{"cells": [{"cell_type": "code", "execution_count": 1, "metadata": {"school_cell_uuid": "14e5b170e34145c5940c5c10f52c96b8"}, "outputs": [], "source": ["import numpy as np\n", "import matplotlib.pylab as plt\n", "\n", "plt.rc(\"font\", size=18)  # \uadf8\ub9bc\uc758 \ud3f0\ud2b8 \ud06c\uae30\ub97c 18\ub85c \uace0\uc815\n", "gray = {\"facecolor\": \"gray\"}\n", "black = {\"facecolor\": \"black\"}\n", "red = {\"facecolor\": \"red\"}\n", "green = {\"facecolor\": \"green\"}\n", "blue = {\"facecolor\": \"blue\"}"]}, {"cell_type": "code", "execution_count": 2, "metadata": {"school_cell_uuid": "864e55643dcc44cea9cba8bd42505c3c"}, "outputs": [{"data": {"image/png": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["a = np.array([1, 2])\n", "plt.plot(0, 0, 'kP', ms=20)\n", "plt.plot(a[0], a[1], 'ro', ms=20)\n", "plt.annotate('', xy=[-0.6, 1.6], xytext=(0.2, 0.7), arrowprops=gray)\n", "plt.annotate('', xy=a, xytext=(0, 0), arrowprops=black)\n", "plt.annotate('', xy=a + [-1, 1], xytext=(-1, 1), arrowprops=black)\n", "plt.annotate('', xy=a + [-1, 1], xytext=(-1, 1), arrowprops=black)\n", "plt.text(0.35, 1.15, \"$a$\")\n", "plt.text(1.15, 2.25, \"$(1,2)$\")\n", "plt.text(-0.7, 2.1, \"$a$\")\n", "plt.text(-0.9, 0.6, \"\ud3c9\ud589\uc774\ub3d9\")\n", "plt.xticks(np.arange(-2, 4))\n", "plt.yticks(np.arange(-1, 4))\n", "plt.xlim(-2.4, 3.4)\n", "plt.ylim(-0.8, 3.4)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 3, "metadata": {"school_cell_uuid": "e7bec503e4eb46c1a8cd7f9033667f86"}, "outputs": [{"data": {"text/plain": ["2.23606797749979"]}, "execution_count": 3, "metadata": {}, "output_type": "execute_result"}], "source": ["a = np.array([1, 2])\n", "np.linalg.norm(a)"]}, {"cell_type": "code", "execution_count": 4, "metadata": {"school_cell_uuid": "ba31ef1a899d474f898706891d4baf2d"}, "outputs": [{"data": {"image/png": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["a = np.array([1, 2])\n", "b = 2 * a\n", "c = -a\n", "plt.annotate('', xy=b, xytext=(0, 0), arrowprops=red)\n", "plt.text(0.8, 3.1, \"$2a$\")\n", "plt.text(2.2, 3.8, \"$(2, 4)$\")\n", "plt.annotate('', xy=a, xytext=(0, 0), arrowprops=gray)\n", "plt.text(0.1, 1.3, \"$a$\")\n", "plt.text(1.1, 1.4, \"$(1, 2)$\")\n", "plt.plot(c[0], c[1], 'ro', ms=10)\n", "plt.annotate('', xy=c, xytext=(0, 0), arrowprops=blue)\n", "plt.text(-1.3, -0.8, \"$-a$\")\n", "plt.text(-3, -2.5, \"$(-1, -2)$\")\n", "plt.plot(0, 0, 'kP', ms=20)\n", "plt.xticks(np.arange(-5, 6))\n", "plt.yticks(np.arange(-5, 6))\n", "plt.xlim(-4.4, 5.4)\n", "plt.ylim(-3.2, 5.2)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 5, "metadata": {"school_cell_uuid": "9a959b285db44014a0e7ee3630cc162a"}, "outputs": [{"data": {"text/plain": ["(1.0, 1.0, 0.9999999999999999)"]}, "execution_count": 5, "metadata": {}, "output_type": "execute_result"}], "source": ["a = np.array([1, 0])\n", "b = np.array([0, 1])\n", "c = np.array([1/np.sqrt(2), 1/np.sqrt(2)])\n", "np.linalg.norm(a), np.linalg.norm(b), np.linalg.norm(c)"]}, {"cell_type": "code", "execution_count": 6, "metadata": {"school_cell_uuid": "a3171ba4fc64429f8868b02801e12633"}, "outputs": [{"data": {"image/png": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["a = np.array([1, 2])\n", "b = np.array([2, 1])\n", "c = a + b\n", "plt.annotate('', xy=a, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=b, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=c, xytext=(0, 0), arrowprops=black)\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.plot(a[0], a[1], 'ro', ms=10)\n", "plt.plot(b[0], b[1], 'ro', ms=10)\n", "plt.plot(c[0], c[1], 'ro', ms=10)\n", "plt.plot([a[0], c[0]], [a[1], c[1]], 'k--')\n", "plt.plot([b[0], c[0]], [b[1], c[1]], 'k--')\n", "plt.text(0.35, 1.15, \"$a$\")\n", "plt.text(1.15, 0.25, \"$b$\")\n", "plt.text(1.25, 1.45, \"$c$\")\n", "plt.xticks(np.arange(-2, 5))\n", "plt.yticks(np.arange(-1, 4))\n", "plt.xlim(-1.4, 4.4)\n", "plt.ylim(-0.6, 3.8)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 7, "metadata": {"school_cell_uuid": "a786fbe91ab844cebfdb9ad3c44724ec"}, "outputs": [{"data": {"image/png": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["a = np.array([1, 2])\n", "b = np.array([2, 1])\n", "c = a + b\n", "plt.annotate('', xy=a, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=c, xytext=a, arrowprops=gray)\n", "plt.annotate('', xy=c, xytext=(0, 0), arrowprops=black)\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.plot(a[0], a[1], 'ro', ms=10)\n", "plt.plot(c[0], c[1], 'ro', ms=10)\n", "plt.text(0.35, 1.15, \"$a$\")\n", "plt.text(1.45, 2.45, \"$b$\")\n", "plt.text(1.25, 1.45, \"$c$\")\n", "plt.xticks(np.arange(-2, 5))\n", "plt.yticks(np.arange(-1, 4))\n", "plt.xlim(-1.4, 4.4)\n", "plt.ylim(-0.6, 3.8)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 8, "metadata": {"school_cell_uuid": "08af08294e8a46b38b382ce87f34d5ba"}, "outputs": [{"data": {"image/png": 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XCxYsiJ49ex72uurq6pg1a1bU1NRERMTy5ctj0aJFta7p1q1bPPnkk1FcXBwREd/4xjeic+fOtXosXry4TvMJwwEgPwjDAQAAAABoFNXV1fG3f/u3MWHChNixY0eD+7Vq1Sp+9KMfxS9+8Yto3779Ea9ftGhRrF+/vtba3LlzY/Xq1bXWhg0bFv/yL/8SrVu3PujI9cLCwrj22mujR48eRzVjYWHhQbMJwwEgN4ThAAAAAAAkbvPmzTFmzJj44Q9/mEi/Ll26xG9/+9u45557jur6LVu2xPz58w9ar66ujmnTpsXmzZtrrX/zm9+Mp556Kk477bSDarp27Ro33XRTjB07Ntq1a3fY+7Zv3z4KCgpqrR34rnIAoGkIwwEAAAAASNTKlStjyJAh8eyzzybSr3///lFaWhojR4486ppnnnnmC3dkl5eXxxNPPHHQ92PGjDlsz4EDB8akSZOif//+X3jNgUek19TUCMMBIEeE4QAAAAAAJGbGjBkxdOjQWLVqVSL9rrnmmli4cGGcccYZR13z1ltvxR/+8IfDXvPxxx/Hb37zmzrP06FDh7jqqqvihhtuiC5duhz0/YFhOACQO8JwAAAAAAAS8Xd/93dx9dVXx/bt2xvcq7CwMP7xH/8xnnjiiaN6P/jndu/efdQ70n//+9/Hq6++Wq/5evXqFbfffnsMHz48WrVqtW9dGA4A+aMo1wMAAAAAANC8bdmyJa6//vqYNWtWIv2OO+64+OUvfxmXXnppnWtfeOGF2LZt21Ff//zzz8fJJ58cvXr1qvO9ioqKYsSIEXHuuefG7Nmz4/333z/kMekAQG7YGQ4AAAAAQL29/fbbcd555yUWhJ977rmxZMmSegXh//u//xslJSV1qqmpqYlp06ZFeXl5ne/3uRNOOCEmTpwYV155ZZx44on17gMAJMvOcAAAAAAA6uXpp5+OG264IbZu3ZpIv6uvvjr+67/+q15HjVdXV8esWbPqtRO7TZs2UVxcXOe6Aw0YMOCgNTvDASB37AwHAAAAAKDOvve978W4ceMSCcILCwvjBz/4QUybNq3e79wuKSmJdevW1av28ssvTyQMBwDyi53hAAAAAAActW3btsUNN9wQ/3bU0pgAACAASURBVPM//5NIv2OPPTYef/zxGD16dL17bN26NV544YV61fbr1y/69u1b73sfiZ3hAJA7wnAAAAAAAI7KH/7whxg3bly89dZbifTr169fzJw5M/r06dOgPs8++2zs2bOnznVt2rSJyy67rEH3BgDyl2PSAQAAAAA4olmzZsV5552XWBB+1VVXxaJFixochGez2Xj77bfrVXvxxRdHp06dGnT/I7EzHAByRxgOAAAAAMBh/cM//EN89atfjS1btjS4V0FBQTzwwAMxffr0BgfRe/bsiWeffbZetaeeemoMGTKkQfcHAPKbY9IBAAAAADik7du3x1/91V/FjBkzEunXuXPn+PnPfx5jx45NpN/8+fPrFdAXFBTEmDFjoqCgIJE5AID8JAwHAAAAAOAgq1atinHjxsWbb76ZSL+zzjorZs6cGZlMJpF+H3/8cSxatKhetUOHDo1TTjklkTkAgPzlmHQAAAAAAGp59tlnY8iQIYkF4WPHjo3FixcnFoTX1NTErFmz6vU+7s6dO8dFF12UyBwAQH4ThgMAAAAAsM8Pf/jDGDNmTGzevLnBvQoKCuLv//7v4+mnn47OnTsnMN1nSktLY+3atfWqvfzyy6N169aJzQIA5C/HpAMAAAAAEDt27IibbropnnzyyUT6derUKf77v/87rrzyykT6fW7btm0xb968etVmMpk466yzEp0HAMhfwnAAAAAAgBbuvffei3HjxsXvf//7RPr17ds3Zs6cGWeffXYi/fb329/+Nnbv3l3nutatW8fo0aMTnwcAyF+OSQcAAAAAaMHmzJkTQ4YMSSwIv+KKK6KkpKRRgvB33nknVq5cWa/aiy66KNGj2gGA/CcMBwAAAABooX70ox/F6NGj49NPP21wr4KCgrjvvvvi6aefjmOOOSaB6WqrqKiIZ555pl61J598cpx33nkJTwQA5DvHpAMAAAAAtDDl5eXx9a9/PX71q18l0q9jx47x2GOPxfjx4xPpdygvvvhibN68uc51BQUFMXbs2CgstDcMAFoaYTgAAAAAQAvy/vvvx7hx4+KNN95IpF/v3r1j5syZcc455yTS71DWr18fCxcurFftkCFD4tRTT014IgCgOfBX4QAAAAAAWoh58+bF4MGDEwvCL7vssliyZEmjBuEREbNmzYrq6uo613Xq1CkuvvjiRpgIAGgOhOEAAAAAAC3AP//zP8ell14amzZtSqTfd77znZg9e3Yce+yxifT7IkuXLo2PPvqoXrWXXXZZtGnTJuGJAIDmwjHpAAAAAAAptnPnzvjrv/7rePzxxxPp16FDh/jP//zPuOaaaxLpdzjbt2+P559/vl61ffv2jX79+iU8EQDQnAjDAQAAAABSas2aNTFu3LhYtmxZIv3OOOOMmDlzZvTv3z+Rfkfy3HPPxa5du+pcV1xcHJdffnkjTAQANCeOSQcAAAAASKH58+fH4MGDEwvCR40aFaWlpU0WhL/77ruxYsWKetWOGDGi0Y9vBwDynzAcAAAAACBl/vVf/zVGjRoVn3zySSL97rnnnnj22WejS5cuifQ7ksrKypg9e3a9ak866aQ4//zzE54IAGiOHJMOAAAAAJASu3btiltvvTWmTp2aSL/27dvHo48+Gtddd10i/Y7WSy+9FGVlZXWuKygoiDFjxkRhoX1gAIAwHAAAAAAgFT788MMYP358lJaWJtLv9NNPjxkzZsSAAQMS6Xe0Pvnkk1iwYEG9agcNGhTdunVLeCIAoLny1+MAAAAAAJq5l156KQYPHpxYEH7xxRdHaWlpkwfhERGzZs2K6urqOtd17Ngx/uzP/qwRJgIAmithOAAAAABAM/Zv//ZvMXLkyNiwYUMi/e6+++6YM2dOHH/88Yn0q4tly5bFmjVr6lV76aWXRtu2bROeCABozhyTDgAAAADQDO3evTtuv/32mDJlSiL92rVrFw8//HBcf/31ifSrqx07dsTcuXPrVdu7d+8499xzE54IAGjuhOEAAAAAAM3M2rVrY/z48VFSUpJIvx49esSMGTNi4MCBifSrjzlz5sTOnTvrXFdUVBSjR49uhIkAgObOMekAAAAAAM3IggULYtCgQYkF4SNGjIjS0tKcBuGrV6+O5cuX16t2+PDhcdxxxyU8EQCQBsJwAAAAAIBm4t///d/joosuivXr1yfS784774y5c+dG165dE+lXH5WVlTF79ux61Xbt2jUuuOCChCcCANLCMekAAAAAAHluz549MWnSpHj00UcT6de2bdt46KGHYuLEiYn0a4hXXnklNm3aVK/aMWPGRKtWrRKeCABIC2E4AAAAAEAeW7duXVx99dWxcOHCRPp169YtZsyYEYMHD06kX0Ns3LgxXnnllXrVDhw4MHr06JHwRABAmjgmHQAAAAAgTy1cuDAGDRqUWBA+bNiwWLp0aV4E4RERs2fPjqqqqjrXdejQIUaOHNkIEwEAaSIMBwAAAADIQ4888kiMGDEi1q1bl0i/SZMmxbx58+LEE09MpF9Dvf766/H+++/Xq/aSSy6Jdu3aJTsQAJA6jkkHAAAAAMgjFRUV8Td/8zfxs5/9LJF+bdq0iQcffDBuvvnmRPoloby8PObOnVuv2l69ekX//v0TnggASCNhOAAAAABAnli/fn38+Z//eb3fo32g0047LZ566qkYOnRoIv2SMnfu3CgvL69zXVFRUYwePboRJgIA0kgYDgAAAACQB0pKSmL8+PGxdu3aRPpdeOGFMW3atDj55JMT6ZeUDz74IF5//fV61Q4bNiyOP/74hCcCANLKO8MBAAAAAHJsypQp8ZWvfCWxIPzWW2+NF154Ie+C8Kqqqpg1a1a9ak844YS48MILE54IAEgzYTgAAAAAQI5UVlbGHXfcETfffHPs3r27wf1at24dDz/8cDz00ENRXFycwITJWrBgQWzcuLFetVdccUW0atUq4YkAgDRzTDoAAAAAQA5s2LAhJkyYEC+99FIi/U455ZR46qmn4oILLkikX9I+/fTTePnll+tVO2DAgDj99NOTHQgASD1hOAAAAABAEystLY3x48fHhx9+mEi/888/P6ZPnx6nnHJKIv0aw+zZs6OysrLOde3bt49Ro0Y1wkQAQNo5Jh0AAAAAoAlNnTo1hg0bllgQfsstt8SLL76Y10H48uXL47333qtX7ahRo6J9+/YJTwQAtATCcAAAAACAJlBZWRl33XVXTJw4MXbt2tXgfsXFxfHggw/GI488Eq1bt05gwsaxc+fOmDNnTr1qTz/99BgwYEDCEwEALYVj0gEAAAAAGtnGjRtjwoQJMX/+/ET6nXTSSTFt2rT48pe/nEi/xvT888/Hjh076lzXqlWruOKKKxphIgCgpRCGAwAAAAA0omXLlsVVV10VH3zwQSL9hgwZEtOnT49u3bol0q8xrVmzJl577bV61X75y1+OE044IeGJAICWxDHpAAAAAACN5PHHH48LL7wwsSD8xhtvjJdffrlZBOFVVVUxe/bsetV26dKlWex6BwDymzAcAAAAACBhVVVVMXny5Lj++utj586dDe5XVFQUP/3pT2PKlCnRpk2bBCZsfAsXLowNGzbUq/aKK66IoiIHmwIADeN3EwAAAAAACdq0aVNce+21MW/evET6de3aNZ588skYPnx4Iv2aQllZWbz44ov1qu3fv3/06tUr4YkAgJZIGA4AAAAAkJA33ngjxo0bF++//34i/QYNGhQzZsyI7t27J9KvqTzzzDNRWVlZ57p27drFJZdc0ggTAQAtkWPSAQAAAAAS8Ktf/Sr+9E//NLEg/IYbbohXXnml2QXhK1asiFWrVtWrduTIkdGhQ4eEJwIAWiphOAAAAABAA1RVVcW9994b1113XZSXlze4X1FRUfzkJz+JqVOnRtu2bROYsOns2rUrnnvuuXrV9ujRIwYOHJjwRABAS+aYdAAAAACAeiorK4uvfe1r8f+z9+fRWddn/vh/JSHsCIiAiIoicos7JYIIsoiyZjRB3Kt1bKe2x+nXz3F+7bSftsc5H+drTzvtTOdjW6fVWq1WURFCScIuqCC7WkrVKCKlCCIo+x6S3x91vuNazZ1XyPZ4/CXvcD3v56lpzDlXct1z5sxJknfcccfFE088ESNHjkySd7TNnz8/9uzZU+O53NzcKCwsrINGAEBzZhkOAAAAAJCFP/7xj1FUVBTr1q1Lkte/f/+YNm1a9OrVK0ne0bZx48ZYtWpVVrNDhgyJrl27Jm4EADR3zqQDAAAAANTQk08+GYMHD062CL/++utj8eLFjXYRXlVVFaWlpVFdXV3j2c6dO8fFF19cB60AgObOMhwAAAAA4HOqqqqK73znO3H11VfH3r17a52Xl5cXP/7xj+N3v/tdtGnTJkHD+rF06dLYsmVLVrMTJkyI/Pz8xI0AAJxJBwAAAAD4XHbs2BHXXXddzJo1K0lely5dYvLkyXHppZcmyasvO3fujIULF2Y1e/bZZ8dpp52WthAAwPsswwEAAAAAPsOf/vSnKCoqirVr1ybJO/fcc6OkpCROPfXUJHn1qby8PA4fPlzjudatW8eYMWPqoBEAwF85kw4AAAAA8DdMnTo1LrzwwmSL8GuuuSaWLFnSJBbhr7zySrz22mtZzY4aNSrat2+fuBEAwP+wDAcAAAAA+BTf+973YtKkSbFnz55aZ+Xm5sYPf/jDmDx5crRt2zZBu/p18ODBmDlzZlazJ554YhQUFCRuBADwYc6kAwAAAAB8xM6dO+OLX/xilJaWJsnr3LlzTJ48OUaPHp0kryFYsGBB7N69u8Zzubm5UVhYWAeNAAA+zDIcAAAAAOADXn311bjiiiuyPv/9UWeffXaUlJTEaaedliSvIdi0aVMsX748q9nBgwdH9+7dEzcCAPg4Z9IBAAAAAN73+9//PgYNGpRsET5p0qRYunRpk1qEV1VVRWlpaVRXV9d4tlOnTjF8+PA6aAUA8HGW4QAAAAAAEfEv//IvUVRUFLt27ap1Vm5ubtx9993x5JNPRrt27RK0aziWL18emzdvzmp2/PjxkZ+fn7gRAMAncyYdAAAAAGjWdu/eHTfeeGNMnz49SV6nTp3i0UcfjXHjxiXJa0h27doVCxYsyGr2zDPPjNNPPz1xIwCAT2cZDgAAAAA0W6+99loUFRXFK6+8kiTvzDPPjOnTp0efPn2S5DU0M2fOjEOHDtV4rlWrVjF27Ng6aAQA8OmcSQcAAAAAmqXS0tIYOHBgskV4cXFxLFu2rMkuwisqKuLVV1/NavaSSy6JDh06JG4EAPC3WYYDAAAAAM3OXXfdFZdffnns3Lmz1lk5OTlx1113xdSpU6N9+/YJ2jU8hw4divLy8qxmTzjhhLjgggsSNwIA+GzOpAMAAAAAzcaePXvipptuimnTpiXJ69ixYzzyyCNRWFiYJK+hWrhwYezatavGczk5OVFYWBg5OTl10AoA4G+zDAcAAAAAmoW1a9dGUVFR/OlPf0qSd8YZZ8T06dOjb9++SfIaqrfffjuWLl2a1eygQYOiR48eiRsBAHw+zqQDAAAAAE3ezJkz44ILLki2CL/88stj2bJlTX4RXl1dHTNmzIjq6uoazx5zzDExcuTIOmgFAPD5WIYDAAAAAE3aD37wgygsLIwdO3bUOisnJyfuvPPOmD59ehxzzDEJ2jVsK1asiE2bNmU1O378+GjZsmXiRgAAn58z6QAAAABAk7R37964+eabY8qUKUnyOnToEA8//HBcccUVSfIaut27d8fTTz+d1ewZZ5wRmUwmcSMAgJqxDAcAAAAAmpx169ZFUVFR/PGPf0yS17dv3ygpKYl+/folyWsMZs2aFQcPHqzxXMuWLWPcuHF10AgAoGacSQcAAAAAmpQ5c+ZEQUFBskX4hAkTYvny5c1qEf7666/Hyy+/nNXsyJEjm8UJeQCg4bMMBwAAAACajB/96Ecxfvz42L59e62zcnJy4rvf/W78/ve/j44dOyZo1zgcPnw4ysvLs5rt0aNHDBw4MHEjAIDsOJMOAAAAADR6+/bti1tuuSUef/zxJHnt27ePhx56KCZOnJgkrzF55plnYseOHTWey8nJicLCwsjN9TtYAEDDYBkOAAAAADRqb775ZhQXF8cf/vCHJHl9+vSJkpKSOOuss5LkNSZbtmyJJUuWZDV7wQUXxAknnJC4EQBA9vyIHgAAAADQaM2fPz8uuOCCZIvwsWPHxooVK5rlIjwiorS0NKqqqmo816FDh7jkkkvqoBEAQPYswwEAAACARuknP/lJjBkzJt59990ked/+9rejrKwsOnXqlCSvsVm1alVs3Lgxq9mxY8dGq1atEjcCAKgdZ9IBAAAAgEZl//798ZWvfCUeffTRJHnt2rWL3/zmN3HVVVclyWuM9uzZE/Pmzctqtm/fvnHmmWcmbgQAUHuW4QAAAABAo/HnP/85iouL48UXX0yS17t37ygpKYlzzjknSV5jNXv27Dhw4ECN5/Lz82PcuHF10AgAoPacSQcAAAAAGoUFCxZEQUFBskX46NGjY8WKFc1+Ef7GG2/EmjVrspodMWJEsz0rDwA0fJbhAAAAAECD99Of/jRGjx4d27ZtS5L3zW9+M8rLy+PYY49NktdYVVZWRllZWVaz3bt3jwsvvDBxIwCAdJxJBwAAAAAarAMHDsStt94av/3tb5PktW3bNn7961/HtddemySvsXv22Wdj+/btNZ7LycmJwsLCyM31+1YAQMNlGQ4AAAAANEh/+ctfYuLEibFy5cokeaecckqUlJTEeeedlySvsdu6dWssXrw4q9kBAwbEiSeemLgRAEBafmwPAAAAAGhwnn322SgoKEi2CB81alSsXLnSIvwDSktLo6qqqsZz7du3j1GjRtVBIwCAtCzDAQAAAIAG5Wc/+1lceuml8c477yTJu+OOO2L27NnRpUuXJHlNwYsvvhgbNmzIanbMmDHRunXrxI0AANJzJh0AAAAAaBAOHjwYX//61+M3v/lNkrw2bdrEfffdFzfccEOSvKZi7969MXfu3Kxm+/TpE2effXbiRgAAdcMyHAAAAACod2+99VZMnDgxli9fniTv5JNPjpKSkujfv3+SvKZkzpw5sX///hrPtWjRIsaPH18HjQAA6oYz6QAAAABAvVq8eHEMGDAg2SJ8xIgRsXLlSovwT/Dmm2/G6tWrs5odPnx4dO7cOXEjAIC6YxkOAAAAANSbe++9N0aOHBlbtmxJknf77bfH3Llzo2vXrknympLKysooKyvLarZbt24xePDgxI0AAOqWM+kAAAAAwFF36NChuO222+L+++9Pkte6dev45S9/GTfddFOSvKZo0aJF8e6772Y1W1hYGHl5eYkbAQDULctwAAAAAOCo2rx5c1x55ZWxZMmSJHknnXRSTJ06NQoKCpLkNUXbtm2LRYsWZTX7hS98IU466aTEjQAA6p4z6QAAAADAUbNkyZIYMGBAskX4sGHDYuXKlRbhn6GsrCyOHDlS47l27drFpZdeWgeNAADqnmU4AAAAAHBU3HfffTFixIjYvHlzkrzbbrst5s2bF926dUuS11S99NJLsX79+qxmR48eHW3atElbCADgKHEmHQAAAACoU4cPH45vfOMb8ctf/jJJXqtWreIXv/hF3HLLLUnymrJ9+/bF3Llzs5rt3bt3nHvuuYkbAQAcPZbhAAAAAECdefvtt2PSpEmxePHiJHk9e/aMp556KgYNGpQkr6mbO3du7Nu3r8ZzLVq0iAkTJtRBIwCAo8eZdAAAAACgTixbtiwKCgqSLcKHDBkSK1eutAj/nNavXx8vvfRSVrMXX3xxHHvssYkbAQAcXZbhAAAAAEByDzzwQAwfPjzeeuutJHm33nprLFiwII4//vgkeU3dkSNHoqysLKvZ4447LoYMGZK4EQDA0WcZDgAAAAAkc/jw4bjtttviy1/+chw8eLDWeS1btoxf/epX8V//9V+Rn5+foGHzsHjx4ti2bVtWs4WFhZGXl5e4EQDA0ec9wwEAAACAJN55552YNGlSPPfcc0nyevToEU899VQMHjw4SV5z8d5772X97+D888+PXr16JW4EAFA/LMMBAAAAgFpbuXJlFBcXx8aNG5PkXXjhhTF16tTo0aNHkrzmpKysLCorK2s817Zt27jsssvqoBEAQP1wJh0AAAAAqJWHHnooLr744mSL8K985SvxzDPPWIRnYfXq1bFu3bqsZi+77LJo27Zt4kYAAPXHMhwAAAAAyEplZWXcfvvtcfPNN8eBAwdqnZefnx/33ntv3HfffdGyZcsEDZuX/fv3x5w5c7KaPeWUU+L8889P3AgAoH45kw4AAAAA1NjWrVvj6quvjoULFybJ6969e0yZMiWGDh2aJK85mjdvXuzdu7fGc3l5eTFhwoQ6aAQAUL8swwEAAACAGnnhhReiuLg4NmzYkCRv4MCBMXXq1OjZs2eSvOZow4YN8cILL2Q1O3To0DjuuOMSNwIAqH/OpAMAAAAAn9sjjzwSQ4cOTbYI//u///t49tlnLcJr4ciRI1FWVpbVbJcuXfw2PgDQZFmGAwAAAACf6ciRI3HHHXfEjTfeGPv37691XosWLeKee+6JBx54IFq1apWgYfO1ZMmSeOedd7KanTBhQrRo4YAoANA0+S4HAAAAAPib3n333bjmmmti/vz5SfK6desWTz75ZAwbNixJXnO2ffv2eOaZZ7KaPffcc+PUU09N3AgAoOGwDAcAAAAAPtUf/vCHKCoqivXr1yfJKygoiKlTp8ZJJ52UJK+5Ky8vj8rKyhrPtWnTJkaPHl0HjQAAGg5n0gEAAACATzR58uS46KKLki3Cb7rppnjuuecswhNZs2ZNrF27NqvZyy67LNq1a5e4EQBAw2IZDgAAAAB8yJEjR+Jb3/pWXHfddbFv375a57Vo0SJ++tOfxkMPPRStW7dO0JADBw7E7Nmzs5o9+eSTo3///okbAQA0PM6kAwAAAAD/n+3bt8e1114bc+bMSZJ33HHHxZNPPhkjRoxIksdfzZ8/P/bs2VPjudzc3CgsLKyDRgAADY9lOAAAAAAQERF//OMfo6ioKNatW5ckr3///jFt2rTo1atXkjz+auPGjbFq1aqsZocMGRJdu3ZN3AgAoGFyJh0AAAAAiCeffDIGDx6cbBF+ww03xOLFiy3CE6uqqorS0tKorq6u8Wznzp1j2LBhddAKAKBhsgwHAAAAgGasqqoqvvOd78TVV18de/furXVeXl5e/OQnP4lHHnkk2rRpk6AhH7R06dLYsmVLVrMTJkyIFi0cCwUAmg/f+QAAAABAM7Vjx4647rrrYtasWUnyunTpEo8//niMGjUqSR4ftmPHjli4cGFWs2effXacdtppaQsBADRwluEAAAAA0Az96U9/iqKioli7dm2SvPPOOy9KSkrilFNOSZLHx82cOTMOHz5c47nWrVvHmDFj6qARAEDD5kw6AAAAADQzU6dOjQsvvDDZIvzaa6+N559/3iK8Dr388svx2muvZTV76aWXRvv27RM3AgBo+CzDAQAAAKCZqKqqiu9973sxadKk2LNnT63z8vLy4kc/+lE89thj0bZt2wQN+SQHDx7M+pT9iSeeGAMGDEjcCACgcXAmHQAAAACagZ07d8YNN9wQZWVlSfI6d+4ckydPjtGjRyfJ49M9/fTTsXv37hrP5ebmRmFhYR00AgBoHCzDAQAAAKCJe+WVV6KoqCjrM9sfdc4550RJSUn07t07SR6fbtOmTbFixYqsZgcPHhzdu3dP3AgAoPFwJh0AAAAAmrDp06fHoEGDki3CJ02aFEuWLLEIPwqqqqqitLQ0qqurazzbqVOnGD58eB20AgBoPCzDAQAAAKCJuvPOO6O4uDirE9sflZubG3fffXc8+eST0a5duwTt+CzLly+PzZs3ZzU7fvz4yM/PT9wIAKBxcSYdAAAAAJqYXbt2xY033hi///3vk+R16tQpHn300Rg3blySPD7brl27YsGCBVnNnnnmmXH66acnbgQA0PhYhgMAAABAE1JRURFFRUXx6quvJsk788wzY/r06dGnT58keXw+M2fOjEOHDtV4rlWrVjF27Ng6aAQA0Pg4kw4AAAAATURpaWkMHDgw2SK8uLg4li1bZhF+lL366qtZ/zscNWpUdOjQIXEjAIDGyTIcAAAAAJqAu+66Ky6//PLYtWtXrbNycnLirrvuiqlTp0b79u0TtOPzOnToUMycOTOr2Z49e0ZBQUHiRgAAjZcz6QAAAADQiO3evTu+9KUvxbRp05LkdezYMR555JEoLCxMkkfNLFy4MKsfaMjJyYnCwsLIycmpg1YAAI2TZTgAAAAANFKvv/56FBUVxcsvv5wk74wzzojp06dH3759k+RRM2+//XYsXbo0q9kLL7wwjj/++MSNAAAaN2fSAQAAAKARKi8vj4EDByZbhF9++eWxbNkyi/B6Ul1dHTNmzIjq6uoaz3bs2DFGjBiRvhQAQCNnGQ4AAAAAjczdd98df/d3fxc7duyodVZOTk7ceeedMX369DjmmGMStCMbK1asiE2bNmU1O27cuGjZsmXiRgAAjZ8z6QAAAADQSOzduzduvvnmmDJlSpK8Dh06xMMPPxxXXHFFkjyys3v37nj66aezmj3jjDMik8kkbgQA0DRYhgMAAABAI7Bu3booKiqKP/7xj0ny+vbtGyUlJdGvX78keWRv1qxZcfDgwRrPtWzZMsaNG1cHjQAAmgZn0gEAAACggZszZ04UFBQkW4QXFhbG8uXLLcIbgNdffz3r930fOXKk0/YAAH+DZTgAAAAANGA/+tGPYvz48bF9+/ZaZ+Xk5MT3vve9mDFjRnTs2DFBO2rj8OHDUV5entVsjx49YuDAgYkbAQA0Lc6kAwAAAEADtG/fvrjlllvi8ccfT5LXvn37+O1vfxvFxcVJ8qi9Z555Jnbs2FHjuZycnCgsLIzcmMSVZwAAIABJREFUXL/rBADwt1iGAwAAAEAD8+abb0ZxcXH84Q9/SJLXp0+fKCkpibPOOitJHrW3ZcuWWLJkSVazAwcOjBNOOCFxIwCApsePDgIAAABAAzJ//vy44IILki3Cx40bFytWrLAIb2BKS0ujqqqqxnMdOnSIkSNH1kEjAICmxzIcAAAAABqIn/zkJzFmzJh49913k+R95zvfidLS0ujUqVOSPNJYuXJlbNy4MavZcePGRatWrRI3AgBompxJBwAAAIB6tn///vjKV74Sjz76aJK8du3axYMPPhiTJk1Kkkc6e/bsifnz52c127dv3+jXr1/iRgAATZdlOAAAAADUoz//+c9RXFwcL774YpK83r17R0lJSZxzzjlJ8khr9uzZceDAgRrP5efnx/jx4+ugEQBA0+VMOgAAAADUkwULFkRBQUGyRfjo0aNj5cqVFuEN1BtvvBFr1qzJanbEiBHRsWPHxI0AAJo2y3AAAAAAqAc//elPY/To0bFt27Yked/61reivLw8OnfunCSPtA4fPhxlZWVZzXbv3j0uvPDCxI0AAJo+Z9IBAAAA4Cg6cOBAfPWrX42HH344SV7btm3jgQceiGuuuSZJHnXjueeei+3bt9d4LicnJwoLCyM31+81AQDUlGU4AAAAABwlf/nLX6K4uDhWrVqVJO/UU0+NadOmxXnnnZckj7qxdevWWLx4cVazBQUFceKJJyZuBADQPPhxQgAAAAA4Cp599tkoKChItggfNWpUrFixwiK8ESgtLY2qqqoaz7Vv3z4uueSSOmgEANA8WIYDAAAAQB275557YtSoUfHOO+8kybvjjjti9uzZ0aVLlyR51J0XXnghNmzYkNXs2LFjo3Xr1okbAQA0H86kAwAAAEAdOXjwYHzta1+LBx98MElemzZt4r777osbbrghSR51a+/evTFv3rysZvv06RNnnXVW4kYAAM2LZTgAAAAA1IG33norJk6cGMuXL0+Sd/LJJ0dJSUn0798/SR51b86cObF///4az7Vo0SLGjx9fB40AAJoXZ9IBAAAAILFFixbFgAEDki3CR4wYEStXrrQIb0TWrVsXq1evzmp2+PDh0blz58SNAACaH8twAAAAAEjo3nvvjUsuuSS2bNmSJO/222+PuXPnRteuXZPkUfcqKyujrKwsq9lu3brF4MGDEzcCAGienEkHAAAAgAQOHToUt912W9x///1J8lq3bh2//OUv46abbkqSx9GzaNGieO+997KaLSwsjLy8vMSNAACaJ8twAAAAAKilTZs2xZVXXhlLly5NknfSSSfF1KlTo6CgIEkeR8+2bdti0aJFWc0OGDAgTjrppMSNAACaL2fSAQAAAKAWnn/++SgoKEi2CB82bFisXLnSIryRKisriyNHjtR4rl27djFq1Kg6aAQA0HxZhgMAAABAlu67774YOXJkbN68OUnebbfdFvPmzYtu3bolyePoeumll2L9+vVZzY4ZMybatGmTthAAQDPnTDoAAAAA1NDhw4fjG9/4Rvzyl79MkteqVau499574+///u+T5HH07du3L+bOnZvVbO/eveOcc85J3AgAAMtwAAAAAKiBt99+OyZNmhSLFy9OktezZ8+YOnVqDBw4MEke9WPu3Lmxb9++Gs+1aNEiJkyYUAeNAABwJh0AAAAAPqdly5ZFQUFBskX4kCFDYtWqVRbhjdz69evjpZdeymr24osvjmOPPTZxIwAAIizDAQAAAOBzeeCBB2L48OHx1ltvJcn72te+FgsWLIju3bsnyaN+HDlyJMrKyrKaPe6442LIkCGJGwEA8N8swwEAAADgbzh8+HDcdttt8eUvfzkOHjxY67yWLVvGfffdF/fee2/k5+cnaEh9Wrx4cWzbti2r2cLCwsjLy0vcCACA/+Y9wwEAAADgU7zzzjsxadKkeO6555Lk9ejRI5566qkYPHhwkjzq13vvvZf158b5558fvXr1StwIAIAPsgwHAAAAgE+wcuXKKC4ujo0bNybJGzx4cDz11FPRo0ePJHnUv7KysqisrKzxXNu2beOyyy6rg0YAAHyQM+kAAAAA8BEPPfRQXHzxxckW4f/wD/8QCxcutAhvQlavXh3r1q3Lavayyy6Ltm3bJm4EAMBHWYYDAAAAwPsqKyvj9ttvj5tvvjkOHDhQ67z8/Py4995741e/+lW0bNkyQUMagv3798ecOXOymj3llFPi/PPPT9wIAIBP4kw6AAAAAETE1q1b4+qrr46FCxcmyTv++ONjypQpMWTIkCR5NBzz5s2LvXv31nguLy8vJkyYUAeNAAD4JJbhAAAAADR7L7zwQhQXF8eGDRuS5A0aNCieeuqp6NmzZ5I8Go4NGzbECy+8kNXs0KFD47jjjkvcCACAT+NMOgAAAADN2iOPPBJDhw5Ntgi/5ZZb4plnnrEIb4KOHDkSpaWlWc126dIlhg4dmrgRAAB/i2U4AAAAAM3SkSNH4o477ogbb7wx9u/fX+u8/Pz8+NnPfha//vWvo1WrVgka0tAsWbIktm7dmtXshAkTokULhzoBAI4m330BAAAA0Oy8++67cc0118T8+fOT5HXr1i2mTJkSF198cZI8Gp7t27fHM888k9XsueeeG6eeemriRgAAfBbLcAAAAACalZdeeimKi4tj/fr1SfIKCgpi2rRpceKJJybJo2EqLy+PysrKGs+1adMmRo8eXQeNAAD4LM6kAwAAANBsTJ48OYYMGZJsEf6lL30pnnvuOYvwJm7NmjWxdu3arGYvu+yyaNeuXeJGAAB8HpbhAAAAADR5R44ciW9+85tx3XXXxb59+2qd16JFi/jP//zPePDBB6N169YJGtJQHThwIGbPnp3V7Mknnxz9+/dP3AgAgM/LmXQAAAAAmrT33nsvrr322pg7d26SvK5du8YTTzwRI0aMSJJHwzZ//vzYs2dPjefy8vKisLCwDhoBAPB5WYYDAAAA0GStXr06iouLY926dUnyvvCFL8S0adPi5JNPTpJHw7Zx48ZYtWpVVrMXXXRRdO3aNXEjAABqwpl0AAAAAJqkJ598Mi666KJki/AbbrghFi1aZBHeTFRVVUVpaWlUV1fXeLZz584xbNiwOmgFAEBNWIYDAAAA0KRUVVXFt7/97bj66qtj7969tc7Ly8uLn/zkJ/HII49EmzZtEjSkMVi6dGls2bIlq9kJEyZEixaOcgIA1DffkQEAAADQZGzfvj2uv/76mDVrVpK8Ll26xOOPPx6jRo1KkkfjsGPHjli4cGFWs2effXacdtppaQsBAJAVy3AAAAAAmoQ1a9ZEUVFRvPHGG0nyzjvvvCgpKYlTTjklSR6Nx8yZM+Pw4cM1nmvdunWMGTOmDhoBAJANZ9IBAAAAaPSmTp0agwcPTrYIv/baa+P555+3CG+GXn755Xjttdeymr300kujffv2iRsBAJAty3AAAAAAGq2qqqr43ve+F5MmTYo9e/bUOi8vLy9+9KMfxWOPPRZt27ZN0JDG5ODBg1mf2D/ppJNiwIABiRsBAFAbzqQDAAAA0Cjt3LkzbrjhhigrK0uS17lz55g8eXKMHj06SR6Nz9NPPx27d++u8Vxubm5MmDChDhoBAFAbluEAAAAANDqvvPJKFBUVZX3O+qPOOeecKCkpid69eyfJo/HZtGlTrFixIqvZwYMHR/fu3RM3AgCgtpxJBwAAAKBRmT59egwaNCjZIvyqq66KJUuWWIQ3Y1VVVVFaWhrV1dU1nu3UqVMMHz68DloBAFBbluEAAAAANBp33nlnFBcXZ3XK+qNyc3PjBz/4QTzxxBPRrl27BO1orJYvXx6bN2/Oanb8+PGRn5+fuBEAACk4kw4AAABAg7dr16648cYb4/e//32SvE6dOsVjjz0WY8eOTZJH47Vr165YsGBBVrNnnnlmnH766YkbAQCQimU4AAAAAA1aRUVFFBUVxauvvpok76yzzoqSkpLo06dPkjwat5kzZ8ahQ4dqPNeqVSs/TAEA0MA5kw4AAABAg1VaWhoDBw5MtgifOHFiLF261CKciIh49dVXs/7cGjVqVHTo0CFxIwAAUrIMBwAAAKBBuuuuu+Lyyy+PXbt21TorNzc37rrrrnjqqaeiffv2CdrR2B06dChmzpyZ1WzPnj2joKAgcSMAAFJr8GfSM5lMz4gYEBEnRkSniDgQEe9FxJ8i4qWKiorD9VgPAAAAgCzl5n7y72ns3r07vvSlL8W0adOSvE7Hjh3jd7/7XUyYMCFJHk3DggULsvpBi9zc3CgsLIycnJw6aAUAQEoNchmeyWT6RcSNETEpIk7/G391TyaTeSQiflJRUbH2qJQDAAAAoFZycnLi5JNPjry8vI997PXXX4+ioqJ4+eWXk7xWv379oqSkJPr27Zskj6Zh8+bNsWzZsqxmBw0aFMcff3ziRgAA1IUGdSY9k8lcnMlk5kfEyxHxnfjbi/CIiPYR8bWIWJ3JZP6xrvsBAAAAUDv5+fnRt2/fOO644z72sfLy8hg4cGCyRfgVV1wRy5YtswjnQ6qrq6O0tDSqq6trPNuxY8cYMWJE+lIAANSJhvab4f8aEcM+8OeqiFgVESsioiL+eh49P/66JJ8YEZn3/16biLgnk8l0rKio+H+PXl0AAAAAPq927drFaaedFvn5+R/72N133x3f//73o6qqqtavk5OTE3feeWfceeedtc6i6VmxYkVs2rQpq9lx48ZFy5YtEzcCAKCuNLRl+Lr46zL81Yj4eURMqaioePuT/mImk/leRHw9Iv4j/rogj4j410wm82JFRUX50SgLAAAAwOeTm5sbffv2/dj7hO/duzduvvnmmDJlSpLXOeaYY+Lhhx+Oyy+/PEkeTcvu3bvj6aefzmr2jDPOiEwm89l/EQCABqOhLcN/GRFTI6K0oqLib94pqqioqIqIn2cymbfen8l5/0P/nslkZr3/cQAAAAAagE96f/A33ngjioqKYs2aNUleI5PJRElJSZxxxhlJ8mh6Zs2aFQcPHqzxXMuWLWPcuHF10AgAgLrUoN4zvKKiYmlFRcWMz1qEf2SmJCIe+MCjTEQMTl4OAAAAgGRmz54dF1xwQbJFeGFhYSxfvtwinE/12muvZf1+9Jdcckkcc8wxiRsBAFDXGtQyvBZ+/JE/j62XFgAAAAB8ph/+8Icxfvz42L59e62zcnJy4vvf/37MmDHDspJPdfjw4Sgvz+6dFXv06BEXXHBB4kYAABwNDe1MelYqKipeff9ces/3H51Sj3UAAAAA+AT79u2LW265JR5//PEkeR06dIiHHnooiouLk+TRdC1cuDB27txZ47mcnJwoLCz82HvdAwDQODSJZfj7Nsb/LMO71mcRAAAAAD7szTffjKKioli9enWSvNNPPz1KSkrizDPPTJJH07Vly5ZYunRpVrMDBw6ME044IXEjAACOlqb0I41tPvDPNf8xTwAAAADqxLx586KgoCDZInz8+PGxfPlyi3A+l9LS0qiqqqrxXIcOHWLkyJF10AgAgKOlSSzDM5lMy4jo84FHb9ZXFwAAAAD+x49//OMYO3ZsvPfee0nyvvOd78SMGTOiU6dOSfJo2lauXBkbN27ManbcuHHRqlWrxI0AADiamsqZ9OER0fYDf55dX0UAAAAAiNi/f398+ctfjsceeyxJXrt27eLBBx+MSZMmJcmj6duzZ0/Mnz8/q9m+fftGv379EjcCAOBoayrL8Fs/8M9bI+K5+ipSW5WVlZGTk1PfNTgKKisrP9czgKbG1z+gOfM1EGhqcnNzIy8v72PP//znP0dxcXG8+OKLSV6nd+/eUVJSEuecc87HPlZVVRVHjhxJ8jo0Xp/0uTh79uw4cOBAjbPy8/Nj/PjxH3pWXV3tv9lkzfeAQHPma2Dz1hD+XTf6ZXgmk+kbEVd84NE9FRUV9f+/bJZeeeWV+q5APXr55ZfruwJAvfD1D2jOfA0EGqMWLVpE7969o0OHDh/72IIFC+Lqq6+Obdu2JXmt0aNHx+TJk6Nz584fel5dXR1vvfVWbNmyJcnr0Hi1bds2zjjjjA89e+ONN2LNmjVZ5Y0cOTI6duz4oWfr169PduofInwPCDRvvgZyNDWF9wz/QfzPUn9PRPy8HrsAAAAANGlt27aNfv36feIi/Kc//WmMHj062SL8W9/6VpSXl39sEV5ZWRlr1661CCciIk4++eQPXVo8fPhwlJWVZZV1/PHHx6BBgz70bNeuXRbhAACNVKP+zfBMJjM2IiZ+4NFdFRUVvjMFAAAAqAPHHnts9OrVK3JzP/z7FQcOHIivfvWr8fDDDyd5nbZt28YDDzwQ11xzzcc+tn///li7dm0cOnQoyWvRuHXt2jXatWv3oWfPPfdcbN++vcZZOTk5UVhY+KHP76qqqtiwYUOtewIAUD8a7TI8k8l0iIj/+sCj1yLip/VUBwAAAKBJO/HEE6N79+4fe/6Xv/wliouLY9WqVUle59RTT41p06bFeeed97GPbd++PdavXx9VVVVJXovGLT8/P3r27PmhZ1u3bo3FixdnlVdQUPCxvLfffjsOHjyYdUcAAOpXo12GR8QvIqLX+/9cGRFfqqioaPQ/EtyvX7/Iz8+v7xocBZWVlR97X4wzzzwzWrRozP+3BPhsvv4BzZmvgUBjlZeX97HfBo+IePbZZ+Oqq66Kd955J8nrjBo1Kh5//PHo0qXLh55XV1dHVVVVtG/fPs4+++wkr0Xj90mfl6WlpVn9sET79u1j1KhRH3pWXV0dXbt2ja5du9aqJ/geEGjOfA1s3g4fPhyvvPJKvXZolJ9pmUzmxoj44gcefbeiomJpffVJqUWLFpbhzZh//0Bz5esf0Jz5Ggg0Vvfcc0/ccccdUVlZmSTvn/7pn+KHP/xh5OXlfexjOTk5kZeX94kfg//2wgsvZH3SfOzYsdGqVasPPcvJyfHfaOqM7wGB5szXwOajurq6vis0vmV4JpM5PyJ++YFH0yPi3+qpDgAAAECzcvDgwfja174WDz74YJK8Nm3axP333x/XX399kjyap71798a8efOymu3Tp0+cddZZiRsBANAQNKpleCaTOS4iSiKizfuPXo+/nkev/x8rAAAAAGji3nrrrZg4cWIsX748SV6vXr1i2rRp0b9//yR5NF9z5syJ/fv313guPz8/JkyYUAeNAABoCD7+Zk8NVCaTaR1/XYT/9/uE74qIyysqKnbWXysAAACA5mHRokUxYMCAZIvwkSNHxsqVKy3CqbV169bF6tWrs5odPnx4dOrUKXEjAAAaikaxDM9kMjkR8duIGPL+oyMRcV1FRcWr9dcKAAAAoHm4995745JLLoktW7Ykybv99ttjzpw5cdxxxyXJo/mqrKyMsrKyrGa7desWF154YeJGAAA0JI3lTPqPIuKqD/z5GxUVFeX1VQYAAACgOTh06FDcdtttcf/99yfJa926dfzqV7+KG2+8MUkeLFq0KN57772sZgsLCyMvLy9xIwAAGpIGvwzPZDL/T0T8/z7w6N8qKirura8+AAAAAM3Bpk2b4sorr4ylS5cmyTvppJNi2rRpMWDAgCR5sG3btli0aFFWswMGDIiTTjopcSMAABqaBn0mPZPJTIyI//jAoyci4p/rqQ4AAABAs/D8889HQUFBskX4sGHDYuXKlRbhJFVWVhZHjhyp8Vy7du3i0ksvrYNGAAA0NA12GZ7JZC6KiN/F/3RcFBE3VVRUVNdfKwAAAICm7Ve/+lWMHDkyNm/enCTvH//xH2P+/PnRrVu3Dz0/cuRIVFZWJnkNmp+XXnop1q9fn9XsmDFjonXr1mkLAQDQIDXIZXgmk8lExO8j4r+/K62IiCsqKioO1l8rAAAAgKbr0KFDceutt8att94ahw4dqnVeq1at4je/+U3cc8890aLFh9+p78CBA/Hqq69GdbXfeaDm9u3bF3PmzMlqtnfv3nHOOeckbgQAQEPV4N4zPJPJdI+ImRHR5f1HWyJiXEVFxXv11woAAACg6Xr77bfjyiuvjOeffz5JXs+ePWPq1KkxcODAj31sx44dsX79+qzOW0NExNy5c2P//v01nmvRokVMmDChDhoBANBQNahleCaTaRcRZRFx6vuP9kZEYUVFxZv11woAAACg6Vq2bFlMnDgxNm3alCRv6NChMWXKlOjevfvHPrZ58+Zkr0PztH79+njppZeymh02bFgce+yxiRsBANCQNZgz6ZlMpkVEPBkRA95/dCQirqmoqFhZf60AAAAAmq5f//rXMXz48GQL6q9//evx9NNPf+IivLKy0iKcWjly5EiUlZVlNdu1a9e46KKLEjcCAKCha0i/Gf7ziBj3gT/fVlFRkd13twAAAAB8qsOHD8f/+l//K37xi18kyWvZsmX8/Oc/j6985Suf+ne8Pzi1tXjx4ti2bVtWsxMmTIi8vLzEjQAAaOgaxDI8k8l0i4ivfuBRZUR8I5PJfCPLyOqI+H5FRUVJrcsBAAAANCFbtmyJq666Kp577rkkeSeccEI89dRTceGFFybJg0/y7rvvZv05279//+jVq1fiRgAANAYNYhkeEW0+8ucWEXFWLTPPjwjLcAAAAID3rVixIiZOnBgbN25MknfRRRfFlClTokePHkny4NOUl5dHZWVljefatm0bl112WR00AgCgMWgo7xm+KyL2Js70JlQAAAAA73vwwQdj2LBhyRbhX/3qV2PBggUW4dS51atXx7p167KaHT16dLRp89HfwwEAoLloEL8ZXlFRsT0i2td3DwAAAICmprKyMu6444645557kuS1bNky/u///b9x6623JsmDv2X//v0xZ86crGZPOeWUOO+88xI3AgCgMWkQy3AAAAAA0tu6dWtcddVV8cwzzyTJO/7442PKlCkxZMiQJHnwWebNmxd799b8oGReXl4UFhbWQSMAABoTy3AAAACAJuiFF16I4uLi2LBhQ5K8QYMGxVNPPRU9e/ZMkgefZcOGDfHCCy9kNTt06NDo0qVL4kYAADQ2DeU9wwEAAABI5JFHHomhQ4cmW4Tfcsst8cwzz1iEc9QcOXIkSktLs5rt0qVLDB06NHEjAAAaI8twAAAAgCbiyJEjcccdd8SNN94Y+/fvr3Vefn5+/OxnP4tf//rX0apVqwQN4fNZsmRJbN26NavZCRMmRIsWDmICAOBMOgAAAECT8O6778Y111wT8+fPT5LXrVu3mDJlSlx88cVJ8uDz2r59e9bvc3/eeefFqaeemrgRAACNlWU4AAAAQCP30ksvRXFxcaxfvz5JXkFBQUybNi1OPPHEJHlQE+Xl5VFZWVnjuTZt2sTo0aProBEAAI2VM+kAAAAAjdjkyZNjyJAhyRbhX/rSl+K5556zCKderFmzJtauXZvV7GWXXRZt27ZN3AgAgMbMMhwAAACgETpy5Eh885vfjOuuuy727dtX67wWLVrEf/7nf8aDDz4YrVu3TtAQaubAgQMxe/bsrGZ79eoV/fv3T9wIAIDGzpl0AAAAgEbmvffei2uvvTbmzp2bJK9r167xxBNPxIgRI5LkQTbmz58fe/bsqfFcXl5eTJgwoQ4aAQDQ2FmGAwAAADQiq1evjuLi4li3bl2SvC984Qsxbdq0OPnkk5PkQTY2btwYq1atymr2oosuiq5duyZuBABAU+BMOgAAAEAj8eSTT8ZFF12UbBH+xS9+MRYtWmQRTr2qqqqK0tLSqK6urvHsscceG8OGDauDVgAANAWW4QAAAAANXFVVVXz729+Oq6++Ovbu3VvrvLy8vPj3f//3ePjhh6NNmzYJGkL2li5dGlu2bMlqdvz48dGiheOXAAB8Mt8pAgAAADRg27dvj+uvvz5mzZqVJK9Lly7x+OOPx6hRo5LkQW3s2LEjFi5cmNXsOeecE6eddlraQgAANCmW4QAAAAAN1Jo1a6KoqCjeeOONJHnnn39+TJs2LU455ZQkeVBb5eXlcfjw4RrPtW7dOkaPHl0HjQAAaEqcSQcAAABogJ566qkYPHhwskX4tddeG4sXL7YIp8F4+eWX4/XXX89q9tJLL4327dsnbgQAQFNjGQ4AAADQgFRVVcV3v/vduOqqq2LPnj21zsvLy4t/+7d/i8ceeyzatm2boCHU3sGDB7M+/X/SSSfFgAEDEjcCAKApciYdAAAAoIHYuXNnXH/99VFeXp4k79hjj43JkyfHZZddliQPUnn66adj9+7dNZ7Lzc2NwsLCOmgEAEBTZBkOAAAA0AC88sorUVRUFK+99lqSvHPPPTemTZsWvXv3TpIHqWzatClWrFiR1ezgwYOjW7duiRsBANBUOZMOAAAAUM9KSkpi0KBByRbhV111VTz//PMW4TQ4VVVVMWPGjKiurq7xbKdOnWL48OF10AoAgKbKMhwAAACgHt15550xceLErE5Gf1Rubm784Ac/iCeeeCLatWuXoB2ktXz58nj77bezmp0wYULk5+cnbgQAQFPmTDoAAABAPdi1a1d88YtfjBkzZiTJ69y5czz66KMxduzYJHmQ2s6dO2PBggVZzZ511lnRp0+fxI0AAGjqLMMBAAAAjrKKioq44ooroqKiIkne2WefHSUlJXHaaaclyYO6MHPmzDh06FCN51q1ahVjxoypg0YAADR1zqQDAAAAHEUzZsyIgQMHJluEX3nllbFkyRKLcBq0V199NevP+VGjRkWHDh0SNwIAoDmwDAcAAAA4Sv7P//k/ccUVV8SuXbtqnZWbmxv/+q//GlOmTIn27dsnaAd149ChQzFz5sysZnv27BkFBQWJGwEA0Fw4kw4AAABQx3bv3h033XRTlJSUJMnr2LFjPProozF+/PgkeVCXFixYkNUPgOTm5kZhYWHk5OTUQSsAAJoDy3AAAACAOvT666/HFVdcEa+88kqSvH79+kVJSUn07ds3SR7Upc2bN8eyZcuymh00aFAcf/zxiRsBANCcOJMOAAAAUEfKy8vjggtaZSqHAAAgAElEQVQuSLYIv+KKK2LZsmUW4TQK1dXVUVpaGtXV1TWe7dixY4wYMSJ9KQAAmhXLcAAAAIA6cPfdd8ff/d3fxc6dO2udlZOTE//yL/8SJSUl0aFDhwTtoO6tWLEiNm3alNXsuHHjomXLlokbAQDQ3DiTDgAAAJDQ3r174+abb44pU6YkyTvmmGPi4YcfjssvvzxJHhwNu3fvjqeffjqr2TPOOCMymUziRgAANEeW4QAAAACJvPHGG1FUVBRr1qxJkpfJZKKkpCTOOOOMJHlwtMyaNSsOHjxY47mWLVvGuHHj6qARAADNkTPpAAAAAAnMnj07LrjggmSL8MLCwli+fLlFOI3Oa6+9Fi+//HJWs5dcckkcc8wxiRsBANBcWYYDAAAA1NIPf/jDGD9+fGzfvr3WWTk5OfH9738/ZsyYYSlIo3P48OEoLy/ParZHjx4xcODAxI0AAGjOnEkHAAAAyNK+ffvilltuiccffzxJXocOHeKhhx6K4uLiJHlwtC1cuDB27txZ47mcnJwoLCyMnJycOmgFAEBzZRkOAAAAkIU333wzioqKYvXq1UnyTj/99CgpKYkzzzwzSR4cbVu2bImlS5dmNTtw4MA44YQTEjcCAKC5cyYdAAAAoIbmzZsXBQUFyRbh48ePj+XLl1uE06iVlpZGVVVVjeeOOeaYGDlyZB00AgCgubMMBwAAAKiBH//4xzF27Nh47733kuT97//9v2PGjBnRqVOnJHlQH1auXBkbN27Manbs2LHRqlWrxI0AAMCZdAAAAIDPZf/+/fHlL385HnvssSR57dq1iwcffDAmTZqUJA/qy549e2L+/PlZzWYymejXr1/iRgAA8FeW4QAAAACf4c9//nMUFxfHiy++mCTvtNNOi5KSkjj77LOT5EF9mj17dhw4cKDGc/n5+TFu3Lg6aAQAAH/lTDoAAADA3/D0009HQUFBskX4mDFjYsWKFRbhNAlr166NNWvWZDU7cuTI6NixY+JGAADwPyzDAQAAAD7Ff/zHf8To0aNj27ZtSfL++Z//OcrLy6Nz585J8qA+HT58OMrLy7OaPf7442PQoEGJGwEAwIc5kw4AAADwEQcOHIh/+Id/iEceeSRJXtu2beOBBx6Ia665JkkeNATPPvtsbN++vcZzOTk5UVhYGLm5fk8HAIC6ZRkOAAAA8AF/+ctfori4OFatWpUk79RTT42SkpI499xzk+RBQ/DOO+/E888/n9VsQUFB9OzZM3EjAAD4OD9+CQAAAPC+Z555JgYMGJBsEX7ppZfGypUrLcJpcsrKyqKqqqrGc+3bt49Ro0bVQSMAAPg4y3AAAACAiLjnnnvi0ksvja1btybJ+6d/+qeYNWtWHHvssUnyoKF44YUXYsOGDVnNjh07Nlq1apW4EQAAfDJn0gEAAIBm7eDBg/G1r30tHnzwwSR5bdq0ifvvvz+uv/76JHnQkOzduzfmzp2b1WyfPn3irLPOStwIAAA+nWU4AAAA0Gxt3LgxJk6cGCtWrEiS16tXr5g2bVr0//+zd5/xUdb5+sevSa+UQOiRTkAExIQuRFqAJCwBpCkia0F2Xduu+3ddj2tZPauyHo+6oscGKoJIC5gECBB6TWAhiwhI6CAhgSSQXv8PtsmaADP5TTIz+bwf6X3P97ovHsgL+WZ+d+/eRvIAR5OUlKSioiKr5zw9PRUdHW2HRgAAAED1OCYdAAAAAADUS1u3blV4eLixRfiwYcOUmprKIhwu6/jx40pLS7NpNiIiQo0aNTLcCAAAALg+luEAAAAAAKDemTt3roYPH66MjAwjeU8++aSSkpLUtGlTI3mAoykrK1NCQoJNs82aNVP//v0NNwIAAABujGPSAQAAAABAvVFcXKxHH31Un3zyiZE8Hx8fffTRR5o+fbqRPMBRbdu2TZcvX7ZpNiYmRu7u7oYbAQAAADfGMhwAAAAAANQL58+f14QJE7R7924jeSEhIVqxYoXCwsKM5AGOKisrS9u2bbNpNiwsTCEhIYYbAQAAADeHY9IBAAAAAIDL27Fjh8LCwowtwiMiIrR3714W4agXEhISVF5ebvWcv7+/RowYYYdGAAAAwM1hGQ4AAAAAAFzahx9+qKFDh+rChQtG8h577DGtX79ewcHBRvIAR7Z//36dPHnSptlRo0bJx8fHbCEAAADAChyTDgAAAAAAXFJJSYkee+wxffjhh0byvL299cEHH2jmzJlG8gBHV1BQoKSkJJtmO3TooB49ehhuBAAAAFiHZTgAAAAAAHA5Fy5c0MSJE7Vjxw4jeW3atNHy5cvVp08fI3mAM1i3bp0KCwutnvPw8FB0dLQdGpl35swZHTx4UCdOnNDJkyd18uRJ5eTkKC8vT/n5+SovL1dAQIACAwPVoEEDdenSRd27d1fPnj3Vs2fPuq4PAACAG2AZDgAAAAAAXMru3bs1YcIEnT9/3kjenXfeqaVLl6p58+ZG8gBncPLkSe3fv9+m2SFDhigoKMhwIzMyMzOVnJysPXv2KDU19aZen5Cdna3s7GxJ0sGDB7V8+XJJUrt27TRx4kRNmTJFDRs2tGtvAAAA2IZlOAAAAAAAcBmffPKJHn30URUXFxvJ+8UvfqG3335bnp6eRvIAZ1BeXq6EhASbZoODgzVw4EDDjWomNzdX33zzjdasWaO9e/eqoqLCSO7Jkyf15ptv6vPPP9fzzz+vUaNGGckFAACAOW51XQAAAAAAAKCmSktL9eijj+qhhx4ysgj38vLSRx99pLlz57IIR72zfft2ZWVl2TQbHR0td3d3w41qZsWKFfrjH/+olJQUY4vwH8vMzNTjjz+u1157zXg2AAAAaoZvhgMAAAAAAKeWkZGhSZMmaevWrUbyWrVqpWXLlql///5G8gBncunSJZv/W+rdu7fatm1ruFHNHT58uFaeM2/ePPn5+enxxx+vlecBAADgxliGAwAAAAAAp5WSkqIJEybo7NmzRvIGDhyopUuXqmXLlkbyAGeTkJCgsrIyq+f8/Pw0cuRIOzSquUOHDt3wM25ubmratKkCAwMVGBgoPz8/FRYWKi8vT2fOnFFRUdFNPeu9997T4MGD1bt375rWBgAAgAEswwEAAAAAgFOaP3++fvGLX9z0kupGZs2apXfffVdeXl5G8gBnk5aWphMnTtg0GxkZKV9fX8ONaq6kpETHjx//yfVWrVppyJAhuu222xQaGqouXbrIx8enyoyKigqdOnVKmzZt0qpVq264XP/Tn/6kxYsXy2KxGPk1AAAAwHYswwEAAAAAgFMpKyvTr3/9a7377rtG8ry8vPTOO+/okUceMZIHOKPCwkIlJSXZNNu+fXv16tXLcCMzvv/+e5WWlkqSOnbsqHHjxikiIkJdu3a96Qw3Nze1b99e7du318yZM7V69Wq99NJLysnJqfLzBw4c0N/+9jf17NnTyK8BAAAAtmMZDgAAAAAAnEZmZqYmTZqkzZs3G8lr0aKFli1bpoEDBxrJA5zV+vXrlZ+fb/Wcu7u7oqOj7dDIjOPHjysmJkZTpkxR3759a5xnsVgUFRWlW2+9Vffee6+ysrKq/NyWLVtYhgMAADgAt7ouAAAAAAAAcDP27dun8PBwY4vwfv36ae/evSzCUe+dPn1a+/bts2l28ODBatKkieFG5owdO1ZvvvmmkUX4j7Vr106vvPJKtfd37dpl9HkAAACwDctwAAAAAADg8L744gsNGjRIp0+fNpL34IMPavPmzWrVqpWRPMBZlZeXKz4+3qbZJk2aaNCgQYYbOY+hQ4eqXbt2Vd67cOFC7ZYBAABAlViGAwAAAAAAh1VWVqannnpKM2bMUFFRUY3zPD099d577+njjz+Wt7e3gYaAc9u5c6cyMzNtmo2JiZGHR/1+C2NYWFiV1y9fvlzLTQAAAFCV+v2nVQAAAAAA4LCysrI0ZcoUJScnG8lr3ry5lixZosGDBxvJA5xddna2za8d6NWrV7Xfiq5PgoODq7yen5+vyspKWSyWWm4EAACAH2MZDgAAAAAAHM7+/fsVGxurU6dOGcnr06ePli9frjZt2hjJA1xBQkKCysrKrJ7z9fVVZGSkHRo5n5KSkiqve3t7swgHAABwAByTDgAAAAAAHMqiRYs0cOBAY4vwmTNnasuWLSzCgR85ePCg0tPTbZodOXKk/Pz8DDdyTidOnKjyelBQUC03AQAAQFVYhgMAAAAAAIdQXl6up59+Wvfcc48KCwtrnOfh4aF33nlH8+bNk4+Pj4GGgGsoKirS2rVrbZpt27atevfubbiR80pLS6vyesuWLWu5CQAAAKrCMekAAAAAAKDOXb58WVOmTNH69euN5AUHB2vJkiWKiIgwkge4kg0bNigvL8/qOXd3d0VHR9uhUe07efKk9u/fr2PHjunEiRPKyMjQ5cuXdeXKFZWUlKikpESVlZU253fs2NFgWwAAANiKZTgAAAAAAKhTaWlpio2Nrfa4YWvdcccdWrFihW655RYjeYArOXv2rPbu3WvT7MCBAxUcHGy4Ue2orKzUjh07tGbNGm3cuFGZmZl2fR7LcAAAAMfAMhwAAAAAANSZr7/+Wj//+c9VUFBgJO++++7Thx9+yLHoQBUqKioUHx9v0zeeg4KCNGTIEDu0sq/S0lItXbpUn376qU6fPl1rz+3QoUOtPQsAAADVYxkOAAAAAABqXUVFhZ599lm98cYbRvI8PDw0Z84cPfnkk0byAFe0a9cuZWRk2DQbFRUlDw/n+qvEnTt36g9/+EOtLsH/qVu3brX+TAAAAPyUc/0JFgAAAAAAOL3s7GxNmzZNa9euNZLXtGlTLV68WMOGDTOSB7iinJwcbdq0yabZHj16ONWx3+Xl5XrjjTc0f/78Onl+cHCwmjVrVifPBgAAwLVYhgMAAAAAgFpz8OBBxcbGKj093Uje7bffrri4OLVt29ZIHuCqEhMTVVpaavWcj4+PIiMj7dDIPkpKSvToo49qy5YtVs/6+/srODhY/v7+8vf3l7u7u9zd3av8bGVlpbZv317lve7du1v9bAAAANgHy3AAAAAAAFArli1bppkzZyovL89I3rRp0/Txxx/Lz8/PSB7gqg4dOqTvv//eptkRI0YoICDAcCP7qKio0BNPPHFTi/DWrVtr0KBBuv3229W1a1e1bdvWql9nenq6oqKiqrx366233nQOAAAA7ItlOAAAAAAAsKuKigo9//zz+tOf/qTKysoa57m7u+u1117T008/baAd4NqKi4u1Zs0am2ZDQkIUFhZmuJH9vP/++0pOTq72vpubm8aMGaMZM2bo9ttvr9Gz9u/fX+09vhkOAADgOFiGAwAAAAAAu8nNzdU999yjxMREI3lBQUFavHixRowYYSQPcHXJycm6evWq1XNubm6KiYmxQyP7OHHihN5///1q77ds2VKvv/66+vXrZ+R51R2RLvHNcAAAAEfCMhwAAAAAANjFd999p9jYWB09etRIXs+ePRUXF6f27dsbyQNc3fnz55WSkmLT7IABA9SsWTPDjeznL3/5S7XvRG/durWWLl2qoKAgI8+qrKzUjh07qrzXuHFjtWrVyshzAAAAUHMswwEAAAAA+IcrV65o3759SktL0/fff69z587p4sWLys/PV3Fxsby8vBQQEKAGDRqoXbt26ty5s7p27ar+/furcePGdV3focTFxWnGjBk2fSO1KpMnT9a8efN4PzhwkyoqKvTNN9/Y9GqCRo0aKSIiwg6t7OPSpUtau3Ztlfc8PDw0d+5cY4twSUpNTVV2dnaV9zgiHQAAwLGwDAcAAAAA1GsFBQWKj49XYmKiUlJSVFZWVu1nCwsLVVhYqMzMTKWnp2vDhg2S/n6ccI8ePTRs2DDFxsaqRYsWtVXfIb3wwgv64x//aOT94G5ubnr11Vf1u9/9zkAzoP7Ys2ePLly4YNNsdHS0PD09DTeyn02bNlX7rfDhw4era9euRp/3xRdfVHuPI9IBAAAcC8twAAAAAEC9dPXqVX300UdatGiRrly5UqOsiooKHThwQAcOHNDbb7+tO++8U6+//rrRbyI6gytXrmj69On65ptvjOQ1btxYCxcu1OjRo43kAfVFbm6uNm7caNNs9+7d1alTJ8ON7Cs1NbXae7GxsUafdf78ea1fv77a+yzDAQAAHAvLcAAAAABAvbNkyRL9+c9/Vk5OjvHsiooKbd++Xb6+vsazHdmRI0c0btw4HTlyxEjebbfdpri4OHXs2NFIHlCfrF69WiUlJVbPeXt7a9SoUXZoZF/p6enV3mvXrp3RZ7355psqLy+v9j7HpAMAADgWluEAAAAAgHojNzdX/+///T9t2rTJrs/p2LFjvVqGf/PNN5o+fXqNv2H/TxMnTtT8+fMVEBBgJA+oTw4fPmzzD6UMHz5cgYGBhhvZX1ZWVrX3mjVrZuw5mzdvVnx8fLX3AwMDFRISYux5AAAAqDmW4QAAAACAeuHUqVOaNWuWTp48edMzjRo1UuvWreXv76/Kykrl5OQoJydHWVlZ130f9m233WagsXN4+eWX9eKLLxp7P/jLL7+s5557zkAzoP4pKSnR6tWrbZpt3bq1wsPDDTeqHcXFxdXey8/PN/KDNVlZWXrxxRev+5lu3brJYrHU+FkAAAAwh2U4AAAAAMDlnT59WtOnT9fFixev+zlvb28NGzZMkZGRCg8Pr/YbhdnZ2dq7d69SU1MVHx+vzMzMa+736NHDWHdHdfXqVc2YMUNxcXFG8ho2bKiFCxcqKirKSB5QH23cuNGmExrc3NwUExPjtIvcwMDAar8dfuTIETVv3rxG+Xl5eXr44Yd1/vz5636OI9IBAAAcD8twAAAAAIBLO3/+vGbOnHndRbinp6cmTZqk2bNn39TSpHHjxhoxYoRGjBih3/zmN1q3bp3mz5+vAwcOSHL9b4Z///33GjdunL777jsjed26dVNcXJy6dOliJA+oj3744Qft3r3bptl+/fqpRYsWhhvVnqZNm+rEiRNV3lu9erWGDBlic3Zubq5+9atf6dChQzf8LMtwAAAAx+NW1wUAAAAAALCX/Px8PfTQQzp37ly1n+nevbvWrFmjF154waZvD3p6eioqKkqLFy/WK6+8ouDgYHXt2rUmtR1aYmKi+vTpY2wRHhsbq927d7MIB2qgsrJS8fHxNr2uoGHDhrrrrrvMl6pFt956a7X3Vq5cqbS0NJtyDx8+rIkTJ2rPnj017gEAAIC6wTIcAAAAAOCynn32WaWnp1d7f9SoUfryyy/Vpk2bGj/LYrFo0qRJSkpKkpeXV43zHNGrr76qsWPHKjc3t8ZZFotFL730klasWKHAwEAD7YD6KyUl5YZHeFdnzJgxTv97VkRERLX3ysvLNXv2bKsW4tnZ2ZozZ44mT56sM2fOXHPP09Ozyhk/Pz+1b9/+pp8BAACA2sEx6QAAAAAAl/T5559r7dq11d4fN26cXn/9dePvyPXz8zOa5wjy8vI0c+ZMLVu2zEhegwYNtGDBAo0dO9ZIHlCfXb16VcnJyTbNdu3aVaGhoYYb1b6+ffsqJCTkJ4vrf7p06ZKmTZumyZMna8qUKQoNDf3J7/1FRUXavXu3Nm/erJUrVyovL+8nOQ888ICWLVtW5Q8Ede3aVW5ufO8IAADA0bAMBwAAAAC4nHPnzumtt96q9v7AgQP16quvGl+Eu6L09HSNGzdO3377rZG80NBQxcXFufRR8kBtWrNmjYqLi62e8/Ly0pgxY+zQqPZ5enrqiSee0NNPP13tZ8rKyrRw4UItXLhQDRs2VEhIiAIDA5WXl6dLly4pMzNTpaWl1c5PnjxZU6dO1aefflrlfd4XDgAA4JhYhgMAAAAAXM6LL76ogoKCKu81a9ZMb775ZrVH3eLf1q5dq2nTpik7O9tI3tixY7VgwQI1aNDASB5Q3x09elSHDh2yaXbYsGEu9d9iTEyMkpKSlJSUdMPP5ubmWvW6h9mzZ+upp55SYmJitZ/hfeEAAACOibN7AAAAAAAuZfv27dqyZUu1919//XUFBQXVYiPn9NprrykqKsrIItxisegPf/iDVq1a5VLLN6AulZaWXnc5ez0tW7ZU3759DTeqWxaLRW+88YZ69eplLLNRo0Z655139NRTT0mSDh48WO1nWYYDAAA4JpbhAAAAAACXMnfu3GrvjRkzRgMHDqzFNs4nPz9fU6ZM0bPPPquKiooa5wUGBmr58uV66aWXDLQD8E+bNm2y6tvN/2SxWBQTE+OSr4nw9fXVZ599pp/97Gc1ynFzc9P48eO1atUqjRo16l/Xq1uGe3t7q1OnTjV6JgAAAOyDY9IBAAAAAC4jNTVVqampVd7z9PTUb3/721pu5FxOnDih2NhYpaWlGcnr3LmzVq5cqW7duhnJA/B3GRkZ2rVrl02zffv2VatWrQw3chy+vr6aM2eOhg8frvfee09Hjx696Vl/f3+NHTtW06dPV+fOnX9y/+zZswoMDPzJ9VtvvVUeHvw1KwAAgCPiT2kAAAAAAJexdOnSau/FxMSodevWtdjGuaxbt05Tp07V5cuXjeRFRUVp4cKFatiwoZE8AP8WHx9v08kNDRo00NChQ+3QyPGMHj1ao0aN0q5du7R9+3alpqYqIyNDly9fVnl5ufz8/NS4cWO1a9dOoaGh6t+/v8LCwuTt7V1tZnJyci3+CgAAAGACy3AAAAAAgEsoLCxUUlJStfdnzpxZe2WczJw5c/Tss8+qvLy8xlkWi0W///3v9fLLL8vNjbezAaalpqbq7NmzNs2OHj36usteV2OxWDRgwAANGDCgrqsAAACgjrAMBwAAAAC4hC1btig/P7/Ke127dlXXrl1ruZHjKygo0EMPPaRFixYZyQsICND8+fM1ceJEI3kArpWXl6cNGzbYNBsaGsorCwAAAFDvsAwHAAAAALiE670/Nzo6uhabOIdTp04pNjZW+/fvN5LXsWNHrVy5Ut27dzeSB+Cn1q5dq6KiIqvnPD09NWbMGDs0AgAAABwb55UBAAAAAFxCSkpKtfcGDhxYi00cX3JyssLDw40twkeNGqWUlBQW4YAdHTt2TAcPHrRpdujQoWrYsKHhRgAAAIDjYxkOAAAAAHB6BQUFOnbsWJX3/P39ORr4R9566y1FRkYqKyvLSN4zzzyjxMRENW7c2EgegJ8qLS1VYmKiTbMtWrRQv379DDcCAAAAnAPHpAMAAAAAnN7p06dVWVlZ5b0uXbrI3d29lhs5nqKiIj388MNasGCBkTx/f399+umnmjx5spE8ANXbsmWLsrOzrZ6zWCyKiYmRmxvfhwEAAED9xDIcAAAAAOD0Tp48We29tm3b1l4RB3XmzBmNHz9ee/fuNZLXvn17xcXFqWfPnkbyAFTv4sWL2rFjh02z4eHhat26teFGAAAAgPPgx0IBAAAAAE4vIyOj2nvNmzevxSaOZ/PmzQoLCzO2CB85cqRSU1NZhAO1JCEhQRUVFVbPBQQEaPjw4XZoBAAAADgPluEAAAAAAKeXn59f7T0/P79abOJY3n33XY0YMUKZmZlG8p5++mmtXr1aQUFBRvIAXN++fft0+vRpm2ZHjx4tb29vw40AAAAA58Ix6QAAAAAAp1dYWFjtPS8vr1ps4hiKi4s1e/ZszZ8/30ier6+vPvnkE02bNs1IHoAby8/P17p162ya7dy5s7p37264EQAAAOB8WIYDAAAAAJxeaWlptfeuXr1ai03q3tmzZzVhwgSlpKQYyWvbtq1WrFih3r17G8kDcHOSkpJUVFRk9Zynp6eioqLs0AgAAABwPhyTDgAAAABwetc7CvjKlSu12KRubd26VeHh4cYW4cOGDVNqaiqLcKCWHT9+XGlpaTbNRkREqFGjRoYbAQAAAM6JZTgAAAAAwOk1bNiw2nvp6em12KTuzJ07V8OHD1dGRoaRvCeffFJJSUlq2rSpkTwAN6esrEwJCQk2zTZr1kwDBgww3AgAAABwXhyTDgAAAABweq1atar23oEDB1RWViYPD9f8X+Di4mI9+uij+uSTT4zk+fj46KOPPtL06dON5AGwztatW3X58mWbZmNiYuTmxndfAAAAgH/iT8cAAAAAAKfXpUuXau8VFBRo586dtdim9pw/f14RERHGFuEhISHatm0bi3CgjmRlZWn79u02zYaFhSkkJMRwIwAAAMC5sQwHAAAAADi99u3bq3HjxtXeN7UsdiQ7duxQWFiYdu/ebSQvIiJCe/fuVVhYmJE8ANaLj49XeXm51XP+/v4aMWKEHRoBAAAAzo1lOAAAAADA6VksFg0bNqza+zt37rT5HbyO6P/+7/80dOhQXbhwwUjeY489pvXr1ys4ONhIHgDr7d+/X6dOnbJpdtSoUfLx8THcCAAAAHB+LMMBAAAAAC5hwoQJ173/3HPPad++fUaeVVJSoqVLl2rq1KmqrKw0knmzz33kkUc0e/ZslZSU1DjP29tb8+bN0zvvvOOy71QHnEFBQYGSkpJsmu3QoYN69OhhuBEAAADgGliGAwAAAABcQnh4uO64445q7xcWFmrGjBmaN2+eSktLbXrGt99+qz//+c+666679Nxzz8nDw0MWi8XWylb54YcfNHToUH344YdG8tq0aaOtW7dq5syZRvIA2G7dunUqLCy0es7Dw0PR0dF2aAQAAAC4Bn7sGwAAAADgMv7rv/5LkydPVllZWZX3S0tL9dprr2nevHmaOnWq7rzzTnXr1k2enp5Vfv7MmTP629/+pgMHDmj9+vU6e/bsNfe7detm/NdQlV27dmnixIk6f/68kbzBgwdryZIlat68uZE8ALY7efKk9u/fb9PskCFDFBQUZLgRAAAA4DpYhgMAAAAAXEb37t31xBNP6M0337zu5zIyMvT222/r7bfflre3t1q2bKkGDRrI399fBQUFys3NVVZWlvLy8q6bc+utt5qsX6VPPvlEv/zlL40ciy5Jv/zlL/W///u/1ZAmJZ8AACAASURBVP4AAIDaU15eroSEBJtmg4ODNXDgQMONAAAAANfCMhwAAAAA4FJmzZqljIwMLViw4KY+X1xcrJMnT9r0LHt+M7y0tFRPPPGE3n//fSN53t7eeu+99/Tggw8ayQNQc9u3b1dWVpZNs9HR0XJ3dzfcCAAAAHAtLMMBAAAAAC7n+eefV3BwsN5++21VVFTY5RleXl7q1KmTXbIzMjJ09913a9u2bUbyWrVqpeXLl6tfv35G8gDU3KVLl7R161abZnv37q22bdsabgQAAAC4Hre6LgAAAAAAgD3Mnj1bixYtUteuXY1ne3l5acKECfLwMP8z5ikpKQoPDze2CB84cKD27t3LIhxwMAkJCSorK7N6zs/PTyNHjrRDIwAAAMD18M1wAAAAAIDLuv322xUXF6d169bpq6++0s6dO23+prifn5/uuOMORUZGasyYMWrQoIHhttL8+fM1e/ZsFRcXG8mbNWuW3n33XXl5eRnJA2BGWlqaTpw4YdNsZGSkfH19DTcCAAAAXBPLcAAAAACAS7NYLIqMjFRkZKQuX76snTt36sCBAzp27JjOnz+vS5cuqbCwUOXl5fLx8ZGfn58CAgLUunVr3XLLLWrXrp169eqlHj162OWb4JJUVlamp556Sn/5y1+M5Hl5eendd9/VrFmzjOQBMKewsFBJSUk2zbZv3169evUy3AgAAABwXSzDAQAAAAD1RlBQkKKjoxUdHV3XVf4lMzNTkyZN0ubNm43ktWzZUkuXLtXAgQON5AEwa/369crPz7d6zt3d3aF+7wIAAACcActwAAAAAADqyL59+xQbG6szZ84Yyevfv7+WLVumVq1aGckDYNbp06e1b98+m2YHDx6sJk2aGG4EAAAAuDa3ui4AAAAAAEB99MUXX2jQoEHGFuEPPvigNm/ezCIccFDl5eWKj4+3abZJkyYaNGiQ4UYAAACA62MZDgAAAABALfrn+8FnzJihoqKiGud5enpq7ty5+vjjj+Xl5WWgIQB72LlzpzIzM22ajYmJkYcHBzwCAAAA1uJP0QAAAAAA1JKsrCxNmTJFycnJRvKaN2+upUuX6s477zSSB8A+srOztXnzZptme/XqpXbt2pktBAAAANQTLMMBAAAAAKgF+/fvV2xsrE6dOmUkr0+fPlq+fLnatGljJA+A/SQkJKisrMzqOV9fX0VGRtqhEQAAAFA/cEw6AAAAAAB2tmjRIg0cONDYInzmzJnaunUri3DACRw8eFDp6ek2zY4cOVJ+fn6GGwEAAAD1B8twAAAAAADspLy8XE8//bTuueceFRYW1jjPw8ND7777rubNmydvb28DDQHYU1FRkdauXWvTbNu2bdW7d2/DjQAAAID6hWPSAQAAAACwg8uXL2vKlClav369kbzg4GAtWbJEERERRvIA2N+GDRuUl5dn9Zy7u7uio6Pt0AgAAACoX1iGAwAAAABgWFpammJjY3XixAkjeXfccYfi4uIUEhJiJA+A/Z09e1apqak2zQ4aNEjBwcGGGwEAAAD1D8ekAwAAAABg0Ndff60BAwYYW4Tfd9992r59O4twwIlUVFQoPj7eptmgoCANHjzYcCMAAACgfmIZDgAAAACAARUVFXrmmWc0ZcoUFRQU1DjPw8NDb731lj7//HP5+PgYaAigtuzatUsZGRk2zUZHR8vDg8McAQAAABP4kzUAAAAAADWUnZ2tadOmae3atUbymjZtqsWLF2vYsGFG8gDUnpycHG3atMmm2R49eqhDhw5mCwEAAAD1GMtwAAAAAABq4ODBg4qNjVV6erqRvNtvv11xcXFq27atkTwAtSsxMVGlpaVWz/n4+CgyMtIOjQAAAID6i2PSAQAAAACw0bJlyzRgwABji/Bp06Zp+/btLMIBJ3Xo0CF9//33Ns2OGDFCAQEBhhsBAAAA9RvLcAAAAAAArFRRUaHnnntOd999t/Ly8mqc5+7urjlz5mjhwoXy8/Mz0BBAbSsuLtaaNWtsmg0JCVFYWJjhRgAAAAA4Jh0AAAAAACvk5OTo3nvvVWJiopG8oKAgLV68WCNGjDCSB6BuJCcn6+rVq1bPubm5KSYmxg6NAAAAALAMBwAAAADgJh06dEixsbE2H4P8n3r27Km4uDi1b9/eSB6AunH+/HmlpKTYNDtgwAA1a9bMcCMAAAAAEsekAwAAAABwU1asWKH+/fsbW4RPnjxZO3fuZBEOOLmKigp98803qqystHq2UaNGioiIsEMrAAAAABLLcAAAAAAAbugPf/iDJk6caNMRyP/Jzc1Nr732mhYvXsz7wQEXsGfPHl24cMGm2ejoaHl6ehpuBAAAAOCfOCYdAAAAAIBqXLlyRdOnT9c333xjJK9x48ZatGiRRo0aZSQPQN3Kzc3Vxo0bbZrt3r27OnXqZLgRAAAAgB9jGQ4AAAAAQBUOHz6s2NhYHTlyxEjebbfdpri4OHXs2NFIHoC6t3r1apWUlFg95+3tzQ/FAAAAALWAY9IBAAAAAPgP33zzjfr162dsET5x4kTt3LmTRTjgQg4fPmzz7xHDhw9XYGCg4UYAAAAA/hPLcAAAAAAAfuSll17SuHHjdOXKlRpnubm56dVXX9XSpUsVEBBgoB0AR1BSUqLVq1fbNNu6dWuFh4cbbgQAAACgKhyTDgAAAACApKtXr+q+++7TypUrjeQ1atRIX375paKioozkAXAcGzdutOkHZtzc3BQTEyOLxWKHVgAAAAD+E8twAAAAAEC9d/ToUcXGxuq7774zknfrrbcqLi5OnTt3NpIHwHH88MMP2r17t02z/fr1U4sWLQw3AgAAAFAdjkkHAAAAANRrCQkJ6tu3r7FF+Pjx47Vr1y4W4YALqqysVHx8vCorK62ebdiwoe666y7zpQAAAABUi2U4AAAAAKDeeuWVV/Szn/1Mubm5Nc6yWCx6+eWXtXz5cgUGBhpoB8DRpKSk6Pz58zbNRkVFycvLy3AjAAAAANfDMekAAAAAgHonLy9P999/v5YvX24kr0GDBlqwYIHGjh1rJA+A47l69aqSk5Ntmu3WrZu6dOliuBEAAACAG2EZDgAAAACoV44dO6bY2Fh9++23RvK6du2quLg4hYaGGskD4JhWr16t4uJiq+e8vLw0evRoOzQCAAAAcCMckw4AAAAAqDfWrFmjPn36GFuEjx07Vrt372YRDri4o0eP6rvvvrNpdtiwYWrQoIHhRgAAAABuBstwAAAAAEC98Nprryk6Olo5OTk1zrJYLHrhhRe0atUqllyAiystLVViYqJNs61atVLfvn0NNwIAAABwszgmHQAAAADg0vLz8/XAAw/o66+/NpIXGBioL774QuPGjTOSB8Cxbdq0Sbm5uVbPWSwWxcTEyGKx2KEVAAAAgJvBMhwAAAAA4LJOnDih2NhYpaWlGcnr0qWL4uLi1K1bNyN5ABxbRkaGdu3aZdNs37591bJlS8ONAAAAAFiDY9IBAAAAAC5p3bp1Cg8PN7YIj46O1p49e1iEA/VEZWWl4uPjVVFRYfVsgwYNNGzYMDu0AgAAAGANluEAAAAAAJczZ84cjRkzRpcvX65xlsVi0XPPPadVq1apYcOGBtoBcAZ79+7V2bNnbZodPXq0vLy8DDcCAAAAYC2OSQcAAAAAuIyCggI99NBDWrRokZG8gIAAzZ8/XxMnTjSSB8A55OXlaf369TbNhoaGcoIEAAAA4CBYhgMAAAAAXMLJkyc1fvx47d+/30hex44dtXLlSnXv3t1IHgDnsXbtWhUXF1s95+npqTFjxtihEQAAAABbcEw6AAAAAMDpJScnKzw83NgifNSoUUpJSWERDtRDx44d08GDB22aHTp0KK9TAAAAABwIy3AAAAAAgFN76623FBkZqUuXLhnJe+aZZ5SYmKjGjRsbyQPgPEpLS5WYmGjTbIsWLdSvXz/DjQAAAADUBMekAwAAAACcUmFhoWbNmqUFCxYYyfP399enn36qyZMnG8kD4Hy2bNmi7Oxsq+csFotiYmLk5sb3TgAAAABHwjIcAAAAAOB0Tp8+rfHjx2vfvn1G8tq3b6+4uDj17NnTSB4A53Px4kXt2LHDptnw8HC1bt3acCMAAAAANcWPqwIAAAAAnMqmTZsUHh5ubBE+cuRIpaamsggH6rmEhARVVFRYPRcQEKDhw4fboREAAACAmmIZDgAAAABwGu+8845GjhypzMxMI3lPP/20Vq9eraCgICN5AJzTvn37dPr0aZtmR48eLW9vb8ONAAAAAJjAMekAAAAAAIdXVFSk2bNn67PPPjOS5+fnp48//ljTpk0zkgfAeeXn52vdunU2zXbu3Fndu3c33AgAAACAKSzDAQAAAAAO7ezZsxo/frxSU1ON5LVr104rVqzQ7bffbiQPgHNLSkpSUVGR1XOenp6KioqyQyMAAAAApnBMOgAAAADAYW3dulVhYWHGFuHDhg1Tamoqi3AAkqTjx48rLS3NptmIiAg1atTIcCMAAAAAJrEMBwAAAAA4pPfee0/Dhw/XxYsXjeQ99dRTSkpKUpMmTYzkAXBuZWVlSkhIsGm2WbNmGjBggOFGAAAAAEzjmHQAAAAAgEMpLi7WL3/5S3366adG8nx9ffXhhx9q+vTpRvIAuIatW7fq8uXLNs3GxMTIzY3vmAAAAACOjmU4AAAAAMBhnDt3ThMnTtTu3buN5N1yyy1asWKF7rjjDiN5AFxDVlaWtm/fbtNsWFiYQkJCDDcCAAAAYA/8CCsAAAAAwCFs375d4eHhxhbhd911l1JTU1mEA/iJ+Ph4lZeXWz3n7++vESNG2KERAAAAAHtgGQ4AAAAAqHMffPCBhg4dqgsXLhjJe/zxx7Vu3ToFBwcbyQPgOvbv369Tp07ZNDtq1Cj5+PgYbgQAAADAXjgmHQAAAABQZ0pKSvSrX/1KH330kZE8Hx8fffDBB7r//vuN5AFwLQUFBUpKSrJptmPHjurRo4fhRgAAAADsiWU4AAAAAKBO/PDDD5o4caJ27txpJK9NmzZasWKFwsPDjeQBcD3r1q1TYWGh1XMeHh6KioqyQyMAAAAA9sQx6QAAAACAWrdr1y6FhYUZW4QPHjxYe/fuZREOoFonT57U/v37bZodMmSIgoKCDDcCAAAAYG8swwEAAAAAterjjz9WRESEfvjhByN5jz76qDZs2KBmzZoZyQPgesrLyxUfH2/TbHBwsAYOHGi4EQAAAIDawDHpAAAAAIBaUVpaqscff1wffPCBkTxvb2/NnTtXDzzwgJE8AK5r27ZtunTpkk2z0dHRcnd3N9wIAAAAQG1gGQ4AAAAAsLuMjAzdfffd2rZtm5G81q1ba9myZerXr5+RPACu69KlS9q6datNs71791bbtm0NNwIAAABQW1iGAwAAAADsas+ePZowYYLOnTtnJG/QoEFaunSpWrRoYSQPgGtLSEhQeXm51XN+fn4aOXKkHRoBAAAAqC28MxwAAAAAYDfz58/XkCFDjC3CH3nkEW3cuJFFOICbkpaWphMnTtg0GxkZKV9fX8ONAAAAANQmluEAAAAAAOPKysr02GOP6ec//7mKi4trnOfl5aUPP/xQH3zwgTw9PQ00BODqCgsLlZSUZNNs+/bt1atXL8ONAAAAANQ2jkkHAAAAABiVmZmpSZMmafPmzUbyWrZsqWXLlmnAgAFG8gDUD+vXr1d+fr7Vc+7u7oqOjrZDIwAAAAC1jWU4AAAAAMCYvXv3avz48Tpz5oyRvP79+2v58uVq2bKlkTwA9cPp06e1b98+m2YHDx6sJk2aGG4EAAAAoC5wTDoAAAAAwIgvvvhCd955p7FF+IMPPqjNmzezCAdglfLycsXHx9s026RJEw0aNMhwIwAAAAB1hWU4AAAAAKBGysrK9OSTT2rGjBkqKiqqcZ6np6fmzp2rjz/+WF5eXgYaAqhPdu7cqczMTJtmY2Ji5OHBQYoAAACAq+BP9wAAAAAAm2VlZWny5MnauHGjkbzmzZtr6dKluvPOO43kAahfsrOztXnzZptme/XqpXbt2pktBAAAAKBOsQwHAAAAANjkr3/9q8aPH69Tp04ZyevTp4+WL1+uNm3aGMkDUP8kJCSorKzM6jlfX19FRkbaoREAAACAusQx6QAAAAAAqy1cuFCDBg0ytgifOXOmtm7dyiIcgM0OHjyo9PR0m2ZHjhwpPz8/w40AAAAA1DWW4QAAAACAm1ZeXq7f/OY3uvfee1VYWFjjPA8PD7377ruaN2+evL29DTQEUB8VFRVp7dq1Ns22bdtWvXv3NtwIAAAAgCPgmHQAAAAAwE25dOmSpk6dqvXr1xvJCw4O1pIlSxQREWEkD0D9tWHDBuXl5Vk95+7urujoaDs0AgAAAOAIWIYDAAAAAG4oLS1NsbGxOnHihJG8sLAwrVixQiEhIUbyANRfZ8+eVWpqqk2zgwYNUnBwsOFGAAAAABwFx6QDAAAAAK5r8eLFGjBggLFF+H333adt27axCAdQYxUVFYqPj7dpNigoSIMHDzbcCAAAAIAjYRkOAAAAAKhSRUWFnnnmGU2dOlUFBQU1zvPw8NBbb72lzz//XD4+PgYaAqjvdu3apYyMDJtmo6Oj5eHBoYkAAACAK+NP/AAAAACAn8jOztbUqVOVlJRkJK9p06b6+uuvNXToUCN5AJCTk6NNmzbZNNujRw916NDBbCEAAAAADodlOAAAAADgGgcPHlRsbKzS09ON5PXu3VsrVqxQ27ZtjeQBgCQlJiaqtLTU6jkfHx+NGjXKDo0AAAAAOBqOSQcAAAAA/MvSpUvVv39/Y4vwe+65R9u3b2cRDsCoQ4cO6fvvv7dpdsSIEfL39zfcCAAAAIAjYhkOAAAAAFBFRYV+//vfa9KkScrPz69xnru7u/785z/ryy+/lK+vr4GGAPB3xcXFWrNmjU2zISEhCgsLM9wIAAAAgKPimHQAAAAAqOdycnJ0zz33aPXq1UbymjRpoq+++kojRowwkgcAP5acnKyrV69aPefm5qaYmBg7NAIAAADgqFiGAwAAAEA9dujQIY0bN07Hjh0zktezZ0/FxcWpffv2RvIA4MfOnTunlJQUm2YHDhyoZs2aGW4EAAAAwJFxTDoAAAAA1FMrVqxQv379jC3Cp0yZop07d7IIB2AXFRUVio+PV2VlpdWzjRo10pAhQ+zQCgAAAIAjYxkOAAAAAPXQ888/r4kTJyovL6/GWW5ubnr99df11Vdfyc/Pz0A7APipPXv26MKFCzbNRkdHy9PT03AjAAAAAI6OY9IBAAAAoB7Jzc3V9OnTFR8fbySvcePG+uqrrxQZGWkkDwCqkpubq40bN9o02717d3Xq1MlwIwAAAADOgGU4AAAAANQThw8f1rhx43T06FEjebfddpvi4uLUsWNHI3kAUJ3Vq1erpKTE6jlvb2+NGjXKDo0AAAAAOAOOSQcAAACAemDVqlXq16+fsUX43XffrV27drEIB2B3hw8f1pEjR2yaHT58uAIDAw03AgAAAOAsWIYDAAAAgIt78cUXFRsbqytXrtQ4y83NTf/93/+tJUuWyN/f30A7AKheSUmJVq9ebdNs69atFR4ebrgRAAAAAGfCMekAAAAA4KKuXr2q++67TytXrjSS16hRIy1cuFBjxowxkgcAN7Jx40abfpDHzc1NMTExslgsdmgFAAAAwFmwDAcAAAAAF3T06FHFxsbqu+++M5J36623auXKlerUqZORPAC4kR9++EG7d++2abZfv35q0aKF4UYAAAAAnA3HpAMAAACAi0lISFDfvn2NLcLHjx+v3bt3swgHUGsqKysVHx+vyspKq2cbNmyou+66y3wpAAAAAE6HZTgAAAAAuJBXXnlFP/vZz5Sbm1vjLIvFopdfflnLly9XQECAgXYAcHNSUlJ0/vx5m2ajoqLk5eVluBEAAAAAZ8Qx6QAAAADgAvLy8nT//fdr+fLlRvIaNGigBQsWaOzYsUbyAOBmXb16VcnJyTbNduvWTV26dDHcCAAAAICzYhkOAAAAAE7u2LFjio2N1bfffmskr2vXroqLi1NoaKiRPACojpvbTw8tXL16tYqLi63O8vLy0ujRo03UAgAAAOAiOCYdAAAAAJzYmjVr1KdPH2OL8LFjx2r37t0swgHYnb+//0+W4UePHtV3331nU96wYcPUoEEDE9UAAAAAuAiW4QAAAADgpP70pz8pOjpaOTk5Nc6yWCx64YUXtGrVKpZJAIyrKC1V3rF0lR/8VmV/3a/yffsUEhwsi8Xyr8+UlpYqMTHRpvxWrVqpb9++puoCAAAAcBEckw4AAAAATiY/P18///nPtWTJEiN5gYGB+uKLLzRu3DgjeQBQUVqqy3tSlPPXA8pLT1fBqdOqLC//1/1WsT+Tf5Mm18xs2rRJubm5Vj/LYrEoJibmmsU6AAAAAEgswwEAAADAqRw/flyxsbH629/+ZiSvS5cuiouLU7du3YzkAajfirMu6cLaJGWsW6/S7KpPrfAODtYt06Zccy0jI0O7du2y6Zl9+/ZVy5YtbZoFAAAA4NpYhgMAAACAk0hKStK0adN0+fJlI3nR0dH68ssv1bBhQyN5AOqvsrw8nZj3mS4mb5IqKq772Q6PPCR3H59//XtlZaXi4+NVcYO5qjRo0EDDhg2zeg4AAABA/cA7wwEAAADACcyZM0dRUVFGFuEWi0XPPfecVq1axSIcQI1dTknVvl89qYvrk2+4CG8yoL+C+oRfc23v3r06e/asTc8ePXq0vLy8bJoFAAAA4Pr4ZjgAAAAAOLCCggI9+OCD+uqrr4zkBQQE6LPPPtOECROM5AGov8oKCnX8w4+VuXHTTX3e3ddX7R9+4JpreXl5Wr9+vU3PDw0N5RUPAAAAAK6LZTgAAAAAOKiTJ08qNjZWBw4cMJLXqVMnxcXFqXv37kbyANRfpVeu6tDLryjv+2M3PXPL9GnybtLkmmtr1qxRcXGx1c/38vLSmDFjrJ4DAAAAUL841TI8NDTUIuklSc9I8pS0+ciRI0PrthUAAAAA2MbDw0Pu7u5V3tuwYYOmTJmiS5cuGXnW6NGjtWjRIjVq1MhIHoD6q/TKVR38rz+o4NTpm54J6NRRLaOuXV4fO3ZM3377rU0d7rrrLl7zAAAAAOCGnOad4aGhod6SFkp6XpKXJIukdnXZCQAAAABs5efnp27dusnN7af/W/Y///M/GjVqlLFF+O9+9zslJCSwCAdQY2UFhTr08itWLcLl5qaOv5wty49+vystLVViYqJNHVq0aKF+/frZNAsAAACgfnGKb4aHhoY2lRQnadB/3LLUQR0AAAAAqJEmTZrolltu+ckivLCwUA8//LC+/PJLI8/x9/fXvHnzNGnSJCN5AHD8w4+tOhpdklpGj1FAxw7XXNuyZYuys7Otfr7FYlFMTEyVP0gEAAAAAP/J4ZfhoaGhXSQlSur4j0vlkqo+RxAAAAAAHFxISIiaNWv2k+unT59WbGys/vrXvxp5TocOHRQXF6cePXoYyQOAy3tSlLlxk1UzXk2bqO290665dvHiRe3YscOmDuHh4WrduvU11wrOnpNfm9bVTAAAAACozxz6x2hDQ0OHSNqpfy/Cv5c0u+4aAQAAAIDt3N3dq1yEb9q0SeHh4cYW4ZGRkUpJSWERDsCYsrw8HZv7f1bPdXj4Qbn7+l5zLT4+XhUVFVZnBQQEaPjw4ddcKzhzVt+++EeV5eVZnQcAAADA9TnsMjw0NPQ+SeskBf3j0g5JAyRZdxYXAAAAADiIqo71ffvttzVy5EhlZmYaecZvf/tbJSYmKigo6MYfBoCbdGLeZyq18ljzoL591KT/te/23rdvn86cOWNTh9GjR8vb2/uaa+nv/59KMjN1Yt5nNmUCAAAAcG0OuQwPDQ2NlfS5JK9/XFoqafiRI0cu1V0rAAAAADCnqKhI999/v5588kmVlZXVOM/Pz0+LFi3SG2+8IXd33iwFwJzirEu6mLzJqhl3Xx91eOSha67l5+dr3bp1NnXo3Lmzunfvfs21jPUbdOXbQ5Kki8mbVJzFXxsBAAAAuJZDLsP19+PQ8//xz/8racqRI0eK6rAPAAAAABhz5swZDR48WJ9//rmRvHbt2mnHjh2aOnWqkTwA+LELa5MkK481D5k2Vd5Nm15zLSkpSUVF1v/1jqenp6Kioq65Vnrlik7O/+LfFyoqlJFk26IdAAAAgOtyyGX4kSNHvpU0XtIDR44ceerIkSPWv0gKAAAAABzQli1bFB4ertTUVCN5w4cPV2pqqnr16mUkDwB+rKK0VBnr1ls149++vVrFXLu8Pn78uNLS0mzqEBERoUaNGl1z7cSnn6ns6tVrrl1IWqcKAydtAAAAAHAdDrkMl6QjR46sO3LkyLy67gEAAAAApvzlL3/RiBEjdPHiRSN5v/71r7V27Vo1adLESB4A/KfLe1JUmp1z8wNubur46GxZfvS6hrKyMiUkJNj0/GbNmmnAgAHXXMv920Flbtz0k8+WZufo8u4Um54DAAAAwDU57DIcAAAAAFxFcXGxHnjgAT322GMqLS2tcZ6vr68WLFigN998k/eDA7CrnL8esOrzjXvfrsDOna65durUKeXkWLFQ/5GYmBi5uf37r68qSkuV/v6H1X4+56/7bXoOAAAAANfEMhwAAAAA7OjcuXMaMmSI5s0zc/DVLbfcou3bt+vee+81kgcA11NZWSHf1q3lERggWSw3/LxXUOOfXOvYsaNmzZqlNm3aWPXssLAwhYSEXHPt7LIVKjx3rtqZvPR0q54BAAAAwLV51HUBAAAAAHBV27dv18SJE5WRkWEk76677tLXX3+t4OBgI3kAcCOdH3v0X/9cWV6u0qtXVZqTq9IrV1R25YpKc6+oNPfv/16ae0UlObkqupAhnxbNr8lp3ry5HnjgAe3du1cbNmxQUVHRdZ/r7++vESNGXHOt8Nx5nV26/LpzBafPqKK0VG6eBZeN7gAAIABJREFUnlb+SgEAAAC4IpbhDqasrEyWm/hJazi/srKym7oG4P+zd+fhVZX32sfvzJCEQEgIYQxDmBIIyV6xVq1Wa51aT0kYBMEBx9KDise+qKiVVipWpcWqFXFEcAABE1v1aK3WqXq0rJ0wJGEKYR4zkJGMO+8fPewjJcFAnmTtJN/PP7261879/Liq+2r2j3stdDZ8/gHobAIDA5v8//BLlizRnDlzjNwWXZLmzJmjRYsWKTDwxF/jGhsb1dDQoMbGRiPnAHCWn5/fSf+ef/PNN6qoqFBoaKhCQ0MVFhZ2wn/++/vbbLaAAAX36qXgXr1a9P7GxsYTPh/9/PyUmpqq0aNH64MPPtCmTZua/dnLLrtM3bp1O+G1/CVL1fgdn6mN9fUq3Z6v8PjhLZoRANoDvwcD6Mr4DOzafOF/a5bhPiYvL8/pEeCg3Nxcp0cAAEfw+QegI4qMjFRcXNxJi/Da2lrNnj1bL7zwgpFzunXrpqVLl+q666476Vp1dbW2b9+umpoaI2cB8A1jx45VSEiI978HBgbq888/b/b9wcHBJyzI/31Z/u8L9KB2ak0395f9w8PDNWnSJI0fP17vvfeeSkpKTrg+fPhwjRs37oTXDv/9E5VubH55/m3bvvlGAVWVZzY0ALQTfg8G0JXxGYj2xDIcAAAAAE7TgAEDFBsbe9LrBw4c0KRJk/TVV18ZOWfgwIHKyMhQamrqSdeOHj2qgoICeTweI2cB8B2FhYUaMGCA97+PHTtWH3zwgWpra5t8f21trWpra09aKjcnKCioyYZ5c8vzby/mTYqPj9cvfvELffbZZ/ryyy/l8XgUGBion/zkJye8r668XDtffqXFuY11zrdPAAAAAPgGluEAAAAA0EIBAQEaOnSoevbsedK1r776SpMmTdKBAweMnHX++edrzZo1iomJOena/v37jZ0DwPcUFRWpf//+3mZ1cHCwkpKStG7dOiP5dXV1Ki0tVWlpaYveHxAQ0OzyvKkFevfu3Vs8S1BQkC6++GKNGzdO77zzjkaMGKHevXuf8J6dy1aorrSs5X/ABpbhAAAAAP6FZTgAAAAAtEC3bt00fPjwk55hK0kvvPCCZs+e3Wxr83TNnj1bixcvPulWxg0NDSooKGjxAgtAx1RXV6ejR48qMjLS+5plWcaW4aeroaFB5eXlKi8vb9H7/f39vQvynj17Ki0tTaGhoaf8mZiYGN14440n3e2iNCdXhz/6+PQGDuDrLgAAAAD/wm8HPmbMmDHt9uwuOKu+vv6k52IkJCQoMJB/LQF0bnz+AeiI/Pz8FBAQcNLzb+vq6nTHHXfo2WefNXJOSEiInnnmGd14440nXWtsbJTH41FcXJyRswD4tn//vImNjVX//v21f/9+hyZqOY/Ho4qKClVWVuqHP/zhSYvwyt17VJabq9hLfiy/gIATrvn7+/9fTl2d8pcslRobT+v8uOHDFJWUdOZ/AAAwjN+DAXRlfAZ2bXV1dcrLy3N0Bv5J8zGBgYEsw7sw/vcH0FXx+QegIzp06JAmT56sL774wkjegAEDtHbtWp199tlNXvfz8+OzEujiUlNT9ec//9npMVrssssuU0JCwgmv1RQWKfc3C1RbWKTDH36k4b/4ucLjhzf58/sy/6xje/ae9rlhAwfyeQnA5/F7MICujM/ArqPxNP9ia1vw/+63AAAAAAC+7ZtvvpFlWcYW4eedd57WrVvX7CIcACQpMTFRISEhTo/RIueee+5Jn2n1lZXKfei3qi0skiRVbM/X+rn3asfzL6nh2LET3nvswEHtfXPNaZ/rFxiosCHcQQMAAADAv7AMBwAAAIDT8PLLL+uCCy7Qvn37jOT9/Oc/19///nfFxsYayQPQeQUHB2vcuHFOj/Gdxo4dq0suueSE1zx1ddr8yGOq2rX7xDd7PDrwzrtyz75DhV98KU9dnaoPHdKWRx+Xp7b2tM8OHTxI/rSMAAAAAPwvbpMOAAAAAC1QX1+vO++8U3/605+M5AUHB+vpp5/WLbfcYiQPQNdgWZbWrVvn9BjNGjJkiNLS0k56fdsfn1bpxk3N/lxtUbG2PP57+QUFqbGu7ozPDx/e9C3XAQAAAHRNLMMBAAAA4DscPnxYU6ZM0WeffWYkr1+/flq7dq3OOeccI3kAuo7Y2FgNGDDA2N0pTIqJidHUqVMVEBBwwus7ly1X4ecte6xEaxbhktQrJblVPw8AAACgc+E26QAAAABwCuvWrVNqaqqxRfj3v/992bbNIhzAGbMsy+kRThIREaEZM2aoW7duJ7y+/513tS/j7XaZISiyl3qffVa7nAUAAACgY2AZDgAAAADNWL58uc4//3zt2bPHSN7NN9+sTz/9VP369TOSB6BrGjt2rIKDg50ewyskJEQzZsxQRETECa8XfvmVCl5c1m5zxF56ifwDuQkiAAAAgP/DMhwAAAAA/k19fb3mzJmj66+/XtXV1a3OCwoK0pIlS/T888+ftMBqbGxsdT6AriUoKEiRkZFOjyFJCggI0LRp0xQTE3PC66U5udr6hz9KHk/7DOLvr76XXdI+ZwEAAADoMPjrsgAAAADwLYWFhZoyZYo++eQTI3l9+/bVmjVr9IMf/OCka2VlZerevbuCgoKMnAWgaygtLdWRI0ecHkOSlJaWpiFDhpzwWtWePdq88NFWP//7dMT86EKFREW123kAAAAAOgaW4QAAAADwv7KyspSenq5du3YZyfve976nt956SwMGDDjp2sGDB7Vv3z4lJSUZOQtA51dTU6NNmzbpk08+kae9GtencOmll2rs2LEnvFZbXKzc3zys+oqKdpsjuHdvDb3h+nY7DwAAAEDHwTIcAAAAACS99tpruuWWW3Ts2DEjeTfccIOWLFmikJCQE173eDzauXOnSkpKjJwDoPPbv3+/bNvWpk2bVFtb6/Q4kqSzzz5b55xzzgmv1VdVKfehh1XTzq314bNnKTA8vF3PBAAAANAxsAwHAAAA0KU1NDTo7rvv1h/+8AcjeYGBgVq8eLFuu+22k641NjZq8+bNxhbuADqv2tpabdy4UbZt68CBA06Pc4KEhARddtllJ7zmqa/X5t89rsqCne06S5+LLlTvVKtdzwQAAADQcbAMBwAAANBlFRUVaerUqfroo4+M5MXExGj16tW64IILmrxeX1/PIhzAKR04cEC2bWvjxo0+0wL/tsGDBys9PV1+fn4nvL79qWdUun5Du84SPmKEhv/85nY9EwAAAEDHwjIcAAAAQJe0fv16paWlaefOnUbyUlNT9dZbb2nQoEFG8gB0HbW1tdq0aZNs29b+/fudHqdZffr00bRp0xQYeOLXSTuXv6ojn3zarrOExg1WwoP3K6B793Y9FwAAAEDHwjIcAAAAQJezcuVK3XTTTaqqqjKSd91112np0qXq1q2bkTwAXcPBgwe9LfCamhqnxzmlHj16aMaMGer+b8vnA++9r31rM9p1lvARI5Tw4P0KiujRrucCAAAA6Hg64jL8iKRaScGS9jk8CwAAAIAOpKGhQfPmzdPjjz9uJC8wMFCLFi3SnDlzjOQB6Pzq6uq8LfB9+zrG1xohISGaPn26evbsecLrjQ0NKt+2vV1n6XPRhRr+85tphAMAAABokQ63DN+yZUuOpBCn5wAAAADQsZSUlGjatGn661//aiQvOjpaq1ev1oUXXmgkD0DndujQIdm2rQ0bNvh8C/zb/P39ddVVVyk2Nvaka34BARo55zZFn/t9bf/Ts6orKWmzOYIiIxU/e5Z6n5XaZmcAAAAA6Hw63DIcAAAAAE7Xxo0blZaWph07dhjJS0lJUUZGhuLi4ozkAeic6urqlJOTI9u2tXfvXqfHOSMTJkzQsGHDTvme3melyvX0Eyp4+RUd/vgTyeMxN4C/v2J+dKGG3nC9AsPDzeUCAAAA6BJYhgMAAADo1FavXq0bbrhBlZWVRvJmzJih559//qTn5gLAcYcPH/a2wKurq50e54xdfPHFSkpKatF7A8PDNeL22Rp89TQd+uuHOvjXD1VXcvSMzw6K7KXYSy9R38suUUhU1BnnAAAAAOjaWIYDAAAA6JQ8Ho/uv/9+/e53vzOSFxAQoMcee0x33XWXkTwAnUtnaIF/21lnnaUf/OAHp/1zIdFRGjx9mgZeNVnFX/9TR7OyVZGfr6rde9RYX9/sz/kFBip08CCFDx+uXinJ6n32WfIP5GsrAAAAAK3DbxUAAAAAOp2jR4/q6quv1vvvv28kLyoqSqtWrdLFF19sJA9A53HkyBHZtq3169c72gIPCQkx9izy0aNH64orrmhVhn9goKLPO0fR550jSfLU1al0e762ffONGuvqpYZ6KSBQccOHKWzgQIUNiZN/UJCJ8QEAAADAi2U4AAAAgE4lJydHaWlp2r59u5G88ePHKzMzU0OGDDGSB6Djq6+v97bA9+zZ49gcvXv3lsvlUnJyssLCwrRt2zatXLlSnlY8s3vQoEGaOHGi/Pz8DE4q+QcFKTx+uAKqTnxkRVRSkoJYggMAAABoIyzDAQAAAHQab731lq6//npVVFQYyZs6dapeeuklhYaGGskD0LH5Qgvc399fo0ePlmVZGjZs2AnXRowYobPOOktff/31GWVHRUXp6quvZjkNAAAAoNNgGQ4AAACgw/N4PHrwwQe1cOFCNTY2tjrP399fjzzyiO6++24D0wHoyOrr65WbmyvbtrV7927H5oiMjJRlWd4WeHNSU1PPaBkeHh6ua665Rt27d2/NmAAAAADgU1iGAwAAAOjQSktLNWPGDL377rtG8iIjI7Vy5UpdeumlRvIAdEyFhYXeFvixY8ccmeF4C9zlcmn48OEt+pno6GjFxcVp165dLT4nODhY06dPV69evc50VAAAAADwSSzDAQAAAHRYeXl5SktL09atW43kjR07VpmZmS1eOgHoXOrr65WXlyfbtk9rmWxar169vC3w8PDw0/55l8vV4vn9/f01ZcoU9evX77TPAQAAAABfxzIcAAAAQIf09ttv69prr1V5ebmRvMmTJ2vZsmWnvP0wgM6pqKhItm0rOzvb0Rb4qFGjZFlWq/9CTkJCgt5///0W/Vn+4z/+Q/Hx8a06DwAAAAB8FctwAAAAAB3Or3/9az300EPGng/+29/+VvPmzTMwGYCOoqGhwdsC37lzp2Nz9OrVSy6XSykpKWfUAm9KYGCgkpOT9dVXX53yfRdddJGSk5ONnAkAAAAAvohlOAAAAIAOo7y8XNdee63efvttI3m9evXS66+/riuuuMJIHgDfV1RUJLfbrezsbFVVVTkyg7+/v0aOHOltgfv5+Rk/w+VynXIZblmWLrjgAuPnAgAAAIAvYRkOAAAAoEPYunWr0tLSlJeXZyQvISFBb7/9NrcHBrqAhoYGbd68WbZtq6CgwLE5evbs6W2B9+jRo03Pio6OVlxcXJPPDh85cqR+8pOftOn5AAAAAOALWIYDAAAA8HnvvPOOrrnmGpWWlhrJS09P1/Lly43dkhiAbyouLva2wCsrKx2Zwc/Pz9sCj4+Pb5MWeHMsyzppGT5gwABNnjxZ/v7+7TYHAAAAADiFZTgAAAAAn7ZgwQLNnz/fyPPB/fz89NBDD+mBBx4wMBkAX+QrLfCIiAhvCzwiIsKRGRISEvT+++97bwffu3dvXX311QoKCnJkHgAAAABobyzDAQAAAPikiooKXXfddcrIyDCS17NnT7366qu68sorjeQB8C0lJSVyu93KyspytAU+YsQIWZalESNGtGsLvCkBAQFKTk7Wl19+qbCwMM2YMUNhYWGOzgQAAAAA7YllOAAAAACfs337dqWlpSknJ8dI3ujRo/X2229r5MiRRvIA+AaPx+Ntge/YscOxOSIiIpSSkiKXy+VYC7w5LpdL69at09VXX63evXs7PQ4AAAAAtCuW4QAAAAB8yn//939r+vTpOnr0qJG8n/3sZ1qxYoXPLagAnLnjLfDs7GxVVFQ4MoOfn5/i4+O9LXBffQZ3VFSUbrrpJsXExDg9CgAAAAC0O5bhAAAAAHzGI488ogceeEAej6fVWX5+fnrwwQf161//uvWDAXCcx+PRli1bZNu28vPzHZujR48e3meB9+zZ07E5TgeLcAAAAABdFctwAAAAAI6rrKzUzJkztWbNGiN5PXr00IoVKzRhwgQjeQCcc/ToUe+zwJ1ugbtcLo0cOdJnW+AAAAAAgBOxDAcAAADgqB07digtLU0bN240kjdy5EhlZmZqzJgxRvIAtD+Px6OtW7d6W+CNjY2OzNGjRw+lpKQoJSVFvXr1cmQGAAAAAMCZYxkOAAAAwDF//etfNW3aNJWUlBjJu/LKK/Xqq692mFsXAzhRaWmptwVeXl7uyAx+fn4aPny4LMuiBQ4AAAAAHRzLcAAAAACOeOyxx3TfffepoaGh1Vl+fn66//77tWDBAgOTAWhPHo9H27Ztk23b2r59u2Mt8PDwcKWkpMjlctECBwAAAIBOgmU4AAAAgHZVVVWlG2+8UatWrTKSFx4eruXLlys9Pd1IHoD2UVpaqqysLGVlZamsrMyxOY63wEeNGkULHAAAAAA6GZbhAAAAANpNQUGB0tPTtX79eiN58fHxyszMVGJiopE8AG3L4/Fo+/btsm1b27Ztc6wFHhYW5m2BR0ZGOjIDAAAAAKDtsQwHAAAA0C4++ugjTZ06VUVFRUbyrrjiCr3++uvczhjoAMrKypSVlSW32+1oC3zYsGHeFnhAQIBjcwAAAAAA2gfLcAAAAABt7ve//73uueceI88Hl6R58+bpt7/9Lbc0BnxYY2Ojtm3bJrfbra1btzraAk9OTpbL5VLv3r0dmQEAAAAA4AyW4QAAAADazLFjx3TzzTfr9ddfN5IXFhamZcuWafLkyUbyAJhXXl7ubYGXlpY6NsfQoUNlWZZGjx5NCxwAAAAAuiiW4QAAAADaxK5du5Senq6srCwjecOGDVNmZqbGjRtnJA+AOY2Njd5ngTvZAg8NDVVycrIsy6IFDgAAAABgGQ4AAADAvL///e+66qqrVFhYaCTv0ksv1cqVKxUZGWkkD4AZvtICHzJkiCzL0pgxY2iBAwAAAAC8WIYDAAAAMOqJJ57Q3LlzVV9fbyTv7rvv1sKFC1lwAT6isbFR+fn53ha4x+NxZI7jLXCXy6WoqChHZgAAAAAA+DaW4QAAAACMqK6u1q233qoVK1YYyQsNDdVLL72kqVOnGskD0DoVFRXeFvjRo0cdm2PIkCFyuVwaM2aMAgP5WgMAAAAA0Dx+awQAAADQanv27FF6erps2zaSN2TIEGVmZmr8+PFG8gCcueMt8C1btjjWAu/evbu3BR4dHe3IDAAAAACAjodlOAAAAIBW+eyzzzRlyhQdPnzYSN7FF1+sVatWcdtjwEEVFRXKzs6W2+1WSUmJY3PExcV5nwVOCxwAAAAAcLr4TRIAAADAGXvqqad01113GXs++F133aXHHnuM54MDDtmxY4ds29bmzZsdbYGPHz9elmXRAgcAAAAAtArLcAAAAACnraamRrNmzdKyZcuM5HXv3l3PP/+8ZsyYYSQPQMtVVlYqOztbtm072gIfPHiwLMtSQkICLXAAAAAAgBH8dgkAAADgtOzbt08TJ07UN998YyRv8ODByszMVEpKipE8AC1TUFDgbYE3NDQ4MkO3bt28LfA+ffo4MgMAAAAAoPNiGQ4AAACgxb744gtNnjxZhw4dMpJ34YUX6s0332QJBrSTyspKrV+/XrZtq7i42LE5Bg0a5G2BBwUFOTYHAAAAAKBzYxkOAAAAoEWWLFmiOXPmqK6uzkjenDlztGjRIm6HDLSDgoICud1u5eXlOdoCT0pKkmVZiomJcWQGAAAAAEDXwrdOAAAAAE6ptrZWs2fP1gsvvGAkr1u3blq6dKmuu+46I3kAmlZVVeVtgRcVFTk2x8CBA2VZlhITE2mBAwAAAADaFctwAAAAAM06cOCAJk2apK+++spI3qBBg/TWW28pNTXVSB6Ak+3cuVO2bTvaAg8JCfG2wPv27evIDAAAAAAAsAwHAAAA0KSvvvpKkyZN0oEDB4zkXXDBBVq9ejW3RwbawPEWuNvtVmFhoWNzDBgwQJZlaezYsbTAAQAAAACOYxkOAAAA4CTPP/+8brvtNtXW1hrJmz17thYvXsxyDDBs165dsm1bubm5jrfAXS6XYmNjHZkBAAAAAICmsAwHAAAA4FVXV6fbb79dS5cuNZIXEhKiJUuW6IYbbjCSB0A6duyY91ngvtACT0xMVHBwsGNzAAAAAADQHJbhAAAAACRJBw8e1OTJk/WPf/zDSN6AAQP01ltv6Xvf+56RPKCr2717t7cFXl9f78gMwcHB3meB0wIHAAAAAPg6luEAAAAA9PXXX2vSpEnat2+fkbzzzjtPa9euVd++fY3kAV1VdXW1twV+5MgRx+bo37+/91ngtMABAAAAAB0Fy3AAAACgi3vppZf0n//5n6qpqTGSN2vWLD355JM8HxxohT179si2beXk5DjaAh83bpwsy1K/fv0cmQEAAAAAgNZgGQ4AAAB0UXV1dbrzzjv1zDPPGMkLDg7Wn/70J918881G8oCuprq6Whs2bJBt2zp8+LBjc/Tr10+WZWncuHG0wAEAAAAAHRrLcAAAAKALOnz4sCZPnqzPP//cSF6/fv20du1anXPOOUbygK5k7969sm1bmzZtcrQFPnbsWFmWpf79+zsyAwAAAAAAprEMBwAAALqYdevWKT09XXv37jWSd84552jt2rXcRhk4DdXV1dq4caNs29ahQ4ccmyM2NtbbAg8JCXFsDgAAAAAA2gLLcAAAAKALeeWVVzRr1ixVV1cbybvlllv09NNPcytloIX27t0rt9utTZs2qa6uzpEZgoKCvC3wAQMGODIDAAAAAADtgWU4AAAA0AXU19frl7/8pZ588kkjeUFBQXryySc1a9YsI3lAZ1ZTU6ONGzdq3bp1jrbA+/btq9TUVFrgAAAAAIAug2U4AAAA0MkdOXJEV111lT755BMjebGxsVqzZo3OO+88I3lAZ7Vv3z7vs8CdbIEnJibKsiwNHDjQkRkAAAAAAHAKy3AAAACgE3O73UpPT9fu3buN5J199tlau3Ytt1YGmnG8BW7btg4ePOjYHDExMd4WeLdu3RybAwAAAAAAJ7EMBwAAADqpV199VbfeequOHTtmJO/GG2/UM888w+2VgSbs37/f2wKvra11ZIbAwECNHTtWLpdLgwYNcmQGAAAAAAB8CctwAAAAoJNpaGjQ3LlztXjxYiN5QUFBWrx4sWbPnm0kD+gsamtrvS3wAwcOODZHTEyMLMtSUlISLXAAAAAAAL6FZTgAAADQiRQVFWnq1Kn66KOPjOTFxMRozZo1Ov/8843kAZ3BgQMHZNu2Nm7c6GgL/PizwGmBAwAAAADQNJbhAAAAQCeRnZ2t9PR07dy500heamqqMjIyNHDgQCN5QEdWW1urTZs2ybZt7d+/37E5+vTp422Bd+/e3bE5AAAAAADoCFiGAwAAAJ3AypUrddNNN6mqqspI3nXXXaelS5dyy2V0eQcPHpRt29qwYYOjLfCEhARZlqXBgwc7MgMAAAAAAB0Ry3AAAACgA2toaNC9996rRYsWGckLDAzUokWLNGfOHCN5QEdUW1urnJwcrVu3ztEWeHR0tCzL0vjx42mBAwAAAABwBliGAwAAAB1UcXGxpk2bpg8//NBIXnR0tFavXq0LL7zQSB7Q0Rw6dMjbAq+pqXFkhoCAAG8LPC4uzpEZAAAAAADoLFiGAwAAAB3Qhg0blJ6erh07dhjJS0lJUUZGBss3dDl1dXXeZ4Hv27fPsTmioqKUmpqqpKQkhYaGOjYHAAAAAACdCctwAAAAoINZvXq1brjhBlVWVhrJmzFjhp5//nluw4wu5fDhw7JtW+vXr3e0BT5mzBhZlqUhQ4Y4MgMAAAAAAJ0Zy3AAAACgg/B4PLrvvvv06KOPGskLCAjQY489prvuustIHuDr6urqlJOTI9u2tXfvXsfmiIqKksvlUnJyMi1wAAAAAADaEMtwAAAAoAMoKSnR9OnT9f777xvJi4qK0qpVq3TxxRcbyQN82fEW+IYNG1RdXe3IDAEBARo9erQsy9LQoUMdmQEAAAAAgK6GZTgAAADg4zZt2qS0tDTl5+cbyRs/frwyMzO5LTM6tfr6em8LfM+ePY7N0bt3b1mWpfHjxyssLMyxOQAAAAAA6IpYhgMAAAA+bO3atZo5c6YqKiqM5E2bNk0vvvgit2ZGp3XkyBHvs8CdaoH7+/trzJgxcrlcGjZsmCMzAAAAAAAAluEAAACAT/J4PHrwwQe1cOFCNTY2tjovICBAjzzyiObOnWtgOsC31NfXKzc3V7Zta/fu3Y7NERkZKcuylJycTAscAAAAAAAfwDIcAAAA8DGlpaWaMWOG3n33XSN5kZGRWrlypS699FIjeYCvKCws9LbAjx075sgM/v7+3meB0wIHAAAAAMC3sAwHAAAAfEheXp7S0tK0detWI3njxo1TZmYmSzp0GvX19crLy5Nt29q1a5djc0RGRsrlcik5OVnh4eGOzQEAAAAAAJrHMhwAAADwEW+//bauvfZalZeXG8mbMmWKXn75ZW7XjE6hsLBQbrdb2dnZjrbAR40aJcuyNHz4cEdmAAAAAAAALccyHAAAAPAB8+fP14IFC4w8H9zf318PP/yw7r33XgOTAc5paGjwPgvcyRZ4r1695HK5lJKSQgscAAAAAIAOhGU4AAAA4KCysjJde+21+vOf/2wkr1evXnrjjTd0+eWXG8kDnFBUVORtgVdVVTkyg7+/v0aOHOltgfv5+TkyBwAAAAAAOHMswwEAAACHbNmyRWlpadq8ebORvMTERGVmZio+Pt5IHtCeGhoavM8C37lzp2Nz9OzZ09sC79Gjh2NzAAAAAACA1mMZDgD+RW/IAAAgAElEQVQAADjgnXfe0YwZM1RWVmYkb+LEiXrllVe4hTM6nOLiYtm27WgL3M/Pz9sCj4+PpwUOAAAAAEAnwTIcAAAAaGcLFizQ/PnzjT0f/De/+Y0eeOABA5MB7aOhoUGbN2+WbdsqKChwbA5a4AAAAAAAdG4swwEAAIB2Ul5eruuvv14ZGRlG8nr27KnXXntNP/3pT43kAW2tpKTE2wKvrKx0ZAY/Pz+NGDFClmVpxIgRtMABAAAAAOjEWIYDAAAA7WDbtm1KS0tTbm6ukbwxY8YoMzNTI0eONJIHtJWGhgZt2bJFtm1rx44djs0RERHhbYFHREQ4NgcAAAAAAGg/LMMBAACANvbee+9pxowZOnr0qJG8CRMmaMWKFdzWGT6tpKREbrdb2dnZqqiocGSG4y1wl8ulESNGyN/f35E5AAAAAACAM1iGAwAAAG1o4cKF+tWvfiWPx9PqLD8/P82fP1/z5883MBlgnsfj8bbA8/PzHZujR48e3hZ4z549HZsDAAAAAAA4i2U4AAAA0AYqKys1c+ZMrVmzxkheRESEVqxYoZ/97GdG8gCTjh49KrfbraysLEdb4PHx8d5ngdMCBwAAAAAALMMBAAAAw/Lz85WWlqZNmzYZyRs1apQyMzM1evRoI3mACR6PR1u3bvW2wBsbGx2Zo0ePHkpJSZHL5aIFDgAAAAAATsAyHAAAADDogw8+0NVXX62SkhIjeVdeeaVee+01RUREGMkDWqu0tNTbAi8vL3dkBj8/Pw0fPlyWZWnkyJG0wAEAAAAAQJNYhgMAAACGPProo7rvvvuMPR/8gQce0EMPPWRgMqB1fKUFHh4e7m2B9+rVy5EZAAAAAABAx8EyHAAAAGilqqoq3XjjjVq1apWRvPDwcC1fvlzp6elG8oAzVVpaqqysLLndbsda4JK8LfBRo0bRAgcAAAAAAC3GMhwAAABohYKCAqWlpWnDhg1G8uLj45WZmanExEQjecDp8ng82rZtm2zb1vbt2x1tgScnJ8vlcikyMtKRGQAAAAAAQMfGMhwAAAA4Q3/72980depUFRcXG8m74oor9Prrr3P7ZziirKzM+yzwsrIyx+YYNmyYtwUeEBDg2BwAAAAAAKDjYxkOAAAAnIFFixbp3nvvVUNDg5G8efPm6be//S23gEa7amxs9LbAt23b5lgLPCwszPsscFrgAAAAAADAFJbhAAAAwGk4duyYbrrpJr3xxhtG8sLCwrRs2TJNnjzZSB7QEmVlZcrKylJWVpZKS0sdm2Po0KGyLEujR4+mBQ4AAAAAAIxjGQ4AAAC00K5du5Senq6srCwjecOGDVNmZqbGjRtnJA84lcbGRm3fvl22bWvr1q2OtcBDQ0O9LfDevXs7MgMAAAAAAOgaWIYDAAAALfDxxx9r6tSpKiwsNJJ36aWXauXKldwSGm2uvLxcWVlZcrvdjrfAXS6XxowZQwscAAAAAAC0C5bhAAAAwHdYvHix5s6da+z54HfffbcWLlzIQhBtprGxUfn5+d4WuMfjcWSO0NBQJScny+VyKSoqypEZAAAAAABA18UyHAAAAGhGdXW1brnlFr366qtG8kJDQ/XSSy9p6tSpRvKAf1dRUeFtgR89etSxOYYMGSLLsmiBAwAAAAAAR7EMBwAAAJqwZ88epaeny7ZtI3lDhw5VRkaGxo8fbyQP+LbjLfAtW7Y41gLv3r27kpOTZVkWLXAAAAAAAOATWIYDAAAA/+bTTz/VlClTdOTIESN5F198sVatWsWCEEZVVFQoOztbtm072gKPi4vztsADA/kVEwAAAAAA+A6+qQAAAAC+5amnntJdd92l+vp6I3m//OUv9eijj3KraBiTn58vt9utzZs3O9oCHz9+vCzLUnR0tCMzAAAAAAAAfBeW4QAAAICkmpoazZo1S8uWLTOS1717d73wwguaPn26kTx0PiEhIYqOjm5Rm7qystLbAi8pKWmH6Zo2ePBgWZalhIQEWuAAAAAAAMDn8e0FAAAAurx9+/Zp4sSJ+uabb4zkxcXFKSMjQykpKUby0LlERkYqOjpaERER3/neHTt2yLZtR1vg3bp187bA+/Tp48gMAAAAAAAAZ4JlOAAAALq0L774QpMnT9ahQ4eM5F100UV68803uXU0mhQYGKhhw4ad8j3HW+But1vFxcXtNNnJBg0aJMuylJiYSAscAAAAAAB0SHyjAQAAgC5ryZIlmjNnjurq6ozkzZkzR4sWLWJxiGb5+fk1e62goMDbAm9oaGjHqf7P8Ra4y+VSTEyMIzMAAAAAAACYwrd0AAAA6HJqa2s1e/ZsvfDCC0byunXrpueee07XXnutkTx0HVVVVd5ngTvdAne5XEpMTFRQUJBjcwAAAAAAAJjEMhwAAABdyv79+zVp0iT9z//8j5G8QYMGKSMjQ5ZlGclD17Bz507Ztq28vDzHWuAhISHeFnjfvn0dmQEAAAAAAKAtsQwHAABAl/Hll19q8uTJOnDggJG8Cy64QKtXr+Z20miRqqoqrV+/XrZtq6ioyLE5Bg4cKJfLpbFjx9ICBwAAAAAAnRrLcAAAAHQJzz33nG6//XbV1tYaybvtttu0ePFing+O77Rr1y7Ztq3c3FxHW+BJSUmyLIsWOAAAAAAA6DL45g4AAACdWm1trW6//XY999xzRvJCQkL07LPPaubMmUby0DkdO3bM2wIvLCx0bI4BAwbIsixa4AAAAAAAoEtiGQ4AAIBO6+DBg5o0aZK+/PJLI3kDBgzQW2+9pe9973tG8tD57N6929sCr6+vd2SGkJAQjRs3TpZlKTY21pEZAAAAAAAAfAHLcAAAAHRKX3/9tSZOnKj9+/cbyfvBD36gNWvWcItpnOTYsWPasGGDbNvWkSNHHJujf//+3hZ4cHCwY3MAAAAAAAD4CpbhAAAA6HRefPFFzZ49WzU1NUbyfvGLX+iPf/wjt5nGCXbv3i23262cnBzHWuDBwcHeFni/fv0cmQEAAAAAAMBXsQwHAABAp1FXV6c777xTzzzzjJG84OBg/elPf9LNN99sJA8dX3V1tbcFfvjwYcfm6Nevn1JTU2mBAwAAAAAAnALLcAAAAHQKhw4d0pQpU/T5558byevfv7/Wrl2r73//+0by0LHt2bNHtm073gIfO3asLMtS//79HZkBAAAAAACgI2EZDgAAgA7vn//8pyZOnKi9e/cayTvnnHO0du1abjvdxflKCzw2NtbbAg8JCXFsDgAAAAAAgI6GZTgAAAA6tGXLlukXv/iFqqurjeTdcsstevrpp7n1dBe2d+9ebwu8rq7OkRmCgoI0btw4uVwuDRgwwJEZAAAAAAAAOjqW4QAAAOiQ6uvrddddd+mpp54ykhcUFKQnn3xSs2bNMpKHjqWmpsbbAj906JBjc8TGxsqyLI0bN44WOAAAAAAAQCuxDAcAAECHc+TIEU2ZMkWffvqpkbzY2FitWbNG5513npE8dBz79u2TbdvatGmToy3w488CpwUOAAAAAABgDstwAAAAdChut1vp6enavXu3kbyzzz5ba9euZQnZhdTU1Gjjxo2ybVsHDx50bI6+ffvKsiwlJSXRAgcAAAAAAGgDLMMBAADQYaxYsUK33nqrseeD33jjjXrmmWdYRHYR+/fv97bAa2trHZkhMDDQ2wIfOHCgIzMAAAAAAAB0FSzDAQAA4PPq6+s1d+5cPfHEE0bygoKCtHjxYs2ePdtIHnxXbW2ttwV+4MABx+aIiYnxtsC7devm2ByQPv30U916661NXrv33nt1ww03tPNEAAAAAACgrbAMBwAAgE8rLCzU1KlT9fHHHxvJi4mJ0Zo1a3T++ecbyYNvOnDggGzb1saNGx1tgScmJsqyLA0aNMiRGXCy3NzcZq8lJCS04yQAAAAAAKCtsQwHAACAz8rOzlZaWpp27dplJC81NVUZGRncnrqTqq2t1aZNm7Ru3TpHW+B9+vTxtsC7d+9+yvfW1tYqICBAAQEB7TQdmluG+/n5sQwHAAAAAKCTYRkOAAAAn/TGG2/opptu0rFjx4zkXX/99Xr22We5RXUndPDgQdm2rQ0bNjjaAk9ISJBlWRo8ePAp39vY2KiysjIdOXJEpaWlSkpKYhnejnJycpp8ffDgwerRo0c7TwMAAAAAANoSy3AAAAD4lIaGBt1zzz36/e9/byQvMDBQv//973XHHXcYyYNvqK2tVU5OjtatW6f9+/c7Nkd0dLRSU1Nb1AKX/vXPd25urmNL+66utLRU+/bta/IarXAAAAAAADofluEAAADwGcXFxZo6dar+9re/Gcnr06eP3nzzTV144YVG8uC84y3wjRs3qqamxpEZAgMDNWbMGFmWpbi4uNP6WY/HwyLcQTwvHAAAAACAroVlOAAAAHzChg0blJaWpoKCAiN5LpdLGRkZ33nLavi+uro6bdq0SbZtN9vqbQ/R0dGyLEvjx49vUQscvqe5W6RLUmJiYjtOAgAAAAAA2gPLcAAAADjuzTff1A033KCqqiojeddcc42ee+45FpYd3KFDh7zPAneqBR4QEOBtgQ8ZMsSRGWAOzXAAAAAAALoWluEAAABwjMfj0bx58/TYY48ZyQsICNDjjz+u//qv/zKSh/ZXV1ennJwc2batvXv3OjZHVFSUtwUeGhrq2Bwwq7lm+IABAxQZGdnO0wAAAAAAgLbGMhwAAACOKCkp0fTp0/X+++8byYuKitKqVat08cUXG8lD+zp8+LC3BV5dXe3IDLTAO7fKykrt3r27yWu0wgEAAAAA6JxYhgMAAKDdbdq0SWlpacrPzzeSl5ycrIyMDBaYHUx9fb23Bb5nzx7H5ujdu7csy1JycjIt8E4sLy9PHo+nyWsswwEAAAAA6JxYhgMAAKBdrV27VjNnzlRFRYWRvGnTpunFF19kidmBHDlyRLZta/369Y62wEePHi3LsjR06FBHZkD7OtXzwhMTE9txEgAAAAAA0F5YhgMAAKBdeDwe/epXv9IjjzyixsbGVucFBATod7/7nf7f//t/BqZDW6uvr1dubq5s2272VtXtITIy0tsCDwsLc2wOtD+W4QAAAAAAdD0swwEAANDmSktLNX36dL333ntG8nr37q2VK1fqkksuMZKHtlNYWOhtgR87dsyRGfz9/b0t8GHDhjkyA5yXk5PT5OsxMTGKjo5u52kAAAAAAEB7YBkOAACANpWXl6e0tDRt3brVSF5SUpIyMjJYavowX2qBu1wuJScnKzw83LE54Lyamhrt2LGjyWu0wgEAAAAA6LxYhgMAAKDNZGZm6rrrrlN5ebmRvClTpujll1/m9tY+qrCwUG63W9nZ2Y62wEeNGiXLsjR8+HBHZoDv2bJli+rr65u8dqpleG1trb7++mt98cUX2rx5s3bu3KmysjLV1NSoW7duio2NVXx8vM466yxdeuml6tu3b1v9EQAAAAAAwBlgGQ4AAIA2MX/+fC1YsMDI88H9/f318MMP69577zUwGUxqaGjwtsB37drl2By9evWSy+VSSkoKLXCcpLlbpEtSQkLCSa/t27dPK1as0Jo1a5r9yzyVlZXKz89Xfn6+PvjgAy1cuFCXX3655syZoyFDhpgaHQAAAAAAtALLcAAAABhVVlama665Rn/5y1+M5EVGRur111/X5ZdfbiQPZhQVFXmfBV5VVeXIDP7+/ho5cqQsy1J8fLwjM6BjyM3Nbfbat5vhFRUVWrJkiV555RXV1dWd1hkej0fvvfeePvroI91999265pprznheAAAAAABgBstwAAAAGLNlyxZNmDBBW7ZsMZI3duxYZWZmcrtrH9HQ0KC8vDzZtq2dO3c6NkfPnj1lWZaSk5PVo0cPx+ZAx9HcMjwqKkqxsbGSpI0bN+rOO+/U3r17W3VWTU2NFixYoF27dun+++9vVRYAAAAAAGgdluEAAAAw4i9/+YuuueYalZWVGcmbNGmSli1bxi2vfUBxcbFs21Z2drbjLXCXy6X4+Hj5+fk5Mgc6nvr6em3durXJa8dvkf7uu+/qnnvuOe02+KksX75c0dHR+vnPf24sEwAAAAAAnB6W4QAAAGi1hx56SL/+9a+NPR/8oYceolHpsIaGBm3evFm2baugoMCxOXr27Ol9FjgtcJyJ7du3q7a2tslriYmJyszM1Lx58+TxeJp8T1BQkIYOHapevXqprq5ORUVF2rdvnxoaGr7z7Keeekrnnnuuxo0b16o/AwAAAAAAODMswwEAAHDGysvLdd111ykzM9NIXs+ePfXaa6/ppz/9qZE8nL7i4mK53W5lZ2ersrLSkRn8/PxOeBY4LXC0Rk5OTrPXKisr9cADD5y0CA8JCVFaWpp++tOfyuVyKSgo6ITrJSUl+vvf/66lS5ee8pEBdXV1mjt3rt555x0FBvLrNwAAAAAA7Y3fxgEAAHBGtm3bpgkTJigvL89I3pgxY5SZmamRI0cayUPLNTQ0aMuWLbJtWzt27HBsjoiICG8LPCIiwrE50Lk097xwSXr99ddPanhPmDBBd999t6Kjo5v9ucjISE2cOFFXXnml/vCHP+jll19u9r0FBQX68MMPdcUVV5z+8AAAAAAAoFVYhgMAAOC0vffee5o+fbpKS0uN5E2YMEErVqzgNtjtrKSkRG63W1lZWY62wEeMGOFtgfv7+zsyBzqvUzXDv70IDw0N1SOPPKLLL7+8xdnBwcG69957FRISomeffbbZ9y1fvpxlOAAAAAAADmAZDgAAgNPy8MMP68EHH2z2+bqnw8/PT/Pnz9f8+fMNTIaW8Hg83hZ4fn6+Y3NEREQoJSVFKSkp6tmzp2NzoHM7/s/7dwkLC9NLL72k5OTkMzpnzpw5+uabb+R2u5u87na7tWvXLsXFxZ1RPgAAAAAAODMswwEAANAiFRUVmjlzptauXWskLyIiQitWrNDPfvYzI3k4taNHj3pb4BUVFY7M4Ofnp/j4eFmWpREjRtACR5srKChQVVXVKd8TEBCgp59++owX4ZLk7++v+fPna8KECc2+x+12swwHAAAAAKCdsQwHAADAd8rPz9eECRNOebvh0zFq1ChlZmZq9OjRRvLQtG+3wHfs2KHGxkZH5ujRo4dSUlLkcrlogaNdteQz64477tC5557b6rNGjx6tlJQUZWVlNXk9KytL6enprT4HAAAAAAC0HMtwAAAAnNIHH3ygq6++WiUlJUbyrrzySr322muKiIgwkoeTHT16VFlZWcrKylJ5ebkjM/j5+Wn48OGyLEsjR46kBQ5H5ObmnvL6sGHDdNNNNxk778orr2x2GZ6Xl2fsHAAAAAAA0DIswwEAANCs3/3ud7r//vuNPR/8gQce0EMPPWRgMvw7j8ejrVu3ep8F7lQLPDw8XC6XSykpKerVq5cjMwDHfdcy/L777lNQUJCx85KSkpq9dvToUWPnAAAAAACAlmEZDgAAgJNUVlbqxhtv1Jtvvmkkr0ePHnrllVe4RXAbKC0tVVZWltxut6Mt8GHDhsmyLI0aNYoWOHzGqdrYF110kc4//3yj553q0Q+lpaVGzwIAAAAAAN+NZTgAAABOUFBQoLS0NG3YsMFI3ogRI5SZmamEhAQjefhXC3zbtm2ybVvbt293tAV+/FngtMDha/bs2aOysrJmr998883GzwwODlZoaKiqqqpOuubUX1YBAAAAAKArYxkOAAAArw8//FDTpk1TcXGxkbyf/OQneu2111iUGlJWVia3262srKxTLvna2vDhw+VyuTRq1CgFBAQ4NgdwKjk5Oc1eGzJkiFJTU9vk3IiIiCaX4fy7AgAAAABA+2MZDgAAAEnS448/rnnz5qmhocFI3n333acFCxZwy+xWamxs9LbAt23b5lgLPCwszNsCj4yMdGQG4HSc6nnhkydPbsdJ/iU0NLTdzwQAAAAAoKtjGQ4AANDFVVVV6eabb9Ybb7xhJC8sLEzLli1zZNnUmZSVlXmfBe5kC/zbzwKn2YqOpLlmuL+/v9LT09vs3GPHjjX5elhYWJudCQAAAAAAmsYyHAAAoAvbuXOn0tPTlZ2dbSRv+PDhyszM1NixY43kdTWNjY3avn27bNvW1q1bHW2BJycny+VyqXfv3o7MALRWXl5ek68nJiYqOjq6Tc6srq5WaWlpk9f69+/fJmcCAAAAAIDmsQwHAADooj7++GNdddVVKioqMpJ32WWX6Y033uAW2megvLzc2wJvbpHWHoYOHSrLsjR69Gha4OjQDh482Oxn2znnnNNm5+7Zs6fZa4MHD26zcwEAAAAAQNNYhgMAAHRBixcv1ty5c409H/yee+7RwoULeT74aWhsbFR+fr63Be7xeByZIzQ01NsCj4qKcmQGwLTmbpEuSePGjXPk3KFDh7bZuQAAAAAAoGkswwEAALqQ6upq3XLLLXr11VeN5IWGhuqll17S1KlTjeR1BeXl5crOzpbb7dbRo0cdm2PIkCGyLEtjxoyhBY5Op7lbpEvS6NGj2+zcDRs2NHvN5XK12bkAAAAAAKBpLMMBAAC6iD179ig9PV22bRvJGzp0qDIzM5WUlGQkr7Pbvn273G63tmzZ4mgLfPz48bIsixY4OrXmGtr+/v7q169fm537j3/8o8nXg4OD+awEAAAAAMABLMMBAAC6gE8//VRTpkzRkSNHjOT9+Mc/1qpVq9S7d28jeZ1VRUWFsrOzZdu2oy3wuLg4bws8MJBfAdD55ebmNvl6VFSUgoKC2uTMgoIC7dy5s8lrLpdLwcHBbXIuAAAAAABoHt+EAQAAdHJPPfWU7rrrLtXX1xvJ++Uvf6lHH32UW2ufwvFngTvZAu/evbv3WeDR0dGOzAA4obi4WAcPHmzyWlhYWJudu2bNmmavXX755W12LgAAAAAAaB7LcAAAgE6qpqZGs2bN0rJly4zkde/eXS+88IKmT59uJK+zqays9LbAS0pKHJsjLi5OLpdLCQkJtMDRJTV3i3RJbdbOrqurU0ZGRpPXAgMDddlll7XJuQAAAAAA4NT4dgwAAKAT2rt3ryZOnKh//vOfRvLi4uKUkZGhlJQUI3mdyY4dO2TbtjZv3uxoC3z8+PFyuVzq06ePIzMAvqK5W6RLUlVVVZuc+be//U1FRUVNXrvgggt4pAQAAAAAAA5hGQ4AANDJfP7555oyZYoOHTpkJO9HP/qRVq1axa22v+V4C9ztdqu4uNixOQYPHizLsmiBA99yqmZ4eXm58fMaGxtPeQeOmTNnGj8TAAAAAAC0DN+YAQAAdCLPPPOM7rzzTtXV1RnJu/POO7Vo0SKeD/6/CgoKvC3whoYGR2bo1q2bxo8fL8uyaIEDTThVM7y0tFTFxcVGm9pvv/22srOzm7yWkJCgs88+29hZAAAAAADg9LAMBwAA6ARqamo0e/Zsvfjii0byunXrpueff17XXHONkbyOrKqqyvsscCdb4IMGDfK2wIOCghybA/Bl5eXl2rt37ynfs2HDBl144YVGzqusrNSiRYuavX7nnXcaOQcAAAAAAJwZluEAAAAd3P79+zVx4kR9/fXXRvIGDRqkjIwMWZZlJK+j2rlzp2zbVl5enqMt8KSkJFmWpZiYGEdmADqS3NxcNTY2nvI9H3/8sbFl+BNPPKEjR440ee3cc8/VD3/4QyPnAAAAAACAM8MyHAAAoAP78ssvNWnSJB08eNBI3g9/+EOtXr26y95+u6qqSuvXr5dt2yoqKnJsjoEDB8qyLCUmJtICB07DqW6Rftxf/vIX3X333QoPD2/VWe+9956WL1/e5LWgoCDNmzevVfkAAAAAAKD1WIYDAAB0UEuXLtUdd9yh2tpaI3m33XabFi9erMDArvd/EXft2iXbtpWbm+tYCzwkJMTbAu/bt68jMwAdXU5Ozne+p6qqSk888YQeeOCBMz7ns88+0z333NPs9TvuuEMjR44843wAAAAAAGBG1/umEwAAoIOrra3V7bffrueee85IXkhIiJ599lnNnDnTSF5HcezYMW8LvLCw0LE5BgwYIMuyNHbsWFrgQCu1pBkuSa+++qq+//3v68c//vFpn7F69Wr95je/UV1dXZPXU1NT9f/Zu/covcryfvjfyZkzSYhAADmzSYBIMvHwQ6i+2L7tslXDQVxUUCgUNSjVn1alghVFaxERRQ4VUFQMpEASxPpSq6LFs0yIgQQ2R5FAgJAAAclhJpn3j5kMQyYhmcwz8zzZ8/ms5XLve+997SsLeZzM97nv+/TTT+91XQAAAKD2hOEAAFuRxYsX5/jjj8+vfvWrmtTbY489MmvWrLzuda+rSb2twSOPPJK5c+dm4cKFaWtrq0sPI0eOzGGHHZbm5ubstttudekBqmbFihV5+OGHN3ht2223zYsvvth13t7eng9/+MP57Gc/m2OPPXaz6i9evDhf+MIX8qMf/Wij94wfPz4XX3xxhgwZ0rvmAQAAgH4hDAcA2Er85je/yXHHHZfHH3+8JvWOPPLI3HjjjYNiSe4VK1Zk/vz5aWlpyZIlS+rWx/jx4zN16tQccsghGTFiRN36gCq65557snbt2g1eO/XUU3PrrbfmwQcf7BprbW3N2WefndmzZ+cf/uEfcsQRR2TkyJEve2716tX53e9+lx/84Af5wQ9+sNHZ4Emy3Xbb5fLLL8+4ceNq8wcCAAAA+kwYDgCwFbj66qszffr0mu0P/oEPfCBf/epXK78s95/+9KfMnTs3CxYsqNss8BEjRmTSpEmZMmVKdt9997r0AIPBKy2Rfthhh+V1r3tdTj311B6B+e9+97v87ne/y6hRo7LnnntmzJgxaW9vz7Jly/LII49s1mfHtttum8suuywHH3xwn/8cAAAAQO0IwwEAGlhra2v+6Z/+KZdffnlN6o0YMSKXXnpppfezXblyZdcs8KeeeqpufYwfP75rL3CzwKH/LViwYKPXJk6cmF133TXTp0/P17/+9Q3es3LlyjzwwAO9fu+YMWPy9a9/Pc3Nzb1+FqDRX2sAACAASURBVAAAAOhfwnAAgAb15JNP5vjjj88vfvGLmtQbP358brrpprzhDW+oSb1G8+ijj6alpaXus8DX7QVuFjgMrI3NDB8zZkzXdhAf/OAHs2TJksycObMm75w8eXIuuuiijB8/vib1AAAAgNoShgMANKDf//73OfbYY7No0aKa1DviiCNy4403Vi6gbZRZ4Lvvvnuam5tz2GGHmQUOdbB69eqX7Qfe3cSJE7uOm5qact5552X33XfPJZdckjVr1mzR+3beeedMnz49J598coYMGbJFNQAAAID+JwwHAGgw11xzTd7//vdn1apVNal3xhln5JJLLqlUSLto0aKuWeCtra116WHEiBE59NBD09zcbFYo1NnDDz+c7bbbboPXJk+e/LLzpqamfOADH8iRRx6Ziy66KL/61a82+z177bVX3vnOd+bd7353tt9++z71DAAAAPQ/YTgAQINoa2vLRz7ykY3uZ9tbI0aMyNe+9rW8733vq0m9elu1alXXLPAnn3yybn3stttuXbPAR44cWbc+gJcURZHf/va3vXrmsMMOy7e+9a08+OCDufXWWzNv3rw88MADefbZZ7Nq1apss802GTt2bPbdd99MmjQpb3zjG/Oa17wmTU1N/fSnAAAAAGpNGA4A0ACWLFmSd77znfn5z39ek3q77bZbbrrpphxxxBE1qVdPjz32WFpaWnL33XfXbRb48OHDu2aB77HHHnXpAegf+++/f84888x6twEAAAD0A2E4AECdtbS05Jhjjsmjjz5ak3qvf/3rM2vWrK166e5Vq1blrrvuSktLS5544om69bHrrrtm6tSpZoEDAAAAwFZIGA4AUEff/e53c8YZZ2TlypU1qXfaaafl0ksv3WqD28cffzwtLS2566676joL/JBDDklzc3P23HPPuvQAAAAAAPSdMBwAoA7a2trysY99LF/96ldrUm/48OG5+OKLM3369JrUG0irVq3K3XffnZaWlixevLhufbzqVa/qmgU+atSouvUBAAAAANSGMBwAYIA9/fTTOeGEE3LbbbfVpN6uu+6aG264IUcddVRN6g2UxYsXd80CX716dV16GDZsWNcs8L322qsuPQAAAAAA/UMYDgAwgO68884cc8wxeeSRR2pS77WvfW1mzZq11SznvXr16tx9992544476joLfNy4cZk6dWomTZpkFjgAAAAAVJQwHABggMyYMSOnn356VqxYUZN6p5xySi6//PKtIsx94okn0tLSkvnz59d9FviUKVPy6le/ui49AAAAAAADRxgOANDP1qxZk49//OO56KKLalJv2LBhueiii/KhD32oJvX6y+rVq7NgwYLccccdefzxx+vWx7hx49Lc3JxJkyZlm222qVsfAAAAAMDAEoYDAPSjZcuW5V3veld+/OMf16TeuHHjcsMNN+RNb3pTTer1h3WzwO+6666sWrWqLj0MGzYsEydOTHNzs1ngAAAAADBICcMBAPrJ/PnzM23atDz88MM1qTdlypTMnj27IcPd1tbW3H333Wlpacljjz1Wtz522WWXNDc35zWveY1Z4AAAAAAwyAnDAQD6wX/+53/m1FNPzYsvvliTeieffHK+8Y1vNNz+4E8++WTXXuD1mgU+dOjQrlnge++9d116AAAAAAAajzAcAKCG1q5dm7PPPjsXXHBBTeoNGzYsX/rSl/LhD3+4JvVqobW1NQsWLEhLS0sWLVpUtz7Gjh3bNQt82223rVsfAAAAAEBjEoYDANTIM888kxNPPDH//d//XZN6u+yyS2bOnJmjjz66JvX66qmnnuqaBb5y5cq69DB06NBMmDAhzc3N2WefferSAwAAAACwdRCGAwDUwN13351p06blwQcfrEm9ww8/PHPmzKn7st9tbW1ds8AfffTRuvUxduzYTJkyJYcffrhZ4AAAAADAZhGGAwD00U033ZRTTjklL7zwQk3qnXjiibnqqqvqGvouWbIkLS0t+cMf/lDXWeAHH3xwmpubs++++9alBwAAAABg6yUMBwDYQmvXrs25556bL3zhCzWpN3To0Hzxi1/Mxz72sZrU6622trYsXLgwLS0t+dOf/lSXHpJkzJgxXXuBb7fddnXrAwAAAADYugnDAQC2wLPPPpt3v/vd+eEPf1iTemPGjMn111+fv/qrv6pJvd54+umnu2aBr1ixYsDfnyRDhgzJhAkTMmXKlOy333516QEAAAAAqBZhOABALy1cuDDTpk3L/fffX5N6kyZNyuzZswc0BG6UWeCjR49Oc3NzDj/8cLPAAQAAAICaEoYDAPTC7Nmz8973vjfPP/98Teq9853vzLe+9a0BC4KffvrpzJ07N/PmzavrLPB1e4GbBQ4AAAAA9BdhOADAZvr0pz+d888/P+3t7X2uNWTIkHz+85/PJz/5yRp09srWrFnTNQv8kUce6ff3bczOO+/cNQt8++23r1sfAAAAAMDgIAwHANiE5cuX56STTsott9xSk3qjR4/OjBkz8jd/8zc1qbcxS5cu7doL/MUXX+zXd23MkCFDUhRFmpubs//++9elBwAAAABgcBKGAwC8gnvvvTfTpk1LWZY1qXfooYdmzpw5/RYMr1mzJvfcc09aWlryxz/+sV/esTl23nnnTJkyJZMnTzYLHAAAAACoC2E4AMBG3HLLLTnppJOyfPnymtQ77rjjcs011/RLOLxs2bK0tLRk3rx5dZ0FftBBB3XNAm9qaqpLHwAAAAAAiTAcAGCDzjvvvJx33nk12x/8s5/9bD71qU/VoLOXrFmzJvfee29aWlry8MMP17R2b+y0005ds8B32GGHuvUBAAAAANCdMBwAoJvnn38+J598cm6++eaa1Ntpp50yY8aMvPWtb61JvaRjFvjcuXMzb968/PnPf65Z3d5oamrqmgV+wAEHmAUOAAAAADQcYTgAQKf77rsv06ZNyz333FOTehMmTMicOXNy0EEH9bnWmjVrUpZlWlpa8tBDD9Wguy2z0047ZfLkyZk8eXJ23HHHuvUBAAAAALApwnAAgCT/9V//lXe/+9157rnnalJv2rRp+c53vtPnZcOfeeaZzJ07N3feeWddZ4EfeOCBaW5uzoEHHmgWOAAAAACwVRCGAwCD3vnnn59//dd/zdq1a/tcq6mpKZ/5zGfy6U9/eotrrF27tmsW+IMPPtjnnrbUjjvu2LUXuFngAAAAAMDWRhgOAAxaL7zwQt773vdm1qxZNam344475tprr83b3va2LXr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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["a = np.array([1, 2])\n", "b = np.array([2, 1])\n", "c = a + b\n", "plt.annotate('', xy=b, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=c, xytext=b, arrowprops=gray)\n", "plt.annotate('', xy=c, xytext=(0, 0), arrowprops=black)\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.plot(b[0], b[1], 'ro', ms=10)\n", "plt.plot(c[0], c[1], 'ro', ms=10)\n", "plt.text(2.45, 1.55, \"$a$\")\n", "plt.text(1.25, 0.25, \"$b$\")\n", "plt.text(1.25, 1.45, \"$c$\")\n", "plt.xticks(np.arange(-2, 5))\n", "plt.yticks(np.arange(-1, 4))\n", "plt.xlim(-1.4, 4.4)\n", "plt.ylim(-0.6, 3.8)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 9, "metadata": {"school_cell_uuid": "08af08294e8a46b38b382ce87f34d5ba"}, "outputs": [{"data": {"image/png": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["x1 = np.array([1, 2])\n", "x2 = np.array([2, 1])\n", "x3 = 0.5 * x1 + x2\n", "plt.annotate('', xy=0.5*x1, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=x2, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=x3, xytext=(0, 0), arrowprops=black)\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.plot(x1[0], x1[1], 'ro', ms=10)\n", "plt.plot(x2[0], x2[1], 'ro', ms=10)\n", "plt.plot(x3[0], x3[1], 'ro', ms=10)\n", "plt.plot([x1[0], 0], [x1[1], 0], 'k--')\n", "plt.text(0.6, 2.0, \"$x_1$\")\n", "plt.text(-0.5, 0.5, \"$0.5x_1$\")\n", "plt.text(1.15, 0.25, \"$x_2$\")\n", "plt.text(2.5, 1.6, \"$0.5x_1 + x_2$\")\n", "plt.xticks(np.arange(-2, 5))\n", "plt.yticks(np.arange(-1, 4))\n", "plt.xlim(-1.4, 4.4)\n", "plt.ylim(-0.6, 3.8)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 10, "metadata": {"school_cell_uuid": "cee6c3bd084349b98e116ea0d95850ee"}, "outputs": [{"data": {"image/png": 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cAAAAKqxXr1454YQTsv/++3f5tasRw5Pk7LPPzrhx4zp8/nbbbZcjjzyyU36I4PXXX8/Xv/71jB07NrfeemvF9wcAAKB7EsMBAACgkxx88ME5/PDDu+x6vXv3zuDBg7vseuuqq6vLtGnTUldXt8XnDho0KPfff39uuummzJ8/Pz/96U+z4447VnzGBQsW5NBDD83xxx+fRYsWVXx/AAAAuhcxHAAAADrRhAkTMnDgwC65VrXuCn/L+PHjc9ZZZ23xeRdddFFGjx699vWJJ56Y+fPn56yzzupQXH8n1113XUaPHp3vfe97aW5urvj+AAAAdA9iOAAAAHSi1tbWtLS0dMm1qh3Dk+SCCy7Yojk+/OEP57TTTttgfcCAAfnBD36Q2bNn50Mf+lAlR0ySNDY25stf/nLGjRuXe++9t+L7AwAAUH1iOAAAAHSiWbNmpbGxsUuuNWLEiC65zub069cvl112WbuOrauryxVXXLHZY/bee+/MnDkzU6dOzaBBgyox4noeffTR7L///jnllFPy8ssvV3x/AAAAqkcMBwAAgE6ycOHC3HLLLV1yrdra2gwfPrxLrvVOjjrqqBx99NHveNyXvvSl7LXXXu3a84wzzki5XM4pp5ySmpqarR1xPW1tbfnRj36UUqmUqVOnprW1taL7AwAAUB1iOAAAAHSCpUuX5rrrrktbW1uXXG/HHXdMQ0NDl1yrPS699NL0799/k+/vtNNOueCCC7Zoz8GDB+eHP/xh/ud//idjx47d2hE3sHTp0px55pn5yEc+koceeqji+wMAANC1xHAAAACosNWrV+fnP/95Xn/99S67Znf4vPB1DRs2LP/6r/+6yfcvueSSzcbyzZk0aVIeeuihXHLJJdluu+06OuIm3X///Zk4cWLOOuusLFu2rOL7AwAA0DXEcAAAAKigtra2/PKXv+zyz5/ubjE8Sb74xS9m4sSJG6wffPDB+fSnP71Ve9fX1+ecc87JvHnzctxxx23VXhvT0tKSyy67LKVSKT/96U8rvj8AAACdTwwHAACACrr99tuzYMGCLr9ud4zhtbW1mTZtWurr69eu9erVK1OmTKnYNYYPH57p06fnlltuyfvf//6K7fuWxZ8Ydl8AACAASURBVIsX5+STT85BBx2UefPmVXx/AAAAOo8YDgAAABXyhz/8Iffee2+XX3fAgAEdfuR4Z9tzzz3zd3/3d2tff/nLX86oUaMqfp2PfvSjefTRR3P++edn2223rfj+d911V/bcc8/84z/+Y1auXFnx/QEAAKg8MRwAAAAqYNGiRbnppps6fH59fX0mTpyYfffdN717996ic7vjXeHr+sY3vpGRI0dm5MiROe+88zrtOttss03OO++8zJ07N0cccUTF929qaspFF12U0aNH51e/+lXF9wcAAKCyxHAAAADYSo2NjfnFL36R5ubmDp1fX1+fz372sznssMNy6KGH5swzz8ywYcPafX53j+F9+vTJ5Zdfnn/7t3/b4tDfEbvuumt+85vf5IYbbsguu+xS8f2fffbZfPKTn8yRRx6Zp59+uuL7AwAAUBliOAAAAGyF5ubm/OIXv0hjY2OH9zjqqKMyYsSIta/79++fz33uc/nABz7QrvO7ewxPksMOOyxHHXVUl17zk5/8ZObNm5evfvWraWhoqPj+v/3tbzNmzJhccMEFWbNmTcX3BwAAYOuI4QAAALAVbrzxxixatKjD50+aNCljx47dYL2hoSHHHHNMDj744M2e39DQkB122KHD1y+6Pn365Nvf/nbmzJmTAw88sOL7r1q1Kl/72tcyduzY3HrrrRXfHwAAgI4TwwEAAKCD7r333jz66KMdPn/33XfPIYccstlj9t9//5xwwgnp1avXRt8fMWJEamv98/6djB49OnfeeWd+8pOfdMoPDzzxxBM59NBD86lPfSrPP/98xfcHAABgy/nXMgAAAHTAE088kdtvv73D5w8ZMiRHH310ampq3vHYUqmUU089Ndtvv/0G7/WER6R3JyeddFLK5XK+9KUvdcoPEUyfPj2jRo3K5MmTO/wZ8gAAAFSGGA4AAABb6KWXXsoNN9yQtra2Dp3fu3fvnHDCCdlmm23afc7QoUNz2mmnZeTIkeutr/tZ47TPgAEDctlll2X27NmZOHFixfdvbGzMOeeck/Hjx+f3v/99xfcHAACgfcRwAAAA2AKrVq3Ktddem9WrV3fo/Nra2hx77LEZNGjQFp/bp0+fnHzyyZkwYcLaNXeGd9y4ceNy33335corr9zoXfdb6w9/+EP222+//O3f/m1efvnliu8PAADA5onhAAAA0E6tra25/vrrs3Tp0g7v8bGPfSy77rprh8+vra3N4YcfniOPPDI77rhjtt122w7vxRv/Pz//+c+nXC7nc5/7XLseW78l2tractVVV6VUKmXatGkV3RsAAIDNE8MBAACgnW6++eYsXLiww+ePGzeuYo/lHj9+fE466aSK7MUbn+F+1VVX5Z577snYsWMrvv/SpUvz+c9/Ph/+8Ifz8MMPV3x/AAAANiSGAwAAQDs89NBDmTVrVofP32WXXXL44YdXcKKkb9++Fd2PZL/99stDDz2U7373u+nXr1/F97///vszYcKEnH322Vm2bFnF9wcAAODPxHAAAAB4B88++2xmzJjR4fMHDBiQ448/PnV1dRWcis5SX1+fL3/5y5k/f36OO+64iu/f0tKSSy+9NKNGjcrPfvaziu8PAADAG8RwAAAA2Ixly5Zl+vTpaWlp6dD5DQ0NOeGEE9zF3QMNHz4806dPz80335z3v//9Fd//hRdeyEknnZSDDz448+fPr/j+AO8Gd999d0ql0kb/u+qqq6o9HgBQZWI4AAAAbMKaNWvy85//PCtWrOjwHp/85Cez4447VnAqutqhhx6aRx99NN/4xjey7bbbVnz/O++8Mx/84Adz7rnnZuXKlRXfH6DIHn/88U2+t8cee3ThJABAdySGAwAAwCb8+te/zuLFizt8/gEHHJDRo0dXcCKqZZtttsnXvva1zJ07N4cddljF929qasq3v/3t7LHHHvn1r39d8f0BimpTMbympkYMBwDEcAAAANiYu+++e7N3m72T0aNH58ADD6zcQHQLu+66a2bMmJFf/vKX2XnnnSu+/zPPPJNPfOIT+fjHP56nn3664vsDFM3cuXM3ur7LLrtku+226+JpAIDuRgwHAACAt5k3b17uuuuuDp+/ww475BOf+ETlBqLbOfroozNv3rz8wz/8QxoaGiq+/29+85uMGTMmF154YdasWVPx/QGKYNmyZVm0aNFG33NXOACQiOEAAACwnhdeeCH/+Z//2eHz+/btm09/+tPp1atXBaeiO+rbt28uuuiiPPLIIznggAMqvv+qVaty3nnnZezYsbntttsqvj9AT+fzwgGAdyKGAwAAwJtWrFiRa6+9Nk1NTR06v7a2Nscff3wGDBhQ4cnozvbYY4/cdddd+fGPf5wddtih4vs/8cQT+ehHP5oTTjghzz//fMX3B+ipNvWI9CQZM2ZMF04CAHRXYjgAAAAkaWlpyfTp07Ns2bIO73HEEUdkl112qeBU9CQnn3xy5s+fny9+8Yupra38t1x+8YtfZNSoUZk8eXJaWloqvj9AT+POcADgnYjhAAAAkGTGjBl59tlnO3z+xIkTM27cuApORE80cODATJkyJbNmzcqECRMqvn9jY2POOeecjB8/Pr///e8rvj9AT7KpO8OHDx+e7bffvounAQC6IzEcAACAd71Zs2bloYce6vD5u+66az72sY9VcCJ6uvHjx2fmzJm54oorOiXIzJkzJ/vtt19OPfXULFmypOL7A3R3K1as2OQPsbkrHAB4ixgOAADAu9rChQtz8803d/j8QYMG5dhjj+2Ux2LTs9XW1ubMM89MuVzOZz/72Yrv39bWlh/+8IcplUr593//94rvD9CdzZs3L62trRt9TwwHAN7iX+oAAAC8ay1dujTXX3/9Jr+Z/k622WabnHDCCendu3eFJ6NIhgwZkh/96Ee555578oEPfKDi+y9ZsiRnnHFG9t133zzyyCMV3x+gO9rc54WPGTOmCycBALozMRwAAIB3pdWrV+faa6/NqlWrOnR+TU1Njj766AwZMqTCk1FU+++/fx5++OFcfPHF6devX8X3nzlzZvbZZ5+cffbZWb58ecX3B+hOxHAAoD3EcAAAAN512tracsMNN+Sll17q8B6HHHJIdt999wpOxbtBfX19/v7v/z7z5s3LscceW/H9W1pacumll2bUqFG55pprKr4/QHcxd+7cja4PHTo0gwcP7uJpAIDuSgwHAADgXef222/PE0880eHzx44dm0mTJlVwIt5tRowYkeuuuy7//d//nd12263i+//pT3/KiSeemEMOOSTz58+v+P4A1bR69er/z959RldVbu/fv9I7JfQmoUgSAoHQiyAIAlKFAAl2sCsKdkWOilgQrCgiiqKIkEAIvUMoUkOHEBIpCdI7ARLS87zwOb//OccEYeXeqd/PGI5x3Pee15wMx9Fkz73W0tGjR3M946pwAADwnxwLewAAAAAAAArS/v37tWnTJsv11atXV9++fQ1OhNKse/fuiomJ0bhx4zRu3DilpqYazY+KilKTJk30yiuvaPTo0XJ3dzeaDxS048ePKyYmRgkJCUpMTFRiYqKuXLmi69evKzk5WVlZWfL09JSXl5fKlCmjBg0aKCAgQIGBgQoMDCzs8WFIfHy8MjMzcz272TI8PT1d27Zt08aNGxUXF6fExERdvXpVaWlpcnV1VdWqVVW/fn21bNlS3bp1U5UqVWz1RwAAAAWEZTgAAAAAoNQ4deqUFi5caLne09NToaGhcnTk12mY4+LionfffVcPPfSQhg8fruXLlxvNT09P18cff6yZM2dq4sSJfJkDxcr58+cVFRWl6Oho7dixQ2fOnPnHmsuXL+vy5cuSpJiYGEVGRkqSfHx8FBwcrJCQEJUtW9amc8O28rpFuiQ1bNjwb6+dPHlSv/76qyIiInTt2rVc65KTk3XkyBEdOXJEK1as0EcffaQePXpoxIgR8vHxMTU6AAAoYNwmHQAAAABQKly7dk1hYWF5Xkn2TxwdHRUaGiovLy/DkwF/qVevnpYtW6aIiAjVrFnTeP6xY8fUr18/9e3bV4mJicbzAVOSkpI0Y8YMPfTQQ+rYsaPeeecdLV68+JYW4TeTmJiozz77TL169dKKFSsMTYvCEBsbm+fZf14Zfv36dU2YMEHdu3fXtGnT8lyE5yY7O1tLly5V3759NWPGjHzNCwAACg/LcAAAAABAiZeZmanw8PDb+hD8f/Xp00c1atQwOBWQu+DgYMXFxem1116zyV0IFi1apIYNG+rDDz9Uenq68Xwgv+bNm6exY8dq+/btys7ONp5//vx5vfjiixo3bpzxbBSMvJbhFSpUUNWqVSX99ViUfv36aerUqcrIyLDcKy0tTWPHjtWHH35oOQMAABQeluEAAAAAgBJv0aJFOnnypOX6du3a8axZFCgPDw+NHz9ee/bsUceOHY3n37hxQ6NHj1ZgYKDWrFljPB/Ij7i4uALpM23aNE2cOLFAesGczMxM/fHHH7me/fsW6UuWLNGQIUN04sQJY32nT5+uKVOmGMsDAAAFg2U4AAAAAKBE27x5s/bt22e5/s4771TXrl0NTgTcuoCAAK1fv16//PKLKleubDw/Pj5eXbt21ZAhQ3T69Gnj+YAVN7sF9r/Z29urcuXKqlevnpo2bap27dopKChId955p1xdXW+516RJk7R79+78jIsCdvjw4TzvahEQEKD58+fr1VdfzfNqcCcnJzVo0ECtWrVSUFCQ7rjjDjk4ONxS76+//lr79++3PDsAACh45u+1BQAAAABAEXHo0CGtXr3acn3FihUVHBwsOzs7g1MBt++RRx5R3759NWrUKE2ZMsX4raPDwsK0dOlSvf/++xo+fPgtL4YA09LT03X06NG/vV69enV17NhRjRo1kq+vrxo0aJDn0js7O1vHjh3TunXrtHDhwn9crn/88ccKDw/n3/XFxIEDB/I8S05O1ujRo//270gXFxfdf//96tWrl5o1ayYnJ6f/Or98+bLWrl2rKVOmKDExMc/8jIwMvfbaa1q8eLFNHmMBAADM48pwAAAAAECJdOHCBc2dO1c5OTmW6l1dXTVkyBC5uLgYngywply5cvr222+1bds2tWjRwnj+1atXNXLkSLVo0UJbtmwxng/cikOHDv3fFb316tXTyy+/rAULFmjt2rUaM2aMBg0apMDAwJte/W1vb686depo6NChioyM1BdffKFy5crl+f69e/dytW8xcrMvN8ycOfNvV4T369dPUVFRev/999W6deu/LcIlqXz58howYIAWLVqkoUOH3rR/QkKCVq1aZW14AABQ4FiGAwAAAABKnBs3bmjWrFlKS0uzVG9nZ6dBgwbJ29vb8GRA/rVo0ULbtm3TpEmTbrrgs2rPnj1q3769nnjiCV28eNF4PnAzR48eVe/evfXrr79q6dKlevrpp+Xn52c5z87OTj179lR4eLgqVqyY5/s2bNhguQcK1s2uDM/Kyvq//+3u7q6vvvpK48ePv+k/+//k7OysN998U88888xN3zd9+vRbGxYAABQ6luEAAAAAgBIlOztbERERunTpkuWM7t27q27duganAsyyt7fXc889p/j4eD3yyCPG83NycvTjjz/K19dXU6dONZ4P5KVPnz767LPP1KpVK6O5Pj4++uCDD/I837p1q9F+sI3s7GzFx8f/4/s8PDw0bdo09ejRw1KfESNGqFmzZnme79q1S8eOHbOUDQAAChbLcAAAAABAibJy5cpcnzd7q4KCgtS6dWuDEwG2U7lyZf3yyy9av369AgICjOdfvHhRTz75pNq1a6e9e/cazwcKUufOneXj45Pr2ZkzZwp2GFiSkJCglJSUm77HwcFB33zzjZo2bWq5j729vd59992bvmfXrl2W8wEAQMFhGQ4AAAAAKDF2796tbdu2Wa6vVauWevXqZXAioGB07NhRe/bs0fjx4+Xh4WE8f8uWLWrevLlGjhypq1evGs8HCkrz5s1zfT0/dxNBwbnZLdL/7cUXX1S7du3y3cvPz09BQUF5nu/evTvfPQAAgO2xDAcAAAAAlAh//vmnlixZYrm+bNmyCgkJkYODg8GpgILj6Oio1157TXFxcRowYIDx/KysLH311Vfy8/PTrFmzjOcDBaFSpUq5vp6cnKycnJwCnga3KzY29qbndevW1eOPP26sX+/evfM8O3jwoLE+AADAdliGAwAAAACKvaSkJM2ePVtZWVmW6p2cnBQaGmqTK2qBglazZk3NnTtXy5YtU7169Yznnz59Wg888IC6du16S8/uBYqS9PT0XF93cXGRnZ1dAU+D2/VPy/BRo0bJycnJWL/AwMA8z65cuWKsDwAAsB2W4QAAAACAYi0jI0NhYWFKTk62nHH//feratWqBqcCCl+PHj0UExOjd999Vy4uLsbz16xZo8DAQL399tu6ceOG8XzAFhISEnJ93dvbu4AngRU3uxq7c+fO6tChg9F+fn5+eZ4lJSUZ7QUAAGzDsbAHAAAAAAAgP+bPn68zZ85Yrr/77rvVsGFDgxMBRYerq6vee+89PfTQQxo+fLhWrFhhND89PV0fffSRZs6cqa+//vqmtxQGioJ9+/bl+nq1atUKbIZLly6pbdu2BdbPpBo1aigqKqpQeh8/flxXr17N8/yJJ54w3tPZ2Vnu7u5KSUn529m1a9eM9wMAAOaxDAcAAAAAFFsbNmz4x1um3oy/v786depkbiCgiKpfv76WL1+uiIgIvfTSSzpx4oTR/MTERPXp00d9+/bVxIkTVbt2baP5QGJiovbs2aPDhw8rISFBZ8+e1aVLl3T16lWlp6crPT09X8/8tsUjBWDWgQMH8jzz8fFRixYtbNK3TJkyuS7DHRwcbNIPAACYxTIcAAAAAFAsHTx4UGvXrrVcX6VKFd1///0GJwKKvoEDB6pHjx5677339NVXXykzM9No/sKFC7V69Wq9/fbbevXVV+Xs7Gw0H6VHTk6ONm/erOXLl2vt2rU6f/68TfuxDC/6bvblt4EDBxbgJH9xd3cv8J4AAOD28cxwAAAAAECxc/bsWc2bN89yvbu7u0JDQ1nUoVTy9PTUp59+qt27dxt/vq4kpaSk6O2331aTJk0K7XbKKL4yMjI0a9YsdevWTcOGDdPs2bNtvgiXpLp169q8B/InryvD7e3t1b9/f5v1vXHjRq6ve3h42KwnAAAwh2U4AAAAAKBYSUlJUVhYmDIyMizV29vba/DgwSpXrpzhyYDipVGjRtqwYYN+/vlnVapUyXh+XFycunTpogceeEBnzpwxno+SZ8uWLerZs6fee+89/fnnnwXa29/fv0D74fYdPHgw19cDAgJUsWJFm/RMTU1VUlJSrmfVq1e3SU8AAGAWy3AAAAAAQLGRlZWl2bNn68qVK5YzevbsyfOMgf/w6KOPKj4+Xs8884zs7c1/VDRr1iz5+vpq4sSJysrKMp6P4i8rK0sff/yxHnvssQJfgktSpUqVVLly5QLvi1t35swZXbx4Mdeztm3b2qzv8ePH8zy74447bNYXAACYwzPDAQAAAADFxrJly3Ts2DHL9S1btlTz5s0NTgSUDOXLl9fkyZM1bNgwPfvss9q5c6fR/KtXr2rEiBGaNm2aJk+erDZt2hjNR/GVnp6u559/Xhs2bLjtWg8PD1WqVEkeHh7y8PCQg4ODHBwccn1vTk6ONm3alOtZQEDAbffOjzJlyui3334r0J6muLi4FErfvG6RLkmNGzculL516tSxWV8AAGAOy3AAAAAAQLGwffv2fC3o6tSpox49ehicCCh5WrZsqejoaH333Xd6++2383UXhtzs2bNH7dq10+OPP65PPvlE3t7eRvNRvGRnZ2vEiBG3tAivUaOG2rdvr6ZNm8rPz0+1a9eWp6fnLfc6cuSIevbsmetZw4YNbznHBEdHR7Vo0aJAexZ3ed0iXZL8/Pxs1nffvn15njVr1sxmfQEAgDncJh0AAAAAUOQlJCRo+fLlluvLly+vQYMG2eQW0EBJY29vr+eee07x8fF6+OGHjefn5ORo6tSp8vX11Y8//mg8H8XH5MmTFRUVlee5vb29evXqpfDwcEVFRWns2LEKDg5WQEDAbS3Cpb++iJGXgr4yHLcvryu07e3tVa1aNZv1zetuAs7OzgoMDLRZXwAAYA6fAgAAAAAAirTLly9rzpw5ys7OtlTv7OysIUOGyM3NzfBkQMlWuXJlTZ8+XevWrbPJlbMXLlzQE088ofbt22vv3r3G81G0JSQkaPLkyXmeV6tWTT///LM+//xzNW3aNN/98lpqSgV/ZThuX2xsbK6vV6hQQU5OTjbpmZCQoMTExFzPmjVrJmdnZ5v0BQAAZrEMBwAAAAAUWWlpaZo1a5Zu3Lhhqd7Ozk7BwcGqVKmS4cmA0uPuu+/Wnj179Mknn8jDw8N4/ubNm9W8eXONHDlS165dM56Poumbb75RRkZGrmc1atRQZGSkWrdubaRXTk6ONm/enOtZ+fLlVb16dSN9YBuXLl3SmTNncj2zxb+T/i0iIiLPMx67AgBA8cEyHAAAAABQJOXk5CgyMlLnz5+3nHHPPfeoQYMGBqcCSicnJye9/vrrOnjwoPr37288PysrS1999ZX8/PwUFhZmPB9Fy8WLF7VixYpczxwdHfXtt98afZ78jh07dPny5VzPuEV60ZfXLdIl2ezq7IyMDM2bNy/XM0dHR3Xv3t0mfQEAgHkswwEAAAAARVJUVJT++OMPy/WNGjXSXXfdZXAiALVq1VJkZKSWLFmiunXrGs8/deqUhgwZonvvvTdf//9H0bZu3bo8rwrv0qWL/Pz8jPb79ddf8zzjFulFX163SJeklJQUm/RcvXq1Ll68mOtZx44djX5ZAwAA2BbLcAAAAABAkRMTE6ONGzdarq9evbr69u1rcCIA/6lnz546cOCA3nnnHbm4uBjPX716tRo3bqzRo0dbfkwCiq4dO3bkeXb//fcb7XXq1CmtXr06z3OW4UXfza4Mt8WjFXJycvTzzz/nef7YY48Z7wkAAGyHZTgAAAAAoEg5deqUFixYYLne09NTISEhcnJyMjgVgP/l6uqqMWPGKCYmxia3DE5PT9eHH36ogIAALV682Hg+Cs+RI0fyPPPx8THa67PPPlNWVlae59wmvei72ZXhSUlJunTpktF+CxYs0J49e3I9a9iwobFn2QMAgILBMhwAAAAAUGRcv35d4eHhyszMtFTv4OCgkJAQlSlTxvBkAPJSv359LV++XLNnz1aNGjWM5yckJKhPnz7q16+fjh07ZjwfBe/ChQt5nlWuXNlYn/Xr19/0ixReXl6qVauWsX4w79q1azpx4sRN37Nv3z5j/ZKTk/Xpp5/meT5y5EhjvQAAQMFgGQ4AAAAAKBIyMzMVHh6uq1evWs7o06ePatasaXAqALdq0KBBiouL0yuvvCJHR0fj+QsXLlTDhg318ccf5/m8aRQPaWlpeZ4lJycb6XHhwgW99957N32Pv7+/7OzsjPSDbcTGxionJ+em74mKijLW78svv9T58+dzPWvXrp3uvvtuY70AAEDBYBkOAAAAACgSFi9e/I9Xf91M27Zt1aRJE4MTAbhdnp6e+vTTT7V7927dddddxvNTUlI0atQoNWnSRGvXrjWej4Lh5eWV51l8fHy+869fv64nn3xSp06duun7uEV60XezW6T/26JFi3T9+vV891q6dKmmT5+e65mTk5PeeuutfPcAAAAFj2U4AAAAAKDQbdmyRXv37rVcX79+fd17770GJwKQH40aNdLvv/+uadOmqVKlSsbzDx48qHvuuUcPPvigzpw5YzwftlWxYsU8z5YtW5av7KSkJD377LO3tERlGV70HThw4B/fk5KSoi+//DJffTZs2KA33ngjz/MXX3xRDRo0yFcPAABQOFiGAwAAAAAK1eHDh7Vq1SrL9RUrVlRwcDC3ugWKoMcee0zx8fF6+umnZW9v/mOomTNnys/PTxMnTlRWVpbxfNhGw4YN8zxbsGCB5WdAx8XFKTg4WNHR0fmeA0XDrXypQZJmzJih1atXW+oxZ84cPffcc0pPT8/1vEWLFnriiScsZQMAgMLHMhwAAAAAUGguXLigiIiIf3weaF5cXV0VGhoqV1dXw5MBMKV8+fL67rvvtGXLFjVr1sx4flJSkkaMGKGWLVtq27ZtxvNh3s2eu5yVlaVnnnnmthbily9f1oQJEzR48GAdP378v86cnJxyrXF3d1edOnVuuQcK3o0bN5SQkJDrmbu7+3/9fU5OjkaOHKnIyMhbzj99+rReeOEFjR49WhkZGbm+p3r16vryyy9t8mUeAABQMPivOAAAAACgUKSmpiosLExpaWmW6u3s7DRw4EBVqFDB8GQAbKFVq1bavn27vv76a5UtW9Z4/u7du9W2bVs99dRTunTpkvF8mNOqVSvVqlUrz/OLFy9qyJAhGjNmjOLi4nL9wlRqaqrWr1+v999/X127dtXUqVP/9t+TYcOG/W1p+m9+fn4sOIu4gwcPKjs7O9ezoUOHql69ev/1WkZGht566y09/PDDWrt2ba4/X6Snp2vjxo168803de+992rlypV59vfw8NDkyZNt8qgHAABQcBwLewAAAAAAQOmTnZ2tiIgIXbx40XJGt27d/vZBOICizd7eXsOHD9egQYP06quvasaMGUbzc3Jy9MMPP2jevHn65JNPNGzYMKP5MMPJyUkjRozQq6++mud7MjMzNXPmTM2cOVNly5ZVrVq15OXlpevXr+vixYs6f/58nlfzStLgwYMVGhqqn376Kddznhde9N3sFumNGzdWq1atNHTo0L8tzKOjoxUdHS1XV1fVrFlT3t7eysnJ0aVLl3Ts2DFlZmb+Y293d3d9++238vPzy/efAwAAFC6+/ggAAAAAKHCrVq3SkSNHLNc3bdpUbdq0MTgRgIJUpUoV/frrr1q7dq1Nntt84cIFPf74V8UbVwAAIABJREFU47rrrrssP38attW7d29169btlt6blJSkmJgYbdmyRfv379epU6duugh/5plnNHbsWB04cCDP9/C88KLvn/75tWnTRs8991ye70lNTdXhw4cVHR2t7du368iRI7e0CPf29tbUqVP5OQMAgBKCZTgAAAAAoEDt3r1bW7dutVxfq1Yt9e7d2+BEAApLp06dtGfPHo0bN04eHh7G8zdt2qTmzZvr5Zdf1rVr14znwzo7OzuNHz9eTZo0MZZZrlw5TZw4US+99JIkKSYmJs/3sgwv+vK6Mtzb21tVqlSRJA0fPlwhISHGegYFBWnu3Llq3ry5sUwAAFC4WIYDAAAAAArM8ePHtWTJEsv1ZcqU0eDBg+Xg4GBwKgCFycnJSW+88YZiY2PVv39/4/mZmZn64osv5Ofnp/DwcOP5sM7NzU2//PKL+vbtm68ce3t79e/fXwsXLlT37t3/7/W8luEuLi6qX79+vnrCttLT0/O8g8x/fpHBzs5OY8aM0ciRI/P1s0G5cuU0atQozZw5U9WrV7ecAwAAih6W4QAAAACAApGUlKTw8HBlZWVZqndyclJoaKg8PT0NTwagKLjjjjsUGRmpJUuWqG7dusbzT506pdDQUHXr1k2HDh0yng9r3NzcNGHCBH311Vdq0KDBbdV6eHgoNDRUCxcu1Lhx4/7vauF/O3HihLy8vP72V9OmTeXo6GjyjwHDEhIS5OHhoXLlyv3tr6CgoP96r52dnZ599lmFh4erXbt2t9WnVq1aevnll7VmzRo9+uijsrfn43IAAEoau5ycnMKeoVTauXNnDUkn/vf1xo0by9nZuRAmAgCUZBkZGX97VmJgYKCcnJwKaSIAQGmTkZGhadOm6fTp05YzBg4cqICAAINTlS78PIDiJDU1VR999JHGjx+vtLQ04/kuLi567bXXNGrUKLm5uRnPhzU5OTnaunWrNm3apB07dujs2bO6dOmSsrKy5O7urvLly8vHx0e+vr5q06aNmjdvLhcXl8IeG0XMkSNHtHz5cu3Zs0eHDx/WlStXlJaWJjc3N1WoUEF16tRRYGCg2rdvryZNmsjOzq6wRy5w/EwAACgo6enp2r9/f25HNZs3b36yIGZgGV5IWIYDAAoSv+gCAApbRESEDhw4YLm+Y8eO6ty5s8GJSh9+HkBxdOjQIT3//PNatWqVTfLr1Kmjr7/+Wr169bJJPgAURfxMAAAoKEVhGc59XwAAAAAANrVhw4Z8LcL9/PxYhAOl1J133qmVK1cqPDzcJs/xTUhIUO/evdW/f3/9+eefxvMBAAAAFC6W4QAAAAAAm4mLi9PatWst11euXFn9+/c3OBGA4mjw4MGKi4vTSy+9ZJNnPc+fP1/+/v4aN26cMjIyjOcDAAAAKBwswwEAAAAANnHu3DnNmzfPcr27u7uGDBnCo6QASJK8vLz0+eefa+fOnWrfvr3x/JSUFL311ltq0qSJ1q1bZzwfAAAAQMFjGQ4AAAAAMC4lJUWzZs1Senq6pXp7e3sNGjRI5cqVMzwZgOIuMDBQGzdu1E8//aSKFSsazz948KA6d+6shx56SGfPnjWeDwAAAKDgsAwHAAAAABiVlZWl2bNn68qVK5YzevbsKR8fH3NDAShxhg4dqvj4eD311FOys7Mznv/bb7/J19dX33zzjbKzs43nAwAAALA9luEAAAAAAKOWL1+uY8eOWa5v0aKFmjdvbnAiACWVt7e3pkyZoi1btqhZs2bG85OSkvTCCy+oZcuWio6ONp4PAAAAwLZYhgMAAAAAjNmxY4d27Nhhud7Hx0f33XefwYkAlAatW7dWdHS0Jk6cqLJlyxrP37Vrl9q2baunn35aly9fNp4PAAAAwDZYhgMAAAAAjEhMTNSyZcss15cvX16DBg2SvT2/qgK4fQ4ODnrhhRcUFxenBx980Hh+dna2vv/+e/n6+mratGnG8wEAAACYxycMAAAAAIB8u3z5smbPnm35ubrOzs4KDQ2Vu7u74ckAlDZVq1bVjBkztHbtWvn7+xvPP3/+vIYNG6YOHTpo//79xvMBAAAAmMMyHAAAAACQL+np6QoLC9ONGzcsZwwYMECVK1c2OBWA0q5Tp07au3evPv74Y5t80Wbjxo1q1qyZXnnlFV27ds14PgAAAID8YxkOAAAAAMiXyMhInTt3znL9PffcI19fX4MTAcBfnJyc9Oabbyo2Nlb9+vUznp+ZmanPP/9c/v7+mj17tvF8AAAAAPnDMhwAAAAAYFlUVJTi4+Mt1zdq1EgdOnQwOBEA/F3t2rU1f/58LVq0SHXq1DGef/LkSYWEhKh79+46dOiQ8XwAAAAA1rAMBwAAAABYEhMTo99//91yfbVq1dS3b1+DEwHAzfXu3VsHDhzQ6NGj5ezsbDx/5cqVaty4sd555x2lpqYazwcAAABwe1iGAwAAAABu2+nTp7VgwQLL9Z6engoNDZWTk5PBqQDgn7m5uWns2LHav3+/unbtajw/LS1NY8eOVUBAgJYuXWo8HwAAAMCtYxkOAAAAALgt169fV1hYmDIzMy3VOzg4KCQkRGXKlDE8GQDcugYNGmjVqlUKCwtT9erVjecfPXpUvXr1Uv/+/XX8+HHj+QAAAAD+GctwAAAAAMAty8rKUnh4uK5evWo5o3fv3qpZs6bBqQDAupCQEMXFxWnkyJFycHAwnj9//nz5+/vrk08+UUZGhvF8AAAAAHljGQ4AAAAAuGWLFy/WiRMnLNe3bdtWTZs2NTgRAOSfl5eXvvjiC+3cuVPt2rUznp+cnKw333xTTZs21fr1643nAwAAAMgdy3AAAAAAwC3ZunWr9uzZY7m+fv36Nnk+LwCY0qRJE23atEk//vijKlasaDw/NjZWnTp10sMPP6yzZ88azwcAAADw31iGAwAAAAD+0eHDh7Vy5UrL9RUqVFBwcLDs7fk1FEDRN2zYMMXHx+vJJ5+UnZ2d8fwZM2bIz89PkyZNUnZ2tvF8AAAAAH/hUwgAAAAAwE1dvHhRc+fOVU5OjqV6V1dXhYaGytXV1fBkAGA73t7e+v7777V582YFBQUZz79y5YqGDx+uVq1aafv27cbzAQAAALAMBwAAAADcRGpqqmbNmqXU1FRL9XZ2dgoODrbJ7YYBoCC0adNG27dv11dffaUyZcoYz9+5c6fatGmjZ555RpcvXzaeDwAAAJRmLMMBAAAAALnKzs7W3LlzdfHiRcsZ9957r+rXr29wKgAoeA4ODnrxxRcVHx+vBx54wHh+dna2pkyZIl9fX/3888/G8wEAAIDSimU4AAAAACBXq1ev1uHDhy3XN23aVG3btjU4EQAUrqpVq+q3335TVFSU/Pz8jOefP39eQ4cOVceOHRUTE2M8HwAAAChtWIYDAAAAAP5mz5492rJli+X6mjVrqlevXgYnAoCio3Pnztq7d68++ugjubu7G8///fffFRQUpFdeeUXXr183ng8AAACUFizDAQAAAAD/5cSJE1q8eLHl+jJlyigkJESOjo4GpwKAosXZ2VlvvfWWYmNj1bdvX+P5mZmZ+vzzz+Xn56c5c+YYzwcAAABKA5bhAAAAAID/c/XqVYWHhysrK8tSvaOjo0JCQuTp6Wl4MgAommrXrq0FCxZo4cKF8vHxMZ5/8uRJDR48WD169MjXoysAAACA0ohlOAAAAABAkpSRkaGwsLB83ZK3X79+ql69usGpAKB46NOnj2JjY/X222/L2dnZeP6KFSvUqFEjvfvuu0pNTTWeDwAAAJRELMMBAAAAAJKkhQsX6vTp05brO3TooEaNGhmcCACKFzc3N33wwQfat2+funbtajw/LS1N77//vho1aqRly5YZzwcAAABKGpbhAAAAAAD9/vvviomJsVzv6+ure+65x+BEAFB8+fr6atWqVZo1a5aqVatmPP/IkSPq2bOnBgwYoOPHjxvPBwAAAEoKluEAAAAAUMrFx8crKirKcn3lypU1YMAAgxMBQMkQGhqquLg4jRgxQg4ODsbz582bJ39/f40fP14ZGRnG8wEAAIDijmU4AAAAAJRi586dU2RkpOV6Nzc3hYaG2uT5uABQEpQpU0Zffvmldu7cqbZt2xrPT05O1htvvKGgoCBt2LDBeD4AAABQnLEMBwAAAIBSKiUlRWFhYUpPT7dUb29vr8GDB6t8+fKGJwOAkqdJkybavHmzpk6dqgoVKhjPP3DggO6++2498sgjOnfunPF8AAAAoDhiGQ4AAAAApVB2drbmzJmjy5cvW87o0aOHfHx8zA0FAKXA448/rvj4eD3xxBOys7Mznv/rr7/K19dXkyZNUnZ2tvF8AAAAoDhhGQ4AAAAApdDy5cuVmJhoub5FixZq2bKluYEAoBSpUKGCfvjhB23evFlNmzY1nn/lyhUNHz5crVu31vbt243nAwAAAMUFy3AAAAAAKGV27tyZr+VI7dq11aNHD4MTAUDp1KZNG+3YsUNffvmlypQpYzx/x44datOmjZ599llduXLFeD4AAABQ1LEMBwAAAIBSJDExUUuXLrVcX65cOQ0ePFgODg4GpwKA0svBwUEjRoxQXFychgwZYjw/Oztb3333nXx9ffXLL78YzwcAAACKMpbhAAAAAFBKXLlyRXPmzLH8DFlnZ2eFhobK3d3d8GQAgGrVqmnmzJlas2aN/Pz8jOefO3dOjz32mDp27KiYmBjj+QAAAEBRxDIcAAAAAEqB9PR0zZo1SykpKZYz+vfvrypVqhicCgDwv+655x7t3btXH374odzc3Izn//777woKCtJrr72m5ORk4/kAAABAUcIyHAAAAABKgXnz5uncuXOW6zt37myTKxUBAH/n7OysUaNGKTY2Vn369DGen5mZqU8//VR+fn6KiIgwng8AAAAUFSzDAQAAAKCEW7t2reLi4izXBwQEqGPHjgYnAgDcCh8fHy1cuFALFiyQj4+P8fwTJ05o0KBBuu+++3TkyBHj+QAAAEBhYxkOAAAAACXYgQMHtGHDBsv11apVU79+/QxOBAC4XX379tWBAwf01ltvydnZ2Xj+8uXL1ahRI7333ntKTU01ng8AAAAUFpbhAAAAAFBCnT59WgsWLLBc7+HhoZCQEDk5ORmcCgBghbu7uz766CPt27dPXbp0MZ6fmpqqMWPGqHHjxlq+fLnxfAAAAKAwsAwHAAAAgBIoOTlZYWFhysjIsFTv4OCgkJAQlS1b1vBkAID88PX11erVqzVz5kxVq1bNeP7hw4d13333aeDAgTpx4oTxfAAAAKAgsQwHAAAAgBImKytL4eHhunr1quWMXr16qVatWganAgCYNGTIEMXFxenFF1+Ug4OD8fy5c+fK399fEyZMUGZmpvF8AAAAoCCwDAcAAACAEmbJkiU6fvy45fo2bdooKCjI4EQAAFsoU6aMvvrqK+3YsUNt2rQxnn/9+nW9/vrrCgoK0u+//248HwAAALA1luEAAAAAUIJs3bpVu3fvtlxfr1493XvvvQYnAgDYWtOmTbVlyxb98MMPqlChgvH8mJgYdezYUY8++qjOnTtnPB8AAACwFZbhAAAAAFBCHDlyRCtXrrRc7+3trYEDB8renl8VAaA4euKJJxQfH6/HH39cdnZ2xvOnT58uX19fffvtt8rOzjaeDwAAAJjGJxwAAAAAUAJcvHhRERERysnJsVTv4uKiIUOGyNXV1fBkAICCVKFCBU2dOlWbNm1SkyZNjOdfuXJFzz//vFq3bq0dO3YYzwcAAABMYhkOAAAAAMVcamqqwsLClJqaaqnezs5OAwcOVMWKFQ1PBgAoLG3bttXOnTv1xRdfyMvLy3j+jh071Lp1az333HO6cuWK8XwAAADABJbhAAAAAFCM5eTkaO7cubpw4YLljK5du6p+/foGpwIAFAUODg4aOXKk4uLiFBISYjw/OztbkydPlq+vr6ZPn248HwAAAMgvluEAAAAAUIytXr1ahw8ftlzfpEkTtWvXzuBEAICipnr16goLC9Pq1avl6+trPP/cuXN69NFHdffdd+vAgQPG8wEAAACrWIYDAAAAQDG1d+9ebd682XJ9jRo11Lt3b4MTAQCKsi5dumjfvn364IMP5ObmZjx/w4YNCgoK0uuvv67k5GTj+QAAAMDtYhkOAAAAAMXQiRMntGjRIsv1Xl5eCg0NlaOjo8GpAABFnbOzs95++23Fxsba5AtRGRkZmjBhgvz9/RUZGWk8HwAAALgdLMMBAAAAoJi5evWqwsPDlZWVZane0dFRoaGh8vT0NDwZAKC48PHx0aJFizR//nzVrl3beP7x48cVHBysnj176siRI8bzAQAAgFvBMhwAAAAAipHMzEyFh4fr+vXrljP69u2r6tWrG5wKAFBc9evXT7GxsXrrrbfk7OxsPH/ZsmVq1KiRxowZo7S0NOP5AAAAwM2wDAcAAACAYmThwoU6deqU5fq77rpLjRs3NjgRAKC4c3d310cffaS9e/fqnnvuMZ6fmpqq9957T40aNdKKFSuM5wMAAAB5YRkOAAAAAMXExo0btX//fsv1DRo0sMmSAwBQMvj5+WnNmjX67bffVLVqVeP5hw8fVo8ePTRw4ECdOHHCeD4AAADwv1iGAwAAAEAx8McffygqKspyfaVKlTRgwADZ2dkZnAoAUBI98MADiouL0wsvvCAHBwfj+XPnzpW/v78+/fRTZWZmGs8HAAAA/o1lOAAAAAAUcefPn9fcuXOVk5Njqd7NzU1DhgyRi4uL4ckAACVV2bJlNXHiRG3fvl2tW7c2nn/9+nW99tprCgoK0saNG43nAwAAABLLcAAAAAAo0m7cuKFZs2YpPT3dUr29vb0GDRqk8uXLG54MAFAaBAUFaevWrfr+++/l7e1tPD8mJkYdO3bUY489pvPnzxvPBwAAQOnGMhwAAAAAiqjs7GzNmTNHly9ftpzRvXt31alTx+BUAIDS6Mknn1R8fLyGDRtm/JEbOTk5+uWXX+Tr66vvvvtO2dnZRvMBAABQerEMBwAAAIAiasWKFUpISLBc37x5c7Vq1crgRACA0qxixYr68ccftXHjRgUGBhrPv3z5sp599lm1adNGO3fuNJ4PAACA0odlOAAAAAAUQTt37lR0dLTl+tq1a+u+++4zOBEAAH9p166ddu3apc8//1xeXl7G87dv365WrVrp+eef15UrV4znAwAAoPRgGQ4AAAAARcyxY8e0dOlSy/XlypXT4MGD5eDgYHAqAAD+HwcHB7300kuKi4tTSEiI8fzs7Gx9++238vPz06+//mo8HwAAAKUDy3AAAAAAKEKuXLmi2bNnW35eqpOTk0JDQ+Xu7m54MgAA/q569eoKCwvTqlWr1KBBA+P5Z8+e1SOPPKJOnTopNjbWeD4AAABKNpbhAAAAAFBEpKenKywsTCkpKZYz+vfvrypVqhicCgCAf9a1a1ft379fY8eOlZubm/H89evXq2nTpnr99deVnJxsPB8AAAAlE8twAAAAACgi5s+fr7Nnz1qu79Spk/z9/Q1OBADArXN2dtbo0aN14MAB9erVy3h+RkaGJkyYIH9/f0VGRhrPBwAAQMnDMhwAAAAAioB169bp4MGDlusbNmyou+++2+BEAABYU6dOHS1evFjz5s3THXfcYTz/+PHjCg4OVq9evXT06FHj+QAAACg5WIYDAAAAQCGLjY3V+vXrLddXrVpV999/v8GJAADIv/vvv18HDx7UG2+8IScnJ+P5S5cuVUBAgN5//32lpaUZzwcAAEDxxzIcAAAAAArRmTNnNH/+fMv1Hh4eCg0NtcmSAQCA/HJ3d9e4ceO0d+9ede7c2Xh+amqq3n33XTVu3FgrV640ng8AAIDijWU4AAAAABSS5ORkhYWFKSMjw1K9g4ODBg8erLJlyxqeDAAAs/z9/RUVFaUZM2aoatWqxvMPHTqk7t27a9CgQTp58qTxfAAAABRPLMMBAAAAoBBkZWUpPDxcSUlJljN69eplk2exAgBgKw8++KDi4uI0fPhwOTg4GM+PiIiQn5+fPvvsM2VmZhrPBwAAQPHCMhwAAAAACsGSJUt0/Phxy/WtW7dWUFCQwYkAACgYZcuW1ddff63o6Gi1bt3aeP7169f16quvqlmzZtq0aZPxfAAAABQfLMMBAAAAoIBt27ZNu3fvtlxft25ddevWzeBEAAAUvGbNmmnr1q2aMmWKvL29jefv379fHTp00NChQ3X+/Hnj+QAAACj6WIYDAAAAQAE6evSoVqxYYbne29tbAwcOlL09v84BAEqGp556SvHx8Ro6dKjs7OyMZufk5Ojnn3+Wr6+vpkyZouzsbKP5AAAAKNr49AQAAAAACsilS5c0Z84c5eTkWKp3cXHRkCFD5ObmZngyAAAKV8WKFfXTTz/p999/V+PGjY3nX758Wc8884zatm2rXbt2Gc8HAABA0cQyHAAAAAAKQFpammbNmqXU1FRL9XZ2dgoODlbFihUNTwYAQNHRvn177dq1S5999pk8PT2N50dHR6tly5YaPny4kpKSjOcDAACgaGEZDgAAAAA2lpOTo7lz5+rChQuWM7p06aI777zT4FQAABRNjo6OevnllxUXF6dBgwYZz8/OztakSZPk6+urGTNmGM8HAABA0cEyHAAAAABsbM2aNTp06JDl+sDAQLVv397gRAAAFH01atTQ7NmztWLFCpt8Iezs2bN6+OGH1blzZx08eNB4PgAAAAofy3AAAAAAsKF9+/Zp06ZNlutr1KihPn36GJwIAIDipVu3btq/f7/ef/99ubq6Gs9ft26dmjRpojfffFMpKSnG8wEAAFB4WIYDAAAAgI2cPHlSixYtslzv5eWlkJAQOTo6GpwKAIDix8XFRf/617904MAB9ezZ03h+RkaGPvnkE/n7+2vevHnG8wEAAFA4WIYDAAAAgA1cu3ZN4eHhyszMtFTv6OiokJAQeXl5GZ4MAIDiq27dulqyZIkiIyN1xx13GM//888/NWDAAPXu3VsJCQnG8wEAAFCwWIYDAAAAgGGZmZkKDw/XtWvXLGf06dNHNWrUMDgVAAAlR//+/RUbG6vXX39dTk5OxvOXLFmigIAAjR07VmlpacbzAQAAUDBYhgMAAACAYYsWLdLJkyct17dv316BgYEGJwIAoOTx8PDQJ598oj179qhTp07G82/cuKF33nlHgYGBWrVqlfF8AAAA2B7LcAAAAAAwaNOmTdq3b5/l+gYNGqhLly4GJwIAoGRr2LCh1q5dq19//VVVqlQxnv/HH3+oW7duCgkJ0alTp4znAwAAwHZYhgMAAACAIX/88YfWrFljub5SpUoaMGCA7OzsDE4FAEDp8NBDDyk+Pl7PP/+87O3Nf+w5e/Zs+fn56fPPP1dmZqbxfAAAAJjHMhwAAAAADDh//rwiIyOVk5Njqd7NzU2hoaFycXExPBkAAKVH2bJl9c033yg6OlqtWrUynn/t2jW98sorat68uTZt2mQ8HwAAAGaxDAcAAACAfLpx44bCwsKUlpZmqd7e3l4DBw6Ut7e34ckAACidmjdvri1btmjy5MkqX7688fx9+/apQ4cOGjZsmC5cuGA8HwAAAGawDAcAAACAfMjOzlZERIQuXbpkOaN79+6qW7euwakAAIC9vb2eeeYZxcfH67HHHjP+GJKcnBxNmzZNvr6++v77741mAwAAwAyW4QAAAACQDytWrNDRo0ct1zdr1swmt3EFAAB/qVSpkqZNm6YNGzaocePGxvMvXbqkp59+Wm3atNHu3buN5wMAAMA6luEAAAAAYNGuXbsUHR1tuf6OO+5Qz549DU4EAADyctddd2nXrl369NNP5enpaTx/27ZtatmypV544QUlJSUZzwcAAMDtYxkOAAAAABb8+eefWrp0qeX6smXLavDgwXJwcDA4FQAAuBlHR0e98soriouL08CBA43nZ2Vl6ZtvvpGfn59+++034/kAAAC4PSzDAQAAAOA2JSUlafbs2crKyrJU7+TkpNDQUHl4eBieDAAA3IoaNWpozpw5WrFihe68807j+WfOnNFDDz2ke+65R3FxccbzAQAAcGtYhgMAAADAbUhPT1dYWJiSk5MtZ/Tv319Vq1Y1OBUAALCiW7du2r9/v8aMGSNXV1fj+WvXrlVgYKDeeustpaSkGM8HAADAzbEMBwAAAIDbsGDBAp05c8Zy/d133y1/f3+DEwEAgPxwcXHRO++8owMHDui+++4znp+RkaFx48apYcOGmj9/vvF8AAAA5I1lOAAAAADcovXr1ys2NtZyvb+/vzp16mRuIAAAYEzdunW1dOlSzZ07V7Vq1TKef+zYMfXv3199+vRRQkKC8XwAAAD8HctwAAAAALgFBw8e1Lp16yzXV6lSRffff7+5gQAAgE0MGDBABw8e1GuvvSYnJyfj+YsXL1ZAQIA++OADpaenG88HAADA/8MyHAAAAAD+wZkzZzRv3jzL9R4eHhoyZIicnZ0NTgUAAGzFw8ND48eP1+7du9WxY0fj+Tdu3NC//vUvNW7cWKtXrzaeDwAAgL+wDAcAAACAm0hOTlZYWJgyMjIs1dvb22vw4MEqW7as4ckAAICtBQQEaP369Zo+fboqV65sPP+PP/7Qvffeq9DQUJ06dcp4PgAAQGnHMhwAAAAA8pCVlaXZs2crKSnJckavXr10xx13GJwKAAAUtIcffljx8fF67rnnZG9v/iPV8PBw+fn56YsvvlBWVpbxfAAAgNKKZTgAAAAA5GHp0qX6888/Lde3atVKzZo1MzgRAAAoLOXKldOkSZMUHR2tli1bGs+/du2aXn75ZTVv3lybN282ng8AAFAasQwHAAAAgFxER0dr165dluvr1Kmj7t27G5wIAAAUBc2bN9fWrVv17bffqnz58sbz9+7dq7vuukuPP/64Ll68aDwfAACgNGEZDgAAAAD/IyEhQStWrLBc7+3trUGDBtnkNqoAAKDw2dvb69lnn1V8fLxcVJGVAAAgAElEQVQeffRR4/k5OTn66aef5Ovrqx9++MF4PgAAQGnBJzMAAAAA8B8uXbqkOXPmKDs721K9i4uLQkND5ebmZngyAABQ1FSqVEk///yzNmzYoEaNGhnPv3jxop566im1bdtWe/bsMZ4PAABQ0rEMBwAAAID/X1pamsLCwnTjxg1L9XZ2dhowYIAqVapkeDIAAFCUdejQQbt379aECRPk6elpPH/r1q1q0aKFXnzxRV29etV4PgAAQEnFMhwAAAAA9NftSCMjI3X+/HnLGV26dFGDBg0MTgUAAIoLR0dHvfrqqzp48KCCg4ON52dlZenrr7+Wr6+vZs6caTwfAACgJGIZDgAAAACSoqKi9Mcff1iub9y4sdq3b29wIgAAUBzVrFlTERERWrZsmerXr288/8yZM3rwwQfVpUsXxcXFGc8HAAAoSViGAwAAACj19u/fr40bN1qur169uvr27WtwIgAAUNz16NFDMTExeu+99+Tq6mo8PyoqSk2aNNGoUaOUkpJiPB8AAKAkYBkOAAAAoFQ7deqUFi5caLne09NToaGhcnR0NDgVAAAoCVxcXPTuu+8qJiZGPXr0MJ6fnp6ujz/+WA0bNszXzzMAAAAlFctwAAAAAKXWtWvXFBYWpszMTEv1jo6OCg0NlZeXl+HJAABASVKvXj0tW7ZMERERqlmzpvH8Y8eOqV+/furbt68SExON5wMAABRXLMMBAAAAlEqZmZkKDw/XtWvXLGf06dNHNWrUMDgVAAAoyYKDg3Xw4EG9+uqrNrmrzKJFi9SwYUN9+OGHSk9PN54PAABQ3LAMBwAAAFAqLVq0SCdPnrRc365dOwUGBhqcCAAAlAaenp6aMGGC9uzZow4dOhjPv3HjhkaPHq3AwECtWbPGeD4AAEBxwjIcAAAAQKmzefNm7du3z3L9nXfeqa5duxqcCAAAlDYBAQHasGGDfvnlF1WuXNl4fnx8vLp27aohQ4bo9OnTxvMBAACKA/P34gEAAACKqePHjysmJkYJCQlKTExUYmKirly5ouvXrys5OVlZWVny9PSUl5eXypQpowYNGiggIECBgYFcIVyMHDp0SKtXr7ZcX7FiRQUHB8vOzs7gVAAAoLR65JFH1LdvX40aNUpTpkxRdna20fywsDAtXbpUY8aM0QsvvCAHBwej+QAAAEUZy3AAAACUWufPn1dUVJSio6O1Y8cOnTlz5h9rLl++rMuXL0uSYmJiFBkZKUny8fFRcHCwQkJCVLZsWZvODesuXLiguXPnKicnx1K9q6urhgwZIhcXF8OTAQCA0qxcuXL69ttvNWzYMD377LPasWOH0fyrV6/qpZde0s8//6zJkyerbdu2RvMBAACKKm6TDgAAgFIlKSlJM2bM0EMPPaSOHTvqnXfe0eLFi29pEX4ziYmJ+uyzz9SrVy+tWLHC0LQw6caNG5o1a5bS0tIs1dvZ2WnQoEHy9vY2PBkAAMBfWrRooW3btmnSpEkqV66c8fy9e/eqffv2euKJJ3Tx4kXj+QAAAEUNy3AAAACUKvPmzdPYsWO1fft247eglP662vzFF1/UuHHjjGfDuuzsbEVEROjSpUuWM7p37666desanAoAAODv7O3t9dxzzyk+Pl4PP/yw8fycnBz9+OOP8vX11dSpU43nAwAAFCUswwEAAFCqxMXFFUifadOmaeLEiQXSC/9s5cqVOnr0qOX6oKAgtW7d2uBEAAAAN1e5cmVNnz5d69evV0BAgPH8ixcv6sknn1S7du20d+9e4/kAAABFActwAAAAlCqxsbH/+B57e3tVrlxZ9erVU9OmTdWuXTsFBQXpzjvvlKur6y33mjRpknbv3p2fcWHA7t27tW3bNsv1tWrVUq9evQxOBAAAcOs6duyoPXv2aPz48fLw8DCev2XLFjVv3lwjR47U1atXjecDAAAUJsfCHgAAAAAoKOnp6bleHVy9enV17NhRjRo1kq+vrxo0aJDn0js7O1vHjh3TunXrtHDhwn9crn/88ccKDw+XnZ2dkT8D/j/27jw8qsLe//hnZjLZISRAWAIkJGQmIAKKgohFARUEQfYMbrVar/qzVrt4q7W1Wq3LrbZVq9aq1dZWEkBWFQQERVEUkH2ZyQoh7IEkkEAy2++P2+Y2hUE4Oclkeb+e5z6t58z3ez70ee7DmE/OOednz549+uCDDwzPJyQkKDs7WzabzcRUAAAA5yciIkIPPvigXC6XHnjgAc2bN8/U/X6/Xy+88IJmz56t559/XjNnzjR1PwAAQLhQhgMAAKDNyMvLk9frlSRlZGTohhtu0JVXXqmsrKxz3mG1WtW7d2/17t1bt912m5YsWaLHH39c5eXlZ/z85s2btXXrVg0YMMCUPwPOXUVFhWbPni2/329o3m63y+VyNcodWAAAAEb07NlT7733npYsWaL77rtPBQUFpu7fv3+/brzxRr355pt6+eWX5XQ6Td0PAADQ1HhMOgAAANqMwsJCXX/99XrnnXf04Ycf6q677jqvIvw/WSwWjRs3Trm5uerUqVPIz61evdrwNWCM1+tVTk6OqqqqDO+YNGmSunbtamIqAAAAc1x33XXatm2bfvWrXykqKsr0/R9//LEGDBigRx55RCdPnjR9PwAAQFOhDAcAAECbMWHCBD3//PMaMmSIqXvT0tL05JNPhjy/du1aU6+Hb7dgwQIdOHDA8PyIESPUr18/ExMBAACYKzo6Wo899pi2bdumMWPGmL6/trZWTz31lPr166fFixebvh8AAKApUIYDAAAAJhg5cqTS0tLOeK4hpSzO3+rVq7/1Xe5n07dvX40cOdLERAAAAI2nT58+Wrp0qebMmaMePXqYvr+4uFgTJ07UxIkTtXv3btP3AwAANCbKcAAAAMAkgwcPPuPxo0ePNnGStmvnzp1atWqV4fkuXbpo0qRJJiYCAABoGtOmTdPOnTv1k5/8RBEREabvX7x4sfr166ennnpKtbW1pu8HAABoDJThAAAAgEk6d+58xuNVVVUKBoNNnKbtOXjwoObPn294PjY2Vi6XS5GRkSamAgAAaDrx8fF67rnntHHjRl1xxRWm76+urtYjjzyigQMHauXKlabvBwAAMBtlOAAAAGCSUHfIREVFyWKxNHGatqW6ulo5OTnyer2G5q1Wq2bMmKEOHTqYnAwAAKDp9e/fX5999pnefvvtkL+w2RC7du3S6NGjdeONN/JKIAAA0KxRhgMAAAAmKSoqOuPxpKSkJk7Stvj9fs2ePVvl5eWGd4wbN06pqakmpgIAAAi/7373u3K73br77rtltZr/o+BZs2bJ6XTqxRdflN/vN30/AABAQ1GGAwAAACbZsmXLGY9369atiZO0LUuWLNHu3bsNz1966aUh3/cOAADQ0iUmJurVV1/V2rVrG+U7T2Vlpe6//35dcsklWrt2ren7AQAAGiIi3AEAAACAcCsuLtamTZuUn5+voqIiHTx4UEePHlVlZaVqa2tVW1vboHd+Z2RkmJgW/27dunXasGGD4fnevXtr7NixJiYCAABoni699FJ9/fXXevXVV/WLX/yiQU/VOZNNmzbp8ssv1x133KFnn32WpyMBAIBmgTIcAAAAbU4wGNQXX3yhpUuXatWqVTp8+HCjXo8yvHEUFRVp6dKlhucTExM1ffr0RnlkKAAAQHNktVp17733atq0aXrwwQf1zjvvmLo/GAzqjTfe0IIFC/TMM8/ojjvuMHU/AADA+eKnPgAAAGgzvF6vZs2apWuvvVa33367Zs+e3ehFuCSlp6c3+jXammPHjmnOnDkKBAKG5iMjI+VyuRQTE2NyMgAAgOavS5cu+tvf/qZPPvlE/fr1M33/kSNH9P3vf1/Dhw/X5s2bTd8PAABwrijDAQAA0CZ8+eWXGjdunB577DHt2bOnSa/dt2/fJr1ea1dTU6NZs2bp5MmThuYtFoumTJmi5ORkk5MBAAC0LFdeeaU2bdqkZ599VnFxcabv/+KLLzR48GA98MADOn78uOn7AQAAvg1lOAAAAFo1v9+vp59+WrfddluTl+CS1LlzZ0pXEwWDQc2fP79Bd/SPGjVKTqfTxFQAAAAtl91u13//939r586dmjx5sun7/X6/XnjhBWVlZSknJ8f0/QAAAGfDO8MBAADQatXW1uree+/V6tWrz3s2Li5OnTt3VlxcnOLi4mSz2WSz2c742WAwqDVr1pzx3AUXXHDe10ZoK1eulNvtNjzfv39/XXHFFSYmAgAAaB169uypefPm6cMPP9R9992nwsJCU/fv27dPM2fO1JtvvqmXX35ZDofD1P0AAABnQhkOAACAVikQCOj+++8/pyI8JSVFw4cP16BBg5SVlaXU1FTFx8ef87UKCgo0bty4M55rjHcwtlXbtm3T559/bni+e/fumjhxoomJAAAAWp9x48Zp1KhRevrpp/Xss8+qpqbG1P0rVqzQhRdeqAcffFCPPPKIYmJiTN0PAADw73hMOgAAAFqlV199VStXrgx53mq1avz48crNzdXKlSv1xBNPaOrUqbrgggvOqwiXpE2bNoU8x53h5ti3b58WLlxoeD4+Pl7Z2dmy2+0mpgIAAGidoqOj9fjjj2vbtm269tprTd9fW1ur3/zmN7rgggv0/vvvm74fAADgXyjDAQAA0OoUFRXp1VdfDXm+W7duevvtt/W73/1OgwYNavD1Qj0iXeLOcDOcOHFCubm58vl8huZtNpuys7PVvn17k5MBAAC0bn369NFHH32k2bNnKyUlxfT9RUVFmjBhgm644Qbt3r3b9P0AAACU4QAAAGh1/vjHP8rr9Z7xXEpKiubNm6ehQ4eacq1gMKgvvvjijOcSExPVvXt3U67TVvl8PuXm5qqystLwjgkTJqhHjx4mpgIAAGhbpk+frl27dunHP/6xIiLMf/PmokWL1K9fPz399NMhv8cDAAAYQRkOAACAVqWsrEwfffTRGc9FRETolVdeUVJSkmnXW79+vY4dO3bGczwiveHef/997d271/D8sGHDNHDgQBMTAQAAtE3x8fF6/vnn9c033+iKK64wfX91dbV+/vOfa+DAgVq1apXp+wEAQNtEGQ4AAIBW5ZNPPgl5N8no0aOVlZVl6vXeeeedkOd4RHrDfPnll9q8ebPh+T59+uiaa64xMREAAAAuvPBCffbZZ3rrrbfUuXNn0/fv3LlTo0aN0k033aQDBw6Yvh8AALQtlOEAAABoVdavXx/y3KRJk0y91r59+7RixYqQ5ynDjcvPz9fy5csNz3fq1ElTp06VxWIxMRUAAAD+5bbbbpPb7dZdd90lq9X8HzO/++67ysrK0osvvii/32/6fgAA0DZQhgMAAKBVKSgoCHkuLS3N1Gs9//zzZ/3BHI9JN+bIkSOaO3eugsGgofno6Gi5XC5FR0ebnAwAAAD/LjExUX/605/05Zdf6uKLLzZ9f0VFhe6//35deuml+uqrr0zfDwAAWj/KcAAAALQqR44cCXkuOTnZtOt8+umnev/990Oeb9eunXr27Gna9dqKU6dOKScnRzU1NYbmLRaLpk2bpo4dO5qcDAAAAKEMGTJE69at00svvaSEhATT92/cuFHDhg3Tf/3Xf+no0aOm7wcAAK0XZTgAAABalbOVqFVVVaZc48iRI3rsscfO+pm+ffvyiO7zFAgENHfuXJWVlRnece211yojI8PEVAAAADgXVqtVP/jBD+R2u3XTTTeZvj8YDOr111+X0+nUX/7yF9P3AwCA1okyHAAAAK1Ku3btQp5zu90N3n/ixAndeeed2rdv31k/xyPSz9/y5cvP+pj7bzNo0CBddtllJiYCAADA+erSpYv+/ve/a9WqVerbt6/p+48cOaI77rhDV1xxhbZs2WL6fgAA0LpQhgMAAKBV6dSpU8hzS5YsadDuiooK3XPPPdqxY8e3fpYy/Pxs3LhRa9euNTzfs2dPXX/99SYmAgAAQENcddVV2rx5s5555hnFxcWZvn/NmjUaPHiwfvzjH+v48eOm7wcAAK0DZTgAAABalX79+oU8t3DhQsN3j+zatUtTp07V119/3eAcqK+kpEQffPCB4fn27dtrxowZstlsJqYCAABAQ9ntdv3sZz/Tjh07NGnSJNP3+3w+/f73v1dWVpZyc3NN3w8AAFo+ynAAAAC0KldeeWXIc36/X3ffffd5FeLHjh3Tb3/7W82YMUMlJSX1ztnt9jPOxMbGqnfv3ud8jbasoqJCubm58vv9hubtdrtcLpfi4+NNTgYAAACz9OrVS/Pnz9f777/fKN+T9+3bJ5fLpWuvvVZ5eXmm7wcAAC0XZTgAAABalSFDhqhnz54hz5eVlWnmzJl6/PHHtWvXLgWDwdM+c+rUKX366af69a9/rauvvlpvvPGGampq6n3m9ttvV2xs7BmvkZWVJauVr9rfxuv1Kjc3V1VVVYZ33HDDDerWrZuJqQAAANBYxo8fr+3bt+sXv/iFoqKiTN+/fPlyXXjhhfrlL3+pkydPmr4fAAC0PBHhDgAAAACYyW636/7779dPf/rTkJ/x+Xx699139e677yohIUE9e/ZUu3btdOLECZWVlenw4cPyer0h52fMmCGXy6W//OUvZzzP+8LPzcKFC7V//37D8yNGjOB/awAAgBYmJiZGTzzxhG699Vbde++9Wr58uan7a2pq9OSTT+of//iHXnrpJY0fP97U/QAAoGXhdhUAAAC0Otdff72uvfbac/psRUWFtm3bpi+//FJbt27Vvn37zlqE33333XriiSe0ffv2kJ/hfeHf7rPPPjvr/4bfJisrSyNHjjQxEQAAAJpSZmamli1bptzcXHXv3t30/UVFRbr++us1efJk7dmzx/T9AACgZaAMBwAAQKtjsVj0P//zPxo4cKBpOzt06KAXX3xRP/rRjyRJ27ZtC/lZyvCz27Vrl1auXGl4Pjk5WZMnTzYxEQAAAMJlxowZ2rVrl370ox8pIsL8B5kuWLBAffv21TPPPHPWX3oFAACtE2U4AAAAWqWYmBj99a9/1cSJExu0x2q1avLkyVq0aJHGjBlTdzxUGR4VFaU+ffo06Jqt2aFDhzR//nzD87GxsZo5c6YiIyNNTAUAAIBwateunX73u99pw4YNGj58uOn7q6ur9fDDD2vgwIH65JNPTN8PAACaL8pwAAAAtFoxMTH67W9/qxdeeEEOh+O8ZuPi4uRyubRo0SI988wz6tKlS73ze/fuVbt27U77v0GDBjXKHS2tQXV1tWbNmqXa2lpD81arVdOnT1eHDh1MTgYAAIDmYMCAAfr888/15ptvqlOnTqbv37lzp0aOHKmbb75ZBw8eNH0/AABofvgpHQAAAFq9sWPHasyYMVq7dq3WrFmj9evX6+DBgzp69Kj8fr9iY2OVmJiotLQ0OZ1OXXbZZRo8eLCioqJC7mzIY77bIr/frzlz5qi8vNzwjnHjxiktLc28UAAAAGiWbr/9dk2aNEkPP/ywXn/9dQWDQVP3/+Mf/9D777+vJ598Uv/v//0/Wa3cMwYAQGtFGQ4AAIA2wWKxaNiwYRo2bFi4o7RJS5cuVXFxseH5Sy65RIMHDzYvEAAAAJq1pKQkvfbaa7r99tt1zz33aOPGjabur6io0H333ae33npLr776qoYMGWLqfgAA0DzwK28AAAAAGtX69eu1fv16w/NpaWm67rrrTEwEAACAlmLo0KFat26dXnzxRSUkJJi+/5tvvtGwYcN011136dixY6bvBwAA4UUZDgAAAKDRFBcXa8mSJYbnO3TooOnTp/PoSgAAgDbMZrPpvvvu065du3TjjTeavj8QCOjPf/6znE6n3nrrLdP3AwCA8OEnSgAAAAAaxbFjxzRnzhwFAgFD85GRkZo5c6ZiY2NNTgYAAICWqGvXrvrHP/6hlStXqm/fvqbvP3z4sG6//XZ95zvf0datW03fDwAAmh5lOAAAAADT1dbWKicnR9XV1YZ3TJkyRcnJySamAgAAQGswcuRIbd68WU8//XSj/OLk559/rosvvlg/+clPdPz4cdP3AwCApkMZDgAAAMB08+bN06FDhwzPjxo1Sk6n08REAAAAaE3sdrseeugh7dixQzfccIPp+30+n373u9+pb9++mj17tun7AQBA06AMBwAAAGCqlStXyu12G57v37+/vvOd75iYCAAAAK1VamqqFixYoMWLF6t3796m7y8tLVV2drbGjBmjvLw80/cDAIDGRRkOAAAAwDTbt2/XZ599Zni+W7dumjhxoomJAAAA0BZcf/312r59ux555BFFRkaavn/ZsmW68MIL9eijj+rUqVOm7wcAAI2DMhwAAACAKfbv368FCxYYno+Pj5fL5ZLdbjcxFQAAANqKmJgYPfnkk9q6dauuvvpq0/fX1NToiSee0AUXXKAlS5aYvh8AAJiPMhwAAABAg504cUI5OTny+XyG5m02m7Kzs9W+fXuTkwEAAKCtcTgcWr58uXJyctS9e3fT9xcWFmrcuHGaMmWKSkpKTN8PAADMQxkOAAAAoEH8fr9yc3NVWVlpeMf111+vHj16mJgKAAAAbV12drZ27dqlBx54QDabzfT98+fPV9++ffXss8/K6/Wavh8AADQcZTgAAACABnn//fe1d+9ew/OXXXaZBg0aZGIiAAAA4H+1a9dOv//977VhwwZdfvnlpu+vqqrSQw89pEGDBunTTz81fT8AAGgYynAAAAAAhq1du1abNm0yPN+nTx9dc801JiYCAAAATjdw4ECtWbNGb775pjp16mT6/h07duiqq67SLbfcooMHD5q+HwAAGEMZDgAAAMCQ/Px8LVu2zPB8x44dNXXqVFmt/GsJAAAAmsbtt98ut9utO++8UxaLxfT9f//735WVlaWXX35ZgUDA9P0AAOD88FMnAAAAAOetrKxM7733noLBoKH56OhouVwuRUdHm5wMAAAAOLukpCT9+c9/1hdffNEor+spLy/XD37wAw0ZMkTr1q0zfT8AADh3lOEAAAAAzsupU6c0a9YsnTp1ytC8xWLR1KlTG+XxlAAAAMC5uuyyy7R+/Xq98MILat++ven7N2zYoMsuu0x33323jh07Zvp+AADw7SjDAQAAAJyzYDCo9957T2VlZYZ3XHPNNerTp4+JqQAAAABjbDabfvjDH8rtdmvmzJmm7w8EAnrttdfkdDr19ttvm74fAACcHWU4AAAAgHO2fPly5efnG54fNGiQhg0bZmIiAAAAoOG6du2qd999Vx9//LGysrJM33/48GF973vf04gRI7Rt2zbT9wMAgDOjDAcAAABwTjZt2qQvv/zS8HyPHj00fvx4ExMBAAAA5ho1apQ2b96sp556SrGxsabv/+yzz3TRRRfppz/9qU6cOGH6fgAAUB9lOAAAAIBvtXfvXr3//vuG59u3b6/s7GxFRESYmAoAAAAwX2RkpB5++GHt2LFDEydONH2/z+fT888/r6ysLM2ZM8f0/QAA4P9QhgMAAAA4q8rKSuXm5srv9xuaj4iIUHZ2tuLj401OBgAAADSe1NRULVy4UIsWLVJaWprp+0tLSzVjxgyNHTu2Qa8iAgAAoVGGAwAAAAjJ6/UqJyenQY9wvOGGG9S9e3cTUwEAAABNZ8KECdqxY4d+/vOfKzIy0vT9H330kfr3769f/epXOnXqlOn7AQBoyyjDAQAAAIS0aNEi7d+/3/D8d77zHfXv39/ERAAAAEDTi4mJ0W9+8xtt2bJFo0ePNn1/TU2Nfv3rX6t///5asmSJ6fsBAGirKMMBAAAAnNFnn32mbdu2GZ53Op0aNWqUiYkAAACA8HI6nVqxYoVmzZqlbt26mb6/oKBA48aN05QpU1RSUmL6/oDXqxP5BfJv2y7fxk3yrd8g38ZNKvt8jY7n5Svg9Zp+TQAAwiki3AEAAAAAND9ut1srV640PJ+cnKzJkyebmAgAAABoPlwul8aNG6dHH31Uf/zjH+X3+03dP3/+fC1btkyPPvqofvSjH8lutxvaE/B6dfTrdSrfuFknCgpUvXuPgmfIWvDP/7TYbIpN7aX4jAx1uGigkoZcKqvBawMA0BxQhgMAAACo59ChQ5o3b57h+ZiYGLlcLkVFRZmYCgAAAGhe2rdvrz/84Q/63ve+p3vuuUdffvmlqfurqqr0s5/9TH/729/0yiuvaMSIEec8W3OkTAc+WqaDy1fIe6z8nOeCfr+qCotUVVikg8tXyJ7YQV2uuVpdx1yrqE4djfwxAAAIKx6TDgAAAKBOdXW1cnJyVFtba2jearVqxowZSkxMNDkZAAAA0DwNHDhQX3zxhV5//XV17Gh+Ybx9+3ZdeeWVuvXWW3Xo0KGzftZXVaW8l17W+jvv1t7Zc8+rCD8T77Fy7Z09V+vvvFt5L70s34kTDdoHAEBTowwHAAAAIEkKBAKaM2eOjh07ZnjH2LFjlZaWZl4oAAAAoIX4/ve/L7fbrTvuuEMWi8X0/e+8846cTqdeeeUVBQKBM3/IYpE1shGe0BQI6NCKlfrmBw/o6Lr15u8HAKCRUIYDAAAAkCQtXbpUxcXFhucvueQSXXrppeYFAgAAAFqYjh076o033tCaNWs0aNAg0/eXl5fr3nvv1dChQ7V+/emldERsrDLu+r4GPves4h2Zpl/fe+yYdj75tDx/eEn+kydN3w8AgNkowwEAAABow4YNWrduneH51NRUjR071sREAAAAQMs1bNgwrV+/Xn/4wx/Uvn170/evX79eQ4cO1T333KPy8tMfhR6fka4Bzz6ljHvuUkR8vOnXP7zqE2375ePyVh43fTcAAGaiDAcAAADauOLiYn344YeG5zt06KAZM2bIZrOZmAoAAABo2Ww2m+6//37t2rVLLpfL9P2BQEB/+tOf5HQ69de//vW08xarVV3HXquLX3lRyaNHSiY/uv1EXp62/eJRCnEAQLPWospwp9NpcTqdv3Y6nTVOpzPgdDpXhTsTAAAA0JKVl31O7kUAACAASURBVJdrzpw5od85+C0iIyPlcrkUGxtrcjIAAACgdejWrZtmzZqlFStWyOl0mr7/0KFDuu2223TllVdq+/btp523JyQo84c/0IVPPaHY1FRTr129e492/Po3PDIdANBstZgy3Ol0Rkl6V9IvJUVKskhKC2cmAAAAoCWrra3VrFmzVF1dbXjH5MmT1aVLFxNTAQAAAK3T6NGjtWXLFv3mN79RTEyM6ftXr16tQYMG6cEHH1RVVdVp59v366tBv/+t0r73Xdliok277om8PBW89oZp+wAAMFOLKMOdTmcnSR9L+s9nyZj7XBcAAACgDZk/f74OHTpkeH7kyJHKysoyMREAAADQukVGRurnP/+5duzYoQkTJpi+3+fz6bnnnlNWVpbmzp172nmLzaaUSRN10csvquPwy0277uFVn+jouvWm7QMAwCzNvgx3Op0OSWslDf/nIX8Y4wAAAACtwqpVq7Rr1y7D8xdccIFGjBhhYiIAAACg7UhLS9OiRYu0cOFCpZr86HJJ2rt3r6ZPn67rrrtOBQUFp52P6thRWf/9E/V77JeK7t7NlGvmv/wn+U6cMGUXAABmadZluNPpHCHpS0kZ/zyUJ+nu8CUCAAAAWr7t27dr9erVhue7deumG264wcREAAAAQNs0ceJE7dixQw8//LAiIyNN37906VL1799fjz32mGpqak47n3jRIF304u/V60aXrA28vvfYMRW99dcG7QAAwGzNtgx3Op23SFouKemfh76QNExSfthCAQAAAC3c/v37tXDhQsPzcXFxys7Olt1uNzEVAAAA0HbFxsbqqaee0ubNmzVq1CjT9586dUqPP/64+vfvr6VLl5523mq3q2f2dF300h+UOPjiBl3r0MpPVHOkrEE7AAAwU7Msw51O5yRJf5P0r19FmytptNvt5m9RAAAAwKCqqirl5OTI6/UamrfZbMrOzlZCQoLJyQAAAABkZWXp448/1rvvvqtu3cx5dPm/y8/P13XXXadp06Zp7969p52P7tpF/R59RBn33i1ZLMYuEgjo4LLlDUwKAIB5mmUZrv99HHrVP//7HyRlu93uU2HMAwAAALRofr9fubm5qqysNLxj/Pjx6tmzp4mpAAAAAPynmTNnateuXfrhD38om81m+v733ntPffv21XPPPSefz3fa+a7XXqOEARca3n9g2XIFzrAXAIBwaJZluNvt3i5psqTb3W73j9xudyDcmQAAAICW7IMPPlBJSYnh+csuu0wXXXSRiYkAAACAlsXn82nNmjXyeDwqLy9v1Gu1b99eL7zwgtavX6/LLrvM9P0nTpzQgw8+qIsuukjbt28/7by1Aa9F8h4r19Gv1jUkHgAApokId4BQ3G43z1IBAAAATLB27Vpt3LjR8HxGRoauueYaExMBAAAALU9ERIS2bt2qgwcPSpIiIyPVuXNnJScn1/vP9u3bm3bNQYMG6csvv9Trr7+uhx56SEePHjVttyTt27dPXbp0qXfs5P79Kt+8pUF7yzduUqfhwxq0AwAAMzTbMhwAAABAwxUUFGjZsmWG55OSkjRt2jRZrc3yoVIAAABAk3I6nXVleG1trUpLS1VaWlrvM9HR0XXl+L8X5XFxcYave+edd2ry5Ml66KGH9Je//EXBYLBBf45/eeqpp9SpU6d6xwpfe0NBr7dBe08UFDRoHgAAs1CGAwAAAK1UWVmZ5s6da/gHZVFRUZo5c6aio6NNTgYAAAC0TA6HQ6tXrz7rZ06dOqWSkpLTXlMUGxt72l3kycnJiomJOadrd+rUSW+88YbuuOMO3XPPPdq8ebPhP4ckDR06VHfeeWe9Y0e++FLlGzc1aK8kVe8pUcDrbdDj1gEAMANleDPj8/lksVjCHQMA0Mr4fL5zOgagZbJYLLLZbPW+R9bU1CgnJ0enTp0yvHPq1Kmn3SUSCATk9/sblBdAePB9AACA82exWBQR8X8/Rk9JSVG7du10/Pjx895VXV2t4uJiFRcX1zseHx9fdxf5v0ryzp07Kyoq6ox7hg0bpg0bNuill17So48+aiiLzWbTK6+8Uu8JUP6TJ1X05lvnvetMgj6fKvILFN8nw5R9AICWqTn8OydleDOzc+fOcEcAALQRO3bsCHcEACaIjo5WVlZWvSI8GAxq7ty5OnLkiOG9V199tTIzM+sdq66ultvtViAQMLwXQPPC9wEAAL7dwIED6xXiDodDGzZsMG3/iRMndOLECRUWFtY7npCQoF69eunyyy9X165d652z2Wx64IEHNGPGDP34xz9Wbm7ueV3znnvu0cUXX1zv2J6c2ao9UmbsD3EGeV9/LVt1lWn7AAAwghf/AQAAAC2UzWZTnz59ZLPZ6h1fsWKF8vPzDe8dOHCgLr/88nrHvF6v8vPzKcIBAADQ5lRWVtb7Z4fD0STXraio0NatW/Xaa6/pnXfeUVnZ6UV19+7dlZOTo+XLl59zrq5du+rJJ5+sd6xq9x7tX/yBKbn/JegN/92AAABQhgMAAAAtVHp6+mmPTty8ebO++OILwztTUlJ0/fXX1zsWCARUUFAgr9dreC8AAADQUpWXl9f75/T0dNmb+F3YhYWFevXVV7Vq1aozfi+/+uqrtXXrVj355JPf+g7y5557TgkJCfX3v/a6gma/DslPGQ4ACD/KcAAAAKAF6tmzp9q3b1/v2N69e7V48WLDO9u1ayeXy1XvEZCStGfPHlVV8XhDAAAAtE2VlZUKBoN1/xwREaH09PQmz+H3+7V69Wq98sor8ng8p52PjIzUI488oh07dpz2C67/MnLkSN100031jlUVF6tyeyO8OsXGW1oBAOHH30bNTN++fZv8twoBAK2fz+c77Z2g/fr1O63wAtAyWCyW0/7/t7KyUrm5ufIbvJsjIiJCLpdL8fHx9Y77/X6lpKQoJSXFcF4AzQPfBwAAMC4YDMpisdT9s9PplNvtDkuW8vJyzZo1S1lZWRo7duxpd3mnpaVp8eLFWrhwoe6//37t3r1bkmS32/XKK6/U+2ygtlbbf/XrRsmZmpGujgMGNMpuAEDL4PV6tXPnzrBm4N94m5mIiAjKcABAk+DvHKD18Pl8ys3N1YkTJwzvmDhxorp3737acZvNdto7yQG0HnwfAADAGIfDIYvFUu+O8aa2a9cuFRQUaMSIERo2bNhp39tvuOEGXXPNNXriiSf0/PPP6yc/+YmysrLqfabozbfkLa9olHxxPXrwPQMA2rhw/j35LzwmHQAAAGjhFi1apH379hmev+KKK3ThhReamAgAAABo3eLi4prF05O8Xq8+/vhj/elPf1JxcfFp52NjY/X0009ry5Yt+uUvf1nv3HFPng4sW9EouSwREYpLS22U3QAAnA/KcAAAAKAF+/zzz7V161bD8w6HQ6NGjTIxEQAAANA2OJ3OcEeoc+TIEf31r3/VvHnzzvjEqKysLMXGxtb9czAQUOFrr0uBQKPkie3VU1buCgcANAOU4QAAAEAL5fF4tHLlSsPznTt31pQpU+q9+xAAAADAuWkOd4b/p61bt+rVV1/V0aNHz/q5A0s/0on8gkbLEZ+R0Wi7AQA4H5ThAAAAQAt0+PBhvffee4bfvRQTE6OZM2cqKirK5GQAAABA23Ds2LFwRzhNRESEJk+erKSkpJCfqS0v1+6/z2rUHB0uGtSo+wEAOFcR4Q4AAAAA4PycPHlSs2bNUm1traF5q9Wq6dOnKzEx0eRkAAAAQOvn9Xq1Y8cOrVjROO/bNioqKkozZ85Uamr9d3UHvF4FfT7ZYmIU8PmU/8dX5a+qarQc9sQOShp6aaPtBwDgfFCGAwAAAC1IIBDQnDlzGnQXypgxY9S7d28TUwEAAACtW1VVlTwej9xutwoLC+X1esMdqZ6YmBjdfPPN6t69e73jvupq7XziaVUVF6t93yydLC3VqQMHGzVL12uvkTWC6gEA0DzwNxIAAADQgnz00UcqKioyPD948GANGTLExEQAAABA63To0KG6Ary0tNTwK4oaW3x8vG655RYlJyfXO+49flw7Hnui7t3gxzZ80/hhrFZ1GXNN418HAIBzRBkOAAAAtBDffPONvv76a8Pzqampuu6660xMBAAAALQegUBAu3fvrivAm+M7wf9TQkKCbrnlFnXs2LHe8dpjx7T9V79W9e49TZonedRVivqPLAAAhBNlOAAAANAC7N69Wx988IHh+Q4dOmjGjBmy2WwmpgIAAABatlOnTik/P18ej0d5eXk6depUuCOds6SkJN16661KSEiod7zm8GFte/Rxndq3v0nzRCYlqff3vtuk1wQA4NtQhgMAAADNXHl5uWbPnq1AIGBo3m63y+VyKTY21uRkAAAAQMtTXl4ut9stt9ut3bt3G/6eHU7Jycm65ZZbFB8fX+/4yX37tf3Rx1Vz+HCTZ8q4925F/EceAADCjTIcAAAAaMZqa2uVk5Oj6upqwzsmT56sLl26mJgKAAAAaFlKS0vrCvBDhw6FO06DdO/eXTfffLNiYmLqHa8q3q3tj/1a3mPlTZ6p88irlHTJ4Ca/LgAA34YyHAAAAGjGFixYoIMHDxqev+qqq9S3b18TEwEAAADNn8/nU2Fhodxutzwej06cOBHuSKZITU3VzJkzFRUVVe/48bx87Xj8CfmON/2fMz4zUxl3fb/JrwsAwLmgDAcAAACaqU8++UQ7d+40PN+vXz9deeWVJiYCAAAAmq+qqip5PB653W4VFhbK6/WGO5KpMjIylJ2dLbvdXu94xfYd2vnEU/KfPNnkmWJTe6nfo4/I9h93qQMA0FxQhgMAAADN0I4dO/Tpp58anu/atasmTZpkYiIAAACg+Tl06FBdAV5aWqpgMBjuSI2ib9++mjp1qmw2W73jAZ9Pu//+bliK8PjMTPV79BHZ27dr8msDAHCuKMMBAACAZubAgQNasGCB4fm4uDi5XK7T7hgBAAAAWrpAIKDdu3fXFeDHjh0Ld6RGN3DgQE2cOFFWq/W0c9aICF3w6CMqeO0NHV71SZNl6jzyKmXc9X3uCAcANHstsQw/LKlWUqSk0jBnAQAAAExVVVWlnJwcw490tNlsmjFjhhISEkxOBgAAAIRHTU2N8vLy5PF4lJeXp1OnToU7UpO55JJLNH78+LN+xhYTI8cD96nT8GHKf/lP8jbiLwjYExPV5967lXTpJY12DQAAzNTiynC3271dUlS4cwAAAABm8/v9mj17tioqKgzvGD9+vHr16mViKgAAAKDplZeX1939XVxcrEAgEO5IISUlJalz5846cOBAg77L/6fhw4fr6quvPvccl16ii//4BxW99VcdWvmJZOb/Zlarkkddpd7f+64i4uPN2wsAQCNrcWU4AAAA0Fp98MEH2rNnj+H5oUOH6qKLLjIxEQAAANB0SktL5Xa75Xa7dejQoXDHCclisahHjx5yOp1yOp3q1KmTpP/95da3335be/fubfA1Ro4cqREjRpz3XER8vDLvu1e9Zrp0cNlyHVi2XN5j5YZz2BM7qOu116jLmGsU1bGj4T0AAIQLZTgAAADQDHz11VfauHGj4fn09HRde+21JiYCAAAAGpfP51NhYaHcbrc8Ho9OnDgR7kgh2e12ZWRkyOl0yuFwKDY29rTP2Gw2jRgxQu+++26DrjV27FgNHTq0QTuiOnVUrxtd6jFjmo5+tU7lGzfpREGBqveUKOjzhZyzREQotldPxWdkqMNFg5Q09FJZI6gRAAAtF3+LAQAAAGFWWFiojz76yPB8UlKSpk2bJqvVamIqAAAAwHxVVVV1jz8vLCyU1+sNd6SQ2rVrV1d+9+7dWxHnUAr37t1bdrvd0J/LYrFowoQJpj7tyRoRoU7Dh6nT8GGSpIDXq4r8AuV9/bWCXp/k90m2CKVmpCuuRw/FpaXKarebdn0AAMKNMhwAAAAIo6NHj2rOnDkKBoOG5qOiouRyuRQTE2NyMgAAAMAchw8frnv8eWlpqeHvvk2ha9eudQV49+7dz3s+IiJCGRkZ2rVr13nNWa1WTZ48Wf379z/va57Xdex2xffJkK26qt7xjgMGyE4JDgBohSjDAQAAgDCpqanRrFmzdOrUKUPzFotFU6dOVefOnU1OBgAAABgXCAS0Z8+eusefHz16NNyRQrLZbEpLS6srwBMSEhq80+FwnFcZHhERoenTp8vhcDT42gAAoD7KcAAAACAMgsGg3nvvPR05csTwjtGjRyszM9PEVAAAAIAxNTU1ysvLk8fjUV5enuFf+GwKMTExyszMlMPhUJ8+fRQVFWXqfofDIYvFck53wNvtds2cOVO9e/c2NQMAAPhflOEAAABAGHz88cfKy8szPD9gwAANHz7cxEQAAADA+SkvL697/3dxcbECgUC4I4WUlJRUd/d3r169ZLVaG+1acXFx6tGjh0pKSs76uejoaN14443q2bNno2UBAKCtowwHAAAAmtiWLVu0Zs0aw/MpKSmaMGGCiYkAAACAc1NaWlpXgB88eDDccUKyWCzq0aNHXQHe1K8WcjqdZy3DY2NjdfPNN6tbt25NmAoAgLaHMhwAAABoQqWlpVq8eLHh+Xbt2ik7O1sREXyVBwAAQOPz+XwqLCyUx+ORx+PR8ePHwx0pJLvdroyMDDmdTmVmZiouLi5sWRwOh1asWHHGc+3atdMtt9zS5AU9AABtET9BAwAAAJrI8ePHlZubK5/PZ2g+IiJC2dnZateuncnJAAAAgP9TVVVVV34XFBTI6/WGO1JI7dq1k8PhkNPpVO/evZvNL4127txZSUlJOnr0aL3jHTp00K233qrExMQwJQMAoG1pHt8MAAAAgFbO5/MpNze3QXfSTJgwQSkpKSamAgAAAP7X4cOH5Xa75Xa7VVpaqmAwGO5IIXXp0kVOp1NOp1Pdu3cPd5yQHA6H1q5dW/fPnTp10q233sovtwIA0IQowwEAAIAmsHjxYpWWlhqeHz58uAYMGGBiIgAAALRlgUBAe/bskdvtlsfjOe0O5ubEZrMpLS2t7g7whISEcEc6J06ns64M79q1q26++eawProdAIC2iDIcAAAAaGRr1qzRli1bDM87HA6NHj3axEQAAABoi2pqapSfny+32638/HydPHky3JFCiomJUWZmphwOh/r06aOoqKhwRzpvvXr1UkxMjDp27KibbrpJ0dHR4Y4EAECbQxkOAAAANCKPx6OPP/7Y8Hznzp01ZcoUWSwWE1MBAACgraioqKh7/Pnu3bvl9/vDHSmkpKQkOZ1OORwO9erVS1arNdyRGsRqtWr06NG68MILFRkZGe44AAC0SZThAAAAQCM5fPiw5s2bZ/h9izExMXK5XC3yLhgAAACET2lpqTwej9xutw4ePBjuOCFZLBb16NGjrgDv3LlzuCOZbvDgweGOAABAm0YZDgAAADSCkydPKicnRzU1NYbmrVarpk2bpqSkJJOTAQAAoLXx+XwqLCyUx+ORx+PR8ePHwx0pJLvdroyMDDkcDjkcDt6hDQAAGhVlOAAAAGCyQCCguXPn6ujRo4Z3jBkzRunp6SamAgAAQGtSVVVVV34XFBTI6/WGO1JI7dq1qyu/09PTFRHBj6UBAEDT4FsHAAAAYLJly5apsLDQ8PzFF1+sIUOGmJgIAAAArcHhw4frHn++d+9ew6/jaQpdunSR0+mU0+lU9+7dwx0HAAC0UZThAAAAgIm++eYbffXVV4bne/XqpXHjxpmYCAAAAC1VIBDQnj176grwhjx5qLHZbDalpqbWFeAJCQnhjgQAAEAZDgAAAJhlz549+vDDDw3PJyQkaMaMGbLZbCamAgAAQEtSU1Oj/Px8ud1u5efn6+TJk+GOFFJ0dLQyMzPldDrVp08fRUVFhTsSAABAPZThAAAAgAkqKio0e/Zs+f1+Q/N2u10ul0txcXEmJwMAAEBzV1FRIbfbLbfbrd27dxv+TtkUkpKS5HA45HQ61atXL1mt1nBHAgAACIkyHAAAAGig2tpa5eTkqKqqyvCOyZMnq2vXriamAgAAQHO2b9++ugL84MGD4Y4TksViUY8ePeR0OuVwONS5c+dwRwIAADhnlOEAAABAAy1cuFAHDhwwPH/llVeqb9++JiYCAABAc+Pz+VRUVCS32y2Px6Pjx4+HO1JIdrtdGRkZcjgccjgcPL0IAAC0WJThAAAAQAN8+umn2rFjh+H5vn376qqrrjIvEAAAAJqN6upqeTweud1uFRQUyOv1hjtSSPHx8XV3f6enpysigh8dAwCAlo9vNAAAAIBBO3fu1CeffGJ4vkuXLpo0aZJ5gQAAABB2hw8frivA9+7dq2AwGO5IIXXp0qWuAE9JSQl3HAAAANNRhgMAAAAGHDx4UPPnzzc8HxsbK5fLpcjISBNTAQAAoKkFAgHt2bOnrgA/evRouCOFZLValZaWVleAd+jQIdyRAAAAGhVlOAAAAHCeqqqqNGvWLMOPubRarcrOzuaHjwAAAC1UTU2N8vPz5fF4lJeXp5MnT4Y7UkjR0dHKzMyUw+FQZmamoqKiwh0JAACgyVCGAwAAAOfB7/dr9uzZqqioMLxj/Pjx6tWrl4mpAAAA0NgqKirq7v4uLi6W3+8Pd6SQEhMT5XQ65XQ61atXL1mt1nBHAgAACAvKcAAAAOA8fPjhh9qzZ4/h+SFDhujiiy82MREAAAAay759++R2u+XxeHTgwIFwxwnJYrEoJSWlrgDv3LlzuCMBAAA0C5ThAAAAwDn6+uuv9c033xie7927t8aMGWNiIgAAAJjJ5/OpqKiorgA/fvx4uCOFZLfblZ6eXvf+77i4uHBHAgAAaHYowwEAAIBzUFRUpI8++sjwfFJSkqZPn84jKgEAAJqZ6urqusefFxYWqra2NtyRQoqPj68rv9PT0xURwY93AQAAzoZvSwAAAMC3OHr0qObMmaNAIGBoPioqSi6XSzExMSYnAwAAgBFHjhyR2+2W2+3W3r17FQwGwx0ppC5dutQV4CkpKeGOAwAA0KJQhgMAAABnUVNTo5ycHJ08edLQvMVi0ZQpU3hvIwAAQBgFAgGVlJTUPf68rKws3JFCslqtSktLqyvAO3ToEO5IAAAALRZlOAAAABBCMBjUvHnzdPjwYcM7Ro0aJYfDYWIqAAAAnIuamhoVFBTI7XYrLy/P8C83NoXo6GhlZmbK4XAoMzNTUVFR4Y4EAADQKlCGAwAAACGsXLlSHo/H8PyFF16oK664wsREAAAAOJuKioq6938XFxfL7/eHO1JIiYmJdXd/p6amymq1hjsSAABAq0MZDgAAAJzB1q1b9fnnnxue7969uyZOnGhiIgAAAJzJvn376grwAwcOhDtOSBaLRSkpKXUFeHJycrgjAQAAtHqU4QAAAMB/2LdvnxYtWmR4Pj4+Xi6XSxERfN0GAAAwm8/nU1FRkTwejzwejyorK8MdKSS73a709PS6AjwuLi7ckQAAANoUfjoHAAAA/Jvjx48rJydHPp/P0HxERIRcLpfatWtncjIAAIC2q7q6uq78LigoUG1tbbgjhRQfHy+HwyGn06n09HR+QRIAACCM+CYGAAAA/JPP51Nubq6OHz9ueMeECROUkpJiYioAAIC26ciRI3K73XK73dq7d6+CwWC4I4WUnJwsp9Mpp9PJd0EAAIBmhDIcAAAA+KfFixertLTU8Pzll1+uAQMGmJgIAACg7QgEAiopKZHb7ZbH41FZWVm4I4VktVqVmppaV4B36NAh3JEAAABwBpThAAAAgKQvvvhCW7ZsMTyfmZmpq6++2sREAAAArV9tba3y8/PldruVl5enkydPhjtSSNHR0crMzJTD4VCfPn0UHR0d7kgAAAD4FpThAAAAaPPy8vK0YsUKw/OdOnXS1KlTZbFYTEwFAADQOlVWVtY9/ry4uFh+vz/ckUJKTEyU0+mUw+FQamqqrFZruCMBAADgPFCGAwAAoE07cuSI3nvvPcPvoIyOjpbL5VJUVJTJyQAAAFqP/fv31xXgBw4cCHeckCwWi1JSUuoK8OTk5HBHAgAAQANQhgMAAKDNOnnypGbNmqWamhpD8xaLRdOmTVPHjh1NTgYAANCy+Xw+FRUVyePxyOPxqLKyMtyRQrLb7UpPT5fT6VRmZqbi4+PDHQkAAAAmoQwHAABAmxQIBDR37lwdPXrU8I4xY8YoIyPDxFQAAAAtV3V1dV35XVBQoNra2nBHCik+Pl4Oh0MOh0Pp6emy2+3hjgQAAIBGQBkOAACANmnZsmUqLCw0PH/RRRdp6NChJiYCAABoecrKyuoef15SUmL41TNNITk5ue7x5z169Ah3HAAAADQBynAAAAC0ORs3btRXX31leL5nz54aP368iYkAAABahkAgoJKSEnk8HrndbpWVlYU7UkhWq1WpqalyOp1yOp3q0KFDuCMBAACgiVGGAwAAoE0pKSnRBx98YHg+ISFB2dnZstlsJqYCAABovmpra5Wfny+Px6O8vDxVV1eHO1JI0dHR6tOnj5xOp/r06aPo6OhwRwIAAEAYUYYDAACgzaioqFBubq78fr+hebvdLpfLpbi4OJOTAQAANC+VlZV1jz8vLi42/P2pKSQmJsrhcMjpdCo1NVVWqzXckQAAANBMUIYDAACgTfB6vcrJyVFVVZXhHZMmTVLXrl1NTAUAANB87N+/v64AP3DgQLjjnFWPHj3qCvDk5ORwxwEAAEAzRRkOAACANmHBggUN+qHuiBEj1K9fPxMTAQAAhJff71dRUZHcbrc8Ho8qKyvDHSkku92u9PR0OZ1OZWZmKj4+PtyRAAAA0AJQhgMAAKDVW716tXbs2GF4PisrSyNHjjQxEQAAQHhUV1crLy9PbrdbBQUFqq2tDXekkOLj4+VwOORwOJSeni673R7uSAAAAGhhKMMBAADQqu3cuVOrVq0yPN+lSxdNnjzZxEQAAABNq6ysrO7x5yUlJQoGg+GOFFJycrKcTqccDod69OgR7jgAAABo4SjD9mAzbAAAIABJREFUAQAA0GodPHhQ8+fPNzwfGxsrl8ulyMhIE1MBAAA0rkAgoJKSEnk8HrndbpWVlYU7UkhWq1Wpqal1BXhiYmK4IwEAAKAVoQwHAABAq1RdXa2cnBx5vV5D81arVTNmzFCHDh1MTgYAAGC+2tpa5efny+PxKC8vT9XV1eGOFFJ0dLT69Okjh8OhzMxMRUdHhzsSAAAAWinKcAAAALQ6fr9fs2fPVnl5ueEd48aNU2pqqompAAAAzFVZWVl393dRUZH8fn+4I4XUoUMHOZ1OOZ1O9erVSzabLdyRAAAA0AZQhgMAAKDVWbJkiXbv3m14/tJLL9XgwYNNTAQAAGCO/fv31xXg+/fvD3ecs0pJSakrwJOTk8MdBwAAAG0QZTgAAABalXXr1mnDhg2G53v37q2xY8eamAgAAMA4v9+voqIiud1ueTweVVZWhjtSSBEREUpPT697/3d8fHy4IwEAAKCNowwHAABAq1FUVKSlS5cank9MTNT06dNltVpNTAUAAHB+qqurlZeXJ7fbrYKCAtXW1oY7UkhxcXFyOBxyOp1KT0+X3W4PdyQAAACgDmU4AAAAWoVjx45pzpw5CgQChuYjIyPlcrkUExNjcjIAAIBvV1ZWJrfbLbfbrZKSEgWDwXBHCik5Obnu7u8ePXqEOw4AAAAQEmU4AAAAWryamhrNmjVLJ0+eNDRvsVg0ZcoU3mUJAACaTDAYVElJSV0BXlZWFu5IIVmtVqWmptYV4ImJieGOBAAAAJwTynAAAAC0aMFgUPPnz9fhw/+fvTuNjeO+7z/+2V0u75uiKPG+dkbxbcdxbMdOYiW+YvmQbIk02gJNG7RoWiR50hxtgCItkD4pggAN/mmfNG1aVKQlW1Ys34ly2Elsx7EdO7I9s1zeFKmDFA/xWu7xf9B22iQa2hoNOVzy/XrkcPY7v48QiCL3s7/fnPF8j927d8s0TR9TAQAA/K5kMqlEIiHLshSPx7WwsBB0JFcFBQWKxWIyDEOxWEyFhYVBRwIAAAAuGmU4AAAActrx48dlWZbn+SuuuEK33HKLj4kAAAD+1+zsrGzblmVZGhgYUDqdDjqSq8rKSmf3d0tLiyKRSNCRAAAAgEtCGQ4AAICc9etf/1ovvvii5/n6+nrdd999PiYCAACQxsfHnQJ8fHw86DiramhocArwurq6oOMAAAAAvqIMBwAAQE46efKkjh496nm+tLRUXV1dikajPqYCAABbUTqd1sDAgFOAz87OBh3JVV5entrb250CvLS0NOhIAAAAwJqhDAcAAEDOOX/+vHp7e5VKpTzNRyIRdXV1qby83OdkAABgq1hcXJRt27JtW319fUomk0FHclVSUiLDMGSaptrb2/kwIAAAALYMynAAAADklFQqpd7e3kvacXXvvfeqsbHRx1QAAGArmJyclGVZsm1bw8PDymazQUdyVVtbK9M0ZZomP/cAAABgy6IMBwAAQE45duyYRkdHPc/fdNNNuvrqq31MBAAANqtsNquRkRFZliXLsjQ5ORl0JFfhcFjNzc1OAV5VVRV0JAAAACBwlOEAAADIGT//+c/1q1/9yvN8Z2enbr/9dh8TAQCAzSaZTCqRSMiyLMXjcS0sLAQdyVVBQYFisZgMw1AsFlNhYWHQkQAAAIANhTIcAAAAOaGvr0/PP/+85/lt27bpwQcfVCgU8jEVAADYDObm5pzd3wMDA0qn00FHclVZWSnTNGUYhlpaWhSJRIKOBAAAAGxYlOEAAADY8M6ePavDhw97fi5nYWGhuru72S0FAAAcExMTTgE+Pj4edJxVNTQ0OAV4XV1d0HEAAACAnEEZDgAAgA1taWlJPT09Wl5e9jQfCoX00EMPqaamxudkAAAgl6TTaQ0ODsqyLNm2rZmZmaAjucrLy1N7e7tTgJeWlgYdCQAAAMhJlOEAAADYsDKZjA4fPqzJyUnP97jjjjvU0dHhYyoAAJArFhcXZdu2bNtWX1+fkslk0JFclZSUyDAMGYahjo4ORaPRoCMBAAAAOY8yHAAAABvW888/r0Qi4Xn+mmuu0Y033uhjIgAAsNFNTU05x58PDw97fszKeqitrXV2fzc2NioUCgUdCQAAANhUKMMBAACwIb3xxht66aWXPM83NTVpz549PiYCAAAbUTab1cjIiGzblmVZOnv2bNCRXIXDYTU3N8s0TZmmqaqqqqAjAQAAAJsaZTgAAAA2nJGRER07dszzfHl5uQ4cOKBIJOJjKgAAsFEkk0klEgnnCPSFhYWgI7kqKChQZ2enTNNULBZTYWFh0JEAAACALYMyHAAAABvKzMyMent7lU6nPc1Ho1F1d3ertLTU52QAACBIc3NzzvHng4ODSqVSQUdyVVlZKcMwZJqmWlpa+IAeAAAAEBDKcAAAAGwYKysr6u3t1fz8vOd73H///dq5c6ePqQAAQFAmJiacAnx8fDzoOKuqr693jj+vq6sLOg4AAAAAUYYDAABgAzl69OglvdH90Y9+VJdffrmPiQAAwHpKp9MaHByUZVmybVszMzNBR3KVl5en9vZ25/jzsrKyoCMBAAAA+C2U4QAAANgQXnjhBZ04ccLz/K5du3Tbbbf5mAgAAKyHxcVFxeNxWZalRCKh5eXloCO5KikpkWEYMgxDHR0dikajQUcCAAAAsArKcAAAAATu3Xff1fHjxz3Pb9++XXv37vUxEQAAWEtTU1PO8ecjIyPKZDJBR3JVW1sr0zRlGIYaGxsVCoWCjgQAAADgfaIMBwAAQKBOnz6tI0eOeJ4vLi7Www8/rPz8fB9TAQAAP2WzWY2MjMi2bVmWpbNnzwYdyVU4HFZzc7NTgFdXVwcdCQAAAIBHlOEAAAAIzMLCgg4ePKhkMulpPhwOa//+/aqsrPQ5GQAAuFTJZFKJREK2bcu2bS0sLAQdyVVBQYE6OztlGIZisZiKioqCjgQAAADAB5ThAAAACEQ6ndahQ4c0PT3t+R533323Wltb/QsFAAAuydzcnLP7e2BgQKlUKuhIrioqKpzd362trYpEIkFHAgAAAOAzynAAAAAE4plnntHg4KDn+euvv17XX3+9f4EAAIAnExMTTgF+8uTJoOOsqr6+XqZpyjRN1dXVBR0HAAAAwBqjDAcAAMC6e/XVV/Xqq696nm9tbdXdd9/tYyIAAPB+pdNpDQ4OOgX4zMxM0JFc5eXlqa2tzdkBXlZWFnQkAAAAAOuIMhwAAADranBwUE8//bTn+crKSu3fv1/hcNjHVAAAYDWLi4uKx+OyLEuJRELLy8tBR3JVUlKiWCwm0zTV0dGhaDQadCQAAAAAAaEMBwAAwLo5d+6cDh06pEwm42k+Pz9fDz/8sIqLi31OBgAAftvU1JQsy5JlWRoZGfH87/d6qK2tlWEYMk1TjY2NCoVCQUcCAAAAsAFQhgMAAGBdJJNJ9fT0aGFhwfM99u3bp+3bt/uYCgAA/I9sNqvR0VGnAD979mzQkVyFw2E1Nzc7x59XV1cHHQkAAADABkQZDgAAgHXx2GOP6fTp057nd+/eLdM0fUwEAABWVlaUSCRkWZbi8bjm5+eDjuSqoKBAnZ2dMgxDsVhMRUVFQUcCAAAAsMFRhgMAAGDNHT9+XJZleZ6/4oordOutt/qYCACArWtubk62bcuyLA0MDCiVSgUdyVVFRYWz+7u1tVWRSCToSAAAAAByCGU4AAAA1tSJEyf0wgsveJ7fuXOn7rvvPh8TAQCw9UxMTDgF+MmTJ4OOs6r6+nqnAN+xY0fQcQAAAADkMMpwAAAArJnx8XE9/vjjnudLS0vV3d2taDTqYyoAADa/dDqtwcFBpwCfmZkJOpKrvLw8tbW1OQV4WVlZ0JEAAAAAbBKU4QAAAFgT58+fV09Pj+ejVyORiLq6ulReXu5zMgAANqfFxUXF43HZtq2+vj4tLy8HHclVSUmJYrGYTNNUe3u78vPzg44EAAAAYBOiDAcAAIDv0um0ent7NTs76/kee/bsUWNjo4+pAADYfKamppzd38PDw8pkMkFHcrVt2zaZpinTNNXY2KhQKBR0JAAAAACbHGU4AAAAfHfs2DGNjo56nr/xxht1zTXX+JgIAIDNIZvNanR0VJZlybIsnT17NuhIrkKhkJqbm50CvLq6OuhIAAAAALYYynAAAAD46qWXXtIbb7zheb6zs1O33367j4kAAMhtKysrSiQSsixL8Xhc8/PzQUdyVVBQoI6ODpmmqVgspqKioqAjAQAAANjCKMMBAADgm0Qioeeee87zfE1NjR588EGFw2EfUwEAkHvm5uac488HBgaUSqWCjuSqoqJCpmnKMAy1trYqEokEHQkAAAAAJFGGAwAAwCeTk5M6fPiwstmsp/nCwkJ1d3ersLDQ52QAAOSGU6dOOcefnzx5Mug4q6qvr3cK8B07dgQdBwAAAAAuiDIcAAAAl2xpaUkHDx7U0tKSp/lQKKQHH3xQ27Zt8zkZAAAbVzqd1tDQkCzLkm3bmp6eDjqSq7y8PLW1tTkFeFlZWdCRAAAAAOA9UYYDAADgkmSzWT366KOanJz0fI/bb79dnZ2dPqYCAGBjWlxcVDwel23b6uvr0/LyctCRXBUXF8swDBmGoY6ODuXn5wcdCQAAAAAuCmU4AAAALsnzzz+vvr4+z/NXX321brrpJh8TAQCwsZw7d845/nx4eFiZTCboSK62bdvm7P5uampSKBQKOhIAAAAAeEYZDgAAAM/eeOMN/fznP/c839jYqD179viYCACA4GWzWY2Ojsq2bVmWpTNnzgQdyVUoFFJzc7NM05Rpmqqurg46EgAAAAD4hjIcAAAAnoyOjurYsWOe58vLy9XV1aW8PH4kBQDkvpWVFSUSCdm2Ldu2NT8/H3QkV/n5+ers7JRpmorFYioqKgo6EgAAAACsCd55BAAAwEWbnZ1Vb2+v0um0p/m8vDx1dXWptLTU52QAAKyfubk5p/zu7+9XKpUKOpKriooKGYYh0zTV2tqqSCQSdCQAAAAAWHOU4QAAALgoKysr6u3t1fnz5z3f4/7771d9fb2PqQAAWB+nTp1ynv998uTJoOOsaufOnc7x5zt27Ag6DgAAAACsO8pwAAAAXJTvfe97l/Tm/6233qorrrjCx0QAAKyddDqtoaEhWZYl27Y1PT0ddCRXeXl5amtrk2EYMgxD5eXlQUcCAAAAgEBRhgMAAOB9e+GFF/TrX//a87xpmtq9e7ePiQAA8N/S0pLi8bgsy1JfX5+Wl5eDjuSquLjYKb87OjqUn58fdCQAAAAA2DAowwEAAPC+WJal48ePe57fvn279u7d62MiAAD8c+7cOef48+HhYWUymaAjudq2bZtM05RhGGpqalIoFAo6EgAAAABsSJThAAAAeE+nT5/WY4895nm+qKhI3d3dKigo8DEVAACXZmRkRLZty7IsnTlzJug4rkKhkJqbm50CvKamJuhIAAAAAJATKMMBAACwqoWFBfX09CiZTHqaD4fDOnDggKqqqnxOBgDAxVlZWVEikZBt27JtW/Pz80FHcpWfn6/Ozk7nCPSioqKgIwEAAABAzqEMBwAAgKtMJqNDhw7p3Llznu9x1113qbW11b9QAABchPPnzzu7v/v7+5VKpYKO5KqiokKGYcg0TbW2tioSiQQdCQAAAAByGmU4AAAAXD3zzDMaHBz0PH/99dfrQx/6kH+BAAB4H06dOuUU4GNjY0HHWdXOnTtlmqZM09SOHTuCjgMAAAAAmwplOAAAAC7ol7/8pX7xi194nm9padFdd93lYyIAAC4snU5raGjIKcCnp6eDjuQqEomora3Nef53eXl50JEAAAAAYNOiDAcAAMDvGBoa0lNPPeV5vrKyUgcOHOB4VwDAmllaWlI8HpdlWerr69Py8nLQkVwVFxcrFovJNE11dHQoPz8/6EgAAAAAsCVQhgMAAOA3TE9P65FHHlEmk/E0n5+fr+7ubhUXF/ucDACw1Z07d06WZcmyLA0PD3v+t2o91NTUOMefNzU1KRQKBR0JAAAAALYcynAAAAA4ksmkDh48qIWFBc/32Lt3r+rq6nxMBQDYykZHR50C/MyZM0HHcRUKhdTc3Owcf15TUxN0JAAAAADY8ijDAQAA4Dhy5IhOnz7tef62227Trl27fEwEANhqVlZW1N/fL8uyZNu25ufng47kKj8/X52dnTIMQ4ZhqKioKOhIAAAAAID/gzIcAAAAkqQf/vCHevfddz3PX3755froRz/qYyIAwFZx/vx52bYty7LU39+vVCoVdCRX5eXlzu7vtrY2RSKRoCMBAAAAAFxQhgMAAEAnTpzQT37yE8/zO3fu1P333+9jIgDAZnfq1CmnAB8bGws6zqp27tzpFOA7d+4MOg4AAAAA4H2iDAcAANjixsfHdfToUc/zJSUl6urqUjQa9TEVAGCzyWQyGhwcdArw6enpoCO5ikQiamtrcwrw8vLyoCMBAAAAADygDAcAANjC5ufn1dPTo5WVFU/zkUhEXV1dqqio8DkZAGAzWFpaUjwel23b6uvr09LSUtCRXBUXFysWi8k0TXV0dCg/Pz/oSAAAAACAS0QZDgAAsEWl02n19vZqdnbW8z3uueceNTU1+ZgKAJDrzp075+z+HhoaUiaTCTqSq5qaGpmmKdM01dTUpFAoFHQkAAAAAICPKMMBAAC2qCeffFIjIyOe52+88UZde+21PiYCAOSq0dFRpwA/ffp00HFchUIhNTU1OQV4TU1N0JEAAAAAAGuIMhwAAGALeumll/T66697nu/o6NDtt9/uYyIAQC5ZWVlRf3+/LMtSPB7X+fPng47kKj8/Xx0dHTJNU7FYTMXFxUFHAgAAAACsE8pwAACALSaRSOi5557zPF9dXa2HHnpI4XDYx1QAgPVSVFSkiooKVVZWKhqNvu+58+fPO7u/+/v7lUql1jDlpSkvL5dhGDJNU62trcrL4+0PAAAAANiK+G0QAABgC5mcnNThw4eVzWY9zRcUFOjhhx9WYWGhz8kAAGstHA7riiuuUEFBwfueOX36tCzLkmVZGhsbW8N0l27nzp0yTVOGYWjnzp1BxwEAAAAAbACU4QAAAFvE8vKyenp6tLS05Gk+FArpwQcf1LZt23xOBgBYD5FIRJFIZNXXZDIZDQ4OyrZt2batc+fOrVO6ixeJRNTW1uYU4OXl5UFHAgAAAABsMJThAAAAW0A2m9Xhw4d19uxZz/f45Cc/qVgs5mMqAMBGsLS0pHg8Ltu21dfX5/lDU+uhuLhYsVhMhmGos7NT+fn5QUcCAAAAAGxglOEAAABbwPe//3319fV5nr/66qt18803+5gIABCk6elp5/jzoaEhZTKZoCO5qqmpcXZ/NzU1KRwOBx0JAAAAAJAjKMMBAAA2uV/96lf62c9+5nm+oaFBe/bs8TERACAIo6Ojsm1blmXp9OnTQcdxFQqF1NTUJNM0ZZqmampqgo4EAAAAAMhRlOEAAACb2OjoqJ544gnP82VlZerq6lJeHj82AkCuWVlZUX9/v/P87/PnzwcdyVV+fr46OjpkmqZisZiKi4uDjgQAAAAA2AR4VxMAAGCTmp2dVW9vr9LptKf5vLw8dXd3q6yszOdkAIC1cv78ecXjcVmWpf7+fq2srAQdyVV5ebkMw5BpmmptbeWDVwAAAAAA3/GbJgAAwCaUSqXU29t7SbsA77vvPtXX1/uYCgCwFk6fPu08/3tsbCzoOKvasWOHc/z5zp07g44DAAAAANjkKMMBAAA2oe9973s6efKk5/lbbrlFV155pY+JAAB+yWQyGhoakmVZsm1b586dCzqSq0gkotbWVqcALy8vDzoSAAAAAGALoQwHAADYZF588UW99dZbnucNw9Du3bt9TAQAuFRLS0vq6+uTZVnq6+vT0tJS0JFcFRUVyTAMGYahjo4OFRQUBB0JAAAAALBFUYYDAABsIrZt6/jx457na2trtW/fPoVCIR9TAQC8mJ6edo4/HxoaUiaTCTqSq5qaGpmmKcMw1NTUpHA4HHQkAAAAAAAowwEAADaLM2fO6NFHH1U2m/U0X1RUpIcffpgdfAAQoNHRUdm2LcuydPr06aDjuAqFQmpqanIK8G3btgUdCQAAAACA30EZDgAAsAksLi7q4MGDSiaTnubD4bD279+vqqoqn5MBAFazsrKi/v5+2bYt27Z1/vz5oCO5ys/PV0dHh3MEenFxcdCRAAAAAABYFWU4AABAjstkMjp06JDOnTvn+R533nmn2trafEwFAHAzPz/v7P7u7+/XyspK0JFclZeXO+V3W1ub8vJ4GwEAAAAAkDv4LRYAACDHPfvssxoYGPA8/8EPflA33HCDj4kAAL/t9OnTTgE+Njbm+ZEW62HHjh0yTVOmaWrnzp1BxwEAAAAAwDPKcAAAgBz22muv6ZVXXvE839LSorvvvtvHRAAA6b9O7RgaGnIK8Es5vWOtRSIRtba2Os//rqioCDoSAAAAAAC+oAwHAADIUUNDQ3ryySc9z1dWVurAgQOKRCI+pgKArWtpaUl9fX2ybVvxeFxLS0tBR3JVVFSkWCwm0zTV0dGhgoKCoCMBAAAAAOA7ynAAAIAcND09rUceeUSZTMbTfDQaVXd3t4qLi31OBgBby/T0tCzLkmVZGhoa8vx9eT1UV1c7x583NTUpHA4HHQkAAAAAgDVFGQ4AAJBjksmkenp6tLCw4Pkee/fuVV1dnY+pAGDrGBsbcwrw06dPBx3HVSgUUlNTkwzDkGma2rZtW9CRAAAAAABYV5ThAAAAOebxxx/XqVOnPM9//OMf1wc+8AEfEwHA5pZKpdTf3y/LsmTbts6fPx90JFf5+fnq6OiQYRgyDIMTQAAAAAAAWxplOAAAQA750Y9+pHfeecfz/GWXXaaPfexjPiYCgM1pfn5etm3Lsiz19/drZWUl6EiuysrKZJqmDMNQW1ub8vLe36/66XRaoVCI49IBAAAAAJsWZTgAAECOePvtt/XjH//Y8/yOHTv0wAMP+JgIADaX06dPOwX42NiYstls0JFc7dixwynA6+vr3/dcMpnUzMyMpqenNTc3pyuvvJIyHAAAAACwaVGGAwAA5ICJiQk9/vjjnudLSkrU3d2taDTqYyoAyG2ZTEZDQ0NOAX7u3LmgI7mKRCJqbW11CvCKioqLvkcqldJbb721BukAAAAAANiYKMMBAAA2uPn5efX09Hg+ojcSiejAgQOeihMA2GyWl5cVj8dl27bi8biWlpaCjuSqqKhIsVhMpmmqo6NDBQUFl3S/jbzTHQAAAACAtUAZDgAAsIGl02k98sgjmpmZ8XyPe+65R83NzT6mAoDcMj097ez+HhwcVCaTCTqSq+rqapmmKdM01dTUxBHmAAAAAABcAspwAACADezJJ5/U8PCw5/kPf/jDuvbaa31MBAC5YWxszCnAT506FXQcV6FQSI2NjU4Bvm3btqAjAQAAAACwaVCGAwAAbFAvv/yyXn/9dc/z7e3tuuOOO3xMBAAbVyqVUn9/vyzLkm3bOn/+fNCRXEWjUXV0dDjP/y4uLg46EgAAAAAAmxJlOAAAwAbU39+vZ5991vN8dXW1HnroIY7XBbCpzc/PO7u/+/v7tbKyEnQkV2VlZTIMQ6Zpqq2tTXl5/DoOAAAAAMBa47dvAACADWZqakqHDx9WNpv1NF9QUKDu7m4VFRX5nAwAgnfmzBlZliXLsjQ2Nub5e+V62LFjh7P7u76+Pug4AAAAAABsOZThAAAAG8jy8rIOHjyoxcVFT/OhUEgPPvigamtrfU4GAMHIZDIaHh52jj+fmpoKOpKrSCSi1tZWpwCvqKgIOhIAAAAAAFsaZTgAAMAGkc1m9eijj+rs2bOe7/GJT3xCsVjMx1QAsP6Wl5cVj8dl27bi8biWlpaCjuSqqKhIsVhMhmGos7NTBQUFQUcCAAAAAAD/jTIcAABgg/jBD36geDzuef6qq67SRz7yER8TAcD6mZ6edp7/PTg4qEwmE3QkV9XV1c7u7+bmZoXD4aAjAQAAAACAC6AMBwAA2ADefPNN/fSnP/U839DQoHvvvdfHRACw9sbGxpwC/NSpU0HHcRUKhdTY2OgU4DyKAhfrxz/+sf7kT/7kgte+/OUv69Of/vQ6JwIAAACArYEyHAAAIGBjY2N64oknPM+XlZWpq6tLeXn8aAdgY0ulUurv75dt27JtW3Nzc0FHchWNRtXR0SHTNBWLxVRSUhJ0JOSwt99+2/XaZZddto5JAAAAAGBr4R1TAACAAM3Nzam3t1epVMrTfF5enrq6ulRWVuZzMgDwx/z8vFN+JxIJraysBB3JVVlZmQzDkGmaamtr40NG8I1bGR4KhSjDAQAAAGAN8Zs9AABAQFKplHp7ey9pZ+S9996rhoYGH1MBwKU7c+aMc/z56Oiostls0JFc1dXVyTRNmaap+vr6oONgkzpx4sQFv97c3MwH2gAAAABgDVGGAwAABOSJJ57Q2NiY5/mPfOQjuuqqq3xMBADeZDIZDQ8Py7Is2batqampoCO5ikQiamlpcQrwioqKoCNhk5uZmXH9955d4QAAAACwtijDAQAAAvDTn/5Ub775pud5wzD0iU98wsdEAHBxlpeX1dfXJ8uy1NfXp8XFxaAjuSoqKlJnZ6dM01RnZ6cKCgqCjoQthOeFAwAAAEBwKMMBAADWmW3b+sEPfuB5vra2Vvv27VMoFPIxFQC8t5mZGVmWJcuyNDQ0pHQ6HXQkV9XV1TJNU4ZhqLm5WeFwOOhI2KLcjkiXpMsvv3wdkwAAAADA1kMZDgAAsI7OnDmjxx57zPPzc4uKitTd3c2uRgDrZmxszHn+96lTp4KO4yoUCqmxsdEpwGtra4OOBEhiZzgAAAAABIkyHAAAYJ0sLi6qp6dHy8vLnubD4bAeeughVVdX+5wMAP5XKpVSf3+/bNuWbduam5sLOpKraDSqjo4OGYYhwzBUUlISdCTgd7iIM5LyAAAgAElEQVTtDG9oaFBVVdU6pwEAAACArYUyHAAAYB1kMhkdPnxYU1NTnu9x5513qr293cdUAPBf5ufnnfI7kUhoZWUl6EiuysrKnPK7vb1deXn8WouNa35+XsPDwxe8xq5wAAAAAFh7vGsAAACwDp577jn19/d7nr/uuut0ww03+JgIwFZ35swZ5/jz0dFRz49vWA91dXUyTVOmaaq+vj7oOMD79s477yiTyVzwGmU4AAAAAKw9ynAAAIA19tprr+nll1/2PN/c3KxPfepTPiYCsBVlMhkNDw87BfilnFSx1iKRiFpaWpwCvKKiIuhIgCerPS/88ssvX8ckAAAAALA1UYYDAACsoeHhYT311FOe5ysqKnTgwAFFIhEfUwHYKpaXl9XX1yfbthWPx7W4uBh0JFeFhYWKxWIyTVOdnZ0qKCgIOhJwySjDAQAAACBYlOEAAABrZGZmRo888ojS6bSn+Wg0qu7ubpWUlPicDMBmNjMzI8uyZFmWhoaGPH8PWg9VVVXO7u/m5maFw+GgIwG+OnHixAW/vn37dm3btm2d0wAAAADA1kMZDgAAsAaSyaR6eno0Pz/v+R4PPPCAduzY4WMqAJvVyZMnnQL81KlTQcdxFQqF1NDQ4BTgtbW1QUcC1szy8rL6+/sveI1d4QAAAACwPijDAQAA1sDRo0c1MTHhef5jH/uYLrvsMh8TAdhMUqmUBgYGZFmWbNvW3Nxc0JFcRaNRdXR0yDAMGYbBaRfYMizLUiqVuuC11crwZDKpl19+WS+++KLeffddDQ4OanZ2VsvLyyosLNSOHTvU2dmpD33oQ7rjjjtUV1e3Vn8EAAAAAMh5lOEAAAA++/GPf7zqM0Lfywc+8AF9/OMf9y8QgE1hYWFBtm3LsiwlEgmtrKwEHclVaWmpTNOUYRhqb29XXh6/emLrcTsiXdIFP/A2Njamf//3f9fhw4ddP+AyPz+vRCKhRCKhZ599Vl//+td111136fOf/7xaW1v9ig4AAAAAmwbvSAAAAPjonXfe0Y9+9CPP83V1dXrggQf8CwQgp505c8YpwEdHR5XNZoOO5Kqurs4pwBsaGoKOAwRutQ/G/d+d4efPn9e3v/1t/du//dtFf8glk8noqaee0g9+8AN98Ytf1O///u97zgsAAAAAmxFlOAAAgE9OnTqlI0eOeJ4vLi5Wd3e38vPzfUwFIJdkMhkNDw87BfjU1FTQkVyFw2G1trY6BXhlZWXQkYANxa0Mr6mp0Y4dOyRJb731lr7whS9odHT0ktZaXl7W3/3d32loaEh//dd/fUn3AgAAAIDNhDIcAADAB/Pz8zp48KDnY4vD4bC6urook4AtaHl5WX19fbJtW/F4XIuLi0FHclVYWKhYLCbDMBSLxVRQUBB0JGBDSqVSsm37gtf+54j0J598Ul/60pd8feTBd7/7XW3btk1/+qd/6ts9AQAAACCXUYYDAABconQ6rUceeUQzMzOe73HPPfeoubnZx1QANrKZmRln9/fg4KDS6XTQkVxVVVXJNE2Zpqnm5maFw+GgIwEbXl9fn5LJ5AWvXX755Xr88cf1la98RZlM5oKviUajamtrU2VlpVZWVjQ5OamxsbH39b3iH//xH3XzzTfryiuvvKQ/AwAAAABsBpThAAAAl+ipp57S8PCw5/kbbrhB1113nY+JAGxEJ0+edArwiYmJoOO4CoVCamhocArw2traoCMBOefEiROu1+bn5/XVr371d4rwgoICPfDAA7rnnnt03XXXKRqN/sb1c+fO6Yc//KH++Z//WYODg673X1lZ0V/+5V/q2LFjysvjbR8AAAAAWxu/FQEAAFyCV155Ra+99prn+ba2Nt15550+JgKwUaRSKQ0MDDgF+NzcXNCRXEWjUbW3tzvP/y4pKQk6EpDT3J4XLkn/+Z//+Ts7vO+//3598Ytf1LZt21znqqqqtG/fPu3Zs0ff+MY39J3vfMf1tQMDA3r++ed19913X3x4AAAAANhEKMMBAAA8GhgY0LPPPut5vrq6Wvv37+fIYWATWVhYcMrv/v5+12OSN4LS0lIZhiHTNNXe3s4OUsBHq+0M/79FeHFxsf7+7/9ed9111/u+d35+vr785S+roKBA//RP/+T6uu9+97uU4QAAAAC2PN7tAAAA8GBqakqHDh1yfdbneykoKFB3d7eKiop8TgZgvZ09e1aWZcmyLI2OjiqbzQYdyVVdXZ1TgDc0NAQdB9iUMpmMLMt6z9eVlJToX/7lX3TNNdd4Wufzn//8qifUvPbaaxoaGlJLS4un+wMAAADAZkAZDgAAcJGWl5fV09OjxcVFT/OhUEj79u3jObxAjspkMhoZGZFlWbJtW5OTk0FHchUOh9Xa2uocf15ZWRl0JGDTGxgY0MLCwqqviUQi+ta3vuW5CJf+6+/33/zN3+j+++93fc1rr71GGQ4AAABgS6MMBwAAuAjZbFaPPfaYzpw54/keu3fvlmEYPqYCsNaWl5eVSCRkWZbi8bjnD8Osh8LCQsViMRmGoc7OThUWFgYdCdhSVjsi/X987nOf080333zJa+3atUvXXnutXn/99Qtef/3117V3795LXgcAAAAAchVlOAAAwEU4fvy4bNv2PH/llVfqlltu8TERgLUyMzPjPP97cHDwN57zu9FUVVU5u79bWloUDoeDjgRsWW+//faq19vb2/XHf/zHvq23Z88e1zL8nXfe8W0dAAAAAMhFlOEAAADv01tvvaUXX3zR83x9fb3uu+8+HxMB8NvJkyedAnxiYiLoOK5CoZAaGhqcAnz79u1BRwLw396rDP+rv/orRaNR39a76qqrXK9NT0/7tg4AAAAA5CLKcAAAgPfh5MmT+t73vud5vrS0VN3d3crL48cvYCNJpVIaGBiQbduybVuzs7NBR3IVjUbV3t7uFOAlJSVBRwJwAavtxr7tttt06623+rrerl27XK/NzMz4uhYAAAAA5BrejQUAAHgPc3Nz6unpUSqV8jSfl5en7u5ulZWV+ZwMgBcLCwtO+Z1IJJRMJoOO5Kq0tFSGYcg0TbW3t/OBGmCDGxkZWfVDNZ/5zGd8XzM/P1/FxcVaWFj4nWtzc3O+rwcAAAAAuYR3UgAAAFaRSqXU29t7SW8m33vvvWpoaPAxFYCLdfbsWef485GREWWz2aAjudq+fbtM05RpmnzvAHLMiRMnXK+1trbq+uuvX5N1y8vLL1iGRyKRNVkPAAAAAHIFZTgAAMAqnnjiCY2NjXmev/nmm1d9lieAtZHJZDQyMiLLsmTbtiYnJ4OO5CocDqulpcUpwCsrK4OOBMCj1Z4X/tBDD61jkv9SXFy87msCAAAAwEZCGQ4AAODiZz/7md58803P87FYTJ/85Cd9TARgNclkUn19fbIsS/F4XIuLi0FHclVYWKjOzk6ZpqnOzk4VFhYGHQmAD9x2hofDYe3du3fN1nX7fldSUrJmawIAAABALqAMBwAAuIB4PK7vf//7nue3bdumBx98UKFQyMdUAH7b7OysLMuSZVkaHBxUOp0OOpKrqqoqmaYpwzDU0tKicDgcdCQAPnvnnXcu+PXLL79c27ZtW5M1l5aWNDMzc8Fr9fX1a7ImAAAAAOQKynAAAIDfcvbsWT366KOenylcWFio7u5uFRQU+JwMgCSNj487BfjExETQcVyFQiE1NDQ4Bfj27duDjgRgDU1MTLg+kuGmm25as3VHRkZcrzU3N6/ZugAAAACQCyjDAQAA/o+lpSUdPHhQy8vLnuZDoZAeeugh1dTU+JwM2LpSqZQGBgZk27Zs29bs7GzQkVxFo1G1t7fLNE3FYjGVlpYGHQnAOnE7Il2SrrzyykDWbWtrW7N1AQAAACAXUIYDAAD8t0wmo0OHDmlqasrzPe688051dHT4mArYmhYWFpzyO5FIKJlMBh3JVWlpqQzDkGEYam9vVzQaDToSgAC4HZEuSbt27Vqzdd98803Xa9ddd92arQsAAAAAuYAyHAAA4L8999xz6u/v9zx/7bXX6sMf/rCPiYCtZXJy0jn+fGRkxPOjCtbD9u3bnePPGxsbg44DYANw26EdDoe1c+fONVv3pz/96QW/np+fr6uuumrN1gUAAACAXEAZDgAAIOn111/Xyy+/7Hm+qalJ99xzj4+JgM0vk8loZGREtm3LsizXZ+1uBOFwWC0tLTJNU6ZpqrK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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["a = np.array([1, 2])\n", "b = np.array([2, 1])\n", "c = a - b\n", "plt.annotate('', xy=a, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=b, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=a, xytext=b, arrowprops=black)\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.plot(a[0], a[1], 'ro', ms=10)\n", "plt.plot(b[0], b[1], 'ro', ms=10)\n", "plt.text(0.35, 1.15, \"$a$\")\n", "plt.text(1.15, 0.25, \"$b$\")\n", "plt.text(1.55, 1.65, \"$a-b$\")\n", "plt.xticks(np.arange(-2, 5))\n", "plt.yticks(np.arange(-1, 4))\n", "plt.xlim(-0.8, 2.8)\n", "plt.ylim(-0.8, 2.8)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 11, "metadata": {"school_cell_uuid": "eb05fe09d12a413cb5ba659f9acd24dd"}, "outputs": [{"data": {"image/png": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["a = np.array([2, 2])\n", "b = np.array([3, 4])\n", "c = np.array([4, 1])\n", "d = a + (c - a)\n", "e = b + (c - a)\n", "plt.annotate('', xy=b, xytext=a, arrowprops=black)\n", "plt.annotate('', xy=e, xytext=d, arrowprops=black)\n", "plt.annotate('', xy=c, xytext=[0, 0], arrowprops=gray)\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.plot(a[0], a[1], 'ro', ms=10)\n", "plt.plot(b[0], b[1], 'ro', ms=10)\n", "plt.plot(c[0], c[1], 'ro', ms=10)\n", "plt.text(1.6, 1.5, \"\uc11c\uc6b8\")\n", "plt.text(2.5, 4.3, \"\ud55c\uad6d\")\n", "plt.text(3.5, 0.5, \"\ub3c4\ucfc4\")\n", "plt.text(4.9, 3.2, \"\uc77c\ubcf8\")\n", "plt.xticks(np.arange(-2, 7))\n", "plt.yticks(np.arange(-1, 6))\n", "plt.xlim(-1.4, 6.4)\n", "plt.ylim(-0.6, 5.8)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 12, "metadata": {"school_cell_uuid": "cb40f13dce6246d891a748b2eae7182e"}, "outputs": [{"data": {"image/png": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["plt.plot([0, 1], [0, 2], 'k-', lw=3)\n", "plt.plot([0, 1], [0, 0], 'k-', lw=3)\n", "plt.plot([1, 1], [0, 2], 'k-', lw=3)\n", "plt.text(0.05, 1, \"\ube57\ubcc0 h\")\n", "plt.text(0.35, -0.2, \"\ubc11\ubcc0 b\")\n", "plt.text(1.05, 1, \"\ub192\uc774 a\")\n", "plt.text(0.12, 0.06, r\"$\\theta$\")\n", "plt.xticks(np.arange(-2, 4))\n", "plt.yticks(np.arange(-1, 4))\n", "plt.xlim(-1.1, 2.1)\n", "plt.ylim(-0.5, 2.3)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 13, "metadata": {"school_cell_uuid": "e9796458a7354fa6b71df774c8a46839"}, "outputs": [{"data": {"image/png": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["x = np.linspace(0, np.pi/2, 100)\n", "y1 = np.sin(x)\n", "y2 = np.cos(x)\n", "plt.plot(x, y1, 'r--', lw=3,  label=r\"$\\sin\\theta$\")\n", "plt.plot(x, y2, 'b-', lw=3, label=r\"$\\cos\\theta$\")\n", "plt.legend()\n", "plt.xticks([0, np.pi/4, np.pi/2], [r'$0^{\\circ}$', r'$45^{\\circ}$', r'$90^{\\circ}$'])\n", "plt.xlabel(r\"$\\theta$\")\n", "plt.title(r\"$\\sin\\theta$\uc640 $\\cos\\theta$\uc758 \uadf8\ub798\ud504\")\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 14, "metadata": {"school_cell_uuid": "c8c1400a1251468caa21d87e64f44363"}, "outputs": [{"data": {"text/plain": ["0"]}, "execution_count": 14, "metadata": {}, "output_type": "execute_result"}], "source": ["a = np.array([1, 1])\n", "b = np.array([-1, 1])\n", "a @ b"]}, {"cell_type": "code", "execution_count": 15, "metadata": {"school_cell_uuid": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["a = np.array([1, 2])\n", "b = np.array([2, 0])\n", "a2 = (a @ b) / np.linalg.norm(b) * np.array([1, 0])\n", "a1 = a - a2\n", "plt.annotate('', xy=b, xytext=(0, 0), arrowprops=green)\n", "plt.annotate('', xy=a2, xytext=(0, 0), arrowprops=blue)\n", "plt.annotate('', xy=a1, xytext=(0, 0), arrowprops=blue)\n", "plt.annotate('', xy=a, xytext=(0, 0), arrowprops=red)\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.plot(a[0], a[1], 'ro', ms=10)\n", "plt.plot(b[0], b[1], 'ro', ms=10)\n", "plt.text(0.35, 1.15, \"$a$\")\n", "plt.text(1.55, 0.15, \"$b$\")\n", "plt.text(-0.5, 1.05, \"$a^{\\perp b}$\")\n", "plt.text(0.50, 0.15, \"$a^{\\Vert b}$\")\n", "plt.xticks(np.arange(-10, 10))\n", "plt.yticks(np.arange(-10, 10))\n", "plt.xlim(-1.2, 4.1)\n", "plt.ylim(-0.5, 3.2)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 16, "metadata": {"school_cell_uuid": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["v = np.array([2, 1]) / np.sqrt(5)\n", "x = np.array([1, 3])\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.annotate('', xy=v, xytext=(0, 0), arrowprops=black)\n", "plt.plot([-2, 8], [-1, 4], 'b--', lw=2)\n", "plt.plot([1, 2], [3, 1], 'g:', lw=2)\n", "plt.plot(x[0], x[1], 'ro', ms=10)\n", "plt.text(0.1, 0.5, \"$v$\")\n", "plt.text(0.6, 3.2, \"$x$\")\n", "plt.xticks(np.arange(-3, 15))\n", "plt.yticks(np.arange(-1, 5))\n", "plt.xlim(-3, 7)\n", "plt.ylim(-1, 5)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 17, "metadata": {"run_control": {"marked": false}, "school_cell_uuid": "e823acf33dd14623a3c0827ed90a1876"}, "outputs": [{"data": {"image/png": 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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["w = np.array([1, 2])\n", "x1 = np.array([3, 1])\n", "x2 = np.array([-1, 3])\n", "plt.annotate('', xy=w, xytext=(0, 0), arrowprops=black)\n", "plt.annotate('', xy=x1, xytext=(0, 0), arrowprops=green)\n", "plt.annotate('', xy=x2, xytext=(0, 0), arrowprops=green)\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.plot(w[0], w[1], 'ro', ms=10)\n", "plt.plot(x1[0], x1[1], 'ro', ms=10)\n", "plt.plot(x2[0], x2[1], 'ro', ms=10)\n", "plt.plot([-3, 5], [4, 0], 'r-', lw=5)\n", "plt.text(-0.2, 1.5, \"\ubca1\ud130 $w$\")\n", "plt.text(1.55, 0.25, \"$x_1$\")\n", "plt.text(-0.9, 1.40, \"$x_2$\")\n", "plt.text(1.8, 1.8, \"$x_1 - w$\")\n", "plt.text(-0.2, 2.8, \"$x_2 - w$\")\n", "plt.text(3.6, 0.8, \"\uc9c1\uc120 $x$\")\n", "plt.xticks(np.arange(-2, 5))\n", "plt.yticks(np.arange(-1, 