Geometría analítica
La [b]geometría analítica [/b]es una rama de la geometría que utiliza [u]métodos algebraicos[/u] para estudiar las propiedades geométricas de las figuras. [br][br]En lugar de trabajar solo con dibujos o construcciones, se emplean coordenadas y ecuaciones para describir y analizar objetos geométricos (puntos, vectores, rectas...). Esto facilita la resolución de problemas geométricos mediante herramientas matemáticas.
Utilizaremos el [b]sistema de ejes cartesianos [/b]para representar esto objetos.[b][br][/b][list][*]Cada[b] punto[/b] se describe mediante sus coordenadas A(2,4), B(5,6).[/*][*]El segmento orientado (flecha) que va desde A(origen) hasta B (extremo) se llama [b]Vector fijo[/b] y se representa por [img]data:image/png;base64,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[/img][/*][/list]
CARACTERÍSTICAS DE UN VECTOR FIJO. Módulo, dirección y sentido.
Definiremos como [b]Vector libre[/b], al representante de todos los vectores fijos equipolentes (misma dirección, módulo y sentido). Para denotarlo, como no están definidos el origen y el extremo, en lugar de utilizar [img]data:image/png;base64,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[/img] utilizaremos [img]data:image/png;base64,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[/img].[br][br][list][*]Para obtener las [b]coordenadas de un vector[/b], restamos las coordenadas de su origen menos las de su extremo. Estas coordenadas indican lo que avanza o retrocede el vector y lo que sube o baja. [br][br]Ejemplo [br]A(2,5)[br]B(5,-3) el vector [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAiCAYAAACnSgJKAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAQaSURBVFhH7ZV/TJR1HMffzx0HBzF3NAW3q0WCINBmhKL8koygVusPpDV1a2VEVjOqMVeutQhzLGJZyipIDU4nFSgi8Ic0BgSo2JJsB3KzQaUhGnDySzh57t49x32FA67Dv+APfW23e77v5/t83t/P9/P9IVEBi4RK/C8K98wXhXvmi8ICmdtwuTQH+S03RNvBApmroH/qUZje3oTsxn+VoTiYPuFu9uOf/lFYnc+7MTN6zTdnalNIUPv4Ybmft2gDlsFruGFbggAnzZmh5myk7TiLtbmHUZARNW0uG8uQf6ITE05G1mtGtFzsmxrpbNTLwpEQ4S9aNgyYWtEhByF+SpsJB3+BYX8tLBs+wvfHdynCQiF381BqGON21vCK7JAWzNxcncUtHzfTLNp2FuhWs2G45yqsy/XQOS3xu/dKvaPMbQPn0NgVgo1rdEKZidxZjW9q2jFyy4bpYBIklRqePjoEBEZgfcI6BOnU4p3Abu4emabPErg0aR+7xSp1yUgHv0jRUQU1H0rNY3ltI5saf2LFoT3M2KCnl+8KPv1BNf92ijG/+Xgzs0I9KGlW88PzE0J0hcyOT6KpgYZROUbO6DnRxZI0PdWSL9ftbqNFyPPW3FxdiMo+X2hkIwyFdRgVuiu0Wi/xNAuPh7E5awtWqkfwq6EErbccsntz2184+m0bkgo+xbN+xOWyQhy//n/nnXtUvr7wkZSQw0MYFCHcmssXDqK4fxO2P78VGWl6SOZTOHC4C1bx/s4Zx4XyKrTLKixNeBLRnkIW0++CYdZkhDFlf7dSTdLSuouPaCRqwt/j2dtFm4HMrvwEpeYeDH6xkLU/t/DM6SbWVRqY90Yi9RoN/WOzWHXFKvq7qbnt6o8oaoxE+tZA2DeIZ9QreDlGC9l0BEWnhh2dXGLDoKkeJ44dQ9kPR3HE8B2Ky8+g975QxCdGYJnGaWeLQcxCZvueWEZkNnBMKKSVvcWp9FOpqHvuIHumExDcztzFah82suSlVdRKErWhr7PquuNj1+Zj9cwMe5CPJSUzOdn5F8cQnYqSdj1zO2Zvejfmdoaqmf6AmpC8GJd3aVJyad5XupmhaQb2zslunKd3hlEjeTDk3Sal5cw85tYeFiR5KnOu5oq36ieluTW3mlBcZETym2kImPPWC9GvvYoYbyv+KP0aJweELFDiiScXjLbht0vKPlEtweo14Q5tcghTWNl3Mp1BIZlscLmiFax/cm+ikoHkzbXZ553WhIWt70fQw0Xmcv85fvVCMD0ltXJM7+XvIva0uTItdZ+nMzZArdQ0iM+8k8uKi7Mmz9LO8pxtjL5fZU9R6RfI5B1fsrahkvt2b2e8/VvlrtL4+jNwVSRjHn+CG2MjGazXc2VUCrflVLBzRMRSuHvv80U0B/4DRF7GvJml8/YAAAAASUVORK5CYII=[/img] =(5-2,-3-5)= ([color=#1e84cc]3[/color],[color=#ff0000]-8[/color]) esto significa [i]"Por cada [color=#1e84cc]tres que avanzo, [/color][color=#ff0000] bajo 8[/color]" [/i][/*][/list][br][list][*]Para obtener el módulo del vector [img]data:image/png;base64,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[/img] =(x , y) , utilizamos el teorema de Pitágoras [math]|AB|=\sqrt{x^2+y^2}[/math][br][/*][/list][img]data:image/png;base64,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[/img]
Ejemplos:
EJERCICIOS
[b]Página 160 . Ejercicios 1,2[br]Página 177. Ejercicio 1[/b]
6.2.1 Producto de un número por un vector
Al multiplicar un número [b]k[/b] por un vector [img]data:image/png;base64,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[/img] , se obtiene otro vector[b] k·[img]data:image/png;base64,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[/img] [/b]que[br][list=1][*]Conserva la dirección[/*][*] Si k es positivo conserva el sentido y si k es negativo lo cambia[/*][*]Módulo de [b]k·[img]data:image/png;base64,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[/img][/b] es igual a [img]data:image/png;base64,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[/img][/*][/list]
[color=#0b5394][b]OBSERVACIÓN 1:[/b] [/color]Las coordenadas del vector [img]data:image/png;base64,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[/img] se obtienen multiplicando por k las coordenadas de [img]data:image/png;base64,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[/img].[br][br]Ejemplo: [img]data:image/png;base64,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[/img]= (5, -2) el vector [b]3[/b][b][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAfCAYAAADqUJ2JAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAMISURBVEhLrZXbK21RFMY/HNdcI+Su5JZrlGsp5YV49Df4azx79ugfkBfXKCUlKeVJIpdQruV6/IY9lr2dbZ1d53w1W2vNMeY3vznmGGMlvX9A/wFGBNfb25uSk5Mj0x+GpCR7YosGfsylpKQENnwDRTyY4Pn6+hqQPj8/BzZIMjIy7JsRs/GH8R0HBmAnHHB8eXmxOb4ZrtJVmZLI5sHRGNFkAKfr62utrKxod3dXdXV16u3tVW5urvLy8syHdfibInZmPD4+2rEA30748PCgpaUlzczMGPHo6KgGBgbU0NCg4uJiFRQUfCpCydnZmdbW1nR4eGjHIDYQQczz/v5eW1tbWlxcNOXp6elqaWnR2NiYxsfH9QtpHtyioiKTyjtzOEPIOD091c3NjdlR0dbWpo6ODjU2Nio7O/vzaBiBkwB2RQnH3dvb0/z8vA4ODlRfX6/u7m7V1NSorKxMOTk55h+akJDd3t7q4uLC4sSiwsJCZWZm2kVYkCM3GUoEMDP8qn0O+Df4KxFAGbfogU9LS4tYvhBKhAkS4LFzFcxjhxgkdDQWOaEvdAQbhBFh8uEx4h3S6ECDhGIE3M3J/N2RMNHf8NUH/hExis7Pz62WqDdHVlaWlQJF+vT0ZF1gdXU1aDElJSUaGRmJVUTW9vX1WQymp6c1Ozur8vJyKwluh9qj4qurq7WwsGAbDw8Pq7S0NJaIm8BpcnJSExMTpoCqhwAQ3NTUVEtICKemplRVVWXr4saI6h4aGrKq3t7eth7koANQe52dnVa4jrhExKW1tdV2Ix77+/s2T4kcHR3p5OTENkKdIy4R8aioqLAA00Z2dnasJ93d3RkRHbG2tjbi/Ym4RIC+TH+GcH193VRcXV3p8vJSg4ODfxTuj0TIZtfm5maL08bGho6Pj00hP4Hv+JEIkA7EIj8/X3Nzc9rc3LQOySV8RygRnbCpqcmULS8vW6ttb2+PWGMRSkTekLk9PT2qrKxUf3+/pUY8hBIBjtHV1WW/HQi9/3xHQtVPdpOUqIvOnS9IvwFc/daZeIX90QAAAABJRU5ErkJggg==[/img][/b]=(3·5 , 3·(-2))=(15 , -6)[br][br][b][br][color=#b45f06]OBSERVACIÓN 2:[/color] [/b]Dos vectores son paralelos, si tienen la misma dirección. Todos los vectores que se obtienen multiplicando por un número otro vector, son paralelos. [br]Por tanto, dos vectores son paralelos si tienen sus coordenadas proporcionales.[br][br]Ejemplo: ¿Son paralelos los vectores [img]data:image/png;base64,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[/img](-2,6) y [img]data:image/png;base64,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[/img]( 3,-9) ?[br]Estudiamos si sus coordenadas son proporcionales. Comprobamos que podemos escribir con sus coordenadas la proporción [math]\frac{-2}{3}=\frac{6}{-9}[/math] , entonces los vectores son paralelos.
EJERCICIOS
[b]Página 162. Ejercicio 2[/b]
6.3.1 Vectores que representan puntos
Si un vector tiene su origen en el Origen de coordenadas (0,0), entonces las coordenadas del vector coinciden con las de su extremo.[br][br]Coordenadas del vector [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACMAAAAfCAYAAABtYXSPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAS0SURBVFhHtVZZKK1dGH632TFEhoyRRDqGhBRFkitTSsnhRs7NcafUkQsXlCQ3pJNSosSV5FbmSOLCUBIZcsyKzLP1r+fd69vsszf2+Tv7qb2/73vX9631rHd43qUTEmRFvLy8qDv9va2treEKYHmdTsf3NvxvRWAhLKjt+fHxka/Pz89GRACrk3l6eiIbGxt6eHhgAg4ODkwCtrdEAKuT0RYFCS1EwFsisDFB9Ww1ICxYbHt7myYnJ+nw8JCf7+/vTYjZaKys9YNHEKLQ0FC6uLiggoICqqyspIWFBdrb26O7uzsmAuj6+/vF3Nycevz3wK4RqpubG3Jzc6OZmRn20JcvX5hgamoqlZSUUEJCAuk2NjaEo6Oj+vTfA2TOzs7Iw8ODSbW2tlJLSwt7rbS0lL5//07R0dHk5OREOhlTodW8NYAQ2dnZcTj6+vrYK7m5uZSfn0/29vb8DohxostEEprRGgAJeP78/Jyurq7Iy8uLvYBcNSSuJALorq+vrRomzetYHItCd+AtPCNvYINnAKu3AwidYefSEyCDsAFaaRvGLSGDj37//k1bW1usEz4+PhQeHk7BwcGGif4WOzs7TCogIEBZPlFgCBOSLjExkRobG9mWkZHBMW9ubqaioiJaX19nu6XAnLW1tRQfH8+bMwI8Yw6SuSguLhZSB6BDQnpHjegh3S+6urpEcnKyWFlZUdbPMTU1JUJCQkRcXJxYXV1VVj3Mega7Rf1vbm5SR0cHe0bLfA0IT15eHru5vb2dd/wZjo6OSIosz20OJmROTk7o58+ftLy8TA0NDRQVFaVGTAEhi42NpYmJCe49HwGJ29vby/qCCnNxceFwv4URGekp/mBgYIDKysooLS1NjZgHvOXv70+Li4uckB9hdHSUmybkH8TQGlxdXdWoHkZksDskLLzx7ds3Qwl+hNPTU74eHx/z1Rwwr7ZBVCbagzkYkQH72dlZysrK4tL9DNCQy8tLvn+PuBRV7kfl5eUsCfgGTRPv/ykLhqfb21vSundmZiZL+GfApLu7u+xyWSHK+gqEfXBwkL5+/cpdGUCI8F1QUND7OYO+ITs4xcTEUEREhLJ+jP39fVpaWuJvkDt/AkXQ3d1N3t7enOTj4+P8W1tbU28Yw0AGsUcloVThTkswPz/PyYvS9/PzU1Y9MBeEEh6ResLhxw/nGai4OZgE2tfXl09nnwGntqGhIQ4R9OZtWBGKzs5OVmtoyluNAkmkQ2BgIDk7OyurHgbPYFJPT0/upJZU0djYGFcIjpFJSUnKqgfOLAhRYWGhiVhqETAHAxmcMyBgyBvkz0eAm6HMYWFhVF1dTe7u7mpEr9719fX048cP3txfgZuCwvDwMPcNmWzKYgpJVFRUVPB7IyMjRj1LG2tqahIyVMpqDJkzQkZB9PT0KMsrjMjgCCqTTkjJFrJklfUVUth4MRkWMT09bURE+zY7O1scHBwoqylknuHIImQ/U5ZXmHRtTCpVWKSnp/Pk8BZ+dXV1IiUlRfz69Ys9oEGKnmhraxM5OTm8CDxWVVUlZPmqN/TAM+bARvBeZGSkqKmpYU9pePdwhYqAoEHKcUaG9iCv/u9hyhJY/dhpOYj+A3/GDUtiFRxSAAAAAElFTkSuQmCC[/img]= Coordenadas del punto A[br][br]El vector [img]data:image/png;base64,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[/img] se llama vector de [b]posición del punto A.[/b][br]Esta propiedad es muy útil para obtener coordenadas de puntos a los que se pueda llegar operando vectores.[br]Ejemplo[br][img]data:image/png;base64,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[/img][br][br][br][b]EJERCICIOS:[br]Página 163. Ejercicios 1 y 2[/b]
6.4.1 Ecuación vectorial de la recta
Para obtener la ecuación de una recta, necesitamos un punto P (por donde pasa) y un vector v (dirección que lleva).[br][br]Sea el Punto P, utilizaremos el [i]vector de posición[/i] OP y obtendremos todos los puntos de nuestra recta operando [b]OP + [color=#1e84cc]t[/color]· v [/b]donde t es un parámetro que toma cualquier valor de [math]\mathbb{R}[/math]
6.5.1 Paralelismo
Dos rectas son [color=#1e84cc][b]paralelas[/b][/color] si llevan la [u]misma dirección[/u], esto es, si tienen la [color=#1e84cc]misma pendiente[/color] o si las [color=#1e84cc]coordenadas de sus vectores directores son proporcionales[/color].
[b]Página 168. Ejercicios 1,2,3 y 4. [/b]
6.6 Posición relativa de dos rectas
