diff --git a/src/utils/tutorial/Support vector machine/SupportVectorMachine.ipynb b/src/utils/tutorial/Support vector machine/SupportVectorMachine.ipynb
index a8fed5e..1d8af27 100644
--- a/src/utils/tutorial/Support vector machine/SupportVectorMachine.ipynb
+++ b/src/utils/tutorial/Support vector machine/SupportVectorMachine.ipynb
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"### Visualising the decision boundry over iterations"
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MnTo1W/T9nDlzOHr0KH5+fnh7e7Nw4UIAPvzwQ7Zt24avry9r1qyhdu3a2NnZ0bdvX9LT0/Hy8mLatGm0bds241wvvvgifn5+GcF4Wenduze7d++mZ8+emJurNUjGjh2Lt7c3LVq0wNfXl5deeqlYEe9PP/00UVFRGa56I7m12n3//fdJS0vDz88PHx8f3n///TzP27p1ayZOnIiXlxdubm4MGjQo2/78xiIv8hrvskY2tTEBYQlhNJzdEK2iZXrX6bzS5hV0Wp2pxZJIJKVMZW1qk5KSglarxczMjAMHDjBu3Lhysz6Lytq1a1m/fj0///xzxrauXbsyc+ZMWrV6oL9Lodi1axczZ85k48aNpSVmqVOUpjZysdgE1LCpwcmXTjJpyySmbpvK4hOLmddvHt3cuplaNIlEIuHGjRsMHToUg8GAubl5tiC3isQrr7zC5s2b2bRpk6lFqdBIi96ECCH4K+gvJm2ZxJ34O1yffJ2aNjVNLZZEIiklKqtFL6n4yDa1lQRFURjgMYDz48+z6alN1LSpiRCC38/9Tqo+1dTiSSQSiaQKYHJFryjKEkVR7imKcjaP/YqiKHMURbmsKMppRVFalLeMZY2VzirDbX8o9BDD1g7Df6E/O67uMLFkEolEIqnsmFzRA8uAvvns7wc0vf96EVhQDjKZjLaubdk4YiOp+lR6/dyLIWuGcDPmpqnFkkgkEkklxeSKXgixB4jM5yP/B6y4X+HvIOCoKEqd8pHONDzm/hjnxp/j464fszFoI12WdUFv0JtaLIlEIpFUQkyu6AuBC5DVpA25vy0biqK8qCjKUUVRjoaFVf7ucZZmlrzf5X0uTLjAogGL0Gq0pBvS2RW8y9SiSSSSSoRWq81o7jJkyBASExOLdPytW7cySr+ePHkyW4T7hg0bmDFjRollzK31bNeuXTFVUPWuXbsySthWBSqDoi8UQogfhRCthBCtatSoYWpxSo2Gjg3p7tYdgOUnl9NteTcGrx7M9ejrJpZMIpFUBoy14s+ePYu5uXmRi7TUrVs3ox59TkU/YMAApk2bVqrylhdVsR1tXlQGRR8K1Mvy3vX+toeOZ/ye4fPun7P1yla85nvx6Z5PSU7Pv860RCKRGOnUqROXL18mMjKSgQMH4ufnR9u2bTl9+jQAu3fvJiAggICAAJo3b05cXBzBwcH4+vqSmprKBx98wOrVqwkICGD16tUZlnhMTAwNGjTIaOWakJBAvXr1SEtL48qVK/Tt25eWLVvSqVMnLl68WCSZlyxZwuTJkzPe//TTT0yZMoXg4GA8PT15+umn8fLy4sknn8zwVhw7dowuXbrQsmVL+vTpw+3bahXSrl27MnnyZFq1asXs2bMZPXo0L7/8Mq1atcLd3T3XAjmHDx+mXbt2NG/enPbt2xMYGAioXojBgwfTt29fmjZtyptvvplxzLZt22jXrh0tWrRgyJAhxMfHF+meS53cWtqV9wtoCJzNY99jwGZAAdoChws6nynb1JYH16Oviyd/f1IwHfF/q/7P1OJIJJI8qChtaoUQIi0tTQwYMEB8//33YuLEiWL69OlCCCH++ecf4e/vL4QQon///mLfPrW1dlxcnEhLSxPXrl3LaPO6dOnSjBaxOd8PGDBA/Pvvv0IIIX777Tfx/PPPCyGE6N69uwgKChJCCHHw4EHRrVu3B2RcunSpcHZ2ztaO1sbGRhw5ckTExcWJRo0aidTUVCGEEO3atROnT58W165dE0CGvGPGjBFff/21SE1NFe3atRP37t3LkGXMmDFCCLV97bhx4zKuO2rUKNGnTx+h1+tFUFCQcHFxEUlJSWLnzp3iscceE0IIERMTI9LS0oQQQmzfvl0MHjw4Q2Y3NzcRHR0tkpKSRP369cWNGzdEWFiY6NSpk4iPjxdCCDFjxgzx0UcfFfm5FUSlalOrKMoqoCvgrChKCPAhoAMQQiwENgGPApeBRGBM7md6eKjvUJ81Q9aw4+oObM3V9oYxyTFEJEXQqFojE0snkUjyouuyrg9sG+ozlPGtx5OYlsijvzzYpnZ0wGhGB4wmPDGcJ3/P3iZ11+hdBV4zKSmJgIAAQLXon3/+eR555BH++OMPALp3705ERASxsbF06NCB1157jaeffprBgwfj6upa6HsbNmwYq1evplu3bvz222+MHz+e+Ph4/vvvP4YMGZLxuZSUlDyPnzdvXsb7rvdb+tra2tK9e3c2btyIl5cXaWlpNGvWjODgYOrVq0eHDh0AeOaZZ5gzZw59+/bl7Nmz9OrVCwC9Xk+dOnWyXScrQ4cORaPR0LRpUxo1avSAxyEmJoZRo0Zx6dIlFEXJ1rinR48eODg4AODt7c3169eJjo7m/PnzGXKlpqbSrl27Qo9jWWByRS+EGFHAfgFMKCdxKhU9G/XM+P3TPZ8y9/BcpnWcxlsd3sJKZ5XPkRKJ5GEhZz/3/Jg2bRqPPfYYmzZtokOHDmzdurXQLVUHDBjAO++8Q2RkJMeOHaN79+4kJCTg6OhY4jr5Y8eO5fPPP8fT0zNbl7q8WtH6+Phw4MCBXM9V1Ha077//Pt26dWPdunUEBwdnTEAALCwsMn43tqMVQtCrVy9WrVpVpHssS0yu6CWlw+S2kwmJC+Gj3R+x4tQKZvedzeMej5taLIlEkoX8LHBrnXW++52tnQtlwReGTp068csvv/D++++za9cunJ2dsbe358qVKzRr1oxmzZpx5MgRLl68mOENALCzsyMuLi7Xc9ra2tK6dWsmTZpE//790Wq12Nvb4+bmxpo1axgyZAhCCE6fPo2/v3+R5H3kkUe4efMmx48fz4gnALUm/4EDB2jXrh2//vorHTt2xMPDg7CwsIztaWlpBAUF4ePjk+u516xZw6hRo7h27RpXr17Fw8MjW8vZmJgYXFzURK9ly5YVKGvbtm2ZMGECly9fpkmTJiQkJBAaGoq7u3uR7rk0qQzBeJJC4GLvwqonVvHvyH+x0lkx4LcBfLz7Y1OLJZFIKiDTp0/n2LFj+Pn5MW3aNJYvXw7Ad999h6+vL35+fuh0Ovr165ftuG7dunH+/PmMYLycDBs2jJUrV2Zzj//yyy8sXrwYf39/fHx8WL9+fbFkHjp0KB06dKBatWoZ2zw8PJg/fz5eXl5ERUUxbtw4zM3NWbt2LW+99Rb+/v4EBATw33//5Xne+vXr06ZNG/r168fChQsf8GC8+eabvP322zRv3rxQkfo1atRg2bJljBgxAj8/P9q1a1fkAMTSRja1qYKk6dOYe3guj7s/TtPqTbmXcA9bc1usddamFk0ieaiQTW1Kj/79+zNlyhR69OgBQHBwMP379+fs2VyrpxeK0aNH079//4w6AZUJ2dTmIUen1fFau9doWr0pAC/+9SJe873488KfVMWJnUQiqbpER0fj7u6OlZVVhpKXFA1p0T8E7Lm+h4mbJnLm3hl6N+7N3H5zca9uuvUiieRhQVr0krJCWvSSbHRu0JnjLx3nuz7fcTDkIL7f+7L+YvHWySQSiURSuZCK/iHBTGPGpLaTCJwYyNgWY+nUoBMAEYkR0p0vkUgkVRip6B8yatvW5vvHvsfJygm9QU/Pn3vS6+deXAi7YGrRJBKJRFIGSEX/kDO2+ViO3T6G30I/3tj2BnEpuefISiQSiaRyIhX9Q4xWo2VCmwkETgxkpN9IZh6Yied8T2ndSyRViDt37jB8+HAaN25My5YtefTRRwkKCspoVlOWBAQEMHz48DK9hqRgpKKXUNOmJov/bzEHnz9IlwZdaOLUBICktCQTSyaRPDwYDLB5MwwflUrHnikMH5XK5s3q9uIihGDQoEF07dqVK1eucOzYMb744gvu3r1beoLnwYULF9Dr9ezdu5eEhIQyv54kb6Sil2TwiOsj/PrEr+i0OuJS4vCc78mULVOISY4xtWgSSZXGYICpb6Uz9YtIrtsHYtnpNNftA5n6RSSvT0svtrLfuXMnOp2Ol19+OWObv78/nTp1yva54OBgOnXqRIsWLWjRokVGJbnbt2/TuXNnAgIC8PX1Ze/evej1ekaPHo2vry/NmjVj1qxZuV571apVPPvss/Tu3bvY1fAkpYOsdS/JFb3Q07dxX2Yfms2qs6uY2XsmTzd7+oGGDxKJpORs3QpbD8XiNugCGjM1C8bKKQWnRrFsWedF721O9O1b9POePXuWli1bFvi5mjVrsn37diwtLbl06RIjRozg6NGj/Prrr/Tp04d3330XvV5PYmIiJ0+eJDQ0NKMiXXR0dK7nXL16Ndu3b+fixYvMnTuXp556qug3ICkVpEUvyRVHS0d+ePwHDo09RH2H+jy77lk6L+ssrXuJpAxY/lsqDv6hGUreiMZM4OAfyvJVqWV6/bS0NF544QWaNWvGkCFDOH/+PACtW7dm6dKlTJ8+nTNnzmBnZ0ejRo24evUqr7zyClu2bMHe3v6B8x09ehRnZ2fq169Pjx49OHHiBJGRkWV6D5K8kYpeki+tXVpzcOxBfnr8J+rZ18PeQv2j1hv0JpZMIqk6hIQKbJyTc91n45zMzdDi1brw8fHh2LFjBX5u1qxZ1KpVi1OnTnH06FFSU9WJRefOndmzZw8uLi6MHj2aFStWUK1aNU6dOkXXrl1ZuHAhY8eOfeB8q1at4uLFizRs2JDGjRsTGxvLH3/8Uax7kJQcqeglBaJRNIxtMZZfn/gVRVG4EXODpnObsuzkMgyiBJFCEokEAFcXhYTw3Pu+J4RbUs+leEtm3bt3JyUlhR9//DFj2+nTp9m7d2+2z8XExFCnTh00Gg0///wzer06kb9+/Tq1atXihRdeYOzYsRw/fpzw8HAMBgNPPPEEn376KcePH892LoPBwO+//86ZM2cIDg4mODiY9evXV6j+7A8bUtFLikxSWhK1bGsxZv0YOi7pyInbJ0wtkkRSqRk13JyYUy4Y0rMrdEO6QswpF0aNMC/WeRVFYd26dezYsYPGjRvj4+PD22+/Te3atbN9bvz48Sxfvhx/f38uXryIjY0NALt27cLf35/mzZuzevVqJk2aRGhoKF27diUgIIBnnnmGL774Itu59u7di4uLC3Xr1s3Y1rlzZ86fP8/t27eLdR+SkiGb2kiKhUEYWH5yOW/teIuIpAjGtxrPnH5zZLCeRJKFwja1MUbdbz0Ui4N/KDbOySSEWxJzyoW+be2ZOcMMjTTLJFkoSlMbGXUvKRYaRcOY5mMY5DWID3Z+QLohPUPJCyGkwpdIioBGA998aUafbU4sX2XLzQuChi4Ko94xp3dvpJKXlAip6CUlwtHSkTn95mQ0xjkUcogpW6cwp98cWtV9YGIpkUjyQKOBvn2hb9/iueklkryQ80RJqWC04COTIrkadZU2P7Xh5Y0vE5EYYWLJJBKJ5OFGKnpJqdKvaT8CJwYy6ZFJLDq+CPd57iw7uczUYkkkEslDi1T0klLHwdKBWX1ncfLlk/jW9OV2nIy0lUgkElMh1+glZYZvTV92jdqFXqg5uWvOrWHrla180eMLatjUMLF0EolE8nAgLXpJmaIoCmYadT55Lfoay08tx2OeB98f+V5W15NIygFTtKmdPn06Li4uBAQE4Onpybhx4zCUpA2fpERIRS8pN97s8CanXj5FQO0AJmyaQOufWnMo5JCpxZJIKhZxcTD+ZfVnCTFlm9opU6Zw8uRJzp8/z5kzZ9i9e3eZX1OSO1LRS8oV7xre/DPyH3574jfuJdzjWvQ1U4skkVQsVq6Af9bBLytLfCpTtqk1kpqaSnJyMtWqVSvx/UiKh1yjl5Q7iqIwzHcY/d37Y62zBmD+4fnohZ7xrcdnuPolkoeOuDhYthD+rw4sWwBPPwN2dsU+nSnb1M6aNYuVK1dy/fp1+vXrR0BAQLHvQ1IypEUvMRk25jYZ+ff/Bv/LpC2TaPljS/Ze31vAkRJJFWXlCnBJh8YOUCetVKz6wlDabWoh03V/7949EhIS+O2338rlXiQPIhW9pEKwdsha/hj6B1FJUXRe1pln1z0r0/IkDxdGa771fcXZxl616kuwVm+qNrVZ0el09O3blz179hT7PiQlQyp6SYVAURQGew3mwoQLvNvpXdaeX8v1mOumFksiKT+M1rzT/Xa1TpYltupN0aY2J0II9u/fT+PGjYt9H5KSIRW9pEJhY27Dp90/5cbkG7R1bQvAjH0z2BW8y7SCSSRlSU5r3kgJrXpTtKk1MmvWrIwgPr1ez/jx44t1D5KSI9vUSio0iWmJNFvQjKtRVxnuO5yZvWbiYu9iarEkkkJR2Da1LJgP62dBN+cH9/0bDoOmwsvjSl9ASaWlKG1qpUUvqdBY66w5O+4sH3T+gHUX1uE535Ov939Nqj7V1KJJJKXH1cuQ6gxbefCV5gxXgkwqnqRyI/OYJBUeK50VH3X7iJH+I5m8dTIf7PqAoT5DaeDYwNSiSSSlw9f556JLJCVBWvSSSkNjp8b8NeIvzo47SwPHBggh+GLvF9yMuWlq0SQSiaTCIhW9pNLR2EmN3r0UeYmP93yM53xPZuybId35kgpJVYyDkpiWon6npKKXVFrcq7tzfvx5ejfuzdv/vE2zBc3YdmWbqcWSSDKwtLQkIiJCKntJqSGEICIiAktLy0IfI6PuJVWCLZe38MrmV4hPjefqq1ex0lmZWiSJhLS0NEJCQkhOTja1KJIqhKWlJa6uruh0umzb84q6l8F4kipB3yZ9OTvuLEERQVjprEjTp/HjsR8Z22IsFmYWphZP8pCi0+lwc3MztRiShxzpupdUGSzMLGhWqxkAmy5tYuLmifgu8GXTpU0mlkwikUhMh1T0kirJ/3n+H9ue2YZW0fLYr4/xf7/9H9eiZEtciUTy8CEVvaTK0qtxL06PO82XPb/kn6v/8NSfT5laJIlEIil35Bq9pEpjrjXnzQ5v8lSzp4hOjgYgKimK/Tf309+9v2mFk0gkknJAWvSShwJXe1d8a/oCMO/wPB5f9Tj9f+3PlcgrJpZMIpFIyhap6CUPHdM6TmNmr5nsvr4bn+99+GDnBySmJZpaLIlEIikTpKKXPHTotDqmtp9K4MRAnvB+gk/2fMKkzZNMLZZEIpGUCXKNXvLQUteuLr8M/oUXW7xIPYd6AARHB5OqT8W9uruJpZNIJJLSQVr0koeeLg270KhaIwDe2vEWzRY0451/3iEhNcHEkkkkEknJkYpeIsnC7L6zGeYzjC/2fYHXfC/Wnl8r65RLJJJKjVT0BWAwGJg8eTIXL140tSiScqC2bW1WDFrB3jF7cbJyYsiaIcw/Mt/UYkkkEkmxkYq+AAIDA1m+fDnNmjXjzTffJC4uztQiScqBjvU7cvTFoyx4bAHP+D0DwKWIS8SlyOcvkUgqF1LRF4CXlxeBgYGMHDmSr7/+Gk9PT3777Tfpzn0IMNOY8XKrl3G0dMQgDDy55kk853vy21n5/CUSSeVBKvpCULNmTRYvXsyBAweoXbs2I0aMoEePHpw7d87UoknKCY2iYeFjC6ltW5sRf4ygx4oenLsnn79EIqn4SEVfBNq2bcvhw4dZsGABJ0+eJCAggKlTpxIbG2tq0STlQLt67Tg89jDfP/o9J++cJOCHAPZc32NqsSQSiSRfpKIvIlqtlpdffpmgoCDGjBnDrFmz8PT05JdffpHu3IcArUbLuNbjCHoliLc7vk0713aAmn8vn79EIqmISEVfTJydnfnxxx85dOgQrq6uPPPMM3Tt2pUzZ86YWjRJOeBs7czH3T5Gp9URmxJL20Vt6bq8K2fuyucvkUgqFlLRl5DWrVtz8OBBfvrpJ86dO0fz5s2ZPHkyMTExphZNUk7YmtvySbdPOHfvHM1/aM7kLZOJSZbPXyKRVAykoi8FNBoNY8eOJSgoiBdffJE5c+bg7u7O8uXLMRgMphZPUsZoFA0vtHyBoFeCeKHFC8w5NAePeR6ExoaaWjSJRCKRir40cXJy4vvvv+fo0aM0atSI0aNH06lTJ06ePGlq0STlgJOVEwv6L+Doi0cZHTCaunZ1AYhIjDCxZBKJ5GFGKvoyoEWLFuzfv58lS5Zw6dIlWrZsycSJE4mKijK1aJJyoEWdFszoOQNFUbgWdY0G3zVg4qaJRCXJ5y+RSMofqejLCI1Gw5gxYwgMDGT8+PEsWLAADw8PlixZIt35DxHVrKoxJmAMC44uwGOeB0tOLMEg5POXSCTlh1T0ZUy1atWYO3cux48fx8PDg+eff5727dtz7NgxU4smKQccLR2Z++hcjr14DPfq7jy/4Xk6Le1Emj7N1KJJJJKHBKnoywl/f3/27NnDihUrCA4OpnXr1owbN47IyEhTiyYpBwJqB7B3zF6WD1xOD7ce6LQ6ABLTEk0smUQiqepIRV+OKIrCs88+S2BgIJMmTeKnn37C3d2dH3/8Eb1eb2rxJGWMoiiM9B/Jx90+BuC/m//R4LsG/HjsR/QG+fwlEknZIBW9CXBwcGDWrFmcOHECHx8fXnrppYzyupKHB0dLR7xrePPSxpdou7gth0Pl85dIJKWPVPQmpFmzZuzatYtffvmF0NBQ2rZtywsvvEB4eLipRZOUA941vNk1ahe/DP6F0NhQ2i5qy5QtU0wtlkQiqWJIRW9iFEXhqaee4uLFi7z22mssW7YMd3d3FixYIN35DwGKovBUs6e4OPEiU9tNpYFjAwCEENKdL5FISgWp6CsI9vb2zJw5k1OnThEQEMD48eNp06YNBw4cMLVoknLA3sKer3t/zeS2kwFYdXYVbRa14cBN+fwlEknJkIq+guHt7c0///zD6tWruXv3Lu3bt+e5557j3r17phZNUo7YmttyJ/4O7Ze057n1z3EvQT5/iURSPKSir4AoisLQoUO5ePEib731FitXrsTd3Z25c+eSnp5uavEk5cAAjwEETgzkzfZv8vPpn3Gf687Pp342tVgSiaQSIhV9BcbW1pYZM2Zw+vRp2rRpw6uvvkqrVq3Yt2+fqUWTlAO25rZ82etLzow7Q2uX1ljrrAFk33uJRFIkpKKvBHh6erJ161bWrl1LZGQknTp1YuTIkdy5c8fUoknKAU9nT7Y9s43BXoMB+GLfF4xcN5I78fL5SySSgpGKvpKgKApPPPEEFy5c4J133mH16tV4eHjw3XffSXf+Q4CiKCiKAoBBGFh9bjUe8zz47uB3pBvk85dIJHkjFX0lw8bGhs8++4yzZ8/Svn17pkyZQvPmzdm9e7epRZOUE+91fo+z487Svl57pmydQvMfmnMk9IjpBIqLg/Evqz8lEkmFQyr6SkrTpk3ZtGkT//vf/4iLi6Nr1648/fTT3Lp1y9SiScqBptWbsumpTawbto6E1IQMa98krFwB/6yDX1aaTgaJRJInSlUM7GnVqpU4evSoqcUoNxITE/nyyy/58ssv0el0TJ8+nVdffRWdTmdq0STlQLohHTONGQBTtkzBxd6FSY9MymicU6bExUHP9tBFC3sMsH0/2NmV/XUlEskDKIpyTAjRKud2adFXAaytrfnoo484d+4cXbt25fXXX8ff359///3X1KJJygGjkk83pHMl6gpvbH8D/4X+/HutHJ7/yhXgkg6NHaBOmrTqJZIKiFT0VYjGjRvz119/8ddff5GSkkKPHj0YNmwYISEhphZNUg6YaczYMGIDf434ixR9Cj1W9GDY2mHcjrtdNheMi4NlC6G1vfq+jT0sWyDX6iWSCoZU9FWQ/v37c+7cOT766CM2bNiAp6cnX375JampqaYWTVIO9Hfvz7nx5/io60f8c/WfsovKN1rzTpbqeydLadXnhgxWlJgYqeirKJaWlnzwwQecP3+enj17Mm3aNPz8/Ni+fbupRZOUA5ZmlnzQ5QNuTLlBPYd6CCF46a+X2H6llJ5/TmveiLTqH0QGK0pMjFT0VRw3Nzf+97//sWnTJvR6Pb179+bJJ5/kxo0bphZNUg4Yq+ndS7jHv8H/0ntlb578/UluxJTw+a9cAdWSQKNAdErmS6OAQ2LVUmolsciNE6L/qyMnQBKTIRX9Q0K/fv04e/Ysn332GZs2bcLT05PPPvuMlJQUU4smKQdq2dbizLgzfNrtUzZd2oTnPE8+2/MZKenFfP5XL0OqM2zlwVeaM1wJKjXZTU5JLHIZrCipAMj0uoeQGzdu8Nprr/HHH3/QpEkT5syZQ79+/UwtlqScuB59nde2vcahkENcnHgRW3NbU4tUcSlJ+qDx2IHWavxCZDKsTyrcOeLi4K034MuvZbqipNDI9DpJBvXr12ft2rVs3boVrVbLo48+ysCBAwkODja1aJJyoIFjA/4Y+gcnXz6JrbktqfpUJm6aSHB0sKlFq3jkZ5EX5NIvSbCiXNeXlCJS0T/E9O7dm9OnTzNjxgx27NiBl5cXH3/8McnJyaYWTVIOOFs7A3D89nGWnlyK13wvPt79Mcnp5fj8yzMivajXKih9MD9lXJJgRbmuLyllpKJ/yDE3N+ett97i4sWLDBgwgA8//BAfHx/++usvU4tWtalAKVdtXdtycfRRBsTX5cNdH+LzvQ8bgzZm/1BZyVuelmtRr5WfRV6QMi5JsGJVXNevQN/3hxGTK3pFUfoqihKoKMplRVGm5bJ/tKIoYYqinLz/GmsKOas6rq6urF69mh07dmBhYcGAAQPo378/V65cMbVoVZMK5pqtt/5fVv8Zzw7HV7HQWvDhrg8xCEPmB8pC3uJarsVRGlmvtWQejH2ucFZ1Xhb5op/yV8bFDVasqkWIKtj3/WHDpIpeURQtMB/oB3gDIxRF8c7lo6uFEAH3X4vKVciHjB49enDq1ClmzpzJ7t278fHx4YMPPiAxMdHUolUdKpprNos8PVbt5OTTe1k/fD0aRUNkUiSfbn+fxBXfl768xbVci6M0sl7LLgr+XlOwVZ2XRW4TDwu+yV8Zfz0L/j2Y9+vrWfnLWZWKEFW07/tDiKkt+jbAZSHEVSFEKvAb8H8mlumhR6fTMXXqVAIDA3niiSf45JNP8Pb25n//+x9VMUuj3CmugstpyZaWOzSHPOa//Y6rvSsA/7v4P97/71O8uwfxP5c0RJ3U0lE6xbVcc1MaBY1D1mulpYFrHFjoYfG8vI/JzyIPNUDt1NJXxlW1CFFVXIqoZJha0bsAN7O8D7m/LSdPKIpyWlGUtYqi1MvtRIqivKgoylFFUY6GhYWVhawPHXXr1uWXX35h165d2NnZMWjQIB599FEuXbpkatEqLyVxzea0ZEvDHVqAPM81GcLOgw2xtdAxKPo8jza/w6Xfvyu9yUVRlWVuSqOgcch6rZCbUA1oqEB6RN7H5GWRr98ODnbQr1H2zxvH7dat4k++qmIRoqq6FFHJMLWiLwx/AQ2FEH7AdmB5bh8SQvwohGglhGhVo0aNchWwqtOlSxeOHz/OrFmz+O+///D19eXdd98lISHB1KJVPoqr4HJasrduFewOLYzFX5A8K1fQ1cqSEzVb8q1dI/YTz3t+t0t3cmGkICWQm9JYPA+W5LOskNOaj40GWw34aSE2Ln+rPjcKUsZvvPbgpKOwnperlyGxGsy/Bn/rK1cRorzusSouRVRCTK3oQ4GsFrrr/W0ZCCEihBDG8l2LgJblJJskCzqdjsmTJxMYGMiwYcP4/PPP8fLyYu3atdKdX1hK4prNacm+8VrB7tBFP8H6n2FJHmEtBcljnEy0tkenaJhi40qQc2tm1WwMyxYQdOM4a88X4/kX13LNTWmkR4B9VN7jkPVaF4IhTUCSUP/z1RD5W/W5kZ9LP7ka7Nnx4KSjsJ6Xr2fBiNFgBTz1nOo98AxQf+a3rl8RyO0eq+pSRCXE1Ir+CNBUURQ3RVHMgeHAhqwfUBSlTpa3A4AL5SifJAe1a9dmxYoV7N27l2rVqjFkyBB69+7NxYsXTS1axae4Ci7nP0x/G9i2Hlrer5iW2z/OuDj4/htop8D8b3L/p1oY6zTH/tpxgrpaC3BIZM5vrzFkzRB6r+zNxfAiPP/iRKTnpjSS01Wr3C0ZDIbcx8F4rY2p8Mtd2JkKf6fA5mQITwd7iqZ08guyGz4aWtfIPukoSiBazs8u+qlyRKrndY9VcSmikmJSRS+ESAcmov6JXwB+F0KcUxTlY0VRBtz/2KuKopxTFOUU8Cow2jTSSrLSsWNHjh07xty5czly5Ah+fn689dZbxMfHm1q0iktxU65yWrKXYqCpBsT9sc7NHbroJ6gWA15WYBsJj/V5UMkURp589n8X5s+cvnM4EnoEvwV+vLX9LeJTC/H8ixORblQaaQZYfhHuJsLuUKivAUcFIiJyHwfjtWo3BEsF+tvB/9nDQAfobQuP2JWO0slrLXrRj4UPRMvqtXFOViP7K3qkelwcPP4o1Ex58B6rQj+EKpL/L2vdS0rMvXv3mDZtGkuXLsXFxYVvvvmGoUOHoiiKqUUrOhWtxnjOeunJ6TD/FPS3BKGAuydoNNnrqAO08IQeiVDPArbGwsU0ePcrmDSlZLLkHJu4OO6+PYFpXQ0sO/cL73d+n4+7fVy61wB4YwocOwC37kD0bbCvDTHh8H9WYKcFaxtwrZd7Pfm4OGhYG7TJoDOHaubq9lQ93E4Bv2bQvkvJXOML5sP2edCnpvo+OR3mnAO9JbzUoOBa9zmf8+brcCscxjSHbeHQ51V4eVzx5SsrZn0LM6ZBexfoW79o9fwrAwvmw3cfw5TpFXP8cyBr3UvKjJo1a7JkyRL+++8/atasyfDhw+nRowfnzp0ztWhFp6IV9sjp/twdCtUBBUhKh2t3HnSHGq35OuaQYoCQNOhqDvO+LpllktvYrFxBre1bWRregf+e+4/X278OwNFbRzkfdr50rgGqEjZGvI/0AtKhWS1o3AScG0BMGkQm5e4WnjcXNCnwuD1YamCoOzzrBb7OYAM09MhbyRfGosttWeHwPUhJgJgIVabfLoG1Wd5WfVavTXI6nA+HFjrVU2HKNe387t+4PNTTCs6FqXJXpWC7KpT/LxW9pNRo164dR44c4fvvv+fkyZMEBAQwdepUYmNjTS1a4aiIf9g53Z8nU+C6AqtSYEM6rIvP7g69eFb959tCB2YKnEqGBmbQ1EwNWssrMK8g8spfz7KtnaMv9haqspuydQr+C/15fdvrxKUUoeJdQWVlja7t2qkQItT7/iUMfr0Lv4Tn7hZeuQxcNWCjgLMGfg1Xo9r3h0E3O9i/I//GNAVN/HJOxu4mwsFb0N0cdAZYcxmuRsKRe3nHU2SdKBy+B/U06kQtIgwczU2nPFeugB1/qu75nGNknFC6W6ryHrmnbq8qwXZVKP9fKnpJqaLVahk3bhxBQUGMHj2aWbNm4enpyS+//FLxo/Mr4h92zvXsq7fhVlzm69Lt7PsbNAbrKLDRQlganEoCP52qhPw1xbfq88pfz2O8/hz6J6P8R/HNgW/wmOfBr2d+Lfj5F9QpLqsy7NcIHO1g5Z9gYwvPeYOt7YMR6rduwb2b0MkWtFoY4KUeN2g4dKgPXZtBc+f8G9MUNPHLORn7NQyqCbDTQD0zuBQNPa3hwC01xiCnxyHrRME4SfC/v7ygNZjOqjfef1drOHMIFi/Kvu/7byDATH3vb67e393EqhFsV8Xy/6Wil5QJzs7O/PTTTxw8eBAXFxeeeeYZunbtypkzZ0wtWu5UlT/sLRshXMCmFPg9QbVgBRBjACsNVI/P/Adc2ECj3MZmyTxYPD/P8aphU4NFAxZxaOwhXOxdePrPp1lzfk3e17h1C774IO9MgrzysQtKM3x9ihq4WMscdEINYKydAnOzlLBtZQefv6fKkJVFP4H5bXCzy3/il3UyZlxeaO8MltbQzArMhTr2Rm9CTo9D1onCr2Fgr0ACcEsPcQqEx5tGea5cAXVSwSYBfMxhzszsz6NOKthZQCygaDPvrzIF2+VFFcv/l4peUqa0adOGgwcP8uOPP3Lu3DmaN2/O5MmTiYmJMbVo2akqf9h+/uDhDzU8Qa+FFnags1JfltbQxjFTgRrd0ksW5V9aN7exsYsCQ6TqVr5xI7t7OcvxbVzacPD5g6x6YhWDvQYDcDDkIDHJOZ7/61OgZmLumQR55WO3slPTDEPD7rvMI7IXwLl1C7ZvgLZWaqzC7kS4fReapENypLpmDmCIBac4mPxq5rmNFmvj1KJZ1Max8nGDJu5gp4C7GdzUwUBv1Zuwfnv2mICsE4XHB0E1X7jUJPN1um75K0/jmDc1qBOkR6wgOUK16o37+jVSg0GNr6z3V9Hz/vOjCub/S0UvKXO0Wi0vvPACgYGBvPDCC8yZMwd3d3eWL1+OwWAo+ARlTVX6wzYqjUHDwcoMXN2gZpaXS13VMly8KNMtPX8mbP8j99K6WcfGYFCVelqamrseEwe37kFsVHZlmCP/W6vRMtx3OGYaM5LTkxn420A85nnw86mfVXe+USG3t1LXpI3fCaPnoF9vcEh4MB87JgrqGOBKDPx5FUJjsxfAeX0K1FfAIGBFFISmwtkkiAiH+lp1TdlggLt31eWNHRsyrXrj+nM9iwfXyfPyhOT8HoWHgZkeWlvAyXA1ELCgyWNxm+GUNkaLPT1aXQZy1IK7TrXqF/1UtfPjq2D+v1T0knKjevXqLFiwgCNHjuDm5sbo0aPp1KkTJ0+eNK1glfkPOy+ls/lvSE7OdKXmrOD23Uz1H7mbHThEQyOL3EvrZv2nfu0O3IpQK8yZCagB7LoJWg1cvwOIzM5ueaxrW5pZsvGpjTS0q8fI/42k06L2nHp3jKqQrbSQos+eSaALh9PH4VaOe9ikh+WhEKoHFy1cioTe1pllbW/dgr3/QIJWXcKI1kMbczidAn/FQ7QGQuPVmIf4VHDQQB0BE8dnWvMtdGCpVS3afCYyGWT9HkUmqefWC9ACtTWwK7hiTh5zfodyWvNm99NkW1uqVv3f6yt/fnx+VIX8/xyYmVoAycNHy5Yt+e+//1i2bBlvvfUWLVu2ZNy4cXzyySdUq1at/AXK+of9ABX8DzvD+vbPzPONi4OYMDUNbY9BdaVmzWme9Q18Og2aWqsKrKU5/BsN7tZZ1ryd4NI92Pq3Ojab9HDxlrp+HBEOFhaQrofkVIgwg7h0cAiH9Pud3Ro7qMcvWQSBgdny4lvVbcV/+pEsPRjItHZnaFE/gTPnrPH+OxXS9HAvGHztQKOFy/Hg4wDCNvt9LJgP86dDDS3YApZCbVZTXwP37qn34eMI7avBvNPgaw4uZqryuqQHsxpgqA5LToO5Huw1ahzDP5th/tz7AY3WEKsHPepEppFt5kRm4P2JzNPPZMqU9Xt05x6EJ6jnVVDjJFKjoI0L6G+q45K1pkFh6jeUVY2HnN+hlStUD0p0tCp/rF79nAbVE3L1Mpy6WDXy5HOjsi455IO06CUmQaPR8NxzzxEUFMS4ceNYsGABHh4eLFmypPzd+RXFXVpU8is9ml/0+txvwNcC0qMg/J6axlVPA0rKg6V1o8NUBTt8tBql/npL6NIYpn0Mdk5QTQctasH4ZmBlBXY2mZ3d2tg/uCxwXwbN8h95vlkjAn+3Y/7NGng/3wpe8OWEExjMBdT3UK/ZxgUszdRKcVnPcfE8hCVCA3M4nay6x+PToYk5hCdC0AVV6a68C0IPLcxVs8bHEszNoUc/GDgcLBR4phoMsYbhNmCeDssWQySwNQ3+TlV/bklW0/dCs0xk8qrC9+9BqNcILMzB0gosrNSf4Rr4MRiuJcDmjdmfZWHT+Eq7xkNu36Grl+GWgE1JalDnhuTMV4wGNAkV28sleQCp6CUmpVq1asybN49jx47RtGlTnn/+edq3b8+xY8dMLVrFJzeFXlD2wKIf1UC0Nlag0QPpqmu2hQWcuAuNlAcD4ozr+VnPOe9rSIyAfjZw+LYa2GZsMGMM2nM0z74skHMi4maHk1UsL0fZAHD98A3a9kqgw1MGjp/4E36cA9pUNQddl5b9HJ7e6sQjzQmaWEEda7A1hwa1oH19eP5ldYKSng6+VlDLGhytwFEHj9SF4ydh9tfgoQMboVrd1TRq4FzIdXjZF14JyHzlNZHJWlPA6P6Oi4OIO1DPFl7Icp7nvSExAUZ7qROonK7ygjoRlkWNh9y+Q1/Pgn4D1aDOOj4Pvup7Vmwvl+QBpKKXVAgCAgLYt28fy5cv59q1a7Ru3Zpx48YRGRlpatEqJnnWVv8p7+wBozXfwExVbKnpEJMO0emAgGqG+675HAFxc+6v52dV4HZRao35+ve9Af/dyd5gBjKXBa5FZ1rkWdPoIiKguQ5O34MbcdTbeZcf75pz1ULQamgq492vEnk5DPpaq5XXjOcw3rufDRy5rU5SQA0aiwhTo/GXLVAr4iVHQqv7cpsp6pqzazycPQRR4dDcHFLT1P16wMcMzAwQcu/BeI3Ee9knMlnHdtGPsHqFOilauQKSwyAkBnbfyjzH6XBorIBj2gOtgAus31CQl6Y49djzmxRWVi+XJFekopdUGBRFYeTIkQQGBvLqq6/y008/4e7uzk8//VQxovMrErmlvFVPghlZctGNZG2wYpEMcVrYkKB2cNuSDL/Fq68wA8QZspfWTTOolnvTLOMfHga+GkjSQ4JeLZayM0QNzjMT6rGRSeq6to1W3W60yCdNzEyjS0lW87CdNbA4GE0thVHVrQg8bM6r1zX86JmO94Ak4uuZqZMJ4zmMAYKnw9VywAYBkenqWnJSuhqNbxMPs79SJzUa1H2xejU4LiEW3LTqhCQsHa6nwZ+JcC0dkgXU1cKK0OxBWH/r1SUBnxxhTf428NG7MOtLsEiDj96Do4fVZYUONrD/nnqssRKfn7V637m0As72rPKrnJdbjYHiuPSrSkqppEBkUxtJheX06dNMnDiRvXv30rp1a+bNm0ebNm1MLZbpydkAxcgfFyA0Ch5tAM7O2Y/55x5cToYX6qnHhNxU3chxerUJiZUdpCZkft7GFuo1UJvIWIVDFyeoU1fdd+0q6BPhVBo4mKvK6/coSNKAuU491sISYu6Cg049xtUOzK1g5zVopIWOtuDrrTbkuZ0As0+pZWoHOUBcGqyL43Q92NdQw/gm1SBGz7V/EnBzrgM6N1XW4OuQHP/g+NjYgtYCEu6CbQ7FnJ6u1sU3vx8kF6uAtQL6dDAzU70cdgpEABevQ93797xgPqyfBd1yjOuhO7A/BOIFtLSACynQwA/qJ6sNbrbcUxvSCEP2pjeg7rP2h4QT4JMKrq7qeBiPMQZX5myYYzy2z6tqMGDP9tBJA7+HwMEzmTLnh/E7NMAKEsPUawOcD4ZD9vDPwYoXbFfRGk5VQGRTG0mlw8/Pj927d7Ny5Upu3rxJ27ZteeGFFwgPDze1aKYlt3TA2/FwOkKtirfkpholn9UivSVAk5h5jG1NNa++cRMIqAPTPsy9tK6xgIuxaMsmPaxLgL0KJFqC1kEtljK+uVogJvAWHA9Sle34Zpnr04Maqy5zxQARejiXpH52yXm17aytUFPgTierywf1tPgJLeP3AuEG9prpaTIomRfrhhHerGnu5YCzyv74IGiaY425pifEasBGA2Y6GFwPrFDz2x+3BwR4WcJoJ/DWwRtTM8c8t5Srv/Ww7x60Nwdz4EYq9LSEoFPgcX8C1sZeTfdb8v2DdRr8bdTgxybpmbUIjMfk7CeQV40HYxtcxzSokZBd5sJ8h2Ki1JTJa3fUV3yMmtJYEqu+rFq75uW5qCKtZMsSmV4nqdAoisLTTz/N448/zkcffcTs2bP5448/+Oyzz3jxxRfRarWlc6HKZC0Ylc4mPdy8CfXqwZVgdY3ZXAfVrGDEc9nbahrbvBY1hTDnWmxulm3OmgPCcH8iYqPuA9VNHhMP5oqaz747FU7cVD+rM4BWUVvv7koGb3t1OWBjMtQ2hyhH/L1rMjn8KrMb3WEtS/lsnwcvtn8VrSaP55/bGvKC+bD2MzBEwaUUuBwNLhqIMoCDGdQSoAi1pKufNWzbobrWP/34we+FsQ+7jz3UTVCD+GIM0NgMGmth+014wUf1nqRfBysD3I4F6qhWO6hLD66o6YoOWnWpQ2ur7s9vLEEdb/t4NebieVcIvwYdrOG39arMBVn1Vy9DUjVYfl6dWMXeAoSaThcXrzZHKi65pXyWlJzBiFnTGsvielUMadFLKgX29vZ88803nDp1Cn9/f8aPH0+bNm04cOBA6VygvNvTlsQKMQZKDR+tBpf1GwwpiTDAQV0TH97owXXe0gquCjwPQfHqJONvPcy/pv7MWkwkN+v3lzDYkgINdWoUvr+Vat1bKuBmBq5aqGUGdTWwOwHiDaoL/YYeQuOxj9XzjXkDTm1zxP+unvH/vEavn3sVvlFSXJxqVbskwbU06GEBFxLUdDtFCzbV4BEbuKOono4LZqBJg8mv5P69WPQjnD4I9RLUFD1PLSQJSBfQyhwuR2UqZgcgMCZ7h72tqJ0IQwT8lQg79JkpfAWNZVYvjUWyGu+gE2o9/8ZK4az6r2dlT5n0dQAXe/X3dvXB07dw45rbOJdXdgCok5qPP4B+NSteIaIKhFT0kkqFj48P//77L6tWreLOnTu0b9+e5557jnv37hX/pKZoT1vSiUVWmb/9EppooNH9CPjLMWUXVOXhDVo9KJYwaITq+n7quewThpyTivXb1TxyR53aFraahaoYhQFcFbhnUKPvE7TgbQsX9LBFgQgLsKwGSoMMV7nP1VT+Ta7BqpP1eNZ9CIqiIIQgIjEi9zEyTqZWrgDzcLieok4qXLVqJbzrKeCshwMhaj2BOgp8d0rtB5+UAFs2ZCqRW7fU8926pVrS7mbqkoMCOGuhoRbOpkEtLbhp4JsTaje37vVAp8Dgutk77J0KgkZNYWqLzBQ+4/712yEhCT74OPeJ2frt6vLIM03UTAOb+56Ndlawff2DDXpyG5uspY2NJY2T00tWva8sOkDmF4z4+hQgDsKTZSBhPkhFL6l0KIrC8OHDCQwM5M033+Tnn3/Gw8ODefPmkZ6eXvQTlnd72tKYWBhlrm4JqXHQ+n7QWwsLNa/d36b0Jy1GuRtZwLmD8P3Mwt2DMd2srgJ7EtTCNnq9agnbKNDITLXmtRpo7qUW5Jn+tbrefjVLG94Ro6FDfZR27gzHhjGn1NP/fPhHmnxZl3l7ZpJuSM9+XeNkKvA8BMWpJXAbaSFWqD/PpMC9NLWyH6jLCGmpqvJrrwNzA9xOzOyU98861cpPjgQvM3XxM/m+ZyLAHM6lQaJQf09Og5X31I50DXRQS5N7Wl1uUe8FTQSzrrGn6CHRoGYV6BR1OaAgqz7rtSMiwEmjTlSO3MteP6EoXqey6gCZ1zjNn6f2SHjUtuy+81UEqegllRZbW1u+/PJLzpw5Q6tWrXjllVdo1aoV+/fvL/xJTNGetrATi8I0T/nzaqZlmW4AWw24KGpgXmnX6V+5AmqmqHnxjczAIargFq6QWcUOoTaWOZQIV9KgiRau6yFAp67Ra/R5d4rLaYG6xqsNb+LiaL33Ci1D0nll5xu0+rEV+2/sf3Ay1aAR1LVV19AbmIOVAtW14KUFVx146lSX/sUU6Gah/mespYF6WjgXkRk491hN1cqvrwULjTphSBLqT8P9cx41qL+76eBeGFhbqp3dXOvlnVZnpJUdfPouLJqb/yQqY439Fvx7v4Kf8ZWohT078v4O5xxLo0fAOEk0WvVzZsKOPwv/HSqLdL38ghHL05NVyZGKXlLp8fT0ZNu2baxZs4bIyEg6duzIqFGjuHPnTsEHl3cucVEmFnlZdUaZrc3gerTaKzzGABHpaiBZUws1fzupWulVMDPKrU1V3dth6eCvVXPqc95DzgmKpzc0q6U2puljB0GpEJiu9mivcz/NLdGgprYZm+PYx6vBbrm1yo2IAOLUoj1LFuH1/Uq2b9Xw+65qRCSE03FpR96Z5K1OSho7qP3nZ38N92LURjVmQDpqTn1jM9XdvkMP2xS1dr6zRp3IBN+vEZCSDuejwE2Bfy6BvYBbBlifDNvS4X8p8Fs6/CHgljkEmcG/BrVxjkiGpNsPfr/eeC33RkoxUUAsWN7LfyJoXGNvXgfG+MCzXjDUHewt4SlP8HYo2BtgbFSUdL8GgUFAdaEW+THWT+hqXbiJb1l1gMyr4VR8Wvl5sqoAUtFLqgSKovDkk09y4cIF3n77bVatWoWHhwffffdd3u58U7SnLezEIi/3flaZD9+DxuZQ0xIsLSAJcG6QmTL31HOlV8HMaM2fDwcLoRaiqa2Fe3ezt3A1fjbrBOXqZQgxqArURlF/CiDCAHcNah7/+mT4O1ntLPdLuBpodv547q1yI8LU9X63ZJjzJSRGoDxmx5DARC5qJvK2eQ/anb0NZmmkCAPpTfUQGQ7OAqw1EGtQJxcKapS5ixb8nCE5TlUY1hroYAEX09SAwBoG2BOiNs4JT4NGOlUpmgHd68MbLaFxUzVdMPAWNKivlrs110AvK4hPgMTUzLFsYw97/lEnYlmD6zbpYWkoJAKN09V7zavMrnFcswbq/RoGV6PVjoX5dVnLety6eNiQDqtS1Nc1BXbeVXsE5LbckN/3oyw6QOYVjLjkOjQ1U59fuihbT1YVQBbMkVRJgoKCePXVV9m6dSu+vr7Mnz+fzp07Z/9QXkVQAP4Nh0FTSzddJ69CN5HJqrLbvj97dzZjkZSsBVSyyrzlOtzJUjAmNh2q1YGa9wurtGxXOoreKHedOIiKgJvJMNBK/ScbbYDqdcHMQb2HP7fAoD7QRat2ztt+fxnFeN+JYXAjAtYngFarFqrRmavFalJSwLEaONRQK+x106nnGDYatn6v3nNEBMRHgJ1WXVffnQh6BZ51hO0JcN1WNV/aJsIRPR8/78TapDvM+1NP59v378fGaN/c/9+XKNRGNzX10N4CHDVqa9ndyepnq2vUiHhzoJcl/JMC1RSw08FtBUZ5w/4o9ftiLIxjlQ7Bt+ARLRxOARsH6N5IXU/fcgOsbGDIG9m/Xwvmw0+fQLVEtXSwfU2oUUN9/l1fhHV/wq1AeO2jB7+XxmeUddyLkya6YD7M+gjSzTKLK+X2/cyJMX0zL0rruwjqvTZrBL2F+j3I2H6/+JOHNzzS8aEs05tXwRyZRy+pkri7u7N582bWr1/P5MmT6dKlC0899RRff/01dY05xuXdnjbD6sklJ9pohbw8LtOCHZjDvf/0M9llVhpAnSznrwP4tYRUfenWA1i5AuwS4EwYuAE1tao1HGdQ3d9Xb4O7vXoPOdvcGnPBjV4Mp3rqWnXMHTgdB0/WzFTmC7+EVt3g37/B2061knNrlVtNA2Z6SEpVLWyv+7XuW1vChQiwBNyrwZ0kAq6ms9hVQ5cn0nj6goavD2upo6ujNpVJTwUHRb2HpDTws8j8j6gX4KdTPQ2dzVXLNkWoa/YNtOoc4WYa1LBQLei6teDCWTi4R2308+tF6GqmLhE01cG6CIh3hYhItf2ro3X271dcHCyer0a+97BWJxgRYVC9emYToYh78KTrg3nkxmeUc9yLOkk1fu+6WsPGO2Dtpm53soQ6sfmfszyV6soV4OkAjXNM0GsCAeEw6DmZT58DqeglVRZFURg4cCC9e/dmxowZfPXVV2zYsIHp06fz6quvoivvGX9hJxa5uvdjMzuL5ceC+fDdx6VbPMToerdXIFKvWvHrkjP3Jwg4Eq4qpT07YHxjdbuxKhzA4BzLI00NcDgSXNzAOUzt8T6gNixfr6bsGZvjtLGH9WGqNblyRaaXw2CAP06As05VTKAWnWmiqC73FAP4mzNgfQw9R3rzBXf4yv02GzwEi/bHMVRjpS49dLWGVTFqHrpAvb8oAyiKek4bDfyZrP6ndNeB0KgTgL+SoZYOXGvAbTs13W3lCji3GVYGq5Mul/vPrzrgaQCXRpCeBgMc1cnNBx9njsfKFWCIhNqK6pFINKjW/7U7UK0aWESq8QM2CVDbIvuk8LXJcOIAPJHLxLAok72VK9TmRTYJ6r0euQed6pbsnGVBeU/QqwDSdS+pEBgMsHUrLP8tlZBQgauLwqjh5vTpk1lIrKRcuXKFSZMm8ffff+Pt7c28efPo1q1b0U5S1hX0iuLez+vY/Ny3xZW/MK7ZRk0erMm+MBCsBQxwy9xmMKj/rM+kQJO6amDVrXB43BX+vAY30uFZB3Cunem67vIirFqSOS4hd+Dnq2qtdoGaZqjXQ1QKrE5SW9O2sIF9iRDjDAgu1wnjtc7w0REdzfcnkT7MFjM7M9gZq0bcW1qpngora0gDGtaH2yEQHg1uBuhoAXqDeg8HU+CmAZrXBmt7dWnlShCs/xOiQtRSuq1ts4y7Xp0wdHSBfrWzL8cYn5tVGIQnZR6TblAnVY7V4W4oeFhAZ2sQ1WCvVebkZ8Y7UN0KXvLIPDZnvfyCMMrQORlEpJo1sD5JXZawuO8eL4vlLEmpImvdSyosBgNMfSudqV9Ect0+EMtOp7luH8jULyJ5fVo6pdW4rnHjxmzcuJENGzaQlJRE9+7dGT58OCEhIYU/SVlX0CtJUFNh250WR/6CKut98HHugY0OwJX47LX3fwlT17zjzeBugtqC1luBu3dUt7sGuJAMt+/CqiA1knrOTHBIyByX/+5BjftBfYkGuJ4KN1LUQLbaZhBmptbgH+gNdtZgZ0OT3r5sqNuK5j41wEZhbM0UhjvrCennrObuf/iVmrv/+geZhYB2H1Ot+a52UE2X2be+k6WaO9/aJtPanfIGiHToaQOhgEN9tcpeTTdwdQOz9MwugFmD7IxLI6lCjZx/1kt9jfEBv1oQGQMB1mo9fhstpEermQSLF6nV/toqmcVujBQ1oNT43bHUgzBTqwU6a9RlCeNzyy/AT1KhkRa9xORs3gxTv4jEbdAFNGaZ30dDusK1dV58+44TffuW7jWTkpL46quvmDFjBlqtlg8++IDJkydjbm6e90GlFfCUH8UNasrpCcjNA1CW8hc2sDGnnHtuqUFrAYqaj/5PCrQzh10p0MQcgtOhjSucjgJLp8xAw6yd6wSQmqo2p7G/vxpZy0Z1sdepAyuvQW0dDG2qziqDLiKOxfNJ43S+aJCOFvggtTqTd9bG/I9t2YMJazeEa1uhpy3EJYMBNXMAYH+qau32bwa7IsG5Fdz8B1prMj0JdWupn711BxwioHcNNUbBYIBfzsOQ9yDkBvy1DqJvg2PdzGMAbt+Ge6HwXDVwvG9Zx6SrVv0fidDQAC1S4VgqVHOGR7IcW1gLvCReJEmFQgbjSSosy39LxcE/NJuSB9CYCRz8Q1m+ypa+ffNRwMXAysqKDz/8kJEjRzJ58mTeeustlixZwty5c+nVq1fuB5VGwFNOcrrSixs3kN+6vlHGspDfSFHiD4wBiXcT4UAodNaoEfxnUtRCNG5m6jr7iWToY63WBMgrktrYXObcMahWO3MicO8u/BoK2mgQeuhxfwISEQFaPYqfGR/8lcazXS2Y7GrgLYsIlnSOZdV7Y2heJxV0qWpDnQN71Tz6pXFqi1tjWp4RfTrEhINTddi3Q11KaNIQnFPvpw1uVz/Xsz0MrJX5fCIioEkazP8Gdh1WYxuMa/frt6vfhbg48PcAd0vVyxGrv39NIDwcEhOhiYNqgTdVYP09CHcGM2MkeiEt8MIGiUoqLVLRS0xOSKjAplFyrvtsnJO5eaHsvE5ubm6sX7+eTZs2MWnSJHr37s0TTzzBt99+S/369TM/mF8kfEmsndLovJVTNiNZZYSykd9IYScoWScEIffUNDQzHUTp4Vo6DLBUU9tamKsNbVzN1fX2IXlEUs+bC0f/Uy3ZBNvsinVwXVgVAs2cwKWuqsTC49U8eoMB7DW4rU9lvYMFm+oqvPuIoObBI/BYdURsJEoTZ9ifDCO94JfL4GwJg60hJVXtYZ+qA+dGamDeoBGwcSYQpyrxGjUyJ1o5O9AZDGphIEczsIpUS+rmNgFbuUJtLRytwIYcfx93kqGxDmrZqh4CgLB70KcYEecyuK3KI133knIhv2C7p8akct0+EGf3mAeOCw9yoGGsB6uWl65FnxvJycl88803fPbZZyiKwrvvvsvUqVOxsLDIntdupKgBTzkpzdzngtzmxvzu0pS/pPTsDEf3QTUzSNCrqWttsjznI6mqK97XGQ47Pjg+cXHQpB5o48GghVYNoP8U9V63zgG3SFgXA3EK+Prdz9vXqyV5q2kgPUUtWRulhac8EStuofjaIBpH0d8+lg5JWqbuA4tq9vBfuNp5r72VGjlvpYEkBRxqwjE93EiGLslQRwvxqPEB0fet+rad4PQxVWa9HoICITUJalmptQCSNDDFW60xYF1DnThs3692ZcttGSddr9buH1YdfLIEOUpX+0OPDMaTmIyCgu2eHWpOzCkXDOlK9uPSFWJOuTBqRNkreQBLS0veffddLly4QN++fXn33Xdp1qwZW/78s+zKe5ZGM538WpmmOav53eVdATArudXsj4tT5fa3hkftVMXZ+X6Am05RLeYOFmpNfDeX3Mdn3lwwxEM/S1R/dopa/37xfDXoTSdgiAPoAINOtfaNrVmfqaem/A1wUOukX4hCSY4E13gSdAILjYZ3bZJp1iOVLffC1QI+l1JgaQzsSIHNybAtUa01f1MPtnFqQZ1UMtPijK5vT9/MoMWBw9VKeVZAi1ow3AXM0yE5BmKj1JazxnvNKwByxGi19K3RS1FaVegkVRap6AvDrl0wcCAEB5tYkMrJ1q2w9VAsboMu4Oweg5VTCs7uMbgNusCWg7EoCvR5xJ5r67wID3IgKdKC8CAHrq3zom9be3r3Ll95GzRowB9//MHWrVtRFIV+TzzBoOBrBEenlt4/1qLUvC+od31BEfGe3gVH8hd0jZKQW6T/oh/VDnBtrCAoSS1IIwSkGiBar5Y1NTaW2RWcez39774CTzOob6Y29jl6B6wiQB+hRqbbaNUANgcFAo/A9/PUMW9pl721awsL2B2ixgckxGKrhz9jrdkSa4liEPTrb2DQk3DPBrBVwNsSnqqm5q37OkD9hmrte2NzmX/TYMUtNdMga6R6XJxac99KgZ73a7MnRqqyHwhVy/pGhKmNbfKbgBU0sZOudkkO5Bp9YQgOhu3bwcsL3n4b3nwTLC0LPEyiUlCw3c+rbfllqTl9tjmxfJUtNy8IGroojHrHnN69Sy+Pvqj07t2b06dPM6tXDz7ZfwCvmad4p4ELb9Srg6XWKFQx/7EWJngu62dLso5fmDXYkl7DGFT43gfw6ceZwYU5a/Yb4wXmfqPWy9cAMXq4p4f/JanV59JFljK1APEPBoYZrflW94vltDKHoERIiYEoAcJGDUpLuV94pqNOrYvv5QQxyWojF02W8qnmBriaClcNoE8BB4U+OoXT4YJZrRRWeAtstAo8Yg7Hk6GhJZibgY8ZbLwM7VzV/HgjW3JZL1/0I8REQDMzqGempshdSlazA/4XD74WaopdTBQ4iLyD4Mqj0FNZ14uQlCtyjb6w3LwJr78Ov/8OjRrBvHnQr1/pXqOK0rFnCpadTmPllPLAvqRIC5L3+rFvh4UJJCs8N2/e5PXXX+f333+ncePGzJ49m8cee6x4JytKOlN5pPSVxjWMFfladYOjO2HK9Mza/NvnQS9nNZ3s8ddh8ya4dVZVrnoB4Smgva/gFYP600wLtawhJg0camev3//Bx+rafNNk6Jll/P5JgvNpqoXvrIMW1nAySc0vb2EOO1MgqTYYUiEhPrv8BqGm6Pno4FoKeFtASyv4ORoe0aH/LwVtQzNSmuv4P00yr8Q585i3mzqJ+P4MPFtPLf5jJOezjIuDZk0hMRxGWKtZBpHp8FcKdDSHM2kQqQU7M7VIjoc3tDFhvXbj8zQ+R0mlQK7Rl5R69WD1atixAyws4PJlU0tUaXB1UUgIz90DkhBuST0XJdd9FYl69eqxevVqduzYgbm5Of379+fxxx/n6tWrRT9ZUYrilNY6fkHylOQaRqv98dpqz/Z+NR/suW5MJ/t2Blw4BD6O8EqAuk5tDTQxAysBLzjB2OpQzQJe8IXxzcD2fjT9vwdVxbfoRzAkQIC56gGI0qs//cwBBYLS4HQarEuCo8lqy1k96ueFHo4HqYVxsr4+/BJauKqtdHtaw8VU2JkADbVQzwxtLS1YKdy0hGAHQf9G9xhw8yJX19+COmaQlpL/s1y5AlJj1UmIUCBGqLI6a2FrGggraFYdprSAdvVhRCl2HiwqeXVOlFRapKIvKj16wKlTMM6Ym7wSPvwQkpLyP+4hZtTwihFsVxr06NGDkydP8vXXX7Nr1y68vb358MMPSSrK8y/sGmtR1vGLS2lcwzhRcEyDJhoIT87sue6SrraxjQiDmjrQx6tNYk7fgxtxcPAWdLOAG6lQUwNnkjNbju6+lfvkZ/Pf4GoBaeZwV1Et4LsKpFtAXTOwsQOfFqBxhiZW4GQDOiuobq26y3ObyGRtpVvdCmqYw/lUtSFNOuok4bqgiaU1pxOd+CrUmX9rJuP9+F0+DHAk9UztvAMhX3gefpyjrs13s1Oj7WtZQQ0r8NWqa/Mv+MKgLD0CTKlgy2NyKSlXpKIvDjqd2lYT4PBh+Phj8PaG//1PDSiSZKNPn4oVbFdSzM3Nef3117l48SKDBw/m448/xtvbm/Xr11OopbCCgueMllxhe9eXhOJewxi8Z7TajQFu7azUIDNPS9W6b2mnWvM6AYFpavBcDQWqK2pPcWeNatE7a1RFG2aAWKCphVoo52/9gwFm/v5QzRcuusHfafCfApvS1Pc1msOo51UPgIOdWgK3fhM4rlV/9muUuxL94OPMz7t7QnUb1ctQz1ptcFNPp0bnn0nGXCt4w8GRwH/cGOQ5kC0dXDDbkU8g5NY1cPkq1EBdIohMV1/3UtVIfWeDOqmpCNHz5TG5lJQ7UtGXlDlzYOdOsLGBQYPg0Ufh0iVTS1Wh0Gjgmy/N+PYdJxrGepC814+GsR58+44TM2eYmSzYrqS4uLjw66+/snPnTmxsbBg4cCCPPfYYl0tjWSfnP1wjpfmPtyTXMAbvGa12Ea8q8+pmqkL8NxTqKxAdqRaHSRJwKkmNcNcBbWtAeiJ0qgnWOuhqD7YW8Ki3Whu+cRMIqKPWm886+YHMiZIxVe71lpnubuNnsy6P7A6FKxF5ewiM92Oc8CSnw6UYaKGDiBS1gE+6gEZaOJkMEUBaCi5mKaxaeJedgzegUTSEJYQxbO0wLkVcyj6+HXSg0cOldFiVkvlanQR/pMAVg3rewkTPl2V2RM5xgLKZXErKnUr6L7aC0bUrnDgBs2bB/v0QGGhqiSocGg307Qurlpuzb4cFq5ab07ev6SLqS5OuXbty4sQJvv32W/bt24ePjw/vvfceiYmJxT9pSZrblPU1jAqsX03Vam9u/WC62vVoiNPA0ptqzvkfCeB0f+kmHbgYAU01QGLxmqgUZHkal0f+1sP+MOhgk7eHIOe5Dt+DujpwsIREAYk6dWlAj1rN7oA9nK4LoQa4fALr3/8E4OSdk2y+tBnfBb68+8+7JPz8k9r2tbZGrRfg4AyBtzLjAiJSICpdDUa8ejtvz07OZ1ZWTZXKY3IpMQlV4N9sBUGng8mT1VS8/v3VbXPnwh9/SHf+Q4BOp2PKlCkEBQUxbNgwPvvsM7y8vPjjjz8K587PSXnkShf3GkarLyxZtdrv3FbT1WL1qkvaIMBNBz7O4KKFgBpqffhmOtV6d7CEwCRoa6nWim/intlpztEuM/AuL2WXVYa8LE+j1T9itGr1d20G7evn7iHIOeG5FQ+RCmxKgW1psM8uc4kgTAN9H81cGniqSYYS7NW4F4ETAxnqM5TP932O941p/OkZq3o6HrGC5Ai141xxKesgufKYXEpMgkyvKyv0emjfXl3D79VLVfoeHgUfJ6kS7Nu3jwkTJnD69Gl69erF3Llz8agKzz9rauDuUAiOgXspaiZKjuQJYdBgUFJJMTfDyi4F0dUCJUFAiECJTocO1pAM2DtD9erqQYXpuFbY9MTCdPSDgjsG6qzB5rZaPthYNjhrSeFcSgnvnT2FCbe/x1MLv5s7gpkC2xPghj2culj8Usf5XLPEFLdzoqTCkFd6nVT0ZUl6OixcCO+9p3aaeu019XdbW1NLJikH0tPTWbBgAe+//z6JiYm89tprvPfee9hWhuefV8GUQtb8NxhgT/tJOF3fT6OEi1hbJSNsNShxBkQiaHSgaLVgbg42tlCvQeb5ClIohW2JWxr9CXKbLPx5Pwd/sG3uE4j7x6R3TiJeicTRwZwLIp0VSYm8+7Me29dmwOQphbt+fnLIuvaSHMg8elNgZgYTJ0JQEDzzDHzzDVy5YmqpJOWEmZkZr7zyCoGBgTz99NN8+eWXeHl58fvvvxfPnV+e5LYWXIQ13K1bYbz5h3z86hdE1KrF9We9uDq6GddHenHFxoMdi6PUtelbcXDpdsFr01kpzJJDaa0357ZEkB4B9lF5LxusXAEOCZhFR+Ko10Csns1JycwwT8LrqTR+X/8JIja2cNfPT468guTKOmBPUumQir48qFkTlixRlby/v7pt5kw4f960clUwDAbYvBmGj0qlY88Uho9KZfNmdXtlplatWixdupT9+/dTo0YNhg0bRq9evbhw4YKpRcudvNaCi7CGayx73P3UFnT1DaQ7qLUS0h3MsXZP4vrXy4ovX2HSE0tjvTm3yUJyOsTGgVty9i9m1gnE1ctwS8CmJHWdf0Myr/2psH+7Fc7JCsO6RtFrfhsuhF3Ifq28lHNRJy1lGbAnqZRIRV+eGPubh