IM Geo.3.14 Lesson: Proving the Pythagorean Theorem

What do you notice? What do you wonder?
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[/img]
Elena is playing with the equivalent ratios she wrote in the warm-up.
[size=150]She rewrites [math]\frac{a}{x}=\frac{c}{a}[/math] as [math]a^2=xc[/math]. Diego notices and comments, “I got [math]b^2=yc[/math]. The [math]a^2[/math] and [math]b^2[/math] remind me of the Pythagorean Theorem.” [br]Elena says, “The Pythagorean Theorem says that [math]a^2+b^2=c^2[/math].[br]I bet we could figure out how to show that.”[/size][br][br]How did Elena get from [math]\frac{a}{x}=\frac{c}{a}[/math] to [math]a^2=xc[/math]?
What equivalent ratios of side lengths did Diego use to get [math]b^2=y[/math]c?[br]
Prove [math]a^2+b^2=c^2[/math] in a right triangle with legs length [math]a[/math] and [math]b[/math] and hypotenuse length [math]c[/math].[br]
[img]data:image/png;base64,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[/img][br]When Pythagoras proved his theorem he used the 2 images shown here. Can you figure out how he used these diagrams to prove [math]a^2+b^2=c^2[/math] in a right triangle with hypotenuse length [math]c[/math]?
James Garfield, the 20th president, proved the Pythagorean Theorem in a different way.
[table][tr][td][list][*]Cut out 2 congruent right triangles[/*][*]Label the long sides b, the short sides a and the hypotenuses c.[/*][*]Align the triangles on a piece of paper, with one long side and one short side in a line. [br]Draw the line connecting the other acute angles.[/*][/list][/td][td][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPoAAAEwCAYAAACe6GxbAAAgAElEQVR4AWy9VXdcWbdl6593b1WdL5kMyZlmS2YmWZYlWRgkhaRgJoWYTZnfqar7q+Ztfcy1IpSn6mG1jRFhP/Q5xoS9daaau261NV+VtWtWZX/lms7VV0estjpi8Z567sbg3vgZzlWXr+s+7q+u3DBt10aslr1h1ZVRneN8Jev3VZdHjMVxdfWatuyXs1f8nuwNfVbXV24M71m+ZuVlfm9E2/LyNf02v88+18pLfq2SHQn7nL+m7y5mruie0hL337DS0tVT67pxvsK/je/I3LBS+nrYXrNi5pruLaZuWCF1zQrJ61ZKX7Ni6qq2cb+Qvmr51BXLZ64OViF5RZ/JJ69ZPnFFK6ftVcsnr5rv+/l84rrlE1ctn7hsucXLfu+i73PfYP2Xa6vzl21t8ZqtLVwy9nMLV7RlX2vhsq0sXrbVBV8r85dsLXlVx+yzsnOXtVbmrll2/rqx1f7cVcvOXbXlmSu2PBsW+2FlZ69aXJxbmr1i6bkrlpm5rMX+8sxl3bM0c3mwzznu5b7lGb7/qmVmL9rSDGt4jX3uSb+9NPzOt5cs/dbPJWcuWXLmsiXeXrbk7CVtE28vDs4tTv9pC1MXbXHqsi1OXxys+anfLTH5pyWnuP6nzb+5aPOTv9v85J829+Z3m3vzh81O/G4zr38J6zd7O/7LYE2/+smmX/1iM2M/aXFtauxnm3z5k7158aO202M/2/Tzn236BefO69zE83M28eKcvX5+1l4/O28TT36wiSfn7M3Tszbx9Dt7/fj7U+usvX74vY0/+M7GtL6xsQen1v0vbez+l/by3hf28sEX9uzuZ/b83uf24v4X2j6/85m9uPu5nRHE+RtWy9+weu6a1fLXTECvXLP66nVBznFcApwAEIKDAsGaA1teuW71tVGB3gjQx/srAL0K+A4xQQAAgTkCXVm5Kqi5Jy4+oyAArCuAyHGAWdeGQFezNwf3+mdO3cvvrFx16EMwKC5zzL/jhpX077mh7y9nHHCgB3gtBYbrVkxft0IKyLnHYQfy06ADO4vgoP3kVQUEBYjENcHNPuArMLBNXLZC4qoVuTd51QqJEBwUEBx4gkSEPx/gB2zOAXZu4YYHiYVrfpwYwu7XuSecC8ADvoN+xVbmfa3OXzdfgA7wcY3ovMN+ybLz12yZIDB7NQQEBxZ4BfTcVVuavSo4HXCA9/sJCIKae3X/RVuevWFLc39aau6iLc1dstTsEHYgT8/8+Q/YFUimHXJAd9gvCnaAX5z+3ZJTFy0xc1HwL0xy7qKgB+yF6T8EeuLNJcFNMAByB/0PIxCwgH124tcB8G/Hf7bZVz8H4H1fsL+6IPABffLlhbB+sskXP9v02HmbHLtgb16et9fPzgr08ac/2MTzC4Id4N88BvgfBPnY429s/BHQn9WaePSDjgX5w6/sxUNg/84Bv/eVtmP3HXAgf3H/c4f+zr+0PVMvjDjEhQA1cEeIw7YRQAdagG+sjVotN2rVfFhr1x1CwFu9JnUHZAIFn0G1+ZwgD0Eigsy1eF7nBgrv7sBdgTsDQbl2w8orI1Zmuzpq1bWb/ttZdwinA0c1e2ug8NEF8BtFOYAYQFB2gs2IYCeQRPgFcibAvzSi+wAcSAG+RBBYRukd+MLSFStyDfUX/B4QdC4VYCcAyBGMOPBAnbwkpS6i/MnrDrrOR5Xn/FXLpQgAuIKrtrZ4Rfu5RVfwtYUbOpdLXBXM3FNI3AgBwOHO6zNXja0rO99zzVYXrjrkiwH6RQd3df6qZReu2MriVVudv2GriyMCenX+moAHcEBfWbihYJCdveGuYOGKBwFgRo3fXhL43L80c810H5+dd5XPzl1UsHA3QHBwRwDs+vzMZUGf0fe5kyAIZKbDCpCj8KnZK+YKf8lSIQikpi9aYvqKoAdwwT55ScAn3lw2AgDKvjAV4J68aHNvfpO6syUguLL/JpVH4QGdbYSe4+lxFP4nQT099qO9fQngP9os2xc/2fQLBx1ln3h83iafnbPJZ4B+VsBL0Z+cMwLA+KMf7PXD7wS+9p98a68efi81f/XwWxu7/7WvB99IsYH72b3P7VlQco5Rean73c/sTA07HhQd694ojhpgS4nzNwR9Iz9i3FdfvWbsV7D74RoA65jP5FzNa9lRWe/66k2HfvWmPssxQYRFsED9+R0pPVaf6yg+AYVruII1B95TAL7/tt+TJSXwz0drzufZJ3jwWeDlHuAvrlxRSgLEdZRfQAdbvzoqda4G+x8dg9IA1F8O4JpsPcpfTKPy1w2wgR3Qpd4o/cAZjAj2gbqngP+6FZIjDnMG2+8BQ4EDsFNcv+Kg4wo4TlwLAHsQkXpj7YE22H62uIF88oZcAva+mATGyzqXS1x3oBM4h2tKLVaTl4ZWPvwGwWIZqBd8YfVxCbkFUoKbgp3AwDnAH1h7FH0BF+AOANsvaBdIAcLC3s9dtrUFXME1TwWCG8jOXgtKH7/zutv8uUtS9gHwsxdd5WeuC2jcAjafALA0c0XnBDQ2fw7gLw9g53zi7VUDeld1gHfoo8onJv+wxenLDvgE9v2PoO6/aH9u4s+g7L/ZzGu39IAN7G9f/yzI2c68/tWmXv1ok+O/uH1/8ZO9ff6jTY6ds6nn52Xrp55f0PbN0/P2+ukFt+2y8D/YxOML9urJ9wHyIezY+pePAP5be/Xgm8Eau/+tjd39LMD/pYIBkL+495W9wMrf+czO1IE4f0MAV2XfAXZo1QEO2BQMgqLzGQEL7KeAj/coCAT7DXCA21i7rd+Ix3INqzcNix9rAVyT9V9zOPmcYFYAGLXG2i2lElH55QaWo/UfdcAJHOT+/H6WwOGqT5CprBKARj0PJxcP/0agVVBYcjWP6l5aDU6FgLE8OlD8wtI1uQJZ+2DppeBZz+sB33P8ESOn575S+ooVl7g+BJz8vozyo9Sp6wPwCRrk6lxnAbK7gFPbdEgjkg69IMeqh9w/R2qgfJ9g4WpPMOA84MdaAA4Ad8C57MIlyy9cs9VF7vf7VlNXbXmRa1eMfVn9OYIIqu95POALVp0H+CtSefJ62Xty+QHUnutzv+oABBdqArPXLDN/WfscAzGK7/tu77U/c93BFuQ4Bk8H2AJ2eu6qAx7Sh2j33db/MVD21NQV7aP6gK78fvLyIFdffPO7cnZgX3zjdj5a+pnXvw1yd8AmN58Z/91mJlD6X2z61QVXceXvUc3dwr8O+fv0swvGAvy3zy/YpGA/b2+e/GjjT8nXzwt+8nVZ+CffCvKJx19L6VF7gMfCv7z/tY0/PCvwxx5+ZS8ffGljD7+0l3e/sZf3WF/ZGVnx4qgJeKm7q3aEvVq49o9r3C8XEKE/pf76Lo5RclwCdj0EAgEeoI8wswVetlyPSizg9T2eVkjlY86fdZcwPEdQ8GDCuZj3S9lVAHRlF/zLHjhc5Yfno4JXVNwbscqyf6fsPs5BhUM/XyJtiCpPjo5tR9GXUfhrVgBqFfWG+b4sPsEkMyLLj+2P9p1AoGAgNfcUgAKdrgdFj7k+0OfSVwY5vvL89DVPJSj0hYWiS+HZJr2mQCDhunJ1Fftc5QE+npPyS8FvBOW9LuiVrwM/11LBtsdinZSc7zit9K7agnv+mi0RPBJe2OO7YoDQ/sJ1t/4LuAB3BnIEc1cd/PnLUnW+S4W7ec/7uVeKTnGQwDBzTYoe7Tv3Yu85dsgp0nmhjmOHe3icmrxo5OrYeHL1hSnP2x1ubPwwd8fGx0IdkM+N/SbQ2aLuBAKKdEA/QzHu1a9SdnL3qOSxYMcxi8Icdh51n6Qw9ywo+uNvvED36Jy9evKtvX7yrY0//kaKj+qPP3B1J3d/9eA7e/Xoa1f0B1/aizsU6b7S9kyjMGrN0k1rlEdM+To5e+G6qy/KHnL4gX3Pj1gzF4pxwQFInXM3rFlwKy3IUef8zYE7iKATDCLo2Pe4Itz6ndURa+QA+qbfS10g78pPMODzKswFa853RnWOW75PKi3rjiLTBfBiXbzHr3vOH2HnPtQb5ScgYPW5pusqBvo55fEReNIAoFfhziv6Sg3I7+O5UNQT5BTpUHDy/LgyAH9Zx5zPL3Ec1F/bCD9Ke3X42XAPlpwF5LGSH8+piq+CH/Y+2HfBHvN5r/RHi59b9KKb7Djfmbrh1hxYF69aNoF194Id97BUI5AtD+el7g637ln0egB5Oo5B3w30fD7UANgSBFQXmHP7Hwt+gB6VnnNu12+ogJfheOGqgx4UHWVXIfDtNcGOYku1Q3Xe97Hylyw9fVX5O7AvoOpS9li0YzuEPALuBbrfBfPsy99t5kWoyL/yLYDPjf3iebrsvdt4FBzIqbxTmKM679vzOjf51CvxUdFjcQ6oxx7/IMBR+YlHXplH7WXlH6L4Xw/yeMCPkEvRgbxVvClIAVU5OjAXRkORbkSBQIAqCAChg6dc+pTNF4xRicnBgZN747lQyBuCfsuaAfZo33Ut3C/4cQHB3nMPBb54D1u5hxAQZNNlx/08x3XsPltcRqgdRGvvoHv7DwcguFH95dGB7R+o+8AdcD2096K6n6rce4EuqrlX7B32UL0npw/rny28aPdjBT8otQp3DrmsPLY+qnho8ymXR7mBPbgBcnQChuBfCAofVV+KT6Evgk6L77qvlCs3IKtdRwuO4JEesbXEiK0lI9Q3TAEhKL1AT8Ri3fAeAc09yevK/blPqYHy/AA6sNPK03ao+A655/hcB/SBki9cNwBfClsq9hwDuM6Tx89cs+Rbqv5XBrk6av5fl1wAhbupi5acvKxFK86V/Z+VeEA/Dfv8699tbvxXmx37TQs1l8pzDkV/+avU/e0LLP0vpnYbLbgXsQ0H7GfVeqNYx0Lhqca/eXIhtN1iRf6cjgegP/xONj7CLnWnUKf223cmG3//a3t5/1s70yqOWlzAHWHXNjcMAH7+hjUKtxzgALFgC+ALaAIE1/I3pcqCn2MV324NinB+7IouyEOVvpkbqjiQOtxelIv7gD8o5oW8HuBRarmAkNPHIODqfl3wRrjZqjgYevqu+D4T4Puu6hF+7q2T34d2oG+D/Qd0oA/AywUE+19KY/lZEXRU/Ior8ulevar73s6LPfpS+rL37AFayn3DChQBdTy05IBeCjZfVfsQAGT/B0rv1l2KHmx8/J58YlQ5e4RdMAN08rqsum8d1pjPy/IvjgQlv6EgEJ0AQUJFvMVRVeqp1kcVJ1jwexTlBPYpR+AFvgA6ef/8dS/mDfr012xpfkTAC+rFGwIdyHECp3N4B97hR9ljD96r8v+EPaq9VH7qoqWno333wl3srdNnn3vzpy1M/G4AziI3d9h/sbnxX2whAi7gse3ed0fhVYV/cUE9d2/BUaGnMh+h/1GQRztPRd6VnV67Q67tI1f0N4/PGmvi0Vmv0qsy/63UXhV6Qf61vbz3XQC9fEuq3UTZ87eGCh+UHpXnWqM0alh9lhQ+wN7K3ZKdx+YTEBx0YB+xGsEj58qOAwBk4Ne5WHmnWn/aGeRu674YDDyYhCq9KvGouuf2XFNlPrb15AC8CKfim5Tcj2srVOxHrbbiKu8K72lADeBp9TH8w8BOCAAO+oggd1vv1wfBgKDCvadsvt/nKYB6+0C/TKWfohwwDy17VHXvy4diHgW6mPtTnVeFnkGdU3Y/WHa+T4FBOT7FPw8K3t4bugPOD2y77DvfN6LvzKevWy4D7KODKj12XVZewF9VIY78XHk6TkCQO7S5ADQQA/RpWw/kg/Nco8JPrp+4rn1Um+tAv5YYDZ91a386EMjSB6CBHSVnLS96QPC83wNDtPhxq1xegzxu74FdKyg++ToWngJdevpisPFu9anMA7rUffKSUXlfnLhoC+N/DGBH0aOysw/wqDpLoL/6TcoO7DMvfrSZFwF6AU6/nb47lflQuAt5O+03QJ8MxbkIu/rtj87aGwHvAzU+VPOtcnaU/XTuLtA75dvWLoxap3jTWiWAHxmAjtLXabcFpVcgKN4cKLbALrnq6x7UOOTqbtk9cAC/bP6aK7pUPvbvg7Vv5G4LWMB1F0B+73DX87flEAR8sPKxBaigAuz09NW6c2WnZYeiY71RdAf8tgKEVD9Yeql+NsCuwhsgD4txBAvUP66YAsgNrLnKExRiQIiqrt9TGw/IvaAHzHxPVHkN4izR6x/1ALDkbb4IKQU+pvk45l6KdkoNQjFPObz6+Q4438u5Umjl6XoICH4+uAB69Wn/LhXrNMTjrTmCARV8qXvqhq1i5RMjqguoR09lf9FtuwIBQzoLIw4+99HPP7UIAnksf4Bb37U4apznnL5Lgz7Yfb4nuADad/oe/yz7BBCAXlq4IsizcyNSfS/6uZWPhTwv3vm0HRV9L9x5no/aR9DJz5Wnxym7KYdegzb05YO6U4yLgzWATiVegI//YbOv3c475A46tl1tN4pzmpxjsMZzdpR9UKjTxFyYonv1i715Tv5+QT32qOYoO9BPxSk6IGe4hjw92Pf/umWSbmjlv7Mz7eJ1a5Wx7zetTVGudFsFOJQdQGXZC6MeBFD1wi3l8crtCQzhHoKCFF9qHWw71l/f4wU4pu4E8WmrT+stOIPBb/KZ/B23/nxHzgEVZKcr9yFIqEOwdmuQrwMvSiqIg6UXeLlbKsjhBqTaGtH1Ql4d28/o70row2dHTeeynm/TBgRoLLjUPrTu2Me2D1Q81AP0+9QE+D6B7m09DessjYQinRfcSlL6myrERZtfXbqhqTmH/rpVGL2loLc0Etp012XjvTcfCoFq3XmKoKIfnwFqtem8JYh6K6eP9p3cXosBHu/ZO/x89mZQfS8ArmosF+g9nwdaB9cBVX/9tJ0PoOIUVpMjWgPQkzcVAGJgwCHoPmw/QSAxYoCMnScAeP89WH5s+uKo1FyDPPOjsu0M4gB0VH/yeeX0KH9o2ckJ0Lqbue75/LRX5snjse4EAbYAHmFnkIaBmjhC66OyfxotuLlJeuw+Pafc/RUW3vPzhXH67aFIN/6LWm5Ar2GbYNkZmaUgh33Hss+8+MWmnv1o06HtBvicB+wpBmyenDMKdpPPvjcGbNiPE3UU4+I+lfmJx98aE3a04M50KgB+yzqV24K5lR/VMXa9XbhprfItt+ulYTDgfnLwZvG21cs3vYBHkAhtOlwAAYDvAmKA84DhdptzqqpH4CPoBf9t7nUHwPAOQzY31YZD9aX4WP5o9UPhUL3+kK8zVKPPa2CHYR1+d1gfQHUVBHKu9gBN/k8wUJ4frH2DKUGuKfcfDu/E/FzV++WhrVcqECw/Ks7kHuCSDsTVCGmBinzck7lhQE0wYJ8WH8U79dJTlwQpx1HVVaUPwJfjLD73p4Pip65bVQ7BXUAMBLL9iVDJT0f1DtNziaHSx0CAkucTNx1qQXjdikzahcEcYGdoR7l4EpBpxbn6AjXgyt6nr3muv0iKAdwOciGBqg+tP3UA2Xfm9ZnWk2twsPne7OJNdwBM6IVhHdQbG88WxScN4DtorTHOC9wOPT16XwSCCH208JxTQY4W3bS33DhmCId8PQLOQE3yzZ+WfOPgY+O16LnTfgsWHhtPHh+n6SjIYeOBPubqbJmWA2ztB7UHambjVY1/EXP28zat8w64gH/2owZq1GJ7+oPabrTkXj/5JszJn/UK/AD08k3rVKiso+whVy/ddMhVqHNIUfxO+bY1uYfcnWp9ydWdz3GdFl1UeNS5VvTCnef4d61WCMADNrAHwGnHyeoHaPlsvDYAmgp77pbAd9j9HopyQB2Lc9He+9YdxT969RFacvUQCKq5WwomXt33oEIrDpCbKz7U4wW94XCPKvcC2NUcpY+qLudBAFi9pXMU8bim9l54EMd78aN6gKaUcacQ3QKBqJi+aPnERak65yPgbNWW09htbOkRIEasnPZ2ngcG79UPQJeyX9M9UnSgS7riS8FR+PSI5VTsGxbiZOPJ17HwFOeSnsczhKOcHrsuYP37VlOjg/sAW8AnHWpy8Fz4XbZcA/jBZ9QFIC0YVYCJVp77AB+VjwpOCw7AsfNZ1D9O4DGVF1prQA7UcQE0wHPMNjnvvfd/VOenvEIv8KeuqALPAzIoOgvwYxtuceJPW3jtE3SoOnYewL1Y96um6Gbf+Iz8wNa/+l1ttwHcL7zthp0X5MHKa2Q25OxS9KfnXdGfnZPaTz3/ISj7uYGKU41H5ePDMVTjY0X+TKd6R2qOsgvkCHHltqx4u3hHYKsFF+COuboCQ8jtG+TqfJZFQQ9bH44bhTue5+dd0bkeC3YDoE9BTrDguray56QCt13dVfjDznt1HsUf7CsYhLw+VvnD5wBfwSQUAGMgIP8nEMTxXSBlMclHIMBNoNQ4Avb1PbFHH3JzfYZ71L4LAUT7oVAXVN5h98q+FP9UHx5FB2gKdeVMUHLm6JWfe/FOMIdKPQCj6GrdMYfPfiochzl8zpG3+9a/Q5V2rLq+x4ODg4+qU5wb0TWUXdN2Gqu94XPzg4m6OMqLIjusmr6jok6wSLr1HgYC8vSbVgBsvl/KPgRdwCdR7BAY5Ab8M1yLufwQds/VNbEH6MrVfazWW3JXNWQTVdxBR8mvyppHVY95Oi04Fvk68/NSdUZmyd+n3MrLxgfYydWTby55US6ADtyLYTnsv9nCBBN0gO4Wni2FOpQf++4W/idV4ynQxSJdLM6x9Rn5OGiDsjvw0wCvYt3ZwYMw9NyjdT/dZwf2AehqsZVuSdUBWFY+KDW5O+Bi2cnhBXBU9mKw/KfAxtIPIA8BIBbr2GrlveiH2svKBzvPPoAr54/3hFwfGFnALSXPUdH3HF6wC1Jv5XGP7Pop0GOwIOfHHXCdFfe5frpoGC2/wz3sw8veA3YICgoEoU8/POcBQ3YedxCr+dQFeHBHYI8q544AS8kpngEtgzqDFVp0svkjVsMBaN+HdzSJF4ZzopoPevVhIIe0wIt1Xm0vpkdNK+TxAOgKH2EMoKeB11tzBARZdll9AA+Ve+b31aJDsUel/toGSJXTByuvvJ/cPyg6gcIXtv62q3m0/biFEDSAXKCT92PtQ7HOLfuw9451F+wau/U+e1T0CD6gS90ZpmFYJoBOfz3z9toAdqrwXon3B2Ri+01TdadAR9Uj6Np/TWX+d7Xa5l//qhw+Purqys403c82+zI83vryRxXsePhFLbhXv9jUyzBso4dhIvDeZ8fGY99Z/iCMP/UWjznHBB0KH9cZVJwFzBFubDnnAL5dGBHgrcpt65TuDgKBwC/e8bz+VIAQ5AQBcvcwjMP3RJjlDID9VIV+cC3vrbho/5UO0GobtOyo6t9xgAkIpxwC8AI/AzjYbMD3nN5h1vVT0AveAPqg8BeOYwDQfH48p949ff0I/Kg1VgLMg1pAdAP+UI/SCRUDXe35rOfqXg/A/scqPWB6G41Hd4dWPl7XFgcAsJnh47NDF+D2neOo4Oq9a77en7NX1V6V+eE9nPNiHFY/FO9Cvu/5egBfxbsh2MXU6FCdk+T+gDrMu5Xfo9IBVl3D9qcc8nhvvI6VZ98r9rHI54FjALmue2EuFugE+tyILc044A56BP//rMSj6hTeNETDU3LTruRYdX/s9dRTcRTqsOoxbw8FOkBH4eNYrNpt9NbfXByoPGoel1T8tVv4eY3MMjXnk3PAjY1nDSrxr8LDMKH3/vbljxqk0UDN8/NhqMa3asG98Ll42fbHP3jvPTzeGu37mW7trrGAvEtBjoWSh9WmCBfUXHYceOO1EAxQ79PWXfdh6f8vS/dGFT5V1QdmqXluxCv7IYeXeoec/nSOLlAZygF4Qe0WXgpPjh9AH249QCg4hBFbAb1KShBWhDpuKeIFiLHxgIvNj4Cj+ASDGBjoz/s9/hSfCnzY/aj8K7esvnJVqQDgYuWZyNOsfOaKV9mp8ushmuEoLfByL+fJ7QkKp12A7Dv3LEXYXfGl7goMruYECWBmi+0fKHysvMdBHI6Dwrvqjw4q8ACqJ/CUowfV1zlst4MZLb/y+qDYg/wea6/2mhfiIuiCXIHCLXu08X4+9uKHubrbefrvPBo7Guz7cNJOuXt8cIaxWiy+cnTUnIdkhsCnp69JyQcFuKlLlmE0lmfgQ4+dOXmKcwCuuXheWEFOHtX8jffXgV6DNeO/2OIEj7X+Yqg6i6fa3Lqj6L4AHQuvabox+u7+MotpHnsdGwIeh200OffirE2/9CfhGKmNAWBKPXcq8eds8nlovwVVP7Nev2XK06uj3mYD4v8Ddld4KX6o0LcFOZ+5JfV3V+C5eQwM8RyWH8fAVq28wm3v1YeimwZuYjsvQBrPSe2DEp/eB3S5gtB3j9dQ59PDOEDo991SF0BBQZ/1HNwDgdt87m2uMvwT8/ahtVdBT7ADcwBcAIe2Hq07ugunVB7ACQpKDXQt9Nvj/H14hJY33awlLikfx9Kr+h/yesB28Cn6udXXudiy07y/Q67zMQiE5+cHAUHW/Z+5vtv52F5D0Uc1MltK3/RxWhXoKNJ53x3olWMznDOw+lGhqaZ7662QvOW5e3ABVOSjoutagB2IFRSYlFNAoDCHsnPs/fQIOgU3tehUmBtRehBzdmbvfUTWH4pB7VVtF9zhKbm5oO7AH/rq5OjYdbXg4qOukyg84F+yZc3BX5SVjyoO5BqT5am2yV+NSjy2HegTE39oLQbrrmfZ3/zsz7aHfnucopt/9avNvfrde+yvydt9YecFOPPxL3mmnQEbB57WHArO026A/vbFOV0nj1efnTl6LD15PKCHx14ZpjnTq92zda27BvTr5TsOLkW6qufqAM6KlXYV7ijeyQU46II4tOgENq05wI5uIBT5lH+XR62dvyvr3c7f9l57njTB++/xHHm6lB6bz305763TttOIbcELfsr/cQdM4IXR2/g5QBb80ebnbltLjgIHcEe/HQOB1JvHaYOiD6w/7Tpyeim8z/rH3DuqOS29Ru6ug61xXsZ0vW/vfXdw2aMAACAASURBVHT68G7po0sAYPrwDLPw6ii11jRi69V9VDwuPUPPsA25uc6P6vsAWYq/5K/AcrX3R2oBX4/gDlp34cm7EAwAupwa9XYedl0rQk3P3sHmvANOIY1/A9uQtyeHsA4UPREq8FwD6oQrrQKF1P+OwEeVlcuT12uFYhw2fvGW5RZvqX9ODg/UBAu18BYZ6rkTqvDX1UrDskvFw1BNhJ1tfCSW3rn66LTN5q94wU6vuOIhGaz7FQ8CXJ+6IsDVYpsa2ne38WGSjtZbqLYLeGblUfbXFOaiovsz7bHlRnUeqGeYrGOKTrbdX1gB0MrbmZ4bC8C/uBBgviDABXlQcd5i47PxoSL/9GyA3IGn3caQDQW6M736PetWse9D1Y5WvlO544pdvaN7OpURteI4j6J3a7fdDRAIlOffsl6VNOCOtSp3B9dICajek+Nj3VuFu27rQwU9gg2wMYcnWABrM+cDNQKX63wmf8daBboCDPCEij73Fu/69Zy37qTWoaDXKdy2Tv6u8VvA6WO7N62Vu2OtHJ+ju8CWYp6rNlu14CgAAn+s0Id83ZU9KHx4EAdH4IHCq/8EH+w8dYOGCnih+BdyfbXpstHOXwuVe+oAw9Fahm9KWQZvcARuvaXUwK12nffrORffd0cvHdC9mu+Aq9KPbVeRzwt8svH03dWbH7UiAzkhR6ddx4swCAhcpxjHAzUA5/m7q72KdbzmKhNm4yngKWcPeXsSp+DFtGLqVnj5Blucg1v1mLsPiniLXpijQBf7+crL1eK7OZihj2OzPCbrxTpy+Jt6i83q/KieblOfXa02XmPlBToAZkY+FupQ9RXeWTd9STbeAQd4bPxlW5rCxrud17PsVN7DFF1i6jd/Ww2KTpEu2PhBgW78D43MMkDDYrBGubrGZN26z5Ozh/w9qjjgR1VnK4seZuXZ52UWA9sO/EHRydVRdU3WPftOgzOu6I37ytMBHHXvAXbI3bUPyFWgH5WKdwA3gM2Wa9rGc0HFpeyDltxtQSblx+4XOL6l0VtsPSAPKu0U5TjODxdTdwQBFBvbDugU/tiy+C6lB7T2OIeVBtBQtIupQCzSeV4O6LestYZbGObqyvNRfuXfBBuq8bc1VBOtv8BVQAhdAD1W60rME3YqxBEoyMsVGMjbfV+5PecBHzjp7YcXYlYFPcdXB2BXl68EFfdqPMArX1fuzmAM51H4EWPKTiofX46pl2pcD9V9+vmu4LonVOK9BUfRjftGfdRWbTkf1+U67Tjye6l74oacgLflvFjnFfubquSruKfAEAp5wZrLttOuo9UWK+9qtY1aIX0r2HfP9bmnmAJ2cvlg55m7J4+nr69qfHw4xo/1ZhzN2vvgDJNywP4PGx+s+2Bqbu6S4BfwYZIO2HnHHTl7BB3YBbpydld076378AyWntxcis4s/MRvUnvGYxfGKdIBuefoevCFZ9oBO1j2uE91nn3P2318ln0pP+A/Hyo7gUA2nZwdyJ+e1Wuspl4MlZ0WHFN0UvT12l3r1+8b6i6Fj5BzDPQBdFTb1Z7ee1y33RFUuO+O9cp3lItL4QG/fFfHgp6gUHQgdb3ggzmCcQD7qSJe7s5gcCcqfFR/impSYEF+2zoFV3nsP0HELTvq7xV/AZ27pYAQrby+g8CwRmAgLfCHaVDkqPQRWNl7pQ8eFDyPDz17Fff8XXpAHYOBK77fo+/RY7Ze4EP5AZ0tkGPNlQ6g2pq28+No0709RzvNW3MAGwdwNKkXCnacL4cBnajmbBUcFAR8Ak8KrgDhFXwAVnFOM/CASEoxnMGnko/1xrYLeIp6svoEhjB8k+Kaj83GIh5b7LuKeOT1iduCPCo4v6O2GqqfvmWFDMU+1J4831tu7A/AHrTcPI9XPr/gPXgV6MIz7th4HIAP2PjUnBfkPEf3ibkbys9ReWw7r78CZuXsb8Oba8J76QCZwhztN5ScAJCa/N1Sk3+GBeRxci4U5kLeHgt2FORiJR7Y58d/Up/9NOxqxwXQfUY+vKrq5dDWR/s+UPwX5zxnH2OYBuiZoPOC3OTz71WYO7PRuGfrjfuD1a17FR5ge5X7bsWjwlfv6rhbdQcgFQdwWf+7Ap2gIKse2nZR7SPo2pK7M1tf9KCgXF6z9sGua9Y9KHNQbKCMn43bQVU/3CNlp+UnoD1d4FwEGgDjNX1ffugIgJ8g4oA76MCsRYEvzN5zLJs/yPOpK9wQ3DH35zcAW3AzqivA43P14YUanMt6i052n1n6OHAz2Ho+rkCg6/6STIc/5u9U5+NrsF2xsfoRbvZjMU+tOIp7sagXWnUOpYNekU13JR88bBMKeQQDrD5vykG1CQRaFOkyoS8fC3b01lN8j4MfwRbwSdTalyu723j/dxBkHPRCklze7T/bCL+m66Ll19Yr+UCNAyBfjzm75+3ed+c6lXdecRVBx64rhw/vrUPJ/Y21vI8OFfdinNpvAXpX9mDl1WrzCjxDNBTkUPXTS8r/JkD+5heHHRv/+mdV41F7rLwUX203V/Co5LHnTv4+yOH1FNyP9nbMX0Ul+GXnGaF1hUflI/hnNpsPrM+q37d+lcIcMGPdXb1l4QG5iq33xT6KHu29tgBeu2ttFfHuWLd8Tzm5ggHnSnf9XOHOAHCuAa0DG/JzinYhVx9cA+QQGCLMAwX/R5rgbmEQAELw4Fiw5xz++L0CP1yT4ocUQPtY+lOLz3tKQFXfYaeg6Lbfc30/71V79mOv3ltzpwZ0Avhu6UNOL1sf8n2m8MLUHapNAIgtvRgMHOTTz8z7iG08r3w9KDnngFt2nZaeYA+9eE3VeZEPsMt6mu6W1N1B9x58tPc6lwFS1J4Hccjfb1pxyffd3rvKl9K3dd0Dgt8H2EBeDv10wZu6JZsez8WgwDXs+xB8V3m+Q3UCBQH2WT6Kqzw9zMrrjTXxpRahxUZ1noEaWmx6p50ecPH32C1JxS/qvfN653x4nzyvpR68cTa+eXag9FHR2V4U6IkJlD604UIlPlbk5yd/HRTqYtsNlUfVT1t7WfkxHoQB7mDdw/vjpfQC/YIq8gM7T0+eR2Cpyr8YPvFGQe7MZvO+rTfvG8CvN9zCD6rwFVfwaOkJAOyvVx8ES3/HFR7LLpsfe/IOerd4V4Bj0wUmUKKap6rxfuzKPgQ8PGhTuqvPReWPW8HOd1HgI3CE/VbpngeO6BhIDWgHElDoAqD0xXsCVp8D1IIX6PSdoQMwAJwagYp/7jRURKRoR8AIT9jJAVCpD+rPsToKHMsFhD47hTzgpzqvyn6o7g8A92ue0wP8bWsov3erH0FXxT4U6vwZd7fwKhpmbyrHprpPHYDrHig4HwF3tQd6PTVHcS8U7tRuywDkiJUpAPLsvK4RANzGo+YRYBX8ZPUJFPwGYLqyO9AeDCjAodZSb70EkwBw27ww5+CvpU/dg4VXDv9P0KnCR+gB3fvxMTXwwh6KrnYbVfgwTcdWCs82/lGKUJ0Hds/X/Z11rub+QIvUnT8w8dbfbKOiXHizrHJ23jMfcnZtZeOx8IzI+mw8as1MPJNywD4Ykx33fSCfn3Bldzs/bLX5UI0X6XyYxltugK4inZ52G+btMy9R9wA6sIdHWwV6v/XAtJoPbKNx31ftnm3Elhuw1x547o51j+erD0Lhzh1Ah6GbmoOPqqPWUflJAQQbQJYd/ginn4823vNzYMQBAHKreN86hXvmQeO+tUphGg9AuR5A1WfI00v3tPz4npTcf+uetQv3VcDrFO4L+E7Jvxsw+Q2O+T4CTjt/z9q5u9bM8Tv3BC/3cT4CzJaKPeAzkedBgXN+3nN9ghvfdW/gBNTWoxWndceHbk4FgAinhnEIBKG/31px+B36W1Zbpk9/a/BIrh7FVTWf5+Qd8hgMeMc9+z5U4wFB8KsC/89A4Krt9r22dNsqy7dD9R4oKch5ri6VV2AYQs695NqeAgTFTzvMqH6EHvVGrWXlY16eumvFDAp+J+TxDjqttGj5ZeGBPHlTD8PEPjzQcy22+CLc9OH/Afycv6GGyrxD71N02Hem5pbDX4khX48FO7YqzGmA5pLyc1XlqdBTpDtVmSdnx9pj19lPTKDy/vw6bbdYiR8Cj8L7FF3Mz6XmqsD7UE18dzxDM7yAUkM2vKiCPvuLc1J9eulR2b0S77n69MuzRnHuzEbrvm20HthG86H12/dtvf7QjwP0qsLXaMHdH1h3bD7nZdnrDvg6kJdv6x7l5dGul7wgx+dVrQca5dEeDABflpiWW24YBLql29YtPxhAC+AU31j6fOmOdYoPHPQAoqAv3rNm4d4gQAjS8JsU1ICdzwvsAgCjzg5yt+Cgy5KTLuRd/fmcVD7cB/ynHUCXQJG/a421uwoOMXDw76H918zd0/+N6601AsMda60BOAM6rvCcQ4XJqSPgvBFHFXoesMkyYYe6UzS84/m8FP+O+X3+AI6GdKj2A3oIAlHZvSAXi3g8s++/55V6XtLhCzWvZu9oCfLsHYedc8t3dZ8sfva2VbL3lJ/zWXcBQzuPree+Svq2lTN3ZddRctTat4DsQWAtfVNFu6Jgd7B5qq2wdEc98zxtOX12WKTz9837zD2FN7XieCIvBoLwRhvUnDfRrApuHoIZtZV5KvY3tVWOziOvM9f8r8UM7LyrvZ5zH/zxiPBIa+izC3Tabno7DUp+RWqe5qEYAJ/4TS035e68XVZK/qfeSMM5VFxKHqbnYttN7Tam5wD+tefmsfLuD8D4IA1wqyj33PN1nmsnAEjdX/4oyIH9zFb7sW22HgnurYZDTs5OUY4iXb/h+bvsPCou2w7Q92yz7qq+Hix+u3ZLKk6uTwWee8nV+xT1yretX31i7epz61SeWqf8xDrlR9YpP7R25aG1tH1k7dJD61aeast+u/LIWsUH1i091P0ct0uPdZ3z7DdLT61VfmJdwC8/sVbliTXLj61T5L7H1ipz30PfD59pFx4oUHBeQOcfelABdgDPs71vneJDLfYJEq3iI+OzQAucBIl64aHUuVN4oAADeBF6IMdBACj7vuL+Ax1zzWEF4rtWWwN6zt3VeQfSIXdrT5Dw76yt3QufvWf11XuCN4LNdzqwAM0C3iHQnCupMIdCD8/Lgi8FSAU2cN8N+Tt2/HbI81F7rrnql7O3rbR0J1yngn7DSklqAZy7Z8XUfSul4z733g3X3MoDsxQ9cVdqX0zft2LmjhVSdx32xE1bSdzSMI3y+FjlD7l8Tj330HcPb7HB7vvgjffeV2Zv2vIsL7W4pSLcCgqvthrDNP7aaJ6Go8eenRm1ZS0KcwQCqvQhIPC66RkegLlqy1Pef09NDt9W49Nz/iw7vXUWbTa9YRbY1WtnsOY3I6ePsJ8G3/N0t+7RrnPOq/HhoRg99QbYZ/01VWxfoubf29QY++el+me2u49so/vItlqPBPxm47FtNMPC1gN60yvz/dpDFe02OBcCAAMyQI/Kq/pOoY6CXuW+w16+Lxu+23phx1tLtruRtN1+2ra6SdtZT9t2L6W1s75kmx32M7a9vmA7/UXb4d71hO12k7a9vjj4zG4vbXtdPpvUua31pG12FrV2uinb6iZso71gG60Z2+rM22ZzVmujMWP91rz129PWb761jdaUbbANa7M1Y1rc35rRPf3GtG3WJ7XWK2+s35y0Xm3CerXX1qu8tG5tzLrVcT9XHrdu6ZXOrVfHrFd+Zd3yC2uXX1mr/Nw6xTHrFF/aemXceqUx3dsqjVmrPGbt8utwfVzbVmncGoUxa+aeWys/ZvX8c2vmXloj98IauadWX32qa83cMxus/BOd43pctZUnVl3j/ifWyN23Zu6xVn3tkdVWHls1+8gqa4+tsvzI6quPjfOV1Se6xmcq2ftWXXlg1azfy/dxL6u89FDnS9lHVl1+qHOFpfs6zzVWKcO9T7Qtph9aIfnYcqmHVko/tlL6qRUyj624/NgKS48sn3loudRjy2Ue6R6O8+kntpZ8ZIUk1/j8Q10vJh9rv5jya2vJB5ZLPzCOVxP3LZ94YPnkXSsk7ltu8b6tLTyw1fkHtrL4wLLzD2x57r5lZu9YZv6uZWZv2dLCHUvP3bHMwn1Lz9/T/vL8PZ1fnrlryzN3LDt7zzJv79nSzG1Lz9y2pZmbtjxz09IzN7WfmuHhmtuWnh6xzNsRS0/fsNTbUUtOj1hy+qa2i5Mjlpgatfk3V/ydc7yPLj4AM+42HlWPhbq4pQIP4CrOjV2wmVf+kkmOfWTWx2IZjdVisOalD9Fg789stx/ZZuexQN9uP7atziPbbD5UcY6tbD3AU5lvPTRBrkr9PVvHwscF7LWHg+q8Q3/f2lV68Xdtr/fa/vNDzd6fNOzdUdU+nNTtw3HT3h037OMR27p9PGna+yM///G4YR+OG/bXu5Z9OmrYx5OW/XXStr/et+3Tu5Y+y3WWvvOdfw/7Jyd1Ozmq2bv9mp0c+PL9hh3tlux4r6ztEdu9mh0dVO1kr2rvDmv24aCuz707qNr7/aruPdkt28l2yY53Cvrc4U7BDrbztr/Fytne5pod9FftcHvN9jZzdrBd0L3H2zk73szZ4caaHfXzdrC1aodbRb+2m7ej7bwdbhXseCtui3a8VbSjzYLO72/k7KCfs73+iu30fG13V2yrs2xbrSXbaC3ZVidj25207XSWbKe37Nc6y7bRSlm/mbbtZsp2WinbaiatX0/bRiNpm82U9esJrfXaovUbi4P97XrSNuoJ22qmdG+f67o3HNcT1q0tGJ9bryWtV2e7aL1q0jrlRetWElrsd6oJW6+lrFtLWqeSsm45o3t0jethtSuL1q4sWKu8YK3qglXLi9pvlJLWKC5avbBgrcKiVrMwZ/XSrDVzM9bKz1qrOGfN/ILua+eTxvVGftYaxTl9zj+btGY+YY3cvFVzC1bJzVo1P2PV3Fsrr85YKTtn5bUZq6zNWmV52ipZzs9ZMTtjpZVZLfZ1vPTWSktTVliatFzmjRXSU1ZKT+u4kHltucy4sV3LjFt+6bVWYXlC29UU530/NftIj6Im37iiK3//v4CObWfRivMKPLCzPxyikXUfO+/wvzqnlhtqPpiHF+jdJ4J7u/vEgF6wt1D4CPuDAeyy+ASBNgHgvuCnYt9vPPI+fP1hKNa5wlO40yrds73eG/v3+4Z9PK7a++OafTguCWoHuyHQAQ3ABfmhQw7cn46aghzYtQLcHw/r9oHAcNjQ9v1hzd4fNezdYQCd7UFNx4CrBfxAvd8YBIH3B3Xjs3wPn/f9ln08bHiw2Kva8W7F3u1VPUAQLHYrdrRd0jrcKRrwE0BOdithDfePd7ivaO92yvZ+t2If9mr2bs/vG/y7+A0+H37jeKfs371VtIPNgtb+es72N/K2u17Q2unlbWc9b3sEgw2/b2+rZLv9gtZ21+/b6xf9uJez7V7OdtbXtLZ7q7bTW7Xd9TWd5xr7+t5eUd+71V2zrc6aseW3tvtrttFdtc3OqhF0NturttXJasu5zU7WNtrL1m9lw/6KtlzbaK/YRnttuFpr1m+u2mYrb+uNnG20ctZrrth6Y9U26iu2Xs9Zv53TtV59zXo1v9arr1i3mrVufdk6lWXr1rLWra36fjVr7WrGujXWsrUrWS2us98qZ6xVSWtxH4tzzXLKGoWU1fNJqxcS1iimrJZPWb2QHiyOq2uLVsslrLK6oH223MM1v570/Vw4lwvnc4tWzS1aZW3BavmEraTG9W73NH/RNb6wIoAebTxqvsDTbxM/C3Zy9FiYm3vFAA1/+smfaZedR+VfnrfZ8R/1Z6HosUeFPyPAu4/MQX8s0AEeKx8Xyj6w9u2HAhylR+Up4qHy5PNSd/J6puwC5JzDxgP6/3zftA8nqHnV3p/UXNlR5aO6lP3DwSnQAf6kOVDyTydNqbsCwYkrul/nnrBwBocOrQPuxzqHUgM+kO9V7eSAgNC0o7Al4AA2/xbBfuT7cgQBdOAGQEEIiKcWkLL47ve7Vb+PczsOPNt3O0V7v12x99tlLf93cH9JwUHfz2+EIHIYA8mWQweEu+sOJrA7kAH8fkFgAjnQAyX73BPv3VrPCc6t9VUHu7ti213g9s8C+p7gz4fvBuacIOeaVrdgW528bbZzAhfIB6C3HeYINbD3W6ta640V26ivCmz2db7px/0mwPsCeEAH5n6DAOD7gA3onXrWOnWHu1Ndsk512TrVFQedbdWBB2CutctZa5eXtG1WhpALeKAP4DdL6VOgAzsrwpoIICesmktaLZey8krCyquAm7BqPm3VXEogc72ylrHKWlL3AjdgV/JJK68lrbC2aKV80jLzr+zti19VmWeijiq8j8/SjvMF8IMKfBiX5VgFu/A8O4+7AjZWfnaMdS4o+wUfpgmwn9npPrWd3hOBTmFup/XYdjqPbbt5Wt3dztOGczUPkMdqvfL4Bw5685ECANYd+Lv1e8rZ9zpv7N/vmvZRat4wwEWdPx27Sgu0ADDWPF4bAD64hnVvy7rr2vEp6AH5uGXvDzuGSgvsg9pgH1suwPdrA9V+f9Sy9wekDKQB7QHkuAvujffL+u/V7Xi3FlbDjnaqvrY574Ci6IKbYBIDxA4KXrV32zWp+Ycd4K7IYZAevDsoa5/79RmpeVEpAFY/rl3ZeAdzd70kGPc3Sra/6Qq+118bqDmwS9nXS7a3URakAIg6A6/UvuPwCnTu6QL62sA17PcKxorOYWe9aNu9wmBttQum1c0L/q1uXvBvdnLG2mgVpNJAvIF6N9ZsvRkgb636fsOvAXS/WRDcrt45W6/nrVfLWa+Gmq8JYilzbVkBANCl7NVV61bXrFP3bQ+VF9wOOKrfKgF12prFtMMN4Dq3bM3SklajuGSNQiYoeAQ9bdVCwmprS1YDaFYhZZVVh9eVPC2IdZ1rgh7gCQzheA1FT1ppbVHQp2afGX/KSf12qvM88qpeu/fblbczJht67DFXPw06ebuUXTm7Ay6FfwXkbuEHiu6Qu6JvtZ8a4GPRUXCgx8pzrHOdaOnd1qPoKt41vAev6brQelMLDnWveKV+pzdlf79vKzePFlw5Njn4cUvwAt2Hdw5dvCeqOnDH3DwGgo8nHbfy2hI4OsZ3SMH5LtRZlrwlW446O+w1O5Fycy+/h01v637qBfp3HLq1JwjIHey7jQfok916UHMH/XCXLW6hae92KnayV3ewBbqnCgQF/bt2cRQN/TveHzrs/Jvek1IoPah4HWCrYidbVTvYLNvxRtkOtyoD6Pa6QcU3UfqiFBxYd3tlHRMEdMy5fsH2Nyu23S0KbmDeaZ+27nxHWcGAz+0BP8D3c7azUbDdDb7T1/Y6TsEDyE6f4FEw4Ga7KchJAQqy4ij+VgB8o7UixXaY18wVPTuAf6OZE+Cbdbfw68HKY903Iuj1nBEAuo0V4zrAs4/yo/RS+yrHa1JylBpLHxXf1X3J4RbgGUPFUXlt2S+lrF5y0AG4UWQ/IzVH3TlGnau5paDg2PJo25fDvqt7PZ/xewAfNS8mrJxLKEgQLJYWXtnMiz/Uc2eKbjhQQ87uz7XzlJv+Tjutt1MPwEjp9eKKn21+7EefmZeaX7DZ8fNSchXrsPKC/rydAXSpOsrefWrbnSe2035mO73H2kflZeU73oLDxhMANltPBrYdqDdq961H773mvXhN0NXuevGu9th2W5P216emQEaJ/37XsU/vuvbpmK2r8qcPbT8GfJSaIIC6U4DjvpN1FeME+Pu2wOY7/nrfG6gxqkyRz4t5TXuPcwhFO3L640PsfMzHW4LaA0zLPr5D1ZsqDgL8hwOux1y+akfk1ag6invQsuN9TwUE9j7Fv4ad7FeUi3MOeHECuAAd7zQVcD7iKA5CqkC6EFzHR31f3d7v8Bs1O9ok7y7b3mZFKrun/LxkB+uu8lLzDc/J2UfRdY9svAcBWfl+2XZ6RS2UXIAGZScIHGxVFQy457BfEfT6rn7RDrbKusZ9ChjA3uM3S7bTrcjCb3UK1u8WlLeTZ5NXY9tRcRZ5PDCTi281CrbT9oXCbzSLthGUXGC3Cp6bN/O+bbiqc01K38hbu7mm/XaD3DxrvTp5+JKtN/JSfSl6NWud2pKxj6JHG4+Kcy9L++Ula6D0Ah3FXxbQQI3Sk6vXSymrFQHaoZZNZ7+YlNpHiy+lL2asml/ylcO+p9wBrHk6gKrjHDJzr2z25WWNyg5n5D1fR9l5Vl2PtIYKvPL28LALqh2n5ubHL9jcq/NS9kHePu49dc4PFb37XIDv9p4ZC9Cpwu90nth2C/Cf2dagUOcW3nN3t/FU4lWRJ0+v3FXbTTPxIVePir7dnbL/JWAdXqrpqqgL5rb9/aGjgtun902B/eGk48GA8wSCd0376wOWnsCAunft7w/r9ve7vkCnGu92vydQCRIOfds+Hg0XFfwPR10pOdcJIASS6CAUYI7dVaD25O3qCqh41xjYdi+6oexVO9ir2T55+S5gt+xktylQgRWVB3LVIfYbXog7JIiQXjS1Ph513WnsNe39ftOOqfYDuoAvmyDerLp6q/BGAc6VlULdoBC3UbaDfl7HUnruUeGOIFC2vW7RrTtFtz6rZPsbFb+HAt56QUFEyr5RPAU49j8EjuAWUHZPA4q21WOfvD1v252itgAvsNslt/eNom22irbdIufH4q/ZdrNkG52iLH6/mRf05OW9dtF03CoIaKx/t5W3fqNgvUZe96PoruKeoxME2rVl2Xe38F6g41ybvJ1cHgtfzihnH+bonscDvYpxJYpy0cqj4Muu8ii91B5gXeVrFNxyrvRS/NKy1WT9/V6A55gAoNyd3H41YeVC2pYXX9vsuD80w/gssKf0Bx5DFZ6/BPOGt9f4iGwEXVae4lzI39+O/xj+YMTPUvaZ1z9JxanUz7wa5uvK0ff6z2x3/dlA2Xe7T5S3o/YqxNF2i4tqPAM2FOgaD3RdhTnydAp0FT9Hfi6lrz9S222rvNOiRQAAIABJREFU88b+871b9I/vW4IYVf/3+67ABdS/3gN3T8W1D++69v5jz1D5DwCutlrXPgH++54+r/uB/cN6cAVesVcb7gRld9WXqh85tB8OOwJfDkH1Aez/EHYUncVnPhy65Qc+5fzAji3fb9hxAJhjV3av8Hue7TZeVn6/oc8C9ce9dvhOTxU+7fP9YeEeDvgu8nR3A54SVG1/G2sNeK7mKDqAovi0+CLsVOSx266+5O6APCzW7fdKst4H62VjEUBICYYQF+yAKn9IGVD3g42aHWyi+J7rExyA2fP2ova3u2WHXFtALwno7VZewQXgCQIoP1vy9+1OWcByTRC3CwO4gVz2vb6qiju5+3pcKHsz59Yda16nWJezDnk6dj5uG2vBugP5irVC4U5KXnVFJ4/vlNy6K18vkctng5JngnWPln05AM42qnu07b6V+hc8hycYoNzuAggIKeXsyt9LS5ZNvLCF17xk0v8gRHL6dz3+qjz9zc/hHfG/edWd6rv+OMRwS85Ovk6eroVlH/9RhbkIOVX3gXXf7j2VYqPmsvGngJeqd54IcpR9G7jJ2dvk6KHNFiryVN4JAMrTG4+k7JzbqD/SOliftv+FigP0u0YAvee98RNXVAAWyB879vGDLz/2YAD0QExwIEjgAv7zQ0+gExhQedQ6Fvgi6AIZ1TzsCCwUXvfFgiD2X/8Gh95h95xd+7TdDpoCHMXWkirXBecJKs75vXa4Jyq5Kzb2XaAftqXY+vfxbzhsGWr+8bDn/7bYw8fyb1PsqytPl2vYKsvG75KXC3pabmXv5aPqfa6T0wNreWDHuRelBsw9XEHIuQkUDnBlkIOj5EcbVQWRwy0HXMf9qu33q0ohYv7vubpb+K1OyYCd7el9FDyeA3L2pfJh34t0wF+yDRbFu07R1jsOOurtLbaCrTdKKtbJvtNqC8BHS0+1nnzdtzEQeEsN0AergoIDetaa7FeWrFME8LDKQ+uOffc8PRvy86jenrsDs6t7WmqPegM2gUDX8sPrA+Bl/z1Hnx//0//007Q/166/AENBbpLJOf4gxH8dpqHi/pNDH6rvvDd+UJmn5Sbbfu5Urk5R7pyd2Vt36+55+nNV3wV9sPRYeZYUvfnkH4U5gFfbTbD7cA0BAIWX6gfF36w9sl1A/9RWQe7fH/v274/k1kNF/zd2HJBR7g8d+/Rh3f766Ar+96eeq31QfQJCDAqoOd/jBTrP+wX2oFDndn9g4zmvYOD3/vWub3+/3wgOATdBqtB32x/V9rAlQFU0G1TuvVqPvX930Faln62AF/TevqMmgFIPlFtweyoh0PXvCceo+n5TxTry9Jiro7pA7flyyeiVe27t8Mdc/QjrTr4tiF2x2ZdiY703PN+WYqParI2aQ9yvKD/f79ftcNPX0VbDjjfrrurct1ENBT8v3vF95OvDRdGP6j3nh/sKAr0QCFSpL0vRpe4ofNdB77eK1m8XpPCDgpz666j9mqAX4HVacfnBAv4IuqrzNa/AR7hR+qj4fs6r8EMrnxXotOJa5dNVeAcdKy9wZd3/Ca9AH1TqXcVR8kEAGMDvQYCcnUJfdv6VOeiu6nqBxdTvlpqi6v67Jd7wPvjhK6Opyi9O+OCMJudOPdYq0F9f8Jn4cfropwtyAfSYm8ftsDD33HY7Dj6Vd9Q9ws70nCbowkTdVvPJcMCm9Uxqz4gs9j6O1O71Z+x/fezZv7X6UmKUWTZc9rtrf30EcFZbkAv0Tw6+Kzh5Ofbe8/KPAE8wUM6OU+hrAauKdCfr9uGkF1bHyPs/nfRV1KOwFxef4zs8BXBnwHe4ze96Jf8ABe5Isd8foNytAHg3tPPaOgZ27gNuAc6Wqv5R0z4dEWR8+CemF6h7VHhV/mXhm/Zht2Efdup2tF3VOtz2ohlKGwtj0WIDutR8ozZQ9sNtV2SpPi24DS+mact+XFLruqs7AWKjYYdbEfTWAPqDTUCvuyvoV5TfU+UfQu6qPgB83UHfajv4UfGx/VHlvSiIC/AgIGXvOOwAL9jJzQPUg2JdI+etuHAP8J9WcmD2IZowSCM7T3uOirxb+RgE2KLubIFc1h7YabUFRfeiXMzRA/zhmtpxIX+P98etgsNp0Af7WVueeTEAHchRc8GuJ94cdkD3h2J+tQR2Xi+cHL64gmtRzbHyqDlL1p1n1+MAzdgFO7PXe2ZxDSE/VYHvBcDDeOwAeLXavNeu1lvL1d0LdcNhm636Y9uqP7WDzVn735/W7T8/rQv2T5+Car93+KO6Y9kHdj2q+seuAfWnj1j2XlDgns5xXsAPVB6F95Tgw7v/ArrsPS2+nkWrr+DAv+E9/66+goiuHfXs43HPC3dU8o+6JsD3qKw75AIa+IOqC3J68QPY3Z4Pi25NzQ8w6ffpuHeqw+ABQKO++7TmGvZht2Xvd1pu4beAz8EF4P1QJQd4rDWQH+6gvsNgEMHnOqossIF6o2qDIBDUPEJPUDjaaul+tiyp+1bTUHcCgHJ2uYaq7a6XBfwe4K/TgqvZ9jr7VdvpVm27WwmBgG1s8ZVtp+tB4bT6C/5G2QFuFb3o1qQPX5DKqzIv4L3XDtgxGHTpz6sqj313Cx+n51D4Dj14thVy+Thcs2ztGpAzdOPWPk7RtSsOPcoshS9SnFu2Rii2cR6V1xb1PrXiuYELUK7uSi9rrz5+1pbnXtnihL8/nnfUpXiuPb6sYpL30PkQzaC3PsVbZX8S8BToBkM1b/zpNk3PvTovaw/o5OuxxQb8Z1By7Pte76ntdV945b03HKIhh2eARkM02Piu23cBD9yhz+6q/shVPz4gE7eNp7a/MWP/37+9cPbXp779z7/6rsafOsYx9vxjyLc/vt8YKL3U9sOGffpIwc0LdBFut/d9A+hPHzbt04cN7X/80Nc+llxQv1+3D2G9O+76Pe837N/6zKb9+92mBw9+V65gI7TzUP++fWAd9ezDATWAnn3Y70q9BT+gH3ftmPw7Wvg9hna6dhLqAgSCaN2pD6i1SLuQij/WnXXIqG9H1XfaeuT7FPMA7Gi7ZQebDbfu5NACHRUv2+FO3YOACmg1O9puOPS7jQHQ+vwO9t+DBPACPAEgBpCjjdoQ7M2mnWwG0AF/p20H282B0ru6e0uO78HC7/Zqbtm7EfSg6B16+jXb7VX/CXuvpKCAIyAgbPeqytOprAMwgPfqVN/LOiYQqCinwRr67UOl9wk6r8aj/p0afXby+ry35FSsC3l6he2qtatewBsqvJ9rVdasxTRdZUVw024D8ppy9yXBzjFLik0QqFCZT8kFUJlv5Mnpl6xa9r68FL60ooAA7ASMzPwLVdr1nPv0lcF75wT82z8srffP/WELAD79i/8FV1R90sdiF978rEIdUMcRWVXkxy/Y/DjttvNqwcVi3Zn9/gvb33gu2KN93ydvD7n5dt+r8budx7ZLrx3o2y+81958apudpwbk6rW3n3rBLo7PNh7YVvOZru/2p+0//163v/9at3//3bePnzYdXgD+sG3A/fd7YA3r44bg/PRxw/76uGUfPm7ah09b+hz7f33atL8/beiY/Y/v+269P264Jf+wbgAPuFL2d+u6B7VXQHm/od/iO/7i+z5u2V/vAugn3rb7EKAH9E9HG/bxeF2wA/HHw76daK2rmMaxO4C+Hes6RUFU2/N+inqArQLhEW29ngKEgoEcAwU5cvSQIlDY22vb8S6gN+x4x6Hf3UbBa6rE724zSNNUEDjaptXnFpyt4N4GZHrybYdUbqAhlSZwHPX9uz2YNFy1N+sO+XZbnzvebtvhTkvBQ5YeVd9s2P4Gy/f59wjmdax8UPp1tr6/ofMeAAAa9UfhlQr067bXr8u+b7ZKttmm3VY08vXYY0fNpeDBwsuqt/Kqvqsaz4BNyyfpBja/wUANSu4FORS9XXbI2Sevp2LfYmaeaxXvycvGV9zOAzt5eyPYeuBWAOBcMQQC9oPaA3S9QNXeA4FUv0DlnWEab9MBeiu/ZNm5p7Y4wV9uvWhU3FNv/1AF3v86zB/K1WXnp/wd8eTsvrDw/oZZwF6c/NnmJ37U025AzTnm4wkAsvJMz43/4op+EGA/2Hhp++vPBLQCQNdtPdV42XsUv/vUgWeoJvTbUXX13PUk3FOfkW8/lbpzfrP53NZqk1baqFtxp2WV3ZZVt5pW2WlZba9rjb2+Ndnutqy5Mzxu7/esd7BhvaNN6x1s2fphz3pHG7Z+tGnrR33bOtm27eNN2z7p2+77Ta29d5u2e7JhB++2bO943fZPNrX2jrds96ivcwfH63bwvm9HJ1t29I4ta8MOT/p2fLxlx8cbdnyybicnm3bybsOOjtelzseHPXsH8Idc79u7476d7AGsX3+375852u/ZyeG6HR+w7du7A79H33lIOsFn1+3T0bqAZ2QXNSeY4BiiM/i41xHgx3stO0ZRd1Dptnr2+1sNqewBMHN+p2X7O66++zttOzroDO4/2O3Y8V7HDrDi2zVDvamiA+5JyMdRdxXfNjygvNtmFqCjgAHsRwK/qaDDb2LhPchQFwDWim11ap67r5el1pudsu2s1wQ1YMvSq3jn+7uqKdRtV6A3pOrbnYpttPiukq1LxV3RBT3DNHFMtukjtuTxwM15wGafaj0tOBRdtj222gQ01p1cfcU6Qd31cAxz8eTqlVxQdG+zed6etWaZgLHiih6Kdig/uTwVe/J4teY0abeq+6oM3JQICEtyBPViVn31VmXFlhae6e+08TYat+68J/5Ph33GXy6p3H3yNym6qvCTPysoYOf92F84qfFYAR4efnnlfwCCXjvw88DLmcPNMQPqg/UxO+ij7C+1RdV3Oe49M/ZZ2PsIOr12rU6o2scJu9apR15R9uYTW289s1vpabuQSthvy8v2x3LWzr+ZtD/TS3ZxZdX+XF6zKyurdjmbt6ura3Y5u6Ljq6srdm1t1W6srdnIWsFG13I2ulawW7mC3ckX7V6xYHeKBbtbKtqjctEelPL2oFTS/mPOVQv2vFy2l9WKvSiXbKxcsmfVso3VajZeqdirStkmalV7U6/YVKNi0/WaTdXKNtus2EKzaolW0xKdliU7DUu067bYbFiq3bB0q2GZdtOWu1XLdqq22mloZbsNy/VattptW65Xs+J6x0q9tlU2OlbuN63Yr1tlo2W1TV+tra41tlrW3KpZa6dpze2GjusbNWtuNay6XrPaettqnao1enUrt8tW7FSt1GFbtkK7YuVW1cqdqlW7NSuxmhWrtmpWafm23KlZo9ewWqtm1WbZGrWibPTxDmpet6PdEEA43uxK7ZWf7zbt3W5bC0eAQ5CrQOGDi1A6cUrddzcqttMPFr1XtS2N5FZso1cOkJOrNxQYcAC4AoIEwWC7W7etrm/J3dcBPrbd1HrzwRrUvkfPPVTnmciLAzZArvZcUHspdy3nyk6/nvxdPfiC9atrOh703inUBSVH6QV9zN15mAZVJ3fH0gt0KvS+XMFXZc1d6WnfBcUnCFSw/m77AZ97AJ0/BMErqQAdJU/OXArKTr7+pyUnfxusxNQvDvmbX3WOHH5hyl9gIcsennBjX0MzWHoKdFHRDzde2sHGK0PN2UrJUfj+C9l5AS7InymHR901XAPYPAzTfqzqPAGAl1jQitvF9uuR10dS+vXmc7u2NG9nk0t2NsFK21dPXtr5RMbOpbN2NrNk59Ks7Km1YufSK/ZDKmtnk8v2Q2LFt4t8fsW+X/TzZxPLdjbcc3ZxOZxfsx8Sq/aDfmvZvl9YsR8Wl/QdPyxmdfztbNq+m1+y7+bS9v0C9yzbt/NhO5uy7+ZT9t1cxr6b8evc++3skn07l9H6fjZjP8ym7Nx8xn5cWLazcxn7fj6j7fm5jJ2bTdu5mbRdmF+yH+dW7Oe5ZftlIWs/Ly7bL/NZ+3Vx2X5LrNlvi1n7Y3HF/khk7I/FlF1MrdjviRX7fZ770vbb/LL9sbBkv835/i+zSft1LmG/zbFN+fm5tO7nnl/n0/b7bNr+nM/aH3MZXWf7x2zSLk3M2p3HT9XrxSEA+wm2PNh1KTc5+XbbTna6vt3v2gmOYCdY+R1ydax8S6Bqn8LddkuqjtOgKAfIsukbNUO53caj/vTt2UYn4NZ9u4d992KeV+HLttmpu6qrR0+hjsGc0Iojj+/kFUyG7bmy9XistVlwRQfuxpr19GScqz5TctG6U4V30MMDM1W38m7nXcEBnKJdkxSg7KAD8QB42XuKd57Xy8YX/dgDgRfxVMgrO+T1yqplF57rtVO8ispfR8WbZnlDjUPO46upKaD+ZQA74C9M/RbeH+/jstj0aNXZAjq2/XQ1XtYd0B12QPd9jv8P0FH4rlv4OEUH1FTqt3vPBb8/8no6ADAv/8w67Zd2OZO0s5msXcgs2/n0kn39fMzOLabtfGbFzqY4t6p9HWeydm5pRffzmR/SDjOwf59cte8SWfthEZBzdja5aueSWcHPPkHgfGpN5wkQHiSWtCU4fJ/MKAB8uwjYSwoA386l7JuZpED/Zn7JWF+H7TdzS8biXkD/ei6jpXvmMvbV24x9O5O1b+ay9vnbtH05lbSv3qbsy+m0fT6Vss+mE/bldNK+mPLtl+GY7WdTC/avyQX7bGrRPp9M2udvUvbFZMo+f5O0zyaS9h/ji/aviUX712tfn00k7F+vE37+9bz9x0RCi3OD9WoxfD5h3O8raf/jxbT9jz+v2M3L/BGCcVfn3WHuD9xu0b0IF9X8HanJXtdOdjpaAA3kOAHP/VsCX+e3moIfKx5h/8f+Op0Dcnuq/3WjZx/zdO6jYr/VrQheYHdldwsPzJvNim1ppHYIPKpPihDVH6WPat9puoLHwh3FPfJ7wa2HYhx0H8LxirxX4L3vHnvvqs5Toa8FgAPoUviyt+ZwAIK/tCrFR/VZVOQHOTtqjpUvr9ry3As90MKbZqXo0/4HIhiHFeTxD0NM/S7Q6a+7wv9i/Akof+rtd+XoEXBeTkELLkKubXhxxZn9zZeGfT/eclXneL8/Jugp0il/D9YddT/oPbd95e7egsPaq4gXHoqRsodCHgW9ne5za3de2+XMop1PrdhZoE2m7atnz+18MiUFB/4LS6taEXQAP71Qdl+r9kOK5TD7fjy3audSqPmK4OeaYNdvuto77Cv2XTJr3y2s2teT8/bF2LT96+lL+3xi1ggAXy9mHfpFh1zwz2YUAGIQ+Gpu2b6cTdvXc2n7eiar9eXMkn01n7Zv5jIKDt/MZOyr2bR9OZOyL94m7Yu3GW0JDqzPpzP2xUzKPp9OWwwA3Kf7pzL2xVTKg8Ub4Cd4LAliAsHnk4v2rzcJ+9dkwj5jy5pYtM9eO9yfv3Hgv3jj5/7b5at29Y8fLTHxxJYW3gjeIwp9ArYpiAEXJT/ZDVN+e117v++gv9vt2oedrr3bageFR+U7drjpoKPs+xtt2++7okfQOY6Fu2jXo2WPKQD2HdV3C18x8nRsv6Bm2q6HujMyW7StlrftNtueGmx2qgoOuk4PPgzdaIvNV66e8yEclJ4HX+o5PRjjM/GM0IZJO21DKy4O3dRXVbTzeXlX/KjygK+qfSVn7VKo1lcLAjmCzlYqf8q6A3p67rn/TbfwByPiSyax7BF0/TWYAeBu44Ec2y7rrjYbik4BzmfdAV2qTn6uOXg/PnOwNW5HW6/saHNMyy08ebrb98P1FwF2cvWnIVcf9t5Pg678/dQILYpP6w5Fv5Sct+/mE/bd3Lx9OztnXzx7aT+ls1JxLPv55VU7m16xc0vLdi4T94Oqcz6zKjX/Ic21nJ3L5OxsZsU4/iGzpmso+vfJlWDbsf3+me+x/goO8XjFvkus2JeT8/bfnry0L8an7D/uPrL//uCZfZPI2jeLS/btYsa+DXZeKh5Vfi4rRf9qLuOgzy8Z+/Eehz9j38zGc1mHeTYl6IH9S5zB/Ip9ObssF4ATEOwEhJmMwz2VtM+mcQRp+wy1nyIYpO3zSRYOISW4uQbobIF9ADhuQoqetP927badP/ulJV4/tmZhxdYWZ+xwq6tinQp9Ow76++2OAgDV/gh43GLfCQAU5diPSs+x2/emoN/fbErNY2Wea27rgZkpvQh+2G7iAupu9YPFx/LTcouDNaj5Og/LdB36qPrcRxDgXkBXpT5U7FW0o1pPvs4oLUU8zdO7rXdLj7p7Bd6HbmjLMWXnRTwKeVJ1ted4eCYfeu6u+FjzTiWqP3aeB2tWrA3seoDGIY/Q1xm7leLnbGn2+VDRT71GGsgzbx12t+8+LYeaY+Wl7NMo+a9Sdk3MMTU3+MMQ3m4bWPgxDwBnjjbG7Whjwnw7bsf9ceXqR30q8M/VelM1PrTg9vpPjYdgAJgKPcU7FJ39HY6DwqPmuy3Ufsx67XH7fX7KPn81bl+/nrAvxibsy1dv7OfsqgC+sJyzC0trxvb80pps+/mlvK5F6L9Pr9q5pZyAJSCczazZuVROCg70P8QF+Kg6K43tX7XvUgSErH0X1P5bBYRV++9Pxu2zV6/sq+l5+3/vPLL/ePzCvlpYti/nlwW51HshIxv/9Xw2WPqssf/VXNa+ms0Kdu7jM1/MZwQ9x1L8mSWTymPxZ9O6hpJ/PefBhADhip4Q3F+8XRLMAA74WgSBmbQDP50W4FL66YT9B4BPJO1fE/P22WTK1Z2gMIHikwok7f+598C+/Pozm3zM66BTdrDZtNXUW8GnNpyekKOV1zVUWysoOZC/3+sFlXfr7sB3peYo+slu1462HHaUmu+Pdpx9VBvYAX+v3zICQVT4w3B9jz77elNLubom7qqy8qi7QMair1PMC0GA3jsLu8+s/XpFgUAw05prl/S0m2w7E3T03VtFAS/4NTbLE3GhSNfwIR1N2PEMPIW7QdWeCn3ou1fc+p/uv+MIBn15qvZ6nVUuKLtvZdkpyhWw7jnjxRO8Elp/JCKoukPuVfio6rTd1HqjBTd9UXBTmEP5pe702Se9pYaFj312QGcuPq4zx9sTdrj9yo63x+1487X2gXyQt/ef28H/z9Z7dzd2Hdnb/dEm2SPbsnKrc865W8GSJSfFjsw5AkxgAkkARGTOsZPUCrZnfp+l3vXsOgegPO8fd13gAmzPmqXn7F276hxk/6YLwGXrZ/5qUvp0SOjTvvtNsGPhA/SFKe+3z6S/tisdLXa0tVOh20mB2m0nO3vtVAdq3iXbDsACvd3rder0Ex09DnVHjx1t5X2fnUTRW/vseFtvUPZeYyHg74H5SGufqz9gtwM9n3Hvl5Krzm/rt7e+eWxvfvG1/f5v9+3dBw32+8/+bO88arD3mrpl3wEa5T/c0K73h6Xw3fZuI6repUWBWp6LZ+82dPvruk639FoQXNmBmjqeRUB1P2VDQ7cWBMH+AMXucHuPGj/ssDcedajGryr7QxS/Qy7A/6YlKHlN9aXiQfF/+8cv7fXDb9tfb5+3ZFud2lzz5WnrbXuilpZOyymyrTbY8nAHZlfyqQC+23dadKrVCwR1NchJ43nv9t2Bxro79Ch3yopTY5Zn6GeWvr8vBp7aj1kxm1Ia77D74E1masjyk6kAObvlAJrDLoZ1YfMLuVH9nUI8OQCv1R1oH7DxIZuwG45WnPbKM2bbp967wrvxPpsgtAN6Bm1Cyw6LPx4gpgQgkEPx4+Ww++456n4cgIAfSSp15/XYQF81uJOyD3TI5rc/+Yt16Bdg+KGIa7oI4wS7froZVb8gmAFdIdy/pPAO+gWBrhl57HvoowO9rm/O6mDJQ9j2+fxXtlD42ua4Z7/yep2WW0jiK9mvA/j/ks6Hmp02XCnzFytmvA2HimvabubPVpr6wqap0bva7GRbm53u7LXjXQAL6D12srNfwJ/s6rJT3Vj0Pn/f0W+nuhICW0ouq45KO/hS9I4+O9Xe7wuBPu+34y29drwjIYU/EsB3Bf8X+Jv77ERTvx0hMW9z6//W1w/tnW8eCe4jzX32flOXoH+/qVcAC3qsvcDutMONgIrCA3i3vdfY7ra/kdAO1e+0t+vd2gv0xk47XNdr79Xzff+c72D7UXO/2u0tanhq+7o2QS2FR9m5Hrapvn8Tay9Lz6LQZG89Du8fNdu7j9rt9b8+tF8dfd9uXzhsXXVfGae3zBUmpNCcdUa9u1yerim5AjcUnQnAGQ3rxM9XClNVK7/AVGAxbXOltP490nu146oW3mt2wYyNnxqz8owrvp4plXeF18KQ84UA6Gm9MWEH0II8qDetN9Qc2w/o+Wn/GwI87837FB4ZgGp7HYgB1N53p+UWJ+7YBZdm6m40Ge7B2tN7Z6972DmHA4h2nhAP286xVsAcAz2eRegnRhPB2mPvgT4p6IGd+n5iKFmt3bHwLU/+bK36wYjrxm++ubJfMn7nreMJCfzVYOE9hXc7f0UpPNBzecvN222oerTxPP8/oC/Mfm2V2W+k6AuzX7mi575RQFfJffHLuj0b1L2ayn8RgPZArjjpfffqWC1tuekvbGriS7vc0VxL2FFsgAf0jl4HW9D76+Oodmevnejq1ecAz/ujbUAclLyjT4sA71HtqPzRwh9tT9jx9n79DX93rKXfr1aHGlXn2dE2/w4ugNof13CUMqC1394H9pZeO9zco/v7zZ1aBKjdgfxwS6dqepT8/aYef9bYLcj5DvBj6fmuFoL6XnunoV0LyOFGvt/jJUBjpxYFSgHcAXb/rTpsvUMfrTx34Of5G9h46vWH2PoY6FHLd9ib9xvtv06etCsn37C2h3/UgQqahc+j1JParMF/oADN8A9AL5embQnAse8M+GDfQ+K+VJmuKjygC/aCJ/Gy5dXhGu+3U7cDdTlTuwjqpOg8w7Jng41H3bMTqutRfj4rTnsCX5gZc6vONF3ot+MU+F4M9GLoxyIhW4+FD/U6oNNjB1pZ+fFBt+4pXwTYBw/0WhCYrgthHXdUnb+bZABnOCGl1/l1oQ/vyb3Pz6dTCY3djqehrkhqAAAgAElEQVQc8qnRQZscSjjoA6h8j+r38aF+HV3F+7bHf7b2Rzf9J5qfeD+dH35sf3zRQX982dofX7DmYN0ZrFGNTn/90UUpvVL4h9HCo+zU6mf1GaDXY+W1EeaCHSrPfmMLeb9Q98W8Qx5TeO+tewrPUE1lhl67D9kc7LnHel41+rQP2QA8rgBFx7q7FXc7DrjU4Sc7En7Hxne5FUflT3QmBDoqr0UB5e6MIRxgAz9uoN/tfHgNrFXYZdd7BbAgpjYPz+L9CGpefVaDHvBjGaCATrBT7/e5nW/qtfeBtdmvI82+IKD6QI9qH8aaB7U/3NSr17zn0kLBYtHAd1F3r+9RehYDVJ1U3i+v11F8qXpdu735uN1c1Un0O+ztkNK/86DNfn3ltp14/zfW8OU9HWKI6gGvW/JpnbZCy2cpwC3Y52YEO9Bj25n4YyHQIlBmzHfGnwtwV/44SBMDuXiXJc84zADNjjjA1GtN54UAT5AT3tXAjfU7dt7777HfztRdqhrmsWi45fdRWw3eYPenR2ugU6tPOtQxhSelj691D1N102MDAn1mfNDt+9iAD9jQjiOMY36e10zZ8X7QlZoF0z8b0N9NjiX1HRSdul6KrnYcqXyvhmVow7XX/UnDMq7kB1Ud6K9YGz/gqB9x9HCu5dF5pfRY9Nhq82DOQzlsvEBnH3t1Hv6cxmaB/dBc/usq6AC/mPvaUHlZ+syX1ZCOVL7ac48DNZkwVJOmdveZeQ3YsFEm/Tf114vTX9nkxFd2tbPNg7d2wOyxU12uyADr0PbYye4+wX26u193FJ3vofy6o+YoeYAbS6+avbPfVb2z3xVfKp9wwNuTUvYTsvg1hQduLmCWqqPuLa7i3I+29FU/B+7DLb2u6i01uCkJtBg04xJYAHqrV1Rs3Zt7VAI44MwBJN2+Y+Hrez24I8ij9gf0ug5d79Z1St0F+KNOe4/2XX2nQx6CORSdz3EBpPKv3fnY3njrt/bVJ1esv/WBNoKQkEuFy27BUSv2RK/OZQXySnnKQZ7nfQ1uH8mtvdemnrAQsEjMU6uHQRqS9Qh6JTNp5SzjszXLLhVXKBfacgrpGKkdV0vOFfpAXR9CO8DFkvtikPIwL3xWzIz7bH1ozUXVVzuOmXkCvHDFPnscuNE0HeGc6vEwWouSC3iHns+w8wcvjdSqF99rY5xSq9fY9qSlRwYNddeCIJVPCvTRYYccRVcyP0wY95nqcv1eex0/BRV/l/26tT+5Jtse7bq33MJpNA8vC/SYyFcn5uKOtwB6LaDzoO7QQvFbW8o/sIX8fQc+961CObXcaLvFK7Tf6LkTzmkjTOZL3WXVqc9J5hXYsQB84fPx01/Y6OS3dq2rwy26rDrWHXgT/+c609Mv4E92O+RY+zNd/Rbhl93v9Ppdio4rCKBrEQD+dhYAt+7Ydy5Uvqb2CTsSLLtsuur7pB1t7rdjrQk70poIlh4HwOWLgOp2Ae+A87eCHcCbPAOIsGPVqe0j6CwUPEPZWUh4XvtOt70jVXfQ367z2h6lB3zqfEDmOS05BXKP2hXe0XN/5wkLQqf95pM/2W9//9/26eWj1vHkC41xouKx1paCl6Y0iDLQ3WTrCznBvjKf0Zz96kLWsOnYeFReG3lk77H4fvm/hbX3ixBO/XSGaFBrtdOYouO5z8gDMUDHRYF7Dfxajc73/Dl2Plyhhq8m+cH6k+ADOvZ+lpl5HMC0W30sfAQ73lFv2nPcDz7TyTW05Gi/AX44yUb2/YCFF+zY9qDwAE1Qp158VfHd4nsbrr9ao2uqbpgZ+t4q6G1PPtfYq4Puv8/uoRzhnNfsqtP5tVZs+4PaQA1KLtAfX1KdTlin3rrqdq/dse412M/ZoYXCI0G+VPjW5gvfGHcpewjoSOIJ62i/YedRdeDHkhcz3msX+IR3YQFQOy6oPnZ/fPq+XetuE9ynu/vML4f3NBB3OdzAHK9TPeF1Z58+P4WV72BhQNETdpKgLtj1X1r4pMI4oD7e4Wp+vGPQjrcn7Rh1u54DMol8wr9b/V7CjgO5wjz/DpDzPWp1V3Cv21Hw+J4FQqA311wB9p1ngB3t/eGmfnuvsc8hB/TGHm/lNfUIdEoBBz6EeIR9jQcUXkM69N69h6/WXWjXvf6X+/Zvb75h9069bs3ffmbJzka1vbwG5/BJdt75xW6zvo56W1+Y1SYdgOZam8t6zS7I/TWA83f6d0q8JqjDGRDkZWwutNgAm7AP8F3JYwvOR2cddF8UotJzx+YzKed3B121PQM4wB4GblD0WAKUc5P6THATyIUdcLTmAD877UM09NtVr6fD5Jw2y/jwDcp+EHr69CwAEXzq84Owa0Y+bKohyJseSbqFZy6eIG4sWHsWgJGBKuRA71tf3eJj23nW+vgzHSPF77PHCyUX5HWexKPytZ66g85EHJDHy1tv50Pd7lNzMY3X0VRqv5130BcL39ri7H1bLjIx9Y3pfeGBLPxi/ispPrCrFYeFDxdAVzJ/C5Y+pvSu5HzG0A3XRPpbWXe10bq6Be7prqRDDdA9ifCs3850J+xMr3/Ga/+M90kpPYk6Fp9Lzzr9u67gnrgDtSAPqi6r3wnUSTvRMSC4j3Z66+04zzsHtHgA9DGgb4uK7vZetry1z95X3d6nhUC1uPrxKDluIWFHqta/T5Afa+oX6Ar0WhKC/L2mHnu3sdeAPrbkuNO6e6e+x4429lWTfKD3ZL9TPXsSfoK4aO0FOqO3XzfYvx07YWfe/ZXV//mWfg9sOtUjQNfms7ZUcovOHWABNdndpJq7CvlizhW+knXo51H7oOoK7AA8Y0sFwrtYr3uLLfbTl2bTsvOLOZ7Hz1zdeSaVV1vOQcUBxJocJY9hHK5AIV9u3IqzY1JuwjwFcQHqWK+j6ih6nKwDbnrq6qszPTc5Ivs+kw4DNRMcUT1smakRm0kPGzU7iwEXfXlgZwH4xYGUsvRu7z2wo+c+qOReY7VxICc1YBPhIphTq0274YA81Oyj7gKk6I9u6jfaAZ3fau9pIJwL7TaCOUCXoocUns0v9fTVL1jHE4fdt7heMGr4qOotTxiuIbA7V312KEK9VLyvFhthHIpOX10hXeFrf42lR9Gx8LPA/rWVc37Hssf5eNXx08DvO+L4nhS9p1Nh21lA7h6wsz2DDndPv2HXGZY53zcssFHzU70OuWy7FgVAH7CTfL8vYVJ8WfqknRTsSZUBrvTBtgM2EHf0KUnHCaj11hEWhE6g5zsONmGfK/iAUnesuQdyvXasg/q+3xN5rH5nIgzjJOxIu9f2R4CdK6T1pPZK7JsSdri5Vyk+iv4eNr6pu5bmk9g3U7t32/uNLA79ntIT3IWevcK70KePrTlAf/PLRvu3I8ft1Pv/ZQ8/v2qJ1ic6tIHEfKXsiTrWfLno9bfX5Wkb6G9X/3xt0e37aiVja/M5Xf6aPfjZYO8ztgzsJd+D7y5hWgl9GRXXHHzaFoozGq5B7VH3Ci27OFATrD1wR+DZcluz+nErLM/S2nIr5WfTDVtzZ8IwTnbCU/rMqHbKxdQdxZ9NY+VT1T67nsW++5QDzQ45wQ3sqt+TgpwFYibtG2aAmfajWnIxiQdmDd2Q3A8ZoRsXll6HY4yh6szSD0rhlcQPMnjjrbkYzKUH/MQbQOcnmB3wWyYLX++/x96JotdF++7WvdZuu6SQrrPOd7qh+A71Bak8wJPGA/nBltuhpeJDKbZAL39rS6VvperL5ft6TX9d0M864ECOdaf1Nk9YF6AnrKMHL/tOf50dcdm/KqFPTz+wy93tAlpWvXtQaoxan+kZslM9g3amd1Dwsgg4xAN65lY+aad6/PnJoOwOPeCzAHANCeqTXYN2ojtpJ3oG7HjXgNT6WGdSr49g1TsHTVa+Iyl4eQ+oxzoGpObY9gi0bP6BFN9HbUn/B30BAGpqelp3HUk72sbVr+DuMOEcCwBtutYeO9zaa+8R5GH5WQha++0wlr8tEV73KK2X+jdR8yfscEOfXACLADafGXzqdpUFjT321jeN9u+nTtvht35lX3100Xobv7HpoV5bnpuxjUrW1uYA1xUd2FcqBVupzNrafEHpb2V61DYXC7Lw1Ot8l88AfHUur7/nNX+zMpeVzQdiB90t/Hx+WjDTf9cwTXFGqk5yH4doAFVhXVgUaN1VZtOy+DwnjT9o55m/9xFd30DDPnoUX2m+7l6/F2cmjQs1pyUH2Fh3r9VHLTvDYZYjNjvBTrqUVJzXrvKAnxL0QK66fXxIYZwUPY7SjoZgLkI+ymm1TNgN+M9FjSZtJuXDOemRAZsc89SeJD721qXsjM+i7vzazEjCXNGvuqLXubIDPcB3Cniv1V3VmZZD3W+ortcedrXfSOB9LJbhGqn7w/PeY79/VsCTwGPlDy2XHthK8ZEBvII57DtWnqv4jZ5poIZEPs+up68EdwzpUHVgn+euwC5M1TFNh33PfS3rfrm7w05399iZLmrupCA+05eUsjvcA27Tu5O6Az7X6Z4BO829z2E/3YuaA/2wneoa0AXop/uG7WTPgCCXqgN/16Dbcu5dgw4jwV0H6bzb9GPtLAbhNbC2+4UV94t2XazlvX5XYt/OgkBqj/o78PpeW0IwH+kgqXegZemx/W1A7yWAan4m9VgkWl3xXdW9FHivqc/ebWAxCAuA+vSh7m/o00DNf126aW//5t/t82tHrfPxFzbU06L+9+Zi3gjWABd1dmWeFbxAu7GYV51IaLW5BOg5W59nAcja2kLBVV2JfFB7ge+2f3U+F5L5GVvMzxigA3m1bg+veU4qTw0vK67978zJp63MoqDEPgR2Cu6o7acEvAK+sJtOFj5Liu+jsx7W1TbSUK/np7wEAHDq+gi699ZHpfKF9KiGcEjxGcCp7n+vKr0feEF7jUvgsyV2dFB1O8qMcgO47H0cxqEPz3FXHHwRBnGw9RrMCQk80OsKsKP2bU8+s/bHN6278Zb1NLiyHwSd+jzW6/TXVa8HK9/ZcE2DNbF+p06PVxPnw98P4VxI4gU6gC+XnthyCdi9Tpe6Fx8I8oXiN1VlpxUH7HGQBisvwAPosvXU77lafc4wztT0A7vW02mne912nw2An+1JWgRXYIf6nNdne6nVgZ1FIWksCm7ZBwV+BF2OAOB7BgU6i4DUHVVH3cPFIgDQKD2KT12O0uuibsfGdw7a0fZBKTOQqyUH8NT6AXxgViqP8oeAT7Ze9f2AMaiDuh9pYcHwdN9V26FHzT3V7xX4gj8O5jSFdD+4BFRc38f2N/a64jd6O+7Xdz+x3/z+v+3jc29a+1ef2mBHo1pNwLq+gA2fUbgm2OeA3m05963lorZ8Uqs66EBOjV70780FwOdzUnIWBxaLtYVZ1ftR0RXM5WdsqZCzpSLh3JTgZwFg8AbQZd2BPRxNBczU78AuC69TbFD8Kam4yoAwYhsXCVp1XAzWaNEIbTrqdkBH8RXcKaEfVa8dCw/wpPMCHsCnOORiVAdcVJ8xdTc5bJlxavl4B2ZU3i9A5rWAZiEA7HH68b6jzkH3RYCFIJ0a8Mk7gU67zc+/800yHtq11mHdb1hv423rbXIlB3QuKfqBQK6j/qph1emvt4bJOV7z3Le4XpKaY9vjmXMaqgF06nQUXda9+NBWSg8C7A+l7oulh7ZYeOCqXvha9Ts2nh67+uyC+0D7LeyAqwZ1KPo0av/AZjKP7Hpvl5T6bN9ACNwGBe/ZfhTboaZuB+5zvUNVNa/C3o2VD9DHBaBnyM50j9jpXrf/qPopvR6pwQ7wsvbY/KD4B2A/0T3kdr5rwFzdHVZqdwV13Llak3ashdFaAPdgT4M5cgG+OFQXgbZkgDiCHi18UHi17/hOwt5H5Vt6tTCwOOAQaL/xWbT51Px++X783376V/vVW7+1ayf+2xr/eseS7Y91CioJOTBKoTnCupKRLfdns67aC7OCG0iwrpvLRX0Hlce2r82XXNWDsvO3uuYLDn3ZHQL1P5N0S+Ws4F4oeFhHYAfoC7Nu6aXcTNsVPYVH/dV/DwvB3OyMA16Ytrl8gD84AS0E4TWfReB5LqUX5OGIrBDsycZzco2u8SrsUeV1nx4V8FHVAZxgjotjrOJ7vWYRmBipQg/wsRfP4lBVfhL70INH0YEbi87lo7LeX9dwzUjC6KNzugxqDugoe1fdTeuqvyb7LuAVzAU1B/D6yz4iy13W3e8k8KrVD26A4bUOrvDtrYdQ8mjdgR7AUXRd1OvBwnNfiqAH8FHzaOtVu4f63ev2aOUfWGb2iV3v7zZB3pvU/WzfkAA9Q+gWbDrPzgnoWLMPqIbHvjvkg3qPirMYnO0drtb4UvRuFo0R2XpU/WR3yk50cg9XV1D57oTX8Z0DdrJz0E7yXJN42Pug9KFmp84/KugHpOrYbBSbiwUAuONranT/jNAuhHRssGkD3AB7UHTV9qFfX7XxSvUT1VLg/dak1/j8TZMP5Lz11QP7j6Pv2dnD/2XffnTBehru65dG2FhCsAawG4vAPmsbC7zOew0eQOb51vKsASahEp+j6v49oC8G+15wwAPo6/r7nGHdqddRc1L8ePHvcZHKxwvIuaT0RWy5W3am7riitY9AH1wAorIz6ONgxzKgdgd8gKe+p9bXXvhwPJXUPMCunjt9d9SdARx671OEdilBrZpd6TspPYdaADetOU/lAZ4L5XbV9/cx1Ivgqw8/4gEdwRz2nbBO0AcbTxrPs9bHn6g/jqL3NNyWknfX35KaV4O5uqshhb8uyKXgGqy5Yp1MzwnwiwrnonUnkSecA3LGZ5sfhxp9tfTYVssPbbnw2JbKD2y54Iou0AnkYr2u+wONyNKKI53HxiusK4aNMWGiThY+DNrM5x5aJvvYbvT1VBX5bH/SdPUNBeg9eAN0wdvnAAP0mb4hqTSqrfc86/FFgu/qb/TeAUfRCepUs3cN28nuYdXqDvuwHe/qd8gD7NTxAl01vVv6GOLJ3gvqqPKe5pPkY+c9fPO/EeTt7go0jBOU3197UKcUnqAthnjV+t7tvId/cWBn0FVeNn7Q3m9K2NsPmu0/z5604+/+u31x95TqcraekmRvAPai199bywWjTgd0am8gZhEAVq6NJQ/lCI8I3TYXSraxWLLN5bI+R9n5Tvy+HAF1v+pzt/WCvYKqZ6uJPvY92noOygRw4OXOIuDBnYd4esbnqs9J6fkxyinTQZaoPTvltDjUDrogxcfOx0shn9SdcA8bj4Wf0AEYGqaZHpO11yx9GK7RNF1QdOw7kHs45xY+ws2dllxU+Ah7Fe7JuGee1pwvDFh5hXTa8ppUq02bZ5iSoz4fCfPzI73W+viPUnQHPdbpXqu7qtNqu6Ha3O9B0VWnu2V3Vb+o+fj2ul/21gU+ik4K/+i8HVorPlHqvibr/sB76ag39XrJrftB2JmiA/J5VD3/jS0FKx+hZ7BmIfet2m8atsk9tOlcnV3v7TZq8rOJATubGHTA+4cF8lndeT2sFht3Ad/voDvww3IA0Z7rO/0jdrY3pYvn8Yr1+kmsPKFdD8C7qlOzn+oesRNdQ7LyMb337wzYyd5BOx5qeFds0nj67CG0a2dQJ7ynp89C0Tlkx9qH9L1qoo/Sh3oe9eY1db7qcwI/JfR+598nhffPBu391mFZeGw847L06d970mq/unbL3nr7v+zP145Y+/3PbKizyQqTQ0rOXZWzUmdAR7X1TAtA3jaWUfeSFHtjifusWj/ri0XZ963FclD2WeNzQF9bdlWPwC8v5NVmW2JUlnYboJe8bkfZOfGWFhyQo/ik8A45qjxt8/mMgMfe8zmQR2h1so0WhLTacv59D+iAXoM4qvXTsvpYea/7a/+Gwz4pux7rd9J9V3dXdF4XZiak7ICuwyuAPRxMSX+d1xxOOTOZEugR9qjmgE3PHfWPboATa3EBAp0jq4Cd021Us3udXg3l2I/++I+y6qi56vTG29bXSC/9tnXRT2+4JnUnhFMwV3fV2nkW3ut5/VVX9Tpm4wHeN7wAea2/7htgDq2UH9tqgSDusYNdum9qrZUfCHYsu/fVfaiGUdmlwje2UGBr61fGjrfYc3eV57OvNYDDd3EI6dkndrO3z8700SsfPAD6gJ1LjNi5vhE7mxi2c70DdkZwO/Rn+oHXa3lgB35gPts/Ynx2LjFmZ3oc9tM9KTvVl3L1r9bqtOwC7L24AGp3FoxUFX6AV13fO6Tg7mTPkAI7FobjXbTlmLsf9PpdwRwOYFBTegB/rJ1FY8QHcbqo1Qn03NIL5nav17H8vJdLIOmnjm/FIQz84s53BLj68YOy8fTSX7v1kf3m7f+2jy+9YY1f3rGB1ic6yXS1krWd1bIJ7qWiAN9eKdr2St64Y8UBfnPJLXpU663lBdWP6ysAXrb1FQeeOwsCoPM3cgMEeVj4cEfNWSh4v1zmymtEFni1AJS9B+81fKjjgZtNNKWsFoI5FgQUnRFa6nA20qD+HJnNL9TEEVvGaHOcb+81v6x6wcM71fSof37aSnl672HXHGFdqN8j8IJ9xgM9FF7vp8Y8gZeND3Y+PSbQM2nfHJNLh5Q+2Hxgl9qPhd+SozU3hZUfCZN0DNwMascbpdH06JAm6LQDTqGcb3XtqP+TYdV7Gq8F0O9Yd/0dt/ENV6ugU7cTxKHy3NnGymvCOOw772ON7ufNhfeMzQJ8OJnm0Ea5zgR7hVr9sa1UHuiKKTx9db++UTAX1V2Qh+EazcrnfGYeFV+cfagpOibpgH1mtsFuDvSrrj6fGLRzSZR6WMBzF+j9o3Y2kbJziZS5wruan5PapwQ2cJ9JjNhp7loEgN7/7kxfSorPIuB1+mAVYC0A/SNSa8AH9JNdKTvJIqAFwME/1TsspVdSj6qHmt7rbu/LA/fJLv5uJPTjh6Xwx2TnaeeR9KPuIczrxPaHdD++7vBnWPijbMTpHKj28quLAz14ugHt/fb651/aa4fftBvHXrP6P1+3RPMjSye6FHBtL5eUom8tV2xrNW9bq0Xdd1b9ORBvr5QMxd5equi7BHDbq2WjXiRR5+82Vwq2tVLyRWHZocfKyxUs5+UagB6rrz47k3OangNyV3WBX/Ktr6i2fiVWCwHqnVEyTx+exWGpQE6QlT33bbEZfx1Unc8Ed9EXBmp1hnCo8+cLmdCKI6mfdrsP7JkJ9ed156is2WldvJelz6bVd6e2p04vZiZd2anbtTFm1LLTnEY7pqBydsrv2SmHH6XXwA0Td1J0t/2cY+dbY70tx3gs9bym6FLec6dmV/rOFtaRfuto+KNA7yN1V53u9p3XXY3XravR4VZf/ckNT90br6uWj7V63LvOe46LRtHjOfG02Dgn3kdlL9ihtbk6o05frnitvlJ+aKtlbPsjXaTxnsx7fx3Q/fJWW1RzTdFpYwybY1zJWQAI+rKzjXYz4WoOuIRvwAzwulD15KiUGtiBlUvPEiwIruJ6TwCnf2NI/4ZA/9fF4IDqy+oDdP+IkbDH98BIqw3YWSRk7Xuw834Jeur2Xm/RAS4LgId3/sxr+AOWvRPocQIe6vG5LkZyO0PQp1ZecAjhe1J6WnKAr9o+aQz3oOyv//WxvXb0iF099hu7/8k5SzZ8ZZOJDtni3bWK1Jz77hqqDuyoeUnPHXZsvD/bXV/Qd4B/Z62i//BQw521eUEO/CwCG6slQ+lxA8C9MV8MCu91e1XZF0phwCYfArpYvzNgM2vLC7mg8LnQlptVDe+qnpN6o9wo/5x+5orX2VqaX4pWP+dTd0zeFbNe6+s1wzleEgA/Nr2UoY7H1tdAF/BM2wF6ZtLHbtkDn3HgZzPYeTbHcFAGtn5cU3Ye2AF5rZbHqpPOS+nDEI4fXklNH2blxwZVFqHoWHgpfIrdbd5mA/iuhs8Eem/TdQP2nsYbSuAZg+1uumadTTesu+G6D9AERWdUFlXnEuwNl6XsarWh7lh3we0js+x6o6+Osh9ar9TZytwjwQ6UCuZKD3Svqnuo12PNrpn4uPlFdw/tGLiRtc8/sKX8o+rEXSbXYLcG++xCImXnB4btfDIlRb+QHDa/UoIaKy5VT47q/fmBlJ3ndQJr7985mxyrLgQsFtWLxSCZstP9KX3XHYM7Aew/LuBUX0jfQ6/9VPeonerDIWD7R+xEL714QGf4ZkjPZOUBvBu1d8B9EIf32HYm7Tz0Y/GIio7yO+hhEq+TIDAAznQeF1ZftXzo4Ye2nP6dtiF7536j/cfJ83bqnf+wv905aR2PPrPR7kYrT6Vse2XOdtf92uO+Vra99Yptr5Vse61gO+uu5EDv4M/bzuq8LwZB0bGchFN7G/Oy7/ouZcBKRcEctbrX/l7f814Tc2rhFW19jnZcuBYKtrKInS/Y6jzBHUrvrThAdosP+ABOiDer1/PljHHpcAt9D6s/6207WnVcpYxh9fl39H3V+wDOUI5fjN/Sm8fCcwd2XqP4TNnhBKTsmfQvAjrNylOzo+7U7JkxqXxuhvqd1+PVhN5r+nD+fBy64Sx6bL168Z7GV4drNFUH/IRw3n5T7T6atM76Pwrs/ua7Aj3W6VV1B/xGh13A03Y7cAF7a53beaAHdg/nLofTaS4qdWdPu0Bfm3tsXKuVR7pXbXz5oaHuwI51F+Sl+0rmlciHNF4jswF6QU5rTqADu//tdK5e1h2oUXBAB94LyZRdSIza+X637ECNQqPcuoKVVx0f4U+OCv6zfQAfv4v6D9n5Af/7s4kx/T2wR7sPyIKa9hu1fu+IUde75Y92H8BZEPy7p3q8H6/knvS+2+0+6o87UOuuy+2+LwTU+aEvz445XcNaCHj9i+9oas+Bl7Wnndc+JJt/onNEZ8j/6vJlO/zGf9rn19+zlm//YIPtTyw7nrSdxYLtby4ZCr27tmCADuTU6oIapQd03q+Wq69duSvV76B6qM3+Vk3R5QpW/N/itep3Kbsn8x7kFY0Qz6+yw74wK7jXF8u2FpSeKfJnhuYAACAASURBVDu14xih1dBNUcBL7Ss16DnHTgEeh1/EJJ/PsfjlrC8E9OuLB5UddQ+KXvCddKTyFSw+ip5Lq+8uyIPCU7cDexy+cUsflDwzqUUvn2WTjCu8puio3/kVmUmOo/b+O/Y+tuc4vLIazjFEoyk5n4yr9tWx7xF6RmdTg9bT8LklGu5Yovmu9Tff0dXXdMdtfPNNqTnKDuxdzdesuwErj6L7aCyWnok5KTzDM4D+5JpabQDP+2jbXdHnn9h6uAAedZd9p2an7UYaX77vAzXl+7ZIWCc7H3rtwcoT2i3nvZ6X3S98aysF/u6+zeTr7PpAQlBfHBgV4Cg7kHOh5II5WHheA62s+oCDzXtdyXE7PzBhghmHMFRbFM4nx+1c9aJ2573DH+GlPhfk/UA+qtcsBgcXAQfc63fAJaUHUupyanwBjvLH9p0WAX/O9/0C7LgY1Gp3/p1o46XqQd2BnGCOBYGBmd/d/cR+98a/20fnX7emLz/QZhV+Roj59f2NJdvfmJcS760vVkHf3ajIku/JyvvrzbWSnmHVWQjifXdlXvCRFKPoKgPWKra9Oie3gPpHB8A8PPYf6AW6kvrwmkVgyS08kDvopPWu9FL3Oay923mAj6DzGQGeFJ598GGXHNYe5Xcbj5UPF337QlD5oPYovTbTFGesUvShm2jdUXFdQd3Vd8feh40xarvNjNvsDDae/e0oespy/PxzxqfoHHYOpEzVRmhDD57EnnCu2nsP/fbYc/d2m4/ICnRgD8B3NX1uPQ13rb/ltknVm+5YX/Mt69eFkl912Jl/p2YnjItbWpmHf+LPUHNgZ0Ku84mfOddZ56fTqGZ/gnUPNfrG4hNbm3/kkM89tGVeVxXdIfda/b4tVx56Kl+8X1V7QR5m5DVhFwduCt9ogaBGvz6QtAsB8ovJEX+dCIoeLDpKL4XnfQCdcA6wLwwCeFgUkhN6FuE/l0wLcNl8FoJwnUvGBcHVH/XGBQB7fH0mMVoDvnc8JPeu7B661Vp03oILrTq17Nyyq74noJMDiApP4Ieae/stKj2LhNxA96ApwGPjTQf1O4vCiPbN/+7Tv9nv3vu93Tj2n1b3p2vW3/xAP+bHWOn++rxAf7a1YE83UPNFQb+/Mefgr1Vsb71kgh6rvl7RBeDR6qPsQAyM/EeJI+B9hJ3XcgL6Xqj9lwC6EvrtDjeAR/D5t7ymD5N18wVZewGOmpdd8RnJBXZAFvQEecA+xyDObFXF4/tYs8fvL1fywdrP2mLJy4AIOja+UsgorIuBXVXRFc55a66Ym7JybkrBnNftvutNdfrMhMDnNcm8q/iI9rjrByPDCK0UHfsebLt+K45NMfrNOLfw2gHHhhdtkBn21tuE1+9djX9yy94cVR0Lf9O8Zr9pfQRvDde9dj9g4R12FP66kvkIOnD7RTLvO9wI61Bzt+7zDba2UG+r81j4Oludeygbj5XXFey7wC8+Cok847IPfDE4oPgHgzvN0Be/VRg3lW+yW4MDqtGvDKUE+cWhlF0aGrcLgyh1SiBfGBjT+4tDE3Z+MEA65JCfGxzzeh3FHnBVR73dpo+bavcklh0Vn9DFAuGvx+0MrmFg3M72kwMA/pid6fW/OzMQ3tOLJ5E/MICj+h2A40YatehiSk9dH2DH8gfll0UH6Kq6u53n+bFucgD/m5qi4wZG7HTXgL371RN77dhhu3r81/btH85YX8NXNtbXpvlwFPnp5oKAfr69ZM+2Fm1/c0EA76/P2VNUfnPOr415295wuAGXC6Cx6VHVCdlIjPXZpqv97irWPoCvUsADPBJ74Je1X/aaPrbhsPAe2nmAtzpfVC3vU3Y+Qks7jmt1zifvHHIf3Fku+3gtVt3Vnj67B3ioe7z0uRYJYHeV10QewVwBRU8L9IoS+4z37anTM/Ta3c6XZqdVo1OTA3lM5A+eWOO9dj/QojTt03Res3M+nffgqd+BHEvPiCzKDuTYeII6fj5qZszh1iaY8fAzUpP+s1CdDZ9bXxO2/a4lWh12FD1ePQ3XvK/eeEPwax6+/pr2rNOWUxofrDv9daw6oLNPXRb+X34I4tD6fKOtougLT2xj/rFsfKzbY+0u+x6AJqwDaGp3wU6AV3R7v1z81laZrqum9gzg1NlUvsFuDQ3ZlcGUXUyO2iWAHho2gL4wNGkXk0Dsai7Yh9J2fnBSsF8A1qDoqPrZCPcg/8aknR+YsvMDk3ZxcLIKOHDzXaA/n5gQ5B7ijeq5W3pfMLQQsABg81X3j0ntZed7qNVjG47k3nv1AFsL67D9pPbBBSi0q0EO1Cg4qs2dANBBZzx3RDYe5ef1ew8a7Xdnz9nl46/Z1/dOWOfjz224q9kq0ynV4Fj2ve0Fe7axbDub8/Zsc1HgP91adOg3yoIcmLH2LAo7W0t6hrKzCAC1Lw4LCt2oP7Hlexu+aAAzwZ6gXls0LP7O6qJs+9aKK71aeKTzGot1205dTu99Y7Giu2z8QhipZdKOKT1s/rK36GJoxxCOVH/OVZ9hnOgClubd5nNH9X0aL2dLc4VqYEc4h/WfL+VCu462nKs6rbz52azqdZSdTGIuP+NhHMCzUSZDEu+HV8q+T9Xq86qCZ9K+zz0bN8iMS+Fn0xxd5Ym8z8D7XDwjsYDPuXQAj2typfcee3ooaZ2Nn1Xrcof9liVa7lmi+WbVwqPqPc03rbfxjmBnLr6j0efheQ3sHtBRo18S7AzStISDJVH0+PrQ+lKjIAd0XfOParDPP5Kll8pj6cP03GLlQVXt11D+AL/uxUcaklEfvvzA1oqPbbrQLNAvDYzbleFRKfnl4Um7ODJpF4fGBDQKfnE4LWDPD43XnrEYDAeo+Q7KPgDUYTHgu0PjdnYgbeeH0/qMxYEFgPsFLQD+HSm66nbcQlR5f32u399L8fsn7HTvpJ1OkOIDJum8T+BxV5+exL5nwoFH1ftGqjU7rgAb7zW91/csBKc6GejxqTypv2p8r/WP1Hfaby5ftJOH/9P+duuIdTz41Ia66i0/PmBbS0WBLKA3lm1/d96eba1YBBxl54pqX6vfXcGpwQFZih4cAd8hyKMfDJTVv9mYV3i3u7Yk5d9dX9L3ot1H