKd4Rw22KhMqWnNijc2DXqdDljX1xNYQhJqddWzaJH697YE/HElQVZXHH1/Lo4+uxVfaOt+FY8V1bKrHudOKv+KgqJJOf/DEaLO6qaqwtmhTUFWVgh8LKV1ZjqNYnI8BQMGCQkpXlONpJlmSZJWCqC488Nf3+W301MbvT/nxI/7y9M3E1WlKj+s+zGTbf/NwW8R5OgBs/CybjZ9lIwlO6235cj/rP85sHGEVhU2f72fD59lYvTJFVj95dV5qnAF8wTGygKLiDijYfDIuv0ygmYRh3qs7Wfz5frGLRXOE/O2HA0JjqqrKW49vZOvKUqFxpYDC3IfXkbGlSmhcl83Haw+tI3evOJl0gOpSJ289vpHCbLPQuPn76nnv2S0U5xwtEtRADJx+GZtXwiMpyEFrbadfptzuJ7fOS4U9gOsI8aXiHTWsemsP1grtmZOSs4fHH76CwTvWNF7zy8y7ef/xt/BGNl8WO2d1Ob+9vRdHjbhnL0DGL0WsensvLrM4cuf36Fn1VjyLXxzLkn91ZeWHcVQVapocPp+M+zjjjceDKquUr6lgxoyFVFeLJbntgT8USVAUlXvvXcm//rWV558fT9TI+BP/UDPh3GbBlWEnekwCEf0PH/s5lCg47F7KSy24601Yck4sYFO+ppLKjdWkXppCwgBx663aUkP1tlpSp6cQ1b35jZWqClY1hBdnPc27Mx9E0msfmt7ZO3nioSvoMO978tdXMP7mAUR1aJlw0fFQuqeOom3VjLm+H6ZwcVWy6jwrZXvrGXFF7xMKZ7UE5jIH1XlW+k8+aDYWUFTq3BIFZh8HzF7qXAH8wWxLQFFxBRQsnuNnGGornFQU2RlyplilQZvZi7XOS8++YkWVvG4Jv08+zEhKBBreK9FZpdgO4eh0B704RCG5dywGo16zzhaIgaM6ERJqYNc6zWBIVlS8wYxBAzGQglLJ7oBMlcNPXr2XEqsfm1c+5ibX56wkTGEGspaXcO5Pn/DQ328goU4jZI6YeP791PssvvY+1BbqgwyZloIxxMDOH8RZcAOMua4vBoOOjZ9ntzlWw8eueEcUYVE96X3hKnpfXoy1LIKML1NweyT8bZhe0Bl0DLipL16vxDXXLBJq/d4e+MOQBElSuOWWJbzzzm7mzp3MU0+NE1YTdu604NxlJWpkHFHDmn7I6vS6xgeby+mjcFMIJSu7seX5UdRlNK2MVre3nsJFxXQd34WkCeI8EpzlLgoWHKDj8ES6ntm5VTH8kso3Z17JIw+9S02CtrYop43nfniKDzouZ9DZrYvbFBRZYcMnWXRMjaG/YAW8nd/nE90xnD4TxHoA7F9VhincSNq4pt83r6SNUubX+yg0+6h3SwRkBb3+YIbB6pVwBlPDDbayezdpD+rBAj0zAEpytZNoD8EkwRY82cW0G0kQGhajUU9MQhiWWrGGOqYQAz36xArPJJhCDUye2ZvIDuHYDyklyCpBYqBQ7QyQV+elyOLH7JFpzp5kCjcyamwM/1j8LFd8NhtDsJyYnz6Sl+YsIHv4Wa1ab2ikiSHTUsheWYazTtxrHB4byuhr+pK3toLKVrzGznojbot24NHpIODTUbQjgsgebvpOT6RDfycp5+zHXhpJ9Z62H9bCEsL46qtprFlTyhNPrG1zvPbEH4Ik+HwSV1/9M/PmZfHhh1N54IGRwmK79tpwbLMQOST2hJkJnU4XzCqAsecBTP2zMMX4MGceTRIcJQ5yvsonYUA8aZelCCM0kkci+7McQhPD6DMzrU1xFQV2dB3Anx79lA3DDnY13167jL/+bRadygtFLJms5aWYSxyMv3Wg2NN+iYPCrdUMuyxVqHGSIivkri6n95ldMTXD7MkjBR/k9VqGodYVwCspjT0MXknBEXTXC4sLYdKMNGLixThvNqAkz4rBqKdbL7H+EPZgbV90JqHhNmiuS2dLEN8xHEuNeNe9lP4JFGa3vZdECfomaI6LMpfcNZgzLuyJEiwluPwylQ4/uXUeiixBAtrCjEv/3Rv5eefjTJP2NX5v6RW388Zzn2BLbNsBYMjFvTAYdez6UWxpa9AFPUnoEc26DzMPs1dvCg23TWV2ON880IvvH0th2WvdyF4ZiyypuCQvtSVGwhK8KKpK/rJSdr67kcRBlZSvSTosRmsxdWovnn9+PK++up3vvstpW7B2xP88SXC7A0yf/iMLFxbw9dcXc9ttg4XFdmXZsW+qJyI9huixCc3acBuJglHBbw5Hwk3CcC1V2HDTeeu9ZH6UQ3incPrP6iNsY1RVldz/FuB3BBhwY19h3hH1pijuOfNRNvUZ01jW71mQyRMPX8mEJV+36dPkcwXY+nUOaWd2JUmwFv3OHwoIjw1hwDnJJ764BSjZVYvb6jvMpra58EoqtS6JA2YfefVeqhx+XH7Ng15RYeD4JGY8MBzLIVmGBnOdtqA410K31BjhzoS2YF9KbIJYUtNe5QbQSIK5Vmy5ASA1PYGaMicuu79FP9fgtOgJyDh8EnafjDugEFC0sUVJVti+vITNGyrIqfNSbPUHdQ1avkaj38eVH7/Mfc/fTqL9YF/G4qv+zMJZD6EY2l7qC4sOYdBFKWQtLxHaQ6A36Jlw+0DqCu1krSg57rUNj+pdPybS+0wHN32YT/IwF3sWxbNxQRRWl5+4VBcVOxJwuyXihySiDzHgrt6CvTgGyWMQIgXx5JNjueSSNG655Veys+vbHrAd8D9NEmw2Hxdc8D2rV5fyww/Tufrq/sJiu3Md2NfVEd4vipizEpt9IleDaUDJEoe/OhF9jAOzcgCXy4dOB9U7Ytn5eiKS93K6jJ0o1ASqfG0l9Rlm+sxMPcodsi3wOwLEffwrZ+RtZfGZ0ynr1AOAEL+Xaz54gXte+BOx5tZ5uW//No+AV2bcjeLeOwBblZu8dRUMvSQVo2Cjrf2ryohLiqRL/7alJQOyitkjU2z1k1PnZU9GPRsWHsDrldAfkmVwBk+ULr+Mr5WkoSTXSo8+4k2eGjIJwssNOi0j1x7OMwmdItolk9BrgEZyC/cfPx1+JCmweCVcAQWfrOkagKbNUesKUGjxkVvvY/G8/Wz4vqBVjXQNSCrK4dFHr+KcRZ83fm9b0jCW05uJi79s9We4KQy7pBc6vY7dP4nNJnQblEjamV3Z8mUOXsfxyVhVThiOGhPdhzpRVJWU8yvoNKqGnF+6oKoqHUdVYS+JxFUbRki0ib5XpeEsqyQkyoY1X3MIbev9p9fr+PzzC+ncOZIrrvgJxwnWfDJwylpFnwj19R7OPfdbdu6sZsmSK7n44ta7Zx0JT4ET2+pawtIiiZ3YsUUp+4ZLAxUdUX2hhKdpjLe8xMyBlXHk/TcFxWug+yQnZb+lUb5WTIOa7YBd6284szOdRnQUEhO0B1rttxl87p1HRvJA5lz2ILc//AkLz57ReE367vU8+cB0RmxY0qLY1gonGb8UMWx6KjGdxMpb7/6pAFOYgUEX9BAa12P3U7S9mn6TuwvVQVBU2L6shO//vZd8i4+Cei9VjgAOn6zJwaI1P3oautl9cmOm4URTE36fTEWRnZ59xTXGNsBm9hIRZWoXp0adXtcumYS4juJ7EgC6p8VgNOkpzDq85NBQPmggBdYjSIFep9M0DDwSZTY/ObUeCi3auKInKJHcc1RnSvfUIflbPvmjlwJM/e5dHn30qkb1xIAphPm3PsH7L33CDaYb8Mp6bnr9MXSymMmi8NhQBl3Qk8ylxbitYqegzrx5ALJfZstXB1P4h97+Df+t04PXYcAU66XC7MLh9dPz7Bpkv56izbGEdXIR09NB2cruSF4DCenxJA5Oxm8PoMiaiJSIj3hcXBgLFkynuNjOLbcsETqKLQInjSTcc889ZGVlsW3bNuGxKyudnH32NxQUWFmxYiaTJ4vbCLzFLqyragjtGUHc5E6tKgX4a+LxVydiSrQT0sUKOpAs0VQs74up+y7Sbysm5UILyeeWYc46PMXemvvH7wiwf14uUd0iSZ2e0vIAx0Hdrjr+lfUBsaYA/7jpWWSDEbcxlFcvfYAn7noNc0wioDU13jbnYW575S/EWGqbFXvDp9mExYQw4nJxBA/AZfaSvbKMwRelEBJhEho7d62m49AedrQlu2pJHtoBvUGPT1YxeyRKbVqWodCsjVc6g6QBaMw0uIJNkHafhDugZRvkQ7IN5YU2FFkV3rQIGkkQnUVoQIMUrmgkdIzA65ZwO8VqGhhNBtIGJeL2aD0nruBoYkP5oIEU6BpIgVeiwu4nv95LXr2PCkcAu0+mqXJ7yqhOSD6Z8n0tS1knF2Tx2KNXcelXb2KStH9vWc9+/OuV+ay++AZCokOJO6svN5uup0/mVs7/8SMRLwUAw6anogK7F4rNJkR3CKfb4PPIXDqYrd+E4LEbDss6NWzsHdI8BHw6cneakGQVWVLxKwESB5qp2tIJgJRpxTjLI8n7tjfOskj0pjHoTXbKVu0SqgMzZEhH3n9/Ct9/n8ecOduFxRWB/7lyQ1GRjQkTvqGmxs3q1Vczdqy4rnVfmRvLsmpCk8KJP68zOkML7KRlHZ78bih+I1J9LKrfRHjvUu20qepxbk/BEOMk/vxqfNHauKbBpKDTq/isB41SZK8Bb33z67uqopLzZR5KQGHAjX3RC2zQ8zv8TJr/FTPIYPa1j1MTf3jH/YY+Z3DzI5+zbtjkxu+N2Lycv99/CWNX/XBcxlOyu5bi7TWMndVf6MgjwJ6fC9HrtXEskVBVlf0rS0ke2pGoRLEbo8