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Ts2LFDrVZLeywtLb28vJYvXz537lzDTgAAqQ8AAJiM2trao0ePJiUl7dixQ6/XSzttbGx8fX3lcrlCoZDJZLQSAJD6AACAafjll1+Ki4s1Go00dfP8+fPFxcVPPfVU3759582bZ21t7ejo6OjoaG1tTVsBAKkPAACYDL1eL43mHT16tLa2VghhZmbm4uIyYcKETz/91NbWliaCMdBoNElJSampqS+99FJ4eDgNApD6AADAPajVaukztFKplPZYWFi4ubmNHj3aw8PDysqKJoIxUCqVu3btysvLy83Nlfa89NJLNAtA6gMAALe6ePHiyZMnpambGo3m1KlTly9fdnBwGDBgwJQpU/r06dOnTx87O7snn3yStkIzMtSG1Wg0J0+eLCkpqa2tdXR0fO6551auXOno6MgoH0DqAwAA/0dWVtaOHTvy8vJUKpW0x97eXi6XBwUFubm5Ne5j1dTUmJub0+Z4gJ6TlZV1+PDhlJQUjUYj7bSwsJg+ffq7776rUCjqHrxu3TpaDCD1AQDwmLpx48bZs2elcRK1Wl1cXHzq1KkOHTo4ODiMHDly3rx5Ui2Wppu6KV0T2ET0ev2yZcuEEH5+foMHD+blNl21tbW39NKysjIrK6vu3bu7u7v36dOnf//+ffr0sbS0pK0AUh8AABBCCK1Wm56e/s0336Snp+t0Ommnk5OTp6fn9u3b7e3tjfbMz507V1ZWJm136NDBycmpnoMvXrwYGxsrhLCxsSH1mSK1Wp2Xl7dr16709HTDTmdn5zlz5nh5eVEYFiD1AQCAW+n1+uTk5F27duXm5kor6ZmZmSkUiunTp3t5eVlYWBjzyZ87d27u3LkHDhy4ZX92dvbYsWN5cVsSjUaTkpIilWMx7Jw0adL06dPlcrmNjQ1NBJD6AACAEEJotVppOtzJkyeLi4tLSko0Go29vX3fvn2Dg4OlNfT69Onz9NNPG/kTyc/Pf/vtt6W85+zs3KNHjzZt2ggh/vWvf/3444/jxo1zd3cPCgq6PftdvnxZ2njxxRfpD0arqqqquLjY0FErKiouXrzYs2fPvn37vvTSS9bW1k5OTo6OjmZmfIAESH0AAEAIIYRKpUpOTt6xY4dhJqRMJps+ffrf//53uVwuk8lM7hnNnDmztLRUCLFly5Y5c+bUvenQoUOBgYEZGRkZGRm3D/q98847Qojs7GwHBwc6hrHJy8uTVgHRarXSHmtray8vr4CAgEmTJlHjByD1AQCA30nVC6Ojo4uKik6fPq3RaK5du9a/f/8xY8bMnz/fxsZGWlzBRJ+dXq+fMmVKaWmps7Pz6tWrbx/NGzt2bEJCwsiRI4UQkZGRdQ/45ptvMjIyfHx8mP9pDMrKyoqKiqQBvfPnzxcVFZmZmTk4OEyZMkXqpf379+/WrVvr1q1pK4DUBwAAhF6vz83N3bFjR1JSkrRn2bJljo6O0lVPt9SsN2mnT5+WJnampqZ269btjseMGDEiOjp66dKlhw4d+v777wcMGCDtT0xMlKIgHaYZJSYmSpfnGYoGSV00JibG2dmZ9gFIfQAA4P+oqqras2fP4cOH9+zZU1VVJe20t7dXqVQlJSXGXHjzgWVkZAghnJ2d7xb5JO7u7kuXLhVC5OfnG1JfQUFBaGhojx496DmPmFarzcvL27FjR0pKimGnk5PTK6+84u3tTS0WgNQHAAB+V1NTI02H02g0J0+eLCkpOXfuXLdu3bp37z5z5sz+/ftLK+nJZLJWrVqZYuRryIVbFRUVQoh7LrpgZ2e3YMGC2NjY6Ojo2bNnS2U/0tLSqOz/CFy+fPnkyZNS3SBpJb1z587Z2NgYigZJdYNYSQ8g9QEAgN8plcq8vLzU1NSsrCzDzkmTJoWFhbm5uRn54gr3pSEx4MKFC0KIhqwRP378+NjY2NLS0qtXr7Zr104Ica/Ip9s6sb3/L743/5VIr3sAVVVV0dHRO3bsUCqVhhjv6uq6du1aLy8v2gcAqQ8AgN9pNJqioiJpNE8a0Ltx44a1tXXfvn1XrlwpjZPY2Ng8tjXrf/zxxwYe2bZt24bfre67pL+9/l7aN0KMoA/eW21trVqt1mg0SqWyqKjom2++EUIEBwf369fP0dHRx8enT58+1tbW9vb2plghFgCpDwCAJqFUKqWa9Wq1Wtoj1ayPioqSy+W0zwOkvobLXdZqTLSwnbwoZ+kPY47RxvXJyspKTU1NT083LK5gY2PTu3fvoqKirVu3+vn50UQASH0AAPz/amtrs7KykpOTd+3apdfrpZ2Ojo6enp4KhaIlFd40AW5bTnw1R7lsPS1xR9JXEnl5eYawJ5fL5XK5p6eni4tLenr6/v37Te5JXblyhVcWIPUBANDIpFosUomLiooKlUplaWnp4OBgWEavT58+Dbli7XE2duzYQ4cONeTIy5cvSxv3XPBNsebmTVr2D9euXSv+g1qtLikpOXnypFSLZcqUKf3795dW0uvQoYNJP01zc3PD0hEASH0AADwUnU4njebl5uYaPm66urp6enq27Jr18fHxSqXyhx9+sLe39/X1bfg81dra2npubd++vWjYKM33338vbfz5z3+mH96TWq1OTEz85ptvcnNzDSPPcrl87ty5Xl5eLe/LiMf2yliA1AcAQCNkvKI/aDSa06dPl5WVDRgwwNHRMTg4WBonsbOze+qpp1pwI8THx0dGRmo0GunH3NzcLVu2TJkyJSoqytbW9p6/XlNTU08xzy5dugghzp49W/+dlJSUvPfee0KIXbt20S1vp9VqDR319OnTGo3m8uXLdnZ23bt3X7x4sTSa179/fxoKAKkPAIDfFRQUpKam5ubm5uXlSXusrKwUCsWqVaset5r1eXl5CxcuvGW8rra2NjU1taamJjMz8yHvf8KECbGxsbt375bWKrzbYcHBwYbj6Z+GV+Ho0aOJiYl1ryO1sbHx9vYePXq0QqGg3iYAUh8AALdSKpUpKSmpqakqlcoQ9ry9vaUSF49hg+j1+qlTp95tiubhw4e1Wu1DzhXs27evtLF58+aVK1fe8ZiioqKMjAwhhKenp7RS3+NMp9NlZmYePny4buFNKysrT0/PGTNmUCEWAKkPQAukUqlUKtXRo0fLysqqqqrOnz8vfSoSQri5udnb27u4uLi4uFBRA7e4ceNGaWmptJheUVGRtJKeTCbr27fv6NGj58+fLy2j161bt3vWDmnZMdiQK+6YCf38/NatW2dnZ/fArdSjR4+NGzcuXLjwvffe+/rrr2NiYgYNGmS49dq1a3l5eQsWLJB+DAoKegyDt1Q0SK1WFxcXl5SUlJWVWVlZde/e3dPT09HRUZq9aWFhwZsaAKkPQAuk0+m8vb2l8uIWFhZ+fn6urq6Ojo5CiMTExG3btg0cOHDLli3r1683MzObMWPGqlWryH4QQqSnp+/atSszM9NQ8U8ul8+aNcvb25secnvqq/+A/fv3Ozg42NvbL1q0yNvb+8Gyx4IFC06fPh0fH//1118PHjxYCPHee+9JsxOXLl1a98jHJ9uoVKq8vDypoxp2uri4zJkzx8vLy9rams4JgNQHoIVTq9Xr1q3bunXrkCFDYmJipAE9c3NzwwFSccVVq1a9/fbb+fn5hw4d2rlzZ9euXX18fN544w1nZ2fa8DH0ySefrFy5UqPRdOvWrV+/foGBgX369LGxsXF0dGSc5G7ueWFY69atW7duff78+bVr1y5btszR0bFv375Dhw4dOnSo9BVMA61du3bUqFHZ2dlZWVkVFRWhoaHS/o4dOyoUiu7du+/Zs6e0tHTSpEnTpk0LDg6upzyM+GOV9j9sa9VqmxBi8qJPv1o3wzjb+cKFC8XFxRqNRqlUFhUVlZSUXLx4UVpcYcWKFVLRIGtrazoqAKNzEwCaxqpVq4QQlpaWaWlpdzsmLCzs9j9EOTk50hfkO3fupBkfQ1KvqK6uNsWTf/T/WHNycgICAu6Z+mbOnBkWFmZmZmZhYbFly5agoCDD2hXW1tY9e/YUQpSXl9/XQ1dUVJw4cSI7O7uiokKn0xn2R0f/nuTs7Oxaxru4pKRkxYoV9vb2hvaUpi1kZGQ074mlpaUJIRISEkyoMadMmeLn58cfOuARY6wPQJNITEwMCQkRQqSlpd1vdQ2FQnHw4MHhw4cvXrxYLpe34HXVUA9GS+5JqVQuW7YsKytLai6ZTFbP4td//etfPTw8rK2t586du3z58k8//TQmJmbPnj0ffvihYWri7NmzFy1aNGnSpAauqNatW7c7FvNcsmTJb7/99tZbb5WWlvr4+AghvL29TbGFc3Nzk5KSUlNTDQ1rbW3t5eU1evRoV1fXutMWAMDIkfoANLKamprQ0NCdO3cGBwcHBAQ8WGazt7cvLy8PCgpycHCYMmXKunXruI4LEEKUlZVlZmaqVCppguULL7ywZs0ae3v7UaNGFRcXv/TSS5cvX779t3x9fT08PIQQ/v7+rq6uH3zwwdSpU62trZcsWZKRkXHx4sUJEyYUFRWZmZkFBgbOnTt32LBhtra2Q4cOHTVq1INdmbZ48eKJEydu2LDh8OHDhrUKjFxpaenJkyeliiznz58vLi5+8skn+/btO336dGtra0dHR6luEJ0QgEliuBNA41q0aJFo8OTMO87wrCsmJkYIMWXKFBr2cZvhaaIn33RnnpOTY6j1L5PJwsLC7njM7f/o/fz8fv3111uOrKysDAgIEEJYWVmdOnVKyoTSDM8jR454eHgYpow6OzsnJCSY6ITbe7p+/XpCQsItK+YpFIrly5cXFhYa//kzwxMAMzwBPGparTYqKio1NTUtLU36EPnwgoKCFAqFh4eHh4dHfHw8I354fPz222/FxcWHDh06dOjQ6dOnq6qqRo4cGRMTo1AoHB0d7zgJU6FQnDlzRqVSFRcXX7t2zdLS0snJ6Y5TrK2srOLi4l555ZV169aNGzeuffv2Qoj//e9/QghpDRUhRH5+/rFjx/Lz8yMjI2fPnj1gwAC5XD5ixIihQ4fa2to2cBaokQsMDNyzZ8/IkSPnzZvXp08faXGFp59+mu4