Maths-
General
Easy
Question
Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑄 if 𝑚∠𝑃𝑂𝑅 = 42°.
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gIiJi6fL98mTSoXVcqVqgiiUtXiy4i6UFDdPP3XjFvk3/XHQoJ1pzbMAx7mU0cFXA7d+7k6aefZtasWTzyyCNMmzaNGjVqZNltxjpGYS2NNTExCAE6GalnWLNiNT5fFHFxd1E8OhpB8CkhDMXEUEBRBIw06t1ajcb1anPo8H42rNuEBqiKko8X68Lk9/Mv8Dj70Vklspqm4fF4WL58Ob169WLx4sU8+eSTTJgwgUqVKtmCFzdcE0ZAFAVMg/T0dPbt2UNEhI+q1aoAoBs6SuY83b5mhok3KppyFSsBcPzEcXRA0/L1bB5wo/f5AlVVs1h4wzCYM2cOgwYNYu/evYwcOZInnniCG264IYvQs/eyL6woikrYPpuYhsHZtFQ8HpUiRYogEI7oixlep1cVFFUBQwVVxev3AwpB3cA0wXOxmT55GFf0eRxLxIZh4PV6CQaDfPbZZwwZMoTjx48zefJk+vbta6/VWwODcwpQ2DFFUExA86J6VCIi/OiGTurZNAwJ59mLooRvzfC11hAwhFOnUwChSHQUPhVMa3DIx8p33fs8hmQm3FjJNpKZXms1vpg+fToDBw7E5/Px3nvv8de//tV+nDVnt7LtCtvS3IVRQFGQUJAiRYpwS80anE09w88/70RRwkufYoCuG5iYiGIiwIljx9hz4CCKN4pq1asB4ceImb+nTa7o8xjOQhnLymuaRiAQYPz48SQkJFC6dGl7eylxJOpYz3feuoSDb2KCoqr4fV6aNWuKaRp88eUMjv+ahN/rwTAFxARMVEVBUTWWrljJkqXLaNykGa1atyIooCgmpmn87mvmaa75eoHLBTFN87zlORGRpKQkGThwoAASGxsrS5YskVAoZK/Bh0KhHJ/nEiZomJIRCokRTBMJnZHDuzZL5w5tRdW88vhf+8mPW7c5Hm1IMCNZvvjfB9Lg9rpStvxN8ulXcyRVRNJ0QzKCATGN0PV6K7mCO6fPo0jmnPzIkSMMGjSIjz76iBYtWvDyyy8TGxtLKBSyH+tsfOlyPoqihKPzuoAe4sYqlXju+dEEjNFMf3c6s776kltvqU6JktEYps7h/QfY+/NuTqacpVadhhSNKk5IhyiPGq67y+eX2U3DzUNYgTjTNPF6vezatYthw4bx+eef06NHD6ZMmcJNN91EMBjE6/VmCdi5or8wJoSLZBQBUwdVBcXLsV9/5auvZrFs2TI2bVhPytlUvF4P9evV5c47m3EiKYlPPpnBr8dPcs/99/PQAw9yZ5M7iIoqdl6+g2SbXoljpcX5WOtx4thwxKqOvFa4os9jWGWvGzZsYNCgQaxatYpHH32UYcOGUaVKFbu4xg3SXRlOkQaDQVJTU+0BNzq6GH6/F13X2bBhHR988F/mzFlAIE1n3LhJ/PGP954XDRNHXMW5e5BzILbuW52JNU2zA7au6As5iYmJ9O/fn+3bt9OvXz8GDRpE6dKlgXPewLX8khRERARd1+2gqSXOsAgNFMWyxl5Sz6awd88BVq9aS4MGscTG1kPJIQTu3BRERNi3bx9JSUkUL16c6Oho/H6/Haj1+/228D0ezzXNlHRFn8f47LPPGDp0KIcOHWLUqFEMGDCAokWLEgqF7AYZIoLX673ep5qvsa6jU2znrG9Y9KqqYBgmquqxcx5CobCn5fVm9bSyu/cAH374IQMHDsTj8eDxePD5fERFRRETE4Pf76ddu3b07t2bEiVKXFPRu+biOuK0DIZh8PHHH5OQkEB6ejqvvfYajzzyCH6/33b5nbvTuFwZzg08xLE0apqCqmqImICKx6Oh65lLeapqDwY5HU+yLZ22b9+eKlWq8P3339uuvPX3+vXrU79+fYoWLXrN6yFc0V8nTNMkEAjg9/vJyMjgjTfeYNiwYZQvX57x48fzf//3f3bjSsuVL4zFMlcL57V0Wudzv7bm5Vb8xAQETQt3y3K2F88+lw8EAuzcuZN169aRnJxs/83r9RIIBGjatCmTJk3izjvvJBQKXfN9Blz3/jphfdDJycmMHz+eqVOnUrVqVSZMmECbNm3weDxZsuxcrjGS5QYwQQm32hJRQcLegOV1BYNBDh06xLJly1i0aBFLly7l119/pWLFiqSlpXHs2DFM0yQ2NpapU6fSrFmzcCZgZnDvmsZormIOgMvvcOzYMXnsscfspJsVK1bY9e+BQMBufOFyHTDDP6aR+WOaYkqGmJImppkhIuH+BCkpKTJv3jzp06eP1KhRQ1RVlaioKOnRo4e8//77snv3bpkyZYoA0rBhQ9m4caOIiOi6LhkZGdclscp1768Rkm09ff/+/QwbNoyPPvqIdu3a8frrr1OrVi179LciuiLu+vt1R7GmAF5ASE07y5bNG1m4cCEzZsxg8+bN+P1+6tSpwyOPPEL37t2pXbu2bb07d+7Mrl27eOCBB6hfvz6hUMj+bK1KyGsZp3Hd+2uAcxdYr9fLzp076d+/P4sWLeKee+7hhRdeoFq1arbL7+4ld/XJPie31s+zB/esz+Hs2bP8/PNOli5dyoIFC1m1ahWBQIBatWrRrl072rdvT6NGjYiJicnxtdLS0ihSpEiOiTrXelB3RX8NsKrmPB4P69ato3///qxZs4a+ffsyYsSIc91WNc216tcIyYy0W1lzltCdMRRd19m3bx/Lli9jwfwFLFu2zJ6nt2/fnvj4eBo2bEjlypXz1SDtuvfXAMtyz58/n379+vHzzz+TkJDAP/7xD0qUKEEgEADIkiTicnVxbvBpCdZysZOSklixYgWff/45q1atYv/+/ZQsWZKWLVvSs2dPGjduTLly5YiIiLDd9Pw0DXMt/TUgFArx5ZdfMnDgQI4fP87o0aPp378/fr8fESEQCGCaJn6/3820u0ZkF+mZM2fYvn07s2fPZtasWfzwww9ERETQqFEjOnbsSJcuXahXr57tEVjLqc5S6PyCK/qrgHNuqOs67733HqNGjUJRFF566SUeeughvF6v3SDDsjD5xVLkF6zPwfl/Zzeh06dPs2vXLpYuXcq8efNYu3Ytuq5zyy230KFDBzp27EhsbCzFixcHzs3BnTGX/PiZuaLPZUSEUCiE1+slJSWF119/nXHjxlG6dGkmTJhAly5d8Hg8+fLLkh+wBlLLAlv3LU8qGAzaQp8/fz6rVq0iOTmZm2++mbi4ODp06ED9+vUpX758gfW6XNHnMpbbmJyczLPPPsvUqVOpXbs2U6ZMoUOHDpimia7rdmmsS+5iLYdZgrcs8vHjx0lMTOTrr7/mu+++49ChQ5QuXZq4uDjuvfdeGjVqRLly5fD7/UDW3Pz85LpfDK7orwJHjhzhmWee4f333yc2NpY33niDBg0a2K58MBgkIiLCFf1VwKpfD4VCpKWl8dNPP/H1118zb948du7cSZEiRbj99tvp3r07HTt2pFatWnZevOW2W0E+V/QuF8QZFNq7dy8JCQl8/vnndOnShUmTJlGjRg27Dt663O7y3O9zoYi48yub/e/Jycls3bqV7777jgULFrBu3ToMw6B27drEx8fTvn17YmNjKVasWJZjWZ8PnFtFKaifjyv6K8BaqpHMDSg2bdrE0KFDWbFiBQ899BAjR46kcuXKF2ym4JIz2ZfSIGuTiuxZbBkZGezZs4fExETmzp3LqlWrOHv2LDVq1LATZ6x5unOJraBZ8IvFFf0VYLmAmqaxatUq/vKXv7Br1y6eeuophg8fbm8+4Qr80nBeM2sAgHNtpaxls+PHj7Nw4UJmzZplJ86UKVOG+Ph4evToQcOGDSlTpoxdnux03QtzebIr+ivEMAzmzp3LgAEDbNd+6NChFCtWDBEhGAzi8/lc4V8iOVlj0zQ5fvw4O3bsYObMmXz55Zfs27eP4sWLExsbS8+ePenWrRuVK1e2H+9MdXUesyC777+HK/qLJCeLHQgEmDFjBs888wyhUIiRI0fSu3dvIiIi7Oiv9eUqrK7kb/FbXpDzb0lJSWzbto2lS5cyd+5cfvrpJwDq1atH27ZtiY+Pp06dOjnO052bdzqnCIX5M3FFf5E4vzBWdPjNN99k1KhRFC1a1E66sdpRQ9ZiDpdzltdZ1KLrut07wCnEYDDI1q1bWbJkCbNnz2bjxo2kpKRQp04dez29QYMGlCpV6pLPoTBbeXBFf9E4v6BpaWlMmDCBsWPHcvPNNzNx4kTi4+MBNyr/Wzhz1K1sRasQybLEu3fvZunSpXz11VesXbuWX3/9lZtuuokOHTrQtWtXGjRoQJkyZdwegVeAK/qLxKqC+/XXX3nppZeYOnUqt912G2+88QYtW7a0A0XgtrW6EFZ2nFU+bAXTTp48ycaNG5kxYwbffPMNhw4dIiYmhqZNm9K9e3e6dOlCpUqV7ONYGXbWvn0ul4Yr+ktg9+7dPP/883z88ce0atWKSZMmUa9ePbvfnaqqdudTl/NxNhI5ceIEP/74o+2+b9u2DZ/PR8OGDYmLi+Ouu+7i1ltvJSIiIstgYR3HwhX9peOK/gI4izUURWHHjh0MHjyYOXPm0L17dyZMmEDVqlXtx1lLS4XxS+gUc/YOQc6pTkpKCtu2bWPJkiXMmTOHTZs2oes6derUoX379rRp04bbb7+dkiVL2t4A5FzU4sZLLh9X9DkQCoVsa+Lz+Vi7di0DBgxg5cqVPPHEE4wePZqyZcu6HW4yMU3TLjKyhO/0dvbt28e8efOYPXs2q1ev5sSJE1SrVo1OnTrZJaulS5e2+/oX5sj6tcAVfQ4494ZfsmQJffv2Zffu3fTr14+RI0dSokQJMjIyiIiIuM5nmjfI3nlGRDhy5Ag//PADn376KQsWLODYsWOULVuW+vXr88ADD9CxY0fKli2bxUsqqLnueQ1X9Dlg9bT79ttvGTRoEMeOHWPo0KEMHToUj8dDMBi0l5nc+fu5QTIpKYkff/yR+fPnM3/+fDZv3kxUVBT16tWja9euxMXFcdttt+Hz+bKkMFtTJDcQem1wRc/5SSKGYTB9+nSee+45DMNg3Lhx/PGPf7Tn61Z5rMfjKTBz+Oypr854Rk6PsUhNTWX9+vUkJiayePFiNm3ahKIo1K1blw4dOhAXF0fdunWJjo4+bxcY57w/+1TJnatfPQq96C1LY+XQp6enM23aNJ599lnKlSvHxIkT6d69e45bExeUL6Z1DXLKWsseoLMaSe7evZvZs2czf/581qxZQ3p6OlWqVKFbt27Ex8dTv359YmJibE/IeUzn6xaUa5ifcH1TwtlfkZGRpKSkMGbMGCZNmkT16tV57bXX6NChg739lPMLWpC+rM5x35m6CufSVU3T5MSJEyxbtowvv/ySb775huTkZG644QY6dOjAPffcQ/v27bnhhhvs52V/jewDZ0G6hvmJQm/prb3Cf/31V8aOHcu//vUvYmNjmTJlCs2bN7dz6Atypp1l6QG7oYSqqui6zrFjx9i4cSPLly/n66+/Zu/evRQpUoRmzZoRFxdH+/btqVmzJl6v1/aYcop1uFY971DoRQ+wf/9+hg4dymeffUZ8fDzjxo2jbt26hEIhOymkILe3yu56nzlzhnXr1pGYmMjChQv56aefEBEaNWpEfHw8bdq0oXbt2kRHRwPn+vo7+9Jlv1YF9drlRwqV6J3pm5Y12rFjB0899RSLFy+mV69ePP/881SuXNn+EjubZOQ3si+FOefr2d9PMBhky5YtzJ8/nwULFrB+/XrS0tK49dZb6dSpE+3bt7fX053kVFzkvLX+5pJ3KFSit1x5K2d7zZo1PPHEE2zevJnevXszZswYSpcunW9Fnh2nu+1sIGH9X9d1fvnlFxYvXsxXX33F8uXLSUpKonz58rRv3557772XZs2a2UJ3XfSCQaEK5Fnup6ZpzJkzh8GDB7NlyxZGjhzJwIEDKV68uL0GX1DIvjmiYRgcOXKETZs2MXfuXObMmcOBAweIiYmhcePG9np6tWrVsixRWoOE2747/1OoLL2IkJGRwddff83QoUM5e/YsgwcP5m9/+5stdF3X8fl8BSJBxLkhZl4u6bIAABjpSURBVFJSEj/88AMLFizgu+++Y8uWLURGRtKgQQM6dOhAy5YtufXWWylevLidh6Bpmj0tsCgI16WwU2BF78z2siLvoVCIN954gzFjxqBpGhMmTOChhx5CVdUsqaR5LVKf/SOyzs2Zp55THYBhGGzatImvvvqKxMRENm3aRDAYpHbt2vTo0YO2bdtSp04dSpYsaT/HGcvInqDjuvcFgwIresMwCAaDaJqGz+cjEAgwYcIExowZQ8WKFXn11Vfp2LGjbc3yOjl9TM6mkc6y08OHD7NkyRI++OADuzNspUqViIuL44EHHiA2NtZeT7eOkx+ugUvuUKBFb1ntY8eOMXHiRKZMmULdunWZNGkScXFx+cZyZT9PZwYhhFtAHz16lE2bNjFr1iwWLVrEgQMHqFChAk2aNKFr1640b96c6tWrZ9nIwRnYc0VfeCjQogf49ddfGTFiBO+//77d+KJBgwZZ9pzLy8J3Rt+z//7o0aNs3LiRRYsWsWjRIrZv305UVBQNGjSga9eutGzZklq1ahEZGQlkXU+3yN7FxqXgUyBEf6E57+7duxk0aBDffvst3bp1Y9y4cVSrVg1d120rl5ei0Tmtb2df605JSWHz5s3MmTMnS+LM7bffTufOnWnfvr0dkHM+3zq+dev0FHIaVFwKLgVC9BkZGVkslcfjYfv27Tz22GMsX76c3r17889//pPy5ctned71du+zt4DKHjxzVr0dPHiQefPm8dlnn7F8+XICgQA33XQTnTp1omfPnjRq1IgSJUpc9Gtf7/fucv0oEKJ3bj4oIqxYsYL+/fuzZcsW/v73vzN8+HBbEHnli+6sI89J7Onp6Rw9epTvv/+eb775hiVLlvDLL79Qvnx57rzzTrp160arVq2oUKGC7aIX9tbOLhdHgRC9szJs9uzZDBo0iEOHDvHMM8/w5JNPUqpUKduq5hVRWIFGONc22zRNjhw5wsaNG5k7dy5Lly5l9+7dFC9enEaNGtGhQwdat25N9erViYyMzNKIIi+9N5e8TYEQvWUp33vvPYYPH04gEGD8+PH06tXLfoxpmni93jwzd3WusZ89e5a1a9eyYMEC5s+fz9atWwFo2rQpd911F61bt6ZmzZp2gYsVk8i+VVNeeW8ueZt8Kfq0tDR8Pp9tIXVdZ9q0aTzzzDOUKlWKSZMmcd99910wwHc1ca6dW69p7UufvRHFnj17mDVrFp9//jmbN2+2G1H07NmTBx54gBo1atgBOeC8ZTanS+/O0V0ulnwn+lAoRCgUwu/3A+F2TRMmTGDChAlUqVKFl19+mc6dO183AVhFPXAu19+5o8vBgwdZsWIF3377LYsWLeL48eNUqFCBVq1a0a1bN9q0aWM3jAQ34OaS++SryhLnMpOVdPPSSy8xbdo06tevz7hx42jVqtV1XX+3RGp5IYZhcOjQIdatW8fChQtZvHgx+/fvJyYmhhYtWtCxY0datWpFtWrV8Pl89lZPlkV3189dcpt8ZelFwvvJeb1e9u/fz/Dhw/n444/p0KEDEydOpE6dOnbPep/Pd13P9dSpU6xfv545c+awePFitm/fjsfjoWnTpsTHxxMXF0f16tWJiooCwvN0a//17Bs9uHN1l9wkT4s+e2KKFbTav38/Tz75JPPnz+fBBx9k/Pjx9l5nlmt9pRbS6VbndIlymkfrus62bduYO3cuX3zxBT/88AO6rlOrVi3uuusu7r33Xm699VZ7S2XIWuDizIG3vBo3L94lt8nTonemjVoiXrlyJYMGDWLt2rU8+uijvPDCC5QrVy5XX9dZcZe9eytgz9NFhEAgwIEDB1i1ahVffvklq1at4tSpU9x00020bNmSLl260KJFC8qWLWsfww28uVxP8rzonSxcuJBBgwaxa9cu+vXrx+DBg7OUheYmluV1Xh5r8LG8jTVr1jB//nwWL17MwYMHKVeuHM2aNSM+Pp7WrVtTpUoVfD5fljn6b/WRc3G5FuRp0VunZpomX375JaNGjSI5OZkhQ4bw+OOP2wkquS0e5yUJhUL2PPvEiROsXr3aDsjt2rWLYsWK0bx5c9q3b0+zZs2oUaOG7b5b6+lwrvTVmq8XlJZcLvmPPC16i/fff5+RI0dy8OBBOnbsyIcffmj3bbvamXYiwoYNG5g5cyazZ89my5YtBINB6taty4MPPmhvqWz1xXfGIbIv3VnnmxcbdbgUHvKM6C13Wtd1ALxeL6mpqfZuM8FgkBo1atg59H/+85/p2bMnZcqUsa2x1d/utyLezgSX7MktluUNBoPs3r2bFStWMHPmTJYvX05aWhpVq1aldevWdOnShZYtWxITE/O778kVtkteI8+IPhQKAdjZaydOnOCVV17h1VdfJS0tjbZt2/Lcc89RpUoVPv30Uz744ANuueUWEhISiI2NtV1p5zp5dpzNI1RVJRQK2Z1zQqEQ+/fvZ+XKlSxevJilS5fyyy+/cOONN9KiRQvatWtHixYtuPnmm9E0zW6n7fV6r/WlcnG5MiSPYBiGhEIhMU1Tjhw5Ir1795bIyEgBpFevXrJz584sj12/fr307NlTYmNjZebMmaLrugSDQdF1XUzTzPE1MjIyxDAMMQzD/t3hw4fliy++kL59+0rNmjVFVVUpWbKkdOvWTd5++2356aefJDU1NctrO1/LxSW/kWdEbwn14MGD8oc//EEAiYiIkCFDhsipU6ckGAxKKBSSQCAgoVBIQqGQHD9+XIYOHSo1a9aUjz76SETEFnVOwrd+l5qaKmvWrJEhQ4ZI7dq1JTIyUvx+v9xxxx0yceJE2bRpk6SkpIiISDAYlEAgIKZp2j+6rmcZOFxc8hPXRfSWtcwuni1btkjbtm0FkDJlysgrr7wiwWBQRER0XbfFbnkEIiKhUEgGDBggVapUkblz59rHzy7KQCAg27Ztk1dffVXi4uLE5/OJpmlSs2ZNeeqpp2Tu3LmSnJwsIucGB0vkzoHkQl6Ei0t+4brM6YPBIMFgEL/fj8fjwTAMli5dyrBhw1izZg116tTh2WefpVu3bvj9/vO2mMq+1p2amkpCQgIrVqzg3XffpX79+gAEAgH27dvH8uXLSUxMZMmSJZw8eZJKlSrRqlUr4uLiaNKkCZUrV7az3yBr1xoXl4LGdRF9KBSy00u9Xi+zZs1i5MiR/PjjjzRv3pxx48bRvHnz85pEWKdq/d+Z7JKUlMTDDz9MuXLlSEhIYOvWrXz77bcsX76cPXv2ULJkSbvApXnz5lStWpWIiAgg655v1vFd0bsUVK5LlZ2mafbS2v/+9z+7080999zDxIkTufnmm9F1PUtjiOw56tZx4FxOfp06dZg2bRqJiYkcOXIEVVW544476Nu3L3FxcVSpUsUucLFKYJ2DirPQxcWloHJNLb041q0DgQDvv/8+Q4cOJT09nb/+9a+MGjWKmJgYO/fdmezitPTWOntSUhJbtmzhq6++YtGiRWzdupWIiAhuvvlmOnXqROfOnWncuLGdIWe9vnPgyN6Ewrp1Lb1LQeWqit6yolleUFE4c+YMU6ZMYfLkyYgII0aM4G9/+xtFixa1ra9TjE53OyUlhR07drBo0SLmzZvH2rVrOXv2LAAPPfQQ9913H02aNKFChQpX6225uORrrqp7b1lkCOeh+/1+jh49yvjx45k2bRoVK1Zk9OjR3H333URGRp4XsIOwC6/rOrt27WLx4sUsXLiQdevWcfDgQQDKlStH27Zt2bVrF9HR0XTr1q1A7Trr4pLrXN3FgfCSmrXkdfjwYenVq5eoqioNGzaUNWvW2EtrzuUxi+TkZJk5c6Y8+uijUrVqVVFVVQDx+/0SHx8vU6ZMke+//15SUlJk3rx5Ur16dZk6daq9zOfi4nI+uSr67GvYzkSWvXv3yt133y2KokiXLl1ky5YtIhLOkrNEapqmpKamyurVq+W5556T22+/3RZ6TEyMtG3bVkaPHi0bNmyQtLQ0+3WsgWLq1KnSoEEDSUxMzM235eJSoMi1Ob1kBsecteMQLpxZu3YtgwYNYvXq1fTp04fhw4dTsWJFe+6elpbGnj17WL58OXPmzGH16tUcP36csmXLUq9ePdq0aWPvn569fl4yW2hpmsapU6d4/PHHufHGGxk/frzdPNPC7UDj4pKLc3rnDi3O2vElS5bw9NNPc+DAAUaMGEH//v0pXry4vaXyypUrmTlzJitXruTAgQOULl2axo0b06FDB5o0acKtt95KVFSU3U02e/soRVHweDzouk6pUqW4//77GTt2LD/99BONGjU6r4GFG5V3KezkavTeqjyzxPXFF18wdOhQNE1j7Nix3HvvvaSkpLB+/XpmzJjBwoUL2bt3LyVLlqRevXp0796dFi1aULlyZVvoVl26s21WduFa1t7r9XLkyBF69+7N7bffzrhx4wiFQvZA5Fp6F5dctPTW2GGVmv73v/9l8ODBlClThpdeeomaNWvyyiuv8MUXX7BmzRoiIiJo2LAhjzzyCD169KBWrVp2so0zQ86aAlhiv5CltqL+5cuXJzY2lu+++45AIEBERIRdo+/i4nIFoncK0qqB1zSN06dPM336dMaMGUOFChXo2LEj//3vf1m5cqXdceb555+nY8eO3HLLLfbe6eJYpnPu3iLZUnCtx+bUqdb6fePGje3BpXXr1uc9Lvv7uFxy2kr6epP92lzKeTnfy6U+9/eOZ32eF4Pzulr3r5ScPueLPa7zu54b5NRs9WKPbeWxpKamUrRoUbxe7yXv5HRZoreCdtnnykePHuXll1/mtddeIxAIcOrUKebNm8dtt91G//79ad26NTVq1KBIkSLnHTP7iVqu+IXegPVB5PSB1K5dm4yMDLZv307r1q1/c93+Sj/IvCJ2C+f5XOq5XclzL3Q852B+scd0Zkta969kama9/uUM8NkHwtzE+b29lPTv1NRUxowZQ2RkJF27diU2Nhav12u3Z7MMpfOaOV/rit17RQlvqzxnzhzeeecdFi9ejK7rREZGUrduXeLj47n55pspUaIEpmmydetWDMOwK+ysE/P7/XbnWFVV7b9bHoTV4cbK27deOydKlSqFz+fjhx9+IDExEcMw7Ai/9RzrmFYNwOW+d6/Xm2W0vZTYgbOGwOPx2O/3cvF6vVk2+bhQB6ELnYtktgyzzuVKkpyyx18u5Rpnv365NTBfznFyeyDMjWMXLVqUzZs3s3jxYv7zn//QqlUr/vCHPxAXF0dkZKQt/gu+7uUE8qynhEIh1q9bxwcffMD/Pv2UkydP4vP5UBSFiIgI2y23Rh6rTFZE7C+VdSxrQ0rrAni9Xvu+Jfbst9bfihQpYgtP0zR8Ph8LFiwgEAhkKZl1nrtV4XclI7jzfK7kC2Gdi9Ve+3KwvC1rZ97sNQaXcpzsn83loKrqeYPYxZ6Lc3rh9XqJjIy8Ikvv8Xjw+/34/X77Gl/se8u++UhkZOQVbZmmKAo+nw+fz5fFeP3+8QRFUW0j++mnn7J37177vURFRdG8eXMeeOAB4uLiuPHGGy/4vcxB9AIo9v/sB5LVRTo3mihs37GDzZs3E8zIQHF84YzMSjnLegcCAdvqWsfKaX7uFKLThbfup6enZ2kvnZGRYVflmaZJMBhEVVUiIyOJjo62n++cVwaDQUKh0BUH+YLBIIFA4LzYwsVgfSi6rtvv4Uqq/Kzj5JTOfLHnY5omGRkZdvnz5WIYhn2cy8X6zJy3V3IsZ1Wl9bvfw/ndzH4+F4OiqojpjE+AaRqEQkHCOlMxTUFBUABBLPllKlHJFGKmh+oJf0apqalZ3o91PtWrV2fQoEH85S9/uWDH5WyiFxAdIXN0UxRAwTQNFCugZpooimCagqoqCCqGKHg0jdx1fi6fS2mGcaXztOyD0qXg/EJlr+m/0nO5Eg8mN87Fev7lDBzOwV/XdQKBgH3/cs/DMAyCwWCWlumX8v6sgLVluC7G8zDEQBQQw4OqAKLg0Ux0I0AgcBZTNFR8iIAGCCaiCCgmgiAoKKIBKkjmFEU1SU9PZ9SoUaxZswYRoVixYtSrV4+uXbsSHx9PlSpViImJueD1+s1JmyICCJqihIcorC+WmTn4aCgoKCKEdB1Ua1kt8wACmsI1HwwuxRUsaIE8l7yDbgRRFRVF9YBYEhLAzLy9vJhJIBAgKioKVVVp3749f/rTn2jdujVlypSxp7O/9b08z9KLZB2Zw6O1gapamykqqKoHMp2RzMNgOSOm4y0h4LkOoncpGFxoafZKuZypT05T0N95BmIGQAKoWjFQzhe4AHqmWDTV0okJiq0gEBWnpTdMnfT0dN555x3uuOMOmjZtmiVuYnkhv2X4zpvTm5goIufm8FgXR0FVvWRkBPjl6FF2797NqZMnMXSd4sWjqF69OpUqVcYfUQRrti+u6F0ug+xz7txIn3ZOe5y1IRfLZUXaJUAocJpN67ez/+AxDFRMdEzF5IbSpahevRYVyldCUTRUT1gn4bl92HSGTamCIiqiqIAgjkC4s/eEcwelSxK95XgoIqgYIOEXF1NQNA8//LSFt97+N8uWr+TgwQOknz2LaYTwejRuqlKFtnHt+EufJ6hze310U1A0Fb8repfLJLcTdJzHza3EowujoCgBUo7t46GHnmDJ8jWUrVAZze8lkHGWM6nJ3Fi+Ij173E+/AQOIKhmFmKAogkcMVMI6FCUcWxNUBAVPtliEtTJ2Ke/tPNGHAA1BFQMFHTEN9FCIFSvX8PSAQezau5/ud99Lz7t7EFMiCq8KR385zFdfzmD2nPlUq3ELk1/5F81aNkcEIlzRuxRa0jl9bB9dO/+BQEjjpYmTqFK1CmczUtm7eyfvvPVvFi9YwqN/eZwxr0ymqEdDA7yYqIqAGICCKGBkRvo95EL9iDgwRCQgIiERMc2QiJkmImdl945N0jGutWiaJpNffU3SzPBjRUTEDIlIhgTOnpR/PjtcIvwead2+oxw9kyppIuJ2iXcpvATk5LFtcmf9OtKiaXPZv++QmCKim6aIBGXD+pXSqO5tUr7sjTJjyUrJEJE0XRfdNMTQM0SMDBEzQ0wJSkhCEpTc2VHp94cNMVmWmMj3a9fS45676d27NyKQbpgEdBNDBEwTf2QEjz76CI3uaMSKFctZu2ZtboxJLi75GCUcl9M8oKgEgjomENSDGEY61SpXoPpNlTl96gT7Dh3MfErmcrnpnD6I4+fKyaJLBdDEWqoDFI1Q0GTDj9s4lZJOpy534y8SiSmCpqpomoKSua6IGJQpV5bGTZpi6ipLl63JlRN0ccm/CKYGGgYhUwFVRQMU08BU/SSfOsOpk6kUL16WqjeWQQiv1yuEHxseAFQQFVVUVMmdifJ5oveIJfzwnwMZOkeOJxFRNIpyFSqHg32Za/GKYkX5M1NpI4twU5WqmIbKzzv359K45OKSPxErsm4GwOO3024j/F5Opwuf/W8GK7/fQoNGzWnZsD6qmGAaiGlmLouHfxQ8qKKhyeXXZTj53ewAwUQ3dFRNw+f1hMMJWYJz4YUGlHC6oKqpoAhGKD2cZWQnJbi4FC4URQVTwadp7Np/gCmTJlGpbDSnUs7wTeJajm3bRL2Gd/D8P5+jZHQJdNMM60cyBwxVIUsqTC5xnujPZd6H73k9GsWKFiXtzGlSziSHhaxYWcPW+qkKKJi6yalTJ1HEpHLlSuHfuoJ3KbSoGIEMivn9pJz+hfnz5lPUb6D6vFStWY/+f3mQDp16UKFyxfD6emb+gKpqYWt5lfgdSy/4fD4qVQxvHLF3966w2MUqDiA87xATFJVTp0+wbv0GQGjXprXr3rsUerzeSM6mpHNrrTq88fa/qFrlBjIwMIuWoJTPxBQPQRN8mSLXFBVD18+VNTtS2nOL8wLs4WSAzDsmaB4vzZo2okL5Mnzy4QccOnAIv6Jk5toKuh7CRAU0FixazJKlS2jStDEtWjTDcLeFcynUKKiKhsfjxev1ER0dTVRMKUrGxFDE50PEAMVEVUBTz/WMyKnHQxZdXiEXWFXL9N+VcEZes6ZNuKtTJzZs+J5Hez3KkqWryEjPQAxBROH0qWSmT3+HwUMS8EdEMnzkCKKjioIpbmKOSyFGMBF0wwgHwK2CFDHCJbQi5wpxMmNi4fvOCXauGnngYsp8xCAmpgQjR41A8/r55H+fc/9991GpYgWio4sR1IOkpqZw4OABqlavzrBnRtCuXWtHZN+VvUthRSFkQoZpEjQFwxQwjfDKF6BIuM7l97JlnMLPjfj970fvzXB76YqVKjBu7Ev88aGHWfP9etZ+/z1nzpwmQvFze716DGrenDubN6dy5cqYholuGOEGAm703qUQE1msKG07dCBJKUmRohGgnDOFVh39eRF6x30z269yg/Oq7LL2zcl8SdP2QTIDdxAMhjAlXALobG1lmGJXMWmKaiUYubgUQsKl6npGOobqxevxomXOzU1UVNFRyEzAuYBhzC723LCf13R/ehcXl+uPa4ddXAoZruhdXAoZruhdXAoZruhdXAoZruhdXAoZruhdXAoZruhdXAoZ/w/yDRMJYogPmAAAAABJRU5ErkJggg==)
Hint:
- Angle bisector bisects the angle in two equal parts.