vspb7ITvLwprNAHkkbrywJkoYDZq2fweaVGrX4FRX8spZtcASzDQ6fhKzXcdb0VJL7xgk/xdjNXmIFvxYN0Ovbp9wQ30kb3bW0oS9B6yHRygYNhMDuk7j3zYlMvSVdy/AEM0CqquINaM6K5TZNTyOv3keFPYDVK+M/QRMeQMfUWCLiQine3rySgMnnZfq813jksavpXqSduBW9nuWX3crsV/5LZc8+jdemn5fML46efDv2Oi7++i1Scva06jU5EhFxoQyc0pN9S4rx2MRkEyS/jmVzknBZ+hAaZWX3T3GseqsrXqe+kSioqorDHaC83kXnYWaK13TCH5Bx+yQkWSW+vwW/IwRVgdhUO72vOIAxQiLn6z6gGOh7TQmuCielK8qFrLkBs2alc++9w3nssbX89tvxeyr+P/E/Jcuck2PmvPPmA7Bu3bX069f2RrcGD29/pQfz0mpCOocRP6VlBEELpMNb3BXryjPQR/gI71OMMcEC6PDmevAVpxIxbDUAdpsXv78euSoZyWsgNE6rUxX+3BNneRSeujBCY/30uy6XsMSmP1wBdwBThInipaVY82wMvK0/YYJOdJ46L2GJoRi+XM9r/h9YMPJi1g6d3OS11ohY/jbreaYMWcl9C14n1mkl0mXnhn//jZHrFvP13c8d5jdfnWelQ68YNn6SRce0WPqd3TIv+uOhZFctHXrFkLm0mPTzexAeK66ZLm99BdEdw6kvdjByRm9hcQEylx18YPQY1rxSkVdS8UoyeLT0sFEP4SY94UY94SY9YUY9Br0OWYUOPaK55pERKIDVK2HQax4TBh2N/63X0SLfCZfDT9b2GmxmL7EJYdRWOEnsHIHe0HaSWvN/7J13eFRl2sZ/Z3pmJr0nhBRCKKGEKiDSBKRYELHu6qpYdnX1W2VdZZu6rsquq5+un13XrmvBDlKkSe8QkgDpvWcyJdPnnPP9MUkACaQdVt3d+7rOFZiceebNmXPe936fcj/VQYEfQRAI+ESO7KpXrCS0tdndSWoqjlupr3Aw7ixeIVkOLvSiFEwsFWW5899dLe2CIGBpcBFQCbS2ejHEhuAOSP3KJYBg6CV1fBzl+xrJmt6KWqMidlB4l+cOKtjHT57/I/G15Z2v1aRm8c6df6Yyc8Rp5ycMjSRygJnfe2eRk3SIG/+2jBVPf9orEaUzYcyiDPLXVnD4yzJScmKJz4pA08vQVHO5npi04DxordHRXG7gkj9W0lzm5esVn2OtXczWV8K48O5W/JJEa5sXT7vKbOqcWrb/aRQNBWbCM+wIKnBUhmJOciJLAiATlu7AnNKGStPxJelwVCZS+U01UcMj0Zq16MN1iiSYP/nkDA4caODqq7/kwIEbCAvTYTbrUJ2DFvQ9hfqhhx566Hv7dMDr9bJixQqWL1+OXt/7Sdtq9bBxYyUul59Zsz7EaNSyefPVZGZ2H1998quzC2/IoozzsBXUApbV9WijdEQtSESl6/1EJ6hkQjJqMaTXErCG4i5MxVNpRRPRhPWbcNAMIPrigs44ts+mo+mbUSROrSY81UXZV6k0HY4heWodg68swVVvxFoYQdRwS5dxseNvFyH6Jcq+rCDlwmQSpyhXV1/0YQm+4mbeyf0L7rBwHr59BeLZsp4FgZKEDL6euIC4thYyaoNCKrENVUxZ/zFeg5HKQSNApWLHGwXkr6ugsdjGRb8eS6iCuQi73zvOvo+K8Dr9zFk2Fr2CoYa9/yxk30fBeO6QGQPQhWh6VP7YE+x65xj5ayvQGjSIAYmY1NBee1c6vAhOv4TNI9LiCmDziGx8vYCaolb8PhGDSYveoEFuP1+U6ewM6BWD6n1+MZgY2bkQtm/lBU7tdKnVqfjzrRupr3BgaXRTWmBh2qXKNAOTJJl7L/sKv0/i2MEmQkxacs5XxmNYVmDhqXu24vOI7NtUzaCR0QwaER28HpJMQAp6B3xiMJTjCQSvjb/9d+JJ5ECWg9cuGFYQObC1lpV/P8wnTx/i24+KiMiMwJxsVkTos/DbGiwVDuqPt3J8Sw2Z5yeelsejdzu54vW/cO3Lj2B2BHUx/Botq6/+JW/d9RjW2K7zn1rK7fjcAY5vq2OtJ527fJtJqC0L9mzpZ1BeF6LBbfVSsL6Ssr2NpI6JxRjZ/WbGadGw/R/xbHoukZo8Ew2FIYQn+7DV62guNTB0po2YdCMNhXXY6i00lowkblw1Dsl7oqWzV0LS+vC16WjYE4/o1eC162jYF0f8hEbMya7OP0/4zpQfnhFGS66F5jwLjoo2DNEG9BG9W79umnx6GFytVjF/fjovv5zL+vUV1Nc7kSSZQYP6Hwrs61r7o/ckPPLITrZsqaakxEpyspn1668kMVGZjovuIgdtB61wyIY6XEvUgoQ+EYSToY22EzVvJ848M/bt0VhW1aMOD0Wl9SH7dKj0fiS/Fld+JoImgDvmCI3HB1K7NZFhNx4jaljw4Y4YbKN8dSoBjwatMXDKZ3havbQUtNKS30pYWiipFylX4if6RVqPW3nIt5Ismrlu7tO41boexa2spggevuYPfJMzm3s/eoJYayMGr5ur/vE45238jA9v+z11R1txWjxoQzQUba0lamAoepMyi7m11om9wY2gglV/3sulD52HsZcP9pngcfjwuYLfw8FPSrj04fMUsQugUgtIARlfIEDAK/ZoEu0JfKJMWZG100U95WfDGLcoA71GhV4joFcHf+rUAlq1Krhjbt8tB3Hq8iZAp8dBEOCKu0ZReKgZh8XD3KuzECUZQTidUPQWoRF6Bo2I5vjBJiRRJmdq7wlChwdAbu9f0PHv9NExXPubsah1asJjDCSlh2HrRga8gwx4RRlfQMIbkPGKwZ8nX6HwrEjqSw4F3yOBUUGti4QhkWx+4QgA0ndrH2WZnF3rueL1FZ2qiQClWaN5985HqE85u+fL1erlyOpykKHIG86zi+7lgc8e4VjOFHZeeEW/xp2/rpKibbX4PSJ+j4ilso2Y9K49ICcjd3UkzlYN179UjLVWx74PYzn8RRTjlrTQVGpAEgWqDjcjqCB6eDNNBTI1RyNJntSC1yvhF8XOUFXqvEqsReE07ovDdyiGAdNqiRtzdlnugDtA3PhYyldV4m5wExJnICyt/54VgKQkMx98cAkzZ37Arl11XHXVEObMSVPEdl/woyYJx49b+PvfDxIISISH6/nss0WKEQRZlGnbb0X2y4CMIc2kqLqbt6YYyAUJoBnJC+7iFEIGVeHYPZJASxjmicGHvvybBAxJNiKHtiLLwQlYpRXRGP0EnKeThMZ9TZ3zt73cQfXmWgbMSur7xCzLzNu3hsMZo8hvMHKxL5dfsoNfCpdzhEQSe+lC3j50Mgfve5s7V7/IJds/BSC1/Cj3/fYnxKon8hvm0yqHkzEpQTGCIEsy1tqgTrrOqGXur8coRhAAPO1JbiEReubcO0YRt3oHOmwZI/VM+qmypaAduRPGCD3Z81IR5WBzqmAvsROLowDo2gmDTq1CqxbQqQS06uChEoTTSMT4i1IZf1Fqpw2H71R7nbs02ksav/MadE0mBGDh0uEkfVuLRqcic2wsnsCpFRwdi/6Jf58gAt3t3EdNOz3EJUoyflHGd5InoePw9yBnAILqiBOuGsyWl4ICRUref2HxRib9dAjbXis45fX46hKufPUxhuXu7HzNqw/hi5/8ii3zr0NWd+/aHzg2jonXZrHnvUIA1g+YyrQLF3Plq49RMnQsjcnppBUexuSwkj+ud62ih89JwVLpCJIQwNKDRmCORg1VB82MWmhBa5CJzfASl+mmtUaPOdqP3ixSvjeU9Kke0oVUTIlG8t5rpWZPOJE5DYjt35e9wkxYahtaY4DY0S1EDWtFrevZJC/L0HLkRClryxEL6RenKlLR1NjoZNmyzZ3376efFtHc7CImRtkKr57iR00Sli3b3Kl77fWKvPbaER55ZCoaBZLzXMcciG3BxVfQCghqAZVWIdVDmx9veTApStCrMOeoUZnzsW8dg+tYKmqTB/P4o+hT6pH8KrxlA4hc+C31tW3ExUeg1gi0Ho9EFlWExJ4qRiLLMg17gztDjUlD1jWZRA/vX2lbfGsDv/3no7i1Bh5JWsIyPuFz9Qi+vW0piZl9c4O5DCaeWLyMr8fO5d5PnyKzOuiqv1Hcw+WafD6Yezu52XMU67nU1uIh4BXR6FQs/N0EogYow/o74HX4EVQw994xmJRWF2zPf7ng1mzFSFMHTO0kYdySTLRn0YuQIbhDDsi0M9tToBYIEgaVgEYtoFEJuFs82KocJGSEEx4XgloQUHeIIPGdpMMzZiB2/XpGTiwZ7fkZfsDfB+UgWQ6GB8T28ElAClaEeL0im1/Lx+MOcMEdowi0h1aUwNALUzj0RRm2OqeiJAFg5Pw0SnbUUXe0lRCvk8vfeI2Zq97plFQGKMg5n3/e/iAt8b2rvhm3OJOmYhtlexpw23x8tPS3ZBw7yM1P3kve+JlctPIlPCFm7nt7V69CEIIgMPXm4Xidfgq31GCp6r6JXWhcALVOwlavw21TozNKVBwwM3SWFZUaRixsYd/KKHTDqjAlGgn4JGzlNux1PvweCZVWoGZLEq4mA4ZoDzpz8Pr0lCAA6MN1jLozm+KVpTTsacLT4sVV58KU1PM+OGdCXJyJjRuv4q67NvDWWwX4/RJvv13APfeM77ftvuBHSxLWri1j1apS9Ho1P//5aO6/f2KvvQiteQfRh5oJGZh5CgOUAxJtB1pBAOOwUMzjo1CHKFfn7TwSbMdryDQTNiW63XYzhmvWE3AYUZvcCCoZEPDXJKIOdaGJbsVuE/F5m4k0JNGwJ57MJcXB8UonYmb2UgeeFi/mlEzCB43GUakhYlA1an3f3SBpDUF5ZYPfw2MV7+BEy6u3P0CEAnGyvLSR3Hr3Kyza9TlLV7+C2dNGeMDJbV88RXnuaj65eTklI/qvpWGtaUNQCcz99VgShiivB+Bt83HedUNIHhGtuG1BJZA+MZ5Bk5Rt6gRgjjJgjjEwfE7/QlKiDGJAxnPSou5yB3jj/h1c+/fpRLZ7QwRAraIzMVKlElC3J0YK7aEKlXC6d0Fof/PJy0/F/kbCEk1EJJpO8RJ0eA06WiF3/pQ6EguDP8+28Nu9Ik6br0eVBb2BWqPivOuy2PhcruJVO4JKYOYdo1D/6mmefuZxotpO2unGJvHxzQ+QO/HCPuURCCqBWXeNZuX923HZvPgMRj6+6X7u+PPPGVB+HAEwuhyE2lpwRMT0ftx3jsLn9PfDT9bUAAAgAElEQVTIkwAw4+f1FG8P45PfpmKr15E0zEXlATNH1oSTc8dRAqsiKV41gIGzaxBVAdy2cGT/HtzNekyJJhLPrzspEbFvUGlUDL5qEOYBZko/K6f5iEURkgAQFqbnzTcXsHBhBrffvp5XXz3Cr341TlHtlZ7iR0kS/H6R5cu3ctddY3jggfNISup9iKG0qgmcrXidrSBJhKRldX4BrgIHmigdYZOj0UbpurHUO0geEV+tm8j5CRgGnu4+0oSeWnalibahMviQPSGoQttwNulpOhKNLtJFbE6wJvrkpJrGA01EDrkIj2UQPqsT0adm31/GMuxnxwhL7Vur6fT6MkRBhbo93hIiBHjpn/fxh589StGArD7ZPBmiWsPK86/g+SMD+F/zehYcXANAWvkx7v3jzzg4fiZf3HgfjUlpff4Ma62TmXeMJG28co2nOhDwiiSPimHMImX1HDpgCNUybsng7k/sA0zRIYy/cjBqheWYAYyRBrKmJxM54MTzKUO7XHDXeQ29wb49DWTPTcXlUFbPACB7fiqlO5VtQ92BQZMTKd2lvO3BeXu47O2nSBdzof1R92t1rLv8FtZffgt+ff88XHqTlnn3jyPv6wpG7dnADc88AIKAcJIXKKGqpNckAYLkae6ysax6bC9+r3hWrxZAdKoXZ4sLS5WORY+UI4V4aW7xs/EPI7Eci2DUjcUUfpVM07NDcdYbiRhsxThexlbiwJRo6jdB6IAgCCSdn4ApwUjl+mpFbJ6Mq64ayuTJSdxww9fs2lXH5MnKNqLrCQT5e5Z3stvthIeHY7PZCAvrWXOZqio7KpVAcnL/XMYhU/8AzqD6mS42EWP60KCQSZMXTYzunLC2gN2PKkSNStuzkIjsV2PdPI6AzYwxuwRXfgaqEC+mMQUkjfQTEWHqdEfLskzTQT3H3xvP8JuPEjW0FUEFx98bjCHaQ+pFVSfsyj3fUNz/z8eYt29NJ0nowPbh57N86V96ZqS7v1OS8Vp9GKL0jCjL5d5P/5fMmqLO3wfUar6dczVrr76DtvDel7Y6mtyExirXuvpk+D0BxICMwaxsKKADTotH8RBGB9w2LzqTVtEGVyfD1epRLNHyX2n7XNtX8jtNKj/OoneeIvvA1lNePzxxFitvvJ+WBGV7k7Q1uXh6+UIiLQ2nvC4LAh8t/S1bFvykz7Z9Lj+SRI+epS8eSsEQ6SP7p6XtqqKw82/DiM5uIWl6DaJfhbUoHGOcm5CYYFjW3eIh5BzpdnhbvWjN2h7P7d/ee36PbUuSTHFxK1lZfS/r78taCwqJKR09epRLL72U8PBwQkNDmTRpEpWV504MIiUlrN8EAQCDCcxB17OvqQ5X6VFkWUIbqz9nbh1NWM9vIgBBKxI5Zw8hgyvxVccTkllF2PkH0MVbaG50UFdr7czLkPxqmg4OIjrbQvTwIPmRZdCa/PgcWkT/ic8VvT3fOQ6pPt5JEERBhU+t5b0Z1/L4Nb/tsY1u/06VgKG9CVBe+ihu+dWr/OXqB2gJC+5KNKLIrDXv8eAd87jw45fRensnm3uuCAKA1qA5ZwQBOGcEAYLyuOeKIADndBE/l7bPtX0lvtOoxhpueOYBli9bfApBqE3J5Lnfv8jLD/yf4gQBwBxr5JlH3mDvBQuRERBV7XOJLJNQVdwv2zqjtkfPkscvEj3CQuWBUGpzQ3HU6Tn4j3TEgEx0TlDRVa2ViB7e2kkQgHNGEAD0kfpeze29gUol9Isg9Af99iSUlJQwceJEli5dyrXXXkt4eDhHjx5lwoQJxMXFdfv+vrIbJRAye0XwH14XtMfvtFGxmAZlI6h+uGKUcnvwVXRrURl8aHVqkpIj8VvCOfi/OYy//wAhMZ5geZdPRfEnwfr0IdcWI/kFarclYSsNw91sIHFSA8nTa8/2YWy6bzpqWUIUVHw+eRFvz7mhc/E+1zB43Vyz5Z9cu+k9QnwniEFreAxrl9zGzrlXEdAqGxL6L/6LHzJM9lbmffwSF6x5v1NKGcASk8BX197NnmmX9KhqQQkkVhRxyXvPMHrvRiCY+/DHl745Z5/n9YtYnV7c7ZUyBR+l4Kg14GwIIWJIKwMvrEYf+cNrktQVeuNJUAJ9XWv7TRKuueYatFotb7/9dp/e/4MgCQBeN7QFY/ya8GjMg0cg/IsetN6gI0wgSwKt6yeiS2ogZGgZgkpGzB+PryGS0XfmdZ7nrDNy6O+jGHFrPuEZDo69OxhnrYmESQ2YEp2Ufp5O4pR6Eic3dPl56oCfNb+bS17qSP5yzXLqo5RPnusJou3NLF37GvN3rzol7NEUncCaq+5gz6xFirSx/S/+ix8q9G4nM1a9zZzP/kGI60R+UZs5nHVX3MaW+dcR0ClbMdFTDCzO46anfo3G7+MPr2xU3L4vIGJ1+nB5g5UIsizjD8j4/CJeuxZdqPJ5Keca/xEkQZIkwsPD+c1vfsO2bds4ePAg6enpLF++nEWLFnX5Hq/Xi9d7QkrYbreTkpLy/ZMEAJ8HHC2AjCY0HHPWaATND3fhkSXwt5rRRNiRZWjbOwK1L5RRS8tQqQT8Lg0ln6bjtRgYfdcRWvKiKHhjKGOXHcKUGEyQLPsqFY/FwLAbjvcqT+H7Qlp9KbesfY1puVtOeb0+LoVvLl/K3lmL/utZ+C/+rWBwtTF99TvM+uJNzG22ztd9OgObLr6e9ZcvxW36186d/yp0kAOnx48gCMiyTECU8frEM1fN/kjwYyEJ/fKpNzY20tbWxooVK5g3bx7r1q3j8ssvZ/HixWzZsqXL9zz++OOEh4d3HikpysfMuoMsy9x99wbEhu+siDoDhMWAIBBw2HAcO4jk77nrSpZkrJsa8dV7uj+5N+MNSLRuaMTfeupYBBXoooOlfSqVgC6pEXdzCGXHbDitMtUbk2mrMZOxKNhlrXpTMvHjGzElupBl8LsCWIurEX0SAY9aMYLgbfVS9HEpfpey7L6t2smWQ1qWX/snbvnVq+weNqnzdwmNVfz0pYd48OdzmPH5G+jdzh7brTrUxOGvypAULncr2VnHsU3KZzwf21RN2R7ls+Pz11ZQnXt2pbm+4PBXZdQfb+3+xF5ADEgc/KyE5nK7onY9Dh8HPyvBVt/35k5dwdHsZt9HRXgcPZ9PTA4r8z98nkdun82l7/29kyCIKjXb5lzJQ8+v4a1Zt7L58zrF792mUht7/lmoqE2A2vwW9q/sPm/BFxBpsrmpaXHi8gaCCeUBCZc7gMd7OkFoybNQ822domOVZZm6XQ007OlZ06we25VkKtZWsWpViaJ2zxV6RRLeffddzGZz53H8eLB72GWXXcY999xDTk4ODzzwABdffDEvvvhilzaWL1+OzWbrPKqqqro871xBlmXuvXczzz57ELmr51Wrh7BYEFSITgeOggNI3u4XfVmWsW9vwV3YhugKdHt+b2Db3oKntA3Z27XWgSAICCoBfXIL2rgWat+Yx5EXh2EtDyF1bgWhKU7aqk3YK0JJW1DR+b7ilZW0VUchCCIagzJ94gFKPi+n+XBLf6rbukT515U07G9CUAkUpgzlvlv+xh2/fJ79WSdERqJam7jyzb/y8G2zueiD5zC2a9SfDfs/LqZwc/Vp+uz9xYGVxRRvP0u+Rx+x/+NiynZ3HR7qD/Z8UETlwZ618e4pZFlm19vHqCuwdH9yb+yKMjvfOkZjUfffb28Q8EnsfOsYzaW27k/uBbwOH3veL6SptHtSE1tbztUv/Yk/3zqLi//5fxidwfdIKhW7p1/Kn//+Je//4mFsUXE4mjzs/7iYJoXH21rVxr4Pi3qsW9BTNBbb2PP+cewNXZMwr1+kweqm1uLCeRI5cLr9eLziGbUtbKV2ylZV4G1VppskBOdVW7Gdks/L8dmVzXOwldq56aY1NDT0fDPzfaFX0+Kll17KoUOHOo+cnBw0Gg3Dhw8/5bxhw4adsbpBr9cTFhZ2yvGvxO9/v42nn97PihUXoEk5wx2n0UF4LKjUSB4X9vz9iK6zaww4D9twFdgJnRxFSIYy0tAArqN23McchE2ORpdw9sxclUYmfGousdesxjwpF+OMLfhjShBFiea8aMIz7OjC/MgSNB9qpvmQCsgkdX5wV6qE+85ytLVdonQgWgXVAW2ldlqPWUmdM+CUdtd56aO45/anuf3ul9g24oLO10OdNi794Dn+dPtsLn39r4Rbut4NNJXaqC2wMHJhuqIVLdbaNppK7QzuQ1+Bs8HR7MZW5yR5pLKiTW67D7fVS9RAZZUo/R4R0S9hCFM2BNRB6JR2OYeE60AAl1W5xQYgcoAZlVqg5UyeD1km4+gBbl1xF3+8ayHT1v4TnS+4ORFVanbOXMSfnl3FW/+z4hS9kMRhkah1KqoOKUvu0s+LR2NQU/itsu2Qh81OQaPXkPtVWedrsizj9gWob3VR1+rC7Qu05xycRA660YJLuTAZlUZFxTplN50Zl6UiCFDyWbliNgWVwJBrMwkEZG66aY3i7dmVRq9IQmhoKJmZmZ1HeHg4EyZM6PQodKCwsJDU1NQzWPn+8Oiju3jssd08+OBk7r+/mwY8am3Qo6DWIPu92PP2EnB0zdbdxW04dlswjgjDNLL75iQ9ha/Rg21bMyGDzRize0amBEFAbfKhT7AgqCUcdg8VZc1oI09MTj6Hl6KPWtCapxI1vBVzkiuo2tjPNVL0i5R8WkZoqpn4Cd1XtvQUsixT/nUlIXEhxI3rulXy0dRsfnvT4/zs12+xbvxFnWVZIR4XF335Bn+6/UKuf/LXpBUePuV9uavKCYnQM3iqsgmZRdvqUOtUpE9UVryp5kgwuVZpZceOHWNUinIEF8DTvgMLUZgkdNysSk+wao2KkFAdzlZlQ4ZqrZqIAebTwiOCKDJmx1qWLb+OZb/7KTl7NqBq/5u8hhA2Lryeh5/7mnfueoymxNPnVI1OTdLwKKoPKxsm0ho0ZJyXQNG3tchKaVITFGQaPjuFoxuq8LQFcw3qWl00WN14/GKQHPhPhBW6Iwed4zVpSZmVTMPeJpwKhop0oTrSLk6l+XALlqPKhcz0EXpeeWUuX39dxrPPHlTM7rlAv7Py7rvvPq6++mqmTZvGzJkzWbNmDV9++SWbN29WYHjK4amn9vH732/jN7+ZwIMPTunZm9SaIFFwtEDAh6PgAKaskegiT5T/+ercWDc1ok8zEjY5WrHdqOgWaV3XgCZSR/gFMb2yK3To2LZr0wb8Ih6pCrc1lfKvB2A5mofkn4Mxwcygy9rjYgoMu2pDDZ5WL8NvHKJIb/UOWI/bsJc6GHpDFoL67HbLEjP487V/4LW5N3Pd5veZv2c1uoAPjSgyaftqJm1fTemgEXy78Kdsz55J0dZaxi4epKjioCzLFG2tIXVsHDoF21ED1OS1EJFkwhyjrO5Da2WQJJysjqgE3O0kQXFPQsfzoOAC1oGQSL3ingSAmLSwTk+C3u1k0qbPmPnlW8Q2nLr7tUbFsXnBT9k290rc5u43HSmjY9n1zjF87gA6BaWes6YnU7ilhrqjFpKylSOlIxemYXP6qGlxdcrdd3gOfH6pz96hpAsSqN1WR8XqSobfrFwjtISJcTTubaJ4ZRnj7gtD3Y0aZE9xxRVZLF06kt/8ZgszZ6YwcmTXG6DvG/2Owl5++eW8+OKL/PWvf2XkyJG8+uqrrFy5kqlTpyoxPkXw/PMHWbZsM3fdNYYVK6b1biFXqYPJjFoDIOMszMXbGHTBBVp9WNY2oI3REzkrTrGFUZZkrN80IAdkIufGI/RRoKMjVwEBNBFtmKfvoCHXiLN+BFHZHgZfVYYh2qtIVYOryU31xlqSpyYqpl8OJ7wIpmQTMSN7LiZSF53Mk1f8mqt/9yHvzL4em+nEZJtRkseNf3+AFffM4yHWMnWisgtuS7kDa41T8VCDLMvUHGlWPNQA0FLpICzeiNagbDWP2xZcbJX2JJyrcAOAKVKPS8HYdgeiU0NJri7iyhf/xKO3zOCqVx89hSDUpGbx5l2P88cX1rF+8S09IggAKTkxSKJMbV6LouMdMDIaY4ResZCDX5SwODy0yAGGXzUIdYgaSQpWKjhdAby+vhMEALVOzcC5KbTkt2IvUy6XQlAJZF6Zgc/mU1x6+emnZzJwYBjXXbcKt/uHWcapyIxw8803c/PNNythSnG8/voR7rxzA7fcMpKnn57Vt52+oILQ6KCEs9eFq+w4gTYXzl06VHoVkfMS+ryQdwXHbgu+Wg+R8xPQhPVvJyoIQrB0SJLRRNqIvHQLoltNYroJY4QREPpNEGRZpmRlGVqThoEX9a67XHdoOWKhrdpJ9i1D+0TCWsJieHn+7bwx+0ZmH/qGJds+7uw4Ge1q5Q+sQ/zNBo6MncbOuVeSP+aCfgvRFG2vRWtQkzpOuZALgL3eRVuzh+SRygtZtVa1KR5qgBPhhnPlSTgX8VxjhJ6WCuUWGb3byZgda7lz0wcMF4/AulN/X5BzPhsuvYljoyf3ia1HDQzFGKGn6nAzaROUC2+p1CoGX5DE0Q1VTF2ajUbX++dClmU8fhGH299ZxigIAgGfyPGVpYSkmIkdo9z9nDAxjpottZStqmDUndmKeXZNCUYGzEyialMNcWNj+rwREkWJ5kY7kVHBZ81s1vHuuwuYMuV9HnhgK888M0uR8SqJH64IgAJ4//2jLF26lp/8ZBgvvjgHVX92+oIApsigZ8HtwNdUhSrGTPiEUYp2iHSXtOHMtWGeENllA6g+Qwbr2gZMYyLQxRtorLfT5vASnxiOtp+u9ubDLViLbAy9fjAaBXeisiRTvqaKsLRQIof2r+OkT6tn9YSFrB6/gJFluVy+/gNmFm9DLUmoJZGcfZvI2bcJS1Q8u2dexp6Zi/rUUEqWZYq31ZJ+XgIahdySHahp3ykmZysrzyrLMpYqB8PmDFTULgTDDSqNgM6o/FQjqM6NJ8EYaaCqnzF+QZLIzN/LpE2fMWbnOvTfkRH36kPYO+1itsy/jtq0If37LEFgwOgYqg4rm7wIwZDD4S/LqDjQ2KsupJIk0+bx43D78YtS5zgDYjCkIIoyrVVtNBfbiclRLkwrqAXSFgzk6JuFWI5aiR6uXMfXlDnJNB1qpuijUkbfNaLXmxaX00t9u4y+zepGlmUEQWDChEQeeeR8li/fyrx5acyfn6HYmJXAvy1J+PTTIq6/fjWLFw/mjTfmo1YrsNMXBOSQcMQaLepIC+rwNjz1R1GHjkCl6X/s2W/xYdvchD7ViHlM/9swnwzHPgu+Gg+h41SdoiQup5ey4kYSkiIIDTP06UENeAKUfl5ORFY4MaOVdYM3HmjG3eBm8B3K7QgQBHLTR/GWWyAleR73Dy9iwe6viLUGJ9goSwPzV77M/JUvU5I1mj0zL2P/+fN77PptKLTiaHQz7Vblu7VVH2khKjWUkHBlVfXcVi8eh5/oFGUrGyDoSTCEnptmaYIgnBOWYIzQ47Z5kUS5s3laTxFTX8l5mz/nvE2fE910evlrgSqBz4cvpPn+2/CYlLveKaNjKNxSo3gjs5j0MCJTzBRurukRSfD5RRweP3aX7xRvjz8g4fdLp6SQDJieRMHrx7GV2InIVC7hO3pkFKEDzZSvqiBqaIRiYWC1Vk3mFRnkvXyUul0NJE1J6NH7JEmmudGOtfVEQqWgEk55Ju67bwJr15Zz441ryM39GfHxyoVs+4t/S5KwenUpV1/9JfPnp/PeexejUaiBjSxD4LgKsSYUIVyFWt1CwN6KI38/5iGjURv6/nBKXonWdQ2oTBoiZsYpOql6a904D9kwj404UUYp05m1XF9rxWHXE58YjkbTu91vxdpq/M4AmYuVLSGUAhIVa6uIyAonfJCyZbKO8jbaqpzIN2Tz2uhpvHHhzzjv+G4u2/0lE/N3dMo+Dyo8zKDCwyx57XEKxlzA/gsWcGT8DHyGM3t4irbVojdrGTBK2ZBARz6C0nkOAJaqYHlv1EDlww1uu0/5yoYOCEHVUaVhjNQjS0FhJWNE94TMbG0hZ/d6xm9dzeCCfaf93mUMZf8FC9g1cxH/908PoihzmYIEAei836oONzF8tnIeIUEQyJqWzN4PCvE4goTvu5AkGac36DXwBU54DSRJxueX8Ae6/pKihkcSEmOgZnOtoiRBEATSFg7kyAsFNO5vUrTSKnJIBLFjYihfVUnMiCh03dzbLpeXhlobfn+7Do1wIgR8MtRqFW+9NZ/Ro9/i5pvX8NVXi89Zk8He4t+OJGzYUMHixZ8zfXoKH310Kbo+xNHOBLFSQKxRoRksoo4zQCBY+SB5XNhzdxM6LAdNaO89ALIsY93ciOQMEH15Miq9cvkNkk/CtqkJbYwO89gTrjdBEIJpq3Lw851tXkqLGklIDCc0PKRHN2hbjZParXUMnD2AEIW7LNbvacRr8TLshixF7QLUbK1DH6kjZkTQbS+qNewYfj47hp9PlL2FeYfWc9Her0mvDVZ+aAN+Ru/dyOi9G/HpDOSNn87+8+dTMGbqKYRBEmVKttcxaHIiaoW7wbVWteG2+c5JPoKlyoGggojkc0QSws8NSejwiCkNY2SQGLhaPWckCWGtTYze9Q1jd64ls2Afqu/U6kkqFUdzzmfXzEXkTpjV2VMhOv0YR7+p7HQ1KwVTlIHo1FCqDjUrShIAsi5IYve7xynZUUf2RcEyTFmW8bZ7Ddrc/lO8BgExWMYodlN5IqgEkqYnUrKyDFeDC2O8cuHViMxwIodGULG2iticGEW7M2ZclkrrsVZKPis/4/wkSRLNjY6zeg++i5SUMF5+eQ5XXvklzz13kF/+cqxiY+4P/q1IwrZt1Vx66adMnJjIZ59dhkHB+LjYIBAoVqMeIKHuEGHS6CAsDhzNIPqDJZKDhqOL6ZkbqgPOg1a85S4iLoxDG6XMhNoxCdm3NyN6RKIWJJxWPnhyqWSnV6HOht3uOWuuQse5xStLMUTpGXChcrtb0S+CDFXrq4NuQwWT6QLuAKJHpPlIC2nzB3ZZTmkJi+a9adfw3rRryKorYv6+Ncw88A1R9mA+gM7nYeyOtYzdsRa/RkfhyIkcGT+TfUMmU+Q047J6FddccFm9VB9pRlBBkoL5CJIo4feIWCrbCIs39Skx7UwIeEVUGhUeu0/xNt2yJLdPuEFPQl/CAmdDBzFwtXrxJwTQtpcVRtdXMWL/FnJ2rWdwwT6ELghK3YAMds26nL3TLsEWdfoONiYtFI/Dj9PiRa1VKeplGTA6hmMbq5FEucdekJ4gNM5I0vAoCr+tYfCFA7DZvXhliUC7FLQgCIhSMKQQ8Eu9ElqNHx9LxddV1HxbR+aSDESvqFheU9rCgRx8KpfaHfUMmJ6E5JcUIQsd2gnFH5ViOdpK1LDIznsS2nMP6mwEuvEedIUlS4Zw881l/PrXW5g5cyDZ2TGKE8re4kdPEqqq7MTEhJCX18yCBZ8wcmQsq1YtxmTq/8MnB0B2AwHw56tQxUposqRTE5DV6qA6o8MCfg/OkgJEjwtD8tnd77Io46lwodIKOPa2YhoVTkimMguiLMs4D9tQh2lwF7YRdn40msgzX4/vehU6chXiEsIIjzCe9neUfFqGKdmEo6KN7FuGKqoxUPh+Ccb4EHwOP6nzlO3rcezdInRmLSq1ioRJ3bsgCxMHU3jJYJ5deAdjynOZfXgDUw9uItwZFNXSBnxkH9xG9sFtXAMUGFI43zAMNMlUipGKtetd9ehekGVi0sJwNLlRa1SKJEUKKoFPlu9ADEgYw/Xkralg2OwU1AqE5wI+ka/+sBNHoxu1VsX21wuYcuMwRSa75jI7h74oRZKCfTfsDS5m/GJkv+1CsLdAR/+K/E+OkxRWw+LYCrIPfEtCTVmX72lITOXglIs4OOUiqtOGnrFCoe6YBW9bsMxt47OHSB4Rw7glmYqM29HoImFIJIe/KGPNX/YxcEwsI+anKWJblGSGXZ6O0xOg1nJiZ9zRidEfkJD6qFeh1qlJnBJP9eZaNCEaTMkm4hSqdjAnmYgdE0PVNzWodWrUejVxY5WxfbJ2QtY1Knw2H9E50TQ12LHbTiSpduc96ArPPDOLb7+t5tprv2LVqsVs2VLNT386vPs3niP86EnCww/vJDHRxHPPHSIzM4I1a64gtIu4WV8g1ghIFgHJLiCEgjZb6vr57yiRdNnA04anphzR5cQ0aBjCGdoXeytd2Hc2I/tldIkGQs9TbocYaPbh2GNB0KrQp4T0SK2xK69CY33who9PDEevDyZm+uw+6nY0IKgEooZF9Lvq4GRIAYmWIxaaD8uYkk14W70Y40IUSzxylDsIuEX0ETqqvqkhbcHAUySezzgulZr9GWPYnzGGJy/7FT9f/SJXbvonrWHRnR4GgOGeKoZTBb9bhz0sivxx08gbP4Njoyb3K0nN7wlgrQlqvO96+xgLfz+hz7ZORoe73l7vwl7vIjotVBGCAGAI1eFp8wflnvMtJI/snSDY2RCTHkZtfgtSQKImr4X085Qr+xsc6SHx8/f5LfnMLigmlK71Elqj4om0NPDKsqc4NOWiHpUuhsYa+eLB3QBU57aQNV25cmGX1cu6Jw8AUL6vkbR+Kn1KkozLF8DpCeDy+NGnmNATnBtcFg8qs7bTk9Af2ErteK0+5IBM9aZaUucrtzHwtnqJGBRG04Fmij8uJXl6omIkoUM74eCTueS9fJSYGfE4SiTE9kqO3ngPvguzWcd77y1kypT3mTjxXYYMifwvSegriotbeeONPERRZsiQKNatW0JExNn7G/QUsgSBKhV4BVDJaLPEs0tPCQKYIoJyzs5W/K1NOArcmLJGotaf7m51HbUjtQXdUdoYPaIjgCZcGXU+d6kzuNj7JMS2AN4KF4a0nmXLfter4HH7qShtJiraRFRMKNai4C5almQsR61UfVPDwDnKTHauelcnQXHWOvE7A4oRhIBHJOAOXm+v3Ufk0MgeEYTT7Kg0JDdUkr0j8CMAACAASURBVJs+iv+563mGNhQzpWAH5x3ZzpDy/M7zwuwWJm/6jMmbPkNSqahKH0ZR9gSKRkykeNi4XpGGjjCASqNi6lIFKz2AsDgj1honKo3A2MXK7Go7ED84Anu9CwQYOku5BVFQCaRNiCd/bbA/TOq4vi+IZpuFwfl7GZy/l6y83SRWdd2ZT1SpKRuaQ97YaeSPm05DYiorbp5GclURh4R5PfusaAPZF6V29i0wRyszVwHEZ0WSPTeVvDXBBm59IXuSFOyh4PQGOjUNIHi9XRYPlZtrqd3TSPzkeAbOVub7DEsNpWrDCbEmr0U5ESu1QU397hM9WxxVZ++/0xv4HD6OvV2IyqQmdEoUqhRDJ0Hoi/fgZHi9Ad5+uwCzWUt9vZOGBie1tW0kJSmfM9QT/KhJwsMP70RsZ7OFhRb+8Y887rtvgiKTqNQgBAkCgCQg1qrQmKTur5jBFJRzdrQgutqwH96NeehotGEnkgZFRwBvVbtLSgBBI6A2K/NVyLKMp7St03bIkFD0qb1LCOrKq2BpceKwe/DXOzttD1qc3uMyoJ6greZER7TBSzKIH6+cTKn3JJndzMUZRGb1LZva6HEy4fheXrr4F0gyFMRlUhCXyX0V55F9pZqLtYVMyt/OmGN7CGmvjVdJEqkl+aSW5DP7izfaScNwikZMoDB7IuVDRuM8S8JrR2hh7OUZRCioZgkQGhcksENnpiieOxCfFUHR1loGjoklVGEZ6Q6SEJFsIjyhh/e3LBNbV0FqcR7pxw8xOH8vyZVFZzy9ETMl02ZRMH46R3OmnFYGe2TCTHJ2rmfVNXf1eNxjFw+iYH0lAa+ISUGSAHDeT4ZQuqsel9Xb48RZsZ0YuL5LDNqrE/wBiUBAwidD3YFmPFYfoke5jrGCWmDo9VnkPpeHs9aFu0W5nhmaEA0jbhvGkZcKaKty4qxxnpI70C/bJi0p16XT2upEUAvIoozsk1CbNP1ef/R6DffeO54dO2rZv78BWYaPPjrO//zPuH6Puy/43kjCc889x3PPPYco9u2GKyho5t13CwAYMyaOp56awYwZymT1yjIEKoMPmWCS0Q4VUfXGq67VQ3hcsOeD6Kft6EFCUrPQxycjCAKu40H9dnVosNxRl6jcZBGw+BDtAQSDisgL49EP6Pvk3OlVIEgW/H4RMgyEq2JJSI4gTuEyvw6SMGhxOgmTlG2M1NFCNnlaIomT+257SsF2dKKfLSOndb4mSzKNuRb8vgj8S+fz5cSFGGU/Y0sOMj5/JyMLD5BRU9x5fpA05JFaksfsz18HoCkhhfLBoygfPIqKwSOpSh/WmRGv0asJjQthjMI7fQi6wFVqgbFXDFLcdvzg4EMzbLayuSUQlAzWGtSkjj1zbkm4pZHU4iOkFh0htTiP1OK8zrbLXUFUqakaNJz8MRfw/L5I9pHCkl9NO+P5hybP4bwtXxBfXUrDgJ4J4Bgj9Iycn8rBz0oxRylLEvQmLVOXDmfdkwfP6iULiBIub5AYuH2BromBKJ+SZ6AxqBl6QxaH/n4E0ascSeiwnX3LUA49k6eoJwGCRGHk7cM7iYK7yd3vKgqX00tjvQ2fT0RQC/hbfNg2NmIcGoY5R5nwa1paONu2Xcvdd2/klVdy+eCD/0CScOedd3LnnXdit9sJD+/9ru6hh3aQmGjmscemcv312f1TU/wOJIuA7AJNhog6Ve7Uie8V1JpgQmObFXwu3BWFiE47IalZuI47CMkyEzYlRtFyRwBPqRNNjI7IufFoQvsfvuhkxSqQPCJoBAxpJqz40bS0ERllUsz97axxkXFZGknnK+ed6IDX6iNqWATpl/SvO+n03C0UDBxGY+SJMUp+Ca1ZS9Y1gxBUAqIo40DDlvQJbMuciEatItJjZ1TxIUYW7j+NNADE1lcRW1/FhK2rgGBZZs3AwdSmDSHJEoJr1jgCbittemUFq0LjQhgyYwBhcQqqe7YjJj0Mc4yBtH6EA84EtVbNwDGxpI6PQ5AkIpvrSKguJaW0gIHFeaQVHyHiDO3BOyCpVFRmZAc9OiMmUjp0LB5j0KXrH1BLTDe9EI6OPh+vIYScXetYu+TnPR57zqJBFG2r7ayaUBKDpiQycGP1KZ6EjnJFt0/E5QucolvQUZkQaPcYnC3/0JxsIuOSNByVyklWd0Afrif7lqEceT4fSZRQKSF+146TiYKjytlnkuD3izQ32nHYT3g7BEFAG61DP8CIt8qlGEkAMBg0vPzyXCZPTuTOOzdQWWln4EBlNWN6AkH+nptZd5AEm81GWFjPLkBRUSvvv3+UZcvG96uKIWT2ii5fD5QLqOJkVErMm7IMnrZgUiOg0pnQmDIxZSnfpEeWZZyHbJhGhiEolIB2MjyVLtRhGtShJyY3nU5NbHw4JnP/yq1kSe6Villv0XSwmchhkWgMfa8KMHjdfPHgxbw+92ben/WTztd9bX7aqtuIGnp2CVi1SkCjEdCoVYS77IwoOkh28SGGlOUzqOo4en/3uyh7RDQ1A7NoSE6nMTmdhqQ0GpPSaI1O6FM1RWOJDb1J23OXfS9RsjOoG6EEVAE/sfWVJFSXklBdQujhAjJctSTUlp0me9wV7BHRlGcGPTUVmSMoG5LTSQq+C9EvUXWoqdteCDf/7V5i6yr4y5Mre/W3FO+oI3OKsqWyHbA3uHDavJhTTLh9Ih5f4JTFX5bldmIgExB711RJlmUa9zcrGgo8GZZjrRjjjRgilVUVBfC7AlgKWns9dkmSsVqcNDedRI6+k5goyzKuPDvGYaE9nntrX1zc4zEcPNhAebmdyy8f3Kuxn4y