4XBF1+oSn/qVCjq7L4KUlCHu8qu7AHat2/PkSNHmD9/PseOHcPPz4833niDuIpmeeVVMKUIwXshoQJnuwgeO/Y/UppnX6pIaWVH92s/lK3FWRrBjLlNFnaHQk1F7WZ37U7uE4ivZ0G/geDhD3V8Ml7tzf04eroV8y815FhKMMtOLst+rbyUc1EmLbKqnSQX5Bq9qQgPVxvkLF4MtWvD11/DU0+pxTkeQjZvhqlfROI26EK25jeGdIVr67z49h0n+vY1oYClTFhYGG+//TaLFy+mTp06fPPNNwwfPhzF1M+/lNaCh49KpeWNjxiZuoKE9o7Z9ulTtTjuj6PG2NdLHkxWls1XcgtOC74OyffX6HPGFkChA9bCEsKw0llha27LrvObuP3OSwx3d0LZI4oeLJj1mmUdsCep0MhgvIrK4cMwYYKae3/lCtSoYWqJTMLwUalctw/E2T3mgX3hQQ40jPVg1fLKUyq3sBw+fJgJEyZw9OhRunTpwrx58/D19TWdQKURwIY6cbs3bhxtrfdkj8YXkBJlRf26Zjh2L4Uo7irQfOWpGa1YlXKMLjoH5p1xwrfLG8XvICgD9h5qZDBeRaVNGzh4EP77T1XyQsB330HMgwqvqpDbWvzZswJr5+RcP2/jnMzN0Ko3IQVo06YNBw8e5IcffuDMmTMEBAQwZcoUYkzx/EuxYEqfPnByyFwGOe9ldPffmDB0GaO7/8Yg570se/Yg9kcKEXRXWHkrs5s6Lo6f1yWzUNuQM+kJBHheY8rB94kJDyn6uWRVO0keSEVfEdBqwWjFHT6spuF5eMCKFVWu2E5ea/Eh99IIvmCB8W6FAe6dr8aJVY04sqIJISGiSgTm5YZWq+XFF18kKCiIsWPHMnv2bDw8PPj555/LNzq/FAumlEvZ46rQfGXlCrQuel6qUZ+gGq153qo2sxtGsGbFtKKdR1a1k+SDVPQVjUceUZV9w4YwahR06qR2y6sibN0KWw/F4jboAs7uMVg5peDsHkPTfte5d7Qu0REKwgAXNtbn0oFqKI1CcOh4Efv2l6pUYF5uVK9enYULF3L48GEaNGjAyJEj6dy5M6fK6/mXcjW+Mi17XBWar+S4h+oaHT84uHNC58uY309BXBx/Bf7FqTuFeP6yqp0kH8xMLYAkF1q1Ul35S5fCtGnwxBPqGr5Wa2rJSowx7SprwB1ALZ8oQo9X5+Jvnji7xxJ5R0f1XucwpJphb6PF1TUG0SyWLeu86L0t78A8g0GdTCz/LZWQUIGri8Ko4eb06VN56uq3atWKAwcOsHTpUqZNm0aLFi2YMGECH3/8MY6OjmV34cpU9SxXN3WsqtAqy1p9hnK2UZXyffzNbMAhHMPKFbyhn8ulyEtMaD2Bj7t9jKOlY+7nyjpJe4BSKpksqbTIYLyKTmQkXL8OzZtDcjL8+ScMH155tFYOOvZMwbLTaaycUh7YlxhuwZ0N/iQkGUjzCsLRLZrqThrsHTLjufILzDMuC2w9FIuDfyg2zskkhFsSc8qFvm3tM1zGlWkyEBkZyfvvv8/ChQupXr06X375JaNGjUJT0QQtTwpbAreiU4ho+siP3+f9f99n4bGFOFs782XPLxnpPxKN8hA/f0meyKj7qsCiRfDCC9C2LcyfDy1alOh0GQpvVSpnzwniEwQ2llp8/QSjR5SN4itMdP3NUJHnZCAp0oLkvX7s22HxwL7CpOj17l24yUBF48SJE0yYMIEDBw7Qrl075s2bR4sSPv9KS2FL4FYhTtw+wYRNEzgQcoC9Y/bSsX5HU4skqYDIqPuqwHPPwbJlcPWq6t4fN061+ItB1qC4I6kXifU9Tpr/WW7pw9l7IZLXPi+b9fBRw82JOeWCIT17vrghXSHmlAujRpjj6qKQEG6Z6/EJ4ZbUc8k91zyvZQGNmcDBP5Tlq1LzjBFwG3SBLQdj2batdO6ztGnevDn79u1j2bJlXLlyhVatWjF+/Hgii/n8KzXl0dmvgtG8TnP2PbeP7c9uz1DyGwI3EJn0ED5/SZEptEWvKIpOCJGWY5uzECK8TCQrAVXWojcSHQ0ffgjz5kG/frBxY5FPYbR+nbpf4FZ4GuaOySgKCL3CvU3NaNImiviLdUq9UE1h3OtbtxaveE5+ywJGT4Cri1Lp8/Wjo6P58MMPmTdvHk5OTnzxxRc899xzD7c7/yEjIjGCerPqYWNuwxc9vuC55s9Jd76k+Ba9oijdFEUJAW4rirJNUZSGWXZXUPuniuPoCLNnw4kT8OWX6rZ79+DIkUKfwmj9RsXq0VqlZRTkU7QCW98Qbp2tlmEFlyaFSbvq0wf6PGLPtXVehAc5kBRpQXiQA9fWedG3rT29e+d+7sJ4AkJCBTaVPF/f0dGR2bNnc+LECTw9PXnhhRdo164dVXpyK8lGdevqHHj+AJ7Onrzw1wu0W9yOo7fk85fkTmGmgF8BfYQQzsCPwHZFUdre3/dw1mutKPj5gY+P+vtnn6mpeS++qJbXLQCjwktNA41Zdv+8uVMiybG6MlN8BaVdFTcHuyyXBSoifn5+7Nmzh59//pkbN27Qpk0bXnrpJSIiIkwtmqQc8K/tz57Re1gxcAXXo6/TYUkH7sbfNbVYkgpIYRS9uRDiHIAQYi0wEFiuKMpAoOKbPw8Ln3wCU6aoXfLc3WHBAtDr8/y4UeGZ68CQnv1rkBppjaV9mkkVX3FysAvjCSjMZKAyoSgKzzzzDIGBgUyePJnFixfj7u7OwoUL0efz/CVVA0VReNb/WQInBrJmyBpq2dYCYNuVbegN8vlLVAqj6NMURaltfHNf6fcApgNNy0guSVGxt1f73Z86pXbFGz8e3n8/z48bFV41ey36JF1GAT6hV4g/60pd36hKp/jKclmgomNvb8+3337LyZMnadasGePGjeORRx7h4MGDphZNUg44WDowwGMAAEdCj9BnZR8eWfQIh0IOmVgySUWgwGA8RVF6AmFCiFM5tjsAE4UQn5WhfMWiygfjFYQQsHo1dOwIrq5w7RrY2EDNzEYlWYPiUuqGkGaRgD5ZR+J5F6wsFRwszenXruKmm5UEgwG2bVPTCm+GCuq5KIwaYU7v3hUvj744CCH47bffeP3117l16xbPPfccM2bMoMZD2jDpYUMIwW9nf+P17a9zK+4WzwU8x4yeM6hhI59/VafM8+gVRflDCPFEqZyshDz0ij4nvXurgXqffAIvvwxmakFEo8Jb9msqZ88L4uMFNlYamjWD0U9VHcX3sBIXF8cnn3zCrFmzsLW15dNPP+Xll19GWwUqLEoKJi4ljo93f8x3h76jnn09gl4Jwkwji6FWZcpD0Z8QQjQvlZOVEKnoc3DxIrzyCuzYobr158+HDh1MLZWkEJRGFb8LFy7wyiuv8M8//xAQEMC8efPoIJ//Q8P5sPNcjrzMAI8BGISBk3dO0qLOQ1psqYpTHgVzZGBeRcXTUzXd16xRC+x07Kj+LqnQ5NXpr6jNfby8vNi+fTu///474eHhdOzYkVGjRnH3rozQfhjwruGdsX7/y+lfaPljS0b/b7SM0H+IkI7ZhwVFgSefhAsX4NNP4dFH1e3XrkF6umllk+RKaVbxUxSFIUOGcOHCBaZNm8aqVatwd3dn9uzZpMvn/9AwyGsQ0zpM49czv+Ixz4M5h+aQbpDPv6pTmoq+8iQgVxIMBrWC3fBRqXTsmcLwUakl78luYwPvvqv+TE1V1+9btIA9e0pN7oeBMnk2OShMSd+iYmtryxdffMGZM2do27YtkydPpkWLFuyRz/+hwNbcli96fsGZcWd4xPURJm2ZxJA1Q0wtlqSMKZKiVxTFSlEUjzx2v1UK8kjuU1pu23zR6eCrryAmBrp0gWeegVu3SuHEVZtyeTZQ4ip++U1GPDw82LJlC3/88QcxMTF06dKFZ555htu3b5eO8JIKjYezB1ue3sKfQ/9kYuuJACSmJXI7Tj7/qkihFb2iKI8DJ4Et998HKIqywbhfCCHL4ZYi5dJ8RVFg0CDVnf/ee+q6vYcHnDlTCiev3OSnJMurMU5JqvgVZjKiKAqDBw/mwoULvPvuu6xZswYPDw++/fZb0tLS8jy3pGqgKAqDvAbRo1EPAL7Y+wUe8zyYdWAWaXr5/KsSRbHopwNtgGgAIcRJwK3UJZIAZeO2zRNrazX17tw5eOmlzLK6D2mwlsEAr72ZzrgPIjmYcJEQ15McTLjIuA8imfpWOstWlc+zKUkVv6JMRqytrfn00085e/YsHTt2ZOrUqTRv3pxdu3aVyn1IKgejAkbRqUEnXtv2Gs1/aM6u4F2mFklSShRF0acJIXK2/JKR9mWESZqvNGkCM2eqeVvh4eDlBcOHQ0hI6V+rArN5M6zaHIvS6gw6t7tY1IlG53YXpdUZft0cy5nTYO2cTEwMXL1m4GKQgavXDMTEqNtL69mUpIpfcSaKTZs25e+//2b9+vUkJCTQrVs3RowYQWhoaKncj6Ri08SpCRtHbGT98PUkpCXQbXk3Pt/7uanFkpQCRVH05xRFeQrQKorSVFGUucB/ZSTXQ4/Jm6/Y2MCkSbB+vZqe99VXavDeQ8DXs1PRNL2BRfUkzCz1aMwEZpZ6LKonoWlyg4goA8EXLAi5k06qNgWNbRKp2hRC7qQTfMEC17ql82yK29wHij9RVBSFAQMGcP78eT788EPWrVuHh4cHX331FakPyfN/mFEUhQEeAzg//jwfdvmQ/u79AYhOjiZVL59/ZaUoiv4VwAdIAX4FYoDJZSCThArQfMXKSu15f/489OgBb72lFtuJebCPe1XjfJAei1pxGa17jSgKWNSKIzEJ7h2ti84uJdtEQGeXwr2jdfF1L9yzKUzkfnGa+0DJJ4pWVlZMnz6d8+fP0717d9566y38/f3ZsWNHoe5NUrmx0lkxvet0/Gr5ATBx00T8F/rzz9V/TCyZpDgUStEriqIF/hZCvCuEaH3/9Z4QIneTQVJiKkzzFTc31ar/+281997BQd0eH18uly+PNLYHEAr62NyVpD7WkvR0gZ1jOmGbm5FwzYm0GEsSrjkRtrkZdtXSORtUsOVT1pH7pTVRbNSoERs2bGDjxo2kpaXRq1cvhgwZws2bN0smoKRSMcJ3BKn6VHr+3JOha4ZyM0Y+/8pEoUvgKoryDzA4l3X6CkdVKYFbYZuvXLgA7drBm2/C1KlgYVEml8naeMfBPxQb52QSwi2JOeVC37Zl13CnS880Tt6KoM7AUyjazL8PoVe4/T9/lHAnWo47Rfw9K0JPOZEcq8PSPg0X/0hsayaRst+PfTvyH5PNm2HqF5G4DbqQbR3dkK5wbZ0X377jRN++xb+Hshi75ORkZs6cyeeff46iKLz33nu89tprWJTR85dULJLTk/l6/9d8vu9zNIqG35/8ncfcHzO1WJIslLjWvaIo64HmwHYgwbhdCPFqaQlZWlQVRZ8XpVH/vETcvKmu369bB02bwpw5lEgr5UFRlWFpjcvff8OoCfEYHGKxbRaCuVMiqZHWxJ9xRRNjj3djC9K8L+Ls/uCcNzzIgYaxHqxanr/FPHxUKtftA0t0joIoq4licHAwr732GuvWraNp06bMnTuXPn36lEhWSeUhODqY9/59j5m9Z1LbtjYJqQnYmNuYWiwJpaPoR+W2XQixvISylTpVWdGbysrNla1b4dVXISgIhgxRW+PmXNguAUVRhqU5Lsb0uj+3JJGkJKNP1aA1N2AlLHminxU9u5rxxpcls8Y79kzBstNprJxSHtiXFGlB8t5Mr4DJJ3Z5sHXrVl555RUuXbrEoEGDmDVrFg0aNDCdQJJyRwhBp6WdqGlTk1l9ZtHAUT5/U5KXoi90z8KKqNAfRrLmRxuVjJVTCk6NYtmyzove20rm8i0SffrA6dMwaxYkJ2cq+bQ0tepeEchNmZ05pVD7//KJHL+QqWRLc1w0Gvj2KzP69rRj+SqLB6xhgB277Nm6zivXSUVh4idcXRSuh1vmqugTwi1peD9Y7oEJTKNkrodbMvULF7bvLOeJXQ769OnDmTNn+Pbbb/n000/x8vLinXfe4fXXX8fSMvcYB0nVQi/0PNr0UT7d8ylbLm/hnU7v8Hr717E0k8+/IlEUi/4aueTNCyEalbZQJaUqW/Tl4fItETt2qD3vZ8+Gxwq3fpeXNR60vS4Wdmm0eOYySg5llvNey3NcjAGCX89O5UKQHiEUvJpqees1XaEi4qHwyxJlvZZfWty4cYOpU6eydu1aGjduzOzZs3mskM9fUvm5EXODqdumsvb8WhpXa8zGpzbi6exparEeOkqjTW0roPX9VydgDrCydMSTFBaTFNIpCpaWqjXfvz8MGABXrxZ4SF5V3LyGXyQuyox756pl+3xukePlNS7GSckbX0aS4hFIszFnaTzgEmGpcezYVfguYIXNqijXCokloH79+qxZs4bt27ej0+no378/AwYM4Gohnr+k8lPfoT5rhqxh2zPbaFq9KQ0cVBe+7IxXMSi0ohdCRGR5hQohvgPklL2cMXkhnYLo2BFOnVIL7Pz7L3h7wzff5HtIXsrMsbqgZqtbBG1uUGCKYXmNS2nVuS9sMZwKP7HLQc+ePTl16hRfffUV//77L97e3kyfPp2kpCRTiyYpB3o17sXmpzdjpbMiKS0JvwV+TN81naQ0+fxNSVGa2rTI8mqlKMrLFGGNX1I6mLyQTmEwN4c33oDAQLVpjs39iFwh1FcO8lJmCtDQKwXXWroCK8PlNS76dIXbB124FaqUSh5+YSzswub+F6YYTl4TGGGAkGPOhISI8qsvUEjMzc154403CAwMZNCgQXz00Uf4+PiwYcMGCrtUKKn8JKYl4lfLj492f4TP9z5sCJTP31QUZY1+Z5a36cA14BshRGBZCFYSqvIafYWKui8sQqiBej/9pKbkzZmj1tW/T2msr+c2LvHhllz71wV9gjlN+l/DtkbRxypnkGDQZQMNnzxLzQYp5PQRJEVakLTHjzYttKX2fHJboxcGOP9XfcKCrXHrfJuaDQp/DVNE8O/cuZOJEydy/vx5Hn30UWbPnk2TLM9fUrXZeW0nEzdP5HzYeR5t+ii/Dv4VB0sHU4tVJSmNNfrnhRDd7r96CSFeBCrGAuFDREnqn5uMrCl3+/ap3fHeew8SE4HS8VLkNi6WgR5YKDravHKKGh5Fd7PnVr1O2MVz87KOkBDxQGRqQrglZoqmVFvY5raWf/kfF1XJD7xI/eaFv0ZZVuPLz4vRrVs3Tp48yTfffMPevXvx8fHh/fffJ/H+85dUbbq5dePkSyeZ2WsmeoMeOws7AGndlyNFseiPCyFa5Nh2TAjRskwkKwFV2aKv9Ny+rVbUW7kS6teHn37C0LN3mXgpSuopyM2avne+Gpf+q4ZD+0vUc9FmVATWpyqcXepHarwObfMgHN2iqe6kwd6BDMu/uNH/OQvfhIQI7Ntfon7zmAe8Cvldo6wi+IviZbp9+zZvvvkmK1eupEGDBsyaNYuBAweilGL9BUnFRQiBoijcjb9L75W9md5lOgM95fMvLYpt0SuK4qkoyhOAg6Iog7O8RgMyWVJStHr0derAzz/Dnj3g6AgGQ5l5KUoayLb8t1Ts/UOJSxAZ7WjjLCOwdkgncrcHN07akxRpQVigA4fn+pNCGknaJCzqRGV0s8tq+Rc2eC7neD41JhUh4Jel6lq+q6tCzQbJDyj5gq5RVhH8RQlQrFOnDj///DN79uzB3t6ewYMH07dvX4KCgop1bUnlwqjQwxPDEUIw+PfB9PulH0ER8vmXJYUJpvMA+gOOwONZtscBL5SBTJIKTM41Xpe6CqlJGgLvFrGgS6dOcPw4aLUAaD75iL5JSfSd/x7Y2uZ7zcKuKxe2KE1e3AwRxLonkXQ7nZQ79iRcdSY93gKNRTqWNukkHHYnOVrBAg22NeLwfuoCp9e4kR5rhUX1JLQWemKjLYmNMcPBoXDXLEyBnOLeV0iowKZR4QoQFYWCJxC29O2b3cPQqVMnjh8/zvfff8/777+Pr68vU6dO5b333sPGRpZTrer41PTh+EvHmX94Ph/s+oBmC5rxervX+bT7p9K6LwMKtJWEEOuFEGOA/kKIMVlerwohZD/6h4jc1nhPRYey40Q0Zm3OU72oa9L3lTxCwK1b8OWX4OUFv/+eEZ1fknXlkq7967QKkbfMiT3pSlxgTaw8b+HU6yw2zW6SGGuGlbmGPdssqOMiqNM2FK2ZoG6zKGKO1ychzIKEcAvS0gV37gr0hbxmYazjgu7r2WHmuXpYXOuWTQpicT0nZmZmvPrqqwQFBfHUU08xY8YMPD09WbNmjVy/fQgw05gxqe0kAicGMsJ3BNdjrkslX0YUxSl6QlGUCYqifK8oyhLjq8wkk1Q4clNC8eEWOLa9SnxyOrFZlsKL5A5WFPjhB9i/H5ydYdgw6NkTLl1i82ZYtysWmp8jnChuxyShqxVDw0EX2Hwgls8+y3vJoKStfoVBIfZEfVJjLKn+6GmsGkZg5pCMVYMIHDtfJFaJZ9u2TEUnDBB+xY7UaCsidnmSGmWNIU1D1DU7ji32os8jBV+zMO71/O6rzyP2bPs394lRSqK2TFIzS1rDoFatWixbtoz9+/fj7OzM0KFD6d27NxcuXCiWPJLKRW3b2iwbuIzlA9Uq62fvnaXvyr5cCJPPv7QoiqL/GagN9AF2A66o7vsSoShKX0VRAhVFuawoyrRc9lsoirL6/v5DiqI0LOk1JcUjNyWUHKvDwikRrVUaEZHZzesiF3Rp3x6OHoX58+HMGQzJqUx9N4UUlxukmSejsU3KWPsOvW0gOimV2b9E5Gnpl3TtP10Y0Oi1aGxSiNjqy921LQnf1Iy4My5ozQ3Y+IawfFVqhqILu1iN6HAz6o86iFOLUFIu1SF6jydp12tigY5e3Qq+ZmGs4/zuq2dXM7Ydzt0jcPFuDJ61ij/xyYvSqu3Qvn17jh49yvz58zl69Ch+fn68+eabxMWV+N+MpBKg1ageviuRVzgUegi/hX68uf1N4lLk8y8pRYm6PyGEaK4oymkhhJ+iKDpgrxCibbEvrihaIAjoBYQAR4ARQojzWT4zHvATQrysKMpwYJAQYlh+55VR92VDbh3XTqxqhKZRCFb1ojDEW+HpnqnJSlRjPjmZzTstGTImgbm1R3HOrTF/+3QFRUEIiD5Vl6SrNajR5TJeXpkKpjRrwA8bmcr6Taloa8Zi2+wmZg6JpMdYk3DWFZ19Cs7eYdS6HsC7Uy2Y+kUkManJaJuEYOMWCairD6nRlrjWNiPtbvm0rzUeX71JDGEXqxF6qhrJsTos7dOwdU7B38GFMU+bl2rr2rKo7RAWFsbbb7/N4sWLqVu3Lt988w3Dhg2Trt2HhHsJ93h7x9ssObmEunZ1+a7PdwzxGWJqsSo8pZFHn3b/Z7SiKL6AA1CzhHK1AS4LIa4KIVKB34D/y/GZ/wOMnfPWAj0U+dduEnJz0br4RxF/1hV9ihbzLA3rSlypz9KS5b+l4lQ9nBY3zzPzf1+x/Oe3aHovGEWBpJvVsPQMxcKyeBHkhckU8GlijsYmmeq9zmLdKBzz6olYNwrH+dFTpMVYkH6zJvVclAxXekywAxqbFAzpCunJWlKjLbG30WLvUHjvRkmt45BQgbVTMhc21ufSgWpoGoXg2P0cmkYh3L1myf7/BL1751+Nr6iURdZEjRo1WLRoEQcPHqROnTqMGDGC7t27c+7cueILKqk01LSpyeL/W8yB5w9Q27Y2J++cNLVIlZqilLD9UVGUasD7wAbAFvighNd3AW5meR8CPJLXZ4QQ6YqixADVgfCsH1IU5UXgRVAbbEhKn1HDzZn6hQtOjWIz3Pc1PKMIu2TH3Q0BuHW+TVJk0Vu25kVIqMCpeQo9zmxlQpuvmbJ7GX/+NIFfWg/grbivwTKN6k4PapGCIsgL2/r1/OVUnFvdwpBkjsYiHUUjQCiAgp1fKFH7vRn1mnmGojtxykBwhAMGc4G5DqrXzsyjjw+zxAINw0flnTlgMNx/xdqw+8sArGok4uIfhaVjCrGnCzeeri4KJ084ExVmRs1Hz6Bo1XHQOSRjXjOW6E3N2bbNotQ73hnL+eaMri8qD2ZYNGf69EPcvLmI9957B39/fyZNmsSHH36Ivb19KUkvqai0dW3L4bGHM5rjbLm8hW1XtjG963TsLeTzLyxFaWqzSAgRJYTYLYRoJISoKYRYWJbCFQUhxI9CiFZCiFY1atQwtThVktyCwCIuO2CRYkuv5tXwTi/dSn2uLgqWjik41BTMvT2Nzo/9wRrvR/m/k/+iiwHibLDPpZJmQQFghc37DrklaNosBXtrLfoYa/TJOkjXojGYobPQY2tplqF4NRp4a4o51vdccW+kpZGbBof7Sl6fqnB5oxvXY+LyjCfI2hXPsVMQ3s+cx8bjNsGHqhOz14OZ0wo3nqOGm3PnRA1sfEMylDyoywiGVDPqtr9VYTre5SSvDIs3v4rh0rXnuXgxiOeff55Zs2bh4eHBypUrZXT+Q4BWo8XCzAKAw6GH+e7gd3jM82Dlafn8C0tRmtrUUhRlsaIom++/91YU5fkSXj8UqJflvev9bbl+RlEUM9Qlg4gSXldSDPJy0c5614m1q7X8usycd6daIIBPZ6qFXkrSaGXUcHNiT7vg0fcmTdtFEhnqwyssoUOz/0i2qYvVrbq89Pt3NAy9nHFMYVzchS0c4+qikBhhSaPGCm71zLDTWGKWaoWVsMBRa0vHdppsijevaPizS/3Q2qbi/VTeE4usk48a7jHUapBCsy6xdBh/EcUhHo2mcO71Pn3A1tIMRasnPVn7wDJCjQYVr+OdkYImYMeOVeeHH37g8OHD1K9fn2effZYuXbpw+vRpU4suKSc+6PIBh8Yeop59PZ5d9yxdlnXh9F35/AuiKPbWMmArUPf++yBgcgmvfwRoqiiKm6Io5sBw1GWBrGwARt3//UngXyGncSYjr45rkN0as+h0mvPaQJ6ZEkH9pikMG1l0pW9UnMHrvVDMBHXbh2LreZvQmNo4OZjRr3oYHQ7u4ruvnue5lXNJPqMUKoI8t8h2YVDL2wYfqMHm7XqGj0rFu7G6Xi7SFRwcoJGbBk93DQ3qaYk948LtW9k74kHuE6FGdS1w66bm2WcbyywTi9KqWqfRQMd2Ghy1tpjrLTDEW2Gut8C1thmurgqJFaGVcR4UdgxatWrFgQMHWLRoERcuXKBFixZMmjSJ6OhoE0gtKW9au7Tm4NiD/PT4T5wPO8/h0MOmFqnCU5So+yNCiNbG6Pv7204KIQJKJICiPAp8B2iBJUKIzxRF+Rg4KoTYoCiKJWpqX3MgEhguhLia3zll1H35k7WOumKm1mOPTdCjMU8nYrsPtd2SUaIdihyFbTDAli3w2jtqWp1VjURc/SOxcEwl5pQLrZ30PH3xfXoG/US8ZXVujPsSn69GoTHL+wI5I9uFAS5srE9UmBlWHrewsdNT3cqa6JMuWKfbkqSLL1FHvNyyFYwkRVqQvNcPAMtOp7F0THkgWt65UTw2txuw/x+LIj0Lp+4XiIrVk5oG5jqoZq8l8t/SyUgoCwozTvt2ZB+DyMhI3n//fRYuXIizszNfffUVzz77LJoK2d1JUtpEJUXhYOmARtGw4tQKhBA86/8sGuXhfP6lEXWfoChKdVBLdyuK0hZ4MAeoiAghNgkh3IUQjYUQn93f9oEQYsP935OFEEOEEE2EEG0KUvIS05DVGouNgdgEPeaOyehs0rHzv0lcuEWxOrhpNGo9HY19Al3eOknbFwNxfSSMGh4xNBp8gaNRWsTshWiPH8WheROarf8UTXr+1m/OyPawi9WICjOjRr8zWNSIp3bDNJzd1fMnmsXzVO+SdcQrTEEZVxeF+DDLXKPlrx23JzJcyVjLLyhboFcvsEq15dRKD6JDrdHrBdGh1pxa6YFVmi09exZ+/MuT4hTecXJyysi7b9y4MaNHj6ZTp06cOHGirMWVVACqWVXLUOqrz61m9PrRdFraiRO35fPPSlEU/WuobvTGiqLsB1YAr5SJVJJKR1Z3eESkAa1VWkZ3WnOnRJJjdcVunlIol27z5moL3N27wdJSbYH7zjsQGfnA+XKupd84Uh0rj1ukxVlkpMMZz+8YEMq5S6kZSxW164BLt2C05oV3sWedWAggJgauXjNw4YIgaHtdvJuY8+xQc27takjUPTVa3sYtEp1DMtYNI3HqEkiSeTxbthSuHPD27ZCoi8er+12Um3WJ3eONcrMuXt3vkmgWz44dRRr+cqMkqYXNmzdn3759LF26lEuXLtGqVSsmTJhAVFRUWYstqSD8NeIvlgxYwqWIS7T6qRUT/p5AVJJ8/lC47nX1AYQQx4EuQHvgJcBHCCGjICRAdmssNQ00ZpkmZmqkNZb2ahmGIlfLowi11DUacHVVf9+1C/Hll6S6efBD+4V06pGU51p60i0HbOz0GevYSl7nL4osWcg6sbiw357gS1qiQ62J2NsEC7s0ft0WyY5d6VhrzbFwu4c+TZMtiM7BXkPttqF89V1qobIFlv+WimNAKLWaRdF8xFXavRRI8xFXqdUsCseA4nepK2tKWrJYo9EwevRogoKCmDBhAgsXLsTd3Z3FixdjKG5EqKTSoFE0jGk+hqBXgpjQegILjy3k+O3jpharQlAYi/5/WX5fLYQ4J4Q4K4RIy+sAycNHVmvMXAeGdPWrJfQK8WddcfFXLeviNE8pjkvX0PdRZj5zmDM04aUD4/gxsDVWSX9mWL+QGVTYt5eW6lbWGelw+Z2/OLIYsxVG9HIiYn8jEo82RblZF/eOEbR45jKNBl9g66FYzMygXpO0XIPobJ2TuRCkL1SwWknb85qK0iq84+joyJw5czh+/Dienp6MHTs2o7yupOrjaOnInP9v777DoyqzB45/3+npPQQSICCkQShSVOyCgLiKXbChsnZRsYs/Xcu6KBYs2F0VXUV3VexIEbugoBAgpIDUhJLeM5nMzP39cROYhIQUkkzK+TwPD5Op5+YOnHvfe97znvE8f93yF+MHjgfglbWvsHZPz93/zfmn4/k/18D2CkR0bZ5nY8aiEKpy/CnbHkrO18mERDqJSChqdbe81gzpLl0Kb20fwIP/eJJnLrufqJK93PHn4w1eS2/J+7c0ltpr6pdc5eCFN+wEH7ONpOnpjJi+jcikIpThYKIuK9cwVtkOVPd7zsUvz7OhaapZCfxIF5nxpsZmdbSmtm748OH8+OOPvPvuu+zcuZOxY8dy/fXXk58vs3N7gtjgWAAqqyt57KfHGPv6WK7/8nryK3re/m9OZzytkdtCHFB7NjZpWShvv+/Pz6vclNmd9B6ZS5+ReeRvDWp1t7xJk2DZykCWLk5ssJd6Q+934Lq+Gb4bO5nfkk/Ar7IMg0lj4KD1ZD2cBqdfD0Zji96/Jc+t34HPaesDYcVk7XMRWGqsc5nAL9yOn01fXc6z8yAcPIhIHGykLNdG6T7fOlX50cMLUUY3A2oSeEMdDD3fZ8acQw+MDulI10eRNMhC6lYH2Xsa7uTXFSiluOyyyzj77LN56KGHeP755/nf//7H3LlzmTlzJsbapZJFt+Vj9mHTDZt46PuHeOH3F/jf5v8xd/xcZo6ceWAhne6uyel1SikXUI5+YuEDVNQ+BGiapnW6PoQyvc773G5Ytow2Wzylpe93uKla53z6PjNXvgyjRukr5R1zTIvev7nP9ZxyaDBpBxYA8o0tOLDYTVBN4V9eZhD9i+OJijTw6Q8l0D8L/CuhzAd2xnDuKYGcdpKJK2eVUe1bhs/gvRj8K3GX+VC5pTfmCn/efcmfKVNavshM/ef7htvZkWYlZ20fAkKcJE7ZTUXBkS1S01ls2rSJm2++mR9++IHRo0ezYMECjjmmftdt0V1t3L+Rm5fczKrdq9h802YGhQ7ydkhtqrHpdc2eR9+VSKIXh10FLiOQSzakMOuve2HPHpg5E+bOhTZunVw/hpzNIWxZFULklI24qg1YXFYGDjAcWHHvqXtDWbbSySffVFKp7LgcBowWNz6ajfPP8OHUE01cNjufgFM2YQy0YzC5cTsNuEpslH4/lEXPh3Hmmfpnt+TApf4BSXExZO1zYg6oIndJMoOPKyAyqahNVwb0Jk3T+OCDD7jjjjvYu3cvM2fOZO7cuUjr7J5B0zRS9qcwImoEoF+/Pz/xfCL8uv7+l0QvepT6yatWnWR1fCk8+ijMnw9XXw2vvlrnPQ5dYKVlw9f1RxU8G/P4JWZjtLrpHeB74Ex5/Mkm7nqi8ZhNZQHk9kvFP3EfLpeGpuk9BoxGRVlaFPEVSXy/rOWLytQ/INm23Y3DWIXJ5qJ8eyjubTGMnK63rziipYc7mdLSUh555BGeffZZAgIC+Oc//8l1110nw/k9yNaCrSS+mEiAJYB/nvZPrht1XZcezm+LhjlCdBnNmqoVEADz5sGGDfDww/oLU1Nx//wrX30FSUdXceFV5Xz7ZzFlUTvZEXDonPXDqV8UpwyQ+LddDD6uAPumWCq/r1tV/u5/D98vYMtOJ9ZepZhMYLUqbDaF1ar0n3uVkpbpatXvqn6Vvuf0yNoeCLU6c9V+SwUEBPDkk0+SkpLCyJEjuemmmxgzZgyrVq3ydmiigwwKHUTK9frZ/U1f38SY18ewanf32/+S6EW31KKpWomJEBUFgPbQwxhOPJ7KGdMxR/1MrwvX4DN8O7s2+ZObGUTs1OZ392uoQl8ZIDyumIgQIwtf8alTVd7UtDhNA1dJw9X0rhK9Kr9Wczro1ap/QOI5PdKzBwJ0/qr91khKSmLFihV8+OGH5OTkMG7cOK666ipycnK8HZroAEkRSXx7xbd8eMGH5JTncNaisyh3lHs7rDYliV50W62ZqrV8+pu8HnMrUws/4tfvzmZm5gcE9s8lcspGCnNM5G8NOjBnvalk2tIGME1NiwsKMFCS0hfNVTfRai5FSUpfkgbrQ46NLffa2GhE/QOSsFADrkozbmfdHgitnR7ZFSiluOiii0hPT+fee+/lvffeIy4ujhdeeAGn0+nt8EQ7U0px0ZCLSL85nS8v+RI/ix8ut4v3NryH0931978keiE8vPmZhTfPmcmZ099ifXQCc5a9yiVrv0AZNfyHZpGdEnpg+Lqx1foiYxz0j7czbEwVe/a5mX56KP2Lm24A09Qc/ZtmWjFX+JPzVTLl20OpLrZRvj2UnK+SMVf4c/ft+hB7U8u91h+NqH9AYnZZUXmh7PnfKGxmA/6RlS3qUNeV+fv7M3fuXDZu3MgxxxzDLbfcwqhRo/jpp5+8HZroAP4Wf46NORaAr7Z8xWWLL2PUa6P4edfPXo7syEgxnhAeagvo9hZX4jDYOX33r6waMAK72UZ85k62rD+ewIka1ox4cuxldVbrKy534ayG/GVD8OlbiN+AfMxVflj3xDRrWlpT0+Lm/cvEnfc2XpX/9BP6+x92xkEjxXT1q/Rj+iiGxlnYlOkga8+RT4/sijRNY/HixcyePZtdu3Zx2WWXMW/ePHr37u3t0EQH0DSNT9I+YfbS2ewu2c1lwy5j3oR59A7ovPtfqu5Fj9TSyvnaJGnuVUzWPieWYDtKgdLcfPbCTUSV5fFS/3tYGns7lUP+Ijyu+MB0NIOtmqpyI9VFvtgz+hA1ZTOOIht9ws2HXR7WM8bdWRpGDBQVa+zPc6FpisTBRu6ebeaMM/Tn10/IQwZbSN2iJ+SYaMXGFEXU1PX4hjd/udfW/r56goqKCv71r3/x5JNPYrVaefjhh7n55psxm81Nv1h0eeWOcv710794atVTDOs1jN///jtKdc46FUn0osdpaeMYODgtL/bcNPbsc1NS7qpZiU/D7xN/nt7/EKeVLWebXxIvXjCLzFFDD0xHc1QYwVqN226i8Nuh9L1oHU67EYvLSmB1SKNn0nWa1YTaSfuqL6VFJiJH7yE2sYqKRmJubPsyl/fBGlDN0Zdtpf6y3IebHtea31dPsmXLFm699VaWLFnCkCFDWLBgAaeccoq3wxIdZEv+FgrthYyNHkuZo4w/9/7JSf1P8nZYdcj0OtHjtPRaNRy8Xr1jcSK2imDCbX5Ub+9FzuJR2P1GY/9gKe5PPsVflfP0whtIzvzzwHQ0t0uhjG6qC/0w+eln0waTG0d149PS6sdYluOL3emmz4V/oIUXUG1sPOYlS+DjJZUUO+xs+S6K9KXRuJ0GEi5Op7TQRE5qSJ3P8iyma6iQ8J//bPnvqycZPHgwX331FZ9++inl5eWceuqpTJ8+nezsbG+HJjrA4LDBjI0eC8Bzq5/j5LdP5pKPL2FP6R4vR9Y0SfSi22rWOvb1eE7LG1ASj2X9MI7zS+CDF8JIXWdhypkKw7lTWfduGg8NepoNsSOxmCEh+y+sOHA7jJRvjCEgQZ+a5XYasJgbn5ZWP8bslBD8h2ZhMGkYfarJL3CjuSEvM5jcQhczrteX2/3qK7jjPgfF7nKMg7IIPi0Vw8AstqwKYd+qvkSM2kPmkv4NVvtPmNBwVf4zr5dR1ScL1YLfV0+jlGLq1Kls3ryZBx98kMWLF5OQkMCTTz6JwyG/n55i9nGzefCkB/kk7RPiF8Tz1K9PUe3qvAu6SqIXXZ7TCY88ArEJdoL7VBKbYOeRR2DX7tYt19qcaXmnn+1D8Tm3sO2zIQTvN/LOB/ew5P3rSf5vCZagKvwG5unz3ivNhAQaG52WVn/uvL3EjCVUX07CYHJT5dC76W1ZFYJt6A58TtGT8g33lLK7pJRef9uA34ACzEF2/AYUHJgGGGi2EtPL3GAPgeXLGz5zNwXaqbaWU3JoDV+3apTTFnx8fHj44YdJTU3l1FNP5e6772b48OF8++233g5NdABfsy8Pn/owqTemckrsKdy1/C5u+OoGb4fVKEn0oktzOuGYExw8+U4e1cM3EXrO71QP38ST7+SRkQ6luYdfrrUljWU8eZ759zWOYVb4O5gqFF/tu5B/b7qNgBQnFbuDUHmh5H+bSHxkEG+/f+hn1J87bwusxlHgC+ijAY7sEApzTURO2Ygtpgi/mqTs8i/Fd0gWznpz6j2nASYPUQ0erDQ20mELcuCym8kvOHTju2OjnLZw1FFH8fnnn/Pll1/icDiYMGECF110Ebt37/Z2aKIDHBV6FF9M/4Ivpn/B7cfdDsC+sn1klWR5ObK6JNGLLu1f/4LMvBL6XPgHgXF5WMMqCYzLo8+Ff2C3lrJjWWyj89Ivv9jSosYy9dWe+X/wjoW3s85lyyeb+e/wfzC5dAXffzWNQet6MdqcQGJUIBk5xewMOvQzLr+o7tz56OGFlG2Kwe1UuCrNVO0Ow39oFhg0XJVmwkL1f7JVZWZsvUqpLjNTv57WHFJBZa5vo41tGuvAFz28kIrN0VTZFcXFes/79Ew3f23V2Lta/32Jhp155pmkpqbyyCOP8MUXX5CQkMDjjz9OVdWhMx9E9/O3uL+RFJEEwF3L7yJ+QTyP//w4DlfnuJwjVfeiS4tNsFM9fBOBcXmHPFacGU75D0OJjqtosIq8qUVkWr1K244d8NlncOutLFkCzz/wO4ZLqw98hgYU5SvSPkgg0hpAaamiqLwao38VvsFVVJVYcLjd9Bqzh8J10QSeshmD2UWg38E17NctGojqn40KqMRodlO1L5DybeE4y6zgVoRqIWzPNGMyHRpeY/PsNTf88e4gygrM+A/bjbVXKa4SGyUpfTFX+HP5hbYDc/VF43bs2MHs2bP59NNPiYuL4/nnn2fSpEneDkt0kB1FO5i9dDafpn9KXFgcL5zxAhOP6pguU1J1L7qlohINa1jDfaltYeUopTXa776pRWRaXXwWGwu33grAildS+OLPcfzf2/cRmb8XDcjK0tiTV4112HZ259kpteXjd0wmgcdlYuiXgzJqDI8JZrQ5AZPdD/KDiIkyHUjyoJ99l6T0xc+mqN44kNL0XvjE7SVs/Gb8h+zBGFbK3XMaHpVorAOf5laYKv3wNVkw7Iuk7JcEtJ3RJJycx9hZKSz9TSrvmyM2NpbFixfz9ddf43a7mTx5Mueddx47d+70dmiiA8QGx7L44sUsuXQJbs3NpP9M4qU1L3k1JjmjF13a4c7oSzLDMacMZUd6w9fp6y8j6+lIGsvAwcdWLqvgnpg53JjyFgbcvHvi5Tw1+CIId1O8oQ/FG3vTb/qfYNBwFNmIiTIR4HdwREHTGl5u1+VQ/P7CcIwWDbupnF5/24Cm6cP9gX5G+kQZ2NHIqMTh5strJX4EnZhJRAu66rWV7tisp6qqiqeffpp//vOfAMyZM4c777wTm63h76ToXqqcVTy7+lmuHnk1EX4R7C7eTYRfBDZT++x/OaMX3dLVl9go+aPh6/Alf8Ty98sa/wfV1CIyjRWfHW7RmDvucXL73QcfM0bbeWbg1Zw+/W1+HDiOv6/8N198dC1mt5PSjEgChmWhjJq+rnzNdDrPEYXGFsbZ8Vkil19oI6G/lZCkHLRKGxaX9cCZv7GZUwjrj3SEhoF/K2YqHKmWLsTTVVitVubMmUN6ejpTpkzhgQceYOjQoXz99dfeDk10AKvJyj0n3EOEXwSapnHh/y4k+eVklmxZ0qFxSKIXXdqcORAXHsie/42iJDOcqnwfSjLD2fO/UcRFBHLvvY2/tqlFZBorZjtcI57F35fwyTeVBx7rNyafyow+5PYJ5roJ/+CKvz3FoqPPpBoz1QV+xATsOvC+tc114GBSPVxSfvoJEy5NY1ByFQlxBgYOMBAUxIHh/dZMIewb07qDnyPVmuZGXUm/fv346KOPWLZsGSaTiTPPPJOpU6eyfft2b4cmOohSikdPfRSjMjLl/SncvvT2DvtsSfSiSzOZ4LefLdxzpT5MX/DpWMwpQ7nnynB++8nSYDFarZYuI1urdnqaMml1qtN37HbhjMmiEvuBYfaIhEJCIpzkLkmmKteflYEn8GrIVeR8ncyZhqX88sHF3PTDf7BWVx1orgN1k+rh5vU3d1SiudMIW3vwc6Ra09yoKzr99NPZsGEDTzzxBN9++y1JSUk8/PDDVFZWejs00QFOP+p0NtywgScmPMGZg8/ssM+Va/SiR6u/altzVmk7YUIV1hM2sKfITmm5G5Smd7Izu6nM9aVk5VBOuy/lQJ95zQ256cHsWhNO6c5gTDYncWfsJLJ8H1d//TznFX3O7uAoHhl3MxnHnkSAv6HZVf+evfnLyjXyC2pGBVwGcpcn0scvgGHDwF5uJCOnmOARda/JJ0QFYra5ya5ZEOfyiyws/87Jst87tt99a+sluvJ1/aysLO68804+/PBDBgwYwHPPPcdZZ53l7bBEFyaL2gjRRqZd4eDX8nTcYQUY/atQRjeay4C70ow9O5iS1YMYcf4uIpOK6rwuLzOI/sXx9O5lYOlvJQQOy2ZvSijJu1bzdOHdxJdu46v4s7gr8u1mJ1W3G26/28miJSUYBu/C0qsU+35/SlJiMFqd9D1lN2aHD9t/7E1EbAVJZ+1CGfQpfrt2wvZPE4hJKiV6VN6BhD7pmEBOP9XEux82/+DniH+nrVxatzsswrNy5UpmzZrF5s2bOfPMM3n22WcZNGiQt8MSXVBjif4wA5tCdH7eOKNLGmTh87d6E3FeNgaLPvatTG5Qbso29MVVZWLjZ33puyuA8gIz9lIzVv9qjGUBPDBPH3aftCyUhYv8MVo0ygafzY1M5pxdL2IIj+CZOaFMHO/CYK8AX98mtzdhgAWLMuPeF0nRhv5UVRiIOHkrvoNyqSy0UW60E3zGPnJXJrHjz2BiRxdRUgxldifBx26jdFsMPqFV+IRWETqwhKWLE5k0PrTdqusbMmOahTvmRhM6sOSQngbFKdHMmHNoLJ7X9WtfU7sN3yxOZOKyVvZB6GCnnXYa69ev5/nnn+ehhx5iyJAh3H333dx333341tv/QrSGnNGLLstbZ3QXX+Hg698LwOTELzkLU3AF1fl+lG2KAQ3cboVyG9CcRgKHZ2HrVYZjfwDurf245IzA5jWdeeklmDcP5s+Hc84BpZq1LO36DwdiGJiF74ACqh0a1XYjrjIr5tAK7LtDKd8Uw1FnbqO6WsNhrEKrMlO0cgjHXZdRc4khhG0/R2Io9efUk42HPWiqve4/b341aVtcoDSS4ozcdauFM85o2YFWa/Zla0YBOrs9e/Zw11138f7779O/f3/mz5/POeec02nXPxedi0yvE92Otyq1s7I1AvoV4a4yU7Aiif3/G0Px6qPwTcom6KR0XMW+KLOLqPP+wNyrGKsFBo8uY9TMtEOazjRaJDd0GAQGwnnn6ZV4mZmNbm/IaZuptGvkpgcfWBTH7QKXGwwWFyjQXAbMoWVoDhMl5S4q7TVV/gW+2AKr0dwNL57T2PS22ksGM24qY/2efKzjNuI7aS0Zvpu5+h59mmFLpsQdbnZBYwdsjbXyha67CE+fPn147733+OGHHwgMDOS8887jjDPOIDMz09uhiS5MEr3osrxRqe12Q36eomx3MP4jdxBx7lpCT9uMMcCOY08IzmI/FOCfnIXRDCYfB5V2vUiurFwj0COuw84d//JY3Gv/hGefhdWrYehQ9j30bIPba7Vp+CZlk50SemBRHKdTA6XhdhjR3ApnmQVHvj9G/yqMPtX6gUCVkbJNMUQPLyA3veHFcxo7aFq6FD75phJ3UAm9z0nBf1A+PpHlBA3dh++JG1n8fcsPtJqzaqCn1vZB6ApOOukk/vzzT5599llWrVpFcnIyc+bMoby84S6QQhyOJHrRZXnjjG7pUrBbygg7JQOffgWYgu1Y+xUQdsYGnMU+lKw6CoPFpQ/nOzUwucDgxmGsImufkxJn5YG4liyBj5dUUuyws+W7KNKXRuN2Guh/VhoffV3JaX9zc8IX13PdpI1knXwJ6x1x+IXbMbqceK5kExZqwGirxl5sObAojrNa4XYrXHYzxgA7mgYlvw0EiwNHqYWqvcHs/3wEweFOIhKKyE4JaXDxHM+DJs/Rhxk3VJKbC7b4PWA8GItSYPJ3QP+sdp8S562pgB3FZDJx6623kpGRwbRp05g7dy6JiYl89NFHdMdLrqL9SKIXXZY3zugWfuAg6thsggINOEt90KqN4FZoTiM+A3PBZcQcUoGz0FevxncbMJjcmGwuLMF2CvdaKClSXHyFg4uusJNXbkfrt4eg01IxDMxiy68hrHoliSJXOTsC07GduIENvYqZWPUMy7TxlOXZuPzL13j0xdnE7NsBQGAQmKv8cJbYUEY3VptG3lcjqMiIwlVpwrE/kJJVgzH4VlHxVwT7Fo+g4vc4xg8PwVrlT/7WICryrRj8qnAU2Qj0MxIYdHCbaw+aPEcffE/ZAFYHmqUKe5EFz7RjMLnBv7Ldh85b2wehq4mKimLhwoX8/PPPhIaGcuGFFzJx4kTS09O9HZroIiTRiy7LG2d0Wdka/uF2YmIUvhYjWqUFd5kNd5kNa2QJJt9qbH3zKUuNRnMq3JVmzD4uQF80pjQ9ir92ukgpykZFFhJ+1jqMYSW4NDe+AwoIOW0zVW4n5rBSCjPCWP+/WHb/EYZfwl7Kqh3sWx3NnpBoBu3O4IXHr+SqT1/EVlaJdU8Md17nz4DSeFx7QzFW2qhIjaHk18FUZPTGb8geIs5OIWxCGkpBUHg11840Mv9+/Zp4Y4vngH7QZDKoOvUBfqFVWEIr0FxGXE5wVho9fv8GKPNp96Hz1lzX78qOP/541q5dywsvvMCaNWtITk7m7rvvprS01NuhiU5Oqu5Fl+WNqnvPSu/iYsja58QSbMdebKF8ZwiVGb3xH7Wd0vX90OwWAoZn4d+3mOoCX0o2xKApF6ZqH3yCHbj67sYWmw9Kw1nsg9XPhaPCSP738bjtZoLHbMevVyWOAl/KNsVgMxsIqArFGFxG7OANzFr3DGes+4L9lig+Pvddrn9/AgZDTUOfEzewbV8l1ZoLo6/jwFx/R44/JSuTST5vJwNKD1al1zbeaWzJ3ghLAI7E9AMV7sXFkPlbIOXbQwkZvxnlNOEb6kDToCrfB21tMq882jWmt3VFOTk53Hfffbz55pv06dOHp59+mosvvliq83s4qboX3Y43zug8RxECgyDQz4ijyKavCZ/ZB2OVjYIlwzFUW+ibWI55Xy+KVw7BvS2GoEH5+MXvxyfYgb3EjC28Es1d0+bWp5rqSiMVO8IACDl1MwFHFWIOsuM3oIDIKRuptGsYDfDMnFCCnON4LPR/PHDGj1gHxnL9A9H69mr63PqKPBsmE1h9XVBlxlVqgyozymElpH8Z/hF1axiaGgZ3au469RCBQdArsRijzUnB8qFU7AylMseP4k1RVPyUzLmndJ+h884oMjKSf//736xatYqoqCimT5/O+PHjSU1N9XZoohOSM3ohWqD+KIJvuJ3cnTb2/NoHW7U/JxyvGDLYwqLldc+ONTf8sSyYwrX9sPq5cDoM+AzeR+CYbbg1QANXqQ+FPw/CJ2EvtshS/MIddYbQG112V9P0KjiASy5he2UUF+2/hfIxu6m22DHZai4duBQ5Xycz+LgCDCbtkHnmh2sHfMlVh85Z14DiQshc1oeSzb0JDITEOCN333b4annRtlwuF6+//jpz5syhtLSUW265hX/84x8EBgZ6OzTRwaQFrhBtpKn++LUHA9+sLkELKaY424ei3X44XeA7KIegYXuo3BdA2cZoLGHlhJ60Bbem4S63UfBtIv7HbiWgT9nBa/uAywllu4IoXT6Cv53RSCMbpxNuvBHtjTco9e3Fg5H/4MPkY/DtV0x1oT78HxLpJH7SbnZ8dvhe+vU78BkxsLO4lKRL0jDWG9rf9kkil0wMJXVr1+s3353k5eUxZ84c3njjDaKionjyySe55JJLZDi/B5FEL0QHcjrhoulOftxYjDkuGwLKUS4jxSnRGH0dBJ+UiavCTMGyZCy9ivEdmEeEzY9dywfge/Q2rH0LMPlUYzC5qbIrnOUWHPuCMGb3JnZc7uHrENasQbvpJtSaNaz1G8eVtlfZ37sXMcMLsAY7KNlw+BqGhmofynJtbP1yAEZ/BwNOzca/ph6iaH00vk5/Ks1l7V4n0ZUXsOlIa9as4aabbmLNmjWcdNJJLFiwgOTkZG+HJTqAXKMXogMtXw7p+0s45rp0QgcV4d+nDP+BBYRN3ojbbqYqKwRLSCUBR+/Evi2CwmXJhO6O545r/QkujCE63IzFZaW62AdnmRWrnxPnzl70G5vXdPe/MWNQq1fD668zKjqP516MYsLRQfjti2VAadM1DA114IuIL2bsrBSsmLFlHKyHuGRiKJXmsnbvTnjY5kINdO7rycaMGcPq1at57bXXSE1NZeTIkdx2220UFx/aKlj0DJLohWiG5q7nXsuza5+jWp9b7nRqGCxu/IdlUbElClwGbBGl+IY6GDF9G737wP3360VxBSsTCawOweSwopX4UfhdEiG99OY20IzufwYD/P3vqLQ0xl8czqI3jfxsO59Fp77P5Inuw54Be8auuSFncwjrFg3k97fiqFR2NLfix2V657rUrXW7E2roFfk7drsoDsvi+tvsh/09NZe32h13VQaDgWuuuYbMzEyuvfZann/+eeLi4li4cCFuOSrqcSTRC9GE1pxNenbts5j1ueV6zZyGOaQcrdKKzaagzA+/0Gr8a5rS1J9JkPP1MNx/xTD4uAISz9x1YI17AN9wOxtTtcMffNRm9Px8KCiAq66CE06Adesa3d7a2D373xsGZhF8Wiq2oTtI2VlyYLs9t1MDsrI0svY5cRirsPYupLC6sk3Our3R7rg7CA0N5aWXXmLt2rUMHDiQK6+8khNPPJH169d7OzTRgSTRC9GE1pxNenbtCws14Ko064XxmqK60A+TXxWaSx3oNe/Zyc+z5/vk043EHpdLZFJRnSSvATvSrGTtr27ewUdkJPz8M7z1FmzdCqNHw003QQPNVmpj9+x/7zegAHOQHVtMEX2mbD6w3Z7bWVIMJeV6B0CTzYWzxIeAXpVtctbdHRew6UhHH300v/zyC2+++SZbtmxh1KhR3HzzzRQWFno7NNEBJNGLHqWlQ/DQ/LNJz/femKLIXN6HwnxFYKA+395Z4kN1mZnSdf3A6mDvp8MJiXASNqi40U5+jXX/K8pX5KztQ9wZO5s/lG0wwJVXQmYm2o03UfbFSi67AY4fX8XJE6o5ZaKD48dXsW8vZH8Xy+4/9f73qqaXvaaBq9JMeIQ6sN2e8eUXuDH6VKMUdQ5i2uKsuzsvYNNRDAYDV111FRkZGdx44428/PLLxMfH8+abb8pwfjcniV70GK0t6GrO2aTTCedf7OSy2fn8VJKOY9SfGKzVpPwnnrRfA6kqtlKVHUL+1yNw5AbgyA3AVWGhotDC9k8b780+aRJMHBvIxn8PY/Vr8fyyIJHVr8WT8kYy/sFOIofUPSNrTlJ1BwZzu+0ZTuj3LVuDd5BfuYs7f5+K1fERhXEp2OMyqNKqyUsPQflW4XYqnHZjnT74tdt9+ukQ3yuQ1a8mkJMejL3IQulfoeR8nUxI5MGagiM96+7uC9h0pJCQEF544QX++OMP4uLimDlzJscffzx//PGHt0MT7UQSvegxWlvQ1dTZZEwfxQUXu1ixroiQKevwT9gLoSX4n5BO2LB97Fk2mL8+GErJbwPxsxmIm7KL2LMyiJqSSnWZmUsnNd3Jz+BTjV/8XgKP24pf/F6wVB+YZ19fU0m19vcQff52NJeBqLxtHOtezZIfLuP/fvon4YG7GPX3NHwjK7BvjsZd5oPFZa3TB792u++6z0n6vhIi40qoWBdL7jdDKVwfjalPPtYhOygp1S8zHOlZd09ZwKYjjRgxgp9++omFCxeyfft2xowZww033EBBQYG3QxNtTBK96DFaW9DV1NnkkMEWvv+9kuBjt2H2c2IwaQdXq9vpD4FlBJ26mYjz1mIb+Rd7N4ZQlRpLQrxi8Ol7SN3iOOxUt2W/lzDkkjSSTy4heVQ1ySeX0PeszRTnG8lNDz7kNU0l1drfgzJp7FgTQsbIYMZf/Rpvj5rKRZu/4j/zL2HKb5/R/4QsqnZGEjfQyMABBoKCQNXb7qW/lTDwvDSOGp9NYJQdg9lN2Omp+CRkYzfoS/Pu2skRn3X3tAVsOopSiiuuuIKMjAxuvfVWXn/9deLi4nj99ddlOL8bkX8eosdobUFXU2eTqVscaJZqrKEVB16jASWZYTjtJkJO24zPgDyMQZWYovMJnrCBwhwTuenBTZ59N3ZwEh6h8I3bR9a60Dr3N2coOytbwzfcTlaWRmmhCVNoOaW+Pjxy2jWccdkC0oIHMPaX5VhDq/C3mRrd7k1bDsaWmx6C3e3EJ6qEwm+TqNoTgrPcRHWRL9s/TSAh6sjPuj2LFH9eoU/vk1a7bSMoKIj58+ezbt06hgwZwrXXXsuxxx7L77//7u3QRBuQfyKix2htQVdTZ5NZezR8Q6pwFPgeeI3bBWVbeuGfnIUyucFlAIOGMrpxKw3fpCyyU0KbPPtu7OAkMAhCejso3hHU4qHsmGhF7k4bJeUuzEF2qot80TRAaWSEDeSCKc/y9zMfYvdfFgZa9rAk4P9Izgk9ZLuz9xyMLTslhIDkLCJO20LwsH1UZvQmf/lQtG0xxCSVYrEdfu6+6BySk5P5/vvvee+998jKyuLYY4/lmmuuIS8vz9uhiSMg//REj3EkBV2eZ5M/LrNyxTQLby9ycNLEKrKyNGyhlZRtikFz6e/tdGq4yi2YgirQ3Pr0Os2lQIEyaBgCy7EXW5r83MYOThQQaPJh9DBzi4eyZ0yzkP1rHwwWJ4HxOZRvPBi3u9KMwddJEYFUbY9kWMn39F36Oq8tT+bn8/7NojeNB86iPWOzl5ixhFagFPgflUfkhAxip6Yxcvo2okflkbVHpr91FUopLrnkEtLT07n99tt5++23iYuL4+WXX8blarguRHRukuhFj+E5BL9zXRAZKWb+XKlXjCdEBTJhQtPv0VDlvi1uL7l/BWC0Ocn5Opmy7aFUFdnQgKqsEJTRjTJoVBf56AnfrbDnBuAssTV69l07VW9vtiLtmz78tVWjuFi/JAD6wUlJSjT33m5p1lC259S/fz5VhT3Xj9ylQ9AMbpTFSd6XIynf3AdXhRlHTgB5S4cS0svJ2qljuPvMtTBypD7vfswYWLUKqHvgZAusPjCiUTsNLyxUD6QzT39rzXTLniIwMJCnnnqKlJQURowYwY033sjYsWNZVbP/RdchiV70GAYDPDnXRHxkELuWD2D/d3G4d0cSGVdC2t4S7p7TdPe2hir3B43PJnJABZW5vgRFVlG5sR/5Xw+nOieA8s0xmAMrMQdXYvJz4Cqz4sj3o+LPAdx5nX+DZ9+eBxNVCekERdnJXj6YLWv92bbZQm4Lq83rH5z4nLQBn96lGAMrqEiNwVnkB9VGKjP6ULo6jvL1/fG1GUg8cxf+EXZWlyfgXraCdfd+SH5GDl+d/wrTZjhwu/Wpf9sXJ+IfXkVpSl+qy011puF15ulv0j+/eZKSkvj222/54IMP2L9/P+PGjePqq68mJyfH26GJZpLV60SPsmQJ3DG3gNipaeRvDSY7JQR7iRmrfzXGsgBemRfAlCmNv37ajEPXZQd9vfm/vo2mMrM3lXaNap8yzEftpbrQl+piG37JWZhDynHkBFK6ZgCTjwnmow8aHmKvjbF2PXvNDbnpwWStC6V4RxCjh5m59/aDy+I2d5tr3w/0/vVbfg0haNwWzCYDmk3vZue5Zn1kUhF5mUH0L46ndy8DS38rISpxC4EhZewvj6TPL3lcGrIen9tmsfB/bn76RaPKXEafcXuI6G+nop1WsWsrDf1eQD842b748Mv49lRlZWU8+uijzJ8/Hz8/Px599FGuv/56TCaTt0MTyDK1QgB6ot4RkEFuRhCFuSb8h2ZhCa3AUeBL8Z/96GMOJXWdpdGkdMKEKmwnbsAntOqQxyoLrNh/GgaA9cQN5FfYKS5zUbU/kPK/wnGWWVFGN7aSMPbtstDY/42NHUwA5GUGEVsSz6KFzT9Dbuj9avvY52VbCIjPwRBYjuYyUl6zZn3imbvQ3HrCm356KIuWH3pw9M/8B7h+36uUDBhG4MIFuI8/kWXLYOEiB7uzNfpGK2ZMP/wBiTeXnm3r33NPkp6ezqxZs1ixYgXDhw9nwYIFnHDCCd4Oq8drLNHLYZjoUbKyNexR1gM93Gvbu5qD7Nj6FLF38SiWLQtr9EwuJlqxM8/WYKIvz7MRG63QgJ15NmLiqggsNpFvLcOvdxkWMxiLQkhyhjWa5Gtj9Bt4mGmAaY0fnDeUODdt0uh1dt33UwZI/NsustdEkP1THBYLlNmd9B6ZS5+ReeRvDTpwNp66xUHgsGwyvul74OAoOLSCf+VfxS8/jOaJrEcIPOkkDJddxuR585g8uXfjG1cv1jrr3g+0szPPxh1zo1n+XfuPAhzJ77mnS0hIYNmyZXzyySfMnj2bE088kcsvv5x58+YRFRXl7fBEPZ1sME2I9hUTrchOqdvDvZamKYKbaB/bnMr92udoTkVQEAwcYCAhzkBsXyPOrdFcecnhzxLrV9rXLv26bbubtPVWsrK0BgvGGrvmnJVTzY40K/XTljKALcTB+FMM7Mqw8cHr/owIiabql0OnD9qLrBTkmPCN30vJ5ij2LU2kJK03K489mlExP/PXxXPgv/+FN9+sE8/hCt28vfSs9M8/Mkopzj//fNLS0pgzZw4ffvgh8fHxPPvsszidTm+HJzxIohc9yoxpFipzfTGHVNS5v7ZSPDK26rANbJrTivVI27V6Hkx4Lv1ahYOKrRH4xO1tsGCsscQ5+Iyd5KztQ1G+nrhqDxz+2qqR9k0f9mQrli6FiRMbbkYTE63IWh+Cy61RnNoLW/weQsZvwha/h+K0XpS4/Dlt3QNMG/Unl6fNYskScC1dwUuXrDxsoZu3l56V/vltw8/Pj8cee4xNmzYxbtw4Zs+ezciRI/nhhx+8HZqoIdfoRY/idkPS0VUUx6bhPzgXg8mN22nAWWFG5YRTmt4LQ6k/p55sbPRasdtNk9eim/Ocw8VYO6RtGpRNkaus0evnz8wJZeJEPcnfMNtOYXUlAb0qiR5eSERCIcqgX4//891BOMrMDDp9DyXOSgr3WqjIjCI43EXvYQWUbGi8aG7JEjj3Ejum3vmE/y3l4EiIBo5CHwqWJePbu5SRk/IprynA+2/auQzN+5HvR07grfNuoiAoXN82j0K3fz7VdL3DzyusrdnNzXLIpYNw+4H4O2sBYWenaRqfffYZt912Gzt37uSSSy7hySefpE+fPt4OrUeQYjwhanz1Fdz0UAG+41KpdmuYTVDyRyzlxSZsA3LoO6gaY5V3/8OvPVC4/jbP5F1ARMLBdenrV8QXh2Vh7V2Is8SHMo+DAmWAijwr+z4fTkQErN1QTVBsMTEjD77f4SrN3W4I6WPHOm4TfoNzQGmgKVx2E+4qE9WFfjjSYjjhmu36852KP58azD8iH+TqTW/hNBr5YPKVfHHyhThN5gOFbhp4vRjuSA7IROMqKip4/PHHmTdvHmazmYceeohbbrkFs9ns7dC6tcYSvXyVRY9zxhlw7imBsG4I4YRgyY2iNM9C8Lgt9IovJbJ/+18rbur6dW0nvpgYxZgrtjJy+jYikw4medALxjZuUAeG64MHFGH0c+A3oIDIKRsP9NMHqCiwMWwYRPWG5Au3cfSldd/vcMPltcP3Fr9qlKbAZdD/rjZh9K3GHFwBjoMJ2WDSqLCZeWbUVdx03ztsGjSSqz97maG//cy27W72llaw8gcXSUdZKFrv3aFz6Z/fPnx9fXnkkUdITU3l5JNP5s4772T48OGsXLnS26H1SPJ1Fj1O/d71e37qR0hSDn2jjQeWYYX2u1bckkYtTRWMldtdB65zh4XWtNrVQBk1/Ifq/fQ9E+fhFvbxDbWzIUU1ePCRPERhrfaDCh9MmDAbDbidBkDDXeyLJaCabdvdpGe62bbdjdm/ivJ8H/ZFRPPIdU8wc9rzvBd2Ag5jFSdv/5UoawYfrCjA1+nPtk9k6dnu6qijjuLLL7/k888/x263M378eC6++GKysrK8HVqPIole9EieZ3JxgxWDkqsOLMPqqanV5VqjJdXmTRWM+furA4k7MAgC/Yw4imw47UZMgZWU7vepkzgbOnDQ3LA/NYRVryawvaiE1eXpOEZsYEfNwccF05zsyVbk/xGN0W1E2W24y