HoIUh9QFoHDU1NQMHDtRqtY0Y+SROTk6JiYljxoyxsLBITEykqfE4SE9Pj4yMLCgokN4C8+fP9/f3b8iFZLa2tra2tpMmTWrIoygUCoVCsWfPHnd3dyHEsmXLvvzyS8OtUoVPaVun08XGxn744YebNm2S9ixZsmTBggUtYMbjyJEj09PT6XIAWrbWNAGARpGcnKzVaqVBuUa/c4VCERQUlJqaWs861EDLEBsb2759+6lTpxYUFNjb26elpRUWFgYFBTVd7ZBJkyZNnTpVCJGWljZw4ECNRnP7MRYWFqGhoZWVlZ9++qmTk5MQYu3atT169HB3d8/Ly+NVAwAjx1gfgEagUqlWrly5ZMmS9957r4keIiYmpry8fPjw4dJFOLQ5Woxr167l5+crlcrc3Nzs7GxLS0tPT09HR8exY8f279//0ZxDu3bthBAfffTRrl27hgwZMmfOHDc3txEjRrRufeu3wzNmzJgxY0ZNTU1eXl5eXt6xY8cmTpyo1+uHDBkyYsQIuVwul8uZiY361dTU0AgAqQ+AidHpdMOHDx82bJhhka4msm7duh49eowZM6a8vJxKemgZ753ExMTIyMiqqiohhFwu/+KLL9zc3JrrfCZOnBgYGLhly5a5c+dGRkYuWrRo3bp1dzzS3Nzc1dXV1dVV+lGlUsXGxq5evVr60cbGZv78+QsWLLjnKoJ4DFlYWFRUVNAOwCPGDE8AD+vdd98VQkRFRTX1A9nY2Bw5csTW1jY0NJRmh4nS6/UHDhxYunTppEmTunfvvmnTJk9Pzy+++OLUqVPHjx9vxsgnhPjll1+EEP7+/uXl5Rs3bszMzOzVq1d8fHxtbW39v2hvbx8bG3v9+vXDhw+vWbNmwoQJCQkJbdq0GTFiRFBQUGxs7HfffcdLDwDNiLE+AA9Fq9Vu3LgxIyNDutSnqbm4uBw8eLBXr17+/v7M84TJ5b2oqKiIiAjpR4VCsXfv3jsW2Gwuv/32m7FHAt4AACAASURBVLRhY2OzYMECPz+/ZcuWBQYGRkRExMTE3HOldZlMNmrUqFGjRhn+OKxbt279+vXSen0WFhbz589funSphYUFnQEAHjHG+gA8lNmzZ9vb2z/KAQobG5vRo0cHBgbec/wBMBIqlWr27Nnt27eXIp+vr29lZWVOTo5RRb7bmZubx8XFhYWFabVaHx+f+x3Pt7KyioqKun79+r59+9zc3HQ6XWRkZPv27YcPH56SkkKvAABSHwATUFtb6+fnl5mZGRwc/Igfevny5SqVasuWLbwKj5her79y5cqNGzdoinvSarWZmZlvvfXWkCFDhgwZolKp5syZs2vXrurq6sTERBOqdxIeHl5YWLhy5cq4uLjhw4d/9tln93sPbm5u+/btu3Tp0t69e4ODg5977rklS5a0b99+/PjxoaGhycnJZ8+epcMAAKkPgDHKysratm2bXC6fMWPGI35oV1fXgICA9evX8yo8YosXL7awsDh69ChNUQ+VSuXh4dGlS5eJEyfGxcU5OzuXlJQcP348Njb25ZdfNsX5jU5OTqGhod9++62FhcX06dMHDhz4AKs1WFpavvjii1FRUSkpKRUVFTk5Oe3atYuMjPTx8Xn++ecdHBz4HgcASH0AjE5iYqK0mFizPPqaNWuuXbt2twKDaAp6vT4+Pl4I0a1bN1rjFmq1esuWLUFBQUKIfv366XS6VatWpaWlVVRUxMXFWVtbt4DnaGlpuW/fvq+++qpdu3YvvPCCl5fX0aNHDZcCPkCS/OKLL3799dfCwsIPP/xw8ODBq1evbtOmTb9+/fz9/bds2VJcXEy/ai5X7oRmAUwa1VwAPAitVpuamnrixInmmqhmbm7u4+OzePFiGxubplgXHrerrKyUNjp16tTUL64UMk2i7n9eXl5ERERmZqZhz6+//tqCVyyYPHny5MmTtVrtmDFjXnjhhXpWd2jga+3k5OTk5PT6668LIVQqVWZm5ocffrh161YhhI2NjZub2/z58x0dHXkDPjLHjh0bOXLkHW8KDQ2dN29ey/gWA3jcMNYH4EGsXr3a1tb20dTtvBsp7BkqIqKpXb58WdqQVvRuOmZmZtI3C8bcGrW1tcnJyT4+PsOHD8/MzLSxsYmLi6uurhZCPA6L1FlZWe3bt8/e3n79+vUTJ05Uq9WNcrf29vZBQUGnTp3auXOni4uLWq2Oj4/v16/f1KlTs7KyeA8+GgcOHLjbTe+99964ceNKS0tpJcDkMNYH4L4VFxfHxsauXLmyeU9j6NChnp6eqampmZmZzbvK2WPi22+/FUI85pdTqtXqQ4cOHThw4MiRIzdu3Ojbt+/KlStdXV0HDRr05JNPPlZNYWNjU1JSsn379o0bN/bq1WvmzJlvvvlmowzKyWQyb29vb29vrVZbVFSUn5+fn58/ffr03377zdbW9oUXXhg6dKhcLmfEqamFhYUZtq9fv/7jjz+mpqaWlpb27t07JSXF09OTJgJIfQBass8++6y2ttbf3795T6N169ZJSUl79+5NT08n9T0CJSUlUti+463hfiMjOkXeXKNoqU8/MTExJCREGoG0sbFZvXr1o69jZIRmzZo1a9asvLy8adOmJSQkrFq1avny5Y1151ZWVlZWVq6urtKPmZmZ+/fv37x585o1a4QQcrl8ypQpfn5+JlQQ1bSEh4ffskeKfEKIjz/+mNQHmBZmeAK4b+np6StWrLC0tGz2M5HJZJs3b87IyKipqeF1aWrnz58XQjg4ONyy/8fcdL+RrQ4qr7aw56vX6/Py8qTCm+3bt3/77bfHjRu3Zs2aEydOlJeXt7DI95CzduVy+YkTJwyrO4SHh1+4cKHRT9LNzS0mJub8+fPHjx9fu3btc889t2vXrt69ew8ZMuT1119PTk4uKCiQVoRvuGeeeYaVSBrOzs7uvffeE0IcOHCgqKiIBgFIfQBacuSrqKiQ/vEbgxkzZjz99NOxsbG8NE2tvLw8NDT09nhwPP0Hv3/dDPP4Pxd56r5LatVq4la18BvZqlWrVn7hB4QQuctatWrVqtXErTrjfqY1NTXx8fG9evUaPnz4woULz5w5ExcX9+9//zspKWnp0qXOzs4t78V9+PUkrKysDKs7REREDB48+AFWd2iIp556Si6Xv/nmmykpKYWFhT/88IOrq2taWpqPj8+QIUO6du26ePFijUbTwHuTyWTXrl3j3d1wY8aMkTZIfQCpD0BLtmnTpmHDhhnVKQ0YMIC1+x6BgoKCvn373iF4rwtW3Pk3Mv17tHLdWH3zZs6ZHRHLJrZabV9+82b50kz/8KTvjPM56nS6xMTEgQMHBgYGajQaDw+PhISEEydOeHt70wEaQlrdIS0tTa/XDx8+PDExsakf0crKatWqVWfOnElISPDw8NDpdOvWrevVq5ePj09iYuL9Dv3hnrp06SJtSIP/AEh9AFqgxMTEzMzMyZMnG9VZvfzyy1qt9tChQybXnr/88ktgYKCvr+8dxyrLy8ulW7dv397sp6pUKoUQ/fr1u6/fmpVaPWOQhRCKIX0uXpxbvW+OjRA287e4lRcY11JsR48eDQ8PVygU7du3DwkJGT58eEJCQkVFRVpamp+fn1RTFA3n4eHx7bffBgcHh4SEuLq6rlu3zlAAtomYm5v7+fmlpaX99NNP+/btW7ZsWXV19YoVKzp16qRQKEJDQ/fs2aNSqR54dUEYGBbu6969O60BkPoAtEwhISFCCGNLfS+++KJMJqun2rjRevrpp+Pj47dv375w4cLbF0EOCAiQbh00aFCzn+qJEyeEEHcc66tH5w4Wd9yu0pUZQ/ur1erAwMD27du/8MILERERlpaW5eXllZWV27dv9/PzYzH6h9GzZ8+oqKjjx4+fP39+8eLFw4YNa6zVHerXoUMHNze3d999NzMz880336ypqbl27dr69evd3d0dHBz69u0bHx+v0+laTDtLg5kPP0G34dLT06WN/v37P+RpAyD1ATBGeXl5Wq3Wzc3NxsbGqE5MJpMtWrTIRJfzktKUEOIf//iHYWdNTc2rr7564MABZ2fn7OxsY1ii+uOPP24ZhVKrqqpyc3NDQ0OHDx/er1+/goICT0/PTz/99NKlSykpKcbWt+/pxo0bGo3m559/bpR7a/Qr3KTVHY4fPz548OBevXr97W9/e2QXg125cmXp0qUdO3b88ssvKysrDx48KFWaWb9+fdeuXYcPH+7v7//xxx8b+bKQxpb6tFqtlPrGjh1rZ2f3YHdibm5u6s0OkPoAtGRSrKq7gpPxCA8P//777x/NYELjcnZ2jo6OFkK8//77hhIUycnJO3futLOz27t379ixY5v9JM+dO1dQUNC2bdtz/5dpNbVarZ4xY0anTp3GjBmzdu1ae3v7wsLCEydObNmyZcaMGcZQk/YBhIWFde3a1dLSUlpN8eEzZFOcpFwuT05OPnLkyMGDB/v16zdmzJiH+dB/5cqVO/a9ixcvnjt3zjBmLi0gMXPmTGtra3Nzc1dX14CAgE8++aSkpKSwsFAul2dnZ8+bN2/Tpk2FhYVRUVHSHGbczdWrVzdv3tylS5fvv/9eCLFixYoHviumTAOkPgBGTaVS2dvby+VyIzw3mUxmb2//CEpHNIVp06ZJG4bPnZs2bRJCjB8/vnPnzsZwhmVlZUKI1NTU7v+XqbSwVqsNCAjo0aPHjh07pBXAT5w4kZCQYGtra4Rnq1QqD/3hntHaMFPuP//5j5G/CnK5PCMjw8rKKjc3d+rUqQ88zXL58uXdu3e/ZczwypUrzzzzTPfu3Y8cOSKEKCoqio+PF0IEBwfffg+2trYxMTHl5eUZGRm2tra//PJLSEjIwIED//KXv6Snp9fW1vLXXrL2D4GBgebm5q+99pq0393d3dhqegG4J75uAdAgtbW12dnZcXFxRnuGY8aM+fDDD/39/a2trU2rbbt16zZ58uTdu3d/9tlnvXr1euONN6Rph++++66RnKGdnd3tY7zSYs1CiJOZO7/M+0EIm7C2ueHhuR16y9/wcZN16R8WFjbC5veD3bwXtv5j22Lg9L91bPLXSKvVHj16NDMz8/Dhw2VlZUOGDAkODnZ1dVUoFEY41KDX67