7bkAttp+0/gsNfycT9+pVvewTkpP/32J90BOj55avqbsAhoLz1bZij9nAfD0nn593pbmirZSKRpuYWWuYG7hXe2BnYM11LbLu7pj6xcKOSk5IVys34Ed265ncWxWp9eMW2l68hdBHFtbWQj8FJy06vY4VYfCq+c+M+L73KdSvilGv/bqm12y4/wAZNgUQ/2u+Xnfr97d+Ecpel87+cstS7Z+YP0tN13dW+9Yb8stvxpvq45H/anbexp8x5uCuga399VQLig69TuQc8XTZA+tL9Y52AuPbX3xia0vPHZlX3ik1+vlAHK08JX71fodyOMVW3O6o/Bslik/tLXyE5vJN9uNwQEp+aXBMYd1aESAXhgGXiz8pKHmF1FzFHpoSq/92YTUHyvukAMwYLvqXxyesgtDaX1fLgE3ECB30LHwru6y7YlJV3C5BdR80gdv+ibkGFB5gAdygU1dD/B9Y0rqI8ine8fsVI/X/DzzayQk+anqdz30C5/3+F1BHqD3sFut216/+5G99/av7fMrb1jL1x/ZQNtj/VwQ8+vPdhbt+S5WfUWvn2Hbw/V8e9Ww8U+3F2TLUWvqdqDnIp0X1Fuu8IJ9w1UdV4Cik4yzaFD/8wxHQD2/HSDn39tan7ftFXcB9Nk1XLOCgpeq8/OATDsOhyBbr5Hb0I8/UM+zQMjW/6IV5/vlgdrTekD3bbM8A+4IOZ9L3cuewsfwTvAziqseO4M1Hs6h5vPAHfbKq+VGKIetl7L7WfMoOtZcME/VDp/E1lOzY/ULuQktBtmZIQ3ZALum5ZiY0y44H5qZ0VFV/LIMQzfYecZqfS87/fS+ps9C4h6se/ttS7Rg4W877C2o+E3ra72tBUHgN920niZ67lh46vQrXqurz35FKXxXPep+0TobDkzN1V2xQ+uL1OhBzZee2Cr1euWRbc43CPgqyEB7oG7X6/iMRaD8OCwAj1WXq01Xemz06bOFJrsxOCSgLw+NCnSsNYou0LkD59C4XRqetEvDU34JeoccgKX4QfUBnYtn/A13rPyl4YzuKgmGpvQdLSKDBHZeBlAKALdCvFAa8D7W6qg9F/W5X6N2Jjlqp3rH7ETvqJ3pHhPUruiAjt134LH3vPYUPyb7DjeLBkpPW89be6PGYZS/+/Rz+807r9vd07+x5i9u2GDrI5sY7NKIqSDfXnTYARogd5bsxc6yPd9et+d8xnOg3kDpF/SdKugAvs2zZf/bjfDdTf+3+I+boIvFYm970fbXFr3GV5q/aHsby2rjkcajxPTYubxep1Yv+PhsSOYBXOk8Y7SLPpGnVH4lpvS047D7hHZev/sILS04Trdxp+C1PAGe1/uAvjRXsmXeq0fvDoBandpd47ehHRdB565NM4zPFmeUwFPLx/l6qXpow2HjATqOxwK2wCeU03ny44K8mPd77LlnQqtNsLPbDeCn/TSbODev344Lp9noN99H+61f1v2eJVtrl0BvuWfJNk/jgRuVVzLfcls2HkXHtmvAhtabeus+FttVTyB3ScM0UnUOqGA7q0BfaLSNhQbbWKizCD3ttg1abuqx13l/naGauYe2VgJ4v/SeHny07mEhAHItBAV683WWK6LoKbs8OGGXh8YD6JNVIIESaAXsEHdXc94DaVTpCDeqzncuxwVheFqKTl2PsnPxGnfA3/NduQSs/aAHfbL+1PdY+4FxOxMu1erkAElXdJT8tMZuR+1U/7guB3tc4PM6vj/TF1J7YMa+d6PuMdV32LUIaA/9iJ3qGLI3//qtvXb0Hbt85L/t4SdXLdHyjY0lOzX3TU3+fGdZIHP/xevtJXuxtVpT9p1lwR5tPMruir4gW8+CwSLxFMXWZ8v2fHPFylm2jM7o32GhIL3XPbgBQN/hWltUELexGkDHwiucc/UGbpQcpY/ficBzZ5Fwla9IzaXotOBI68OOOu4r9OAX2HTj9j5C7UoP6KUa/CG9F+iy7mHQJkzUacdcnKPXTjofriGYYyRXSq/fjPP63Wt2DqHExvu8vOr2cLS0FoHchIDHunOxCHAHat/o4lbeIWcO3oM6WXhOoU0zLddv/c3U6HdVlzvsHwp61ektH1h/WwjmUHRabi03raf5urFvnXRe9XvDLSXv1UEa2m4Ec/WXvR1X5zPzwH5ofaHRNheB3UEHdvXVsfLzjVLk1Xmm555ItQEYlY7qruCOWj4sCjGtx7JTn2/M1Vuu3GI3Cd8Gx+zSyIRdGpqoqnBU6UsjabuUSoe63ZUaUP2aCmrOAjCjZ1H1L49MG5creloOQWoupfcFg7/hmWp4hXwxxHPQz5LwD07YGabuYg2fHNd7np1OjNqpBMBzUb8Hpe6jBJh0BcfGU7/jAvhcFj2od3+E3RcF1fhdA3b423r77dkzduHof9v9u2etu/5LG+9v195q6mqUOgKOgruKu5q/3F0xt+1Y93XZelQ5pvFAHlP5CL9AD/U8z/j3UETCK/53cAq07OLfKfyjtt9YlKoT5JG6R+sO1HGKjtFZn42vqX6E22foI+iu9NG6V9ty9OKXS7ayGHrwYRFwmz5bHc7RQgDssTcP7KT1Yd6e1wzfENDp0mSdD+RoJx3KzhFYYV5eIR1BncK6MEzDUE3Gj6VC9blUp4f+O+8j6OqzZ1OmeXim5MJwTW563NgYU52Pn0yF10Maj020kLrf0VVT9Q8sKfjvyMb3t9FbvxFAd+Cx87o0I3+n2mZDwbXjjR1ugt3HZNVye8II7FKjrS/XG7X65qLfgdPtfL1ABXwGaTyFfyJrD+zMyKP66wc+q/Xf62xjrkElAIp+a3hEQdsVgB5J2+XRKQd0aMYujWDV3X5zvwS4QD6c1ndYAABVQA/x3Wm7nOI7ruqXh2fswkjaLoxMqW6XpWdBwOaHxQIl1wIwhLq7pQd82XhAH3JVJ9U/F9t7Qdl5BuAOvQd0KL3ac4lJr+V7JqTwzNRXLXqv1+tnsfsK8fxvSfSPPmm131+5Yqffe82+uH3Uuh59bqmeVh1wSA/86a4rOTC+3Fv1a3fFAJyLet2t+6oHc5tYeQedv/GhGrfpgje0455uuoUH+he7K0rI+RFEFg0p/fqSPV1fsr31ZZ+6U4i3qLQe0Jm8ixNz0cYfhD2qudpwsvlM3flILXffFed1u5ScNF775Iuarwf21Qg8vXiCPWp6TeL5FB7qrs01OgSDnry34zgAk4WL0Vu13wR8DXopfJ5dcDGZp4b31ltsv7md55hpP/4Kldf58+EI6jgvrx67fu8tqPq0n2ZDy41flgF89dp153Vox6VHdL5couWPUvP+5nuWQMFb79lA24eevLfecct+oN2GfU8237belhvW23Ldg7qmm5qJj4ouwBv/f/rrgL6x2GQbSt4D7PMoer0UHuCx9VL4RQc3KjZ3wI+gr1ZQfHrwvhBI0efqbHO+0WYLzXZ9YFQwS7mHxu1yCtBnBC3AArOukSmp8uWULwBaEFLTApnQDcAvpBx0V3VXdP6tqOS6U/ezgIy4G4ifAb9adwPB5hPqYfmHZ6TqsvYEeUMsAt7OO9Pv/fiz/RNei4eQDisva94/Yaf6J+1U74Qg17PEmDGMw9/IxlOfM1ffM2Ynmnvs7Tt37MTbv7a/Xj9sHd/+wVI9jVaYHLG91YUa1Hvrev3d3qqgfEogt7dmz/ZW7MXOmhSZu0PvYV18TwsOZVatrjvWftUcdBaRFXu+s6pJOOpNFgd9X7X8sgI9H8ZZst0tAr0lwa4e+5rbd2CmdlfbLaTxPi8/p40y26sLxsXnqDvAbsy7jaeToORetr2kVJ5kXkM4Cvgi3CwE1PcVh50TcAjxOKUW1Z8PG2bCYZZArkk7/a5cmKjj1JtSVjW6t96m1Y6bY4NMmJWP03RVhVcrLm6OCdaeIRtGZdnuqqQ+/DpMOLWG2ly1e9jvXgU9zbx8hH1Mp8gmmj+1wQP1OaqOgrt1v6VALtbm0bpj36PCU79Tq3c33dD+ddXu1OwB9Gjh4yDNofWlZgN2FHx7sVmQAzoXlh3ljoqu9zwnhCPAw55TozNsM//QB25YAIKV1yIwX2/ZYrvdHKKHPem2PVj3qOoCNuXqzbMroxkp/qXRGVduFoXUtD9PTdvVsaw7ghSf+4IR1f8cfXmUPDVt54cn9Heq0Udo03m7TRYeNQd6XTXoWUxUtzN9F3vz1O9JT/JRa4ZvUPcI+dnBtFGfk8qrBg+BnJL73hFjLt/Dt3E70zlkb3z0R3v/2Ov26YXXre3rj2y4o8Hy44PqWb/YXbPn+6v2/dNN+25/zV4C++66fbe3Yc/3Nu3Z3rJA59nL3U0BD+gO6orqbtQZkGXVtxfs+daSUvvnAfzdbVd17Dq2nP8gVSJg63EFmyuu7lsexpHcswAxW0+bjbYcQzfU6F6bY+cdfj53+Ev6fHuF2n5etlzfReVVy8cpOw/pgBfbvhqhDqO1cRiHRcD3xLttl6rPF01tuIVsGLTJacKORYBeOwEe10IlzMnHbbHY+iJba/Oy8OyD1yEWhHZxU8ysW/xyfqa63ZWEvpQJsGtk1pN56ngsvPa4c9581lN60vsq7GyQ0c64UU3I9Td/7gre4eFbsu22JVvvWqL9tvW23VPLzQGnveaAJ1vctvc3M0Rz0ze9NPlrJuUEfdjiyhBNhJ7PpOjU6JsLLUrcUfDN5aDqc/Wq3wGd6Tng36zUBwv/KEzTxU0xruSrcw3eVtOUHbV/k2VKgE5tPm5XSMaDnQZA7Dj3q2OAjIo7xNfGcnYlNWNXxzIOc2pGn18eycr6XxnPGFDyfRYGpe2C2y08as7ncgv8u8OAn7Zzg1N+sRioLUfg52UAqo+ia+BGij5hFwf4mxm7kPSUHnU/2Tdhp/vos4+GibsJT+xJ68NAjxYBFgUCup4J2fvT3cP2zl/u21vHj9q9U7+xlj/ftOGOOpsZ7tNACVb6u/0N+27Xrfr3ezv+fn9N95f7K/Zid8Ph39s0FoX4HiVHofd3vHZHvVFoAb/rwdvzzQPf2Vm3Z9tr+j7/gaL0qvmr4V9YLDZ9MUDVtYmGjTTaNefQC3xGaBmuWV9Qj13z8us4ACz/ogE7gzdRrVFzP9GmVrcLaG2HrXh7TepesPUlP/HGa3msP+rvB1l6Il/yAZsSU3UovENPgk+aT80O0AvlvA/VhK2u9NjVa2dGvsB2WLa/ZvQ6qnus5dV7L3jvHUsP2Jqq0/52hmloyY1ZjqOs6MXPsM993KjTfYR2VK+l+NPjmnfvbf3EBjvuCm5S9oH2e5ZoB3SHnWm5CDp3EnlP4X3/Os96m+94+k4KHzbCaBMMc/HU6rTdwlDNoc3FZvML695ga4sk8PGqs82FOtl42XTs+4Kn8PTbPZV30PlcI7SVR9rbvoIbmK+3rYVGyxQ77FZq3C4lxoytqsAX1R3QARrrfSWVEbSAC/RAzp3P/X3Wro7P2LXxnH82Nm2X+U4qY6j/pbGMYEbNL46wQPB3LAJu/em7Y9G1QNCGG56RqvN/T+zdy9aH9N4XAl8cziZ8AOdcctr77uq9T9iZ/tC201y9j98S6DnoYeS2b0wTce9+U2+/P3XMbpx+3R59dsEG276xqeEBpchAji1//nTFvn+2Zt/vb0rFXz5D2Tek8Kg89TrfQ+m/298yhx8bvyGoAdvh9to91u01lWfgZlWLAupNco/dBEhUXb367bUq+Cg+ZQBJPAk8fXgN0aDuqtndplN/897Vnlre4WcB4Npcw+K7C8De817hXbT0OtXGW3Ooe0zidZxVeL+GfVe97mVAPLFWybzUO1tL5Om7z3H0Vd4WKw45dTv72VkABHolr45DnJEHeDbJsBHGt7r6OXdK6WNPnl+N4YQa9dXZDDNqhWxa21yl9jrFhmk71J797j4yC/RxDzvbWKnRVZO3fWDJjnsOessdtdYSPGu7a6i8xmOBvuWuknjsPMD75SpO3Y6a6/qFsrPx5YoOsTiEmm8tNblyE8yRuv8L7Gx62VxyyJXOo/Bzj02bYQR4gyB32CP4/mx7vtGypU67lZq0cx19dratV4qMvQZAIL42mnFwBbpDLdjHa6A79Bm7Nj5jl8fTrvRjMwL94mhQdTmCKYEP7CwCXKTuBHxqvaVYAPjfzen5hYGMFB1VV0inEBCn4A5A9n1wSnDHRUCtuYQDj8J7Tz4O86SV3GvCToM5k3YhMWHH6rvst5fO26Vjv7YHn5y3/qYvLD3QpZ4wNvz5/rq9eLpqgP3y2bq9egrIGzXI9zftxVMHHhvv1p0avnah6CwYUnpq9+0VKTbKHRcA1fM7vgioTNjeUKoMQEDvIaAvFiwEMdTb31zx6TpabZqd94Bua21RdTiAo9osAoDNcy6Bjqqv1hyAbP+Kg6++O7CHI62U1Icz61DvGNRtLM4pyHPYfZecAroFJuY8qV+do/VGAu+Q+wJAy82vhbJvhGFcltkBjc2WZ6v1+lwpW90UI7ir+92Zm8+a2/i0gjodYJH1KTuGaHx2nkWAM+riz0Y56BF2fjKKWl2gN39qA233BHlUdIfbVf4g7KrdCejaCOl8gEaKrj6799eB3AdpvG6PNh7bjoU/BORbi622tdwiy04wB+gk8FyAHfvs1fdM0P3L9lbUW7336pZXV/SNpXqBfmd80k62dtjxB4/sZEu3to8C81VB7vU3EAM0NTifSa2BXSqercKNbb86kZWyXxnP2qVU7fv8zdXRWcF+eTRn+pwWXIpk3ut/LSIovdJ92nVYe18QtBgE2KXoI271NVMfanap+2CmquwK66pTdj5sUx3I6Z9U+Pbm7dt26thr9tXdo9bb8BebSHToaCWABeofnm/ad8+37OXzdd1/eLZtPzzfdiVH3anXnwX4/xX03XVZ+Crku2tK5gH/4PUUJWeSLj7fXrUX25v6Dx3bK/sf6vu4MFRBZ86eIZowOiuoVavXYMYVkNYzUbezyujskr/+Bfiu9rL3CvI8kY/1u4CPPXeBTijnYRzgo/ZS/GoN7/vfY//d23H+k1IR9LjjTeouyGtKD/wAL+iLDrqsfNGPufLDLbD2OSO881n5qbAhhsMs0sZuOBTc23DxJBsfvtGBFmEDDcCj7IDe14R1/0BKjm0f6PxAl1S85Z732FuDwjMxx8aXA7A78G7nZdsBXcM0B5QdyIONP7S93CxFF/BLAN5om8uu8HotxfeBGlS9Cnuw9FoIGLAhoZ+jjm+0tTmv8bHyLBLZSqfdGZu0k03tAv1EXYsdb2w31eEjAXYgH83qujaWF8Q10LN2ZSJnV3VlBe+VyazeA/3lVM6upma1OLBIaKFAuUdzfo3NatHA3vNvXBvPejmQypnX/PThQ48e2x9GahXUYeOj2g+i1pN2JonVn7Fo4zVxx1ZZYE8GRU8w1pux0x2D9ubdD+3kkd/Z3268b11PPhfkTGwB1qunW/bq2YagfvVsy75/sW3fv9zx+/Nd++45n23aq73NENBRo7utR9ll8fe9bscBeN1O7e71OAn9L+AOkPO5q/u6ps2oV+UsAugsBjGh11Td5rLGaXc2HWy36F5/U4NHFXdbj6pj42uwo+6bMdAjxMO6rzF047Pz/9qyoy+Py/DaPG6R9fody67hG22bpW6vaIYe2HnO32hbLL8bxz746mANB1ug5nnV8yi9TqxhLp6Bm3LWD6kMx1Rpsk6pvFt6EvtKlh+cmPEjqTiOKjdlBU6vUY/dj7LSFlgCOh1mQU0/KXvvaj+p9prX6B8Idil624eCvqbqhHS3VbNj7XkeYee5ArqWuwdsvP8QBDU6QZ3COan51WDdgXqpWXCj5lvL9ba11FC9AHtrqUXva5DXaniUXeOylSb1zTe4LzT5sM1ckxaRfKXLtGTmPgAAIABJREFU7oyP26m2bjv1pMEu9wza4W8f2dXUlKC7Npa16wFAIIzvUW2A5lJdru/kDkCPYucF+rXRogCv1u/jhHoR9IJdxuZTJoy7ysf6neeUEFh92ftQ318cysoB4AIU1g24tUfZCfSw/IKasA64tT02rRYdNTq75s72Tdibf/qLHX3/DfvsytvWef9jG+trVu8WiH58vmOu3LsC/ofnu67iL7btpxeb9uPLTQHPAsD3BDZp/B6Wfsu+29uq1u7U798/3f6FlcfWuz33e1T8CD4KT5iHUvIfp7fxfJHQQkByr767p/TaGIOio9jU6xvLmn/fWVnSLLzs+5qPzBLYqabfWJaFx7qrTsfqb/hr3nta77PzbIXFuntq78Gb9sBj5cNIraBeLNuqTr9hEw11O603V3YWB2rzqOaC/MCPTWhfO/veqc9J40se1umu4SH67H6YRazNvQXnB1Ji31Fu6nIAF9TATjCXC0ofoNd32ArLd7NTltdOuUm115Jtf7TBzo9tsP0jXcn2D22w/WNLtn6o2l0JfFBxjca23xb4su9tt1Svk9DrVJpQszP/rtq9yWv3qPRK3XcEsQMJyF6zNyhEi6/9eb3qdMBWMq9puqD08z4YQyuOIZn1OQedBYB/I1tus3uT43a8ucWOfv3ITrV02LHGDkEO4NfTswKd16ix3zMK1y6PzQrm62lX+auTvHc1vz4+a1fH8tXLIUfxsftZ42+5UHG91zMvCeQWKA+U7KPw/r8H1ArsRnLq12uqbnDa4ebOrjlGZ4fc6qPwbtMzdpatsfTe2WWXnLTDX9XZWyfetT+cf8Nav7xno93N2hqJkmLLf3q247A/x6Y72K++27SfXmzZjy/27McXO1X7jvJHBUfFv9/H1m8LeN7LDagl56oO+MBKSEftzf3ldoCYhB7lDqEeENISUthH2y4uENTymyGM0+YY38kGwMCuO6q96u9J5oFU6fsq++ZxASuy7wKdOn3V0/mqmtNnZ9puZd7WVhxy/o2d5VDDc+y0rHzFf2gibI6RjV/y3XKaqGNslqEauQBm6L1uR9HpodNfB2yCOBYBDdSEPe303WXh1W/PC37ZeQK4kqfy5WLOyvmMrDtttnzOQS/oJ6WmBTnQV9P48Bq4y9kZgQ7sfCczlrRE6x8s2eVwR9ir4VwcnsG6t9JqC9a9/bYGawS+Uvkb1tfqs/DU7PECdo3LNt2o7mk/RCtte7HJ7fqyt9a2/0XRBbpsOzbf4VarLUzSMRQD/BHwGOaRuHNlS112e2xMP5x4qqHNzncmtC/9+mS+CjWvHXJAzthlVHwyZ9cnABU7nhew18cLUmWgRv35/Np4wRcDvkuPHcAJ7cb4LGfXJv3Ov4PK86yq9qrjM3INSusZyBn0oK5atzN5pxac1/PRyvsikLZzCV8AqN2ZsKMVd/RBq7156qTdPP26Nf7puo101VlxclCACeBn2/bj9zv208ttAQ3Y2HbuP3y3az+93LUfBTywb7riP/OaHahfPd0Jar4uyKX61Pl7viDEIA87DvDU+M92NxToUTIwXccC8P3+mqDl8AS+8/0+Ku+pPgtBdAEai91eC4M0KDzWnmm6Fal7NaxbJ6zDyleq4R3AY+1ZHFBzLtzB1tqy7DzQb7IHfs1HagFdaq+WnFtzwI7BnV6zS04/OkGLLg7TENLlbYXffF/I2tJ8RnftdKvkbK3itbnGZXUGHT9C4YoeD6SMwR13FgAl8kWfpvPTa9IK5YCeQyxk56tbXwPoHDOdnXGFz2esyJHUWS5q+mm11/pbqNFdzf3+sWw8rwnpqNujZUfdmZxjJ5ugpwUn+G8pjceqcwQVoAN4TOHj6x766Dsrrba12mJbK16rAzl1e7U+X/ZQDtjd1jf9wt5To8fUnte047bmvE7fmG9W0Dddbre749N2PTVp11JpuzY27fZ8fNbVPKj09UlXaFfvgsC+OsG9YHx2Y4LvszhEB+B31dyx9h73BeHqWFELxJWJvIM+ieXPe62emg21uy8QQH9pLKcW3QX69KT3Kfr1hHi5X0B+fmjaLg7WgJcDSLLFNic7T31/srnL3jh7wS4fe83qP79kQ+3fWn4ioaDqx+d79uP3fgnm757q/asXe/bq5Y69erllP3/nsGtBAPoXgO02XfU8Nv7ZThVwqbkCuw374ZnX7TxDmdWaI8jbxQWg5D6AI9i3a8Czq+r5ttf/gC57T1i3xRw9rTffDqskf3vNdjdXdD3dXLO9rVVXd9R700dnqeUBnAWB+9bGUjWF5zsxlfe6nR69fw7g68vU7Qu2tVSbqtsMCh9HZL015y26tRV+VcYVnVSeGh77jsIzZLNScsh1PFWo19WD58y6AD8DNrL1pYJ+fSaeOV8G8tB7R+XVgiuj7j5QA+xz2POg7HyO4hPaAXs5M23lDHV9RmqPunPeO6CPdH9sQ11/sKFOrg8t2fWxJToBHfuOmlOj37YENXrHHYHf34GFp9XmY7LAr2BOG19u+7ZWoG/1X2nlxxp7Wm7ZIdJ2gb7aYtsAv9pmOysttrMU1TsGc9TqvK7V8NvLjUaqrkVhvmb3Vbdj7eebbXOp1WbKXXZnbNpuosAo7FjOro3m9Jr3qs8nc3ZtCnABtCA4r08V7PpUSZCj2nzv5mTBbgB7uNyuO8yy/BM5uzxWkgPAJVDDx3/vMtZ9vGC603qTmuft8riDf3EkJytPDx41B/KqqgdL/4v3PNPwjys+Ad3J9gF768ZVO/f+r+z+R6dtsPFLmx0b0Hlsf3+xZ3//fl9gcwdooAf4v3//TEr+w8vw+asd++m7Lf/udzv20wtUft/hfrpVDe8oATzQI9TbCpbeg7uY2kvdn64Kelp0svGarAs2fWdNP1hAGw77zgQeiwQ1vBzBU7f9+9oWu2p728vGa6m6dtCt2f6GAw3UqLX2wW8ynbeqBUE74LZ8ISCZF/yx/SbFp/ZnZHbOVV5gMzoLzD5my6Kg0I523KrX8N6Oq5gAX5qrAa8fmGBM1o+vAnwurDwXoAvu+ZJP0VU4tca3vHLnmGkH3Ot1anguJe/FnNptrvAB6hz9d7f2vmGG3XEzsvuAj8X3ut5BTzR/YqNdH9tI9yeCXPV614c21PmxDXTelboPd32k17wH9OowTXWwhqOoarvcdBpNrNebr2tclmcEdIe2V1pte7lFKg7cAnyl0XZWmvTs/wZzXs/HgI7Pq+ofrHptCKfZthdqoKPItNC4qIlR6euTWbuexl6TqhdqAAMyoKdLdmOyogXg2njJboRn/K0sebgrTUe1R7H62PuCXZ0s2JW0LxoAf2WiqLJANTsLAun7RCbA71mAUnhabfTmR/ICHRWXkocF4OJgViovO89MfYD9fN+YvXXrtp07/pp9ee+o9Tf81bIjPcYPKQD2P3/w6+/f7ev9zy8d/Ag94AvoV8C+Y/94xUKwo+866Nh5r9sV5Km23xXgGqx5Duhu8wEW8GnZKZknoX/qYFPrA7LfN+3l022pDfDFuh/YCfw0ebe7GRR91fZ31w/05te0z10qr7HZoPLAv+W9eNQe9d+JkLNIcIptOK5avXb67KH/rvSe4ZswSgv4sYYH9KjkDN+g/NT23FcXHXZeayPMYtm3vM4T0hWq+9gd9nj2vMMO9MDPYA2/Jec74JiZd7gB14O7jECfL81K2ctFn6Sjx84F2IJ91o+yAnCuUiFjhdlJWf1CfkbHS/U1/8FSnYD+oQE01yA1e9eHarMlOj/wBaDjrp4BOVZeCh9Ar/bX6a2znbXVj6GKPXbV7E13dYT0IRL3aottxV/z/uCFksfvoOK6Vkjmgb7BsPvsgkPtmZdXih8m7nYXWyw31223Jqbs+kTGro3N2LWJjNTZQa/Zd9lzgVkU2FLtqYLdSpd1odA3p4p2fTpvN6Zqqh7tPAB7Le92X0FcqM+9bvdFQAuAwEfB83ZprKbqUvGxnEBnvBYFx8YT0EU1VytugFp+2jfEsP89kbZ3Pv2zHX33Nfvi5hHrefInSyfbta8axf6fH5/bP356av/84Zn949Vz+8erp+ago+YOvoAX/Lv29x+f6TmKr89f+CKgxeBlrOG9fpeqh9ac6nleK4VH2dcFrxL5Z6FFp9Q+DN/s4wR2VGsC2ff7PnZLC49L6r67Zc93vNZ/urMe+vB+8AWtN43SMlCztWb7cThna12qz3tAx66j6rze3/C6Pib3SvGjunNfXbLNpXkpu59Tt6DXQI26c+d5fO9q7gqvgRr67gtzAp2WW2zT+Xnz2Pqwpz0cSyXQKxxUWdCsPBZeAV3FJ+k8kfeaXb8Ugz1nio7trgBewNJH2DMK3/iM1F599/yMlTRemxP0nP3e2/KpDXe6fR/u+diGumugR+Cr9w6fnutrv2tcDnyw73GIJtr1Ft/WWg3mwk8+uaJj26XszVLyqOaCHTuvcK7J63jUftmn6XwB4LUHeiwA8btslCGkI9XPlbvt9viU6nJU/UY6qjmK7pfs+OSs3ZwqCGaARr25eH17qmg30+Wq4kvZJ4p2Y8IXhWvV2r1o1ybLdnWiJEVH9V3tCegI+PgMe099XtRddp5WXBi2oV6/MEI7Lh8SeLfygh7w43DNcFT2jL3/1WN79/Cb9vmVd63z/ic20d9ua6WcFFpw//RckDvoTy2quiBG4cP183dPtQgchD8uANHmE9bFwK46WPNi214+D5aeWl81/bom7VzdN6qv1ZY7oPwsFCgWG0oAnUSf76hfTxsPZSe91465jbBH3mfhUXMl+GE3HAsCi4FqcwI7anRda9oFB+h7ayu2t87GmThtt6ieO892Y0CHeofdbyT2QM09gh9f+864OVtbmZN9rw3XeIjn6h52us2VbX2OWr4cTrkpq5/OqTVcqDqXQC/mtPHFN7/4ZB3AA3q08IK9mLO50qzNFWd1B3yGaxTSsRjMZmTfqeF1Am0xp+OfSd1TPZ/aSO9HXqt3f1BV9OGeD2yo+wOl8typ37HvbuHvCfZo4+mpAz91Or11v2pnxetgycY7wboTyFGrrwA6Nh7VbrbtpTY921xttK0VfwbkNbVvtO0VT+p3Ft3Su/KzOPCeWr/FZuf67c7EjGpyBz3ndfZkXgEbkMeLGv3mTFG1+K10UeBzvzHNa7/03WkCurzdmCzZ9Ymy3Ui7zZf9B/50SbDz7wF7VP1rk0W39RMOOqEd8AM3oMc0njqdC8se223qtQ/ntZEmTtVdGs7Z0Sft9tbJY/qxhY5vP7JUb5N+PhjY/venF67iPz23v/+4Z//43iH/+QeA3gt2/pkvAq+e2T9fPXP1f/XU/vFyX9CzOPyEnf/uaRXwV9Vkfkd2/lXouWPt+d/98XkYpSWhV+3u/Xe9pg0nS78tW8/foHzLC4C+6w7gAOwvd7yNR6CH3VdYR+tt2zfZoOjMyWPzAZ3nWgAAfpPxWyw+wIexXOr5dVf12JvHunPxXHaeHn2w86rNUfFl3/YqyJm2C8daqY5fmpeKr4U6vboAxLZbaL3p5JoF77nrWKo5anQgx96zQcYPnqQWV62OfS9g6f3ywZoD03QFXvODkX4YJQvD3GzWaMcBN/a+PDur1wI9n9HutUTrpwIdNY+KLqgBu/sjgQ7gQ933bKjznvfcuz40+u0xmEPZlc4fGKZx4AHdp+tI5FF3V3TUnCsEcvEO/ArogJzPF5tUw1ftu+B2qB1wLL4vBF7Dt9juSofl5wfs9uS02lo3JoC7KEhvToRgDWDTvC7YremS3Zws6X57phRsuwPuFr6oZ0CvhWCyJKWX2h8EXLV8RVADPYsBi4Dq90kP/GjVAbqGbrSBZlZqrXqe0dqRrHauCXb2uxO+pbx/HgduTrYk7XcXLmijSutXd7WvnIMIv3+xaf/8+ZmD/vML2XbZ8R/duv/86rn99P0zA3hABnAWAV7zPV8Insq2/+P757pj9VH8mMpTEqDotOhozQE/6qw+/PM9AQ7YfEeB3VMg3jQGc6K153Pqf2pflAobr2Ec5uzVqkPdXeFR+pe7nuZHK/9sK1r5OGfvsJPSAz4XoMve7yzZs81126Utt+FqT71O/x3gFdxxIKV2yDEb7zPyBxU9Qu6f+cCNg+7DM9q3Tp2OxSeBZ3qOe/iZKOAG9rW5iqDGtgM4zxfmijqJNtbq1Ov8/4Rz55dKBVusFLQLjtZbHJ3lcx+hrcGOqtN+E+wFV3RSeoFemJKi97d8FED/0EZ6/2DD3Z848F1/sMGeD6o1uxYC1e93g7IzKhvCuQh6qw/ToOxV8Fs+0DBNDOsEulR8pdV2V4N1J5RbAWBP4VHzzeX6AHmz7TIXvxiBbqim9D46S1of/nbJQS8sJezu+Iwr8ERed6+33ZZfncrbzZmS3Zh2ZUalb09VdN1Kz7tqpysK5XgP1Fh8qf9kyWGmVYeyT82FkM6VGwUHdFSbMI8a/np63lU9VbJrIaHXTLw2wRSMEVz2xV+gtTaSFdwXhrN2cSxrMZlnMw7n0b9x66adPfJra/rTFRvtbdJZb6jeP39+av/4yety6vG/S9FdrYH47z+80PU/P2DpUX1Xfj6jnv+fH/YFvur5H3a1KAD8zy8B/an67aTwhHKALjv/fLc6hMNzwR9Al8UX8PTftwX092ESj349drqSzYQFAftOqLdu3+1u2/d7O/YKpd8j+NuwF1J7+vBA7u26CLZq+91NBXao/P7Optp21OooOjV9FXKGcDaXdPJstX6nbaedcT6Qg5oL6hW/o/axpldQF+v2cCglYDM37/d5tdjos1OWaEZ+nkk6V3SfnmMDjNt2tdcqs7Y4D9RscS0I9KViSa+Xy0Wbr+Rl02XhFd7lbamYl81fyIetr4WclUnoFdpx4AU9d//paBQ+O8HAzMc22vup4JZ97/3QBnu9VqfNllRI5+pOrU4aT+sN1R/suqctrszKJzu8Bactr4Df+YFOl+UAC7Xdwplzh/bXWoxe+t5qs+2ttDq0tNcEvrfadleawiJAQg/g/jnWXol9sPg+ZUc458/1b6Doi27dbzIgo5Qc+PKu3tTgk3m7BrzTFVf1qXkBC9AxiLsx4aAD8o0poC1oAcAF4ACAXvZcUHt9L/s+WbBr6aJf1OuTnuxHC+9DNz5Hf5kW33hOu81OtvTp3LfLo4R1uRDG5exSatYujczqNJy3//xXO/X+b+zBB2dsuO2Bwhd61f/4aV+q/I8fXwrgf/z4nf3Pjy+N91GtAf2nH57b3394qc+A+39/+s5+/tlB10LwIwvDS/vnq5ce3uECgBsL/3LfX9Oee+HKzvOfnlMa7ATwATrU7QziPNu1H/ax+kzd+fXqhS8a1ODzuYzX5k8BmhKA0VyHnr695vD3fKF4sb/lO+442opJuh2fxMPeP9uNNb1vsaVm39tZs93tVd1VxzM7v0OARyq/qh+aUFCnsG5VQzUAHqHe5MhpBXW+x50OgSfz3nLbWoxtOJ+yc+vOaTbecgN0wc5W1xUWgjmfo18sS80j5Nq/rhNnPalHxYGee1R2WfVysPNlD+MWCgVZeBQe+75QoG6nHeetOO11n/Ufg+QXXBIdn9po72dSc2p11evA3fOxntFjJ4lP9XykZ8NdHyihF+yMzoZ0fqD9jg21e+uN73BGfJykY8hGVr4t1Og7q422s9pmu+sAHC+Hfne1TbadgM4/Q/lrLTnV4arrUXGGbbxVt7XssGPdZxcSdi897TW6+t+zdmOmEFS8UKu/gT0Af5v+eTpad0K4ihYC7igy/XWUXxdOYGpO3+e5qzjfK9UgB/Zp3oe+OradwG4s9NpDOs9vv51o7DFAP9GW9J77qE/KaY874KeyduSbenv36Jv25Z0j1t/4leWnhuzlzrL98+fvBLTUHLiDkv+/n7/X63/Kxu/bP3+qfS8m8qg73+c9C4KcAOk7Vh7If3juan6gVse+A7qGbUjmWQBePLWfXnDfl5V31ac1x6Kwbyg5Azq8j4M6qDyTW1j6H5/7d3z2flftN+w8CwXfdyvv8/b05QFdp99w4g1WHcu+s+kJ/O6mPd3Z0Ot9vSaNJ51fl8Kj8groSOTXOIK61o+PkAO8W/WFat1OkKfPdbhF+DnoENhtL/sGGpJ7394agrmFio6ykpWvhHl4sgmgjQMztNnmOVq6YMsLRVukbq+UbGGOwysI67yGF9Da5z4rRdf+dtl4t/tK4and2fEWxmcZwqH2nxlL2ED7Z1J0bLsr+h9sROHchzbc6coO6F6vxzuW3sM51e0Hdr+h7lL4MDKrjS8cTRVm5A/traHabtv3w7AMIAM1Vh7Qd5cdbn/W5s+qsNdsOpC7bfeNMlL2lVbLzCft3lReAzEosIdj9MTLCt5uzcwJcOy6avTpihYBT9sddj7j+7em5u3mdFB8JfNA7qCzeAD+tck5OQQN27BgcE2UtQBQJtCeo6eOuus6MAt/oqHLLvSnfFsrR0+rds9olxsjrwzXHKvrsrdOvW+fXDtsPfV/sWwqYfvrq/bPn1+5Ov/9pUCO0AP1//7k9TogR8jj57Lqof2mheEnlP+FXz+4K1AKD/D02l9uC2x67Fw/o+AofQBZ8Mf3An/Xx2ux+S/cDQAx0LIwAD5/y5w2PfW4CPwC9GdswNmTyr98umsvnpHy7wjq2IYT4IC+t23PBLVD/nSHu/ffpeyk7TrOyut04GaSziGvqbhADuOzgC7bvubjtHyfz3XAhQ7A4MiqcEZdqO2p04Hd63TabAeAX6p4+LbgrTYAFsQLDr3X7h7SAX2EnEWA71Xr9MqsVbTVNW9z5VmbK+dk7/1Em5qqY+NLnFFXyWtTy0D7pzbaB+yfWar3j4I+1QP0f7Dhng9DEv/RL9Q99tqZpuM1tTpwAz3Krtqd46gYjxXgd33Pe9tdOwTUDnSr7a15TS2gZc8j7NTsEf4221v7/9h6z+660utKl3+we9xxO7m7bdmyLKtUWZKtyonFCsrlSsw5gUQimBMAImeAIEgQJDJjldz9G9Ydz5xr7XOqfD/sscPZ54DSqPnOueYK7+6YHPw2JXy69crHfxUwudNuX0nCoxTO9R+O17syB05zSmdK6+4rBnSPAQ7IcdcVq7MIdF0VcMXyKeOR98TzL/aySFxpOfG48sT53Vfjxe5r8QKA77qqs1XANbG5q+3a5HxXmXEX1Jf+N7//Kl6iI+4M9zm/7tRFD6o4eT7+bvfJ+E//9PN45e//U+z5/RsCOYMYkNirK3cEdkC9en/JYF9eDNhc7vv9hTCjzwdyvgDfAF0KwLF9xfB1JobHvJM8pw5eIM9Ku0WbdmLz21Np2BnQOOrF6DLvbs80sl9hQDI7cT/12AzA4Npgn9RZEh6gszhIzk9rceBeBTbTE1ogCvDF7jC5Um0w+hSltBhxFNUMScbjyHMQs3PwGbG63PbsjgPMPpLNR+3KUy9PWa1HWXnYBWWzZdxJugvkTrsB9gJ8lcsi5ZlTp4yDNobw5hAYd8TvjuEvxGD/lbhVcT05eBie+P0acp2YHUPOoC5Zb4POsTvsLhnPO1cvaJvlo9+8HR2H3hHAidU5AHpJdUl3HHkV1VBYYykvab8PN/7XduIpqNmNUdeK29sHWlTb6w4Y27E5QOe6jgK2zTexvpjdCqCAzxnHncVBsXv/N0qp6V5K4evovXkoXu2+4Lw4QCY/rrNNOAEW0PZejld7rouxFa/jvndfi5c7r8uYK1kvsJ9zyk1pN33Xi8TLvde0UMDUTWyObCetxkFarrs+wxsw0FEZVOv9jz98E3+/+2j8w94T8ZPdR8TsvzhNpd0VtZ3+51d+FS/87f8T3+z6VXQf3asGDqT16v07Ai5xNqBeXbmtMyDXsbykd9ZWOC9pUeA7re8tSPIDfsXleXZcb3bHmIPZAey9JafcBP4lFgDLekAqAOcZpvdBgc6cmV/Ofb43b1ZHKZBOIm5evjMfSwszAjnfBfTF7sTqsL/ifcpvid0r9z7jAZZIe9x5AK9jZkKAB+gl2ZHvTsU59SY2T9mOLNcxWrl2F9uojj5bZGXYZQusriXvf5hrh+FHb/U3DjySnYYYdblhzg3YpLs1kFV0xe43nV830D2eSm4937l+VXvAOXZ33F7grhQcZ4H/quP2BuSk3i73BXuyHf3mzeg4+HZ0HOTs49TBN4IDUIvd9xng3J/cy/MW0zeSfo/TbwD9B2CnKYZxVKqT/1XsmBx2ag3m5Rqwm+W/UdwOYMXwGHI/AjrA9jMzvuPz9hjfKqHnxsF4lVJX0mgl4Ymrxd6X45VzlvBiauLyczfj5V7Lc2JvgbfTMbpYHqmeCwZxuKV7KoAeGN1ApvxVsbyeOeavBcCynvfcJEPxDGD/6cHT8bdfH4mf7j0ebLyo6TUU1pzsi//y5kfxk//5n+OP7/yzNlqg+AJQCrwrt2MDEK/cibUHC7F+/7YAvb68JKADfAEb1l9eFLPrnZT5gP/Bg5L8CzLm+O0VZDwOPTH7nQVXyd2ZswuvFB1pOo4Fsz2f3aaO3kBWrF5gv2Ow8xm19ZwBv5TAwkyMDXjO2/2lhVhanIs7NOCQl28DOoAH6HUo3lfazqxOLH97aiLmp8c1vWZhcjzmuG5i93GDfdJVdAC+0m/VHKNCmnF3xhXoZdgh42uLqFGGVCaTt11XLE+OHdk+whbPWS8P0CmWKWOOnnYOGL0O2Fz59SyiYcosjM5zF9pcjaHrVxW7E7/bqLustJvAf9lDLUq6swgU28PmN65diHOdR+L4njfjzMF3BejTh94MHQffiNOA/cBbyewGtoGfDr3Y3FV0SHWD+zXF7jjujUnHxBom1+Th9BogJxYf/jamRgx0Ab+eE7MPfpuxPEz/tfLjMLni+cFvFbcL+ENfSyGQgpu49W3MjeyO3uuH45WzFMk4T447LlZOGf5qynCxc8+NBuhic4pkeojLM0Y/N2hHvgezzc8AO++8QOUcZhzSXXXzBrdZ3oze5NKDc9MZAAAgAElEQVS7nHbjN2B1p92uKQ1H1RzSHSbn+Qun+uJvPv1L/Pf//f/GJ7/5xzi1+/dKu9xfmI/N1eVYe7AY6w/uGuQrAPu2j+U7Ar8WAkn7u2b1B5btBfxidc5SAyn7YXMdqqrL9BvgXqJk1mBfWZwPDoN9zgDWAmAAY9JVRR15eNQA7E0IILAn0GFu5DDgAOh3byPfU+Ynuy8utEAu1TAPs0/H4tyUWB22h8nN6GO6xpTjGTH7wnhLypcTPzc9GtOTbn6B1ZHvnHXNPPlkd8ZYAfI6kPd8pom0DLsYHlTbaxl3SHeVyg7eFNiJ12Fw4nSAbnbP+njAr80dGVXFQuD4HcADcBYBnnHG3OM3+q9ddl6d8w2kvNNx7Pg6eOWSYnHJeuJ2hlxQLYc5d/Wi+tFh9LOH3ouOw2+J0WHwjoNI99/G6YO47Snj973hOJ0KOoy77Hhzeeyv3NNO+i1LaAv4NZqKGJ5rtakCXOJuXPfpkb0qkoHdJ0d2+znOu+rfU54Pfx1Tw+XCw+DE+d/E9OBu5dgpstFvEgYM7YneG8filW7KW7PCrfeKJDomXLExYH+th/z45ZA514Ozfi1e6e6Pl7t4z+8Cfgw5MXkPYEWqEw5cV54dkAPcYmz/PgagC2bE4GqUyWYZ3qfHvcOFOsT1KontcDENkv0nXx6K//XTn8R7L//POPr1Lu3MyX/ogHv94d3YeHhPYAfwMDeMvXYPVr8T68tm8rUHsL3jeLH88lJs3Od79/Q+vwOoSwGI9ZcXY2X5jkw5ZLvAvDSjM0wMUDkUt9+Zbxjd93bqBeqsl7dxR9GNY3ul4u44pmcBIF7mP2wDHZnvOB9Gd8w+rWf35mflzANwjDmk+20KdIrZNeoqi2tItVExN20Xfn7ceXU64zDvnF83sGl8caxuwKsTLjvdWAA0Xz5bX4vZ6Wlnp1didVpcGYIBm+ObYN6RUx/rd208jMyIKsXrt1rNLzwfuXldIOd/f4GduPzWADXzLrjxAuACG7nxN2H3K2Z3ut+uX1HMfvPaZQMbgGsBuOyc/HX3vp87cziO7X4zOg+/H2f2v5ESHhn/2zh1ENluhj+2/w0B/vgBSmV/65bWrJpTNZ3kesbre38lsMug+/Zf3AWXbI6Ed4w+tEfMPD2yLyaGv42Z4b3BNeCdHNojtrc7b1lOLh0gI+kbqX9rt+J7pHx9hjqYHtkdPTePxGs9TqcBaID5yjlicctxgbfHRTKv9SZj52IAUwPml/uQ99fM9snukvU48D0sAoQFN/Wu5Hr3RS8YitnN5pb5vOvuNpfHXnaKjlJZcvM9V1UDL9nfdSX+8eDJ+G8vvxpvvfA3cfCLD+J672nFpVsP7wnoa2uAdSk2HprZAS7MvHH/bqzft8MOeCtuB/wGPOy+FGv37nixUOzueJ7vA3rifYw6Kuw43787rTQbUp7YXPE67L44H0tLk3FvCWkP0xPLzymOv3tnNstnHcPzPaXt8j1ceO5ZOChwoT+bRYX7+wtWBfyGGH7R4JdzP+e4nRhdYKeoZnY6bk/SLeehGIvMpaeqbmY85sZHU8rD8BMxz31WzhGr48YTw09OuHJOefIx2l0z1z5xU878ZFscD6tzTA3dijEm12SdPE0xo8Pub6+NJSiSEehplhm8LgDD8rA7QGerKOXWb9iZH6TIZuBG0wAz2t+vQpuhwRsxMGBzjoo6ymeVX8+z5DtpNjn1F1VtB8PrncuXdK8JM3veiLNH3o+zh96N0/sB+Tti9jOH2JoLVk8D7iBMTi6dCrrfKAV3rMpmVSLb6nzDice8q+IZpdyyI87ptaFvYmZkT0yNfhtTw3sk4eWsI+eR4krB2ZGnLFYLgIBeaTczOjlzLw525usaRn8dRqekFWf9HMabZbfAznPidEl0pHteK06/KWaXrOc9VEBPf/PuS503xPClDAC95HuX02ly8MX8lvHyCainP5tFNgnwX56hFZbvcLjK7qeHOuO/vvl2vPiz/x57fvdWXOw6of9oYXIB/eFdxefrD+/HOqy+YoZ/iIwXoO8IyIB8Y8UmnWQ+Eh25f5+4ftFyHsm/fDs2AP+yY3RifgBPDp20G9d24W9n6SxtrwvOsSfwBfSlGX9HMX1K/OyDf7D4/xPLL1jGA1IkLL9BBZ4dfst3rqm+q7ieGF2MPu+z2Hw62Z1quhxzpZJZWH3CTC6TbmJU1XIU6cDqxObUxjNvnuuS5zqPF9Bx6geVloPdFc/T8poFNoBcrD7kNJz3c+9P+c4uMmzx7H3gkO3F6pw9lsqSvuLwKovlDMNzFOv7M/exk3oD7LC5QJ9z5J1+c6ENrM4CgFPPdc/pg3Fk72+j68j7cebQW3Hq8Ltx5uDbOjDmTh/IWD3TbTLoqvnlAEU1WQ+/h5z7GwK3Cmr2vtHmxjtGpy4elt8BsAE1x+zIvpgZ+TZmhjjsxisGR6rr/puYGWyZdvU9SfcC+cBXYnY58EO7Y+bWnui6fkQlqwVWAR5Gl1sOS7sq7pXem/HquX4xsxcAs7WMuXNeDF45j0l3U0DXu5LtWVWHfAfolM2qFNYS3rl15L1LbInTqWdXbK4hF9cd0wP0jN1fONUb/+XDj+Mn//Bf4suPXtPwCOq01x/ci43VJbEwgN+UfDfIAboZfckGXTrxBj2yndh9vpH5duCL4c3gpN/kyqdbv3pvVowuoP8A7C6hpWqO6joX2Lj9VYwMK+ch4C5ast+llj7je2L3MuZgevLiSFccdQPahp6lvs073P3lZHrCFww7quss2+mBx4Wfynp5KuRohCGvjknH/bhAPg/waYCZctw+pxbXkZiaolR2yJNqKj4nZlcl3YCr69QgM+TCG+J0ZtYNM6jyVowxymp0KCZGGFNFnt318mppHXD1nKrlADsdb4OOu1kEKJUdoFIOuT5wPWB1pdUS6Mh07nkOqF1Yw7ZQBvqtq7A7c+Udvys2v26jTnX07Bhz7XL0njgQx3a/FZ2H342OQ++K1ZVLT1NOLvzht+TAlxN/ApNOwDdr48CrJp7iGlJwe7NWHmnf1gQjVt/969gBkxdguQboMHjr+CookyUFx3sA/odHpeGS1fNzmmCI8Vk8ztw41qTUAHcB/tU+QG4Jz7NXz7kYhrMZ2u67XHjYvpcceutswFsZAGzH7Zb4qAP9Ro+ZXfIfyZ+18VTFuWw26+CrFj6r5f7m91/G//7538Xv3vx59B7bo9hRjP2AmHxZJhyx+cbqvdhYWxGwkfAsBAJ8SnHArdi9kexmcUAOYyu+b393ZUmOfLE65yqyUQ4+y2phdqXhliiomYuVRTfLwPAAXQe18UrJJbiXMh6XfCfmd4quAfvtGUl32Jjf8wIxq/d4h/dhdmR9pe3E7FTmEcdrvNWkauOr5r1SbMh3lclm7TtjqwC64vdqbUXCpyEHazsutzmnppgpbzkFizfpON5HvgN0pd7IxTOQsm0eXba8ItUBPOfW0XLlicFtupFuax2aMnvToG//HJYH1GZ0gxuJrrhdpbOXGneed8zsl8XoJ/YA9PeVS4fNcd1lzB1Gtr8RZw69ER2H34jThzJuV+xus65ScMqp78eNd+ks0p0FgK43GN418k67Cehi8ZGvY3Zsr2U7JpyMuAT8ra+bBcBSHgXgz5R6S3lPDr7kern2AP3sjZMeFNF72ZVvKdUBuY405QCnWL2vX7E4AK9Um2S94m0vDGXYvdwFuyfYMfMyj+4FwSGCY/OsnqOghm62PFgMlF8/cyXczXYxfvLlgfivL/4idv7qZ9F15EsZO8TcABxg4rQLoGv3dOZaxlzF56uA3awO+Iu59Szv/f5dx/krKfXF4sTkTs+tL1OAs6AU2+qKnzt+p3x20UyezTEA3+D2WYC/M6+UHGk5PjNwPbGG69Yzy3QWBWJ06tX1GWBPV7/eBew8A/iAvdJsSsMl0HHfAXYdBn1NqylmH7OcF8gdrwN+SmKnJ0abQhqAD8hZFDhcgON94wT2KrDJSjkWByS/gM42UFlRJ0YH4Nrj/aYMOg+crBp59oZD0l8P4nAOrkuuD/Xj2mPMeQEoOQ+oC+ickfXt4K/PyplHwveePhQAvfvoB2Jz4nQkPEe58JVbr9RbMXudZcZRIVe18VTU5aSaanfFobc7/5vYMTu6O6ZHv43Z0W9iZnSPAD4zuk/sjYQvQMPmM8Nfmt1/xPi49QJ4SnzCgcmh3TqmRvZFx80T7is/dyUw45DqsDYyHMAatJbwXPPZq30w90C8Cuh7E/Ay77j3d17pHfB3YXml6tpTbtcytrecb6+2E9tj4PVgDFJ9l877mSvx0/3H4n/8+l/irdd+Gh37vlClFQ44IJdsB+jr9xWjb6wt+4yUR8KnlAf4yHvYvgH8ypJkPs/Kqdf1A8f5tSDIpU+JX847ppwkPY7+fV8/WF4S0A34kvHuggP0Ajp183cXDXZY/s5UA24BNuN7QC/g37ut0k5i54dLrcVBC0Sl9RbnVEYrhi+gz7uoBkavajmaXlAGlNQK6DWths0hJwF7qy4egMP2AHl63Afuu+LwlOnKwysfb9BzX0CnYEamHXu65zQb3PhRgD6S7vvQTYFccfogacSWjEeyV65dsTsNLwO0vRroBXqekVMvhh+5YZYvKV9ArxheZxYGpeAuxQ3aXa9fip5T+xVb9xz7SOA+e/htAb7ALsA3hTS/jVOHfyt2x5UnfjfY3ceuYhqq5vb4vmH1fW6Ggd0Bu4A+D4iR7QX0sd0xN4ak/yZmb9mos6RvMXmZdADc8t8x/fTIXkv84T0aZoF733HtuNNmALzvmsBu2Z73SHZcdp2veREA8H3OqRfzA2Yq50ivyamnRr5x3c30jvENXtJziu/bQX3uWrzU69Sd3Pmeq/Ein3ddip8zpvnDnfHyiz+Jo199pv8YVlfuBoA2eJHpy7ENo6/djc31Bzr4bJP7tTt6b+thC/iS9hhtuRDwLt9nseCa5ywG6w9dJaeCGxXe3FaKjr+PCQejl4RXcU3m1mXQkYLLNlcAvkZ5LT3uPFvCzAO0NcaK1Jo/k/RHEQD0e14cqOMGLHxGW+yDTONVvE9FXrXKVowOq6vLjZJYetYx4uhlR65zjxOfgOeeYppW9ZwlPS684vY06gC/cunaQsqxfDG6m2Ion3VRTU2rUXquGH1sMOh4Q84rzZbynQWAuJ0Js86zW8orbiflNmQmB9QcBWrADvBL3nNuFoLrVxTXA3gxOnF8Mj/gJz7v73e+ffjGNQH9+J63o/voh2b0BPrZo++Y2THmDr3lWvgqppG0fyNOHnozFK/jymdeHbADcNJy9LUTr1flnIZO7vnX2IG0BtQzY7tjmmNkt69Hv025/pUNupE9Zn1ieiQ6xTWk1IYBehbTDKMAdqdzj3u/V4vH6RvHJd0L5LBolbq+fg4D7ka81jcgWf9qj+/1roBuRhbYzyPRr9u5pzy216ac0mq9l9ri/avZqWYQG9D+HeXkATYxvcZHe3