+rLXwIyUJStWNnokkKNEV8TT4PcEySVkCQYU5ayTaCGWJQsdXea5qajuuuyzLnYmNHTCZ9cTGh6HT9W13dK5rgZWwP/3wJh556w9cs/wDamOS+2VbJQRV1jQaIUgeJJG0mmKyygsYUpbH0PICkusrUPVQUtCv1dEcPwBLbNJpR2tMAo7w6M7wxcn4IV13rddNhKWRqKba4NFYe+LfTbVEtjSgFgM9suUOMVGZOYKKzJGUt5MCa3RCrx7snox97PavWfrkMv74/FpaEnoeVlH6uouSjMcfwOMT8fjEzn4JJ39eQAx6DERR7pWWwXfxQ7pnzqXtDpG5pkY7ft+JEMvZEhN7Y783JKG3trtCX0nCjzJx8VwLS5wT81rDqXkKxw9jSE7HkJymXHOTc35dTsQuOxMb2wmDs82Ls62JyGgT0dHmXrsL/1Vj7w+m526mKCnzFILQV9uSHCz59LeveRq1wNHEwRQNGMLX04KTh87nYWBdGek1xWTWlZBeU8LAqkJCHdbT7Gn9PhKrS0msLj3jZ7qMoTgionGER+EIj8EeEY3LHI7baMZtCsNtMuM2huENMSKqNcFD0/FTGzxOfk2tQVap0Ph97YcfTcCH1ucN/j8QfF3vcRPitGNss2N02tp/Bv9vclgJa20izNpMiNt5xrGf8TqqVDTHD6A+eRD1AzKoS8mkYvBIGpPSkFX986b15HvNHzsNn05Pzq71bFjU8064/b0fRSkYQuggBl6/eIpNWQ7mFARE+bT8gv7ix/Cs9te21+unqcGBy3nCu9cx753Nxg9h7ErjR0kSlICSD83JOKsXQq0JEgWnFbxOPDVlSH4fpvTuu8B936pbXaGzDbUsd1ZBtLY4sVvdpGbE9LoPxA8ZOr+XKUd38N7Mn3R/ch/QMZl7CWpxaNQq/GodhQOHUpw6jPUdJ8oykQ4LGa21ZNnqiKstJ762jPiacqKaatD5zhyyMLocGF0O4mvLz8nfcC7hMoVhiU2kISmd+gEZ1A8IkoLGpLQuPST/KnhDTBTkTO01SegrAqJEo819GinoyC0QxaCnQAkNg/9UOOxu6mpOIuL90Dz4d8B/JEkQRYklS74gUC6gSVPuYZIl8B9UoU6WUSecwa4ggDkyKOnssuHz+umuqE3ySVhW1xE6IQp9snKlZKIrQOu6BsIviEEb3feJ9rtVEAFPgKOvHmfw1YMUjS1ai23U7Wxg8JIMNAomfTUdasZWYmfQovQupZoBxhfuxeh1s2XUjB7brd1Rj8/uI21e76puZJlg17x2L4NKBWqVCrVaQKMWaA2LZrMrhJbZU057Y6ithcimOqJPctOHW5oItTUTam0hzNZCiEu5enEl4DaasUfEdB6WuNNDJt/NHRD9EltePsLQGW0kZSt3j7laPex+r5BRF6cRndozl+yhyXO48ZkHiGiux3oGSfbW6jb2ryxm8vVDMfWjqkGtEjoJgiTJuG1e6g80EzsxFqGfnpNTxnvMSuOBJrKuzVR0cWw80Iyt1M7gJcq2Q675tg6f3Uf6xf1LTAYwGk/cT85cG4IgKJqQKIsy1s1NvPlmHj/72QjF7J4r/ChzEvoDWZb55S838Pzzh/jgg4u56qqhitm97bZ1vP56Hhs2XMX06d3HJx1OD6Gm7ieMG25YzUcfFbJ//08ZPly5ssOrr/6StWvLKSi4STGhDl9A4rIrPuPw3gaKipYqIo/dgdmzP6S6uo38/BuVaf3djilT3kOtFti69dpTf1FaCg4HjBoFN94Ie/dCQUGP7Y4e/SaDBkXwySeXKTZWSZbJnvQOkyYl8vozs/tmxO2GxkZoaACrFWw2sFp56J7VTBsdyqyJ0eD3g88X/Pndw+eDnTvBZIKMDNDrTz0Mhs5/yzodjz99hEkLspl1xWiIjDz1iIoCY++TJt1uP0bjM7z88lxuvXVU365DF6itbSM5+UU+/PASrryyew8fELyGcXHwt7/BHXfAnj2QlQUxJ57VvLwmRo58kzVrruCii9L7NcaD1TYGRoYQbdLx7bdVTJ/+ATt2XMfkycr1UPn44+NceeWX5Ob+jJEjlUtSfOGFQ9xxxzcUFS0lM/Psib69wcMP7+DRR3dRXHyLIhUA9VY3CREh3HHHet58M5/CwqUkJyvTuVOWZa644gs2baqkoOAmEhP/NSJJfV5r5e8ZNptNBmSbzfYv+bwVK3bJ8IT81FN7FbX7wgsHZXhCfvbZ/YrafeedfBmekF944aCidj//vEiGJ+RXXjmsqN0NGypkeEL+xz9yFbW7a1etDE/Ib7xxRFG7ubmNMjwhv/VW3um/nDNHlkGWU1JkWa+X5ZtukmVJ6pHd4uLWM9vtB2pqHOfEbnOzq3fXd/x4Wb7ttm5Pczi8Mjwhv/aasveDx+OX4Qn5pZcOKWrX5wv0/jn2+YLXIyFBliMigvfM8uWnnOL1BmSN5kn5ySeVnXfcbr9sMPyv/NhjuxS163T6ZKPxf+U//GGronbtdq9sNj8tL1u2SVG7FotbDgt7Rv7FL9YparepySlHRPxdvv76VYrara11yJGRz8qLFn0qSz2cU/qLvq61ytfJ/YDx7rsFPPDAVu65Zxz33DNeMbtbt1Zz110buemmEdx55xjF7JaWWvnFL75h0aJMbr99tGJ2bTYvd9zxDTNmpLB0qTKNcSAYxlm2bDM5OXHccEO2YnYBHn10F2lpYVx33TBF7b7ySi4REXqWLOmi5WtSUtDXX1UFXi+8/jokJ8Ozz3Zr99NPi9BoVFx8sbIiRdu2VQMwdWpyN2f2DsePWwAYOlTZipuWlmBpYnS0soqLHbooSucWabVqoqIMNDa6uj9ZkuDuuyE6Gvbtg/r6oFcBIPHU8kadTs3gwRHk5zcrOl6DQcPkyYls3lylqF2jUcvChRl8/HGhonZDQ3XccEM2r7+eh9vtV8xuZKSBu+8ey2uv5VFdrZyOQ0yMkQcfnMLbbxewe3edYnYTE808/fRMPvusmI8+Oq6Y3XOB/xiSsGFDBTfdtIYrr8zib3+boZjd6moHS5Z8wdixcTz//GzF4nd+v8i1135FWJiOV1+9SNG44PLl39LS4uHll+cqavett/I5dKiRJ5+coWg4IDe3iS+/LOE3v5l4xvbVfYHL5efttwu44YZsQkK6EJ4aMuT0LNS6uqCrvRt8+mkRM2emEBmprKre1q01JCebSUvrm6z0mXDsWJAkDBminAsYoKVdZjdaYQnic0USAOLijDQ09IAkCAKsWxcMSX0XQ04PVYwYEUNenrIkAWDGjBS2basOKqIqiCVLsjh61KI4sfnFL0ZjsXj48ENlF8d77hmHTqfir3/do6jdO+/MYciQKH71q42nlH33F9dfP5x589L45S830Nzcg/vte8J/BEnIzW1i8eLPmTw5ibfeWqCYOqPHE+Dyyz9DEOCTTy7DoFAfdIAHH9zB3r31vPvuQkV3Ydu2VfPCC4d56KHJDB6s3ILgdPr43e+2ccklg5g1Sxl57A48/vhuEhJM3HSTskk+H39ciNXq5dZbz+BNGTIETpYNV6lg1ix47bWz2q2ra2PHjtp+CZ+cCdu21TB1arLimdbHj1uIjzcq1iCtA+fKk3BCxEZRswDExxt75kkQBNiwAdLSQPOdZ78LkpCdHUNBQYuiCw0ESYLLFWDfvgZF7S5cmEFIiEbxne6IEbFccMEAXnjhsKJ2o6JCuOuusbz8ci61tcol52q1ap56aga7dtXx3ntHFbMrCAIvvTQXj0fkf/5nk2J2lca/PUmoqrIzf/5KkpPNfPbZIsUWclmW+fnP13P4cBMrV16mWFILwMaNlaxYsZvf/W5SjxIgewqPJ8Att6wjJyeOe+9VLtwC8MQTe2lsdPHXv55Z674vKCpq5cMPj7Ns2XhFSRjAyy/nMmVKEiNGnCExK+ukEIRKBRdcAF9+CSFnX/A+/zwouXzZZcr2WrDZvBw+3MgFFyjXUbEDx45ZGDpUuXblHThXnoQOjvS9ehIgGH7auvVEaApAp4OU05/b7Oxo2tr8VFaeuX9EXzBxYiIGg0bxkIPJpGPBgnQ++kjZkAMEvQm7d9dx4ICyxObee8eh0ah44om9itpdsCCDefPSuP/+b3E6fYrZHTgwjCeemM577x3liy+Ku3/D94B/a5JgtXqYP38lsiyzZs0SRV2///d/B3nzzXyeffZCzj9fufhwc7OL669fzaRJSTz44JTu39ALPProLoqKWnn11bmKuu1rahw88cRefvGLHMVj2itW7CYiQs/Pf65cTgZAfn4z27fXcNttZ8mMzzxpkZ88GVat6lEm/v+3d+dhUVdrHMC/w8AwsQ2CouKCKyGiiIgI7lfDTMXwunbBcqcQNzLsmuXT09XMNRU1LCpDzWuCay74KIsrKmoqJIogICKIyL7NzLl//BqSnBTk/Phd8f08j486D3N4fzMw884573lPZORteHjYcj/a9ezZLDDGvx4B0CUJ/FuF62YSrKz4zyTIZOIkCc2bm9ZuJkGndWshUWj+RwtnK6s/E4YndO0q7Ha4cePZZ0LUlVh1CQAwbtzrSEzMQ2Ii3yWHMWM6w8bGBJs3X+E6btOmJggI6IEtW64iO7vuzbmeZc2awcjOLsFXX/FNQGbM6I7Bg9vA3z8Kjx/zOwWTl0abJFRUqPH223uRnl6Ew4f/yfVgjOjodMyffxIzZ3bnWlDIGMO0aUdRXFyJHTtGwJDj+QvXruXiyy/jERTUC66ufM9H+OSTUzAykuOzzzy4jpueXoht