5))\n", "plt.xlim(-2, 5)\n", "plt.ylim(-0.6, 3.6)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 18, "metadata": {"run_control": {"marked": false}, "school_cell_uuid": "e823acf33dd14623a3c0827ed90a1876"}, "outputs": [{"data": {"image/png": 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iyuhYVkn/9ah+fXqO/Dt1VNhtY1XHiabcAQAAAAAAbEEZDgAAAFTSCy+8UKGtp5kKd34mk0lB3cMVGN5NKfsPKHrNemWeOmV0LKukHflFvxz5RQFduyhs3Bj5tWltdCQAAAAAAIAqRRkOAAAAVMLRo0e1ZcsWm9f16dNHgwYNskMiGMFkMinoih4K7B6u5B/3K3rtOmWdiTY6llVSD/2s1EM/KzC8m0LHjZFfq5ZGRwIAAAAAAKgSlOEAAABAJTAVjr8zmc2q26ungnr2UNK+HxS9dr2yY2KNjmWVlMiDSok8qKAreih03Bj5tmhudCQAAAAAAIBKoQwHAAAAKuiPP/7Qxo0bbV535ZVXavDgwXZIBEdhMptVr09v1b2ypxL3fq+YdRuUffac0bGskvzTfiX/tF91e/VU6Ngx8mnW1OhIAAAAAAAAFWI2OgAAAKgaJpPJqmO1RcOGDa06BlTGiy++qKKiIpvXzZ492w5p4IhMLi6q37+fur79b7Wa+YA8GwUbHclqSft+1M8PPqw/XntTWdExRscBAAAAAACwGZPhAADUEO3atdM111yj9PT0v4717t3bwETGioiIUGxs7F/bV3t7e6tRo0YGp0JN8ueff2rdunU2r+vevbuuv/56OySCIzO5uKjBgKtUv19fxe/+RjHrNyr3QrzRsayStPd7JX2/T/X69VXomFHyDmlidCQAAAAAAACrUIYDAFBD+Pv7a8GCBUbHcBju7u5q0aKF0TFQg7300ksqLCy0eR1T4bWbycVFDQcNVP2r+iv+692K3bBRuQmJRscqX3GxEr/VG/yHAAAgAElEQVTdo8Tv9qp+/34KHTtKXnzACAAAAAAAODjKcAAAAMBGUVFRWrNmjc3runTpoptuuskOieBszK6uCh58jRpcfZUu7PxasRs3Ky8pyehY5SsqUsLub5Tw7R41uHqAQkePlGew82z9DgAAAAAAahfKcAAAAMBGL7/8sgoKCmxex1Q4SjK7uanR0CFqOOhqXfhyp2I2blF+SorRscpXVKT4r75Wwu5v1GDQ1QoZNVKeDRoYnQoAAAAAAOAfzEYHAAAAAJzJ6dOntWrVKpvXdezYUSNGjLBDItQEZnd3NRp2vcKXLFDzSXfLLSDA6EhWKS4s1IUvdurgtPsVtXipchOdYLodAAAAAADUGpThAAAAgA1eeeUV5efn27yOqXBYw8XDQ41vvEHhSxeq2d0T5OZfx+hIVikuKFDcZ58rcup0nVy6XLlJyUZHAgAAAAAAoAwHAAAArBUTE6OVK1favK59+/YaNWpU1QdCjeXi4aEmw29S+JKFanrn7XL18zU6klWKCwp0/tPPdPDeGTq5fIXynGHLdwAAAAAAUGNRhgMAAABWeuWVV5SXl2fzulmzZtkhDWoDFy8vhYy8ReFLFyls/Di5+PgYHckqRXl5Ov/JNkVOma5TK95Xflqa0ZEAAAAAAEAtRBkOAAAAWOHs2bN67733bF7Xpk0bjRkzxg6JUJu4ensrdPSt6r5skULHjZGLt7fRkaxSlJencx99rANTpuv0B/9RfvpFoyMBAAAAAIBahDIcAAAAsMKrr76q3Nxcm9fNmjVLZjN/7EbVcPXxUdjY0eq+bJFCRt8qFy8voyNZpSgnR2c3f6gDk+/VmdVrVZCRYXQkAAAAAABQC/BdOQAAAKAccXFxWrZsmc3rWrZsqdtuu80OiVDbufr6qun4cQpfukght46Q2dPT6EhWKcrJUeyGTToweZqi121QQWam0ZEAAAAAAEANRhkOAAAAlOO1115TTk6OzetmzZolFxcXOyQC/sutjp+a3jFe3ZcuVJNbbpbZ3d3oSFYpzMpSzNr1OjB5mmI2bFJBVpbRkQAAAAAAQA1EGQ4AAABcQnx8vJYsWWLzuhYtWuj222+3QyKgNDd/fzW7606FL1ukxjfd4DyleGamolevVeSUaYrdtEWF2dlGRwIAAAAAADUIZTgAAABwCW+88YayKjC1+tRTT8nV1dUOiYCyuQcEqPnEu9Vt8QI1HHqd5CQ7ExRczNCZVat1YMp0nf1wqwpzc42OBAAAAAAAagDKcAAAAKAMiYmJWrhwoc3rmjZtqgkTJtghEWAdj7pBajrxLnncP00u3btJZuf40q8gPV2nV36gyCnTde7jbZTiAAAAAACgUpzjOyIAAACAAd58801lZmbavO7JJ5+Um5ubHRIBtjHVqSO366+Tx33T5NKti0xOMimen5qqU++uUOTUGTq3bbuK8vKMjgQAAAAAAJwQZTgAAABgQXJyshYsWGDzupCQEN1zzz12SARUnCnAX243XK9O8+epwTUDnWZSPD8lRaeWvavIe2fo/Gc7VJSfb3QkAAAAAADgRJzjOyAAAABANZs3b54uXrxo87onnnhC7u7udkgEVJ5HwwZqdf8MdVs4X/WvHuA0pXheUrJOLl6mg9PuU9wXX6qooMDoSAAAAAAAwAk4x3c+AAAAgGqUmpqqt99+2+Z1jRs31uTJk+2QCKhaXo0aqfVD96vr2/9W/av6SyaT0ZGskpuQqKgFi3Vw+v26sPNrFRcWGh0JAAAAAAA4MMpwAAAAoISIiAilpaXZvO7xxx+Xh4eHHRIB9uEd0kStH35QXefPU72+fYyOY7XcC/E68fYCHZz+gOJ37aYUBwAAAAAAFlGGAwAAAH+Tnp6uiIgIm9cFBwdrypQpdkgE2J93WKjaPPawukS8pbq9rjQ6jtVy4uJ0/N9v6+B9Dynhmz2U4gAAAAAA4B8owwEAAIC/efvtt5WSkmLzukcffVReXl52SARUH59mTdX2ycfUed4bCurZw+g4Vss5d05/vvVvHXrgYSV+t1fFRUVGRwIAAAAAAA6AMhwAAAD4PxkZGXrrrbdsXle/fn1NmzbNDokAY/i2aK7Ln35Snd98TYHdw42OY7Xs2Fgde/0t/fzQI0ra9wOlOAAAAAAAtRxlOAAAAPB/3nnnHSUnJ9u87pFHHpG3t7cdEgHG8m15mdrNflqdXp+rgG5djY5jtawz0fpj7us6/PDjSvpxv4qLi42OBAAAAAAADEAZDgAAAEjKzMys0FR43bp1NWPGDDskAhyHX+tWav/sM+o49yX5d+5kdByrZZ46pT9enqvDjzyh5AORlOIAAAAAANQylOEAAACApEWLFikhIcHmdTNnzpSvr68dEgGOp87lbdXh+WfV4eXnVadDe6PjWC0zKkq/v/Cyjjz2lFIOHqIUBwAAAACglqAMBwAAQK2XnZ2tN954w+Z1gYGBuv/+++2QCHBs/u3bq+NLz6v9C/9SnXaXGx3HahnHj+u3517UL0/OUurhI5TiAAAAAADUcK5GBwAAAACMtmTJEl24cMHmdQ899JDq1Kljh0SAcwjo1FH+HTso7fARRa9Zp4vH/jQ6klUu/nFMR+c8pzrt2ynstrHyd6IpdwAAAAAAYD3KcAAAANRqOTk5eu2112xe5+/vrwcffNAOiQDnYjKZFNCls/w7d1LqwUOKXrteGcdPGB3LKulHf9Ovs+bIv1NHhY0b41RT7gAAAAAAoHyU4QAAAKjVli9frvPnz9u87oEHHpC/v78dEgHOyWQyKTC8mwK6dVXKgUhFr1mnzJOnjI5llbQjv+iXI78ooEtnhd02Vn5tWhsdCQAAAAAAVAHKcAAAANRaubm5mjt3rs3r/Pz8NHPmTDskApyfyWRSUI/uCuweruQff1L02vXKOn3G6FhWSf35sFJ/PqzA8K4KHTdWfq1aGh0JAAAAAABUAmU4AAAAaq333ntPZ8+etXndfffdp8DAQDskAmoOk8mkulf2VNAVPZS070fFrFuvrOgYo2NZJSXykFIiDymwR3eF3TZGvi1aGB0JAAAAAABUAGU4AAAAaqX8/PwKTYX7+vrqkUcesUMioGYymc2q16eX6vbqqcS9+xSzbr2yY23/EIoRUvYfUMr+Awq6sqfCxo2WT7NmRkcCAAAAAAA2oAwHAABArbRy5UpFR0fbvG7atGmqW7euHRIBNZvJbFb9fn1Ur/eVStizVzHrNyjn3HmjY1kl+YcflfzDj6rbp5fCxo6Wd1iY0ZEAAAAAAIAVKMMBAABQ6xQUFOiVV16xeZ23t7ceffRROyQCag+Ti4saDOiv+v36KOGbbxWzfqNy4i4YHcsqSXv3Ken7H1Svb2+Fjh0t75AQoyMBAAAAAIBLoAwHAABArbNq1SqdOnXK5nX33nuvGjRoYIdEQO1jcnFRg4FXq17/fkrYtVsxGzYpNz7B6FjlKy5W4p69Sty7T/X791XomFHyatzY6FQAAAAAAMACynAAAADUKoWFhXr55ZdtXufl5aXHHnvMDomA2s3s6qqG116j+gOuUvxXuxSzYZPykpKMjlW+oiIl7P5WCd9+pwYDrlLomFvlGRxsdCoAAAAAAPA3lOEAAACoVVavXq0TJ07YvG7y5MkKpugC7Mbs5qbg6warwaCrdeGLnYrdtEV5yclGxypfUZHiv96lhG++VYOBVytk1Eh5NmQHCQAAAAAAHIHZ6AAAAABAdSkqKtJLL71k8zoPDw898cQTdkgEoCSzm5saDRuq8CUL1HzSPXILCDA6klWKCwt14cudOjj9fkUtWqLchESjIwEAAAAAUOtRhgMAAKDWWLdunf7880+b102cOFGNeScwUK3M7u5qfOMwhS9dqGb3TJCbfx2jI1mluKBAcTu+UOS9MxS1ZJlynWHLdwAAAAAAaijKcAAAANQKFZ0Kd3d315NPPmmHRACs4eLhoSY336TwpYvUdMIdcvXzMzqSVYoLChS3fYcip87QyeXvKS8lxehIAAAAAADUOpThAAAAqBU2bdqk3377zeZ1d999t0JDQ+2QCIAtXDw9FTJi+H9L8TvGy9XX1+hIVinOz9f5Tz5V5JTpOrXifeWlphkdCQAAAACAWoMyHAAAALXCiy++aPMaNzc3PfXUU3ZIA6CiXL29FHLrCIUvXaiw28bKxcfb6EhWKcrL07mPPlbklGk6/f4q5aenGx0JAAAAAIAajzIcAAAANd6WLVv0yy+/2LzuzjvvVNOmTe2QCEBlufr4KHTMKHVfulihY0bJxcvL6EhWKcrN1dktH+nA5Gk6s2q18i9eNDoSAAAAAAA1FmU4AAAAarwXXnjB5jWurq56+umn7ZAGQFVy9fVR2G1jFb5skUJuHSGzp6fRkaxSlJOj2E1bFDlluqLXrFNBRqbRkQAAAAAAqHEowwEAAFCjbd26VT///LPN68aPH68WLVrYIREAe3Dz81PTO8ar+7JFajJiuMweHkZHskphVpZi1m/UgSn3Kmb9RhVkZRkdCQAAAACAGoMyHAAAADVaRabCXVxcNGvWLDukAWBvbnXqqNmEOxS+dKEa33yjzO7uRkeySmFmlqLXrFPklGmK3bRFBVnZRkcCAAAAAMDpUYYDAACgxvr0008VGRlp87qxY8eqVatWdkgEoLq4BwSo+T13KXzJQjW6cZhMbm5GR7JKwcUMnVm1WpFTpyt2y0cqzMkxOhIAAAAAAE6LMhwAAAA1VkWmws1ms5555hk7pAFgBPegQLWYdI/ClyxQ8PXXyeTqanQkqxSkp+vM+6sUOWW6zm79WIW5uUZHAgAAAADA6VCGAwAAoEb6/PPP9eOPP9q8bvTo0Wrbtq0dEgEwkkfdurps6mSFL35HDYcMlsnFxehIVslPS9Pp995X5NTpOvfJpyrKyzM6EgAAAAAAToMyHAAAADXS888/b/Mak8mk2bNn2yENAEfhUb++Wk6fqm6L3lGDawZJZuf4sjg/JVWnlr+nyHtn6Pz2HSrKzzc6EgAAAAAADs85vuoHAAAAbPDVV1/p+++/t3ndyJEj1a5dOzskAuBoPBs2UKv7p6vbwrfVYOAApynF85KSdXLJMkXee5/iPv+CUhwAAAAAgEtwjq/2AQAAABs899xzNq9hKhyonbwaBavVg/er2zsRqj+gv2QyGR3JKnmJiYpauEQHpz+gCzu/UlFBgdGRAAAAAABwOJThAAAAqFF2796tPXv22Lzu5ptvVqdOneyQCIAz8GrSWK1nPqiub/9b9fr1cZpSPDc+XifeXqhDMx5U/Ne7VVxYaHQkAAAAAAAcBmU4AAAAapSKvCtckubMmVPFSQA4I+/QELV59GF1iXhLdXv3MjqO1XLi4nQ84m0dvO9Bxe/+llIcAAAAAABRhgMAAKAG+e6777Rr1y6b191www3q2rWrHRIBcFY+TcPU9olH1eXfbyqo5xVGx7FazrnzOj4vQocemKmEPXtVXFRkdCQAAAAAAAxDGQ4AAIAao6JT4c8++2wVJwFQU/g0b6bLn35Cnd96XYE9uhsdx2rZsWf15xtv6ecHH1bi9/soxQEAAAAAtRJlOAAAAGqEH374QV9++aXN64YOHaru3Z2n4AJgDN/LWqjdM0+p0+tzFRjuPDtJZEXH6Nirb+jww48p6YcfVVxcbHQkAAAAAACqDWU4AAAAagTeFQ6gOvi1bqV2c55Rx1dfVkCXzkbHsVrmqdP645XXdPiRx5W8/wClOAAAAACgVqAMBwAAgNPbv3+/PvvsM5vXXXvttbryyivtkAhATVenbRu1f26OOrz8gvw7djA6jtUyo07q9xdf0ZHHnlTKwUOU4gAAAACAGs3V6AAAAABAZfGucABG8W/fTv4vPqe0X35V9Jp1Sv/td6MjWSXj+An99tyL8mvTRmG3jZF/504ymUxGxwIAAAAAoEoxGQ4AAACndujQIW3bts3mdVdffbX69Oljh0QAaiP/jh3U4eUX1P65OfJr08boOFa7eOyYjj77vH59erbSfvnV6DgAAAAAAFQpJsMBAADg1HhXOABHYTKZFNCls/w7d1LqoZ8VvWa9Mo4fNzqWVdJ/+12/PvOs/Dt2UOi4MfJv387oSAAAAAAAVBplOAAAAJzWkSNHtHXrVpvX9e/fXwMGDKj6QACg/5bigd26KqBrF6VEHlT0mnXKjDppdCyrpP3yq9J++VX+nTsp7LaxqtPWeabcAQAAAAAoiTIcAAAATuuFF15QcXGxzeuYCgdQHUwmk4K6hyswvJuSf9qvmLXrlXnqtNGxrJJ2+Ih+OXxEAd26KmzcGPm1bmV0JAAAAAAAbEYZDgAAAKd09OhRbd682eZ1ffr00aBBg+yQCAAsM5lMqtvzCgX16K6kH35UzNr1yoqOMTqWVVIPHlLqwUMK7BGusHFj5XtZC6MjAQAAAABgNcpwAAAAOKUXX3yxQlPhs2fPtkMaACifyWxWvd69VPfKnkr6fp+i125Qdmys0bGskrI/Uin7IxXU8wqFjRsjn+bNjI4EAAAAAEC5KMMBAADgdP744w9t2LDB5nU9e/bUkCFD7JAIAKxnMptVr28f1e11pRK/+17R6zYo59w5o2NZJfnHn5T840+q27uXQseOlk/TMKMjAQAAAABQJspwAAAAOJ0XX3xRRUVFNq9jKhyAIzG5uKj+Vf1Ur29vJXyzRzHrNyonLs7oWFZJ+n6fkvb9oHp9eit07Gh5h4YYHQkAAAAAgFIowwEAAOBUjh8/rnXr1tm8Ljw8XMOGDbNDIgCoHJOLixoMHKB6/fsqYfc3ilm/Sbnx8UbHKl9xsRK/26vEvd+rfv9+Ch0zSl5NGhudCgAAAACAv1CGAwAAwKm89NJLKiwstHkdU+EAHJ3Z1VUNrxmk+lf1V/zXuxSzYbPyEhONjlW+4mIlfPOtEvZ8pwYD+itk9Ch5NQo2OhUAAAAAAJThAAAAcB4nT57U6tWrbV7XpUsX3XzzzXZIBABVz+zmpuAhg9Vg4NW6sPMrxW7crLykZKNjla+oSPFf71b87m/VYODVCh19qzwbNjA6FQAAAACgFjMbHQAAAACw1ssvv6yCggKb1zEVDsAZmd3c1GjodQpfvEDNJ0+UW2CA0ZGsU1Sk+J1f6eC0+3Ri4WLlJiQYnQgAAAAAUEtRhgMAAMApnDlzRh988IHN6zp27KgRI0bYIREAVA+zu7sa33C9wpcsVLN77pKbv7/RkaxSXFioC59/qch771PU4mXKTUoyOhIAAAAAoJahDAcAAIBTeOWVV5Sfn2/zumeeecYOaQCg+rl4eKjJzTcqfOlCNZ1wh1zr1DE6klWKCwoU99kORU6doZPL3lVecorRkQAAAAAAtQRlOAAAABxeTEyMVqxYYfO6du3a6dZbb7VDIgAwjounp0JGDFf3pQvV9I7xcvXzNTqSVYrz83V+23ZFTp2uU++tVF5qqtGRAAAAAAA1HGU4AAAAHN7cuXOVl5dn87pZs2bJbOaPvABqJhcvL4XcOkLhSxcpbPw4ufj4GB3JKkV5eTq39RNFTpmu0++vUn56utGRAAAAAAA1FN8ZBAAAgEM7d+6c3n33XZvXtWnTRmPHjrVDIgBwLK7e3godfau6L12k0LGj5eLtbXQkqxTl5urslo90YPI0nVm1WvnpF42OBAAAAACoYSjDAQAA4NBeffVV5ebm2rzu6aefZiocQK3i6uujsHFjFL50oUJGjZTZ09PoSFYpyslR7KYtipwyTWdWr1VBRobRkQAAAAAANQTfHQQAAIDDiouL07Jly2xe17JlS40fP94OiQDA8bn5+anp7bep+7JFajLyFpk9PIyOZJXC7GzFbtikA1OmKXrdBhVkZhodCQAAAADg5CjDAQAA4LBef/11ZWdn27zu6aeflouLix0SAYDzcKtTR83uvF3hSxep8fCbZHZ3NzqSVQozsxSzdr0ip0xXzMbNKsiy/f8HAAAAAACQKMMBAADgoOLj47V48WKb1zVv3lx33HGHHRIBgHNyD/BX87snKHzpQjW68QaZ3NyMjmSVgowMRf9njSKnTFPs5g9VWIEPRwEAAAAAajfKcAAAADikN954Q1lZWTave+qpp+Tq6mqHRADg3NwDA9Vi0t0KX7JQjYYNlclJfq8suHhRZz74jyKnTtfZjz5WYW6u0ZEAAAAAAE6CMhwAAAAOJzExUQsXLrR5XVhYmO66666qDwQANYhH3SC1mDJJ4YsXKPi6wU5Tiuenpev0ivcVOWW6zn2yjVIcAAAAAFAuynAAAAA4nLfeekuZmZk2r3vyySfl5iTb/wKA0Tzq19Nl06aq26K31XDwNTK5uBgdySr5qak6tXyFDt57n85/+pmK8vONjgQAAAAAcFCU4QAAAHAoKSkpeuedd2xeFxISookTJ9ohEQDUbJ4NGqjljGnqtnC+GgwaKJmd41sFecnJOrl0uSKnztD5zz6nFAcAAAAAlOIcX+ECAACg1pg3b54uXrxo87onnnhC7u7udkgEALWDZ3CwWj0wQ90WRKj+gKucpxRPStLJxUt1cPr9ivtip4oKCoyOBAAAAABwEM7xlS0AAABqhbS0NM2fP9/mdY0bN9bkyZPtkAgAah+vxo3VeuYD6vr2PNXr31cymYyOZJXc+ARFLVikQzMe0IWvvlZxYaHRkQAAAAAABqMMBwAAgMOIiIhQWlqazesee+wxeXh42CERANRe3iEhavPITHWd/5bq9ulldByr5cRd0In5C3RwxgOK3/0NpTgAAAAA1GKU4QAAAHAI6enp+ve//23zuoYNG2rq1Kl2SAQAkCTvsDC1ffxRdYl4U3V79TQ6jtVyzsfp+Lz5OvTATCV8+x2lOAAAAADUQpThAAAAcAhvv/22UlJSbF736KOPysvLyw6JAAB/59Osmdo++bg6z3tdQVf0MDqO1bJjz+rPN+fp54ceUeLefSouKjI6EgAAAACgmlCGAwAAwHAZGRmaN2+ezevq16+vadOm2SERAKAsvi1a6PJZT6rTG68qMLyb0XGslhUdo2OvvaGfZz6qpH0/qri42OhIAAAAAAA7owwHAACA4RYsWKCkpCSb1z388MPy8fGxQyIAQHn8WrVUuzmz1Om1VxTQpbPRcayWdfqM/pj7mg4//JiSf9pPKQ4AAAAANRhlOAAAAAyVlZWlN9980+Z1devW1X333WeHRAAAW/i1aa32z81Rx7kvyb9TR6PjWC3z5Cn9/tJcHXn0CaVEHqQUBwAAAIAaiDIcAAAAhlq0aJESEhJsXjdz5kz5+v4/9u4zPMoy/9v4dyaTQkIaCaEmgAgDhJpQRATBXlBXBUL5s7aVKqIiiiioNHtblBJxXVcFAggqii4qAkpTQhVwpCehptJTJ8+LdfcBFZkJmVwzyfk5jj2OmTtz3Tn3xc4O88t139U9UAQAKIuw5s3UcuIzajl5gsLiW5jOcdnJXbu1fcJkbX18rHI3bmIoDgAAAACVCMNwAAAAGHPmzBm9/PLLbq+LjIzUiBEjPFAEALhY4S3j1XLyBMVPfEahzeymc1x2wvGLtj8zUVufeEp5W7aazgEAAAAAlAOb6QAAAABUXcnJyTp8+LDb60aOHKmwsDAPFAEAyoPFYlFE61YKb9VSeZs2K232XJ38ZafpLJec2PGzto17RmEt4xXXP0nh8fGmkwAAAAAAZcQwHAAAAEbk5+frhRdecHtdeHi4Ro4c6YEiAEB5s1gsimzXVhFt2yg3dYPSZqfo1O7dprNccvynbfpp7HiFt26luP59Fda8mekkAAAAAICbGIYDAADAiFmzZunQoUNurxsxYoQiIiI8UAQA8BSLxaIa7RMVmZignB/WK31Oik7t3Ws6yyXHtmzV1i1bFdGureL6JSnU3tR0EgAAAADARQzDAQAAUOEKCwvLtCs8NDRUDz/8sAeKAAAVwWKxKKpTB9XokKicdT8qbc5cnd6fZjrLJXkbNylv4yZFtk9UXL8kVb+0sekkAAAAAMAFMAwHAABAhfvHP/6hjIwMt9cNHz5cNWrU8EARAKAiWaxWRXXupBqdOih7zVqlzUnRmXT3/3/BhNz1qcpdn6oaHTsotl+Sql/SyHQSAAAAAOA8GIYDAACgQhUVFen55593e11ISIhGjRrlgSIAgCkWq1XRXS5X1GWdlLVqtdLmzFP+wYOms1yS88OPyvnhR0V17qTYvkkKadjAdBIAAAAA4DcYhgMAAKBCvffee9q/f7/b64YNG6bo6GgPFAEATLP4+almt66K7nK5Mld+p/S585V/+LDpLJdkr1mn7DXrFNXlcsX17aPguFjTSQAAAACAXzEMBwAAQIUpLi7WlClT3F4XHBysRx991ANFAABvYvHzU0yP7qrZrauOLl+h9JT5Kjhy1HSWS7JXrVb26jWK7nqFYpN6K7h+PdNJAAAAAFDlMQwHAABAhXn//fe1d+9et9cNHjxYMTExHigCAHgji5+fal19lWpe2U1Hly1Xxrz5KsjMMp11YaWlylr5nbK+X6WaV3ZTbFIvVatTx3QVAAAAAFRZDMMBAABQIUpKSsq0KzwoKEiPPfaYB4oAAN7OarOp9nXXKKbHlTry9TJlzP9IhdnZprMuzOlU5rfLlblipWJ6dFdsnzsVVLu26SoAAAAAqHIYhgMAAKBCzJ49W7t27XJ73f3336/aDBAAoEqz+vurzo3Xq9bVPXTkq6+VPn+hinJzTWddmNOpo98sU+byFYq5uofq975TQVzpBAAAAAAqjNV0AAAAACo/p9OpyZMnu70uMDBQjz/+uAeKAAC+yBoQoDo336TEmW+p0X33yD8iwnSSS0pLSnRk6dfaMHSEds9IVkGWD+xuBwAAAIBKgGE4AAAAPC4lJUUOh8Ptdffee6/q1avngSIAgC/zCwxU3Vt7KjF5mhrec5dsYWGmk1xSWlysw1/8W6mDh2lP8jsqyM4xnQQAAAAAlRrDcAAAAHjcpEmT3F4TEBCgJ11dph8AACAASURBVJ54wgM1AIDKwi8wUPX+cqvaJ09Tg7/+n2yh1U0nuaS0uFiHPl+iDUOGa8+sd1XoC5d8BwAAAAAfxDAcAAAAHjV//nxt377d7XV33323YmNjPVAEAKhs/KpVU/07b1di8nTFDegnv5AQ00kucRYW6tDiz5Q6aJj2vvueio4dM50EAAAAAJUKw3AAAAB41MSJE91e4+/vr7Fjx3qgBgBQmdmCgxXbp5favz1dsf2S5BccbDrJJc7CQh38+FOtHzRM+/71gYqOnzCdBAAAAACVAsNwAAAAeMzChQu1detWt9cNHDhQDRo08EARAKAqsIWEKK5vH7V/e7rq9+kla1CQ6SSXOPPzdeCjRVp//xDt/3COik+eNJ0EAAAAAD6NYTgAAAA8piy7wm02m5588kkP1AAAqhpb9epqMKCf2r89Q/V73eFTQ/GMeQu0/v6hSps7T8WnTplOAgAAAACfxDAcAAAAHvHpp59q06ZNbq/r37+/LrnkEg8UAQCqKv+wUDUYOEDtk6ep3u23yRoQYDrJJSWnTyt9TorW3z9U6fMWqPj0GdNJAAAAAOBTGIYDAADAI8qyK9zPz49d4QAAj/EPD1fDu/+qxORpqntrT98Zip86pbQP5yh10BBlLFiokjMMxQEAAADAFQzDAQAAUO6WLFmi9evXu72ub9++atq0qQeKAAD4/wIiI9XovnuUMOMt1bn5JllsNtNJLik+cVL73/9Q6wcN04FFn6ikoMB0EgAAAAB4NYbhAAAAKHdl2RVutVr11FNPeaAGAIA/FhhVQ5cMuk+JM6ep9o03+M5Q/Phx7fvnv5Q6aJgOfvoZQ3EAAAAAOA+G4QAAAChXS5cu1dq1a91e17t3bzVr1swDRQAA/LnA6Cg1HnK/EqZPVa3rr5XFz890kkuK8vK09513lTp4uA5+tkTOwkLTSQAAAADgVRiGAwAAoFw9++yzbq+xWCwaN26cB2oAAHBdUEyMLh02RAnTpyrmmqskq298bVKUm6u9b7+j1CHDdeiLL+UsKjKdBAAAAABewTf+VQcAAACf8M0332j16tVur7vjjjsUHx/vgSIAANwXVKuWmowYroRpf1fNHt19ZihemJ2jPTPe1oahD+jw0q/kLC42nQQAAAAARvnGv+YAAADgEyZMmOD2GnaFAwC8VbU6ddT0oRFqN/V1RXfrKlksppNcUpCZpd1vzdCGYSN05OtlKi0pMZ0EAAAAAEYwDAcAAEC5WLFihVauXOn2ultvvVVt2rTxQBEAAOUjuH492Uc9pHZ/f03RV3QxneOygiNHtWvqW9ow/EEd/XY5Q3EAAAAAVQ7DcAAAAJSLsuwKl6Tx48eXcwkAAJ4RHBcr++hH1PaNVxXV+TLTOS7LP3RYO1+fqo0jHlLmyu8YigMAAACoMhiGAwAA4KKtWrVKy5Ytc3tdz549lZCQ4IEiAAA8J6RhAzUbM1ptXntZNTp1MJ3jsjMHDuqXV17XxgcfUdb3q1TqdJpOAgAAAACPspkOAAAAgO9jVzgAoCqqfkkjNR87Rid37VbanBTlrk81neSSMxkZcrz0qqrFxaqkUwdZm9ll8ZH7oQMAAACAOxiGAwAA4KKsW7dOS5cudXvdDTfcoA4dfGc3HQAA51P90sZqMW6sTjh+UdqcFOVt3GQ6ySVn0tKltHRZateS7cqusjZtYjoJAAAAAMoVl0kHAADARXn22WfLtO7pp58u5xIAAMwKtTdV/DPj1Or5yQpv09p0jstKDx9RUcoCFc56V3kbNqq0tNR0EgAAAACUC4bhAAAAKLP169friy++cHvdNddco8suu8wDRQAAmBfWvJlaTnhaLadMUFjLeNM5Lis9dFi/THlBWx57QrkMxQEAAABUAgzDAQAAUGZlvVc4u8IBAFVBeHy8Wk2eoPiJzyisRXPTOS47+ctObX92kraOeVJ5m7cwFAcAAADgs7hnOAAAAMpk06ZNWrx4sdvrunfvriuuuMIDRQAAeKeI1q0U3qqljm3eorTZc3XC8YvpJJec+NmhbeOfVVh8C8X176twH9rlDgAAAAASw3AAAACUEbvCAQBwncViUUTbNgpv01p5GzYqbU6KTu7cZTrLJce3bddPT45XeOtWiuuX5FO73AEAAABUbQzDAQAA4LatW7fq448/dntdt27d1L179/IPAgDAR1gsFkUmJigioZ1y16cqbfZcndqz13SWS45t2aqtW7Yqom0bxfXvq1B7U9NJAAAAAPCnGIYDAADAbRMnTizT/UPHjRvngRoAAHyPxWJRjQ7tFdk+UTnrflDanBSd3rffdJZL8jZtVt6mzYpMbKfYfn0V2uRS00kAAAAA8IcYhgMAAMAt27Zt04IFC9xed/nll+uaa67xQBEAAL7LYrEo6rJOqtGxg7LXrFPanLk6k55hOssluakblZu6UZEd2iuuf5KqX3KJ6SQAAAAAOAfDcAAAALhl0qRJ7AoHAKCcWaxWRXfprKjLOipr1Rqlz03RmQMHTWe5JPfH9cr9cb1qXNZJcf36KKRhQ9NJAAAAACCJYTgAAADc4HA4NG/ePLfXdezYUTfccIMHigAAqFwsfn6q2e0KRXfprMzvVik9ZZ7yDx4yneWSnLXrlLN2naK6dFZc3z4KjosznQQAAACgimMYDgAAAJdNmjRJTqfT7XXsCgcAwD0WPz/FdO+mml27KHPFSqWnzFf+4SOms1ySvWqNslevVXTXLopN6q3g+vVNJwEAAACoohiGAwAAwCW7du3SnDlz3F6XmJionj17eqAIAIDKz+Lnp5ireii6W1dlfrtc6fMWqOBopumsCystVdbK75X1/WrV7HaFYpN6q1rduqarAAAAAFQxDMMBAADgksmTJ6ukpMTtdewKBwDg4lltNtW69hrV7H6ljn7zrdLnLVBhdrbprAtzOpW5fKUyV36vmO5XKjapl4Jq1zZdBQAAAKCKYBgOAACAC9q7d68++OADt9e1bdtWt912mweKAAComqz+/qp9w3WKubqHjiz9WhkLFqowJ8d01oU5nTq67FtlrlipmKt6qH6fOxUUE2O6CgAAAEAlZzUdAAAAAO83ZcoUFRcXu73uqaee8kANAACw+vurzs03KmHGm2r0t3vkHxFhOsklpSUlOvLV19owdIR2T5+pgsws00kAAAAAKjGG4QAAAPhT+/fv13vvvef2upYtW+rOO+/0QBEAAPgvv8BA1b2lpxKTp6nhvXfJPzzMdJJLSouLdfjLpUodMly7Z76tAl+45DsAAAAAn8MwHAAAAH/queeeU1FRkdvr2BUOAEDF8QsMVL3bblVi8nQ1uGugbKGhppNcUlpcrMNLvlTq4OHaM+sfKszNNZ0EAAAAoBJhGA4AAIDzysjI0Lvvvuv2uubNm6t3794eKAIAAH/GLyhI9e/4ixKTpyvu//rLVr266SSXlBYV6dDiz5U6aJj2vvueCvOOmU4CAAAAUAkwDAcAAMB5Pf/88yosLHR73ZNPPimrlY+aAACYYguuptjedyoxeZri+veVX0iw6SSXOAsLdfDjT5U6aKj2vfe+io4fN50EAAAAwIfxDSUAAAD+0MGDBzVr1iy31zVt2lR9+/b1QBEAAHCXLSREsUm91T55hmKTesuvWjXTSS5xFhTowMKPtf7+odr/wWwVnThhOgkAAACAD2IYDgAAgD/04osvqqCgwO11Tz75pPz8/DxQBAAAyspWPURx/fsq8e3pqt/rDlmDgkwnucSZn6+M+R8pddAwpc2eq+KTp0wnAQAAAPAhDMMBAADwO4cPH1ZycrLb6xo3bqwBAwZ4oAgAAJQH/9BQNRg4QO2Tp6nObbdI/v6mk1xScvq00lPma/2goUpPma/i06dNJwEAAADwAQzDAQAA8DsvvfSSzpw54/a6sWPHsiscAAAf4B8ertiBAxQ4Yqj8Luso2Wymk1xScuqU0mbPVeqgocpYsFAlZfi8AgAAAKDqYBgOAACAc2RmZmrGjBlur2vYsKH++te/eqAIAAB4iqV6dflfd40CRwyTX8f2svjITvHiEye1//0PtX7QMGUs/Fgl+fmmkwAAAAB4IYbhAAAAOMfLL7+s02W49OgTTzwhm4/sKgMAAOeyhFaX/w3Xqc2bb6j2TTfI4iP/n158/Lj2v/e+UgcN04FPFqukoMB0EgAAAAAvwjAcAAAA/5Odna1p06a5vS4uLk533313+QcBAIAKFRBVQ40H36/EGW+q1vXXyeIjtz8pOnZM+/7xT6UOHqaDiz+Xs7DQdBIAAAAAL8AwHAAAAP/z6quv6uTJk26vGzNmjAICAjxQBAAATAisWVOXDhushOlvKuaaqyWrb3yFVJSbp72z/qHUIcN1aMmXchYVmU4CAAAAYJBv/EsGAAAAHpebm6s333zT7XX169fXfffd54EiAABgWlCtGDUZMUwJ06Yq5qruPjMUL8zO0Z6Zbyt1yAM6/O+lDMUBAACAKso3/gUDAAAAj3v99dd1/Phxt9c99thj7AoHAKCSq1antpqMHKGEN99Qze7dJIvFdJJLCrOytHvaTG0Y9qCOfP2NnMXFppMAAAAAVCCG4QAAANCxY8f097//3e11derU0f333++BIgAA4I2q1aurpg+PVLupryu6axefGYoXHD2qXVOnaePwkTq6bLlKS0pMJwEAAACoAAzDAQAAoDfeeEN5eXlurxs9erSCgoI8UAQAALxZcGx92R99RG3feFVRl3c2neOy/MOHtfONqdrwwEgdXb6SoTgAAABQyTEMBwAAqOJOnDih119/3e11tWrV0pAhQzxQBAAAfEVIgzg1e/xRtX39FdXo1NF0jsvyDx7Sztfe0MYHH1bmd6tU6nSaTgIAAADgAQzDAQAAqripU6cqNzfX7XWjRo1StWrVPFAEAAB8TUijhmo+9nG1eeVFRXZINJ3jsjMZB/TLy69q00OjlLV6DUNxAAAAoJJhGA4AAFCFnTx5Uq+++qrb66KjozVs2DAPFAEAAF9W/dLGavHUWLV+6XlFJrYzneOy0/vT5HjhZW1+ZLSy1/2g0tJS00kAAAAAygHDcAAAgCps2rRpys7OdnvdqFGjFBIS4oEiAABQGYQ2baIW459SqxemKKJtG9M5Lju1d59+nvKCNo96TDk/rmcoDgAAAPg4huEAAABV1OnTp/XKK6+4vS4qKkoPPPCAB4oAAEBlE9bMrvhnx6vllIkKb9XSdI7LTu3eox2TntOW0WOUu2EjQ3EAAADAR9lMBwAAAMCMGTNm6OjRo26ve+ihh1S9enUPFAEAgMoqPL6Fwic9q7wtW5U+J0XHt+8wneSSkzt3afuzkxRqtyuuf5LC27SWxWIxnQUAAADARQzDAQAAqqAzZ87opZdecntdRESEHnzwQQ8UAQCAqiCidSuFt2qpY5u3KG12ik44HKaTXHLC4dC2pycorEVzxfXv61O73AEAAICqjGE4AABAFZScnKzDhw+7vW7kyJEKCwvzQBEAAKgqLBaLItq2UXib1srbuElps1N0cudO01kuOb59h3566mmFt2qp2H5JCo9vYToJAAAAwJ9gGA4AAFDFFBQU6MUXX3R7XVhYmB566CEPFAEAgKrIYrEoMqGdItq1VW7qBqXNnqtTu/eYznLJsa0/6djWnxTRto1i+yUprJnddBIAAACAP8AwHAAAoIqZNWuWDh486Pa6ESNGKCIiwgNFAACgKrNYLKrRPlGRiQnK+eFHpc9J0am9+0xnuSRv02blbdqsiIR2iuuXpNCmTUwnAQAAADgLw3AAAIAqpLCwUC+88ILb60JDQ/XII494oAgAAOA/LBaLojp1VI0O7ZW9dp3S56TodFq66SyX5G3YqLwNGxXZIVFx/fqqeuNLTCcBAAAAEMNwAACAKuXdd99Verr7XyoPHz5cNWrU8EARAADAuSxWq6Iv76yoyzope/Uapc2ZpzMZGaazXJL7Y6pyf0xVjU4dFdcvSSGNGppOAgAAAKo0huEAAABVRFFRkZ577jm314WEhGjUqFEeKAIAADg/i9Wq6Cu6KKrzZcr6frXS5s5Tfhlu9WJCzroflLPuB0Vd3lmxffsopEGc6SQAAACgSmIYDgAAUEX861//0v79+91eN3ToUEVHR3ugCAAA4MIsfn6qeWVXRV9xuTJXfKf0lHnKP3zEdJZLslevUfaatYrucrli+/ZRcGx900kAAABAlcIwHAAAoAooLi7WlClT3F5XrVo1jR492gNFAAAA7rH4+Snmqu6K7naFMpevUHrKAhUcPWo668JKS5X1/SplrVqtmt26Kjapt6rVq2u6CgAAAKgSGIYDAABUAR988IH27Nnj9rrBgwcrJibGA0UAAABlY7XZVOuaq1Xzym46uuxbpc/7SIVZWaazLqy0VJkrVirzu+8V072b6vfprWp1apuuAgAAACo1huEAAACVXElJSZl2hQcFBemxxx7zQBEAAMDFs/r7q/b11ynmqh468tU3yljwkQqzc0xnXZjTqaPLluvo8pWKuaqHYvv0UlAt/vgQAAAA8ASr6QAAAAB41pw5c7Rz50631/3tb39TnTp1PFAEAABQfqz+/qpz0w1KnPGWGt1/n/wjI0wnucbp1NGvv9GGoQ9o17SZKsjMNF0EAAAAVDoMwwEAACoRPz+/c547nU5NnjzZ7fMEBgZqzJgx5ZUFAADgcdaAANXteZMSZ05Tw3vvln94uOkkl5SWlOjIv5cqdcgD2j3jbRVkZ5tOAgAAACoNhuEAAACVhM1mk8ViOefYvHnz9PPPP7t9rnvvvVf16tUrrzQAAIAK4xcYqHq33aLE5GlqcNdA2UJDTSe5pLS4WIe/+FKpg4drz9vvqDAn13QSAAAA4PMYhgMAAFQSjRo1+t0wfNKkSW6fJyAgQE888UR5ZQEAABjhFxSk+nf8RYnJ09Vg4ADZqlc3neSS0qIiHfpsiVIHD9Pef/xThXl5ppMAAAAAn8UwHAAAoBKw2WwK/c2up/nz52vbtm1un+uuu+5SbGxseaUBAAAYZQuupvq97lDi29MVN6Cf/EJCTCe5xFlYqIOfLFbqoGHa9977Kjp+3HQSAAAA4HMYhgMAAFQCDRs2LJdd4TabTWPHji2vLAAAAK9hCw5WbJ9eap88XbF9+8gvONh0kkucBQU6sPBjrb9/qPa//6GKjp8wnQQAAAD4DIbhAAAAPs5msyksLOycY4sWLdKWLVvcPtfAgQPVsGHDcioDAADwPrbqIYrrl6TE5Gmq3/tOWYOCTCe5xJmfr4wFC5U6aKj2fzhHxSdPmk4CAAAAvJ7NdAAAAADOz+l0Kjc39w9/VlRUpGPHjql169a/2xU+ceJEt3+Xn5+fnnzyyTJ1AgAA+Br/0FA1+L/+qntrTx1Y9IkOff6FnAUFprMuqOTMGWXMW6BDny9R3VtvUd1bbpbNRy79DgAAAFQ0huEAAABeLDc3V61btz7vzyMiIrR169Zzji1evFgbN250+3cNGDBAjRs3dnsdAACAL/MPC1PDuwaq7m236sCij3V4yZdyFhaazrqgklOnlT4nRYcWf666f7lVdW6+SbbgaqazAAAAAK/CZdIBAAB82CuvvCKr9dyPdOwKBwAAcF9ARLga3XOXEpOnqc4tPWXx9zed5JLikyeV9sFspQ4aqoyFH6skP990EgAAAOA1GIYDAAD4qPDwcF177bXnHPviiy/0448/un2upKQkNW3atLzSAAAAfFZAZKQu+ds9Spz5lurcfKMsNt+4sGLxiRPa/977Sh00VAc+/lQlPnDJdwAAAMDTGIYDAAD4qBdffFF+fn7nHJswYYLb57FarXrqqafKKwsAAKBSCIyK0iWD/qbEGW+p9g3X+cxQvOjYce179z2lDhqmg4s/84lLvgMAAACewjAcAADAB4WGhurGG28859jSpUu1du1at8/Vq1cvNW/evLzSAAAAKpXAmtFqPHSwEqZNVa1rr5GsvvF1WlFenvbOelepg4fr0OdfyFlUZDoJAAAAqHC+8ekdAAAA53j++efLZVe4xWLRuHHjyisLAACg0gqqFaNLHxiqxOlTFXNVD58Zihfm5GhP8iylDh6uw18uZSgOAACAKsUnru9kt9v9JCVIai0pWpJFUpakLZJSHQ5HicE8AACAClW9enX17NnznGPLli3TqlWr3D7X7bffrpYtW5ZXGgAAQKUXVLu2mox8QPV736H0lAXKXPmd5HSazrqgwuxs7Z4+UxkfLVRsn16q2aO7rD5y6XcAAACgrLz6E6/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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["w = np.array([1, 2])\n", "plt.annotate('', xy=w, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=0.5 * w, xytext=(0, 0), arrowprops=black)\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.plot(0.5 * w[0], 0.5 * w[1], 'ro', ms=10)\n", "plt.plot([-2, 5], [2.25, -1.25], 'r-', lw=5)\n", "plt.text(-0.7, 0.8, \"\ubca1\ud130 $cw$\")\n", "plt.text(-0.1, 1.6, \"\ubca1\ud130 $w$\")\n", "plt.text(1, 1, \"\uc9c1\uc120 $x$\")\n", "plt.xticks(np.arange(-2, 5))\n", "plt.yticks(np.arange(-1, 5))\n", "plt.xlim(-2, 5)\n", "plt.ylim(-0.6, 3.6)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 19, "metadata": {"school_cell_uuid": "bfeeaa0a81bc426c9736adfb7f479b6f"}, "outputs": [{"data": {"image/png": 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47LDD4mc/+1nMmDEj4aQAAACkSRFPnZLfuHFs81+HR7+xN8X2PzktClu3SjtSlVSWlcXHT/6/mHz20Phg7O2xbsnStCMBAAANWLNmzeLAAw+MESNGxP7771+rhXyuroj/T1vyVILRo0fH2rVrv9h+8skn45BDDomzzz47stlsEvEAAABImSKeOim/cePoctQR0e+Wm2K7H58aBS1bpB2pSirLymLhE/+MKYOHxYe33xElxcVpRwIAABqwpk2bxgEHHBCDBw+O1q1b18o9FfFb5qOPPoq77757o8f+8Y9/xEEHHRRDhw6NNWvW1HIyAAAAkqSIp07Lb9o0uh4zKPqNHRPdTjkp8ps3TztSlVSUlMRHj/8jJp85JGb/+S9Runx52pEAAIAGrE2bNtGnT59audd/FvGZTKZW7ttQ3HjjjbFu3bqvPV5ZWRkLFy6MJk2a1GIqAAAAkqaIp14oaNYstj3+2Oh/65jY9qQTIr95s7QjVUlFSUks+NtjMemsoTH7L3dH6YqVaUcCAAAaqNWrV6cdgW+wYMGCuPfee7/xvFGjRvmAAwAAQD2niKdeKWjePLqdeHz0Hzsmuh5/bOQ3bZp2pCqpWLs2Fjzyt5h81pCYc899UfbZZ2lHAgAAGpB169bFtGnTauVeHk1ffdddd12UlpZu8pwBAwbEwIEDaykRAAAANUURT71U0KJFbHfKSdFv7JjoeuzRkVdPHtlXvmZNzH/w4Zh05pCYe/+DUbZqVdqRAACABuC1116LtWvX1sq9FPHV8/nfW35+/ibPGzVqVG3EAQAAoIYp4qnXClu1jO1+dEr0H3tTdBl0ZOQ1apR2pCopX7065t33QEw6c0jMe/DhKFu9Ju1IAABAPVVSUhITJkyotfsp4qsnk8nEFVdcEc8//3wcc8wxkZe34a9k9t1339h7771TSAcAAEDSFPE0CIWtW8f2p/84+t06JrY54vD6U8ivWhVz77kvJp81OOY//NcoX6OQBwAANs/rr78ea/wsUW907949rr/++njuuefiqKOO+sq74M8777xqX7e8vDyJeAAAACREEU+D0qhNm9jhpz+JfrfcFJ0P/0FkCgrSjlQlZSs/izl33ROTzhoaCwApS7sAACAASURBVP72WJSvW5d2JAAAoB4oKSmJV155ZbPHZTKZ+N73vhdnn312/PCHP4w2bdpUeawV8cnYcccdY/To0fHMM8/E4YcfHgceeGDsueee1bpWWVlZHHbYYXHJJZfE4sWLE04KAABAddSPlhI2U6N2baP7mT+NLoOOivkP/zU+Gfd0VJaVpR3rG5WtWBGz//yXWPDo49H1mEHR8bBDIr9x47RjAQAAddSkSZNi9erVmz1u//33j7322isiIjp16hR9+/aNt956K1566aVYunTpJscq4pNVVFQUt9xyS5SWllb7Go888kjMnDkzZs6cGX/5y1/ijDPOiMGDB0e7du0STAoAAMDmsCKeBq3xVu3jW4PPjH433xgdDzskMvn5aUeqktLi4vjw9jti8tnDYuET/4yKkpK0IwEAAHVMaWlptVbDN2nSZIP3kOfl5UWfPn1i2LBhcdRRR0X79u2/drwivmYUFhZWa1xpaWlcd911X2yvWbMmRo8eHXvvvXdcfvnlsWzZsqQiAgAAsBkU8eSExh06xI5DB0ffMTfE1gcfGJFXP6Z+6bJl8cHY22Py4J/HwiefiootWCEBAAA0LJMnT45Vq1Zt9ri99947Gn/Nk7fy8vJi9913j2HDhsXRRx8dHTp02NKY1LCHH3445syZs8H+VatWxQ033BADBgyIsWPHppAMAAAgt9WPNhIS0qRjx9jpnGHR96bro8N3D6g3hXzJkiXxwc23xpQhP4+P/zUuKurBY/YBAICaU1ZWFuPHj9/scY0bN/7ikfSbkslkYrfddouhQ4fGscceG1tvvfUXx6yIrztKSkri2muv3eQ5K1eujIqKilpKBAAAwOfqRwsJCWvauXPsfO45sccN10aH/feLyGTSjlQl6z5dHO+PvjmmDD0nPnn62agsL087EgAAkIIpU6bEZ599ttnj9tprr2jSpMlmjenZs2cMGTIkjj/++OjUqZMivg554IEHYv78+Zs8p0OHDnHaaafVUiIAAAA+V5B2AEhTs65dYueRI6LrsUfHvAceisUvb/6KkjSs+2RRvHfD6Jj/8COx7QnHRYf99o1Mfn7asQAAgFpQXl5erdXwjRo12uDd8Jtj1113jV133TVKvTKrTli3bt1X3g3/dYYNGxZNmzathUQAAAB8mRXxEBHNum0bReePjD7XXR3tB1T/F1O1be3Cj2PWtTfE1HPOjU9ffMkKeQAAyAFTp06NFStWbPa4b3/724kUsoWFhVt8Dbbc4sWLo0uXLps8p2PHjnHqqafWUiIAAAC+TBEPX9J8++1il1+dH7tfc2W022vPtONU2ZoFH8W7V10bU0eMjMXjX4lK7/8DAIAGqby8PF5++eXNHteoUaMYMGBADSQiLV26dIlHH3007r333thjjz02es4555xjNTwAAEBKFPGwES267xC7Xvir2P2qK6Ltnv3SjlNla+bNj+wVV8Ub554XSya8qpAHAIAG5s0334zly5dv9rj+/ftHs2bNaiARacpkMrH//vvH3//+9/jLX/4SvXv3/uJY586d46STTqr2tcs9cQ0AAGCLKOJhE1rs+K3o8d8XRu8/Xh5t+m58hUFdtHrO3Hjn8j/GmyN/GUsmvh6VlZVpRwIAALZQRUVFvPTSS5s9rrCwML7zne8kkqG8vPwr74ivrKz080YdkMlk4qCDDop//vOfcccdd0TPnj1j+PDh0aRJk2pd7+23347vfOc7cffdd0dJSUnCaQEAAHKDIh6qoOXOO0XP3/537Hb5ZdF6997fPKCOWPXhh/HO7y+PN8+7IJZOmuwXZAAAUI+9+eabUVxcvNnj+vfvH82bN08kQ0VFRUyfPj3mzJkTixYtilmzZvk5ow7JZDJx6KGHxlNPPRWnnHJKta9z9dVXx/z58+OCCy6I/fbbL+6///6vfAADAACAb6aIh83Qatddotclv41ev78kWvXqmXacKlv1/vsx89Lfx1u//HUsmzLVL8oAAKCeqaioqNa74QsKChJbDf/lLIsXL4558+bFypUrE702ycjLy4v8/PxqjZ02bVo89dRTX2zPmzcvzjvvvNh///3jwQcfjLKysqRiAgAANGiKeKiG1j17xm6XXRI9L704WvXYNe04VfbZu7Nixv/5XUz71W+i+M23FPIAAFBPTJs2LZYuXbrZ4/r16xctWrSogUQ0VFddddVG98+ZMyd+8YtfxAEHHBCvvfZaLacCAACofwrSDgD1WZveu0Xr3XrF8jffirn33h8rs++mHalKVr6Tjbf/5/9Eq549otvJJ0brerS6HwAAck1lZWW13g2fn58fAwcOrIFENFRvvPFGjBs3bpPnzJkzJ9q1a1dLiQAAAOovRTxsoUwmE2367B6td+8dxVPfiLn33h+fzXov7VhVsuLtGTH9N/8TrXvvFt1OPjFa7bpL2pEAAID/MH369FiyZMlmj+vbt2+0bNmyBhLRUH3davgvGzRoUOy44461kAYAAKB+U8RDQjKZTLTtu0e02aNPLJs0Oebee3+s+uDDtGNVyfK3psW0t6ZFmz67R7eTT4yWRTunHQkAAAir4ak9kyZNimeffXaT5+Tn58e5555bS4kAAADqN0U8JCyTyUS7PftH2/79YunE12LufQ/E6tlz0o5VJcVvvBnFb7wZbfv1jW1POiFa7mSVAwAApGnGjBnx6aefbva4Pn36ROvWrWsgEQ1VcXFxdO7cORYuXPi15xx77LHRvXv3WkwFAABQf+WlHQAaqkwmE+333iv6XHNlFP1yVDTrtm3akaps2eQp8daoC2LG7/4Qn33wQdpxAAAgZ7344oubPSYvLy/22WefGkhDQ3bwwQfHyy+/HL/73e+iY8eOGxwvKCiIESNGpJAMAACgflLEQw3L5OXFVgMHRJ/rro6dR42Mpl27pB2pypa9Pine/MX5MfMPV8Sq2bPTjgMAADll5syZsWjRos0et/vuu0ebNm1qIBENXZMmTeInP/lJjB8/Pi6++OLo0KHDF8dOOOGE2G677ap13bKysqisrEwqJgAAQL2giIdaksnLiw77Dow9rr8mdvrFiGiyTee0I1XZ0lcnxhsjzot3rrgyVs+dm3YcAADICdVdDb/vvvvWQBpySdOmTePMM8+MCRMmxEUXXRSdOnWK4cOHV/t6N9xwQxxzzDHxyiuvJJgSAACgblPEQy3L5OfH1gfsF31vvC52GvHzaNJpw0f+1VVLxk+IqcNHRvaqa2L1/PlpxwEAgAYrm83Gxx9/vNnjdtttt2jbtm0NJCIXNW3aNAYPHhwTJ06Mrl27Vusay5cvj7Fjx8bEiRPjuOOOi+OOOy4mTpyYcFIAAIC6RxEPKcnk58fWB3439hh9fez48yHReOsO3zyoLqisjMUvvhxTz/lFvHvN9bHmo4/STgQAAA3OCy+8sNljMpmM1fDUiIKCgmqPve2222LFihVfbL/yyitx9NFHx4knnhiTJk1KIh4AAECdpIiHlOUVFETHQw6OvjfdEN8acnY02mqrtCNVTUVFfPr8CzFl2IiYdd2NsbYaq3UAAIANvfvuu7Fw4cLNHterV69o3759DSSC6lm2bFnceuutGz320ksvxZFHHhmnnnpqLF26tJaTAQAA1Lzqf6QZSFReYWF0+t6hsfVB341Pxj0T8x96JErqwy8jKipi0bPPxacvvBhbH/jd6Hr8MdFk663TTgUAAPVWdd4Nn8lkYr/99quBNFB9Y8eOjZUrV27ynIULF0abNm1qKREAAEDtsSIe6pi8wsLo/IPvRb9bRscOPzsjCtvWj19IVJaXxyfjno4pQ86J98fcEus+XZx2JAAAqHfee++9WLBgwWaP69GjR2xVX56uRU5YunRp3H777d943siRIyMvz6+nAACAhsdPOlBH5TVqFNv81w+j3y03xfZnnBaFrVulHalKKsvK4uOn/hWTBw+LD8beFuuW1INV/QAAUEdUZzV8RFgNT51z8803x6pVqzZ5To8ePeL73/9+LSUCAACoXYp4qOPyGzeOLkceEf3GjontTvtRFLRsmXakKqksK4uFTzwZk88eGh/c9qcoWbYs7UgAAFCnffDBBzFv3rzNHtejR4/Y2uuhqGPy8/OjSZMmmzxn1KhRVsMDAAANlp92oJ7Ib9Ikuh591L8L+R+dEgUtWqQdqUoqS0tj4d+fiMlnDY0P77gzSoqXpx0JAADqJKvhaUguuOCCGD9+fJxxxhnRqFGjDY7vtttuceihh6aQDAAAoHYo4qGeKWjWNLoee3T0G3tTdDv5xMhv3iztSFVSUVISHz36eEw+a0jMvvOuKF2xIu1IAABQZ8yePTvmzJmz2eN22WWX6NixYw0kgi3XqVOnuPTSS2P8+PFx2mmnRWFh4RfHRo0aFZlMplrXLSsrSyoiAABAjVHEQz1V0Lx5bHvCcdF/7M2x7QnHRX7TpmlHqpKKdetiwV8fjUlnDok5d98bpStXph0JAABS98ILL1RrnNXw1AfbbLNN/P73v4+XX345TjnllPj2t78dBx10ULWuVVlZGYMGDYpRo0ZV61UOAAAAtUURD/VcQYvm0e3kE6PfrWOi67FHR943vIOvrqhYuzbmP/RITD5raMy974Eo+2xV2pEAACAVc+fOjdmzZ2/2uJ133jk6d+6cfCCoIV27do0rrrgiHnrooWqvhh83blxMmTIl7rvvvthnn33il7/8ZSxYsCDhpAAAAFtOEQ8NRGHLlrHdj06J/reOiS5HHxV5jRunHalKylevjnn3PxiTzhoS8x58OMpWr047EgAA1Cqr4ck1BQUF1RpXWVkZV1555RfbZWVlcc8998TAgQPjwgsvjIULFyYVEQAAYIsp4qGBKWzVKrY/7UfRb+yY2OaoIyKvUaO0I1VJ+apVMfee+2LyWUNi/sN/jfI1a9KOBAAANW7+/PnxwQcfbPa4HXfcMbp06VIDiaDueuqpp+Ltt9/eYH9paWnceeedMXDgwLj88stTSAYAALAhRTw0UI3+P3v3HR5llbdx/J40UiAJhA4JnaG3AAZCcRXbsnZFEXUtSAdpihUVyyoCgjRBUNR1FRZF11VXZUXpLUDoQ++E9JDOTCbvH7q8ICkzQyZPJvP9XNdeZp5Tnnt3xyST33POCQ9Tk0f/qugF81Tv1v4y+fsbHckhtswsHf/kU20dMkKnvvxKBXl5RkcCAAAA3MbV1fB9+/Yt4yRAxWa32zV9+vQS++Tn57u85T0AAAAAlDUK8UAlF1CjupoOfkzRC+aq7p9vlsnFLQDLm+38eR3/6BPFj3xSto2bVWi1Gh0JAAAAKFOnT5/WoUOHnB7XtGlTNWzY0A2JgIrr22+/1b59+0rsU61aNQ0ZMqScEgEAAABAySjEA16iSkSEmg19QtHvzVGdm270nIJ8RoZsP65U/ux5sm3aokKbzehIAAAAQJlYvXq1S+NYDQ9vU1BQoBkzZpTab/DgwapevXo5JAIAAACA0lGIB7xMlVq11HzEUHWZN1t1bugn+XjIt4GsbNl++En5s+fr3H9+lJ0V8gAAAPBgZ8+e1YEDB5we17hxY0VFRbkhEVBxZWRkKDIyssQ+oaGheuKJJ8opEQAAAACUzkMqcADKWmCd2mo+ari6zJut2tf9yXMK8pmZOr7oA8UNG6WEHyjIAwAAwDOxGh5wXI0aNfTxxx/rm2++0bXXXltknyFDhigsLKx8gwEAAABACTyk8gbAXYLq1VWLJ0epy5xZqnVtH8lkMjqSQy4kJ+vwvAXaNmKMzq38r+xsWQ8AAAAPce7cOe3fv9/pcY0aNVLjxo3LPhDgIbp06aJPP/1UX331lXr37n3xenh4uAYPHuzyvFYe8AYAAADgBhTiAUiSghrUV8txT6rz7Jmq2TvWYwry+YmJOjR7nraPfFKJP/+iwoICoyMBAAAAJXJ1NXyfPn3KOAngmbp166bPP/9cX3zxhXr06KFhw4apWrVqLs11/Phxde/eXfPmzVNOTk4ZJwUAAADgzSjEA7hMcGRDmSeOV6dZMxTRs4fRcRyWl5Cgg7Nma9uosUr6dQ0FeQAAAFRIiYmJ2rt3r9PjIiMj1bRpUzckAjxXTEyMli9frhEjRrg8x6xZs5SYmKjXX39dMTExeu+995Sbm1uGKQEAAAB4KwrxAIoU0ihKrSZNVKeZ01Xjmu5Gx3FY3pkzOjBjpraPGa+kNetUaLcbHQkAAAC4aM2aNS6NYzU8UDxfX1+Xxh09elTLly+/+DolJUWvvvqqevfurX/961/Kz88vq4gAAAAAvBCFeAAlCmnSWK2fm6SOM95W9W5djY7jsNxTp3Rg2gztGDtByes3UJAHAACA4ZKTk7Vnzx6nxzVo0EDNmzd3QyLAu82cOVMFReymlpycrEWLFmno0KHasmWLAckAAAAAVAYU4gE4pGqzpmrzwrPq8Pabqh7d2eg4Dss5fkKWt6YpfvxTStm0WYWFhUZHAgAAgJdavXq1S7+PshoeKHuHDh3Sl19+WWKf1NRUhYWFlVMiAAAAAJUNhXgATqnWsoXaTH5B7d96Q+GdOhodx2HZR49p/xtvKX7C00rdGkdBHgAAAOUqJSVFu3fvdnpcvXr11LJlSzckArzbzJkzZS9l57SuXbvy7x8AAAAAl1GIB+CS0FZmtX1lstr/7TWFdWhvdByHZR8+on2vvqGdTz2rtG3bKcgDAACgXKxZs4bV8EAFceDAAX311Vel9nvggQfKIQ0AAACAyopCPICrEtqmtdq9+rLavfaKQtu0NjqOw7IOHtTeV17TrknPK31HPAV5AAAAuE1aWpp27drl9Li6deuqVatWbkgEeLf09HQ1bdq0xD7XXHONmjdvXk6JAAAAAFRGFOIBlImw9u3U7o1X1XbKS6pmNhsdx2GZFov2vDRFu597URm7nN8qFAAAACjNmjVrSt0Cuyi9e/d2QxoA3bt316pVqzR79mw1adKkyD4DBw4s51QAAAAAKhsK8QDKjMlkUnjHDmr/1utq89ILqtqihdGRHHZ+7z7tfuEl7X7hJWXs2Wt0HAAAAFQS6enpio+Pd3pc7dq11aZNGzckAiBJvr6+uuuuu/TLL7/onXfeUaNGjS623XLLLaWumC+OzWZz6cEbAAAAAJUPhXgAZc5kMql6l87q8Pbf1PrF5xTSzLU/YBghY9du7X7uRe15aYrO77cYHQcAAAAebu3atS4V5TgbHigffn5+GjBggH799VdNmzZNUVFRGjt2rMvz/f3vf9eNN96o77//niPQAAAAAC9HIR6A25hMJtXoGq2O06eq1XOTFNKksdGRHJa+I167Jj2nPa+8pswDB42OAwAAAA+UkZGhHTt2OD2uVq1arIYHypm/v78GDhyotWvXyuzicWu5ubmaPXu29u3bp8GDB+vmm2/Wjz/+SEEeAAAA8FIU4gG4nclkUsQ13dVxxttq9cxTCm4UZXQkh6Vv266dTz2jva+9oazDR4yOAwAAAA+ybt06FRQUOD2ud+/eMplMbkgEoDS+vr4uj/3000+VkJBw8fXu3bv16KOPqn///vr5558pyAMAAABehkI8gHJj8vFRRI8YdZo5XeanxiuoYUOjIzksbUuc4sc/pX1vvKXso8eMjgMAAIAKLjMzU9u2bXN6XEREhNq1a+eGRADcKTc3V3Pnzi2yLT4+Xg899JBuvfVWnT59upyTAQAAADCKn9EBAHgfk4+PavaKVUSPGCWvXa8Tny9T3pkzRsdySOqmzUrdtFkRPXso8v4BCvGg1f0AAAAoP6yGB7zLxx9/rMTExBL7JCUlqVatWuWUCAAAAIDRKMQDMIzJ11e1+vZWzV49lfTrGp1c+k/lXbKNX0WWsn6DUjZsVM1ePRV53wAFR3rO6n4AAAC4V1ZWluLi4pweV716dbVv394NiQC4U05OTrGr4S/15JNPKiAgoBwSAQAAAKgIKMQDMJzJ11e1r7tWNfv0UtIvv+rk0uXKL2UlQYVQWKjkNeuUvHa9avXprcj77lVQg/pGpwIAAIDB1q9fL5vN5vS43r17y8eHE+QAT7NkyRKlpKSU2CcqKkr33ntvOSUCAAAAUBFQiAdQYfj4+alOv+tVq28fJf68SieXfaELyclGxypdYaGSfl2tpDVrVfvaPmo44F4F1atrdCoAAAAYIDs7W1u3bnV6XHh4uDp27OiGRADcLSAgQKGhoTp//nyxfcaOHSt/f/9yTAUAAADAaDxqD6DC8fH3V92bblT0e3PU6InHpGrVjI7kGLtdiT//om0jRuvg7HnKO+cBq/oBAABQptavXy+r1er0OFbDA55r8ODB2rhxo8aNG6eqVate0d64cWPdfffdBiQDAAAAYCQ+5QOosHz8/VXnphtVZfRw+d18g1Q1xOhIjrHblbjyv9o2fJQOzVug/KQkoxMBAACgHOTk5GjLli1OjwsLC2M1PODhwsLCNHHiRG3cuFGjR49WcHDwxbbx48fLz8+1TSkvXLhQVhEBAAAAlDMK8QAqPJOfn/y6d1OV0SPkd2M/+YWFGR3JIYUFBTr3w4+KGzZKh997X/mlnBkIAAAAz7ZhwwaXVsP36tVLvr6+bkgEoLxVr15dzzzzjDZu3KgRI0aoQ4cOuuOOO1ye769//aueeOIJ7du3rwxTAgAAACgPnBEPwGOY/P3lF9NdbR9+UCkrf9apL7+SrYQz+CqKQptNCd//R+dW/ld1b7pBDe++SwE1qhsdCwAAAGUoNzdXmzdvdnpcaGioOnfu7IZEAIwUERGh559/Xna73eVjJzZu3KjVq1dLkr777jvdeuutGj9+vFq2bFmWUQEAAAC4CSviAXgc38BANbjzdnVdOE+NHhokv2pXnsFXERVarTr77+8UN3SEjn6wRBfS042OBAAAgDKyceNGl7aQjo2NZTU8UIm5WoSXpGnTpl32+ptvvtF1112nUaNG6dChQ1cbDQAAAICbUYgH4LF8g4LU8J67FL1wvqIGDZRviGecIW+/cEFnvv5GcUNG6NhHn8jqAav6AQAAULy8vDxt2rTJ6XFVq1ZVly5d3JAIgKdbt26dNmzYcMX1wsJCrVixQn/60580ceJEFRYWGpAOAAAAgCMoxAPweH7BwYoccI+6LpyvyPsHyDc42OhIDrHn5+v0l19p6xPDdfyTT2XNzDQ6EgAAAFywadMm5efnOz0uNjZWfn6cGAfgcoWFhZo+fXqJfex2u/z9/WUymcopFQAAAABnUYgHUGn4VQ1R1MD7FL1wnhree7d8AgONjuQQe16eTi3/UnFPDNfxTz+TLSvb6EgAAABwUH5+vjZu3Oj0uJCQEEVHR7shEQBPt2bNmlJ32QgICNDo0aPLKREAd0lKStKwYcPUuXNn3XLLLfrqq6+MjgQAAMoQhXgAlY5/tWpq9OAD6vr+fDW4+075VKlidCSHFOTm6tSy5do6ZJhOfL5MtmwK8gAAABXd5s2blZeX5/S4nj17yt/f3w2JAHiywsLCK86GL8qgQYNUv379ckgEwJ3GjBmjVatWKScnR0eOHNGkSZP0ww8/GB0LAACUEQrxACot/9BQNX74QUUvnK/6d9wmn4AAoyM5pCA7Ryc/W6q4ISN08p9fyJaTa3QkAAAAFOHChQtFnuFcmuDgYHXt2tUNiQB4ury8PDVq1KjELeerVKmiUaNGlWMqAO6wb98+bdu27Yrr3377rQFpAACAO1CIB1DpBYSHqcmjf1X0wnmqd+tfZPKQlUe2rCyd+Ps/FDdkuE59+ZUKXFhpBQAAAPfZsmWLcnOdf2iyR48eCvCQh0QBlK+goCDNnj1bq1at0u23315kQf6hhx5S3bp1DUgHoCytXbu2yOvBwcHlnAQAALgLhXgAXiOgenU1HfyoohfMU73+t8jk52d0JIfYMjN1/KNPFDdkuE5//S8V5OcbHQkAAMDrWa1WrV+/3ulxQUFB6t69uxsSAahMWrRooXnz5mnlypXq37//xeuBgYEaOXKky/Pm83kSqDCK+z3i1ltvLeckAADAXSjEA/A6VSJqqOmQwYp+b67q3nKTxxTkrRnndeyDjxQ3dITOfPNv2S9cMDoSAACA19q6datycnKcHhcTE8NqeAAOa9WqlRYuXKgff/xRN998sx599FHVrl3bpbmSk5PVvXt3/e1vf1NqamoZJwXgjPz8fMXFxV1xvXHjxurZs6cBiQAAgDtQiAfgtarUqqlmw4aoy/zZqnNjP5l8fY2O5BBrWrqOLvpQcUNH6uy338tutRodCQAAwKu4uho+MDBQ11xzjRsSAajs2rZtq8WLF+u5555zeY558+YpOTlZc+bMUUxMjKZOnar09PQyTAnAUVu3bi1yh4pBgwYVeSQFAADwTBTiAXi9wNq11XzkcHWZ965qX3+d5OMZ3xovpKbqyMJFihs2Sgn/+ZGCPAAAQDnZtm2bsrKynB4XExOjKlWquCERAG/h4+Ln1cTERH300UcXX2dnZ2vWrFmKiYnRjBkzdP78+bKKCMAB69atu+JacHCw7rzzTgPSAAAAd/GMahMAlIPAunXVYsxIdZk7S7Wu7es5BfnkZB2ev0DbRozWuZ9Wym6zGR0JAACg0rLZbFq7dq3T46pUqcJqeACGmTt3rvLy8q64npmZqenTpysmJkbLly83IBngnYraWee2225TtWrVDEgDAADcxTOqTABQjoLq11fLcWPUefY7qtmnl+QhW4LlJybp0Jz52j5yjBJ/XqXCggKjIwEAAFQ6rq6Gv+aaaxQYGOiGRABQsoSEBH3yyScl9snIyFCtWrXKKRHg3VJTU7V///4rrg8aNMiANAAAwJ0oxANAMYIbNpR5wjh1fneGImJ7Gh3HYXkJ53Rw1hxtG/WkEn/5lYI8AABAGSkoKChyK9nSBAQEKCYmxg2JAKB0c+bMKfIs6kt17dpVffr0KadEgHdbv369CgsLL7vWrVs3tWzZ0qBEAADAXSjEA0ApgqOi1OrpnazaVwAAIABJREFUCeo0a7oienjOdqJ5Z87q4DvvavuYcUpavVaFdrvRkQAAADza9u3bXTpHuXv37goKCnJDIgAo2enTp/Xpp5+W2m/ixIkyechucICnK+qhPlbDAwBQOVGIBwAHhTRurFbPPK2O77ytGt27GR3HYbmnTuvA9He048nxSl63gYI8AACACwoKClw6G97f3189evRwQyIAKF1GRobatm1bYp+YmBj16tWrnBIB+OP58LVr19YNN9xgUBoAAOBOFOIBwElVmzZV6+efUYdpb6l6dBej4zgs58RJWaZO045xE5WycdMV26ABAACgePHx8crIyHB6XLdu3RQcHOyGRABQujZt2uibb77RRx99pPbt2xfZh9XwQPk5fPiwEhISLrt23333yc/Pz6BEAADAnSjEA4CLqrVorjaTn1eHqX9TeKeORsdxWM6x49r/t6mKH/+UUjdvoSAPAABQCrvdrjVr1jg9zt/fXz179nRDIgBwnMlkUr9+/fT999/rgw8+UJs2bS62xcbGurxrR0FBgaxWa1nFBLzCH1fD+/v7a8CAAQalAQAA7kYhHgCuUjVzS7V9ZbLav/m6wjoUvcKgIso+clT7Xn9TOydOUlrcNgryAAAAxYiPj1d6errT46KjoxUSEuKGRADgPJPJpJtuukk//PCDFi5cqFatWmnixIkuz/evf/1Lffr00dKlS2Wz2cowKVB5/fF8+BtuuEG1a9c2KA0AAHA3CvEAUEZCW7dSu1dfVrvXpyi0bZvSB1QQWYcOa++U17Vr0nNK3xFPQR4AAOASdrvdpbPh/fz8FBsb64ZEAHB1fHx81L9/f/3000/q3r27S3PYbDbNmDFDJ06c0Pjx49W3b18tX76cgjxQAqvVqs2bN192bdCgQQalAQAA5YHDZwCgjIW1a6t2r09Rxq7dOvGPz5W5b7/RkRySaTmgPS9NUWib1ooceJ/CPWh1PwAAgLvs2rVLqampTo/r0qWLqlat6oZEAFA2fHxcX5+zYsUKHTly5OLrY8eO6cknn9SsWbM0fvx43XbbbfL19S2LmECxdu7cqQEDBhS7oGD06NEaNWpUmd7zueee0xdffFFs+2OPPaZJkyYV2RYfH6/s7OyLr81ms7p27Vqm+QAAQMXCingAcAOTyaTwDu3V/m+vqc3LL6pqyxZGR3LY+b37tOfFl7Xr+cnK2LPH6DgAAACGKSwsdOlseF9fX1bDA6i0bDabZs6cWWTbkSNHNGrUKF1//fU6cOBAOSeDt+nQoYNuueWWYts/+OADlx6mK85bb71VYhH+3nvvLbYIL125Lf2DDz5YZtkAAEDFRCEeANzIZDKpeudO6jD1b2r94nOq2ryZ0ZEcdn73Hu1+brJ2T35F5z1kVT8AAEBZ2r17t1JSUpwe17lzZ4WGhrohEQAY74svvtCxY8dK7JOSkqL69euXTyB4tfHjx8vf37/ItuzsbL333ntlcp8FCxbogw8+KLb9lltu0ZQpU0qcY/369Re/Dg0N1a233lom2QAAQMVFIR4AyoHJZFKNrtHqMO0ttX7+GYU0aWJ0JIdlxO/Urmee156XX1WmhRUNAADAe7i6Gr5Xr15uSAMAxrNarXrnnXdK7Td8+HCO50C5iIyMLHFl+WeffaYzZ85c1T2WLl2qGTNmFNvep08fvf322yUe95CZmaldu3ZdfH3nnXcqKCjoqnIBAICKj0I8AJQjk8mkGt27qeOMqWr1zNMKbhRldCSHpW/foZ1PP6u9r76hrEOHjY4DAADgVnv27FFSUpLT4zp16qSwsDA3JAIA4y1btkwnT54ssU9ERIQeeeSR8gkE6LcHP4r72XvhwgXNnj3b5bm///57vfzyy8W2d+3aVbNnzy52Vf7/bNy4UQUFBZJ++9vQAw884HImAADgOSjEA4ABTD4+iuhxjTrNnC7z0xMUFNnQ6EgOS9sap/gJT2vfG28q68hRo+MAAAC4xerVq50e4+Pjw2p4AJVaYGCgateuXWKfkSNHKjg4uJwSAVJYWJiGDRtWbPvXX3+tQ4cOOT3v2rVr9dRTT8lutxfZ3rZtWy1YsECBgYGlznXp+fCxsbFq3Lix03kAAIDnoRAPAAYy+fioZmxPdZ41Qy0njFVQA885Qy910xbFj5uo/W++rexjx42OAwAAUGb27dunxMREp8d17NhR4eHhbkgEABXD3XffrfXr1+ull15SzZo1r2ivXbu2Hn74YQOSwds9+OCDatiw6EUOBQUFDh2pcKkdO3Zo9OjRslqtRbY3bdpUixYtcvgIhkvPhy9pK30AAFC5UIgHgArA5OurWn16q/PsmWoxbowC69U1OpLDUjZs1I4nx2v/1OnKOVHyFoUAAACewNXV8L1793ZDGgCoWIKCgjRkyBBt2LBBL7zwgmrUqHGxbdSoUS6fe52Xl1dWEeGFAgICNH78+GLbV65cqfj4eIfmOnDggIYMGaKcnJwi2xs0aKAPP/zwsvd+SU6dOqXjx49fHNu3b1+HxgEAAM9HIR4AKhCTr69qX9tXXea+q+ZjRqpKnZK3/KtIUtat1/Yx42SZPlM5p04bHQcAAMAlFotFCQkJTo9r3769qlev7oZEAFAxBQcHa/jw4dq4caOeffZZtW7dWoMGDXJ5vrFjx2rAgAHavHlzGaaEN/nzn/+sDh06FNs+bdq0Uuc4efKkHn/8cWVkZBTZXrNmTX344YeqW9fxBRQbNmy4+PXAgQPl48Of5AEA8Bb81AeACsjk66s611+nLvNmq9nI4apS68ot/yqkwkIlr16j7aPH6sDM2co9e9boRAAAAE5xZTW8yWRiNTwArxUSEqJRo0bpp59+cuis7KLs27dP33zzjdatW6c777xTDzzwgOLi4so4KSo7k8mkSZMmFdu+efNmrVmzptj2pKQkPfbYY8UeTxMWFqbFixerUaNGTuXq0qWLrrvuOkVEROiee+5xaiwAAPBsFOIBoALz8fNT3Rv7qcv8OWo6bIgCIiKMjuQYu11Jq37RthFjdHD2XOWdO2d0IgAAgFIdPHhQZ86ccXpcu3btFOEpv6cBgJuYTCaXx86YMeOy17/++qtuu+02PfTQQ9qxY8fVRoMX6dq1q66//vpi29955x0VFhZecf38+fN6/PHHdeLEiSLHBQcHa8GCBWrVqpXTmZo1a6b58+dr/fr17J4DAICXoRAPAB7Ax99f9W65SdHvzVHTIY/L31M+uNntSlz5s7YNH61D895TflKS0YkAAACK5epq+D59+rghDQB4h927d+u7774rsu3nn39W//799dhjj8lms5VzMniqp556Sn5+fkW27dmzR99///1l13JzczV06FBZLJYixwQEBGju3Lnq3LlzmWcFAACVG4V4APAgPgEBqtf/z4peMFdNHn9U/uHhRkdySGFBgc798JPiho3S4fcWKj85xehIAAAAlzl8+LBOnTrl9Lg2bdqoZk0POUYIACqgP66GL0pgYGCxhVXgj5o0aaIBAwYU2z5r1qyLD3ZYrVaNGTNG27ZtK7Kvr6+vZsyYoZ49e7olKwAAqNwoxAOAB/KtUkX1b/uLohfOU+NH/yr/sFCjIzmk0GZTwvc/KG7oCB1ZuFgXUtOMjgQAACDpt22QXcFqeABw3c6dO/XDDz+U2MdkMmncuHHllAiVxejRo1W1atUi244dO6bly5fLbrdr0qRJxe6IYzKZ9MYbb+iGG25wZ1QAAFCJUYgHAA/mW6WKGtxxm6IXzFOjhx+UX7WiP2RWNIU2m85++53iho7Q0cUf6kJ6utGRAACAFzty5IhOnjzp9LjWrVurdu3abkgEAN5h2rRppfa588471aJFi3JIg8qkRo0aeuKJJ4ptnzt3rl566SV9++23xfZ57rnndMcdd7gjHgAA8BIU4gGgEvANClLDu+9U9ML5iho0UL4hIUZHcoj9wgWd+de/FffEcB1b8rGsGRlGRwIAAF7IlbPhJVbDA8DVKCgoUFRUlAICAort4+Pjo7Fjx5ZjKlQmjzzyiOrWrVtkW2JiopYtW1bs2DFjxujhhx92VzQAAOAlKMQDQCXiFxysyAH3qOv78xU58D75BgcbHckh9gsXdHrF19o6ZISOffx3Wc9nGh0JAAB4iWPHjun48eNOjzObzcX+cR8AUDpfX1+99tprWrt2rR566CH5+/tf0efuu+9Ws2bNDEiHyiAwMNClBzkeeeQRjRw50g2JAACAt6EQDwCVkF9IiKLuH6Cu789XwwH3yDcoyOhIDrHn5en0FysUN2S4jn/6mWxZWUZHAgAAlZyrq+H79u1bxkkAwDs1aNBAb775ptauXatBgwbJz89P0m+F+qtZDZ+bm1tWEeHBbr/9drVu3drh/nfffbeeeeYZNyYCAADehEI8AFRiflWrqtGggYpeOF8N77lLPoGBRkdySEFurk4tW66tTwzXic+XyZadbXQkAABQCZ04cUJHjx51elyLFi1Ur149NyQCAO/VsGFDTZ06VatXr9Z9992ngQMHqnHjxi7NlZmZqdjYWD3zzDM6ffp02QaFR/Hx8dHTTz/tUN+bbrpJr776qkwmk5tTAQAAb0EhHgC8gH9oNTV6aJC6LpynBnfeLp8SzuCrSApycnTys6Xa+sRwnVy2XLYcVjQAAICyw2p4AKh4GjVqpBkzZujNN990eY4PPvhA586d0yeffKJevXrp+eef19mzZ8swJTxJhw4dVL169RL79OrVS9OmTZOvr285pQIAAN6AQjwAeBH/sDA1fuRhRb8/X/Vv+4vnFOSzs3Xi088UN2SYTn2xQgVsMQgAAK7SqVOndPjwYafHNW/eXA0aNHBDIgDApVxdlXz+/HktWLDg4usLFy5oyZIlio2N1eTJk5WYmFhWEeEB8vPzNXz4cKWlpZXY77rrrlOAh/yNBAAAeA4K8QDghQLCw9Xk8UfV5b25qtf/zzL9fgZfRWfLzNLxj/+uuKEjdHrF1yrIzzc6EgAA8FC//vqrS+NYDQ8AFdvixYuVkZFxxfX8/HwtXrxYPXr00MKFCw1IhvJms9n05JNPavPmzaX2nTdvnrKyssohFQAA8CYU4gHAi1WJqKGmQx5X9IJ5qnvLzR5TkLdmnNexJR8rbsgInfnXvynIAwAAp5w5c0aHDh1yelzTpk3VsGFDNyQCAJSF9PT0UovseXl5qlOnTjklglHsdrsmTZqkVatWOdQ/OTlZixYtcnMqAADgbSjEAwBUpWaEmg17Ql3mz1adm26QyUPORLOmp+vo4g8VN3Skzn77newXLhgdCQAAeABWwwNA5fT+++/r/PnzJfYxm836y1/+Uk6JYJQpU6bo3//+t1NjlixZonPnzrkpEQAA8EYU4gEAFwXWrq3mI4apy/zZqt3vOsnHM35MWNPSdGThYsUNG6Wz3/8gu9VqdCQAAFBBJSQk6MCBA06Pa9y4saKiotyQCABQFlJTUx1a0Txu3Dj5esjD53DNjBkz9NlnnxXbHhwcXOT13NxczZo1y12xAACAF/KMCgsAoFwF1qmjFqNHqsu8d1XrT9d6TEH+QkqKjry3UNuGj1LCjytlt9mMjgQAACoYV1fD9+nTp4yTAADKUmZmpqKjo0vs07p1a/Xv37+cEsEIixYt0oIFC4ptv/vuuzVz5sxi21esWCGLxeKOaAAAwAt5RmUFAGCIoHr11HLsaHWePVO1+vaRTCajIzkkPylZh+fO17YRo3Vu5c8qLCgwOhIAAKgAzp07p/379zs9LioqSk2aNHFDIgBAWWnUqJH+8Y9/aMWKFYqNjS2yz4QJE+TjIQ+aw3n//Oc/9fbbbxfbfuONN+rVV19V37591a1btyL72O12TZ061V0RAQCAl+E3TwBAqYIbNlDL8U+q87vvqGavov+gURHln0vUodlztW3kGCWu+oWCPAAAXm716tUujeNseADwHN27d9eyZcu0fPlyxcTEXLzerl073XzzzS7NWVhYqNzc3LKKCDf47rvvNHny5GLbe/bsqenTp188lmDixInF9l27dq3WrVtX5hkBAID3oRAPAHBYcFSkzE+NV6dZMxTRI6b0ARVE3tkEHZw5W9tHj1XS6jUU5AEA8EKJiYnau3ev0+MiIyPVtGlTNyQCALhTjx49tHz5ci1dulTdunXThAkTZHJxl7dffvlFMTExWrBgAQX5Cmj16tV6+umnZbfbi2zv2LGj5syZo4CAgIvXOnXqpH79+hU759SpU4udDwAAwFEU4gEATgtp3EitnnlKHd+ZphrXFL2dW0WUe/qMDkyfqe1PjlfyuvUq5EM1AABeY82aNS6N42x4APBcJpNJvXr10ooVK3TDDTe4NEdhYaGmTZum5ORkTZkyRT179tTixYuVl5dXxmnhiq1bt2rMmDGyWq1Ftrdo0UILFy5USEjIFW3jx4+/uEL+j/bv36+vv/66TLMCAADvQyEeAOCyqk2bqPVzz6jj9Kmq3jXa6DgOyz15Spap07Vj7ASlbNhIQR4AgEouOTlZe/bscXpcgwYN1Lx5czckAgCUJ5PJ5PJq+JUrV2rHjh0XXycmJmry5MmKjY3VkiVLlJ+fX1Yx4aR9+/Zp2LBhxe5S0KBBAy1evFjh4eFFtjdr1kx33HFHsfPPnDmTBy4AAMBVoRAPALhqVZs3U5sXn1OHt99UeJfORsdxWM7xE9r/5tuKH/+0UjZtUWFhodGRAACAG6xZs8aln/OshgcA71ZYWKjp06cX2ZaQkKDnn39evXr1UlxcXDknw9GjR/X4448rMzOzyPaaNWvqww8/VJ06dUqcZ8yYMapSpUqRbQkJCVqyZMnVRgUAAF6MQjwAoMxUa9lCbV96Qe3ffF1hHTsYHcdh2UePav8bb2rnxElK3RpHQR4AgEokNTVVu3btcnpcvXr11LJlSzckAgB4ih9//LHUnyHp6elq3Lhx+QSCJOns2bN67LHHlJKSUmR7aGioFi9erEaNGpU6V926dTVo0KBi299//32lpqa6nBUAAHg3CvEAgDIX2rqV2k15Se3emKLQdm2NjuOwrEOHte/VN7Tz6WeVtn0HBXkAACoBVsMDAFxht9s1bdq0Uvs99thjioiIKIdEkH57wO7RRx/VmTNnimwPCgrSe++9p1atWjk859ChQ1WtWrUi27KysjRnzhyXsgIAAFCIBwC4TVjbtmr/+hS1ffVlhbZpbXQch2UdOKi9L7+qXc++oPT4nRTkAQDwUGlpadq5c6fT4+rUqePUH/ABAJXP999/r71795bYp2rVqho6dGg5JUJmZqYef/xxHT16tMh2f39/zZo1S9HR0U7NGx4ersGDBxfbvnTp0mLvCQAAUBIK8QAAtwvv0F7t3nhVbV+ZrGpmz9niNXPffu2Z/Ip2Pz9ZGbv3GB0HAAA4ac2aNbLb7U6PYzU8AKBKlSqlbjn/+OOPq0aNGuUTyMvl5eVp6NChxT4c4ePjo7feekt9+/Z1af6//vWvqlWrVpFtNptN06dPd2leAADg3SjEAwDKhclkUninjmr/1htqM/l5VW3R3OhIDju/Z692Pz9Zu198Wef37Tc6DgAAcEB6erri4+OdHle7dm21adPGDYkAAJ6kX79++vXXXzVjxgxFRUVd0V6tWjUNGTLEgGTex2q1avTo0YqLiyu2z4svvqj+/fu7fI+goCCNHDmy2PaffvpJW7dudXl+AADgnSjEAwDKlclkUvXoLurw9ptq/cKzCmnaxOhIDsvYuUu7nnlee16aokzLAaPjAACAEqxdu9al1fC9e/d2QxoAgCfy8/PTfffdp9WrV+vtt99WgwYNLrYNGTJE4eHhLs2bm5tr6BFodqtVWYcOq2D3Htm275Bta5xs23coZe06ZR48JLvVali2P7Lb7Xr66ae1evXqYvuMHTtWDzzwwFXf69577y1xF4SpU6de9T0AAIB38TM6AADAO5lMJtXo1lXVu0YrddNmnfhsqXKOHTc6lkPSd8QrfUe8qkd3UeTA+1TNg1b3AwDgDc6fP68dO3Y4Pa5mzZpq27atGxIBADyZv7+/HnjgAd1zzz36/PPP9fHHH5d4pnhpXn75ZcXHx2vChAnq16+fTCZTGaa9kt1qVermLUrfHq+sw4eVc/yECgsKruh3+Pd/mnx9FdwoSlWbNVN4546q0b2bfPz93ZqxOC+//LK+++67YtsfffRRDR8+vEzu5efnpyeffFLjxo0rsj0+Pl7fffed/vznP5fJ/QAAQOVHIR4AYCiTyaSImGtUo3s3pWzYpJOfL1XOiZNGx3JIWtw2pcVtU43u3RQ5cICqNm1qdCQAAKDfVsMXFFFgKE3v3r3dXgwBAHiugIAAPfzww3rooYdc/nlx8uRJff7557LZbHrkkUfUqVMnTZw4Uddee22Z/wzKT05Rwg8/6txPK2VNS3d4XGFBgbKPHFX2kaM699NK+VcPV50b+qnuTTeqSs2IMs1YkrfffltLly4ttv2uu+7SpEmTyvSet9xyixYtWqQ9e/YU2T5jxgz169dPAQEBZXpfAABQObE1PQCgQjD5+KhmbA91mjVDLSeOV1DDBqUPqiBSN29R/LintP/Nqcr2kFX9AABUVpmZmdq2bZvT4yIiItSuXTs3JAIAVDZXUzCfNWuWbDbbxdc7duzQgw8+qNtvv12rV68uky3rbVlZOjh7rrY+MUynli13qghfFGtauk4tW66tTwzTwdlzZcvKuuqMpVm4cKEWLVpUbHu/fv302muvlfnDCyaTSRMnTiy2/eTJk/rHP/5RpvcEAACVFyviAQAVisnHR7V6x6pmzxglrVmnk0uXKe/MWaNjOSRlwyalbNikiNgeirp/gIKjooyOBACA11m3bp3Lq+F9fHhWHQDgPseOHdOyZcuKbIuLi9PAgQPVvXt3/f3vf1dISIhL90jdslWH5r4na1ra1UQtmt2uxJU/Ky1uu5qPHKYa3bqW/T1+N2TIEA0ZMsRt85ekZ8+eslgshtwbAABULhTiAQAVksnXV7Wv7aNavWOV9OtqnVz6T+UlnDM6lkNS1m1QyvqNqtk7VpH33avghg2NjgQAgFfIyspSXFyc0+OqV6+u9u3buyERAAD/b9asWaU+LBYUFORSEd6Wk6sjCxcpadUvLqZznDUtTfte+5tq/elaNRs6WL5BQW6/JwAAgCeq9IV4s9lcS1JbSU0kVZcULClPUoako5J2WCyWZOMSAgBKYvL1Ve3r/qSafXoradUvOrlsufITk4yOVbrCQiWvXqvktetVq09vRd53j4Lq1zc6FQAAldr69esv2+7XUayGBwC425EjR7R8+fJS+02YMMHpua3nM7V3ymvKOnjIlWguS1r1i3JPnVabyc/LP7Raud4bAADAE1S6QrzZbPaRdJOk2yT1k9TcgTFbJX0qaaHFYslxb0IAgCt8/PxU54Z+qnVtXyX+d5VOLluuCykpRscqnd2upF9+VdLqNar9p2sVOeBuBdata3QqAAAqnezsbG3dutXpceHh4erYsaMbEgEA8P/eeecd2e32Evtcd911io6Odmpe6/lM7X5hsnKOn7iaeC7LOnhQu1+YrHavTaEYDwAA8AeV8ZH/CZK+kzRMDhThf9dV0juSDpjN5lvdFQwAcPV8/P1V9+YbFb1grpoOGayAGjWMjuQYu12J//1Z20aM0aE585WXmGh0IgAAKpUNGzbIarU6Pa5Xr16shgcAuFVhYaEaN25c6pbzzq6Gt+Xkau+U1wwrwv9PzvET2jvldRXk5hqaAwAAoKKpjH9tKPzD66OSlkp6QdJgSQMlDZU0XdKmP/RtIOkrs9k80t0hAQBXx8ffX/X636LoBXPVZPBj8g8PNzqSQwoLCnTup5XaNny0Ds9foPwkTkcBAOBq5eTkaMuWLU6PCwsLU6dOndyQCACA/2cymTRhwgRt3LhRo0aNUnBw8BV9brjhBqd/Jh1ZuKjct6MvTtbBgzq8YJHRMQAAACqUSrc1vaRdkrbpt+L7lxaLpcTfRs1mc1NJz0l6/PdLPpLeNZvNOy0Wyxq3JgUAXDWfgADVv7W/6tzYTwn/+UGnv1gha8Z5o2OVqtBmU8J/ftS5lT+r1g3Xq7BVS5mqsY0fAACu2Lhxoy5cuOD0uNjYWPn6+rohEQAAV6pRo4aeffZZPfHEE5o/f76WLFmivLw8SdLEiROdmit18xYlrfpFkpRXUKDACvDzLGnVL6oZ20M1unU1OgoAAECFUOkK8RaL5QdJPzjR/4ikwWaz+b+S/q7fCvE+kt6T1NYtIQEAZc63ShU1uP021b3pRp397j86/eVXsmVmGh2rVIU2mxK//0H6caV8u3aRX2wPmapWNToWAAAeIzc3V5s3b3Z6XLVq1dS5c2c3JAIAoGQ1a9bUiy++qKFDh2ru3LlKTk5Wu3btHB5vy8rSoXkLJElWu10T9uxUi5Cquqd+QzUMCnJXbIccmvueusyZKT8+1wIAAFTKreldYrFYPpP0yiWX2pjN5i5G5QEAuMY3MFAN77pD0QvnK+rBBzznw39BgQo2bVH+u/Nk/fG/smZkGJ0IAACPsHHjRuXn5zs9rlevXvLzq3TPpgMAPEjt2rX1yiuvaM6cOU6NO/rhR7KmpUmSViUnKulCvtanpWjCnni9e+SQzuQZd1a7NS1NRz/8yLD7AwAAVCQU4i83XVLaJa+vNSgHAOAq+QUHKfLeuxW9cJ6iHrhfviFXnsFXIdlsKti4SfEjxujYR5/Ier7ib7MPAIBR8vLytGnTJqfHVa1aVV268Nw1AKBiMJlMDvfNT05R4s+/SJIu2O368uyZi22FktamJmvc7njNPXpICb9ve1/eEn/+RfnJKYbcGwAAoCKhEH8Ji8WSLenSPQ0bGJUFAFA2/EJCFHnfveq68D1F3nevfA3eps9R9vx8nf7yK219YriO//0fsnrANvsAAJS3TZs2ubQaPjY2ltXwAACPlPDDj5LdLkn6b1KiUq0XruhTKOkBbxxkAAAgAElEQVTXlGSN3b1D/zh1opwTSrLbde7Hn8r/vgAAABUMhfgrpV7ytYcsnwQAlMavaoiiHrhf0e/PV8N77pJPYKDRkRxiz8vTqX9+obghI3Tis6WyZWUbHQkAgAohPz9fGzdudHpcSEiIoqOj3ZAIAAD3slutOvfTSkm/rYb/KuF0yf0l1QwIKIdkV0r48SfZbTZD7g0AAFBRUIi/0qWr4BMMSwEAcAv/atXU6KFB6vr+fDW46w75VKlidCSHFOTk6OTny7R1yHCdXLZctpwcoyMBAGCozZs3K8+FLXd79uwpf39/NyQCAMC9UjdvkTUtXZL0U9I5pVmtJfaPCAjQn2rWLo9oV7CmpSt10xZD7g0AAFBRUIi/hNlsDpXU7ZJLq43KAgBwL//QUDX+60OKXjhP9W+/VT4GrRJwVkF2tk58+pnihgzXqeVfqiA31+hIAACUuwsXLmjDhg1OjwsODlbXrl3dkAgAAPdL3x4vScorKNBXl5wNX5y76zWQv49xf/5N377DsHsDAABUBBTiLzdO0v8ODz4kaY2BWQAA5SAgPFxNHntE0Qvmqd6t/WXykBVytswsHf/kU20dMkKnvvxKBS6sCAQAwFNt2bJFuS48jNajRw8FeMjDdwAA/FHW4cOSpDx7gdpUq1Zi31oBVXRtRK3yiFWs/+UFAADwVhTif2c2m++Q9MIllyZYLBYOMgIALxFQo7qaDn5M0Qvmqu6fb5bJz8/oSA6xnT+v4x99orghI3T6629UkJ9vdCQAANzKarVq/fr1To8LCgpSt27dSu8IAEAFZL9wQTnHT0iSwv0DNK5ZS01r00HXVK9RZP+76zeQn4Gr4SUp58RJ2UvZPh8AAKAy84wqgxuZzeZakp6XNFr//2DCFIvF8i/jUl0dm80mk8lkdAygTNhsVz4PU9Q1oKz4hIYq6rFHVOfWv+jMl18p+edVKiwoMDpWqawZGTr2wRKd/vIr1bvrDtXud53HbLcP78D3c3gD3ufu4efnd9nnm61btyonJ8fpeWJiYlSlSpWLrwsLC/n/xwW8z+ENeJ+jIso6fOSKz6ZRwcGa0KyljuVka9mZU9qaniZJqlOlivrUqGlEzMsU2mzKOHRYVZs3MzoKvBTfz+ENeJ/DG3jye9pUWFhodIZy9fs58GZJXST9WdKNkgJ/by6QNNlisbxhUDynxMXFNZB0yugcAFCZ2dPTVbBmnQp27JQ86WdmtWry69VTvp07eszqfgAA/igyMlK1a9e++Npqterdd99VVlaWU/MEBgZq7NixlxXiU1JSdOzYsbKKCgCAWxXs3iPrl1+X2Odwdpb+eeaUYqpH6NqaxW9Lf9h6QR3atFG1Zk0V3ChK9gtWnfnXN7qQklrWseV/1+3ybde2zOcFAACQ1DA6Ovq00SFKUqn/Mm82m5tK+kJSiH4rttf4/euibJE0zmKxrCuneAAAD+ATHi6fW/vLN7anbGvWyr5zt2cU5DMzZfv+B9nWbZBf71j5duogk6+v0akAAHCYv7+/ata8fDXftm3bnC7CS9I111xzxWr4s2fPXnVGAADKS6EDW7w3C6mqZ1q00qULr/xCQ1W1aROFNGmskCZNFNS0sWLq15fvHz4f1rimm7YNH13mn3cLrZ67gg0AAOBqVepCvKQoSZ1K6ZMn6W1Jb1osFuf3NwQAeAWfGtUVcPutsvfqKdvqdbLv2m10JMecPy/bt9+rYN16+fbuJd8O7SjIAwA8Qt26deVzydm2NptN69Y5/9x0lSpVFBMTc9m1tLQ05efnX3VGAADKTWlHpplMCqxTWyFNmyikSZPf/9lYVSIiHJo+qF49+YeFyZqefvVZL1VAIR4AAHivyl6IT5dkU8n/PQMlvShpjNlsfl+/nQ+fWR7hAACexyciQgF33vZ7QX6t7Hv2Gh3JIYXpGbJ9860K1q6XX59e8mnfVqZLihsAAFQkfn5+V6yG3759uzIznf+o1r17dwUGBl52jdXwAACPc8kD1SY/PwVHRv5WbG/620r3kCaN5Rcc7PL0J44e0/cHLbo2opb8yvKzom9l//MzAABA8Sr1b0IWi2WHJP//vTabzcGSqkqqL6m1pF6S7pRUT1KYpImS7jSbzddZLJYT5Z+4bLRu3Vr+/v6ldwQ8gM1m0969lxc627RpIz/OvEZFcP11yjlxUqeXLVfaxk1Gp3FIYVqarF9/o8AtW1X/3rsV0bOnTL4U5OF+fD+HN+B9XnZ8fHwuWw1fUFCgtWvXOj1PQECAevTocdk1u92uli1bXnVGb8X7HN6A9zkqGpPJpJzQMOU2aaqqTZsoKLKhfMr4/bjm44/1yakTOpCVpRFNmpXZvI2aNVVEhw5lNh/gDL6fwxvwPoc3yM3N1cGDB42O4RKv+jfx963ncyQlStoh6TOz2fykpMcl/U1SdUnNJP1gNpu7WiyWbMPCXgU/Pz8K8ajUeI+jIglr1lRhzz6t7KPHdOKzpUrdtNnoSA7JO3NWR2bN0dkvvlLUwAGK6NmDFfIod3w/hzfgfV42duzYofPnzzs9rlu3bgoKCrrs2h+L/Lh6vM/hDXifw2ihLZortEVzl8ZarVadO3dOCQkJSkhIUGxsrKpXr36xPe/cOTWJ36257Tsrt7Qt8J0U0rAh/+6gQuH7ObwB73NUNlar1egILvOqQnxRLBaLTdICs9m8VtIqSbUktZL0mqRxRmYDAHiOkCaN1fq5Sco6fEQnPluqtC1bjY7kkNxTp2R5e4aCG0Up8v4Bioi5hoI8AKBCKSgo0Jo1a5we5+/vr549e7ohEQAAFVd2dvbFgvv//pOSkqLCwkJJUqNGjS4rwkvSqeUrVFhQoKp+fqpahisoTX5+CmncqMzmAwAA8DReX4j/H4vFssdsNo+UtOz3S0PNZvPrFosl2chcAADPUrVZU7V54VllHjiok58vVVrcdqMjOSTn+AlZ3pqmkCaNFTnwPtXo3k0mk8noWAAAKD4+XhkZGU6P69atm4Kv4qxcAAAqutTU1CuK7pmZmSWO6dOnz2Wv85OSlPjzKrfkC46KlA8rMgEAgBejEH+55ZJOSWooKUhSf0kfGZoIAOCRqrVsoTaTX9D5/Rad/Gyp0nfEGx3JIdlHj2n/G28ppFlTRT1wv6pHd6EgDwAwjN1ud+lseD8/P1bDAwAqjYKCAiUmJl5WcD937pzy8/OdmicyMlJNmza97NqpL1ao0GYry7gXVW1WdmfNAwAAeCIK8ZewWCyFZrN5laSHfr/USxTiAQBXIbSVWW1fmayMPXt18rOlyti12+hIDsk+fET7Xn1DVVu0UNQD9ym8cycK8gCAcrdz506lpaU5Pa5r164KCQlxQyIAANwrLy/vilXuSUlJstvtVz33FavhU1J0buXPVz1vccI7d3Lb3AAAAJ6AQvyVzl7ydV3DUgAAKpWwtm0U9toryti1Wyf+8bnO791ndCSHZB08qL2vvKZqZrOiHrhPYR07UJAHAJQLu93u0tnwrIYHAHiKjIyMK4ru6enpbrlXgwYN1Lx588uunf7yaxVarW65n3/1cNW4pptb5gYAAPAUFOKvFHTJ1z6GpQAAVEph7dup3RuvKiN+p078Y6kyLRajIzkk02LRnpemKLRNa0U9cL/C2rczOhIAoJLbvXu3UlNTnR7XpUsXVatWzQ2JAABwjd1uV3Jy8hVF99zc3HLL8MfV8BfS0nTux5/cdr+6N94gHz/+9AwAALwbvw1dKfKSr08blgIAUGmZTCaFd+qosI4dlL59h45/+pmyDx02OpZDzu/dp90vvKSw9u0U9cD9Cm3T2uhIAIBKqLCw0KXV8L6+voqNjXVDIgAAHGO1Wi+e4X727FklJCQoMTFRNjedw+6IevXqqWXLlpddO73ia9kvXHDPDX18VOemG9wzNwAAgAehEH8Js9kcKOn6Sy4dMCoLAKDyM5lMqt6ls0LatdWOL1bI9utqFZ5NMDqWQzJ27dauZ19QeKeOihx4n0JbmY2OBACoRHbv3q3k5GSnx3Xu3FmhoaFuSAQAwJWys7MvW+F+9uxZpaamqrCw0Ohol+ndu/dlr60ZGUr4z49uu1/t665VlYgIt80PAADgKSjEX+4xSZfuYfiFUUEAAN7DZDLJt2Vz+bRoJvuBg7L9slqF5xKNjuWQ9B3xSt8Rr+rRnRU58H5Va9G89EEAAJTC1dXwvXr1ckMaAAAuZ7fbtWTJEp08edLoKKWqU6eOWre+fCez019/I3t+vlvuF1Cjhpo8+le3zA0AAOBpOAP9d2azuY2kty659F+LxXLUqDwAAO9jMpnka26pgCGPq/nEcQqOiix9UAWRFrddOydO0t7X3lDW4SNGxwEAeLA9e/YoKSnJ6XEdO3ZUWFiYGxIBAHA5Hx8f3XzzzfL19TU6SqmuWA1/PlMJ333vtvs1GzlMflWrum1+AAAAT0IhXpLZbL5W0hpJ//stMV/SSMMCAQC8mslkUo2Ya9Rp1gyZnxqvoIYNjY7ksLQtcYof/5T2vfGWso8eMzoOAMADubIa3sfH54pCAwAA7lS/fn3ddNNNRscoUa1atdS2bdvLrh34coUKcvPcc78/XasaXaPdMjcAAIAnqlRb05vN5q8kHZT0qcVi2eFA/4aSJkkaof9/KKFQ0giLxWJxW1AAABxg8vFRzV6xiugRo+S163Xi82XKO3PG6FgOSd20WambNiuiZw9F3j9AIY2ijI4EAPAA+/bt07lz55we16FDB4WHh7shEQAAxevWrZtOnDih3bt3Gx2lSH98SC0jI0P3vvmGOgZU0eCoJgoswxX9VVu0ULOhg8tsPgAAgMqgUhXiJd0s6XZJE81mc4KktfqtMH9CUrakC5JCJUVKipXUR5f/b3BB0jCLxfJheYYGAKAkJl9f1erbWzV79VTSr2t0cuk/lZeQYHQsh6Ss36CUDRtVs1dPRd4/QMEetLofAFD+Vq9e7fQYk8nEangAgGFuvfVWJSQkKDk52egol4mIiFC7du0uu7Zo0SJlZGbqZLBdVXzKbqPU4EZRajP5efkGBZXZnAAAAJVBpSnEm81mP0n+l1yqK+keJ6ZYrd+K8PvKNBgAAGXE5Our2tddq/9j776jq6rT/Y9/zklPICQBQiCEIiBVWuhdpAhKJ1QLRYiA6Og4OuWO19E7/q46IzoqJYCChRY6Agqi9N6LdBACIQUSIAnpye+PuTJGEnJO2Cc7J3m/1pq1PPt7vs/+OAtDkuc8312pSyfFb96iqMVLlR4XZ3aswuXm6vq2Hbq+Y5cqd+mkkOFh8qpWzexUAIAS5vTp04opwgfNHnnkEQUEBDggEQAAhXN3d1dYWJjmzJmjzMxMs+Pc1blzZ1kslruvk5KSNHfuXEnS0KrBedYeRLl69dTojb/Izbe8IfUAAABKk1LzjPjTp09nSRomaYWkWzZuS5S0QFLH06dPd6UJDwBwBlZXV1Xp8ZhaTv+X6kwOl3ulSmZHsk1OjuI3b9XBKS/p7EcfK/Wac0z1AwCKR1Gn4bt06eKANAAA2C4wMFB9+/Y1O8Zd/v7+euSRR/Jc+/zzz3Xr1i3V9PJWKz9/Q+5T+dFuavL2f9OEBwAAKECpmYiXpNOnTy+TtKx+/foWSXUl1de/J+P9JHn839tuSroh6YSk46dPn841IysAAA/K6uamoN69FNj9UcV+v0lXIpcp40aC2bEKl5OjuB82K27zVgV2f1Qhw4bKs0qg2akAACY6e/asoqOj7d7XpEkTVaxY0QGJAACwT/PmzXX58mUdOnTI7Cjq3LmzrL86ej4lJUURERGSpCHVHnwa3s3fX3WnPK+A1q0eqA4AAEBpV6oa8b/4v+b62f/7HwAApZrVzU1V+zyuKo91V8yG73Vl6TJlJt40O1bhcnIU9/0mxf+4WYE9HlNI2GB5VK5sdioAgAl4NjwAoDTo27evoqOjFRsba1oGPz8/NW3aNM+1efPmKTExUSGeXmrj9wCPc7FaFdi9m2qPfVau5co9WFAAAIAyoFQ24gEAKIus7u6q9mRfVen5mGK+3aCry1Yo85atT2sxT252tmK/26C4TT+oSq8eqj50sDyYbgSAMuP8+fO6cuWK3fsaNWqkynyACwBQgri6umrYsGGKiIhQenq6KRk6deokFxeXu69TU1M1a9YsSf+ehrcWYRrezd9PQb16qkrvnvysBgAAYAca8QAAlDIuHh4KHtBPQb176tq6b3V1xSpl3b5tdqxC5WZlKWbdt4rduElBvXuq+pDBcg8w5tmFAICSa8uWLUXax7PhAQAlUUBAgPr166elS5cW+719fX3VvHnzPNeSkpLUokULXTh5Sv3Dhin14kXduRyl3KysAutYXF3lXSNE5erUkV+L5gpo21pWV36NDAAAYC++gwIAoJRy8fRU9cEDVbVPb11bu15XV65SVlKy2bEKlZuZqWvfrFPshu8V1Ke3ggcPkrtfBbNjAQAc4OLFi4qKirJ7X8OGDRUYGOiARAAAPLjGjRtr27ZtxX5EfceOHfNMw0tSYGCg5s+fr5SUFPn4+EiScjIzdevceZ3du1e5mVlSdpbk4qqadR6ST/Xq8qlVU1Y3t2LNDgAAUBrRiAcAoJRz8fJS9aGDFdT3cV37Zp2urlyt7JQUs2MVKicjQ9Gr1ijm2w2q+kQfBQ8aIDdfX7NjAQAMxDQ8AKC0ci3mCfJy5cqpZcuWBa7/0oSXJKubm8rVrSOXO3l/LqzYtKncaMADAAAYxmp2AAAAUDxcvb0VMmyoWkXMUMiIYXLx9jY7kk1y0tN1dflK7Z8wSZe+/FqZSUlmRwIAGODSpUu6dOmS3fvq16+voKAgByQCAMAYJ06c0NWrV4v1nh07diz25j8AAADuj0Y8AABljGs5H9UYOVyhEdNVPWyIrJ6eZkeySU5amq4sXa4DEybp8oJFykou+VP9AICCFXUavmvXrgYnAQDAGLm5udq8ebOWLVtWrPf18fFRaGhosd4TAAAAhaMRDwBAGeVWvrxqPjVKrWbPUPCQQbJ6eJgdySbZqamKWhyp/ROfV9TiSGXduWN2JACAnS5fvqyLFy/ava9evXqqWrWqAxIBAPBgUlJS9NVXX2nLli3Kzc0t1nt36NCBI+UBAABKIBrxAACUcW6+vqr1zFMKjZihagP7y+rubnYkm2Sn3NHlBYt0YMIkRUUuU9adVLMjAQBstHXr1iLtYxoeAFASXbp0SbNmzdKFCxeK/d7e3t5q1apVsd8XAAAAhaMRDwAAJEnufhVUe+yzCo2Yrqr9npTFSSYqspKTdfmrBTowcZKuLF+p7LQ0syMBAO7jypUrOn/+vN376tSpo+DgYAckAgCg6Hbs2KEvvvhCSUlJpty/ffv2cneSD1MDAACUNTTiAQBAHu7+/nroubEKnTVdVZ/oI4urq9mRbJKVlKRL87/UgYmTdXXVamWnp5sdCQCQD6bhAQClQWpqqhYuXKjvv/9eOTk5pmTw9PRU69atTbk3AAAACkcjHgAA5MujYoAemvicQmd+qqDHezlNQz7z1i39/Nl8HQifrOg13ygnI8PsSACA/xMdHa2zZ8/ava927doKCQlxQCIAAOwXHR2tiIgInTlzxtQc7dq1k4eHh6kZAAAAUDAa8QAA4L48KldSnUnhajnjY1Xp1UMWFxezI9kkM/GmLs75XAfCp+ja2vXKycw0OxIAlHlMwwMAnN2+ffv02Wef6ebNm6bm8PDwUNu2bU3NAAAAgPujEQ8AAGziGRioulMmqeX0fynwse6S1Tm+jchISNCFiDk68PwLivl2Aw15ADBJTEyMTp8+bfe+WrVqqWbNmg5IBACA7TIyMrRs2TKtW7dO2dnZZsdR27Zt5enpaXYMAAAA3Idz/AYdAACUGJ5BQar34hS1/PQjVe7W1Xka8tev6/yMWTo4eapiN36vnKwssyMBQJmyZcuWIu3r0qWLwUkAALBPXFycIiIidPz4cbOjSJLc3d3Vrl27PNcuXLig1NRUkxIBAAAgP87xm3MAAFDieFWrpodfflEtPp6mSl06SRaL2ZFskh4Xr3OfzNChKS8q7ocflVsCplkAoLSLjY3VqVOn7N5Xo0YN1a5d2wGJAACwzeHDhzVnzhzduHHDkHru7u7q2rWrhg0bpgYNGhSpRps2beTl5ZXn2oQJE9S+fXsdO3bMiJgAAAAwAI14AADwQLyrV1f937+sFv/6QBU7tjc7js3SYmJ19qNPdPCFlxS3eSsNeQBwoKI+G55peACAWbKysrR69WqtWrVKmQY93qpy5cqaMGGCunXrpoYNG2r48OFq1KiRXTXc3NzUvn3en7vWrl2rU6dOKTc3V3Xr1jUkKwAAAB6cq9kBAABA6eBdo4YavPaqUn7+WVGLlujGrj1mR7JJWvQ1nZ32ka5ELlXI8GGq1KmDLE5y3D4AOIP4+HidPHnS7n3Vq1dXnTp1HJAIAID7u3HjhiIjIxUbG2tYzaZNm+rJJ5+Um5tbnuv9+/dXTEyMEhISbKrTunVreXt757n20UcfSZImTZp0z6Q8AAAAzMNvmQEAgKF8atVSgz++pmbT3ldAm9Zmx7FZ6pWrOvPPaTr80iu6vmOXcnNyzI4EAKXC1q1blZuba/c+puEBAGb46aefNHv2bMOa8K6ururXr58GDRp0TxNekjw8PBQWFiZX18LnpVxdXe+Zht+wYYNOnDihgIAAPf3004ZkBgAAgDFoxAMAAIco99BDaviXP6rpP96Vf2hLs+PY7M7lKJ1+7x86/PKrurF7T5GaRwCAf7t+/bpOnDhh975q1aqpXr16DkgEAED+srOz9e233yoyMlLp6emG1AwICND48ePVsuX9fx4KCgpS3759C60XGhqqcuXK5bn24YcfSpLCw8Pl4+NT9LAAAAAwHEfTAwAAhypfr64avfEXJZ0+o8sLFunm4SNmR7LJnZ8v6dT/e08+D9VWjVEj5N8qVBaLxexYAOBUtm3bxjQ8AKDEu3XrliIjI3X16lXDajZs2FADBgyQh4eHTe9v0aKFLl26pCNH8v95ydXVVR07dsxzbdOmTTpy5Ij8/Pw0ZsyYB40MAAAAg9GIBwAAxaJ8/YfV+G9v6PbJU7q8YJFuHT1mdiSbpFy4qJP/8/9Url5d1Rg5XH4tW9CQBwAbJCQk6Ngx+7/WV61aVfXr13dAIgAA7nX27FmtWLFCqamphtSzWq3q2bOn2rVrZ/feJ554QteuXVNcXNw9ay1atFD58uXzXPvl2fATJky4Z1IeAAAA5qMRDwAAipVvwwZq8vabunX8hC4vWKTbJ34yO5JNks+e009v/V3l6z+sGqNGqEKzpjTkAeA+mIYHAJRkOTk5+vHHH7V9+3bDavr6+mro0KEKCQkp0n43NzeFhYVp9uzZysjIuHvdxcVFnTp1yvPenJwcjRo1SpmZmRo3btwD5QYAAIBj8Ix4AABgigpNGqvJ399S47ffVPkGzjP5mHT6jE7891s6/ue/6qaTTPUDQHFLTEzU0aNH7d5XpUoVNWjQwAGJAAD4j+TkZH355ZeGNuHr1q2r8PDwIjfhf1GpUiX169cvz7XmzZvL19c3zzWr1aoRI0Zo/fr196wBAACgZGAiHgAAmMZisciv6SOq8EgT3Tx8RJcXLFLymbNmx7LJ7Z9O6sRf35Rvk8aqMWq4KjRubHYkACgxtm/frpycHLv3MQ3vWMuXL9ef/vSnPNdOnz6d53X37t3zPCP5hRde0NSpU4slHwAUh59//lnLli1TcnKyIfUsFoseffRRde7c2ZB6ktSkSRNdunRJ+/fvl9VqvWcaHgAAAM6BRjwAADCdxWKRf4vm8mveTIkHDurygsVKOX/e7Fg2uX38hI7/+Q1VaNZUNUYOl29DJjkBlG23bt3S4cOH7d5XuXJlNWrUyAGJAAD4t23btunHH38s0qNT8uPj46MhQ4aodu3ahtT7td69e+vq1asKCgqSn5+f4fUBAADgeDTiAQBAiWGxWBTQKlT+oS2VsHe/ohYuVsrFi2bHssmtI0d17MhR+bVorhojh6t8/YfNjgQApmAaHgBQ0ty5c0crVqzQuXPnDKtZs2ZNDRkyROXLlzes5q+5uroqLCzMIbUBAABQPGjEAwCAEsdisahi29YKaB2qhD37dHnhIt25dNnsWDa5eeiwbh46LP9WoaoxcrjK1a1jdiQAKDa3b9/WoUOH7N5XqVIlNeYRHwAAB7hy5YqWLl2qW7duGVazU6dOevTRR2W1Wg2rmR9/f3+H1gcAAIBj0YgHAAAllsVqVcX2bRXQtrVu7NqtywsXKzXqitmxbJK4/4AS9x9QQNvWChkxXOUeMv64SgAoabZv367s7Gy793Xu3FkWi8UBiQAAZdmePXu0YcOGIp3Ukh8vLy8NHDhQDz/M6VcAAAAoHI14AABQ4lmsVlXq2EEV27XV9R07dXnhEqVFR5sdyyYJe/YpYc8+VWzfTiEjh8unZg2zIwGAQyQlJengwYN276tYsaKaNGnigEQAgLIqPT1dq1ev1k8//WRYzeDgYA0dOpTntQMAAMBmNOIBAIDTsLi4qHKXzqrUsYPit25T1KJIpcXEmB3LJjd27daN3XtUqWMHhYwYJu+Q6mZHAgBD7dixo0jT8J06dXL40b4AgLIjJiZGkZGRSkhIMKxmmzZt1KtXL7m4uBhWEwAAAKUfjXgAAOB0LC4uCny0myp36ay4zVsUtThS6bFxZscqXG6urm/foes7dqpS504KGR4m7+rBZqcCgAeWnJysAwcO2L3P399fTZs2dUAiAEBZdPDgQa1fv15ZWVmG1HN3d1f//v3VuHFjQ+oV5ty5c6pbt26x3AsAAACOx9gBAABwWhYXF1V5rLtaTv9YdaZMkkflSmZHsk1urq5v3aZDU3+nMx9+rNRr18xOBAAPZOfOnUVqenTu3JlpeADAA8vMzNTKlSu1Zs0aw5rwVapU0cSJE4utCb9v35vvWp4AACAASURBVD517dpVTz/9dJEe9QIAAICSh4l4AADg9Kyurgrq1UOBj3ZV7Pc/6ErkMmXcuGF2rMLl5Cj+x82K37JVgd27KWTYUHlWqWJ2KgCwS0pKivbv32/3Pj8/P6bhAQAP7Pr164qMjFRcnHEnZDVv3lx9+/aVm5ubYTUL8+GHH0qSfvjhB/3www/q2rWrXn75ZbVu3brYMgAAAMBYNOIBAECpYXVzU9U+vVXlsUcVu/F7RUUuV2ZiotmxCpeTo7jvf1D8j1sU2KO7QsKGyKNyZbNTAYBNdu3apczMTLv3derUiWftAgAeyPHjx7VmzRplZGQYUs/V1VV9+/ZVixYtDKlnq4MHD2rz5s15rm3ZskVbtmxRx44d9fLLL6t9+/bFmgkAAAAPjjMAAQBAqWN1d1fVJ/oqdNanqj1+rNz8/MyOZJPc7GzFfrdRB55/QednRij9uhNM9QMo0+7cuaN9+/bZvc/X11fNmzd3QCIAQFmQnZ2tdevWadmyZYY14StWrKjnnnuu2Jvw0n+m4fOzY8cODR06VDNnzizGRAAAADACE/EAAKDUcvHwULX+T6pK756KWf+drixboazbt82OVajcrCzFrP9OsRs3Kah3L1UfOljuAf5mxwKAe+zevbtIDRCm4YsuPj5ef/3rX7Vnzx4FBQUpPDxcAwcONDvWXdOmTbunWfTtt9+qdu3aNu0/fvy4hgwZcs/1CRMm6NVXX7WpRmpqqrp166abN2/evdauXTvNnz/fpv0ASrbExEQtXbpU0dHRhtVs3Lix+vXrJw8PD8Nq2uro0aPatGnTfd/j5uamfv36FVMiAAAAGIVGPAAAKPVcPDwUPLC/gnr31LV13+rqipXKSko2O1ahcrOydG3tOsVu/F5Bj/dS8JBBcneS6X4ApV9qaqr27t1r977y5cubMm1YWrz44os6ePCgJOnChQt6/fXX5eXlpd69e5uc7N/88vl7KiUlxeb9c+fOzff6bTs+SLdy5co8TXhJGjdunM37AZRcp0+f1sqVK5WWlmZIPRcXF/Xq1Utt2rQxpF5RTJs2rdD3DBs2TMHBwcWQBgAAAEbiaHoAAFBmuHh5qfqQQQqNmKEao0fKxcfH7Eg2ycnIUPTqb3RgwiT9PO8LZd66ZXYkANCePXuUnp5u976OHTvK1ZXPhBfFyZMn7zbhf23t2rUmpMmfr6/vPddsbcRHRUXpu+++y3ftlh1/93355Zd5XtetW1ddunSxeT+AkicnJ0cbN27UokWLDGvCV6hQQWPHjjW1CX/8+HFt2LDhvu9xdXXV1KlTiykRAAAAjEQjHgAAlDmu3t4KGTZUrWbPUMjI4XLx9jY7kk1yMjJ0dcUq7Z84WZe+/FqZt5PMjgSgjEpLS9OePXvs3leuXDmFhoY6IFHZsH379nyve5egv8cqVKhwzzVbG/Hz5s1TdnZ2vmu2NuK3bdum8+fP57k2duxYWSwWm/YDKHmSkpI0f/587dy507CaDz/8sMLDw02fMvf399fIkSPv+wG1oUOHKiQkpBhTAQAAwCg04gEAQJnl6uOjGiOGqdXsGao+bKisnp5mR7JJTlqarixdrgMTJ+nS1wuVlVzyj9kHULrs3bu3SBOJHTp0YBr+ARTUhCpJzw3ObyI+2Ya/pxITE7Vs2bIC1209mv63z4GvXLmy+vfvb9NeACXPhQsXNHPmTF2+fNmQehaLRT169NDIkSPl5eVlSM0HERwcrH/84x/atm2bRo8eLTc3tzzrLi4uTMMDAAA4MRrxAACgzHMtV041R49Uq9kzVX3oYKdpyGenpurKkqXaP3GSLi9aoiw7nsELAEWVnp6u3bt3273Px8dHrVq1ckCisiE9PV0HDhy453qtWrXUoUMHExLlr6gT8V9//bVSU1Pvvu7YsWOedVsm4i9cuHDPqQFPPfWU3N3dC90LoGTJzc3Vli1b9NVXX+nOnTuG1CxXrpyeffbZe76+lAQ1atTQe++9px07dujZZ5+9+3Vr0KBBqlWrlrnhAAAAUGQ04gEAAP6Pm2951Xx6tFpFTFfwoAGyOskv7rNT7ihq4WLtnzBJUUuWKutOauGbAKCI9u7dm6dhaqv27dvfM+kH2+3fv1/p6en3XB89enSJOna9KI34tLQ0ff3113muTZ48Oc+fF1sa8V988YVyc3Pvvvb29taIESMK3QegZElJSdFXX32lzZs35/lv+kHUrl1bzz//vGrWrGlIPUcJDg7WO++8o507d2rcuHFMwwMAADg5zgQEAAD4DbcKFVRrzDOqNqCfri5fqZhvNygnI8PsWIXKTknR5a8XKnr1NwoeNEBV+z4ulxJw5CaA0iMjI0O7du2ye5+3t7dat27tgERlx44dO+655u3trUGDBpmQpmD5HU1fWCN++fLlSkhIuPu6efPmatWqlcqXL3/3enJysrKzs+Xi4pJvjdu3b2vVqlV5rg0ZMkR+fn72/isAMNHly5e1dOlSJSUlGVazS5cu6tatW4n60FJhqlatqrffftvsGAAAAHhATMQDAAAUwN3fX7XHj1XLmZ+q6hN9ZXGS5xpnJSXp0hdf6UD4ZF1duVrZ+UxQAkBR7Nu3r8jT8BwP/mDyez58//79Vb58eRPSFMzb2/uekw/u14jPycnRvHnz8lwbP368JOX5d8vNzb1vY27JkiV5jq92cXHRs88+a090ACbbuXOn5s+fb1gT3tvbW6NHj9ajjz7qVE14AAAAlB404gEAAArhUTFAD00cr9BZ0xXU53Gnachn3rqtnz+frwMTJyt69Tc05AE8kMzMzCJNw3t5eTEN/4ASEhJ06tSpe66PHj3ahDSF++3x9MnJyQW+d8OGDbp06dLd1zVr1lSPHj0k/ft5zr9W0PH02dnZWrBgQZ5rPXr0UEhIiF25AZgjLS1NixYt0saNG5WTk2NIzerVqys8PFx169Y1pB4AAABQFDTiAQAAbORRqaLqPD9BLWd8rCq9e8pSwPG4JU3mzZu6OPdzHQifomtr1yknM9PsSACc0P79+ws9Yjw/7dq1k4eHhwMSlR07d+685znJrVu31sMPP2xSovv77fH09/tzM3fu3Dyvx4wZI6v137+q+O20f0GN+I0bN+rq1at5rv0yVQ+gZLt27ZoiIiJ0+vRpw2q2a9dOY8aMyfdRGQAAAEBxco5xLgAAgBLEMzBQdSc/r+pDBilqyVLF/bBZMmh6x5EyExN1IWKurixbqephQ1SlR3dZf3N8MADkJysrK9+j0Qvj6empNm3aOCBR2ZLf8+FL6jS8dO9EfEGN+L179+ro0aN3X/v7+2vw4MF3X/+2EX/79u1868yfPz/P69DQUDVr1syuzACK3/79+/Xtt98qOzvbkHoeHh4aMGCAGjZsaEg9AAAA4EExEQ8AAFBEnlWqqN7UKWo5/V+q/Gg3yeoc31pl3LihCzMjdHDSC4rZ8L1ysrLMjgSghDtw4MB9jxcvSNu2beXp6emARGXLbz8EERgYqJ49e5qUpnC2TsT/dhr+qaeeyvPnxZaJ+OPHj+vgwYN5ro0bN86uvACKV0ZGhpYvX661a9ca1oQPCgrSxIkTacIDAACgRHGO3xYDAACUYF5Vq+rh301Vi48/VKUunSWLxexINkmPv67zn87QwclTFfv9D8o16BehAEqXrKysfCeyC+Ph4aG2bds6IFHZcv78ecXExOS5Nnz4cLm6ltwD7myZiD979qy2bNly97Wnp6dGjRqV5z22PCP+t9PwtWrVUvfu3e3ODKB4xMfHa/bs2Tp27JhhNUNDQzV+/HgFBAQYVhMAAAAwAo14AAAAg3hXD1b93/9OLf41TZU6dTQ7js3SY+N07uNPdXDKi4r7cTMNeQB5HDp0SElJSXbva9Omjby8vByQqGz57TS8m5ubhg0bZlIa2/y2EZ/faQqfffZZnufeDx48+J4mWmFH08fHx2v9+vV5ro0dO/buM+YBlCxHjx7V7Nmzdf36dUPqubm5adCgQXryySdL9IeTAAAAUHbx0ykAAIDBvGuEqP4fXlHzjz5QxfbtzI5js7RrMTr74cc6NPV3it+6jYY8AGVnZ2v79u1273N3d1e7ds7z9a8k++1pBD179lRgYKBJaWxT2NH0sbGxWrNmzd3XVqtVY8eOvadOYUfTL1iwQJmZmXdfBwQEaODAgUXODcAxsrKytGbNGq1YsSLPf7MPolKlSpowYYKaNm1qSD1H27BhgxITE82OAQAAgGLGx0UBAAAcxKdWTTX44x+UfOGiohYtVsKefWZHsknq1Wid+eeHilqyVDVGDlfF9u1kYboQKJMOHz58zxSyLVq3bi1vb28HJHowR48e1bBhw/JMYv/a1KlT9cILLxh6zz//+c9atmxZgevjxo3T66+/nu9aZmam9u7dm+fa6NGjDc3nCIU14ufPn5+nGdezZ0/VqFHjnjr3O5o+IyNDixcvzrM+atSoPM+YB2C+hIQERUZG3vOIjQfxyCOP6Mknn5S7u7thNR3p6tWrmjhxotzd3TV27FiFh4dzjD4AAEAZwW9UAQAAHKzcQ7XV8M9/VLN/vif/VqFmx7FZatQVnX7vnzr8u9/rxq49BTauAJRO2dnZ2rZtm9373Nzc1L59ewckenBNmzZVnz59Clz/7LPPlJCQYNj93n333fs24cPCwgpswkvSkSNH8jSx69evr1atWhmWz1H8/PzyvM7MzFRGRoakfx9T/9sG+vjx4/Otc7+j6VevXq0bN27cfe3h4eEUH1IAypKTJ08qIiLCsCa8i4uLnnzySQ0ePNhpmvCSNGPGDGVmZiolJUWffPKJ2rZtq7///e+GHdEPAACAkotGPAAAQDEpV7eOGv31z2r63v+TX4vmZsex2Z1Ll3Xqf9/TkVf+oBt79tGQB8qIo0eP3nMUuC1atWolHx8fByQyxiuvvCI3N7d811JSUjRz5kxD7jNr1ix99tlnBa736dNHb7311n1r/PZY+qeeesqQbI7224l46T9T8YsWLcrzzPhWrVqpWbNm+da539H0X375ZZ61gQMHMmEKlBDZ2dn67rvvtGTJEqWnpxtS09/fX+PHj1doqPN8qFWSYmJitGDBgjzX7ty5o+nTp6tt27b629/+pri4OJPSAQAAwNFoxAMAABSz8vUfVuM3/6pH/vfvqtDMOZ5rKUkpFy7q1Dv/q6Ovvq6E/QdoyAOlWE5OTpGm4V1dXdWhQwcHJDJOSEjIfRvaCxcuVHR09APdY/Hixfrggw8KXO/SpYvef/99WQt57MfOnTvv/rOvr6/69ev3QLmKS36N+OTkZGVmZuqLL77Ic72gaXip4Eb87t27derUqbvXLRZLvs+YB1D8bt26pXnz5mn37t2G1WzQoIEmTpyoqlWrGlazuMyYMaPADyOkpaUpIiJCv//974s5FQAAAIoLjXgAAACT+DZsoCZv/beavPOWfJs0NjuOzZLPndfJt9/R0df+pMRDh2nIA6XQ0aNHlZiYaPe+0NDQe57rXRJNmjRJFSpUyHctIyNDH3/8cZFrr1+/Xm+++WaB661atdLHH39c4FT+L5KSknTs2LG7rwcNGiQvL68i5ypO+f1/m5KSojVr1ig2NvbutYceekiPPvpogXV++2fpl6Pp58+fn+d69+7dVbt27QeJDMAA586d06xZs3TlyhVD6lmtVvXq1UvDhw+Xp6enITWLU1xcnL766qtC3zdlypRiSAMAAAAz0IgHAAAwWYXGjfXI399S47fflG+jhmbHsVnymbP66c23dexP/6WbR4/RkAdKiQeZhu/YsaMDEhmvQoUKev755wtcX7Vqlc6dO2d33e3bt+sPf/iDcnJy8l1v3LixZs2aZVNDaffu3crOzpb074nvUaNG2Z3HLPk14pOTk+85qn/cuHGyWCwF1slvIj4qKkqbN2++pw4A8+Tm5urHH3/U119/rdTUVENq+vr6asyYMWrfvr0h9cwwc+ZMpaWl3fc97du3V7t27YopEQAAAIobjXgAAIASwq/pI2ryzttq/Lc3VL7+w2bHsVnSyVM68dc3dfy//lu3jp8wOw6AB3T8+HElJCTYva9ly5b3NE5LsqeeekrVq1fPdy07O1vTpk2zq97hw4c1depUZWZm5rv+0EMPac6cOTafGPDr58N37NhRtWrVsiuPmfJrxK9bt05nz569+7py5coaMGDAfev89s/TnTt39Nlnn+X5oEPTpk3VqlWrB0wMoKiSk5P15ZdfauvWrYbVrFOnjsLDwxUSEmJYzeKWkJBwz6M48vPyyy8XQxoAAACYhUY8AABACWKxWOTXvJkeefcdNXrjLypXr67ZkWx2+/gJHf/LGzr+1zd1++SpwjcAKHFyc3OLNA3v4uLiNNPwv3B3d9crr7xS4Pr333+vI0eO2FTrzJkzmjhxou7cuZPvenBwsD7//HMFBATYnO/Xz4e/3zPtSyIPDw95eHjkuRYZGZnn9VNPPSV3d/f71vH09LznCP/f1mEaHjDPpUuXNGvWLF28eNGQehaLRd26ddPo0aPl7e1tSE2z+Pv7a/r06WrWrFmB72nTpo06dOhQjKkAAABQ3GjEAwAAlEAWi0X+oS3V9P3/VcP/+pN8HnKeZ9/eOnpMx/74F53477eUdPqM2XEA2OHEiRO6fv263ftatGghX19fByRyrL59+6pp06YFrv/jH/8otEZUVJTGjx+vW7du5bteqVIlff755woKCrI515UrV3Tp0iVJ/27id+3a1ea9JcVv/zxkZGTc/Wdvb2+NHDnSpjq/PUHg1ycOVK9eXb169XqAlACKavv27Zo/f76Sk5MNqefj46OnnnpKXbt2ve8jK5yFxWJRr169tHbtWn3xxRdq0aLFPe95+eWXS8W/KwAAAApGIx4AAKAEs1gsCmjdSs0+eF8N/vSavGvVNDuSzW4ePqKjr/1JP731dyWfO292HAA2KMrRwlarVZ06dXJAGsezWCx6/fXXC1zfu3fvfU8IiI+P17hx4xQXF5fveoUKFTR37lzVrGnf1+5du3bd/eeRI0fKanW+H939/PwKXBs6dGi+x9fn536POxgzZoxcXFzszgag6FJTU7Vw4UJt2rRJubm5htSsUaOGwsPD9dBDDxlSrySxWCx67LHHtGbNGi1YsODuozRatmypzp07m5wOAAAAjuZqdgAAAAAUzmKxqGK7tgpo01o3du3R5YWLlBp1xexYNkk8cFCJBw7K+nA9uXbtLGtV26dCARSfn376SfHx8Xbva968uc1N1ZKoVatWeuyxx7Rp06Z816dNm6ZOnTrdM7V4+/ZtjR8/XpcvX853n7e3t2bNmqUGDRrYnally5bq3r27jhw5oqFDh9q9vyQo6IQEFxcXjRkzxuY6BTXi/fz8NGTIkKJEA1BEV69eVWRkZIEngBRFhw4d9NhjjznlB47sYbFY1LVrV3Xp0kU7duyQp6cn0/AAAABlAI14AAAAJ2KxWlWpY3tVbNdG13fsUtSixUq9Gm12LJvknDmrjDNnZW1QX65dmQACSpqyNg3/a3/4wx+0ZcsWZWVl3bN24sQJrV+/Xn379r17LTU1VeHh4Tp9+nS+9dzd3fXpp5/mexSxLerUqaMZM2YUaW9JUVAjvk+fPgoODra5zm+Ppv/FiBEjnP4Z0oAz2bt3rzZs2KDs7GxD6nl6emrgwIGqX7++IfWchcViKRV/bwIAAMA2pfvjpgAAAKWUxcVFlbt0UouPP1S9l1+SZ7WqZkeyWc6p08qYNUfn/vmh7hQwSQqgeJ08eVKxsbF272vatKn8/f0dkKh41a5dW8OGDStw/aOPPrrbpM/MzNSLL76ogwcP5vteFxcXffDBB+rQoYNDsjqLgk5JGDdunF118puId3Nz01NPPVWkXADsk56erqVLl2r9+vWGNeGrVaum8PDwMteEBwAAQNnDRDwAAIATs7i4KLBbF1Xu3FHxW7YqanGk0mLsb6aZIWHXbiXs3qNKnTsqZHiYvKtXNzsSUGYVZRreYrGUqufbTp06VatXr1ZycvI9az///LOWLl2qYcOG6fXXXy/w/y+LxaJ33nlHPXv2dHTcEu/dd9/Vu++++8B1Pv30UwPSACiK2NhYRUZG6saNG4bVbN26tXr16iVXV34lCQAAgNKP73oBAABKAYuLiwK7P6pKXTor/sfNilqyVOlx9j/rudjl5ur61u26vn2nKnfprJARYfKq6jzT/UBpcPr0acXExNi975FHHlFAQIADEpkjICBAEyZM0LRp0/Jd//TTT3XixAmtXbu2wBp//vOfNXDgQEdFBIBic+jQIa1bty7fR3YUhbu7u/r166cmTZoYUg8AAABwBjTiAQAAShGrq6uq9Oyhyt26Km7Tj4paslQZBk4xOUxOjuI3b1H81m0KfLSbQoYNkWdQkNmpgDKhqNPwXbp0cUAac40ZM0YLFy7M94MJcXFxWrJkSYF7X3zxRT3zzDOOjAcADpeZmal169bp8OHDhtUMDAxUWFiYKlWqZFhNAAAAwBnwjHgAAIBSyOrmpqDHeyl01qd6aOJzcneWqdWcHMVt+kEHJ7+oc5/OUFpcnNmJgFLt7Nmzio6Otntf48aNVbFiRQckMpenp6d+97vf2b1vzJgxmjJligMSAUDxuXHjhubOnWtoE75Zs2Z67rnnaMIDAACgTKIRDwAAUIpZ3dxU9Yk+Cp31qWo/N05ufn5mR7JJbna2Yjd8r4OTpur8jFlKj79udiSgVGIa/l4DBgxQw4YNbX7/kCFD9Mc//tGBiQDA8U6cOKGIiAjFxsYaUs/V1VX9+/fXwIED5ebmZkhNAAAAwNnQiAcAACgDrO7uqtbvCYVGTFetcc/KrYKv2ZFskpuVpZhvN+jA81N0IWKO0m8kmB0JKDXOnz+vK1eu2L2vYcOGqly5sgMSlQxWq1WvvfaaTe/t3bu33n77bVksFgenAgDHyM7O1vr167V06VJlZGQYUjMgIEDjx49XixYtDKkHAAAAOCueEQ8AAFCGuHh4KHhAfwX17qVr677V1eUrlZWUZHasQuVmZena2vWK3bhJVXr3UvUhA+Xu7292LMCpbdmypUj7SvM0/C+aNm0qf39/JSYmFvieTp066R//+IdcXFyKMRkAGOfmzZtaunSprl69aljNRo0aqX///vLw8DCsZkm2cuVKubm5qU+fPrJamXcCAABAXjTiAQAAyiAXT09VHzxQQY/31rW16xS9crWykpPNjlWonIwMXVvzjWK/26Cgvo8reNBAuftVMDsW4HQuXryoqKgou/c1aNBAVapUcUCikiM9PV2TJk26bxNekrp37y53d/diSgUAxjpz5oxWrlyp1NRUQ+pZrVb16tVLbdu2NaSeM0hNTdWbb76p+Ph41a9fXy+99JKefPJJPqAFAACAu/ioJgAAQBnm6u2lkLAhCo2YrhqjRsjFx9vsSDbJychQ9MrVOjBxkn6e/6Uyb982OxLgVIo6Dd+1a1eDk5QsWVlZeumll7R3795C3zt9+nQlO8EHmADg13JycvT9999r4cKFhjXhK1SooLFjx5apJrwkLViwQPHx8ZKk06dPa/LkyXrssce0YsUKZWdnm5wOAAAAJQGNeAAAAMjVx0chw8PUKmKmQoaHycXLy+xINslJT9fV5Su1f8IkXfpqgTKd4Jh9wGyXLl3SpUuX7N5Xv359BQUFOSBRyZCTk6PXX39dP/74o03vv379uubMmePgVABgnKSkJH3xxRfasWOHYTXr1aun8PBwVa9e3bCaziAtLU3Tp0+/5/rZs2f1wgsvqFu3boqMjFRWVpYJ6QAAAFBS0IgHAADAXa7lfFRj1AiFzp6h6kMHy+rpaXYkm+SkpelK5DIdmDhZlxcuVlZyitmRgBKLZ8Pn76233tI333xj15558+YpNjbWQYkAwDgXL17UrFmzivRBrPxYLBZ1795do0aNkpeTfIDTSIsWLVJMTEyB6xcuXNC0adOKMREAAABKIhrxAAAAuIdb+fKq+fRotYqYruDBA2X18DA7kk2y79xR1KIl2j9xkqKWLFXWnTtmRwJKlKioKF28eNHuffXq1VO1atUckKhk+OCDD7Rw4cIC1729839sR2pqqj766CNHxQIAQ2zdulVffvmlUlKM+aBiuXLl9Mwzz6hz586G1HM26enp+uSTTwp934svvihXV9diSAQAAICSiu8GAQAAUCC3ChVU69mnVW1AP11dvlIx679TTkaG2bEKlZ2SostfL1T06jUKHjhAVZ/o4zTH7QOOxDT8vebMmaNZs2YVuD5kyBD17t1bEydOzHd9xYoVevbZZ1W/fn1HRTRMw4YN9cILL9z3Pc8884ySfvWYjzZt2jg6FgAHuXPnjlasWKFz584ZVrNWrVoaMmSIypUrZ1hNZxMZGalr167d9z3Vq1fXkCFDiikRAAAASioa8QAAACiUu5+fao8bo+CBA3Rl2XLFfLdRuZmZZscqVFZSsi59+bWurlqj4EEDVLXv43JxkuP2AaNdvXpV58+ft3tfnTp1Su2zfyMjI/X+++8XuN6rVy+9/fbbcnFxUevWrbVv37573pOTk6P33ntPc+fOdWRUQzRs2FANGza873vGjBlTPGEAOFRUVJSWLl2q27dvG1azc+fO6tatm6zWsnvAZm5urr744otC3zd16lS5ubkVQyIAAACUZGX3O2cAAADYzT3AXw9NGK/QWZ8qqO/jsjjJcZtZt2/r0vwvdWDiZF1dtUbZ6elmRwKKXVGn4bt27WpwkpJh3bp1euONNwpc79Chg/75z3/KxcVFkvTqq68W+N7t27drx44dhmcEgKLYvXu35s2bZ1gT3svLS6NGjVL37t3LdBNekiwWiyIjI/Xqq6/Kz88v3/dUq1ZNYWFhxZwMAAAAJVHZ/u4ZAAAAReJRsaLqhE9Q6MxPVKV3L1n+r1FV0mXeuqWfP5unA+FTFP3NOqc4Zh8wQnR0tM6ePWv3f7iSjQAAIABJREFUvtq1ayskJMQBicy1detWvfbaa8rJycl3vVmzZvrkk0/k7u5+91rz5s3Vo0ePAmu+9957BdYDgOKQlpamJUuW6LvvvjPs61FwcLDCw8NVr149Q+qVBhUqVNDLL7+s3bt3649//KP8/f3zrE+ZMkUeHh4mpQMAAEBJQiMeAAAAReZRubLqTg5XyxmfKLDHY5KTTEllJibq4uy5OvD8FF1b/61ynOCYfeBBbN26tUj7SuM0/P79+/Xiiy8qs4D/7uvVq6eIiAj5+Pjcs/bKK6/cnZD/rVOnTmnVqlWGZgUAW8XExCgiIkInT540rGbbtm01duxYVahQwbCapUn58uU1depU7d69W3/5y19UsWJFBQUFacSIEWZHAwAAQAnhHL8pBQAAQInmWSVQ9aZOVsvpHyuwezenachn3EjQhZmzdXDSC4rZsFE5WVlmRwIMFxMTo9OnT9u9r2bNmqpZs6YDEpnn5MmTev7555WamprvenBwsObOnVvgccN16tTRwIEDC6z/4YcfKi0tzZCsAGCrgwcPau7cuUpMTDSknoeHh8LCwvT4448X+OEj/Ee5cuU0efLku48E8PT0NDsSAAAASgjn+A0pAAAAnIJX1SDVe2mqWn7ykSp36yJZLGZHskl6/HWd/3SmDk6aqtjvNyk3O9vsSIBhmIb/t4sXL2r8+PFKSkrKd71SpUr6/PPPVaVKlfvWefHFFws8cjgmJkbz5s170KgAYJOMjAytWLFCa9asUZZBHyasUqWKJkyYoEaNGhlSryzx9vbWI488YnYMAAAAlCA04gEAAGA4r+Bqevjll9Ti4w9VqXNH52nIx8Xp3MfTdXDyi4r7YTMNeTi9uLi4Ih1TXKNGDdWuXdsBicxx7do1jRs3Tjdu3Mh33dfXV3PnzrXpBICgoCCNHj26wPXZs2crISGhyFkBwBbx8fGaM2eOjh49aljNFi1a6LnnnlPFihUNqwkAAACUZTTiAQAA4DDeIdVV/9VX1OSf78nasIHZcWyWFhOjsx99rIMv/E7xW7bRkIfTKuo0fJcuXQxOYp6EhASNHTtW0dHR+a57eXlp5syZatDA9q9R4eHhKl++fL5rycnJ+uSTT4qUFQBscezYMc2ePVvx8fGG1HNzc9PAgQPVv39/ubq6GlITAAAAAI14AAAAFAPvGiFyDxss94njZa3/sNlxbJYWHa0zH3yoQy++ouvbdyg3J8fsSIDN4uPj9dNPP9m9r3r16qpTp44DEhW/pKQkjR8/XhcvXsx33c3NTR999JFCQ0Ptquvn56fnnnuuwPXFixcXeE8AKKqsrCx98803Wr58uTIzMw2pWbFiRT333HNq1qyZIfUAAAAA/AeNeAAAABQba1AVuQ8fKvfnxsovtKXZcWyWeuWKTr//gQ7/7ve6vnMXDXk4ha1btyo3N9fufaVlGj4tLU3h4eEFfhjBarXq3XffVdeuXYtU/9lnn1XlypXzXcvKytI///nPItUFgPwkJibqs88+04EDBwyr2aRJE02cOFGBgYGG1QQAAADwHzTiAQAAUOys1arq4T+9pqbv/6/8Q1uYHcdmdy5d1ul3/6Ejr/xBN/bsLVKTEygO169f14kTJ+zeV61aNdWrV88BiYpXZmampk6det+G1V//+lc98cQTRb6Hl5eXpkyZUuD6xo0btX///iLXB4BfnDp1ShEREbp27Zoh9VxcXNS3b18NGTJE7u7uhtQEAAAAcC8a8QAAADBN+YfrqdEb/6VH3n1Hfs2d50jUlIs/69Q77+rI719Xwv4DNORR4mzbtq3MTsPn5OTotdde09atWwt8z+9+9zuNGjXqge8VFhamWrVqFbj+3nvvPfA9AJRdOTk52rBhgxYvXqy0tDRDavr5+WncuHFq3bq1IfUAAAAAFIxGPAAAAEzn26C+Gv/tDTV5521VeKSJ2XFslnL+vE6+/Y6O/uFPSjx4iIY8SoSEhAQdO3bM7n1BQUGqX7++AxIVrzfffFPr1q0rcH3s2LGaNGmSIfdydXXVSy+9VOD6kSNH7psFAApy+/ZtzZs3T7t27TKs5sMPP6yJEyeqWrVqhtUEAAAAUDAa8QAAACgxKjRupCb/8zc1fvtN+TZqaHYcmyWfPauf/vY/OvbHv+jm4SM05GGqsjwN//7772vx4sUFrg8ePFivv/66offs06ePGjduXOD6Bx98oIyMDEPvCaB0O3/+vGbNmqWoqChD6lmtVvXs2VMjR46Ul5eXITVLu02bNmnq1Kk6d+6c2VEAAADgxGjEAwAAoMTxa/qImrzzthr/7Q2Vd6IJ3aRTp3Xiv9/S8b+8oVvH7X8+N/CgEhMTdfToUbv3ValSRQ0bOs+HX/ITERGhOXPmFLjeo0cP/c///I8sFouh97VYLHr11VcLXI+KitKCBQsMvSeA0ik3N1ebN2/W119/rTt37hhSs3z58nrmmWfUoUMHQ+qVBbm5ufrggw+0fPlydevWTVOmTNGZM2fMjgUAAAAn5Gp2AAAAACA/FotFfs2bqUKzprp56LAuL1is5LNnzY5lk9snftLxv7yhCo80UY1RI5xquh/Obfv27crJybF7X+fOnR2QpnhNnDhREydONOXeHTp00OnTp025N4DSISUlRcuXL9eFCxcMq/nQQw9p8ODB8vHxMaxmWbB582YdPnxY0r+b8itXrtSqVav0xBNP6KWXXlKjRo1MTggAAABnQSMeAAAAJZrFYpF/yxbya9FciQcO6vKCRUo5b9wvqR3p1rHjOvan/5Jf82YKGTlcvg2cZ7ofzufWrVt3Gwf2qFy58n2PVgcAONbly5e1dOlSJSUlGVLPYrGoS5cu6tq1q+GngJR2v0zD53f9m2++0TfffKM+ffrob3/7m4KDg01ICAAAAGdCIx4AAABOwWKxKKBVqPxDWyph7z5FLVyslIs/mx3LJjcPH9HNw0fkH9pCISNHqHy9umZHQilU1Gn40vBseABwVjt37tSmTZuK9PU7P97e3ho8eLDq1KljSL2yZtu2bTp48OB937NlyxZ5eXkVUyIAAAA4MxrxAAAAcCoWi0UV27ZRQOtWurF7j6IWLtady1Fmx7JJ4oFDSjxwSP6tQ1Vj5AiVq/OQ2ZFQSty+fVuHDh2ye1+lSpWYhgcAE6SlpWnlypWGPtYiJCREQ4cOla+vr2E1y5Lc3FxNmzat0PeNHTtWAQEBxZAIAAAAzo5GPAAAAJySxWpVpQ7tVbFdW93YuUuXFy5R6pUrZseySeK+A0rcd0ABbduoxsjh8qldy+xIcHI7duxQdna23fs6d+7MscUAUMyio6MVGRmpmzdvGlazffv26tGjh6xWq2E1y5qdO3dq7969932Pl5eXJk6cWEyJAAAA4OxoxAMAAMCpWaxWVerUURXbt9P17Tt1edESpUVHmx3LJgl79iphz15V7NBeISOGyadmDbMjwQklJSUVeoxufgICAtSkSRMHJAIAFGTfvn367rvvivThqfx4enpqwIABatCggSH1yrLdu3cX+p5nnnlGlSpVKoY0AAAAKA1oxAMAAKBUsLi4qHLXzqrUqYPit2xT1OIlSouJNTuWTW7s3KUbu3arUqcOChkxTN7Vq5sdCU5k586dysrKsntf586dmZwEgGKSkZGhNWvW6Pjx44bVrFq1qsLCwuTv729YzbLs97//vXr37q2PPvpI69atu2fd09NTzz//vAnJAAAA4KxoxAMAAKBUsbi4KLB7N1Xq0knxm7coavFSpcfFmR2rcLm5ur5th67v2KXKXTopZHiYvKpVMzsVSrjk5GTt37/f7n3+/v5q2rSpAxIBAH4rLi5OS5Ys0Y0bNwyr2apVK/Xu3Vuurvxqz0hNmjTR7NmzdfLkSf3rX//SmjVrlJubK0kaPXq0AgMDTU4IAAAAZ8L4AwAAAEolq6urqvR4TC2n/0t1JofL3VmOEc3JUfzmrTo45SWd/egTpcXEmJ0IJVhRp+E7derENDwAFIMjR45ozpw5hjXh3dzcNGjQID3xxBM04R2oYcOGmjFjhn788UcNHjxYXl5emjx5stmxAAAA4GT4jh0AAAClmtXNTUG9eymw+6OK3bhJV5YuU8aNBLNjFS4nR3E//Ki4zVsU2P1RhQwbKs8qTGHhP1JSUoo0DV+hQgU1a9bMAYkAAL/IysrSunXrdOjQIcNqVq5cWWFhYapcubJhNXF/9erV08cff6yEhAQFBASYHQcAAABOhkY8AAAAygSrm5uq9n1cVXp0V8yG73Vl6TJlJt40O1bhcnIU9/0mxf+4WYE9HlNI2BB5VHaS6X441K5du5SZmWn3vs6dO8vFxcUBiQAAkpSQkKAlS5YoNjbWsJpNmzbVE088IXd3d8NqwnY04QEAAFAUNOIBAABQpljd3VXtyb6q0vMxxXy7QVeXrVDmrVtmxypUbna2Yr/boLhNP6hKrx6qPnSwPCpWNDsWTHLnzh3t27fP7n2+vr5q3ry5AxIBACTpp59+0urVq5Wenm5IPVdXVz3++OMKDQ01pB4AAACA4kMjHgAAAGWSi4eHggf0U1Dvnrq27ltdXbFKWbdvmx2rULlZWYpZ961iN25S0OO9VH3IILn7+5sdC8Vs9+7dysjIsHtfp06dmIYHAAfIzs7Wxo0btWfPHsNq+vv7KywsTFWrVjWsJgAAAIDiQyMeAAAAZZqLp6eqDx6oqn1669ra9bq6cpWykpLNjlWo3MxMXVuzVrHfbVRQn94KHjxI7n4VzI6FYpCWlqa9e/fava98+fJq0aKFAxIBQNl269YtRUZG6urVq4bVbNiwofr37y9PT0/DagIAAAAoXjTiAQAAAEkuXl6qPnSwgvo+rmvfrNPVlauVnZJidqxC5WRkKHrVGsV8u0FVn+ij4EED5Obra3YsONDu3buLdORxx44d5erKj4AAYC8fH58Cv36ePXtWK1asUGpqqiH3slqt6tmzp9q1a2dIPQAAAADm4bcwAAAAwK+4ensrZNhQVe3bR9FrvlH06m+UfeeO2bEKlZOerqvLV+raum9V7cm+qjawv9zKlzc7FgyWlpZWpGOPy5Urp5YtWzogEQCUboGBgQoODpbFYslzPScnR5s3b9a2bdsMu5evr6+GDh2qkJAQw2oCAAAAMA+NeAAAACAfruV8VGPkcFV9sq+iV61R9Jq1yklLMztWoXLS0nRl6XJdW7te1fo/qWr9+8m1nI/ZsWCQvXv3Kq0Ifw47dOggNzc3ByQCgNLJarWqVq1a8vf3v2ctOTlZy5Yt088//2zY/erWratBgwbJ29vbsJoAAAAAzEUjHgAAALgPt/LlVfOpUarW/0ldXbFK19auV04RjgUvbtmpqYpaHKnob9YqeEB/Ve33hFz55b5TS09P1+7du+3e5+Pjo1atWjkgEQCUXg0bNsz3+ew///yzli1bpuTkZEPuY7FY1K1bN3Xp0sWQeihcZmYmH04DAABAsbCaHQAAAABwBm6+vqr17NMKjZihagP7y+rubnYkm2Sn3NHlBYt0YMIkRUUuU9YdY55hi+K3b9++Ij2DuH379jQcAMAOrq6u+Tbht23bpi+++MKwJryPj4+efvppmvDF6MyZM2rbtq1mzpypO07w6CEAAAA4NxrxAAAAgB3c/Sqo9thnFRoxXVX7PSmLkzQ4s5KTdfmrBTowcZKuLF+pbCc4Zh//kZGRoV27dtm9z9vbW61bt3ZAIgAovX77PPjU1FQtWLBAP/zwg3Jzcw25R82aNRUeHq7atWsbUg+2+df/Z+++46Oq8/2Pv2fSQ0JCEiAQEpA29BYgdKSIINJCQnFXXXcVrCs+7v52vVvcdXX1uuu1o4J1XZWSUAVERAXpQgCRNnTSCC0JKZA68/sDr5KEkoSTOZnk9Xw89rHMOef7Oe91jyEzn/mc89prOn36tJ555hnFxMRo9uzZhn2xAgAAACiPRjwAAABQDd6NGqn1/fcpes5sNRs7RhZP93jqU0lurk7++z9KmvGw0pYtV6kb3GYf0o4dO6o1udevXz95u8ndGwCgNkpNTdWcOXN0+PBhw2oOGjRI99xzjwIDAw2riRs7cuSIli1b9tPrzMxMPffcc4qJidGrr76qnJwcE9MBAACgLqIRDwAAANwEn9BQtZ5xv6Lfnq3w0aPcpiFffOGCTrz/byXNfFjpn62Uo6jI7Ei4huLiYm3evLnK63x9fdW3b98aSAQA9cO2bdv0wQcf6MKFC4bU8/X11fTp0zVixAhZrXwk52qvv/66HA5Hhe3Z2dn65z//qX79+mnlypUmJAMAAEBd5R6fEgIAAAC1nE/jMLV5aKYiYicpNWGRTn/1tXSVD3trm+KsbB1/932lLV6qFnGxajpqpKxucrv9+mLHjh3Kz8+v8rp+/frJx8enBhIBQN1WWFio5cuXa//+/YbVbN68ueLj4xUcHGxYTVTe8ePHtWTJkusec+HCBbVu3dpFiQAAAFAf0IgHAAAADOTbtInaPvqQWsRNUsqCRJ1Zt94tGvJFmZk6NvddpS5eqsj4yWoyYhgN+VqgpKSkWtPwPj4+iomJqYFEAFC3ZWRkKCEhQZmZmYbV7Nu3r0aNGiUPDw/DaqJqXn/9dZWWll73mDvuuEMdO3Z0USIAAADUB9wHCwAAAKgBvuHhavf4o+o1+1U1vnWo5Ca3oC06d05H35qjnQ8/ptNfrpWjpMTsSPVaUlKS8vLyqrwuJiZGvr6+NZAIAOquXbt26b333jOsCe/t7a24uDiNGTOGJryJkpOTlZiYeMPjHn/8cRekAQAAQH3iHp8GAgAAAG7Kr3lztX/it+r5+ssKGzJIsljMjlQphWfO6sgbb2nXI7/Vma+/kfMGU2QwXklJiTZt2lTldT4+PurXr18NJAKAuqm4uFhLly7V8uXLVWLQF9CaNGmiGTNmqHPnzobUQ/VlZGQoMjLyuseMGjVKXbp0cVEiAAAA1Bc04gEAAAAX8G/RQrb/ekI9X3tJoQP7mx2n0goyTuvwq29o56OP68y6b2nIu9CuXbuUm5tb5XV9+/aVn59fDSQCgLrn3Llzevfdd/X9998bVrNHjx66//77FRoaalhNVF/fvn21fv16vfrqq9d8BvysWbNcnAoAAAD1AY14AAAAwIX8o6LU4fe/U49X/1eh/d3nGd4F6ad0+OVXteu3T+jshk1yusFz791ZaWmpNm7cWOV13t7eTMMDQCXt3btX77zzjs6cOWNIPU9PT40fP14TJkyQl5eXITVhDE9PT8XFxWndunWaPXu22rVr99O+4cOHq3v37iamAwAAQF3laXYAAAAAoD5q0KqVOjz5e+UdO6aUeQuV+d12syNVyqXUNB168SWlLoxU5LSpCu0fI4uV7/cabffu3crJyanyuj59+sjf378GEgFA3VFaWqovvvhC27cb93dvaGio4uPj1bRpU8NqwngeHh6aOHGixo8fr5UrV+rVV1/VE088YXYsAAAA1FE04gEAAAATBbRurY5/elK5h48oZd4CZSXtNDtSpVxMTpH9ny/Kv1VLRU2fqpCYvrJYLGbHqhNKS0u1YcOGKq/z8vJS//7u89gDADBDdna2EhISlJ6ebljNTp06afz48fLx8TGsJmqW1WrVuHHjdOedd/L7CwAAAGoMjXgAAACgFghs11adnvqTcu2HlPzpfGXvNu5ZtTXp4omTOvj8P9Wg9S2KumuaGvWO5gPtm7Rnzx5duHChyut69+6tBg0a1EAiAKgb7Ha7li5dqoKCAkPqeXh4aNSoUerbt68h9eB6/M4CAACAmkQjHgAAAKhFAm3t1fnpp5Sz/4CS5y3QhT0/mB2pUvKPHdeBZ59XQLu2ipo+VcG9evLhdjU4HI5qTcN7enpqwIABNZAIANyfw+HQV199pc2bNxtWMygoSPHx8YqIiDCsJgAAAIC6hUY8AAAAUAs17NRRXZ75my7s3afkT+crZ99+syNVSt7hI9r/938o0NZeUXdNU1D3bjTkq2DPnj3Kysqq8rro6GgFBATUQCIAcG+5ublKTExUcnKyYTXbtWunSZMmyc/Pz7CaAAAAAOoeGvEAAABALRbUpbO6/OPvurDnByV/Ol+5B+1mR6qUXPsh7fvr39WwU0dFTp+q4G5dzY5U6zkcDm3cuLHK6zw9PTVw4MAaSAQA7u3YsWNavHix8vPzDalnsVg0fPhwDRo0yJB6AAAAAOo2GvEAAABALWexWBTcvZuCunVV9u7vlfzpfOUdOmx2rErJ2X9A+/7yNzXs0vnyhHznTmZHqrX27t2r8+fPV3ldz549FRgYWAOJAMA9OZ1Offvtt1q/fr2cTqchNQMCAhQXF6eWLVsaUg8AAABA3UcjHgAAAHATFotFjXr2UHCP7spK2qnkTxco/+hRs2NVSs7efdr7x78oqHs3RU2fqoYdO5gdqVZxOp3Veja8h4cHk5kAcIWLFy9q8eLFOmrg34+tWrXS5MmTeQQIAAAAgCqhEQ8AAAC4GYvFopDe0WoU3UuZ3+1QyrwFyj9+3OxYlXLh+z364fs9Cu7VU1HTpyqwfTuzI9UK+/bt07lz56q8rkePHmrYsGENJAIA95OSkqLExETl5OQYVnPIkCEaOnSorFarYTUBAAAA1A804gEAAAA3ZbFYFBrTRyF9opW5bbuS583XxZPJZseqlOydu5S9c5ca9Y5W1PSpCmjbxuxIpvr222+rvMZqtTINDwA/2rJli9auXSuHw2FIPT8/P8XGxqpt27aG1EPNS0tLU/PmzWWxWMyOAgAAAEiiEQ8AAAC4PYvVqtD+MQqJ6aPzW7Yqed4CXUpJNTtWpWTtSFLWjiSFxPRR5LSpCmh9i9mRXG7//v06e/Zsldd1795dwcHBNZAIANxHQUGBli1bpoMHDxpWs0WLFoqLi1NQUJBhNVGzsrOzNWLECHXq1EmzZs3S4MGDacgDAADAdDTiAQAAgDrCYrUqbOAAhfaL0blNm5U8b6EK0tPNjlUpmdu2K3PbdoX276fI6VPVoGWU2ZFcprrT8IMHD66BNADgPk6dOqWEhARlZWUZVrNfv34aOXKkPDw8ymx3Op00dmux999/X7m5udq2bZumT5+u6OhoPfHEE7r11lv5/w0AAACmoREPAAAA1DEWDw81HjJYYQMH6Oy3G5QyP0EFGRlmx6qU81u26vzWbQobOECR06bIP7KF2ZFq1MGDB3X69Okqr+vWrZsaNWpUA4kAwD3s2LFDq1evVmlpqSH1fHx8NGHCBHXs2LHCvuLiYlksFnl68jFabZSTk6N33323zLakpCT98pe/VI8ePTRr1iyNHDmShjwAAABczmp2AAAAAAA1w+LhoSbDblWvN19T28cekU+TJmZHqhynU+c2btKux2bp0Euv6lKae0z1V0d1puEtFgvT8ADqraKiIi1evFgrV640rAkfHh6uGTNmXLUJn5OTo/3798vpdBpyLhjvgw8+0IULF666b/fu3frVr36lWbNmuTgVAAAAwEQ8AAAAUOdZPDzUdORwNb51iM58vU6pCxNUePac2bFuzOnU2fXf6uyGjWo8dIgip8bJr1kzs1MZ5tChQzp16lSV13Xt2lUhISE1kAgAarezZ89q4cKFOnfOuL/DevXqpTFjxlx12v3UqVNKd5NHvNRXeXl5mjt37g2PGzNmjAvSAAAAAGXRiAcAAADqCaunp8JHjVSTYUN1eu3XSk1IVNH5TLNj3ZjDobPfrNPZ9d+qyfBbFTklTr5Nm5qd6qatX7++ymuYhgdQX+3Zs0crVqxQcXGxIfW8vLw0duxYde/evcI+p9OpI0eOKCcnx5BzoeZ8+OGHys7Ovu4xHTt21KhRo1yUCAAAAPgZjXgAAACgnrF6eanZmNvVdMQwnf5yrVISFqs4K8vsWDfmcOjM2q919pv1ajJyuCLjJ8uncWOzU1XL4cOHqzVl2blzZ4WFhdVAIgConUpKSrR69WolJSUZVjMsLEzx8fFqco1HtpSUlNCEdwP5+fmaM2fODY+bNWuWrFaezgkAAADX47dQAAAAoJ6yenur2dg7FD1ntm75zX3yCgoyO1KlOEtLdfqLL5X04KM6+vY7Kjx33uxIVVadZ8NL0pAhQwxOAgC1V2Zmpt577z1Dm/Bdu3bVAw88cM0mPNxHcXGxYmNj5evre81j2rdvrzvuuMOFqQAAAICf0YgHAAAA6jkPHx81H3+noue+qVa/ukeeDRuaHalSnCUlyvh8tZIefETH5r6nokw3mOqXdPToUaWmplZ5XadOndTYTe8AAABVdeDAAc2dO1cZGRmG1PPw8NDYsWMVGxsrb29vQ2rCXMHBwXr66ae1ZcsWzZw5U35+fhWOYRoeAAAAZuI3UQAAAACSJA9fX0VMmqDec99Uy3t+Kc/AALMjVYqzuFinVq5S0syHdfy9D1R0g2fFutLVPvxnGh4Arq20tFRffPGFFi5cqMLCQkNqBgcH69e//rV69+5tSD3ULk2aNNFTTz2lrVu36pFHHpG/v78kqW3btrrzzjtNTgcAAID6jGfEAwAAACjDw89PLSZPUviY23VqxSqlLV2u0vx8s2PdkKOoSOnLVyhj9Ro1GztGEZMmmHq7fYvFUqERf/z4cSUnJ1e5VocOHdS0aVOjogFArZSTk6PExESlpKQYVtNms2nixInXvX056oawsDD98Y9/1IMPPqh33nlHnTt3loeHh9mxAAAAUI/RiAcAAABwVZ7+/oqcEqdmY8co/bOVSl/2mUovXjQ71g05ioqUtmSZTn3+hZrfeYeaTxgvr4aBLs8REhIii8VSZlt1p+GHDh1qRCQAqLWOHDmiJUuW6KJBf89YrVaNGDFCAwYMMKQe3EdISIj+8Ic/mB0DAAAAoBEPAAAA4Po8GzRQ1LQpan7nHUpb9pnSl6+Qo6DA7Fg35CgoUGriYp1a+bmajRuriAnj5BngutvtN2vWrMzrkydP6sSJE1Wu0759e4X+fdMdAAAgAElEQVSHhxuUCgBqF6fTqXXr1mnDhg1yOp2G1AwMDFRcXJyioqIMqQcAAAAA1UEjHgAAAECleAYEqOUvpqv5uDuVvmy50lescouGfOmlS0pdmKhTK1ep+fhxaj5urDwbNKjRc4aGhsrHx6fMtvXr11erFtPwAOqqvLw8LV68WMePHzesZuvWrRUbG6sGNfxzHgAAAABuhEY8AAAAgCrxahiolnf/Qs3H33n5FvArP5ejqMjsWDdUmn9RKfMW6NRnK9V8wjg1u3OsPP39auRc5SfYU1JSqtVoatu2rZo3b25ULACoNU6ePKnExETl5eUZUs9isWjo0KEaMmRIhceCAAAAAIAZaMQDAAAAqBavoCC1+tU9aj5hnNIWL1XG6jVu0ZAvyctT8ifzlL58hSImTVCzO0bLw+/mGvKO4mLlHTmq0r37FNqypXx9fcvsZxoeAH62ceNGff3114bdit7f31+TJ09W69atDakHAAAAAEagEQ8AAADgpng3aqRbfnOfmk+coLRFS5TxxRo5S0rMjnVDJbm5OvnRx0pftlwRsZMUPuZ2eZS7nfy1OIqLlfnddmXv+l55R4/q4slkOUtLJatVzd94pcyxaWlpOnr0aJXztW7dWi1atKjyOgCorS5duqSlS5fq0KFDhtWMiopSXFycAgMDDasJAAAAAEagEQ8AAADAED6hIWo94zeKiJ2o1MRFOv3lV27RkC++kKMTH/xbaUuWqcXkSWp6+23XbMgXnjuvjC/W6PSXa1WclV1hf9jAAfKLiCizjWl4ALj8paTExERlZ1f82VldAwYM0IgRI2S1Wg2rCQAAAABGoREPAAAAwFA+YaFq8+CMHxvyi3Vm7deXp8VrueLsbB1/7wOlLl6qyPhYNR11m6xeXpIu387++Af/1pmv10kOx9ULWCyKnBpXZtOpU6d0+PDhKme55ZZbFBUVVeV1AFAbfffdd1qzZo1KDfq7wNfXVxMnTpTNZjOkHgAAAADUBBrxAAAAAGqEb5Mmavvwg2oxeZJSFiZev4ldixRnZenY3PeUumipWsRPlnejYB19+x0VZ2Vdd11o/37yj4wss6260/BDhgyp1joAqE0KCwv12Wefad++fYbVbNasmeLj49WoUSPDaqJ227Vrl5o1a6bw8HCzowAAAABVQiMeAAAAQI3ybdpU7R57RC3iYpWyIFFn13/rFg35ovPndeztuZU72GJR5NT4MpsyMjJkt9urfN6WLVuqVatWVV4HALXJ6dOnlZCQoPPnzxtWs3fv3rr99tvl6cnHWfVFaWmpHnvsMaWnp+uuu+7Sww8/rObNm5sdCwAAAKgUHqIFAAAAwCX8mjVT+1mPqefrryhsyGDJYjE7kmFCYvqoQauWZbZ9++231arFNDwAd7d79269++67hjXhvb29FRsbq7Fjx9KEr2eWL1+u48ePq7CwUB988IEGDhyoJ598UmlpaWZHAwAAAG6oXrx7sdlsEZKiJbWQFCypQFKmpH2Sdtvt9mIT4wEAAAD1in+LCNn+a5Yi4ycref5Cnd+02exIN638NPyZM2d04MCBqteJjFTr1q2NigUALlVcXKxVq1Zp9+7dhtVs3LixpkyZorCwMMNqwj2Ulpbq1VdfLbOtqKhI//nPfzR//nxNmTJFjz76qKKiokxKCAAAAFxfnW3E22y2jpLulhQnqd11Ds2z2WwfS/pfu91+xCXhAAAAAMg/KlIdfv9fyj8Rp5T5C3V+y1azI1VLSN/eCijXPDdqGt7pdMpSh+4cAKDuOn/+vBISEnT69GnDanbv3l1jx46Vl5eXYTXhPlauXKnDhw9fdV9xcbE++eQTffXVV9q2bRt3SgAAAECtVOduTW+z2QbbbLavJO2X9N+6fhNekgIkPShpj81me7Sm8wEAAAAoq0Grlurw5P9T95dfVEhMH7PjVFn5afizZ89q//79Va4TERGhtm3blq21vnoNfQBwpX379mnu3LmGNeE9PT01btw4TZw4kSZ8PeVwOPTKK6/c8Ljf/OY3NOEBAABQa9XF31SflXTlGIlDUpKk7ZLsunxLei9dbtDHSrL9eJyfpNdtNluQ3W7/h+viAgAAAJCkgNa3qOMfn1TekaNKnrdAWTuSzI50Q42ieymgXPN8w4YNcjqdVa41dOjQMq+LMrN0dPbb8mzQQCF9et9UTgCoCaWlpVqzZo2+++47w2qGhIQoPj5e4eHhhtWE+/n8889lt9uve0yjRo107733uigRAAAAUHV1sRF/TJcb8QclzZaUaLfbM652oM1m+7OkhyS9rMvNeUl61maz7bLb7atcERYAAABAWQFt26jTX/6oXPshJc9boOxdxj1r2Gjlp+HPnz+vvXv3VrlO8+bN1a5d2Zt5pS1ZKkdRkY7Mflu93nhFngEBN5UVAIyUnZ2txMREpaWlGVazY8eOmjBhgnx8fAyrCffjdDorNQ0/Y8YMNWjQwAWJAAAAgOqpc7emlzRH0nhJnex2+xvXasJLkt1ud9jt9tmSpki6cmTlJZvNVhf/2QAAAABuI9DWXp3/9hd1/Z9/KKh7N7PjVBDco7sCbe3LbKvuNHz5Z8MXZWcrY/UaSVJxVpaOf/Dv6gcFAIMdOnRIc+fONawJb7VaNXr0aE2ZMoUmPCRJTz/9tPr373/N/UFBQbrvvvtcmAgAAACoujrXbLbb7Vvtdvtndru90p9+2e32pZLev2KTTdK1f9sHAAAA4DINO3ZQl7//VV2e+7sadulsdpyfRE6bUuZ1Zmam9uzZU+U64eHhstlsZbalL10uR1HRT6/PfL1OhefOVy8oABjE4XDoq6++0rx583Tp0iVDajZs2FD33XefYmJiDKkH92exWDRgwAAlJiZq0aJFGjx4cIVjHnjgAQUGBpqQDgAAAKi8OteIvwkvlns92pQUAAAAAK4qqHNndf3H39X5mb8psGMHc7N07aKG5TIYNQ1fnJOjU59/UfYgh0On13xZ5doAYJTc3Fx99NFH2rhxo2E127Ztq5kzZ6pFixaG1UTd0q9fP82fP19Lly7VsGHDJF3+8savf/1rk5MBAAAAN1YXnxFfLXa7/aDNZkuTFPHjplYmxgEAAABwDcHduiqoaxdd+H6Pkj+dr1z7IZdnKD8Nn52dXa1p+CZNmqhjx45ltqUtXS5HQUGFYzPWfKkWU+Jk9eRtHADXOn78uBYtWqT8/HxD6lksFg0bNuyqk87A1fTp00cff/yxdu3apZMnTyooKMjsSAAAAMAN8QlOWan6uRHf2MwgAAAAAK7NYrEouEd3BXXvpuydu5T86XzlHTnqknM37NxJQeVukb9hwwY5HI4q16owDZ+bq4xVq696bHFWtjK3bVfYQJ6iBcB1NmzYoG+++aZad/y4moCAAMXGxuqWW24xpB7ql549e6pnz55mxwAAAAAqhUZ8WX5X/PmCaSkAAAAAVIrFYlGj6F4K7tVTWdt3KHneAuUfO16j54ycGl/m9YULF/T9999XuU7jxo3VuXPZhn768hUqvc5zl7N37aYRD8AlLl68qCVLlujIkSOG1WzZsqXi4uIUEBBgWE0AAAAAqK1oxP/IZrN5S2p7xaaa/fQOAAAAgGEsFotC+vZRoz69lbntOyXPW6CLJ04afp7Ajh0U3L1bmW0bN25UaWlplWuVvyVzSV6+Tq1Ydd01eUddM/UPoH5LTU1VQkKCcnJyDKs5aNAgDRs2TFar1bCaAAAAAFCb0Yj/2VBJ/le8/sKsIAAAAACqx2KxKLRfjEL69tH5LduUPG++LqWkGla//DR8Tk6Odu3aVeU6oaGh6tKlS5lt6Z+tUOnFi9dddzE5RY7iYlm9vKp8TgCojK1bt+rLL7+s1uM2rsbPz0+TJk1Su3btDKkHAAAAAO6CRvzPZl7x57OSNpgV5GaVlJTIYrGYHQMwRElJSaW2Ae6M6xz1Adc5zBDUt7e6RPdS5patSluYqIL09JuqF9C+nRr17FFm26ZNm6o9DX/l7+wlFy8q/bOVN1znLCnRhSNHFdC2TZXPCRiBn+fuz2q1ysPDo8L2goICLV++XAcOHDDsXBEREYqPj1dQUFCFfQ6Ho1o/P12B6xz1Adc56gOuc9QHXOeoD9z5mqYRL8lms7WXNOGKTa/b7Xa3/X/VyDfNQG20f/9+syMANY7rHPUB1zlcpmGAnL++R1779qtk/UY5MzOrVab8NHxubq527txZZlurVq00dOhQeXt76+uvv9bRq9xKPiQkRF27di2z7dSKVSrNz69UjsPffSePi5U7FnAFfp67B29vb7Vu3VoNGjSosC8jI0MLFy5UVlaWYeeLiYnRbbfdVqHp73Q6lZ6eroyMDMPO5Qpc56gPuM5RH3Cdoz7gOgdqDxrxlz2vn/9Z5EmabWIWAAAAAAazWK3y6NpF1s6d5Phhr0q+3ShnVnal1we0baOQ3tFltm3evPmnb2VbLBYNHjxYt95660+T7vHx8frXv/5VYeJz0KBBZZ6RXHrpktKXf1bpLM5it/3OMACTBAUFqVWrVvL0rPgx0M6dO/X5558bNmXi4+OjcePGqXPnzhX2FRcX69ixY8rLyzPkXAAAAABQm9X7RrzNZhstKfaKTc/Y7fbqjcgAAAAAqNUsVqs8uneTtUtnFS9fIccP+yq1rvw0fF5ennbs2CFJ8vf316RJk9S2bdsyx/j4+CgkJERnz579aVtwcLC6d+9e5rhTq1arJLfyTanSnbtkbRkpa0hIpdcAqL8iIiIUHh5eYXtxcbFWrFihPXv2GHaupk2bKj4+XqGhoRX25ebm6tixY259W0kAAAAAqIp63Yi32WyBkt6+YtMhSa+YFAcAAACAi1g8PGRt1bJSjfgGt9yikL59ymzbsmWLSkpKFBkZqbi4ODVs2PDq57niOfDS5WfDl5mGLyhQ2tLlVcruTEtX0ew58ujeVR6DB8raqFGV1gOoH7y8vNS6dWsFBARU2Hfu3DktXLiwzBeFblbPnj01ZswYeXl5Vdh36tQppaenG3Yu1A2HDx9WcnKyhg4detW7NQAAAADurr7/lvumpJY//rlE0r12u73IxDyG6Nix41Xf+ALuqKSkpMIzbTp16sSbdNQpXOeoD7jOURudz8lVxSe4VxQ5Na7M64sXL2r79u3q37+/Ro4cWaaxfj1BQUEVpuEzPv9CJTk5lY38M6dTpbv3yPHDPoUNG6rmkyfJp3HjqtcBqoif5+7BYrHIw8OjwpeBJOmHH37QihUrVFRkzMcfXl5euuOOO9SjR48K+5xOp0pLSxUWFqawsDBDzucKXOeu8b//+79av369Fi9erEceeUSxsbHy9vY2O1a9wXWO+oDrHPUB1znqg0uXLunw4cNmx6iWevtvos1mu1vSL6/Y9Ce73b7VrDxG8vT0pBGPOo1rHPUB1znqA65zmK1BixY3PMa/ZUuF9u9XZtv27dsVGxurDh063HD9lU2wQYMGycPD46fXpYWFSluyrAqJK3KWlurs2q91bt23ajpyuFrETZZPY/dpdqFu4Oe5eygpKdEXX3zx02M1jBAaGqopU6aoSZMmV91vsVjqzIfAXOfG2rVrl9avXy9JSklJ0ZNPPqk33nhDjz76qKZMmSIfHx+TE9ZPXOeoD7jOUR9wnaOuKS4uNjtCtVVudKOOsdlsPSTNuWLTMkn/MikOAAAAABM0aBklyxWN8auJnFJ2Gr6goEDdu3e/ehP+yy+l0tIym/6vEd+wYUP17NmzzL7TX6xR8YUL1UhekbOkRBmr1yjpwUd0bO67KjyfaUhdAHVDVlaW3n//fUOb8J07d9YDDzxwzSY8cD2vvFLxyZCpqal68sknNXDgQH344YcqKCgwIRkAAABgnHrXiLfZbGGSlkry+3HTYV2+Jb3TvFQAAAAAXM3q7S3/llHX3O8XGanQAWWn4b29vRUcHFz2QIdD+utfpdGjpZKSMrv+rxE/cODAMtPwjqKim56GvxpnSYlOrfxcOx98RMfe/UBFWVmGnwOAezl48KDmzp2rU6dOGVLPw8NDd9xxh+Li4phaRrX88MMPWrt27TX3nzp1Sn/961919uxZF6YCAAAAjFc37g9WSTabzVeXm/D/91z4HEnj7Xa7MWMoAAAAANxKQJs2yj92/Kr7IqfEyVLu+e8Vngd/5oz0i19I/9dQcDgq1AkMDFSvXr3KbMtYs1ZFmTXXJHcUFenUZyt0+os1Cr9jtFrETpRXUFCNnQ9A7eNwOPTVV19p8+bNhtUMDg5WXFycIiIiDKuJ+udq0/DlTZkyRZGRkS5IAwAAANScetOIt9lsFkkfSRr446ZSSdPtdvtB81IBAAAAMFNwz+46/WXFqTy/iAiFDRpw/cUbNkjTpknp6T9vc5a90ZbFYtGAAQPKPCPZUVystMVLbip3ZTmKipS+dLkyVq9Rs7FjFDFxgrwaBrrk3ADMk5OTo8TERKWkpBhWs3379po4caL8/PxufDBwDfv27dPq1auve4yHh4ceffRRFyUCAAAAak69acRL+qek+CteP2a321eZFQYAAACA+UL69pFXo2AVZ2WX2d4ifnKFafgyXnhB+vOfK9yKvvxEvL+/v6Kjo8tsO732axW5+BnujoICpS1aolMrP1fzcWPVfMI4eQXSkAfqoqNHj2rx4sW6ePGiIfWsVquGDx+ugQMH3vhg4Abee++9Gx4zefJktWzZ8obHAQAAALVdvXhGvM1m+62k312x6V92u/0ts/IAAAAAqB2sXl5qetvIMtv8oqLUeOjgqy/IzJTGjZOefLJiE16qMBHfrVs3eXl5/fTaUVystEWumYa/GkdBgVITFilpxsNKnrdAJXn5pmUBYCyn06l169bpk08+MawJHxgYqHvuuYcmPAzzj3/8Q3/729/UpEmTq+63Wq167LHHXJwKAAAAqBl1vhFvs9liJb18xaaFkv5gUhwAAAAAtUz47aOkH6ff/SIi1PX5Z64+Df/dd1KvXtKKFdcuVm4ivmPHjmVen/l6nQrPnr3pzDer9OJFpcxfqB0zHlLKwkSVGNS0A2CO/Px8ffzxx1q/fr2c5b4QVF233HKLZs6cyWQyDOXn56cHHnhAmzdv1rPPPqvw8PAy+ydOnKjWrVublA4AAAAwVp1uxNtstgGSPtHP/zs3SrrHbrcb864UAAAAgNvzCQtVk+G3KmzwIHV/6Z/yCgioeNBrr0mDB0snT16/WLkG2JXPhneWlio1cbEBiY1Tmp+v5E/mKWnGQ0pNXKzSS5fMjgSgipKTkzVnzhwdO3bMkHoWi0VDhw7V3XffrQYNGhhSEyjPz89P9913nzZv3qznn39eERERslgsevzxx82OBgAAABimzj4j3maz2SQtl+T74ya7pAl2u73QvFQAAAAAaqM2D86Q9YpbyP8kJ0e6/34pIaFyhcpNxF/pzDfrVHjmTDUT1qyS3Dyd/M8nSlv2mVrETlT4HaPl4eNjdiwAN7B582Z99dVXclznZ09V+Pv7a9KkSWrbtq0h9YAb8fHx0T333KNp06Zp27ZtXHsAAACoU+pkI95mszWV9Lmk0B83nZY0xm63Z5qXCgAAAEBtddUm/PffS/Hx0uHDlS90jVtCO0tLlZpQu6bhr6YkJ0cnPvxIaUuXKyJ2osJHj6IhD9RCBQUFWrp0qex2u2E1IyMjFRcXp4YNGxpWE6gsb29vDR482OwYAAAAgKHqXCPeZrM1kLRS0i0/bsqXdKfdbj9uXioAAAAAbuXdd6XHHpMKCqq27hpTqWe/3aCCjAwDgrlGcXa2Trz/odKWLFOLuFiFjxopq7e32bEASEpPT1dCQoKys7MNq9m/f3+NHDlSVmudfoIhAAAAALhUnWrE22w2T0kJkqJ/3FQqaardbt9hXioAAAAAbuPiRemhh6SPPqre+qtMxDsdDqUmLLrJYOYozsrS8XfeU9riJWoRP1lNR464+t0DALjEjh07tHr1apWWlhpSz8fHRxMnTlSHDh0MqQcAAAAA+FmdasRLmi1pzBWvH7Hb7SvNCgMAAADAjRw4cPlW9Pv2Vb/GVSbiz23YpEtp6TcRzHxF5zN17O13lLZoiVpMiVOT4cNk9axrbyeB2quoqEifffaZ9u7da1jNZs2aKT4+Xo0aNTKsJgAAAADgZ3XmkxObzdZE0owrNpVIesxmsz1WzZJOSX+x2+1LbzocAAAAgNrt00+lGTOk/Pybq1NuIt7pcCglIfHmatYihWfP6ejst5WasFiRU+PUZNitsnh4mB0LqNPOnDmjhIQEnTt3zrCa0dHRGj16tDz5Qg0AAAAA1Ji69I7Lr9xrT0mdb7JmD0k04gEAAIC6qrBQevxxac4cY+qVm4jP2X9Al1JSjaldixSeOaMjr7/5Y0M+Xo2HDqYhD9SA77//XitXrlRxcbEh9by8vHTnnXeqW7duhtQDAAAAAFxbXWrE50jKl9TAwJruff9IAAAAANd27JgUFyft2mVczXIT8We/3VCpZV6NGqntIw/Kp0kTpcxfqPObtxiXqQYVZGTo8KuvKyVhkaKmTVHYoAE05AEDlJSU6PPPP9fOnTsNqxkWFqYpU6aocePGhtUEAAAAAFxbnWnE2+32LEkBZucAAAAA4AaWLJHuu0+6cMHYuuUm4gvP3uBW0larmgy/Vbfcd688Ay6/nenwh98p//gJJc9boMxt3xmbr4YUpKfr0EuvKGVhoqKmT1HogP6yWK1mxwLcUmZmphISEpSRkWFYza5du+rOO++Ut7e3YTUBAAAAANdXZxrxAAAAAHBDxcXS738vvfJKzdQvNxFvsViuephXo2CFj7pNTW+/TT6hoRX2N7illTr+8Q/KO3JUyfMXKGt7Uk2kNdyl1FTZ//WS/FtGKWr6VIXE9KUhD1TB/v37tXz5chUWFhpSz8PDQ2PGjFF0dLQh9YDKOHXqlJ566in99re/VdeuXc2OAwAAAJiGRjwAAACA+iElRZoyRdq6tebOUW4iXj824i2envKPilRAmzYK7tlDITF9ZPW88duxgLZt1OnPf1TuocNKnrdA2TsNvI1+Dbp4MlkH/+dfanDLLYqcPkUhfftc80sJAKTS0lJ9+eWX2rZtm2E1GzVqpPj4eDVr1sywmkBlvPXWW1q1apVWrVqlkSNHatasWerZs6fZsQAAAACXoxEPAAAAoO77/HPp7rul8+dr9jzlJuKbTRinyGlT1KBVS1m9vKpdNrB9O3X+65+Vc9CulHkLlL37+5tN6hL5x4/r4HMvqEGbNoq6a6oaRfeiIQ+Uc+HCBSUmJio1NdWwmh06dNCECRPk6+trWE2gMk6fPq1PPvnkp9dr167V2rVrNWzYMM2aNUu9e/c2MR0AAADgWtwjEAAAAEDdVVoq/elP0tixNd+ElypMxAd26qjAdm1vqgl/pYYdbOr89FPq8twzCuraxZCarpB/9KgOPPOc9vy//1bWzl1ylvvCAlBfHT58WHPmzDGsCW+1WjVq1ChNnTqVJjxM8fbbb6ugoKDC9m+++UYTJkzQtGnTtHfvXhOSAQAAAK7HRDwAAACAuikjQ5o+XVq3znXndFGDOahzJwU9+7Sy9/yglHkLlLP/gEvOe7PyDh/W/qefVWAHm6Lumqagbl2ZkEe95HA4tG7dOm3YsMGwmg0bNlRcXJwiIyMNqwlUxblz5/TRRx9d95gNGzYoLy/PRYkAAAAAc9GIBwAAAFD3fPPN5Sb86dOuPW/5Z8TXsOBuXRXUtYsufL9HyZ8uUK7d7tLzV1fuQbv2PfW0GnbudLkh36Wz2ZEAl8nLy9OiRYt04sQJw2q2adNGsbGx8vf3N6wmUFVz5sy56jT8lfr3769+/fq5KBEAAABgLhrxAAAAAOqWZ5+V/va3y7eldzUTbrlusVgU3KO7grp3U/au3Ur+dIHyDh92eY7qyNm3X3v/9JSCunZR1F3T1LBTR7MjATXqxIkTWrRokWETwRaLRbfeeqsGDx7M3SVgqszMTH344Yc3PG7WrFk1HwYAAACoJWjEAwAAAKgbzp2T7r5bWr3avAwunoi/ksViUaNePRXcs4eyknYq+dP5yj96zLQ8VXHhh7364b//rOAe3RU5faoadrCZHQkw3MaNG/X111/LadAXdho0aKDY2Fi1bt3akHrAzdi4ceMNp+H79OmjgQMHuigRAAAAYD4a8QAAAADc35Yt0pQpUmqquTlMmIgvz2KxKKR3tBpF91Lmd9uVMm+B8o+fMDtWpWTv/l7Zu79Xo+ieipw+TYHt2podCbhply5d0pIlS3TYwDtVREVFKS4uToGBgYbVBG7G+PHj1aVLF73++utatGiRSq9yV5onnniCOzcAAACgXrGaHQAAAAAAbspLL0lDh5rfhJdMnYgvz2KxKDSmr7q/9C/Z/vA7+UdFmh2p0rKSdmnP7/6g/c8+r7xj7jHVD1xNamqq5syZY2gTfuDAgbr33ntpwqPWad26tV5++WVt2LBB06dPl6fnz/M/PXv21JAhQ0xMBwAAALgeE/EAAAAA3NOFC9KvfiUtXWp2kp/Vgon48ixWq8IG9Fdovxid27RFKfMX6FJqmtmxKiVr+w5lbd+hkH4xipo+RQ1atTI7ElBp27Zt05o1a+Qw6As6vr6+mjhxomw2Ht2A2q1ly5Z68cUX9fjjj+uNN97QggULmIYHAABAvUQjHgAAAID72blTio+Xatu0dC2aiC/PYrWq8eCBChvQT+c2blby/AUqSD9ldqxKydy6TZlbtyl0QH9FTZ8i/6gosyMB11RYWKjly5dr//79htVs3ry54uPjFRwcbFhNoKZFRkbqhRde0BNPPKGmTZuaHQcAAABwORrxAAAAANyL3S4NGybl5JidpKJaOBFfnsXDQ42HDlbYoAE6u36DUhYsVEHGabNjVcr5zVt0fstWhQ0aoMhpU+TfooXZkYAyTp8+rYULFyozM9Owmn369NHtt98uDw8Pw2oCrhQeHm52BAAAAG1nEusAACAASURBVMAUNOIBAAAAuBebTdq/X3rhBemdd6SCArMT/awWT8SXZ/HwUJPhtypsyCCdXbdeKQsSVXjmjNmxbszp1LkNm3Ru0xY1HjJIkVPj5de8udmpAO3atUurVq1SSUmJIfW8vb01btw4denSxZB6AAAAAADXspodAAAAAACqLCJCeu21y7emnzVL8vMzO9FlbjARX57V01NNR45QrzdfU5uHZ8o7LMzsSJXjcOjsum+185HHdfjVN1SQkWF2ItRTxcXFWrZsmZYvX25YE75JkyZ64IEHaMIDAAAAgBujEQ8AAADAfTVrJr38snT8uPS730kNGpibx40m4suzenkp/PZRin77DbWe+YC8Q0PMjlQ5DofOfP2Nkh56TEfeeEsFp91gqh91xrlz5/Tuu+9q9+7dhtXs0aOH7r//foW5y5diAAAAAABXRSMeAAAAgPtr2lT617+kEyekJ5+UAgPNyeGGE/HlWb281OyO0Yp+e7ZueeA38moUbHakynE4dPrLtdr58GM68uYcFZ49Z3Yi1HF79+7VO++8ozMGPdLB09NT48eP14QJE+Tl5WVITQAAAACAeWjEAwAAAKg7wsKk55+/3JD/85+loCDXnt+NJ+LLs3p7q/mddyh6zptq9etfycvV/yyryVlSotNfrFHSg4/o6Jx3VHj+vNmRUMeUlpZq1apVWrRokYqKigypGRISovvvv189e/Y0pB4AAAAAwHw04gEAAADUPSEh0jPPXG7Iz5rluvPWgYn48jx8fBQxYZyi576plvfeLU+z7jZQRc6SEmWsWq2kmY/o2Lvvqygry+xIqAOys7P1/vvva/v27YbV7NSpk2bMmKGmTZsaVhMAAAAAYD5PswMAAAAAQI0JDr78DPn0dGnhwpo/X7mJeIvFUvPndBEPX1+1iJ2o8NG3K2PV50pbskwleXlmx7ohZ3GxTn22Uqe/+FLhY25XROwkeQe7x3Q/ahe73a6lS5eqoKDAkHoeHh4aNWqU+vbta0g9wBUcDoesVuZ6AAAAgMrgN2cAAAAAdV/Xrq45Tx2ciC/P099PLeJiFf3OW4r6xXR5NGhgdqRKcRQVKX3ZZ0qa8ZBO/Ps/Ks7JMTsS3ITD4dDatWs1f/58w5rwQUFBuu+++2jCw61cunRJw4cP14svvqjs7Gyz4wAAAAC1Ho14AAAAAHXf2rWuOU8dekb8jXj6+ytySpx6z31LkdOmyMPf3+xIleIoLFTa4qXa8cBDOvmfT1Scm2t2JNRiubm5+ve//61NmzYZVrNdu3aaOXOmIiIiDKsJuML8+fN1+PBhvfzyy4qJidELL7ygzMxMs2MBAAAAtRaNeAAAAAB128aN0vr1rjlXPZiIL88zoIGipk9V9Nw31SJ+sqy+vmZHqhRHQYFSExcr6YGHlPzpfJXk5ZsdCbXMsWPHNGfOHCUnJxtSz2KxaMSIEbrrrrvk5+dnSE3AVQoLC/XGG2/89DovL0+vvfaa+vXrp+eee07nz583MR0AAABQO9GIBwAAAFC3/f3vrjtXPZqIL88rMFAtf3mXer/zliJiJ8rq42N2pEopvXRJKQsStGPGg0pZkKCSixfNjgSTOZ1OrV+/Xh9//LHy8435gkZAQIDuueceDRo0yJB6gKstWLBAGRkZFbbn5+dr9uzZiomJ0dtvv21CMgAAAKD28jQ7AAAAAADUmK1bpS+/dN356uFEfHleDRuq1b13q/mE8UpbslQZq1bLUVRkdqwbKs2/qORP5yt9+QpFTJqg8DvGyNOfqeX65uLFi1q8eLGOHj1qWM1WrVpp8uTJCggIMKwm4EpFRUVlpuGv5tKlS2rYsKGLEgEAAADugYl4AAAAAHXX009Xb11EhDRx4uX/rop6PBFfnndwkG65715Fz3lTzcaNlcXLy+xIlVKSl6eT//lESTMfVuripSotKDA7ElwkJSVFc+bMMbQJP3jwYN1999004eHWEhISlJaWdt1jIiIiFBcX56JEAAAAgHugEQ8AAACgbtq+XVq9uurrevWSDh2SliyRTpyQ3ntPatOmcmuZiK/AO6SRWt//a0XPma1mY8fI4ukeN2YrycnRyX//R0kzHlbasuUqLSw0OxJq0JYtW/Thhx8qJyfHkHp+fn666667NHz4cFmtfPQC91VcXKzXX3/9hsc9+uij8vb2dkEiAAAAwH3wbhAAAABA3VTdZ8O/9prk73/5z56e0q9/LR08KH34odS+/fXXMhF/TT6hoWo9435Fvz1b4aNHuU1DvvjCBZ14/99Kmvmw0j9b6Ra32UflFRQUaMGCBVqzZo0cBv3726JFC82cOVPt2rUzpB5gpoyMjBve0SE8PFxTp051USIAAADAfdCIBwAAAFD37NolrVhR9XXDhkkDB1bc7ukp3XuvtH+/9PHHUseOV1/PRPwN+TQOU5uHZqrXm6+r6W0jJTeZFi7Oytbxd99X0sxHdGrVajmKi82OhJt06tQpzZ07VwcPHjSsZkxMjH71q18pKCjIsJqAmSIjI7VmzRq999576tKly1WPefTRR+Xj4+PiZAAAAEDt5x6feAAAAABAVVR3Gv6vf73+fg8P6Re/kPbulebPl8o3JZiIrzTfpk3U9tGHFP3W62oyfJjbNOSLMjN1bM47SnrwUWWsXkND3k0lJSXpvffeU1ZWliH1fHx8FB8fr9GjR8vDw8OQmkBtYbVaNXr0aK1evVoffvihunfv/tO+pk2bavr06SamAwAAAGov9/ikAwAAAAAqa88eadmyqq8bMkQaOrRyx1qt0tSp0g8/SImJ0v81JZiIrzLf8HC1e/xR9Zr9qhrfOtR9GvLnzunoW3O08+HHdPrLtXKUlJgdCZVQVFSkxYsXa8WKFSotLTWkZtOmTTVjxgx16tTJkHpAbWWxWHTbbbdp5cqV+vjjj9WrVy89/PDD8vX1NTsaAAAAUCu5x0P5AAAAAKCynnmmeg3xp56q3vkmT778n6VLpYiI6tWA/Jo3V/snfqsW8bFKWZCgcxs2ucUXGwrPnNWRN95SauJiRU6NV+OhQ2RhIrpWOnv2rBISEnT27FnDavbq1UtjxoyRpycfr6D+sFgsGjZsmG699VY5uBMMAAAAcE28UwQAAABQd+zbJy1aVPV1AwdKI0bc3LknTry59ZAk+bdoIdt/PaHI+MlKnr9Q5zdtMTtSpRRknNbhV99QSsIiRU6dosaDB9KQr0X27NmjFStWqNigRwl4eXlp7NixZW7RDdQ3FouFRzEAAAAA10EjHgAAAEDdUd1p+L/8xfgsuCn+UVHq8PvfKf/ECSXPW6jMrdvMjlQpBemndPjlV5WakKjIaVMVNrC/LG5yu/26qKSkRKtXr1ZSUpJhNcPCwhQfH68mTZoYVhMAAAAAUPfQiAcAAABQNxw8KCUkVH1dTIx0++3G54EhGrRqpY7//XvlHT2m5HkLlLV9h9mRKuVSapoOvfiSUhdGKnLaVIX2j6Eh72JZWVlauHChMjIyDKvZpUsXjRs3Tt7e3obVBAAAAADUTTTiAQAAANQNzz4rVedZtQZNwzudTlkslgrbYIyANq3V6c//rdzDR5Qyb4GyknaaHalSLianyP7PF+XfqqWipk9VSEzfCtcJjHfgwAEtW7ZMhYWFhtTz8PDQ6NGj1bt3b0PqAQAAAADqPhrxAAAAANzf4cPS/PlVXxcdLY0da0iEkpISZWRkKDw8XF5eXsrNzZWvr68htfGzwHZt1empPynXfkjJn85X9u7vzY5UKRdPnNTB5/+pBm1aK2r6VDXqHU1DvgaUlpZq7dq12rp1q2E1g4ODFR8fr+bNmxtWEwAAAABQ99GIBwAAAOD+/vEPqbS06uueesrQGGfOnNGZM2fk6empkpISdevWzdD6+Fmgrb06P/2UcvYfUPK8Bbqw5wezI1VK/tFjOvDs8wpo11ZRd01TcM8eNOQNkpOTo8TERKWkpBhW02azaeLEiXypBgAAAABQZTTiAQAAALi3Y8ekTz6p+roePaTx443Po8vT8XCNhp06qsszf9OFH/Yqed4C5ezbb3akSsk7fET7n35WgTabou6aqqDu3WjI34QjR45oyZIlunjxoiH1rFarRowYoQEDBhhSDwAAAABQ/9CIBwAAAODenntOqk7j26Bnw6N2COraRV26dNaFPT8o+dP5yj1oNztSpeTa7dr317+rYaeOipw+VcHdupodya04nU6tW7dOGzZskNPpNKRmYGCg4uLiFBUVZUg9wB2cP39eISEhfCEIAAAAMBCNeAAAAADu68QJ6aOPqr6ua1cpNtbwODCXxWJRcPduCurWVdm7v1fyp/OVd+iw2bEqJWf/Ae37y9/UsEtnRd01TUGdO5kdqdbLz8/XokWLdPz4ccNqtm7dWrGxsWrQoIFhNYHazul06t5771VRUZGeeOIJ3X777bJarWbHAgAAANwejXgAAAAA7uv556Xi4qqv+/Ofjc+CWsNisahRzx4K7tFdWUk7lfzpAuUfPWp2rErJ2btPe//4FwV176aou6apYQeb2ZFqpZMnT2rRokXKzc01pJ7FYtGQIUM0dOhQJoJR76xfv167du2SJN1///3q2LGjHn/8cY0dO5aGPAAAAHATaMQDAAAAcE8pKdKHH1Z9XadOUlyc4XFQ+1gsFoX0jlaj6F7K/G6HUubNV/7xE2bHqpQL3+/RD9/vUXCvnoqaPlWB7duZHanW2LRpk77++ms5HA5D6vn7+ys2NlZt2rQxpB7gTpxOp1566aUy2w4cOKAHH3xQ7du31+OPP65x48bJw8PDpIQAAACA+6IRDwAAAMA9/c//SEVFVV/3pz9JTPjVKxaLRaExfRTSJ1qZ275T8rwFungy2exYlZK9c5eyd+5So97Ripo+VQFt62+z+NKlS1q6dKkOHTpkWM3IyEjFxcWpYcOGhtUE3MmGDRuUlJR01X2HDh3SI488ojlz5mjlypVMxwMAAABVRCMeAAAAgPtJT5fee6/q62w2ado04/PALVisVoX276eQmL46v2Wrkj9doEupqWbHqpSsHUnK2pGkkJg+ipw2VQGtbzE7kkulpaUpMTFR2dnZhtUcMGCARowYQXMR9ZbT6dTLL798w+MGDRrEvycAAABANdCIBwAAAOB+XnhBKiys+jqm4aHLDfmwgQMU2i9G5zZtVvK8hSpITzc7VqVkbtuuzG3bFdq/nyKnT1WDllFmR6px27dv1xdffKHS0lJD6vn6+mrChAnq0KGDIfUAd7VlyxZ999131z3G19dXM2fOdFEiAAAAoG6hEQ8AAADAvWRkSHPnVn1d27bSXXcZnwduy+LhocZDBits4ACd/XaDUuYnqCAjw+xYlXJ+y1ad37pNYQMHKHLaFPlHtjA7kuGKioq0fPly7du3z7CazZo1U3x8vBo1amRYTcBdVWYa/p577lFYWJgL0gAAAAB1D414AAAAAO7ln/+UCgqqvu6Pf5Q8PIzPA7dn8fBQk2G3qvGQwTrzzXqlLEhQ4ZkzZse6MadT5zZu0rlNm9V4yGBFTo2XX0Rzs1MZ4vTp00pISND58+cNq9m7d2/dfvvt8vTkoxCgtLRUffr00Q8//KDc3NyrHuPr66sHH3zQxckAAACAuoN7MgIAgP/P3n3HV13dfxx/3+yEkIQEyCJhCIY9RZElCDICBEgIoNQ6EHDW1Wqr1dZqq3a4W0WpiIsREmaYguyhgIiAIAhCEgIJZJBBxs29vz9s+xNzQ3LDN/lmvJ5/le/5ns9528cFJZ97zgGA+iMjQ5o92/l5bdtKt99ufB40KBZXVwUPv1m9335T1zxwrzxb1JNdoHa7Mjdv0b4HH9Z3r72pS+n1Y1d/Rfbv3685c+YY1oT38PBQbGysxowZQxMe+A9XV1c98cQT2rVrlx5//HH5+/uXe2fatGkKDg42IR0AAADQMNCIBwAAAFB//P3vUmGh8/N+9zuJBhyqyMXNTSEjblHvt99Su3tnyCMo0OxIVWOzKfPzTdp3/0M69uY/VXTunNmJnFJaWqrly5dr2bJlslqthtRs0aKFZsyYoW7duhlSD2hoAgIC9Nhjj2nXrl164oknFBAQIEny9PTU/fffb3I6AAAAoH7jJ1EAAAAA6ofz56V//cv5eZGR0p13Gh4HDZ+Lu7tCR49S8LCbdW79Z0pJSFJpdrbZsSpnsynjs43K/HyzWg6/WRHxcfJs0cLsVFd04cIFJSQk6JyBXx7o3r27xo4dK3d3d8NqAg2Vn5+fHn74YU2fPl3z5s1TQUGBQkJCzI4FAAAA1Gs04gEAAADUD6+8IhUUOD/vt7+VaMThKrh4eCh0TLRaDh+mc2vXK3Vxkkpzc82OVSl7WZnOrV2vjA2fK/iW4Wo1KVaezYPMjlXOoUOHtHz5cpWUlBhSz83NTaNHj1bv3r0NqQc0Jr6+vnrggQfMjgEAAAA0CDTiAQAAANR92dnSW285P69VK2n6dOPzoFFy9fRUWMxYBY8YrrOr1yo1aamsFy+aHatSdqtVZ1ev0bnPNihk5C1qFRcrj8BmZsdSWVmZ1q1bpy+++MKwmoGBgYqPj2cnLwAAAADAdDTiAQAAANR9r74q5eU5P+/JJyUPD+PzoFFz9fJS+MTxChk1Qumr1ihtyVJZ8/LNjlUpe2mp0leu0rl1nylk1AiFx02Ux3/ug65tubm5SkhIUFpammE1O3XqpPHjx8vT09OwmgAAAAAAVBeNeAAAAAB1W06O9MYbzs8LC5NmzDA+D/Afrt7eahU3USGjRyp95SqlLV2usupcn1DLbCUlOrN8pc6uWafQMaMVPnG83P39a239Y8eOacmSJbp06ZIh9VxcXHTLLbeoX79+htQDAAAAAMAINOIBAAAA1G2vvy5V5z7u3/xGYmcsaoGbj48iJk9S6JjROrMiWWeWrVBZYaHZsSplKylR2pJlSl+9VmFjoxU2Pkbufk1rbj2bTZ9//rm2bdtmWE0/Pz9NmjRJERERhtUEAAAAAMAINOIBAAAA1F0XL/7YiHdWcLA0a5bxeYArcGvSRJFTJytsbLTSlq3QmeUrZSsqMjtWpWxFRUpdnKT05NUKHTdG4ePHyc3X19A18vPztXjxYp06dcqwmu3bt9fEiRPl4+NjWE0AAAAAAIxCIx4AAABA3fXmm1J2tvPzfv1rydvb+DxAFbj5+qr1tFsVNm6s0pYuU3ry6nrRkC+7dEmpixYrPXmVwmLGKWzcGLk1aXLVdU+ePKnExEQVGHRsv8Vi0dChQzVo0CBD6gEAAAAAUBNoxAMAAACom/LzpVdfdX5eixbSffcZnwdwkrtfU7X55S8UFjNOaUuW6uyqNbKVlJgdq1JlBYVKmb9Q6SuSFTZ+nELHjpGbT8VfbLFYLBWObd26VZ9//rnsdrsh2Zo0aaK4uDi1bdvWkHoAAAAAANQUGvEAAAAA6qZ//lO6cMH5eY8/LhmwixcwikeAv9redYfCJ8QoLWmpzq5ZVy8a8tb8fJ3+ZL7OLF+p8InjFRo9SnL7/x8juLi4KDIyUm5u5X+0UFhYqCVLluj48eOG5WndurXi4uLUtGnN3WMPNDSpqamyWq1q06aN2VEAAACARsfF7AAAAAAAUE5hofSPfzg/LyhIeuAB4/MABvBo1kxtp9+l3u/8U6FjomVx0MCui6x5eTr14cfaO+t+pS9fKXtpqby8vNSxY0cFBQWVez81NVWzZ882tAk/cOBA/fKXv6QJDzjp5Zdf1uDBg/XII4/oxIkTZscBAAAAGhUa8QAAAADqnrffljIznZ/36KOSr6/xeQADeQYFqt3M6eoz+18KGT2y3jTkS3MvKuXDj9X0y33qeO218vYuf1z9rl27NHfuXF28eNGQNb29vXXrrbdq2LBhcnHhRxiAM06cOKGlS5eqrKxMCQkJuummm/TQQw8Z+iUZAAAAABXjb7EAAAAA6pZLl6S//c35ec2aSQ89ZHweoIZ4Ng/SNffOVO+331TwiOGyuLqaHemKLO7uajdrhqIeul+u7u6XjRUXF2vRokVau3atbDabIeuFh4dr5syZuvbaaw2pBzQ2b7755mW/H202m5KSkjRkyBDdf//9Onr0qInpAAAAgIavfnztHgAAAEDjMXu2dO6c8/Mefljy8zM+D1DDvFq2VPsH7lOrSbFKWbRYGRs3SQY1s43iGRysjk88Lt/215QbO3v2rBISEpSVlWXYetdff71GjBgh1zr+5QSgrjp16pQSExMdjtntdi1btkwrVqzQrl27FB4eXsvpAAAAgMaBRjwAAACAuqOoSPrrX52f5+//YyMeqMe8goPV4aEHfmzIL1yszM1b6kRDPvD6vurw8ENy821Sbmzfvn1avXq1rFarIWt5eHgoJiZGXbp0MaQe0Fi9+eabKisru+I7I0eOpAkPAAAA1CAa8QAAAADqjjlzpPR05+c99JAUEGB8HsAE3qGhuvaRh/7TkE/Q+a3bJLu91nNYXF3V+vZpCp84vtxYaWmpkpOT9fXXXxu2XnBwsOLj4xUUFGRYTaAxSklJUUJCQqXvPfLII7WQBgAAAGi8aMQDAAAAqBtKSqSXX3Z+XtOm0qOPGp8HMJlPq3BFPf6IIuLjdHrBIl3YvqPW1vYIDFTUbx6TX+dO5cbOnz+vRYsWKTMz07D1evbsqejoaLn/7O55AM576623Kj2l4pZbblHXrl1rKREAAADQONGIBwAAAFA3vP++lJrq/LwHH5QCA43PA9QRPpER6vjE4yr4YZJSFizShZ27anQ9/x7dFfX4I3L39y839s0332jlypUqKSkxZC03NzdFR0erV69ehtQDIN12223KyMjQunXrKnyH3fAAAABAzaMRDwAAAMB8paXSSy85P8/XV3r8cePzAHVQkzat1fG3v1H+iZNKWbBQWbu/NHYBFxdFTJ6kiCnxsri4XDZktVq1du1a7dmzx7DlgoKCFB8fr+DgYMNqApB69OihuXPn6uDBg3rttde0evXqy8Zvvvlm9ezZ06R0AAAAQONBIx4AAACA+T74QDp1yvl5990ncZ80Ghnfdm3V6anfKu/YcaUsWKTsPXuvuqa7v5+ufewRBfTsUW4sOztbCQkJSk9Pv+p1/qtLly4aN26cPD09DasJ4HJdu3bVnDlzdPjwYb3++utKTk6W3W5nNzwAAABQS2jEAwAAADCX1Sq9+KLz83x8pF//2vg8QD3RtEN7dX7mKeUd/U6n5y9Uzlf7q1enU0dF/eYxeTr4UsuRI0e0bNkyFRUVXW1cSZKrq6tGjhypvn37GlIPQOU6d+6s2bNn6+jRo1q3bp369OljdiQAAACgUaARDwAAAMBcH30knTzp/LxZs6SWLY3PA9QzTaOuVZc/PqOL3x7R6U8XKPfAN1WeGz5xvFrfPk0WV9fLnttsNm3YsEE7duwwLKe/v7/i4+MVHh5ebsxaWChXb29ZLBbD1gNwuaioKEVFRZkdAwAAAGg0aMQDAAAAME9ZmfSXvzg/z8tLeuIJ4/MA9Zhfp47q+vwflXvokE5/ulAXDx6q8F3XJk3U4eEHFXTD9eXGLl68qMTERJ0+fdqwbNdee60mTJggb2/vcmPnPtugE7PnyKdNa0XeNlUBPXvQkAcAAAAA1Hs04gEAAACY59NPpePHnZ83Y4YUEmJ8HqAB8O/SRV1feE653xzU6U8XKO/bI5eNN7mmnTo+8Wt5hQSXm3vixAklJiaqsLDQkCwWi0XDhg3TgAEDyo2VFRfrxOz3lLHhc0lS/nfHdPiPz6tpp46KvG2q/Lt1pSEPAAAAAKi3aMQDAAAAMIfNJv35z87P8/SUnnzS+DxAA2KxWBTQvZv8u3VV7tcHdOqT+cr/7phCRo1U23vukou7+2Xv2+12bdmyRZs3b5bdbjckg6+vryZNmqTWrVuXG7uUlqYjL/9DhadOlRvL+/aIDj3zR/l17aLI26bIv0sXQ/IAAAAAAFCbaMQDAAAAMMfChdLRo87Pmz5dcnDHNIDyLBaLAnr2kH+P7irNzpZHYGC5dwoKCpSUlKQTJ04Ytm7btm0VFxenJk2alBs7v227jr/1tsouXbpijYsHD+ngU8/Kv3s3Rd42VX6dOhqWDwAAAACAmkYjHgAAAEDts9mkF15wfp6Hh/Tb3xqfB2jgLBaLwyb86dOntXjxYuXl5Rm21uDBgzVkyJByx8rbSkt18v15OrtqtVP1cg98o28OfKOAXj0VeesUNY261rCsAAAAAADUFBrxAAAAAGrf4sXS4cPOz7vzTikiwvA4QGO0Y8cObdiwQTabzZB6Pj4+mjhxotq3b19urOhcho7+7R/KP3a82vVzvtqvnK/2q1mf3oq4dYqadii/DgAAAAAAdQWNeAAAAAC1rzq74d3dpaeeMj4L0MgUFRVp6dKlOlqdqyEq0KpVK8XHx8vPz6/cWNaXe3TstTdlzc83ZK3svfuUvXefAq/vq4hbp8i3XVtD6gIAAAAAYCQa8QAAAABqV1KS9M03zs+7/XapdWvj8wCNSHp6uhYtWqScnBzDavbr10/Dhw+Xq6vrZc/tZWU69fGnSluyTLLbDVvvv7K++FJZX3ypoBtvUMTUKWrShj8f0Hjk5uYqKSlJU6dOlbe3t9lxAAAAADhAIx4AAABA7Xr+eefnuLlJTz9tfBagEdmzZ4/WrFmjsrIyQ+p5enpq/Pjx6tSpU7mxkqwsHf3bq7pYnSsonHRh525d2LlbQQP6K3LqZPlEcn0FGr73339ff//73/XGG2/ovvvu0+23305DHgAAAKhjXMwOAAAAAKARWb5c2r/f+XnTpknt2hmfB2gESkpKlJiYqOTkZMOa8CEhIZo5c6bDJnzO1we0/5Ff10oT/qcubN+hr371qI7+41UVpqbV6tpAbcrLy9N7770nScrIyNBzzz2nfv366e2331ZBQYHJ6QAAAAD8F414AAAAALWnOrvhXV3ZDQ9UU0ZGht577z0dPHjQsJp980fgfgAAIABJREFU+vTR9OnTFRgYeNlzu82mlIUJOvTH51Wam2vYek6x23V+yzZ99dAj+u7VN3QpPd2cHEANmjt3rnJ/9nvs/PnzeuGFF9SvXz+99dZbys/PNykdAAAAgP/iaHoAAAAAtWPVKmnPHufnTZ0qdehgfB6ggfv666+VnJys0tJSQ+q5u7tr7Nix6t69e7mx0osX9d0rryvnq2qceFETbDZlbtqszC1b1XLoEEVMjpNXSIjZqYCrlp+fr9mzZ1c4npWVpRdffFHt2rVTdHR0LSYDAAAA8HM04gEAAADUjj/9yfk5Li7S739vfBagAbNarVq9erX27dtnWM3mzZtr8uTJatGiRbmxi0eO6OjfXlHJ+QuGrWcYm00ZGzYqc9NmtRw2VK3i4+TVsqXZqYBqmzdvnnJycq74TseOHTVq1KhaSgQAAACgIjTiAQAAANS8tWul3budnxcfL3XsaHweoIHKyspSQkKCzp49a1jNbt26aezYsfLw8Cg3lrZqjU79e67sVqth69UEe1mZzq37TBkbNyn4lmFqNSlOns2DzI4FOKWwsFDvvPNOpe89/PDDcnHhNkoAAADAbDTiAQAAANS86uyGt1ikZ54xPgvQQH377bdatmyZiouLDann6uqq0aNHq0+fPuXGysrK9MMPPyg7MECtbpuqs8uWqzT3oiHr1iS71aqzq9fq3PoNChl5i8LjYuUZFFj5RKAOWLRokbKysq74TocOHTRmzJhaSgQAAADgSmjEAwAAAKhZGzZIO3Y4Py82VurSxfg8QANTVlamzz77TLt27TKsZrNmzRQfH6/Q0NByY4WFhTpx4oSKi4tlcXdXaMxYhY8ZrfRVa5SWtFTWvDzDctQUu9Wq9OTVOrd+g4JHjlCruAnyaNbM7FjAFU2bNk1eXl564403dOrUKYfvPPzww3J1da3lZAAAAAAc4ZwqAAAAADWrurvhn33W+CxAA5Obm6sPPvjA0CZ8x44dNXPmTIdN+LKyMh05cqTcrntXLy+1ip2gPu++rchf3CY3X1/D8tQkW0mJ0les1N6Z9+vk3Hkqzc01OxJQIXd3d02dOlWbN2/Wq6++qrZt21423q5dO8XExJiUDgAAAMDP0YgHAAAAUHM2b5a2bHF+3vjxUvfuxucBGpDjx49r9uzZSk1NNaSei4uLRowYoSlTpsjLy8vhOzabTXa7vcIabj7eioiPU593/6WIW6fItYmPIdlqmq2kRGeWLteemffrhw8/VunFur+rH42Xu7u7Jk+erE2bNunNN99U+/btJbEbHgAAAKhrOJoeAAAAQM2pzm54id3wwBXYbDZt2rRJW7duNaymn5+fJk2apIiICEPquTVposipkxU2Nlppy1YofUWyyi5dMqR2TbIVFSktcYnSk1crLGaswsePqze7+9H4uLm5KTY2VuPHj9fatWs1YsQIsyMBAAAA+Aka8QAAAABqxrZt0saNzs8bO1bq1cv4PEADkJ+fr8TERP3www+G1bzmmmsUGxsrHx/jd6+7+fqq9bRbFTZurM4sW64zK1fJVlRk+DpGsxUVKXXRYqWvXKWw8eMUNm6M3Jo0MTsW4JCrq6uio6PNjgEAAADgZ2jEAwAAAKgZ7IYHDPXDDz8oMTFR+fn5htSzWCy66aabNHjwYFksFkNqVsTdr6la3z5NYTFjlbZ0udKTV8v2s3vm66KywkKlzF+oM8tXKnxCjELHRsutBr6wAAAAAABoeGjEAwAAADDerl3S+vXOzxs1Surb1/g8QD23bds2bdy48Yr3szujSZMmio2NVbt27QypV1Xu/v5qc8ftChs/TmlJS3V29VrZSkpqNUN1lBUU6PQn83Vm+QqFTxiv0DGj5ertbXYsAAAAAEAdRiMeAAAAgPGquxv+D38wNgdQz126dElLlizRsWPHDKsZGRmpSZMmqWnTpobVdJZHQIDa3n2nwieMV2piks6uXS97aalpearKmpevUx99orRlK9QqdoJCokfJ1dPT7FgAAAAAgDqIRjwAAAAAY+3ZI61e7fy84cOlfv2MzwPUU2lpaUpISFBubq5hNfv3769hw4bJxcXFsJpXwyOwmdrNmK7wiROUujhJ59Z/JrvVanasSlkvXtQPH3yotKXLFR47QSGjRtCQBwAAAABchkY8AAAAAGOxGx64al988YXWrVunsrIyQ+p5eXlpwoQJioqKMqSe0TybB+mae2eoVdwEpSQkKeOzDbIb9M9ek0pzcvTD+x8obckytZoUq5ARw+Xi4WF2LAAAAABAHUAjHgAAAIBx9u+XVqxwft7QodLAgcbnAeqZ4uJirVixQocOHTKsZlhYmOLj4xUQEGBYzZri2aKF2t8/68eG/KJEZWz8XLLZzI5VqdLsbJ18799KS1qiVvFxCh4+TC7u7mbHAgAAAACYiEY8AAAAAONUdzf8s88amwOoh86dO6dFixYpKyvLsJp9+/bVyJEj5erqaljN2uAVHKwOD92vVpNilbooQRmbttSLhnzJhSydeOc9pSUuUavJk9Ty5qFyceNHLwAAAADQGNWNS+EAAAAA1H8HDkhLlzo/b/BgacgQw+MA9clXX32lOXPmGNaE9/DwUFxcnKKjo+tdE/6nvEND1OHhh9T7rdfV4qbBksVidqQqKc48r+//+Y723f+Qzn22sV4cs4+6oaysTI899ph27dpldhQAAAAAV4lGPAAAAABjPP+8ZLc7P++ZZ4zPAtQTpaWlWrZsmZYvXy6r1WpIzZYtW2rGjBnq2rWrIfXqAu/wMF372MPq9eZraj5oQP1pyJ/L0PE3/6l99/9KGZ9voiGPSq1YsUILFy5UXFycJk2apG3btslenX+3AgAAADAdjXgAAAAAV+/QISkx0fl5/ftLw4cbnweoBy5cuKA5c+Zo//79htXs0aOH7rnnHjVv3tywmnWJT0QrRf36MfV8/RUF9b/R7DhVVnT2rI699qb2PfiIMjdvpSEPh2w2m1577bX//Xrnzp2aMmWKYmNjtWXLFhryAAAAQD1DIx4AAADA1XvhBXbDA044dOiQ3n33XWVkZBhSz83NTTExMZowYYLc3d0NqVmXNWkdqY5P/lo9X/uHAm+43uw4VVZ05oy+e+U1ffWrx3R+23bZ68G996g9ycnJOnbsWLnnX3zxhW699VbFxMRo69atJiQDAAAAUB1uZgcAAAAAUM8dPSotWuT8vOuvl0aNMj4PUIeVlZVp7dq1+vLLLw2rGRgYqPj4eIWEhBhWs75o0raNOj31pPKPf6/TCxYq+8u9ZkeqkkupqTr6t1fk0zpSkbdOUeAN18viwl6Jxsxms+n111+/4jv79u3TgQMHNGjQoFpKBQAAAOBq0IgHAAAAcHVeeEGqzq7OZ581PgtQh+Xk5CghIUFnzpwxrGbnzp0VExMjT09Pw2rWR77tr1Hn3z+lvO+O6fT8hcrZ95XZkaqk8NRpHXnpb2rStq0ibp2iwOuvk8ViMTsWTLBmzRp9++23V3wnICBAd9xxRy0lAgAAAHC1aMQDAAAAqL5jx6T5852f16ePNGaM8XmAOuq7777TkiVLVFRUZEg9FxcXjRgxQjfccIMh9RqKptd2UJc//F4XjxxVyvyFytn/tdmRqqTg5Ekd+ctLanLNNYq8bYqa9elNQ74RsdvtevXVVyt9b+bMmfL19a2FRAAAAACMQCMeAAAAQPX9+c9SWZnz87gbHo2EzWbTxo0btX37dsNq+vv7a9KkSWrVqpVhNRsav45R6vLcs8o9dFgp8xcq95uDZkeqkoLvv9e3z/9Fvh06KPK2KQro1ZOGfCNw5MgRHT9+/Irv+Pv766677qqlRAAAAACMwAVkAAAAAKrnxAnpk0+cn9ezpzR+vPF5gDomLy9PH374oaFN+A4dOmjWrFk04avIv0tndX3hOXV5/o/y69zJ7DhVln/smA4/94K++e3Tyvn6gOx2u9mRUIM6deqk7du36+67767wmol77rlHfn5+tZwMAAAAwNWgEQ8AAACgev7yF8lqdX7e739vfBagjjlx4oRmz56tU6dOGVLPYrHo5ptv1m233SZvb29DajYmAd27qetfnleX555V06gos+NUWd6Rozr07HM6+PSzyj14yOw4qEFhYWF6/vnntXPnTt1zzz3y8vL631jTpk119913m5gOAAAAQHXQiAcAAADgvFOnpA8/dH5e165SXJzxeYA6ZMuWLfr4449VUFBgSD1fX1/98pe/1KBBgwyp11hZLBYF9Oyhbi//WZ3/8Hv5dmhvdqQqu3josA4+/awOPvNHXTz8rdlxUIOCg4P13HPPaefOnbr33nvl7e2tu+++WwEBAWZHAwAAAOAk7ogHAAAA4LwXX5RKS52fx93waMAKCwuVlJSk77//3rCabdq0UVxcnHx9fQ2r2dhZLBY1691LAb16KnvPXp2ev1AF358wO1aV5B74Rt8c+EYBPXso4tYp8utYf3b3wzktW7bUM888o/vvv1/u7u5mxwEAAABQDTTiAQAAADgnNVWaO9f5eZ07S5MmGZ8HqANSUlK0ePFiXbx40bCagwYN0pAhQ+TiwmF2NcFisSiw73Vqdl0fZX3xpU5/ukCFPxhzlUBNy9n/tXL2f61mfXop4tapalqPdvfDOUFBQWZHAAAAAFBNNOIBAAAAOOell6SSEufnPf20REMRDdDOnTv12WefyWazGVLP29tbEydOVIcOHQyphyuzWCwKuuF6Bfa9Thd27VbK/IUqPJ1idqwqyd77lbL3fqVmfa9T5G1T5NuundmRAAAAAAD/QSMeAAAAQNWdOSPNmeP8vKgoaepU4/MAJioqKtKyZct05MgRw2qGh4crPj5e/v7+htVE1VhcXNS8/40K6neDzm/fqZQFC3UpNc3sWFWS/eUeZX+5R4H9blDkrZPVpE0bsyMBAAAAQKNHIx4AAABA1b38slRc7Py8p55iNzwalPT0dCUkJCg7O9uwmjfccINuueUWubq6GlYTzrO4uKjFoAFq3r+fzm/bodMLFqroTLrZsaoka9duZe3araABNypy6mT5REaaHQkAAAAAGi0a8QAAAACq5uxZ6b33nJ93zTXStGnG5wFMsnfvXq1Zs0ZWq9WQep6enoqJiVHnzp0NqQdjWFxd1eKmQWo+sL8yN29VysJFKjp7zuxYVXJh+05d2LFLzQf2V8TUyfJp1crsSAAAAADQ6NCIBwAAAFA1f/ubdOmS8/Oeekpihy8agJKSEiUnJ+vAgQOG1QwODlZ8fLyCgoIMqwljWVxd1fLmIWo+eKAyN21WysLFKs7IMDtW5ex2nd+6Xee371SLwQMVMSVe3mFhZqcCAAAAgEaDRjwAAACAymVmSu+84/y8Nm2kX/7S8DhAbcvMzFRCQoIyMzMNq9mrVy9FR0fLzY2/mtcHLm5uCh4+TC1uGqyMjZ8rZVGiSs6fNztW5Ww2ZW7aoswt29RyyE2KmDJJXiEhZqcCAAAAgAaPv+0DAAAAqNzf/y4VFjo/76mnJJqMqOcOHDiglStXqrS01JB67u7uGjNmjHr06GFIPdQuF3d3hYwcoZY3D9W59RuUmpCokqwss2NVzmZTxsbPlbl5i1rePFSt4uPkFdzS7FSNit1ul8ViMTsGAAAAgFrCT8QAAAAAXNmFC9K//uX8vMhI6c47DY8D1Bar1ao1a9Zo7969htVs3ry54uPj1bIlDdD6zsXdXaHRoxQ8/GadXbteqYlJKs3OMTtWpexlZTq3/jNlfL5JLYfdrIj4OHm2aG52rEZh1qxZCgsL03333afg4GCz4wAAAACoYTTiAQAAAFzZK69I+fnOz/vtbyV3d+PzALUgOztbCQkJSk9PN6xm165dNW7cOHl4eBhWE+Zz8fBQ2LgxCh4xXGfXrFNa4hKV5uaaHatSdqtV59auU8aGjQoeMVytJsXKMyjI7FgN1tdff63k5GRJ0kcffaRp06bpvvvuU2hoqMnJAAAAANQUF7MDAAAAAKjDsrOlN990fl6rVtL06cbnAWrBkSNH9O677xrWhHd1dVV0dLTi4uJowjdgrp6eCh8/Tn3e/Zda33G73Jo2NTtSlditVp1dtUZ7Zz2gE3PeV0l2ttmRGqTXXnvtf/+7qKhI//73v9W/f3899dRTSktLMzEZAAAAgJpCIx4AAABAxV59VcrLc37eE09INBxRz9hsNq1bt04LFy5UUVGRITUDAgJ09913q2/fvobUQ93n6uWlVrET1Ofdt9X69mly8/U1O1KV2EtLlb4iWXtn3q+Tc+epJKfu7+qvLw4ePKh169aVe15SUqJ58+ZpwIABevrpp2W3201IBwAAAKCmcDQ9AAAAAMdyc6U33nB+XmioNGOG8XmAGnTx4kUtXrxYKSkphtWMiorShAkT5OXlZVhN1B9uPt5qNSlWIdGjlL4iWWnLlqusoNDsWJWylZTozNLlOrt6rULHjFb4xPFy9/MzO1a99tPd8I6UlpaquLhYFoullhIBAAAAqA004gEAAAA49vrrPzbjnfWb30g0HlGPfP/990pKSlJhoTFNUhcXFw0bNkz9+/c3pB7qNzcfH0VMiVfomGidWb5CZ5avVNmlS2bHqpStuFhpSUuVvmqNwsZGK2xCjNzryXH7dcnhw4e1evXqK77j6uqqBx98sJYSAQAAAKgtNOIBAAAAlJeXJ1Wyg8+h4GDp3nuNzwPUALvdrk2bNmnr1q2GHQndtGlTxcXFqXXr1obUQ8Ph5ttEkbdNVei4MTqzbIXOrEiWzaArEGqSrahIqYuTfmzIjxujsJhxcvNtYnaseuP111+v9J3Y2Fi1adOm5sMAAAAAqFU04gEAAACU9+abUna28/N+/WvJ29v4PIDBCgoKlJSUpBMnThhWs127doqNjVWTJjQpUTH3pk3V+he3KSxmrNKWLFN68mrZiovNjlWpssJCpSxM0JmVyQofH6PQcWPk5uNjdqw6raSkRBkZGVd8x8XFRQ899FAtJQIAAABQm1zMDgAAAACgjsnPl155xfl5LVpI991nfB7AYKdOndLs2bMNa8JbLBbddNNN+sUvfkETHlXm7uenNnfcrj7vvq2wCTFy8fAwO1KVlBUU6vSnC7R35n1KXZwka2HdP2bfLB4eHkpKStKCBQt0ww03OHxnwoQJuuaaa2o5GQAAAIDaQCMeAAAAwOX++U/pwgXn5z32mEQTEnXc9u3b9eGHHyovL8+Qej4+Ppo2bZqGDBkii8ViSE00Lh4B/mp71x3qM/tfCh03RhZ3d7MjVYk1L1+nPvpEe2fdr9SkpSqrB8fsm8FisWjQoEFKSkrS4sWL1b9//8vGHn74YRPTAQAAAKhJHE0PAAAA4P8VFkr/+Ifz84KCpAcfND4PYJBLly5p6dKl+u677wyrGRERoUmTJsnPz8+wmmi8PAKbqd09dyt84nilJS7R2bXrZbdazY5VKevFizo17yOdWbpc4XETFDJqpFw9Pc2OVSfdeOONSkhI0O7du/Xaa6+pWbNmat++vdmxAAAAANQQGvEAAAAA/t/bb0uZmc7Pe+QRydfX+DyAAc6cOaOEhATl5OQYVvPGG2/U8OHD5eLCQXMwlmdQkNrNvEfhEycodXGizn22sV405Etzc/XD+/OUtmSZWsXFKmTkLfXmuP3adsMNN2j+/PkqLi42OwoAAACAGkQjHgAAAMCPLl2S/v535+cFBEi/+pXxeQADfPnll1q7dq3KysoMqefl5aXx48erY8eOhtQDKuLZormuuW+WwmMnKjUhUec2bJRsNrNjVao0O0cn57yvtKSlahUfp+Bbhsmlnhy3X9s8OTkAAAAAaNBoxAMAAAD40bvvSmfPOj/vkUckjuZGHVNSUqIVK1bo4MGDhtUMDQ1VfHy8mjVrZlhNoDJewS3V/sH7FB43UamLFitj0+Z60ZAvycrSidnvKTVxiSLi49Ry2FAa8gAAAAAaFRrxAAAAAKTiYumvf3V+nr+/9PDDxucBrkJGRoYWLVqkCxcuGFbzuuuu08iRI+Xmxl+jYQ7v0BB1ePhBtYqPVcrCBGVu2VY/GvLnz+v7t2crNTFJEZMnqcXQIXLh9xEAAACARoDL7AAAAABIc+ZIZ844P++hh348mh6oI/bv3685c+YY1oR3d3dXbGysxowZQxMedYJ3WJiuffRh9XrzVTUfPFCyWMyOVCXFGZk6/tbb+uqBXylj4+eyG3RdBAAAAADUVTTiAQAAgMaupER66SXn5zVtKj36qPF5gGooLS3V8uXLtWzZMpWWlhpSs0WLFpoxY4a6detmSD3ASD6tWinq8UfV641XFDTgRrPjVFnR2XM69vpb2vfgw8rYtIWGPAAAAIAGi6/zAwAAAI3d++9LqanOz3vgASkw0Pg8gJMuXLighIQEnTt3zrCa3bt315gxY+Th4WFYTaAm+ERGquMTv1bBDz/o9PxFytq12+xIVVJ0Jl3HXn1dqQmLFTF1ipoPuFEWF/aLAAAAAGg4aMQDAAAAjVlpafV2wzdpIj3+uPF5ACcdPnxYy5cvV3FxsSH13NzcNHr0aPXu3duQekBtadKmjTr97gnlf39Cp+cvVPaXe8yOVCWXUtP03d9fUeqiCEXcOkVB/W6gIQ8AAACgQaARDwAAADRm8+ZJp045P++++6TmzY3PA1RRWVmZ1q9fr927jdv926xZM8XHxys0NNSwmkBt872mnTr//nfKO3ZcKfMXKnvvPrMjVUnh6RQdffnvatK2jSKmTlbgDdfLYrGYHatKCgoK5OnpKTc3fswGAAAA4P/xFWMAAACgsbJapRdfdH6et7f0m98YnweootzcXM2dO9fQJnynTp00c+ZMmvBoMJp2aK/Ozz6t7n99UQE9e5gdp8oKTv6gIy/+VV8//oSyvtwju91udqRKvfzyyxoyZIgWLVokq9VqdhwAAAAAdQSNeAAAAKCx+vhj6cQJ5+fde6/UsqXxeYAqOHbsmGbPnq20tDRD6rm4uGjkyJGaPHmyvLy8DKkJ1CVNo65Vl+eeVbcXX5B/925mx6mygu9P6NsXXtSB3/xW2fu+qrMN+YyMDH3yySc6efKkHn30UQ0ePFgLFixQaWmp2dEAAAAAmIxGPAAAANAYlZVJf/mL8/O8vKQnnjA+D1AJm82mDRs26NNPP9WlS5cMqenn56c777xT/fr1M6QeUJf5de6krs//UV1feE5+XTqbHafK8o8d1+HnXtA3Tz6tnP1f17mG/DvvvKOioqL//frUqVN6/PHHNWjQIH388ccqKSkxMR0AAAAAM9GIBwAAABqj+fOlY8ecnzdjhhQSYnwe4Ary8/P10Ucfadu2bYbVbN++vWbNmqWIiAjDagL1gX+3rur65z+py5/+oKYdo8yOU2V5R4/q0B/+pINPPaPcbw6aHUeSdP78ec2bN8/hWEpKip588kkNGDBAmZmZtZwMAAAAQF3gZnYAAAAAALXMZpNeeMH5eZ6e0pNPGp8HuIIffvhBiYmJys/PN6SexWLRkCFDNHjwYEPqAfWRxWJRQI/u8u/eTTlf7dfp+QuV/101vpxlgouHv9XB3/9Bfl27KPK2qfI3cXf/7NmzL9sN70hERISaN29eS4kAAAAA1CU04gEAAIDGZuFC6ehR5+fdfbcUHm58HqACW7du1eeff27YUdRNmjRRXFyc2rZta0g9oL6zWCxq1ruXAnr1VPbefTr96UIVfP+92bGq5OLBQzr41DPy79FdkbdNlV8t7+7PysrSBx98UOl7jzzyiCwWS80HAgAAAFDn0IgHAAAAGpvq7Ib38JB+9zvjswAOFBYWasmSJTp+/LhhNVu3bq24uDg1bdrUsJpAQ2GxWBR4XR8169NbWV/sUcr8BSo4+YPZsaok9+sD+ubrAwro3UuRt05R02s71Mq67777rgoLC6/4Tp8+fTRo0KBayQMAAACg7qERDwAAgAbp2Wef1cKFCx2O7d27V76+vtWu/d133ykmJqbCXbrNmzfX9u3bq11fkl566SXNnTvX4diSJUvUuXM1j+JNSJAOH3Z+3h13SNyljVqQmpqqxYsXKzc317CaAwcO1NChQ+Xi4mJYTaAhslgsCrqhrwL79lHW7i90ev5CFZ46bXasKsnZ95Vy9n2lZn37KPLWqfK9pl2NrhcSEqKgoCBduHChwnceffRRdsMDAAAAjRiNeAAAADRIAQEBFY4VFBRcVSN+zpw5Vzwq+2obiAUFBVq8eLHDsf79+1e/CS9Vbze8u7v01FPVXxOoot27d2vdunWy2WyG1PP29taECRN07bXXGlIPaCwsLi4KurGfAm+4Xhd27NTp+Yt0KTXV7FhVkv3lXmV/uVeBN/RVxNQp8m1XM1dR3HnnnZo8ebI++ugjvf3228rMzLxsvFevXhoyZEiNrA0AAACgfmA7AAAAABokPz+/Csfy8/OrXffMmTNKTk6+4julpaWVHld7JYmJicrLy3M4Nn369GrX1ZIl0oEDzs+7/XapTZvqrwtUori4WAkJCVqzZo1hTfiwsDDNnDmTJjxwFSwuLmo+cIB6vfGKrn38EXmFhZkdqcqydn+prx/9tY689DcV1NCufh8fH82aNUs7d+7Un/70J4WEhPxvjLvhAQAAALAjHgAAAA2Sv79/hWMFBQXVrjt37lxZrdZK38vNzZWPj4/T9W02mz766COHY1FRURo4cKDTNf/n+eedn+PmJj39dPXXBCpx9uxZJSQkKCsry7Ca119/vUaMGCFXV1fDagKNmcXVVS0GD1LzAf2VuWWrUhYkqOjsWbNjVcmFnbt0YdduNR/QXxFTJ8snopXha3h7e2v69OmaNm2aFixYoC1btmjYsGGGrwMAAACgfqERDwAAgAbpSo346u6Iz8nJqfDI+J/Lzc1VaGio02ts3LhRp0873rl3Vbvhly+XvvrK+Xm33Sa1q9l7dtF47du3T6tXr67Sl1uqwsPDQzExMerSpYsh9QBczuJcyZwkAAAgAElEQVTqqpZDh6jF4EHK+HyzUhYmqDgjw+xYlbPbdX7bdp3fvkMtBg9SxJR4eYcbv7vfy8tLd955p+68807DawMAAACof2jEAwAAoEG60tH01d0R/8knn1T5yPnq3hM/b948h89DQ0MVHR1drZqSqrcb3tWV3fCoEaWlpUpOTtbXX39tWM2WLVtq8uTJCgoKMqwmAMcsrq4KHn6zWgwZrIyNnyt10WIVZ543O1bl7HZlbt6izK3b1HLIYLWaHC/v0JDK5wEAAABANTSqRnxUVJRF0nOSnpTkLmnz0aNHh5qbCgAAADUhICCgwrHq7IgvKirSxx9/XOX3q9OIP3z4sL744guHY3fccYfc3d2drilJWrVK2rPH+XlTpkjcrw2DnT9/XgkJCcowcBdtz549FR0dXf3fIwCqxcXNTSEjblHLoUN07rMNSk1IVMkF466ZqDE2mzI2blLGpi1qefNQRUyeJK/glmanAgAAANDANJpGfFRUlKekDyRN/cnjNqaEAQAAQI0zekd8YmKiwzus+/btqy+//LLc8+o04j/44AOHz5s2bar4+Hin6/1PdXbDu7hIv/999dcEHDh48KBWrFihkpISQ+q5ubkpOjpavXr1MqQegOpxcXdX6OhRCh52s86t/0wpCUkqzc42O1blbDZlfLZBmZ9vUsvhNysiPk6eLVqYnQoAAABAA+FidoDaEBUV1VzSBl3ehJckiwlxAAAAUAuu1Ih3dkd8WVmZ5s6dW+65m5ubHnzwQYdznG3EZ2RkaNWqVQ7Hpk6dKl9fX6fq/c+6ddKuXc7Pi4+XOnWq3prAz5SVlWnVqlVKTEw0rAkfFBSke+65hyY8UIe4eHgodEy0+sz+p9pOv0vu/v5mR6oSe1mZzq1dr733Pqjv33mvfuzqBwAAAFDnNfgd8VFRUddKWiXpmv88KpPkal4iAAAA1AZfX1+5u7urtLS03JizO+LXrFmjlJSUcs9Hjx6tqKgoh3MuXrzo1BqffPKJw6zu7u66/fbbnap1mT/9yfk5Fov0zDPVXxP4iezsbC1evFhnzpwxrGbnzp0VExMjT09Pw2oCMI6rp6fCYsYqeMRwnV29VqlJS2V18t+LZrBbrTq7eo3OfbZBLr16yG1Af1maVvOLcAAAAAAavQbdiI+KihosaYmkwP88Oibpr5LeMy0UAAAAak3Tpk0dHifv7I74OXPmOHx+zz33VLjzPicnp8r1i4uLtXDhQodj48aNU3BwcJVrXWbjRmn7dufnxcZKXbpUb03gJ44ePaqlS5eqqKjIkHqurq4aMWKErr/+ekPqAahZrl5eCp84XiGjRig9ebXSli6TNc+5fwebwV5aqrIv9qhs33659ukttwH9zI4EAAAAoB5qsI34qKio2yXNkeTxn0c7JMVI6mZaKAAAANQqf39/h414Z3bEb9++XYcPHy73fODAgerYsaMkycfHR4WFhZeNO3M0/bJly5Tt4C5di8Wi6dOnV7lOOc895/wcdsPDADabTRs2bNCOHTsMq+nv76/4+HiFh4cbVhNA7XD19larSbEKiR6l9JWrlLZ0ucqcPJ3GFFarynZ/obK9+3T6+5OKjJtYb47bBwAAAGC+BnlHfFRU1ARJH+r/m/CLJQ07evToBfNSAQAAoLb5V/DDcmca8e+95/gwpXvuued//9vR/e3OHE0/b948h89vuukmtW/fvsp1LrN5s7Rli/PzYmKkHj2qtyYgKS8vT/PmzTO0Cd+hQwfNmjWLJjxQz7n5+Chi8iRd9+7birh1ilx9fMyOdEUlNptOXyqUrFadXbZCe2ber1MffaLSi3lmRwMAAABQDzTUHfHHJBVIaiLpNUmPHz161GZuJAAAANS2io6Nr+rR9AcPHtTOnTvLPe/atatuvPHG//26adOmysjIuOydqu6I37p1q44fP+5w7Kp2w1fnbnhJevbZ6q+JRu/EiRNKTEwsd0JEdVksFg0bNkwDBgwwpB6AusHNt4kip05W2NhopS1boTPLV8pm0BUWRtp4PkPvn/5B1wcEalJYuNpISl2cpPTk1QodN0bh48fJzcGX8QAAAABAaqCN+KNHjx6KioqaKKnV0aNH55qdBwAAAOa42h3xVdkNL/3YiP+5qjbiK9oN37179+rfg719+4/3wztrzBipd+/qrYlGzW63a8uWLdq8ebPsdrshNX19fTVp0iS1bt3akHoA6h43X1+1nnarwsaNUdrS5UpPXl1nGvKlNpuWpZ+RJH2Rk6UvcrJ0XUAzxYWG6xpJqYsWKz15lcJixils3Bi5NWlibmAAAAAAdU6DbMRL0tGjR9ebnQEAAADmqqgRX5Ud8adPn9b69eX/kzIyMlIjR4687Fl1G/Hff/+9tm3b5nCM3fCoLwoKCpSUlKQTJ04YVrNt27aKjY11eO0DgIbH3c9PbX75C4XFjFPakqU6u2qNbCUlpmbadCFTF0ovz7AnJ1t7crLVyz9Ak0LD1UFSyvyFSl+RrLAJMQodEy03H29zAgMAAACocxrkHfEAAACAVPHR9FXZEf/vf/9bZWVl5Z7fddddcnG5/D+jHTXi8/PzHc7/qXnz5jncPRwZGakRI0ZUmtGh3buldeucnzdqlFTdHfhotE6fPq3Zs2cb2oQfPHiwbr/9dprwQCPkEeCvtnfdoT7v/kuh48bKxcPDlBxWm01L0tMqHP8qN0dPHzmkPTnZP76fn6/TH3+qvTPvU2riEpVdulRbUQEAAADUYTTiAQAA0GBVd0f8hQsXtGTJknLPAwMDFRsbW+65o0a83W7XxYsXK1wjOztby5Ytczh25513lmv2V1l1d8P/4Q/Vm4dGa8eOHZo3b57y8vIMqeft7a1p06Zp6NChslgshtQEUD95NGumdvfcpd7v/FOhY6JlcavdAx23XDiv85XsyA/y8FBPv8v/O8Oal6dTH36svbPuV9rS5SorLq7JmAAAAADqOBrxAAAAaLAqasRfunRJNputwnkffvihih388PwXv/iFvLy8yj2vaOfulY6nX7BggYoc3IPbrFkzh83+KtmzR1q1yvl5w4dL/fpVb000OkVFRVqwYIHWr19/xd9HzmjVqpVmzZql9u3bG1IPQMPgGRSodjOnq8/sfylk9MhaachbbTYlXWE3/H9NDAmTWwVfmivNvagf5s7T3pn368yKlTTkAQAAgEaqwd4R35hZrVZ2kKDBsFqtVXoG1Gd8ztEYmPU5b9KkicPndrtdubm5DhvohYWF+vTTT8s99/b21pQpU1RaWlpuzMfHx+E6WVlZCg8PL/e8tLTU4RqSNHXqVLm5uTlc56dcXFzk6up6+UODdsPb7Xb+HKqGhvTnuZubm8O/U6SnpyshIUHZ2dmGrdWvXz8NHz683OfZbrfLZrMZ1uyHMRrS5xz1h4u/nyKn36XgmLE6k7hE5z/fLHsl179U17asC8oouXLjPNDdQ0Obt6y0VmlOjk7OmavUpKUKmzhBLYbfLBd3d6OiAleFP8/RGPA5R2PA5xyNQX3+TNOIb4C+/fZbsyMANerw4cNmRwBqHJ9zNAa18TnPzMyscGzPnj0KDAws9zw5OdnhkfKDBw/WqVOnHNaq6Gju/fv3O7wDftu2bcrIyCj33MPDQz169NCBAwcqzP1fvXr1+vli0ooVlc4rZ8gQaeDAyx5duHChwn9WOKe+/XkeEBCgNm3aOGzC79mzR2vWrFGZQc0vT09PjR8/Xp06dSo3VlpaqhMnTlR6jQTqhvr2OUc917+f3Dt1VNnW7Sr7+oDk4N+zV+NaX18NDGyu7VnnVVHlCaFhcnfiCpnSrGyd+vdcnUpYLLeBA+Taq4csP/8yHVAH8Oc5GgM+52gM+JwDdQeNeAAAADRYFR0ZL/14PP3PWa1WrV69utxzV1dXRUdHV1iroh3xBQUFDp87WkP6sdnv5+dX4Tr/FR4eXv4O+eruhn/22ct+abfblZKSUr1aqLcsFovCw8MVHBxcbqykpEQrV67UN998Y9h6ISEhio+Pd/hlmIsXL+rkyZP1+hvvAGqWS7MAucSMkevAG2Xdsl22bw4a1pAP8/LWr9q116SwcCWlp2nbhfP66bkczdzddXMVdsM7dDFP1lVrZN2+U26DBsi1Rzca8gAAAEADRiMeAAAADVZFR9NLjhvxO3bsUFZWVrnn/fr1U4sWLSqs5e3t7fC5o9283377rU6ePFnuucViuWKz/6datvxZA+Cbb6SlS6s09zKDBklDh172KCsri6PAGxl3d3e1a9fO4RdXMjMztWjRIp0/f96w9Xr37q3Ro0fLzcFdz+np6Tpz5oxhawFo2FwCA+UxYZxsA/vLumWbbAcPGVY7zMtbD7Ztr0mhrbTkbJq2XDivMrtdMSFh8nBiN7xDubmyrlylsm075Dp4oFy7d5XlamsCAAAAqHNoxAMAAKDBcqYRb7fbtXLlSofvjh079orrVLQj3lEjfs2aNQ7f7du3r0JCQq64jiSFhYWV3w3//PPV2wnoYDf86dOnna+DesvPz09t27Z12BQ/cOCAVq5cqdLSUkPWcnd315gxY9SjR49yY1arVSdPnnR4LQQAVMaleZA8YsfLNqi/rJu3yXbYuCv7Qry8dF+baxQXGq5V585qeHV3wztgz8mRdflKlW3bLrfBg+TStTMNeQAAAKABoRHfAHXq1Enu7u5mxwAMYbVay91p07lzZ4c/LAbqKz7naAzM/Jx7enqquLi43PPg4GB17979f7/etGmTUlNTy703YMAAjRs37opreHh4OHzu4+Nz2RopKSnau3evw3cfeeSRy96tSLn/zw4flhITK51XTv/+0vDhlz2y2+3q2rWr87Ugqf79ee7i4iIXF5dy98H/94qGffv2GbZW8+bNNXnyZIcnS9hsNtntdrVp08aw9VBz6tvnHI3QsGEqPHVaaYsWK3v3F4aVbenppTsj2xhW76fsWdkqXbpcXl/sUfjkSQq8sZ8srjTkUbP48xyNAZ9zNAZ8ztEYXLp0SceOHTM7RrXwO7EBcnNzoxGPBo3POBoDPudoDGrrc+7v76+MjIxyz4uLiy9b//3333c4f8aMGZXmbNasmcPneXl5l82dP3++w2Pfr7vuOvXp0+eKa1TohRek6hwl/8wz5R79tzEL49S3P8+zsrKUkJCgs2fPGlazW7duGjt2bIVfWOFzV//Vt885Gj7/9tfI/6knlX/ihFLmL1LWF1+aHalKis6c0fevvaEziUmKvHWKgm7sxw551Cr+PEdjwOccjQGfczQ0Rp3UZwYa8QAAAGjQKmrE//TY+H379jnc/dulSxfdeOONla7h5+fn8Hlubu5l6yVWsHN9+vTpla7h0NGj0sKFzs+7/npp1KjqrYkG69tvv9WyZcscniBRHa6urho1apSuu+46Q+oBgLN827VTp6d/q7xjx5WyYJGy9zg+laauuZSSqqN//Yd8Wkcq8tapCux3fbnTSwAAAADUfTTiAQAA/o+9+46O86zTPn7NqPdmq0vuvdtx4u64d1uyJLcsZEMSlqUENvSQAmkEQtsEeFkIS8nipm6595I4LontuPeiLtmyutVH7x9Z9gBJkEa+7Ufl+/mLM+Pf9VyHwzmM5jf386BT+7QleXV19f/959/97nef+G+eeOKJVl3D19dXNptNzf/wnPa/XcQnJyf/3TX/qk+fPpo2bVqrrvMxBk/Do+tqamrSzp07dejQIWOZQUFBSkpKUkREhLFMAGgrv359Nfi5Z1R54aKy16xT2fETVldqlTs3snX+tR/Lp3cvxa5crqCxD7CQBwAAADoQFvEAAADo1AICAj7x9b+eiL9y5Yr27NnzsfdjYmI0Z86cVl3DbrfL29v7Y4v2iooKSR8tOt9+++1PnP3c5z7Xti/VL1+W1qxxfm70aGnhQufn0CmVl5crJSVFubm5xjIHDBiguLg4eXp6GssEABP8BvTXkO8/p4pz55W9eq3KT56yulKrVF+9pnOvvCbfvn0Uu2qFAkePYiEPAAAAdAAs4gEAANCpfdoi/q9L87feeutjJ9kl6bHHHpOLi0urr+Pn5/exRXxZWZkkaefOncrLy/vYTPfu3bV48eJWX+PvvPKK1NTk/Byn4fG/Ll++rLS0NNXU1BjJs9vtmjlzZqse5wAAVvIfNFBDX/q+ys+cUfbqdao4fcbqSq1SdfmKzr74ivwG9FfMyuUKHDmChTwAAADQjrGIBwAAQKf2abemr6qqUlFRkbKysj72XnBwsBISEpy6jp+fnwoLC//utb/emv6Pf/zjJ8589rOflbu7u1PXkSRduyb9z/84PzdihBQX5/wcOpXm5mbt3btX+/fvN5bp5+enxMRExcbGGssEgHstYMgQDX35Byo/dVrZq9eq8tx5qyu1SuWFizr7/ZfkN2jgRyfkhw+zuhIAAACAT8AiHgAAAJ3aPzsR/8c//lENDQ0fe+9f/uVfnL6ttp+f38deq6+v19GjR3Xs2LGPveft7a0VK1Y4dY3/8+qrUmOj83Ochu/yqqqqlJaWpmvXrhnL7N27t5YuXSofHx9jmQBwv9hsNgUOH6aAYUNV/uFJ3fjLGlVdvGR1rVapPHdeZ577vvyHDlHsquUKGDLE6koAAAAA/gaLeAAAAHRqn7aILygo0Hvvvfex1729vfXII484fZ1PWsRL0htvvPGJry9btuxTT+v/UzduSH/6k/NzQ4dKTp7yR+dy48YNpaSkqKqqykiezWbT1KlTNWXKFG6NDKDDs9lsChw5QgEjhuvWkaO69Mc/qzm/wOparVJx+oxOP/O8AoYPU+yqFfIfNNDqSgAAAADEIh4AAACd3Kct4s+c+eTnwSYkJCgwMNDp63zaIv7IkSMfe83V1VWPPvqo09eQJP3wh9InnOJv0bPPtu166BTeeecd7d69W83NzUbyvL29lZCQoN69exvJA4D2wmazKXD0KLm72OW4eFmN+/arubDI6lqtUn7ylE6dPKXAUSMVu3K5/Ab0t7oSAAAA0KWxiAcAAECn5sypc1dXVz322GNtuo6vr2+r/+28efMUGRnp/EVyc6U//MH5uUGDpKQk5+fQ4dXU1CgjI0MXL140lhkbG6vExMRP/fEJAHQGNptNLgP6yd6/rxwXLsr18FHV3Mi2ularlB0/obLjJxQ0ZrRiVi6XX7++VlcCAAAAuiQW8QAAAOjUPu1E/CeZO3euoqKi2nQdZ5aSjz/+eJuuoddek+rrnZ/73vcku71t10SHlZeXp+TkZJWXlxvLnDBhgmbMmCE7/3sC0EXYbDa5DBygoYkJqnj/mLLXrFVNTq7VtVql9INjKv3gmIIfHKuYlcvl27uX1ZUAAACALoVFPAAAADo1ZxbxTz75ZJuv09qT9xMnTtSgQYOcv0B+vvTWW87P9e8vrVjh/Bw6tCNHjmj79u1qamoykufp6am4uDgNGDDASB4AdDQ2u13dJo5XyLgHdevd95Szdp1q8vKtrtUqt48c1e0jRxUy/iHFrFgun549rK4EAAAAdAks4gEAANCptXYRP2nSJA0cOLDN12ntrenbfBr+xz+W6uqcn3vmGcnFpW3XRIdTV1enrKwsnTlzxlhmZGSkEhMTFRQUZCwTADoqm4uLuk+ZpG4Tx+vmgXeUs3a9agsKra7VKiXvHVbJe4cVMnGCYlcsk3dsjNWVAAAAgE6NRTwAAAA6tdaeVH/iiSfu6jqtuTX9wIEDNXHiROfDi4qk3/7W+bk+faRHHnF+Dh1SUVGRkpOTVVJSYixz7Nixmj17tlxd+dMRAP6WzcVFoQ9PVffJk1S8d59y1iWrrqjY6lqtUvLuQZUcfE/dJk9SzPIkeUe37bE8AAAAAP45vk0BAABAp+bq6iofHx9VV1d/6r8ZMmSIxo8ff1fXac0ivs2n4V9/XaqpcX7umWckFqhdwvHjx7V582Y1NjYayXN3d9fChQs1bNgwI3kA0FnZXFwUNmO6uk+douLde5W7Pll1N29ZXatlzc26tf+Abr3zrrpPmayYFUnyioiwuhUAAADQqXTFb+VuSqqX5C4pz+IuAAAAuA8CAgL+6SL+bk/DSy3fmj4yMlLz5893PvjmTen//T/n53r2lD77Wefn0KE0NDRo8+bNOnHihLHM0NBQJSUlqVu3bsYyAaCzs7u6Knz2TIVOm6qinbuVm5yqeoN3KLlnHA7d3LtPN/cfUOi0hxWzLEGe4eFWtwIAAAA6hS63iL9w4cIZSR5W9wAAAMD9s2fPnnt+jQceeEAXLlwwH/yTn0h37jg/993vchq+kyspKVFycrKKioqMZY4YMUILFiyQm5ubsUwA6Ersbm6KmDdHYTOnq2j7TuWmpKn+9m2ra7XM4VDxrt26uXefQmdMU3RSgjxDQ61uBQAAAHRofDMHAAAAtFclJdKvf+38XGys9K//arwO2o8zZ85ow4YNqq+vN5Ln6uqqefPmafTo0UbyAKCrs7u5KWLBPIXOnK6i7TuUm5KuhrIyq2u1qLmpSUXbd6p4916FzZqh6MQEeXQLsboWAAAA0CGxiAcAAADaq5/9TKqqcn7u29+W3N3N94HlmpqatH37dh05csRYZnBwsJKSkhTOrYgBwDgXDw9FLlqosNmzVLhlm/LS0tVQXmF1rRY1NzaqcMs2Fe3YpfA5sxWVEC+PkGCrawEAAAAdCot4AAAAoD0qLZV++Uvn56KipMcfN98HlisrK1NKSory8vKMZQ4aNEhLliyRhwdP7wKAe8nFw0NRcYsVPne2CjZvVV5ahhorK62u1aLmxkYVbNqsoh07FTZntqIT4uQeFGR1LQAAAKBDYBEPAAAAtEe/+IVU0YYTc9/+tsRStdO5ePGiMjIyVFNTYyTPbrdr9uzZeuihh4zkAQBax8XTU9FL4xQ+d44KNm1WfsYGNbbl7jf3maO+XgVZG1W0bbvC589V9NI4uQUEWF0LAAAAaNdYxAMAAADtTXm59MYbzs9FREhPPmm+DyzjcDi0e/duvfvuu8Yy/f39lZSUpOjoaGOZAADnuHp7KSYpQRHz5yo/a5PyN2SpqfqO1bVa5KivV37GBhVu3a6IBfMUFbdEbv5+VtcCAAAA2iUW8QAAAEB788YbUlmZ83Pf/Kbk6Wm+DyxRWVmp1NRU3bhxw1hm3759FR8fL29vb2OZAIC2c/XxUeyKZYpcOF95mVkqyNqkJkN3P7mXHLW1yktNV8GmLYpcvFBRSxbJ1dfX6loAAABAu8IiHgAAAGhPKiuln//c+bmwMOkLXzDfB5a4du2aUlNTVV1dbSTPZrNp2rRpmjx5spE8AIBZrr6+6vHISkUuWqj8zA3K37hZjtpaq2u1yFFbq9z1KSrYuFmRSxYpctECufr4WF0LAAAAaBdYxAMAAADtyZtvSqWlzs99/euSl5f5Prjv9u/fr71796q5udlInq+vrxISEtSzZ08jeQCAe8fN3089PvOIIhcvVF7GBhVs2iJHXZ3VtVrUdOeOctasU/6GjYqKW6yIhfPlyt1XAAAA0MWxiAcAAADai6oq6Wc/c36uWzfpi1803wf31Z07d5Senq7Lly8by+zRo4cSExPly+2CAaBDcQsIUM9HP6PIJYuUl5ahwi3b5Kivt7pWi5qqq5X9lzXK35ClqLglilgwTy78UBAAAABdFIt4AAAAoL349a+lkhLn555+WuI2sB1aTk6OUlJSVFFRYSxz0qRJmjZtmux2u7FMAMD95R4YqF6f+1dFxS1RbmqaCrftUHNDg9W1WtRYWaUbb/9FeZlZil4ap/D5c+Xi4WF1LQAAAOC+YhEPAAAAtAd37kg//anzc8HB0pe/bL4P7ptDhw5px44dcjgcRvK8vLwUHx+vfv36GckDAFjPPThIvZ98XFHxccpNSVPRjp1qbmy0ulaLGisqdP2Pf1ZexgZFJ8QrbM4sFvIAAADoMljEAwAAAO3Bb34jFRc7P/cf/yH5+Znvg3uutrZWGzZs0Llz54xlRkVFKSkpSQEBAcYyAQDth0e3EPX5wpOKTohTTnKqinfuVnNTk9W1WtRQVqZrv/+DctMyFJ24VOGzZ8ru7m51LQAAAOCeYhEPAAAAWK22Vnr9defnAgOlp54y3wdGuLu7y9X1k//kKiws1Pr161VaWmrseg899JBmzZolFxcXY5kAgPbJo3t39f3iFxSdEK+c9akq3r1HMnRnlXupobRU1373e+WlpSs6KUFhM2fI7uZmdS0AAADgnmARDwAAAFjtt7+VCgudn/vqVyV/f/N9cNcCAgLUs2dP2Wy2j7137NgxbdmyRY2Gbins4eGhxYsXa/DgwUbyAAAdh2dYmPp95YuKTlyq3PXJKt67v0Ms5OtLbuvqb36nvNR0RS9LVOj0abJ/yo/XAAAAgI6KT7gAAACAlerqpB/9yPk5f3/pa18z3wd3LSoqSuHh4R97vb6+Xps2bdLJkyeNXSssLExJSUkKCQkxlgkA6Hi8IsLV76tfUXRignLWJevm/gNSc7PVtVpUd/OWrvzqN8pNSVPMsiSFTpsqG3d2AQAAQCfBIh4AAACw0ltvSfn5zs995Ssf3Zoe7cqAAQPk6+v7sddv3ryp5ORk3bx509i1Ro0apXnz5smNW/oCAP6XV1Sk+j/9VUUnJShn7Xrdevdgx1jIFxXr8pu/Um5KqmKWJ6n7lMks5AEAANDhsYgHAAAArFJf37bT8L6+0tNPm++Du+Lq6vqJS/FTp04pKytLDQ0NRq7j5uam+fPna+TIkUbyAACdj3dMtAZ882lFL0tUztr1Kjn4ntWVWqW2oFCXfvGmcpNTFbNimbpNnMBCHgAAAB0Wi3gAAADAKn/4g5ST4/zcl74kBQeb74O78o/Pg29sbNTWrVv1wQcfGLtGSEiIli1bptDQUGOZAIDOy6dHrAZ++xuqvnZd2WvW6fbhI1ZXapWavHxd/OkvlLMuRbErlylkwnjZ7HarawEAAABOYREPAAAAWKGhQQgFRWwAACAASURBVPrhD52f8/GRvvEN831gVGlpqZKTk1VQUGAsc+jQoVq0aJHc3d2NZQIAugafXj016Jlvq+ryFWWvXafSo+Z+JHYv1eTm6sLrP5N3j1jFrlyu4IceZCEPAACADoNFPAAAAGCFP/9ZunHD+bl//3epWzfzfWDM+fPnlZmZqdraWiN5Li4umjNnjsaOHWskDwDQdfn27aPBzz6jyouXlL1mncqOHbe6UqvcuZGt86+9Lp9evRSzcrmCH3zgY3eiAQAAANobFvEAAADA/dbYKL36qvNzXl7SN79pvg+McDgc2rlzp957z9xzeAMDA5WUlKTIyEhjmQAA+PXvpyEvPKuKc+eVvWadyj88aXWlVqm+dk3nX31NPn36KHbVcgWNGc1CHgAAAO0Wi3gAAADgfvuf/5GuXnV+7t/+TeLZ4O1SRUWFUlJSlJOTYyyzf//+iouLk5eXl7FMAAD+lv+ggRr64gsqP3NW2avXquL0GasrtUr1lSs699Kr8u3XT7Grlitw1EgW8gAAAGh3WMQDAAAA91NTU9tOw3t6St/6lvk+uGtXrlxRWlqa7ty5YyTPbrdr+vTpmjhxopE8AABaEjBksIa98qLKTp5Szpp1qjh7zupKrVJ16ZLO/uBl+Q0coNhVKxQwfBgLeQAAALQbLOIBAACA+2nNGunSJefnnnhCiogw3wdt1tzcrH379mn//v1qbm42kunn56eEhAT16NHDSB4AAM4IHD5MAcOGqvzDk8pevU6VFy5YXalVKs9f0JnnfyD/IYM/WsgPHWJ1JQAAAIBFPAAAAHDfOBzSK684P+fhIX3nO+b7oM2qq6uVlpamq215xMCn6NWrlxISEuTj42MsEwAAZ9lsNgWOHKGAEcNVdvyEslevVdWly1bXapWKM2d1+nvPK2D4MMWuXC7/wYOsrgQAAIAujEU8AAAAcL+sXy+dP+/83Oc+J0VFme+DNsnOzlZKSooqKyuN5NlsNk2ZMkVTp07ldroAgHbDZrMpaPQoBY4aqdL3P1D2mnWqvmLuB2j3UvnJUzp18pQCR45Q7KoV8hvQ3+pKAAAA6IJYxAMAAAD3y8svOz/j7i5997vmu6BNDh48qF27dsnhcBjJ8/b2Vnx8vPr27WskDwAA02w2m4LHPqCgB8bo9pGjyl69Vneu37C6VquUnfhQZSc+VNCYUYpZuUJ+/fj/WwAAANw/LOIBAACA+yElRTpzxvm5Rx+VYmLM94FTamtrlZGRoQsGn5UbExOjxMRE+fv7G8sEAOBesdlsCnnoQQWPfUAlhw4rZ8063cnOsbpWq5R+cFylHxxX0NgHFLtquXx797a6EgAAALoAFvEAAADA/fDSS87PuLpKzzxjvguckp+fr+TkZJWVlRnLHD9+vGbOnCm73W4sEwCA+8Fmt6vbhPEKGfeQbr37nnLWrlNNbp7VtVql9Oj7Kj36voLHPaTYlcvk07On1ZUAAADQibGIBwAAAO619HTp5Enn5z7zGYkviC119OhRbdu2TU1NTUbyPDw8FBcXp4EDBxrJAwDAKja7Xd0nT1S3CeN088C7ylm3XrX5BVbXapXbhw7r9qHDCpk4XrErlsk7NtbqSgAAAOiEWMQDAAAA91pbTsO7uEjf+575LmiV+vp6ZWVl6fTp08YyIyIilJSUpKCgIGOZAABYzebiotCHp6j75Im6uW+/ctYlq7awyOparVLy7nsqOXhI3SZNUMyKZfKOjra6EgAAADoRFvEAAADAvZSVJR0/7vzcqlVSnz7m+6BFxcXFWr9+vUpKSoxljhkzRnPnzpWrK3+CAQA6J5uLi0KnT1O3KZN1c+8+5axLUV1xsdW1WtbcrFsH3tWtd99T9ymTFLM8SV6RkVa3AgAAQCfAt0AAAADAvdTW0/DPPmu+C1r04YcfatOmTWpoaDCS5+bmpoULF2r48OFG8gAAaO/srq4KmzlD3adOUfHuPcpZn6r6W7esrtUyh0M39+7Xzf3vKPThqYpZnijP8HCrWwEAAKADYxEPAAAA3CtbtkhHjzo/t3y51L+/+T74VI2Njdq8ebOOt+XuBZ+iW7duWrZsmbp3724sEwCAjsLu5qbwObMVOn2ainbsUm5yqupv37a6VsscDhXv3qOb+/YrdPo0RSclyDMs1OpWAAAA6IBYxAMAAAD3yosvOj9jt3Ma/j67ffu21q9fr6Iic8+zHT58uBYsWCB3d3djmQAAdER2NzdFzJ+rsJnTVbhth3JT09RQWmZ1rRY1NzWpaMdOFe/Zq7CZ0xWdmCCP7t2srgUAAIAOhEU8AAAAcC/s2CEdOuT8XGKiNGiQ+T74RGfPntWGDRtUV1dnJM/FxUXz5s3TmDFjjOQBANBZ2N3dFblogcJmz1Th1m3KS81QQ3m51bVa1NzYqMKt21W0c7fCZs9UdOJSeYSEWF0LAAAAHQCLeAAAAOBe+MEPnJ+x2aTnnjPfBR/T1NSkHTt26PDhw8Yyg4KClJSUpIiICGOZAAB0Ni4eHopasljhc2arYPNW5aVlqLGy0upaLWpubFTh5q0q2rFL4XNnKzohXu5BQVbXAgAAQDvGIh4AAAAwbfdu6d13nZ+Lj5eGDjXfB3+nvLxcycnJysvLM5Y5cOBALVmyRJ6ensYyAQDozFw8PRW9NE7hc+eocPMW5aVnqrGqyupaLWpuaFBB1iYVbduh8PlzFRUfJ/fAAKtrAQAAoB1iEQ8AAACY1pZnw9ts0vPPm++Cv3Pp0iWlp6erpqbGSJ7dbtesWbM0bty4j73X1NSk5uZmubryZxcAAJ/G1dtL0YlLFT5/rgqyNikvc4Oaqu9YXatFjvp65WdsUOGWbYpYME9R8Uvk5u9vdS0AAAC0I3wjBAAAAJi0f7+0b5/zc4sWSSNGmO8DSZLD4dDevXt14MABY5n+/v5KTExUTEzMx96rqanR1atX1b9/f2PXAwCgM3P19lbM8iRFLJiv/A1Zyt+wUU2Gfjh3Lznq6pSXlqGCzVsVuWiBIpcskpufn9W1AAAA0A6wiAcAAABMastpeEl64QWzPfB/qqqqlJqaquvXrxvL7NOnj5YuXSpvb++PvVdSUqLs7Gw5HA5j1wMAoKtw9fVR7KoVili0QPmZWcrP2iRHba3VtVrkqK1VbnKqCjZt+Wghv3iRXH19rK4FAAAAC7GIBwAAAEw5eFDatcv5uQULpNGjzfeBrl+/rtTUVFUZeuaszWbTww8/rMmTJ8tms/3de83NzcrOztatW7eMXAsAgK7Mzc9PPf5llSIXL1ReeqYKNm2Ro67O6lotarpzRznrkpW/cbOilixSxKIFcv2EH+4BAACg82MRDwAAAJjS1tPwPBv+njhw4ID27Nmj5uZmI3k+Pj5KSEhQr169PvH9xsZGlvAAABjm5u+vno9+RpFLFisvPUOFm7fKUV9vda0WNVVXK3v1WuVnbVRU3BKFz58nV28vq2sBAADgPmIRDwAAAJhw+LC0bZvzc3PmSA8+aL5PF1ZTU6P09HRdunTJWGaPHj2UkJAgP575CgCAJdwDA9TrsUcVtWSxctPSVbh1u5obGqyu1aLGyirdePsvysvMUlT8EkXMnysXT0+rawEAAOA+YBEPAAAAmMCz4duF3NxcpaSkqLy83FjmxIkTNX36dNntdmOZAACgbdyDg9T7ic8pKn6JclPSVLR9p5obG62u1aLGigrd+NPbys/YoKiEOIXPnSMXDw+rawEAAOAeYhEPAAAA3K0PPpA2b3Z+bsYMafx48326qMOHD2v79u1yOBxG8jw9PRUXF6cBAwYYyQMAAOZ4hISoz789qeil8cpNSVXRzt0dYiHfUF6u6//9J+WlZyo6YanC58yS3d3d6loAAAC4B1jEAwAAAHeL0/CWqqur04YNG3T27FljmZGRkUpKSlJgYKCxTAAAYJ5H927q8+//pqil8cpNTlXRrt2SoR/l3UsNpWW69tZ/Ky89Q9GJCQqbNUN2NzerawEAAMAgFvEAAADA3ThxQtqwwfm5hx+WJk82XqerKSwsVHJysm7fvm0sc+zYsZozZ45cXFyMZQIAgHvLMyxUfb/874pKiFfu+hQV793XIRby9SW3dfW/fqfc1HTFLEtQ6PRpLOQBAAA6CR5yCAAAANyNl15q29zzz5vt0QUdP35cv//9740t4d3d3ZWQkKD58+ezhAcAoIPyighXv69+WaN/+Z/q/vAUyd4xvv6sv3VLV379Xzr2xadUtHOXHB3gNvsAAAD45zrGJ1EAAACgPTp1SkpPd35u8mRp2jTzfbqIhoYGZWRkaMOGDWo09CV1aGioPv/5z2vo0KFG8gAAgLW8oiLV/z++qlFv/lzdpkySbDarK7VKXXGxLr/5ax3/0ldVvHuvmpuarK4EAACANmIRDwAAALTVSy9Jzc3Ozz33nPkuXcStW7f01ltv6cMPPzSWOXLkSD3xxBMKCQkxlgkAANoH7+hoDfj6f2jUGz9TyMTxVtdptdrCQl36zzd17MtfVfHe/SzkAQAAOiCeEQ8AAAC0xdmzUmqq83Pjx0uzZpnv0wWcPn1aWVlZqq+vN5Ln6uqq+fPna9SoUUbyAABA++UdG6uB3/qGqq9fV/aa9bp96LDVlVqlNr9Al37+n8pNTlHMiuXqNnG8bB3kdvsAAABdHYt4AAAAoC1efllyOJyf4zS805qamrRt2zYdPXrUWGZwcLCWLVumsLAwY5kAAKD98+nZU4O++y1VXbmq7DXrVHr0fasrtUpNbp4u/uRnyk2OVcyKZQoZ9xALeQAAgHaORTwAAADgrAsXpHXrnJ8bO1aaN898n06srKxMycnJys/PN5Y5ePBgLV68WB4eHsYyAQBAx+Lbp7cGP/tdVV66rJw1a1X6wXGrK7XKnRvZuvCjn8inV0/FrFyu4AfHymazWV0LAAAAn4BFPAAAAOCsV15p22n4558336UTu3DhgjIyMlRbW2skz8XFRbNnz9aDDz5oJA8AAHR8fv36avDzz6rywkVlr16rshMfWl2pVaqvXdf5V38knz69FbtyuYIeGMNCHgAAoJ1hEQ8AAAA448oVafVq5+dGj5YWLjTfpxNyOBzatWuXDh48aCwzICBASUlJioqKMpYJAAA6D78B/TXkB8+r4uw5Za9Zp/KTp6yu1CrVV67q3Ms/lG+/vopdtUKBo0aykAcAAGgnWMQDAAAAznjlFampyfk5ng3fKpWVlUpJSVF2draxzH79+ik+Pl5eXl7GMgEAQOfkP3iQhr70fZWfOq3s1WtVcfac1ZVaperSZZ39wcvyGzBAsauWK2DEcBbyAAAAFmMRDwAAALTWtWvS2287PzdihBQXZ75PJ3P16lWlpaWpurraSJ7NZtP06dM1adIkI3kAAKDrCBg2VENffUnlJ08pe/VaVZ6/YHWlVqm8cEFnXnhR/oMHKXbVCgUMG2p1JQAAgC6LRTwAAADQWq++KjU2Oj/37LPmu3Qizc3N2r9/v/bt26fm5mYjmb6+vkpISFDPnj2N5AEAgK7HZrMpcMRwBQwfprLjJ5S9ep2qLl2yularVJw9p9PPvqCAYUMVs3K5AoYMtroSAABAl8MiHgAAAGiN7GzpT39yfm7IECkx0XyfTuLOnTtKS0vTlStXjGX27NlTCQkJ8vX1NZYJAAC6LpvNpqDRoxQ4aqRKPzim7NXrVG3ws8u9VH7qtMpPnVbAiOGKXbVC/gMHWF0JAACgy2ARDwAAALTGD38oNTQ4P8dp+E+Vk5OjlJQUVVRUGMucPHmyHn74YdntdmOZAAAA0kcL+eAHxihozGjdPvK+ctasVfW161bXapXyD0/q1IcnFTh6lGJXLpdnr55WVwIAAOj0WMQDAAAALcnNlf77v52fGzhQWrbMfJ9O4L333tPOnTvlcDiM5Hl5eSk+Pl79+vUzkgcAAPBpbDabQh4aq+CxY3T78BFlr1mnOzeyra7VKmXHjqvs2HEFjhktx+iRskeEW10JAACg02IRDwAAALTkRz+S6uudn3v2WYmT2X+ntrZWmZmZOn/+vLHM6OhoJSYmKiAgwFgmAABAS2x2u0LGj1PwQw+q5OB7yl6zXjW5uVbXapWyD45JHxyTfUB/uU6dLHt4mNWVAAAAOh0W8QAAAMA/U1AgvfWW83P9+0srVpjv04EVFBQoOTlZpaWlxjLHjRunmTNnysXFxVgmAACAM2x2u7pNmqiQ8eN0692Dyl6zXrX5+VbXahXHhYuqv3BR9kEDdScwSAF9eltdCQAAoNNgEQ8AAAD8Mz/+sVRb6/zcM89ILIf/z/vvv6+tW7eqqanJSJ6Hh4cWL16swYMHG8kDAAC4WzYXF3WfMlndJk7Qzf0HlLM2WbWFhVbXahXHufM6/fVvqdvECYpZsUzeMdFWVwIAAOjwWMQDAAAAn6aoSPqv/3J+rk8f6ZFHzPfpgOrr67Vx40adOnXKWGZ4eLiSkpIUHBxsLBMAAMAUm4uLQqc9rO5TJqt4zz7lrEtWXXGx1bVa1tysW++8q1vvHlT3KZMVszxJXlGRVrcCAADosFjEAwAAAJ/m9delmhrn5777XcmVj9o3b97U+vXrdevWLWOZo0eP1rx58+TKf78AAKCds7m4KGzmdHWfOlnFe/Yqd32K6m6a+1x0zzQ36+a+/bp54B2FPjxF0cuS5BURbnUrAACADodvrwAAAIBPcvOm9JvfOD/Xs6f02c8ar9PRnDx5Uhs3blRDQ4ORPDc3Ny1YsEAjRowwkgcAAHC/2N3cFD57lkKnPayinbuUm5yq+pLbVtdqmcOh4t17Vbx3v0KnT1PMskR5hoVa3QoAAKDDYBEPAAAAfJKf/lSqrnZ+7jvfkdzczPfpIBobG7V161Z98MEHxjK7deumpKQkhYbyxS8AAOi47G5uipg3V2Ezpqtw+07lpqSpobTU6lotczhUvHOXbu7Zq9CZ0xWTlCCP7t2tbgUAANDusYgHAAAA/lFJifSrXzk/FxMjPfaY+T4dxO3bt5WcnKzCwkJjmUOHDtWiRYvk7u5uLBMAAMBKdnd3RS6cr7BZM1S0bcdHC/nycqtrtai5qUlF23aoeNcehc2aqeikpfIICbG6FgAAQLvFIh4AAAD4Rz//uVRV5fzcd74jddGF8blz55SZmam6ujojeS4uLpo7d64eeOABI3kAAADtjYuHhyIXL1TY7Jkq3LJNuWkZaqyosLpWi5obG1W4ZauKdu5S+JxZik5YKvfgIKtrAQAAtDss4gEAAIC/VVoqvfmm83NRUdLjj5vv0841NTVp586dOnTokLHMwMBAJSUlKTIy0lgmAABAe+Xi6amo+CUKnztbBZu2KC8jU42VbfhR6H3W3NCggo2bVbR9p8LnzVHU0ji5BwZaXQsAAKDdYBEPAAAA/K1f/EJqy0mkb31L8vAw36cdq6ioUEpKinJycoxlDhgwQHFxcfL09DSWCQAA0BG4eHkpOnGpwufPVcHGzcrL2KCm6mqra7XIUV+v/MwsFW7drogF8xQVv0Ru/v5W1wIAALAci3gAAADgr8rLpTfecH4uPFz6/OfN92nHLl++rPT0dN25c8dInt1u14wZMzRhwgQjeQAAAB2Vq7e3YpYlKmL+POVv3KT8zCw1GfrMdS856uqUl5ahgs1bFblwviKXLJabv5/VtQAAACzDIh4AAAD4qzfekMrKnJ/75jelLnKCu7m5WXv37tWBAwfU3NxsJNPPz0+JiYmKjY01kgcAANAZuPr6KHbFMkUunK+8zCzlb9goR22t1bVa5KitVW5Kmgo2bVHEogWKWrJIrr6+VtcCAAC471jEAwAAAJJUWfnRbemdFRoqfeEL5vu0Q1VVVUpLS9O1a9eMZfbu3VtLly6Vj4+PsUwAAIDOxNXXVz0eWanIRQuUl7FBBZu2dIiFfFNNjXLXp6hg02ZFLl6kyEUL5MpnPgAA0IWwiAcAAAAk6Ze/lG7fdn7uG9+QvL3N92lnbty4oZSUFFVVVRnJs9lsmjJliqZOnSqbzWYkEwAAoDNz8/dXz8/+iyIXL1JeeoYKN2+Vo77e6lotaqq+o5w161SQtUmRcYsVsWC+XL29rK4FAABwz7GIBwAAAKqrpZ/9zPm5bt2kL37RfJ925p133tHu3buN3Yre29tbS5cuVZ8+fYzkAQAAdCXugQHq9dijiopbrNzUDBVt294hFvKNVVXK/p/Vys/MUtTSOEXMnyuXLvJ4JwAA0DWxiAcAAAB+/Wvp1i3n555+WurEt9esqalRRkaGLl68aCwzNjZWCQkJ8vf3N5YJAADQFbkHBan3E48pKn6J8lLTVbhtu5obG62u1aLGykrd+NPbys/IVNTSeIXPmyMXDw+rawEAABjHIh4AAABd25070k9+4vxccLD05S+b79NO5OXlKSUlRWVlZcYyJ0yYoBkzZshutxvLBAAA6Oo8QoLV+/OPKyp+iXJT01S0Y1eHWMg3lFfo+h/+pLz0TEUnxits9iwW8gAAoFNhEQ8AAICu7Te/kYqLnZ/72tckPz/zfdqBI0eOaPv27WpqajKS5+npqSVLlmjgwIFG8gAAAPBxHt27qc8XPq+opXHKTU5V8a49ajb0ee5eaigr07W3/qC8tExFJy5V2OyZsru5WV0LAADgrrGIBwAAQNdVWyu9/rrzc4GB0lNPme9jsbq6OmVlZenMmTPGMiMiIpSUlKSgoCBjmQAAAPh0nqGh6vulf1d0Qrxy1qeqeM9eyeGwulaL6m/f1tXfvqXc1HRFJyUobOZ0FvIAAKBDYxEPAACAruu3v5UKC52fe+opKSDAfB8LFRUVKTk5WSUlJcYyH3jgAc2ZM0eurvzZAQAAcL95hoer31NfUnRivHLWpejm/gMdYyFfUqKrv/mt8tLSFZ2UqNDpD8vO50kAANAB8XBGAAAAdE11ddKPf+z8nL//R7el70ROnDiht956y9gS3t3dXUuXLtWCBQtYwgMAAFjMKzJS/f/jKY168xfqNmWyZLNZXalV6opv6sqv/p+Of+kpFe3a3SFusw8AAPC3WMQDAACga/r976W8POfnvvIVqZPcZr2hoUGZmZnKzMxUY2Ojkczu3bvrySef1LBhw4zkAQAAwAzv6CgN+PrXNOqNnyt4wjir67RabWGRLr/xKx370lMq3ruPhTwAAOgwOJ4CAACArqe+XnrtNefnfH2lp58238cCJSUlSk5OVlFRkbHMESNGaMGCBXLjWZ4AAADtlndsjPo+/TWdGLZTjfsOyHH+gtWVWqW2oFCXfv6GcpNTFbN8mbpNHC+bi4vVtQAAAD4Vi3gAAAB0PX/8o5ST4/zcl74kBQcbr3O/nTlzRhs2bFB9fb2RPFdXV82bN0+jR482kgcAAIB7zx4WKvdlCXIUFH60kL94yepKrVKTm6eLP/25cpNTFLNiuULGPySbnRu/AgCA9odFPAAAALqWhgbp1Vedn/Pxkb7+dfN97qOmpiZt375dR44cMZYZHByspKQkhYeHG8sEAADA/WOPCJf7iiT19vZRQUqaSt//wOpKrXInO0cXfvwTeffsodgVyxU87kHZbDarawEAAPwfFvEAAADoWv78Z+nGDefnvvAFqXt3833uk7KyMqWkpCgvL89Y5qBBg7RkyRJ5eHgYywQAAIA1fPv20eDnnlHlhYvKXrNOZcdPWF2pVe5cv6Hzr/1YPr17KXblcgWNfYCFPAAAaBdYxAMAAKDraGxs22l4Ly/pm9803+c+uXjxojIyMlRTU2Mkz263a9asWRo3bpyRPAAAALQffgP6a8j3n1PFufPKXr1W5SdPWV2pVaqvXtO5V16Tb98+il21QoGjR7GQBwAAlmIRDwAAgK7jL3+Rrl51fu7zn5fCwsz3ucccDof27Nmjd955x1imv7+/kpKSFB0dbSwTAAAA7Y//oIEa+tL3VX76jLJXr1XFmbNWV2qVqstXdPbFV+Q3oL9iV61QwIjhLOQBAIAlWMQDAACga2hqattpeE9P6dvfNt/nHqusrFRqaqputOU2/J+ib9++io+Pl7e3t7FMAAAAtG8BQ4do6CsvqvzUaWWvXqvKc+etrtQqlRcu6swLL8p/8CDFrFyuwOHDrK4EAAC6GBbxAAAA6BrWrpUuXnR+7oknpIgI833uoWvXrik1NVXV1dVG8mw2m6ZNm6bJkycbyQMAAEDHYrPZFDh8mAKGDVXZiQ+VvXqtqi5esrpWq1ScPaczz31f/kOHKHbVcgUMGWJ1JQAA0EWwiAcAAEDn53BIL7/s/JyHh/Sd75jvcw8dOHBAe/bsUXNzs5E8Hx8fJSQkqFevXkbyAAAA0HHZbDYFjRqpwJEjVHbs+EcL+ctXrK7VKhWnz+j0M88rYPgwxa5aIf9BA62uBAAAOjkW8QAAAOj81q+XzrfhFpqPPSZFRZnvcw/cuXNH6enpunz5srHMHj16KCEhQX5+fsYyAQAA0PHZbDYFjRmtwNGjVHr0fWWvXqfqa9esrtUq5SdP6dTJUwocNVKxK5fLb0B/qysBAIBOikU8AAAAOr+2nIZ3c5O++13zXe6B3NxcJScnq6KiwljmpEmTNG3aNNntdmOZAAAA6FxsNpuCHxyroLEP6PahI8pes1Z3bmRbXatVyo6fUNnxEwp6YIxiVy6Xb98+VlcCAACdDIt4AAAAdG4pKdKZM87PPfqoFBtrvo9hhw4d0o4dO+RwOIzkeXl5KS4uTv37czIIAAAArWOz2RQy/iEFPzRWJe8dUvaadarJybW6VquUvv+BSt//QMEPjlXMyuXy7c0jmQAAgBks4gEAANC5teU0vKur9Mwz5rsYVFdXp8zMTJ07d85YZlRUlBITExUYGGgsEwAAAF2HzW5Xt4kTFDLuId169z3lrF2nmrx8q2u1yu0jR3X7yFGFjH9IMSuWy6dnD6srAQCADo5FPAAAADqvjAzpww+dn/vMZ6Re7fckTGFhodavX6/S0lJjmQ8++KBmCZkwLQAAIABJREFUz54tFxcXY5kAAADommwuLuo+ZZK6TRyvmwfeUc7a9aotKLS6VquUvHdYJe8dVsjECYpdsUzesTFWVwIAAB0Ui3gAAAB0Xi+95PyMi4v0ve+Z72LIsWPHtGXLFjU2NhrJc3d31+LFizVkyBAjeQAAAMBf2VxcFPrwVHWfPEnFe/cpZ12y6oqKra7VKiXvHlTJwffUbfIkxSxPknd0lNWVAABAB8MiHgAAAJ3Txo3SsWPOz61aJfXpY77PXWpoaNDGjRt18uRJY5lhYWFKSkpSSEiIsUwAAADgH9lcXBQ2Y7q6T52i4t17lbs+WXU3b1ldq2XNzbq1/4BuvfOuuk+dopjlifKKiLC6FQAA6CBYxAMAAKBzevFF52fsdunZZ813uUu3bt3S+vXrdfPmTWOZo0aN0rx58+Tm5mYsEwAAAPhn7K6uCp89U6HTpqpo527lJqeqvqTE6lotczh0c89e3dy3X6HTH1bMskR5hoVZ3QoAALRzLOIBAADQ+WzZIh096vzc8uVS//7m+9yFU6dOaePGjaqvrzeS5+rqqgULFmjkyJFG8gAAAABn2d3cFDFvjsJmTlfR9p3KSU5VQ2mp1bVa5nCoeOdu3dyzT6Ezpik6KUGeoaFWtwIAAO0Ui3gAAAB0Pp3gNHxjY6O2bdum999/31hmSEiIkpKSFMbpHQAAALQDdjc3RSyYp9CZ01W0fYdyU9LVUFZmda0WNTc1qWj7ThXv3quwWTMUnZggj2487gkAAPw9FvEAAADoXHbskA4dcn4uIUEaPNh8nzYoLS1VcnKyCgoKjGUOGTJEixYtkoeHh7FMAAAAwAQXDw9FLlqosNmzVLhlm/LS0tVQXmF1rRY1NzaqcMs2Fe3YpfA5sxWVEC+PkGCrawEAgHaCRTwAAAA6l7achrfZpOeeM9+lDc6fP6/MzEzV1tYayXNxcdGcOXM0duxYI3kAAADAveLi4aGouMUKnzNLBZu3Ki89Q42VVVbXalFzY6MKNm1W0Y6dCpszW9EJcXIPCrK6FgAAsBiLeAAAAHQee/ZI77zj/Fx8vDRsmPk+TnA4HNq1a5cOHjxoLDMwMFCJiYmKiooylgkAAADcay5eXopOiFf4vLkq2LRZ+Rkb1FjV/hfyjvp6FWRtVNG27QqfP1fRS+PkFhBgdS0AAGARFvEAAADoPNp6Gv755813cUJFRYVSU1OVnZ1tLLN///6Ki4uTl5eXsUwAAADgfnL19lJMUoIi5s9VftYm5W/IUlP1HatrtchRX6/8jA0q3LpdEQvmKSpuidz8/ayuBQAA7jMW8QAAAOgcDhyQ9u51fm7RImnECON1WuvKlStKS0vTnTtmvlC02WyaMWOGJk6caCQPAAAAsJqrj49iVyxT5ML5ysvMUkHWJjXV1Fhdq0WO2lrlpaarYNMWRS5eqKgli+Tq62t1LQAAcJ+wiAcAAEDn8IMftG3OotPwzc3N2rdvn/bv36/m5mYjmX5+fkpISFCPHj2M5AEAAADtiauvr3o8slKRixYqP3OD8jdulqO21upaLXLU1ip3fYoKNm5W5JJFily0QK4+PlbXAgAA9xiLeAAAAHR8Bw9Ku3Y5Pzd/vjRmjPk+LaiurlZaWpquXr1qLLNXr15KSEiQD1/oAQAAoJNz8/dTj888osjFC5WXsUEFm7bIUVdnda0WNd25o5w165S/YaOi4hYrYuECuXrzKCkAADorFvEAAADo+NrybHjJktPw2dnZSklJUWVlpbHMKVOm6OGHH5bNZjOWCQAAALR3bgEB6vnoZxS5ZJHy0jJUuGWbHPX1VtdqUVN1tbL/skb5G7IUFbdEEQvmycWLhTwAAJ0Ni3gAAAB0bEeOSNu2OT83e7b00EPm+/wTBw8e1K5du+RwOIzkeXt7Kz4+Xn379jWSBwAAAHRE7oGB6vW5f1VU3BLlpqapcNsONTc0WF2rRY2VVbrx9l+Ul5ml6KVxCp8/Vy4eHlbXAgAAhrCIBwAAQMfW1tPwL7xgtsc/UVtbq4yMDF24cMFYZkxMjBITE+Xv728sEwAAAOjI3IOD1PvJxxUVH6fclDQV7dip5sZGq2u1qLGiQtf/+GflZWxQdEK8wubMYiEPAEAnwCIeAAAAHdexY9KmTc7PzZghTZhgvs8nyM/PV3JyssrKyoxljhs3TjNnzpSLi4uxTAAAAKCz8OgWoj5feFLRCXHKSU5V8c7dam5qsrpWixrKynTt939QblqGYpKWKmzWTNnd3a2uBQAA2ohFPAAAADqudn4a/v3339fWrVvVZOhLPw8PDy1ZskSDBg0ykgcAAAB0Zh7du6vvF7+g6IR45axPVfHuPZKhx0TdSw2lpbr6298rNzVD0UlLFTZzhuxublbXAgAATmIRDwAAgI7pxAkpM9P5ualTpcmTzff5G/X19crKytLp06eNZYaHhyspKUnBwcHGMgEAAICuwDMsTP2+8kVFJ8Yrd32Kivfu7xAL+fqSEl39ze+Ul5qu6GWJCp0+TXZXvtIHAKCjsFtdAAAAAGiTl15q29zzz5vt8Q+Ki4v1u9/9zugSfsyYMXr88cdZwgMAAAB3wSsiQv2++hWN/uV/qvvUKZLNZnWlVqm7eUtXfvUbHfviV1TUQW6zDwAAWMQDAACgIzp9WkpPd35u0iRp+nTzff7Xhx9+qLfeeku3bt0ykufm5qb4+HgtXLhQrpx8AQAAAIzwiopU/6e/qlFv/FzdJk3sOAv5omJdfvNXOvalp1S8Zy8LeQAA2jkW8QAAAOh4XnpJam52fu6558x3kdTY2KisrCxlZGSooaHBSGa3bt305JNPavjw4UbyAAAAAPw979gYDfjm0xr5i58qZPw4q+u0Wm1BoS794k0d/8rXdHP/ARbyAAC0UxyrAQAAQMdy7pyUkuL83Lhx0uzZxuvcvn1bycnJKiwsNJY5bNgwLVy4UO7u7sYyAQAAAHwyn549NPA731TV1WvKWbtOtw8ftbpSq9Tk5eviT3+hnHUpil25TCETxstm5+wdAADtBYt4AAAAdCwvvyw5HM7P3YNnw587d06ZmZmqq6szkufi4qJ58+ZpzJgxRvIAAAAAtJ5v714a9Mx3VHX5irLXrlPp0Q+srtQqNbm5uvD6z+TdI1axK5cr+KEHWcgDANAOsIgHAABAx3HxorRunfNzY8dK8+YZq9HU1KQdO3bo8OHDxjKDgoKUlJSkiIgIY5kAAAAAnOfbt48GP/uMKi9eUvaadSo7dtzqSq1y50a2zr/2unx69VLMyuUKfvAB2Ww2q2sBANBlsYgHAABAx/HKK1Jbnn9o8Nnw5eXlSklJUW5urrHMgQMHasmSJfL09DSWCQAAAODu+PXvpyEvPKuKc+eVvWadyj88aXWlVqm+dk3nX31NPn36KHbVcgWNGc1CHgAAC7CIBwAAQMdw5Yr0l784PzdqlLRokZEKly5dUnp6umpqaozk2e12zZw5U+PHjzeSBwAAAMA8/0EDNfTFF1R+5qyyV69VxekzVldqleorV3TupVfl27+fYlcuV+CokSzkAQC4j1jEAwAAoGOw8DS8w+HQ3r17deDAgbvO+it/f38lJiYqJibGWCYAAACAeydgyGANe+VFlZ08pZw161Rx9pzVlVql6uIlnf3By/IbOECxq1YoYPgwFvIAANwHLOIBAADQ/l2/Lr39tvNzw4dL8fF3demqqiqlpqbq+vXrd5Xzt/r06aOlS5fK29vbWCYAAACA+yNw+DAFDBuq8g9PKnv1WlVeuGh1pVapPH9BZ57/gfyHDP5oIT90iNWVAADo1FjEAwAAoP179VWpsdH5uWefvavLXr9+XampqaqqqrqrnL+y2WyaOnWqpkyZwgkUAAAAoAOz2WwKHDlCASOGq+z4CWWvXquqS5etrtUqFWfO6vT3nlfA8GGKXbVC/oMGWl0JAIBOiUU8AAAA2rfsbOlPf3J+bsgQKSmpzZd95513tHv3bjU3N7c542/5+Pho6dKl6t27t5E8AAAAANaz2WwKGj1KgaNGqvT9D5S9eq2qr16zularlJ88pVMnTylw5AjFrlohvwH9ra4EAECnwiIeAAAA7dtrr+n/s3ff0VFXCRvHn5lJISGVFFoSkDb0FhAFKaIrCFYEQrHuKt26dl11dXVZu6I0ewMCggVFUBYRBaSELu6ItCS09EBC2mTm/UPfXUKRSSE3k3w/53hO5uZ37zx4hgHmyb0/FReXf14Fd8MXFBTok08+0a5duyo0/3Ti4uI0fPhwBQcHV9maAAAAAGoOi8WiBj17KLxHvLLWrVfy3EQd37ffdCyP5GzZqpwtWxUe302xo0cpuHUr05EAAKgVKOIBAABQcx04IL39dvnntW0rjRxZgac7oAULFig3N7f8z3kGffr00cCBA2W1WqtsTQAAAAA1k8ViUcQFvdTg/J7K/HGdUuYm6nhyiulYHslO2qzspM0K79lDcWMSFMRpXgAAVApFPAAAAGquqVOloqLyz3vkEamcxfe6dev09ddfy+Vylf/5TqNevXq65pprZLfbq2Q9AAAAAN7DYrUqsveFiriglzJWr1XKvEQVpB4wHcsj2Rs2KnvDRjW4oJfiRo9U/ebNTUcCAMArUcQDAACgZjp0SHrzzfLPa91aGj3a48uLior0+eefa+fOneV/rjNo0qSJRowYobCwsCpbEwAAAID3sVitiurbR5G9L1D696uVkjhfhQcPmY7lkawf1ynrx3WK6HOh4kaNVGBcnOlIAAB4FYp4AAAA1EzPPisVFpZ/3sMPSzabR5ceOXJE8+fPV1ZWVvmf5wx69uypQYMGyeZhBgAAAAC1n8VmU/SAforq20fp361SSuICFR4+YjqWRzJXr1Xmmh8V2bePYhNGKDAmxnQkAAC8AkU8AAAAap4jR6RZs8o/r0UL6frrPbp08+bNWrJkiZxOZ/mf5zT8/Px05ZVXqmPHjlWyHgAAAIDax2KzKXrgxYrs11fpK79TSuLHKkpLMx3r7NxuZaz6QRk/rFFUv4sUmzBCAU2amE4FAECNRhEPAACAmuf556WCgvLPe/hhyeeP/4pbUlKiJUuWaMuWLRUMd6ro6GiNGDFCkZGRVbYmAAAAgNrL6uOjhpdeoqj+/ZS24lulzF+o4owM07HOzuVS+spVSl/1g6IH9FdswnDVa9TIdCoAAGokingAAADULBkZ0owZ5Z/XvLl0441nWTpDCxYsUFoV7jjp0qWLhg4dKl9f3ypbEwAAAEDdYPX1VaNBlyl64MU68s2/lbpgoYqr8NZZ54zLpbQV3yr9u1WKHnixYkZep3rR0aZTAQBQo1DEAwAAoGZ54QUpP7/88x58UPqDMnzHjh1avHixiouLKxHuf3x8fDRkyBB169atStYDAAAAUHdZfX3VeMhgNbx0oA4v+0apCxepJDvHdKyzcpeW6sg3y5X27Uo1vHSgYoZfJ/8oTgoDAECiiAcAAEBNkpkpvfZa+efFxkq33HLab5WWlmrZsmXasGFDJcP9T4MGDTRy5Eg1bNiwytYEAAAAAKufn5pcOVQNL7tUh5cu04GFn6okN9d0rLNyO506vPRrHVm+Qo0G/UlNrxsm/4gGpmMBAGAURTwAAABqjpdekvLyyj/vgQckP79ThnNycrRgwQIdPHiwCsL9pn379rrqqqvk7+9fZWsCAAAAwIls/v5qevVVajToMh1aslQHFn0q57FjpmOdldvp1KEvv9Lhr5er0eDLFHPdtfILDzcdCwAAIyjiAQAAYISPz0l/Fc3JkaZNK/9CTZpIt956yvAvv/yiTz75RIWFhRVMWJbVatVll12mXr16Vcl6AAAAAHA2tnr1FDPsGjUaPEiHl3ylA598JmdFfni5mrlLSnRo8Zc6suwbNRoyWE2vvUZ+YaGmYwEAUK0o4gEAAFDtQkJCTh18+WXp6NHyL3b//dIJu9PdbrfWr1+vpUuXViJhWaGhoRo+fLhiYmKqbE0AAAAA8JRPYIBihg9ToyGDdWjxlzrw2ecqzT9uOtZZuYqLdfDTz3X4q2VqPPRyNb32avme7t+DAADUQlbTAQAAAFD3xMXFyWKx/G/g6FHplVfKv1CjRtK4cWWGcnJyqrSEb926tcaPH08JDwAAAMA4n8BAxSaMUI/ZMxWbMEK2gADTkTziKirSgUWfauNtE7X/wzkq8YJj9gEAqCyKeAAAAFSr4OBg+Z18P/dXX/3taPryuu8+6YQPntxutxYuXFjJhL+xWCy65JJLNGbMGAV4yYdbAAAAAOoGn6D6ihszSvFvzFDM8GGy1qtnOpJHXIWFSl2wUEnjJil5zjw58/JNRwIA4JyhiAcAAEC1OmU3fF6e9NJL5V8oOlqaMKHMUEZGhg4cOFDJhFJQUJBuvPFGXXTRRZVeCwAAAADOFd/gYDW7Yax6vDFDTYddI+sJt+2qyUqPH1dK4gJtHDdRKYkL5Dxe84/ZBwCgvLhHPAAAAKqEy+VSdnb2ab9XUlKi3NxchYWFyf/kD4Zee03Kyir/E/71r1Jg4H8fut1uLV68uPzrnKR58+a67rrrFBQUVOm1AAAAAKA6+IaEqPlNN6jJ1VfpwCef6vCSpXIVF5uOdVal+flKnjNPBxd/oabXXK3GQy/3muP2AQA4G4p4AAAAVIns7Gx17tz5D6/57rvvyu6Gz8+XXnih/E8WGSlNnlxmKCsrSykpKeVf6wR9+/bVgAEDZLVycBQAAAAA7+MXFqrzbrlJTa++SqmLPtHhpV/LXVJiOtZZOY/laf8HH+nAZ4vV9Nqr1XjIYNm85Lh9AADOhE8YAQAAUC169uypli1blh2cPl3KyCj/YnffLdWv/9+HbrdbX3zxRYWzBQQEaMyYMRo4cCAlPAAAAACv59cgXC1u/bPiZ72uRkMGy+LjHXvynEePav97Hyhp3CQd+GyxSouKTEcCAKDC+JQRAAAA1eK5554ruxu+oEB6/vnyLxQeLt1+e5mh7Oxs7du3r0K5YmJiNH78eLVu3bpC8wEAAACgpvKPiFDL8bcpfubrajT4Mq8p5Etyc7Xv7XeVNH6SDi7+0iuO2QcA4GQU8QAAADjnunXrplatWpUdnDlTSksr/2J33SUFB//3odvt1pIlSyqUq1evXrr55psVGhpaofkAAAAA4A38oyLVcuJ4dZ8+TQ3/dKnkJSeBlWTnaO+bbytpwmQdWrJULi84Zh8AgP/nHX/aAgAAwKudshu+sFB67rnyLxQWJt15Z5mhnJwc7d69u1zL+Pv7a8SIERo8eLBsNlv5cwAAAACAF6rXMFqtpkxU9+nTFD3wYq8p5Iszs7Rn1htKmjBFh5d9TSEPAPAK3vGnLAAAALxWp06d1LZt27KDb7whHTpU/sXuuEM6Yfe62+3WV199Va4lGjZsqNtuu03t27cv//MDAAAAQC0Q0LiRWt85Rd1fe0VRA/p5TyGfkaHd02dp06Q7dGT5v+VyOk1HAgDgjLzjhjCVZLfbbZK6S+osKVKSRVKGpG2SkhwOR6nBeAAAALXa888/X3Y3fFGR9K9/lX+hkJDfjqU/QW5urnbt2uXxEt27d9fll18uHy+5LyIAAAAAnEsBTZuozd13Kmb4dUpJnK+MH9ZIbrfpWGdVlJamX6dNV+qCRYpNGKGo/n1l4bQzAEANU6s/gbTb7cGS7pU0XlLDM1x2xG63z5b0vMPhOFpt4QAAAOqA9u3bq0OHDmUH33pLOnCg/ItNmSKFh5cZWrp0qUdTfX19NXToUHXp0qX8zwsAAAAAtVxgbIzs996j2JHDlTxvvjJXrzUdySOFhw9r1yvTlLLgY8UmjFRU3z4U8gCAGsM7zpupALvd3kPSdkmP6cwlvH7/3t8kbbPb7fHVkQ0AAKCuOGU3fHGxNHVq+RcKCpLuuafM0NGjR+VwOM46NTIyUrfeeislPAAAAACcRWBcnNref6+6vvKCGlzQy3QcjxUePKRdL72izXfcrfTvV8vtcpmOBABA7dwR/3sJ/29JIScM/0fSIkl79dvR9C0kDZfU6vfvN5O0wm63D3Q4HEnVGBcAAKBWatOmjTp37lx28N13pZSU8i82aZIUEVFmaNmyZWed1rFjR1155ZXy8/Mr/3MCAAAAQB1Vv3lztXvofuXt3qPkuYnK3rDRdCSPFKQe0C/Pv6jUBXFqMuI6uQPqlf3hcAAAqlGtK+Ltdnu4fivc/7+EL5B0q6S5DofDfdK1j0i6UdJMSf6/z1lkt9u7OhyO7OpLDQAAUPu8+OKLZT/wcDqlf/6z/AsFBkr33ltm6NixY9q5c+cZp9hsNg0aNEg9e/Ys//MBAAAAACRJQS1bqP2jD+nYrl+VMneespM2m47kkeP7k/Xr8y/J0jBaPgP6ydqmNYU8AKDa1boiXtLTkmJ//7pY0iUOh+O0N7RxOBwuSe/a7fZ9kr7Rb/8/4n5fY9I5TwoAAFBLtWzZUl27di07+P770r595V9s4kQpKqrM0DfffHPGy8PCwjRixAg1adKk/M8FAAAAADhFcOtWav/Yozr6H4dS5iYqZ8tW05E84j6SppLEj2Vp3Eg+/fvK3amT6UgAgDqkVt0j3m63x0q67YShJ85Uwp/I4XCslHTizUrH2e32ZlUcDwAAoM44ZTd8aan0zDPlXyggQLrvvjJDeXl52r59+2kvt9vtGj9+PCU8AAAAAJwDIW3t6vD3x9Tpn/9QaGfvKbXdhw6rZN4C7XzoUWVv2iy32332SQAAVFJt2xF/i/73azog6blyzP2HpPGSoiTZ9NuR9U9VaToAAAAv4HK5lJ1d/rv0ZGVlSZKaNWum+Pj4st/86CNp9+7yhxk3TmrYsMzQ8uXLT7nMarXqkksuUe/evcv/HAAAAACAcglp304dn3pCudt3KHnOPB3d+bPpSB7J/3W3dv79Hwq22xU3JkGhXTpzZD0A4JypNUW83W63SLr5hKE3HQ6H09P5DoejyG63vyvp/7dc3SSKeAAAUAdlZ2erc+fOFZ5/2t3wTz9d/oXq1ZMeeKDMUH5+vrZuLXsEYnBwsIYPH664uLiKxAUAAAAAVFBop47q+MxTyt22Xclz5unYfxymI3nkmMOhnx5/UiHt2yluzCiFdupoOhIAoBaqTUfTt5d03gmPP6zAGh+d8HVLu93epnKRAAAA6pamTZuqV69eZQfnzZN++aX8i/3lL1LjxmWGVqxYUeZxixYtNH78eEp4AAAAADDEYrEorEtndZr6tNo//qiCWrc2HcljR3f+rB2PPq4djz6u3J92mo4DAKhlas2OeEn9Tvj6sMPh+LUCa2yXlCMp7PfHfSVV4FNjAACAuumU3fAuV8V2w/v5SQ8+WGbo+PHj2rRpk6TfPujp16+f+vfvzzGCAAAAAFADWCwWhXfvprBuXZWdtEnJcxKVX5FblBmQu32HcrfvUFjXLoodnaCQtnbTkQAAtUBtKuIvOuHrHyqygMPhcNnt9tWShp6w5luVDQYAAFAXNG7c+NR7tC9YIP1cgXsF3nKLFBNTZmjlypWSpMD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"text/plain": ["<Figure size 2400x1500 with 1 Axes>"]}, "metadata": {"needs_background": "light"}, "output_type": "display_data"}], "source": ["w = np.array([1, 2])\n", "x1 = np.array([4, 3])\n", "x2 = np.array([1, 2]) * 2\n", "plt.annotate('', xy=x1, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=x2, xytext=(0, 0), arrowprops=gray)\n", "plt.annotate('', xy=w, xytext=(0, 0), arrowprops=red)\n", "plt.plot(0, 0, 'kP', ms=10)\n", "plt.plot(w[0], w[1], 'ro', ms=10)\n", "plt.plot(x1[0], x1[1], 'ro', ms=10)\n", "plt.plot([-3, 7], [4, -1], 'r-', lw=5)\n", "plt.plot([2, 4], [4, 3], 'k:', lw=2)\n", "plt.plot([3, 4], [1, 3], 'k:', lw=2)\n", "plt.text(0.1, 0.9, \"$w$\")\n", "plt.text(4.2, 3.1, \"$x'$\")\n", "plt.text(1.5, 2.4, \"$x'^{\\Vert w}$\")\n", "plt.xticks(np.arange(-3, 15))\n", "plt.yticks(np.arange(-1, 5))\n", "plt.xlim(-3, 7)\n", "plt.ylim(-1, 5)\n", "plt.show()"]}], "metadata": {"celltoolbar": "Edit Metadata", "kernelspec": {"display_name": "Python 3", "language": "python", "name": "python3"}, "language_info": {"codemirror_mode": {"name": "ipython", "version": 3}, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.0"}, "pycharm": {"stem_cell": {"cell_type": "raw", "metadata": {"collapsed": false}, "source": []}}, "toc": {"base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false}}, "nbformat": 4, "nbformat_minor": 4}