DFCye64n9++kX87OV/jq8/f08jhwSwtfuxuYJcX4mtlWWx9BbP1h6EzgLssoAOU29nXl1gXjXjA+ZaKHDrdZ3nWgD4ruP5e86/P7jrCjpy8hTY3F9QxZ2ZHQeeFBzPXTIr6c6CkNV0D+/YoTfQLeFJx0nG01GXMb3ev+d0HQpC7DZwXf8GAT1lP7G5ym5Turccebe5EqOTVoPRBfDZcQG+3Pf5HFqxODWpHndScoAdZr49NRUUzqioZsLAJ9WGTMek4wzjz86MW7pTNaepNR4nPQf7D3sWndJtublEM1aa4Rak4rSBxECCHEfejTCw/DCO/OBNVcqxABSLj/bn9S0+8yJAySwLgBaCrLSTSXfTzvwgn92g/RXAs3NMVtKxIPRfi+6TB+LE3nei69iH0XnwXcXqyPfOI++IuX/M7NS/E7erwEaNMG+K1cmz1ygqmF5pNzreGB+NrN/3purh6W/fMTPydcyN7bXjPronZsf3xPQYeXQ78WJ6AIuMH8oFYbQl6c3myPp8Bwc/VQCLwdzw/jh586TKUuWu91219D53PV47fz1eO3c1Xuu1hEemw7Yv9/XHa+dvJqM7ji925zvE1QD/5T7AaylfxlxTTNN9NX7B9Jlk74rdxfIKAZyfxwT8xcnz8bdf7IufvPZS/PHd30T/pW7nwlfNumtryPAlsfj2+ko82ngQj1ZX4tEqYF+JTb23HFvrfm/rwZKf5fcLzAL56r14tNZic8IBsTrFNsTocvUt+R8ut9JwSPvGvadyLhtkeNaUyRLT8517VNjB2k6/idkb8y5j83ttZbbE95m3h0Up6yTfXyFAncXqd3PwRTa+kFNXvJ7dcMj3ku0Avgw6WJyFAHceVof5Fyi0oZIup80K6JOTkvYl5WFxns9QR99U1rVidcl35P0II6hdVjs5OSh33rG6GV1GXe7qSs4dMCvX3k/azeAHuDzDjad01qxu5uaaBaHAzj3X5Nrl0KdLf5N932D2ht2vid0Hrl2LmzdcRtt1cm8c3/9u9Bx/PzqPvi/3vfvYe3HmCBLe1XICezI7Zp3SboD84NsCue89vKIaYmD4oyXZM34X4MXoo8j0bwV2FbiIycmpw+BIejP7LIU0cuRbLO4YvrUgiOVJw4nliff3xtzo/jh5o0PgLLkOSLkGtIrHicnPDTp277sVr+roV3wO6MuUE7hl2A1k4Ywlf4FYMr3MNvrVlVOncs5sDos3HXF0zHVfC7Z1+rtvD8XfvvVWfPjWa3Gp84jcZdh6Y+N+bKyuxPbD+47LYXLJ9fsCOCAvoPO+QeoFAcNOR7J5MbmMvAwFlJqrGH2F2P2OHHvl6FVSe1fOPAuBFgHq57NmHvaVzCd+T9Y3w2fXXAK75DmxOuyuA2DfIX63AlA8v+TBFzAwQw/5Td5Ru2wZfY2bv+BxVtX7PmdTrmJ00nPMpKtqOoF/dlytrWJ4imioqtPe7wY67jyptlYKjpSc8+ycAX71s1d8TgOO58e7j11Sn7FU2eOOIQfAxey5gQQdb0h3g92bRMLswyqVvZ5DKTxKGrDrGOoX6GFtg/+HEl5AZxyV0nMA2+69UnUA/qbBDsPzbteJ/XFyL9LdZhz5dFJtMDpg7zz8ts5njryR53TkM253DG8jzqWylM++KUansg6D7tj+N0MVdcj4vb+NHXOj3wjoisdHd8esAA7I247h3aH3UtYXi8ugy4WARWB2aK9jfdh/BAn/bcwP74uTN0/LjCugw9Y+zOrE1TD2a+cHVAHHtRk8P+/rl5uuxUBG3E0bdFxXhZ0MOafeymSDvQXuXg+hsPGW9e+k67ovxz8dOh3/+6Od8eabr0Xv8d2SnltrD5xCW78vZhZgud4E2Pdja2NFwF9vgP9A0l1gf0isftdxuGJ54vkEfbr1SHfAvLlCHj6r6B6azQF7KYCN+4sCumL4TM81qbrMs5N+A/wAEzZX/K4UnKvpDPTWpBoA34A/pT5Ah7V5TtxNXzrXBXJV56mxxhK/UnaqkJudjntzNuPKgW/m1GUzTLG8jDli9fnJBvSwP4ze7syLzTPPLvlOqSzm3WQNn8yBk7S/jjGI0h1wnOXaC+gU3rTSbE2sPmKQk2OfHBqMicGBRsLLmR+6mYzuybKk4WByAC82H+Rzy3iYm2sWAFz5WxyAWuC+EYM3b+gZCoGYnTh95EYCfR/jwAG4j+7D7wjonUfeitNH3o4zFNEceVsuPLE7bnzD7MTrMub+VexOFZ0Muv0ulVVjDF1wxPA5vWYHAKXxBPYG3BhyAFlAH9nXBvg07FQem9fKu7fex72vRUDn0W9jfhzpftoS/dw1yfZic0l35HtfS6Yb5P3xynlY24Ycz2BrOfCk3IjNVQ7rzraG8RWzX4uXMNww2QB6OesaTlFDKuz6//xoV/zd53+K37z1a+1yCqusrSPFV2LrwbJB/cDGGebZfzwexMa65Tsgr88lzRPcgLZichaMit2L7QG6wJ6GnN5Ph97FOHwOsy/G5gN3ysmhz1ReSXpJ+WR3ZLfz8AYvoFU5LSC/S4WewS7At10j3znYdACDDsYv2c9zLQhNWi475HKaTYGcNBtxOuD2de3zPqEedjW+zFM26+o55DxAR9rD5mL0LI1l2izszdHE8LA+Dv6E6+QL5FUzbzYfDkplOczqbniRETcyoKIaDDqATrENJbPVBAPYi8kBse6HaHW1GVeMXueK7wE9QDeb+2wmh91dfAOjE/N3n9oXp/a/I0YvoHcJ6G8J3ABdKbeD72ZunZx6K/3mHPtbyrEL8AnqFsD/JU4eslmnoZP73rDrLoCP7JF8B+gN6LOAhtSbZDxpNy0KXggAM+/D3KTk6nf0XIvF7pgdOxCnbp610YZcP+fBEYD89QuwuGU84PfBMwO/xep1b+Z3Os7gL5CjCpxrH8jCGv5OHsh0UnFMp+m6Ltf/xY4L8b9+/1W8+Cb7XP0ubk8POa5efyC5ThGMmFgAz1g8ZbsADbsns3PWAduvEbuzWLSKarRoPMC5bzG7nHtV2JnB7QG4Cw4Gr2IaQC7mX6Em3u9Wyo5FQdcPiNmJ8d0SWwU7kvTJ9D8GtxUAZp6lPo4+wEf+M/4IF133i7A9Dnym7FRth3Snaq4q6OzE0xIrwM8ztJIxVtntltfaIgpnnq63eeJ0G3M6q4fd/esl1RlRVTG8pP30cMzP8I5z8pVT15nCGaXnmE03YpBrH7gWyA10BlcY3CwCmHTI+CZuV/86nW8260aQ7bfogLvZyHZArns9ZxdYfz5086bic4y9itNheLF9FdwMXgtidGrbe459KOe968gHYvOuw+8J4IC/gA6rm93d6IKcp5BGB7F7dr8BeOQ7zI5Bh4QXmx94S+cdGHE47oCUWH12bL/AK0ZvpPxumXSAHaNOrJ+pOICPa+/3k91RAqkG5iYOxfGBLo1mfrUvjbeM0VvgBuTE6c6tv37eUp08O88N/JTvTczenn5LKa8Cm+xf14Li31WOXaZdFtecuRg//fZQ/Pzdd2LPnz+O2bGbYuPtDViclNl9VbuVs06sTmwOezcxeoKcdzHoOAA7Z6XUKpcudx2Q34+tdRfbeBGgPv5OkIrDvNtevduU1m7e/6Ezb6nvRcBxvNN1sLncemQ9jTSqm/ciUWA3uyeLt5XkFtBZADgAPKyNhGdsEsCC/Wt4pfLqpNsAvtpiDW7l2BcZZ5WmHDXyGmmV/fBtuXaeA34OpduabZ+zwGZ6QhNuADJ/vz3/LqDTBTfD8xFtFllAZwKtZTv18AY5sh1GB9QG+KBide37NuyNIlRNN+SUGiYc5bNMnRXIuZdp1x+AHWYfH4TZ/TkxPYDWfb/PXMugU3HNDcl00mmS+OTcr12ReXf2+O44s98xetfx9yTfSbUBdGJ1QK6DtFsTrztOB/RUyzGdRkcadoBcQKeXPQdYUFaLMw+r75ibqLi8ALs7gZ5SXouApXqBnAo6WNsAh+0L6PlbVTc/ui/mxg/GkRsdjrF7r8brfVfE3CqMgcVlxJmpcdFx4JHyOqd8r5ge6W7gZyGNBla4jFaxei+/h6lXFXVZhMMgC0ZRdfcHc+X/Yffh+KedH8VXf/w4pgYuC6CPNx8aqA+X43EBt02Ot7N3SfSGyTfsxAPy+qwY3VL9vuQ3kn5TYDfoBWCe/SgNB0hL7nPmNziK0SXvKbyp5hk1yVCBl0U7pAMfGPztMT2ABviS4RTeCODpuCtd54Ic6t3JUZOPx9GXkVeGXJXVLs55A0gaYJbm1Tmnllik++05GXHUxFMbz32VzDalsrOW70h8QM+ZdFuBnNgdd57iGtXHl1nHAqCaeeS8pT0mHOk4DibNuthm2EU02p65X51vLqZxQ4y2iEKy08o60h8jnAH08IBkulh+ZDBGR3lG6WyL4ZHxwxnbjw3clMHG5wCdlljkOYsAB9daABS/X9V117HdDaMDbIH8yAcBs6t4BoAffUdHsfnZI+/F2cOwOsUzKfGrNj7jd6rokPUnD/82Th56O04cfEtDLGD2HbOAcszuOMCdK8ldEn68Um6A2IuA5LtYe7+YW6oAM47qupE9MT92QI77zOh+Af3QwFlJZmR7e9781fNXW867mDtTboCdg/gdiX+xFcMDYgBPzG5wu6OtMeX6MOhuxkt9A0rV6X2UAg0z3Zfjnw+ejX/Y+Ul88sm7MXylNyh8EYjLJV9/oPQZwCLuLqAqBl9tmXMqnFE8v+z3WRw2H4jRG7Cv3xOLN9+log4lkCYdhtzWA6fbcPYF7tUlufyAWM9WUwU8uB3bCWBUgBtrDGYAC6PLtCM9p04619zzXGYdJbz3DVwZeLB7VtnpLNCb3ZnGygAHwgYWhYrxlVdXCyt1766nJzcPm3MmJjewPZKaoRfIe0B+5zZz5tzXLlc+6+N5prhdVXRT2r/d8bpBT0srDTGk2TjM8j6TdpMzLxMuc+vMoJsaU1UdgGdoJ4uWimpqLp065Mz4pOBgclh/VC69pf3ECK2vsDqLwaAKaQCz1MGtAbH8GE00QwNiaeQ8eXiVzNb0WRXYUHhjKQ+z8xudx7+N0wfej66THwXVcQDc55b73nX0rSBuR6I3YD/8Zi4EfgbgAb5Mu4N8RjGNwc0ZsANy3PcdcxN7FZtjms2P7omFjNXnx5PhG2nvghoWBQ5J9om9Kfn3ynRD0isnP7RXYJ8cA+gH4tCNLpWoAvLXL2C+DQjwSHSu20HdMHrfzXj94q14/cKg3PiS7wV+cvI+Ws47YH/93C0pAn2m6jrH/sj3Fw93x9//8c/xwa534nLPSQFie3NVAAWAAHVzA2Z/6GcAPcELWBvpnXIdQJNTB7iS7mvcP4zHVUyz6pgdFue7vAOr67c2cOMNevLv24QFvJ+SHzBvr96RrC9WR5pL6quijj54euBdS8/CQ1xPuywDLQgfxPA5ymqdgZV0160saZgFi4MkewKc+2J7Sk9Hb1zV7xXQYcze6vcAACAASURBVHbq3bnXmS2jqn5+aT7ukopD0mfcjkzX3LlF2lwt5wE713fu2KXXBhK3ZxLobnElt64YfJZhFbC6HXnYXsU20+TpnWtXfj3TbpTOMoxyWqOlkfZ25LULzIhZfHZ0OCbGh+XGI+2nR5gfb3ceJtfmjgn6cdXL34oxTa9J0AvYpOQGApADWq7F3KTs6HVPFr812B+3lIu3844x10+13OANAZ0xUr0nHKP3Hrds7zpiJ1459WPvi9G7jn0QncfeDhidnDvyvNx4xe/E8EfellN//OC/iO2pnAPcpw6/EycOvZVAF+vuE1DF6LD62J6YHwe8ANmVchTScC3ZjpxPpgfY86N7G+deQB/ZH3OjB5RDXxg/GPsHumSA/frCzQDcyG8A/Mr5a43jXsacnjXpN8A+oAOgA17L+DTwkP3nkeR281kkDHC3u1rG8+7VeIGtj//yl/j1h+9E7+kDYkBAKoAmyMW2mytOo2W8LTZOx11gWnVMzvMn+f36nQK4QEtMv+YwQMAG1O3xvHLwAHsp8AaI0THyVFqLcqCctkpvc4KNCnPolsvS2Q0KclbvB8MvKvcuVqfKLk02D8Aw27MQCNBy8el7ZxJOSxUAZj6HJdmOCNVQ6ThYnXhdW0fB6srLU1rrktqV24B9NrvlzPLIdNiclB1nVc/B/O0bUDB/LqfTMLgCdpdkn8utoOTIw9xjmj2naroZj5NmIWAeHbG6c+xOw9UASppjvDkEYB4KwAuzY8Jxz8Hn3AvYyfTcA3DYW8foYIzS8jo4oOcsCrTEcowPDsbo4KAkORJdByFASngNr6iimkzHdZ7YHWcOvh89x2DyD6LnyAdy4LuOvxM6jr4bXRyZcoPRS8or1ZbxOc9lxmHIid3fjJOHPS/egyfd406RzY7Zif0CuRl9b8yPtN2P728ALcCPp3E37go5TDwvDlYFFMfIhKOsdnR/zI8djIXJw3Ggv0u17L86fyNeuwjIXflWZ4GXuFxS/Wa8euGmFoDXzw8GB6xfjjysrWvF9hh4FNRUIwzsfSsoo0WqE+u/TvXc2Qvx91/sjZc/eicO7/ujWGdryyCHsXWdzF1xNqBvPwCpFgLOxfSbDxTPC8gy55D9D8XOVUhjpnaJLNfNbype973jeSsGhwppCq65Y05SX4CmGMfZgHXO2U1XwLd0h7Udqz9E4qeDz2dl3nEW+6fcR94D8JLwzIZjswEYvqriYHKum+Me+8XZkb+vDSOzUw6WX7QrL3ATy1M+yxQcTagxw1erq1x62H/Go6TpZXe+3Qwv004TZTP1NjsZc7MTscA5nwNywD071QK9wD5poJNy04iqiZGGwZ1jvxWTYy2Gn1BDjHvaAbsWALW/urd9fGgoRodvBmfJ9pTuyPcCu2LzfgpsMjZHtufYaYplWAi6j++W6QaTw97E6N1HP4juE+875XYsgX6U8th3xeYGuwENuwvkBfjMt1enWxl1vKNKugNvxY65cWrdLb0l3cf2xQIxez4TgxOvj6csT+nu+2L+/Xpf4B7fH7B4cz15KPb1d8p0A3SKuS8A9pajbpZG1rdkuhYBZH0dPyqJLcOOmnm59bS8Zueb4vGeATfAdF2Kn357OP5x50ex598+i/mJG/FoK8tYKWWFlQH5poFcUh5Q6tBC0AbyZHq+w3fraIF/VWBmwbBaeKiFQQtFpt94l/s6tCjw93D9kfmEAOTyyQAAdpidvHw2wug+y261CCgmd7ccsT1OvAy9apUlL0/lXZp3gL4WAM6K7zXVZkGAp7Ot/2KfQC2pfm9RTF2VdQ3YSbvdW1QloVpX2wddMIpKAHcLLEDnoMhG7/J5jZ+en1WlHIzumH1a46mqHl7m26wlOyyuI5tj6trMzhAL8useK63RVKM5R55Z8ponX6k379kuRqcRRn3ww7kQMPgiXfuM4eXIE6tjyhG7A3Lk+6AXAQF9wEZeGXOAejhBD/AprOH7nUe/kat+7sRH0Q3Yj34oZgfoYnTk+uEsqDn6voDezugGvavoypVvZ3bNiyf1xtx4SmYBekl0nUf3NDJcYCcGB9jIdKXV9jlfnouAFgMUQJsK0MIBm+czSff+c2LYX/USQw8I5BhslLfaSW9n+AT3ec6wsu+VfmNQhVJu/foukl1DJXuT1auijrZWdbZdU+Xb3+78OD7//IOY7L9kmby9Eo+3l31sPjTYZaYBUhgZNjcz+5r7ZR0F7PZzOfYAsd7nrGvAjTpoQN5K0RnMVggAViCvFFwqh1oMNjbydzKtJ+BnpR3yHxAXs7eMucyzK3Zvu2465lxiC9iR8TbtvFXUlXNdisFheQZUynnXkAuzelXTtcfpPOO+BlRg0Cn9JlAzh25ec+gK9MT1NYvORt1MLC4Qs3voZOO8qyPONfILcz5Lws9NpUuPhJ+IGQ2gNMhnsqcd5i75TupN6TdYfMz5dhXYTLAIsDWUn6vYhqq64eGQKYeEZ4Y8WzqnjBfAM04Xo+O6p/PeSPiU8rf6DXjy7HzWefQrpdT6Tn0UYvUEOqm21vFOdB57t+1oOfEFemJzKukAOeBX7F5ptzwDdEn3iseLxefGvzGjY9IV0MuQG9tv4BerA/ixAy0jbnyf7i3bD8RMsvue/j7VmxNDE1O38ue3ZLRZwg+k6TYkZhe7C+g3BW5Y32DP2nfAnED3cysEZDsNLrjtvzjZFf/wuz/F2zvfjsELZ8SKsPn29opZfdNmW8XaZnUbawXUdrktmb+xEgVsACxm36rFoSX3WQgaoKcBhyzn92TCJZAbds/WVS0IuTAA8goXCvB13w70ArikfPa7A3yYu0Bf5/ZnkvP5jppr7me/+/JiXOo5q5SXS2qpqDPYiel/LOMBNiDnzNbPVSKr9leGVDDuigEWtz3Jli44BlkK5BolTfxeY6laYAfUsDrmG+B3M4xjeLrhFMtjzGmDCMfwqokH0Mj2zKkXiDHsBHaGUMLg2fvOM/e++3MbdEMxOTLSxPLjxPKjQzE2PGSXvuR7puSKxXHe5b6rmi4LaQb6W8ze3x/dx78R0HtPfCCgA3ZidUl3WD2v1fBy7G2Bv8AN+OsagJ89+mOgM57KOXYAXtcNo98GpDjtI7ttwonF98fM2DcqqJmfOCiQw9hieTnqXKds5zkm3PgBy/6xA7Ewejj43pdXuzXHrWJrDDMbcjD5QMbkA/Grvn6ZdQAfoCtWB+DE41lQo2ti8CyOMcivxmsXyJnbsCP19suO8/GTv3wV//rhW9F3er9aPB8BSOLqrRUf26vxePtBPALwycAw6+P1BDsmWTFzxuwl7QE7v7e5aUkt1m4z9QCsvov0x3hrc/LJ0xf7K2cPmyskMNsrTk+Q1+8K4BsPG7nP98u1l3xP4w7ZXvl2AZkhlEh5jblqsXqBvDkrbq8Ourtx/WKvSk8x8wxuG3fU03PQ465Zdaqa88gqwA7IKw1XwAbkVNbxHdJygFznlPLaLII58ovk3w10GH4ht3+ShF+YydHStLeSc3f+HWafwZCbGtcWzQAdGV+GHFNlxd7jpNxGNL0GZx6Qw/oYdrw7NTquZ1oUJtgLDhk/EhPDowK4HPrhYbE6Rh1sP8r02eEhFdII6IAbVqcbLotrFLOXE9/Pfu4DcfbIl0qp9Z3cGYBdhtzx9w304x/JXacOnvi9GB6Acw1rK6d+9E0BHkeeklnl0DNWL3B3HGqBfsfCxIFYmKhYe28sTOyL25OW6xh0sDqsDbh5l7PATGzP4jCR4B51bC7gF7OPH1C8/uX1HgOdfDZpsfMucql21F9dcEpM6TdSbhdZACiR7ZeZ1gCd/vSMw3nXDjtxv1lfGzT2Xdc2zD/9cn+8+N47ceLA13KGAff21ppjaoC+vRpPtu+L3Z9uGvjEyE83zc5m4xYgBcSMy/nu401+C7CvCaQCrGJ9wJpM3JabB+gGt8GMFG/i7lXH5cXSvFeHgZ519xk+8O9sFd/Y6FNajkYZJHxOvAHEYnLaZulvb/LvNusUzyumzzLcrI7je0xSoWFkffmuZ83fZUY9k2pdbovUZyClB1wwXgqZPqP6eKXf7gBmA5oFAWCvLRHPsygY9CwAMulgc9JulMbmGQkv0GuDiJwZP4+sn45iekpn52ZJx00I5LNTk6qcm1M766jAD1O3g3p6woCeHWPEtEE+PTYmUAvsYzTGeOT05MiYAA34BXpy68h4JPyIgQ7Y26vmKKQZpkJONfOunqMGvgAvM+7oV9F15KMgRu859rHAjhnXc/KD6DnxkRhdDH/0h0AvJq+uNu7F8Icz5XbonThz+L2Gxcmj13TZhtEB++1Jm2jE3gCeuF1gVqrNpbGAXawOwJH3BXa+O35Qi4Hk/BjvHYy56cPxxbUeSXdAytx2MTuptgs3xOKwshzy8zB5pd/6zfDE9Mq/E5en497joZEsBrC+8vGUvKqy7mL89JvD8Yt3P4i9X/0+7s4NSWoj2QH7o+31eLy9LjZ+urEqYCte31puJDmsD9B5H+A3SqAtnkeaP9kiB+9CFzrbFLenavBC0UrFAWze8SSauzbeNqwG9G5W1zmW9/fIvze/gzIg568mGufuSbetr3sRYJFoJHzF5Kqvb42zAuzk0qm9L5CvrZCucz6eRaFy7ZSCMqhhY/muZTvpOqbVqDEGN95tr5hxAjKTaDXpBnce88618cXiyH2YnBLaAvry3dsCOmAH4MTsgB3QUyuPXOe4k9f0sgN0MXydpydjhtw6Lrzy7pMCOOk4JtYA7NmJiZhkrDTsnQ490l6ARsYnkCfHRs3+xOqS7Y7T+Xw6ZfzUMCD3oUKbEefTYWpAr4q5/ltBxRyghulhd9Jt1L0Tz3cd+7ph9HMnPwyO3lMfRs+JnZbtgD5Tb8XkMuoqpy6Av638+pkjb8bZ465576Tt9ajjdVgd9ieXzrGjidEn7LbfpnAmc+jzk/saMBegy5gzkwNuM/sM3+F9WJwcOhJ+/ICk+5+R7t0eFQULw8AcAFTA1oQZA99FMn5OOo7FoGQ8QEaev3zO/ehaODDtkPc9HmLxT4dOxd+//2F88edPY3b0Zjx91ALqk7x+8mhNoEZ+w85aBFLCS5JvPIjHa8vxZOO+y2GR+9surKnPYXIdFNik4aYFgqKbTcfuPAeAjYxXHO78unLnYui2slmMuHWPq2pJ9ofqi6+6e2UCssMOya7cetvwC54ViC3jDXQZbrjta8vKu9e8OhmCKAGMvft3BVpGVgMIij82V5Zj/Z43mlhtk/Gk4+y+O78O2AXuGj+dYH9wxz3w7Uxe4OdZGXI/jtdhc/Lvt5lcA9Pnls0Ffhhf8fu0GX6eGB5nfnbSEp1tm0m3TUwETM95huKayTHH5mM+w/bth8BO1xsjo4eHY4zdW0fHYmJ8tCmwaYA+PGRwqykGuT4YY/03Y7x/yO68+t4HBPoqi+XzrmPfymk/f3qnY/QTjs9h84rTYfdOufBmdSS68+zvReext37oxFMxxxiqI2/alCOtduS9OH2E9BrO+zu47o7JATeGHEBfGDPAATWANoANaLG0qunyswnADqAt4fluAX1h8lBw/Olqj2vdFWvD2AydGEigk1Kz0ebY/IZYmncEdC0Gg/HKBd5xHO4uNZfAYvCRtgPovzzVE3//8Sfx6R92xuTABcXfsC7M/GwLsD4IQP7oEbLd4NXn26vxbAt2X1G8XrXuAF3HFouBF4xi7YrRAXfJ+gJ6KQLYmKOq4fiuQE/s3xb/81zv8Xl6AWL/CgGQ/cT4G84KVGNNNdqo0EZFNlkjn3XwGoTRNpeu4vGm6UYluPdj60FO0llhfBUFNEuSzZRswv5rGHFZgKOzdoOlPNZsrjNjrRS7F/BzKCVdbzm3rpi8FgWALvmexhz3FacX8MXwC7N249OR55nZfUpbQQnkAvqUcuverplaeOJ2AF6HgV7xPIsZIIf1dYyNxeSEnwF0HHY78eTj7dIDcn0Gq6eMR84r5Ua5bD8x+2CMDwyKyWHzqpajiw1G7z72tUpeBXQMuTTlADqsLgl/8gMBG+Ab5Aa8mJ1GmIzZVTWXDO/Y3YtAMTmbQ3CkdDeLKz4fh9n3CdwCuYC8z1J+Yr/Pk63PF6b2J8hrIUjnPdl8fvJo/PlabzP8EUYmpSagI9MpiRXDA/xBs3dK+UqvEaOLzSm4UYUcOXOn0FgMftU3qKKYn/3xi3j3k/dj6FqfgASYC+iOyR8Y0I8eCvAFcqS82B2GzxhdgIbZkfubLnXVO4rP/V6BXb9Tsj7jdIEfoMuMa5l9Anvl4vPzAnotDM1307Qz+F2au7WOgsgce3XT0RabJbR23gGu22IBu3LqWUVHJR3PADBS3+eacGtWp9MOic70Un4HcCPpy4jjHpkOwNXmyiLQ9gwgczy40zLtkO16rpz8D4058ul8zsE10t2AZ6R0y6BT6g0ZD5svTPvAlU+Qs/8b8bpr4F1NJ6nOvDnYPQ27Oa4nkfWj2gKq5P3sxFTMjGPkGdhUzpF+Q7rj0ovlKaqhvXWYEtpbLp7BiRe71xCLQeXYKY810N3iSqw+PtAfXUe/it7jO+P8qY8l20mzEa8r1ZYO/A9c+Ey7dZ+wIVdgx5wD8HbnW248gO84+o5MugK8zDhMN9gcoJfhZpPO936+R+DHqOMz4vnbk/tjYfpAzE+VhLdcV8FMAn1h6kj84eq5eJFNFBtnnOo3u+rkxV/uI2630668ecnxbHQhhndFHAsEasDsrrienvbeq/GzL3fHm7s+iqsXOmyOPdoQmJ9urwnsTx+Z1WF0nnHIVJN0bwFX4G0KYZxjF8BzEYDZ617XfJ8FocIAvpvptgJunWvxALgCNyFBLhAl93m3kfq5aOD0Y+bVYUavoRcYd66Tt/tOxZzjbjF6ATyB74XAn6uEtu05kp3v1OLADHLkPMAmludAvquKLt33Aj9nF9fkDrBie3LyjueJ23W9xJjqxVjWVlPI/dtKu8H2AB0Db4lCmqykE+AXW6k32NxxO8bdXNxOs06x+xxA986t5NRbRTSAnuetAzBz4MoD9LnJSRt6SHyYPqvoAHcDcuR81sZPDVNRh7wfVcw+OjIUo4OumCPH3hTStOXW1dQyOBidR76Mcyc+Dlz3c6cNcu4BulNtBr0aXY6/F+0AVyUdFXQ6DHyBnXr4o295wCQTaar7LfvZdzitZpDfmbQEVzkskp0UWZpykvZTZnQ902cH4jZA5922A6AvjB9SfD4/eTg+v9anaS+YZwBWaTBaUOs4N5QsT4EMM+OutVJrlMPiwvfhrOecOaR/302ZdXTE/eNX++I3u3ZGX88p1Yo/fbwej7dsuAFsGLcB/MbD/wB0xexKta0GBp1k+oaNrwKnXHbF5Q9je9uxfYG0gM/f8XddbdeU2f6YuRPA/HZj9iHxN++7IWYrm2kadUBacFVmXAvsCfA1D6oE7OrES6YuRq+zYnmB2rXyAjlltG0LgUpncw85vsekU/LnPBerJ+C5xo33M4BPDf2dYNa8+9pzF1hq42XQecMJFEBL7t8J4ncOSmaR7QCdmF0FNblHu1tcZ9X9Jjmf8n5x3k49AHfcntV0YuucE8+8eFx5auMnfebarD9uQLN/+7hbYafZ/DE3kUDSC9TF5jB5gr7q5GXYjY06BYcph3RPlq86eZlyOZMO6Q7Ldx9LoJ/6SGDvPdk6F7PT8FKsjpQH7L5/V9cGP7XxSPp3xOpi8mPvNGWzkvK0tx55L3YsItOJz5VWA8iA+4Bi9TLg7Mi7THZR8r0Y3S477wN0n/3MJt2BmJk8FJ9e6pUZh/nGpBfYWxL+AuDlHklOxZzr2qs8tsmj46xfcu264vTz1xSX/+rizfj5wZPxi/c/iJ6Oo2rsePZk00z+eL0Bt4AO+DcfKjbHoHv6eNMpNsCJg75tWS+DbdNmnZ7D0Jv3cwFYayT/ky0UgR18AZ10XQIduc53xeSANYGuhSEVgd6RQ++wwIuCAU3ajntJ+E3+fa7So2mGf18xvDrtUsajAlRK25TGOs+uwZbZXmtQm82djkszb/2But4w3hh6AaPzPVpV2SJZ7bL37wWbRwLcAnjrfDceUF+/zPAKj6uC3Qv0vMdzNdAwzEJbQbeq7VRMk8MsYHSxu+7nxex3skaerjc585mCY8+3xpyjuKb2YZ+dFIgF6gR2lcpqJ9cZN8wg323Wjcf81FTMp2GnuH3Mjn2L2duAD+AB+OiI0mwAHuOOBaCaYMaHRoKedjnuKpPt15gpA/3f4typj+P8mY917ju10+eTO1USC7sD6jorhj/1oQBt0MPo74jVG4OOUtkTH0THUQObPLx2a9X5vdhxe9TyHGY3e+9vQA5YDXJi+N2W6pL39e5eSfgy6yTnNWxiXyyyYEweiJmJo/HJpUvBvuNuQU2gU6LaN+QyWEw6pdsw5hyzUyKraxpTaIK5SDHNoAw6Sfa+a/HSyXPxz7s+i8NHd8fq3fl4/nhDRhum2+OtZYH3+fZDOe+w9rMnG8E9xhwMDzPjxBcjc36m/Lhjc+XXt2HnNnmeUpv3YPkCOcxcv1OsXoxd5lzdP37s70kZMPACoxBGB8TrD+LJerbJ5t+FxflbnAv0SrNpAXiosdO45xh8TK0Vu1fMroWARpiM45VOM5jF9lmpJ0Mvt51aTelPHAr7WcovxcYyk2qR7zTIeE/41RX2d7crv3IPlr8TK3mwKHDcp2GGa753F9Aj84nf7dTD5FUWK2ZPkFeOHQd+aXFGmzsCdKS9QI45VzE7BTaUyqZkF5PnRhG0t2q09KTZnGul31gEZqYF8rnpmZiZnLIzP5Wm3OR4TI5PBFVxAH58bESxuWJ2wA7AR0c8ZHLkVkwOJdBHhtXZVhNqqmqOrZfLjAPExOjnT30S55LRAT/SvQtJrxw7KbeP5L6rsEbM/n70nHxPz2F1nHmk+5lj78eZYx/orPx61sgTv4vRASdMPDdZMn1/YLABUn2Gc54xuZh/nNjcx+LUwbg9cSgW6VKbOCBwE7cvTvF7FN7sj9mpo7Hr/HnthuJmE0t3GJxCGWJ1mXF9t+K1XvenF8PzDkYcgFcqLotk+PyFUxfiZ7/7Ivbu+0ZbCH//aFM5ctzzZ09w1x/Gd4/WxcDPHlu6A24B/cmGPvtue8PArrh72847gKUs1k78Qxly7bE91zj3xehi8ke5GGyt6LuAWqzezuik6Laztp4zjL6dLI6rv9EqxGFx8QJTNff8Xovx+UyDKXHpN1e9ocTqqot1cm4dQFauversc+Alwy+reKdRAWsea739wBtWsDBQJw5D8RtKs6lZxuZeA35i9vt348EyffB34+E9gO9uuDLwYPJlMfo9gR3A+yh2dyENZt09Mbrd91oAALd2cOWcB7G78+8zcuBJtcl9z1nxTYks9fDzMDipt6qTd5ENLA/Dq0ZezTJ256cnMh03OhoU01AVB6jlvFNRNzrsSrrRVtUciyKMrmYXymKHaHBxHp0zz8mx8/9n54l/E5AvdBjoF07vEtgBPAsAZwAP8GF7ZstJ0jOogqIaAH/qPTfEAHRMOY4TgP19tbjKrT/+odNwSHfAiMFmSW5wAvKS4jCzgQ2A92kBgPl5vxYJ/4ZBb2Vg0N+ZPhxzM0fiw4sX44Uub5/0ynlicDezAOTWUe47RTGYbplrpzqOARSk2ehlz51W/+FPX8Wfv/0mlhfG4/nzLcnwisOfPbJsf44R92hNTC+QP94IPmMB0GdbltuYcsXIitHlsvOZ5TlnDoAv9z6/B8A5eAaokdoCfVvsLcBnag5mZxERwJH3ucDUomB3v3L7D10gA4irAo9rtbpSZVepuLym041cOEyu3D6m3krblNoVKYVHD232AWQtBDA647My1qf8lpgccCNtqdvmGgbfXLHRp1g+3XzkOp1xDLsA7MTuMDisD+A5qykG+c5+cfdYBPwZ17x7FxNO1XPE6uznboYH4MTlBvSsOt8w6cTqC8TtPnDbqZJzIc2UZsBX80tV0QFyvYOZNz1p80397BNuiKkU3PRkTI2TYmsdOPEYds6lj8QsOfjRUR0U3ShWZ1EcorfdBTSAexjAk2rDnMttoHDnu45/qdj8wtmdAcjF7Kc/FphVFiuG3xW9x3dZvp/4SO48hTUG+ns6dwF4ut9OELe7Rh7JTtxerH7m+LvRcawBusGOsdaw+ZRZukBsVs/3YG0YfOpgYOAV4+t+6ohYvlh/ZvpofHChL37ZzV7nrQGPjcuesXkZc69edA+6Pj9vN16LAebbhVsqe/3pV/tj5xf/pgEJ3ykmN4CJvQEyDF5g1z3A59mTjXj2bDMw6+rzJgUn6U0RjMtjDWgDvAD9dHu9zdj7oXtfcr1i7wa8CXJ+TwvCf4jRzfxaAMTYLAb8O8zeZb6pKq4MuQbwbqKB3Z13d13947VKwTkNB+CLuesaqe/uOX/Gc8IBLQCZgkMKj/ff0GBLyXxtNEl4QIqOGXYthx43Hpa3K19xPICmDLfMu2L/VjoOoDM/vpVjd0ss4C7A15lnHNqPnT3ZF+eaSroCOWcOpDn//kq9mc29GGhCDQqAVNz0RMzSFEN8z/WUQe1aeW/4COjF7MyLz0aY6ZFxAV3GXDW/aLy0+9nV/EK1XM6ag8npS8es6zr+b5LsFzs+iQunPxXQ+wD8aUt2mFwy/iTg9wKg8+mPnHM/RSUdEt7s3nsigU/lHFNojnoaDaA/c/z9BPq42bli6gL7bWS5ZHieG2ZP2S6gG+yAenHysBiesxaBitGnTsS75wB6dp1lHr1YHYY3Y9uIq/SaWlgZKpGpNhge8+1n+4/Hm3/+kwb2ff90K54pjbaR4DXgeQaQFZcnuxfQATlHSXGYGgBXLl0MnfE2rM+BGmiX6fXd5jNi7lQFBXCkP9flqmshqKKbLcfl9ayJ7fUdy/fG5U9jTgUzmWYD2I7X07BLlifHvp2HTMXVlSjQowAK2BXfA26YHMbWs7YKO0AMvKvc4AAAIABJREFUmzJVBQADdApruG4/FKtrRJXTbzC7ge1hlQB/dXnZgMe9z3y83PdlJP1tsfkK6Th622F2JHyyfIGbs/LtMHpb6g1Wx5CD1QvkDZtne2v7c9XGa1wV8flkxucF9Kykw5ST+567u8LgFMwg5QE6cp6KutHRVpyehhw18BpQQcOLymI9d06961TK3RqOzhNfxvnTH8fFM7sS6J/E+Y4E/Mmd0XP6o+g+tTPKjVccD/hhdvLtAvoP2V1S/cSHMuTsxGdF3fEPJed3IMEtw22sEV8DdgGeOF2AP2j2nj7cAnQCvyXtke7+/E6eF6ePxMzUiXjr3OV4saa+aDcWF8zYcXf+HMON7jUADfgt6d25RkHMry8Oxs8Pd8Rvfv+HuHHtQnz/+GE8f7wpoANq5LgY+4lBDzjbmVvAf2JmB/TE8AXYkuYFdrP5qkDO9+q+mJ2zfj//Br+DMihWbwd7hQRqhc1S2noPN553fwh0G282+uywA+w6ynUX2Nueb6jQpwV0gA2IOcziPsvRT2nfDvgfAx1gEzNPDPaLpQ30ZcXqlu50ydmc073YncIbS/8Cu004Ax0DjnieZwAdkCPrBe68X77bisNx4yXf21JupNtYBAA7Qyyog1f1nCbTmM0bYFMSm62utRAAbpib+Bxmh9XLkV+YtKQnFeeGF+faG3CrbNbs3uqKS0NujHx6dbwNC9CK19um0MiBHxoQ0GHyS2c+jYsdn0m+S8JTEtuxS0cZc30ndwVsf+70+xm/26ArRtc5O9+6TmLOfahYHUmvdlfGSB/5IHY4rbZXgCamFjsL7I7X61lJeKR6MT1SXYZcMrrYHEafOhhL00djceZYTE2djjd6L8cvmeuWGyPWwAnOLzNIoibLXLzl3PoFD5tQHXzfjfjVhYF4+cyFeOH3f4lz58+KJZ8/tfwGiBzfE38/aZPlydwGZEuqN+BvWN3xPKzOwW81IN5es6G3ZdADaIE+S2kF8IzRLb0TtG1FOFIIVU3XloLjd9Qiq/i7VV7LwrC9UQojlYQyAU6zleteDnz7PWBtwCswm6kbcPO3NLnGcr3F5kh9vvuwceepiYe5qdEmlpaBxxRaat8TzADcoLec17BKCmsyDqfARsDOohsDHFlP+aydd6fazOaW8O50K/e9WFwsj3RX59ttLwBZQYfyYNCkNnBkjDTsjguf9e8C/kyadnOzYnLLd4PewPdoacn5yUn5E6qSw6mfmAhy7TA5z0itIeGda88YPYEusDOwAoAPZ7182zQaZsR3n/jSAE+gW8I7VpdB12FwE7vD7oBe5zZGp9AG6S7ZnkCXA3/Ckl5AP/6ed2w9+kHswGCDxc3sFXcfjDvj+2MpY3AxPhIfM25qr97XZ9OHA/a+M34g7kwa3FoYZo7E7akjsTB9OCamTsa/9l6MF6tFlaaUvkGl1QC6JsZk/ryMOZlxTIrNhpaXOy/Fi1/vjaMdx8WAz59uho401549wXDbiqdPNmW8cS/gI+Fh+ARsLQqcS3YXqOuzkvZ137B+W+GNGDhBWybdE0KIMutI2bXF5PWcclqeN5JdXXT2BZSCg6E3bAKKubNxRjK+aYt13TtAJw0noPO9NOFKunurqHTqNcLa02mV01f6rr0gyJ8h4ZH/Mvoyrmf8EezrbaruN8AuNqdcdp0jd4FlIUCqA+aqtLMpZxNOIL9bQHfaTYMsMk6Xq75EVxvbNNuUK6fdIG89A+AcpN/u3DbAy5QTuAvwuXPrwvS0y2dzmEU1wehdue+MqXJxDdIdM5L7GjkNs5cxZ7POMt4SnlbXMbE60h2DTrPlKI3NHnXF6EMj0Xvqy7hwdldcAOhn6/g8znfsah2nPlHsXsAH2Mh5g/5jyXrVxitOfy8606iD0Wl55Qyjk3LrPP6hXfc70wxxTMk+XoYbbA2AD8SdqX06637aLL44fSgWZzDj8gD0ecxPHQpk+/zM0ZiY6oh/OXdJlXHeL+1qvMxOLAL5rXj5/GC8ctHue+2iCuCR8ZLyvTfi5198E18dO6Y+6++fZWnr4/V4/nRLgBVoZbZtxtOnzpcDdsAKkAXsx7D9quR+Ac8svhbktVkQdH6E9E8GJ1WHTOdv1e+opNbMDmi/yzQb77kFlrBgQ4AmdcbfZzEAkAoNqJ3PVByA59+ifw9pOd57tBrbWxuxXek7fitz9vx+MXaxd7G1YvhseuEZqbrGfWdBWAX0ju1LfXiRcJ3A4zVy+A+dh08Hnr87fOOGTDEx/sMVlcHC6Abycjjnfj/WiPMf2slHtgPyku800+DOc9847tTDi9VdYMNiQKiAKYfz7mo5N8QwtAJnnhgehi+2J24voDND3sxuMFejS0l2yl8X5nIqTUp65dOR8LNs6ZxjqaZmmiIawAzYkfIc1MJTYDM1PqHSWbe10tqaLK90mwtrVEBDXj0n0ZBaYyAFgyn6Tn8Vl858LpBf6vw8+s6mjD9jQ06AP/Ox4va+s7uir+PD6Dn9sSR8gV2MfmKnwC9wH0eyOw2nefHH7cI3QG/APJnGWhOTHwgWAAEdsHMI5AdiaeqQ2J7z3amDcRfQw/56/2DcnTqq6a9I+bGpk/HG+SvxsnLgN9WXTpupgU67qQdCvnJ+WA0uamw5dzN+ff5W/PrCjfjZN4fis917Y2lxKv7v80fx5MkPY3EA+vyp4/XnxeS463q+GbjyXOsohke2kzKDpUm/VRouz03+PQ09Mfhjv+vfsfsOQKmwU2fcY5t2/B6SHODzuyweAjOMn5JfzwHvFhK95L4r92Byx/VrWji4B3AMzRC4GXSRZhypQJgdQCsWB+Cba/FkfVVsD3j5LjE6v2N5jmyn2s+LDwpCgM/FQAvJ+pry8nyXJow705My9WBvmH3jgVNyyPbtB4D7fmzcpwvOMTxFNK6Ld438ugppAPpdzaaDwTHlOEi5WcbTCeduOM4U0wBoAK9937K4hrie+wK/U201Jz43iJh33zrlsTC8tmqecZ17sbjz7Ej3KcXs1MVTPKNCGjXGuGaenna2gWqGTo7X4IrJRs6rSm4cwLeq5dTiSncbk2MHBz14Qju5DETf6S/jUtcuAR1Qw+p9nbsE+Iudn5jpid1h/dOft9JvGHJI+ZTzmHXdpz6O7tMfRtepj7QhBCk3OuBgcc2E1wLwkWN0JDlxN0B1Woyc+cG4PUW8DbAPWsZPH4ylGd8b9AfF6ren9ynG5zs6Jg/HnZnDYvXRqdNidLYvZndTSmBVEZfDJGDvSrW9fn5IxTG/uTAYzIB/Yf/JePvLr2N6djy+f7qttBmgBrwcYlrF5huS7JhzT586VmdBkAxPJv4uY3oWAxiXz4rxS77X+zpXDJ+ltDwz46ebX4bc41U9h93F5OnAA3iBNhcVQPNka11g57fE4pvOzZMWZOGR+59pPt7n+3Vwr0OxNG6702+NSacqOUt1gPtkrWL6B7G9tiZJLlkvmZ+yf309nm4AeGT8w3i0vq5FYGt9Td/h782OMkp5VGW8AvTqSsp0imhWNLkGgCPlWQA4V+yuMVS5aQRsrsEWGa/LmMviGuXXc6JsdbzRPVdOPExPjC5XPifUVHtrw+o0wlA1l/l1Vcxl1Zzk/KR3b5U0ZyiFTLgJ97QTy1ehzRTAzyaXcXe5+Tt+BsOrpZWGGA2qyDQbMfoYu8I4x04arWbD164vMDqFNAD9cudnLdne+XGQU794ZmdLund8KpD3nUbCf6JyWZlyZz6Nc6d2WbozWw6g69gp+a6x0adcSguzd6qy7iNidMfXyHOBXczdkuENeJHp0656k0QnNpdstxKwrLcRdwdGx6GfPhQA/Te9l7WVMbPcXuq9ES/2uhqu2Bywq879/ED85vxQ/MvF4XjpRFe8/pe/xK2hm/H9823F4HLZicOfmqUBjJj78Ybic8y4Ym99lk48pbEcgB0w+vt25UvaF/ieSOL7d/UsWb/YXyyOcVcLRS4I/F2eGfBp2uWAC9hdCmLbpbe+97+F3yupzTt81oBajTkGuwCdsXYDbtW9O42n38gQwb/n/nVATCwPy6MEnm5sCNg8f7zhsIBrvuNwwM79o/VNvXd3blplnywCSHYYnX3hBXql3JbVYwCDt6fdFLOzY4yGVVi6awwVRTSVZrtP/btLaJVuo+2VSbNLTLMxw3MPszOLzsMn23Luku7s69YWq8uJZ1jFjAy5pttNc+bobvNurMTdyrO3peAWp6djVhtGYL5NicVhcmS/pP+k59IxvAKwE68D7BnSbGOuolNJLKm26ldP6Q7AidUpiz3X8WXA3BWfK1bP+yZu7/isceSpiXcVneU7cXodlMv2nN4laQ+ru2S22H1nC+gVf8PayPAm5m5i72RpsTWgPqAUGybc0uSRJi5nQWABQM5zJkbnPDTREb/uuhS/7Lmi4RMv9lxXqs1lrkyZaW3SQBoNNn/l1IV49Yt/i0tX+uLfn27Ed88A+mY8g9WTzQHWD2R5yfM22S7Qt6XdZLC1v0cMn4DVZynVkeM8V3wt9q973t+0ubdtr6AWAN6XbE+J7+c25STdAXsuGtTJA2oArTN5fNheFXhI+GTvOgP4vG5AXKDO3xHzC7AGLcC2POe+SmsxAs3gfM7fqfsy8WBzcu++f6DuNdJChAYUyki6a58497xTFeeZ8Vk/n4UzAB1mr6o5QM6GEFTOEY+3jraOtzbpDovryOEWTLMpya4YPXvXidkrTneM7nSbetfbRkdjuAFs7/Ti1JpcecZVaZsngO9NIQD1fMXn2t/NxTTuczfYYXa58vSvpyOPK9/k1nHeNUyS2XJmcgN9IHpOfymQX+7+LIjRC/DtZ9JvSrl17DLIT9O/boNOfeyndqm6jpgdoPv8ccp3AxxGZyGA1XdU7F0Ou4CKgz7RkusF4gbkU0fiDofMt5Y5p0Uin/HZ3dkjMThxOl7tvhgv9VzN/crpLXcnmstczebsmfZrZHznpXjpi2+jo/uM6tIpivnu2VbD4sXmgBgzTmAWeGH6rUCaK/VWgE82l0vfpgQq1i9Gb5fxtUDwjhg+5T+ApRhHJt7jTX3G5wVgn1kAzO51L5ZP060BfQFdxp3Tac8T7M6ttxYDTDx+k4UAoDettA3IHzqGJ2avopkN2nTX5OKbsWH2llpwbO5FoBQC4N5cs4x37h3z7a72BceRV2OMpDtDK7L+/UcFNGZ1V8mpGy7LY23EZcVcW9FM1b3D6Mh50m1idwG9NayC1FuZdepuu+PtmzVpliq5BXe2qQEmR0crv17Ou+R5snh7br0KbWZmGjlf7M0urorh2/rYkfEaYlFFNZlyA+CugSdOH3MhTYJdAySHbsXIrSFtzthz+uu43PnHAOiXz/5OMl459e7fCfSAHwYn7dbuxFeuXSWzmYIrZsesA+wC/HGAD+i599lAn8w4fHp/I8dJrwFcgXzygA23zJHLdEunfmnm0A9AD8C1WMwcjXuzx6N//HS81HUxXuq+qnFP7IcGm7On2mvnh1Qcg2yHzV8/dy1e+Gpf7D99QrPTAHnJ7gL8d08MeqXSEriwPIzfDnwALBVAMU0j91Ouw76Yem3SXgyeuXf+ZoEXYAM0GmC0KCg8qBCBc7J9MjqAFDDF+AYn93LYMw+vzrdMvzXvA9oEtLvaDHTAynMkvVz9ZOGGjQF/HZh2GHWZPoPRuZcs1/mHwP6xZN9aXXU8Tw6+jgf31ZxBCg0Tj+44QL62akNOcn7FRTIU1WheXTO+ikGUTsmpRZU4neGSuO9y4O20A2yeG+xpyDWDJmF2HHeAjmzPjjeeMSs+y2Jh8yZez6mySrvJmJsMVc/B1HNZ845Rp2IbhlBOx+KUG1/IqVdeXcw+nc+buN4mHb3rku4TE8qvi8m1AUTLlKObjcEUHjV1S6YcO7Z2d3wZV7v+FFe6PmtAfqWr5cJL1p/Z5cq5M5/JnGuc+NM7xeTUxDdHpt26T++UKQfYxeTHP9B9w+hi86l9sTRxIJYm9zXmW7F8Oe93keRU0lFQQwdbOvRi9mT4pRkDHVl/b/qYgP4asr3nWryW2ydpfPO51uDH6kx7YffR+OLIvmCzv3//zmyt2DqBWszO2cd2PH22Hc9g9qfbdsABXha/8F0tAmJ+LwaS6m3ynXd4BuML7DLz2hj5yXrAtEh2FhmbfeniA/pnBrsYl1ZYMT6VcmZ+DDiA63bYdPiza440HuD1d1uLgpibNNsjszIqALArvgbom2uNiWbnvsXeyoMD0k3LfZlsJd3X1yXjy8hTO6zifufU5eZT844yyAIaznRvwbZieebL0RAj4w233exd8TmLQMn2OqtM9oG72rhuyXa3rgJwntUZ0MPemjWXZbIG+6J3gqk0XJtBB8g5qJZTZ9v8jCbJcn93zsUylWNfnJ8TuAG6PpvxDDoKbm7PzDQVcy2gT8TtSefTiePlzDN0Uv3rE2nKlTlHdZxLZlU8M8ZACg6q5WD1wTh36t/iSvfv40onx+dxtet3kvBl0F3Cee/42ADv3KnzuTNmd9XEq6vtI9fId1jSI/Urx97V8XEDcFJuCfSD6j8vUGOgFZPTgspzF9U41ab3YO2ZVkoNcFvGHw6MODH61NG4N3U4boyfile6LmnrJIZGMBFGraf0mZ/LKTG9/fGLgyfig91fxeKdmfjuyXY8e2Rn/a9tIBczPzd4DXrY3YclvMEM2MzmLpEF+OTfYfB2CQ/IOSiuaQd5OfawOiyuz2BofAItEn7mv5Euf1Nzj5Tn97xwAHgztd1+mPj51oZaX8upl/zPDrlidTF2srdYn1TcIxtpLB5NzE7svrWZTG6pTipOTTAbdtX5LaXNMr8ud10pOZfbwuxaEGD0LL4h7w7ImT6LsYQZJqXwkK2e3cVmBvdsOq7LoPP1cqxlJxwMzhx4wGz33aOjAbbj8Dva6QXW1702d7ztPvacKstGjs6x24xT6i03kqiGmAK7x0/NudttzmC+K2afisV5cuaTqqITo8+5MQbTUZV1Kesprqmedht3ky6cmaY7zjXxnGfGJ83o4xPZxuqJsVTFqatNPetDMTJsRmeqbO+ZL+NqT4K8+3dxuev3cbnrd3G+8zOdL3RlEQ2Az8Ka5nzmUwP/1K4Q+GH4U4D+E8n2Xhph2lx4Fc6c3EmMngCeSCOOOnWl0w6FAWyTDUceljbwD0qui+EnAf1hlbw6Ls/7mUNi9OsjpxR3M5oZaa4xUbnrChsuAHoaVd748mttbPd/vt+OZ88fqfVUQHy6FSXbYU+uceEB3PfPHzfALdluZnaRSzE1i4Kr5gz8lpQ3+AGlAZyOvEw6m24CO6BtY3oBHxUgMLsrjmcVkwPMkvQ22JyDL0e+YfEmvvciIkBjzGnR8MLAMxYLzqTCWAgAbqXiYF9+F2aXTE8ZL1AC4Ky203cylQawidfbHXjuebeMOBfbuMhmfmJE0pcQoMw4yXy1vOaCkJNt2sGOEadUW8bxDciR7Ww0gSPPJhN3570ApKxXCW3KfAFf8ToNL/NidICt59ruybPmkOmqfV80wO8vzGlEtBh+3mk3wKzBkrSq5sx4zsyQ5zNiegw7Vcph3jGGaorJNR5YQXzONTG6JstOzRroEy6YAfRI+OkxszyDKjDoJoecT3el3GD0dX4dV3v+GNe6/yhmv9r9OzG7Gf73IRmPC18HsTqg7/JUGjXDwPjqZ7cTD9O7Tv6T6IHRMeJO7NJhRs9GFUAKAyPJxegTFMjA1C6EUfoMk64KY7JCrthci8MMi4MXCEn3uaNxZeSsdk7RcMfzVyXhyZszspktj39xvDNe+9MXcf3apfj++WY8f/JYEhnAAsgCucBJiiwZXik3QP9sI/6KfK8CGZi7GlsA8DPH7jj3MHf9DouImPupwQ1Q63vky