Dos rectas en el plano pueden ser:[br][br][img]data:image/png;base64,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[/img][br]Dadas dos rectas para ver cual es la posición relativa entre ellas, hay dos opciones:[br][br]a) Estudiar los vectores directores de ambas rectas:[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAo4AAAF6CAYAAACX5dlyAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAMsLSURBVHhe7d0Hmy5VlT78//cQRSQLCogi0TQGFBOCgCiIklSMKGYwgQlzBpQgqGBCDBgRc8455zQ6jtlxnFDv+9tPrTN16jxPd5/T3afTfV9XXd1dXbXjCvdae1fV/+uCIAiCIAiCYAEIcQyCIAiCIAgWhBDHIAiCIAiCYEEIcQyCIAiCIAgWhBDHIAiCIAiCYEEIcQyCIAiCIAgWhBDHIAiCIAiCYEEIcQyCIAiCIAgWhBDHIAiCIAiCYEEIcQyCIAiCIAgWhBDHIAiCIAiCYEEIcQyCDYrf77BLjhw5VuERBKsZIY5BsEExzWHlyJFj5Y8gWM0IcQyCDYppDitHjhwrfwTBakaIYxBsUMRRBcHqQfQxWCsIcQyCDYo4qiBYPYg+BmsFIY5BsEERRxUEqwfRx2CtIMQxCDYo4qiCYPUg+hisFYQ4BsEGRRxVEKweRB+DtYIQxyDYoIijCoLVg+hjsFYQ4hgEGxRxVEGwehB9DNYKQhyDYIMijioIVg+ij8FaQYhjEGxQxFEFwepB9DFYKwhxDIINijiqIFg9iD4GawUhjkGwQRFHFQSrB9HHYK0gxDEINijiqILVgP/+7//u/vGPf3T/8z//059ZWfzv//5v989//rP7z//8z/b79kL0MVgrCHEMgg2KbXVUP/zhD7svfOEL3ec+97lNxze/+c3uL3/5S3/FBMjAN77xjc2u+9d//ddVQxBWAt/61rc2G486jKcx/N3vfteI1EbBf/zHf3RvfOMbuxNPPLH71Kc+1f3Xf/1X/5+VARn+5Cc/2T396U/vnvKUp3S/+c1v+v8sP7ZVH4NgeyPEMQg2KLbVUV177bXdQx7ykO7ggw/ubnnLW3b3ute9ute85jXdL3/5y/6KCf70pz91F154YXfPe96zu81tbtM9/OEP777yla+sODlYSbzlLW/pzjrrrO72t799G7snPOEJ3Utf+tLuvPPO604++eTuiU98YvfhD3+4+9vf/tbfsb7x5z//uTv//PO7Aw44oHv3u9/dsnwrBdnFX/3qV01myeuxxx7b/fznP+//u/zYVn0Mgu2NEMcg2KDYVkeF1HziE5/o7nOf+3Q3uMENusc85jHdj3/84y0yZRyxDJrMzSmnnNIya0tJDJSt3pUkG1uLv//9791nP/vZ7qijjupueMMbdh/5yEcaefr1r3/dvf3tb+8OO+yw7ogjjug++MEPbojMoz5+97vf7d7//ve3MdieS8PTIBv++c9/vrv73e/e3fe+9w1xDIIpCHEMgg2KxTgqe8Be8IIXdDvvvHP3oAc9qGVqpsF155xzTve2t72tLUsuFTj4N7zhDd173/veRsbWEn7yk580In2jG92o+9KXvtSfnSztP+5xj+v22GOPlpX87W9/2/8n2J742te+1rLoIY5BMB0hjkGwQbFYR2X/4l3ucpfuoIMO6t71rndNzfxZmrYc+/3vf3/J9jbKUiFclhLtj1svxBEuuOCCbu+99+6OP/747gc/+EF/NtieCHEMgrkR4hgEGxSLdVT2Kj7nOc/pbn7zmzdyOM6QVbbx9a9/fVuOBVk1D4Jcfvnl3ate9arune98Z1uiHJJKvztnudZ+M8f111/f/fGPf2z/s0x+2mmndbvvvnsjYC95yUta5nFYx9e//vWWkVTHVVdd1f52voBsIgj+h9Rannzd617XffGLX9xEgD0YYd8dMnfJJZe0/w3LAA+06J977f3UTtnXuUjyXMTxla98ZbfXXnt1J5xwQvejH/2obQtAvmuctMHYffnLX960V9Re0o9//OOtDfaaIvHqGC51/9u//Vtrm/2T5smDKK997Wu7N73pTW2peLzv9K9//WurS9/0/61vfWv3ve99r81pwTh95zvfaWOE5Hrwx/Xmp8i87QQf+tCHWtv0ze/aUkvSVcab3/zmLfbIukZwoo3mUZBgLIaBgvZol4y28fnDH/7Q+nnRRRe1pf/f//73m+ry05x+4AMfaH1X5tVXX922Owznay7i+O///u9te4H7X/3qV7ff1Vl1aI82Gwf/f8973tN97GMfa/+bD4vVxyDYXghxDIINiqVwVEjHv/zLv3R3vOMdG3kZAlk79dRT20+OmYN92cte1ogIh+2hEPv5HvWoR3Xf/va3NzlvT22fe+65jWggY8gpR44MIEmInmXy/fbbr3vSk57USBUihVBw3FdccUX3jGc8oz2IglBY9j3uuOM2PXyBzCCV97///dtDGdr04Ac/uGX6LLsjC/YhqgOxRJo82OMhH4Sgnh5HUDzMgshpg3YeffTRbRyGBGuMWcQRodKOXXfdtTv77LPbmGinthsnROdhD3tYt++++3ZPfvKTGwFEhF70ohd1z3/+87trrrmmu/TSS1vZp59+eiNZ+uvn0572tPZAjvPG9W53u1sj3kg/kopIFvlBtl7+8pd3z3zmM1vfETf32Zd53XXXNfKsreo76aSTWtb5ec97Xvf4xz++zYk5N0faZx4Re2PvIRhj+OIXv7jNgfkiB/rsvs985jOtflCHsbY/1hhox2Mf+9g2FldeeWUjtuQFMTM3HjQyH+oyh+bVOeStAorab2vOyIVgADkU9CDphVnE0e9kRbu0+1nPelZ3j3vco3vhC1/Y+qo9SLMnsrWR7Oqz9iwES6GPQbA9EOIYBBsUS+GoZLUQDKQLeeHQ6zyiw9EijP6+7LLLujPPPLNlmBAaDp2jv9WtbtXuRcjcjxQhfggWZ4x4Hnnkkd0hhxzSsjkga3TooYc20lYZKMQHmXnAAx7Qsm6ydTJp7vfE8u1ud7tGfNQjy4T07LTTTi0r6jxCozzXI27IimuRQMQU6Tn44IO7T3/6061Pj3zkIxvpkOlSDxKHBG8NcVSHTNtXv/rVRmqMBSIn22csEHNkEbFCzpAr4yqbJgPraWzZ18pAGgvZ17ve9a6N+MjGyZLJ6N361rfu7nCHOzRiI/OHzFkSt6cSKfOqJPtQkc8HPvCB7bU0CJy5kiVWpodG9E/b9FubtQ0Z02ZkzDybY3PtPBJp/rUXYb3Tne7UynDOPDz1qU/tdtlllzauYM6NiyebzSc5MZ6Im77e+c537t73vve1+3/xi190z372s9v9yLHzMp8yq+6/973v3caAbHgAR4CDOGu/A9k//PDDu49+9KOtbphGHI2tepB081XzbdwOPPDARmDJG7l1GHN16rs6FoKl0Mcg2B4IcQyCDYqlclRIgGwWUlDZRQ4TIUAm/P3Tn/60ZZY8gY0MIH4OjriyXu7h+GW2KjsIsozIjIwW0gXTiKOMEtJo76MMUmXQlIPM3OIWt2jEA+HxPyRPdg9JQSLU40A6jznmmLbsW+3UZsQRQUE8lOGVRAitJfVarkS21I3UzMKQOCIZyDPSg4S+4hWvaGNYS+JIE2Krr8gtwuKc9spWInPKUH8BaZGJ3W233VofXI+UIc7GBklFxIyL9po3pNJyPSInq2esjWdBvTLExtC8ykqC9mqbLK9rtEt9iO3++++/2TyC+RJoVACAbJEBbS3iiAwaW4RO9rnm0U/zoK2PfvSjG9F1ztzKnsr6Ks85/UMaZcNLBo0r8ufpfgFBZbZdg0gXphFHxNxYux5JJBMyisixus1BEWmkW3nmRDvUtxAslT4GwXIjxDEINiiWylEhGDJLMldIgGVMy8SIBhIDlkJlih760Ie2PYuIoMNeMZk+y6Ecr6wagsbZFvlCBBCCylzCNOLoHlkmy6rj/ZYydZZUkZl66AT54PSVVRlCJEe7kQSZomqnTJrlWyTPvjZ1IirICeJVWUttRKDmwpA4It3GyJj5iXgNSScSJkMoUzYmIPYNyoAih+4rGC9ttlfyEY94RBsLS+/IvXqNc0GdiCDiZqlXexAzfa9xLahffbX/EpBoWcx3vOMdrd6Cedxxxx0bSR2eN48yjzXe04ijuUIai+QPIZto2d6YyyQC0moe6/4CUq9tsqXGVJ1kVT9se7BlQtbYuMxHHO2vlA0m58a95MLYaz8SqV/KEXSQHyRS5hPBXQiWSh+DYLkR4hgEGxRL5ag4ZZkgS3aWkxEre7sQMpkeQEpue9vbNkfLwSJXw0MZCAaSZClzSOamYRpxVIcnvC2/WkYcAoFBSPfcc8+2/AtFHGUMqy5LtUjT/e53v5bRG7fTUX1yrf2DSBLyoT1IWC3NzsKQOI4fjhmjiKMxGRNHhEUG0B672ndZQNxrv6GxKOKIjA3HxtghxEg/kmM5F7lGhGVfh7D87D2TxkYfoYij+R8SRBm4HXbYoRGpueZxGnEkP5UdlX0cQpYQoUOk7QGFIo7DPZIwJo7GEunzyiMZUcTTfkUkdT7iiGTaMylYQNLHMlHyazxlJ8k/XRDIGMuFYKn0MQiWGyGOQbBBsZSOyr4vpOTGN75xW2a0T7GWlcEyqEyRbBXnX+QLOFtLlzIzso8ebECGOPoCp4ys1P7IWRlH52R7ZKaGdSB4HmSwR8+yOUwjjsr2QAWCJAs6fvekDB1igDwUgUCE1W3pG7lAJMeka4ilIo5IEHJon52M5RD2NHqIxgMc2jwXcbQP1bi5pjKOsrbjd3Miasi/PZeVCZxFHM2f/aOWhodtq3msjOVcGUftUOewXLLjASTLwT/72c/auYUSR9e519gg2uTD7+RlPuLoYRpyiRDL4A7bpH+Ww825cksmyLwlf/ctBEupj0GwnAhxDIINiqV0VByzpTsPyVjSswQ9XD5FVs4444yW2bKfj1N1Djmxr9E+QwTHq0tkahAHe8nq4RRZQtlKpIPTLuJo2Ru5QoCUh5DJfHoStwglePjBUjWiU4R0GnFEJpAIBAl5sERpaRtZQEbVh4jIhMlWIaHao/9+R/A8iDPcHzjGkDgig0MSMsZcxBHZNk7IMNJURFlbkF/jaPlc34o4IlzD5V9jhvA69AlR8t1oxFkGEgkqyASqzzzX2M4ijuYHYTJH5raINOJnTO03hGnEUfssIdtPaovAUI4EAOZFvdqgztrjaI6HwcKYONr/agw8+axfggKZRH0lawigsZpGHGUnLY+71sNJCC2Z0B+EVLbbNgVPUw9lQqZbhnYhWEp9DILlRIhjEGxQLLWjknXkbGX2OPihE/e7ZVBEwt47y8YyV7KTSALSwGkjSh6e2GeffRpJ8cAIoukhBISjSB+SgBR4kEPWCEGS5UGgnLNczZkjBzJTMkWIIuKpLbKbnqoucjLMEPofsnazm92skWBEyitfvL5HJg0pRHiRP9chtUiCn9rsNT7VzjHUjcTpv08OypgiT7OAuMj+yWR6BczwQRPkx/1IpeVX9XuoBlEytp5Ur2xfEUdk0nKr9iHliDAyibwbf+V7Kruyw+5D0BAk8+Shm8oYu9+eP0vbiOowOysIkHn14JN5knnzBLg5QDyrXbXH0heIKsOrbA/tGCN7SJFQ5BHJRTKVgTQjZ9qgHvNo32KRTPOJUCOvHnbSN+RYhtbeQ/3VDv256U1v2uaXHGkPgmwp3HghkdpjrC+++OImD7YHkDH7R8kAefVQkbbo53Of+9xGNNUpE4mwLgRLrY9BsFwIcQyCDYrlcFSWT5GI4VO+BaTGQzKcrb2GyAJyguANyRNSpgyEw9K3pUQEqZ7kBeStyB1CgOBw1Jw8Z41wIrAeVODgkQqZQwTPS7uRJYQBeZOhtCetyAxCIuulDfbaaQMCgrQgx+rQRg/6IFiWPxEJGVVEDNlzzTQgLUgJouM73+pGyCx/j++RlUVutVN2UrYLSRqOA7Ii22dMZclkt5AXJNMYVRawiKOsmfdaesIdEUY4ZRaHWT3kDTFHpvTPXkNPwyNasmk1hvpr/LXNsrJ6kbsCEkYekGljKOPrb2Nb7VIuMmceDj744LZsLgBQh2V8Wx6QR2MsyDC+tiuYa2TO/Ui1+7UBkZVBRpxlIdUre0x+BBVInPq0HUE2duaDPCDcSKpMJdm01F5P+KsP2bZkrT03uclNmgzrM3KpLcZQgKOtDuNWMrEQLIc+BsFyIMQxCDYolsNRcfrDp5/HcB5xsNRn6dfy6DCLBkgFJ20fHIIim8MpF9kAvyNGykHU6vU1wInLGiIYMlMyZNpVxExZ9b86ZCWRgyG0wb3aIFMpi1VtcK22a6M2KMPv7hm2cwzlDet1KHvafeqTRRxei7jp3xCInrYYT23Vl+EyPRRxtIxu+VT/XY8AD8euoH81T9PmwO+yasO26dt4LhFb986aR2R+WIZ+VP/IiuXgGgPjNJxH5Tg3vF8bEOtx2xBabVO+PhlH4yZgcQ8Z0meyW/Pp8LuAotrsHvfqj/9pX7VXuwQWQ5lQ9jCbPReWQx+DYDkQ4hgEGxRxVBsHRRzHD8cEqwfRx2CtIMQxCDYo4qg2DkIcVz+ij8FaQYhjEGxQxFFtDFiK9s1tewHtF7WEOmsrQbByiD4GawUhjkGwQRFHtf5hr6MHZTws4qEOD3t4ktiDIOM9lcHKIvoYrBWEOAbBBkUcVRCsHkQfg7WCEMcg2KCIowqC1YPoY7BWEOIYBBsUcVRBsHoQfQzWCkIcg2CDIo4qCFYPoo/BWkGIYxBsUMRRBcHqQfQxWCsIcQyCDYo4qiBYPYg+BmsFIY5BsEERRxUEqwfRx2CtIMQxCDYo4qiCYPUg+hisFYQ4BsEGRRxVEKweRB+DtYIQxyDYoIijCoLVg+hjsFYQ4hgEGxRDR5UjR47VcwTBakaIYxBsUExzWDly5Fj5IwhWM0Icg2CDYprDypEjx8ofQbCaEeIYBEGwhhCCEQTBSiLEMQiCYA0hxDEIgpVEiGMQBMEaQohjEAQriRDHIAiCNYQQxyAIVhIhjkEQBGsIIY5BEKwkQhyDIAjWEEIcgyBYSYQ4BkEQrCGEOAZBsJIIcQyCIFhDCHEMgmAlEeIYBEGwhhDiGATBSiLEMQiCYA0hxDEIgpVEiGMQBMEaQohjEAQriRDHIAiCNYQQxyAIVhIhjkEQBGsIIY5BEKwkQhyDIAjWEEIcgyBYSYQ4BkEQrCGEOAZBsJIIcQyCIFhDCHEMgmAlEeIYBEGwhhDiGATBSiLEMQiCYA0hxDEIgpVEiGMQBMEaQohjEAQriRDHIAiCNYQQxyAIVhIhjkEQBGsIIY5BEKwkQhyDIAjWEEIcgyBYSYQ4BkEQrCGEOAZBsJIIcQyCIFhDCHEMgmAlEeIYBEGwhhDiGATBSiLEMQiCYA0hxDEIgpVEiGMQBMEaQohjEAQriRDHIAiCNYQQxyAIVhIhjkEQBGsIIY5BEKwkQhyDIAjWEEIcgyBYSYQ4BkEQrCGEOAZBsJL4f0P054IgWAIMHXyOHDlybLQjWJ/oKeME/bkgCJYA0wxpjhw5cmyUI1if6CnjBP25IAiWANMMaY4cOXJslCNYn+gp4wT9uSAIgiAIgiDYAj1lnKA/FwTBEiCRdxAEGw2xe+sfPWWcoD8XBMESIAY0CIKNhti99Y+eMk7QnwuCYAkQAxoEwUZD7N76R08ZJ+jPBUGwBIgBDYJgoyF2b/2jp4wT9OeCIFgCxIAGQbDRELu3/tFTxgn6c0EQLAFiQIMg2GiI3Vv/6CnjBP25IAiWADGgQRBsNMTurX/0lHGC/lwQBEuAGNAgCDYaYvfWP3rKOEF/LgiCJUAMaBAEGw2xe+sfPWWcoD8XBMESIAY0CIKNhti99Y+eMk7QnwuCYAkQAxoEwUZD7N76R08ZJ+jPBUGwBIgBDYJgoyF2b/2jp4wT9OeCIFgCxIAGQbDRELu3/tFTxgn6c0EQLAFiQIMg2GiI3Vv/6CnjBP25IAiWADGgQRBsNMTurX/0lHGC/lwQBEuAGNAgCDYaYvfWP3rKOEF/LgiCJUAMaBAEGw2xe+sfPWWcoD8XBMESIAY0CIKNhti99Y+eMk7QnwuCYAkQAxoEwUZD7N76R08ZJ+jPBUGwBIgBDYJgoyF2b/2jp4wT9OeCIFgCxIAGQbDRELu3/tFTxgn6c0EQLAFiQIMg2GiI3Vv/6CnjBP25IAiWADGgQRBsNMTurX/0lHGC/lwQBEuAGNAgCDYaYvfWP3rKOEF/LgiCJUAMaBAEGw2xe+sfPWWcoD8XBMESIAY0CIKNhti99Y+eMk7QnwuCIAiCIAiCLdBTxgn6c0EQBEEQBEGwBXrKOEF/LgiCIAiCIAi2QE8ZJ+jPBUEQBEEQBMEW6CnjBP25IAiCIAiCINgCPWWcoD8XBEEQBEEQBFugp4wT9OeCIFhGvPjFL+7ufOc7d294wxu6v/zlL/3ZIAiCIFj96CnjBP25IAiWCX//+9+7Bz3oQd0LX/jC7re//W33v//7v/1/giAIgmD1o6eME/TngiBYJnzjG9/oXvWqV3U/+clPuv/5n//pzwZBEATB2kBPGSfozwVBsEz44x//2P3pT38KaQyCIAjWJHrKOEF/LgiCBQIB/P3vf9995zvf6b7yla+0jOIvf/nL7q9//Wv3hz/8oS1Nw29+85vua1/7WvflL395s8NydRAEQRCsFfSUcYL+XBAEC8A///nP7rOf/Wz3nOc8p3v2s5/dveQlL2kPvpx//vnt50tf+tJGJMF15513XnePe9yju9WtbtXd/e53757xjGd0X/rSl9r/gyAIVhrf/OY3uy9+8Yvt8Pvf/va3/j+b4+c///mm6+qY9qDfn//85+7HP/5x99WvfnVTmb/4xS+6f/zjH/0VwVpETxkn6M8FQbAAfOtb3+oe/OAHN9L47W9/uy1Byyx++tOf7k499dTumGOO6T73uc+1axlKxvaMM87obnCDG3SPecxjuh/84Afdf/7nf7b/B0EQrDRe85rXtIf3DjnkkO5Od7pTd80112xaNRniYx/7WPe85z2vBcLsHBuIEBbYO8HyK17xihZAv+xlL+te/vKXdy960Yu6Zz3rWd3rX//6tjKTLTtrEz1lnKA/FwTBPED4Lrnkku4ud7lL94UvfGELA/ipT32qe9SjHtV9/vOf789M8LSnPa0RR9lJ0XgQBMFqgW03H/3oR7vjjjuu23HHHbv73Oc+LRD+r//6r/6KCdi/f/u3f+ue+MQnNjKIBP73f/93+58s5Zve9Kbubne7W7NzX//611u5tu8gl+94xzu6E044oTvttNNaBrLuC9YOeso4QX8uCIJ5IAoXSe+3337dFVdcscUyDaPqPY2WaIYo4igCD3EMgmC1AUmUebSlZpdddmkEzx7uaa8OY/ve//73b1p6Riivvvrq7ja3uU27z9sjxve59qqrrur233//tjIz7ZpgdaOnjBP054IgmAf2N4qqGb/DDjusu/DCCzdbemEcLV//6le/an8XQhyDIFjtuPzyy7vnPve5LeO4zz77dE9/+tOnvncWAbzuuus2Ecfvf//73f3vf/9mF2Uux5nKwr//+7+3rKbA+7WvfW3LRgZrBz1lnKA/FwTBAmCPov1AlnQYwEc84hHdhz70oe4//uM/2v8twYyXsEMcgyBY7UAc3/KWt7Rs4lFHHdWIoD2KXic2xJg4vu1tb2vX2vcokzgLCCgbuPfeezcb+sMf/rD/T7AW0FPGCfpzQRAsAKLp7373u22fj6h855137m5961t3j3zkI9ureYpADhHiGATBagfi+Pa3v73tTfTT0rPgGJkcPiwzJo5nn312t9tuu3WPe9zj2r1z4d3vfncjmR7C+eQnP9mfDdYCeso4QX8uCIIFQuRsP+O73vWu7uSTT+5ucYtbdLvuumv7FvWll17a/jdEiGMQBKsdRRw96GIZ+ZWvfGXLDh5++OFtCbreBjEmjoJmATQCOZ99s//74IMPbnspr7322v5ssBbQU8YJ+nNBEGwlGM4f/ehHbbP4iSee2O2xxx5t76OlG/shCyGOQRCsdgyJI/zud79rZNDKygMf+MBG+gTNiyGOnqj22h+rNO973/v6s8FaQE8ZJ+jPBUEwD0TcnjT89a9/3Z+ZZB8tT9sgbqlm99137x796Ec3o1sIcQyCYLVjTBzZtp/97Gft/bM3v/nNuzPPPLO9s3ZMHNk3S9Xs3ni1ZQyZywMOOKC7613v2t75GKwd9JRxgv5cEATzgEH12gl7cxjVMbzb8Q53uENbvh4+WR3iGATBaseYOAI750tYJ510Unezm92svQD8ggsu2Iw42gMpK3nkkUe2FZi5cNFFF7VyfEQBKQ3WDnrKOEF/LgiCecCgesrQFxNkFMfk0UtvRdJPecpT2jerwRPWlnBCHIMgWM2YRhzBA4Ef+chHuiOOOKLteTz++OO797znPZuI4/e+9732RDXy6A0Ts17Hw/YJqm95y1u2DymM6wlWN3rKOEF/LgiCecDQ+R71oYce2sgjougl4JawRc++X3300Ue311mU8fQetIc97GGNOJ511lntE4TTspVBEAQriYsvvrh74xvfOPX9irbjXHnlld2BBx7YDisvRRw9ce2+2972tt1DHvKQ9taJ8ZdhXIOUHnTQQe3rWjKT+fTg2kJPGSfozwVBMA8QRw++yDparjn//PPbvkbG0vsczznnnBZxV1bR5u/TTz+9vdICcdx3333bi3It8wRBEKwW+Oa+lRKvGfNRg2nBLbtmqdlnBYfE0bX2NspYerMEm/iZz3xmEwG1bQexfMADHtA9/vGP7772ta9t9vBgsDbQU8YJ+nNBEMwDETIDK8vIKMoyyjp+6Utfak8L/uu//utmBtFDNJ5E/OIXv7jZ4bogCILVAHuzzzjjjPZ+RcGt/YxeNVbEcAjk8bLLLmsB8vD/yCOb+LnPfa57wQte0B6U8WlBhwzjueee275XbQUmmca1iZ4yTtCfC4IgCIJgg8F+bA/AfPnLX26HjKCnp2cRPOTRMWvLjfJ8FUbQrDyfYVVevQcyWJvoKeME/bkgCIIgCIIg2AI9ZZygPxcEQRAEQRAEW6CnjBP054IgCIIgCIJgC/SUcYL+XBAEQRAEQRBsgZ4yTtCfC4IgCIIgCIIt0FPGCfpzQRAEQRAEQbAFeso4QX8uCIIgCIIgCLZATxkn6M8FQRAEQRAEwRboKeME/bkgCIIgCIIg2AI9ZZygPxcEQRAEQRAEW6CnjBP054IgWCR+v8Mum44gCIL1hKF925YjWNvoKeME/bkgCBaJGMkgCNYjhrZtMUewdtFTxgn6c0EQLBIxkEEQrEcMbdtijmDtoqeME/TngiBYJGIggyBYj1iMbVvMvcHqQU8ZJ+jPBUGwSMRABkGwHrEY27aYe4PVg54yTtCfC4JgkYiBDIJgPWIxtm0x9warBz1lnKA/FwTBIhEDGQTBesRibNti7g1WD3rKOEF/LgiCRSIGMgiC9YjF2LbF3BusHvSUcYL+XBAEi0QMZBAE6xGLsW2LuTdYPegp4wT9uSAIFokYyCAI1iMWY9sWc2+wetBTxgn6c0EQLBIxkEEQrEcsxrYt5t5g9aCnjBP054IgWCRiIIMgWI9YjG1bzL3B6kFPGSfozwVBsEjEQAZBsB6xGNu2mHuD1YOeMk7QnwuCYJGIgQyCYD1iMbZtMfcGqwc9ZZygPxcEwSIRAxkEwXrEYmzbYu4NVg96yjhBfy4IgkUiBjIIgvWIxdi2xdwbrB70lHGC/lwQBItEDGQQBOsRi7Fti7k3WD3oKeME/bkgCBaJGMggCNYjFmPbFnNvsHrQU8YJ+nNBECwSMZBBEKxHLMa2LebeYPWgp4wT9OeCIFgkYiCDIFiPWIxtW8y9wepBTxkn6M8FQbBIxEAGQbBWMbRfcx1bi2llTDuC1Y2eMk7QnwvWCKYpXI4cObb+6P77v3utCoJgmo5MO7YW08qYdgSrGz1lnKA/F6wRTFO4HDlybP0R4hgE/4dpOjLt2FpMK2PaEaxu9JRxgv5csEYwTeFy5Mix9UeIYxBsji10ZJmwveoJlg49ZZygPxcEQRAEwQbH9iB1y11+sPToKeME/blgjSAKFwTbjt/vuPv/6U8yjkEwFcvpZ4ZlL0f5wfKgp4wT9OeCNYIoXBBsO0Icg2B+DP1M05UlwnKVGyw/eso4QX8uWCOI0gXBtiPEMQgWhqGvafqySCx1ecH2RU8ZJ+jPBWsEUbwg2HaEOAbBwrGU/mYpywq2P3rKOEF/LlgjiPIFwbYjxDEIFo6hv2k6s41YqnKClUNPGSfozwVrBFG+INh2hDgGwdZh6HOa3mwlFnt/sDrQU8YJ+nPBGkEUMAi2HSGOQbD1GPqdpjsLxLbeF6w+9JRxgv5csEYQJQyCbUeIYxBsG7bF92zLPcHqRE8ZJ+jPBWsEUcQg2HaEOAbBtmHoe5r+zIOtvT5Y3egp4wT9uWCNIIoYBNuOEMcg2HYM/U/ToRlY6HXB2kFPGSfozwVrBFHGINh2hDgGweIw9EFNj6Zgvv8Haw89ZZygPxesEUQhg2DbEeIYBIvHXH5o+L9p/w/WJnrKOEF/LlgjiEIGwbYjxDEIFo+hH2q61GPW+WDto6eME/TngjWCKGUQbDtCHINgaTD0RdOOYH2hp4wT9OeCNYIoZhBsO0Icg2DpMPRHwyNYf+gp4wT9uWCNIMoZBNuOEMcgWDoM/dHwCNYfeso4QX8uWCOIcgbBtiPEMQiWFkOf1PQqWJfoKeME/blgjSAKGgTbjhDHIFh6xCetf/SUcYL+XBAEQRAEQRBsgZ4yTtCfC4IgCIIgCIIt0FPGCfpzQRAEQRAEQbAFeso4QX8uCIIgCIIgCLZATxkn6M8FQRAEQRAEwRboKeME/bkgCIIgCIIg2AI9ZZygPxcEQRAEQRAEW6CnjBP054IgCIIgCIJgC/SUcYL+XBAEQRAEQRBsgZ4yTtCfC4IgCIIgCIIt0FPGCfpzQRAEQRAEQbAFeso4QX8uCIIgCIIgCLZATxkn6M8FQRAEQRAEwRboKeME/bkgCIIgCFYA//Vf/9X97ne/677zne903/zmN7vvf//77W/nf/vb37af8OMf/7j7xje+Me/xve99r/vLX/7S7hnjP//zP1vZ6lDXt771rVbuv//7v7f//fGPf+z+53/+p796S/z3f/93u/Yf//hHf2ZzOD9sp3r++te/9v/dHH/4wx9an+vab3/7292//du/dT//+c83nZvv0FftUc+0/4+Pn/zkJ62fQ2jzL37xizYWDtf8+c9/7v70pz+1n0GIYxAEQRCsCiAtH/vYx7oXv/jF3bOe9azu+c9/fnf++ed3L3zhC7vLLrusO/fccxvRgyuvvLJ7ylOe0t397nfvDjrooO6MM85o17u2jqc+9andiSee2Moc41e/+lUrw3XPec5zNtXz0pe+tHvJS17SXXTRRd2FF17YCN0sIFXq/OpXv9r97//+b3/2/6Ctb3jDG7qHP/zh3e1ud7vubne7W6vzP/7jP/orJnAv4vqiF72ou8997tMdfvjh3Xnnndd98Ytf7J72tKd19773vbtHP/rR3ROf+MTuSU96UnfnO9+5u/3tb9+ddtpp7ZzjpJNO6u53v/t1H/rQh7qLL764e9SjHtXqPPDAA9s4DcdFX5X3mMc8pvvRj37Ut6JrxPzyyy/vnvvc53bPfvazN43/y1/+8jb273//+/srNzZ6yjhBfy4IgiAIgu2ML33pS93DHvaw7jWveU0jNDJufr797W/v7nrXu3ZHHnlk98tf/rJdK3P3ta99rRHDHXfcsRG93/zmNy0z5pAtROwQng984APtnsLXv/717vGPf3x3yimndG95y1tapu73v/99O/zunLqQMfVPI4Wyje9617u6Qw45pHvZy142NRtXGckvf/nLjcjtvvvu3b/8y790H/3oR7t//vOf/VUT+BtxO/PMM7vHPvaxm7KTCPQll1zSMoQ/+MEPuh/+8IeNOCKESJ72Oo8wIpWf+cxnWluuvfba7ja3uU23ww47dJ/4xCc2jYsDGTbWz3jGM9oYwt/+9rfuggsu6I4//vjufe97XyPW2qPeF7zgBd0BBxzQ2hGEOAZBEATBqoAs14Me9KCWfRvCcqrMHSJnGbXw61//uhGynXbaqZGov//97/1//g9IWpEjcD9yus8++zRCijCNgcT530Me8pC2ZDyNOCKEMn277LJLd/DBBzeiNxc++clPtswokiujKJtYy+5DvOpVr+re+ta3tnYhzu985zsbIR7inve8Z3fYYYd1H/zgBxs5BT/1FZEE5SPbiONXvvKVdm4I17/3ve/d1G5kWrZTRhK5HMJyuQzlFVdc0Z/Z2Ogp4wT9uWWB6Mf+BZMzPggmYZa+niagBUpCmGZdQ2m++93vTq2DIoqcpM7Hkc5cUJ/oZNY+D4JPqKbVSSBn1SWa0aZp942P2mei/9PuUc+sPSazoN36tdD7RHDGT/Rl34f5Mt4UerzsEKws6Ae5JWPmiozQMXIqgjdv5nOaHvmfjEbtNfLT386Pr6dLVX4d7mG4/ay/7XGaJWfKHsq0dtqPNazL7+on/9Uu9f7sZz9r/dCn2jdFLsc64h6ZA1mJ4fnh4R6ZjH/913+d2lftnHbf+NAuzo7jGdoiYzDeSwWcl37VeDncpz/aU+fmO/TNuBn7af8fH64ft4cek5Ga09rbxf74Oddet2BpINt2j3vco2XPxqTKPFi2JS8Fv88ijmSYHNHTstH+fuUrX9nd7GY3a0SIjRjLeoEuKJN/mXbNpz/96e7UU09tJPDGN75xWx4uPZwG5PURj3hEd//737+RTUvr5HUsVzKnMpn6YgzIXpHDwjTiCOxeyfVcxNE9dLT2coJMpUymZXX6OmyX69/85jc3EhtsR+LIeIskHvCAB3SHHnpod9RRR7UUtP0Dj3vc45rwv/rVr27OYJqBIpBnn31222Mwi6gQdKlmEZsI6C53ucumvQ3qeuhDH9oipA9/+MObKdgsaMf111/fyqx9JWMoR1r76U9/eqtP+pxQn3POOU3pxpFLQbnPe97zuqOPPrpFYSeccELbZ2KPRx32eBxzzDHd2972tlaPfSr6QRlufetbN4V98pOf3OqhAFsD42zfhiWE+cCBGYPhng+pe+ce+chHtrkNVg8YaHNjjsyZn/ZM2btkzjkOhnlI5gQ4yJM9Ta4rGaQ75PDSSy9tgcPQSH/+85/fJMP0zf4ljs1yjnvsN6Lrfk5bmgJLaPTavQ984APbkhfCUjZAfdrFmZA7e4+0Sdtcqz/Ov+c972nXWp6i43SDjhx33HGt75/97GdbtsCeJvueLGHJpmin8uie/WBnnXVWGx97tobt5chdU33VVn2vcXL4P9uj/wiw9rnOGNz3vvdtYzAma+bgIx/5SFtOZD+OPfbY1if6qX3Gjn20BGf5zr4ufWMv6b72KlsmSptf+9rXbtpP5njCE57Q5r/a6HeEQbnDDJElSnvPjId+OYzLK17ximZzZGYWYjODxcGYywQiV2SZ/yjSRieuu+66RqQKcxFHpAu5Q5pKbxE1S7GyfmzAtGCm4H62fxq5pBvkiZ0pIkqmXD+LiLJLdJXvc+3+++/f9JnfHmJIHGdhFnEcYi7iiITjEgLCai+dpX+77757s0nuGY6PgMo1wXYkjgRNhktUcvOb37w7/fTTm+FCeEwwg77ffvs1AynqHQvf5z73uWY0pdiHkz0EAVIHw60szggxIiTKfNOb3tTd9ra3bRGdtPk0gjoEssqQikLskZh2vXYQcOVTdpEXg/7Tn/60ZQBm1YH8uoZToPT67W+Gog7ZPIppiUJbOBkOhTOk+MaQMM9Vzywgu3e4wx0amZ8rY8ihcD7aaQ5kU7TLeCCNe+65Z5u/YOXByCFQsgDIEwNNXuiEjBvDbb4RCoRSdF73IUaCOgEQksUhkUG6hjQIuhAZxrQyIe6T4aMje+yxR7tGEMGxcTbus3F/t9126x784AdvWkIagu4oU5tt/idfw0yLIE+9CJLf6Uj1h+zbC2bPlP7QA32yd0lfOAxEiW7SHTpE7xEvAR7nxGmxD/pLvpVzxzvesRFEpLZ0w0/X0m394Vj0faiv2kRXtckYuJ6eCf5ucpObtJ9DJw7sh7KNs+ARaTd2+qHP73jHO9qYIu3mxX4yTtN8OSc7aUlR9sbv2iErgqyygcgHHa42GjtE3PjIcgLbTC6KrBgL98g6ChQFtgip8Q2WF2zpve51r5aR46uQdj6sgjw6N/R9cxFHMoWICljolPsQT7KPtJnf+UBWpxEzvlu92uZ3bVamJeZhQDoE+yOI4/MlQegh2Xr961+/Wbu3B3H8whe+0HRd5r3Gk84hwTe96U2bPUMitY0e86/GcGibNjJ6yjhBf25ZQWBudatbNaJYWTwTR7gJAmMnwzYUPobVJDO+on0OZK4JJEyV1eQ0CgyfpYBdd921ZUYY0bkgukAakTTZBA5mLlCknXfeuWVtFgLt0S/3aM+0rCFna8yGSwAIo7FgVDiDrYXxlpVQLwcpLT8LnBDlNidDgklZpfYpJiUMVh7k5E53ulPbp4M8TdMRhOaZz3xmy3CRP7KAMDHEAhIkZRyEIBYIhcBN2cOlK3XI5O29994tSzUkF2SEIb7FLW7RHKHgY5xdACQFYZLBHALBUZ8nKrVxmoOgM7IWdKH0GfmUVeMwxrYE8ZRxQTaLOA2hLTIpAiK2RsamxlH9njb1v1m6h8wh7JWpMHaydoJlOkvvhs5qCATcHLoX4b/mmms2szlIAtKPgA6z/OqwjIZwgrEiB8ZdNnOaHAiuyzYqC8H3oICxK2gj8iFYf93rXhfiuB1g7skcEn+jG92o2WiySu6m+YchceQ/6Qub7mCb+S+ZNTLgeOMb39h0lXwMM85bCzone6hN7AWdkXXUlvF+xEIRRzZIW5DMW97yli0Y4tNLZ5aDOCKpNS4OtswYC7aGukj/r7rqqqb7xp/e4hEC8qH/2+joKeME/bllxTTiCJanZAKROkJYRMmkimpkvSgFoef45iJ9s4gjYZXx3GuvvdryDicyC5SBwbfUpL2E21LQXJm9pSaOFMcYGYthvYsljh//+Mfbk3icBSfoCbpZSsHB7Lvvvi1y1ZahknHI5sW4BCsLREPWiSzJ3M3l5JFKZM81DnIrYHMOCZkGcmZ/kmwbWSj9o1NFHGX3xvUiNGREFk8kb/kWORnKkbJsUxlmrmXvtMuyHfI5S86Voz/qYfRhSByvvvrqrSKOykP+Tj755OY4tL0c4XzEkQ6p2xgM+4d0WQanb8bZOOnfGBwx0mAOOFHlDPV+FnGEcsYwF3HUB2RU/XVeJpMj9YTteM+Z3zlS41gZ6mB5YV7IID9i1Yy80S/Lu0jgMIkwJI6yw3SIXDve/e53b8rUK9MhK7lY4ohsWUGQvS8ZknxAUukVmRvKf2FIHIHe8/V0XD8lIsj+chBHWfkaFwceQLeHQXBBvdpi1QaB5GslT/ho+jGtbxsNPWWcoD+3rJhFHAke4sgxMc6lHIwx8mLfDwUgLNLinMUszCKOjHEZfkZSND0L9mqItC0VWZIlPLNeOVBYSuJIOCmapYWxM18McTSuXsNAOS1PIYUiLw51mkJYrrNXzHgi0gjK8DpjzXgFKwfOnaG1BEW3ZOrmMm5kBvEgC0gGnWL0GctZUB5CKgKnf2RTvRzHXMRRVgGpc696vNKiSGthGnHkIAVr+oPYzHIOoB9WByo7txjiCOqyRUSAycHKhDrnmIs4GhPZxjHBQhxlPi1bI4/2V8r8jB3jkDhOw1zEcYi5iKOx0Y6h7ZMBNacyRpbi2dZhG9RlrCojFCw/6BsdkTShV+ZT1l72fUjYhsQRKRzKFDlkFyprTn7pAx2mV7Z6bC3IBXmWtaOzggqHbWDIn/2BVh6G5LYwJo76SB8ROEFlPcFN95Z7qVp2ng5KWE2zlcbL2NIV/t8yPBtnK08FqBsZPWWcoD+3rJhGHE28VDDHJ/qwRFNGygTLMFrKJkiWu0TtiM8sQzaLODKABJ5DEHHMlXq2T8nyNOERrWgzo0+whxH5EEtJHBl4CsTxjvu5GOLIqVBQ+1sQDPs4ZHkp6tDBFrTJXDEIxl3dli05aQqnbbPGI9g+YKRlAQVdAqL5iLx5o3N+Cgbogz1v82UgkCI66qCvjKtjLuKIMJEtWTs6K1DxEIiAqAz+mDhyTjIRHKV3yTHuc0E/tKPkcLHEEThnNqT2bZFz7Z1FHOmDOfCAydhpcrTlCD1khBCr3z7FoW4vN3HUfvbXPMloFbSh5kbf2Ej2Ebk0pu5TxjQHGywtzN1Qfow9okJfkCB778hJBSdzEUdzZw5dU7ohCJL9t/1KmSUbCwX9kYmzVE3Wizg66Cw/iUDKSo4xJo6gXbJ4MvzklV7ZRrPcxJFNoAPDtkiKOFdy7iddxCHwAX2ztJ4VthUkjlLdHIIJtHQqDY8M2edjH1RNHpJi701FyDbcEzAbyYekcIghcVQHgoqMWp5mHD3xXPuBpoEAeTpShpPgULwinGPlHGIxxNGYcJKcgkP2lZOQqVkq4qjd6rP0R2H0DTlWlmXOactnYJxFkUg9g6Otli0p5tYanmDpgSiJ2skRo+7vhULAUoST3M8FZIVMykyVXJr/hRBHjo7McTjup7/1sMyYOCJh+mGpWLvm0tVpWAriKAsnCysTUg+QDYmjzCn7UvoqYyewEuzNIo4gEKNzCADnp8/l+JaaOCIT+sDuuYcN88AF22tFZQh2xIM9xsW4m0/32OM8ntNg+SCQE8AV0Sv4W+aejFkxqjmZizgOQdfIND8q+eIhTn51vD1qCHWyCbXKRE6twLlvmk7ys/ROkmH8wAtMI44FiQw6hJghtuzGchLHIQTExoHusRfT6hX4ej6Cr3TdRkdPGSfozy0rijjKOiCJHIQMGCJC8IfREWPt6UWkr7KDSIzPDCFxjPGYVEERx8qQyaYw9ART9pAQjBWzQAil3ZGyUg7nZAqU5+nPWQ52McRR/wmkLKBDhtWT1qK6pSCOFJ/iej2R5Y/qP+XijCyf1dN3Y7iXM0biEWrEHdnglERi472PwfaF8ecMyMRyEkeOx5P4lro4hq0ljkB/6YkAzv4rdcqoDIkjI845riRxRKzYqFnEUfmyN0N91S9jMRdxpCeCWctfyGM9De38UhNH84Tg03tt5DwRW4HzMONYMEfuZXdkRa1E2KbCBhuPWTYzWDpYCjVn0+y6DCHiT88WknEsCMzMOzmjr7YfIWdWDhDBaXWZa3JDf9VBPtkZ+yjdM01GnZN5lKXna8f7B22B0PbaUjKEdlnFILfsmCBmPuLIx+vLthJHbaMHfJg+fupTn2oBuGvHZRpDtpKfNC4bHT1lnKA/t6wo4mj/oGVfEZDXWsgyUoahoDHGBISwMsj2JFhCka2gKEjMNKdSxFHWzv4ozsPmb+SR0M+1RK08isgxUGB1OirjZpOsrOc0I7oY4jheqqaElpmmkeNtIY6cp7HzsA9FqX55zQZlECXKhFCQWVAGpyfy9XCNzBECgFQnK7FyMGfIgKVdsjHrqcZpQISQo4UsVTPEonw6IIhg7LeWODLICJd9teolc0gQclbE0bX0QXZbVm8+QjvGUhBHBIpeCBYFb8oYEsex7hkHKxT6OhdxBLZDhoUucrLGwJwt91I120p/BcbGYRpcqy2W0b03ks1EcGVb1B8sL2wLQrrYZn7RfLD/SJ//0VMEp+ZUJpEc0RVyNpQ9800XBHmWf8tXyvjRWU8aH3HEEe35AW/GML9WnQQJ9hjzDZZl1a9cesDnkqlpZI1c+19luy1d8+/l05FKcjQtaAHt4ksEK9o3izjqhzropuum+XNtQbTpCztg//bQZ/tdPxH18l/G1TI7buJ1c/yxtvuf8WCzJLuyx3EVPRwzBqFxjQwZJbLPqA5LrSImmZLxPiEYLlXLcJh4EReS45UjHNRQiArOMf4IIKUZ1oksaY9MJ6c2LWpaSuIIlJ6hH7d1W4gjo2AsEWBPUQ/7ZjwpoafWx/s3OPnhPFEkisrpygohnJRtliMKlh+IhgfIELGDDz64ZQYXCvqIHDDEcz0cA7L15MR8Iz7kkgPbGuIISBg9k71EbjiYeiIUyBhnJzCRFZEBmKavs7AUxFHQKGOHPHIoHOVcxBFKX