- If the measure of angle is 2xo then the angle bisector will bisect it in two parts measuring xo each.
The correct answer is: 21 digres
- Step by step explanation:
- Given:
Ray OQ bisects ∠𝑃𝑂𝑅
𝑚∠POR = 42°
- Step 1:
- Let 𝑚∠POQ = xo
- As we know angle bisectors bisects the angle in two equal parts.
Hence,
𝑚∠POQ = 𝑚∠QOR = xo
- Step 2:
From figure it is clear that:
∠POQ + ∠QOR = ∠POR
x + x = ∠POR
2x = ∠POR
We know that m ∠POR = 42o
∴ 2x = 42
x = ![42 over 2](data:image/png;base64,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)
x = 21o
m ∠POQ = 21o.
- Final Answer:
Hence, 𝑚∠POQ is 21o.
- Given:
We know that m ∠POR = 42o
Related Questions to study
Maths-
Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑅 if 𝑚∠𝑃𝑂𝑄 = 24°.
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)
Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑅 if 𝑚∠𝑃𝑂𝑄 = 24°.
![](data:image/png;base64,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)
Maths-General
Maths-
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b) 𝑚∠𝑃𝑄𝑇
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)
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b) 𝑚∠𝑃𝑄𝑇
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)
Maths-General
Maths-
A sports store sells a total of 70- Soccer balls in one month and collects a total of $2,400. Write and Solve a System of equations to determine how many of each type of soccer ball were sold.
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)
A sports store sells a total of 70- Soccer balls in one month and collects a total of $2,400. Write and Solve a System of equations to determine how many of each type of soccer ball were sold.
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)
Maths-General
Maths-
Ray OQ bisects ∠𝑃𝑂𝑅. Find the value of x.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARsAAAEbCAYAAADqLSAhAAAgAElEQVR4nOydeWAU5f3/X8/zzOwmnMp93yCHKIigiAetIh5YtZ71a2ut1X7bn7X9akWFECAhEaGo9aCH+PWo1qNeqBwq4k05VC4RQRFBvDlCAsnuzszz/P6YnWGD+C2WECA8L12y2Z2ZzG4y7/08n1MYYwwWi8Wyl5E1fUCrXRaLZVfskdgYY9Bax18BfN+vkROzWCx1C7Gny6hIaIIgQCkVHlQIpKxxo8lisRzA7LEiBEGA53kIIQiCACFETZyXxWKpY9SI+eE4TngwKclkMlZwLBbLt9hjsXEch/Lyct5++22+/vprpJQEQVAT52axWOoQe+wgBnjvvfe49dZbWb58OY7jxL4bi8ViidhtsTHGYIzB8zy01nieF4vN7NmzeeKJJ5g9ezbbtm1DCBFHpwC01vi+b8PiFstBzG6JjTGGIAhisdBao5RCSskbb7zBo48+CsBzzz3H6tWr4/2CICCTyYQ/SEorNhbLQcxuiU0UyvY8LxYZIQTbtm3jiSeeYO3atQgh+Pjjj5k2bRqpVCrez3EcKzIWi+U/89lE4jF//nz++c9/xmJkjOHxxx9n3rx5sTgZY+KcG5t7Y7EcvOz2MsoYg+M4cbSprKyM6dOns3HjxjixL5FIsGXLFu6++24qKipQSsWRqSAIqvlxLBbLwcVuL6OiCJMxBqUUy5cvZ+7cufi+Hy+rImGZP38+c+fOja2ayBKy+TcWy8HL93IQR2KxZcsWZs2axUcffUQikSCZTCKEIJFI4LouGzdu5Nlnn+Xrr79GCIExxgqNxXKQs1u1UdEySQiBEIJUKsXatWvZvHkzrusydepUHnzwQX77299y4YUXIqWkQYMGdOvWjUQiQRAESClxHMeKjsVykOLszkaRAzgIAlKpFPn5+Rx22GHx0mrWrFkAtG/fnsGDB6OUIpVKoZSKb77vxyFzi8Vy8LHb4aHIsomWTL7vV8uhAfA8j3Q6DUAikYgdxL7v28xii+Ug53tFoyL/S+T4dV0XoFqUyXGcb0Wdooxim29jsRy8fK9lVO4t8t8A34o2RZZOFLnKPY7FYjk42S2xgR0CErWT2JVw7FySYMXFYrFE2JRei8VSK1ixsVgstYIVG4vFUitYsbFYLLWCFRuLxVIrWLGxWCy1ghUbi8VSK1ixsVgstYIVG4vFUitYsbFYLLWCFRuLxVIrWLGxWCy1ghUbi8VSK1ixsVgstYIVG4vFUitYsbFYLLWCFRuLxVIrWLGxWCy1ghUbi8VSK1ixsVgstYIVG4vFUitYsbFYLLWCFRuLxVIrWLGxWCy1ghUbi8VSK1ixsVgstYIVG4vFUitYsbFYLLWCFRuLxVIrWLGxWCy1ghUbi8VSK1ixsVgstUKNio3J3qp/Z8L/jcl5DjAm+yX8qk1263i76kezWCwHNk7NHEYAEAiJLxQBIHUa4/lINwlaYbTBOAqNQRkD2kdKiTGSDJoAiZAgjUZJCI/iIkTNnKHFYtm31IzYiMgWkZjov8DHoEFrjFRIRwGgEIAAlUAHGhMYtBSgIDACpRQYH9BWaCyWOkTNiI3RAEgCBAYJCCmRUvLyi3N4ZvpMfBxSvo9SBmV8Gtavx9H9j2LQMUNo1akDKBcwaG0QIlplGYRVHIulTlBDYrPDtyKIfDAGFWjmz1/IXX+dSiK/KS1atUSKAL+ynK1bNlE/vz6H9erDhT+7jHMvuJhGjRuAyPpsjEFY97XFUmfYQ7EJhUUQWTYg0Uh8AqMhkUA6LgAnn3k2V/7ipzRpnIfIpPls/Sc8N/1Znpv5Ap99s5kWbdpz8rBh5OVJhNGEkmOtGoulrlADlo0BE4qCwCCMBgTKcfDTabzAB6B56+YcN2QgTRvVx6+sIjHkOI49djDl21LMeHEmL730EkN/cAKafHQQkFQCYzRCqD0/RYvFss+pgYWKJLZADAgThbsDlJJIFYqFlAnSGY0BXNcFAZ27d+OYYwYB8MVnX7B5y1akEEgpMMb6ayyWusQeik1WDHJEIbybjUJhMEYDEj8I4oVRxvMI/NDicd1wmZVOpdBa4/u+XTxZLHWQGnEQG3YsdUROMp8gQIiAMIwdRqoM4DoOjiMp37yFVatWAdC+UycaN2qIVAphDDrQCGGQ1klssdQJajSpzyAQRoShcKERSiF06Dx2Ewnq5zm4AAmXbz7/jHv+8lemT3+Gjl16Mnz4MBo1aoAxBj8ISCrH5tlYLHWIGhKbyPwQEC2WdLiUigRjzsxZXLLmQ/JEQFLB5q+/4sNVq+jZsze/+PVvOOWUoTiORMS+GluqYLHUJWpoGRUion+MDnNvnETs1tlctoUPV38AXiVlX33JlvJyDuvUkev/cB1nnncugVJoDUoQOpV1BiGtaWOpfYIgQEppAxQ1TI1mEAOhQAgRZgQb8P3wuYE/OJn/ueoyWtR3WLPyPWY9N4Nnn32OBx68n+59Dueww3uSDgCZ9fvkHNNi2dsYY9BaI4RAiDAaGgQBQmRLaCx7TA3VRuV+kw2FCwEiLFkAaNu2JUceeTiHJhWDjjqSw3v35qsvv2LGzBl07dWXMcVjSSTzCAKNciUClQ1/18gZWiz/J5EVo7VGKYXW9sOuptkLsR4RJvkFPgixI7RdmUYISSKRxBhDrz69ueTSS6ifl8fLc17mvfdWIwUYDDowGK3j9hMWS22htSYIApRSOI4Tf1ha9pwaeidNzr+hRYNSEAT4fgBAnqvAaFzloIMA10kwcMAAevfpzXvvLeO1V+eyrTJDwnVCkREKIa35aqkdoiTSRCKB4zhUVFSwZMkSFi5cuK9Prc5QQ9Eos+NrvO6RIGRsnQhE1IkCpVxM4NGnbx9OO304/3rnXebOncuPzjmHxl07ZUPotjLKUntEvpoPP/yQBQsWsGTJEpYsWcKxxx7LMcccs69Pr05Qo/1stAhLMlW0lJIyrgh3pUAJGQbGo+WR63L2OWfzzHOzeeONN1i4aBHdO3fAkQKhVbivddpYapj4AzD7t5VKpXjppZd44YUXWLBgAWvWrKGiooJEIkFBQcG+PNU6RY2KTYjEIDB+gMwm9gH4mQxBEForQkqQDiYI6NO7F4NPGMLipYtZMH8h5599FloJlOsQ2kMWS82jteb999/n0Ucf5c0332TNmjV88cUXcUTKGMPAgQM5/vjj9/Wp1hlqdhklwAiR9bc4aKPp338AV1z5G44/8XjyEonsdhL8DEIanPx8Lrr4QlQyn05duiNlKDFhEy1bjGmpeYwxGGMoLy/n+eefZ9myZfFzkUPYGMNZZ52F49TQJWKpWbExgA4bTYSd+ozglGGncNLJp4KbQEmZbYwV7aYhSDP4mEH0H3gMgZG4UiEJUFJZp41lrxEEAQMHDuT222/nd7/7HStXrkRnI6DGGJo3b85JJ52E1tpGpGqIvfYu6sDgex6JhEsykcRoEYa2wxEKoBxwFEiBEQbHUeQlnWz2poPWBhv5ttQ0xhhSqRRCCHzfZ8iQIZx//vkEQRCLDUCfPn1o166dFZoapIbeyeomiAGEUijHxehwKaQcES6zoj4TAggMGINSDiLbAzQvz8EYjVTCWjaWGiUKb+fl5ZFIJDDG8MADD3DzzTfTqFEj2rRpg8z2zj7mmGNo2rSpTe6rQWq06lsaA1ojlcKgEE5ooWA0CSV31E4JlVWkUHWkkWE1uCFO7DNWaSw1gOd5KKXiRD0IRefLL7/kwQcfpKSkBNd1+dnPfkafPn2455572LBhAwMGDCAvL88uo2qQGhEbYcJfhjQGoXVWT8JDfysvL1Ic4ezovQXkbuY4NpnPsud4nhffkslk/PiWLVuYNm0ad9xxB1VVVVx99dX8z//8D+3bt6d169bMmTOHo446yopMDWNd7ZY6i1Iq7PyY9c+4rksqleKee+7hrrvuYuvWrfz6179m1KhRNG3aFGMMp512GsceeyyHHnrovj79OocVG0udRUpZrb4plUrxl7/8hVtvvZWKigquvvpqCgoKaNy4cewYdl2XZs2aEQRBtaWXZc+xYmOps0T+Fiklmzdv5s9//jNTpkwhk8nES6dGjRrF4e5c/0zUzyYIAptrU0PYRamlThEJR0QQBJSXl/O3v/2N2267jW3btnHllVdy3XXX0apVK6SUcd+aSJiiRFLby6ZmsZJtqRP42WkdUbmBUmE/JM/zuO+++5g0aRLbtm3jqquuoqCggGbNmsX7uq5rM9VrASs2lgOeIAhIp9MYY0gkEriui+/7lJeXc++991JSUoLWmquvvpobb7yxmtAAVmhqCSs2lgMeKSWu61YbbFheXs7UqVO57bbbEEJw1VVXcc0119CyZUs7AHEfYX02lgMeIQSO48RWTVlZGVOnTuXOO++krKyMK664gmuuuYZ27drh+77NCt5HWMvGcsATiYcQgsrKSqZOncqUKVMoKyujoKCAq6++mubNmyOltFbNPsSKjeWAYue+1FGHPa01lZWV/O1vf2Py5MmkUimuvfZaRo4cScOGDdFak8lkUErZzOB9hBUbywFFEIQ9raMGV1HdUyqV4r777qO0tJTt27dz1VVXxUIDoV8nEfVTsuwTrNhYDiiipVAkNMYYtm3bFoe3N2/ezGWXXca1115Ly5Yt9/XpWnKwYmM5oMgdICelxPM8/v73v3PLLbewefNmfvnLX1JYWEjLli1tucF+hhUbywFF5AxOJBJs3ryZxx9/nNLSUrZs2cJPf/pTxowZQ5s2bfB935YZ7GfY34blgCKKJG3dupV7772XW2+9lbKyMi6//HKuv/562rZtSyaTsRGn/RDrlrfsl2itYyvG9/24UBKgsrKSe+65h9tvv52vvvqKSy+9lJtuuomuXbvG43Pt8mn/w1o2lv2OXJ9MFOqOHjPGcO+99zJp0iQ2bdrEz3/+cyZNmkSTJk0AbFh7P8aKjWW/I8oI1lrj+35spaTTaR555BEmTpxIRUUFl19+OSUlJbHQWPZvrNhY9kuiTF8hBJ7nUVVVxbRp05g4cSKVlZVcccUVjBw5klatWtmo0wGCtTkt+yVRVrDjOFRWVjJt2rTYGXzppZfyhz/8gXbt2sVLK8v+j7VsLPslxhiklKTTaR5++OE4Ye+SSy5h9OjRdOzYMY46ua67r0/XshtYsbHsU3ILI6MGWJFjuLy8nAcffJDS0lLKy8u57LLLKCwspGPHjnF0KndqgmX/xoqNZZ8Sddbbue1DWVkZ06ZN47bbbouF5sYbb6Rjx44A8bA5y4GDFRvLPiU3+U4phRCCiooKHnroIe666y7Kysr46U9/yqhRo2jbtu0+PFPLnmLFxrJPiZL3HMchnU7jOA5PPPEEkyZN4vPPP+fCCy+ktLSUpk2b2qzgAxwbjbLsc5RSaK0xxvDII48wbtw4vvzyS84//3zuuOMOmjVrFvtzLAcu1rKx7BMix7DjOGQyGdLpNI8++igTJkzgs88+i6NOTZs2BWxmcF3Aio2lVoh60ERzmqLcmMg5/I9//IOSkhI+++wzLrjgAsaOHUu3bt1ix3Hkz7EcuFixsdQKUdQpWg5FIqO15uGHH2bixIls2LCBs88+m9LSUrp06QJYi6YuYX+TllphV6Lh+z4PPPAA48eP56uvvuLiiy/mj3/8I126dLETEOog1rKx1AqRAzhyBkfh7cmTJ/PVV19xySWXMGrUKLp27Uomk7GNr+og9jdqqRWirODIGfzII49wyy23sGHDBi644AIKCwvp0KEDmUzGjsOto1ixsdQaVakUybw8nnvyCYqLi/nyiy8YMWIEd9xxB00OPRQIHcGpqiq2V27H88KBclIqksk8GjSonxWi8HgGsJJ04GDFxlKj7Nz4SkoZLqGkxJeSxx76O2PGjGbTxq+49OLzmfzHybRo0hAElG38mmVLl/HCCy/ywisv8t6KlWQyAVImOLL/QE455TSGDBnMsYOP5pBDGmGMRimNABxpizH3d6zYWGqcncPaGEPl9u08+NDDTCydwOZNm7j44osoHD2ali1bkUmlWb/hE6bdM42nnnmG9Rs+p3Pnjhx33BDy8vKpqKjkiy++YfItRdzXvDW//vWv+OWvrqBNm5YEgUEYbKjjAMCKjaVGiRpeRbk0Sik83+e+/72PP06ZwjdffMlPLr6IwjEFdO3ahcD32bZ9G1OnTuXuv/yVQw5txpjCsQwbdgqtWrZESgVoPl67lkcfe5wH//4Qd999O02aH8oVV/wSIRzybeH3AYEVG0uNErV+cBwHYwye5/Hoo49y65QpfL5hAxecdx7jxo6lc9fOkM25+df8+Tzx9NM0OuRQRhWM4jdXX4MyICUYDYFJ0659G/r170WDRgkm33I7D9x/H8cNOYG+fQ/H8w3KrqL2e6zxaalxIuvG9/0dtU5ffMlPLryYWybeQudu3Qh8Hw2kqqp47rkZfPb5V5w8fDi/+NWvMAL8AFJVAUGgMdrHmBSNGjbkl7+4lONPHMiSdxaxYP7bWb+QdRMfCFixsfxH5E47iOZvR53zHMchlUrx0EMPUVxczIYNGzjnRz9i/PhxdOzciSCTQUiBdF3Ktpbz1rx51G/UiDPO+hGJRJJ0YNAClCtRjkA5AiE0UEnbdi0ZPHgQAMuXv8e27Wls++EDAys2lj0iWjZ5noeUkqqqKjKZDNOnT2fy5MmsXbuWM844g9KbS+narRtkm5OHGcWKz774gs1lW2nUsBGdO3cFQCqBlKCkwABSCEADhvy8JF06d6ZBwwZ8tPoDKioy+/DVW74PVmws/xG5juBIPKLuebNnz2bUqFGsWrWKk08+mdtuu40u3bpijA7/4gRhkgzwybr1ZPyAps1b0qjhITtyZwSYaqujUJykcGnZohWND2nMmvUf4xsrNgcKVmws/xFReNtxHIIgQAhBOp3m6aef5rrrrmPdunWcc845TJ06la5du4bb78K3UlG+DYD69eqTSDjorAgZwESKhCASm1BwJFI5pNMZlGsI9vaLtdQIVmws/xGRZRONu92+fTtPPvkkN9xwA5988gk//vGPKSkpoUuXLqRSqVA8xI5blPrbsFFDjIZtFdvwMz6uyP5RCjDCoEUQKo9WYFzQiqpKj4yX5pBD62OkHeNyoGDFxrJHREupp556inHjxrFmzRrOOOMMiouL6dWrF57nhTVRXgYwIEQoONn927Vrj+M4bNm8hartKSSgtcHgA0G4T2TVaIXJGL764iu2bt1Kt26dcRP2T/hAwf6mLP8W3/fjUbjGGHzfrzZ25YknnqCoqIi1a9cyfPhwbr/9dnr27IkxhmQySTKZREiFj0CjAY0wPpCmXasmNMp3KC/byIZP14ZGjBYIIyH6GhgwBoKAqsoUH6/5hNS2Ko7oeywN8huR0eBh8DFowiZdGBOtxeJbdNeyb7BiY/m3CCHiNp6ZTOiQNcaQTqd5/PHHKSoqYv369ZxzzjncfffddOnSJa6Lim6O66IR2YvdEEaXfJo3aUy/w3uTrqxgxoznqazMZH3IAolCCblDPBIuH3y4mrkvv0q9+s048oj+ODIBhDaQzt7iH2HZr7BiY/m3RO0eoumTUkoymQyPPPIII0eOZNWqVZx77rmxjyZ3n2rHASInb+iUgWR+PUacNYK8vHxmzpzB4//8JxkvgxQiTNYzIBwHlOTTDz/kzj/9iRWr3mfYsJPp06c3iURtvQuWPcWWK1j+LbkZwVG/mSeeeILx48fHUafi4mK6d++O53nfOQ5XANIIBAJQYDQykeCUU09l+Glzefypp7nxhmv55NNP+PlPL+PQRg0QRuOlK3lnwQL+MnUqL86ZS+eOnfn5zy+lc8f2+Bms4BwgWLGx7BZaa1zXRSnFU089xc0338y6desYPnw4kyZNokuXLlRWVu5yHK4xoWN4B1EoGzCa5i2aM27cGKq8FHNfe4M/TiylZEwhLVu3IukoNn3zJVIbhJAoxyGVquK95Svoe2Q/WrZpg0RicpN3LPslVmwsMZFfJvdr7uOpVIrp06dTUFDAunXrOP/88yktLaV79+6kUikSiQS+71ezbOJ2EyZ3zb7jntYalcyja49u3HnXnTzy6GMsXf4eH6z8kM0bN+I6ih49D6Nbl27069cPL53i8SeeYfz4ccydO5dLLv0vBh03hM5d25N03dC3I0T4pZbeN8vuYcXGEhPVOUVCE/UNdl2XyspKHnvsMUpLS1m/fj3nnXdevHQCYosmEpedkWSdt996OvTNJGSSju07csP1N/LNpq9Z+8mnVG7bhgDy8/Lo0KE9rVu3I11VxcBjjuOBvz/MczOeY/6ChZz5oxHcWHgDfQ7rReAHqEQCY7RtLbqfYcXG8i2i7nq5s5qeeuopSkpKWLt2LT/4wQ+qCQ3scAjvvIyKHjfGxMl6EGmOQDoqR38MENCiaQtaNG31rfPS2sNxFMNPP53eh/fhrLPO5Nlnn2fNmlWUlZWFSYYYdBCEP8b2Dd2vsGJjiYmaXQkh4longOnTpzNhwgTWrl3LSSedxJ133llNaHaH0KOys1kjdullMWh0LEc7HUUYlBJ06tSBTp27cOopp7Jm/Vrad++KNpqE44Z9ixE21rqfYcXGEhOFtCPBCYKAGTNmUFRUxJo1axgxYgRTpkyhR48ecQHm7qMR6OrFlUaC2cUxDCB1tSQ8QdbHLATaGALPR0qfFq2a0rx1c6qMQfs+RmWF0po0+x1W+y0xkXNXKYXv+8yYMYNx48axdOlSzjzzTCZMmECnTp2orKzcpT8kGrG7S4QGEaXeZR3P1Sq7xS5uu3oOtNFIGfY21pkUvvERQMJJZP1M4XPfeS6WfYK1bA5SdnUhRiKjlGLWrFkUFhby3nvvMXz4cCZMmEDfvn3xPI9kMhlPrIwmXf77CzsKTUeiseNzzoSro13ukXsv18pBSJQKSxmMNhjCok1HKYzWGAxS2M/S/QkrNgchWus46gQ7olDJZBLXdXnxxRcZNWoUK1eu5KSTTmLy5Mn07duXIAhIfEcG3b+P/DiA8y17ZZffCFC7MrqFALXT4zKBAurlPrbzNrv6eZZax0r/QUhUrxT5ZqKmV77vM2vWLG666SZWrVrF6aefzh133EHfvn3j6BTsECuL5ftgxeYgJDeHJiqY9DyPJ554guuuuy720ZSWlnLEEUdkp1LmpORlxcpi+T7YZdRBSBTajiZXaq158sknGTduHKtXr+bEE09k4sSJ9O7dG8/zYusnd6lkE+Ys3xcrNgchWuu41snzPGbPns2kSZNYu3YtQ4YM4b777otrnYwx1KsXekRyJ11aLN8XawvXYXLHrUQ3z/OAcCnk+z4zZ86ksLCQFStWMHz4cB544AE6duyI1ppEIoFSqpozOTquDStbvi81atnYT7z9j519M0DcaS8SmpUrV3LWWWdRWlpKx44dAeL5T7mZxPb3a9kT7DKqjhM5cyPrJFo6zZo1ixtvvDHuGVxSUkKfPn2A6vVMUcW3xbKnWLGp42hdvfo5nU4zZ84cCgoKWLNmDUOHDmX8+PH07dv3W8Kys1PYYtkTrM/mIEAIgVIKz/N4/vnnKSgoYNWqVfzwhz/k1ltv5eijjyaTycRLrlxyl1EWy55gLZs6Tm62cFTr9MEHH3DyySdTXFxM//794ybmkbDsvHyyYmOpCWpUbKIWBdH9nTlw/2i/X/QlfJ21+1pzI05KqXjkSiaTIT8/nxdeeIGSkhJWr17NcccdF5cgQDjVcsd5Y/NpLHuFGrds6u4f5/cJ9e6b9yCySqJwt+M4uK4bt4lYvnw5PXr0YPLkyRxxxBH/p6jU3d+jZV9hfTZ1hKgEIRIcx3HwPI/XX3+d0tJS3n33XY499lj++c9/MmjQoDgMHu1jxcWyt7FiU4eIZm8DeJ7Hyy+/zMiRI1m4cCHDhw9n4sSJ9OzZM55sGW2b29zcYtlbWLGpA+QKRVTJ/eKLLzJ27FiWLl3K8ccfz9ixYxk8eHC15L7cSFNUwmCx7C32mdjs6pP0QPh03fkc95dzzo0gvfLKK5SWlrJ06VJOOOEEioqKGDx4cDyzO9ouuuV+b7HsLWrcQRz1ps2tn4n+oHfu6pZ7oUY9bx3HqZaItqcXwM5JbRE7z0TK/Xm5+4TP7zjWro6vlKr2XPg6907mba5fJvexKMQdCc2CBQs4+eSTKSoq4phjjqkWKcxtD2GFxlJb1LjY7HxB5s4iir7P9Re4rhsLjdYa3/dj0fl+DbW/m9ywcK7wRe0Vci+4XfsxBFoH8XlGSXLRBez7fiySxoQ9doWQ1X723rigc1+HMYZnn32W4uLiuKhy/PjxsdDkWjC5WJGx1BZ7JfRtjKnWpT+akLjzlMVc0dFa4zhOvE1NCU1U3RxZINGFGQRBPLc6Eg7P8+IOdtE5hRf0jtEmkUCl0+n4eEDsdJVS4PsBjrMjOa4ms3CjCQjR64isqunTp3PzzTezYsUKBg8eTGlpKf369Yv327kBlsVS2+yVDOJIYIIgYP369QRBQJs2bWJrJZPJUL9+/W8tsyKrIbpwlVJ7LDqRgLiuG/+8SHgiEYx+diQ0uSIYCiaAic9LCEEikYjFSGtNJpPhiy++IJlM0L59WDnt+341Kyh6rXtCFNaOhMz3fV5++WWmTJnC0qVLOeqoo/jLX/5C7969422i15Z7DGvRWGqbmv+oy648lFKsXLmSCy+8kFtuuSVrCTio7IWyedMmNm3cyMaNG9m0aRNff/01ZWVllJWVIaWM2xvsKbktLKMLLJVKsXnzZjZt2kQqlYq3za0NEkIiZWiZeZ5PRUU5W7duZfv27XH3OqUUOrvkq6qqorh4Apde+jNWrVoVtmjIsXyyI6j3mFwRlFIyZ84cioqKWLx4MUOHDmXatGkcccQR8euNzjM3r8b2D7bsC2rcsjEiAAIyKZ+XXn6FL7/eyNChJ9P4kMagfXQmw2uvvcqdd96F1qANeJk0iYRDOp2mYcMG3D11Kh06dMBoH6TCIMO5ZTzuANcAACAASURBVCLcXplgx2QQqQg0SLmr+YoGpbJ+Ga35ZuNGFi5cxNy5L7P8vfcQwKCjB3L6GSPof/TRKFchEUjjgfYRTpINn33JW2++yezZs/jk44/Iq9+AE4eexIjTT6VX78PJIMjTmkObNOH000/lD7//PbNnvUDXbj1wXAd8H6MDpFRs27aNtZ98QrqqipYtm9OufUcQ3z1ObWcLJFqSRYIxe/bseNzK0KFDKSoqol+/ftVaeUL15WskPhZLbVNDlk3WckAine1AOZs/3cDTM+fSqdcgjj9xGEppHJVC6a2sWLaEl+a8yjdlaaTbmESyERKXhvXq4SoQQhMYH4IqtPHxgArPUOEb0oHGZCox6QrwU6A1KW3wjQbjg/Gq3bRXhTQZPv/sE6679nf8/LL/4rVXXibQab758lP+NOWPXHHFb3hqxmtUaJdKDX6wDWm+YctnixlXWsyVv/kdy5atoU2zZmTSKW6+7Xau/tUveH3RO5SrJMIIXCfBsUf35ehurXl51hw++WIjlYAUBhFU8snqhYweN5orf/0rfve7q/l/V/yMh59+ho3pIJxztFMIPbfpVeQ8z3W+v/TSS4wePZp3332Xvn37cuONNzJw4MBq1kwuuaFuu4Sy7Atq3kEMYDRr3n+fzz/bwMlnnUeHDs3BVIYRHcehKlVJ67ZtGD+hmJOGHg8ZD7wU+XkO2yorOKRJEwJjEDL0ewRIEBKjQSpCE8fIcDCZn0HIBEFgcNSOaWdCh2djjEEbwaZNm0kkklx77XWceuowOnZpx5fr13H3rXdy32PP87//+wA9+x3F4V2bExiBazT333s//3joUU4/50IKrvsD/Y/oxMYtm5ly11/531tv5k933c+f/noUKs8hMIaOnTrRv39PHpq+gA9WfUjzDq0QUrBl4ybu/+s9rFi+lt/97vd0adeapx/5O5Mm3k6zNodx2jG9dll5FfmvYIefCWDevHmMHj2apUuX0q9fP0pKShg6dGi8Xe6SyVoxlv2FveIgDjIeKxYvxktnOPaYo1ACAi1QQmEyGerl5yMxNKifpH4CjOOgdH3Ap0mTpuFUaB2gjSDhurgiO9zMgO9lcA1IIRAqgVIJRJATcjcy9wsykSSdStOl+2GMGz+e1q3bkEgkMaRp2aQJE4oKmfP6u6xYtphP16+jT7fm5DmSVcs+4PmZr9KiTSduuOkG+nTvQpDZRrNDm3LF5T9nzTuv8+Lcuaz68Cs69W1HEBgSiUb0OrIX6cdfZvG7Szn6+MEcmi9Yt2Yt69Z9xm+u/j0//tEIALp3aM2iq25g5oznOe3Y3qFTJ4dcR3kUpRNCMHfuXAoLC1m8eDFDhgxh7NixDBs2rFp0L4p+WQvGsj+xV2Kh6VSKtWvWkJdfnx49umcf1dmJhgk8P0Ab0NpgCL8iNEKA5/ukMxmEUCjl8Mgjj3DtdX9g4fxFaF/jKgelHLZVbOcff3+I0TeNZu3Hn5Bwo5eiAIXJ3kCBUCTz8unQsTNKOfi+Fy5dPI8W7dvTqkULUlWVbN9eFVoYQvDBylV8uGY9Q4edToeOHQkCjdABXiZFkyZNGNC/H9pLsWjREkAgVZjId0T//jRr1pT33lvB9u0ZQFCxrYJUajtt27cGwPNSHNKkCQ3r1+fTDZ9+5/sYRb0i5s6dy+jRo5k3bx5DhgyhqKiIoUOHkk6nY/9Obk8aKzaW/Ym9IDaC8vJyPv5kLU1bt6Jlq1bZR8EYCcrF88OcmrLNm9le6ZHavo3Kiq34vgdIkokkGg3SJZNJ88jDD/KXO2/nyw3rSChJYBwWvL2MybfewZq162jcoB4mCF+OEaAFaAQGQWXaw9cCgyLj+aQ9D2MIl3SuovyrL/j6y/W0bH4obVs2xBFQlcmwcVMZlVWVDDj2eFRSgdHoQKOUQ8N69WjRrCkJx2X1qlUEvo8BAuPRuXNXWrVuzWcbNlC1fStGB+TVa4BU+XyzsZxvyreBVGyr2IbA0L51q12+i5GVElk3r732GkVFRaxcuZIjjzySCRMmxEunKLQdiU20vxUby/5EDYlNbl8U2FpWxqfr19OmTUvq10+S8UKhEVKiMx4NGzbksw0b+MXlP6dDm9Z07tCew3r04Mbrr2f5smVkfE1gJH7gc9GFF3Lu2Wcx47npvPrKXLQJ+Pqbb/jf++5nWyrNNb+/hratWyClAQxGazBhoMoAyWQiPCkBSkjyEkmkFAipAMFbb7zB1rIyDuvRjXbt2iAAP51i49eb0NqnafMWKAFSKZykg9Y+IGjYoCEqCKisqIhfuxaQyM+naZMmbPz6azZu2gQG2rVryyGHNGbG88/y6afr+Wj1hzz+j3/wzWefcclPfpLNOt5BJDSu6yKlZMGCBXEJQrt27bjzzjs56aST4g57eXl5cYQqCmvbBD7L/sae+Wyi5JFIawxIJFvLt7Jx02a61q+PMAIhQUpD4AXIvAYccWR/rrv+D+TXy0caQ6aqgveXL+OB++/nhblvMuVPd3D80JMAScJN8KurruS9Zcv529S7OPqofryz+H3mLXqXX175K444sn8Y+hZhDZMSoUM0cot6GhLJBMJohAET+CipQSb47KOPueuuv5KXl8+F5/+YNq1aYDAExqcqk8ILIJHMQwtQyoCvkdJFAEIHOErhewFCOqG1hMDNr0eDBvXZWlZG+dYKAmNo3roNF/3XT7jjgae48abRNEpIZFU5V/7mVxzWoxM60KEQV8vzCUsj/vWvfzFmzBjmzZvHgAEDuP322xkwYABALEYRVmAs+zN7Jja7MNMDE5BKpdGeTzKZwHEEUpCNEgkCP2Do0B8w9Ic/xImiJl4Vn234hMkTb+Heh57kz3/+G0cOOhaVJxA6oHevHlx2yQVMmPhHxo4p5KuyKvoNGMQ5551LXr6LNLBl40aWLXmbjA9+oPERCOlw1ICjadmiafaCFohstOqbzZu5464/8+aipfziyqsYcdaZCMDB4AYaFw8pIFWZQQDaCIwIRQYlEMaAcgh8P1xiCRXWQwkV5gxVbSeVzuAHAa6AY084gVZ9BvHpunWIdCVd2zalZZdeBFIiAT8nyzcaEPfCCy8wZswYFi1axIknnkhxcTEDBgyI67DCX8GOei27bLLsz9TskDpAG43WAUpJpBAEGrQGJSXKdclUZsDRSOGQ8n0c4SPwad+uLVdddSVPPD+XVatW8+FHaxncvxcmk8FNuJxz7gjmvvIKjzw9kzYduvPfv7+Ort074WtwJCxfspj/d+V/s/bTT0EqMlpihOSFl+bQtuXxaCkxfgqZdKmqKGfatPuYdv9DnHn6qVz3hz9Qr2FDfOMjCHCTivr16iMNeBmPIAAkGAxGByhASJcg49OoYUOEo9AaQqMqFNREwgXCcL1yFWhJuzat6Ni2DdIEOKTwhUIH4XGhemHlK6+8EgvNoEGDKC0t5dhjj42LRXPzcqxFYzkQqCGxyVZ0Y5CEdUhCStKeh5Dh8kZrjdCKRCIfLRW+CZDCYNBIETo5W7RsiQkMgdaUl29HE/pZ0GkqyrZQtmkzrZs2JpXxWb/hcyqqfBrnO+jAcFjPwxg/djTbMx7aCDLGQToJevbojh9kl1VCkNlWwdOPPML/3vsARx87hJsnTaFd5y5UeZqwUDsgkVQ0atwYJV3Wf/IximNCy0wYcBQGn+3bKvHTHj0POyx89QJM7vsgBIEf5geF6y6JZ0BjyDMGEQR4JsBJOGh/hzPXGMNbb73FuHHjWLRoEf369ePmm2/muOOOi/0yqloZhJ2/bTkw2HOfDSLXP4wUkvr16+MmkmyvSuN5IBLhtsZoRDb0LZXAGFBSIIzGaJ8Nn64j42do1OgQOnTsgB9olFRUlm3j/mn38ckn6xkz5ib+/uybPPrwowwccBQnHDcAGQS0atWS8y+/DEiSe0Jak11CQSaT4ql//IPbb/0TXbsfzrhxY+jYtRvGD5cwGtAmQDkObdo0o2mThsyaMYMrfnE+DRs4oA1KCirKy3l/2VK0FAwc1D90RgcGKcPCz6rKSvKTeTQ5JInrOhjjgRQIDMaErxtjEFLgG0iwwzp56aWXmDx5MvPnz2fIkCGUlJRwwgknxAWl0SQEi+VAY8/s76xzWOc2wdJ5NGrUkvotm7Flw8c4mUoCAxmRIOz04mP8KlwFjjBgJMLJp7wSHnx0OpVVKQYOOpr2rZriag+lHF58+VX+OX0GJ592Bpdd8Suu+c0v2fzFOh77+wNsLStHJBx8oSAQkElBkAadAZNGijSY7Xjedp55ZjoTbpnCoS3bUVgwikEDjgLHRbgKJSApJRIXaMRh/Y6nS+9eLJ43iw8WL0DoAOHUA1WPd5avZOb8xRw9ZAC9ujUlCFIkRJokGbxtVWzc6nFoi7Yc2ugQjJBoxwWZIE8Y8tCIIMCIJHnKxfF3WCZz5sxh7NixcR7NxIkTOemkk+LlVdSyo/qvwPpqLAcGNbLYN3HNjgGtaNyoBR26daN84xekyjfhSvC1wjiKV1+cyeWX/oQnH32Y1Ss/4MuvvmbBgsX89vfXM+3+h2jdoSO/ufrX1M9TuK7D5+vWctedU2ncpAW/uOpX1GvQmBMGH8MZp5/Ko488zOxZs/EBIxOhCeUkwqWLDED4aJ3GcSULF85nfHEJG77eyJChJ5FULv+at5B58xbx1lv/YsH8+axeuTLrQ3Fo17k3Z55zNkmV4Zr//iVPPPYPPl67nhdefpXrr7+B9V9v4cKfnE+LQxuhXIkSPlJn2PL1Rr7eVEGL1u1o07IpQgoyHmAETuDhytA6Ahc/DQlH4DgOc+fOZeTIkSxYsICuXbvGja9gR/Hkzo24rMhYDiRqvuobqF+/Hh07d2ThkndZ9cFKunTqHH4qBz759eqxZWs5BQVj2VxWRmUqjeMmadO+PT8+7zwKx46lQ8d2BNrgaI+//fVvfLB6DTeNHkW37t3wMmnatGnFpZdewsIF8/nb1KkcfXQ/Dj+sB2jY4UAJfSVCClLpNB+uWUvF9u0ICX+cciuT/nhbXI9kTIAxmsGDj+HZ555GqXwc5XDxRZewvXI7jz36JP/vN9fg6wA3mUfXHr0pvvlmzjn7bKSSGOMjtAE3yQer1/D5hg30HTSU/Pr1kIRLRSkUYa1oEDqXDfgZD8e4vPXWW3Fz8m7dunH33XdzwgknZM9tRwOu3OQ9i+VAo+YdACLMTTmiXz8e+ec/Wbp0GaefdkY20U5w7Akn8sADD7B02TLWf7qBqoxHXl59jjzqKHoc1jNsShWEK7SKbdsYMHAgHTp25vQzziAvmYebSKAN9O/XjwklJXy05iOMNmi9KzNNEAQeruNyzDHHMG7cWLZvr0JKF62j1p2CQHsIAW3btsZxFFJIfO3TtFlTrvnt7znzjBHMn/c2WysqaNaiFUcdM5gOHTrgKonRhiAIyyjAsHTJMiorqxg0cACukwi7YMgdvYyNCS1BowWu6/D6628xpnAUb731FgMGDKC4uJjjjz++WitVqD5t1GI5EKlZscn2mJGO4ogj+tK8RQvmL1zI5m3baNSgQeiz0YZmLVpw6hlnkevIDbQhlc5kLzKJMZoGjRpz1rnnAxITePhBQCbjEWhBo0YNOGvE6UjAyzpcq0+tDEfgChG+xO7de9Cr95H/5gUYtPHCDnsydOQmEkkO79OPw/v0I4xpCTJBgKc1GIMjRKiM0mHrNxtYsuQ9mrdqQd++vamXlx2TEpiwF09gMELgKIE2htffeItRN41mwcI3GTRoEOPGjWPYsGH4vh+HwKs3XrcWjeXApUZ8NsLs9I0UtOvQkf5HHcXyZct5Z9E7CMJIlR9ohFR4mRSB78XhXN/zSLgOSkqkBDeh0IEmyKTBBGhAyrD6WQkIPJ9MxqPKC5DZ690IE5cpGBHWRgmpMEYiHYXWHlr7BEHYk9jzdVgEStTBLnwcIdDaIIVCa0Ogw37FfuCRCXy0MUgEruPg+V62CFOybPn7vP7WfI4/6QQ6d2kbr+pUdIKRg1dK5i9YQHFxMQsWzqd3796MHz+eYcOGVestDMS9bKzQWA50akRsZHwdGIwOSxiaNG/GOeeeQ1Xldl548QXKt1fGhYIy2x5UOir+BE8mEyglSSYcEkqiyLazzIZ6ZXZf103guA5SZttPKBWmwJDbIEoikAgUAgchnPD7nNYLQgiUzIqU0UiZHdqGwlFhr+RwCaSQQuCoBEo6KCFRUuI6YQRLEPpjyrds5sUXXybtwxlnDKfZIfUR2oRWTTa5T0qJchLMm/cvxo0r4o23XqdXn17ccsstDBs2LE7YSyaT8XtrHcGWukLNj3IRsW3B4MGD+e0119CgYWNSlZU0rpePdMKWCVLs0LnoYpI7XVRGKOL8WhEui6qPRTGoXKEjm/cDRNVRBhDSYKLzikon4nlQ2QLOrHUWWhZh10EMyGytlZChf0fmpBUFfoAwhiAwpDI+TVu24rqRIxly/HFoky0KRZDxPVzHQRh4a96bFBaO5ZVXXqXfgAGUlpZyyg+GopT6VmNyKzSWukTNO4hDZSDQPvUbNuS3v70aKR2Um4gzbL8fu7tPmI0cGmsi51x2PoZmR0349/m54lv3pBBIpUin0zQ+5FCuvOrXgAkbdlVV4boOCBlaT1rz2ptvMmr0aObN/xf9BxxFcekETjnlZAiCan4a65+x1EVqRGxyLwsjIAg80mmP/Px6CCHJZHwIdBgm/o79dqCrbREJ1LebmUePZeuKdn7+W73Pd7QMDXfeebqlCLepdna7PsPoMEEQ4LoueXl5BNogtCYvPw9tNI6SSCFJVVZRv3593nzjLUaPHsO8f82jZ5/eFE+YwPEnHE8gQidztMQMgiDuzmex1CX2yl+0Ui7JPEEqXYXjJHDdROyIrVlMtXs6jkiJ+KnvMhD2zG4ID+4ohTHgZXyU45CXn08mkyHQPghDwnGpX78+7779DrfcfDNvv72Ivkf0o3BsIaecfAo+upoVkzsvy2Kpa+yFpL7ItwJ5yTwEikDrsCZIQ46rppqH5d8tbQxiJ+um+t5A7NfJFZtvr6S+a3TKzpbM/yFHYseRgsDHcR2EkGhtcN0EyggyXhpHSubP/xdFRUW8/OLLHNGvH+PGj+fU004lwOBnfBQi28Wdap327ARLS12jRsTGiGgpI0LHKhJHuoQzkaKoz7+zJb69bMnty7Vjm13dB4nJ/uzsc7u8TqMHv8N7tNt+knC7IAjbgZLttGd0gHQclHCon3R5/Y3XGT9uPHPnzmXgwIGMGzuOU4adjKsU+D6N8vIJdiEqO491sVjqAnthGZX1sewi2rR3+e5hb7vatiaIku7CiuzshAffx3XDEoSbbryJefPm0bt3byZOnMiJJ54YN75S2X3VLqwX6xy21EWsnb4HSCnxPC8etRJZKPPmzaOgoID58+fTrVs3pkyZwtChQ+PtIz+NjTpZDias2OwBUWvO3ALJBQsWUFhYyGuvvUb//v3561//yg9/+MN4+yi8HWVO2yWT5WDBis0eIIQgnU7jui7GGF5//XVuuukmXn31VXr16kVRURFDhgzBGEM6nY5zaHzft9MqLQcdVmx2k6jVQ+593/dp2LAhnuexcOFCiouLefPNN+ncuTOlpaWcfvrpKKXiEgQhwt410Q2Ix7FYLHUdmzm2G0TD4oBYPKL7AIsWLWLUqFG89tpr9OjRg+LiYoYPHw6EuTPRXCf4dglCbh2UxVKXsWKzm0QO4Nzlj5SS+fPnU1JSwhtvvMGRRx7JmDFjOPvss2NncTKZtIl6Fgt2GbVb7DwILnIIz58/nzFjxjB79mz69OnDuHHjOOuss3AcJ/bLRCKVuwyzWA5GrGWzm+Q2snIch0WLFjFmzBjmzJlDly5dGD9+PGeffXbcJiLyyUSjV6LWnhbLwYr9699NoskGUkreeecdSkpKePXVV+ncuTOTJ09mxIgR4RiXqqpdWjBWaCwHO9ay2Yko/yXK9I2slMhXs3jxYsaNG8dLL71Ev379GDlyJOecc061PjuRFbNzD2GbwGc5mLFik4PWOs4I9jwvtmYiAXrnnXe4/vrrefPNN+nTpw8FBQWceuqpSCnjaFUkMrua72SxHMxYsdmJSCwioQmCgEQiwZIlSxg7diyvv/46PXv2ZMKECYwYMSLeJrJ+7HLJYtk19srIISol8H0/tmiUUixZsoSioiJmz55Nz549KSws5LTTTkNKGfavyZYd2KiTxfLdWMtmJ3KtGiklS5YsYfz48cycOZO+ffsyduxYzj33XIwxZDIZEolEbN3Ylp4Wy3djxWYncqcvzJ8/n8LCQl5//XUOO+wwiouLOeusszDGVBOX3P2i+xaLpToHrdgEQRD3EAbwPA/XdWOheOeddxg7diyvvfYa7du3p6ioKC5B0FrH+4EVGotldzgoxSY3pJ1KpeLCyChs/e6771JYWMirr75K69atKSgo4MwzzySRCMfQOI4TWzTWIWyx7B4HpdhElkgkOJGPBmDx4sUUFBQwZ84cOnTowC233MKPfvSjeK5TFHWy9U4Wy/fjoPxYzvXLOI4Tt3l49913GTlyJLNnz6Zz585MmjSJESNGkEgkqomLHR5nsXx/DkqxgR2CEeXRLF++nLFjx/Lyyy/TvXt3CgsLGTFiRFzXFC2dPM+L97chbotl9zkoxOa7apWiZdEHH3xASUkJM2fOpEePHowePZqLLrooTvCLfDy5+9kQt8Xy/TgofDZRol1uqBrAdV1WrFjBhAkTePbZZ+nWrRujRo3iJz/5SVy1nU6n41yaSFyi1hEWi2X3qfOWjed51eqbonaeQggWL17MDTfcwGOPPUanTp0oKirioosuimujcsPZueKyc5GlxWL599R5sYmEJje713VdVq5cSUFBATNmzKBt27YUFBTw4x//OPbFRFGnZDJJEAT7+mVYLAc8dV5slFJxRXYUsl6xYgXjx4/nhRdeoG3btowfP54LLrgAKSVKqdgvk+sMtlgse0ad99n42QmVAIlEghUrVlBSUsLTTz8dT0E499xz4+2jCJVSKm5ubqNOFsueU6fEJrdOKSLqB+y6Lu+//z433XQTM2fOjMPb55xzTrWl1q6cwDZ5z2LZc+rUMirXCWyMiQVDKcXq1asZPXo0zz33HJ06deKGG27g/PPPr9aDJgiC2BkcLadys4stFst/Tp0Rm1yhiOZpR7kxH3zwAQUFBTzzzDN0796dgoICLr744moWSyQsFotl71BnllE7d8yLIkorVqzgxhtvZNasWbRv3z52BkdLJ9d1yWQy1aq4LRZLzVNnLJvcXJjI97J48WKuvfZaXnrpJVq1akVJSQnnnntuHMqOOvNZLJa9T5250iIBiZzEq1atori4mDlz5nDIIYcwatQozjvvvDgzWAgRD5KLCi1tPo3Fsvc4IJdRuaHo3IiR7wUYYfjww48oLBzLc889T+vWrbnpppu4/PKf47ouUgoMAiHCUHiUTRxVgH83GogcxQJyo+Gx/9hkb9ltTa4PyIAwQJDdxgEjd9rfYqm7HJBiE/lkorYPYURJ4SYc1ny0jqLxJTz99LO0a9eOwsIxXHTRBYSapAkvdB8hQh/N/y0wEQaDnxUHybfEJrsNBCA04IVCYyTorJJIQPhAJnseeWBcMAJh/dKWg4ADUmx2FYqWUrDy/dWUlJTy2GOP0q59W8aPH8cFF5xPMpnE9zOh4AhQ6j952btrfogd2+bc3elswVhzxnJwcUCKTYRSKp5wsPbjTxg1ajTPPjudFi1bMHLk9Vx88UUopfC8DMlkAmM0GIMQe3sKguC7lUbmbGOxHDwckGITLaOihuWrV6+mtHQiM2fNpE3bVtxwww1cdtnPYjFxXZcg0Ggdbr8j0/j7/NT/S0BytwFQVPO9x7tIwrfchA9avbEcRBxwYpNbkuC6Lh988AFFRUU8+eSTtG7dljFjRnPxxReTl5eXbXplcByJEGGYW+twf6W+ZyDO5AqN2UmpIgdO5MvJ+nVytxOEPhyRFZpoGys4loOE/VZsIgdwFCmK7kdNsKSUrF69mhtvvJFnn32WVq1aMWbMaC699FISiQSZTCZbciAIAp1t7wlCRELwfRCE1kokKmHEKbKcfF/HW0ZJheE0TUilt5FIJFHSwfej16MQgtiPJERYGhHNF8/NZI5KLmzJhOVAZ7/Ns4kmUhpjSKfTaK3jMLWUklWrVjFmzBhmzJhBy5YtmTTpFi677Kc4jiIIfJLJZNaS2VH7FEWuMmkvtnD2lK3lW3POWRIEmnTax5hQMJN5CQLtU1m1HSHAaEkmHWAMBIGPUqHVFU16gLA74M41XkEQkMlk4hIMi+VAY7+2bKILa+fM4DVr1jBx4kSmT59Os2bNGDNmDGeffTae55FIJJBSUF5exmuvvYGUkuOOG0KDBg3ROkDK0IoQ39e6MWSXRNk8GmHQxlAvP49Qy0Qsanl5CYwOyGSqUA5s2bKJN9+YT8vm7Th64KAdxZ3CxxiJMSLuneO6bjyfKvc1R++DtXAsByr7tWWTO0wuKrRct24dRUVFPPTQQ7Rq1Yri4mIuu+wykskEiYSLMQFSChYvXsr111/P22+/TTKZQAgIfA1GIGXN+EqMCa0m3/f48ssveXvRuyxZvJzNG7cCimQyHyE05Vu38PeHHuTOu6ayefMm3ITItr1w8Pw0GEgmk/z/9s48TIrq3vufc6qqu2d6FmYYdgQUGDZBURB3g5F4lfjGCDExRsLjghK9QYKIJG7x+qjB982bGJMnxOXewFUBNWgS82LMjfF6jXEJbgFkHVYHAZVhmJnurqpz3j+qT03N0ENgZkDQ+vLwwPRUn67qqvrWb/3+UqlUSERR99FM74zJJsbRjCOWbEwg2Cjt2bbN2rVrmTVrFgsWLAgV9i6//PJQEkJIjUbT2NTAyy//BSEF48ePp7i4GK1MPEXn098d30cpLZT2aWhoZP78X3HJpMl89ZJJ/PnPL+etGy+t0gAAHUtJREFUHYXCpe8xvTn11FN59513eWv5ewAoXyMRWJbA832WL1/O/Pnz+fnPf84777zTYpqDyAeeYxGvGEczjlg3CghjNrZts27dOu68806efvppunXrxqxZs7j00kuxbTsfm/HwvSypZIpt27bx11f/xvDhIxg+fARKgUaAEAg0Qsow+6y0RgphfiyI5ns8aEcIgtUa5QeVy2+88ToLFy6krm43e/bsZdeunfhao7WPY1nYls3ZZ53Nfzy6iD/96b85d/wXSCQtNC5K+yxdupSHH34IrTVNTU08/fTTTJ06lYsvvph0Oo2QEqkLFC3HiHEU4YiwbIyrYAKi0f9blsXq1au56667WLJkCVVVVcyZM4fLL7883+sUBFfRLrZ0wa1j7erVrK7ZyejRJ1NaVoySPg22IOfWo3WGnA9K+/hakXWzZNwcWS9H1vfwAB8dEIxpZfI02tNolUPrRjyvHuVqPBf21O3ll7/8v/Tt242vXzqJlFOBSmhcqfG1A9pB4DDw2GM4/vjevPTiX9iwbgvS0SiZ4/0NK/jFL37BF8aP5+FHHuHxJ57g7HPO5pFHH2bt+nUoNJ7voYXA17FEaYyjF0cE2Zhua/NvNFazevVq7rjjDp566il69OjBD3/4Q6ZNm0aXLl1azIKyHRvbscHNsPqd92jY6zJ82PEkEg6NTQ1ooZHSRUoPaYEXDp4T5DwP1/PRgOt7+Cpwx4JcOQgZuDEChdI5wENpTcJJsuA/FrJi5SquvubbjBgxHJSFsKy8JSUxPRJdKys4/vhq1q5dx1tvrwEtUXi8+97b+FpxxZQrOHbAAPr378+kyZORlk1NTU3oTsUkE+NoxxFBNtAy1W3bNrZts3LlSmbPns2zzz5LSUkJd9xxB1OnTm2RnTJZHN9T4EM257N+7TrKKyro278/AotkMkldXT23zvkBF3zhAp797e9J2PlKYiFoamxi7ty5TJ06lcbGhpAjdN680fkaPKU90Bopg1G8y5e/zc9+9iBjxpzIxIkX4PsuvvZpXWmslcZOlnDsgF5o3cSa1WtpyjTha59czqOqqoqysjI85dPY1JjPqLVM23u+FweIYxzVOCLIJsjoBDeTqanZtGkT99xzD7/73e8oKytjzpw5TJkyhUQiQXFxcZitsiwLx3FQWoC2+WTHJyx/ewWVVT0oSZeSczOgNRVlJZx84jBWv/8Gjzw0n5qNm5HSIekk+M1vnmXhr/+TESNHkkolECgCZ8oFnUXoHEC+GC+QomhqbOJnP3uQTCbHnDk3UVZaSjaTQys/IIZ9jlLQrVsF5eVpNqyvoX5PI0I4VFV1Z/OmzaxcuQpbWqRSKWpra5FSUlZWFnyeZeJSQbo9RoyjEUdMgDio8NUUFRVRU1PDvHnzePbZZ+nTpw/Tp09n2rRpoU6wieeYlLgRwALFno92s65mE2MmjCNdnCbhJGnMNqBsmwu+PJE3Xn2Ff3/yzzz+2BJmzprJuvVreeCBBzj9zDP52uSvkXSSBBIQilDET4PyA3dKSgutNMuWPc8rr/yVGTNu5PgRx5PLuRSni/JFeq0DzoGF1KtXT7p1q2J9TQ2ZTJYedGXwwCH0638MDz30KzZurCGbzfLyyy8zePBgRo0aBYCvfLTSSEvG3Q0xjlocdrJpq/zeuFE7duzg3nvv5YknnqCyspJZs2YxdepU0ul0+N5o/MK4GcpXSCHJZXM01DdSVlqG7ThAoDOcUYryrhVMn3EDb67YypNLFjO4eghPLHqCPXvqufLKq+jfrx8KhY1A4DQX8QmBnQKlgpc2btrME08sYfiw4/nWN69ASgchjFaOHx5bQDgqn0XyKC0vpbS0lB07PqF+bxM+gv79B3HLLXN58sklvPDCC+RyOYYPH86kSybRvXv3ZldK5ls44naqGEcpDjvZGKvExFtMn5OUki1btnDrrbeyaNEiKisrufnmm5k6dSrJZLKFJERUN7h5zhMgJbmsi6810rZwpMD3XJCBK6LcHAOrq7nummuYe+vdfP+229i2qYabbrmZL573RWzbQmufd957h+f/3x+or69Hah+0TVFRd746+VyGDh3Ac8/9gXXr1/NvP7yPrlXdgHqkJfF8D8/38JVCAkoHsRbtC6ST328h0Aq8nMIHHCvJqePGMXLk8dTX12PbNuXl5SRsB4VuQcy6k+qDYsT4NHBYycbzvNANilopUko2bdrE3XffzYIFC+jZsyff+973uOKKK0in0+RyudBlakuHxhBQLj/GBZ1veDRpbHTQZYDmjDPO5KQxo1m69CnSpZVMmjyJdLoYz/ewLcGmzRt57LHHWb9uPUUJm1xO0617P8adNoRUSvDU00sZPGgoffr2ZdeuXeT8WjzPZefOHQip2bN7N5u27qCypAvlpeBrD0dI0ApLWgEZWRKtQMpAcqKkOE1JcZr8nob2UPRYhWgZeI4R42jCYSWb6Ghb3/fDGMyGDRuYN28eixYtomvXrtx8881cc801JBKJcDyL2d70P+0DrdDKI5lKggjiHL7nI+00uE0IqUBKyGRYteJ9ardtpf+AgXy8+2OeeeY39Ov/XVKpJErD2Wedw6JFi/FcD5SPVgLHSTF4WG/+53/+m40bN7Jn90ZWrvx20Ppg1SGEpm53PaD4xQMPsGDBk9w2926+9Y1xWE7Qae5rhef7WNLGtiy0AqQwpYKH81TEiHHYcVjJxrIsMplMWPULsHnzZu69914WLlxIZWUlt912G1dddVUo1RBtQtz/2JWgYre4opTilEPdxx/heUFaXEobW9pILLbv2MnDDz1EcXGK++bdw49+9CMW/PrfOXH0KCZMmIDAoaysgoryri1sCO0phJ2hevAg7rj9Dj7amUMriRQKZdUBPi/++a8s+8MrnHbmWZx8yhkMHTogID7PR0qHvXvqqavbQ2VlNUWpoiCFHlsqMT4nOKxk4/s+yWQyTFnX1NRw55138vjjj1NZWck999zDZZddtk8lsVHXa9OqgaD4ztKUl5cytHow2z/YRn1DPVCJyJf65+rqWfzIAv72yuvMuXMukyZ9FSFg+g3TWbT4CU4++WR69egVrKc0Wge94a7rB26P59KzV0+mTJkCXhKEhe9rtPUJCIXyJcv+8Apnf+Fspl17DcIF39udL8zz2bxlE7t27GTkOReQTpdgSQvPB8uKrZoYn30csjobQxjm/9AskaC1ZuvWrcybN4/HHnssbEGYPHkylhUU4UEwasVYOJZltU00wYeAgtLyLgwfOZxPdm6j7uOPCWMcns9LL77M/T99kHFnnM6kSZMRAr4++VL+5Uvn88zTv+HJRYvxPBfl+0GljQqqiqUtUNpHaYGUQbAaKRBSkM35OE4Rbk6jtUSRw7HsUKvPcRIknASg2bmjiT31jRw3qAepIodYmibG5wmHjGxMy4GxUDzPC0lny5Yt3HPPPTz66KNUVlZy0003cfXVV5NIJMK4TlSl78CmVgYB4WRFT/oPGkBjXQ0bN6/GdV18pWmo+4TnXllOv9Gn842rr6BXn97owMti9szZnHPG2bz211fZvesjLA1ohbQESI1G4SRsEk4ZUpRgWSVI20ILRaJIo/wUliyjsrIXQ4cOprKsjASQsDXgIIRNrinH5g270exl1Mk9KE4n8oFykIgD/hs7XTGOVhxSN8q0H5jSe8uyQj2axYsXU1paGrYJlJaWhpot7Vaj0xrbsjjhhBMpKk7zj3+s4CsXX4xt2xSn03zzsm/yrW9dwaDBg4NK3HxLwtChQ/nJT35CfX096XQ6NIaihNcWbMvG8zyklEyYcB7Dhg1lYPUQfKWxwpl2kh07d/Dm3//OoMGDGTpkGLYtUKbZM0aMzwEOGdmY4K6xUhKJBB988AEzZ87kt7/9Lel0mltuuYUbbrgh3M5km4JpCH6L3qB/Dh10RnseI0ceT/WQav6+/O/U1dXRrVs3UkmbU8aORWlNUzYb6P2KQCEvmUwybNiwFrrHhaZu7vOJETKyLIv+/fszYMCAYBSeBo3C93ws22L9uhpWrVrNVydPZsCA/igNvoJ2jbCKEeMoxCFzo6JjcaWUrFu3jh/84Af8/ve/p6ioiJkzZ3LDDTeEmano9ubfg2o6FALl+yAEVd2qOOP001mzZg3vvvsuQsogQOwFBXcJxwkEtPKWl3H1XNdt4f4ZtEV4UUU98z6l/DzRAhpc16Nh715effU1Eqkk544fT1l5BUppmjJebNnE+NzgkJFN1IXavHkz8+bNY8mSJaTTaWbNmsVNN90Ujlsx1g80K/NB2xZFYTRbGMlEknPPPZcuXbrw0ksvsbd+L1JIlPLDdLhl2/sEsc1kAxMnipJIW8do6oaaCVMghcgLa0ksx2LXRx/zxt+XM/aUcZwy7rTgzUqTsI6QTtgYMQ4DOtWIN+RgbkCA7du3c//997Nw4UJKS0uZOXMm06dPp6ioKNSvic7bFkLsP+vUJjQy/5lCSk484QR+9KN5+fUtEIQpdAVYQqKVIplMhm5cIWFxQyKF9GSipNTidQSgQCtsy6FLlwqumXYt3bp3o1uP7qCDccFJaTePkYoR4zOOTiEbcyOaQKlxO3bs2MGdd97J/Pnz6d69O7Nnz+a6664jlUrheR6JRKJF4V5nojid5rzzvthsuZAnQyHyaWkRkhM0u2+t8c/2zRxri+20DgS38q2YZWXlfOlfzs9rCQu06XmKA8QxPkfoFLIxlklU/qG2tpZ58+bx8MMP07VrV77zne9w5ZVXht3biUQiJKdDA13QGjk80Ig8i6g8B6m8oJZAhDU4MWJ8ntApZGPU8kx25sMPP+THP/4x8+fPp6KightvvJHrr7+e8vLyMNtkYiTR9312UIjk4ibKGJ9vdArZmICuZVns3LmT++67j0ceeYSKigq+//3vM2XKFIqLi0OXyaS0P9ujZQN946DPXKDzoeDP4pHGiHEg6BDZGIvEuFEffvghc+fOZfHixRQVFTFnzhyuvfbasGsbmmMj0VjNZ8+yMdAEM8JjxIjRIbIxBGHIZtGiRezcuZOysjJmzJjBt7/97TAF3romxWRy2lMt3Hosb4BgZnaL/Wvx/5YinW3PiNIt9i/6eYW2LYTgmPOZLd1s30T3SUe8qvY0IUQJuvD3cWBrGHS2hdlWX1x79u1AXj84RB9uzQ+84BoKNwkhCoQVo8dnzoW51jsD0fMbfSgfDEwWtXUl/MGsE83EmlKWxsZG9u7dS1lZGalUKvx9NKMbfa8xMDrFjcrlAkHwbdu2UVVVxcyZM7n++uuDiQGeF8ZoWhfumR062Iu8dVD5YC2j/W1panX293kH9Bn7pMM7F9GLoL1EcaisyWgV9oG0fLS1RqE1OyOhoJQXWd/cgIK2li50c7Y+NlMY2lnfaevvrz1EZsIVrR9KB7sf0f0BWLFiBQ8++CDDhg3joosuYuDAgaGaQ9S4iCo1WJbVOWTTq1cvSkpKkFIybdo0LrvsMhoaGmhqamrR62RuZHPBRG+Wg0Frpm0rbX2wMOs6jrPPzXygJzq6b1FyjV6UrXEwx29qmIw12R4X1FzE5r3Rc9JRmJvOfIftPTfRi7azEagj/hOINn8IXjkMbn/rz+joOWrvPreW483lcrz55ps89thjLF26lEsuuYSJEycycOBAbNsO69bM7LewPER3wO4z3dyNjY3cfvvt/OpXvyKdTrdIgZudNB+YTCZJJpP7iGMdzIGb9U0BYCqVCi/ujkAIQVFRUbhee8nQkIsxIZPJJIlEAsdxOrR/Zu1kMkkqlWrx1Dooy67Ad+g4DkVFRZ1yQZtzbM6JeeAc6KUW3T8IyD+RSHTad6i0i2VJHNtBCJMRhbbcqEJmqXG3zQPPtu1OI+3omoX0tg90jeh3bkYetXf/zPXsOA6vvfYas2fPZtWqVUBwT48YMYLLL7+cr3/96/To0aNFphkCDuiQZWPK+z3Po1evXvTq1Yu6urrwA0ynt+/7YYA4m82G5mZ7fdHolEhjYhri6wwUIkGz/weC6BM5Sljt7maPcchgTnPzJdj6hs5Xg+/zvmZLVUpJIpFoQbAdgZSyxQMq2vpzMIQdtQ5t2w4fotGK/X8Gc90ba8VxHOrq6ti6dWtIXK7rsnz5cpYvX86jjz7KtGnTuOiii+jXr1+oO95usmntkyeTSS688EJGjBhBY2NjSDBAC7NKCEEulyOXy4VD6dpzYqJffOv1OgqtNZlMBtd1271e1Jf3fZ9svst8f9sfKKSU5HK5kLQN2mMhRr9DMxywM6CUoqmpKTwn7bUQzfae57U43o4EYfPRC3w/WFMQTMGQ0gjxm3MXJBx83wtUGiPHYBQKorEa8925RnC/AzBrZrNZGhsbO7SW2UejJ3WwD+WolWn0wHO5HA0NDS3Iz3zOunXrWLp0KdXV1fTp06eFy3/AbpQhi9bs2jpz82mhs7IAzd3b7b/xWu9LoU7yjqxtmlc7uk40cNjZ+xhtru2M9Tpz/9AuuVyWpkwWKWT+2jaxnCBvKJFIy8JzXUR+8GB0Okj0QamUIpfLkclkOiWrFyUFQ17tDbKb+9L3fTKZDLlc7qDiaFGZF1P5v2LFCh566CG2bdtGKpUik8mQSCQYM2YMX/nKVxg/fjxDhgyhpKQkXOegLBtzoK0vomh3dNR9MiwYdXOMz3co0FkBO+MaxvgsIxiWAwI324htOwgr0vxrrm/RsURGR9AZBa+FAuwHS9bR7U0Msnv37ixdupTa2loymQzV1dXMmDGD888/n759+5JMJluESswaB+1GGcsmmls3rwOhf9jaAjoSrJ8YMQC0dkH7CBHEG3Ouxwdb15JpakILC5Bo5WNbNl0qu1JZ1ZVEIhFe057n7RP36Mxru7MswkJE1V5XNgoTvB44cCBTpkzh0ksv5bjjjguLd1srbh50NioaeY/WFHie12LgnBCCVCoF0MLSgXYIYsWIcQigvCbAR1o2vufz+mtvcOONM1n9/upA5yg/ZjmZSFI9dChfPP98LrzgAkaNGhU+NE3yA5rjFZ0V84reI4WK+9qzjlkr6lodKFrXz6xZs4ZXX32V0aNHM3z48BbJkGgWtnWdz0FYNgLPc8PoeG1tLStXruSll15izZo17N69m3Q6zahRoxg7diyjTzqJPr17h6Rk5dXyYsT41CECqQ+0Bq2p272b2tpaqrpWcsEFF1BSUko2k+P91e+zYuUq7rv3Pt55+x1uu+0HjBgxAqV8ZF4PScjmFG97YyttoaNFm4UqyzvDLTv22GMZMGBAWOMWDdxHa+jM77TW2La9L9no/GxGQV5vBQXCBTS2FdTLPL/sBeY//Ev+609/Yk/dnnztR4JsNsczzzxDSTrN2Wedxdxb5nLmWWfiKo2fH0gZS+7G+LQhLQvl+mgk0vYRfhaRyVB92unc9P1bOaZnD1wvh1KC9979B9+dcR3PLH2a7j16c9fd/0ZRcZqkIxACBDmC+WKdG+trbd20tyatUDawvRaY2QcTd40Wh0aLa02M1hSgthmzcQlmJdnaRioADyE/QgoBlLJ0yXPMnnsHGzav4qSxIzlr7Dn0OaYPTsqioamBLes38vorr/LismXs3LSN+3/6U06fMJ56V1MsBHbsRcX41CEQdhEg0dRRTCPlnkuupAsUlyMTKZJODi1KOPnUk5n1r5dz9fS5PPfHV/jGVbWcOHoIWXwc4WFRDyTQugiUHYimdfI13lFrqbMqkVvHqcx+FVqvdUsSFCAbGbYMhpsCFgib119/k7vuupstW7YxadLXuPF70zh9zDl5VboA2aY6Xvvbqzww76c8t2wZ982bx08HDab3sX3zllKMGEcCor1R+ae/74eva6XwhY8UggHHDqB6SDVvvrWKLZu3M+6kIUFtDkAshXbAaJPiDDEEGrk22cYGnlzyFJs3baN//+OYddMtjBl7GloHRVeeypFTGRKpJKeOG8fVV19Fvz7H8PLLL7Ns2R+DD4vPSYwjGSJPHL4O4jEiaNBEOFiWAwhsqzlYG2guBtkrgUALgY6v8TbRNtlAnuQF4LCpZjOr31/Dnr31XPqNSznhhOGgZYseEtfzUFqRSBYxdtwpnDB6NA3ZBt56azkf766LJwnEOMJhnrACadkIIVFaULe3kdra7QyoHkSfft3xw00FwS0UX9kHgn2+JYFE7mMWSrZuq2Xt+g14uEyceDGuZ6G0FfFRRdDYpiCbzVBaUcGpp5xCSibZsGEDH+3afVgOKEaMdkGTL+YzAkQCz/NZt3Y9//nrJWzZtpOJE8/nuP79gxnt2jyQrUDEXgiUjOME+0OB5JA24xwDCAH47Kmrp6nRJWWXU1lZRiol8EzVsNaBBaqDbFayqAid8ejTuw+WlOz4cAf19Xtj/o9xREAXKMKwbIvt27fzlxdfYlBVJXubalmxppbX//YGz/3md4wZczITJpxLRXkRnq/yMYGoZRNRQ4tREAXIJk/b2orMNPJpzDThK0WPXj0pKrZxfVMdKBDSRuWDaVJYgEY4Ccq6lGPbNvX19TRlM4fvqGLEOAgIBAknwXv/eI+Z351BWnn4op66vZrS0nIuvPAirrxuOqd+4Ww8rUBoLEBoCTqvKyRBobFiwmkTBbJRfjDXCCdP1hp00CXreh7SVmRcBTIfPCuE/INDaY2vFI6TwIqHWsc4guErn6qevTnjpFMoQ4Gdofcx1Zx66hmcOXYMpZUV+E5wdwR+lIXQInCjRN4LQ6HzweIY+6Jtywadr7IEpKCkpAQn4bD1g61kMsG8J0/7ER2QCKRE5Vx2fPghOTdH16oqSkvScQVxjCMWOdflhBNH85MHf0K/ii7Nv9CgfIWrfZTvIa2gmE+aAYN561+HP8RoC4WknBGoiAsauEulZcWkUg5aK3Z99BE5j/0yeFNThg3r1qO1pm/fPnQpLz8kBxAjRqdAa3zPQ7kafI3yduNrl6yr0L7I6934KO0i8NHaVOGK8K+KyWa/KEg2LRk6aMfv2auKXr27AZoX/vQCWu9PT0Wze9dO3np7OT4+I0aMoEf3qgJ6ZzFiHAnQCK2RQuZrZwhjvUIKhB1MMhWCfIvC4ZWb+KxgX7LRxaBLghIa20NbAihh4KCTGH3SaOxEhmcWP8z29eso1hL8LDrTiOVrZFahPItsBn73X3/hxdffZMioExl/3jkU2yKeoBTjyIC2USp4qLq5NHtkBR8miijxc5Q6Ci3AV8WgJI4lkBbYlqDISlFEEY5IYkkrqOezAQkWghR2gbKRGAYFLJt9U3gaQTJVzIQvTaDfMX3ZsGEtt992O++8/TYNjY0oIXCzWZTS7ProYxYvWsy8+/83Wd9j4pe/zOmnjcNXGl/FZmaMTx+BEoFpGkzgC4uMr/ByWbTyETJwm6SU+F6znKuI/GkNwf7DCjHaasJuQ03+vC+ex8yZM/nx/3mAp55+ivdXreLcs06jW88e2LZDY1OG9/6xguef/yNFJcVcO+1qZs74V2xpkXM9HCe2bWJ8+jBaK0G3sqAknWbQwIFUVXXDz5d0hPIMseBbp2Ef8azmnzQIHxMgVr7Ka1PAc889z4IFC1m1ciU169fiRiyWHt27M3LkSCb+r4v4ysWT6NGrB4jgaeBIiR03SMX4lGHE7KWUeJ5HfX09NTU1FBcXM2DAgHCompFPiGViOwcFyMb8qEGYkSl+wPhakMlmSBeXsWfPHt59913e/Ntr7Ni+Hc93KS4p4aQxYznjjDMor6gIgmhS4vo+vlIkbYeEFT8pYny6aK2j3XqCQFRvO9ak7jwUIBtTZxPdSuG5Xt7qMdoaAsdJUAhGCd9XCsu2grYGpXFsGzs2S2N8yjAuUlTa0whUmYGKZtxJR6Z6xmiJAhrERtMjSgo6r6CoQxUuIQikEX0JAoTQaKXRslmLWEgZFDtpUCikKNTkGSPG4UVbUwcKyXpGR5nE6BgKkI1HWBbZZvt8npA0KJWPMYfnJ6p72rJmRxi9kBgxYnzu8E8altoiBh3+OnwIhJvGZBIjRox9UVhiIrRs9odgO9OL2fbWOiI0Grfhx4jxecX/B5OC8ibuJkq7AAAAAElFTkSuQmCC)
Ray OQ bisects ∠𝑃𝑂𝑅. Find the value of x.
![](data:image/png;base64,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)
Maths-General
Maths-
Identify all pairs of congruent angles and congruent segments.
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)
Identify all pairs of congruent angles and congruent segments.
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)
Maths-General
Maths-
∠𝐴 & ∠𝐵 are complementary. ∠𝐵 & ∠𝐶 are complementary. Prove: ∠𝐴 ≅ ∠𝐶
∠𝐴 & ∠𝐵 are complementary. ∠𝐵 & ∠𝐶 are complementary. Prove: ∠𝐴 ≅ ∠𝐶
Maths-General
Maths-
Given: Ray OR bisects ∠𝑃𝑂𝑆.
Prove: 𝑚∠1 = 𝑚∠2
![](data:image/png;base64,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)
Given: Ray OR bisects ∠𝑃𝑂𝑆.
Prove: 𝑚∠1 = 𝑚∠2
![](data:image/png;base64,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)
Maths-General
Maths-
Solve the following by using the method of substitution
Y = - 2X-3
Y = - X-4
Solve the following by using the method of substitution
Y = - 2X-3
Y = - X-4
Maths-General
Maths-
Solve the system of equations by elimination :
X - 2Y = 1
2X + 3Y= - 12
Solve the system of equations by elimination :
X - 2Y = 1
2X + 3Y= - 12
Maths-General
Maths-
Solve the equation. Write a reason for each step.