3wwKQMGt4myTX1RUXk4jFUY/CtxGKtw+5ZTkhKNy6koKYbvwpKxhFTho+w8+eu/WL1tHHcHzsFpLODSSbL0bHd31llnkZqaysMPP8znn39OQkICTzzxBA5H+xZcCp38UxI9XkdPs2pJtXlTFfxDkw7GrtCH+mOiTFhcVqr2hhBi9qmTOOsfONQ2zklbGoUKKqf3BX9gGrCf/WUV7HcWUjo4lW/WFLLLkEVglJ2c7wdTujsAs9NGYHUIuV+MQFkdBA3bg8nmwmDSMJrdaOU+qAofNr+fyK71gbirjVTsCCVr2SguPHYx6xNGceVXr/Lx+mNZ9fgXrPrNzcSTrLz77+YNnUuP+q7Hx8eHBx98kM2bNzNhwgTuvfdehg0bxvLly70dWrcniV70eB09zepww+f1RxCaWiJ3xvS6sSsgKAhi+xoJyo/hlWdtdRJn/QOHrDWR5GVbwNdO0MidmH3cOO1G3MqF01CNZnYSMHYb+XsthBy3jfiT8zDsi2TX4iGE7o4nRAtCq7BRuTOU6mIb5dtDyfk6mdAoJ4nn/0VsUAAVv8dRuDKJ0g3R2PrlkzPazfTjH+PyyY9jMDr5qvxsYmM/58l38jjmRAdNTcGWHvVd24ABA/j000/5+uuvcblcTJw4kQsuuIBdu3Z5O7RuS6ruRY/X0dOs2rL1amti96w0//Z7N75jMine1JvQiakoSzX2MhNGfzvOMitGn2q0KhOFK4YSOTGNmCgTQUEH49yVpVHRewe52wKwl5ixBVYfmB1gL9KnyOXlUWc6o73YgtMJ5pAK3NsDOGFtJusujcHtVCQuLOaYa87mnn/YGm2Nu3Sp9KjvLux2O08//TSPPfYYAPfffz933nknVmv7TavszmR6nRCH0ZHTrNp6MZUjib22d3/60mjUwCw0nwqUrwODtRpnsS/GgEqqskKpTO9D5OkZWF1WBg4wUFlgpfLHYZiUgc37i9A0apL8wfn7eZlBWDPi2banijJjKZFn6i2HS/b5YPSzo0wuCr4ZRvCwffgflUefov0se/FqdpkGsOysZ3kud1yDBy979rnZGSQ96ruTnTt3cvvtt/PJJ58waNAgnn/+ec444wxvh9XlSKIXopPoTI1aakcX3E4D6T+E4Ts2E0tEGcqoUV3gi+ZWFK4YAgaNwBG78e1VzpAkA3kZQRT9FI/dUkZV9C58+xZRXeh7YP5+/KTd7PgskQhLAFUJ6XUWEaqqdoOmKN8cjSnATtT4raiaqyZj1qfyf0teI86VyaqhJ/LG+bPICdN759ceCBkq/Ig6y3uNdkT7WbZsGbNmzSIzM5OpU6fy7LPPEhsb6+2wugyZRy9EJ9HUdfeOrDavrU8IG1SEu8yHoh8Sqdwejn1PIFV7gin6MR5TWBkBY7ZRltGL/NX92LkD9nwfi91SRtIlafSKL0XTwNq7mPCJm8jLsrDprWFMPjYQp+bGP8JO4t92Mfi4AtzbYihYNozSP/vjl7SH4OO34HZDVZWG3a6x1HIyYwJ/Z8G42xiRuZbn5l2NrUpvV1xbrFhWpkmP+m5q4sSJbNiwgblz57J8+XISExN55JFHsNsbrmkRzSNn9EJ4kTeXaa39/NrRhV27FIawIiq3h4NBwxpdiK1fAZY+hZh8HWguRcHSYbhLfYnws9FnciYRccVoQEkx5Be4cVRD9d5gYksSWPmNhUuuOrQeIfObvuxO8yXi3LX6mbwCZdDQXIr9H4/GnR/AUZduYEzvLBJ2pPLryFMBiN+eyvqgo9m7eARaYKlco+/mdu/ezZ133sl///tfBg4cyHPPPcff/vY3b4fVqckZvRCdTGeoHjcY4Mm5JuIjg6gusWLpVYzB6iTouL8IPS0d3/i9GMwunKU+uMp98E/Yh9Xmxl7txr9m5kBtpX/tKn2DkqtwurUGp/MBDJqwG4sykfPxaCq2ReAssVHxVwQ5n4zGajQRllhA4V4L2w2RB5L8yLTfeWr+9Tz81p1MGLD1iBYNEl1D3759+fDDD1mxYgVWq5WzzjqLs846i7/++svboXU5kuiF8BJvL9Naa/lySN9fTP9jcin7cwBuhxljYCWucguuEh9wGTEYNHxDqgjoX4zBXHONvRnD5w31ASjYFkRUbw1/ezClv8ST+/EYylbH0TexnONvSqXv0YVUZEaRl3vwbH1D3NG8cfZNjMj6g2e+Gskztkd49nab1y99iPY3fvx41q9fz5NPPsn333/PkCFDePDBB6moqGj6xQKQoXshvKYtp9kdiYuvcPBjagFlBWZcBhfVxT6YgsvxjduHtW8BSlOYrRq2YAcV20OpTBlAUq9gch3NGz5vbFbAo09W4XPSoUV1mhs2fjSA4n02EifvqVOseNHQMv5RdB9q0fswZgz89hsHKvlEt5ednc1dd93FokWLiI2NZf78+UydOhUl3wFAqu6F6HRqp7Z5u3o8aXg12/dXYAovxS85C4OPA0duAJXbIjBYnQSM3Elgn0pwKXK+SsbfFcAr8wJY/t2RzRw43IFObkYQtvQEekdrDU8Z/PFHKCyEqVPB6YSdO+Goo9rnFyQ6ne+//56bb76Z1NRUJk+ezPPPP8/gwYO9HZbXyTV6ITqZjm6925j8fA1DUAVhUzbgE5uPNbIUn375BI3bgqvcSsXWSMq3hrH30+EYigM5/wwfJk8+8pkDh+tIWLIhmnvvNDe+qtxJJ+lJHuCVVyApCebMgfLyNv3dSKvdzumUU05h3bp1PPPMM/zyyy8MHTqU+++/n/I23v/dhZzRC+Elbd04p7VCetuxHL8B30G5B1f10cBdZaJ8SyTFPyQQEqpIGmzk7tvNbbaMa5v1E9i3D+6+G959F/r2hWeegfPPP+Ih/c7U70A0bu/evdxzzz28++679O3bl/nz53Peeef1yOF8OaMXopNpasGajqoeN1s1zEF2NJcB3Ao0QFMokxtbr1JCwyBnp43vV5iZMqXtpv21WT+BqCh45x346ScIDYULL4RZs444vs5SLCkOr3fv3rzzzjv8+OOPhISEcMEFFzBp0iTS09O9HVqnIWf0QnhRR7bebcwpEx1k+G7GP3EfLpemr2evwGhUlKVFEZGVRNIQvDLPv8WcTnj1VUhO1of3y8r0+/39W/xWnaVYUjSf0+nk5Zdf5oEHHqCiooLZs2fzwAMP4N+K/d8VyRm9EJ2QwQCTJ9P4teh25nbDqcdbKNvQl4pcH9wOI0aDAYNmwlnkQ/nGvhTaqzpsnv8RXxM3meCmm/QkD/Dgg5CQAB9+CC08qWnJKoOiczCZTMyaNYuMjAwuvfRS5s2bR0JCAh9++CHd8aS2uSTRC9FD1V6D/mBFAf6h1ZT+nED5XxGU7gyiLKMX9p+TMbusJF+1oUOGrtulgdCFF0JkJEybBuPHQ2pqs1/aWYolRcv16tWLt956i19++YXIyEimTZvGhAkT2Lx5s7dD8wpJ9EL0ULXXoAeel8aoy7eSeGou1vxeuDYOwr5uIOGmQAb/bTtGS90zodqe8wsXOdolnja9Jn7ccbBmDbz0EqxfDyNGwJtvNuulh5sVUJwSzYzpMmzf2Y0bN441a9bw4osv8ueffzJ8+HDuvPNOSktLvR1ah5JEL0QPtfADB0HDszGYNJQBIpOKGDl9G8ddn07iOdvZX+DEP6Ljhq494/F0xAcWRiPccANkZsLMmXDiifr9paWHHc7vLMWS4sgYjUZuvPFGMjMzufLKK3n66aeJj4/n/fff7zHD+ZLoheihmroGrVTrVolr7XX2dr8mHh6uz7mvbaxy+eVw8smwYUODT+9MqwyKIxcREcHrr7/Ob7/9RnR0NJdeeimnnHIKGzdu9HZo7U6+qkL0UE1dg06MM7Z46PpIrrN36DVxTYMzz4TNm+Hoo+HWW6Go6JCnebtYUrS9sWPHsnr1al599VU2bdrEyJEjue222yguPnR2RXchX1cheqimrkHffZulxUPXR3KdvUOviSsF11wDGRn63y+8APHxsGpV232G6LSMRiPXXnstmZmZ/P3vf+f5558nPj6ed955p1sO50uiF6KHauoadGva3B7JdXavXBMPC4OXX9YL9kaP1pM9gKNtCw1F5xQWFsYrr7zC77//TmxsLDNmzODEE08kJSXF26G1KWmYI0QP1tYNe450oZ7O0EAIlwuOPRaOOQYefRRCQjrog4U3ud1u3n77be655x4KCgq48cYbefTRRwkODvZ2aM3W6VavU0qFAh8CscAO4CJN0wobeJ4LqK2W2KVp2tlNvbcketHTuN36sPnCDxxe7WDXLbrJVVTovfNfflk/43/8cbjySrkw30MUFhbywAMP8PLLLxMWFsYTTzzBjBkzMHSB/d8ZO+PdC3yradpg4NuanxtSqWnaiJo/TSZ5IXqahgrgdgRmcMODBSSNdHD8+I5bda1bzD339YUFC+CPP/QK/Zkz4fjjITvb25GJDhASEsKCBQtYu3YtgwcP5uqrr+b444/nzz//9HZorebNRD8VWFhzeyFwjvdCEaLrql8AZwutwu5bhBq9kb3VBVT03nFI5Xt7Lb/antfZ68d88RUOHnkEpl3RTkvIjhgBP/8MCxeCzQYREfr93fBypzjUyJEj+emnn3j77bfZtm0bo0eP5sYbb6SgoMDbobWYN4fuizRNC665rYDC2p/rPc8JrAecwOOapn3ayPtdC1wL0K9fv1E7d+5sl7iF6GzqD5cXF0PWPieWYDsVO0Jxb4th5PRtB5a/fereUJZ/137Lr7bHdfb6S8b6htpJ+6ovpUUmIkfvITaxioqOWEK2tBROOAFuvlk/0+8Cw7niyBUVFfGPf/yDBQsWEBISwty5c5k5c2anG873ytC9UmqFUmpTA3+mej5P0482Gjvi6F8T+CXAs0qpoxp6kqZpr2maNlrTtNERtUfeQvQA9RvN5Be4MfpUoxRYQiuwl5iBg5XvTzxT3a7Lr7bH3PP6oxZlOb7YnW76XPgHWngB1cYOWkK2sBCCguDaa/WCvd9/b6cPEp1JcHAwzz33HOvWrSMpKYlrr72WY489ljVr1ng7tGZp10SvadoETdOGNvDnM2C/Uqo3QM3fOY28R3bN39uA74GR7RmzEF1N/UYzjmowmPTxa0eBL7bA6gOP+YXbSdviOmQKnAaUlmtURGZxxXX2dr2m35rLBvWn7WWnhOA/NAuDScPoU01+gf7i9urDf0C/fvDDD/Cf/8Du3Xqyv+YaqDp0loHofoYNG8YPP/zAf/7zH3bv3s0xxxzDtddeS15enrdDOyxvjjt8DsyouT0D+Kz+E5RSIUopa83tcOB4oGcuPyREI+oXwFnM4HYa0FyKsk0xRA8/eE2xPM+GUnVHADQgK0sja58Twopx2srbbTna1nbOqz9qYS8xYwmtAPSDGsfBY5n2X0JWKbj0Ur3ZzuzZepGepQsUGYo2oZTi0ksvJSMjg9mzZ/Pmm28SHx/PK6+8gsvl8nZ4DfJmon8cOF0ptQWYUPMzSqnRSqk3ap6TCKxVSqUA36Ffo5dEL4SH+gVwfgYfyrZEkPNVMiGRTiISioCDle+JccY6IwAlxVBS7sISbMddbsU3rP2GwVvbOa/+qIUtsBpHgW/NdhmwmA8+t8OWkA0MhKefhi+/1JP/rl36gjnSXa9HCAwM5OmnnyYlJYVhw4Zxww03HGiv29l4LdFrmpavadp4TdMG1wzxF9Tcv1bTtL/X3P5V07RkTdOG1/z9b2/FK0RnVX/xFcv6YQTtSMTfFUBEXDH2orqV73fdWncEoPaaPu66IwDtMQze2s559UctoocXUrYpBrdT4ao0Exaq/1fmlWl8tcUHu3bB9u0wbhxcfTXkNHg1UnQzQ4YMYeXKlSxatIh9+/Zx3HHHcfXVV5PTifZ/5yoZFEK0Sv0CuM1/WnntqQAGlB7auvaMM+qOAJQXWLFnBZPzdd0RAGj7YfDWrlBXf9TCP7ICm8nAnv+NQuWFYnZ1giVkTzgB0tP1ZjvvvgtxcfDSS14IRHQ0pRTTpk0jPT2du+66i3fffZf4+HgWLFiA0+n0dnjSAleInshzCtzKH1y4A8oYeMJ+IhKKUB6H/23dza7+VEDNDbnpIWSnhFC634cQsw8vz7c12NGv/rS9mD6KoXEWNmU6yNrjpXa5jUlPh1mzYMAAeO01LwcjOlp6ejqzZs1ixYoVDB8+nBdffJHjjz++3T+307XAbU+S6IVoviVL4I65BQw4N63OkHrtvPtn5oQyeXLbf5YyaKR92Y/CXBN+Q7NQRhfBRn+cW9t5LnxH0TR9cRyrVV80Z8ECeOIJiIrydmSiA2iaxscff8zs2bPJysriiiuuYN68efTq1avdPrMztsAVQnQCbdHNrqkpc7WPv73IQXG2H6tfTSD1q2gK9pkJPW0z5uAKQqOc9BvZAXPhO4pSepIHWL8eFi3SV8d79lmorj7cK0U3oJTiggsuID09nfvuu49FixYRFxfHc8891+HD+XJGL4RocFh8yGALqVv0YfHDLZJTv2td/U578/5l4q776na127MunG0/9yJ43FbC44oICzUQGAS1tfJdZgGclsjMhFtvhW++gaFD4cUX4aSTvB2V6CCZmZnccsstLF26lOTkZBYsWMBJbbz/5YxeCNEoz2K+H5dZ6d3LwKLlBewManque1NT5ubOrfu4b3gVg07PJqB3BdawcsJCDQR5JHnogLnw3hAXB19/DYsX6610f/7Z2xGJDhQXF8eSJUv45JNPKC4u5uSTT2b58uUd8tmS6IUQdbR0rntTU+b+/Z69wcdtQQ5cdvOBrnaeOmwufEdTCs45BzZvhjvu0O/79FN46ikZzu8BlFKce+65pKWl8fzzz3Paaad1yOdKohdC1NHSue5NTZkrKmn48ejhhVRsjqbK3oWXtG0tX9+D1++XLIG77oLhw2HlSu/GJTqEr68vs2bNwmg0dsjnSaIXQtTR0rnu9bvWeSrPsxEc2PDjEQmF+FgVRSuT2nxJ2y7l1Vfh88/Bbofx4+HiiyEry9tRiW5EEr0Qoo6mEnf9IfX6Xetq1Z6Zz7zU1uDjmlsR5GPhtsvCiC05tLFPW02ta80iOh3urLMgNRUeekhP+j/95O2IRDdi8nYAQojOZcY0C3fMjSZ0YMkh8+qLU6KZMafukPqkSbBsZSBLFyc2WHV/331QUNLw42ccF8icOWAwHDpM73br9QILP3CQlX34yv/GHDIjYKCdnXk27pgbzfLv9Ln6cOSf0yZ8fOAf/9DXuY+O1u97+2399umnd2AgoruR6XVCiDqami7X0Nl2/el59bvUNfV4W8TQkKaaAT11byjLvzvyz2kXbjeMGqXPwT//fHjmGX2ZXCEaIZ3xhBDN1tLE3Nbaqltf/Za7nvIyg7CkJZDrKO2QroCtYrfrK+Q99phesX///Xq1fm0hnxAeZB69EKLZ6i+Ss2ihhcmTO24ou7Wr3NXXVGFh2hZXm3xOu7HZ9OSelqbvkPvvh5QU78YkuhxJ9EKIFumI4rbWrnJXX1OFhUq1zee0u/794eOPYdMmGDtWv++NN2DHDq+GJboGSfRCiGarvXZ+x9wCdgY23TWvtVpa+d+YpmYEJMYZ2+RzOsyQIfrf+flw++2QmAiPPKIP8QvRCEn0Qohma2nXvNZqKkE3t5lOUwv23HVr23xOhwsL07vrnX22Xqk/ZAh8+aW3oxKdlBTjCSGaranitrZaiKatqu5r36uxwkJou8/xmm+/hVmzYPt2fSi/HZdBFZ2bVN0LIY7YCROqsJ24AZ/QqkMeqyywYv9pGD+vaJuK8I6q/Pf2DIM24XDAH3/AcceBpsHChXDRRXqrXdFjSKIXQhyxjjqjF0dgzRq9YK9/f3j2WZg6VZ+aJ7o9mV4nhDhibXXtXLSjMWPgu+/A3x/OPRemTIEtW7wdlfAiSfRCiGZrqritxyxE09mdcgqsWwfz58Ovv+otdJ1Ob0clvESG7oUQLdItrmn3JPv2wdatcMIJ+pr3y5bpZ/kynN/tNDZ0L4vaCCFapLZr3uTJMkzfHtpiMZ86oqL0PwDvvqsvmnP66fDCCxAf36axi85Jjr+FEKKTaPeGRFdcAc89B7/9BsnJcO+9UFbWJrGLzksSvRBCdBLt3pDIZIJbboHMTLj0UnjiCX0anujWJNELIbq1jujN31baajGfJvXqBW+9Bb/8Ag8/rN9XWKh32xPdjiR6IUS31VG9+dtKWy3m02zjxunT8UBfCnf4cLjzTigtbdvPEV4liV4I0W11VG/+ttJWi/m0yj33wJVXwtNP60V677+vd9kTXZ4keiFEt9VhQ+FtxKsNiSIi4PXX9UK96Gj9Gv4DD7Tf54kOI9PrhBDdVla2ht/AwwyFp3WuM9ZJk2DZykCWLk5scJGdDmlINHYsrF4N//43jB+v37d3r943PyioAwIQbU3O6IUQ3ZZXh8JbwWCAp58w8cycUGJL4rH/NIzYkniemRPasSvpGY1w7bVw1FH6z9ddpw/nv/OODOd3QZLohRDdVlfszV/bkGjRQgs/r7CyaKGFyZO93HXwwQchNhZmzIATT4SUFC8GI1pKEr0QotuS3vxtZPRovWf+v/8NGRlw9NHw8cfejko0k/S6F0J0a9Kbv40VFsLcuTBnDgQH6730IyPll9kJyHr0Qggh2pbTCaNG6YV6L76on+kLr5H16IUQQrQtgwFuvx22bdOH92+4AQoKvB2VqEcSvRBCiNYxGPQCvYwMmDULXnsN4uJg40ZvRyY8SKIXQghxZIKD9VXx1q2DqVMhIUG/v6TEq2EJnSR6IYQQbWPYML0y32yG4mI94V97LeTleTuyHk0SvRBCiLZnMMD06fDmm3qznVdeAZfL21H1SJLohRBCtL2AAH2BnJQU/Uz/hhvgmGOgqMjbkfU4kuiFEEK0nyFDYOVKWLRIXwa3tl++o3MtKNSdSaIXQgjRvpSCadP06/dKwY4dMGCAPvdehvPbnSR6IYQQHcvthsREuPlmff79L794O6JuTRK9EEKIjjVwICxfDv/9r16Rf8IJcPXVsjJeO5FEL4QQouMpBRdeCOnpcN99+rV7VbPKoNvt3di6GUn0QgghvMfPD/71L5g/X/951SoYORJ+/NG7cXUjkuiFEEJ0HpWV+hS8k0+GSy+FPXu8HVGXJ4leCCFE53HaaZCWBv/3f/DRR3qznZde8nZUXZokeiGEEJ2Lry88+iikpsJJJ0FZmbcj6tJM3g5ACCGEaNCgQfDllwer8T/4AD79VO+4Fx3t1dC6EjmjF0II0XkppffNB8jJ0RN9fDzMmyfd9ZpJEr0QQoiu4ZZbYPNmGD8e7rlHb6n7ww/ejqrTk0QvhBCi6xg4ED77DL76CqqrITfX2xF1enKNXgghRNczZYp+Zm+x6D/Pnw92O9x+O1it3o2tk5EzeiGEEF2T1Xqwm96ff8KcOZCcDEuXejeuTkYSvRBCiK7v3Xfhm2/025Mnw7nnws6d3o2pk5BEL4QQonuYNAk2btRb6q5YoVfpC0n0QgghuhGrVV8kJysLxozR73v4YX0+fg8liV4IIUT3ExSk/11ZqS+He9ZZ+p9t27wblxdIohdCCNF9+fjAunV6g53vvoOkJHjoIf0AoIeQRC+EEKJ7s1jgrrsgIwPOOw+eegry8rwdVYeRRC+EEKJniI6G99/XE37fvnoP/QcfhK1bvR1Zu5JEL4QQomepXRDnr7/g2WdhyBB9WdyKCq+G1V4k0QshhOiZBg3Sz+4vuggeewwSE+Hjjw+ultdNSKIXQgjRc/XurTfb+fFHvVL/llu6XaGeJHohhBDixBP1NrrffQe+vvoSuPPmQVmZtyM7YpLohRBCCACTCeLi9NvLl+tL4SYm6vPwu/BwviR6IYQQor4zz4RffoHwcLj4Yjj9dEhL83ZUrSKJXgghhGjIuHGwdi0sWAB//AFXXdUlz+wl0QshhBCNMRrhppsgMxPefltfFregAD78sMskfUn0QgghRFMiIiAhQb/9yiswbRqcdhps2uTduJpBEr0QQgjREvfcoyf7DRtgxAi4/XYoKfF2VI2SRC+EEEK0hNEI112nD+fPnKl317vtNm9H1SiTtwMQQgghuqSwMHj1VbjmGn1oH/S2umVlMHy4d2PzIGf0QgghxJEYPRr699dv/9//wdFH6x32ioq8GlYtSfRCCCFEW3nxRbj+ev3v+Hi9Ut/t9mpIkuiFEMIL3G5YsgSmzXBwwoQqps1wsGSJ13OCOFKhoXqSX7sWjjpKn3v//PNeDUmu0QshRAdzu+GOe5ws/a2EoOHZ+A20szPPxh1zo1n+XSBPPW7CIKdhXdvIkfDzz/DeezB1qn7f5s0QFaUfDHQg+SoJIUQHW7oUlv5WwoBz0wiPK8YntIrwuGIGnJvGN6tLWLbM2xGKNmEwwOWXQ2Cg3lxn+nR9OP+NNzp06EYSvRBCdLCFHzgIGp6NwVS3s5rBpBE0PJuFixxeiky0G6XgnXf0pjvXXKNPz+sgMnQvhBAdLCtbw2+gvcHH/MLt7E7rGq1VRQsNH66ve//ee/qZfQeRRC+EEB0sJlqxM8+GT2jVIY+V59mIjVZeiEp0CKXgsss69CNl6F4IITrYjGkWilOicTvrJnS3U1GcEs2M6RYvRSa6IzmjF0KIDjZpEixbGcjSxYl61X24nfI8G8Up0Uw+NpCJE70doehOJNELIUQHMxjg6SdMTFoWysJF/uxO04iNVsyYY2HiRGRqnWhTXkv0SqkLgYeARGCspmlrG3neZOA5wAi8oWna4x0WpBBCtBODASZPhsmTZZhetC9vHjduAs4DfmzsCUopI/AicAaQBExXSiV1THhCCCFE1+e1M3pN09IAlDpsdelYYKumadtqnvsBMBXY3O4BCiGEEN1AZ78SFA3s9vg5q+a+QyilrlVKrVVKrc3Nze2Q4IQQQojOrl3P6JVSK4CoBh66X9O0z9ryszRNew14DWD06NHSbUIIIYSgnRO9pmkTjvAtsoG+Hj/H1NwnhBBCiGbo7EP3a4DBSqkBSikLMA343MsxCSGEEF2G1xK9UupcpVQWcBzwlVJqac39fZRSXwNomuYEbgaWAmnAfzVNS/VWzEIIIURX482q+8XA4gbu3wNM8fj5a+DrDgxNCCGE6DY6+9C9EEIIIY6AJHohhBCiG5NEL4QQQnRjkuiFEEKIbkwSvRBCCNGNSaIXQgghujGlad2vW6xSKhfY2cZvGw7ktfF7ekN32Q6Qbemsusu2dJftANmWzqg9tqO/pmkR9e/slom+PSil1mqaNtrbcRyp7rIdINvSWXWXbeku2wGyLZ1RR26HDN0LIYQQ3ZgkeiGEEKIbk0TffK95O4A20l22A2RbOqvusi3dZTtAtqUz6rDtkGv0QgghRDcmZ/RCCCFENyaJ3oNS6kKlVKpSyq2UarQaUik1WSmVoZTaqpS61+P+AUqp32ru/1ApZemYyA+JL1QptVwptaXm75AGnnOqUmq9xx+7UuqcmsfeVkpt93hsREdvg0ecTW5LzfNcHvF+7nF/p9gnNbE0Z7+MUEqtqvkeblBKXezxmFf3S2Pfe4/HrTW/4601v/NYj8fuq7k/Qyk1qSPjbkgztuV2pdTmmn3wrVKqv8djDX7XvKUZ23KlUirXI+a/ezw2o+b7uEUpNaNjIz8kzqa2Y77HNmQqpYo8Huts++RNpVSOUmpTI48rpdTzNdu6QSl1tMdjbb9PNE2TPzV/gEQgHvgeGN3Ic4zAX8BAwAKkAEk1j/0XmFZz+xXgBi9txzzg3prb9wJPNPH8UKAA8K35+W3gAm/vj5ZsC1DWyP2dYp80d1uAOGBwze0+wF4g2Nv75XDfe4/n3Ai8UnN7GvBhze2kmudbgQE172P04n5ozrac6vHv4YbabTncd60Tb8uVwIIGXhsKbKv5O6Tmdkhn3Y56z58FvNkZ90lNPCcBRwObGnl8CrAEUMCxwG/tuU/kjN6DpmlpmqZlNPG0scBWTdO2aZrmAD4ApiqlFHAa8FHN8xYC57RbsIc3tebzmxvHBcASTdMq2jOoVmrpthzQyfYJNGNbNE3L1DRtS83tPUAOcEgDDC9o8Htf7zme2/cRML5mH0wFPtA0rUrTtO3A1pr385Ymt0XTtO88/j2sBmI6OMbmas5+acwkYLmmaQWaphUCy4HJ7RRnU1q6HdOBRR0SWStomvYj+slTY6YC72i61UCwUqo37bRPJNG3XDSw2+PnrJr7woAiTdOc9e73hl6apu2tub0P6NXE86dx6D+ax2qGlOYrpaxtHmHzNXdbbEqptUqp1bWXIOhc+wRauF+UUmPRz27+8rjbW/ulse99g8+p+Z0Xo++D5ry2I7U0npnoZ1+1GvqueUtzt+X8mu/NR0qpvi18bUdodiw1l1EGACs97u5M+6Q5GtvedtknpiN9g65GKbUCiGrgofs1Tfuso+NprcNth+cPmqZpSqlGp1bUHEUmA0s97r4PPRFZ0KeA3AM8cqQxHyaGttiW/pqmZSulBgIrlVIb0RNNh2rj/fIuMEPTNHfN3R26XwQopS4DRgMne9x9yHdN07S/Gn6HTuELYJGmaVVKqevQR11O83JMR2Ia8JGmaS6P+7raPulQPS7Ra5o24QjfIhvo6/FzTM19+ejDL6aas5na+9vF4bZDKbVfKdVb07S9NQkj5zBvdRGwWNO0ao/3rj3rrFJKvQXc2SZBN6IttkXTtOyav7cppb4HRgIf04H7pObzj3hblFKBwFfoB5+rPd67Q/dLPY197xt6TpZSygQEof+7aM5rO1Kz4lFKTUA/QDtZ07Sq2vsb+a55K6k0uS2apuV7/PgGeq1I7WtPqffa79s8wuZpyXdkGnCT5x2dbJ80R2Pb2y77RIbuW24NMFjp1dwW9C/d55peSfEd+vVugBmAt0YIPq/5/ObEcci1rpokVHuN+xygwcrRDtLktiilQmqHsZVS4cDxwOZOtk+gedtiARajX7/7qN5j3twvDX7v6z3Hc/suAFbW7IPPgWlKr8ofAAwGfu+guBvS5LYopUYCrwJna5qW43F/g9+1Dov8UM3Zlt4eP54NpNXcXgpMrNmmEGAidUf2OlJzvl8opRLQi9RWedzX2fZJc3wOXFFTfX8sUFxzIN8++6Stqgy7wx/gXPRrIlXAfmBpzf19gK89njcFyEQ/Yrzf4/6B6P+BbQX+B1i9tB1hwLfAFmAFEFpz/2jgDY/nxaIfQRrqvX4lsBE9kfwH8PfiPmlyW4BxNfGm1Pw9s7PtkxZsy2VANbDe48+IzrBfGvreo186OLvmtq3md7y15nc+0OO199e8LgM4w1v7oAXbsqLm/4DaffB5U9+1Trwtc4HUmpi/AxI8Xnt1zf7aClzVmbej5ueHgMfrva4z7pNF6DNmqtFzykzgeuD6mscV8GLNtm7EY5ZXe+wT6YwnhBBCdGMydC+EEEJ0Y5LohRBCiG5MEr0QQgjRjUmiF0IIIboxSfRCCCFENyaJXgghhOjGJNEL0cOoukt6rlcey8m24D3OUUoltUN4np8RppT6TilVppRa0J6fJUR31uNa4AohqNQ0bcQRvsc5wJe0oAOZRyvi5rIDDwBDa/4IIVpBzuiFECilRimlflBK/aGUWurRbvcapdQapVSKUupjpZSvUmoceivVJ2tGBI5SSn2vlBpd85pwpdSOmttXKqU+V0qtBL5VSvkppd5USv2ulFqnlGp0KVJN08o1TfsZPeELIVpJEr0QPY+Px7D9YqWUGXgBuEDTtFHAm8BjNc/9RNO0MZqmDUfvkT5T07Rf0Xt136Vp2git6VXCjq5575PRW+Gu1DRtLHAq+sGCXztsoxCihgzdC9Hz1Bm6V0rVDo0v19fLwYjepxtgqFLqn0Aw4E/rFthYrmlaQc3ticDZSqnalfdsQD8OLrQihGhjkuiFEApI1TTtuAYeexs4R9O0FKXUldRdQtOTk4MjhLZ6j5XX+6zzNU3LaHW0QogWkaF7IUQGEKGUOg5AKWVWSg2peSwA2FszvH+px2tKax6rtQMYVXP7Ahq3FJhVs9Ru7XKwQoh2JIleiB5O0zQHenJ+QimVgr4s67iahx8AfgN+AdI9XvYBcFdNQd1RwFPADUqpdUD4YT7uUcAMbFBKpdb83Kiaor5ngCuVUlntPaVPiO5IlqkVQgghujE5oxdCCCG6MSnGE0J4lVJqEvBEvbu3a5p2rjfiEaK7kaF7IYQQohuToXshhBCiG5NEL4QQQnRjkuiFEEKIbkwSvRBCCNGNSaIXQgghurH/B82i/HTj91BxAAAAAElFTkSuQmCC",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "## For Contributing, refer to expectedoutput4.html in the expected outputs folder.\n",
- "\n",
- "plt.figure(figsize=(8,8))\n",
- "plt.xlabel(\"Feature_1\")\n",
- "plt.ylabel(\"Feature_2\")\n",
- "plt.scatter(df_train[\"Feature_1\"][:200],df_train[\"Feature_2\"][:200], label=\"Class A\", edgecolor = \"b\", s = 60, alpha = 0.8)\n",
- "plt.scatter(df_train[\"Feature_1\"][200:],df_train[\"Feature_2\"][200:], label=\"Class B\", marker=\"^\", edgecolor = \"r\", s =60, alpha = 0.8)\n",
- "xt=np.linspace(-1,1,10)\n",
- "y= -1 * (b+W[0]*xt)/W[1]\n",
- "y1= (1-b-W[0]*xt)/W[1]\n",
- "y2= (-1-b-W[0]*xt)/W[1]\n",
- "plt.plot(xt,y, c = 'black', label=\"Separating Hyperplane\")\n",
- "plt.plot(xt,y2,c='r',linestyle=\"--\",label=\"Negative Hyperplane\")\n",
- "plt.plot(xt,y1,c='g',linestyle=\"--\",label=\"Positive Hyperplane\")\n",
- "plt.legend()\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Mid penelty SVM"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Training the model"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 10,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "400\n"
- ]
- }
- ],
- "source": [
- "sv=SVM(10)\n",
- "W,b,loss_list=sv.fit(X, Y)\n",
- "W=W.reshape((-1,))"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Visualising the error "
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 11,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "## For Contributing, refer to expectedoutput5.html in the expected outputs folder.\n",
- "\n",
- "plt.figure(figsize=(8,8))\n",
- "plt.xlabel(\"Iteration\")\n",
- "plt.ylabel(\"Loss\")\n",
- "plt.plot(loss_list,label=\"Mid Penalty\",c='y')\n",
- "plt.legend()\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Visualising the decision boundry over iterations"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 12,
- "metadata": {},
- "outputs": [],
- "source": [
- "## For Contributing, refer to expectedoutput6.html in the expected outputs folder.\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Plotting the decision boundry"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 13,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "## For Contributing, refer to expectedoutput7.html in the expected outputs folder.\n",
- "\n",
- "plt.figure(figsize=(8,8))\n",
- "plt.xlabel(\"Feature_1\")\n",
- "plt.ylabel(\"Feature_2\")\n",
- "plt.scatter(df_train[\"Feature_1\"][:200],df_train[\"Feature_2\"][:200], label=\"Class A\", edgecolor = \"b\", s = 60, alpha = 0.8)\n",
- "plt.scatter(df_train[\"Feature_1\"][200:],df_train[\"Feature_2\"][200:], label=\"Class B\", marker=\"^\", edgecolor = \"r\", s =60, alpha = 0.8)\n",
- "xt=np.linspace(-1,1,10)\n",
- "y= -1 * (b+W[0]*xt)/W[1]\n",
- "y1= (1-b-W[0]*xt)/W[1]\n",
- "y2= (-1-b-W[0]*xt)/W[1]\n",
- "plt.plot(xt,y, c = 'black', label=\"Separating Hyperplane\")\n",
- "plt.plot(xt,y2,c='r',linestyle=\"--\",label=\"Negative Hyperplane\")\n",
- "plt.plot(xt,y1,c='g',linestyle=\"--\",label=\"Positive Hyperplane\")\n",
- "plt.legend()\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## High penelty SVM"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Training the model"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 14,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "400\n"
- ]
- }
- ],
- "source": [
- "sv=SVM(1000)\n",
- "W,b,loss_list=sv.fit(X, Y)\n",
- "W=W.reshape((-1,))"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Visualising the error "
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 15,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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- "metadata": {
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- "output_type": "display_data"
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- "source": [
- "## For Contributing, refer to expectedoutput8.html in the expected outputs folder.\n",
- "\n",
- "plt.figure(figsize=(8,8))\n",
- "plt.xlabel(\"Iteration\")\n",
- "plt.ylabel(\"Loss\")\n",
- "plt.plot(loss_list,label=\"High Penalty\",c='r')\n",
- "plt.legend()\n",
- "plt.show()"
- ]
- },
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+ "gridcolor": "white",
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+ "baxis": {
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+ "linecolor": "white",
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+ "bgcolor": "#E5ECF6",
+ "caxis": {
+ "gridcolor": "white",
+ "linecolor": "white",
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+ }
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+ "x": 0.05
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+ "gridcolor": "white",
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+ },
+ "title": {
+ "text": "Visualising the convergence of decision boundary (Low Penalty)"
+ },
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+ {
+ "buttons": [
+ {
+ "args": [
+ null,
+ {
+ "frame": {
+ "duration": 500,
+ "redraw": false
+ },
+ "fromcurrent": true,
+ "transition": {
+ "duration": 300,
+ "easing": "quadratic-in-out"
+ }
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+ "label": "Play",
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+ {
+ "args": [
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+ {
+ "frame": {
+ "duration": 0,
+ "redraw": false
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+ "mode": "immediate",
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+ }
+ ],
+ "label": "Pause",
+ "method": "animate"
+ }
+ ],
+ "direction": "left",
+ "pad": {
+ "r": 10,
+ "t": 87
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+ "showactive": false,
+ "type": "buttons",
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+ }
+ ],
+ "width": 800,
+ "xaxis": {
+ "range": [
+ -1.1,
+ 1.1
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+ "title": {
+ "text": "Feature_1"
+ }
+ },
+ "yaxis": {
+ "range": [
+ -1.1,
+ 1.1
+ ],
+ "title": {
+ "text": "Feature_2"
+ }
+ }
+ }
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+ "metadata": {},
+ "output_type": "display_data"
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+ ],
+ "source": [
+ "## For Contributing, refer to expectedoutput3.html in the expected outputs folder.\n",
+ "np.random.seed(42)\n",
+ "iterations = np.arange(1,301) \n",
+ "xx = np.linspace(-1,1,10)\n",
+ "\n",
+ "sliders_dict = {\n",
+ " \"active\": 0,\n",
+ " \"yanchor\": \"top\",\n",
+ " \"xanchor\": \"left\",\n",
+ " \"currentvalue\": {\n",
+ " \"font\": {\"size\": 20},\n",
+ " \"prefix\": \"No. of Iterations:\",\n",
+ " \"visible\": True,\n",
+ " \"xanchor\": \"right\"\n",
+ " },\n",
+ " \"transition\": {\"duration\": 300, \"easing\": \"cubic-in-out\"},\n",
+ " \"pad\": {\"b\": 10, \"t\": 50},\n",
+ " \"len\": 0.9,\n",
+ " \"x\": 0.1,\n",
+ " \"y\": 0,\n",
+ " \"steps\": []\n",
+ "}\n",
+ "\n",
+ "for i in range(len(iterations)):\n",
+ " slider_step = {'args': [\n",
+ " [iterations[i]],{\n",
+ " 'frame': {'duration': 300, 'redraw': True},\n",
+ " 'mode': 'immediate',\n",
+ " 'transition': {'duration': 300}\n",
+ " }],\n",
+ " 'label': str(iterations[i]),\n",
+ " 'method': 'animate'}\n",
+ " sliders_dict['steps'].append(slider_step)\n",
+ "\n",
+ " \n",
+ "# make figure\n",
+ "fig_dict = {\n",
+ "# make data\n",
+ " \"data\": [go.Scatter(x = df_train[\"Feature_1\"][:200], \n",
+ " y = df_train[\"Feature_2\"][:200], \n",
+ " name=\"Class A\",\n",
+ " mode=\"markers\", \n",
+ " marker_color='rgba(84, 138, 252, 0.35)', \n",
+ " marker_line_color='rgba(26, 9, 243, 1)', \n",
+ " marker_size = 10, marker_line_width = 1, \n",
+ " marker_symbol='circle', \n",
+ " hovertemplate = 'Feature_1: %{x:.5f}
Feature_2: %{y:.5f} Class A'\n",
+ " ),\n",
+ " go.Scatter(x = df_train[\"Feature_1\"][200:], \n",
+ " y=df_train[\"Feature_2\"][200:], \n",
+ " name=\"Class B\", \n",
+ " mode=\"markers\", \n",
+ " marker_color='rgba(255, 117, 0, 0.35)',\n",
+ " marker_line_color='rgba(255, 73, 0, 1)', \n",
+ " marker_size = 10, \n",
+ " marker_line_width = 1,\n",
+ " marker_symbol='star-triangle-up', \n",
+ " hovertemplate = 'Feature_1: %{x:.5f}
Feature_2: %{y:.5f} Class B'\n",
+ " ), \n",
+ " go.Scatter(x = xx, \n",
+ " y = -1*(theta_list[0][2]+xx*theta_list[0][0])/theta_list[0][1], \n",
+ " mode=\"lines\", \n",
+ " name=\"Seperating Hyperplane\", hoverinfo='skip',line=dict(color='black', width=2)),\n",
+ " go.Scatter(x = xx, \n",
+ " y = (1 -theta_list[0][2] - xx*theta_list[0][0])/theta_list[0][1], \n",
+ " mode=\"lines\", \n",
+ " name=\"Positive Hyperplane\", hoverinfo='skip',line=dict(color='green', width=2,\n",
+ " dash='dashdot')),\n",
+ " go.Scatter(x = xx, \n",
+ " y =(-1-theta_list[0][2]-xx*theta_list[0][0])/theta_list[0][1], \n",
+ " mode=\"lines\", \n",
+ " name=\"Negative Hyperplane\", hoverinfo='skip',line=dict(color='red', width=2,\n",
+ " dash='dashdot')),\n",
+ " ],\n",
+ " \n",
+ " \"layout\": {},\n",
+ " \"frames\": [go.Frame(data = [go.Scatter(x = df_train[\"Feature_1\"][:200], \n",
+ " y = df_train[\"Feature_2\"][:200], \n",
+ " name=\"Class A\",\n",
+ " mode=\"markers\", \n",
+ " marker_color='rgba(84, 138, 252, 0.35)', \n",
+ " marker_line_color='rgba(26, 9, 243, 1)', \n",
+ " marker_size = 10, marker_line_width = 1, \n",
+ " marker_symbol='circle', \n",
+ " hovertemplate = 'Feature_1: %{x:.5f}
Feature_2: %{y:.5f} Class A'\n",
+ " ),\n",
+ " go.Scatter(x = df_train[\"Feature_1\"][200:], \n",
+ " y=df_train[\"Feature_2\"][200:], \n",
+ " name=\"Class B\", \n",
+ " mode=\"markers\", \n",
+ " marker_color='rgba(255, 117, 0, 0.35)',\n",
+ " marker_line_color='rgba(255, 73, 0, 1)', \n",
+ " marker_size = 10, \n",
+ " marker_line_width = 1,\n",
+ " marker_symbol='star-triangle-up', \n",
+ " hovertemplate = 'Feature_1: %{x:.5f}
Feature_2: %{y:.5f} Class B'\n",
+ " ), \n",
+ " go.Scatter(x = xx, \n",
+ " y = -1*(theta_list[i][2]+xx*theta_list[i][0])/theta_list[i][1], \n",
+ " mode=\"lines\", \n",
+ " name=\"Seperating Hyperplane\", hoverinfo='skip',line=dict(color='black', width=2)),\n",
+ " go.Scatter(x = xx, \n",
+ " y = (1 -theta_list[i][2]-xx*theta_list[i][0])/theta_list[i][1], \n",
+ " mode=\"lines\", \n",
+ " name=\"Positive Hyperplane\", hoverinfo='skip',line=dict(color='green', width=2,\n",
+ " dash='dashdot')),\n",
+ " go.Scatter(x = xx, \n",
+ " y = (-1 -theta_list[i][2]-xx*theta_list[i][0])/theta_list[i][1], \n",
+ " mode=\"lines\", \n",
+ " name=\"Negative Hyperplane\", hoverinfo='skip',line=dict(color='red', width=2,\n",
+ " dash='dashdot'))], name = str(iterations[i])) for i in range(1,len(iterations)) \n",
+ " ]\n",
+ "}\n",
+ "\n",
+ "# make layout\n",
+ "fig_dict[\"layout\"][\"updatemenus\"] = [\n",
+ " {\n",
+ " \"buttons\": [\n",
+ " {\n",
+ " \"args\": [None, {\"frame\": {\"duration\": 500, \"redraw\": False},\n",
+ " \"fromcurrent\": True, \"transition\": {\"duration\": 300,\n",
+ " \"easing\": \"quadratic-in-out\"}}],\n",
+ " \"label\": \"Play\",\n",
+ " \"method\": \"animate\"\n",
+ " },\n",
+ " {\n",
+ " \"args\": [[None], {\"frame\": {\"duration\": 0, \"redraw\": False},\n",
+ " \"mode\": \"immediate\",\n",
+ " \"transition\": {\"duration\": 0}}],\n",
+ " \"label\": \"Pause\",\n",
+ " \"method\": \"animate\"\n",
+ " }\n",
+ " ],\n",
+ " \"direction\": \"left\",\n",
+ " \"pad\": {\"r\": 10, \"t\": 87},\n",
+ " \"showactive\": False,\n",
+ " \"type\": \"buttons\",\n",
+ " \"x\": 0.1,\n",
+ " \"xanchor\": \"right\",\n",
+ " \"y\": 0,\n",
+ " \"yanchor\": \"top\"\n",
+ " }\n",
+ "]\n",
+ "\n",
+ "\n",
+ "fig_dict[\"layout\"][\"sliders\"] = [sliders_dict]\n",
+ "fig = go.Figure(fig_dict)\n",
+ "\n",
+ "fig.update_layout( width=800, height=800, \n",
+ " xaxis_title=\"Feature_1\", yaxis_title=\"Feature_2\", \n",
+ " xaxis_range = [-1.1,1.1],\n",
+ " yaxis_range = [-1.1, 1.1],\n",
+ " title = \"Visualising the convergence of decision boundary (Low Penalty)\")\n",