/77ruPPvpox44dtzf+iy++OGPGjMGDB9dzD+bm5sbf1Z2cnMrLy48ePRodHd2lS5fAwMA333zzft+wXl5e8fHxe/bsqTvz+f333xdCfPDBB+PHjxdCvPXWW56enpGRkfUv4D5p0qSCgoK9e/euWLGirKzs2LFjgYGBc+fOHTZsmK2t7dChQ0eNGmVyf08a0dKlS2/Z4+7uPnnyZH9/f/4nAqbnJgA0QFpampWVVaPfrZQlGusMhRBhYWGm2LyfffZZ3b/Mo0aNepw7W0xMjBCivLz8gXuCofCmlZVVTExMZWXlIzv5B+jPNTU17u7uhlc/IiIiOzs7Ozs7KSmpbq/Izs6+/XdnzZol3Xr9+vWHfyfm5OQ8yj8p0tVo3t7ev/766301lxQ/DHuys7OFELt375Z+3L179/jx4xv+xEePHl13z5EjRzw8PGQymdSwzs7OCQkJ1dXVxvlmSUhIaPQXzvAVT3YdKpWqse5/0aJFNjY2/FcFHjFmeAJoECNcpu8WQ4cOFUJs3brVFCdojRs3ru6Pa9euve0Q9dqZilaSjvZBSd9RAu+WkT2p8Gb37t1nz56tUqlWrFiRk5NTXl4eFBRU/4BPs3v33XczMjKEEMuXL6+srHznnXfGjh07duzY6dOn37x5MysrSyqb8be//a28vLzuL5aXl+/du3fUqFFnz541pBRTYVjdQalUDho0qOGrO7Rt2zYuLi4jI0OaeJyXlzdu3LjQ0FBDcnZ3d9+/f/8Dn5iLi0taWtr169e/+eabmJiYXr16RUZGtm/f3snJKSAgYPv27SqV6jGZBTq2DsPY/j1duXKFEp2AESL1Abg3nU6XmZlpnFf0GTz77LNyuVyj0UifBU3LLRcp3Z5S1FsDl+a1kwa/qg+Grt9RyKcqSUpKSo8ePbp06eLr67t///6QkJDq6urjx49L6+8ZfxY6d+6cVL41ICBg1apVt7/048aNO3jwoBCioqJi0aJFdW/6xz/+8fPPP3/xxRc9evQwxddOWt2hpKRk8uTJ97W6Q0BAgOHLkeDgYHd3d6l2S+MaOnRoUFDQZ599dubMmerqai8vr6+++srX19fBweGJJ55YunSpKZaPamqxsbEWFhbSGj8ASH0ATIyUo4y/qP2ECROEECqVyuRa+KOPPqr74+3lBNWqTNs+PaQXwGLQjJv75lg89t0yMzPTwcFh2rRparXawsJizZo1lZWVUh4wIYZRqXo+KHfr1k0q9JqRkWGofqnVauPj42fNmmUkJX8eRnR0dExMjEajcXBwCAkJachImqenZ3x8/Nq1a7/++uuVK1e2bdu2Sc/QwsIiNDS0srLy008/dXJykjJnjx493N3d8/Ly+B8h2bx588KFC2kHgNQHwFTl5+cLIYx8rE8I4e/vL5PJvvvuOxNqW61W6+vrm5qa6uzsbFj++JYLuoQQTj4r/7P7S7/w8PDHYG6ndLmXYR0Lg9raWqVSGR0dPWnSpK5du86cObN3794ffvjhqVOnqqurb688YfxqamqkuogbNmyof1F4Pz+/jh07CiFOnjwp7dFoNHPmzAkPD28ZL3pQUNCJEyemT5+elJTk7OycmJgoXb93N9Kfo6VLl77//vsDBgx4ZOc5Y8aMwsLCX3/99eDBgytXrvzf//43ceLENm3ajBo1avny5enp6Y/nSnSff/557969U1JS6q47CoDUB8D0Up+Tk5Pxj/VZW1t7eHhIGdUkXL16tUuXLtu3b5eW5psyZYp0bdKuXbtuKdlvMSg0/dO/bouIiJg5uE2rkbmPQa+rO+Cj1+uTk5MHDhw4cODAZcuWXb16dcWKFf/+97/T09Nff/11Y1jF/sGcP39e2pgyZUr9R3bs2FGq4ZmTkyPtcXZ23rJli4nO7bwjR0fHLVu2/Pvf/3Z0dJw9e/Zf/vKXelZ3MHy50yx/l6QFAENDQ//5z39WV1cXFhb2799/9erVU6dO7dKlS48ePaKjox+ra9v++9//ZmRk7N+/38vLi/+YAKkPgKkqKiry9fU1iVOdN2+etIiwSfj73/9u2JDm6b3zzjvSnjfffPOWeW6DZqy7efNm9befzhh9dUyrkd/qWn7Hy8/Pj4qKcnV1/fOf/7xw4cK+ffvGxcX9+OOPOTk5AQEBJle/5HY///yztFH/QJ+kU6dOos4CfXel+y4pPFzh1O332j+tuvmFh5+sNKUEkpiYePDgwXbt2nXp0mXSpEmHDh2qe+uNGzdiYmKOHTsmlcBJTU19mMeysLB4+NIs9vb2sbGx169fP3z48Jo1ayZMmJCQkNCmTZsRI0YEBQXFxsaa1gSEBzB9+nSp5hAAUh8AE3b69Gk/Pz+TOFWFQqHT6UyiysLmzZs3bNgghIiOjjaEamdnZ+kKrtTU1B9//PEOH1IHzVjsrxDiWMnZFhv7bty4IYTw9PQcNmxYSEjIE088cerUqUuXLiUnJwcEBPTs2bPFPNMDBw40/OA//elPDTpOV7gjIsL/k5NSqe79YWO3RUR8sOnre4Yf42kWMzMzV1fXzMzMnTt3nj59ety4cT4+PoYJnwcOHHjzzTfDwsImTZr08ccfp6amXrx48WFS39WrVxvltGUy2ahRo5YuXRofH3/69OnKyspRo0Zt2rRp4cKFgwcPbt++fWho6AOvTQ8ApD4ATUupVMpkMqP6UFg/Gxub3NxcIz/JoqIi6YKugICAJUuW1L3JUIC+zviAbuvEVknf/f55cXfWCSHc+vRsgfVcqqqqwsPDg4ODhRCXL19WKBTHjx/ft2+fvb0978QGvwHm7Lt5c8ag37vH+KA33IQ4oz5mQqnPwMPDo6SkZNy4ccnJyd7e3tI458aNG4UQkydPFkKMHj1aCHHLYKCRsLKyioqKun79+r59+9zc3HQ6nbQCxPDhw1NSUoy5B0mLNDB2B5D6ADxe0tPT+/XrZ0In3Ldv34ec9PUIzJ49WwgxYcIEaWSvLjs7u5deekkIsXv37j/2yQZO9/374PbSjL1PlE+E7Y8b1FJCX01NzZ49e4KCgtzc3Hr06JGamtqnTx8hRFJSUk5OjvHXEHoY3bt3b/LHsHhWYSuuXjfVa8xkMtk///nPnTt3Xr58uWvXrmPGjFGpVGfPnpVq29jZ2Y0ePTosLKz+0i/Ny83Nbd++fZcuXdq7d29wcPBzzz23ZMmS9u3bjx8/PjQ0NDk5+ezZs0Z1wj4+PtevXz99+jT//gBSH4DHyK5du6RP4abC0dFxz549Rl5KITc3V1oF8Y4V5/fs2VNRUbFz507DR99BMxLP3fzdOWVu+HibFtC1dDrd0qVL//znP7u7u69fv75NmzY5OTmnTp2aO3euEOK5555r8W+uhq98LYSorq4WQpiZmd1nK1/ILRPduziabis9+eST3t7eBw8efOaZZ3Jzcy9cuPDxxx8bLsYbMmRIaWmp8ddwsrS0fPHFF6OiolJSUioqKnJyctq1axcZGenj4/P88887ODgsXrz49rq1zRi277unASD1ATDpz+Uqlcr4q3fWJZ2t8Xx+uqO2bdu2a9eungMaUt7DdCmVSh8fn/bt20sLbc+fP7+6ujotLc3Z2fmxen89/fTT0sYtJVvv6MqVK1LPua+HUOfvzhRi4Isupt5W33zzjTT61KdPn6ioKH9/f2n/xIkThRD79u0zrafj5OT0xRdfVFZWJiQkODo6qlSqdevW9erVy8fHhwUAATQFvsgBUB/p+hPTGuuTLkcpKyuztbU1odMuKytLT093cXGxtbW1tLRseX1JrVYXFRVlZWUdPny4rKxs8ODBixYtUigUrq6u5ubmj+f7y8rKSto4ePDgnDlz6jmypKTk66+/FkJMmzbtPh5A992bb31iO3njvFE2DTn8l19+eZRP/5NPPiktLXVycnJxcbG2tq7/4KqqqrCwMF9f344dO37++ecbNmzo0aPHhAkT/va3v4WFhT3KJfsatwP4+fn5+fmVlZWVlZUdO3YsPz//pZdeeuqpp3r37i2Xy+Vy+dChQ6UCvy2GTCZ7PFc1BEh9AIxXdna2EMK0qiZKZ2sSZTxv+VAbEhIizVvz9PQMDQ11cnJqGb1IqVQuW7YsKytLCGFhYeHn53fw4MEWmWzvl6WlZUBAQHx8vL+//1/+8pd6BnilCjdCiOeff77Bd5+7rP2YtBG+N79a0MBf+O233x7l0//ll19Wr14tbXt4eAQHB9dzGefLL79s2Pb3958xY0ZERERUVNS2bdtiYmKmTp1q0j3B1tbW1tbWzc1NCKHX69PT0/fv379+/frIyEipcSZMmODt7W1CVbXqT32P1WKGgJFghieA+hw9elSY2mzDzp07W1pamlzqk8vllZWVaWlpq1atunbt2gsvvNCrVy8/P7/o6GjpVTAtZWVlsbGxCxYssLe3Hz58eKtWrdasWZORkVFRURETE0PkM3jrrbekwiQzZ84sLy+//YCLFy96eXllZGR07NjxxIkTDVyl8MfcxJGtxkSP8M3Zvs5on3tQUNCvv/564sSJ1atX//e//504caKDg4OHh0d0dHRBQYG0gEc9yWHVqlWXLl1atmxZSEjIqFGjUlJSjLmmy32FIm9v74SEhMrKyoMHD0ZGRt68eXP9+vVdu3YdPnz4W2+9lZKSolQqH36ZwUZ048aNK1euXLly5ddff637I+kOMCI3AeAuLl26JISwt7dvuocICwtrij9EHh4er7zyiqm3/+bNmw1XVMpksrCwsOvXrxv/adctvCmd9v3eQ0JCghAiJyfHFF+1B+jPCxb8Phbn7OysVCrr3vTDDz+MGjVKujUgIKDhL8IIIYTblvL7bPO0tLRmbLpff/01Li5OoVBIz9fGxiYuLq6ysvKev3j9+vVx48YJISwsLO632yQkJDg5OZlE1zpz5kxQUJBhuM/a2nrVqlWrVq0yhjfL0qVL7/ghc86cOY/szz6A+jHWB+CuqqqqpNRncmc+bNgw6eRNmr+/f3l5eWFhoaenp16vj4iIaNOmzdSpU41z6E+v1ycmJk6cOHHMmDF5eXn29vYJCQnV1dXh4eG8leq3YsUKaaOgoMDJyWn06NFr165du3bthAkTevfuLV3OJ4SQvoVpgNxlrcYcs51cvm+OjUm1g7m5eUBAQE5OTk5OjkKhUKvVgYGBXbp0WbBgQf2XgclksvT0dA8PD51ON23atMzMzBbZT2xtbWNiYs6cORMTE+Pm5qbRaEJCQt5++20hxNGjR5t36I+Cn4Dx410K4K6kSZLSOsimxcXFZfPmzabe/hcvXiwuLlar1T179pTL5fn5+b/99lt6enqXLl3kcrmRfMxSqVS5ublZWVlHjhxp3br1gAEDVq9ePXbsWCcnJz4I1q+srCw/P//GjRvPPvtsVVXVgQMHPv/88/T09K+//tqQ9Ozs7FxcXDp06LB79+7U1NTRo0cHBAT4+PjU97bdujpaCFG2u0erVnUjw5byM0aeAnU6XVFRkVarValUzz33nLW1tVSJNzU11cXF5eWXX27dunU9iTEtLU2tVn/wwQdTp04dN25cUFCQQqFoeZ3Q0tIyKCgoKCjowoUL+fn5n3766ZdffhkTE7N+/fphw4YNHTp06NChjo6O96yOI4T45Zdfjh07ptVqLS0traysBg0aVE8L188w6gjAeDHcCeBu4uLihBCFhYUmN8Pz5s2bMpnMRJu9sLBwxYoVdYdYLSwsvL29pXqPQUFBRnKeGzduNEw2s7e3b8TJgS1+hmdhYaGheqfEyspq1apV0q0//vhjdnZ2dnZ2RUVF3d8aP368dLC7u/vOnTsb97SbcYZnYWFhWFjYLbWL5HK5VNrkAXpCZWWltASIlZXVqVOnWswMz/rfLEeOHPHw8DCkXGdn54SEhHrmhB8/fvyWa0R9fX0fzTkzwxNoFnwRC6C+sSZzc3NHR5Nc37lDhw5KpdLIy2DW1NSoVCqNRlNcXFxcXFxUVHT69Glzc3MHB4eRI0fOmzdP+s6+devWb7zxRrt27Xbu3Gm46unRu3btWn5+vlKpzM3Nzc7OtrS09PT0dHR0HDt2bP/+/RvxgaRPrkZVrKIRFRUVeXt73zJlUavVhoSEXLx48YMPPujZs+cdq+Z+8cUXqampUlGcjIyMXr16DR482BSHrzUajUqlUqlUZ86cOXnypLm5ea9evQYMGDBt2jQ7Oztra2s7O7tDhw4tXrz4lVdeWb58+f2+i62srLKzsz///PM9e/aMGzdu6tSpQUFBpjhT/b64uLi4uLhcvnw5Pz9fpVLl5+dHRkYuWrRoyJAhtra2I0aMGDp0qJ2dnTSat2HDhiVLltzyFtu2bdvp06fj4uIet2UzAcb6ADzu5s+fL5fLTfRLXycnp4SEBONs2Orq6s2bN98y/UyhUGzcuPGOtSucnJxkMtk9Ry2aTnl5ed3Cm3K5fN++fU33cGlpaUIIo335HnKs75ZRvluUl5fX/+vXr1/fuXOnu7u7SqUylbG+nJycRYsWGUoTScFe6vB3fL7S9Ox58+Y9/ENnZGQIIWQyWVxcXMse67vjrSdOnPDz8zN0OXt7+7i4uPLy8no6oUwmu3TpEmN9AGN9AB4jOp2u/k+oxqxdu3bGthCwUqlMSUlJTU1VqVTSHgsLCzc3t2HDhnl5ed3xOhy9Xj979uyioqKMjIxmGXTVarXh4eGbNm2SPql7e3tPmTLF29ubd8eDUalU9XfLxMTE+uvfSGX9jf8l0Gq16enpe/fu3bNnj2GntbX1pEmThg0b5ubmdre/LTqd7u2337aysmqUOkCTJk0qKSlxd3cPDAzctGlTRkZGQy54azGkeZ5CiKSkpLVr1yqVysDAwPp/Ra/Xq1QqFxcXS+4l9QAAIABJREFU3q1AC0PqA1Df5zbT/d9vZWX1/fffN+MJlJaWFv9Bo9GcOnXqt99+k6ZuvvLKK/379+/Tp0/Pnj2ffPLJu93DsWPHfH19q6qqdu7cabjG6dG87kePHi0oKPj666+PHz8+ZMiQ4OBgJyenUaNGPfvss7wvHkZ+fn79B6xfv77umNgjIxWGPXTokE6nu9/f/e233/7zn/9cu3bt6tWrarX6zJkzGo2moqKiTZs2Tz31VLdu3Tp37tyrVy87OzvDU7tjmc3//e9/p0+fTkhIMDc3X7JkSSOW4pw3b15SUpJarR48eLCvr2/Pnj0Nl7QplcqLFy8mJiY25H6sra2NrTyM9BWSUqm855nHxMScO3fu2LFjX331Vf1fPRQUFJD6AFIfgMfITz/9ZOTXxdWf+vbv3/+IH1Sn06WkpOzYsSMvL8+wPLFCoRg+fHh0dPR9XS2jVqs9PT1lMllhYeEjiwEqlWr16tVJSUnSBT++vr5ffvml6Y73GhW9Xp+Xl3fgwIF7dqHZs2c310lu3LixEe/t2rVr165dE0KcO3euoKDgvt5HixcvbqLnuGbNmtt3NmObN4qmay4ApD4ALV9VVZVJp76ysjK9Xn9LnbpGJJWmOHnypDSaV1JScvbs2f79+zs4OMyfP7/PH55++un7vef09PTZs2dPmDAhMTGx6c5fotVqDxw4cOjQodOnT6tUKkdHxxUrVigUCicnJ0OJTtwXpVKpVqvVarVOp5OmdP7www9VVVXW1tYNadLnn3/e1tbWysrKycnJycnp0WT+vLw8Hx+fTZs2GSqF3hLDNBpNaWnpyZMnNRqNRqO5dOmSXq+3s7Pr1atXnz59OnXq1K1bt27durVr1+4BHv3ChQshISHl5eXvv//+8OHD//SnPzVph09KStq6dWvHjh1nzZrVt2/f5cuXHzlypCG/Ky1mY1QyMzNXr14dExPT8L/V0tOv5wDe+ACpD8DjRavVNstks0ZhaWlZW1urVqsbvXbfnj17UlNT8/LyDJfn2djYyOXy1atXe3l5Pfz9q1QqHx8fhUKRlJTUpNPJVCrV8uXLv/rqKykke3h4pKWlPVZXPTViZCooKNi7d6+UCgYOHGi4ycvLy83NLTY2Vross6amplOnToZx4Nt9880333333bZt2/bv379t2zapd/n6+ioUiiYt3yqdeefOneu+5YuKiqQrUYuKigw7nZ2dvb29FQqFi4tLY/XP5cuXS9OJ5XJ5U79Y0rs1NDQ0IiJi1apVHTp0ePrppxv4h84I/x5KL5yTk1PDu4e9vX39qe9RzicHQOoD0Mx0Op1Jf+MrfR7VarWNkvp0Ol1eXl5ycvKuXbsMH9ltbGy8vb09PT0bt9C5Uqm0t7fft29f0zVOZmbm4sWLpdRqYWGxYsWKpUuX0ufvS25ubm5u7vfff3/06NGqqqq6N/n5+Y0ePVqhUNweEszNzQMCAtatW3e3UCGtsh0QEKDX6xMTE7dt25aXlxcRERERESHFPz8/v6bOHklJSXv37s3LyzMMbclkMrlc/sorr3h4eDTFjF9zc/OEhIRHEPkMrKys4uLinnnmmYiIiGvXrhn/Ki+N+9xdXFykKzlv10QvMQBSHwAjpdFonnrqKdM9/w4dOkip7wF+V5q6qVarpVos0tRNGxubulM3ra2tm2hYzNvbu1HGDOuqra0tKioqKirKysrKzs7W6/VSUZmmHkEydVVVVTqdrrS09MKFC9LKilqttqKiQq1W29raPvfcc9bW1rNnz7azs3v22Wf79OljYWHRvn17qWri3cTExFy/fl0qi3rLZ/FPP/3U8KNMJgsICAgICKiqqpKmjCqVyuzs7JiYmA4dOnTv3t2pjgd+gufOnSstLS0qKjp06JAQ4rXXXps6dWrPnj179eo1btw4qavb2dndcf3ARrRly5ZmeX3Dw8Otra0XLFgwcOBAuVy+cOHCV1999XHo2B9++OG8efPy8vLq7rS0tFyxYoWfnx9vfIDUB+DxSn0PcEGa8ZBO/r6uw7nbygqNNXXzPv40N97Eztra2pSUlMjISGmSno2NjfTBrqkvFzRdarVaysZHjx7VaDR1U5lcLlcoFK6urg9Z4TA+Pj4oKMhQOMfJyWnVqlV3m1ZnaWnp6upa9wXNyso6fPhwUlLS+vXrpZ0KhUIaBmzIo0s1h6RZyoaKndK3JK+++mpUVNRj1TdsbW27dOmyb9++xYsXT58+fc2aNY/D6g79+/c/fvx4YmLi6tWrVSqVubm5l5dXcHDwo1nL3tzcXAih1WoZVARIfQCM4rOvSac+wweLO95aU1MjDd38P/buPi7mdP8f+JVfbGg11LbDjkxkmjKU3axxPynJKnLKyirVEcbBbla2kFMdLFbI6mxuctSqLauOKKtSGQkt7ZqSbkarKaMdbexkY2dtR78/rrNz5lvpbsnM9Hr+4TF95jN31+ejPu+53tf7TWfzSkpKbt26ZWhoSDsrrFy5ksfjsVis9jsraLJr167l5uaKxeJLly49ffrUwcFh9erVtra2b7/9tpZ+ohfr6dOntbW1dBJPKpXK5fLy8vL79++Xl5ebmJgMHz585MiRCxcuHDlypImJiYWFBYvFerFXqFwu99ixY+3PCj7vGwFnZ2dnZ+ft27ffuXNHLBbTmcA9e/b4+fnZ2NjQAjCqSjASiUQikZSXl5eUlMhkstu3b9fU1FhbW48ePXrJkiUcDmfcuHEcDkcikdjb29va2vbOrwNoTvWZM2f27t07YcKEZcuWOTs7T548uU+fPjr8qX19fV/JzB79Vqud1a0AgKgPAHqOXC7v37+/9r5/uijx/v376htVnRXy8/NpcwJCiEAg8Pf39/Dw0I0vnmNjYzdu3EjDXTabvWvXLi8vL5zP9JTOzs6+fPlyeXm5+glACLG1tZ0/fz6fz9eiOhZ9+vSxsLCwsLBQTUSrlgLSMjCtAxs+ny8UCtucuJZIJDhD5s2bN2/evJiYmOXLl2/fvv2jjz563gpMAABEfQCgI6qrq3Wjmgt5furmxIkTPTw8dCObq76+PioqKi4ujia1CgSCHTt29GR5DM1UXl6ekZFRXV2dnp5eWVmp/qUAjfS6VPxQk9F+gIWFhW1mNY8YMQLLODvJ39/fwsJi1apV+/fvr6ioSExMRCcDAEDUBwA6q76+/vXXX9fGdy6RSEpLS2/cuEEI+f77742NjZ89e0ZTNxctWjRu3Dhra2vtTd1UR/NUs7Ky8vLyLl++zGaz33nnHdptz8LCovecq01NTbSJXGVlZU1NzZ07d+Ry+b179yorKwcNGsThcIyMjObMmWNmZjZy5EgzMzMTExPtbUlCyeVymrpZUlJSXl5+7969O3fuDBkyxNLS0t3dnclk8ng8LpdLu1bSLNCcnJyjR482NjbSLFBVIihCmtYEAkFZWdmXX3554MCB8ePHr1y50sXFhfbeAABA1AcAOqWxsdHY2Fhb3q0qdbOgoEB9uYienl5mZuaL7aygIZ9327Zte/bsoT+6ublduHBB9z5m+5KTk7/77rv09HT1bnK0x4Ctra2vr6+zs7MuhTQKhUIkEqWkpCQnJ6tOchMTExcXF2dn5+fNWtvZ2amfGOXl5XFxca0rwWh7GPwyLF26dOnSpWFhYRs3bty4ceOOHTuCg4MxLACAqA8AoIfQzgrFxcWlpaUymYx2Vhg3bpx6Z4WRI0e++eabgwcP1plYqL6+Pj8/XywWi0Siixcv2tjYrF+/nsfjzZw508zMTFePtUwmq62tLS0tVSgU0j9UV1c3NjZyOJyhQ4dOmzZt0aJFLBaLzWaz2WwWi/VSW9v3GKlUql6I5d69ezKZjMlkjhkzZvXq1Uwmk8vl8ng8MzOzLlUc4XK5O3bsoJVgaDcIsVi8Z88eGjkfPHhQKpWqZgLxq4YQEhYW5ubmlp6eHh0dffr06d7T3QEAEPUBQK+gVCo17eo5PT2dlptXLc9js9l8Pr+dzgq6USZOKpXu2rUrNjaWfhx3d/eqqiodviinEcjevXs3bNig3gCdzWYLBAIPDw9HR0edrPkul8szMjJOnz6dmpqq2shisTw8PHx9fV1cXExMTF7IC6kqwah6QmRlZc2ePbuxsTE8PFy1G+0GgaWANAwWCoXe3t60u0N0dDQWzQIAoj4A0JEL0IkTJ77yt6FQKAoKCpKSkk6cOKEK4dhstqenp7u7e4fzeN3r0q45xGJxXFxcTExMY2Mjg8EQCoUrV67smZ5aPXyyFRQUiMXiixcvikQiuvHmzZuEEIFAYGNj4+bmRqfydPL/WkFBwenTpwsKCtQri3K53Pnz57u5ufVMdEGXuQYGBnp6etJCoAUFBbQcKJvN9vHxQSUYExOTc+fOCYXCQ4cOTZo06dixY2hoDgCI+gAAuoOmbkqlUtpGj6Zustls9dRNFoul2z2UFQpFbm5ubm5udnZ2dXU1l8tduXKlQCCYPn26VndQJITU19fTaiv03/r6+srKynv37j158sTMzMzY2NjCwmLGjBm//fbbzp07165d+9lnn+lY+ziFQlH+B7lcXlxcfPv27X79+o0dO5bJZG7evJnL5dLUzVc1025gYCAUCoVCYVNTk/gPOlwJhsFgdCkj4IsvvvD09MzIyNi4cWN8fPzHH3/83nvv4Vc3ACDqAwDo2PM6K7STuqmTRCLRxo0bCwoK6MV3UFBQWFiYDhzc1NTUb7/9NiMjQ307jRz8/f1p8ZUW47Bz584hQ4boTMhH8zbFYjE9uBSfz3///ffd3Nw0c/JWX1+/k5VgtHrKq6tRX58+fei0p1AonDNnzty5c52dnaOjo7EMEgAQ9QFohGnTpslksi49xMTEZODAgV29gOjql9/6+vpdnbnq06dPN6p3DBo0aMiQIZ3fX6lU/vzzz232/mofk8ls52KdNhugU3kymSw/P58QYm9vTzsrrFy5ksfjsVgs3eis0KFnz56VlpbSnnIXL16sr6+fMmVKUFCQo6OjQCDQoqokjY2NdAavvr6ezmKVl5ffv39fKpWyWKxRo0axWKzQ0FATExMzMzMOh8NisQwNDXU4elfN5pWVlZWWlpqamo4ePdrS0nL+/PlcLpfD4VhbW2vUe+7M4XheJRg/Pz82m62aBuwllWDYbLaqu8Po0aO9vb0//vhjdHfQKGFhYSwWy9nZWbfTQwAQ9QH8H1u3bu3qQ8RisUKh6NJDqquruxomNTY2Hj16VDMH7csvv/zyyy975rVee+21H3744Ycffjh9+nRn9jcwMOjkskP16TI+n9/V6SPa9OxlfOTU1NTt27cXFhbSUDkoKMjf31+LYqGSkpL09PTq6urs7OzWDdA9PT35fH7vqXiRlJREZ/Potxjkjx4Sq1atcnNz0/zaM52vE9O6EoxSqRSJRHFxcb2wEgzt7lBQULBw4cJjx46hu4NGkcvl9Jw8efJkr0obAUDUB71aNy4+NPZ6pampiU6RdQntYd35/ffv329sbDx8+PAeiJZpI7KuvlCLjMHnUb8S7Rkd1h1RKBRVVVUNDQ2EkAEDBpiamlpYWCgUioiIiC78+tbXnzp1alffG4vF6nYDd6VSSWuu0HRN9aPMZrNnzJghEAhomc1e8luFTna1KLlJCAkICJg7d64qKNJ5BgYGzs7Ozs7Ox44d652VYPh8flpa2pw5czZu3Hj//v3Q0FBdahSpvSIjI/v37x8ZGent7S2TyQICAjAm0JvpNTc3YxQAoLUJEyZMnDgxKiqqk/vT1E2ZTEazN0tKSm7dumVoaGhlZWVtbc3j8dpM3QwLCwsPD//ll1/UC/R3MvRtP2X32bNnDg4O+vr658+fVw99VTUSO0kul3e1/YNCoWgd91ZXVxcWFjY2NhJC+vfvb2NjY2lpqbr36dOntbW1XXqVZ8+e3b17t6uH9dGjRw8fPuzSQ/r27du/f/+nT5/+9ttv6n8y+vbtO2DAAH19fQMDg759+7Z41JtvvtnVaVUDAwM6JyaXyzMzM2nGYIehbzdyt7rR02/w4MG//vprXV0dzWWtqKgoLS198uSJoaGhsbExjdtp5qq3t/eFCxdIT+V7vyhSqdTc3PzQoUMrVqz488+mXgmmqKhIKpVqbCUYqVQ6fvz4n3/++c8/lVKpjImJ2b9/v0wmW7Vq1ccff9wDRzM2NtbPz+/ChQtaFFdHRkauW7eux9rPyOXyvXv3RkdHjx8//uOPP3Z0dNTh9HKA9v7EYAgAoE2GhoY0ROkwwklOTk5ISFAvOi8QCPz9/T08PDqZ2GZoaNiNP8Ptz1nRuIvFYr3aiyGFQhEbG3vo0CFaqIbP54eGhjo7O2va4RaJRFKpNCcnJzs7W73dBYPBmDZtmpmZmYWFhbW1decXW3ZjyrehoYFmSNIHNjQ0VFdXd3id/WoTpJVKZX19fUVFxaVLl1QbaYZnD/0V7+6U76hRo1r/f/n3v//dzrcPdnZ2Xfp/amFh4eHhQaM7nawE0/prizVr1qxZsyY1NdXPz2/fvn3o7qAJmEzmZ599tmnTJldX1wULFjAYjHPnzqHdIiDqAwD439Vkiy1NTU1SqVQmkxUXF6s6K9TX148bN87KymrLli20rYK1tbW2Nxj485FAeXl5dna2SCS6dOnSsGHDLC0t165dO3369Fde7KGyslImk0kkktraWqlUKpfLKyoq6urqTE1NTUxMhg8fvmTJEjMzs5EjR5qYmFhYWHS7LfifCbZFIpG9vb2Pj89LKmHa5pSvQqGQSCS0yFB1dfXdu3fv3r07aNAgJpNpaWnJ5XLpEBkaGg4YMKCdJ7e3t6dzfW1O+bavwxns1p49e1ZTU9PVEXj06FGLnGo6oV1ZWdnOzHZCQsILnCoXiUQikcjPz6917NTVZZD6+vpvvfVWN0JffX39xsbGJ0+edDI2oydAZ/Z0dXVNTExcvnx5fHz8tGnT3nrrrc5PL3dpypd+nSQWi4cMGdLVX7xdLfH1otD/QfX19T1Z9YfBYGRmZn799dfp6elz585dsGDBmjVrOswmAEDUBwC6j8ViqdL50tPTU1JS0tPTVXmYbDbb3d39s88+wzemLS6dd+7cqVpJKBAIzp49242pmBdILpeLRKLs7OzLly+rGmOo3p6NjU1wcHBX53B04NxWHa+CggKRSKQqxELx+XxfX18PD4/urYHUxjVsNMNzzZo1Pbz2SVUJJikpSbXF0tLS2dm581fk9Dh29aW//fZbpVKpVCqfPXvW4awydfr06a5G8jk5OTk5OS97GNetW9djh6wbvy5sbGzUE3rp/7WoqKh2oj5aFKpLr0LrJ7Ufbfr6+vr6+qanp7u6uiYkJISGhqL6DiDqA4De7unTp0VFRfb29gUFBapv6wUCAZ/Pd3d3V+/ipbEBGL0O6LFXpPEefV1bW9vdu3e/qnoetC9cZmYmLa+vfpebm5uNjY2bm1sv/5KbltzMzs5WfZHBYDDmz5/v6elpa2ur+SU3dUablWAyMzMzMzO7VAmm21nTdF0fnZ59SeF0RETEkSNHCCFbt2599913X2wQS+sJ+fj4/Oc//+nqRHFXS3xRtOxwl7RZrCsuLu6V/43YuHFjXFzcuXPn0G4REPUBQG9RV1dXWlpKUzdlMllZWdmdO3cYDAaPx1u9erX1H7QodZMuSnypf8sbGxvz8/Nzc3MvXLhQUlLCYrGWLVs2ffp0JyenHqhU8eTJk9raWplMRi/d6L/379+XyWSGhobDhw/ncDhTpkzx9vamGZtmZmbdTtfUXkqlkqYl05xkiURy+/ZtmUxmYWFhaWnp7e09btw4JpPJ5XJx2ffKwz+hUCgUCtUrweTk5Bw9elRjK8F0BpvNjoqKEgqFkZGRu3fvnjFjhouLi4eHR/vTZZ0PYmNjY0+fPt2TTTJqa2ufPn3apYe0SPTNyMjYtWvXvn372vnuSalUqi8w7ozOJ0jX1tYmJiY2Njba2dnNnj0b//sAUR8A6D6aullQUKDK/WOz2Xw+f9euXTKZLDU1VZV2pXVo1PeSJm3Ky8uTkpL279+vUCgMDQ29vLwOHDjQA8muUqlUKpWmpqZ+++23LWYD6JSIra0tn8/HVJVSqVTN5qmKErHZ7Llz5/7973/vRttG6LnrEn19Ozs79WwCHagEw+PxYmJi1qxZM2fOnJSUlEOHDp07d05LuzsMGzasG6Fvi99jhBBbW9tXkgstEokWL17c2NiI5oqAqA8AdBPtrEBnPGQyGe2sMGzYMCsrqylTpqxcuZLH41lbW6v+oicnJ7+QauavNurrRo2Hdp6QLpDLzc0tKyvjcrne3t4zZ86cPn36C6+IUFdXRwuuSCSS+vp6qVRaXV0tlUr19fUZDMbo0aPHjBmzYMGCYcOGsVgsOpXXa0/sJ0+eSCQSuVxOz+3y8vKKior6+noej0eL6HA4HDabzeVyEQxrKS6Xu2PHju3bt9+5c4cmLYvF4j179vj5