8fEb0wcQVmCWjYKEee82IDlJI5Ad8d7uzyYyIlWvcbf72wnu6l9bO2sFYlg6cA+0wVL1l5RZX9/vZiefJjP0iVyxRfQSbLuwRnZYtc5BJMy2pImrh3qAT21RIs40Qd73a3kWblQL59LxtwjMPVgKNmTPJG4YTfGfpc+ed0UW3CDG9ygBUXabbuDJWokFSlEzDzxPQ6wyF1lNd0zJo58Lt9lhZIOWm733EG9+7mgDO21/Y3caovtGTLnNTbGFOG2amarHPtCHwVx7BGfqB3GxwNjfJ1VEXqinRsdPWWcoD+3rFgoccT4RTeEcew0CDOlEGURdAZ7iDFxBEaeEBNqUc9Q0AoEmdBI+U+LYiz3UB6KOC31vRDiyEjL7HAc8xHHAsXlDMpgLIQ4Oq+NpdwyROqYlr0xnl7ebGw4sGE0KUvJYYyNBOXh6JEIDna+bFWwvLAMJMPOmM6XVfc/80VvyAkDiqTJRA3nfgjzT+dkn0TdJavbQhwBMUHqkFbkkPMSpBRkWKw2CNSm7ZcaQlnsxFK8jgfYJUvJlso5jMq0zUccC7Is5XRhGnEEY2eu2BT2iuOna8tJHIdA/pXpQSDZpGmrDTJQttEYC20djmWw9DAf/BD9kk1EZgR05opcD32hc4Ka+Q73j30ksOHmXD1kxrV0EDnShiJI5pyuDMsk42O/TP9kLofX+Vt57NPwvOBllpwrR7um+X1tFVwNy3IM7Q5bYTvW+JppBx9ZtkkwZdzdbx4sSavLHLCXwzHZ6Ogp4wT9uWVFEUeGfdbDGIRAat2TfmNHVGBgORwkDskcGscijh42GRIlzkiqX4TGyQ0fwgGCwlH4OU1ARDyiD46DAxlv8p2POBI8bZPVU/5CiCNlQeYIbynafMTRWBhn93D4FEOExYlOIxTaIpvE0SARnGv1X+YV4aboY0U2nrKUlla2djkxWFqQLUtOCBxiwQFMc/Lm3xKOTD25MKdIjQz+Kaec0uZ0TB7JEyOLmJrv4R4g/0PsZhFHhITcjYkjOGeJWhYCIeK8CmQd4fI/2RD1j4MXUIbspb1OVQfiRxe3hTjScfUitDKiHEfZloUQR07HnuxaGnOwY9oxy6YYAw8FyOaYl/mIo4ddbPOZhYUQR8ug7JQyja1PFg77WjCfbKI+y8xMKysIgo2FnjJO0J9bNjCIUuAM5LS3tgPj791JsoUc2iwjisgwjjZwS1VXFs/1MifS5JbtkLQiPIyevQo2vVu2lpZGEjkAhhS5El0PidMQnK4UtqwLA66dyKNrOQCky94OZNA+DMS4DpESAmgfU32phdFmlJFAm3KHGVhlapeUvjbVWCGXyK/MEvKt3KrD3iTjYPlZVtU9IjcZIeRurqUmTsOyHAeBgGibcUMcOVFP0iEMHKN26B+HZ6mgPokYrBzMiSyAgMs8Wk5C2ryrjVyYL0SJbMioI/qlF2TEHJIRcoN4DOUaMSODiCUiMgw+EAtLOnTCnrhhuWRClhKhnJbxAMGb5ThyNCSOIPNgBQDJs+xEjitLpk/Ik4wmfa8tHdpM7u3BRRzpq3KcBzJsycxeTYSpCLB+sAXq83/1DckouMZ2D8tf+jUO9PSXfaEr2gmuERR6VY+xHEO79EUWF0kWWM6yeYIBy8YILRI3JvhAv60uCJwFyOPy/J/9Meb2Omsf3TfGHvwz18bLWGqv/dyIOxtbe+SCINjY6CnjBP25ZQECxzjakItcWRqz74ATG0buRXIYZ6+P8Pc4s4ccMcaWsTiH2ndhKUUmgOFHrBzInL0JnCooi8FkVN2vDk5RWyy5IkkI5LQNvDb3Wk5SrqUbBNSeFOXb26Ed2sMpeS+VzGAd9lYisvXVG4TQcj1HcMMb3rA5e3/LaDoYastlDDpHxLkw4q6pPS0yt/pXdTD8HJ4+uA5RsFdGvRw7ss7xj8GZar9rlCtTIctozixVIwbIpH0j2q99tghwoogI51OOOVg5mANETHbL/HP45IFsmDNyilTQhSHpcB+9kKUW9LjW09nm174gcy6AQNSGWT/Xu9aTnraNyJrZv2R/EgJFhsgo2ZYBRMzGQFAEP17TY3lpCO0STCmPvMmk6lN9i5se+59tJxUQ1R4ogaG9TUiWfpB7JBKhtC/XwWZUP5WvjXROQEQnhgRZFtGYWuWg+1Y6EGX31iGQ8xSnMTEPlun8Tv8EmoLEaZlT/dQHeo7EjYkjMk6P9d0DUA7zKvBVT4FdQVBlha1iuE6QWX10CFD1W2CNJBo3dSpLNpWekwE2UP9qnJHNaUQ1CIKNh54yTtCfWxbIONjnYAlneMgODA2p/RAyD/V/JHFsSEXCSM2wHAfjZt/d+DwCNcyIMbAcw/i6OjiwMVmFcdscMgvKH56bdbhXZpOzlCEZlzXr4OiNgUyorMO0a8aHa2VI7IUanp+WNeCcx+NmrswZwqocBwdWc2iM9GVWdiRYOXDwCIU9ubVHir4sZL7oBiJXcma+ydK0PYbk0nWIRx3qI9vu8fvwfzJZ00AfZMxnZa31x/8RVzqjLPqLbFmGHgYtHgwa10u2tRVxHZ4fHsqlx8qsrPoQAslp940PY6bv+mQO1F3/0y7Z0lkETB/p2bhu56a13dwMya2xoJfj66Yd+lvZVIG74M/f2mcctNU1xnOYdQ2CIOgp4wT9uSAIgiAIgiDYAj1lnKA/FwRBEARBEARboKeME/TngiAIgiAIgmAL9JRxgv5cEARBEASrCPa+ejOGN3PYO7vR4cEuz0h4sM6Dq/YCB9sHPWWcoD8XBEEQBGsSXkHktVLe4+vLIJ5A97S8N0d48t3roRCv4YNFqx0eVPSuXX3yhL63FmxkeMDMg2Ce/PeGFm8F8GBfsH3QU8YJ+nNBEARBsCbhKXFP3XvtkNeLeaWU95k6vEfYK9W82gnBnPZS+dUI2TVvJfCatoUSR+TKWzHqVVXrCbKv3n7g06BeveVVf2uBOHqrybQ3VKw19JRxgv5cEARBEKxZIE3eoekdud6BaRnTK5K8Wsj7aL2z1zsuvTpprUD764X4CyGOXrGEWK3nTJz3uHpv8Vogjl7x5ytba0nmZqGnjBP055YNogTRjyjPO8f8pOAUwjF8f5mlBC/yfc973rMkSwrKr89sOWZ9yWJ7w7vevGDZ8sms99yBsaEYDIYXcutLECw16KN3PdJNP0svx/rpHZGWA325ZSne86dsOukrMF5izbgO61speLck5+vl3PN9OcV4ea8loiLjFawsvMQccfTi9+H+Ny9h9wJ0X+zykva1Ajr44he/eMHEUXbV8rys43qFr8utBeLIrvrSnI8XeE/uWkdPGSfozy0L6uW0vkzgawS+1OArL74c42sPIofhF2R8L9bn72Z9w3lr4QW69VkvX4pZLZ/P8pJdX9PxhYv6FOE0IJjGztdqfJ7Ni3mDYKmAKHqZva+m0E97h5AlpMkXmeyvGgZbvhjkC0NzfXN+a+BF/75c4qtLlhEtK64G4ujF4Q996EObc2K/ZgHBZMd8R9p3v31zOlhZzCKOXm7uK0e+doTog4QGOebUBUV++jACh18QGCBhPoSgPMG7Dyz4IAVZFUD5Xy2Ls+fkYiFyjBTyc+y6+ukDfRvWPyaO2uCjFF6MP3y5v8yWL0T5JK/vy/vCk5e6V4CnTEkKfdROL7cfttP/tcWL/J2XuBHIudYL8sfL+9plDLRF2/VBG5yv/2urMvTJtR5qMVbV5mmoMTEWytVO5Q7Hc6HEUVn6rE5LxcrRXvOHC9RyvvlVl/HS//rOvfHVf+freu0wPvqlbOPCT5sPZdeYKsMc+MqbuTM3rnFP9cUYq8N59deHCFYreso4QX9uyWHSPvGJT7SBQ358xYJS+fJBkSH7UIYZN07MhldPkdXkLQYmRpk+/8URLIQ4mjjGZKi8Sw3lX3TRRe071hRqFgiqLMbxxx/fPmsW4hgsFegnByoathRGL+knonTBBRe0T3jKLiJRBU5HZpADWwoDR8cZYM7OJ/MYz6GDmAZOhx7P5XwWC8YfcUaoOYVZMIZ0mR3zOUL754KVxTTiaJ58l90DFfYKIg4cvm9/S2R4Qpff8elMn2dEFth/JLIeujnjjDNakCCbR14tP9IXyQ6rRz5Da5n8lFNOaatbQ782Der3xSG+EDH0yUeft9R+JLeImrYXceQzLLnf8573bP3wyVzfVqeLiJY+y6r6RKYAkK7SX35QmRI2rlGHT5K+9KUvbcTFOPEzxuGkk05qfbaq4HOc+vqgBz2o++QnP7nJJ2qbrK3sJh2R6DnttNPaGGoH/TGG/qc8bfb5Uj7MiqLx168xnGOHzJUMvm/DK9f92llYCHHUBl9LMg7qvP7661s5Pm0sYeOcQM/YIHj6IPjTZ+QRfCJYwsnnU80vXUdkL7nkkraXlgwYK/OPrNtHa/XEeCK/+izhI9gmG8aefTWOyPSb3/zmFjizv+ZE4O5zy/PJzkqhp4wT9OeWHAbOZBhgwkQoOAWDhuEbbP8fDpL/iZA4hfkcyEJBsCjZQokjBUFcCdRyQd+Uz3HO10+OlXMPcQyWEjL9jKFvmYt46V7pJ53kdHx3emiwSz85jqXST+UwrgsljhwLgy57sFzQBn3kkKc5uCHYKltOOJ0Qx5VHEUeyzTmTVwmMo48+upEN3+Dm2GV3kEDExsoUUsDRH3TQQe377uQLceQLBAXOc/BIIXKI3Aj8rWa5HkHj5+gTkkdO6cs0kCmrTgjZxRdf3Gw8n+jb6gI2+zARPYkD1yKOyKAkjDYgVdpgzya/gCCRVf2iS57C1hY6rgxbwM4999xGlPSJH/G38UCm+EU2QJn77LNP880IEILGDqj76U9/evPpgBT625Yyn6vUfuX4Rr1vo9dYuAZpOvnkk7srr7yy+XurjrOIo3uQxfe+970tYEPg1H/IIYc0EooMwkKJo8DAd+oljsy1spBlc2Rlk81B5FwrK2meJWnKzzqP3JljDyiZI31VjodzBBrm7+qrr27jVXPHjumf6wWVkmTkgUyxK/y+edQmWyjIqTrZEdeSp+FK7GpBTxkn6M8tOUyEaIEQG5ShQ/C7ATPoJYzLBRk9AjEfcdQmAi/CICxLkVFZCoQ4BssBRk10LQK3hDQmbFYIOEmOYbkhWl8IcWRgLZOL3FeLYUUcOZIQx9UBxNFT1QiUrBK5OvTQQ9tWCBmy8jdISWXJinzIwNtChDjVdcifsmSpEDt+gZ8gfzJPSImMVS17IjO2XiAtdW4M9yJuxx577GZ735ANOods2TqC5BVxlPXiL4sMar/XDe2yyy6tz9Ve+mzrBP0GCQrvgESkhzojA6edkiql//bRI4lIUK2ECRyNnewmX6Q8mU8kENkuWNnjZ7UTKTZutrYg3JUgUiYfXNnUMWQ8Zeaq7WBOlMv/IZaw0KVq/TU25sjYaYO6EV9ygTzK+BUhRdqGxBEEDsYIcWR/4MMf/vCmfhkTfWUHZK9laI0tIIrO3e1ud9tsngUFrmM3hgGwdh133HGNvEtgzZKflUJPGSfozy05RAxS/HvssUeLMkR1wyweYmlwauAoiIkmxJzVrGhtCEps4kQNDoIl6ho6nyFxdC1FcK19CwRJvSZIvYRD1GTZQNssRdSSGIGre0UP9jMMl9NFtsrXL+cpPefrIHDVJj+123UEdKxE6mOYLB2IFEXLoqZpxNF4EUjXqUeZxniW8y2D43pLDfrnnPZy2s45tB2MjfFThz5oq0i9xm881sHaAdlnVG9605u2YMmcDoMl+sv5lUMiC+ab3JPPhRg1cuVasql8ckRmxzJTxJGN4DT85Ii0gR1QN9muSF8mlLOmD6WD2uN696qrbEGB7HJa7qEj2iHzQZedH9ob12qHa8cBpLbTBUbevTI1HIgs05g4ln2iy8ZguAdqFuiePtBRZWurtum/+pzXrhp//6eTNSfmS9uUoZ3GbiOhMo6ImTFn1xzGbzj27Cx77jxZsQcNaamMW8k9kE/ZJGM6HE/XkGlzjAxYZkTckK+5iKPrXUfvyOwQ/od8HXXUUU0H1Dfc41jQDwRGXQhoka0xcWS/ET/vtkQ0BV4OpFm//I++kLEiqAhytV05Vg1lZvkL8qkcxMfyfZUn+2YJ3fsz3W98ZeKUJ8s31qMx2CNJptve9ratrCoX+Vcu8k5fYaHEEbeQwRTUIbM19/pqmZktETwXSV4ocXROMDLcDmG8auXhuuuua+dmEUcEeb/99mtbH4aciHzK0t74xjduGdah/VoN6CnjBP25JQfBEXGYYOSRQFEsymriDLRBoxh+ZyRNBAcikptv0Chc7YWQJmcoCDLhZ0hLwYs4iphEHYTSpFMkQkVI1CVKcL/0v9S6VDJHgBASTulzSxP2pHBc9oh4iIDxQHS9xV5mkNEhOJyc5REK73cKSHA5KRlNCkFohxkd48AYEED9IGD2PYiYCPVQoBFdKW39d62UOIX2QAOnOA2UV58opGizlh+MkWiccVAXhTd+FFUEzBA5x3AxzEisyJzyDSOmYO2ArDHAdGHXXXdtc0y+BRb001H66SB79nOJiMlcGdtZ8H/7BEs/BWPkk0zbJ6T8AgfmUL4gk/Ogs/SMs9YOmQdZmL333rs5O9mRa665ptXj/xw1eWRw6QLHyJ4w9vTXXjBl0zurHfZxlryrp5bP6A4dsddNGUODD5y5LAUd1QakEakwjkPiSK8vv/zy1n+Ok11ge/yN5JV9GgPZ4RBr2ctY6R/7xBZwxAJy/VIOuyQoZmPsmVMXW8vu0FW2cC6iut5QxHHo1KeB/CHyfIJ5ZL9l2hCiacQRcTH3w7HkG8rWm1e2m4yao7mII5my/MrfjImje5AP8y+IJyfTiCPQSef5zPIjY+KIkMmWkn31IsrDgwyRL/0q4ogYVdvHxJH/8jffZTymlWdclFfEkc+cjziyO3wcWZ5WrqOSLFtLHPl6AdcQgjBzQCerjK0ljvzvthBHY4cT4UfGvlBzsNNOO7UM8Xw2dnujp4wT9OeWBQYaITFxO++8c8vm2adBoExWKSElFmlZNpABMXizyA+YEHtVbCa2v4OSEyzKa0IpPkVSvsHnhJx//OMf30gpRUd+TJ5zUu6EkqOjZIyJtstmOLSXwyPQ2u0nkmhJgRAzzpWWFzUxWp4YF8W6roRJe0RsIg0KzwG6t1Dk1X4QCuvwO5I3JI61TKGfCLc2IZIcICG1sbmUbAj1U2D9NBcIpPYwTqIdY7rXXns1Qu5ac2KsOGvXcswcFSNrTBkoYzHLCQarG/RGEEMXLHnZWM8pOMfhlH6aXwEfAihSHjvWMcgeuWUg7atSFoeCmNIvskSGS244ZnW73j4zeky22AJBHB0RiMpkMOLsBAfG6CpDtkcQxFnTBYTA3/YmIW+u1Q4OliND/Ogg/UQQORBEkm5wBByDfVDsluxdQeZKwOh+WSq6o27ZIWUUcWRzOEv2CZkzVvpbjln7yz6NoZ8ylEij4IzDcR07JMuqHk4c4XAgK8iOIJUjY3fot0CZLvu9srIbAQsljuSZ7WczZdxci1wgiAshjubJXltzb+mWjBpn5IGMzkUcyQ45kClExoZQvvlUrlUd8j2LOLrXtfZK1rLxmDjqB5/Ar9DBMZRBZ6qe+Yijv+2F5MfJ9Bj8Jtnm07eGONJR8i7oESyNdYN/qyTFUhBHgaJ5QqiLoG0v4ijw22233Zq/rWXygsAPcRyWvVrQU8YJ+nPLBsoka8BAWwag1F6LQGkJQzkP4Gxk/OYjjhSdkBnkoVFkSMuIEy7KXcSRQLjPucq8UUbkrxTFO5dMPOJUgq5Mjk52kSA4b7I5D5kayw31tBUlZvA5G/UQflEsZ6vMAgPkCSwKXsSRglNQWQ5GrRSHE6SktVStXIbKE4Kc4dA4cVIUldMbG6QhGDWZliKOoD6E0xwN22oDtOUQ+2Qot/lyEH6KxnENs0fB2gKSJ/hgYMkp/fRTYEJOh3OLaAmO5iOOZJoeyvwNDTsCyenQcSRSZgI45pIl+qxNlpYEVt67xwE5T74RT8FM2QdyK+snsOPUXIdQIlDaqmy6SY85TwZfxrEifVkd59inciCuld3TpiKOdF49rkXsym5pq9UO7WJTtEc7OasiowUOtcgrvZpFLARsCCqdHzochEM9RRyB7WE3BKjsrDK1QcBOl62czOVc1xsWQhzNHdIneBYMl4yb14USRySM7TfPSEidJ5vzEUd2lE0XLLlu6APJGT/CvtIX/5tFHPktssQfFAEZE0dj4CEMNtyK31Ae/S4YpK/avxDiSO88qUy2BHhF5gp8B7++tcSRX6sxoTdD/28c+F/JIVgK4ojcOS9JVG2j78h8LYkDH0vnl5I4Co6Nn2xnZYpBGfysvZds1FAuVgN6yjhBf25ZYQAIYC2rEA7ZPs6piBMshDgScAqA+MiMlMJCKZm9C1K9BKKI4/jhGA5GtIGAFVGcRhwJXGUHkV0OppaxOAEOhvFm7AkeJR2SMcpDSGQ+CtOIo7FBeAnOUBmVO3w4hsOQyTCGItIh/M9SnPpkYmdha4gjY+Va7R8qv/1A+stZhjiubZh7Mmwu6aTAbvfdd99iqXahxJEsy5JzGMPATj0y/kVMqwyOmS4NH47hSCo485M9mEYcybz76Qe9oKMORhl5lYkTfJFzjl7AiUgW1Kmtw8zDNOJoCdlqAl0cZm60U3vYDePH+HNGdFm2r/oD7BPnwj65Z6hPQ2wNcdQvGSc2qc4BXWYjLMNuFOIoGJBB9HAMMo9wTIN5MDfmQTBAHmTPkBPyzdYjB+aBLTYP5MZ2ibJ17DZbS1cQGcF+ZaTJN9nnO8bECuiEhALywV+YV3Kj/XTMdhCBhaBEW5Vl+4ZgQLClDfwpUkQW3O86IPPkVnZaIOE625fYcEkS46NuZZFxvhT5Ub9AD5muQA3IuiygMUGo1E3O+VS+WjCGfFuF4hNk0Yy78vgM9Y592izoO9Jdq2H8O05AtpWv7/ppdY9se4K7/Nc0qNMYKc980zft1yflGztBc42dc+rXbiSZvSFH9WQ4v22ObJFRJgJdMsYOWElAlAUlyjSuyC2faszImbrJlfLwCn1xnev5dzZMvyqDvJrQU8YJ+nNLDoNBmUoAGVC/GzSGlSJYSqF0hAwWShxFSRSWYI1BKRgEAkPQZhFH4JCUQ/BnEUdZEOdEQfqjjOFhggmjflFYy23bQhxFjZRhHCkrd0gcGThCp0yGaggOQmTE2VrWm4VtIY7DMYEQx7UNukGeK/MGHBV55FTIvKVi884owkKJI1mXEeDwlDmEMhhdZKci+GnEEdgD8ohszSKOiBWnLtPkd4Z5fGh/EUd7x7aFOLID7IhMUGVzYEwc9dffdJmDGYOtQSw4pMq4jkHnt5Y42ls3dDYbjTiaJzbUPNzgBjdoc8eWGrNpQBg8dFgfh0B4zI0HMRAFPka2yVyaL37JGMtK8lfmzp5cAYK66ARyY7z5FKs+7h/LP5Bxsi/zxAcoV0BFb5ARck+/XOdgr8mDbL1VNvrJH8km1ypaga4gpII+7SMTDv0jT7Yd6Z8MqrbSDzKEWOmHLWXq8lAmf6MM9l+CRfaM71Iekk1vjQt/SwcRHuQSmRI8yt7xRXydNpd+zQK/pz5zoJ3Kla1DPOmEcUfGkW1ba+iCOeOHh3ajUMSRHtBbbdYOqxMImj4OA1tkXZ+MH76AH2iPNlhJNL/4irE1TsbTlhc+mV0TpGqXgMKeanqHo5ARwYA5o8/mSyDKxvDt7CTeQl7NKdlcjT61p4wT9OeWHByQ5aJhKhZMMAEitLIaBLoM6EKJowFGOqWKh0oDJpcxUD6nOBdxNGFS+BVhTSOOUsYEiUJOM/QmWT2LJY7GQd8J+tDQj4lj/e0LCAR/KGD6SnkpylJnHEMc1xeQH0awln8K5ICcl47Ro1oGWyhxZJwZffsMh0EQ0DE6R0/myjgCo8xp11LcNOKo/Zb2OJOxfgMDrQ2LJY5IgGCXc6CDhWnEkf3i+DidCooLMjz675qhPg2h/BDHrYN50mcEjLz4yRmzmdPA3ntAgl2T9XE/MmcOOXtjzU7zJ+bRYe7Iizklp3SITiAv9qebEySC3Arci/xNg/PkzR5Z7VYPssWfkPXhffwLOaA7rpNB5JfUP7a9