+ "fig.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Plotting the decision boundry"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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9ugKwJnANtxNvW1gyiURyNzFz5sxc0fdLlizh2LFjtG/fnjZt2vDll18C8H//93/s2LGDtm3bsn79eurXr4+TkxODBw8mIyMDHx8f5syZQ7du3bKu9b///Y/27dtnBePlZODAgezdu5f+/ftjbW0NqG73Nm3a0LFjR9q2bcuzzz5bqoj3xx57jDt37mS56k0U1Gr3zTffJD09nfbt2+Pr68ubb75Z6HW7dOnC1KlT8fHxoVmzZgwfPjzX8aLGojAKG++KRja1sQCRSZE0+aQJVlor3u7zNlO6TpHufImkBlJdm9qkpaWh1WrR6XQcOnSI559/vtKsz5Lyyy+/sGnTJn744YesfX369GHRokV07pyvv4tZ7Nmzh0WLFvHHH3+Ul5jlTkma2kjtYgHqONTh5LMneeHPF5ixfQbfnfyOpfcv5d4m91paNIlEIuH69euMHj0ao9GItbV1riC3qsS0adPYtm0bW7dutbQoVRpp0VsQIQQbL2zkxe0vEpEUwfUZ16njUMfSYkkkknKiulr0kqqPbFNbTVAUhRE+IwiaEsQf4/7IUvK/nv+VdEPBQS0SiUQikZQEiyt6RVG+VxQlQlGUs4UcVxRFWaIoyiVFUQIVRelY2TJWNPZW9vRr3g+AQzcOMXL9SPy/8mdP6B7LCiaRSCSSao/FFT2wAhhcxPEhQKvM7X/AF5Ugk8Xo1qgbm8ZuIjk9mb4r+zLu13GEx4dbWiyJRCKRVFMsruiFEPuAmCLe8hCwKrPC32GglqIoDSpHuspHURSGeQ3j/OTzzL13LhuDNtJ7RW8MRoOlRZNIJBJJNcTiit4MPIAbOV6HZe6r0dhZ2fFW37c4N/kcXw79Eq1GS4YxgwPXD1haNIlEUo3QarVZzV1GjRpFcnJyic6/efNmVunXU6dO5Ypw37x5M++//36ZZSyo9WyfPn2wVFD1nj17skrY1gSqg6I3C0VR/qcoyjFFUY5FRkZaWpxyo4VrC/o37w/A8pPL6bW8F2N+GUNYfJiFJZNIJNUBU634s2fPYm1tXeIiLQ0bNsyqR59X0Q8bNow5c+aUq7yVRU1sR1sY1UHRhwOeOV43ytyXCyHE10KIzkKIznXq1MwUtSf8nuCtPm+xOXgz3ku9+eDAB+gNekuLJZFIqgm9evXi0qVLxMTE8PDDD9O+fXu6detGYGAgAHv37sXf3x9/f386dOhAQkICoaGhtG3bFr1ez9y5c/npp5/w9/fnp59+yrLE4+LiaNKkSVYr16SkJDw9PUlPT+fy5csMHjyYTp060atXLy5cuFAimb///ntmzJiR9fqbb77hxRdfJDQ0FG9vbx577DF8fHwYOXJklrfi+PHj9O7dm06dOjFo0CBu3boFqF6CGTNm0LlzZz799FMmTJjAc889R+fOnWndunWBBXKOHj1KQEAAHTp0oHv37gQHBwOqF2LEiBEMHjyYVq1aMXv27KxzduzYQUBAAB07dmTUqFEkJiaW6JnLnYJa2lX2BjQFzhZy7AFgG6AA3YCjxV3Pkm1qK4MrMVfEQ2sfEsxDDF833NLiSCSSQqgqbWqFECI9PV0MGzZMfP7552Lq1Kli3rx5Qggh/vrrL+Hn5yeEEGLo0KHiwIEDQgghEhISRHp6urh69WpWm9fly5dntYjN+3rYsGFi9+7dQggh1q1bJ55++mkhhBD33XefCAkJEUIIcfjwYdG3b998Mi5fvly4u7vnakfr4OAg/v33X5GQkCCaN28u9Hq9EEKIgIAAERgYKK5evSqALHknTpwoFi5cKPR6vQgICBARERFZskycOFEIobavff7557PuO378eDFo0CBhMBhESEiI8PDwECkpKeLvv/8WDzzwgBBCiLi4OJGeni6EEGLnzp1ixIgRWTI3a9ZMxMbGipSUFNG4cWNx/fp1ERkZKXr16iUSExOFEEK8//774q233irx51Yc1apNraIoa4E+gLuiKGHA/wFWAEKIL4GtwP3AJSAZmFjwle4emtVuxm9jf2PbxW242LoAEJcaR1xaHI1dGltYOolEUhh9VvTJt2+072gmd5lMcnoy96/J36Z2gv8EJvhPICo5ipE/526TumfCnmLvmZKSgr+/P6Ba9E8//TT33HMPv/76KwD33Xcf0dHRxMfH06NHD1566SUee+wxRowYQaNGjcx+tjFjxvDTTz/Rt29f1q1bx+TJk0lMTOTgwYOMGjUq631paWmFnr906dKs130yW/o6Ojpy33338ccff+Dj40N6ejrt2rUjNDQUT09PevToAcDjjz/OkiVLGDx4MGfPnmXAgAEAGAwGGjRokOs+ORk9ejQajYZWrVrRvHnzfB6HuLg4xo8fz8WLF1EUJVfjnn79+uHiov4Gt2nThmvXrhEbG8v58+ez5NLr9QQEBJg9jhWBxRW9EGJcMccFMKWSxKlWDGk1JOvvt/e+zZfHv+T1Xq8zM2AmNjobC0omkUiqCnn7uRfFnDlzeOCBB9i6dSs9evRg+/btZrdUHTZsGK+99hoxMTEcP36c++67j6SkJGrVqlXmOvnPPPMM8+fPx9vbO1eXusJa0fr6+nLo0KECr1XSdrRvvvkmffv2ZePGjYSGhmZNQABsbLJ/Z03taIUQDBgwgLVr15boGSsSiyt6Sfnwwj0vcDX2Kq/vfp0Vp1awZMgSBrcsqjyBRCKpbIqywO2t7Is87m7vbpYFbw69evVizZo1vPnmm+zZswd3d3ecnZ25fPky7dq1o127dvz7779cuHAhyxsA4OTkREJCQoHXdHR0pEuXLkyfPp2hQ4ei1WpxdnamWbNmrF+/nlGjRiGEIDAwED8/vxLJe88993Djxg1OnDiRFU8Aak3+Q4cOERAQwI8//kjPnj3x8vIiMjIya396ejohISH4+voWeO3169czfvx4rl69ypUrV/Dy8srVcjYuLg4PDzXRa8WKFcXK2q1bN6ZMmcKlS5do2bIlSUlJhIeH07p16xI9c3lSHYLxJGbQpFYTNozZwJ+P/QnAkDVDmL9/voWlkkgkVZF58+Zx/Phx2rdvz5w5c1i5ciUAn3zyCW3btqV9+/ZYWVkxZMiQXOf17duX8+fPZwXj5WXMmDGsXr06l3t8zZo1fPfdd/j5+eHr68umTZtKJfPo0aPp0aMHtWvXztrn5eXFsmXL8PHx4c6dOzz//PNYW1vzyy+/8Morr+Dn54e/vz8HDx4s9LqNGzema9euDBkyhC+//DKfB2P27Nm8+uqrdOjQwaxI/Tp16rBixQrGjRtH+/btCQgIKHEAYnkjm9rUQNIy0vj40MeMbDOSVm6tiEyKxMnGCVudeS44iURSPsimNuXH0KFDefHFF+nXTy0XHhoaytChQzl7tsDq6WYxYcIEhg4dmlUnoDohm9rc5djobHi116u0cmsFwKTfJ9H287ZsCdliYckkEomkZMTGxtK6dWvs7OyylLykZEhFfxcwtetUdBodQ9cOZdjaYVy5c8XSIkkkEolZ1KpVi5CQENavX59rf9OmTctkzYO65l4drfmSIhX9XUD/5v0JfD6QD/t/yO6ru2mzrI207iUSieQuQSr6uwRrrTWzeswieGowT7R/ggBPNa8zLjXOwpJJJBKJpCKRiv4uw8PZg2+GfYOrnSsGo4E+K/sw9MehXI65bGnRJBKJRFIBSEV/FyMQPNH+CfZe24vv577M/Xsuyekl62wlkUgkkqqNVPR3MTqNjpcCXiJ4ajCPtHmEd/a9Q5tlbQiJDrG0aBKJpJz477//GDt2LC1atKBTp07cf//9hISEZDWrqUj8/f0ZO3Zshd5DUjxS0Uto6NSQNSPWsGf8Hrp4dKFZrWaAmo8vkUgqB6MRtm2DseP19OyfxtjxerZtU/eXFiEEw4cPp0+fPly+fJnjx4+zYMECbt++XX6CF0JQUBAGg4H9+/eTlJRU4feTFI5U9JIsejftzfpR67HSWpGQloDPMh9e/+t1kvTyP6lEUpEYjTDzlQxmLojhmnMwtr0CueYczMwFMbw8J6PUyv7vv//GysqK5557Lmufn58fvXr1yvW+0NBQevXqRceOHenYsWNWJblbt25x77334u/vT9u2bdm/fz8Gg4EJEybQtm1b2rVrx+LFiwu899q1a3niiScYOHBgqavhScoHWeteUiB6g56ejXsy/8B8fgj8gcWDFjPCZ0S+hg8SiaTsbN8O24/E02x4EBqdWq3UzjUN1+bx/LnRh4E7XBlcitYVZ8+epVOnTsW+r27duuzcuRNbW1suXrzIuHHjOHbsGD/++CODBg3i9ddfx2AwkJyczKlTpwgPD8/KYY+NjS3wmj/99BM7d+7kwoULfPbZZzz66KMlfwBJuSAtekmBuNm7sWr4KvZN2Ect21qMXD+SQasHkZBWcEMLiURSelau0+PiF56l5E1odAIXv3BWrtVX6P3T09OZNGkS7dq1Y9SoUZw/fx6ALl26sHz5cubNm8eZM2dwcnKiefPmXLlyhWnTpvHnn3/i7Oyc73rHjh3D3d2dxo0b069fP06ePElMTEyFPoOkcKSilxRJrya9OPHsCT4d/Ckuti44WjsCYBRlWDiUSCS5CAsXOLinFnjMwT2VG+Gl60ni6+vL8ePHi33f4sWLqVevHqdPn+bYsWPo9erE4t5772Xfvn14eHgwYcIEVq1aRe3atTl9+jR9+vThyy+/5Jlnnsl3vbVr13LhwgWaNm1KixYtiI+P59dffy3VM0jKjlT0kmLRaXS8cM8LrB+1HkVRuB53HZ9lPvx87mdqYlMkiaSyaeShkBRVcNOppChbPD1Kt2R23333kZaWxtdff521LzAwkP379+d6X1xcHA0aNECj0fDDDz9gMBgAuHbtGvXq1WPSpEk888wznDhxgqioKIxGI4888gjvvvsuJ06cyHUto9HIzz//zJkzZwgNDSU0NJRNmzZVqf7sdxtS0UtKTHxaPPZW9oz5ZQz9f+hPUGSQpUWSSKo148daE3faA2NGboVuzFCIO+3B+HHWpbquoihs3LiRXbt20aJFC3x9fXn11VepX79+rvdNnjyZlStX4ufnx4ULF3BwcABgz549+Pn50aFDB3766SemT59OeHg4ffr0wd/fn8cff5wFCxbkutb+/fvx8PCgYcOGWfvuvfdezp8/z61bt0r1HJKyIdvUSkqFwWjgq+Nf8fru10nUJ/JSt5d4v//7MlhPIsmBuW1qTVH324/E4+IXjoN7KklRtsSd9mBwN2cWva9DI80ySQ5K0qZWRt1LSoVWo2Vyl8mMajOKObvmEJcWJ5W8RFJKNBr46AMdg3a4snKtIzeCBE09FMa/Zs3AgUglLykTUtFLykQdhzp899B3WcF5R8KO8Nru11gyeAm+dX0tLJ1EUn3QaGDwYBg8uHRueomkMOQ8UVIuaBT1q3Qz4SYnb53E/yt/Zm6fSXxavIUlk0gkkrsbqegl5cpwn+GETAthov9EFh9ejPdSb34+97OlxZJIJJK7FqnoJeWOu707Xz/4NUeeOUIj50ayBa5EIpFYELlGL6kwunh04fAzhzEY1ZzcX87/woHrB3irz1u42LpYWDqJRCK5O5AWvaRC0SgarLRWAJyNOMuSI0vwWurFqtOrZLEdiaQSsESb2nnz5uHh4YG/vz/e3t48//zzGMvShk9SJqSil1Qa8/rM4+ikozSt1ZTxv42n1/JeBN4OtLRYEknVIiEBJj+n/ltGLNmm9sUXX+TUqVOcP3+eM2fOsHfv3gq/p6RgpKKXVCqdG3bm4NMH+fbBbwmODuZ85HlLiySRVC1Wr4K/NsKa1WW+lCXb1JrQ6/WkpqZSu3btMj+PpHTINXpJpaNRNDzd8WlGthmJs43a+erLY19io7VhvP/4rFQ9ieSuIyEBVnwJDzWAFV/AY4+Dk1OpL2fJNrWLFy9m9erVXLt2jSFDhuDv71/q55CUDfmLKrEYLrYuKIqCEIKNFzby1Oan6PF9D07cOlH8yRJJTWT1KvDIgBYu0CC9XKx6cyjvNrWQ7bqPiIggKSmJdevWVcqzSPIjFb3E4iiKwrbHtrH8oeVcjrlM5687M3nLZGJSZP9qyV2EyZrvkqk4uzqrVn0Z1uot1aY2J1ZWVgwePJh9+/aV+jkkZUMqekmVQKNomOA/gZBpIUzrOo1vTnxDcFSwpcWSSCoPkzXvmtmu1tW2zFa9JdrU5kUIwT///EOLFi1K/RySsiEVvaRKUcu2Fp8O+ZTQ6aEEeAYAsPjQYo7dlN0IJTWYvNa8iTJa9ZZoU2ti8eLFWUF8BoOByZMnl+oZJGVHtqmVVGkS0hLwXubNrYRb/K/T/3jvvvdws3eztFgSiVmY26aWL5bBpsXQ1z3/sd1RMHwmPPd8+QsoqbaUpE2ttOglVRonGyfOTz7P9Hum8+2Jb2m9tDVfH/86q9qeRFIjuHIJ9O6wnfxbujtcDrGoeJLqjUyvk1R5XGxdWDx4MU93fJopW6cw488ZDGk5BE8XT0uLJpGUDwuLzkWXSMqCtOgl1Ya2dduyZ/wejv3vGJ4unggh+OTwJ0QlR1laNIlEIqmySEUvqVYoikKbOm0AOB95nlk7Z9H6s9Z88e8X0p0vqZLUxDgoiWUp6XdKKnpJtcW3ri+nnj2FX30/Jm+dTNdvu3I47LClxZJIsrC1tSU6Oloqe0m5IYQgOjoaW1tbs8+RUfeSao8Qgp/O/cTMHTMBuPLCFWx0NhaWSiJRK86FhYWRmppqaVEkNQhbW1saNWqElZVVrv2FRd3LYDxJtUdRFMa2HcvQ1kMJjgrGRmdDuiGdNWfW8Hj7x9Fp5NdcYhmsrKxo1qyZpcWQ3OVI172kxuBo7UinhmoDjw1BG5i4aSKdv+7MP9f/sbBkEolEYjmkopfUSEb7jmb9qPVEp0TTc3lPxv82ntuJFd+DWyKRSKoaUtFLaiSKojCyzUguTLnAnB5zWHtmLaN/GW1psSQSiaTSkYuXkhqNg7UDC/ovYGKHiSSnJwNwJ+UO5yLP0bNxTwtLJ5FIJBWPtOgldwWt3VrjX98fgEUHF9FreS+e2PgEtxJuWVYwiUQiqWCkopfcdbx+7+u83ut1fj73M15LvVh8aDHphnRLiyWRSCQVglT0krsOeyt73r3vXc4+f5aejXvy0o6XsnLwJRKJpKYh1+gldy2t3Fqx5dEt/B7yO23rtgXgRtwNtBotDZ0aWlg6iUQiKR+kRS+5q1EUhWFew2heuzkA0/+cjtdSLxYdXCTd+RKJpEYgFb1EkoOFAxbSp2kfZu2chd+Xfuy+utvSIkkkEkmZkIq+GNLT03nsscc4dOiQpUWRVAItXFvw+7jf+X3c76QZ0ui3qh/LTy63tFgSiURSaqSiL4YrV66wd+9eunfvzlNPPUVERISlRZJUAkNbD+Xc5HMs6LeA4T7DAQiNDUVv0FtYMolEIikZUtEXg5eXFxcuXOCVV15h9erVeHl5sXTpUjIyMiwtmqSCsdXZMqfnHGrZ1sJgNDBs7TDaf9GenZd3Wlo0iUQiMRup6M3A0dGR999/n8DAQDp37sy0adPo3Lkz//wjm6XcLWg1Wt7v/z4ZxgwGrh7IyJ9Hcj3uuqXFkkgkkmKRir4EeHt7s2PHDtavX09MTAw9e/Zk/Pjx3L4tm6XcDdzf6n7OTj7Lu33fZevFrXgv9eZo+FFLiyWRSCRFIhV9CVEUhZEjRxIUFMSrr77K2rVrad26NZ9++ql0598F2Opsef3e1wmaEsSznZ6lQ/0OAEQkydgNiURSNZGKvpQ4ODgwf/58zp49S0BAADNmzKBjx47s27fP0qJJKoEmtZqwePBirLRWxKXG0f6L9oz4aQTXYq9ZWjSJRCLJhVT0ZaR169Zs27aNDRs2EBcXR+/evXn88ce5dUs2S7lbsNXZMqPbDLZf3o7PMh/e3fcuqRmplhZLIpFIAKnoywVFURg+fDhBQUG88cYbrF+/Hi8vLz7++GPS02V1tZqOjc6GOT3ncGHKBYa2Hsqbf79J28/bEpkUaWnRJBKJRCr68sTe3p533nmHc+fO0atXL2bOnEmHDh3Ys2ePpUWTVAKeLp78POpndj6xkyEth+Bu7w5Aoj7RwpJJJJK7GanoK4CWLVvyxx9/sGnTJpKSkujbty/jxo0jPDzc0qJJKoH+zfvz2f2foSgKV+9cpfHixry15y1S0lMsLZpEIrkLkYq+glAUhWHDhnH+/Hn+7//+j40bN+Lt7c3ChQvR62V1tbsFW50tg1oOYt7eefh+7svvwb9bWiSJRHKXIRV9BWNnZ8e8efM4f/48ffv2Zfbs2fj5+fHXX39ZWjRJJdDAqQFrH1nL7id3Y2dlx7B1w3ho3UMYjAZLiyaRSO4SpKKvJJo3b87mzZv5448/0Ov19O/fn9GjRxMWFmZp0SSVQN9mfTn17CkWDViEt5s3Wo0WgAyjrL0gkUgqFqnoK5kHHniAc+fO8dZbb/H777/j7e3NBx98IN35dwFWWitmdp/JBwM+AODQjUO0+qwVv134DSGEhaWTSCQ1FanoLYCtrS1z587l/Pnz9O/fnzlz5tC+fXt27pTNUu4mtBotjtaODP9pOPf/eD8Xoy9aWiSJRFIDkYregjRr1ozffvuNrVu3YjAYGDhwICNHjuT6ddks5W6gq0dXTvzvBIsHLeaf6//Q9ou2zN8/39JiSSSSGoZU9FWAIUOGcObMGd599122bt2Kt7c38+fPJy0tzdKiSSoYK60VM7rNIHhqMKN9R2OjtQFACCHd+RKJpFxQauKPSefOncWxY8csLUapuHbtGi+99BIbNmygVatWLFmyhMGDB1taLEklIYRAURR+PPMjK06t4LMhn+Hl7mVpsSQSSTVAUZTjQojOefdLi76K0aRJE3799Ve2b9+OoigMGTKE4cOHExoaamnRJJWAoigApBvSORJ+hHZftGPOrjmyup5EIik1UtFXUQYOHEhgYCALFixgx44d+Pj48M4775CaKpul3A2M9x9PyNQQHm33KB/88wE+y3zYErLF0mJJJJJqiFT0VRgbGxvmzJnDhQsXePDBB5k7dy5t27Zlyxb5g383UM+xHiseXsE/T/2Du7277IgnkUhKhVT01QBPT09+/vlndu7ciU6nY+jQoQwbNowrV65YWjRJJdDdszvHJh1jhM8IABb+s5DZO2eTkJZgYckkEkl1QCr6akT//v0JDAzkww8/ZPfu3bRp04Z58+aRkiKbpdR0tBpt1vr9jfgbLDy4EO9l3qw7u05G50skkiKRir6aYW1tzaxZswgODmb48OG89dZb+Pr6snnzZvmDf5ewZMgSDj19iPqO9Rn36zj6rerHhagLlhMoIQEmP6f+K5FIqhxS0VdTPDw8WLt2Lbt378bOzo6HHnqIoUOHcunSJUuLJqkEujXqxtFnjvLlA19yJuKMZd34q1fBXxthzWrLySCRSApF5tHXANLT01myZAnz5s1Dr9cze/ZsXn31Vezt7S0tmqQSSElPwc7KDoDX/noN3zq+PNru0SxXf4WSkAD9u0NvLewzws5/wMmp4u8rkUjyIfPoazBWVlbMnDmT4OBgRo4cybvvvkubNm347TfZLOVuwKTk0zLS+OvqXzy+8XH6rOzDmdtnKv7mq1eBRwa0cIEG6dKql0iqIFLR1yAaNmzImjVr2LNnD05OTgwfPpz777+fkJAQS4smqQRsdDYcfOogXw/9mnMR5+jwVQdm/DmDuNS4irlhQgKs+BK6OKuvuzrDii/kWr1EUsWQir4G0rt3b06cOMHixYs5ePAg7dq147XXXiMpKcnSokkqGK1Gy6ROkwieGsykjpP4/uT3xKfFV8zNTNa8q6362tVWWvUFIYMVJRZGKvoaipWVFTNmzCA4OJgxY8awYMECfHx8+PXXX6U7/y7Azd6NL4Z+wZXpV/B08UQIwcs7Xub0f6fL5wZ5rXkT0qrPjwxWlFgYqehrOPXr12fVqlXs37+f2rVrM3LkSAYNGkRwcLClRZNUAu727gBcj7vOytMr6fh1R6ZtnUZsamzZLrx6FdROAY0CsWnZm0YBl2Sp1EyYJkQPNZATIInFkIr+LqFnz54cP36cJUuWcPToUdq1a8ecOXNITJTNUu4GmtRqQvDUYJ7r9ByfH/uc1p+1ZvnJ5RiFsXQXvHIJ9O6wnfxbujtcrkFxIWVxvctgRUkVQKbX3YXcvn2bOXPmsGLFCjw8PPj4448ZNWpU5aRjSSzOyVsnmbJ1CtfjrnNh6gUcrR0tLVLV5otl8Mnb8OI8eO55888zpR4+bK/GL8SkwqYUmYIoqTBkep0ki3r16rF8+XL++ecf6tSpw5gxY+jfvz9BQUGWFk1SCXRo0IEDTx3gwFMHcLR2RG/QM2/PPO6k3LG0aFWPolzvxVn6ZQlWlAF8knJEKvq7mO7du3Ps2DGWLVvGiRMnaN++PbNmzSJB/rjUeDSKhqa1mgKw79o+3tn3Dq2Xtua7E9+V3p1fGqq6QivK9V5UkF1ZgxVlAJ+kHJGK/i5Hq9UyefJkQkJCePLJJ1m0aBHe3t6sXbtWRuffJfRv3p8Tj+/HO1bHM78/Q/fvunP85vHcb6oohVyZCq2kz1BUnYDiguzKEqxYEwP4qvqEroZjcUWvKMpgRVGCFUW5pCjKnAKOT1AUJVJRlFOZ2zOWkLOmU6dOHb777jsOHTpE/fr1efTRR7nvvvs4e/aspUWrmVSxHz6/7SfZ94uBVc7jCY0N5fktz+ee6FWEQi6tQivt2Jme4ftvzTu/KNd7cUF2ZQlWrIkBfNJDYVEsGoynKIoWCAEGAGHAv8A4IcT5HO+ZAHQWQkw197oyGK9sGAwGvv32W1599VXi4+N54YUXmDdvHs7OzsWfLDGP0gZ4VQR56tXH/bGVSE0qLV1bEpMSw4aTPzLxxS/R9taVbz37L5bBzqUwqC78GQGDXjBvLEozdjmf8bdIEHqY+Xbh5+cNpDMRkwobMjNVRjiWf5BdTQzgk/0QKo2qGozXFbgkhLgihNAD64CHLCzTXY9Wq+XZZ58lJCSEp556ik8++QQvLy9Wr14t3fnlQXlZsuXlFchjQbr88jstXVsCsPzkcibtnEa3Ppc56qmUn4VZ2vK5BY2dOeNgesZmTuASC81tir5fUa735AhwvlMxFQFrYrXBmuihqGZYWtF7ADdyvA7L3JeXRxRFCVQU5RdFUTwrRzSJu7s7X3/9NUeOHMHT05MnnniC3r17ExgYaGnRqjel/eHL6/4sD3doMQr3pbaTWHOqEeH2BrrFnGJSx2ii1nxWfpOLkiq0gsauuHHI+YxRkeCvhaux4J5a+DmFud63GCAqGXx1ud9vGrebN0s/+aqJ1QZlP4QqgaUVvTn8DjQVQrQHdgIrC3qToij/UxTlmKIoxyIjIytVwJpOly5dOHz4MF9//TXnz5+nY8eOTJ8+ndjYWEuLVv0oL0v25s3ivQIlsXQLUbjKmh94VHHkQt0uvGjvwXJjJC91DC/fyYWJ4saioLH7bil8/3nR42B6xlrWEHEb3IGGAqzSCz9n4WLYfTj/Nm4CdGgAHg0LDrKb9VL+SYe5npfVq8ApCX4PhdvJ1avaYGHPWBM9FNUQSyv6cCCnhd4oc18WQohoIURa5stvgU4FXUgI8bUQorMQonOdOnUqRNi7GY1Gw6RJkwgJCWHSpEl89tlneHl5sXLlSozGSkzHqu6UlyU766XivQLffgObflCDzwqiOIVrmkx0ccZZo+Mj5xacduvEe/WawYovuHj9JIfDDpduDEoTkV7Q2GVEq270wsYhrzWvM4C1Btpr4Vxk0VZ9QRQVZJdaG/btyj/pMNfzcuUShBnhSiz8GKV6D5ZdVf+t6tUGC3rGmuihqKZYWtH/C7RSFKWZoijWwFhgc843KIrSIMfLYYCs6mJBXF1d+eKLL/j3339p1qwZEyZMoFevXpw6dcrSolV9ysuS9XOAHZugk1Ph5yckwOcfQYACyz4q3NItSuHOeinfcd8kHZ5aW3BJ5u21zxHwXQBPbXqKiKQI88ehNBHpBY1dagbEJ0CzVDAaCx4H0zMi4MotMAhINKq/fK7Goq36gijM0t99GMZOgC51ck86ShKPMfdtcHGCJ32glhMMHwd2wKNPqddfuNg8GSubwp5R9kOoMlhU0QshMoCpqP/Fg4CfhRDnFEV5W1GUYZlve0FRlHOKopwGXgAmWEZaSU46derEwYMH+e677wgJCaFTp05MmzZNuvOLorws2Ytx0EoDIjP6uyCvwLffQO048LEDxxh4YFB+JWOOwi3i+OdRnZnVfRY/BP6A11Ivlh5dSoYxo/hxKEpZFqbQTGOXboSVF1TX9t5waKyBWgpERxc8DqZn/CECtiTB1jTYnAp/pMLtdLiTUj5Kp7AlmW+/Nj8eI6fXxj0Vvvio6ufSJyTAg/dD3bT8z3g39UOo4sha95Iyc+fOHd58802++OIL3NzceP/995kwYQIajaUdRqUgIQFemQUfLCz/FKBZL8LxQ4Uf7xSQX8nlTbdKzYBlp2GoLQgFWnuDRpM7DQugozf0SwZPG9geDxfS4fUPYfqLpZe/oLFJSCDotWeY1jGCv67v4YP+HzC7x+zyvQdkj93N/yD2FjjXh7goeMgOnLRg7wCNPAtPR+t3Lxw7CA3tQZvZ0+GOHvRW4OMF9/Qsm8WcM1UQ1M9pyTkw2MKzTYpPlcv7OW+7BjejYGIH2BFlfuphZbP4Y3h/DnT3gMGNa0Y6YE4q8vegAqiq6XWSGkDt2rVZunQpx48fp1WrVjz99NP06NGDEydOWFq0klORhT3KYsmavAB7w8ENUICUDLj6X36vgMmab2ANaUYIS4c+1rB0Ydksw4LGZvUqfHbsYWfqKH4d/SvPdX4OgDO3z3A78Xb53APUsdm0M9u1TQa0qwctWkLdZuBYt3DvSEICXL0ELlroVA+m+atbl3qgSYVHHi1cyZsTSFfQssLRCEhLgrhosM+M0C8qHiOn1yY1A85HQUcr1VNhyTXtop7ftDzU306Nd0jNqHnBdjWk0I9U9JJyw9/fn/3797NixQquXLlC586dmTx5MjExMZYWzTyqYunRvO7PU2lwTYG1abA5AzYm5naHXjir/vh2tAKdAqdToYkOWunUoLXCAvOKo7D89cx9ysovGdFoAM42zgghePK3J/Fa6sWSI0vMc+cXdo+c5HRt19dDmFCfe6sBvgpV/y3ILbz0M0iIgAH2cOim6va/nQxnIuE+28JjGEz3LO6HPu9k7HYyHL4J91mDlRH23oR1F1VFWFg8Rc6JwtEI8NSoE7XoSDVbwFLKs6jnN00oW9uq8v6bGadRU4LtquLvQSmRil5Srmg0GsaPH09wcDDTpk3jq6++onXr1nz77bdVPzq/Khb2yOsFuHILbiZkbxdv5T7epAXY3wEHLUSmw+kUaG+lKiE/Temt+sLy1wsYL0VRWPfIOu5pdA/T/5xOp687sf/a/tLdw0ReZTikuRqwtmmnGgRnJWDcUwV7R1avgEYacFDAXaNGtP8Yqf7d0A7qpxXdmKa4H/q8k7EfI6G2ACcNeOrg0C24HK0q/II8DjknCqZJgp+1ekxrtJxVb3r+B+vD/DfULIycxz7/CPwzvRV+1tmTqJoSbFcVfw9KiVT0kgqhVq1afPrpp5w8eRIfHx8mTZpEQEAAVTZ2oqYU9vjzD4gSatDZz0mqMhNAnBHsNOCWWPIfrILG5vul8N2yQsfLy92LPx/7kw2jNxCbGsu9K+5l+6Xthd/j5k1YMLfwTILC0hK//7ZoZXzzJkTcgF6OoNXCMB9wtgdHe3i4jRrjMKR5wed++w1Y31Kr6RX1Q59zMmZaXujuDrb20MERkvXQxQ7+iSg4VS7nROHHSHBWIAm4aYAEBaISLaM8s+oPpEOdJJg1M/exBnpwsoF4QNFmT6JqQrBdTfk9yEQqekmF0r59e/bt28cPP/zA9evX6dq1K88++yzR0dGWFi03NaWwR3s/8PKDOt5g0EJHJ7CyUzdbe+haq/jSsXn3FzQ2TnfAGKO6la9fz+1ezjxfSUxkuM9wgqYE8cmgT+jXvB8A5yLOkW5Iz33Pl1+EuskFZxIUlZa4dCFE3gA3W4i6Ad99m/+6rTRQSwf7EiA1Llt20/M4aSHjMny+NPcYfP4RtNCXzKI2jZVvM3US4W4PrXWQYQfdGxecKpdzovDgcKjdFi62zN4CG1a+8jSNeScndfmghz3s3KROnEzHhjRXn9G0Pdwm28tSldMBzaGm/B5kIhW9pMJRFIXHH3+c4OBgZsyYwXfffUfr1q356quvMBgMlhavZhX2MCmN4WPBTgeNmqnBaqbNo2G2ZVhYN7ec67I5x8ZoVJV6erqaux6XADcjIP5ObmX47Te51nXtreyZ3m06Oo2OhLQE+qzsQ4evOrA3dK96v5s3Yedm6G6nKhXTEo/JczBkILgk5U9LRIBNDMQlwoYroE+GJYuyn8N03Y62sCYWIjLgUBg0TVFlT82MHQi7AW0EfPZh9rmm9WdPm/zr5EVNkHJ+j9LTIT4WAmzgVBS0sy/++1SagM2KwKToRKK6LFLPGlooqlVf0/Pja9LvQSZS0UsqDWdnZz7++GNOnTpF27Ztee6557jnnns4cuSIZQWrzj9chSmdbVsgNTXblZq3gtuXOUrHLlsEO38tuMDLt99kj83V/+BmNASFgk5AHWDPDdBq4Np/gACHxCLzvx2tHfn2wW9JzFT4j64bxc1XnoPGCthpIc2QO5PAKgoCT8BN8j/HD7chPB0a6eBiDAxygNTobKv+5RfV6walQkwG9LSB4DQwZEBd1DXzqCS4FQPOWnUy8fnSbGu+oxXYalVFV8REJou836OgUEgXYKVAfQ2cvlk1rcK836G81ryDVt0fYKda9WdO1ez8+Or8e1AIuuLfIpGUL23btmXPnj2sXbuWl19+mW7duvH000+zYMECLFK+OOcaaT6q+A9XlvXtl51nnZAAcZFqGto+o+pKzZkD/MUyeHsOtHGCZi3A5SK41laVWEpKZgCSK1yMgO1b1LHZaoALN9X14+gosLGBDAOk6iFaBwkZ4BIFGUY1Ir6Fi3r+999CcHBWHrKiKDzk/RADdl/hgzNv8AG/8XvjDM6ct6fpFj2kGyAiFNo6gUYLlxLB1wWEY+7nSEgAPy/wt1dlshPgpkBrK9WqHz0G9v+lxiWEJEM7K6idGYy3PgmcHeB2KhwPhbQ0qKWFOwZY9T1Y22QGNNpDvAEMqBOZ5o7ZE5mHMycyjz2eLVPO71G6Hs7cBnetmv0gBBAHwzzzn2d6nuLytSsqpzvvd8ik6OJS1YlXcub7rBS1SHlcoupdqKlU59+DQpAFcyQWJT4+nrfffptPP/0UR0dH3nvvPZ599lm0Wq2lRav6mIqs5O3zXVSf94QE6HsPRIVCf1toUhfCb8PudGheH66kwMRG+Qu8rF6V+5p9/gefLlRrzd/bGHxdC+7Tvjwsf+/3HHJf3nWLdZ0NvN7JF1IzuLYykCbhqdB/JPTsWfhzLP4IPngdRjrA1ngYaqcGHeqsYG0S3PsAxJ8GKz0cvQmP2qv+yyQN/JYKcxaokwG/FvCEAzgDkamwTg/tusDlk+BilT3WcengUl+dyNRNgsfa5JcpJ4+OgeDfob9Djs/LAA6usCcaHp+bu3jRF8vgk7fhxXmFF8Yx5z0lpaDv0Ntz4egBuHAeamtAl8Pxm2GEJFs4f6VaFJC525AFcyRVEmdnZxYtWsTp06fp2LEjU6ZMoUuXLhw6VEQFOYlKQek/xUULr16lBqK10IGrArdvq/nanhq4fQdqxanr0ZAdgPTdt/mvuXQhJEfDEAc4ekstCmNqMGMKYKplXXDv9xy94VtoE3k9UlUYl49ex+uBRMaMEIT9sxG+XgLtHdQcdD+H3NfYtgWaWEGwXnXdu2hU/6RBqPuP/QvJtWHfbbWGgKMGbDSgMUJjHSxeBNOnqoF6rjrIyAB3HTQHgs7C5HbZhXWm+auv7ezAyUENQss7tjnd3wkJanOb8Az4PQ226NVtdzp8fwOuJsG2P7I/R3PS+Coqp7ug79DCxWrKYocGMNEXnvDJ3ib6QhuXaum+vpuRil5SJWjTpg27du1i3bp1RERE0L17dyZOnEhERAmapdxNFFpb/ZvCo4UTEtSUuLgE6GgDNoDIUH8FOljD9Thoq1PXo010dVZd4Q30uRW40x21xnzjzEnCwf9yN5gB9TqdrHP3fs8pd3Q0dLCCwAi4noDHvtu8dseKze4GvJ9I4wOPUPQXY+FKDFyKy/0ccZEwxAuuCbjHEWxtoZZddgpd3VowZLiaOx/gpB53sAVHa+jspBbQ+XMzdLNTlbyCOg5+VpCWAPFp+ddnkyNyT2Ryjm3OAMbVq6CWBqwV8HbLVpKPeqvu7xENITYy/8SnqHzt4moMmNMG19zvUEKCrFNfw5Br9JIqg6IojBkzhgceeIB33nmHjz/+mI0bN/LOO+/w/PPPo9PJr2sWBaX/uMXA+3PhhTa532v6AU9JVq35+oqq2OLTIUPAf3r1fY00cCMdtP+B1lGtoZ9uVC33VvbZ14uKhLYa2KuHJINaLGV1GDTXqUF6V/+D2rXVdW1nLdRJz+4Sd+eOmpteywdupqp52O4G+C4U2wYKc53teOJICi+2TGdOFz0/xF7h+GAXbP6+pSpKUxxB7RQITFDLARuFGmwHkGKAuDvgYIBPP4RmOlWBx2dmdxgEJMVDMw2EpKvPF52u1r9XMo831MKXF6FDu+xnzjBAVDL0c8s9tn4O8NbrUMcN7DLUv+9/ECKT4T4H2B0BUe6g08LNSNXbUE+Trawfe1xVtg/nUbY51/BNCrmw9xQUp1Ha71CD+GyrXlJjkGv0kirLhQsXmDZtGrt27cLPz4+lS5fSs2dPS4tlefI2QDHxaxCE34H7m4C7e+5z/oqAS6nQ2AhRKZCRrm4ocMcI1lo1EE6rUZVS7QZQt67aRMYuCnq7QoOG6rWuXgFDMpxOBxdraG8PP9+BFA1YW4GDI9jYQtzt7HXuRk5g6wD//Ad1UuCRZtCovnrsVhJ8elqdaAx3gYR02JjIVl84Yy14xd8N9iQT414b13hrUJqAPglCr0FqYv7xcXAErQ0k3QbHPJPDjAx1vV0HICBRo1af0wuwVVRF76SBeA2ERWcr2y+WwabF0DfPuB75Dw6GQYYOMIBWQFN/8EjKHVvw2OO5PzNT/MOYCbD/m+xmOJB/7T9vw5yc7zFdN2+cRnEU9B0yGuF8KBxxhr8OV701+GrWYMYSyDV6SbXD29ubHTt2sH79emJiYujVqxdPPvkk//33n6VFsywFpf/cSoTAaLUq3vc3suu+m7abAjTJMKSp6kYe7A79XKCfs5or7tIQ2ncG345qwZ0hD+Uu4GIq2rLVABuTYL8CybagdVGLpUzuAC1bQ/BNOBGiKtuc69zDW0DLDEhNUKv07bmhyvz9ebXtrKOAWAMEpqpR9I213B+j4ZXjCkQZ2eerwdPrBvPrppLWrk3B5YBzlgV+cDi08oMGvtlbXW9VgTto1Mj6Z/zBRqd2XnO3hpZu0MkRnnFTo/dz9gUoyJW9xQAHIqC7tRplb2OEXjZw4SR4ZSrPopZUTK1oOzmp9Qly1g/I20+gsJxuUxvcZk6gCze/l4HpO4SAc1cgJkX1xCTGqSmNZVmDL+1SQnEUVne/ou5Xg5C+UEmVRlEURo4cyZAhQ3jvvfdYtGgRmzZt4q233mLq1Knl586vTtaCSelsNcCNG+DpCZdD1TQwayuobafWfc/pxjW1ec1KGWqYfcyVglvkQv59BVm2eXOMhTFzIuKQWdgmk5g4dd36Hmv4O02VOTFObfyiVdTWu3tS1WAvf1v4LREa2sCdWjTp7sqgi+d5vWU4KzJ+4LMz9zGo3fDCx6igZ/liGfzyHhjvwMU0OBUGzRX49zY8aA8bo+HRWup7O1ipzW5GjYF3387/vTD1YW/rAo1T1ElMkoAmWmihhb/DYaJzpkK/o9YqGKIFo7u6JAKg06tpfLF2EBUN6TpwczNvLDUKOCfCZx/BJE813qFluirzU88U/x02fYfW3Ib/bkNdrZoz76xAQqLaHKm0lHYpoSjyBiPmXNqoiPvVMKRFL6kWODg4MH/+fM6ePUtAQAAvvvgiHTt2ZN++feVzg8puR1kWK8RUPc3UzGXICEhLhmEuanGTsQXUbi+vims5LdstBlh2Vf03Z5BWQdbvVgP8mqCumTe3AT87SIgDe426r5EW6umgoQYOJENchhpJf0NdamiitWVD3Tb8udMVkhMZvGEEEzdNNH/MEhLUAkEeKXA1HfrZQOAdaGUFwgBWqJkIwXq1druNlRqbMGNawd+Lb7+GwMPQOFldv2+rgxQBGgHtdBASna2YdXqwi1EnNaZiQLFpEJcGkZkemANGWHUzfwe+ooLibgqwSVWDI6MjMz0zZnYoNLX9dXCEp9qoyzhdPeDlThDQGLzbmj+2ece5srIDQK1++PZcGFK32latqwykopdUK1q3bs22bdvYsGEDcXFx9O7dm8cff5xbt26V/qKWaEdZ1olFTpk//gBaaqB5ZgR8zgj18mbu29C8DbTwheHjwI7s+u2mCUNBk4qHx6oR8H2dobYNtNGBYoRGCkQYVQs6SQttHOF8BuzIgAwbaF0L+jZSFWO6kUGXkjiT4MGC4Hrc4+YHgBCCtIy0IsVm9SqwjoJraeqkopEWPBQITYemOrikh15OcNUIh4DtaaAY1Mj8vEokIUG1pFvrwNGo/oq6a6GpFoIywC3z749Pqd3cYlIhLB326HMrc6UJ1K4PdR2yFaypA9+mnZCUoo53QRMzk5J+spVqzVsJtYpfJ+ui2+7mHROT298lFnSZ/QfKUuq1Ijq+FZUd8PKLQAJEpVbNqoNVBKnoJdUORVEYPnw4QUFBvPHGG6xfvx4vLy8+/vhj0tPTi79AXiq7HWV5TCxMMrvZgj4BumQGvXW0UfPa8+adlxerV8GW9fDn+iJL3ebCpBhb6OBAkhoZbzCowW92qNH69XRqIGAHH2jjDC4N1HV1pUnu9q9NrLCpp2VOSm2eO2ujinT0G3zfqsuW0+vz39fkNQk+DyEJEJgGzbUQL9R/z6ZCVHpmZT8t6AxwKRrCE6Gntbrufis5u57A5Odg6RJIjYH21mrwnkGAnaKmKJ7L/P756iBFD6sjIMIWWtvD4w3zK3OTsobcCqy4iWDONfZr/6nLNvEG1aNjF1O8VZ83zbGTNZyLVOv/56yfUBKvU0V1fCuswcyypWovg/sdK/Y7XwOQil5SbbG3t+edd97h3Llz9OrVi5kzZ+Lv78+ePXvMv4gl2lGaO7Ewp3nKhiuZlqVQq5Y5alRLNTC6/Otym/LwbQxQPx1qxRbfwhVUN3dyDNgICNPDv0lwJR1aauGaAfyt1DV6jUFVOjl7zedt//pwG2jkmetz8jx8Dl1SEkN/G81D6x7i6p2r6n1zKkuvNtDQUZ1sNLEGVy04a1SF3MIaOtlApEFNF+xhBfYK2Au1uM656Ox6Ajt/hcUfQhMdWGkgVUCagEQBKFBHC2eMaixCc2uIiAR72wLlLlCB1U9Tm/iY+hAU9l3MWmOPhD9TYXu6WpRnezrEkLsgT0FktaDNdPubiib9m1m3wvS8uzaY/x2qiI5vRQUjVqYnq5ojFb2k2tOyZUv++OMPNm3aRHJyMn379mXcuHGEh4cXf3Jlt6MsycSiMKvOJLO9Dq7Fgq+1GskenaGuL7eyUXufp9Qu38Impqp6TbQQmQH+uoJbuOadoGzbogZ7Beuhrw2cS4OgdNWir5/5E5RsBH1GdnOcvJOUnJ+T0QiJEapS/P5b+vywk8B9LnwQVJe/rvxFm2Vt+HxGd3VS8lADtQPe10sgIk5tVKMDUjKVcQdrNZ9er4WLGmhmBZ461dq/ZoB77FS5NAokRQFxkJYIsQqsS1DL6a5PgRXJsDIZLhrgSBpsTINwA4hUSLmV//uVt9qgiVZGOP0vOMUUPRHMucZuym6Y1BbqOMDTbXIX5MlLXmtemxnt72cNh26qyw2m+gl9zOi4l/eaOSnrxLmwBjOJ6ZXryarmSEUvqREoisKwYcM4f/48c+fOZePGjXh7e7Nw4UL0en3BJ1miHaW5E4vC3Ps5ZT4aoVqjdW3B1gZSAPcm0KIl+DdQ187Lq/BJzqp6NkJd13YHoiNyt3A1PWPOCYqfH+jrQENbqGWjrmejQIxQ1+c3p8CmVNiSCr8nwpootcPeN4WkmEVHq61xWxnVaPb0KKwjk5gdrHDB5TUe0rXB4/gpMMZgaO6sVvG7HQbuQg3+izeqqXyxBkgygqMCvyfDkWhokplL394KrmSoSwyNFNVz4igg2QBuGnC2U3P0H2gOc7qAty9cv6NuPj7wgr86LgPsIDEJknN8B03Wct7WuzEpEBEFtgI8k9UJTXETwZxKcG84XI4u3puT87yoREhQ4KYBkgAn1I6HPxZQ3KcoKqrjW2HBiN9fU0sbO2vUok8V6cmqAUhFL6lR2NnZ8dZbb3Hu3Dn69OnD7Nmz8fPz46+//sr/5spuR1mSiUVh7v2cMt9MhBgFNqfC1jTYmqIqyYooU2qy5htp4FKaahnndLebnuHmzfwTlLlvZ7vdXWqpEfeJwA0FYgUkWEGSjWolO7iqOfxjJ0Di7eySsqZnjklRrX6tBmKjwTYGbsXBYHuIT6DR96tY93MSDzW0hrgE3o0LZWi3O1zWpMB/RliTBL+mwA49/J25RWUWDGplpRbLqa2FhjporFWXGFpp1Sj6lAwYaAt6I4REQW871QJON2Z/X0yf28U4tRVuY63qAfnzsvrdup0Mv4cCiflb766JhD+SVAXrgjqueUsY5/SU5M2A+CcSejgU783JeV5gQ7jYMntzbgO29uBoX/ByQ2FUVMncggI7N+1U+xZ0cIIUK9WLVZGerBqAzKOX1EhatGjB77//zh9//MH06dPp378/o0aN4qOPPsLT01N9U2W3o8xSWAXkRJsUxXPPF13yNKfMShNokOP6DYD2nUBvKN96ADmteXcF6mnVcrHJmRXlTC1cXZJh1ku529yacsFNXgxXT1V5xP2nlrAdWVet6DZmAnz5AUx+Bc6cyb1G3a1X9jNHRKrtU12s1Gj2VIOqmBtbQ9MMuJmZfdHECqKMuF1PYW+9dHyfEsw+bc2c4xnY2zRQXdsZenDJtOD16eBjDdZkl8Jtb6V6Gtz14KFRn9VTq6YD3jDArQy17e2PUdCwntoM5/A+tdHPjxegjw4yUCcQG6MhsRFEx0BsLNRqqE5oTB4XU1fBWlbQ1161UKMj1bz6rs7q8sPqVRBxOTtfPKe3xlQ9r09dSI2AQU8VnlNelJfni2Xw/mvgZgeumS2jc5bGLc01y5vVq8DbBVrkqVJYF/CPguFFPPtdilT0khrN0KFD6d+/Px9++CELFixgy5YtvPnmm7z00ktYV3Y9b3MnFmWpQW5qZVqexUNWr4LUSKirqJHdUUZVAYJaZz45DdyjVKW0bxdMbqEe6+oM3y1V/x5RwFr00RjwaAbukdk93pctgrg4aOsMLVqpkwXvtvDJsuyyrY/VVd3ih87CH/EwPHNC09EGQu6oMulcoaMNUzelMOL5Drwcd5l3Ot5hlb8VK/9KorfGDupr1TXotXHqcoQWiDOo8Q6Kol7TWaMuKWgALyu12I2/lbp+f1EPE9rBn3rVyly9CoK3qxMYDwU8Mj8/N8DbCB7N1Xz1YbXUyc3ct3OPsakPgQZ1EpVmUPPu3dxAFwmnL8A4z9wFYxIS4KUZcPIQPFJEvXxzMNUa6KbAsQQ1At9WV7ZrVgQ1sF98RSMVvaRKYDTC9u2wcp2esHBBIw+F8WOtGTQou5BYabG1tWXu3Lk88cQTvPjii7z66qssX76czz77jIEDB5bPA5iDOROLvNa8CXN+aIuqHpbzPSWtAHjlEiTr1GUCdOT72XByVK3T5i1VqzLnBCXjmhq9rnHK9mIYjarbvbFWjfLWpavtcRs3Acc7EJYKHrrca9SPPZ57AhQZqTbjaaVTW89mCLA1qm7ycAOcSYXO9uCh0HB/FD/izP9Sk5h+j4KzcwacSUH0ckSJR42wv6yH6wZVPo0G9ICDNRg0ap/7WhoYaKe66Z006n3CDHAxFhpYqZOwK5cg3hkOnIGRzqo72UR7e9jwJ/T0gBb1s70dOT04zkCUVo2eBzWLIvYmtHKC4Dg1tsEhCerbZJ+7ehXs+KXkFnhBrF6ldufz1EKEAfbehHvqZY5JHq+TJZENd0qMXKOXWByjEWa+ksHMBTFccw7Gtlcg15yDmbkghpfnZGSVAC8rzZo147fffmPr1q0YjUYGDRrEI488wvXr182/SEXX1S5L3IC57U5LWqhn4eLC68qbasvPfbvg+AMX4HJi7tr7ppSwRB3cTlLzt9socOO6qqwdFAhLg5sRsOOGWhM+b5R6fLIaxd/FBhIzIE6oXeha6tS//zNkr9vuvw0HIujTyIlTGQ3o4FsHHBSer6PnjXpWJA+pC31bwYLP4E4GvLsYGtaGeQth1BNqLEJfWzV4L8YICUa1zG2cEa7miE+Y+zY0bQWOqAq/brPsrVEz0GWongzIn2bnlKQuDYxunbv3u18DaNAMbBQY6aIWxmllzI6HMFngcZkWuImSBpSaJhu+OhC67PXuLYbyWWuXWBSp6CUWZ/t22H4knmbDg3BvHYedaxrureNoNjyIPw/Hs2NH+d5vyJAhnDlzhnfffZdt27bh7e3N/PnzSUsrproaVHyp3NIGNZmTtleRFQALm6AMaaoqq7xFYkwpYXUd1LVVByDyDoRlqOVpg/Sw/wZciVZb3OaNUr+EWgffxhqMGriTrv7rZqc2lPGspyrYFi3Ve7SrBZ18URo2goxYDC0VUmKSeS8lHB/tDTZ4xyNWfJ4/mPDmbTVn3tUG0oyQLtRfTReNWuhHSSUrHfC7b+HgbujrlF9JmqLYbTO9BrWss5vQXLkEYUa4Equu9+f8zFNrw19/qssGtbRqQZyMWDW1cNZL2RZ4Y41qgZc2oNQ0SfRtpjYp6uQL3RvnrnpYklLJkiqFbFMrsThjx+u55hyMe+u4fMeiQlxoGu/F2pXWFXLva9eu8dJLL7FhwwZatWrFkiVLGDx4cMFvNq0Rl7QlaFGUVzOdolqZFtTuNO+xsmJqmlMYpqY5OZvipBlgxTm4VwMNNPBP5kTrXhs1g+CqAR5yhP0GQAd2bmrrXMhuUSuA1BQwGMHGBqwylxVsHNSgugYN4VIwjHFTlVhkJMT+B6np8HsK+/trmdrQQKDOwMA7dnx1px9N40LAVw/nrOFQBKTFg0artrhVUDcTBqBJU1UuxRr05+FRH9gRlT2+BbWEjYyES2Fw0Bn2HIXhgwr+Xi3+CBa+Do85qYoe1D4AaS7w400Y5w5WekgwqG1vvdqobYbzjntRFNb22NRKtzy+55JKQbaplVRZwsIFDu6pBR5zcE/lRnjFTUabNGnCr7/+yvbt21EUhSFDhvDwww8TGhqa/80VUSq3PDwE5qTtVXQFQHOb5uT0WKyOALsMtaHMHYOat95OpypPv8xCKDoBbgpYuWa3zs3Zonb2W2CtgYCGavBe8M3M/W+CzghRceBXDzwaqpZuVKLqfk80grOGXr+mc/wHHUsOWnHeRo/Vv/+orvH4O2pHOmMqPOkDigbcbWGSKzzhCM86wURXmNMZHB1h9Qa4fhla6PMXEcrr7TClCNbSqeVqZ0wr+HtlKh3cRKf+Uscb1M0AnLgFLRSo61R2C7yy00wllY5U9BKL08hDISnKtsBjSVG2eHooBR4rTwYOHEhgYCALFixg586d+Pj48M4775CamjkBqQhFWV6udHN+qCu7AmBh5JwQNG4C4RnwVzpsTFXT9oyKugZuq1HX269lQO8GakncnFHqoI7X0oVQW4HLd9S1fFO++Yov1Yj6m6GqW9zkCj9ZD7akw2GNWmDIywadtY5pAe258ktdPFq6ITLu8LhrKuvFf4gWwOVIMKaDi1Gt0683qmVvk9Mh7o46xjOmQe04tYNcdGTuIkI5JzdbDbDkAmxIUBv3xAC7t2f3pO/slHuCoElW6wtsTs3efk+FM2lqOmBajglyab+TFZUDL6kyyKh7cxBCddtZWVlakmpLUVH148daM3OBB67N49Hosq13Y4ZC3GkPxr9WMW77vNjY2DBnzhwee+wxZs6cydy5c1m5ciWffvopD1wPLTzlrbTu7ywPgWvuKOySUly6kSm/uzSR/BVFQoIqt589eGnhzyToYa1OTlKFWh63m7Waxuevhwa6/OPz7TcgYtT69I6Kupa/4gtISYYGejVCvYMdXE9Tu+19/Ik65juXQkcF4iPARQe7kyHoDlYpMdBIEG1l5JzGwBrnNPrdp+WzDVH46ITa4e56BrhqVBNJLyD5JrT0gtM74GErtYNcWkZuqz6vK37ubHWNv2M9tfbBmhuQGqd6EezsoIHIniA09s4/djf/g2ZR4OIMjnWzsxlKGxkv191rPNKiN4d168DfH/7+29KSVEuKi6ofMAAG3ePM1Y0+RIW4kBJjQ1SIC1c3+jC4mzOVmQEH4Onpyc8//8zOnTvR6XQMHTqUYa+9ypUWeSYcZbHqS+IhKC7Svzi3uXeb4i3+iswmKOja336tdoDraqf2h6+vVeVJN6o55EKATlH3h+gLrqe/dCGkG9RqdSkGOBMBbimqu7uVUY1Qv8cO4qJg+3o18G3Fl6r1HB2pBraBmn+/N0xN90uKx92gcCzekWWJNhzXGWg/2sis+xWSHIQq1ygXeLS2mrfe1kWtBVAvs3OcybVeUM3+hAT4dKHa6a5/Zm325Bi1KdGhcLVYTnRktlVfWIvaB4dD7bZqVTtpgUvMQCp6c3B1heRkuO8+GDsWwsIsLVG1orio+l274KMPdHz8mitN471I3d+epvFefPyaK4ve15U5j7609O/fn8DAQD4c/jC7ExJp88kZ5q2/TEpkStnXMEviSi/rOr45rtmy3sOkzG/ezK/U814779pznEHN2/4tBTakwrZU1ZLfmKLuv5WYf6xN1nwLK7XDXFMtWBkgI06dQCTHZLZsVcBaQBehTgycklR3e0qGqpRjMtQCO9ZGuKJX770iDu3GRCZvNhL8DTx5AX6ua1Rz6TXA4RQ1dU/o1HS03dtVF3zODnJ/pqrliHMq3m+/hrho8NapjXPqG+BiKrTXQUiqumSRZsheDijsszA3HqIsVHQaqaRSkVH35pKSAh98AO+/DzodfPIJPPNM+d6jhmLJqPpyYdaLhB/cy8uXrrMuIppmtjZ80qoJD7rVQlEU8yKbc1KSKOeKiPQvTJ6y3MNUka9zXzj2N7w4L3fEeS8N/BwGuw7B/56Gm2dV5WoQEJUGWqEWvVEyi9/otFDPHuLSwaV+drR9pwDV0vVvDfpIGGmvusHjjLAhRS0yU99KLS5zrxMcTYY7emhnBccUiHMDQyokJeaW3yhArwdfK7iaBm1soJMd/BAL91iRcEqPUxqk3WPFszbpzPLywdfWUVXMn5+BJzyhZcPs6+X9LBMSoF0rSI6CcfZqxb2YDPg9Te17fyYdYrTgpINYoxo937Wn5dzqps/T9DlKqgUy6r6s2NnBvHlw/rxq2bu4qPtr4ESpvLFkVH25sHAxHv+cYO3tKHbv3o1d8xY8dCaEofbuXPrajLK0eSlJlHNFRPoXJE9Z7mFahniwPuzYBEPq5u+5Xisd6iTBo2Mg6Aj41lLz6DvWA3vUwDs7oUa1P+MGtW3UtquT26lR7abe9AsXq9cU8WoHPVtFjdi3VdSGO0KB6+mq4o9Mh9MpaitaawW8FXC2hxMh+Yv+/N8H0LGR2mimvz1c0MPfSaqnoLEOp1qqd+BcUw2bmxnxN55j5sVrxP98W40fSE8r+rNcvQr08ar3QShqUR8UdUKyPR2EHbRzgxc7QkBjte6ApZR8RdZbkFgEqehLSvPmsHkzjBypvl6wAEaNghs3LCtXFaYqRNWXF3379uXUqVMsWrSIffv24evry5tvvklycrL5FzE3yrmiU+LK6x45lXlLDUSl5u65bloT72IHFwPhPlsIjIDrCXD4ptqj/roe6mrU0rWmlqN7bxY8+blwXm2p6uMISVpIR/23lS0kC/V1nA5+TlKbzgjUdXNn1Ja1BU1kTEVr3DOL7tSxhvN6tSGNQVEt/XSFjjYOhES6MDGsFos9b+P9SAxrvOojAhsU/FkGnYVJT8PXS9RlhL5OUM9O3erYQVutujY/qS0Mb1H6z6A8qYzJpaRSkYq+tJiaXtjYwJYt4O2tKn1zqqvdZYwfa03caQ+MGbkVelZU/bgq7LYvACsrK2bOnElwcDAjR47k3XffpU2bNvz222+YtRRm7hprZaTElfYeOdfkcyrzADs1yMzPQa1m10APIlENjLtlgNZaNWrdXaP2FHfXqBa9u0ZVtJHG3C1HtxjyB5h5t4EODaBZczVFztoqM1XOC1q7QP3GUMcbDFro6ATCBvZnANbqmnpBSjRnK93W3uDmoHoZmtirjV3qaFXr/kwq7s5avg6147DrLDwa+bCkvxvir0OFB0JuXw+XrkAd1CWCmAx1i9Cr3fLcjWWraleeVMbkUlLpSEVfVmbOVN35AwfCa69Bu3bwzz+WlqpKMWhQ1YqqLy8aNmzImjVr2LNnD05OTgwfPpz777+fkJByiHouSe96S9zDFGBnaktrUuZuOvDUQFAMpEarRWeiI9UI+jMpEGALwgADWkBGMvSqC/ZW0McZHG3g/jbZpWv9G2QXgMnpxjZ5REw183cZsoPfHFvDgw/DuAnqZKBFSwh3gGgDhDuqhXMKUqI5Jzypmf3kO1pBdIZaS99aUevbB6ZCmgZ8dXRd9QeHj7Zl89Af0SgaIpMieWXnK8SlxuUe3x5WoDHAxQxYm5a9/ZQCv6bBZSOcSq0a0fNVpd6CpFyRir48aNoUNm6EbdvUzlfW1ctCrWg0mqoZVV9e9O7dmxMnTrB48WIOHjxIu3bteO2110hKSir9RSujWllp72FSYEPqqmvyHezzp6v9cxMaaSE6SlWcx5LBQ6sGzlkDx65BKw2QrEavK9rs3u7FKbuFi/PXzM+5lr9wcfZkYIsB/omEHg6FewjyTniORkBDK3CxhUSD2sEuTgEj6kTGNGFIjkC7YwP1flObMey4vIOFBxfitdSLVadXIX5YqXo06mvUegEu7tmV+24mQHSa2kQnKk2t9GdO9HxFp0FW9ORSYhFkwZzyZPBgOHcOtJk/eDNmQJ068PLLqov/LkajUYdn8OCaOQmysrJixowZjB07ltmzZ7NgwQJWr17N4sWLGTFihBqdXxIqo+d2ae9hsvoiM6CxAv/dAkOGWg8+63QBNwwQmgZWWkjOgKE2auBcBnA+Qe3GZshQXeUajVrZblOKqqyLi/ov0PLMUcDIpCRN9f371IXUCBj0VP4o8qwJj4M60bmZqLbk3ZqmRs8btKqczgrEC7WEbZQBopJhiEtW0aHH2j+Gt7s3U7ZOYfxv4/k6xp5lXm74icx8/kvRatzCjBfN+HCKeO6/NsIav/KPhs87DiaqUotaSamQ6XUVhcEAjz4KP/8MLVvCkiUwZIhlZZJUGgcOHGDKlCkEBgYyYMAAPvvsM7y8vCwtVtnJmRq4NxxC4yAiTZ3I5p3LGDWg1YO9DmzToI8NJAoIExCbAT3sIRVwdgc3N/Wc3VEwfGbRCsXc9MS87yusSUtxDXms7MHhVu5mQMJYaIMgozCyYvGTvBKzjn5CyzrrWurSxc4kuO4Mpy+ULkWyolMtzW1MJKmyFJZeJxV9RbNzJ0ybBsHB8NBDsHQpNGpkaakklUBGRgZffPFFVlT+Sy+9xBtvvIGjo6OlRSuewrrqmdMlLxMx60Xidh/CKuQ8dnbJ4KRBSTRCMig6VM+XtbXqgvdskn1icQolZwe8vOScKJRA1iLHIe9kYUNmDv4Ix4InEJnn3Lk3Cb0SSz0Xa4JEBoeT0hi/Uo9m9vuls+orsvugpEYg8+gtxYABEBioFto5dEjm3d9F6HQ6pk2bRnBwMI899hgffPABPj4+/Pzzz+ZF51uSgirllWAN12iEl1hIf5ufuF27Hlcf8yV4nD8hwzrwn5sPxtA76tr0zQS4eKtkld3MSU8sr/XmgpYIMqLVPvCFBaytXgUuSdSOjaWeQQPxBr5JTeIp20R6js7gxOr5JV/vLs+SyZK7DqnoKwNra3jlFbh2DTw9VWX/zDPwxx+WlqxKYTSq8Yxjx+vp2T+NseP1bNum7q/O1KtXj+XLl/PPP//g7u7OmDFj6N+/P0FBQZYWrWAKK5hSguA9U9njiR5LsG2VgdFVh87GgKaxEX3dNILeLEMwoTnpieURzFjQZCE1A+IToFlq7i9mTsV75RLcFLA1RV3n35zKol+1rDhsw2U7QZcHopjyxVDupNwx/5krs2SypMYhFX1lYpv5nzQqCg4ehAcfVLcrVywrVxWguMY31V3ZA3Tv3p1jx46xbNkyTpw4Qfv27Zk1axYJVc3yKqxgSgnama5cp6eBTwhDT/1GWofcSxX6bnY4b/i8Yi3O8mi9WtBkYW841FVAJ+DqfwVPIBYuhiEPg5cfNPCFBr5oGrRlfJo/wcc6MvVmPb5M3s/iwzk8F0VZ4SXxTsiqdpICkFH3lqBOHTh1Cj79FN56C9q0US3+OXPUUrt3ITkb35ha1dq5puHaPJ4/N/owcIcrgwdbWMhyQKvVMnnyZEaNGsWrr77KokWL+PHHH1m0aBFjx44teXR+eWNSFA/ncRE/9niJArHCwgWj7TZgW1dPkmKPNl6fdcxopUFXp5yiuAuLJSiPoLGCshJC0yBVgWsZ4JAInm45DuaYQBRy/1rAp8DTtwNpXrs5AIduHMJq40Y6FxZNX5Jo+PJqfSypUchgPEsTHq6m3+3fD0FBld8XvIpQ7RvflJIjR44wZcoUjh8/Tp8+fVi6dCm+vr6WE6g8AthQP8+Hzz9Nh+QT+Y5lpGqxMdjRclT3sivkGtB8pc93vdh34wD/y3Djvb11cdt6pGRZAabgRXOzDCQ1Fhl1X9WJiVHb4er1MH26WnGvZUtLS1UhGI2qBb9ynZ6wcEEjD4WzZwX1hgVi75q/hHBKjA2p+9tzYFfNrEVgMBj49ttvefXVV4mPj+eFF15g3rx5ODs7F39yeVKSrnrFsG0bzFwQk8tDA2rZ46sbffj4tXLw0FRGZ79KIG7ZIuYFzeezOndwydCwoPZYnp6xCm3OugTmUE6TNEn1RUbdV3VcXdV/AwNhzRrw9YU33oCSNEupBhS2Fh8WkU5okA0mlSCMEHG+NifXNuffVS0JCxM1IjCvILRaLc8++ywhISE8/fTTfPLJJ3h5ebF69erKjc4vx2p8lVL2uCY0X0lIwGXVShZ7tOKkWyfaWjnwbMKPrD++qsTXkVXtJIUhFX1Vo3NnNed+9Gh47z3w8YENG2pMWl7OtXj31nHYuabh3jqOVkOuEXGsIbHRCsIIQX805uKh2ijNw3DpeQHn7hdrVGBeQbi7u/PVV19x5MgRPD09eeKJJ+jduzeBgYGVI0B5BLBlUuFlj2tK85Uc0fTtrBzYU9efTVc8GHVMneDvDd1LVHKUedep6JLJkmqLdN1XZfbvhylTwMoKjh7NLq1bjSlsLV4Y4cQPLdEnWuHeOp7bV21xG3AOo16Hs4OWRo0UhBlu34KWBcaPtWbQIKpVTX2j0cj333/PnDlziI2NZerUqbz11lu4uLhYWrSqQU1wUxezVJK2bTdNvmuL3qDnvfve43+d/le4O19WtZMg1+irLxkZcPs2eHio6/iffaYG7zk4WFqyUtGzfxq2vQKxK2AtPjnKhv82+5GUYiTdJ4RazWJxc9Xg7JJdXbWowDzTssD2I/G4+IXj4J5KUpQtcac9GNzNuVo20ImJieH111/nq6++om7dunz44Yc88cQTlo/OtyTlGEtgUcyo8HduxL1M2zaNv0P/pmODjiy7fxndGnWrfFkl1QK5Rl9d0elUJQ/w++8wb57qzv/llzK78y1RoKaRh0JSlG2Bx5JjbGnfHho1UvDxT6N5Mw0uLrlLqDu4p3IjvODnLmxZoNnwIP48HM8OtclYtSrM4+rqyhdffMG///5L06ZNGT9+PL169eLUqVOWFs1y1BQ3tRlLJb51ffnryb9Y98g6/kv8j4DvAjgbcdaiYkuqH9Kir27884/qzj99Gvr3Vy18b+8SXyan9evsF47RJpWIUBtiT3tQ396Jj+ZbM2RI+bu7zYnGXrG2dKl25qTorVluXW2tfqPRyMqVK5k9ezYxMTFMnjyZd955h1q1allatMrlLnVTJ+oT+fX8r4z3Hw/A4bDDdGnYpeTR+ZIaS5ld94qiWAkh0vPscxdCmBEpUrnUaEUPqjv/yy/VqPwBA2D9+hJfwqRwmw4P4uZ/RuKTDGjt0lEUwe0/2uOicWDk/XblrvjMca9v31661KyilgVMKXqvz7Sp+LSvCubOnTu8+eabfPHFF7i5ufHBBx8wfvx4NFV1hiIpd67FXqPVZ63wrevLsvuX0d2zu6VFklQBSu26VxSlr6IoYcAtRVF2KIrSNMfhHeUoo8RcdDqYOhVCQtTqeqD+/dNPZrvzV67T4+IXTmKSID7JgHWtVHS2BrQ2Rlw6XsfgmJDL3V1emBONXdrUrKKWBZKibPH0ULKeO6eSB9DoBC5+4axcqy/w/KpE7dq1Wbp0KcePH6dVq1Y89dRT9OjRgxMn8henkdRMGrs05sdHfiQqOYoe3/dgwm8TuJ1429JiSaoo5pgAHwKDhBDuwNfATkVRTNEgd3FEUBWgbl1o2FD9e9kyGDtWdeefP1/sqWHhAgf3VKJjjJmWfPYxa9dk0hKtKkzxaTQweDCsXWnNgV02rF1pzeDB2csEpU3NGj/WmrjTHhgzcn8tjRkKcac9GD/OOuu5C6Ko9f+qiL+/P/v372fFihVcuXKFzp07M3nyZGJiYiwtmqSCURSFkW1GcmHKBV7t+So/nvkR3899SUirZumFkkrBHEVvLYQ4ByCE+AV4GFipKMrDQPX5VazpfPwxfP45nDwJfn5qZH4ROcUm61efDhpd7ig0fYw9ts7pFlV8xU0GCsIcT4A5Vn91QqPRMH78eIKDg5k2bRpfffUVXl5efPvttxirYnShpFxxsHZgfr/5nJ18lg8HfIiTjZptcCHqgoUlk1QlzFH06Yqi1De9yFT6/YB5QKsKkktSUrRaeP55tdjO+PHw0UfwwQeFvt1k/VppFIwZ2V8DYVBIPNsID7+Yaqf4zPEEmGP1V0dq1arFp59+ysmTJ/H29mbSpEkEBARQo2NVJFm0dmvNUx2eAtQiOz7LfHhi4xPcSrhlYckkVYFig/EURekPRAohTufZ7wJMFUK8V4HylYoaH4xnDkeOqNH4Li5w7JjaIrdt26zDpqC4jXviSfO4jr1nLOl37Ek824jadTPwGnSD0E3VIzitJNTEXPu8CCFYs2YNs2bN4vbt20yaNIn58+fj5uZW/MmSak9yejLz989n4cGF2GhteKvPW0ztOhUrrZWlRZNUMBVeMEdRlF+FEI+Uy8XKiFT0eejdW03LmzZNzcPPrK5mNMKff8JLr6UR9l8GdnWSaeQXg00tPfGBNUfx5cVohB07YOVaPTfCBZ4eCuPHWTNwYPWqnlcc8fHxzJs3jyVLluDi4sL8+fN55pln0NaACouS4rkYfZHpf05n26Vt9Gzck30T9t3dhZbuAipD0Z8UQnQol4uVEano8xAdDa+/Dl9/rQbwLVwIjz+OKQLvblF81ZHyKOl79uxZpk6dyt69e+ncuTPLli2ja9euFSu4pEoghGBz8GYS9Yk81v4xjMJIRFIE9R3rF3+ypNpRGYr+hBCiY7lcrIxIRV8Ix46pxXaOHoW1a9UofUmVpTyXGYQQrFu3jpkzZ3Lr1i2efvppFixYQJ06dSr2ISRViu9Pfs/0P6fzf73/j+n3TJfu/BqGLIErUTvjHToE69bByJHqvsOHITbWomJJCsbckr7moCgK48aNIzg4mJdffpmVK1fi5eXF559/jsFgqLiHkFQpejfpTZ+mfZi1cxZ+X/qx++puS4skqQTKU9HLxZ9ypkJqsms0MGaMWnQnLQ2GDwcvL1i5smoWe7+LqYjiPk5OTixcuJDTp0/ToUMHpkyZQteuXTl0qIiSspIaQwvXFvw+7nc2j91MakYq/Vb1Y9aOWZYWS1LBlEjRK4pipyiKVyGHXykHeSSZmNy2MxfEcM05GNtegVxzDi7fnuw2NrBlCzRvDhMmQK9ecDc3SykBldEYp6zFfYqSsU2bNuzatYuffvqJ27dv0717d5566ikiIiLK7wEkVZYHvR7k3ORzvNXnLfo17wdAakYqekPVrwwpKTlmK3pFUR4ETgF/Zr72VxRls+m4EEKWwy1HytNtWyQdO6oR+d9/DxcvQqdOcO5cOV28+lKUkqyUSRhlK+5jjoyKojB69GguXLjAK6+8wurVq/Hy8mLp0qVkZGSUz0NIqix2VnbM7T2XwS3V/Nn39r1H+y/as/PyTgtLJilvSmLRzwO6ArEAQohTQLNyl0gCVIzbtlA0Gpg4US22s2wZ+Pqq+0+evCvd+UYjvDQ7g+fnxnA46QJhjU5xOOkCz8+NYeYrGWzbVjmTsLIU9ynJRNHR0ZH333+fwMBAOnfuzLRp0+jcuTP//PNP+TyIpFrQo3EPDMLAwNUDGbV+FDfiblhaJEk5URJFny6EyNv/U5bArSAsUpO9dm147jn17+vXISAAuneH48fL/15VmG3bYO22eJTOZ7BqdhubBrFYNbuN0vkMP26L58OP0ytlElba5j5Quomit7c3O3bs4JdffiEmJoaePXsyfvx4bt+WzVLuBga3HMyZ58/wbt932RKyBe9l3qw9s9bSYknKgZIo+nOKojwKaBVFaaUoymfAwQqS667H4jXZPT3hm28gNBS6dFHL694lzVIWfqpH0+o6Nm4p6GwNaHQCna0BG7cUNC2vExhkwN49lbg4uHLVyIUQI1euGomLA/tynISVtrkPlH6iqCgKjzzyCEFBQbz22musW7eO1q1b8+mnn0p3/l2Arc6W1+99naApQdzf6n5866rePbl2X70piaKfBvgCacCPQBwwowJkklAFarIrCjzxhOrOnz5dVfpt2hTZKKemcD7EgE29BPIWEVMUsKmXQJpeEBpkQ9h/Gei1aWgcU9Br1eqCoUE2NGpo3iTMnIC+0jT3gbJPFB0cHHjvvfc4c+YMAQEBzJgxg44dO7Jv3z6znk1SvWlSqwnrR62nfb32ADy16SlG/DSCa7HXLCyZpDSYpegVRdECW4QQrwshumRubwghCjYZJGWmLG7bcsXFBRYvVtfr584FJ7U7FlevVsrtKyO6PR9CwRBfsJI0xNuiRUPEsYZYOaXlsvitnNKIONaQtq2Ln4RVdEBfeU0UW7duzbZt29iwYQNxcXH07t2bxx9/nFu3ZLOUuwUhBG3rtmX75e34LPPh3X3vkpohf/qrE2ZXxlMU5S9gRAHr9FWOmlIZr8qWpj1wQK2f//TTMH8+uLtXyG0s1YCmd/90Tt2MpsHDp1G02f8/hEHh1m9+2MS7oqsfQ2qGEce2YVi7JqOPURsC2VppuNfHlXWrilak27bBzAUxNBselGsd3ZihcHVj2ZsJVcTYJScns2DBAj788ENsbGyYN28e06ZNw8pKVle7G7ged52Xtr/Er0G/0qJ2C34e9TMdG1SJYqiSTMpcAldRlE1AB2AnkGTaL4R4obyELC9qiqIvjPKof14m4uPhrbfg009Vi/+992DSJLVVbjlSUmVYXuOyZQuMn5KI0SUex3Y5FPmZRmjinKlby5oGD50mMcKO8NOupMZbYeucjodfDI51U0j7pz0HdtkUeY+x4/Vccw7GvXX+eXNUiAtN471Yu7JsyzMVNVG8dOkS06dPZ+vWrfj6+rJ06VL69OlTJlkl1Yedl3fyxt9vsGnsJuo71kcIIZvlVBHKQ9GPL2i/EGJlGWUrd2qyoq9SbVbPnYOpU2HPHujbF/76i3wL22WgJMqwPMfFlF634c8UUpRUDHoNWmsjdsKWR4bYcfO2kesuZVPSPfunYdsrEDvXtHzHUmJsSN2fPVmw+MSuAIQQ/P7770yfPp3Q0FDGjh3LokWL8PDwsIxAkkrFpNyNwsjAHwbSq3EvZveYjZ2VnaVFu6spc617IcTKgrbyFVNSHJVWSMccfH1h9261QY6pG54Qare8ElLQWvyZ0wr2ruZFjpfnuGg08PGHOr5e5ET/ji608XSkf0cXvl7kxEcf6Jgwruzr3+YGy1VWcZ6SoigKw4YN4/z58/zf//0fGzduxNvbm4ULF6LXywjtmo7Jgk9OT8bd3p15e+fh+7kvvwf/bmHJJAVREov+KgXkzQshmpe3UGWlJlv0leHyLROrVqlR+u++q+bkm+HOL8waD9nZEBundDo+fgklz5Q077NW5rhkZMDIMQb2HE1BWKdjXzsNl4YpKHdcGBJgnvfA3GWJil7LLy+uXLnCjBkz+P333/H29mbp0qX069fP0mJJKondV3czdetUgqKCeKDVA3w37DvqOdaztFh3HeXRva4z0CVz6wUsAVaXj3gSc7FIIZ2S0KWLWkZ36lT1bzOapRRmjfuMvUDCHR0R52rnen9BlnNljYvRCLNezSAkMo7GA65Sr28IGs8IokKc8WngzIfzzVsiMDerolIrJJaB5s2bs3nzZv744w/0ej39+/dn9OjRhIWFWVo0SSVwX7P7OP3caRYNWMT1uOs42zhbWiRJDkriuo/OsYULIT4BHqg40SQFYfFCOsXh4wM7d8LPP0NEhFpZ7/XXizylMGVWy01Qt/NNQrY1KTbFsLLGJeekpEmHOLz80ul4Xzz3PHuBC//Fs2uXedcxtxhOlZ/Y5eGBBx7g3LlzvP3221nW/QcffCDd+XcBVlorZnafyannTmFnZUdKegr9VvVj04VNmOs5llQMJWlq0zHH1llRlOcAXQXKJikAixfSMQdFgVGj4MIFmDMH7rlH3a/Xq37vPBSmzBSgqU8ajepZFVsZrrBxMWQo3Drswc1wpVzy8M2xsM3N/TenGE5hExhhhLDj7oSFicqrL2Amtra2vPnmmwQFBTFgwADmzJlDu3bt2FGpASQSS6HJXGe7mXCTiKQIHv7pYR748QEuRl+0sGR3LyVZo/87x8sM4CrwkRAiuCIEKws1eY2+SkXdl5S334Zff1Ub5/TsmbW7PNbXCxqXxChbru72wJBkTcuhV3GsU/KxyhvxHnLJSNORZ6nbJI28PoKUGBtS9rWna0dtuX0+Ba3RCyOc/70xkaH2NLv3FnWbmH8PS0Tw//nnn0ybNo1Lly4xYsQIFi9eTOPGjSvmZpIqRbohnWX/LmPu33NJM6TxcsDL/F+f/8NaWwUMkhpIeaTXNRdCXMmzr5kQonJKpJWAmqzooQoX0imO336DF16AGzfU8roffgj165dbwFnecdFpFK7cTKPtxEC01iW/bkGTh9O/NEXXIpx6Xgk0aqTkUvZRIS5YB3kTqU8ot+C5gmQIO+5O+Hknmj18gcZNyJKhuHtYcpKYlpbGRx99xLvvvgvAG2+8wcyZM7GxKbregKRm8F/if8zeOZvLdy6zf+L+LKtfUr6Uh6I/IYTomGffcSFEp3KSsdyo6Yq+WpOUpFbTW7QIbG3h228xPjKqQhRQWT0FBU1AIs7X5uLB2rh0v4inhxYXF/W9Br3C2eXt0Sdaoe0QQq1msbi5anB2yVbEpY3+zzuBCQsTOHe/SOMOcfm8CkXdoyIj+M31FFy/fp2XXnqJX3/9lVatWrFkyRIGV4W0AUmlkJqRiq3OltuJt5m8dTLz75uPl7uXpcWqMZQ66l5RFG9FUR4BXBRFGZFjmwAUHP0kuasoUT16Bwe1kt7Zs9CrF7RooQamzVdK1aWtKMoayLZynR5nv3ASkkRWl7oE22jsXTKI2evF9VPOpMTYEBnswtHP/EgjnRRtCjYN7mQ1uQkLE1k5qeYGz+Udz0cn6hEC1ixX1/IbNVKo2yQ1n5Iv7h4VFcFfklz/xo0b88svv7B9+3YURWHIkCEMHz6c0NDQUt1bUr2w1akqI/B2ILuu7KLdF+2Ys2sOifpEC0tWszEnmM4LGArUAh7MsT8BmFQBMkmqMHktN4+GCvoUDcG3M63x5qlci7Jl5gIPdv5dhDXeqhX88UfWS82zkxiclsbghQuhYcMi72nuunIjD4VrUbYFVp9LirKlaTGR+DfCBPGtU0i5lUHaf84kXXEnI9EGjU0Gtg4ZJB1tTWqsgg0aHOsk0ObRIALXNyMj3g4btxS0NgbiY22Jj9Ph4mLePfO51wsYz9I+V1i4wKF5EROfoNJFRufMRDBNIuxc03BtHs+fG30YuCO/p2DgwIEEBgayePFi3nnnHXx8fHjttdeYNWsWtrbSfqjpDGgxgJCpIbyy6xU++OcD1pxZw8cDP2aU7yhLi1YjKdZWEkJsEkJMBIYKISbm2F4QQsh+9HcRBVlup2PD2XUyFl3X87iVtiKdEODpqQbqeXnBRx9Benqh9zS3MlxZMxSstAoxN62JP9WIhOC62HnfxHXAWRza3SA5XoedtYZ9O2xo4CFo0C0crU7QsN0d4k40JinShqQoG9IzBP/dFhjMvKc5Ff6Ke64nxlgX6GFp1LBiUhBL6ymwsbFhzpw5XLhwgWHDhjF37lzatm3Lli1bSiWHpHpRz7EeKx5ewYGJB3C3d2fjhY2WFqnGUhKn6ElFUaYoivK5oijfm7YKk0xS5ShICSVG2VCr2xUSUzOIz7EUXiJ3sKKoTXLOnVO74r38Mvj7w+nTRSq+bYfiee+9wpcMytrqVxgV4k82Rh9ni9v9gdg1jUbnkopdk2hq3XuBeCWRHTuylwiEEaIuO6GPtSN6jzf6O/YY0zXcuerE8e98GHRP8fc0R2kW9VyD7nFmx+6CJ0ZpydoKSc0s6xKJp6cnP/30E7t27cLa2pqhQ4cybNgwrly5UuR5kppBj8Y9+HfSv3w59EsAzkacZfbO2SSkJVhYsppDSRT9D0B9YBCwF2iE6r4vE4qiDFYUJVhRlEuKoswp4LiNoig/ZR4/oihK07LeU1I6ClJCqfFW2Lgmo7VLJzomt3ld4oIuLVqo7vzNm0GnA3d3Vq7Vo2sRRugNAxdCjFy5aiQuDtAI4lL0fLomulBL39yiNIWRIYxoDFo0DmlEb2/L7V86EbW1HQlnPNBaG3FoG8bKtfqsXPfIC7WJjdLRePxhXDuGk3axAbH7vEm/VhcbrBjQt/h7mqM0i3qu/n107Dha8MTowu04vOuVfuJTGOVVrKhfv36cOnWKDz/8kN27d9OmTRvmzZtHSkpK6QSTVBt0Gl1WNb2dl3ey8OBCvJd5s+7sOllspxwoSdT9SSFEB0VRAoUQ7RVFsQL2CyG6lfrmiqIFQoABQBjwLzBOCHE+x3smA+2FEM8pijIWGC6EGFPUdWXUfcVQUMe1k2ubo2kehp3nHYyJdni3ztZkZaoxLwRGodC4dQor0gZworkPq+55iDRhgyHFCm67c+eCG269LuHjk61IyrMG/Jgn9WzaqkdbNx7HdjfQuSSTEWdP0tlGWDmn4d4mknrX/Hl9pg0zF8QQp09F2zIMh2YxpkdAH2tLo/o60m+bNxZlzRQwne/WMo7IC7UJP107q42uo3safi4eTHzMulxTMysimj88PJyXX36ZdevW0axZMz755BMefPBB2Q71LuFw2GGmbJ3CiVsn6Nu0L58N+Qzfur6WFqvKUx617tMz/41VFKUt4ALULaNcXYFLQogrQgg9sA54KM97HgJMXfJ+Afop8n+7RSjIcvPwu0Pi2UYY0rRYW2XvL3OlPkVh+3YQKXEY0TB737ds+n4yvW4ew7pWKpEXamPrHY6NbekiyM3JFPBtaY3GIRW3AWexbx6FtVsy9s2jcL//NOlxNmTcqIunh5LlSo8LdUHjkIYxQyEjVYs+1hZnBy3OLuZ7N8oaVxAWLrB3TSXoj8ZcPFQbTfMwat13Dk3zMG5fteWfg4KBA4uuxldSyrpEUhAeHh6sXbuW3bt3Y2dnx0MPPcTQoUO5dOlS6QWVVBu6NerG0WeO8vn9n3Pqv1OsPbvW0iJVa0ry3/trRVFqA28Cm4HzwIdlvL8HcCPH67DMfQW+RwiRAcQBbmW8r6QUFKSE6njfoZZ7Brc3+6ONrV1u7mBQlwqcOqUw1m0dz456CytDOt//+BqfbHgP18RYsE7HzTX/V7g4pWpugN/5S3rcO9/EmGKNMChq70ajAig4tQ/nTlAdxo+zznKld25vBdEuGBPtsDbY0Ki+LquoTmKkLVo0xaYgllVpNvJQCD/pzp1IHXXvP4NDsxisXFJxaBaD24BzpFollnsr47IukeQk7wTsqxU9eP/9Uyxa9BH79+/H19eXN998k+Tk5PJ9CEmVQ6vR8nyX5wmZFsJrvV4D4K8rf7EmcI1055eQkjS1+VYIcUcIsVcI0VwIUVcI8WVFClcSFEX5n6IoxxRFORYZGWlpcWokBSmh6Esu2KQ5MqBDbdpklF8OPKjWqUeHKGrXyWB9yDP0G/wzi++ZSMvwGyQkuWKMdcDZJf95xa0Lm9u7PuymoFW7NJzttRji7DGkWkGGFo1Rh5WNAUdbXZbi1WjglRetsY9oROvmWpo30+CSWSzHoFe49EczrsUlFDmxMKUR3rptRJPswK2drbi10Z8mceaP5/ix1vx3sg4ObcNQtNk/hkKAUa+jYfebFdLxzpy6/cVR2ATslYUJhN9+gaCgYEaNGsW7775LmzZt+O233+QP/l2Au7079lb2AHx78lse3/g4fVb24cztM5YVrBpRkqY29RRF+U5RlG2Zr9soivJ0Ge8fDnjmeN0oc1+B71EURYe6ZBCd90JCiK+FEJ2FEJ3r1KlTRrEkBVGY5bb4dVd++UnLjyuseX2mDQJ4d5Fa6KUsjVYaeSgkx9jiM/Q6rQJiSLnWgvcSP6Bfm304NFPQXHRn7pev0CHoSNY55ri4zU0Ha+ShkBxtS/MWCs08dThpbNHp7bATNtTSOtIzQJNLkRVmjZ9d3h6to542jxY+scil5FyCqf9gIA0GXEQ4J9CwvsbsNfRBg8DRVoeiNZCRqs23jFCnSdXreGeiuAnYmTMNWL16NXv37sXZ2Znhw4dz//33ExISYmnRJZXEmhFr+Hro15yLOEeHrzrw4p8vEpeaP55FkpuS2FsrgO2AqZpJCDCjjPf/F2ilKEozRVGsgbGoywI52QyMz/x7JLBbyGm8xSjMcoPc1phNr0DOa4N5/MVoGrdKY8yTJVf6pqUCYVSo0yaW5vdfod7AIKw6XCMp1opeLvHUvXqbt794mdlfzEV7PNksF7e56WBZ989QcHGB5s00eLfW0MRTS/wZD27dzN0RDwqeCDVvaEOzvmqefa6xzDGxMNfLUBwaDfQM0FBL64i1wSbfMkJyVWhlXAjmTsDuvfdeTpw4wSeffMLBgwdp164dr732GklJSZYQW1KJaBQNkzpNInhqMJM6TuLTI5/K/HszKEnU/b9CiC6m6PvMfaeEEP5lEkBR7gc+AbTA90KI9xRFeRs4JoTYrCiKLWpqXwcgBhibt7lOXmTUfeWTM/Ja0an12OOTDGisM4je6Uv9ZqkosS4lql2fs0pcWsMw0m2SMKRakXzeAztbBWcba9rXtWX41Y95OHABGkVw7bHXafn1bDQ2VoVet6DIdmGEyAu1uXKgLpoER/r21vLEaGt2/p3BjqNl64hXULaCiZQYG1L3t1er3RURLe9fy4N1q8wLbDR9Fq73BXEn3oA+HaytoLazlpjd5ZORUBGYM04HduVugvPff//xyiuvsGrVKjw9PVm8eDEjRoyQ0fl3CWdun8G3ri8aRcOmC5toWqspfvX9LC2WxSiPqPskRVHcUEOSUBSlG2pgXJkQQmwVQrQWQrQQQryXuW+uEGJz5t+pQohRQoiWQoiuxSl5iWXIaY3Fx0F8kgHrWqlYOWTg5HeDhCibUlmnH32gY9wAV6L/aU7ysVYoNxrSumc0HR+/RItHgjgblUrtBW9gdzUIm4fvp/WFzWistEVeN29QoTCiRqkfrI2uRThNRp7lmnMwsz6IQVFg0ZxsC9022AsbxYqu005Tx8s8y9ucPPPiouUP/CPM9oYMGAB2ekdOr/YiNtweg0EQG27P6dVe2KU70r+/edepbEqTj1+/fn1WrlzJgQMHcHV1ZeTIkQwaNIjg4CrXPVtSAbSr1w6NosFgNDB712w6ft2RF7a9QGxqrKVFq1KURNG/hOpGb6Eoyj/AKmBahUglqXbkdIdHxxjR2qVjMqqsXZNJjbcqVfMUjQbOXdLj8/BVAp67QIdxV6jbJhZFk8el27gx/PIL/PWXelJUlNoKt4BmKXnX0sP+rUtUuDUu3S9SzyuBuk2ylff2I/FoNNlLFfUbgEff0Fxtb6HotL6cEwsBxMXBlatGgoIEITsb0qalNY0amhctb05a4M6dkGyViM99t1FuNCR+XxuUGw3xue82ybpEdu0ye/grlbKkFvbo0YNjx47x2WefcfToUdq1a8ecOXNITJTNUu4GtBoth54+xHOdnmPZv8vwWurFilMrMIpSBgjVMMzpXtcYQAhxAugNdAeeBXyFEIEVK56kupDTGtOng0aX/R9MH2OPrbNahqHE1fIoYYlVR0f132PHEBs3YvDy4Wf//+O+vnGFrqXf3N+Y2m0i8PTQ5uoxX5DyLk2515wTi6B/nAm9qCU23J7o/S2xcUrnxx1qedriouVX/Kg3Ky1w5To9tfzDqdfuDh3GXSHg2WA6jLtCvXZ3qOVf+i51FU1ZUwt1Oh1Tp04lJCSExx9/nA8++AAfHx9+/vlnGZ1/F+Bq58qyB5ZxbNIxWtRuwcRNEzkSdqT4E+8CzLHof8vx909CiHNCiLNCiPTCTpDcfeS0xqytwJihfrWEQSHxbCM8/NRqcaVpnlIal65x4GDeevwsO5wHM/r026w+7Uuj6K+zlCJkBxW2bqXQsl1aVjpcTvIq79LIUtwSRPMRanlaK6XoaPmz54V5aYFlrD1vKcorH79u3bp8//33HDx4kDp16jBmzBj69+9PUFBQxT6ApErQoUEHDjx1gL+e/IsAzwAANgZt5E7KHQtLZjnM+a+T85ereUUJIqne5LTGtLG1SYtwJPGqKxFb21G7bgZ1vGNLXS2vNC7d7dvh5/POLH3tZV6fspgMax0Ph/9a4Fp6SZR3SWUxudofnajns29TqXXPFdqMu4B/niWIWv7hONhTZLR8YqIwOy2wIrrUVQblkY9vIiAggH///Zdly5Zx4sQJ2rdvz6xZs0hIkM1SajoaRcN9ze4DIDIpknG/jqP10tZ8d+K7u9Kdb85/H1HI3xJJFjmtsTYZXhgPdiBhbxvqNU6jacBtoi+VvlpeaVy6OYMDA706M/2V5SwdOxuNTtDecz9Jr7wBmc1SSqK8SyJL3gIwGbZJ4BZH2H8ZhIWJXP+ZHNxTcbDVknHJg6aeWrxba7KK7ohMORzsNNi7phJxvjYn1zbn0FdenFzbnIjztbF3zZ8WWJKJUb61/yf1vP22Wu+/qEp+VR2tVsvkyZMJCQlhwoQJLFq0CG9vb9auXSvd+XcJdRzqcOSZI3i7e/PM788Q8F0Ax27eXVlZxabXKYpiAJJQLXs7wFR7UgGEEMK5QiUsBTK9zvIYjbBjB+XWPKWk1ysqVWvY5nVM2rUMmjaFTz7BOHQYM+cY2H4kO42uqJQ5c2XJ2+zF1ADIvmlMVrMbl8zKflEhLjSJ86J+XQ2/7Y2HJmHgmAKJdnCtEcP7OBP+n5EDQTGkZhhxbBuGtWsy+hh7Es82wtZKw70+rqxbZZ0rLdHc58n5fnv3VEKDbIg41hCn2hn43H+D5JiiUwirC0eOHGHKlCkcP36cPn36sHTpUnx9ZbOUuwEhBKsDVzNr5yz+v737Do+qzB44/n2np1cCJKEKaXQEFBuiiMjPXhY7q7t2WREbgrJ2F7Gtva5iWdS1YEGlKIoNO6Gk0EtCSW+TTL+/P24Ck5CQQpJJOZ/n4clk6rkzE869733fc0ocJey8eSdxIYfbrqVjaWh5XZPX0XcmkuhFY13gpm7cw905N0NGBpx2Gr4nn2LZ1kGt2tWtbgx5GVFs+imKuKnr8LoNWLxWBg4w7O/y9ujsaJZ97eHDL6uoUg68LgNGi48gzcZ5pwUREWLisbcKiDtjDR6XAZ9XYTBqmCw+8j4dyR1/jeWuu/TXbs6OUd0dktJSyNnrwRzmJP+LYQweX0RcWkmrdgYMJK/XyyuvvMKcOXMoLS3lH//4B/fccw/h4R3umEW0gVJHKd/t/I7Tk04HYNmWZUwaOAmD6qR7r34k0YtupUmtU092w9NPwz33wHXXwfz5tZ6jpvb8wndc5ORqJCYopl9o4dRTm5b8644q1KzXL843EZKai9Hqo3dY8P4j5ZMnmLhtfsMxx5rD2ByaiaFnEYYQJwaTD5/HgM9uxbcvmuPDU3j3zeZ3C6y7Q7J1mw+X0YnJ5sW+LRrf1kRGXaSXrzis1sMdTGFhIXPmzOHll1+mZ8+eLFiwgEsuuUSK7XQjP+36iWP+cwxj48fy7NRnGZswNtAhHZbWKJgjRKfRpHPpZjPMmgXZ2ew/FP72W3wffMSSzzTSRju54Ao7X/1RSkWvHWwPO3gp26HUnRSnDOyv2+9Y35+qb2rPKn/zvUOXgF2X4cUUaScoxoHJ7EMBJrNP/z3SzobMlu20152l7788sqYGQo2OPGu/uWJiYnjxxRf5+eef6du3L5dddhkTJkxg7VpZNdxdHJ14NG+f+zY5ZTkc9cpRXP3p1RRUFgQ6rFYniV50Sc1aqtW7N4SFAaA99TSG888l9JJJxMR+Sc8LfiVoxDZ2rg8lf2ME/c9qenW/+ibFKQPEJpXSI8rIwheCas0qb2xZnNOt4XWYMZnAalXYbAqrVWEygddhpqLCbxSgCYV1atTdIfFfHulfAwE6/qz9lhg7diw//fQTL7/8MhkZGYwePZqZM2dSWirNUro6pRQXD7uYrBuzmDV+Fq+teY3xr47H6/MGOrRWJYledFktWaq19Ip3eGjgQ4x2/MzKby7g9j9eIDZhN3FT11GcZ6Jwc0STq/s1d7VAY8virCYDlRkJaN7aiVbzKioz9Fn50HC714ZGI+rukMREG/BWmfF5atdAaOnyyM7AYDDw97//nY0bN3L11Vfz1FNPkZyczBtvvCGz87uBcGs4j05+lPRr03ni1CcwGox4fV7+3PNnoENrFZLohfDz+v98fDr1dCZf8iafpU7gmh/fZeqGb1FGjdChOeSmR+8fvq7vqHnJEliyRL/uhMlO9uzzcdEp0fQrbbwATGPL4oYNMRBkVeR9Pgz7tmjcpTbs1bUKgmyKYcP0+ze3E17dHRKz14oqiGb3/47EZjYQGlfVrAp1nVl0dDTPPfccv/32GwMGDGD69Okcf/zxrFmzJtChiXaQ1iNt/yS9N9LfYPRLo7ny4yvJs+cFOLLDI5PxhPBTM4FuT2kVLqOTkUUZZPQahM9gZHx6OhmZx6OmhNGvNJnePQ21lqTl77Cx7Zt43OVWep6wlZ4DnBicNsqauCytsWVxJ08wceu/ighL3cPu9Qe628UPLaY8szdPzNVnwze24qC+yXR1Z+knxiuGJllYv9FFzu7WWYXQ2fh8PhYuXMjtt99OUVER119/Pffffz+RkZGBDk20g3JnOfevup8nVj9BqCWUByY+wLVjrsVoOHTTrECSWfeiW2ruzPmaJGnuqRe2sUQ6UAoMPi+fPX0tCRX7eCPhWgqmP8Qbq1y12vIWl/rweDXKfhpEWEoetl5lhIcYie9lYPshlqX5x7grR8OIgZJSjX0FXjRNkTrYyO03mzn1VLjtzto7AhX5NnZ/058Qk4XoGOiTqFiXruh11hqCY5ve7rWl71d3UFxczLx583juueeIiYlh/vz5TJ8+HUN3fUO6mcz8TGZ8MYOvtn3F+Wnn878L/hfokBokiV50O80tHAMHluX1PyeT3Xt9lNm91Z34NLyL43kofz7TSt6iMDiBJ46/ifSpR1NapsjZ68Gj+VBWN849ETiy4+k1NWN/YRz3voaPpGsVq4l2kLmkD+UlJuLG7KZ/qpNKv5gfecjEihX6kffOHI3CAoXDUkGvo3MJrd6+jcvjsYa5GX3pZuouDT7U8riWvF/dyZo1a7jxxhv54YcfOProo3n22WcZPXp0oMMS7UDTNN7PeJ/Y4FgmDpiI3WWnwlVBz9CegQ6tFlleJ7qd5p6rhgPnq7d/lIqtMpJYWwjubT3J++hILEFJhL39Jr7vf6TA2IMHlt5O8vYN+9vyal6FMvowR9nx2K0oBcYgN4VFvgaXpdWNsSIvGIfHR/wFv6PFFuE21o55xYoDEwznzLJS6XXiNjrYvLIXWUsT8HkMpEzLorzYRN6GqFqv5T+Zrr75BQ880Pz3qzsZOXIk3333HQsXLmTr1q2MGTOG66+/nqKiokCHJtqYUooLhlzAxAETAXjwuwdJeiaJp35+Co/PE+DoGieJXnRZ/vXu/R2qd7z/srwBZclY1gxnfEgK7zwdw4Y/LUydCoZjx3PPWT9yy+nPkD1gKC43nLjjZ8K8djSvAXdxCKYQZ/Vr+XC5G16WVjfG3PQoQofmYDBp+3cSNB8UbIwkv9jL9Gur9k/6u+VOF6U+O8ZBOUSetAHDwBw2/RTF3p/60OPI3Wz8ol+9s/0nTap/Vv7jL1fgjM9BNeP96m6UUlx++eVkZ2czY8YMXnzxRZKTk3nllVfwdbZGAKLFpo+YztGJR3PTlzdx5EtH8t2O7wId0iFJohednscD990H/VMcRMZX0T/FwX33wc5dLWvX2pRleZdfHMQXpRfh8yh6ukt45sP7WLloOmes+Q772gTCUvRZuj6PAbOh4WVpddfOO8rMWKL1dhIGkw+nS6+mt+mnKGxDtxN0op6Ur7ujnF1l5fQ8fS0hA4owRzgIGVC0fxlguNlKYk9zvTUEli+v/8jdFO7AbbVTVs/y8a5UKKc1REZG8u9//5s///yTlJQUrrrqKsaPH4+cMuwekmOT+fKSL/ngLx9QXFXMCa+fwIIfFgQ6rAZJohedmscDRx3nYsEbBbhHrCf67F9wj1jPgjcKyM6C8vxDt2ttTmEZf/5L0spcA7hg8nPss8bxzMoHWbL5IpJLN+EqsVGxqQf2H4aQHBfB6/89+DXqrp23hbtxFQUD+k6CKzeK4nwTcVPXYUssIaQ6KXtDywkekoOnzpp6/2WAw4aoendWGhrpsEW48DrMFBYdvPFdsVBOaxg+fDirVq3izTffZOfOnYwbN45rrrmGwsLCQIcm2phSinNTzyXzhkzmHDeH/0v6PwBKHCW4ve5GHt2+JNGLTu2hh2BjQRnxF/xOeFIB1pgqwpMKiL/gdxzWcrYv69/guvTLplmaVVjGX922vH9supQTg1bzz2EPMJz1fPrFlXjf7U/EtlRG9w8nO6+UHREHv8Zlf6m9dj5hRDEV6xPxeRTeKjPOXTGEDs0Bg4a3ykxMtP4n66wwY+tZjrvCTN35tOaoSqrygxssbNNQBb6EEcVUZiTgdChKS/Wa91kbfWzZrLFntf5+iYMppbj00kvJzs5m5syZvPrqqyQlJfHiiy/i9XatCmviYCGWEB48+UHSeqQBcO1n1zL6pdF8u/3bAEd2gMy6F51a/xQH7hHrCU86uD516cZY7N8OJSGpssF16YdqItOcLm3+69BLtxdwilpF6uwL8XrhnTmfUTQ9EkN1yXgNKClUZL6TQpw1jPJyRYndjTHUSXCkE2eZBZfPR8+xuyn+M4HwEzMwmL2EhxhJTFQo4M9FA1H9clFhVRjNPpx7w7FvjcVTYQWfIlqLYttGvVxuXQ2ts9d88Pubg6goMhM6fBfWnuV4y2yUpffBXBnKZRfYeGx+95553xTr16/nxhtv5Ntvv2XMmDE8++yzjBs3LtBhiXbycdbHzFw6k+0l27l42MUsOGUB8WHx7fLaMutedEklZRrWGHu9t9li7CilNVjvvrEmMs2ZfOZ/Xv/zb+O5+ZsLmTIFfnr2O95cewbzn7uR/rmb0YCcHI3dBW6sw7exq8BBua2QkKM2Ej5+I4a+eSijxojESMaYUzA5QqAwgsRepv1JHvSj77L0PoTYFO51AynP6klQ0h5iTs4gdMhujDHl3D6n/lGJhirwaT6FqSqEYJMFw944Kn5IQduRQMqEAsbNSGfpzzLzvimGDh3KypUr+e9//0tubi5HH300V111Ffn5+YEOTbSDs1LOIuP6DOadMI8PMj4g+Zlklm5eGtCY5IhedGqHOqIv2xiLOX0o27PqP09ft42sv8MpLAMHblu6zM11gx7i9j+eJcxRwUfjzuH+odNx9jRRujae0nW96XvRH2DQ9q+5Dws5MKKgafW32/W6FL88PQKjRcNhstPz9LVomj7c31iRnkOtl9fKQog4fiM9mlFVr7V0xWI95eXl3HfffTz55JOEhYXxwAMPcM0112A0dtzqaqL1bCnawl0r7+LfU/5NXEgcle5Kgs3BbfZ6ckQvuqQrL7ZR9nv95+HLfu/P3y+tP8lD401kGpp8dqimMbfc4WHW7X63JZSzMP4cJl70Bu+POINzV3/Ahx9eh1HzUp4dR9jwHJRRq7Xm3n9EoaHGONs/TuWyC2yk9LMSlZaHVmXD4rXuP/I3NnEJYd2RjugYCG3BSoXD1dxGPJ1FWFgYCxYsID09nVGjRnHDDTcwbtw4fvrpp0CHJtrBEdFHsOi8RcSFxOHTfJz8xslc+P6F5JTltGsckuhFpzZnDiTFhrP7f0dStjEWZ2EQZRtj2f2/I0nqEc7s2Q0/trEmMg1NZjtUIZ6Pvinjwy+r9t/Wd2whVdnxVPawcucxN3HW+S/xxIS/4tVMeAqDGGZZv/95a9bcw4Gkeqik/Nh8E15NY9AwJylJBgYOMBARwf7h/ZYsIeyT2LKdn8PVkuJGnUlaWhorVqzg3XffZd++fRxzzDFceeWV5OV17mYpoum8Pi+nDTqNj7M/JuWZFJ7/9fl2e21J9KJTM5ng5+8t3PFXfZi+aPE4zOlDueOvsfz8naXeyWg1mttGtkbN8jRl0mrNTt++y4snMYcqHPuH2XukFBPVw0P+F8Nw5ofyp2UYH5nPIu/zYUxnEUs/+Ct3ffkc4VXl+DwGLNUT9vyT6qHW9Td1VKKpywhbuvNzuFpS3KizUUrxl7/8haysLO644w7eeustkpOTeeaZZ/B4On51NXF4zEYz8ybMI+P6DCYNnIShbn3qNiTn6EW3VrdrW1O6tB03yYn1uLXsLnFQbveB0vRKdmYfVfnBlH09lJPuTN9fZ17zQX5WJDt/jaV8RyQmm4ek03YQ5ipl2mev8LeihZQEhfHIUVez+sTTCQ0zNnnWv39t/gq7RmGRPipgNigqfxzCc/fqz9HQOfmUXuGYbT5yd+vnxC/7i4XlKz0s+6V96923dL5EZz6vn5WVxYwZM1ixYgUjRozg2Wef5dhjjw10WKKdaJqGUq07QiZNbYRoJRde7uJHexa+mCKMoU6U0YfmNeCrMuPIjaRs9SBGnreTuLSSWo8r2BhRq71t+PBc9qRH0yc3k8dLb2Nc0RqWDj6Nm3u91eSk6vPBrNs9LPqiDMPgnfuXxJX83g93fhgxMYpBAwxs2+Nk6BVrMVr0v3cN2LkDti1OITGtnIQjC/Yn9FOPCueUiSbefLfpOz+H/Z62sLVuZ2/Co2kaH3zwAbNmzWLXrl1cfvnlPPLII/Ts2bGapYjOoaFEf4iBTSFEfdIGWfjktd70ODcXg0Uf+1YmHygfFWv74HWaWPdxH/rsDMNeZMZRbsYa6sZYEcbdj+jD7qcui2bholCMFg3TwAncrlYzafdbGOJ78fgt0Uw+rhJDSRlER9d67fqOYFMGWLAoM769cVRsSsBVYQajl9ip6zCYvGwpC6HcF0f20j6k/t9OlAHKSqHC4SHy6K2Ub00kKNpJULST6IFlLP0olVNPjm6z2fX1mX6hhVseTiB6YNlBNQ1K0xOYPufgWPzP69c8pmYbvvwolcnLml4HIVCUUpx//vmcdtppPPjggzz66KMsXryY++67jxtuuAHToc49CdFEckQvOrVADN1Ou9zF578UgclDyLAcTJGVuAtDqFifCBr4fArlM6B5jISPyMHWswLXvjB8m/ty8WnhTSs6c/fd8Pzz8PDD8Le/gcHQ4BGsf1va/KwoNv0URdzUdWDUcFUacZZYMYU5KFo+hH5jiuk/poRt23y4jE40p5mSr4cw/prs6lMMUWz9Pg5DeSgTJxgbfS9b6/1vydF5S0YBOrqNGzfyj3/8g6VLlzJs2DCeeeYZTjjhhECHJToJGboXXU6ghm6PPdnJNuM2SrdF4S4JQtMUxmAnYeO2Yo4pp+DjIzFH24k7bR3uChvBFiO9eipCQ9RBa9sbTJS912L4x43w3Xcwdiw8+yxfFIytd019ZqZG4XeDSDqukNz0aAwDcwgeUITbpeFxK9ylQZjDHTj3RGJfn8gR/7cVe6WGIbSKql1R+LYmMnLaVjI/60txvomQ1FyMVh+9w4IP+V56PHDBRR5WrSvFlppLSEwVNl8wns0te/+bO1/icOogdGSaprF48WJmzpzJzp07ueSSS1iwYAG9e/cOdGiig5N19KLLCcSSLJ8PCgsUFbsiCR21nR7n/Eb0SRkYwxy4dkfhKQ1BAaHDcjCawRTkosqhT5KrsGuE+80gP+Ta8f+m4Vv5Lbz1FuzaBUcdRf68BfXOTLfaNILTcslNj97f/c7nBY8XfF4DaAqP3YIp0o7mMlFm96IAr9NIxfpEEkYUkZ9Vf/Ocht5Lnw/On+ZlxZ8lRE39k9CUPWhRZVQEF2Ial9Gi978pXQP9tbQOQkenlOKcc84hMzOTu+66i//9738kJyfz+OOP43Z3rGYponOQRC86rUAsyVq6FByWCmJOzCaobxGmSAfWvkXEnLYWT2kQZT8dgcHi1YfzPRqYvGDQh8lz9noo81TtX9ve6I7KcgWXXALZ2TBzJl8bTiQk1kGQoxKD70CzlJhoA0abG0epBVu4G2dRMC6Xhgb4HGaMYQ4waDh2ReH1gMdppDInkn2fjCQy1kOPlBJy06PqbZ7j/176L9EbPtbJFyudhI3ejinEg8GkYbJ5sUQ6qHB4MA1q+yVxgVoK2F6Cg4O5//772bBhA8cffzy33HILo0aN4ptvvgl0aKKTkUQvOq2GurBB21VxW/iOi15H5xIRbsBTHoTmNoJPoXmMBA3MB68Rc1QlnuJgfTa+z4DB5NufBIv3WCgrUVw43cXl11aRu9PIL68k89MLyfy5aCB5GVGAhi+ylGtnOvQ17zNsfHHK4ziSR2AvsHHde4/y6GPXkLR9AwDhEWB2huApsxEa66Tszz54HCZ8FVaUyYvB5sYU6qBycy/cRaHkLRlG8XeDOXlEFFZnKIWbI6gstGIIceIqsREeYiQ84uD30n/0wTVqDYbQKjSLE0eJhZp3uqbCn8NQ2eb961taB6GzGTRoEJ999hkff/wxdrudiRMnctFFF5Gbmxvo0EQnIYledFqBGLrNydUIjXWQmKgIthjRqiz4Kmz4KmxY48owBbux9SmkYkMCmkfhqzJjDtKPvjWfojyrF1t2eNkelo0rshCPrRKO2IVt7EbUwBw2/RjF908PYVd6BPnucjJ2VfDVH6Vcc1s5DruR0vQEfkk9luiyQh57/Fpm/PdfhJWUYN2dyK3XhDIyMgHP3igKPxuJKz8czadw7Iyh8MvhmGMqiJmyDlOYA3OQl6v/ZuSJuXrFvYaa59S8lyaDqjX6oAU5scTY0bxGfZSg6kDtdoPJh70wqM2Hzg9VNbAzLK1rDqUUZ555JhkZGfzzn//ko48+IiUlhUcffVSG80WjutCfguhuAjF0W7NzoYBePRVmkyI0Tk+crvxwvXhOeBVoivyPxuLaG4XmMmPfFs2+z4ZhtLqx9bDr6+49ih6nryE0bTcqyIm1VymREzOoLDOBzUn4mK1En7qOoBHbqDCW893vVSTHhbNw+wz+Mu1T3j3mUk76ZSkv3HcpM3r9ypw58M4bFkaOVPQ9sojKrN4UrxhCZVZvQobsJuqEjVii7biLQug9Kp8333XtPye+8AUbwXmJhIXUTvI176XmU7VOk1jMEDKwAPu6RJTFg9sv0XudRpyZ7TN03tzz+p1dUFAQ99xzDxkZGUycOJHbbruNESNG8PXXXwc6NNGBddE/B9EdBGLo1n/nIjwCwkOMuEpsek/4jfEYnTaKvhiBwW2hT6od896elH49BN/WRCIGFRKSvI+gSBe56VFEjMjdX5jeEOTGXWWkYnMs5pgKIk/IIuyIYswRDkIGFBH3f+vwBFdQVKy33Y1zjObpoFe44/TfcIw9kWueGK4nN6eTPomKqHgX0cduIfrkTKInZhHUtxDNZcKRE401xEv8qIJaQ+uNvZcezVfrNElMtAFrrzIsEQ6KVgyhcmcU7lIbFdui2ffJSE4YHtFlhs47ooEDB/LJJ5/w2Wef4XQ6Ofnkk5k2bRo5Oe3bLEV0DrK8TnRqLSlhe7iv57+kLzjWQf4OG7t/jMfmDuW4YxVDBltYtLz2MjjNB78vi6T4t75YQ7y47CYij9pGUEouPg3QwFseRNH3gwlJy8ESXUlonLPW0XXF5hicPw4jb0cDHfk0DSZMIMd6BBeWz6boqDyqcOHzKHxe/Ui9dFUqyScUYDRrB60zP9R7efEVtdesa0BOjkZphZeydfE4NvfCFORFucycdHQQ7y0yHrLPgGg9DoeDRx55hIcffhij0cjdd9/NzTffjMXSuScjiuaTdfRCtJLGdi5qdga+XF2GFlVKaW4QJbtC8HgheFAeEcN3U7k7nMpNcZjDHUQfvxmfpuGz2yj8KpXIEzMwB3kJjtZnrWuAzwuVe4MpWDyWs89ooJCNywXz5qE9/jgOQzD/ipvNqyMnYe1Xgbs4mIr1iUTFeUg+dRfbPz50Lf266/uNGNhRWk7axZkYTQfK6JYUKjIXpRDiCcdg9hIaqhiapr8fnaHefFeybds2Zs2axeLFi0lOTubpp5/mlFNOCXRYoh1JoheiHXk88JfqYjLmpFwIs6O8+mQ6Y7CL8KO34HMZKf1xMMH9C7AllDKgr5Gsjwai9cojIjUfc5AXDXC7NLxesGf3wrexL0mTdx+6KFBWFtqNM1BfrSDLNowLQt5mb+9eJI4owhrpomztoQva1FeIqCLfxubPBmAMdTFgYi6h1cWJStYkEOwJpcpc0eZFizpzA5v29OWXXzJjxgw2b97Meeedx+OPP07fvn0DHZZoB1IwR4h2tHw5ZO0r46hrsogeVEJofAWhA4uImbIOn8OMOy8co8VH0MB87Bt74bVbKNkagc0ZhjOrDx67BY/DiMelcDuMeMpsVGUlcMTEPY0XBUpJQS1fBu+/T/LYSB575QgmjY4gdE9fBpQ3Piu9vvX9PZJLGTcjHStmbNkHZrhfPDmaKnNFmxctOmRxodmeg9rtdmdTpkxh/fr1PPDAA3z++eekpqby0EMP4XQeXEFQdA9yRC9EEzT3aNK/DnvWRh+G0CrcXh8+peHYGY09M56YUzbgLgyl8LORWMM8RJmDeO5xG8u+8rB4VRn0y8FlqcJdbsG1pTexCS5ST9+5v/1ts+q5OxwwfjxMnw433sihTqD7x15T/z43PQpHmRmlIK1nJCuXmTEYDq43r6E3zCks8lGyLRJzZhLPP2E77KPumna8dcv/+jyqyS19u6MdO3Ywa9YsPvzwQwYPHsxTTz3FFHmjuiw5oheihVpyNOlfzMdiBp/HgKaBUhrmKDtalZUgm8LoshI7qJyxl28mMVExdSo8vsDEC/dHMz4khcpvhmPa05uUCQW1kjxAcKyDdRs0Lpzu0gvrTHfxxRfUf3RbWgq9esHNN8OoUbBqVYPbWxO75oPMz/qy6acoDANziDxpA7ah20nfUbZ/u/23s2aCXs5eDy6jE2vvYordVa1y1B2IKohdQb9+/fjggw9YunQpSilOO+00zjnnHLZv3x7o0EQ7kkQvRCNaUlPfv5hPTLQBb5V+NIymcBeHYApxonnV/lrz/gV+/NeGTznFSP/x+cSlldRK8hqwPdNKzj5303Y+evaEzz+Hjz6C8nKYMAEuvRQqKhqM3b/+fciAIswRDmyJJcRPPVDL3n87y0qhzK5XADTZvHjKggjrWdUqw/iBqILYlUyePJm1a9fy8MMPs2zZMlJTU7n//vtxOOp/T0XXIoleiEY09WjSvxb8unTFxuXxFBcqwsP19faesiDcFWbK/+wLVhd7Fo8gqoeHmEGlDRb4aagoUEmhIu+3eJJO29H0c+NKwdlnQ0YG2l13U7huNxddb+LYk51MmOTmxMkujj3Zyd49kLuyP7v+0OvfK2P1LHsNvFVmYnuo/dvtH19hkQ9jkBulqLUT0xpH3V21gU17slqtzJ49m6ysLM444wzmzZvH0KFDWbJkSaBDE21MEr3oVvyTcaPD3dWacjRZd3i/11lrsIa6SX8rmcwfw3GWWnHmRlH4+Uhc+WG48sPwVlqoLLawbXHDBX5OPRUmjwtn3avDWf1SMj88k8rql5JJf2UYoZEe4oYU17p/U5KqzxbMLMc8Tgh/j23hm6iqyOJfPx5LjH0hxUnpOJKycWpuCrKiUMFOfB6Fx2GsVQe/ZrtPOQWSe4az+sUU8rIicZRYKN8STd7nw4iK0xvm+L9PLdXVG9i0pz59+vDee++xfPlyzGYzp59+OmeddRbbtm0LdGiijUiiF91GS2duN+Vo8osv4KNvymDUBgooZm95FUecuZnkifvYvWwwW94ZStnPAwmxGUiaupP+Z2TTa+oG3BVmLjm18drshiA3Icl7CB+/mZDkPWBx76+hX1djSbXmVET/c7PRvAYiiveQaN3FBz9ezfyv7iQ+eDNH/j2T4LhKHBkJ+CqCsHitterg2wtsJMYrbrvTQ9beMuKSyqj8sz/5Xw6leE0CpvhCrEO2U1aun2Y43KPu7tLApj1NmjSJ9PR0HnnkEb766ivS0tK49957qaqqCnRoopVJohfdRkv71zd2NHnZNAu3zHXiTNiJ2+LAEFqlt6Xd52F7eiiEVxAxMYMe5/6GbdQW9qyLwrmhPynJisGn7GbDJtchl7ot+6WMIRdnMmxCGcOOdDNsQhl9zsigtNBIflbkQY9pLKnWnIpQJo3tv0aRNSqKU6Y/z5PHXMIpW7/nzScv4fxv/0vf43Jx7ogjaaCRgQMMREToFXtrtnvIYAtLfy5j4LmZHHFyLuG9HBjMPmJO2UBQSi4Og96ad+cODvuouzs1sGlPFouF2267jezsbM4++2zuuecehgwZwqeffhro0EQrkj8P0W20dOZ2Y0eTmgY5ez0E9ynBZPNiMGkYbV6q8kKpqjARdfIGggYUYIyowpRQSOSktRTnmcjPimz06LuhmGN7KIKT9pLzZ3St65sylJ2TqxEc6yAnR6O82IQp2o7TZubfx13MpMtf4MfeoxiYs5Ee/Z2E2kwNbvf6TQdiy8+KwuHzENSrjOKv0nDujsJjN+EuCWbb4hRSeh3+UXd3a2DTnhISEli0aBFff/01QUFBnHnmmZx++uls2bIl0KGJViB/IqLbaOnM7caOJt98z0VQj0rcxcH7H+Pzgn1THKHDdumT2bwGMGgoo76WPjgth9z06EaPvhuKOTwConq7KN0e0eyh7MQERf4OG2V2L+YIB+6SYP1QXWnsjIhn+qSHuGHcbPJ32LgwJZOv1PWM3hN80Hbn7j4QW256FGHDcuhx0iYih++lKrs3hcuHom1NJDGtHIvNJwm5E5g4cSJr1qzhscceY9WqVQwZMoR58+ZRWVkZ6NDEYZA/PdFtHM7Mbf+jyVXLrFx+oYXXF7k4YbKTr7/1EpVUTMX6RDSv/hwej4bXbsEUpbek9VaZ9dsUKIOGIdyOo9TS6NF3QzErINwUxJjh5mYPZU+/0ELuj/EYLB7Ck/Owr0vE51b4fPqsemOQm1K3kW2repOQt4Fev37Cs18M5/tJT7DoJW3/UbR/bI4yM5boSpSC0CMKiJuUTf+zMhl10VYSjiwgZ7csf+sszGYzs2bNIjs7m/PPP5/777+ftLQ0Fi9eTFcssNYdSKIX3UbNuXavR1FaClu3+cja6GPLZo09q/Vz7Y2pb0KfFlZBmacSU5CbvM+HUbEtGmeJngCdOdGgNJRBw10SpCd8n8KRH4anzNbg0XfN6oA9uYrML+PZslmjtFSf2Ab6EH1ZegKzZ1maNJTtv9rggUedOPJDyF86BM3gw2DzkP/pKCoz4/FVmnHlh1G0Ygg9+lfykmUqq57PgMmT4c47Yfhwvb4vtecu2MLduIr0EY2aZXgx0XogHXn5W0tWYXQXvXv35q233uKbb74hLCyMc845h6lTp7Jp06ZAhyaaSRK96DZqlqr9/koqm34LxW5XOAqCyF0+mIp8C8tXNl69rb4JfQOPy8O1PY7gEduJH1GEKzuRohVD0DwG7OsTMQW7MEdWYQpx4a2w4ioMofKPAdx6TWi9R9/+OxPOlCwiejnIXT6YTb+FsjXDQn4zZ5vX3TkJOmEtQb3LMYZXUrkhEU9xCMptoio7nvLVSdjX9CPYZiDtjJ1Ejszlha/j8X3wEb/e9wV79nh546rlXDjdhc+nv5/bPkolNNZJeXof3HZTrWV4HXn5m9TPb5oJEybwxx9/8MQTT/Djjz8ydOhQ5s6di91uD3Rooomk1r3oVpYsgevuKMcbWk5FXhAelwGjUSO0VyUmexgvPBLG1KkNP75ubXdgf6nYglwLUWl5WCKrKC81Ura+N1qlFWOYg5BhOZij7Ljywin/dQBTjork/XfqH2KvW9ddrzcfSc6f0ZRuj2DMcDOzZx1oi9uY+urE52VEsenHKCKO2YRCYY6s0l/Lq8j7fBiDxxcRl1ZCVZGVqlXDGTfayNKfy4gduo3Q6EqKSyMZ+k02Z0dmYrz1dl7/QPHdDxpOcwXxx+ymRz8HlW3Uxa61SP385tu7dy+33347b775Jn369OGJJ57g3HPPRamOOWLT3UibWiHQE/X2sGzysyMozjcROjQHS3QlrqJgSv/oS7w5mg1/WhpMSsdNcmI7fi1B0bU7gWk+yP21B7nf9cPl1giKLyVoQAG+HgW48sKxb4nFU2FFGX3YymLYu9PSYF+Z+nYmajSrkc0hns9/58Q2MI+ghFJ8duv+nvWp/6fX1S/YGIElM4V8Vzn9z8qkcHPk/gY3DxbexTV7X8IeP4iQV57Cd+ppLFsGCxe52JWr0SdB70t/qB2SQLaebe33uTv5/vvvueGGG1i7di2nnHIKTz/9NMnJyYEOq9trKNE33MJKiC4oJ1fD0cu6v4Z7TXlXc4QDW3wJez46kmXLYho8kktMUOwosB2U6JUBbFEuTj7RgAbsCM8nJqmUslIThbYKQnpXYDGDsSSKNE/MoZrH6TPtBx5idUBmwzvn9SXO9es1ep5Z+/mUAVJP30nurz3Y/nUS9t+8RPQvZfD4Inqk6HX1a4bd42wa4cNzyf6yz/6do8joSh4s+htfrprI4/vmMWDqVAxnncWUJ59kysL+DW9cnVhr9b0f6GBHgY1bHk5g+cq2HwU4nPe5uzvuuOP4/fffef7557n77rsZNmwYs2bN4q677iI0NDTQ4Yk6OthgmhBtKzFBkZteu4Z7DU1TRDZSPrYppVhr7qN5FBERMHCAgZQkA/37GPFsTuCvFx/6KLHuTHsN9k8ezFxjJSdHq3fCWEPnnHPy3GzPtFI3bdXsnJw6ycBVl1mJsNgwmDQcJbWX6rm9+nVFeSaCk/dQltGLvUtTKcvoxS/jkhiX+A3ZVzysT9KrnqhXE8+hJrq1tIBRa5H6+YfHZDIxY8YMsrOzueSSS5g/fz6pqam89957Mju/g5FEL7qV6RdaqMoPxhxVe11wzUzxuP7OQxawaUop1sMt1+q/M+Hf+tWJi8rNPQhK2lPvhLGGEufg03aQ91s8JYV64qrZcdiyWSPzy3j27FZMOtHEo7PrrxPQJ1GRsyYKr0+jdENPbMm7iTp5Pbbk3ZRm9qTSY2PyDzM5a/R6LvruMr74Arxvv8Or539yyIlugW49K/XzW0fPnj157bXX+OGHH4iNjWXatGmccsopZGZmBjo0UU3O0YtuxeeDtNFOSvtnEjo4H4PJh89jwFNpRuXFUp7VE0N5KBMnGBs8V+zz0ei56Kbc51Ax1gxpmwblUuKtQPMasfudP9d8ByaMTZ6sJ/nrbnZQ7K4irGcVCSOK6ZFSjDLo5+P/eHMQrgozg07ZTZmniuI9Fio39iIy1kvv4UWUrW140twXX8A5Fzsw9S4k9vT0AyMhGriKgyhaNozg3uWMOrUQe4GN0jXxfJB5JqmFP/LzkGN5+bx/sC82Xt82v4luDzxa/3wHgKoiK47vhvP9CmtLPuYmOejUQaxDj78DTyDs6LxeLy+++CJz586loqKCmTNnMm/ePMLCwgIdWrcgk/GEqLZkCdxwTxHBx2zA7dMwm6Ds9/7YS03YBuTRZ5AbozOw/+HX7ChcO9M/eR84fw76hLF+pcn07mlg6c9llMbkYO1djKcs6KBJdZUFVvZ+MoIePeC3tW4i+peSOKr2+fiGZpr7fBAV78B6zHpCBueB0kBTeB0mfE4T7uIQXJmJHHeV3v3M51H88lgqd/Z+gOvWvoDR5+X9SZfwwaRLcFms+ye66XMZAjsZ7nB2yETD8vPzufPOO3n11VeJj4/nscceY9q0aTI7v401lOjlqyy6ndNOg3NODIc/hxBLFJb8XpQXWIg8ZhM9k8uJ69f254obO39dU4kvMVEx9vLNjLpoK3FpB5I86BPG1q1V+4frIweUYAxxETKgiLip6/bX0weoLLIxfDj06g3DLtjK6EtqP9+hhstrquBZQtwoTYHXoP90mzAGuzFHVoLrQEI2mDRcVsULI6Zx7V1v89OIE7j4y9fos2E9W7f52FNeydffekk7wkLJmsAOnUv9/LbRo0cPXnnlFVavXk3v3r256KKLOPnkk9mwYUOgQ+uW5Ossup26tet3f9eXqLQ8+iQY97dhhbY7V9ycQi2NTRizO7z7z3PHRFeX2tVAGTVCh+r19P0T56Hq/QdHO1ibrurd+Rg2RGF1h0BlECZMmI0GfB4DoOErDcYS5t5faXDrNh/mUCf2wiCKInuwYPo/Oe+K1/kkeAQuo5Nzsj6nn2Ut76woItgTytYPpfVsV3XUUUfx888/88ILL7BmzRpGjhzJLbfcQllZWaBD61Yk0Ytuyf9ILmmwYtAw5/42rP4a6y7XEs2Zbd7YhLHQULU/cYdHQHiIEVeJDY/DiCm8ivJ9QbUSZ307DpoP9m2I4qcXU9hWUsZqexaukWvZXr3zcf6FHnbnKgp/T8DoM6IcNnwVQZiUAYPPRMX6PqheBbiMzv0ten3Bdsqqyw2XlcKfwf2wRDoI91Vw929P8f2W47nbNgvNkMclp0rr2a7MaDRyzTXXsHHjRq644gqeeOIJkpOTefvtt2V2fjuRPyXR7bX3MqvmzDZvbAb/0LQDsSv0of7EXiYsXivOPVFEmYNqJc66Ow41hXMyl/ZCRdjpff7vmAbsY19FJfs8xZQP3sCXvxaz05BDeC8Hed8MpnxXGGaPjXB3FPmfjkRZXUQM332gRa/Zh2YPQlUGkfHfVHauCcfnNlK5PZptXx3F1GOX8f2oiVy0fCGL/zyK9Iff4afVXiafYOXNV5s2dC416juf2NhYXnrpJX7++Wf69OnDpZdeyoknnsi6desCHVqXJ4ledHvtvcyqOe1yG2uRO/2i2rErICIC+vcxElGYyAtP2molzro7Djm/xlGQa4FgBxGjdmAO8uFxGPEpLx6DG83sIWzcVgr3WIgav5XkCQUY9sax86MhRO9KJkqLQKu0UbUjGnepDfu2aPI+H0Z0Lw+p522hf0QYlb8kUfx1GuVrE7D1LaR0dBVXjpnLuaf/mwqbjf9WXkbPwctZ8EYBRx3vwuM59PsnNeo7t7Fjx7J69WpefvllNmzYwKhRo5g5cyalpQdPyhStQ2bdi26vvZdZtWbp1ZbE7j/T/KtvfASP3Ujp+t5ET96AsrhxVJgwhjrwVFgxBrnRnCaKVwwlbnImib1MREQciHNnjkZl7+3kbw3DUWbGFu7evzrAUaIvkSsooNZyRkepBY8HzFGVuLdHMPTPfeycFoLPozjuP9tIuuYybrsnpMHSuEuXSo36rqKoqIi5c+fy4osvEhcXxyOPPMJll10ms/NbSGbdC9GAxo6aW/tccWuOILQk9vrmJ4RE621mHaVmlNUNBh9oCoxeXEUhGIKdGILcFBbph8shsQ525miYlIGc9Gi/JF+8f8mevcCGyaCo9LhwbovDaPZhMGl43AaMwS40r6JsQ38yxvQDIKl4O6/mXcelD6fwxtnvcstDhfUesS9cFNhCO6L1REdH8/zzz/Prr7/Sv39/pk+fzvHHH096enqgQ+tS5IheiHbWkQq11Iwu+DwGsr6NIXjcRiw9KlBGDXdRMJpPUbxiCBg0wkfuIrinnSFpBgqyIyj5LhmHpQJnwk6C+5TgLg7ev34/+dRdbP84lR6WMJwpWbWaCDnd+k6EPSMBU5iDXidvpuYAbtj6Tdz96csM867jz6QxvHTBTHJ66jsCNUfshsoQep0RuEI7om34fD5ef/117rjjDoqKirj++uu5//77iYyMDHRonYYc0QvRQbT3CMKh1IwuxAwqwVcRRMm3qVRti8WxOxzn7khKViVjiqkgbOxWKrJ7Uri6Lzu2w+5v+uOwVJB2cSY9k8vRNLD2LiV28noKciysf204U44Ox6P5CO3hIPX0nQweX4RvayJFy4ZT/kc/QtJ2E3nsJnw+cDo1HA6Nbw3jOSb8Bx47fjaDd2Xx0FP/wOTWj9BrjtgrKjSpUd8FGQwGrrzySjZu3Mh1113Hc889R1JSEq+99ho+mXhxWCTRCxEANcPnb79mYe4tesOZBx51cvEV7Tt7vGZy3vaPU9EMPszRFRR/nUrh5yNw7IomOHkvYWO2YYsvIfrkDXgrrWxeNAycFnodnYvRpNWa6a9V2YhKy2NgvHV/nXx7gQ1lgLi0EkZdtJWBx+SDz4itTyEALreGpjQ0Dcr+6IfLY+bVIedw7dy3WTD9n3jMFgw+L0du+ImQmCpCbEapUd+FRUVF8cwzz/D7778zePBgrrzySo477jj++OOPQIfWaUmiFyJAOsLscYMBFjxsIjkuAneZFUvPUgxWDxHjtxB9UhbByXswmL14yoPw2oMITdmL1ebD4fYRWr1yoGamf02XvkHDnHh8Wr3L+QAGTdqFRZnI+2AMlVt74CmzUbmlB3kfjsFqNBGTWkTxHgs7tWjWJY0G4Jg133DPi7fzr1dnMKVvxmE1DRKdw8iRI/nuu+94/fXX2bJlC2PHjuWGG26guLg40KF1OpLohQiQQLdprbF8OWTtK6XfUflU/DEAn8uMMbwKr92CtywIvEYMBo3gKCdh/UoxmKvPsTdh+Ly+OgBFWyPo1Vsj1BFJ+Q/J5H8wlorVSfRJtXPsDRvoM7qYyo29KMg/MH/ox5En8ux5tzB470YWfD6Gx7U7+fdMc8BPfYi2ZTAYmD59OtnZ2dx444288MILJCUl8eqrr8pwfjPIZDwhAqQ1l9kdjmmXu1i1oYiKIjNegxd3aRCmSDvBSXux9ilCaQqzVcMW6aJyWzRV6QNI6xlJvqu8SUvcGmocc/8CJ0EnHDypTvPBuvcHULrXRuqU3bUmK5433Ml9jnmoV1+BE0+ElSvb/P0RHUd6ejo33ngj33//PePGjePZZ59lzJiD5p51Ww1NxjMFIhghRHXhnIGHKJyT2T474evSFSX7gjDFlhM+LAdDkAtXfhhVW3vg2htJ2Kgd2CKrwKuoWJdIqGbjjllmlq8MZ+lHqfWuHPAfPq+ZjzBlSu2dltcXKXYU2A5K9MoAvUcUMcCaQu+yMHZlavRPUEyfo3eVU4aX4eqrwO3WH2C3w/btMGRIG79TItBGjBjBqlWrePvtt7ntttsYN24cV199NQ8++CAxMTGBDq/DkkEuIQKkvUvvNqSwUMMQUUnM1LUE9S/EGldOUN9CIo7ZhNdupXJzHPbNMexZPAJDaTjnnRbElCmHv3LgUPUEytYmMPtWc8Nd5caNg2OP1S8vWAAjRsCsWdDK1dWk1G7Ho5Ti0ksvJTs7m5kzZ/LKK6+QlJTESy+9hNfrDXR4HZIM3QsRIF980TEqvEX1dmA5di3Bg/IPdPXRwOc0Yd8UR+m3KURFK9IGG7l9lrnV2ri2Wj2BwkKYOxdeegni4uDRR+GSS+Awq6t1pHoHomHr16/nxhtv5Ntvv2XMmDE8++yzjBs3LtBhBYSsoxeig2msYU17zR43WzXMEQ40rwF8CjRAUyiTD1vPcqJjIG+HjW9WmJk6tfV6tbdaPYGYGHjhBfjlF+jXDy67DG699bDj6yiTJcWhDR06lJUrV/L222+Tm5vL0UcfzVVXXUVBQUGgQ+sw5IheiABqaKLa5Mmtl1Abc+JkF9nBGYSm7sXr1dezKwVGo6Iisxc9ctJIG8JBNec75NGszwevvQZHH62fs8/PB7MZWlBdraNMlhRNV1ZWxn333ce///1vwsLCePDBB7n66qsxGo2BDq1dyBG9EB2Qf935es9FtzGfDyYea6FibR8q84PwuYwYDQYMmglPSRD2dX0odjjbbZ3/YZ8TNxjgb387MDHvH/+A5GRYuLDZJ9ab02VQdAzh4eE8+uijpKenM3LkSK6//nrGjRvH6tWrAx1aQEmiF6KbqjkH/c6KIkKj3ZR/n4J9Sw/Kd0RQkd0Tx/fDMHutDLtibbsMXbdJAaFbb4UBA+Cvf4Xjj4c1a5r80I4yWVI0X1paGl999RXvvPMO+/btY/z48Vx55ZXk5eUFOrSAkEQvRDdVcw564LmZHHnZZlIn5mMt7Il33SAcfw4k1hTO4NO3YbS0T5e4NjknfuSR8OOP8J//wMaN+u///W+THtqaXQZF+1NKMW3aNLKysrj99tt58803SU5O5plnnsHj8QQ6vHYliV6IbmrhOwfavfrXoh9/bRapZ29jX5GH0B7tN3TtH4+/w96xMBjgiiv0RD9zJkyapF+fn3/I4fyOMllSHJ7Q0FDmz5/PunXrGDNmDDNmzGDMmDH88MMPgQ6t3UiiF6KbauwctFIt6xLX0vPsbX5OPCoKHntMX4Ln88EZZ8Axx8Dvv9d7947UZVAcvpSUFJYtW8b//vc/CgsLOe6445g+fTr79u0LdGhtTr6qQnRTjZ2DTk1qfpe4wznP3q7nxJWC66+Hbdtg7Fi47jooKjroboGeLClal1KK888/n6ysLGbPns2iRYtISkriqaee6tLD+fJ1FaKbauwc9O0zLc0euj6c8+ztek5cKbj8csjO1mfmv/wyJCWBtELtFkJCQnj44YdZt24dRx99NDfddBOjR49m1apVgQ6tTUiiF6KbauwcdEvK3B7OefaAnBOPjIQnn9QT/JQpkJamX2+3t8GLiY4mOTmZL7/8kg8//JDS0lImTJjApZdeyp49ewIdWquSgjlCdGOtXbDnuElObMcf3JEOoKrIiuO74Xy/wtpu8bRIZSUMHQqnnAIPPaRX3hNdXmVlJQ899BALFizAarVy7733cuONN2I2mwMdWpM1VDAnYIleKRUNvAv0B7YDf9E0rbie+3mBddW/7tQ07czGnlsSvehufD592HzhO66AVrDrEtXkKirgn/+Ef/8bIiL0ZP/3v0M3qa7W3W3atImbbrqJL774giFDhvDss88yYcKEQIfVJB2xMt5s4CtN0wYDX1X/Xp8qTdNGVv9rNMkL0d3UNwFue3g2180rIm2Ui2NPbr+ua11i7XloqD47Pz0dhg+Ha6+Fo47Sl+OJLm/w4MEsWbKExYsXY7fbOfHEE7n44ovZvXt3oENrsUAe0WcDJ2qatkcp1Rv4RtO05HruV6FpWmhznluO6EV3UrcLngbk5GiUlvko+jaZgaNLsUW5anVdg7YZAWjLjm91Ry0S4hVDBlnI2OwiZ3cbjWJoGrz7LixeDIsW6ZP4PB4wmVrpBURHVlVVxb/+9S/mz5+P2Wzmn//8JzfddFOHHc7viEP3JZqmRVZfVkBxze917ucB1gAe4F+api1u4PmuBq4G6Nu375E7duxok7iF6GjqDpeXlkLOXg+WSAeV26PxbU1k1EVb97e/fXR2NMtXtl371bY4z153ByI42kHmkj6Ul5iIG7Ob/qlOKtujheyePTB+PNx+O1xzjQzndxNbtmxh5syZfPbZZ6SmpvLMM89w0kknBTqsgwRk6F4ptUIptb6ef2f530/T9zYa2uPoVx34xcCTSqkj6ruTpmkvaZo2RtO0MT169GjdDRGiA6tbaKawyIcxyI1SYImuxFGmH33UzHyf/7i7TduvtsXa87rL9irygnF4fMRf8DtabBFuYzu1kHU44Igj4IYb9PX3P/3URi8kOpIjjjiCTz/9lE8//RSn08nJJ5/MtGnTyMnJCXRoTdKmiV7TtEmapg2t59/HwL7qIXuqf9bbbUDTtNzqn1uBb4BRbRmzEJ1N3UIzLjcYTPrJeFdRMLZw9/7bQmIdZG7yHrQETgPK7RqVcTlcfo2jTc/pt6RyXt1le7npUYQOzcFg0jAGuSks0h/cVnX49xswAFasgHfegbw8vbLelVeC19s2ryc6lNNPP50NGzZw77338sknn5CSksL8+fNxudro+9ZKAjkZ7xNgevXl6cDHde+glIpSSlmrL8cCxwIZ7RahEJ1A3QlwFjP4PAY0r6JifSIJIw5UfLMX2FCq9ghAzTn9nL0eiCnFY7O3WTvallbOqztq4SgzY4muBPSdGteBfZm2byGrFEybBllZ+hC+wXBgCL8LLlcWtdlsNubNm0dGRgaTJk1i9uzZDB8+nOXLlwc6tAYFMtH/CzhFKbUJmFT9O0qpMUqpV6rvkwr8ppRKB1ain6OXRC+En7qFZkIMQVRs6kHekmFExXnokVICHJj5nppkrDUCUFYKZXYvlkgHPruV4Ji2GwZvaeW8uqMWtnA3rqLg6u0yYPGbG9VuLWRDQ2H+fL2qHugtcMeMge+/b/vXFgE3YMAAFi9ezJIlS/B4PEyePJnzzz+fnTt3Bjq0gwQs0WuaVqhp2smapg2uHuIvqr7+N03T/l59+UdN04Zpmjai+uergYpXiI6qbvMVy5rhRGxPJdQbRo+kUhwltSvM3XZT7RGAmnP6+GqPALTFMHhLK+fVHbVIGFFMxfpEfB6Ft8pMTLT+X1lAlvGp6p2K4mJ9Cd7xx+vldffubb8YRMBMnTqV9evX88ADD/D555+TmprKQw89hNN5cNGoQJESuEJ0AXUnwGX8YeWlR8MYUH5w6drTTqs9AmAvsuLIiSTv89ojAND6w+At7VBXd9QiNK4Sm8nA7v8diSqIxuztAC1kJ06EzEyYM0dfkpecDM8/H4BARHuz2WzMnTuXzMxMpkyZwty5cxk2bBhffvlloEMDpASuEN2S/xK4r7/14gurYOBx++iRUoLy2/1v7Wp2dZcCaj7Iz4oiNz2K8n1BRJmDeP4JW71r4esu20uMVwxNsrB+o76OPiDlchuycaPeLOeoo+DeewMcjGhvS5cuZcaMGWzatImzzz6bJ554gv79+7f563a4dfRtSRK9EE1Xt+BOjZp194/PiWbKlNZ/LWXQyPysL8X5JkKG5qCMXiKNoXg2t/Fa+PaiafreidEIn32mF9xZsADi4wMdmWgHTqeTxx9/nAceeACfz8ecOXO47bbbsNnqb8XcGjpiCVwhRAfQGl3jGlsyV3P764tclOaGsPrFFDYsSaBor5nokzIwR1YS3ctD31HtsBa+vSh1YDb+9u3wwQf6cP5jj4HbfciHis7ParVy5513kpmZyemnn868efMYOnQoS5YsafdY5IheCFHvsPiQwRY2bGq8vGxjZW8fecjEbXfWrmq3+89Ytn7fk8hjNhObVEJMtIHwCKiZK99pGuA0x+bNMHMmLFmit8N9/nk44YRARyXayfLly5kxYwbZ2dmceeaZPPnkkwwYMKBVX0OO6IUQDfKfzLdqmZXePQ0sWl7EjojG17o3tmTu4Ydr3x4c62TQKbmE9a7EGmMnJtpAhF+Sh3ZYCx8IgwbpQ/iffAJVVbB1a6AjEu3olFNOYe3atcyfP5+vvvqKtLQ0vv3223Z5bUn0QohamrvWvbElc6++7aj3dluEC6/DvL+qnb92WwsfCGecARs26EvwQF+H/8gj0MGrq4nDZ7FYuP3228nKyuKqq67iqKOOapfXlUQvhKiluWvdG1syV1JW/+0JI4qpzEjA6ejELW1bKijowDmQVavgjjtgxAj46qvAxiXaRWJiIk899VSbTszzJ4leCFFLc9e6161a589eYCMyvP7be6QUE2RVlHyd1uJJgF3Cm2/qQ/ouF0yaBH/5C+zaFeioRBciiV4IUUtjibvukHrdqnU1ao7M/3aJrd7bNZ8iIsjCzEtj6F92cGGf1lpa15ImOu3u//5PH86/91496cv5e9GKTIEOQAjRsUy/0MItDycQPbDsoHX1pekJTJ9Te0j91FNh2dfhLP0otd5Z93feCUVl9d9+2vhw5swBg+HgYXqfT58vsPAdFzm5h57535CDVgQMdLCjwMYtDyewfKW+Vh8O/3Vahc0G8+bB9ddDbKx+3WOPwbBhdJ/hDdEWZHmdEKKWxpbL1Xe0XXd5Xt0qdY3d3hox1KexYkCPzo5m+crDf5024XTCqFF6Wd1zz4UnnoC+fQMUjOgMpDKeEKLJmpuYW1trVeurW3LXX8HGCCyZKeS7ytulKmCLOJ3w6KPw4IP673Pnwq23gtUawKBERyWJXgjRKlpjSL0xjSXophbTOW6SE9vxawmKPriTWFWRlbX/GcYRZ2467Ndpczt2wC23wKefwvr1MHhwoCMSHZAUzBFCHLaaIfVbHi5iR3jjxXRaqqVd7upqbGKhUq3zOm2uXz94/319GL8myT/yiF5aV4hGSKIXQjRZc4vptFRzZ/43pLEVAalJxlZ5nXYzcKD+c8cOuO8+SE2F++8HR/07K0KAJHohRDM0t5hOSzWWoJtaTKexhj233dQ6r9Pu+vWDrCw480x9pv7QoXoNfSHqIcvrhBBNlpOrETLwEEPdma0z1N3Ykr2mrjYzGOCx+SZOXRbNwkWh7MrU6J+gmD7Hsv85Vnxz+K8TEImJ8O67cPXVMGMGTJ8O27ZBWFigIxMdjEzGE0I0WWtNkmuK9pr5H+gVBq3C5dKP8IcPB68XXngBrrxSL7Urug2ZdS+EOGyttexNtKGlS/VWhAMGwJNP6k10VAebayDahMy6F0IctsbOeXfooe7u4tRT4euv9aP5s87Sy+tu3hzoqEQAyRG9EKJZusRQd3fgdsNTT8E998CgQfDHH3Jk38XJ0L0QQnRHu3dDXh6MHAnl5frR/plnStLvgmToXgghOoFW77YXH68nedAn6Z19tn4Of+PGVopYdHSS6IUQooNo88qDN9+sT9BbvVpfez9nDtjtrRG66MAk0QshRAfR5pUHTSa46SbIzoaLLoKHH4Zrr22V2EXHJYleCNGltfpQeBtqr8qD9OoFCxfCd9/B3Xfr1+Xk6GvxRZcjiV4I0WW1VxOe1tJazXya7LjjIClJvzx3rl5wZ/ZsqKho3dcRASWJXgjRZbVXE57W0lrNfFpkwQK49FKYP19vlvPee9AFV2V1R5LohRBdVrsNhbeS1mrm0yJxcfCf/8CPP0KPHjBtGjzxRNu9nmg3kuiFEF1Wuw+FH6YOUXlw/Hj49Vd9Kd7ll+vXbd2qr8EXnZIkeiFElxXQofAWqOm29/icaPqXJeP4bjj9y5J5fE40j/7L1H6VB41GuOYaiI3Vh+8vugiSk2HRIhnO74Qk0QshuqyADoW3kMGg17NZtNDC9yusLFpoYcqUAJYXVgr+/W/o3RsuvhgmToT16wMUjGgJSfRCiC6rQwyFdwVHHw2//KIP569dq1faW7Ei0FGJJpJa90KILk2a8LSyggJ9kt68eWC1ws6d0KeP1M7vAKSpjRBCiNZlt0NKCgwYAM88o6/DFwEjTW2EEEK0rqAg+Oc/ISMDRo/Wy+uWlAQ6KlGHJHohhBAtYzDA3/+ud8K7+mp4+ml9dv6OHYGOTPiRRC+EEOLwREfDc8/Bb7/pM/P79tWvLy4ObFwCkEQvhBCitYwerU/UU0pvktO/P8yYIcP5ASaJXgghROsLDdUr6z33nN4457XXOmbLwG5AEr0QQojWFxmpn7P//Xc90V95pd4tz+kMdGTdjinQAQghhOjCRo7U+96/+aZeUc9q1a93OMBWf3li0brkiF4IIUTbUkofxn/kEf3333+Hfv3g5ZdlOL8dSKIXQgjRvoKD9WV4V1+tl9f99ddAR9SlSaIXQgjRvlJT4dtv4a23YNcuOOoomDkz0FF1WZLohRBCtD+l4JJLIDtbT/I9e+rXa5oM57cySfRCCCECJzwcHn8c7rxT/33xYhg3Dn7+OaBhdSWS6IUQQnQcJhPs3q2fu//73yE/P9ARdXqS6IUQQnQcZ5yhD+ffeissXKivwX/zzUBH1alJohdCCNGxhIXBggWQng6jRkmv+8MkBXOEEEJ0TGlp8NVXB35/8kk9+c+fD3FxAQurs5EjeiGEEB2XUgeO6Csq4O239eH8p58GjyewsXUSkuiFEEJ0DnfdBevW6bPy//EPGDNGiu00gSR6IYQQnUdyMixdCu+/r/e7lyY5jZJEL4QQonNRCs47DzZt0jviAcydq5/Dl+H8g0iiF0II0TlZLPpPr1efpHfzzTB6NKxaFdi4OhhJ9EIIITo3oxE+/RQ++gjKymDCBLj0Uti7N9CRdQiS6IUQQnR+SsHZZ0NGBtx9N3z2GVRWBjqqDkESvRBCiK4jOBjuu0/vijdwoH7dzTfDypWBjSuAJNELIYToesLC9J/5+XqjnJNOgosugtzcgIYVCJLohRBCdF09eujD+f/8p34OPyVFL6/rcgU6snYjiV4IIUTXFhQE99yjJ/yJE/VE343O30uiF0II0T0MHAiffKIvxYuM1Nfc33abfj6/C5NEL4QQonvp3Vv/+ccf8Mwz+nD+v/7VZYfzJdELIYTonsaNg8xMmDwZ7rwThg2DZcsCHVWrk0QvhBCi++rfX5+k98UX4PPBrFl6pb0uRBK9EEIIMWUKrF+vn8M3GqG0FB57rEs0zZFEL4QQQgBYrQeK7Hz4Idx6qz6c/+WXgY3rMEmiF0IIIeq64gq9Ha7BAKedppfX3b490FG1iCR6IYQQoj6TJ8PatfqM/BUrYObMQEfUIqZAByCEEEJ0WBYL3HEHXHLJgUl627fr5/NPPz2goTWVHNELIYQQjUlMhH799MuPPQZnnKH/27o1sHE1gSR6IYQQojkeewweeUTviJeWppfXraoKdFQNkkQvhBBCNIfFopfOzc6Gc86Be++FBx4IdFQNknP0QgghREskJMCiRXD11TBihH7d2rUQHAyDBgU2Nj9yRC+EEEIcjokTITpav/yPf8CQIXD33R2mQ54keiGEEKK1LFoEF1ygD+WnpenldTUtoCFJohdCiADw+fTy6hdOd3HcJCcXTnftL7cuOrHeveGtt+DbbyE8HM49F957L6AhSaIXQoh25vPBLXd4uOXhInaEZ2M7fi07wrO55eEibp3tkWTfFZxwgt4G95VX9Al7AGvWgN3e7qFIohdCiHa2dCks/bmMAedkEptUSlC0k9ikUgack8mXq8u6YqfU7slkgr/9TZ+l73TqBXZSU+GDD9p1OF8SvRBCtLOF77iIGJGLwVT7P3uDSSNiRC4LF7kCFJloM1YrvPuuPmnv/PP1SXvtRJbXCSFEO8vJ1QgZ6Kj3tpBYB7syAzt5S7SRY4+F336DF144sByvHUiiF0KIdpaYoNhRYCMo+uBe5/YCG/0TVACiEu3CZIIbb2zXl5SheyGEaGfTL7RQmp6Az1M7ofs8itL0BKZfZAlQZKIrkiN6IYRoZ6eeCsu+DmfpR6lEjMglJNaBvcBGaXoCU44OZ/LkQEcoupKAHdErpS5QSm1QSvmUUmMOcb8pSqlspdRmpdTs9oxRCCHagsEAj8038ficaPqXJeP4bjj9y5J5fE40j/7LhEHGWkUrCuQR/XrgXODFhu6glDICzwKnADnAr0qpTzRNy2ifEIUQom0YDDBlCkyZIsP0om0FLNFrmpYJoNQhJ52MAzZrmra1+r7vAGcBkuiFEEKIJujoA0QJwC6/33OqrxNCCCFEE7TpEb1SagXQq56b5mqa9nErv9bVwNUAffv2bc2nFkIIITqtNk30mqZNOsynyAX6+P2eWH1dfa/1EvASwJgxY6TahBBCCEHHH7r/FRislBqglLIAFwKfBDgmIYQQotMI5PK6c5RSOcB4YIlSamn19fFKqc8BNE3zADcCS4FM4D1N0zYEKmYhhBCiswnkrPuPgI/quX43MNXv98+Bz9sxNCGEEKLL6OhD90IIIYQ4DJLohRBCiC5MEr0QQgjRhUmiF0IIIbowSfRCCCFEFyaJXgghhOjCJNELIYQQXZjStK5XLVYplQ/saOWnjQUKWvk5A6GrbAfItnRUXWVbusp2gGxLR9QW29FP07Qeda/skom+LSilftM0bUyg4zhcXWU7QLalo+oq29JVtgNkWzqi9twOGboXQgghujBJ9EIIIUQXJom+6V4KdACtpKtsB8i2dFRdZVu6ynaAbEtH1G7bIefohRBCiC5MjuiFEEKILkwSvR+l1AVKqQ1KKZ9SqsHZkEqpKUqpbKXUZqXUbL/rByilfq6+/l2llKV9Ij8ovmil1HKl1Kbqn1H13GeiUmqN3z+HUurs6tteV0pt87ttZHtvg1+cjW5L9f28fvF+4nd9h/hMqmNpyucyUin1U/X3cK1SaprfbQH9XBr63vvdbq1+jzdXv+f9/W67s/r6bKXUqe0Zd32asC2zlFIZ1Z/BV0qpfn631ftdC5QmbMtflVL5fjH/3e+26dXfx01KqentG/lBcTa2HU/4bcNGpVSJ320d7TP5j1IqTym1voHblVLqqeptXauUGu13W+t/Jpqmyb/qf0AqkAx8A4xp4D5GYAswELAA6UBa9W3vARdWX34BuC5A2/EIMLv68mxgfiP3jwaKgODq318Hzg/059GcbQEqGri+Q3wmTd0WIAkYXH05HtgDRAb6cznU997vPtcDL1RfvhB4t/pyWvX9rcCA6ucxBvBzaMq2TPT7e7iuZlsO9V3rwNvyV+CZeh4bDWyt/hlVfTmqo25HnfvPAP7TET+T6nhOAEYD6xu4fSrwBaCAo4Gf2/IzkSN6P5qmZWqalt3I3cYBmzVN26ppmgt4BzhLKaWAk4D3q++3EDi7zYI9tLOqX7+pcZwPfKFpWmVbBtVCzd2W/TrYZwJN2BZN0zZqmrap+vJuIA84qABGANT7va9zH//tex84ufozOAt4R9M0p6Zp24DN1c8XKI1ui6ZpK/3+HlYDie0cY1M15XNpyKnAck3TijRNKwaWA1PaKM7GNHc7LgIWtUtkLaBp2ir0g6eGnAW8oelWA5FKqd600Wciib75EoBdfr/nVF8XA5Romuapc30g9NQ0bU/15b1Az0bufyEH/9E8WD2k9IRSytrqETZdU7fFppT6TSm1uuYUBB3rM4Fmfi5KqXHoRzdb/K4O1OfS0Pe+3vtUv+el6J9BUx7bnpobz9/Qj75q1PddC5Smbst51d+b95VSfZr52PbQ5FiqT6MMAL72u7ojfSZN0dD2tslnYjrcJ+hslFIrgF713DRX07SP2zueljrUdvj/ommappRqcGlF9V7kMGCp39V3oiciC/oSkDuA+w435kPE0Brb0k/TtFyl1EDga6XUOvRE065a+XN5E5iuaZqv+up2/VwEKKUuBcYAE/yuPui7pmnalvqfoUP4FFikaZpTKXUN+qjLSQGO6XBcCLyvaZrX77rO9pm0q26X6DVNm3SYT5EL9PH7PbH6ukL04RdT9dFMzfVt4lDboZTap5TqrWnanuqEkXeIp/oL8JGmaW6/56456nQqpV4Dbm2VoBvQGtuiaVpu9c+tSqlvgFHAB7TjZ1L9+oe9LUqpcGAJ+s7nar/nbtfPpY6Gvvf13SdHKWUCItD/Lpry2PbUpHiUUpPQd9AmaJrmrLm+ge9aoJJKo9uiaVqh36+voM8VqXnsiXUe+02rR9g0zfmOXAjc4H9FB/tMmqKh7W2Tz0SG7pvvV2Cw0mdzW9C/dJ9o+kyKlejnuwGmA4EaIfik+vWbEsdB57qqk1DNOe6zgXpnjraTRrdFKRVVM4ytlIoFjgUyOthnAk3bFgvwEfr5u/fr3BbIz6Xe732d+/hv3/nA19WfwSfAhUqflT8AGAz80k5x16fRbVFKjQJeBM7UNC3P7/p6v2vtFvnBmrItvf1+PRPIrL68FJhcvU1RwGRqj+y1p6Z8v1BKpaBPUvvJ77qO9pk0xSfA5dWz748GSqt35NvmM2mtWYZd4R9wDvo5ESewD1hafX088Lnf/aYCG9H3GOf6XT8Q/T+wzcD/AGuAtiMG+ArYBKwAoquvHwO84ne//uh7kIY6j/8aWIeeSN4CQgP4mTS6LcAx1fGmV//8W0f7TJqxLZcCbmCN37+RHeFzqe97j37q4Mzqy7bq93hz9Xs+0O+xc6sflw2cFqjPoBnbsqL6/4Caz+CTxr5rHXhbHgY2VMe8Ekjxe+yV1Z/XZuCKjrwd1b/fA/yrzuM64meyCH3FjBs9p/wNuBa4tvp2BTxbva3r8Fvl1RafiVTGE0IIIbowGboXQgghujBJ9EIIIUQXJoleCCGE6MIk0QshhBBdmCR6IYQQoguTRC+EEEJ0YZLohehmVO2WnmuUXzvZZjzH2UqptDYIz/81YpRSK5VSFUqpZ9rytYToyrpdCVwhBFWapo08zOc4G/iMZlQg8ytF3FQO4G5gaPU/IUQLyBG9EAKl1JFKqW+VUr8rpZb6ldu9Sin1q1IqXSn1gVIqWCl1DHop1QXVIwJHKKW+UUqNqX5MrFJqe/XlvyqlPlFKfQ18pZQKUUr9Ryn1i1LqT6VUg61INU2za5r2PXrCF0K0kCR6IbqfIL9h+4+UUmbgaeB8TdOOBP4DPFh93w81TRuradoI9Brpf9M07Uf0Wt23aZo2Umu8S9jo6ueegF4K92tN08YBE9F3FkLaYBuFENVk6F6I7qfW0L1SqmZofLneLwcjep1ugKFKqQeASCCUljXYWK5pWlH15cnAmUqpms57NqAvBxqtCCFamSR6IYQCNmiaNr6e214HztY0LV0p9Vdqt9D05+HACKGtzm32Oq91nqZp2S2OVgjRLDJ0L4TIBnoopcYDKKXMSqkh1beFAXuqh/cv8XtMefVtNbYDR1ZfPp+GLQVmVLfarWkHK4RoQ5LohejmNE1zoSfn+UqpdPS2rMdU33w38DPwA5Dl97B3gNuqJ9QdATwKXKeU+hOIPcTL3Q+YgbVKqQ3VvzeoelLf48BflVI5bb2kT4iuSNrUCiGEEF2YHNELIYQQXZhMxhNCBJRS6lRgfp2rt2madk4g4hGiq5GheyGEEKILk6F7IYQQoguTRC+EEEJ0YZLohRBCiC5MEr0QQgjRhUmiF0IIIbqw/wdB0nu+kvVtZwAAAABJRU5ErkJggg==",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## For Contributing, refer to expectedoutput4.html in the expected outputs folder.\n",
+ "\n",
+ "plt.figure(figsize=(8,8))\n",
+ "plt.xlabel(\"Feature_1\")\n",
+ "plt.ylabel(\"Feature_2\")\n",
+ "plt.scatter(df_train[\"Feature_1\"][:200],df_train[\"Feature_2\"][:200], label=\"Class A\", edgecolor = \"b\", s = 60, alpha = 0.8)\n",
+ "plt.scatter(df_train[\"Feature_1\"][200:],df_train[\"Feature_2\"][200:], label=\"Class B\", marker=\"^\", edgecolor = \"r\", s =60, alpha = 0.8)\n",
+ "xt=np.linspace(-1,1,10)\n",
+ "y= -1 * (b+W[0]*xt)/W[1]\n",
+ "y1= (1-b-W[0]*xt)/W[1]\n",
+ "y2= (-1-b-W[0]*xt)/W[1]\n",
+ "plt.plot(xt,y, c = 'black', label=\"Separating Hyperplane\")\n",
+ "plt.plot(xt,y2,c='r',linestyle=\"--\",label=\"Negative Hyperplane\")\n",
+ "plt.plot(xt,y1,c='g',linestyle=\"--\",label=\"Positive Hyperplane\")\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Mid penelty SVM"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Training the model"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "400\n"
+ ]
+ }
+ ],
+ "source": [
+ "sv=SVM(10)\n",
+ "W,b,theta_list,loss_listt=sv.fit(X, Y)\n",
+ "W=W.reshape((-1,))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Visualising the error "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## For Contributing, refer to expectedoutput5.html in the expected outputs folder.\n",
+ "\n",
+ "plt.figure(figsize=(8,8))\n",
+ "plt.xlabel(\"Iteration\")\n",
+ "plt.ylabel(\"Loss\")\n",
+ "plt.plot(loss_list,label=\"Mid Penalty\",c='y')\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualising the decision boundry over iterations"
]
},
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "## For Contributing, refer to expectedoutput6.html in the expected outputs folder.\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Plotting the decision boundry"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## For Contributing, refer to expectedoutput7.html in the expected outputs folder.\n",
+ "\n",
+ "plt.figure(figsize=(8,8))\n",
+ "plt.xlabel(\"Feature_1\")\n",
+ "plt.ylabel(\"Feature_2\")\n",
+ "plt.scatter(df_train[\"Feature_1\"][:200],df_train[\"Feature_2\"][:200], label=\"Class A\", edgecolor = \"b\", s = 60, alpha = 0.8)\n",
+ "plt.scatter(df_train[\"Feature_1\"][200:],df_train[\"Feature_2\"][200:], label=\"Class B\", marker=\"^\", edgecolor = \"r\", s =60, alpha = 0.8)\n",
+ "xt=np.linspace(-1,1,10)\n",
+ "y= -1 * (b+W[0]*xt)/W[1]\n",
+ "y1= (1-b-W[0]*xt)/W[1]\n",
+ "y2= (-1-b-W[0]*xt)/W[1]\n",
+ "plt.plot(xt,y, c = 'black', label=\"Separating Hyperplane\")\n",
+ "plt.plot(xt,y2,c='r',linestyle=\"--\",label=\"Negative Hyperplane\")\n",
+ "plt.plot(xt,y1,c='g',linestyle=\"--\",label=\"Positive Hyperplane\")\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## High penelty SVM"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Training the model"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "400\n"
+ ]
+ }
+ ],
+ "source": [
+ "sv=SVM(1000)\n",
+ "W,b,theta_list,loss_listt=sv.fit(X, Y)\n",
+ "W=W.reshape((-1,))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Visualising the error "
+ ]
+ },
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "## For Contributing, refer to expectedoutput8.html in the expected outputs folder.\n",
+ "\n",
+ "plt.figure(figsize=(8,8))\n",
+ "plt.xlabel(\"Iteration\")\n",
+ "plt.ylabel(\"Loss\")\n",
+ "plt.plot(loss_list,label=\"High Penalty\",c='r')\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Visualising the decision boundry over iterations"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
"outputs": [],
"source": [
"## For Contributing, refer to expectedoutput9.html in the expected outputs folder.\n"
@@ -3833,12 +294612,12 @@
},
{
"cell_type": "code",
- "execution_count": 17,
+ "execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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Qn3Fn+D8lBZYvAr9McLeB+hnwn/dEcl1VxbJI2rQHAtvC6h/BzQX6N4cmgdCgoXhfQdsYdyMprKD8Aa8sWGDFFktBc2zjBLs3wVNelTtxLTISpn0ArZ3E7zLRrlIiDf3dpHFj+N//RLjVZIKJE8Ui4Ikn4LffNJXmubi4MGHCBK5evcqyZctIS0tj0KBBBAYGsmTJErKysjRNzaAzsG/EPn4f+Ttd6nfh/X3v4z3Xm80XNms9y6pNZUuGyr+vH5kK8Qpsz4LtGbAm9s59T4s376EDez3czAY1GSZNrOizKT2WvWAtiYKrV4FLGmwJgZvpue/NMcONUPhqWenmVNBCItMIYTcgPQ4cDeK5oiIO+RcKl5KgsQ7ccyq3l/z2eCAFLt/KQapu5XOV7X5QQqShryj0ejh+HD76CI4eFXX4DzwAhw5pGsbOzo6XX36Z4OBgNmzYgJubG6NHj8bX15dPPvmE5ORkTeN18+7G1qFbOfnqSfoH9qedVzsATt88zcW4eyB5prIlQ+UPWSs+ULeFeDRtA32evj38/8G0XG/eSQ9ZZriUDb3sYPfG0nn1Bd30yvpGWNR4eZPdDvwM6TWsS/S6ehnCzXA1EdbG3h76z8yEHVtKN+eCkiz3hcPNNHAEjkTnvteaiEOmEY5EwX0OEBcDHV0qzksu6vuIjIQ9m+EJZzgcJeYN1curr2z3gxIiDX1FUqMGvPuu0M7//PPbb8KJiZpK9PR6PQMHDuTIkSPs3buXFi1aMGXKFLy9vXnvvfeIjo4ufpA8tK7Tmm8GfENDNxESnbJ3CoGfB/Lc989xLPKYprGqDJVNmha07+uvXgW2sWALpJvhr3RoqIeGBvBTS+fVF3TTK+sbYVHj5d0LblcLhr50ezh/056Cr8sH00SYf3gzcHcR79u0J/e5pNjCv2trFjL5F2PbTPD7DehiC0kmuJIIK8+LaEJhEYe8C4X9EVBfATc96M2gplacl1zU9/H2ePBXwNtGzHd/ZPUqn6uM94MSIg19ZcDBAcaMEbX4990nnps8WWjqz58P6dYnxymKQs+ePdm7dy+HDx/m0UcfZfr06fj4+DBmzBiuXbtWoil+/fTXvNPtHfZc2UPHpR157JvH+D309xKNVWmpDklFF4Lhcir8kgObs+BoJjSygRQVAg3wx57SievkvemV9Y2wqPGKUhQsbrGxbCnYRt1egmftd23NQib/YmzIi9DCVRwvwAFC8kUTCoo4WBYK20xwIAYa20EyoBpEomFFeMnFfR9//gKtHcU8G9vBgWgx/+pSPlcd7ge3kIa+MqHX5/77mWfA21uU4/n4iO558fGahuvUqRMbNmzg3LlzvPDCCyxdupTGjRszbNgwTp8+rWmsOs51+KjnR4SND+OTRz/hTPQZDoWLbQaT2VT1a/GriyZ30+bQri6MbAHNPKC1A/g6Qk0HqG0HAbYlu2EVdNMr6xthUeMVpii4fFnxnfcWzQb/bFGl0NkVln8OXy0s/rsuja5+n0YiSbBfMzCmw+AmudGE/BGHvAuFIS+K788/AGr7iYdz7YrxkvM2AjJEiGud97X2taBDC3GeHVrA/d65UZaqqOSXl+pyP7iFNPSVlccfh99/F4/77oMPPoD33y/RUE2bNmXZsmVcu3aNt956i40bN9K6dWv69u3LH3/8oWksVztXJj0wiWtvXeONzm8AsPb0WpovbM7y48vJNlnfkKdSUV00uS3eYX7P0OIdtjBov2EVdNOz1liW5hj5IwcFZc0vnAW1swpfbCxbCjWSoKGd2O92txXlhub44r/rkixk8v8dqakQoIPYTOvGqCwiM/mlgwNyYOHs4r+PKmwMb6O63A9uIQ19ZadbN9iyBU6dgqAg8dzBg/DKK3Dhgqah6tevz+zZswkLC2PatGkcOnSIBx98kG7durFt2zZNtfj2BnscbIR+fh3nOjjaOPLy5pdpNK8Rcw7OITVbe0OeCqM63bgs3mFBnmFtP6hf7/YyPGsS6Qq66VlrLK3FEl53t71zvMIUBVHBIQEMt3JZCuq8t2i20Byw14ONCrExIlExKSU3ecxshgapYvGS97PLF0H9VPG6Fpliy9+R2Sya6HQyiGS1Nk7Fj1FZ9O7zNgKKixELJbcE4dVXd2nb6nQ/uIU09FWFVq1E5zwQMrtr1ojWuc8+K7L2NeDh4cH7779PaGgo8+fP5/r16/Tt25c2bdqwZs0ajBoa8gD08u/FsVHH2DVsF01qNmHC7gn0WdNH0xgVSnW8cVnjGRa2/5x3AVDQTc9szjWW6dkQFna7MYyM1JaJnz+8bsEy3vnggs9lTQzEASdjxPe1+/rtTWqWLQXHBFF9kGwCE3A1CgxmqE1u8tjVKEiKB0PM7V37XBOAFDEnaxYy+f+Ort2AjBxQzOBhFiVoVcErzO/N26hiodTBVnj1hX0f1WlvvprdDwwVPQFJCfjXv+Dpp0Wi3uefC+GdQYNE1zwNODk5MXbsWF599VXWrVvHzJkzGTZsGFOnTmXSpEmMHDkSBwcHq8ZSFIVe/r3o5d+Lv8L/IsOYAUByVjLT9k/jzS5v4u3mrflU7wp5jeIdVNEbV3Gen0W29Om6wpM9egTmzBPSpf8sANqAar5103O65UUjbv4GVRjLnVegXibkGKBmzdxmOEf3ic9bJHmLwmKQ3e2FCJDeWWhNWG6szVrCvIUFzz9AheM34MercCMZ2tuJxcELw2DnVogHduWASYXYLNHMRmcDNga4mQlxJjhzHVQjKEbRfc7izbe5JTgUFyPOzbLweGFYwRKvef+OTCY4HwmO2WCjgBlxLg83KHqMysA/jYAcxPfhqhMLJSc9OMRDo4A7v4/qRDW8H0it+6pOcjIsWQJ2djB2rLjB7NghWubmTe6zArPZzNatW5k+fTqHDh3C09OTcePG8frrr+Pu7l6i6e24tIN+6/sBMLTVUCbfP5kWtVuUaCyJBlJSYMqkwnXS8+qyf3cJglPg35/cqc1+34Nw6lY5pckE16+DAmSkgQqkZ4okvxRVJAKqQFgIPF/fet3z3j0g+BC42UBSDrh5Qe3aucdMzYJf842zeCH8MBuu3YQHbGFrMgxwhV+zwbcOPDUW1i0X/QEcDbD4DGRkQvt6EOWSO685s+HT9+ApR9iSDpOng50trJ4GbXLARQ8pJnCuKYz9L7HQZwxcvFC0Bv3ihUWPMWCidYugisDSkyH6JiTdFN+LhaQcaNEVdv5ccfOTFIrUuq+uuLoKWd2xY8Xv27fDU09B8+awbBloUMjT6XT069ePP//8k/3799OxY0fee+89vL29mTx5MlFRUZqn16dxH66+eZU3Or3BhuANtFzckqfXP02mMVPzWJICKGyfvaiysMhImP4BdHDJDcPbmeCrz+9sfxvYMnd/ePCLIow76d8QmQIfzICeAfB2h1zd+CEvimzs4hLYLPOOjITEGHi9ldCgf70VODvnZqcPfhFSbxbclS7cLLTuo4wQYAAnRfweocL2Lbnh173X4WYqdLODU9HglJqbo7BgNjS1AW9baGID82fB6ZO5JYrbssXPVZGw3SRC09u3FF9yl7fMsaAxKpNXmP9v6NM54vo7Oed+L5bH663E91UF96nvZaShr2488QR89x04OYkQf6NGMHu2JoOvKAoPPfQQ27dv5/jx4/Tt25fZs2fj6+vL6NGjuXz5sqYpNXRryJzH5xA6LpR/d/83tnpb7A0iietM9BlNSYCSfBRk0IsrC3t7PNROFxnhcXFCKtffAFkxhbe/zT9mZKTIur8RJ5LaOruKhcLyRXdm57/yUuELkUkTbk/0czRA7HUhS1vUeVhEcPo0hVAVurmICFa/W6I4zZrlVh/8dhOa24AbUFMRC4ErF0XDmcx46GgvIhFt9JAZB7FxhTfA2bQHkmKKL7krjyY65SXHWpgQUjXbp76XkYa+uqHXw3PPwbFjoj1u06aweHFuGF+D2h5A27ZtWbt2LRcvXuSll15i5cqVNG3alEGDBvH3339rGquWYy0+fPhDvn/uewDCk8Np/2V72n3ZjvVn1mM0a0sCvOcpqv95YWVhFtnS+x0gLlpkhTvpxd52bBK4JBae+Z6/s5o5HiKShcSrhz0Y425p7OfLzt/2fcELkae8ROMWS0MUEE17stOFZ11U5zfLfC4lQUMd1DSIaINFRa7ZrUjEgMHC07/fBZxtoXtdsRAYPynXm3fXg9EILir462DnZhHtyMs/3eiWFl9yV1TW9lefw79eLrhmvzgjXh5yrIX9DVWWMj9JmSANfXVFUaBXL/jlFzh8GAwGobDXuDG8+aaQ3dWAv78/ixcvJiQkhMmTJ7Nz5046dOhA79692bdvX4m88tpOtVny1BKyTFkM+WEIgZ8H8uXRL2VY31oKMujFCX28PR68FXDQQ3oOpGYLqVxUqKmCs3pn5nt+T72jizDQCcnwuKMoHUvMguQUsQ1gviWelH9bIP9CxD1HSKieihOfD0uB7SHwsCOkx8K8T8UiYP2l20vTLOfY2klowre3E+M66W/Xho+MvN2YO+nBmCi6yo0bC+nx0M5O9KbPvrUADlTA1gwxcXd6sk6phUc88n8vhXnD6dGwe0PBNftFGfHykmMtbFFYWcr8JGWCNPT3Ah4e4mdaGvToITx8f38YPhzOntU0lJeXF9OnTycsLIwZM2Zw8uRJevToQdeuXdm4cSNmy03eCmz1trzY9kXOvn6Wnwb9RE3HmozZPoaoFO25APcchfY/X1q40EdKCvz+M6TpYVsW7E6Hn9JhSxZ8lwYxZshS72x/mx59u6eupoKPCnZmqHdL5/zbS1BbEdn4127klpfZAvV1wtvPvxDJyhQSqhbp1OWhwshGGaGBHrKThcd+Nf720jSLIT0VCzUBswrxRpEZnmGEpAQRXh43Njc0D2BQhNcfYIQ9W6CmDtKA0GyINELkrfOvrYd1MXd6shFm8Mou/NpaPPKrl0XDnYXXciVhLfK2senwSL56emuMeHnIsVYz9TdJ4VS4oVcU5XFFUS4oinJZUZSgIt43UFEUVVGUOzIKJVbi6QnLl8PVqyJ574cfoGVL0CiHC+Dm5saUKVO4du0aixcvJiYmhgEDBtCiRQtWrFhBdrb1Cnk6RUf/wP4cevkQp147hV8NPwCG/jCUd/a+w43UG5rnV+0pSMSmVubtHqeFfxYBS6CTp9gvHtwABroKidzAmtDIHWo4QJLh9va3FuPUIk8lbmYGNDdAuglizUJ970oyhCiw2Qg/pYqks5WRIgktSS/2xy1zsMy7QcNc6dQnnhFSsX3dxJ57czuwV+CvyNyogcWrv3CrjvtEFoQqsC4r92E5fkYN+GUX+BjEXS7ZlFtLHxcL9YB4BzjvB9ty4JAODuvgLx1EqTBw8O0erKUJTp9GhV9bi0f+6RyRlOjA7ZKwQ14U+/ZdG99urIsz4sUZ5JLu3Vcz9TdJ4VSooVcURQ8sBPoAzYEhiqI0L+B9LsBbwF93d4bVlIYNYc4cIXTyxRfC2AMsXChK8zSE4R0cHHj11Ve5cOEC69atw87OjpEjRxIQEMC8efNIS0uzeixFUWjuKb7+HFMORrORmQdm4jvXl9e3vc7VhKuaTrPaUtgesD5LdK4zm+4MGbumijC25TNZmUIS19KMxNSg4Pa3FoW9+vVyx8s2iP3uhnaQ4C6MdY8AUZ4XmQKXokS2fN5ktCFNRch8/qxctTkLnV3hs5lCKraRLdRT4UY21DGDwZQbNTgVJzx1SyXA1ShxvPyPS1Fi3u4GSFRgc2buY1sWbEsTzxt00H/w7fPsWFcsMJKsDMfnmCEqBOZ8As63tigiIwtvAJTfWFveW5RXXZxBLsnefTVUf5MUTkV79J2By6qqXlVVNRtYDzxdwPv+C8wE5OZtWVKzJoweLfbzjUYhwPPEE9CunRDf0aCQZzAYGDx4MMePH2fHjh34+fkxbtw4vL29+c9//kNc3n1fK7DR2/Ddc99x/o3zDG8znK+Of0XjBY35IfgHrWdZ/SjM6EQnw00jLAm5M+wcqYIuPfczzrWFJK5/ALSte7vnmXcPNn9SVn5PPVYII1mlTd/YDGlxkJCYG95PzILUHMhOgU636rXb2sCFbPDV3R41OBAtPHVrEsGuXgbvwNzFi+VhqCXq5Ft5QgcPsfix5AEkZok9/yecYc+m29tGF5actjYGMjIgJRGiUyDsmtgyKKwBUH5jnb/qIL8RL84gF7SosAaZVX9PUaGCOYqiPAs8rqrqK7d+/z+gi6qqb+R5T3vgPVVVByqK8ivwtqqqRarh3FOCOWVJdjasXQszZ8L586I0b9kyeOSREg33559/MnPmTDZv3oyjoyOjRo1iwoQJNLRI+WogMiWS+X/NZ/IDk/Fw8OC30N8AeND7QRRFKdH8qiwWQZO8mExCmtRVgUwHCL56u5hLQZ/JS4eu1iVYLV4Im+bAI7XufM0iBKOaC35PZATsuiHq3x3toFkLUQ1y7hLUTQG9Ao+5gp0Ofk4RbkiODvzqwoP1YGc09H6z5EIzFjW9/o7CoF6OhG+uQ6facPIm1HIGt2yRDLgjBfyfhjXrih6vx33gFw57UyHQFi5nQ4YOJraBuk4Qnwk/3ur78IxzrkEHiEqDhWdhXCuolUeBMj4TNmUIUZ/Vq4q+3rU6QsZJIXyk5foU9jd0/bqI+HXuVvkS7ooTgZJUTcEcRVF0wGfARCveO0pRlKOKohyNiYkp/8lVR2xt4cUXRYLeTz8JdTIvL/FaeDgkJWka7v7772fTpk2cOXOGZ599lgULFuDv789LL73E+fPnNY1Vz6UeMx6dgYeDSCz86PeP6L6iO92+7saWC1uqfptcLRSUEd1/MLjYwhttoGOtOz2yssqitqbsqrD3/GyAGAWcdVDfFQYMhQaNhcqevQ1EmeBIJiSpwps/nQ3xuoKjBiVh9Sqomw1xN2DdRVBywNsg6uzvdxQ9431sRae/1o5wYG/x5W6uCVBPEYI9l7Ohpz3YmOFcgniPpezQNvZO7/lULDQAEuPh7NXbEyAtXnVR1zuzBvy2V3j7BTXmKQrL38OmPRDYVvy0CCINeal0Rv5u1vuX5/GqERXt0XcFPlRVtfet398BUFV1+q3f3YArwK0lMV4I9ep+RXn10qMvB557Dnbvhtdfh7feyl0AaCA0NJTPPvuMpUuXkpmZSf/+/QkKCqJz586ax0rPSefr41/z6Z+fEpoUSgvPFkzvOZ2nmj6leawqT0oKtGkqDMpD3tDCI9cjrCyeT0oKPNIFEkLhUTvYmwUmV0hMANscUf7Zxwl+zRL19ZnxcDIb6taGLnVyxympfKzFm38oE46Gw6Uc6O4rjPSa6/CyD+wNB/96InoARXvIkZHQpSX0UsHRBFlmcc2HO8LPWRChwLsdwd4A6y7A+RQhopNXljokFDJTQdFBVgZ4NciV/oXioyx5ZYxjYuBmJAQ7wnPvW399Fi+EudPg9SBYuzxX+rg0fzuWMcd/WHYyv5bvr6D5lcfxqiiV1aM/AjRWFMVPURRbYDCw2fKiqqpJqqrWUlXVV1VVX+AQxRh5STnxzjvw+OMirO/rKwz+VW3JcT4+PsybN4/Q0FCmTp3Kr7/+SpcuXejZsyd79uzRVIvvaOPImM5juDT2EqsHrEZRFG6m3QQg05hJek66prlVSa/AMufPFwjD2MdJZKc7Gipf9vTqVUJgx1cv5GZ9dEJK1WCEBgaoA7gZhITtuhiRPR+qgxOZt3uxGTVgSQm8+tWrwC0NomPhcg48YgcHwsXv3no4GAFdHcT1s7SvLUrZ7+3x4JkmjLwNooywiQHOGaGDDeQYxcIhMQv6+EKLOqDY50r7WpIJL0RCA294qfnt0r/FRVny7t2bzUI/wN1G6BZY69XnLetbOAtqZ5W+fO9u1/uX1/GqGRVq6FVVNQJvIP4LnwO+U1X1rKIo0xRF6VeRc5Pko317+PZbuHABRoyAr76CpUtLNJSnpyfTpk0jNDSU2bNnc/78eXr16kXHjh35/vvvMZlMVo9lo7fhhdYvcOrVU4xsOxKAJceW4DPXh//99j8SMhKsG6g8VMeKoiwWFqtXwZ4fYN4nuXrtDXVCqa68sqfzt7C15hxSUoRcblJKrrhNoF7s5TfWQ7wZOtmDRy3o3xz8fIUBjEwRxjDvFsOQFyHtpvbv6eplkZC4JU0sJtwUcDfD1jRIVCHVBG56kd2/PxJupsOWENBF36nsZ1EXbH9LbAfAVhFtXM/mgIsOvHVwMP72GvzLxwsWyilJfXzeZLprNyDLBNmIBYdNrHXjWI7t5wJuiWC4JRpUmr+du13vv2wJxIVDfafKt7itRFS0R4+qqttVVW2iqqq/qqof3XruA1VVNxfw3oelN1/BNG4MX34JISEwaZJ4bts20S3vt980lea5uLgwYcIErl69yldffUVqairPP/88gYGBLF26lCyN+vx6nQiLdqnfhS71u/D+vvfxnuvN27vfJiI5ovAPV4RXUNqFhWXO3jZgTIF2tmBUoY0tHIwUZV/lkT1tWVw89YQQ57HmHFavgswYYfycdWJuJhPYKaJRtq8eaiEked1ti5eWLcn39ME0sHcQx+xkCx4GaG0AZwV6OAiJ3GTEHv3ucJgTDFcT4Fwy+DoUrC5op4dsFRJMYFZEMmEdPVwCOjuBh5vw0C01+EMDChbKKay3QFGLKMvefd4qCEvznCupot1uUeTvOd/BFs7GiGhGSevpy0uAp7CKha+WiaqJ7PTyXdxWAyrc0EuqKHXr5iruJSYKbf3u3eGBB2Dz5tvrpIvBzs6Ol156ieDgYDZs2ICbmxujRo3Cz8+PWbNmkZycrGlqXRp0YevQrZx89SRPN32auYfm8n8//V/hHygPL6QoymJhYZnzzXSRUGZUhaFS9MJjXRtb9prklnk3soOzh2DRLOvO4XwwxKQLI7oxBW7kwJUcCNBDqEmU0+kV0JmE0SlKWlbL95TXWK5eBTmxUB+oY4BMM3joRTLcyTQwuIlyw2QXcFKFKNCj7kInf3DjXMPyr5dFAlyaHjamw4+ZsPVWlvxPmRCtQoQR0IN9PCxfVvi8i6qPL24haEmmy69XYGmeE9iy6GvzjwyxrQj7180TDYKidfmLG7MsBXiKKi+c+wlkVPItq0qCNPSS0vPCC0I7f+FCiIqCp5+GJ5/UPIxer2fgwIEcOXKEvXv30qJFCyZNmoSPjw9Tp04lOjpa03it67Rm9TOruTT2EnN6i/3Om6k3GfLDEI5F3uqxXhEyoKVdWOTVes82wsO3OrcFNIEmgSL87e4iPMmyLJFavUrs415LhEYGcEsQYd/iziGwuRDdSXaBOBOczIJLJnDQQV2d6G+fbhbnEnoDUO+MRpTE+7UYy+XLxNZBdBK0txFRBCNCJc9fD8E5sCICNmfDH9Fwv60QzbFPF/vuFm9x/izY9T3UthEG9YP7oEtdsLcDp4bg21483NvAn65CVnfLRuuEcizk7S1Q3CKqpKI3+b15/a1FuSUadDO9aF3+spxLcRQlVJQYK7Z+7saWVRVHGnpJ2eDgIBL0Ll2CNWtEmR6I9rhffCEa6liJoij/JOgdOXKEnj178vHHH+Pj48Mbb7xBSEiIpqn51fCjjVcbAE7ePMmOSzvouLQjj33zGD8vfw+1fs7dkwHVsrAoyoBZOrd5AjaK2KO1iNCUh+iJZd76bKirQIxRtHWNjSn+5mrRfj8QA13sIDgTnIA4M9w0w6ZM8diWCVtShfxu/miEVu83f6JZyk2opYKjDpLNYnGhB9x0UF8PXs7g2wRaukE9PbQ0QIhRSP0ejhLXNCMOOqki18CSsDfAX/Roz5tIZ+nlPqwpHDsqpIkLEsopyIChQuw1cIkvfiFYUtGbvJ+LTYUUBSJNQvffBRENKkyXvzDKS4CnsPLC1TdFX4W2Nndny6qKIw29pGwxGGDoUBg0SPy+Ywe89hr4+MB//wvx8ZqG69ixIxs2bODcuXO88MILLFmyhICAAIYNG8bpEmj09/LvRdj4MGY+OpMzN0/zaOICurYNJytvHX55egVawptFGbBOrhCXIdTpLHuzqyLFnm3emvaynHftLAiOBTtVaMh76SH65p376vkXKBbt9we8IbAW+NtClB6i7SDbATLtId1O/HSpmSu/a4lG5F8cmc1Cvrmji8gwXzI/V342f4c8fzfRiOZmulhUbM4UIfYfM2BjBmzPhFgTZGaKjnwN04U338EWrhpFLkEDBX68Cn4KXMwURb77Iws3ZpZjR6aBIROM+fQnOrvCbz+LCoL8BmzVTYjPggBT7nsL+1vMbwS3mXIb6RT1/ef93Kl6cCkg9+HRCp7qX7guf2GUV1vbwvQffAPA3wFs7Mp/y6oaUKF19OWFrKOvZPzxhyjL27oVnJyE7O5HH4G9ffGfzUdERARz5szhiy++IC0tjb59+xIUFMQDDzygeazMRXNZdehjLjTRM9vGB4A9piS661yw3RdfsnrtosivzGYhrxKapTa4sLpha5TpyrqW2DKXuimQEAfXM6G/A7jqINEMNeuJPe68am5565rzn3dB51vQMS0qaPnV4eLiIOYmeNaBA8kQngFkg4c7jP439HsaOrSC0X656nSLrkIj39w69uibkHQT3G7J7qKAQ6aQ4fXQCW9/f6aIljSyh+9ToKkBwowiAfKqHmwcxZiGW2N26CqS/h69H/rYwdIz0E0Pf2bBy23AwSb3/Ar6rix6CA2Tob2D2IbR6axXvCurevKSfF93Ey3/j+4xKmsdveReoFs32LIFTp2C/v2F4be7VWaVYGX52y3q16/PrFmzCAsLY9q0aRw8eJBu3brx4IMPsm3bNk21+PbXQhkV3ojZv/jALri8P5Pe2edplHyCz+rkkHqlmMxlrWgJbxa2j19enlNx83ZJg9MxQvWttl6EvlPMYFJFCZxlX335sjsTDQuLYixfVnhmed5oRt5ztmSZ/2EWPy+lQFqG6HCXnCK8+rfeAFJEa1vL8TrWEopveUPrLzcHTyf4v2aQlQPN9KI8TUGcV2sbuGiE5GzRNvdiDvSyF8l2TZ3BlHl7j4BP59y+rdJQEYl/njpYGlr8d7VsidBD6OwgFOos/SHy7usXdr3KqnIkJUVUVNTOqrxd7aROv2akRy+5++TkgI2NCOP7+cFjj0FQEHS8YyFaLGlpaSxfvvwf49+qVSuCgoJ4/vnnMRgMmsZSVZXdV3Yz48AMfg35lRr2NRjbeSzju47H3d5d89zuwFq9+crmUU0aD1t+AodYUEyQmE/nIE0Fz4ZC1c3GEZyicrXXu4+CdcsL9r6+Dgc1GyZOgxeGCQ9+6gfwwVQ4+Rc8YlOwCppFDe67S3A5FQKAHo7wSzrE2YuyuOdc4PdsGNNGqNNZNOfb3gfNm8OuxeBohKNRQuNeSYPWekAFFNHoCeBINoQahf6+M/CiM/ycCUYFIhXw9BNG3sUl93vrYwdrz8PTDuCuhzgjrE6HE5fF+wrSa7d483WS4SGHW1UUZmgUILz6n6OFgJCaDBP+c6fHnve6lKYnwJzPYEYQ3F8fHve+/fuqLN5yWfVtqIYU5tFLQy+pOBITYdYs+PxzoaPfs6dQ4OvRI/dGayU5OTmsX7+eGTNmEBwcjK+vL5MmTWLkyJE4ODhontqh8EPMPDCT3Vd2E/JWCJ5OnpjMpn9q9cuVvDdtC9bevMur8Yc1N1dL2DrvAmVpOATYQc/at7/fbIb1Z8DLA5I8YNCL8MVM6PgI/LINmrvA841vP++8CyB3Wzh4BrYmw0s1oIZBLEC+TYJ0I4yqCQczoUatXAndVVcgNRsCO0BGiuhr38MOtqeAXgfqrQWMXi/6PoBYlOYYQWeGYc7grhN18xvToZ49ZLuI7YJXX8vdVnE0ii2Ohx1zz9fSJKdbt4LD64sXwvz3QZ9nEZWUA25eYgF1I0o0nBniDadcC97mKe3CMCUF2gdCxxQ4bIIRzYVWgIXy2hqSlBnS0EsqL8nJsGQJfPaZKM87dw4CA0s0lNlsZuvWrUyfPp1Dhw7h6enJuHHjeP3113F3d9c8XkxaDJ5OnqiqSvcV3fGr4cfk+yfTonaLEs2vWEq7/1iRut8FLVDmnAaD++0a7pC7R97CAwyOcDEN+tWClRfBAejlIPrcJ2bfvvefV9v9t1BIMkJ3J3CyAVTYnQQRJmjsAH524rNNm4tjXgiGPm5wvhYMGgG/LyveA540Htatgtqp0M1eHCPHDH9lQYQKzWpBZm0xv2kfwF9/iOM87QAueYxkigl2qlDH685IRXHf+Y87oVvH3L37ax7w+Ljc+ZZmYZj/+1v3IXTSwR/pkFQL6tW5/T33sLdcFZB79JLKi6srvP02XLsmEvYsRv6994TUrgaFPJ1OR79+/fjzzz/Zv38/HTt25L333sPb25spU6YQFRWlaWqeTp4A5JhzaF+3PRuCN9BycUv6r+/PofBDmsayitLsP1ak7ndhddQjGt+p4W7ZI3+9lShPM2SDexK4ZYGvKgRrPHRijzqvClre8ZPTRc/6TnaQahQd7+KM4G8QLbBUF7FQuN9b7KPnzSL3yhKKataUOI6fBFnpQqugtoOQunVQ4CF7sAP6+uTuX386BwYMBgcDNPATAjyWh3+AkMZ1TShYOKeo73zc2Nv37hubc+cbGSkWGK2dbp+31soRy/fXp9GdWgwl6XIoqVRIQy+pFJjNsOMXOwZ/9xjdHs3ihf9LI3HDHnjlFfD3F96+BsOlKAoPPfQQ27dv5/jx4/Tt25dZs2bh6+vL6NGjuXz5sqb52eptmfv4XEJfOcu/Uzvwe+hvdP2qKxuCN2g91aIpTbKdNUI85dlCVGuioYe9qEcPjoX2Brh5QwigRGWLZLi4GPGHYRGrcUvLHf8yUM8O7GzBrAe9K2QAng7Q1B68bhm+vAI0FsPe2CwMp+OtHI78yWZ5r9Hb44V6ngLEZEFsjtg/1wFeOth78XajumObKNVbG3v7d2epS29hyJ2X5TPFtaL9eafoZeCuByc9GBPFYmXNajE/NRlOxZUuMa08VO0klQYZupdUOGYzTJxiZNdfybi1icCpViZpsfYknajHm16HGR33Kcq+fVCjBqxdK7rolYArV64wa9Ysvv76a3Jycnj22WcJCgqiXbt21g9yKzSe+lYQX3cw8Er7V3CwceCncz+RZcri2ebPYtBpSwIsE6zdpy2v0H5JEw1/i4QbN+F+G4jNgktGOJMj5Gnvd4LjZni6Cay6BPYeuVsAlhavFhQdkA2ut669lzM8LkomWXUFvGzEnr/ZDBfPw/EMcLSDp5qLZLe81ytveeCKpRB2SeTopaeDrQpOefwjNz0MbgO/xkOfMSLxsLBWqkWF1wvLrZgzGz59D15wEYYexHaFWgN+tRVbIPeb4ZcssUVhyLNdkPe6F4UsV6s2yD16SaVlxw6YOD0evwHn0Bly/x7NRoVrPzXjs3c9eNzjMHz6KcyZAw0aQHCwqMn38dF8vBs3bjBv3jwWLVpEcnIyvXv3JigoiO7du6MUlQRYRE/sJ9c+yfZL2/Gv4c+k+ycxou0I7A3adQJKjDX7tEX19L6b87TUxGeZYGUw9LMHUzZkmGFXFnS3g80ZYGsATODRAOrXLdxopaTAww+As93t/d4BjCaxZz6oJrTwE3v7iTch2wQ/pcIz3qDmiN4NBRnrH3fC/6aJZk6zPgA1Sxh6vQEMNrcnzBkcwTnqzn1/awxpfu0By3nlzcT/55xuZeT/qQMv2zuTFkvzneRHJuBVKeQevaTSsnJ9Nm5tIm4z8gA6g4pbmwhWrsuGzp3h+++FkQcYPx4CAkTL3LNnNR3Py8uL6dOnExYWxvTp0zl+/DiPPPIIXbt2ZePGjZgLa8hTRGh8y5At/DToJ2o61uTVba/iO9eXNafWaJpXibFWZ/xuN+8piLxh6rUx4KpAQjYkmYQn760HH73QmM80waNOIhu+KN3+1asg9WZunbwlDyCwLQwYInT269cTIe3YVKGklmQUGfTLw2DtzVzZ3e1bbr9GkybA3h9h3qdgD7xQA15wh5428GqLXPnb1T9CUkzB+/4FbWvEZ0BUJLimFqw9YDkvXTokKkLRz/LYngVb0+FGSsFbAaX5Tu6WNoPkriINvaTCCY9QcaqVWeBrTrUyuR5RQNRp2TIYOxY2bICWLUUjnSNHNB3Xzc2NoKAgQkJCWLx4MTExMQwYMIAWLVqwYsUKsrOzc99cjEa9TtHRP7A/h14+xC/Df6GNV5t/PPrEzERupt4seBJl1Ze+uP3ximjeUxB5JU2fGgCuzWBzFvycDWeN0Egv+tMHGoSWeU3b3P3ogrAko/WpfaeR/Pkn2LXtdiN2qp5oOPOLGVR70Ze+Q+3bjXUHFyGx295RyOLebw9JcVBHEXfMmBxIM8K5kNxrPGkC1M2G1GixPZB3j7sgQ7omRiwwIrlzcZFXHMk7EOq2uPPh5gUtXEWUAkq3p16YzKxMwKs2yNC9pMIZPCKbUNcL1GqSdMdrsRfd8E1uyrqVtgV/OC5O1OHPny9EdyZNEjdaRdFci280GtmwYQMzZszg5MmTNGzYkIkTJ/LKK6/gtGpFiUuY/vPrf5j+x3ReavcSb9//No1qNMp9sSz2zK3ZH28UUDYlWGWNZcvBlAhR8dDDGZwMQpv+RDbU9ID7vAvfKx46CPb9BD19IM0gzueFYSJU/qAOvguHQ6ehXj3x/rxhdFMKhEeJPgFN6oFbe8g4Ce0VuBkJTi6wP06E6q9ki6Q/JxuITgcXBRJUaNVa6KyHhcBz7pAZA3Xqgadn4XvcebdQfs0BswoDXbTJA8s9dUkByNC9pNIyYrAtSSfrYzbebpjNRoWkk/UZMaQQIw9Qsyb8+9/CAxszRjy3Zg20awfr14PRaPU8DAYDgwcP5vjx42zfvh0/Pz/GjRuHd8OG/OejacS1yCe8Y6VXPLTVUIa3Gc5Xx7+i8YLGDP1hKCdvnCy7crjiPLIPppVPC9HSEhkJ0z+A5nZwIhbus4O0HEjOElK0HW3F8/a6gr3VyEjYtQk8FDgUCW1udVpbtuRWr/Uc8EyDSRNzP1NYH3ayhPfezlE8724DyYnQyRYuZQrDrlPA3x1aOcCLHhBoC95NReleExdIjBPCO6E3RGi+oMz3lBTo0wtir0N9J3BJAHO8mE9Y2J0NggpCSsBKNCINveSuYDaLpLvBI7Lp9mgWg0dks2OHeL53b+jdxZVrPzUj9qIbGfF2xF5049pPzXj8Pld69bLiAE5O4HhLiczdHbKzYcgQaNpUtMnNLHhroCAURaFPnz7s37+fAwcO0K1hAz6MiMZ75knGf3OR6yHJmm6sjWs2ZslTS7j21jUmdp3IlotbmLpv6t3bM6+shuHt8VA7HY6GilI1GyDLDNG3yusUoI4Ofg0peFHy9nhwVyHZBDYmoW1vqZHv4CIM9gOOsGeTWBTk78Nuo4JBgfZ2cPQGNEQo0GWZIN0EObfEcTx0EJ4DmOC3m9D4Vse01o5wYK9I9otUYWcm7DWJn2tiC97jXrYETh6GrDQ4fBP8MkXb28hoSE4Q87Km7a/cU5doQIbuJeVOoeVzJ+vz+H2uzJohEop274aV67K5HqHSsL7CiCG29Oolqp9KdNDNm2H6dDh8WMjr7t1bshOYNJ6zv/3MzNAo1kbHokNhWJ1aTPauS6CTg2a1sISMBJLiIvAdOITLT+sYSQiT1To8ucUO3Z4/yz7sWtHa4AWVjkVGQht/GOIAf6ZB4q37UKpJGPl/StgUqG0PA1vcngEeGQmtGon2tI/awc9ZYLCFJ73g+wh42Qey4sDNAJuSIbkejH5NaNx39xDG0lUnDD3A+iQw6SA1B7wcwHgrPyPRLErrfAwQD2Sq8E5HoZ8PBev5FxWyb9UY0mPhCXv4zQh9HeFUNpjM0MFe9IRvFCAqAGS2u0QjhYXuK6DgV3KvsWsX7Por+bbyOQePLDwaJbPzp2b02u3B449z61FEmF4LOp3olPf007B/v+grDkJu95NP4I03wMvLurE+nUMLYBXw39BQZs+ezbJly1hx5DT9+/cn6LkhdNYwtRoONaixZS3UNxLubMv1pCz6mS/R4mFbpiwby+A3l2Kjz9PStLT69dYY8fLSyIc8neja5Bqut8eDtwIOeujsBM41QVVhdyhEmUG1EQpziWZwCBTeKnm81bfHg5sZvA3Q0AC+Rogywt9RInP/YAQ8eEs0x1URqoubfgJdLVhzExIycmvuQdTUqwo00MHDNcCYDi4G2JYEV4zwuDP8kgwXTPDnDehxq/rDIubT2hk8PMRzHvZQN1lESvIa6mVLRFJfq1tzbmCEczngZ4CNKRBrECp/brGiXE965pIyQobuJeWOVeVz5YWiwMMPC48eYN8++Phj8PWF116DK1c0Defj48P8+fMJDQ1l6tSp7Nu3jy5dutCjRw92795tXZvcPCHkh+3cueTZiW/cmoKjnuHJK2m5sDk5ppzc9+dt2VpelPYYhVUPFJSHkJICv/8MaXrYli2S4VZGwvLrkAiYFWhSA8a3h67et5fNWUR3/tgrQuutbcAEtLYV4fbTmRBjggQjpJtFhvzlbHjEDi6fFWV3ffpD0za3Z7F7BopmNYEOsCsWsnRCVld363EgHVBEn/q/o3O3P3LMkB4n1Pbykj/8npIiSvRsVGh3azHb2gaumsX5NrWHDnVyy/WKKieUSDQiDb2k3ClR+Vx58fTTcOGCqL9fvhyaNBF7+Rr09AE8PT2ZNm0aYWFhzJo1iwsXLtC7d286duzI999/j8kSQSiIfHvmNkk5DMty55RtK7ac82J0Tpt/PPoVh74gYfXC8tWvL4ukQMtCIX+P+fx5CF8tE/3O23oIQ/6vllDXRfR3dwVe8oA2jlAnj4Rt/jmtXiXC7gH2UNMBDHbip68NuNpArAppNmIRsSEdaunBywC1M8T8CkpeHPKiqLdPdoE4M0Q4g9kFIk3Q0x4u5IhmOT3tIT5bSNpatADqGiAnq+j8h9WrIDtZRCBURSwiVMDNBFvTINUAsRmVR3q2vKSSJRWCNPSScqdBfYW02IJV4tJi7WlYX1sZXKlp3Bi+/BJCQmDiRJGoZ2cnXrt0SYSQrcTFxYWJEydy9epVli1bRkpKCs8//zyBgYEsXbqUrIIWEIUkU+l2K/SN9mHCjYYAnI89z8hdr+Hd8wJve8YR4V1OiXOlTQrMu1BYOAv2/HBn7b7ZDA1SYe5MOPcXGG5FLA5Hw9U4MCaL7ZUsM7SxhYORosSuoITB88EQk56bFGd5NHOCdKCmPYxsAc83EX3kH3IWC4GO9rBwdsHG6+plSK8BB2LgASc4EC0iDLX1UNsgQvrOBmjuDI0MMHBorhZAjZaiPr+wxLiUFPhqoWiG84gL1HEQD08HaKkXGf7/aika/EDFV0PA3YkiSe4aMhlPUu5YJXFbMvn6skFVRYg/PBwaNYKOHUVNft++mjMBTSYTGzduZPr06Rw7doy6desyfvx4Ro8ejaura/ED5CUlhVMD2vNJ9wTWm+PQoTD8ujsff3SU2nUaFf95K49R6l7mllr4x2rB8r/Bo0Zuj/nfl+a2lb0eAT+lQXd7+FuFwU1h/QV4UA+/pIOnDjzsRDZ7/japeRMG80q2ms2itXHduuK7+uEiJLuJz0XeALc46JanL/wRMwydVnCSW14Z4bUX4EwcjHAT0YOQdNiXJVTxYnPgV2c4ds66a7R4ISz8EFwyhPiOhQwjZOfAaTPU94IueVrCVqT0bGWQSpaUCFlHL6kwyqR8rjyxCOvUrAlz5wrD8fTT0KoVrFoFOTlFfjwver2egQMHcuTIEfbs2UPz5s2ZPHkyPj4+TJ06lejoaOvntXoVrV0NrK7dgku1OjHKsS4766Tg8MMmAJKzkjWcZOHHKFXXsvwlax1s4VoiuKfD4tm53nxcDISbRHc6Tx3UVGB5KNTSgSPgqYcbetC7FdwmNe9+dd6IiEVhzlLO5twEnuovPufmIsZpEpj76NOoYG85v3KgPgu8dYAO4o1QQyekeY9kgotd0Wp9+cdd+iWk6iBUgXVZuY9vM+CHLLhihhOZladMrjJIJUvKFOnRS+4KZnMZl8+VJ0YjfPstzJgB586JcL6fX4mHO3LkCDNnzuTHH3/Ezs6Ol19+mbfffhtfX9/CP1SI+ll2XDq2m7Mw7/6dFt/cRwPXBrzT7R0e8X2k6IY8Go6hyavP681fPC/043/LgHgbUDNgUEtISID4WNibCk/Zg40eTDVhbSSMqAckioS0TRkwojnY3WpMU5xXW5TnqbVRS15vPtMIC09CDxuoXwfi48R5pZrFHMe0gXSjddeovLoFlhdlEeGRVBjSo5dUKDqdKJ9bt9KWP/basW6lLY8/XgmNPIDBAC+8AKdOCf18i5EfPhz++19huDTQqVMnNmzYwLlz5xg6dChLliwhICCAYcOGcfr06YI/VIjIja1eD27pGNesYmTbkZyJPkPPVT3psqwLP577EbNaSEMeDcewSkgnJQVeeSm3z3t+AZqoFIhR4ZtokVG/LUMkxSkKZJrhUiI01gHpoBqEjGwt3e193IvzaovyPPN6/dtMsPBabgJd/nHze/OHo8ET0fv9ahSk5whRHrMKNVXYH2n9NVrxBTzlBR9PFbX/lR3Zl75aIj16icQasrNh4EDYulWUP40eLTro1a+veajw8HDmzJnDl19+SVpaGn379iUoKIgHHngg901WitxkGjNZdXIVnxz4hCsJV/jh+R94ptkz1k2kNEI6ixfCtCBo5Ah9fe4UoPkjA2p7wtls8HeAKzfgaQfRUz0mBzanQ38nkYHeJPDOnvDFeY9aPM/ivOr83v/OULhxq9d9fCaY9GBjIyoz7OzAwRl8fUQL3NQs2F/IfC1RgvYK/HQVAgfAmnVFn1dFIjX0qzyyH71EUhacOiUEd9avF8bpxx9F0l4JiI+PZ+HChcybN4+4uDi6detGUFAQTzzxhOYwvMlsYvOFzTzV9CkMOgNfHv2StJw0RnUYhbOtc4nmVygWg6C7CdfSwKMWJEXfLkADokQuIRl0DuCYBd1u9Qr4Ox0SjSIbPs0MrrVEfgRYn4SWN9RuoaAmPdYkllnbFCj/YqGoBYTluP0cIPaaqChYnwknLuc22CkJ5SlsJPvSV3mkoZdIypJr10Ti3ocfQo0acOCA8PY63vF/rFjS0tL46quvmDVrFtevX6dVq1ZMmTKFQYMGYTCUTLxy8IbBfHv2W2rY12Bs57GM7TKWWo4F3MBLQl4juzMa0utCTvqd74u+CQk3xJ67jQJJWeBmd0toxgR6W7AxgJMzNPTJ/VxxkrxaPM/8cy1Jt76CFgtQ9AIirzefHC2keLemQKN+pfPqy3PPv6KlkiWlRhp6iaQ8eeQR+PVXocAXFCR+avTKc3JyWLduHTNnziQ4OBhfX18mTZrEyJEjcXBw0DylQ+GHmHlgJhvPb8TB4MCc3nMY3XG05nFuQ0vIPK/hiLwBiVHgXq/gkjktWOt5llViWUGLBdVc+AIivzfvfmtLI84Iq9NL7tXLsjdJMchkPImkPNm0SYT0z56Fxx6DTp1EmYEGbGxsGD58OKdPn2bTpk14eXkxZswYfHx8+Pjjj0lMTNQ03n0N7uOnQT8R/Howg1oOommtpgBEpUQRHBOsaax/0JKsZVGgs5S6DW9WeMmcFqzt3lYWiWX5E/U6u8JXn+cmIVqey1uyZ0lyTEq41QnPfKvDngINuL1trhZk2ZukhEiPXiIpSzIz4ZtvhNEPCoKXXxZJXIoCttoa9qiqym+//caMGTPYuXMnLi4uvPbaa4wbN466deuWeIoTdk1gzqE5PN30aYK6BXFfg/us+6DGZC2zWTQ0ipw2n97qIrIeqY3X3zE4DHgTXXnv9ZZVYllBuQBfXBCta59vnPtcXq9+0ng4/IdQ8KuhA0Mef8pohjR7CL6qzRuXZW8SK5AevURyN7C3h3/9C86fF3r6IOR2GzWCzz7TJGuqKArdu3dnx44dHD9+nCeffJJZs2bh6+vL6NGjuXz5comm+O6D7/Lv7v/m97Df6fpVVx5e8TC7r+SLPhSkda6hHM/Smvj9/4bySMQCsrraka3PJNzbmZszFmFOKmd519KUDlrI782DqLFPThF95M15ShnzevWfzoHBLwrt/JEt4P+a5T5GtoDmbtq9cVn2JikF0tBLJOWBXi/q8QHathXNcyZOBB8f+OADIQmrgbZt27Ju3TouXrzISy+9xMqVK2natCmDBg3i77//1jRWLcdafPjwh4SOC2VO7zlcSbjCmtNr/nndrJoL1jq3NmRObmvikfXnY9/YiNnDgMHOhM7bTHbtLM69X84GSsNcC6WgxcL+CKitgEGFazcKX0CUxfEtFLTggMI18WVDGkk+ZOheIrlb/PUXzJwJP/0Ejz4Ke/aUeKgbN24wb948Fi1aRHJyMr169SIoKIiHH35Yc2letimblKwUajrW5O+ov3n+22eZ9EcWIxrVxP43ShQeHjwimxj7v1n+ywuYn3bE6JZn2yLGiP2PZhqe+7Nyh50LykIPCYXMWzX2+asFoHwy00ui8leV1PgkZYbMupdUeix7uivXZxMeodKgvsKIwbb07l1JFfRKyrlzkJEB7dvDjRvwzjvw9tvQooXmoZKSkli8eDFz5swhOjqaLl26EBQURL9+/dCV4KIdCj/EmysHc8QYSh2dDePD3Xm1TRBur0/QNE63R7N43uF9BsWvI+1+99teM5t1OP2SSt3Rb0tDZKGo+ngtZW8yM/+eRhp6SaXGsqe7669k3NpE4FQrk7RYe5JO1ufx+1yZNcNQvYy9ha1bYdAgSE+Hfv1EAl/XrpqHycjIYOXKlXzyySdcu3aNwMBApkyZwtChQ7HVkgSYkoL6aFd+7Wdiuu4Ge7ITaZhhw9V3bmJwq2H1MINHZNM/+GXapd+5rWDM1GNnciDguftlXbaFsvLCy0I3QFJlkYZeUqmp9K1sy5O4OPj8c5g/H+Lj4eGHRWmejY3moYxGI99//z0zZszg1KlTNGzYkIkTJ/LKK6/g5ORU/AD5ssyP5aRw4dgNhnZ5H3X0q/z3t/8yrPUwGtUouk3uXfs+y1Mp7m5RVl64zMy/55FZ95JKzcr12bi1ibjNKADoDCpubSJYuS67gmZ2F6hZE/79bwgNhTlzoHXrXCP/22+im56VGAwGhgwZwokTJ9i+fTt+fn6MGzcOb29v/vOf/xAXF1f4hwtI+upg48LQJg1hxWLOhhzmo98/ovGCxgz9YSgnb5wsdKi71pq4oKTBqkZZ1cfLzHxJIUhDL6kUhEeoONXKLPA1p1qZXI+ofpGnO3B2hnHjYN488fvFi8K7b9oUvvhC1OhbiaIo9OnTh/3793PgwAG6devGhx9+iLe3N+PHj+f69et3fqiYkrSWu/7m2lvXmNh1IlsubqHtl215Ys0TRKVE3TGUTgezZxr47F0PfJObkvl7a3yTm/LZux5ltw1jWZg8Xbfg7POqQEGCPCU5F62Z+ZJ7CmnoJXcds1mEdgePyKbbo1kMHpGNQaeQGmtf4PvTYu1pWF9jr/XqQECAaJpTqxa89hr4+sKMGZpv2vfffz+bNm3izJkzDBw4kAULFuDv789LL73E+fPnc99oRUlYPZd6fPLYJ4SNC+OjHh8RnRZNTUfRkCYkMeS2Nrnl3pq4OijFlZUXXha6AZJqS4Xv0SuK8jgwD9ADy1RVnZHv9QnAK4ARiAFeUlU1tKgx5R595aWwpLuIfb5kkUOHl8+hN6ioZog5X4Pw4zVICnGjY2sbpoyvhhn41qCqsH+/MPK//SZC/J6e4mKW4GKEhoYye/Zsli1bRmZmJv379ycoKIjOnTuXYGoqiqKQbcqm0bxGuNu7M+WBKQxuORgbvfYcA6upDvvRZdkWVjakkVBJk/EURdEDF4HHgHDgCDBEVdXgPO95BPhLVdV0RVFeAx5WVXVQUeNKQ195KSxJy5StcHhBG5w9s/HqEkHUSQ8S4/Q4NrlBjbrZuBocSK7uGfjWEBUFdesK49+jBwQGitI8f3/NQ8XExLBgwQIWLFhAYmIijzzyCEFBQTz22GOaa/GNZiPfnvmWGQdmcCb6DN5u3rzd9W1ebv8yjjaOmudWLNa2qa3MyLawkjKmsibjdQYuq6p6VVXVbGA98HTeN6iquk9VVUsPzEOIthCSKkphSXd6W5WAvtfwdXPB7nwgSTfsqf/YJRp3TKVR82w8myThN+AcOw8lF9krpqBtgR07blcrrdJYNO6zsoTa3vLl4ufQoXCy8OS4gvD09GTatGmEhYUxa9YsLly4QO/evenYsSPff/89JpPJ6rEMOgMvtH6BU6+eYuuQrTR0bcibO9/kt9DfNM3JKqrLfnRZqudJJEVQ0R79s8Djqqq+cuv3/wO6qKr6RiHv/xy4oarq/4oaV3r0lZduj2Zh/+ApHDyy7ngtI96OzN9b06C+QqjrBWo1SbrjPbEX3fBNbsq6lXfWht+TtfhRUTB3Liy+ZeA2boSnny7uUwWSlZXF6tWr+eSTT7h48SIBAQFMnjyZ4cOHY2dnp3m8wxGH6VSvE4qiMG3/NJKzkpnQdQL1XErQojUv0hOWSAqksnr0VqMoyjCgI/BpIa+PUhTlqKIoR2M06ohL7h4N6iukFZN0V9IMfIu+ut+Ac9RqkoSDRxa1rIwEVFnq1hWyumFhomOepW5t82bYskVTKMPOzo6XX36Z4OBgNmzYgJubG6NGjcLPz49PP/2U5ORkTVPrXL/zP1sAUSlRzD00F795fvxr87+4GFcKb1V6whKJJirao+8KfKiqau9bv78DoKrq9HzvexRYAHRXVTW6uHGlR28dFSE5a42Qyop12SXy6AePsO5z94TU7qOPws8/C1ndKVNg8GDNAjyqqvLzzz8zY8YMfv75Z9zd3RkzZgxvvvkmtWvXLn6AfFxLuMasP2ex/MRysoxZzOk9h7fue0vzOBKJpGAqq0d/BGisKIqfoii2wGBgc943KIrSDvgS6GeNkZdYhyXMPXF6PCGuF8hue4pDaecZ8mYczdtls21b+exrWyOkMmKwLUkn62M23p4QZjYqJJ2sz4ghBUu6WhMJyHveoa4XsH/wFKGuF5g4PZ63g4zVZy9/505YvRoUBYYPF6V6GzZoGkJRFB599FH27t3L4cOH6dmzJx9//DE+Pj688cYbhISEaBrPr4YfC59cSMhbIbzT7R26+3YH4GLcRX6++jMVXQEkkVRXKtTQq6pqBN5ABN3OAd+pqnpWUZRpiqL0u/W2TwFn4HtFUU4oirK5kOEkGrCEuX0HnCPTMZHYzDRs/G5Se8AxonLieW1KSrkYPmuEVEqqqmbNtsA9E943GOCFF+DUKaGn37BhbrgiKUlI7WqgU6dObNiwgXPnzjF06FCWLFlCQEAAw4YN4/Tp05rGquNch496fkRbr7YAzDs0j0e/eZTOyzrzQ/APmMzWJwFKJJLiqfA6+vJAhu6LxxLmtqmTRPgNI7bumVgqqtKueWC63AA3W/sK05g3m4Xc+8p12VyPUGlYX2HEEFt69So8vF6e2wLVAlUVHv6HH8KsWTB6NEyYAPXrax4qPDycOXPm8OWXX5KWlkbfvn0JCgrigQce0DxWpjGTVSdX8cmBT7iScIWmNZvy/kPv80LrFzSPJZHcy1TW0L2kgrCEuePizegdcshbNm3rkU5Wqk2FasyXRFXNmkjAPS21a/mSBw6E/v2F1K6fH7zyCly4oGmoBg0aMHv2bMLCwpg2bRoHDx6kW7duPPjgg2zbtk1TGN7eYM+oDqO48MYF1g9cj4ONA0cjxUJdVVXSstM0zU0ikdyONPT3KJYwd3YO6Ay3x+ez4x2xd82pcobPmm0Ba8L71Z5WrcT+/aVLMGoUrFkDkyaVaCgPDw/ef/99QkNDmT9/PmFhYfTt25c2bdqwdu1ajBoa8uh1ega1HMTfo/7m454fA7AvZB8N5zTk3/v+TWx6bInmKJHc60hDf49iSXiz0SmYjbl/BqpJIfVMA+q3ia+Shq+4SEBJE/2qJX5+oj1uaKioxQe4fFmU6P38swj1W4mTkxNjx47l8uXLrFy5EpPJxAsvvEDjxo1ZtGgRGRkZVo+lKAoONg4AeDp60t23O9N+m4b3HG/e2vEWYUlhWs5SIrnnkYb+HsUS5k7/swWplzzJTrQn7ZoH0dtbUaO2kZoBSdXS8N219qlVidq1odGt/vJXr8Lp06I8r3Nn+OEH0KCQZ2Njw/Dhwzl9+jSbNm3Cy8uLMWPG4OPjw8cff0xiYqKmqbWq04qfBv3E2dfPMqjlIBYdXcQDyx+QCXsSiQZkMt49jNksqrAmvJtF+A0jDp7pNGgTj517Nsmnqq+aXEkS/e4pMjPhm2+EAM/ly9C6NRw7JjL5NaKqKr///jszZsxgx44duLi48NprrzFu3DjqWuR8NXA96ToX4y7Ss1FPjGYjr219jZfbv8x9De7TPJZEUt2olE1tygtp6LUhDZ+kQEwm0Sb32jWYPFk8t3YtPPVUiTrEnThxgpkzZ/Ldd99hMBh48cUXmTRpEgEBASWa3umbp3l45cPEZ8TT3ac7Qd2C6O3fW3NDHomkuiANvUQiKR2nTwvvvkYNeOMNGDtWtMvVyJUrV5g1axZff/01OTk5PPvsswQFBdGuXTvNY6Vmp7Ls72XMPjib8ORw2nq1ZfvQ7dR10R4tkEiqOrK8TiKRlI5WreDQIXj4Yfjvf8HHB958E+LiNA3j7+/P4sWLCQkJYfLkyezcuZP27dvz+OOP8+uvv2oqzXO2dWbcfeO48uYVvn76a3zdfanjXAeAIxFHyDQWXEopkdxLSI9eIqnEVFpd/nPn4NNPYft2sY/v7Azp6eCovfd8UlISixcvZs6cOURHR9OlSxeCgoLo168fuhKeZGp2Kg3nNMROb8f4+8bzasdXcbN3K9FYEklVQYbuJZIqRpVou5uRAQ4OYrKtWglN/aAg6Nq1BENlsHLlSj799FOuXr1KYGAgU6ZMYejQodjaaqv+UFWVX0N+ZcaBGey+shtXO1de7/g647uOp7aT9oY8EklVQIbuJZIqRpXQ5XcQ9e5kZ8Pzz8Mff8D990P37kKTWIMj4eDgwKuvvsqFCxdYt24ddnZ2jBw5koCAAObNm0damvUKeYqi8IjfI+watotjo47R2783Mw/M5FrCNQDZQEdyTyE9eomkkmJt291KRVoaLFsmtPTDw2HTJujXr/jPFYCqquzcuZMZM2bw22+/4eHhwZtvvskbb7xBzZo1NY93Pek6Dd0aAvDq1ldJzkpmygNTaOPVpkTzk0gqG9Kjl0iqGFVSl9/JCd56C65cEaV4Tzwhnl+2DBYvFjX6VqIoCn369GH//v0cOHCAbt268eGHH+Lj48OECRMIDw/XNDWLkQeo5ViLLRe30PbLtjyx5gl+C/1NevmSaos09JUYs1lEPwePyKbbo1kMHpHNjh3l0ydeoo278d1UaV1+W1sYMiRXZGfzZnj9dfD1hRkzRKtcDdx///1s2rSJM2fOMHDgQObPn0+jRo146aWXOH/+vObp/a/H/wgbF8b/HvkfRyOP0n1Fdz7981PN40gkVQFp6CsplkSsidPjCXW9gP2Dpwh1vcDE6fHl0ideYj1367sprS5/pVoobtoE+/ZBmzbwzjvg7Q0rV2oepkWLFqxcuZIrV67w6quvsn79epo3b84zzzzD4cOHNY1Vw6EG7z30HiHjQvi8z+c82/xZAI5GHuWbk9+QY8rRPD+JpDIiDX0lpUokYlVjijKSd+u7KY0uf6VbKCqKqL/ftUvI6T7+uKjDB4iKEqF+Dfj4+DB//nxCQ0OZOnUq+/bto0uXLvTs2ZM9e/ZoCsM72jgypvMYGtUQev8rTqxg+MbhBCwIYMFfC0jPSdc0N4mksiGT8SopVTIRq5pQXFlbxA0zYW5357spqTzxjh0wcXo8fgPOoTPk/h83GxWu/dSMz9714PHHy2SKpeett0QXvUGDYMoU4fVrJCUlhaVLlzJ79mwiIyNp3749QUFBPPPMM+j1ek1jqarKtkvbmP7HdP68/ie1HGvxwUMfMLbLWM3zkkjuJjIZr4pRJROxqgkWj92jxzmSbRIIjc0g2SYBjx7CYz9zmrv23RTXdrcwVq7Pxq1NxG1GHkBnUHFrE8HKddllNsdSM2UKTJwIW7ZA27Yige/33zUN4eLiwoQJE7h69SrLli0jNTWV559/nsDAQJYuXUpWVpbVYymKQt8mfTnw0gF+H/k7Xep3ITEzEQCT2URkSqSmuUkkFY009JWUKp2IVcVZuS6brHrhRMbmkK3PQuecQbY+i8jYHLLqhZOWYa70302VWijWqyc65YWFwUcfwdGj8NVXua9riDra2dnx8ssvExwczIYNG3Bzc2PUqFH4+fkxa9YskpOTNU2tm3c3tg7dytSHpgLw0/mf8Jvnx782/4uLcRc1jSWRVBTS0FdSSpuIJSk5Z86q5NilYeueicHehM6gYrA3YeueSY5dGiC+g4Q4havXzJy/aObqNTMJcZXnu6mSC8UaNeDddyE0VMjrAvz9t1DcW7UKcqxPjtPr9QwcOJAjR46wd+9emjdvzqRJk/Dx8WHq1KlER0drmpqlI17Heh15pd0rrD69msDPA3nu++c4FnlM01gSyd1GGvpKSmkSsSSlIzVNxZRpQ/5up4oCpkwbVFXFIduZk6ubkhjhiMmkkhjhyMnVTXHIcebRRytm3nmp0gtFB4fcrnhpaeLCjxgh5HXnzxea+laiKAo9e/Zk7969HD58mJ49e/Lxxx/j4+PDG2+8QUhIiKap+br7svDJhYS8FcI73d5hz5U9DP5hMGZVlsFIKi8yGa8SI/vEV0xTlxZtc4g0xVLnqVMo+tz/H6pJ4eaW1rhm1sTRKxWXZlFEnqlBZrIN9q451GuZQMq5usx5z7pEt/I8tyqhk28tqgrbtsHMmUJi198fLlwAjUl2Fi5cuMCnn37KqlWrMJvNDB48mClTptCqVSvNYyVnJXMt4RptvNqQnpPOwO8G8q/2/6J/YH90SlW5wJLqgmxqI6lyVJSxGjQ8m9+D48k0mnFuGY6tRzrZ8Y6knmmAvY0Om2R36vW6VKqs+7txbtVyofjHH3DtGvzf/4kFwCefwLBhUL++5qEiIiKYM2cOX3zxBWlpafTt25egoCAeeOCBEk3tbPRZ+n/bn8vxl2lasymTH5jMsNbDsNVX4uiJpFohDb2kylFRJWI7dsCEj+ML9dh1qc7U7X8SB487M7kz4u3I/L01f+y1K/YYVab8rbJy4gR07ChWLcOHw+TJ0KSJ5mHi4+NZuHAh8+bNIy4ujm7duhEUFMQTTzzxz968tZjMJn449wMz/pjB8RvHqe9Sn6OjjuLl7KV5XhKJVmR5XTWiUimelSNaS8TK6rr07g2P3+dK6vm6NOwQR9vnQmjYIY7U83Xp09WVlq0odaJblSp/q6y0bQuXL8OoUbBmDQQGwnPPQUyMpmE8PDx4//33CQ0NZf78+YSFhdG3b1/atGnD2rVrMRqNVo+l1+l5vsXzHBt1jF3DdjGw2UDqONUBYNvFbcSmx2qam0RSFkhDX8WodIpn5YiWErGyvC46HcyeaeCzdz3wTW5K5u+t8U1uymfvejBrhoEXh5Q+0a1Klb9VZnx9hdhOaKjI2L94EdzcxGsREZpK85ycnBg7diyXL19m1apVmEwmXnjhBRo3bsyiRYvIyMiweixFUejl34t5feahKArJWck8v+F5vOd489aOtwhLCtN4ohJJyZGGvopxL0njaikRK+vrUpRQTVlURGg5t3slglMqateG//1PhPNtbSErCzp3Fo8ffgCTyeqhbGxs+L//+z9Onz7Npk2b8PLyYsyYMfj4+PDxxx+TmJioeXqudq4c/ddRBrUcxKKji/Cf78+IjSMISQzRPJZEohVp6KsY1TXkW5Axa+5vS+IJ6zznu3ldivP4rUl0s7b87V6K4JQJlj11RYEPP4TERHj2WWjeXIjwaFDI0+l09OvXjz///JP9+/fTsWNH3nvvPby9vZkyZQpRUVGaptbMsxlfP/01V968wphOY/jx3I9kGcV8MnKsjxZIJFqRyXhVjG6PZmH/4KlSJYJVNorKQHfIcSbdkIp726Iz06vadbE2614m7ZUSk0l49DNmwPHjIvRTChGKkydPMnPmTL799lsMBgMvvvgikyZNIiAgQPNYqdmpONs6AzDwu4HEpccR1C2I3v69NScBSiQgk/GqDVVS8awYigq7Z9ik8kLv4j3nu3ldyiKUbm1UoLpGcO4aej08/7zomLd/Pzz2mHj+o4/g/fc1J+5ZEvQuXrzIyy+/zMqVK2natCmDBg3i+PHjmsayGHlVVenu050rCVfos6YP7b5sx/oz6zGarU8ClEiKQhr6KkaVVjwrhOKM2dlL2cU2dblb16Wsk/6Ka1gjk/bKCEWBhx7KDe1fvCj29H184M03RTKfBvz9/Vm0aBEhISFMnjyZnTt30r59ex5//HF+/fVXTW1yFUXhzS5vcuXNKyzvt5xMYyZDfhjCrD9naZqTRFIY0tBXMaqjNG5ZGLO7dV3udjJkdYzgVApWroTgYBg8GBYvFmp7ixdrHsbLy4vp06cTFhbGjBkzOHHiBI888ghdu3Zl48aNmDWs/Gz1toxsN5LgMcH8+PyPvNTuJQD2XNnDzD9mkpR5p0CTRGIN0tBXMcoiEayyURbGrLDrMivIg57dDQwdWTYZ69aE0ssyS76wSIUpWyFiny9RUchM/JLSrBksXw5Xr8LYsdC1q3j+0iU4eFDTUG5ubkyZMoWQkBC++OILYmJiGDBgAC1btmTFihVkZ1u/xaJTdAxoNoDaTrUB2H1lN0E/B+E915t3f36Xm6k3Nc1NIpHJeJIKp7wSzspDZra4pL+M31rTub2+zI5Z0Dmkxthzeasfeuds/B6JwLkq69hXRkaNgqVLRaj/nXdEuEhjcpzRaGTDhg3MmDGDkydP0rBhQyZOnMgrr7yCk5OT5in9HfU3Mw/M5Puz32Ort+W9B9/j/e7vax5HUr2RyXiSSkt5hd3LIsye3zsPD1eJDrWnoOVxWqw9BkVX5vX8+SMVducDcfbMpsPL5/DUeAxZk28Fn30Gc+YIT79PH2jXDn78UdMQBoOBwYMHc/z4cXbs2EGjRo0YN24c3t7e/Oc//yEuLk7TeO3rtufbZ7/lwhsXGNFmxD/efqYxk1M3T2kaS3LvIT16SaWgPBqwDB6RTajrhRI3nynImw4/VouIYBf8+p/H2wcsfp4l+lDb3pmspiU/ZnmeV7XqaHc3yM6GtWtF17w+fcQCQFVFLb59wVtNRXHw4EFmzJjB5s2bcXR0ZNSoUUyYMIGGDRuWeIpLjy1l1NZRPNH4CYIeCKKbdzdZmncPIz16SaXGmgx0rZQ2ya+giEBAzwg8fdO5tjGQsON3Rh9yTOWfJV/S8yrPRMJqGSmwtYUXX4SzZ+G//xXP/fKLkN2dOROStCXHde3alU2bNnHmzBmeffZZFixYgL+/Py+99BLnz58v0RSfbf4sH/X4iCMRR3hoxUN0+7obWy5s0ZT1L6n+SEMvKTWV9SZf2iS/ghLvFB00fyqMBs1TSP6z8R1JfxERKudO2HH1mpmkJG4L8ZdVlnxJz6u8avKrvXqfTgeWfXV3d2jTBoKCwNtb7OHfuKFpuBYtWrBy5UquXLnCa6+9xvr162nevDnPPPMMhw8f1jRWDYcavPvgu4SOC+XzPp8TkRzBf/b/55/XpcGXgDT0klJSmW/ypa2tD49QcayVSVISXL1m5vxFM1evmUlOgXodYmnQQOGPvXas+dqWPfuMTJoZj32TKNIve5JFNuE3jISHq6gajgnFL5xKel7lVZN/L/VfoEMHccLHjokQ1MyZIlu/BH/oPj4+zJs3j9DQUKZOncqvv/5Kly5d6NmzJ3v27NFkpB1sHBjTeQyXxl7ix0E/oigKcelxtFrcis8Pf056Trrm+UmqD9LQSzSR3wg90iuHn35Nxrccb/IljRiUNsmvQT2FkHN2XI8ykhDqTPQfvoRsacrxb/0I/qUW9esKQ5vX0AX0jMDDK4f4X5qTk+hI/A0DYcetP6Y1C6eSnld51eTfk+p97dvDt9/ChQvwxRfC6zcaRZneyZOahvL09GTatGmEhoYye/Zszp8/T69evejYsSPff/89Ji0NefQ2eLt5AxCTHoO7vTtjd4zFZ64P//vtfyRkJGiam6R6IJPxJFZTUDLXyQ2+GPwjqNM0hQYNFPKairJIPittAllpkvymTYNPVsZiWyeJnGQ7nFqFY1MjjZwEJ5IO+tPepwa/7xM1+nmT41QzxJx3J+KkByk3Hahh48AXc+2tOqa1pYZFnReIxcfK9dmER6g0qK8wYrAtZjNMmln2ZYxVrc9AuXHihCjJS0kRyXtBQfDgg5pL87KyslizZg0zZ87k4sWLBAQEMHnyZIYPH46dnfbr+EfYH8z4YwbbLm3DxdaFK29ewdPJU/M4kspPYcl40tBLrKYgI3Twy6a4PXIWVYUGXoZ/WoFD2dzkK7Kpy6Dh2ew5mEqmyUStp46jszWhmnSYM2zArCN9fyvWzK3J/2blGjph5GsQcbIGmck22Nib8DDW5PTfNlYlFpZHpYBlYdS7iyuqCrsPl23WfWnnXK1ITBQKe3PnQnS0COv/9BPUqaN5KJPJxMaNG5k+fTrHjh2jbt26jB8/ntGjR+Pq6qp5vFM3T7Hnyh4m3j8REBn7D/k8RNNaTTWPJamcyKx7SakpKERr75pDToIjeocc4uJvj6WXRfLZynXZGAIiCLlu+mePPCkJFIOKa+sIps/KKbckwIhIFTvXbNw7hqIYDZhS7CHLBjsnE44eWdg3E2FpS0hcNcO5rd5cOlgDXaNw3HucRecfzs3MZKvzFcqjUsCylbLrr2R69Sh7VcXq2H+hxLi7iwS9kBBYuBBq1ADPW97ziROQk2P1UHq9noEDB3LkyBH27t1L8+bNmTx5Mj4+PkydOpXo6GhNU2tdp/U/Rj4xM5EJuyfQbGEznv3uWY5GSseoOlPhhl5RlMcVRbmgKMplRVGCCnjdTlGUb2+9/peiKL4VME0JBRuh+m0SSD3TAEVRyc5zDyuLm7zZDH8cNJNoSiVbn4XOOYNsfRbhN4xcv64SedKDk6HJ5ZYE2KC+QnqiHY5eqTh6ZOPsmYWjRzY2DibMRh1ONTO4HqH+Y+hunq1BQoyB2k+cxskvHoNrJnaeqQQOPm91vkJ5VApA7n75N99ml3kZY3Xsv1BqHBzg9ddh2zZxcVNS4JFHICAA5s+HdOuT4xRFoWfPnuzdu5fDhw/Ts2dPPv74Y3x8fHjjjTcICQnRPD13e3cuj73MO93eYe/VvXRa2onHvnmM87ElK/OTVG4q1NAriqIHFgJ9gObAEEVRmud728tAgqqqAcAcYObdnaXEQkFGyDMwgRqeRm5ubU1OlHuZ3uR37YLUTCOqSY/B3oTOoGKwN2HrnsnNc24kxuqp90RwuSUBjhhsC1k2JJ6uS9S25lz/rh1R25qTcqkWxnQb7M2ONKyv/GPoLu3wwaFpJKoKxkw92Yn2uDrpca9pfVJaWVQK3O1ud9Wx/0KZ4+wMq1eLkry33hJd8/77X0jQlhzXqVMnNmzYwLlz53jhhRdYsmQJAQEBDBs2jNOnT2saq45zHT7q+RFh48OY+ehMLsVdwtVObAlEp0VjVqt6XaTEQoXu0SuK0hX4UFXV3rd+fwdAVdXped6z69Z7DiqKYgBuAJ5qEROXe/TlQ2H75aZshTNft6ZRPTuM5rJRtQOx93siIYLoMDtqP3EaRZ97zIjNLbBrGEez+1JvywsA6/eyC0pY6907d85GIwS2yiEiIxHXLlexrZlKTrwzqaca4OBqopaNM3Pey02Oa905i+y2J1AdsrC1gZoeOlzdhHqetfkKpU0+tOyX1wxIui1XwN41B+daWbR1r8/6VfdQKL0y8scfMGOG8Pb/+gs6dxaKeyVQtIuIiOCzzz7jyy+/JC0tjb59+xIUFMQDDzygeSyzakaniD+uHit7EJkSyeQHJjOs9TBs9fJvpipQWffo6wPX8/wefuu5At+jqqoRSAJq5h9IUZRRiqIcVRTlaExMTDlN996msBBtyKZmPPuEA7/sLLtwMAjvtH67WGp4Gone3oq0ax7kJNmTds2DrEh3bF2zcHW783PFea7W1v7v2QO2nin4PnUBW/cMFFsTDvUT8ex1jsxYR5p5uf0TsdDpoGULhZoOjgQ20dHIT4ebW65Ebmm78FnrHY8YbEviifoEb7k9V0BpFE5EsAvZmbqqL2BT1enWDbZuhcuXhZEHGDMGXnlFlOtpoH79+syePZuwsDCmTZvGwYMH6datGw8++CDbtm3TVItvMfKqqvJqx1dxtHHk5c0v02heI+YcnENqdqqmuUkqDxVt6MsMVVWXqKraUVXVjp6esnSkPLjbIdoG9RXS4+1p1jeMxl3jMV9tQOIvLTBfbYCDqxGbbAcKMp3FGVVrBV4s+93+TcCvoQEXnT2GbAccdbb4PRSFrYPptnMuKuyeeKI+zQNsrUocLI0ccO/e0LS2GzEhjnj0CMahYQKKXQ427un49T/P+RuVW8Cmsqoslgv+/uKnqgrt/DVrROvcZ58FjRFJDw8P3n//fUJDQ5k/fz5hYWH07duXNm3asGbNGoxGo9VjKYrC8y2e59ioY+watosmNZswYfcElh5bqmlOksqDDN1LKi1Fldad/qo1OoccWgzVXnZnbTmY1vrwwsLuiSfq42h0JsMmtchwvDXbCdYweHg2wYYLmNwTyM7htm2EuEpc7nbPN925eVMk6i1cKHT058yBceNKNFROTg7r1q1j5syZBAcH4+vry6RJkxg5ciQODg6ax/sr/C+aezbHxc6F9WfWc/D6QSbeP/EfcR5J5aCyhu6PAI0VRfFTFMUWGAxszveezcCIW/9+FvilKCMvqTjK2hsrKpt7YB8H+ncvWaa3tQlrWjPgC4t4DO3lQYZNapERhLKUEg6PVKntk0kjP90d2wjllZBXFtxTUroFUacOfPQRhIXBJ59Av37i+WPH4IcfQItCno0Nw4cP5/Tp02zatAkvLy/GjBmDj48PH3/8MYmJiZqm1qVBF1zsXAA4H3ueRUcX4T/fnxc3vkhwTLCmsSR3nwoXzFEU5QlgLqAHlquq+pGiKNOAo6qqblYUxR74BmgHxAODVVW9WtSY0qO/+5SXN1acAlxJVO+s9ejLSqzHmuMNH2xbZsJAVVXApqrOu9wZNQqWLoUmTWDyZBg2DDQq5Kmqyu+//86MGTPYsWMHLi4uvPbaa4wbN466detqnlJYUhifHfyMpX8vJT0nnbe7vs2nvT7VPI6kbJHKeJJyJb9RVIHkJIiNUYnc3pw2Pq4ETbTRHIa2UFZh7YLm+s8xCpCZLWzxEujlio29mYjI4udizRZAg/pKmRm5ilQTLA1SSrcQTCb48UeYPh2OH4f69eHf/4Z//atEw504cYKZM2fy3XffYTAYePHFF5k0aRIBAQGax4pNj+Xzw5/Tuk5rnmn2DEmZSRwMP0hv/94oJagikJSOyhq6l1QT8gq1qEB4uEr4DSM5tpm4dLxK8M3EEovZlHWHvIK2BGIuuHH6q9aoyU7891Ox7bBrF3w6/fZQvE9SU5rWduNcVDJhbtbNxZotgLKsf6+qAjbl1XSnyqPXw3PPiRD+7t3QtGlua1yTCWJjNQ3Xtm1b1q1bx8WLF3nppZdYuXIlTZs2ZdCgQfz999+axqrlWIsPH/6QZ5o9A8CKEyvos6YP7b5sx/oz6zGarU8ClJQf0tBLyoS8hio5CZLThLCNwd6EnWcaqkqJ91rLeu82/156xm+tSfy9KTqHHNwevIjDQ7nGe/K7Rnr1ys2AHzHElgvRSTR6xvq5WCOCk1dGNzq4BsfXNeLgl005vq4R4cdq0aCe9UZOpxMLlCGPeRC1pzFHv2xJ1J7GDHnMg08+rrwJbVJKtxgUBR57DH7+Gd59Vzz344+5IjyhoZqG8/f3Z/HixYSEhDB58mR27txJhw4d6N27N/v27StRL/vXOr3G109/TZYpiyE/DKHp50354ugXJRpLUnZU0v/ykqpGXm8sLt6M3iHnH/2P7HhH7F1zSty2tDzaoOYtYZv6th06t1RaDD2HZzHGuyRzscbDLsv6d7MZJr1jZN2eeOo+domOo89Q97FLrNsjFi6VtVStqkYiKgS9Xvxs2xYGD4ZFi4S87ogRcPaspqG8vLyYPn06YWFhfPzxx5w4cYIePXrQtWtXNm7ciFnDH4yt3pYX277I2dfP8tOgn6jlWIsfz/34Txg/21QNWxZXAaShl5QJeb2x7BzQGcTNQTUppJ5pQP028UDJsr7LW9ZVi/EuyVzyRhB8kppyY0trovY0RklxJuKGmV27hKNmTf27NZUNVTV7XUrploDGjWH5crh6Fd54AzZsgGeeEbX5GnFzc+Odd94hJCSExYsXEx0dzYABA2jRogUrVqwgO9t6I61TdPQP7M+hlw/x/XPfA3A96Tr1P6vPO3vf4UbqDc3zk5Qc+V9HUibk9cZyotzJinck7ZoH0dtbUaO2Ec/ARKBke60l3bu1ttxPi/Eu6Vx0OujVC+rW0WF2TKPuY5eo2/8kYW65WwR2jib8HorCDlvMqQ7Ymuxo4GXA2wfc2kSwYm22VbkK5REBuVuURizonqZhQ1F3HxYGa9eKMH9aGvTvDzt3ajL8Dg4OvPrqq1y8eJG1a9dia2vLyJEjCQgIYN68eaSlpVk9lqIouNkL+Uqj2cgjvo8w88BMfOf68vq217maUGQBlaSMkP99JGXC7d5YILGb2mO63IDGXeNp9mQYiq7ke60l2bvVksCnxXiXZh+5OE/77Lmi69/PBKtWeeoV0dhGUkmoWRM6dBD/vnRJJPD16QPt2sH69aKBg5UYDAaGDBnCiRMn2L59O35+fowbNw5vb2/+85//EBcXp2lqfjX8+O6577jwxgWGtxnOV8e/ovnC5sRnxGsaR6IdaeglZYbFG/tlpy3/+j873Gzt0RlUMhNLt9dakr1bLeFrLca7NPvIxXnaqalqkQuO1FTVKk9dZq9LALF/f+UKfP01ZGXBkCEiY19jLxBFUejTpw/79+/nwIEDdOvWjQ8//BBvb2/Gjx/P9evXix8kD41rNmbJU0u49tY1vn76azwcPAD4975/81vobzJxrxyQdfSScqEooZuyFs4paDwt4itaxX5Kem7F1YlH/dQW1TWl0Pp3JcWZuv1PFltnXlXr6CXliNkMmzeLP9xFi8Rzu3bBffdxR/tHKzh79iwzZ85k7dq16HQ6hg0bxuTJkwkMDCzR9OLS42i2sBkx6THc3/B+gh4I4skmT/7TaEdiHVIwR3JPURKd+rJcmOQd1yL088uvZhw7XcS7bfI/7WstxF50wyepKXXr6ApdcETcMBPmVvzi5Z7XjJcUT2Ii1K0Ltrbw+uuiPM/LS/MwoaGhzJ49m2XLlpGZmUn//v0JCgqis6UrnwbSc9L5+vjXfPrnp4QmhdLCswVrB66ldZ3Wmse6V5GGXnJPURnkVPMb3IwEO6797YpH9wu4uepo0EBB4XZPu1evwhccu3bBhI/jcW4WRdSZ3D7zdVsmkHquLnPey/XUtS5c7lAerKfQPMCWs5ezrVL/k1RB/v4bZs6E778XBn/kSHjvPWjQQPNQMTExLFiwgAULFpCYmMgjjzxCUFAQjz32mGaFvBxTDt+e/ZZFRxax/YXtuNu7czHuIg1cG+Bo46h5bvcS0tBL7ikqQ/j6DllgM5zb6k1CtAE7v2gaBuSgz7rd04bCpX7NZujSLZuLscm4dgjBrmYaWXFOJB/zpYmnK3/9bovBoH2e+RckjrUyCTlnR/TRerjUMNLsieukx8uIQLXl0iX49FP45hs4cULs42dnC+OvkZSUFJYsWcJnn31GZGQk7du3JygoiGeeeQa9pfZfI6qq0n5Je8KTw3mry1uM6TSGGg41SjRWdUcaesk9RWUIXxcUVVDNEHPenat/1EGX4kyP7vrbmvQUNeee3Q1MmhmPfddzxCeaMJrAoAcPdz2ZB0u+eMm/IElKgvAbRmxcsojZ0YrGXeOp3TxR7vFXdxITwd1d/HvgQMjIgKAgePBB0OiVZ2VlsXr1aj755BMuXrxIQEAAkydPZvjw4dhpbMgD8EfYH8z4YwbbLm3D2daZ0R1GM/6+8dR3ra95rOqMNPSSe47y2ne3Fq15AsVFITxtXAj3PIdaKx69Qw46gxmzUYcpwwYl1oNOtoGsX6XdC8u/ILl6zUy2PguDvYm0ax6Yrzag3RBR73xPd5G7V1BVEdL/7DORod+1qzD4fftq/o9jMpnYuHEj06dP59ixY9StW5fx48czevRoXF1dNU/t1M1TfHLgE9afWc+Sp5bwUruXNI9RnZFNbST3HKUVX7FWcKcwtJa5FVd+dyrYRI5d2j89BHQGFYO96CmQY5fGmeCSLdrz193nVTa09UgnM9nmn9dkHf49gKIIwx4aCgsXQlQUPP00zJ2reSi9Xs/AgQM5cuQIe/bsoXnz5kyePBkfHx+mTp1KdHS0pvFa12nN6mdWc2nsJYa1HgbA/L/m89z3z3Es8pjm+d0rSEMvkeTDbIZt26B5+yyeG5nGz38nkeoVSoiLto55WsV1ihO6ycpRMWXa3BFFVRQwZdqQmloyA5x/QWJrA2ajuDVY+hRYkHX49xAODiIj/9IlWLMGhgnDyt69sGABpKdbPZSiKDz66KPs3buXw4cP07NnTz7++GN8fHx44403CAkJ0TQ1vxp+2OpvlceqZvZc2UPHpR157JvH+OXaL7IWPx/S0EskebDs7Y/5MJ4k33PUee4IDm2uEXbGmZiLbvg+bb1evFZxneIiAHYGHenB9VFNtxta1aSQHlwfJ4fc/85aohH5FyQ1PcR2gNl4e58C2UXuHsVggKFDoXZt8fvGjfDmm+DjA//7HyQkaBquU6dObNiwgXPnzjF06FCWLFlCQEAAw4YN4/Tp05qnN+6+cYSND2PmozM5E32Gnqt6Mmb7GM3jVGfkHr1EkgfLPjntzpJjK0LkIIxp9HaRmKYzqFbvU2vJEyhuj76WjQuXk+LINJpxbhmOrUc62fGOpJ5pgL2NjoeaebB+lfY6epl1L9HMH3/AjBki9OXsDB98AJMmlWio8PBw5syZw5dffklaWhpPPvkk77zzDg888IDmsTKNmaw6uYqmNZvS3bc7USlR7Li8g2Gth/0TAajOyGQ8icQKLIlpsSSgc864zeBaEtMCe0eQ+XtrftttV2gpXEnV/4rLun97RjwuzaKIzFNHX69lAil56uhLUlqYf0HSoJ5Cyya2nLmYTXjk3U9klFQRTp2CTz6Bbt3g1VchM1M01mnSRPNQ8fHxLFy4kHnz5hEXF0e3bt0ICgriiSee0FyLb+Gzg58xcfdE6rvUZ0LXCYzqMApnW+cSjVUVkIZeIrECS6Z8VFLGP5nnFnKS7En8pQWNH7lRpIpdoJcrNvbmEgnNFBUBAOs89cogFiS5R1myRBj8Z54RCX0d77A5xZKWlsZXX33FrFmzuH79Oq1atWLKlCkMGjQIg0ahCFVV2X1lNzMOzODXkF+pYV+Dt7q8xQfdPyjx4qEyIw29RGIFFiNpUyeJ8BtGbN0z/0l+S7vmgelyA9xs7RnymAfr9uQRwwGSkyAsTCV6dyAuDVLwuS8OXZY9yWUY8rZmK0BrWZ9EUmZER8P8+fD555CUBD17CoPfs6fmWvycnBzWrVvHzJkzCQ4OxtfXl0mTJjFy5EgcHBw0T+1Q+CFmHpiJvcGedQPXARCbHkstx1qax6qslNrQK4pio6pqTr7naqmqGltGcywzpKGXWLhD2rUYD9sS9vYdcI7IG2aS00zoHXJQFJWbW1vjpnPi2SccbtOdV4HwcJWEJDMmzBgTHck4X4+a3a7g6qSnnpeOkCKEZrTOsThK49GX9Vwk9yjJyfDll6IWv0EDOHxYs6G3YDab2bp1K9OnT+fQoUN4enoybtw4Xn/9ddwtAj8aMJqNGHQGzkafpd2X7RjSagiT759Mi9otSjS/ykSJ6+gVRXlEUZRwIEpRlN2KovjmedmK3GOJpGLQ0pPegiVTPuSnZtinu1PL3omca3WI/qkD9Ww8+OITF2bNMBARmVsKl5wEyWkmVL0JvWM2Nh6pmDJssXXPJDnNRGra7W1ki5tjiMsFRk9KoUX7LB7oWXTGfEHZ9c39bUk8YX1ZX2mul0RSIK6uIjnv2jX49lth5OPioEMH+Oor0TbXSnQ6Hf369ePPP/9k//79dOzYkffeew9vb28mT55MVFSUpqkZdCL87+HgwZhOY9gQvIGWi1vy9PqnOXj9oKaxqgrWrNE/AXqrqloLWALsURTlvluvVb9NDkm1QUtPegs6HcyeaeCzdz3wS26K7YnWdHUKZP2Cmpw9bssTT4j35C2Fi4s3o3fIQTUpKHozOQlOGJyyUBTQO+QQF28uVGgm/xzt3bOIueBGqj6FRN9z5LQr3NgWZpjX743H0ejM1R+tK+srzfWSSIrE3h4aNRL/jooSqnuvvAL+/sLbT0mxeihFUXjooYfYvn07x48f58knn2T27Nn4+voyevRoLl++rGlqdV3qMufxOYSOC+Xf3f/NH2F/0HNVTxIzEzWNUxUoNnSvKMpJVVXb5Pm9BfAjMAX4QFXV9uU7Re3I0L0EyjcpLW9m+8WrJnTOGWQm26AajCT83Bz31jdw9o/FbFQwpzpQixoFHi//HKODa3DpYA1qP3EaU44OW5Mdjfx0BWbMb9sGr01JweScQlaqyMCv3yaBmgGJhGxqxtBeHpy9VPBefkEh+htRkNn0Ap4yiU9SXqgq7NkjSvP27QMPDyHI4+FRouGuXLnCrFmz+Prrr8nJyeHZZ59lypQptG+v3SylZqdyNPIoD/s+jKqqvLT5JXr79+bZ5s/+EwWo7JRGAjdHUZR/GhWrqnoW6Al8CDQusxlKJGVMcUpzpZFyzSuGkxPlTla8IzkxrsRuaYetWxZOjUTqitmow0ZXeMg8/xwjTtbAuWU4il5FZzCTnSMa4cRedCcmwcSIVzMYPCKbbdtg4jvZJJnT0AeE497jLLpG4Vw6WIMLuxri2jqCs5eyC5T/LSwScPRUDsnGDAq6KlL6VlImKAr06gW//AKHDsHbb+ca+RUrhOyuBvz9/Vm8eDEhISFMnjyZnTt30qFDB3r37s2+ffs0KeQ52zrzsO/DgEjSO3j9IEN+GELg54F8efRLMo0F30uqAtYY+iCgTt4nVFUNB7oDM8pjUhKJFgpTgWtQT5vWvBbyhvh9kwOJ3dQeJawebm4q5lQH0kM8yE60J/WSJ+l/tig0ZJ5fDS8z2QZbDyEtajbqsDGI1raXDtbAvmUIDg8Lo/zalBSuJ6dQp+8pnPzisXHLxMkvntpPnCYh2kBWom2hhrmwEL2bbxIJUbYk3+nQS+lbSdnTpQu88474d1wcvPYaBATAiBFw9qymoby8vJg+fTphYWFMnz6dEydO0KNHD7p27crGjRsxa0ww8XTyJHhMMD8+/yM1HWvy6rZX8Z3ry4kbJzSNU1ko1tCrqrpXVdWTBTyfpKrqR5bfFUX5oawnJ5EUh9kMEyYbGT0phZ//TiL4eio//53E6EkpZKbpNWnNa8XSNOeXnbb86//scLO1x+eBm/i2SiHjpB83v++Ee0gzFv3Ho9DSuvzys/auOWTHO6KqYMqwQRdXk4QYA7WfOI19g0Scbhllk3MKji3CMeaTw1X0Ks4twwk/6VGoYS6seU6DdgmkX/QiNub256X0raTcqVkTLl6EN96ADRugZUvRSEfjvrubmxtBQUGEhISwePFiYmJiGDBgAC1atGDFihVkZ9+ZEFsYOkXHgGYDOPTyIX4Z/gsP+z5M05pNAVGqdzP1pqa5VSRlWTDTqAzHkkisYscOWL0hk1R9Cg5truHR+zQOba6Rqk/h92MZNK1tvdZ8SbktgS+lKU43fHm0vRsbVjhx9m+7fxL4CiK/Hn6tRqkk/e1NVpwDrk56Ei+LUD46FVOGDTU9xEBZqTbY10khJ9WG/NFJmxrpZMQ4FmqYC9vS8AxMwL2micjtzcv1ekkkBdKwIcyZI5T1PvwQjhwBR0fxWnw8d/yhF4GDgwOvvvoqFy5cYN26ddjZ2TFy5Ej8/f2ZO3cuqampVo+lKAqP+D3C+mfX42DjgFk1M+zHYfjM9eH1ba9zNeGqxhO9+5SZYI6iKH9XlsQ8mYx379D90RxORMZRt/9JFH3u37JqUoja2Ia2dWvyziSbQgVm7kbdeHHHyCuCExauEherkGmbitd9EVzcXQ/Xh4PR2ZhwddLToIGCAhxf1wjFJwLFJQODrfm2/vSplzxxD2nG2b/tCjyHopIUYy64YX8+kLr11WK1+SWScsVoFA11AB55RDTPCQqCZ5/Nfd5KVFVl586dzJgxg99++w0PDw/efPNN3njjDWrWrKl5ahfjLjLrz1msPLkSo9nIoBaDmPrQVJp7Ntc8VllS7sp40tBLKoLaPpnY3X8a54C4O15LvVyTrD9bER1a8D691uYvJaEkx8hr+H/+1Yxjp4t4t03G1S23njU6uAbn99ek/mOXqFlTIfS4G0mXPTCl26JkODDpVWemTi1aFKgwLfxZQR4oihTNkVQSVBVWroSZM+H8eVGuN3my2Mu3L/j/dlH8+eefzJw5k82bN+Po6MioUaOYMGECDRs21DxWZEokcw/NZfHRxXwz4Bv6B/bHaDaiV/QVIrF7Nwz9cVVV25XJYKVEGvp7h9q+GTj2PopD7bQ7XsuIdiJjV0duhhQsl1mS5i9aKegYKpAYp3BufSB17F3wrKWg6FRyTCoNG9xuVAuboylb4fCCNjjVyiaHbDKyVBybR6C3z8Emywm7yAZFLiQKW3z07uKKqsLuw+W3+JFISoTZDJs3w/TpQmlv3jzRLreEnD17lpkzZ7J27VoURWHYsGFMnjyZZs2aaR4rISMBN3s3dIqOf+/7N3uv7SXogSCebPIkOuXu/YcpTXld3kEcFEVpWsjLU0o0M4mkFDRvoifrpssd23eqClk3XWjWRF/oZwtLStMZCley00r+Y1jkciNjc7BrfY2wmExORMZxwTGYhCYnCcknjlNYT/uQTc34v+fsebmfB9mpNtR88DLu9dPxbWyi2QPJVosC+SY3JfP31vgmN+Wzdz149GEDuw9L0RxJJUSng/79RVneL7/AyJHi+W+/Fdn7N25oGq5FixasWrWKK1eu8Nprr/Htt9/SokULnnnmGQ4fPqxprBoONf4x6H41/IhIjqDf+n60Xtyab05+Q44pp5gRyherDb2iKE8BJ4Cdt35vqyjKZsvrqqrKW4DkrjPpLVvMl0TymjFTj9moYMzUkxXngPmyN5PHFZ4pXpo6+8JK+vJX8eQ/hkUu19Y9EzXTFrNtFnX7n8St5Q0y9enY1rndqBZllGfPNBB8JZvGj0XSrJlCIz8dbrfC+8UtViwVA/nr7L/5rvwXP4Vh7TWV3OMoitizd3ERv584IcL6vr6iRO/KFU3D+fj4MH/+fEJDQ5k6dSr79u2jS5cu9OjRg927d2uqxQd4se2LXBp7idUDVqMoCsM3Due1ba9pGqOs0eLRfwh0BhIBVFU9AfiV+YwkEg306QND+riiHm1FzrU6ZEW5k3OtDurRVgzt41pk6D1/DXteiqobL04T3mjMNVgXL6lcPm1HUpLw5i1yuYoCKRdq49JaiOPklcvNb1QLM8o6XdmLApWnyFBRSJ19SYmZPh0uXBB79suXQ5Mm8P77mofx9PRk2rRphIWFMWvWLC5cuEDv3r3p0KED3333HSaTqfhBbmGjt+GF1i9w6tVTbB2ylbGdxwJwKe4S/93/XxIyEjTPrzRoMfQ5qqrmT9OVUlmSCkWng88+MfDFfz3o6hRIg/C2dHUK5Iv/Co+3qP3k/DXsFoqrGy9OE/65waZ/DFa9B8NICK7N9QgT4eEq2TmgM5hRTQo58U7Y18kt87Eo4YH1RrWki5W7NZ61SJ19Salo3Fh0ywsJEWp7bduK55OSYP9+TaV5Li4uTJw4katXr7Js2TLS0tIYNGgQgYGBLF26lCwNDXkUReHJJk/SxkuoyO+8vJMPfv0A77nezP9rvoYTLB1aDP1ZRVGGAnpFURorirIA+LOc5iWRWE1RHm9RFLb/XVzdeFF7+4b/b+++49uszoaP/45kDe+Z4dgZTshw4tjOhBBCQgY242WVEQrF4YFSRvtCmwIB3j7lGSVQKLS09KG0NKQUkhRKCg8QMiCBsEkgeye2EzvLe8uSpfP+IVmRbXkPeVzfz8cfJN237vscSeHc9xnXdV4+m7+q8TZYiTPOEpdgp+zzsZw5GE5dhYXKY7GcfX8yllAnrupzeeFddQbMJvfjtjaqHb1Y6anjtVVPzJcQA0B8vLsb/3vfcz//y19g3jyYPds9ka8dXUMWi4U77riDffv28eabbxIZGcldd91FUlISTz/9NOXl5e0u3k/O/wk7797J1eOvZnDo4Ha/v6Pa09D/BJgE1AKvA2XAA91QJiF6REvj3y3NLm+pe9tmqEabHd4GSxkg+crjjL2wmLqjCZRuSKPq8wmcN7OECRn5VO1JRDuVNxJebIyhXY1qRy9Weup4bRWoIQPRz917L7zwgjtz3tVXw+TJ8Le/tesO32g08r3vfY9vvvmGjRs3MnHiRB566CFGjBjBY489xtmzZ9tVpNQhqfz9ur+zOGVxe2vTYW1aXqeUMgKbtNaXdH+ROk+W14nuVB9wJnZcGeVl7nF3uwPMJig+EgX5g5m+pGnozppiCzWfpDJzqpH1X5UTkZrPqZ0xlBYZCRl3muh4OxFBwZS3cymb77r75oLctCcwUFuO19W6M9OgENTVuWfnP/mk+66/fizINyhPO3zzzTc89dRTvPXWW947/6VLl5KUFNhpa51eR6+U+hC4zs84fa8jDb3oTvVr211p+6i0OUFpDEEag0Fz9r3JWE1GLrxvH42Xz9Y3WK+tMDeIhGdSBjBo6lwdb1Rbasih+XXzE4ZGYLK6yD8Z2MA4PRHTQAi0dkfYi4lxh9q94AL3TP377utQqtyDBw/y61//mldffRWXy8XixYt5+OGHmTx5cjcUvnVd0dC/DUwBNgLe6CRa645HLOgm0tCL7lRXBxNS7eRXlxExPQdTbCWOojAqvh1FkCsIp8HJpIVnGDL53Mza7mywGgfACYmxkf9dHKe/G0SYNYgxowxkn6ol5fZdGM3n1vMfz4Xsf00gcWIFCdMKAxoYp6NRCnsihLHopw4dgp/9DN57D0JD4Uc/cj9PSGj3ofLy8njuuef405/+RFVVFVdccQXLli3joosu6oaCN68rGvosf69rrVd2smxdThp60Z3WrYNbHijCOuk41Tmx1FVZCAqtJXxsAZUH4rFG2ag+Opj4qQWUnQymusSCspu45Pxg3lht7EhPoZe/hm3iGDOrNhYz+rr9KINm/7sjKCkIIjQlD2V04ioPpeLgYOIS7SRfcRxlcE9Gzjtdh6M0BH0skSk3uxNzBPIOur1DBj0RwlgMALt2wa9/DatXg8UC+fkQFdWhQxUXF/PCCy/wu9/9jqKiImbPns0jjzzC5Zdf3iMhcbs9BG5vIg39wBGIO7rFWXa2lh8gbMKpBhHv6mqMVByOo/SzsRjqTFgGVRGakkdobA1WVwh1RzrXADXXsB3aOAxLuIOptx6h4EA0h7+IZvDlu8GosVcbqS21EBRuo3jjJEZOL2HU9FKys13YjbXoWhOlH01i