MECÂNICA DOS SÓLIDOS
Um pilar metálico construido com aço A-36 tem os segmentos AB e BD com áreas medindo 800 mm² e 1400 mm², respectivamente. Qual é o deslocamento vertical da extremidade A e o deslocamento do ponto B em relação a C se a força F aplocada em A for igual a 65 kN. Dado: Eaço = 210 GPa.
![](data:image/png;base64,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)
A = 0,844 mm, B/C = 0,0612 mm
A = 0,612 mm, B/C = 0,1045 mm
A = 0,547 mm, B/C = 0,3867 mm
A = 0,357 mm, B/C = 0,0637 mm
A = 0,104 mm, B/C = 0,7841 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 15 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
![](data:image/png;base64,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)
Nac = 11,87 kN; Nbc = 10,65 kN
Nac = 54,25 kN; Nbc = 1,587 kN
Nac = 19,42 kN; Nbc = 4,423 kN
Nac = 10,65 kN; Nbc = 11,87 kN
Nac = 14,57 kN; Nbc = 7,158 kN
Um material cerâmico será utilizado como revestimento em um equipamento que trabalha com temperatura superior à atmosférica. Esse material foi submetido ao ensaio de tensão-deformação os resultados foram colocados na tabela abaixo. Considere a curva entre a origem e o primeiro ponto como linear.
![](data:image/png;base64,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)
Com base nos resultados da tabela qual é o módulo de elasticidade do material?
318,50 GPa
225,36 GPa
387,33 GPa
180,45 GPa
620,32 GPa
O módulo de elasticidade de um tubo que foi submetido a uma força de tração de 145 kN vale 220 GPa. O diâmetro externo do tubo vale 53 mm e a parede da tubulação tem 1,5 mm de esessura. Qual é a deformação específica da tubulação submetida a essa carga?
0,0073 mm/mm
0,0022 mm/mm
0,0065 mm/mm
0,0027 mm/mm
0,0014 mm/mm
Após um temporal as paredes de uma residência se deslocaram fazendo com que uma das suas janelas se deformasse conforme mostra a figura abaixo. Sabendo que a base da janela não sofreu deformação e que sua medida vale 3150 mm qual é o valor da deformação normal do lado AB?
![](data:image/png;base64,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)
- 2,631 x 10-3 mm/mm
- 8,147 x 10-3 mm/mm
- 1,109 x 10-3 mm/mm
- 7,589 x 10-3 mm/mm
- 9,720 x 10-3 mm/mm
Um suporte rígio é sustentado por um pino em A e pelo cabo BC, a carga que está posicionada no ponto B provoca um deslocamento de 15 mm do ponto B para baixo. De acordo com solicitação mostrada na figura qual é a deformação normal do cabo BC?
![](data:image/png;base64,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)
0,0054 mm/mm
0,0075 mm/mm
0,0015 mm/mm
0,0254 mm/mm
14,001 mm/mm
O guindaste de um porto eleva a carga conforme mostra a figura abaixo, o cabo que suporta a lança do guindaste tem 12 mm de diâmetro e tensão admissível de 250 MPa. Qual é a máxima carga que a haste AB pode suportar sem sofrer ruptura se na posição analisada o ângulo  for 35º e o ângulo Ô for 45º? Determine também o peso da carga.
![](data:image/png;base64,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)
FAB = 57,12 kN, Wcarga = 0,47 kN
FAB = 24,32 kN, Wcarga = 1,24 kN
FAB = 32,75 kN, Wcarga = 6,94 kN
FAB = 95,36 kN, Wcarga = 3,69 kN
FAB = 44,25 kN, Wcarga = 7,81 kN
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
![](data:image/png;base64,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)
A = 0,844 mm, B/C = 0,0612 mm
A = 0,612 mm, B/C = 0,1045 mm
A = 0,547 mm, B/C = 0,3867 mm
A = 0,357 mm, B/C = 0,0637 mm
A = 0,104 mm, B/C = 0,7841 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 15 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
![](data:image/png;base64,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)
Nac = 11,87 kN; Nbc = 10,65 kN
Nac = 54,25 kN; Nbc = 1,587 kN
Nac = 19,42 kN; Nbc = 4,423 kN
Nac = 10,65 kN; Nbc = 11,87 kN
Nac = 14,57 kN; Nbc = 7,158 kN
Um material cerâmico será utilizado como revestimento em um equipamento que trabalha com temperatura superior à atmosférica. Esse material foi submetido ao ensaio de tensão-deformação os resultados foram colocados na tabela abaixo. Considere a curva entre a origem e o primeiro ponto como linear.
![](data:image/png;base64,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)
Com base nos resultados da tabela qual é o módulo de elasticidade do material?
318,50 GPa
225,36 GPa
387,33 GPa
180,45 GPa
620,32 GPa
O módulo de elasticidade de um tubo que foi submetido a uma força de tração de 145 kN vale 220 GPa. O diâmetro externo do tubo vale 53 mm e a parede da tubulação tem 1,5 mm de esessura. Qual é a deformação específica da tubulação submetida a essa carga?
0,0073 mm/mm
0,0022 mm/mm
0,0065 mm/mm
0,0027 mm/mm
0,0014 mm/mm
Após um temporal as paredes de uma residência se deslocaram fazendo com que uma das suas janelas se deformasse conforme mostra a figura abaixo. Sabendo que a base da janela não sofreu deformação e que sua medida vale 3150 mm qual é o valor da deformação normal do lado AB?
![](data:image/png;base64,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)
- 2,631 x 10-3 mm/mm
- 8,147 x 10-3 mm/mm
- 1,109 x 10-3 mm/mm
- 7,589 x 10-3 mm/mm
- 9,720 x 10-3 mm/mm
Um suporte rígio é sustentado por um pino em A e pelo cabo BC, a carga que está posicionada no ponto B provoca um deslocamento de 15 mm do ponto B para baixo. De acordo com solicitação mostrada na figura qual é a deformação normal do cabo BC?
![](data:image/png;base64,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)
0,0054 mm/mm
0,0075 mm/mm
0,0015 mm/mm
0,0254 mm/mm
14,001 mm/mm
O guindaste de um porto eleva a carga conforme mostra a figura abaixo, o cabo que suporta a lança do guindaste tem 12 mm de diâmetro e tensão admissível de 250 MPa. Qual é a máxima carga que a haste AB pode suportar sem sofrer ruptura se na posição analisada o ângulo  for 35º e o ângulo Ô for 45º? Determine também o peso da carga.
![](data:image/png;base64,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)
FAB = 57,12 kN, Wcarga = 0,47 kN
FAB = 24,32 kN, Wcarga = 1,24 kN
FAB = 32,75 kN, Wcarga = 6,94 kN
FAB = 95,36 kN, Wcarga = 3,69 kN
FAB = 44,25 kN, Wcarga = 7,81 kN
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
![](data:image/png;base64,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)
Nac = 11,87 kN; Nbc = 10,65 kN
Nac = 54,25 kN; Nbc = 1,587 kN
Nac = 19,42 kN; Nbc = 4,423 kN
Nac = 10,65 kN; Nbc = 11,87 kN
Nac = 14,57 kN; Nbc = 7,158 kN
Um material cerâmico será utilizado como revestimento em um equipamento que trabalha com temperatura superior à atmosférica. Esse material foi submetido ao ensaio de tensão-deformação os resultados foram colocados na tabela abaixo. Considere a curva entre a origem e o primeiro ponto como linear.
![](data:image/png;base64,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)
Com base nos resultados da tabela qual é o módulo de elasticidade do material?
318,50 GPa
225,36 GPa
387,33 GPa
180,45 GPa
620,32 GPa
O módulo de elasticidade de um tubo que foi submetido a uma força de tração de 145 kN vale 220 GPa. O diâmetro externo do tubo vale 53 mm e a parede da tubulação tem 1,5 mm de esessura. Qual é a deformação específica da tubulação submetida a essa carga?
0,0073 mm/mm
0,0022 mm/mm
0,0065 mm/mm
0,0027 mm/mm
0,0014 mm/mm
Após um temporal as paredes de uma residência se deslocaram fazendo com que uma das suas janelas se deformasse conforme mostra a figura abaixo. Sabendo que a base da janela não sofreu deformação e que sua medida vale 3150 mm qual é o valor da deformação normal do lado AB?
![](data:image/png;base64,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)
- 2,631 x 10-3 mm/mm
- 8,147 x 10-3 mm/mm
- 1,109 x 10-3 mm/mm
- 7,589 x 10-3 mm/mm
- 9,720 x 10-3 mm/mm
Um suporte rígio é sustentado por um pino em A e pelo cabo BC, a carga que está posicionada no ponto B provoca um deslocamento de 15 mm do ponto B para baixo. De acordo com solicitação mostrada na figura qual é a deformação normal do cabo BC?
![](data:image/png;base64,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)
0,0054 mm/mm
0,0075 mm/mm
0,0015 mm/mm
0,0254 mm/mm
14,001 mm/mm
O guindaste de um porto eleva a carga conforme mostra a figura abaixo, o cabo que suporta a lança do guindaste tem 12 mm de diâmetro e tensão admissível de 250 MPa. Qual é a máxima carga que a haste AB pode suportar sem sofrer ruptura se na posição analisada o ângulo  for 35º e o ângulo Ô for 45º? Determine também o peso da carga.
![](data:image/png;base64,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)
FAB = 57,12 kN, Wcarga = 0,47 kN
FAB = 24,32 kN, Wcarga = 1,24 kN
FAB = 32,75 kN, Wcarga = 6,94 kN
FAB = 95,36 kN, Wcarga = 3,69 kN
FAB = 44,25 kN, Wcarga = 7,81 kN
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
![](data:image/png;base64,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)
318,50 GPa