3WfdfQFbD1jiEW+qyxAxvk8awe6GH1rS6CVyYY6eLye1XOts4CcaqD9+ingRv4/2myFAQoLHEZYymd8nnK+UQHcw96AXtdtTTE5rUbvsoGFwO9UHCDneYFdhTYbq0GzB//xKyxgaMVDAO+tnRWz86ytkMbjox23k1cXo6cLD/Crgw0Xnn3XxfS5MYTkOwpA9fIeN2Www+TzCuukBLLTjQ0hynUH7Gp4yXgdkAvobMuccTvAVqMLPezzM7qWQ19MnmfceTv1NL44LmdUFWBn2ydVzI0zb84jqCTj6XgbI2afkHzX7i45bmp8ZFSAnxkdjfNd38S17t9Lsl/t/lwsjjGH636l+w9xqdMsX468zLmzjtkrfpe072iBHKDjvpNjb9Jt6boTr+8oIAvAmHLJ7DqzCGTaDJedCrh2oMuIy3eK/XHaeY/z/bljcWX0VLzafTld9ysy5V7q8RbHv+zoixf//GX0XOg1oGFyAdysXaC2TDfwuQbknAEvZ8Ds622zvAC9Jaktaf/skRj9+6eP9J7jdhaATJcVcP9Dyg4FsK7vPmFBIGx4jHew6WdSAgawQC7mNduWT8BZqkBVd8TtyPa2uLwYG1CL4TO2l1rYNNDzHUD/9NG23PcaZSUg/xjo5MQz1aZzxvQCcaXs+A4LAayfKqDAX1Ie1uaa9BNbGHFdzjvA5thacemryl/V5pplsDLmXCHXqpJzE0zF6BTQsFsrsh5gk3orgNc7DaMn8AXytr3fFMczWionztC2KmNufsblsuTVkecL85brtLXmdk/lysuoS/dd02SrFp4NHKenNYtOHW45hYbYnfy6quZoeMkx0m56QcrboGNQRdW8MzVWk2pGh+Jyzx7H6N2/t/OO+979WQj0yPfOz0LyvfOTuNT1qeJ35dIBe7K8pHxOqAHkFNYA8N4OS3hc+N4zLfdd0p2YGgC3H2XAAXTYXPKcktem3NVxOqxPXF/yXWdi9pmjsTx/LC6PdgZm3ItdV+Klnsvxy87LYvOXz16Kf/rL13G886yk51+/exTPAW6yuJi8PT5PAw65DvPr/HQr/sp1ynktAin1a8HAQBObP2VRsHHHZxXbW/K7GQaWL2XAc97X508t/QF4HY7B+Z2MxdvTbQlSp+bcFdcuwSXDtzfs5DOkssAOY+cgDb3P7xSjA/KtLS0UWiyqhz5z8JL0xPEFYA24+CHjN8DOZhjYvBaCH4A8Y3YYHUnPgEj+I+V9YnaDvDWMcmvFcTrPATxdbK6QM9C5rqNq4CteL0D77DnxmibbnmZrN+vu5yRZDZj0JhEuqPEEWfLqitETzMX2jKKC1atyTsMrZtkBhrx7a/sngT6HV1SHGyzuw0MkVfdODXxu+wS7V16dLjcO6t/F6OTSs8kFB55BFZd69zhG7/k8rvb+Lq70mNUx5gC5Dhg+F4AC9+XOXZLw3FMDjxNPyo2jke3Z/ALQdXRw3hU7ZJxVcUzVtFe6rU2mw/y8S1wu9m6Py/PZ0pw/g80L6H0jZ+LV7ivxcueVeLmLXPqVAOS/+OpAfHP0qIYe/PX7pz8AI+WuPpxKA8DI8wI0IP8/3z/VM57rs2R5AbhZMOp3eOeRjgJvAbnSdbC71AGLCwDTIoObb2VgI87KgXi9gM7CIIZPcJf8F8iToR1zV369lRXQb8D4KdO1AADslPL8rq5TwpcaEKh/BHSZcwn0qnir+LxYv1jeoM6BkxnDw9Zicu5J0amPnX72hxrJTLsq39OoqmRzcuuYdpoSm/PpALvaVWsCzY/61MXuyHeVxFaarZpdctRUpt5UC58jonkfNrcj7zOx+kONjM5x0dW/nqxOSaxSbtn8IvMtS2Rh8yUB3XF7xe48b4/RG/lO73rTv+5YvQE/O8Kwp1uWzLIxRPtgClid2B1TE6Bf6f5WQC+QXyqg93yulBtpN5hcBTUYc8niZnfH7mXOeXjFLpl2LbAnyAV2V821AT2bVVTm6hp26toF8BkDnNj9bhvY780cyZjcjC7ZjnSfPRJLSPeF43Fh6HS82HEhXjx7WUBnT/N/3ns0PtuzW8UR33/3pElRmXktrwGdWLlh8nagbwcKoEDO9Y/lvAAvpn/sReS5z6gGwFtMrTOgVpxvgD99YoCrA47RUwl6AA7r15ALx+pWA2Z6QJ8pNmT94y2baE0KbU0MLVnPwkCaLUH9ZNvvNsYbDM5CUVI/F4N2kCO5n2xuCoA48TCu6unbq94yRud7AL2YmzMHve+k2wC5DLn1VoMMYH+8+jDWV1Zi4No1gR45ryMXAt6pijnYHkavVFv1rbtyLvvYc9wUwGUjCEt1N7bU2CkBWnG6p9S0Ot/s2pPqY948st4NL66aI6cudl90bH6P2JxxU9m3jjLRdBqZczOxNDMlEw4zrpHxs7NNbF6AF9jbWT5BD+NX/C5Gz9ZWAZ3dXnIajXLsWRYL6K9273F8jvPe47icFNu1nmR3mLzz00a2A3RceY4rXQCd2ni3uVIyyzXv9JJq63CazTH7R9F7+rPoPvmJGf2eylbdsKL0mgpnWmYcLA54l2edOjNj+xnNK5LrCfB7c0dDC0AC/dJQh/Yqh8lf7b0a/3TgRLz97e6YmRmNf//rUwHs+TODW2B73roG7O0HYBbAAfl3j+LfnxvsvMNnBXYvEBmvI8G/8zWszt96/mTbBxL++VZ89/yRwN8u7QE34H2c8bjA/sQKQSxO/ztghvGZVfckzT0AmrPlxdCAVSOvHJdTeCOWlgLAud/SgiBQ8y7VeGW65QIh+U4hTh21cABu2H5rSyk7QI+TDoAF+KycA+QAWSBPaa88uz43yMXo67TB+p5GGK631zZURNN/9Wo8Iv2mLaEs3/nOD4D/gBLZ1nZQzI5vlce2y3n3qlvGuxx27Z6722Bx5dqT1THsWAxKAQB6AbxtMwjADeA5A/b7tz12SmbcvCW7jbk5hSEAG9DrmHVa7S7ptYWZWJjPLZ6aYZPTYvIC/R0q6KZcTqtZ8Cqr9fhotmv2Nk8eNVWlsQBd2zQD/JGRuNFLjP4HsTrgvt7zWVxPkF/t/cxSvvMzsfuFrs8Vo2PIAXQq6IjfddDScl5rAAAgAElEQVTgcgYZb7DzmVJujJHuSHPupIG/QyDGPKv+8pl9qnmn1xypXqy9PHtE18sCPSA30CmKAei8tzx3KHivFoKV2yfiykhXvHT2YrzWey1eOHomfvPnL+LWrQHF2GJWgAfDwqiP02hL06zAW8xeQP8/3z9uAf27R2pfBbC8xzv1PsAFxDqeWroL6Pk3i9l5n7/Pv0Ngh8GfM49u3YU4j/xvA5T6t8qE80JQikAO/qPNUN4fECPBk7VRACwYNvIMdJic+++2N+P7RwCV+NuML/MOFz//Trn5fC6Gl2x31xzpO4As029zUwA30FupuCbvzvcAepshB6NrEEYxfxbKVIMLLE8owFTT1WWKadblvpe0N7uzHfSqQI50rzw6zO5Bkp4SC8MTq7NlVDE5rasGMc0u3hWGeB13nuo5OfTNO6iAVjUdHW3KrWuCrPvUVS13uwV47/TievjlhQWl0u7NzWqnVnZrBfRLc5OO3zVs0vF6AZsCGsDNoQq66UkV1TTz5tKJx5FHvjONRsMkx4e9TXPVwbPzy9gt5dqv934r1/167x/iet/vAnBf7yVetyGHKSc5n7XwuPA+/uBKus7P3ebaaUAXqwNyDiS8jLkzjt17Tn0aCfSsZkOWzwBcA/9eAhjGB8yAG0kuaT59VPG6cucVt+PMzx33b8weiQcLJ6LvVke80nU5fnm8K375p7/ExWuXBJ6/Pn9idiX2Vj7czPv82RMbbc8N5pLlBeK/frcV//evTwz077bE6mZsMzoAJZYXU3//RPJegE/Qf//dY/19APpXAPY0q+IyT24FsS3wPXv8KB32NONS8hPDi4lL0lM6C5AB7yM79cyPr2EVLAJ8JkBivil95/cVp7MgEPfz3VwQKq7nO8XwUgKU0cq1J0TYjGebNMP496mgA/CAWRVzxOx0q21u6D2xfT4jVEDq8329A+PTzFKxejI6Pe28MzZwU/3iStvhvmts1UNJdRpetAPtQ9+TcgPQMudgeRpfflAjz+YPy0HfuoCvgZIAvkZTOSVXLM6iAJMj6TmqHl7XOVRSdfKLMDtbPC2qj534HHOuwK/Z8AtzcW9uJu7NTov5l+dngwPAA3yNkG6L04nrAbtMu+lW5RxTZQG7cuxs+QTgxzyYArBTIkvKjWuY3TPhxwT2a93fxrVzn+u4jnw/90c57tfO/V4Ax4SjoAbAy6hDyiPbexy3K3Y/42EViufPfK4hk9UUY8B/Gr0dn8W5ZPkdgBlWB7CS4AXuBLZBfiB4T2DXewn8aTM+3ycHL1af9kKAzH8wfzLOD3XGSx3n4+d/+CaOd3XoP0TASw4apoVJATpg/OszHPXH/x9Z79lk150cffKDroldbYS0WtGDfmY0Cu0MSQAEQQ5H0qMxFEEAJGHaowF0w7X33nvfAMl59ivUxi+z6twL6sWJc/ve2w1qQnkyKyur/vHijJqb19VGM9OXbC9G5w7I62HA938GwIBact5/D8nO33xxdhrPX5yY4dvbc7TV2jwBsXTGZnkf5ue/j4eNWBowttX5MvSSfRmqUUtOufkEP1I663HX5K7jlazjbyW45fpX+y6NPIM7e+pNne7Zd3125F69JDwyPmv6AjvsfUr0dW9P9TygP9k3yAE4El3gTUZXPFagr346J9LuxfTwkBxr/p4kPZtndeiDnXaYnQeFAW0mZ07dp7VuxN4m22ty5RRZeUl0L6ogPMOmGow6vZ+76PwdR2YBOmwucK8upinXmlOvdFxtplEcNs9fR8rjsgvoi1MCNlJ+I2t5S/zZgOnlymcGHnCL2ZuATRp1PAgyKkv7Tfl4Wm6cw66NNNN5VLOBT9sNc0574ceH4/6dfxeTD3ReDFj9Xvdl1+ydnzZOu2r3O5bxgJ1FFbp3/E4mHSYcLjxxWbbVaNrth983QzAagOHkl++9cPIVg9sMjtG2NvWN6/FpG22wuB4GsLnAbyCL1fPnqslRA6sz30q+47rD6J2Pb8bfX/2P+Pdr1/T/BD/+6HpYjAuTF9Cf21AT0NVPN7gK8L7jttd1Fj/9dBL8PV2q0Q18gRbpzd88RxlYJfjB4ocLQMXZL6XAXaBWwCbBlxNygFw1ejM4Q7CnTD3vkQekXKrbc4WV47OeeKu8vHvqlto28Ozy8wDQ71L7q19uM06GHaaeFmnw4LCJZ5YnH29GLwbn+yXVqdlhY2rpMur0AKCOF9O7j+6227YjrjD63oE+18IK2PpwT7101i3x+wa6d8fD5tTuWlVVwRnisOyfy40zDtAY3K3YbIKdM9u0bDJbcHl4YwHerO4UnVtwPtYJM04/KyJbG2l8+EOB3fU6Sbk5s7ay8HNi+Q2YvMDP523tN5ZWrMzPN0MvdWIrLn213GzQcfpLHt7IVBs99ba1U/V6plZHJ+Af3PljPOq+HAPdlwKw93faiIPR/dp9ddptSPqG1ZPZqcVpwSlYwx2gZzSWO0Yc965bSPnfq58u1919dIMcZqZeX5v1iijLd4Ndkl7S/etYm2sxNwacHggYcdPX9KBAwm8u3YjOga/jsz//Kba21+L/+9nmm9gQ8LTV0MhtmPjn0yOzr1jZchyQqz324rgN6CcCuhgdwKME8mEBYAvcpRL0YIGVk5kL2HWvh4Nkfy2frH57OvL8d7t9lgMuOQxTdbsYOmfcceQl3bP9BtBl4vGzQE3J0Kr5BfI2dpeMh91VCvxC5mftL9C3teMAtgy5YvW2hwDgB6T1IBDgk8Xrs6YdRx+9TcLzN5HDBETwEhqgpzGnYRcGadKJ19ALyyW3CNO4BedobDH6eg7FtKS6+uxbPp8d9m5tp2nJeE+8kZrzhWtPsg7Qs5FmY3nZhpxWUbWm25DvL19l1hngasHlOewwevXWke3F8NpYkye3iuWL0avlVoc5cljj1Ewb4C3dtZVGSyqGol9Av5h1+sUA4Pe7fC+w48LD9hp+IViTrrskPAMxdy/KlZdc5yCIBDrGHEGZqtdds//ONXoBvSS8km2S5UjyZHuFYv7aAJxaHbBvMI6KEaefrQbkvM9fi/Wlm/HDcGd8O/Ao9k5P4sefzoKeOYA5I68OoyajN60y/dxqpZVcrz64nPaszfmske5I8nw4AFpkfF0y49JsM7gcdAHk7UAX2LNm1/tZgwvgAqVNuwKl6nKA2z4dp1rfIRpL82T6Go458chrw+AK4zhtVxK+QC5ml+S3wuDftVxvTcapHZeSXiBvQjWecVfNLsDbiZcD3wZw2B7DTa57gTvv9R7sD5g4bYQHVgEdqV6uO+8pX9+A32OsgJ25dIBuow6m91VtOG+ncfuNAyB+CfSS9DD4Lsc4J9D5HkC3nGdAxme4UafXuevlwqtO53jmBUC/6NTc/Gw+AHy2m4y5ps9ukNNfd+vNZpxqdh3v5PVTNfxSuXic+GJyMTwmXS6nUJ99bCTu3f63GOy6lHX5J2b27ksCO4YcYHeNni21BLrAjfuOSZd9doCPww7gYXqAXhemnBj9+wS6Af6XWJ9OwM7gsCez570kPjPmyHaBee4bA5y6Hjaf+0bAX5+7rlTcysLt+I+psfj06UzcnFiMyXXmwM/F2BpcOT/1AAs19Isjt8sArxjZbnkDdMnvVnvNgG+X7Uf6G/8N5Bm24UFiqZ7rp1KqtwMdo++XDwL+HjV4C8wZkAHQgDQfIAXSkuOAsi6rgGT0ZuClyoPWXf+O2m3Hbrkdn9iga5PzZc5JsmeQhtd6CMDkzK63ue/8LPbmnqyuyGtNstGLp62W8+plzJXc587vA1Q2zejfZQBGCy480FKvy6kH0M7DOyZbAC+mb37OkdadPOoJuV6jrTX+ynt25n0sMyAnKgvIMem4ypSTIZcDMFWjA3D11hmEWaprKVhYYfA7VMNn/M5yRWab3roBzjZZL5v0IRGYcSyl0HYaTbrB5H5P/XW14CalgpgVYIOsEnOjQ9F364/xqOszgR1QD/ZcjoGuy5LxyHmBvMOM387oSHil5+5mnZ6sDpvbiPNMuzbH3qbVhiGHCy+gY6ylqVa98JmvgzYajA1bcwFu1eDU7Lwvuc77lvU8JMi2b85eiwL6wuytuDIxGb9+thAfDUzElftT0T+5GNtHuOJtMj7NLqKtSG4558nIZbQBbBiazyXLda+6vsXexeIv3127N278uQdZADkgpCUmQKuH78EX/ZwyH0DzAADEMsy0xaZUgR8CAP4sZ9ML4KqjC/BaUJGgrjHa/Jt8X39f4Rz358XqKeX196pdl6fG6m+nbCfgA7PzO7jpSsLB1Als/QyL68o9ccq5s5RyLzfMeq8coAXcaqth5B0ceWnkzo7O90aeI+sNbsI1rasAL9edmXUdFuGHAXU8AOf360GgbbJ5UIQceNpvquvXvEZ6Ewm/5uOaVbtb6lfdXkB3vd4K3dBn94KKbL9pWQW752onvGt5fuYiQQfT+/SXuVjKthsMrxl2JDtBGky4cuRnZuS0A/QaY1X9TjaerPy0j2OWWTc5KXOOHjtbaHpufWWg91yOwe4rMdhpoD/s/Cwe0nLDhcd1x5G/a/ku6Z6RWMI0/AyglZbL9BxMDuC7OHddVwvsrwjkap/9WfX1GpJbPXMzuup1WH3mWgPwArpYHNmO087n09cEdgC/vvBtLC3ciUsjw/HB08n44PFEvHt/JH7bPRTfD6/G4hYHHr4QCwNAGJ6WG8xukDGV5rq7XPZ6EBjshGYw2Y6Ud5cD3wy8AHweGlYH/D3ceL4LuF2vu51Htp7P9WD4EYPOfX2VAac27ATwBuhurQFMx2dLBbitByj5vlpqVXNnCcDfRLIj6et7/tuW+s2DJMM4+k4xvB4UjsuKsQH2vmtuvmcJf2zGrTQdQOfabxl0zKlLkufMOoAu6Y75BnvXg0LMj1vPdtiDnRh7Mqi2mLbEItF1iIQ3xwJyfpZr3xahJS0nQCtIsyGmR+5zEoz67TvbsbO51Zz+woYaanGCMrC6TnDdcPBGLI9c5yy3jdWmzVbbarQzfmNFtXoBHSCrdl9aihWCNWJ1t+EE7FwpXQpgdWEhHfqFWJ2dVivO0t0nwQjwCeTFKTM6wCYOS4uN14CfBRUwOe21ysbPjE+rvQbQBzuvxuN2kPdcsUHX8anGV2u6zbPqnnRDsqudRh+ddVMMvKSE7+HnH5yT1wAMDvx3n0T3D59G1/efhIC+PPvnWJ/CVc+AzNRfJN1pka3PfBsbs9fN6ArJ/KUBfBlwsP3G/NdKzvHdtfnr+p3Fhe/j8uhwfPBoIj58MhnvDY7Eu/2T8UHPcPzbw5kYXd6Ko+NT19aZTqP9RR3P3SbcSTrn2XID3HznOcyO6Xas7wNWs79/T7+bQFdungcCLbxM1NW4qkAOYyPt1d5zLh5Q8l7V/QDb0j+B3aTrku3zQaCHicCeeXiZaQY3QBbYpQwqpGPXnb/PA0ChHIZrEuA8eBTJxXlPALtn71BOmXWYbGW04aKXTG+AmwDGhdc+ePXfawlGLrLIDbH8jlgb2b5/6AfDzn6MPBqQjOZBUMxPXa68ex4HxUNEoNf+uS3V8AcMz2TtDpuLtbe3vU1WE2/rsbu1qX777gaGnXvsJd+p8QFxtds0w04LDumumr1t2STbY9d9OARgB+iq3ZllX1qMlTy7TTPtCfrVVQ/COFzjmGyTnJufDRtxzK0nq88SnZ2R4w6oATlsrpYbUVnSc+yI1874KbXdZqYnY3KKhNxk9Nz6Mp70XokHPZ8J7JhuYvLOSzHYeUWvmVVXLLbzs2bwhZ+ZWbfjDtD/1Wm5BDxsDqtr7ZTOcCM15156G6Njurmnrr646m7HXmFw1+Vmbh4AvLc+jxHnII2UAK21ueuxOXtd96X5O3FpeDg+eDwWHw1NxgdPRuOdgcl4d2A03u0cjiv9M9E7sRYb+7TcTszq9NizLSbg0R4D1D+eNdJdQP/5VG21areZ3d1KA0xi+szAi93rPdXqZt/zTNMVoHXPpRfF1gJ8Sne11DDfAGG56TlWK6AC9nTUi7l5v/21QMp7+Tf5+z+fHgvkqvm15TYjujxM+K5A79JBEv0oF2OSk5dB5/AMUdhaQoEkV2vtYN/SPOOwYulfjK0CfD0QSu7TX98nG0///UCMjipggQLA0Uab3V2xcwEbIFdsFjnvYReOZqb15nPdAfnRtvvpSHg58TubQY3uOp1NsquedNP8uoM17KsrQ65ku4y5rNFJzzHs4vbbcusIZsy3ZPQCPT+vZVzWxpxrdBidC7CToCMOKznPdNscSyxy7dRCC+zU6bTcarS1AI5ch9EVlZ2dbJZJ8vPUxIjWPQNuanNke0l3Wm6Pyn1P8EvCd37q8MxtavS20dY7Xibp+pxx1k/TfWfPnHfNcadWf4VTVRR2ycCL6vF03JHwBrWBrTo963i77OnCY8oh+fPCsEO6Lywm0B+NxEdPR+N9GP3heLwzMB7vPBiLC91D8Zuukbg+tBgzmwdxSt3NJNuPydrZ/9akWlObn4jRGYaBnf/24jT+50/nrt2ZUHtxqsm2YnQxfgN4M3T1z2HzVqnAw6Fq+dxyI+/gUOpC0VkkN8spNe9uEKoUyDacpTfOeKbWlJRzG43PACzAfenhkT/zHqDlYSOD8JcgbzPk2sEvyU7qLtNyAJYLkHMBeBhYUVn659ly4716zfdLvgu4DcgdtCFsw4WLjOvM76qlluCutJzADpMD6GR69de3XZcL3DA4YOcsduKyStFt5GgrwRozPgyPMVcDMcXmOgRCW2RtymHOGeC1NnrZu+Zgc0VjDXYAjilnib4Q60sc78TPXiq5tsh5by2wM94K0GFxzbNr5ZSTczLlcm+8pDrLKmYcrhHDl/M+zTYagO4aXZtpRkd1gAOABugy5QA7oO+5LMcdQw5XnjtZeC4m3ZDz6qnnyinL97Z10bfdN4fVDXDn4GmxKQJbQJfrjvM+861ddLXN3D5rZ3S/tste4GZSjZodRgfo/Dy/eDcuDg3F+49HxOYw+3uDE/HuwHjeR+PCvZH4sHMkvhqYjicL23F40gL5C9JxKeHF4glisfeLE4H8by9O4ucXZ3rN+wVsv279rBo8e+0GG4CrKx8AmcZranixq2W9HPGsk8XGktk20QT+ZGgYu73+LvAL6HyGbE+nvgE8tXuyvCbkVP8fNQMvPCDUastaXK8pCU6OtYhCgM2gjEAr0BvUBfy6qz/exuiNYZeLI1W/t7fX9g7E1MRn6Q9Tc/LQQLJTq/P9St7B6GTeAbQ+596wuQdeZMRVsAaQ7xKX9YEQPqzRhlwD+DwYop3RGXrxzDogb5lwuO469YUz2nTqagvkMLoHX1rvid2TxesBgDFX+Xgz/GyobidAM8eATB3VXHPsHneFwcXoKeM58glg+5qOqTz8gXv3d1fjUfdFG3HdVwR2AD/Q+5nBzUMAoHd+InAj44nKPuz4WIC/1+G+uoB+N7fHtvXRkeuAHYA30l1mm4ZXMsY6hePectvF6DjvyHe10LK1Nn1NgJZ8LyanvTaHaeeHwPz8nbj49JmY/P1HowI8dfp7g2MCuyT8w1GdzPJO10h80jMRPZMrsb536DocBx6gU5NTPwPq52ZsgPxzzqVz1wOhvpvTbYC+AC7gP28l5FogtxHnsM2BGJ5NMq61YW9y7i3DTUDNerpALDne7pDXQ4Ba/dg1OPK9wM6DxpeDN2LofKgA/p9gfgZeckkmJQPfkRxP0Ks259+U054TcTnyqlq9LTQDyDHuuKumznqdv6eQTbK8Wmu/BDzf3bOpx/+jM4XF33ENb6Ou5Hsd5XS4k9tmc7kk4C72bgc6r8uFbxJzbTFZanXHZvNYZkCvwxprHZWBXpLdoM+Fk82eOR8EAfDpr3OJ3fOYJ4Bdsr4SdQV0vqfXC/Tf/VpZ+AXX7YC+5thh+RWceYI0nPjCLvg6w216Stl39swxutrz/RcNgz/qudIAfrDrUzE6LTcuQjQKznQ4KosZ5zrdCyoAOgsludelXfBpzCHZBXTMOAw1Jd5op6lnzt2SvV22F3jN2n+NjfkbsZ4GHN/jIYDzvrGAa28pb6APx3sPhuK9R8MG/OBwMvpYvPNwTBL+7ftD8d7AWLzTNxb/0j0S3zyZi4XN3XjOUEqblAfMAAEpb9CfxP889xIKYrA8FGBLfU/tOCfqSsb7zqCL3Xh+rgeB7lIP5foDNLffYFsYnX/b9bmTaoq95mIKM7n72QXoqs1/1EbbDMVUbV5/L7fXyIjLEoB/h8uegFdo8e9qEEVrrxycUTsNcOe4KsxuOe5sPS04y/acWoOpAS69c8y7w2ONuBbYATCgVm3eBmbJ/IPdWFteUvhD7jzGXUp6qYAacc3z2ygFFKYpVk+mB/ACO+9rft2JOup1Bl0k1dVfdw7e7Tam3iofz5nrnmpzL51+uufad1dbvXW13DDmFr0LvkAuoGuO3S24YvJ1pL6Oa54XgyPtkfM482Z2j7sCfAAuZk92B+S6ZmfVhqtk3OzMRMzU4Y0sp+B0l4lRmXGPYO+uyzLjqM0l4wF9F4bcZRtyCXSZcsh2su+ZiqOfzkVIprkIzeTJL2b1j/NE1o/jFaKupN90V7/cQDewk8nltjsUQ3DGcv1rM3qCGqDzvlnfEn5h4W58+vhJvAO4H44KzNxhcoH84UhceADw+Wwq3h+cFru/e3co/jg4E+NLm3Fy/jx+fHGuVJ2y6mJt5L0vHgSwtUCrz84dhf3RY6n1GcApoMPmMt7yvfqshl70PY2yZq+c2pw+OXKZoRUtn2zV3AJ5MjqgBuCMnjKCCiuLvfNv8PCQKiDqm0qBf1/SPdtw/PvF4i+OckSWBwJ/IyW6Tbn2SbVqsfmBoNo9E3OAH3DDwoC/EnQCeMZmec3Ai6/DONo/kDS3KbejEA6OOHU6ABXIc6ccwC/Q12vFaRWqaYvGJoNrS01m5CXtYfyMzPpBsCFzTmYdoE/gI+crPMNdwZlVZtVx4Nkm6yk32BtzrsDOOW51nhuvYfC1PAxC7C5Zb+BLzis516rZATqtOep1FICWWWh//IwCNoC8anQceNZR0Wqb5Sjmpl7nvbGYmhyNnh+uBkCHzbkDbhlxMuM+s0HXfcXs3tkK0GDM9Xde0iWg32mtoALsmHLMr8t5v235DuCp11/RsceEXpDs6p9btsuIm78mllfeXSEZO+0Amhocmd5+4bzLiEPKz90IAf3Rs/jgEUA2a797f8zgfoR8H9XrC/eHJeffezAaF+6Pxlt9I/Fe10hc7p+Ovum12D7KqbMX52nUtQH9uR8CMLqirvThmVR7cSBml2RHFaS8x3zD1S/p/tOLPdf19PDbgC9l8JxOgJnYNbrTcA7NZC2eIRnFXVM68yCwoVYtM0t0/Q3WZPF3mw23+SCohRjI/jToVBqUzE/nXTvhdUSzl06UGVe9dDO6R1uVolO9njvlD72NBubGOT8/OmsxOkCHoTXd5gm3owMAT+7dyTn64Sw5BMwc/qCBFrXTOPo5p+Q4lz1n2ikT1Fbb2Yk9Jtv2tlSTS64n0+/v4MLD8h6C0THMhG2o23eYgvNrtdxYQrHpQxmR6wBZcVgxuQ9yZNkkn/nsdYw5j7fq8MZlgxygc7nt1mrB0W+HxTeWV3UH4Mj5WmSxnAsoabch4ZfYXIMLD6OzNTZn1nU2e061UavTaqO9Njc9qpn1rpufW7q31efU6I9pt/UY6ErKdZnZKzwj2c6W2AR8391P48GdS2J07ZnL3fCAnbQc4GfjDGCXdHeLzEMs63N/8UCLEm8A2zW35bhbafTMV+e9KqoB+uwNJ+LmrushQO0+v3A7PnkyGO88BOQT8f7DiXj34VAC/Fm88wBGN8Nzf/vhs3h3YFjBGhj/zc7h+G3PWPwwshJLuwfx489I9lOBne00Jeu5y4Vv2P0gh2Aw404FfOS8a2/adU7gAXZAZ9A7dScQ5jZaACv2xyiDsVU3e0S1QGjGrvdau+TEyNTYab7JwEOSNyyeM/OEcvAf6gEAoPn32tJzPLjkAyDfMeSQ3tzZRpNZeK2iSgaXpFeN7kUUbrsBfq+eIu0mNkchsFU2Wf34yKyugE0CX3U7YGbTzP5ejD8dFih12ionriLZCdq0sXrV7IC8ZDrf291jQQUG3Z4uLavIOl7bZOW0r2vGnUCNDDkkO2GbDM/QI6cWB+RKzW1seJ00DwCYfWMjtlbN8ICdDbOKxq6sxPpKtd4s02FvHdO8uhJbS8stJ37RM+0AnavcegAvs255Xr11XgP+ku0cAIHrTpqOkExFYgnW6OcZTnOdiLvfmcmf9HweXI+6PpeEf9x9Va8HOm3KFdiR8oCd5ByfId+1eaaD+fUceMmlkpWHp3bnOwrSfP8pQE+TjVRb1txicAw4TaJ9rQCM03DZO2eYZSHr8ba2Go77+tx3sbnwnWp42muXnz2J9waGJdupwwH8Ow9HGjbnNYxuOT8k8Os9PQDG452+kfh150j8x8PJGF/aitNi8J/ONMnGqCrtOF1y1d1Lt/tuSa+aPiO1OOqwtfa9s6SCtFwyOa95MMgcS1YF+Mj2aslpEKdYFkDm3ngYHFBb3jsYI5bPz/X7mHM5yFOsLVnPv8UGHJlw/jv1gNHfJRoLKDkSikUUMvmyh06tzWfMvx8fuEYvwHPXWiqHabRF9rCk/WGcHx29xOgnh0di9NOj45TwPicdkCOxq5cO21ZdXpK9ATx1foZmeADo95LNORTCQDfrF9Bhfk514aHAtJu+I1WQvfYmC++WGkDnAtTbHPHEBhpy8jqplZVUK3Lf5cKvrjZAFzu3yfTNBD91e6Xn1pdWxOZqv60sNsAG8NTnZdDZlJtvQE5ibmnWP9NflwOv0MyEzDmAXq23ju8/t2zvuRKAGxYXo3df0cSaa/SKw14xyFWbX7JJx074jsuW8HcvBsyuev22ZXvv3U+CCwkv9/3OJ/EKzGuZnrU5NXuGZTZw0Re+VTCmHPdqrTYj+QUAACAASURBVBXQYfRNWF/m3LXYmndrbX3hRiwv3o3Png3GBwMjku+011Sr008nNMP1cFzgV39dD4BhKQDAXmbdhXtD8XbH0/j83lgMzG7H4emL+PHH52J09dhh8jToYG5fBj9Alfsuoy3HWc/N1GZyt9gktZsIrY03pLweArkqmtdcqrEbsB/E8+PcR58pNj0osmavWluKIMMwqAD97TLmZL4Z7I0S0GcGffMAYbXVybFqf5cKrstx3stp52GgdpzMttZ6aPwCgA6I3ZZzLr7Aj5RHFQB2XnOpXhdj76te57ssUABAlAiAWAMxbKNJRm/ukvztmfhMx+2xSRag26yjp15Svlx4GXnU7JmX58HCGCu1eLXVkPAwuvfLrSsWW2EavscIawP01dUA1AVmSffl5eZnG3XLsb6yKoYH5FyOyLodJyZfWhTYAb3MuKW5WNTRzM7CA/aF2RkbckrOeTsNzM5Vbjxnrz3uLRY3u1c/XW22zot6EFCP15ALTE16rsw4su6wuX7GmLt7UQ48AIfFe+7A6J8K8NxfkYtOwk3pNxtuAvjcNwIwQOY7jcmWDK4aPcHth8G12Fy4GeyJw5HfmL8poF9++jg+eDgSHw6OxIcDI2qxffiEPnr21B+Oy4UH1HpvAKDTgkPmE6wB8CPxTv9wvNs9Fv9v93jcGneaDpPup58T0NoccxLPWQSZr7mXGSeJnvvjYG4zZivn/uJ8v1knzWf+ToZoygUHfC8ZZynZlZTzMgpJ+VxKUQ494BWTw9iYcwl0qwQ/VLQgM3fl8aDQwySZGxkPk1cdblnfPqvecuEF3AR5O2OrHYdRCIuL+QH+cSPbKQEMcDv3OO2qzQ8t2WFs4rD8PzOhGR4sCsWU257TcB5yAfitdB2yXuy+5z57gZwHBVf7pBs/k6Sj/ucBoBq9VkhvriWgGW7xRhpA3X41Nfxa1vJra5LygL4A3oAeKQ/gMecWke5rsbqypOQc8/ewu0CfwzAl5e28z+igCI+xGtD8b0O9vjA7F/MJdHbN1WALr6enxqL7xpV42vulwd5r0GPMAf7Bbq4rcuQBdl1VpxOYoVbnZ4DOHZA37TUisJLtnxrogL2AbofdYHe0tdUL35wnCGN5rzo9R1D1gFhE7t8QwMXwi9djc/Fbgd2MfjsE9AHy7iPxoUy5saCnDqjff0QcdjzeHZyIC7TaBrNeR8rzAMChl1tv8EvS947Gr3tH4+uRpZjeSMPt53TlkfC01dg6k2D/G+DBxcake87m2IrJmsltwLXm34vleTBU3UxdXbV1MXNz5+DG7HsDbIPUY6bIcUnzc6/OUpsu63T9TZUEXnFVDwg9FPLBoVq7+u9y/FsMz78JeHXP1/UgALQAHlAX2Ot13dWqYwy2Tco3LI77nq0zwA6z153wCHPV/F7Jdd1JwvEw4AFR7K4I7Z7qdwN93y01GXnEZFtbZMXseWyzJH2m65SiS6BjyHEVyLnbpCMHb8bfY+AFkP/iAuiYbwAboMuIW4HFfa0ur8Xa0ppaiIAbUw6wN4m5Ss7Nz2r7DBto2ttsgJw+OowO2AvoGHHtzjsTbB03r8Zg3+cJ9JaMlxOPC58mXdNmA/CS6zmnnkAX2Dsvxr1Os7lYXsMurKTivWT325+Y0VtszlBLtc/amdwhGdjdrbWMvOK8K9d+w0wOmy/eFPAB+srSnfj06ZN4d3BI4FZCDlZ/NN6A/cKAZTzAf2fQ4BaLP8j3MeeS5THscOWp2z/oGY2vBufi6eJOnJ6exo8Jdsv2OuABsNYwDGDPgZe65xALWXgm6HxZVgvoMupsqMkMq2GUZPZy2gEpn+thAKgTqPwNgb+dxZnIE9hd9/90dtYwvJhebTe31AA64AXM1YuXIqgHi1p5NQjjdh5MK1ZPoIu1WQR5fBTPD08k+3mtv318FBhwMuTYK8+O+JTs1ONlsPk9ptr2BZSJZyNeRVV9dO4p1SslB+gJ0DQhGpluXjkF6GtpRYEd9/1wb1+SXkDnfDfl4lsxWYE6T30B2PsbG6rTqdUJ3LBFdmfVufiXgJ41PeYc7wv0K2uxsboWm2vrsbbCtRqry8ngyeQCOb10wjJpzAFuxWI54qlm13Xc06zqddi7QM7xzItzszE/Pa8YLHX65NhodN74IgZ6rzZ1ukIzxGGr3dbG6mTifX3231gcJu/r+NTXXcD9afSTd08W5973w8XouXUxvBxSM+bk1jkz7etYW7Bsb0+9VUuNyTSZbrTYkOiLN7UbbmsRE+5moADIuVeNDtDpowNysu602gT0QWpzy3fuMPeFgSEZc8h4mN73litvGT8mGf/eg/F4r280Pu6fiK6xxdjcJdV2LiZn0EVpOQViDO5GwitlZ9bHwKvNNWJ2nRBD681gF8tWXJXaN/vcYukM0YjZeUgU4ybI67ti9arJ2QuvHjkPIFZneTKPf4/vV+2vnwEztT+/o310Tsu9BPQM9NCzf0mat4FdkvzYtTk9eVZBFeM3AOdBwPs10grg2/bKCZhMseGcb2zE0NPB/NzvyZnPWl5yP7Pyaq/pdQJ8e09A5u8h+0vSA/KD3b042PaDAfnOe7TkFI/d2tJ0m2p10nI5BMN/C2OsOhlmZ10Snkm3vbX1gNmbmj7ZfXNtNbbXNmJjdUWA5+e6FJgh/w74VzfF7qvpxAN0QK/z2zIkw3tsqqkc/OLCnGfWGzbnNFYk/VxgzpF3B+gsiuz87ot42J2SnX56sXgP0dgvBfiS8LC25Lv2yRn0/MwJrJpRp1bvTBf+tpn8l0BXe02LJapHnnPoSPSVWQy26602Guy9gCznfk1MDrBlvs3fiK35mwHYlZhD0i/ejMWlu2b0h2Z06nRGVjHlJN8HuJvFC+z00gE47I1Ul6yHxR88k7RH4hOywanXhZTvHI5vH03H3NauFlr8hDMvU85Snjy8fk5XnfqbfDzvuacOAL1Blr45YNRGmnxQ4IZTFxcgBe4y22D3tsgr36m8OnW3XXZvodWiSv7bVBak0oDhkfinhGSsAPT3M03HQwVVoJNgYV8eOEhytd9ysk0PmX09GOSy5wIKBWX4Her7lPmwNq9PAP+JjTcMOn6G/Zl1t/ueiyMPWGRhKc/7sOrQoycpz7P33i7zAXz7UAwz6jmiKuBvecoNkKtWVx2+6z77LgbfQezvHsTh1q7AzlAMJp0An+m5Rr5vtXrsmm3HtFtnhh2gr3pufc3tNlpusDdszkOAn7fWYfTVRsaT/DOrrzgmS/Q15fvG4kpOs03bfdfAy5JkvJibc93m52NhHvk+F7wH0LlgdFZNAXQisJhxA72fx9NkdWXcZc5dbRJytNy4aLEh4e91fyaXXXU546qZkIPRqclhc+T6vY5Lkuy8FqPfYknFxXgFUCvVxjBKZtV1nBKDLdM46q7RLdmR8xWa+Vog5/Ot+WuW7gvXYmvpRjL6zVhdvqManfba+4PDMtbefzLagB3QA+wCOwD3ZfZH1gP2t+7TgoPhR+KdBzbp6r0L/WPxdu/TeK/rWXz1cDaeLW/H2dlzJel+ZGkktfqPp/E3Bl90XhsTaufx4qdTgRBgUsO/eO5Qzd/OGIc10xqQDrTwPUAnIGOSIdXzvWLjugv4CdAzxm/PWI5xrn45gR0Aj1pQWZEqAjDr72HcZc5dZh279mBsyfWU6cfHAimMXHW6pLgcdw+66OdcMQ1b8z1FZZHtvJ/1u2v1dOSVfT+K071DXWf7R2Ju5Liy8rTJtnd1mANA1UMhV0bznZPd7KvrkIddn80uQDtJVwZdMfkvZfv+zm4cMLu+vSeQl0kHYytAs+UlFvTX/VlrH52CN1tb6r0jz5H23Dd14ksuq4DZN9Zja3M9ttY3xO4AnTp9Z3XVQZnlJdftAHx5KVYWke1mcxh+eTGjsToMYl6MvsbAywK9dcA9p6OYqc0Fcmr0memYnZ5RUo5Zge6bX8STnj/E494vxN6P+5x3h9nVS+/9LB4i4xuwY85dif7Oy3G/yxLe4Rm31mB02L0B913Az7z6J9F397Jev6KtMGqhXctFj1/HZs6bl9sOk5dJp3YcLbl5Wm9upwF23Pa6W7rjut+OK0+fqL32/uC4pPuHT6bF6GJ1anLir2q3DcuQe/chCyrM6DwAxO73J8XwgF0Ap1Z/MBpv9Q/H2zwEYHlYv2c4Pr43Gt3Ta7F1dBJ/++lnA544rNJxXv9MuKY5sQWg08PWkEym48695grgNWBWu6uGUVoyXuzLRhkCLBl00XsF4DPqd7fO9LfO/W9QMsjsw0NIt71kvkqDBDsPBIOc01czNaf33GYDwA1bn1RtfyR5jkTXwwfGl9tuc46SoH4u+a6HwdGJ3idQw7QaUh02VwY+p9RwwieHRiXhATcKQfU4W2UOWmzOaxicNJzuu07YAVCAXiDXAExKdRh+f3s/drd3Yn8r3fjdndjb3vKlk154vdOMszLHzkPAq6Ut4wXmdTv01Y5Tzc5xToRo6L9vrMfuxpZYHSmPZAfwgHllkdaaI7AF9AK95PvigtdBLzgXL2Nu3kCnPqcuX5yDxWdibpqVU3OS7phytCe7vsdxB+wtx12uOyYcAK/Me/fnCsgQkgH09M6R8jA0jC7zLWV7MTqfweQFdIMdRmdSLZm8ScEB4nxPbbR8EOhzanNabgsGOj10SXrV5jeyRnftvrx4K74YHgpADrA/fDwZ7z8Z08VqKWp2rhpdVV2ezvu7j1ps/jb1+32DuxhfACdNd5+QjZWA4rX3huI3fWNxfXQ1FneP4/z8XCDXDvg04Yq9teBCbG4ZTetMDr0OfOBh4L55c0+wK7nW1OiAycsoYPLGtEsDjpq6CckA8gS1gW6w850COcCWN5C/b5BnW+7E2Xkrh7a6XBNtLYMNKS6Q05bTg+DI9X5j0JX8d+9coKdGR9brHDfkOj+b0QvoMtx2d3XmN5JWdXzOvwN2frZsT1Dvu86WZE+prs8FdJt9TYuNI50k3d1jV40O4BWR3dY6Kh4SVbNrPVWOt1btzgz79taGGHtnE8b2AIwCNtlmYzcdINfDYBVmt3zfWFtX7b62vNIAHbD78gNgeQl2XxbIxeJzC67b5xct4YnFMqcuoM/G/MxsLEzPSrIDeE52YaiFGt3tNQN9sO8LtdUakGd7rWXEXWpaaqTjALuulPC8NtBtyLlGh9Ex5i6J6V/RqijcdIZTZisg4xocQHPB1AV47luq152M44FQvyfAL16XdN9Y/C5Wln6IL0eQ7eNB75yLLTONGadeul14WFzttArSkKbLcVaxev+QanPV7crIF/AzWNPPw2A8LvQPxdv9Y3Ll//hoNkaW7corOacEXU65Vd0u5z2DNIBQl2V9SfXqd4tpYe28+FkgB+hZs5fEfgmwemBknc6Dpf6dVAxSDqrTM/cOyLNM4O/q38En+MVVbA+YKwRjhj42sGukVTW9QQyQ2y8cdcn3tvdlrqk2T7ONtFsm3ngYcN437SR9L2fXy8gzk2cPntw747EAOw9kVHZ+92WQq5dOgIYwTQJb7C6TzuwuYCPNi903N8X6vA9DI+cP9flObG9sGsjIc6R7mnHeNed9c8X6Bvp6q80mRrdcB+Ri9AVqcYMesANyja0uLAnomlNPRhfQZxdb9bnScWZ20nKc5NJxA4B/EU/6cN6vJrN/EQOdV5uRVWpzTDdabdyrJgfU9Zq7llFkOq4FdvrqL7vvrxjMCdZZy+8CtwDeBnbV4sXgJdWpzwnRpFm3kUDn57Wl2/H5yFMBuwH60xajN6YczP5oUvU6zrrlfGtJBT8XwFWna+rNQLdpx0PCW2tgd9j+7XujcaF3NC72T2owZvPwWLV6SXiku2rlZG1NxqnFZtedpFyBreS7ge3Muz7TthlPqymGiuElpk/XXkDOPH2Bu02qy0FvY3Mkvnry2b7Tv5vSvUBev6MHikqF/O9p5Dgroi3BJdE5P66utr56gR3gmskdnhF4ybAn0GFgMTpAP9zVQwLnmDaSTLoEOt/x77qtxu/RLsNddzstQzQZniH9xvsCOa00XPfdrM3F7inRt7Muz/tLTL7DaCtyvS6OeN6O3S0vnATwAJk7B0RyGeBI+PXYWC/XHaAvJqM7EVdsDrCR8nWp1dY2n84DYGkeZvfdLTVku1147nMzsDs1+5QWd9y9frUBOUAXuyvn7h464H7Q7QisHPf2tVIp39vBrom2POABsGPY3bt9yYzO/falaIDOQQwcoQTIkeiqt1Om1+vNBVY6871vzfLN9Fq24+TKX4/1RQN/Zel2XBl+pg2wAP2jZ+Px66cT8dHTKbM78v3JhGfV1Vt3zf7OIzLxnm6D1c3so3bdcdypyetKl77acRcePFP9LrDfH1Hd/tvekbg+vhwru/ttmXiAfqYaXCGbZHaxa5psYswcNimQS4pnMIbaWj1ujmLKnrfeywcGr7mKsRsmT9DzNwu4ekCUJwC4SfHl9xqQl5JoY3b18mFu9shh0h0l89NKA/yNrD/RfysA14RbynSZcgX2/RPJdYBf/XQAq5/F6qTnjmRAMa7K+6rj03XXA6HNdW/YvSKypN60gy6HZAD6HvHa/diXbHeslqx7SfeGwVlHRV89DTcGXSTjKzWXYGejLLW3QL2+LZCX8QajI+kBP647Gfn1NepzD7xUjU7PvIDOSCrghtmrdhfTZ2BGMp3W2vyCzDgZctTn067Taa8h4VkUOQ/ox6ei47rBbanO668s3bs8ugrQOXgRAMt8E6sj2VtroDmIkUUUBvalxoxz5p3TV1lGYQceCf9KSW9GTIvBxdBpuNl8M2ub/ZHzFY+tWp6fv43teZJxGYFdvB7U6J+PDHkL7LOJ+OjxWPx6eNIgfzpukD8eD+pxAXpgzGuhBydUt7eDXLl4jDec+MHhePuhF1i8TZ2eE3Bv338a796fcD3/MJmd3+kfife7R+J/DM3F8OpuHJ/isrOk4tQHMAjYZmPV6Qn0AmE7+Os93ROoAqJm0O2KW7YfxIsTB3YAbIGaz/hdPQBSrou5xeKeoec7P51krd72MFCtTxtOizPyc7X+/G/Jhc+fy42HzU8zAWeXngMbs5eOA0/CDcONfPu+s+4Cts5my3VU+bq+R6qMJYcl1x2WOWgGXVSHk4rT1Jud9ArPYPKJ6fdZUUVAxkyO016Mrnl16vGtPRlvcuNhedXolu8N0LfZIAuA3WuH3QEzQFcvHRaXdKfN1gJ69c8x50jKYbZRn2vPnBx3lki2XHfAjkSnd475hikHyLVVBqk+x1ltyzLhluaWNOCCIbc4syCgA3KMOkl3GB0jrucPGXklHfeybK/JtQI6rjuvBf5cEqmZ9FxAof3vLJ2g7dbBnPrL8t1An4GhW/W4gi/U61omgcPuQxua79BLV579hg9syN/lYbGdQOfsNVx3avSPnk7Er57A5OPxq8dT8atn02L19x6Px/uPp+K9x47EirmZUyfnzh1m50GQdTsRWbntD7JeZ8Hk/XEB/Z2BZ6rPkfb6DvI923LU7c7Kj8bv7k3Fg+n12DvgoIicU9f+eIPfEdg26Z2MjMlGuw2QFlj1modCBloErnTVi4UBuWp8vldMjQt/Qq2OA58OPg8fPQS8Jeen4xNNswFU/kbV4bzmPR4U/L2z0+P4KdtsaqHhvCPRce3bpfrxkX7GqFN6DgWSWXe324jDIt99YIPZujW2CsgBMPIcJh0bfSqgG+ReIa0HBcc07dmxLxMO1vdcu006PUia/Pt+48ADfAZeqk6XJN82yyPxYXfae3wO0Euy72xnaAYzbn1bjC32Rq4n6AG7mBw2X99wDHZtVfJ9Y3051uW6M622EqsrC5mGW1YMFgYH2Noemwczrs4tajMsXgVsvsg1Nx3Lc74zySagz82LyQE6e+UAOsk4QK5wzL0v9RogE5JhqAWmh71Vm3OCSxd1uhndkt3mHKxeUr3ir2Z5n8tWKTkc+Fc0uSZQG+hEWmmvkX6DpZHxrIjirs/yPR4CMuhyISTAR/orOZfJuNXFW3FldEg73QG7AP90uvkZEL/3xKBWL31gVIz+zqOJePdxHvpQ5tyjsXifxNxj1/DaWjPIyOuQLkI0mHYYcTjxbz+YNNAVrhlvwP9G5zPNuN+cWI6V7cM4OecsOPe6kcu8lqQvyZ11dsO6sHGGXACpwHvmDTEAWgCHhcXQNf127MMjc7UzB0nC2PyugzKUEK3WnQCvNdIep1W0NpUAvyOwn/mhwwMAh1299iODGclOAk7lRGXZOVn1yBFY/hv5HYdmDhSDBcgAkPcBvKbYCNUcnsYhcn//WDIdeQ7oRp89jtNdnwYDS7OkQvFXncXuhZLHOz61VbU4rTZ65NTu7JRLuc9DgQQca6Bp3XGH2WmhAegy6gjNyHijtSZDjvuOt8cqHQf4zeoy49YIzzCuuuGR1rU19cm31mipbWQizsEaZLwm21gnpWEWZ+J5j2EXgM6AS8VgMdy42BGvgxgX7b7jyPM+TC/wz83Hkow5y/eZNOOo0RuQq5d+VeYckn2w9w9KzQFyWN1yneOaPktGv6wa3CC3fHcLzfvkulkW2fFxdN/FbXebTUBXTZ6OeznwBrt75HbjvUNO4J7jfT8U5LZrus0hGpZRIN31kFi4GauLdyTdi9Hluj/2YQ6/ejYr6f4ujA3gqcWzLtdwiwCdMVnNsXvoRe014rED45LxrKByfU4/fSKo0d96MBRv3R/THVZ/6x5tOAy64Xirbzze6BqWlP/j4FQ8W9jU5lmFaDLbLuncgDk31qT8BmQGZwEVRrdkh1F5CHDJ7GNKjgdGSfUsEQA6u9zb5bm+11YywNhcP8H8RGRhaN5L1/7H0/P4+fRUbj8gZ/OM2nuwe86ZI9XLdOPuGp7+O604t+Ms41utNZ0CQ/1+BCt7Ph1jTkZbGm6w/sijp54yazPhqh3X9NdRATjuexl9bTPoADCfwdCAGFnuCOx+INV1KfpqCQ/I7aqX884GGoy3MuLM6kh4XRs7TX0usBOiUT3eGnipWn1zxTW7B1xWXxpsWV14OThDrQ67+wLQc5Lyej+PWwbokvIl4WfSkJuaicnxibjz7RfxCCaX807ktSXbCcpwmcWZXsOU8yWTrYMNM58I7A7JVEvNo6q85z76x82IagP0ctmJw9ZrG3DfxgaHMnCuWi6M1OezAL192i176ote+cziCSKxK0sdcXUUlh6LXz8dlRn3waOppqeuZBwgfzQpZx6gi+U14OI2HO+pHUdUtthdIZsJT7vJuBt2LBb2fjDcAP3N/mGHavrHFLSB7S/08d6zeKPvWbzZORQf945F1+hSrO+xhvk4fjw91XAKwyYt5m5J+RYLGyiaYxeQs+5+Sdojx73NFdAKqGewe4GYU2Hc2ium5ju8NshRBP5Z++wyJgvIfzp7LvmPGejBl0zNZT9czJzjqNVCqweA++w27gD8Mcss1HtnWaTd9wJ8477nuCp/CwafGB5WHFZtNybW9lsyX8wOY+PIKwNvR5463e9lgk4LLdKA27Y7r1hsrZ4iDkvmPVm8HHeYm0CN63JvosFplwnH+KrqdAw598u5A+rN9S3V6ch4anRy79TnrJtifRTz6GJ2WD1f25RbVv1eNTtOvA5jVGCGFht1+2KsLKzEUrnvdZ9dtAkn531Wrvvta1djsPcrgZ0oLMAWm/ewLBLQW8JbulOXY8w5FUfk1YDPgZa7ANspOM+ieytsvQfIDfRZO+2wOCD+5SXJrl45YDfw/R0DHfmO/JeRVy22lPEsnhDQn4zGh0/GZMLB7grP0FMn9/6I4AzTbL4EdvrnSPVHZnoADuOrxabR1RxvBfgPycFTj1O3P4s378PoIwHIucTk/WPxZt+ILtJ0b9wbiTfvDcUbPUNaV/Vhx7P4ryfzMbe+rUk4Vkpj1hXQKwrbmHLEUs9zMg0HHnCnY646Pt/zQyE/S5nOg0QsrQdCK/aK7BerF5NnTBY1YPC3+u9SDPw9tddyewy9dOruHGhpmLq2zWRYBnnO95DxgNrS31Je9Xv7ZlhcdRl1R3F0uO/XnON2cKAQCJK3anfdYX4WV/CdlOYFdCQ7dTpnuJnlDwJpX2ulLNG3WgspSMkVs7eFZtpd+N3N3TawG+i0z1SXb26plcbPaqkRe91cV1sNoAv8q+uu1ZlkW16NzaUCul14gA3QMem4eG0jzkc72YlPR54+u/rqbrORebcZl7FYja/O6jy2W98A9D+EgjJ9X8RAn2fQAbvZnYx79s/TfS9wY8bpdecvQjKS7J5k+yXI5bo3cl2hGTO6JXpNsLWNpkriu8UGuEvKN3eAznw6kdgFR2DlupOKE7Cnmpw7Z7F9+Hg6PhzkPV8Gth349wcnc7ot22swt0I1GZtFsgv0Xk4BkwN2ZHuB/I17Q67TE+iwuGKzMPy90XizdzTIyr/WOxJvdfkQicfzO3FwxFDMudn9pVr9ZSkOkNX7TjAKqFlLFzMr8FJxVkDMSG2CGRA3D4N8EOihkXJfkl8lhBN1NfhSpYMMugK4EnBZY+u1Zbun1dqkuWKuJ/H8+NRx13TgeTCoZmfApcCaAy5y5rVPDiC79UYfnYkuxlxt0jlN599NqZ9gF9u3Ad/1uV13OfC5qspg9w46HgaN2y7Q59hq5t1x2nHlzer0zzcVnIH1Ld8dc63wDHdYXCyfARoeVDD6Vs2oN3PqZneDPMMzWkgB4C3dC+SwOf87VHSWLDzufCsKa3kP6Knb2fX+w39xoOKXDdAfd3/pjHtXLZ4w0KnRq81WAMeM6++qdpplO8CnHm8AfudjDboUm/fdwoxjmSN1tyKvrXYZ4FWeXWzuQI3rdb+2A+/vqzWHnIfd+Xu5jIL2GoxO9NURWHLuMLp76YRkXr5azK73By3p5cAP8Nmk4q61lMLhGufhzegGuyQ7tXnb9Wb/eLzZP2o27x+Nt+6N27i7x3sGu6T8venoGt+I9V0Msud2xgEmu5uDaQAAIABJREFUgKtUW2bXASUpOfXAJc2dY5dx1zCxwSzGb3uPv6d6O+vvqr3N6qfyAZDoL87OZQ4Cbh4QBXYeGNTtmmZr66ur9j7NwRay7mnQAeQaUZUrn458Mb8NOgMZZqfXDmj5rmQ9oD848/z64bF6yjjL/D7y3tLdrw1k59757BBZn4sk6zPYHJcdRpfbvuOeuur0LdfuAP1w91DfEZNvbsfezq7MOJz2MuWo7ysVt7OBpC+QF7uzQHJHQHe+3fHYAroWUQByQI8x1+TenYbTBppkdfXSabUh24nIalZ9uZHtPAAcmpl2Xz0lPDU773OIw3d/vejeeZ/d95Lrg11fKNMuZs/JNQ+xXDa4Oy9HX5fNOAZZAHdNrHmgJSW8lkJe1EmqBfZXWM/MqClOe8PMabj5Pdfj63Mc2vC1a3PV6ynXq6eeSTlKAB3JtPhdLC3+YKATlnlsqQ6Lf/B46iWAG/xjmYlHynuwxTl4y3h+h7Ybn3H8stmddpvddlpqkuk58FImHBIdFpekvz8Sb94fjjf7xgR65Dx1O0B/vc/gx6j7qGc8/vRkLibXWNHkWr2YVj3sNNMAL4ztOtyAL8BK2qczDkD1HbbLFuPXnYdItu1w+wGy2m4YcfIJvJiiAK6jpGnLnZ1n4o2ATLXf6rXDMj82aTnc+NNcHIlMx5GH1fOBIGPOgHY97/pdzvw+38/U3NGporBIfhiSgwp4ECDV+T3kuy5qcwI2StjRljPrl8yXjM8eevXU1U/f8fcAP7V69dj5DjJ9V1NtPtxRDnxbSAbQw+TU84BagN400Mm/b29izuXUmuQ8/fUaYWVsFVlvJndwBslOrb6oul09do5eXrCEN8DN5HLbF2jBuQ23tDgfXGZ9p+ok4+cXYmZiJr77r8+8/TVba7VCCtnu64rGVUnHAXQuS3d2uifQm5XPHk3lczO6zTjn3Ntcd6T75uy12J6z5AbsAHxr7usgCadLLnv21XXwoiU+CTlqeMVf2R+nLbA31GLbnGM5JMm4YbXTqNE/ekRYxm0zwM0wi0GOQWfwC8zU5oRnBtKkU58dkE97XTTrpVg88WDcU2s53qqd8BhwMLnq9pFAvgNkSfYH47pToyPZxfx94wZ+gh+mp3Z/q2MkLg8sxIOpjdjeP46z5+dmeHrvADdnykt+V2+bz8T+sDd1u5zzI/fNcdDVP7cZx2cK6Gh6jten2dqDyQnPlE9gUPMe/x5uux4GJ2diddiYf78BPKm4DM6o7malM4k53HZYngdDDbjUZydmcx4AqAJLdDM6zK6Hglp2JwI+wJoam9L/PcXqVgGtpRWW7DwAzPgGfKXp3IIr570AL8NOK6b24mDnwFdGYzHmMOEAs9z6Tb92m82mnWT7up34LaKvgD776yThmGZzPx0jjiUTS5poq8EXknLra0uxtuplkXbivW6K9wCvwjPznnJbIRu/tOpr3kCXUSfDbj6W8l5RWRZQfP+Xyw7L9LXy7tTrSPgaTeX+sOfzeNDt8VQbclmf5744S/aL0XfnsgIy/R1Xmn1xtTfOJ7Z8inT/i5h6c+FrhWYAPQ67zLWqtzPPjsTX+9TzeW561eR8tj1302YeoF+4EXPzt+LKEEAfF8iR7zLfZLxZzgNwRlepzwE9NfuHeRAj7C25zqGMAz6c0XW5l1O8+3BSUVjYGxnvOt1DLpp2uz8Zb/QO+4LZHwD6IZty9yfirR5Y3OOuMD+sDuPTmnubur1nLH7bOxE3hhZjeYt02wtfGYqRZC9m5k5irdpftU+eY5+1LsogR3LDzoBYs+9Zs/MeD4gCu3r57L/jwSFgA/5Tv86Hhcw4AfxU4ATA/B2AauCfJms7+14mnKQ7303G1wMgfwegi8GzVgekJwcnAit3Lh4SgHZmfFIPENXl2h57ZPbOnLzOVt878px6LbA42Nc4Kz31g+yh8xqAF4sTmkGiC+jJ7B5bZVZ9O/Y3EvCS8QC5eujU6rvKu++t70gFAHTX6a7RkeVk3Omnb9NT18GMG9oqo89W17RWCgbnQYD7rmt5Xcwuw01jrAZ69dmR9MuLdt25Ly7O6+fF+RXV5mL7eYZbpuL214Ri2BvnTTPU6wb2Fa2YAuBcDLkoKJMRWOp06nOxOzPoYnf65R9nEo5k3GfZXstx1VveHafFE8quZ45d46eZd28ZbhV5tStPfd7k3pH9TLfRT+cUVZz7ZHdOark8MtK47B5XhcVh8AmBW6bcEzP3B5pVT5YfQOpP+agmMTzfn8z10Nk7Z0Ms6biU67+U74D9bVj8/kRTnytQgxknJh+JN3vHNACDnNf30p1/o3dULTik/Hsdw/EfgwsxvnwQhxh1z18IkMhw1cg1yCJJfazz3KsGL8kPWH1Rcz8XyAVc1faVa0+mTlUgZaC/aabnQVJgrr8rSZ8rpwTurL0NdOfeeSBoF/zJqYdm2gI1gF2APzn1aCuRWaXnzmzKyXyD4WvG3dNv/Dw9Ma4amoeDFEA+CHg4INOpzQX2/LkYHeku5s7Wm1pquV8OZi8nvoDPHaBr68zWjubVNbOerjymHGBXG27TAy2q09e3xeiwvEMyludqtZGKW83lFO0rpWB01egl47mb0VdW1sIM7gUUtNKo0wH22uKq7jX8srK8qLTc8vJySnrc+Dktirz5l8sxQPy1L/vp2VID3LTWWiC/pM0yqtN7fhGYYVdcDrBU3PX+HUBe46mW8KrR2RnXsDSOec2gA1aWPtboqtpu31jGzyLtSc+1rq1ZO/PU+pLy2vN+PeYWbsclxlTZEzc42WqnPTGY22W8W258p5x52H1CEh7Jrpo8gzIEZGi5EZ7htYw4RlQBtpJxjsHqNaYbYRneb64JAR02V6sta/WG3ftHBf43ekatBnrG4+3O8bh0bya6J1Zja4fW1rnip9rzlu001eIJ3J9o0fE68+5i5UzVFUvrvWRnfVe/a1CL0fPB4ZrdDwEBnLLgxDW2Ae1aWw+Bpi5nIYXZvcXwPCjsttvEa19A0a4EDPZW3Z11erK8WP/AjA7IaLcdk5zL9lpJ9QI8NbyPd8KgO4ijPZifdNyBl0dmkKbke0uyOwUnwKeML+kuUO9Qt1u+876Yncm17Knzc4HcvXP309U/XyvQk5Jbj401GL9m0t1HVy8dBcBiimXWQTOrviCwy2XXxpkEvxjdrI6Ul/vO5NvCSlO78xDAjPv2L5/FQM+X6qOTeYfRWRYJwO/3Epix645sB+TKt6vNdlnmm5hdG2VsxtmQc8bdplwbyNv76MXISsTN3XgJ4JV+80OgDDvuL/fcJfmR9vx+Ap0jmS6ODmmDjGtxp+Jarx2HlaRPhhfra6+cGd/9cwNaAGcctVkcCeAdb9WqqQdmegFbwyzJ9gL4pBNy/RMCvEB9b9zSneQc3+l1243PaL3B8oBd5h2M3zUa/9wxHl8/monJlYPY338u4ABSAMhlFs46vepsVkll0k5LKnn/jFo/HwbJ2gVoQN4CerG8FYEYHOmfQC9G1l2yvcBNnz+BrTs1uttqAFUPBf6beUhpyo2HxUmcH+MHnMbZyWmcCNgGMXW4JbpZmr/FhBbDI0h5PxR8r9cFblgdYAvcysxjuqXxJib3ARGwvBid8db9GnJB0u/F3o4n3ACvEnEAfIfcvdmeuwDeBnRkO8yumnxtS2CG2flZ4AXsxGE3nH/Xw2CFHnqLzfkeG2Jhf/fSqcl9AXYAzc/1WgBP0DfsnrU7jD43OR3f/pkDGq4K6BpR7flDAt0gB+APuq42RhxgN+AdnGlJdhtx7eBuf12OO3ePqRY7z90QgG3QvRygcSbeUVidqd6WlDPo6yHQGnOdW7gTv39mh5w6nZHUkuwGu/vrrcAMaTgzvwI0bIrNMVW57fTN7zs44/CMW2uaUUfC97s+LybHcNNOuWql8TPrqPpaAEeu1/cx4gB5OfZv908I5OXIK3TTPRIfYNT1T8e98b1Y3jrQjjpqa0+XeUsNgBerV52dARwAXyYbCyr5jmS+jDcDvB3o7fKdB4EBfRQ46rA6gFUAh9enNudcp58IrJb21PB+ADDJJlY/Pm9qeU234bwj36nRj898PzyNszqIsUCfm2c4oJFZa4ImSH0eAsXoMHYxfHPXYEsbwA/2VKNrgk1z60cqA2ipYdAZ9BmFxYzb9dJIh2gAO202s7jubRn47YrBqs3GTDrg9vQaoGabjAC+viHw6+c1jLoNrX7eWNkQ2AF4XYAfMHMBeJlyzQYaS/h2l10PgGVk/ZIl/IIXR85MTce1P10WkCsGC+hh9GL1hx2YcJ/JiJNsB/g6gsnZdybVALuZvDV3bpAzmkpd7s0y5b6/4tZaDqwo2npNLnwxdsP2ZcRxtPLUX7VfjqQcn9ccu1if89vyoMW5+c74/ZA3wJq1WxFXM3fKdJZEDrKQwvd6GLBLroCuxJxc9jqnbURtNlptAr8m2YYFWk20JXOXbHc4xksm63Mxdz/9dMAOqJ2o08MAQy7ff6sHQ++pWb53NN7uHY+3ukfiX7qn4uunizG6uBcHJMrOTnyd4qDn6a5Zb/Mg+NtZnQvXAjdLIw12QP68eQ3jY9Zx58HAsE0BXUAtltbO91IUZ34QtDE0QC1ws/VVkdlT1/r87AdAPgROjuKYmfYCOgCm7t6vupwlFZ5Zh9EJiqwvLAvox4fOz1uuZ3gGyc6JLfTLxdIHkvAwtGW7P8OUU7+cnrnm08uIS+cdoHPeOoZdTq/xPTH6zm7D5PtZq8tl15YZT68pLCNQA/Ct2NjY0L0B+2prsg3XHXCrLk9jDpAL3POVkmsl5tqBj+GGI8//LrD88uJaC+jzyzE/P6vdcdf+fCUeplx/wiw66bieLyXZWQMNuJHvgNk5d8+l8z5bXgG92mmk5O5+JtddICcdp+2vgL8uy/imRtegiur0lN/U4uqvv7yEQvPp7Jmb+S+velairqS8l1JszN6IzbmbMTN/N373bFhmXIG33HXdMwKLo26Jnoc7aPWU23DKvjfDLqyXwn33rnecdsZP5bizHLI/220PDFyZdIyx9o9pe6x+RqLfm3Ddfo8HQ70eVyxWfXfGYNlRJ/Yfiv/r61vxf/77jXi9cyje6CZKOx5vdo/EG10jcaFjPC72TMW9ifXY2DnUgkjV26yMZqa86ZHD8OcC+8/ntOqQ+jjtsLrB7rreNboAnmAvhqc0YCwVFgf0VXuX9C5Zz3eUfFN/PcdWmdDTw8GtNf0ubK0euj8D9JLrmHFSACeaXmPunDrcCyuOvE328Fg1rUIzh6cB0JHsTLu1+unHkuhVqyPlWTBhWZ474lKmA/SjnSMDffewceB5KIi9Md62PfAiKa/ptl2325hbbzPkBHQisCye4FrbiPX1TbG4HPdGrq/pfVpuzXw6TrsAvtkc7ADIdXFkkxg9B12S4SXlkfDtkj3lPYyu/PvColZBz8xMxTd/+iwGe/8tHvV95XHVrj/Ewx7Azv1zgV5ttR4OXeQE1asCN0AvsMPqgJ5LzJ5LIruVkKsz1wrsl+KVhrFrFxyG3DyrnG+qVtfnbI5ZuNmMpcrAg/1nr3vZBK47WfnZ61odrfHV+RsxM98RHw+z3nlUI6qwunrnj+iZ46rPNG01Da9k5r2OWJYJR1vtUa6BBsAPnX5zxh1p7uWQBiaR1kmDtN/rpCTLc6hFa6ZSztc22WJ8Vk8pIot0v1c5+aH4+2874v/4z2/j7/70fbze+VRSXkqgbyReT7PutdvD8S+dE/HNk8WYXT2Io2O3wtwqc0b95xfPdVgEG2hhdoE3Y7YFdsAL6Llj1GmcFUbH5T8lOOO63vV1LrU4MYtj8AF4yfnjcy/VIBRzajAj9ZsHg/bH+4FxcuIyQLn30+M4PsZ993CLau/9wzg/8OmqAB4Qax300aEip0vTk5LsAB2Q8zDgO0h5ja/C5pmMg4UBPfV5w+j7B7n3/TiOYHRAnuOsABxQC9hIdcBOBJbE3JZ/dm1uU476Hdm+vW23XWYcAN/0Silku9hd8n3TEn51M5DqGHEc3ADIV1hEQR99dc173mF4TlllMYXYHdPNV1OvL8Dyy7FKoEa5+OXAedf35mzKzc9zYst0fPOnTwXqR31/jMc9X+k1INfGmW6Y/Yu43/l5IOHv009nRLXz86BPDpvz2kAnHde6JNNrhRSMfvtSdN+6qEuLJ9Quy1CMXmd4Znv+phdM5MCLYq+seNa8uWW7a/dvYjvbbNsLPjZZjD7XHR8/89IJwF5jqtTbAnOe1qKIa2bZmTmXTNfxyrl8QkcyYaw9k8Negyza/vpgwltgubMgUhNsWWff57OJeFPsnMc5sYJKtXotsRjRNNub957GW31D8UY/WXmbcwD7f//36/F6xwO57zLoGJTpZUjGgzIO2IzG653DceHWcHxxfy4GZ7dj6+BcIKNuVpT2+Vn89OJH1eMwNye8CtAy3p6nbHfcFbDrgAnV+bD9i1aQBpeeoIxSdwY+TI6cV/2euXoZb6f0xA9deyPTj86C2hq29u+Y+Yu9+R0FabSUwvl4ZL8z8MhxH8skxt4/VhAFF1kttDxyuWpygZm2mrLwluwFcL7v6Ktrcd4v5tZd4K5knO/U6IB6b+9Atb0m2CoOi8u+fRA7TL3lA2FLSyO3gtAMtfcGq51ziGVr1T11BWbUZvM6KffRV/QA4PtrK2b15rBFzaR7Sq0Mu2LshtWXGXhpPQhIyLGUAiOOzTPsj/v2L5fE2uqjJ5PriKauL+Jxl9NxA50GO8Mt92H0bsy5z+Ne9+duq921jH9Zqn8azKML8Do2mWQcNbt2xn2j+XIkueQ7xlwGZCTdYfLcJuNwjDPt9V2xu0Behzc4IYcimJrrit8/m4gPBwxyrXd+Yjcd002G2yOPsfJaANdcOgDNJZEPRnW+OuDm83dZNPHAG2MN9Kq7E7j9zzySSjqOMMx9x11l1BGqAeR9z2zA5RYa1+Jjku6v3xuON/pH4vW+4fi/b3bH/3L1r/Fm92C8erM33ux8ogcJTryMO/Xcx/IhMCxZ/8bd8fjX3pm4PbQe82sHcXJy5qOinr8IpuJ0vPP5SYjhGyOuZcL5/fNA3telARvFYwH2uVibhwRgteNv4CLZdQnIrr8Br2r6utNey0u1u7bR8N6xZDug53fKZTe7nwqwaqMx0krdnmeoT42OSorLkVewxqwNc0vu47gfHKulVnU6c+6Au91lV42etbr759TkzrYb/DbjxO4cJLFzELu7u1o2sbOzp3isY7K4767bYXeZb5sw/Y4ATFAG8833BHyy+doast1HNikhl4yO4VjyfXURU841uOpwWmgsnFh09h2Q8516ABjkM7EytyrAz08uxLU/X1SNrj46tXrV50j1ni/jQdcXuqjXH+hKBz5ZvVx3ZDusbbAD8jTmmvq8TbqrVy6pnrHWDL8A4P+2BFIHKl6XrOchANhpp8mM00mqfPad6nOkPkD/3dBY/OrRmHriTroxnOJNMuW2M6RSphvsLmPuEXX4sFtpD2B5g18Ou05sGfF5bf3umTs043l05PiF+5NePsECinTq9f49avTxuHAPJudYJ++ce+uBAavkHKOsfc/in27fj//1i7/EP/z5+/iHv/4Qr3U8ytisHyJqv/UOx+s9Qw3jq/feMR6/ujse/3l/IcaXdrTYgr67avHGjYfhkeqtvrlrdbO5Xp89j5/Pi81x9ZOJz1zfV03ue0p7xWJPxcyS7Ryz1DaxJhe9rY3mz4i40l8H4Jb43AE7yyRaoPc4q0AN0A+PYnRoWKAt1x2At79ul+pi/j231QAsF/W6DTjvjwP8Oj+dRRQ7R3Gwd6gL+U99L2ZX/xxwOzyDlIfR/bNBr2w7QZmN7djc3HZrDZCveuuMpDqAlxtP+yyDMtlGw5DjhFWdspojqiXJlYAj9151ODHXupDrvJbbjuNu1x3A81qM/ueLZvRe5PpV1+btkr0HoPM+oDeTqza/+5nl/B3PqAvgAP3OZbF4sbtPZ7kYXT9wSgsOPAc45Hnn7Yc4AHLeF6PP5mJIRV5vBEbbls5aa+2Z4/u68gw2wM/yicn5nvjd07H4aHA0fv14yoMtnLumU1va5s9ZLsF7Jdu1HNIrnKt37s84jslGnAIzHNyQ56db1ntPXNXlqr+LtQE/Cbqq0SXBrQaoz5HrsLRGXfns3nC81jsU/3DzXvzjjW7Jd1z5t/qeSilIxle8tpt63fPu7ruPW8p/PxSfd09GH+e57zHZ9qPATrLODnuCP49rMtBfSKo3bJ5TcwXyktzk29uBDtOrjj8+tbTXFliDFxCXPK97sfqLo/PGqQfQvE+tTT0P2AGt7x5Pdc/c4OdvTYyOSVJT42PGVQ+97hhwlZA73XOopoBdbnwxe4GfO+AF2DA338eZ93Xowxd3ONHlILa3qdUP5cAz9LK7ux87W/ticEC+seUaHYd9fd11uMCd/XTqchi+pHil4sTgq8uqt3mthFsabu3SXKxeUj1Bjvm2uLgoEw6AL8wtBocw8h4bYa//6WIwqcZMutgckAvoX0qiY8jVZQPu87jXcSXudXwW9+5eCRJwZcIBbgO9xd69d3wMU/etT6PrzkVdr1RcVWZbtdAKuNwl5Rl8sdmmHrvY3HFXgbpisGTj526a5ee/i4m5TgP98ZiWQ/5q0FNsYvamRz6SNXmrNpcLX+ujMudeNb0ddzvtcttlxgFi6ncDXQMs+bpVs9tJB8DurTv9plZbAr0eEOqla+gle+7I/6zJ1YLLmKxfowRI0BGsGRGzI/sB/utdw/HmD8Pxz3fG4trTpZjfPImz059UqwNqandAr3uGZH4888OAzzHkuEqmF7BriMXgtuEmkMuwa+XckeMF7LoDZDnt1Ouq66ntfZUDX99tB7oNNoDsOCx3/j5nigEcgO3Em4dYitVdq7fkvCW7AzECMGuec91zAV3DKxhuO47K6v2U9TA6kl0Bmm1abAY5P0uy78Dye2q5Id03NneznWbDbWsNCe+6nXPZ3GLbkvGGKace+vK6pLoYnJ55E5Bx/d0k3wC42HulaaXZYV9unHZabgsLuTxyyae3fEMEttfLJwB6gR3J3phuXVfF5sh0S3WGWwx23RlT7XDrrE/R1xZ701qjLi+Qc9dJLZ468xw5wyiqxUuSA3TtgcswTTJ9O+sj3WF/mXfZWkPCTy10x78+HQkA/uvHE/HrR2XMOd6qVVL0ymF0sblPdRFri7mdfLN5Vww/3GyVQcYbyF4PhZMued6Mqg7Jpa82G3W6Gd3741grhXRXLd+k5AA30nw803GOzwJeMzr5eLO/fs6HhB340Xit96nqe5ZZvNY9rOvVO0/jwp2R+LeB5RhdOorjkxc+6JF59xcvBHa78C0pr2Oj2hJzlbwDXADd4LdcF2CbsVW76TwUDFgA6br8ZSC33jf4W4EasXOyuQFrYFqWl6vuiC3jlzAeSzBk0inX7oQcoGaZJHeFaDIVB7D1UMhRVTF3HseE4SZXXaOqKes1k34Qh9uHsb+f7M3v5smrBjvvH4rhkfCk4mB0sXr2zcXkSPnVbbvsGZjh/QJ5AV3GHMshxearYnQArhn0RU+ryVEvNs82WtXmYvV5t9YYbBGzq49OYIY++heB694Cuo9lAugy3nDWubropxvkdRezw+5qrVUfHaA7LFM99K7bl6KzGJ2lEbC0Lja/MoE2a7ALzOTd2ybVaJ1J0lePnfXO+Z6OTp7n6GSzOkD/3dB4At3S/aPBsfjw0Zhk/IeDuRdORy8NBz1zzDZALzNOG2Qw4aYaWa/lkBh1Oo/NrTaOT5Yxx8mrtSeuTbLjvBvkKe1hdZx4AZ+QTEZgMe/okSvrPtw8AHh4kInngvUNeMZZE/C9o5buTMD1jsarPcO6VLt3j8Sr3SPx/9wZijfujMTlnpnon9iJzf0TnwuHjH/+k/vpCsjgwGPOeZqtGN0sjgFnJhXQT3IxBqOzRGJx34+qVjdwxdbZYlPdzTpopeJs0vEw4H3q82LykyPL9zLcqu5u5DiHOhxyFPORNq4QheVh8fL3HILhvboEeEBPe60tCgtjt7N7MXvdK0yjDPzecQZlHJhBqjs4s++NMzt7jWyv+lxAVj3OgkhObAHs9NUzFru2FZvJ5gB9bcWMjpyH1anXxerL89k6W4zlZSflGrAvLYjFBXTm0Vk4sbDc1OiS73PzMTM5FQRmSraLzXMcVa207i/UXsOEQ7Y/7LjaAL2R75pcM7tTj+Oyc3dt3pLwMDkGnRhde+BKlpNog71ry2uabe6RU5/bkdfPKfMx7BpGn7sZq3OYcdTx38XkYnf8/tl4/GZwXIbcrwYnBfBf0UNnOo0VU4M+TRXWBtxy3zldVbvgADyS3kEZ5s/1EOgfjvdqNLV/KN69/0wHN3CGOuyttc/cH0y0lkIK2GPxLkc1AfBcK6XZ9T4zPf8WrTM+l3xXT93ynUMiPOJqoDP11rA+0p2eOrl4xmD5mUBNz2j8U/dQvNo1JBmPlH/r9lD89tZ43HiyHsubLKT82fIdZufkmOdn4c0yluzU8jjrMLl65NTeGbR5fvI8znIE9vQ0+98477nqmXabQAywU6oXyEm/FbDrzriq5DoHNtAuyxBMARxgS8Jz0MPBrkw6AENvmP8+Mfi+l1Rg4lGbc2kBhdZFHyWTc6ZbWxy2knFiaAw3S3b66tVbV6Bm70ihGcIxOnUVkBOUUe7diymQ79ubXjFFa42+OUDHfRej57pnkm/IdsVfAf3qZmwtbcbq6rqAvrLsGOzqaoI8o69idKR8ynbX6Eh3ZPyc3HeDvL1Gz93u8/M6XfXaf34uRmdBpIHucVWku5x2jLhOX2L0DqfkkPD83NsJm/tSjd6k4QC9gQ7oAXjHnU+j4/an8Yqcddz0GdfgjbGWibdib7H73PXYmvXQCkMsxGflvGdghp76Ghtm5r+XOYcZ9/GQJTvSnZNaADuMLidezG4jzvvLOjo6AAAgAElEQVTZR3xeuqKvBnvJeEBO1JXIq9JwlYjj8EVNrjnKCtDZ8iowKy1nYGO4uc9OhDWNOVJzcuhH4wLz6n1DkvaAWNti24Bu8y3BzpaafgZfXLtf6Cug476Pxut9z1yfdztJh4R/teupwd89EgRs3vtuOP7zHq78UZye/RgEaVSrszySuv00ga/lFTnYcsJDALMt++aqyU80Iw9YJcGpu3MmvXkvU24eWOEYqecNyNtlO6+rJ2633WYc8p0HAA55LZcA8DxQmA7jmCH+dvXQaavRghPACchw0VIDuNzztSQ8D4M98u2HcbBtFWCg5+ttS3R9zgaa/J5ScrvZVsOESwfeQDdTU4vTDxeYAbu2wHLe2rrbbppas0FnJl+NderzHGoB9GJ01emrCsAoOJNHNpnN2+tzavPVpj4vp51FkRzgsDCzoIfit19fUSpOrN7L5Nof1EajR97fk7V5D9NsWbN3Xom+Tgy5L8TuAL2n8zMFaAx0szkg9zz6pei8/WlzJaN77FSx1eyHN2AnEguLZwpOkh7212KJb7VZRj13nHlSckyuqe9+U4w+Pt8Z//p0NH4zOBa/Yqy062G82fVQIPcG2FEx9AcDBvh7D4bE5DA471WO/f2Hw9omozZcAh1m1ukrAL4f9q7DG7L+LmbXFBvvOQpbD4CGteXCm8F5YBBvBbjtjI5cp27nYcGdZRZV12PS0YeHveW8E5FNNofBZcjhzitF12L61+6Myqi7fG8uHk7txM7+izg/fZ5gt1EHYJHoJd8l248zdZcg53cw4jzQ4sUTBq/76M65HzdTaZboDs8Uk9cdQMPagJ01UmL3htXttAN2bYQ9YhHlsepppLtq+TycUaul2oB+cOAaXaxMO22ff+P4JbleoKc+Lylf79XPKAYALiNOTG53vkBOH52gDCacZLtOU3X0tXLtRF3F8MygKwlnVq/aHNmultrKemPCAWgZc9Tmct59fDLM3QI7SycAuo24BuR1UovOTbd0//6vX3oLLIzei+PurDvsDmNTo9NWQ773dV2x004PXYx+tXHgYW3qdu447b7D6Jh0BjsgB/TN9Brghr0t01+eXGuAL4l/o1WTL1xvZDtyXZK/jmqauxGjM3bdfzM4Ehfu9Mdbd+7F3/3bX+P17zp02CJg/uDhWLx/n7BMmWxmbWr19zhTjaGVh0j26qOPqQdOXS6GL6bOmlsMjTRXGo5jlEfiwj3LcV7zud11ZH2m5PT9cffX++qBUAk6T7TZeLOMF9DVakMFZFtNYGaFdII5W25y39V6GxOjv9pjtmehxasdz+K175/Ev3RMxQ9PV2N9iz3wZnJA7om4FtgBsHL0CsvkuesCvOtyfgcJ7btbZfwO75nd657OezK9Bl9yjxyAJQmne9tEWkvG15opH8MM+y5Mz0u2A/yqx1WvM9RS9bhYPIdbktULyHVXTZ7bZvh93td7zKLTcoPxay59e1+tNLXUGum+I6BvbWHEeb68JDtAZ6TW/fNVp+RUp9uFd759NffEcV9RFBZpLpCvtMZRiboa4JWAa9ssk31zrXvOo5rm5zhgcSHmp+djenw2vmMLbN9XurSAostgf6jgDC22Csq4Tgf0xF8l49OYg8mR79x7Ogzy7gS7AU8qjl76J1mjl7lG75sLMGd77SXgw+yMsebn1Wev71Zqjt9fV41+U0BHur/fcz/euNkZAP5/++zL+LurX8Wvn06qPgfABWgAL1NNm2NG4n1YmXqcVpsGU1yzS6pnxp1BFg2zJLgF9OyXA2jADeO/SzgGoOfyCRjZD4M6V72lCHDmMeXqruy7llN4wg0wlwMP0AGzWmwwebI5cl2gb2Ny3oPh+c7r3c/kyL/eMRSv3hqK938Yjj8/XIjZ9aM4O3kR5+deW3WuARizdrXQqt0GiG3OWa7rcxl0OVOeKbcCuZneEh9Q1s/F6Nx531cb2A+dZKNWl6SXNPcOeViaJZEAvgZi+A5ARbLT++aubLtA76w7DwDqd901seaHghz3Anj20wX27Kmrr4583zmyCcdAS/bcLdt3GjNOO905pGGDwxtSunNHutM7X92INQZeSMOtrTd74nDcy4gD5NVe4+5DHAzw6pX/dyZf0AALm1+5dIrq7LTCMuzZ+/6bz+NJL447ffS2XnpPmxGXjrvy7sh2wA7Is5+OdJeE77gsww3TrYy33ttm+HLhxehy3fOctQa0TQLuW4G7cd1nv2uA7u96ak0DMG2BGpUBczdiZPZufDI8GRdu9cZr3/wQ73c/jH/887X4uy//R7x//5mBrvYa0nxUzA7QYWsu3pMBd5/6fCINN+7k3u2cu24fS7BPNrW5XfUCek645bw6gAfomHa8Vi+dyCzgTtMOma4HBRNsbJEVc4837jv1PH8Dqa9WWq/75tVmK2avh4CZfUgpOr1OWS/wA/o7z+Lt757Flb65eLp04N3yDLM8/1Ggf3H6k+R5q3eernqe3mImP/P8eAIWGW5Aw/IMv5w3jrvAnbn3dsC3gO6EnCR55diJtVZa7sD9dACNdOdccn4XsGu4RYbdiWS6avc6cz3n0pHvGk8l507tvZcpuEzM8eDgaoHctb3CNTsZqIHVszb3/UAg18RajanqtJaU7+m8W7p7qwwgb9ic2nw5HwCaRbeMV6xVKTnm0D2lVrIdsC8uLusC8PTM+WxhYcksPrsQczPzPjp5ZjYmx8bjFkcy9TGe+gdJeJicOp1LU2y9ZnUYXO020nHZdgPo7W02R2BtwhXQu+9ccQ+d9lrW6q/oLPNy2bOVpnly1eI3xfBrs632G4wOm7cupt3It/uC0UsZDM12xL8+G4/37w3E3//lerzxXUd80DcYr3/fExe6B3O11Ei4Bh9qnHSl3XDgH07o+uCBwY2E10MAcMLWKIBkaxltmHIaQ60EHN9zNl4PkAJ1fkcrqOpvcUfi52IKAZ2oLOxOyy5BLcArRectNDjvr/WOxWuwOu02Hgi93kwj5u4E3LC+72L8ZH7et1E3FK92jChNh1H3cc9s9E1txZ767T/JbCNIc3b2XCuszOxus5VcB6ztgC2WBny85jOcdsDuz1yP/7fvZZtN32caTauezeiYbwXmkvb8PqeXMCnmz06bZZIAHAAX0DXIsrdtFt8/UbQVMLfaZ0fa1W6QcxxTLYzccUKuptuS6ZHtXjpBQMau+9bGbms8NR13gG9G31DG3QctrsXaOtNqBjoMLhOuATogd6sNmd6wep29lq47SyAXFpdjaYleueOuct3nlmJhblkgn5ueEdBZOkF77c4NAA7QXaMDcEBvwF+N+72W7gV0QF4AJxmHZAfstNuQ6TA3NTn1eFcye8/dzwIpTy+dy8m4WhYxy6pmL3dcywWPgFhAR9ZP02NvAZ3++epC9uFpzdGPn/P3AfvQXG/89hmttZF4u+ehWJw+Ou229x8Mx4fU6AMJdLXU6KNPmsmVjJsQy8PaMLvd9pLc2QsX++Oam5kdjnFrDXauhwavJdcT2HVckxm8orAGdj1E6qFBOVC9dt5TSi5XTWHyCbz8rMsbZMXomZhjso04rYCPadflIM0/dT6TG/8aDwPV7CPB69fujsU/d07HrbHN2Nw/a2S8AH6OTKcmN3ip4wvs3Au4yrQryuoNsLz//NDz5RpJ5Yy1X8ydA+6S3632Wou5Jd1T2tfnmHs40bAkTA7jw/LlwGPeIdsx35DpusTex5ljJ9rqepwa3MzuWl51ObI8D3LAcVfdrjPZPKbqI5OZXsthFgVlNr3lVUco+/CGZogF551oLI782rYTcZo/d1sNsHMBci+DtNuuWr1qc85aYxccvfMlQjEwuttpluuLMTe/GHNzsDn3OSUI8TKmxscEdDntYnHY/Mu4T669+6uGrV2nW6oX0PvuYsS1gfwlA+6SanUAD8C5FJYpoCsVt2jXXKwMWydoBdzZ/9KxyWvTzrNzLLKScjwQqO85+CGlvlh+ppWQezrTE//8eExttd88nnQMlpYaoZmBcUn3DwaQ8LjuPonF4HR//cOH0/HB/Sntd8dltzE3JOPOCyEx5DDpqN0n4p37U2JfgT5rcw2w0IJTG87uPAytB4IYflQuO79vqe5aHqYW4PNgCK2fot5mR7zYPXvt/RNNP73GVwXyrmdidqQ80p5d8dTxDYN3ub9OuAaQ8z3du8fi1c6RePXOaLx/Zyz+8ng55jbMxmTltXI622OaZDs7j9NTTkj1AwAQszlGEhvgcbEx5uQoTo7O9fPx4Yl75GyLSWCKjdVGOww+57ti7YMTueyAnJqa75m53XojkMMJJ0xs8bdw3NsTcqrVAfv+qdpzFZThb2lctViapRPbrul5X6k3nbnWmkkH+LD/wd6xjDncdZhcZ62xK47VzvTQdXc6DjZXQGYTYG/apKt8u9gc1gbc65LtzKK3XHem0NbUVtNs+fJyrM6vGtyEYuY5saX65QDerTVy7QAeoGsGfXZW/XOYnQMc7nxnmU7fXMm4bLHJbFNQhkEWG3A48jLiqNM1msqmV1ptGHG8bqXhem6x4tk/37t9RUzuOv1SvKLDFxYMWhltctazhQaY1V6jx35DCTmk+dqcJ90Auj6nLbf4rRdToAB4GCx8F49nuuM3j55pqAVww+wEZT586MCMknFEXx943ZSYe2AqPngwFe/1m80J0vA+CkA5d3rpuVyi0nNKvmUvvVptegD0U9tnuw3g04IDwLB7mXPU4rTg7uH2Z4IuTUHV7tpCY6NOtXoyt6W9lQSrpmBzPQy0j4747Jj2xmuvfDrwMDqgJ0TzGq/TnHsVhofJO+3Y8xkq4B/vDMc7PwzHVw+8roqFFqTo6IPDvjC7AzPePAOL6706eSUZFmAeH56JaQGwJLWMsToF1cYbLTWB+fBc8pvxUoGXXe6spMoFkQV2/s75wanOM2N/nAdbUgHsOynHDDssLpaXk+4FkArMsJQijTjPp3u11B7ntHEg4+6hAF0SXvFYtszQW1d9vhc47CyFrEWQAH0T152023pumdnk510z+BrTbCybIN+eRtzSZmytbP/CgDP4YfJiberzpRWvb1bdzrgq7zFzDrgX5gT++flFAZw7jE7/fGnahy1OjU9Ex3euz4vVxebZTutn2YTmzz3B1oA8mdz1OS57Rl/vXPY6KUn4AjonqF4JgN8Cuva7AfTWBBqMXnU2phthGgw53pMx17Y+St+d/7aR/AJ/ttgez/bJabdcn1IU1mw+4hn1wVFL90GY2QGZ9+4PSaKr7ZYGncMyrbQcbEyQhgcEYCflVgB3rT6qBBwPCx4SMLzAnHU9TA37875+jz486TjV6Jb9VgLe+Q7TG8T2BjwYU69dEojFe6wOZOqlD/AmY6zk5LvdZxerw/Bt7vxrnXbgbcyNWcZL3o+4dr81Gh93zcW9SfrtCXYtgjyWQXd24rpbdXW66aTcJLWPzd6ADfOLWXDAjBlWUroYWPvdsqaWEkjDzSEZG3uAnTKgWJ3XAI8d79oug0xnXj2HXAA4/57+doVjUsKrrbbrB4Ffs0LKZ7GJvdvcd+12z0MdaLEBfkZRBfLaLMP8+abz7chz99IBu+t2yfeNNcl1Takl0AV4avNleuck4dKEyxNYmFyD5fUZtfmia/F2NgfU7p0vyGVXQIaQDM77DOOpMPxcTI9PC+jIdWp06nKArn4646k5f66wTJpwLfONpZAv982p0evCjKOlpvaanPe2DTPIbYEzj1cSq+chidTnG3La3XprZ3wl6dKE430rgxbgeQAMzPbGrx+PSqoz2EL0leujwQm998FDt9DeGxhSK41Yq2rxByONMUeLjfcx7PSaWj0Pbvj/2Xrv9sauK+tTH3Rm3rZlhVLOlizbbbvd7laoKklWKFVkzgQJMAMkwRyQSQJgzqwq2T3vZ9jz/NY+5wLlef84zwUuLsByWGetvXY4KoOd9k3i4yk38yT9mTQz5UMjATqxvWJxes8lySm3DRNpQv7dP4ftffEcgIW5uac696kVmW0U1EjWh0Ia2BygswEkrK7CG5h9yWfMUUMfauJ5lvlzkurBfY8xOqZdwvRjxOxL9vYIKbhV+/3ItvUuH9jO4Y09u/mHg5ySV4B+/SzE3MyI81gcsAlwAAsAh+ksvI4gF9sqfj71ARECo5+lxnddevvvIOWdzS/cWQ/vASntqvHZZKoM8hzAcz2JBy22/rZcdzG6n9MmkIfNwBneJbxq3EM9PJsKII+lr5LuKnsld+7lrwfNtg41pdX27aR+4rXtYnLA7qm1xt6hHewetrrWVNfetN3a/8Fxj/PaOYmFE1higYyMOO9Qi+m0EnKd2LxEes1jdVQP6bXxwRajuwHnLjsMPzNOlVzbRJlRj8kpnImlrwKy6ttdukvCh7FR5NQx32DyaMS5GUecHabIaFQUOfQ4UUblrDS4eJOKGL3s5bJi+eS1t6wqtg/xOr85V5y0z3NuujmTO+gpgWXqTFIRpxg9pNI4lAG2ngngD0UzvI8bQcLw7eWwqpDz5haBUFIckIfa9gBoZ3zibxi5bbUBPLJ5C8zBfSc2ZwpsKNIhJue1cuqaGutpPpx3d9/ZAKh998o6sXh03CXXYXIkvEt1SfjY8aYYfsXeGs0L7G+NrthbQ4yr2raf6IKrccwxLvwvYUSzG3EA8almtzmgBNbgfos12wY9AEyVvIY5bjLOQqGKP+sgFYAx2C6draNEj0U0fA6jt28e8TWbgzYTnaYazLhoyoVrEnsrndYaIaV4PDl/zafAavAExyXjsh8fyoSTXG96t5qmyjRdtku+Kx73BhYxfKiGS2R7WzMLJa+wOrlzxeZidIpjmkk/eiyUiSCvVesGmzvAqxqBrbw5KbVS2XPoRVi9KuCTXhsf/FEMDrAB+lzamV2TZYjR21x3pLvi8fE7qpJz9vb4XK/bDDkZcGFGXAT52NCXxnoptqUm4CbuFpN7nJ6wuMDfJ+kOoP9/K+TRkfZ7oT99tpC2382t2Wezq7ryGjb/HRNmguMer964AqO72eYMvuKptxmvoBOzK7fujCz2lhHnrC1XPulUC5VtAcxiZhl0lLgyYQZJT027s3MspIng5nn/Tttz4Tx1l/gbfuBDPL8tPM9GgFxnOdh5DdABvBfRSM4HaQ57swHQ+AJ7R5b3936P+J0qujdZI8v2zuC6fZGp2mzxzE7Pn6t0Frcc4KmEFabl9BSBi7ZSL1hBorcDuB2AipkVS5+FGP5UKuBfARvjdGf3MNb54tyLZo5Pko3D/3YEdjih5V8Arr9PUU1bvjwyNj3p3Bd7xyGRx+caOsFsuFgRx+AJ4nPKX2XChcmvPtb5UGWuxOMUxGDGUfbaXu4qE46RUQL5gUt05r4FCe9pNQw4b1yJ+XM33nYtAXqRARMVnYvOFBmq4FiS7MWSimVg+a31NcsM30vy5oA9At770Sl/pSKO3Hmrcw3JDlsDek+rAfavjeIYZ/iQYhv+ylJUxJFqg9UHv/bhkBhnGG0qgNHgCJ/5BthhZZ3UEo5CBsTtAJdkL/dYvdztzSzKt/t7VMDMVsZ+n123z7PrArpk+8KqzDmcdsw4X55mo+xVK7siJ17Sfs5LXZHtyVI5rFfJRQmuyjel2AKDh3JXSXG560GWT3htvOLzyQBijZeK6TfvSkuAHnLzH9HoMuWMLZkvs80PakQByHQbJ4fuIHeX3UEs8DO4QkDPi+U9t74omQ7YWTjwugr0LuEFctg9tWRi9bEleyO1bG8NrtkfU9s2vHZku0d+6ALtpXLKLzwOB0iSzJGxic/DeGVnb2J2T3+1gB5i6rNjl/uhnVTMfxmkfJgHpw0k/Db/5yaXzu/qWW0yoUJOp7Sct/1t3wD4t8TVDnYx/PGxF8wwlCKk2IjTmfBKJRzpNB82wZHK5wK6HHYc9wB2AI0sF3uHnHkEOp/V98ijMwSy6RNcSalhvu16x5pXxfE6nKumfnQ/PVUHKVb2rMqqkjOH1WtBpjvAS4WygM5wDhb/HW1urFl66Cel0ly2B1YXs9PEgtvufehy3sfu2oRYPUj3KOXlwN8R0GNVXGbIJTsMHhmde+lBGD3kzUmtAVwdshicd4G62GdJag0gY94Fea7YPpTLeq69x1NxHLZY6bPpzQn7Y3bdfj+35lI9nKYqFp+DpYnRW/l03HgvnlkSs39Geypxe5DxGHQsymFjgwugk5GnWB0wYuY5G2PAiZUnN1pmG4acwA6zL3mXWqhvB7Ca+R6aV5zRqbZDHSzbxxPr9vGkr9ixRiccMTe5deJrnlUMHubIsQEg7bniuMPy1LnD4sqvp1fsrbFFe3ts0d4bX3KwB3MusjwgJ+WGjGe9mcrbG0N5e3NwWSm4B7kdK+1f28XlU7F6UnoK0KlQQz4fObMLRAAMcy6cmdaK2Wk4iSzcOk/t8uzY03Cx9v2s1WOO8Ua4wACK5s5OK1+OJxCVRGhJ5T3PswE5wMMRTKTMYHVOWD3yIplYGcfUV2d5z5XzHFV4HqOf2uGBT5bhFFUBfPfIjhsnSqmJxTl1JTHdghGnohhOTaUKzqe9AnpMuMbOvg5LrNeaypW3mL3pDjvxOJVwGibhRTLVWt1BDnMXalYid1500BfLgc0Lnksvra8K6IlcT38rGe9xecuMiyD3HnQvjlF6LQDcU2vO6OmQalNF3PBtSfUI9NTgV0G619yMg7kpliEOB7RxSbrD5IV4VHKsgnPAx3p4rnGIRb3q0h6g/35uWZ1risnnVpVT/5ThErMr9tksTL+hTYC5cuTWAb+76fSYuylHDTyMHUGu0lid0NJqWeXzjycd5JocE0ZBKd5mkoxq11ftI+Q3Rt3Uhpx5ufLKs7NJhM40GWde+OLxOs7+mn0IkDPO7JhuyGzMNgGbI5fVthpAPckxzEteMgvo2QwA9+SKA52cPEUy48v2ViZvNLuwEbyrCjl36N2gW1LqDdn+1viyvTGyYG+OLdibI4tabw0t2Xv9S3Z3qmLZ4qGdnF7Z5SWM7iWlkXUjY7tc9sIUT7OF3u9onJ2T7wbsLekewckGwsYRr2wg/AafM86YHPNTzWT38c6a9noRGltUNBNCCFJnwVGPc+Mw3K6OqF8PxzAF6R7ddsDO6ziBhiuz4U6ap4lsP94/taPmqYCOdI8Al1SX+eZHIlPnHmvcY/4cV51FKk2TXmt1a3BgQ61ptQrmXMN2qg3b3WlabadhFVicVdoNTL5j1UrdiqUI9JLB6DFe53WpuC0zTtJdhzVQ207Hmneqec4cNg+jnccpkPlWLaqZMcY+39XUV5fvt5VCo2vNZ8Qh3b+21OAXSUWcYvbhL3RPBzjA0j5Zhl7ykGYL+XMq5Ii5Af5+sVOMrtfE8lU/vgkTT79B95vi+147qg7Y5HraPp9dUgVcjNU/zdGCuqG4PTrpxPAMlHCQkzpz402581goA2OHgRO6arCEMzjvWZ9iuE2tivGVTpv0IY+KwyejZPcyV56DnQV8pP0s89od0IBXzCtJv6JniLH5nBVj7VYMvqKcOWOkyKlLlqeXBGRkOzIelz0Wx7wvgCPTQwksE2nG8/YuzJ1Z8Ty7KuTy9uZI3t4cXdTnjKSCzd8cnbe3hhftjeEFvw7M2zsDS/an0S0bydesWoeNvUAFNhaDBhZV5RkOdnTXAW5w4dkUcMK9Br0l/2P6TZKc7ragErzwhvTdtQysWrGsfLtvJh4CJBsMabQTnx0nky246Jr6qvlwPuVV6T/keuhDl2wPTjtHLqmZRSeznAvo5NE1XIJqt/1D41x00mmMi4pmHIBnggyFMYCeq28CzuZ7u4dW3yU+3xejA/Qm73HeYfYkXvcCGsXnpYZVS3WrlHasXNqxSnnXCluVwOYMmEDK7ybVccUijF5VZVxm+KHNqgfdTThidBidnvNpCmTUkkpb6l2jlDWR7sNfqXhGOXSl1W5Llsd8ObE5YI9sPjb0tY0D/KEv7CWALXBXYeRelbEyETZWufFa7F6gOKZXMl6ftdW7E+fT2MJm4XE8E2b6LLOeMdj7d3NL9rs5JPqax+s47rB7zsENQJHpiTGHVKcHHYkemFtgngKsnmYjXvfPluyT6SVncxh9clWgjxNklCefWg7GG1KdzcBZOQ6KVGnsxIp9QnHMBIDGOFsK6bIwIw7TLebJSb1RJENdezrI8YxvBJLkMDjuukZBe7OLYnaq5CiSGXPpzms9jzJgSMX4koM91boC7ndGvVTW43TAv2jcfxt2HwprIGdv9Gft47683ZvdtvXqiZ2cXtppOKcc8DpTe8tnBCMgB+DxM20AIeeueyGvzmsc/JhyQ67D7PH7HHUEYyUKQuzvVXKwd/L7MTeu1tPgsEdn/fjSp8touISPffZjkg9dvh9dOKMDdM5Bpypu/zTpPfe8+bHSaMTiMR73qw+ApFwXsDvLA3BYHtnuZa9icQG+Yfs7fh9JT0wOm7N2ag3Jd8Xn5cDoRQe7y3Zi9JrAzlUsrzidPHrJJkYeKUan5HUu84Ny56TVolwX4DVo4o5ADtABPNNeWRTDCNBMkBn6bzWuYL4BeKbJAPQkvUY/us5HB9zRaS8D+uCoA2ScdM2Tc8NOsTrxOWWvITbntcfyvhFI6lcYPNFn6c1JN9Vw3bNeJANAFZvPuBQXq5MjZyOggCbE7r+d9thcz856rB6ZW+47sTkMz7CKmSUjjy6WnlpOgP7hRF73NaRC46IoivGlkVHIceW+87p+lMnbRxNLyTNRCUT3/cMMNfurAryGS4QedBheBzFKoiPTl/Ue9k8YPjOfOOpIcrF8iNUF9pQrgHfTHqu/Fxj9ndG8O+6w+UiI0QVyNoC8gH5raMFu9efs1uCivdqXs7d6c3Y7vW3ZzQOdB3dx0YqpFZu3H3J4em2XWgD+RUDGIhdAqs0gbAo3dKARf3P0kkpeLwQ8ikEk+S/+tQw2DIMM8X+U7VGGR3mOZ0D6THlzDmgIk2POAPjhuSeFKFoAACAASURBVOJyYnO57DoSmTTavp/Goko4PzWVWB1w60SWWO66e6DUGUctAeZEzjMfrg7g962507BG1eP0PcXqgc1rVR21JPkeQF6r1BWnw+QwulidwpiQO9d77hdrkvAwOmYc/x1Njj5Wvpw43dncY3NvRXUmj6wuma5GFjfeYHNAHFNpdKcBbtbYqB+/BLMDbmQ8rM5SU4vMtVDuGkF7EAGdlMB6dRxgF7jbGT2YdHzXjTqfGZfZmnQTbg5Qu/kGq8d4HRYXc88uu/semJ5nBeJpj+U9h75sH0/lZcy5QRefaTG4zLVgxun1xIqDNlzVtw6b854FuzNNRrIckHN/qfV5eE7lsuTPA9CJ1duBDRtr9JRSaNS4L0nif5DhCvDzBoBd8nuaDfmuohnYO5pzbcUzMuqC+SYDbnRRMh0mR7ZL5o/kJd8B+huD81q3Bhbs9f55e7N70f4yumaDy3Xba57Z5SUto+d2ce6DGB3UIQ7HjWfME4A+bfWJR9kdGZ/vE5O/cD+AH5OstLktU43PI7NHJm9dW4Mg41hn5LnMONJpp96pBth1vBJTYVX2SjksgG+PyWHvfUl3es8595z42wHuYCelhkzHbCMeZ6CErjLi9pVW47Mo2zHjWLxnKZ9eoxquYXvVhrM59e41pDts3gI6bE6BDKu4XbViwQtlkOy8Jk6nYGYq9cBz5/8HoMPmLNjdO9WCEZe6kzSrwNgAnStMHltRxe5MlhGzh/vKo39tLwmciqt7JNF5j1SXBE96zB3k8V7753od8upieSrpxOj9NrU1LVDD5jjvKpqZ84ETLtOdkWF5jLhYVKPYPInJHew8A8DZAPSaMtYo0wF3WGJsuelL9lEmlLbissP4HMWExA4LcCrulmR3Nncwu3zXZiEjz+fMAVrA+0F6KQCdVNmCQKx74T5Afz+d19LzGd7HPLpvEtooxh2wpNAS0KeC7A8FNdF0k/M+QhxPd5tLd8XpAeBI+ATs/Vl7vT9rb/Rm7ZP+JXs8V7LC7rFdnrsrH+U5VwdgzHN7qk0x++m1t4+ewtp++CH36UITiNvA7O8vbXttS6CEsX1zePEkFu7HBbCVI9d453DeOUMfk9ZUnyiTxOqMkAqsrpz54YkkO3E4MTpLLvuOS3Zi9BiHNxtHDuQG8TkDIOt6VnF5veldanuYcQ5uL4El1YZk33GAV4nPm8qbuzHnjA7QBfA2kAvsSHbAHYEP2IsO9Mnhny2bYfDEDzaf/sHHRo1/Y5MhTo/S3Vmd3LlLd11TXyufrt7zWP0Wc+bhvTO5s3rC6C8AHdkuqd7qP5d8T4y5UPfOZlDuSIy5BPjaJNgo/GimycK0fR7SZ5LuobY95s41bCLkx2PqzJ12r3ePTO7XpRbQgwuPyw7wI4gjMBWXT0azLbA3kn1ixUGeXrUPWcTjOOmR1QF820YQwesbAo573kGO0ZYJ+XA578TY/hnhAivmzLnPswBezxDb8x2GRVIgExjdAexVcEhywE8bq1Jqwy02VzmsZLzfw5Bj3epfsFsDWXtjYNFuDczZ632zvnrn7P2eBbs9sW0LhWM7PKY77dLOzkixueFG/C5gypRrsbwAf3KmXLyD3112Mf+xbwBy3onHLy5tc2VDaS0BP8T9USkkAFds7k6/gz2AnLx4WICd58XyIX4nVgf0eiZUxlHy6s0sfpgibE7raSsGJ7V2KGPND0x0k803AEB9IKb3IZAtoANoQB5jc8y3KNsVn6tLjU61ukw4ZDpgB9iAuVAoJQAH6IViWff12UbJplIPBXJi9FlKXuliG/vWpsa/C22qLfneSq95NRxFM7B5LHUVqzNggoo4WlMl1ZHtkdm/ttQwjF71bjNi83rR3XOA67G5n9Ai8JeZLuO5dsy49iOcYi4eRue7AJ3utYntKfucWJwYnYq43LImwEq+57xIxgHeyqkDahi9BXKP1XmPWRbZPKbcItAj2BNmp9GlnekZ75xGSgNEGDufgDrKeFhWrK/PfWP4YBzWz9sH4ws6jgmQ8tz76QUB+P2JRT97DeCPLdmHnKHOldJXnHQkezpv74wv6O/yXX7LzbdFe38cE25FgBfAR919f2fcY3PPoUfzLW9vDYW02jDXvN3ChBuYt9cHc3arL6v3r/fOe8zen7XXeufs9d45e6MrZ38Z2bbU2oE1Dq7s/OxaMh7Qk7+WJAecIfd9Q7orpMQAuT6HzSOjq2jG6+cJA27OntrG8qri4BjrR4nPxpAAN1TBibmPPJXWAjigPzBVxSUG3bk61Xj++PhQrE7srrPVmid2csDxSx6rcwY6pqAD3ttSATVSPYKfjaBRZx16wczuQSLVkex7QboDcqreuFLuimyP97wqrm41pHtpV847ZbBi9iDTAXUC+ijdizWjew3pnp340Q05TLgxb0slRvfUWhwA6eWvE6lvjIUhB/Ax4lgA28HtBTIvgh3HPQL/a3spqV9XF1tIo5V6rV7stnrRN4HI6s0wUy4C3d33ToG+UYThfSMgj85c97GtyeCyh241taiG8ldidhl0G2FclJfKAmg2BsXoSbEMAA+17jjxUxty5DHseA7XHTCyEThocdcx1RYStneA50ORjD//Eew9sSCJH2NzNgdn+RX7IM1Cpi/aBxPzeo1xBkjZLACymHrcZTrvtYmM+X2UANIekAvYiu1RA4B7Xi4795HtmG/E39F5p4gGsHsxzbwKamB/5PrbQ55ae5OiGcA+vCCgA/bXe3IO7r6svdoza6/2zipmf73P4/bPhlbtUXbXNmpndkbO/fzKZNYxlfWMEc3e83113DrXPImvaSttM9RkvNGjHrrVimvb1qjVXnDY47lqsDxgd9D7cckxZ+5m3JGOYXbp7oyPGiAuj/E66TXKX+lYczYnXj9ToQxz3pQf3zsUiAVw5sHFiTG8pjoOoBOvN/at3jgUyJVKqwTXveq5c0+rOauTbmPQhIZNEJuX98LyOB1DrrK968ZbG7NvbRddvnMvptfWyjY9+sDmxnHbv9eicw1Wn0x/Z5Nidgc6FXLId8BNUYymxqTuOqOP3k4c9sjqMbWWHrotkEegjw/etpei7HYm9so3GW7FMAxSLO0mW0yvxZQbhp3muJc7VQZbJy2HfC8w773fxtYn7HfTK/YHSlpVDIP5tm6fM2SCgplpL5b53QxAboEZlzxhbHrR6Q+f9E63OOZZqbcg2wGnQB5YHFCLzWHoDBvAmgM+47KaewL+FID39NgHkvJuyCnthpMOyGFwXR3MMPa7qQV7T5VsMDLghLUB66IWn3+YDnE5sTmsPbakZ99JL9m7aQc5AyIBryrlAPvokr0XfhvZLqAH193Z3oEe43auOO23hubt9aE5SffX+mbtle45e61vTnH6a4C/PxsAnzXY/oPuvN2dLNjc9qHtHz51sDPa6fzc43LAHHPeoYJOYG9Lw0meh/lvXvZ6pYaOnRJA99g8bhAKC7RBMAMunHcezlaLsXoEONfTI5g7xOhJuauXvVJmG/vP1a1GjM4kmX1i8iPTUUqaHOO5c5iceB1WR6KTMgPYMPdeHYMuMDqxe8ybl53JZcAh4QXyhuR7rIhzsNck3eW8V2ruvgPq7YoDG1OOOD2Av7Bdsa3NdZtMPZbbrpRa5jvNcnfH/TsNgWxPswHwWPk2HnLn46NuzGVG7yY5c5g9uu0C/qCDPT1w1wR0l+Uem5NmA6hy3EOsrnQbvejt9e58prQa/elB8iPnS31K1XElpz6yQWUcRtxya2xUMN6oiiN//mmQ9rrSuTa95KCP6bPQtUbsromvU87ckuwcuDCBRAfYDtKPp/NeBov5llmwj9J5L3+VEbdqH9NOKiYPoIZlYW5YO7A3Jh7KgPewPlext4pgAOeCfQBAAeYosj6sDKmxRZ2j7my/oteA/L0Um4Y/p/cwOvdDDp3NQIYcgyLHUQF5sTgxesyfw+aYbnLeceSHA8gBM9KdGH1wXrH5rf6s/aZ3xl7pm7XXBrJaryPt+wD7nL3eNWsf9ebtx8mqlfY4lQXAUzDjhS7n57HrrE22q5fd70dDDykP4/KeHDXSVAcyBLkei2OUMgtFMoAbdo/DHwG3A9zPXYuvkfQYb8TnitePYP0jO20eKn9OYQzTYzTaOZ6jtteK0VX9FhidsVCAWgwfJsog34nHowlHjhx5DuATkCdlsVTN7dkujnt5TwDHiAPkifNeDqCOMXkAeQQ6oCePPjn6IGFzwA6TT6f/bhk61Kh+G2cApDM57alJXD562wC7gDzq018jm8cr8j0acKNDxOlI+Nv2Eg0pYuHQkJLIdHLlct3ZBEJuHYCrNdWnyWiTSJ5x2Q/IOZYJ9k9tTAvoFMwoH640m4+RYuCj7s2smBgdYE+18uWeH/cSWJfnbrpJ0iPfY8mrimS8UEZyHYedDQB257OMXyXpSXul192IC4acgzlvH6YXPQ7PLCbptWjWAVCAK/DKRHMmf3csJwYnXpfpNj4vBcBzsPv7Y7jqeYFc11H/DT7jPeBWzE/hzPiivSdHPW/vpBa13h1rgR3DTc461XCjeXtjJKcFq8uMG561Nwey9uawMzgs/vrQvMHor/bPJWCXnO+Zlbx/tStnb3Xn7avUts1vHdvp6Y2q3IjfGdfUyq+HGvXL66RnPbK05Dgx/Oml5sZtrqxpw9BG0OayA/4IcIE/DI+IIG+/AvCYeouvdT2irj0wOm2qNLAwvz20pe43j5U/T85R2w8NK6H9FKDD6Eqv7TQ8r66iGHfYATxAbwc574nPqWcnZgfoLVZ3kFM4EyvkqIjz3LmDXqk1Um3b/n57c8syI/dVGcfACYCOCTfFqSxy3ltyXaBnAOTY3ZZ0Jy7nPDWl2HxcFK+VUgsG3NgQ9e4hPh/42sYGMOPaXHbASZwdwazhEkUHsO4FkCPdFZ8T12sCTbfkOs+rOk4z4gdsaHNKTrlcdh3W4LF6zKlLrku2O7ML3HPRcW+BnGo4B7bH5JLqEegwt1jdC2YE9nYjLmwEMUaXuZZZFVN7gQxs7vG3m2SYZjjo3GdjcKYHvCiBBPTIdBlnC0GaA35ncJ59ZxTGXjTAqoUkD2wf5bnAj2RXmm3BZTvVcWML9vboggpiJNkBflseHUaPAI8yXuwO0CmeGfD0Glexee+svYp8DxI+xu6v9ebs1d6sjLo/9ucttdy0xiFtqjd2ee6g1xUD7sJBHk25yOiS58TuoZpteX5Rs9/l0kdWx0GP5prY3EEPuNulewR7+z0ADri1SRwTo/uRyAL8Aak18uet6a6k2OL0GLWnErOHmHyP/Hg4W417gJhrZHSuuOqqgBOrO+hrO03VscuEU3zuJpzy6KVdq5VctsuMCw0tcuCDCVfYrhrLGb1g6eFHoSLue02XEdBx3NPuvE9wvloAONdYGRev0YTjGkFOqSsxOQvHHRYX4Ae+srEBpsBqFpyztqR7GBsVmb1VGQerh4aXkFoD/HyuOL0Qwd5tde5XBqx3HaAvJ22qsVBG01/pXFN1XNv1BbfdzTeVuVLiGhz0hN0B8L+46mLwkC+XuSZWDwcqZhY9Lo/pM8nykC7TZ7CyL0l4ZDZSXnKeeDt8hvs+7qCEsQGtHHiGQcLQgcm570BectADZqmGfJDzvglQxvr2iCsDxf7jQbqPeo4dALM8dw74/T2AfoHhSbMlRTO4761F3I5sB9S48K/2TUvWR3bn/uvdSPl5+3Fi00rUyjMc8hw5D+jdtBPolUtvVdrJWQ+SHlZfnl/y4ptQPw/ja7ERqAjmIuTKfVQzQI6sDYvruKUwFw7gS6qHo5TpbONZHHeOXuLcN0CuGJ3KOJW9ev5cU17pQw8rdql5sYzH6NoAAtABPUBHyqt5JQCd14Afub5b3rGdMMYZuR6ZXWZcW4otAr49Po/A394siNGpiIPNkezTY6TVYPZvDJDD4JHNE6CPueuu2ne57n7OWgR6u2QH9IBdgA9sH4DueXMAK6aOYAew7S2rKoxxZ10VcIHtcehhc0w47gvoxQHrWZuzT+fyGgpJwUxkcgf8uv12hnjc3fZWSs3TacTqWsFIc8lObjzv7K64HBMuGG2wumJ2j7ddvi/qWVgeMAJ+YnGPv0NcrnTZosfocTMI5huGGkDnu7A7DA3Dvz8274Bu2wxgcS2AHmPxAHYYGoAmzB3UgBh/dF4bASBHBYjNcdxT3rrqJtyivTO8YO+k5hWf09SCXHdmd+f9dZz4wflWnN4WswN0rd6cvdI9Y6/1ztorPTP2Wl943zene7d6Zu2Njhn7anzDlquUuT5XZ5qzeUi9Kb1GSWuQ8eHgRM2gO722teUVtZoycw557w0yoawVoCZFMRTHkE7z9lNVwR0z9LEVr6tAJjmg4VSuvDO5j3AG6CqWIU5vHKtxJebIAban1Khxd8A72InDPYf+r0DnvWQ7XWowe+xYq7hkR7bvVuKwiYrmuAN8Rjsj3Stt9e6Ky7d3XqiQKxSryrEj3ecmfxTQJd11eKIbcQCcjjUBmtNYKJYJhyymU3c1FBImn9Cpqa0GFhlxqorzvLnH58TrzuxeAltpNaP4EIlgthVxz8Ncd4E/TIcNlXBicjYHDDnd6xfYtWGU+61nLWefz+XV0KKYPNS748CTGnOnfU2vY948ApxNgHsA9pNpDLgl+2x62Rtdpjx9Fhm9xd7LMt8+mSA2X9D6MD0vJqdTzUEe5HgGQHqajPsCM2mwANKPKGsNRhwg/yA1b/zW+2PI9wV7f3TBmZmCl7Fc+H4uAbuAHUAvphZ4HdRRumsTQeYHxkYByIhLzbvjzkYx5qYbIAf8xOCAH2n/1si896cTs4fCGcBOXC7Q48YP5uy1/hl7vY+VDczuabffdE37BoBT3zNjr/ZktRG80TNvfx5et/H1Qzs8fq75cEh0sTdtp9GUo3pORTe0xLq836BoZr/VMUdJKyCWHFcXmveSn2uAxIUfq3TMwYmYbof+/sSZ3Se9xmky4cTUwyMfMkE13MGxNffJofvUVwe5t6cCcubBAW6l2nT1mL3B8cjkzyXf9xWDRyMuptAUi1eJx2MunQIZWNxj9HIlNLOoBHbPitS1BzNOBTSl0NgSHHcKZ7i/sVm08ZGfFaNzHBMFMzC6p9W4umwH3OTOSa1xT+Bmsuuog52NYAxgh5LXF2L0EU+9uQt/21KDsdY9gFlNK/F1aEvVQQ6FroStlY7Dma9iunm5rN8L8T0FOBTMlAesZyPnveiUv86ueuEMBzYw3pnxzSpn9Ty4AC6G9/eAnHsaDzWVt08B+tSyfcrrCWdxxerKnbu0J7b+LYw/sWif4rKTI4fFKZTJuGEX4/CPxoOjDrBh8vSifThJTp3UG279sn005k75R7GSDbMNYI86o5MLZ4N4YbUZcO+MBAc+ynnlzmFtl+ou7xfE1sT7bA647RHUAFtAH3GQR3C7fJ+XdJcrH2re3xyec4DT4DJEzbvLd+XSg3ynYo73ABtH3uV7NjD8nN/vmVFjzKf9K/Zkbtd2GxcqiFFf+vGlp+ESgEen/lLPrC6vKR11c/FMOXOc9ZOTEznsSQxOUYxORT2x41MKYbz09ezkUg67YvcjP3kFsMPcSHhNlaHWXeOdfdSzWlKDGYd0j/lzjYbiDDUNnXCwR9DD6M7uh0k8znnouO1IdTffmBUXatsBfA1g05PuAPeJMp5PL5f2QmPLnk+UoRxWabYdb10thJr3UsW2tgoC+kzGc+iS72OYcX8X2CdS3wrgAB+AK3cOgyuXflcz3cmX08GGbAfMWtS8j5BScyNuFLddQygio0ua04Tik14Bu6reqH/nhFUYWxLeU2lJnM5GEMw7gM1rwN1kIo2aXHqtY2VGcTgMLrmuU1kYNrGlU1u8dj0ytzesKAafQobnxfSfTC0qdQboMetQAqTQJM0pa1Utule08V3u/5Z76bx9gkwPHWliT9iYNNp4ZGDcdhg+SHRVqc07yGluoTBGKbV5ey/l4ARksL5AHhg7qgGkOK+5+ud8zyW/WDw1Z++Ozdm7qWySL2czYL09hDQnLs8mEv6t4XnF+QBcsfwQ4M45kw+1YnUq45DxsDipOK4sxfBDpNzcnHt9YFrgV8oN2S4Wn1VNvGL4vpxid6Xlumfslc5Ze7d7yb5KrVl+e1/OuoZanD9Nil9IxyUMf3lthdUtqxRqKomNRysxpx1G1zo68g61k2M7OYbRL4xCGF0B9bErAB23pGo4Z/LTkwB0YvrDcx3aoPHNzIE74MilQ/WjkyP33Lm76xTJkEYD2LA4wOfqRlyMy12mx7SaHHZkuoZO1GXE4bgzaKJWbXo1HKm1INWJ0UulPYE7gp6YXC2qpNSKNZlxgH9jbdvSQ/dsLuOVcdF1nxSrI9+d3Um5AXpy6IAcUDNBJi5y6dzz6x2X6COAmiq525oTN6z4/LaNuhnneXPF4snsdjfeYnyueDzIdUAfgQ24aWAB/PF+vO6XB61rY0FAh8HpRydvDuDF5MyHUx+5u+vO8A56ZPpvp70IhkIZwCvnfQq29+YT2JxY2zvSaD0N7rtSaitKq0nSqxsN9gbUtI0GmR4ALpC35dC1EWTmpQRUORfidSrW3DVvsTgg/iDlaTmx+hiv8/b+qKfUADxxN0B28Ge1AciRR5YrJkeKu6T3Z3O6/86gM/3bAdxcWYAfc0659GDURcMOdo+dbLcGvYAGqX9r2PPrbwxlJdVhdcXnsHxogKGUFpn/cs9My6gD7Mj7zjn7pGfeBhdrdnLEsU03iWRvSXc/hgkHGrDD/sTnAne4kg+P7I7pxpiokxM/71wm3Akdaxyc6FNeKW2NRy35xFdKX53dNQhyv6kYHcAD4NiW6sze0DBIZ/FYLedlr0h21bkD+PpB0mceu9OUK9/xSrhoxgF0gb3C2KgXXXckuWa3F3Z1JZVGmk0uuxz3ioZO8H5zc9PSwz/LdZcJlw55dIA+yvAJmNzB7qWvreIYZLuKZCiYGfJ2VerYR4e8HRWAjw/fkQk3MgD4ceB9qQSWMliBueqsHhncgR5TbuEaculJ33pw4uMUWSkCGB6gr+Yk0SmOkRGX3VCVW+xEQ57z2lesjIsbgDO8QJ447jB9K8WmVFpoVOG1pDwz3Cl/pVAmEwEOsy94aSuueyyEwYgDmAAUsKvhJN+KzcNnkaG5Aui3+2bs3YEZ/Q7GHOHAh2MwOYUxOS9vTeXs/bGsV9EpR56z91JzMvLYMCTbAXqKZ7LO6sNZezuuEQc6JhwlrzC+g9yZGraOABdzBwbntSrl6F6D2Yc8t/7G0KxF8Kv+vQ/QewUdMT1pOJhekh6Ad88ZMfzLXVMC/8udk/Ze54L9OFWyjd0Luzi/UVwO0GF1YnReE+PS3KIxUlTVhS61KOFx3pHosLJet51zLvCrEg5At6XRGDAR8ueS8OE11XBy3Rucfe5tqeTQYy+65HmYCRfjcRjfZXsrrQa7R/ON1wJ3MOR2qvvGEsjby18ZClmiRXXP58ThwlP3XvTxUsTsMDh5dM+lO9i3V+lHf2Az498nZhzs7QYc8blPfnWQU+PuZlw7kyPnWc7yQaIj24eJzb+21NBtGxn4ykapdR+8a6mBO7SpwsrOyAA+gt7vhc9irj3E5GLyIOlJw0Wp7szeq9idoplHa4tJCu0zFcs4qyPBmTwj132GOXFUybUaWWB0Kt0k40MOHfC6AvDKuLgBRIADcrF8LJQJRTN8DoiJ3wFpzJ3Hyjfy6nLLQ1spBh0ynyWAB3kukAdn/bWHo3br0ag2HTF6ith90d4fBcwsjDrKXEM8TiwfNgR37JHnc87oYvM5e2s4a+8Mzds7Q1kxt+J12lEDi3saLlTFDQcJnwrOewA9mwFMH1NrL0j4wZaEB+gR5PSvk1+P71/pCXF697T9pnNGC/D/utPf3+qYsz8PLVl2q6naePLppzorzQ05gE6KTXl0UmqnF4rPYW8H+blx0goHNESgq8ccSU75a2B0jLbYjioWP/CYnddHh/uS7nrdOJTjHsdGKcUWwN6Kzw+D0x6aVvZao6MANgug+/XAdmqeT4+AT64MnUDCw+qhF71S3JNsh9Vby2X8C/nzbQf65ibSncq4nyw75um1Karjxr61ibHvDGcdkEf2xoSLwI7DH/U+HNTA57C7KuCGbxtuOwCPC9Dz+qUovQH2ATPfiLWZy86oZ+XDoywPqbMipa4t+Q64E2nPhlDqtF3i98qAPVhbEIg17jm7ap/P+BRXb1AB6O6iS7ZrYKTfiwBXDB/SZwCb+8hxKuiStFpgcrE4TB4Wz/NaxS9ia2dtyfnoprcDWvXqoW4dcJNCC8Dmqpw4pa/pJXv9yai9/G2HvT84bR+OztuHNLGkFu29kay+F112Bz759Ky9D5sTo49GBo9Az9rbI7MCNPl01jssjDnYnA1gdE73ATus7qDPhXRbG9MPLtibgwvqZgPkAvzQvBgeZqd9lXuYcYCdMlkWeXTuaSHdu6cTUw5G572unVP2SseMvfJowj7qmLPu6U1NYaV0VpNhTi+s2WzaYnZRcTdgF6NTJHNypWf0XIzXYXec+BOfJqNDGYJsR5oz2dU3gSjlneU9j86BDRya6Kk1AT0AXGDXZJlWfB7z5x6fO+BjJRwuvAZOkDPXAEhn8CjXE3DHZhaAXokGHAD316p5Lzb0Xmwux33HqHFvz6NPDj202fQPYnXl0ZHvAD3l0j2DhBdru1QXe6u+nbicMtg7Nhbq3cdGcd6jAfeVgA6bsyLIh/u/9O61yN4ws+S6Bj/68EfvUPO5ct7GiqseHfeYd/fvqWJOc94ZGz1g306O2yeDs/Zpato+G56wDzqG7ZPMguJ0nxLj4CUeF+hDtxqAdoYOzSlqWglOO666gP4vfeghZo/gFqAnHdy46HLVJ5DlvhSbhzy4+sQBNT3lKl/12DsyOpIc8PrnK/ZW16j9X3+9Y6//3GW/+fGxvTc847F6yuN3cuEsvHvP6gAAIABJREFUvs/3ADfpODYDQKzYHMCPzto7I3Nh5ey90dnks/dk0gXAj84J7IBc+XSpgJBrB/yk2ZDuAD2wewJ4ARyQe8otbgCRwVX33ud18e2OfAT3r7unHOTd0/brzkn7TQcsP2m/ejBhr/2UsZ/GVqzaOFFMfnZ2odTawtyCHe97Lbvq2cXqnP3mGwIpt+isA/QXAC6ZjlQPvebH4Qz0MNaZ+wAdA45hkOpi0wGKLRMuAh1GR7K3S/W90IrKlXlxGG6K2UOBDIYcsXqU6gD/RcDvWbXS8Bp3SXefFedgj+B3Ro/gLhbIp3NvVzG6pHvme5tOf2+wOY67quPkuJND/8Ymxr4Xq8PisDtML0YP8TmmG/dIrwFoimNGBnHgv5b5poKZ4S+d4Qe+9Mo4AT3E5zoptdKXHMuEGw+zq1QW9o7z5YKcj9Nj2SCUSy90iPH3agP25Wi/vd+dso/7MvbpYMZe++aBfTA8o9NaxNZh8KNkvVJuDnil1GBwJsCymA036RNm1LU2ueFGnApkYPHgus84o8PiDvjQd05FWpDvGGxsIgBfBh3Pjof0GsUwissDm+PSp8NQCQpmUl47//r9Lvt//va1vd8/bv/3f96xWx2j7tzH75JyCyDHmPPfdKNO7vvIfAB/ztl+1DcDwP0eqTSq4iih5bngwke2F+NTPMOGMYwCANw5e3NozhUAlXYy8FqgjxKe2J2NQAbdgLezwvBxSMWr/dP26oCbca/0TYnVX+4C2FMO8gD2X3VO28sdk/Zvj9L2xv0J+2Iwb0uFA52sSins4tyC4mSZcQI3Qx99HlxMscl809SYU7G2gH3ooNcY54MTnZTqsfqZHR2eCdRMfdVBikGyMxwSwPvIKK+Okxu/d+QnpIb0WpwLpxLY0IsOwAE6Kw6USECtfDnO+4FYHre9VjmwarVplUrDytS3h6YWMXkpvC81XcJT816o2dZ2xba3fLTUdqFqG2sFywz/7CBP/2gT6R9kvrl8d6cdMw7HPaPCGWd1AV4pNRx1j8cx3ojTKXH1NNvXlur3oROxMg5mH3agc0CiT22lzVRSvupuuufDgzSnKKbU4Q57tVffUWwemlrYLAB7NON2K0P2TTZrv00vavjE72dX7dd/f2jvD83Y73JF1cAL0NMAeUlTYD1Ox3Fntrs3ufj8ddz2MLd90l13Z2w356JMl0NPfTr58CDhY7z9EY57esWNOCR9elEFNWJ43o9n3bAjn84KKbj3x1a8OGZ0QRsC+fdbnQP2v/77O7v1wxN7+buHkuzKy4cNw+P0lvn2ASm5UC6LAy9pT05+LKtCHAD93tCcgO1An7d3AbOMODYF5DqMT6593t6WlAfsuO85vX9rMOdsjzvP5NjBRXuXFNxgTnJfht3AvN3q81z7mwHoMV5/tXta1XFi9dDH/useZ/FfdxGjTxqGHOtXjzP260dp+9UTrmP26sNx+7Q7a0MLFUn0+ZmcBjAqvQZ7HwUmJ09+ivPuBTER7HLQg/kGsGFsgC2JrvduznEvTn1lgATMzWENku2k1zj/XIcqHqvvHLanddVZfV/TZ8Teal5BvtOPTqqt7tNddzg4saHGFa+C88kyAjlAZ7JMDVnvte8O8Dj9lZFSwZwj1RbSbTjwGgO96S78xsaWpYeYAvuDTY7/6IBPfWczqb+LxVsS/jtLw+wjUb47o8c4HQk/FoDvAyKJy//LRih97feutdHBO4HRqXUHoJU+TX9lcisntSDNAbHH6f0Ctxt1fXaowxnctON5NgnidJXA1ryKbq/cYzvVIft7HpCv2h9z6/aH/Kb92zeP7aPROQ2c+GQunHseTlr5bJoKuRCzh442Z3QHOblxyXmx+4qedXnvsTjVcOTNdS9OfOXoYqbFBEb/KD3vGwDjo8Yd7LD5R+Pkzn19TGqN10h8eslDTvy98ayY+aNUzj4YmbF3e8ftnd6MfTgwbZ+MEacv2IcpVwcfE+OPePXchwyTkEGHC4/bntPG8N7wvMw74ngWEv694blwL+8SHsYenrV3BrP27pA/h0KAzaPpp7QbDj33hnIy9NgkAPnbA/P2LlK+n1z5nL05OGtv9mXtrYFZj9+J0Xuog5+yV4jTAXtbyo1yWd3rnrLfEKt3BeAD9kcO+H97PC5m/9XDcXvjYcY65os2m12xenXHLk9O5MbHONxj8XMVyMS0Gkzu8v3MTsiPI9k1NSYAnlZUutQOjm1/f1/5ckn3ZsuEg9E1XYYxzuTVm1TAhWaW4LrXd49sb+fY9hgf1Tg0FcgA+D3ku7N2vXqggRJidVz1Miex+AEOGHBi9MSQc/kO2NW9pitz3pthOGSr/FWDIrdLitW3YPQRpsBSAvu9atypc8+kiNO/kyGHA0/+XHI9ddcyY994MUyQ79F8Q7arQGbwrnerjZBa+1ouO7lz1bwP3LGRgdvuujerflpq7EiLJhybgMAOmIux7j1IeeXO3ZXHwFO7K1Npyt22V+q2annAvl3M2+9CUwtnsP3bd/ftg6FZGXQ47d6e6kMnPucQhxkHuw50mHGAE48D8k8mVgOIvSw2YfGQP1c6jSKZNMzPWOaWGQdoKYklDcZzSqWN5zwFl3Zwwq4fMUVGpa6eG+f5WPgCSD9kA2BT4LuYd6M5+yi1YABbQAfshATj/n1UQXTjPU6PoHawI73lsgPmoayk+DtDvAbcDlZibxx5QIorT4ru7VEkO3PdGffcYmy97nf33kE9Z2/0zYrFb/XNau673vf4a+691j0lJkee47K/3jllt3rm7LWeGXu5Y8J+0zlhr7A6Ju3lx+H6aNx+/XDM/ldYv344ai8/StnLD8bs1qO0fdE/Y3R8yZGHxaNsD3lyxecHFML4RFcMN9JtABjZDhMfHJ5aPEARoOugBppZwrnnXGN7qopliNkbjI+iqcULZGJ6Te817tlTal4CS4xOE0sAuSQ8nWsHAndkbpfyzubE5lqYcpXWvLiWhGe2fauTrbi9Y2XaUyma2ULCl21zvWATo080M85LX+/a5PjfJdWJy5HwABtjDqBH9533sDiMHh12L4G94zG64vQvbHTwro32w+S+APlIXwA6jB7dd8XjKo5xpicGZ/5bbD+VPI+z36MrH0c/M4yi1Gk7hU7brYzYnUUvlPl9ds3+Pbdpv/r+sX04lvP57cyRo3ttetk+y9KvTpNLe149nqkWKuYw4Gb8QAfidGR/nPgqyc4EGo5KxqWH0cMhDVHCfzzpxp5/hzHPOPc4+J5rB9QYcWwCqnEPuXHu48DLXR/N2oejs/ZJatY+xFwcmrRPhmfstyPT9vHQpH00NGUfD6btt0MZ+2R4yj4ZnLZPBibst4MZ+2x40j4dmrDfDU7Y54OT9oehSfv98JT9YWzW/j09Z39OzdpfUzn7z/F5rf8Yn7O/jc/bf6UX7L8yOfsinbO/ZXL217FZ+1tq1r7IZO3L8Tn7j5FJ+9vYjH2VnrX/Tk3ZF6Mz9nVqxr4en7GvRqbsS61p+2Jw0r4YytiXgxn7amjC7gxP2e2RKftqKG23h8bt9mDavuoZ1PXO4KjdHkjZV30jdqc/Zd8NpOyb/jH7+8iEfTc8bvdSGbs/Pmk/p6ft4eScdU4vWO/sgg1kV2wwt2zpxXVrNI80iw6Q6/w0gf3yhQIZAV2z23HTKXV1kCevOYUF463JIQ0hZg/TZDS7XRVxxwI2Ml4VcE3aVMNQyDbAxwIZQM9rAK74PMxv13tALnnOAQ1RolMG23pdKXNMcjylpWnlIszuoI+xOmB3Fq/6hJmQSwfsG2ulwOh+YIObcCE2H8V5p2DGHXhNkoHFA+ABeZTu6jenpj00rciQG/rGkOupobsy5DDnRvtv23A/M+OqLs0lvwNLJ681cCJI87Z8u8v9kHOX9PfXyqlTQlvqsd3asP0wv2B/nc3bX+by9teZvL36zT37bHTG/jyVtz9NztsfJ3P2eWbW/pjJ2u8zc/Z5Zs7+kJ60P2ZmfKVn7A/j0/b71Lj9cTyj138YzdgfUxPG9d+Hx+2Pgymtfx8ctj8PjdlfBkfsT4P99qeBPvvTQK/9pbfX/qOvx/7S221/7em2P/X22l96eN1pf+vpsP/qfWL/2fHI/rPjgf1nx337746H9mXXY792PLQ7Tx7Y150P7G7XI/uu+4n90PvE7vU/sZ8Hu+3BYI91jA5Y7/iQ9WdGbHBq3Iam0zYyO2Wj2Tkby+Uss7BgU0vLNrO6ZtmNTctubVt+q2DL20Vbr9RsvbZjG9Ud29jZteJu07Z2mra9u2/F3QMr14+s0jjw1Tyw4m7DCrt1PVfaa9p2bc+Kew0rN/at0tjXtVxvWmW3YdW9plUo8NhtWLm2Z6WdHV3Lu7u6VnZ29Vm1XjfuVXbq5vf29JrvsKocKEjsWm9Yba9pu+EU0vr+kTWYwbZ/bAx8YBabXHDAGtgaYy5h87MLAZ5cuQB+fGHHR55WcyaPgx5DsQy/I6C7sy6gJ2zuoHcG97JWABzZnBJYvd/DnPONIAKda6NGXt2ny+wCdJz4Xc+fA3AMN7ntyPUQm4vBS019Fpm9XNyXVAfo0XUnTn+xUIb0WqsffWuj6EBP37PJ8R9sauwHd95TVMMFE270GxsfCU776DeK1XmfGb6rtJric1Jqal7xbrVYKKP8+VArjz488LUD3eNrb1OFraNsd7B7KWwC/JA6kwOPCRdALjVA4Uyh2+rbzI3rt4OdlG3Xi7ZQ3rbs1rpNrizY0OS4jc/P2Nj8jI3nJm1kdsyGpkZseGrIBsb7rD89YANj3TY01mXD4902kHpigyNPbGD4ofUN3bPekZ9tYPBnGx66Z0P9P9pw//c2OvCdjQx8byP9f7dU/3e6jvR+Y2P93+rUyszwjzY5eM+YpT2TemhTY09sZhwz5LHNZrosN9VrCzODtjg7ZEvZEVvOpmxzIWMb+QnbXJmx7dWsFdfnrbSdt0px1XaL67ZX3rC9asGauxXb36vawf6eHe/X7eSwYadHDTs53lf7JfXZjFVmhloyqIEpq5xfxnnmV/6a+nHuxSttoXzOot1TLZ8cZhiPQw6/wXeurm7s5uaZBkPwvbjoIWdoo8ZDnfuhh/o3cICD5sBdqrrt4sKHQvI86S9Vuml+HM0rjIVu1bLzeftz7eWvqnZDph+F508isM/E4sTkAvZJeH/ksboPkgjpNA5NDPE5ppvcdcAe5DxGnSQ7Mr3pGwydawCcvnPidM2HYxBkaE3lvsfrzuR7mvLqbA6Ycdv3VDCD874vac5VLvwLQEe2U/7q6TUaXIjHtcp1mW8AHqBHZi8Wd5P8eQT71tqWjY88sOnxH1sg15SZv9tkYHTcdow44vbxkW8tDegB/Ijn0ZU3pxKOfDolr8j2UBgTC2W4xnz6CHn09jy5x+junscKOeL3dml/UPKR0C7xPUYX8BXHe186QD+pT9rTq327vD6z84tjua2nJwd2erJvJ8dNOz4CFHVdTw537Gi/akf7fj1sluygUbajetEO9wp2WN+2w91t299dt4OdTa396oYd1DbtcHfDDut+72CHz9ftcGfLTnY37bRRsvP9kp3tl+20Ubaz/YpdHNbs5LBq54e7dnHU0Do7ObDzk0O7ODuw89NDuzg5sOuTI7s6O9aRQ9fnJ3Zzeaajg59entnTiwt7enVuv1xe2vOrK3t2faPlr/3986sbe3pzZc9untvzm6daN9eXdn3Fdy/t6fUze3bz1J5e39jN1VPVjwv8bAJanHZy5q+v/eAFAZ8NQoDm3otLQyIuAftTncyisctxvvqZn2um/nDALYBfegUbQyLiaS2hBVVMfAYj871Y5ur95bHaTRuDqt8ohvFYnOYUT6tdedPK6bmdHl3oNU0sLAB/dHzuV9z1I4AeHHXy5ZyndnBq+xyFDLhZh96SqvidtlTieF2J1Z21JcsZFxUmvWrohDYBnHd32HHdATuyPQJcEr6tUw2QR7nuDnvIq2PO4bjLdW9YudxMZDuMLqAXXmR3cuhxugxyfn21aGPD98Xmk6nvBXZidOR6jNUBeHoU1/07Z/bhb3WF1QXuUO6qbrXhO17mGsE+5MUyEejxKtddznk8bJEz1cL8dq4CfIzhSbvB+jEmJ5bnuOUSo6HZALxFletxLW3/vDm2Z08v7eqa/8Oe6//kN9fndnN1ZtdXZ2I0vb8+F3Cub8717NXlqbEAF6DQs5en9vSaQ/5OfV2d2fOLUwedQHhmAFKgvDi1Z3zO74b17Mb/hkAG0LSuE9ACQq2ra7u+vnYmvbmyp1fXdnN1bc9vru2X66cB2FcCqAP4Ws8Adr4fwZ78Pt+/DL8DQ18C9Gt7ds1rv8/7pxcAODB9ADh/V8x+4UccsQHA+jSMXDMB5pJxTw72C+a5XV46455fCsg6/1yHHXodegQsQyNgdcZCqVQ1AN3nxPnxTEkNO+WqAjOnrHpJqwCuuXLxPWqgVfmmctfTAG5ATcvp8YUdHZ86+I/pUjt1oB+dtIDOswHYYnRORoXZic8PTluxegB5wuaAWWD3FBpHLAH6yOqk2KJ0B+QeowN0l+0y5Xa8Gi6yOfI81rgTt8PgUbIL6OV9AZt7zuChcIaYvdiwUqmhIpnC1q7n0RWnlw3XPTX4wKYolkm5y07pq0AeOtja2ZxceRKbMxhy5K6KYgRygK8Um7vtMZ2WMDkVcn3O7C+p35wa9kqP7Vc7Qk69S+OaATnxNuWssDQATjYBJsZq8mt3cjAjgOd5WlWP6xP2y9NjB9tVC+QwGqAH4NoArs40Y4z/4wNo/g8PmG/O/eROpOflJd8/E/ivLhlzdKrNIrIrvwXLsoHoe/zO9bk9uw7sGTYL/nYEM0AEaCwAwwJwl9dXAjVsfP209Zrnnt/4dwTSazYLQH5pzy6f+sZxwe+0Nodnlw5oB/JFAloA7EweNhXe6zeuHcRI8gD6uAHA4i1p7xsCMtr/7Q7YhKX135nLdpWhHjt4keECOxvBGYcr+sbA7/D6+vRGk2PYAGJsrbr0ULOuxhWmt57D8H68sp479QYXnd5Kw8opjH3qwKaklQ61k0sBm6tkPI0pbWCH0ZHtHos7sA+R8ZLtztoy4JqedhOjM1WGgZAhh4501whnUmohZieOh80Vm+/B/H48U32PdJuzPDE6YOaKnOcY5Z3qodhbVxXKuBsPyEm5xZg9MeOQ8UHCe5zueXVeFwo7tl2o2PZm2VZXC5Yavu+FMjB5WMh1taXC5GNBssPoQ0Gy05baxugAPT10x1LE7QM+6VUm3CDptLYS2IEv9f6leCIL8pvUmFJqOv7Y57ozn12szhDI0KnW1HnqpNwAdpgiy8BIpeB67aDWY6e7E/bP5yeSr5G1JUkBFox+7Uwv0D69ENsDICTxM1jrzCUywOZZgfL8XAB4Tgx7cWnPL4JSuDjVZqBnYH1+HxCfs6E4Uwuk15eJ3IZ5AdFTYmCxuMe7/v6pPbt6pvuAFIn9y9Nn9ss1MtwBznf8ew52GN/l/DP9rjYZwHuJLL+SSogsjzLQZhF+g393lPBcibv5Xozbk//ezmMMHmJ6Ti2F5cMhDBdX4TWnsARpDqBhZx3BBEjbjmIC3HwWr4kUDyx+2W6mnV5p4ARA5XkOf2DToIZdZ5Yj7zn2WMcmOdMDeJiczQC5jqynSEaxOhK+DehHpNeOz8XauOxi9saJHTScyXl/0PSN4CiA3SU7bH5iMgdDXK4DGTRdJkj2EKfD8JhuABkJr+KZkG8nx45k93Sbm3Ax1SZwB8nu5lyU7Ljt9cR5R74rLg/lrgL5ds22NitW3AzptdVtB3rmRxXIxAq4KNsF9mjEpZDqX3stOzPcBfZvZciNDX/jIKdKbuRuiNXvJs0sSPbhgS+UQwf4fshi7ESL0hujrczQiTCrPQyYYBMA5O2xvIBOOSxyvswJLTzTb+cHM/aPZ8f29OZC8l2se+VgiiyEjBWLc18AOndgXJzbs8DoVwBS7OtKAOZ2JoP5z+058TJsfn4Z5L6zOL8tAPHd60t7doV0d8lObA3b8h02FRhZG8KFszr3IoglyW9uPKZ+em3E3r4hwdb+mitg1uYRWJ7vi+2vYwx/pb+h2P2ytZFgpLGZ6O9d3vipJwAa5RKY3WPywPLJPUDtZh5glQwPQxwZ10y8DsgBtgY/YKxdnAugSHqBOzB1BLvfu/JDHALY+Qz2Rg2wEQj8OOiK23n2ys50rrkDGfAfn1xoxZj85PDSi2SOqFu/8sKYYMYh68X+Kn91x16gRp4j2wO4m40Ylzvw2QwOYPSGO/46gaV+7Ck2xehId3LrR3qmsXds9cjssPqegx5mJ0aXKbfLxJlW2g0Hvh3YsXiGKwAXyGloQa6XmlbEoCvuCOyFLSrhdrS2N6sCO6Wwq8ubMuPImccCGa7Ut6fHwgoptRijj2HCweYj3wrQY/Slw+TDdwTsOBcOQw5Qx7hczD7IPfLogFR5c4+39Trkw2M3W/I5AyCR523jnl2ut5hdYK8N2Pn+rP3z2aU9vYmsGiQ3hlRwlHGdJeXDVcBHtl9eOauH+wBZsltqwAHs790g43uAT8C/vtB3+Q4MiwQX0CMoMdGur8XYz8797wB6bQIXrbg5Ap3fhmVhdQe2KwDic97zmVj/0pleMTqSPWwmAFt/7/rGN4JrB7YrhqcCOH8LQ06K5OqpVEYEt/67ilK+/XrpTjpgJ95m85O8T9zzawc1TJz0i1+LVS8l5a8C6J3VBeJwn5g8Lv+us7LfuxLIYXRifcXmIT6HwcXayPNgvHElvhagDxkycSG2PiEeB9wB8IdHZ3YYYnSKZSKIYeuYRxe49898A5BsdzA3msdW58RU2DnIdp2gGlhdcl2fAXbOXXPQ7xGj73q1nNJtAeTRjJMLH4w3QB2NOY/V3XQD4ACdmLxcqEumUyhDQwu17YXA6LB6BDpmHNVwE+PfWmY8pNRGvjPMucyIg95lfEizBaADbJgcFx6w/6vTDrDjPcBN1xoDKFgvUZseZXsjnpGu+vVYARcaWiTTfbyzNoe2DUKz3UPxTGT9y+as/b/PTsXosDrMfUPcGw2pAKoIegEXqS0mDiwdXgsA8T7xNsYecX74reQ7gfkF8MDg2gQAnZgVdr2yX27cNHPpfiWwuWR29SAFgQrQBhCZ2531CPYE6JHB24w1bQDBcIuOu28KzxSGaGMIG4Qzfyudhkzn7zrQuQLEAOropgfAO8iR5j6RFfZFssPuek0aDZCHmJznFGcHpzyCGIbnNezsy5nbTThncjfyoukWnfjwntj/9MpBfnqumJy4PIJdYI6A3r904AeQA/a4CeCsKy7fPzUY3FkbM87BHUEfNwFJdzE6TO4yXeepNf0QRX6D5YcqOsgBupaGQ8aUG+xObv3YGZ3CGaXYQqFMMOIqFU+/qakl9p9HZi+0YvJisW6YcDLiNnfE5i2gbySuOw0tGHHJIk4H/CF3jiknuY5kb1swPPE4YAbYis3JnQ95fI4pp4o4wN77VcijC7AOaoAOI8PYLsl9FhwGm5tsnm/XZ5oj55sATrxWhSq6Pjus9dtZI2v/+zlM6wtWdfYOjrsMtgs35BSDw9SeTpIUD8BGwjqQ+Qy2j8+5ASfmvjwTOCS5ceAx4wT0c0l2ZDsAJ7aPcppNAqA/O78JTjg+QMu8c/c8sHXcJK5gYzaNCHo2iWDERRdfwHcTjv/s0a2HwdlMAHb8fpTs3FOIEsAPuHHW8RguBXqX6ZG1PS738csAlPsOZs99M7E1yvHIzIqlmQJDTJ2wfHTN/RpBrukw9JLTeabY/FLyHLl+duKATjaNM8KD1maguDyMh4K1Sa0pJiePjkF3eC6gy3yD3THbYPxwlbu+fxLy5FyJ09tkO68Vrx/qM5gbxoadlUJrK5xpgTyeoHpsdcn7Y2vutJz4+u6J7QroDna57bEajuKZ2r6q4WTCxVp3psmE7jUaWIjP2004pPv2VtW2Nmq2uVG2zY2SbW5WbGNp08aH7nl8Hlz2WCgDsDV8ghz6mIMcx51+dOXQYXKB3BtaJNMFcEAei2Qc5MP9LtkB/FB/iNEF7ABy2lC9A80ddAE8SHul1jTa2QFPU4vn2/3U1djCyv2L/Xn7n+fkkc99XQfHO+ShHbB+j//DAyDAxXLAOcCduT0+RxXoiF5i+8Do8b3nuYOURz2ElB1///n1hf1TQHSjj01Hf4tNKJh/7tD75wJ5lN447fz7BG4PEdhE2DhcsocU3cWFzEGpBDaeECr88vQmgJ0UXZD7yWYR4nf8AjYArvrPdmkYa8xF5z+nMg/h1JMkdic+T2T7hY9ixlw79/PNGc0cQU5crQ0BE62t7px7ArMGQwRG58CF8DzPJs9QOMOAiejcBzOOTQM5DuOrG40hEu1FMap+C8UxOO3tkj2AW/dC7hxGV685ABeztxXHUPIanPZYMKNrqG9XcUySVvODHHS4YmBvZ/go3V+M09XwEhgdYO+Wm1pJWg1WL5NPp+4d191LX7lXxm0v76hoxvPmNdve9jJYnHaBfL1oG5slW11dt9TwwzYjzhtayJ1HY05MrpjcC2VktgXXHfYWi2tWnAM8ynVidZlw/VTDeenrUB9tql/bS7B4XG6o9SejpTz+Dqyt/DppOJ8Mq6o4Hcroz5N2a4ZedTrcLo8W7X+e41g70ABbZNkojUmPCWhXHsfr8wsHHwCGrWGvBMTkzUNajGdjnl1pNT5jEwk5dZlv5M5vLgRqXcnhI8kBKSah1MaVUoACt3LtbtjxDMs3BY+vibeTFUD7z2vPgePGoyi0aV14XE6I8D83vnn9cnOhkCFuEs72XkgT/xZX/h36z0iqTscRX4YKtysBm3PIBXYUEaZdqJjjv69r8uIcpcS55ufutovtYWXJdmoN/Dt8j/Agie9JyRHnn/ngR20ubDT8G7SeSiXoOzL6PEWnc9aTnLpPiwH0AnsocYXJUQsoAnfe2WCunO2VQgtCRJ+UAAAgAElEQVTFM8TzDJDEgd8nhr9wYIe8udx2GXTHyq0fNU9ktnF4A6yO4daqhOO1y3mZcqThaFvVRnEmOd+sn3i8vntie6Tb2uQ7YAbwkvCaPOMpNwG/eqSiGQFeoGfiDBvBrrvuxOahUGZroyRmj6y+trplqaGfLTP+vSrfSKWlx+g9d8BHkMdrklIjPldlHM0qOPH+3g05N+XoXKMKziX8bRsZvC2QD/R96UCvV7sE0ijbFWeHGJz4Ww58LRyjXIK9vahGI6dK5NwBuUt2bQC1Hrs6XLT//Y9n9o9nz+2fz67tl+dP7R/Pru35syv7x1PWpf3y/Crcu7RfuHeF1L3UFZAoF44MB7wXx/bsxq8AW8UyFNZcnNj15aldnx/Z9eWxPbs4DkUzJ3ZzcWJPKbS5OrJ/XLHhnNs/rs60frk8Db9xIibmWdbzyyN7dkWe/sSvFyf27OLQnl6e2C9Xx/bs7MSenfvf4d/wTEU6R3ZzcmRPz47s2WlrPT87tF9Oju355Yk9Ozu1X65Ojb/77PpYr/Wf6ZwMw6ndsFGdndjNKb/DBJYDuzk4sMsjqvQO7erowC4Pj+zyaN+uj/16cbBv5/sNO23s2Wmjbmf7DTtr7Or1eXPPzvd27Hxv107ru3a0W7PjvV07rtfsvFm30+Zu8l6vGzV9l89Pmjt23KjZSWPHzg727LRJee+OndR37XSf39ix/b2aHe3V7HC3Yge1iu3XS7oe1Kt2sFOxg0pF1/1aWfeb5YI1K2U72qva8c6OHfAbu7vW3NnRmerNStUalaI1KpXkWi8V9Z3dStHqtZLVa2V91qyWrVEuWqNcsmapZI1KyfRMuWC722VrVqtWLxdtr1rSczulitWre7Zf2bW9Sk1rp1K13WLN9go7tlMqWWW7bLXtktWKVa3SZtFKm9tW2ipZuVC06lbZiuu8rllJgyQqVtmqWnmzYoWtohU3i7axtmkcYLGxsq0BmbxfX980Zt2z+Gx5MWcT4/cFbOrc0+PfC+jjqe9snI415HvKK+F4TUNLwujDd2xYBTPurovJg2QXy8dZcf23bWjwjkCexOgCZjwSWRK9V2k1cuYctXSEPK+4qx5BzPz2epUCm5Zjrw2h2GFHu312VB2w0+aUXR9t2WEtb3vbOdsvzNne5ow1NmasUZjV6+Zm1urbU3rPPa3NSauXpq1emLL94rTtb09ZszhtzcKUHZan7LA2ZUeVGTus5uy4Opusk9qssY52Zu10J2snFf/spDZth5Vpa5Ynbb84YfvFSf1Wcytjze20cd0vZKyxlbL9wrg1NtO2tzlmzULGDrbSdriRsub6mNXXRrX2NlK2s56y+uaY7W+mrLE+YvW14WQ1VoassTRoB+vDtr8xbPXlfqsvD9rexojt5gettthl9aVe21ns0aotdFsl122luSdWmOqwylyPlWa6rDzbaaVch5WzHfq8PN9npYVOK811WiH7WPcKc91WzPVYMddlJa1eqyz0W2Gh2wrzfVZY6LXt+R4rLrL6rLzUZ5WlESstDVplacgqK77KyyO2szpq5bVhq64OW3l50Cor/tqvg7adH7atpQHbXhy0jcUBK+T7bDvXq98ucX9hwDYXe20j22fbC322meu39VyPrc9328ZCj23M99pmrsfWcl1+P9dn67k+W53rsdXZHluZ6ba1mR5bz/bZRnbQ1rO9tprts5XcgK1l+2xtttc25/hd/x7f3ch228ocf6df1+XZftvI9us3Vud6bWNuwNazA7Yy0298lp/t8zXdY/nJHluc7LOFyS5bnuaZblvIcL/bcplOy012+jXTadmJHpuf6vY10WkL07wfthmenerX59nJHpvLdNt05onNpFndWrMTvRbXdKbTZic7bWLMh07A5s7kDIZ0x50UG466GD3UsiPJkexidA5ogM3lwFP77rXusWuNia8wubrWBr7W68Feat0BdyhjVeUb8js5kKFPrw94X+22gxrLq+iIzcXo5N4L3aqoU+86bF/xAyGQ85WV+1Za+NFK+Z+suviDVZZ+tNryfautPrCdtUe2u/rI9tYe2c7KQ9tb67Ddjbi6bHfjsd7Xt3usvt1lje1O21eWgCOk+mUQNgr8/V5rbDMsg39vv+0XB/T6sNhv+5wHp2YbQhB+p/Vb/GZ9u8Pq273hfq/tbXZrNTZ7rLHZbY3NPmtsdRrv+bc1t3qsvtGVrMZWhzV4v/7YmpudtrfF93m+2+rrT6y+1mV7G09sb73LdvnPt8p/5oe68t8D73eW71sl/7NV8g+stHjfyov3rJx/YJWlh1bLP7Ly8mOrrTy28vIjqyw9suryY6vyevWJVVe7rLzcYdXVHqusdIfnOqy83G21tW59zjN8Xlvv0/vaGv+7dBpXntH7VV73Wnml2yorPVZa7rFyWMWlLiutd1l5pc+Ky0+suNRppaVuKy93WYnXy122tdRhW0vdVsh32Ga+wwp57nXq9day39tYfGLbi53GdWuhwzbnn9jGYqeum7lO21ro0n0+W9Pnj/X5au6xreW7bCX32NYX/d5arsM2sr74fCX3xJbn7ttqttOWs49shTX32JbnHtrS3CNbnn1kSzOPLT/9wJZmH9jC9ENbmHpki5OPdC8/zed+b37qgWUnH9hc5p7lph5YbvpnW5h8YNmJn21u4r5lMw/984n7Npd+YLOZn5M1l/nBZibu2XTmJ5se/0nXqfSPmiZDt9pE6idVw2XSP0i+x1w5lXHKj7ddJdtDMYyAHY04xeLBYW8z4VQCGxx34vJoxAH8lxpFZrx5gQwxurvnYaAEbF7zAhmBWvG5AxmpHmNygM1zbASHOz6s4rDKuW2Ydo+sSetq8YnWPn+P01hLnXZY4reeWLPUYQelDtsvh3vFTt9g2ExKoQiHwyVKXsTDPW0+we0HwNp4wvOoEBYbjfrpw6RaQgzu+bnvvkHovWr7OdO93yflFMKgDdKMOtSiT/8Z9Hsh9ejf8+e9utA3kv1ipzYeyoCbBf9N/zcM2EGh9W/yTj9Sm344ZWsT6rG9Ar/Vl/wOmxgbVKPQZ7tbPVp7bDxbfba7OWB7m31h9Vh1s992NrttZ73Ldra69Lq61Wu1jR69rmz26DXvdzf8Pq+ra71abAal9R4rr/dqFVe7A8h7rLjWacVVrt1WWuvRplBY6bXCaocVVrpeWIB8e7nL2CS4bq50CfQb+ce2yaaw3OkbwVKHrS916B7329dGvtM28k9sLf9E91cXO7RJAPb1hQ7bWOjShrC+2GEruQe2CKhnH9hq9omAzRWwr80+tqW5h/o8P/vYFmYehdcPLD/L/Qe2MHtfz+i5mQcC+ML0fZufuS+gZ6fu6TVXgX/qgc1N3bPZyZ8E7NnJn/Wa6/QExyH/YBy7xABIgE9tOxNfJzPfe+48/YNKXYnPWWOj3xryPcXAx1EvhpFkD3G5V8Ixtz2k0xgTpeW17DGlpmIZDYr0+DxpU1X8DcCphAuAkCTnXpXVrfuAmgXguReXv+9yoANyAd43B8XyxPhtz2PUHVa6jI3AN4+wyZQ6/d/AqOkwXx73Pjr7Edjxs3gFvPE1m1TcGAC6f9czA/wtvU82CQf9oUAea/h9Y3AQe2qxHcSAkc9o4Gl/hvv+GcD23wLch5VBHVMllYHSKFFOPJCoDsDM89oU2Bja3mucV1QrBf5mrzaAeqHP9rZ7Bfb6dn8CelQJm4BAvtlttY0uLQAfX1c2u0xAX+9zsAPu9W6rrHVZda3PKoH1uQJkAA/QWTA9QOcz3hdWHdjtr7eXO3WfKwzPFZAL6AHc2ytdtrHSIQDD/AAboK8vPzEAq/eLfg+QC9QAW+uRrS08svWFxw7wBQDO68DiuQcJmwPu5WxYbAAzDy2fddZenHmQMDsgF9CzgP2eFp8DcgF96ucE6Nnp8Jrr5D0tgD8H03Od/MlmM/dsZuLHAHTA/oOz+sQPqm9ngsxEutXE0gL6XcXoHo+HuDwYcFGqj4zcNq3BmDt3Ew5wv1gNR627Az0aci+1gy2+lvtOuk1gb5W3AigBC7CzMQTQ8xwAd8