
Vector
Características de un vector
Todo vector en cualquier espacio posee tres características magnitud, dirección y sentido
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[/img][br]
Leer por favor del documento pdf las páginas de 2 -5 para cubrir el tema
Precalculo de Villena - 01 - Vectores
Operaciones con vectores
[b]Suma y Resta de vectores[br][br][/b][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAq8AAAGpCAYAAACj0N8dAAAgAElEQVR4Aexdi1+M6Rd/59LUMDWVbjaiNloREdmIIreIVjYim1+5bkRkEaHVbjYiG5HLRkSkUtJ0m3ln/rPv7zMz7zvzzjRTM9M0N8fn02cyvZfnOed7zvN9znOe8zCgfyQBkgBJgCRAEiAJkARIAiQBP5EA4yftpGaSBEgCJAGSAEmAJEASIAmQBEDklUBAEiAJkARIAiQBkgBJgCTgNxIg8uo3qqKGkgRIAiQBkgBJgCRAEiAJEHklDJAESAIkAZIASYAkQBIgCfiNBIi8+o2qqKEkAZIASYAkQBIgCZAESAJEXgkDJAGSAEmAJEASIAmQBEgCfiMBIq9+oypqKEmAJEASIAmQBEgCJAGSgEvklWEY0A/JgDBAGCAMEAYIA4QBwgBhYKYYcJaOE3klIk4TEcIAYYAwQBggDBAGCANew4BHyatOpwP9kAwIA4QBwgBhgDBAGCAMEAacxQAfsSXySoSaJhSEAcIAYYAwQBggDBAGfB4DRF4JpD4PUmdnZHQ9zeIJA4QBwgBhgDAQuBgg8krklcgrYYAwQBggDBAGCAOEAb/BAJFXAqvfgJVm0YE7iybdkm4JA4QBwgBhwFEMEHkl8krklTBAGCAMEAYIA4QBwoDfYIDIK4HVb8Dq6IyMrqPZO2GAMEAYIAwQBgIXA0ReibwSeSUMEAYIA4QBwgBhgDDgNxgg8kpg9Ruw0iw6cGfRpFvSLWGAMEAYIAw4igEir0ReibwSBggDhAHCAGGAMEAY8BsMEHklsPoNWB2dkdF1NHsnDBAGCAOEAcJA4GKAyCuRVyKvhAHCAGGAMEAYIAwQBvwGA0ReCaxGsGre40bZaTz6yvoNeGlWHbizatIt6ZYwQBggDBAG7GGAyCuRV46savDmVBpi15zC029kMPYMhr4nbBAGCAOEAcIAYcC7GCDySuTVHGlVtaIkKRjKtKNo7qMILDkn7zonkj/JnzBAGCAMEAZsYYDIK5FXM3nV6TD26nekh4ohi8/F+fYhsCQfC/nYMiL6jpwrYYAwQBggDBAGPIcBIq8BTs5GWk5hx9at2OrwzxZkLlZAxDBgQhZgZ103NAEuI3I4nnM4JGuSNWGAMEAYIAzMFANEXgOcmGn63+BJaytaHf65g99W6slrEGLWlaHxwzhFHgMcIzN1InQ/DUSEAcIAYYAw4EkMEHklYiIgpxPoqFyNUEkE0n9rRp+GjNGTxkjvIrwRBggDhAHCAGFgegwQeSXyaiKv6jensTI0DtnV/2GE5GKSCzmS6R0JyYhkRBggDBAGCAOewgCRVyJpHEkbRP2OZGyofoNxkolXiSv7tQ0Nzd1Qkx68qgdPOWF6Dw34hAHCAGHAOQwQeSWCYCQI7CA6X3VDRfLwPmFSv8bJ1T+hsLGXNssRHr2PR9IB6YAwQBjwMQwQefUxhdDsy7nZV6DKS9VagqTQRdh14y3GCKM0cBAGCAOEAcIAYcCEASKvBAYTGAKVCPpnv8bRcTYDYZJwrDzciI8TROr9U4+kN9IbYYAwQBhwNwaIvBJ5JfLqQQxoPtXhl8wMZGQ48LNqEcJEDBiRElmXu0lPHtSTux0tPY8Gb8IAYYAw4D4MEHmlAZFIkS9igO3H37vjIQtLRXFDN22i80UdUZvIdxAGCAOEAa9ggMgrAc8rwKMZ6FQzUBa9dbmImb8JNR2jpB+yUcIAYYAwQBggDAgwQORVIAwiVFMRKvqbx/Ax0oJf0zfjj7cT5KzIPgkDhAHCAGGAMGCFASKvVgLxGEGh95Ix2sOA6hPe9VDElWyRJoyEAcIAYYAwYAsDRF7tEQj6nsglYYAwQBggDBAGTBhgu6uwNiIUcgkDhhEj+pcWQz7+aFcDjmb/iHlzFVhc0IB+LREuW4SLvnMfLoi8kmMyOSYyLPcZFsmSZEkYIAzMBgbGmvZhvlyGoKAgJ35kkMkVUEbGYEHySqzfUoDDZ2rx8O2QCwehqNC4MwIiURT2No9i+Fk1DpbXo7P3b+RHiiCOP4Q2Nel+NnRPzzTjisgrkVcir4QBwgBhgDDgJxhg+5+gtvIUThw7gsKsBMwRBWPprhM4c+YM93Mav66OhJgJQfzaAhw9fhInystwaG8u0hcoIGYYMJIQhASJwIjkmL/mF1x83Oc4iR35C9tDRRBF7kFjRx2OVbZiSKuDduAqsoIZBGddwwBFXsmeZtmeiLzOsoBppmSeKZEsSBaEAcIAYcCNGBhtwHalFEvLX0PNj2WatziZKoXi58v4zFq9S/0ZTQdTMEcSje21z/Dgcgk2JsyBSBKJ9LKH6Le+nn+m4FPdegBxYhHCc35DWXENOrkoq6phO8JEUqRVdoMVXE/6ttIBycYtxJ7IKwHJLUAiB0UOijBAGCAMeBgD4y3YHydFYmm7mbyq21GaKEXcfmM+6iSdaDpxankwZKmn0KnRQTf+Hn8e+AkKsQLLy59iZMoxUYOOimRIGAkiF+Sg6q2aGz/G0bwvCiJJMio6NDSmTClDD2MkQNtC5DVAFTvJYVE/yaESBggDhIHAwsDEIxTNl2LxkWeOk1cdiy9//Ay5NBWn3nFEk/2K5qJFCJKloPwVT0htkCxtLy6uCQLD6AnzM4zxeFK3oSReDMnCw3hG+a6BhTFexz726T/kdew9Giu2IS1eiRCZHJELV2J7+V1062eOPiZUag/phDCgg079HKWLJNA7GclPp/CWbJV8lS/46kDCpUvkVQf1qzIkSxTIuzNmxuRgHXLCJFhQ3IoJe3oarkfuXAYi5RbUD2hN92o6ypEsMVcfCFT/p/7vf/jRUGlBguSKDlP/A7W/vtwv/yCv4x2oWhtuTDTXJ5vzP7JNuDlCRMmXAUZt+47xGUgkwd5gTt/73wAeSLh0kbyy/dXIkEqRcfGLOT+V/YJLa4MgTa+anCvL4XziYSGiRGLE7m8xR111LLrPpkEqUmJX4wjUPW/RpTIT20AaA4i8+s54xvNAOPmPcfJ6w+X8y5wDswbvKldAxhNW4SeRV/8bOGiw/350FkgkgXAbOLgNJFy6SF51Q5eRGSRFetVnM3nVjeJmjhySlON4Y3OVRI2XvyVCIo7B/pZxMx60Q7iRHQJGlomajge4cOGBQxu/nOMBvkGaiLz6hh702OH5pLNc1HPkVdOB8mTj0iMjXYhd116gb3QMX7uaUZl/FI2jviNMXzBG9XAPXj9pws2Lp1BauA1ZaUmIjduCOsESj2U7tRhqPY6M2LlQxK9Hxb+D0NJAbXbMJAvXZRFIJIFw4DoOfE12gYRLF8kr23seq6VBWP/HkFmvbC/Or5ZCuvo8em1VHWA/omql1FAiq2lMMO6yvajNDkeIMhlbTregzybxFVzva3hwoj1EXn1Hj75PXsfqkRtsTBWgvLlpgKPtRbUhmV6QWmGIVIcg848+O6R0BLdzgk2zGCowPY2MnXB0lpOE7/C5gUQSfFDvqkcVOPVgwkw+fLCNPmkDgYRLF8mr+r9jWCJVYsdfgpzXr3XIDZMg/sC/9nNe/RpjKjyqOIUHE677YiKvrsvO3b7A98mrqg7ZMo68Lv4NL2kn4xSDlRYjgwMYUY9joP08NkaJTaRUnn0dgzYLR7PouZGDKEMSOgOGUjGmkK/vGK67HcGsPC+QSIKvDdrqDpxIjUXBfSKvTmM3kHDpInlV3d4ChTQVJ9/yZa2+obUkGTLJYhx5GpiYUnecQGpsAe4TeQ2IMc73yau6Fb/GcSQsaCXOdbMBIXinHa7Tg6cGXWdSEcTlCIsi96LZrtFOoLtuG+IkDMRxB9BKEwTCmNN4s0HsA4kkuEMebnsGi0+X10MhjiDy6opMAwmXrpBXtgdXNiohTS4zBoO+daDuQCqUEhkWFTXhq62UAVfk7Ev3sJ9web0C4ggir7PPPWyMBbOABd8nrzoVGvJCITKQMAmSyzvM9exmQSCBolh9PzRvT+EnPqIqWYbTXfws2wa4Ju5hT7gE8/Y0TVOk2sa9pAciu7YwEEgkwVb/vPSdduBP5EXqj/Yk8uqSvw4kXDpFXlmoPjzE+fxkzBXLsXTPSVQUZiFJKQEjiUDaob/wMSADF1oM/JmHSBEDEZHXgBmr/IC86jD813YoRcbUAVHkDvw1ZL8Mh3b4BWoKViE+LATBivlYses82uxcP/KuARU7VmFhuBxBslDELcvF0frOSeRt9NZmrtqBHHkNA3hZswcrYudCJo9Ecs4JtPT7aDRYGLVm5iKvQZDfZDXwqttLsUiWhLKXUxSotrrHpYFjxs8Yx79Fcdz53IkosyiozaLnQrox2iyOw4FWby5/sRj70oknd2txrmw/tmUuw4K4TbjaZwu7anTWbEK8IgyLt9TgtXAzxIzl5bnJhqb3PipyliBKLsOc2BXYU/0HihKmqPOqHcKzS4XIWBQJuUyOiITVKLjQhsFJkR8thl9eRsGqH6CQhUA5PwXZh2/gv2+2ZDm7/R1r2m0YBBlGjuy6IUEeuRB78TjUJrAj7TBe1BRgVXwYQoIVmL9iF863Ce+1bLO6rwWVBRlYHDkHsmAFohPTsesyV1NS+xX/7I6dVDYwKOMS+gRpQdqhZ7hUmIFFkXLI5BFIWF2AC22Dgp3lxndONBdw/QlC5h8D0PQ1oiglHMFz4vDzhU7TefeO+VXf0ZPQNzmLS8f6aqkz4fs8+rtd8iqBPGEd8vK2Ijc7C+vSU5EUFwYZN44aB34RZJE/InN3OepeDpp07dH2e8C/ab/+g92x5hQ6Y9+DkHFJsA9k5B0aKnZg1cJwyINkCI1bhtyj9ei0KsU5Zc6rg3auHX6JywWr8INChhDlfKRkH8aN/74JfIkXsDX2DvUlmVgcLodM8QPSD9Th1qEESPRBQ8lPOGVKL1Gj/chC7vtUnDEFxLQYupZlHHtFkShoth57tRh+UYOCVfEICwmGYv4K7DrfhiGBz3IWd35BXnXjT3Awnqs4wAQhpcJO9FXdheq1fJSW37QkgiKjGl0WOyDH0Fm7AwncRjBeCIZPURhWnxOcE63TwUxeg7F84zpEWDgABnPSz+GdxfO9AD6bTmAItRtkXN6rFKm/v580eBkAox3Anbx5iN7eYCcv1lf6Y2zHeMt+xIj1+jVG4jV837UDqM0KMfRXFLEbFjti+Ws89al+guIfrB2mDGtrBA6Tbwvbg/PpUk5PCmz7a9TvZsfaby34dRGPNd72JJBwkf9Jmy21KjwuXYIQLq3FbIMyJB16hG8Cp8b21iFHH2kUXiuOQdEjAUHkZTnbn6oGbAvTt0WE8Pwmc61L7RDqsuWGNopj9qNlnLcZNbqq1yLUymeIFBmoNjl+/lod1F1XkB3N+zpejgzkeQ3Q6bQYurcXP/CrKQJ5CMmrVvUYpUuMdmAhM1kSDj2yHCQtyetHPNzPTQwZCRLLXhpXuRz0qz6lJw4HTuPSwb46O9DO2vVTkFdZVBJWpCVinpSBJHIpsnK3IX9fEXauCIc4OAWlLX0YmzRRNGNx1to82zYqfL52CPf2/mAkWwJ7YRgzeR3rrMWOBPOmZbPNiBC2+hxeC6LR9smrg3bO9qIuJ5JbSebtW4yYokfeW1Fme3Fra7TVhFiCOXM4mbiBvKq7qrE21MqHixTIqO5yedLE68l3S2UZgMjiY3UG5Bz4RMpNuDEpgqXFUMM2hFsNEoYOiqJQcG/ETAjU7TiycPIAwQtDpNyBRsGMy0xeebBZfYrjUfLUCwOp0Eht/q5G26F4DpQiRO57YGMXqRZfmwoQH7EBV3t8NIJs3bexhyiMNhJDydITxvO59deoGpDHGYhiSz2Gre/z6P/VUH0bwcRYLx6WLjORtDmbb+LbpHZo8fVRGVYYSJEcW/70N/I6gfbSxTYGCLOdWJPXiee/IdEGCTPYoCQBJW38KgGLT1WrILUYeBgw3iKv2iHc3DzXSFLjD6GNH9jGmrA7wkhqI/eYSa12qAHbwq2ctqEvIkQV3LNc5Rl/gf8tsZ4AGGWoJ6/ab/exl8//t5KHmbxO4Lm+FqfV33nfJkkoQZsgsi8kr+sqa5Cn5NsqxaqqT2D1hNkhv+pjejLYmLO4dLSvPkTw7JJXKeL2t2Bcp8K/BxcjSJ6KE6+MtVk1H68iO0KCqK03bZfEmuSffKi/TrVNi2/39yLOEOgw+yKjLfDkVRBJtGUzIiV2NJq5gz3y6qids5+qsEpq3RbvkldV0x5E25QR186ZklftEBq2hVsRduOzRVEFuCfgWs5MmHif5uPkVQfdyCMUxfORLAkWHnxsjnoYAD2Eus1zuMjHNtzsVqG/pQRLDJUKRIgsaMY4D3yOvMriMlFyrRVdQ2MY7WlCUSIX/dLnh/JnPltEXhkw8iTsq+vAoOoT/toTzw0SvCH4mpFr0Xcpw7RpK+jna5PC9GxfPfJiIrHxmn6g8rX222vPGJr3cTNFyU8mXY0378M8w+QlBD9fHfDuMoxQlsMN2MaRAvH8YjzhCY/wGp0Wg7UbIZf54abE0Sbs5iOjknjsqH2NoZF+PD2bxS1JWx8PO4qm3Vz0QaRExulnGBj5grZTGVx6kAjK7Q1QGeSjxvPSRQY7E4XmoX5oirxtC3naw85Mv9di4GqWcTIiScGJTmN71G2HEK8fAERh2P6XyjRRHqrbjDn6QVEcg203u6Hqb0EJR1BFkQVoNkVotfhyPRsKbgAVR2bgWGMnBsatJ5RaDFzJ5JbnbOS8CnQhUmbg9LMBjHxpw6kMpXHwECmxvcHcPjN5lWL5z2sRNmcZSpo+YtQU+XbUr/qannTQCWTBOIRLR/s6Uwy58f5pyasOOv2qSEIQ5qSdQodh064G3ZezoJREIe9Wnx/5fRflph3AlcwgAzeYnPPKkVdZHDJLrqG1awhjoz1oKkrkJswSLDv9zhQdtEdeHbVz9fNSLNJP2kWhyKsfMj3XGdLm1mv1K0abjLyJEc3Fit8eoEelQve935DGR0pnSl6H6rB5jp6sihGz7Sa6Vf1oKVliTMU0pBgIDrxwwof7D3nVsfh8JQsKPrIqX4uaTwLHPvEQhVH6qIEYsQdajSF4fd3T1UZCKkkRROjUr3DpSDWeW+TMcaeH6AcPyRIcf2MeJM2R1yCknf1gApy69QA3q7MEuFvB5YQybb134u4uhHIDoiT1DLqEy0Tq96hZH4G4HQ0W+XK2nuNr343dL+CIqhTLK/XpEGq0lXBR5qB0nBdiY4YynHHfDSfQGJeUmaA1qO61lavJovvcSkRursMXE3Fw0Vl7uL/qf4u4NA4RlHl3zBMkdRtKuAmnReRV3YoDXARRknAEz3gyr25HKZcja66OoSf1HFkUR2NPk+Wy94x144Ks2M8XkWGYFMuQcakXWp0GnSdSjBPZuTm4Zcqxn8DDwigDaRTH8lU8tOitXm0cGAXkV6ftx5X13DKdOBYFTfZyYqcmr0KflHDkmWkpUp/TnmCIdIsQubfZtAJjJq8MpFI5Uk5YpkzpHParvqcnp3HpcF99yC4dIa86HYaa92OhdC5WnuH0q3mPi5lhkETn4XafYBx1wR68YYNOvXMa8vrq0hFUP7f0K+qX/MqQBEuOvzGP+f/9Dz8a7EiC5AouD13nuJ1rB2uRFWIkctF7mizSo5zqk7v0NN6EfD6wol9JMlUkEqzazpC8Go8U1k/gY3Gg1bhCre2txmpDBFqClBPm3HpnZOBH5FUH3cRzHE3kl/slWFjSZoqmavtrsDZIDwqezOgdzAT+yQ8zDB7mwdCe49GgoyLZOADZJa/6DVvmWYJpFsVI8NOptyaAO6OA2b5W/eKocabHMJAklKKdJwq6Mbw6lYaIJaV4orInEx/+fuweCrhoX1DaOXRPmE9is5iouMvIZ/QcAbkRx6GYM2AL3Y+3ozQlDadf+2L6yVQ4YPGZJ2OMHJtvDZuijjo7u7r1tpphsFUGih2NghWUcfyTz0UIpWk499E4qGoH6pBjSKlgIF10EK3exivbjXNpxknx3Nzb+Mb24VKGcblfnnUNA/zkQ9uPmrXGiI90eSXecxPHiX/yEaafhIsisZff2CAYRCzt1Fr2U5FXLfpr+JUWBXY08qkXOujG/zENUtK0c/jIt8W0YYsBE7IOl63SsZzxq76lJ9dwObMxxFpXHvi/g+RVpxvCvcIFkCrSUfnG6GM0XdVYFypBdN6twE4fmJK82taRpqMCyRxJnZa8OmPn2gHU5Rg5CSNdhIOt5lUQi/FgRuON7T7Zej77oRIrDCRShLCddwW+2LySMrMNW3qftNa4UiRdjsr33ERp4h/kc3sHhJNpW220951/kVedFl/qcsyVByJ2oZEbyDRvTyLFADZjLgXfMdOnLAe3BbleFgIZ68b9MzuwRF8yZMrIq/+RV/ZjFVZyOTaieYXc6SJaDD38FUmxWbjc5W9kiTdMwdKzLB1V/1YijZvJJZQ+N0WcLPTsIYdg651jf23jloRl2Hjjm5ngGdo0gY7TGVhV/lzgPPh++vqnGi+OGpf1GUkCStsFeLJDXjUd5aaBIeFIu0BXarws4/I1LZ6lRsfJZQg2rCBI8ENBk5c3Fmrw9tRPxlSGyL24/+U2cufq/Y4MGRcFZ8Vr3uJkCj/ZtuWXZMi5bSSY2r6LWMMRevmWPzFqF6tTkVcNOsr5CXgCjljo4iXKuIm/kBwLI69B6RfQI1yZMZTbc8av+pKeXMDlTMYQu/qaZft1mLzqoPvahL3xEihWn0OnIYihwftL66GURGJT7UefDL7Y8qVOf+cUeR1D9/0z2LFEaQxkMQ5EXp2wc33b1R0nsYw/NfSHAjQN2lqJm2XccHhVtx/hVmQEGzQNf3MXedXg7UluVYpbATZxMu7/spzbLo17/HN8P+eVdw7jbSjhN1uJlNjZaNzcojGF820NEvqTozbg+rA1IMbxsakcG+KtduYGUORVJzihjJHnoWFch7HX55EZm4yDLfaWJq3l5Jv/H7mbz1V+CEJSSpIxh0Yci6JH1mU6vN9+9atjSOJm8j+dMudQ6Z3ZaPsxpK89jQ5T/qP32+v4AKFG66986bIUnORyQA332yGvQoeZdOw/AXnV4M2JpcZBw1DqTECEx17gfyn8snoU8uptVG3gfYQHPvXHaxr0KUnAryfyjSks0jScFR6iovkP//txavK64boxUs12nUEqFwGJKDAv60/Ww1TkVZ+/x5e3ScKx/wTy07zBiaXGtggPIjGTVzHiS9oEujBi0Gm/6jN6ch6XTvfVAzibrH8r3+AMedWxGGzcjfkSBTLOcz5I041rm+ZBosxE9TsBXnyhb+5qg4PkdfxjE8o3xJs21xrJkSPk1XE7N+pzDC/+l8JNxsWIyqv3WtqeuvVXU+pjyknh6rH7yOt///uRmwjY5mayDddd2lztf+RVp8FrfnmfkYCP3GjencYyG2F+u8av7kZDUYoxh1aegM3lt3GrOMko5EAirxNNXHieARP0M668uo0d8XHIqf0waaCyKyt3ORF3P2ekETutdnKLwvNxd9TKwbv7vS48TztwBZmGyJolSdAOPUTxmjxc/2jOsfYvPQh260qSUd4h6Icd8iqMvC6cIvJqETnU6TD+6gRSDfliDMTRu9D41XsRC52pYokICoXCkJokSTlprnyhx4jmHU4vMxJGyZLjeDNFOT225zzSuRUS90ReF04ReT1iSh8yk1cp0i/0TNq847Rf9Rk9uYBLZ8cQF/yA223bKfKqg44dwF/5cZCErjOVamO/NGJPvBRzUivQ7oO+c8Yym5a8qtHdUIQUhX7PjBwJm8tx+1axKdgwbdqAE3Zu6sv4K5xI5YJm4mjsavzqlQ3G5lz42Yu8vju9zCavMsnCRTvyQ/Kqgz4RP5Yr7aAvIaOvIqAdvIr1fGUBwYYEmwLSDqPl1wRDHoY4Khs1r/XR28DMedWpH6N4PlelQRyB2Ng4ZFZ1uBSmtylLF4Hnnmep8PcOLkeSW4Iw5CB6tU12iPPEXewK1c88RQjfc8+4YUbbj4Z92Shttdws4B7Z2GmH22XD4kPlCuMGJNE87HsgiHrbIa/avkvmnNftfwuwOI4mQc6rRRTT0O5xvDiWzFXPCELqGcsItmflNmGOOHPpDEnHXllOCLWDuLremAs7bc792F/YrjBGJiQLSvDUlJturcepIq/C6iIKbP9bmPNq3pghTTuL7kk5r8ZDCrRW+HDKr5ru9QU9uYBLZ8YQU1+t9ePh/ztLXnU6sF/uYEeMBGGZl/CBm1CpWo8gOViGhH138cUqdcSzdjUL8puSvGox3PIrEvSBBXEUsmteG1J2nMt5dcLOBbgZf3EMyVyqUFDqGa/UiheW7lJsaxCU7nNX5FWLwavrTZUFTDn+Ajm4ii//JK9tB41laRgRQnf9YyQC6jYc5IrCi+OL0Wovv1VPdPtqsNaQcyJF2tluLtqgxn/HAjDyqulAOb90KVJi9ennXAmiWXASbgCks0BWNZhPX2OYYGRe+eKVGey07VY/w2Eu3UWWU48x3Rg6qnZhX123JeHxggynbfs0bRpv2s3loUtgQeBM0UmrUlnqf1HEnXijJ2qmHa7ql/iNy8s0lJEy7Xw1Y1X79TZyuRIuQaur8dmLA+1Y8z5E8dVPJAtx+Jn1sqsabQd/MNZZFsejuFVAJq1lyvagejVX41U0D3n1/XZwLCSvYcj/RzBZ0OfTmSb2EiwoaTNVFTDvnjaWDZzg3m+OvNomrzon/KoQR76gJ+dx6fgYIuyrV38fb8H+OCkSSwW54/qqHYlSxP3y0LSh2bKNLPrqtyFaokRWTTeX6zqOjqp1CJeEY13ABDc4vyEkr2H5+EfoV7R9qFlrTEcSTupMaUGO5LzqK904audCu9d+xe1c7lCloNWo/uyFqg8TD7BvnrG2s2hePv4xbYZV49lh/iQt6xO2+NSkHwUrbWp08rmtVidsqdsO4gdDsFGM+OJWQbDC7Nct8enY975PXtVtOLn9V1xu6US/SoUvr+pRnGpcpjNWFvjAkYm0wf0AACAASURBVM8xc+1IRoZF+VfQ3jcK9dgA3j64iKIjt9HP7QIWCjNmWx26hofR3VyOjAguQilZgINNj1B9pc2wscZcKsv/Nmzp2PeoXC4FI1IgraINw/xOaKER+fPvww3I43aiM0ErUcXtUHfFGGb1HsHSUtC6S3hRX4w9514KZrqOGeysttFVHAzdRi4XNdTXFj31pB+jw91oLl9jOjTEolSWbhT/5EdwdUdDkX7iMfpHB/H8bCZ3vQhheQ3GPCjtEOoPbEbp9VZ0DYxitO8fFHKn7UmSy9ExxVL8rMtq5C52cWkr4rgi/CscFDlZmo+TZSBblI8r7X0YVY9h4O0DXCw6gtv9fOoDi8+XM80HsShSUHi1DZ9U1oRYi0G+zisjQcqxl4KarPrapv8g33BYAgNRaDpOPO7H6OBznM3kioSLwpDXYK4IMS151TnoV31RT07j0sG+umons3HfaAN2KKVYWi44dVLzGuUpUoRtu2N/4x/bh5tboyAJ34gr3VyqDzuA5uJkyKXzkXf9vWniM+t2NBtyET5TO2iq88pIUnDs5ah5YiicnMVsQ13XMIa7m1GeEcEd7iPBgoNNeFR9xXAgib06r47ZuRZD9QewufQ6WrsGMDrah38KuVrx1ilXwvbP6u8qNGzjqh8wQUjIv4HXQyr0t/2OTFPtbiF5FVTOYYKQXNKCLyOD6LhZiGQ5l9NqRV51+gNc+GfJFiH/Sjv6RtUYG3iLBxeLcOS2vYn61GOiH5DXRyiK4Q8nsEr4lWfgooCsjD89bCoLxXeM/wxacxG9HHFju88hjQvX83+f/ClCRMF9/yevhpllOFLLWs31N6cwBvXAf2g8fwi5P83Hjj/NZcF81oGpBbuol06dV+jVPgjKqYgjkrGt8mkATSRUeFDIHytqZaNcOocledVhvL0Ui+1VB5EsQPFjLkqp/Yqr643lpqxtVLHV26eoDePPrQpDKsi8gmbbEYXxpzi8yM6mraA1uCis+Tv2FKVJtvsq/qHYVKFi5NZmbrOHWdbmE7bGpzztTLKgGI8Fq1LTk1cdHPKrPqknF3Dp4BjiTV/Cfn2JhsvVqPq9Aodyf4RCFIyUgipcvHiR+6lC4TI5RHMTkXOoAr9XVePynZf4arVKwX6+gdx5EoSvKcF5/t7qcuQulIGRRCG98DRuPx+clAftzb679u4R3NrMbfbk/JHpeFhD2TvbNif0N/zhBvbIq84hO9fi69X1XNqT2XYN71FsRf2kDeVTkzfXZDH5mWOtxdxKtlWbeFlZ1HnVQU/UI/gVJ/4a4ac1edWN4+lhriKN8DrD70FYc1FfK3tyu6brH68f3602oLZDXsWRyKp5a7nkqh1CyyFu17mFkEQIzb1lLq+j7cOtLVbnCwctwPaibMwzHZMmxaKj7f5PXp0CxQQelKQieaG+TIgMufW+T17NdeoksNz847wxTGcsM/v7KG5tkhkj4OVt0xen1n5D+/k8LIkMRpB8HlLyKvHEmxuUpsGRtr8Bu+KsSFqQAooQ45KUNXnVaYfRejh5EgnTl5tKLH4omGgNoS7bqhqI3rZDUlD+fIpl+GnaOzNd8tjS4mtdNuZYHSFp+WwthloOIcmQj285OIhCc3HLqkzOeGcNNsyzkiPDQEhe2fdnkWb1PDN51UE73IrDydaDtb7iSiKKH1pWGHGEvOoc8qu+qSfncengGOIRfPE4s/wcbdyNefYmfhbjnhlvksidaJh0DCeLnht5iOE2CvJkwPwpQeQO/qQ7yzZYYtzX/8bi/dk0Y96lST78qZha9N3aYjoJ0Nj3ICzYXoTseeagmXTRUcMmR7vkVX+MsgN2PlSXbVXNQK+jEKR4s0yidhBNe/nTQnnMiCGTcaTeirzqxl+gfKnVMdbieVibucS4MWsSedVBO9SCQ0lW9+h1IQpF7q3BACWvulG8b6pEQcaPiAsLRlBIOBau2omTTd2283nYr3h6sRBrEyMhDwrC3JgUbC69jTcqfnnOaGjab+04v20JIoODoUzahIrmXqg1n1BfsARKeSRSf7mFLq50kV+nDbjgZLVfLmNdkD+QVy36Lq/jSmRF45cWy/w/33Kw42jcFYe0Y48FxMy+01c1H8XO8vv4MDSMz61nsSFagvAtt80F8F3Q62zLY+JDAw6vXwRlsAyhCzNR2tCAEi7qOIm86tvPDqKtei/WJIQjRBYC5cJ07Kl6jAHrCNHXdlwpzkJylBzSIAXilu9EZeuAT0SEtP1XsH7eFtR/s69LnY7F16cXUbg2EZHyIATNjUHK5lLcfqOy6bTVnx+icvcaJETIIQtWIm5JFopqnpoirzrdGDqvFWBF7FxIJSGIXLwG+RefWywRs4NtqN67BgnhIZCFKLEwfQ+qHk+WmUPk1aCr6f0q66N6ch6X0/d1tm2Jnj+VPbnwt7FOXCtYgdi5UkhCIrF4TT4uPjeW2dQZAgXbDIGCYGUSNlU0o1etwaf6AixRyhGZ+gtudRkDOfbJq75NDtg5+xXtV4qRlRwFuTQIirjl2FnZOsnneVz/6k+4W7YRSREhkMljsKLgD9QW87mtwrQBo+zVn++jfNOPiAyRQR6dit2XX6LnapYxqmyDvOr7w359iouFa5EYKUdQ0FzEpGxG6e03ULmYyshPsnw38uqDg7THgeVpGahuYKPMH8jrEG7mGM9lFil3ojFgyryMoeX6bXwykTgWPefTIYvejxa7u9BdcOiexhW9T0BASV8B70cJ74R3v8WAvWoDvuO3iLz6LbhmEUT+Ql5H72IXdy7znM03HYpo+uuAOXx9I+amnxcQ2lnUP9kEDbqEAcIAYeA7xgCRV4uILs+U/ZVAfDft9hPyOvGoCDGGHGUZ1l327olLs4sNFe7uXoqdDa7lBs1u24hEk3wJA4QBwkBgYYDIK5FXf5y9+gV5VaO9lMvJsT6W0x9lPkWb1a9/x5aCO+gzpRHQQBFYAwXpk/RJGCAM+BIGiLwSeZ2ClPissfoDedV04mQKd/RmcoV3633Opo5Vz1BZXIV2U/FoX3Jw1BafteHZxCQ9+zteTiab/z5snsgrkVd/dPR+QF7ZngtIN9Tq1Z8k9NSyZJo/ytxWmye6UH/qItqGLCtlfB/OkwZJ0jNhgDBAGPAOBoi8Enm1RUp8+jsWo52nsUIqRfq59xjzyaVqLQauZRnr5YmjUfjQ9+vROu2AxrtQV3YC979wxFWrxlDHLdxoGaKoj0/bDw22TmOd9Ek2TRjwMQwQeSXy6ldGqT/6bamx0DBXzFmafgE9PkdgVbiTpz/ZiIFIuQN/Tyq+7ecEQtOFK9nRFnowbHaU/4wrfRSFJXLk5/j2K59IsiZ7+x4xQOSVyCs5ah+bUX6Pjoj6TAMwYYAwQBggDAQOBvjqVRYk04H/MA5cM+kS/mUEoMABEOmSdEkYIAwQBggDhAHCgCcxwPPJSURzmi+IvFJElSKqhAHCAGGAMEAYIAwQBjyOASKvBDqPg86TszN6F0UDCAOEAcIAYYAwEFgYIPJK5JXIK2GAMEAYIAwQBggDhAG/wQCRVwKr34CVZs6BNXMmfZI+CQOEAcIAYcAVDBB5JfJK5JUwQBggDBAGCAOEAcKA32CAyCuB1W/A6srsjO6hWT1hgDBAGCAMEAYCCwNEXom8EnklDBAGCAOEAcIAYYAw4DcYIPJKYPUbsNLMObBmzqRP0idhgDBAGCAMuIIBIq9EXom8EgYIA4QBwgBhgDBAGPAbDBB5JbD6DVhdmZ3RPTSrJwwQBggDhAHCQGBhgMgrkVcir4QBwgBhgDBAGCAMEAb8BgNEXgmsfgNWmjkH1syZ9En6JAwQBggDhAFXMEDklcgrkVfCAGGAMEAYIAwQBggDfoMBIq8EVr8BqyuzM7qHZvWEAcIAYYAwQBgILAx8h+T1G17+eQOtvSyRNiLuhAHCAGHAQQx8e/knbrT2gnXweiILgUUWSJ+kT1/CwHdIXtXoOL4M4cuO4t8hIrC+BEZqCzlHwoDvYkDdcRzLwpfh6L9DRGCJwNOkjzDgVQx8h+RVB3awATuiJQhbWY7Wr0RgiTD4LmEg3ZBufAYD7CAadkRDErYS5a1ficASefEqefEZuyAceAUH3yV51ek0+Fi7CZFiERQpxWjs0XhF+GR8REwIA4QBf8KA5mMtNkWKIVKkoLixBxoauGnsIAwQBryAge+UvOqgY7+gsWABpAyDoLhsnH1KS2H+NIhSW4n0EQa8gQEWXxoLsEDKgAmKQ/bZpxhivdEOeifhnzDwPWPAr8mrWjWAvr4+13+6m3F02VyIGAZMSAK2VLVhkBwxzSK9MIv8np0Q9d3Dg7BahYGZ+M2+bjQfXYa5IgYME4KELVVoG6T0K8Kxh3FMfvq7Hqv9mLyq0X40ERI98XTXj0iBnLqh7xoQ5IDJARMGAhsD6vajSJS40W8yIihy6jBEZILGDsIAYcBDGOB5H5z8xzh5veFy/mU+MziqnqAs1Rh5FYeloOByOy2BeQh4PoMB6i85W8KAkxhQ4UlZqjHyKg5DSsFltFPlFidlGNgTJPLvpN/ZxgDPJ53lov5PXtnPuL0tDhJGhDlJu3G9c5ScDw3ihAHCAGFgSgyw+Hx7G+IkDERzkrD7eidGp7yeBvHZHsTp+YSx7xED3yl51aD7chaUIgnmrTuNNooa0IBNAzBhgDAwLQY03ZeRpRRBMm8dTrfRJtfvkTRQn4ks+wIGvkvyyn6px7YoKaI3VqNjlIDoC0CkNhAOCQM+jgH2C+q3RUEavRHVHbRSRXj1cbzSZHTayag/Y/g7JK9qvDy2FFFrzuDlCBmfP4OX2k74JQx4DgPql8ewNGoNzrwcCehBkTDlOUyRrEnWrmLgOySvKrxpbsIrKu1CAxDNzAkDhAGHMaB604ymV4N0shZhxmHMuEpM6D4itdNh4DskrwSK6UBBfyeMEAYIA4QBwgBhgDDgqxgg8kqzaJpFEwYIA4QBwgBhgDBAGPAbDBB5/Q7AOvq2HqW/1fkNKH11pkft8uUohAadV8twuqUPmu/ApgmLnsTiGN43lKH0Whf5ULKt7xYDms6rKDvdgj6NJ23P/ruIvAa0MWrwqfEgUqPisfnif9+t0dFAb98BBJJsVE/KkRY5H9lV7fgW0Hb9fejTJ7Cp6UXTkTREzd+Iqucq8qFkV98vBlRtqFg5D/Ozq9D+zfs+iMhrwBqjGh/qdmKhYgF23v5I0aiA1bP3nYhPkAyDflkM/VuKlLlKrCx/TKflEeZnRjQ0H1G/exEUP+Thxgf1zJ5FuiD5BQAG2KFWHF2mgHJlOVq9XB+fyGsAAGoyeWDxpakIiSEKpJ/pwHhA9pFI22S9k0x0Og26a3MQJQnH2qoOjBH2iTS4ggF2EA8OJkOuSMOJl2MkQ1dkSPcEJG403TeQGy1B+Npz6Bjz3phD5DUADUzz4QqyIyVQrL2ALh/JTyGi5T0j/+5kz/bjzo4YSIISsL/5K5V2CkAfN7uY1k+ANiNKosDqc2+hJvkFJAmbXQwFsr9n8aUhH3GSICT8cg9fWe/0lchroDkmzTtcWKuASJaC/72cIKcTaPql/jiEabavFpv0x5jG7sSdftahe2gw884g5Gty13y4hPVhIgQtKUP7OMnE1/RD7fEBTLJ9qMuNgEgSgx1/9nslQEDkNaDIAIuPf2QhTCRC+JZbGAyovvmAwZI8/YgEqvHq2FJIGQnidjd6LTpAA62f2S3bg2vZSohESmy+8cUrgzJhxs8w852OC+qOCqQEMZDE5uNvLxz6ROQ1kIA3dBd7YsVgJPEoekR5WjQIfN+DANtzCZlzGDDSH1H6dNyPiPf3rTdv2u23e/swX8JAHFeIB6OkB2/qgt7t4/hj+/BHlgIiRorEw20e319A5DVgyKsGnafTEMwwkCwoxuMJHwd+wMid5Oy7g8xX3Nisd64iKLL+wGcv5Wb5rnwIuxa60bxD5aoQMIwEPxQ9oo2u5KNpwjsNBoZubUGYiIFIsR41nzybnkXkdRrlWDg3X752pBn74sQmxzvhy22ltpFT9BAGBmqzoWAYMJIkHG2nHHC/8WcewodQHqMt+/GDhAEjjkXhA4rUC2VDv9NEzyYGvtZhs0Jk4B2LDz+FJ3kHkVcvOEmbIJhRO1gM3NhsmAExIiW2N4wQOZqRPMlRuR+j3pEp+/k8VssYMIwYMQVNGCFckG+wiYGvuLU1HCKGgSh0K+pV3sFroNgd9eM7wQ/bh4trZdATSXFUPho9aDdEXm06Mj8DHtuLmky5AUCMbC0u0u5qGqADAdfu6IP6JX77UWKwDZFyK+qH/My23SEDesa0/oDtu4IsfX40wyBo9Xn0UorJtDIjgkq+RKdTo+PYEkj0q1uiUGy+Megx3BB5DQDHzvZUIyPE6HglCYfQRvmuHjMgcuC+7sBH0bA9zBBR0zvX3LohwkYA+Dz32h2L3ppMyPUDMCNB/K+tHl3+dG9ffN0eqX2Bpu+xxl0IF+ltRwRFdi0GPDTxI/Lq946cxZc/sjjHy0CeXUvnuvu9TsnBu8/Ba/DuZKoxMsCIoNz2J1SEDyLwFhgYRG32XOPKFROMrCs0wXGf/ZEvC3RZarp/R5o+V1yfcqPIxU0PrW4RebVwYv5oaCrUbw01RpYYCRYcfEJRA7/XqT/i0HfbPNaw3ZgPrs/Lit6LZio8T+RV6CNGGrBdqd90ot/YF48D/9LGvkAnXNQ/N/rrsUbsCufsRxSJ/MZRj/gX/yOv6mH0vH6CppsXcaq0ENuy0pAUG4ctdQPQCh2S4HftUCuOZ8RiriIe6yv+xaDWjYoTvMcrBjHRigPxxpw+hpEio7rPtcLa7BgGup7h/u1LOHVkL7as+wkLIhdi551+m3LV9D3EiZxEKIPnIC6jHK1DWo8A1iRjf2uvt3Eya+9nMTbQhWf3b+PSqSPYu2UdfloQiYU776Dflp1p+vDwRA4SlcGYE5eB8tYhm/gy6dkN7Va//A1JXGSAkSSj7D+1Z7Hqhj64Lg81hnte40nTTVw8VYrCbVlIS4pF3JY6DNjSj76t2iG0Hs9A7FwF4tdX4N9BD9u2h+U18eQgFvL4kKaj6rPrJX/YsQF0PX+IhqvnUH5wD3LXLkNCVDx2Nny1i3O250/sXaLE3Mhl2He72zvH0Rr86XM8bLiKc+UHsSd3LZYlRCF+ZwO+2sMJ24M/9y6Bcm4klu27jW51AI2rHsagTfv2F52o/8OxJTwHkWBxabtHMOxn5FWL3uo1CDLkJhnD1HwHQjL/QJ8dIxu5nWOof2q4VhyPQ22BM3ixHyuxUsrJQqTEjr9cO5xgoikfSkPeiqVcxdG7cdeKmE501WLr/CBumU1/fRDSq3tcI80uOgl/a69N5+Ri333qWRNNyOejVkK7FEdj910rYjrRhdqt8y3sNyi9Gj2znSM1WIPMIB7Xwfj5D89tKvC2rrS91Vhj6jsvAwZMSCb+6LNDSkduIyeYv1aM+ENtHhmMvCMrFp+r0iHlsCtS5OHPMVdJ2AQeFkZxq2C8/IyfstUX8MkmzjXoOr2MS2sxLrvetvK3npDLxMNCRNnw/4xsNS7Yqd+p6TqNZTzpFymQe9vK3gPBv3mxD/6jkyFcyTJWHNBzLFlGNfpsYt1Vu7J9H8/94OQ/xsnrDZfzL5uJMWpHBjEwosb4QDvOb4yCmB8w5dm4bidCwPbcQE4UPzOQYdPNwCklNXZ3NyJ5pyNJQEmbi0teWhaslsX4t09ov1mM5YbabXrHK0N6VbeJmGq/3EXBAiFx1V8jRerv703XzES/Dt/rb+31ohN0WKYutVELltWCHf+GT+03UbxcfygAN2CnV6Gbd2LaL7hbsMCCuOr9gTT1d7znr3Hp/bYdm0Wfxxqww0Swv7MNOdoRDA6MQD0+gPbzGxElNuqGYeTIvj5oOxrI9uBGTpSJUMk23QzgEmPjuFdgHkdmesCLWjUE1bga6uFutJxeb/bNwVmo/WprsqDFwA2uFrHebiQJKG33QnBFrcKQahxq9TC6W05jfSS3DKzPAa61HTXWDtxAtoLHkwQJHoq4Wdj2bPkMX3iu3+hkDI35kSa/L44pxAMPpGbxfNJZLuo18ioErqbrDFL5qIIoEnub7RO3ie46bIuTgBHH4UCrm53DxDNU5eciJyfHPT+5O1DpEAll0SOIGjCSFTj9XuOGJVEt+us2mSKxQennjVED9jPqciKhXHEEdz8M4H3TcWQnhEGZlI+b3a4vtQl16trv/tZeBwiXLzhPF9qg7a/DJp4oBqXjvCFqw+JzXQ4ilStw5O4HDLxvwvHsBIQpk5B/0zwxck33Dshy4gkOLuAnrwxkWVcw5ELfZq19nmqLpgtnUvmJpwiRe5vt58dPdKNuWxwkjBhxB1pnOfI6gWdV+ch1l//MycWOyjbH/CDbh+o1UtMqkmTZCXRqHMCUIzpTv0RZIoc7yUIcfmZn3NH0oflEHpZGSMBIfsKpt+7w4TPpgxovyxK5yYsECw8/s6N/DfqaTyBvaQQkjAQ/nXoLjSNyoWscw6aFnHxZJxN4eniRabLLBGV4pFynX5NXneYtTv3ED0oSLDvdNYXxTODennBI5u1B08hMDNvGvWMN2BbKz1T5mehMPucg97YjSc8TeFy8QACadagZsNE+CyNw8O/jj1BkOLFLv8S4AbWDLL425iM+8QAeeGFZa1ri4G/tdUUnfnHPOB4VxXErIiHYUDsI9msj8uMTceCBl5YVNa9RnsL7CQaSJcfw33eZn6fB21M/mfyFZNlpdE1B1Cbu7UG4ZB72NM32StUYGrbxm05n4jfN987Jve0YQZh4ipIEMzaka9y55DmOpnwlF5GSY+udqVO6hm9sRHBsER75QKnDcUEamXzrnanPrR++gY3BsSh6ZD94NK3/9gvf5uDYOUt98V2daPD2BF/RRb96sNgjqwf+TV51arT+yg+UDObmNdg3MnU7ShfJkFT20s4scgbAZAfw+tEDNDc3u+fnQQs6HDpoYAwNO7galvolp5DNqBudQT8sjG4UjTs4xytSIr/+AUqSf0JZ+9QO2HtOyk/aq+7Fk9rfUV5xFjfbBxxMtfiG139fwInyU7jc/AGjFnqyp+8J9LRew5nyCpy99RyDs700L2jTaOMOLmovgjK/Hg9KkvFTWbt92xTcOyv4YT/h7CpzdE0cs++7rTigbv0VcXzqwNw8NNjN71SjvXQRZElleDnrRJ/FwOtHeOAu/9n8AC0d/Y6R17FG5EeYAw+y7Fo3pkgIJwtSpF+YYl+AdggN26OQUOLZIzbt2Zvm7Sn8xOWzStMvTJGXrsVQw3ZEJZTgqRdJt7r3CWp/L0fF2ZtoH3BwFfDba/x94QTKT11G8wdHgkU66CZ60HrtjMF/33o+6KD/tuejnfved3XCovf8alPeOGOoODD7PMHPyasOQ7UbIONy7Oznz2kxcCcP86K3o8FOXqw9I/bt779ZJEozijzUu428ajFw9Wduo5sIyqhoJJe0OUicnDNK98jYH9o7gpbiBHPep3wZjr+ys5RoInQavL+YaSr1xEhisKtheqepat6PBfxGPkaOFac63D9pM7XRUt/agav4mdvwI1JGITq5BG1uw6XluxzDzldczuSXyxkwiq1utBM77Rn/17RyIUkswyshAWR7cCHd2B5x3AG0enLQH6rFBsNxuQwYaSp+f297oNcO3EHevGhsb7CTF2tH947pw47MvPHMkevI5uXBMJDn3nKrjxu+vpEbnyRI/M1+4GT8RRmSlZm43GNbHx6X6/B1bOTkIkn8zf4EZvwFypKVyLw8BTGfbb2OtKA4wWzf8mXHLe3N1vs173Ex0xz4kcTsQsPgdLJXoXn/AjNJk6/AqY7p/Lcbse7DOlFdzTKPa0wwsq/P9mqNzpTq45c5r3qDVrcdQjwXSRBF7sMDGwOB9msTCuIjsOGqFw3MlgHN9Dt9vlaGOaIkUu6YIpLivBEZcoq52bdIuQX1NjccOP/c2XLEPt/eiUco+sG8RKk/zSfleOcUqS466Aw6Njtm/Skmyh1/TRPFHEdzYYx5MyPDQLL8NN5PsUTsVp0Yciu5foqU2FJve8OHW985pS2pcG2DQIaybNS6O3Vo0vvH0bKf04EkGeUd5jxG7UAtsgwn4okQsbtpGl262b7UbTgULzY6flEk9j2wsdSr/YqmgnhEbLg6RcTNze2aJD8PPd+iEoUIirw/3aqPifsFptOHIgvs5BhrulCVHo6Uilf2c5A9LZ+J+yjganeKIgvQbGNc1ek06KpKR3hKBV7Z/LtndDjxqAg/8FUPDJveUnC802xvtvwM21eNDH6/jP4eRyr1jDejMIazHUPATILlp987FuF3h/58WCej17NNQUR99aHMmq+zLhe/j7xq+y6ZQRj0M65Z52OyfajPi0Hkxmt2SpV4xsBsGdCMv2N7UJU+e+RVp36KEn6jS/DPuDpga7esD8nP19ur6cLvaeaSIoxIgeza6VIHRix2cuoJb+LR6eroadB5IlUwExYhNKfOg5uU1HhawudiB+Pnq/ZrMM/YBhwaFEZxPVsg96CfccUDp8CMPSxEtGFiLcHSE+ZJiqohD6GGCiEKbKkfnnUnbyFjbR8uZfBEPgg/X7POQ2bRV5+HmMiNuGanRJLF8xySvw/5CKv26knMGtMKhfvJq/rFUSziiJUsu87G6W4sPl3JQmTSES+vTljpSP0CRxdxE1BZNupUVn/X6cB+uoKsyCQcaXNwyd1K9u7Ckabrd6QJouciRTZqp0sdGGlEvqmigj5PMxFHp6vyoOnECdOGRz3hDUWOJ4+b9mGdjN7MMZ3yOaN6805gxO/Jq27iLnaFcon6klSc6RKG/tV4X7MeEXE70GCvpqETwnKXsbntOWwfLgh2ys6sRuFk56RjP6N6NTfQiZTY6aGTM1yWjx+0V9Veha1LY6BUxiF191V0OhCx0HxsQHH6AkQq52FxVjlad3GuZgAAIABJREFUpl3e0kH3rQ2VucmIVoYjLnU3ajttRNhmDfssPlev5sizCMqdjW5dinUeH6Oo2xRiWmZigjbgmo3B2Pnn2rAZoUzHmrEv2hipkfx0Gu8Mke9xNO+bZ9zEE+KNCeEE7u4K5WQhQeqZLou8PfX7GqyPiMOOhj7bZbSE/QuE3wcuYa0gAjfHzWkD7KcqrOLIsTTtrLl0HCc7trcOm6OTUPJ49pdZncI3+wlVfJ64NA1nravJsL2o2xyNpJLHbswRnsae7OJNhfaqrVgao4QyLhW7r3Y6EMHW4GNDMdIXREI5bzGyylsc2hfwra0SucnRUIbr/XetQ/7bKbnb7aN+Fc53dTJ6OxdzuPRNfeR1Xc3ArE/K/Z+8CmcjVjXyxl6dQlrEEpQ+Uc2uINVv0fB7BcrLy93zU3Ead944kkszhD/W81EUBow8F7fcmFs4/LAIi+QybneyGD8UP/FY3qQrBu9v7XWlj35xz/BDFC2SQ8ZFnMQ/FOOJMOdzKgc9K38bQa0wbUCeg5tutBP7OhnD/QKOqEqXo1KfX6puQwm3bG8qQTcrfbZHBNR4cZQva2NVm3PsFU6lRWBJ6RMbEUJ7z3PH92q8bfgdFe7yn+UVOH3njWM+X3UNWYKoXXD2DfdOtEZuYTOfO5pwBO1CO2D7cGtLHJJL23yAAFrrcQS3NnOrFZIEHLGISrLou7UFccmlaJv19Bvrdn3P//ddnYzWZZsPgmJk2HBtljmXLgByXnXsR1St5JbORfNQyOVwaYce4tekWGRd7pp9wuW1UlmjqM9TCCJKWbjyzU3GrWpFydJUlN0ow1KOhEhSTrqvBqK7B2x/a6+7++8zz1OhtWQpUstuoGwpt+woScHJaXLQ7BNAd+DZcpInjtqDJg8U0db3aexeAVeoPghp57ox0VGOZIM9SZAiSCWY3f4LZcjiY9VKbtOJCPMKHxijVNohPPw1CbFZl9ElJFgewZUXS2XpD7AIM1cbCMqswVd39nniAQrnGZ8vCstHk2mlhUVP7SbMX1aOF3YrPgj15unfJ/CgkJt4icKQ32ReuWF7arFp/jKUv5j9HeWeswtPy9eV9/muTlTXNpjT1PT5ww2zjw3/j7zqVKgz5bPJkdcwDt3Ya5zPjEXywRYM2Tky1q1Goe7EnVPHUFZW5p6fYydQ/9qRyOs4WormmzfmzPBcbrNMVPj3YDJSjj7D2EQLfuGWPhnZOlzu98W8V39rryuOyz/uUf17EMkpR/FsbAItv0Rz2JRh3eV+7y1Dsz04J8gNlywutYyAuZOsWD9rtAm7udw6WXoV/q1MMxJH/SrRc0ds3P16V9WZN1fI8xowrhvD6/OZiE0+iBbrPQPW/ZmV/6vReecUjrnLf5Ydw4n6145FXidaUczn9etPfFtZOWlp3+wXXdCF+hWOJfG5o1mo5XKt1e8uYG1cOipfm0nhjN7jdr2o8epYErfqJkNW7ZBRnup3uLA2DumVrx1YmndBXm7vRyC1wVd1wqLvwhpzFQZJPIpbZx/XAUBeJ9CUz5e8CMLPV17h9o54xOXU4sMUEQSt6h2azhVizYJMVPntxgQN3p9eYSo6zkhSUPFm6l2W0ztILb427UNS6jG0G5ZWv+HmJjkX3Q3FtgbBcgD7Gc3X/sFHfhe7VoV3TedQuGYBMqs+WeTSTf9eV53MDNqr02G8+x8c35aGeGUwpEFzMG9xBgrOtqB3CuzMXl9clYFv3Kev6rEvKRXH2o0bOL7d3GRK4g/d1iBYimbxufka/vk4U6w62G91B8r5KLCeoGRUo99jdW9HcDc/wpjjGpSElCTjUqzYi8XoJ5ryTaXXgn6+gle3dyA+Lge1H6Ym0wFpK+xHVPIrd/qqHO4+wELbi+rV3MqgJBWnuzTQjb1ARWocNlzptl9pxCu+VGhPWvRW87U7JUg1HAA0hhcVqYjbcAXdvM+3QzYDEit2+uq58WBmOpm9duo3CC8z8xDpSlR+FO49EuLKfb8HAHlV43ExH30UIyI2FnGZVeiwtxTD9qOt9jSKNy3GXP2OX+lKPyavOoze2cbtXNbvmPxhxqecqD9cQfaCVTjTMc5FLlh0n+OiRYwY0YUPMW4w4gl0XdqIFcUtGNax6G+rxeniTVg8V79EJsVKB8ir+mMjSn9ehHB5MMIWZuLQn13csx0HuGvtNT5f012L7HkSSBWxSPxpGX6MmcMZoAQxuTemddA69Uc0lv6MReFyBIctROahP9HloeVotzoid/RD/QFXshdg1ZkOkw7Z7nNI4zariKML8ZCTzUTXJWxcUYyWYcf1PKP+TrTi13gu+sWIEbWnydTGGT3XwcFspHEnVy6JPwFKhPD8u+7NrXSwLfr+qh8XYz5XXlAcEYvYuExUdUy9zDdjW3GifZ7QifkdY/h7Z7j5XPZYM07N18wEp2P4cwu3WVAcj4NPvuBBUSLidzag3+aqoGu+dDZ80difWxBi2IQjRvzBJ/jyoAiJ8TvRMM3q20yx4o5xwT26m4nedfAlncyuPCbQdmihiby6u2SnvbYHAHnVoKP8R05wIihXn8ZzR3YS8+dO+zl51XSewDIuJ5VhFMirn3oQEgKB7a7DzsQwKGLTcaCuA31vrmPX4gXIu21ZD1f9sgyJ3DtE8/Jwq7sHT85two9rTuGlxcYX/vxlB8irth9Xs/iILl8tYj4KmuzXBHVve4fRmJ+MzIp7+MhPdNghvKzehBh9X0VK5N2xLiMkdGZa9F/NMkUWjYYkwfyCJny1OSgJ7/Wl313oB9uNup2JCFPEIv1AHTr63uD6rsVYkHfbsi4ob2OGOorzkHerGz1PzmHTj2tw6qUHy+uM1mOrgieOUqSf9dSqAKdn1d/YoTTnVTLMXOTe/ubYsvYskD5NRzl+5O1ZuRqnnwtWU2y+b6a24kt4t26LfvVquWngZea4d9OrTqfGoyK+5rIcq7ZswA9LDqN1eLr0Kyd8qc4FG7apZ0vZqB8VIYab5MhXbcGGH5bgcOvwNOk/M8SKC+OCcEzznd99SSeWenW/jMbQsJ1f/WYgST3FVVaZ3fcGAHll8b5yOaSMCIq0CrRN6xQ4gbI9OK/Pg/Nz8qobb0JBFF84WYpVDg/MWgzVZgkKC+sjt1HIuvDf5IiQ+jGK5/Pv0JMAMcLTy9E6KT+ORc/5dEgdibyy71G53FyjlgeiLP28nXq8bm7v2D2UH23GN2uiqf2Gxl36jQpixBQ9mmKzH487nhRxn7J0nPerNBTn+6EdqrXYoa2vPRuVdQH/WUxk9HYmXBUxykccno7y1qkmBe53eOznKqTztTzdsDrhvPNXoWE7f8Y9AyY4E1e+TEde3C8Hvt3s+0oslzIQKdJQ0TYdGdFBN2Nbmb2+8H2ayef4g0LEciSNkaThzAd3prNo8LpiiYkci0IzUOVQ2TonfKnOeRt2RF6a1xVYwgdGRKHIqHKgBNVMseL0uOCr2PIhnTgwUXEED3avYfsFhyWJEV1wzyMrWzxn8NsTtnQ6Lfpq1iI8tcwGmZoC2NpeXFwT5P/kVTeIqxv4CKYE8Qf+dTiRXjv4CMezFkIhD0N82i5Utny2c68G3bf3Ydm8EMgjlyC3ogkfbS6Pa9F7cQ2CHCGvOi2+3C9FeqwcstAErC3Yj6w4MUThBbhv2pFrqT/3t9fy+bxxGje0iBF/qG0K8qqD9st9lKbHQi4LRcLaAuzPioNYFI6C+7OfrM631R2fTvdDO4hHx7OwUCFHWHwadlW24LMdnWm6b2PfsnkIkUdiSW4Fmj7y6Si2Ze+O/lg/Y6L1V8TzkUZFLm46sjLjZoc/3JBnzjNdWYWPHsu5nSxnbV8N1oanoswNkwhHbcVaJz71/6HryJ7LTT7FcfilxZ0Y1aK/Zq1xJ7ZkPnY19Dm4F8AZXzo7vkjbX8PVwJVg/q4G9M0Qs45hxflxwaewJPAbTvtVwb32+uRundh7j1PfT7Th0EI+LUuOjdemOV1L24/7h1chWj4XP2SdwTMX/XEAkNfJztkhwQcMeWXx8Vy6KYIanHXFvaVeHDAos7ydc7jm+/Q6HMOdrXKIowrRYocIWV7vot4d6M+32g2QiSKQf3e65VTLNozd2Qq5OAqFLf5FXq3l6tl+sOiuWouIULkxOiWO5sjDKLoajiL7x3mYq1iMggbXqxV8q93I5e4xCF53ccaDsLW8HPm/OfVGgqXH39jfqOMAPh15n6eucdVWPNU+h97DfsaFNfwJbDJkurnA+thf2zBHJEdqebsT9Vxn4kt1cIsNj/2FbXNEkKeWo90N9Vxdw4rvjAsOYWkK+/WaTthuVK2NQKjcSDDF0b+gRR98Gu1Cw9Fs/DhvLhSLC6bNZbbbf1UdNsnNK4/nptmspU9bMpYL1N8ThJQTrvlDIq/+njag00Hz9iRSuWVRyYJitHqN/M3A4XL5kXM31WHQeil/Codg16BcvkdfWD4KsuT/4aVTcuRy1OZuQt2g95aEZy4PL/VD1YidESKIovaieXQYz6oPory+E71/5yNSNH0U3H6/J9BWksAt28qwqnKKHd4uY8ZyEjO5LSw+VK7gSmQttCr4Pt29vvx3V23F1/qkQdeZNK5OpRjzix7ZWYFyod1sD+pyYxCTW4dP0+zQt8TNDHypzh02zKKnLhcxMbmo++SONAoXseIz44ILurfwJ97XiapxJyJEIkTtbcbo8DNUHyxHfWcv/s6PhEgcj0NtU1cbscSnWR7q9lLTnhhp6km8nQbn6vYjWMinozAMgjKvYMCFMZ/IawCQV53mHU4v507akq3Bhd7ZL1NhG8iuOlwtBu5sR1RQAg499uBGHgvnYjRGbV8tsiMTUdLqXNRVO3AH26OCkHDo8eScYRvvsS0/s0Pw1t+91Y+Rv7YjVCRC5J5GdNQdQ6VhSVuLgatZCGaCkXVtYJqNInZkx35BTSYXVZOl41y3OwZiO++yp2dtHy6v40pk6aMeTk2KnHyXvTbMwveu2oq3sD3VezXvf0cadxKWNP2cnbx7Z3Uxipcn0hC1rAxtTi+NuupLdXCHDY++PIG0qGUoa3POD9qTsWtY8Z1xwV6/HP3e+zoZwV/bQyESRWJPYwfqjlUa0yy1A7iaFQwmOAvXBlwLugxe0ftoYxR1+el3068qqbtwLW8h5PpqT3ryurbGTuWNqe2NyGsgkFcdi4/n1xh3votCkVfvHofjqGGar3PN4apeVmJdRCjSjrcLaoFODVzzO914nXYQjbt/xOoz/2HMmcFe9RKV6yIQmnYc7U4PUm5svzNttnWt1/qhRusBY75wzm9lKK7p5HKN9RudwiCSpqHS+mx1W+239d3YXezmTjiak3nJshqCretn47uhm8iZo3fUIih3Nvr15MZkd67aymzI1x3PZHtwcZ1x74BInxc945MKWfTe2Yn4+VtdjFy65kt1brBhtvcOdsbPx9a6T9MTEUdk7yJWfGZccKSPU13jCzpRt+KAYU9JDn4rK0ZNJxdlVTVge5gI0jRXD+cYR1NBlPEwmpDVqHI0OKDpQEWyPo1BjNiif6fcW2LyOVYyJvIaEORVB3agDrmGcjxixP3C12L1NDFyzuFqVe9x7/c8JEUnY9flV1C5sHRgD9jOf69Gd+12rPv1vuNLGFoV3t/7HXlJ0UjedRmvVK7NXJ1vq5v16u1+8I5MEokFOVV4yx8QMd6MfVEiSJIr0DHNUpQ9GU60lSBBv0QlisS2P7lTgqycoL173fX96N1dUBqiDHOw+aZnKy24qw+Wz3HBVjwsc8v2OmYvX+vzEKHXkzgaBfccLzk4+V1aqNr+h+UxaTjRPuJiSTTnfKnOTTasVbXhf8tjkHbCmfzcqeTrPFZ8a1yYqm/T/M2HdKLpqDDkmUoiFyCn6q2JLI4370OUSILkig7XJirqdpQu1pNQEZS5dRhwdFOfuhXFcWIw0iSUvXBtjwiR1wAhrzrduCm3TxL/q5fyXp1wuJo3OJedjm1l19H+xbVcm8mDxjTOxO4AqsXgw1LkFjWgx2GSpMGbc9lI31aG6+1fTM7AfW1ytS/O3uf9fmh7L2JNkP7AkESUPjOTBnVbCeLFEiw8/MxF+erzzJIN+a6SxFI8tVkhw1l5OXv9hLnOp/545T4/neCYbMcVW3FWZl66fuIZShON0aC4X1pcLvcz8uocMuOSsP+ei6kuBlk74Ut1brLhkVc4lxmHpP33HJ/Am3BhS2cuYMWnxgVbfXL0O1/SCY8lBtLEUjzj65rr1GgriYdYshCHn7k2Bqs7/oel+uCAJAEHW82+e7px0FCGLUiJ9NMvnNjEaCl7Iq8BQ151YD9fRbY++iqOQ+EDb+SO8kbiwCEFUzo9S5BOZwgz+7sWQ49PYMf+W+jmI34+0zZPysF77xquz8Vc/cx9S71g0NQfPpIMian6gAvtU7/Eb/pz5UVKZF/rdbBEkQvvmQov+shEgnGXrzTtLLodjUxM9Uyv/S3QbYVF3/XNhtPQxDEFaHIgBUg72IpT2YsQGhKBjN/b8a6pFGnRi7D7To9rkSyTbmfZl2oH0XoqG4tCQxCR8Tva3zWhNC0ai3bfcWICP5WtBDpWpuq7i3+bNZ0Moz53rsEPbqkXTKg0HShPlsBUfcCEPUfbr8YrQ3BABMXPNU7kiY+g9eQeHG3oci49z6p93y95NR1SsByV7721wclRkDh6nRr/nUhFiLMhfCtQuE4GzYW1l1e+9w5ZcKovWgw++h+2FdbhwyTiOoGevw6i5KbA2J16tqM6+96vm8DDwiiIxLHY3yKYubPdOJsmhUi5C40javS87XI6rWSkuRBxYgbBy47jv0n69YzcNZ0nkWLYWTuDpTmfwN13Yivq1zidJgcjCkV2bf80Pkx/pnuK6QAC/WAqCk1FSVPvDImrHpuz60v1JzMacWncNKPvb2pJE3odXnmayn6+E6y42S5nTScTD1EYJYI4dj9aTFFXHdjus0iTiqDc1YgRdQ/edqmc2xQ7+gCF+sOLZEtx7LlrS/+ucw2dYbOX3uac/ef8HYDpZTNpsFvu1U7g29uryJ0nBiMKR3ZNJ4YmAoTAjj1D2VIZmKBklLV7ElBaTHx7i6u58yBmRAjPrkHn0MQ0zn8qBzjbf1Ojp3E/kucqkbBiFVatEvykLcfSBUrIFJv9vOzVbMvQDc/XR0cTJRDH7DfWHuQGBO3QDWSHMJBl1qDjwQVceDAdkbBqC/sRNesVEMl+xJEnruYdWj3T6cGKRc+FdK5A/QKUPHVtac4tPs/ptgv7/n3ZyvjzcvwUwkCSeBhtgsHelh5G239HZpwcsrCFWFNwDg973HHAgQd86Wg7fs+M+z97Z+LWxPW24SwQQKNRREFRUIpFrSiKxaooWtSKYv19trQoVou10roVxVoXFFtaKxbFoihWxaVU3EAwyJrtP3u+a5KZySQkmEBCMvD0unoFYTLLOfc55z7vnHkHCYapmLeyGMduvBzxMgnPcplYrHheu7LNjODnMNWJ5f43WKDXYdb/KZfC2GG+kI94jZDXuAXXf/oJ1zuCcSAbXlR9AqM2FvO/+jsiD1pPwMhrN86vlRJSi7NOIc2DIR/VAdwmCimsoxpQ/DeOfiHNyWQdjDlH8WSMIk7d59fKL0qQoNJoDMivjlTmA//lI7yVraO2CHOEdZbOFB++PrWY8ullmMNUR2rgaCzO0fb8OJbFCCmy6jxuIdlen0P+tHiYMjehoqE96EjW2ytFSNbH48Nvbo94TdWor9/eibNr4p2M6Wbuwo2IrLkdrh0E8reJ2FYG8LAiB0bdJGRXtIQu52uAfYm6+lIlQxORFeX1R+PPNjw/vgwxQoqsOsWdLYcNr8/lY1q8CZmbKtDQHmQKwbdXsD1Fj7jMPWiMkDdJY/fEirwG2ImMevCK2HGsaDu3EbP0RiyvCDLtU8TOORobPs9JjW3A1l6LbSkxmJ5XiceRzKna8xsKjcLESAvT1j8iJ9Fs08E/8W99joubUxAzaQnKmyPx/AD7HjX2PRPinG0dqC2ajRjTKhxvCcWdhpGxTnkdtx17D5p/XIXEuDTsvBLkLddxWyYjayQTokMaL3Xe04yKFdNgXLwPN83B3AYjG+Tci4G++zieNwOG1CL8FrEXv3id03hpp7yO4CdUUVFmvWiuWIFpxkUoa3gb0WWBlNeoACJcHVQP7p/IR4ppEUrr36i0sYSrbLjf8SYrtjc3Ub5yJpJWHkTjW4rreKvfiFxP70OcKkiFKXM3/mwnUxGpg3E9RqtoHLJ14mb5SsxMWoHyv7siKq4Ch5TXcd8wLHh5dR/yNh6jvI77ulZRRxjyuhAybaxBbmktnkVyqUDIr2si12mUXLu1HfXfrsH6isfsQ8n3hGXA8vAQ1uSWovbZWD4I7r8PoLxOkMZos6j1SWf/8DIKwLJRMmAZjI5OVXlO/Hn8MGphHzphxY3t2AGHZXDMH14crtwprxNEXoeDgH8bPwMs65J1SQbIABkgA+OdAcor5ZWzaTJABsgAGSADZIAMqIYByithVQ2s430myetjtIQMkAEyQAbIwPsZoLxSXimvZIAMkAEyQAbIABlQDQOUV8KqGlg5G33/bJRlxDIiA2SADJCB8c4A5ZXySnklA2SADJABMkAGyIBqGKC8ElbVwDreZ5K8PkZLyAAZIANkgAy8nwHKK+WV8koGyAAZIANkgAyQAdUwQHklrKqBlbPR989GWUYsIzJABsgAGRjvDFBeKa+UVzJABsgAGSADZIAMqIYByithVQ2s430myetjtIQMkAEyQAbIwPsZoLxSXimvZIAMkAEyQAbIABlQDQOUV8KqGlg5G33/bJRlxDIiA2SADJCB8c4A5ZXySnklA2SADJABMkAGyIBqGFCHvHafx1qDBtLJDvmM/Rin39hVU+jjfUbE6+OsnwyQATJABsgAGQgXA5IHIsj/NEFu79xcOljQF0N5pZhzRkwGyAAZIANkgAyQAYdDDmYG66KUVzYgNiAyQAbIABkgA2SADIw5A1IwVDXyqkspwS0LQ/FBR6/ZuMa8cbGO2E7JABkgA2SADISeAcqrt9T13MTBw9cx6P17/pvyRwbIABkgA2SADJCBiDNAefWA0IKWQ0uQXPwX5dWjXEI/a+JMlGVKBsgAGSADZIAMjIQByqtC0mwvTmO1UYfplNeIz6pGAjO/w06QDJABMkAGyMD4Z4DyKsmrvRO/FiZCq9FSXqUy4SclngyQATJABsgAGYgyBsapvPbh0gaDK5VCQiFqO++jasdSJE82ICExEwWHGtBhU85M7Hh7dTuSdV65ZGNzcapdkT/WbsbdU7uQm56IBEMCpqetQPFPTejy2Jew32CP7z4XS3sDjhTnYn7iJBjijJi5IAfbTrcoGo4d7/6pQvHyVEyNj4Nx9lJsO9EEs929D9es045390+jePkcGA3xMM3OQv6eC3jYLV2PHd1Nh/FJqhHG2Xn4rtEMe5TBydmzd53y32SCDJABMkAGyMD4l9e4j7Du4+nQapRiOgk5x/6FVZQ1u/kads7Ry3nDpELRKOXV3oNbZQsR77EfYZ8GZHx9E90e8qiQ1wCOLzVES+sZ5M8ceh4JhbWyvFpaK7FqitbzXLVG5Fa2ytcj7M/2uhoFiV7b6WZh902La1+2FziREyvvJyb7CJ4NkXA2EKlu+EkWyAAZIANkgAxEBwOSp6kmVZZ0wsrPKdv+xIBH1FAhj0Nk0yWxutRS3BFSbtm78dfOFOh8baeQ18F732CBXinAip/1aSht6pcF0yPy6mu/Gg3k40vnPfAPvl0oRou9viPLq92M2s3TvETcdR7apGJc65WgsuHF8eWI8dqPZoi8uo8Xm30MbZRXRR1KZclPdtZkgAyQATJABqKJAckBx7W8JmR8juqWLvS8+B07UsXIpkJMhQqxd55BXqwggr7WvPahbruwHlYDjdaE3Iq76Ox9g6bDuTBpXd8xbalFjySiymUDGg3ef3w73pzPh1GUTV1iLg5ceYLOAZunTJmrsWGScDwdZm2+iLaeDjSULoTBeV6JKK4fELe34F5ZOvQaDbRTCnHZbPXcj/M8xWUDc4wwpnzMZQNy3bGDiqYOiudCHskAGSADZMCbgfEvr7HZOPpMkjcLGr8Qo6z6xaj4V/r9e+TV0ogvUnTOW+z6tL24K70kwdKMsjSXDGsTd6J+UAJMEfkN5Pj2DpxZHee6ha9LRnGd7/Wngzd2IUmQZV0yvmh03f63v67EihhBaPXIOvREXDpgR9e5Na4lDrqZ2FHXzfWslFMfExiJV356d4z8N5kgA2SADEQvA6qT18DesKWQR+GBrQGpAtwRSY1+EQ4/DUxe7R1VyHVGZTUwbr2CflmEBnC1yOSKyMZk49hzKVIa5PEH6lBkcq1P1aeVoVmSY/k4wvnb0VG1CrFClDXmIxz5TzzW4FUUTRW+q0Xizno5P629sxoFzt9rEJP+FRp7pDLgJzskMkAGyAAZIANkQL0MUF5FQRxu2YC1pRyZzvWueqTtbYZFlkoL7u9f4Lw9r9GnoaxZfBhKuWwgAHm2t5/ESlGOEzb9ij55/0qwrHj6fZbrWOLyAqnypE9DQY1CrC1o+X4x4pzb6jGnuA5dHg+VKffNn9mJkQEyQAbIABkgA+pgQPIe1ax5jUTk1dK8F2mivGYceKiQVyseH/rQJZS6FPlWvscDWwHIq631Byxx3voX1tu6o6eejciKh99+MLy8rj2Pd0rx7f8H32ZJyxGSUHi5ncsHlOXDn7mUgAyQATJABsiA6higvIrQBhp5nTdM5HXvCCOvtpcnkOOUVw2Gi7z+W7FYjPIuxHeP3UsePCXXc9Y08OAQlsQLa2I10M3chitvpTyvntsNtw/+jWVFBsgAGSADZIAMRAsDlNcA5NXefsq95nXLH4pb8wOoU6x5Pdo2wjWv/b9ji9ElmPq5YgqvITNBO7p+WS1nFthZPxjgTGkA/xzIdK2V1cRiyQ/pfpppAAAgAElEQVTu/LbRAiHPgx0iGSADZIAMkAEyECgDlFcf8jq16Kr84JOzIC1/Y3eymG1gbimapKwClvv4ZoGUbaDYd7aBAJYNOGwvUblCzLmqnYHCyx0+b+9bmr7CHOdbwHRILWlUSPTwwNvf1mCj+GKD2BWVeMV8rgGK//DlGmgj43YsRzJABsgAGSADoWOA8irJa5eU51UDfdYB3O9T3l7vw9Ui8S1d2inIOXQLHX1duHc0D9PEPK9TC2sV602DzDbgsOHV6TwkiA9iaY1Z2PVLE170SA+AiRXeX4ft0luzDOkoOtOM9j4L+juf4vrJ3dhbI0qv3YzLX2xA2flGtHb2oa/9KnaJ+W31meVosQr74+th2ZGEriNhWbIsyQAZIANkYKwYUJ28Sifs+WnAhkt9imhasPLogKP3EjbEuW7dy/tWvMhgoLkM8/2+YWsuSm75ecNWIJFXQaD776Asw/26VvkchLWqc0rEaxvAnT2ulw8o/+76ORYrT752RWztb/HLat/7Mn562SXZfD2sghd2OGPV4fA4ZI0MkAEyQAZGy4DkQKrJNiCdsOdnCOTV9h+OZrtfl+rcv0JeHfZ3aNyTKaaeUkquAQtKbsDskYZqBPLscGDgSRXWzhDfAKZIh+WWVwfs5gZ8neF1nsK22inYeKlLXG5gRnV+vOulB4r9aOKzUH5PlGynvLr3w9fDsjMZbWfC75MhMkAGyAAZGAsGJAekvDoc6H9yFsVLkzE5Ro/4xPlYWXQS9/oUINq60FS5EyvTpiHeEA/TvBzsOH4LnUPWkI5MXoUKt7y6gSPbVyJtegIMcSakLFyD3VV3PKKEtrd3cHLXKixITEBs7GTMytqAsprH6FEItO1tM86UrEFmUgJiYo1I+egzHGnshE1+EIyvhx2LBsZjKNqPzB5/Ry7IABkgA2Rg5AyoQ1456HnIK4EfOfAsO5YdGSADZIAMkAF1M0B5pRhTjMkAGSADZIAMkAEyoBoGKK+EVTWwcqas7pky64/1RwbIABkgA6FggPJKeaW8kgEyQAbIABkgA2RANQxQXgmramANxWyN++CsnwyQATJABsiAuhmgvFJeKa9kgAyQATJABsgAGVANA5RXwqoaWDlTVvdMmfXH+iMDZIAMkIFQMEB5pbxSXskAGSADZIAMkAEyoBoGKK+EVTWwhmK2xn1w1k8GyAAZIANkQN0MUF4pr5RXMkAGyAAZIANkgAyohgHKK2FVDaycKat7psz6Y/2RATJABshAKBigvFJeKa9kgAyQATJABsgAGVANA5RXwqoaWEMxW+M+OOsnA2SADJABMqBuBiivlFfKKxkgA2SADJABMkAGVMMA5ZWwqgZWzpTVPVNm/bH+yAAZIANkIBQMUF4pr5RXMkAGyAAZIANkgAyohgHKK2FVDayhmK1xH5z1kwEyQAbIABlQNwOUV8or5ZUMkAEyQAbIABkgA6phgPJKWFUDK2fK6p4ps/5Yf2SADJABMhAKBiivlFfKKxkgA2SADJABMkAGVMMA5ZWwqgbWUMzWuA/O+skAGSADZIAMqJsByivllfJKBsgAGSADZIAMkAHVMEB5JayqgZUzZXXPlFl/rD8yQAbIABkIBQOUV8or5ZUMkAEyQAbIABkgA6phgPJKWFUDayhma9wHZ/1kgAyQATJABtTNAOWV8kp5JQNkgAyQATJABsiAahigvBJW1cDKmbK6Z8qsP9YfGSADZIAMhIIByivllfJKBsgAGSADZIAMkAHVMEB5JayqgTUUszXug7N+MkAGyAAZIAPqZoDySnmlvJIBMkAGyAAZIANkQDUMUF4Jq2pg5UxZ3TNl1h/rjwyQATJABkLBAOWV8kp5JQNkgAyQATKgAgas+O/CflTcfAvbhKiviXa9gYs95XVCNIDAgQjFjIj7YHmTATJABshAOBiwPj6M7OSVOHynWwWyPXoGJtr1BsoM5ZXyOiE6gEAbBLcbfWfLMmQZkgEyED4GetBYmoE4Uzb21bdPgAjsRLvewNoO5ZXySnklA2SADJABMqAeBvof4MecKdAZUrHxRDPMtsCEJ3xCHebjT7TrDaAtUl4DKCTVAs9rU09nzLpiXZEBMjBRGehtwOGtn+LTTwP/f1PefBi1Gmg08Zj7WTXarGEWyFDWzUS73lCWnbgvymsYCpWyq6JOhPVPYSADZIAMRJYBawce325EY2Pg///2zTKnvMbO+hj7rzzDgJrqcKJdbxjqhvIahkKlvFJeyQAZIANkgAyEh4HBliNYMUWP6TnfoL7dGlnxHgOHmGjXG0i7obyOAXiBVAS3CU8nx3JluZIBMkAGxhEDlseoWDYFKfmVeNg7jq7Ln4tMtOv1Vw5ev6e8ehUIO7kJ0Bmopc5tb9FUW482C+skcu3ShrdNtahvs4z76E7kyph8s+wDZ6Dr8lZkrq3E44HAv6Pm8p1o1xtoXVFe