iKD/C1rIebWVDPAJ2mpslOV+mS79RnRsH0FmXWOriLFTjkSP88bKKhcZ10YZWLru/7JsdFF9+mU8qjw/kbLSr7lAr+sJdfcaX33STwd9Nq/+px/qnY840k3jps/m2k99G5JGcL1Ms/5rr7mUeeQDbWkxv8aw2qZ+40ZfXYOYOl/yYIzop7Jwm8pYgnFSds2pdim79oeuRvSUcYL+3JLDYFoGQFLGk2pgKKcoxiTUBC6EOILBFtVJk4+JqckUIRAoRp2wTiOOJtBymUip9qgoV/oYyWPUKRXlUx7nxHlwqtpv4imzNlNK/eVolLktxFHEx9BbDqtN0aBcRFE7CTvhNq4e2RcVD8eJoeIAbYyfa4+jVw2JgkRO5YD0x1zUnBSMCeLoXIjj+gG9sYxi/sb66W8GUWYCgSxjt1DiyMiSGVH6OONDHywHjfc4TluqlmkQBHJi9KGIY2UgXcuJye6UjCKJriWTdEtApq9FHOnythBHTlKWRhZ2mEnSTu1hN4ylujluYyerMbZPCIhyOBM6Nw0csKwFolr166ulR+dmEcc6BxuNOAbBGEUcp+1xDLYePWWcoD+35KiomZHDpBllxpyhRWpkxjywgkQxigwu0ifLISU+a38KiEDse0B+sPvaU8FIM7j+p37lcjAcAOcyfDjG0pNzCF1lVDgEexQIm3ZxKgyzlDUjzMHYByLy4lARL5GfMi1hMOpS0gy/uh2iCWTYa0Jc5xwnJPPBgSCDzmm7pQgkEynTVo5PmzhVDgsZ1lfED8GUkdAPDljZyjXexmRWNgOU617t5cg5JBt6jZssMEJh/BB67Zf14cTLsZpHjhYBQHjVHawtkDcZZ8t15Am5qIBIgEUGBDbkm3wWIbLMbA/hkKSMQefcT1/oiUyYcmU2yJitFoI1ZYIsHnmUpSFzSBlDLzAUHJXckW/ZA3pHP2RnEEUyalVAJq/2bcmC6B+yi/jKHgioEDryrk+gnNprVn2yhO9v8l2vRDE+lpfph4cFtJUeIXbqEXBZwVCGPZXagcyyFUh22Sd7L+l32adpMH6ytTbJsxvay4ZaYangEonWL+WwD2xHBYvKFdDSW/ZqmIkMgo2CEMelRU8ZJ+jPLTkYNHsJEAxLOSJtxpwj8U43xFFWA8HhKGzm5cRk0kx0ZfKmgYNjsGXeZDUQTSlihpvDQuKKzHBE6hSVM/CML4JqL4GoHBErAy4T4TpZDWVLmbvfeX1BtBA42U6k15KE+9Un4mfoGXZEkxGXVZAttM/D027qViZhtpSHJMtW1JKC/8mKcFicgb6ol6OQ8XQ/p4Qo1qt7EGUZWmOrT35yfLOcEhg/Dlk9MiWcGefrnY3+tk9Syt5WA87Wk60cOyfIWRs37fFKAeMl01LZo2BtAIkhe/b+CArIjSygDJ0HyxA8y1SML3mR9SMn9vAIruiQoGqanDlHppWDZCFB9B8Jkq1EgmqVAdRLzsg+XRX42MslqBsuQwkYLXHLQtrkX/ZDO+iGbCL9RJhk9O0pQlaRRjYIsbzRjW7U9pEhjAgzO0QP9Ul72RXtpOvk2zjQbzbK06L2UpJ9dbmXriNtdEk/lUsXkD0EUf/ZO+PLPtlAb7ltrmALUZXpZzPsFfW0qSdY9ZceCngtbSGv2qy/xkQ9gl1bWMyVfVjaZexnLecFwXqFgEnWXwBHVypQDbYNPWWcoD+35JAJQJ44KGRH5gKRkqFCSvyvnAcjypjKaNi/gMQw6uP9UUMQAmUTCA5O2YiXiB8JKzCWMhYMueyDa2XpOAEGfmhMOUjtcA1HWfWri3NCbi2xM9oiGPerS1nu0XaE114VhpoBd63z7kPEGHaZQ9c5z0GUUVcWJ2e/hOvdb6nPT85WG6pvfspWcibGVJ2ypPq6EAXhUI2dMa+MkzlxjtOXhTUGNSfag6zWNebIef2TlanlzGBtgOyaZ2Ss9JNcykDTD7KFlJFL8kRuyYLgwby7hszMIiPuYbhtVVEm2Sdn6huTJrKmfLrgWjJdsjwsX5kyldrBhpBh/3e4lv6XXKq3gkJ16pv9WLKR9EU59riR3+qTgMhYaIe/nXfOlhT6pn72peRfO40T+XfOSgOCqU62RABnnPTJftJp9mkW2B76R+/YA4G4/gjSkFP9RXLZHe3UN201p/4/nCurFsk6BhsJEhwCOVtrJD4kmOiIQDjYNvSUcYL+XBAEQRAEwZqHIEtyR0BchwRP7U0Oth49ZZygPxcEQRAEQRAEW6CnjBP054IgCIIgCIJgC/SUcYL+XBAEQRAEQRBsgZ4yTtCfC4IgCIJ1B0/Fe8Le65wW8mBSsLLw+ioPk3kLSr3nOJgNDzp6oM9bVeq9r8uBnjJO0J8LgiAIgnUDT9B6ZZrXGnn/pzdv5J2zqxveHILke/ey9x8Pv5wUbAkPAXnzgteD+VSjt68M30SxlOgp4wT9uSAIgiBYN/BKJNkrX/PyXk5ZrLVIHL32yuuZlosQrCbICMuaHXPMMe2drCGOc8N4kXHvwfVBkRDHIAiCIFgkfMzBZ2fXInH07lDvHUWgEOGNAO9n9tL7EMeFw7J+Mo6rFJTYS4e9aNeXauoTZesZhNDLvb1Q2dcrvBtroxiwYG2BrPqogM9n+gKOlwBvBMg6eEedr0F52fhcH07YiPAi6LVKHO3P9HWwjWR3f/Ob34Q4biV8IceWjBDHVQhE0SfGGCGfGfOliPUO+4QQZUJp34mvZWSDebAaYcnmsssua/t9fLLTS3/XO+iiL9JYjvWde5+PNA4bFYJ7S7u+6GPJ05e4fA52TBw5Vw8V+CKP63xJqL6pPh/c63vivqLli0futTdvTOyU5Tzyow5fJRp/2auu8RCILyjJtrne18R8OcjnJS2z28fm62f2tLlfG9hmXwrSBl8Y0+9h2QuFNkiICD60QXv8PqxLMFL9Hf6v4Hf3GQsBm/4Y+/ELt4fjphwkcUzmx8TRF6yM3Te+8Y1Nh7lSp/L5YeWpl+xXu2p+Z82RPmmjvjtv7F2nLvfqt0C0vkmvrGlfSBvLkS9Vuc/9Bb/jD/7vUKZ+Dj+9OgvK107lGzPtHY49hDhuIwwmxVlOUDBC6Du4vtG8EYgjAWXsfEfYd6x9/mwhxjUIhuDk6OhyGTVg/DkOQZ1lm41AHI0nx+J71Iijb9tvVOJo/n0y1nfOfcPbcc4553SHH354d+ihh24ijsaM7ZadtXJkzB7+8Ic3gklm5stKIj7uk+FF1M8444xWj089FjExJz716LvnL37xi9t3xH1n/VnPelYjAEXW1Oeb5/6HHGqD75G7zkMi2n6LW9yie+xjH9u+LS8DibzwQ653jWtlJX2D3fmtsc/00qdALef7Brunc88777zuzne+c/u2OllCSn2a88ILL2z/8x1032zXX2PFR/jdeBhL34XXX5/5M1YFhOmiiy5q1z3/+c/vnvSkJ3WPf/zj22c0jVdhTBwROisIAsLDDjus6bfP/yKNfJO2CRQFTzKz2oRoeTBKm7XFPer7zGc+08ixwEKZxx13XPs2vs+GateJJ57YynIOGSQz5557bvP5+uPTpdVWcqQe39Q3x2TB9+nPPPPM9klhY1f2rsbHNZJP5ky52jHLJhpXJFY/zLPv3J922mmtDkHFkJSHOG4DDLAJ9U3n5YZo4vjjj2+bUTcCcSwwFAxLiGOwtWDIGGzfU98eslNGdCMQxwLnectb3nJDE0eEDIlDXJAUGR7fNGe3DjzwwE3E0YHQccYcs+vI5pFHHtkeyhiSnTFkAs8+++xG4ir7I8uNmCKPslpkHGlE5nwz3D0OKzd3uMMdGvGSHZM1QwQRlUMOOaQRHCREkK5tCBNSiTz6Frp5RRZ8Ax0pRhyV629tuN3tbtedfvrp7b6FAnFEwk444YRuxx13bOUiTYi0MTIWSJFzsmTKRmS0STbUOdlH/sG9MqD65Rvt2mNOwDibG9eYG+OGTBkL/TdeZRvGxLGygQjTvvvu28gXwsiu8P3qVDbSi9Qp21wIpvzPveZXe8wJco0Ma8vNbnazRprZJ4c5QhLJC2JJZhBrRFDixPjqC5Ab2yDcLxts7pV91llntXm+5JJLGkl12INILhFN44MsI5iu14dpMA4ItrlFYv1Nz2XPEVx9qHtDHLcBhJegG9TlBkWlMCGOQbAwMPIM+Stf+cotlq6WAwwy47+RiCOHt5GJI+eM4Bx99NFtKbOcJ8f6hCc8YbOnqjn5U089tclHZQg5fdmvnXfeuRGyaUuSIGt0m9vcphG+ctrIlQw3H8Q/IC5+RwAlGgqWJWW9ZIaRCG0GpMfrgpAb+oGQ1LLzM5/5zO6II45o76DUVueuueaaRk5kqwrIDNK75557NtKmnwsFeTFGiKMx0i5tcF5Z+iGTW2PK3xo/10vYINCIHhJVsqd+hApR8rt3DCKC9sqX/1Detdde29361rdumTRjB2PiWDBvCJnM4nBckc6LL754U936cOyxx24mB8ZOmepC5o2jumVzzUXZJW3l625wgxt0b3jDGxqxrvPaeNRRR7WspnL5QplZvKNkAfyfjHjK2e+IvTmUYWQLAcGls+ZteG/BOdvCEOsi3+B+ffOqIgS+lrrXJHG0V8AEI1L2I2D5Uqlf//rXN0UGJpXwU1Y/67x77NFx3gBRWOcJr0EleM4R5C996UvtWr/XYKtLpCYSkf5VjnqHgqAMqWj/I0zj/RlzwcS4X5vVLfpgnKYtVeuT8k2e+ihAGaZp0E5tcogoXKvfFMQ5EZBoSVv9T79FGeoheBRWm5wbO2R7SUS1FUmJbJxbiFBVXYyje80LZ8y4jYmj+Va/67TFfGwPchAsHGTFvJAx8+Ung0ZWOSgywUDSL/NI1umr84w5WS45qGUaOqkcukFH6BR5di+ZLbln4GUuDjjggBZ1WxWQaSjH7DrXkDXyowwRed0/H1ynje5XNzv00Ic+dGrGUdv933X6zwHOFQQhBPrtoGv6aUzIO/vmvP4rg47SS+XTHf1jH4ydcR7rnnkou1S2EuFYiF1STum3vrAXMlSc4Jg4Gh/zUeNrDhdqB9YSyDenzoGSnyHGD8cYKxlCWRsy6UCOLFvax42EFGEYwriedNJJ7TpkoGD+yYpzfiffllTVOy4HEUNehokHy9QCHfI0xpg4Kh8hQ6AQmWo/8ilzd4973KP1s/RrIWADEFpEkF4MIbOKdGtv1YUU3/e+922k6aqrrmp+jg8+6KCD2v9l05wjd8abnrmfDRgSQeDjLQEj02QUZhFHPKMSGNdff33TFXNiOZrP9Te90ha6cMopp2xqs4PfttyNcLmWL9t///2bfRrqgyV/xNE4li9zvX4XcTQXNTfI8BDuUbf+ylTy6YISc4ags4FsBHsxy1eaP0GKsT/55JM39YGsyIwLVK644orWX1hTxNHgMV5SupZvCRlBMukHH3xwmyR7IigUxfJUroGmnJSEEjCaJtqgUl7XciTKIWxStZYbGETCSuFNGGE0QIicdP4ee+zRFOnVr351e32BySJohES0QziUYfIrXT6fkSb073znO9v19s2IaEU7t7rVrVofS/GNA+cgpWzviwjGZNuXop+zhEPkQxgsU8jGaLPIl7CJKkQtol/nGA4CLQIRKdVyAjJn7I2D9oKx0VbjpN2yPZYijA0HPxf0RZv1WT/cT1nNDyEu4mjsGQb7hBha44tccto1/sHKwlwyvJZsyKuIV3TMqNEje6nICDmmc+SDUfI/OkeeOEFywFjLMiBQHDO9IIvKREjIm0w8mWUkK5JGjOjd3nvv3TIijCE94awYPbJMP9kGus4GcIyMc8nzLJBDDsR9ytAGy1nawM4UcSSrSK6+GwsyrR6HqL6M7xjGwPggHXTZOBlTbaZ7bBybZzzYEzp8v/vdr/WP02GX2ECZB0a+SATixi7RZ/ud2D9LYJZAkcm5DH/1hZ3Rb+PJxrIXu+6662bE0fjpw6WXXtrIkvrIgb1rylhPEBibD3sEx3vdx8TROJgXLwQ33uZ1eFS2bwwBCtLIabOxs0AmZX/VywcNgbgjlWx2ZQyLDNCjMYqcFHHUfiQRgUUSxm3XLnXOJUNjDIkjfR+CLvO7CO+4LgdZ1i7+nVzxM8YWkbF0XAEO3Tcmgq4hjClduslNbtK4AMwijkX2zCU95xcFu/TNPYCM6YtrELppbS49XAxxZHv8jcuMiSPQfTyBvRFw6jf7xD5Y5pcxJifTAhQwh9pB3mwlGPcBT9LXaveaIo4GkwFilGT8OCJGTIqXMWTAd9999+YUCCeDxrnst99+bTAMPkWgTDpNWJQn8pbGtafARCnfJJpo19irUJPqfg6CUNpTwAmYKP/zt0hOBIQwlcMz2RTCBMwFjkZ7kSP3ahdSRyBEq3W/n4w+ZyCSUJd7EELklxOdNpmiCk7I2CFqhMWY+slgOE8plMfIEA5GR13aIUXPcahHfygSIHJS2RyGc8ZUtEVgLTlMM4oFisgomTPGwJwhkqJLhKKIozHWNk5YtE8BKL5xMe8E2HXBysE8k03yIAJH/siVfVQIBuMq4EIMzbMD8UdAECq65eCMEBPGv7KUltVkN+gtw0venXM/XWQD6KL7yRGZQDLdW+fpsPvdS2/Iqr1cHI8gUBZuLiOIFJFr/dNP+ul+/WKLijhyXtrIjjC42uA6GRrXIrec3xhsCN1xDT3WD9B++iejICgTQBkjJJJtMwZ0j+MUHCIa7IixA84ZGXCv+zg98yHrYulvVqAJ9Ixt5TiVw3kgrYI2zndIHOktB8XWOic4sD+MDREkrKfgjqzI5AmKzMcQY+JoDATcfIG/hzAmbC37NgYZ5fjpEpI3lhmyYpzJJR+BEI6zn+bK+LOxRT63ljg+7nGPa3I/zg4CeaAL437NhbmIoyCOntOXsS7yU3SCvLI1Mvr8C10TLBlz8uwc+0E+6drQ/5gryRh6M1/GEfyPH6R7/J8ECj2r/moT/8j/yeyN54iNUae+LJY4mjcyJwAZQxv4yze96U2bxsfc6D+CzZ+yP14dNs32GEu6zGdLCg3HDNigWu2ANUUcCwy0ARQ1m2idYaxlIk0gARJ16JBM3JA4gomUrrb8S/nA9YSNwUYsSzA4pDJ8Bg9MJEX1v4L7RUqyChS+wPBSEqSsJnUakD33ywiWoIH2OV9L1SYdweToLBkRDodJ5by0a5qBKphowlvEsSB7wQEjZ7U86Ik0ZXJa+qFNMkCiV86pHBunhSQgcvqHoEqRM5acyTRBBe2u7EXNFxBaxmr4VLW+M9Iyohy2eyk1hbnxjW/c+uNcsPLgDGRjkHrkxfyRNXJC9sgox2ueEZAhcQTOlHyLfov80AMZSHrLMZQe2X9lycq2ETYA6I9gj0zUdQicjCUHUQ4UyCYiW3uPZpEbOq2tHLlovmTV/cqlD0UcOSTtJ7v67SCrdHuHHXZohnyoe0NoL10aEkcQjCLDyF8FbMaMbaJD9MN40j3OXxkIBZgPOlZ7lIwznTYXbNJcy4zq4LxcX/Oj7+5jV4s4so0cMn1ki6rfCABbLTM07M9aB7/DyRpDNnXoaMfEkT02Bh6UGI8BWy6DNI04uhd52GWXXTabdxDcC5zMO+KJGLDVpS8FPoIs0IXKNm0NcXTwDfTD/5C+Ieg0eS/fuhDMRRwFmeyDxMSYBKuLj+Er1VlyS/aMhQdMlGs86OSNbnSjzfwZsAMCLbbE7zAXcTSvZJ+smz+ZPYmLoa/CDSSsZGZr5QPoMvk3zq5fDHH0N7vh4RqZxOIiBf4S4TZv7BvyV7ZsOD5sXNUxBFlDivEndo69rX6AbCU5r3vXJHE0ERTRgA8H0KRRCJF0bYpdKHEsQmQChgoqO2HJVEas6ppGHEX6lEtGrBQUKJ5spgkn1EjPNLzxjW9sk4asDZ2X1Prw4RhlcxSWchkAguxQNketT3NlEbaGOMqgilIsG5QQGWNKJktDgYAhoKyUzrUUnCPlvOcijqJhws5IjMdl/HCMKI8x1kfZD332kzLLTFk6rMxHsLLgrBBH8zrUBYSCLHOEonfGaqHEkTE01wIz+ltwn0ibs67AYRpxROrosYzGWE7YE0ZVYDIklUOwJ3SO7o2dpz4MH45BqsgqnaWXDkua/uYIOJoiuWNo70KJI13TT3uuymYgIJaUBW2MPXCwxt5B/xFIzpOzm484Dh3E0JGMH45hP2V9kBfL7NVv9yOtSDMbsV5g/siXLRGyebJNbLWgwtiysRw8UoIAsct8gLGQ4EAYZYz5MPMyy/myf+SOv5H5JatIAQKA0Jh3B/9Ehr1CRaaXzWXf2XU65z52lHxIuLDfAotxveogu8pmn9l4ZI0955/4Uxl3Aby2kzV95DP4LplJP+faolRBGOJo3IZyxb8YI2Ml2FAWedUuxBXZ0y6/a7++u5/NkWiwyqBu4+ZvZSFT9Ip9ocd8v/YXWedXjZEHfaatkOEI/s+/27IxDvrYKD5or732aoElfRQsyDTTj+IYuAQugiMUF/FTsIU46mfpovaaJyTefJsnwTabWMvVrtUnMie5pC59N4ZspfEpX843sytI6zRuoHz90M/a5mPFhJ4rl91kG12nzYi5wImNmSW7i0VPGSfozy0KRRxlGYZGjyAQbAKO6evg1hLH4RIsLJQ4UqbddtutGYuxUzC4Mo4iCEo2De7baaedNtuACmPiSDA4IUplmVd5w4NSUqZZk7m1xJGj0/65iCNyYJwoN8VShyUrUfBcxFH7zSOSOHbGY+JorCkRg8Ywjvvt/rHCByuDIo7kdChjDJZgx5Ok5tXfW0sc3W++CwsljogXHWSkx06NHMvcDfeBjSEb4H56OiTDMCaOdEkAK4DTlvGhnbNkVXu3hjhy8sNgcxpxVCadRFQEWMaMA2HD5iOO+iG4Y/OGNmVMHJELddJbqwfjPiNPNb/rAeZPP/WXf0CaBbKyQuSITApujZvx5X/INNuLFJE3BJNzLxmdBr7A/nvEwHzRK2QI+SAf5sTBJpJNOsPJy9yx39on20QP2W722VYjJAepZ5+LQIGtTIiJOhAfpIS8S4w4x7dKzCBlAgS6zj6zv3QT+eIz+Ohpdp8sICRk5YY3vGELBMlxtcFYSBJIEKhHfXRZNhsBJEN8NVKFsBsHvoFc609dY9ysRggGBS36LTlDB4xL2RBySReMq6VtczbeSuJ39xtbxHLcL/XRTzo7nF99Q/r0zfxri6CZfMjuCRiQRbYDcZQFpZtsED9Ht2VB+VL9wissNeu7a7UbX9B3/TJX2maelYnfuIb8kEtyUSs900BO2WX+HWfSD7KNJLJt5sZ4CXrYIjJEBsz1XDZkW9FTxgn6c4vCLOIIBpWBL8KyvYgjwmX/lkke3g9IrDZQ4llZMRMvAvNzSDzHxJHTIQBImXaMhcC9DEr1dYylJo6EifORaaCYBEvdMjP1UNJY0Qo1jgyqORliTBzNg8ibk5wmpAxYtTtYWcwijiCjz3hymOZ1exFHBpfcM96c7BBsAEOvzvH/CpwQJzZNv8fEURDJsTKwY9nn5BGOWYZWe5eSOKqPnum385yVa/RHhmo+4og0qkNdQ1szJo7mXAZCu6dl0DjDubJQaxHmln1GzBABWSbZMLLtHFtprI2FeZX1QcA8wMCZG7NhkmAW2DVziExYzSHLZHwoW+aGXMjgyaY5yIxxN7/aoD3qJ5+IEHKJJA3nn76yuQiN9lX7tRNp0gb3s8fKLp2ly+o2DjKRMmLT7D7d9TAj30JutcF96iloj4eP9MFY0SM6U7pM3vhUe/1co63sQPmjgjL1QX3G2/xY4h4mGfgrfakxQcRcM267TKfgqPRsDPXiEDW/xkmbq1/4h7FRBx+rPfREQGpOjYX/kx3j6rwxqjaZf+PiIGP+rwxt1y66VW1mB8mffhsbY0R/2bmar1nQD+2m3/rhXvVVP4yX4GIoQ0jtUIaWCj1lnKA/tygUcZSuHjaYUHI2CCCSReA5A0SyMhzOETCECAEaEkdp5rFjmIs4GjTlEUKCXE8CD1m9/xto+7BMxjRlAmVJEVsSMFF1P0emP6IrbTWBUuGcGIflWmNAcQk1gbFvxN/TgMhpO/JZWT7CxAEgt4S4CBjhsFQ9F3HUJtEPZ8cw1niYG+SWM9Vm58cgoMrh0ItIgGtFfpyf/jjPaBlbSyGMkjY6r+/G3nWzlDrYvijiaJ/rkDjSKwQGGSFH5pm+IY6ITMkJIyiwq4djYLhUvVDiSKaVSR61iSyTNcHTUA85KeTIE8ezDCAZI390h6Gu+7VXpsNyruwCMNL6T09qLxZZ1RZL9P4/K8hhoxAwKwpsEmh/7eWUMR0Sx/mWqv0t24DIIhLa6+BU2FBOSVtKv8eQbWCXZDWGmVbOHHG0NMqRaxP7yYZwghVAOsy19g/3fgfrE2REEoIvmCVTQbAQ9JRxgv7colDEESkkoIw4gZXxEvkziuUAED7OwjIC0iS6waQZVssLjCmHwxlwaIgnMsS4gjIZbAayMoGImXPK5HQ4JY7NNerisEQoFIeTk/mQ0mVAZ8H/pOelh2XbsHgRCUKEXHFsCCgjrX5kUhrbEoYlilqWkLFUZ7V/DM4I+bLsK2JDgv3klDkI0aKIh8PRD/VyEhwAGG8ZUNkPBFkbK6vrOv/XdkSXk9U2YzvNURp3yyH6jCggAcZB/yrtby+PsUVykQP7TDhB2WZ9NrYItH7FUK0OFHFEnOgH/TT/gjCyJxoveRCcWJIyhwgdHZXJJ/My1giHuRdkkHn3k8+Sb5G3zJlMJrIC5J9+k2nEzZYI+mhvGbIjE0rOyDS7wR6wJeR0lt4go4gwkmsTvOCF7JNVssseKAeBIq/6o1/6QEZlE9gHJFPds2RVmyyt0TtBHOKMIJJ9ATBdo7OIooxDrbzUHmF2z9/ItLER7FrO81SoNyKom95qC303boK2WTZDwC0gFgSaF2NPx5FTwSs9N77aY15lbrVJZrgyKcabjZkv2xGsXZBbvklWT8CSID5YLHrKOEF/blEo4ijKFwnbbI5gIHKMKUdTRpDDkRFzPVIoE4agcGr+RgwZNUvUCIwDmZHhYjRF/pyFLIDUrGyIbKb9KYykDIAsAkWRHdQOZcuYibzsMSjyNJfh5Fw5IxkVWQSEkANQHoKrr7IDnJK6LFdwIsgVAukejk2756oH+eVAtV0GhZOSXrepmLPVH+PB6Msi2repP8ZMdtPYcNSeZOYQODV7Vjgq1yOeiLt54awQQFnHYYanYI44IXUjg8aYIzNmnDGHxcFxnoisp91lStWlz8o3t8j/rExRsP1RxNH2BfIrI4a80AmZdTpU+mn+ETxziRRaikVkzKtVATpHD+ktWUd2yAuyYvlHRoyMCmTom6VDMk6fybiMJnl0TsarZIuuuF7bEDsyNJezQ/SQRPchdVYG9Icu0VXESsbSPiOyaAmQLAueyCpiyWZoM1meBfXQP/puDI2NOowDMm1c6KslKAGcfVnIKduAFCJvAmD7SNkHfRd8aqPytAmJRXLZDDpnTmr1YQzjxhaYC2NsK5A5RYz1SXvYBkGgMgQC2s6Omiu/s8+ztgAE6wMCQXovKLHKMCsAC4KFoqeME/TnFoUijoy4LIXNtIyX7AbjPxRahhjhYYwRPPuGGENZMdkIvzP2jKulZIeyLMMy/jIezsmWWK6SoUDMEFKb37WF0VSnQ9SlbOWp0/9lKypjNxeQK9lO7ZQtkH3xN+LFUWprZSqUx1FoK0fC8cmqzFePNsqK6AunIntRGR3ZWPXJPnBw+qzvxsBYIa3qUZ/sov4ZW9dz9qJNY2Y8OHBt0+7xPrch9Ed71O1+7dIG5Vj6U071ybXDthl/7Q5pXF0o4uhhMMGQTDl9ENSQ4bF+yhabS9cgknRYoEUGkEy66H+1X8e1riOTZLj2OZFNmTdlyoy5Tv11Tr3qJ/PaRMf8XyA4F5kr0E+6LFgif2SezrFBdBQxdY16/KQvdFnb1KWfwz1Ys0Bf6D49U4c6tZHcC570x9hog0CZLuoHckZ/6Kzz7te24fUCTtfRuVo2127jMw36wuYhzcbamArkHO6n/7KarnNou/FlM7SBXtf4B+sX5p5sL8TPBcFC0FPGCfpzi0IRx2kPxwRBsLIo4jjt4ZggCIIgmA89ZZygP7cohDgGwepFiGMQBEGwGPSUcYL+3KJgucRDEvYxWRoOgmD1wBKmvX2WqvMkbbCRYSuDLT22SE3b570RYJuC7Qq1LWSjjsMYtrfYkjLX3uqNjJ4yTtCf2ybYO2ejtSeCbQq3od4G8OH7zoIgWBnYC+dJdw9EeDgDefT6HXtxg2AjwsNYVsc80U4/Nho8D2AfrSSPByDtY1/IfuL1DgG111d5l7RnM4It0VPGCfpz2wRC6EEWG72HRxh7EKw86KeHUjwcNjyyXB1sVHhrh1dAeYp9I/op2UavrfI0vzdxeJAt28smT6F7Y4vEF04TbImeMk7QnwuCIAiCdQ1ZRm8A8OaKrXmy3JPqnk73Vom1Dk9cex2XT+qGOP4fvHXBVoaFvGlhI6KnjBP059YE6rU99lQmaxIEqwsyOF7x4/Uzs95DGARrDYiWV01Z3l4v2Sh9CXEMtgY9ZZygP7fqYd9kvXzby3PzAtsgWD3wPs96+bYXWWe5J1gvsP/Nhxi8XL0+O7nWEeIYbC16yjhBf27VQzbDp5N8pcQXMKSU1xvq291BsNbA+Xgq0YNyPndpOXC9wcuU8+Ls1QurULLdPrvoc7G+HORLROUrarnZ17S8wN7f4KliL2L36Ur73J797Ge3zzn66oo9wr4ettdee7XD14KU7etJ9VCJl7r7+MWxxx676SX7wwdOfHTBq+q8dJ4fu+yyy9peOl9R8sJ2MuXpZl808xnP8847ryVKSta0D2G1vKx9HuJAZPVlIU9E8yva6IEY9/oUrvp33HHHLYij5VrfUtdHddV3zhfil4yXL4n5ApwvLBmjGuOCpX5fPkLCBZn6Wp+nte/UV6R8scqXznxswIvxjYuxVa4vIdVqo375yIDPBytLn5Q9/lynuTAnxkz/fc7Uk/XDtrnHnPsk8jgpZUy0zRfbSj68+H/4cnXt9MUnDyP63dyYXw/bmPfxA0hWZN70pje1Lz9pu0+GkrWaT2V7wtteVP/3iVNlW3FdKRvUU8YJ+nNrApTJp8TWI3EkML5o4TUJQbAWweAy7uuRODLWvoi1HgPW9QAPN/gMpE9heq8wx41oIZH1NR1f+uGofX4RIaqHY3xVB/GrL2shAK7z9LFrPGXrm+Y+82iblK9jITUOT2kjWr6qJbHhk5s+G+kzkjKVzvuMrO+I+5Smr/0gs0jFIYcc0ogMEutzm8pRr0/IIne+UATaj7QgvB4+RUT8jVAgG3NBv5FDpBGpNi7Il8/R3vCGN9xEHPkfX0Xy+VBfcTKG3phSn531tahZ5BGRQ7p8/lYZSJp3xvokpjkwTmAVAnkzZvqhHp8K1WdjilR6eMm4+Byo/nvAT92ItzH0CdTaBmMOETkEDKFC+nymV/n17X3b2xAu5NL8ImPGQh3Oa7sxRAx98te41pgib4Jh/Tdm2myuzLEAWfvV43pfZVK3T/oqVztdZwwku3yxqYim+TSXxt448/v3uc99GlkvYqhebUZwEXLXILzkJ8RxK+HTd+uVOBIO0VZelRKsVTD8HOF6JI6yDrJJiEWw+kD2ZLkswSJCnKunh5G1ymghgbKQCAjyVsRRRvGRj3xkK8N1iI6sINLH2SNfCFWRUHAdEqlO+3oRHNf6FCSyIEPmxfuICWKzzz77NFKrDsRHhlG9XmOH6NAX70B2XvB1zDHHtHKRNYTHq3OQk+qHbVt77rlnIzNzAVlGrpBhDwa5X0bMd92HT1Wr95RTTml1eM0eIul6hNnHA3xzvYjPENonm/moRz2qkbL6zCEiqM0O4yhrqSwEvTJrSNeTn/zkRpQRJPDpTGQS6SrirA4kTTuGxFGGUYZWXcoz374Lrw4JGO1A9JC5yn66TlleyeTb8uZDNtCca6vyijgaE1lodZZsVPbWtcge4qcfMpbm/N73vncjeZJc7kG+zb2gwHiaO3Lw3Oc+twXa2mP8L7jggva6NPJKZmRcEUXl6L85IUf6oR0rgZ4yTtCfWxNYr8SRAJ155pntNRHrcYkv2BhgKNcjcWTwOXcfOeA0gtUHxIQN5bhl+5AOxMGS4vBBLVnJfffddzPiiETJFsn68THuY5ORAU56GnHkyBGKO9zhDi0jZYnWIdMmo1lkyP2I3/77799ILaIAyICs0w477NC+WV7Lxc4jK0hJkUIEBknVNhk0GT1LvYifb8jPApKDnB555JGN0BbhUMf4qWrvc/QeZtk//ar+eKbAO2C1lR6M4V66YfwQw7rvSU96UrMDe++9d8vAGQuZN5nJygZqh4SJNiBIgASawyFxBEvS7h8SRxlhWV6EW1YS2T/ssMPafCDHxgoxlfEV+BWQRN+NRypLBuAud7nLZsTR/wUBso01b4BoKpc9QAjJh3PGDtlzv76BfpMFGVPtFEwgxgIDZdR4yXTutttubWkbASanssIIJltKJo0H3lNlb2/0lHGC/tyawDTiaBBFlBi7qJFyE2DKSHAKfqccFEkaHLOXNi+BHYOSETDRiesoP+UVvTAw/ifKFCExCCJPdZfxGRoI11peUI4oSeai2scoOE/JGAICpQ7RmzKUr0z3ECrp60qRV/nGgqDplzEgzCJrhi8IthdmEUfyyZnTS8sxZJkDkRUoI8j4cgKuoSMMLWc962W87uPIEDn7f0TjHImsCefCUTC2fnJcnDH9rD1V/ldQt6Uke5fcr3736I/rLIFZxrK052XqjLz+cJq1N4qzcp7Dc6/z1Td6Tv85MLrNGXC2nGSwNDBPMluWk2V4ZO0szY6/ZDaNOJIx84bcceqWQC0zD2VzTBzZbSTBKhFyYGlxeFhyrL2BRRzJ0TBbJPOEOA5fwu16PmpIHEEbkCc2XjYKSZatnIs4kn2Ejk8Z79sbPxzDZyCI5HrcF4eVsKHOFIwvAqQOS/7j+2Tk6D+dMC98F0I7C1tDHI0VXyv7ivybU0vIlqIRR+NvzpBYPng+jImjbKElbXI0BntDjvSdHJk/HIBtG5JU5POggw5qxNtY2e4ic0qePvKRj2wxXmSRb1eG7QySSebQ/CCUQwK7vdFTxgn6c2sC04ijyK8IEyGlsKI+m5jttwCKIRpB0ERryBhjL90sEpsG5ZpYjkTEoEwKK3qTlmdAKAon4DrLCjbmqpcTKULKgZh0Tkn71CeVLjK64oormkATEg7F0oPPw9kLIl1N2TkximCJjGHkWEWBZVQoCMeJKIrevDbiBS94QXNis0hxECwHphFHDo8BJI+InT1WjKa9U5Z0GEIOiUFl/DlZxlNghQQgk9PAuAqu6APjKtrnQGyst/eLEab/HI2Aj35ykpayOHv6o24GXzvYBstA9JqDv/3tb9/2bHFSHJiyd99991aGviEW2mAvmiUq99JRm9zZKPamlu3c4zpt4hjZHu1FVoOlg/Hm9JEUc2IOkXWkpwjbNOJIDhBBy7RkQ5aJ3Sdf5m8aceSLZP2c8/sY2sLvwGKJo7bxH/SDPpBH5FaGai7iqN8yoogYn1JEGMbE0d+IqIeExgRRgsQYDNteKOJI78d1gLLoCd9oi4AxGGcu6xrlL5Q4usc5RM3bHASD5kFgyr8OiaOl+iKDQ+i3ca82j4mjtmqz/Y/jfr31rW9tc0qvt4Y41t8Cx/E46L9xMN5+Z0/JBg6AqxhjNnQ8P9sLPWWcoD+3JjCNOEpRI1IyiCbQoIoApZE5BCBEyBfn4HeTQvgImKWMaWBMTCKHYe8BgqhOxBQB5CQ4KE5JvTXpDBXBEKUow2ZfAsVpaJvrbHC1x4LTI9yAjErrDzM1nB0iSsgIJmNkr4nIjaMCJJiz5Ixco06EUfpbhBIE2wvTiKNznKAMSeke8iiSF4gxkvTG7/SBjjPSjKqnKTnvaVAOZ2bvVn2HG+EUmAm+6IXsPAJH1+t6GUcGH8FTB73kbDhQwZq63SuzaA9UBV8yMQK74VK1oJDuyTwJ8tTBgclOchTsgjo5Vg6msljGgTNiS4KlgbHmsNlYv5MFWWtBP5JlbmEacURWyKC54k8QEYE9skh2nB8TR9lyARFZYuurfCDT5LCI1GKIo+utppEzpKOydYjYfMSRTFruRIQRQr6hMCaO5Vf4RES12qk9+kxWq+4hjKFEhWVubZJwcU+Bf7U8KxAU4CHmtecU/DT+Eh7KL+IosGI7CgJLNqOIo7Fla/hNOqocSRhzVMQRUWNT+FpzVGMM5kjCp/QWxsSxxkSdw9VL8D+vHSNbRUAXQhzNl3pwB/59OCf1MJXrjBG5U67yJJncp2+uWwn0lHGC/tyawDTiSOENtuiK0CJ1hGXXXXdtESRwEJSUAg33DBC+Mh6zwMBwBFLTJpmQ+Wki7WUhvDKeIiQHYbLkrB71EmQZyOHT0n4ntIxLCfM04qg/+qbffpctVYclBQIJDJ06jAknyZlpH8EzNkGwvTCNODKqNugjY4wvY8mh3/SmN20OhwHnMDh0GSJGWubceXLPScwFS8AyEc95znOavtFPuq1OTlPmiSO2IuGoPVsySspniGUhOaxyePQGQaR7pUPTiCPdVQ+np2/6iJCyCwI3tsU1Mpfa4id91T4Oi4MIlgacq71oFSyTA07afNf+MphGHGXy2GJ2kwwI5hEIdpuTLuLI2Ztr1zmPKJF1ttd2IrKNdEhYWOY0x7AY4qguvkEdlaFGUvkXckz+6R35GxI2oFcSJrJmVsyKiNEtsog4Ij7GATk0VnWtbD1ZpQOCOj+HbS9oH1/ER/J95B/JNA6WpdXDz1aCh4/Tb2TPvXTG2Akmtd95/syKBDvgHF+vXPOmbWwCIkzvBaSVfBEsqEMgV3WaB30yfjKUxs79uAFCPlzCHhNH5Vn1oLtkSXsLZIptGa5cyAzKQqu3MCaODuRyjz32aO00f9pKrrTV3+SNrAiazVXJpEAYOWW3VgI9ZZygP7cmMI04AlIlhc8AyFKIphjvIo4EnhCYMMImorF8PGvfxhAMDIcmNT1UHIp7oxvdqEVshH58MGSESXtFpuOIZYxpxJHAEDSGhwHQL/VyYEUcGQfpaxGpvlX2hGGbpuhBsFyYRhyBIWR4GVsET5aQIy3iWA5DZk5WgX5bQaCz/j8XGFoBobKGQaAMh2yBzB7jPj4Ya/ppLxwnNV92fhpxBGVYfdAv2Ux2QpariKO+IaWCWX2zB4ujVP98tidYOMyf7T5kqLI1ZMCeRbaSnXROYCKpwCbXPlTkgNPnqM0nwoIkIobuEfzwK1axrFqxw4gmH8Ru77LLLi0QQp7sRzPHMmTqBL7GOyDJhOAG+ANEAHH0/zqPyCAvsugIKPkn23QKoZKwsAomgWBpmS+TIXWfvowh2ycw4g/tkSfH5M+WK/6L7FsV4y9k5fQRIUV2+C79Ub8M3izwUXTbuMqCyta6z08+WPDFF/FjdMBYKdu4I8jIawWIxgWxtC1EG5F3pB15ZTPoOp1GZPll4+T/HvbRTit0zplPesnHI+JIMr20kmA8yAqiXzpIH5WNJCobjL3VS8vEtb1F+5wzbrKOZXPYL312f62SIJTG1tzpizrMEWKtTG3SJ/f5myzVNeTYfPPtZJBMmz9b0kpWtjd6yjhBf25NYBpxJLSUWuZARGFfhMycCSniCASEcph0mQflUFBRXCn4NMwijhybF6haFhs7ABNtcpUrikHmCPAYoohyjNOII8OmHoRYhrLaL4Iq4giMnfJlHAmX9uqjcyGPwfbCNOIowpflsYXDFg3LYCLyInsl/4ws5ySTwKHScc6bA+a4Z2EWcVQX4si4j/WbvtJPPxFHDo7NGOsxZ0a3YBpxVB+dE5By8sgLnbavrIgjKFf2SWbJ6gTbY9+VZfJhFiPYdpA9xB3RYPtkopB5W3rMteSCgIXNZ5MF2mw7wsVJe3iKjDoQF/JDHjlxhyVXcolweCKXbLCttd8QsVCujBA/pE73qUOdiIYMlbYhIPalk+/yQ7YjISzkBhkk//YFkyvZKIRXm2WuEBN6oi22QMjajWW3QL8QKPW5H4mSWCjyqS98qesQPOUKchAw18uC+f9cfkQ/jRWSxP/oq5/k3Tj5P9AlCR5zJDPIL1rJ49fqGvUItPg8JM+DLfSE/zM3yDy/pq3arh4kUTnIlfZaTaD3SB79cr3xpesInPlFqMv20Glzq00O9yNwwJdbVdAOuivgEDiwF8rXbtlZ8lb3yzq6R+Biyd1cIquCDkEJeybwMNdFZJHfWmkB5F6bzAVu4Fp9lJBaKZ/eU8YJ+nNrAtOII8UyWQx47TOxXD0kjpSYUa+9CAafM+MwGI3hMvIYs4ijyA/RI0jKrv/5KeMoqlAX5fcUlWiuhAK01blKlU8jjpwVwaLoBBhEbUPiiFzWnhSOitIxMpw3Ra6ltiBYbkwjjuSVI5ExoGcMLRIlO1PEEbETsdMJv5Npust5ccS1xDYNs4gjY47AIWgM8pCgsR0iefXRX0tg7q+sB7AVSEctN04jjpyZviEs5fzYGtmDIo4cumXAoe2xpKpt7hsulQXbDuNsLM2D+TXOyEwRf/Pv/86zlw7yWAELmTPX/u939rbIDCjfdWTRvA7/R44QSPeqnwzX/91T9dXBJitneM51yhmflxhRnrbrl+v8rV/aqQ+zSGPB/5Xjfu1UD1kX5JDLYV+UrQ59MR7keaFERb+0qcZQG4dlg/K1WVtc457xNTVXw/6aD+019tUe5/THmOmT88jcuFzn9cN1+qTvQ3ugTOeH415yAzUm2uPQtrEvd354f43x8Ly2lh9XvzlRr2tcO5zHmh9tNp7uHfZ9JdBTxgn6c2sC04ijFLn0NyJnsk2IB0Wk5i0BuKf2D4jMgEBxVCIq0QFBm4VZxFFEIsK0BCGKFGWKeBA6DkGU53r3awsH4xptZFxkSTkjAg2IoxS+JT1C47Cfg4MVuRAq99qXwYF5clDfOGbnlAn6JqozJqIWwllRnqfAQySD5QIjNyaO9uoI4iwlMaYgq2GjvKyCbIBrybPMQukYQ0mvLGUN9wyNMYs4aosMgWU3wRsdkjWiX55Qtf+KPtEfm+fpC32kH47ap1ZBZRFH9amHXlki1FfbR/wNskECRdkRQRw7YXmpNsLTT32W1aCT+uka7RfM0vsgCILVhp4yTtCfW/UQGVmm9fQWw8zwc0TIkL199pXUPgfLu7IISKbfLQ1I+SKJnBbCxQEgjsNs3hAiCg5Lqhk5lGZ2X0UqiJxUvA3BHArnI9NgT42MgsgHRBqW0WUJ7RuRHbUUobxhppLzUY8Mi37Y3yVjqK+ul2qXtbFUITMpG+M6Y2IJxFKEfiqTs7Z/ROaV4+Og7YdxTz3dHQRLCfpSD6QIgCwjWR4ULCF2dMMGd5vlETJ6LONvqU1GUACI4NFrUbgtJJahkLMKroagh0gX2VYfIjZcsvN/7RGw2XeFqAoA7SeiQ+pA4pBEeuT/DnbEcpZlvOGGeHaGjntfnaUqW1T0TeZQ/5BRy38IMBJK1wV++oYAWwoVwCG0yGotQyKhVh6UzUZklSAIgtWInjJO0J9b9bAnANniTBweFkGMOBVEzT4jxttSksyCrB9nJNvIWNsb4Zxl3HrvIePPuVVKewgkkYNAHO3FUD7yJk1dQDjtdVAeR8DZIKJSzFUmxyO7qX5lOWQhPblVTglkITg0/ZK1RDyRPo6T0+F0OTL9UZ++cEoIJkKp7/qmzzKQlsq1T1bFsh/nZS/IfC9gDYJtgaxZ6YE9WzJutb/MagDdoL8CN8ENkmWbCIIoW0dG7T1CBJFJAR+yRpemLc84j6TRJ/WRbaQUISyQfXZDUEaH7Qmjw8MAEJSFvNERGVPX0x/BasGqBHsg+JR9tOKB9Gm3vtkDVUvbrkMaEUUZRDpMt/XLGNBX17Il+ibgo/cCQKskQxsTbI7/9/rf5MiRY3RsD/SUcYL+3KoHI26fASNfR2UKGXAki5GW+eAUEEKHDIS/ZSf9rQyHaxGoaaQRlMOhDevz99DhgOuqXG3QpnGZnIMsgv87tHfsDP2tHE6j9p04xn3Tn2HfnEMy/b/65u/KvChD3cpFlpHt+l8QLBVqH5AtE3XQuZI//yODyBxZJ6P0yX3+Juclw+4d6sE0kGHXD+ujJ2PZpq/qKh3WprHuqUNd7lfOUH8K7kGCx2XQ99Lraq/rqm/Dv92rfL8bh+qb6/RXJhaBNRbBdExzmjlybPRje6CnjBP054J1Dpkey2Ac8yxnHATBysB+SE/nWnkYE9vg/zDNaebIsdGP7YGeMk7QnwvWKWR7LN9bGrPcFqcUBKsHMqJIo9cO2b6S1YAgCFYjeso4QX8uWKdAFC2tIZDJNAbB6gKdtNxtOXu8DSYIgmC1oKeME/TngiAIgiAIgmAL9JRxgv5cEARBEARBEGyBnjJO0J8LgiAIgiAIgi3QU8YJ+nNBEARBEARBsAV6yjhBfy6YAu9W8z1aX4jwjrYgCNYfvFPRi/V9hcn7GIMgCILN0VPGCfpzwQBeyOtF2b7m4JOCvijhpb1BEKwv+AKMLy35rKfDV6eCIAiCzdFTxgn6c8EAXmGDKPreru/XnnbaaSGOQbAO4VU4PuXpU4O+Y+0TnkEQBMHm6CnjBP25YAq8mPc2t7lNiGMQrGP4DOBjH/vY7i53uUuIYxAEwRT0lHGC/lwwBd/73ve62972tiGOQbCO4RvSZ511VohjEATBDPSUcYL+XDAFIY5BsP4R4hgEQTA3eso4QX9uKv70pz91H/rQh7rnPve53UMf+tDu1FNP7S688MLNvnnsk1kM75vf/ObuiU98YnfKKae0ZR9///rXv27/9/3Vn//8593rX//67oQTTui+8Y1vdF/60pe6Zz7zmd3RRx/dPetZz2of91ffBz7wgWbEXfe6172uETZ1/eEPf+g++tGPdmeeeWb31re+tX1/+ZxzzumOPPLI9hDLZz7zmfbks892/epXv+re9KY3dQ9+8IO7L3zhC92VV17ZPfCBD+ze+MY3tk/vac93vvOd7tJLL+0e9ahHdaeffnr3lKc8pdXt01/1ab4ijieffHJ7WOYFL3hBd9/73rdd/+53v7v761//2q4DT2C/7W1v6572tKe1/zvOPffcttytTR64+fGPf9zG7znPeU7bhK9M9erry172sjauv/vd77p3vetd3cMf/vDu/ve/f/eGN7yh9b2grJ/85CfdVVdd1fr9kIc8pI2Xuj0RWm3XR2NkbF2jXa961au69773ve0p0llwvzHw7dxnPOMZrR8eDjJ22m7evvzlL7c6zZ35/upXv9rq+/CHP9w97GEPaw8ZnHTSSd0vf/nLvtSuzaOn05/+9Ke38VTmNddc0/3xj3/srwhWCv/85z+7L37xi92LX/zi7owzzuhOPPHE7kUvelGT//oMHh00n/b9mnu2gJ6TO7Jfek736BvdJt9f//rXmx6QcXbkpz/9adMbusxeHHfccU0u2RB12HPoPrL3lre8penp85///Had+sg0+XUt2fn4xz/e7AA9Yavo/FOf+tTuZz/72SZbcMUVV7R7H/SgB7W2e3qaTpWuDImj/Y76SK7p3yte8YpNdgzU7U0L9IpusCv6RyeMozrpMftXuoGM0vljjz22tfX73/9+G4OPfexj3ZOe9KQ2Nq9+9avbknnV46dPhdLXs88+u+nMIx7xiO6SSy5pY1jz4jp9ZCvZaHrFTl122WXtfBAEwVKgp4wT9Oe2ABLHSCE2DBzjxyAddthhzWhyFvDd7363GWVO5/Of/3z3ta99rXvNa17T3ec+9+nOO++8ZnRde/XVVzfSdeMb37gRhne+853NoDOGBx54YKsHObnooou61772tc2YHnzwwY0kchAMumv32GOP9pMxZSjvda97dfvuu28jkJwIgsIxMPo777xz99KXvrQZ7Xve857NaDPqn/rUp7onPOEJzbjqF9LJUXEc6i9HWMTR+Sc/+cnNqR5zzDHdAQcc0N3+9rdvbUNEkUJPZt761rduDoOzvPzyy9sT2cgdQsfYI5t3u9vdWls5RfcjrxzMrW51q+4lL3lJO88JIGnG6853vnO7j1PmLJFuzuaVr3xlc1YOY29jPwfLuWs7hyVTapz14xOf+ESbJ+Vq8zS4j8Pl4Dl+864+c4ck3vWud23kmmxU+cbhk5/8ZLvXeYTTOWP0ox/9qJXrPGJ88cUXt9eeIPPmT9/IWF51tHJAdt7//vc3fTDPAh1y+S//8i/d4x73uCa3pQuCDzJq/sgd3Tr88MO7Zz/72S0wJHuCA7pPHs0teRYwCtAOOuigZhPoP31hJx7wgAd0hxxySNN5ek4XEUo6Td/oJTk74ogjuv3226/ZH3XQczZBIOkBNiSOHiBnDuWwR+5F/hBj159//vnNZjiHMEIRR7pOz5EvD8tol3Zog6evjYO6lU+e6YaxEyhph4AOIRX4HX/88c3+GFP9rTGgF8YVuTYGdAKhVZffKxhVn3oFWkg2fWNTjjrqqKbH7Jb2CPLMib6zvfTLvJhPwXgQBMFSoKeME/TnNgODdP3117fonRGsCJ/hRXw4fEZSRIxEIlYMMyfkOlkzxICjkAlgDDkWhvNGN7pRM77IBAIjC3eHO9yhGXMZK6RNue94xzuaMeWsEC/kAllCHDkJ1zKuDCVDv+eee7Y6XYscIqI3uclNGgnj/Cr7gcginhyF89orepfZQNQ8DHPttde2PhdxvMc97tEcBMeIKMvGIIn67W8Oj7PTXn8rUzs4O4TVfcaGs5OhqL5yMsYGGUMykVKk1nXOy3xwNOpDTp3jeDlDTku71aVPSLTxRkRlbTgh7TY+rlE/B4TYziKOnBCHanxlFmvejf2jH/3oRiaMAxKrDOQSQUAcC+aZcxsSR1kpWU9tdq92a5d7EdIf/OAH7bpg+wMhIfdIXAVM5FLWkewiieSADMp6+bvkjp495jGPacTN/fSAjMqW02mkESlzDolDKNkP+u88eZO9EyC6h86QXXKPJGoDPSFT7As932WXXVqgJcBxreBT0EWnkV7kie2iz3SSLCJZ2uxQh2sFN0gdeSziSH/1w73sknbc6U53auf1hQ6yQYiiPtApfRPICVSNpTpk+tifnXbaqdnP0nNlshnkXjAow8jWyZQ6pw3OGW96TN+uu+66TXpI59R/6KGHNgLMTtB9dSOhxsN1bJD72eggCIKlQE8ZJ+jPbQbGByFEUBihAsPFASAKfuf8kRMOhQEruB/BkEm0ZIngMZ4M+Y477tiyFQWOSiaL82Kw/Q0yZAynjB0iCqL2vffeuzkxTgrUpT0cgbaIsjkky0cifkTMNXUoF0l74QtfuFmmi8EXqe+zzz7NESi/iKNlOQ4HtI/Tcu6GN7xh6yeDzTkhp+pGhBhyzg95RByB40Hw9NXYFfx+97vfvS3HcZIF/ULAZADda4kLaTeOlfEFbeKgOFDtMt7Ir+yM+pTjfnNmnvR1GpTP0cp01PgWLP9xokUc9RmJdW5IHPVV/4o4qhMR1TbZJbLikJExl7vuumubo2BlIFslq4YQ0g/wEwEzr8gJmSSfAj9ksUDuZJjNtfk0386RT5lIhKhkDYkx73SdXhX8jmT6X+k5slRyT86UqU2l5wIkuqZsco9IWVWge65znp7TFasMQ10BhHH//ffftBpQxNH1yJ/6HAgbInmLW9yi6YTy9VE207jQM9lZOi4AKrvmOrqB5Lq2oEyk0xggwjXe6kTSEWOkU0BLbxHtcVDFHiOfVi0EYsaMzrN9yKK+aLdykNUgCIKlQE8ZJ+jPbQaGVwaAw6+s0TQgEaJxyzQM1hCMKAPpQOaGxHFImsA1sm1DkspJzCKOsmIi9QIix/Ew/MoYEkdEdwh7H2U47KtCpoaQBZA9kdHgUIo4ItAcRcH4WELaYYcd2jIUQ60sxNdeJU6Gc5JFmEYc9ZWzKPid4bc8xhkVjAEHyim6t/5W97D/YM8komgZTbuNgT4aW47Z2FvKd54DmwZzhuxbrkcOh9hW4siBIaMcK0KgjvGhTcHKwJLmbrvttmnpcxpkn5E1ukiPh6BvAjHEUkYfGRJ4IY7me0gc6RV5FKAU/E4+rW6MiSNSO5RDqxSCK0GIbRT+hzhaJbCNZkiU6J8gUJDpviHIHDlXJ1JcxBEhMw5DINTsBf1Rjv64B0lDSv2UwUSclQtD4ojgDlHE0bVFHJF0qxDKoS/+rn3CbNsQ7JJMLAKtbFlPWVvXItDGRxZWOVV+EATBYtFTxgn6c5uBcRT9ioKHEXOBYURcbNxGHBGhIeEBZIgzERlbollO4iiLpr3IF0ekfbOIo32UMoH+Lxs2hOyJJWgPeMhSzCKO4H7E0T3qQzoZdEvj+sGJ6ftSEkdZFH9bNh4TdXVyoJX5AVlD88eJaQvHaN/Z2JEWZEE4ZZmecbZiW4mjDBXSyDEKIMbkxDgrK1gZII4Ijr2wAqAhyDUdQZ4QLdsNSpYL5hTxYysEL+Z3uYijsumY/8lSK3sWcbTMfPOb37ztJxxmSUGmDhEWGCNYcxFHJI4NQBKNh4dzZF61rTJ+z3ve89qe7KUijuyB6yoQHgJxNFb+V7bNvJkHeyBthWE3bSEwtrOCgSAIgq1BTxkn6M9tBgYNMbKcYxP40CCLcGXZLKfY88gIIluyEuUkwN+cB8KBHCwncdQWG8wZdHuE5iKO9vkhR5zGcFkYyglZslb+LOJoPDhc/+M8OBuOg2NEksshyLQtJXE0PpysJSz7uYbQBuNljDkXDgtx5Hi1naOVjZCZmPVZNe2QteCcx2MzizjKNsn+FGRIhnscXWeskXUPIw2XwP1PeeYvWBl4qML+YKsGZK+IBj0nM3QA6TP3yOFYd8kkufMgS21XWS7iSK/JMJKlXm2dRRztcySbyOBwCwwgbQJeD5ORwbmIo72M9mXK4rEt9BepMw76Zpxse1lK4khvjMdee+3V+jEcA2OkLsvTpV/GAnn0u/nysBKi7wGcPHgWBMFSoKeME/TnNgMjW3uXHB5wQf4QEFEtg8vYIleeQuR4nKtMFoMoG8nRePCDgV1K4igjVgREWy3VqMuDH4zsXMRRWTInlp84HYa/oA+IHkKsnFnEEcHSXkvB6qr9mKL9Ionudc4hS4EcuXYxxNF4e1jInjSZQ46i4GEiztq4u5Yzk0WqrKo54VxtpJdZnAZOS7ZVpsa1MjXG109O3/JYEUd11D5OMuFv/fMQAfKJnCO37pf9sQXAUjqnpn7LmgIAm/3H2dxg+4Gsm6+ac3pNXxEmxA05QT7ok7m252+YqSdviJ8HoIqkLBVxJCvDugQoSCKZIWswizgisQJJ5M2DYsNy6IosuAdvYBZxRMbYH22rB2b0y1HZVWQSaZYB1D5679xiiKNxtOXlZje7WcscDjOmbKSMvu0k+qufHpTRNu1xsEe2yXiDwnBMgiAIthU9ZZygP7cFOHP7gxhwJIBRZfQsCTN0FQVzCLWsXcu0DBfnwcAjnJwHA4oweaCk3jGmjnJcsgMMOvLpHsQI2eAUZAmRJveJwi2B28Nk47ilWPsxLRcxoow9oiYqR1Kd18ZyYIw1MinzJnuhTk6BA0L8vB+xspkcgOwbQ89hIkKW7ThRY6MPDLV22GOJ1DL0srTIlPuc41g4FWNgHPVJPTKDnKXfjYEsgQcKjIH/qZPz8FCJceJQOCbjrWxEWtsRZxkI17tPm/RbZtIeLE7OwZEix/o1DeZUhoMT80CA+UL27QtFtjmjIo7qsGeS09ducyAraY6QYOTWOBkzTp4jJUvGQ19lsBAJ81cONNj+oC/kD6lHDBEgciODL+gjc+baUijZJr/mmMzTM4GQIIVMVVbc/eZaYOG8+UfS2AjybFuHQNJ5+kfPlYswqq+IIxkXdNBf2U8yJnCSDRfwCbLI501vetNG7gRgFQiSKasBAqUKKpEr5dADtqr2a9I3fRBMehqafdAP5Ez/2DN9M1aCSCSbPggcEVb67RybQz/oufawP0gr4qev7KZA0jK5bKDgl61hy9gEeqHvyB7b4i0R7KKsMP11vzcZ1LsgzYuxYJer3QLUesXP8IGnIAiCxaCnjBP057YAo8ToM2qicZkoS7gyRUUawXUMMqLkSWyGDWFEZorEMMyyFwwsgsXYM+Se/PWgByPsYPwQCfc6z0g7kCD1MoiIh/eYMdoyjww358KAIocyfkgdJ6MuS3AcXZFB4FyUp52MsMwGosrgu06bQXkciIxr9Q05k43hDMooK49z0S8ZCtkX7fHEpXOcoyybdlVfEWv9987JGgN9RbA4APcqy7lymPpm7DkN7XUOOdMmxBThrjYZE+MjW6ntHKNzHEuR6GnguJWlbA6W85R1klkeLlUDx0c+EAqkUX8QDI4OaZC9qUwPWTIu9pyZF2NpvIdZ02BlQOaRRHMoeDI3ZGCsC8giuSMLZPblL395C3QEP+QOkaNTghjEhe6RY2RImc4r3/3kyEE/XEsmbP8QCBVxJH/e70h+6SibQa/UpU6BE5uiTPpTwVyBnCqPfiBhZHqoK9U35bnPFhz65FoBluw5XUMaC8ipvmuboEwghxSzkcZG+8i/7RmCTmPgvPF1n37qLz1wn1UF5xFNwSx7JEhEUuk7Uu9hO+fZOqTbOJcOsrF03DX6Z5zpHtKojCAIgqVATxkn6M9NBcPK+IjMGVqOZBrpYHgRABlEhgyhYGyHhlkZ/leHCFxkrdzhecRlWJbD79qBACKOCCxD717/c486gEEd14W41v8L+qE/ynBoTxnjIapvVaa+aUv1rYA8+p/2uN592uU+P43HuF36Px6D6o/2DK91VPuUjZC51r36p/5hm/zfeXXWOFW75oOy3Ose7XPPeI8jqE9bXace42Jca26HslLX1hgof9p4ByuDkk+EjByTgTFK7syf61w/1PPSPUu/dZQsuKfOubdk3+/D65VXxFGwQ7ZcQ4bJb9VFtrRzeK9rxjKlzfS86q++DXUF/F22ruor2R+i6lWecv3ffaUr/u/3YbtcP62vxlKfxmNT/XT4fTgGdGjYdvUrv65xRLeCIFhq9JRxgv7cmsCsh2OC5cc04hgEy4EijuOHY4IgCIKVQU8ZJ+jPrXqIsu1Lsp/JUpCoOtg+kNWwtG4/4/iBoiBYaghO7Ku2NCsDGQRBEKwseso4QX9uVcOSjgcx7A/yrWsPtdgbaHkmWF4g6PaxeeAFafcOSftQLZkFwVKCTNmbZ2/v7rvv3h5sqQfmgiAIgpVDTxkn6M+taliWloWwsV220QZ8mS97goLlhf1XSLrtAZYOzYGHl5D5IFhK0POSNQ+nkDcPZ9m3FwRBEKwceso4QX9uVcMytU3n9jvV4e/hJvFgeTBr7INgqUHWbIOwPD08oudBEAQri54yTtCfC4IgCIIgCIIt0FPGCfpzQRAEQRAEQbAFeso4QX8uCBYM+xs9IOPBBS/2zlJiEARBEKxf9JRxgv5cECwIP/vZz9oXQ3wOzjdzfYFn/JLkIJgL9i36xrUvxfiakJdjB0EQBKsXPWWcoD8X9ODUpn1ZIpjAK1N8Zs03d4844oj2/dwQx2Br4G0IXql1k5vcpH232XeYVxPov4fAgiAIggl6yjhBfy7o4Tu2iFEcx2wg1d7rGOIYbAu8XueEE07odtlll/ZSed+DXy0g274f/ZOf/CRyHQRB0KOnjBP054L/H7/4xS+6xzzmMd2nP/3pEMd5cM973jPEMdgmyOp/9KMf7V71qle197OupqXqH//4x91TnvKU7itf+UpeOxUEQdCjp4wT9Oc2PH7/+993T3va07pDDz20ObUQx7kR4hgsBkiZJeHVRM4soT/xiU9scv3Zz342xDEIgqBHTxkn6M8tCAiCrzt88IMf7M4777z29ZbvfOc73QUXXNDd73736x72sIe1T4YNDe4//vGP9gSuBypk8x760Id2z3zmM9ty0FxfH7GX7pvf/GbLSpx11lndl7/85e6SSy7pjjnmmO4BD3hA+/03v/nNpr2I6vzlL3/Z2oQAnnrqqa2+a6+9tvvDH/7Q2uHBjte//vXd2Wef3frgKyjaff7553fPfe5zu0MOOaTbddddu6OPPrp7yEMe0rIh2uF+S9i+ZqGP+nDppZd2v/71r1u9f/zjH9vXVGz2f+tb39r2bF144YWtbO24/vrrW/2gvTIsn/vc57oXvehF3cMf/vB2jbZoX42dsf7BD37QXXbZZd2Tn/zkdo3P/fn8X2VolKVtPseoD9U2Y6NtcxE6/TIGz3rWs7pHPvKR7XOO55xzTpsrGaH5MCaOjh/+8Ifte+KPfexj2/g94hGPaG3JF36WH3TBU+5k5ZRTTmnfFn/ta1/bvfSlL+1++tOftnk1z/e5z33aYSkW6MMDH/jANp/Pfvaz21PyYD6V+c53vrOVpczHPe5xTf7obendNJCDF77whU0eydd1113XveUtb+l+/vOfd1/60peaHJf8OGYtVZPDH/3oR0036CcboL0nnnhia7PfydbQBlg1oIMI4EknndQ+X0g/6IxgUP/e/va3t3H68Ic/3F199dXtOrLv2lvc4hbdnnvu2R78onP0mu7+/e9/b23XLzrmf3SczVFu2QC2ZWgXjz/++KbjVjHqG+/aawzZSnpLV5R38cUXd7/61a8201tfbtLGpz71qW0OlKX96gNl+STjpz71qWafTj/99FaesTF/c9kA48uuseVnnHFGGwftV1bZqyAIAugp4wT9uQWBMfEU7dOf/vTusMMOa0s6L3vZy9pnAJGF29zmNt1pp53WjDcgJxwGB3LNNdc0B/GJT3yiO/PMMxsBfPe7392uGYOx4+wYZvUceOCBzbgx7A9+8IMbwbvlLW/Z6v3zn//c7uGsnvOc53RvetObum984xvN+Knndre7XSN5lqAQOKRQVpGjOPfcc7sjjzyyOUb9QjjV9eY3v7mRNsZZ+cjbq1/96rZ89dWvfrU54zvf+c6t/ww9oshB7rPPPq2NHAYHw9jXmHz/+99v7eTArrzyyjZun//85xs5VrbyOHb95gwQMoRZWdrGySCi9773vZvDM0bK4iDcz6lqm3KrbXN9qg1pNBau//a3v90ciLFA9ozVfBgTR85LezktY6/Nz3ve81r/zX05zWDpYb7Isk/0kRMyRS5qHyoSI+Azx/e6173a3kJzDojXBz7wge6AAw5ocorckT9lkvM3vvGNm+RDIGZP4lVXXTUz6BPIIIb0W+CFMLEXiJF2aYcnqunvDW5wg3Z88Ytf7O/eHHRBP8jQ4Ycf3sp51KMe1b5hzQbst99+jezWN+uVT+c8qU0u6Ql7cfe7372ROUSKDUCQPJSDJBmzo446qvUNuWYz7njHOzZyRmfJNT1DRl3rGrItoL3LXe7SdNb4sg10bv/9929t8H/yzy5qq+uQYDAGxtX4ymxqq9/VS4fKBgj+lIFcshX0W/u80cAcsMfm4Q1veEP7DKu5ZweUpW36V4HANFhZOfbYY1v5+oRgI8x0WJ+CIAgKPWWcoD+3IDBmolSk47a3ve0mwsVZMIqM481vfvNmCIEhQzBkCyozIDp3njFnpGYZKNdxBIwpJ8M4ypIgpYgcw48AygLIBojWET+OD5FxP8fhOsZRPYwsx+McUupaBhnR1C+OAVEdLlUrn/GXIXVO2cqS9ZSZqO82+8burW51q2bYOUJL3xyazAcjrkwwXpyUtlV5yKcsyt57790cliwGB4LEIbAyKQ7OCLGV1XMvJ6E+ZBwxUxZyrqyb3vSmrW3VjzH039zIILmXE+LwZEg4qPkwJo5IKiLKueu3c+rn9BHbWUQjWBwEN7JndE8AYy7pGfKBAAgiSscQEURqSBxBGbe//e03EUcyg7BZGVCOuVQuGadzyKdATT1jIIoV7F1++eVND+iXQMpDZ+6RWScX8xFHdbpfH9RLx5E5pNbvzu27775Nt9ggGTcEurJ27he0aEsFZeQQ2aSrCBYyyR6VHXE/uR4uVRtXNoDdU6ay1SEDyAYgccYQYWVb6Lw+yRYaczp6t7vdrQVU+q8uNkC7qzzjjhDrj8wxwqp9nj5no+o6BFi/zY0+0z+2ArFnw1xjnM3zXnvttcnOTIOAWl+VSf9dJwBml81jEARBoaeME/TntgoMLTIkG1YZQ4YOcdtpp52a0WTELE/vvvvubbnL3wXXyvghN4zu8H9DcDCia69+GToqJNSy2c4779zu50gs4SCziI8nNh0yaJaeOSkGlCPgZO90pzu1bAhDqcwqdxpxFMkz1Jb3qlzZFEtanJ5lNBkE5O3ggw9uZegfMOKWo7Vfff6WES3nW+VxGLInxo7jsrzuHgSxlqVBv2U8KiuESI7bhiRr2w477NAIm7ZNA3KKeHJ4yjOOsjrKcn4+jIkjx4ZwmgttthQv+4oMG8NhP4KlA8JABshZyR3INCEn9LSIo3PIzpg4mhuZxCKOyJWtC7L1snPucZANRIneyk5NIyRkgB7e6EY3aoRNcIk4VrlA9lwzH3EskDO6rGyyRvaRMv274Q1v2OScTaL7As1hm2UT2QDy6hqQZdc3pBKU6YAxcXTeqglirawq90EPelAjnzvuuGMLlhBcNka52lMrIQiZrKF2yXYaM6TcdezIsDx6y6ZZOaGDCJzxG2YNa2uKOaVzF1100aayzJmy2AFtYwPYYDo+DeZEP7UdEUZYrWgI6pHcIAiCQk8ZJ+jPbRUYYCTDHiqGEcbE0d+WSm584xtvEfUim4zrHnvs0YjXrGxUEUdEz+8FBlPGbLfddmvZR1k8hpMjESlzMMODkdUeDgdx5ExlDyqjUJhGHO1b5DA5mXG5DkZdOUUcGepyGpyO5fQijsr0NyfIGY3LQsI4VUS7MjayILMgs6GsWW2TTRn3saAtyLjMjSyDpTPjZzl8W4ijsZVptJ9NUGAcXvGKV7TxDHFcPsjEy/LbXjHc9rEY4kh+3WcvH30iD8PDnJc+jVFESeYMcVEXGZWtLBnYFuKIRMn8VZ1+ClzZEDpluV2b2aBpbZaJryAKcaSTtsqMMSaODrKMUNliMi7XEjXbRJ/YOQQTmau+Gg+Z0CKO5sjSMBIqQzmtPKsqsoyylM94xjMaSZ4Fy+PaZildJnNcXu3Dngbn1XXFFVe0etgb2UsrByGOQRAM0VPGCfpzW4WtJY4M7tCpuQfxk71AXIb/G2IWcQTGTjZTBs+StiUde6uG0TlwMByhw+9bSxxdjzjK9I0dpX4w6spZKHG0/GTvmWXccXnKseRr6aiWvMZOA2mWdZCltbTMKXOUs9pW/RhDe22Irz2OynzBC17Qsp8cznwYE0ekUd+QFX1FWi3vkxOZ0RDH5YHslaxuZb4LiyGOyqF3tnWM9QlkqAQ0Y5krmHt6QG/ZA1k5WSwyT8aXgjiCYAdpFqDYcqHNtVViCPLJHlWAurXEUeBDZwVF4z4ru/RsIcTR35btkT06OM0GGF82VjsExPUgU0Gd9JXdFKSxAXTN+SHUpSxlTgNyymbSe3osM6mvVi1CHIMgGKKnjBP057YKCyGOiA0iISuI4DBgBQYPmUDSGNOxwSvMIo7K5igRNcaXI7KHySZ02bchEXWtbIQlVPVsLXGU1VAP4z9e8rHJX5SvjoUQR3/LDN361rduBl82YOg4GG8Gm4PVZ8619laCa2VOXKOPHJQ6ZXg4kiHe9773bZqHMVzrYQWOSba2HKTlzm0ljhw3csDxIB7aWnIS4rh8IE8eyhIEWG4szEUcLYeat5I9RGu4xxHBIh9kUKZwKEN+R9hkqsakB2SxER110W37LC0VqxPBE/gsFXG0aoE0y9Drj6Vq21IQvGGb9Q+po2+wNcSRbFsdoGfsm7YP26BNdBSRXghxpMvIvhUFey3HNoA+ClIRe5k/xNi+57KzYGwtVyOs9QChOoY2FowDHRzeW2CvkUbtQiDLxhjTEMcgCMboKeME/bmtAqPCQDLAs4gj+Mlx2YPlnjJOCJi9OzaclzGfhiKO6uL8ysBykJbR7HO0748z8toXRpYRFUEzvuoX3SMuZVTnI44cBPKJ/KlHGYyr/UeWcTgHy0k2ltvD56Eg7eIUEELOoAjmmDiC/V6WqSzlcc7IJ6eHACC/HIasIyduLL12hPHXR/+zzFWZG5lWzt3+SGPBUWib5fth28bwkIAx0C5laKc6OXl9RZzVNWsLAYyJozqNHeKI1Gqv5TNjYjlNWzjd8ZgHi4OHRcyZp3ntiS3ZI2eCAPJRxJGuIpPkyite/E0vZO3JtwcqkD56aj4RUrqH8JFBuiBIERCOSUpBACHrR8bMtfK0wZKyQHNbiaM9wQKakmfkib7Yz0e2yKo3LyCorkeoXC+wYwMs6VdANx9x1F72QQDEPikHcTVG7A5dNr7GUBv8rq+CNfaHHal5MMZD4qj9+ivjaM48AKcuZdAXekwnEVEPwFiVseIh+HXO2NExddMz99FlDxBaoVAHnUTu2VgPytDPMQQI2iDY1j/XaLMHeWSf7bOezwYEQbBx0FPGCfpzCwLjyJDaE+eJPe8MY6QYMMZHNsOylKeoZR4YOkaR0UdK/M4oWmYePqk8C0UcZRWUyXmJyDkCDtDfZRQZQvsREbKb3exmjcR4GlObtI1R9MAGwoNgchAczrB+hhvJlblQn0ics7GcbgO6hwIQIYbVEhIHwrAimJyW7KrzdR/n6aEdxp8TUJ/zHkTRNudtYuectct5mQrOBQHUDs6KM5LNs/+Q863la+OLwE5rGyc2zLwOIRvDYRkrZEGWtJaZkQVPZSOhyh9D+8ybNmm7+pFORJ0D0xab+5WJwGsP56T/SMQ0JxZsO8ivQMc4mw8PWRhrwZKHRMxJEUdAoMiJefKaLGSDHMvUkUOBCb0ju/SJrjjoBUJF52XZZgUACA59l1Gnbw5tsJWEHtIXwRLSVMTx8ssvb1nwaUEOIIKls+wHMkRe2RSZQWQUZOPJM3tBtskoPbPkXiTIWNQTx/b1FVEu0HW2Q1DHBtgrjEAi18im7TFeXWSs7EFky9gWy/PKQ5DNAbuoPuXLBtN1BFKmVpCNmCvD9cozf/qpnspWmgN6aqzokP/LQrK/9bAgHRU0I+JsgEymsmpf9lw2gL6zldorOBDkIq7Gznwh1iGOQRBATxkn6M8tCAyoDd2cDWPIyIjskTZLx/4Wkfu/fY0MoIibcWeYGH6OSXaN85ll1ApFHBlyxlGmQEbPUg8CWdlOQEgQOIZXto3BZQgZcNdxGO63PKPt2ugpQn0qyKJYmub0LH9Z4mKcOQak155NRJCDkHnUv3KEluM5YsYYuZMJ4IRkKctBc5DKcp+nYY2H8mTkOG8OpZwnZ8ZJWjpSpuwBR1CvNYJh27RZWbI92jbs1zQYD45MucgEUosQul+2AjmteoZwH6ct06I+Y2LZzFjJgijPHFm6lw0jFxwdYjnffAfbBuRBoFBZfHIm04YwjYmjeTXf/keOZa/JvUwiEmTO6AtiiLg4Z54RRrpLn+YK9pBD2SryTHatQtBDQZ751xZ1yagjcA4yJwtXBHAMhAkBRIYFI4I0dqe2iRQqw+l/9F+bZf/okevq3ZT6I6CUXaOrw20eAmPtpc+IU+kkfTJW+oNUsnX2IruXDpJ95zzZrPyyAeSfrjhfc+N6AaTsLP1RHpvFjvhf6R2bVg+wmS/lCNScqzlwrTbU/CvLqkrZk7lQc2Ec1GHu7ZfWJtnr8TJ6EAQbFz1lnKA/tyAwZAwoklAH48SI+Tk877rKLvm/vxk4B7I1K2MxRBFHyzyMGqOqbMRr2v2MHOfkOvUMr+OU6v46/H+YAXO/trlOOUOjyfHoo3IZ/XJydY/zVa7/1/XD+pyv+tzvb/e5zvVjI63tVbZrOPTxNaCsaW2bCzWX+qoOf1c5iMi0esA143GssdI+/1OG65RpjLVpLrIRLB7kp+bFfHL6Ao4xcTRP5td1ri+5q3kf6oPf61rk0jzOp7fKIwclC4jqcP79X3nO16Hssb4NUZk22T/XVlumyZQy9L/aTMaHNoCODOvWxmGf3a9s143bVLLvPv8vfXS/esbl+v+4PuNc9dWcOe+6moshXFv9cZSujjEsy89pZY1hXLSnxkm51Ud6O9/9QRBsHPSUcYL+3KpEEUdLZH4PgmBhmPZwzFoF4jjt4ZggCIJg+6CnjBP051YlfDXFEpW9RbWnJwiC+WHbhqVNumN5ea3qjsyZvYT27NmeEhsQBEGw/dFTxgn6c6sKllBsdPd6GBu1HfY2Wa4OgmBuWH6011e23sMX9pzae4iErSV4CMbeZk8Me6CHPRBAzrdcHgRBECwteso4QX9uVYFjsLHcJn4b7B2eQlzrS25BsD1gz5oH0DzZ7kEP7xX04JM9e2sJyK6HNjzg4qEW/WAXsl82CIJg+6KnjBP051YdLEnZrD08skwVBPODniBXw2MtZuno/LgfzgVBEATbFz1lnKA/FwRBEARBEARboKeME/TngiAItoB9kfYVes+i17Qk6x8EQbDx0FPGCfpzQRAEm8EXgXwnuV7WbX9hloqDIAg2HnrKOEF/LgiCYDN4CbSvs/g03uGHH94+gxniGARBsPHQU8YJ+nPrCpybd9f5xNh6gi9afOpTn2pf8wiC7QG6dO9733vFiKMvmfg8J9lfL7Dc7ys4680+BUGwftFTxgn6c+sKXn7s9R2+u7qewIE+5znPaZ8eC4LthSOPPHJFiKMnwX0fmsz7Es56gfdsvvCFL+yuu+66/kwQBMHqRk8ZJ+jPrRtYXvPSYN+25XTWCzygcPLJJ3cPechD2vdog2B7YSWIY73L9UEPelD38Ic/vPvNb37T/2dtwyuFrr322jae9o8GQRCsBfSUcYL+3JrB5z//+e7pT39694AHPKA5FF/I+O1vf9uWfyxnnXfeed2BBx7Y7brrru07vfe///3bS4RlLCzznnvuud373//+7gMf+EB3xhlndK95zWva06LI2JVXXtnOHX/88d2jH/3o7n3ve1/3t7/9ra95Orxs+R3veEf7OsdPf/rT7qqrruoe9ahHtWwC5+eor+CceOKJ3amnntq99a1v7f7whz/0JUwgC/GWt7yl1av+s88+uy1nWarz8mb92GWXXbqb3/zm3VFHHdUdd9xx7ZOMHJFl+fPPP7974AMf2J100kmtLb66sb2XFYP1iWnEkV58+MMf7p761Ke2B2foIv2hDwuBB2+84N99p5xySvsylPLJO52hq/Rlt912625xi1t097vf/bonPOEJLYCyokDvX/va17Zv2F9wwQVNX9zPDnzzm99sLz4//fTTmz54gTgdVO4sqNeXqV72spd1r3/961tZz3rWs7qnPOUpTa+V+49//KP76Ec/uqnPz3jGMzbpaMF19PJVr3pV97CHPawFe5deemn361//uv3Phwx8RvXGN75xG1Pto7tWEbygnd142tOe1u7zyUjXl30LgiBYKfSUcYL+3KoHcsdBnHnmmd073/nO7jOf+Ux34YUXdve4xz26xz3ucc0xeHXIj370o+Y0bne727XMo6zFt771rUYWGft99tmne+ITn9ickE3/97rXvbqPf/zjzQkgo+9973sbUVPPwQcf3L3nPe9pDmMaODBORhuUZXn8MY95THfooYd2z33uc1ubP/ShDzWn+MEPfrC12e8cBgLLyXIIHJP63aNuhBU5vOc979n+5mR9NecOd7hD+2av9vpuL+etzPve975t6etzn/tcc97uRTQ51SBYLMbEEVF64xvf2J1wwgndFVdc0YI5ck0+fd1F1n8ufPvb327ky5dtbCch74Itciwbh0AJrKwY3OlOd+qOOeaYRlLdR8YFe/SbjNMZenvQQQe1uumDdtEv5FNQ51vX9PInP/lJ34LNQb+Vyybst99+7X7BF72+1a1u1WzAz3/+80YqfcWK/l1zzTWN9Gmf37UZMf3CF77QymEX/K5Nd7zjHbtnPvOZzV784he/aP9jhwSTxhQZdj97pq2XX35594lPfKJ73vOe1741jviyJUEQBCuFnjJO0J9b1ajlnSOOOKK7+uqrm2PiwGQYOZ9DDjmk7YOSNXRe1s93ejkbYNArG7nXXnt1j3/849t76ZC6d7/73c3ZyGg86UlPatG969/1rne17+My2rKB08CBMvoPfehD2/d0OVEEVpmcBkdx1llntSWpv/zlL61trrfcLIvCMSKFnK7sAseorwiwrKrsosyFe+Hud797c1a1VK1+WZvDDjus9VX5HK46d95550aag2CxGBNHAQsdEoiRWcGPzJvtIY997GObDs0CWSafdEYwRNfIewVAiNhnP/vZpgdIlkBJlp4ugQfDyLU2IVVIm3a97W1va+eRLxk9hBEhdDz5yU9u5BM5nAZ9YlPo6QEHHNDqvP766xuplfGTQfQJR+XQb3qnXDbC6obMqIDV/4yJwNXSunKtdOiXIJBNAHuV999//7byUBBEsgtIZmVHEV19kX2ca0yDIAiWGz1lnKA/t6phGUeGAnHiqIaQVUMSGWZkkLEeE8fCK1/5ykbYZCwQSQ6A02K0ZT28eoRTtNSFZN7sZjdry0hzRfvu5URlHMuxKpPjkxnlCDhJGUVZB87HEvqOO+7YHAznpO0c3jCzqZ9IoTK1E8bEUV2cL+fJQWmLpS5OcocddmhL2EGwWEzLOAp6yBo9ooOyZIjcIx7xiDn3IyJNrqNfQ71C3GT5LE3LtAmAphFH8LusoC0dtmQgWXSntm0gZNqEbMkOykh6Mny+h+UsQ1stoK/qUB6iapnZKoW20OHnP//57bDSsffee3e3uc1tGtFkXwSb6tQmUIYA1TYU5cA04ijjKLPJZui79iOrykNM19PDQUEQrD30lHGC/tyqBiNqWcoxXm7ixDgWWTcGei7iKHvHYFvCHu9dlDVBworgWQKTTVgocUQGLYkPIQvKSb7uda9rzsLyk4Njccg++mk5jGMZY7yvaUwcC7I4sh+W+zgvDxSEOAZLhWl7HP1E7F7xile0fYCCINs+ZM7nIo6WepEh207GS9r2LVrCtTcRyZqPOJJz2zyGoDP0QcZRsClItI9SNnQ+4khHEUfL2sMMHz1FUu1ZtPKBJDrYFzaHTiN2lqj33HPPLeyAsUIkS5+nEUdw3S9/+cs2Nuecc07bDoCUhjgGQbDS6CnjBP25VQ3OwVKyZaxxxhFxZNDteZIB2RbiiBh6gIaDEuV7v5rsgz1biyGOMijOczIyD0NwJBynPYyWuWVZakm6oC/a6SeMiSNHZFmLg+RoODAOD/G94Q1vGOIYLAnGxJHs0jUkkU6Re8vE9EfwMhdxtE/QPkK6Md4CgkhZEbBkq4xtIY6WjGX16QPdog/2HnuYzBL4XCjiaH/zkDhaqna/cm0tGaNWLizBy5havahVgoKMaJ2bRhzZB3ZC35FxS/+yufZZhjgGQbDS6CnjBP25VQ1OxNPOshHI4JCEMcY+iXbsscc2orS1xNH1tQlfNgRJRMjsh5ItXAxxtOeRI+Ikxw6HY+DIZEHUw0Fofy1xgXtkJOuF32PiiGhaMuPUlFOOSX0hjsFSYUwcZcUQN/sZrQbQFz9lCucjjnSTDtZy8BCCtn333bc9NIJUbi1xpNOCKLpIb5A5QMQWQxz1l/1RLlsxJIX0VbmCTcvve+yxR9ufXE9RA3tlfyNSC9OII9thSV09nu4uO2AbS4hjEAQrjZ4yTtCfW9UQrSN7MhWyHEMjirghjciSvZBFHC1d2zPkb+cZ4mnEkRPwlKO9SogeZ+NcbZRHChl89ZQjGGIu4ug+BNbT2Z7y5GBkL2RrtNeT0Z7WtC/M64MsqcncaGs9xelpcPufAHGUeeWk9cmyPSLJsVfdznN8iKNlNA5MZtP+TRv9h04pCBaCMXFEgsi0fX/249EL8mU52JIuuUcex1l2ILue+pfN96aBkkU6R96dlyl0bxFHD5fQB2SSLswijq63l9HybgWRgisPvWk/fXB96dMYs4ijwM0WEIGr/cPeXGDlgy7ZYmJpmZ4JVI2LJ7y9KsjY6J+gzjWWvKGIo1UOtk1gamndveou4o2M2iOtTv1h9/RHP7z9Ya6ANgiCYCnRU8YJ+nOrHoypvVQeWJGRYKgd9iLKOHJqjDRnYb8fkilTwWAjX5wKo7z77rs3R8L5cHgOS0sMucwfByFD4b1w9mI5j+Qx+tOIowdpGHZPQHvie/iAi7YU4bWEhcx6StLBsSB02sxRcmw77bRTawMHjHCqt9oJMhLa5P1yxkDdls84NJkK74vjfO0FtcdRlsW+MUte/q8v6s0nC4OFAtGTjUeG7O8rQkdOER2vgSJ3AiNZc28t8NCIjH1l/IYgy4iP184IejzQRh5l8hBB+4Fry4bMOt2ShaTnAjzZP09g0yEkEwkrgooQys7J+tmnqF0y8pZ/6SdS6+GT8d5KcK9X57iO/gng6G/BQzja6/2LltPpqz4g1dqur8q1aqG9dA3hpbNIrgfYKljVfrbA/9XpiXDBpDIFq7atKIftQGTZD+93NVbsgfbJRH75y19u5QVBECw3eso4QX9u1YPD4bA4A8thsnNIE2ci8h86Kc7FgykcBQPMiTHGDC4nKOOBeDHCYElYNlJ2Q7mIp2ygPUter8HRldEfguHmJDlMjozT0h5ErSDrwFkht7KS2iTzhwgXIUQ2ZSO9+FdWEfHjUPR36Lzsu/SyZE7R7xwVwmzJUKZFH2V+OCkOF/GsDKM6vdbDPqrhUlsQzALZkk1HEr01QLabLJNvmTaZfvIsc2brhQdkECmyNitDD0havUibPAtqEEPkqbaKALkV9KmDXiJo6hUQVpvoitdfVTDknZKIonYoUx9k55RhKVnmcqhTIJOpzfojW8lGIGruLSCnVgsQUfqOtGq3Ng1tA3234uFl/MrSFisfw34ZG/sulaNNVguMqfvYKH1i56woIObafvnll7eylSOole2d9V7KIAiCpUZPGSfoz60JMLzIkkyjTAjix+COHYG/GVkE0k+OyjKPe+rwdxEo19eeKmVzBByF5SoEz/3TnKDr1DEsl1MYt6fq57S0WR/G5anPMnO1Ydo1yLH2OCqzqQ+Ir7JlaPzNiaqnlujBOLnP/6b1JQjGIN/k0ZJpHfSJfA9lH5kZyq+M4XwyRpbJraVjBIh+DLP1BbqjHvLsd3W4Z1qbQDvIuXYp399kXhnuHesm0BG6ox1VJn0aEkLQJ331P23Q5mlZVffR4erX2H5og3KGbQQ6b/yUzx65ruxYjalz7hneFwRBsNzoKeME/bkgCIIgCIIg2AI9ZZygPxcEQRAEQRAEW6CnjBP054IgCIIgCIJgC/SUcYL+XBAEQRAEQRCM0HX/H36k6ltXIttLAAAAAElFTkSuQmCC[/img][br][br]b) Resolver directamente el sistema de ecuaciones:[br][br][list=1][*]El sistema tiene solución única. Sistema Compatible Determinado -> RECTAS SECANTES[/*][*]El sistema tiene infinitas soluciones . Sistema Compatible Indeterminado -> RECTAS COINCIDENTES[/*][*]El sistema no tiene solución . Sistema Incompatible -> RECTAS PARALELAS[/*][/list]
[b]Página 171. Ejercicio 1[/b]
6.7 Ecuación de la Circunferencia
La circunferencia es el lugar geométrico del conjunto de puntos equidistantes de un punto fijo, llamado centro [color=#1e84cc][b]C[/b][/color]. A la distancia fija de cualquier punto de la circunferencia al centro se le denomina radio[b][color=#ff7700]r[/color][/b].[br][br]Por tanto, para que el punto P(x, y) pertenezca a la circunferencia dist (P,[b]C[/b])=[color=#ff7700]r [/color]. Es decir:[br][img]data:image/png;base64,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[/img] si elevamos al cuadrado [br] [br][img]data:image/png;base64,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[/img]
[b]Página 173 . Ejercicios 1 a) ,2 ,3 y 4.[/b]