mOCmhtBLB0/F2uR5UezZ0D8BGgFODEZ+Lv6n34TZ6LSgOwyitIwosILH8m/hvjvzP+DYGcf2fZwRUBGcHbuu8KIr6PIP7XqwMUgKNaHOhc2Ti48v2j0kAAtv8bW4D3MmE1Cum7DvIIeJ4TgzO7D5ATbgSgA/LaNmzcLeADbjF6G9AjsAF9fM3zku4Ae7NHq7zRLRYHvDC4wL3mzC2pvsEm0OGMvtrpQF/rcqCvOKuLyVcjqDud1Vddtjtrd9vmUpcArPdsAsudeg+QN5eQ708c+EvO2JHVI9AF7sUA7kVk+mNbnX+SLGQ7jM7Kzz+y5WyHWB3JDkP7chYXyGcd+MtTDyw/c1/gnp/5Wayen71ni9M/WwT7fAR6BPnUPROrT/+sq8ANwCd/CgzvE15dvv9gyPZp2H3yR5ua+ElgR7ZPpP9umYw77s7oAejBkBPgA9Cjyw7IYfQ4JkrXyOwqlnGnPYJbbM7gCdJryOEILgE7uOyRhZNy1wB6ABqf5xmBXPG6S3oxOuZdtbMFeEAZNoYI6BbQYy6+xzcO4vuwCQBWZ2UHMX6Cs2IMLSID+yYjBRIYXhtDSAkCSt8A+hNJH6W9K4KWpAakR4zPKhPztwDcvjG0A5vXLdBz6EWQ84QB2qD8vbN1DA94zsHP3/Df5jn+HRw97bPzE5DjIdB0tN1rOwUH+k6hx2rb3QL9Hsy+2eUbgFi9V8xe2+w0ZDtMjswH2IAcFkeqS35vIM07EpCX153Zy6udYnrYniVGD8zeLtOJ11kwPMztV8CMPCduZxPoEriR4hHE8QrIBfZ8ZyLhYfYIfkC+Nv/Q1hYe2vL8Q1tZeBJWh4C+PA/oH+q1gxyge4xOPC45H2J0Xi/MPrD52Qe2iHyfeWT5mXuW1/sHkuZIeOT6/DRx+P0Qo98LrP6T5SZ/snnAPt1i8ZnJHxKgS65LtjuTT2YA+k8CvGJ1mlkC0CObA2rMNyQ7zruke5DvSHbic7nqjIhiVNTw3QTsSQVcvxtvgFxAJ5c+8LWKZQR0YuUIPq4CLlfuh/g82QBIowX2dsYNsrtN0nNf0jzE7WJfxcYOdqrmMO0ceIHJAVYiu/k/O6zqEv4oxN1iZp0kAzDiIZAwo7OjGJi/Gb4noIewg9d8DqgBE9cIXGdZ30gcdC6/2wHMd+N7PaPz5CNA42/xN1yW+/XFakK+H39frcE6dZaNxMHNVQdjFB3ker6AXO9KQB7lea3QbYC7tu0xe4zXYW9A7bF5r+1s9AvoDnaPzWPsHa8wN5Kcq6Q68hxgr3ZaaaUjuQLu0lqv2JxnI9hlzi0/kkwvrLgZt7X8WADfgLnzTxLQi6FDHM5rFs8Cekw5GXOS8Y/0GXJdQF94JLYGwA7syOYPDCMOoGO+8dliALnMt5y/Jw4HzFwBegS8QD/1s+4L3GL3+5bjOvPIwT2NpH8g9p6f9ns5NoDJ+0Y83mJ0fy3ZPuHgliGHKZdxA24q7YAnTqdbjTr3OE3GJTtx+jcO9pgnl8PuYFecDtiHvHMNRsdll9POEMiw2pmcme4COuwJqCOD60pLamBw3rcDHoaPz7Y/wz1tAju9Ys3Iyno2AF1gLHclKTuZeAATiQ4YycVjpDGMUhsGwATwPmYapo1MTPzPewALcGT80T7bBnRtDgK5KwPAw3OHgal9A/C/we+wAWCS8Zq/GzcDZRWSOJzPWkzPZ1QSsmFw37/rYYm/9k1CQCY7EUuOA7DjM2wCMLj/Tp+kOnId8PPdyOhIdaT7TrFP1yqvCz0CN4CG2Xc2WyYbRltk8via91GqA/LyRq8DPbC8s3iHVdc7tfTMcodMuMjeAvVKl22vPLHtFWJxXzE257qx+Fgg317skKEm0y3vRlx8DdgBeozFN2H9fHh+8bGtAvb5R2Js2FxAX4TNH9jaPJI9AD332JYUo99PZDzSnbh8MQfQQ4w+98gWIrPP3LfFsAT6uftie5QA74nRcdzZBJDyyPv5iXtidGLy3MSDYMb9aLB6lOuzxOjhfTIXLu3SHYZPZHu6BXTlzMcc6GJ6GH7kG/WjO6MD8O8EciS8g91l/P9X15l2tXVlTdj/Pm3I0E7SSQwISaABzxM2mBljJmNbQqRXpz3lp5x3PVV7n3th9fvhrDvoSviD61Tt2sOtLB7pNEpeWffiWkBHUidI8xyQ6hy5zSipABvA4VkBM44AR/eIv6cGXDruPJfS2wzO5/c01II+90+AEnAj1THxKL7BrJsMFMvniyX0+/EuODF/fE//HmQ5wNX0GzMzG4NAHqZe/m3+npi+OvLJxn4XfJpsgArQmW1vALsl57UBhZnmTWPNqcbqpPvvZRzvjYMhHvl3x3LmBXIA/WEsaU4cbsNtpFh8coZsH9eYXM77OTLcoE4D7vKkG/eIzQeW3qcN0AGwZPux42ukuwy2t73K4jxjdg+mf9NTKg6n3cYbgO+Wd2+7vlYqrYnRAT6Ou+Nw0mjLAi4bAeyOGZegfrtviS8Zv9+TyZafAXDOTxR/OyYH2FpieMflkumk14LRDXan0zDjDl53HW9vLSpWB8CAlsVGgERPIMPiu+uOvbmvtBrOO0yulBtsv6RzsfnLhUK6DYBvYMgRqwPyl3fLq+eRYpNsN5NvPIPZPRCSlzeorp2qODrYnrhgpkp3Jss8Chf+Ae2pdLLdifLXn8p9XqZ433I9Y/YHMeK5zej3xz+UeyNi9JDrsHGuBD6fVekN6GWyhfFG+ixAqbQXQOW3pnbvJb1h6g8GL58Beq5hbG0Ak7HVwaU3D+55k3BzjIZO6gURydQwujcHbTbqffdAS8faBjrfS7C373tjCMld5Xt4AzB6GGkAXOwcAy/F6PGSijabJ4MnC+d1HgG2/mak6XyNvHfI4bBhXK7CdNPm8m4skBOLz85X7apjtJ0j1+NInH3mzxitPTmzsw5T22XPFJrv17gcgJMPx3gLyQ6wATtL94jDic/DXec+6TNidKQ9gL14OyjJ6DC8YnDl0Q14yfGQ7MTf5xGHW6KbwZ0ys9MOq789WJZcRwXgqifQMd0Ad5pvMDopMyT74Y4ZXjn0nSW57PtbMPdC4Vjz6JsGNcCWyx5AT7DD4IA9GdzsnfH5XcXq5NWJ2V8D7pcLZWsDNm9SaphxWs//UE4duQ6wBfgXdwuyvR2rq1imJd1h8adPU7ozK47quJ/Lk4e/licC+h3F5w95DXKrzj1BDqsrfqerLUpfYXRGPWvcM+DOphYAnqwukMPaxNOAK9Z/pgMxt9haQPdnYmHADovGkd9TXp3vJrvyezFwMkEoULIRhAknBg8vgGf4Nyks0GYRjj4mlsDaAFd/A9kfMblAFoyvz2R8hVrJ82qGAT6HEAaqzTHOcwFQ2Dev88i/35Kf79iFV4GPwoB8nrz6PRf2qLiHmN0S3dLcKTRkeKbQiMMBPHl15cwB/onTaMTluO2Xxy6EIR6fnfbE6Om0m70tvz+c+IiLzoaQQFeBDOm0Yxag71bgewPoOk9+1Ktuu0w3ZDugj4IZzpHrXj6HwVnKneu8SafB5kcHzpFX+U6hzE5HTM5GYNmO+eY0mt31ZYNYRTIGPfIdZx12P9B5V0cYnVx65sp5BinvmD3kvOJ3s7rke7jsYvBXzqdvvzSLA3QKZ7iGyQ30u8HoABxmN5PD8LC7AJ/3iNGf0Jr6a121xl1AJz53aq0C/dGd8uT+LwI7JpxbUonRMd3CnFtrvawhzbhw2++t/VDWNNc9AAyQDLAANWCFkSeNnAbkAi5pNuT1dFg+cS8A76Ov2Rj4vP5mAF2sHV1vFfx8Fv8OgT3OuafQADXRKpZRPr8C9fp3M+6WRH8/LJh5yawGfhOWaFPTb0dKLaS9JXtjyiWg/7+jGLq1IThu9/jrZgNwAQ1FNCzYm/UnI7QvhgI3IE/wp3zPY02jCeBOrwn0raIXTDiDnHy643TibIPc+XKl0gB6yHabbJk3b4AOi1c2P4q0GWbbm9UajyfQzeoGvQCPGacFsM3gyplH3hxmF2MfOBYH6CyYPKU7RwO903LaYfBgcdx3yfquZTsgJ5UG0292y/7rnqvhFKe7KIYquf8FcgFcRtyijLiMyzdfLVQ2f02FXMp3jq8WC59rrQP2AHUwNwAnv56s/vLp3WbE8xNXxansleaWpwY+oJcZF9NkDPYYEwXIY8mEC+f9Wnz+Pww5gD4ezZdbLlxpcuL856/AVQFM33H0pctgDcQmJdcGaAK9MjqMiypoA5dNIYpZqoQPNq/fr5tCvL2VXDwsrQaa8ARuADhBLBMtU4TB1mb4kNGxQejfpM2DdBpVd1ltFzF/y1gD4IA5AY1nwUaS99sbQD6TcbcVgB31jPsr0K/lyeknCNMtUmm47NeBDosHyInPKas9IZVmUMuIU4EM0h3QI/FJrzmlpjy53PVGrhN3p9tuBm/J+JDtdtgBub/37mhVQJYxt98v74i1icsro1Pyasl+tkue3HF6FsgksPVZMLfi8X2A7mIa3HYBnXg8UmqS7ZLslu0A/Win53QaTL6N+ZYS3sxNoQyGG+WxAN0FMgn4xomX+YYBR/ot0muK0xPcLyzdBfaNAHp13ZHwxOUumIHZU6pTMFPd9tYLG9qsbgfeFXNUxwF44nOl1mD0cOBvAvwBTN4aMpHmG+DHjCNWH8e6ZcY2c/6FXI7VbAAGdYKQjYBnXDXX07ni6ojXU9p7QzAgxMzxOffbRTN6LuVzzZuHQZdyP4GPtGfTuHG/gjxShcoikGoLUCPJZfpJ6g+dZYjSWj2D2RjXCVSDtymGSaD/dWHXPq+vP9+Us1KuykpQY7Slg05sLja/IHVmya6CmACxS16H5d8Xjtcl29ulr0j484zHzeIYcnLkT2y4AXIBnZw5RTK12m1oky5y40j3NpATzJk3B/ywtBneFXJ65sA5cwM88uZRDZfyPaV7AhyDDpAjy50/N+MnuPVZrXwzwAH7mwA7QD/Y5brnYzB6BfheV0D3dcTjr+/qHik1VcAFmAE095LhBe7NjoGOEQeDY7xtRF37jdgchrcJRxlsAJ23oyqdRg4dsHNtoOt+vLQhGTzBzjVdbMTolMIK5AA810On09qMnrE5Up4YvMbjkU7jem3tp7I2ng/p3o6rka5idMwxmBh2J3b2ea1yy89anwuwkvaA0QqhzeRiTH4/5X/rqM1GIDfrAlzF7wFqwIQKwK3Oz7hO0HvziWo9wN0COZ+xFONLBcDE/JZZug10bxhtl70pmuHfYBkOszuV9hdMzyZxozpOMfe5G20E9DTbzm3yuW69FZMH2GFvAT6OPEeczn1ArEo33XNBjNz3s9G1stc046iES4edI/E3aTQ3uDhPLhlfgd4UxQjIR7kBJItHPXuUvqqR5XC5XBwMxObkwAE44NYxJDvlri6IcTkrIBfQo7xVEj5KWonlAf2bPQpkGib3eacc7jmdRkyOhD/Y6Zb97Z7j8l3H6WwEgFixOPE46bUoc+WolBv5dBx2VjB45s1hcc7ziERnqdHlFfXtC2Vj3U775vqCq95w2nHe1/8or5DrHMNt54jTToPL88fkz+lc88KQA+wcn+Z66jezwOwCugw5TLmY+vqQePyfct8B+4P7d8TcbRbHaXd6zUeu5boDUgOcGvW+nG2BO5pUUn4LzAni92ZmXPDcDPhcBTFTx+c1dZbPTP3bYvTpWPE+MT/X2gAk6w3q/JsGthmeeF059mT0KLzR98N0k9tfc+cOG/gtbQbI7TTcOMLOSrURG5vVbzI0nXDaGKg1ENiddkvZDvg5z2M9h8HpsCMO10YwUhedwKwOuoGd9HduYnFKz846LjyGHGt2QTUcHXfX69trSo3mFZpYgtE5YrhR+YasB+Ry0Sl7jUIYut0w5JDtSpnRkHLUs9MeaTSAbFbHac8CmdXy/pCa99VCoQz589Ojrhj/9KCjzrWLSLcZ7B2l1pLRnS+3NG/H4gA55bwk+7aBThMLsh3HHWBT+Qabi9m3w3jbppiGmvZ2Sq1T9jYx7SzfAbNXVL0FcyPpuZ8FNGJ9CmVeLrpgRrK9ATlgl+O+btcdw+2VcunXpfvGs8aQcwHNH65zf/a7WlTTkEvJLpDTjw7IH/xcngTIATugVqweL1Dk+gFlsLwq+Z4d9nTZATRyfm3tduF8bfxjWRvOl7XhD+XWl6mLVAAcQBWQJj2ZbBht9Jd/uWa4AWJYsxt5b+rXDfYvlyvl8yyc9tgkFIeHbOc8Dbwq3/m7M9fHszF8joIZ8uxibbH7SN/TJgLLy/kP95+NR5uOi2fk4Me/NwtyBH7CDdie0INCm2B6bSTI9pD5YnW65xKcbCAto43UHQAG9FrB5tc3iOw2swqQBD/tl8uzbrk67Zbp6bLfOIv8ZiMA1NSyvyfVFjXsF1S49eSsw9yk0wAxqbTsShOoT5HqfbntHGF0PYdkp4WVGneKZqh0O15RK2t13YnPlSpbUaupJTzlqj2B+N2+02VsApS20pZqWe5rmDqle3XdaUkNNj+OGvfjQyrgXP7KsS3Vcd5lvJFG26W6bakc7BroSPAE++Fep7zZWVEcLmedmHwr2HyrV/Zw13d8TUEMn2HIVcC/xqCLnPqmAQ5zk0rb3aCjzWs7mB6ww+o47TA615thwmWKTWabcuh22zHeNp/zXrXMoztWV+78mee408VGDE5Pevaj1+ODGEIBi4dsf/rol/JIbE6de5S+KsWG4+4BkQAddjeTO2/OVBlYfW30jzIefldufZr0qzQXi096uga8ny5XzNCcfxyVz5Nh+e+07yWW7NdONL4LiD9fesmN5/uTgb73hQ1j5t/QBgJYs8EF06+10XyejAsLoLPam4VURYAfFYB85+/6WUt+gC11EaGIwB2Out34NNeaHDxAV5wuwEcra+TRxehU1V2QumxsKzIAABBbSURBVPNEHW0W2gTwIdpyHxfdb5SF5VmkvehTvzzulOnxcpmddgVigK9c+TmvtBqWq7O+zDYku6T6O7M5KoBqOIw4QHxtAeyTvhZAz9SaDLgw4gC4pHuAvX0tZ73dYoo0r3XrdtjF3qTSDjtifphcgM969tgYsrYdMLMB1Nr2qHHPGD3jdDvrOPDZvWbX3eYb7N3Id0AuJg9mJ3X2ZpuuNUw4ZLtdd0n1lOyAf4vYvDHhdl8vC/xsADubHS+KZl5h2hncMDfXFMpUUIvNF+WkE5PnfSS7jDjYPcpdic1twP2utlSuNWwiXtqQKTUdc6TUo18KoH5MzjxBHswO0F0Jl+k1jDYmyHjIBEDXWvtRxTGS7aPvg83ny3gwV26Zjd1LTlye7FzlOHJbDBlFLcTsAfbcJHj282Qg5of9K5AvV5pzJs/ERsDn2hAiRQfIK1gl313qysbCfcAswAPoUAc1Pw+A2WRiU1DePUw9nm2A7XN+C2AC2JTzfEeegEy5lWD3BK+luRne5biAPMtvU8In8PltnHaXrCLP+wI24IbJJyde09OuNgCccvLkAvlZX8AX0MNwo3El43M3p3gTUDfauQ03zsXuZ2Z3AD85iTr1lsv+QYMq3I0mgJ9YstdUmiQ8Mp02VC9kuwpiKIFVcUzTsOJ43FVwydg3e8u5Jva20daS7SqKcZrNhpvz5gZ3R2YbwFZ8vm8Jfwiwic0zRpfT3jB7xuXUu7MAtYAdveiAW0UytKwqTl9W7F3j8XWKZAzwZHI+S1DncevF74rDidENdGJ1F8RwRLrbiHPRDIxOIwtz28XuT36LmXH0ov9iIw7pzkz3hz+XZ3qpYvSoK0Z3fE7lm7rXomMtp8kY5PPl/uh2mG/zZTxy/nw0vF2Gg9vllkAp5rUkvwn0dOEFdkAvljercw7A8zsJ9gQ6YDbwnW9H1nMvP+fIdzJsAJj6O6kOJkN9rmcC4J8vw5FP8IcqQHLXeD5aWX2NxL4B+EiPifnDiQeoku1I+mR1jorjQ6ZH7K/nWum2BHuadKT4PL2GCTYrkutMy5kcL4jRYXUA32Z0GN/fYcqN43YVyrSAnqAXw8tdN4MD8mRyjgCdjjRYHUArNj9u4nXutReSnZgc+Q1bc16vuQ+DB9ABO+dKn1HuGpIceW7JHnnzaF5BmqsiLnLlFMqoWIZ69ciVW56bwelSE6PvOxZP4AN6r8yldwvAB/Q23KIYRgBfKqpn33ZrKvl1szoAXxbIDXoMuZTtNuAE9PUlyXWAnUBX3jyYPBtaYHLF4Cp5pTIuJTvTZcibeyhFmm/tY7J6mnGub/cbVAE6rE5s7u416t5dFCO3Pd6vlqm1dNwVj4+/l8s+GgP2+cJxMJgvtwBesneCMK8FvI9ma8AsBofNZ14CvWre/YxBb7ByrgWwI86HnQXyiNXZBFIBJGOL2QPonOfv8D0xezB+Mrufd3igfy+VcTdBfxPoCdjWEUADcFJzrm6L1GDru8rRZ2xegR7lspLvOUOP2HxFsh2mllQ/Wb4GcoAOw0/PexGvM9KKjcHsrpJXKuIofQ3JTpyesXqCO2V8Al1sTsye9eutKjjAnfF5HhPwDbBd+OLJME2jClI9Y/Yq0eWyE5NnXJ595Ql2O+zpsqdkT+fdQDdbE5ezapNKAD1jdtz0BLoNOQPdDG93HcAj5RWvI9+JyeW6G+gYb7qHbMddx4gLCZ817BzTdQfoxOZy3jcs20mrEZt7soyr4kihZW17uu+W77+VdQw42Dyc9grwR/SiUyDDSxXvlMeRVlPZa8r3h25skeOurrUAeyt3TmoNqZ6LdNpoOFdBzvnqKtIdVr4ceQWDimkj1v5yiSxOOY6MhsUN2LohINFZk74WGwYABcQ61/WwfL2E0W3uJYC/TNcc+2tDSba3EtC/S7lz/iabiR16NgXODfyI0YPxkfCYemLdytYZu7uc9nrMbrYWuwPWMPfawDeDR8ltrVt3ii3d9nrkFdLve8XtpSuS7penS4U1Pe6UyelSmbxldaqMx1xTrE6uPCS7JP95zqAblatjx+gJdI5IeYy2BH2yeR4T7DA6LaeAWqaaBkq4zzzvCejhvsPwabrdNNna1wDexTDd1oSYjhk/GB1wJ6AT6JbxTIvpudyVsVD7MDVs3imHu4tidYBNCo1Fai2Bvr/Lvb5AvB+MDsiVOnuNCWd5n7G5GlsC0AniBDotqYCb663NKHVVSs395jLhqIAjVx5HwNyW6pLrrRhdnz39rWxGEwvgxmlHupMvT7CTL9c5OfRaKENLKj3pdxSXU/76+P4/o9y1Md8yLgfgFMZwpHlFLD6cU3yOfIfNe73b5RbxNmD8KgAahABbIAWsAuewfJmNBebPUwM6PxdDh9uO687zfJZHbQABeN2f9pvfno7KpxnmHcAdlC+YfYq32Xz4m2xABj3ZAZ6R6YZauHQcb5XQit31DMBuF9Y0/e7MdEvHPQGvZ4O5keHKrdM2yny7mKkH2GFpg97hQEp2QK7YvJVquxLY+x52eYYJxzDHxTI56gjoH4+XBPSPGHTE6+f96sQj0Sv4VRiDRM9qtyhzZaiEzDeXu5JOS1Y3wGkzdaFMOu50lgFsQK9ec8Xizo8DbFW6MTIq5rwxD65d8WYJv+x0mope6CVvF8C499xVbmZ3g9mAzvuAGbmuVJqOHgZpc64pkHG+fEkgB+xUwtlcW4wqODO4Y/MlA3yrJ0kP2LMYRoDfxHHvRBEMx07Nj8PcmxTGBMCJz5ksI5cdJo+0GhVvluuRJ3/RisvDfX+prjUPnciCGNg8Y/EXMDmvRg6QJ6uL2VUN96MkO+Ybi4aWPLdUny8PNRMux0XNFcpcAT5Oey4APxx+X0aDH0u3T4z+MYCpeDlAdbVavgb4AbI3gYFSZwBYn81WBWY+B+D5O19nvDKZ74wN+CuDUsw+8e9/DdDyXeLzz1cGsa7pM8/Yn5h+uqLf+XY5Lt9muPC0t9qxx4TzxjNWgY83iehnlzMfMl7xvI005DkS/6Z7nj3q3CdeZ6Clcu5RZ2/ZTrFNUy0H0BPkOO15nUfuXZ53yuXpYpkdL4rNP5wY6AD/A8wuCY8L77SZGZ0NArDj1vftsh+v1C418uM5vZXyV5fAwtDuIW8zeoI8GT2lOkdPjyVV1lN+vEmV2YCTEfcGGZ4szYCJFUl4niU/nvE6MTrsnhVvMuDUteZpMbC62P0gTLcDatntuCtXfgDAaWCx036013d+fGdJzC3pTkyOu55ptTDj0qCzdDejJ9B5fm+zK3d9W+d222F2A5vqt5gow3SZ9eUw3/4Qg7MJbL1aEsA5bzO521F/14goimS0nv9qx50XJkb7KYUyz5/8XtYfO48uFn/0W3n+0NId2U4uXW57Ou2AXG77z+VhNrO0xkYRqzNowpVvZnNAzmhn5LpMuOFPZXX1+9LvzpFHN3t/m40F5ArS2UjAAlzcQyojvQE9IOb499WwfPv3sHz+05uFN4AA+oxnx2JlgPv1z1ANkv7+PYCtDQCwA2r9jVH5GqEBDM6mIFUBqCPEgN0BO39PjB4bjeW9NwFCjGTsmyye92004to3OXZASqWb4nUGSnyIMdMc9Q54gB5OfCutRq4dt53R0oBfJhzpsrOexlZPTxbLJWbcyWKBzX29qDid9Fsb6KqEg+EB/0mkzHDYT/uK8ydHPQNdPecJbjvwAvuR75FGszQ3mMXmcS/vw/IAXWzPSKg3qxrb7PJVj2lWwYsq3kiZLau2Xa2nMfNNYN+h6MUMD8tzTr78eC+KYfbM/NmCykDHBugdt51uLdRcuqbGbDvGJoeObBeQSa8hzQPs3CPOJucOc+9uuSqO88r0GHRI86hyg80Vk1cWX1LbqUY8x5RXD3xcUG+5ZHvUsisGJ6X2nNZTl7zC9JLvz/+lmJz7GjChVyM7l056jVgd0D9rszouezC8gJ595zB55M8NeI+QomMt+80BOrXsFMboOJiT+TYezJXhYF5svrr6Q+n0EuhXA4Ea0CcjI5u/XhmoOge4wdZiYDG+70myhyLwM6vl65+D8vdV83sAWqCdDso3np2ueAFWNgJtHAYvvyEwxyYEoNlwfM9xOkBnI+C7aRrKM4jimSrdlX5zbQAxfXsBYi2AmyYc4K5xeKTkLvqujwfsF72mTTUMtwR3yneADhNjrAmsx90K9g8nCwK6c+odOe8wN0MjeHZ23ovlVJvAnXE4cv2kJ4lOT/nHE6a5Wso7ndaVXKdohlQazjuAFsAjRue89qAfdiXhAToz4ZHu6aoj5RWPH8LmncibMyKKkU+eHJNsfr5vkJ/sL5XjXT8LexvkTpEhy1O6w+5i8R261/qaB8dQRvrIAfjhFlNiPARSZhyynfp2RjqrFTXMtx2mx7j3HLAz741NQL3lNyremBMHowNwAO/jXUl4d6t54ARgT2Aj4TnnedgckL9cT/ke7anrvsfgx2R7OtUUkz9nnjttqX5hw4tHLnd1jB6vZAoJL4e9VduuOL1txlEsA6MrxUZFnKviDHKbcePx7XJ/MKe8+Xg0V0aDn0q/P1e63dvl1rfZoHy7GjqmFuuOxb5/X42L5fJYn4udI14XEMXulu+S8/E7Ynw2hD+H+p5+P6Q8wOTaKsKKQYCfObbnd/m3AGopiYjPATrf1UYU99KcM8i9MQjc5PE/RJOOJta4ai/r9NXwosacAHeMmeb+XwJ7S54DZEZnBcMrRo/CGkn794C5kewCeMx4S1bnpQ+XctyR7B0VzWDGTY8Nbti8WXSjUWDTlLWyAQB2DDdi7mxUkTw/YTKMF/E6AG5fq8Y9AF4LZrjmJQyHnfL+IF/GwLVBT/VbAl6gT4keDnu2n2bRjJhfk1xbbC4JbxlPHA7oDfwcKtFT3J3DJOy0L3rI416MhNolDl+MSrlllb/aeHMsLrecIRM46wI5Qx+XxejkzsXmm+4zR5rzjEy3DeLxRRlvAjy95dGwgtmWrrrGNxO7pwEXKTRe6gCDI9MBdwLcxz8KMboYvVXTLgdeYIfR7bZzVOlrsDvABuxUv8Hg7YUZR5zu/vNmsISl+4+K0ek5Zw1Hc16DebH6Sm+uLHa+K7cELIAOqwfIYHCk/N9Xa5LnCUCOFeR5fmXjLT+TRAfMIfOR92wabAD8pp5rOe/1e/kdbQrIfEt9jgBcMj/A7o3C8h8DD8kPyFkwfdbJM6QSeS6mb7XLAvpkczE5AE/AS5Y3m4CAno0xfMYknmB8vZgipDrARvY7RUYRzEqZqTvNpaxy3N/alIPNAb3eSpMSnYq3LG+tfeUrlusBdMANmAGwgR2GW4A9P1MOnXidstWjvpbi8DThyIkL7Mj2NOiWBXzevELsntVwMLsKYyJ3bkkfAyUqoAE1IO5EnO5ry/dkdE9t1cQY5rC38uLI7mq8weia6urj/o5HOFPnjhHnZZkuec4ASCR7dqdRJNMaBAnLp0ynEg5wC+AbCwJ7Gm2+54ESKdv5jKIYT49xjpy3tSTQk8El23Hiny3UppabYIfZxeSt3nPMOgFe02RoR7XjnvnzNOME9BgyAaMrPm9NkTHIPSOO2Hw0+IeKZAarc6XXmysLne/K/wGtZa3xZLMxjgAAAABJRU5ErkJggg==[/img][/td][/tr][/table][br]How does this diagram prove the Pythagorean Theorem?

IM Geo.3.14 Practice: Proving the Pythagorean Theorem

Which of the following are right triangles?
In right triangle ABC, a square is drawn on each of its sides.
[size=150]An altitude [math]CD[/math] is drawn to the hypotenuse [math]AB[/math] and extended to the opposite side of the square on [math]FE[/math]. In class, we discussed Elena’s observation that [math]a^2=xc[/math] and Diego’s observation that [math]b^2=yc[/math]. Mai observes that these statements can be thought of as claims about the areas of rectangles.[/size][br][br]Which rectangle has the same area as [math]BGHC[/math]?
Which rectangle has the same area as [math]ACIJ[/math]?[br]
In the applet below, Andre says he can find the length of the third side of triangle [math]ABC[/math] and it is 5 units. Mai disagrees and thinks that the side length is unknown. Do you agree with either of them? Show or explain your reasoning.
In right triangle ABC, altitude CD is drawn to its hypotenuse.
Find 2 triangles which must be similar to triangle [math]ABC[/math].
In right triangle [math]ABC[/math], altitude [math]CD[/math] with length 6 is drawn to its hypotenuse. We also know [math]AD=12[/math]. What is the length of [math]DB[/math]?[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAU0AAACfCAYAAAB9cYtUAAAapElEQVR4Ae2dC7gNVRvHS/pcSi5JipBCKY5QSG6JQoXKJXIvuZVLB10USaJCpaQiSlJyLUTkTiVFupxInaTIpRCFVO/3/Fff7O+cffbsyzkze9aa+b/Ps5+998zstd71e9f895pZa9Y6SWgkQAIkQAJxEzgp7iN5IAmQAAmQgFA0WQlIgARIIAECFM0EYPFQEiABEqBosg6QAAlEJHDgwAEZNmyYlClTRk466ST1wucpU6ZEPD4oGymaQYk0y0kCCRCAYFapUkVKly6tRHLTpk2CFwQT70E2imaQo8+yk4ANgXr16klKSopAPGmZCVA0M/PgNxIIPAG0JnE5HvQWpV1FoGjakeF2EggogebNmwtetMgEKJqRuXArCQSWAFqZQe/siRZ8imY0OtxHAgEjkJ6eri7NV6xYEbCSx19cimb8rHgkCfieAO5joqVJ0bQPNUXTng33kEAgCfDyPHrYKZrR+XAvCQSOADqBMIgdl+q0rAQomlmZcAsJBJoAxBJjNAsVKiQtWrSQzp07S/369WXo0KGB5mIVnqJpkeA7CZBAJgLoQYdQ4jVu3Di2PP9Hh6KZqZrwCwmQAAlEJ0DRjM6He0mABEggEwGKZiYc/EIC/ibw9ddfy5gxY2TChAmyf/9+fxfWpdJRNF0Cy2RJQDcC77zzjhqDiSFFeJ199tmSlpamm5va+0PR1D5EdJAEnCGAHnBLMK333r17O5N4gFKhaAYo2CxqsAkUK1Ysi2g2adIk2FCyUXqKZjag8SckYBKB9957T6666qosgonWJu5v0hIjQNFMjBePJgFjCCxevFiuvPJKJZaYgX3UqFHSsmXLkHiec845xpRFJ0cpmjpFg76QgAMEFi5cKDVq1FDiiMchn3766UypVq1aVa655hq1f+nSpZn28UtsAhTN2Ix4BAkYQQC949WqVVNiWLZsWXnmmWci+n355ZdLly5dpGLFilK7du2Ix3CjPQGKpj0b7iEBIwjMmzdP0HrEPcrChQtnaVmGF8ISzWXLlqnfLFmyJPwQfo9CgKIZBQ53kYDOBObMmaNWjIRYlitXTp577jl5/fXXJZYIWqKJslWqVElq1aqlczG1842iqV1I6BAJRCcwa9YsJXYQy/Lly8vzzz8f+sGuXbvk3nvvlePHj4e2hX/IKJqYbBjpvPvuu+GH8bsNAYqmDRhuJgHdCLz55ptyySWXKJG76KKLZOLEiRFdRGsTPed2llE0cQzWN0fHES0+AhTN+DjxKBLwjMCMGTMEIokW4cUXXywvvvhiVF92794tgwcPlmPHjkU8Llw0rXubCxYsiHg8N2YmQNHMzIPfSEAbAq+99pq6/IZYooX50ksvxe0bhNbuktsSzd9//10wPGngwIFywQUXyGWXXRZ3+kE+kKIZ5Oiz7FoSePXVV5WIQSwvvfRSmTx5csJ+/vzzz6q1efTo0Sy/xbCkRo0aSWpqqsycOVP27t0r69evVy3Zt99+O8vx3JCZAEUzMw9+IwHPCGCm9PPPP1+JV+XKleXll1/OkS9vvPFGptbm4cOHBWM5ixcvLg0aNJB9+/ZlSh/3NTF0iRadAEUzOh/uJQHXCaAliccc0bLE2jxTp051JM89e/bIoEGDlDiiBTlgwABBzzsuwzG4Pdw++ugj5QPGfdLsCVA07dlwDwm4SgAdOuedd54SKgjZK6+84nh+EGA8bz579mz55ZdfVPrWPc1ImeFZdfSm0+wJUDTt2XAPCbhCAEOFSpQoocQSl8PTpk1zJR8kis4eSyytTKKJ5saNG5VfGDhPi0yAohmZC7eSgOME8MTOueeeq0SpevXqgt5xLyyaaMKfOnXqCO6p0iIToGhG5sKtJOAYgfHjx6vOF9yzhGBh8LmXFks0N23apIQd9z9pWQlQNLMy4RYScIQApmTDOjwQS/RMY+ykDhZLNOEjlsbAcCdaVgIUzaxMuIUEckRg7NixctZZZymxrFmzpuDxR50sHtHcsmWL8l8333XgSNHUIQr0wRcEnnzySSlatKgSG/RCY+C4jhaPaMLvhg0bqsc2dSyDlz5RNL2kz7x9QWD06NFSpEgRJZaY1Ff3e4HxiuaXX36pyqTLbQVdKgtFU5dI0A/jCDz22GNSqFAhJSzoccZYSBMsXtFEWRo3biwVKlQwoVhJ85GimTTUzMgvBEaMGCEFCxZUYlm3bl2ZO3euUUVLRDTT0tJUOadPn25UGd10lqLpJl2m7SsCw4cPlwIFCigRQe+yqY8bJiKaCGDTpk3VzPC+CmYOCkPRzAE8/tT/BP755x8ZOnSonH766UosMdGF6TMBJSqa27ZtU2V388klk2oSRdOkaNHXpBE4ceKEPPjgg5I/f34lGOhJxgxBfrBERRNlvuGGG9R0dX4of07LQNHMKUH+3lcEsLbO/fffL/ny5VNiifXBMVGvnyw7orl9+3bFw41JRUxjS9E0LWL01xUCf/zxh1qQLE+ePEoc0Gu8aNEiV/LyOtHsiCZ8btGihZrv02v/vc6foul1BJi/pwSOHDmilnv4z3/+o8Ty2muvjboomafOOpR5dkXzu+++U4xyOjmyQ8XwLBmKpmfombGXBA4dOiT33HOP5M6dWwlBkyZNYq4X7qW/TuadXdGEDzfffLOUKlXKSXeMS4uiaVzI6HBOCBw4cED69+8vuXLlUmKJ4TRLly7NSZLG/TYnorljxw7FbdKkScaV2ymHKZpOkWQ6WhPYv3+/3H333XLyySerk/76668XLF0bRMuJaIJX69atpWTJkkFEp8pM0Qxs6INRcKy02KdPHyWUmKINQ2eWL18ejMLblDKnorlz507FM9b66zbZG7+Zoml8CFmASAR2794tPXv2DIll8+bNZcWKFZEODdy2nIomgN16661qFvrAwRMRimYQo+7jMv/0009y5513hsQSw2RWrVrl4xInXjQnRBOc0XLHekdBM4pm0CLu0/LikvH2228PieVNN90kq1ev9mlpc1YsJ0QTHtx2221qGY+ceWPeryma5sWMHmcg8P3330vXrl1DYokhMWvXrs1wBD+GE3BKNHELBK3NCRMmhGfh6+8UTV+H17+Fw0DrTp06hcSyVatWsm7dOv8W2MGSOSWacKlz585SrFgxB73TPymKpv4xoocZCHzzzTfSoUOHkFhi+MsHH3yQ4Qh+jEXASdHE6AS0NrHiZlCMohmUSBtezq1bt0q7du1CYtm2bVv58MMPDS+VN+47KZooQbdu3eTMM8/0pjAe5ErR9AA6s4yfwFdffaWGt6A1gxeGumzYsCH+BHhkFgJOiyYeHEBssGRxEIyiGYQoG1jGL774Qtq0aRNqWbZv314+/vhjA0uin8tOiyZK2L17dylcuLB+hXXBI4qmC1CZZPYJfPbZZ+oxPatliWEtn3zySfYT5C+zEHBDNH/99Vf1Bzdu3Lgs+fltA0XTbxE1tDybNm2SW265JdSy7Nixo3z66aeGlkZvt90QTZQYT2BhwTm/G0XT7xHWvHwbN25U041ZLUsMI9q8ebPmXpvtnluiefDgQfWnN2bMGLMBxfCeohkDEHe7QwCdOS1btgy1LLt06SK4NKe5T8At0YTnmBwFK3b62Siafo6uhmXDmEpMnmG1LPE0z+eff66hp/51yU3RPHz4sIrtE0884VuAFE3fhlavguFpnRtvvDEklnhOHD3ktOQTcFM0UZq+ffuqVTyTX7Lk5EjRTA7nwOayZs0awYS/VsvyjjvuEIy9pHlHwG3R/P3331W8R40a5V0hXcyZouki3CAnvXLlSmnWrFlILDFdW1paWpCRaFN2t0UTBcX6S3nz5tWmzE46QtF0kibTUrOiY5Eyq2XZo0cPwSOQNH0IJEM0jx49qurAyJEj9Sm4Q55QNB0CGfRksDjZddddFxLLXr16ybZt24KOJWnlnzJlippxqH79+oIXxr3aWTJEE3kPGjRIsDSy34yi6beIJrk8S5YskcaNG4fEsnfv3rJ9+/YkexHs7DC2FYPKhw4dKnPnzlWv9PR0WyjJEs0///xT1YsRI0bY+mLiDoqmiVHTwOdFixZJo0aNQmJ51113ybfffquBZ8FyAUJZunRpiSaS4USSJZrI97777lNry4f7YPJ3iqbJ0fPA9wULFkjDhg1DYollcRM5YT1w2ddZooWJS/NELJmi+ddff6m6Mnz48ERc1PpYiqbW4dHHufnz50uDBg1CYtmvXz/BUhM07whgdU10uB04cED9cWHEAl6xLJmiCV+GDBkiuXLliuWWMfspmsaEyhtHcY8MHQtWb3j//v3lhx9+8MYZ5pqJAGKDuGAwOS7R69Wrp96rVKkStfWfbNH8559/lJ/Dhg3L5L+pXyiapkbOZb9nzZoldevWVZX95JNPVuPusOIjTR8CuJ9piWZGryCeeFTVzpItmvDD8hUCarpRNE2PoMP+z5w5U+rUqaNORlxSpaamCta4pulHwGpphntmt906zgvRRN4Q+AcffNByw9h3iqaxoXPW8RkzZkjt2rVVxc6dO7caY7dr1y5nM2FqjhKw7mmGJ2q33TrOK9F8+OGHVf1C55DJRtE0OXoO+D59+nS58sorVWU+9dRTZfDgwfLzzz87kDKTSAYB3MsM7z3HPc6UlBTb7L0STTiE1uYDDzxg65sJOyiaJkTJBR+nTZsmNWvWVJU4T548ajzdnj17XMiJSbpJAJfiGHY0depU1XP+1FNPSaFChdQAd7t8vRRNDHSHcB4/ftzOPe23UzS1D5GzDuLkqlGjhqq4mFDh/vvvl3379jmbCVNLKgEIJzp/0LrEOy7Po5mXogm/IJoY9G6qUTRNjVyCfr/88suCkwUVNn/+/GrsHJZepQWPgNeiiUk8UA8xqYeJRtE0MWoJ+PzSSy9J9erVVSU97bTTVO8lVg6kBZeA16IJ8hBN3D830SiaJkYtDp9feOEFqVq1qqqcp59+ujz00EPqyZE4fspDfE5AB9HEBMUQTkxYbJpRNE2LWAx/J0yYIHgiBBXyjDPOEDyFcejQoRi/4u4gEdBBNMEbdXTgwIHGoadoGheyyA4/99xzqiMAFRG9qRgT99tvv0U+mFsDTUAX0cTia6ivWIzNJKNomhStCL6OHz9eKlWqpCpf4cKF5ZFHHpEjR45EOJKbSOBfArqIJryBaA4YMMCo0FA0jQrX/5195pln5NJLL1WVrkiRIoLxbybeH/p/ifgpWQR0Es0xY8aoOmzSLSSKZrJqqkP5YPByxYoVVUUrWrSoYPiGqUM3HELCZBIkoJNowvVTTjlFMNWgKUbRNCRSY8eOlYsvvliJ5VlnnSWPPfaYHDt2zBDv6aZOBHQTzXHjxql6jXlBTTCKpuZRwuVLhQoVVKU6++yzZfTo0YK1V2gkkF0CuokmyoEF2LAKgAlG0dQ0SuhZLF++vBLL4sWLy+OPPy4nTpzQ1Fu6ZRIBHUXz6aefVnXdhKfUKJqa1XaI44UXXqgq0LnnnitPPvmk/P3335p5SXdMJqCjaIJnvnz5pE+fPtqjpWhqECLMZo0nJC644AIlliVKlBBclvthlmsN8NKFMAK6iuazzz6r6v/evXvDPNbrK0XTw3hgMlZ06Jx//vmqspx33nmCm+I0EnCTgK6iiTLjkd9evXq5Wfwcp03RzDHCxBPAXIKPPvqoWgQLg3tLlSolGEpEI4FkENBZNPEYMM4JnSfCpmgmo5b+Lw+Mp8QgdIgkKkaZMmUEg9RpJJBMAjqLJjhgEuU777wzmUgSyouimRCu7B2MJ3WGDx8uJUuWVGKJy3E8/kgjAS8I6C6aEydOVOeJrmtUUTRdrLWYMAOzDKFjBy1LdPRgYg0aCXhJQHfRBJszzzxT7rjjDi8x2eZN0bRFk/0dBw8eVOs8n3POOUosMYQI92poJKADARNEE5Nno6Hx448/6oAskw8UzUw4cvbll19+UTOjYzA6Ao7B6bjUoJGATgRMEE3wKlasmHTr1k0ndMoXiqYDIcHCZEOGDFFBhljisUfMnE4jAR0JmCKakydPVo2PHTt2aIWRopmDcGBYBFZzxAQaEEtMqIHLChoJ6EzAFNEEQ9zi6tKli1Y4KZrZCAd69bAEKW5WQywxVdukSZOykRJ/QgLJJ2CSaE6ZMkWdY+np6ckHZZMjRdMGTKTNO3fuVCvoYdJfiCUmAcbSuDQSMImASaIJrhiq16lTJ20QUzTjCAXuqQwaNEgNuoVYYnkJ/APSSMBEAqaJ5iuvvKIaKd9++60WuCmaUcLw3XffSWpqqlrVEWKZkpIiCCCNBEwmYJpognXp0qXltttu0wI7RTNCGLZv3y733HOPFChQQP3DYUncV199NcKR3EQC5hEwUTRfe+01dS5+8803ngOnaGYIwdatW6V///5y2mmnqQBVrVpVECwaCfiJgImiCf5ly5aVdu3aeR4KiqaIpKWlSd++fSV//vxKLKtVqybTp0/3PDh0gATcIGCqaL7++uvq/ETjxksLtGh++eWXal2SvHnzqmCgMs2YMcPLeDBvEnCdgKmiCTB4yq5t27auM4qWQSBFc8uWLWpa/Tx58iixvOKKK+SNN96Ixon7SMA3BEwWTZyn6JT96quvPItHoETzs88+k969e8upp56qwNesWVNmzpzpGXxmTAJeEDBZNMELT961bt3aC3Qqz0CI5qZNm6Rnz56SO3duJZa1atWSt956yzPozJgEvCRgumiioYPW5hdffOEJRl+L5ieffCI9evSQXLlyKci1a9eW2bNnewKamZKALgRMF01wxNN4t9xyiydIfSmaGzdulO7duyuhxD/SVVddJXPmzPEEMDMlAd0I+EE00fjBuY3+iWSbr0Rzw4YNarZnwMSrbt26Mm/evGQzZX4koDUBP4gmAFeuXFlatmyZdNa+EM2PPvpITVZqiWW9evVk/vz5SYfJDEnABAJ+Ec25c+eqxtHmzZuTit1o0fzggw+ka9euocvwBg0ayDvvvJNUgMyMBEwj4BfRBHc84ty8efOkhsBI0Vy/fr107tw5JJZXX321LFiwIKngmBkJmErAT6KJK0pcYX766adJC4dRorl27Vrp2LFjSCyvueYaWbRoUdJgMSMS8AMBP4km4oE5Im644YakhcYI0VyzZo106NAhJJaNGjWSd999N2mQmBEJ+ImA30QTV5lobX788cdJCZPWorlq1Spp3759SCyvvfZaWbJkSVLAMBMS8CsBq2WG0SaxXqYwwB9Bs2bNkuKulqK5YsUKNQWU1Rt+3XXXyXvvvZcUIMyEBPxOAKKJ4XiY9jDaC48qHjx40AgcuE0HvcBIGrdNK9Fcvny5msHEEsumTZvKsmXL3GbA9EkgUATivTx/6KGHjBFNBLBGjRrSpEkT12OphWhCGNu0aRO6DEcz+/3333e98MyABIJIwK+iuXjxYqUhGIropnkqmkuXLpVWrVqFxBI9YLg0p5EACbhHwK+iCWKYjKdx48buwRMRT0QTnTl42N66DL/xxhtl5cqVrhaUiZMACfxLwM+iib4P6Mq6detcC3dSRRPN55tuuikkli1atJDVq1e7VjgmTAIkkJWAn0UTpcVsZhjD7Za5IpqHDh3K5C96tvBgvdWyxGeMvaSRAAkkn0D16tWlS5cuMTM2rSPIKhD6Q6A10Ji///7b2uzYu6OiieEL5cqVUw5jVvQnnnhCPRdqieXNN9/sarPZMSpMiAR8SAACYj0kgtULUlNTo5bSVNFEoUqUKBFqpHXr1i1qORPd6ZhoYq1wSxzD33H/Es+L00iABLwjgKVews/N8ePH2zpkqmiOGjUqSzkHDRpkW85EdzgmmpMmTcriaHiA+P3feT7JgRxYB5JbBypWrJioNtoe75hoWs9/hleG/v37y7Bhw/giA9YBj+tAqVKlsjRscH/Tb+dnpUqVspQTTxU6ZY6JJhzCRBoZRbNXr15O+cl0SIAEckgAiwlmPD8LFCggWHTQb4bhRtYiilZ5Fy5c6FgxHRVNeDV58mR1g5kLmDkWIyZEAo4RwPpZaFnivl96erpj6eqW0LZt22TkyJEyfPhwwdLdTprjoumkc0yLBEiABHQjQNHULSL0hwRIQGsCCYvm0KFD+Xy41iF137kDBw4IXjSzCGAhsvr166sXlovBZbof72kmEhXcogjvCIvFJCHRhGDixmrfvn0T8YvHGkIAQmitvRTJ5SlTpkiZMmVCnQn4jBORZgaBTp06SenSpQXnMV4pKSkqlvgcVEOdhqZhBVvrFUvj4hZNnFCFChUKJRxUyH4tN/5dsbKfdSKFlxP7UakyzkJl/Yn6uUMhnIPJ3xHbcIEcN26cEo2McTW5jIn6jgYg6nVGs5hk3Jbxc9yiCdhIHO84uWj+ImCdUDh58E8brxUsWFBQyWj6E0BcI10ZoPUZ1KtHq95njJ61nrrdLai4zg60JAAcJ1SiJ1VGZ/hZXwJWBUk0vhBNXOLQ9CZgxTXSVYF1Wap3CdzxLvyPBOcB7vuGtz4z5h6XaOJeiJWIBd86yTImxs/mE7DiG09JrGMjnYjx/J7HJI8ArgbQooxkOLebN28eaZevt1n1F1fOVgcZGEHvoulbTNG0Es7Yo2S1On1NNKCFs+Idq/ioVOgICr9HFut33O8NAYiinTBanUPeeOZdrtYfCeowXrhFARb9+vWL6lRM0cS/EEQy/BXp3kjUnLjTCALxiCYEE//O+EemmUHAThjRGAq/RDWjRDn3MtIficUjYyMxPKeoomndEMU7TibrFenmaXjC/G4mgViiScE0L66Imd3VIRpFOJ+DaHZ/JGAV7T59VNFEopFaEwAd1N42v1euaKJJwTQz+lbjJ6P3iKU1Jjdaqyrjb/z02e6PxBq3GY2JrWjix+gZReLhFmlsU/gx/G4mATvRpGCaGU94jft1GGNtPfkCscR3NIqiiYO5JY7tufVHggUd8Zo3b566lwkusRqEtqKJ63278XcQ1FgJx3abR+hIwE40ceLhssXqZQx/17Es9OlfAlYjx+olRywhGkE2aBh4ZHxB81D/Y5mtaMb6Iff7kwBalJEqDoYVYbvdy580WCoSyEqAopmVCbeQAAmQgC0BiqYtGu4gARIggawEKJpZmXALCZAACdgSoGjaouEOEiABEshK4L8PvMjSt2iz7gAAAABJRU5ErkJggg==[/img]
[img]data:image/png;base64,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[/img][br]Lines [math]BC[/math] and [math]DE[/math] are both vertical. What is the length of [math]BD[/math]?
In right triangle [math]ABC[/math], [math]AC=5[/math] and [math]BC=12[/math]. A new triangle [math]DEC[/math] is formed by connecting the midpoints of [math]AC[/math] and [math]BC[/math].[br][img]data:image/png;base64,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[/img][br]What is the area of triangle [math]ABC[/math]?
What is the area of triangle [math]DEC[/math]?[br]
Does the scale factor for the side lengths apply to the area as well?  [br]
Quadrilaterals [math]Q[/math] and [math]P[/math] are similar.[br][img]data:image/png;base64,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[/img][br]What is the scale factor of the dilation that takes [math]Q[/math] to [math]P[/math]?
Priya is trying to determine if triangle ADC is congruent to triangle CBA.
She knows that segments [math]AB[/math] and [math]BC[/math] are congruent She also knows that angles [math]DCA[/math] and [math]BAC[/math] are congruent. Does she have enough information to determine that the triangles are congruent?

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