𝑥 − 2 + 3(𝑥 + 2) = 3𝑥 + 10
Solve the equation. Write a reason for each step.
𝑥 − 2 + 3(𝑥 + 2) = 3𝑥 + 10
Maths-General
Maths-
Use Substitution to solve each system of equations :
6X - 3Y = -6
Y = 2X + 2
Use Substitution to solve each system of equations :
6X - 3Y = -6
Y = 2X + 2
Maths-General
Maths-
Given: 𝑚∠𝑃 = 30°, 𝑚∠𝑄 = 30° , 𝑚∠𝑄 = 𝑚∠𝑅
Prove: 𝑚∠𝑃 ≅ 𝑚∠𝑅 = 30°
Given: 𝑚∠𝑃 = 30°, 𝑚∠𝑄 = 30° , 𝑚∠𝑄 = 𝑚∠𝑅
Prove: 𝑚∠𝑃 ≅ 𝑚∠𝑅 = 30°
Maths-General
Maths-
Use the given information and the diagram to prove the statement.
Given: 𝑚∠𝑃𝑀𝐶 + 𝑚∠𝑃𝑀𝐷 = 180° and 𝑚∠𝑃𝑀𝐶 = 150°
Prove: 𝑚∠𝑃𝑀𝐷 = 30°
![](data:image/png;base64,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)
Use the given information and the diagram to prove the statement.
Given: 𝑚∠𝑃𝑀𝐶 + 𝑚∠𝑃𝑀𝐷 = 180° and 𝑚∠𝑃𝑀𝐶 = 150°
Prove: 𝑚∠𝑃𝑀𝐷 = 30°
![](data:image/png;base64,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)
Maths-General
Maths-
Solve the system of equations by elimination :
3X + 2Y = 8
X + 4Y = - 4
Solve the system of equations by elimination :
3X + 2Y = 8
X + 4Y = - 4
Maths-General
Maths-
Give a two-column proof.
Given:
![](data:image/png;base64,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)
Prove: PR = 25 in
Give a two-column proof.
Given:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAo8AAACjCAYAAADrYfQfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAIeeSURBVHhe7V0HgFXF2WXpXVBBxS6K2DUq0hQQ7Aoqotg1MYkxlthbEjWxd2PvvWLBrlgAKSoWsIBK72376/3858y8u/t2WXDJL8Ka78C3t82dmXvfnTNneiMYDAaDwWAwGAz1hIlHg8FgMBgMBkO9YeLRYDAYDAaDwVBvmHg0GAwGg8FgMNQbJh4NBoPBYDAYDPWGiUeDwWAwGAwGQ71h4tFgMBgMBoPBUG+YeDQYDAaDwWAw1BsmHg0Gg8FgMBgM9YaJR4PBYDAYDAZDvWHi0WAwGAwGg8FQb5h4NBgMBoPBYDDUGyYeDQaDwWAwGAz1holHg8FgMBgMBkO9YeLRYDAYDAaDwVBvmHg0GAwGg8FgMNQbJh4NBoPBYDAYDPWGiUeDwWAwGAwGQ71h4tFgMBgMBoPBUG+YeDQYDAaDwWAw1BsmHn9zyOW3QuH+6uC/vc9gMBjWdYjfAiuE8Z7BUF+YeGzwKCRCWYabLC3Y51a7/g+y2Swy6QwymSyyvEaXyPCSTPu5wA+31Rl/dkUTeL/8y6QZpNwVIHCShw4zDC9NdzKF/fMIwqpt2viwc3X6w6fg+RzfQ83rhX6szAwGQ93w6UNpKpPJIE0eURr058gUeVs15ECmtEkeyKdhZ/lrWXc+464LnmN07N05Z4UIvNQmcFMndF5+it+85XLkLpk7Drju5/xZXcifVZnB0PBg4rEBIiA2R245CcRCS5ED07T8Ps/leJzNaD+HVCqFSCSKWDyONAVkil7E6TxO9ZjidcpKUmiKxnuqTOdEtNUmotU2lUogGg0jlYzRf58RZOlvjlbIjaLlBDOAaDLlLOUEZLUTGe8qMPlVM8zA5DLLZ0om48xU+Fw8LjRlOjqvuKXT1dcL/dD9gVX7GzxX9fv9OTMY/jfANJVO5tNMBrFoFJFwhGksyXQAckkOSfEJE3UgInXeW/6EhKbSmTP6k0m6NJqhn2mmV1mW11I8H41HkGD6lnCMxxM0pXUJVt0nfxgleclws2mmRW6lNV3BmFYYdrXxPPmMTFdlmWwCqXSMYcd5XVzhuUDhuLAUZwWlsOphNcPzVv3MKzE9iMHQwGDisQFipcSUJfnVYelEFIlYmE5EjKRMEaOImGwX521RiUdyJF2TWiUfJR5XNF9K9+RaKL6SiRgSJPt4jKI0wv0YiT5FtyJyblXLKIpMcpsg8SuTId/TT4XHcEnQilOKmUdGtQ48t1Lx6Mhf8eBzMTPLMKNJpxNIMA7KiBRH3S3xKHGpaz4kE48Gw+pD3zi/9QzTeVBIZBpRoSzNgqhaMCQcEymla6VMn4pcKlQaF0UpnbgDpkOlszwv5bISo+IW+p2O0w8KOB5JnIailQhFKty+RKNMQk6F30xKfsgrclmCvJFg+hWh6D/DcebCDUxpOp/+HX9IOFL0ynLkj0wM8USIfkcZjsQs4+TC8gJS8ff7jBv9W5UVckNg7plXZYq4wdDAYOKxAWKlxJQn5dqWSUnQhSnw4hR6FFpJCisSsPjW1Tzy1iiJUeJO4pF0TG5e0QrFoxdu9J9XFLYTcHGFQxGXJCmTSVX7mEokmSmkKRpJ1Tyn2k3VTiRJzhKROp9ixpBi5pSm1U88Mj4kfS8OfTwkHCUg4/FoVY1koTiUj4X+mHg0GOoDfeNME0ybKaUtFhKV1lLJBDlEBTcW1MQj/BNjYTFBEys4EcnzgaDy6qpAPLLwl83EnWBLU7DFEhFEyFGqhVSYEpNxpmeJuKAWUP5IPErIuVpGCtZ4hPdG6A8FpGogMzTX8uHCDawg7dcSjxnGIZEKO/GYTpO70lHuR7jvw5FoFZyA/a/Fo547MPpX2xgTg6GhwcRjA0RNYiogoVqiscpI1LlM0jU1hUIhhMIk6mgcMZKjav0SZL1wMo0490nB9RaPykQkvhiIM53PSgA6QUdhlq95jNPvaJJET/JVzaMyGIUtU1O2+kKKPmX0JW8FhF9oLluS6EtSKEbyQlEk7wWkmtBdM7qrhawWiYVxLDwvC86ZeDQYasOnykD4ZFhIjDF9RcKVCIfDiMVYiFM6Z1qIuXTOdMh9l5p4ayCovLrKiydxkliGwjESraAIZaEvGUU4GuI25gSkT5NkAd4TY4FUzdbyp1pIStCRSxh+nFyWjPM8OSYRVUuIv15tBVxSSzwqDrF4pRONKpBKQMbiLGgn6Cefxdd4ko8C02PUskI++Dmr4upCc+/YYGhYMPHYALFSMqotGmk5kr3Ml/Qp+iTWaGomLgtFUEniFZUn6Nfq1DzKJCAl3rTPwOh/CvEY/awsQ6i83DVfq/YxQ4b1tY6q6dS+F5E6l+axZJ3o04vGwAoIv9CqyJ9xYiaj8COREDOyShcfV0PAeARxk5l4NBj+W/Ab1+AVpin1pRYHKJ0rjSmtxZjGyysptigglZbVquCLd9XiUenZpZVC8Sg+yvc3zFC0qalYzdbq66g0m1btJk1C0Qs4LyRdszWPXczopZqufR9rhkHvVQOZooh016qsOt3XFo/ZnMKIUcAq3Aj5UXyhuPmw1N8ykRCXqE8m46DHqGW1OWFV5p6/tjEmBkNDg4nHBoiVklFeMBZaViV5109JdO5pinc6KRUhKUZV+8j9KMk/QcIkTdMlM4g6rIqAFZaolyQv0aY+j8pQJMRE+BKQMQq6VIxhk/yTtDj9r6p5lHhl3OWLl3SMHc/FkyRyZVTuXAHhFxrj4Woe883WsZivaVRzte8f5eMg8RiYiUeD4b+HmqwzCRYEmZYK05ESqsRdjALLFQqZtpXOVUj8WfEoE6eQfRIUbZWhcloF4gn1O5RADAqGakWQW9U0kiPicSfo/Ehv+qvoFMD3eeSWwVVbAZfkw6TMdJZIhhGOlFU1W/sCssJOONPz+f6O5BbGv3b6X32THzXNYGiIMPHYAFFIRj8nHtMUV6l4mHd58ehIsA7CUrbgagIdvUpCrmhVBOws68jdiTbVSqwCjJkbzZ2QMXw1V7tMhuHpmmKjPo8xZlD1E48UqqqtyCjWNaFzMYpXiUa+FLf1wtILyMAfE48GQ/2gbihxirhMKs4j1QD6AlpdSDExr454pCKtEo9Kpz8HCUjVAqZSKiiKgyT08rWT8pomelNw1VbAJY7hFLY3iUZZbcRi6jtdk19qp/1fygyGhggTjw0QNYhHZBxYgWgUKWubqiUeHeGm1USUQmlFBabPnodpM+ehJBRx/R8pp2g1RWNd4pGe1zhWDeTCBXMxZ/ZMLFq0EIsXLsDi+fNRVlKKaCLpqFoiUVSpcJyAVK0nn0HnlcH4wTL1abb2GUCKmVlpaQkWL16A4uJlrvk6qHWUW4WmDElxU22GjgN/TDwaDPWD0lOUaSvtxKMg0eYHzESiUSxcuhQ/TJ+FBUuWMU2zwEoXdYpHp+ryPJXLm3PpGUBpt6KijOmZ/OFsERYsWICl9F/9K6v7O/p0p208zjhE1CcyyfiRGWgaNOOCq7ICLslzR9BsrdHW8XgIy5YvxPwFs7G8eBGfqdI9m5qug3Qu3etqOvPHv6QZDA0RJh4bIGoQj8g4sELxmDfNpZbLBNPVgKSYwpx58/D6G2/jrHPPR6/efXD4kGF47pWRKKkMieYlEx3he9O/muIx8EtkL9E2ffo0jHjxOZxz9pk4YNAA9OnTB31phx98IC6/9BK898EHmLd4KSqjMfrIqOpeErGasFUDmVStAc/qfGG4VYRfaC6z4d9MHN9+OxlXXfUP9Ou3LwYPPhyPPfYwM5rF+RDoV9b3ywzEZGEmYuLRYKgP9J37fsQ5cUr+XFlZCb786ivcfuddOHTwEPTs1QeXXflPfPfDT66g6NI4zUvDIL349FcoHDVdT5wF3OLlSzB+3Fhce+01OPzwQx2H7Nu3LwYNHIihQ4fi+uuvx9ixY/HDDz+gnIXeABJ4SRVCySNe4NEYuJJmtRVwSV48BrHTQJlPxn2EP/35dOzXrw/++KfT8fY7b7jmckHN5OrzKOHooAACEey2wb4/rs0PMiegV2H8bzA0OJh4bIAoJKZC4qpLPHpB5KF52T4e/TEuuuRS7Nd/INq064BGjRqhVZuO+PfNt2Ph8hLnjj45wq82LyA9AetqDuXlpRg16j0n3k4++UTs02MvtGrZ1PlXaF022RgHHnQQLrr8SowY+SbmL17ipuaRL5oq6L8Tj2pWCuHlV15Cz549qsI67bRT8eWXn1PU+uYmuQ/EoeLsfC/0q+C6rL7iMUDhvsHw24S+8Zrf+bx5c3D/A/di+AnHY9tu21elv4EHHoLR4z91XWAEsY+rgVR6dmnHpz93xW3TWLhgDp55+nGc/7dzcNBBB2KD9TtW+Vdom2++OYYMGYzLLrsM74/6AGXllW4gnqCN5pqUrmN51AuyGlaQ7qvEo5e1ZeXLcNfdt2KDDddz4bRr3xoXXXw+li1b6vwOhzWQRv25eW+gThX3wMQZVceeO4RCvnAikefcNm8uXvlz2hoMDQ0mHhsgColJpKUVZDQaUtPxOMGYb7IOxGMqEcHMGT/g2WeexpAjh6BZi5Y1iXnr7XHjHf/BgmXLnf9qbtLUG4XNyBmG4+dgk3CLYMSIF3HYYYegRYsWzo+iokbYcotNsfdeu6PnPnti++26on2bVlVhtF9/Qxxx9DA8+NjjWLDEE7MIVSOv1dSlPo+OTPPh/Zx4jEYr8eKLz2PPPfeoCuPUU0/BZ59NcNNseDDefC81m7LpM59DxzqvfRdq3n8fK/+OgxGeAYJzQfNZ4TWDoaHB8UcBgu+75vlgX7WNyzFhwlhceeXlFI1dq9KdrKhxEwweeiw++oTpT4qIUMry5lszXMp2aUyWw7KlC3HfPXdi9113qvJnS4rEnvvsjYH798O+fXtj5513RqdOnaqub7HFFjjxxJMw8vU3EY17mSoR6SYpZ2Bu/nAmSz1CtRVwiYtNtXgsLlmMm26+Fi1b+YJvm7atcP4F57omcyGR0JRfGhyoZnHNWsEA8qaaWDcK3T2PuMBzcjA6PIDiJ3GrrV6N+FXzYsoyNMXRYGhoMPHYACGCqiZ4EpCaZpMxakWKpqwIVeRGgZOIonjJQnzw3ls4+69/dsTcsmVLtGrdGh3X74RmzVuTMBuja/dd8e9bbsfcxUucj2pSTqUpkkiCgYDUQJakyJNYQj9PO+0k+tUCTZs2wfod2+PAA/bHrbfcgA8/eAdjRo/CIw/dh2FHH4GOHdp64m/cFBtu3AUHHHIYPhwz1sVf9Kqm61A0gmhM86wpgxEN61oB4ReaI301v8cwfvwnOOaYo9Gaz7Pllpvj+uuvxfz5cwsyQO+HH5XtB9FILAbH6hQfnAsEpt6nTH4ow5AVZqgSjcG8c8okgt+iPmYwrCvQ91gocoLjwqlwBNW4qS/x1O+/wf333Y3+/fdFmzZt0KxZU7Tr0AFt2/sau2at2mDI0OPw/sdjEFf1HxGIxwJpxXCCI+CTMR9iYL++aNuqBVqQR/bfb1/ce9ddGPPxR/jxh+8x/acf8M677+Diiy9G9+7dXThNmzZFK4Z12ul/wIKFi128xVdRKkcNyJMwcym4RnLTgcKUSTz6/o6qAdUcj88+9wS23W5LxyP9B/TBiy89R6Fc6vyWqclaaV68oQJ5UEjXACJxrAYMeoHqeUPcIN7QsaCJ1BMJxk+jtnkqyWhEqXJjPJek6K1qEjcYGhBMPDZAiKAC0hcxSvxIQDpSo2h0W1rpssW4/abrsfdee6Jd2zaOfEXCF150ES69/O/Yebc9ea4Im23VDf+66bYq8SiCcyVlWiDoVBOZdOIKWLRoPk46eTh2231nXHzJBXjh+acxadJELF26gPHQtD1xlJcswZefjcP1112D7bbPN20VFWH9Thvhtv/8B8tLSpGgENOAmUg85sUjQ1JY2q5KPDJmjFfK9bsaP34cXnzxBbzzzluYMWM6iTvqah6DicLlm5/Cx9dA6rquSShqOhBtJSQ1qEYr1Ph+kprfTatfaInDJCoqKtyxENQ6rq5wlBkM6wrEHysKRc8rwbfqv/M0Phk7GsNYSOu6zdYuHTdp1gRHHjUE11x7LYadcAKFY2s0btoMhw8ZilGjxzoR5+7Pm0LQGaYCpsZq8fjm66/igAH74o+nnYJH7r8PE8eOYWF3MakraDngvYzf7Nmz8cADD2CfnvugNYWr4rD3Pr3w1rvvoSLMdE7PNe1YMHuDC6FGctNBTfGo+R1lGjAzd+4MvDTiWTxHHlPN6jLyphZTCGodBcVD3JDVSlqRSqTjEVItC5wstMfCIUQ1YToLwQlNW8T3GolEnB9aNUscqonUozwfJ7lKPLp5bxVfeq9Y1YiuwdAAYOKxAUIEX0X6+SYZNaN42qRQYok4yxLxvJk/4cAB+zmy3WGH7jj15FPw7LPPYvbcufjw47Ho22+gu7bJ5l1x4x13Y+HyYuelI18ymnhTJCxik2VIniphq7/jSyOewzPPPoGFC+folmpk1bQj0ebpcMni+fjLX8/GBp06u7AaN2uBM88+B1O+n4oYMye50ujvKAVkkgJPRPvz4pElfdf05MMoRGHNorbBfdr3Vr2MoV+CLOGEYyAoA/GoDEAZh961W5WH5pquJHh5TRZktPU1g2Fdgb5dfc+F4rE2fAEqiQcfuA9FTLutWrXEAQcOwr+uvQYTP52AWeSRf1JABt1ghgw9FqMnfoY4SUNfe9A4rBB0rLNePOpsFtO++wYvPPMEvp/8JS8WxiPvWmmR6UyYw7AuvexSdN54I89nO+2CG2+9zXWBkQCTMBMzyGdNF1Qf8ZjJSqTKf50vhCY/V02jfz9ugvAU7+M7Uy1jisIxnYzyNl7XMorkj7hWxyHnaAlYpXUJz2hUc1Zm3GAeiUe1ssQYOVc4ZyiqLQ1TbKrPd43oGgwNACYeGyBETlXCRaVhiS6a6+so8agSMQlu4dxZuOCcs3DoQQPxxOOPYPHChd4D4pNxn6LHPn0cEXfZqhtuuvMeLFpWIB7JZiK0QstSOKoGTyIsEqngVvOyqUSuJhrVYlCcabLdlEYq+tqDeCyE5154Ab32G+DCKmrWHEcfexw+GvuJq3XUM6i/Y5xkW99JwiUc/TyPPmMJoOs6J4GrePnaRcXLi8RChEIVTjC6Wtta/hRC71mmjECmfWUsmjokqJmorxkM6wr0PUrYyILvU992AB3r+1Yt/iuvjMCBFI3nnnsWPps0sar7SmllBf5+zTVo1LixS9tHHncCRn/2OWLyi9d9w7DnE88hXjy6wh/5Qi0kuVTMFXRZ4qULOWK6V20dj5NMZ5XlFa7gVlxSgscffxybb7G5C6v7TjvjH9f8C/MXaXYF1eRlXViqhVwd8aitl3IB+NxJFjzzg+70fqJRFjaj5DPHK4VgPFOMu1bwkr9uFHltN6B/FKNqVk+rf3eOApJ+8rgimuA7jJD3Vs4/BsO6ChOPDRxaS1oduTUHW9Bsrf44WlkmXF6CWT9Nw8yfvke4six/B2mORDvpy8no229/R8QbbbYNrrnxdsxd6AeyOPFI84RfyyjQJLj8kcg1joqKYkTCZTyvpb1iPBehO61qo+abcoyfOAFHDjuuSjwecOihrslJ4Wi1Gc056TIvl+kEtmrx6DMgEbaPTyAUtS8rPB9cU42jhK/Oa79aNKpPUr5PE31WXAoFYtBUHQh2bX3GqgE3PrPQ+Z8zg2FdQvBd6huWSCrsjiH47zzu5lz8/vtvsWCh+hP7NJPktjwSxvW33IJGzZq5tH3o0cdg1CfjnHiUD4F49EVamdK1/irt6qpnGYlH11SteDDdxZnuVJuXZGFNNY9B3EaOHImttt7KhbXL7r/DDbfcygLvMvrhw1BYEo+q2auveJSlM1G30oyWStTWrbfNgmzV+8moxlFpP+tqHGOhsqqaR9/HnPEm35aVLENJ8bKqgmqUgrO8IkR+08IIGYTjSVf7WBaKOtO+ah21rGON6BoMDQAmHhs4nEAiWSXVcdsNmBGFkqApJNU/pxokP5Kz5nkUGU/5dir2zYtHNVvffNf9WLi01LlcWc2jTH8VpmodUykJMK0yoybdCK+JSGUSYTKSZSKMKd99g+EnneLCatSkKQ4ZPBjvf/iRo3L1j4qx5O39VixdTGkrF48+G0oxU1uAhx9+EH/84xk499yz8d5777gaxaDzutwrA9S5119/zbm55JKLMGbMx3mhCArfckycOB7/+tfVOO2003DGGWfgL3/5C26++WZ8/vnnLtMKoH31ZQoy2GBbXzMY1iUUfptKJ0F3DH3XAdTnsSYodpj+Y0z3EfLOzXfcUVXzeNRxJ+CTSV+4lK90LCZYpXiU8CJPqZuNq21k2LGKSiSYxtIq5PGYDnknEA6F8OSTT2KzzX3N42577o2HHnscxfk5HxVOnG6TdB7wVzV0UFM8BgJS8fjm2y9w9TVX4g9/OB233nYDpkz5sko8akUuNVvLi9mzZuCR+/+DS/72V9x1+034aeo38txh2aL5ePnF53DZpReRQ/5ATvojLrjwEjz+xFOYNn2mE4qCYhJNpBCiRalyIxo0k79mMDQkmHhsgAgI3+2TECXmMiRy1TaqE3dVDWS+FlK1kileyyhzcLULWUye8n2VeNx8q25OPM5f4ud5rC0etS9+C1ZYUHhagzZJP0XG2Yxq4HytYyoV5nmt6KKma9VoxDFx0mc46tjhXjw2boLTzvgjvv7mWxeOMpZIPE4BGc+P7NZdPyceGQ9uf/xxKo46aojzt0mTIicAVUvim60F/45mz56J8847x7nZfPNN8dhjj2D58qX49NMJuPrqq9ykxC1a+NqTwDbZZBNmJn/AiBEjMHPmTCca1QdKtZGqlVydGsfADIZ1Bfoeg9r04Dio4ZMFBSMPn+ZVWNSqTinuJyj8JB5vuu02NFbNI9P10ONPwtjPv1ih2bpQPGbcXy8e3aTjsgyPyU1p8oCEo7riOBQkmYkTJ2LYsGFuRLTS54GHHo6PPhmHKNOkwtLyp5VJ8hKfp77iUabjka+PwJZbdXH+7vG7XZnmn0dlqJLXeFV9FRMUuNx+Ov4TnDB0MDZo1xx9euyON199CYsXzsObr72MKy+7BP369kLjomoOke3dYx+c/bcL8eZ772PpsuWojERdzWickSyNpFARS7raR4OhocHEYwOEiL2a3POkSELPkdglIAMR6Ur13E+T9NXEyz+u5jEao6D79Av07e8HzGy+TXdcdf2tmDnP9x8SublRgHmTcEzzhESnMhuJOIWpbYbCMaZmnkSIwjSEaLQU5eVLEI/7ZvJEPIQnn3kKPXr7/pWNm7fAlVdd7Tq6a8ShYh+ORVEZDrmBM144/px49M+saXlOOukE52/HDuvhlltucivMqDla5kVk1jW5nXvuOVhvvXbo3r0bbrvtFjz77NNunsrGjRvzfHtstlkXbL31lth0003QqpWfn1LXNM/cNddc41a20PvW86vvo4SkoHP1NYNhXYG+42AAWOG3qfM6pxpICafCmQoy6ttMaZZmOoyQV4ory/Hvm25CUwm6ps1xxLDj8M7oMYiKI+hXbfEo2UZZyhTpxaPrK63Vr9RiotkMVNNYBfrB4zjFlkZbX3LJJS49FtE223JL199xUX6An+4Kp9IoI6/FFGce10xuOvBc4GNRKB4zePOtV7HV1pu6NL/X3nvghReewbLlvjncF5h5F9/J15M+x59PPwmd2rfCbt23xS3XXYPbb7oOO2y3DVo3b45NOq2PLptsxILnRlh/gw1YIPUDiZo0b+UmUH/imecxZ+ESN8o6ls6iLKrR14xvjbgaDA0DJh4bIETwgUlQOVLUlmIxEJAZNWNLSFJEauocjQrMkqhEghGS7Mejx7FU3NuR2xbb7ojrbv0P5i7yhCkfxWeOckWcFI5u3sd8ZhKEmclq8IymxgnT/yjPx+kmTHFVjGTcN4GXlizBn886E23btXNhddiwE/5z3/2oYKag5mo3BVAmjVgi7qYCqq59/HnxuGDBXJxwgheP67Vvh3vuuQuhUDnjmGYc/OhpPYVWxLjgwvPReaNOTkDuuuvO6NZtOzdnXLt2bVyz9/PPP+tWzHn66adw3nnnoWvX6kmQ+/btiw8//JB+KX/TWria49FnuqtjBsO6An2PXiBW1z4G0LGuSVzqe0+rMMY0JfGYzvEeMkSMvLK4eDmuuPpqFDVpgkZFTTDk+BMxavwEROm3fFyleKSlxB3REDkrgbRq9itDvCmJJAuTFaUlmDtrJt58/Q2ceMKJ6NzZz9aw/Q7dcda552LM+PGu8CkkGF6Iz1GZSLluMAq7ZnJzTJY3Lx5dk7WLITDqg7cpHjdz/vfp2wtvvPkayivEI+rzKZHr39eUr77An047GR1bt0THVi3R83e7YNcdu6EJ79txu6649KLz8SwLyuo+8/TTT+Pkk09Fh44bOH+bU0iefPoZLKAvcrFJ0r8oOTWa5NtQSd1gaGAw8dhAITJTJ+60yJ3mRluT4NUM5Po7SkTSVAOZjIcRDpUhlVANpIRgBmPGjKsabb35Ntvj2pvvwJxFfsCMqCygMy8eSXAkZ01h48Wj9hM8pw7nfr60TEZT30R4XSOSuc2EeC6OKVO+QN/9+rpw2rRbDz369MUb773n/NQ8j1GSs5ptNOJaAnJVo62dQHZZkc8I5s+bjROG+4E4rdq0xq233YryctV4MltQM7jeCSGReTGJfbttt0azpkXOvaxnr9648847MG3a1Cq3CWZeP/wwFZdeegm23GIL5659+/a45dZbUVZWwTgy81TNL9+jVozghlYoEHVCuU1t0zWDYd2BxFFhU7WOC03nVEjKMt1JPEZjIRb4mLb5jWvFqeVlZbjy6mtQxEKY5os9bNhxeHfsJ0486msvFI9MAf6+AvGoAm1aQrGkGK++8DwuPOccXMSC2yUXnI8Lzjkbvz/lZPTv1x/Nm7fA1lttiQvO/xsee/wxTP7mG9f8G6f4iiQSFGHkDqaxGOMcJbclFH+GVw3FxsegSjzSvHjM4v1Rb2G7bn4Oy16998FrI19Bpes7zViygOsn8c7hq0kTccbJw7FBG7+qlqxF08Y4duhReOn5pzGHYjerLkOERPfHH4/Gaaedjg3X9wJytz32xouvvIni8kr3XqIUjRKQ6bwINhgaEkw8NmCI1NIkt5Trk0PSItEX9nV0NZEUeYlopRePah4iRFXjJ3yKnn37OVLrslVXXH3djZi9wC/JJXj655YEmnXN5BKo9E/iVDUQGiyj5nAKxJyEYypE/yUYNX2PJ+UFC2bghhuvxWZbehG22dbb4sp//Zul73nOd5W+Nc9ZgoSv9a7rJR71bLymuowFs6fjlBOGOb9btW9LAXwzluSbsjwkNnOYO2sarrjwHOyy3TZo2aIpWrdrh/6HHILnXx3pptAQ9Lxqgtee7GtmFCedMNw1lcn/E086BZO+/sbVbAgJbtRvidzPuLlT3NKX/DvycfXmlo+UsHd+GwzrDvTNSiQGA2UkGt13nDf/zVJkai5W8kg8oYFxHmUVlbj62uvQWEuUFhXhoCOPwhsffoSQ/OH1QuHofXKpjP5SkCmtKX0wvLkzZ+Hk4/J9oldie/9uD9x2y8145eWXyCvz6Bv9p6eVFI9hxl8pV+wWIpdEWDBVyg9C9aZYeN5Q/afEq0zHb7/9BnbYYTsXTo8ee7pWiIoK3+3GxVnvgeJ08mef4KxTj0WnNr5/dKfOm2DYsOEYN+4TuvQ8Iv8kjhVWNBrCO2+8hn779EBjut+4cxecefbF+PrHWc5FpcQj3Sk21SDfSvzmfwdtM26/+j0GKNz30JlCMxjWHEw8NkA4LsubOifmJGhIMGTkvJHIJGDypn5FImvX75HQlDhjx01Aj96+RnCTLbfBdTffhvn5FWYEJ9YcXdGcIKUgdCMk1ZeSgjGrWs0od7XaQgWFZMidC7KLLN299NJz2GW3ndGoSRMnwvoddAgmTv7aEaLIPsq4an42N2kut0nVdJCkPWErXMah0IJnc/FKYeHMaTjthKHuGdp0WA833X0vlpWHeC2AzxwWz/0O/77gLGzfeUO3BvfOPfbGY6++hmWRpHMhqHYlnYoil2LmmIsjEy3D7Tddizatff/HgQcdhhFvvuv6cwlRxjnC6EhAMq9ifBlnxs11F6Bgd+9B877x/btaYJ3TMxkM6yC8UKwLPK/vloIwxwKqX8vZo7SszPU91AwKSiOHDj0Gb48ZiwoJUV5XStVWX704R7M9uHTMApbSCSj05P28ufNx7lnnoG3LNmjdsiU22qADNl5/Pdc03KFVC7Rv0RzteH4DpvFdduyGW266DgsWzkdKPEILsxAdUXpkOCEGEaEpbEqvKsvHwpvjE6VPuQLee/sttxa/nqFnzx544fnn3AwNQnUdZgbTvhiLv51+LNZr4guUxwz/Pb76ZgYqQ0zz9IsSnAI2xqKzeNAXoBf+9A3+fMyRaE/3HVu1w9Bhf8CYr6a5q2KqCjJhnEcS1UH8ND2SusaIJ5MpCmMWcN1a2Kos4HOqojIwxzt5q+LJwPRyDYY1BBOPDRCOJ8SBeS70JjbhjjOSYoF4dCLGEaUc8i9vHDtuPHr08s3Wm2y5NW5wqzUE4jFPRFX0L38ofpyRGFW7KLGYCtNZhMFFkYxVIBXXCGuPL774DMOPOxaN80S7y157497Hn0CFOsYTEcazkpmRmpw0WbjmOlPtoy9l1yEeC4WxnoPPtHjG9/j98Uc5/1t37Igb73sAyyqqa0bgJGoSy+dNwY0XnIkdNlgPTem27yGHYtTXU5xw9BRP7/g3x+fLZSUefe3pkw/djQ3Wa0//i7BX3/546NmXURzLuPs0zjzG18RDxEXumvPRdRPg87n3TZNg1+AlndfvkH//BkPDQZ5sJPTUsqE0mEeZxOPVmiS8iUuDhx0zDO+NG4dwvuZPfRHd5N1M45qvMcut80MiNJlg8lC/R62dHcMXn3+FES+8grdGvo73334D74wcgVefexKP33snLvrrn7DHjtu6MGRbb7UFLrrofHzJguiy8nKKVfrB8DQ+uoxRlYD0qa1aPNYQkFVc4p/lfYrHbl23cX73knh8oVo8+jpUIY1pk0bjglOORsci3/XlzPOuQhmJgG/INeNLBoZyYQrZEF0rRjmEF8/A3/9wMjZrUoQNm7fFEYNPxXufToUYpoLXy7hXmQmz4CzeUHy0CIGWSyW38v2pdUndY/QeNa2PpvyRK8eConz64YSjU5J6Nv1Gef7ReUXOYFgDMPHYAOE4gTwh83yYJw9nBQRSZfmm1DwRVonH/Ahoicfrb7mV4tGPtnbuHJGJomTyIy8c8+IxlyBVp0WQvjYyHilDOuGn2ZgzZw7J/QJssP76zv9OG2+EK6+/HguLi51YU42B5mSLMCNRs1OcotGFwvOrIx6XUDz+YXi1eLzh3gewdAXxmMCyuV/j+vPOwE4btEdritlBRx2NUVO+dXHJ+yYK5l+9I8lC3ZfBi088iC6dfH+lnffsiTsffhrzy+OuXkHmpClv0yTAqSTfsboOMF6q5U1GQ0iGy5GRoHbvXv7LDIaGBH6zSosSj2l+xxJ/edQWj4cOHYZRFI9K2/rStVXa1iwKahrPOT94v9KJ+k+z0JVm2lkVcskwZnz3JR695xYcPmg/NMkLt86dNsTfLrwA3/40HQnynmoeVXSt1JbRVdqW8KuveNz+Z8VjCt9//iH+dvIQdHIF4iKcfdH1KJUKJPTECf6rzIYYh3K6Vr0i47V8Lm467y/YsU0rbNS8HQ459GS8MfZbCke+P16XeAyzwJoOmvEZnhYsiEa10IK6FGh5w6wbHKSR2drqF3C8xWc18WhYWzDx2ADhOIE8IfN8mCcPZwUEUmX1E4/z8+LRka0jMploSkRUKB4psDS6Oq3R3KpZ89MDZVl6nv7TNPz739dgu+18H6L1N+qM0//yF3w+ZYrzrSKZQFijPLkvgo9wP5pKOuGovj+uecuZHpB3/ALicemcr3DNX09D9w5t0a55Uxxy7HEY/f20qjhom2amqFHprtbRrY6TxWvPP4GtNtvE+b/jrnvh1nsfw9ySiPM1EJBuObSMmum54+KVdmvfRspLEK0sQ4YZgVs+Mp9RGQwNC/yulRYpAn9OPB5G8fjBJ+NcjaMQ1Dy6riguefCP7k8xBTHNq8Nw4HUNkaM0Tl5R9xjXVYZ8EypejFeefxJ77LwTWjT3fQ633b4b3nh/lBt4V8Fb1IcwwoCULtekeOzcXOKxCc6/7CawLOmiLv8T5EiJx3BOA2IkHrPkgYX4zxUX4XcbrI/OTdti4AHH4dWPJlM0AuW0CsY2novz1TDGem5yXTDVmJqtYzH6GYkjmqSI5LMpxvoFZI7uGbKJR8PagInHBgjHCeQJmeM2xyKBFRBIfcXjFttQPN6O+YurR1s7UnJ7eboK+jxWicgEMm6qjUpuvWBbvGg+br7pBmzTVSMXi7Bxly7489nn+ImDSfCqiVgWqnS1jSJ3TeirzCVKQRlLJhmSp/hfVjwmsYTi8aqzTkG39dpQPDarEo8uDjSthau1bNMuwwrzcUX8KYx84Qlst/XmKKL/O+++N+64/3EsLItJSrv7orxPfR7jJHbVEPh4pfk+6Cam6Yv03pmpxPl8MT/S3WBoWOA3q7Qohaf+jqsSj0d78ah0zjvyAs754P+ImyQa4yygJeJMwhJKPMUSmC7l1CSrqXFUM6maOPWLFLdQXAlLFs7GVVdcih27+ybsduu1x79uuhmzFi1FWTKH5bE0KlU7R7eKpYRfYdO1S5+y/1I8Tp30Ec4/9Sh0aunF43mX3oBi0oV80Wh09XWMIIoYLZVVIzoLxhULcd/VV2BvFqI3aNwa/QcMxWsfT3ZN7LKw7qI4dv2t01rggaKRfOcHCVII831UhKKoqBKQJh4N6wZMPDZAOE4gT8g8H+bJ478VjxowQ/E4b4kXj3LlhVwQAOnRkZFMfiUYRIxex92Ia428jidibuJtzZ8oP5s2b45hw4/HeArHJAldBFuZTDnhqPWswxSLpWFSJ/dTJHHVHqQZL02B4/65B1S4tWy1xWMCS+d+jX+f+3vsuEE7tG9RLR71RuRCndDdtCRqmpd4TKpeIEbx+Bi6bb2ZE4+7/W5v3PPwU1gWJrnrKu8JMzpqtlZndi1hpqZrCUY3bZLimoem9tFgIIOh4YEfuNJiPcTj4RSP74/9BOG8gJOIrEoF8oZpIEfR6MSjRCTFospcKXor2opHYihZsgyJmAQjL6gfYJLpUTVz5JpQ6VKM/uAdHHSAXxmr3Xrr4Yy//BXjv/wGIToPsRRYwcSsQp1iuSbE499OPRIbtpB4bIyzL7oWS8t5hc+mmsIk40kmJKfEyGu6P0HxuAj3/+tK7LlxZ3QoaoF+/Y/CyNGT/eAeWpRvKsHCuKY100AicUec7ycW09RnvhuPuEOzQkRpaqLXszkWZLgmHg1rCyYeGyDWhHi8luJxbl48ilJdE7KIybGPAuRZDbohKbmBJaoZcNeAJUsW4KmnnsCAAQOcf63atHHrV498+12WquULhRZzCc3BpljIQhSRZZGw6xOlWClMCclVjraWFYhHDZipV5/HeZNx4wV/wq4brYf1WjbFwcOG4ePvproMTkZf+dpU0udRTjWPalCieHzuEWy3xcbO/133+B3uffhJFIf5LnWVf0JUjiL0JEneTaLOXNAvrcZMk88Si8URjjIz4XP7N28wNDQo7fPrrad4fI/iUcsEKo2r2Vqulaa1vJ+WR9WE4K7ZOi/cxGUJV3OfRZzppay42PX5c+HqbnJNKl6JZKQM4dLl+HbyJBw5+AgX3nodOuDPfz0H4yZRjJH7FJYbdc3oKvxfWjx++9kHOPvkwejYLBCP12F5pZ6PXpGX0uQP9XuUePQ1j0lEyxfiPorH3TfuhHaNmmNfisfXx06maFSTdRZhuo2mIxTQfGZydCAe43EWyvlO1I1H4jGitbDFNfnnlDm655OZeDSsDZh4bIBwnECekHk+zJOHswICqbLVE48BOYladYf4p1rMUVbKP5ETUVZWjMcffxS7776b86t1+3Y46PDD8fLrbyKiZha6iZAEoxSRbnAJI6/pbhL0T3141HQdjLYOxKOnev6tLRxlgXikz4tm1hxt/XPicZfO66F9iyY46Jhj8OE337mrNcWjzlA8OkvitWcfQtdNN3T+77zb7rj7gUfdaG69D7kMJTIoD2ldbsWpJtQHsrSsAkuKy1EZT7gwdJ/B0LDAr1ZpPxCPLv15uKl6JB6LCmsex7GgqBSc5xGl63QKSc1F66oYlY55JS/cBPXrS8SVEgmmcRXAJKLEWZo3NVpZgkwigmQ8gvfeeh0D++/nwmvTti0u/8dVmDpzjgtTHBP0eeSdv7B4TGPyZ+/jzBMPx3pOPDbBeZfcwAJw/jLdkcnIGuqSE+N9upBGtGw+7r3mCuy+SSe0pXjsS/H4BsWjGKaUYjNEd5FkJZ+f7sXR4rgCiM5VAC0PaUUua7Y2rDsw8dgA4TiBPCFz3FYlHGUFBFJl9ROPc/LiUTQu146gaOIfT8IiNu7R/2QyhtLSYowY8SL22msvFBUVoUXrVjjosMPx3IhXUBbyIqtKOHJftZCqcYywJC2/5ZuasN2ITBK5MppqqudfZSR5qxKPynh4bXXEowbMXOuardujbbMmOHDoUHww5VtSvJrW+JwyZnAZDQSqEo8JvPbMg9i2y4a+2Zri8T/3PYTFpRUu3no/MT5POJ5yA2YETbRcWVnptkI8lWbGkHIrX+iM3ofB0LDgU78TWj8jHo9Qn8cx4xBTgiKUTtQVRevpa6WWnASo/GIa1hKE0VAIUS1TGosjzbTiQZZJUkxqrfuYpgJTFxnf57G8dDmuveaf2KGbn5OxfYcOuOGW27C4pMyJx6WVEVSo+wjdquXkl655nDxpFM48+Qi0dwNmGuNcisfyAvGYUc1jVvM8aurvvHgsnYt7/nUFduvSGW2LWmDfAUfjzbFTXJN1cTqGaC6GtLoB5bk6mVA3IB3TP/KKWwiCW/GkK2Q7X705uueTmXg0rA2YeGyAqLd4dM3MMtGpHHqoWXjchIkr1jwu9Wtbi5hkgffiH1n1kYQSxdVrI9Cnr18fu1Xr1hhCUfbqG2+5pcME+SHRqDsUA3X41qoy8sVN7qvVZUiKEo2+pkAh1F88LpzxXT3Eox8wc/VfT0X3jhowo9HWx+Kjb6e6q66Wgt458UjiR460nlGzdQSvPX0/um3WCc2KGmGvPffC3fc/hIXFZVXvR/HV0mKRaAxff/UVbr/tVvz5z3/GTTfdjC+/noKIOv/TjZq4o3Ss5i2DoWFBHy3NEY6++OqPuLyiAldd/S8npJQGA/EYVYIi5FJpWUuPqhuHiEtpORGpxLLFCzF+9Gi8/dbbKCn26+B78A6lRQrIdEKDSLxwFL76fCIOOXBg1cT9G22yiSuoJihOQxSNpTEVTH1/y/9PzaNWmAmH1ews1/5Z5OOULz/CWacfifZuwEwR/nLhtSiu0LvhZb6fDEVgPBMlxzHermE6hXDxLNz9r8ux26YboV3jlthv/6F485MpvuaRBXCN0PZMkkHJssUY9d47uO7af+GCCy7A3Xffi2++/c71mVYQauEQX8q1Y0Ge1JOZeDSsDZh4bIBwnECeCMSjRinKqsSjSJ4EoiaflWHiZ5+jT//+jjC1POHN/7kHyypVHl4R4p8YyTylUZCE+iR9/PGHGDz4cHd/6zat0W/gADzxzLMoD8cd3VZQGJbF1YhDCmWEVQOnWroYyT0YMBOKxX2JmqYma/849RWPaSyb+wP+kF9hphXF4433PYjlIS9c3UsqEI9X/UWjrVu7ATOHH388xk77yQlHrRKjvE5LMOY0qlN9lZx4jOLVp+5D1y7roznFY6+ePfHQo09gebkmAJb4lQT3UG3jXXfeiU037eListFGG+O6G29BCeMi0VyZ5vPzpnyFjMGwTkIixAmRAqxqiinNIHDttdejWbOWTkwdfSzT1cTPnbgphHwM/NUqTJHKMkz/4XvcdP31OHLIkbj1llsxdsxYzJwxA5G8aAugCfaXL12A8WM+wAXnnY2NOvluJO3bt8ORRx+Fb6f+4NyF1SeQHKjCqdJcvcSjI1DgvbferBKPvXvtg5deegHl5aWMMwWhu0fPkPTi8Q9Ho01ePJ510bXkAz6XAkxLIHvxmKoSj2lUlszGnddcit022wgdWrQhTx6D10f7ZuuKNDnVcZSP1w/fTcFZZ/4JHTuu5+Kyww474fkXXkKUPBpPkTPJn+o/rfdr4tGwtmHisQHCcYL4RsRAy4pQ1O9OAjKvKCUcNVF16dJFmDX9B3wz5Ut8/fUXmDV7BmbOmomnnn4WPfr4msfOm22Ji/9xFcZ+/iVmLVyM6fMWYtqMOfhh1mwsLytzzU5l5eWI5CeunT79RwwffiyaNvXLkm22+eY4+fRT8dRzz+MTZh6jRn+CEW+8jVffeR8fjJuI93n84Zhx+GjsOLzz/ija+5g0eTKWlpQilkqTHOOIJxKeCH3safon6vZWJSQ9bdLSWD7vR5w+PL88YadOuPGBhyiAfRxz9DenmkSJx9lfuprH7dq3QWvG+bDhwzHux+mu2bqS3C1R5zIXN9qaAjorEZ3EK089gG02Wd+tSrNPjx549PGnUBb2U/WoaU4kri4AoVAIV15xhYtHYH/4019QHvXiuZLqVPfIvZ7PYFgXUCgUta8ZB9xk3gXnVSNfWVmOBQvm4odp3+LrryZh2tTvMG/eHHzxxZc477zz0a6txE5jHHzoYDz93Ev45ttpWLBwKeaSR374aTq38xCN5gt1TAVpCsIZ5KQLLzwfrVu1cjyyww474oILL8Abb4xkGF9g5syfMH/eLHzx6XjcccuNGNivL0VbC5/WWVgdPHgwXn31VYQjvqUhkWY6ZHqTyPLiSkyh/WoOqS6AygIC9eKx+7a+Kbxv394YOfJVlJQsR5ocmpIYIzQP4+QvP8SfTj8KzZp68XjOpTeglFpX4+xYsua7Io+lwhSPEYameFHwVS7AbVdfjF027YwOLdthX03V88FXTjxGKPK0KrdfNjaHKXy3Bw7ygw5l66+/IZ577kVyYxoVkRgL2nwK/U507ViQ0TfxaFhbMPHYAOE4IeA+mhePLGur31DQbE1CqixZhuuv+Sf27dsHA0i+ffv2wr779cWA/Qdgr733wfobdnIk1aJ1O2y7867YZ78BJLdB6Ltff/TZdwCGn3wqXnj5ZVSq/1FS8yCmoaWz3n33bey55x5VJKcm6627bo2eFKP9Bh2Inrx/t7170nphz177Yndu9+Dx7xjmbrvvjl133wOn/OEMvEUhWRGJumYZt4RZJk0ODOoIViUe5SCBGd9OwvFHHuKJdvMtcP1992Pe0lIkYmkkSbZaOlEiUH0erzvvDHTr0A7N6VZ9Hsf/NIO+AnEG5gg5oz6PEo+k9Xgp2TmMkc8+gp222dSJx1132QV33X0flhSXMT66RzWWzLDCYSxevAhXXH4pmjT2zXeyU07/A4or+Wx0q3WwTTwa1jXUJR7VX1f97QRtZaM//hBHHnkE+vTuhQH99yWf9MaAAf3Qv/8AbLfd9mjSRJN2N0aXTbfAXj16o3fv/dCv30Dst18/HHDAgbjqqqswdepU56dPAVmUlxXjppuuR/t27arSzPrrr890tjN67tMD++3bBwcM6o/++/VG1622qHKjVasGDz4Czz77HEpLNKWWh/oFhiNJN6hEaW51xOOH772Lnbbv5vzv06cX3nzzdVRUMJ2TQ+MpijvnMktR+xFOP3UwGjfOL094wb9QrEYKR1iazzVCrixhwbICiaz6TMYRKp+HW666GNtttD5aFLVA735H4o2Pvq6KY0o1lakIshSqX34+EYP2961B7lk36ISXXnqFXudcraNGW2t9a/GI7jfxaFibMPHYACGOWEE8qqZN4lHNr2peJvEVL16AQRSNARmtrrVffwNc/e9rsbyk2IUrxEmQI0e+gh128GT739rW23bDf+69D8WlYl+KKwrHcDTitnosX/u4MvGoh05h3k9TcMxhA72fzZvhH7fegQXLy5FOZpFSk3ncz9e4dN4UXHXmydimTXM0o9t+hx+O976e4pqtJR4T6ZxrgkulovQ6xsiEaBV44ZF7sE1+tPX222/vxOOyUt+RXvM6qsY0Fo9i8cJ5uPKyi9GkyD9b8+YtcMllV6IypnpHzT+XQWVCU3n4mlWDYV1AIBKFQDzKdF7HwcCvxx57pCrd/jd28MEHY8KECc4vD6bpbBJTJn+Fu+68A2ef/VcceOCB2GijznXeL9t6660xZMgQ/P3KK1zhdflyz0k+nhrAl3ZT/mjO1UCY1Uc8Zsk3b78+Et220cIGjdC9ezc899wzVX0etWa1kGLBcuwnr2PYsAEoasI4FTXGGedehbmLySIuUefcIKBwpAyJTIhpXa0XCVSUzcHt/74MXTt3cP7v3fsIjHh3EkhRDlk3xyMLuhR9303+EscNG1olTjfbbAu8NOIV533a8ZQGFpp4NKwbMPHYAFHV11vEIH5gqdv1eXRGotTKJukESpctxtV/vxz7sCTft88+6NVzH7e/D7e9+uyLvgP2R9/9B7oaxx779kev/vuj97790GOfnui177446dRT8fyIF1GmUjgDVB8gkf7krz7HX848w9UQ7L//vug/YF/07t2LftP/nj3Qo2dP7NOrN/f7cL83/euNPn37YV+Gsc8+vbjth7+efS7efuc9VFaqAYdiLJ1CKBpeqXisNtGmyD+DWOki3PyvK9wz7TdoEJ545TWUhGPIkGm1jm48pn5LFShb9iOeuvM6/PnIgzH08INw0TXX4JNpP7r1ZTWQJZbUoJcoM6Aw3ysFbKICWQrPj95+FaccPxQDB/RjBncO3vtgNAWhelPxvlgckUiU7yONUHkJnnvqcRx1xKEY0G9fnHrKqXj9zbfctBqqoSzlPWXRpKvhNBjWBUhwaBCLEx55BDWNgflayAxGjXoPhxxyENMxeaSv0jk5hGm9F9N4v34DyAEHoH+/gdi37wByzH7Yp0cf8k1/9OjRi6LwIFx//fWYOXMmQ1CYSSRZSNPgkgBlZaX4ZOwYuruW4mwo+vQmd9D/nuSSQYP2xwknDMdtt92KTz/9FIsWLXICV1DcXSHOTfWjlgM+A8/J6i0eU0lM+GQs/vT70xnvvfH735/G533fzbWolhC38hTfgZqjv5o8Gv++7jwcOrg/Bg0+Cnc89CIWLo04OlJCzyXjSCXJH1qrOhviqSiikUV466XHceYJQ3HEgYfgwsuuw+hJP7qJzIWsRlqrxYPxWTx/Du6+63YMHXoU39sgnHnmWRg/4VPGXTH1XOKFsYlHw9qHiccGiNri0bNInigckaShtabj4QoUU0DOnzcbc+fMcNsFC+ZhwcIFmDNvPn6cNQvTZtBmzcGPc+Zj5vyFmLdwEeYuWIBZ8+ZyO88JxzTFaCJOYZeUWEogXFmKJQvnYt6cmVgwfzYWcn/hwvlYuGA+5vGeObx3znztL6QfCzFr9nzMnbeA4dJvbmfNnotFi5c4wabmJq2ioL5FImnfbC3Tv2rirzafLeQyLLGHi1G8YAbmzJ6OWcxUlkYiTqSFK+N8frrJaV3pEqSiC1G5ZAaW/jAZM6dOwU90uyROd3xdCb4uNQUlNLozFUEyWoqK5fORUPNTqBSL+M7mzJ6FxUuXuf6OobhvOlI8lbkmmMmk+K7DlWWO/BfOnYWlixejMhwBnSJMYappRFRjoJ/HYFgXUJd4LNwXJCA1OE6DRxYtUhqe5Uz9H5XeFzBtz5kzDzPIITOmz8HsWUzbM+fT5pIXmNbnkgvmzEVJCdMg00qGYiwWCyMcqUBKK1TlKO80/Y9SNDlGTcWLFy+kv+QS+j9nzixMn/6T619ZUVHu4htAUXW1jYmU26ZTmqSfaTmVIaeIJ35GPOZJVAXiSKgS85jGZzKsJUsWIer6dmfITyGUVpQiEpcYVL/sEixZ9j2+njoRn347FbOXVFBUUrDpERJM7BSPGQrjZLqS6b4YsXQJ32E5IiXkw+8n46fvvsOi4hKUa+AL46+J05OxSmcq8KcSUSzic6tP+cyZM/jOlzAuek98Fj2vguLWxKNhXYCJxwYIxxE0Rwzc5lQkdeShc9qSFFnCX9Vo69WBOnRHwmVIkOQ06tBT1y8Drd0apohMqKmd8I+kphnRfV3/KIzF1pqTkUJPTUMBFKsIGTYepXAkMbtruTK6Xa4rNLG8e2XuqIw3hHhKxBysMJNNhZGIlCFYr7sQ8lE1j3G1ITmQ1DUnW6p6OpFCVIbjdJ92TePBz2UwrAuQ4JA4DASjtrXFo+DF3f8fXojGKfRiSKYkiFIUeQlEYyFyAMWZat9cKlk51PdPNY1xFvwkGFXo1DnPh0yLTPsJlthWRzyq2dp5sAJUOEwgRvGcSCdoEfqhpmhX5HRco1RP+kImxCOmdbAAmlMzdDaCRKaCYk/dZnSPhuYxvDw0dVdFJO2EYZo8k6GQLpyHtxDieU0SHqHgLFxdRibKN/FoWFsw8dgQQY5wPC9zfEESlaBxbJInEAo+EZYEZDoZpcjxBKUSdZrXNT2ORJMoTbQVJhlrXkIthaV+PqolSKUoptw9PK8lwmIV9DpKP0mGbmSy1pyNUmjl52MjYcl9nJlEzC2vpTj4KKVYQk+ydJ4g+acpdhVV1TrG4spAYm7AjOAfyYtHkf+KlhePJGkkK+lJ2LkUkbvhMfRAeQM9JymHGA4FZraELM9tise81wlHultO4q/gY+g9qK4zzedKpwOR6d+fYqO5HDXdUILxjqQ0rRBJnOeUIepd55gB5PReslrbOs735Zu7KkMRRPnMipMPw2BYNxCIxUAw6ltWzV4gKIPzHkobFC8UOWl+4zoWj3j31e5c7Z+qx/g/rXSSUG2j9099irVesx9ZrHuTTPNx+hsnJ4TJAZXkAhbcmJZiFJNxcVa+C0uGIk+iUbWMcfKFxGOa6TvHsFV7J+7TvrbqsqLuIeIQ8YX+rUo8ZshVKXKV9lULqZrWqLrPaKAM3an9I0lOi5JLYtli+lJCn/ke+FfLIEaijEMl/YqQSLReN7lD1zVJuMRmNldOf9R/0otj/S2ns7IwOStGrnDN97ynqrBPT6uQc89aEYmTR1K+GwzP6g3K9Or1nO630oGJR8OvCBOPDREihLx5vpB4JK3IVJJ2K0GIPLhPk2jUaD63Jbkk00kSdBLRFMUcCUYTdkdIfEluHenSbTxG4ROpdE3VlGT0T03BIaQpIDMUktkECTHFUrhEXIZEK9EkIhRpOQL0pKYMxmUyykRIcAVRJ99VH7vmahmPZKLtFYWjF48Zka0m12UJH1n1n0pCy5KF6JHoV8HnKEY1YCaZXsZjCsekrIKiOYZyxmc53ZTwdanvkQhZNY+JRJhkXcF4Soo6eua74LuhAHQ1mnn/dUVTgyhDc4OTKByRifI3oAiO8t1QqOuZE3y/Eplxik01b+k5DYZ1DUqngXisSq95EZlPnS5VZlQ4pDlRJR5xgo7p0Yk3JgOmEQlICcpYJIlQZdQJPvmVSCRoSle8l37EKRLjTG8ZdT9Rvz83340EHP1UN5AYxRrdp3lvjPeqj3GVsFWMGIbEaSyaQIpxkB7UBfcsNPrkmEL/Vike3WTk4i66IW+K9yKREOOqAm3S1TrGJHDdyjFlZJ7lLAxWkjfSCNOLuGhW+i/Bg7Tejfo2Rxh2mEb+pODMpsk9GYpJ3hPjewrT5Nz1U9ea1iyAZxPkMU2KTjcSsd74DOIZupNwVM2j2FX849iJ5/TLuN9JByYeDb8iTDw2QDhOIE/IyB5540kJtBQJjKVmMiKPJfoC8agmFZG/JycvihIIUURqzkJNrks+c5AbLZMVi4ZYApd4FGVJJEWQS4YpmEiECYos1fypScYJubw5WpNPEo4pEnEE4XCYpXmSvGol8sgwvoqDou2PmcHkO6frlOi+WjCuRDxqWp102NVglPG5SyTSFIQ8oH/JFMlbTdaqfUyVM6plrpmoks/KM05sKsY+towL31eaQjAtMlctogQlBaCmyQgltMyiF496G5pzTaM8c06s8x3I1PwUD/F16B0pjvJVlRIpZobKIPMPazCsA3BCrA6TeFSrgROR/L6zFFuuOFcgHr2AVNOuBqYlmbZ5TB5xfvCjT8bTLHwmXPOyzqnPo+aMFLcovSaZXlTjGImWI8bCqB9AIynEcMlTCXKYVo5RK4VGUWtQTMzVOHrOUM2j1sNOaqAMz/k0z2TINOni7X1y/1YlHpV+XRpmpANRLN7SNuWaq8lbjDMZkVbBAuQSVKSKsVw1giQCdXn0hKCHJjuoNSYvHpO5cj4nxWOyxPMU41ZJ/SzRyf/8w2chx3rO8AJSNbMKX31A/e/hHsu1fKi7jBYnEMPK9B5MPBrWFn6D4lGppbb9tiDSzpCosyRW8UPVY4pASJxONDrhmG8KIRmJlNSkrKboDDMGCRmt6hIlCTsTUVNweaj2gCRG4tQAGc+OJFSSfTpewcuaQ1G1bRGGy32Kpmwq4jqLq9nW1XI6ElTtBEvvrtZBHdtJ5fk4SzwmmfGkXGbA56GpKT1DAhQherqvFo3V+2q2liCmGM43WyuzCfGZSuhfWDV8egyGkVXcshSNKvnHaK4vY9St/SDZW8F3KFGoueE02bcIN6uaEBd/xdWLx7h7RzknHrWtoBCOUnS7JjuGnUnw2WMS0xKzqknQ+5BYZ2yZQWiNa/kTvF2DYW0jEIlOaFWlew9dC2oiVSMv8ZgRf9BcyuQ3LyFYVTvGdOearBNqquY3r/TEYwlLN5iF6ccNmBHvME2oWTrpahzVdzHCa2qijjONxFxzdYZu5K9beSrPEU4s0q+k/GIalIh08ROfKOkybeZ43jVbM+6eQ/w/MUkgeL3DQtPN4gz/XM6NS6nyR4PjNFG4+hvGKeAqKSFLEMqUoph8Vqlyo8KP8R6Za4mI8T6JRz4XNGVPOYMh2/B+8V9pOIdK0qlC4UPzXnKo6/ZDPlGBP8+bfq19vlf3PHwWUo1r7WDUtC8T/eg9BeafR0I4by5TMBjWDNaYeOTnXPDPf8aB+aS5chNq3lPgD/9oW4gaCUjJ0hGALPCx9h0NG3pOkZbEy4pPphfEZ5ZJZKlU7TIHvR8RukrvygScS/eWtERgVJOAU+h4BFd1LBciIpKaSF61aq6JSedUupVAVd/HGDMQ9RmUeAxIWH546Kdxoldky32ZwvO1jwXunAX/RPvKCJQVVO+7eKkGRE0+qlHlsWIU5nPESLDu0Z2XEr1yQ1GnZnZmWjnGTW4lIMPMbMJxijsnHhUvZm4S2/5mH1+XEeWfljtx3lMZifMeuSNE9kk+dyzE+NBXkbYyP/qjWhv1+XIk710bDOsEPId48eh5c0UE55US1Q9a6UxHEpSuFrFAdCrNpSXu4hSWTE8uifJ+iT4vgpS2JDYlCBNM90o/ul+m9KfaRolHiUrvr9Jkive7QhqhvwGHFATtLjjdJEXlnbqN4huYIui2tU3PSFO8lF4lIsWT1T54EZlkYTWdi/JIwjCGKN2oG4sTr3EGrppHiUE+VyaX4BOx4I04fSD/uB7Z5ALxTYJnRBE844hB3V4oTvUA1cKVfvIB9d70/BKPio0ez13l1hn3/Z9go6uFZliT0PftClc1vplC6Hh1reFgDYlHJTq+1BpZP43vRgnAS5GVm9xVJ/vAL/7lj8W05K4HCEjQrU7CRO5EhWrcXLW9TKVY/+PKrUt0dVhDQ/AsdULn3TV+0PqoqxzqHm/+yJtI2ounwF0Ad7XK/HsMCC5v7r3689VWl1/58ArOB+7qcJoHr+X/Bfse2ips5Rj6QvgN8EyaHukbcf45p+4s92kiaJfI8251lW6qn13u9Sx6Lg+dc6Z9mvsuq9xXneV+9bPr2FnV96bYeZcGw7qE4PusDwrdVX3Xte6t63zhOX8+2M+nkwKr5mh/v3OtY3fkEZxbATy14mnnetUW7PJPddjuRBV0Ti0TajCmnHVbpnYXazl3olXmDuROJhdimbzpeXnZc4h3quPq5686UYUgPj5Ota/WhZ93YfilwF+ZekPdC2R+VoLgO/Z5QdD9oUa+8LPWcH7DX1U8Bpm2TK+6Lguu+8QZWN4fJiJVjtX1en0iUwiBLxKRajr0I4b1I/pSAv2jHzL5JdO+0mdhYv2fM/2r63xtq6+7dcKUkOs6X236mty/Oq6tzDwKzv0XfjQEqy/qutfsf9D4r0a6WInJWd3n/TdX17V1x36eU2TuIWvYylHX/WbrtlX/rvoeAnGoa140SlBqxL72TTyuJrxo1L9qEejLYkH5raZoDCy4XlM8en+Cn8tgMBgMBoOhYaAuoViXmXjkaygUf94KxWNQw7ii1SUevem1qtP07DkL8PHHn2DEiFdoL2PkyJF488038fZbr+P1ka/gtVdHYORrr3D/VWcjnb2Wt5G011diumZmZmZmZmZmtip7Da+99irtFbz66it45ZWXaSO4/zJef/01vPXWG86+//7bfO2jFExdgrHQTDzyNawo/mqKx0KrFo2B1RaPXjoC5RURvPHGOzj993/ELrvshm222QZdu3ZF9+7debwjdthhO2y37TbYtmu16Xq1bUvbLm/d8tvgXKE7MzMzMzMzM7NVmTRGTevevRv1yE7Yeecd3ZrtbjyGQ12CsdBMPPI11BR/gUkUVlvQM7L2+brv1T9NDDtn9lx88MFHeOaZZ/HEE0/g8ccfx6OPPorHHnsETz71KJ568jE8+cRjvPZo3rQf2OO0J2hP4onHadq6YzMzMzMzs/+/KU+qr9V1v9m6bvrd6rLH+Jt6zfHMM085++KLz63mcXVQl/irtsJ/Xir6f7Xd1TTfWTUfgMFgMBgMBsM6j7qEYl1m4pGvoW4BGAjGQpMq9/urEpD0k3808awmnNayWMH8XwFUZ5lIRBEOl7vF9jVmu/pHMRgMBoPBYPj/gmojP6q6cES1mqc1ylrLWyY1Z6mNtl59SNepld+/Ni8A/TQHXiw6c70bU3xfmjtLxuP8tUIhGfjjZtp3KwvwWsbXRAqagFarmCTTmnxWM/PzR3Wmia9l2vcrHcitW3pLk6+m6Jf8o2nCWzMzs9W3wiksfs7qut/M7Ldm+tbrC0sXDdGqp+TRNpjPsUq/uKkBq8/VFIirsv9x8ajHX7l45Nkqk3DMz7Cfn6gnmNSbP4+/x5/1/vDdut9BJ51J/WsJrCSSBesi6840HWpVhGqjSAx+eK104Iz+y3iuMIMzMzOrv60O6rrfzOy3ZquLuvwwW5dNmkEi0VdW+QExgfjztvrCUbb6387awloSj7620QlHZzynybzd0nZaS9m/QK21nExrXVGJQfpFoZdN6wXTBcVfMq7qYU3EqR/JnXZI0r+EJgbnfhC2TAJSP7zznhHMaTkpRdRg+B+ESwsFCIhRBaz/BkGpPEBwXDscg8FgaOiQMEynE1XN005tqKKK+4W2egJyRU6ui0PXBU5di+JRolELwcfpgPtaKD8Vy4vHaui+lSEr8VfwErUCTSKdRswJTv6IPKeGcdVHSji6msm8e4nPDIWn/PAn/MZg+F9AbVIKjmUqjAXXaluA4Di4R5ZKiSx9GpPpWBb45bqL8LrBYDA0dEgUqn+jLKh51FbHhc3Zhc3XP28SkB4Bv7p14bkNzgXntV2bWCPiUY+pV1koHvViajZVUzTmYhRxEWQTYV7SAvLMfFJRVFaUIEU1L9T1elKxGLWmvy5okf40X7qE4+LiYpSFw04wBnGQeV1P36Rq9dIlJFNJhqv46BwdGAy/cQTkE+wXIrgmE2EFYjAgrgC6rvPqLhJnOpSpBUD3BH5qG9wvaBuNRt09BoPB0JChwbq1axYDAVgoFnU9EJL1My8UZeLMwgK3zolnZbU5eW3gVxaPBTWOWYrFXJTiUcIxghyPy0sWY9R7r+Oqf16O888/B5dcejEuvPgiXHrllbjksstx0UUX46ILLsC5Z52FK3j+rjtux4svvIDJUyYjzoxKiFIQhtUHkvsynVU8lKXJXG2lfgy9fG2dgKSLmvmowfCbQyD6RDyByKsLuhaQl7bBfiAoA0KTBbWL2hfkNjhXW0xKOOqcwWAwNGSI79Rc7Wscvb6R+HM6xykgpzbId36N60BM/pzJD/FkwLuBCeJQ8WfAv6vi8F8Da0E8qqmawjEbqTZITEYxbcqnuOC8M9Fpww5o1KjRz1rn9Tuix5574pxzzsFDjzyMD0aPxvKycicY1fituskYSwgJNVHzRetdZ1J88fxxvIDkDyDxyIzOxKPht45A2NUmHu0HJje6HhCWoPM6p3sDAajrgfvgnsCNm/mA7grPaWswGAy/BXheC5qrxYO+udofizvFi9VN2Nqvj8l9LBZ33CpoKy4t5N3gfOBmbWGNiseg1m9F8Rjl2w97c+KRYjIdwmdj38WJw49CqxZNq0ViURGatGiJJs1bolmz5mjTogWaN+Y5XivKW5u2bdG+fXvstvfeuO+RRzFvWXFV+NFMDqFECnGKRvWJ1BQ9qXgcmQSlJVU+lSSNrk08Gn7jCEReIeloX+eC0mywX1i6rcsCvyQMA8EYi8Wqmq8DktNxOBx2TdbBOYPBYGjI8Bzom6clHgLhp22hcFRNovYlIOtjqs0MmqUVhjhWvBoKhRCJRJyI1LXg+trEryQeJR8l0PJN1oXiMRPyRvE4+t1XMeTQgRSITZxw3GzzTXHgoYdg2PEn4MSTT8Upp5yKP5x6Ks449ST069UTbZo3rxaZssaNsePuv8MDjz+Ncqp3hZ3g+w0lkojE+YNwXy88xf1kNIIcfyz+oTHGJh4Nv3EEZBSQTnAs8SfBp2OZiEkkJcEX9GcMag8L7xcK75EfIjqJRd0jyL325Zf8kDuDwWBo2BAHisu8BU3O2gbCUebFpb9eP5Mw9P3FxZni00KO1lYiUmJSHL02sW6IR9d8ncBH776CQ/bvi5bNGjsx2LtvTzz02KP4aOwn+OyzzzGJ9sWnE/H15xPx+ssv4bqrr8JJJ56AHXbYAS3atEWjIn9fj9598PgLL6EsEnVxifHlx/jSgyxP4jERDhWIR9WKmno0/LYhkVco/rQVGdUl6uQuKOWuDuQ+EJ1BOIL8K6yRNBgMhoYLLx4D0UeGq9qXiFQtokSkr4n87yBeFo+Kh7UfFNJ1LiiMr038Sn0eC8VjnCcoFvPCMZeu8Pu8PubDN3DYoP3QokmRE4GHHn4wvvj6KzfHYzXou5qbXW1hDnPnzMZNN92MHXfdDY2aVDd3HzD4SHz2zXeIM9NSHFJ0G3iTifPHoHp34tE1XetHsEzN8NtGbfEoIhIBpQvOCRJ5haioqMC8efPw/dTv8dVXX2LSpEn4/PPPWKD7DJ9++ikmTJiA7777zpWGayMQjUG4heEYDAZDQ4WEomoXJRS9flBXHt9MzavOotEwZs2aQa6cSK6c6LaffTbBm47z5q95Lv3mm29QUlLC+z3En2q90Tbg0HWBS3818ehq+LIJWpRGsZhlRpMLIZssoZ5cTldRjPv4LRx92CC0a+mbrQcPPgxfT5nMax7uXUnlJ1RzWZ3B/fjTdJzzt/PRdv0NqgTk9rv/Dvc/+TQWFJe6n9GVDSg43UtX/0eqdycaNSUQPwDF0mD4LUPffmHNX121gdqPRWNOVKp55Ntvv8UTTzyBs88+GwMHDnS1/FtuuSW22mordOvWDTvvvDP69evnBq298MILmDZtGkrLSquaW1RKDoUqXUk5y2ODwWD4LUDiUWtYS0DyqNaxuDSNRYsW4Lrr/o2tt97K8eaWW26BLbbYHFtsvhk234KmrTOe4/mddtoJxx9/PB544AFMnTrV8WfAz+Jv8XVQE1nI22sDa0Q8OrHGP1VGYaaax1wwRY9rpvbiMZepoMos53EFxrz3Co4+dCDa58XjoEH748PRH7tpeJyfynwySWRTMaRjESRpmuFdNSfvjhqFQwcPQcu27d29G26+Fc48/2J8+f0PThaq5jHq+m5RdDp/KBz542biEWT4g/OAZjA0QChxyH4WdKQa+/y+a14h0WmdVh37/jbq75jCe++PwtnnnIdjjjkO+/TsjY026sJ05VsEaltRURE22Xhj7LHHHjjooINwznnn4NWRI1FSVuZCSiQTiNPPVJbi1YVUE3VHPXioQjMYDIa1DXERuTKXQiwRrhKLWuY4Eq6k4FNLagaxeDk+/3wsjht+dJ28uTLr2KE9dmQhXVx6+RWXY/SYMSyM+zDSaRbu4+pq5Gsh64s1wZ5rRDwqplr2Tw+nKXKokSkd0+5lu3WsNUG4aiBzesl5y1ZizNsv4ugD90P7pr7vYv9B/fH2B6MQSahaOICamCkYk5WIlC9DJFTK4yzmzJuHK/9xFTpuuJG7t1mbDtj/0KPw8cQv3YtLMD4RZmCJVMbVQGZpGQrRdDKGjKt2XhOv12D4FSAScaZ9v5FIC0zHwZ+c1mJNx7nVN8/9VASJmJqb/V3Tp0/Hk089g8MOH4zmLdsxLfm0WG1FaNa0FZo1aVHrfLW1bNUCAw8YhJvv+g/mLlmmgBFimS3KIBSqpGph/II4BjWjfpWFQlfBvnNVYAaDwfBrgzxKTsrkEkiko0hL05CORFuJGMUktQkQQTw2Hx9+8ByGHnMAGjf13NimbUdstc2O2Hm3vbHLbntgl913xc6774Tttt8Gm3TphJYtahbQ26/XHsefdDJGvPI6C+PlLvRUOod4Kgctjifar6LDmgfO9Ddg0V8aa0Y8alizavfcEoFZSr0cTS+b54JaP774HKJ8XmVcetlRjH/vZQwb1Bfr5/s8DjrsAHww/hNEVVtIqFo4mw5zW8kMsByJaDGSMb5QitIlS5fi1lvvQOeNN8u/+ObYrcd++Gj8V+5ejbqW7IzzLSa1z0wqkYr7H969YoOhgUGfrQhDNYdqwsizhJKf+gkr1ch07K4p/WRiSMUqkE5UuLSUJdHFo2UkvBCmz/gB191wPbbq2s2noSat0bh5e3To2AWbbd4dO+/cA/37H4ghRxxDOwoDB+yPvfbaAzvu2A1bbdUFbdsXzH7QuBE22mprXH3rf/DjknIUM5lpUi4WG90crEp1QfwYe0bP98fUalGqEa2+Iqt2FZjqMEWN7hXQDAaD4deB2EfVYZrRJcF98S9PO4pi8ThXwZ1i5NI/YczohzHs2P3QpBk5sagIO+2yD849/2rc99CzePDRp/DgY4/ioccfwi2334CLLzkXQwYPwg7dNscGHdar4tIOG3bCwEOG4JW33/ctOCS8cCKLGEWNaN+VtUXy7oCRoEkruZYkxjVNU9R+aZ5cA+KRUdTTSBYzE5BgjPOcTLWQ/OOuqRZSVzKu5lHZSgTj3nkRx+3fCxu38C9tgMTjxHF8Uco8eFsyhkj5YmTiy/iiKhgMhWRGS55FUFpaiieeeBpdumyZf+nNsMc+/TF6wtfuXmVHMs376CYOV5wYv2Qunc+GDIYGiKCglmGac+TlTznxmDcnHpUmXa1/jKQWRqJyKeJli6jkykkyMXw/9Sv8/R+XY4dddmba8YW3pi06YI8eA3DR5dfh1ZEf4osvpuLHH37CjOmzMPOnmdz/EVO//wbffvs1Xn35aRw7/DB07kLSK/Lpt1HTpujcdQdcfvM9WBTzojFKUycR7fu6T8aR5h5Dhc0sqc51OF+Z+YcUfeuvjmR6RIPBYFjzEPckyV1RmqYAFP/ytOjJiUe1hi6kNvkOY8feS/HYC42bkA8bN8WhR5yAl18bi7mLQlhWFnKLmpRXsnBduhgLF03HtKmf4d03X8DfL/sbtu26VV7LNEK7TpvirIv+jq+mzkIlRWOSdC6TnKohHlWRoBZexswL3N+oeJRyz+SFo2ofR7/xLI4d0BObt/GDXvofOggffjYBkaR+FXlHsRcpRSa2lH6oCtdnQeFQmRsN+vDDj2GLLbf1L7yoJfoNPBzjJ33n7pUPch1OZykg9dOrBjJLAZnkj6DXazA0QKyueHSzHbDARfGYqlhMjqlERdkS3HPPbei+Y77GkbZB541x8OHH4sY7HsaUabNdUKtCLhvB+Anv4d/XX4Hd9qYAbUx/8vOw7tr7ADz/znjML4k68ajaR1cDyXglyQmiOsd9/OdpjnF1KbYu89dNPBoMhrUDcU+ibvGYocrIaaT0fO5/g0/G3o1jhvVCkQrUjRvjqGN+jzHjvnetn0LdvBXH91Mm4PTTTsB6QQ1k42bod/DReOntj1EWy7j7XHDc+R8Xj6p9rMDHI5/GsP49sUU7n+n0P2QQRn/xGWJ0r1tTCfqXCvHdlFLglyLNjC+bjiIRj+L777/HP/55DTbfoivvLULb9TrjhFP+jMlU6oLEojKsMHNT1T7615uj3wkkKCB/6RdrMKxx6KNVwlhZszVNya1KPIpusjFk4xXIRIp5MYZ0sgLvv/MaDmVaa9qsiWtaadaiBQ4ecgxeeesj/DRnMeLOA97N2yOhDELlCcTCcaTVF5npR03fagVQiiopXYTb77oB2+64HZq2acO02AztOm6OISeeg48+n+HEowpxTkAySuqLLAHpSND9yz+E4lqniQZNPBoMhrWF+ojHBdz/luLxHorH3ihSYZqa5rDBJ+ODj7+i7vBMFyd3p6iFso4RY64Qrm0yVoKnn3oYPXv3JC/7/uXb7dwDt933OIrDSRdcXMGKNx1lcmcF8ZhhlP4nah7DGPPGsxg2oCc2a+VHW/c/+AB88tXnfEl8DfQyGqFQjJbw/VRQOJYhHl6OTFKZFvDJuHE46uhh6Nixs7t362674N833om5i/18Se6nYdBR+hPn1tU88vXG+GMnGU+eMhgaFvTRrkI8BsJRTlxfGBWX0hGkw8XIxP1As7Ll83D5Jeeic6eOLt00bdUa3Xf/He64/xGURpJVci3FP1EmoEg4jWSCso0e5zKkpXQMCQrReGQpXUkapjB7zlRc8Y9L0XHDDehnEQVpW2yxfU88+ty7KKNiDApyqnmUME0w7mnG248e1EMwsDwBekYuNMXGxKPBYFhbqJ94zFE8jh1zD449rheauAEzRTj0iBPx7qhJiOSrHqU83GDifJE6nSynbFKrahRffjURvz/j92jd3nNzuw02w1kX/hNzloQch0ZJjysVj+qOxwv/A+LR94T65N2XMKx/L3TKD5gZcMiBGD/5C/eChYzmpGPmp2l+NLl4NqN706ioKMNNN9+MjTbugib5eR579BmAN979CKG4wtFoT/V19KJR/iUYx3g2zYyL1xnHX/rFGgxrHPpoC8Ujd90hraZ41B+6SVOysbClmsIsS7aIV2Da5E9x5OEHQmvEK920at8BZ55/Eb6ZPtN7T1P6SdF7jVtLpyjbxE9Ue2mtZR0uZym5lEm9jN6XIBZexvCSGD9hNHbZbRfnp2ofN9ioOy7++y2YOmuR888X3iQe1XWEpW9GVmTHGPN+8gNJOKupvZzrQhMNmng0GAxrC6shHsfeg2HHVdc8DjroGIx8cwIqovLDaxFfPyiui5HGw5RPYfoRxexZ03DhxReiZdug6bo1Dj/29/huxmIXnDjZiUdH1OJ/RsB1TeJVcWiVeFwzHLkONVvHMH7Uyxg2oDc65jvcDzz8IIz7+gv3kleGZcsW4sEH78Xee+/tOqS2at0Gbdqth+NPOQMz5i5y90aZOZXH026gjF5kivGLZRh6mnFgTuibywyGBgZ9tKsjHpNMa4lKnowixxJubNkcvPnSk9hr9x3zIq8RNtp8Kzw54hUkmGZEZ5FMFpEU0zDFoiMqBpPVvrqQxEme8UqkEmXkLAnIUsQji3lXFsuWzsPZZ5+FjTpvTH+L0KZNFxLnMLz+3lgSZlCIU7N1XjzSzyrxyEJdOkUiFRG7FFtookETjwaDYW1hNcXjsb3z/FqEQw4/Hm+/PwlhjZSmK/FfMpugDtHMM6pE85Vj6VgZ5s35CVf+/Uq0bNeB9zZBUbP2OOK43+ObnxbSnWLhOb5u8ej59DcrHnUlne/vCIQw4b0ROHb/vujQ2Nc87ntQfzz3+msUgYtRWlqOstISLF86HwsX/IQfpk3BhHEf4s7bb8Kev9s9/+M0Qut2HdH/gEPwzAsjEEnolVGaJlMojyWrxKN+sCiFY0I1mS7D+qVfq8Hwa0Hpjd+5xKP4g4d1i0d++WmSk+YgE0nl4lg4fQpu/Ocl2HyTDV3aadmmDQYcchg++dLPUCAqq2QaqWT6ibGYKz+VXCQes+oAmU3yOIZ0opS6dAlF5HIGo4nBE4iGluO1V15Cr30C4myNrbfeDQ888rxrAVDXEYlHTd6vbilJzb+qZ+BDmHg0GAzrLuonHtXnUeJx6DG98hxYhCFDT8fHY6e4/oriLBWcE9k4UtmIF485LZvMAnm0HD9M/QbnX3BBlXjs2KUrzr7kGsxYyMJ6EJw4WR6JmFcQj17vBKz5S3PkWhePKa0yA7Xxl2HCuy/h+AP6YYOmvs/jDnvujD9fcB6uv+Uu3H//Y3jw/gdw+y3X4++X/w3DjjoUe+2xE7puvTma5d03adoUm26xNe5+8BFEozH3svTSosyYQhSSCUZLx0lmVnFmfmlmVlbnaGjYUHrjV11bPPKKIwydcNdJKloeVF09XKfsHKZMGoOTjjkM7Vv5Dtlbdd0Wl139b0ydu8Dd6/sJM63QJPIkHp0Y9YqU2yS5spKcVYFUfDlCpXOdgJTszCUr8O1Xn2MwxagnzibotMGWuO32B1EZzyLMABLyk65VmEuklB5VTmaaZHwlHP1E5gH9BaaYmXg0GAxrC/UXjxowM/SYoACtATMnYdRHX7k+j3Ke0HgO7pFleaRJzFRkJ1enInj7zZE49PDD0LhZK3fvLnvti3ufeBFLKjVNkHiTQTgqdqRMo4//K+JRzda+5lEThZfj0/dH4JRDB6JTs2buZbVZvx022WZLbL3tDujWbVfstMNO2Gn7rthy085oqZGh+R9E1rZdOww5+ijc+8BDmJ9f1UKTaeoFx5nraXRTkFmpf5Wa5XjJvWD38g2GBgmlNz8hrD5j6bqa4lF/uOfmH6Mg0yT7MQ2WyeDDt0egxy7d0DLfx3jHXXbHY8++hIXlYVKiqCwDDSqTX0kKvGgiiRgtk1bKIZx4rCBfVdDfciQTSyn6yhh4pavhXDJnBv50yqlo0din5+bNWuOfV92IknASFUkW5vLpsbZ4dDEnPzgSdS4KTU9l4tFgMKwt1E88Fg6YaVowYOat9z5HWVgDBSUeVX0lziOXuhkrJCBzCJUswQXnnYsNN9wQjZo0R6OiZhh87Gn45Kvvqwb9RqlpHPeJ5P8XxWP1gJkQJlI8nnxwf3RpVbBSxSqsfft22GFHvwbkxZdeig/HjHYZnKC/7sfJmwY3aUoQ9zIVBe5z416wzGBomOC3mxePgXB0SYxX+NnniUWkwhShCcKTFHqR5TwXxWvPPoJtN+2EZvk+xrvt2QNvjBqD4lgaEXok8aiVodSpu4Z41NQHLlxeyVCMSixqjfoshWOO+xotmAqjYtF8nHfGn9CmqCWaNNJAtsY4+68XYfaiZagkB6g2UybxmGJhThOEZxlXLaEo8wIyoL/ARIMmHg0Gw9pCoXiMk7OkdXja0dOK4vGYYT3hJglv0gxDj/sjxk6YJk/qRJZc+t3kibj5uqux3bb5Oatpm267I26+52EsrYwgQoLXdIOa5sxxn+N4cvL/onjM5QXkuHdfcivMaKoejf5cv0tn7LT3nthpl99hxx13xY477YKddtwRv9ttZwzafz+c+ecz8MAD9+Hzzz9DSVkZ/fKCUBmdRnEq66lthdmPXnpgBkPDhL7f6prHQDhqq2O3TrQIxTVZs5CWUq0gRR4F3ouP3IOuXTZE4zxB7d1nP3z86VcoTWQQUtcOphK1DQQCMt+o7P4pBTmyogvXTK3ZD2LLqPfod0b9KhOILFuMv1E8tmvcEs0btaCAbIHTTvkzpkybgQi9kASVcFS/H1+Iy5AaVLPJEKvW3w7oL7Ag9Zp4NBgMawNqak4gSd3C4rTTOI6EnMAgz2aLuTOfnPgNxoy52/V5bELxWNS0BQYedAweeOQVTJr8I77/fiq+/mYKvpg8CV9N+QxTvpmIN157Hn86/SSs366142R1xdtsi64455K/46sfZzi2rUhk3WInall13OeInnv/K+IxR/GoHyCVreQp9XmMYPz7L7upejo39c1o/Q4diCdGvMCX+z1++OEHTJtGmzoN33/3DbffYu6cWW6anqxGm+ahzKg8EkFlPF4lFrUN9n22k88EGR8Tj4aGDX2/6oKhdeQLyELJ0FkgHmM0FtIyYRrFXawYz9x/h6t5DEq3++y7P8ZO+pbCjumV96rmMU56VBlbqbVaPPpwHVnlJPAoMylG05El3LLU7darT1GjFuPvf7sAG7Zsz8JgY1oTnHbamfhm2kxEGC2l2hriUf/yNY+uz6PVPBoMhnUO9ROPWYrH0aPvxvDje6Nt28ZoVNQY7Ttsga227YkddtkX3XfYHd26b4/tum/H7XbYaedu6L7dFtigfVvHx21bt0bv3n3wz39dj0+nTENZMuN4U83WoVTGrZTnuM+JRQYuqxKPZEiSYiFr/tIcuQ6IxwpuNUIzis8+fh3HH7AfOhZ58XjQkYdi4jeTvbf1gF6Qah0jSf6kKWV4WknG15gE5msn84IxaOfTvsHQAKFvWRSygnj0Xzk/7bx4VK1jhqIuRwGZCyMbWoon774F2xWKx74DKR6/c51IvCT0FKnu2VXiUcmF1zyU4sSYCRJlBdLRZdyW0oHEI++keLzmksuwcTs/ya2arf/0x3MxbeZ8V/Po0ivjJwHp5KBEsCM+CUjGwMSjwWBY51A/8RjUPB43vDdat/GaRnPeNnJdeDzn1mVNaX322RsXX3ghXnl1JGbPX+BEYyWtIuVXx4tTs2iBBcfzjjN5ti7xmLc1wZFrXTym3WhrNXOFMGHUKzjxoH7YsBlVOl/gfgfuj/fHf4JwIg3qQcSj6gvFl8XMJqMO9uk0MhlmatkMkvl5GzUQRhmSshkTj4bfOvQtr1w8Ul65poygybqCF8tdWsuGl+KJ/1A8dqkWj3v3HoiPPv0GFUy+6rat5upAOtYtHunQhcbEmdXk42VMm5XkLoaTiSC8fAkuP/dv6NhSyxQ2QvOiljjv7Esxc/5SJx7dnUx7K4hHxT7LqyYeDQbDOofVE49Dh/lma3Fgm7abYJMuu2GrbfbG9jvthR133w1bdN0CzVtWC8o2LVvg8AMH4uEHH8T8BZo31zOthGMptVBZNOHmrvZsKC3Dvf8l8Rj0ecy6eg41p5Xgo5FPY/jA3ujSyovHfocMxKgJYxHTnHLymd5mJR7pj9N7CoqbJMVjNJlAOB5DOBlHNJ1EguHWJR7VPFbVVG3i0dDAwS/ZUZmklBeP3rx41F8JuziN6SxeRlW4nPsUd4lSPHv/Hei2aeeq1WX27DkA7479CsvpPMwkUVM8+gJZIB59ismLR43ilv9utGCE/EX/U2GUL16Av/7+DDRv5EvdrRu3xaUXX4WFy8sRpQeq3QwGssmnQvHomsQZqvO/hum6iUeDwbC2sHri8eih+Xkei5pg59364ow/X4lrb3wQt931IK6/5Wacc8HZOOjQAei67eZo3bqV64O+0QYdcNghh+DxJ55BcVnY8Zu8L0sksaCkAuXc6ljM7+oi1X3IDYrUPiMjTuVNv2nxSNnHeygesxSPrz3lxONmbfw0PL0G7oc3Px7lmqGFJHOaeIzZWVI1jl5AuhdEvxPZNBKqfdSWYar2UbUlvsak2jQpuIlHw28F+nJFH4ForC0ePalIPDKNaUnCyDKmQYq7XBivPvkAdtyqS5V43G3v/njl3QlYEvFFOj9QJknyYcphGqlKLvlwZY6+MnGk0xr4pvpKpvS0+lXGULxoPk4bfrwnTlqzRi1wxeXXoCScoCv578WjJKHEY8aF4wWijbY2GAzrJlaz5vGYnm55wqImzXHw4cfjuZc+wJyFpSguKcOiZUsxffZPmPj5GLz86rM49ZTh6NDGz+vYtk0bDDrgYLz6+ruojIkx1d8x6xZt0Mpf4s4a4tFxPTmSbnjabX6z4lFX0hKOmucxU4wxbzyLUw7ph63a+0mL9z14f7w3bjSiKbqld5FIGslEGindz1ws0H96MT7D1JYZEt9ckkeBeJQF/3wfsPyNhcb/BkNDgj5ZWd3i0Z/1hKLBMhR0qnmMktg0YIak9+Erz6DXbjugSb6Pcfdd++DBZ9/Awgo/2CxBPwLx6EdDVyeVwBR6muIx5cRjnOmSsjMnEZnEvFnTMfyoo6rEoyYK//s/rkOEbKbioOgwyeSodCt/Nc+jputRydnEo8FgWDexGuJx9N1uqp4ijbZu3NRNEv7BaL+CV22Irz94/3UMOeQArNfWD5pp3bodhp90Oj6eOAkVaq4m0SmYingSIU2bxn9VPP+/Jx7V1MXMLFOKT9563s3zuFkbP8/j/kcchDFffIpENgO1XMeiekk+FMFlOFLgvK71qpVpqplatY9xZj61xaNr2HPiMTB6UJgjGgwNCPpkZT8vHinoNMraNSdTQGbVxziCyR+/jeGDD0abli1deuuy9a64+Jo7MG2+n2Q/6XxI1RCPSr5MOQVGN0xrmYwW9Y8hldJgmSS3YYz+6H0cOGCA81ujrddfb2PceddDihV9pXikXzXEY6ZQPGq0tSSmXBeac81QTTwaDIa1gdUTj8OO7eVqHsWDWt//7fcnIk4iFX9q9bukZpagf+q7WFG2HM8++Rj22nVX51626Zbb4aa77sOspSWIkejEm2XRmKuN/J8Vj77ZWjWPskonHocN6I2O+bWt+x00EB99Np4vWi+Ht+nH0RtQEM4b+ptIIZZMuiZrX+OYRjQTR4w/Yt3ikfEKzMSjoQFDn6wsEI+FfXxXEI9qStZk3tlymga0VGDeN5/hqovPw0ZaxYDprXWHTXHAUSzlTvrB+e+kGtOJ1pwOylqOjHS+wBSS6hLTmQjTI/3mmWVLF+DGG65D9+26Ob9bNGmDgf0Pw9vvjOZ170ecfhaKxxT5QkJUaVTzPGY10Me5LLQgRBOPBoNhbWB1m617oZFbiKEIBx06HG++M7FqecIKJwIrEGehOx7XlIXA3FkzcMYpp6J9m3aOO9uutyFO/8u5mPTtVHeP2nViJEx1zfPikQH/NsQjoZxA7cyqSeCL9ZMNB+JRuYUXj/oBsv5V0CIY89aLOKp/L3TMj0wadOiB+HDiuKoBM5rOUSZv3DG9SqWzSPC6H2GtH4ThUcnLtB9YIBwDqyEeAw8NhgYGyTbJKK2OqkEtfmALz7hvnOnGEQrTVyAe1WQtS5aicsF0PPXgPdhu661ceitq0gKbdt0Dz4780BENfVCqYZJlGCKjfHLhrjO58SlHMo7iMU0yTaolAfj++8kYfMQRaNXS999RrePfr7gWs2YvdNfld03xSApMa/Uaicc0C4pkjQzj7kLyMcm7dKbnVtj+yGAwGH4tiHN95Vea/OpbM3naqbQ4L2t9fz/P45jR9+Koo/2AmcbNWuDQwSfg1dfHoTws1obTLqroSpKj0+Jo+p0KVWLE08+gxx57+vuaNMfmXbvjzgceQSipRRvUtpPXqvRFCkec6U36xnfpk7m6OrpbExy5ZsSjYp1XesrEfO2fMjS95OC8pJ5eQfAa4vjgzZcxeP990d6tA9kIBx9+MMZ//pmbfkcvJJXiq+LbkPcB/AvyVcDeKCAZpsxLRv1IvqZCNaL6od2P7Yw3O88KPDQYGhD0XfsiU7W5YlSheMypNEwBqel63KjoCFmrHOloJSZ8PAq77djdpTdZ85br4aLLrsKshYuc/0pTKf5RIS3J9JdMaQJv+a0rSjfaKjwWBDUwh+k5EYvg5ZdfwLbbblfl77bddsELI95AOJZySxHqLklBWZqKNJFiYY8k6tKmnoLiUULSh1Fouq5nrnnWYDAYfi1Iy2Td2AttWdiNk7vIWcip5WUJbQEp8keMGfMIhhzV13FgUdOWOGroKXj9zYkoLpMqyfMrTbzt98jVqSSWzZmN048/vmowo2otT/nDXzBt9nwkqFk0UXhYTd7uLjK+NJDTQdX/XN7AeIptnf75hbFmxKPo3GVevpbPR7+gxi9/3lfcKvsQ/afx/rtv4OBBvo+UbL9++2LipxNcR3q5SDHjcqOka0FnVmUGw28T+rqd/OJetfmyZmAiJFpeROYo8HIUkdmE+ibmMH/2Tzhp+DC0aZ1fDquoCHvtuScee/IZhOKe0lwIEniJFC2BDIUe0vRPfXXSMZq6nSgc/o1XYsyH7+G0U09B+/YdnJ8tWrfHkcNOxLhJU1gQ9KVtNYWn0iy9U0hmWJiMJ6JM3xKMvOaMlMjzwcwIKxpjX2AGg8Hwa0EyRr1qtM1QOCbDFcgmtbrWUvLRPLqYRzE3Cx9+/AQOG7yv1zRFTTB02Cl49/1JKC6VIvIMTRYle6rQLz4ll6qCLZnAnddfh6036pxfPrYIffoOwAsvj0Q4mQapGZUJ1X06uelEpGd8X5XgKxHUiUk914OrvyxRrjHx6KtP62fBPRMnjsPJJ52ADTdcH02aNMHBBx+I8ePHMYPRC6ALVythMBg8lCoCCsqLxFWYBqFkUlGWkkNIJ8K8PYVwRTHeePUl7L9fH09wtFYtmuGEk07GB2MnYtbCZYima6U7pVk1KaciyEbLkYtp4nESHwXppAljcPrJJ6Bdu3YoohAtatwMPfr0x32PPo2f5i1y4jHDdByPR1FeXoJo1DfViAcSiZg7lkBViX5VYrG2GQwGw68G0a40Gak1lyS3xtWPXAMNF7DgO53CbSaSmRl46/1HcfChvuZRdsSQ4Xjnvc9QWubrAsXMMRKYelAmczFyM/1JUECy8PzlJ+TSY4aiNbWQ7l1//c7424WXYdHyMsf8WmFG4rFQQMo/35St+kjJ0sCFrvyyRLlWxaMqbVOpBGKxqKttWL58GT4e/RGefPJx3HffPXjzzdexdOkS5zaRiLvMRRmJwWAQlBYC8VgPo1jMZSjMklEWbkk32STJKoIFs2fgsgvOw4YdfU2hbKONN8YBhwzGP6+7BWM/+xKhiPolrwxZLFswE089fC9OHHYkNtu4etWanXbZHTfcfjdmLFiKCEvoUQrDcCRCkegtlRLleaimMa3aSPVhJiFr9ShhRQG5oqA0GAyGXw2iVCk2aTLxlLoE5UrIRfORzvxEZp6NdHYO3hn1BA4fvB8a58dxHHbEsRSPE1Fe4cVjIpNzhfM4NU6KHmbS6lIkiyK2fAnuuu5arN/Ktwqp9rHfgIMw/rOv3X2KQr3EY04m178sUa518ZhOJykelYno8euqWcw5YamaChOPBkMhlBaUjlZHQNI0h6Luye/HQhUYPepdnHrCcVWL8ntriq2774JjT/49/nXdTXjo4Ucx4qUX8f67b+KjUW/j3TdfxSvPP4lnHn0A/7j4b+j5u53RupmfKUF9dZo2a44+/fbHC6++xfA8tJRoOBKlOPSiUelZ3VESCU3+700CUudWFI+1zffpsRYJg8Hwq0J0Gig2DQJ2BxXkooWuuRpQn/FF+PCjZzH4qAFV4vGII4bjg48+RzRO/qKLOO+NpLx4TGbjyGiOXA26YaFetY/vvvwy9tppFzTN1z5utfX2uOu+R7CopNLdr1ADAVm3eKQL9Xn/rYnHQpOI9B3kqzMCnZdglPlRmJZJGAzVEBkoTchEDqu2XDZJDvFEksskkXUDVHSNZJOKOwF5wrCjseVmXUh2WsCfQrCIpNWkBZq1aIMOHTfANltviT332BW99todu27fFZt16oC2zRq7xfxlvn+Ot2bNW2KzrbbG2edfgq+++xEVIb/MViFUMIzFYgiHIwiFQtxqygqtWMM4rlQsBvvV/PFLE6PBYDCsFKKcQLlpRKE7qKRpsIz6PKrFdCFGffQcDh/cv4oTBw85HqPHTkIiLQ4DYumsG/gSJw/HM1GkVYMZiEfy2vQpU3Den85Ep/X9dGrt19sQJ5z6R3w2eapjPAnGlYlH19fR9XXXFfH8L8uRa73mMZtNu1rHQBwGx8mkMhAvKHVOW2U0BoMhgMiAIspZtUis2/zciclEhCIyhVQiinioHClHUrpOIotUYvzYj3D1P6/ETjvvUkV43nyNYmBNaIVCMbCNN+iITTfujFYttUpUYzRp2hSdN94MhwwZhv/c/zCmz5zLdO6C8+B+hqXvdFoFyLQz1TpKTPrayQIu4XM4q9oXQXrzbP7LkqPBYDDUCVGNaEeaUVP0OOlWSW5aRlvA/cWIJ+bgvQ+ewxFD9q/ix8FHHo9RH37GgrRqGoFwPIPKuPo7kp/VrUi1hOkospEKKsIoKpctxXOPP4lddwr4uDG233EPPP3iSFdjqSgoZJn2/6fEo0ShmqR9szWzQQpFX9uofpB6FVL1zCooJAv7RxkMBoFprV7ikZSiuU9T6vrBQhmFZIJiMRYqQzxcjmi4Elk3t2ICc2bPwksjRuCKf/wTxw4/EbvssTfad/Al39rWnLZz1y1x7JFH4MJzz8Zdt96ERx64F+ec/Vd06bJZtdumrbD73n1xxp/OxSMPP4Xvv/uJIpbRyiMRT1EsihP4ROQ4DZrR1FxOHIsvGP9qsRjs+5GEa2o0ocFgMNQJUY0ox1GPDqhfcpW0YvLVYh4vQSwxDxM/fwtHHXNwFQ8eetgxePe9iSgpY0FZPKf+jiowq3CfJS8nI8hEKUJVqKcmyqVT+O6rr3HwAdV+NGrUDH+/5kYsKil3ReYgGl44qhitiXokIQsF5C/Pj+tMzaNqGgu3viZS8yj5WkdfC6kXYDAYqhGIR6WnnzOmt4zmYQwzPSW4T8HG/Uh5KUJlJYhJQDKdBYiR3T77+lvc89CjOOdvF2L48SdgyJAjcMRhB2Po4MNw4rFH4c+nnYj/3Ho9Pp8wGiVLFiDDQp/iNP2nH3Hl3/+J3X63N5o19xOFq/aycZM22KH77jj3nIvw9JMvYur3PyIciiIaSSAWZXwSJFHXh8ijqnnaEWGhSTT6Pj0mHg0Gw68KUlQuqPaTCpRAc8u+lvGEVpgpRjqzFDPnfIk7/nMDDjnkYAwadDBuuOE2fPvdDIQilHf0Qy3eyWwWCXqWysbdLBjpaAiZeJT7MXJ0BpWlpbjvnvtwzDHH4eBDDsHhQ47BY089j6WlZY7VxXzVtY6O5fnvNy4eZXpUbSUYNU2HBs9IMAaZhkSjBKUXkwVVFQaDgQjE48rNMZ2zHNJMZxUUi3GmM3evCm/xGNIqtCXiiEdIXvnBLILmE6uIJlEeiqCishIVFWWoKCtGRfFSlC1bxC1L2OEykpx63eQJSuk5mcCixUvx5DPP4aDDBqNt+w1Q1Nh3+tZAnLZtNsCmXbbBZZf+E/PmLmI8GNNMjgJSA+g0VY8nuprisbqm0YvGYOFTxVdcYuLRYDCseUi6uHkeRT2kVnUFyqZD3JaThUrJWSXI5kpRVjEXy4rnoph8OWvWHCxbVoxUOoNEilxHtRdNZBFJptyKeFpcOUcRqRagVKgCMRbok9REOc2DG4+TeyvpVynmLyL3ko8lOgtFY2DV4jHgysDFb0w8Vvdn9LWLEpE676fsSLrrWf4wVvNoMNSF+otHpSWJxyRFotKS0pkrlHE/GYtRBIYpIBPIaJocFovrTzVymact+ifh6MOk8KwM4YuvJ+O2u+7BfgMGoahJUAvp7dRT/oQF85c6t0JSE9+SVWuIRyccAysUjTFa1O2vCXI0GAyGuqB5vDXbWb67uGuxSSUqyaWVFIcliCeWIEMhmdFSsK5gy78ZclmeomLiOXJsigXmeCaDWFojrSn01HQdj7iaxwx5Ok3RmE1J/NWEvFGtpSo9a4rHgPXVeF3Nm2uCH9cJ8ShhqH1lOMF5Lxb10MqEfCZn4tFgqA0vHmv/CyhE5tMQz6og5tKUSERpNH9MgZZKxpEkYWlfplpA6Td3J7daAlTT7GRFgCzxOkJUmiXZZVMxbijm8v5nqtJzNSrDEbz1zvu4/IqrcfRRx2OH7r9zNZDDjzsN8+ZqhKJHWtNWxMULnuhqikdRo4lHg8GwdiGaJN25rTsW76XIRdkI0plyJFPF5Eyt4iVuYmE4l3KzSqgfd4bclkhS43ArxhK3JsWjqnXULBjkUuc5kaOwzKYkKvOcrMUTeD5JHnZzPfIgkIZiXKqnPOvrn47EmcHVX5Yf17p4XD3L/1IGgyEPLx5Vziy0gEJqW14OrtpIZiohO/EYmLsSHMhNXjyq44+ITkXxqnM+rcoP/ncWIBZLYvJXU/GfOx/E4Ycdg6uvuh6LFy131+Q+QzYUsfpSenC3yC8wtROpZlMmYtbk5drXtcKQDAaDYQ1BVBNQpiM68o9rwxYnqd93hE5UuFUhVwVetfSQgel0RRMzi++8znFcWmiOSz0ny3QPz9ZgRepI7xdD+rWmMjPxaDA0UIgOmNL475cSj/KRW8dS2vAObgPzpKQduRGprcwYVt5tcG8h5KSiPIRvv/kRs2bOg6bpkZepZM6JR9U6Fk4S7uMmilQZO7BCEaljua0VkMFgMKwJiGpESzLHiRKP5CE3OMUXbKv7Z6foxPNTwIc1TOdpgeCrzaVy5PmUh7XvrW3On2q/AuOdtF8WJh4NhgYK0YE3jbWuaQEhOTKp41/h3TXMMVSwS5crNZHTyqwu9zIJRKZh+V8LGjATjSQRj0sISjyq24pIT1C6LyxnB0JSAlJm4tFgMPy6qMlt0ieqXQxMgrHwWNdXxY2B1ZdL62PV/qwJmHg0GBoo8hrPSStJp5VZ4K7QVooCR3UT0v/HKPNSGTeiOhrRlFyaZSGDZJLkmsnyvNa51zRdWZ5LQBOGewRPGAjHYF+iMbDgSQ0Gg2HNY0V+qy36gv2aGqam1fZjzdiagIlHg6EB4+eEoyyvBWvYSlHgqC4S+v+aoAnBy0oqEQrFEY16U0dwiUZ1KJeY1CThNWseC5+0tpgMBOUqn8xgMBh+MdTFb/xfh9UWkIX26wjINQETjwZDA0ZdMiqQUrVNbkUj9aMSsR7vyqe7ughphf42uqUOdy7dyi83SlubnBOIaU1V4cSimnh4c/6a+kC6UYX5c9XQcXBOW/kXWG23BoPBsGZAViPrBD3M3XAXz3+iukLTOWfiQXIp2TmYPcL1kxQn5smz2m3+lAsj3/XI3S8TL1ZrooCja/pTaN6/NQETjwZDA4ZSBKmjYYhHmpqitWa1BGKA6nPqG0R/8yLz58EAV+OJDAaD4f8PchrZ1E/ELVuFeAxMPEi3Xjj6gTR+gI14kQ6cG29VfCo/81bIpYWaKOBVE48/a3xBBoOhCkoRkmENRzymkEjEKRaDZumc26qZOh6PORFZ3VxtMBgM6xrIaWRUTcJdf/EoFxKPwQjsQDySreXAufEmf9zUO/Izb4VcWqiJAl418fizxhdkMBiqoBQhqbW64rHQ6gavMM3JfknxGKTlYHEATf6fzfpzWoY0Ho9W1ULWvwbSYDAYfi2Q08ioXjxqAnCKx4ADSVmBOdoLjH8kHt3sEG46nzrEY97kj+fwusVjwKU1rEA8FhpvcbYmYOLRYGjAUIogdazS5EYmDqnL6gavMM3JfknxmE5rFDWJU5TI40Qi5gSj9iUotYqUhKNfjUGjqA0Gg2FdAjmNzFpV80iOW4ELRXmF5nhQHCjBuBLx6PjT37+qmseAS2vYb0c8CorxmjCDwRBAKYK0sUr777HqdFd4deWuhGoXEod+mVHvWs3YasIuLBiKJK352mAwrLuQpFMztLaFDJe32icEp+TEc+K/wMRxOs9NHu6W/KnAqlF4tsBq3xDYGsQaFI8Gg+HXQF2cUWgGg8Fg+CXx3zJs4X3/zf3rDkw8GgwGg8FgMBjqDROPBoPBYDAYDIZ6w8SjwWAwGAwGg6HeMPFoMBgMBoPBYKg3TDwaDAaDwWAwGOoNE48Gg8FgMBgMhnrDxKPBYDAYDAaDod4w8WgwGAwGg8FgqDdMPBoMBoPBYDAY6g0TjwaDwWAwGAyGesPEo8FgMBgMBoOh3jDxaDAYDAaDwWCoN0w8GgwGg8FgMBjqDROPBoPBYDAYDIZ6w8SjwWAwGAwGg6HeMPFoMBgMBoPBYKg3TDwaDAaDwWAwGOoNE48Gg8FgMBgMhnrDxKPBYDAYDAaDod4w8WgwGAwGg8FgqDdMPBoMBoPBYDAY6g0TjwaDwWAwGAyGesPEo8FgMBgMBoOh3jDxaDAYDAaDwWCoN0w8GgwGg8FgMBjqDROPBoPBYDAYDIZ6w8SjwWAwGAwGg6HeMPFoMBgMBoPBYKg3TDwaDAaDwWAwGOoNE48Gg8FgMBgMhnoC+D+fan0eybSsRQAAAABJRU5ErkJggg==)
Prove: PR = 25 in
Maths-General