+bHZbNU0IJ0J1OQPYmtrW1VVlZ+fHxERMXTo0B7r7gCEEKVSGRsbu3//fqlU6uPjExAQwOVyMSyAqA8AdEdJSUlycvLFixe72lnBxMTk0aNH2h71dbsjubqCgoLw8HBVU/igoKBr16692MkiupInIyODTuKpZ0PRBuhubm60BzpOaUoul6empp44cUL9xLa1tZ07d25ERASKDOmePn36WFhYWFhYqJbLqirBqOonEULoHKDGFtQxMDBwdHR0dHRUdXfw9PQ8cuQIOsi9VAUFBQsWLJDL5UKhMDQ0FF8AAaI+ANAdYrE4OTk5JSVFlbrJYDCcnZ3d3d09PDw68wxsNrur3ck1ygup5iIWi3ft2qVKc129evW2bdteVF6WQqGgYR4tvqI+2jwez93d3dbW1s3NDSezSlNTU35+Pk3dVK35YTAYAoFg4sSJ3S65CVqqzUowcXFxcXFxXaoE80q4ubkZGhq6uromJSX98ssvycnJGpV13GY7EDMzM208TzIyMry9vevr65HSCYj6AEC70dRNVb0KmrppaGionrrJYrFGjhzZ+RbbRPvn+uib78bkmFQqzc3NzcrKqqioqKysfOedd7Zu3ero6Mjj8brxfTxtp1ZfX19TU3Pnzh3674MHDyorKxsbGy0sLEaMGDFixAgHBwcWi2VhYcFisWgbsV5+NU8Iqa6uzs/PV6Ul379/XyKRmJqajh492t3dncVicblcHo9nZmbWpRMbdPKE6XYlGAMDg642IXxRHB0df/rpp/T09M8//3z48OGzZ8/+8MMPO1Pk82U7fvz40qVL27yLVqsSCoXGxsaaf2IcPnx49+7dMpkMKZ0AiPoAtJhCoUhOTk5ISOhq6mYnGRoaPnv2TKlUamndCxr1dWkcxGLxhg0bsrOzabjo5uZ2/vz57tW9FIlEtKJ6YWGhqpoIIYTL5To7Ozs6Ojo7O+MSpM2vMLKzs+Pj4wkhsbGxsbGx9CA6Ozu7ubm5uLhgERS0d03T9UowTCZT/X9oDzM0NPT09PT09IyMjAwPDz9x4kRgYODWrVtf7fc+P/zww/PuysvLy8vLCwkJ+fHHHzU/T3Lz5s0eHh5I6QRA1AegNZqammj1edpZobS0tKysrL6+fty4cVZWVlu2bLG2tmaxWC+8swKTyRSLxVq6REoulzMYjA7n+iorKzMyMvLy8s6fP69UKqdNm7Z7926BQNCZhoSPHj1SzeDV19eXl5fL5XJaSoTFYr311lsWFhZTpkyxsLAwMTExMzPjcDgoHalOJpOVl5eXl5dLJJLi4uL79+/X1NSYmprS0O7dd98NDQ21trY2MzPr06cPhgu6oTOVYAghUqn01S6aDQgI8Pf3P3jw4P79+8+dOxcQEODs7PzKY5Xm5mbV7SdPnty5c+fQoUNRUVGEkMDAQPrtjCa7ffu2lhZKBUDUB9Dr0M4K6enpql7SbDbb3d39s88+64FgTNujvnaaQTU2NsbHx9OFQIQQW1vb6OhoT0/PDp+WrsE7ffq0VCpVrZmkaMGVyMjIXt4AvX319fXp6elnz55NTk5WbaQzqxMnTnR0dDQxMRGLxePHj7e2tn7vvfcwYj1Dt7+P6LASjLm5OXnVlWAMDQ0DAwMDAwO9vLz8/PwIIadOndKclb0DBgzg8XgHDhz49ddfjx49mpCQsHfvXlNTU00+7gj5ABD1AWg0VeqmeoUPgUDA5/Pd3d07Mwf1ohgZGXW1T67maGxsbPPLe9rJbfv27ZWVlYQQLpcbFBTk5eXVTkqVSCQSiURFRUUFBQXqA8JisRwdHWfMmIHqmh0qLCxMT09vUUuWltx0cXFByc1XrrelwKlXgunfvz+fz9ecSjAxMTHDhw/fuXPn4sWL9+3bJxQKNWroHBwcjh49SggpKSmZOXMm/u8AIOoDgE6pq6srLS2lqZsymaysrOzOnTs0dXP16tXWf3ixqZudZGJiUlRUpLFDV1VVFR8fn56eLpFIlErl0KFD3d3daS1HQohcLndxcVHtnJ+fn52dXVJScunSpT59+syaNWvz5s08Hs/W1pbGe/X19QqFQtUlr7a2ViaT3b17986dO2w2e8SIESwWy9vbm8PhDBs2jMPhMBiM7i3503mPHj0qLS2VSCQSiYR2hqyoqDAwMBgzZgyLxdqyZQuHw6FndS8vWgMaEv4RQq5evdqNSjAv7y3t2LFj/fr1n3/++caNG7/66qsPP/zQ2dlZQ7o7jBkzht6orKxE1AeAqA8AOkBTNwsKClRZgmw2m8/n79q1q5OdFXoAk8lMSUnR2DFcsGCBelBaVVUVERFBCImKilq9evX9+/d5PB79ccuWLQqFghDC5XIPHTqkSpqSSqXx8fEXL14UiURSqVT9g/P5fMEfcLp2RnZ29tmzZwsKCmjSLCUQCDw9PV1cXFC6RivQ/ya99Hqo65VgXioTE5N//OMfmzZtcnFxWbhwIYPBOHXqlCb8OnrttdfoDT09PfyXAUDUBwBetcwmAAAgAElEQVT/Qzsr0CosdOrj1q1bw4YNU++sYG1tPWzYME1750wmUyqV1tfXa9qkVlNT0+zZs583D7lp0yY2my2TyYKDgxcuXDh48ODJkye/8cYbPB5PqVRmZWVFRkbev3+/vLycwWCYm5uPHDlywYIFI0eOZDAYdCoPhSLb9/Dhw+LiYtVsXnl5+a1bt5hMpqWlpaWl5YIFCzgcDpfLRaQHWq0zlWBUM4Ev6T0YGBh88803//73vzMyMhYuXKgJ3R2uXbtGb4wfPx4nCQCiPgAgJSUlycnJLRYyvcDOCj2ABj/5+fma1itcJBLl5uY+795Hjx65uLjo6ekplcqRI0eWlpbevXtXda+tre38+fPRAL0bkpOT6WyeaoKawWDY2tquWbPGxcUFtdFBJ3VYCYZ6eZVg+vXrR7s7FBQUzJkzh3Z3CA0NfVUFeGhvGw6H0+1F5jRVtTdPLAMg6gPQBWKxODk5OSUlRf3K2NnZ2d3dXXNSNzuJTvG1qFSpIRF1h/s0NzdXVFTQKww7O7u5c+fa2dkhXbOrysvLU1NTT58+rZ63SUtuzp8/H+MJvZB6JZjY2FhaCrgHKsHw+fyysjJXV9edO3fGxsaeP3+eJrH3pKKioi+//JK+me5feurrI+oDQNQHoMWePXs2YsSIxsZG9dRNFos1cuTIfv36aeMnGjlyJCEkJycnODhYo97Yr7/+2uE+EydOjIqKoo3y0O2teyIiIrZv3z569Ghra2sHBweatMlkMpEBC0DDP6FQKBQKe6wSDJPJzMnJ+frrr9PT0x0cHBYsWGBsbPzyPuCVK1fojYcPH169evXmzZtpaWmEEA6Hs2nTJpwAAIj6AHqpPn36qGcS6gAzMzNCSH5+vqa9MVU5gefR09OztbXtyS4XOol2D8M4AHRwLdWDlWAGDRrk7+/v7++fnp7u6ur6Ur/SmjJlSuuNTk5OmZmZOOgAiPoAQKcuZaZOnZqfn19TU0MjQA0xadKkDvfRpQZ6TU1Njx8/7t+/v5ZOGgP0Nj1QCcbFxeWnn35at25dfHy8u7v7hg0b1qxZ82K7OyxdulQ92jQ2NnZ1dVV1bgAARH0AoDs0NuqbMWPGxYsX27zXwMBAqVTqUtSXkZHh6uqak5OD7lgAWuRlV4IxMTFxcHCIj493dXXdsmXLrl27Xmx3h7i4OBxEAN35jYQhAIB22NjYEELkcrmmvTGRSDRw4MA275o2bRr5oxSNbigsLCSEmJqa4oQE0Gq0EkxiYuKvv/4aHR1Na6LExcXZ29vr6en5+vqKRKJuPK2vr290dLRCoVi4cGFGRsar+nR1dXWXLl3Kzc198OABjjUAoj4A0CaOjo4GBgadqZnZ83JyclxdXVXFDPr16zd79uydO3fOnTuXEKJLzeJo1I2oD+AlUTXX6cnwTygUXr169ffff79+/fqRI0c2b95cX1/v7e09ePBggUDg6+sbGRkpEok6WevS39+/qqpq8eLFCxYsGD169MGDB3vyQ33xxRcTJkx48803V69e7eDgYGlpSd8PTi0ARH0AoB1MTEycnZ01sHkDIWTixIlnzpypr69vbm5ubm7+7bffMjIygoKCqqqq2Gy2LtWZrK2t7VVRH21EJpVK8R8QegCDwZDJZK/q1WklGH9//23btqWnp9+9e/fq1auTJk2qqKhYt26dvb394MGD7e3tw8LCOvwfwWazP//886qqKkdHx1WrVg0fPrzHvrArKyvbtWuXQqEoLi5WKBSTJ08+evToyJEjlUolTjAARH0AoB3mz59fVFSkRW+4uLjY3d1dlw7Bd999p6oE2HuiPoDeiVaCuXr16k8//XT+/Pndu3e/9dZbOTk5NjY25ubmbm5uYWFhsbGxYrG4zYczmczo6OgLFy5MnDjRwcFBKBRmZGS87Hm/rVu3zpw508jIiBBiZGS0ceNGuv2nn37CAQXQEKjmAgAdcHNzW758uVKp1JZr8bKysr179+rM+NfU1NTW1r777rsttkuzwsxn/7cgROCF5t0CnKoAOsXExMTR0VFVCaapqSk7O7tFJRhbW9s2H0s7xdPuDocOHXJ3d09OTn55b7VFN0Imk6l6zziOABoCc30A0PGfcxMTk4KCAq14twqFor6+XpcW9VVWVhJChg0b1mJ7ZOYvVc3Nzc3N3x3/KMJeL0uKUxVAl+nr66sqwZw7d87T05MQQmf87O3t26wE4+LiUlZW5uzsnJKSMn78+BaJrOXl5Rs3brS3t3d1dU1KSnqBEdrjx4/pjf79++PAASDqAwCtMWbMmPj4eK14q0lJSWPGjNGlFMH8/PwRI0a07pwRuWcPmxBCyNseK5cS8k3+93R7RmL89wqSejQsLCwsLCxLQYg0KywsLCws/nsFTmV4Pl1aCqvbVIVAf//99+3btxNCvLy8nlcJhsvlnjt37vTp00ZGRhMmTAgJCcnPz6+trfXy8powYcLOnTtFIlF6evrixYvHjRuXnZ1NCKElslSFsrohKyuLEOLk5KRLtZQBEPUBgO6zs7NLSEjQilydQ4cOPS/lSUuFhoba2dm1ew3YX73MS0ZS+DuD9RrHB4SFCR6Hz547Z8qqu75hYb6Pvd8