2xIxd25PmJnx20oJCAWLKpXxs7e5KZVCUmBrCxw5Imz5e478/HKcOJEOHx/+JzbGxWVCpTKGkxPf0zcrKzVISXks0kxCGVQqY64/yzoGBjJRlhuEmYQ6vsG0bQucOSNs/bTS/zh26mQJhUL+UtUljBjRAUqlIfcCRmNjQ0yb1g3btydxf2MMCuoFmQxYtYrvm3mXLtYICHDBV19d4DobZGAgw9atw1BQUIGgoGhu4/IiWZIQEhICR0dHuLm5cR9bq2V4993DOH06CxERo+Hs/PfHydbV3bsFGDfuANzdW2L9+n9wGxcQ9hDv35+Cb77x4lqYptFoMX36UdjZWWDpUr6zE5cvP8CPP97AJ5/0QdOmfA8JWrXqApRKOQIDe3Idt6ysCtu2JcLPzxEmJs85KfPmTaFfglntZgUOHboDtVorSj1CXNw9eHraci0KBYCUlMfQaJhoyw28lxp0dA2FeGve3ATFxVUoLa1j9X27dkBWlpAs6GFkJMfrrzfhXggIiFeXYGamwPDh4iw5zJrVHeXlamzbVvveI7VhY2OK9993xubNV5CTw3c24bPPPGBiYojg4Fiu43bsaIn//Kc/wsKu49ixNK5j15dkSUJAQAASExNx4QLfbA8AgoNjsGvXTYSFDcPQofXvwKVTWloFH599UCjk+OUXbxgb81sjv349F0FBMXjvva6YOJFPgyedDRsuIz4+G6GhXs9/U6wDxhiCgqLRrp0KgYH8tn4CwIMHJdi69Ro++KAH9x0Ce/bcQn5++bOXGnRatxY+HdZSZOQtODk15dooBhBmxuLj74tSj/Dn9kdxZhJ4Fy3qGBiIkyTY/HFsdp2WHHSsrADV3yf4Xbs25b7cAIhXlwAA48bZ4/r1h/j9d75x29mpMGJEB2zadIV7MefChb2h1QKrV1/kOq6V1Wv4/PO++Pnn33H69D2uYwcGusDDwxYzZx5DURG/uof6anTLDevXJ2DVqotYtqw//Pz47dVnjGHGjGO4cSMPERGjuXbJKiurwsSJB9GmjTk2bBjCbVwASEsrwOLFcZg61Yn7roODB+/g5MkMrFgxgGvCBABr114CAO4FloBQsNinT0uuneQAIYk8ciQVY8bwn0W4ePEBKio06N9fnHoEpdJQlLPqhSRBnJkEYblBnJoE4AWThOfo2tUaiYl53JMbMesSRo7sCGNjuSizCR980AM3bz7CyZN8427RwhSzZnVHSMgV7tsLZ81yRteu1pg79wTX51EuN0BY2DBkZ5fg44/5zlTUR6NKEvbsSca8eSfg7++MRYt6cx17zZqL2LEjCZs3D4W7O99z4D/8MAbJyfnYuXME17V33Q4Mc3MF194QgNDH4cMPo+Hpaau/EVE95OeXY9OmK5g+vVv1CzYviYkPEReXWbtZhDo6diwNpaVqkbY+ZkKhkKNXL771JICQJNjbN+G2NfhJwnKDWDMJ4u1uAFD7HQ514OTUFGVlaqSmFnAfW6y6BHNzYcmBd10CAAwb1h7t26u4FzACwEcf9YZara3+wMGLoaEB1q4djEuXHmDbthtcx3ZwsMbSpZ4ICbmC2Fj+Cd+LeOmThIoK4RScU6cy8a9/HcKoUR2xceMQLvvIdQU1x4/fxUcfxSIgoAemTuXToTAvrwzFxZXYt+82Nm26gmXL+nMrKCwpqcTt2/kID0/E0aNp2LhxCLcp+6oqDU6dysSWLVeRnJyPNWsGc9uzr9UyREQkY+PGyygrU2PhQn71KowxbN36G7ZuvQYLCwXGj69lX/5aWrPmIiIjb6FdOws4O/OboSgtrcLatRcRF3cPvXu34LoNNDe3FGFh15CUlAcHBysUFVU++5P5uXPApEnAxIlASgpw/Ljw73ffFbpSPiEtrQCHDqVULzdcvsxvrTwl5TGuX8+FTCZDWZkaBw6kcBs7I6MQSqWw8+fmzUcID+e3Xl5WVlW9w+HEiXR8//01bmMDf9Yl7N+fgh9+uM517LFj7fHbb7k4dSoT27fze0wMDGTw93dGZOQt/P57Hn75hV9PBltbM8yY0R0bNlxGdnYJDh3i93PyxhvtMGpUR3z8cRyKiioRF5fJbewPP3SDq2tzTJt2FKWlVaLUsNQJx9bQL6S+ZzdMm3aEJSRksyZNNjB393BWUlLJLbbg4BgWHn6DWVltYAMG7GSVlWpuY2/adJnNnn2cWVltYF5eu5lGw69/94EDt9mgQT8zK6sNbPRovr3BL168z+zsvmHW1hvZpEkHuI3LGGN37xYwE5O1zNJyPZsy5TDXsQsKyplMtpKZmKxlI0fuYTEx6dweF7Vaw4CVzNBwNXN3D2dffXWe2/Op1WqZXL6KyWQrmb39t+y9937lNrZarWEKxRoGrGQ2NiFs1KiIZ99h61bhXAKZTPj7yX8nJNT40vLyquqxjY3XsMmT+fW+z88vqx5bJlvJAgOPcxs7Le0xMzNbx4CVDFjJgoNjuI19/nwWs7f/tnrsxYv5nYtw+nQmGzNmb/Vj8vHHsdzGvno1h33xxVkGrGQKxRq2YMEJbmPfv1/MoqLSmIHBKqZSrWczZx7lNjZjjGVkFDKFYg2zs/uGjR27j+vYycmPmJHRatanTzgbOHAn17GvXHnADA1Xs3Hj9rGuXcO4jPlKnt2QnPwIYWHX4Om5E9bWShw44MOtMK+iQo2wsGvw9f31j65jo7j2Fti583ds3HgZhYWVWLSoNzQaLbexDx9ORXR0Bh49KkeHDiokJvIrODp7Ngt37xYiL68Mycn5XDP/pKQ8lJaq8fhxBcLDE/HFF89vf1xbDx6UgjGgtFSNgwfv4ObNfG4zIGq1tvrv8+fvo2NHS25T9zKZDCqVMRgDkpPz8c47XbiNLZcboH17ocguJ6cUQUHPqf/w9RVOO3xytsHAABgyBHCpWbhqbGyInj2FXUUVFRpuM3AAYGmprK7NYEzYpseLnZ2qRnGomxu/5Z3evVuiQ4c/ixrbteNXA+LhYYvHjysACI+JmRm/AmVHR2scPCh8Cq+s1KCigt9yhqmpEebNE9b2CwoquHZKzM0txahRkVCrtbh7t5DrJ/LycjXWr0+ASmWMc+fu4/z5bFRW8nlcGGNITS2As3Mz7N6djBs38pCc/IjL2C/ipU4SVq26CMaEJ0yhkHOd8omMvI3cXKERzL17xVi69Ay3N/KMjMLqWNVqLdavT0BJCZ/DThhj+PXXO9X/z80tQ6dO/M5CP3Mmq/rfLi42XNffdecHAMDUqd2weHEfbmM/WYQ2Y0Z3rscL65IEAPD1dcSYMXxrNFQqYXeFt3dHvPFGO65j6342PD1tMWDAc3ZOKJXAkiU1z7PQaIDPP9f75X36CEcXd+igev7YdaTrZmliYsi1KymAGvUqPJMEzLrbdgAADHZJREFUAPj00z+3IPPc5iyTybBhwz+q+1HwrG0yNDTATz+9BVNTIfEoL+eXJJibK7Bvn0/1cmhWFr8ti82amWDXrpHVhbO3bj3m9kauVBpixozukMuF34XycjW37pEymQw2NiY1ejEcOnTnGfcQ10ubJGRnl+DHH4WiEVNTI0yf3g3e3vwa2GzZIhTSKJWGWLt2MDZuHMptf/quXcKnb7lchlWrBiIiYjS3nvk3bz5CWprww7V0qSe2bRvOdefB2bNCkjB7tgu++caL6559XZLwz392RkgIn7oSHV1zHHf3ltiwgW9/C7Va+GTdqpUZ97EBIUkwMjLA6tWDuI/dsaOQJCxe3Kd2j/f06UCzP2ouZDJhFsFTf+8NDw+hwHfKFCfuZ014ewunaw4dase9XfeIER3QsqUpbGxM0KYNv3brgPCJ/403hG3ZPGcSAMDRsSnmzhV6ivCcSQCATp2aYN26wQDAdSYBEH4G//vfUZDLZbh/n99MAgDY21vh6NGxsLBQQK3Wcv1E3r17M8TGTqz+GTl1it+WSE/PVoiP961unHbwICUJdfb115dQWamBj09nJCVNwfz5vbh1dUtKykNMTCZcXZsjIcEP8+a5cq383rnzd7RsaYqTJycgKMiN6wvo4cOpUCjk+Omnt/DZZ55cx87OLkFaWiEWLnTD+vX/4F4Nn5SUh8GD22D79hHcGwbl5JTCxsaEe38L4M+ZhLCwN7kfkAQAKpUC8+e7cu+9AAgv0M7OzTB8ePva3UE3mwAI89p/M4sACDMJMhnw7rt8jw0HhGUBZ+dmXJcadIyM5Jg6tRvc3FpwT24A/PF7Ce4JCAB8+qkHWrQw5Z4kAMC0ad3g7d2xulicp6FD7bB69SA8eFBaY2aOBxeX5jh0aAxee82Qe48Ke3srnDo1CZ06WXJNEgBhpun06Ul46632iI3NREFBBdfxa+ulTBIKCyvw66+p2L/fBxERo9GmDd+M/LvvrmHpUk+cPfsOunTh288+OfkRLC2NcfnyZFEa48THZ+P48XHw9XXkPvbZs1n49FMPrFgxQJQXTxMTI+zd+zb3N3EAePSoHLt3j0Lr1vxfmNVqLd5/3xleXu24jw0I26J4Lr08qWNHFf79b/e6PZ/TpwuHGLVt+7ezCIDwJjhlihP330+d0aM74a23+CcJADBtmhP3rc46ffu2gp+foyg/5xYWxli5cmD10gBPMpkM3347TJREGADmzOmJyZMdRelP0a9fa/zyizdu3crnPnbbthaIi5v0/N1BL8DCwhj79/tg9mwXHD2aynXs2pIx3ldVR4WFhVCpVCgoKICFRe1eTDIzi9CkiTFMTfn289e5fTtflE9tgHAeQatWZtw/KQNCPUJGRpEoTXEA4XEX400WEFpHP3xYxr0vgk52dglatBBn7OJioTsa7/MldHJySmBjI07seXllsLQ0rvvP45UrwrJDq2c3d8rNLUWzZnzbdTfE2GKPL+bYjDE8fFgm2vgPHpSI9ntaXq5GWZmae5dVnaysYu4Hr+k8elQGpdKQa1fbJ6WnF9brtf1F3muBlzRJIIQQQkjtveh77Uu53EAIIYQQ8VGSQAghhBC9KEkghBBCiF6SJQkhISFwdHSEmxu//vyEEEII4YcKFwkhhJBGjgoXCSGEEMIVJQmEEEII0Yt/y6860q12FBYWPucrCSGEEPIidO+xda0wkDxJKCoqAgC0acP3JDdCCCGE1FRUVASVqvYnkEpeuKjVapGVlQVzc/On+se7ubnhwoULLzRufe5bn/sXFhaiTZs2yMjIeOFCTLruhr1vfe5f3+uWKu763peum667ob53fe//sl4378eMMYaioiLY2trCwKD2lQaSzyQYGBigdWv9Bx3J5fIXfsOpz3153N/CwkKS2Om6X4xU1y1l3PX93gBdd0N/b7ruhr2vjhTXLcZjVpcZBJ3/68LFgIAASe7L4/5SfW+6bmnuL9X3lfIxqw+67oa/P113w2sMr2mSLzc0Nq9q3we6brruVwFdN133q0a+dOnSpVIH0djI5XIMGjQIhoaSr+Y0KLpuuu5XAV03XferhGYSCCGEEKLX/3VNAiGEEEKkQ0kCIYQQQvSiJIEQQgghelGSQAghhBC9KEkQQVJSEry9vaFSqWBubo4+ffogPT1d6rAazKxZsyCTybBu3TqpQxFVVVUVgoOD0a1bN5iamsLW1haTJ09GVlaW1KGJatOmTWjfvj2USiVcXV0RFxcndUiiWr58Odzc3GBubg4bGxu8/fbbuHnzptRhNbjly5dDJpNh3rx5Uociunv37sHX1xfW1tYwMTFBjx49cOnSJanDkgQlCZylpKSgX79+cHBwQHR0NK5evYolS5ZAqVRKHVqD2Lt3L86fPw9bW1upQxFdaWkpEhISsGTJEiQkJCAiIgLJycnw9vaWOjTR7Nq1C/PmzcPixYtx+fJl9O/fH8OHD2/USXBMTAwCAgJw7tw5REVFQa1Ww8vLCyUlJVKH1mAuXLiA0NBQdO/eXepQRJefn4++ffvCyMgIhw8fRmJiIlavXg1LS0upQ5MGI1xNmDCB+fr6Sh2GJDIzM1mrVq3Y9evXmZ2dHVu7dq3UITW4+Ph4BoDdvXtX6lBE0bt3b+bv71/jNgcHB7Zo0SKJImp4OTk5DACLiYmROpQGUVRUxDp37syioqLYwIED2dy5c6UOSVTBwcGsX79+Uofxf4NmEjjSarU4dOgQ7O3tMWzYMNjY2MDd3R179+6VOjTRabVa+Pn5YeHChejatavU4UimoKAAMpmsUX7qqKysxKVLl+Dl5VXjdi8vL5w5c0aiqBpeQUEBAMDKykriSBpGQEAARowYgaFDh0odSoPYv38/evXqhXHjxsHGxgYuLi7YunWr1GFJhpIEjnJyclBcXIwvv/wSb775Jo4dOwYfHx+MGTMGMTExUocnqhUrVsDQ0BBz5syROhTJlJeXY9GiRXjnnXcaZQvXhw8fQqPRoHnz5jVub968ObKzsyWKqmExxrBgwQL069cPTk5OUocjup9//hkJCQlYvny51KE0mDt37mDz5s3o3Lkzjh49Cn9/f8yZMwfbtm2TOjRJUJJQD9u3b4eZmVn1H10x0+jRozF//nz06NEDixYtwsiRI7FlyxaJo+Xnr9cdExODr7/+Gj/88MNTx303Jn+97icL9qqqqjBx4kRotVps2rRJwijF99fnmDHWqJ/3J82ePRu//fYbdu7cKXUoosvIyMDcuXMRHh7+ytRUAcKsaM+ePbFs2TK4uLhg1qxZmDFjBjZv3ix1aJJ4NZtRc+Lt7Q13d/fq/zdr1gyGhoZwdHSs8XVdunTBqVOnGjo80fz1unfv3o2cnBy0bdu2+jaNRoOgoCCsW7cOaWlpEkTJ31+vu1WrVgCEBGH8+PFITU3FiRMnGuUsAgA0bdoUcrn8qVmDnJycp2YXGqPAwEDs378fsbGxf3u8fWNy6dIl5OTkwNXVtfo2jUaD2NhYbNy4ERUVFZDL5RJGKI6WLVvqfQ3fs2ePRBFJi5KEejA3N4e5uXmN29zc3J7aHpWcnAw7O7uGDE1Uf73umTNnYtSoUTW+ZtiwYfDz88OUKVMaOjzR6Hu+dQnCrVu3cPLkSVhbW0sUnfgUCgVcXV0RFRUFHx+f6tujoqIwevRoCSMTF2MMgYGBiIyMRHR0NNq3by91SA1iyJAhuHbtWo3bpkyZAgcHBwQHBzfKBAEA+vbt2+hfw+uCkgTOFi5ciAkTJmDAgAEYPHgwjhw5ggMHDiA6Olrq0ERjbW391JujkZERWrRogddff12iqMSnVqsxduxYJCQk4ODBg9BoNNWfsq2srKBQKCSOkL8FCxbAz88PvXr1goeHB0JDQ5Geng5/f3+pQxNNQEAAduzYgX379sHc3Lz6OVapVHjttdckjk485ubmT9VdmJqawtraulHXY8yfPx+enp5YtmwZxo8fj/j4eISGhiI0NFTq0KQh8e6KRum7775jnTp1Ykqlkjk7O7O9e/dKHVKDexW2QKampjIAev+cPHlS6vBEExISwuzs7JhCoWA9e/Zs9FsB/+45/v7776UOrcG9ClsgGWPswIEDzMnJiRkbGzMHBwcWGhoqdUiSoaOiCSGEEKIX7W4ghBBCiF6UJBBCCCFEL0oSCCGEEKIXJQmEEEII0YuSBEIIIYToRUkCIYQQQvSiJIEQQgghelGSQAghhBC9KEkghBBCiF6UJBBCCCFEL0oSCCGEEKIXJQmEEEII0et/BtkEeisn1BAAAAAASUVORK5CYII=\n",
"text/plain": [
"Graphics object consisting of 23 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"show(Contourf+Cercle+Champf+Champg,aspect_ratio=1, figsize = 8);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Conjecture:** Les points de maximum / minimum de $f$ sur la courbe $g=45$ sont précisément ceux pour lequels les vecteurs gradient $\\nabla f$ et $\\nabla g$ sont colinéaires. En d'autres termes, il doit exister $\\lambda\\in \\mathbb{R}$ tel que $$\\nabla f = \\lambda \\nabla g$$\n",
"\n",
"Demandons à SAGE de résoudre les équations qu'on a besoin de résoudre. La fonction $f$ a déjà été définie,mais pas $g$, et nous avons également d'une nouvelle variable $L$ qui jouera le rôle de $\\lambda$."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"(2*x, 2*y)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"g(x,y)=x^2+y^2\n",
"dg=g.gradient()\n",
"var('L')\n",
"df(x,y)\n",
"dg(x,y)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
}
},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
"[[x == -3, y == -6, L == (4/3)], [x == 3, y == 6, L == (2/3)]]"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"solve([df[0](x,y)==L*dg[0](x,y), df[1](x,y)==L*dg[1](x,y), g(x,y)==45],[x,y,L])"
]
},
{
"cell_type": "markdown",
"metadata": {
"jupyter": {
"outputs_hidden": false
}
},
"source": [
"Ici `df` est le gradient de $f$, c'est donc une fonction de deux variables, à valeurs dans $\\mathbb{R}^2$, c'est à dire une paire de fonctions. Ainsi, `df[0]` est la première de ces deux fonctions (on commence à compter à $0$, c'est à dire $f_x$ ou encore $\\frac{\\partial f}{\\partial x}$), et donc `df[0](x,y)` est la fonction évaluée en $(x,y)$."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "SageMath 9.0",
"language": "sage",
"name": "sagemath"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}