Rectas y puntos notables en los triángulos

En esta actividad aprenderemos que son las rectas notables y los puntos que estas forman cuando se interseca, asi como ejercicios relacionados.
Un triángulo, en geometría, es un polígono determinado por tres rectas que se cortan dos a dos en tres puntos (que no se encuentran alineados). Los puntos de intersección de las rectas son los vértices y los segmentos de recta determinados son los lados del triángulo.[br][br]Además, dos lados contiguos forman uno de los ángulos interiores del triángulo que, como su propio nombre indica, tiene tres. Y, como es bien sabido, la suma de éstos es 180º.
[b][size=150][size=200]Mediatrices y circuncentro[/size][/size][/b][br] Las mediatrices de un triángulo son las mediatrices de sus lados, es decir, las rectas que pasan por el punto medio de cada uno de sus lados y son perpendiculares a los mismos.
La mediatriz de un segmento cualquiera es el lugar geométrico de los puntos del plano que equidistan (están a la misma distancia) de los puntos extremos de dicho segmento. En el caso del lado de un triángulo es, por tanto, el lugar geométrico de los puntos que equidistan de los vértices de dicho lado.[br][br]Las tres mediatrices del triángulo (hay una por cada lado) se cortan en un punto que está, por tanto, a la misma distancia de los tres vértices del triángulo. Eso quiere decir que se puede trazar una circunferencia con centro en dicho punto y que pase por los tres vértices. A esa circunferencia se la denomina [b]circunferencia circunscrita[/b], y al centro de la misma en el que se cortan las tres mediatrices[b] circuncentro.[br][br][size=150]Propiedad:[/size][br][/b]"Los puntos de la mediatriz de un lado de un triángulo equidistan de los vértices[br]que definen dicho lado"
Ejercicios con mediatriz
[size=200][b]Bisectrices e incentro[/b][/size][br]Las bisectrices de un triángulo son las bisectrices de sus ángulos. Existen bisectrices internas (las usuales) y externas a estos ángulos, y son perpendiculares entre sí.
La bisectriz de un ángulo es el lugar geométrico de los puntos del plano que equidistan de los dos lados del ángulo.[br][br]Las tres bisectrices interiores del triángulo (hay una por cada ángulo) se cortan en un punto que está, por tanto, a la misma distancia de los tres lados del triángulo. Eso quiere decir que se puede trazar una circunferencia con centro en dicho punto y que sea tangente a los tres lados del triángulo. A esa circunferencia se la denomina [b]circunferencia inscrita[/b], y al centro de la misma en el que se cortan las tres bisectrices [b]incentro[/b].[br][br][size=150][b]Propiedad:[/b][/size][br]"Los puntos de la bisectriz equidistan de los lados del ángulo"[br][br]Es decir: si trazamos perpendiculares desde un punto a los dos lados, los segmentos que se[br]forman son de la misma longitud.[br]
Ejercicios con bisectriz
[size=200][b]Medianas y baricentro[/b][/size][br]Las medianas de un triángulo son las rectas que pasan por uno de sus vértices y por el punto medio del lado opuesto a dicho vértice.[br]Las tres medianas de un triángulo se cortan en un punto llamado [b]baricentro[/b].
Cada mediana del triángulo lo divide en dos triángulos de igual área, y las tres medianas dividen al triángulo en 6 triángulos de áreas iguales.[br][br][size=150][b]Propiedades:[/b][/size][br]"Las tres medianas de un triángulo son interiores al mismo, independientemente[br]del tipo de triángulo que sea"[br][br]"Cada mediana de un triángulo divide a éste en dos triángulos de igual área"[br][br]También puedes observar otra cosa: uniendo los pies de las medianas (punto medio de cada lado) se obtiene un triángulo semejante al original con área 1/4 del área de éste.
Ejercicios con mediana
[size=200][b]Alturas y ortocentro[/b][/size][br]Las alturas de un triángulo son las rectas que pasan por uno de sus vértices y son perpendiculares al lado opuesto de dicho vértice, o a su prolongación.[br][br]Las tres alturas de un triángulo se cortan en un punto llamado[b] ortocentro, [i]H[/i][/b].[br][b][size=150][br]Propiedades:[/size][/b][br]Una altura puede ser interior al triángulo, exterior al mismo, o incluso, coincidir con[br]alguno de sus lados (según el tipo de triángulo):[br][br]Si el triángulo es [b]RECTÁNGULO[/b]:[br]"La altura respecto a la hipotenusa es interior, y las otras dos alturas coinciden[br]con los catetos del triángulo"[br][br]Si el triángulo es [b]ACUTÁNGULO[/b]:[br]"Las tres alturas son interiores al triángulo"[br][br]Si el triángulo es [b]OBTUSÁNGULO[/b]:[br]"La altura respecto al mayor de sus lados es interior, siendo las otras dos alturas[br]exteriores al triángulo"[br][br]"En un triángulo isósceles, la altura correspondiente al lado desigual divide el[br]triángulo en dos triángulos iguales"[br]
Ejercicios con la altura de un triángulo
[size=200][b]Recta de Euler[/b][/size][br]La recta de Euler de un triángulo es una recta en la que están situados el ortocentro, el circuncentro y el baricentro de un triángulo.[br][br]Se denomina así en honor al matemático suizo, [i]Leonhard Euler[/i], quien demostró la colinealidad de los mencionados puntos notables de un triángulo, en 1765.
[b]FELICIDADES!!!!!!![/b] has llegado hasta aquí; pero si aun no has comprendido bien aquí un vídeo para que refuerces tus conocimientos:
