\n",
"تطبیق Brute-Force از لحاظ الگوریتم واقعا ساده است. هربار یک ویژگی را از تصویر اول در نظر گرفته و براساس فاصلهی توصیفگر این ویژگی از سایر توصیفگرهای متعلق به ویژگیهای تصویر دوم نزدیکترین مطابقت ویژگی در نظر گرفته شده از تصویر اول با ویژگی تصویر دوم را پیدا میکند.\n",
" \n",
"برای تطبیق BF، ابتدا باید شی BFMatcher را با استفاده از ()cv.BFMatcher ایجاد کنیم.\n",
" \n",
"این شئ دو پارامتر اختیاری می گیرد:\n",
" \n",
"اولین مورد normType است که نحوهی اندازه گیری فاصله مورد استفاده را مشخص می کند که به طور پیش فرض cv.NORM_L2 است.\n",
"این فاصله پیش فرض برای SIFT، SURF و الگوریتمهای مشابه این روشها خوب است (cv.NORM_L1 نیز وجود دارد). \n",
"اما برای توصیفگرهای مبتنی بر رشته باینری مانند ORB، BRIEF، BRISK و غیره، باید از cv.NORM_HAMMING استفاده شود که از فاصله همینگ به عنوان اندازه گیری استفاده می کند.\n",
" \n",
"اگر ORB از WTA_K == 3 یا 4 استفاده می کند، باید از cv.NORM_HAMMING2 استفاده شود.\n",
" \n",
"پارامتر دوم متغیری به نام CrossCheck و از جنس بولین یا bool است. این متغیر به طور پیشفرض مقدار False دارد ولی اگر این آرگومان را True بزاریم فقط مواردی را بر میگرداند که اگر زوج مرتب (i,j) را اینگونه در نظر بگیریم که توصیفگر i-ام از تصویر A با توصیفگر j-ام از تصویر B تطبیق پیدا کرده است، شرایط برعکس هم برایش صدق کند. یعنی این دو ویژگی با عوض کردم جای A و B بازهم باید باهم منطبق بشوند که نتایج مطمئنتری را برمیگرداند!\n",
" \n",
"پس از ایجاد این شئ، دو روش مهم BFMatcher.match() و BFMatcher.knnMatch() را خواهیم داشت. اولی بهترین تطبیق را برمی گرداند، درحالیکه روش دوم k بهترین انبطباق را برمیگرداند که k توسط کاربر مشخص میشود. \n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
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O0rCyPKqHTjdms1m4XC7k83kYhoFisQir1YparYZisahWBqVSCZVKBX19feqkX7PZhNPphM1mw+DgIGw2mxLmzWYTyWQS+Xwefr9fIRo6HKRpGgqFghLshJjC4TD6+vpgtVqVcqBVztraGmw2GxwOB+r1OjweD+x2O8LhMJxOJ9LpNHK5XJvJjCtBmmgjIyPY39/HzMzMIUaXKLOTvZjTUo77x7XbSrulRL9mY0x05+PMTYAfR2hLnuQ8wvvUib/IRCf7K/czpCKUJk6pJPgqkwQ7ecbQ77z/cjzM+s3nQqPRQDKZxLVr13Dp0iXlMcLt1mZjTGCIhy8wm3NWq1V5fXH+oDZT38gsw8261I5OgM+Mj/nvxWJRrZTle7xcv99/yMOP8vL+88+cPrz/so//JpA7DRRwuGPcNgyYT3SJ1qlMSmZoThKbBlMuyymvGdKT3820Lv1tb28jk8kowV0ul9FoNFAoFNpOuUnmS6fTsNlsCAaD8Hg8CtkDUOaV7u5uFAoF+P1+JBIJ5HI5NBoNJZSprP7+fgwMDGB4eBgejwe6riOVSmFrawu9vb1wu93KAyCbzcJqtarNKMN45KdO7l3cji8FCx+j5eVlTE1NYW1tDaVSqS3GRyfkZ5akQj4qP58M8vtRCK7TpOF8ZrVa23y0JQ3M0GCncs34me81kBA4KpltYnOvDs7vXJjzfQmPx6M2QqWi+Th0pv0HLqQMw1ArxXfeeQcXL15EOBxW84w8tqQgpeRwOEwBHAEaWg3zPSE+5wj9k3DlNOd9MgN3cn+PA0QCStxzj6N1fiArGAy20bETIDQDKFwW8f+cDkelx0K4A48Y2SyGiCQePaf/klgSDfLv9Xody8vLmJiYaBtkqSgkqpAMJttC75iZAbi9mhCY3+9Xhz4IvZfLZaRSKej6o2PNtVoNCwsLOHfuHBwOhyrH5XIp/9mDgwOEw2EEAgHYbDYEAgGUy2UUCgWFxk+ePInz58+rE3+kLO12O7a3t5HP55UN1OPxYGxsDNlsVikSogfZ/skWTy5m0lTBx8JiscDj8ajj6mZ5OH07IXSZl487F2SSD8zaxdsmlX+nDURKZkKEC/ZOq0AzpMgnPX/G80vhyj1IzNrP+yv/qN+0R6VprYOA1WpV8aGZQuy0wUe/dXd34/z587hx4wbS6bT6nRB0JpPB1atXcfnyZUSjUWUGIoAglRsBC8lXHFU3Gg2USqVDZlBqF4FCp9Opnskx4kJUJj62vN+6rh86wMR5lb/X3d3dth8n+VoKb94HSW+pYD4qPRbCnU/MTgJVfuc707Kj0obH39nc3EQ4HEaz2cR7770Hp9OJ/v5+RKNRtQw8CpVzJUC/8QE2WzGQ3bq3t1cJ0GazCZfLhXK5DLfbjXw+j6mpKaTTaTQaDRSLRezv7+Pg4ACFQgGLi4t44oknlO2SlAb5FFMwq3A4jNXVVQwNDaFYLCKXy6FYLGJrawsjIyMIhUKo1+tKcWSzWQwMDCAUCsHj8ShTDm0YEUIixUJmoVAohGw2C7/ff+TOvqa1NnXn5+cRDocRDocV6jXbfJZjzj/zicY3x3leie5l2VzAdTLnyHHmXiTEX3IFYMZvvD2yf3K1Qv+5CYjvOUga85UuL5+Qt5nHBX9G9dMqjMyEXNhIgckTz6frrQNpmqbh6aefxttvv41MJtNG73q9jnK5jLm5OVy6dAldXV3q/AoXxHw+kVDmQp3TVNM0lEqltv7QOJEsoYNQsm+dwIQsS/Zf0zS1x8U3qWW7KBFyJ1pL06BZfZL+0gmgE/CR6bEQ7gAOuZR1mgT8mRmKp+ecQMTU6XQahmGgu7sbDx8+xLlz57C+vo4bN25geHgYo6MtTxL5vpmwp/9yEDijUL31el2ZQ9LptFrCbmxsqMMN9D+Xy8Hj8SAUCqFQKODg4AA2m03ZLs+fP4/e3l61+ZrP5+Hz+dRSFQBmZmYwODiIZDKJXC6HbDaLnZ0dXLt2DSdOnIDb7YbNZsPBwQGGh4cRjUaVEC8Wi0qQZ7NZ9PT0QNdbbmkDAwPo6upSAsFut2NpaQnFYrGt73yi0NHrixcvtp1T6LSk5HQ3Y3rO4EC7/ZvzAP3G28WXuZRPThY5sXi5HEnzuEL8HVp5dtoz4v3o9LvkM24qkULfrDxepkSmPB+tqMhcyMdNtsEMbdJnq9WKxcVFZDIZPPHEE3jqqacwPz+P3d3dtvEhAX/t2jXMzMygXq/D7Xa39YGbawhsmW0eAy3eopAhvK2cD4nXeX/MQIOkIzfRSnlApktu1uJmYyrD6XTC5/MdKac4T3IhfhSgJJqYKV2eHivhDnT2Muj0XwoCqRGJMLS5MzExgd3dXWW/PnnyJAYGBnD16lXU63UMDg4qAcYnNJVthtY6KSD5Hgn1QqGAfD4Ph8OBZrOJYDAIp9OJWq0Gv9+Pvb09NBoN7O3tKdpYLBaUy2Vcv34dTzzxBKLRaJvZhDZlvV6vsgeGQiF4vV7FeKVSCRsbG4jFYmpZa7PZUCqV4HQ6Ua/X1cqh0WigXq+jWq2qjVRd1xEKheB0OtXG8PDwMBYWHoUNMkN79Xod29vbaDQaanP4qPGTwoqQFxcAHNHSf7lvIhEfHxvu5SSRkKY9OhFrtrlFZZL5QLaJ5zET3GaKg/Nrp8T7L/lMmnA6maR4XW63G5lMpi1Ynpkg6YR0Zf37+/uYm5vDl7/8Zfh8PszNzSGRSKgyCOgYhoEHDx7AMFoeM263u83biOhGyN0skSIlMyVvF/ecow182XdJV16u/CyVY6lUUpupnRS3xWKB3+9X+wa8PD5efNNaJj6WHyXIzdJjcUG2pmmHtOvHnQBSUPD3eRnr6+sYHBxErVbDwcEBuru78c1vfhM3b95EIBDAyy+/DAC4e/cuFhcXldCUykIOFAkCs1UHb0e1WkWhUIDT6UQkEkE4HFYKJpfLqU0fEsoUEI2jZApbevfuXWQyGXg8Hnzyk5/ExYsXMTk5iVwuh3K5jGAwCK/XC6/Xi+7uboyPj2N0dBTRaBQ2m00hI13XEY/HEY/Hce/ePdy5cweJRAJbW1tIJBKwWFo+7NVqFRZLK0Qp+eBHIhEsLy8fKcyo79lsFu+//z4SiQTK5fKhSSwRI0deElWboTT+X6I8iX7MyufCmQtOaTLh5R0VrtXMfNDpO9Ggk4nRrI2yvZ0O8B1FL6/Xq0xvPL9UrnJczfrL25jL5fDOO+9gcXERFy9exPDwcNvvJJCLxaLiRW7i4IKUDjh12qwn9Ez9k+03DEOZLSWAkIqfBK1Z4nk1rbWZSo4Ksl6eAoGA6QpL5uNeUZLvj0L9/2aQeyfmkYTlqMts0tFn/ls6nYbdbofL5cLDhw8xOTmJ69evY3d3F6+99hrW1tZw8eJFPPPMM9jZ2cHt27dRKpUwPDyMSCTSdoCK/vP6Om3gcuFOqJ0uJnC5XPB6vSiVSlhZWUGlUkFXVxeazSYODg6UPdIwDOWFQGhB13Vcu3YNzz//PFKpFPx+PwzDwOzsLA4ODtS+AilNr9eLfD6v0L2u69jf31cnECkoWzgcBgCsra1haWkJmtY6gJVIJNR7FGHP7/erpbX01pACIhqN4vnnn8f+/r46XMWT2RibTRiJyM1c6cx4ykzZ0+9yAkkeo/GkZ9QO8pgxm2B8wvNyeT94+6jvHL3xkBucn7hbopkXS6f5Qe+Tia1Wq6nNSPqN9m0I2Mgx5X2RSoTbuB8+fIixsTEkEgkMDAzAMAx1yQe9Syc8/X6/4msy0RB9pemBt8NisSh3XymgeT55+xJvK9GTr8KkcjCjb7lcbvNC423jm/RdXV1tfehk6pGp0zPZtn8zwl1GkQMOowP63ew7T5xojUYD8XgcU1NTyGazCIfDCAaD+NSnPoWxsTG88sorWFhYwObmJj7xiU/gwoUL+OxnP4sf/ehHuHPnDkZHRzEyMqJQM9VptjFiRnBioHA4rAJlUYx6uqLL4/GgVCphc3MT9XodTqcTbrdbKRY6EDIyMoJkMqkOT6TTady+fVv5wjscDnR1dSGdTgNoedQ0Gg3kcjkEg0H4fD643W4cHBwgnU4jGAzC4XCogyB0MceDBw+QyWQUk9KhK9oX6OrqgsfjUV4WJIjMhAkAXLt2TSG0WCzWFm6Y01JGb+zkCcKVAOWXE5LaTZ9JWMj4RGZo1WwzkrcPaCF3jt6o/2arAt5+qbS4oOYhoWnFxvtnxm+d0DkX8pIvLRaLut6Ov3/ixAn4/X4sLi4im822ldsJSJl9t1hah+OKxSKeeuopxZtLS0ttddbrdWSzWfh8PsUfbrcbhtG6po/4hG9+c0HMbz/idXNBSPtRZjTvJGvMHAT4s0Kh0BY9Va74KER3IBA4VK/Z+Mk2dZJ1XKibgRmZHgvhbtYx/r3ThOSJBhxoF7KJRAI9PT0AWgh+YGAAb775JqanpzE+Po5vfOMb+MEPfoCrV6/iBz/4Aba2tvDss8/ic5/7HG7fvo3bt28jm83i9OnTKrY0tUNGG5RENwwDmmGB3xGEw+6A3W5XJ0LJRlmpVDA0NKTa7Ha74Xa71eYomW0uXbqEcDiMt99+G6lUCrVaDXt7e8jlckgmk0gkEhgfH4fX61Umg2q1ilQqhZGREfT39ys7e6FQQDqdRjKZVPSlyVQoFNTlB7TR63a71YoinU6rYE1DQ0OHXOc4IqE/2rDr6elBsVhUm9Y0lvJd6Zv9UYwsPUY4X5lNECkMzDZduU3UbOneaVUgkZXZhDUT7Nzcwt81U5gyyJ7ZioTn58qnUCgod1tOo1gshrGxMRiGgUuXLuH69evIZDJt5fA2yzGS9LFarUgkEpibm0MwGMSpU6fgdrsxPz/fVh6FwSBBWCqVDp2hkMKO6EWBx2R/qZ0Wi6XNu0zyguQhM5nCx88wDHVBB6cfL4/klN1uV/Z+qSxoLPjqUM4bPnZUD1+pdjIh8fTYCHd+1JgjDz4oR2lBeWrQMAzFOJOTk9jY2EBvby/m5+fxyiuvYGZmBk8//TTGxsbwpS99CdPT0/jud7+Lu3fvYnNzE8899xzOnj2Lvr4+XLlyBeFwGOPj422T5ZAgZ+3WdR1Ww4ZQpQfPTnwKVhuQrO8iGAwqhNJsNrG7u6vs2HSwiBjd5/Oh2WwiFAohFovB7/fjySefxDvvvKMQ/crKCtbX13HixAkcHBzAMAx4vV709vYq5BONRttMC++//z4KhYJqt2G0TsoS3Qjler1eBINB2O12RctSqYS1tTXs7+/j/Pnz6O/vbxtLOUGsViump6dRqVSQyWSUYJfLTOCwvdXM91u+12kFR4JG8owZ75kpGMlfvAyO2jjo4GYbubrgdUm0yCctpU7eMGSmkasEno+DDi4gisUi4vF4W5sNw0Bvby/GxsbgdDphtVpRKBQwPT2Nra0tbG5utrWJB/qijfdOitVisai4R5ubm4jFYtjd3VVhhCk1m03kcjkEAgHY7XYUi0V0dXW12aJ5fhpXissk6Ubzj1yFiQZSRnC6c1oR70kzDcV4OipYGeUll2F6n/MG9UEqcs4TZvz8cdA6T4+FcAceeYQAh68h40zMB0V2Vk7GZDKJnp4eNJtN1Ot1dHV14cKFCxgdHcVbb72Fv/qrv8KpU6fw5JNPYnR0FL/zO7+D119/HVevXsX3vvc93Lx5E7/6q78Kh8OBjY0NjI+Pt/lmc0YyDAM7Ozttp/yClggMtw2wGhh1TuPm+zeQa2Rgdzy6PCAYDCo/cgovQCFCA4EA0uk0YrGYOj1KNsRSqaROkTYaDdy9exexWAx9fX3Y29vD3t4eBgYG0NfXp8xBlUoFDx48QDKZbGM86X9Lzx0OBxqNhjpC7Xa7UavVUC6XsbOzg4WFBdOATXJCjI6OqnGlmPpmzGom4DopADOPEc4jtDSmPlEeet8sFpFEp/Izfae6ZbRMs3dl/2RbOULnz6Qtl/ieh3ngdZghP14nbZ7zAHsEBEZGRtTGIx0083g86O/vV6s/XdeV+YT2X/gckAqRtyGXy2FpaQnpdBrRaBQzMzN466232vI0Gg11GM/lch26xIX3lfpTrVbbziDIVZXT6VQeN5yevDwp4CVS57+RKUie7jVbufn9frVnxunE85kpROlSTMpTgg0z/ss/u24AACAASURBVJLpsRHuZvE65P9cLoeDgwMEg0EVaa3Tppqut06R9fX1YX19Hf39/XjjjTdw+/ZtuN1uhEIhDA0N4e7du1hYWMD09DQuX76Mz33uczh9+jT+7M/+DBcvXsT6+jr29vbQ1dWFWq2mbOacmQDg6tWrGBgYQDTaA+DDDVSLHX74cPrkGXQPhfG/T/0n3L/7ALcevoetzDrCPSFYbS0kRKfxYrGYCthFV5s5nU40m01UKhXs7e2pSJC0EWWxtHyC6Tev14tisahc3YrFIiwWCw4ODlRfDMNQE5nMXrRBSEzYaDQQCARgtbbuoCRhn0ql4PP5kEwm25AdJc7QALC1tYX+/v5DE0B6ldBn6T0gJwEhYz4J+TuSj+gdibCorVIocvMCPZfCgQtNKVBlmRKFyzbKDWniX+5BJvti1if6b+YGub29rYLRUXI6nYjFYqjVakilUm2eTLRRPjw8DJvNhlQqpTy6KMoi7f2QsJdmDN7mcrmM3t5ezM7O4m/+5m/Q09ODVCrV5oZJAevC4TAKhYICM9w0xulIN0B1EpQ8dAanhVkbpSCXCp+EO53klkidxox4gkeClPNBCnjeNtlOPsb/3PTYCHeznX85ST744AMkEgkMDw+rqIh8kvFyMpkMAoEA6vU6isUiYrEY5ufnVSAtEkrEnDdu3MDi4iJOnjyJp59+Gr/+678Oh8OB119/HSdPnsTa2hp++MMf4vOf//yhSZfL5dDdHcX01AXUnFX4XFa48MjM5NQ9aGgVWCMaRvx9eBD34AsTL8PutGGvEsdeoXX5sM/nazux5/P5FIKp1WqoVqu4d+8eMpmMYmxOJ4uldSs9uZkVCgX09fVB13XlBUHIqFQqIRqNKhtnqVRS/vecjiTw0+k0LJbWoRdqVzKZRDweRzQaNUXZNCnv3LmD3d1dGIaB6enpNhOcGdLkTN7JI4T/8SW1GbqRqF3yDJ9s/D1OBzMUzjdVeX86ub/J8nnbJUCRSoVWPWY04MKdfuPfE4mEuiyGksViwcDAgPLnHx4ext7eHqamppDJZFTcFIuldYQ+Ho9jcXERQCvmi91uV7GNiHfkBq5Ewbdv38bm5iZKpRK++MUvIh6P4yc/+UlbKAQAajN3bm4OFy9eVAHHuJAn5G4Wz4YUDUWDpOdHIXSeJHDg71EMd14uf4/aRwDKTChLFM/HVM4FWY8EAEelx0K400QxWzpxwdXT0wOPx9NmR5MEoc/ZbFYx7MjICNwBP37zP/5HLD14gDfeeAN7e3uYmJjAyMgIgsEgqtUq9vf3sbKygr/4i7/AV7/6VfzoRz/C+Pi4Yn4Kkys3U9bX13FifAY5FGFvGEjX6gjbmkC11RbPVgaWm8vAk+PwTfYjoyVwN5tHwBHCgHcYE4PTSOT3sJZZwvLSClxup4rS5/V6Ua/XUa/XsbCwgPX1dXXkmuglo91x4UqhhelUnd/vx8DAAILBoIqzTd41kUhEKTtSMoTq/H4/gsGgGod8Pg+LxYJEItGG2uQ4AK0j2CdPnlSXM0j6ceHEvUTMhKEUatRPuWqTZg7eJm5K4O3lgl/ylRSeAJTXE39OE7yTTVwqK4ke+XOzPadOqxozgaFpGjKZTJvnC6XBwUGEw2FUKhWUy2XlbLCxsaHcZmnPpVwuIxKJYHR0VDkBkIeVw+FQwpfiI0kvFhoPXW+54FqtVrVv88wzz+D69euHwgjQ/tG1a9dw8eJFxXu8H2Z3p/Lfye1Wjr+khYwjzz/LflQqlUPKiCfalwgGg23PaOw4WJB1UZKgtpOSMKufp8dCuPMkB4ATOJ1OK1OFmWalfPl8Xh2nz+Vy8I8N45uNA4S6g/h3ly/izJkzuH79Ot544w3E43HMzs7iqaeewrPPPqs2gVZWVlAul1EsFhXqefLJJ9vaSfUnk0k8+aQHC1vL2FyO48wLk1ja3cfq3TWkFjdweb2KDxo5fPrKAHp/7z+gr68P+XweB9U0nCE7LJ4GPE4vLnc9h2atiURpB3nXAVKplNpcXV5exp07d1Aul+Hz+RTzNJtNFcqXTpzSxAwEAmpSuN1udHd3o1arYWBgAF6vFy6XC81mE1tbW8oDJxQKqcMhRPNQKASbzYZisdgWKIwQPG2aSdsrfXa5XFhcXEQgEFCxaDjC4kKPo1WpSDvxi9x4kyiYT3Azwc7zENAg4SoP1/D6eAwjsz+zdneapHLSU16+gcrpJr1reHtI2RcKBSQSiUObfz09PRgcHFRl2mw25Rmzs7ODRqOhYhDRJTJ2ux1erxdOpxOlUkmF0eD34DqdTng8nkNmGpmazSauXLmiokRevHgRV65cOUS7bDaLRqOBt956C08//TSi0agqg6NnTkcuqMlBgX7rhIzNeEwKWE1r2b+56y+vk4Q60HJB5pEo+cY+BzF8vKWSN0P1nX7rlB4b4c4JLyclCWyfz6d81s2Yht7f29tDb28vstksQqEQ3rJUMf83r8L34jPIRrrxi0UdFy5exPnz5zE3N4cf//jHuHHjBmZmZnDy5EmMjY1hbW0Nv/zLvwyLxYJqtapOi/IB0rRHFwNnMklc//FbuPjiBbzzyo9RLdThjngx+++eRSCnY2BhBZab+yh/6zXM9gVwvVaDpbcVF72JJg70FFLNfTgsDvi9IfQhBluXDflaGg+W7uHda++iVCqhq6tLmW/I9kebsoTQSLATjex2O4aGhpQLVzweRyQSQX9/f9umE8WVIQFObl98qalpLf9kii5JQc/k5OETw2KxYH19HYFAQMWOp0nB91o4GuXPJJ9wBEdeDVzQmQlWEmTSZGI22anNEsGRCYOPf6elM38m85mtDuShHbmSkAJITnaeH2jdFLSzs9MmiADA5/MpxE4nROv1Orq7u9UGfV9fH+x2O/b399V41+t1+P1++Hw+9PX1qf2XWq2GXC6nAAGFquD2fTO+0HUd77zzDp555hnkcjk888wzuHbtmtrXov7QjVDvvfcezp07h1gspuYkjb2kG423vPGL/2YmPHkbzYQpnUyVt1rJ/IFAQEVjNSuXAwTJe2btkUkGWOuUHhvhbrZhQskwWq56pVJJCW15ow+f7BQPZX19HcPDw3CubMJ5ZhrbyX0kFpcx39eDMT2MC+4gzn7iacyen8XctTm8+uqriEajKBaLmJychNfrhWEY6gBTtVrF9vY2QqGQOlq8ubmJyclJ3L9/H9CbSK8l0SzqqJWrGHIN4t7bd+H0OhEc8mP54hicuh2nmgGc+O4m+kse7AXTeGjbgSXsR1NvuYQ5HA406010+3pgLTgR0QdwYegZ7Nd2ka9lYbM/8gEmc1YwGFSbVDRpXS6XUkr7+/swjNZmGPn9Z7NZOBwOpNNpdYs8bd6Sn7Ku6+p0L9nmCZkcHBwo+ktGo/FoNptwu90qDDGNNUfl8h2zjVYzIUwC18y7itoky5TlyrK5gJS/ybaaKTSZx2zzlD7zuqRbHP9vZnbrpFR0vRW/JR6Po1KptNXhcDgwMTGBWCyG1dVV9R5FhCyXy+qmLTo9HQ6H0dvbi93dXVgsrQNsdrsd0WgUyWRSKUx5qEceSON9ps82mw3Xrl3D5OQkNE3DCy+8gJs3b6pVBLWbBPyNGzeg663LX3iwOg4QuAIn8y0pRy5Y+bjI8SflLumezWZVoDI+9vI7nfSWSa4i5NhJnuC/HyXsO6XHRribTU7gUad7e3tRKBRw9+5dDA4OHiICZwQ6jg+07G5fGJ3C804b4vE43r/5JhZeexvLAS8WTgzBMzOF02PjuPi5F/C/jA4hFgjhp2+8idOnT7eZDgzDQC6Xw8bGBlZWVjAzM4Ph4WEkEgnMzs7iypUr2N3dVbGsv/KVryAQCGA6l8M//MM/4OG9RdgddnTHejDyv/4qqn3PY78ADGyVMbqyi73tFLa67ChYG4jv72MvkUA2m0XAH8Do8Bj6fDE8E/4kDN3AWmYZyUrrAmMSyGQioWiPFHuGmJ8Qx9ramjokQugnm81C13WEw2GVb2trS9nV6RTtwcEB/H6/Ms/Y7XZ1JRsXUnLZarPZ2sIVdzK1EAN3UvRmJheen+qX+Xi5nfjGDDHLZ3LTnmhrhsw5/3L7O3+fl202cSUq5884vaSw2NnZUecY6JnVasXg4CA+/elPQ9M0jI2N4d1338X+/j5sNhvK5TIGBgbQ39+vnA7Onj2LUqmEXC6HgYEBFaiOrnR0u90qBjxtbHLzEaFXuXHN26XrrRPR5G784osv4p/+6Z+U5w71i0w0d+/ebVMmnC8kn3g8nkM0lQq50+8ceNCzfD6v9lgkr3IeIeEuhbXkK+ILedOXFPiynx+F2Ck9lsLdDAktLy9jaWlJIRn5LrcRRyIRdVz+6tWrqFarCAaDGBwcxFe/8hVks1ncunUL712/jt0rt3DD78G7J8cw/YXPwGNpYvCTl5B32BBotgbr4OAA9+7dU0GQQqGQGkgyZVCgLdLs77zzDlwul/JM0XUd9VodG4traKZqWLu9hOc+/TxKU0Dh2RF44wWcfX8DXe++j3sHu8hpRVS8dgyPDKNpNLCRXcFeZRtOzY3h4BgmIlMoRgvYrWxjL7+DXL6Fwj0eD/b395W5paenR/kNX7lyBX6/X9m9Cf3QMpjC/G5ubrbF3KDlusfjQaFQQDgcxv7+PiKRiHrG0TLfQAKgjp/TMym0+HibTSr5nT+XNnv+m7RrUtlkDuJojiM2mnRkhqEyuAsstZlWSbzffKLLyyh4X3jbOm0iSycDLhio/5yGe3t7yGQybaYjGoNnn30W4+Pj2Nvbw9raGl566SW8+uqr6tYui6V1anpkZERFEPX7/RgZGUE6nYbP51N7O06nE5VKBSdOnMDKyoraRCX68rhIQPvNT7yPZGK4c+cOJicnEQwGcfnyZayuriqPNhonioUzPz+PQCCg7hfgNKIxojjuZqY4M57g/NPJOYB7ykgBzf9IPvD3zZQy+bBTHjPFQzxJ7ZTjfVR6LIS77JSZZp2YmEC1WsXu7q4KeCUnJgAkk0nEYjHE43H4fD68+uqrCIVCymwBtG4jv3DhAqamplSgsHvv3MaXzz+HuZUl+F56Dm/6XdAADJXqGHHZcdr+BFYfLinzTCAQUJsr+XwehUJBufgZhoH5+XkYhqFuUOI+xPuJBOwWG3K7rVjtdaMJbcCHUmwauyMWGD+9i2eXUwg17cjtN7ATcULrCsHr96PZbGK/FsdufhMRdzcGPEMY8ZzAvn8XWaSxtr2iUFosFoNhtDZ8p6amcOHCBcTjceUnTwKaQv4SQicBQB4MhmEoP2i67DqTyaBaraJWqymExm3mfCLfvHkT09PT0HUdXq9XMStNoqM236gMibqlW6MU+vx9LmypLMonESBvN5/89DvnT25e6qSseHs5v3LeBw7HpecrCH4FI2+TFALJZBI7OzuHVkaRSARnzpzB+fPnkc1mkcvlUK/XcfPmTQSDQTSbTQwMDOC5555TaPzGjRt48sknUavVVMiJWCymeL5araKrqwuFQgG9vb3qBDK/NJrGlQ7pkX1fIlNSnA8fPsTg4CCuXr2Kl19+GTs7O21RK4HWvhDVQaYjutGMxtZisai9o05InQtnSU/JY8Qn5XL5UMgROY5Op1NZDjqtTPl3LtylQ4J8RyL/j0qPhXAHDndCIhZN0xRjcD/znZ0dFcERaJlhaMDoNNlnP/tZFduCynzllVdU0K1PfvKTOH/+PIx6A72GBRdzdRiFBnI2C9bcVlztcqMZdaOrL4jA0iY8+dbN5/V6HZFIBFtbW22TMRAI4Dd+4zfgcrlQqVTwp3/6p20CgQ5VpdNpOBwOuFwubD/YwOraGu4vPcDUuWlYPv8kqrkmelYPcGItjWqqiOygHdleHz7Y2cHo2BiWlhfRqN9D0BfCaNc4xvQp9MUGkUMGG5k1zM3NodlsYmJiQjEqhS2w2+3KI4KiBNJF206nE2NjYyoGDV3cnc/nUa1WEQqF4Ha7kUgkoGkaenp6lHlCCi8y62xtbUHXdUxOTpqiHT7J6T0ad84jHM0CjzYiJd8Ah086S5MR5zt6lwsIQn4kXImG3BZrt9sV2KA2mCkaibj5c7NlO39GeyBmqxTKYxZaQNNam+tDQ0N44YUXUCqVEI/HUS6XEQgEEA6HUavVlINCtVrF5uYm0uk0UqkUIpEILl++jO985zvI5/PI5/M4ffq0WkETyEkkEuqU6/7+fpuwrNfryuWWwhvQKW6eiLZ3797FL/7iL+LevXttoal5X6vVKpLJpFoR0j4Q5w/aazLjA0lnuerjc5lWFqVSa87TuQ/Oa5xvKISCmQDmK0Up3+RKjPOmGcDoBIZ4emyEO/CIuCsrK9jf31cCmTrh8/mwsbGhjuDruo5IJAKHw4G//du/hcfjwalTpxSKHhoaQigUwre//W2cOnUKZ86cwejoKCKRCH7t134NX/ziF/GDH/wAf//3f4+vf/3rmJ+fx+nTp5FKpeB2u+FzOnGubsOZbBUFq4Y1pwVXwk64xnsw4/LDtbSBnsEY7t++02YmKBVLeOWb/wiH1Ymyp6DQDg0gefwkEgnYbDYsLCxgYWEBW1tb8Pv92HmwhXqqgu5YD9zPj6P4C6dg2yti6EEKE4tJDDe82NsvIuILoGbo0Cwa3l+/AYfdgf6uGMKWKH5h6guoTJWRbibg6XLDgI5cLqfaSfZ6iqXd29urbmCy2WxwuVw4ODiAw+FQ4YGBlm9xIpFQJ1YpkiRXzFw46XrrCrbJyUnlMimXoBxp0v6AWfjVo/zf+XNaDXBXRVmvFL5mKw6eeDkc7Zn5m/M/qTx4O6WQof7xzUnZb2kW0rTWWYTV1VW1OqQ/j8eDoaEhfPazn4WmaerqOwDo6+vD2toaUqkUPvWpTyGVSqHZbGJqago/+clPcOvWLdy+fRsPHjzAzMwMtre3lRAfGxvDzs6OWv2RaW5sbAwWiwWrq6vKFZnoTJubtHIjl2ZOZ4vFgkwmg+9+97tqU9ZM4WmapgBDf38/PB4PyuWy8uACHoE8zo9mAleidf6fj7k8vNRpldjV1aXGTrZbrmzN6qH8ZvzFk4y9ZJYeC+HOJx0hRIulFZbU4/Eou2U6ncbIyIhCFUALOfl8PnzhC1/A/v4+lpeXUSgUMDIyApfLhd/93d/FX/7lXypmDQaDKgJeNBpFMBhUN6vkcjmEw2FUq1VsbGwoRTI7Owu/w4HRdBbbb1+HvTsCz9PncafLA1vXINYLCTRTg7Am0tCqNTizHhR2S5g+MYzY8Dn8Y+aVtgEqlUoIBoOYn59HPB7HjRs30Gg0MDw8jJ6eHvT39ytUVd7Owd/nhqUvhNJEN/LFMdQX4hi4u4XRTB07jibu2yoIdweRyWZx9fpbGBkZQcaagMfwYaJ7CiFLGJvpNdh0Owr11rFuWkLruo7+/n61SVatVnFwcIBIJKJOIVosrQh8iURChTulEAmEmAAcQlg0rvV6Xfm503hKk0InfqAkvU64oJV18mQm/IF2WzlHQ3J5zN8n0xNfrstltFns/04KyMyMw81E3NzDER9/pus6NjY2UCgUDgnCiYkJvPTSS4hGo+ouXrrMhVaMhUIBf/3Xf41Lly5hdHQUm5ub2NnZQW9vL9xuN3Z3d9FsNtHf34/Z2VksLS1hcnISw8PDSKVS8Hg8beEo+vr6oGkaNjY2VHtrtRpcLpc69UpeaAQYOq1qpKKVK0LyXovFYm0Cnurg/CiRrpldXdKW81Q2m1VARo4vj2NEcomPL/fOkasIXr/ZSpbzjARQH5UeC+FOHdF1XcU4yefz6O7uVnkSiYSK70JuiMCjS683NzeRSqUwOjoKr9erDlMEg0H81m/9Fu7cuYM333wTq6uryGQyuHv3Lmw2G5rNpjoS7/f71QEWMgERAgFaqPXcE09A13X4UwUU79/HqfOz+G/zD1A6O4lcwA97+gDumwU8f/JJNBZLWP7hBlyGFzVXHXVbDTpaG5lOpxOJRALxeBzDw8OwWCzK7WxychKhUAjb29uoVqto1OqwG4BR1lEoFlAf9KI8cQpGvobsm3cxG6+jsZPBe4Ud2Kw1OB0ONPQ60o197K5vw+vwIWiJYMp3BiV7CdcT15BOZgCLoVwV6Si52+2Gx+OBy+VSDEQRLMkbhxiWTjcSQ/PxpESTuFgsqnAInGkl4/JlMplFOvEMd7kzEwC8DXzymJkEuFsdn1xceZBgp6U55eHhb6XnAy/DTGF1srMe1Rf+zubmZttBJd6uarWKgYGBtlhEPp8PHo8H6XQabrcbAwMDuHv3roqrPjMzg+7ubvT392Nvbw+GYWBxcVH1ub+/H7dv38YLL7ygzHgejwcbGxsIBoMoFovo7++Hy+XC0tKSugTeMAzlDkuusRS2wExRmq2e5PjTPN3a2kIsFkMkElH3ENCp2aP4QZYl3SX5mNBJb1kO8GiDXtM0RCKRNgV9lCCXbTAT3kfR4KME/GMj3IFHyCgUCqlIdDQBVlZWMD4+rvyv+/r61KQJhULIZrP4xCc+oYJnNZtN/PSnP0UsFkMwGMTY2BhOnDiB/f19PHz4EHt7e2qT6Nlnn8X777+v4qprWmsTKxgMIhKJKPdH8iOv1Wq4ePEiGrUaPAag37qH4L1lNJ0ONGI92D43hr8bsqN/sBeF2AaaNyzoSvdC0zWUHUXkq1k0602k02kMDg6iv79fCYienh51BZ/f70e9XlcnT/WmjmqxFUYgvrODeHIH07MzyLwUhL6bw+z9frywdYDmngXL+RR23UDN2gq3mslkUC6VEXJFcGboHM7OPoVEbgf3d+ZRKZfh9/uRz+dVUKhkMqnCv+ZyuTaEwo9f041PclJyRg2FQshkModQDY27DEFLSpcuSDZDb9w0IgWmRLrSjGEmbDkPcve9TvwqUbL0YugkQDg65Pn4H1dAXNlxJAhAXYkoBVEsFkMul8Pi4iL+5E/+BC+99BIajQY8Hg96e3uxvr6uytnc3FRCMhaLob+/X63gtre31YYl0HJH3NraQrFYRDKZVHy7s7ODvr4+ZDIZ+P1+xRdTU1NYW1tDIBBALpdT9xTQvg+3qfOxlf2RqyD+jPgnHo+ruU42eEqyHD4OfDzNPK6oPbTvJJUrv8/A4XCo+SP5Q65UJbDhN2wRH0tzp3zX7N5Vnj5SuGua9icA/j2AhGEYZz58FgHwlwBGAawB+J8Nw8h8+Nv/CeDrAJoA/g/DMH74UXUAj8Kn0q1D3d3dbfdUdnd3480334TdbsdLL73UNiDFYlG571mtVuWL/Y//+I9qc4PiZEQiEXR1dWFsbAyBQEDFU9nf38fExAQ0TcPDhw/h8XjUpdqzs7MYHh7GnTt3YBiG8u2mSUAeI5ZKFc6VLVgW11Bzv4P96Ql0v/Qs7p/ph3GQg/fBNkKLNUQSvVh9ZQuBTBjOkAsetwdOl1PFnyZ0yJfO5G3QaDSwu7uLpYcPW4omXwEsGqafOAnbpyfR0KxoLO9jaH4Hg4v72K4XEC/tIWtUYNgsSDYTeGvxx7Bb7RjuGsPTJ56Dy+7G5sEaPti5h3gjDq/X22Z7p2BiPCwB0VQue4n5iRlpJRSJRDAzM9N2a5N0Q6OxBh65ztHvXMBJAW1mspECnt4FWsKAR/ekxK+2M5uAvA4uCCiAGBe+ZhEdeVl84ndSMIZhtJl5uNkol8vh4cOHql5qj91uRzweRzgcxokTJ/DBBx8gm83ic5/7nDp41Gg0MD4+jh/+8IewWFoHk7q7u3Hv3j2FvicnJ1WwN/KwyWazGBwcVGNNl2WcOHECmUwGNpsNuVwOFosFdrsdbrcbfX19yhxKIaPJe8xqtao7C+j0tBlil/Thz7mg29zcxMDAQNvF1Lw8uaLk/EJ07+TIUavV2lZHnOeIFynMrwQGZitFM54yW73JfGZ06ZQ+DnL/JoD/G8C32LPfA/C6YRj/VdO03/vw+3/WNO0UgK8AOA1gAMA/aZo2ZRjG0SoGjxie7kWUXg2Tk5PqijYS2DQJUqkUnn32Wdy/fx8DAwOo1+uIRqP4/d//fZTLZaytreHmzZtYW1vD8vKy2rCj+NW/+Zu/iUqlouK1nDhxAqurq9A0TTGd0+nEyZMnsb29je7ubtVOCrLEJ6rf58PIyAjmb81jqKojtLWJalcQpRMjyJ6fgJEvYmZiAIHGEJzbdWhVB7ReGzzjXlg1K4rFojqU1Gw2kclkVFhe8rlfXV2FzWZTS+BMPIXtpU1oNgssHitizw3DWutF7fYmPnXfAmuxim2bjoeOGrJWHZrVgq3cOrbvbyDoDmG06wSeH/80itUiHuzMI3mQQrlaUhcp04XbdFkBXZLNbZdceHEBlkql4PV6MTc3hzNnzrS5qElkKpOZ4AfabaZ8Usq8ctIcZVeVbaKJTUiaNmk5vxJ6k+/zMngdZuiThAUpPM77ZsKpXq9jc3NT2azpucfjwcTEBB4+fKj2VGKxGBKJBL73ve/hy1/+MorFIp5++mksLy/D7Xa3haWIRCIoFot48cUXcePGDeTzeXWJBoWhIGeF+fl5zMzMwGq1YnFxES+//DK6u7sxPz+PfD6PRqOBnp4e6LqOM2fOqCv2OB3Jo4U8tfL5fNu5AjN+MFPenC+2t7fR39+PDz74AGfPnlVnOszycsVKPGRWJ908Zpb4eNP+FG+b5C2zFZuZ0u+0f8VXiR+VPlK4G4bxU03TRsXjXwLwqQ8//z8A3gTwnz98/heGYVQBrGqatgTgEoB3jqqDd8Lv9+MTn/iE6gjtUCeTSWVPi0QiKpwnIWi6r3Fubg6jo6NIJpP4/ve/j9XVVbVB63K50N/fj8nJSUxPT6sQBprWOtoMoA2VPPXUU9je3laTLp/P4/79+3A6nRgZGUG5XFan+fhSOxAIKDv2yMhIa+m8nYAjvg/dZkU9FEB65gyWX56G1mhCqzoxuF5HaaGI6nwakRM6ksEUfF1eFb2R3L/W19exvLyscv5YNAAAIABJREFUbOKFQkF5thCi29/fx7s/fgeBcADTT81g4uvPoZGtoe/2FiZXU6iUK1j3ASuuGkpGA1WjgjvbN/BW5seI+ntxduhJXBx7BlvpDdxZvwXD2bqth9CZw+FAoVCAzWZDNBpFOp0+RAMaz0ajgRdeeKENNXNkytGuRMR0WEaGGJBLVY7i6bs0ffD/ZohcTjopyHmfJOIilN6prE6TVvrU8zK5kKAVKfVzY2NDnQzldbjdbrhcLkxMTGB7e1uZ006fPo0HDx7g29/+Nr72ta8hGo2qA0l0VSKdVO3t7YXFYsHi4qKKBup2u9HV1YWDg4O2yz7u3LmD2dlZxONx3LlzB08//TT8fj/m5uaUPZ08WE6cOIG1tTUVY50Cj3k8HrWSCofD6jkfK2l+k0JPmnXi8TisVitu3LiBJ554AuFwWNHSTEGTcjVbrWmapg77UbsorwQloVDoUFs4v0n+oN8kj5glns/MHGmW/qU2917DMHY+bOiOpmk9Hz6PAXiX5dv68JlZY38bwG8DULZVoBXq8+bNm+jp6cHZs2dVB2q1GhYWFhCNRlGr1eD3+xVxBwYGcP36dezs7ODkyZNwOp24desWbty40XbV3IkTJxCLxRAIBNBsNtWRZk3T2pSFprXCHVy7dg35fB49PT2w2Wyo1WoqumKlUlE+u9JdaXt7G5/5zGfwxS9+ETdv3kSlUoHL5cLw8DDq9TpWV1cxtbKL+oP7OPHMZaz7rXj/hTCsL1oRWM9gcLkCx/tllLQafMMe1HwV5Bs5rK+v49atW+jq6kJvby+AltLz+Xyo1WpIJpPKF90wDKQTKSy8cwfbDzYQHejB+IVJ2D97Bo31FEbf38TpeBZZaxMP3XWsW3UcaAY2U+vYTG3A6/Jism8aX7z8P8Fhd2Art477pXkUqwU4nU5omoYPPvhA7QdwlAo88iknmkq0wW2KZH7gwoomIPdj52VRGdLPXQp4ShyZSXRNE14eUKHyOXKn92XAM+ovN8dQe3k+nrgS4ujSTFHS77quqxg9UljQ9XXDw8Po7u5Go9FAsVjE6uoqBgYGkEgk8Od//ucIh8M4ffo0Ll++rLxjLl26hGAwiM3NTbz++uuw2WwIBAIIBAK4cOECbt26hdOnT+PWrVuqr263G3fv3kUoFEJvby/q9Tp6e3vxzDPP4MqVK9A0TXnUNBoNnDx5Evfu3cPBwQEajYZaOfNIixQQT64IpfCTHk0y0bV+t27dwpkzZ9RVkwDalKUMAkZ052NFserNxpR4h5C75ENKcjzlbzS2HOBwRcH5ma/wjkr/2huqZqrEtEeGYfwxgD8GAJ/PZwBQQnV0dLTtSDvQ8ss9e/YsHj58iLGxMSoD9XodP/rRjwAA4+PjCumePHkSsVgM5XIZiURCuUm+9957KqCSy+XC+Pg4PvnJTyokTHUmEglcvnwZ6+vrSkGEw2HY7XZkMhmMjIzAMAwV/c7j8WB6ehp37tyB1+vF66+/jgcPHmBhYUEpkr29PWWTK5fLsEJDd8PACc2D0k4Bu5USqmOD2DrjhmGxIrSdR/D9BApXk6iVyljeWkNPsBfeyKOYGV6vF0tLS9A0TYU5AFq213A4DJ/P1wrjm68gvZJAI11BPLWL4RfG0HD74NzM4Zn5Xcxu72G+VsX7+gHS1iZgNbBVWEdlswhL04ap3hl8/swvIVvK4MHuAjKVpIpBMzIyAho/jrik0jNDLtwzhmyx9NxsQnEzCH2XE5OXzScE/0x1ciTaCRHyerhXDBcA3GNGtpnx/CF0Jpfc8o8rL1pRSsTPlVsqlYLL5cLY2Bj6+vqU84CmaSr42x/+4R/iG9/4BmZnZ9HV1aUAzsbGBr773e9ie3tbhYvO5/O4desWXC4XZmdnsbW1he3tbQUootEoKpUKFhYWcO/ePdjtdjgcDuVtEwgEUKlUEA6H0Wg0MD09jbm5OWWaI/dCmpNESwkIJN0kmDAbfzLR3LlzB2fOnEFvb29bmRLBdxojidzlCpPaQ+dveLs4z5vxgzwLAZhfwnHUBn+n9C8V7nuapvV/iNr7ASQ+fL4FYIjlGwQQ/zgFErGazabyXZc76dvb221uR0Rkr9eLJ554ArlcDsViEdFoFBMTE6psXddRq9VQqVTaji8TgrBYLCr+MtXp8/nw9ttvI5fLoa+vDy6XCzs7OyoMLu1uVyoVFWmPri1LJpOo1WrY2NjA6dOncePGDQSDQczOzqJSqSCVSinkH41G1XLOsbeH1L0VnB4YQM3rwnbIiQ9eGsD6E3Yk37qDoNGPWMYBS7wBPdxA1ppBNptTbp+c8ahsTdPQ39+PcrkMj8eDgC+A7kg3goEQNrc3UQxbUfvyKWiFSfS++xD//u4GjEoFuw47dnxW5Os1VKp5vL/9Ht5beRuxyBCeGruAkDeCjeQK5jdvo6yXDplZpKDnApibKDhq9Xq9bXZk8hSipT3PywUrL5MjLzNUR+Ye+kz8ISefme1b3v0qBbM0N/E6j1py8zy8XXLTjvZ5KA+nL8+3vb2tUPTo6Cjsdju2trbQ1dUFt9uNer2OP/qjP8LXvvY1vPDCCwBaG9h37txRtne73Y5CoYALFy7A5XKhq6sL3/nOdxQCj8db05rceummLqfTqe42paiSTqdTxSTStFb0x4WFBayurrZtRPO+8FvU+DhJgS49a3gZmqYhHo+jr68P8/PzaDQaKiQH8MhLS9KdxpbqpD0Js3EiPqNYTlIZSdu5rMsM6HxU/yRI6ZT+pcL9FQD/G4D/+uH/f2DP/19N0/4bWhuqkwDmPqowOan6+/sPCQtCXtxjA4Bays3NzcHr9WJsbExpZEIdCwsL6pQleTL4/X6cO3cO586dQyLR0k2ExgjlNJtNBAIBJJNJAFD+3zzcMC1P9/b2EI1GMTQ0hHw+j7GxMbhcLnR3d+P27dtqIAgp8mUoIbTu7u6WrTKfh7vRwEzDC8/mBu7/w9+jEPSg8YvnkA2HEU7V4L++A/c9C/oLDujhOvaaO7BarPAH/OpIfDQaVXFfJicnEY1G0d3dDYvFgo2NDcQ3t1V45KpeB7o0jP3Wc/CUNJxeTOGZjQNkq2U8cFSwZW/gQNeRKO7ixw9+gJ6uXox2jePSyPPwetzotkWR1TNoGHUYYrHWbDaV941E2fwzt68Dj246ouBQZhMMOHxKlPiCfpN2bvpsduKVfichyhETF0ISOZPnlBlvmykYKpsEALepy3dI0XEFbkY/4iOr1arCOI+OjsLtdqtooYVCASdOnIBhGPjv//2/o1ar4Rd+4Reg660AeX19fWovZXt7G5ubm/jCF76ARCKBWq2G06dPq3bncjl13SMpP5vNpsarWq22nXqmSKUWiwVTU1PIZrNqbtGhMlIQ/BQ6rebkuMqVoAQQlG9vbw+NRgP37t1DvV7H6Oho2ya8dDvkJp9qtaoO7Jmt5KieSCSiTHI8nzwlLfshARGVLZ/JvLIes/RxXCH/HK3N025N07YA/F9oCfW/0jTt6wA2APzKh5UvaJr2VwDuAWgA+E/Gx/CUoYZrWsu0cOXKFUQiEXXzETE9bfbIW042NjZw9uxZjI+PqyPuy8vL+Na3voV0Oq2iMzocDjWhC4UC/u7v/g5Wq1UF16dBzmazyhxDbokrKytqeZlKpZTPPSGdWq2GfD6vruGKxWJwOBy4d++estW/++67rVOnHx7qkEs9TdNwcHCg7L/r6+u4cuUK9pZWMDQ0BM8b1+EIh5DwOpB8agCV56PwJ6vof1DA6P1ulBtpaJqO3dIOzj11ToUUsNlsmJqaUq5oxWIRmUwG0WgUzWYTyWQSq8vLrXYUDHQPdKP4RBj6Z2bg3C3i0vtbeHozieWShhWfjpzbhmzxALfy12EYgFvz4Nem/wMm7DMo60UkGwkUmzk1Rqurq+oGKB6GVXqu0JKem2ZIGfL88n3iA85HEmHJ9/gEljzIx4ae028SWFDd1BazzWJuOunE97xdEskahtGGHqUpRibKl0wmYbPZ4PP58PLLL+P73/8+yuUyFhcXMTAwgGKxiG9961s4ODjAr/zKr2B4eBjNZhOnT59WYXzj8Ti2trYQDAZx8eJFTE9P4/XXX8fS0pI6kEaXt9tsNhVsrlwuK1MbhRSu1WqIx+PQNA0+nw8vvfQS5ubmVIAwWjGTr3qj0VAHpSjaKqeLRPKUuPIkOtG5mfv377fF0+FjYDa2dHqdr9zM/OEpEiSheSmIebskT0le6NQvXs5Rq0BKH8db5qsdfvp0h/z/BcB/+ciaWeLLG4/Hg4GBgUNLWboZ3WazIZ/Pq8MSTqcTX/rSl7C9vY0rV64gFoshHA7jtddew7PPPouZmRm1488vZm40Gnj11VexsrKC2dnZNle05eVlrK6uYnR0FFarFbFYTEW0q9VqivGsVqu6koyQ3sTEBJaWlrC6uqp8hcm3d3R0FJlMBh988IGqj+KnE0NQcLP9/X3cvXsXDx8+xPT09KPLfps67B+sontpA5lyCb6zM9h8og/V56fgSdcxslLD2aVxuDf+P+re7Eey+8rv/NzY9yUjMjIzct+XyqyVRVaRKnGRKQ5lsTlyq7vVGBjT8zTwAsOA/wALfjAa6Id+8IPtgQ20bYwxalndgBpiU02qW+JOVrHWrNz3JfZ9327ceUj+frx5K4qyB/NQ/gGFzIq8cSPu73d+53fO95zzPZAvFpm8OoHJrkhrrtFoEIvFODg4YHJykmQyydraGg6Hg+9///uMjIyc4ar7pyilLv6BAO2/v4DS6hJ6HGPw3hGmbI0DS4vqZJhct8lJLEasc0hSPcVr8hGxRLFaJyh2smTaSaLRYer1moQ6BGxkDAhZLBacTqfEX8X86jMcjNCO/jV9wFSv+PV/179PrMFXcvuE6ys2s1GJ93LjjTDR0za3ceMbPQGxufXvEZaj/lm+SWmIn2KvwFlCgmBwzGQyZLNZLl68yIMHD/jZz35GtVrld3/3d9nd3SWfz+N2u+l0Oly7dg2fz0csFqNUKvHgwQPW19fp7++n3W7LZAGv1ysL70THNKfTSbFYxO12k8/nCQQCEqMXB/n169c5ODhgbW1N5r4L+Ek0hQ8Gg1QqFZm8YJy3XvNgVI4mk0nSFR8eHtLtdllYWHgiWG+0oPVeg95o0F+jKGfBVOPaGJW3/vv2Wsdez2T0zox//6bxTFSowtdFGoCMnovNDWeTEQqFODw8ZH5+Xr6n2Wxy//59CoUCoVBIuv6qqrK/v0+tVpP0n/B1k9tyucz29jYrKyuSvVFRztLaXnjhBQltCI7zra0tPB4PuVyOV1555RzEcPv2bV544QXa7bZkTZyYmCCXy/HGG2/wX/7LfyEWi9FsNmUVrKjCFK62cIuFlbaxscEXX3zB9PQ0wWAQm81GqVQCzuCharWKWqniPIyhbO6hOOz0X1mh+MIgxd+ZJVC34rmToLyl4lY0djJ7xOonhIfD1Ot1hoaGKJfLMv//5s2btFotWYHY399/tqH26+z97T4en4fxhUk8P7qMs6kwv1fEt5ulXO3yRcuBrdWlbVMpqDkKag6rYiNgCjNpn6fQzPMwc4+aqYJr1CXX0zgU5axtnyC4EjCDyMjRK2WjcjcqTvG6UOBGmAbOl40bla4RAjLCSca/iaIo8RlCPsVPvVUm5NCYEdILvhHEbvr76X83KiT9vUQAtVqtcvfuXex2O1euXCGXy3H//n02NzdptVq4XC7+5m/+hnK5zB/90R9JSufFxUUJkYpOaL/5zW9wuVz4/X5OTk4k1YcoOoxEIhQKBUZGRojFYmxtbUkOIuEJu91uCRWNjY3J+d7c3JR7SMyTy+WSbR01TZMWvP5Z9Qejfn2MMTuz2Sz3kKilWVhYOJetp78vINNJe0GCAkoT3r9+nY3ro5eDp8mG8fP1rz/tIPim8Uwod+NpGA6HJV+GeF0U8IyOjspN0u12ZeDo8uXLHBwcSMH40Y9+xF/91V/x6aefnuvqok9/mpqa4rXXXiObzZ5r8gxfu5WtVkuSEzWbTW7evInX65VFHTabjWQyyQcffMCVK1coFAqEw2EePnwoYRpRNfuDH/yAv/u7v5MWerfb5fDwkGw2SyAQkJDJnTt3WF1dZXR0lKmpKZxOJ51Oh3A4LLN/RL9UkabV7/cz2TWjHGVpHWXwzkxSeHOKRNCHKd8h+DCH95EFdbWB4jSj+jts7Gywv7ePx+ORpeyipLzRaDAyMoLZbGZvbw8zJuLbJ7TXO4QGw0QXhmneGEOLl5j+20fMfBmj4TCTGfZSDbloKg0SnWOSnODzBri2dB275qJBjVQzRlkr97Q4hcIVne0VRZHdpoSs6K/vBdXo11EvY2KT6jfeNw2jda1XzMb3C9nqJdf6exldar1C0t9PyJ6+88/T3ttLwVutVoldCx4jVVVJJBIUi0UuX77MvXv3ACRH/yeffEK9Xuef/JN/wvDw8Dm4SDS1FjGmdDotFbXb7UZVVQYHByWpXLPZlNCm8HjL5TLz8/Pk83mcTif1el3ShYyPj9NsNmWQVU/GBUiaaqvVSq1Wk56YMSaiXxejAhQKvlqtyjmPx+O8+uqrMvaln1tAUpkYA9nCaDCbzeeCqcYDRi8zRlkVo1f8wHgQGI2D/57xTCh3+HojZLNZDg4OZPWawFxNpjOagWazydDQEJ1Oh3Q6zfDwMKqqcufOHaanpzk5OZH47g9/+EMODg7Y39/H6XRKoQgGg4yNjTE8PCyViLCaxeQJvvJIJILf72dsbIxWq8Xx8bHMfRfc50KAv/zySzRNY3R0lN/5nd+RGOSdO3eoVCr82Z/9GePj4xJ+sFqt7O/vs7W1xfPPP08gECAej3NyckIkEpGsfB6Ph8uXL6MoZ0RR1WpVwkTFYlGmrSmKQjgUolar4S3VmIwV8NUVSk4b+y+G2bsZpHicx/FFnOrfrVI4rjDunWRwIUJ0IkogEJBYq4C30uk0k5OTks/apCg0SjV2vtykXK3g9DsJPt9P39Iy9uMS/asJols5ykE72aiXqttKrpYm3U1ixozP0sewfZyIf5hcO02hmz23/jabDa/XKw9bPU+88TAwpqPpoRnjRtJfo1e6vdI1jcpBv7l6HUjGgK0RdnmasjFaeOJ5hLeib3yhP7SMn6u/T7fbldlFdrud/v5+lpaWePToEfv7+zx+/JipqSna7TZTU1Ps7e1xdHREf38/oVCI9fV1/uRP/oR/9s/+GUNDQ2iaRrlc5sMPPwTA7/dTKBRQVZXR0VHC4TDtdpvp6Wk0TZPUwyI7pb+/X/YOqFQqBAIBRkZG2N7elm0a2+32ubjQzs4O+Xweh8NBp9M51+gmEolQLBbJZrNPrEMv5dkLQtM0Te6hQCDAb37zG27duiUNCHGNqqpS5+iprfVBUlVVJY2xfn2Mayv+Zlx7vcLuBceIa41ptkZLvtd4ZpQ7nH3hUCgk6W6NlhN83UvR4/FQqVT467/+a6xWK8vLyxwdHTE1NSVxtffee494PM7v//7vMz09LS2Ier1OqVTi7t27rK+v893vfldawkJAarUatVqNVCqFz+ejWCySy+WYnJyUUXfRhFocCmKR9vf3+ZM/+RMURZFESeKg2tnZkW6qyD6Ynp6mXC7z2WefyYNtdnZWeiuJRIL9/X38fr8UdIFdW61WxsbGJNsenAmRwFq73TPqhOlkF3c6zV4xy1/GVum+OU6/+3WGDtv4D+vYD8GkWiiaiswuzeLz+VhbW0PTNKLRKHfv3pW0DSJA7PN4adVbfPn+F4z6otj8DmpvzmJpazi3soytJ9CaLWJ+M7863aSMisPl5Llrz9GudeizRpj3rNCc1lALYLfYaatnzR2EctdbQvrsBiEvYhixU/E+vfdnVKTGBiO9oB196mWvzae34vQcM/rr9N9LvGZ83Wj592po8TToSb/x/X6/bF7u8Xi4cOECPp+PpaUlWq0WrVaLvb09ZmdnsdlsBINBut0uqVSKiYkJTCYTe3t7/PEf/zH/4l/8C6LRKO+++64MwKdSKcxmM4FAAI/Hg9lsZmhoiGKxSK1Ww2KxsLu7y8DAAAMDA9LLzGQyOBwOTk5OCAQCpNNp2cEpFArR7Z5Vqw4ODkoFLzLc9AdwrVbDarUSDodlNau+Qth4iOvnzigvnU6HQqFAo9HgN7/5Da+++uq5e4m0Z8EI2SveIoxFvZLuBbWJvz/NQHiajPTyPp5mLBjHM6fcn7aZ1tfX0TRNZluYTCYWFxeJRqPcvn2bDz74QKbSuVwuycn+3e9+l3q9zgcffEAymSSdTpPJZKjX6zKHWjQzECe6wAcvXLhAPp9nYGCA+/fvywq08fFxeb3gudG7/YrydaGNiPbrhUOU1ZfLZWkRl0olTk5OMJvNzM/PUyqVaDabsvlIs9nk4OBAurzifvPz8zgcDhYXF0kmkxJOEml5tVpNsvAdHR3xwQcf0C0U8HzxiIFrl3E/d4mjb41zipvwToP+HR+NNYVkIM3u7h7f/s4tTk9PAdjY2JDUCoKeWOQha6pGI1ejkathspmpT3qprPRjKTTpW03xO0cRiq06u7SxdLrkmiUqrTKpTozt7C6T/TO8NPoamVqSHWWTXDZPu/O15Sr4bHpZREK56ul29cHQXpaRGAIHFoezuNaYUWNUFmLorxEHnzFzxyjjvTasXkELBkK9QjBix0bPRdM0STwnMrbq9bqMXwWDQS5dusSjR48YHBxkY2ODkZERFEVhdHSUbDbL4eEhkUiEvr4+0uk0/+pf/Stefvll9vf3GR8fl4aV3++XnqIg49vZ2cFkMrG2tkYwGMTv98tMNVFNXSqVSKVSzM7OSkUfDofldxeZNIJCASCRSABfp9OK+ItIM85ms+fmx3j46eXEOO8i/iYO5M3NTZaWluTcVqtVqtWqDAAblbWY976+vp4QUa+DuBdMZ5QD/XfuJTe9vMhe45lR7nphFfnlIqPCbDZLLhfRBEAMn8/HrVu35P+Pj4+5ffs2Fy9epFar8c4771CpVKRycDgcuN1uxsbGGB0dlUVT3e4ZL8unn37KzZs3uXLlCu+//74kKrt58yaVSkXybQhLXOTtimdQVZXh4WEuXLjA+Pg4Xq+Xf/tv/+25zBDRyHpra4vJyUlU9Yz+12w2Mz09jcViYXR0VHKsa5p2LgNBHH4CWlpeXpa9TwU3t6jOFbw6+Xyezz//XFpCE+PjFHb2GXV6iOyeovi91MeGyH9rlljdhPr5Mf0skf+yQbqQY393X/ZfHRsbk4EmIxbe7XbptlTqqQq1VBmz3ULtWgTLC0P4Ug1efBjDfi9FHw3SUQ91i8pJ5oDVx2tYhyHiGuRy9DrzgWU242scZHaptatPYLC/zUXVV4z2wlL1lrr4qVfU37R59J+nz003ZvT0+m69rHc9HKPPjBHXG2En/eviHg6HA7/ff650P5fLkU6nCYVCEntvNBqcnp6iKIpsyuFwOPjWt77Fzs4O8Xgcj8fDxMQEh4eH/PznP2dlZUWS5AWDQXnAj42N4Xa72dzcxOPx8ODBAxYXF5mfn6dYLMoiOpEsIPqx7u3tSc6XZDJJPB6nWq0SiURky0qPx8Ps7CxwpuBFFW25XJZ9X51Op6yE1ac96tfJeDAas6PE3FqtVjY3N5mbm8NqtWIymaThZYRTjFXD3q96GxuHOKB7KXmjojYaLMZresnO/xSWu/5L12o1qUD1D/Hxxx+TSqW4deuWpCfd3t5menqakZERPB4PiqLIRtqiK4vb7WZhYYGJiQlGRkZkYY9Irep2uzidTiKRCKlUiosXL8qK0RdffJF4PC5P1LW1NXK5HIVCgbfeegubzUYgEJCMjUJ4EokEV69eJRqN8sEHH0iISSgCj8cjizo+++yzc806hKvrcDjodruy4UK73eb69euUSiUcDoe0WCwWC6FQiGKxiMvlIhQKScxVdMDJZDKsrq7Kg0y41YLyuFQqMekLoGYr+NcOOMxl2LepqP/nDT7Mt+h8Aa7jDgsuL7lqjL2tfUYmhmVwymjx6i2QVrVJLpmlUCwSGY0Q/s4EVs2MZTPF7OMEpsMs6YKJhGKl1W5wUj7ktHwEbRNBa4jXl75PuVFkK7lOTaugKU9W7OmH0fXWQzpG3FLInj7Irr9HL6Xay/oTCkTvAeihOv2cPG1jCwhO38pN/wy9nk9/GE1PT8vqZ/13Ojw8xOv1yroLYa2Hw2EuXrzI+++/T6PRYHBwUEKXuVyOw8NDrl27xsOHD3n8+DH1ep2RkRFZDDU/P4/JZKJUKuH3+3nw4AGNRkPGu5aWluQcatpZBlitVqNUKnF0dMRf/MVfcOPGDSa/6oi2tbVFPB7H6/We6+Uw8VXBUSqVkimSlcrX/EY2m03uXeEhP22+9PCOXl4V5SzWd+XKlXPcQMJ71t/LuH4mk+lc7YbxczVNkweTWLNe380oc8bAvx4+NMrR08Yzodz1I5FI4Ha7GRwcPLcIr732GolEgsPDQ/x+P6VSieXlZRKJhCQIm5+fl5Sy4+PjvP/++wwODkpLur+/n0QiwS9/+Uu2trYkTv2tb32Lvr4+WS1XKpVkMcXu7i7NZhO3200oFJL0t91uF6vVKlOg9GNpaYkbN25I2lQ9q6GmabLMvtvtykINIST7+/tcu3ZNKgrhJYi0zHK5zNraGslkkqWlJfx+v3TTG40GPp+P4+NjQqEQ7XabeDwumyL39fWRy+Xw+Xw0m02Wl5fPQUgul4tGvY5SrvL3pqYwbZ1yf3uTD4/3aXx7HFvgO3hPOgw8OKGxt00mk8MZsWOy9o72i/HgwQMikQhffnyHS9XLOJx2tICC+605XKqJ6ffNDLdthI87nPrNnLqh0m1w93SXByd3GfANMtu/SH9ggFwzw35um1K9QFc7X2hktLS/yR03Wm56K7qXZWS0Anu5zeL9+o2pv5fRKhP/F1ksIk7S63uJ9xkPHE3TmJyclJWgei/+MShCAAAgAElEQVRCVVVSqZSs/4hGo8zMzDA3NycV7ttvv80777zDwcEB8/PzRKNR3G43p6enkqTO4/Gwvb2Nw+FgYmJCxpsU5awuZXt7W/YY3d/f5z/9p//E9evXGRsbw+FwsLq6yvHxMY1GgzfeeEPCTo8ePSKZTDI3NyepeTOZDH6/n0qlIudGNGCPx+My71zP7SMqatPptEyQ0M+Zfu8ZsXM4g/xmZ2e5evXquTkvlUrngtr6NRD3EgSGveTPGDPRHw5GOKaXBd9Loevl538q5S5cnFwuRywWk24ZnG2akZERRkZGaLVaBAIBxsbGmJycZGxsDI/HQzwe57333sPv9xOJRHjppZdIJBKcnJywvLxMJpPhP/yH/0AymcRisTAyMkK73eadd97hn//zf87Ozg7Xrl3jwYMHMpjj8Xio1+tUq1V532KxiNVqldi5UM5isjc3N/mX//JfSvxcPJsYfX19FItFGo2GtAxElsro6Oi5vFuBx1cqFRKJhOT/iEajFItFeUCIjS2KSCqVimxi0ul0JO1pIBDA6/XidrspFAqyzLtWq6EoikzdzGQy5HI59tfXUU5PCe2fUte6lKIRMs9PorzxMsGUGfNmmlC9QiupYu0zoVifTNcS6aIOhwOToqC2VQrpAoXTHG6/h+SwBeUPLxH0DzH5KMHsXoqc1uFu18mhVuMkf8RJ/gi/O8DS6DLPDd9EQ+Mgt0usdES9fRZk1h+i8NuzU8RPYy68EefWD70Vr79W1D0YYRP95+jvof8+ohmG8bv1SpHTP0u325Weo8jbFk1dxGeLJhOHh4fyoF9cXJQe7MDAAP/gH/wDfv7zn7O2tsbCwoL0BHZ2dsjlcrKw8MGDB6iqytjYGNvb2ywtLcnSfsH7Pzs7i9vtJpFIcPv2bVlTYTabCQaD/Pmf/zn9/f1cuHCBSqXCwcEB+XyeiYkJnn/+eT7//HNJUyCCt4Kq22Q6oxIQ0JXgfxcxMgHR6LnXex2UxgN6enqaV1555RzsJ3L7RbGifr30h7KIPfRS5Mb1M3oMvQyiXh7if4+X2ms8E8pdTJiiKDLKrnd1xTWifP/5558/RyYlinoWFhaYm5vj0aNHpFIpXn31VRKJBI8ePcJms/H555/LFn1/9Ed/xPDwMIeHh/zpn/4pxWIRTTuLkF+7dk2mPlmtVu7duyc3Q6PRkOyLIsgjUrb01tvMzAxvvfWWLPfWl9EPDw/LTaG35kVhlQhACTbJdDrN0dERqVQKl8vF8PAwAwMDsmNSvV6XBVbhcBi32008HpeddAQJk3ARvV4vwWBQppTabDaZpyuCVZVKhdPTU/b29nC5XGdc4ZpGJ12gvP8hpUad0/4gxwuzDC4/R9syRGSvQKRRwxPUsPgVMJ9tEuExuVwuGd8Qwt6qNbn7m9ts72zz+//bj+i/NEDg1jj20wovfbHHlf1TTkxNtuwt8pUCW+l19nLb+Ox+xoPTzPa/QalRYCezSaGRpdVtSbnSK3N9vrF+IwrFbsTie1ntRuUv/hkVuj44a/QE9ApC0zQZxzFmUvz3bG7hXXq9XhloFwfcyMgImUxG5mkLPH9/f59MJsN3vvMdgsEgmUyGYrFIOByWzKmzs7Pk83m+/e1v8+tf/1paz0NDQ2xsbFAqlXj77bepVCokk0mZddPf38/U1BTdbpd4PE46ncbv95NMJnG5XIyNjbGyssLKygpOp5PHjx8Ti8U4OjoCzhhORTWsyMgSBozZbJaZNIeHh7KKWVj4LpcLs9ksM3SMjUyMcymguLm5OW7duvVEzEVAu3rdJIaQH1VVJe2AsWBKXNer9kH/XYzexDcZJ8ZhfDbjeCaUOzz9QYQSFRaqoihsbGwQDAbZ3d1lYmKCbDYrOS0GBgZYWVnhwYMHHB0d8e///b9ncnKS559/nocPH2I2m/nhD3/I6OgoiUSCn/zkJ7hcLsrlMtFolIODAy5cuCCxN5PJxKVLl6hUKpycnEjoBpAW8tDQEEdHR1JpXb16lddff51kMskvfvELiaNq2hlF8cjICGtra/KACgQCtNttGRQrlUp0Oh1yuZxs/F2v1wmHw7LRgij5Fsx5fX19uN1uqtUqiUSCvb09yaUtLEuB4Ysc+2w2i91uZ2BgAIvFIi2VQqFAJpPh0aNHUtgqlYpsVej1enHkctQKVcrvfUj/aZaLv/cD4t/2sapE6J62CR8VGahWcLpU1lc3GB6LninzVusJwi5N01A7KuVskXK2iNVuwxf2EXxjCps6w/BmmslHJ9RyBdIWOPWqFLt57tdvYzFZiHiGmAsv4nX4iJdP2c9uU26VzuHfemWsV9R6xa4/AMT3M25YfQDVuIlFeqU+/VKv8MVBIN7barVIp9PyeuNnGrFVPXbv8/mYmZmR5fmC7VQ0qF5aWuKTTz6R7221WvKezWaTX//614RCIXZ2drBYLLz00kvYbDYJV+ZyOV544QWZn55IJFhaWqLbPeNy+vWvf83EV6mT4llUVaW/vx+/38/U1BSFQgGXy4XL5WJkZIR6vX6Oytvj8RAMBkmlUmxubjIyMsLFixdpNps8evRI4uri0FKUs3jV2NgYhUKBVCol4SUxTzabTXrGMpNLe5Lfp9vtcuHCBW7evHmOQlr8rFQq5/Lr9e/Ty244HAa+btEo7mGEfp4GAxrH0zw1/Wvf5FnqxzOj3OE8RqW32MWm8Pv9xONxQqEQg4OD3L17l48//pixsTFeeuklGfyxWCyyEAjg1q1bfPLJJ6RSKaLRKJOTk2iaxp07d1hcXGR2dpb33nuPV155hdXVVZkOpfceBCYoCJK63S6hUIhKpUIkEuHw8FBaAw8ePKBer3P9+nWi0ahsoiCeKxwOc3x8DHBuowtYxmq1Uq1WOTk54fj4mG63KwtGvF4vdrtd/g6wt7dHPp+X2Gg6neb09JRAIEC9XpeVipVKRWb3CMoFUTAjDhTRM3Vvb49isSjpWvWBWDg7RDXtjBnQAgTLdQKlGvNmE2W7leQ1H+u2MGqygynRxNHt4LTVMStmqQjFMLZU7LTaZE7SpI6SFMpFwiP9jP1gCU/bxMRGlsWd1FlapadLwqUSKx1zWjzGY/cwGpzghbFbtNQW+7kdTguHNDtfs4EKmeplNenH07BR/d/18qq3uPSWe69NLe6dzWYlhNALczXi+GII7LvZbFIulyUFtaZpEipwu90yTVfIpYCuNE0jk8nI7kuhUIijoyNyuRxut5vj42MWFhbY3t6mVCrJtpOCHsDtdrOxsUE6neb69esyqK4oCqurq4yMjFCtVrFarZISRGDk6XQas9nM0dERrVaLyclJ9vf3sdls7O7u0mq1mJmZ4eTkRBIBxuNxjo+PpYIXndhEDKrb7co5EDIcDodRFEUqaL13paoqy8vLsuObeF2vdwTeLl7rZSWLhib6ocfHn+YB9pKnb/LU9HKll93fNp4p5W50gYyurFCgAwMDMj3x6tWrMjXp+vXr7Ozs0Ol0GBwclFbpf/7P/5larUYkEuGHP/yhpMF99dVX2djY4C/+4i84ODhgYmICr9crG3Qbh0hVrFarwJnlsbGxwcTEBJ9//rn8Hm63m8uXL/HT//YThqOj8lngLHXTbrfLoo5msymVqNPplLnBgUAAv99PIBCgUCgwMDBAIBCQHCYCQspkMrhcLklmJnBIcViIYhNFUTg9PZVUCiIrwuv1YrFYSCaTjI+P02g02Nzc5ODgQD636PzkcDhk4Fl8d6vVKi0nRVFA7eKrNvBVG0yhUTArfDReY214AmvDwXC+y2C2hFrXsHuha36yvZ7+QEfV2Ly7zvaDTXx9fsYXJpm8cQVXts2lB6dcPkqTpMmeVyNPhe3MOjuZDfz2IBN9MyxGVshWU+xmtynUs0+0pjPCNnq50//daGwYFXav68R9xWGmr2JMpVKUy+VvVP69PlO0oxMskSaTSeZqC6bFO3fusLu7S19fH8lkUnoGIgVXz7IoCL9EEsLJyQm1Wo319XXJ1R4KhQiFQrKQbWlpiVLprDPYxx9/zHPPPcfU1BRer5crV67g8/mIx+PYbDYKhYLkkxecTv/1v/5XSc1dKBTo6+vjBz/4AcVikePjY/b39xkZGcHpdHLhwgVqtRoff/wxW1tbsq2kpp11nDo9PZUtJkXwUxQ5ClnVNwLRNI3Lly/z3HPPnbPo9ettNpvJ5/MSStWvjV5xGxti94qVGMfTgqy/LU6kV+xGmXvaeCaUuzG41euLp1IpQqEQmqbJxdW3NROT5HA4sNvteDweTk9P+Uf/6B+xs7MjKzmdTieqqpJMJvn8888ln8abb77JxYsXaTQaPHz4kNdee+0JS21+fl5atCaTSVauXrp0SV6jaRqTU+O0TBVWrs+z8WjnnBslMm5yuZwMyor0MoGlezwe4Kz7FCCbYAMyhdFisUgryOfzcXp6KuGWdDpNo9Hg6tWreDweDg8P0bSznHSRKSO604vmCsFgkFqtxsnJCdlsVkJgHo9HklcNDw/TarXweDxEIhHS6TT5fF4+uzFzRelquOoNRg/iDKsW7u3t4Plf/h673mGqmQEC8Qr9uRxKy47pK4veuO4ir1/tqBTSeYqZAqndOMGBEIPXovS9OkXwuMLNe8e0EzliLo0DT5dcJ0W6ksRmtjPojbI8eBmbxcZx/oC9zDa1dlV+byNco89+MG4q8XzfJMtiM+plW6/ES6WSzIzRf67x0Ojl3UxMTODxeCgUCjLjSnzWK6+8InHu7e1tCfuJfSX40gU05na7WVxcpNlsEo/HyeVyzMzMYLfbicVi2O12SqUSa2trXLlyhZmZGXZ3d9nY2JAHTbFY5M6dOywtLbG8vIzH45EY/eDgoKTICIVC+Hw+dnZ22NnZYX19nWAwSLPZZHh4WBpO09PTfPjhh2iaJr3tW7dusbCwQDqdJh6PS6VbrVYlqV4mkznHAVOpVKShJSBHVVW5dOkSzz//fM9100M4gkHSmHmjHyKYapQJ/X2M1jucpygwXqsfvaz0b7qvcTwTyl2Mp518eoUv+E/E9caTLBwOc3BwQCAQkBSh+pzbRqPB9vY2v/zlLzk5OWF4eJhSqYTX6yUWi0nSIpGSKfBqgf9NTU0xNTV1bnFEwFFYDvV2lXazw8jwKFaHwvq9PWqVJuXSWdA3lUpJxV6tVs812c7n8/j9fqrVKm63m76+PgDJcy6sLIfDIT9XKP9EIoHZbJZ8MIFAAEU5o0AQmL6gXrXZbAwODkq2PVVVqVQqxGIx2VWnv7+fubk5WZnr8XjodrsMDg5KKl673X6O2dIofHa7naXFRWw2G694LqPEs4zGMqQaNYqRPo5nh2mN/x4jGzFaKNiaOTStDiZNWpuCREvct1at0Y11yZymsNqshEb6GfruOAHLIiNbGSYfn1Ipl9mxt4i5Gxx19jgq7OO2eRgLTPHt6b9Ho11nJ7PJSe7wHBQiht7CMm66XoEyPT4uDgVjSiQg8WxjBapRlnv9HB4e5tKlS6yvr5+LoTQaDW7dukWz2TzXmEYoYP13yeVy8pmEDIRCIbLZLA8fPkTTNClXIk1XFMBdvnyZubk5ya8k9mU+n+cnP/kJ4+PjUlbEs4kmNKLpxfLyMtFolHQ6zYMHD7h06ZKESUUzkXq9Limz9/b28Hq9rKysAPDFF1+cK3QqlUo4nU4GBwcplUqy8EjIp2gz2el0mJ2d5fr163LNesEkiqLI6l5heBnXR4+3G6GSXrBLL2u71+fqlb5+CCjpf3SYf/zjH/8Pv+n/7/HHf/zHP/7DP/zDJzYMIJnxgsEgh4eHVKtVWUwB59PKFOUsvzeRSBAKheR7BSxRLpf59NNPeeeddygUCqysrHDjxg0KhQK3b9+W1MGvv/46f/Znf0YikWB3d5fHjx8zOjqK0+l8Qnlls1n6+/ulxWuxWHA6XJjtoJjBXm7hQ2VoKIAt4OTCpUWOjo7IpDNUq2dQSl9fH06nU2bMhMNh2dJPkIyJhiI2m016DiJNTGzGXC7HyckJqVSKhYUFQqGQVL7ValXyueubk9hsNumCJhIJjo6OqFQq9PX1MTExIQu8hoeHZScqkSZWqVSoVCpomnbuwBNDCKvZbCYWi0nc26QoNIsl/NUGkWyWvV/9koPsPp7v3iA3PkXDEcLcUDDXmyhKl1areY5ATlHOqIEFllwtVEgcxojHk9T67Sg3p7EtjDLctjMXbxMud+goGiWaJMoJ9nI7lBtFxoNTLA1eIuAIUq6XqTWrdLUn3V9jNsw3/S6e22Q645oR9AYCDhIdjYybXP95vaxBv9/P6OioXEORBaNpGjdv3mRgYIBHjx6xu7t7TkkIS1pvpIiMmmazSTKZpNVqMTw8zPj4OIeHhxwcHMjA8BtvvEFfXx/7+/t0Oh0ikYjkci+Xy3JNyuUy9+/fZ3Z2VkKaeqvU5XJJo6FWqzE6OsrQ0JCsbvV6vfzkJz/h+PgYi8VCpVLhO9/5DnNzczx8+BCPx8Pi4iJ9fX0SOmq1WrLWBL42AkXmmkgLbTQaLC8vy+Y/vdZPr6BrtRpbW1sybiCwfv17AVkZrr9fr0Na/G607vV/M95D/zcxx/pgvpCzTz/9NP7jH//4/6LHeGYsdz2eBU+6s5988gk3btyQwihywY1WvqIoMuOkv7+f7e1thoaGSKfT/PKXv+Thw4fAGbtcLBZjY2ODwcFBLl68eC5n9fLly0QiEUKhEHfu3OHhw4dcv34dh8MhJ1i4n7FYjKtXr7K7u3tWyLF3wM72Djarhat9fk6qda5FgmCzE3EFWK8+Znx+iNCwl0wqh91tQe2eCeTAwIC0QAQmOTw8LK1X8fnNZpPj42OJXYrsGT3WbjKZyGQykgStVquRTCYZGBhgaGhIdtDRNI10Os3x8THpdFpa7H19fQQCASKRiNxwcCZUtVpNxglEDEJvfYj/K4pCPp+XKZ2Li4vnMUa1C+UKpsNDxm/fp2u3Uerzkb0wRNsxgz1Tw7q9h3l3Da1dRVGQaarGjVCv1Nhf3eVo/QBP0MvQ9DD9N67iTTd54X4M9STFsdJgz6WS6yRJVRKorS4R9xAvzr6MWTGzk9xkO7FBuVGSit24YY3wif7A12+8XoeEgMGM7xO/G1PyAJkBYrFYKJVKMkhYr9e5dOkSCwsL7O/vs7u7K/PNxf3E70JB6Pl5RGX12toanU6HmZkZuW65XI6XXnqJQCBAqVSSOLqgBhH58KL5tvAY//W//tf843/8j7l+/fq5vHFhwYtG8fl8XsKEohBqcnKSarUqD4Cf/exn2Gw2otEon3/+OYODg4yOjvLyyy/z05/+VLY2PDg4kIWHosBQQFatVouLFy+yvLz8xJo9TRFLBlTT19QUQrbFQW+z2fB4PE9Y5Ub0QQ/PGaFL/XuMa65/TciFPnVaf++njWdKuT9tiAdOp9McHBzIHqb6ydIvVH9/P0dHR5LQp1arcfv2be7du4fb7ZYNtOfm5hgaGmJ/f5+//Mu/PCthdpr58mSTt268xqcfnx0odrudQCBALBZjamrqXLn68PAwH3/8MW+//TaTk5Myeq+qKmga3nadk/U1hgYj9E9MUziNMVRpYynUKWYLaM0maqBBcDBE117D5QuRSxfpqG15H0E+JjwQh8NBqVSS2TDb29sys0A0XxB5v6IISqShWSwWHj58SH9/P5p2Fr84OjoikUjIZuATExMMDQ2d8yZEyffAwIDswCOCScYDWb+mIjNHFKb0skqFolEAa7uD/zSF9yRJ12alGvBRWB6kdmkSU66KffcATg9ptdrYbNYnPlcIfrVQYev2OjtmE8HBEEMvRAl9Z4roQYmJ+0dUs3l2rQ3WabBZWGX95BE+Z4DZgQX+/uUfUKwVWT2+x2n+mC5PVsHqYSi9EtN/n17z0d/fLw9tfbGN3urT/y4Uu4iliHu2Wi3GxsZYWlqi2WySSCQkpCjorYXFKSA5AcGJamjRGMNisZDNZmUgsdvtsrS0xJdffonT6WRgYEAmEojm7v39/czMzJwj/DKZTFQqFf70T/+Uf/pP/yk3b948VyAm4MbFxUW++OIL/H6/zK8XqZwiJuD1ekmn06ysrPDCCy+wvb3Nu+++y+uvv878/DxLS0uUy2UJEcHX3OuinWaxWGRlZYVLly6dU7r69dPPvXi9VCr1/JseWRCxPeNBb7y3XjcZrXcjlGc8ePTXCG/kaRBQr/HMKHchHPDk5ABcvHhRtpwT1LbGyRJDFOTU63Wi0Sj7+/t861vfYnZ2lqGhIYkLCgv0F7/4Bfl8nqUXr9F+bZJKrcoXxTiTU1NsbGxQrVZ57rnnZHqV+G4C1oCzzTYwMCD7Suqt15GlFRSLFU1RWE1mSTl8JJpZLKrGmNmGp1DHrdToOFRUswvMLYZnwlTKFRy+IEMjA7gdHiwWK319fbKjzP7+Pvv7++TzearVqqz2Ex14SqWSbM5QKBQkZ72mady+fZvJyUkZSG00GgwNDcnXzGbzOUtIVAGK9DuhNITVps8KEUpPbOrNzc1zXbWM6y6G3sKk28XcUfEmM7hiSSz5PHmXnersNN2rr9NuavjiSRypBOZmFa2rnrufmH+1o5I+TpI+TmJz2OmLhhj+3jRBxcHS4yQLDw+J1dKsKmVOOjk+LX3AZ9sfMRQYZim6wouzL3OSP+LxyUMKtRxq9zz2Keic9fxCQn5FwN/osgeDQUwmk4TDjDKst9ZEwxZBAiaUXzAY5JVXXpHNK5LJpISCBB7tdDolVYDoDlYsFikWi/J1gasriiKrmb/97W8zNzfH5OQkH330ESsrK7Ja/PHjx1QqFR4/fszFixcZGBiQnZs07esOY//m3/wbyuUyr7/++rk9EwgEJDOkKBQSiks8d7d7xvfk9XpZWloiGAxy5coVYrEYX375Ja+++iqzs7N88sknsuWmyBYT9S4AV69eZWlp6Zx3byTz0g/x/3w+T7PZfMKS1q+PiMd9ExZuzEfvpbT1+6QXjKPfT0bP+H8ay70X9qhfgFAoJIOL+uv0p6L+9UgkQjabZXh4mL29Pex2+5mAKtBUajRKbfLZvMz3ffvtt/E8P8Wnx+uksynWx214x+bY+dUh/RYHwUgYtN6fOzQ0xIcffsiNGzdkquK50958hjOnUil2dnfPUtkUMweFCuVyCbOmMTvWYWYwgi2RYchkwm32kNVcNH1mHB4TbcokswWO4ruYsOJ2nOGUovApkUiQSqUoFApMTU1xcHCAxWIhl8vJLBh9+lypVOLx48eMjY3h8/nodrsMDAzIQimBqYuuNQMDA7IFnmDyExz4fX1957I29NY8INuqGYOHRthDbGyjsJtMJlxWK5XTBLZYkq7FghYKUltZprRwA1NTxXlyivP0BKVafgKuERuiWW9wun1MfPcUm9NO/1iEoT9YIVDu8tr9U9pbpxw2C6wqFeLZQ44zBzhtLmYG53lt6Q1QYCO2ym5yi1qrJjdcp9Ph5s2bvP322+RyObLZLJVKRTaVyOfzcu5FRbHdbpdUG/r50hfUiCKfRCIh8WNRhPbqq68SCoVQlDPSKwGNiff6fD4U5SwzRwRFrVYr5XJZZoGIRhNut1vy59+8eZPFxUVMpjPSLoB3330Xi8UiM0+EhX7//n3m5uakDImaDDhrY/cf/+N/pFqt8r3vfU8So2naWQqvUOgisUCv2DqdjvTy7Ha7XL9IJEK1WiWVSrG1tXWuENDlckl8vV6vc/HiRRYXF8/pF6P86Y0wvQIVB45esevhMjijEDHe52k6yajXenl0+n3T6/sZFfs3IR1iPBPKvZerbrTonvYe/TX660QZsyib3t7e5sKFJbKuY0qdHFvxbW7/ZAOTdoYF9vX18eH//Q53vXkCk0P8791lhj2DRP7XIJ/trfJX3mPcXQvhjp3BtgO/asOOCbNiYmFhgbW1Nf7mb/7m3PcRnVz29/clWdP8/Lyscj1z5xWaqspeMk14fJIaNuwmM+M2F662ijNfwWfLYXK5cDuDdPts1LUm7W6HYiGPampSKOVIp7KSx17QEogCl9PT0yeaLIvWfwKfHBkZkW5yrVZjZGSESCRCu93m4OBAbppUKiUtFhHcFf0z9Qpev05ms5lKpSKbmgurVmxcvSWlt95F4YvIyhHNMJR2G+JJfI0WNscabb+PynCUzLdegK6CMxbDcXKCtVLBxJOd5FVVpZQvkkmmuf/xPbxBL5NLUwy/9AITqSZzd48pH8XZUoust2qsnTxg7fQhfZ4wS9EVVp67Sq6SYfXkPqlSgnr7TJkMDQ3JZupCgerpYYVyrlQq1Go1isWiLL8XsFkmk5Hl861Wi/X1ddxut2zzaDabefPNN2UHMovFwszMDMfHx5JAT8BnylcGhfAeRArtyckJinJWGS3a3Yk0wcnJSWmglEolPvroI0mXnclk5HMJr3djY4OBgQFZOb2xsSHlzGazsbe3x6NHjzg6OuLhw4f83u/9Hi6XS8qAqD4Xe8bhcLC8vMzy8jKNRoN4PM76+jrr6+syhfPo6Eh6MMJzFqm97XabaDTK4OAglUpFZlvpDS5jVoo+PiIyZUTwX6+o9Qew4PTR6x29pW70DJ4G0xgVuP776F8zwjFPQy3045lQ7nA+vcz4QPoJ0F//NCxLTKxwAYeGhrh79y71do26pUxxp0HFn2bxB8MoOQdrX2zyk5/9PxRzJb793HN8b/b79Af6iMfjVE5z/B/Ra9hKTopKi7StxYajTNHUwqxBULURadmJLs8wuziPSVMw6U7Z09NTtre3eeWVV2RJtLCm9N/f7XYzOTlJNps9I0MKR8ibrZwUq9RVEwOKFZ8K3WQWJ1BVVTa3dzjOJfGG/cwNjqF1wV9wg+ksQCooVoW1JoamnWUviJx6kV45MjIiD0JBryoIn4Ry73a7ZLNZTCaTLMASm10vlGIdNe2M2+bw8FBCMwLGMOKeYgP2sohEMFDAGJp2VtVrt9ux5gsEckVfW6cAACAASURBVHm0x+u0XW7qoyPkn7+OZlJwJpM4Do8w5XKgO9zE4dtutUjHUqROk1jtViIjg0w/P0P0u7Nc2ity5d4h6XSKx5TZL2X4oPwrbBYbw8ExLo89h8/l5yR/xNLMBSl3QgmL+gCh4EWQT1BRh8NhZmZmsFqtMntJD5cIK1XQa2SzWUnNW6/XpVJWFIVr165xfHzM6ekpwWCQQqHA2NgY169fl0kIopm1gGVGRkZkg5fl5WWuX7+OqqrU63XcbjdHR0eSwkJAb0bFWK/XOTk5wePx0N/fz9jYGCcnJ1y5coWVlRWy2Sw///nPZUu9999/nx/96EeylkJ/0C8sLEjYVcjru+++S6FQwG630+l0GBsbIxAISGrrv/3bv5V7Xhg2iqKwubkpYSqRZWaz2XA4HDgcDpxOp1T8ev0hqIn1MinWVZ+x4na7n4BUjF6pEcrR6yz9MFr1vX4KY+e3QTH68Uwod2GpGU87veLWu0S93B397+I94XCY1dVVIpEIo6OjbK3vMPH8IA/aDwg0h/GZwtzL3yZ4wUEo2sfwUJTZkSWsnRYbu49pV1SmZ6Yxm84EO6zZ6VcdLOFDpUuVDllLk4S1zpajTFNR8XathNt2+ls2fG0LjVZTWjk2m+1cgFTk4wIkk8lzDQ5EI5D+SIRqs8VeOnsWUMWK1m5RTmdI7+4zaLfjStehChUTWC3g8CuYnBbUPPgsLuqNmlSKFosFr9dLf3+/LHqKRqNEIhEZU4hEIuRyOemaCqWSTqcpFArs7e3J5gv6CL4+bqJX3sJyEmllwBOKXCgpI7OjfjgcDsleKebo3CbqdrGUingfF/GuraG63DSGhileukzHbsOSjOHYP8CaL6J2u1K5CBls1pscbR1wsLGHw+VkdHaMme/NMWhZ4dXHKW49PuKklGW1U+EkucNeahuv08eNCy8RVSZQ0tBy1qFbx+F2yNiQGD6fTx6EQoELK7fVatFoNCQlhPg3PDzM1NTUOetTbykK67fT6TAyMsLjx4/lHAqiuVqtxtDQEDabjUQigd/vl7ETUbUq5l7fR0BkxwgPVKyTyPrRW7yPHj3iwoULvPzyy7Lh+meffSYrpufm5njuuedkYZKekmBubo6ZmRncbrdshSkOkhdffJH33nsPOPMEpqenJV3G1NQUfX19/OIXv6BUKskAtaD91f8T8if+LuRGZOwIErZqtSqVu1FGxRCHpNEQ0esz/c9eBW360QuxMN7TCM/02h/G8Uwod/iaj0P/pfV4rP6hjUUkxhNTXG82m2UO+ujoKNvb24wlxuhLTfDJB59QLHxJs9nkhRde4PXJ13F4rMSTJ5zUt/CNu3DYNLLdPaxtJ/aWG2vLiVm10lU1TCh4seJtWxlrulC1Lm2TRsncJmlpsO4sUfZ0KKk1yjcGWVPTRC0+zJqK2WKWQqy3YkWXJKEENU2TjI0ioNbtnvHbnJycsHaSPNuQFjMjfUHGQgECFjPdSotWrYaiqbj9LmaXR+moKtVyDVQzbocPp9NFwB8gHA4TjUaxWq2Shvj4+Jh2u83Q0JCkbK1UKuTzeR48eEAikcDpdBIIBKTVL6AaIwlTq9Via2uLQqFANBo9Z+HoD3Wxfkb3VSg/k8kkm6aLg0BYuU/roWmqlHHvbOLa2aLrcNEciFJbvkrZbYNUHHV1De34FNpt0M5zCTXrDbbub7DzaAtf0M/E4hQzf3iZaFVh8t4J1e0T9tpFVqtVFH+b5kAJpWXGVLYSqA9gVkH1tFBtbTS+ng/xPEJ565/V5XKdk2G9YSMsavF+cTgAMnd9eHiY0dHRc1CQCHoLRSzYGgXu7Xa7ZTOXBw8ecOPGDWw2mySRE4F0fYN5wRxqNpullX/p0iVmZ2dJJBLcvXtXWtmAZFp1OBzE43E++ugj3nrrLcLhMBMTE+fSF/WHnqqqTE5OEgqFePDgAWazme3tbcbHx6VMDA0N8cYbb/Dnf/7n0tAQ8mH05o254pqmydZ/4vNEenCvOhoxp3pPRoxvUti9/m/0SvUHtt5iN3pKRl33TeOZUe7wZETa6O4YH9x4nXFomsbg4CD3798nEomwsrLC3S/v8uKLL/L5R19gtVr5h//wH8rI/c7jvTMMs/8ipoKCqql0zC3a1gYNe4WKK0PXpGJSLViadqxNF9a2A0WzYNIU7F2F/q6dUNOKpnlQ0diM19k+LqK+5uNLtUzbpNFy2iiqPrplD9aCBVO1gQmFv/7rv+b69esyxUrPb1Or1WTGS6FQOOv+riio3S7VVpfNRIqDfBGL2YzTYiZgsxBxO/EUm7RzNZpmE74+Pxa/G2+fD4fDiaYq2Jxm4okYob4wqqri9Xrx+XxSkYg0uVQqxdHREaVSSea/u91uYrGYtHB6uahms5lkMsn169fx+/3SctWnAYoh8Fz94SCsO3F/YfGJawQEYtwQehkADaol7HtlbLsbdC0OasEw5cUrqDdv0c3GUTa34CQGtfp52epqFLMFHn58j8efPSQ0FGZmZZ6xl19iMVZn5d4xc2Uftnt7tGcGqboVLF4rjq4ba8mJVXWhulp0nE26ZhWeYnD1st7ET3Hg2+122YADkJ6XmBPhtgvDQRy2+paD4XCYgYEBCQOJOX3rrbdkjrmQN6fTyb1792RwOJFIkM/n5RqFQiGZMXN6esrdu3eZnJyU9+h2z/ibBHvp5uam7IJms9lYXl6m0+mcg6L0il28Ho1G8Xq93Lt3j8PDQ9kExGazkc1m+eijj2Tqp14niHnVe4ZGZSquEV6okEsRqBV/FzIIyNiR/v5PW0/933vByMbkAaOBov+/0QP4beOZUe7Gk9Yo4L2gGf0E9cKyhIKZnZ0lFosxPT1NKBTi+PiYP/iDP6DZbDI+Pi6zPwYHB3G73V8pD1A0E5a2HUvbjqseADRUpUPH1KJtr9N0lin7UigKKB0z1qYTa9OJpe1A6ZgwaWCvdbEflJg/Ulh2hEkVc2xnaiRVFe35ETSfHVNLxVnu0t5Lc1rJMuMZI5NMEY/HZS65cKNFw2OxKfXBqFarRVtRqANZTWMvV8QE+JwOrszPMujy4FQVzEUVOl1aDiu+gJ16u0Gmekq7oTJojWKxWigmzkicRIcd4V5Ho1H6+voIh8OyEEUv+HoLBJDNHYrFomzVJv4uCjME1nx6eio3lREvha97zzYaDfl5gve7l9w8ufHOFH23UaazHYcHt7FYHViiE3TnLtO8cQu1lIb1dUyHp3SrNWnRi2dJnSRJn6b40m5jYGyIpVcuMHrtGvmdIt6/uoPLbka5OIk6HkENN1E6Zix1B/asD82k0vY06NrbdJXzvQqeNoxKqNFo8P7776MoyrkGHQJ68Pl8kgwsEAjIoKmwRAUkpA8ainkU9xDzvri4yKVLl+Q1or4hk8lwdHQke6n+9Kc/RVVVbt26JYudvve97+FwOGi322xsbBCPx/nVr35Ft9vl1q1bRCIRWUEuYCXhoYjnEsp2YWFB5twPDw/LBjmpVIpf/epX7O3tyRx+o5Wrl0W93tArU72u+G0epaZpkhnVKF/6z9ff31jQpH+9l/X/NGWvN3CNz9VrPDPKHZ7kYtBv0N+GM+kn1lgcIASuWCwyPT3NZ599xo0bN+jr62N9fR273c7U1BTwJKe3+F0uumbBqprPoBrVf2aJmbu0zQ3a9gZ1bwHV3EJDw9y2oZYreKNONItKuVTC1lFo7qUJFWs4qlXMtgamgJNm0IbpxWVco2GSSpdO2svxF4+xpYu42yaapSp8JRDCQtELh1h0