1SIyPM8JKA8WPPp+BRbtuoLXanoYYZyxann0PVYs2oUrr8f/7clABw5uNzHEKfrq2YauJw/Q1jNRyn+iXW/g9Up5HWcDbfR1NoHDyHP3UVY9jSjNmIL0bRfwtN/H38nvGExqXHkWp6Rvw4Wn/WNwPNYz+wIyQAbIwHAMUF45+HMwjnIGBlqOIneqHtOW7cGV54Osr0jU10ALjuZOhX7aMuy58hyDkTgHHpPskwEyQAacDFBeCQI7g0gwYH2B6v/lITc3N4D/lyN9qhYajRamNadZXyGrLyteVP8PeQHVQS6Wp0+FVqOB1rQGp9u4hGC4qAj/xqgZGSAD4WSA8hqygZCghhPUibtvGzr+2I5Uw1QsKalF2wR5SCHa6tvW8Qe2pxowdUkJatsGOIFgv0kGyAAZiCADlNcIFn60DdA8n+ibgNheV2PjrNlYX9WCPrIamcHC9hrVG2dh9voqtPRFHyNst6wTMkAGJhoDlFcKQWSEgOUeQLn3ouHLHGz4+SnXWEaQl96GL5Gz4Wc8HeQAOdEGSF4vmScD0ckA5TWCgyIbRXQ2iuiplx68+PclI64RbqM9L/7FS0ZcA5hssT1HT9/BumBdjG8GKK8RHhjZwMZ3A2P9sn7JABkgA2SADISWAcor5ZURFTJABsgAGSADZIAMqIYByithVQ2snLmGdubK8mR5kgEyQAbIgBoZoLxSXimvZIAMkAEyQAbIABlQDQOUV8KqGljVODvkOTOqQQbIABkgA2QgtAxQXimvlFcyQAbIABkgA2SADKiGAdXJ62B9MRK1GggnHv/pbxgYS9gGalGY4Dq2dnox/mLexygH3YJ7ZenQazTQ6Bfh8FO+0pOz/9DO/qOxPC33ypCuF/opPRYdfgrrWPaR0XQsyz2UpeudY4V+0WE8tY7/uo9GHtVyTgP/1uPcmbP47e4b2KKJY56LT8+gvAYDBuXVJ0TR2zlRXqO3bigS4aobyqvIFuVVZf11ZPuErqo8xGr0mFvSyJfCBONFEdqW8hpMwVNeVdYZUl7DJUjcb2QH2uHKn/JKeR2OD/7Nd9ulvPoul2jlhfJKeVWZkAbTwCiv0drx8LyC4Ti4bSmvYnkx8hq1fbvl3Us8ul2HiycPo2zXZqzJzkByyiZUd9r9nLMd5sbvkJs8GcbU1Tj4dxfswYzdAWwbFnm1vMPLR7dRd/EkDpftwuY12chITsGm6k6/5283N+K73GRMNqZi9cG/0WUPrv1PlL6V8hoA1DIMjLz66ViitXFRXmV2g+Gc26qMc8/2py557cHNg4dxPRzPD1Beo5Nj+2tUrox1rkWWBMT1GY+8n9v9SF0vagri5O/oUr9Gk8WT+9H2daGXVzteV65ErPDMhdf/8Xk/o92PlPbWFCBO2l6Xiq+bLNFZjxEeJ6QyRZD/aYLc3rm5dLDRQMYHtkLbYEdTF9H/Xcpr9NcReQ51HalJXi0th7AkOUwPv1Jeo1R67Ojt6kSvZQCdzSewLkkny11C/nk/kUYbXl4oQJLzQUQNNIb1uNgb2r4j9PLqgL23C529Fgx0NuPEuiToJClNyMf5Lt9RZtvLCyhIcj1oqNEYsP5ib5TWY2jLP9h+UPLJYF2U8hpl2QZaW1tx6dIlNDY2wm733SiChUO5fVNTE2pqavDkyROPhvT48WPn74XjKrf3/rm9vR21tbW4fPkyXr9+Pey23t8d+b8pryMvu8h2TDzvkZe/auTV9gKnVxuhC1dfSnkdo3525Kw6HFa0/rBEjk5qE3ei3m8UfhBt1ZuRotdAl/IFGqM+8upZLtbWH7AkVozCahOxs37Qb/0MtlVjc4oeGl0Kvmhk5NXXeEB5DSb0HYXLBmw2GzZs2IDp06c7Z6+TJk1Camoq7t69KzeM+fPnIy0tDTNnzsQff/wh/37jxo3O38+bNw//+9//5N9/9913mD17tvNvH330EfLy8jBlyhRotVpMmzYNX331FYTj7tmzByaTyXncyZMnY8GCBejo6JD3IwD38uVLrFu3DjNmzIBOp3PuQ/j5448/Rm9vuGeUlFdfjZ6/8xxUxlt5qENe7ej8tdCZ9jBsaQcprx59cbRybn16GIukiKp+MSpah0lpOHgNO6bpMWNHHXqDGbsD2DYckVePMrc+xeFFUkRVj8UVrcOksRvEtR3ToJ+xA3UhjjB7nFMA5RKt21Neg6m8IOW1999aHNy6HPOmJSDWMAUpizdi3+UnIW105eXlMBgM8m0XqULXr18vd1yCtEq///HHH+XfZ2Zmyr9fvny5/PtPP/1U/r3wPUFape8Ln8LxBFE1Go0evxf+JsiuBLsQlVUeW7kPYZ/Lli2Tt5W+M6pP62v8dbAAC5MSYJiUjKU7KvHz7jT/eV7t7/BPVTGWp05FfJwRs5duw4kms581V6MUHls/3jy5jT/PHcP+/9uMvMVzkbL+F9/rnixPULU+Fcap87Gp6hH6g2E0HNta2tFwpBi58xMxyRAH48wFyNl2Gi0ekQ87zHdPYVduOhITDEiYnoYVxT+hqcvmVcd9uLRB5DWhELWd91G1YymSJxuQkJiJgkMN6LCNsqx9loEN/W+e4Paf53Bs//9hc95izE1Zj1/afd2lsOBJ1XqkGqdi/qYqPOoPx/mEap9WvP7rIAoWJiHBMAnJS3eg8ufdSPOX5zVA5vsubYDBeYszAYW1nbhftQNLkyfDkJCIzIJDaOjwrlfhegJlwAH726vYnuy+XezqG2KRe0qx5rH3X9Qe3Irl86YhIdaAKSmLsXHfZTzxM5hbX/+FgwULkZRgwKTkpdhR+TN2p/nL89qLf2sPYuvyeZiWEAvDlBQs3rgPl5+EaUIdSBuym3H31C7kpiciwZCA6WkrUPxTE7q82oPdfBZrnBE8LUxFV9Fx9wS2Lp6JSfFGJC/5DCfuuPow66urKFuVCmOsAcY5y7HrbAv6fLWNAI87qr7Z13Gl31ka8WWKxMJkFNb2e/UZ7rZiaS5DuiED+++HPhoZdnl1WND4ZYq8dGByYa3/vt3SjLJ0AzL234dFKqco/bS/u4/Txcsxx2hAvGk2svL34MLDbq9x1I53/1SheHkqpsbHwTh7KbadaILZz7rfQFiTfILLBgIBI2B57ceTc1uRFjd0obZGOxUrjj0KGZBz586VBVKIigr/C5UaSnkVorpbtmxxRk8lYGJiYiBEW1etWgXlOQhRVSn6WlVVJZ9bbGys8/tTp06Vfyecq/cyhECg9bmNvRsNX6aLA6673PV6caY75CUFFrRWrsIU8YUX0nVpjbmoHG7mHwgnPrax3C7BHJ37vJzHM6xClQ95sr08gZwYcVvjZvze5+68fV67j+OFbDtLK87kz3RNAKT1WsKnIJ4D0nnZ0XOrDAvjva5PmOhkfI2b3UpBVMhr3EdY9/F0aJX71UxCzrF/h4lISMcM8tNyGyVzpAFSOk8DVlUpZEkqR9tLnMiJETk1YvPvfX4H05CVs3TsoD7t6G74EukG6XrET71erC/vlxQEzrxbXuPw0bqPMd2rnUzKOYZ/PZL+B8GA3YxrO+cMZUrjltf+J+ewNc39gI7UPjUaLaauOIZHHhMnB+zdDfgy3XsSr4dejOh5vKSg/wnObU1zPxSj4E87dQWOPQqxGAXShuw9uFW2EPGKc3FdswEZX99Et2KQV8rr5Oy1yJnqGVzQGlfg+N0bKP3Aqzx0s7DtD6+n9IM4bvhYN+PcWulcY7Dkx/98vyTA3onfCmdg5pZaP+ti/fcJ/W9f4eWLF3gxzP8tP+QgRqPH7OJaPBtmO2EfL9/0jKhPMJ9bK49RMUt+xH9eExNXGdvR+VshZszcglo/62LDVxf+y9DnMW2vUV2Q6NWH6zBr900Px7G0VmLVFE9ONVojciuHiz4Pfy5Sn0B5DWTQCFReLc3YO0+6PeA1sAiRTNNWXPETPfAJyDDnNmvWLOcgKywXENaUCjKYlZWFNWvWyI1LGf0MNvIqCGZ9fb1zXz/88IMsnoKMCssHhPNta2uTly0ISwOEda3C7yV5FY5/8OBBmM1m59+UAqs8n2CvXbn9YHMZ5ku3noYMAEPfsGU312LzNK/G5PyeFknF10IaHXeep6UH3b2D6H99A2WL48VynIQNF7vlepKvx/4WN/cvxVRBGBI24deIyesA/vl2odzZSp2F81Mpr4P38M0Cf7zrkVbapIgwKOTVVz1pNNClluKOl5zIZTNMWxh+Gwt6unsx2P8aN8oWy5IwacNFdA/Zpx1vb+7HUqcUJGDTr1Eqr4PNKJvvr9yFfsdTXoNh3i2vQ/svZ/3rUlF6RyF5ATNgR/dfO5HiPZFzsiDJqwXNe+f5kFvxXLQmbL2ijJAOorlsvv/tNRoo5dXSvBfz/PYVWpi2Xglh+w+sDQ3e+wYL/J2TPg2lTe5opFte/dSNRoNYg8FLKFzbGlZW4qVCmII57vDta3jRGP67FjR9nSpGJLVI/Py6j5cE2PG2rhip09fil5e+ov7DHb8ftZun+CwPjz7NT3/ka5uYnOND++0h/cjQc7I0fY1UkX1t4uc+s2zY39ahOHU61v7y0rfEB3Cc4ct76HmNdHvbi+NYLgVa5PLzkle7GbWbp/ksf21SMa6N0IWkeqG8BgJEkPJqSMlD6dlGtJr70feyDrsXiNEcYV3Pv8Os6wnkXMRthLWpQiUKt+FLSkp8NqjRyKuwHlYCu66uDoK0CsdLTEx0rmcV/iY8IJaUlCSLrSCtwu9Pnjzp3L6rq0veh/D7lJQUeVth2YO0/5F/9qFuuzT70yN16zk8Mvei485RrEkUBdUr8mqu3oBJQmPTzcLmi23o6WhA6ULX7F+bWIx6OaoYuoYuXd+72s0wOSNZOswuue0xQ5W2cdi7cG5dAgzLjqFNMdjIfw+CkZF+x/7mPPKN4gCpS0TugSt40jkwpEPtq9suvrJZC1NuBe529uJN02HkmlxlrzVtQW2PVI6e8pqQ8TmqW7rQ8+J37EgVRSw2F6d8RKRHeh1DvveuFpvFc9PNLsFtn6JsR9e5dUgwLMOxtmAHS+law/vpLncN9Klbce6RGb0dd3B0jbstKF8PGwzzHvKakIHPq1vQ1fMCv+9IFSVREk3XNbrPJRAGHHDYO3Emz9WXDF3zKsqrIQV5pWfR2GpGf99L1O1egBjnACmsF1RE5/vqsF1u56nYeu4RzL0duHN0jfwq8aHyakBKXinONrbC3N+Hl3W7sUAchPWLK7yiyiOvx8DakKL/0pqQW3EXnb1v0HQ4V+wntDBtqUWP2OY95TUeC4qr8cjcg7bLn2G2PCnQYcbqCtx82QPzgyNYZZTa4nbUyQ9EBXfcIe0oZH2QHe2ncuWHtmI/OTvkdrKt/TIKZyVi3dkXQ/qf95/XAG6ULUPmBx/gg2H+XzBrslOwYqfNHXY7YR9ZO6pHNG7Z208hV3poK/YTnDUr70o54LC143LhLCSuO4sXEer331+e7vYgr6/XTkHhZbPvO2bmamyYJIwjOszafBFtPR1oKBWDItpEFNcPjKgsKa/BNMCA5fUBTu2txD2P26UW3P9mgavj1y/Ed49DI6+ffPKJLIKCpHZ2dg4BYTTyKjzoJcF87do1xMW5buUJ8vrq1Sv5b0p5FaRV+o7V6nmdwkNayvP59ttv5W2l7wT9afkbu2e5bglrTYX4Te4QLGgqFWf0HvI6iBu7kpwdlS5ZempVyMm3wjU46rNw6InneQd9TsNwZTdfQH6CSwpjV1biteKWoHwcWxuOLUvEhuo3XmuH3B2HvO0wxxr5NnZ0nFkt3lrVIbm4bsiA4tq3BY1fiOu49GnYe1eKxlnQXCauN/Z4slYhr7HZOPpMKmflfkI3ufN5/XYzLuQnuNpN7EpUvvYaQJzlaUPbsWVI3FCNN77qJyxlHkzdWvD37lmuaJXWhMLf3Gu1LU2lYnRHGXkNjnm3vMYi++gzeVCyNH4hRk2VAqmsu0AYeL+8Pji1F5X3PNfNWe5L0Uk9Fn732H1Of+/GLKe0aWEq/M3NqaUJpamufsFDXh+cwt7Kex634h2W+/LdA/3C7/DYY0lEMPWi3DbANmRpxBfimk992l7clSZTwrpHcc2u8il8pbzGLTuKVnn7m3I/qEsuRp08/phxbo14W96wEZelNdxBHtdnWwpROxj8cxumiJE7/ZIf0KoUN8t/qFo9HSlba30/IxCicwj/mlcHHIN/YtsUMSCgX4IfWpUTYwv+q1qN6SlbURvOyXuIykvgwd51Dmucy8V0mLmjzrNNiccZvLELSUKwRpcsZ06wv67ECudkUY+sQ0/kthwMY5TXYCoyUHn1uU8rWg5mhlxe7927B+Vt+BUrVgyRQaUsKm/TB/LA1mjlVQmjkMpLiLoKSwsk8EIhr7ZXUkPQIGHDJbyTy99PtgF7B6pWuaI+MR8dkdcdDV4tct2q95At5WAUop+tT3AoyxVl1KWU+Ez5MtBchqzsiiFr+5TlGd6fB1BXZHLd6tGnoaxZklKvMhDKMldMOG7ciivSwOhwYOBqkRg5ikH2sedixEQhr8qlBw4/dSXXpddxR/V7K54cynK1RV0KSnylohloRllWNipCvf5xVOetKAPbK1SuEO/kJGzApXfuv8nREOWygSCZd8ur8MCWOzLid99BMfA+eXVfi5Jxa8tBZDpvrSvl1YZX0qRTk4ANl965+79gsg1YW3Aw09UmQyevgbUhe0eVHI0zbr2iWGIzgKtSG4zJxrHnLtFxy6vwwFad+xa73+sdQG2hOFkzFKBGbKPBHldZF6H+2fLPPqSLyyb0aWVoloTc0Y8Hh7MxfWEZbst3b3zzMdpzGhN5tfyDfeniHSavfrX/wWFkT1+IstsjW0872usf0fftnagumOoaJ2LS8VWj97nb0VG1yhVVj/kIR/4TZX3wKoqcy7K0SNxZ72Y4iP5RcgguGwik0EYqr/1t+OuHrVhokqANXeRVAC43N1eWQWHt6+nTp90duMPhEemMhLx2d3dDyGYgZCcQxDUhQexINRqEQl7dHZ8eaWXNitvwfoTI+hTfi/IoNQDPTwMKatxrzEbUqIflqR+/bxYzNRjW4UK3V2c82IKK3OUovxfOc/A6pvf52ttxUnoLznDrbq0tKJcG/bS9ikHHAcv9/eI6PmW9RIO8OtD/+2YYnZEeA9Zd8F53PIiWilwsL7+nEIn3lJd3+YX734pB0HOwd8CnYAbJfFDyGjQDwcprP9r++gFbF5rEJQtKebXgn33pYlDAa5LlV+Y867K/7S/8sHUhTJI8hSryGmAbsraUy1Kettez/7q/X7pb5762UMlrsMcNfT/orgfb8+NYJi7b0M7YJa4FtcN840tkJK/B6VY/k+cQtrMxkVfbcxxfJk46tTOw67or16vdfANfZiRjzelWxfjlLp9wlv1o921p+R6LxYfT9XOKUefxkJkVT78XAwViZN1zrNXAUFAzon5W2g/lNZBGELS8DuB5XTnWpkoP6Ei3C0Irr8LT/crb9sLPb968kQU2kpHX58+fy9kIBLEWcssqzyck8tr4pXwrM+t75S0If/L6EN9+IE4kfDYoA9aeV0RwAmEjqG0seHAgQxxwF+Gwx/rnPjQfyMGqihYMBLXPEHd0tlb8sMTVyQprEv0mDhceTpTSEWUcwEM5YuKA9fEhfOgUAh1SvmgUO+XokFfLgwPIEKN4iw4r1k86HOhrPoCcVRVoCeO659EOGA5FeiF91vd4orjN7Vteg2M+KHkNmoHA5XXgeR3K16bKD9i5BixPeZXTD+mz8L1yuc/75HXgOerK1yLVK0tGyCKvAbYh4QEyKbVZxoGHCnmx4vGhD+U7BFKy+lDJa7DHHTWzw/VnPdXIl7JmiHdk+h+dQF5yJr5qcC+JCec5jIm8OnpQnS9lVhDvavQ/wom8ZGR+1eBe8jJcWUXd3/rxz7dZ8hKzpMLLiuUdVjz89gNx0in6j9eYa1h7XnG3NPBxjPIaDAjByKulDbW7s2B0PjGehg3lNbhUIglLaOVVaNAnTpzwiGju2LEj4vLa39/vfGGCAJmQWktK36V8YCsk8io/PaxHZnmLYv2MP3n9FxWLQ32LMPBGJ+TD7DyT57qVIjy1Lb+7Wog0lGBl4Xk8V8hIODtsv/tWposKNPI6b5jIqxxRig55tXeeQZ7zwQkdUkubZGEQIiAlKwtx/rm0FjeYeh3DbRUZTfSZ5WhR8OJbXoNjPih5VUZeA2IgEHm1oK12N7KcDxolIG1DOWoulcgTDveaV0VmAn0mylsU9TaMvFraarE7y+i83ZmQtgHlNZdQkhHiPiHANqSMgM6T24nAkgXKyOtecelOqOQ12OP67SuCGUP9bTtYJ95G1kAT+wnOPKjB1tQUFJx7JrfNsB7f4cDYyOsg6orE2+yaWHxy5gFqtqYipeAcnikm/uG+1pDvf+ABDi0Rg3S6mdh25a34rIYV/1YsFgM1ofUeyqu/xuTr94HKq/0dGr5Mc8qJLikfVY+EVDvhWfOqhDA9PV1ePiAIos0/KngAACAASURBVPAWLOHvykjnWC4bEIRakFYBMuF8LBbXrZ9Qy6vt2REsdd5y0mKGR5oVP/Jq78Ivq6XMAsO9jjB8MiI/oKCdhh3XxFtHHbX4PL8MjfKDFuE7vpIb3z/34/ct4tIG/VzPtEjKtmFvxyl5veMW/KFc81qnWPN6tC2K1rwqH5zQYtqOa641V/YO1H6ej7JGzweFfJdPJOtGeCr5GY4sFSPjMzxT7viU1yCZD0peg2bgffJqx7uGL5EmTC50SciveuRMru9vzeuzI0tdD1pqZ+Bz8Tass878yKv9XQO+TBPWaeuQlF+FR0IqurCseQ2sDSmfQDdu+UNxC1WxZjYmG0fFrBehktdgjxvWdmC5hZLZ4rMQuulITk5B3vEWRVmEv72NjbxacKtktpgWTIfpyclIyTuOFkW/GdZyVvbdIf554J