225,36 GPa
387,33 GPa
180,45 GPa
620,32 GPa
O módulo de elasticidade de um tubo que foi submetido a uma força de tração de 145 kN vale 220 GPa. O diâmetro externo do tubo vale 53 mm e a parede da tubulação tem 1,5 mm de esessura. Qual é a deformação específica da tubulação submetida a essa carga?
0,0073 mm/mm
0,0022 mm/mm
0,0065 mm/mm
0,0027 mm/mm
0,0014 mm/mm
Após um temporal as paredes de uma residência se deslocaram fazendo com que uma das suas janelas se deformasse conforme mostra a figura abaixo. Sabendo que a base da janela não sofreu deformação e que sua medida vale 3150 mm qual é o valor da deformação normal do lado AB?
![](data:image/png;base64,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)
- 2,631 x 10-3 mm/mm
- 8,147 x 10-3 mm/mm
- 1,109 x 10-3 mm/mm
- 7,589 x 10-3 mm/mm
- 9,720 x 10-3 mm/mm
Um suporte rígio é sustentado por um pino em A e pelo cabo BC, a carga que está posicionada no ponto B provoca um deslocamento de 15 mm do ponto B para baixo. De acordo com solicitação mostrada na figura qual é a deformação normal do cabo BC?
![](data:image/png;base64,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)
0,0054 mm/mm
0,0075 mm/mm
0,0015 mm/mm
0,0254 mm/mm
14,001 mm/mm
O guindaste de um porto eleva a carga conforme mostra a figura abaixo, o cabo que suporta a lança do guindaste tem 12 mm de diâmetro e tensão admissível de 250 MPa. Qual é a máxima carga que a haste AB pode suportar sem sofrer ruptura se na posição analisada o ângulo  for 35º e o ângulo Ô for 45º? Determine também o peso da carga.
![](data:image/png;base64,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)
FAB = 57,12 kN, Wcarga = 0,47 kN
FAB = 24,32 kN, Wcarga = 1,24 kN
FAB = 32,75 kN, Wcarga = 6,94 kN
FAB = 95,36 kN, Wcarga = 3,69 kN
FAB = 44,25 kN, Wcarga = 7,81 kN
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVkAAACWCAYAAAB0O/sOAAAgAElEQVR4Aey9B4DdR3XvP3fv3V5U3Y27jLFNNwZkqjHFJhCHkkIIJeGZlgcOJXn5B/J4z4SQAC82EMBOQgkllCRAAi4UAzY2YOOCK25yl2RbXdv37r3/z+fM/e1erVbSykayrb0j3f21qWfOfOfMmTMzpToutVyLAi0KtCjQosAuoUDbLom1FWmLAi0KtCjQokBQoAWyLUZoUaBFgRYFdiEFWiC7C4nbirpFgRYFWhRogWyLB1oU2EMoMOv0CjMu9Ro/yuj3eqqlWq3aeG6859tEdfpev9XaZPjZQ0jzsBaj1Jr4eljp30q8RYGHRAGBs1QqBYB61U1OTjbibEvlNt6JmopTXksgbjhexDMPXv3p8F6brKe2MjfhtyWHZcI8+L8tCj542rVCtijwsFOgWXot7svlcsq/DLoCZziu+qkBwkqzPEyBa7WaUVapNwB2cqIRqADlxmPrstMUaIHsTpOsFaBFgUceBQqJ1pwpyfqrgY9CZF1w9cpTHelUEC3Z8tt4I6ryvdKhNKx/wLUEAJcF43E8tdxDpUBLXfBQKdgK36LAw0yBGmja1taWJiYmUnt7+1RuBNYRNAcItuEUaH1XXOt8q/BtsiGsqiHwuxoG4VYcLsVfn1vuwVKgBbIPlnK7Ndyt6awTlqXTjz031c8+ebem3ErskU2B8fHx1NHRMaWTrVarqVKpRKYfe+yT0vIX/Fbq7FmQOrsqqa+nO3X3tKeBgQGk3FqqjlXT4OBwGhkeS8PDw6kKSH/lK/+a3vPed6V3nf7mJDYL2Q2MfmQT4hGcu3mnLrj1rBNiosBJgq1/J6Szbm3U1nlvju9vPu8RXHsPJWtRvqbyPpS4Hqlhd3UdNuIPPioYxXfF/W6gS0dHBQl2bGryqwBYh/6T9fZ05NFPTkc98enpmKcsT09+xrPT8c86MZ3wvBelE559Unra8uelpz3zeenY456Zjnj8cWn/w45OA0sPTBsGsz42BNrdUIY9PYnc5e3ppdyqfMvTmbdckt55xFYfWi9aFJgjBRhdfPA6+KgOH+WRRp7cl7fOnmMcc/BWjO/x6m2zK4XGtZbaK8pKtRjax1wWw39NsoaHMdUqd6bJcnuq8Ruvt6VJ5FL1t234LgnEXMdR2k60d6ZqV2eqd3WnVfetDulVcEBtS8JNKTcsGAgWzk/Fq/ym9XcmBeYpyM4kwyzPJ58Nb/0GG8ssSbRe7WIK7NI6PCK985JLGgXwHrDdVcUR4xqg1lCfRkptAZXT33ypNyyw0qbBsdTZ1wf0VgDncposVbgHYPUE2GaAzvrYNoG4NAYQd6T+RQvTvatXZX0sOttigsxghgvXLOIWYMuH5tfZY+uvFJh36oI5V/vM4XQxNJwxFCzUD1u8vvWsdMIW6oidHJZvFf716euzZlwJaku1xwlT+o5ZA+SXluWUc7i/NJ2+rCl8FKIRp/dFmUtvTqE1mXpuClPaumznvZnvJ5yVbp1RjtnyFn63oBVhm4g5FdeMtLOX89Kbm8M2hYuCRpht5K85nPczwu4oX9O02T4tIh8z6FCahWa5Ymb5q63qlG1r/i5Q+hNwlUltxnUAsMZLLQm0kl299r7UGyCrTcHWLsDWsG3lVANJJwmsnranpyfdc+ddIeUyl0baiMQRo/ngnrwU6U/nochLzpcpFr+tU55/b1ogO9c6Vyo697SUzjklTbVHGs/rT780LT/zljQ1H2XDXnZ6YswYwzKHZvVzjw0wmwq3vTRnC19/Xzr20hmBouE2JsNMw98tZyYSSrOB2Rahi7Ikh7aNsIafKgS+KWfpW6c2ynB2mppuO43JtyI9r1G2rYEsXXp6Wvb6lL5Q+IV2l5K3aRpkMD/lujPTLYUfr5Rh+XU3p0I1Hvk2rqm81FOuBsHtg+noIv+Ga66bLQpcPMwlzbn4acQ3F1rMVp9z5geALZZrbQmTSoz+AgMzWk4N2fUp0K66b2Xq6u2aAuHIMQBpOF3UIddSuS1VMfeql1QjpJhEW7duLe/CW45sKlSGC2op/OqjAJDiqoSc8zedViOm+XuB2PPK3XLmctlyG7/ldUAnu3NPw0/T89Rrw55WP7d+S/3M5dyfdm4T/WZ7V0SH3+VnEmp7blvht34P0MwaXy6f+duB20b56rOWa3txnVun66nT0Ux5mj1v2d8UvW45s76ccFuQbyqG6ZtZ44q8zwy7NY3oFLesw7mkORc/09mbcTeTFrPkqRFi1nLNiK1en+TNeP6xDKtea3jw2vyr5m9IovUJPo3y++J/fqt+wsv+oP7X/3x+/cPfuLz+yXN/Vf/iRTfWz736zvrld66vX37rmvqF166s//vP76j/43nX1v/2P6+o/3+f+179hW/6X/WOfY+sD4+RwES1TpTbd835CL/mufm3/eDz4WvRAc2zXmaGBDclSe14Muzks89Np6Vz0iklpMhLT0vnNkt/6ZZ0AxLn8qOXbUXPk08Fii79evruFiLaDG+3fjd9nfCnnTolN87wUDyel77FaH/57740zZy7O+LIY/F0Xbp5e+kU0Tyo64wheukUqDEXtywdDapOuSOOTOb0nFNKTdLt1Nft3yw7Ghn8Qbi5pDkXP1NJ74gWD5EfTKcQB7xR1CyEWt/rlHTZZ8APxbJaX9+3Zm3qG+hHhaDUmT2XkTGdyIrJLD3h/KaNrddqtZYW9g+k8c2bU606EeoDbWgnTIJwxhKCtTfmI174ofHjVeht1d2G/naewot0aHItKjQRY263J6ezEUN0p53bNIz2xa03A28pHXvkTOjz42/QNdJx+L2VGVroWn+DaTVFlfXPgOoWw2Q7nQfjoGM9hxVop8sxi+rhwUQ/a5i5pDkXP1R1mALugBYPmR+yNQBLDFiHxeQVICmcim3x19UEOlcP8F9AFPt8u/qBDam7bwH61uy/GVgNUjjpXoCsQNvd3Z3S2Hi6f+0a4jX96TgDS30G1JGZuXGjGXw09MaqEWqYLEyaF3/4zXktUpuf1xbI7nS9I700gOycUxoTQkUcDSnoul0nRuaUGumoC7ZhbP3bsUReZHnu1/PSRxr65y10t3OPYBafAlpz/gVdJ+N2NdDuKM0d5WuOtHiI/CBATaJgFdyUJAWtAD2fgS//xRuAUu2oE1c6/WzcuDl1dgKYuMKSQJOtEqKo18IxtOe2ntpZ7tXZXkmdLGxg2Vi6b/X9oa9tw78YPr0gYTq8ul+jUlq2A/BZTWwjV3Et0pnP1xbI7mTtn/dmpJflTtbcks5cjtrAWfSpOPKQ+NIbbpl6U9ycl8f36aXbE3Ln3Ci3nU6R3m/8+pClsrnkCHBrjBLm4vs342cuac7wM2dabLue5sIPQmc7CCfAMT8F2Lp8lm0IuQpoGdh4gR8BtoSVgA1aIfP+e1elgZ7eMOCqAKA1Nnypu30hk1yVdk252KWARQy1ySoC6TjvufLr7+2Ldbir7rs/yNuWxlM7VgWl+jj+xiL9kHxJqdSGWVid3GEeZmcwNjGZJohfZ979tZzdX8vNmQIOEU85B33uF96JLhTbyC8wo83M9+unzKZ49z4Gz8xyN8/w53CoF95nuO25k9N7mU279PTXT688w/t5b1b/2xyukbYWANPT9Q0P6glnSNjNQYv7k08NqfHr21USF565HvHS9LsoQs/5YHOnYlpz1ck2xeVtWEdsnc+5gM+MmOb+OJc05+JnzrR4qPxA0ZT0GZaPjIwy419PG4dG0xii4qbxSa7ltHminjYMjaNOYO8C3o+Mo0Mdrae1gGQvkmx9YjRNjo2w3wsgOjGeJvkNbtoc+xyUEWknxkaJHwBleW4JkHX/gwVL90r3rL4v0kql9jQ6MkbaqBUqnWlorJaGxgFoTL82jSUguJQ2DE+kUfS5FSRhLXBNQ+UGsnULaKnCytw5dE/yme1DMbSa4ZwQ28ZQG1OcZY3h8tRKsSPemb5w5td5j2nSkfVsxqV51C1HpxOWoS+dSiBPtE2Fm5Fq8+MR77yE6bMT0jLsV4vgp52L1HwdQLulx3RJ/aWxp0GMFpu+hUlZ0/Pst0hnmD1tkU91rWdvPWmXwwMYl5ybbgBUl00VjIk/9KoY3YYuevZ0tvE2gOp0JhDP2dKDebhkRxN/WwaZ89Nc0pyLHzvYudLiIfJDCSBUcjz99NPTBRdelKrqSZlUGgR0a9hZtXewraG6WFUFAHJHuSMtXrgo3XrDTemyq65NE5UeVn2VUwcAODk2nLorDOfZ30DxeIxlYaUOzLwIUwU82fQgLenvSxtXrk5/9ddnpA996ENpjHRCHYWUHIsaFKFLxOVFfS6/MjrZl538wvS5c85C8kaaVr8BqIcDpOe7LNfaIGbOLbTlsUWBh4ECKGPrqANO/b3XpE0j1bR4vwPT5rEJFhosRGXQlip862IrrTL3A309aRxQ7Ky0Y+/aheRZSRUWF7hgoZM9DtpQF/T1dvPE4lrAeRypdWQU6RXgHK+2hcSq2qCDWbJqdRiAHWbLRACTuCeYVXNfrs2Do2yLiETLN9ULdawQRofWp9rYUDr/2/+Wyvhrr6AyQL0Q4BogO09luQa7zO/SPwxtppVkiwI7QwEBdgzMmkgd6ZBlj01LDjiIe5bKtnWkcntH6u3u4tc9DbZIrV2AoFYCTnL19jCZhQ62q6M79jjo7eqKq/vGjjKsrwGwQ8PjSLUpjY6Op1FunAwbGx3kCJo6qoFJ/KGMYO+DB9auTwcC3oODg+Gnjp63xG9w/f3p5uuvAoxRH6AQnsQ6oYv9acPei8t8dy2d7HzngD2k/A5d90TnyNs9X7sA1A4k1InRMUb6Sq/taUFPX2xX6JC+wjBdabPSwfCcDWNYlMCsGZrRGkCILFvn6jC+ymRX2ABArw4inkAidRpMnW1CMlXirQO8VSa1NBsjwsSOiEi6tVgNphVCVwcSdAmdq9JqbZSJsXrkUXta97MNqwYlWOKY76oCebIlyUqFlnvUU0C9oUDrdY9ygGMFKXJyeGP6zje+kird/akNabKkJAsA5vJ6OCIg2N0RU03jgGWlsyvAs7M0kTrtgOoVLBSUqWoh2VaVOJFC29l9awLd7jiTWVX8VAk1PA4wA8DqgifR36qN7ShXkG6ZfBsfjueJ8ZEw++IFIF5LRz+OOQh0vDVAeJzk2vGvy/YOcTtv/7R0svO26ve8gu95IOtkFmIkOtFVqx6IGf5J9hjYPDSWurrdYQvLgg0b0juYFDv66KPTwsVLAOB2fp2pglpgAeZYvUx4tQN66mi7uzvZuLuLe7Y+BJQ9ombTpk0A7DiqAbY7JKnV69ancWa16uhzN21Yn9qRVkdQD6x7YE265ldXpX//+lcBa+xqYR/NylyQIIZ3dXWkfffbG8DlIRx5xzE1Ftf5/Kclyc7n2t/Dyr4nSbMhoaJTLaGTTZPjaZ+9F3NfYdg+mfZTimUkP47N1qEHLkptE0OAHmZcwxtSV9tA2Ly2A65jmzeldvaH9efZXtXJMYCUia0KixQmUSmMIOViWTCGmVetNpYGh1AdgIlOXlWxBasgpU6Mrk8dAP2iXpQKoxvSMUfsK64y0YaU2sDTSSTnsDQgv4G48JVqijJmXtnNb6BtgeweBjTzvTiPNqAt8juz3kIqVypU/QEQslEL+IUVAXpWZcRxXk8iQipFnvSSl6aVq1Yx8z8Sy2lLDNXrpXvQ43bFcL+EVcF4m3arqB5YWFDWDItTE9qws1XXqoQ7qa0sWDjiH/SpkwB4GdBEIAZoR1N/f3/6rVNfGWeGobZF/9uQZMlHCUAniQBdJWS1EgGw5r0BxDPLN5+eW+qC+VTb86isjxbVwbZA1qrym7P/m5nY+sM/ekO65vqbUg0ptAbYlthomz+xN4EmW67qssxOYqlL9TfOpFYvABoSJ5NVYCHfmQATEetIw/wTkEdGRoiL/QjUwbYhEzODVUeaLaMLHh1nVVhjyD+OuZYbvzi5FSoGJ9EA5wn8PP0pj09f+/LnUpfCK2ZfSsTa+LYmvloTX/Jyy7Uo8LBRQGCczQmw4FwY/bsv7HC1nn771a9JPQuWpLEaZlm9A6gPyqgCOlMPk1yd2L1WR0fSQH9PLKXtw2a2Dem3C/2rCxb019FZTj0oaLtB2wrScRuAOoGJVphkoWfdPDSYhpFgEW4jLk26qqWONIIJ1yiTYaPobr2aZ/W5Q0ObkXYn032r7kwbOLIGzI8duzpB9Sp+290HYfbizVbkPfYd/U3LtSiw51FgexLio6m0o5hshQPYqgDvqLtpM/M/jL50UsUsyLYJcBzD5rW9k2E7CtOwc2UpbQVbVSfHJlELaDVQRQr1jK9anIbgN2xjCcd62DTOxFdbe0/4ZcQf+xtUMAVzzwOXylYMw4cyEvOGzRtYcTaoWIwknSfQauhtXbdQ6GrVCYcOQWF2nruWTnaeM8CeXPwCaL0+2pzSokJub08nU1oMukGvm359feoeWIz1QHcqsy/BOIpRj4sRLrvR1TpEbwf0OrEM8HBFzbNcCltDx9rWyQKFzo7UUwEoUQ1UsFhQHVAHXDcNDQVYu/eBCx/GhoeYQBtPmzduxNIAm1jiGUNVUEXNMIGe1v0NRjHh8gjxWIyAFcKiPqwWyK9WB6J33W+oFVqupS5o8cAeToFHM9C6T2voQwGtvRb1pfO/dyHPLoF1Jy0AVJ2tE02gsZNNrvBS6lRn6g5bG9duTL37HBQbyWiiJRhX6uykhbTLFgaht53kvSqArp6BNIzUXGITmPoEOtq196ZDjzoClcBwgOrYGOEA8irWCS54MK0u7HLVB7uBzSHPenZqJ58ufLB3aAHsdMNqTXxN06J1t4dSQKnw0SLNFvkMAAWwwK3QvbrPgNsJVpBSFczHmWzqQOepblSpNA/lmdZyUguo+5fPfj598O8+lv747e9J7X2LU++CxbG3wdL+rrRkYU/qw65VuqxbvykNcnT4uo2DaYTlsOvWb0zr1qxKV1x0Xjr329/AxCtrFCuNK8oBJFX3NhhnUUN7gG6Irrzr7e1FQ4AVAxvICLRx73K1ee5a6oJ5zgDzofgC1qMFaM2nzqvwNsEsFJJQ6sRG1ndKo9rO9nbRdJEmEU3xlfW0nPuFDSzvCXj4wQeldfffn8HXJblMjrWjYqgAzNrbtrM4oeLuXF3ocNmdSzOxMjrdtvYR9jAYTfvtt0/q7mKjmcBY6Cey45SUQ/GqxGu+mFCbctLZpbTkU9+uGmu5lrqgxQPzhAKPJqBtrhJNsXQZermCXiVPM4gTDfxQfMkSpvsOlBjCL2X1lzqE0fFq6kYloJoBCAz/AdYBhEr4vmPhLBNbk+h4BUdNupYsXuy8VsMpT7uXV07Lv/rzSBslaF0Yj+XoFXSnsxVf5/efliQ7v+u/VfpHOAUao/QANYVJoc7jXlAccI+tgCDLs288X6sEsPpqn332UacAYI6lBbwIKEQCLmxohUXl0oBOLBQMr+mW74eYCFt26L4xkZbJg79IBgD3ykt/rlvIEXPNfUF88SQyZe7spj40nuffpQWy86/O522JH63SbFFhAlxgVxz5IiwCfqoMeK906hsXC3Agd1q699KQZIcGh3kLiArE+p1yhEXCzZIsFgjENcl3gof969Ily0JSFVxNIIDV6Bvh48ozAvCUC68hM/tqy7SmPM3DmxbIzsNKn89FfrQBrTavAmghKjaETZ4bkMZQv5Aa3Z8gDjVkCK/pV/fAQCw0yOEbtY4fnWqHtlgKNh2375V0R1hksGjBwgDZRjJ+mgJY78HneM65KHLjFz+YBgmEKsJ389u1QHZ+1/+8LP2jCWgLgBTMCimyudIKgHVQXgeMY3mt4ihOG9pBJFlVCvEm9LgAYKHPxZ9SrpvDmE5OizO8UBfswzlfIYwWKEp8gfVczUdOgZvZHMA/ndnt+pwt9B73rgWye1yVtgq0R1GgAZiWSZBrGp2HCsD9AbIqALgU3ARFfm7gsvfifdmmcCi+5/BNiOmLcKocCILyV0lYPe/g4KZ0wP77ZjBWNaEzqOiKnxxLlogLuFW3q2vAedy3/mQK7J5uZrYueFfXwIw0Zzzu6tSn4zfhbf2mfbXudjMFCml2Nye7c8nNZNpmPiImJU+FUqVRjRAKCA34AxsPPOTQNB4n1boDFxpbwhcWApZflwEaiOSj2oM4sZaNZfbaC0k2POTLln8LgPVt830TqxNX1uduGXI+Pu0GkLUSmn+ZzM38MvPe/rT4TX/Lb7aIK/NJRFj4m3rwhpfFe3NQ3G/vGuGb/mzP746+5WhIOXRUzTRo3BfDtyb6TJe8KG9TZmbcFg1lxustH2dmcsuvWz/trP+tY3jUvHlUAK28gYF/MC+U9VY0LaqpkCvlsWp1JDhJL+54sPeBj0kbN6zGdnYSe1dgNuLJpxzIXayYjb0I3Bi8zp61bZOjqQdLg1GODB8YYFNwUXsmQkTCxCULx0etHGZ6yoBv8JbbmoSPCJqoZyr+aZxS/Jstc3bI2uV5nbrXY+NFhPWb/xpXbuN51mtEYnD9NyL1Pjzv3DWHl9UKbpUZG7+wieE+hoMFk27raoFabldQ4BENtDFJBZqxb4E8rmuc6hL3smcZ8XMCW1hdxU1Z4pTYzHF7Y2GgOdXoIKfJslTWTV5KROQ2hW704qRaDXCtYPBaYkPvTt5VRzalXvY4cPlsicUKka5syj+PoglWjtRaf+ZKgd2gky2AY65Zyv6mesEGc+W3AXWNiIzX5+wzet3ii9ioAsvxEU4DFKwLucotXAPYtnENxnZQBXM36cMinkZeGtEW0W/zapgqjcBg5rIoU8558VRks3huvhLScmzDFZMi2/icX287+OzBdtb/7LG03v6mKACzqScV7NrQubqMVoC0mkrxzFEw7qLNvq7yiqDrogJPqF3M8TOr77k73bXittSxZiMg3JGWLujFwnYyDSzoJ442jq8ZjI1m1gDEk6z8qnIcTYlTDS6++OKQbk8++cWAMqcpkEYsjADZXYDQzHvmpdE0mkodoi7PD679N0X0qL/dDSALjXbQcItKar5uTdmisqy84t64qd5ZlD++ysYt+Oc+2DLQ0QehefZreC5gMfzntPDdiGfnrjJfc46Nx+fInx8j/1zDka8pUI0Uiw+t6y6kQCHNxshjF6bzYKM2X2V21ZJdBFgVsW5t2MluXC4+kJdcnAD68Y0DFVnOyrmInFrD/gas/lq9mr1e121mq8OUbuN7F3vKVjlypt2DGNEtuEVhtQ3zL6TaHvY+OP64p6YvfPFLIem+GJBVQg6Qd3KMAG1usYgbZ9OYDpbqznQtzt2SIrt8gxgZo9nNWgF68kNx9daxULzKIabDzYxRX2iYpjzknYimo2oCZL3utHto4WVOpezmWWEKN5WLvHv81ONWN2Eszttp8N3Ky3ZfTKeUvTXW/mwzzEz92hRZtxliz/kgjQu+e2SUKuvllWUnONxQEO1sd4/XPJSfZMnVJCoA9o5hq0N4BMBsKwOWAOx4fGNhASP8g494YjrxRS9Nz3jms9jEpZsls4vS0oW9qYezZRYOLEKSnUhrhzalEfaJfemznxj9PnvGkBZWCqM1NpPh4JoxdurihfSJTWkA/ezyteCzaX5RlNAV/vLTfPy7eyTZbVG2qBm/F/ehBOI5aitX2XTF6bF4ygHsWbMrKpWo8CJjhrzaBGgNjzu8FCmoLqiHNLvDINv2gPoh2KwoX+FzKl85tebP04BqyKKczVJuEUnr+pukgADyyAJapVe5mD1dkSLz6io35QZvEUs/9U//ki7+5XVs/NIHMIKK6F3LtVFUBhyiyM6utUpPGqV5lDt72F1rA1skTqS+jqVpBK9u4l1nksuhv7t5lcc4DhyRFixNH/37j6eb7lkZvNeJDe2Tjjkynf6Ot8VJDaojiv0UYpetYt3vb7Ii9rC4dks3Mw1/DeoFbvi2+SdYskGFABm40wAfQLfGECaWBMIQBTYV/uzrbRwhgTQA2nORjE14y/687viXe10Zu/GLvCglP9gfEgc5idwoZvBjkzh+6tgoF78qOjaZu4bk4W+yxkYdcfVeemU6ePdQnLFsGVMz7SOhiH5rfw8l1VbYh0oB5w/ki8JNoG8tM8z3d/4Pfoy4uSBNdPanca73jdTSF//tP9LXvnN+amNz7xrvu/oXpd6BhRG8o6sHCRd9KjtwjThZBmDGPghI8MarhKr0euGPfsIZ4v2c893P/gSV9KOfXAz4wqMwh03XjmiCybNCbWDkLb4JEs/6Z7dIsgWLWBFRS4JrFtC4Nm6iAvU5PZOqdyGpDaRsqPqjMgXQ8BcXtoDj6sSWgFrCeFrTFGEjGEI/c3WRQeIi4PRE2hYD/bnG1PDHbC53RfmjpL6gM/BffPF8ZXxMqWJ5Py3J8uWhJE/Mc3NFDufme0/29UiTZuWFUMNCdNUAnnagm1SRCtB2L1ySOhfuFTwzJtNzCkLiGJmFez+G88Ha0eGW0xFHHJk2rFuL9OsZC8aj9NoZYRREPb5bO1nVARoQSIOeBYtS3wAgu66cLr/0ovR/zvib1IWu95CDDkiv+YPfS51YINQFbA10W267FNgtICtzTNWFs/folKZeuEoFYAmpDYaK3hIgsrI5HYPjL4BXhyj44hKYrMAaQMuzu8KPcEb8KMsHFy9emD72Dx9P553/vTRMGvb2wYzbIYHAPNPFXNTUezn3wTmlkDaPV6ZByMQ2mEkmHCoU5JjHPTZ99CN/T6fgscvl1M3ZHVWGgFVtFZlMEIQ9jG58rJqPGDFszCzTiTSuc8mVxYh+rCiPKhAbh5MYRSPRA/GHNUXDX408xyTLXBLZw/w8ooDWvrhRJ0UbKvI3acNi8muyzBE01meF87vht6qtpaOH+kNlgL51//33TyvvuA2rAU41ILoy9R2LFHoBYdRtbijDGYtpeBzeNDmkjEWLlnCeGLqDhkXD/exNe8eKW9NVfd3pjW94XRpmf4MeNukGsgOUnTso1CdUmjoAACAASURBVAi83KYz77pmQWKbnveQD7sFZAVH+cRjKjwDntpvkC/3gm5MXGGX9dEs1AWA/urGW9LPfn5Z+uU1V6frr78+3Xn7XcE0XSjrxyeq7ABfRRfVwbBlGNPAahrZtBEtUznts99+6TEHH5L6MFfJEq9pk57gDsA0X92FCLUUznwIpjOvfnsoro1Z3DbsDskzgOkacucLatgkXv/rFen5J52cfvdVr0ivftXvpBe+8AVxZLM73p/0whPTJ878h9Tf08cMcmfYJ7ojvlKJ8ahD0xWNbXs5LPBzyo91ofiCm2q/bnUXzE9n59EmkZagPn+BtqBXAQrFs9dmgJjt+7b8Fu+3FaY53sKv/Jp3ynJSzrdwNTdqam1THukd7ck6VIqVx+VjhkDqXNvK9bT3vvvGRjFdWAnEkYpYEnR3YZkAP5qXCuhdxVLANuCe31WOBB+P0VY59fX1pwfWrEsXX3Jp6ue4mb7enlAtdLMvQs5HpofmZLqibPbZs7lZyzibxz3o3S4HWWk9CbCGbZ9dcYP4NXRAE9j2tdPjyjAbRyY5tricLrvy1+l9Hzgj3btyVdr7MQenvQ8+ND3+uS9Ny0/maAsqXyNpwUbcrDHM6aLXveX6a9MP/vObqYNetr29Oz1w/zqU/igQcuKN6iogZcsr2lG+63HL99PPjeAP5hKgznlIMLt5Hh0ZYkf7zpAC2rFj3EzHcMbffjh99P+dGfR54+v/iM05BtO6tWtTJwA7yMxuN42kg8ZhuZUUCoCda3aC3BaNxuRWdubDxxr3xjeBxB9Hi9Aq9BvHmzCscBjoMHW+OsGiAKECOGajxc6CxvbiKtKcTkfBIO/C5cJYKyisQ8ibKrQyAFyBP8p0mtaex9CoU6jw4+jENCHfYY3gCQjDw8Ppil9elvoW7RVndC3u7wQ0u9IAeloBccMwJ96ODqZ2pNl1GzeljYwMl+y1TxrC/Ouoo45KHzzj/6Sbb7g2XXD+ebQxO2XAXp4hLzrzHvm3jcdzXLwrboKeUw9+adC4+d2eeL/LQVZCBigGmEFChzj0vtX6BEdXsEvQ6ARHYHDw22Q5/d8z/iH90+e/lF72O69KT3zm89M4SvfJrj561RLDf4yuAWHb/Ti6JYxasn4Kk5V6uSsd87SnA0jldMtNN6fFS5cwavI0T0AcsFXHWvS0RSWaL50zsdt1IRls18d2PgL0NAbNtDwTyV2RJslTb99AWrvm/jgS5DnPOzHdcduKtHLVPXEKaW1oBGHEI5qZ08B0ZpKORSf46VQV6GzcOxqeRRmRSAq92RTAEl5JhbYSkpApqIJBacc7dNw0lDxzHGI+H+anK0Cg4JWZV6mysyC705QUAbdyWf3UJpgyTKygK6WVxT2SCAclItRQh5PyNuHHJwbjSJmhzRvTIPzFx7QKawR1tLYNeasKaNYReq766U/TRpbVlhgJenptmaujp1//+tdp7QMPBDC6OKEMuKuqK3irOYvK2aqi5M+io/J7Qc9mv/PhfgcI89BJoJI9gyxtGIBoa8zkCD4eP1zm5Mub77w/vf3096Yhnl972tt42R2zmuqWxkpdMAuVRTzqba24siYngCtznDDQEODUmW65+TZ673p6/nOfk3r7+9KEEpvSbAOktlWSurqM7bli+LU9P9v7pm6YPOtqqDm8VRpVqr311lvTj394YTrgoIM4LZQ805FU8VD3tFH9oz7p4blZRVDQ0vi2p5stAAFhBu7GggEUrfmT/pTJQ/kgF3FPRCNzb9EqqoKYFMGAvUYjtBFlFYqpzU9XAIN0KWj6UCixI1DeMg3HeNSZFYWU6tUaCY6lLj2GRpOqDvgc1onlsaoT1LNWeFelDQigHEKbli5dmt79Z6dTnVlF4Miok2PCXWbrEd/tHKwoyPYBwH/y1nfT+cIDpKQt7T2rVqVrrrs2PbD63ih6njhjzwJoAlEa5MiAK8D63XkUAV5XAG1Rth3RoBHhHnPZ5SBbgILrnuMewoeS3FktAOeSn12Vfuf3/jAtf/5J6YlPPC5VehamwXEqCnSYBAxcP90Og7VzVafppFQNKXjSNdrBWOiZAIU+Nhle3NOVzj3/AiRbgLivF3bDPz18CUARU7ac0Mp1WFS837flnMCSlfSyc1eNyAjVGKZPAmg1kFO98gjbybXD5E95xjOj41iHyqOnvz8NsgPSTTffmr7xH+emww7cPy07cO908P4cJYKTeQVWj3z2vqBtfNzmHzdyJgsMLcF46IYEQ2GlmcNCTxgdQVLpQr9dZubalUB1pG2Hodkp5+ZOYptJzJMPM8GhAI9dVfxY/u2EKfVVa+g8TStjF0BGFakiUBUX6gPP+XbESF2XUTGpppJPuuG3dWsfSJ/5x4/DP4wc6eSr8KTTIyVGiXFPt95NmHaY5Y47V6TjAOce9LblsXLaxFLbSy65JI2PDHIszaHwb0fw8dRICqCN9mXe+Fe8r6qKolOXTjNpl8sx3eiKduh73Wz+85dH399dDrKSxM7OmX5dAAUV6RnuGkW/9y//Mj3jhGenY598POqBzgDY5FBfqZXKaW8DnAUpGKeEf/WsHTBVlsgqqQvwFXgOPuSQdM+KO9ITn3J8OvElL0nj+HG401bqiCGREqtDI8PrikotGGLbIJuZOZiI8Dt7VQ8q0CoZdjAU18pA/djmDRvSV84+O93Hkcy//+rfTb++9bawRezo6k03XnN9+v/+6v+kDXfcysRDOV14wXfTcccdF8xb5Le45tJs+bcom29ldCVXJZqaNICmVSqkSuNbcdfd6bDDDmMyo6FaIX/dTNLZ+tw0pOUyBaSnjV7enel2BAbNdWHYIq6Z8RTftn6fTRTjO39UC+TJrYnIU4zEECpkzLxfBx2xPI4KoQ2QbSfvnYyGqiOb009+gP0soocjo0nLA8h2slBhcHAw5ke6MTHo4xTajWs2E47OnDYnn01wsOKdd9zNSGw0HXXEEdNZtGETT1Empdgx5lraBXh8KeAUo60d0Wk60j3vbreALPXQ5NCRkuowguiFl/w8rR8cTy8/8SVpE7qDCuCK2j5V6Z092thNiCuKYQCF4FTucOwLw6B3EgIEjnp1OKSwqy77OSYlfWkpRxlfd+MNaVS9FMAe7QKQ2crBQLO5Ld7KZICk2Te9nb0av6eAymBqk5Vi7XG8d3HFE5YvT9dcfWU68xMfT11swNHJRMSaDRvTQY97QjrxBSeBkOPprpuvTh/8yFnp37/2JbaiU92Se3lHA1OMOzNzptugeYWjnnNDp3lNsAM+QGokkzTMlUys/ezHV6RTXvystAjppuYQEvqWFZG4mlcbka5IIh5m/dNMOemdn+lOw3cjO7OG3ObLHSe6zaC/qQ8BIORDsAjAyacNNqLnQ2N20KzOdJLROiq+FdeZ/qaeG7QuaGXUYF2E55IpGpHITwBYSWmVLjzCwVdRbzlN8+r4q43OvZt2s3CgJ73lTa+HhyZC8jWsTauGUfmll16Kyq2envWMp7NirC194p//NS1ewIS0C2gYcXYtWJKOPfrIdBOjrbe89W2oH5hP4azwmPxytElaxnXvfWvSbVgBjTJic/+EKpNoz11+fLRdR6SWJEvnuUyyl1oF4ynKHMXTJzdRLttu8XGKUM038lnmsea3j6T7XQ6yVcFOoJFFJCp3VRAAjUD6yw98OL3s99+YNk7AiExw2SDbQWBHqlGBTsRQCyWafvTSDbBU0V8BAMuoDboY9rbDOIcffkiYOjmseQw6zjqRKDkGkyO+xhAJELGx+G6iyuYWAFtdRW+Aaa6WKUk3cirIwhjkXdCSh3fmSib4zzn3NIiYJDBd9F8O8++6++60ibXizzj+qaE/u+zyX0Qn0o3JDIsj02TP4pA4DnrK89J3vvb5dPX1N6Xjjn1s2NGa/zJSP9kx61s6Xvp9+rVgTGPihfIFkJs2UeZN0HBFrTt9/aa705XVX6e3nXxUOrwTehBb7LAfEVjoqDYkHUx9iKitkeA0yOPRFkFjDvAmoTITd0KCFgx1RhI6mwFRZWciDefqt6gj6WxGrePcwrjyn/hsxMXVSH71q2tTd7eWJKaTyzuO4lG6FioUvy/mWOv2RpkaycVFiauBRzlN3qrvzB8zvfJ9wx/5qiKhjSIIOJG6eu2G9IMfXZiuuOLKdMONN6V1m4YYNTEBhbol7LKllcVAONDmtHDyd+7wTE+KWNRcbjWuU8+N+5iUojPERxquOsFFDbqxC0HLqMuuufWOdNTzX5E6kT7bEDzAPXoDq6FCXddTL5loQ1nbVnKxgSNC9pV1ohiaYikLl6l7Z2SIbXaHgM1+tHbK1mUZMy8STBNtHSxM2Cc97wUnp8t/9rNUZhVYCbrX8ZMB0nxXYuT5H/91fvrIWZ9mVHk4m4KNphuuuTzdeOXPOGVhL+g3Fvm3jLUqghKqDdtauyM9exI6C216WfAYdaiKJMjAJUvuhsRtxfCZbvljpmm+f+T83eUgWwJgg6nzrJUtwv/pBxf+NPUMLEkLMBPZNMaQhkYxMZ57NI31bejBn1aAjYxABWMGKSG2+qMOKrgbiXVsdCiN0cP+8R+/IS0lTs1RulnB4tD8l7+8Ml1zzTXEYSPMRv0VOHWSYVMsErAdFOARdWN6vOJ9M1ztdLUBGHWYdBGrck