EL ENIGMA DE LOS AGUJEROS NEGROS

 

 

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Un «Agujero Negro» es una región finita del espacio en cuyo interior existe una concentración de masa lo suficientemente elevada como para generar un campo gravitatorio tal que ninguna partícula material, ni siquiera la luz, puede escapar de ella. Sin embargo, los agujeros negros pueden ser capaces de emitir radiación, lo cual fue conjeturado por Stephen Hawking en los años 70. La radiación emitida por agujeros negros como Cygnus X-1 no procede del propio agujero negro sino de su disco de acreción.

http://www.publico.es/files/article_main/uploads/2016/02/11/56bcbbf4e1f20.png                                               Recreación artística de un Agujero Negro ( Black Hole ) 

La idea de que los agujeros negros absorben todo el material que encuentran a su paso en el Universo y que ni siquiera la luz puede escapar de ellos, es bien sabida por todos, sin embargo en la actualidad existe una teoría que plantea, que también tienen la función de radiación de energía.
Si la Tierra pudiera ser comprimida en una esfera de 9 mm de radio se convertiría en un agujero negro, un objeto de densidad infinita que provoca un campo gravitatorio tan poderoso que nada, ni siquiera la luz, puede escapar de él. ( El radio de Schwarzschild, que es el radio en el que una masa determinada, se convierte en agujero negro. Para la tierra es de 8.8mm, para el sol es de 3Km ) .
Durante décadas se creyó que estos oscuros vórtices hacían desaparecer para siempre lo que caía en su interior, pero en 1974 el físico Stepehn Hawking  descubrió que estos sumideros cósmicos no eran en realidad tan negros ya que, si se tienen en cuenta los efectos de la física cuántica, emiten una radiación por la cual comienzan a evaporarse hasta desaparecer en una gran explosión final con todo lo que se han tragado.

Esta teoría pla nteó otro conflicto, denominado «paradoja de la información» consistente en que nada puede desaparecer sin más. Pero según Hawking la radiación que ha emitido el vórtice en realidad contiene la información de lo que un día se tragó, igual que el humo encierra el contenido de un papel que se ha quemado.

 

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2:43:3

 


Los agujeros negros han sido durante muchos años uno de los objetos celestes más enigmáticos y desconocidos. De hecho, la confirmación de su existencia por parte de la comunidad astrofísica es relativamente reciente. Pero, ¿Qué es realmente un agujero negro? . Definido como un objeto astrofísico, posee un campo gravitatorio tan intenso que cualquier partícula que se le aproxime es atrapada sin posibilidad de escape. Incluso la luz, a pesar de su velocidad, no lo lograría. Se analizan cuestiones como el origen de su formación, su relevancia en el devenir del Universo o su determinante papel para resolver complejos fenómenos astrofísicos…

 

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«Si caes en un agujero negro, no te rindas. Hay una salida», si el hoyo fuese lo suficiente grande y estuviese rotando, podría tener un pasaje a un universo alternativo.

STEPHEN HAWKING consideró que los objetos pueden quedar almacenados sobre los límites de un agujero negro, conocido como el horizonte de eventos, es decir, las fronteras del espacio a partir de la cuales supuestamente ninguna partícula puede salir, incluyendo la luz.

Asegurando que no serían un pozo tan oscuro como se piensa, Hawkins indicó que los humanos no desaparecerían al caer en un agujero negro, sino que permanecerían como un «holograma» en el borde o «caerían en otro lugar».

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«Propongo que la información es almacenada no dentro del agujero negro como uno podría esperar, sino  en su frontera, en el horizonte del evento», afirmó el inglés según informó New Scientist.

Según el físico inglés, la información sobre las partículas es traducida en una especie de holograma, una «descripción 2D de un objeto 3D», que se queda en el horizonte del evento. «La idea es que las súper traducciones son un holograma de las partículas que van entrando. Así, contienen toda la información que de otra forma se perdería».

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La llamada «Radiación Hawking», fotones que salen del agujero negro por fluctuaciones cuánticas, podrían acarrear parte de esa información, aunque no sería un mensaje claro.

«La información sobre las partículas que entran es enviada de vuelta, pero en una forma caótica e inútil. Esto resuelve la paradoja de la información. Para todos los efectos prácticos, la información está perdida».

«El mensaje de esta charla es que los agujeros negros no son tan negros como son presentados. No son las prisiones eternas que alguna vez pensamos. Las cosas pueden salir de un agujero negro y posiblemente salir en otro universo».

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LA RADIACIÓN HAWKING HA SIDO OBSERVADA  . Jeff Steinhauer, un físico del Instituto de Tecnología de Israel, publicó un artículo en Nature Physics, una prestigiosa publicación, en donde se describen los experimentos que ha intentado para crear un agujero negro virtual en el laboratorio, con el fin de demostrar la teoría de la radiación propuesta por Stephen Hawking en un agujero negro.

 