PbylaRpunw9/Xx9Vm5Oc04fH7SLgcjHk99Bns2Jqd1AVL2o4TNUM8WIaHE36x3yorQaKWSMVT5LL5iWW6XK5ZHBKz1JpHCJ4ePHiRWk5CTZCfV64opzRCYgmLOIwE3wk+XxeFqgYuc8FNNEL+9RvZD0bpAwM0oV2jdbBY7S9VaxmF86BUboLl2g//wqNcgptaxPL4QlU63R1AdlGvcH++i5us5PIm79Ha2iQ1I0a3dMC/vVTPLd3MA0GURdH6AwE6HjNKC0LloodLWenYapRtVexesxYbdan4rHGQ0pUYgo+FnFAiibwtVqNeDwuPT0RO4GzHPO+vj7JNurz+ejv75eHgcgOAaQXIFI3a7Ua1WqVarVKs9mkv78fn8+Hw+FgdHSU1dVV/H4//+7f/TsWFxcJhUKyn8HOzg6qqnLz5k1+93d/V7KS6mEYIb9G6118D0VRuHDhAn6/H5vNxvHxMe+++y65XE4ePkZIV8yZsVm6XlbE6wLK0v/taZi66O9shIeNClmsmz6tUr+WRuXcyzI3xliMr33TeKaUO/TmYzDiTvBk9Plpp6j4fXx8nJ2dHWZmZrhw4QJffPEFoVCIaDQqg0h6N1h/T/1nPTGxGtAxYe24sDZdOLoBNKVLV+mg2tpYrAX6lpxkwnuorS5Ky8zAip/6WoXI0ATdjoZJMVEr1AhbrPhqUOuqVG0OlKkJUrMNsmaVTrWBkq7iTDdRMjWUrgpfwSZ6YdJnrnS7XRk4Fdba0NAQTo+H/tnZM4WnqijNOuZyiW4uQyhTw2S3cZQrUDMDFpXQsJvAgAu1BcVc+atGyM1zjYH12Tj6jQGQy+V4/PgxfX19zM7OSuWu30SNRoO7d+/KebZYLLhcLjweD9FoVOLKq6urFIvFc1CQnh1UfL5RpoyHtd4S0zQNDY2OWqV9ug7H65gtLoLhMZhfonHl2zRbedStdcy7h5gqNbpfKZ2lpSVcDieWlhlzV6E1YKM1PkC8VsN8lMf3xQauehdleoD2fJSS00Rda2LvOHFWfDRSDWwDVvCpaOYnycqMlt/p6SnHx8ckEgnZFaxWq0na5WAwyI0bNxgcHJRpl7FYTBLCxeNx5ubmODk5wW6309fXRzqdZm9vTwYKRaeu/v5+wuEwg4ODNBoNqtUqZrNZwmuiTeSVK1e4c+cOJpOJN998E5fLxeeff84HH3xArVaTNQCjo6MyF10ocb1C1/8u1kjAM+Pj4+zu7nL37l1sNhsPHz48B8X00iPGA9MI+ell1ajQ9Ri9Xv8Io0ZvVPU6BPT6xPg9jPi5/v69Uon/v45nTrnrH1gMMcliPA170k+icZKtVitDQ0McHBwwMzPDlStXZDMDvdWrV0riXuI76BfiaS7Y2YcqmLBibthQj+0cvJdlUjXT0jqYvSoWv4n510ZwB500ak3qmTat3TKKvQtKF6dmxlrRGMuANZ4nXy7Scpioek20x/10Lw2gWRRM+QYkq1gSFczFBkqri/rV5lCUs6wXkRomICePxyPLzAWXjsnhom2ykGt2SFeaJI8OoFphOOCjUa1Q73Ro2Sx0PQ5co0EwK5hNCnQU7E4bdrvtiQNR/0/g9Ho4pdcmMAYZReaC6FbU7XYlFYJoVKJpZ0RPominV2BeLxciS0ncT28ESKtVU+m0SjRjqyixNewmF/6+UUzzizS+/yJ1SnT3ttE2tllaWfn6fR0Vu8WGVbPidbpoLwQozw+SK9dwbGVw/+I2Nk2D6QjrnRLrR/t87/XvkzvMMOAZwh3woXqaqPY2mtLb5Y7FYly8ePEcvCIopGOxGFtbW/T397OysoLNZmNkZITJyUlisRhra2scHBxw9+5dXC4Xk5OTksRsdnYWh8NBOp1mdXUVr9dLNBplbm4OUWcgKrL1VvX/y96bxUiWXnd+v3tj37eMyD0rM6uy9qquXqqbYrM5FMUxSTU1lDTSQDZs2gCFAQwDM8YYA2n8YuhhAD0MBtCbINgPssYaSaA4IscURXerm2Qv7IXdXV3FrupasnKPjMyMfY+4Eff6Iep89eWtyGoOxg9NTx4gkZk37hb3ft/5zvmfc/4HRgWG586d46/+6q9YWFhQ2VTPPfccX//615mdnVUdwizLUkFe8fp0Y8Rtscu7Mk2TUqlEqVQin88/UmSkz9dx1rY70O+G72S7bduHsmTc55b54/YC3Oced95x96nvJ4uKLu65pOvGT7LePzXKfZyylO26pTXOfR133LjzxONxlQ4lin2cKz/u+HHXHOctuF+43He5NMKnew2bSC1Crd2i5e/Rc7rYwR6+pIE51SaQC2AMPND2YBQSELSZaE3Q7/ZoNJoMbvfx+B1adg//dJLhyQk6T3tpOn2GzS7DfBU2qixHJlienMPr8bC/t6+ybCQToFAoKFph6fxkWRatTgdfPMkwEqPo8+GJJKgd7BO0LCKVNvagj+P10gv4sCMBlk5PEc6Y9I0GhuPDxAPOYVc1nU5TrVbJZrOHLCE3nCPb9RoAyYuX9yXEWxLUEqs/Go0+gmGLMtdxU91KdI87/f+HY82h57TolT7GeOMO/p9EmEjOw8pp+i8+x+sLc9R9NktDA5/jENQ8CD8+/IYPOxGjfSXG/vkslFuEbhU5u1qm8tF9frT/7/nMb32Nn+2/z4ngIpPM4quGGQb7WOEu+IaHnk+xWGR+fl41ahHytmazqUi4PvzwQ2ZnZ0mn0wSDQTKZDLOzs6onQKFQ4B/9o3+kvKi1tTVFey1dnC5evKjYFnWDy71AO45Dq9Xiueeeo1AocOfOHS5cuMCv/dqvsbCwQKfT4Y033mBra4t2u62MADnW6/WysLDAzMyM8ugEaxerXZT91NQU77zzjoJDxhl34xT+uLkt13LDLzIu3YpdRA+museLe+wcpXx1mMWNu+v379Z549CKx8mnRrmLuPElmZSyesNhfHXcKqYrVfcLkjJ4EbeXoE/yo4Id8Ch0I8eOO77f75PP5xWz48zMDLZtUy/UMQzjQfPiDnvDJtkpm+nFHIGUQWTWT3g5TW/QZdCK4LNmoeHD7HmxOjYGBr12D0/fQ29gsdMqY08vUzo5hMk4a14Pka5BsBSEJtgti2KpNAoTPBjA4iLX63VarRaNRoNisUgul8Pn82H6/MQnpx+0BfRQrbZJBPzkbIPk0CDYapMMdgn5e3T9Fn2vg2OA4XjxeHyYppf9g33VrFu+u74QDodDxXIptMLBYBCfz3dI0UuDiWAwqOhe5blLteK4CaErb7Ec3dCMewyMc98dw6Zr17FqH2O/dZNnms/xK8tP8EF1izfTXryzIaaaJS77QiwEI/hGJwDbYdgaEDFCWBEve+eHlGZsTr3wdYy37tP+37/PmafPs1q+jvcZiKdTeDsBgtUoDmCFugwCPZySh1OZsxiYpFIpfD6foploNBqqTV6n0+H111/nV37lVw59h8uXLzM7O8uNGzf44IMPHsBrIwKy+fl5Go2G8pZkwbftEa/QUcFFv99PLpdTTbUvX77M0tKSKsJ65513MAyDF198UfHdyJxoNpvs7+/z4YcfsrGxwblz51SzecHddS8rnU6TyWTY3d195B0fpUzdBp8bLnG/a7exJ2NV4D/pkaAvDHLsOMPzcUai+9pH/a8HUXX9+J+t3A3DmAf+T2AKsIE/cRznjwzDSAN/CSwC68A/cRyn8uCYfwV8ExgC/8xxnB98wjUeeVDye5xFr5fRy+f6Sj6OHOioF+d+OeNcLHcKpr4gyOqrP3S3NWDbtmoqIGXdOuGQTLJOp0PzXpPSflkVdfT6Q8LxCby+AbGZEJElPx2jCY4Hq23TKpiYHT/hThCGQ0qrZSKGQXANIhNJOhFop8OUl3zUhz38FoQbQ1JNA6tWZFDvUMjvUiwW8fv9iq9G7tdxRtWzU1NT5PN5ao0m1jCMEYmx37PZyR/wwuwJ0kOTYLWDY9sMvR76QZuuf8DA45CZjeCLnMQYejFMMJ1HU9F6vR4/+9nP1HsTbFO6aolSlx8pChMR5e62wtwTSaxB92SRfcaNO33MCETY7rc5/8wZnvrsCU6Wa+xvlVh7d58PSjW+d3qK0Ckvp1IhzgwMorUmfZ+H+8aA1/79X1HZ3Mbn9+F44IsvfonpL59l5/Ye2TslYrvv47u4iHVqil46QLvWxVsJEO9nKO/lCRJmWIRbrVsUi0VisZiCvTKZjCouKxQKrK2t8dRTT5FKpVSDEGmG3mg0VDFRrVbj+vXrrK+vK+ZQx3EOMaDqxXeOM6IJmJ6eZnJyUhU0/cZv/IZKw+z3+9y4cQPHcfjSl76k+IvkWQaDQeLxONPT01y4cIF3332X9957T9F07O3tqawYPfh++vRpNjY2Hmlvd5QSleu5Yy5uPeOGR/R3ro8d/Xu4rWd3HEffR19Y3AanW+fo1/yk/x8nP4/lPgD+F8dx3jcMIwa8ZxjGS8D/APy94zh/aBjG7wO/D/yeYRjngd8BLgAzwMuGYZx2HOfnaiUyzhJ2K2W3uBcF9wN0KxL5bFy+q/se3Pehn2Pc/vpvvShCSs/F+5CsF8cZsVfqjRQqlQr7+/t87nOfG1lHRoCAJ05ztYnnwEc4PE21WcWM2CQSQdrpOkOPRWIFBtsmW7d2aTQDDO0eDE0SoTCToSCegJ9uEA68Fnf8XfaiVap2HdItMtEw2X4AjzeA07exH+RTJxIJtbiVy2VVwCGseZ2+xSAQohtP49g2hm1j9Dr4+12CzTYmUKjX8A572JEAllHH8RmEEh5Mn4NpH858kecqz8w0Tfb391XAVqz1dDqtcHcY5bsLJfK4d6HHVUTk/eteoe6ZubMh9HHi8/m4evXq6HqmQzDtY94fIVLsMRkLs/d+hTvNAt+eDOCcjNOYCRHd2WPif/wGp/+fN6ntFjhz5gybq5vEjQjDXITBuSkcX5DI3Qrx/7jFIOihcClLJJnC6/PS75Xw9vvsVEuUBiW10GUyGcXfLx7Xf/gP/4F8Ps9f/MVf8MUvfpFEIoHP56Pf7ytM/u2332Z7e5v33ntP5ctL7vz6+jrz8/OK00cW4EgkwszMjFLqOoSiY+VbW1tUKhW+/OUvq/ekB73d7+i5556jUqlw8+bNQ1W6wqEjyn16elqxQOrv0e3Vu6+jz3l9TMhngg7IdXUoSuZ7MBhUMaxxStetp2TbUZl+bgNEto3TZ/r/7v2Okk9U7o7j7AK7D/5uGIZxC5gFvg584cFufwr8EPi9B9v/wnGcHrBmGMY94FngJ59wnbHWlv7gZds45SqfjXNh3A9lnJUux+rHj1u9RdwDQ9/f/aJlYojoVZcCy8gAkHPV63WuX7/O5cuXqVQqiguj1WrR7XZHpFMf5h8GoZwBQ8PC8vUYhgbMPJXFFx0y7FvYnQHtZof6botWuYvpeOgVCjTyOxhBD96pBMaFBSpzSeqRAL4BhKtDJno+GsU2WAb9bk81Jpegk3gcKghqGOD1MjQjtINh7OGQVq3KzfubnF+YJ2dGMPdbDHxeGsMhhtHFCDssnJmk2lpkd/uAdrPDcPiQPlhfqPUAqHg/enWsFDTp70In7RIlNM5DGzeWZD9R9LonFovFWFhYOJTCJ+0T4zMRknMxTvVt9tYP2Hn/gP/YSdH5v3/G6vkY31hYYmV2jp/85Cc8//zzijPHaEJ6aYrBZ7LsPdWk265j7DSp3bvHTP+A5Zt5llJR/uOwpjKJJFFgOByqBubr6+sqwHrv3j3K5TLT09OcOnVKNaVpt9uUy2VVAS1Vp51Oh729PUKhEPV6naWlJZV+uby8zPT0tKqvkOcp31/gLiEUe+6550ilUofe4VEWpyyWt2/f5urVq1y+fJnvfve7imStXC6r8be8vMz7779/qIrU7WW50QD93bpTCvU5rwf03XpDFj59vLjhEflMT9nVryniLvgbtzi478F9jv8vLHclhmEsAk8CbwOTDxQ/juPsGoaRe7DbLPCWdtj2g23uc/1T4J8CKqXOrdz1iLz7i+gPRX844/DzccfrLpR7JdZ/j1t0dItPf8nuajM9WOKuyNRZ6mSySK6y44wCTXfv3qVer3Py5EmlZKTcvtVqsbu7qxr/yr2apkk4EsberDB0BnhDJtFciOnTWcJJh2Gnh205+GMWk9E4nbJFb7eOv7lD/OMmsXSCXsjEmE2Qz9h0Z4KYHg+Buo94w0eg0mdY6dIpN9l+YJ3pfVgPwVymyUG1Ru7kaW4dHGDOLBDwePAN+gTaRdLlLo495KDeZzoaYfKpFKbfS6fTo1pqUNwr02p2sTVlL89WcruFmx9QjUrGWThyf+IBuGMm7nxl3drSFxVZSM6ePUsymTzElBiJREilUmrsWrZFdCpExtcm/d5rmF99ki+Wfaz/2duEkwGeeuIZnD5ML0yrOMLO1ja5XI5h3aLlcSg7A5r04c03aa7uUJiMcCI7CSemmJqaolqtUigUiMfj5HI5Njc3+eu//muKxaLiirl//z75fJ56va6MjFdeeUXxDJmmqdIky+UyZ8+epd1uc/36debn57l8+TIzMzPKCJExKla6GBgSsF5fX2dycpLl5WUMw1B88+FwWJHQFQoFFhcXDxXB5XI5vvnNb6pnuLKywt/93d8prL7RaJBIJDh58iQffvghfr9fLTA65OE2Ctwybr7Le9Zz/d1jSMaWOxY3Lv6mewhuy9ttVLr/18ecW6fIZz+P/NzK3TCMKPDXwP/sOE79MS7BuA8eWWIcx/kT4E8AMpmM82DboZVQBo5kN+gPbNxDe3CfYx/iuPxRfXFwT2D3vvr53PepDyj3dbPZLL/8y798KENDJsM4i1FfNORHJpNcU9gGc7ncoft244qODf3GkFK9QXWtzdAeYnoNAjEfs7MnSF6M4E956PY6VIt1Sps1yvs7UPFibO5j2BD2eRj4DYbZKNX5JFyI0nGC1PJDuvEkwYIPO+TF1p6d7spGo9EHwVgolkrMzMzQ83jYHpr4UzkGnTaVzgDKLSa6NnhMuibE0glmZjI4Hg+ddpeDQpmDQolmo409HE3kSqVyKDVNuM71dztuPLnHzLgx5P6tW4aDwYBnn30W0zTZ2dk5RLYlFAE7OzsMh0PS6TSF3V2eCsV4JpFmGLb4yWf8RJwInXyP3l2LzdU80eUwDbNGb9hT9A+vvfoKqfkJnjh/Gc/nIzRWN8m2bKwvzDM9PaJms3JLPQAAIABJREFU9nq9ihP9pz/9qco3X1lZodlsUigU1H01Gg3effddWq0WmUyG4XDIwcEBExMTbG1tcfr0ac6dO8fk5CTvvfeeqlKdmZlRVAC6MtcXTPnd6/U4ODjghRdeUHNC+q32+30ymQwej4dQKDQ2dhaNRmm1Wrz//vtcv35dtfnr9XqkUilVkSzsmOl0WrGTCne+FLwJrKdz7XySUnVn4ch4GQ6Hhxpi68fI4u5eNHRPXK4tusKtZ/T6FH1ft3E5TrcdJT+XcjcMw8dIsf9fjuN8+8HmPcMwph9Y7dPA/oPt28C8dvgckP+ka4xzbVz3oD4bB5G4MTJ3dN89QfWHpefMyvnkmu5FRFcY8qJ0PFe/98FgQCaT4Utf+tLY84gVOA6n05W1GxPU7+1xL9yt8N3bDMPAGTrgdxgs9LDP9BmGuxghB0ww+x6Mtg+n4cXoeTGGHhwbBh6b+tKAyrkhxbDFPT/cc7rEOgaptkm04eDvO/gck4mJCTKZjHoektpomiYOMPR4KbR7vHFvAxybRDjMVDzGfDpBMhgA06DjgUguzYnFSWzDoF5tUtqv0mp0GdpD5QWJgnEbAfKdx2UYPG6CjMugkfHz7LPPKmItgGq1SjQaVTwvjUZDkao9+eST/Lt/9+945513ePbZZ/GFfDT7Dc5/4TzRUBSrPKB+r0l5vYEdHFLrNajYFdZX18iv5dl8Z42F0/N8kOqSSof59cVZFhYW6PV6vPHGG7z99tsMBgMSiQS5XE4962AwyOLiomrE4fP5iEQixGIxIpGIIv4aDAacPXuWU6dO0W63WV9fZzAYEI1GOTg4UPUQ7jkjhpeu4Ov1OoFAQLGbGsaop/HZs2cPPVMhkdM9gOFwyN27d3nttdeo1WqK0x5Gnq5U4AaDQS5duqRaPUoWlXgXgKLrqNfrVKtV9bekcopB4I7F6Epen6eO4yiPYtyYcC8UbqXuNuLkOjL/dQ6lo6x09+Lxn63cjdFd/B/ALcdx/q320XeB/x74wwe/v6Nt/3PDMP4to4DqCvDOJ1zjEOat37zjjAJ5usLWRQ9Quo/TFaFuhenlym4rzR3R1q1REfeqe5QL6F5YZJv+e5z75VbaOmQg8I5OziTitkrdOLF7EB6+Nw9GM4TPCOPg4HiG2P4BdriPk+pAaAi2AT0Tp+4h2vYTrZoslIMMDYeex6EetKlEbLZSQyzDJmgZJFoGiSbEeiYe4zBnuyyO6l16vLQHQ+6Xq9wvV/GaJvFQkGwkxFQsSqIdwPGaRAwvqbkcRiRILJnAGZo0q23arR6WZREIBNRzcD9L/TnJO9N7jTrOqOuUEJ65s59gpJhOnDihFGCj0VCc7IZhUK1WFePi3bt3qdVqfP7zn2d/f5+bN29imiaf+9znSKVSVCoVGoMGS7+8hGcbOntdynerfPTObTLNSXz9APFsjNZqF8fjwfCNxq5YqLdu3aLVanHx4kWi0ahqoCIFTqI8arUaMzMzilo4EAioDCPhJr979y6VSkUFXFOpFBsbG0xNTR2Cu9zEXnpBmEBlEgsREau+0+kc8rbk/gqFAj/+8Y/Z3t5WVaxwOAgr921ZliIjcwfDxRvw+/1kMhnVrUoWpHa7TaPRUK0nK5XKoUIp91yVbdKJyq2c9bmuzzX3ZzLuxkE4Ryn+cV6GsKKOuwe3/DyW+/PAfwfcMAzj2oNt/ysjpf5XhmF8E9gEfvvBDX1kGMZfATcZZdr8T85/QqaMW7lHIhHm5+cP4e9wmANGVj7dctYftqRz6cpPziXu5bhsCvf55Dhd6brTn9wvSK4t+7gXEVnQxpU6u6Ps7tXa/b97wRDlqT83/b71Z63jlmMXG2xMv4EdtPAmIJj1EMz4cYBOyaJbHNBbH+K1PKQsh6EBzYDNbtLHxmQIIxPEGdp4y10CB10CviEWQxwewloy4dVkNQwq7Q6VdodbhQMce0g8GGAqHuNEJkW86xDoGHhTcWITUezZJJgm9sCk2+rTbfUZDkYkcI4zimNIrYE+EaWzzsrKChcuXCAcDlMul3nzzTe5f//+IxPx7NmzRKNR8vm8UnJ7e3uKFM1xHMU/YlkWGxsb/OAHP8AwDBYWFnjmmWdIJBJ4vV663S6hUIh8Pk+pUiIzncE/5ePOhx+RtCY4kVxk9guTvPv993Aio/lQr9d55ZVX2NjYYH5+ni996Uuk02mVvRIIBFRao3DBCMNoJpOhVCrR6XRotVqKTtq2bWZnZxXLo/R5zefzbG9vK+4lGSc6k6OOvff7fZW1pBtO4XCYUChEPB4/VJVarVZ59913uXXrFsPhkHa7TSqVYmVlhTt37tDpdA7NYQnaSpvCcRlvbmNM3y4ptdPT0+qczWaTH//4x6o3sFtpGoZxKJjqVr5uz1nXPeOgFznnuPl7FFwkMs5IO0p+nmyZ1xmPowP8yhHH/GvgX3/SuXXR3Wb3TUv6kY5X6Q9u3Ms8StwvRv7WFeI4IqxxeK2uqGW7e3DpUJH8ry8icl7ditUV/lGrvP63blHp19YHi3v/cX/r38e9AOj37jgOTtmBqoMRcEiEhgxOdRn4u5hBMIce6Hhx6h6clgez7WPYcuh6HeqBIQenLOohm/dMG3/fob6fxNxKYVQ6OF1LWSj6MxIYoNzqUOv22Wq0MRyHiN/H1fNnmQgHifi92B4TJxZmkAwyyIaxBjbddp9WvUe72Tn0nC3LYn5+nmeeeYYzZ87g8/kol8tYlkUkElEUFaurq2pRN02Tq1evAg8XbrHsotEo/X6fg4MDlT547do18vk8p0+f5vz584rrR4i6BPIIhUIKMtje3qY37FGJFKn5ygx/alHy7+MwggY2NzdJpVIsLi5y+fJlFWz0er3s7+9TLpcPwRqxWIxAIKAwaxhROwh1weLiIidOnCCXyxEIBBQ0YxgGmUyGzc1Ndd+i2Hu9nhrHbj6YRqPxyPzRlZSeB//Tn/5UtbYLhULkcjkSiYSChsQDEF4b2U++hzvQ7pZx8IU+J2VBGnec/lsqoPXjdAPucfNLN9T0847zLN2Li24Eiui8TI+TT0WFqh5tP8o1ETlKubmt4qPEff5xD3mcMgYesdr1ax/lYsn9uBWtiG7Vu5WpHKsPJLdlr1u6+ufu+9D31ffRLQj9+vogdh+jnsvQwek70DCAEIYTwPAYOH4bIgOcqIWT7WB7HegbBJoeMnWTTMkLAy8WDt2QScHnx/vZRbzJCM5gCIUmzk4VJ1/DafSwmj11XyoY9yCA2e71uFOqstMNY2IQ8XqY7gzIRUP4TYOBx6TnM0lMRhnMxGh14lRLDSrFOp/5pee4cP4C7XbnUAcggQLi8ThnzpwhEAhw7949lWp59uxZbNum0+komExqFCT4J/j3b//2b7O/v6+U7sbGBk8++STpdFpdMxaL0Ww21cIjvOd+v4/kk1HazRbtj5r0O31lQZ48eZJEIkEmk1EBxX6/z+rqKh9//DH9fl/h/4JX7+/v02w2FXW0x+Mhk8nQ7XZJpVIUi0XVfEOYIw3DoFgsUigUVPMNGTfjuNh9Ph/5fJ5Op3OoDkHGeb/fZ319nTfffFPRSUtsSr7LwcEBhmFw8eJFPvjgAz772c/yve99j3Q6fYhzRu/mNG6O66KPYX1eG8aoibhuYOmGpByj13u4FbY+t93wra4jHnePbmt8XNDV/V0+ST4Vyr3ZbPI3f/M3CrMUfmrptC780lJoIS9TJ5qSlyKfieUkK7t8ritH+dFXQndv03Fulv6jLwgwPpdWZBz+7r4f/QXr53T/rQ8mPXdb9hnn8jmOcwiGkmuMG3j64nrUguH+zLZtsIAuUDcAPw4+DI+D4x9iRIc48S7GtI1jOPgsD76Wl0h+H++Pb2HbJk7EjzEVx3MijXl1nqHjEKi2GW6UcXZqBFpD6I8WnGAwSLfbpVqtjjJWDINa36ZZqZPvD/F7PES8Jkmfl3jTxO8xiDIkEgpy5tl5Tl1YotOtYmFTa1YJ+EYNIMRr8Hq9xONx5ubm8Hq9rK6uKrpdoW0QRSPFXaJMvV4vr776KoVCgU6no7JFvvKVr6j0v06nQ6k0KkZqtVrACFe2bZvLly+zvr5OKp3i/tp9ZmZmFF4tDVVM06RQKNDv9ykWi+zu7vLWW29RqVSYn59X3kGpVFL0EvLe5flZlkWlUmF7e5vp6WnVd9i2bZVmmk6nWVtbUwVSYrnLb3iIqR8cHFCv17l27ZoqwpMxt7e3xzvvvMPu7q6y3qenp8lms3S7XXUflmUp+KzdbrO1tcXk5KRakOS3aZqH6izcBtu4eThO4cq7cee46/okHo8/Ml/dc8btMY+7ntsjcHvG7nO5/3d7HY+TT4Vyt22bP/uzPzu0crrxbn11HteHUzBb/YWM+0wWBD0Qq6dL6T8ySfXj5LxuzF9EV/z6ed2umR4c1ldpN0bnfk5yrA4TjINV3P023YuHu3vRuIkxbgC7Fzu5ntyrnsYpeKzwuciE7vd7dKwOTmBAOOcnNhPiuf/2PL6Aj2axQ22nReXjXYqvVOgPHTy5OP6FNJ5fOYcZC8DAxig06d8/gM0ijW6bSe07yLUcn4+B46Fmje7JaxgEDYe4x+CJM9OEix262JQHXdrDFm2/j2AwTJAIPjOEaY6eWSqVwrZtBRtIj1AZA81mU6XkVatV9X4ajQamaTI3N0csFlMZG0Khu7GxQTgcplKpqCwQSVMURkcpYDt58iTXr18nGo2ysrICoKgGms0mu7u7XLt2jcFgQDKZVJZ6tVpV1LhSzi9j0bZHFMJer1e1xZPryvnr9RH/kfDEC22vBCElxffg4ICDgwMCgQBXr17l3LlzavFrtVq899573Lt3DxgtYNJab2JigkajQT6fp91uE41Gef755/nOd76jCpp+8IMf8JWvfIW33nrrUFxBrPbh8DDl81Hjd9w4Ns0RdbE+l3QdIot1NBp9REHr13Jfb5xeGPeZeED63Hcbe3I/+nxz64px8qlR7kI9CuMDhbpCfZzy+aQv7D7efa6jlKH7RR3lZrlfjPsz/Rzube5zjcvN/XnkP3V/t/ynXudxn4/DGeVvfbs/6GNqbpLoRIjodJC5qxnOpGcZWjbdap/adpvaT+7T7zgQDtJNeLEXkwSuzmF4PdT9MYLFHuZeE8od2p0OgeHwUJHMECh3+0QXFpj+zAuYjk2jeEBr9S7+WhOcNnagRT/aoB8J0sdh4LUJB2JkzDS2Y3P16lVM01QdsbrdLs1mk2w2y97eHtVqlUQiQSgUYnl5mVqtRq1WY319ndnZWc6cOaNaxEm1b61WIx6Pq7aFsVhMQRypVIoPP/yQdDpNqVQiEAiMOIceNLAOh8Ps7e3x9ttv4/P5SKfT1Ot1yuWyukfhaJdnUavViEQiityr3+9z+/ZtdnZ2yGazKsAqfXLFuFldXVVBTDm3BKdlgZPgrmTr3Lp1i1u3binueWGBPHnyJLdv3+bmzZv0ej1Onz7NtWvXsCyLZrPJ1772Nb71rW+pLJWXXnrpEMzT6XRUkZZY+m7Pd9w4dc9ryaAZDAaHWuvJcbZtKwK7cbpAV9SP0x1uxa3f57jj5f9x53Rb/0fJp0K5O46jUp+O5aG4s1z+/yyDwYDqfp1GqcXw5pDBcIDf7yMQ85OejZNeiLNwZYpA1E+v02N/rUR564DqT9fo9h36pxbwnppm+PQUTtCD0xvgL/cIlfoEqhZm3ybg8XHx4kW++tWvknigtCKJJKGJHBvr6zSqVYxuG1+tS6jeJ2qCHfRjezoM/BbRjAczZLGxs0qj1cbqDSiXy5jmqE3gxMQEwWCQUqnE6uoqb7/9NktLS0pBbGxskEgkOHXqlPIucrncqCJ1OGqAvbu7y/7+vmqWIUReQlrl9XoVnNNsNvnoo4+4efOmom6u1+sqDXP4YHFbWFggEomQTCaJxWJUq1Xy+TyNRgN4GMe4fv06n/3sZ1UbuU6noyCvZDLJ5uYm29vbTExMqPsVg0vOK0HctbU13n//fTqdDp1Oh36/z9TUFKFQiImJCd59913a7bbqxiQL4draGuvr6+zu7vL888/z/e9//xGOGbGkq9Wq4pcXyBYeNSLcRqH8LXpHWgzCQ69XFL9t249wuOtwiDuY61a4Rxl6boPn5zGUxhm8j5NPhXI/lmMBVN4ygGmYDAc23VqfYqdOZa1FOBIG06HRqxHLhUjOx1h4apJwPIgXP07LpnFnj07Tptkf0kn46E3HmPrl04TCEc5NL3E5tYBJBMP04sPEMxx1Fkokk/QtC8vvpzsY0LFt/KZB1GsStWz89Rbx4ZBQscJG+xq1QY8BBpFwDH8oRGFvl2ajpRg0JetmMBgoy1l6wFarVcLhMKY5Yr8cDAaKk71Wq7G3t8fe3p7CgXu9Htvb28zOzrK9vc3m5iZ+v59r165RKBRYWlpSMFC/31eFVfPz8wSDQbVQTE9P0+12FeNnuVwmFouRTqfx+/0Ui0Xa7TaBQIBOp6NwebmPVCpFPp9XkIqbG7/X6/Hyyy8rVlGxiqX36enTp/noo4+4f3/UiD6bzTI1NcXLL7/MzZs3mZ+f5+DgQKVqvvTSS2SzWcU6CSM2ScdxqFQqh2hLJMDqVr6f5GG3Wi1FSaFDs7roHcfGefvulGi36DCQ+xzuIO84q32cJ/64DCGRY+V+LJ8KEUWi503LJBNFI8G74XBIt1Jn//ao8jI7OUEsEya7mCZxIkw24SEUCeAnxPkTl7h08mkGlpfdTp2ddpWfeQtYHgh7fEw6YSYGXpr9FpYzHPW+9XgwvF4coAH0g2GcQIRsMsnKpSco3LuLr9yg3WlS6m9jRwJ4EzGCST+GZ8BOYZPpmSkuXrrI5UuX+eEPf8jt27eZnJzkhRdeUNDK5OQk4XCYu3fvqrL8ZrMJjFLvotGoCpiur6/z1FNPKchF8OuJiQkcx2F+fp5bt24pZTs3N6eYM6VJtmSxWJbF/fv3mZyc5NKlSxQKhRHhWTzO1tYWqVRKBUJF4ZVKJZUWWSqVlIIXa1oWFkmxlG5ZJ0+eVF7EG2+8Qa/XU52h3nzzTf7Fv/gXvPjiixQKBV5//XXOnTvH66+/zvz8vLqGMJDOzc0RCAR4//33mZiYUGPFcUbUE8FgUMXF3ApzXMaa4zgqY0dX1O6eq4lE4pAyFjkqWCuiW+VHZcy5Fxs9OcJ9Xn1O/MJkyxzLsUSjUb74xS+qZiGlUolGo6GsKreFowfN65UGtXKd6m6TXC7H5//B5/nK5/8rwqkgtWGJkrNDz9fG9NqcGPg42Q1BJ0BnaFI0OrxnVdnLNLGTQ0JdSDYNEm2TYBe89sP6gfnlZYK5aaKmD6bm8NSqlG/dZNoXxtqr0RtW6HkNekEvlbqN4+/x1vuv0WhV+ebvfpOXXnqJVqtFLpdjZ2cHGLF/Cme54M2WZbGyssLFixfZ3NzEtm1SqRSFQkFZ1wKVxGIxer0ea2trKhdcipAEow4EAgQCAfx+P3fv3uXevXvY9qh5eb1eJxwOMxwOqdVqqiG5nBdQBGO69S4VusKGGYlESKfTquJT7qPValEulymXywpKyWQyBINBYrEYN27c4PXXX+fs2bM0Gg3eeuutQ12ZJGZw9uxZzp07R6PR4P79+6pZu674LMsiHA6rTB65dxknbsUqBoM7wAkPEwPku7sTCfS/daULnxwjdHsXso94rXrA1L04uRNNHifHyv1YPhViGIbq6jM1NaVcbeG2F1fdnYomSiAYDPLlL3+Z3/qt32JiYmKE5TYGhAYpfIMYDja2MaRntul4GnQjRYZGn9hgwMlyn/mqQ6dtUMehEnDYnQLLM+pyl2gZpNsevMkIzW57pIiHQ9qDIbH5E0zMz+M1TYa9LvXCLu2DAq1Kmf1SkXqrxi899zS7xbtE0h4M/wDL7jE3P8dwMOLMr9frJBIJtZg5jsPa2hp+v1+lXAqkEQ6H8fv9pNNp1Y1JYJiDgwNmZmZ49tlnAVhfX8fv95PP5+n3+9y6dYutrS1mZmaYm5sjHo+rphmtVotEIkGv1yOfz3P27Fm63a5KpxTMeW5ujg8++IBWq6XgCAlECuWxBIpXV1cPkf79w3/4D3n11Vf5/ve/T7/fZ2VlhVarpZgrV1ZWmJycZHV1lXg8TrvdZmlpiWg0qhqOhEIhLl68yFtvvXUowArQbrf53d/9XYbDoaI8LhaLVKtVms3mIUtbsmyEVVVnaZV9DMNQVMgiR2WqjFsgxlnq47D2o5IO5LzuY38eqx2OlfuxfIpErBfHcVSQLxwOMzc3p4qGarUa5XKZer2uUiwnJyf5l//yX7K4uKisX7FygAdutoEzBF8/DJYPsx+h023T7dQYGjaEuwRyFln/kAkLnJ6JVfXQ7ptUTShNBfjb4AZ0N4hgEHdsYh6IhUYZKI5hYASC+HNTeDJZMl4vK6ZBt1xk7WfXqa7fh2YdOxgm329QricJBCN0un36gy7D4cP0wpEi/BL5/K5iAJ2bm+OHP/whzz33HJ1Oh0AgoDDjWq3Gzs4OlUqFc+fOkU6nVX/cwWBArVbj9u3blEolpqamFMwQCARIJBJsbGwoz0ByyxcXF5UlLrw5rVaLWCxGKpXi4OCAbDarIJFQKHTIkh4MBqRSKU6ePMk777yDZVm88847PPPMM+q8Xq+Xl19+WdEKG8aIpmB2dpYnn3ySarWq+sI2Gg2GwyHRaJRz587x5ptvHrJeTdOk3W5z+/Ztnn/+eaamprhw4YK6P2nQfXBwwP7+PsViUSl+y7JUK0E9RdkwHtIOyPg8KpDpzrIZp+DdwVP997iMOjdkA4c92GPL/Vh+IWRcypjOvQ4jeGF6epr5+Xkcx6HdblMoFPjc5z7H1NSUyprQSanktxTZCHlVt9ul0+k8cMtNhvsBHPwjC98zxIgM8MaHJNIWcXNIJh3hQihMpwX7gz7rZpNrgRqBeISEt820E2HaDhM2wOPYMIRSpcHLL7/CzvY2J5eXqfUcgvkak3ULp1DHjEcIRgIMvA6F8irtXp9ochQw3C6tUm5UAYdsNsv+/r7iU4FR8Pnu3bvKKk8mkywvL6vWiFIIuLe3x/7+vsKOpRJUajjy+TzZbJaNjQ22trZUkeDa2hrnz59XCqndHnksknd/cHCg0iRDoZBacKSU3+/3c/78ed58801CoRClUonhcMgf/dEf8Wu/9mtsb2+zs7PDlStX+OxnP6t4fwKBACsrKwpKEi9AAsVicedyORzHOdQwJBgM8tprr7G0tKSKynw+H6ZpEo/HSaVSnD9/HhgtPgcHB3z+85/n3Xff5d69e9y5c0eloMoYjEajj4zPcZa1W6GPU8w6rKLTJowL+rrng8g4SpKj5Fi5H8unRvRiFH0AC+YtE0sms5Thnz17VqW1iUWrwwVSJi/VztKDVbBZtzXkWAZO14dT9DKiTBty4gvnCQ+iNAY7+H1VTvmHnHWCeI0Q/YGfEn1uGC1K4Q7GwCFqebh37af4zC6Xn3mKWChCtdXgYC5FOJGj3x7SHA44nZgh2ajRKpao9dosJoIE5tOETJNIr8VMKsipi1f4+1deUZa4kG9tbGwwGAwOQRdCu2tZFltbWxSLRZWZE4/HSafTquK71+vh9XrZ3Nzkzp07qhPT7u4uw+FQtdkzDENlvYRCIYLBoGJUlPOVy2Xi8TjdblcFYNvtNqdOneLs2bP8+Z//OTs7OywsLHDt2jVs21Z87Ol0WnkH4gUAKhYh2USmaapG4F/84heZmppibW2Nmzdvsr29jW3bHBwc8MEHHzA/P6+47iVNUn5kYYvH43zmM5/hl37pl0apuNUqd+/e5d/8m3+j8vh16OeTsHU4Gjo5SoGLiNJ2n8uN14/LrDlKjpX7sXwqRFfaunvszhwYx3ApwT7HcVRmDTycjML3HQwGGQ6HipIXDk+gcRPJsR1wDKbis4S7YegECDVq+IM+nMCQrqdJ21sna7ZJY2MMvHQHJnUDAr9xhR2nzubAoHRzn1W7x4k5kw1rjyvtCGenFgjMzGOaJ6Bex1uvkav3sFo9AnYdj9cgaXiI2qNmF6FQCMuyFFY+OztLKpUiHA6rCtl2u829e/fodDrk83kymQyhUIhWq0U6nVYWrtfrVZ7P3bt38fv9JBIJgsEglUqFvb09yuUyy8vLCo+Px+OqCcbMzAw3btxQNLjCcCnvKBqNcuPGDRYXF/nbv/1bms2mavcnyjuTyfCZz3yGcDisCqUkQ0YCor1ej263ewg2mZmZUZ9NT08TjUYJh8OqmEwWGCEk06EbvWJcz6wRT7FararqXccZsXu6KTbG4eXjoBI3hq+PN7dyH5dpo/92B1k/yWqHY+V+LJ8SGQwGqrOStO1zk7O5rRXbtslms4pHyO/3q+YTMoH1xUK4X8RVl/O6qRP0azrOiDQqEokoYrGBNSQSjmIMDPxWmDg5HMPBcvoMPF1K1h5efwuvfw/rvQrVSpt+E8zpGI2NPWZnZ+kEYG5uTqXdmV4v/kSSL/8338CyLGrrH9MuV+hONbi+u68oAnw+n4JFPB6PosOWas1kMqla5k1OTnLq1Cn29vbo9Xrqe3s8HlqtFs1mkzt37ihed5/Pp6h5JdCo87kUCgVVkJXJZIhEItRqNdWkRLjca7WaqoRNJpMqBjI7O4vf7wdGKZzPP/88oVCIXq93yMuSIKtQJsj7gFH2iyxict1oNMrJkycpFAosLy/j8Xio1Wp4PB71vfSMEz22IeNgMBhw+/ZtNjc3D32mM9Lq9+HG0mF85bq+fRwvja6s3QHYcZ4BPL55uy7Hyv1YPhVi2za7u7sqa0YaPgSDQdXAWfaDh0Rxs7Oj9ryi4CTDRKgBBD+VCSXpfMFgkP39fba2tuh0Oo/cix5Ym5mZwTRNlVctXsIhS98Gr+PDa/uIt8FuDhm2wGPWCEc81D9s8o2Fq2x/zkui6+Ezk1OH7s3v97O7u0s+nyccDjOwbIZti74vRNf0qmvHo6HmAAAgAElEQVT3ej3FPOn3+8lms5imSaVSoVqtqiBntVrlmWeewTAMhUsHAgGSyaQ6z40bNxRen8lkyGazigwsEAgQCoUoFAqqeYlt24omwbIsZmdnuXHjhmqZZxiGwtxt2yYYDPLtb3+baDSqGCX7/T5nzpx5pDOTfD+/368Uvu5pOY6jetYKNbLAbAcHB2q70A23220FJUWjUQKBAPv7+0ph62SEgq3HYjF+/OMfK6UaDAYP4e/yrtwKXcbjOMNAXxTckI7+t9srkO3uQO3Pg7WLHCv3Y/lUSDAY5MqVKwpTLZVKChuVSSyFNoK/hkIhstks8BCukUkr7IqSKummSfX7/arVm2DX4o5blqUUrsfjYXp6WuV0W5Z1yJ13Z0CIZdvr2cRqk2R7PSbiOXL/9RS9Xo9LbQ8Bnx/Td7iqUV+oLMvilVdeYWZm5gEOvqrS9uQ7zs/Pk81mVe54LBajXq9z+/Zt9vf3CYfDagHb3d3l4OBAcb63Wi1WV1exLIvFxUWmpqZUcw7Lssjn84RCIWXhSzBTipSEtkDw91qtRigUwuv10mg0VGqleBbyfmzbJp1Os7KyogLf7XZb/a0HvX0+H91uVzFaZjIZms2mWrjleYilL4FWYbmMxWKHmqLI4nzjxg2azSahUIhMJkMqlVKBW92SF2hJJxMbx6Aq4t4+rifEOOhFx9ndC4bbqnd7s78QrJDHciwyeFOpFOl0mn6/rwqaRFEII6AM8Oeee05BOFLJKEpCzicZMW62Tyn9P3XqFJFIhK2tLUqlErZtq9xz6TcqBT2SnaHnPbsnrGmaiuPF6/GylB0xONq2TSQSOfRd3W68XspfKpVYWVlRVriU1y8uLiqGwnq9TjqdVqRlxWKRcrlMtVplfn6era0t9vb2yOfzKu88l8uxu7tLIBDgzJkz5HI5FagV5Sx8KmJJS+s9yQWXylThhBHrXbdSxZLXv282m+XKlSvKYpYFVUQIvKLRqKoclYwXOVcikaBUKilqYmmGLRb21taWij90Oh0WFxfV+W3bZnFxkU6nQzKZVARu8r0k5tBut5WXohcRuaGZceIuOjoqbfJxVrj7GLfXMG6fcXKs3I/lUyGdTocbN24wMTGhcpulYcRgMFBl99LUwjAMlpeXlYUtCl4gHAnS6ZNBp3mWc0ie/NTUFP1+n93dXarVKi+99BKO4/D0008r3nBRakdNWH1CS3NsseSPSpMbN8GFkyUSibC/v0+lUlGLljTiHnkHPe7evQugWgLOzc2RSCTodDqKp0UqRrvdLq1Wi2w2y+zsrGqSDaNuZ8JwKVWhgFqoJGtElGEymVSQBqAybzweD8VikVQqRafTUamSAOfPn1cKU5S6xEvkPYrHpQfIJR1R6BlKpRK1Wg2fz8fp06ep1+uKSE2MgUwmoxqY6DCaGA56mqRINBplYmKCra0tpdzHvbNxyle3vj8pk0XvmHbUfuOCre5tx5b7sfxCiOC19+7dYzgckslkVMGM5CjLxGw2mwQCAbLZrLK+JP9arNxgMKiyQnTFrk8mwZ4Fjw4Gg6ysrLC4uMjVq1f50Y9+xJkzZ4CHk2mcJTdukkpDaf04ETeM44Z2arUajuNQLBYVSdjMzIxqvFEoFJS1Wa/XVRWvWPOyn5B7eb1eBUNI6uHMzAzNZpPZ2Vn29/cVBCLW8MmTJ9X3DAQCh4qiBLKR53nmzBnu3r2rOiUJROb3+1Xrv3a7zZUrVxQPTTweV5QI8k4Nw1DdmPTFOh6PqwV+d3cXj8ejLHLhy5FjZewsLS1RqVQol8ukUin1/HWF7qbUFoI3GS/iaenjZlyAU+CSccrWnT2jLw4C+cixbgPADdO4z3mcCnksvxBiGAaxWEx1/xkMBopHpdPpEAwGCYVCKtiaTCaVBSsQgbjm0vxZmjrojVdkcotil8rHbrerrFOv18sTTzzBlStXgNFkkoCiXKNUKvGXf/mXrKys8OSTTyqlMM7N1ie+W8m7FTugerDu7e1hmiaXLl1SreAWFhbY3Nzkxo0bh4q0hPpWlKQoWeFkz2azxONxpqamiEaj1Ot1tRBI9a/QAItSlXsKBAIKppJgs16PMDs7y927dxUsFgwGKRaLqh+r8L18/PHHiszMsizFiClwVyAQUJi6BGTF47Btm5s3b6qUyP39ffX+DcMgGo1y//59YEQ/XKvV2NzcJBqN8tRTT6n3pmdRjQt6zszMcOvWrUMeh55ZJd9ff2fyv973Vx/X+vse5625LfNxlv+4/PdPCqweK/dj+VSIzgpp26MWd1IB2e126Xa7KsUuk8nwla98RU30RqNxqNGCpA32+30VHBUFHwgElFUtbIPtdpt+v68gj1gspqx+vY0jPLTcbt26xfXr13njjTf43ve+x1e/+lWef/75R1q+ieiwzVF4rExYvao0nU7TbrfpdruqG9jExARTU1Ps7++rGIRYgF6vV+WIT01NMTk5qVghhe1RnqMseAcHB9y4cYN8Pk80GlWdoGTRlHhGt9tlenr6ESvVNE2Wlpa4f/++av8nMJJAKuFwmLW1Nc6dO8fCwoJqWyeNNiTlUYKsklMvRGoffvihWuRPnjxJqVRiMBiwvb1NMplU2UKyAFWrVQzDYHd3V8UMRGnK/cuPiPDGW5ZFKBQ6RDXstrp1ZT/uc91b1N+32wD4JMhHnq/bCzxW7sfyCyPSrBlG2SLSREGsON0d/tVf/VXm5+eVpSRsgDLoRbnAo8Uj/X5f9QGVdm8SSGw0GrTbbcrlsoIDpGBIziHXfPvtt1VGRT6fZ3NzkzNnzmAYhsKjjwrA6VkS4yZzPp9nf39fNeXw+/1KEUWjUSYnJzl79ixLS0vKSxEvpFarUa/XmZ2dVVQDMzMzil5Y6glWV1dVHKNcLgNw4cIFVeUrIl5OqVTCcRwmJycVjGKapoqNzM/Ps7q6eiglVf/ePp9PPV8JvkogtF6v02g0CIfDhyz61dVVNjc3VRbP3Nwc0WiUWq1GoVCgXC7TbrcxDEN5AGK1NxoNotEoxWKRO3fuKOXuVqBumG5mZobBYKBSSuUZuN+V2yLXt7mVtT4uxwVH9X3H/a2L+xyPk2PlfiyfCtGtOMmmAFQKotDPfuMb31B4q6TqiaUPDxXwuDJxXemLQhSrUfLqG43GIU9BXP4TJ04o2ObevXtcu3ZNue0XLlxgenqa3/u93yMcDvPVr36VJ598UqUKSqqf7m6PUwSi8Le2tqhWq1SrVZXGJzn/5XKZF154gVwuRzgcVgpb8rolrXN6eloVJwWDQZUX3+/3FbWvcMUYhkEkElHUv4lEQj0vub9cLqcymAQWMwxD0Q1LQBNQFLmiFOW7ifcAqAB1p9OhXC7j8XgO9dqt1+t8/PHHlMtlJicnWVxcZGNjQ3kw7XabEydOMDk5qXq9StXt3t6equYFeP/997l69aqqptWftxsTP3/+vOKX1wOfEkcYp3iPgtr0d60v6Ppz1a89DqrRt8sz1Y95nBwr92P5VIj08bRtWwVRhZFPrPpf/dVfVaXnlmWpKk0dkhEF7sZIRQQuEGxXcGLJsJEq11arpZS85NWLVXrixAn+4A/+gNXVVf7+7/+eF154ge9+97vE43H++T//55w/f55ut0u1WlUZKHI/wp8jkI98P3iocH7nd36H/f19ld4oGSCixG7cuMGFCxfIZDIMBqNWfxKQ7vV6NJtNlcMtCtiyLMWtXqlUFM2waZrqPqXlnShueKiYxDv66KOPFPWy1BkkEgkWFxdZWlripz/96aHG1aLkLMvixIkTTE9PK0oA0xw1p5Zz7+3t0Ww2SaVSKkA8MTHBuXPnuHv3Ls1mk2AweEhBmqbJwcEBlmWp7JqFhQWVB7+7u6vw/i984QuqSEtX2PI9TdMkEAhw5coV6vU6a2trhwrc9ECsu2jpqIC5Lu4Yi9urlHiAeKjirelwkn6vn9SG81i5H8unQkzTJBqNsre3p6xJyXg5c+YMv/7rv042m1WZLYZhKKs9lUqpgJxYyBJQlImk84lIt3spenF34tGzbCQoa1mWglpCoRDnzp1jZWVF9UO9ePEik5OT9Ho9XnrpJXZ3d