{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Plotting linear static analysis results for beams" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwwAAAScCAYAAAAmvgi2AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/H5lhTAAAACXBIWXMAAB7CAAAewgFu0HU+AADhTElEQVR4nOzdeVzU2Z3v/3exKG5YgKioqBQuvcReCrTT+yL0ancmCbTZJpOZpCGZm19mS6DN3NxMZkmnmGTuPJJ7JwEnmZksN1GYLK29CdjpPVGpXuzNhXJBRUWLAjdk+/7+OKkCpAoKrYWC1/PxOA+g6vv91qFp4fuu8znn2CzLsgQAAAAAQSTFuwMAAAAAxi8CAwAAAICQCAwAAAAAQiIwAAAAAAiJwAAAAAAgJAIDAAAAgJAIDAAAAABCIjAAAAAACInAAAAAACAkAgMAAACAkAgMAAAAAEIiMAAAAAAIicAAAAAAICQCAwAAAICQCAwAAAAAQiIwAAAAAAiJwAAAAAAgpJR4dwATU1dXl3bv3i1Jys7OVkoK/6sBAABEU29vr9ra2iRJq1atUlpaWkSuy10comL37t1as2ZNvLsBAAAwKe3YsUOrV6+OyLUoSQIAAAAQEiMMiIrs7OzA5zt27FBOTk4cewMAADDxtba2Bio8Bt+LXSkCA6Ji8JyFnJwcLVq0KI69ATBRnT8vnTpl2unTUmenaWfOmHbp52fPSt3d0sWL5uOln3d3Sz09UlLS0GazmY+pqdK0aSO3WbMku9202bMHPh/c0tPN9QAgWiI5f5TAAAAYNyzL3NwfPSodOzbw8dgxqa1taDg4dUq6cCHePb48KSlSdrY0d640b575OPjzefOkhQulRYukjAwTWAAgXggMAICY6e2VWlqkgwelAwdMO3hQOnJkICCcOxfvXkZfb6/U2mraaGbMMMEhN3d4y8uTli6VpkyJepcBTGIEBgBARF24IO3bJ+3ZI+3dKzU3DwSDlhapry/ePUws586Z/5Z79gR/PinJhIf8/IHmcJiPy5aZ8icAuBIEBgDAmFmWGQ3w38gObocOmedjKTlZysoy8wNmzTItPX345zNnSmlp0tSp5l35KVOGf56SYvrf3z+09fWZOQ4XLozczpyRfL6B1tEx8Hl/f+S/9/5+89/80CFp+/bhz+fkSFdfLV1zjfno/3zuXEqdAISHwAAAGJHPJ+3ebdpbbw18fuZMdF83I0NasMDU8i9YYOr658wJ3mbPHv83v5ZlJl23t5v5GCdPSidOBP94/Lj5PBL8pU+XhomMjKFB4vrrTZszJzKvC2DimFSBoaamRrW1tXI4HPJ6vZKkDRs2yOl0xuW6sT7Pz+12q7S0VE1NTbLb7WGdA2Di6+szIwRvvjkQDN56y5QRRdrMmQP193l50uLFA8Fg4ULzrvj06ZF/3Xiy2QZGPBYvHv347m4zitPSYuZ4tLQMtCNHzIjC6dOX35/2dunVV00bbOFC6YYbTHi44QbT8vNZ1QmYzCZNYCgtLZXH41FjY2PgJtnj8aigoEAul0tlZWUxvW6sz5NMUKiurlZNTc1lfa8AJo7+fjO/YNcuqanJfHz99chOOF64UFq5UlqxwoQCf1u61JQPjfcRgXibMmXgv1koHR1mjkiw1tJyeaVhR4+a9tRTA4/NmCFdd50JD4WF0po1ZlQiOXns1weQeGyWFetK09irqalReXm52tvbh72jXldXF3i3fawjDZd73VifV1VVpU2bNqmwsFClpaUqLS2Vz+cLep1IOXLkiHJzcyVJLS0t7MMAxJFlSfv3Szt3DoQDt9uUx1ypGTNMIFi5cmhbscKMIiB+Ll40weG990x7913z8f33pa6uK7/+jBlSQYEJD6tXm49LlhAEgXiK1v3XpAgMGRkZKiwsVH19fdDnbTabioqKQj4f6evG+rxg/SYwABPX+fMmFPjLTV57zexZcCVSU807yqtWmXeaV62SPvABs9wnN4iJpa/PlDMNDhK7d0tvv33lQSI7eyA83HqrdNNNpgQLQGxE6/5rwpckud1u+Xy+EUcPnE6nGhoa5PP5wr6Bvtzrxvo8ABObZZnSE38wePVV6Y03zDr/l2vhQlO/7g8H111nRgxY639iSE42y646HNJDDw083ttrytTefNP8P+RvJ0+Gf+22Nunpp02TzLyHG24w4eG228zHhQsj970AiI0JHxg2bdokScrKygp5TGZmpiSpoaFBJSUlUb1urM8DMLFYltnj4IUXpN/+VnrxRTMB9nItWGBq0gsKBj7Omxex7iKBpKSYFZOuuUb6+McHHj9+fCBENDVJO3aYEYpw9Peb8je3W/re98xjS5cOBIjbbjOvx4RqYHyb8IGhoaFBkkZ8x93/3M6dO8O+0b7c68b6PACJzbJM2cgLLwy048cv71pz55pykcLCgXCQkxPZ/mLimT/ftPvuG3jsxAkzJ2bnThMgduyQ/rBo36gOHjTtZz8zX8+ZI915p3T33aZdfTVlbsB4M+EDg8/nkzTw7nsw/uf8x0bzurE+L1qOjPKWZmtra9T7AExE/hGE+nozgvDCC6bMY6ySkkxZ0c03S7fcYj7m5XEjhsiYN09at840yfx/e+CACQ6//70pj2tqCq807tQp6b//2zT/te+6ayBALF/O/7dAvE34wOAN9y2PGB0b6/OixT+hBsCVa2uTGhtNSKivv7x9DzIzTSjwB4TVq1mlCLFjsw3Mi/jYx8xj58+bEYhXXpFeftnMr+noGP1aJ05ImzaZJpmyubvvloqLpXvvZVQMiIcJHxgAYLy5cMHcQPkDwhtvjP0aOTmmjMPfrrqKd2ExvkyfPvD/p2TmM7zzjgkQr7wivfRSeHMhjh0z5Uv+EqZVq0x51L33SrffLqWlRe97AGAQGHBZWkZ5C7S1tVVr1qyJUW+A8c2yzNKVTz8tbdtmbpQuXhzbNXJzhwaEZcsICEgsSUnmZn/VKunznzePHTokPf/8QAtndG33btO+/W0TFu6804SH++4zE6j5dwFE3oQPDJmZmfL5fGGV6Yw0PyBS1431edHCvgrAyM6dk7ZvH1hi8vDhsZ2fkyMVFZlSjLvuMivLcCOEiWbJEukznzHNsiSPZ2iAGG06XFeX9Nxzpv3N35glW++9V3rwQfMxPT0W3wUw8U34wBDOfgT+m/Cx7F1wudeN9XkAYmf//oGA8Nvfjm0UYcYMEwyKi01Q4J1STDY2m5Sfb9rnPmcCxN69JjjU15t5PqPNgTh6VPqP/zAtNVW6446BydnLlsXm+wAmogkfGAoLC+V2u9Xc3BzyGI/HI0lavXp11K8b6/MARE93t1nF6OmnpaeeMqsbhSspyeyG6w8IH/wgG6MBg9ls0sqVpn3+82bFpR07zGjCtm3m8/7+0Of39JiQ0dgo/dVfmc0H/eHhtttMoAAQngm/VUpxcbGkkZca9T83lr0LLve6sT4PQGR1dprVWz7+cSk725Q9/Ou/hhcWFi+WysulX/5SOn3aLD35939v3gUlLAAjS0kxK4B94xvm305bm1Rba0Yjwlm4b+9e6V/+RbrnHrP3w/r10k9+Yv4tAhiZzbIsK96diDabzSaHwxH03Xmfz6eMjAw5nU41NTXF5LqxPu9SGRkZ8vl8am9vj1r50pEjRwJLr7a0tDDnAQnt6FHpySel3/zGzEvo6QnvvORk807mQw+ZmmrKjIDosCxpzx4z+uAvCezuDu/c5GQT2j/8YemP/ii88AGMV9G6/5rwIwyS5HK55PF4AiU7g23evFmStHHjxmHPeTweFRQUqLy8PKLXjfV5AMbGsszyj//0T6ZsaNEi6c//3NyMjBYW5s0zEzhra82GVL/9rfSVr0jXXktYAKLFZjNLC//FX5h/p6dOmZG8P/sz829yJH19Zp7El75kRgFXr5a++U2zwzqAP7AmiZKSEsvhcFjt7e2Bx5qamiy73W65XK6g51RUVFiSLElWU1NTxK4bj/P8mpubA99TfX39qMdfrpaWlsDrtLS0RO11gEjp77esXbssq7LSspYtsywTG8Jrq1db1je+Yc7v64v3dwJgsL4+y9q507K+/nXLKigY27/tlSst6/HHLev3vze/I4DxLlr3X5OiJMmvpqZGtbW1cjgc8nq98vl8qqysVFFRUdDj3W63SktL5XA4VF9fH7Hrxvq8uro6PfHEE0GXZc3MzJTdbtf69etVUVEx4uuOBSVJSASWZXairasz7cCB8M6bMsXUQX/oQ9Ijj5idaAEkhmPHTNnS1q1m8vSFC+Gdt3Ch9NGPSqWlZi5F0qSo0UCiidb916QKDIgdAgPGq/5+s7pKba0JCeHujzB7tpmL8KEPSfffz/ruwERw/rwpYfrVr6QtW6QR1hUZYuFCqaREevRRs8IZ4QHjBYEBCYXAgPGkv9+squIfSThyJLzzFi0ykyA/9CFWMgImup4es0zyr34l/frXZiQiHIsWDYSHm24iPCC+CAxIKAQGxJtlSbt2ST//ubR5s1npKBz5+abk4KMflQoKmKgMTEb9/aZc8Ve/Mm3v3vDOy801vz9KS0144PcHYo3AgIRCYEC8vPeeCQk//7nZeTkcy5cP/JG//nr+yAMY6t13zejk5s1mBbVwLF5sRh0++Ul+ryB2CAxIKAQGxFJLi/SLX0j/7/9Jb7wR3jkrVw6EhFWr+GMOIDzvvmvmQG3aFP7Sq1dfbYLDJz4h5eVFt3+Y3AgMSCgEBkTbqVPmj/bPfy699FJ451xzjQkIJSXsiwDgyr3zjhl12LxZev/98M65+WYTHh591OwWD0QSgQEJhcCAaDh71kxG/PnPzXKIvb2jn5OfL33849LHPmZCAgBEmmVJb789MPIQzpyH5GTp3ntNePjQh6SZM6PfT0x8BAYkFAIDIsW/C+t//ZfZufX8+dHPmT/fBISPf9zs2spIAoBYsSzprbcGyiTDWbp5+nQTGj75Sem++6SUlOj3ExMTgQEJhcCAK/Xuu9KPfyz99KfhrXBkt5uVjT7xCenOO827dwAQT/390quvSj/7mSlbumTv1KDmzTPB4U/+RLruuuj3ERMLgQEJhcCAy9HWZt6V+/GPzZKoo5k2zey0/PGPm83Upk6Nfh8B4HJ0d5tSyp/9TPrNb8LbYfqGG0xw+MQnpLlzo95FTAAEBiQUAgPCdfGi9NRTJiQ89dTo8xIG1/0+8og0a1Zs+gkAkXLmjAkNP/uZVF9vSi9HkpIiPfCACQ/r1vHmCEIjMCChEBgwEsuSduwwIeEXvwhvmP7GG6VPf9qMJsybF/0+AkAsnDxpypV+8hPze3E0mZlmjtaf/AlztDDchAgM3/72t1VdXS1JcjgcKi4uVklJiZYuXRqrLiBGCAwIpq3N/FH84Q/NHIXRzJ8vfepTJiisWhX9/gFAPL3/vlng4Sc/CW/u1tVXm9+Pn/60tGBB9PuH8W9CBIZly5bJ4/HI4XCosrJSDodD9fX18ng8ys/P14YNG5Senh6r7iCKCAzw6+uTnnvOhIQnnxy95CgtTfrwh827Z2vXsloIgMmnr0/avn1gdbjR5jskJ0sPPih99rPmY2pqbPqJ8WdCBIbXX39dDQ0N+spXvhL0uSeeeEJr1qzRl7/85Vh1CVFCYEBzs/SjH5k/eOG8U3bHHSYklJRIvG8AAEZnp1RXZ36Xvvji6MfPn29+l/7Zn0krVkS/fxhfJkRgCMfGjRvldrv1/e9/P95dwRUgMExO589L//3fJij89rejH+9wSJ/5jCk7ysuLdu8AILF5PKZc6cc/Np+P5o47zKhDSYnZ6wET36QJDJLU2Nio119/nZGGBEZgmDwsyyyB+qMfmU2KOjtHPj4tzfzx+uxnzR+zpKTY9BMAJgrLkl5+WfrP/zQ7S587N/Lx6elmadbPflYqKGCi9EQWrfuvcfmneu3atWpubo53NwCMwOeTvvc9s074mjXSD34wclgoLJT+7d+k1lbzDtlddxEWAOBy2GzS7bebuWGtrdK//7v0wQ+GPr6z0/yOXr3a/M7+3vfCW50O8Ivpn+vOzk5t2LBBX/jCF/SrX/0qli8NIAIsS/rd76Q//VOzIseXviS99Vbo4zMzzTFvvCHt3Cl94QtmR2YAQGTMmmVGDl57TXr7bemv/1qaMyf08W+9ZX4vL1hgRh1efNH8bgdGEtOSpHvvvVcNDQ3mhf8wHlZaWqqysjIVFhYGVkg6ePCgSktLtXPnzlh1DRFGSdLE0tEh/fSnUk3NyAFBMu98FRebP2Af+hAbDAFArHV3m1Xp/v3fze7So93pXX21VF5ulmfNyIhNHxEdE6IkyW63q7+/X7t27dKXv/xlLV26VJs3b1ZxcbEyMjKUlZWl5cuXKz8/X+Xl5bHsGoBL+DdX++xnzTtRX/ziyGFhyRLp7/5OOnDALKP66KOEBQCIhylTzFyxZ5+VDh6UvvEN8zs6lPfek/7yL83v+s98xoxWMOqAweJSQex0OuVyudTc3Kxt27bpscce04033qj29nZZlqVvfetb+tznPhePrgGTXmen9P3vS06ndNNNZjLz+fPBj01JMX+Utm0zK3Z8/esj/1ECAMTW4sXS//pf5nf0tm3S+vUmUATT1WWWb73lFun66828s46O2PYX41NMS5IOHDigxx9/XC6Xi92dJzhKkhLPrl1SdbX085+PvuJGXp702GNmLsP8+bHpHwAgMk6dMkuzVldLe/eOfOz06WauQ3m5WbwC49uEWVa1o6NDlZWVOnDggKqrqwkOExSBITGcPWuWQq2ultzukY9NTpYeecT80SguZoUjAEh0lmX2zPnBD6Rf/Urq6Rn5eKdT+vznpY9/XJo5MyZdxBhNmMDg19HRodmzZ8fjpREDBIbxbc8eM9T8n/85+r4JS5aY0YQ/+zMpJycm3QMAxNjJk9J//Id5A+nAgZGPnTXLbLj5hS9Iq1bFpn8Iz4SY9DwYYQGIrd5e8w5SUZF01VXSd78bOiwkJ5sVjp5+Wmpulv72bwkLADCRzZ0rVVZK+/ebhSs+8hHztyCYM2fMXLfrrpPuvFPavHn00QkktpR4dwBAdJ04IW3caN41OnJk5GNzcwdGExYujE3/AADjR1KSdO+9ph07Zha+qKmRWlqCH//ii6bl5EhlZaYtWBDbPiP6qEIGJiDLkl5+2UxUy82Vvva10GHBZpMeekjautUMQ3/ta4QFAIC58f+f/9P8bdi6VVq3LvT8tdbWgeVbH32UDeEmGgIDMIGcPWveCbrhBun2282KR6GGibOypIoKM/y8dasJDaGGnwEAk1dysvkbsWWLCQ//839K8+YFP7a3V6qtNaVK111nJlSfPRvb/iLyCAzABLBnj/QXf2FGBsrLR95gbc0as872kSOSyyU5HLHrJwAgsS1eLP3DP0iHD5tV9m69NfSxb79tJkYvXCh96UvS++/Hrp+ILAIDkKDGMok5Lc3smbBzp/T730uf/rR5DACAyzFlille9eWXpddfN/Pfpk8Pfmxnp/S970lXX23+Zv361+ZvGBIHgQFIMKdPD4wMfOQjUmNj6GMdDumf/9mMJvzoR2y6AwCIvBtuMOWwR45I//Iv0rJloY9tbJQ+/GHz9+mb3zTLuWL8IzAACeKtt8w7OIsWSY8/HnrFCpvNTEx7+mlp3z7py1828xUAAIimjAzpr/7KlMk++6z08MPmb1IwLS1mye7cXOlP/mT0zUMRXwQGYBzr6zNlR3ffLV1/vfTv/y51dQU/1j+JubnZTEx74AF2YwYAxF5SknTffdKTT0oej9nfIdQbV93d0o9/LBUUSLfdxp4O4xW3E8A45PWaUqL8fFN29Nvfhj720knMeXkx6yYAACNaulT61rfM36j/+i9p9erQx77yirR+vSlXeuIJ6dSpmHUToyAwAOPI22+bVY4WLTKjBYcOBT8uNVX65Cel3/2OScwAgPEvLc38rdqxw7Q/+RNp6tTgxx45In31q6Zc6XOfG3nlP8QGgQGIs74+6Te/kdaulVatMhPHLlwIfuy8edLXv26CxE9/Kt10U2z7CgDAlVq9WvrP/zRLs/7jP4beGbqrS/rhD01J7l13mRJdVleKDwIDECc+n/Sd75jVJP7oj6Tt20MfW1go/eQnJij83d9JOTkx6iQAAFEyd66Z+HzwoNlo9OabQx/7wgumRHfZMlOy6/XGrJsQgQGIuXfflf78z81GNl/+svlFGUxKilnj+rXXzPDtpz4VevgWAIBElZoqfexj0quvDvy9S00NfuyhQ6Zkd9Ei6fOfl955J7Z9nawIDEAM9PWZlYuKi6Vrr5W+/33p/Pngx2ZnS1/7mvml+P/+n/TBD4Zelg4AgIlk9Wozon74sBlRnzcv+HEXLkjV1dIHPmA2g9uyxfytRXQQGIAoOnvW7G65cqX0yCNSQ0PoY51Os4LE4cPS3/996JpOAAAmuvnzB+bs/eQnI2882tho/sauWCH97/9tdpZGZBEYgCg4fFj6ylfMkOmXvmT2RggmOdksIffKK9KuXax2BADAYFOnmhKlHTtMydLHPmZKdoPxeKS//mvzt/ev/ko6cCC2fZ3ICAxABP3udwNrSH/721JHR/DjsrLMknEHD0q/+IV0yy2UHQEAEIrNZiZF//zn5m/n3/6tNGdO8GPPnJH+9V/NBOmPfER66SXJsmLZ24mHwABcod5eqbbW/CK7+WazS2WoOsrrr5d+9COppUX6p38y74IAAIDwLVxolmNtaZH+4z+kG24Iflx/v1mK9Y47zNyIn/3M7CyNsSMwAJepo2NgWdRHHzWjC8HYbKa28vnnpddfl/70T6Vp02LbVwAAJpq0NOkzn5HcbunFF81oQlKIO9umJlPalJcnffOb0unTMe1qwiMwAGPU3Cz9xV+Y0YEvfzn0bswzZkhf/KK0Z4/ZmO2uuyg7AgAg0mw26fbbpf/+b2n/fukv/1KaNSv4sceOmXKm3FyzLOv778e0qwmLwACEwbLMuxcf/rC0fLn03e+aFZCCyc2VqqrMUOn3vmeOBwAA0ZeXZ1ZKOnLEfMzLC36cf1nWq6+WHnxQ2raNeQ4jITAAI+juln76U7Oc2513Sr/+dehfKDfdZCYwNzebFZIyMmLaVQAA8Afp6WakYd8+6Ze/NCMQoTzzjHTffdKqVdK//7sJExiKwAAEcfq09MQT5p2JP/5jUx8ZTFKSVFJilnrzr5AUandKAAAQW8nJpjrgxRfN8uWf/GToZVnfeUd67DFp8WLpf/0v6fjx2PZ1PCMwAIPs2SN94QumrOirXzW1jsGkp5u1npubB1ZIAgAA41dBgakaOHjQ/I3PzAx+3KlT0j/8g7RkiZlU/cYbMezkOGWzrMlTsVVTU6Pa2lo5HA55vV5J0oYNG+R0OuNy3UQ573IcOXJEubm5kqSWlhYtGsfrh1qW2SXyf/9v6emnRz42L89MeP6zPws9oQoAAIx/58+bXaT/9V9Hn/x8111mM7h160KvxDQeRO3+y5okSkpKLKfTabW3twcea25utux2u1VdXR3z6ybKeZerpaXFkmRJslpaWiJ+/Ui4cMGyfvhDy1q1yrJMbAjdbr/dsn75S8vq7Y13rwEAQCT19VnW009b1r33jn4/sGyZZX3ve5Z15ky8ex1ctO6/JkVgqK6utiQNuVn2q62ttSRZTU1NMbtuopx3JcZzYDh+3LK+/nXLmjt35F8KKSmW9clPWtauXfHuMQAAiIW337asz33OsqZOHfkeYfZsy/rKVyzr8OF493ioaN1/TYqSpIyMDBUWFqq+vj7o8zabTUVFRSGfj/R1E+W8KzEeS5J27zbDjj/96cg7PWZkmLWZ/8f/MLtJAgCAyaWtTfrBD6T/+3+lEydCH5ecLJWWmnmNq1fHrn+hROv+axxXYUWG2+2Wz+cbsU7f6XSqoaFBPp8v6tdNlPMmiv5+My+huFi67jrpRz8KHRZWrJD+7d/M/gnf/CZhAQCAySo7W/ra18zmrP/1X9INNwQ/rq/PLKm+Zo1ZuvVXvzKPTTQTPjBs2rRJkpSVlRXymMw/TJNvaGiI+nUT5bxEd/68eWfgmmukhx6SRvrW1q6Vtm6V3nvPrJA0Y0bs+gkAAMavqVOlT3/aLK/+/PPSI4+YnaWDefll6SMfMW9Afve70pkzse1rNE34wOC/Cbbb7SGP8T+3c+fOqF83Uc5LVEePmqXScnPNzf+ePcGPmzJF+tM/ld5804SJhx4a36seAACA+LHZzEpJv/mNtHev9MUvStOnBz/W4zErKubmShUVpnIh0U34WyR/mU1mqMV2Bz03lpKcy71uopyXaJqapE99Slq61Gy49odVY4fJzpa+/nXp8GFTnnTddTHtJgAASHDLlknf+5505Ij0rW+FLmHu6JD++Z/Nkuwf/7iUyO/LhtjrbuLwhrpzjNOxiXLeaI4cOTLi862trWFf60r09Znt3BsbRz7uAx8w6yd/4hNSWlpMugYAACawjAypstJMeK6tlb7zHVO6dCn/PIdf/EK6806pvl5KTY19f6/EhA8MiA7/DPx4S042owahPPigCQpr14auOQQAALhcqanmDcmPf1x66SXpX/5FevJJswDrpebMSbywIE2CkiRMfH/1V0O/njbNLIv63nvSU09JRUWEBQAAEF02m3THHdKvfx16nsOl9yyJYsKPMGRmZsrn84VVbjNSnX+krpso542mZZQZPK2trVqzZk3Y17sSa9ZIt95qJhn9f/+fVFYmjbAoFAAAQFT55zl84xvSxo1m1aRFi6Rbbol3zy7PhA8MI60O5Oe/mQ7n2Cu9bqKcN5rRNgLp7e0NfB6L+Qzf+Y4pTZoyRbpwwUxEAgAAiLdPftJs7nbypFnNMZoG33MNvhe7UhM+MBQWFsrtdqu5uTnkMR6PR5K0egxb9F3udRPlvCvV1tYW+DxWIw0AAAAw2tratHTp0ohca8LPYSguLpY08pKh/udKSkqift1EOQ8AAACQJJtlBZvDPbHYbDY5HI6g77L7fD5lZGTI6XSqqakpJtdNlPOuRFdXl3bv3i1Jys7OVkpKdAezBs+Z2LFjh3JycqL6eogMfm6Ji59dYuLnlrj42SWmWP/cent7A1Ueq1atUlqk1pK3JgGXy2VJspqbm4c9V11dbUmympqahj3X3NxsOZ1Oq6ysLKLXTZTzEklLS4slyZJktbS0xLs7CBM/t8TFzy4x8XNLXPzsEtNE+blNisBgWZZVUlJiORwOq729PfBYU1OTZbfbLZfLFfScioqKwA851A315Vw3kc5LFBPlH+Rkw88tcfGzS0z83BIXP7vENFF+bhN+0rNfbW2tampqVFpaKofDIa/XK5/Pp9raWhUVFQU9Z/369aqrq5PD4ZDT6YzYdRPpPAAAAExuk2IOAya+I0eOBHafbmlpGXXZV4wP/NwSFz+7xMTPLXHxs0tME+XnNuFXSQIAAABw+QgMAAAAAEIiMAAAAAAIicAAAAAAICQmPQMAAAAIiREGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIaXEuwMAAIwHlZWV8ng88vl8stvt2rhxo+x2u6qqqrRz505lZmZKkqqrq+PcUwCILZtlWVa8OwEAQDyVlpbK5XLJ4XBIkoqLiwMfHQ6HSkpKVFNTo/LycrlcLlVUVMSzuwAQU5QkAQAmtfLycm3YsCEQFiTJ6XSqoaFBO3fuVElJiSQzAiFJdrs9Ht0EgLihJAkAMGn5fD55vV45nc5hj0vS+vXrA481NjbK6/WqqKgoll0EgLijJAkAMGn5g8Glowb5+fnyeDziTyQAMMIAAJjEgpUX+Xw+eTyeYaMOADBZMYcBAIBBGhoaJA0tRwKAyYzAAADAIJs2bZKkoHMV3G53rLsDAHFHYAAATFo+n091dXVDHvOPMFxaklRXVxd4DgAmE+YwAAAmrby8PPl8PjU1NcnpdKqurk4+n2/IEqt+1dXVqq+vj0MvASC+GGEAAExKPp9PPp9PRUVFcjqd8vl8qq6uVm1tbWDHZz//hm0AMBmxrCoAYNKqqalRU1NT4GuXyyW73a6amhrV1tbK4XDI6/UO2QUaACYbAgMAAACAkChJAgAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYACiLCMjQzU1NfL5fPHuCgAAwJgRGIAo8ng88vl8Ki8vV0ZGhmw227BWVVUV724CAACElBLvDgATmdvtliQVFRXJbrcPec7j8UiSKioqYt0tAACAsBEYgCjyeDyqra1VSUnJsOeKi4tVXV0dh14BAACEj5IkIIpOnz6toqKiYY9XVVWpvLxcDocjDr0CAAAIn82yLCvenQAul9vtVmlpqZqamoaV/ARTU1Oj2tpaORwOeb1eSdKGDRvkdDqj3NMBbrdb1dXVjC4AAICEQGBAQvLfdNfU1EiS2tvbRw0MpaWl8ng8amxsDBzr8XhUUFAgl8ulsrKyKPfaKC4uVn19fUxeCwAA4EpRkoSEUlVVpYKCAlVXV6u0tDSsUQXJjCzU1dUNCQuS5HA4tHHjRpWXlwcmKEdTVVVVTEczAAAArhQjDEhoGRkZ8vl8o44wZGRkqLCwMOQ7+zabTUVFRVF/5z8jI0ONjY2EBgAAkDAYYcCE53a75fP5RrxJdzqdamhoGLa5WnFxcdC9E0K1jIyMkK9RV1c3aj8AAADGGwIDomqsOxzX1dUF9ieIlE2bNkmSsrKyQh6TmZkpSWpoaBjyeH19vSzLCru1t7eP2I9wS6gAAADGCwIDoqqpqUlr164NKzTU1NTosccei3gf/CFgpJt1/3M7d+6M+Ov7xWKOBAAAQKQRGBBV1dXVKiwsVEFBwYihoaqqSpWVlWpsbIz43gT+1/WPIgTjf24soyFj5fF4RuwDAADAeERgQNRVV1erqKgoZGioqqrSE088oaampqjU9/v3W4j0sWPldDqZvwAAABIOgQExESo0DA4LE33X46amJtXW1sa7GwAAAGNCYEDMXBoaJlNYAAAASFQp8e4AJpfq6mqVl5crLy9PkmISFjIzM+Xz+cIqN2KOAQAAwFCMMCDm7HZ7WBORI/l6o/GHCZY9BQAAGIrAgJiqrKxUXV2d2tvbVVZWpry8vIjvu3CpwsJCSVJzc3PIY/x9WL16dVT7AgAAkGgIDIiZ8vJy1dXVqampSXa7XS6XS2VlZSooKIhqaCguLpY08pKp/udKSkqi1g8AAIBExBwGxER5ebkaGhoCYcHP5XJJkgoKCqI2n8EfAi7dxdnP5/PJ4/Gw5CkAAEAQjDAg6kKFBb9YjDS4XC55PJ6g19+8ebMkaePGjVF5bQAAgERGYEBUjRYW/FwulzZs2DCm0ODxeAKlRLt27Rrx2IqKCpWUlKi4uHhIaZLb7VZlZaVcLhcjDAAAAEHYLMuy4t0JTFxVVVUqKysLe/WhmpoaFRUVhSxNqqur0xNPPBF0mdTMzEzZ7XatX79eFRUVIa9fW1srh8Mhr9crn8+nyspKFRUVjen7AgAAmCwIDAAAAABCoiQJAAAAQEgEBgAAAAAhERgAAAAAhMQ+DIiKrq4u7d69W5KUnZ2tlBT+VwMAAIim3t5etbW1SZJWrVqltLS0iFyXuzhExe7du7VmzZp4dwMAAGBS2rFjh1avXh2Ra1GSBAAAACAkRhgQFdnZ2YHPd+zYoZycnKi91sWLUleXlJQ00Gy24V/bbFHrAgAAQNy1trYGKjwG34tdKQIDomLwnIWcnBwtWrQoaq/1b/8m/Y//Mfpxl4aIwS0lRZoyJbyWmjr06+nTL6/NmGFeFwAAINIiOX+U2xUkvP7+8I6zLKmvz7TxYvp0KT09eJs1K/RzmZkDbdo0Rk8AAED0EBiQ8BJ5r/Lz5007fvzyrzF16tAAkZEx9OvBbc4cae5cKTvbjI4AAACMhsCAhBfuCMNEdfGi1Npq2ljY7SY8XNqys4c/lplpSrcAAMDkQ2AYZ6qqqlRfX69du3YpMzNTTqdTGzZskNPpvKzreTwelZeXq7S0VEVFRXI4HIHH3W63Nm3aJJfLFXg8EX32s1JJiQkOl9t6e6WeHqm7e2ytq0u6cME0/2jBSG08jYb4fKbt3Tv6sSkp0vz50oIFUk6O+RisZWVRHgUAwERDYBgnfD6fSktLVV5ervr6ekmS2+1WaWmpCgoKVFFRIZfLdVnXbWhoUENDQ9DnEz0sSNLMmaaNd5ZlRgPOn5fOnZPOnpU6OwfamTNDvw7V/Df6sQwfvb3SkSOmjSQ1dXigyM2VFi8eaDk5UnJybPoNAACuHIFhnCgtLVVlZaWKiooCjzmdTjU1NSkvL09VVVVavXq1SkpKIvJ6TqdTGzduvOyRC4ydzSalpZmWmXll1+rvlzo6JK93aGtvH/6Yv50+LZ06Fd0Srp4e6fBh00JJTpYWLhwaIvzNHy5mz2akAgCA8YLAMA643W5JGhIW/Ox2u8rKylRVVaXHHnvssgJDSUmJXC6XPB5PoMwJiS0pyUxuzsiQ8vPDP6+/34SKkyfDaz5f5Pve1zd6qJg1S1qyRHI4hrelS83KUAAAIDYIDOOAv2SouLg4UI40WHFxsaqqquTz+eTxeC6rhMjhcCR86RGuXFKSmWeQlSVdffXox3d3m+Bw4oR07Njw1tpqPp48GdkSqTNnpLffNi2YnJzhQSIvz3zMyWGCNgAAkURgGAeam5slmeDgdruHjQAMvtF3u93c+CNmpkyRFi0yraAg9HE9PcFDxdGjUkvLwIjCxYuR6Zd/VahXXhn+XFqatGyZtHy5tGLF0JadTakTAABjRWAYB8rLy9XQ0CCn0xm0XMg3qC7EbrfHrmNAmFJTB4JFKJYltbWZ4DA4RPhbS8vYl4YNpqsr9OjE7NkmOFwaJpYvNxviAQCA4QgM44DT6QyMMgSza9euwOeFhYWX9Rput1vV1dWBr71er9avXx+xSdTAaGy2gX0dQv1vfPGiGZU4dEg6eFDyeAbagQNmFONKdHRIO3eadqn586WVK6VrrhloV19tHmdUAgAwmREYEoD/Rr+srOyyRhgaGhq0evXqIYHB4/EoPz9fZWVlQx4P15FR1tdsjcRbxZh0pk4dmJMQzNmzwYOE//Ourst/7ePHTXvhhaGP2+0D4WFwmMjNJUgAACYHm2WNp62kcKm6ujqVlpbK4XCoqalpzIHBvw9DsJGEyspKVVVVqbq6WmVlZWO6rm0Md0otLS1aNFKtChABlmVKmpqbzWZ0e/dK+/aZj/v3R27+hN+MGUNDxHXXmbZgAUECABAfR44cUW5urqTI3n8RGMYxn8+nvLw8SVJTU1PEJzu73W4VFBTIbrervb19TOcSGJBI+vrMHAl/kBgcKA4ejOzeFBkZA+HB36691gQMAACiKVqBgZKkcay0tFRSdMKCNLD6ks/nC7o600haWlpGfL61tVVr1qy5ov4BkZKcbPZvWLpUuvfeoc9dvGjKmfbskd57T3r3XdPee0+6cGHsr9XebsqaBpc22Wxmv4xLg0ReHkvAAgDGPwLDOFVVVaVdu3ZdUVjweDxyuVwqLi4edXKzx+MZU2BgxAATxdSpprTo6qulP/qjgcf7+83k68Ehwh8kOjvH9hqWZcqi9u+XfvnLgcdnzJCuv1668UbJ6TTtmmvMcrYAAIwXBIZxqKamRtXV1Tpw4MAVLaNaXV2tmpoa1dTUaLTKM/Z2AIZKSjIjAHl50oMPDjxuWWaPicEh4u23pbfeMpOyx+LcOenVV03zmzJF+sAHBgKE02lGI9jdGgAQLwSGcaahoUHV1dVBJzjX1dXJbrerqKgorGtlZWVJUsgJzR6PJ/D5WEYXgMnMZpMWLjStuHjgcf+IxFtvSbt3m49vvWXmSYxljkR3t+R2m+aXnCxdddVAgLjxRtPYOwIAEAsEhnHE7XarsrJSjY2NQUcWdu7cqfLy8rCv53Q6VVFRIZfLFfT5hoYGSWIvBiACBo9IfOhDA49fuGBGIQYHiTfflE6dCv/afX3SO++Y9pOfmMdsNhMi1qyRVq82H6+7zpRYAQAQSaySNE74fD6tXbtWGzduHFYe5PV65fP5VFpaOmyDN4/Ho9LSUhUWFgbdT6G0tFQulytoyVF+fr68Xu8Vlz4FE61Z+sBEYFlmE7o33pBef92MJrz+ulkS9kpMmSLdcMNAgFizxuxkzcRqAJgcWFZ1AvP5fCooKBhSIhSMw+EYFhj8eylIZjWlS0uLPB6PysvLVVlZGShl8ocTj8ejxsbGqJQjERiAsfP5TIjwBwi3W3r//Stb9jU93eysPXgkgn+OADAxsazqBPbEE0+MGhak4BOT169fr7q6OjkcjqA3/g6HQ/X19aqsrJTL5ZLX61VmZqaKiopClioBiA+7XbrrLtP8zp0zZUyDQ8Tbb0s9PeFds7NT2r7dNL9Fi6RbbpFuvtl8vOEGVmYCAITGCAOighEGIHouXjTzIHbskHbuNB/ff//yr5eWZkYhbrllIEjMnRu5/gIAYoMRBgCAJDOx2T9Hwa+jQ9q1ayBA7NghHT0a3vW6uqSXXzbNLz9/6CjEBz5gVmsCAEw+BAYAmABmz5bWrjXN79ixoQFi504TLMLR3Gyaf1WmmTNNeLj9dumOO0xYYW8IAJgcCAwAMEEtWGCWePUv89rfL+3ZI7322sCGce+9F961zp6V6utNk8ych9WrTXi44w4zCsG+EAAwMTGHAVHBHAYgMXi90u9/PxAgfv97M9F6rJKSzORpf4C47TYpOzvi3QUAjIBlVZFQCAxAYurtNaswvfrqwEhEGIu4BXX11QMB4q67zIgHACB6CAxIKAQGYOI4ftwEh5dekl580ewVcTl7Q6xcKd1zj2l33SXNmRPpngLA5EZgQEIhMAATV0fH0ACxY0f4+0IMdt11AwHijjvMxG0AwOUjMCChEBiAyePCBTP3wR8gXn1VOn9+bNdISpIKCgYCxK23SjNmRKe/ADBRERiQUAgMwOTV02N2pH7pJemFF0yI6Owc2zVSU6WbbpKKiqTiYrOMawrr+gHAiAgMSCgEBgB+vb3S669L27dLzz9vgsRYRyBmzzYjD8XF0r33mo3lAABDERgmiZqaGtXW1srhcMjr9UqSNmzYIKfTOS6vGwqBAUAo3d1m3sPzz5sQ8dpr0sWLY7uGwzEQHu65R7Lbo9JVAEgoBIZJoLS0VB6PR42NjbL/4a+fx+NRQUGBXC6XysrKxtV1R0JgABCuCxdMaPCPQOzYYUYlwpWUZEqW7r3XtDVrTEkTAEw2BIYJrqamRuXl5Wpvbw/c1PvV1dWptLRUTU1NYx4RiNZ1R0NgAHC5zpyRXn5ZamyUtm2Tdu8e2/mzZplRhwcflB54QPrDryIAmPAIDBNcRkaGCgsLVV9fH/R5m82moqKikM/H+rqjITAAiJRjx6SGBqm+3rQTJ8Z2/gc+MBAebr2V0QcAE1e07r8SZs2Jzs5ONTQ0yOPx6PTp08rKypLdbldhYaFuuOGGeHfvirjdbvl8vhHf5Xc6nWpoaJDP5xs2UhDr6wJALC1YIH3606ZZlhlx2LbNtJdekrq6Rj7/7bdNq6qS0tPNykv+AMHu0wAwuoQIDI8//rj++Z//WZLkHxCx2WxDjiktLdWGDRt0/fXXx7x/V2rTpk2SpKysrJDHZGZmSpIaGhpUUlIS1+sCQLzYbGbDt+uuk778ZTP/4eWXTXior5fefHPk8zs7pV/+0jRJuv76gfBw880s3QoAwSTFuwOjefTRR+XxePSDH/xA27ZtU21traqrq/WVr3xFN954oyzLkmVZ2rx5s5xOp1asWKEf/vCH8e72mDQ0NEjSiO/w+5/buXNn3K8LAOPFtGlmtaR//mfpjTek1lbpxz+WPv5xKSNj9PPffFN64gmz03R2trR+vfRf/zX2sicAmMgS4r2UzZs3j/h8ZmamysrKVF9fr9dff11lZWWqrKxUbW2t7r777hj18vL5fD5JA+/2B+N/zn9sPK8rmRq5kbS2to7pegAQCfPnS3/8x6b19ZkVl55+2jS3e+RzfT5p82bTJGn1ajP68NBDZhfqpHH/FhsARMeE+PWXmZmpb33rW2pqalJzc7O+/OUvq6+vT0VFRfrqV78a7+6Nyr8vQqIcK0m5ubkjtjVr1ozpegAQacnJpszoH/5Bamoyow//8R9SaanZCG40O3dK3/iGWaY1J0f6zGdMmBjj+ysAkPDGfWBYvXq1vvCFL4x4zOD5DHl5eXK5XGpvb9cTTzyhb33rW/rzP//zaHcTADDOzZ8/cNPf1ia9+KL0+ONmPsRoTp40pUrr10tz5kh33im5XGYyNWsNApjoxn1g+MpXvqIdO3ZoxYoVOnTo0JjOraiokNfr1Y4dO/T8889HqYeTU0tLy4htx44d8e4iAISUmirdfruZv/Dmm1JLi7Rxo/ThD0szZ458bl/fQNhYtUpaulT6whekLVukc+di0n0AiKlxHxgkqampSbNmzZLD4dD9998/ppt/u92uhoYG/eAHP4hiD6+Mfx5BOGVBI81HiNV1JWnRokUjtpycnDFdDwDiadEi6XOfM6snnT5t9n3467+WVq4c/dzDh6Uf/EB65BEpK0u6/37pu9+Vmpuj328AiIWECAySCQ1f/vKXtW3bNhUVFWn58uX66le/qu3bt496Q2y328d8QxxL4ex/4P8ex7JXQrSuCwAT2ZQp0tq10ne+I73/vrR/v/S975kgMHXqyOdevCg995z0F38hLVtm2p//ufTrX0sdHTHpPgBEXMIEBklyuVzatWuX7rnnHjU3N8vlcqm4uFg+n0/333+/vv3tb2v79u3q7OwMnNPZ2alf/vKXY57UG0uFhYWSpOYR3o7yeDySzJyOeF8XACaT/Hzpi1+UnnlG8npN6dEXviAtXjz6uc3N0ve/b0qdsrKk226T/v7vpddek3p7o993AIiEhFhWdTCn0xlYPvUHP/iBNm7cKEnatm2b6uvrg57jcDhCPjceFBcXq6amZsSlTf3PjWVztWhdFwAmq+nTpXXrTLMs6d13zZKtTz1lNpDr6wt9bl+f9Morpn3962alprVrpXvvNS0vL3bfBwCMhc2yEn99h8bGRrndbu3cuVMej0c+n092u10Oh0Pr16/XRz/60Xh3cVQ2m00OhyPoaIDP51NGRoacTqeamprGxXVHc+TIEeXm5koyE6QXLVoU0esDwHjj85m5D089ZUYjxrr527JlA+HhrrvCW/oVAAaL1v1Xwo0wBLN27VqtXbs23t24Ii6XS5WVlfJ4PHI4HEOe829c5x9NGczj8ai0tFSFhYWqrq6O2HUBAGNjt0slJab190u7d0vbtpn20ktmfsNI9u837d/+zWwSV1go3XOPabfeakY3ACAeJsQIw0RRWloqt9utpqamwCRkt9uttWvXasOGDaqoqBh2TmVlpaqqqiSZieFOpzMi171SjDAAwIDz501o8AeIt98e2/mpqdIHPzgQIG66afQJ2AAmn2jdfxEYxpmamhrV1tbK4XDI6/XK5/OpsrJSRUVFQY93u90qLS0ddZ7GWK97pQgMABDasWNSfb0JD/X1ZiO5sZg2zUyg9gcIp1NKmRA1AwCuBIEBCYXAAADh6e83m8dt22aWZH3lFam7e2zXSE83u0/ffbd0xx3S9dcTIIDJiMCAhEJgAIDLc+GC9Oqr0vbt0vPPSzt2jLz6UjCzZpl5D3fcYVphISVMwGTApGcAACaBadPMcqv+tTzOnDHzH7ZvN+2NN8ySriM5c0Z69lnTJCktzcyB8AeID35QmjEjqt8GgAmEwAAAwDg2a5b04IOmSdLp09ILLwwEiPfeG/0aXV3Sb39rmmTKlQoLBwLErbeaVZ4AIBhKkhAVlCQBQGy0tpogsH279OKL0t69Y7+GzSZ94APSLbcMtPx88ziAxMEcBiQUAgMAxMfx46aE6cUXTdu9e/QSpmCyswfCw623SgUFprQJwPhFYEBCITAAwPjg9ZqVl/wBoqlp7JOoJbMXREHB0FGInJzI9xfA5SMwIKEQGABgfDp7VnrttYEA8fvfj74LdShLl5oJ1GvWmHbjjexIDcQTqyQBAIArNnOmVFxsmmQmRLvdZinXV181oxEnT4Z3rYMHTfvFL8zXycnSqlUDAWLNGumaa8zjABIXgQEAgEksLW2gxEgy8x0OHBgIEK++Kr31VnjzIPr6zLKvb7wh1dSYx2bMMKVMg0PE4sVMqAYSCYFhnKmqqlJ9fb127dqlzMxMOZ1ObdiwQU6n87Ku5/F4VF5ertLSUhUVFcnhcAQed7vd2rRpk1wuV+BxAMDkZrNJDodpn/qUeayz02wg5w8Qr71mHgvHuXMD5U9+c+dKq1ebIOF0mrZoESECGK8IDOOEz+dTaWmpysvLVV9fL0lyu90qLS1VQUGBKioq5HK5Luu6DQ0NamhoCPo8YQEAMJr0dKmoyDTJjCS8954JDzt3mjDx9ttSf3941zt5UnrqKdP8srMHwoO/5eURIoDxgEnP40RxcbEqKytV5P9t/Ac+n095eXny+Xyqra1VSUnJmK7rdrtVUFAw7HGn06mNGzde9sjFaJj0DACTy7lzZi7Ejh0D7eDBK7vm7NnDQ8Ty5cyJAEJh0vME5na7JWlYWJAku92usrIyVVVV6bHHHhtzYJCkkpISuVwueTyeQJkTAACRNGOGdPvtpvmdPDkwAuFvXm/41+zokJ5/3rTBr7NqlXTddaZdf735evbsyH0vAIYiMIwD/pKh4uLiQDnSYMXFxaqqqpLP55PH47msEiKHw0HpEQAgpubOlR56yDTJTJz2eMxSrm73QOvoCP+a585Jv/udaYMtWTIQIvxt2TIphTsd4Irxz2gcaG5ulmSCg9vtHjYCMPhG3+12c+MPAEhINpuUn2/aJz5hHvOvyuQPD01N5uOpU2O79qFDpm3ZMvBYWpp07bUDAWLVKrPM6/z5zI0AxoLAMA6Ul5eroaFBTqczaLmQz+cLfG6322PXMQAAomzwqkz+qlvLko4cGToK4XZLx46N7dpdXSaANDUNfdxuN8Hh2mvNR39buJAgAQRDYBgHnE5nYJQhmF27dgU+LywsvKzXcLvdqq6uDnzt9Xq1fv36y5oTAQBANNlsUm6uaR/60MDjx4+bPR7eemugvfee1Ns7tuv7fANLxA42a9bQAOEPFLm5UlLSlX5XQOIiMCQA/41+WVnZZY0wNDQ0aPXq1UMCg8fjUX5+vsrKyoY8Hq4jR46M+Hxra+uYrwkAwEjmz5fuv980v+5u6f33h4aIt96SLufP0JkzZn7F738/9PHp06UVKwbaypUDnzPwj8mAZVXHubq6OpWWlsrhcKipqWnMgcG/D0OwkYTKykpVVVWpurpaZWVlY7qubQxjtiyrCgCItbY2affu4aMR589H9nWys4MHifx8M4cCiKVoLatKYBjH/HswSFJTU1PEJzv792iw2+1qb28f07kEBgBAounvlw4flt59V3rnHfPR386ejexr2Wxm5aZlywbmaPhbfj4jE4gO9mEYRwZPQh6rsYwQlJaWSopOWJAGVl/y+XxBV2caSUtLy4jPt7a2as2aNVfUPwAAIikpSVq61LQHHxx43D/JenCA8AeKsSz5OphlmY3rQm1el5ExPEj4W26ulJp6ea8LRAOBYYz8ZTxXIpxBnaqqKu3ateuKwoLH45HL5VJxcfGok5s9Hs+YAgMjBgCAiWLwJOv77ht43LLMykx79kh79w5tHo/U13f5r9neHnwFJ8nsZJ2ba0YoFi8e2pYsMc/NnHn5rw2MFSVJ41BNTY1cLtdlzVkYbHC4CfZj9vl8ysjIkGRGMSK5A3S0hsQAABgPenrM/hHBwsRYl3+9HJmZocPEokVmgjijFJMPJUmTRENDg6qrq4OGhbq6OtntdhUVFYV1raysLEkKOaHZ4/EEPo9kWAAAYKJLTR2Y4HypM2ek/fsHRiIGt8OHzVyKK+X1mvbGG6GPmTtXWrBgoC1cOPTrBQvMpO3k5CvvDyY2AsM44na7VVlZqcbGxqAjCzt37lR5eXnY13M6naqoqJDL5Qr6fENDgySxFwMAABE0a5Z0442mXaqnx+xIfWmQ8Hik5mapszNy/Th50rSRQkVyspSTY8LD/PkmZMybZz4ObvPmmVENwsXkREnSOOHz+bR27Vpt3Lhx2JwFr9crn8+n0tLSYRu8eTwelZaWqrCwMOh+CqWlpXK5XEHnQeTn58vr9erAgQMR30GakiQAAMbGsszchuZmEyoOHx7e2tri17+kJGnOnKEhYu5cM0qRlWUCRWbm0M9nzmT37FiiJGkC8/l8KigokMfjUUFBQcjjgt30V1dXy+12y+12q7y8fFhpkcvlUnl5uSorKwOlTP5w4vV6Q45mAACA2LLZBm60V68Ofsz581JLS/Aw4W/d3dHpX3//wKhFuFJTB76nYIFi9mzT0tOHNv9jU6cSOMYDAsM48MQTTwyZTxBKsMCwfv161dXVyeFwBJ2H4HA4VF9fr8rKSrlcLnm9XmVmZqqoqChkqRIAABifpk83G8StXBn8ecsycxuOHRtoR48O/frYMen48Stb5SlcPT3SiROmXY7U1OEhIj3dlH1Nn27ajBmjf+7/eto0E0KmTpWmTKHEKlyUJCEqKEkCAGD86uszIwWDQ4V/9ODkSXOD7//c6413b6MnKWkgPPhbqK9TUszxSUkmaAT7PNhzNtvAKElpqVRcHL3vh5IkAAAARIR/snNOjjRCNbQkM0pw6tTwIDG4tbebYHH6tPkYi9GLSOjvly5cMC0WrroquoEhWggMAAAACCk1dSBchMOyzNKygwPE4Db4sY4OszKUv3V0mICC8YXAAAAAgIix2QbmGixdOrZzLUu6eHFogLj0844O6dw5MwHc/9HfQn3d1RWVb3XSIDAAAABgXLDZpLQ00+bOjdx1+/sHQkR39/B28eLoX/f1mev4P176+UjP+QXbmyMREBgQFb29vYHPW1tb49gTAACAofwTmuPhyJHoXXvwPdfge7ErRWBAVLQN2llmzZo1cewJAADA5NPW1qalY60JCyEpIlcBAAAAMCGxDwOioqurS7t375YkZWdnKyUluoNZra2tgZGMHTt2KCfcpRwQV/zcEhc/u8TEzy1x8bNLTLH+ufX29gaqPFatWqW0tLSIXJeSJERFWlqaVofa1z7KcnJy2CguAfFzS1z87BITP7fExc8uMcXq5xapMqTBKEkCAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhsXEbAAAAgJAYYQAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABBSSrw7AADAeFBZWSmPxyOfzye73a6NGzfKbrerqqpKO3fuVGZmpiSpuro6zj0FgNiyWZZlxbsTAADEU2lpqVwulxwOhySpuLg48NHhcKikpEQ1NTUqLy+Xy+VSRUVFPLsLADFFSRIAYFIrLy/Xhg0bAmFBkpxOpxoaGrRz506VlJRIMiMQkmS32+PRTQCIG0qSAACTls/nk9frldPpHPa4JK1fvz7wWGNjo7xer4qKimLZRQCIO0qSAACTlj8YXDpqkJ+fL4/HI/5EAgAjDACASSxYeZHP55PH4xk26gAAkxVzGAAAGKShoUHS0HIkAJjMCAwAAAyyadMmSQo6V8Htdse6OwAQdwQGAMCk5fP5VFdXN+Qx/wjDpSVJdXV1gecAYDJhDgMAYNLKy8uTz+dTU1OTnE6n6urq5PP5hiyx6lddXa36+vo49BIA4osRBgDApOTz+eTz+VRUVCSn0ymfz6fq6mrV1tYGdnz282/YBgCTEcuqAgAmrZqaGjU1NQW+drlcstvtqqmpUW1trRwOh7xe75BdoAFgsiEwAAAAAAiJkiQAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACGlxLsDwGRQWVkpj8ejzMxMeb1eFRcXq6ysLN7dAgAAGBWBAYiygoICORwO1dbWBh4rLi5Wc3OzXC5XHHsGAAAwOptlWVa8OwFMVJWVlaqqqlJ7e7vsdnvg8YaGhkBocDgc8esgAADAKJjDAERRXV2d7Hb7kLAgSUVFRZKk6urqOPQKAAAgfAQGJDS32638/Hz5fL6wjq+pqVFxcbHKy8tVWlqq0tJSud3uqPXP6/WO+HxDQ0PUXhsAACASmMOAhOR2u1VdXa2ampqwzyktLZXH41FjY2PgHX+Px6OCggK5XK6oTEIuLCwMGgr8Acfj8UT8NQEAACKJEQYklKqqKhUUFKi6ulqlpaXDSn1CqampUV1d3ZCwIEkOh0MbN25UeXl5VEYaKisrJWnYtTdv3hzx1wIAAIgGJj0joWVkZMjn8w2bVBzsuMLCQtXX1wd93mazqaioKOTzV6KqqkrV1dWqra2V0+lUXV2dvF6vysvL5XQ61dTUFPHXBAAAiBRGGDDhud1u+Xw+OZ3OkMc4nU41NDQMmwtRXFwsm80WdsvIyBh27YqKCtXX12vXrl2qqqqSw+EIlD8VFhZG9HsFAACINAIDoqqmpibsCcmSWVUo0nX9mzZtkiRlZWWFPCYzM1PS8EnI9fX1siwr7Nbe3h70+v6QUFFRIafTGShRKi0tjcS3CAAAEDUEBkRVU1OT1q5dG1ZoqKmp0WOPPRbxPvhDwEglS/7ndu7cGdHXdrvdysjIGDaHobq6WkVFRYHlVQEAAMYrAgOiqrq6WoWFhSooKBgxNFRVVamyslKNjY0R38jM/7r+UYRg/M+NZTQkHP5lVQeHlZqaGu3atWvIzs8AAADjFcuqIuqqq6tVXl6ugoICNTU1DXunv6qqSk888YSampqisuvxaHshXO6x4SgqKtKGDRtUWVkZCCV2u52JzgAAIGEQGBAToUJDtMPCeFBRURHvLgAAAFw2SpIQM/66fX950mQICwAAAImOEQbElH+kIS8vT5JiEhYyMzPl8/nCKjcaaZ4DAADAZMQIA2LObreHNRE5kq83mmCTkwEAAEBgQIxVVlaqrq5O7e3tKisrU15eXsT3XbiUf3O05ubmkMf4+7B69eqo9gUAACDREBgQM+Xl5aqrqwtMena5XCorK1NBQUFUQ0NxcbGkkZdM9T9XUlIStX4AAAAkIuYwICbKy8vV0NAwbFlVl8slSYHVk6Ixn8EfAi7dxdnP5/PJ4/HI6XRG/LUBAAASHSMMiLpQYcEvFiMNLpdLHo8n6PU3b94sSdq4cWNUXhsAACCRERgQVaOFBT+Xy6UNGzaMKTR4PJ5AKdGuXbtGPLaiokIlJSUqLi4eUprkdrtVWVkpl8vFCAMAAEAQNsuyrHh3AhNXVVWVysrKwl59qKamRkVFRSFLk+rq6vTEE08EXSY1MzNTdrtd69evD7lZWk1NjWpra+VwOOT1euXz+VRZWamioqIxfV8AAACTBYEBAAAAQEhMep4kLn1nXZI2bNhAGQ4AAABGRGCYBEpLS+XxeNTY2BgoDfJ4PCooKAhMOAYAAACCoSRpgqupqVF5ebna29uHzSOoq6tTaWmpmpqaGGkAAABAUASGCS4jI0OFhYWqr68P+rzNZlNRUVHI5y9XV1eXdu/eLUnKzs5WSgqDWQAAANHU29urtrY2SdKqVauUlpYWketyFzeBud1u+Xy+EUcPnE6nGhoa5PP5wl7JKBy7d+/WmjVrInY9AAAAhG/Hjh1avXp1RK7FPgwT2KZNmyRJWVlZIY/JzMyUFHoXZAAAAExujDBMYP4QMNLIgf+5nTt3qqSkJGKvnZ2dHfh8x44dysnJidi1g/m3nf+mq+dcrZtzb1ZaSmSG3wAAAK7Uxd6L+t2R32n3id364k1fjOprtba2Bio8Bt+LXSkCwwTm39HYP4oQjP+5wbsfh+PIkSMjPu+vn5OknJwcLVq0aEzXH4sTZ0/oW299S5YszUidoXvz79W6Fev00PKHNG/mvKi9LgAAQDAnz53U0/ue1pa9W7SteZvOdp+VJH2x+ItalB69e6LBIjl/lMAwgV26E3KkjpWk3NzcsXYnap7a95Qsmbn753rO6Vfv/0q/ev9XkqQ1C9fo4RUP6+EVD+u6edfJZrPFs6sAAGACsixLb598W1v2btGWvVv0+yO/D9ybDLZ171Z9vvDzcejhlSEwIOFt3bs15HM7ju7QjqM79LXnv6bc9FytW7FOD694WHfn3U3pEgAAuGwXey/qtwd/qy17t2jr3q061HFo1HMIDJhUWlpaRnx+cA1dtN219C6dOHdCr7W8FjTN+7V0tuj7u76v7+/6vmakzlBxfrHWLV+nh1Y8pPkz58ekrwAAIHGdPHdST+19KlBqdK7nXFjn2WTTTYtu0j1590S5h9FBYJjAMjMz5fP5wio3GmmeQzDRnJMwVl+66Uv60k1fUtu5Nj2z/xlt2btFz+1/Tme6z4Q851zPOf36/V/r1+//WpIpXVq3fJ0eXvmwrp93PaVLAABAlmVp98nd2rLHlBrtOLpjxDcnB5s5Zabuzb9XD694WA8uf1BzZ8yNcm+jh8AwgYWzr4I/TERyD4Z4yZ6RrU9f/2l9+vpPq7uvWy8eejHwD/yA78CI5/pLl/7Xb/9XoHRp3Yp1uifvHkqXAACYRLp6u0yp0Z4t2rpvqw53HA773CWzl5i5kysf1p1L7tTUlKlR7GnsEBgmsMLCQrndbjU3N4c8xuPxSFLENvYYL6YkT1GRo0hFjiL96/3/qvdOvRcID68deU39Vn/IcweXLk1Pna5iR3Fg1aWcWdFdHhYAAMTeibMn9NQ+U2pU31w/plKjDy76YCAkXJt97YSsUiAwTGDFxcWqqakZcclU/3OR3INhvLHZbLom+xpdk32NKm+r1Knzp/TMPlO69Oz+Z0csXTrfc16/2fMb/WbPbyRJqxesDkycvmH+DRPylwIAABOdZVl668RbgVWNdhzdEfa5M6fM1H359wVKjbJnRG6/g/HKZllWeIVYSEg2m00OhyPoKIPP51NGRoacTqeampoi+rpHjhwJLL3a0tIyruY8DOYvXdq6d6u27N0iT7sn7HMXpS/SuuUDpUvTUqdFsacAAOBKdPV26fkDzwdWNWrpHHkBl8GW2pcGlmm/Y8kd47bUKFr3XwSGCa6qqkqVlZVqbm6Ww+EY8lxNTY3Ky8vV1NQkp9MZ0ddNlMAwmGVZgdKlrfu26tWWV0csXRpseup0FTmKAgGC0iUAAOLv+NnjgVWN6j31Ot9zPqzzbLLp5tybAyHhmuxrEqKqgMCAy1ZaWiq3262mpqbA5Ga32621a9dqw4YNqqioiPhrJmJguNTg0qXnmp9T58XOsM8tXFCoh1c8rHUr1unG+TcmxC8ZAAASnWVZevPEm4E3/8ZSajRryizdt8yUGj2w7IGELDUiMOCK1NTUqLa2Vg6HQ16vVz6fT5WVlSoqKorK602EwDBYd1+3Xjr0UqDWcSylSwtnLQysurQ2by2lSwAARFBXb5e2H9geCAlHOo+EfW6ePS8wYfmOJXdoSvKUKPY0+ggMSCgTLTAMZlmW3j/1fqAG8pWWV8IuXZqWMk1FjiI9vOJhPbTiIS2YtSDKvQUAYOJpPdMaWNWowdMQdqlRki1JNy+6ORASrp5z9YSqAiAwIKFM5MBwqdPnTwc2jHt2/7NjKl0qyCkIlC45c5wT6pcWAACRYlmW3jj+RuDNup3HdoZ97qwps3T/svtNqdHyBzRn+pwo9jS+CAxIKJMpMAzW09ejlw6/FNjzobk99B4Yl1owa0Fgt+l78u7R9NTpUewpAADj24WeC6bU6A8h4eiZo2Gf68hwBCYs377k9oQvNQoXgQEJZbIGhsEsy9Ke03sC4WGspUtrHWtN6dLyh7QwfWGUewsAQPy1nmnV1r1btXXfVtU31+tC74WwzkuyJemW3FsCo/YTrdQoXAQGJBQCw3Cnz5/Ws/ufDZQudVzsCPtcZ45zSOlSki0pij0FACA2LMvS68dfD0xY3nVsV9jnpk9ND5Qa3b/s/gldahQuAgMSCoFhZP7SJf+Gcfu9+8M+N2dmTmC36bWOtZQuAQASyoWeC2o80BgICcfOHAv73PyM/MAbaJOp1ChcBAYkFAJD+PylS/7w8MrhV9Rn9YV1blpKmtbmrQ2surQonf/OAIDx59iZY6bUaO9WNXgaxlRqdGvurYGQcNWcqyZlqVG4CAxIKASGy+e94A2ULj2z75kxlS7dOP/GwFJxlC4BAOLFsiy5W92BN8OaWpvCPnf21Nm6f9n9WrdinR5Y9oCypmdFsacTC4EBCYXAEBk9fT16+fDLgV+4+7z7wj43Z2aOHlr+kB5e+bDW5q3VjCkzothTAMBkd77nvBo9jYFJy5dTavTwyod1++LblZqcGsWeTlwEBiQUAkN07Dm1J7C83MuHXx5T6dI9efcEhnQpXQIARMLRzqNDNlDr6u0K67wkW5JuW3xbYDnxlVkrKTWKAAIDEgqBIfoGly49u/9Z+bp8YZ97w/wbAuGhcEEhpUsAgLD0W/1DSo3cre6wz509dbYeWP6A1i1fpweWP6DMaZlR7OnkRGBAQiEwxFZPX49eaXklsOLE3tN7wz53/sz5pnRpxcMqchRRugQAGOJ8z3k1eBoCk5Zbz7aGfe6yzGWBDdRuW3wbpUZRRmBAQiEwxNfe03sD4eGlQy+FXbo0NXnqkNKl3Nm5Ue4pAGA8OtJ5JBAQGg80hl1qlGxLNqVGf1j+e+WclVHuKQYjMCChEBjGj/YL7Xp2/7Paum+rntn3jNq72sM+9/p51wfCw+qFqyldAoAJqt/qV9OxpkCp0evHXw/7XH+pkX8DNUqN4ofAgIRCYBifevt79crhVwJ/EPac3hP2ufNmzAusulTkKNLMKTOj2FMAQLSd6z43UGq0b6uOnz0e9rnLM5cHVjW6NfdWSo3GCQIDEgqBITHsO70vEB5ePPTimEqX7s67OzD6sHj24ij3FAAQCS0dLYFVjbYf2D7mUiN/SFiRtSLKPcXlIDAgoRAYEo+vy2dKl/Zu1dP7nh5T6dJ1864LhIc1C9dQugQA40S/1a9dx3YF3hx64/gbYZ9rT7PrgWUDpUYZ0zKi11FEBIEBCYXAkNh6+3v1asurgT8w7596P+xz586Yq4eWP6R1K9bp3vx7KV0CgBjzlxpt2btFT+17akylRiuyVgRWNbp18a1KSUqJYk8RaQQGJBQCw8Sy37t/SOlSb39vWOdNSZ6iu5feHVgtY4l9SZR7CgCTU0tHS+D39PYD23Wx72JY5yXbknX7ktsDo8SUGiU2AgMSCoFh4vJ1+fTc/ue0dZ8pXfJe8IZ97qq5q4aULiUnJUexpwAwcfVb/dp5dGcgJLx54s2wz81IywisanRf/n2UGk0gBAYkFALD5NDb36vXWl4L/MF679R7YZ+bPT1bD614SOuWm9KlWVNnRbGnAJD4znafNaVGe0yp0YlzJ8I+d2XWysCE5Vtyb6HUaIIiMCChEBgmp2ZvcyA8vHDohTGVLt219C6tW75OD698WEvtS6PbUQBIEIc7Dgd+rz5/4PmwS41SklJ0++KBUqPlWcuj3FOMBwQGJBQCAzq6OrSteZu27N2ip/c9rdMXTod97gfmfiAQHm5aeBOlSwAmDX+p0Za9W7Rl7xa9deKtsM/NSMvQg8sfNKVGy+6TPc0evY5iXCIwIKEQGDBYX3+fXjsyULr0btu7YZ87Z/qcIasupU9Nj2JPASD2znafVX1zfWBVo5PnToZ97lVzrgqMIlBqBAIDEgqBASPxtHsGSpcOvqCe/p6wzktNSjWlS39YdSkvIy/KPQWA6DjkOzRQanTweXX3dYd1XkpSiu5YckcgJCzLXBblniKREBhiqLOzU+npwd/FfP3111VZWamCggJt2LAh5HGTHYEB4eq82BkoXXpq71NjKl26NvvaQHj44KIPUroEYNzq6+/TzmM7tWWPKTXafXJ32OdmTsvUg8sf1Lrl6yg1wogIDDGUmZmpzs5O7d+/X0uXLg16zIEDB+RyufToo4/qnnvuiW0HEwCBAZejr79Pvzvyu8C7bu+0vRP2uVnTsobU7lK6BCDezlw8o3pPfeANkbbzbWGfe/WcqwOjCDfn3kypEcJCYIihzMxM+Xw+1dXV6SMf+ciIx37hC1/Q97///Rj1LHEQGBAJB9oPBMLDbw/+dkylS3cuvTMwcdqR4YhyTwHAOOQ7FJiw/NuDvx1TqdGdS+4MhIT8zPwo9xQTEYEhhj7/+c+rsLBQn/vc54Y83tnZqc2bN8vhcMjhMDcg5eXleu655+LRzXGNwIBI67zYOWRS4Knzp8I+95rsawLh4eZFN1O6BCBi+vr7tOPojkBIePvk22Gf6x8ZXbdine7Lv0+z02ZHsaeYDAgMMdTR0aHHH3982MhBVlaWfD7fkMcqKir0xBNPxLB3iYHAgGi60j/Qg3c45Q80gLE6c/HMkGWjx1JqxBsYiCYCQ4w1NjbqwIEDgVGGxx9/XDU1NXr00Udlt9vl8/lUXFysj370o3Hu6fhEYEAsHfQdHFK6dDmrjTy84mFKAACEdNB3MDBh+XJLJCk1QrQRGOLg8ccf18c+9jHdcMMNKiwsVFVVFROcw0RgQLxc6SRD/6pLTDIEJre+/j79/ujvAyFhrIswPLTiocCqRizCgFghMMSJf1LzsmXLtH///nh3J2EQGDAe9Fv9pnTpMpcxfGCZKV26f9n9lC4Bk8DgZZ6f3vf0mOZKscwzxgMCQ5x0dHSosrJS7e3t2rRpU7y7kzAIDBiPrmSjpNsX325Kl1Y+zEZJwARyoP1AYD7U5W4kuW7FOlZjw7hAYIiRAwcOaNmyZcrPz1dRUZGKioq0bds2ZWRkMLl5DAgMGO/Odp8dsurSyXMnwz53ZdbKQHi4JfcWSpeABOLf78UfEt5tezfsc+dMnxPY7+Xe/HspNcK4Q2CIoeLiYjU2NkqSbDabJMlut6u8vFxFRUXMYwgDgQGJpN/q186jOwM3EG+deCvsczPSMgKrLt2/7H52YAXGoc6LnXpu/3OBUqOx7ijvf4PgpoU3UWqEcY3AEAeNjY2qr69XQ0OD3G63pIEA4XQ6VVxcrLKyspC7QU9mBAYkssMdhwOlS9sPbA+7dCnZlqzbl9weWHVpedbyKPcUQCiedk9g/tKLh14cc6mRfwO1vIy8KPcUiBwCQ5x1dHSooaFB27ZtU2NjozwejyQpPz9f+/bti3Pvxh8CAyaKs91n1eBp0JY9pnTpxLkTYZ+7ImtFIDzcuvhWSpeAKOrt7zWlRn8ICe+dei/sc+dMn6OHlj8UKDWaNXVWFHsKRA+BYZzxBwhJ7MUQBIEBE1G/1a9dx3YFbkjePPFm2Ofa0+xDVl3KmJYRxZ4Ck0NHV4eeax4oNfJe8IZ97qq5qwKrGq1ZuIZSI0wIBAYkFAIDJoOWjpYhpUsX+y6GdV6yLVm3Lb4tUBe9ImtFlHsKTBz7vfsD/+5ePPSievt7wzpvSvKUIaVGS+1Lo9tRIA4IDLhibrdbpaWlampqkt1uj+prERgw2ZzrPmdKl/Zu0da9W8dUurQ8c3kgPNyae6tSk1Oj2FMgsfT29+rVllcDIeH9U++HfW729Gw9tMKUGhU7iik1woRHYMBlc7vdqq6uVk1NjSSpvb2dwABEUb/Vr6ZjTYFVl944/kbY59rT7Lp/2f16eMXDemDZA5QuYVLydfn07P5ntXXvVj2z/5kxlRpdN++6wCjCmoVrlGRLimJPgfGFwIAxq6qq0qZNm1RYWKjS0lKVlpbK5/MRGIAYO9J5JPDuaKOnccylS/4665VzVka5p0D87Du9L/Dv5KXDL42p1OievHv08IqH9dDyh7TEviTKPQXGLwIDrlhGRgaBAYizc93n1HigUVv2bNHWfVt1/OzxsM9dnrk8EB5uW3wbpUtIaL39vXrl8CuBkLDn9J6wz507Y67WLTc7LBfnF2vmlJlR7CmQOAgMuGIEBmB86bf65W51B1Zdev3462GfO3vq7IHSpeUPKHNaZhR7CkRG+4V2Pbv/WW3Zu0XP7H9Gvi5f2OdeP+/6QKnR6oWrKTUCgiAw4IoRGIDx7Wjn0YHSpQON6urtCuu8ZFuybl18q9YtX6eHVz6slVkrA5tMAvG259SewP/XLx9+WX1WX1jnTU2eOlBqtOIhLZ69OMo9BRIfgQFXjMAAJI7zPefV6GkMrLrUerY17HOXZS4LhIfbF99O6RJiqqevRy8ffjkQEvZ5w9/cdN6MeYGyuyJHkWZMmRHFngITD4EBVyySgeHIkSMjPt/a2qo1a9ZIIjAAV6rf6tfrra8HVl1yt7rDPtdfurRuxTo9sOwBZU3PimJPMVl5L3j1zL5ntHXfVj27/9kxlRrdOP/GQEgoWFBAqRFwBQgMuGKRDAxjKXcgMACRdbTzqJ7a95S27N2iBk9D2KVLSbYk3Zp7a+Dm7Ko5V1G6hMtiWZb2nN4TmH/zSssr6rf6wzo3LSVNa/PWat0KM2l5UTp/H4BIITDgihEYgInnfM95bT+wPbDq0rEzx8I+Nz8jPxAebl9yu6YkT4liT5Hoevp69NLhlwIhobm9Oexzc2bmBALC2ry1lBoBUUJgwBWjJAmY2CzLkrvVHagdb2ptCvvc9KnppnRp+To9uPxBSpcgSTp9/rSe3vd0oNSo82Jn2Oc6c5yBVY2cOU5KjYAYIDBMcD6f77LPDffmn0nPwORy7MwxPbV3oHTpQu+FsM5LsiXpltxbAjd7V8+5mtKlScKyLL136r3AiNWrLa+OqdSoyFEU2EBtYfrCKPcWwKUIDBNYZWWlqqqqruga4fwYCQzA5OUvXdq6d6u27t2qo2eOhn2uI8Ohh1c8TOnSBNXd160XD70YCAmedk/Y5y6YtSCwItc9efdoeur0KPYUwGgIDLhiBAYAknmD4fXjrwdKl3Yd2xX2uelT03Vf/n16eMXDlC4lsLZzbYFSo+f2P6cz3WfCPrdwQWFg9OnG+Tcy+gSMIwQGXDECA4Bg/KVLW/dtVX1z/ZhLl/zvMFO6NH5ZlqV32t4JjCK81vKaLIX3539ayjQV5xcHQuKCWQui3FsAl4vAgCtGYAAwmgs9F8yqS3/YMO5ySpfWrVinO5bcQelSnF3svagXDr0QCAkHfQfDPndR+qJAELx76d2aljoteh0FEDEEBlwxAgOAsbAsS28cfyOwYdzlli49sPwBzZk+J4o9hd/Jcyf19L6ntWXvFm1r3qaz3WfDPnfNwjWBkHD9vOsZLQISEIEBV8Tj8Sg/P1+SVF9fr6Kioqi+HoEBmHhaz7QGNowba+nSzYtuDow+XJN9DTejEWJZlnaf3B2Yj/L7I78Pu9Roeup03Zt/r9YtX6eHVjyk+TPnR7m3AKKNwIAxq6ur0xNPPCGfzyev1zvkuczMTNntdq1fv14VFRURf20CAzCxXei5oOcPPh8odznSOfLeLIPl2fMCm3jdueROTU2ZGsWeTjwXey/q+YPPB0LC4Y7DYZ+bm54bCG53592ttJS0KPYUQKwRGJBQCAzA5GFZlt488WZgB+Cdx3aGfe7MKTMD73I/uPxBzZs5L4o9TVwnz50M7KmxrXmbzvWcC+s8m2xas3CNWRZ35cNaNXcVozvABEZgQEIhMACTV+uZ1kAdfb2nXud7zod1nv/m1j/6MJnr6C3L0tsn3w7MHxlLqdGM1Bm6b9l9hDBgEiIwIKEQGABIA6VL/g3jWjpbwj7Xv1LPuhXrdE/ePRN+pZ6LvRf124O/DaxQdajjUNjnLpm9JFBqdNfSuyjzAiYpAgMSCoEBwKUsy9JbJ94y4WHf1jG9a+7fC+CRFY9MqAm6l7uqkU023bTopsAO3B+Y+4FJOxoDYACBAQmFwABgNCfOntAz+5/R1r1b9Vzzc2NeAvSRFY8kXF3+lYQm/3wP/wZqc2fMjXJvASQaAgMSCoEBwFhc7L2oFw+9GFj554DvQNjn+stxHl758LhcdclfavTknie1Ze+WMZVlLZ69ODCKQKkRgNEQGJBQCAwALpdlWXrv1HuB8PBqy6vqt/rDOnfWlFm6b9l9gXfh47VhnPeCV0/ve1pP7nlSz+5/Vme6z4R1nr/UyL+BWiKNngCIPwIDEgqBAUCknDp/Ss/se0ZP7n1Sz+1/Luyb7yRbkm7JvUUPr3hYj6x8RCuzVkbt5tu/tOzT+57W0/ue1mtHXgs75LC0LIBIITAgoRAYAERDd1+3Xjj4QqC8ZywrCTkyHHpw2YN6cPmDumvpXVe86tKZi2dU76kPhITWs61hn7vUvjSwqtF4LKMCkJgIDEgoBAYA0ebfq8AfHnYc3RH2BOK0lDTdvfRuPbT8IX3k6o8oZ1ZOWOf5unzasmeL6t6r03P7n9PFvothnWeTTR9c9EE9svIRPbziYV2TfQ2lRgAijsCAhEJgABBrx88eD+yGPNYN425bfJtKrynVR6/5qBbMWjDk+aOdR7WteZvq3qtTfXO9evp7wrqufynYD638kB5a/hClRgCijsCAhEJgABBPF3ouaPuB7YGdko+dORb2uYvSF+nqOVcrJSlF+737tc+7L+xzHRkOPbT8IT24/EHdueTOCb/ZHIDxhcCAhEJgADBe+CckP7PvGT29/+kxrbo0mtSkVN259M5ASFieuZxSIwBxE637r5SIXAUAgHHKZrPphvk36Ib5N2jD7RvUfqFd9Z56PbnnST2558mwV13ym5I8Rffl36eSa0r0yMpHZE+zR6fjADBOEBgAAJNKxrQMPXrto3r02kfV1dtl5ie8W6ff7PmNOi92Bj1n9tTZuifvHn306o9q3Yp1mp02O8a9BoD4ITAAACattJQ0PbLyET2y8hH19PXo/VPv6522d3TQd1CWZWnezHm6bt51unH+jUpOSo53dwEgLggMiIre3t7A562t4a9NDgDxlKEM3Wa/TbfZbxt4sF9qPcbvMQDj3+B7rsH3YleKwICoaGtrC3y+Zs2aOPYEAABg8mlra9PSpUsjcq2kiFwFAAAAwITEsqqIiq6uLu3evVuSlJ2drZSU6A5mtba2BkYyduzYoZyc8HZtRXzxc0tc/OwSEz+3xMXPLjHF+ufW29sbqPJYtWqV0tLSInJdSpIQFWlpaVq9enVcXjsnJ4d9HxIQP7fExc8uMfFzS1z87BJTrH5ukSpDGoySJAAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBIbtwEAAAAIiREGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIaXEuwMAAIwHlZWV8ng88vl8stvt2rhxo+x2u6qqqrRz505lZmZKkqqrq+PcUwCILZtlWVa8OwEAQDyVlpbK5XLJ4XBIkoqLiwMfHQ6HSkpKVFNTo/LycrlcLlVUVMSzuwAQU5QkAQAmtfLycm3YsCEQFiTJ6XSqoaFBO3fuVElJiSQzAiFJdrs9Ht0EgLihJAkAMGn5fD55vV45nc5hj0vS+vXrA481NjbK6/WqqKgoll0EgLijJAkAMGn5g8Glowb5+fnyeDziTyQAMMIAAJjEgpUX+Xw+eTyeYaMOADBZMYcBAIBBGhoaJA0tRwKAyYzAAADAIJs2bZKkoHMV3G53rLsDAHFHYAAATFo+n091dXVDHvOPMFxaklRXVxd4DgAmE+YwAAAmrby8PPl8PjU1NcnpdKqurk4+n2/IEqt+1dXVqq+vj0MvASC+GGEAAExKPp9PPp9PRUVFcjqd8vl8qq6uVm1tbWDHZz//hm0AMBmxrCoAYNKqqalRU1NT4GuXyyW73a6amhrV1tbK4XDI6/UO2QUaACYbAgMAAACAkChJAgAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQEoEBAAAAQEgEBgAAAAAhERgAAAAAhERgAAAAABASgQEAAABASAQGAAAAACERGAAAAACERGAAAAAAEBKBAQAAAEBIBAYAAAAAIREYAAAAAIREYAAAAAAQUkq8OwBMBpWVlfJ4PMrMzJTX61VxcbHKysri3S0AAIBRERiAKCsoKJDD4VBtbW3gseLiYjU3N8vlcsWxZwAAAKOzWZZlxbsTwERVWVmpqqoqtbe3y263Bx5vaGgIhAaHwxG/DgIAAIyCOQxAFNXV1clutw8JC5JUVFQkSaquro5DrwAAAMJHYEBCc7vdys/Pl8/nC+v4mpoaFRcXq7y8XKWlpSotLZXb7Y5a/7xe74jPNzQ0RO21AQAAIoE5DEhIbrdb1dXVqqmpCfuc0tJSeTweNTY2Bt7x93g8KigokMvlisok5MLCwqChwB9wPB5PxF8TAAAgkhhhQEKpqqpSQUGBqqurVVpaOqzUJ5SamhrV1dUNCQuS5HA4tHHjRpWXl0dlpKGyslKShl178+bNEX8tAACAaGDSMxJaRkaGfD7fsEnFwY4rLCxUfX190OdtNpuKiopCPn8lqqqqVF1drdraWjmdTtXV1cnr9aq8vFxOp1NNTU0Rf00AAIBIYYQBE57b7ZbP55PT6Qx5jNPpVENDw7C5EMXFxbLZbGG3jIyMYdeuqKhQfX29du3apaqqKjkcjkD5U2FhYUS/VwAAgEgjMCCqampqwp6QLJlVhSJd179p0yZJUlZWVshjMjMzJQ2fhFxfXy/LssJu7e3tQa/vDwkVFRVyOp2BEqXS0tJIfIsAAABRQ2BAVDU1NWnt2rVhhYaamho99thjEe+DPwSMVLLkf27nzp0RfW23262MjIxhcxiqq6tVVFQUWF4VAABgvCIwIKqqq6tVWFiogoKCEUNDVVWVKisr1djYGPGNzPyv6x9FCMb/3FhGQ8LhX1Z1cFipqanRrl27huz8DAAAMF6xrCqirrq6WuXl5SooKFBTU9Owd/qrqqr0xBNPqKmpKSq7Ho+2F8LlHhuOoqIibdiwQZWVlYFQYrfbmegMAAASBoEBMREqNEQ7LIwHFRUV8e4CAADAZaMkCTHjr9v3lydNhrAAAACQ6BhhQEz5Rxry8vIkKSZhITMzUz6fL6xyo5HmOQAAAExGjDAg5ux2e1gTkSP5eqMJNjkZAAAABAbEWGVlperq6tTe3q6ysjLl5eVFfN+FS/k3R2tubg55jL8Pq1evjmpfAAAAEg2BATFTXl6uurq6wKRnl8ulsrIyFRQURDU0FBcXSxp5yVT/cyUlJVHrBwAAQCJiDgNiory8XA0NDcOWVXW5XJIUWD0pGvMZ/CHg0l2c/Xw+nzwej5xOZ8RfGwAAINExwoCoCxUW/GIx0uByueTxeIJef/PmzZKkjRs3RuW1AQAAEhmBAVE1Wljwc7lc2rBhw5hCg8fjCZQS7dq1a8RjKyoqVFJSouLi4iGlSW63W5WVlXK5XIwwAAAABGGzLMuKdycwcVVVVamsrCzs1YdqampUVFQUsjSprq5OTzzxRNBlUjMzM2W327V+/fqQm6XV1NSotrZWDodDXq9XPp9PlZWVKioqGtP3BQAAMFkQGAAAAACEREkSAAAAgJAIDBOcx+NRcXGxampqhswN8Hg8qqurU2lpadT3QQAAAEDiYlnVCc7n86mhoSHkkqIulysqS5kCAABgYiAwTFJOp1MbN26M2spAXV1d2r17tyQpOztbKSn8rwYAABBNvb29amtrkyStWrVKaWlpEbkud3GTQElJSWAfgszMzJgsH7p7926tWbMm6q8DAACA4Xbs2KHVq1dH5FoEhknC4XBQegQAAIAxIzAgKrKzswOf79ixQzk5OXHsDQAE13qmVcfOHNNS+1JlTc+Kd3cA4Iq0trYGKjwG34tdKQIDomLwnIWcnBwtWrQojr0BgOH+5rm/0b/87l8kScm2ZH1z7TdVcWvwTR8BINFEcv4ogWGScLvdqq6uDnzt9Xq1fv16lZSUxLFXABAfLx56MRAWJKnP6tOGxg36xKpPaFE6b3AAwGAEhkmgoaFBq1evHhIYPB6P8vPzVVZWNuTxcB05cmTE51tbW8d8TQCIBcuy9LXnvzbs8X6rX3Xv1ukvP/iXse8UAIxjBIYJzuFwaOPGjcNGEhwOhyoqKlRVVaWCggKVlZWN6bq5ubmR7CYARETnxU49uedJHWg/oNzZufr4Bz6uqSlThxyz4+gOvXjoxaDnb35nM4EBAC5hsyzLincnEB9ut1sFBQWy2+1qb28f07k2my3sY1taWpjDAEwS/Va/evp6ht2kX6qnr0fvtL2jMxfPaKl9qXJnh34T4rWW1/TL936p0xdOa1nmMn36+k8HLRt66dBLWl+3Xq1nB0Y4C3IK9OuP/XrI8X/+1J/r+7u+H/L1jvzVES1MXzhi/wFgPDpy5EjgTd1I3n8xwjCJ+ZdZ9fl8crvdY9qfoaWlZcTnB8/Sj5Wu3i55L3h1+vxpHT1zVEc6j+jMxTOSpOSkZM2dMVfzZszT/JnzNXfGXHX3dct7watjZ46ppbNFvi6fJCklKUXZ07M1b6Y5dt6Meerp79Hp86fVerZVLR0t8l7wymazKdmWrDnT55jjZs7TvBnzZMnSqfOn1HqmVS2dLTp9/nSgD3Omzwn0Yf7M+bLZbEOOPXnupDnWlqzMaZmaP3O+cmblaP7M+UpJSgkce6jjUODYJFuSMtIyAsflzMzR1JSpajvXptazrTrccVitZ1plyQoc679uzswczZgyQ23n2nTszDEd6jikY2eOqd/qV0pSimZPna2cWTlaMGuBcmbmaNbUWUOObeloUZ/Vp2RbstKnpmth+kItmLVAC2ctlD3NrpPnTurYmWM64Dugwx2H1dPXo9TkVM2eOlt5GXnKz8jXwvSFsixL53vO64DvgJq9zTrgO6Duvm6lJqUqfWq68jPzlZ+RryX2JZKk8z3n5Wn3aL93v5q9zfJ1+TQ1ZaoWpS9SbnqulmUuU15GnlKTUnXq/Ckd7jisfd592nd6n05fOK0pyVOUm56rpfalWpG1Qo4Mh1KTU+Xr8ulA+wHtOb1H7596X6fOn1KyLVlL7EvkyHDoqjlXKT8jX6nJqTrXfU7N7c16t+1dvXPyHR0/e1zJSclaal+q5ZnLdU32NVqetVwpSSm62HtR+737tfvkbr15/E0dPXNUNptNDru55qp5q7Qya6WSk5LV29+r/d79er31dblb3TrYcVB9/X1aOGuhrpt3nW5adJOuzb5WyUnJkqQjnUf0yuFX9GrLq9rn3aee/h4tnLVQBTkFumPJHVo1b5WSbEmSpBNnT+j5g89r+4Ht2n1yt7r7upWbnqs1C9fovvz7dGPOjYFjvRe8embfM9qyd4t2Hdulrt4uLZ69WLctvk0fvfqjWrNwTeCNg86Lnfrvd/9bP939U7106CX19Pdo3ox5Ks4v1p/d8Ge6a+ldgWPbzrXp269+W//xxn+o7Xxb4N/v6gWr9Y27vqEHlj8QeOxo51GVbS3T0/ueHvJv/e9++3f6x3v+UV+55SuB6z5/4Hnd/7P71d3XPeTYptYmFf+kWE1lTZqeOl0Xey/qF2//YsTfJW8cf4PAAACDMMIwgXk8HrlcLhUXFwed3Ozz+ZSRkSFJqq2tjegE6Ggl3GD+8cV/1Ddf+qYu9F6I2msgMaUkpai3v3fU45JtyZqSPCWs/4dSk1I1Y8qMQMAcydTkqbKn2dV2vk39Vv+Ix05LmaZ5M+fp2Jljw256LzVzykwttS/VqfOndPzs8RGPtafZdU32NWo716Z93n0jHps9PVs3LbpJbefatOvYLvVZfSGPzU3P1VrHWrVfaNdzzc+pq7cr5LErslbo0WseVcfFDv3o9R/pXM+5kMeuW7FOf3nTX+qg76C+Uv8VtXeFHv38zA2fUfW6ar114i3d/V9362z32ZDH/vUH/1rfue872vzOZq2vWz/kuYWzFuromaOBr79d/G39zS1/E/JaADBeRev+i8AwgVVWVqqqqkqSmeR3qcGBoampKaI7QMcyMHzr5W9pQ+OGqF0fwPiVkZahjosdowYym2x69bOvqqK+Qi8dfinw+J1L7tSyzGX64es/DDz2uRs/p42PbIxanwEgWqJ1/5UUkatgXMrKMpsQhZrQ7PF4Ap9HMizEWua0zHh3AcBlsim8+VDzZszTPXn3DDu+vat9WFgouaZEb3/hbU1NHphHYcnSzT+8eUhYkKTPF35eV825ashj759+fyzfAgBMeMxhmMCcTqcqKirkcrmCPt/Q0CBJCb8XQ9a04buzzpk+R7npuZozfY5sNpu6ert04uwJnTh3YlgpSea0TOWm5yp7RraSbEm62HtRJ8+d1PGzx4eVQ2SkZSh3dq7mzZgnm82m7r5unTx3UifOntDpC6eHHDt76mwtnr1Y82fOV5ItSd193Wo736bjZ4/r1PlTQ45Nn5qu3PRcLZi1QMlJyeru6w6Um7Sda5OlgRGiWVNmKXd2rhbOWqiUpBT19PcE5jacPHdyyLEzUmcod3auctNzlZqcqt7+3sCxJ86dGHKjNS1lmhbPXqzFsxdraspU9fT94bpnW3X87PEhx05Nnqol9iVaMnuJpqVOU09fj7wXvDp65qhaz7QOKWWZkjxFS2YvUV5GnqanTldPX49OnDshT7tH3gveIf8dUpJStGS2mS+QPjVdPf09OnH2hJrbm4f9N0uyJWmpfamWZS7T/Jnzdbb7rFo6WnTAdyDosbnpuVo5Z6UWzlqo8z3ndbjjsJrbmwNzQfxssil3dq6unnO1lsxeoq6+Lh1oP6C9p/fqxLkTulRueq6unXut8jPyzVyF9v16/9T7QUuFFsxaoOvmXaer51yt3v5e7Tm9R2+ffFvHzhwbduy8GfNUsKBA1829TilJKdrr3asdR3fooO/gsGPtaXbdknuLblp4k9JS0vTeqff00qGX1NzePOzYmVNm6s4ld+qupXdp9tTZevPEm9rWvC1ouVJaSpqKHEVat3ydFsxaoN8f/b3q3q3TntN7hh2bkpSiB5Y9oE+s+oSunnO1nj/4vKqbqvX+qeE330m2JH3quk/pq7d9VfmZ+frJmz/R442PD/tZ+H3sAx/T/33w/ypzWqZ+8/5v9IlffkLne84HPbbIUaSffvinmpoyVd+46xt6vPHxoMdJ0vyZ8/WRqz+ibc3bhjwerM8AMJlRkjTBlZaWyuVyBSY4D5afny+v16sDBw7IbrdH9HVjWZJ0+vxp7fPuU+a0TGVOy5Q9za6UpNBZuKu3S6fOn1JaStqox17svai2821KTUpV5rRMpSanhjy2p69HJ8+dVHKSmbA8JXnKiMe2nW+TZVmaM33OiCvK9Pb36uS5k+rr71P2jGylpaSNeGzbuTZ193Ure0a2pqdOD3lsX3+fTp47qa7eLmXPyNbMKTNHPLbtfJvOdp9V9vRspU9ND7lSlv/Yjq4OzZ0xV/Y0e8hjfV0+tZ1rU0pSiqYkT9G8mfNC/jx8XT4dP3s8cOz8mfND/jf2dfl0uOOwuvu6NXfGXC2YtWDE6x5oPxD475Cbnhvy5+G94FWzt1nne85rzvQ5cmQ4NC11WtBjT58/rT2n9+hs91llTcvS8qzlSp+aHvTYk+dO6p2T76jzYqcypmXomuxrNGf6nKDHnjh7Qk2tTfJ1+TRzykwtz1yulXNWBiYrD3a086hebXlVpy+c1vTU6bpqzlW6cf6NQf8/9rR7tP3Adp04e0JpKWlaNW+Vblt827D/hyzL0jtt7+jJPU/qcMdhTU2eqoIFBXpg2QPKnpE97NiXDr+kH7/5Y+3z7lNqUqpuyb1Fn7ruU1qRtWLIsR1dHfru77+r/3zzP+Vp9yjZlqxbF9+qv/rgX+mPrvqjIce+cfwNfeK/P6H3Tr035PEPX/Vh/fjDPw78v9zb36ubf3izdh3bFfS/5T/e/Y/62zv+Vvu9+7X8e8uHPNf2lbaQPwMAGK+Yw4DL4vF4VF5ersrKShUVFUkycxfWrl0rj8ejxsbGqJQjxTIwAJhYunq7lGRLGjV0175bq98d+Z2mJE/Rg8sf1D159ww7br93v2754S1DVmSSpJsW3qQX//RFTUmeot7+Xs345owhk81f+tOXdNvi2yL3TQFADBAYcEUqKyvldrvl9XqVmZkpp9MZslQpEggMAMaLN46/oUd+/ohaOs1y0NdmX6tnP/XskL0Zrvm/1wwZsfjxH/1Yf3z9H8e8rwBwJdiHAVckmuEAAMazG+bfIM9feHSg/YCSbEnKy8gbVsKVOzt3SGAYvMwqAEx2BAYAwISXkpSi5VnLQz6/YNaCIV8Hm4gOAJMVy6oCACa9hbOG7uzMCAMADCAwAAAmvWGBoZPAAAB+BAYAwKRHSRIAhEZgAABMegvTh44wtJ5tHbaDNABMVgQGAMCkd+kIg38TRAAAgQEAAM2bMU/JtuQhjzHxGQAMAgMAYNJLTkrW/JnzhzzGxGcAMAgMAABoeFkSIwwAYBAYAACQlDMrZ8jXJ8+djFNPAGB8ITAAACApe3r2kK+Z9AwABoEBAAAFCQznCQwAIBEYAACQJGXPIDAAQDAEBgAAREkSAIRCYAAAQIwwAEAoBAYAADR8hOHU+VOyLCtOvQGA8YPAAACAho8w9Pb3ytfli09nAGAcITAAAKDhIwwSZUkAIBEYAACQJE1LnaYZqTOGPMbEZwAgMAAAEHBpWRK7PQOAlBLvDiA2ampqVFtbK4fDIa/XK0nasGGDnE5nnHsGAOPH3BlzddB3MPA1JUkAQGAYZuPGjfJ4PNqwYYPS09Pj3Z2IKC0tlcfjUWNjo+x2uyTJ4/GooKBALpdLZWVl8e0gAIwT7MUAAMMRGC7x2GOP6cCBA6qoqFBGRobKy8u1dOnSeHfrstXU1Kiurk7t7e2BsCBJDodDGzduVGlpqQoLCxlpAACxFwMABMMchiDy8vL0gx/8QGVlZfrWt76l9evXa/v27fHu1mWprKxUUVHRkLDgV1JSEjgGABBkhIHAAAAEhpH4g0NNTY2ampp033336Tvf+Y46Ozvj3bWwuN1u+Xy+EUcPnE6nGhoa5PP5YtcxABinKEkCgOEIDGFoamqSZALEP/3TPykjI0OrV6/Whg0b9Mtf/lIHDx6MbwdD2LRpkyQpKysr5DGZmZmSpIaGhpj0CQDGM0qSAGA4AkMIb7zxhu69916tXr1abrdbRUVFcrlc8nq96uvrU0NDg4qKirRt2zYVFRUpKytL9913n/793/993IxA+ENAsHIkP/9zO3fujEGPAGB8Y4QBAIZj0nMQn//857Vx40ZVV1frc5/7XNBjZs+erbVr12rt2rWSpAMHDqihoUG7du1SU1OTvv/978eyy0H5y4z8owjB+J8ba0nSkSNHRny+tbV1TNcDgPEg2AiDZVmy2Wxx6hEAxB+B4RKPP/64Nm7cqIqKipBhIZi8vDw99thjeuyxx6LYu7Hx77cQ6WMlKTc3d6zdAYBx79IRhu6+bp3pPqP0qRNjmW0AuByUJF2ipqZGklReXh7nngAAYu3SEQaJsiQAYIThEj6fTzabLaH3XoiFlpaWEZ9vbW3VmjVrYtQbAIiMGakzlJaSpq7ersBjJ8+dVH5mfhx7BQDxRWC4xNq1a7V9+3YdPHgw4UNDZmamfD5fWOVGI81zCGbRokWX2y0AGLdsNpvmzpirwx2HA4+xUhKAyY6SpEu4XC5ZlhUoTUpkI62O5OcPE+EcCwCTASslAcBQBIZLOJ1Obd68Wd/61rf05ptvxrs7V6SwsFCS1NzcHPIYj8cjSVq9enVM+gQA4x17MQDAUASGIEpKSrRt2zZ99KMf1be//e14d+eyFRcXSxp5yVT/cyUlJTHoEQCMf4wwAMBQBIYQioqKtH//fs2ePXvc7uQ8Gn8ICLWLs8/nk8fjkdPpjGW3AGBcGxYYGGEAMMkRGEbx2GOPJfTkZ5fLJY/HEyg9Gmzz5s2SpI0bN8a6WwAwblGSBABDERgmuIqKCpWUlKi4uHhIaZLb7VZlZaVcLhcjDAAwCCVJADAUy6pOArW1taqpqVFpaakcDoe8Xq98Pp9qa2tVVFQU7+4BwLjCCAMADEVgmCTKyspUVlYW724AwLjHCAMADEVJEgAAg1w6wnCh94LOdZ+LU28AIP4IDAAADHLpCIMknTx3Mg49AYDxgcAAAMAg6VPTNSV5ypDHmMcAYDIjMAAAMIjNZmMeAwAMQmAAAOASrJQEAAMIDAAAXIIRBgAYQGAAAOASjDAAwAACAwAAlxg2wkBgADCJERgAALgEJUkAMIDAAADAJebOmDvk6+Nnj8epJwAQfwQGAAAusWDWgiFfHztzLE49AYD4IzAAAHCJhekLh3x94twJ9fb3xqk3ABBfBAYAAC5x6QhDv9WvE2dPxKk3ABBfBAYAAC4xZ/ocpSalDnns6JmjceoNAMQXgQEAgEsk2ZKGjTIc7SQwAJicCAwAAATBxGcAMAgMAAAEcenEZ0qSAExWBAYAAIJYOGtoYGCEAcBkRWAAACCIYXMYQoww9Fv9siwrFl0CgLggMExgHo9HxcXFqqmpkcfjGfJ4XV2dSktLhzwOABhw6QjDkc4jQ74+231W6+vWa9o/TVPKP6Torv+8S4c7DseyiwAQEynx7gCix+fzqaGhQQ0NDUGfd7lccjgcMe4VACSGJfYlQ772tHvU29+rlKQUWZalzz75WW1+Z3Pg+RcOvaCiHxfp5T97WXNnzB12vcMdh1XfXK8LvRd008KbVLigUDabLerfBwBcKQLDJOR0OrVx40Y5nc54dwUAxq2r5lw15Ovuvm4d9B3Ussxl+slbPxkSFvz2effpU7/8lJ771HOBMNDX36e/f+Hv9cTLT6invydw7P3L7tfGhzdqUfqiIdd4t+1d/Z8d/0eNBxp1sfeirppzlf7k+j/Ro9c+quSk5CHHnu0+q617t+qVw6/oYt9FLbUv1boV63TdvOuG9a3f6pe71a2mY0260HtBOTNzdMeSO5QzKyfo99/S0aK3TrylC70XNGf6HDlznEqfmh702M6LnXr/1Ps6131OWdOzdE32NUpJCn6L4f/veLb7rGZPna28jDwl2UIXPLSda5P3glezps5SzsycEUPW2e6z8l7wakbqDGVOyxzx2J6+HrV3tSstJS3k9+XXb/Wro6tDU1Omanrq9FGP7ert0rSUaWEHQsuyCI8TnGVZ6unvkU02pSanjn7COENgmOBKSkrkcrnk8XiUmZlJSACAMM2ZPkdZ07J0+sLpwGPvn3pf+Rn5cr3iCnlevadeP3r9R/qs87OyLEtffPqL+kHTD4Yd9+z+Z7Vm4xo9+fEnVbigUL39vXK97NLfvfB36u3vDRx3qOOQnmt+Tq5XXPruA9/VHUvu0Lnuc/o/O/6Pql6tkveCd8h1/3b73+qW3Fv0Nzf/jR5a/pBOnjupn+3+mWqaanTAd2BYP+5ccqf++Lo/1u1LblfnxU49t/85bX53s9468daQ45JsSbp98e360MoPqXBBoc50n9GLh17U9gPbtevYLlkamMcxI3WGbs69WXcvvVvXZl+r7r5u7Ti6Q68eeVU7j+4cEpzSp6arcEGhbl50s66ec7V6+3v11om35D7u1tsn39ap86cCx9rT7Lph/g26NvtaXTXnKk1JnqL3T72vt068pfdOvTdkYnrWtCx9YO4HdNWcq7Qsc5mmpUzTQd9B7Tm9R++fel+edo/6rD5JUkZahlZkrdDyrOVakblCM6fM1NEzR7Xfu1/7vfvV3N6srt4uSVLmtEzlZ+QrPzNf+Rn5mpo8VafOn5LH59F7be/poO+g+qw+pSSlKHNappbal+rqOVdrqX2pJOn0+dM63HlYe07tUUtniy72XlSf1aesaVlaYl+ipfalWjJ7iWZOmSnvBa+Onjmqvaf3qqWjRRf7Lqq3v1eZ0zKVm56rxbMXa/HsxUqfmq72C+1qPduq5vZmHfIdUndft3r7ezU7bbYWpS9SbnquFqUvkj3NLl+XTyfOnZCn3aPDHYfV1dulvv4+zZo6SwtnLdTC9IVaOGuhMqdlqqOrQ23n23TQd1CHOw7rQu8F9fX3acaUGVowa4EWzlqoBbMWKGtaljovdurUhVM65Ds05NhpqdOUMzNHC2YtUM6sHM2ZNkdnu8/q9IXTOtxxWIc7Dut8z3n1W/2amjJV82fOV87MHOXMylH29Gyd6z4nb5dXLR0tOtxxWGe7z8qSpdSkVM2fOd8c/4djL/RckLfLq6OdR3W447DOdJ+RZVlKSUrRvJnzAsfPnT5XXb1dau9q17Ezx3S447A6LnYEjp07Y27g+Hkz5qmnr0feLm/gWF+X7/9v787D27ruO/9/SFG7LIGkKJnWDsmWl8gLSMlbEi8CY9eW3SYlrXZ+bdNpbLJNJu2kTckoT9tpJ21VME+3NDMNwDR9Opl2RibTaSJlM8A4iWM7EQV4jaNYJmSJkqgVvJK1Wdv9/XF8AYLEJUGKIADi/XoePBJxz708xOFyPzjfc2/y56JmTo1pN2+xFs9drCv2FSXOmbZ9p/p07Mwxnb14Vpfty/ryY1/Wx3wfc/39UajKbFZqTVmxWExbt25VZ2fnpH/uAwcOaNmyZZKkvr4+LV26dJQ9AKDwvP8r79fzfc8nP/58w+dVV1unB//XgyPuN3/mfL3x8TcUjAb1uR9+bsS2sytm66O3fVTR/qh6DvWM2qc1VWt0+PRhnb5wOrsvAkDB+MLDX9An7/xkzo6fq/MvZhgAAHBx48Ib0wLD7uO7tfPgzrQ2a6vX6q8/9Nfa9H82JZ879e4pLf3b7P5Qn7t0LuMMhJu3Em9l3RZAYTl78Wy+uzAuXCUJAAAXQ9cxvND3gr7+86+nPffx9R/Xozc8qt+47TdGPFZ5Wbk6mzqVaE3owVUjz1CUl5XrU3d9Sv/jkf+h9y1636j99Hv9evKOJ4dd2SmTNVVrdP/K+0et25ekBTMX6IbqGzS9fPSa62ll01Q9u3rUdo5sjglMNcUaGJhhKAGxWEzBYDD5cSKR0ObNm9XY2JjHXgFA4RsaGH52/GdpH8+YNkO/fuuvS5L+9qG/Vbg3rP7T/RmP9aVHv6TGm83v3e/8f9/RJ7/9SQWjwWHt1lSt0Vc//FXdtfQuSVJzXbO+tOtL+rMf/FlaPX+ZyvTI9Y/oz+7/M9VdVyfJLOTtfKNTX/jJF7Tz4M7kuoLKWZX6xRt/US11LbpzyZ0qKyvTu5fe1Tf3fFNfffWr+uG+HybXQtxQfYP8q/za/L7NunfZvZpWPk1nL55VJB7R13d/XS8eeFH7T+7X9GnTdXPNzXpg5QN6YOUDunf5vZpVMUtHzxzVj/b/SN9/+/vadWiX+k71qaK8Qmuq1ujupXfrnmX36M4ld6pydqUOnjqonkM9+vGBHyvWH9PBdw6qvKxcKxasUF1tne6ovUO31Nyi5QuW6/Dpw3r58Mt69cir2n1it95KvCXbtrVk/hLdtvi25HqFpfOX6sTZE3r96Ot649gb2pPYo/hAXFfsK6qZW6Mbq2/U2oVrtbZ6rVZ4Vuj0hdPac2KP9iT26M0Tb6p3oFcXL19U9ZxqralcozVVa3R99fVavmC5zl08p/hAXL0DvYoPxBUfiMuWrYWzF+raedfqppqbtLZ6ran9f/ekjpw+ojdPvKndx3fryJkjkszaipq5NVpbvVZrqtZo3ox5Kisr06F3DmmftU/7TprHhcsXVDWrSgvnLEyul7hm5jUqLyvXkdNHtP/kfvWd6kvW/1fNrlL17Gqtqlwlb6VX82fOV3lZuY6dOaYDpw7owKkD6jvVp9MXTsszy5NcXzG4beKcqf0/cOqADr5zUCffPSnPTNN22YJlWulZqQUzF6i8rFwn3z2pQ+8cSj4Gzg9o/oz5qpxdqaXzl2qlZ6UqZ1WqvKxcp949pf7T/cm2iXMJzZ85X5WzKnXdNddphWeFPLM8mlY2TWcunlH/O/3qP92v/nf6dfzccV0z4xpVzqpU7TW1Wr5guapmV6m8rFxnL57V4dOHdfj04WTbORVzVDm7UovnLtYKzwpVz65WeVm5zl86ryNnjqj/nX4dPn1YR88e1eyK2aqaXaVFcxdp+YLlWjhnocrLynXh8gUdOX1Eh08f1pEzR3TkzBHNnDZTVbOrVDOnRssWLNOiuYuSbY+eOZrWfnr5dFXOrky2ve6a6zRvxjzNmT4n4xXUigFrGKawWCymjRs3asuWLWptbU0+H4/HtXr1ajU3N6cFibE4cODAiNv7+/u1YcMGSaxhAFC89p/crxV/t8J1e+PNjepsSq0Te/XIq9r0b5vUd6ov+dzMaTP1xUe+qCd9Tw7b/4W+FxSMBvVW4i1VzqrUL934S/r1W39dMytmDmt78fJFPbf/OcUH4po3Y54+sPwDWjLffUbBOm9p/8n9ml0xW95K77ArLA1m27bOXDyj6eXTM35uAMUhV2sYCAxTmHMfhkwzCW1tbWpvb1cwGFRzc/OYjz2Wy78RGAAUs7pQnWL9sYzbvvEr39Bjax9Le+7YmWP6ux//nfad3KflC5bro7d9VGsXrp2MrgIocQQGTKhYLKa6ujp5PB4NDAyMeX8CA4BSEfhRQJ/p/syw59dWr9VPP/7TEd+5B4DJxFWSpjjLssa9r8fjGfM+zh2eLctSLBYb8/0Z+vr6Rtw+uCQJAIpZ0y1NGQPDn97/p4QFACWBwFAAnPKgqzF0oigejysQCKihoWHUxc3xeHzMgYEZAwClwlvp1X9Z/1/0xZ4vJp975PpH9MQtT+SxVwAweShJmqIGh5BMQ2xZliorKyVJ0Wh0wu8A/fbbb2vVqlWSpJ07d6q2tnZCjw8Ak8m2bb18+GXtSezR4rmLddfSu1gcDKDgDK7w2Lt3r1auXDkhx2WGYYqqrjbXwnZb0ByPx5P/n+iwIEnHjh1L/p/SJAAAgMl17NixCQsM3LhtivL5fGptbXW9bGokEpEk7sUAAACAEVGSNIU1NTUpEAgkFzgPtnr1aiUSCe3du3dci6ZHc/78eb322muSpJqaGlVU5HYya/AUHCVQxYNxK16MXXFi3IoXY1ecJnvcLl26lKzyWLdunWbNmjUhx6UkaQoLBAJqaWlRW1ub/H6/JLN2YePGjUokEuru7s5JWJCkWbNmaf369Tk59mhqa2tZlF2EGLfixdgVJ8ateDF2xWmyxm2iypAGoyRpCvN6vQqHwwqHw2poaFBdXZ2amprk9/s1MDCQk7ULAAAAmFqYYSgBgUAg310AAABAkWKGAQAAAIArAgMAAAAAVwQGAAAAAK4IDAAAAABcERgAAAAAuOLGbQAAAABcMcMAAAAAwBWBAQAAAIArAgMAAAAAVwQGAAAAAK4IDAAAAABcERgAAAAAuCIwAAAAAHBFYAAAAADgisAAAAAAwBWBAQAAAIArAgMAAAAAVwQGAAAAAK4IDAAAAABcERgAAAAAuCIwAAAAAHBFYAAAAADgisAAAAAAwFVFvjsAAEAhaGtrUzwel2VZ8ng86ujokMfjUXt7u3p6elRVVSVJCgaDee4pAEyuMtu27Xx3AgCAfGpqalIgEJDX65UkNTQ0JP/1er1qbGxUKBRSS0uLAoGAWltb89ldAJhUlCQBAEpaS0uLtmzZkgwLkuTz+RSJRNTT06PGxkZJZgZCkjweTz66CQB5Q0kSAKBkWZalRCIhn8837HlJ2rx5c/K57u5uJRIJ+f3+yewiAOQdJUkAgJLlBIOhswarV69WPB4XfyIBgBkGAEAJy1ReZFmW4vH4sFkHAChVrGEAAGCQSCQiKb0cCQBKGYEBAIBBtm3bJkkZ1yrEYrHJ7g4A5B2BAQBQsizLUldXV9pzzgzD0JKkrq6u5DYAKCWsYQAAlKxVq1bJsixFo1H5fD51dXXJsqy0S6w6gsGgwuFwHnoJAPnFDAMAoCRZliXLsuT3++Xz+WRZloLBoDo7O5N3fHY4N2wDgFLEZVUBACUrFAopGo0mPw4EAvJ4PAqFQurs7JTX61UikUi7CzQAlBoCAwAAAABXlCQBAAAAcEVgAAAAAOCKwAAAAADAFYEBAAAAgCsCAwAAAABXBAYAAAAArggMAAAAAFwRGAAAAAC4IjAAAAAAcEVgAAAAAOCKwAAAAADAFYEBAAAAgCsCAwAAAABXBAYAAAAArggMAAAAAFwRGAAAAAC4IjAAAAAAcEVgAAAAAOCKwAAAAADAFYEBAAAAgCsCAwAAAABXBAYAAAAArggMAAAAAFwRGAAAAAC4IjAAAAAAcEVgAAAAAOCKwAAAAADAFYEBAAAAgCsCAwAAAABXBAYAAAAArggMAAAAAFwRGAAAAAC4IjAAAAAAcEVgAAAAAOCKwAAAAADAFYEBAAAAgCsCAwAAAABXBAYAAAAArggMAAAAAFwRGAAAAAC4IjAAAAAAcEVgAAAAAOCKwAAAAADAFYEBAAAAgCsCAwAAAABXBAYAAAAArggMAAAAAFwRGAAAAAC4IjAAAAAAcEVgAAAAAOCKwAAAAADAFYEBAAAAgCsCAwAAAABXBAYAAAAArggMAAAAAFwRGAAAAAC4IjAAAAAAcFWR7w5gcoRCIXV2dsrr9SqRSEiStmzZIp/Pl+eeAQAAoJARGEpAU1OT4vG4uru75fF4JEnxeFx1dXUKBAJqbm7ObwcBAABQsMps27bz3QnkTigUUktLiwYGBpJhwdHV1aWmpiZFo1FmGgAAAJARgWGKq6ysVH19vcLhcMbtZWVl8vv9rtsBAABQ2ihJmsJisZgsyxpx9sDn8ykSiciyrGEzEFfj/Pnzeu211yRJNTU1qqjgWw0AACCXLl26pGPHjkmS1q1bp1mzZk3IcTmLm8K2bdsmSaqurnZtU1VVJUmKRCJqbGycsM/92muvacOGDRN2PAAAAGRv586dWr9+/YQci8uqTmGRSESSRpw5cLb19PRMQo8AAABQbJhhmMIsy5KUmkXIxNnmtJ0oNTU1yf/v3LlTtbW1E3r8YX7v96S1a6WGBmnNGqmsLLefDwAAYDS2LcXjUjgsvf669A//kNNzlP7+/mSFx+BzsatFYJjCnPstTHRbSTpw4MCI2536OUmqra3V0qVLx3T8Mentlf79383/t26VvF7pscfM4wMfkGbMyN3nBgAAGOziRelHP5K2bzePt95Kbdu6VbrppknpxkSuHyUwYFyWLVuW7y6k7NiR/nE8Lv3935vH/PnSQw+Z8PDII9II6zkAAADG5cQJ6TvfMQHhO9+RTp7M3G7HjkkLDBOJwIDit327+7ZTp6TOTvMoL5fuvjs1+3DTTZQuAQCAsbNt6ec/T80iPP+8dOXK6Ptt3y794R/mvn8TjMAwhVVVVcmyrKzKjUZa55BJX1/fiNsH19Dl3Kc/bdYt7NghHTzo3u7KFfMD/fzz0mc+Y0qXNm0y4eGDH6R0CQAAuLt4UXruuVRI6O3Nft/rrjPnHI8/nrv+5RCBYQrL5r4KTpgY6z0YcromYaweftg8bFt6+eXUD/KuXSPvF49LX/iCeVxzTXrp0sKFk9J1AABQwE6ckL797VSp0alT2e9bV5d6Y9LnK+qqBgLDFFZfX69YLKbeERJwPB6XpAm7Tm9elZVJd9xhHn/yJ1J/v/TNb5of8nBYOnfOfd933pG6usyjrCy9dOnmm4v6hxwAAGTJtqXdu1NvPr7wQnalRpI0a5bk95tzh0cflZYsyW1fJxGBYQpraGhQKBQa8ZKpzraJvGlbwaitlZ580jzOnZOefdb88O/YIY10lSfbNr8gXnhB2rJFWrUq9Q7BffdRugQAwFRy4UJ6qdF7b6ZmxSk1euwx6cEHpTlzctfPPCqzbdvOdyeQO2VlZfJ6vRlnGSzLUmVlpXw+n6LR6IR+3gMHDiSvpNTX11dYJUy2Lb3ySuoXw1huWueULm3aZEqXJvAaxwAAYJKcOCF961vmPOC73x1bqVF9fSok3HFHQVUh5Or8ixmGKS4QCKitrU3xeFxerzdt29NPPy1J6ujoyEfX8qesTLr9dvP44z+WDh9OL106e9Z936GlS3fdlSpduuWWgvqlAQAA3mPb0s9+lnqz8MUXsy81mj07vdTouuty29cCxAxDCWhqalIsFlM0Gk0ubo7FYtq4caO2bNmi1tbWCf+cBT3DMJLz59NLl0a5GlSalSvTS5dmzsxZNwEAwCguXJB++MPU3/SxlBotWZJeajR7du76OYFydf5FYCgRoVBInZ2d8nq9SiQSsixLbW1t8vv9Ofl8RRsYBrNt6dVXU+9G7NyZ/b7z5qWXLi1alLt+AgAA4/jx9FKjd97Jft/6+lTVwO23F2XVAIEBRWVKBIahDh9O/RJ65pmRS5cGc0qXnHcq3ve+ovwlBABAwbFt6Y030kuNsj21nTNHamgwf58ffdRcLKXIERhQVKZkYBjs/Hnp+99P/YIaS+nSihUmOGzaJN1/P6VLAACMxYUL0g9+kCo12rs3+32XLk29gffAA0VTapQtAgOKypQPDIPZtvTaa+mlS9n+WM2bJ33oQ6l3NyhdAgBguGPH0mf5x1JqtH59qtTottum9Cw/gQFFpaQCw1BHjqT/UjtzJrv9ysqkO+9MvfOxbt2U/qUGAIAr25Z++tPUm3E//vHYS42cqxpde21u+1pACAwoKiUdGAY7fz41bbp9u7R/f/b7Ll+eKl164AFKlwAAU9u776aXGr39dvb7LluWXmo0a1bOulnICAwoKgSGDGxbev31VHj4yU+yf7dk7lxTuvTYY+aqS4sX57avAABMhqNH02flT5/Oft8NG1KlRrfeyqy8CAwoMgSGLIz3l2RZWeqX5KZN/JIEABSPwW+e7dgxtlKjuXNTpUaPPFJSpUbZIjCgqBAYxmjwNOz27dK+fdnvu3y5CQ5O6VKJTsMCAArUu++mriy4Y8fY/sYtW5aaRbj/fv7GjYLAgKJCYLgKzrsvO3aMfaEX774AAArB0aPSN785vguADC414gIgY0JgQFEhMEygo0elb387ddfK8dR3bto05S8lBwDIo8GXGN+xg3V6eUJgQFEhMOSIU7rkzD6M5woSmzZJDz7ItC4A4OoMvonpjh3juxKgU2rElQAnBIEBRYXAMAkGX6N6xw7pxRe5RjUAILeOHDGlRjt2jO9eQ05IeN/7mPXOAQIDigqBIQ+cu2Du2GFKl8ZzF8xNm6Tbb+eXOADAsG3p1VdTb07t3Jn9m1Pz5qWXGi1alNu+gsCA4kJgyLMLF9JLl/buzX7fpUvTS5dmz85dPwEAhef8eenZZ1Mhoa8v+31XrEjNItx3H6VGk4zAgKJCYCggti298UYqPLz4onTlSnb7zpkj+f2pAFFbm9u+AgDy4/DhVKlRODy2UqO77kqFhFtuYZY6jwgMKCoEhgJ2/Hjqqkvf+c7YSpfq601weOwx6Y47+KMAAMXKtqVXXkm9mbRzZ/b7zpsnPfRQqtSopiZ3/cSYEBhQVAgMReLCBem551I3jIvHs9/3uutS4WHjRkqXAKDQnT8vfe97JiSMtdRo5crULMIHP0ipUYGa8oHhd37nd/SP//iP+e4GJgiBoQjZtvSzn6XebXrhhexLl2bPTi9duu663PYVAJAdp9Ro+3ZTanT2bHb7lZVJd9+duiAGpUZFYcoHhurqap04cSLf3cAEITBMAcePm5Ilp3Tp1Kns962rS80++Hz8kQGAyWLb0ssvp9786enJft9rrkmVGv3CL1BqVISmfGCYNm2aLl++nO9uYIIQGKaYCxekH/0oVbrU25v9vtddZ+714JQuzZmTu34CQCk6dy691OjAgez3XbUqNYtw333SjBm56ydybsoHhvLyclVVVWnLli3auHGjbr/99nx3CVeBwDCF2ba0e3fq3avnn8++dGnWLBManD9OS5bktq8AMFX196cCQiSSfalReXl6qdHNNzMLPIWURGCQpLJB37R+v18NDQ3y+/1ZB4i3335bK1euzEEPMRYEhhJy4kR66dLJk9nv6/Olly6993sAADCEbUsvvZR6s2bXruz3veYa6eGHU6VGCxfmrp/IqykfGNra2vTSSy/J4/EoEonIsixJ6QHC5/MlQ8SDDz6Y8TjXX3+99uzZMxldxggIDCXq4sX00qW33sp+39raVOmS30/pEgCcOyd1d6dmEg4ezH5frzd1VaMPfIBSoxIx5QODJL300kvatm2bPvvZz+rEiRMKh8MKh8Pq7u7OOkBUVVUpkUjko/sYhMAA2bb05pup8PD881K265Sc0iXnqkt8/wAoFYcOpa5qFImY0JCN8nLpnntSpUY33USpUQkqicDg+PznP6/Kyko9+eSTyef27t2rSCSiaDSqSCSi+HvXix8cILxer+LxOIunCwCBAcMkEqnSpW9/e2ylS7ffnnqnrK6O0iUAU4dtS7FYqtQoGs1+3/nzU6VGDz9MqRFKKzBIJiC0t7erpaUl4/qFkydPKhKJKBwOpwWIyspKLs9aAAgMGNHFi2bGwZl9GEsZ4bXXppcuzZ2bu34CQC6cPWuuarR9uwkKhw5lv+/q1alZBEqNMETJBQZHR0eHTp48qU9/+tMjtjt58qSCwaC2bNnCDEMBIDBgTAaXLv3oR9mXLs2cKT34YOqP53vfcwBQcA4eTJUadXePrdTo3ntTv+duvJFSI7gq2cAgmTDQ1tamJ554wnWxs4MbwBUGAgPGbWAgvXTpvfVLWbn99tRVl+rrKV0CkD9XrqSXGsVi2e+7YIEpMdq0yVzVqLo6d/3ElFLSgcHxta99Tbt27dKWLVs0f/78jG3WrFmjt8ZyZRbkBIEBE+LiRemFF1KzD2++mf2+ixenSpcaGihdApB7Z8+a2QOn1Ki/P/t916xJLzWaPj13/cSURWB4z8mTJ7V161Zt2LBBH/nIR4Zt7+7u1saNG/PQMwxGYEBOvPlm6t26554bW+nSAw+k/hgvX57bfgIoHQcOpJcanT+f3X7l5dL735/6vbR2LaVGuGoEhiFeeuklhUIhtbW1caO2AkRgQM4NDEjf/W6qdGlgIPt9b701ddWl9espXQKQPafUyJn5fOml7PddsMCUGDmlRlVVuesnShKBwcXnP/95lZWVjbooGpOLwIBJdelSqnRpxw5p9+7s9120KL10ad683PUTQHE6cyZVavTNb46t1Oj661OzCO9/P6VGyCkCwwi+9rWv6a/+6q/05S9/Wbfddlu+uwMRGJBnb72VevfvuedMoMjGjBnppUsrVuS2nwAK14EDqRLI730v+1KjadNMMHAuwLB2bW77CQxS8oHh5ZdfVjweVzweV29vr+LxuHbt2pW8A7Rt2yorK1MgEGC2oQAQGFAwLCtVuvStb42tdGnduvTSpWnTctZNAHl25Yq5aZrzZsPLL2e/r1Nq5NxAjVIj5Emuzr8qJuQoE+DUqVPJEOAEAudhDbms4tCM4/V6k48FCxZMYq8BFDyPR9q82TwuXZJefDF1QjBa6dJrr5nHX/6lVFOTXrp0zTWT0n0AOXTmjBSJpEqNDh/Oft8bbkjNItx7L6VGmNIKZoahvLxcZe9dHSBTl7xer3w+n7xer1avXp0MCKtWrZrsriILzDCgKLz1lik52LFD+sEPxla6dP/9qdkHSpeA4tHXl15q9O672e03bZq53KkTEm64Ibf9BMZhypcklZeXa/Xq1fL5fFq1apXWr1/PrEERIzCg6Jw8mV66lEhkv+/73pcKDxs2ULoEFJIrV6Rdu1Izi6+8kv2+lZWpqxo9/LD5GChgU74kSTIzC729vfJ6vaqsrNTq1atdb9AGABNqwQLpiSfM4/LlVOnSjh3SG2+MvO/rr5vH1q2mdOmRR0x4+NCHKF0C8uH06fRSoyNHst937dr0UqOKgjpVAvKiYGYYqqurdeLECUnm5mvhcFixWEwDAwPy+/1qaGhQfX39qAHiy1/+sp588snJ6DJGwAwDppTe3lQJw1hKl6ZPT5UubdokUUIJ5M7+/amf02efHXupkTNLeP31ue0nkENTviRpzZo1euuttzJue+mllxSJRBQOh0cNEIODB/KHwIAp6+RJ6ZlnUqVLY/l9c8stqZOSO++kdAm4GleuSDt3pkLCq69mv69TauRc1cjjyVk3gck05QPD3r17s17APDRA1NfXq6GhQT09PWpvb9fly5dz3FuMhsCAknD5svTjH6dKl3760+z3XbgwvXSJ8ktgdKdPm8C+Y4cpNTp6NPt9b7wxNdt3zz2UGmFKmvKB4Wq89NJL2rZtm9rb21VZWckMQwEgMKAkxeOpqy59//vSxYvZ7Td9unTffanZB0qXgJR9+1Kh/NlnpQsXstuvokL64AdTIWHNmtz2EygABIYsRCIRPfTQQ8wwFAACA0reqVPppUvHj2e/7803p8LDXXdRuoTScvlyeqnRa69lv29VlZm527RJeughSo1QcggMWSovL9eVK1fy3Y2SR2AABrl8WfrJT1Lvkr7+evb7VlenSpceeojSJUxN77yTXmp07Fj2+950U2oW4e67KTVCSSuJy6pOhObm5nx3AQDSTZtmaqbvucdcenXv3lTp0rPPjly6dOKE9NWvmodTuuRc8tHrnbyvAZhob7+dujfCWEr4KipSJXybNkmrV+eylwA0BWcYUBiYYQCy5Lyz6lwvfjylS847q5QuoZANnmnbvn1sFwkYPNP2oQ+Z+6YAGIaSJBQVAgMwDk7ttnNCNd7SJU6oUChOnTJ3UN+xg7U8wCQgMKCoEBiACfD226mFn9///tiuDjP4qkuULmEyxeOp9To/+MH4rha2aRPft8A4EBhQVAgMwAR75x0pHE6VLo1nUehjj1G6hIl36VL6/UjeeCP7fRculB591AQE7kcCXDUCA4oKgQHIIecOt07p0nguO+lcdYnSJYzHyZOm1Mi5bHAikf2+73tfahaBO54DE4rAgKJCYAAm0b59qdKl8d7Y6rHHuNoMRvbWW6lZhB/+0MwsZGPGDOn++1MhYeXKXPYSKGkEBhQVAgOQJ++8I0UiqdKlo0ez3/emm1KXbOV69rh0SXrhhVRI2L07+31rakyp0WOPSQ0N0jXX5K6fAJIIDCgqBAagAFy5IvX0pEqXXn01+32rqqRf+AVzwvfww5QulYqBgVSp0be/bT7O1q23pgLnhg1SeXnu+gkgIwIDigqBAShA+/aZWYft26XvfW/spUvOyeCaNbntJybXm2+mStqee85c3jcbM2ZIDz5ovi82bZJWrMhtPwGMisCAokJgAArc6dOp0qUdO8ZWunTjjal69HvuoXSp2Fy8KD3/fCokvPlm9vsuXpwqNfL7pXnzctdPAGNGYEBRITAARcQpXXJOIF95Jft9ndKlTZtM6ZLHk7Nu4ioMDJgSo+3bpe98R7Ks7Pe97bbUwvj6ekqNgAJGYEBRITAARWz/fhMeduwwpUvvvpvdfhUV0gc+kCpduv763PYT7mzbzBw461eefz77UqOZM02pkTOL9N7vcgCFj8CAokJgAKaIwaVL3/ymdORI9vuuXZs66bz3XkqXcu3iRbMGwZkpeuut7Pe99trUWgS/X5o7N3f9BJAzBAYUFQIDMAVduSLt2pV613ospUuVlemlS5WVuetnKTlxwpQa7dhhSo1Onsx+3zvuSAW6ujpKjYApgMCAokJgAEpAX1/q3eyxlC5Nmya9//2p0qUbbpDKynLb16nCts39EJzF6s8/b4JcNmbNkjZuNK/5o49K/F4GphwCA4oKgQEoMWfOpF91aSylS2vWpN7p/sAHpOnTc9fPYuSUGjkzO7292e9bW5sKZhs3SnPm5K6fAPKOwICiQmAAStiVK1I0mjrBffnl7PedP9+ULG3aZEqYFi7MWTcLWiKRflWjsZQa1dWlQsIdd1BqBJQQAgOKCoEBQFJfn1kwvWOH1N0tnT+f3X7l5dLdd6dOfm++eeqWLtm29POfp1/VKNtSo9mzzULlxx6THnlEWrIkt30FULAIDCgqBAYAGZ09a0KDc9nWQ4ey33fVKnNS/PjjpnRpxozc9XMyDL6q0Y4d0p492e973XWpIPXgg5QaAZBEYJhy2tvbFQ6HtWvXLlVVVcnn82nLli3y+XwZ28fjcbW0tKipqUl+v19erzf5fCwW07Zt2xQIBJLPDxUKhdTZ2Smv16tEIiFJI36+q0VgADAq25Zeeim1cHrXruz3dUqXHn/clC5VVeWunxPpxAnpW99KXdXo1Kns962rS91A7Y47pu5sC4BxIzBMEZZlqampSS0tLWpsbJQkxWIxNTU1KR6Pq7W1VYFAYNh+sVhMdXV1rscNBAJqbW3NuM05dnd3tzzv3YU1Ho+rrq5OgUBAzc3NV/+FDUFgADBm/f3mZHr7dikcNrMR2Zg2zdzn4fHHU1ddKiRvvil94xvS178uvfDC2K5q5JQabdpkZhUAYAQEhimioaFBbW1t8vv9ac9blqVVq1bJsix1dnYmw4TDLTD4fD51dHS4zhSEQiG1tLRoYGAgGRYcXV1dampqUjQanfCZBgIDgKty/rz0/e+navr7+rLf94YbUuHhnnsm/4Zxly5JL75o+v2Nb5i1Cdmi1AjAVSAwTAGxWExtbW0Kh8MZt7e1tam9vV0ej0cDAwPD9t26dasCgYDi8XiyjGk0lZWVqq+vd/2cZWVl8vv9rtvHi8AAYMLYtvTqq+bke/t2qacn+32rqkzJ0uOPSx/6kDTkjZMJc/SoKTH61rek735Xsqzs93VKjTZtknw+So0AjFuuzr8m+W2X0haJRBSJRNTQ0JDxBL2hoUHt7e2yLEvxeDzjegSv1+u6TmGoWCwmy7JGDBY+n0+RSESWZQ2bgQCAglBWJt12m3n88R+b0iVn3UM4PPJVlxIJ6V//1Tyc0qVHHjEhYt268Z+c27YUi5k+fOtbYwsxs2dLDQ0mIDz6KKVGAAoeF2eeRL3v3WwnEokoFosN2z44CGTaPlbbtm2TJFVXV7u2qXpvoWAkErnqzwcAk6K2VnrqKTPjcOKE+ffJJ6Vrrx15v8uXpR/+UPrMZ0z4WLZMamkxoePSpdE/r21LO3dKf/iHktcr1ddLf/Zn2YWF2lqpudkEnRMnzHqGp54iLAAoCswwTKKWlhZFIhH5fL6M7/pbg6awJ+LdficEjHQsZ1tPT8+wdRMAUPDmzEldOci5YZxTuvTKKyPve/CgFAqZR3W19OEPS42N0oYNUmWlaXP6tPSjH0nPPCN97WvS/v3Z9+3WW00p1OOPm7IjbqAGoEgRGCaRz+dLzjJksmvQJQXr6+sztonFYgoGg8mPE4mENm/enPFk3wkgVSNcbtDZZo2l3hYAClF5ubR+vXl87nPSvn3mHf1vfMMsoL5wwX3fEyekL3/ZPCRp8WKzWPrwYTMzkY1580ypkVPyxA3UAEwRBIYC4gSB5ubmjLMCkUhE69evTwsM8Xhcq1evVnNzc9rzkpL3W8jGWNpKZlHNSPr7+8d0PACYcCtWSJ/4hHmcOSM9+6xZb/Dtb0tvvz3yvkeOZPc5Vq+WfvEXzVqE97+/+G8mBwAZEBgKRFdXl2KxmLxeb8b7MHi9XnV0dAybSfB6vWptbVV7e7vq6upyck+FTJwV+ABQFObONYuMN20yaxF27zZlS52dY7thnGQu29rUZMqXbruNqxoBmPIoqCwAlmXpqaeeksfjUTgczji74PF4XNcYbN68WZK5LCsAYBRlZdJNN0mtrWbBcjwutbebtQuZ7tlQUWGurvTf/pu5vOvu3dKf/7l0++2EBQAlgRmGEVxNXf9YFi03NTVJkqLRaNaXTB3M2ceyLMViseSC6qqqKlmWlVW50UjrHDLpG+UmSn19fbrnnnskUZ4EoMBNny796q+ax8WL0t690oEDZiZi4ULp+uvTb6B28GD++goAIxh8znUpm6u/ZYnA4MK5idrVyOaeeO3t7dq1a9eIYSEejysQCKihoWHUKxnF4/FkYMgmtDhhYqxXZRrtRiCDv2E3bNgwpmMDAADg6hw7dkwrV66ckGNRkuQiEAjItu2reowmFAopGAxq7969I84sBINBhUKh5EzESAYfx7nS0khXZorH45Kk9evXj3psAAAAlB5mGPIkEokoGAwqGo0Oe3e/q6tLHo9Hfr9fUurGa24Lmp2Tfklp93doaGhQKBQasbTK2TbR92BYt26ddu7cKUmqqalRRaa64AnU39+fnMnYuXOnamtrc/r5MDEYt+LF2BUnxq14MXbFabLH7dKlSzp27Jgkcy42UQgMeRCLxdTW1qbu7u6MpUA9PT1qaWlJfuzz+dTa2prx6klS6gZtQ0/6nY/d7uJsWVZaCdNEmjVrVt5mLWpra0ctmULhYdyKF2NXnBi34sXYFafJGreJKkMajJKkSeZcEamjoyP5sfOIx+OKxWLq6upKKy3y+/2Kx+NpMwmDBYNBeTye5DEHCwQCrvs+/fTTkpRxPwAAAEAiMEwqy7JUV1enWCymuro6VVZWpj1Wr16turq6jPsGAgG1tLSkzRY4x0skEq6zFa2trWpsbFRDQ0NaaZIzyxEIBHIywwAAAICpgZKkSbR161bXWYLBMi2A9nq9CofDyZP8RCKhqqoq+f1+11IlR2dnZ3LRtNfrVSKRkGVZ6uzsTK6TAAAAADIhMEyiQCAw6sl9NscYj+bm5km7CzQAAACmDkqSAAAAALgiMAAAAABwRWAAAAAA4KrMzuaWxAAAAABKEjMMAAAAAFwRGAAAAAC4IjAAAAAAcEVgAAAAAOCKwAAAAADAFYEBAAAAgCsCAwAAAABXBAYAAAAArggMAAAAAFwRGAAAAAC4IjAAAAAAcEVgAAAAAOCKwAAAAADAFYEBAAAAgCsCAwAAAABXBAYAAAAArggMAAAAAFxV5LsDAAAUgra2NsXjcVmWJY/Ho46ODnk8HrW3t6unp0dVVVWSpGAwmOeeAsDkKrNt2853JwAAyKempiYFAgF5vV5JUkNDQ/Jfr9erxsZGhUIhtbS0KBAIqLW1NZ/dBYBJRUkSAKCktbS0aMuWLcmwIEk+n0+RSEQ9PT1qbGyUZGYgJMnj8eSjmwCQN5QkAQBKlmVZSiQS8vl8w56XpM2bNyef6+7uViKRkN/vn8wuAkDeUZIEAChZTjAYOmuwevVqxeNx8ScSAJhhAACUsEzlRZZlKR6PD5t1AIBSxRoGAAAGiUQiktLLkQCglBEYAAAYZNu2bZKUca1CLBab7O4AQN4RGAAAJcuyLHV1daU958wwDC1J6urqSm4DgFLCGgYAQMlatWqVLMtSNBqVz+dTV1eXLMtKu8SqIxgMKhwO56GXAJBfzDAAAEqSZVmyLEt+v18+n0+WZSkYDKqzszN5x2eHc8M2AChFXFYVAFCyQqGQotFo8uNAICCPx6NQKKTOzk55vV4lEom0u0ADQKkhMAAAAABwRUkSAAAAAFcEBgAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwRWAAAAAA4IrAAAAAAMAVgQEAAACAKwIDAAAAAFcEBgAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwRWAAAAAA4IrAAAAAAMAVgQEAAACAKwIDAAAAAFcEBgAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwRWAAAAAA4IrAAAAAAMAVgQEAAACAKwIDAAAAAFcEBgAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwRWAAAAAA4IrAAAAAAMAVgQEAAACAKwIDAAAAAFcEBgAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwRWAAAAAA4IrAAAAAAMAVgQEAAACAKwIDAAAAAFcEBgAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwRWAAAAAA4IrAAAAAAMAVgQEAAACAKwIDAAAAAFcEBgAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwRWAAAAAA4IrAAAAAAMAVgQEAAACAKwIDAAAAAFcEBgAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwVZHvDmBqOn/+vF577TVJUk1NjSoq+FYDAADIpUuXLunYsWOSpHXr1mnWrFkTclzO4pATr732mjZs2JDvbgAAAJSknTt3av369RNyLEqSCkwoFFJDQ4NaWlrU1NSkpqYmxWKxcR8vHo+roaFBoVBI8Xg87fmuri41NTWlPQ8AAAAMxgxDAXFO3ru7u+XxeCSZE/u6ujoFAgE1NzeP+ZiWZSkSiSgSiWTcHggE5PV6r6bbGdXU1CT/v3PnTtXW1k745wCAq/Luu9ILL0iHDkler7RhgzRtWr57BQDj1t/fn6zwGHwudrUIDAUiFAqpq6tLAwMDybAgSV6vVx0dHWpqalJ9fb18Pt+EfD6fz6eOjo4JO95Qg9cs1NbWaunSpTn5PAAwLleuSI8/Ln3zm6nn/vN/lr7ylfz1CQAm0ESuH6UkqUC0tbXJ7/enhQVHY2Njss14NDY2qre3V+FwWNFoVLZtKxqN5iwsAEDB+9rX0sOCJP3zP0tvvJGf/gBAASMwFIBYLCbLskY8gff5fIpEIrIsa1yfw+v1yu/3ExIA4PJl6U//NPO2zs5J7QoAFAMCQwHYtm2bJKm6utq1TVVVlSS5rkUAAEj62c+k1lbpiSekP/gDsz5hqHDYfSbh6adz2z8AKEKsYSgATgjIVI7kcLb19PQkS5QAYFKcPSudPy95PFL5CO8zXbokvfmmdOaMtGKFtGiRe9u+Pun735dOnZJWrpQefFCaPXt4u/PnpX/5F+n//T/p+HFpzRrpqaekjRuHt/3yl6VPfEK6cCH13L/+q7R9uzT40oL/8i/u/XrjDWnPHun6693bAECJITAUAKfMyJlFyMTZNt6SpFgspmAwmPw4kUho8+bNUyN8vPOOdOSIlEiYx4kT0sGD0oEDZpskVVSYk5fFi6VrrzX/v3DBtD10yJy8OK9tRYVUU5Nqu3ixdPGiadvfb9oODJi206ZJCxem2i1eLNl2qu3+/eb/ZWWmbXV16rjXXmueP348ddyjR1Ntq6pS7a691vTLabt/v/maJXMCV1kp1daadrW10syZ0rFj0uHD0r59Zh/bNsetrEy1q62V5s41n/fQIdP20CGzILSiQlqwwLS57jrz7zXXmOM6bfv6THlHRYU0f760ZIlpu2SJ2ffYMTMWe/eaPl+8KE2fbrZ5veaxZInp29mzpl1vr/T22+YKNoPbrlljTkIlc0Iaj0tvvWXaW5b5mpculZYtM23XrJFmzTJf+7595iRwzx7zPTJ9umm3cqV0ww3mMW+e+br27pV27zaP48fN17ZihenD2rXSTTeZE+cDB8zn/tnPpJ/+1LzW5eXmmNdfL918s7Runfn+OHhQ+vnPpddek155xexbVmaOeeON0q23SnfcYV67/fvN8V56SYpGTd8vXzbbbr1Vuusu6c47pdWrTf96esyVfp5/3nx9Fy+a18Hnkz74QfNYscK8vi++KHV3S9/7nvT66+Y1XrbMXB3o4YelD33IfJ7Ll03b7dvN42c/M6/7NddI99wj/fIvS7/0S+bnxLZNX7/6Ven//J/U96Vk+vtbvyX9xm+Y7ztJ2rnTlAN9+9vpP8cLFkhbtkj/9b+asZTM1/Ubv2FeZ0c0Km3bJv3ar0kdHWaMJfP/TFeSO3JE+oVfMK/p4sXSyZPSf/zHyL9TXn2VwAAAg9nIO4/HY0uyOzs7Xds0NzfbkuzGxsYxHTsajdoej8cOBAJpz/f29tqS7Obm5nH1ua+vb8THzp07bUm2JLuvr29cnyNrW7bYtjlt4cGDR6bHvHm2XVaWXdvly0370dqVl9u2z2fbXu/obWfNsu3HH7ft++4bve3119v23/yNbf/u75rPMVLbu++27SNHbLuzc/S2zu/O//k/05+fPt22b701/bk///Pc/s4CgBzp6+uzc3H+xQzDFOdclnXoTILX61Vra6va29tVV1c35ns8LFu2bCK7eXVGmJkBIOn06ezb7t+fXbsrV6Rsbyp5/rz0jW9k13bPHun3fz+7ti++aGYNstHVZR5f/GL6848+amZVXn019dzu3dkdEwBKBIuepziPx+NadrR582ZJ479ca8EgMACFZaR1DoPNny/dckt2be+8U/q93zOlY6P5oz8ypUhDLyTR1DR8sfPHP27KwgYjMABAGmYYCkBVVZUsy1Iikciq7URx7vBsWZZisdiYLrna19c34vbBdxrMOec1mTHDnCBUVZk1CsuWmfrxsjLzDufRo6bO/MgR8/9Zs9Lb1tSYE513301ve+SIqXmvrk61XbzYHPfCBdP2yBHT/vBhU/NeXW2Ot3y5WS9QXm7aOusKnPa2bdrV1JjjXnedWWdw4YKpT3eO2d9v6sqdtsuXm9r/igpTs+6sbXAeFy+adk5/ly0zbS9dGt723DnTbtEic9zly00N+eDjHjpk/j19OrW+Y8UK85g9O7XG49AhU69/6JCpFa+pMWsfVqyQVq2S5swxbY8cMWsQ4nHz+lVUmPFbutTU5nu95mTSadvba9Yr9Pen2i5ZYurM16wxn+P0abOmYu9e8y71gQPm9V2wwHxNK1eaNQhLlph6/n37zHF//nPTVjJfy8qVpg833WT6fe5c6pg/+1mq7fTpqfUKt9xi9rlwwfRz926zRsC5Qk9ZWerz33qrOfalS+Zzv/669PLLZpwd111njllXZ9pXVJjFxDt3Sj/+sXnNHDNnmgW9995rTqpnzzb9fO456Yc/NOPiKC+X6uvNguH77zevzSuvSM88I0UiZswGW7dOeuwxadMm06ef/MTcv2DHDvMaDrZihVlX8Gu/ZsbkBz+QQiHp3//dfK2DLVwofeYz0u/8jvme6OmRPvlJc/yhpk+X/vt/l/7wD83Pxsc+ZvrjNhPS0mLal5VJ//AP0n/6T5nbSWY8Mi2e3r3bfO+UlbnvCwAlhMBQAEa6OpLDCRPZtHXE43EFAgE1NDSMurg5Ho+PKTAU1J2bH3nELIKdPZs/8Ei5csWcqM6YMXrbS5dMUJwzZ/TvofPnTYiYP9+cwI7k1ClzYu3xpBbnujl+3CzSr6w07d3YtglllmXebV+61ASKwR5+WPrUp8xrsGePOfacOWZx99y56W3vvNMsFr50yZQYHT5sfpbWrTNhd7AVK8zlSs+eNQun9+83gcUJNoNnFjZuNI8jR8wi5T17zMn/PfeYRciD+7F+vVngvH176uZpM2ZIDzxgrno0eAZg3ToTnD7+cRNGHDNmmEXTf/zHqTH8lV8xn/vrX8/8Wra1mT4PnWE4fdqEvSVLXIcBAEoJgaEA1NfXKxaLqXfwlUCGiMfjkqT1gy8NOIpgMKhQKKRQKCTbtkds68w2FKUZM7I7KURpKS/P/vuiomL4SbebWbNGP/l3zJ9vHtlYuNA8RlNWZkJCNqG9vNy8i7527ehtKyrM1ZKyMWeOeZc/G4sXS7/7u6O3Ky+XfvEXzSObY37ta+aqUz/5iRnnjRuHn+CXlUlf+Yp0331mJmewJ56QfvM3zf+XLDEB5syZ1PbduwkMAPAe1jAUgIaGBkkjXzLV2TaWy6A6N4JzW9DshBBJ3AEaQPFZt0568klz6VW3k/uqKlNy9fDDJujNmWNmHv7pn1IzEeXlpoxqsH37ctt3ACgizDAUACcEuN3F2bKsMZcMSSYEtLa2KhAIZNzufL4pcS8GAHBTWzv8vg9DLV1q1nM4Mt0hGgBKFDMMBSIQCCgej6e96+94+umnJUkdHR3DtsXjcdXV1amlpWXYNr/f73pMyZQseTyejMcFgJJy3XXpHx88mJ9+AEABIjAUiNbWVjU2NqqhoSGtNCkWi6mtrU2BQCDjDEMwGFQsFlMoFFIswzXRA4GAWlpa0mYvLMtSXV2dEomEuru7x7SQGgCmpKElTQQGAEiiJKmAdHZ2KhQKqampSV6vV4lEQpZlqbOzU36/P+M+mzdvVldXl7xeb8ZA4fV6FQ6Hk6EjkUioqqpKfr/ftVQJAErO0BkGSpIAIKnMHu3yOcA4HDhwIHk36L6+vsK6DCsADPWtb5m7Pjuuvdbc9wMAikiuzr8oSQIAYGhJ0pEjw284BwAlisAAAMDQkiTbTr/7NgCUMAIDAAALF5o7UQ/GwmcAkERgAADA3MSNhc8AkBGBAQAAiUurAoALAgMAAJK0eHH6x8eO5acfAFBgCAwAAEhSTU36xwQGAJBEYAAAwCAwAEBGBAYAACRp0aL0j48ezU8/AKDAEBgAAJCYYQAAFwQGAAAkAgMAuCAwAAAgDQ8MJ05Ily/npy8AUEAKPjCcOnUq310AAJSCoYHBtqVEIj99AYACUvCBoa6uLt9dAACUgoULhz9HWRIAFH5g6O3t1b59+/LdDQDAVDdjhrRgQfpzBAYAKPzA4PF41NLSku9uAABKAQufAWCYinx3YDSWZemZZ57R+vXr1dXVpRUrVuS7SzkVCoXU2dkpr9erxHu1s1u2bJHP5yvI4wLAlFJTI731VupjAgMAFH5gkKR4PK5EIqFf/uVf1m//9m/rySefzHeXcqKpqUnxeFzd3d3yeDySzNdeV1enQCCg5ubmgjouAEw5zDAAwDAFX5IUCAS0cuVK+Xw+7dq1SwMDA3rooYem3LqGUCikrq6utJN6SfJ6vero6FBLS4tisVjBHBcApqShgYG7PQOAymzbtvPdibGKx+P67d/+bX3oQx/Spz/96Xx3Z0JUVlaqvr5e4XA44/aysjL5/X7X7ZN93NEcOHBAy5YtkyT19fVp6dKlE3p8AMiJz35W2ro19fETT0jbtuWvPwAwBrk6/yr4GYZMvF6vnnnmGS1YsEDr16/XK6+8ku8uXZVYLCbLskZcT+Dz+RSJRGRZVt6PCwBTFiVJADBMUQYGx1NPPaVwOKy/+Iu/0JYtW/LdnXHb9t67V9XV1a5tqqqqJEmRSCTvxwWAKYvAAADDFHVgkMxlV59++mnV1dVp/fr1evbZZ/PdpTFzTtYHrzEYytnW09OT9+MCwJRFYACAYYriKknZaGxslN/vV3Nzs770pS+po6ND8+fPz3e3suKUAznv9mfibBtL6VCujiuZGrmR9Pf3j+l4AFAQhgaG48elK1ek8qJ/fw0Axm3KBAYpNdsQiUT04IMP6rOf/aw+8pGP5Ltbo3Lui1AsbSUlF9QAwJQyNDBcvixZljTCGy8AMNUV/FsmmzdvHvM+fr9fu3bt0v/9v/9XDz/8sN55550c9AwAMOUMDQwSZUkASl7BzzCMtBj31KlTisfjyUdvb2/ax47KykoFg0F97GMfm4wul4S+vr4Rt/f392vDhg2T1BsAmCCzZknz5kmnT6eeO3ZMWrs2f30CgDwr+MAwMDCgz372s/J6vcMCQaa6+0y3lbBtW3/1V39VsIGhqqpKlmVlVRY00nqEyTquJO6rAGDqqqkZHhgAoIQVfGDweDwKBAJpz7nda87r9SYfdXV1yf+vWrVqMro6biNdxcjhnPRn0zbXxwWAKa2mRtq7N/UxgQFAiSv4wCClAoLH45HX61V9fb1Wr16dFhAWLFiQ516OX319vWKxmHp7e13bOCVW69evz/txAWBKG7qO4ejR/PQDAApEUQSGWCym22+/Pd/dyJmGhgaFQqERL23qbGtsbMz7cQFgSlu0KP1jZhgAlLiCv0pSVVXVlA4LUupk3W2Bt2VZisfj8vl8BXFcAJjSuHkbAKQp+MAQDAbz3YVJEQgEhl3dyfH0009Lkjo6OoZti8fjqqurU0tLy4QeFwBKFoEBANIUfGDYuHFjvrswKVpbW9XY2KiGhoa0EqJYLKa2tjYFAoGMMwHBYFCxWEyhUEixWGzCjgsAJYvAAABpimINQ6no7OxUKBRSU1OTvF6vEomELMtSZ2en/H5/xn02b96srq4ueb1e1xP/8RwXAEoWgQEA0pTZbtcoBa7CgQMHtGzZMknmJm/ctwFA0ejpkQbfeHL6dOndd6Wysvz1CQCykKvzr4IvSQIAYFINnWG4eFE6dSo/fQGAAkBgAABgsKGBQaIsCUBJIzAAADDY3LnS7NnpzxEYAJQwAgMAAEOx8BkAkggMAAAMNfRuz0eP5qcfAFAACAwAAAzFDAMAJBEYAAAYisAAAEkEBgAAhiIwAEASgQEAgKEIDACQRGAAAGCoxYvTPz58OD/9AIACQGAAAGCo665L//jgwfz0AwAKAIEBAIChlixJ//j4cendd/PTFwDIMwIDAABDDZ1hkKT+/snvBwAUAAIDAABDeTzS7Nnpz1GWBKBEERgAABiqrGz4LMOhQ/npCwDkGYGhwIRCITU0NKilpUVNTU1qampSLBYb9/Hi8bgaGhoUCoUUj8fTnu/q6lJTU1Pa8wCA9wxdx8AMA4ASVZHvDiDFOXnv7u6Wx+ORZE7s6+rqFAgE1NzcPOZjWpalSCSiSCSScXsgEJDX672abgPA1ERgAABJBIaCEQqF1NXVpYGBgWRYkCSv16uOjg41NTWpvr5ePp9vQj6fz+dTR0fHhB0PAKYcSpIAQBIlSQWjra1Nfr8/LSw4Ghsbk23Go7GxUb29vQqHw4pGo7JtW9FolLAAACPJZobh8mVp927ppz+VLlyYnH4BwCRjhqEAxGIxWZY14gm8z+dTJBKRZVkZQ8VovF4vpUcAMBZDZxj6+tI/PnhQeughExYkc3for39duvPOyekfAEwSZhgKwLZt2yRJ1dXVrm2qqqokyXUtAgBggg19k+Xtt1M3b7twQWpqSoUFSTpyRHr44fTnHLYthcPS7/2e1Nws/dM/SefPj/z5z52TTp0y+wJAHjHDUACcEDDSzIGzraenJ1miBADIobVr0z++ckV66y3pllukv/1b6cUXh+9jWdKv/IoUjUozZpjnTp+Wfv3Xpf/4j1S7jg7pL/5C+rd/k+66K/W8bZt2f/3X0gsvmI9ra6Xf/E3pD/5AGvrG0u7d0v/6X9Lzz5sws3KltGmT1NgozZqV3vb4cekb3zB9O3fOHPf++81j+vT0tmfOSD/4gfTqq9LZs9LChdKGDdL69dK0aeltL1yQdu2S3njD7FddbWZZ1qwxl6cd+hr+9KfSz39uXpcFCySfT1q+fHhb2zYh7I03pBMnpGuuMa/90qXD20pSImGOe+KENHeuGb/a2sxtz52T9uyRjh41r9PKlaYELVPbCxekvXtNX2bONJ+/tlYqz/Ce6+nT0r590jvvSPPnm9eipiZz23PnzLqYd9+VLl0yr/G112Zue+FCetvqamnRosxtL140Nxm8cMG0XbDAzH5lanv5snT4sDnu5cvmNXY77pUr5vU6f94cd94887UN/X6QzNgdO2a+xsuXzT1NamqkigynnbZtxuzsWfM5Zs4cue3AgHmdbdv8jI3U9uRJMxa2bdrU1Az/XnecOmXaS+ZrWrgw9TM81OnTph/ZtD1zxvzsnT1rHsuWmde4yBAYCoBlWZJSswiZONuctmMVi8UUDAaTHycSCW3evHnc4ePAgQMjbu/njqgAit38+aYsafBi5927pRtukL7wBff9Xn9d+su/lP70T82J2Ic/LGWaHd6715ys//M/S7/6q+aE93d+R3r66fR2/f3S1q3Sl74kfe5z0pNPSr295nP827+lz0D85CfStm3S7/++9IlPmPBw5Ij0r/8qdXUNX2fxl39pTqJ+9VelD3zAnDR997vSjh3m5GaomhpzzLo6cyL2wx9Kzz1nTqCGWrzYfH3ve595HXp6TP8y/R2rqZHuvlu68UZzgvnqq1IsZk4kh6quNsHhxhvNyd/u3ab9sWPD21ZVmeCwZo05aX37bRMq9u8fPnMzZ45pd8MN5mT44EETEPftMyeyg82aZWagVq82J7gnTkjxuGk71Jw5pg+rVqVOjvfvN22H9mHGDBOeVqwwfUgkTD/efnt4H6ZPN+Fl+XLzvTowYL5X9u0zJ/SDVVSYQLRsmQkQlmW+L/btMwFjaNvaWtO+qsqcRB89atoO/f6ZNs2EHKftqVPm69u3b/gMWnm5+Z6orTUn2KdPm7Z9fcO/18rLzfdEba3598wZ81r09Zn/D1ZWZo7ntD13LvW6vfPO8PFwgtnixaaPiYT5GXfCwmBVVam2Fy+m2mb6Hq6sTLW9fDnV1gkWjlBIeuqp4fsXOht55/F4bEl2Z2ena5vm5mZbkt3Y2DimY0ejUdvj8diBQCDt+d7eXluS3dzcPK4+S8r60dfXN67PAQB59+CDtm1O68zjz//ctjs705/L9KiosO1o1LabmkZvK9n2PffYdk1Ndm158OBRvI+/+7uc/srq6+uzc3H+xRqGKc65LGtra+uw51tbWxUKhRQKhfLUOwAocDfemP7x7t3mnf7B7rnHvBs+uCzi0iXzLnxnZ3rbigrzDuRQL7yQ+R1yAFPLuXP57sG4EBimOI/H41p2tHnzZknju1xrX1/fiI+dO3deVb8BoCAMDQzhsPS976U/94lPSHfcIX3mMyMfa948s+7hwAGzz0gqK6WvfEX60Y+k935Xu7rmGulTn5L+/u8lv3/ktjNnSh/5iPTJT5r1CCMpL5fuvdesh7j55pHbSqbN/fdnDkRDLV1qAtUIF/tImjPHlAnNnz9624oKU3Yzd+7obSVTwjJ7dnZtFywwr182sj0mSsvMmaZcqQixhmEcxruOQMq8sLmqqkqWZSmRSIy6/0jrHMbKucyqZVmKxWJjui/D0qVLJ6wfAFCwhgaGI0fSP16wwKxRkKQ/+iNp+3bplVeGH2fGDHPJ1fp68/EXv2hOsD/96eHvOG7aJAWDqcu63nuvWdvwJ39i1gw4Fi+Wfuu30hdD/+7vmnr+L35ReuYZU0s+a5b5vB/+sPTRj6afpO/ZI/3v/22Ou2+f6ee6dSZ4fOQj5oTasXevWTT94oumBn/6dPM1PPCAdN99qaBg22aNxbPPmsXQBw6YE/k1a8w6hbvvTt3jwrZN7f+Pfyy99JKpOy8vN3X59fUmiK1caZ6zbdOHV181Mz29vea5JUuk224zayW8XvO5rlwxX88bb5ivMR43z9XUmDFdu1a6/noTLGzb1Jrv2SO9+aY57sWLpn59zRrTbvVqyeMxx+jvN216e01/rlxJ1cXfdJMJN7Nnm3r/Y8fMMXfvTn3vOAuhb7jBHH/ePPP84cOmz87j3XdNHxYuNJ9/9WoTDsvLzZqC/ftNTf/+/WYNQGWlObbXax7z55u2x46ZMThwwLQ/fdp8LVVV5rVdtSrV1qn9dx4nT6baLltm2i9YYNqePGnaHDqUqtVfsMD0Y+lSsw6jstK0fecd06a/3/ybSJivpbLSjN+KFebzTJtm1ij096cex4+n2tbWmu+NykrT9uxZ87odPmzaHjtmxrSy0nw/rlhhXpOyMrNe4ciRVPujR804VVWZRcjLl5vXurzcjJ3T9siR1IL3ykozdsuXpxaHX7hgjjW4/fTpqbbLlpmf5blzMy8QLxJltm3b+e5EMWlra1N7e/tVHWPoS15XV5dclNzc3Jxxn6amJnV1dam1tVWBQCCrzxOPxxUIBNTQ0JBxlsGyLFVWVkqSOjs7J/TqSwcOHNCyZcskmdkIAgaAonT8uDnxGLrg1PHUU2YRo+PoUXOi/fzzqedqa81C5A98YPj+R49KX/2qWVxbWSn90i+ZqxG5OXrUnKTOm2dOfEc7AbHtzFf+ATAl5er8ixmGMQoEAlmfsGervr5esVhMvb29rm3i8bgkaf1oU8iDBIPB5BqF0XIhN3UDgAwWLjTvnj/7bObtH/1o+seLFpm2X/uaeed3+XIzY+C8izzUokVmhiBbixaN7ZKMhAUAE4A1DAWgoaFB0silTs62scwCODeCc5u1cEKIpDGVIwFASXniiczP33uvWfA81PTp5l4Mra3mX7ewAABFgsBQAJwQ4HYXZ8uyFI/Hx3xS7/P51Nramnb/hcGcz8eN4ABgBB/5SOabPX3uc7yDD6AkEBgKRCAQUDweT3vX3/H0ezfx6ejoGLYtHo+rrq5OLS0tw7b5/X7XY0qmZMnj8WQ8LgDgPYsWSX/zN+l3cv3Up8xiXwAoASx6LiBNTU2KxWKKRqPJqynFYjFt3LhRW7ZsGXYvBSl9EXY0Gh02CxGPx9XS0qK2tjb537vcnmVZ2rhxo+LxuLq7u3NSjvT2229r1apVkqSdO3eqtrZ2wj8HAEyqkyfNuoRFi7K7dCgATLL+/n5teO/CCXv37tXKlSsn5LgEhgITCoXU2dkpr9erRCIhy7LSTvaHisViampqktfrVTgcdj1uW1ubYrGYEomEqqqq5PP5Jnzx9mA9PT3Jb1gAAABMrp07d47pYjkjITAgJwgMAAAA+UNgQME7f/68XnvtNUlSTU2NKipyewXfwVNwlEAVD8ateDF2xYlxK16MXXGa7HG7dOmSjh07Jklat26dZs2aNSHH5T4MyIlZs2ZNWKodq9raWm4UV4QYt+LF2BUnxq14MXbFabLGbaLWLQzGVZIAAAAAuCIwAAAAAHBFYAAAAADgisAAAAAAwBWBAQAAAIArAgMAAAAAVwQGAAAAAK64cRsAAAAAV8wwAAAAAHBFYAAAAADgisAAAAAAwBWBAQAAAIArAgMAAAAAVwQGAAAAAK4IDAAAAABcERgAAAAAuCIwAAAAAHBVke8OAFcjFAqps7NTXq9XiURCkrRlyxb5fL4896w0tLe3KxwOa9euXaqqqpLP58vq9R/vuDHeuVdXV6eOjo4RX1PGL//i8bgCgUDyZ0+Smpqa1Nzc7LoP45ZfXV1d2rZtmyTJsixJUktLixobG0fcj3GbPLFYTE1NTYpGo/J4PKO2n+yxyeuY2kCRamxstH0+nz0wMJB8rre31/Z4PHYwGMxfx0rAwMCA7ff77c7OzuRz0WjU9nq9tiS7tbXVdd/xjhvjnXutra22JDsajbq2YfzyLxgM2h6PJ+3nz7bN+Lm9loxbfjU2Ng57vZzfo42NjSPux7jlXjQatZubm21JtqS0183NZI9NvseUwICiFAwGXX+oOzs7Rz3pwdXx+/12OBwe9vzAwIDt8XhsScNOZmx7/OPGeOdeNBpN/rF0ey0Zv/xzXsuhP3/hcNj2eDy2z+dz3Ydxy49AIGAHAgHX7V6vN+MJH+OWe4FAwPb5fHZzc3PyZyibwDDZY1MIY0pgQFHyeDy23+933S5pxO0Yv2g0OuJr67xL7fF4hm0b77gx3rnn9/ttn8834h8exi+/ent7bUkZ35EOBAK2JNvr9Q7bxrjll9frtXt7e123BwKBCX39GbfxyzYwTPbYFMKYsugZRScWi8myrBFr9nw+nyKRSLJOFBMnEokoEomooaEh43bnecuyFI/Hk8+Pd9wY79xra2tTW1tbshY+E8Yv/1paWiSZmuWhWltbFQwGFQ6H055n3PIvHo8rFou5bvd4PMl6dAfjVrgme2wKZUwJDCg6zqKx6upq1zbOiU8kEpmUPpWS3t5eSea1zfRH0Ov1Jv8/ePt4x43xzq14PC7LsuT3+0dsx/jlVzweT74+bicOzc3NaT9/EuNWKJ566inX0BAOh4f9/DFuhWuyx6ZQxpTAgKLj/ECMdAUDZ1tPT88k9Ki0tLS0yOv1qrGxMeOJy+B3OAaP0XjHjfHOrZaWFgWDwVHbMX751dXVJSkVFuLxeHJmaKSTBMYt/xobG2VZlurq6tTW1pa2zZmxHTprxLgVrskem0IZUwIDio5zQjpS+YSzjSnXiefz+dTb26vOzs6M23ft2pX8f319ffL/4x03xjt32tvbh53AuGH88ss5EaiqqlIkElEwGFRLS4u2bNmiWCymysrKjO9gM27519HRkTyha29v1+rVqxWJRBQKhdTW1qa9e/cOOxlk3ArXZI9NoYwp92FA0Rla6zlRbTExnHerm5ub0/4IjnfcGO/ciMfj6u3tVWtra1btGb/8GrweKBwOKxAIJD9ubW3ViRMnVFdXp2g0mjbzx7jln8fj0d69e9XU1KRIJKJ4PK6GhgZ5vV7X6/0zboVrssemUMaUGQYAE6arq0uxWExerzfthAaFp6WlhTEqIs47h5FIJLn4eTDnuaeeemoyu4UseTweNTQ0pIW5eDyuVatWsZYARYHAAGBCWJalp556Sh6PR+FwOKu7ZCI/nFIkxqh4OGPl9XqHLWx2npfMhQZGuiIPJp+zfkGSotGoBgYGknd3tixLDQ0NyTUqQKEiMKDoOLV62Uy9jVTzh4nV1NQkyfxBzHRCM95xY7wnllOKNNpVkYZi/PLLeW0y/Ww5nFAxeB0R45Z/GzdulN/vT5b/eTwedXZ2pr2xMnRmiHErXJM9NoUypgQGFJ1s3hV1frB4B3VytLe3a9euXa5hQRr/uDHeE2u8pUiMX36NFBQczslCNBpNPse45VcoFFI8Hs/4M+f3+7V37175fD5ZlqVQKJTcxrgVrskem0IZUwIDio5z5R3nfgCZOAsE169fPyl9KmWhUEjBYFB79+4d8aRmvOPGeE+cWCymXbt2qa6uTqtXrx72cGqpN27cmHzOwfjll1PSMhLnpIFxKxyZ7rEwmMfjUXd3t6T0oMe4Fa7JHptCGVMCA4rO4DsJu3G2OXWiyA3n8o6ZrvTR1dWVtphvvOPGeE8cn8+ngYEB9fb2Znw4Y9jd3Z18zsH45Zdz0jm43MjN4IW1jFt+xePxUctEPB6PvF5vWtBj3ArXZI9NwYypDRQhSbbX6824bWBgwJZk+3y+Se5VaYlGo7bP57MHBgYybm9tbbV7e3vTnhvvuDHek8Pj8diS7Gg0mnE745dfPp/PlpTxZ663t9eWZHs8nmHbGLf8aW1tdX0NB8v0c8e4TT7nd6Db3zXHZI9NIYwpgQFFKRAI2JKGnZDatm0Hg8ERT3pw9QYGBmyfz2dHo1F7YGAg7dHb22tHo9GMv9zGO26M9+Rw/liGw+GM2xm//AqHw7YkOxgMDtvmvMadnZ2u2xi3yecEuUxj5ggGg3ZjY+Ow5xm3yZdtYJjssSmEMSUwoGg1NjbaXq837Qc7Go3aHo/HDgQC+evYFDcwMGB7vV5b0ogPt3dDxjtujHduOe9SjXZyw/jll3PiMDjUOUGitbXVdT/GLX/C4XDG12tgYMBubW21/X6/676M2+Rxwt1Ib5oMNtljk+8xLbNt2x5/QROQX6FQSJ2dnfJ6vUokErIsS21tbWO+ZCSy19bWpvb29lHb+f1+hcPhjNvGO26M98Rrb29XMBhMu2SfZVnyer3yeDxpCzEdjF9+RSIRBQKB5Jh5vV61tLTk7PVn3K6eZVnaunVrcl2Xs66hpaVl1Lpzxi13urq6tHXrVlmWNeyypVVVVfJ4PNq8eXPykrhDTfbY5HNMCQwAAAAAXHGVJAAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwRWAAAAAA4IrAAAAAAMAVgQEAAACAKwIDAAAAAFcEBgAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwRWAAAAAA4IrAAAAAAMAVgQEAAACAKwIDAAAAAFcEBgAAAACuCAwAAAAAXBEYAAAAALgiMAAAAABwRWAAAAAA4IrAAAAAAMAVgQEAAACAq4p8dwAAgELQ1tameDwuy7Lk8XjU0dEhj8ej9vZ29fT0qKqqSpIUDAbz3FMAmFxltm3b+e4EAAD51NTUpEAgIK/XK0lqaGhI/uv1etXY2KhQKKSWlhYFAgG1trbms7sAMKkoSQIAlLSWlhZt2bIlGRYkyefzKRKJqKenR42NjZLMDIQkeTyefHQTAPKGkiQAQMmyLEuJREI+n2/Y85K0efPm5HPd3d1KJBLy+/2T2UUAyDtKkgAAJcsJBkNnDVavXq14PC7+RAIAMwwAgBKWqbzIsizF4/Fhsw4AUKpYwwAAwCCRSERSejkSAJQyAgMAAINs27ZNkjKuVYjFYpPdHQDIOwIDAKBkWZalrq6utOecGYahJUldXV3JbQBQSljDAAAoWatWrZJlWYpGo/L5fOrq6pJlWWmXWHUEg0GFw+E89BIA8osZBgBASbIsS5Zlye/3y+fzybIsBYNBdXZ2Ju/47HBu2AYApYjLqgIASlYoFFI0Gk1+HAgE5PF4FAqF1NnZKa/Xq0QikXYXaAAoNQQGAAAAAK4oSQIAAADgisAAAAAAwBWBAQAAAIArAgMAAAAAVwQGAAAAAK4IDAAAAABcERgAAAAAuCIwAAAAAHBFYAAAAADgisAAAAAAwBWBAQAAAIArAgMAAAAAVwQGAAAAAK4IDAAAAABcERgAAAAAuCIwAAAAAHBFYAAAAADgisAAAAAAwBWBAQAAAIArAgMAAAAAVwQGAAAAAK4IDAAAAABcERgAAAAAuCIwAAAAAHD1/wPrWidx21cc3QAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sigmaepsilon.solid.fourier import LoadGroup, PointLoad, LineLoad\n", "from sigmaepsilon.solid.fourier import NavierBeam\n", "\n", "L = 1000.0 # geometry\n", "w, h = 20.0, 80.0 # rectangular cross-section\n", "E, nu = 210000.0, 0.25 # material\n", "\n", "I = w * h**3 / 12\n", "A = w * h\n", "EI = E * I\n", "G = E / (2 * (1 + nu))\n", "GA = G * A * 5 / 6\n", "\n", "loads = LoadGroup(\n", " concentrated=LoadGroup(\n", " LC1=PointLoad(L / 2, [1.0, 0.0]),\n", " LC5=PointLoad(L / 2, [0.0, 1.0]),\n", " ),\n", " distributed=LoadGroup(\n", " LC2=LineLoad([0, L], [1.0, 0.0]),\n", " LC6=LineLoad([L / 2, L], [0.0, 1.0]),\n", " LC3=LineLoad([L / 2, L], [\"x\", 0]),\n", " ),\n", ")\n", "loads.lock() # to protect agains typos\n", "\n", "x = np.linspace(0, L, 500) # evaluate in 500 points\n", "\n", "beam = NavierBeam(L, 100, EI=EI, GA=GA)\n", "solution = beam.linear_static_analysis(loads, x)\n", "\n", "labels = [r\"$v$\", r\"$\\theta$\", r\"$\\kappa$\", r\"$\\gamma$\", r\"$M$\", r\"$V$\"]\n", "colors = [\"b\", \"b\", \"g\", \"g\", \"r\", \"r\"]\n", "\n", "plt.rcParams.update(\n", " {\n", " \"text.usetex\": True,\n", " \"font.family\": \"sans-serif\",\n", " }\n", ")\n", "\n", "\n", "def plot(x, res):\n", " fig, axs = plt.subplots(6, 1, figsize=(4, 6), dpi=200, sharex=True)\n", " for i in range(len(labels)):\n", " axs[i].plot(x, res[:, i], colors[i])\n", " axs[i].set_xlabel(\"$x$\")\n", " axs[i].set_ylabel(labels[i])\n", " plt.subplots_adjust(hspace=0.1)\n", "\n", " fig.tight_layout()\n", "\n", "\n", "# plot the results for the point load at the middle\n", "plot(x, solution[\"concentrated\", \"LC1\"].values) # try the others too" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.11" }, "vscode": { "interpreter": { "hash": "28d81e0e1442962330764574f1956d80898814d1923baa1210fb6369a4e79b2a" } } }, "nbformat": 4, "nbformat_minor": 4 }