[size=150]Buen trabajo has aprendido todo el material de la lección; ahora vamos a interactuar con las rectas y puntos notables de un triangulo en el plano:[/size]
[size=150][b]¿Como interactuar con la hoja dinámica? [/b]Selecciona la recta o punto notable que quieras observar así como las relaciones entre estos que quieras. Sencillo!!!![/size]
[size=200][b]Vamos a resolver![/b][/size]
Calcular la altura, que divide al triángulo equilátero en dos triángulos rectángulos cuya base es la mitad que la base del triángulo original:[br][img]https://ekuatio.com/wp-content/uploads/triangulo-66.png[/img]
En un triángulo A, B, C, el segmento AC, mide 8cm y la mediatriz de AC, interseca a AB en M y a CA, en D. Además, la medida del segmento MD, D es 3cm. ¿Cuál es la longitud del segmento AM?[br][br][br]
¿Que recta notable pertenece a la imagen?[br][img]data:image/png;base64,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[/img]
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Qzmtjl/888Xc0UZA4McMoGlh418YNnKtA+owzX9Z6ADp0HoOWt/4WoqCaIiopCVOzX0fbhN3Bzzyp06PImHu6XgzlrPpSqBuYP564+hA4Z5YjPmoSYxBL84NlqLNpzSjzMYjWxdIaFBq4Dm2miNj3Ql0Hz94DFf28jg4Ypj0p3z5U2Z0seLeQXJ5ur5SWnAIzecAzXp45EfHoFbug1FhlVKzFiyjx0f/pZZHbvgeR+g3FXz1y0Ty3CzdmFmLbttACmzgnhtOtgW9hB97H0JFcjruc0RCfmoWvOW9gVoE+YZVEaizJY4+0wn1drpC5LGh8Kn/258UAjwsNPb1K5QwCdocB+HgufvZwXl9Fp4ACAx8a/h7bphYhOq8Adj45F9baQEFj/Vvi+Pwwch6YPDcU16fkCshOMjjsWAq4NBiGWnAjhh6/MQZMuRYjuMQZtu/THiLc3oUbysbSBAGvDpU7c4bVq8rwPHP9cl5//9gg0ImjIC5S/qELyDWyhox5QvAI2qf9WdkM5wBDAz18ZjYSsKjRLLsXdT1figzBACUQFRjLLxM6U/Olo1mk4EtKKMHjxVhxmSxIGKW0FH9+fv/ogOvasQIvsSkSn5OCbvXPw1rajmkJBE99kZwyqKb/K4AwZ/ttDdfmv/gg0HmgoVM4CDXPlNFPOs5ckV5ftN1gZYMGyTJiOKWR17t4a3PVoIVqlV6JFYhH+MHQ6djLlQSaWpS2GqKLX3voA12QWIy61EJkl87DP0tBDhO1QtDAWe2yg1+TVSMjIR+vscsR0G4KHhk/DxoCtucWOi4jlwrTUT+TzGn9ALj///0egcUHjAYdP7AnBPDpaVFIdxIZI7FfCNhy2C5PRaFedekPe3ooO6SPRKr0C12RXYMDiHaAJznxh26yHYwVE/VSvP4TbH61GTFIefvtqFXZGDK2+smzURoLSI4ZqavnpMH7ZfwpiE0ehdVYlrkkbgednrcXHzLth/o6lTQjolfZVE58vPz7bCDQaaGSpiwNGKTA7L4Q90LCCkRLGJWi8+nm69jmB5DO9xy7DNWl5iE4twdefGofZ+wxRTSxKY9sTxwkqZzli4dvPTkDLLjm4p/dwbKgPi2OQ4DttRlDrGKh1lN+MWbUX33p0NKJTytEyrRw39y3B2O0ncdirA3fYCoWVl2cB57MN2eV3/UNBE5SsXVZfmuLSJ2CopSxbW5jRC7w5BPzy1bFol1aIdpnl+MPwBdgchoCE7Ucosxw3Io2R1tYC9782C7GJOfhK5mC8vT+glY6OjdOOg1pbqsbFkXfMcdFv6gZcn1mBlpnj0DKzFD97YwLWhLQ60u8OcTZoLkubz7YgGg80lDLURMxfkViPBQWN1klrSYl2KDMs7ctH4jr1o/34SvccxCUX4IbsUjwzbaNIA3aIYKG/bYVhsycfgC1h4JGCpWiXnIvbM4ajcvV+7T5hmThtKmcxvQ4XfP/GgIP/7j8d0WllaJldjYS0kXhm1lrs9Vq50WfjB04vq6nPBhi+q/FAQ8Bwpqh+PNAEYIqKkhI19qqhW5b5Lo4mTLGa4IWxs3FDylCpb+qYkouKDScleMmvMpnjK730tNMEJ7vPhDW4NjkXt6aOwKB5myTxivnFQfbRs9l7z5RGjUFHVdy4rSfw5Z4laJlehlaphbitZx5Gbz4ssS5+v8NSXWm0dJnffFbYNB5oKGm0QFpqpEOwcD5oXKbRsT+NDZx0gb0O8GD/IiR0GYi45GJ8pfsorKizJCeGvhR2ZZDeOFDJRD7y0uzNuDEtDx0Th+Dp8e/jqK2dJEIG84PpsKN1VI+AU49TsMQKe2HBFrRLzUezpGLEpRTgNwOnY9VptkNhPd1lafNZweK/r/FAQ/pB4DjsKMF2ItomldEoXw0wc44tZxnVppR593AYP3quEnFJJWiTVoE/DZiEfbaqmbBlgKqG0oBCjKW65ECF7+/FnZm5aJc4FJ3zF2E7O7WxHJyBSPqjqdLsMAwnjNNOWKoV1lvAgzlz0CEtD20yKtAqsRi9JqwVwDH6Le1sPd+RtCSRsIeqWq1yoWXFG/SCZf7o/Zs+Nx5o1L0qjRNZmK9+Gr+FB+M97DnjatdNL7+leNUhfPXRmWiWOBFt0yoxbN4mAYfWSprSEZSA8DXfaQCL94Vxd/YwxCUOxw9fm4qVJ5XYSoGcdLFiR00b9PwGbAv8zEEAs3Yfx4+eykeb5AJcmT4d7XtOQu6qQ6IKaX1JXxpp82ZJFYPkFYso8rzG0k6F1h+B82+KFu+2Gw004uaQ/7h26xU0nteVwUlyE9NhJJx9pxyZzKcnb0S7tCm4qtsk3NJ7PObt0ABjxAlK61hyFQovtaFUOpEM//iJXLTqPAS3PlqKBYcN+S5HzDJ6nCns2ABaJRTNekoomvbDF2/ETSkjEN9nDq5IrMIP+k3BokP1QqbZ2s2OsMG0gYipbWVFNXqxVUbJ2EpOQyBE07/vo5FBw0HV9mkkw76rnqBhPbXFvryitoDtARv/M3AemnetRuvMqfhJ/3nYVM+MHKqLCEwnDBa/UUVRvVHaMJTAyf/tiyWI6TQUN3Yvwvitp3DCA5ZEzqmqDAeG6Uo5CxtN0+FH4GyNOMgofhttUorRvtckxCbmIrn8bXwUMtXpZwRhhJgywdiZNm5iYJNA5/n5zICF+p8vg0bUtSzpixS9op04tBIu0P7DUpsm3FflPFunaYdzYPaWQ/jGY2NwdfI4xKaNRtbY9djFfBeZC3bZ9CQTpZPDIKNKGqqazMLZaJOYg45Zxei/YLN4j8Vw47kkOKnP0oYNDuosA7WuKxJp8YE63PdsNdqmFiEmqwIdu+dj2LKdYubTmUiJKA2QpIUJfdJBCYcQzDwHk+A1vesyaP6PoOHKJIvRHnU+Z/RTcTWPxoTl0oPLxs7AoLdWoE1KEa7OnIhWXXOR98ERsagkTi4NexkbIhfSNFJ2QK+DKwAZvOgjdEjJQ7vkfKSVLMBeL52TakziSkzrFNrKslwDJvcwcA3pLM4y3sL3duLWrDy0yixHTHoJvvvCBMzaf1q80JQo0nNPQMP2uOy2xT7mCho2bOMV/Ts/Gkk9ERYcSgYjqR9UX5Bf6o8caDaODotVdcAG0vLmo2mnPFyZNQEds/Mw79Bp8e5KpJzfwVmnyc0sOycsvmW2QmTfvfEfncQt2UWI6zwSv39jHHZw8w21bWDQBOchLQSpFnW6bTcIbqjB91GiZVctQyzzd3pNQHRSCR4qWoJ1AUPUlGlTRamaJc2ma1GbDPjdSv+dIdNozr2zQEPxwnkivfHww5QnhhbZDITEdMUxA796ZTqu6FKIJulV+PnAadhQz/1c1G/Cz9oRRwKc3C9Be+uFxO9DbrJgfwTfeqwKrR8eih89W4r19QQNfTokq7o7C60uR7p7eorFZbZeCGGHDZGARYfr8NMBkxGTVob4njPQNr0ELy/ahn0auFAKzvCHcBvZ2UFbtQnfuQwaFbeeeXlx5qSCRuQKyY1v8shGEv6wUy0prxi/4Si+/dhYtEwfjabpxXjqrfU44OgGGhL/oZSgIWSRX7B7eQCWG0AAYfHvLD9m4ZevzkD7LiPw/UcLsXBPnag86VNDj7DXW5id0rX9Prt1MsUiIp1FGaIQn8/Knbi1ZymisyajVdp4fPXxMZjx8akG52LEYNyM4DfhOLVwuXfDZZO7scIIChqhsQQNVYuoF7rmNa+Ga5UrnCkPf525Hh3Ti5HQYyxueqwaxesOnYlqyyx5JbRCSsNwHPYfpiTSNvfbDRedcxeiQ7cRuCs7FxPW7ZcOv+xJbNkR2cYnImY+O3pq/o5sEeQYktBFaUc1td9w0XfcasQkF6NV5hTEJFfi4RFzsKk+IhZXPXeioUPSMGBGTsI16uBG2L/4Iq2FfxEB1YichkY2ybAuRgGN72UFvbwqZTYZLv6SswCxXemdLcd/vjwZ7xypV8uEvhIme3NwOTFeI2jGxOndoblOKXHABXpULkWHrkNxe8Yo5CzeKoYwW8qS/0jrElFP1HOW7LlEAUFizY7pBIxfcbn8SD1+OmAaWiaWo232dHToloOXpq2ToCZBXmu4UvbiWiHY9afhRsh3uCL+fR+NBhqKFqZmks6QT7CRtJrfpkSp6xxHpMnMj0/iO8+NQ+uUYsQ8PARJBUuwO6ypWtwrShoTiUogIeI+Czq9VHL0nDAwedABXpm9ATemjkDHtEI8M2G1tMA3Xe70xtxijYpTymmrNJVcSre0qT29wGFTgVy1eS+++kQ14lNHo31qOb7WPQ8Ttp4QM5w+ngitMapKMww3EoDLkt9/40cjgYYjSDmjvISEVpo/i8+GpSJM/ob00hv03ha0TxuFttkViP7Dixg27yPhECxmI+0MOjYCsrkXJU0IDjuTk3VJHxv