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mV8ufNSnb1UXUGQEean/FbN9btyLvQ3eoXFxjCk5NVD+LIfA0PlYxPTPKqWH6pZ0VJHI2dIstlkVCaQyH3mRB4Crt/Ktpuq8DKZ6fKq2kMnOQ6/CFtRSRN+1QdI4x8QG/xWnDuJ1lUiXgagjI9l3hYpDuJql0j+rfWpJGmuLCKdSLY1eNU1m0Ydclbf9kXgYYFglO7qXIjY1chS+dPZBRfLvsIdZvOPLuqaLISYML9vdEDJsm8LTFBKMVaerbOgqaZchn5G1VFEbO2FNJIFaKRVqMTFGFASAACRqSQo7yLSixLDZ4qsGHbdJT27FNI7TGGRYgAqExsFCLQLyyBrX8VhAh+GwA33najHieI+YuuGxTh2bPFGSIZN9JwABGrGrVGeWTSUIHPCGPMWB/UfLAe5+r9sslh5GzxPL7R0Oz5rpCCInF4vHCtVI3SmupIyY4T4YCfZtF5EV5teht+s/X1irMBhtAb6newV+zbngCLHQNRnjduyoGT3px0GaxA9C3SsokS1Mu2ED2YObuCdrQJNbx/5fCTbQ2qMQW7gLEgwqWUFnzJLv3sSTTkKC3TDgUnEqTw2DYoPjVky7uqCUYAGHEjZMD11KnoeYP8AravqoaEd/up+kTFQe/2Vc8VKEGqnQ/oehFma6dDelc2VRcvV/R9bsPR2a8i5xvMjpGcZLYyjxspPPBVsW7GRpTOtgZNqiJuortn7TG0thX2W8wwmS6n1bxxhDQBGAy05jLKlMsrZzZrNdJKtj7Tc3i5XbY8UqQpumvEmBcUpZhvGnfOiAVUKSBUkAaWIdNAtkuou0ccXpYYooYgHjxMcAqrbpmJj5IzGlSBnn1NiggvQTaTXnbl6u80V3eIPemw/RruDVZaAlxGGY56kmtSTU2yyQf0UyI213uskcTwyNOcDxRtnHiK0LKSoAByBpZTOYTNIkU5/owuN1fbO0Ee7IzRSXiSJuUYWXBhWPsjtVDaimVmSo70JvF32wkN1kuUMcEBaclK54eFUIpWrF8TNiOILmOLKbHeYsy5Kr2+UPzSjZnpVcfpMjXm/PJdCHQXEXLDEFzCgKCQuHLMAMcOZtRSXmu3ljF4lMJJhZmaItrgYnDXv5eVlh3SyomiXzzqgLOkRV5yiiXrjkP4jhHyj+dpNq9x2Dr1VX0Y0bT06IQ2qpIvaJpM1PZKgfhAH6WnC9AVY3rK7S57bbdRzy38hgrMwN3qcUgMSLiGoGAvlrgrkaG03G04tBvpwqeck7RZaHEXV40HKaHu/pGQzE7TahxE0utMRPDXsmhIzPkPC6ghb3tvEUZr/AIymLW60C1VhiXKuI1ArQUrXKgtlk0vt+jSCRJb6zNIxDEQUYEqlMNPdULUZZsOlbc4/Udq++pHsun+Uy6v10HNUJf45VczX8vHhXf8A/LCsmJiVROEEUYsRnlxEUtR7peUXm75UWNxNwvRlx2imKa9ybQLIzKZl3ChZSVXdxgHKoAOIAnhBBpmSkQmkNhqeWfeKdgH8xwp1yWrxIWRy87XgySJ6oR4C5cMREhoCoIoW92MgasBbniPFA0yAx2Y7sMzsVmNcLxU9cN+OQ2pBta8tIzXWJgzMcV5m0VinIH2YYhkOWWmlTCaGgRXj/EY1/wCTkIjpnw27z3gErlpkIYsSAU3jISXNTVu4VyA5ACudbdA/vdI5Tu1KJ/tFM5IZCY6VGJHGYrkw7jyIPmDZzJ91477zSibL7ipEbs+/G4y7wPydf95Gw9WojvgUZWdYPfEL0S6bSucWwpLh9NjF4kkE6Nu7wV4XjYKWERo1EplUAkZ87MCHUO9KQWyI3Kz0T2zcodlXuCS8xpJeySqGOdlQ4FBWQrGaVNdK5HnZQJgsJr3VOSAQ8CndEfe9rbLju+zd3eikV3Mcr3WNGxyyqUId2yU5q1WbkTTPK2BJrlegQBTO5SvnpPs2LbqbRW8vIJOCQblwsKiIx1JIxMS2E0Vchi7rODMTCQiRkUBsTbuzrhth72t8M8czT4ykLhYhK2MVYmshBAHCulT3WKCn6MT7JuO1vpIv5mVt8ykRMqx4wTR3zMjGuEBVHMmmhxMgsBMqXoZt7Z1z2lfb2989XNvVVTBNjBkkEhyCsMIApUkEmuQpU4GYmiRIySj+jf0gTZd5kbeLeIaKrNEHFVbESVWRVOIYASKaAgEm0XmzEadRHJVYLUNw1g81npLsnYhla9RbRcxOxf6LHCxkqSSVV2oIxU+0Mu+1lFcRe3VlDKuFQ7qFqThVjiUYjmaVIr3WQUeRv6fCc1YDlTr8oM2opozamUhXkgVB+BQp+YJ87ShemedeKrG9cspDgh4Uqyr1IHxNLUcZAlI0TIClfHq7nqzH5mwYJNAWeZuJ1pht9gpWAf2YUN3thAPwAp4lrQ0fzAxDjds+/hdGkmyRDGF+3vqlVulcqO2XFmZSKhCAi+/I3YXwHaPcKc7Riu/EY36hj8BWgt/I4Xazgt37FJKsSVcg4F+2xJLt+JiTXoB0tocmMtOpjsGA3BGJNz7IrKm/E8Va0O9dLrAQVUnjOQZvbkbooAy6KvUmy2rDTFicOQ29ViLRENnevvBMblCkzVUhbrdgcJcdo5F5JF51OEledY0GtoPLmCR9br5ewHeblZoa6v4tu2596gitq350IjiDCeQYUStWhR8zU/t5a4nbkDyyokKG13md6RecCR/xbcM0Yji3yj1H2HycUHs7ZyspQMdyrKJpE1nf2YYOo79PbOQWzxYxaZy8xHlB/EYud3qGKRkMESwxOZyHetUbb2ijSUUtRFCBYnwxoATwx5VYCubntHEdCLPAgkNrea1FTrOWzASCWLEBdT2uSmCYAFWBKHUDUH3l7/zt0ubOovUWulQ3K0DBwPxRtmGHyZe8aEeINl9VW3juRTemhuPc1GmAlHzU51HydP8Aeelj6habf3Qoek2XXd1C3GAhKP2GA4h/C48PyJFgfMLTbx3JEeU2XXHsFdD6G7CivUpu88pVkYsI1BqygcVHpQKcj11prbh07SnwGeJDbMHHLKi6NHgtiGw83KHp3cUS+SRRIEwLHhVea4FqO9ganvFelj/DornQGveZzJntmhpTB4ha0XcpLl7ekuNaNssito/WFuThXH4wCfnW04XpllTgqRfVPOvFTuExVJCNRu2/dcD/AB/OwiNmWjaPb6TQnSa7cff7VF6jwsQNNV8DmPkbOwzCm8SNE+9CdhrfJJIGkwDCHFKFiVNOEHubPytxfxDSTozREAnWS6NFhCKS0lLmuAS9mDGHCSlS40IQ1J+ANriLagW5SmLtqm2HKLZvryS+STESx9ok/HO1wJCSkTMzV+yx65O44v3at+lki+g93p4I847uRPo9dw0od80Sjt3nUD5EnuVrT0lxayTbzRU0Zgc+0bhVLpJCxLHViWPicza4AAkFAkuMypQQs7KiirMQAO82DnBomUWtLjIJoZlUFkPBCMEZ96R+1J8ASOgVLQskmRvdU6gMO9a6bQaJi5tBtOPepUAbmP8A6sq5dUjb8mf44fvWb+Y7UPc/A57FL+W3WeX3y2prDsx0C3OMf8zeKGUj+zjGYSvfTE3gBbnMZriYzvS27Wc+g4robCLQIY9Tr9Q7vRu0L/FBGm7GKJCRCtMppENDK3WKMk0HtuW5VAnDhviONq836gcBrPsEXxA0CVwu16+7yhtmbKcmTG5VsjeZjVmQP/ZJzeaQmhHeF62aLHAlIf4jOWJyaMOOSRkM1mdp6bSo7Yv5LLdrumEgGNUTPdqe0itzdtZJOdKA0BJMGEADFiHWScTnLIfiN96ER5JsMGrZ95lK59nqmEcT5VLKyqpzI9XXNlypi5kGmVLdDYpdM3cZ79am6FZ75JdJGRSopUAjvB5i1wQblEgi9W3eYUKPUoemqn3l/Uc/hZXNN4vTNcLjcu62R6ExyXFpXvCMcLNGalUiOpxtqRzIpTK3jR/4k9mkhjWG+uJOwL0GaIDCmXbMgqtlejOz5T9G+nM0wJoN2UAPMJjHF4VzpWzRtM0qH+r4Qs7Z8ZfCVkCC79O3VHejWw5LptKKOQhiI5MEgyDphNMuTKciOhHIWjpelNj6I5zcxMZGfVUgwjDjAHLiPpS9MNhQtfjPeb0t3jYJgpm7FRQkD2QMszYaDpUQaN4cJloic8q80NIgt8W290glvpL6DJGgvMV4XcNQsxUsFDaMuCuJSSBQDLEOWnRon8Tc9xhPZ5sBnLCtxU4+iBottNEPL6AMsH0k3uDc4Q2MLIRQ8xQVPhajf4qHRPCEN1q6VEh0OTbdoSXPx3dJN0plVFq8e8KuRkcScIGLPFTTLnbtL3MtENncZU36sFGyHBtcxP36rol9B3Sf6L9IiaWRDVQH4FqrY2NKUqoAGpqOWduE/wASa6H4tkgA6qnILoGiScWTEyFVBsO4zssMd9cSKd2HeHgckkgDiqM6gV7h0sztJ0mEC90MSvkDUe3FKIUJ8mh1RS5T2R6FSSXyWNHAhhd42diMRFKGiDOtG1yHfyssf+JMZAa5w8zgDLDj2UYWikxSBcJhC3z0fKX6e63ZWYqoSMEitZUQEk5DIM5ryAtWHpdrRmRYplOp3E/AQ8GzFc1mApv7Ks/4buccou94vrb8kKRFHVEY0yZzrmeg76WX/WaQ9niQ4fl1mpGxDwITXWHOrqCzanobPdZwgIkEiOsTgUqzUjwsPZNZBzpTzpoP8Rhx4dq6RExqFeiY6K6G+V9DLfTqi32Rc7ur3ea9MsqA711iJRWlAUZ1q1FJ095vC0hpEeKREYwWTcCakD2FeicQ4cNpYXVF9MTTl1SH0r2ILpMsSybwNEsmOgAOIsOHM5UA+Nu3Q9JOkMLyJVIlsXLHhCE4AGdEIvqo6/2kq5dVjOp8X0H2QfetX1ulgOf1z2Lfy2azy++W1FvCsYGMApDkV/aTMAWX7qgKGPRaataYcXHy3n2bntOH0qOaGgTub7u+sftX7MQqTepwWc8ajnmaK1PeY5IOQBb2VqkUz/SZQXH42DHhiUYQr4j+/wB8OOCbXa7bpJ2najHO9OuvIi7RH3jUByMgCq8jbnc+25oYP8f/ACPTiqNBAcX/AP2/8QhtmXWSeT6TJhSo9VWmCGNa0YDSigHANKqznIZvFe2G3w21zzJy347gL0rGl5tmmWod3cVPbe0aFLrdUIb2R7Slu071/tWHM5opOhZqLAhTnFinblsH9o9zqAnosS5jB3ntPsl8u7ui4MnlYcXSnIHmI/s6vzotA1xajm1cBd3nywrcpswRI1Pftqxxpeomilc7xwSWzBNMxplXllQUyyt0tcxvlGCg5r3G0cVOIjDTN01ZPaU+8h/33jnZTfkcDnqPexEGmYxGWsd7VRNBQBgcSHRv0Ycj3fCtna6dDekc2VRcvRPRUA7EvIJoPXZ60yXlbwtM/wD6MOWrqvR0eX+mdPWuFo1VWtJUoY3B7QGa0PXKqny6W9mkifxN4y7x4rikZgYi7X3hwXtG0HU3q44vrDvyPDd8XzK/C3yUIEQYsrvLzovYdK2yd9eS88/pExNf5I2PCyxiM9GVQaHpXEQfvKeVvd/hcm6M1w1z2T+ua4NLmYpacbtq6K6N/wDQOMVAicEHoJCKd1P0twPH/wCz8uY/2q7D/wDiVy6oH+ji+qyy7OmOKORWeL7Stk6jofapyOK1/wCKwy0t0llCDI7cPjgk0RwkYTrjclno56P7q+yx3j6u6MJ2YjIqgbAfxVVvwkW6NK0u3o7XQ73+UbTfwqFKDBsxC19zaof0b9KCu0nvcikiYOGA1VTQrT7uBRZ9K0IHRBBafTKW37mUsCP+uXnGa6mT0XuV8Dz3GYIzZkKaqGqGBKHijNR8zlbzRp2kaMRD0hswOMrr7j3VdXgQooLoZv73JX6FQzptiYXgATGOQvSlDUoQRTkdRbp/iDobtAaYXpmJe6lowcNINu+q6nYF3H9ZX+Q9omJR4BEr+Yt52kvP+jhNwrzK64Tf1XnZyXjm0AwmkxVxiR8XWoY1+dvq4crDZXSHJeK+dozzXTbP9Jry3/MXh2lWBo8C0UYmJxBaqoqTgBJNTQHrbzomhQW/pQxIunPZ2V2Q47yC95nKUtvYXWT3G4bWQyRuYpnpXQMTGKDEhycKHHEvdnlbzGxdK0A2XCbRwrkcJyx4LpLIWktmDInp+6470j2JNd5E+lkPFFGqRsuW8VScCDmDmcVdF65V9XRdJhxmnwaEmZ1HE/GZ3rkiQXMM4lQLteQ+Ur2Uu9maeVgFj9Y7EZV0RQOdWoAvRaW6YxsMDGXmg6/upwfO8xH3Cp6KbyhqTyKd2KrBDrjIOeI8xizdtWY0HcACPI01/I5d4DAV24uteY3YDv3zXV3SAXfjmbHeAw0zImkGSoOyZFWgA0jGeRai+e93i+Vgk3/iM9R991exoDL6n/kfj23pM+G8MA3/AMaEgEJU72Rq0ji5uTmK60LOSC1umsIU9bs8AMTl+wFygZPMj6R7nId68UdtnaTRgRotZpCMKrQgHILQDtBSMjozLWgRIwYwIIf5nekX968ch/cXJojyKC83d9z2AJO95W6gxxkSXl8pJRxBSfYjPttXU6E9aW6gwxjadRguGes5alO0IPlbV5vOWoZlUXa4BMUkxBIPFi4lVjnRv2sh9wGnvHWzuil0ms7+Br4INhBs3Pv7vzOriqL7O8jB1j4SMi6hmYVObMR+VAKUGlmY1rBInhTvmkiOc8zA41QRjZAHGh0ZTz6E8j3G1Ztd5VKTm+ZXwSVNUADHtIey/gOvd8LI4SvuzxHf7p2mfpvywPf7L0r0KhhfZU6uxSJmlDk6oCFrnzp4W8DT3RG6awtE3ACWupXo6OGGAQaCu5c1dLhcIGUz35J40YMiRxtiqDWhOYVTzFfC3oPi6VFBEOEWk3kkdzyXM1sFnqfMYJ5srbCz376beJY4REsiLCXqcJGTAAaEMSW55UtxxtHMLRvAhNLpkGcscl0MiW4viOMpTpqzS30xjgvM5eG8QsJcAFHzVlWmJhTIUFCeh6gVvoJiQYQa9hEp4YTu76qccMiONkivPvuiePe7v/VjXNr3dxLgKM2I4cZYsamnM15dbcYhxf8AWCOIbrM565SkrFzfBLC4T6rzvZd7aGZcLLijkrG4NVxA0OfNHGVe8G3vRoYiQzMUIqMZfIXnQ3FrpTuNO8ivRPTnbEZu8aouF76gxVFGCKrMob8bgfvW8H+H6O4RXFxmIZ3T/Ycl6OkRAWgC9w791x/9HkkIvEqzuqJJA6VYgVLNHQL1PMDut6v8TETwmmGJkOB9iuLQy22bWIRmw9i/Rbyk4v8AdREjVMiyjEyDVd3qS2lM7S0jSfHgmGYTrRwIuOc9SeFC8N4dbEhr6LorhtWF9otfnngjhMO7jDyAO2anEUOajta56ZW4IkCI3RBAa0l1qZkKbJ8F0te0xvEJAEqKjbO3Vuu0RelkjkglURuiOC4pq2HuKjPy1NngaKY+i+CQQ4GYJFNk+81o0bw4ofhKSs2vsXZl9f6Qt8WNnpiCugxHIZo3ErHIUpn0rZYGk6bozfCMOYF1DzFJIRIMCMbQdf3clI2ldY5rpBdzhu8N6BeVyBjYDidiaZAEAafCluowY74cR8T1ubQDAYAKduG0ta24OvVe1vRpGkVrpfLusScdTMEaLGxbFTWlGUA86CzQdMcGERobi40umDIS+ZoRIAJFhwkNd0zNS9O9rpfXihhcMkAZpZyKLU4QTXmMuXaJAFbD+HaO7Rmue8SLrm498sVtJeIxDWmgvKU3qKNYYVKtu2ONYx9ZOx4UxUzA51GgcKtSCbdTS4vcZ1uJwbn3qmaSSRA0Ma2VL5YnLvXIJncLmI2314IN4JwRKoGGIjURjs4o1zLZrGadpshGI8uFiH6bzr2414u1BNDbW06+4av29lWqb2kpO6jYMkHVY1zmkFa0Z86yNmBWtSVBxNjy3m923AbsAPYTRkD5rhcNmJ35/SIhoAJVjCgLhu0OmBDmzu3stIKFnrVUIzq6EIZk2SZ18xzOQ1DAXE7CiBiBsGQzO3E5bQlN7qjPHG2O8NneLweERjTAp9gUyPPLCBqLdLZOAc4Sb+Lb56znq4nNTMwS1lXYuy1auxqQtwhUD1eKhJXeAeskI1WAewvVzpUV900iOJPm4YDW7M5D90sNoA8vHE6hkMz+yovl5QEVCMVFEjXOKP8A/Y3U6E6ltLOxjjmJ3nE/A7oke9oyOQwHye6oW8QysQ8lasKguQCRyoCch05dLUa5go32UnteTN2OaohmZTVTrqNQfEHI2YtDr0rXFtyu3av2eBvdJyP3GOngfjZZubfUZ/P0mk111Dl8fa9K9GYpjse8AqwkO9w1UgmgWhpSp0+Vvn9LdD/17CDSnVenAD/9OZ31XnE13qSApSQdqPSven54fhb32vkJzmM/nvavNLJmgkcvjvYo3aetFLYSvYf3e5vsn5eFbZzcQNo7xWY7Cew94LL1FTjAwkGjL7jd32TqD5WLHYHdrHd6z2yqKZ6j3ci1cSqXOtAsv+CQeByb/W0iLBlw6j4VQfEE+PQ/K7CT+jaKNVllvgEQo0hK0BGpwNi56edvKH8Ze8ljIfmwrzoug6A1vmc6mK5r0m2wLzeDeUBCxlVVeiKeE05VNajliFvQ0TRzAheE68zJOs3rnjRREfbGHJKYlwzgdJAP4rdJM4c9XRSAlElr6oVhmfG1RcpG9HXaMSCMH2WKt93N/wBHtFxsk6x73fCsxtsDUfa/5ULzKXjDnXeP/HRh8wbFjbLpah7UQe602es+9VkPq03ntuCE7hoz+eaj8R5C2d53WcBf8dSs3yNtYm7Zn0CtjubSRxIvMysSdFFUWrHkOH9BZTEDXOJ1dSnEMua0DX0CK2h613VPVwo1HduZXhFRzNBRUHj1Npw/I0F1XG4e/wC5/ZUi+dxDaNF59v2H2UdcNnh3SLdnCKNuT7I5y3ttFyzCZchlXilEiyaXzrn0YOvYdrAXBsqZdXfHZLvd6SGU4azXuU4eYw4jRUWlDEoBpQUcjI7sZGbGF7K0YO56z7bcM5wD6Vce5auexWz4UJN448MdAoIAWNDRywBopkfhWNaZDCcIrZWzcP06V9zdL/EVJO0TVHSb6svbH/qNBqosud0ZqzXrhQjHLVcgqjFHAoyogyZgKewvasHvAkyFU3DbcXHXgN5uQawnzxKDHoB14Ie+bWJUTSsUxfUxChelc5XGmInsk0UZkDIWeHAANhlf6jh/iNWeJuJvQdEpadQYDHb8ToMAlEKh1DzequwJKxrWspHu83PWQ5CuVLdJJabLKuxOXxqCkAHC0+jMBn86yqb3tF5m3cSlQ3CEXUjkuWi/ZGWpNTU2dkJsMWnnf3z/AGSPiuiGywd94IhLvFdiMdJZ+UaUYKeXUFvI05A62QvfFHlo3M4/Xc8E4YyCfNV2Qw++5YobaEj4/WOitTNRViuuTGhJbrUk559BSGGy8oJHd11NynELp+YgHK/jfXelpFrLnWjYrJ9D6XXzR7zMR1D0YeHI+B+VuJ2gaPeGDgululRLiShb9epJDvJpGlBI9b7SkaV6aaHyNqw2NYLLBLVh32UrnE1cZjPLv9lVNHjpWmM9lx2ZP8m/2c9WabOzLEfSBFrbngftZdpieBhxDho2WIc0bofdPI+Vs9sqi7uvysx0/Kb+6fCgjGFwy1KnTvGhB7xoR1AsSBEbI3oAmG6YuRG1hiUOCSooCtTQVHAwHIEZdxFLJBoZHvMKkYTFod5FL4JcJrryI5EHUHxtZzbQkoNdZM0XfABIjg1VgjA+FAa99VztNlWFpwmqPo8OFxkhLxk7D7TfmbUb6QpuFSmOy7uxSYDnHSmVa66ajhDD8VpxqFp1z3dyTwXAhwneJDb2CFVsyFXSQM1FXBIx7hVTTvOIAd5FtFcWuErzMd8EYYBaZ4SKxX3smSLQ64iRhVe8ZIqj/Zs82w29zJ+SpWIkV18j7AfAT6G4cd3jVjuVAcH2piGaTwChaGpyXFnUm3DEfZtk+q7UAQBx57F6EIB4ZI+X3JBPL22q+73ZcmeRYloWQgVNPaN2Q8TE852FT7INLJNzvK1pJx/9j/xG9K57W1cQB3dr1nciZJWEDCJfosbkBXNWkfm7ALUk6DEx9o8SjhsW6OXRRa8xF+QyBwGzVcb1N2lMbDJ9IN06E5yxP3eluyruyiQRRtEOwZnpiAOcjl+ygVNAupYZtS1NJm0gRam+WGoAYzPYR0VzYjS6FddPmTlIJhdbqGYqqLIao1GJWMEgC7xUNC2FTjNeRPCTSnM95AmTK/b/AHHfcOa6WtBNBPbdqGuV/RW3y9ZmMetWEK0skhpiduLCcRoKnMk9kKABVFssNhAtGhdcBl3dma3Eol06Csrye+d24Lm42jLSXiZt6a1ZyKKWOiRqe2aczRVA0OVe42gBDYJZDGWZy5k4rlFmZe8z14bBnyGSra7TXlzLKwjWlatUBVHuL7o65AnmSbNbZBbYYJnrr193IeG+M608yGvLUMu71KBq1S6gomjzt22ryyFVryjXM868g4S80WpwGHes0GCLTPywaDF2J7yFURdrmqDIlAci2W8c+6CK4fuJib3qWR0QuNa8hr17TIZKjIYaKU14nVq2CZzQl/KKwVVRABTCSKjM9qgah7ixP5CkO0RMknvdyClEsgyAA738yhY76pUJKgZRkCuTDw5G1DDIM2GXJSEQESePla+g4s4W3n2NHH4fa/DWx8SXrEteHH5W8K16DPVjw+EGRyOvS1VFTilKmqmn5HuI0Isrmh1Cma4tqEVCwaoUDPWInJv7s8j3fnpabgRfx+VQEG7h8KUsYcZnMZYjkR0WXp3N/sAEtPTqPhEgOHfA/KkhxhkfJh2vEe14jRuoz5WB8pBbd3T410WHmmHX91+eK3cJSpMbDMVBBzqpzYd9O0PPrbRGgi0Oz3RGG4tNk9juqGvt2wGo7NSPAjkfzB5jO1Ib7QrepxGWTS5XXfji3ZyIbhPQtoD3EgjxIsjvK+1qruTt8zLJzpv+Vu8SlZWyBXtYSMjUYvI99qwneUd3LmjsBJIvOO1YHMSrIpJ9aHU8yFGh78yCPGwcJvlq5p2EGHUY1GwfdEwvUCxB4Uz3qySDwWrRj4q1oudaIdlLib+EwrQhJpacZ8G3HfIngtXHZtaxeyCDMQaYmGe7DclQZs3I8icIM4kWXm4bM9pw/dWZCpZ46zlsGP7LrpIAhIAUyLCgYEYY0yC0lrUZVOGEVoQS2JiAOVjLYa51xNJXm+7HCpvykKpYkewXNYRMDcJyvwAE7pyxqaJFiqWdW3jV9ZeJMIRSOmI4AdKFy75ZKtLdxkAGOoMGNv3y/bMria0u87an+p3THgBqCvv0I4Q/rGUULyhnBY5thU0MpzpwgAUAIskN852aDJtTLb6Quh8KwQX4YuNgE7BNzt6b/RxhCyAsgVVJkUJHwsOyi07bMFHKiaEawaZktFJyMhV1cybpCu+9M/yjxAQZTqTJshWgF4J1IMSmKMyOd9MGaJAey00hAcpnmv8AZ5AZJL1tAstPsDyi85yGevHG9q7fEFm3O0cMpnuWGKQ7Tu8kzhC6pFGGYswpiOskuAZkE5AnUYc6nPshPbDFoCZPYE+e/BQiMfEMiZAdkyVCTiVgl3TAkY7bjEVB1IUZY2PixNAKAZMW2BOIZk4Ck9+Q3AIB1syhiQGJ+MzvKnebv2RJjCMarCpxTSke1IdBpqa4RUAamwa+8tlPE3NGod1xTOZdanLAXuOs90wRE94CKC+CNacEaVI78wQZeVaEJ1J0sjWFx8sycSe6e51BO54a3zSAwA7r7DWULIZXNBWIEaUrKw8BTAvdwL42oLDdfL7PEqZtu1c/ocAl15jiUhVw6Z1YseepQYR4CvibWaXkTPKXOq53hjTIc58qIK1lFYLZZHJtDEMMy7we97Q89T8bRMKVWGXJWEWdHifNY9xUjFG4I6NlTxOg86WwikGTh33tWMMETae+85IOSMqaMCD0Nqgg1CkQQZFERXr3iQdA9Knwce0vztMsy4fGRVA/Pj85ord4yADhlGa55H7rcx05jTMaTnZEzUY/apK0ZChw+u/rTqXGJRhkjOa8xTlTyy816WINkyNx7/fjmgRaExeO/wBuGSk7ArvAKrSjr3DTwKk5HoV77Zok6yb8O9fys8+W03f3q+FNIsJpixxOKEHLDpQ92FqAkacxQitXOmJj8Td3qXK1svKaWhR2f3O8HXJb2hAWCycxWN/OuAnoc8J7wOosrAGPs4Go+E7nF8K0fU2jt2O/ohYI8cGHnvCR5qtR8BX8NmaJxJauqER1iHa19KfG9dLFAHvEbjMxncqPtZp8FVWkPh324YkT9FwOJJ3GvOm9d8KFZjAi4AN3inKu5OkuQgjVASGyFRmwrxcI5yN28Wig4qiiFIM/UNt93tv/ALRdruH5IRXkfpw7+/8AuN+q84A62qlVZaDCCoCeyKYs34lxk5doqh5YhqWxS4ts5HbXAXyGoAnOtUogBocXyvGwSF5rU0vNMjKiVXdA0i54sFSThDlQuZAxBUiBApRIz942q5jmtrITzMvarjvO5aHFa93lm7YJ+9w3cVK5TF5C2KMNUDORpWLvklaAYRXOgpkp8bUiOY1lmp4tEsaU6pIcOI6JbkG66OdPWfN0TG63dHaoLM1UKmrDKMEQhiWauRaU5UIIJtmuIoAG8cJA5CpIaNa5YoBbNxc6k6yFDM5ToAXZpft6+PxbsBFFYoiaLnX1rhm4ueAU1JdtbRbDaIhtGdST0EhTXqEgu9j3+C0tFmgA4Vqa6kj+jItbuWLPXHeGBoow8mciuFeYpUseoFr23H9SUhc3PcMzy3oWGj9Ocze7Ljq2VKKgRicMaYEoCsWYGn1l4NcRr7MdcwOlSZuIFXGZz6Nw2nrdZoJo0SGXV3QdL8XnujiLVxzvnXlwj2gNKZIOZORGP924Dv7OpbOzvJ7+hjNaguusgz6zyNhB8JDnTujFftWzn/if+kfHzwQDPyH/AFEy9/8Ax4rUpiUHGTJXOh9TET936yTxINiLbvTT/uPwFjYb6q/9o+Sld+2kWYUYAAUASPCo10BPfrlbohwZCvuZrmiRiTQ8AlzoRmQRXSoIr4WuCDcucgi9RsUFlsspI5BqCQeosCAaFEEioRaXwEUYD4VXzX2fFaeFpGGRUffH5VREnQ/XD4WpboNVNK6VNVPcH5HuahsRENx73fCBhi8d7/lVI+HgcGnTQqeq9D8jZiJ+ZqUGXlcmEEhLLiYY9EkzpIPck5huh1HfkbQcJAyFMRlrGpdDTMiZrgc9RRTXbA2MCsb/AFi07NcsRHu5506nusom8WcRd33zQcRD8xuPf1ywQU6mF6NXA2YI1BGVRyqOY0IPQi1mutgOb6h3wPeKi5gbOG8Tae57R3gmUEoqSaUKgTAaFT2ZU7gdeYqbSf5gLNJXbcR8J2AscbVZiR1jA9DrriZD3e5lZjH7s0LjvBLA/MgWq59Q8ZH5Ug2cNzDgQOnwu19B7gAjysKjG0g7y5yy+6qn8RFvH014thk6SAOwfuV6cIGxalUk+/7BFX2VQ3NmY00JpU6ADvzJ5nPkAFYHRBaNAOnd2SV5ZB8sxPX3771zO3dsqCoIbPE1AgNK0X2iAuan2benChOEw0XSF8sJ4X34krhc5pAcXXkm4E3yxuuwASg7XAiZisjB23YDSKMhRnphjFPYH4jZ7DrYAIEq0G4Y7UxDbBc6ZnSpJ1nonOx5FRATHSgxsMTsRUaZnM4WRadZx0tJznOcfMTlWWNMM/ZqZ0NjGABrRPMTwmccG+5CfwzMqVqAzVFcsgp9aykDMVIRfuqcw1nhQGRIgvIGBrqHVx26lwaVpMSFCNwJnItpW+4apNF85FcK15aWT6ThrI5KXZNaU9s15JUmvN6n2TYuDQCwXXu34b+VMV3ww6QN5ubux7xR2ztnALQGq5MWIrjbkxXVh7ic+0dQDCJFJNb8shl/5HC4LrhQgBqzzOev+0Y3lM2uOXFRUGZUmpJ5mUiuNvs6da5U5xFrSpz+Mu7l0GFStB3fme64KL7tiFDw+sbqQCBTSgzUU5E4yO63SyBEdfTvjyXLE0iG26vfD/ck172vLIa1p31JP7xzHgKC3UyAxol3w+VyP0h7jPvj8SQBNTU5nqbXUb1JUJ0B+FhMLAFERXoAACSRPOq/Cop87TLJ1kCqB8qAkK0O7abqX8K1+HC1lk0ZjveE03HI97iqZGStGiZD9liPkwP52cB2Dp96khLcWy71qO7jOjkfeX9VJ/Kxm4YcD8oSbnxHwt/RCeyVb7rCvwNDYeIMZhbwzhIqHHGfaU94pXxByNm8r9aHmZqRCXlGGF1p3jQeHNfKo7rTLHCrT317qqB7TRw76d0Vgu5jGKglhPap8iadk9//AKsA8OMrnLOYWiYqE5ukuhWrqdVJzYdUI/tF5jLEM8zQ2jEZWlDyPwcDgqQolJPk5p9xswcMRit3yBaCN+KNuzIPZP2/dNM8WhBNR0IdaNoUdiM++9a2fDFkmbL2nIZbt+F85Cy47MdaCPCyiuEhiGqcjUMMDA8xXnZYkZv5UPe9K2E51Wmffc0fFs3jVhXhIVlNarmCAQc8mUUPTzJmYvkkTrGvP2rxTsYS61K+hnn+J4yE9mtOr1tEXe7RxR8lpXqRQUPSmmY/K3JB0fxXmI/Og7wXRpOleELEMVlfls18lzAvbPLU1NKkGpUHkOtcyBQi3olrrIE75Bec2wHE2Z3nE81K90vGOIYwyAmJ1NSd2Ksuik4hXLMVpmK0Kte+H55334X/AAi5kIOsgXUwKXQwCSVYxKWSEAMCDxHFxZ5jidsI7qdLOYz2MLiKm7h0FV0jRoT3houbfSWOrM0XU7OuRkNSaqCGJAIzyKkDTES5YDq0XuWh4lkSs1Ozug7qpxWWnEh9BnM7ddSM8MZSUNt3paPxUThiCIM2zoI4vLn1NeSi3Sy3BZRtTiTdmTy9s1xhrNKjVdMNNQBfkAaXmt2Z1IS5bOBLOy1LALyoFGkcYHsU1zo1DUkVLee+KQABh3M6+W276CFBBqR3kNXPZfm19vRwEqOOTPgU0C195uvXn4aW0HRnxa3DP4RjaUyFQVOQw2lcbtDacsx42y5KMlHlb1IcFkP0heTEjPieo7sEJaqkrbvdmepAyGrE0UeJOXlrZXPDb07WF1ytDRpoN43VgQg8F1bzoO42WTnX0Hv9JpsbdU+333RVS3h2NWYn9O4AZAdwswY0XBKXudUlbS+SDIO1ByqafA2HhtOCwiPGKl9OfmVPiiH81sPCbhzKPiux5BXLtR6UwxkdCuXwBpZTAbmUwjuukFE3qM9qBfwMy/LMfKxsPFzuIBWtsN7eBIWwt3bnIv3iCPkpsJxRke9q0oRzHexWJdz/AGcjEdwDD90NX5WUvH5AcunVEMP4nr16KDKpNG3ZPnG3zFPlZpnCfNCQxly+ldd4WQ1Ule/JT4Y80fwawttdR4ns+L0PDe02obpHXd8d3JndQhNKBHOqdnF0wgnhYajCfDLKyvaQ2YMxnlqOY71rMiC3Zc2ycRgdYyPP2TLZ92ZyUByYMFanZbPkezzOEjhIcDJhbkfEDam8cuu3GhwK6vDDm0u9vrOWcxiFz10Esku6i7dSGYk0FO1r2QOhr3W7Yj2sZaddguOFBMR8gJHHLai7xfEjakcrysMmkbQ0rkgNTh8+WWtkhtc4TcANXzrV4xZ6QS7XdwQ8+13djjqa5E1p3crM2CGjyoOeH0koCHCQ61B6gk1+Ovh4Z2YOnQpIkKxI4Jj6Kx7l2vFcgMKgHIl8qnoQMQoeZ6WnpEogDOO5QeC0VR/ovsY0wgZk1YnpoB4BSQfvOOhtKK62+ZuHfe5dfiCFCpe7v2u2zXQ3+YKBFGaDOrDU++VPXMgvoKkCrE2tBhEed/e3uuxeTGj2vIzZS/dr5Y5oCPZwxGRqAAUHIKo1AroDqzHXnkMJ4NI0sxDId/fL3X0Og/w9ujsrfj2cOeOIXP7e9J61iu5oNDKMie5OYH2tTa+j6H+UXh8/CXSdN/CFx+Fygt6K8xXw3VmGIUC+8xovxOvgK2RzwKY5J2sJrhmpho00G8PU1Cfu6t508LCT3auf0jNjdfLvgqp52ftGtNBoB4AZDyszWhtyVzy69V2ZKstkUQt1FATLEK8ixr