8DyBQzKcQu+UHM2GFH1y+rXekWQ/wsCeU1mAoMUF7t7VVY5VwDEoNsedC24KF8qzg0M5CBgQFcv35djrCePXtWftuWkJ+1tbV1iLx+//338vbCW7IkAPy9YWs0D2wtWrRI3r/wilmhUQpCLeWmFY4disirY6AO28XUR/qMA3ggz2CVUZlFOPxUispY0PTVHFcHoktFSePYry213N0j5po0oOByPxz9LTi+7XNUt4V/bVdgnaMNLytXiDletZhReBkdPp+6F556T3aVpSC5TdL7uhXZNZzpUKTfR0fk1WG5iz1iLmZDwWX0O/rRcnwbPq9uG7NIT2D14G/QHkDddumBugwceODmxp3HVJltIDjmg5JXR7AMeMnr1CJcldM3CX9rR9UqV1aTmOyjcqo4y0P3Ug935NWBgbrt4oOBemQceOCuP2V0etFhPHVGp+1or1rlusWpEEKH5SEOhDry6giwDQnZUsS3jennlqJJKgtFBgRn+j7x96GSV0eQxx0dr/44Fn8vRO+lpVxaE1ZU3JNTg4X1uIrxf2zk1YqWcuk2uhamFRW4F+YH0caq/Bz2t6jZKObTjV2Byleu4Jml6SvxBT06pJY0hmxCIrnL+Frzau9G0+FPkGo0Ynbed2iUUye9pwEpQPZZ4QHKq7KyZm2uRuu7d2irL0fudHFmqZ+Lr+puovJMkyySPo/3nvN5+vSpUw5LS0sxODjoFFnpla1CBoKHDx8695+cnCxLZHZ2tvN3P//8s0eWgnDIq5APTwJMiAoL4vp///d/smALfysrK0NjY+OoysHhMKNmoxglFPIkHr6Njj5Xma+UXkTgkSrLgX45N6kGhvQinGluR5+lH51Pr+Pk7r2o6fCVPmmU/Cjq0/pvBRY711zG4uNT/+ByyQ4cu69MvB66Y42ELeE7tlenkSem9BLehpK16xc0vehxy4F4PX1Xi8Q3MGkxJecQbnX0oeveUeSJZa+dWoha+Wn4KJFXq/s2euzHp/DP5RLsOHY/hMnp3fVn7/gLe5bPRMLkOVjzw92QDcrmmo3iQ2dCbtXDuN3Rh3dt9ShfKSUEV8prcMwHJ68OBMeAIKhdcp5XjT4LB+73uVPCWZrwlfg2NN2szahufee6rtzpYsRKj7lf1eFm5Rk0CRNVcw02ivmItaZcHL7dgb53bagvX4lpznzKypcUKCV+FjZXt+Kdc9tcTBdzpOrnfoW6m5U4Iy/ncddlsG0psDbUh6tF4pvmtFOQc+gWOvq6cO9onnj+WkwtrJXXBYZMXh3BHTfYaw9qe9t/OPJRDIR+JvtgE975nCiPvB4COZexkVcb/jvyEWI0WhizD6LpXXjHGeV1h74fssN8+QtsKDuPxtZO9PW14+ouMQ+0cglPvyIPsyEdRWea0d5nQX/nU1w/uRt7azrcbV8xRirP3dfPkluMK3m1vTiBHCkRsCYG2UeejVKOxEajkFep4Dw/dUj9ugkDbceQLR/f9yJl4TWH04v/GtV5CfIqRFiFW/NCNFPIvSqdj7BUQMipKlT6woUL5d8LD00JMitJrrR9OOT1008/lY8r5IcVzlE4vnRM4dNkMjn/7QvOYH7Xc32Xn7f2SA/JKSOvDjgG7mCPlLLEawG5JnYlTvrM/Rm6zlNIU7PKyYgO0zM348iddyNqwMGUUfDb9uNOWYacPFxZbxrdHJTcFqN9Qlopv2960mNuyS3FbDtK5FWROko3PRObj9wJ04ApRFrEFHkCZ7FZOBSiHM+OnuvYJb8T3lc/4ymvwTAfrLw6gmJAaEe9uLTB+/Wv4osPhBzH2WL6Ne+2qfi3++UGPbi+y/3OeA9Oxe3deV6F/L3ZvplW7FujnY7iv6S7BaNp94G1ISE1nt83BOrnouSW++5Q6OTVgWCOG3z/EUS5OaPt07Bkf2PADy1ZOh/iyomvsXHRbGz91Z3ObaTnOTby6or8T1uyP7igmvU1/ipfj8zEBMQYjEj5aCt+/PtNEC9sCEc/ZMfbX1b7bkvGT3FZDlgM4M4eMSOIso05f47FypOvRzT2Se18/Mmr9OSiJhbZx9pGJYlyYwhQXi32dlzaJL3lRhxUYudiy+58zJDfgBKD9H3NozovYVmAMserVJnC27by8/PlfQtrT+PjvTIeeEEUDnltbm4ecn7CuUnnKX0KUiuXcRAzL4/vCOsVt6V4PdUYC6MxXsxV6iWvDjvMDV8jQ+bEPfhrp2zEJY90H0F0woGef98lrDdooDVmo7zpPWssrWY8unIU/8tbgHWVY/zKwIEnqFo7w6tchbWICnl12PGucQ8yxXQpUr0Kn4YFJbjhcecjSuTV0YdL6w2uSE95k8/k2kq+7N3NOFG4EIlxsUiYkYXCI7fxNqDokGLpithZ550Z+iIR5bEC/9mOjtptSBFTPEnlHms0It4ZcfSS1yCYD1peg2JAaE82/Hc02+vVw9Jbu+xov7RJfjuW67piMXfLbuTPcOeIjknfJ6dms3fUYluKVwaRWCOM8a7+xi2vDtjbL2GT9EYusR+MnbsFu/NniJFdDTQx6djnL7dxoG1c2i6QNmR/h8Y9meIT2+6+SKMxYEHJDQ+hC6W8OoI4buBchqG/lMpS/hzE9dIlyJwnpE8zYOPl0ctrdF2fsgwteHR0C7Ydb0Bbdw+6Hv+OsuUm6BKy8aMyu4ZcNsrvSj+Hpx8yV+d7ZQIR2I1HlleaQbu5AV9nSFkWFHxrp2DjpS7KqwyfuGxgjtGIlI/Ds2xAGig8P12RV4vw5glhsNssDHZxMGWsx8H617BYX+By8UKYEhKx5H+X0DrKVDzCbXghq8CMGTNkIRQiqsJa054ed7Jg4fWt69atk0VSEMjU1FTnQ1SCOAqptQoKCmSB/PLLLzF9+nRnpFRYFyuVqyCjkydPdv5eOI7ZbJb/Jki0sC/h97/++qv8e2FfkmALUVfhJQrC34WIsVB2QuR19+7d8vbSsUb0OfgMtXtWI90UB8OUecgrq0VtqZQD0ltehUZtw9s7J7Fr1QIkJsQidvIsZG0oQ83jnhE1pqDOeeAKtqVk48Ct96eBsdz/HqvSZiJBG4Ocn8ZYXoUO0fIKN45sx8q06UgwxMGUshBrdlfhjofg29DVVImdK9MwLd6AeNM85Ow4jludYlJquWONFnkdwJVtKcg+cMtDDHzXYQ/q932G8r+ewfzuFRqPrsVM/TRsqukMiBNL61kUzktwTaI0sVhV1REa3p1lOohntXuwOt2EOMMUzMsrQ21tqZjw3VteA2c+eHl17TswBsQBtf8JzhYvRfLkGOjjEzF/ZRFO3hMebhWWFXSj+cRmLEyMQ5wpA+sP1uO1xYoXl4ux0JSAxCX/w6VWT2EZfFaLPavTYYozYMq8PJTV1qJUvLuilFch20d38wlsXpiIuDgTMtYfRP1rC6wvLqN4oQkJiUvwv0utoU1VF0gbsnWhqXInVqZNQ7whHqZ5Odhx/BY6lW+bEsYW81mscd61Gd1LCmTWAzyuvL3clsV6jOC/7W9O4+PYcS6vln9wpuqO4u6VA7b/juCjmBisqAw8ahmWfsj2Fs1nSrAmMwkJMbEwpnyEz440DmFWYMf29g5O7lqFBYkJiI2djFlZG1BW8xg9AQUBhrImuZdqIq/R2IAifU5CTteKigoIa18bGhr8Dox37txxbnPkyBEIaazG6rxv377tPK5Sav/++2/s2bMH9+/fH7PzGKvrDctxLEKezrjIyGsEB6ewlGWw19PfgPM1ineqO1MgGTDz/xqGrP/1d77yk/K6ZOz+2/1wlb/t+fuhgxXLhGUyhIGeC1hnGOfy6qu/6r2I9XHTUVQX3Dg+nvohyqsvMPg7CmW0MeB8wCie8hoV9fIO59dNRs4JhdC+57wsjSXONdkxGfvxj/Q0+Xu+M2Sg5vbsl8iAJwMTVF4Hb5Vg3oK9uBvk3dvx1A9RXtkZeHYGLI/oLA/Ka/TUS8+f2P7hZ6j1WDYxXFTMikcHFyLWlIOKf6IrowQFebh649+ino+JKK/2N7hU+BH+99f7l5x51t/46ocor5S16JEC1oX/uqC8+i+bMeXGgkc/bkLxb+2BP+nb24jvd+xDbWtwt/g8Bx6KFMuDDAxhYMLJqx1v/tiNTd+NIOXeOOuHKK9jOvCx8xnS+bD8A5Myymtg5RRmnnruHkHJ8eaQ5Wple2CfSAZGwcAEk9f+xz/j6/K/0OH1EN9EZIjyGubBbiJCxWseRWfsj0fKa8TldbD1Mg6fbAogO0EY6t8fF/x9xLlgfxdB3ieQvFraLmN/+RW8cr4pLoJlHiV9DuU1SiqCHSAb43AM2HoaUZJmQOb+e+jlrHvMhWWgtRr7D/2FN2JaF7vFjJZLF9DgkcOWDA/HMP9GPkLLgA19TyqwNCYGOcf+Q/847hctbZewa+uPuN8vMWSHxfwEvx2qxC35d9LfJsYn5ZXyOuYiENoObPw3VFcuQ3diZ0NBjUfOP5ZneBmwtp5B/kyvBPgaDRI+OYP2EeYoZJ2Ft85YvuO9fK14cuhDj5enxOT8hJfjUGBtbRewMSVGzuUuSZtGo8e80iYMTlCHkcqBeV4nKADs5Md7J8/rI+NkgAyQATIwvhigvFJaGXklA2SADJABMkAGyIBqGKC8ElbVwMqZ8/iaObM+WZ9kgAyQATIwEgYor5RXyisZIANkgAyQATJABlTDAOWVsKoG1pHMzvgdzurJABkgA2SADIwvBiivlFfKKxkgA2SADJABMkAGVMMA5ZWwqgZWzpzH18yZ9cn6JANkgAyQgZEwQHmlvFJeyQAZIANkgAyQATKgGgYor4RVNbCOZHbG73BWTwbIABkgA2RgfDFAeaW8Ul7JABkgA2SADJABMqAaBiivhFU1sHLmPL5mzqxP1icZIANkgAyMhAHKK+WV8koGyAAZIANkgAyQAdUwQHklrKqBdSSzM36Hs3oyQAbIABkgA+OLAcor5ZXySgbIABkgA2SADJAB1TBAeQ0lrJZ7KEvXQyhU/aLDeGodzUxnAM/rj2DXmsVInW7E3JJGWJ78jI3zjJg8ey1OPBhQDWSc8Y6GA36X/JABMkAGyAAZUDJAeY1Kee3HgyMrYdJpnCKs0eiQvLsBTw8vgl4j/E6P+d/chyWU5859cTJABsgAGSADZIAMqIABymsoKylEkVdr6xEsNUjiKnwK8vq3K/I614hJs9fgxENGXpWzMP7MWTkZIANkgAyQgYnBAOU16uTViiffZ4kRVi1MOfvwx6NO9I9qCcLEgJmdFuuZDJABMkAGyMD4Z4DyGnXy2o/fPk1wLRfQZ+HQEytvYYSyjrgv8kQGyAAZIANkQNUMUF5DCXAolg3Yu3AmL9Ypr1rTdtQNjv8ZFGfJrGMyQAbIABkgA2QgUAYor1Enr29w+mOXvOpm/h8aLIQ5UJi5HVkhA2SADJABMjD+GaC8Ul5VfeuAndT476RYx6xjMkAGyAAZUDJAeR2FvFpf/4WDBQuRlGDApOSl2FH5M3an+c/zan/3D6qKlyN1ajzijLOxdNsJNJntbnkcbMCuJK2YHkvKNhCLj0+/gd3hwEBtIRKcqbIM2HCpT/5e36UNMDh/n4DC2k7cr9qBpcmTYUhIRGbBITR02ORt5cq3v8M/VcVYnjoV8XFGzF66DSeazM7jyNuMuGwsaG84guLc+UicZECccSYW5GzD6RaL4jzsMN89hV256UhMMCBhehpWFP+Epi7vc7XDfHYNYoXr05pQdLUDd09sxeKZkxBvTMaSz07gjrMMrXh1tQyrUo2INRgxZ/kunG1xl5Hymuzmuzi1KxfpiQkwJExH2opi/NTUBZvH9drR3XQYn6QaYZydh+8aQ1U27ICUdcGfyQMZIANkgAwEywDl1UNYAgfI3t2AL9MNXqKph17vks4hLymwtKJy1RRonZIpiakWxtxKtEqZBEYtr3H4aN3HmK6V9u/6nJRzDP9Kx3BerwWtlaswxWs7rTEXla2jfUDMgtYz+ZgploMEmEYjiLWU3suOnltlWBjveZ7CtoaMr3GzWyH0DqW8Tkb22hxM9ThvLYwrjuPujVJ84JFeTAPdrG34o0u5LwfsPbdQtjDeq9400Bgy8PXNbre8217gRI5r+YZwXjHZR/DMFjgfwTZEbs+yJQNkgAyQATIQGAOSWyDI/zRBbu/cXDqY+itnEM1l88V0VkMFTLhOT3m1w1y7GdM8pEv8njYJxdd6XRHJUcur73PR6FJRescd9bSba7F5mneEV/iuFknF19A7QqEX6nXgn2+x0EsiXfWukNfBe/hmgStCLTHh/tQjrbQJ/fI5KOTVQ/yV1xoLg8HX9RiwsvKlIqI6iHvfLPBbb/q0UjT1iw3HKa/uyUls9jG0UV4VkfPAOhj1t3VeJ+uQDJABMhBtDEjOEKyLTmx57avD9kRRlvSp2HruEcy9HbhzdA0SRUH1lFczqjdMckb7dLM242JbDzoaSkXJ0yKxuB4DkqzZ/T+w9f5lAxpoEjLweXULunpe4PcdqaKoxSL3VLscVTRXb8AkQQR1s7D5Yht6OhpQutAlatrEYtQPjLCh2t/gfL5RjGrqkJh7AFeedGLAS/r66raL5aSFKbcCdzt78abpMHJNrjLVmragtkc6By95jV+A4upHMPe04fJns6GThFY3A6srbuJljxkPjqyC0VkPWpi212FQKltFvWlNuai424neN004nGtyRcS1Jmyp7REFTVw2MMcIY8rHXDYglSE/KfBkgAyQATIQYQYoryOoAMvfuzHL+epWLUyFv8FsF0XL0oTSVJ1T3jzkdfCGuJZVh+QvGl2vdbW/RuWKGNe2WYfwRLqtPyp5jUX20WewitdkafwCKc7z1GNxxb/i7wdxY1eSU9Z0yV+g0ZnNwI7XlSsQI4jgKHLL2jvOYHWcKyKqSy5GnXI9r1zOFjR+keKSTn0a9t6VIsIWNJeluWRbm4id9YOyRMprXjVxWHa0VX4truWmVA86JBfXoVuqB/M5rBGjv4aNl+UorrI80vbede+nuQxpzmUOWiTurHfLrnzOkkjzM9pm3zwfMkkGyAAZmHgMUF6DFhQbXkmip0nAhkvv3DMwP3le7R1VWBUrSF0MPjryn3gbexBXi6Y6JVKbuBP1Uj7XUcmr4ta8wwHLvTKkO6VMj0WHn7rk1d6BqlWutZwxHx3Bf2JUdPBqkWstqYc4BtcgBuqKYHJGPPVIK2uW5dCjYxGOnyuuJTVuxRXpNr2w5OCq9P0YZB97LpaTIvIqPLBVJ0mtn+sT6nOgFoUJLok2FNSI8mpHR1Wu68EvjRFbr/S7623gKorEqG9M9jE894oUe5x/0LwEV4Y8FsuLDJABMkAGyMDwDFBeg5YRC/7Zl+6KEOrTUNYsRQ4dcPiRV+vT75E15AEmxZpNQwFqJIkLt7xan+L7LH/rTYVzMqCgRiF2AZePHe0nV4pymIBNv/p+0t9hbUF5ppiRIW0vmhV5bC3392OBKNtu+Q2VvFrRUp4p19tej3q7j/3iGlx9WpnHObEDGb4DYfmwfMgAGSADZGCsGaC8BixnEpwWNH4p3fbOwvfK17f6k9eH3+KDYeV1Lc6/E/cfdnl9iG8/GF5e155XRJMDLh8bWn9Y4lp6oJ2OYvm2v1Ru4qelGXuldGIZB/BQIa/Wx4fwobOcdEiRlld4ZBsYTeTVgua94rIEfQYOPFRMOqyPcehDV5noUqSlFF7nHXA58Htj3YnxeGSODJABMjCxGKC8Bi0lggTNEyN4mShvUaSW8iev/1ZgsRhRXPjdY3lNqs/GFnZ5/RcVi8XI58Lv8Fhaaxt0OXg3FBtenshxyasmwMjrvGEir3ulZQfhiLzOg//Iq+c5+ayjUZeVd9nx3yxnMkAGyAAZIAOBMkB5DVpEbHh2ZKkYYZyBz6+712D6WzZg7/oFq50PEAXwQFC45dXehV9WS5kFFGttgy6HoY2s//ctMDqf/tdjbukdP2te23FKXvO6BX9IyyWENa/ymtkYZB9tC/ma1/ZT7jWvW/5QLI0YqFOseT3KlFghYCHQDojbDW1HLBOWCRkgA2RgeAYoryMYqAfqtssPJmUceOCWNOGW+DwxqrnoMJ5KUU1LE76a48pCoEstQaNC2IYAGm55dVjQ9NUc19P+ulSUNCokbgRloTx/28tKrBCf8tfOKMTlDs8XBLi2teDv3clitoG5KG2S5N+C+1IOVm2iYtlBqCKvDghZIpLF7AtzS5vkrAKW+9+Ia21dacvk1FqjLA9l2fDn4Tsilg/LhwyQATJABgJlgPI6EkEx12Cj0fXAlZAv9PDtDvS9a0N9+Ur5RQQeqbIc/ajbnii+XcuA9KIzaG7vg6W/E0+vn8TuvTXokNI8hV1eHeiX86xqYEgvwpnmdvRZ+tH59DpO7t6LGp/SGUCjsr3C6bwEMc+rFsasXfil6QV6FOtaBTD7rhaJbwHTYkrOIdzq6EPXvaPIE1+coJ1aiFppDXDI1rw64Oi7iqLpYi7ZKTk4dKsDfV33cDRvmpjndSoKa6X1vnw9bKCdCLcLoG2MpJ/hd9wZQVgWLAsyQAYUDFBeFYUR+CDcg+u7xIe2pCT5Xp+e8urAwJ09YtoqRZYB8TuxK0/i9RjKq2PgDvak+3loK3YlTr72FTENbIDuv1OGDGdaMO/r1GFOyW1X4xtoRtl8P8fX6DG35Jacm9URSnl1DAz7ZjT93BLckqLifD0sO8oR9Q2BtZPA+xruj2VFBsgAGfBmgPI6wgHK3lGLbSleAhZrhDHeFdnzlleH3YyGrzNg8JJc4ZWsUzZeQtdYyqsghA1fI8PHa1y1UzbiUtfI5dXhGMCTqrWYMSS7gkJeHXa8a9yDTPGFBhKEwqdhQQlueLzcIHTLBgT47e8asSczTowOKwTbsAAlN8zyW8gcfD0s5XWEfYN3J8t/c+AlA2SADISWAckb+HrYEQxUg89qsWd1OkxxBkyZl4ey2lqUihHNIfIq7N/2FndO7sKqBYlIiI3F5FlZ2FBWg8c9Clkcg2UDrkZkw9s7J7Fr1QIkJsQidvIsZG0oQ83jHrfAjaBMXPu24NWNI9i+Mg3TEwyIM6Vg4ZrdqLrTpRAiG7qaKrFzZRqmxRsQb5qHnB3HcavTpthGgD208iqcn62rCZU7VyJtWjwM8SbMy9mB47c6xQfEpAbG18Oys5VY4CdZIANkgAxEEwOU1xELGkGOJpB5LuSRDJABMkAGyMDEYIDySnn1inRODPDZwbGeyQAZIANkgAyokwHKK+WV8koGyAAZIANkgAyQAdUwQHklrKqBlTNkdc6QWW+sNzJABsgAGQglA5RXyivllQyQATJABsgAGSADqmGA8kpYVQNrKGdt3BejAGSADJABMkAG1MkA5ZXySnklA2SADJABMkAGyIBqGKC8ElbVwMoZsjpnyKw31hsZIANkgAyEkgHKK+WV8koGyAAZIANkgAyQAdUwQHklrKqBNZSzNu6LUQAyQAbIABkgA+pkgPJKeaW8kgEyQAbIABkgA2RANQxQXgmramDlDFmdM2TWG+uNDJABMkAGQskA5ZXySnklA2SADJABMkAGyIBqGKC8ElbVwBrKWRv3xSgAGSADZIAMkAF1MkB5pbxSXskAGSADZIAMkAEyoBoGKK+EVTWwcoaszhky6431RgbIABkgA6FkgPJKeaW8kgEyQAbIABkgA2RANQxQXgmramAN5ayN+2IUgAyQATJABsiAOhmgvFJeKa9kgAyQATJABsgAGVANA5RXwqoaWDlDVucMmfXGeiMDZIAMkIFQMkB5pbxSXskAGSADZIAMkAEyoBoGKK+EVTWwhnLWxn0xCkAGyAAZIANkQJ0MUF4pr5RXMkAGyAAZIANkgAyohgHKK2FVDaycIatzhsx6Y72RATJABshAKBmgvFJeKa9kgAyQATJABsgAGVANA5RXwqoaWEM5a+O+GAUgA2SADJABMqBOBiivlFfKKxkgA2SADJABMkAGVMMA5ZWwqgZWzpDVOUNmvbHeyAAZIANkIJQMUF4pr5RXMkAGyAAZIANkgAyohgHKK2FVDayhnLVxX4wCkAEyQAbIABlQJwOUV8or5ZUMkAEyQAbIABkgA6phgPKqGli7cf/XC2h8bVMNXKOe0Xbfx68XGvHaps6Z4aivXzVssn5Y12SADJABMjB2DFBeVSMIFrR8txjTFu/D3+YJIrCWFny3eBoW7/sbZgrsxJm0qKZNjl1HzUGRZU0GyAAZcDNAeVXRQGnrqsXWmXpMXVaOxrcTQWBt6Krdipn6qVhW3oi3FFgKrIraKwca90DDsmBZkAEyEEoGKK+qGgyteH5uPRJ1WhizSnDlpXX8y4z1Oc6tT4ROa0RWyRW8tLIDCGUHwH2RJzJABsgAGVAbA5RXVcmrAw7bG1wpnosYjQaxKfk4escMm9quIcjztb25guK5MdBoYpGSfxR3JsqyiSDLSW2dD8+XAyYZIANkgAyMhAHKawQEwdLTifb29pH/31aPfYsnQ6vRQBOfhk3Hm9AV1bfULejpHMX1trejrX4fXzJvDwAAIABJREFUFk/WQgA2Pm0Tjjd1jXtpH0mD5nc4EJABMkAGyMB4Z4DyOubyakHzvgXQC+IZqv+1RhRUm6N3CYGlGfsW6EN3vRoNtMYCVJvZQY33DorXR8bJABkgA2TAmwHJnxDkf5ogt3duLh3M+yT47yDB7LmN/UtckVfd1CwUn24e90/j99zejyXOyKsOU7OKcbp5/C+XYLsIsl2M+USU50dGyQAZIAORYEDyyWBdlPIaqYHS9go1m1Og12gxKWM7zj/pi96Ia4jKyPaqBptT9NBoJyFj+3k86WNnEYnOgsckd2SADJABMhANDFBeQyRYY1OZVrSdXgOTVo8ZH1egaSI8uGRtw+k1Jmj1M/BxRdO4jzCPDUfsfFnOZIAMkAEyoF4GKK8qklfbm8vYnBSDmesq0TIhoo82vLm8GUkxM7GusgV9Kqordorq7RRZd6w7MkAGyEB0M0B5VY0QWXD/wIdIWvkD7vdGN1Qha/SW+zjwYRJW/nAfvaqppwlSN6yPcb9cJ2TtmKyQFTJABkLMAOU1xAUavg6/B4/r6/CgayK8WUsUwJ7HqK97EOVpwCir4WOeZcuyJQNkgAyQgaEMUF5VI69DK49As0zIABkgA2SADJCBicYA5ZXyytsZZIAMkAEyQAbIABlQDQOUV8KqGlgn0sxy4NkfOLD3DOuG7ZMMkAEyQAbGngHrE/yyvwI32q1jf+wA6pvyGkAhTSRp4rVG+vaTFa/ryrB8ZgrWHG2Oyk6DjESaER6fDJIBMhBuBnrQdHAZEmfn41hzd9SNRZRXymvUQTlxOyUrnl/egfnGFGw824pBskk2yQAZIANkIFIM2Mxo3LcYxqnZOND4FrZInYeP41JefRTKxJWncM/kuH//bNnw9vrXWJgwGUsONjOnLdslB2wyQAbIQOQZsLbhwqaZ0JtyceRB9LzRk/LKxhH5xsE6gPX5ORQk6TE55wgeWyj5/iWfZcOyIQNkgAyMJQO2zt9RlKJHzLxdqIuSdJ2UV4oT5TXSDFif4dTqqdDGZKDsTj/rI9L1weOTQTJABsiAggEbOi5uQqJOj5mbL6PdFvnJA+WVgCoAjTyQYzmbjI5j2fDybD6mabWYkn82KjqF6CgXssh6IANkgAxEDQPWRzi0xACNLhnbajsjvv6V8kp5pbxGkoHua/h8th4a3SwU1/WyLiJZFzw2+SMDZIAM+GHAhvZf1sGo1UA/vxS3+iI7saC8ElQ/oEYWzKiZbYaVDyv+PbIc8RoNdCm7cKOfZT4x6p31zHomA2RAhQx0X0ahSQuN1oi8Uy8iGn2lvIZVTlQIJ8tj7GS+rwH/N0cPjUaHmcXX0M+yH7uyZ1mzrMkAGSADQTJgxqVNU6HVaKBPL0XTQOQch/JKeIOEN3KwjreZ+ttLn2KaVuOcxW68GH1JoMdbefN62HbJABkgA6NhwIaOqjzEaTTQ6JJQdKUnYv5AeaW8Rgy+Cd2J2NpxZs0kOBtgTA6OvbCxHtgWyQAZIANkIKoZsD4+iCy9BhqNFsb1F9AVofqivEao4KNG3PrbcOdaHa7dakXPRC+LMbx+2+sq5CUIHYAGutm7cXNwNLNhdXy3v+0OrtVdw63WyM3Wo6bdjSFr0XfN/Wi7cw11126htUcd7EZfGbLcxrZOyKxc3v1/Ynui1hV4MebjbGdkAi+U1wk9iDhgazuCZTEa6D/Yj/tMjj9mM96uc/mYLNx60WhgWH06YrNXuUMKezuwoe3IMsRo9Phg/31Ywn48Du5jV7dBlrWtDUeWxUCj/wD771vGrM1FbXmwLUQ/A2TWXUe25ziyPMYlr1ojNlab3X8bQ5Ypr2NY2NHYeVJegxx4Q8JLL2q3mJyL3oWHtVL+rwEDIdlvJK4l0GNSXqOx/UfknCgCERnsI1LX46VfI7MKZvvx5/ZEcfzSIrHoSkReZ055HavGZXmHl49uo+7iSRwu24XNa7KRkZyCTdWdsPs5B7u5Ed/lJmOyMRWrD/6NLnugohD4duGQV8u7l3h0uw4XTx5G2a7NWJOdgeSUTajutCsagPIc7TA3fofc5Mkwpq7Gwb+7/JbJuOiAB2/jq3lClgEh8hqDnGMjTDli60dn6138VXMKh/fuxKaPF2Fu4jx89luHz/Kztt/AoYIFMMVNQkpuORrN/upDWTeh+nks5NWG/s5W3LtRi1+OleOrHRuxanEaklI/Q+1bf9dqw8tfd2KhaTISF3+OmjZ1RAJt/Z1ovfsXak4dxt6dm/DxorlInPcZfuvwdZ1WtN84hIIFJsRNSkFueSPMYehLAm6bYyECzrZxDzdqf8Gx8q+wY+MqLE5LQupntXjr79ptL/HrzoUwTU7E4s9r0MY7UX7665H0Ca62efevGpw6vBc7N32MRXMTMe+z39Dhqz6s7bhxqAALTHGYlJKL8kazzz4tYOb8jLEBf5/MKliwoKX8Q+jFO4f6+XtxNwJthfI6WqgD+r4drytXIlasbKnQhc/4vJ/R7qvxOhzorSlwPdUnfE+Xiq+bQj+whlxe7a9RuTJWFDPXbXHX9cYj7+d2Px1QL2oK4uTv6FK/RlMEGkPAHVlAde6/g7e9Oo6cGKlsjPj0cp+iY/D/Pe/zG6wrgknIVuDFlW7mdvzpJaaDrefw6WxlvcQip/LlGObpGwN5HbyBXUniWiyPMjFgxU9+JgjWVlQsliYSWhg31kRW7AJiaxB1RVLkXln/Oszc/qfX+Q+i9dynmB2r2C42B5UvI7NOzcnwGIjA4I1dSPLRNjSGFfjJz8OR1tYKLHY+iCJmAKmJsDAFxELg/YV3/zGm/x6sQ5GQH9SjXQrj2kxs/9OrnAdbce7T2R7jZWxOJV5G8pWkZNZjjOr+ZQ0MUl3G5qKyfez7E4klBPmfJsjtnZtLBxvTRhMlHYC9twudvRYMdDbjxLok6KSKT8jH+S5f0RIHbC8voCBJGlgNWH8x9G9gCrm8Ouzo7epEr2UAnc0nsC5JJ3dYCfnn/USPbXh5oQBJ0sBhWI+LvSrplEfA18C1YiTpRJnQp6KkcdCjYwi4fdhtsNltGOh+geaLJfjIKA0OBuQcb5PF1P7mTxTPVYqrcOwYLPnxP3mbgI85gut17XsM5NVhQY+5BwMWC961NaBitXRrS4O4Ned8R9zsnbiQb5QZ1aeVoVkFEye7zQa7bQDdL5pxseQj51tvnP2rIQfH26SBxI43fxZjrlJchX4nZgl+/E/aJgLtbAxEwGHpgblnABbLO7Q1VGC19ICJJg5rzr31OYm2d15AvlGSfD3Sypq5NnvE7d2bKztsNjtsA9140XwRJR8ZxdvOGhhyjqNNElP7G/xZPNdDXAWuY5b8iP+kbUJ2Tt7nOMy/yazHGNX/53YkSpND3Szsqh/w+Hv4xxOH3GcH66KU11E0IGvrD1giDSjaROys9y8vg23V2JwivD40BV80qiDy6lEuVrT+sETuiLSJO1Hv96n6QbRVb0aKXnjb1BdoDLNADN49jqKNBSgoCM3/G7ceQZPfa1N2ija0V65EjDR50S/GoSfWEDR8Ozqq18uR2NicE3ghdPa2V6guSIRp6V78+awT/9V9h/y0qTBlFOGiLDnK8wvXz2Mhr57nbrm/HwvECZF+3h6/t7as7fU4VPghpus10C86jKdWz/2MRUc8qmPYO1C9XorExiLnhCvKbHtVjYJEE5bu/RPPOv9D3Xf5SJtqQkbRRbcseLTXMbrusRABj+uy4P7+BeJtTj3m7bnrR0qtaK8/hMIPp0Ov0WPR4aeweuxnjMpnAhzT3lGN9VIkNjYHJ5zRcBteVRcg0bQUe/98hs7/6vBdfhqmmjJQdNE9GR9VWxlp2ZJZjzFq8O4epEvBJk0sck92jGEgxNUOpWAo5XWkUI/ke9anOLxIiqjqsbiidZhOchDXdkyDfsYO1IUhGhn6yKtnB299ehiLJMj1i1HROoyoDV7Djml6zNhRh96RlGsQ3+mv3Ywp0sxREsnRfE7aiJqA3vU8iDulafJ6IU3MSvwUqlsuAzexO0WMdMevxbkuG95eKULqgi9w3WsZwdgPAGMvr44Bxa3KhE/x27Cv332HC+vikLz7JgaD4Gjsy9GzfUnHH7i5GyliND9+7Tl02d7iSlEqFnxx3WsZge/vS/sZk88xFwEHBhRLbBI+/W34t9m9u4B1ccnYfdN/UGFMykmFHAZeLgO4uTtFvAMZj7XnumB7ewVFqQvwxXWvZQTRUA5k1kNerU+/xxJpXNfoMT8CdykorxFpGBY0fik1XA0mF9b670wtzShLNyAjTOmFwi2vDksjvpSESjMZhbX9Ho1A2dlZmsuQbsgYk/Q5ts5HuHm9HvX1ofn/ekMLOgK6rdWPK0XT5VtmGkM+zoVsUtKHK1vFCJzWhKLL11GauQj7m/2XubL8w/tzBORVOUmMycFPw6zztJtrsSUpDaV3VCosfVewVYxkaU1FuHy9FJmL9qN5WGGPkMhGQASUk+iYnJ+GWT9ph7l2C5LSSnEnoDspYSpDy2vcPvcjyg8excXmzgCjWt149MdPOFR+GKfrnwX4BPggXjaexQ/lB3H00j10BdSHheaa+65sFe8UaWEquozrpZlYtL/Z/1gYkbFavFYy6zFu29pPYIX83IYr48BYv96c8hqhBmE+t1Ze8Ox/PY8dnb8VYsbMLaj1sy52WOGwDqKvrxe9vf7/73lSgWzhdmlGGZq6/W8n7KOvb2CYCLG/Ds2Mc2sN4vqUYdZZ2jvxW+EMzNxS62ddrL/9q+33vTifL5WHBpqEAlwMKGIbyHXa0fnLJ+JDflqYkmYis7QpwEEskP3738Y62Ie+YTjr7e3Bk4ps5+3YjLImdA+7bR/6BoaJ0AfcZt/h/DqxrPUL8I3fnKID+Gd/Jkx5p4eRGv/XPmwbDPhcR7l/eyd++UR86FFrQtLMTJQ2jexBwNFdjxX/397VcDVxdd1MAsEoEL5Bgx9g1IqNIiqvaFAUP9CHR5QWpMWioBWloLa4RDQqFUtFUSzKIxXEoiiIYEUgAgkz+Wf7XYFJCJCEZDJJCB7XYiEwmZm7z77n7nvuuecaRked+pwv+i6Ua2SQyJJR3Drs/NrRUYyLkcYxcgO75VP5rLKknxzXtB5/gRK1EulXfbmZcbbtv6C5YJU13Uqi2IizHfOljE3g7a/pCLesJsnikFM/OK/o1TedQKJVhCjw7flOBykVs9/R85+5TzXYGTJlE0YZg1h1EVpF84XuvB9x1u0+r69BhiX1USJBiPaG11dLZ78jiVdfDS6znmNsPQkVv8zHRB3DIzuzfO5zI3JVkdhVI8yR+m9p3NZxGNF6UsUvDzGIOvbIzrIsh8+NuVBF7kKNk+jYbPIG5s+DqE6f3jzFhGbjdxGjY5P51PxyDqPchzqHJaJsbeTp/8dQfyBsOprsSfoF/9mlWXdmzPSF2dqAh7kRU+/FRCHXQW75RHcVUiM2oKwjQKOuk75lKr98qnwNA+W+Ovsb1Gb5IWG4OuHLWD0OhFk2Dlo2P3nyfSmy7oggwg0PkRsx9V5MVK6D3PsJdFelImJDGTrs+GPRsXJkC8MT5K+wpJWZsZNhw9ku54EDdgBXtk37FfPRncpD9+aJYo6jKS9uevOwRALZpnK8FWOy4Khttr+f6MaFFL6djBL76uxvpPM67sRZ933t6A1o+cmgWUQGp1fjs61tffB/Eq8+ANle5+MGfsM2y8wleCeuz85JZAdQlx2HqN3XpzbeCHjP8aZCrE9UQaVy8pUQMRWpCw5HnLPrzH9T5+O+20KLw8Bv26xRhOCd1+fk4LEDdciOi8Lu6w7KGQlouz3MF8TvzINMGn86iUQCscWryfg/FCXyA0LITtQ4rK3rRIC4jfc4mgrXI3Ee/iRETEUGg8PjnHNSpYI6/777DnXOexvx4tRqPr9YDq3OzrG07Htcy4hC8o++iVB7k4PG/xUhkZ+4hOyswScHJfi8+Q6m8SYUrk+cx74JiJiMuAUjPM6Jb5rkkxr590VIezG+wKnVfL+Qa6Gzcywt+/4aMqKS8aNfItY2/XGiGxc1NqszTCi0tfOlDnxBw5Hp6hpmwZt0ar5qCRPoOje9odYseMP26jA0px/ZvJuofzPif0WJfP8Mwc4axzXPibMLjLOjt7CXP97cLCKDtl3BgA9TTsx8IPEqamd0o5Mb/kROGB+RkKXgQrdt6Roj3lb/HyITDqF+wH4ZLbE6s9dzXk0mGP7MQRgfUZOlXEC3LcmNb1H9f5FIOFTvsN6tWG1dGPf5hN+220RIlmbhtphLZewHXNnK359R4nCDCFErUfqIH3JeTSzeV23hKzsEQfPL7B3LLPp1exCbXISnouUdu+EDRMF1+nnshyvYyk+IGeVhNIjJKzHf1Q/5gyb2PaosR1oGafDL7EobbD90e2KRXPTU58uf9vySvq0K+9fHQalMQMrRGnS5EAme6K1HQWoiopTRWJNRiuZB2zFlmicznjfcioosNWKVEUhIOYraLl+uPrD4cGUrH9hgoDzsn5OaZuDhiOfE2ZnBhNE7yFo6vaISvKManxxh56Xfk3j1ErDzdgjbSIBsFYrbpnOaxjrOQxO5DsXP7ESKRH5fX4hX44tT1rIaM+tojqHjvAaR64rxzE4kZF4MPcDC+LoeF8tKUVoqzldZ+V3841J5Lz2uZ9hEVUK0uCmiyBh5nI/VCjkfzZBiRcEzn+WwObeXP8SrCV9u7+Fzy2VY9ePMSBQ7cBv7EtQobhW/frJzLBwICQ/4bDKN4HH+aijkfHRRugIFz6Z9iu/fx0kb/SEETF9we48l/3kVfrTxtyYTi4Hb+5CgLkbrIpjELChbO+P0yGPkr1ZAzq8WSFcU4JlLPtQJt5w9z5O/EWdniVcdtHy+sllEynddh94TfAV8lsSrANBEcQ5sL6o288vHTDTyHk3NeLmhx/g+OR4ZV7t9Ijp8IV7Z3ips5jcFMNF5fH4vh6HH3yM5PgNXu30/yPovH3gM9YfCp/NDg9NR/VkkZ6xvQdH6FJTcLMF6fkCQbfgZXb7KYXPal/wjXg2P8hA9uYmFQfiRxul8a7YPtZnLsbH0xTx5gSLZxik2nj9D31KE9SkluFliObZRhg0/z5Mn6eV3cugn/SIEDHiUF83nP4fjSON0hJHtq0Xm8o0ofSFCeoK/MA245+rRUrQeKSU3UbKen3DJNuBnUWpee96f5nCXODtTvOqvY5cl7XEyv9pJxSQvcZPEq5eAnUP+Oc/RQ2fdda5Adv04TGOvcCk9HurC5jl5ofPfT1iH9YV4Nel108ndimzUj5sw9uoS0uPVKGz2T00/Y9ddnD9dgpIScb5On6vDK5eiBga0FFjyvMynHW1GxewlzDlcccW2evxVqMaGU88xZmjG8Vi+3qt8B67aPe/elXuKeY1/xKux4zSSeSEvz6jl8/mMeHN5OxJSK/DKheVYb/U90e6r/wuF6g049XwMhubjiOU3gsp3XLV/brwgfonIBb8IASM6Tidb858zaoemBmPjG1zenoDUilfTExt/4/MVPF//VyHUG07h+ZgBzcdj+U1jcuy4+tHu6Wei9RWh2BJnZ4hXduAy0qxVKmRQFbT4vP+QeBVKZo8/Zz6f3BKBC8bOax24c0iFhL21eOdEBHH6N2iszENaYjqqHJzR7U5H94l4NZ9rHc7vQA7eiWsdd3BIlYC9te+cR5fHe3D/7AFoVEqEBAVjafQabMv9Bc39vo/UuoOp82tZ9FZstjlhax1Ov/S0PeZqDceQnHIabZMpCMO4langE9rDcKDeJv2E/YCm6/fRa43GctC/aURlXhoS06sEbw503maz8PGPeOX6r1jrEcpSytE9YcLYizKkJOzCtR4n5bg4Pd40ViIvLRHpVQt4IyH3GY3HkpFyum2qJNrwLWRaNlKEHUC9TToO+6EJ1+/3zti1Pt5zH2cPaKBShiAoeCmi12xD7i/N6Hfig+a39TxC1y9CgEP/la18v5MhZfJgmDG8KEtBwq5r6LH2B/vv7hecPB5j7LfFY/t5+F7mKjrHklNwum0qH3/4ViYU/J6IsAP1NsvPLD40Xcf9Xif91MN3cRmLAOSsy20TgOFE1zls5IMC5qPGN1f0zluWTez3IfEqwHDiGMGIpwXL+RmnFJHx8UhIr0Kno9387Ee01pajIHMNlpmXQYM2B454NT5FwXI+EiiNRHx8AtKrOp0v1070oFYbDVlQKOKTvsHGtXFYalkKj8vCTWfCw282dW2wGPvjMCIs9Ril8ch77Nm50MZ316BN3IILnZb7sOip1PADtRSxeY8xPomJAd2/7ca3Bc0YMZnAfmxFbXkBMtcsm1xODdq8+MSraex37FsytbFAqirEs38fIT9JhcP1jiI8LD621qK8IBNrlpknXEHYLIJ4NfY2oHjnakQoQhC+Mh0nf+/mbeIaZ+z7HCPeXdMiccsFdI7z92F7UKnh05GksdPcMnTjt93foqB5xBpBmeiphTZahqDQeCR9sxFr45bykUkZ4rJuzivo7L+TC+3xixAwYez3fVgyKZKkUBU+w7+P8pGkOoz6eVYmPMbJ2IuG4p1YHaFASPhKpJ/8Hd0Wey1wXzXDxmK0w/gO17SJ2HKh08p/tqcSGj6KJ43Nw2MeG0P3b9j9bQGaR1zglLdxDDDOzrCbF7AxtJ7ESot4ZZQ45OTwIW+9C4lXLxjWNWNNoLN0LT9YMFBuLcffNlESh/cwtqMkSRZY4nWiE6Vr+bwmRomt5X/bzK7tO6aRhiNQp5fhQa8lD43FUPsVZMaZ78NAmX3XZ6kVDm0hkDsTb8uxydLxJUuRddv1igBsjw6Hk8IRGp+K73SdGPjnBnLWJCL7zsxawMb2EiTxz2Cis3G7pw/PKjOxNu082mdtELNcuyjFq/EJ8uP4iZNiC/btWoF1P7RgZN4yUka0lyRBJoZ45T6iJsMSCbdUGFmO3EZ36lqy6NEdRlJ4KOJTv4OucwD/3MjBmsRs3JlRG9ny3ubnMIjOvo2evmeozFyLtPPtNgdWjKDhiBrpZQ/Qa5kws0Nov5KJODNvGCWy73oppcdPQsD4JB9xfEqFYss+7FqxDj+0jMyzTO0pThw+1mRYI4tTA64My3Mb/VOHV6DPMpkEtIPtge5wEsJD45H6nQ6dA//gRs4aJGbfmXkYiGVMM08smGhk3+5B37NKZK5Nw/l2132j2H56xv0CirP2x9QZ7RHMg6l7j9UftDkQIwXn3/g+Ok7i1UMjCicEi7cVmxAkYRCqKUPriIslsdg+XEoNCizxyr5FxaYgSJhQaMpaXRAOY3hQegpNw7Mx4TDckDO5AUcal48n3lza9CYvxh8hL54XVBIZNBfezVjKdcwpDkO1GdaT2SY7rywGGZdf2ogS3nHZRrv5aFNEailaZtcTNkdg+y4hNUiCRSleJ16hbB0/cTLXsdxW5VLZIXOaQ9+lVASJIV4t/OeXRi1OV556yfU0DW4ItbZVKswF5WMycPnl3MHd+LQAy3mRNvksaQRSS1tmTvbGHqD0VBOGZ4t4bhgNOeaNTVLE5T9xntYjtI/4SQhMvCrDOsukkQnDtqqu+fP0PMbJ4uenywpN2kSeiksipH059hViCxj328EN1SLDppC9ufZsTMZlvJw1eTaZbFch+VWSiFSUtnhp8iSEt4HEWSHtc+szLD5e2WZNfZPG5uKBH1YSLH4Ubv6TuHn95OWWh/muw4ndgcW8H4eB6u2ISCmxKygcYsT149e04MASr9wAqrdHIKVk1gDqVofhsec3f0lVJ9EaqOLVNIQb2mV8TqoUCcebrUtoDu3OY8UNPsHZjJUIVYRDpclBRfMHBwPwBHruHMPG6CVQRK1DVlkjeh04GK7/V6QFL1Lxyn1ENV9XV7Y8B/UDLtS+nMSaQ/+vaQgWQ7yaOPz7sBip8QrIw1Zhe+4JZCRIwUTk4qHLG8Y4DD45i4yVoVCEq6DJqUDzh+kd8zN4M9GDO8c2InqJAlHrslDW2Osyv8z30eu0kEukUJ1sXVTilftYje2TO6RlWJ5T73FRdVdx4v59iOLUeCjkYVi1PRcnMhIgZSKQ+9CB/YT4RR98xu12cIN4cjYDK0MVCFdpkFPRjA8O+D7RcwfHNkZjiSIK67LK0NhrSYESc8z14F5+Eq9ic3aGnxDMGQNaT67kV40lUOy+7vPTtcztsOhJd7UoiVfBhvegA5mfKbJ4FYfMHrbJHSyHa7FLziDyyJ/zph4s3Lax+HA5zRpBlaf7vsCzLTa+Ea8+5MgMPo3h3oGlYBQpKG1zp56rmOJ1dtvHcHe/AtKYPDQ7GMxt7ePr/w/X7oKcicSRP202+s3AdHZ7AuTnsXs4sJSBIqUUbSLUcxWK09jd/VBIY5DXHFjidTYPfdsOFj1V2xEZppgSTdJYHG82C9xRdNefgnZtNJaFrkGuw1z2AOHo7H4mhLNsD6q2RyJMMbXiJI09jmZz4GK0G/WntFgbvQyha3LnzfWebe/pn/XQWTcEy5Fa6fvNWuZ3IfE6mywL/eevXLyOPcxFjFyNM+2B7fgnui9Aw9fJky7PxxM/ipjFLF7ZPh2y4uKQpXvvYmqGZZDzonjlc/yWZeowOHvZ3u/+ZwwPc2MgV59Bux85OT1QWuzh6XcWfbosxMVlQfdejPw8oTjxOcnLMqEbnJ0W5Wkbffl5P7VD34DDkQyYmP+iaXQEz68UorSuC/1/HEEU48XVAr/0S884q284jEiGQcx/mzA68hxXCktR19WPP8zHCEtVONkqsMqNsQ3F5n035jSooBT8/FqM/uQ+d0m8+oWU7hvK6sy/ZvHKDaBWG4WkopYAjrrytp94O31+eVAqKv2Y/7ZoxetoO85pYrCxpFUAX7wlXjl8unsQMcGrcPLp3HxVaz/3k1/iBmqhjUpCUcviirqOtp+DJmYjSlrFaZdQnLhPd3EwJhirTj6dm6fuJ5sL4Zy/2vHl3kGEMQzpvbMxAAAJfUlEQVSi/tOATt1pVEzmxXL4VJOBEEkIMq5/mmcDngdjr4/t4xlnv+DewTAwTBT+09AJ3emKqfRE7hNqMkIgCcnA9U8CJ0+D15DBn64VvKkcb+YpMyeEX658hsSrjwnpilGcXvPVilcOgw1HsXbrBby07I4ONNvNeF8Wfb/umNqFzIQi69awtYSRU/vPuIc4jnhRile2H3cPq7B8vw7vBTlX74hXfXsFdkSGQXO2TYCgFsfeDvnFDaLh6FpsvfDSeRk7L3DQ4TuJ8Cy2/y4Oq5Zjv9vRdwd4C8VJ346KHZEI05xFmyuVZURou1dw9Vs7jGj5bipfeO9PJSio7uJzsvWoPxgOJkgj0oEvDuzuQ3t4zFljC76bzKvfi59KClDdxUdZ9fU4GM4gSFOBHlZYO8cbcxEzuSF0CbZW9bi5oiXsmfZ4TOLVh4S0ZwC3f/eVildjTy0O7vgeD4XOFheinT/XITvSXEtUitjcB34TDItOvHJ6tJ7ZhDjNOQ9yG8UVr5z+LR5czEZyrBo5VzugX3DpAkb01B7Eju8f4tOCezfhAx6nb8WZTXHQnGvDF1F8gACcOD3ePriI7ORYqHOuokMvMOIlyvsLx9Lk73ZMdKJMLYNEFoXEvVV4bdmwO96EYzEMZOoydAqaqHqAiRdsIgZnJzrLoJZJIItKxN6q19aNl+NNxxDDyKAu6xQoOo1oK14zmXfMKLOg++TqBljxMSbx6gXyuS1I3XmHr1C8coOPUZyVj/o+/+TWeM+eBjwvNtcSlUCawCfVu8MFka5dXOL1Czoq05GQfAIPPJroiCheJ/5BpTYVB0puoO1fgXlmItnaPpc5DD4uRlZ+PfoWweBvbeOXDlSmJyD5xAORBLkQnCbwT6UWqQdKcKPtX6uIsL6jV+0qpmDwfzssfkoSlITi55b63yYYW4ugksqw8ofnAYwvbytROGvxXRIEJRXjuXWl0ojWIhWkspX44blAP2TsxJn15nxXGVYVtvgt4GLuPyReA8Z58OT+ysQrN/QU5w6dwO0egZ1tgduXHbiBPREMJNI45DaKk4/n7sBoGRS8W+dVzIHUci8Ogy3noV0dhiWR23Cx7Q0aizWIXX0Udz2e6FgGAHFO2HLXJr67nsPQ03M4dOI2eiyRrAXeZ+xiww2i5bwWq8OWIHLbRbS9aUSxJharj94VSZAvEpwC0bb8O4/UZWGZ+YCafXU2kxHzYT9qyKzVByy+IQC+e42zI6jLWjZ50Mi+OpscYPNhQWoZrNUHBHDB2FEyGdFlQnei2o/7NMw+gMSrAAPadZ6+uo/1kIJNqHjrv5C9LzAw1zQ9cyAPundzhauh7x4Ki27ZOLEAcFZ2OWLEq3INFOYC+tpafBSYh+SJPayHFGyqwFs/PF/wu0904dwGywEEUydKhaUUobFfjAj99CEFmyre+vzcbsGY2OWYo75hrh17BgfydHg3R7ga0HevEEW3bAY/t+7t6Jne+b35rPUNlgMIJk9qCkNKUSP6RYkkLx6cfMMrb9jYgMd5MWCk8TjRPB11NbE9+EUTBEaZg4YvRvS97l6AKTn28fAaZw2PkRfDQBp/As3WqKsJbM8v0AQxUOY04IuxD6+79W5ubhvFozzzkfZyrD/9t4P64vbb6g3ekXhdwA55jsE5A4Zf1yArWgoJEwFtdReGDItTwBr7GnBCvQzKVd9iy5YtNl8abFqfCKU8FHt0g252Pt91rDm2c8az8b9R+s0SSGRJ+KHVxjE7+4xIf+MMw3hdk4VoqQRMhBbVXUMwBIyAHUXbxXQkKOQIX5mG3MrH6HNwEINb9jBxMAy/Rk1WNKQSBhHaanQNGRaZgDWir+EE1MuUWPWtbf/agi2aTVifqIQ8dE/glHMabcPF9AQo5OFYmZaLysd9bh3M4JgfiwwnkfyGY7y85GON7fgpSQZp3ImpmqV8O7ihm9AukcBcK7vz0WVcfvQxcPqplzhrbP8JSTIp4k7YHn7DYeimFkskcqRXd+LR5ct49NE97cC+r8bOUAbBawrx1wLYcEjiNWA68zBu7JJbQ+UWw0nkWugWAJHEdGbcx3ocWRE8t602x2syYftRN+QlR+kHTox3XkBqqBRLNeXo9FV9zeEb2DXj+MapoxnlWt3C2wnvQ5sM39hlPUDC2s8kcmh1/knrELNvTd2Lw8f6I1jB1xmebqPtEaYMwvbXYciHuIvfTk/9A+G0UGzC9lZhc5C5RFbjjDxLtr8W2oglUKr3obx5QOAmJE95spA+z6K3ajOCzCWyGm0DISz6a7WIWKKEel85mgfcXZ36jIajCZCFqPHDAimjZ/FbdMLWV+2kF1Ln+1rfZQLvbx/C8iAFUkrF2hn9tWJJ7V4oooPeg7hIHAh0DrCTk93lQUpsr+oUaUXDc0xIvJJo9Vt9UXJqszvwKDqqdiJGvgKH6z4EzvIX9SHqQ8QB4gBxYFFy4EtbObZGhOKb4mZ8XkApZSReqcMtyg4XuMJ4FJ3VWVAp1+L4H/1kG+qfxAHiAHGAOOAHDrD49KQUabEx2Fr6FwYXkHA1j+8kXqlT+KFTzI440s8zxfYEBh6VIkN7jmxD/ZM4QBwgDhAHfM8B40ucy9iGovp3fq8sMHN8nNILJF6pU/i+UxDmrmFunFsizF4npt/R5Ic4QBwgDhAHxOWAEQZfbR4WoAlIvAoATVyCUIcjPIkDxAHiAHGAOEAcIA64ygESryReXYsCEk6EE3GAOEAcIA4QB4gDC4ADJF4XgBFcnWnQdTQrJQ4QB4gDxAHiAHHga+cAiVcSrzSLJA4QB4gDxAHiAHGAOBAwHCDxSmQNGLJ+7TNNaj9FW4gDxAHiAHGAOEClski4kXgnDhAHiAPEAeIAcYA4EEAcoMhrABmLZls04yYOEAeIA8QB4gBx4GvngF/Eq+Wh9F1iPSWCsCAsiAPEAeIAcYA4QBwgDrjOAbj5T+Lm9ZOXk0FcNwhhRVgRB4gDxAHiAHGAOEAccMwBd7WoIPHq7kPoekKAECAECAFCgBAgBAgBQkAMBEi8ioEi3YMQIAQIAUKAECAECAFCwCcIkHj1Ccz0EEKAECAECAFCgBAgBAgBMRAg8SoGinQPQoAQIAQIAUKAECAECAGfIEDi1Scw00MIAUKAECAECAFCgBAgBMRAgMSrGCjSPQgBQoAQIAQIAUKAECAEfIIAiVefwEwPIQQIAUKAECAECAFCgBAQAwESr2KgSPcgBAgBQoAQIAQIAUKAEPAJAv8PzcQE1HvIt8cAAAAASUVORK5CYII=[/img][br][img]data:image/png;base64,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[/img][br]Tomado del trabajo de Moisés Villena [url=https://www.dspace.espol.edu.ec/bitstream/123456789/5241/1/Precalculo%20de%20Villena%20-%2001%20-%20Vectores.pdf]enlace[/url] págs. 7 a la 10
[b][size=150]Suma y Resta de vectores forma gráfica[br][size=200][br][img]https://www.geometriaanalitica.info/wp-content/uploads/2020/07/suma-vectores-cabez-cola.png[/img][img]https://sites.google.com/site/calculovectorial3/_/rsrc/1472875980135/suma-y-resta-de-vectores/suma.png[/img][/size][/size][/b]
Revisar el video hasta el minuto 10:54
Explicación de la suma de vectores
[b]Actividad Vectores Suma y Resta[/b]
Producto de un escalar por un vector
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[/img]
[b]Explicación[/b]
[b] Propiedades del producto de un escalar por un 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[/img][br][/b]Tomado del trabajo de [url=https://www.dspace.espol.edu.ec/bitstream/123456789/5241/1/Precalculo%20de%20Villena%20-%2001%20-%20Vectores.pdf]Moisés Villena[br][/url][b][br][/b]
[b]Práctica[/b]
Test
¿El producto de un escalar por un vector es lo mismo que el producto escalar?
¿El producto de un escalar por un vector al resolverlo resulta un escalar o vector?
Se tiene la siguiente operación 3u=3(i,-3j,-6k)=(3i,-9j,-18K). ¿Qué relación el vector u y el vector resultante?
Vector unitario
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[/img][br]Tomado del trabajo de Moisés Villena[br]
[b]Definición Algebraica[/b]
[img]https://calculo21.com/wp-content/uploads/2020/02/image-134.png[/img]
[b]Representación geométrica[br][br][img]http://www2.montes.upm.es/dptos/digfa/cfisica/magnitudes/magnitudes_files/unitario.gif[/img][/b]
[b]Explicación[/b]
[b]Práctica[/b]
[b]Evaluación[/b]
Si [b]u[/b]=(4,3), entonces el vector unitario con la misma dirección de [b]u [/b]es
Un vector unitario tiene la característica de que su magnitud es exactamente 0
El vector unitario de [b]v[/b]=(16,12)
Demostrar que i y j son vectores unitarios