9/uMuULHhGG5MH46YxEI8OHIh9oRZqckNvkIIuJbUc0tiO3NySMqJHyHmhB99LQT5WSpzzga06ToC7TJHIyE5H78dNAWrgrYAnXVZrJ2yTROOyW0I1Zv074qbRgONT2X8ElgloYzVkAOop5fltT0mr0XLbiMQn12GWxMH4a2Ne1U1MQWUXMN1EWAbNP7Gjcdo/nKCmQMTcWRXOQY75xwMomP6cFzZtRQ/em02NtZoYldQVBiDpQSJxqGEmHugIVgoh8QFAFOsLkqTdQEXvxs6FTFphYjtPgZtk0fg8YkrRBVSJYZsJqTb4lH4dwWLf9+NBhpyGbrZOVnkL6S/SkJptai6WF1j4rfDF6NVWgGi0wrw50Ezsfk4Pa5epNrjGkGqDoKN3+ZGxMHHFAYmb9EHQ9mzqi6Erz9WhCaJlfjWCzOx7HBEgp11rvKnBmknZFrc0p4lpNGviEuJFNSNS21HQhETPj6OW54sR8vuoxGbXoY7skdg4sa9Ign9/TgpdT5dznDZ+Ic/vP+az40EGoKEznX+47Mmj8umnzarDrQEZfrOk/j2sxPROqMMrRJH4Okpq6UMReJNHnCYRyPdgKU/sJrJ3KpQvMPSV08lyq5wBH94YyyadSvGzY+NR8X6g2JGhxyNUtPq0eAiY+aeOd+gpxzpX2O5dTCtsCSasyUtfTQvzFuPhLQhiMkuQUJGHn73xnisOh4WQJIYn3R0YfgeCqHExIoETAPaCFs2HlMDUjzcWpqnBuW/AI4aETSaRyMbaTFAyZ1vpPczO/zqSh68ZAfaJo1CfHqlBBtHrdgpK5ySSXJiZLBJQDgV/i4qTADnBqdKsuuZjwPghGnhybK5aJ2Yi7aZJXhh1ioBDQFrmxFvh12yJHp5GQwg56LKow1NjccUB259SDNcQwRUQ+vrHTySNxUJWbmI61mFhMRcZBQvwWEXErs67jio58an3teIRBNLLwIYp5WHcUNYL+wgC0hYlL5GsH3RH40IGg4PW87rxChoNADIgd0ZsZBe/i5adBqO2JQi/MezYzBzz3HN8fWkDFclJZaAht8j0oZ7JrANGgfdRb3jymcIgpFz1yEhKQetuo5ERtlsUSO0irgVssPNwLlFIWQXBQGN2GgNoNEdd7V/DbP/uFWyLd+x8EAtvvNMORKyy9AitRQ3dS9C8do9knvDZDDGw0iGRR0zfdViuIKF4rSsdDuhs0Gjniqfen/RIdPIYQShspQSDZuNeXk0AJYeOo57n69AXFoJmj80RHw1HwbV70JQkSeIKJecFQJHjHeVOEJelSiTz/CgVBi7ai86phfI9/152FQwbSLMvB1uok4SLGEAxrssIbxCx8VLrCeUnBv6bsCErxDqmCbq1WINWrgD7ZNGoHXvsWieUYT/fHUClhyqUz5DnmRRddLvw3N618+sRe7yKw5NFWgi1CTjj9fE3774sqbRJI3Glb0abR800ulKqyOrNuxB++TBSOg+Gi3+MgD9Zq4Q1UTLhUP5CdDIK3yVB1epqjB/w1Su+Le2nMLdT41F9CND8YtXJmJdLa0vGyZVD0mpBxraSgw7iqTxQMP5U45Mtce6iQBIjkOmep0/qnOQXPwOYjNL0KrvOFydOBypRQtx3IBWiyQAACAASURBVKT3mxvMcxtpsi9NjSZt1yultFT3g3/1YsXJxmN81xffMdhIoOEUCRvUKOXZoIEtm1+8MHcjYpKHI7bHGNyYnovKlZvFK0tnnaw/36En0puT7g85uZIpOTXcdS5o0zmnHGTF4TB+9sp0tOkyAj/66wQs2B8SvkN+RA7kg4ZUmA6/BtB410ds0SFpc7Mxl1YcSbSDoK05yYsO1uHu58eheUYxYntV444eBShcvFXCIfRcW3ZY0i7UHjvjZRbYsKWJvxhkaDz3w7+AN7nRQNOgqWWAuBcmE6mUvG4NGniweAmiM0twdUoJ7n91ElYerhWwBE1bksfPFdr8zR9yGxaDkOyd53W0ImgItK31EfzvoNlo23k47nmiGmM3HRcrh9KITah1Sx+mVZCMe/k+FDFSValnYJ0499bkFtAk7CTZPLgFGfveDHtnJ27OzkfrtFLEJubhvn4TMWuPtjmJ0FIz6mRjM8ocmuPc/P180DDTQ/fEJOe7LGkasOL/IPFGacLIWm0V3e8eqcU3nx+DFlkVaJqSj5TSJThgcIBdsUL4GRogZx7ngoYpDlJC661ckkyCZn/YRmbRUrR9eAhuzizB8Hd2iQeXk075pDKpoTjYM3zJLegsJD2la8DbS9yLjPvOSZbg8Ht2h0z0Ll+CDsmj0K7HGFzZaSQ6l63EesMRXsUN5+HU6e6+6p1qAI1/FwIaxuEYS7usns5Ms1AIqVNS1UC/ChOhWA1QsuYIEtLy0TS9FO26F+PNxVs02YmueaqKBhLst/3gauSQn31w/Z6RP/z5hAP0f2sLru00BB1SivHkpHVSskKSTGvIdsNwvX0xyYnOEG1P5TFwQQtN2sfqxq0EjXxefMYqKVcdrsOvX5yAlt3ycFX2OCR0r8DLS3ZJ3RbDqK55CrDpxdGALSUs1aN0MOWrcoPUheR856yOswbwwj/61Z8Xfsfn+5fGU09MTuJA+STQsaWmeq/l4MlJGxCXUY6rkovxtadHY9r2YwIAfyxF0pAVNfS/+yRoCC3+0+9XxsPJHbP2IK5/5E3EdhqFznnvyB6XnD4avgqaIKRSwQO0XiFBoz0txFTmpqiWdsaiZ4fAobFuyuZiQI0NlK74GF/uUYomaVW4KqUcdz5ejWk7Tgm/EaXm1oNNBZjbzDpxlhJzPHwpKvdGpF/Ewx+Xi/joP+QjjQgajoh6hMOeIqAwXnMqhJ+/Mh1xWePQ5JEc/Lz/ZGwI8n1Knh2W61LaNACGP58LGoUK4eIfYr+Iinr74yO4LWkIWjwyCr947S1sCLgaZJTcOwZLaeVQNfhBS0KPjVDIdDTbT7Zh5nbPshMMLTVVfxHmKHu8bI/poM+ElWjeeSRaZlTh6kdG4OGRb2FLiJBhOXAIETMAw+SOvwQO27Vpxaf4/kjO/34hI5Puj80/BAEX8aWNBBqyP4perl4lk3SykRPM2FGH27tXISF7Klp1zkV25XxJOeDfhKuSrwpozq6lJgB92eI/+4DRZ9omnNwPjpzEfz5eihZdCvEfz03E4n214qCjR4U2k+yxTfet5zPkhvOUMrSlOIn+BvQaWNUN4ikGycd4hC0T9bYlBHvZySB+3X8qElLy0L57FW5IHYZXZ63FfteVFie14bA0anIk088EnwXestG9SkfdTP78RaK/X2j+/nVBw3Uvu92KX1gsHXKOIYsO49qU0WidNhlfzi5H3rKNItJpndC8tW1/AHVVnj1AXJhnDl85+eBhlAvYUhPEXwbPQrPOhbi9dzmqV28XTlIjWckEATmLRhkpwPgjmYocGscUZ5x4n+lLoapicFxxJs7CgKUJ5+xyMWnjYdzVswAJKfm4NqMId2bnYsruWkn7qLE0H0hA42pmtJr9XEqEudam+/d4/vO/IWiojJgARVcZ1xewt95Bav5qtOk2Di26TsAP+83AkgO1kkrJaDTTDQzTbyx0RtIQFmfA4gNHQaNUWFx9ouL2RRz0ql6Fpl2KpZvEkLnvy/fXip/XA42IDbV2FTScRLKWM0AVsSc8hCBWVUaSrua+gZBjikl9xAGenrAcN6QXoG1GBWIT8/GHYYuw9KQrzsoQGyW5GmjlOcR+5G6+wo/8BfLpz19M0HhE7ZOq9/wpVPWhloD3NzE9A+JA851v644a+NHzMxGXMgUtu03AX0a+g50RtU4YO6ILXorvhc+cmcC/DRrlTiSwNLs5if3e2oyYpDLEdxqOFyYu8TzNzMkhp6GkUT8/JY069DyfDWHX0Eu4wS8p5j+5FuvPzUgIRiQAwwqBEockeU2dgd8NnI7YrvmIzxyPNqml6D15A/awu4XwIaomNmNSByMlMHmUhln0nLxHLiwevCM+nz/K/u/kROe6JC4Er8/n9XM5jXhI9SbOnJ7L7sz+1n4Kp4axOQDeYQcBq054jWE7wiumbD2F9mllaJ4xDW26T8azMzfK6wF2rPLEP4UA5QZF9Wd/KLoJGunouXIfOqSVIfaB4UjLfxu7I+oxpoIQuutS4lD1KI9Sd78H/PNO6qsM5R40m204NqsRaMKTCWml56Stx3DP46PRJnU8mqZPwfWPTkTexoPC1+rpbmAMTFKUOahBjagjAMesEZ7FGBkByHAINzejJUieF/ES8SXFxCPhPr/6e0bovNtq1F8vCBq9QP5PBum7wLmHEn0bXKmUDDy8bBWvuIycwLTpTXXx9JTliE4tw5VpE3D709NQuv6oRJu5XSDTJiS9QHjF3wsaHQN/AqfsOIVvPjoeMX8ahj++MR8fnpAUMC/cwDXNPBeWn9AtoFYMV/anPXzQXOiZUGN2IYv2np+wEh26FePqtOlokjoWPx32FpbXsy8PEDRdhJgtEbFghOj8oxSug2WfRMiqE17H71i44xCK5q3B1lMao1OgawiVtWIeM/KszU+74s//tXNBI6udw0kgcEp4sNKQK4VMhd5VRoR1Vag/g/BRa4SZ/tQEfH2XZePXr1YgNr0cX+pUiO8+Nx5rAvTR0olGH4berKgiz9z+e2+fV8eVuvBQLe59YRqi/zQUP39pFpYfYHhSpQ3PJxk4cg96Xor6Cwm2C4HFf53XGIqQ3zjYWmMjOWchWnYtQYuMCeiQXY6skrlgU2ympmr3W3q9HQHaaYeEOoBahLHLdpG3/AD+s0c+7uncH4Oql+JYmFyLVqEGUJnUwcg85aVG6C4NWXMuaMQG5nBTYfAGqHq8kD7NSIGMpm4SGAoa6mbd6aTegTj0uNLm7Q/i7ieLEJtWjOiuo/DIiKkSy2F5CZ1tou4buIyS4IsBDQG86lQI/z1wLmIfHIrvPzkRszYfF7hTfXHI1V1H77DmGuu5P/1sPjgu/KwkmYSa6mTuzuO4s08RYtKrEJdcgW/1KsbEVTtlc3pJRueuvaaBoONIkhily9q6MJ6YshJ39SrB9Q8Px01/6IeuzxZi2yEqWxJ+zXSmAlNblDErkupLETTEi6fqffKlvgxPpHuETPQ940ve74QYAcRVT8Aw0Dd82V7c1rsEcalFuCW7EDmLNsjfg1ZAMvFM7owSZp0Sp11J8KdP44Vf5eXyvDsNF5nVqxHz0ADcllGCgiU7RRpSEhHqlIS0ZNTUVhV1sZKGn6NVziIHRs5Z/PfqO1uQkJqDuPSxuDalBL/uV4VFu48KUae0oKQjR2FIZdaB03iwYB6uSRqC+E6D0eaBN/D7FyuxYOMBqdigRHFYv3W2hJHkfI7