5gKbTt6in8P+4LPo6c5l8lkP8AhFtad/Ty+VrDf6h7/C0Y4/2hPhH/AJsLGb8vf6QkzP2+1uNYjlWUnoFX/wAjYEv1cT8IgMzPD7RAuY13UtOrMqD5rZPE/uG6Z6p/D/tO8gdFowxjUIPGUsf4FtrT8J8PlayzGXH4V8d8QZE4h0Ikb4BjZDDcewOSbxWjHmeaJiluoJ1jJ6MyH5Yh8QLMWRTkdtfhTEWEM9on9pgiQsKb1GXo4AH7wy+VpFkVtQ0jYZ98VQRoL/KXA6nAtPH6CL3hgieVHDCgAbEGILEKpxDWhIpWhy1OQtzkCK8McJd67vcLoAsNL2mfDpf7HaufmG5gAGbOQ0hz4hXJSdaU18TbrafEiE5UHyoOAZDA3n4QLqAwKmq8zlkdcvDL52u05pI0NsxYM/lNLvsgyLiQ6Dy7v8v3edbRiRgwyK6tA0J2kzDDUdyQaFg6qTzIYdKVrXyrakgRNc8W03yngmlwjxOY9MTjyyYtTxApacnOoFOKWNb4jsOx7rtI3VVEaVUcyQan/T/ZspjQmCQw779lwDQ9JjRLT8e7r/baUDfdowwitGd+iAsTTSp0AHQ6chbje+LpFBQa6fZ7uXt6PosHRPO4Tdqr9Didpw47bW0rxeMmXdx+5iAHixJGI/Lut1wIUKFcZnP4yU9IjRY1CJDL5SkwKO1IPBAW+eQ+dum0TcONFy2Wi88KqX0hV7CCvvPRj5CmEfA2Fkn1HhT7RttHpHGv0qZZWY1YknvP5dLOGhtyUuLryoWKVZbLLLZZZbIo6G8QgDEhY05KB88Zr40FoOZEJoe+Cs10MCo74rbXyLldl/E7n5AixEN+L/YLGJDwZ7n6WLtIDSCEfhJ+bE2Bgz/I8VhGl+I4LTbVY6ing8ij4BqWIgDsD4W8c9k/KpN4QnOIE/ff/OzWXD8vYJLbT+PuUbHchSrwFB3tJU+CgE/kLSMTAOnw5qzYc72y3nkirnclriW7SYc+KVyq99FCknyrZTEddbE9Qn7zkj4TJTLDLWegEz7ptdbkhIKxSoDoAqrXvUBN4R3kjvpaTnjEjjPmQ0e6Ia/8QeEuEgXHcBtTm53LoWHLs/IsWYE9wNe60X1y73A7yJa03iBt8+PySNwM9Sr9K7iv0Z1ZgGyYGmeRFehzrZNEcfFmK993J4/ok4S58MN8lyN+fEoB90V+AB+Bobd8MSO9QiGY3Jfc4s6Hrpa7jSinDEjVer+gnogXUOSKE5oQSrA5UYfr+eluPSRabZF+q8K8OJYFttDOg+eiQf0g3OKCXDDHuwqhS1MRNO8n5ix0SG9rf1XTJK2kxnx5EgTG4y4VlnNc7dnZQXjJxAHOgNK8xX/3arpTk64pTUUFZaksvd9mk1kZhzAY/Nf9LVa1guEu81zkvOM+8kALUSLVLZZbtlllssstlllssstlllssstkVesqAfV1PUufyAFksuz9k1puXut/SV5RJ54z+bWFg/wBR9vhG2P6R7/Ksgd3NEjQnujU08SQaedg4NbVxPFFpc6jQOCu32DtyivuxKlfN6BR5YrJZtXN4z5X8k9qz6nbhLndzU4r/ADPUREoo7TYzl96Qnh8qWBhQ21fXd0TNixHUZTf1WoJmrRGaV9S7scCjmaMcx9psu62c0Sm4SGQv72cVmuM5NMzmbh3r4Jhs7MMxdmOm9YYqkcoY27VK1xGlKA0FgGzNgDcObj0HukivsARCaYuPJoz1n2TrZWz2d8ADFmAOB8Vfv3p9WOdQmgqMgbTNhrfEJoMZY5MF2/8AcI6M9zvDA8xwncM3m/d+x6u9UuqBEDSTEUL4a0HOg0VR7o7reaGu0hxc+jBWWZuqcSTSZ1yuXXDIggWavNJ5C8yGAArIap3rg9rb3BxthaclmLsqthrRU1JpUGoAzotvWhthNdIXNAuzvJ91wuMSJJ8ryb+AvlklV5kqeHPAxXLnTI/HXysWDPFdDziMEbs+NcRxLSgqGwlqU0qvLOyxHECi6dD0ZkZxMQkNAvFeK9D9C/SeUJgRHdtQFWvdWnLL5EWnG0iHBE3SCpov8O8UOfaAYDeaTXI/0gTzCX1lUcns1zzoc6HvFn0XSGxhbYaKenaLDhAAODgflKNmEOGDk1ZThprwgsSvfRWp1Ip1tV81573AEBqX7TupAx8xTERocVcLDuNPmLMx1ZI3iY77NEBjB7Qz94fqOdnkRchMG9aeIjPUdRp/pYgzQIkoWKCy2WWWyyy2WWWyyy2WWWyKKW5GgZ2WMEVGI1JB6ItW+NBaXiC5on3mqCEb3GXeSwSxL2ULnrJkPJFOfm3lbSe68y2fP0taY24T2/A+VreSzHAKt0RRRR+EUUeNjJkOp4rTfE8o4KYijQ0Y7xvcQ8I+8418F+NhNzrqDM/HzwRssbfU5D5+OKJFylkAaUiGIaYqIPCNCRU9/wATafiMaZM8x48SqeG94m/yt4cArpI4lQM70hrlHGDilI5s7Yagc20Gi52UF5dIDzZnDdXu9OQwNmT5chjtNPjJMbjh3gIQtOyjdoxGGMGmEYVHCTqBXIVJzNsxhcDN0mi8578s87rlHSogZZIbNxuGW7PLK+9egbMgW7xGgBbVytTiYcgTUkA5Z6mp528+K50YgkyFzZ4DE8K8MkIbRDmGtmb3SxNwFczS/PNcbtqYvixz5yNulCVbMkY6CoAzquuSsOluuExgsgN1nClwv3nbVO97xbM7vKK3n1OunfQCt1MFGVYpVMkaYjd6xhnOQYGgJUUGEnjqSdG52wLp2T+Znuv9rlI2YbicGgAbbucygk2VNhBk58wAFFa0AFBQZV0zrztV8Vk/KhCnWfDH9u5KtPR6VEMhI3NaAq2dSaUoaUzp3eNldpDC4NHqXRDa4AmoA6ro9h7baCMvEAqAqSSWY0qAMYWmMHQA9fhwx9FbGfZfW/IVlhlJdL3tMIGdARSc5AmuF5XLbRv63hzLXE1cyy9fjr59LelCh+G0NwXn6Q9piEtJlhh7TPNZsc4ZUdqCsiD2iTU0oa0oKsMsvC1HCbZLmccsFO6JiXA3Z9bAT3AgofLOn3RaLiQ20NThyK7IcvElnMHhMclzZFDQ6jI+Vuu9QuUkcjQ/77xzsCJogyU+Fvsn+E/5flYVCNCq3Qg0IobEGaBEr1qxQWWyyy2WU4YmY4VBYnkP9/Owc4NEyma0uMgrJYFU0LgnnhFQO6uh8srKHE1kmLQKTWXW4ySGkcbN4DLzOgtnxGM9RksyE958omikucKfXShj+zi4j4M/ZHgCfG0zEe70N3mnteqCHDZ63bhX3uU3vyt6uOIkHRMwD4qubn7zGwEMjzOdv+zduARMUHysbu/ap3kqRve61Kl/2cdFRf7xloXP2QSOp5WFi3ddmandO7uibxPDvvyFBvlf3Vbjukj+umUuSOFCaCnIuchGnQZE8qDOwL2t8jDLX8Znks2G53neJ5D5yCmqKhF4vDiQmojRBUVXnnRcC6UFRXLkbAku/ThiWZPc5nWjIN/UiGeQHcpDUun9EIVRGvTIQz1KsTjegrifOgq1cK0GrDUNbni2nu8KdBKYuE8BsxNbhqU4ha0B8vMZyN5lSZ23AUvKP9Jb+UQrxM0YBwroXJKoFGehBIy7KLZoUMPNBfQbL3HfjrcVEPLBNxAl5jtNGjCgvH+IKStcWjlHCoW7x8OW8kaRgFBCA++RmQK7s52o6KHg2fyPBo+R7lO2G5krU/LXIFxM9U5bZSai7jd92FRC2McTszVZS9KAleFOGhwrU8RzGZtMuMQlzq4DdfSef9RApcVSwxjAwDWZZm7zSnOX9ALq3hGrdnlJJYth5k1pnmFA4QamhpXvZtBnNDBQd692EhqGJixwtzw54UFccSTtnMBT6T3ghluytw1qaaLjGI59yCn4ms0ICRfLZ3rKew4kAm+/aPhLkvDKZSCKI0asnUGqMPCpWnfTpajQJNn3jPvBZ9SZd4SQ972cgbFGzZ1oMgG5EVIIBrkVYa9aitg6XqFNWH1kQoAF8mtInhPHZr1JUL0d4jEUCOCFzyoQTrzy+VqiRSltlpGKcScL3ha9iRX8sbsf4G+VuYj9NuyXt8hdDCPFdtJG6Q5FJ9qpSVu+jfvAE/Mm1IJmwLRhJ5QtqqSy2WViS8iKjp08DyspGSYHArGiyqpqOfUeI/W2BwK0sQoIpJAAJJ0AzJ8BYkyqUACaBFG6qn1rZ/s0oW/EeyvzPdadsu9A3m77VLAb6zuF/wBKE17JGFQET3V5/fOreeXcLFsMAzNT3dkg6ISJCg7vzQ4tRIiZ7/IyhCxwAABRkMuoGvnabYTWm0BVO6K9wsk0UrvcGIDNwKezkSz/AN2gzbxyHfYOigGQqeW09lFsEkTNBz2DHki2TD6tfVVywjjmfuYL2R9mqjxtMGfmNfZo486qxEvKKe7j3lRbkeGDJEDzDm9GCfh7JYdMwOp0sAHxakybqpPrLgsTDhUAm7XWXSfFUIxkrNeHdkB5k1dvdTkO88h3kWcgM8kMAHkMz0zSAl/niEkczkO6K7Zd0a9zgNkoALUyCoMgq9ByHmeRssV4gQ6X4bc+9izAYz69jJegbIALM7ZBAjCMaqqht0pTkaesoaZsi8hbjhUBDak451rXWZN2TKGmCrS4yFd2WyQmdsgqpJMcg1BX17x1xSVoBGpUA4BhC5VHaORzNnLbQs4ekG4f3GWOOqiDHCG21cbyAJmtAJmgvwmZahNCXW6oyYSgGNscmA0FKE0kdWrK1CWoCRxDQWe2WzLay8opyFwE5CZndigWNcWh9L3GuG+pMrRkAL7wrEupkehxVOe7BpQf9RtEX7C004qm3SyGIbJvMgO+ydwXnx9I8WJKECXHPXh9Cf8Akme1L9HcruxahYigAyzzAAHIDP4HpS3AXnS4km0a39576c8l3woH+kZNxm91Sb5SpLdWcv8AEYlcBGxZ5SxzYVr1MhEbeGdfjbqIkGy7lVXH5bOdEPdRjvE6E/Wb4eYJdfmtqGkMHKXfBRr4ksyRz6yV9wbGpiJ4mOROgkAAB8HWinrZnTbJ7exiOo4KYkSWOu7keNDqM8E09Ftj3e/zKJi8SqshnZSMt2pKk1B15n7JsWgAyF1/epY2iPNfdP5wnw+Hd59EsMKzSNhvDXlbvIh7GD193DZKWJZo2pStaDLOyOBLXAZzHPnNPDDWuYchZPLlJLtpegV5aRVxwq1EUMxkAfGryrQbvEvCrk4wtMNNaW0IFswnjEOkUuu/oDepFQxvA5cQsEV2xBZwSjsCgovCajtZaaVsoqc3oS0UMzzTIro123ajeDeLeMedGiBU8BADBSCj1AyrlkLtv0Skh3z44wiyypGjv6x1ikMRcUUJQMpFSVJwsQMrK57W3pmsLrk8j9AV+kIEnDxkQ41RxvEM0BlG8ODCqsVYCgbICtK2xmcFhIY17xQ0Po0SkmOeC7kXT6UqRsxJDbopviELKCJaUrmdBTOyCHKrq7fjspzEnRtNnz2EB6ZeiX0Ml45FeESLFTFWRGaNZKSAKAKgkile+htZSXMWyCy2RTK7z3eJQQrSyUHaACKegBriI6keFLc7mxXmU5D3XQ18JgnKZ9lgvE0xZsQRR23qQB0xNmzHotSegtrMOHISmcB9XBa1EiTM5DE/d5VLXpUGGGork0hyZu4e4vcMzzPKzhhcZv4YfZ7CQxA0Sh8cfoKF0uoIMkhKxKaEjVj7qcie/QDM8gS95Bstqe6nuqVjAfM6g7oO6Im8Rs5UyeqTSOICrUOgRNc/ealSa52m0hsw2pxOG89BcquaXSLqDAY7h1N66uO7pdoAACimjzGtZHAOEIpFDxMcGVBTeGtCLecXGNEnebhkNZ2CtZm7JddkQ2UoMcz3uF6Z3KOiMoqpYmR2BGN6E7ymlQZFWMDIUjBqa2rBqSbzQNGAJnLgKnGupcWm0sg0bUuOJAlMUzuywxUGjRsayAgu2ORCxOFTUrvSpoBhUkKDQhgKdagWQXAzA8rduobZCZ1qVsOLGSkT5nEUpLF15vJkAMKi9E3eDeKWSqA5ByCGC81iX2BQKAMsq1Ato0Vmj2GPwE5DEmkyeJ5KcGDE0rxIjPyMrRuAFSABflftIV8l5jgQrGAoHabv0zOpatB4kAZ6crjEjunE4YD5OXEyAXZDhw4IlBx/LE7P6W5kbpkgrzj0n2m087e4hKqPu5EnvNPyFvR0aHYhjM141Uo5BeZYU4URGz5BhxHMkxr8W/8AJCbKQbYG3vgVQkeE4nId8Qh4lwXwdN4fnUH9bO3zQd3RJE8sX/7D/cENdKs26U8dcK9ag0X86eDd1qiWOPNReDeLx7hO52muk16QFUeSF0kAKNhJAZwGUkVydag5HELRtSkTgZdPgq4Ze3AifX5CZbO9K9pTu26kEl4d7vRSqHFgQpTiyH1mfXGedqOAa8a+lflShkuadXUkdAjdnem4KSRywrJjjjZUUIivEiUEJAXgALOMS559wtEPsgE5yK6HNtEgZTHVczB6bXmOhjMaUWFBQVot3ruxmc6YiDWuIHO17JzULQyVDelc3rABd0WQJiRYIgAYiSjLlUMMTcWvEe6hsoWjgq9q+lE94RkmaNwzvJiMcZdTIxkcRvTEiljWgPM9TYgAIEkptePSHaMJxOEja7vGkh3USsXWN44hNTikwx4gOQ8bZZJ4/SSZZDJiQloFuzBkUq0aqqAFTlkEU11qtbZZT2h6STXhXSZlIeRZThUAh0QRA+GEUp52BBwRnmlUkZHnoRofCxBmgRJRsVkYl3RAGlNSQCIkIqa5jG3sA9M2z0GtpFznUZxPTPkqhjW1fwHXLmqrze2egNAo7KKKKvgP1NSeZszWBt3HFI+IXX3ZYIvZuy8amWQ4IQaYiaYj0U/maHuBOVpxY1k2G1cqwoFoW3UarnvZdgsCVKg4WIACKPcU5IOrscR6g2QMDROIfs689gonMQuMoY+hqy2mqa7FuKxUnas0pNU1zJqAUBzZmowDHIBXanCK80eIX/pijcfvIDEDUMTKsKGG+a93d2e/ajrpGCXZiGkjbHLKR6tJactcQgQGg0rQAHECJvMgAKA0AxI6WjfjjgnaAZk1IvOAPWS2bwB67GyLIDI7Nm7RR5Rqq+wPtcyU1JoGhlzDZABIoBhaN5OZ+0IsJsVs3EgGpOJAwGQPwmWyRLNGWmjEQdqpGtcRXvqarXIVFDhU6DQRY7WENhEeW9xzu9tWJxKgzRSZvjAkOoGiQpfWUr6X4AigVm09rKtEQ0UAgsuQomT4T7Kg5GTP3VqxqJwoZItuNTvOreRX3NKGkQmfhtHlE6XNzMzkDS73kRx0+2DNMtMooqyU0ruwWBI5CooF5V6k27/CsQzmacacczjskFJj5vGQqdcq8MhhrJJPPV6687da5U22WQYmHNXQ+VSx+Qb42iTKM094Kjha0d4x/dWyxn6Qp71b98AH+L87IwyYRkCOE1SL5ngjEtPEhdFdvSy7pd4lDOrRmEboRLRZI5xK94EtaktHVKUrxEaAWu0UCi4+Ypjsr0ph+lz3qWQhJ2Za7ty7IskmHC6sN2cJUFWBU0FdLTBALh3cmsuNnLDjj3dQ67dj+mF0SS7oS1FeBRDulAu+5RllKOPrDLJhbl35gCxcRZtb+9yLBIlu7veq9m+lV0iu9zDGRjd3jLB4iStbvOjqM6FTIwoABUAVJINjMEyz7+FpECeXfygvR70iggN5knoZJmik3hiLq64XqjIjJwtiGXZJUg0yssJ5Ik69GKwAzbcqf+KrtIm4kZkiF0uqKUhUkSwmBpQRUFsW5whix0HK1VJNNs+k93F1Z0krv/pxjhEa1xPeXeGR3rWMx9oDWumptllRefTG6yXqSZmklEl5hlUGKrRhYbynZJoxjklRgK0OG2NFhVFj0wu8RixMxrJELxI0Khp0WKRJHZM2GJii0OZCgmyteHXJnMLb1yfpDtqGa43SFWYzRBQyhGWNVVMJqGZqvWnElA2ZIqbMlXNRyUyOYOo/UdDbELArbRdMxyP+fSwmjLJQjQkhVBJOgAqT4CxJAEygASZBNWuCQANPR3IqsCn4GVhoPsjM9Rbn8R0Uyh0GfwPldJhNhCcSpy+fpVzs8tJZ3KpoigagcoU0AHXId5NmaGs8sMVx+z2UHWn+aIZDD6HYTDYtwM4LECO6oakE0Dlc/WPq1Bmx5DIAEi0I8XwqXvPtsHL3VITDEGTB3U49yTaC9FwrqcCOxWH35DkHlI0AUCijsoFGuAA85ZZMjUi/IZD5xO8qwdMTuBuzOvug3BSleJVEVDgUBzCK5JlhMlcy8rlTh1+qBoAQQA8m1jdPXq1NGO2SM2ikqZates/CM2RsxgS8wDXiVg2DVYwKFFPLhBBpovBzw1jGjCUmUaMc8zv4mutUhwyPVVx9suHtTUrL1tYuSYalENK1zmYUARDyjDULvzoQKipsGQA0SfefYZnXKgCJilzptuHvq2TqVxG19olyUDYhXifTGRpQco10VfPU5etBhWakbBl9nErzo0WflG85/WSGuuUcrcyEjH4jib5R087O+r2jaeFOqRlGOOwca9ELaqkmGzexIehjP89flW0IvqG/orwvS47OqYtJWRG5hQznlRVYGndiir42m4za7WeZ+0zGWS3+0ch9Ln2WhodRbqnNc8pIqSQiKIjk0o//ABn9bTAm927qqEyht39FPaCESsyGpqH7+IBwR1GdhDM2AHZ0RiiTyRt6q8n1rxjNZBiQHSrAOmR/d87J+AcbxfyPyqfmW4G7mPhQu04aMnCCYxoKiqN2h5HPuxWLm2X3380rXTZddyQ0oQUohIOYOP8A01FqC0cfZTNkYe6gJlGka+eJvzNPlY2TiULQwAWG9voGoOi0X+Wlt4bcuq3iOz6KmzpFlssstlllsinF3vojVUgUNKwFSoJoSM9c3buphXoxFRyuh2iXRDQd7h7nVcupsSyA2GPMe959hrvQrlYySxEspzNTiVTzxH+0bu7Pjagm8SFB7/Q99imbLKmrvb7PttReztltOd9Mz4CQBTN5CeysQOWdDnoADyBpOLGEPyMAn7DWe5p2QjE88S73OxOr3u93600u6U9XGT6z3I4zrgqCcZzcgvoFpystWvL6jicMydeq5t2a6HSs+a7ADHVs13m9ZFOYA88yhp2CoIgMowc44UXkaULD2VAHae2LREkxh8tTPPNx6ZnUEA4w5ucPNllq7u2ppse4GFS0gxzlt5Mxpws2YWumIAnPQAs2lA3NGi+IZNo25uzPZzoL5yvCZ4Ym6pvPxt5VKp2vflEUhL0BbDI4yPVo4h7x7Pd6wkkhqvBhEuAA2DqdWPDCSR75NLjj2ZcuOtc5ta+skQjIwySgMwGW7joRHEvTIljz4s9Tbugww59q8Cg1nE9Bs1Bc0V5YyzianUMAkNuxcaLmFIYx7zO/kKIPya0m1iHVIdfhVdSGBnM9PlCWqpI25PSNzyxRV8DvAflaTxNw2HorQzJh2jqmISq4q09S8ZP2jIE/xk2hORlrB9p9FcCk9RHvLqkr5gHmMj+n+XlbqFCuQ1Csf6lP7yT+WKyj1nYOqY+gbTyClfj9Uw5xL8ULJ/gtof5DWfevVGJ+J1D2p0VskwKRSGuJSVxDUFCGXu0b+Gyhvmc3C/jTomLvK12IpwqrMo5g6sMLcWE5cMmZHTKtPEWWr4dk39QjRkS0LjyKjNcirFKVQ5qajLodfI9RSxbEDhPFB0MtNnBWXD0emlDEYFwtGnExGchotCARSvWleVTZYmlQ2SnO4mmpBsB57zULnsSWRI3GELIXC1JrwAnQAk4sLBQASShFLM/SGMcWm8S9/ik53TQbCcQDmrv+Gp6K1Fo26w5nPfEheXskcXSo62T/AFcOZFaT9vnDNHwHSns90LtDZMkK4nw/WNHliOa9ThoARmKmpBBpS1IcdsQyGU++uuiV8MtEygbWU1lsiiWvdFwRjCCONq8TdQTyX7I862mGTM3VyyH2nMSTZNpnmfpMNnbMAOKWlVoShFcOLsh1HadvZiGvtUANoxYxNGcfjUMTwVocINq+/L515Dins8hV93kZsJqpzWBMgd5TtO2QIGpwoOHJuNrZi1+Pu46sgMMqm+o6XGRkfVlkNevVuuodxGjBgKspYR46EKwAMkkh5sooXIyWixrX2SaiWGMvYDbhnVx16dkzx5feeVw1GwXfdATsCXBIiBGJgznicj2pnbl1ovZViIOd4n6Yux2DD/Ecq3kJ2t8Pzm/DvM/WBQ+077IuG7RU38hqTWoTmWZudBU4jqcT+5akKG0ziv8ASPfVvywo3NLEc6YhN9R79vk5JRDIkrr/APbQcMYI7bAFmd+uQLt3YV9q3SQ5jT/W6/UMhyG84KTbL3D+lt3OfMngkN+vRlkeRtWYn/IeQoPK3ZDYGNDRguOI8veXHFDk2dIjNpijKnuIi+dMTfxMbShVBdmT3wVY1CG5AfPNCWqpImH6qXxi/wAdpu9bd/RVb/Ldu6o6WQm6VHORanpQZ/xKD52kAPGlqVST4E9fRASsA2L2XFaeOvwYH4Ws26WSgTWeanMlIVH/AFHoetVjsoM3nYOZTOEoY2nkEXc4o3iQvQlRIFUuIwxxRmhc5CiyM3fhtm0e7d8dFnVht3jkeqbXf0dieGYpeQY1dGDELQUyPFioeBxXTMAUFRYmjgdyDatLd6rl2JAYwBelYxOULDdiqlDICtZOIYyUGYzqPDCjzr7+ETVg1deyrv6khkj3a3lJHDRxoVw5YmjUHDixNVWIH3FqQbL6HTz7++Kb1tll39cFCfZSQrg+mASoVdFAAIZGULiFSWorsy4cyDlXSxcxtSRhI7+6pWuNAFfc7s0zqI7+cwrYaIcNI8TcAYUIZmHZHQnFlZf9PC/pW8V+a2iIoKPtFsVAAQygLj4TUFqkjAK5injqfAhf0hDxH5pNt0URR9MF4qQcIplhWlWOLEcjQVHvaGtmbCY0zaJIOe4iRKS2okWC2RTbZsKgYlahAGOXDUJi0SJfblOleVDSmbW5oriaEbBnrOQ71LphgATBrnlqGZ71ppJeGjdYYVreDUKuR3Fe0zNo05GbPogqPDmDA8F7/T/u/wDXIY86l9k2W+rDV/7clgwRhoY3PDxXicZsWJphj6uSSqjlxHWuFqvk9wv9I6nVnnslPUZNoNcT8a+SdXW6iMDHhRytSK8MKR5ha9EqCx1Z2HtEEcj4lu6o5k/OGQ1TBuxlmpv5AfHPWq75tgRKby65gYLvE2oqO0/RipDN7qsqjNjYsgWz4bTrceg1ToMyCcAg6NZHiHY0de7rkjZJEjIrivV7OFidVU0LDurUYugy9k265tc6f4M593ccVABzW/3Opu77ogr3OFiITsZxRnqBRpn/ABthHhlytVjSXzdfeeQG4T31SPcGs8t1w6nfTdRKLdS5FZdosbqnvMq/EgWV7rLSUzG2nALd7lxSO3vMx+JNswSaBqRe604nWqrMkRN3+ql/7f8AMf8AO03etu9Vb6HbkxhUfRxHzYbw/iZkX5qp87Qcf1bW72n8qwH6Vnf7y+ErGcf3T8m/1Hzt0XO2rmvbs6q5VrCBX+0YDp2VNPOy3RN3Up5Thjb0UAPUke7IP4lYf4LH/wCTd1+1v/j2HmPpNdkbAnJR8A3brnxr2XFNK60cEC3NG0qFItnUHLEftJVgwnTBwPI/uo3DYU1XVt2AVKtWRMmBUAZHtK5QEajGOtjE0llCJ8Dd8ET4LQ4LpkHGl/eMlG7bFmSXA27FW3RG8QYiaVC1OZUlfA0sX6RDcy0J3TuPvt5JWQ3NdI7L1O9+j0xIYbviBJ9YgBIbBUGtKMxFPGwZpUMCRnwOU/YXovgOnPvsqhNjSyBXoqEiQ8bqtRFUO1DpShr4E2c6QxhIvuuE77vpL4TnCfdFGH0enalAgJVGAZ1BIkOFKCvNsqdbZ2lQxniLsr0ogvPeaGvuzZIlDPhwlmUEMDUr2qU5DTxtRkZrzIJXQy0TKEtVIstkU+W+lFijio85VQgjGUWMDse9O3tP7Og7uLww4uc+jcZ4yz/tGAx59VuyAG1dqw+8yrlTcVu0DA3hgd/NXhiUZsqtyC6s/dlnSgn4n6j/AEj0jPXLkE38vyM9WJy7xTDZkaRIklDhFNwlON2fh3pXm70IjU5AAt7PFCK50Rxb/wBRwAH4zyH5cMaUhNDQHcBrz2nBWYCzEMRkS0jHNKx5nvaGCuf7SRu+oSchMbhjX/k7/tamkXGXHKnRvuUohk382+I9WjYIVfm2bFn60zlkPMkDnbqI8JljE1cRwp/taoA+I+1gKD75lD3u8kgyCpeb1cQPa3YNGb70jVFe+TrajGCdk3NqduWwDog906i80Gz7+UDtJxjwL2Yxux307R82LHwpasIUtG8173KMY1si4U+fdCWqpIvZZo+P3Ed/gpp/ERaUWrZZkD3VYNHTyBPsgwLVUlu2WRF3+rm+6h/jX/O03etu/kqs9Lt3NMC4E8iVyWPdj/tKtfmhPnaMpww7XPiftWJlELdUuA+kfdNhLIFKMVZyyviYEZ6UASqivMk8QUe1lUVaomjlYvoqd2yNKtRJlqKMwQAMCMiM6rqMutiPXPUsfRLWpx+jL7mQNIlWCsDRtEcLmKds4iAupOWdDYOEnA7UWmbS3Z7LRul5jRBv6F1SIIVrSPDIxUpQkkhAAB2i1DnZTo8M1ljPfmh4rxSepWX+4zyNVZkAkUHCEocUipMaig4i0Wbn9mQTlZIUFgEstuuXsfdPFiOJnn3zCPv2z5HdpmmXBlNGd2gbGuDNag0BKZgHQJyawhaMxrbO6/DsrRIpJtb9/YVLRTRwv/zETLAGU1QEgHBMhAK54WZc9K0GWtlforLRdK+t+qXuEzYxsgd9goT+p50O6W8R0DPiqvOQBGLsRxcExzJ7hU0tcwWONqWXsZ03hSERzaIw3K8vhka8YQEWQgorFWL41jUUByZE4T1anS026LCAlLuUuSZ0ZxrPu9IvSCOVYxvJY2EkhYqiUqyggsTQVGfCfaDgjK1YcFjKjKW5I6I516Q2qprLZFO7tJuFVIDjvUwAxLnulcZJGf2hrxNy0HM25HDxDN9GD3lidWWd66WnwxJlXH22a+SN2XcECkEgxKayvU0lZM8AP7GPIs3tEimbJaUaK4ml5u1A4/5HAYY0BTw4Y3Y6/oY58Ec8zH1rEqzqWTLiijaimWn7WTJI1HZFAMgLQDR6BUC/InL/ABbe44lVLj6jebtQz2m4ZILbJPDcowFkfDvBXhjVRVIq+6gq7nmam14MqxnXC7WcTtNw1UU4sxKELzfqGXUoXJgqIcMbKyqeawoayyEe9Iw+WHpZ6tJJqf8AkbhsH2gBMSFx/wBovO/6Qcd6q73ilBGAI16E8MSj7oBbxQnnapZJoh538zxu3qbXzcYmV3ThfuSy3QuZZbLIq7ZRynmQiD8TYj8o/nabqvaNp9pdVVlGOOwdeiFtRSWWyycejNxeV3CqWUBMVP7yMgeeEi3LpUVrGiZz5FdWisLnHdzCrudxm3yM0bcbyDP7JpLn9nFmbF8SH4ZANwH1xSMa7xASLz+6sk2ROyqwjbGgzNQMuLC2IkZVRs66g2Ajw2uNb+fZCLoTi0UuVl62RMYUO6JZ3ByKmvAaGoNACEJqejdLIyNDEQ1uHX7TOY4wxTHoobMuF4YMuFzHhmjALDCrKpY6mi5rrp32eNGhiUzUSO4mSWCx1aYEe00ENkTnSJjwhsqHI6c+fIanlW1PGhjHvu/LFT8N5wRUuzZzCqGJ/Vs/DTkyLLWnctWr0YWQRoYeTaEjLjOz9blQseWCl3xP54rUWxpmjZTEwKkSLWgyZUxZnLRo287Ax4YeDO+nP4IWENxYRK6vz0ULnsucShBCWJC1QYSSshwgGhyJrkNa0sz40IstWt+sJWMeHSlt2FaveypMOLAThVWLAdqNjhjfzPD8LZkZk5TvPuKkdUXw3SnlywKiuyZlx1hYqorIBhNAMyTQ5EUJ7qGtj40N0pOqbkoY8TptVV92ZJD20wgkgHLOlQctdQR5Gzw4rInpKV8NzL0LaiRZbIroNjXGoKo3EyqZZFod2r6RR9ZX0OdBmK0DEcUeLKpGwHEjE/2jvBdMKHgN/wADWUyDo4BKA3eJljSNTUTSV4IkPtIDmze0SWpmAOeTmmU/MaknAYk5HIYCm28wR/aMMzgNmed6216ESteZKO2I4TykmzWo/wCnEKqvgxHK2DLZEJtBLg35dedywdZBiOr1PwEkgibDRmpJeAWdz7EWbMx73pWnuqPet1ucJ0FG0AzddLdz2LnY0m81dUnVid6htGeidDMFIX3YUyiX8RGI/dU87GE2btnu43nddxWivpt9mi4Ia98MccfM+tfxcDAPJKH8ZtRnmcXbhuv9+SSJ5WBu877vbmg7VUVlssimFIB9qQnyRQPzc2nfE2DmfpVuh7TyH2hbUUllssnno1fpIkvLIQPVa88VHw08BibxVeluPSobXuYHZ/H0N66tGJAeRl7/ALTUW9KJzyjw1Jw4KDMsTmDizY4tdQKU0sRoUPXx7F1Lrkn+ocmB9KZhK8ZwYHpTIimJcqEMCAcQrQ8vGsP9FDLA6sx0P0rGO62W4HqhbltWQQ4Cqa7oAg0OFJBhbPmJHWveNKWo+A0xLVc/cfAKDHnw5a5e32i/Re/TUQRhAgnNVwvQB43LmoauSBgBmdNTSzaRorHguJM5cq5ZpIMYhwGE+dFa13vkaUIu+GCmpc4GQK6cTHIjeCmeCr01NmOjMJJma7Md2PHWk8VwpkmOzzfWUYWiNVBUlRRSRC4FasGUlaV6tUa5SfoUO/jXaOvsqw9IdUHdz6IcfSwqLIYWQmRGjIYrgVY60cHMHCCAK5k11Is50Nl7Zg566/KVukOnW7oozXW+JOxcxISqw4wJGqFDFWUVoDw61Ayyz1zdFhlgFb5/VyDorg48FfK9+VZJH3C7skSFRWqASMApoaYCzAU505DNDoUO6vHGnOVU40h0p9y+lR/zoFVMCqVxqUVzUJR6ipoc5ACCTqQAQpAYaHDImZ8d3fFIYzgaID0hW8lCJ919b2krXEQxANdFoSo0JwjWlbUh6O2EZtndJB0UxBIrl7dKgstkV1VzG8RLvERGixh55K5RhgMZJ5yMMvsrwj27ea/yOMR9TOTRnluHuanBdzKgMbSlTl9n2uzRK+tZVSsaBKRAaxRHIvU5CWbkeS1JyzsnoBLqmddbsv8AFvOiI85AFBhqGe0pTfLyk8pZsrtAAAoyqNFVehcgDuUV5G3SxhhMkPW7ue7movcHu/tb378lCFS9WkNDNWSQj2YUOi9MTAKo6KvWxd5aNwoP8j8XnemaJibsan/EfOG5BRnfz1fIMSzU9lFFSB3BVoPAWsf0ochu2n7UW/qxK9gfSGvMxd2c+0SadK6DyGXlZ2tsgBTe604uVdmSrLZZFXzJIV+wW/fZv0AtJlXOOvkFWJRrRq5lC2qpLLZZNdnrREX9q0vwVGQfN2+FuaIZuJylzn0C6oQk0DOfKXUpSLdK5UTe81jbqmHzQkfy4bTZQuGvmqPqGnVyRN6fFArjUycX3gtK+eR87IwSiEauqo8zhg6+iolmZaOjEBiGIBIGJDXOnQ5jxFqN/pKk6+0Fdf7xJHLMiuQrM1R1BqB4cLFcuRI0sIRmwHUmjCURw1oS73lkZWBPCVYZn2SD+lmc20CEjXWSDkrL+CsjLiYgE4czo3EPiDXzsIbrTQUYjbLiFZPMzRo+Jqr6psznTiSvlUfgsG0cRv8AnvWmdVgdu+O9SohvTKQSSRzUk0IphII71y+Fmc2Ykka6yZou8yPg3e8YqnGuZoVYAA06gADwqOVka6s8+adzaSy5IBpCRQsSK1oSdevjaqkpycQxcxk36Hz/AN62UUMkxrVVCzILqLtIm5SKNCyVQuBrPMwqsdfcXVugAGpBPnuDrZc4yNZf2tz2nBdgIsBrbsdZy2BVbXvJVBChxyymrsur4ssu5uyoGiD/AKhFmgsBNs0Au71XnXsQiOLW2Ree/fDVtQMsQLLdlaiR1aZxzYD1jDqFAwL/AP1aocQDEN5uGrAb7z9KdkEiGLheef0tbSnolNGlwuR7sa5Qp8OL9yxhNrqFN+J6cUYrqba7sB3qQ0XBC7c5Dux4LRn+eAfGznzPAyr0HVI3ywyc6dT0Qlq 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