/nggw/IZrN8/etfp9FosLi4qIKJ0hFJsGwJyMEoLfHcuXOKBhdQ+HOpVKJYLNJsNrl9+zbdbpeDgwPK5bKy8rPZLOvr6yqLBGB1dZW1tTXi8TiTk5PKU5Jm1sIlr5N06QpK4BS/38/i4iK5XE6lLAqlrt/vZ3Jykv39/UcItyTgLQuIeAmWZZHNZhWlQLPZxOfzKfqAy5cvc/v2bSzLIhqNKmscULh8o9EgnU4DKLpjeU4SMP67v/s7nnzySRUoPgqvFgqGwWDAqVOnKBQK6p7Fs9Dz82Vsyfgal5WlX8+N2cvfbkhGV+pHwTfHlvux/EKIQAOZTEa5xNKo4mtf+xq5XE51qBdLW9IDI5GIwoll4lmWpfBYmUgSkNQtL7HgZLsO4UgxS71eV9skg8MwDKXMvvWtb7G5uclgMODdd99V1LHLy8tcunSJfD7P3/zN3xCPx7l69SqXLl1SBTO6tSb3LZz0/X7/EbgqnU4zOTmp0gzFMhfFL9a9pDXKT7PZVD1cJZVRgs5CN+D3+6nVaopPRU8VlMpcv9/Pzs4OPp+PTqej0iNt21aKf319XX03Od5xRjnm8gxNc9QFqVQqEQ6HFUe/cON0u10SiQQ3btwgGAxy4cIFtre3KZfLalFpNBqKKE6s7r29PQ4ODuh0Ogq+8Xg8lEolPvroIy5evAhwyLvTRbJ92u02pmkyOTmpKnJFHMdRyl6eodAn6BTEOo2Fvgh8UiBU5oPb0hd5XKWsLsfK/Vg+FSIVozK5JZB68eJFTp8+raoVRQl7vV5yudyhgiQ5j2DwgtWLMhC6X9M0VUBQrErZrit8UZyNRkPl0wtPumma3L59mz/90z9lc3OTZrPJ5uYmsViMxQeNLl588UU+/PBDvvOd76j0ve9+97u8+uqrnDp1SkFPiUSCVCpFMpkkEoko+ls9CCdehEBFkuEj39kwDFKpFHNzc+oeBXZqNps0m00qlQq1Wo1araawbUl9jEQiCi4R6EOeQavVUs9uMBgo61o+F+51iV/kcjmVOilKKBwOc+rUKfXsRClmMhmVISQLxMHBAcFgkIODAzKZDFNTUxSLRUzTJJVKUSqVME2T7e1tFdSNRqOUSiV2d3cBlOcXCASoVqt4PB7eeecdzp49qzwwt+LUMe39/X0VGJf7dY8z+d4SzJdzSJaRLIoyDvVFYFzRk/4j4oZu3Jb84+RYuR/Lp0JkwAaDQRKJBJVKBdu2efHFF1VKmih3+XHjl3pqm24pwUNyLlFc0WhUYcf6xNSbLofDYYW9S3BTPIdms8kf//Efc+PGDUUHIDwmfr+ftbU1fvSjH/Hee++pe5f0QqnGlT6iorRhBMnE43HVWGNiYoJUKkU0GlULjB48lgwgWZRqtZqyGMXa9nq9pFIpZmZm1P0LBt9oNNjb26NQKFAoFJiYmFDwEDxsajExMUEwGFTUw/fu3WNpaUndd7vdVtkqKysrvPrqqyrgPBwOWVxcVKRllmUpxkidgXJ2dhafz8cTTzzBjRs38Hq9VKtVhsMh8XicbDbL1tYWPp+Pfr9PIBBgeXmZSqVCoVBQtAqC4QuFQqPRwOPxsLOzw/b2NnNzcwrCGleQJM/f6/WqWgHx3nSY7yhoRfcCZSHR9xWDQocG+/3+IeXvhnJ03P1YuR/LL6wkEgmKxSJPPPEEly5dOgSlyATSlbKe0aCnn+mTQao0BcqQFn5Sbi84vc5L4/f7iUQiNJtNVckqk/Hb3/42d+7cURQDlmWpxtOSX/7BBx8osi7JFhGLV5S8cMYIRl2r1ZQVKx6ILBjCqT4xMXFI6UciEfXdJNNF7wna7/cV9UClUlG4tQR0Z2dnyeVyrKysHMKTDcNQn+vPNRwOc/36daanp5U1n0wmVf2AYRhMTEyoYPTExARXr15VFqwQfYkXsLW1pbyQnZ0darWaCjwbxojzJRwOs7u7qzhuPvroI2zbVs3Uq9WqWkxyuRyJRIJ79+4p3v54PI7P5+O1117j6tWrTE9PqyYmbgUv0JVY65KpJPc4znqWMehW+u599Wwu3aARkfvRlb5Y/zI+5eeYfuBYfiFE0vKEnjUcDvO1r31N5UTrqYRipepK3O2yCnQjilusdnho1SeTyUP4qWQfyDl9Pp9yzSV10HEcNjc3+fa3vw1ANptleXmZ999/X2VsFAoFhWG7MzLE+tYnr8/n48knnyQej7O+vs7q6ir5fF5h7ZLy2Wg0Dj0Ln8+naBPC4TDJZFJZ/JJxFA6HCQQCqpRevpsecBaYp9PpqIIpQGXyCMcKoO6n0+mwvr7OqVOn8Pl8VKtVFeDOZDKcP3+en/zkJwpqS6VSyoOJRqPqHAcHB1SrVZXWWa/XmZ6eZm1tTSnM3d1dQqEQMzMz+Hw+7t27p86zubkJoILsc3Nz9Pt9NjY2FDadyWQUffDBwQEbGxtYlqWojvWaBDkXSO9dW0FS7q5d4yATGV/u8egep/pxuvLXA8byfvXx7rb2HyfHyv1YPhUiZFRiaT399NNMT0/TbrdJJBKHipLEItfxSflct2YEt5byfMnsEMxTuN07nc4hxa5POOG0uX//vkrxe++992i320xOTvKP//E/Zn19HXiYKidKMx6PUywWFV4uk1SycWTiXrlyhVwuR6PRIBaL8eyzz1IqlVQRj1j/gIIT9IXDtm263a7iK5d9PJ5Rk/FYLKb4eZLJpOJkl4VG2uflcrlDaaACFfT7fTqdDp1OR/Vo9Xg83L17lxMnTihaB3l+AuMISdjp06cVhYDea7Xf76uceFmAn376adXIW/DzRCLB8vIy+Xye7e1ttfjv7u4e8swEuxdOdxhZ8X6/X+XnnzhxQpGk7e7uYlkWExMTCkMX+MwdTBYPqt/vH5mlIu9XV8SyXd9HhxH1MSfjWM6jn1PfJmNNPJWj5BOVu2EYQeDHQODB/t9yHOd/MwwjDfwlsAisA//EcZzKg2P+FfBNYAj8M8dxfvBJ1zmW/7JFLHdRNk888QT37t0jmUxy6dIlZaHq0MxR1pA+ufSG2dI31R3UisViKs8bOKSEJf1OztHr9bh+/TrBYBDDMMjn8ziOwxNPPMG1a9dUD1A3PiyLjGGM6BQEOzdNk/n5eaVUbdsmHA7T7/dZXl5maWmJ69evq2Ao8EhgWZSSTrEgz0QKgnZ2dg4tWmLNR6NREomEIhTTs1xkcZDnIHBBvV7HNEcNQra3tzl58qS6nljBxWKRubk5CoWCghqkgla8iXK5TDgcZnFxUVFBVCoVBoMBZ86coVar0Ww2aTQa3Llzh2KxSDKZpN1uK856ycKZnZ3l7bffVoFkaWQCI8bKnZ0dOp0OmUyGDz74gGeffRaAcrlMIpHA7/erdFexmMUTE09P9pExMs7yljEoMi4I6t5fzuHeritzfR+9MOxx8vNY7j3gi47jNA3D8AGvG4bxfeA3gb93HOcPDcP4feD3gd8zDOM88DvABWAGeNkwjNOO4zw+4/5Y/osWUSTSgUcCn7FYTFUeCv2rruR1ZQ8cCkaJshN8VwJ3glfq1pooYeGi0ZWm4L+AsgpDoRCNRoOXXnqJ8+fP85u/+Zv4/X7eeust+v0+H330EcPhqMGyWNiieAzDOJQvXa/XGQ6HLCwsUCwW2d/fV9ZzsVjk8uXLbG9vK752aSUo31cobPXnoadrSoNoeQ6y0AnHjIhkvugWvWQISQZPMBj8f9v71ti2zvTM5yN1ISmKN4kidbMsWZbvji1fYiWxM42bTNxxxh2km3bRAlmgg+kNxXT3x24HBRbtjwIzi0WxfxYLFHtBkcx0MBl3JmkGmHE8iWM7dcb2OLIly9bFsiXrTomUKFG8STz7g3xefzym7RSpY07mvIBA8og85z2X7/ne73lv0qJPKYX+/n40NzcLLWK324sooFQqhWg0KpNkIBBAdXU1YrEYPB4PqqqqEI/HxZpXSkm+wLZt23DhwgWZlOvr6zE7OytOTqWUVH/s6+uTlZnP5xM/xcLCgoC63W7H1atXsWXLFlRXV8u9YHtAXh/dEc8EOTYQMVvkZivdbNWbk534HTOg6yU2zKBtTlbSa+M8TB4J7kb+SCuFj5WFPwPACQBfKmz/BwBnAPyXwvbvG4aRBnBbKTUC4CCAC486liW/vkLLKJVKYefOnVJTnPHtBI9YLCZRGawLA9yzcmhd6oWhSkU1MKW/VK0O8qykGhhxwmzI+vp63LlzR8Csr68Pr776Ko4fP46hoSFMT0/LhMCwQQBSfld3/Pp8PvT19SEczrfdm5ycRE1NDYaGhqQxNfuXulwutLW1IZvNIh6PSyw2z1FfjRDEGe+tl17QwUN3VpPqIe9OOoLXiteHJYDX19cxNzeHSCSC9vb2osmFx2A0ECs+5nI5ZDIZxGIxiSEnfcPSCIykiUajcDqdUmRsYmJCYvQrKiqwc+dODA0NSVioHloZj8fF+epyuSRn4jd+4zfQ3t5+X5Yy6+dzIltfX5cOU1yxzc/PS/JVKV69lCWtP5d8xszAru9H5+3NTloz8D+IHqJ8Ks5dKWUH8EsAnQD+p2EYv1BKhQzDmC4oMq2Uaih8vRnAx9rPJwrbzPv8BoBvfJrjW/LFF8PIh/Tt2rULO3fuxMLCAmpra4U3JzB6vV6hGlgFkAO+VN2NUgAPoCiUkt/XwUnPdiW4VVRUYGZmRurFEKxqampQU1ODxcVFcXp6PB5s3rwZsVhMIlT0Imh0atJ5ODExge3bt2NtbU2aVldUVKCurk6oAD1Cwu/3S2s8vS4LuXIej9eBTjhSDeaSDAyd5ITF7FkWWaMDk3rrdX0++eQTqWVDYOR19fl8iEQi2LRpk9BJpKRIRbFpyNzcnDTcTiQSmJ+fh8fjkQSnmpoaKTbW2tqK/v5+6d7EOu56JvD8/LwAd11dHX7nd34Hfr8fiURCKBhm8fJcuYrz+/2YnZ2VZ4OGBCcJbtcBuhRI68+g/kzyN/xspnhKWfl6MIH+nQfJpwL3AqWyRynlA/AjpdTOh3y91HRynxaGYfw9gL8vnMCnC9y05Asr6+vrCIfDePnll1FRUYGlpSXU19ffN0gI8gQ91iWn49CcoELL1szP65EH/KzXemEdeOBejDyrKLpcLgSDQakZk06nsbi4iMrKSonb7uzslAgR9oNltIUO7i6XS+LtGftOSgFAUbck3fpLpVJCKzmdTunzSmBnWQO2GSTvz0gQ0jnAvcQbnT6ijqzMyQYaXCnpljzr37CSYigUKqLLlpeXMTExAZfLJf1VV1ZW4PF40NDQICuc1dVV1NfXw+12IxKJQCmFu3fvSlZrZWUlGhsbMT4+jvHxcTm36upqqebocrlQV1eH8fFxxONxLC0t4amnnsIrr7wCr9crzwQt/XyP2nz9GFrzDodDJk89eoU+HF4/rmp0kNadnzx/Xme9c5XZOWoG9lKf9cn608i/KlrGMIxFpdQZAC8DmFVKNRas9kYAc4WvTQBo1X7WAmDqX3McS379pLKyEvv27ZMEIdIuQOnKiaxVUldXJ/HiukOWlrcuurVqXhLncjlplExw1bNDq6qqMDc3J846OvzI6V64cAFf+9rX0NXVJRZpXV2dVEtkjRO9yQW570AggLq6OkxPTyORSIhDj+n0mzZtElqKAELdSJ+w5g5jwvV0+HQ6jenpacTjcbl+nMD0pb5uERIEdWufpQoMw5ASBaRIbt68iVAoJIlUbre7KE59eHgYBw4cQDQaFd0IerlcDqurqzKxTUxMSHcpnktDQ4MAOQAJ3/T7/UKhRaNROBwO3L17V/wWR44cwUsvvSQ+HOBehygKq2YSQFktFMivajgxMqktk8ngRz/6ETKZjGQXM/SUq01GZzGprFT/XF57s8OVYnaolpoEHiafJlomCCBbAHYngN8E8B0A7wB4HcC3C69vF37yDoDvKaX+DnmH6mYAFx91HEt+vcXr9aKxsRFjY2OoqalBc3Pzfc5SXUjVEKRoaXM7uW5afPryVreA+apb80AxV8qBRQcki5R1dXXhypUrAIAzZ87g4MGDOHToECKRiKTDsx8n+WtafhzUIyMj2Lx5swDz6OgoYrEYAEhtc1rcjNYg2JAyyuVySCQS2Lt3LwYGBlBVVYX29nbJeCQnbRj5mO/5+XnRhxYsrUKzk4+1dAhqXC3wmlAHcu+BQACGYUj5X6WUZIrevHkTGzdulLo69fX1SCQSiEQiyGQy4uSdnp4WZ3o2m0VHR4fcz1u3bknoZ0NDA9bX1+Hz+TA+Pi4TKH//yiuv4ODBgzKJ6WBZWVmJmpoaiZBiMhrPXa/WqXeMqqysRENDA2pra3Hr1i3EYjEMDw8XrQo5OdfW1sLlciEcDkusP3MSeH/5LJitct16L/XsPgrYgU9nuTcC+IcC724D8APDMN5VSl0A8AOl1B8CGAfw7woHva6U+gGAAQBrAP7MsCJlLHmEMNuQTjFahsCDY9v5O+Dew84lPJNOSKOwRICZDzXvj/siTcH2e9lsFjU1NcLXrq+vIxAIoLW1FePj41haWsL58+fx6quvoqmpCadOncLp06eL6oBzv+SlbTYbkskkent7pUFEOByWcEC73Y5wOCyZrwBksiL9ks1mYbPZcPDgQTQ3N2P//v144403YBj5lnGM5ff7/Uin0xIeSCDkioVRO7FYTOgmTpZ0Mur1Vcy8fS6Xw/DwMJ5//nkBOIKjzZbvnjU0NASv1ytZtKurq5iYmIDb7UYqlUI8Hpda7FwVdHZ2YnJyUmrg0KpuampCNptFLBZDMplEbW0tamtrMTExIW0Su7u7ZSLi6kPPEFZK3ZecpD9nrB2vny/ptN27d8tEY35+OAHzOrKJOa8ls4pramokkYplJ3gcvciY7sPQQf8zW+6GYVwDsLfE9i+2O+wAACAASURBVAUARx/wm78F8LeP2rclllBY64RL81wud1+tcz2SgJ9Z3VAfYLRmXS6XNOCYmZlBRUWFpKHr/ChQ7Lgi98qGzC+//DKSySRaWlpkqU0+eseOHbDb7RgcHMT58+cxNTUloMVsTn2Arq+vS7YkLTE6bOnky2QyaGxsxMaNGzE1NYVIJCI6kzKiJc9a7WfOnMH8/Dz27t2LTCaDTz75BNeuXYNS+d60eh2Xrq4ujI+PSycqhhB2dnZKYlAul29Vt7S0JIlfTBQiqJPe4XlOT08jEonA6/WKE5bXuba2Fm63W4pssRrk+vq6nCNDXTOZDMLhsBQ2Y8u8dDoNt9uNcDiM2tpajIyMIJPJSHmEsbEx2O12fOUrX5HIF95PTqYUvbQALXM+W/yey+USh61S90pMV1RUoK2tDfX19eIbMNMl+ipQT4hiFM7i4mIROOsRWvSjeL1euW5er7eofAb39zCxMlQtKQvhQEun07h16xaWl5dRX18v3DuThvTIA/NDzm2kYVjDxO/3o66uDpFIRNrWEdTMUQisujg5OYmZmRkYhoGBgQEZXMxu1Fvptbe3S0310dFR0YHx53omKd/z/zqPmkql4Ha7sWfPHiwtLeHSpUtQSkmFSwASp09QZb2aVCqFW7duYWRkRPh3AhXLCiiVr6mTy+Xg9XqFynI6nRIWCEBi3YPBoNA6dE4uLy9LPLoeTcT70t/fj507dxb5PGy2fJ/bUCiE8fFxST6anp7GysoKpqamJK9gfX0dnZ2d4qe4e/cugLxTMhgMCqUxMTGBbDaLjRs3wuVyYXBwUBKQAoGAWP8EVE5EvAdcQQH3ooWUUvdVf+R58j3vAWvusMAdn0MznWJeWZonAP049GtwUmO0jm7I6KUm2J/2QWKBuyVlIbTMlpeXBSzS6bQ4qQis7CfKZStL+nJwkstlo2hmpFZVVaGxsVH6bsZiMQFHJtAsLCxINiPj2J1OJ/r6+tDT0yMx6my2wTBEr9eLcDhc1HGJYKJHW1AymYwUptKBIJvN4sKFC0IZ0Kmn8+FMtOE144AnvWAGEa6A+L94PI5kMomVlRU0NDTA6XRiaWkJ4XBY6I1kMikTl81mkwk2GAxKZykmldGfQB1nZmYk7JHWMsMenU4nZmdnkUql4HK5EIvFxJG6traG+vp6mUympqaKEsgaGhrQ0tIiDbOZ1JTJZHDjxg10dHRg48aNmJmZwdLSktBPujFARzw/68XVGOevc+cM22TCWUVFBebm5qSHwJYtW0RfVg6lY5bPJO+TmVYxA//DrHDqSN/KysqKdKp6mFjgbklZCBs305rOZrPSHSidTku9cTbm4MBhxAWXsaFQSKx8ABKRkkwm4fP5pHQvk1OSySTm5uawvLws1jhjmWn15nI5Saih5cxjr6/ne46+9tprUimS8eIEfwI9BzHBvbq6Whx6BJNSfgUKrVBer1AohF27duHmzZtYWFgAAHR2diIWiyGRSMjgP3HiBKampnD9+nUsLS1hbW0NU1NTmJqakrLC5N4bGhpw584dobv0BC69HAHvEdv/JRIJ+f7ExAS2bt0qkxvj27PZLDweD8bGxuDxeGRiSqfTCAQCEmUyOjoq7Q5ZfpcO17GxMbS2tiKXy0lxsKamJhw9ehRNTU1yzjodRiGYMuRVT2Ij4DKRa30936YPgJwDw3U5Ybe1teHOnTuyCiStwlUY+/CyjSGfF1Jy5hBXc7x7KQe/Pvk8KizSAndLykLM1g4HJvleFpxi9cCamhr5LitJplIpjI2NFT385KiZ/ao3YWaI4NjYGDZv3iyDpbq6WgCcvPytW7ckc5Y89uLiohTVqq+vx/Hjx3Hy5EmMjo7eVzqXAEdLktSJXg6B1pw5aoIWsJ796XQ68eqrr8Ln86G9vR1vvvkmgHxM+eHDh9HX14fJyUns3bsXoVAIwWAQXV1dGBkZweDgoDivI5EIZmZmEAwGpZpkS0sLcrkcYrGYrFTM9AEAqZrp8/mQTCaFsllaWkIqlSqKCed5kUZiKCvPzTAMTE5OCi2SSqUQDofFyUxQDIVCiEajQtvs3r0bL7zwAnw+n9BgOv0CFIfA6hE+vL/6Z66OyI2zty5Xf0zgon/E7/djYGCgyHEOQKK4XC4X6uvrZTJhhi4bqCwvLxdl2OrArgN4qTIGluVuya+M6PwoLSAOalpuy8vLEsvu9/ul3CwHgl4aGLhXZIvNr7mP+fl5jI2Nob+/XyiZw4cPSyYiozl0cGtqapIszGAwKDQBC1wppfDss88imUxiZmamyElHoGecNnUk383v8n+PGrgdHR348MMPMTs7ixdeeEHOOxqNYnZ2Fs8//zxGR0fR09Mj5+B0OrFr1y5s374dU1NTuHDhgoRFRiIRach96NAhBINBVFRUIBaLIZPJFE1U+qqI14rWMCmrqakpbNiwocgS5Xc7Ojpw7do1id0HIN2SWKqgpaVFYtij0Shqa2ths9kwNTWFoaEhVFVV4bnnnsPBgweFh9etWoKp/gzpwolUp2DM1nBzc7PcV05EeqJYVVUVNmzYgKGhoftKBNAgWV1dlVWVHo3DOj0+n0+6WNGY4UTJ+kKkoUpFez1MLHC3pGyEy2QOIgKhzknqQL+4uAiHwyHWIKM2SCHwD4DULBkeHkYqlYLf78emTZuwYcMGvPfeexgbG4NSCgcPHoTNZkNNTY2AO7NMh4eH5RgLCwtobm4Wa5eDMpPJ4NixY3j77bcRjUblfHR+lVFAXKmY676bw/L4Ox1Ua2pqEIvF8NJLL6G3t1f2p5TCjRs3sHnzZrz22muw2fK9YAkQbKXX0dGB5uZmTE5O4ubNm7hz5w7i8Tjm5+dx7tw5tLe3o6urC06nE5FIRGrJACgqrKVXkKyursbq6ioqKiokZNRcsoBFvFwulxSJA+5l3fJ6dnR0CP1B67m3txfj4+Pwer04evQotm3bJpm81ElfBfH6MRpJ94eYr7W+OiIFQ+pEr1XE4/HZrKmpQSAQwPLy8gNrGpknah34qY/uB2DFTlJV1JMTJ0F/eXkZ8Xj8gePJAndLykLId+oDC7jnENO/pycrEbhYb5vcJ8MpFxcXJV19aWkJmUwGHo8H3d3dUnFyw4YNGBwcxOrqKhKJBJTKF/SKx+NFjZBv376NtrY2OJ1OLC4uSllZNp5mFmQgEEA6ncY777yDRCJRRBPotIxOQ+mhejoYcPDrDlWbzYZr166JNTw6Oirna7fbkUql0N/fj+eee074cdZN18sSpFIpbNmyBZs2bcLi4iKuXr2Kvr4+2Gw2uN1uBINBaaDicDgkLJKrDL20A5O7YrGYRMqwFyopGNaRAYCmpiYMDw9L2QSlFBobG1FXVwe32y2OWCCfjXrt2jVMT09jw4YNePHFF7Fhw4aiKBZzmGwpC9dMdZidnHpFSN0K57UnHcPfsx5NQ0ODRCPp+9OfXe5LB399dan/luWn9d/rRovD4YDH40FTUxNmZmYeOKYscLekLKQUv6gPJH07UOx8AooH6Pz8PMbHx3H37l3E4/EiZ2FtbS0ymQwGBwdhGAaefvppHDhwAG1tbVhbW8Mnn3yC1dVVtLa2irOPcdKJRALRaBTbt29HMplENBpFRUWFlJjVB+v+/fuRSqXw05/+VKxJgrpeoZHnbnbs8Rx5bvzM9ywsNjo6KpMPqYb19XWMjIzg5s2bUliNlBQdoAQqPWJn27ZtCIfDeP/99yXnIBAIIJvNYnp6GkopaTvIcyLo8PwYM19RUSENrhkfz5pBbErCzFc2EWEzDfLPXq8Xs7Oz6O/vx8rKCjo7O3H8+HHU1dUVTXYP8lHwWpWiMfRrqZeZ4PXTJ1g6vXU+n88nkC/iNjk5KZy5+b7qxzDfS/NqQp8E+Dv9vHSK5lFigbslZSGMItGtJB30OPD0QaKDCgFhdHQU4+PjAv5VVVXo6OjA7t27EQgEZHne39+PoaEhuN1udHd3Y8OGDbh69SqWlpYkrptJI7p1zT6era2tkmDDuHGG0tGRe+jQISQSCfz85z+XSBKG43F1oQ9+s1POPOj5PYfDga9+9asIBoPo7e3F+fPni5ytSinMzc3h3XffRW1tLY4ePSrZtjMzM3j//fexf/9++Hy+Ik6c+wfyvUwvXbqEQ4cO4Utf+pI4YldWVpBIJOB2u4V/1pNvGOXC+xKNRtHQkC8Yyx6wvK+hUAjJZBLhcBgtLS2oq6uT6Chmm/b29sIwDBw4