1o8Oes/TV8bEpbtfdKnsbNi6FW67zf38V79yz06d3qTdbFVVVRUvv/wyzzzzDCdOnGDy5Mk8/PDD3HTTTQR15kq/FZ0OgauUylZKHWv814kCxSilNiqlDnv+G+1nn3Sl1BdKqb1KqV1KqZs6ej7R/wQqyEpeviY0tgZXnQENOGqMVJ4OpqY8CGNsBdroxDikhOiFuxk0roxxaQ5GTun8mvDm1ppHz99HjU1TcCCK/J2etLZGjcOucWonGg1KEzo5j9zt0Q3W89uLQ7BGuBfva5c7WU7OF4NYt9HZ6yPTyZI80aWSks418gUF8MwzMGMGLFoEH37Yrpn6oaGh/N//+385evQoK1euxOl0cuuttzJ27Fj++Mc/UlNT002V8K899xXTgRmevznA88DfO3HuZcCHWuuxwIee541VA7dprScBmcBvlVJRnTin6EcCFWQlYZjCcXwwpz+YyPHXp3Jq3URq8qIwRlbjrDKDhvD0XCyxNZRXOSn3TF/tbAPUXMNmsboT2uTvjMFWbsIcU43LCU4XgMJo0rhsJkwxlWh7EOVVThTgrDVSuSeRhLRitAv2vzuCw19EYxiTx+DLW79ocrncw5tzFzoYPNLG4FE1zLvUznvv9czFgSzJE91m0CDIzXV36e/ZAwsXwsyZsH9/uw5jMpm47bbb2L17N2+//TZDhw7lvvvuY+TIkTzxxBOUlpZ2T/kbaXNDr7Uu8vnL11r/FriiE+e+Gqgf318JXOPnnIe01oc9j08CZ4FBnTin6EcCcUfncoG9xkDhsXBCJ+YTvWAvYZPysB2PpWzrOCp3J2Kw1mGMqsblOhfWtl7jBqg98d2ba9hiYwwYrQ5sZWasEQ7sxSHU1bnv4l01JixhDoxBYMuLcb/mMFKdF8WZd9KJiqtj0IRSCg5EU1IQxKDLdmMZVMnQUY4WL5pcLvjZQ3Vk3VfJjpNFWC7cTUjGNg6G7OPfHi5m6cPdH7Y2UFH8xAAREQEPPuju0n/pJfcdfXy8e9uxY2Bv+/9fDAYDV111FZ9//jlbtmxh2rRpPPbYYxw4cKCbCt/o/G3dUSk11edvulLqbqAzgw1DtNanPI9PA0NaOf9MwAy0L2OB6LcCcUe3fj0cPFNO0jUHMEVVYwyxY0koIWbBPuxnIjFgwBJXhaMsBIdDU+dyUVYOx7JdlJVBpU8D1N6hh+YatohIMNWGUlduJSyuloqdw3HUBFFXFoyuM2KrCMJRq6jam4C2B1Hy0UTs28exMD0aS20YRUciOf5NLMHjT+KosBARaiQi0n3s5i6a1q+Htz6owRVZTvw1Owk7r4jgwVVEppwmZM5u1m7p/rC1gYriJwYYqxV++EPYts09SU9ruPZaGD0ann0WKitbPUQ9pRRz585l3bp1HDx4kAsuuKD7yu2jPV33v/H5Ww5MBW5s6Q1KqU1KqT1+/q723U+7ZwQ2+39lpVQ88Cpwu9ba732CUuoupdQ2pdS2goKCdlRL9FWBuKOr70UYMRJMBgPYzTgrgnHVmoiYlovBWkf4+LNU7krEWadwusBgdmI31nIi30n25gR+cJO7AWrv0ENzDZuuU1hOJvLzH4WRHpVASHUMhe9MxZYXjcsFjpIQSj+ZgLPKjGlIOcETTxAbo3hjtZHnHnNHBaw5GUlouJPEoUEkJip8z1B/0eTb+5B1Tw0FBWAdfxKM5/7pKgVBYXYYmdftY+SBiuInBM88406es3QpjBgBv/wlFBa26xDjxo3rpsI11Z478ju01g0m3ymlWgwDpLVe2Nw2pdQZpVS81vqUpyH3G0dQKRUBvAc8prX+soVzvQS8BO5Z9y2VS/QPWYvNLF2eQMzo8iazrst2JpD1aNff0eXla0JH21BAcDDYjXXoEKitMmIeXE7V7hFYhpVgOBhH8YYUgscUEDK0ktpToe5u/cpzZXpllR1XVBk730jCVm7CGuEgIa2EuHEluKLKuPuBEBITlXclwaJFkPFRBOvXJvtdTvboo2AwmHnvPfi3n9qpzhlE9aGhGMNqCUs7gXVEIcXrUqk6OxxziJ1NmyxkZkJmptkdmS44hMjIpvGwqgqtjBymGq7Vn1dNxUfnoc212ErNWKPs3osDQ5ALwmo4kde9/wzrQxhnbIhh5aowTuzXjEpQZD3avVH8xACnlHuC3qJF8NVX7tj6//mf7jS5t98e6NL51Z519N9qrac2em271npah06s1NNAkdb6SaXUMiBGa/1Qo33MwDrgfz1zAtpEltcNDIFYR+0bqrV+Lbo5yoatzExVbjQ1B+OJOP8ojgoL1TuSMGoj5lAH1kgHCWnFYNQEHxrPkKHw9jsujLEVRE7LJXhoJY7iECp3J+KqDIZgG6FjC0hOr21Qp18/EcSmTS2vNV+cZScn4iBn6kpwaCfGEDvK6EI7DVQfGUztriQmXnmCpIpzS+haW6p286IYVm08t/1Ytou8j5IITs7HFFWNJdSJKdidxrPOZsSRPYRZoRN6/RI9IbrE/v0wZgyYzfCHP8A338BDD8GkST1ajOaW17V6R6+UmoA7mU2kUuo6n00RgP9+07Z5EviHUuoOIBfPMIBSajpwt9b6Ts9rFwOxSqklnvct0Vrv6MR5RT8RiDs6316EiEhNRIWR8lIrRnMdtYeGYay1UPDOFEITypmUeYrBE0q9oXA1cGyfmb27HCRaz2KKtxK1aDc4gnBqCEkqxjSonJP/SiM4oprqY7HsOOyeYBefcop1X8Clm2K8d+HNycvXhI22UVQIBpOTuloTTqfCYNSEDK1EH3UQNsjGiQPnGvSMDNjQQm/BnsMNJz7GxhgoGl5C1e5Eohfsw1EThCnYidZQV2mG3ESy/ksaeTFAJCefe1xRAW++6U6ec9VVsGwZzJoVuLLRhjt6z3j6NcBVwDs+myqA1VrrXpeqVu7oRXdpEm42zkZBrpWTnw/D6gjjotmK06fBNv4ggxolaCkrg8PbwjCcHuxu/EflEZRQhDK6qCsLxhLqxF5tpGjLeFw1JmJn5WCNq8ZeHELlnkSsJgMXJ8ew+m8tN6D1vQ7lphLsxlqCrE7vtqrsGFzHEhk+rahJUJyWItNdfGkt1jm7CI5x5+LWwIkTmtyPhlNXbSZ49FlCEyqoPROO68gIvn9ZBL95SiLTiQGqqMh9Z//881BcDA88AM891+2n7YoQuLO01l90ecm6gTT0oju1Fqq1uW7wo0c0+RvHMmFuIUe3DiFy/l4IrsHpcueip9ZMdXYsNTmxRM0+THi8zTvurZ2KM/+byrCgWPZ+13JDX3/+mPn7OVnowBxlQyn3Mc6+P5nzZpZQeSC+XZHj/GWX00BZCRzaMIzyffFEREDyOCMPPWAmM1PGyIWgqgr+8hdIS4N589zpcrdsgRtu6FDWvNZ0uOvex3dKqftwd+N7u+y11v/WBeUTos8wGGix+7y5bvCTHwwjKt7GoAml5O+MwVEcQkiSDaMTHC5w2I3UHo8ldOJJgiyuBjPfldEdFKdqZ5MAks2f/6Nk1LA8qiuqcNpMVO9LINiqqNgfz2Wz2jcr3d/ERwVEhCtiDVGsfD1Yws0K0VhoKNx//7nnK1fCI4/A//t/7hC7i3smJ317GvpXgQNABvCfwC1A+8IECTEA+Js7MHKYojLUwOkSF1/+eTxKK2yfjyF4eAnGII02GAiJgMo6CwZLnXdiWz2twWh1EBbW+pJB3/O/8noYe/ZqKis1w4INTE6GJd9v/xyG1sbwZSmbEG3w0EMwYQIsX97u5Xid0Z6u+++01lOUUru01qlKKROwVWvdMyv+20G67kVv4E24s8rOp1+4KKuqI2jkGcJTTmI7G0bFjuE4qyzEXnKQoBAH0cYwjm9MImTqMSzDiwkKdmAIcuGqM+CsMaEKY5hhntDqGH131sffkMXChbBxo6SKFaLNtHb/gzIau/SwXTFG/7XWeqZS6hPgXtzR7L7WWo/u0pJ2AWnoRaD5TtoLOi+fUmcl2mmk5NsEDFYHkRcfxKA0Bf87BcfZcIKDFZddaiRlnDvlbMz8/ZSUO7E7wGwCi8lI7tsTGBoczuRUur0hbWtWQEkVK0Tv0RVj9C95Msz9Avfs+zDg37uofEL0K75R73JOOLEYa1EmJ4bBxRRtSMGRH0PwqEIip+XgPDKcuFArt98Sw6WXQnG5e3y9flZ/zn4Lx7cNIzzawdDLd5JbbGXp8gQ2bu6ehrRJ4z3aRm6h/3P61rN+7D44ppaY0eV8sDaZSzd0XarYQKQkFqI/aE9Sm79orUu01h9rrUdrrQdrrV/szsIJ0Vf5JtypTwlbV6cxmFyETc7DdnQIVqsidEgNrlqTN558/fj6s4+6Q9Oe+d9Uij4bTfL8M0y99Qghcd2foa89oXl7KrFQoFISC9EftCepzRCl1MtKqXWe5xM9wW6E6Pfak2UOGibcMZvcy+e0BpTGFF1FXZUFwJsP3jcJT/2s/lUrzaRMUiRfk82QySXewDvQvRn6fBvv+hz1360azVcvj6OgxMnyZxzeejdOLKRxxws4lu3iVEU1H33s7JKc9oFKSSxEf9CeDq9XgPXAMM/zQ8ADXVweIXqdjtxN+ibciY3xTKZTgFY4SkIJCq1FO5U3H3xzSXhaytAXEmdj917d5ouPtqo/Z4Mc9aPziJq/F2tKDjtzy7319q2nBvLyNHmn67Aba3HWGnCFV3bJXXcgUhIL0V+0p6GP01r/A3ABaK3rAGfLbxGi7+vI3aRvprmISIgINeKqDKauykTlzuGYomo4+/5kogfXEXteWbNpVZvL0KeBnP0W8s44urwru/6c9TnqB1++m9CkYkyRNqyJpQy7fJ+33r71LC+D8ion5igbRpOLqv0JjL7oTJfcdQciJbEQ/UV7GvoqpVQsnnSySqkLgKaproToZzpyN+mbQrXoUCSxIVYibLGUvj8Ve34M+mwMI1MqGDSujJy3m0+r2lxq2tIixdltwxh3WW6Xd2XXnzPvu2jCUvJQnjS0WoOzxkTcIOWtt289j++IwOUwUp0T472IGTShtEvuugORkliI/qI9s+5/hnu2/Ril1GfAIOD6bimVEL1IfWpaf0LjbJzY724IG88KTximuHlRDHsPh5G3XxNjUEQnKQqjXVRVhWPfE8X4VM2SFpLwNBeo5tBG9yz8wZNKGux/rlENazHxjW9ZT+RpgpQBZdA4nO718eMGRbLxUwuD0o7iqlPetfwRoUYiIsHmdNfbNzjPbT8Koc5aRUhsLWNnFTPIJ6GP7+fUEYFISSxEf9GW7HUjtNbHtdbfKqXmAuNxR788qLV2dHsJhehCHVmilZigyC20ehO6+KoqtDIqQfldkna80MrujQlknB/B0MGw4Wv3tniftebDhka0GKWuuQx95cEw9PKdDSbo1WutUfUta0RqPqfsMZQWGQkZd5roeDvOoGDKcxKIDQ9DF0biMmvMJogdaiAi0v2Pv77e9WXMzIT58wzkRpxsEA+/8efUURKZT4iOa0vX/b98Hq/RWu/VWu+RRl70NR1dotVc97n3bvJmM+vWwdot5TBlL4WUcKqsBtOQMkZdu59/rqvhXx93bsa41p4xM9z/jYtVVBV1rCvbd86BdhqoqFDEX7OTyJTT2IzVmIe4y2aIrkQfTGLcaCOjkwxEehp533r7rkbYvVNxaOMwSooUvpcZvvt3VONlh7atqYwqH8+zj8ZIUB4hWtGWrnvf/2P0uih4QrRVR4O7tHY3uXAhpEyvpXbUcUxmG4YgF/Y6A3mnTYSHGCmrdOGqdfLVy+OwRjhISCth0ISSNnWzNxe85tS+BCrfTSImaSdGc/u6sn3nHOTvbDgObwx2UFRsIDLSwNAL8indOo7sFurtW7YhV9k4vWYM364YT/jkk0QOrcHqCqHuSNfcdbeWTEgI4V9bGnrdzGMh+pTWJ9X5b3Cb6z7P8oytr18PeafrGDKn1Jv73RDkxGB2kvPBBOzYCU/LwRpXias8lMNfJFJ4NJzkK4632s3e3MVJ9Ohytv8lmT0rUkm4JKddXdn1cw40UFVsIjy1CptNoxQYDC7snukIYXE2guLg//28+XrXl00ZNPvfHYHLaiM0oYKqI4Oo3mvFWGdi/gXB/PoJo9x1CxEgbWno05RS5bjv7IM9j/E811rriG4rnRBdqK2T6vxp6W5y5Wo7wYOqcZSEYI5yH18D5YdiqbMFEb1gL8YwO0ZrHYZwG1HDiinZlErBgSgMQbrFsevmLk6MQZqk+flYD44nvnx8k0a4pUY1MUGRU2ilsNpGncmOvTSE4KhqtFbYbQpjnbv89ePqLdW7vmxn97mX4g25YjfKqKmzGTE7LYwabuTA2mQ2beq6ULhCiPZp9Rpba23UWkdorcO11kGex/XPpZEXfUZ3LdHKy9ckpJVQuScR7XQfw+WEysNDCEvJA6XQtSZQGmV04VKakIl55H0X0+rYdUvrx8PibNS5NKtWmvl0k4VVK81kZrYe9z1rsZnTXyZQVu4ictIpqvYkoF0K0Lhqg7A7NAf3w6kvE/jBTW0rW+MhAEOQyxP6VwLaCBFo0pkmBoy2TKrriMQEhTWqluhBdZx9fzJV2THYii04ikMgyIVBQZBJU1cWjMse5L5dttooy4lstZu9Oy5OMjLAag+j+OPxKKMLY3AdBe9MoWLfMOqqzdSVhpC/bjyVBWY2bm5+kqJv2WzlJswx1d5trjoDZpP7sQS0ESKwpKEXA4ZvcJfCQ5HUFFsoPBRJ9trmA9b40zju/al8xemvEhiXeYKxs4pxHUukaGMKutaEsyQE0Lhc7saeWhPOimBqz0QxPdXU6ozx7rg4MRggNk4zemoZOjsRykNx1ZiwHRxG5ZdjqTk4jCCXiZk/2cn6r5pfFeBbNmuEA3txCHAusE5sjLtiEtBGiMBqT8AcIfq01ibVtWWymL9Z8JUFVirfTeLbFckkXZLP+Ix89m63UPzVSKr2DyN0wmlAUVdjwhgE5tA6ao4msOy35lbP2VXrxxvHD8jP10SMtJN+8zGys13YjbXeiYRV2TG4jiViNLc8SdG3bGFxZZzZORzz4HJc9iBvYJ3eHtBGUt+KgUAaejGgGAxw6aWgtdkdFS5f88oqO1q37X/uzS7RS9rJnhWpWA+O58wXmqqTDqKmHaOuLITiDSmETs7DFF1FVW4M1buHkzEjssVGunHkukHmcNTB8di66OLEuj2O7E/iIabMPZZucffP1yfaGTurGGh5kqLvhdMrr4extVpT+v4Uhl14kthBNooO9e6ANs0tXVy6PIGNmyNkfb7oN6ShFwNKZ//n3uwseLMm4ZIc4svHMzReETYrG1tIGWWVxdSeiaDqwDAqKi3gUsSoCP7xevPnaVLGixvexbe3AfJ3cXLegnzs1SPI/tcEIiefJGiwwlVloXJPojdGPTSM/NfcnW/9rHyXCzZssLByVTgntrb/gqSndTSughB9jTT0YkCp/5/7qKv3U3QkigPrE7CVm7CE2XjzfRML54Vz+eXNv7+tS/TCRtuIi1FElAVRZKkkNL4SswlCDcGYd0QS1MK/vK5ugPxdnCgDTPw/xzn6YQIl342j1OYkclRZgxj19d3uP1hmbtPFUV8LaNPRuApC9DW98DpbiO6zcrWdiNR8Dn4wvEGedeN5eZS5qlj6iL3FFK9tmQVfv48CIiNhdJKBCeMMjE4yYKxtfWJaV+deb26JnjJAwrRCzjtP8cMfWIg0WzEEaWylDScpat3+NL19gaS+FQOFNPRiQMnLdzdkjfOshyYVM+TKXZyqrmix4WrLLPjOzpTv6gaoLRcnLcWRf/Uf7gsPZXAHxvlu1Wi++NN4dr6RhCuqjFde7/ga+cYrGBZn2Vm3jhYvtrqKpL4VA4V03YsBJTFB8eG30YSlZXuDu9TTWhGVls/KVeHNdtm2dRZ8Z2bKtyVbXnP8jaVPHGNm16aWU7y21O2el68JGWVj/7sjKCkIIiwlj6iYauzFIZzZOZxPq93LB9s7Dh/oyXCS+lYMFNLQiwEla7GZd9eHEBFd3eD1+rXfg0fVcmJHy6Fw27JErzPL+Bo3QBooL4PCAs3JD4ZhHqlYt44mqwSaazh3bkwgpC6s2eQ0bbnw2PFdnLcXpP4CyRRpwzy4nNL3p7Bhg6XJvIHWlq4FejKcpL4VA4XSuv+NQ02fPl1v27Yt0MUQvZDLBROn1lI2aj9hYwswBLlw1Rlw1piICDVirY4iqXw8q1YG7m6uQb74tHzK62ooOWWm+tBQouKcxKcWU76r6Qz8detg6fLiBg0nuO9Qj72VzC0ZMew97F5SODxBkXVz2y481q2Dm++qJOzifSiXgYqDg6mrsmAMrSU4oZRBcYoUV8PPrMlFR1zTlQPfv91ObsRBv/nrCw9FMqoHvgf3SgFYuar9n4sQvY1SarvWenrj1+WOXgwoBgP85lcW7nt8BKaRFThsGrMJYocaCAtV5KwNfJetb6/Bk8+GsWeXg8hRZUyYW+idER87puldb0uT+KLS89l7OIxVK83eO+1XVtn572daDxKTkQGhliDK98TjqjMQlnoCU1Q19uJQqvcO50yOidNlLi5aWOs9lsvV+t16Z5IMdZW+tlJAiI6QO3ox4Pi726wssHJyyyhCg8zExMLwxN4RIW1xVut3va+tMLN+PWTdbaPOWkVIbK03573ylL2m2IJtayqfbLC0eqftr75zFzj47mQRsZfvAIM7pa0xSGEvtXB2XQoRCRVMXlTkPZYuDyVyziEGtVBuDQG/oxeiP2nujl46p8SAU3/HXD/LvOaTVEq3jscQ7CByziGCL95FbsRBli4v5ufLmk/q0hNam4F/PE+z9OE6li4vJmTGISLm7cMwOo/DX0Sz/70RaE/Z62eR+46Lt2epnDJqQsefxhIMVqvCYlFouxGX1kTMOAa11gbHOnG6Dpel5ZUD3ZVkSAjRkDT0YkCq77JdtdLM//u5BUNkJZO+v59BPbROvK3LylpbAhakDN6Ge0R6OQaTk5BRxQy+fDclZ4MoOBDVoOHs6Bp9h1MTHW/HXmqlzmbEVaeorQxCmeuwxlbjrDE1OFbwoGrO5li8r2mgrAyOZbvYv8NCXp57pv6lMzufZEgI0TJp6MWA19UBalpTP3SwdHkxuREHsc5pvgehtbteZdDeskdEQkSoEXupFafDQGhyPsc+HdKg4ezoGv3hiYqIoGAShwZhdlpwVQajXEbMVo2rIhRrhKPB/glpJZR6yq2BvDxN3uk6arFTfWQQweNO8eBTxSgFzyzzv35fJsMJ0TVkMp4Y8Hp6Ulh7lpW1tgTsq+1Ob8OtgMRERXlZEEXFBhwWF4aKMJ59Otg7i7ylNfqVBVYsGFic1XQ5XP2Sv6Rry4mMdLfAx7Jd1DqMVO1JZFhaMceyXdgdYDaBwVTL0OBwstcmE3RePqXOSrTTQtWeRGLiHYxZkI92nWT92mQyFsTIWLwQ3UiumcWA19MR0trTg9B4PkHju97hiQ3L7ht2Nz48hPlzjWRmnptQ6K+HQLvg1K5odrx2Ht9ml/Nl1QHs6bvI8fQyXL+4jhWv2ynLD+XLP00g97tIqostGEujOfNOOkZrHVVhhdiNtRjCaqjFTs7WeJLHGXlmWQzln4+l7NMJ6GPurHjJVxxHGbqvx0QI0ZDc0YsBr6cjpLW3B6GlJWDtLXvjHoKQGBv73xtOSX4wQUPKiL9qF1orCmtMRITaCJpZxsZ/TSBxYgUTbi3k5HdxHN+YRLE1iNkXGAiLN7LrJFjLQjAaq6k5FULlnkQGjarmwBkDBkMMiYmK8+YcadCLUB8EqKimmv0bnSzOsveKVQ5C9EfS0IsBr6cjpHUmxG1j7S1748h+u7Yq7LZywodVYUnOw2hxoXFHCiwoNKCMTsKmHaX42HDGLKrlvEX5jL7kJNlrk7n9lhhWvG6nJLqCimOJlO4wYY1weDPgFR2JZOWqMBKHKfblWnGW1Xi79l0uRbXNRfWZUGwOJx9+W8nn261876NgfvNU6+PzrUXdE0KcI+vohaBnI6S1FMEue20yzz7avtCvnSl7/Tr9w5uHEjV/L0GRNmylZpx17sbYGGxH15oo2pDCuOsPkpioUJxb534iX2Ods8vvRUv92v24yCA+3FnCkKt2YLQ4sVcHuWfsG1yUbp1A5PgCgsJtVO5OxFAWwd/+GNZiquC2RN2Txl4MRBIZT4gW9GSEtK7uQehM2euHEawRDuzFIWB2UOdQGMNsuMqtEOTCcSYEU6SN8ion5WVBREaeG2JorXfCYlAcPFvGoFHVFH80kbCUPBzaiaPMSk32ICyxVURMPolSEDKihFP/SuPXz1rIzDQ1e8ce6Bj5QvQ10tAL0cPamhinJ9Q31AlpJRz+PJFgcw2G8FowuFBGjbYbqdyVSPjEUxiCHRQVG4iMNHiHGG5rZY7AILMiKj2f2PPKKDgQRf7ORAr3RWEaVE54+nFCRhWhlHuoQhk1EWkn2PdZFEsfVs1mtTt52tXKZMYwCWkrhA9p6IUIgN4SY71+Mt+oq/dz/Os4ijZNInLWUUyxldjPhlPx7UjMQ8swjywEgwG77Vwj/oNl7pj2rvJQPn4qneBB1SSklWCNqvUm3alf/qcMMHhiKYMnlrLpV2lEzz2IOa4SnA2vaowRNhx1Ld+xG6pDGfp/AhsjX4i+JGANvVIqBlgDjAJygBu11iXN7BsB7AP+pbX+cU+VUYj+zjuM8HYyjlonOA1UfDfSPS1eg7MimKpyK47CcKxJBQSHaLJ3JpJxfgQbPqpjw9flRM3JJ8Ji42yOhZyvEogPCec3y81kZsL3b3c16doPi63FfjYCU0wVBp95h1pD7ZlwLGZavGM/tXEsVV00mVGIgSCQU1aWAR9qrccCH3qeN+e/gE96pFRCDCC+6/SNlWFEJp/FEOTEEleFwVpH9MK9DL76O0KTT1F9IJ6CzeMYPziSBXOD2PC1+6570LgyhoysZfLccmbfewAVWYnB4D62v3X7SRedoWZ/Ao6iUHAG4bAraioMVJwOpnLXcCxBBkJaiN4XajVKjHwh2iGQXfdXA/M8j1cCW4CHG++klJoGDAE+AJrMJhSiL+sNy8TqhxEumWskJ9xBbpGJsjNmYq/8DoOlDl1nQJlcxMZVUL39PLYfCKfkeUubxsn9TTw0mFxYHCHUfDoZ5/g8dEg1rioLtYeHER7roPSUnZz9FpJn19L43ryq0MrkVE38kJ5bDilEXxfIhn6I1vqU5/Fp3I15A0opA/Ab4FZgYQ+WTYhu12SZWKNJZz25TMzlgoljzGx8fRgOYy1haSfR9iDqak0og0ZphTWmFuPkPGp2JrH/UBCTZ7c+Tu5v4mFSguLf/2hm2zZ49s9mgiJsWCPtjL6kgEETSjmzN5oDHw0jfkIF0bFNJ/gt8Uxa7A2TGYXoC7q1oVdKbQKG+tn0mO8TrbVWSvmbQXMv8L7WOq9+Zm4L57oLuAtgxIgRHSuwED2otywTq7/g+ODLcixhDipzwwk9vwpDiB1cBnRtEEaLi6BgJ8RUU2k3oLRq8zh5cxMP/7bGTvI12U3y0Q+ZVEL+t7EcWD2BsYtO+r1j7y2TGYXoC7q1oddaN3sXrpQ6o5SK11qfUkrFA2f97DYLmKOUuhcIA8xKqUqtdZPxfK31S8BL4A6Y0zU1EKL7tB7zvmeWia1fDx98WU5Y8ikqdkeDNuA4HYXBoNEoLCF1WCIdKMBeHILR7CJ5uJGCnZ0LG9xcKGBlgOQrTnD6nTR3UB65YxeiUwLZdf8OkAU86fnv24130FrfUv9YKbUEmO6vkReiL+rprHnNeWWVnbIaO2e+jiYsJY+YQYWUHxqMOaEYg9GF0+mOhqedisrdiYRpKw//zMTGzZ0bJ28p2E51sZXUVCSrnRBdIJDXxk8Ci5RSh3GPvz8JoJSarpT6SwDLJUSP6Omsec3Zs0tRbdOEjD9F+b6hVBwYgqvSQvH6ydSciKa2KITKI7Gc+lcahrIIvndZMJmZLWfVa8tdt78Z+SCz54XoahLrXogA6eqY9x01cryN4qBiUC5CJ+dhiq7CURJKxXcjcRSFomtNREcrJo418tDPTA3S3naGxKwXomtJrHshepmezprXLKcRl4JB/2cXynPBERRpw5pYTMH/phPnjCP3cNffXfemUMDN6Q3LH4XoLLmjFyKAejJrXnNGTbBRk7KH4KQClEGD0qAV2qWoyR5E8J4Ucg74H2Loz6THQfQ1ckcvRC/UG5aJhYUqXKEOTEEKpxO0S6EUBAW5Xw8LG5ghZXvL8kchOkuuR4UY4FImKUy1oTgrrBh1EOYgA0YdhLPCiqk2lJSJA7Ohb335oz1AJROifaShF2KAy7rZjOVkIsPiTJidFlyVwZidFobFmbCcTGTJ9wfm7Pe8fE1oCzH3T+T3v2FP0T9JQy/EAOZyef7Kwtjz2gSqjkcRbQkm3BFN8UfJZJwfgdMJi7PsXLSwlsVZdtatc7+nv+styx+F6Cxp6IUYoOonmz34VDFRcw6SdH4hVQfj2ff3iZRtHcfTD8egNTz4VDG5EQexztlFbsRBli4v5ufL6rqlsXe53MsOe8OFhazzF/2FTMYTYoDyN9ks8fwC7zr+b7+1eFPR9sRktN6U5Ad60fJHITpJGnohBqjWJpu9/FoI8Yt6LhZ/b5vl3hfW+QvRFtLQCzFAtRZrv7Rcc15Lk9G6OBZ/b0ny0+DcvWD5oxCdJdekQgxQrU02i4ro2cloMstdiO4hDb0QA1Rrk83uuMXaocloHZ1QJ7Pchege0tALMUBlZEDG+RFkr02m8FAkNcUWCg9Fkr02mcwLInjkkZa3+5uMVj+hbuny9s/Ul1nuQnQPiXUvxADWWqz99sbi70xGPoktL0TnNBfrXhp6IUSXWZxlJzfiIHHjyppsKzwUyajy8axa2fydeW9I8iNEXyVJbYQQ3a61mfytzdSXWe5CdD25RhZCdBmZUCdE7yMNvRCiy8iEOiF6H+m6F6IfcLnckeVWrraTl69JTFBkLTaTkdGzY9sSNlaI3kcm4wnRx/mbrV5ZaOX0lwlY7WHExmmGJ/Zcwy8T6oQIDJmMJ0Q/1ThGvAYKq22o6cWc+ng8wfFl5EbYGySHqX9fd/QAdNeEut7SayFEXyN39EL0cY2XtJWVQd7pOsxRNqpzYnAdS2TKzce8a9mfWRbDxs19a726316LAisnt4wiNMhMTCw92mshRG8kd/RC9FONl7QVFbswBjtQCswx1ZTuMAHnksM89Ww4BfaKXpMlri2a9Fq4IPvTIVQaK3CMOkv4eQ5yawOX0laI3kz+KQjRxzVe0mZ3gCHIHWvWXhyCNcLh3RYaZ2P/YWcrWeLsPVPwdmic2a7gQDQlBUEMvmI3YWMLqHLVEDeujKRr9/PBl+Vs2BDgAgvRi0hDL0Qf13hJm9kErjoD2qmo3JNIQlqxd9+qQitKBTZLXEeS3jTObJe/M5qwlDyUUWMIcmH3XMv05osVIQJFGnoh+rjGyWlCDcFUHh7E2fcmEz24jkETSoFza9mTxxmbBLXRuMf2j+y2cOiwbnPGufbqaNKbxr0WtnIT5phqT70MmE3n9pWUtkI0JA29EH2cwQC/eSqIZx+NYVT5eMw7UonMSSbMGc6gcWXYShtmnXvw/oY9ABrIy9OcyHdSsm8wCXNy25xxrr18x9rjxpURHFPbpi73xr0W1ggH9uIQtAZnjYnYmHP/K5MIfEI0JJPxhOgHGi9pc69lt7By1XhOHNCMSlBkPWr2BqzZtOVcUBunxcaZIyZqswcTl2gnYUYBykC3TM5rPNbuLb+3yz3M77K8xoF44kZXkv3tCIzhNURGGIiIdO/njcD3qETgE6KeLK8TYgDyDWrz0cdOXOGVjL7oDIMmlKJ8+vnaknGuPS5aWIt1zi6CY2qbbKsptmDbmsqnmyytlvl4nqaoUGEzVzL0gnzC+sASQSG6myyvE0J4+fYAuBvfHL+Nb1syzrVHYoIit9Dq91xVhVZGtdDl7r/XIoaVq8I4sb9hr4U08kKcIw29EANcZxrf9spabGbp8gRiRpc36L7vSJe7pLQVom3kuleIAa4nM841XiFQXWjh8MYEPns2jfJTIbzyevfM9hdiIJMxeiEGOH/hZbtzvLt+rP2V1+1s/UxTa6pk2IUnGTTSRrWMswvRYTJGL4Twq355XkYPjXfXd7lrbWZXTjFJ1x7wduOH9PJQvEL0RdLQCyE6Pd7dWmY5f9tPn4KIDiy1E0K0jzT0Qogm2pMStknX/2gbuYXnEsz8+okgHnyk6fbd60czYkwNcUDj6X5dPdtfiIFMGnohRAOtNdyNx84bZ5aDhtnwopfH+N0eOaqMklNmyhPsREY2LENXz/YXYiCTqS5CiAbaG6a2tWh3L79m87s9cUoJ1YeGUljQ8PXumO0vxEAmDb0QooHWw9Q2zAzXOLOcr9A4G6Xl/rcPmlBCVKyTk+9PpPBQJDXFDWPy14frFUJ0jnTdCyEayMvXhI5uIY1to7Hz1gLuREW4M8813q4MEJ9WTJJlAvHl4RLdTohuIg29EKKB9kbKay3a3R23WFm10f/28l0JPP6oSZbRCdGN5JpZCNFAeyPlNY5217gL/pFHWt4uXfRCdC+JjCeEaKAjkfJ8M8udyNcMT1Bk3XyuC7617d1dn7YuFRSiL2suMl7AGnqlVAywBhgF5AA3aq1L/Ow3AvgLMBzQwOVa65yWji0NvRCdE8iGuSu15aIF5EJA9A+9saH/NVCstX5SKbUMiNZaP+xnvy3Ar7TWG5VSYYBLa13d0rGloRei7+uKO/F162Dp8uIGa/jBPQyRvTaZZ5bFsHFzz8X5F6I79caG/iAwT2t9SikVD2zRWo9vtM9E4CWt9UXtObY09EL0bV2VaGdxlp3ciIPEjStrsq3wUCTm/RMosFc0eyHw7KMSb1/0Hc019IG8Vh2itT7leXwaGOJnn3FAqVLqLaXUd0qpp5VSRn8HU0rdpZTappTaVlBQ0F1lFkL0gPYG7WlOa2v89x92titmgBB9Ubc29EqpTUqpPX7+rvbdT7u7Ffx1LQQBc4CfAzOA0cASf+fSWr+ktZ6utZ4+aNCgrq2IEKJHtTdoT3MSE9xr+P2pKrSiVMsXAify+99kZTHwdGtDr7VeqLVO8fP3NnDG02WP579n/RwiD9ihtT6mta4D/gVM7c4yCyFa5nK5x74XZ9m5aGEti7PsrFvnfr2rtHYn3tYGuLWlgsnjjC1eCAyXePuiHwhk1/07QJbncRbwtp99vgGilFL1t+jzgX09UDYhhB/1Y+dLlxeTG3EQ65xd5EYcZOnyYn6+rK7LGvvW7sTb2gC3tsb/wfvbFzNAiL4okA39k8AipdRhYKHnOUqp6UqpvwBorZ24u+0/VErtxp3N8s8BKq8QA15XjZ23pr1Be5pjMMBvngri2UdjGFU+HtvWVEaVj+fZR2N45skgLrtMgvmI/k8C5ggh2qy1WeyjysezamXn74K7atZ9W8/VH2IGCNHcrHuJdS+EaLP2JrzpqPo78YwNMaxcFdatCW8MBsjMhMxM6aYX/ZM09EKINmtvwpvOkAZYiK4hHVNCiDbrqrFzIUTPkTt6IUSbZWTAho8iWL822e/YuUxeE6L3kYZeCNFmPTl2LoToGtLQCyHaRcbOhehb5PpbCCGE6MekoRdCCCH6Mem6F0KIXsTlckcgXLnaTl6+JjFBkbXYTEaGzIEQHSMNvRBC9BJNIgKOtpFbaGXp8gQ2bu7aiIBi4JCGXgghegnfXAL1KXqDY2qJGV3OB2uTuXRDDJmZAS6k6HPk2lAIIXqJlavtRKblexv5eoYgTWRaPitX2QNUMtGXyR29EKJf60tj3j2VS0AMLL3sZy6EEF2nfsx76fJiciMOYp2zi9yIgyxdXszPl9XhcgW6hA0lJiiqCq1+t1UVWhnehbkExMAhDb0Qot/yHfOOG1dGcEwtcePKSLp2Px98Wc6GDYEuYUOSS0B0B2nohRD9Vl8b887IgIzzI8hem0zhoUhqii0UHooke22y5BIQHSZj9EKIfquvjXlLLgHRHaShF0L0W4kJitxCK8ExtU22VRVaGdULx7wll4DoanJ9KITot2TMWwi5oxdC9GMZGbDhowjWr012R5qLs1FVaKVsZ4KMeYsBQxp6IUS/JWPeQkhDL4To52TMWwx0cj0rhBBC9GMD5o7e4XCQl5eHzeZ/qY0QHWW1WklMTMRkMgW6KEII0cSAaejz8vIIDw9n1KhRKNX7ltSIvklrTVFREXl5eSQlJQW6OEII0cSA6bq32WzExsZKIy+6lFKK2NhY6SkSQvRaA6ahB6SRF91CfldCiN5sQDX0gfarX/2KSZMmkZqaSnp6Ol999VVAylFaWsof//hH7/OTJ09y/fXXd8mxX3nlFX784x83eG3evHls27atS47fXlu2bOHKK68MyLmFEKI3kIa+h3zxxRe8++67fPvtt+zatYtNmzYxfPjwbjtfXV1ds9saN/TDhg3jzTff7LaydLeW6iqEEAOdNPQ95NSpU8TFxWGxWACIi4tj2LBhAGzfvp25c+cybdo0MjIyOHXqFOC+E77//vtJT08nJSWFr7/+GoCvv/6aWbNmMWXKFC688EIOHjwIuO+mr7rqKubPn8+CBQuorKxkwYIFTJ06lcmTJ/P2228DsGzZMo4ePUp6ejoPPvggOTk5pKSkeI9x3XXXkZmZydixY3nooYe8dXj55ZcZN24cM2fO5Ic//GGTO/fW/PWvf+WBBx7wPv/zn//MT3/6U3JycpgwYQK33HILycnJXH/99VRXV7f62TzwwANMnz6d3/3udyxZsoS7776b6dOnM27cON59990m52/pc2uuzhs2bGDWrFlMnTqVG264gcrKynbVWQghAk5r3e/+pk2bphvbt2+f9/H999+v586d26V/999/f5Nz+qqoqNBpaWl67Nix+p577tFbtmzRWmttt9v1rFmz9NmzZ7XWWq9evVrffvvtWmut586dq++8806ttdYff/yxnjRpktZa67KyMu1wOLTWWm/cuFFfd911WmutV6xYoRMSEnRRUZHWWmuHw6HLysq01loXFBToMWPGaJfLpbOzs73H0lo3eL5ixQqdlJSkS0tLdU1NjR4xYoQ+fvy4zs/P1yNHjtRFRUXabrfriy66SN93331N6rlixQodFxen09LSvH+hoaH6m2++0RUVFXr06NHabrdrrbWeNWuW3rVrl87OztaA/vTTT7XWWt9+++366aefbvWzueeee7znzcrK0hkZGdrpdOpDhw7phIQEXVNTozdv3qyvuOKKVj83f3UuKCjQc+bM0ZWVlVprrZ988kn9H//xH36/X9/flxBCBAKwTftpEwfM8rpACwsLY/v27WzdupXNmzdz00038eSTTzJ9+nT27NnDokWLAHA6ncTHx3vfd/PNNwNw8cUXU15eTmlpKRUVFWRlZXH48GGUUjgcDu/+ixYtIiYmBnBfxD366KN88sknGAwG8vPzOXPmTKtlXbBgAZGRkQBMnDiR3NxcCgsLmTt3rvfYN9xwA4cOHfL7/ptuuok//OEP3ufz5s3zfgbz58/n3XffJTk5GYfDweTJk8nJyWH48OHMnj0bgFtvvZXnn3+ezMzMFj+bm266qcF5b7zxRgwGA2PHjmX06NEcOHCgwfaysrJmPzd/dS4tLWXfvn3ectntdmbNmtXq5yeEEL3JgGzof/vb3wbkvEajkXnz5jFv3jwmT57MypUrmTZtGpMmTeKLL77w+57GM7qVUvziF7/gkksuYe3ateTk5HgbUoDQ0FDv49dee42CggK2b9+OyWRi1KhRbVoGVj+8UF/mrhwDv/POO3niiSeYMGECt99+u/d1f/XUWrf42fjWtblj+Grpc/NXZ601ixYtYtWqVe2qoxBC9CYyRt9DDh48yOHDh73Pd+zYwciRIxk/fjwFBQXexszhcLB3717vfmvWrAHg008/JTIyksjISMrKykhISADc48vNKSsrY/DgwZhMJjZv3kxubi4A4eHhVFRUtKv8M2bM4OOPP6akpIS6ujr++c9/tuv99c4//3xOnDjB66+/7u2tADh+/Lj3M3j99de56KKLWv1sGnvjjTdwuVwcPXqUY8eOMX78+Abb2/q51bvgggv47LPPOHLkCABVVVXN9mIIIURvJQ19D6msrCQrK4uJEyeSmprKvn37ePzxxzGbzbz55ps8/PDDpKWlkZ6ezueff+59n9VqZcqUKdx99928/PLLADz00EM88sgjTJkypcW77VtuuYVt27YxefJk/va3vzFhwgQAYmNjmT17NikpKTz44INtKn9CQgKPPvooM2fOZPbs2YwaNcrb1d1eN954I7NnzyY6Otr72vjx43nhhRdITk6mpKSEe+65p9XPprERI0Ywc+ZMLrvsMl588UWsVmuD7W393OoNGjSIV155hZtvvpnU1FRmzZrVZDhACCF6PX8D9339r7XJeH3F3Llz9TfffBPoYnhVVFRord2T/K688kr91ltvdeg4V1xxhd60aZP3eePJgR2RlZWl33jjjU4dozP64u9LCNG/0MxkPLmjF232+OOPe5f6JSUlcc0117Tr/aWlpYwbN47g4GAWLFjQPYUUQgjRgHJfBPQv06dP140jse3fv5/k5OQAlUj0d/L7EkIEmlJqu9Z6euPX5Y5eCCGE6MekoRdCCCH6MWnohRBCiH5MGnohhBCiHwtYQ6+UilFKbVRKHfb8N7qZ/X6tlNqrlNqvlHpe9eHk30opli5d6n3+zDPP8Pjjj3f5eZ544okGzy+88MIuOW5YWFiD5/5S0vakUaNGUVhYGLDzCyFEXxDIO/plwIda67HAh57nDSilLgRmA6lACjADmNuThexKFouFt956q9sbp8YNfUtBZnozST8rhBCdF8iG/mpgpefxSuAaP/towAqYAQtgAlrPytJLBQUFcdddd/Hcc8812VZQUMD3vvc9ZsyYwYwZM/jss8+8ry9atIhJkyZx5513MnLkSO+FwjXXXOONlf/SSy8B7hS0NTU1pKenc8sttwDn7sQXL17Me++95z3nkiVLePPNN3E6nTz44IPMmDGD1NRU/vSnP7WrXhUVFSQlJXmTxJSXl3ufN5dqt6qqin/7t39j5syZTJkyxZtCt3Gq3S1btnDxxRdzxRVXMH78eO6++25cLleTMvj7LOrr/thjj5GWlsYFF1zgTerT3OcthBD9jr8oOj3xB5T6PFa+zxvt9wxQCpQBv2rLsdsUGW/u3KZ/L7zg3lZV5X/7ihXu7QUFTbe1QWhoqC4rK9MjR47UpaWl+umnn9a//OUvtdZa33zzzXrr1q1aa61zc3P1hAkTtNZa33ffffqJJ57QWmu9bt06DeiCggKttfamo62urtaTJk3ShYWF3vM0Pq/WWr/11lv6tttu01prXVtbqxMTE3V1dbX+05/+pP/rv/5La621zWbT06ZN08eOHWtSfoPB0CD97PDhw72papcsWaLXrl2rtdb6T3/6k/7Zz37m+Zj9p9p95JFH9Kuvvqq11rqkpESPHTtWV1ZWNkm1u3nzZm2xWPTRo0d1XV2dXrhwoTcC3siRI1v9LAD9zjvvaK21fvDBB731bO7z7iiJjCeECDQCkaZWKbUJGOpn02O+T7TWWinVJHKPUuo8IBlI9Ly0USk1R2u91c++dwF3gTvmeW8VERHBbbfdxvPPP09wcLD39U2bNrFv3z7v8/LyciorK/n0009Zu3YtAJmZmQ3iwz///PPebSdOnODw4cPExsY2e+7LLruM+++/n9raWj744AMuvvhigoOD2bBhA7t27eLNN98E3MlfDh8+TFJSUoP3BwcHs2PHDu/zV155hfrARHfeeSe//vWvueaaa1ixYgV//vOfvfv5S7W7YcMG3nnnHZ555hkAbDYbx48fBxqm2gWYOXMmo0eP9h7r008/5frrr29QtuY+C7PZzJVXXgnAtGnT2LhxY4ufd+N5CEII0dd1a0OvtV7Y3Dal1BmlVLzW+pRSKh4462e3a4EvtdaVnvesA2YBTRp6rfVLwEvgjozXauG2bGl+W0hIy9vj4lre3ooHHniAqVOnNkjT6nK5+PLLL5skYmnOli1b2LRpE1988QUhISHMmzev1RS0VquVefPmsX79etasWcPixYsBd6/O73//ezIyMjpcp9mzZ5OTk8OWLVtwOp2kpKR4tzWXgvaf//xnkwxzX331VbvTz7b0WZhMJu/+vil32/t5CyFEXxXIMfp3gCzP4yzgbT/7HAfmKqWClFIm3BPx9vdQ+bpNTEwMN954ozcbHcCll17K73//e+/z+jvn2bNn849//AOADRs2UFJSArjvuqOjowkJCeHAgQN8+eWX3veaTCbveHljN910EytWrGDr1q1kZmYCkJGRwf/8z/9433Po0CGqqqraXa/bbruN73//+w0uYMB/qt2MjAx+//vf1w/P8N133zV73K+//prs7GxcLhdr1qzhoosuarC9pc+iOc193kII0d8EsqF/EliklDoMLPQ8Ryk1XSn1F88+bwJHgd3ATmCn1vp/A1HYrrZ06dIGs++ff/55tm3bRmpqKhMnTuTFF18E4Je//CUbNmwgJSWFN954g6FDhxIeHk5mZiZ1dXUkJyezbNkyLrjgAu+x7rrrLlJTU72T8XxdeumlfPzxxyxcuBCz2Qy4u90nTpzI1KlTSUlJ4Uc/+lGHZrzfcsstlJSUNMgzD/5T7f7iF7/A4XCQmprKpEmT+MUvftHscWfMmMGPf/xjkpOTSUpK4tprr22wvaXPojnNfd5CCNHfSFKbXq62thaj0UhQUBBffPEF99xzT6+9+3zzzTd5++23efXVV72vzZs3j2eeeYbp05vkWWiTLVu28Mwzz/Duu+92VTG7RV/9fQkh+o/mktp06xi96Lzjx49z44034nK5MJvNDSa59SY/+clPWLduHe+//36giyKEEMKH3NEL0QXk9yWECDRJUyuEEEIMQNLQCyGEEP2YNPRCCCFEPyYNvRBCCNGPSUPfg4xGoze5yw033EB1dXW73n/y5Elv6NcdO3Y0mOH+zjvv8OSTT3a6jP5Sz86bN4/Gkxt7ypYtW7whbIUQQrSfNPQ9qD5W/J49ezCbze0O0jJs2DBvPPrGDf1VV13FsmVNMv32CZKOVgghuo809AEyZ84cjhw5QnFxMddccw2pqalccMEF7Nq1C4CPP/6Y9PR00tPTmTJlChUVFeTk5JCSkoLdbuff//3fWbNmDenp6axZs8Z7J15WVsbIkSO9qVyrqqoYPnw4DoeDo0ePkpmZybRp05gzZw4HDhxoV5n/+te/8sADD3if//nPf+anP/0pOTk5TJgwgVtuuYXk5GSuv/56b2/F9u3bmTt3LtOmTSMjI4NTp04B7l6CBx54gOnTp/O73/2OJUuWcPfddzN9+nTGjRvnN0DO119/zaxZs5gyZQoXXnghBw8eBNy9ENdddx2ZmZmMHTuWhx56yPueDRs2MGvWLKZOncoNN9xAZWVlu+oshBB9nr+Udn39ry1paueumNvk74Wv3Wlqq+xVfrev+G6F1lrrgqqCJtvaoj5drMPh0FdddZX+4x//qH/84x/rxx9/XGut9YcffqjT0tK01lpfeeWV+tNPP9Vaa11RUaEdDofOzs72pnldsWKFN0Vs4+dXXXWV/uijj7TWWq9evVrfcccdWmut58+frw8dOqS11vrLL7/Ul1xySZMyrlixQsfFxTVIRxsaGqq/+eYbXVFRoUePHq3tdrvWWutZs2bpXbt26ezsbA14y3v77bfrp59+Wtvtdj1r1ix99uxZb1luv/129+c/d66+5557vOfNysrSGRkZ2ul06kOHDumEhARdU1OjN2/erK+44gqttdZlZWXa4XBorbXeuHGjvu6667xlTkpK0qWlpbqmpkaPGDFCHz9+XBcUFOg5c+boyspKrbXWTz75pP6P//iPNn1X7SVpaoUQgUYg0tSKhmpqakhPTwfcd/R33HEH559/Pv/85z8BmD9/PkVFRZSXlzN79mx+9rOfccstt3DdddeRmJjYwpEbuummm1izZg2XXHIJq1ev5t5776WyspLPP/+cG264wbtfbW1ts+//wx/+4H0+b948AMLCwpg/fz7vvvsuycnJOBwOJk+eTE5ODsOHD2f27NkA3HrrrTz//PNkZmayZ88eFi1aBIDT6SQ+Pr7BeXzdeOONGAwGxo4dy+jRo5v0OJSVlZGVlcXhw4dRSjVI3LNgwQIiIyMBmDhxIrm5uZSWlrJv3z5vuex2O7NmzWrz5yiEEP3BgG3otyzZ0uy2EFNIi9vjQuJa3N6cxvncW7Js2TKuuOIK3n//fWbPns369evbnFL1qquu4tFHH6W4uJjt27czf/58qqqqiIqK6nSc/DvvvJMnnniCCRMmNMhS11wq2kmTJvHFF1/4PVZ709H+4he/4JJLLmHt2rXk5OR4L0AALBaL93F9OlqtNYsWLWLVqlXtqqMQQvQnMkYfYHPmzOG1114D3DPM4+LiiIiI4OjRo0yePJmHH36YGTNmNLm7DQ8Pp6Kiwu8xw8LCmDFjBvfffz9XXnklRqORiIgIkpKSeOONNwD3kM3OnTvbXd7zzz+fEydO8PrrrzfIUnf8+HFvg/76669z0UUXMX78eAoKCryvOxwO9u7d2+yx33jjDVwuF0ePHuXYsWNNctWXlZWRkJAAuMflW3PBBRfw2WefceTIEcA9X+HQoUPtqq8QQvR10tAH2OOPP8727dtJTU1l2bJlrFy5EoDf/va3pKSkkJqaislk4rLLLmvwvksuuYR9+/Z5J+M1dtNNN/H3v/+9Qff4a6+9xssvv0xaWhqTJk3i7bff7lCZb7zxRmbPnk10dLT3tfHjx/PCCy+QnJxMSUkJ99xzD2azmTfffJOHH36YtLQ00tPT+fzzz5s97ogRI5g5cyaXXXYZL774YpMejIceeohHHnmEKVOmtGmm/qBBg3jllVe4+eabSU1NZdasWe2egCiEEH2dJLUR7XbllVfy05/+lAULFgCQk5PDlVdeyZ49ezp8zCVLlnDllVd64wT0NfL7EkIEmiS1EZ1WWlrKuHHjCA4O9jbyQgghercBOxlPtF9UVJTfMe5Ro0Z16m4e2jbmLoQQov3kjl4IIYTox6ShF0IIIfoxaeiFEEKIfkwaeiGEEKIfk4a+B50+fZrFixczZswYpk2bxuWXX86hQ4e8yWq6U3p6OosXL+7WcwghhOh9ZNa9Hy4XrF8PK1fbycvXJCYoshabycgAQwcvjbTWXHvttWRlZbF69WoAdu7cyZkzZxg+fHgXlr6p/fv343Q62bp1K1VVVU1CzwohhOi/5I6+EZcLlj5cx9LlxeRGHMQ6Zxe5EQdZuryYny+rw5P9td02b96MyWTi7rvv9r6WlpbGnDlzGuyXk5PDnDlzmDp1KlOnTvVGkjt16hQXX3wx6enppKSksHXrVpxOJ0uWLCElJYXJkyfz3HPP+T33qlWr+MEPfsCll17a4Wh4Qggh+ia5o29k/XpY/1U5SdfuxxDkjhoYHFNLzOhyPlibzKUbYsjMbP9x9+zZw7Rp01rdb/DgwWzcuBGr1crhw4e5+eab2bZtG6+//joZGRk89thjOJ1Oqqur2bFjB/n5+d417KWlpX6PuWbNGjZu3MiBAwf4/e9/z/e///32V0AIIUSfJHf0jaxcbScyLd/byNczBGki0/JZucrered3OBz88Ic/ZPLkydxwww3s27cPgBkzZrBixQoef/xxdu/eTXh4OKNHj+bYsWP85Cc/4YMPPiAiIqLJ8bZt20ZcXBwjRoxgwYIFfPfddxQXF3drHYQQQvQe0tA3kpevCY2z+d0WGmfjRH7HcgNMmjSJ7du3t7rfc889x5AhQ9i5cyfbtm3DbndfWFx88cV88sknJCQksGTJEv72t78RHR3Nzp07mTdvHi+++CJ33nlnk+OtWrWKAwcOMGrUKMaMGUN5eTn//Oc/O1QHIYQQfY809I0kJiiqCv3nfa8qtDI8Qfnd1pr58+dTW1vLSy+95H1t165dbN26tcF+ZWVlxMfHYzAYePXVV3E6nQDk5uYyZMgQfvjDH3LnnXfy7bffUlhYiMvl4nvf+x7//d//zbffftvgWC6Xi3/84x/s3r2bnJwccnJyePvttyU/uxBCDCDS0DeStdhM2c4EXHUNG3RXnaJsZwJZN5s7dFylFGvXrmXTpk2MGTOGSZMm8cgjjzB06NAG+917772sXLmStLQ0Dhw44J0hv2XLFtLS0pgyZQpr1qzh/vvvJz8/n3nz5pGens6tt97K8uXLGxxr69atJCQkMGzYMO9rF198Mfv27ePUqVMdqocQQoi+RdLUNlI/6379V+VEpuUTGmejqtBK2c4EMi+I4Jkngzq8xE70X5KmVggRaM2lqZVZ940YDPCbp4LI2BDDylVhnNivGZWgyHrUzKWXdnwdvRBCCBEI0tD7YTBAZiZkZnasm14IIVrTHYG5hPBHGnohhOhhTYYIR9vILbSydHkCGzfLEKHoWtLQCyFED+uuwFxC+CPXjEII0cMCHZhLDCzS0AshRA/rrsBcQvgjDX0PCkSa2scff5yEhATS09OZMGEC99xzD66OZuYRQnSJ7grMJYQ/0tC3pKIC7r3b/d9Oqk9TO2/ePI4ePcr27dtZvnw5Z86c6YKCtuynP/0pO3bsYN++fezevZuPP/64288phGhedwXmEsIfaehb8ve/wYdr4bW/d/pQgUxTW89ut2Oz2YiOju50fYQQHZeRARnnR5C9NpnCQ5HUFFsoPBRJ9tpkMi+I4NJLA11C0Z/IrPvmVFTAKy/C1fHwyv/ALbdCeHiHDxfINLXPPfccf//738nNzeWyyy4jPT29w/UQQnSeBOYSPUl+Ts35+98goQ7GREK8o0vu6tuiq9PUwrmu+7Nnz1JVVcXq1at7pC5CiObVB+ZatdLMp5ssrFppJjNTGnnR9eQn5U/93fwMT8M5M8J9V9+JsfpApan1ZTKZyMzM5JNPPulwPYQQQvQtAWvolVI3KKX2KqVcSqkmQfh99stUSh1USh1RSi3rkcLV383HeGbFxlg7fVcfiDS1jWmt+eyzzxgzZkyH6yGEEKJvCeQd/R7gOqDZ20ullBF4AbgMmAjcrJSa2K2lanw3X6+Td/WBSFNb77nnnvNO4nM6ndx7770dqoMQQoi+J+BpapVSW4Cfa623+dk2C3hca53hef4IgNbaf4vm0Zk0tfzPC/D2c3BJXNNtHxXCtUvh7ntaP44YUCRNrRAi0PpqmtoE4ITP8zzg/G4947EjYI+D9f42xsHRQ916eiGEEKIrdWtDr5TaBAz1s+kxrfXbXXyuu4C7AEaMGNHxAz3d8lp0IYQQoi/p1oZea72wk4fIB4b7PE/0vObvXC8BL4G7676T5xVCCCH6hd6+vO4bYKxSKkkpZQYWA+909GCBno8g+if5XQkherNALq+7VimVB8wC3lNKrfe8Pkwp9T6A1roO+DHuEfP9wD+01ns7cj6r1UpRUZH8T1l0Ka01RUVFWK3+E5QIIUSgBXzWfXfwN+ve4XCQl5eHzeY/NaQQHWW1WklMTMRkMgW6KEKIAayvzrrvMiaTiaSkpEAXQwghhOhRvX2MXgghhBCdIA29EEII0Y9JQy+EEEL0Y/1yMp5SqgDI7eLDxgGFXXzMQOgv9QCpS2/VX+rSX+oBUpfeqDvqMVJrPajxi/2yoe8OSqlt/mYz9jX9pR4gdemt+ktd+ks9QOrSG/VkPaTrXgghhOjHpKEXQggh+jFp6NvupUAXoIv0l3qA1KW36i916S/1AKlLb9Rj9ZAxeiGEEKIfkzt6IYQQoh+Tht6HUuoGpdRepZRLKdXsbEilVKZS6qBS6ohSapnP60lKqa88r6/xZNzrcUqpGKXURqXUYc9/o/3sc4lSaofPn00pdY1n2ytKqWyfbek9XQefcrZaF89+Tp/yvuPzeq/4Tjxlacv3kq6U+sLzO9yllLrJZ1tAv5fmfvc+2y2ez/iI5zMf5bPtEc/rB5VSGT1Zbn/aUJefKaX2eb6DD5VSI322+f2tBUob6rJEKVXgU+Y7fbZleX6Ph5VSWT1b8iblbK0ez/nU4ZBSqtRnW2/7Tv6qlDqrlNrTzHallHreU9ddSqmpPtu6/jvRWsuf5w9IBsYDW4DpzexjBI4CowEzsBOY6Nn2D2Cx5/GLwD0BqsevgWWex8uAp1rZPwYoBkI8z18Brg/099GeugCVzbzeK76TttYFGAeM9TweBpwCogL9vbT0u/fZ517gRc/jxcAaz+OJnv0tQJLnOMYAfg9tqcslPv8e7qmvS0u/tV5clyXAH/y8NwY45vlvtOdxdG+tR6P9fwL8tTd+J57yXAxMBfY0s/1yYB2ggAuAr7rzO5E7eh9a6/1a64Ot7DYTOKK1Pqa1tgOrgauVUgqYD7zp2W8lcE23FbZlV3vO39ZyXA+s01pXd2ehOqi9dfHqZd8JtKEuWutDWuvDnscngbNAkwAYAeD3d99oH9/6vQks8HwHVwOrtda1Wuts4IjneIHSal201pt9/j18CST2cBnbqi3fS3MygI1a62KtdQmwEcjspnK2pr31uBlY1SMl6wCt9Se4b56aczXwN+32JRCllIqnm74TaejbLwE44fM8z/NaLFCqta5r9HogDNFan/I8Pg0MaWX/xTT9R/MrT5fSc0opS5eXsO3aWherUmqbUurL+iEIetd3Au38XpRSM3Hf3Rz1eTlQ30tzv3u/+3g+8zLc30Fb3tuT2lueO3DffdXz91sLlLbW5Xue382bSqnh7XxvT2hzWTzDKEnARz4v96bvpC2aq2+3fCcDJk1tPaXUJmCon02Paa3f7unydFRL9fB9orXWSqlml1Z4riInA+t9Xn4Ed0Nkxr0E5GHgPztb5hbK0BV1Gam1zldKjQY+Ukrtxt3Q9Kgu/l5eBbK01i7Pyz36vQhQSt0KTAfm+rzc5LemtT7q/wi9wv8Cq7TWtUqpH+HudZkf4DJ1xmLgTa210+e1vvad9KgB19BrrRd28hD5wHCf54me14pwd78Eee5m6l/vFi3VQyl1RikVr7U+5WkwzrZwqBuBtVprh8+x6+86a5VSK4Cfd0mhm9EVddFa53v+e0wptQWYAvyTHvxOPOfvdF2UUhHAe7gvPr/0OXaPfi+NNPe797dPnlIqCIjE/e+iLe/tSW0qj1JqIe4LtLla69r615v5rQWqUWm1LlrrIp+nf8E9V6T+vfMavXdLl5ewbdrzG1kM3Of7Qi/7Ttqiufp2y3ciXfft9w0wVrlnc5tx/+je0e6ZFJtxj3cDZAGB6iF4x3P+tpSjyViXpxGqH+O+BvA7c7SHtFoXpVR0fTe2UioOmA3s62XfCbStLmZgLe7xuzcbbQvk9+L3d99oH9/6XQ985PkO3gEWK/es/CRgLPB1D5Xbn1bropSaAvwJuEprfdbndb+/tR4reVNtqUu8z9OrgP2ex+uBSz11igYupWHPXk9qy+8LpdQE3JPUvvB5rbd9J23xDnCbZ/b9BUCZ50K+e76Trppl2B/+gGtxj4nUAmeA9Z7XhwHv++x3OXAI9xXjYz6vj8b9P7AjwBuAJUD1iAU+BA4Dm4AYz+vTgb/47DcK9xWkodH7PwJ2425I/g6EBfA7abUuwIWe8u70/PeO3vadtKMutwIOYIfPX3pv+F78/e5xDx1c5Xls9XzGRzyf+Wif9z7med9B4LJAfQftqMsmz/8D6r+Dd1r7rfXiuiwH9nrKvBmY4PPef/N8X0eA23tzPTzPHweebPS+3vidrMK9YsaBu025A7gbuNuzXQEveOq6G59VXt3xnUhkPCGEEKIfk657IYQQoh+Thl4IIYTox6ShF0IIIfoxaeiFEEKIfkwaeiGEEKIfk4ZeCCGE6MekoRdigFENU3ruUD7pZNtxjGuUUhO7oXi+54hVSm1WSlUqpf7QnecSoj8bcCFwhRDUaK3TO3mMa4B3aUcEMp9QxG1lA34BpHj+hBAdIHf0QgiUUtOUUh8rpbYrpdb7hNv9oVLqG6XUTqXUP5VSIUqpC3GHUn3a0yMwRim1RSk13fOeOKVUjufxEqXUO0qpj4APlVKhSqm/KqW+Vkp9p5RqNhWp1rpKa/0p7gZfCNFB0tALMfAE+3Tbr1VKmYDfA9drracBfwV+5dn3La31DK11Gu4Y6XdorT/HHav7Qa11um49S9hUz7Hn4g6F+5HWeiZwCe6LhdBuqKMQwkO67oUYeBp03Sul6rvGN7rz5WDEHacbIEUp9d9AFBBGxxJsbNRaF3seXwpcpZSqz7xnBUZwLtGKEKKLSUMvhFDAXq31LD/bXgGu0VrvVEotoWEKTV91nOshtDbaVtXoXN/TWh/scGmFEO0iXfdCiIPAIKXULACllEkpNcmzLRw45enev8XnPRWebfVygGmex9fTvPXATzypduvTwQohupE09EIMcFprO+7G+Sml1E7caVkv9Gz+BfAV8BlwwOdtq4EHPRPqxgDPAPcopb4D4lo43X8BJmCXUmqv53mzPJP6ngWWKKXyuntJnxD9kaSpFUIIIfoxuaMXQggh+jGZjCeECCilVAbwVKOXs7XW1waiPEL0N9J1L4QQQvRj0nUvhBBC9GPS0AshhBD9mDT0QgghRD8mDb0QQgjRj0lDL4QQQvRj/x9tag7RA24tVQAAAABJRU5ErkJggg==",
+ "image/png": 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",
"text/plain": [
""
]
@@ -3874,8 +294653,7 @@
"hash": "fec13c077df37747858e85c1c59012fe8dc4acbf510e296df8ee678ed378d277"
},
"kernelspec": {
- "display_name": "Python 3",
- "language": "python",
+ "display_name": "Python 3.8.3 64-bit ('environ': venv)",
"name": "python3"
},
"language_info": {
@@ -3888,7 +294666,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.7.6"
+ "version": "3.8.3"
}
},
"nbformat": 4,