ZPOcoAj94Hn19fdTe0LpDRrMAli1b1n4lmHHjxolEoq1bt27fvn3atGk2NjYJCQmNjY3qz1ZWVjZr1qyNGzeuXbtWoVD8mQo3iYmJhJAjR47o62MlEQCiPgDQHmw2W6lU0lRDTSaVSsVisYWFhc6MfE1NDWm1ZqbVx5ZEEGJnPVK1wTmmyuttBiGC1THOdf0mnFvGJoS9OsaZZCTfQdgHz4eoT9upKsGUlZUFBwezWCyRSBQeHm5ubm5vb6+vr3/hwgUul1tfX/+8Z4iMjGxsbDQyMup2xkRaWlphYeGZM2daZygAAKI+ANBotJXwtWvXNPx9xsTEEEJaFz7RXnTM33jjjXb22bPlk8k+mS5v/y8y5I1iq26bDlaPGCuf4KoeoNeEf9XV1bdv31YVAt2zZ4+9vf3PP//cfuR/5syZbr/uqVOn5s2bFxwc7OrqiqMAoFEw8w4AHePxeAwG49q1a0uXLtXk9/nPf/5Tx6K+nJwcQsisWbOet4Nog97BRx/dPu3UuedD1AfQi/Tp08fCwsLCwkJVCFSpVLLZ7PYfRRuEdkNdXR2N90JCQtrZDa1ZAF7NLwQMAQB0SF9ff9myZRpexlMsFisUCmdn5w7yIbWHUqk8ePAgIWTQoEENav6bhqf4IWD+aPsrPkf2huEUBYDOMDAwGD9+fIe/ebr6tE+fPo2JiZk2bdrkyZMTExMHDhzYYdTXYdN5AEDUBwCvwJo1a4qKihQKzV0Wlp+fTwj56KOPuvSoioqK3Nzc3NzcoqKihoYGjfpEP/74I70xYcIEhpqdO3cSQsIClu5/Glx1OVYwioHzEwA6afbs2e3v0I2CWCkpKcuXL7e0tIyKimo/5AMARH0AoNHYbDaTyUxNTdXYdygWixkMhkAg6OT+RUVFq1at4nK5Dg4ODg4Otra2DAaDlp7TEH379m1zu6urKyHSG5evkAx/c73/Gj0/AGcpAHRIKBS2X1qTx+N19TlpVsKmTZsePHhQo0bTvkoD6M2wrg8AOmvWrFnh4eEeHh6GhoYa+PYuXry4devWTq4YOXDgwIcffkgI4XA4tFaNXC7Pysr64IMP/t//+3/vv/++JnwiFovV3Nz8vHtP3277rsjTt/8Xqy87d3nZ/243L8NZDNDbGRgYrF69ev/+/W3+ztm6dWuHC/9auH///q1btwghkyZNanHX8uXLDx8+jDEHQNQHANpk5syZx44di4+PFwqFmvbeRCKRXC5fs2ZNZ3auq6ujIV9ISEhwcLAqH6mhoWHZsmXPnj3DsQYAHRYZGamnpxcZGam+kc1m37hxoxvrot988812WkEAAKI+ANAyjo6O+vr627dv9/X11agibM+ePdu4caODg0Mn9//mm28IIRwOJzAwUH0JipGRUVJSklY0owcA+DP27dvn7e2dm5tLe7Vzudz33ntv0KBBGBkARH0A0NsxmUwvL6/Y2NjCwsKpU6dqzhuTSCQFBQX79u3r5P4PHjwghLz//vtGRkYtfyfq67e/4gUAdO1KSF9fKpV2Na1RB7z99ttvv/02TgCAXgLVXACgC3x8fMgf1TI1B20pQZfndd62bdtwQDWZJheMBV2imQuVO4nmJqADHgAg6gOAF0kgEPj4+Jw5c0aj3lVqaiqfz+/8l9aq+NDDw6Ourg6HVdPQNDNEfQAdovmZTCYTQwEAiPoA4EU6ePDg9evXxWKxhrwfpVJ59uzZ6Ojofv36dfIhU6ZMcXV1JYSkpKTMnTu3qKgIh1Wz/jL1wd8mAAAARH0A8OoYGBjMnTt3+fLlT58+1YT3IxQKJ06c2NW2wvv373d3dyeEFBYW2trazp8/PzExUSaT4fhCr4UVrQAAiPoAAP7Hw8OjsLAwLy/vlb+T1NTUuLg4Nze3rj7Q3Nw8OTm5urraycmJEHLmzJkPPvhg+PDhJ06cwPGF3onFYmEQAAAQ9QEA/JednR0hJDs7+5W/k/DwcEJItwuKmpmZff311xEREaotf//739VX+mWF+erpbZAqvp+jR00R0TtEG/67YYMI5wPoDKylBABA1AcA8F9cLnfr1q2JiYm0kMCrkpGRIRaL3d3d33333W4/iZGR0fr16yUSiVAo5HA4Eolk2rRptbW1artcceb/9c3Q0NDQ0AUTH9jrjV60UKC3+afQ0NCgFQtIhP3CfyTilAAAAABNhiR+AOiOkJCQhISELVu2dL5L3gsXExPDZDLj4+P/fPGP0aNHR0dHSyQSS0tLiURy+PDhsLCw/0V9Id9Fer1NCFHMszj1jvfXtVOaL8cSQghRjK45tfO7bwlZjFMCAAAANBbm+gCgm3x8fKKiopKTk1/Jq+fn52dmZp48efIFNqricDjz5s0jhPzyyy9qm52Xuvy3JwRjiCkhxGfWB3/cxXhHYFFZj6Q4AIDOor+0aadBAEDUBwCaztfXV19ff+HChXK5vIdfurGx0dXVdfbs2d1e0fc8ffv2JYR0vgkEw8QCZwIAQFejvnv37mEoABD1AYAWYDKZAQEBhJDU1NQefumMjAyFQtGN0p0dqq6uJoSMGzcOxxcAAAAQ9QEAkK1bt65evXrv3r09WdalqakpIiJi9uzZHh4e3Xj43bt3J0yYcPjw4RZTlBUVFf7+/oWFhRwOZ8aMGTi40Es0NjZeu3YtJiZGKpViNAAAdBWquQDAn/gNoq8fFRU1duzY5cuXJyb2UCnLbdu2VVdXi0Si7q3o09PTKywsLCwsXLlyJSGEtm04c+aMqv3g119/PWzYMBxc0G1isbigoODEiRMikUi1ccmSJRgZAABEfQAAbdiyZcuiRYtmzZr117/+9aW+UFNTU3Bw8P79+3ft2tXtIi4sFuvy5ctHjx7Nz8+XSCSBgYF0u52d3ejRo9euXWtjY4NjCjqmpqamtLRUJpMVFxcXFxeXlZU9evSIzWZbWVmFhobyeDwej8disQwNDTFWAACI+gAA2vD+++9fvXp1/fr1f/nLXxgMxst7ofj4+D179ggEgo8//vjPPM/kyZMnT55MCKmrq6utrX348CGXy21zfs8pLLY5TO1ntlNzc7P6Duxl55qX4RQADSUWi+Pj41NSUlTZmyYmJh4eHiEhIY6OjhgflZ4vSQUAgKgPALTPjh07kpOT/fz8Tp069fJeJTY2lslkvsBUUlNTU1NTUxw+0CVKpVIkEiUlJZ04cUKpVNKNbDbb09NzxowZAoHgBTY70Q2GhoaqgQIAQNQHAPBcBgYGu3fvXrx4sUAgSEpKYjKZL/b5GxsbAwMDa2trr169+sKfHDRNnz59CCEKBRohduzRo0elpaVSqbS0tLS0tPTmzZsSiYTJZI4ZM2blypUsFkuVvYmxeu6VkD6uhV66xsZGmmBcWlp65coVDAgAoj4A0Faenp7l5eXh4eFCofCF93IICQk5dOjQqVOn2Gw2hlrnDRo0CFFf+xQKBZ3NU9Vi0dfXnzp16saNGz09PTGbBxpCLpenpqYmJCTk5+er/7E4deoUn8/H+AAg6gMArRQWFiYQCHx9fd3c3A4ePPhCJuXkcvnOnTtPnjx56tSpl9GgD0DzSaVSmUxWUlJSUlJCJ/Tq6+utra2trKzCw8Otra3pnB5qscCrpVAoSktL6YRecXFxdXV1fX29hYXF2LFj586dy2azra2t0Q0VAFEfAOgCgUAQGxtrb2+vUCjUK8J3T0lJyYQJE5RK5bFjx9zc3Kqqqqqqqjp8lLm5ubm5OY4FaLvCwsKUlJSkpCRVLRYGg+Hu7v73v/9dIBBgfEBDFBQUJCcnJyQkqIri0HWkwcHBWEcKgKgPAHQ58IuOjl67dq29vf2pU6f+TFXP5cuXK5VKX19fLy8vQsj27duPHj3a4aMCAgL27duHAwFaKj09PSUlpaCgoLy8nG7hcrl8Pt/d3d3FxQXjA5qAFg0qKCiIi4tTfSvBZDIXLVrk6emJ7E0ARH0A0CsIhcJhw4Z99NFH5ubmW7ZsWbFiRZdyz5qamuLj48PDw4cOHXr9+nU7Ozu6/dmzZ/TGwoUL+/fv/7yHT5w4EYcAtMLTp08lEgktxCKVSmknPQaDMWbMmIkTJ65cuZLH41lbW7fZVgSgJ9G8TVo3qKysrLy83MTEZMSIEXPnzqVn6bhx415q5x4AQNQHAJpo3rx58+bN27hxY1BQ0ObNm0+dOuXs7NyZBx48eDA8PFwulzs7O586dUo9O2jatGnHjh2jUeXMmTMxyKClaImLixcvZmRkqIrWcLncJUuWeHh4cLlcDBFoyIlaUFBw4sSJpKQk1capU6cuWbLE09MT5ZQBEPUBAPzXjh07Fi5c+MUXX/j4+IwcOdLGxmbq1KlTp041MTFRn/2TSqXXrl3Ly8vLzs6+d++eg4ODUChsHSUuXLjw/PnziYmJK1asSE1N5fF4GGHQfKoSF7QiS1FRkVwuZ7PZI0aM8PPzGzdu3Lhx46ytrbH8CV6thw8fqs7SkpKSsrKympoaNps9ZsyYzZs307OUxWJhQg8AUR8AQBvefvvtmJiYysrKPXv2pKamHjp0SHUXn88vLCwkhNDiKwYGBkFBQcHBwc+7/DU0NPzqq6/s7e1XrFgxduzYH3/8EV82g8YqKCig8yQFBQWqjS4uLjt27HB2dsalM2gIqVSanJxMl5LSLQwGw83NTSgUYh0pAKI+ANAmRUVFDx48GDRokGqBXM+zsLCIjo6Ojo6OiYlJSEiQyWSVlZWqiwyBQDB79uyAgIDOTHcsX748Pj4+Ly9v165dqNoCGigsLEy9xIWBgcGiRYt8fX35fD4m9EBzvpWgwZ7qRGWxWF5eXhMnTnR0dEQXEABEfQCgfbKzswMDAz/88EP1qO/Ro0e0F3YLSqXywIEDzc3Nq1ev/uWXX4KCgjr5KsHBwVZWVh3u5u/v7+/vr359HB4efuHChS59oh07dkyZMuX48eNOTk5z5szBIYZXRSaTqbqTlZWVyWQyQkhmZqaDgwOPx6Nt9LBOD145qVRKmz3SHM6bN2/26dNnzJgxc+fOpWcpj8djs9kYKABEfQCgNZRK5fHjx99//30jIyP17X369FHdlkgkS5YsSUlJMTMza/HwK1eufPLJJ4SQ/Pz8Tz/99Msvv