cABHjhyRFYgZRM3XzRxxon/HvBrU96NPCpzAmHTGjFWCOs/V7/cXNfco5TPRJxr+6edhBnr9vuuTvO7YfpRY4G5JWQgtE32Jqtc91ykMfp+Dj9RJLpcTKoWAs2vXLuzYsaOoi05tbS327t2Lqakp9Pb2Clhv374ddXV1GBkZkVIDIyMjAsQckNevX0dDQwMCgQDi8bikxnOQU2w2G5555hmsra3hgw8+kNA6WmB6eCQnKp6bPoj5Pd1K7uvrw44dO9Df3y+hodSPET39/f2oqKjAjh07imisW7duYWJiAnv37kVXV5dkR1ZVVeHixYuYmZmB1+vF+vo6Tp06hebmZjQ2NkrM+fr6uvDFdKLSYcvYcEaKrK+vS6asDlTMQwiFQti6dSvcbjdWVlaEluvt7cXU1BRqa2vR09ODp556qqiRNK8Nr7PukDZTWWYg1K32h4nL5ZLIH8MwZPVDC54rBIbqkv82A7kO4Dqo63rq9JZ+z3Vd9c9m30EpsT30v5ZY8jmK/tAT2PXBSVAkZ8zCWPrA0OOyQ6EQ2tvbMTs7i8uXL+PixYuYm5uTJBryvRcuXMDc3JzUYdm9ezeam5tx9+7dIlDkMdPpNH75y1/C5XKhpaVFqB6GAuqcqs1mQ09PD44cOQKXy1W0tCctAqBopcJXvYOSHmvO4l0ejwe7d+8uKppGZzSvGR1v5HBZ1bKqqgpXr17FpUuXBKjX1tYwOTkpsf4rKyuor6+XcgWGYaC1tRWLi4tSS18pJZMmqzZ6PB643W7U1taio6ND6qnoVqvdnm+8vbi4iMnJSQl5XVlZQW9vL6anp9Hc3Iyvfe1rOHDgQFFzcwBF14rgCNyjP8ygqAOi2fIv5fTUQVinB1kimM52nktdXV1R0pK+AtD3qR9Tp230mHcz3687h/VAAb2yZSmxLHdLykJ0K0a33vV4ZYa08TPDG9fW1gTkdWdqa2srBgcHpXCT0+lEKBTC4OAgnnvuOXR2duL27dtYWFjAqVOncPjwYYRCIayvrwtfT6FO1GdqagofffQRjh49ioaGBnHWptPporR7hggyJPHcuXOS6q+H1Om9XkuF5XF/eujh1atXpUYJJwvgXmNwXhd2NlJKFfVzzeVyGBkZwczMDHbt2oWZmRnpZcq8gIWFBbjdbmzbtg0//elPkUwmcfz4cZw6dQo3btxAOByWHrB0uOqRO6RtIpGIUFM8N967vr4+eL1eqbAIAE899RQOHz5ckjqimB2YuujRL+btZkv6QUJfgcPhKAoHZZYsV2qMduI106N1dF3NVNKjVg86uOvn+GmpGQvcLSkbMS9jdWcfgYrgx2gOr9eLhYUFLC0tFYWvVVRUIJ1OY3h4WCyszZs3C5hfuXIFPT09Qtesrq7izJkz6O7uRnNzM+7cuVNkDXJC0csJXLlyBTU1NXj22Wfh9XqlsBRwf5q5zWbDoUOHZKWwuroKID950WmrW+a8Hvq10SeYgYEBGIaB5uZmuFwuRKNRcezyWqXTaaTTacRiMfh8vqLEJB6H59/b2wvgXkMJ9n6NRqPo7e1FLpcv/jU3N4epqSns378fQ0NDmJiYwNLSElpaWnDgwAEkk0kMDw9jfn5eMmEbGhqkFj7vK/MDqqurcfPmTaytrUnD7oMHD2LPnj1FFJd+Pbmq4XY+F/q14rXV6bxSk4Au5n3oIZw8LmvLs1kKz4eO62g0Kpb1w3wB5pWDrrcO6vpEYeboLXC35FdGzDyiHjLIh5nhkrSqAMhgY/lXvaohwTgQCMBut0sxpuXlZcRiMbFUgXwEyi9+8QsEg0FEo1HRiRy+vvxXSiGZTOLjjz9GTU0N9u/fL0XFdGpAj7VXSuHw4cMwDAMfffSRWPC6JU0Q57F1Dl0vduX3+/Hyyy+jtbUVo6OjuHXrlnRE0gHPbrcLb0zrkscgf07hJGa355tc53I5bN26FYuLi5ibm5PSD9lsFh9++CF6enqwtraGSCSCu3fvYnV1Fbt27cKLL76IQCCAgYEBXL58GSsrKwiFQkgkEhL/rlMe9AN0d3cLsNMa1sGZAKsX+eK9LgWQpcBdf6WYJ1G+MoO3rq5Org+fA1JX+n12u92Yn5+XY+hOcz1Ut9SqzMzHP2y1wv89inO3wN2SshFz8gcfZHLVwL1Udqb9O51OqYl9+/ZtCVsjL0/+ORwOY2pqSgCSWZLkUwmEhmFgbm7uvhA7AjsHN4tlZTIZnD17Fh6PB11dXQDuD61jchb/enp6kEgkcOXKlfuyPwGUzGzVrfZcLt+5iPttbW3FT37yE9FVz2Ykr099mc3LVHj92vPV6/VKeeRQKAS324333nsPiURCiotVVFTg/fffx+7du6XD0+rqKiYnJwUQt27diq6uLpw7dw6NjY3IZrNobW3Fj3/8Y0xNTcm9TqfT8Pl8eOaZZ7Bnzx65vmbHpA6K+qruQRax/kyV4sBLWfv6Z2aOcpVjGPdCL3lf0+m01Bxqamoq6iHL55R6mCcgvWerXlfIrBvfm/0KZsrJLBa4W1I2opdbdTgc0tSAA0bPsmSqdiKRECceLTsmgdBaZdJHKBTCxo0b4fF4MD09LTXXKboTV+drzQ5bpYpLE6yuruJnP/sZqqur0dHRUeTc1C1vvR46Af7mzZuyujAXkgLuWat6hUh+x2az4fTp07h9+7YADkFRX/WQg7fZ8qV39a5DZku3uroaPp8P6+v5hhROp1OahejWMCfDwcFBNDY2SiJXXV2dgNXFixexsLCAiYkJfPjhh/B6vfj93/990Yfn/PTTT+NP//RPpdQvz9G8itGpKbPVbqYsdEDUI2f0CfNRtIbT6ZRuTwRp6sDkLEb9KKUQCATg9/sRiURkH/qxzNY498kernokke5Q1ykeyqP4esACd0vKRAg+LArG1nmM7KAV6nA4UF1dLenwq6ur8r2tW7dK8SkAmJmZEa6YA6uyshLXr19HJBIRxyvFDHQ6oOv/b2xsxOrqqvDlpD7++Z//GU8//TTa29vh9/vFKmU1QB6/uroagUAA3d3diEajmJubK6kH3+uJM3a7HS0tLVBK4a233kI0GkV3dzdmZ2cRjUbvs1IJ7kDe4mOtFDNnywkoGAxCqXzNmytXrqC7u1uyStmnlpSU0+lEOp3GwsKCdKuan59HMpmUqCauGFpbW9Hd3Y0PPvgAs7OzQgn5/X5885vfRGNjo+QM6H4HfQXHc6D+zIo1Uxlm65fn9qD49oc9k5xEeO/4WW9NmE6nRd+WlhapJaP7Z3SLX5+MdB8T3+vRR+ZrQHpHz5F4kFjgbknZiDlMkA81rRcCO+uX08qjNR8KhdDS0oK7d+/C5/NhbW0NExMTWFhYQF9fH5RSWFlZEQu1VIIU66ID90BBBw0OeNIpdFyyy9GVK1cQj8cRCoWwYcMGAWRy5kzUqqysRCgUwnPPPYezZ88KsOmARKEeNTU12LRpE5aWlmQS+5M/+ROEQiFMTEzg5MmTRZy/2bojKJiBkBRDU1MTHA4HGhsbsWfPHpw/fx7nzp0TEFlZWUFjY2NRVA1r4S8uLgK4V5Kgvb0d8XhcwiGdTidOnz4t95it/fbt2wellJR71ukJfZI1A7a+qtLPg6L/5tNEmzzIime2rZ4wxwmdtXJ030h7e7tUrWRoKCO52DxGPxcd5HX9H0QhsaLppxEL3C0pC0kmk+jr60N9fb10XiKQs1kEQZ5Ab7fbJUabWZENDQ24ceMGqqqqxLrXk1HIcbILkm6Z53I5WSLrHLfZQopEIkWWJcP9mF6fTCbR3t4uiVCsdQ7cA22n04mmpiZ4vV7U1dXh/PnzuHPnjiRjmTni2tpaBINBjI2NSfYsE4W+853vYP/+/fB6vYjH40LhUKdMJiOJRezEpIOZ0+lEY2Mjqqur4ff7ceTIESwuLsrqg45WUi/Ly8vSSo+UERuV+P1+dHV1oaenBx0dHXC5XLDZbPjhD38ooM59+Xw+4dh5LUtx3zoIUne9AYk5KUkHcd5f3WGtf0c/hm5F85XPWTKZFEODIY/cZ0VFhSQ3eb1euN1uCfPUI4Rqa2tlglhbW5PoKnNhOaB48uJrqXN8mFjgbklZSCaTQV9fn/Dnfr8fXq8XDocDNptN+km6XC6hYbgs52AhMFdXV2N0dBSGYSAUCqGxsRFKKUxNTQlfD6Ao7hoopmXoXOX+CZi0CHl8DsxUKiXbrl+/jqqqKuzfv78os5UDm5meNlu+xd3mzZvR2tqK27dv48aNGxgcHJSaOACkZdzt27eFZmFv2L6+Pjz//PO4du2aUCYEXXLfnCgZ+kjgcDgcaGhogNfrhc1mQ2dnJ6LRKMbHxyWMkiGRCwsLqKmpkUqXvFZut1smUVrgFy9exL/8y7/glVdewbFjx6TrVFtbG1ZXV5FOp9HR0SHhmw+KCNGlFLjrPhL9e/p+9Mglis7BPwjY+cfkKiCfV8HcBJ0mI+/O549NYXiv1tfvtT3kqpA0D59d3QFOg4H/IzVnptseBfAWuFtSNkKwjkajWFhYkFKvHo9HQIgNtNnYmKGRjBxJJBLw+Xxiqc/Pz6OiogKBQEDK+HLAMCGKA0cHPbfbLU0UaMHrzj1axbTI2ZWoubkZa2tr6O/vh8PhwJYtW4ocsXzPZTx5f6fTib179+LgwYOIRCLo7e3Fxx9/LPHiXKEwvZ+0yJkzZ9Da2ipt11555RWcPXsWyWRSIl64EjIMQ0oks1Wc1+uF1+uVomErKys4e/Zs0XnHYjGxlGdmZoo48ddffx1LS0s4d+4cxsbGikApGo1ienoaCwsL2LhxI5xOJ+7cuQPDMKR7kZk+MX/Wt+sWuTlMVgc9PcuX9/lBQPiwiYR/nKDZgCSVSsnvKisrxbkej8dRWVkJr9dbtLrhfvQSCaQG9cxhPhc0FGhUMOuYK0s6ci1wt+RXRswW1NramjRmHh8fR2VlJVwulzS8ZpNgvWUae3KGw2FEIhEBxXg8XmSxc/DrwGsYBtxut3QWWllZEd10eoZAT4ciAYYp++FwGIlEQjocBQKB+xyCOvjotI/dbkc4HMZv//Zvo6enB2+99RYuX74s/2NXIC75s9kshoaGYLfbceLECTQ1NeHEiRO4e/cubt++jUgkgsnJSWzZsgUAUF9fj76+PqlyybIAiURCaLHq6mopCUwfBQFMTx763d/9XWzduhVVVVU4cOAARkZGcPr0afT39yMYDOL111+Hw+HA8PCw5A34fD40NzdjYGAA3d3dRc7qByX/6MIVCR21ukWvA7LeQs9s5ZojV/RnTpeKigrpuEV6KpfLScYq/T1cRbAQmp7bkEqlxI9jDqOlUaJPSFxNkqvn5ERqiRE0eqb2g8QCd0vKRvRBp3Pa+iBdXl7GysoKxsfHYbfb0dDQgGeffVYaIDCaweVyIRQKYWVlBZWVlYhGo1heXhaLlZYUjxcKhYQTZY/VlpYWRKNRcZoR1HUnpF78i7SE1+vFgQMHAEAaiuh9XXletN51p6vOzYfDYfzRH/0ROjs7JfWfzly9qBrBYGJiAm63GyMjIxgaGgJwL1WeVE08Hhdrcn19HZOTk8jlcrh8+bLQS8lkUqJ8gHuNMPR74nA4MDs7i29/+9s4cuQI9uzZgy1btkgrv6GhIbFyp6en4XA40NTUhLW1NTQ2NmJgYADBYLDIgVqKHtOfC31yZRkFHbh12kb/bN5PKTE7W0mRxGIxWSkx6sgwDCwtLSEWi6G+vh7ZbBYul0ue1YqKCjgcDmn2roeyrq2tCU1FIOf5Z7NZqYWvTzgsMsd7wWtg1Zax5FdCdEvWPND09/prZWUlduzYIVYanVgApEFxW1sbJiYmxHmVy+XEKUhLiNYqAKldzro1oVAI09PTRdmken1yLp91sGYDEY/Hg9XVVSl7W1lZWdJpx3PRQZTXorKyEl/+8pfR1taGkydPYnx8XBx7+mTjcDgQi8UQDAalPyotxNnZWaRSKWlfR3Bhmzs2ceakRWuRQKKH8en+g4GBAVRVVeGNN97AO++8g2PHjuHQoUPYunUrtm/fjrGxMbz//vtFPUJ37tyJbDaLDRs2SB9cnVM2R7boqyu9eYdeMI6iRz/p/pBSUTKleH7d8gcgK0XSSHpoosfjkfvPa6M30nY4HELT6Bw9uXdSi7TAOfEQtEm9MCCAE7/eJ/ZBExXFAndLykbMnGspa0qX7du3o6GhQaxwAgStacbHBwIB1NXVSfEqhpORv2az4rq6OgSDQan6R2cYAV7nTLlEp1VHhx3ju0dGRrBt2za4XC6JmPF6vfdFhhDAdUcncI8Gstvz9cM7Ojrw53/+5zh79izi8Tg2b94Mj8eDyspKSai5fv06vvvd78pqhR2Q4vE4xsfH0dXVhYaGBrS1tWFsbEyAUy/BQKEVagbEVCqFffv24bXXXkNjYyPsdjsymQwuXbqE73//+/joo4/wjW98A7t27ZKEKFq5tNzffPNNHDt2TCa7B0XIkLYggPK+6ZSM+dnRV1aPiogxbzdvo++A94D3XXeGkodPJBJFyVkul0t+XyqJite3qqpKJmomQ+lOVIYGmyczfZX3ILHA3ZKyE7Nlqw8+DtyNGzeis7NTQJyhjXqEQSaTwfz8PBoaGrBp0yasra1JREl9fT2AfAhmJBKB1+uVyoZtbW1oaWlBNpuVUgS6VanXmtFbA1LX+fl54Ua3bNkCp9MpFRPdbnfR0pvJWmbnIfdFK4/O15deegkXL15Ef38/IRIddwAAB/hJREFUmpubkc1mpfIlSxLQsgfuZTtevXoV7e3tUiiM1Siptzmlncc289abN2/G17/+dSilEIlEUFVVBa/Xi8OHD6Orqwvf+973MDMzg71798Ln80lSWjwex5tvvonTp0+LT0Tn20slGHHi46RCPwOjS8xWO+kP0jbm62mWUjSZ/jmVSiGTyUgsP8GWetBHk0wmZXJ2uVxSokEP19Sd95x00+k0stms+DH4fJXKRtYNF5vNJs/gw8QCd0vKRszUi77M1h90r9eLzs7O+4BIFzreQqEQAAglwUFKjp4Ow3g8Do/Hg+XlZczMzBQ1oCDAMFFHj3TRLWfqSt/AwsICRkZG0NHRIaGL8XhcYry9Xm/JiBGdc6UFSz1oObe0tOD8+fMYGBiQGHPqqVuxXPKvrKxgeXlZQknNVqB5Ai1FkayuruL48eP46KOPpD9sVVUV/viP/xidnZ1Sf31gYABvv/02du/ejfb2dilExiblTz31lNRjIVgx+oiTIidr3d9Bnpr3V39O+Hta92bwf9jzZhaec1VVFW7fvo1wOCxZuvp9JmCz0Td1oy4ul0smJYI23+uUGidlfQVKWkwHdr2chT4JPEisZh2WlI2Yl9bcZgaiffv2SV9QTgCkW/TGwhwIHPBM1iHwrq6uCn+eSqUQjUZhGIbUnZmfn5flsl58i4OTerHAlO4YtNvzjaoXFxcxOjoqoE6LbXp6GmNjY1hYWCiynh9kwdMaZyhoMBjEiRMnsG/fvqJlO4GJPC/3lclkMDY2Jok2pSzVUpOknlxDDvrkyZOSuen3+2G32/HXf/3XGBwcRFNTE9rb2zE6OoqTJ0/i0qVLyGQyWFlZweLiItbW1tDd3S1hrOSt6XSmZatfd/0e6vw0JyE9VFHvL1rqfPTrqa9IzH+8Zlu2bIHP55N7Q0ue4FtbWwuPxyP5GDrt4/F4xNdgGIa8Erx1y5266Csu3n/SP3qfXIZPPnQ8lTr5z1uUUhEACQDzT1qXh0g9LP0+i1j6fTax9Pts8kXVr80wjGCpf5QFuAOAUuqyYRj7n7QeDxJLv88mln6fTSz9Ppv8Oupn0TKWWGKJJV9AscDdEkssseQLKOUE7n//pBV4hFj6fTax9PtsYun32eTXTr+y4dwtscQSSyz5t5NystwtscQSSyz5NxIL3C2xxBJLvoDyxMFdKfWyUmpQKTWilPrLJ6TD/1VKzSml+rVtAaXUe0qp4cKrX/vftwr6Diqlvvw56NeqlPpAKXVDKXVdKfXNctJRKeVQSl1USl0t6Pc35aSfdky7UuoTpdS75aafUuqOUqpPKdWrlLpchvr5lFI/VErdLDyHPeWin1JqS+G68S+ulPqLctGvcLz/WBgb/UqpfyyMmcerX6nsrM/rD4AdwC0AHQCqAFwFsP0J6HEEQDeAfm3bfwPwl4X3fwngO4X32wt6VgNoL+hvf8z6NQLoLryvBTBU0KMsdASgALgL7ysB/ALAoXLRT9PzPwH4HoB3y/Ae3wFQb9pWTvr9A4CvF95XAfCVk36annYAMwDaykU/AM0AbgNwFj7/AMB/eNz6PfaL/YiT7gHwM+3ztwB86wnpshHF4D4IoLHwvhHAYCkdAfwMQM/nrOvbAF4sRx0BuABcAfB0OekHoAXAzwG8gHvgXk763cH94F4W+gHwFMBJlaN+Jp1eAvBROemHPLjfBRBAvp7XuwU9H6t+T5qW4UlTJgrbykFChmFMA0DhtaGw/YnqrJTaCGAv8tZx2ehYoDx6AcwBeM8wjLLSD8D/APCfAeilB8tJPwPAKaXUL5VS3ygz/ToARAD8vwKt9b+VUjVlpJ8uvwfgHwvvy0I/wzAmAfx3AOMApgEsGYZx6nHr96TBvVRZtnKPzXxiOiul3ABOAvgLwzDiD/tqiW2PVUfDMNYNw9iDvIV8UCm18yFf/1z1U0odBzBnGMYvP+1PSmx73Pf4WcMwugEcA/BnSqkjD/nu561fBfK05f8yDGMv8nWgHuYfeyJjRClVBeCrAN561FdLbHucz58fwAnkKZYmADVKqT942E9KbPtX6/ekwX0CQKv2uQXA1BPSxSyzSqlGACi8zhW2PxGdlVKVyAP7dw3D+Kdy1BEADMNYBHAGwMtlpN+zAL6qlLoD4PsAXlBKvVlG+sEwjKnC6xyAHwE4WEb6TQCYKKzGAOCHyIN9uehHOQbgimEYs4XP5aLfbwK4bRhGxDCMLIB/AvDM49bvSYP7JQCblVLthVn39wC884R1orwD4PXC+9eR57m5/feUUtVKqXYAmwFcfJyKKKUUgP8D4IZhGH9XbjoqpYJKKV/hvRP5h/lmuehnGMa3DMNoMQxjI/LP2PuGYfxBueinlKpRStXyPfJ8bH+56GcYxgyAu0qpLYVNRwEMlIt+mvx73KNkqEc56DcO4JBSylUYy0cB3Hjs+n0eTo5HOBt+C/noj1sA/uoJ6fCPyHNhWeRnzT8EUIe8A2648BrQvv9XBX0HARz7HPR7Dvll2TUAvYW/3yoXHQHsBvBJQb9+AP+1sL0s9DPp+iXcc6iWhX7Ic9pXC3/XOQ7KRb/C8fYAuFy4xz8G4C8z/VwAFgB4tW3lpN/fIG/w9AN4A/lImMeqn1V+wBJLLLHkCyhPmpaxxBJLLLHkMYgF7pZYYoklX0CxwN0SSyyx5AsoFrhbYokllnwBxQJ3SyyxxJIvoFjgbokllljyBRQL3C2xxBJLvoDy/wENMMdu0rz3GQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import cv2\n",
"import matplotlib.pyplot as plt\n",
"\n",
"img1 = cv2.imread('images/box.png',0) # queryImage\n",
"img2 = cv2.imread('images/box_in_scene.png',0) # trainImage\n",
"\n",
"# Initiate ORB detector\n",
"orb = cv2.ORB_create()\n",
"\n",
"# find the keypoints and descriptors with ORB\n",
"kp1, des1 = orb.detectAndCompute(img1,None)\n",
"kp2, des2 = orb.detectAndCompute(img2,None)\n",
"\n",
"# create BFMatcher object\n",
"bf = cv2.BFMatcher(cv2.NORM_HAMMING, crossCheck=True)\n",
"# Match descriptors.\n",
"matches = bf.match(des1,des2)\n",
"# Sort them in the order of their distance.\n",
"matches = sorted(matches, key = lambda x:x.distance)\n",
"# Draw first 10 matches.\n",
"img3 = cv2.drawMatches(img1,kp1,img2,kp2,matches[:10],None,flags=cv2.DrawMatchesFlags_NOT_DRAW_SINGLE_POINTS)\n",
"plt.imshow(img3),plt.show();"
]
},
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"###
تطبیق Brute-Force با توصیفگرهای SIFT و تست نسبت \n",
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"\n",
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"این بار از BFMatcher.knnMatch() برای بدست آوردن k بهترین تطابق استفاده می کنیم. در این مثال، k=2 را می گیریم تا بتوانیم آزمون نسبتی را که D.Lowe ، نویسندهی SIFT در مقاله خود توضیح داده است، اعمال کنیم.\n",
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"FLANN مخفف Fast Library for Approximate Nearest Neighbors است. این شامل مجموعه ای از الگوریتم های بهینه سازی شده برای جستجوی سریع نزدیکترین همسایه در مجموعه داده های بزرگ و برای ویژگی های ابعادی بالا است. برای مجموعه داده های بزرگ سریعتر از BFMatcher کار می کند.