JEFF STEINHAUER

 

El físico dice haber observado los efectos cuánticos de la radiación de Hawking en su laboratorio. De ser cierto, sería la primera vez que se habría logrado semejante hazaña experimental.

http://www.milenio.com/cultura/Feliz-cumpleanos-Stephen-Hawking_MILIMA20140108_0277_3.jpg

 

https://upload.wikimedia.org/wikipedia/commons/d/d6/BlackHole_Lensing.gif


https://i.ytimg.com/vi/9FG3p2C_Unc/hqdefault.jpg?custom=true&w=196&h=110&stc=true&jpg444=true&jpgq=90&sp=68&sigh=MOs9qFtfjt2ewAla1_VYGdLGJfk
41:00
 COSMOS (Agujeros Negros)


REFERENCIAS

1-http://www.astromia.com/astronomia/negroagujero.htm

ASTRONOMÍA EDUCATIVA .¿ QUÉ ES UN AGUJERO NEGRO ?

2-http://www.diarioregistrado.com/ciencia-y-tec/stephen-hawking-explico-que-pasaria-si-cayeramos-en-un-agujero-negro_a5660c7dda424ffcb0aa2036e

SI CAYÉSEMOS EN UN AGUJERO NEGRO – EXPLICACIÓN DE STEPEHEN HAWKING

3-https://www.unocero.com/2016/09/03/la-radiacion-de-hawking-ha-sido-observada/

LA RADIACIÓN DE HAWKING HA SISO OBSERVADA .

4-http://www.todoelsistemasolar.com.ar/agujeronegro.htm

AGUJEROS NEGROS . TODO SOBRE EL SISTEMA SOLAR .

5-http://www.nationalgeographic.com.es/ciencia/los-agujeros-negros-no-existen-dice-stephen-hawking-al-menos-no-como-los-imaginamos_7983

LOS AGUJEROS NEGROS NO EXISTEN COMO LOS IMAGINAMOS – STEPEHN HAWKING

6https://es.wikipedia.org/wiki/Agujero_negro

AGUJERO NEGRO

 

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