+zk665cubLHPuPkyZOvXr06adKk99577/Dhw8uXL8dxh578L5aRkZGSkhIfH6/ayOPx3N3dBQKBvb391atXMUqgCZKSkmiOsaqTnkAgmDRpUlRUFNZFAyDqAwDt9re//e3YsWM0dafNLB2lUrlp06bCwsLvvvuuddQ3c+bMu3fv/u1vf6uoqHj48CHdePHixeHDh6v28fHxuXTpUnl5eb9+/VQb33jjjZ78mHw+f+fOncHBwStWrOjXr5+Pjw8OPbwkxcXFqgm9e/fuSSQSU1NTKyur9evXs9lsWrPexMQEAwWv0JMnT0r/IJVKy8rKiouLORyOlZXVokWLrK2t6YnaZooHACDqAwDt4+/vf+zYsaysrLS0tMWLF7feITU1NSUlxcnJacGCBW0+A4vFSkxMvHnz5ptvvkm3DB8+nBZcofr373/48GFLS8tX+0mDgoIuX76clpbm6+s7Z84cU1NTHH14UeRyuWqehG4xNDR0dHSkTaiRC6djlEqllr7zpqYmQoivr++3335LP4WBgQGfz1+7dq2XlxfWkQIAoj4AnWVjY0NvZGRktI76Hj9+TDdaW1u38yQDBw7k8/lVVVXqG/X09FS3s7KyVqxYQW87OTllZma+kg8bExPj7++flpbm7+//9ddf4xIH/iSxWEwLb4pEItVGZ2fnRYsWubi4YEJPN6+E9PVVCZBa+q3ExYsXaeFNd3d3Dw8PHFMAQNQHoPsGDhx4/fr1VatWtVmxs7a21snJSSqVbtiwofW9TU1NBw4ckEgkn3zyifrknsYyNTU9fPjwzJkz09LS/vWvf/3tb3/DCQCdV1NTQ9PhaPbmrVu3lEolm822srIKDQ21tbWlFVk0+duEpqYmuVz++++/6+vrq6dhQ5d+Z2ry23v27FlNTY1UKqVpxiUlJbdu3WpsbBw7duy4ceOMjIwyMzMzMjJmzJiBr70AAFEfQO9iZ2d3/fr1Nu8aPXp0O/NyRUVFH3/8MSEkNzf3/PnzrXdobm5ufd38aoupMJlMetHWv39/HHod09jY+DIqyLeuWc9kMt3c3LZt2zZ16lTtGqKMjAxXV1d6OzEx0dPTE6eNzsjPz09ISEhNTVVNRbLZ7CVLlkRFRdna2tItkZGRmZmZlpaWCPkAAFEfQG+xbt26Nrd///33hJCLFy8+b4cVK1bQpgvvvPNOeXl5ZGTkyZMng4ODw8PDW+wZFhbWYktDQ8Mr/MglJSWrV68uLCwUCoVLlizBOaAzmEymXC6na5b+DKVSWV5eLpPJ6GwenScxNDQcM2bM7NmzaX0LNpttZmamXuRWi6Slpaluh4aGuri4oNOaNlIqlbQLCJ3Qu3nzpkwmGzBgwNixYxctWkTbKlhbWw8bNgxjBQCI+gB6u8jIyHbuvXHjxo0bN9q8y9XVVdVqz9LSMjo6+i9/+cusWbNarOsjhLSOAwkhTk5Or+TzyuXysWPHEkIWL14cHR2NE0CX/PmJi+Tk5ISEhOzs7MbGRrqFz+d7eXl5eXkxmUydGSi6/tDV1TUtLU0ikVRUVLzzzjs4f7RFeXk5XUeakZGh2ujo6BgUFMTn89HpEQAQ9QFAGyIiItR/VCqVISEhHA6Hll15+PDhp59+amdn1zoHzNjYuMWWWbNmtfkSGpXhuWvXLnpj/fr1OPpACFEoFLTEhaoWi4GBgbOz88SJE319fXWv8KZEIpFIJISQTZs20Um/tLQ0RH2aTyqV0hNVLBarNgoEAnd3dy8vLwaDgSECAER9APBcLYKfhoaGkJAQNptNt1dVVX366afW1tZ/JkZqPftXW1v7Sj5sWlra8ePHORxOZGQkLnN7bYxX8geZTHbz5s07d+6MGzfOysoqKCjI+g8DBgzQ1RGIi4sjhLi6uvL5/A8++OCrr74qKirCiaFp5HI5TTAuLS0tKyuTSqUKhYLL5drY2CxZsoTFYvF4PPRMBwBEfQDwCmRnZzs6OrbePnLkyNYbez7D88qVK/PmzSOElJaWok1fb1NYWJiSkiISiVSd9JhMJp/PDw8P9/Ly6lWxxKeffkoI2bp1KyHExcXlq6++Sk1NbWhoMDIywnnyajU1NeXn58fHxyckJKiaAVpYWCxZsoTP5wsEAhRfAQBEfQDwYvz444+EkG6UdmhoaPD391+zZs306dPpltdff50QsnTpUvrj9evXy8rK5syZ88YbbxBCRo8e3cMXuytXriSExMbGIuTTbc+ePVMVrKf9FcrKypqammxsbEaNGjV//nwej2dtbd3mlxE6j1bZtbKyoi06J02aRLd/+eWXa9euxcnTw0pLS2lbhZKSknv37pWWltJaLCtXrqSFWKytrVksFgYKABD1AcALlpSURAjpRs23r7/+urq6etasWQ8ePKBb+vbtSwhZvHjxpEmTjIyM1q1bV1ZWFhISwmKxduzY4ebm1mMfqq6ubujQoYSQiIgIHx8fHGXdNmbMGFXNeiaTuWTJks8++4zP52NkCCEXL14khDg4ONAf2Ww2reny4YcfLlq0CF+I9ACFQkGLBhUUFNAJPX19fUdHx9mzZx8/ftzCwgJDBACI+gDgpSspKSGETJ48uZ19cnNzCSEWFhZmZmZ0S0NDw4oVKzgcjo2NjapPw2uvvUYI2bJlS2Fh4f3791UP37Fjx8GDB/X19Q8cONADn0ipVPr7+xNCpk+fjgouvYFcLre1tV2yZImHh4fu1WL5k27fvt3iP/jy5ctpTZfc3Fw07nt5aOHNlJSU9PR01UaBQLBo0SI3NzddqhALAIj6AECjyWSy7du3p6Sk2NnZOTs7t7NnTk7Op59+umbNGhq2KZVKb29vQsjMmTMJIdXV1TS0MzAwSEhIKCwszM/PV59D2LlzZ0NDQ2JiopOTk6pV9Muzd+9eelG7Y8cOHGXdtnv3bhMTk3Hjxg0ZMgSj0dr333+fl5dH1BI76X/bYcOG1dbWhoaGzps3T4fL2PTwVw+0XJBYLC4pKSkrK3v48CGLxRo7dmxoaCht+chisdAmEQAQ9QFAjzp37tx7771HCOFwOGfPnh08eHA7Oz969IgQMmXKFPrjlStXaFi1evVq+iMh5C9/+UtVVZWXl5eTk5NqT8rIyOirr76aMWPGvHnzvvnmmzlz5rzUj7Z582ZCSEhIiFKppLOUbRo0aJCdnR3OBK3m4eGBQWjHkSNHCCGurq7qU6ADBw6cMWNGYmKiRCIpKytDbds/o7y8PD4+PiUlpby8nG4xMTFxcXEJDgPLewgAACAASURBVA5us9KVpqmpqWm90dTUFFVkABD1AYDW27Nnz5kzZ+gMgLu7e1hYmPq8XJ8+fQghZ8+enT17tmrjd999RwhRFQ1XPZbL5X766acSiSQmJobD4dAC8bSGypUrV2idGJV//vOffn5+PbaIZdu2bdu2bWtnBycnp8zMTJwPoKsuX7588OBB8sf3IOoEAkFiYiIhJDExEVFf58lksoyMDNpfobi4uKysTF9f38rKasqUKStXruTxeCwWy8LCQl9fO66aZsyYQX+Zt2BsbCwQCEaPHv3JJ5+0/4UgACDqAwDNVVlZmZeX5+rqGhUVpVqnpzJixIiQkJBt27ZlZWWpb09MTFRFfRs2bPj+++/37t2rr6/v5eV18eLFZcuWEUJ8fHwsLS1pFY2rV6+eOHGC/LHYjwaN169f74EPGB8fr6rt0Y7hw4fjZAAdtmvXLkKInZ3dxIkTW9xF5/kJITdv3sRAdd7Ro0ePHj1KCLG1taWt0rV6HWmbIR8h5MGDBykpKYSQ6urqr776CscdoFfRa25uxigA6Ibc3NwBAwbY2tq2k8NTW1vb1NSk+lFfX79Fkc+6ujrVDGF1dfWIESNaPENSUtLixYsJIfX19cbGxn/yPYeFhYWHh+MXEejOn1W9l/uHVS6X0zK29PudFvf++uuvXC6X3lYoFGjc1xmOjo7/+c9/ZsyY4eHhoXXd0iMjI9etW1dVVaUepurp6dEb6qdiXV1dTEyMan64urq69ZeDAKDDMNcHoDtoCZb2ddjIQT0ptHXIRwhxc3NTKBSvvfYa1ocA9LwLFy7QG2lpaXQV7vMkJiYKhUKMWIe++eabfv366fzHNDU1DQwM7Nu37yeffEII+fzzzyMiInD0AXqPPhgCAOgSAwMDIyMjhHwAr0ROTk4n91y1alVdXR1GrEO9IeRTfVJVm9M9e/bg0AMg6gMAAACNo1Qqs7OzCSEcDufx48fNz0HLLxFCvvjiCwwaqFPP5gAARH0AAACgca5cuUK7aIaHh7fTjm/+/Pn0Rnh4+IMHDzBuoCKRSOiNkJAQjAYAoj4AAADQOCdPnqQ33n777XZ2MzIycnV1pbdb9FmBXk61FnTu3LkYDYBeBdVcAAAAtIBMJqNt+vbs2cPhcNrfWbVDen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)
ここで、上記原稿面 Aの後ろにさらなる物体面 Bを想定し、この面上の点 Pi を考えれば(図
1)、それらの点における透過関数はこれらの点における複素振幅場を考えれば良いわけであ
るから、Q’i から Pi までの透過関数を用いて
iiiii dQPQKQSKPsK
,,,,,,
(13)
と表せる。また(8)式と同様に考えて
dSPSKPSKSIPPJ
,,,,, 2
*
1
2
2112
(14)
2122
*
2
*
111
2,,,,,,,, QdQdSdPQKQSKPQKQSKSI
(8)式から
2122
*
1121122112 ,,,,,, QdQdPQKPQKQQJPPJ
(15)
となり、A,B 面上の各点間の透過関数が分かれば相互強度の伝播を計算することが出来る。
結像を、光源から原稿、光学系、像面と通じて総合的に表現するためには重要な関係であ
る。
3. 参考文献
1) M.Born & E.Wolf : 光学の原理Ⅲ、第 7版/草川徹訳(東海大学出版会,2005)
2) 小瀬輝次:フーリエ結像論(共立出版社、東京、1979)
3) 牛山善太:波動光学エンジニアリングの基礎(オプトロニクス社、東京、2005)
4)Emil Wolf :Introduction to the Theory of Coherence and Polarization of Light
(Cambridge University Press,Cambridge,2007)