TJQkaooDETd2nBAzx7Sc9MXrMFaaRYTrO2A6E60K7ixM0PPY5QM8Ja9BOuosX4XtPVWDhrhMCKCaMm9JM0YVN+U0/ykWChqBlqgQ7Qbw0bxNa/eUVtO+Wi1enrZdzqYKlfPT/MRatzSIvNP6+hLkwVLnoXRHAYTeC43CwImLjgbzFiO1UgLYp1WjTNQeZFYuxPWLhBDMC4WCPAZSvO4j/enky4lNGoV1KDm5KGYzk/DlYcZx16gQhAU4JT6hT+ornU/OPaXBc6KL/1sX+A/52rnoSe5TudEZuiXamFKgZybIR3pikHUlubQ1ctg7xKidrXG2mSJNzUxD46RuzZH/JNuml+POQ6dgR0O+idUDuo5TGI9kk0xda+n/jpvkRPyg6bNkGtPxzP7R6eDgerVyBY1ru5CtZmQbSSrF/eHKPU53/9Z8FNEr1XIStCE7DlvZsCw5FcE+vCrTpVom4zCno2HMMXn1vL/Yz79hw8fjUdbi5ZzlapZSjaaccfKVHAd5csFnapDBWFvCadfsMRhYnBYscHgm7NATNebXclDI+zZUIsQ4zKbDQYObFumE41knAOgnXOo2IE0Kto+S4znLEKpi98xRu612BpklluCarHI9PWiWimQCkVKJKId+QYCFF78WChlTda10/euN23JA2CM0eHopHhs/FRzWmSEmqMFVTJOHaMkQAcxGg0flTceuG2WzJxUnbxSnHFY9w/ru78bXu5WjfYzpaplTjP16djxeX70DnyiVonV6CFlnj0CJ5FO59ZQzKNuwXQHEhMsbFRtvhsxLMaIporjSfLxkhI2vsXEkjq53EkRKAVY3aLdx2TcghAT1OPW2SMILhGph2UDppsn9vvWWJ3+S1ae/h2vQitEqvRsce5Ri16oi8zgHyeQ+BIwV1Ut/Eqb2IB+NDloLw7YPH8JNXxqBFpxG479nRWLz7SAOv4bdr4IDXTXJ/YUnzt66iATRStekgaAJ1PL9rS+ujjw0H3cuWockfh6Jdr7cQ32MyEnpUo2VqPqKSKxCVVIqHKhdjzmFt+cZaKuYp85LoTGT5r44uX+I8EO6ci0sZNFSh3spsiABL14WQlmbQle442HIkgLUH63HUd0o5LmrCBmpsRzat6DRsEq7NKEFcZjVu7VGIJacVTAQM1RefKXFEVYhVcJGg4XewGoAqsTaEB3NmoWmn4bgtMweTPtwmkoYSjUKFgUlLLMD/wyTIomebWtJazRcy6DW2axFBQBbGzENB/OD1xWiRMRnNesxE8z6T0bJnJe58aSZ6z96A9SECzEW9FYAhDQ7UQJVyHy/fWFmet3gFNJe0etIB5kDLYJOIMWWAnl47JKR3b8hBv3Hv4f7H8vDshJV475ghbntaTAddYP5hA/e9OBoJqQVISC3FrwdOxUZHC+19KUOJQ3WnObs808WDhmSYg3wgYiOr8m20TM5F+6QhyH9vo4CTfxPBwlth6clFcKcG6eOBJmyHURuuhSWpD9x8jJGuiFhS8+ot/GTYe7gqdQKu6jUfzR6fiyZpxXj87e3YJf4tBkRrYJknYdtBybuh4DLYjVSyBzku6sagi0C98Z4rmzdyCTzOU09ck+qfERYvgbYgXOkPoz15J284iC93eQXxnQfhhh4V+NoTVUgfsxpzTwDrAIzcVIc7nx6P2KRC3JhRglfmb8Fu7r1NoHjElVEYbXioNU06rRc3GgQNx7LGAvpNX4M23YvROnEQXpi1RkBM0MhD9ukW97P8ejHjL59hmoPFeFQtIuEALFMrEg5aQPHq3fhJ/0mIT6tEdI+5uKrHEjTt8y5adJ+CPxe9jZWnWE6j2xG5ThiWFUTEoiPPlGZLfFbrieCmGiVYfIv2Yq7Yu/dGfvoU0HDlM8AWEX8BS+lp99BKojR5e38dfvtSOW5MHYy26XmISS9F68wq/HDAfDyxYB/+NG47Eh6dhIT0CnylexHGbjrmpWBSrDOOQ67kF5XQVrgAI/0MNyoQ90BDd8CopbtxTe9StOz2JrLHvYdt7C3jfw8ZM38Ri5sr+e8/L6dNV38EocApBIyIqNkdIRc572zHV3vmIqbLcMSllCAubQzis6Yhpsd8xPecjQ6puXh51gc4zFp0S/mLaUVgETzsvcO0Ekmn0PEH42VU3Z5D8uJlsT8Ajfd8Dmgouemok4kUi4abodMy0lJYqhfu9ra3PoxxKz7CQ/0rcVv6cLROHIXY5CLEZVShae8paPXkPCRkVeNXr00VHc5WZXTss5AMFov62aezVsj0/xk0xIFXJjtu/SF0fKwSzboNRJeyRVgfUKtORBHb4JN9e6ChPL2YB30nbKMfdg2xmBafNPBwwXxcn5Wn3u/EHHzvr+ORt+Ew8tcfxreenIprMsfLngwd0gZi3I6T8jmOI2N0WnzFUVC1pGPPWNlpwKV8ZrKJ8rZLRdZ8AjQeX9e8OS+yy8gH0xjYkkyHmvsbuNhZa2DYnHX4r6dKcXNWCaJTyxGVPRVN+sxHq6yJ+PXQRVhwIiSF9STA9JKA0XCnRgZEtxHjcJ1rHYivhGL5Ux48v6x4jwnxeiX6QZf+rmP45nNj0KzzQPxi8EwsOx5QScNlSikju8D4CoAv8twa7fGjbQ1Q4g/+yUTCaLyK80zifcwBRn90HPcPmYn47EK0TCtGbHIBfjdkDhYeM8X/Qm9xn6p30LbzULTl1ogpOfjfvLlYWmdKwDPsnYM77Ql9lPORxxA0tbK4CBolDJpj9ClD8rm/dA5o/MXHaxdJLqRdc0KoY1lPzbIT/k3mAFpt8FHQRf6KffjhqzPRLGsKrn5sCVr1nSM99e7tPxuvLz+Ad2vCQpjJmWynFqYTEJEsjj4xPTUvw7YcGGETFnu7Eh2CCI2ocxX6k8vVR8DQYqVlxN8/OBnE/wyeiladhuCrT03EtJ0nJD4k1bB8I3vm2dy3QaP0vAsGBEPSJIAlK1pmSyohyGBOghBoRqzpS9HzbA9YGLxwC76cORwtkkbg6qQ8XN+zHH+dsxHbTPq0HARsDWquOBrAHwZPQ/v0AiRklKBd4mA8NnkF9tAZSgnMFirkRWTDksusucp+xp+qKAaMJUH2cwfIp53wPNAISsSWEQecLGlOJoOWBkzLRJAxI8+6Yglsvau5M9u4m23VasRkjEPzXnPRLHsyWmaNwVVJ+bi2Vzl+OXw+8lbvw6aasDj6OAR1zClxGBl3wO5kluUiFDJhcY9JbqnDmmwxS6nbNaGKbITAIWg5p9yljpfJa9pjAanFc9HioSFonzkahWsOycRwPogu5rI4bo3nrCdwSDyZhkA1RmcgN/2gNcS8DSaj09KxpTcxg7HkdMsP16FP1du4PTMH8V0HIj5xCL7XbxLeeHubOOvoe7GNoHQCrY8EZaGM2bwPX3m0BK1TC9AmNQ+3ZAwRrsfg5Snu3mtGYJpeliFrwRnQlVxmSkJeAz30vEMu53/+4zOChpNGm0fVlOzFREbiWKh1dHOM9067+MWA+YhNKUVs1jjc8fws3P3afESnFqFJlxw0TS3ENVkFeGDEHBSv3oNNQUcmVDzEFPk8aHpSgxEM3E03HBBTX5KYmMjEwZProJ9E821ZycAHQUju9OSkd9DioaFo2qUI/ebtFP5AIUPQsLCNJW4KF06HKidZFOKP4ioPw7FZ9sIcmDoYXof1Y2w4sOkk7ntuKuI6D0Z0lwG4PulNPDh0GubvDcq56zxnozSHNBhjs3DMhWT09Zy6CjHJwxCdnIs2ScPwm9eqsarGxGlekcUkLwu2xeg/01+9XCW5QionRuf1Pv/5kDm/a4RcmPiDZeXKYFPZMqgogUU6yFxpuUoHF9Mc6HPhgJZuOYmbn56EpkkFiE3JQd9ZWzD5oIWnZq3Fd/86Htf2KENc8ii06ToUd2QV4qERi1Gwci82BNUc5zpi8JGAZLNGDhT791rsWC7Z/bS6+JqfrsFrolJSLw+vg/GxgQtWom3iSFzdKR9Z1R9gj6l+VX6MMkqlikomCiDeHkiS2ZrEDAEWY2onEHZOoAb1Qte3GQ76z9uIex4fi2uSixGfnIObe+XgyUnv4sPTljSJlGaO5HyyUx33/7Ykj+a0C5FA7waAP+bNRrvMPCRkFKNN5zfRq+pdCe5y4dDno9mBOsZMFeWVcyQ4NpSslwpsLihpeKFnQKPqieJRu4JrDmzEMWS/Am5y0WPmRjRJr0TTrDJcnzUURR/sFnFOkb7oQA2em7UB3316LOIfHozYh3IQ/VAeOqaPR9fiNahevQsHDfUUU2IE2QJNVKGJsONnw6g0omoS1yOTqtiTz0uJFMsOQPXa7fhKrxI065SPPw2bj/U1mpBF0JADsbms1HrzawQw3oywN5tRD9gnYYKACQhZXV5jInP0EnRIHIqEriMQ32U47n6mDEOWb8EOz7tN4LmmAduOIGKbEkMKGtxBBghy60Wvf/KsAzW4vWcu4tNLEZdWjJsy81C54ZjG5djPz9ZOqHTycTloVpNKUc7HJQsaChsOLpHNlajZUtSrFKEkbMImxFwOeaDZagD/k78SUSkTEJ1ehR8+PxrvHeY6hXAeriQSv6k7juGJScvxvWfGon1SDmI756Jt4ijc06sAqTnTUL1mJz728nFq2byIQTyPebCOigclnVQwSk0R9b/2g2D3CZ7v7b0n8cO/TsGVnYvxgxcm4+3Dp3WVktDS+yQxNfIWooj6hKuDOGRvGTa4DqIGJtjrpmLzQfxs0Axck5aLNt2G4YbUoeg0agamb9dcYEq2kPSCJBdkIwM1xRnJD3KjeVvr2bmTHskxOUy/mevRIaMAsRlViEuvxP2vz8Dig7UIiSnP+2FnrjMxKIJFFvCloJe8azhX0jCTzh/D80Hj5wY79FZGYNkBhF1TJmr+/jr85ysL0DRlGtomVyE1713sDEoLISGW7A/MCWUSElMFZu49iT4Tl+PrfUfimqQ30K7bQLTp9Dru6VuA7hVvY9KWo+IQ1HQMkl5WOqp0ky19PAuO4KFVQS9S0ObuvMD6EyH85s05uKJzKW7tNRoz9h4X9wyFiqxcr00tmxL5FXGsOzfZThbaApa99wa8swVfe6ICTR8aitguI3Fz+kg8PmEpNoQ0eu6bwVxYjE4zUZwbhpgu4aHluQQN3RTEJO0+XukWE+havBTRScWI7TEZrZJKkFq6DPtIGyn6HK3QpCFCqauuJYoyUaaXBHQuCBq5USJIZC95BMGiQy835gTFV0z3U/77W3FjRjnaZkzBtY+MxMiFO3DcCyQy5ZH8x59Uvp+EdbcFzNp5GI9NeBvffrIYCUkj0CZ5JK5LycHX+5SgW+E8TNp2UkBG05RJDZYdUhe+xTgYE9hZTxQSD7PkJxOUQRvpJUsRnViIG9LzUbbmsBBudZ3RK89tm5n3rKmf9FLT501Qc2PVxSdspFcvw409yhHbrQCtHxmO/3p+HIpW7gFLc/k+1mmT49HUb5hcuiQcJq/Tv8KDKZvkfWrp+RYf72Xh4QDueWY8ork3RGo1bulZgZwl2zxLj+EFbpDmSCYf/WHSS5n+LZX9/3TgfAI0vCJC42zQaNUBKwboNmEcPwibLVXhyKQ+OWk1YjsNRfuM0bgjZThmbTkoBDnAnXFN9v61YVgRRBweFrh3E3PzOeA7DBvjd59Cp/L3cVP3QsQnjkRcSh7iE3OkL9+j45Zj0YFaEe2cMA5+kHVIZlAIMmuypa29d90nDBdPj1uBDhkluC5xON6ct83bR4psRh2JTPSmVmK0mQY4Qcw9o2bsrcXvh81B6y6j0KpzMdp2zccfBs7G9O218h5RFbR0CDqqEQEck0QoR8i0WcZTqx0k2BAAYZGS/BzPx4PqjJmGAxbuxg3ZZWiZXo2Y5BLc9/wYLNrNxgguQkZIErz4fhoFriTFU+4IYbjEQONF/0SeqMvGK1fhoHhch205mIjl0ikGrKm38eechWjRdThi0grwq9ersfbYaVEVAVpYPCwDhsFYlidimb0XoWWklgE9px9GbIzZegrdChfizt5FiOs6HG3TinBNehG+1rcUfSeswzsnIhKEpKUkq9gOSd4+r6POdhDihqcuMGLxVlyfXoS2nYfgsbErsd9QfwdVG1URGx4dNyI4Bley7tY7LoYu34b/eKoYrR8ajDad83FLagn6VK/GmlpDCP1pI4KI8B4tt1FHo9pi3DFPasbJ98S3pIYD83z5DnUhKrlleixBtD3kIKtsKeK75SI+oxLNHxyMpIIF2BnimDBOR0kmP4EbhUit+SVChT9F0hAyol1FHUms5ayVIh2mOBSO8pkZu47j7ucnIjazFC1TctB73FLsM8hh2ACApWq0aMlJ/O+kSBBHjCTDmBY7lGunBxLF7YaNSdtP4sHhb+HGtBwkJOWiVZdRaJM4Ct9/ZjSem7waK47V4ZCp1hZzcMl96CPRMCtQuHI/buk7Hq07jUSXvCXYUs/KSHbTouPQEtF/0nVFuqwMhPDolHdwW/YQtO82BO07DcM3s4oxaO52bAlREgH1VhgW/UOUUBFbnJDkR1qXwQmlWmJcTVeWUC1xJtP3rJDRLGW2kqUzT6XsuwdP48cvjEXb1GLEpFWgY3oehizZLmqSEjUSqZemS6wSZb/jS8V+ugBomNTs5XJ4veO4OtRuYmuQiDQNojk95J1tUgwf130s2qYXI3fpHkmD4C1K50vPcUfzk7EW2T5bRHktXKk25B7apsSy6D6kFKHeZxZc9ZoD+MugyfhyWg7iOg9D2245aN91EO55tBB/nbEBbx+rl4mn2uLn1EoBJu4K445nZqNFp2Lc/9pbWHC4DifY0YJplSFDqh9JyqfuOoxf969Ax6TXcU23gbgxaSj+9OY0zNpW20DEg0xl9Ux7I2zADPveWiKEkWitCaP3mAlhvD/eKw8CS+ULR0N3kolEQuJZ59Lkhq3FK/bhjh7FkikQl16Bbz9Vjbd2n5AxYDakaXDbIprvqlr/6boJn+rcowqhHvUYu5SJKotnPgx3n6XZzZveZzroUbUczbvmISZjLL71zDTM2XVKNK+4QRhY5uYlEtHlM81lbooahGudhGWchMmSFiHZHGKmldKZr2qLq3xbhHtO7sL/DpiIu/qUoENaruyUG5+ch+/0m4B+8zfh3WP1wnkIHB6rg8BP+s9FwiPD8Z3e+Zh38KSWA3vbLu8PA0Ur9uDHL43H9SlD0a7TG/hadg56VL6N5Sciwl9IO2lRGVYQ7JhuGJRSNhyL188x8p2MWhfGk/iLTQAAIABJREFURUYPsyoUqnNKVo7hue/jd1FiMNZEkrsn4qLn2JWISSpATPZ4tEgsQJf8RdhQp3KMzk1aYBzDS9NPIx5hHzRnJI23pkBiS2eVGubAB4dO4BcvjUVsegWadyvGX3JX4KMAP0/jRCJ96nEVBq16nqLWNuvg2LVCHoUkSpku90Cgg4windsjWwjZ3L1FLZa9DlC0bCt+9+ZUdMwuxZWJpYjqVoyrOg3B/a9PwaDZH2LTYdYGaCpp54FjcN3PMnH7/2Rh7rYdQroJwnUnTTw+fiNuz65Em+QKtO+aj+/2LcPQRVuwy2v3xisjhWWOi03fFLtk8b6pYmkI+MuigffReCBICHga1lqNKoBhwJXq2GvcxLAHE9JNAtFLTlt0PIgfvzEfVyeXI7rnZFybkoP+szfgmFheaqFpA8jPKmf+sfA6Vz0JEdZVJIairBKuFw6HK8yfbebpSCP5nLh+L+7IyEHrtDK0/PPreGHKB0IauZaYO0upIp0TOMhsiCg7qqgdQfDQ1yFqTNIwbVimIY2jxcvLBCWLPMKSCkXGZ3jOrSFg4KKP8OtBc3Ft93Jc2W0U4pJH4s6UAej8cimqF6zBxIXv4Rv3P4ColjciKv4mdHn0Caw7UouZe8N4YMT7uDWzDG06j0THpHz8ccAcTNxwXHhEjXQP5b3yXwQhV9Ww73ngbTCYSW4jy159egooaZVGI4Hqql6j0mJpatoDh1bSKkiECRoGaoUUa114yYfHcMeTU3BV6hjEZFThm4+VYfq2IyIhRbFJD0Ev15nn59L1ypmZWiHAlEVPUHMpngXuz4q1z/i+c0HDQZG+eZxODgDNa70IKgzGVwia046D/S7wxryduK7rSMQnF+K2pP4Yv0q7Qpx0VE3w0sPSEICQk6wcr8yXIltVIKWKYFX0mYgoLdajqckUTcuWvQ5cU3djYVya37vptIkhS7bgx2/ORvu0XFzf7U3c3ukl3PXHx9Gqw3cRFdUcUU1aIOpLTREV1Qw/ynoN/9FvAaK7VqJ911x8JXUIepcvwMrjEeEW9dxh12R0naqDBF6tGIKaMBcXlXiQtW2J6GfOHdeYIIK+G3rOvTidPKtvS/7scUKa3D7fo7/HMoPihqCP6PEpHyE2rQpXp4/H1d2K8L/D52JDkJ5uByEziLDFuJ+LCAObYomK+IMdseAyM1FASh8U83EIXvqx1FXyGfHwmd72SdBIIZuCRuuSOMHqdaUFFLAUEBtDNlKLV6J9YgHiE/Pw3y9VYc2h47IyjjpKZjm59AbTR6OgUf2vjkKChiJdrSqOf0N1p6Tmc/8BrlLdn5sSiyY7JZgScvUwLzvt4tV5H+KB16rx/a4vof23/4ioqHZoEtUMTZo0xZeaXI2oq5ojKv52JDz4Cq7pMgz39RqFnAXrsT2ijYhO2EAd45XsRu6Vk5BD8Pp5EO4ySeJFDkq2HYFwBuycMC8fRiZOvkQ+Q6nJ+5TIvUeQmQ7Ce5B+fpEAIqZu/Uw+9d9DF6Nl2mg0zxyH9mn5eHHOBglpMKOAmX50GfBaNBKuRME0GbfiBRG0TLFgKgXjcgx4qt/tM6HhM77pU0BDU5L/uEo4EBQ/VAz0vDKMr4CQTg3PTUWHjCq07ZaLrKIF+Dis4QJNUlQTmBctcfOzGgmolDlTC64KUOGjMOKgaKNDpnKSQHOQBYQCRCZERRC0uXuuKUBdf7gWlXPX4fu/SUJU1JVockVzXHElpU0zRF3dAk3ib8JtjzyLBwdNw4y1+4Ts0oI66tioo1qSQLeXQefVanPx8pC2tZQcVK92vZfjrMWzXF46XpSZ5x2eNG1QI6I+CKAzk8kxZhpI0LTkPsZtOoWvPD4ezVIrEJtRia8/XobxH+nGsPx2yS+iv8mmh9yLbfE6hXRRyqnjkRrD90JzDhrz8QnQMG+DJ+NgSA6HqCc1GUlUScgYtS1aexjtk4rRNrMaN6bnY9gCVU2++csJZuyF0kniJgIaVUtcosKNvdVK0HDghQuJNmZ6AMFqwDKCsEymPLoIuMqnpOTNYfwriJATFGOWsKYaKZg6G21vuFmAE3VFK0RdmYCoq67Fl269H1/NHIXn5h/AOktDBrwP5vFpKzcHJnkYSa/YzTaTeCWoSYmnu8BQZVE9Siq4JG7xd9JfSeASz7Bkv4gFKAtAJpNqRA+me3AJECxUg1owyPsMI2Dasj/nk1PW4brsKsT1mIgWSfn42esTsfK0EmLXDAIGd3thHT0k1MCSaLFnmYguSWt0YqqLhDNHgtGYj08FDW+LE0CJJ/Ja1ngYjsEoDbDfcvHY1I/QIrEMrZLKcFffUkzffEDd5LKRl/poqHsl3M8bEdCcsSR88S7PHkgFaN7kSzDSCcG1mK4QlngPCTgHgY2lw1Y9LLNeRDDBRunGY9mxGnz3oQxEXRGPqGYdENX8Znypw32I/klfXJdajjufnIAHRs3EmM0Hsc/VOBitKmkcSUuJOTWcGDrTTAY1mRCv90NznufQng709JIuM+uPQOIhcJBxkPHj8AlYfIlN40BzhGS/caMejsUtF3WDV9vRGNi6oIUHchchPqMcLTNHIyY5D70nfiCAospxQ3VwwwyKqoOT108gSwUDx1qMEOVOnxto/BWvqsUTciRVDBTSbK0N4VeD5qFV9mTJkPvVq1Ow+hilgfJC8gHhiLQ0qH+9tEnlLKpkfdDwHPwcv9c/qKiY8igWF6sXbA6QSiLmKIcY0OOAOyGEjTBOWbZYPzMP1+ORggW4tdtriP9ZFqLvS0Gr+9Jx3V9ew63Zo9EmfTziMmhqD8HtmUPxyJCZqFpzDNtN9UgzDd1hzChyEjDrZHse2d6HbUU8ck9J6nuSKHeY1kVlowRdQwQcv7NBI2reyxLgaDJICm7oynN4IQKOEdNpQ47Ww8/aFcC3Hq9AbFoprk6rxk29K1C55oBIeW5NZEXo01L3AsEssS+SX+E0TFhTScOFKGqtEUXNBSSNopSTKUTOs3wcOywyZ+6BU7i1dyWaZ09F064FyCpbjCPiAdUrI1mj+qUup1g+AxpFUwNgGE3wUlo4yHxdVqYAhm557kxrgkSPG3FRNQrA6HCUbQTD4szbZbkY+cEBfOev1WibMhLXJY/AN/qW4ltPVOPm7qXokFGG/y3fhs7j9+Cbz09Gh/RhaNt1KK7tWohv9axAyqjZmLXjKA5Zuh+C5PeJj4a8Qfs8UlMZYipzIZA7KNmUBHAuDILhrHvh/egiUuJK2U2W4QNKpIJZq8BhrTylBbc69Fq3MKj56sy1uDEjH7G9p6N5ahXuf3EClh3RWiu/ZyFBQd8ZJViDd1rSSPzzkyw3rt/mgqBpuGlh6toMwLIjoDk95N19aJdegivTx+OGvmMxavlWrc0WkPhExecyYsc3+DX86xfN5zF7Ork44FoDRPFKcU1CR14F1EVc1JoaJhAVRi3nEeMPa008OWW9VHtGJ41CbNeB+HqfHAxYvhsvLzuNOx+dhPikEjxQ9iGWmMC0gwFkVSzAXT0LcUNqNa5JLEaHxBH4Rq+RyKxYgBm7T+NjxsM8E5lgpRlOy4SSVtSlEQTCISASBiIEN/d/IpCVwxEsZw7la6TNlAZUFwSOqGuRCmEh/Xydh6a88jPAjoCNlPwFaJ1eiZge05CQXIzM8nex19GEM7GoxH/D6yOQPVNbm9R5Q82R+geDxjcPG9SGFM6rk45rZWfYQeboDxCXVo4rkspxT78pWHywXm5YibMHmobY1Xmg8cTk2aAhoaMDWdpLsdGRbOJOs1VfohOMG6+zSwO90jWOcpGlB2qRPGoBrk/JRUxSKdqljsIvXq9C1fp92MlG0XttfKPvOLR6pAA/6Dcd7wW1c9UOF5iyvR7JBe/hGz0rcF23YUjoMhBxnd/A3U+Voc+E1Zi7/zR2Gzo5BDW5mQAmcgqIkIx68j9kwuXBSDrBJdKSl662FA0Kqi/NTlbQqMqgBFI/GDffIGAIVNmNVzig9vOZv/MUvv3kWESnjUFs+nh8pe8YjFq+Q6y/OqacSFiHfhrPeUoVJXmChCZ5Dg8ObuM9PiFpVJipt1HZjCY6UxLwxladDuN7z41DfEYVYlKL8efcBdgS0SyzBtInpvpZEofi4rzH2aChWUvg8GPq0NCSBMUdJ0ecKGLNcWAZUihddxT395uEDl1GIr7TCHTILMbD+XPw7uGTkgx+Cg42RID7nq1GfLdS3NF7DBYe0SI1Bgp5sORl4oZjSMx5C1/rUYBrU0YhrtsoJHQbha/3rkTvMWsx/+MasE6bU0HWJukKnARqg5BLA0/nJeLADltqeYlvRvmcOi+U81AJEUSU4gQOn4kz3j9VLyMwIXJmARM3e7XlOlljdX1aIeKyJiM2uQT3vlCFhUfY8JEReLXCtNxG4/w0F9Rk8C/uHw2aBhOZ64NUTyeUuGX0efL2E2ifkofo5FJ0zCrA09NWSLCQ75OQgWdail7xyItwmwuAhuDxpZrwG6oqD0QsP7INA67BKgER6vg47ODlmZtwW88qxDIU0GUQ7soagednbMBmS62bejuM045WOf7ujTGIScrHddllGLfZa0cv/TN11RMMe0xg7Af7kZa3AHf3qUBCpxGIfiQX7RKL8P1np+CxCWuxYH+NkG1fjYhKJc8hX+fsN6wCzzMrK1z9Np7XS90Y4lzQcfWBwwXJe2f5ToSCQebAQthQp99Ow0Z60buI7ZaH+KwqJCQNQ1LpAmwNWzhlmpLnIya8cKPzYCnz8clFe950/F2/flLSyCrRIjVaLBwkXxIfcB08N+0DtE0rF/X0zccKULl2l+T+0hzmzfq0Rn/W18QaOmtclZjpKPNn+mmo+ggLcSPSKqBHlrGZiCGt5rlWPth3HI+XLcANXQdKtlts1xH49XMFGLd6q0gNlotQfdHSoe+CSeqZVXMQkzEcbboXov/CbQJw3hP9QPRWs3qAi4PffzgCjF+9Cw8NeQu3dK9E69RyNOtaiLjEXPzwhfF4aeZaLDugaRNc5XQOMo+HoQECX6kDVY4m4suzkGTlKISQOjIpcXyiqtJGeZNKWz+o6Tc54p7h7+4P4t5nRyO66wi0TivGl7PyMGDBRunYTvBJWmlDainFtqeeGq7r78LF33zzp4JGbtaOyMByEsnUeQk7TBN/GjIZrVMrEZ1YhJ++WIo1New7Rwb/STQ3LL4GwChEOHQ6zL6MoWtKqwokTsx0UNeRZgOcHGb2jVt/GL9/ZQw6dnkd7boNFiupc/G7mL39gEjAk9x3kmWzjBwb3BXFlaZLQxaswrWpbyI+dQiyK+aLS14mmll+UqBGwm3JPt4MIvJ+t4aBnBV78D8j56Fjdj5iug5F9EODcGNKAX783BS8Mv0DLD10Sq6L936CoRWpcydPYeyH36meWY0HnRW0FPLvMR6a4YyxMTQgWQGcbH1v2NT2unWsOrUVoIWr9+DGrFzEZlZKKsW9z1Rh9vZjutC8BSeLXMbbh6gaDX8TBX/nH88CDdkeJYMnXs8GjXdB7x4J4LvPlqNlWjWad8lFesFUGbiTlAgeZnyg+M+8HkLE/53DpZKHr3K9UbarjNEq6CAMNyL5uwTMZhN4euZG3NG3DK0TR6J1lyH4ap8C9J20EqvDnnPOX+2eaiOAGRogAGas24I7MwYgrvNr+MvgMdjtdb7ge3hWtuRnngzJomnQ483kBi0AXHkyiGHvf4TfD5uJmzLykdC1GNEP5uGmxEH4Tb98vDbjHSw7rGqL1yqNmqiW+M1illPiCEmRQaAU5jKRRSPAotlO4DBHR/f9JMhs0wIzGmlKEzSG11dwp2kha9z7aJFYiHY9JwkHS82djq21QeFcVLWUOrwCAZ83uvzdm55Ph8ff/OMnPxIlZExOwlWiikPYtuwHwIJ/ilL1VBavOYqOPSrQLGsq2qYVYtSi1bLK68g9xBtAfarCXuNNnAxl8LSsGEPiTYkuF0NDgWN5m2qxf65h14vLjPzp3SNhJBYvxTWphWjVbSRaPjIA975QgbJ1u0ViMAzAyWI4Vc5P0NPytFQ6ctW9vXs/vv1EDuJThuEXr47F2oBaKawzIjiYVEbRLmrDocRjVq8D1mRLbIp50DUGRi7bjj8PnIzbU95E/IMvok2X13Fz2kD85IUSDFzwIVaeCEtaiIQmJGmKLUkYI+L927CYIy2AoO/JgG2wIRKv0JW0YoJE6aQjiV7kOH4mIp9pANCx+M7RCO59eQaiU8rQrvcEdEzPRf/5W8VbLN/GL2HcTrzosqWI3Cfnmd9JhaAUwv+BQoISzpNyXhCZ4FaA/y3QUB54oOGXig3sMM2QznIOiIs+kz5EbOY4fCltEr725DjM3bJXAEDOo4BTBxaBI+tYTAsV1xTDfB+5CpsbUuSKsrINyS3hNj5Bm2dyZADGrtuH3/SfinZJ+WjVeRQSEofjTyNnY9beEzI5BF7Y5rV5PlmCkxKDIo/A8drtrzxxGve+PhqxGXn4zjPjsOCATgAL2ggaHkzcIFmVCiUvsEoQMbOu1mt5y9SF94+cQuHS9fjz0Km4NnUk4joNROsHX8GXUwbip38tw+CFG7E+rNUGx2wXNbITMEtlWGgYlvIbhx5uy9CAo2UhGNYGA2x+IPiS+WPduYKZ1ydGNONuXi51wZq96NijGC2zRyMmazTuYoeMrer2kMYF4Xq4VkC2f6YdJYvDM2jEK+DNlxorlIQENs1BCg7PovMkFpf1+Y8zkoZKw9uwk+0+xA5kNBVMfrKww3Dwo5cmoHlaNa5IGYtfDpqPTTWcNN901NVKOUNTXeUNv1Mdg2xoRM+wZUWkXonVCaFQUGqQ6N2tN8MiNXbawIBFH+OO7gVI6DYc0Z0H4easXDw2aS1W1GkjIa66kBWC7bAwzQ8Vet0exKxR/w6BxTrs3+bOQIvUEbilVynGbq6VVctV5Es93qW6+v3B4wBqXi5VBP1CjO9Q8pBfra6JIGfpDvz8hTJ06Pwa2nYdgnbJubghowD3vzwBo97fj3X12jmM46N2qIKH6RChiKH7XJHsG/Q6U1QzUMoyGO1WwTCKVLQyaCvdVWnuq8raY7noO34F4pKHIfb/FfclYFFdadpkExHEfYuK4oLrZDrdnb8zPf9090x3MtPdk066n7+7kyhIFYssJQLuSXcmnU0FEQFFENkpNncFZXWJMXuM0biBChhjEk1Q9qqiqHee9zv3Qolg1J7nn/I53uLWved+59zvfPv3nfAc2ZD1z/FlOHXTgnZSWxobZQ/RLjRrNiDdFnYLpZE/uHo1jqBFF4oZ4G6RRrgtjUWq7oesDrImYnpFfaNU6nQ1ZmNwsBkBOe+JJiJSicZ6+J3rlTILEYd/d5+jsCkGKPpcmBvUBhvrzTlsIgKTHX3YaIF/6kGMD0iDp99GDPVbh5+8zJKy50U7YiB7M/k7QyXtTbB1MmuJLEWxRYndJQ1W4SxCXkkh/HKq4WaMw7iwzdhw9JKQec6Xgo1Ukstbnzil+UjEIPd3Ynot2SBLjXQqGYoskXae4zdakHCkFr96fbsk5g2etwHDfRMxPTQVz64uxua3L+DkTVWKhaxFKJtE7jFqTxlMyb4d4i4heaQ1XAnRTImRxlgmJgTaLYJUyhDowPFGC36/YQ8GB2yEZ0imuE7+uvMTXGV5NlFMqBhwvhxiZSYHun2vUKXdkuLcou3qJrZ+HBC3UBqhTaRFwp5s6GJUmcMu1sc1FZ9ifFg6BhqzMS40C/HHGmT1MRNQNo7QhTxhmMqwxZcibESjRiT5dm5+bmMlrFbYO1uENVxxAAVnG/GbmH0Y5UthNxnjDIn4XUwxKjUVl9SFifvtIhiSerXDymwGzRFISiHUgtqImP7VMEgdlpd+As/geIwM2YRlOz9GI8mM4sZqyDrSCJlWQiwpI6kkzQ4WyctWzycMVIGJBHw5rJhx7Mt2vLHrA/xseRq8A5Mw2kAj4SZ4habhj5sOIuPEd6Dnmoim2KoFHUyLsbOQdzscehispMkQWeg41RvzxXiOBk4asEiBlP1m25kvMGt5GgaFpGHUojw8tjQXhaduCEw3aHAlAtGWxIWkUTDy7R4E6ZFxuIj01vN73xLyLUgjkyTBT2RPVjhsrBHVhQtdwLy0cowMycbgwFz8YLkZR74jv+dLVA5FHdfkVYkGQZoj4oUIdLSfUI5g/g4j7K1MBuNmGK12rD10CTOiszDULxEez8fCJ2wzVu76BMdvqqAuKQJAYZJCK1cqBUzxSJP4K2TRkYZUQ3BAZAP1clNOfImxpkS4B63Hnzbtx1WSDn4EeXTpkDeQLSmkcXDFa7RIgt21/lhcosXGXC0VL0SvO6+kT+7dq+14ZeeHePKlAozh7jMLNmOEMRkTApPwQsohZH32Lc5ZVKA872HVDXrquzqb4LAz35PefFb6VFsBMNWYSEsE6kaajg44bK1od3SKMrDqwHGMYr2/iEKMNJnx9Bs7RSjnEIljFPNEwNMomBqfQhwdSXofeygvb74dcW5FGiaTUWsSrFRGKgqJVd/Y8JPXt8MjKBcjF5rxwsYD4tuRMIFOq7jpiZ3y4UHeGukMaYt6N9RS6MGlJnBDE+hOfNeCJTmHMDEkDe4BmfD0S8QTK9KR9PYZyfUmORf1lAFXkr/NQG/mR6tN4BkiIGOSR5PcKy+P+MA4XmpRAPZ/1YEJpjg8uGA1fv56ARpIIvjphTQqJJUjdm5qHDImxiwzK9TuQLONQVtd6LRZYO1oBmNhWh2qWtahryxSyOCx6HSMNmyEp28ihhpTMCl8CxbmHkPxma9R064iDinGdwnVbZKiS1ykwl66hXRSACuIxCxnwnlmaEVbF6uQOfBxcxeeSSjBI4Yt8AjfhlGGZCzPfxfXbA4JD5VwWVrT6QSmg1QWRQ/ScHR605FHxiqmgu9FGo2nC91WtJsvjGwh49R1eC8xY2BADh4NzcEbJZ+JQMjBMRWDsR1C0rR3wRcpKbiaui0ZggyrEG1ECZM7zn+LZ9bsxJj5MRjil4RRhs14dsN+lHzRLKmyREibViRIXAiS7Mbg6lYxOlJFJZ92RhplHCDiEACFFFQ1P2ixwWfpejzgtxo/fCkLJ69Ry9Nwm8+gHKdFD1LhZniVjanHonyLsiqmAwa3d1oY4K4suhYbqV8XOiztaLcwQFxpZISdbKv6SgsW576NHy7NxIgFG+DptwFDfNfCJzwRAelV2H7+GursmgmAyMI8K0YF0hLvUMceakN7DuHiFmLKD9jcqXxT22u+wZxVxRhgzBWf4OzQZOQdPa0sYFT/bWRvWgk2sj2q/lo+m44wsjS6tSpnV0g/lIY36PYUJRcQadRCJB9euf+U8Ey3wBxMX5SN7SeviX2GNfcsNoYLKAMVg5slplaccF2qOoOUPGuXMqqc/ovtnVh/6CweX5YNjwWbMNg/BbPCU7G84Cg+auwU/w4rTojQKPsFKEVO9rgWobBDSLhuQBU81SmN5k8mAiizgXKBfG6x49fxhRgQHA+f6DTsOq6iDIV8a158PYyTDJkpvNQLlUKvqI4KZaCQrGKXVXkSDU6NKnQzNHFR0EutNKj9NdcRml6Of1yShiF+cXCbtx4jjEmYszQLIQXvo+DsFREBqKFxV16pjmFnbhgrmhMWaqikroxnUrHEsmA1oybf0esVlzA6KBtDAvMw1rgZz72WhePXlabIzTooPyn5jxoszRw9rgy+f53oCscQqVnXqr4XaRjoyQnXTNkM7XQAv1q7Ha4BKnX0n18uwIlGlYPElFWSZe67R8SxWW3oYCYiMZaAEDCeJ48GcKqpC5G5R+G1IFZKnD3y53V4/OXt2HT0ggRxcSKaWEKNYQJ2O1pY2EgzcnFFsxCRCIlSsUEhqE5plIOCMSuUlUh+1TogYlzgRhfFh+GxMBHjwzYjseyEUFCadFTQunJi0LTA2ER6s1UcsMrDZswgWZeSedSK52rViw9RfmATCYvU1a6EW5u9A61SWQK4Ygf2nr+GcPO7mB2VDo8X18LTP0EQaGZ0NkIK3gPz4llVTJCEOVedHWBqLpGPC5QVdFrRAcnPkvlV4gpf+uk24PmNRzAiIB3jTPmYHLQJEVmHcNmuzAUsjiCIohWG4riJKHrjfJE9ybvXhUIx+unso+coMo1OaSgI8+XY6MOxq0CkQ1+1YmZ0uvDMMSGZ8N9chW9E+GMEP/Ff8Xm7rQMdHS0i5JLXEyiuvJt2pZ6W1F7DszF74RWUjFGGJEwM2oSn1+zFtppvRTtjuRCpskXBj4imTbaojJxIDojILyZ3Mg6uPg07NelJD/FWVIkRg4pfc+OP1VWfYlhwEoYbErDSfEg0GZr9KUOQEdHzpZCG3m+9Jxoc6NDkOFVTyEMST+1Gqfq0n4ipQdJsdGFa5WFbbKQO9GorzzbDOgo+vwy/1Eo8tiIXnixwYEzBEP9E/HhlDqLyD6Os5iquaq6DFrtd/FrNdivaHa2wSAlbJR9ydz7aZChnkTJXf9mO//NysUQgDA/JxZSQNGx854JQ7xuiiitDH5GS2Q9Eei5vUR4EUZxVb7H19mCK0zcnpOHq7EIHjU8sW9alNI+kI59janQWPEOzMDZgE+IP1ilVW9wLlOzJ/4jxFKAtsNqYVGcXZKF2xcpXG9+pBSnUkBfXY+j8REwMSEJY7lF89B03AuXKotqu9n1iMDdlB7VrndqhiStNrWJlreTqUAZEhTQcu5JJSBFogeZRCeFELpL9Le+cw6Mhm+HpuwFBW8pltxgiTU9QuAoOp+eb6KH647HnG+U0QQ+JkmuX0m1KsNSsUiLDcR46YLe1qTRjUmPR/FgKhZoTPWzAJTtg/uwK/FMr4B0UjyHzYzHUP0GO//QXM6KL3kN5fbMsKMpITQ5WQ1UleGmplixN2e+BwWE22dGFdqz4d+oxJnAjhiw0w/X5ZDz5Eq3gN2WRXO/sQqNduUjaWFBSkEaTZQm7mBwUa1dUR3EMJ3yRr71nGB0+AAAYk0lEQVSQhoYsFcJDKsE41cj8QxgdlophphxMD9uEyivKOUYrpawzcbSxL7ILq2x43uRwCHYfu2bHsmKmwabA88V4DPNNwuPLCrD2YC3OtavVwf0BmAfU1tGGdqqTFFa4gsSCzDo4pANc8YpqaGKpFpui1GtSUbXmiVpEPlULh9dyBTJMYt+Za5gVlSMa2rPrduBEC6kLqRUZWqcImKSyNJ7JZKpFqAn4ZH49/0SbkU3UdKak2JdQIUJClmLlTKpOpE5yl+YaoOugvV0WJ5WM880WZH18AX/eWI5J4alSMtbTmIxRxkQ8sTwdy/OrcfjyDTGk0q/FBSAsm5EHolKTMrfBauP2QQDrH76YUgV3340YtrAIw3zTEZx2BDUtVjSyoFKnQxY0E/aIzArpNQcrTQ6SjKctTk2fuCPSkGrwwZx6tuONVvw+dgc8/OMxJGQrfhuzF6c71H4DRBCRHoiSZAOdrGppFaMXNYfSy+34z9j9UhFzhH+yFBj691eLsfu82iCLL1PyosRS3Cl1Y1otdrRa9eqbIl11W2r5QnTtSGMKypIrlk4lKIrkxMQ++nk0bzUtzQyF+PiaBU/+ZSc8fZPwL69kS3UthYBqBxTJWBSE1aVCZQBUalbPtFHrIltU7EZBxP9VUCdTZjvR0qGKLZL+CNpQ2LYwNUbFPnda6QKhhqSoDufrRGsntnx6Bc/Fl0p94tF+azHOPw5exg14YkUW/mv/5/iwEeKXI+I0sj6PBDjy5dNq3CzbnvC3t7/twNOrSzA6MB8jgnbBJyAZaZXHRaPj9s/cl4FUljWGBGm0WGUVZ6zkQS5Szg/H2/ujURolMJA98ULGz3AN7T77DR5bkolBASnwDEzByj2n0EALI9kFiyvTQCdps0qg5MphGbLEw2fxxPI8DPPbCI8XE+AdnIKIvCP4rLFVtC5OulL5lDBGWwKho9zCmBj2Q+QlG5JZp3AiLIeMTJMtxAKs7iNlIC0SgVXM75Q37FJaluyACHqmxYqnX98jNfR+tCIdO859JQuD99HLLhmd4gPSIqo4W6KXazA4zZxOwRSlUqxSY1Aiy3ExtNgUO6Ifh1K5GAttNMypHGsG6bMWIcfJl0gNiJT9eFM7Uj68iD/F78ZkYwzGGjZgpGEjvBcm419XbsXqPcdx7CsrWH1UJftRZWf2lfL3X2n6BmuyCzD2F4GYZMzCo+FlGPb8RvxqeSqq6r8W/xnZHZGCiKsCxejCoPuCwXdq/OJ/6p/SqPhVNTBlsGIgEwfzVvkZjAw1Y2BoIcYvzkXeqe/kBci7lCrbdsnVoRzEAXzQ3Illuz7DtDDGvqRjhCENUxcmYcORGly2qvQNCX0kcmrP4MTrnlfiDl8IGxFG56vKN0Jeq2l22lFeqlxI2YNMRtlodJsRLS5UoTlJrO0XkHoEo+atx/SIVGx6t1bOW4XNUm6heZ4Ug54z9Ww+vyecgAtLGTwJh0w6J7WfxmB4Sed17kwQXSQ45RoQvYhSFUMYuKuuCvWgv+yTZgviD57Gb17Nho9xLbwWxGC8fwImB2zGL/6yDWsP1eOdZpvEB5FSUfq7UH8CCwJewKCho+AyZDbcfh6JMUYzRoXthOeCVPhnVONkK7VDIrLwdEkDkfxwyjM0H3PyyWbou+Xg+vi4KJCVhVCxGRW+yH2JXkiuxAP+GXAL24YpEblYv+c4Gr5mGQ3VE9MtOFAOclfdTfzH2h1SnXOkIRXD/TbhqdX7sL2mqVuNlBxE2iE0zysFQlIBwkmZ7F6bII28Nb5oFbZJHNIUAbFL8HUIBbQDf9v1GR6dF4sxAZvw0u6PRD5QmpKSmihbKdbXg7w6AivgyPO5KpWweK/wEkolYpPW6loWS/dzFrj3k1VkHSI5Kc9VB/BpiwVJhz7Hc2+a4R2YgGHz12PovASM8EvCT1/dgZi3vxDv/7ELF/EvT/0cLi4uqg2cAK9fBmFudA6GhW2H++JSuM9fh9Xlx0U+EpWb4RfEE21xUMSR1SCDVtyn+2U7IU830nBSSJ2ZJsKXefSrRvzstTw8vGATxi3ehiHPvI5HRv8UzzxjRGHBfnx1o0VW6lmbA5s+vYgfrsrF0PlJGO2fhKlBcQhO3y9VpUiBiJiyfyTtNhrr4zM4OTqJ72/F3um8LvzrsT/EFjlHtiIUiHYd0htl3s/+4CtMnheHwX+Oh+/mA8LjiVBa5V8RivlieSvv0Zt0xYXCWe1Sedh3gutufhMjmvSnqJf0K8K/qnTeRFNFp7Is06H7aXMn1pR9hJ+u2ozxwUnwNGyBm286Jgbn4A+xlfj3sFi4jvCBy4PuGD3RG75L/orqL1oQ9349xkdm48GQQrgHZ+Inq8zYXfu1jP0bG7UxtXBpsxKqKsYDSmzKYXtHpOEgyCboG6LwmPbhGUxfvAVjF+djiikbLnOfh4vLSLi4DMCDj4yGX+RfUVV3FSv2HofXwjjhuyPmb8JjpmSsLvsEdZ30oZANsTRHm2wQRnJNDKdpnEI0XydJs6iy8sJ1FnR3R/EjUHXq9pXpoZU6z1CrmUyLSFp+8Tv4GNfD9U/r8ZvV21FnVZt6NDu4G4yqpklUYRwL5SQ2KtnK4KWppiI8qrozil3eHaw6ayVCcZ557OFtRBwaSC1SCIDxTLSTMaKQYgLpEN8JPfYnWm147cBn+NmrxRjtn4IxC7ZiijETM+Ynwuu3yzHsyT/itfwyJfSSLXcBEXuOY0hoKsYuysOIFzfgudU78HGTqsvTJNZrRW0oU5Iyc/MC1m4l3VWivBOZYc09Z/bEVcqVzw1MXy49hVGB6RgRnIfHTKl4KmAVHv/pL+E6bDRcHhyOQbOewuPhCZgWsgmjfOPxqF8Cfv3GNuR+dFHYlU3q6DUBXS2SgkKhi5ZhGsW7uTcLNdtbeoQwvpB7bRSQxQmnk3uFjkRJOU86x9gdhjB8cwM/WpKMgfOT8PNXC/Hh1Uahdkw6Y+kS8c9wG0DJr9YCw0Ut1amBzp7uA05BNmW610QGzSBIpCRCKvjF4i1xR1SD+Vz+ppVeEclLUZ+Pbzrwtx1H8aOwRMwISodPeCEmheZj/MIt+EPqISR9VItPmlTQ/7uNzXhmw27ZrMwrYCum+q/DG/s/QX0XA/BZIo5+PC5omlw60I5mtIs0qGxdt6JMb6Sh19Zhx6k24NnEYxg4fyuGB+fgmbeKcNZix4mrXyL4rY1w/cEfMWpePLxCsjHWkILHIjNhyjmCo992iDGKq9rKWBGHRcqfMsWDZJCVGdr1CGBut0eEoU+EAqhYU1Vg0t1+VxoYRWtlmFQCKiUnZYElkpKKcaMLIs3xpjb8Lm4P3A0ZeHxVAXacuChyzXfU2oR1KmsQbUTdPiahwErb4/PuFra+rqPlmAjDhUkKwsa/CRt/E5mH7glrB+y080gFCIu2YzFDVehDUmGfpDpkrUFvpmDIj5/H6OdXw31eAtwCUvDw/AR4vhiL/5dYhZT3v8YJOp3rr2NapBmD/TIwNigDcyKSUfT5VRm/uH3E2EerlbI5q1oY30NpKNxKPTlHJ8prb+IfVu6BW0AePIPSEVH8Ac7BgVMWSNjlsMAcDDeVYvLSMnj+/k38IjoJHzdx7yKlBop5njYIu0Oi3b6yKZmCv9O3wygZ2hUEYYQFqMnjBN5L46TzBfBVy2LVtC+ScyIuA6YYQUnXA/s9b+lEWP6HGGLMlWS75CMnROBk/WLmTJGvi6ZNFVljIbxPf47+su8Fxt7X6sji3KferyAPx0LOJdZe+rGYpqwhDNNarECrlfHLQP2NG/jnp38LFxd3uMz4GX4buw1PvLUXg4NSpTCDh38mfJYdwHNpH+LNk43wLW2EZ2Qp3Llf+IIM/PqNffi0SY2PC06p32oBCpWTWaNEd+tH2BOdc6J2aQDHV5+Eh38qXEOLMTjEjPiT36Dkaxt8N1djUlAKRoYWw92QheHPx+BBn19i8uP/F/uOvS+PoMGKQVZMX2VZ+5Yum4QcSv0XrlSxo3DzL5aC5ZM1Q70EHNFQdfeNFlxRkvmGuVw40eIG4HphLRjaR/gGLFLb7lpnF17bcxxjF2zGFEM81pe8I4jOMvdctaJuC5tQNgsV36yCv9iXssXcPXy9x0Kq59xogGS/0pSDQuQoeYH6S5RAdJYQYeVTB9qsLINPmgSUHTyISTOmi7Y07cdP4t2rjTh4tRWLiz+SqhlDGH4alAHXeZvhtXQv/mlrDUa+9i4eXnIYbosqMNw/B6/sOS9+LgaVURPq4k5tXGidzGggyvOHWz+3IA1X7DU7EGY+CpcXN2JAxD6MXlmN4JIv8R8xh/HogjSMC8zGRJMZL+R8il8tTYDLwOF44AEXhEZG4XoLy/3w2VbYO1sltrWTJTvUq1W6MFU0jU9T+qCwrIhgj5n+Xr7pgqq2PDUjoIQ2KarBeGdbKxy2FqmklXzwFCbOW40xzyxBRHw2vrDYRchkUJOd6jTlIxq6iDxCw/iClDgo7EP7615g1K9VL4D98jl6/2RL6kli+1FxBsraTcQRGMhwGV/DlCJlfOVrzDIXwHP4KEEaoykc19u44wRQbwP2nL2MxUXv4/FVWRhiTMTA4Ew8ZCrCIyvL4LLkMB5Y/DY8w0oxJ8KMzPcviWmQtiUWMrC3O2DvUHlgZLO9P91IQ58Lh/HutRb8a0wpXIIK8VBENTyXv49R0UcxYL4ZQwLyMNGUh6jSWnxmBbKOfgL3cbOlVNmPfvE7HLv4hQCtSDp9S0r6162yOmkmOaa6TXWc9ghd9eb5e2mkDrSD8ujcN/8WH42meYgFW3vW7rob+MOGCvhuqkbme+dxWctv4vVkaSRMEjKhsUr2S3bn3O4Fxt7XqrnpYXl8JjUjjoMw6I1/iwtEmx+e1+UY9slPck4xXIexVJwHwl9Zh8sWFR7LeWWrY9neuuuYb34f45bm4YHQDAxYthMDVlTjkeVHMCBsH4YFZOCpv+bik29V3LEgLqP+JCRZUUHtcd2HbqQhRnEAReevYtrSQjwSug8Do9+D25KP8dCiI3BdVIHBi/fAt+QqMq8AFdcB88mrmP27pXjY+2m4/sOzWJV/CO9cAw7UtOFIgx1vN3TiUF0Lqi+3oKLuJsrrWlBe14EDl6worbdiX4MV++otKKtvR2Xdvbfy+naUNliwv6ENFfUtqKprRmV9M8oaWrG/oR37LjajrL4V5Reb5NmlV+zIqXNg/WkrUi85UHQF2NVgR8klKw4QrtqbOHipGYfr2lF9qU1gKq+zCMx8VkVdGyrrW1FZx3bv8FbWtaG6vgXVDc2oamhGRUMLyhtaUNbQhgMNbShtaEdJd7OgpEG1fQ0W7ON46jl/rThU146PrgIrUvbDndVMvf8N/7kqDQVnWlH9JVDe0IXSSxaU1rdh3zUHsq47EHjkCia8VoYHI/LxYORePBhdBtfoMniGFWJ8QBKW5r0tsTdccHSDtHYqh/LtEo2mPVGyoPj1bRf3gLyA8YEZGBS8B26LquEacRADlh7CQ9FleGjRToxdsRc+y7djzrLdmBW1FxMX7sAY/zyMM6bCJyIdc5cVYXbUDsyJ2oPZkTsxN3o7ZkUXYEZULqZH52JadAGmRRdhWlQRfKKKMCOyEDMjC+6r8d7pUcWYGZ2POZE5mLs4C3MjszAnKhczo/IxK7oQs5cUSrThtEW5mBm9A1OW7IXPXyrhvbIUU1bsw6yXSjBz2U7MjCqAjykbM0zZmBmRg1kCE2Eshk9UIWZE5WNmlBmzInMxKzJP+/3e4Gafc6LMmBuVq7U8zI1iM2NOdD5mRxVIv7OiOF9F3W16dDHYZkQXYlZ0EWYtzsc/Lt2GGaYcjDcmw2vhFsl8mL2kAHOXbcPcpdsxI2obZizdhanL92DiS7vw6Cul8FhWgocX78PD0ZV4ILoKrsur4RG5DyOCszArOBGph09qHiz6ARXnuZ053YI0wBctNoRvrsLYeQkYGbIdngt3w33hTgxavA9uS0oxgDuhhRfB3W8rPHxz4GHci5HhhzA8uARjQoox3JiGwYYMPDIvGw/5FWKgcSfcDEVwDyjAIGMOBgZkY0Cgaow39mAOlSEbg425cDea76sNMhbAw5grdVuGGrdimCEDwwxMkDfD3ZCLAX4ZcPXPgeuCPAwyFGJwYDHc/PPgajDDNagQbsFFcDVkw92QjaGBeRgaYMbgAMJSgEEBBRgYUAS3QH7Pg0dAFjyNmfA0EvZ7h5f3DDay9IkZnoY8DDXkYqghB8P8b208r64xY7ChAB6GAgwyFGCAbw4GLsiBuzEPA/0yMGjBVowMzsGo4GwMN6ZjRFAWBhsy4eqbDjdDHtwCCuFqLMaghdvgHlKIwdz2OqwEbqZyDIyogEvoXngsKsXI0CKM+OMaPBWdhHcaVEEBMbxqtYi7+ZL2pZs98e8zX17Dc6sSMGn+m/BelIcpETswZdEuTAjdiQnhuzAhvBATQjIxOTQFUxflwMu0A1PCdmGaIQ8zDFsxKzgN00IzJfh8rKkA40xFGB+aB2+TGVPDsjElPBuTFmXBi82UBe/wTEwJz4R3eC4mh5vhHW7u89j/b/nwMhXCy5SLyYvSMGVRGqaaMqRMiHd4PiYuysX4iDyMjyzE+IhtmBhWLM/yDknB9IgMTI3k/bnwNuVgqikLk0N4by6mRhRgcngRvMKLMdFUDK9FBZhsysMUUyamhWXIOAhrf/A6n3f+PjmczyuGl2kbJpuKMMVUgKnhZkwPz5W9GmaEZsEnNAvTw7IxLSwXU8P4jHzVTPmYvrgIk01mTIoww3txHiYs3ALvhWmYEZYJn9AMmftpEZyLHEwy5cAnshCzIooxLTgH04Nz4BNSgKkh2+EVugOPhu3BhMX7MTpsB8aHFMDbsBE/8H8D/5W1G/U3b2o7z1BgoVR360eQhiYdfr747ga2HDiCuAMfIaa6BqvLLyC2vA7rKq4gtuIyVu+vQVxVLWIqTiKm8jTWHW7AuvKLSDpQg8SS00g6cAZx5WexuvIc3qyswRtVtYituoD1VbWIrziH9RXnEFtxDjFVZxFTdQaxlWewrvIM4iprsK6qBnGVtX0e+/2tshYx1RextroGsQdPY131acRVn0Fc1Xmsq6rFmsrzeOtgDV6tOIs3Ky9i3cHLiCk/i7jyTxFX8RniD9ZibTnhOIfY8tNYe+BzgTW2ogaxVRdl9zfuALe2+iJiBb5zWF95Fusr2X//8DqPw/n7OsJbdQlrquulbz6D59ZX1iC+8jw2VJzDhoqziK88J39zXuR+zktlLeIPXsT6w5ewtuo84g5fQEzVOcRVnEVCxVnEHTgtc0+41laew5ry04gpO4PEyhokV11AfMkZJByoQVJlPWL2X0Bc1RXEVH+JN8sbsPrARSRU1iKx5ENkHTiKmqtfK8cqa/hpuOGMNi6MTqGthH4Q+kOIV7yUkju1mjs1XsNriY9svJbndA2AR10L4HVsvftzvl83yvU+su/e5/S/9Wf27lc/T3h0GPQx9QeLcx/6fby3r/vvBJMOG4/O353nSIeFz9Th6X28EzzOc8u+9Hud79H7Jgy6FucMk34Pf6NWR9KhNwaLqMRqWoRu/TjVpxFbtnZpjyFLxaQpI5oybum/8dhznlK23ig8OTeev/1e1Y/YWf4O2wcH11/f+nk+wxlW/fydjs7w9/6u213u56jg1eft+2F3hrGv+dXPOV/X+7uKEdKh1a1NPUcqQc7/en7h2ds/tyKNBG05I8Xdf9eB7+/YeyDOfzsDfK/fnfv5//Wdk3q///4eGPubW56/U7/ftzCdkaT397tCGl7Ue2Xdzd/d5nDdLN7reKc++Mz7bXfq9+/5jSk0/TWO9X8DXr78/tqdxnq/sPK+vj63URpepD9E/35XR3E8Ki8wSTCNhc7H3n3oAOnP+nuPzv07f3d+Tl/n+zrHeyTRT1wLDByji0Ed+Z1xNv+T8Oow9geLfv5O1E2/pr/j/cLL/np/bkUa0jnx8KrAI/373RwpRatoNOcpINlSQ+3dh34tj71J4r38zfud++Jzej/rTn/395v0SyYkCHL78V5gdL62L3h1+PuDpee89vqcp1j/3sc86P06P7+v73dCqN4Iw79vR5q7iVXs4xrmK0nOkoSkOT1K8qLodtej6W4/cnB9Deb7zsmk3KHfOz3ze3/TZ9JpKPJVcPJ/CV4dpr6Od5gHqRyhOUL7mtO+utPP9R4+/74dafSr7/HIipSk2de+/gZJCYlYuXwF0tO2oqWpGdYOC7pkp1lGofXwP/2cVGGgK55UQvswVIPneUb/zjJjvEZv3CiLfXT3SQTl5OnPYDSaxSrXEKF5rUwg79Gu4986sutH/ibxLHpfOlAEnYuDIaZ9fHToCW+n7MvpkHwugV8r/drFedKe2cnK1exTnxv9xevw/08e+4D3fk/9N6HoC6HHoa+UAAAAAElFTkSuQmCC[/img]
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Information: Rectas y puntos notables en los triángulos