5Y/ox04P4HIMVnYBhmCHbZFZdhC3xJesITHm8RI28ynp2QqpQya9JHsKk97JinpG/+93npKccsiyzYaclamQ7cTLfjWbOohYKmPB2oaCaYcOvqGQh/qwdraV33/ukn9wyl8nlXpD8/9alJ83IULDF6KNFIQ4KjoTvBYjIOmW2kbdA8J4tf8iz9AkAAf1fpTYyNMsLoasBFbi/mtwC3CMPzJAswygC+z7kDJG7qPpx14L2gi5vAOH4Me87jn/509PdPTLfddltcR0fRI5Mnh71r1qwJPfOC/oF02WWX5TxF6PxHSw+zW6RfEC+nyN/42Aggo8p/whEd8sYhpyNTeubzX5Se+tSnpsMOPyKd8srXpM5el59iEYJ+KmgAX5bY0cpOwzIJab5XCA51GcXxGXzhm+XNekzhVAlUidSwPrvRdkd7V6oyy++7LgL1sIvW6NC69Il/+jyhFWAw2AJI1RrgKdpOJw9OGEtLlhxE2MibaZC2fskdaYQyi3e2rqhh/GJ5Qtganda4el0AeOGSvdKTn/Gs9MOfXJye/7ynU4/QBiEoT5ARD37rSL1HHvsUVHZPTWVGYZs3YUpJWuMAbgfzDzUwYP2a9el/vO0dWA2xHJhOqLM0ihlZe/r0J/4x9WCCaXsLXS75LjnkbQhWQfhH6Z9dDrLSRVk0atU6lLlghG9/+9vpmGOOyRImB7f1qa9U6nBIjStTsZoTFDyvFBCSTnwNH/jhO6gkY65cuZK4utInP/GJNLBwMeFUuifMTtamk1/22+lv/vbvYls28CkkICVKV1uV6VFlOkGimOAyx4VEO5Xcg7kRZGHGO1fcns78h4+l+8jjwkWLAbnutHb9umhonXQE119zbYCEUpgzvubNMuncc+GgQw5L5553Qfq/f3l6vFdClDCR7YJA4VkC46CvDkr7EABLEw+9W0dPB5JyBuhN64fTKJLmGMx96eo705d/fkd6xzMOSWhl0ZkzovDKnyKeaMPmi5/6bvNATsLZ0IUjU7a+7SCQS7gT1HJ+9NvI4dQNMhPmRZrjlZGyTJE48WgyXk3Be2Oo0IhHAO/x8ZH0P97yP9JHPvKR9IEzPhBgu2HDpuCB8797bvDVnXfeGeXOIGk8hZvKQSMPjecGzcKXhA1nRkyZSUP47xP/9Nn0lBN/J1154TfTX3/444AEvAPfbh4ZBRC6UpkVVONIbIJVmaH28BDvUQEpLRbg6lWwDZAVqJAkpFCdQlLVcRWUrX/bSafSJGFqjogAfPlyEqm0G9DHLiSW0JbwU663Z0mRMIJ0Ox2X9rOp5kiCDFCRkyTgT8EiSMt97OlBjhVvBOxJR1+0vTalYzpSR4A10nXfg+e/4KT04wt/SGzvCbtt60zayIjqf0fowCtMoHb39CIVl9MQk7ht8Ldls1XXqd9hOvyfX3FdetErXpNKCBx33HRVuuLKq9NkpTuNsnCnFsIO6YsHhLHirYHCBQ4UD1PX8Dn19Ei72eUgW7BrFJzKcMKF2mPI96v0h6c9h2GG+18KRjKGs+b4hCs1KXLZoBKUDrZtgKwx5ndhjE1cMt4JJ5yQ1q5dnxYs3Te94pWvjl50HAnnX7/0lfRHr3tDhC1j6hVKf5i7gp7KdLVfheeIMtiOm0aFRRI2lwdfgcarzHnEY49Mb33729IH/vwv0hvf+Ma0ZMmSdP+aB9LH/+7D6RVvfF06/vjjsRH+ANKDjDrCULiLoSf3o9r5Al9IhOq7hlhi24sUU8PUCsGmIAM33pN/89zo+UPuhDBjtOgxznnq7kfagXGVoOvMNnfit0QjqGByME6cJYa6P0BHfurjDkmuzuwjflb6Av4CRgaCCaSq0BPSOP/t3/89XX7lNTROdG+UUyC0Qxl34gO6tgMy1VEUH3Zi0VKsP0c1ua7NsnXurPexRz8uvffd78TKwdiyFNchukM749UVapZo1DyPM2y2QxoDcLOKgJGNVhcMY7XeGGUDagEtjr22fu0C4sqt16AVV/mreM9jOIAqhtR0ZqZbYXLo9ntXp7M++Zn0oY99PPX81Rnpj15wbPrMudfAyszC95IedVKF1tJ4Eol7YoxJB+Ke4L1AFuZz5EfTOcsd4gNJC052ivyPdxr310yfPPkbVxIWjKFpAC9CiOZ4A5gpKkUKgkq6Ze1jJRZpWG5n9SeIRwmzTZ4wDgttxx//Mgksr+0nSGImGk5rHucTalS4wo1bHR148GHpgbVfAwzl6wjh8CPr+QkXi2bIm5PSFdplO8vDR+CvMvmbBKgnEZomKW83+yIs3Hv/UDsMrFlNJ3JjMJCCa0XhquFskVa/KTW7RsqNVw0GafbwCLufLtFuyph6JXs1h3ahUwNYFy/uRVlOZQQf0KhlDBgmm2xl8LNXL8ssgkkDSMpUWBuKeplAdcDixUvTKYCtQ8aB3s70cxT6z3nu8+GIrGusKhnLODBhmXdDNATzUICs6ongxUjHyrVnlQMfXEWqv9RkxgQe97jHpf0OPTjdcsstWAz0BdC+6X++I33nu99OlzOsrTDc7EB6WIwp2ihAaGdQiSW1Hg+ClEJD/+klv0gved4JThzbloIDI2dkUdKFK25oOTH8VtqYbM8ADdNr1eEGTDJqeeO69IQl+6d7B9elxx95YOobLKeLfnhBOuzkFwCS0Ax/Fj/vHUEjp6Er70xAxx9d9NP0i6uuTz0Ll0Ij6rRhoucQb3Rwc1p55y3pqU98Ag2STswmCdAoqtmgC+ca+qHBDek//vNbYSZ0+p++Pe27N7tH0VBVC6jaUReqfj54RUmO+DqRslfecUca3bwprdBIns51/fr1rPRbS54n0roH7o+rQ+UYGVF/8o9JC1zN16hwXppm1Dh8FyAIfWtkthPAlk/+9UtfTc8/6YWpq28BwJF5Uj7avHlzAJ36zjo0oMZhUeVzwBk+nqAzAGH4n9Upk6Rj/IVrp27NWfEveJ68Smn5Wq+a243XRuAP6sRl5Niz1siXKgk5W2FD9Vp0NgRwLwLvBXStRDjiK/qSqPVoP7Yh8mHl4qgVUptWKdgeVNm5+Zd6ZevBRQk1Os5u1DArV9+fHveYvSnvENKomn7ySV4ifeIUZKtc1eOXBVr4pZMOgZ4gDSM48Eg4NrrhnZK1qdtBdRKm5ObhjmZZIqytr5TK1I6sBuh6V1CwiZ2yh6m/RagH13anovkN3OxykJ0igtwy9cAmw+hgZSJ/vUhuk5NDYQsryWPihUoOvWyjkMgIuaHGcyZcBS4og2ELFw6ExCG4fhTpcNnjjmWz4cHkphZ/9IY3RQMNicI8wACdSIajo8Ox4qpKo4xs0RAd7lp7UYH8qcltDVTQzjTUCTtxVd/WzpCtZhqUUz3iD390YayeeWDtmrRx1eq010H7p3JP7ihsfEomYSQeyA/J6Ei0X13KngyfZv/QU048gUZM04IE2jdG59NgRSXJ6IRkRRhcCXMzf+o0UiweAzTcJ6KDlXNttP0/fd1vpXUoYT/0qf9M+5T3Tb//suPTXvBmF0wOZjBUJRquVdUXNIgQlOg0qtCEaNLTlj87LT7gEFQHxAfQCuqug9+8fk36BY3zZae+Ohpcje82OukqOaUFTZr6nUz3rrg1hMwrrr4uveS3fjt95Uv/yiTmoXQqNEKc0k3o5rknenT3i9I7/+y96TPn/DP7PbwwXfD9nzBq2YTEiISHJNzJBOoll16W3vb2t9CZkCKdKe3YmPxD2nGJOjc/kSf+ePVb8IB5pRw20wfYh1Wg+NwXv5z+9mP/CPrQiaDn/8S3L09v+60npQ/+y3+nn111Zbr1lptiVZWdauxqRV3aIVmNpizwTUmwPBcu66FzO4j2QJ16NYxXiW6n1s5ilZGh4bQAW3Anuaoswlmx4l5wC6AF7Nsgkqv1sqNdUOdtFEb+C+EkSkx8ITAoXeMz8kidNEI1X4yrRtp26HXK1A5fmtd999s/XXfddYDsiYQjbhETqimRq85oB/w7sK/V+kB9unMSQG10tp0AtfuNqDrsRkW1aRjVCh3mIPa34ClxNDoME5UCUSmZfqYiTR6NrqiVXZ93GYYKVgKzgl1i2gPYDQIGEs8KUIfkMMPeXKY0SKkxfMiMUJA5X11J1cO2bhuwOT388MNDonnr6e9OPd192M/W0oU//lGAlno8zzeqMnSpwHxDI0pJzIjG8E7m2LL4hYogUiEPXgUHG/vOXVVHcEAdq9o0v9I985lPTyc+//mpt6c//fd//3e66upfphNYkPBf3/0OnU13up8zlybJp0wuw44rISL7789Q7YJvfpXh9VBagjmOwOHQWGnemJ24cMObwFnyKoOqRxxEFfDxT/1T+svXvyEsMkos1VXe6qIF7o8OcREc8HvLj00/veaG1Pacw1M/8S4wbtQoNXRkIZ0odRhnozkqVTp87O5mpyetQuouZGC6jHw7GVJhPwpsglIfe5mOI6lpLiSomrfcbmieEL0dZliweF/K2Z/e8CdvTjfecF165e+/Lu134H4s/xwK6biNeJTqTdO8jKH/jNVM7QvSpVfdxLss9VnHdspVAKHEgpb/+v5F6YKLTkadwLC9yTVLkcV9gB/M5tX8xZXMCpKdpDmMmubEk16K+XZfWreZSUL89kO7l7/pXel9f/Ky9NFPfS699y2viRGKHaS8rGQvLcxfs3PydaYLMG28FNqLfCFngF/EAf+MINHbNVkvLhypMyH62j95O/VIHivS0wU7BBDs+DliVEoUrwTlCAs/2PEj31JO4rPM+PGnLlbzyWIvAmndRnxOHmd5Eqme9rrPPvulFbfdHjyn9Y5llBmlfdGOrBFHolpajGEmWBogHmgy5sQ2fOpihjbUSN29ChR2/vA7E7NldM0BEOSQKMKJAbyMx9z15PePpr+7HGRlWp3gKtNEI/MK9ayIHrZqUyKzMh1+CapUV6ooSuFsmFs6qZ9roA3GcOtATXWu/cUv0j6HHp6++c1vBtiUa2MhyS476gnRQN2kxoaqxKO0qMRh+lZw9JKNjObqVEKUaXyS6UnSPPO8U1dKW3EWnrI4A+7uV1dccUW6/777UAlk4Ohmsu4Ln/1s6l20MBpkD5KKDbOfBQJjdEDmVf3K4r33xaB8LN12x51pyZOODloJXP4TGgIoSKdOR2a5tMBxldA9G4cAunJ6//v/d/r6P5+dHvvUo9I/MAn31Mc/mWEk4uxEOZ103JHp+xf/EusOJB+Sm0BX2wHAa30RS5ztIKi8mJnPXE9ZaL005rIKXJZBj9kxUJcd9ERjDOOjE6Uj7epgYx+AVqnIUyaCzOSzBHi4xn6Ymfme3gXszDfAopTnpW+f+710yFFPCsldIcn9Uzv4CQh2VupbaZ9UxmTqg1a6HjbdscydNF51kdaz/rJaKDOQ98UvaMWzkr821wU/OZRXWpMfdZQurCSUxCeYeFq7aTj0422YDl7ykwvTvXfcnNYx/F1MuhNMeEWHRBj5xVQhf9zzN/JvnA028zZc8BZ3DbIWAeKb9FZK1LRpgg7U87QcVfi60tEHXRgFMjMvXYJXoYEJGsq8COdKiOYjADUS4wGeLoC9uPJyyilMKAHX4UOoRNuE/o0y9DGppRWPIxwSgXSmxld0z9Hh0X7taOxA5d2XMel87JGHp6987hzyWUYQWgvN8wReGz2A8ducx+GHLm3QJFysppjKDjd2DE1OaXyLF03fHoG3uxxkC1rYCKL2G0SwcjWjUjJUagvpAW7QX9xDyGCMIoKZxAtJwxVhnQFgz3nJKWGuNUKEL3nxKQyjxsLIWntYh84Nbo8e3skumTAaYcHdjXQErXC8919sGC448NovO3M1hOmMIH31YlHgJMpjjzoyPQ898QNMZH0OcD2Fg+rejoH333/072FmgKG6PibkNOZ2R/w2GvckjHzQwYcmdpZJt9x+Rzp62aFsqEyDQw0hvexAOgGXTDeLSqNGktFG8ntIyzdd+6t06Ve/CicPof/9efrbM85Ir3nF77IRCJND3b1p5QQWB+Pl9IUvX5j+7KXHp8fuhWWAR5kQh41AQI1jeIw36ifre21EoZPjnSMKJfAKtOq0Y6DRLOREVOalaTN0hrwXurQbVdJqqyGZ0hAHuzH5ouNboG4XelXbmdDp3TuNltmZn6EkiIm6A7tPfmX0yRMAiqucYtKSGXYtEmq8b6d3qIO+LrZoI313YZN/nGwJupCuky91rj4r0QmyyodefUdfBj/mkYHPcRhhG/oU3tFFMlMOmNIpT2KT645WJzz9aakf4UDnCa8l9Z12RvzjgTjjIgWbWT/8S4uAJ7yCT5QjXoe+UrAyrB6c16B6uwAAIABJREFUgBvHQxf1pMmTHYh527BhfYzYNm7cmA5csh9ecxvKnWHmuw5o3kGegvIN/a3qJCczhU+dOlcRE/ahysbTACDqkurx4c1p4dJ9GA3hl05nKeeCrWHLw3333jvde/cKSRIma2QVgEVlQUc4huDQS312AbJt8LruiU98UlrB4qCPfewf0ve+d35MxrUjWCh8uI2nm0TZPFUbSP8So0vbjO1M50U9u3xGxnkBjugMpJvRfhtv+ZD9NaIJrw/Xn10Osg2S5PJRwUqpMrYSokMMlflKXDKOvymQpXIDQILbZiMPAEQczkLbAFesWAGjVNI73vPnwXyTo5tTP3sBCFwxZIORlUTdQ0H9YpGWEtEWzoYiwFuhhQtkleOpMhh3zlfCO1wNCRoxUeYZWLAg7bf/vmnZEUdE7N/42r/F8NLJMPPWiTpDacwZfSU051g6MW8ZGdnAMPqQdPc997LHQQZs7SsLp/wiqGhDG6BhQyKrF2AFQIY5obScNjKZVOmtpDX3r0lf//LX0j1sJ3kdQ7+xvn3Ss1//5+libJdfdtQ+6aD+w2jUpA1zdyDR6GRe44176sS4zacgV0XFY12pFOggD510EFoYuNN+G3mPGXWC2qGWUFOAc0FfY2a0SGPL0o+2BSX8u4NaHbC1QdVofIJsbPZDGbxvM0+Es7615XUyU3CxXn1W52daOdcZ4My/IB7l4F4ljKZwSqmWK6CIcskNtl/VVU56Gs8E92N0WLpugFYB/47bbksbV65Iv778kvTyk1+IDhm1CfpRU1Hwj70DIgTF4Gro4urrTFVpmgEWLDXb0JE0TQsiqQIICwKH1IQOoYNPSpJdgOFGRgzyjXylHth2IOioRrKkSqMVylhxeG7nSHxmxMU8E4xiskqBhKGf36XhKIVT+Nhn76VM+I0x0qQjpUBjbMG516KBVB1cmH7yPfXP5JswTlh1sxRc3r2PEZqn47o37QL2njXOfo6+0brgHqwzlh15NIOervS9S35JGx2AxlpBZIsi1edj8FsvdWwe5XuKZS0FDeIlxHJyMQOuRCyoKEUfuW6Xg6xFD36HWM1OhlG35sy1a+plNn363qsg6H0zGW3YhVOZrsTgoEhVwz0rbks97Ob+4Q9/mAaODnFiOK3nyI0jj3ochtuYKtE4TMuhjBJlAIZp5cyZIvW4ZXqmFYzp1fzbGezMlXBKWDluTamQgK74Zfr1jTfClMRHGRcuXJi++a1vcl0QeesB3NRzOQS0katDHmeSbgHgvOyxR6XLr7o63brinrTvXgMwsCco6EgBNPBnhyJIQD1kSCQQ7l796lelNcufGRYY/Zwe8azlz06dSHg3ko87Pv2ZYNajDsM8514mUmioFSYuxmhobdh+GlcmE9SGfhmqpJMmdwCpEoj15DeY3qH8GHkgF9mgnaudqfaP1mVJnSlxhnf9AHdoD0N6sjB52CvwAKzEJ4A4093hD/HJq4bySn7xjrQEE43v24nYNuqMukA+gYSmyoHUYngrfdy3QV4rOvWMnYAr5dVwHlk3yiwAGG7cq2BH3C4MmMB+CXU/+aeEmGkswBxp3X33pNe/5vfwhjRN3SlxkwS/3BlJjZByY3RmfqadtA0zMQHSeCUM/w2b1RtMQtq5IQxIi3XrNqSzzjorffO/vplW3H1fesXr/pS84JufUiUZCPrSbxEd+aYCFVZVhfjsngUe5R2So8gGTca4ttfpItGlj7IVohYimhIK5CMjrDbjFITLLrkoRhyHHHJwTFp/8G/+Pr3n3aenhf0dacPmsfQDpNRPfurT6eQ/OI25FiaXqQdz0DOwIHaW24DN8P777seez33w9HXwDYsToHkn9bwQi4UqqN2PDTcoSjDkcuoa7o96ygtS6LnoDOwnwhF/TZWfSByu+JCfcu01Pj3Ml90CsrOVUabtVEcKIe2tZXIbZrQ+AmSQtR/jFb989W92NF1ZiJlVJoiI5xhW4Lz1LW9LYzCkCxlKmLx8jx25rMhf/PzS9LyTXoiEgUTCBInnG8Xyx4jK5tBw5Ck4PFLzXa44edz7nb0aygYkyAoIFYZJxx33tHTqb7+cdwASDcvtH+/HyuDsz3w6gMVGIdssYAf6IW2tALIeDrWrs+RRM7CzP/TX6dKffD995qyPpJe/7OTcKE0BgLCsdkyWTenOBrzm3nvSUhj7MU96Ulg3OHRXAq0ND4XOzJ2XJpBs1AH39XPQHsNKh6Xaf+ZGTsnJu3GFIx3vpX03HUEPPzeHdnbZoa15HwXw1G36i71/Sc8aBOpsGUEPN/0RDVTd1EwT06QqCyOqqClQNUYjjU19BFXyIpCqIhB8lZ7V/apmcvOTfKW7BWXclUqANe8hlkoX/oW0yjvBq6BVAbT5mnnOYIa1k8pA6+iHBk6cwZ/ct9kJkp8F6JPVtXcz8x/7ZNiBAFCCtc56j4CNJ4fqWzn8ZqP+SAAaQh/KlIFZ2ucm6mKbT3/67PRf//Ud7MBfmT71yU+yLP1Dsgc/uAmaaJNsGgovqpuUvjtRM0DAdD8bEX32i/+mqUjUPwJk8GYnUqan2E5U705XXHNjWojN7yoW8AyiElnavzBoZb2tv+/edB/vL//ZJem97/2L9IMffI/FCS+JNMexh16GeeLJp7wU08me1I/lQH1kY/C3etdYuIKw4Ao0F1YoBMmDChAVGpUmf6qerJtgLjtkymXNqZeQijU6KDuRgsdDACvwdSuiPrJe7HKQhS7ZyXi0ziypwjzcu3cAA0vASzCFsaQmLSSYHjaz4Qa7816AE5j0432GIgAVppTwApbh1MF5lI3O4UrY3DVmqG1o7YICwCfz5u9bMn40DBPAabZFLFb1g3JCtOcs1dVPUd5ovDYqGGpKV8iz+VYvKaMpHfYxa69E18vkTZ18xuw6HYPmM91LlqYDHrN/mMIYX86dKaleERp0UI2adZnnJqSWDnS5TrBJo1EAwobY08cwDgPKKgDnbwnryzsGkFx5V6oQFxJm7P1LGhJcnAmQUb0CXQWyHvLUg51X1cTC8Z5vI4wsqqSjjawrypSWpKt7Amsbq1QGFFG/LL8F0P2NsvSy5uwya/I7Sd9Zc9VI0k+1gCoIgaOLuvUkB0HOZwElQBjp0bRNR/xWag0DeNPjnauWotFGeaR5ro9sH2vjbfCd2bNOCOVMu2Wuq2+lkQto2oMqQblseLKrkgYGBjikkJGRvNrgG9UQChGho5Yv5Vv+zerkZdKxjm0buePNe7wqFf/4hz9IX/ziF9Ott92SXsUim3/5p3OCV8rQGBJE56PdcA16uTrMWlLvHcvGoZ+KgxLzFnsdcGj63L9+PtRn7iMwyeRddLaMy92f2YknR08Mm9L//LP3MEzADpf3HQzvLevKu2/Hlpml6mw430+Zf/vUV6ZX/t4fxOKTCugHpKevfu0bSMns7wy9OpmD6CA+qkScjP4uzgQjj6ozuqlH678Neu6Pntfl1TXq0w4tRj7EGOBMRZA1hVjoRPGIUGz11no2/uxyKy2orDLxkeKK1rFr8yNFppywmRuj+hslWZfxyWiCQzEciGd6aJ1LZ52wEGA1VbLxOZT2ZFraYzCLG2Cfc845mTl4p+T3wH33p8OWLWOIREOkUh0aTjgLzr26pACp2erChGgw+SKQmR5XGtrOXLNul/wHJ1BuyqiN4caNG2IyLOxhSWoztpg2MJ8FChuPKhBgDsBTR+twuY0licOsAhuhPGSPuJTYaw75pI3SjKMCaUhcvGUV0jjmR4AspmHdTDDYqLqJmyYMgzJZgc5XLlX66qPhqLqwkTvGdp15Gw3XdAR6iaGOkBe5jgRK0nGrSfWb1p0twbTtLKTtyPhYbJ4OLEtBGp/R4Js6jCW3xOnG7W4WNEonEwSnHEp27Uy+CIvuwC+o2pDtgLxXmvW9w2e31RNklbxNI6CUtMHMAL3gI9L3WnRyoVohboFWPb1+/Z41OEKx7zPoxqjA8kFzdynTKqWDsltPXUh9zvi7aESeVJr0eHfrS4uSNvjMNHTGJ21mc3awz33uc0OnKf3db+OGG25Iv0I19L//7xnpTW98A3a/bw2hIxap4MdRgv70T1aibqSR+YzOjIR60MVaZv0Msn/x7bffjo0vm8BQT509nKnHfQzF8UsTC9rWWEG3aZP8SDmg92bA/8jHLkvv/bN3pLvvXZm+8JWvZ5Ub5XLRQReqJUchbgoUy3B7OpnkJV3AWjBXLx+qDtJwQkzgNr/tLCdshx52UjdfyzLbl/42G8nslw7Ya6+0N6C7kF8/qoa9mXw7cP/9uS5hlVsndU5EhPfQ0U7yJ5/L8zPd7JSe6Wv3PO9ykIW3rPdZnZUvE+YZ68z0Dk1lUBums9A6XgUTgCU4e01wgG+CoLPZNmrPIXr3u96DpMZQEz1oOxMsX/3Kl5kcGGIvg0WhY3JzFnWkoSqwpsNtXUGND3ExDVKnXgX5nb+qE5SpbZyW1yW06kg7MW8ag8nttce5/uX/+osojxubxBCUCTsUybEsUX2yw+A6YCkCdzMkU7+r2YydgbPFMZYiszW6fbsxSzVII3Q23L0SugDZNlBEu081oRM0ik4YfJgoqqyuGegdYIcnbBiRHBVbu5BkxtFlg3b4Ry8owDYqUrCQLtpluulMhfCmaDY0UxMk1QE6NJykc1IPaB5DwrNx2kpw1vMIHZe2tB4vpF7RjgUxLBqwNsAIN9BPna1qAUcGgCs9q40NrIWmdC4Ok2EO49fSIia0IEAs1pA+MCFZ4T1pm0kKEhNbUwDrs7WsH8B9yp+1DnQbL/XXpkRu2Uk8Nj/na1UaMFLwOJ/gWbJfAGqNTkZVGNFt0+lXsDReeUNQvOiii4IHrMfDjzgqPf2E56QRzuBylaR0VjUxobRInRrOzobSRrrSQQkxpEtoNcby4m74aGzTmvSWP/xdCkgpCeNoJoho5vzZA8JTlR5GJvTiC+l/tdDZa8miMIW8/babEVDowqQl3p2Y6mAV4jAqrc7OXkCPlWjwuZ2PHd8YphlOaHbLH9RJB3lRT9yGMl3+cBSrfD/Ot859DkjPOOmUkJTXc9bfPbetTet/dQ9xjKQaKwKHWZk4grXDKDToR6VVx2LoV1ddEfUlJ+UaJUPhMm/l2vRF8Zy/Phx/dznIbqtQsoX7Eih/2YCtPH/UE1ffQp7GewllU6ducf6levgm6KoH1GmK4uYcDo0EIIFBBlyyaFHolzwBQFMYJYCIj2+mV7hcUcVT01U0wUXa3O/UlXACawwbYT6HnzYIF1E4A+viC7oKGg9nKhk3hZ5EwuztzkNih3QyqfSRId0D1pxIn49/8lPpanYX+8Bf/zU0yMBiu5lENaHkXmd2Zhy7Wq03PEJE6V07xW4IPIYhe4WGIEo5AQKKxDJkF0PQPKEdagUmQBiQRnt02D2BRBMTXNCtA+lE2ip528G5BFLAFCBsgIKv3wU1gdZdxdpIIzpJRwSkkus7+7HSJwDbOkgnyNlQc2MlfYqsrlXJVgnRuMtE5Moyt8GUXwQVQcOwES+ZIDeRH+sup+W3TLuw18WveCv7yFlyEVgaAJv98+x7/UQ46oG86H+EEcI4vaerl7THdZ/esAiwdsK/cVmf5AN+k8u356ybBzg/68gjjwzela7f//73kWw5U4uAnhareZW8Y5swzg7SVqqNBQNIrNIuSkEAeU6aaPrUx2jFtjMAT72MU5G1XtGsMToNQmhK5ZL0GvR9wjHHgtXj6bwLfpD6UAOhDUlr122OdNev35jWrFsfxehAAFB9Yt1qbeFeGsHX5M9JSQTMmOByCbRgry5dQva6eMVjxOn4e7A+CBWZdrfQtH/xPmnxvodQTuqIEVobumJPde4E6AVpd+x3BFTn+VoW8NjBFm5r6pJe1Gjh4+G9NmV112REpgseK0CNqyRQJ9uFmKJCuwSQVGEc+B7GhPlpJHlWX/IJx7pC/iE0YdhrmIqmV6dClHZ+ddVV6W/O+CDeGQYxGdHDS099PeCAg5gc0Vg87wml+YdnbTnMFrjQOEy5IqvxIjIevBGPMpGNT8aQib36bruO7NM+Q9JSwjTMzy+5ON184w00Zpo2CUaDRkqahHm64Oro7QGM3k4kKCQ8m6hOE5kKhudx3AjD9zJG/j+65GfpfdBB3ZcAt2rVqnTcU57GZAe9PXRTT7h+/QOhO+2jYUhzN3lRAppkSSsDPBYkOBFRRQ+sZNKWXvvHf5JK61bFyq8adKzD3AJn6JYp/83svWBdEVluzAIi4G9n56Y2tIw0xtSy9B6Fzk5E1tDL0oajrIjLAcA2OjsdzZHUx41zlRZK0cA2oxEnRAFUACg6CIDdCS47JiUl1RS5AZsmQI62QRoEwQMtaZASH8dbfgJmA1i5mpQSa57c4tl/jTwW+ll1h4JsEY/5U5tMygC9+emIE1/H2BdYdZbcAIlDipc+OjubmS7K2fRSgBVYzb8mWYLnF77whXTHHXelJz/lKQG8alfV0eaJNeoRYHcY3oUUX6GO+Iq+GspBc/dI7laFQT5d8OHCD0+lXXbwgaRqOVFlwHx2ZI7qVt69Ajq3pcMOZtMWJpI7KxfHakztWF2dteL229Nnv/T1tGnj5nTYUUdHmdTftiHZItOj0qKc8JKdqCodzf7CtJI6cvm81aIapYeJQluhYbUo6QjTMuuZPTsWL6EtGpHqBSRcaFAp95LXnpjodN7ACdEKEvyCxdoFU6f8gUW2cLlVW0xRBjfje365e//ucpAtijOTsZRmwqCcoUk2DRJYlYBkgiwJ0ZKbiNWQZKPhCLKArjaODodBpmc+/fj0/v/9AWhLBQKC45idfOOrX2MehdbH96gkhjVOxrgxeBcrlQTjwgkkMomV11wvERcVXjQWG7xlkUF9N7NcRXzFdQywcerDbUC6YK5TTjklveF1r40hp9xnee/DuuAv3vsuJAAaKkV2Jl19mhuTaAkRmzAjWWxgUoEEY+i/dEFvuueO2xoAAvjDhOapb6A/PYuVUxWGiEo8557/HTiciZqgrZ0aQAOD2yhN35E2UdteQyo9/pnPTl3D61Iv8VWQJASLYHgklgsvvBAwE0wzDQSGbkzOsulSbgTuxD9EBydtBE+gMwDIhRV5xZwSnmBIo+RiHgVor9a3HY9gKm/Y6GJSi/pUraIUm9UGjADIuDbBlsE6UIrXMoNLo05sZEizps93cddr8Ry2u7zMAJp5zvzhJfs3jP6JM8LLk/yLe/NJ+VQD2elpxjbM5BAfpSr5wh9XgSWrv3yadgUvFW8e85jHkE4t7bffflk6pR5f/vKXpx//+KJQedg5C7KxdJrjmASSmGQDTOUXgcZFGNJIJx97r7olty1AlXdu6WmnCdXJK/9JMxNGCxj8SiQIaf5ilEXE7qOrTl9hqHdgEWBcQVfKPgpYH7jZkHUYu7TRFq2fbNbnLs+MNqwzeAUv4WxL0kaJtNP64+dWn6QMqMOvpOvKQDt0J1TdQFxpWV23QorhyggkLmbQ4T3KId8EA8TbR96fXQ+yud6DGFZewW4CgkPNEruku9O6K6t08olDL78XEkT+QOVHYCNUOiIcd/bIzvauuvfu9KMf/oAd5AEBKtPTEu68/Y503DP2Dz2tM/rOoJpmHT/DTCDZmGOiJBIoWCHn0MGXrpBYzY/3Ngbvoyww7Y6cQ/UqurlJen3DutH0+eefDyNlyZio0vq1eW9Zl6Lqx402XEShyZdDdB2+A3htPB5wp/rjnnvuSZ/97OeDyd2EZoj1/oZ3AstTaMtICMajVKl0I10EGXVuNtUqijWHjZbLsM7yL8Qe19WqXejD3H7bJZC2ZPXmRJG+9MUvIP2V02233JxOevFvRZ6UuOvE6WkV7ooWDYt8CM7sxx4g6/AyN+KGJCtQAWDusqXN8BgSrLakglgZgFWNYZqqCqSR9DL/Su1uqScI21Fru2qZwXOfQrqxIxGyMyDyVnDZ6pe/Sw+/Beg27uOZOHXG7bOdQgbh6biCz+BdF7386rprMbH6dORRA/sRTNH8/pnPfCadffbZEddsf+xc9Cf95U1VXfKXdevOYgOstLJ+SqiO8qQv5bWtAKDmze0xVQmZf+ku3tj3GGes1BM4ATYtN7SWiY2ObEiOFhs0KfIlLawD96stted6MO2DDz44nf2ps4kGNRL84ikU1B71JDzKm5mW1pGTkna+AqJtxHtHp4Kgk2CCtKOdLkY7YZNtnqqjaRFDKY8hj7P7iK9EhUb+lGxJoOSRCcTZzj4ZvTBokW7cEL3OzmcLR9xBkC1e7v6HXQ+yW5XJppGdjCCzOCRUkR7vYYAwRRJcMp9HLxyHAGYPeMzqAj1UMQ5fDDDcdvNN6exP/2PqsrelstuY3RxBJ3n88mdhgsIkEQylSZLWBbKGfmSqZldIs83vvM+AT89MfgUsw9o45gK0Ao0bigjyhr3uumvS/atXRsMxXhlumJlfJTQli70YNtkGojMwr4QN5ievAxxNIyh22MuTF9UDf/X+90UcShGCrzq2hazMGYuNsOm84E0bRd2hvDEB0pY6gIkGZDwYTwGmbtyBdE96Tnr1MLlUQSp1iOaQz71tnXg544wz0ubBYWx4a+md72WCkboDWmlIUhVQpG6MU3rbQKuCAaAcR4zQeViaGK3Ycmg0BYgFkJC24QwvjQVZZ7hVCzRLsd5bCv0aPv+IzmfAJr9vfGvUceGXUHwnF4TzGsAp4DTi09/0z9xCK/w5Y29+rSPvDWsepdkwkzPuSbHynlURrx2KA/iggz3TDpx8IbjaycoTApOWMuOMwl7w4hcF3xSSrBQMwBcIqUjT8OdJBcFPpGVHHNsiAnhumOMz1OBLzgs5585ag8ZEEq2AetJZdif1Ik7K14udrUBegX+t64W9S+iM6zEKdGNw/VvzscqM+hN8Na+LHbigl5JqYKx8xeisAx0xVYqkqpWBE2OoNOCLhQXIklfLpxQ8lR9yKB/bKbsgZQABI/IcPvKfrQA2AvNHNH6Y3W4EWYmWSQOtAqBkUht9rFJqEDWAACILYLJ+vhISHaL0CjMqqpLOOQjYy/B4eGQwvRhm/MjH/l824OeTG8x86YtfZoaSfQMAJxtxG1KQLmxkiS0atuMtnDnL9cHf6YdgXP3ZKAU+GU2A9blg6ohgG38sm43TjZwt76te9Sr2Kngz5WpIsiR2+223hHWB8WtW44YceWd7OgWkS9OxvMwJILm51LUSm+Lo/0UvfAnmWU6ujbEaaB3S+13RSDX4DtpBR4//qDCR4PA1QEiIolFaDhuJjdzOwF7f3cEWIAGzjxn6PXSyJOz2iOoKXXX23Oc8ixxz+N7lVwXYuCNUlfrSfMrhqFfzpQs6MZ7U7M3mrWBhcydLrALCP4ygTtC8mEZ0WoBSXnAAa9KIVRe4+CBMtegopOFU3NQBFRFlIOkZ1wIswzvpCzM5rQJEp1UBVrmgLH3yLwOwjJDjJXKrkQcy33gnLxQ8sT9mRic881lRhgAveifpKuhsz5kX47jgggvCm6AtwGmSeMMNv05/97GPRjxuCzllvki95QaQJXxBVLB02E4BIp7ov31nh2TbAunMepQdH7F/BJKpE2bWik4hQ8AU5JQypbW8p4rI0dEYqraYVIbmC1UZ0DHYaqy3imEIKoA6QjRJ34eeGMqbH0cgocuFp7wXiHuYjO1jrmEJ25W6qb4qA/PjXIvg7HJhdchMbERd83ZKkjXPW7pcjngns2VSbOnlYXjaLSBbNADpJ596tfKshAAQ7v3nc+4BZRg8CbZBFEI1iF4whDPoxlbFdlRdp3vJXnzxxdSwM/MAGKBzx523p8OOfHyYb7mb0xhgqQlXDbHZBiUz54mPbVNeMJXZCnA1j4KuYWVYn7fn9KseynIqeqxevTpdeeWVYgPZZxIK4Lh/9X1srsHOV4BKXz9HdxBnP7Ougy5txExGFzaLzAprFuOQWaZX4jmIQyM1o3ILPCWhe+66l28DpJcXMUQZBVNAfhyuU1Xg5Il0dDLNxureozZAgfYAdjTrmxwEZBnalWB6N6kh78ajWuagA/ZnKN+Rrr7uxsintHHnr2hYFEpVh/6lm41TiW6SNGIik/IqHRMwdMQOKQUiwTg6E2rbcKHrJL2SIEtc6vniR+O1EUufov1YB4bhfwNATLtxH9+yT82wsl+B1h9x8I4s4Xj271Rc+lWKNW7bth2I6pKGFI4/8yA4Shd5Qzq43ablUV3gxKJO3NueMx5/xhNABnAZr3mRd9TRWC9KsurPFTW087XepJu0CjDklVddxMd7ddqqw9zwJdqSdKMc+KBQ3Au8Vrz3XC2jfGEbdETk6QhKj9anaeU9oPOkpnnqIp+wU6QHWgcdzI/27yUyK13U6ZJVcx3+XBxUlNkyunxX+2Pppk04hWjQnGfbKBNyOXQjHWuFcDovFCmcl61I3fiWfTx8f3cLyFo8CVuQoSi7xGr+ZTI03sUDLCJDBTT7QmTKTqlO0Uj7T4dVgqxDtiElMuLV9Onee+9lA+8nh85PXtKG0w1b7Bj7mYG3YuW3mU6/Mlt2ubHYg8v8AQICAOUpwKThcdZLgDMAF2nhYxV5uvSnl0yFn+BomMFNm6NBKcGFgTiNX+YaaGc5rZm1kZMdmdc8NKcryFogdZQadl9z9bVx1axG9UIs+KCckgX5O8yp8iBYCQUItCHDBU4IjuOvf1F/WkjZe9rQydJQ0FgwVGP/BPJp2urntIdchGmc8dj4tDm1O9SUzNlsaVRIVPk7HZJWBbQCP0naSRp+gFy84D3FrCPdAmuAvkNxpBmkHdUVMWNNfQqw+Iz/3umyvauh5C6HugAn6cSVG2OUxyJLeFItEs/mHr/WbjwTJvNiBpyi8y2kXdPSZT+5OVu3nivXz2kJSqAHHnhgfFcKCzM5+KSgQw699V/jk0bq2I1DvpLOvpOOXjWfcxWVO5lJafWvBchqwiVvKJkq0eqMUx4RsHigo+JRzz/cAAAgAElEQVS7YSZjYB88rx9BjFARJuvM6VDJu/cVLHKA/gBWJVSH+TluBQOkXJ5djhsIGh/kE9PxR9ykZ1kM6+jGCnYJdRXdalEuaWtHqu54iJ3qhmC2EiMu/gQ/qabYjPBhOw/8wL/8IDCHM7HcWPNj1HamgZ2K4R4JbreArPgK3aect1ayxHYIC6khPq0Z57DH9zKJK73iHX+cFZWmsBik5G9DUqgyQaNkdviyI9I7Tz89jKM1dNa64Kv/9o1I58QTTwJEaORIYMHASLKCnnkgwUhje3/cA1MQX7ZsWXhT6lA/6RB6R85GEswGI5mep5y+9c2nTQUTHO9YcXu6+qorOcoE6wGc8Rsu84/UoX3wbN41P5tg+O/JDjZKpacx7mVkJVtpJwC6ubXfbWuWdYKJDFnOrfxcb6Xu1Dils1YddiJKQm5TuLSPlUxpkPZDWvRmsZoHCdv0DzvssNB1q1/TCdLudVpzYoJGp0mPedAZXzRiW58ZoaG5KbvlcicogUM/Sj8BCjQKvWn/6mhE6Vj7WIecISmTT+2hlSil5fRPYOSdEhnUyvckpz/Syv6Kq+H0xz/9Gw42mI4r35v/AHD86VSbiMj6M15CRd6lySDv5AU7oEgTf2UmdqLuc/AMEhFT/mM8zU6/Aq2TaH6LuqA+vZfG7pcQnWOombhrSLJFPAFCRmje+GWXh90CXUisjbeho7X9SG/iK3SmfjYe/Ua9QR9tvE1DCTTeA+SeJmuepEFMwhmQjt4yBD/Y1og3LF70xTfzJB/G2Ib4JrQ8gR88Zt1Vf4MsfKljTVBiJZh+6nwveEJMsMZs/662G8XcTweMx5VCc/UH8+Ck7ByadfjdHX92PchadmiRmSAzlqRRF+fG1WjUQ9LMFWajxy/erKxMNIcxkJCXktDq12knG1f8OaxeuXJ1+ta3vh1r9WPDaCShW267NR287JioYM+nMvVgWBsMDBQMReUYVcGWxmn6Ns64p7bcFNxf4WQmh05ed+Ss7Nj0gxuZRuuC7373u1F+JSF1rGvuR10AyLkMVTp43IhnntmqY1cmntVNCVKm6c9VQgL9ueeeG5KeIOveonYwmlWpVghbTtJQKnbjazt3Z/s9V8rp+DzUZPkunY77gbqiR9VLPyBbB8j7kYSHhtlWD5WFkqyNzdMclN7csMR8KFXUWQBiWHWC5t9znOwoAkCVjCi3s9pKxOWGDjBM8KC8/ow3/JM/V7F1ag9MfYU+lsrXpC0DhVKqtYg/rqaPjMOPf1YpaUdzw4v31mE21eJZqTXAMQNsSLQR1vgEFoFE/xGSTt9UZIKcnsNjusngH/dfEDTMs3xgPdoJazUi6E5wkoKjA787otiek0bWvfHbScqf5uXyyy9nJLYqvkUHiJoFMkQJY8UinZR50BJHtQxGq5F3G5Dh5e0YtXHvZubKsJbG4kA5wubl5TV1nhrayRx+hteUcJ0s7WbprSDrz42MpL2yr3QXRB0ZyquWQSsRGcxvQSt5DKeZZGHZMsQClzjWh4nQzbZ98qilLRv1pgc2Iii0Ewd9tyPTNq0KcPbPteic8Q64ewDoRvieLBocFxXlDc77XI543OI+v3k4/u56kJ0qVTMxqA8IJJO4QqkeQ0cqkF5Kukg7GQV04q5BNHpewS8ISWVi+RWNWmlE4/q16zamX1x+Rdb1UelO2tz865vTEUc/CSbQZCnHGfHm2mnEl/NizIL5b9rZ0OIwQLjC8t51113pl6zUCsaMjgTg4yhlZwo6sQ7YyNHWHouj82RZXazNp/FUMXWJYT0So+BmA1fynKBBtNOQLJs/JVm3s9NpiWDjFeAdmrnaSQr7z7xNcCSIR7F3sgbfsAsAVhbjpN4FewWwdtHQkClT/4KsdxRE1POp8x0aHkUi4clhPmGlsrYGxShBejrkU8dXw1rBpJWQlIjUL5ao95iYoS6VXMliAImAKqB4DWmGHAegCCr8TCtfM2DauKcl0qZ6Jpx+ix+PTfeNMEFq/QTX6SX8SKMinA067im3TkD3WedowXrw56kWI2zpJy1lJo/Edon39pygVKgJvApQTmC+//3vTx5r/oQnou4S1KCrOvSwdKCzcl9V3xc/m0qAL7xt3hzKh/6dzA8DqIKktBR4XahgecfQ8Uc5aC6qaFzgoJmVAG28Ar4aCH+ezuCchh233+1YPAm5GFGath2UJ+m6VLZCAzVuATqEGe5Hsft2qbgy+Rjx23Y3Qi+XJG9AZeb0w9gg5mGMYGqsfDS/xhGSMHbb/WxWs5kRqp1ODCyIw/mOqJYGX2+P1g/Xt10PsvLuLE6m8DRL15drP5l7ydyAbJwS195SfwGsUxMJKuYzaFqpTpC5P8FjH3dMete7/wK9DtIgDXFJX0/6/Oc/T4XZU0ariDhd9WSvTvXFvymkncrjNjI89X3nbmQIG4g7JAlqzzzhhPSmP/7jYOAYhsNId991R3rPu94RmzB7GqgSn8beyHeR581YHLikdBQwDkkJht/E4YGHHnpo+tCHPkTrysPszWzsceqpL48JsIEFnG4AgArGNgjPC4NwtCbpjWTYkLQ860zjbmf3zavLN/fe6wBUEGtY+riQcH0ssXXKjLXygPXfffSj+BtPD/zpu0IqGUUirmkgT32Vkbbc7SoaJ2mFNAoYa95VOPcJjSql4WobrRrADieu1LFA68oxtzDMpltKsTT6aGwZDLmls7AGC8lTCvPjg3KoPyXYQp9q3uI7fjIYG0/msdyIG9/hJ/s3AUge0nk/FYZ45T3/6dzGz/rw3ZPYSvKDH/wgrAZhG/lQgt8RN9khyRc//OEPgw6qC1Q9vPa1r00//elP08pV90FPwMlyMepx3wIB0IlC68NrgBvyiav5lC75Ex21gKed9OYN6wgncDF5Roc6xH4G5ttNgLoArhoNbox208u+AErhZWb8tUhxz4shQM3huvnsZmJ1cDP7YRCupxsJHNCFlViSyw+Q1bRrjG8eRVQlDFgbPCWtpP8wPM2CMthVKZvOWA/kVefIbJxwqg5cqdhJOZVoSSH4SGuElevXpD5ork2xdS/fNAAi4nik/tn1INtUcgkjtEHZaAgS1UP2BFmlI4cF0txOSeYPJ5OrwObnewFYxxl/ACXGyby3Pay4/c70sTPPTCV6YrfDG9qwlkmm1em5J70oGozBNIouGshU/BHb9B9S0yc/GxmJPEQnI7h9mw3epaO/uP4XYbc7DjMXUppA6A5GMtfGzWwEwhBrw6DSLRIL5ZeR1E2OAG4CSfgnn4InPEdvroQygfpgOCTld7/73UEv41efbLfikN/GyJgrpJb/v73zANC7KPP/bHbTGyH0ACEhCRCCgHSCFKUFEFD/h4qinjkB9RDUw7OgpyieXYrH0c6CIohIUymngKCEE5QOUkINCaSXTd3d7P4/n2fe2X03yQJCNpLkneTdX5vf/GaeeZ7vPPPMMzP2zNQiTX8xu4b2xR9SsLjogvPTZUvZ2gStQjPD4iUIttoL9FgwfyHrIQDaLO7srJz5LH03yOmwNABqG/o76q5lvboYj+DRRvm1+0nSXH+cQ1fdiowvoKqx6mXBHRoTtF+AwmvB2WeGAEqyn0HR73lOLXkP2kYjzY3sRSBIwlFet4OlcXMjnm23GWjzPUtXtGTfzfEKWOsbGxok5bR5Nu/SyvJZvwKWR++pbQpoeQozoFbVwOSSdP5rHQqa1pUAa1CjNdjVNi8+d8ZTTKWtp0+m5k4e5AMbNGfWBdBGC5F5VlBUtgQvMpOVGepEIHZ7eY896QEuJt5SzEVDhgyOGYZt2OEE6t6A7zzBmXLNmTMrXYAPuo3/FlsOZx3Zg9MCgM4tcZoYMNVSoFdJ1mLRnOHFnjZY/NzgkiIECGtGclVMwTjOqR819z50nRbMYZ0G+ETFay6r0jXh523557DNjmMGM2a+xO4MbGJJvuezSPolZ385aBQyKj7IYG/QsGZAVmmoooEkkR/cbsKKUQZlkjAXUMFFk5VmrXW24gQGYbwfo6CARotyyzuuRmR/ZshGG6W99tqLAVQgBcawkv9v0qR2gVGrQApgUIWTj5uW1ybNT8COCvNGe7D9JeLrCE6A0A5FSULzGDZsWNp1110DVF1T1rxOx755731/gQbQBI7tifbhNMlGulI99R3kXnM9ti7ACwmOOM9Ofjjts8fuAVwCrOlsvdWW6fY//CHK1VONBaY8+G2Hxii9KyVlF6SlCAtmBOjkoukSX63PfDYC8O9///Hp8N2xY7e5xxeA40SC0M4YoGAwzSmWTeRHxve9pXxbFy3rIjwL8CJYim1Z2ponWgL0cWkv3alrtzPn3OmetBuhpagpZU1WMwTgBbj7rmQrgAep4lzgEyQV4BBergXYzD85T+Wd/FxAzmDrUb6z8nN8ayU3+9nrIMeN+NY8+TOtOIlr8ke5pJXlEyAFRPMa8Ug5ysyLck0DdZXf9ZurDoKkP9/z53iCx9tuuy2OAnljYyNlbmF9YTRX4tpAu2uBPKJpSTmyHGq18jaYy33riCPvuYWMGuZLLDQjyJk389u/74AAu4Ua6hctiy262xjodDfnBTTY9obmzZ4O/3E9b356acbM9Nf7HkyHHXk0E1LwigkbK3Vv60kOND/HYJZyHb0aGwoVA2iJjC5DM9X2a13qcxsDnry7aNrUdOkPL0pzmFxDSyIRTS71YxzEBmsQu4a4yt5Wbx4XuyhsxG7NfrEjZPnKozbBarmQAb4++8eG7gXZzpToVNJgeFpQNVhYHqbPWoiAZ5353MpT9/SGbiHUYWg/UtAuh/frYSyZUk3AVYyaObpdxoYD+uPOdH/7s6g1hN10+U+qCHkABdd+lKA+I9DCEnxCxojbr+tPET4FyZZ5ww03YkucsWHLLAkrqA50NcK0NhiL0FDmoSW6jusidpsVdHrDnD5fhgCo2Xzzm99MRxx2MOeAt2BpoGCbbrJ52GHV/tUSNttss7AXNqCFOBah1ol1N9UjnLmrm0F0LjZttZ7Ro7bFFYmFQjAB2HsQZNWc7Lqbnhq57wmudhu1yTbbzYdkaqZqympR1kdoeqimDi3ymADDk5512kONmmuB3Dzpvhb3iKKGra2tXTslWTkhd905t278tWuw+Vpa+04cAxszT/nlAE6e53czDxjP685Hn/m1DESec4OrzAyCqz/vWD5tsXbvBVzjxrNKPihQ8DJRuwym4U9TjTP45GXp64yvxx9/PH2aPesiP6Qdmi38oRbaWtFizbv0lm/sfZtP+dZGA/IE3aynOeyMcNsfJ0F+3qfOtBs7I9KWzKnfU1+aS5y7oh4bsbW/NGt2NESWYeDAAdGzGDF8m/Tg3x4PU5X22F6YkmLXCL8KTdRQnQ23lPTtKXEafB2DXdS1Hj7Ubsi8pgCcpgPABzJ1+HP/dmooCZtttgnb1GzGDLBB2I4xc+E5Jq392UDa07E6hE7v8dkIBWDzVeWvEQyrQY5zQq/tb/eC7CryFEwrk0KpaMVhDrVTbTjxjCpQW4hzgdTAM0HSgwTW00BB9YaCamv5EMu1nXTSSWkpETZgsd95M1+kQnqkkz/+iWCAqJFIzIoRaEwzp1u5vdIhPvs6K8hvqUUrPArijTfeyNYdvycT3svguARb6yB2dpWhF7ItjKqmWq0j9s7lVgtYgDYzaDC7GSCAgqxNjvRzWxtJEd1UvtEHoecqNIW+DKQN3mBglNf0HLGJZf4AMYXTEEfSj10MWM9B1zCSyfF4J2/MaF6Yaca3rQftty7zpxCrSaG3BB/Hik9823sBFnT5WxHqbD9VOgRcNNmou6zJCsYUEY2dmiR/XIbgSLcgQuTSercAmS8E+mwWyPctic+zGcBz4wmghacqz+O6nK989FMClF8SwOPa7/KTJ81S1Gec4/0AAph/v2Nd5Dzm93I8n2U6R2Kr+BPdeupTAD3++OOjoRN0nZhgo+caBg6AbbH5pjSeNG6YjHR7VBs0ZTVyNVhNK3KFQe62el1cxbAIW+7QTbdMp3/2P+jCMNipeYGfPuYxJqJpRbc+eKmBd8466yx6K9QUtnpnU6rRvusdx6bnp01PDzALTT5VKWjrQS9TnpI+0CFm7TF5JTRq0jFte1nRVaXH5FTvuthFgzhox3XMZGiG33o3tKaJ738vE3Acg0Dx4pkbf7bZI3IAjXddqwRdI0qoxgwbQQMHvmAegg25If/1LJfds3906F6QhSmlipXgqb/qIIPEEocKPRH96T4ig2aGlWSFWDmNeJ/0FNwgLYnaPd0Gp/yj2DtrKQyoU34jNllXlo8Ov/GRHsFcYOYs/Ay5DaNQiSbqOYec5ZxTBa4614KuIJWf+oyQI5VDvlf1V3uezCtgahp5E1sk7733vvAd3SbzRFm1m/7m+qvDbuW1gufoaxNMaBffo9uvTJkyBe0bBmUAoWiK0bITx2vnj+v64oBXXkgZe5lp4X7Vk6URpalbibikoYKwBA8Mdz8YgE1sLprLbBaqERyDFlEu68XBRYBQbVlNlZDj2LjhXYC0N1XuI7mQizqt1KHx8nbivNqWGxRpr9YhDaV8DA5R5phGqf0AWkkDg/ntAMzcMFDUaBgEWYkecSpxravMN/F6+3lOx9rNacZJtKCchfrHNylD+Hz6TQngX79BmuZHWQ4ne87jGno7qOpCNjrq5wE8vg+9XU5TjwoX17FeMt/4fmS50zEmXNj43nxTmJOyVp27/uPfsh/TrT+TLr/88nTvX+9Je+yxR8zm093OYGOrdiev6Pcc7UJ8g29TjiaA1DqwAe6NtjpixAjstNQftlluAYB4GtAo6x6ICIaOqZuU/rrW4VIHwXCvkqdenP4SmvY06ov7KAL9seu20OW3DqOhFhTxCHAhF9lAEtoLct1d6eVQ9XL4TbG1PgT6kHniyaOupOciR8q0boQYYPMMMPLlojXmL3MMfwNXBfYMsD5ZKRiftN8IoXtB1nJKJAAlBBRia5/LopptNK0wpFpDDG4RPzQuGdzaIBRZiGUQq4iWTzH+s2J6HzayG7Lh4LT37rvG9tSaErRtzZitOxSJ0HrGal3xUvZMcFRdALPi7OpGoDJzFO/zGgKvdmQcK59LWlSOJT531SBkIu2Uanp2qb1ugFEENEHHkVe3f1m6pIWu+DZpjz33jW5bqwJA2WfPmpmuu+66sL0prGFaoLlezCZHApLaxfI2/GjZArqJrZmnY8Nyf/o6hFindJkQWRYOIp9+W02nHuduc754SSPrNjBIgU2VHcERkpa0GEDWEyP10I1nUZrOojX6RpIgb3AbU4VA7LTWAC5AqFIlUR7jZO2XDRDrWQoPEc32coSbwZPihua7LtptSQxxBngF6al7iapm1sxoc0zjZN0ElCgE2MYMh7AQPBobBBqJJwVSEhApewBwLjLnle4x31PoTT8Dll/M9SgghYGqAs6hERPRdPiT6Rnp+I2c354AknZE6xRmwGwCPahrtTwbaN3ufLa8stRhrDjlVwS+Sk/FlPh01IXnJhUKBTlrEYT41qYsc2g64X/K0e8L/Kf868fSxz92cnrwoUfS97///VjMe6eddsIDZMvwd16CpohVmLqiMZVGrN3bDJIuDodoG9wlaQAANvX5p9Op//qRoInfkTbyrtpmP8YAXFtDGrvG8yOPPRHPW2kYm5oa4M+F6aHHHknTXppK+gxq0TD/6Xc3pzvxfli4YGYagKY7YrvtYvfeHoB501IbLEpajya81MkqNDzunLAMkxSeDfLqQnZAUF6akU1XcbO+NHvpnWK9OHU7MxzECsbLfMlV0I+/nHWE/LT6buVO52gdL6zBs24HWcuSGatzadVibeXsbCqAglcJAqzCIFt6ZgBG4ijjGVy7QAB208F5C+azuvv96fOf/Szz8+ky98eJHnuThvYdx45NBx54YICFmkXIE1mJ3FCzRafKYM63OJEJBX2z5DqalsCBHZ+5SIchx7cd9x8MImijUceuqnbJYNhe+h4iBO4kMO2FKenuu/8PsO2T/nz33XR3AEKFH46bj19kf5iqF0xmF1HtYwFuaa0ADiyXBrFv0mJWpX/ogQfTQfsfkP71pIlpz913Q+C1b5IfG4MKnQQLS0cRIl8xmwvNdiHO8v3QgFoAam3RS1ECXLaumTQaGSBbho1vgINsAKsAbYiBG47SwzRzihxQK2yABBKBtnU5whg1xD0EaokoSRfPlbuWAeZtTNEERsmazYD1Z1qYSwBSR5l1SyIS2/E4ky0Pmil0TifVLq+rlEHg8ecItABmfWYneUCZevGdoh0VL4MMlvmrvMZz8h7p5LhZUzZdgMdf8BnX2IzjGWX06JYpat3yizb0TTffIk2bPjsa+AEDB1doZB75AmW3DjOQUlbLYAE4zfxmk5SvXVHMKnNxHSNkP2bPK3xY4bedd9k1XXjRJenpyY+m73zzW+xae32as5DReqI6GKZ7l42zwfpyWU/rpyc0aoGRN91kaDpwv33CZEVk6sleD5omRLmP6eh90V532nEPaI49lskxejpoEmimwZw9j0kv//u/JMxU7YFD0o8vuQTQbEs/+N630lZbDcV+Oz394prr2I/sG+nd7zvR5HkPk5XvUyk27hsMQjtuWsQkBBoWTB66FOoHHtv2UAhZLvNs5umgowSrAtgoXBd/5KiVwipvrhSr22+sEZCtLoXsI0GthGAOCOk1fFwJXhVo7QJkEUjncfvKYhjL0e/Bg4ekDfEwOGHiR+ga9w3h1Y/wJ/9zSfrlz3+S/und/xSrOekbqLA0YAdCfNqFw8QUvgDT4Hf/yOqlS0K+4la+T+3H87IQi/ZWJcn0WxdlDVCm6YlXwEy6Wf+JnWuvvd+c3n3ccdG1VIN9BrezK6++Jg3fbjQLuzwdW9IIGnb369EoF9EdbyGvzdhK+3HfgZB/OuqQdPSRh8bXeQTtsv5qrtROFGK/ayNgr4Bx6PSjy69Kvfqx1gD+lgPRWnvghN4KsN07+Zk0B62j15aj2fL5pTR7yrOAAy/DFU0VX8o8C4zuqYkGAfLocDSSaHTa4ZYz22iZ9lTiNPMNwbUJWs6nwWjuwdReAMp3FXqbpdDWAA9XlnLAR59ff1oVw42PdPTpDM8MgCDPIAPIAXTrTMETMHOXU007A6QcYb5s9uSiOINXPEoLadUSNsR8bho5PXJHGjbuXuf3yTPgZM9CILSH4pz9ZjS+PmjgRx19bPrOWf+RHvzL/6WljXPSwQeMJz5ATIOgn2hs72MmKvZqzzqCQCw9eaVy029Ko9woVG5y0CThjC7z74STMdvtkC750Y+jV3TUO9+TG0XBFZBV0zaNelsb8mn57FEvYcqqPYLBDGBZvfYE7CXYUNHOxZRdmoW0EUtkpta8U7LTl50W63oWjYDh4LYNcBFclIZu2Ds99NAD6S93TQrvEESMhqYn++udlp5+blpaAv+7VrONsGVchntgvz79WTmrX/r1b36T2vrgB84W94vpgYYL2vLc25PWwb0SBN43f5YlhIq/a3NYIyCbYVQGgOGtZM5kfN09WpejASJshsJ48TRaMJjLZjFEMzi2wpRWiN1T9ODoXrSm8W95S3pxyvO4MN2RDjv8KAZ8BsBzLWyj/I507tnfTb/65RVp442Hxmi7NiBHQhX6mPCgOlAVCsR7S6N7Dvn7lYvKgZgwtGAuwxhcP3MB25FoF1YrdcnBZ5+cnI5697vT4YcfDtNlR/AFc+ek73/vO+kt5Pu9731vOvPLX6QLtTA0MrUyd5llAjxUwqUGpnVB7MmTn2AA5IQQHE0WLWjJbt2j/a+dqjYUIUhQkSzvd+DB6RdXX5uGDhuehg7qmwY2z8VTAS2H9/uxsMlB7/1wmos/nOt77jRqeNpk6OAAkti7iXzkwa4oWqRnAxW1hfQqSJafjiaCC0SSqBqI+pTdYAcoFmOSsMGwTqW3sBZrhcII6FFo/FwDWrGHFZq/XgZO4e3Tc0BsPT0DDV4wCBMIybj5pA2aNkOFMgOp4ApI8k9gsTo9hncCX8yaq0CbQUywNd8Cq6AcK2zF25W4cln815yjvTJ7AGhfde1jR+6HbbV12mzY1ulTn/lMes87cJOLklE6aN6qXZxr7eV5oMc6UWMtIGrDkIG2gGqdbnIGvluCzSfFALilnxQkf+Gz7CxHtr5hg1AXZ1eDVf8LF0jkgZJm3oaWbdS1vQG/72IymgTCeodsaGLQbuoi2E52aYpBT4CRmWpN2u4bMAPxztajxqR/P+N0JjbUp+effCKUBvNlS66yFAFQ3mHsdumvDz5NHpUtcmt5ue/Oy1//+lnpP//zrHTv355Ox33wI+QDxYElOlux0+aSET2nVPU3l7vqxlp52u0gmwEW2sj5FQaSmAqHDC5IhhYR5BNSKsH4BlUyhTjYGLjlHYNg7SM9CBTUXwMkG7Cz5pSXZqXb75jEA9w/EF61JRcwGbTBhgECM2bM4p36GMWfN28eo+ROgSQxBM4gM8raQFdc+2UznrtxcWulP3a7dBZX+Bcx62rIhhukGdhOBYdlLBvUhz2Jbr3jnvSHSfcyU8ZdYHHLohz98FN0i/CPfexjdNcYPGHNgabZNDzkezHakIuztJJGT36N8+emJayUP3z4Vnn8SUVLNCVkiniOBlC555UC/PnPnZ62HrNzGrDZFunQ/celwTRavdhPTErPrOubHibe9/7rl2n8DmPS8V/659SPxPpgc1MTElRIkBh8A2ApaccN/tiwCIjOB4vpkgi73g6CqV3N8DyIXoeCSJcW1LVRiy4geVuupqRJgBJov16OBu+sNqdac4Fv5lwAGCCFVvPZbNLy2FXPg3m8B11sg60jewY+l6+MH+YC82xJKwIf26/wjP+ZH6lzYZoX+XGET7Rvq5FmjdsBOfLrR+AZl/+LTRN5qjvSByeemL7w5a+lBx54IB152CFp+NZbRqPkFkCLmItv4+EokN8otCugKg2957VHs5RDBtFcy8sAACAASURBVJYKO8YzF0Cy0e1NQ+gOCfU8dAGVJdKYPGt2c9fmWMOA9ExT4BW4F2HC6qubHNVoHRo0ZWRzCPfQkp3d5eJJ3pfeDuZpa16unGC+WUZ6fQdtlObMnBbTX4ewlCasTodH6urep7mHjRJ5RwXBSTNqzC4w/+trrkljR21NnrMcDewPcEM7x1LkhbyoOK8T3xjxJ0f1ap0I3Q6yK1JJ+lnV1C1CiA6EEJYtVmgCg0FK+xVdd+IGg3CUGV2D1OAoqcy7vDLjaKuRI6Ml/vjHP54GbDCUylOI1ZaZDqq2B7MrLNo93Sn2nntZFhGt6J8nfphUKowdjGC6fCtqPD4V389nJKEQks8SgmFDI0ZAydt/fOmLrNa1bXrbQW+h28j30RLr9SeEgdWe29w3i/gDYOZ76HJde+3VdP+PTHfc9cewjS5BOJrJxzIEoomfdt5WQG/6C3gWMFV4xx224/vkgTTqKRdJwpdCJrQjXhSBhitnGjsneLXDTm9KN//57vRWQLYFwUEfA+e096b0xDOAGi+9edyY8G1EWYF2ajsCNnWjsKL6eG2I+gPQbITcjdSfdaFmpluQ9j8HUez+6ZqG9Q2CYpdVtwMMBO7cRTXjTKNkUE6IaWTL6hbMI3PnzEjf+dY30mabbJG22GJE2mzLLdOue+yJ0Dq9khWvaLwsvjtN+D0L7MBR3MyFr5xXANaeTkQDeAViacV1HvQkqnUS7xtJ0CC7AbSU2W/SaLhfmiYAGw+1WBcQ7wXYb7xZXTr9C19Ojz14X/r2Of+dpjz3TGVKKs0O4CfISjU7v2gHQfew9cvnfoM7ap+hZJCHoml7bWPRDsCCI2npzdEb9PJpb4D3SRZoP/TdHyJP3kGerFDqV1AO/ofmbmhov8+v2xA1IEPRo4CI8m5vKjw8IMgfyQCS1j/1gR21GVNSA54TPdgPz11rh260eXr4nklpy9HbUD5ShT6mFY0EeXbGYZiPeObedpZt0qTb0iYsOBS2dWgpLWJ6sISGBtHwctdgNZAFjpQmGvhMo3i4Fv9ZcyBLq2VFS1t/Cq9aTBvC4gxlpwAKv3aDlYo4BiN6l3cq53QsufIeDCyjAJy51bZ6Ujr73PPS8BHbMtjUN3fZEAY1rgEc2/ieo8AOGE1+6ikM9V9hZJzRY/IlGxaQ143MalcY1XJlvhIiH9E9z3cchJEn7ObaNTsSW903vvqVNBU7rPZaR3Cdj+0glq08GBaaxaypU9KTjzySdnnzLuyqOxOAoRtMV9DphG24wYBdAbYSYhldq6cwFey55+7YngciRySohhWgYuaykNkBBz64rXZE5hHIepaO22zEZmnen5akZxtTGoM77nL2SVIzWoaZ4/H7H0g7Dt86jdy8Lws5qR0ijLyvZ4KC6mSBHARwgUD6AyDEa4audveAVu7TeBD0SFjetBAXH3YNXrQgyq3JJcCEvAnOZk1gVPuiyUvLFsxNjzz413T3pDvTzy/9cdp5px3S43+bzKLrL6Rrfv2b9MjDD6UPfuifsd8uAmRIQbsnWpIrdsUaqtKV9ELb5qjG2kLjGmBF3Qgc2Twg7/msAqzWO/EM4Z4V4BfNFXfkOmy48Km84Lq88qvuTQ6+6q/aAM/27dcrjXvzXmn3PfcONyQXXRG8+mKHNL4Ng2BqdWl2sD71wqApCiBugn4qyuav5FPgspfnPc+dPCAQmpeWaKSRHfymL7viKmzf0AJ+sXlQq4U4pC19qCu+HOmg/bYCrmr+bu3UykJDlilsvXzDHhcME/XtLhSCqou1NyAzjY3zw0WyganUs2YtYNPP6entB78FHqQRUz4I4YEBMGsiswzz6an1i0FU8o1Zoj/+r7oK8qkoh+/FlkjU03K0ceupKC5kI8t6sJ11YMggnM/Xvr/dC7JWgsQqxwp9vFRAXKGnDcBQk7TL58BDCCC0zbBhTIkuy+dzu4FxjzvGESJ1eJ467cU0bLON09uPPIb49mXsisBIMGeADsLvmgYu+vsQwDJmh7Fps82HwYxqWbbiPIj/tux8E45wimdoF/HF/Ecdrh10ERaixIysJgZ81Ft23nW3dNhRR6VHH3k4TZgwgcaDXCIILXY11eRgrD4IXK8dd2A0d3um/t6VZmOftevUOL8RTdtFyHHfwjuirheuUDQKPZniOg9f2o9+YiIMjTgBEuQM3gvIqlDG/JEZQtGANOVZwchK2mPf3dNNt/4+DTvm4LQQVbIHGspT02alRcwZP/lDxyRnzffEzxHdBiED+iC3W3IbHIxzQCx6EtQRbra4gS1IL8yYl2bgGbGcBsTpwNpvW9G8Xd922nOT0yP3/5lutcJtA6TI53oNX2jSxwkjTZ/+XHry0fvT1ptunq67+nJm7W0RIrXpvrulPXZ7czruuGOYUPLJ9KOLzk8fAGjtXqqRySd0cKN3QOL8V+gz0Fr+WKwGVpG3tH743AVp4lk7yFrPejAIrOTNxiD4wLSyQtAbOgkOfjd8Siuam9OddaGTe3rhnueAWNhf1fqhgyDXgwWo7XLLwHkLGPi7wmfu3uvCLDa+NAfUpnZUjigT8oxjEc3EkYcFzZYAI23EKhc0nn0Hs0YAvQV4pSeVpaO+daaCYiPiL/f27DECcKZjOagH6aRHR4tmGRhYX3VdGqNXBiXIRniNlB2PrbcmNAV3FHFJxzGjRpMjG3Js6JgZeJ13MaGwfKEDZU7S0OvE4K4MfIEz0oWGZkRXPflE81posnwv5D6zW6YRpV5XQveCrFSiQkO0oFlRAKWlLbODHSAtNVRxXaJbFl0Xn/Oeo8s62BuEYoOAaFATUB9wxojvHHjggemvf7knZscccNAhsZ+Xs1bcCtvKFFzhgNBkb5l+Uzrm2GOzixDMofbmgE6exhlcTeQskNa+rwr0JZSddc2FQQ3DbTaW053THPHOd74z/emPd6Qdx41jPji2RrUL/BdltHDZodyzX2SQ7s5Jkbf3vf+E9NNLfxbaQzPCFFoNaeqTiFNmaOAzpr+YjppwOIItXcwM3xa41I5WCJmGNkvmD62T3847bpt+f+vv0t2Pj0xv2m4kS3KndBsj40e8bXwaqgKMNOsTa7pqxDRTEtvXg775wnt6BDSlkWi/f/7zPamp7lniICzQOUCYKNrBNx3cL/3tvruZYpnrK8CFZ74fjQDlsJGsa2tK7zvuXeniC88PoHCjyx4uiwiY9Gfx0EUI7gXnfTe9edfd069onbbffizViEZH0crcfTOZ6y6ay0i/aIqaXmxqbBgFmgBZhFwNUTprErD+7Nr7zHjuc7bV8G1gS1ahsucDWOrDaX7dFSLoy3um3Ab9gS2AlXqAfPYg5EwHmcK3W8WB+pK/ghKk73cEMidyBLDSAITGSXqaI7hNdRAHGrmhvBMLQDHySU8M31V5wIVSnA1obZmWDUkMNlEOaR3ACri5RTsPonyWF90jQpSdNE1a317zFOUnju/7PGgUKA9doJGLp780dWoauc3WfJWC5BJFeuo+TsIwPwJsA5mKRg/Q1WWwPdCILMVE1LKU3ZFx57K3ozLg98T83rYWEZ+MrSNhZQld3QWDYMsBO7VUsMzxFD000qgR2+AfOjv1H4q/KIzZG4aWgZ0iGwMGCGMrRndX0A8BIR2idQJbu4iwc7zzF2ysAtwtt9ySHnjobxVbki4qmXl6UIm9TAPN1QGv3XdncRUYH7lrZzA5LnTDzvyzCorIAB2MI1O6MLGagIw5gHnXu5H+Wd/4Bg4CLPihdsrWHy0wrIt1tLUuZUbazLSAVcKGbTcqXX3db+hiLYYOlIWGwHSa6HZq422wq0c3eXMG9QYAMjxCC2BQSi0T7UNmNycly+YlXwMG3EfPSP0R1KGc/9Nhh6b72ACxDVNBE929IQy0bb/5RjHYZSOUmxPf4lyhMSGCaRaBii4zAxxf+PfT0xlnfD7TL96NqPFtU0Bu433wIDJnCpXkQjStS3+LsYsvxezQBo/UIWB9+AlmqKLxTC8HtehfXvHT9O1vf5f8T+IaUKd08hR//N8eYso19ViCPrZuOW5Pya67g2ZhZoCQTlARMKORhHc8ylFTiX/lpT9MEz/68TR4s+HRk406Nl1AS41XM5DaYAZe8iEPRCHhN/KFIhz3vK9JI9OQ10lDQCkmi/D1pbja67kdgCm4+gttlERtUAwtarbIRcxc5J5+vY7uy3PakT2K0LprFZCUCRyss2x6vmje6a3pgwFLyy6vkRAylvk31zlpyWMsQBD2eajShlllGmsrbDR0KGYRtG/S6UXjI5+YhHIkb8izLTRM2rr1ZIjZY/C93wplh+ObxmEOevSBiC8mHHbo26Kxc+wkbOTWrg1TZEZCrt2h+0G20re2O0E9UzEwCzQ74fjj0vfOuyC9870fTEuowEULcUNhgCi3aHQ5bN54R2dmRaYIkt1khTMAAYa1CqwMf1akI/X9BmyAQ7zu8dwDiExTblA7c3ri7htvDAOhWVqJcglB5i8hpwfjcS8DT8QojyvHSnxet1FwimE4rHO7Hm3jENy1nsQP9v8d9z66dNwDaFV12mDOfoDlsmWN6Zmnn8AT4o40mEEo9zZaKhiQpTA9AIKtrayEBW1efO6pdMhbD8haiGUGEDJiqR115DGAja+EVsJRme9J/vowejwAr4ZNRo5MB205Us+wpMNZ63Y7pkFwwBJmgNX3pQxojwqLTBEKTyGJtAlUxHUIO67zzt1yWvo4MJQpyEuEiBZnds8RPivO10Ng4kH8URsz9MeNZ3C/DTijuaQydZnSjCRN+/WlAaZRdKByRxqjS394MUllwJKtLJ9ZK7xhetXn8kYLabkWqZ8zrkLt/QjcKACrLVlewepBVz+lH//ksnTLn+5O4w/fAkDNtkw1UoMHKZ8vM+9ZPnkl477n0kL+M7KxoTd8KCv6U3PVJCCABiBybR4dkItnXMeAFkfwj8SQg+gFkB759p0AeHqCgury0EaJaCPAO+64YXpN2Mr7k9GwAtPA2CxLU8FVGjshwLTcTUNFwXzaKEgnPT5gQ7RkFB5mjv150u1p37334vPWO3WDQIftXmWZ+H0wrcjfy5cu5DmzDcmqJrCNB2+aFRqAd6stN09X/eLnaL18I+hI+fkoQwfYaTFXkS8HFrkMOskTa3voXpCVUpDL5cqkmpWjnqLwHXzg/unL/3Fmmss6kX032BjgGZgaqVRNB1aejbLMJBCqGchn/pWBTFZmML16+0nUpqtNNdNd/9nPfsYqV+NY1GJw2KgcKXXNUmdiOQD2MIMoXz/rG5Gui06YTmQujvlPEdQwyFfuZ7DNsTuimrdKCmg2rmqkttCMGrMdeWhguuL/4UHQy7VcgXhtVe6i29y0OM2bO4PBnQfTHvuMT9tsMzJdddXV4Ziv1tELAvVVM+Ff3x7L0yP33ZM+c/I5wYhhj4UA0sj1PaVKOx8qXJUSeT9OKaMj0hKjCW1ZzcIplwPoipNlJijQRZOO1o+j0vgDwP7RhcvoSfkESH/Wh4GjbnAxN9/YEqxCh4B868hKJoQLVJxV3uXcegtE9TnvCh6hUVJ2XYjqAfIS5J0wkdjomgdLyOthgyWfgsHLBdsjm3XLRwK+HlpajHbDFw2YNgTxqN+Q6B74Iz+VLrzw4vTuD/xL5MvvlkbcVAQPYTQaCjJgg5Qb5py/fB43+Z71AJ+R6ViikYGgMBHAl2qqGWArwBvXarDkmF/UJtqrZXWShnEFJC4BPv4QtGnaMAnojiNQOuIb18FIvUtw4XLLeAtO+fQYiZ00KLs21L79BpGmdcBP8sS5eVCLzT64LaSxdOG8dMfvb0qnf/SnQRPLaLmc/lxPN8jGSWB//pknIoN9GDhdiL1/AJMQcvmDYpTdCR5q7uSZXoYU6wnvuJNHL+QlbNeWi/TWBYClKKG0eOy+YDMcaoe2UStTorJbLBX/6U98LP3oil+l8QcxQNQXqka3Oi/Dthi/SLWmMhnB7qHBAQ0rhmSCcbTJCp6PsQpXHwBk9732wVbXOxZdoZrQ+hBSGMIu57PPPpu2HzsubbL5ZsxKcXttJBAmDnY1QYLniBRMK1siSHQNy/2sUsRl/BFHwjeWJQjNa1+WvDMveja4X9d7mGRw8fnnxRKMAptrgOrh4NzvoQMa0k7bj2bmzJ/SPbf9IfXaYKNYxX4O9k513vrFCyMPc+e8mLYYOjDtt/euQTtzGIM4AGzJm5mRJiEllNWiaA9UYPSDVJtqacMXcmDPNBcf2Xqm6QrgdUhGA+Xvy55aua2y5NnMEB8zUdNRuPlF15JrNXaDQCt4cIuQCZhp5nnc5LatZUfoaLjyfb/nu3QuaQwDEUO7zCYj0iHxHnRPDQ7AxbVgUcmP+QqBjxikJINVBU1CziqzfuQHQ70bRREEj+iF0AD1YJbg489NSef84OL0+9snpXe9+wNpw2HbpOWaseQHX7XxID8CdnRn+ZS09ZGAIB38ZRDmPi9lBSHXiaCaJ8EIrvAvchE/0vEoUKn5g0MBkAKNJgDL6D5xmhDkT4+WX1r6XBOIGWh3S4MGfoepHmw8KNCGsQTg1PSAfFFWbkNx0lCpgccXM4Dm2IE+ys6Y1P2wB6YbGwTr+dFHHsAPfRDytTvP4GHesYGzhyo1wct04AH7cuIVDQ98ddQBe8PTeeBQ+dOsIIc5eN2TF5aibPS0Rxnv8x55o0gUxYTlCuOv/aF7NdkKfXR7smuZF3+WUdV+WtKHTnhPOvOs/0wLdtk9DR24YZoFsPYZRFefrom2tNxyy1YwBNSOrqiMzrVaqC5cQ3AbUbBGsqjvQjYSFAj2R0t2R0tdqBRyF69uYCm9F1ng4pDDDo5pfwLhUoRP+566iMKjoEeoAga/TpVHqChnnBdBhmnRKB1VNw95EIMudd/+zN5anMaNe1OaN2tGOpwFPnS1ERQ1+LuM22I0g8suuzy14Vt4/L+chKvSDaznOTvyO2fGi+neu25Pk598PDXOmJZ+9vOf0F2jC03D5MBQnoWl+QXgQ8MLRlTFaQ/kWIDlgRtIGoE5S+Qhaw+LWxaivdJVB0B6QFh5ehldNcGzQe8FXpDZFQgBNoDF3gihXOdR5DwY1E6OiBAwGyQK8At0ilfjjyDUHpR0rtXOtZvaYAkaufGg8YNHnOjhvQzwOS++H4sOARLhqmaOKwlnyKt8wbSJ47KM9qFa6Fb7jdjokChORHEKqHvE/fcPf8xiLJ9Oex54aDrxlNNTQ9+BqYkuL5kg7ZxHu9GSU5CVSu0aLff9fv7xrHJuLuSLWIIReod2CkN5L3ibtPN51l4zv8Pr8pL1x7/gSN4VePXz1W4vyNooWk9gYAyS8ZSGlAvKqWx4H+cDgJBz8tPI9Nabbrk95M5V4drwhQ6a0e1/4YWp0JgJAk3ZfDJ99rw0j7Uz+g3QTMI6xgvnp3vuvotFaTZkMfFb0zuOPDx6p9rRhW850F7RdmNGphEjt8KURINGD0me7c+UW9eODW8N6GaAhOYyxifkMYOrtTktuwQbIS+rbpVHa92xm0EWSkFMCWWn1mmucJUqRHQRliNE38Xx/L0fOikd/f6JaZsddmFkkrnSTD0d4BJsaq0wjEHAyCDLkTS9JkG2qpgbQiizuqPsn+64PT386GMhOAEI2J/cwVWb22K0yzGjt42EdIjug/C5yWEIhZVN1uxqVT4Z+VZI/W4RKMtTHQRyshHCoqFf4/30F6emLRl9dz2AA/d/KyPnl9An7xcaRT/Avo1BrXkzXorvvhXb7cyZs2N1e7Xu5Yy2DxjQKx1y4L7pg7gvjcPNa/w+u4f2rzeGi2freuNydwJsyBUZkhzmLQSaDCtYPpP2ah71TAhADnC/YgAQwenLlQNoIHdoUG65HmXlvmLTTgSTNRHJI30gjvTJDYsPTZVgj8VDfDcDjtfWS6fAc/PqXZONI/lx5p7ndl01GWiXDNpyz/n7OrmrdQrhxvMX5greyylmPqkQIqop4kKLIsgCrEEAcktzV06bw8aVp3/ulHT/I0+kj/3b59I22++MfdzJI6yuBQA5eSQWEydPeoZog9YjIXIg2JF6bEcD7eNYKZ88qlLhCmx8MbRwp5iqrQVygpoFbGUpTQ9BK8low8YxQJWjw7EOeOmo0WKjg5YoyAq49utcdUsw1uUr4AuatNCA6Te7nOUKe8BzLcwe7NN/EHxAzuAjGyfrUC135A47cU8gzHt3tcETS0izP2CpSUFb67ixY1BiZqUfX/qjdAwgq9w4KC2A5EkeNPjkojcDlj3wwxVooQCNpxsiUgYrnSA1wreZuDaIIaNE8PtqzqRGehROPpPR1oHQzSArUTPzSDBbRYmqYGqz003r2KMmpN/deH369JfOwl90fhq3255pw3590D7RSukmtrEUmkwmQxnsKlsRMqSVqhOLjPvMU08BQPVpv/3egtbaO/YrchRUbwJXFvrTnXeySMxxsYWHttNgNlpY1+HUUboOTRNoinTD1iaq+r1Ac8/8riGDbj7nOWBtlhy5draTU2A3GDwozZ4xI9x+jjn2nemzn/n3tPcBbw4NQ6HtreBvO4KtwGekW2++KdVhF+uFR4K2NUdo99lnr/TZ00+DYWVIuucUvZkGQnuvQa1B7U7wEahyTstfbwhy+T6yy8CPSx4KXGjDCKlamGW0G4gyEkztNtza/QzGMFhVPewTkoZYGWnySI3d7nLgZ9QHzypqvrBjUJgi+NIKoTzzGN/glZgGS4IKriEAh1f9RsQB5JZhf7SbadfZ+fHmf1XBdwXWOFJe0zYXaoBOHukFwM5YsCid94Pz06U/vzwdecw70slvOxrf4UEJziBtCa+u5TRetHV4Q3YQmAQAQUNedvAmjtwvW9JoplEjU0kPn1vSiO6/dIa8YZcFMNVWszZrvjJNrSvPjee6HtmcwD3yLg3i21y1ooXq36vS4n3NEGBbPDe29Si2u4BOA0pAE7yyAYO9Z555ZvBRL/JtWfyGdv1mTFR5ZL81Hbz3uLTTAe8KPnSGWdhmeT6TlbnaWK6wd8+BmBtwtTSjlE3f2R4wqhNtrOpe0LsHvSEn/bjOgyYMvTCMbfm0JlgXrciVphzFOuTHBjC0d+3zyryNbkcDyStrbeh2kJXZo1sSJJKoUJWgxii5e+MTedC+u6TrLrs4fezU09Nt11yW9jngbezZtSnzpnFrEmSdG10hvEBmiE37sC8ub2HxFGRi2LAt09Qpz6b77r+X6X8bx3J74TxOZbcAUPxJj/3t0fT1r3wluoy2ptqyZNzQZOGQjnwKQzmUM1ti+JJQ+X48zmCvbczZNM7Mqcd4rxuWGyO6HXYbWqSLejzFFMhYY5a8NJDvOpZ9m8tMr7fiNTCTpeQenvxsMLsjvFljRcARBrUEmS+bCGTPHMDXCohU7sWBm+aTKJzl0P4YbRFfXYugMEQEkED7ONT0D7hS3srXlXatPc2IZDz7y4RIp/Ju3PBeOXmVRzHcENpN1cth7+W+37CsBhcuN+g+FeXgPIOeieR6EXSsxxYAKOoVejY7qELPyMkVzz4/Jf34sivSL351Tdplj33TKZ//Kh+ggeRXp3mA8lhuIB2w5HvWbZQKTiDdmB3l1+VjrgNIOfr16O6CxlFlvBc795JS9hawCRdEAaD4cT+yzHZJgJmA5Bocdr9dvzYWs+e7TZRfk5Tlc5ygBwpDDzxT+rKhYm/8qMPe3G9wgK4O/noX5E034bEGZp0hQ/374G88f166/pqrAGN6L8oeblzmyyDP9aYibJT+9fNnpR98/Qvpodt/lT59rgvJL2MQd3T63OmfTM89/WS6/Xc30kDDoygEDaShlmyodwIQIVchwKq7ACGWsYQG1lA0VHFX8nVAT8YEK854vpf/ZrpXXliLDx0l7ZZCSNoS8rnCoXZiV4Ez+NRWuC5tPmRA+uWlF6fLr7k+fffc/0Yr7JlGbb9jGrblcNiLWS5Kmu5YvCczwKKAGK12M0zEpoG0qemCiy+J2V/a2qKrRAsOTvFD6GBOv9ebLpIru8/H/mnXW05XGGUAg2krWHFeuee5Cm2xyQbYZsRFyLO7UUxBxQ1r8NCNWOqPAQcGubRF2cWMFaJw0/IjErwOP9kmlsf7wmdPT7ffdgtjb3RLBWWYX+1clxkBdhmrcmk7zqxblRkz9Aph5diZ/p3ud7rIz18h2TX62OzJL9WhZLkc1STV6gUh7bZel4Eu61ItTa8O9636zjnnpSt+dV0a86Zd0gc+emoavCEeKYIo4BoaqTxJvSri8kODFU4aAdbBsTxRY+Mb3jOowcvLtk8Bx7wfg3vUpVqr6zhoizWPNghqdg7g2RuwQXBarTOg1BrdJUH3qmXwqoOAS7Dru3SmvaWB7Fk35annU9P8OWkQADYX/mlmHQfz6uxAPPCiN0XG4ls2LG11rBlAPgT9PkQYsdXm8NR8tFFMCWi5fs9yuJobVq4wGzX0HZQ2GbdvOvb4iem7n3hnOvVr/5Vmz5yRXsJHdspzz0XeBWl7HMvpddVjchMUOwfpWO7kZ+2X5Xb7sby74rE9wlp/0s0g25k+KwqMT2PEGGCx+64GcfxxRzMb6+h04+/uwP3pz+mu234TSwa6CHerXV26voXB7VC4bYVdafdEUoON1aCAKgZLQ3Dq0XxdZMXl1vT7k5k+99lvp+1HjVBFgBcQTgTHtBSwMBVwLwcEOITJrmNHyOygZsE3BFG5mJZ5IY71LkJ8yic+GbNx3KxO25USCFsG8+fvYabYaED4Jr6LpRjf8973pQ+feHK6+fqrogu4205jw8zRty/O3gi5Yry+h64oIHDFoJjNk0DmiAu8JK/5zN+1112bvvT1b6Zt8Cw58VMs7E7viCXP0iLm/AuuemVKYxv8AFjueV/s8Jm1b53Hj4wIwLBRBHnAt50F6FGtUDusOqlM49z9BnjCnptmDqfi5p+8JsvxHC26B94fKIeVd5jZ5VoWxLWjDYelVkxpt11912SaLQAAHMJJREFURZpw8AH4NuMOCLahi5IP5QaTAN9pREbMWQM7EpivJSgTDfjJzmUgeYstNk8T/+UEXAIxIZBPtVgbA/m6pwUiuAbwEmjy82t+E7T49HlXpu+eclw8+8UvNk5LWWFuEzwMwkZOA+CW4rXwyhRYMyBL96eiHHbKkTNuIghkMJSzPbTVuMLQMUfsn445bH9G4k9Pc2bNY8GV6Wnu/IU47NvFJ57gw88uvzbWc7Gv2fL3H4yzPCsIxRKGMj9p98JlqYln/Ti2Aay67lxyycVpEHP6zYEspgCFwFTylGGVv2R8xbyXbOe8h7IT2sKUqdPTCR+ayOrxaLEMHMxjUMVl75bhLtaLhURi4I8v6vbSvLg5bc2+ZBddcJ7mv/TDC/8raxUsBjOKaYvm0Y3mnDRRGpX4Xu1PJwpU0yY0WZ+CgEtpUJ94fHL61GmfTnffe386+dRPpe123i3NbFyMqx0uSvCau6EKzA3Y5PUQDoClfvQ5rYMPxR5NPpkvMBXIT8byOf+Mn3mHD8KLeQQdkDULgJ6aauxrBd6G6yE36vieg1bB7zIWYNesxwkKxDJ40wW3+zPApyugJpPlLp4OMDY349K3ZE764Q/ORGmAX/nku953clrYyPrAgKqDu65dbGOvJu/Abm80eG3wPRj0amawNY8roXTAW/W6L9KQxMATpZDf6umJua6Ge8LZM3TSyUfP+Fa65Lzvpztuvj4N2nDjtOGeu8U77mxgmWFOKd4pFJnqdHM9vuh+kHUEoCpYL51CBWBjgIWK7Ydt00HSqKjKq5tstEHamJ/34NeoWwdqdWy+4spfpBdYHGb6tOfSjb+9ju4XAxvYRfUTFDrtavWyawPTO/qvRjtv9qz0LxMn8r6zYrK9K+cJQYGhS3AxZzeGi2mM5Wb7MWs34fjtdyiYn3zm+efTT3/289gWORvwsxhqMsjdWWe2sN4Ctq5pNBw/OP/itM9ee6ZDDhofQm3ydkmdc263NLqe7d/sfFINMJ2frDtXK4tw12VTa7U75BY2kybdlT744YkM7mCKYX+zn/z0stTrV9eG69es2XPZNmWraKBjai0g46QEB2JDt1PbrPCBo/S5pgHKSuta6B6XxNMFUDfFArLWWWiugiigJ887aUUeMWRe8RwFQDcyvGlch8F9w2axoaWmJ3tmC+bNZ0r1kth+aP7cWbgr9g8B0M9aW3ATwNuH1Xp6YDZTa13CTCu7am4hXwdv47yIK+GiNIRVsLRZSMsYLIzZh1wwhhAj+JQxFoPRvMHtntDQrYqaMGE4aKw/+chxu6THH74/3XTTTdE7UFGIVkS0r4WXpUD3g2zl81awveqOwB0BWEO8XTMA0xFrF3J2Sp6ABa9T6XnE2aoMx2iZGQZbbjede+ede3aacNQxyUVWnNutw/8ShMzl9aIbCSOZvEGXLTWED334xNAEdOlRMBUQGV/tuDqYZwXHqYXKSxGiiqxxg84p2kdZSFrh2OvAw9L0GTPTJuz75Hq5Tj80bUdpiwuRK8/3Z9R6u+22S9/45rfT177ypbQLJoLejELp5hODXLr/qPloQzEfNka1sBIFghfQDnMDhnmHupLO48czk27EyPSVr38vnX/BJWnnnXdKB+I//cLzz6QPT/xQuvaKW1jkZnNspoInP8gsrgqyuROtugkPwov5LC4DqPJZ/hsDk9U3Op2j6VZ4r/p2SU9uc3Hz3mih8rLhyqt+mx7FBfGIo47GFjo9fYZtXX72kx+nM798Rrr4ogvJkGosB/i6F4NfyxezChoNsgvYNLQs4AF+vz36ozljz8WnenCfHrgLTovpy2bFdURiAA1lhlJbYN7hR1BOHAgdAG/Omf5CAL2ysQ8TEP7n4gtTXwDcRdV1H9TPNkac86tmqSTT5Z3Kg/XusMZAVspan51hjBsFAY1ADHQ3IomuLN9GtylWvAr7kcxPV9tEAFBTkjGt8P0OeCs+sMRnDU8Xu9Y/UTeuZZoNYD4lScCya+jMn0FsEqd/rUHfyzyt0A6SieeQNUh1GFp7nqwSZLmvcMfCGICg33T1o50c9ILBQ7Mi74a8HimzrogX76DN6jM7ZOMrwpbrrCtL5QZ45iMGyzj2JH5HriKp9ftPYaAKUWzApKe3qeII+tm6Y66LSA9merWTVhz4bFrE7grYJ+v4DVIDpNUPl6IKjQVEObAjaBrgHt8SgDu1wYCPwUHVCDLIKkJFITbhyvtotHFugnh3ALCRd2YO6IPc4EAV2msDBtpWNMk+DE71Zw0HzWIuGtSA+agZzxTNDDuO2SbdevftdPPdCXlRYkJfOmQ/dmyGEPfc+lt8XVE01NDpxY0dPTzoENganJYzGzSzLHzXorjO64hhG6fH77sr8umw1u677MTCMBvi3YE0tLCtE3HLbEPPS6imXL638p0Sd306rlGQXZGwwWwwemwpIyfL0AoM3Cz2eoyb/BXo7NrFwAKteStAWo8NqokWXYtaH7a1WIrtyZlAzsFfzIwv1/l0eTjXR3WL8EYWOnYa4SwWrVDT7cP0QYE3OolKE0yfNUbSITt+uzjp5yvShiEjKs8FfbttPfC7FFCbKFAdXb6FrDDivHEXUYmuP0CNCAEGaM4VncWuoQtLL0P16sfIsT6NNhvhcE+5zUfOi1+uha4oUE0jeUbQWEbdP/bY44DswvTbG29Oz2NO0id0CbbKRSxCvYyFcK7+9c0sMu3Ggp2BIHiPWqpO1/peKazqZgVoTaNyCmSrMZaQG+ui89mEG8+ZeyoLsGL6630PkvcnGJe7FXtrY5o5Z0H631v+xI6w89PNv/9j2mH7bZmcsgcK7ZL0pS9+MX2lNw067+uN0gPtsnXRPECXSQQNgzkqQzQQ0KSXkwTgrxYa8Xp7V+Tfxly+dInLzO4OpLWki35wNqIAT3PTht9nYc8lMWcFxtoiLvzNBwTbLKeljLXjihRYrSD7om4eU6ZkWxcVJ4C5mpa2zSa61cNHjGSh7M2jUrTpOCilf2lhupw5GbyD8R09jSBTI0GuhFQPiPIX9xvdTrItVFSWKXRYd4YKUQAxnil5sJLuLjbVy2jVVYfVkNUMSmiXGZmS/BpMj8sA0rjBOzJmpGg8n8rFEXI+LXNMvKAMAq+zhRxc0CE+yoJqExou7ziCrfnCsvTWgRtPBM99X0uxKcvktSAFsuYIgSoh15H0VpONKcbyFLel6+WXX55mzZmXvsXyiK49de+jT6a22/8MYhBh6Dbpk189J7RQLa4VXZL6zA2bwCfIqtlpLABW4pve6/jlhtBvCezmwxBeCRz1c9WxpJWZY47nW+dhv/dIerEYPLwTaxkDVAJuKwOd+dv16Y4HnoYB0C7TgHTmd/6b9JvTJz93ZnrH0RPSm3bdg+Uq29gt43GUBge6XGyd6ADvVkx9nfbSzDRuzwOgCw09xc3uxWSG77nNu9/O0Gl+5WmO3qF8fVnGsjoU7vaez+XKWPCpEkmAzfcpa6SbH5T32qurEn99PKwWkHU00275rbfemk466aSw5QwfPjy60QvRHF547vk0ZOjG6aCDDmIA4lKqiYqlZoOhgupWcXXwOld9BztwrYCEYVetL1fjoP4D6AoyEg+b9cFcoGA4WtuuEVaSrv5CVLwaafkk5+3dOu4VwPUd238FwLzmK48wJZFyPPPZEfx+zltF6OLtbHKIgROy7XPT9LofgwqhT3BfAQ2mhVmlkWnVwstTIIMcQGlXlgZX+uU1GBrSAQcckLYdtzsNFi5N2izdgogRdN8RmJ351IfGTU2ul4CElqbvqLwck0lojJm+z3PTZ18vfKz9+Ty2aTEd6s91gjUZaZ/3F117uvfL2BXCLrtg23GfVdh41qzWiRCodQvIpuEUVxsLpxAbX+B2goF5W44JYclCfGOXNmI+qE8/uewqbPlfjjUydt55Z6a8Loj1mZ975um0IYNmP7/qN2l/BlOdCZanYQvDpEdjrzlNs5S7IawUQqw6pEVc9dbLsaI0N45KUzXQrpT2enpjFVR+9ZSQuAbtnDKFzDds2LA0atSodMIJJwSTPPbo30KrGIgddMiQIeF07Tt6AMhQpRX0XgSRy3Qrx+ynyhO0S21o2qIMMQ1TjYDWuzfaIk17WjBzbho4eAOm9uHyshina0Zum7HV2k77N4L2pwjl6AW6xUpcJAyaDQTJz/qcPxlsZbqSImWonGpTMwiQJUQ8R6ttNNojBoSSFpoDgu0anMtcqKSitupVgDEkBmWWM3JcXitprt/HUm+Z6NEoQcdmwEr+k6aLWBVN1yuXdQwNEhpGn0CfVGbbwUnxzz6Jg6z6Usd0Y5KUx+oA6zqANWZ88TmbY2dhxbRjTDyxIDVAZQOsJd33wWyekyItoxqk07UdRFrGwixWqz2aOmZo1dXldSRixqI80cPdZ9HG7dOzFZNDYLHzLGtJOLuxRZ7DK6YfK/o0NzKguxzPFAbLGlmd7a3775UeeuSx9PnTP5Uee/zxdMftt6eZL72QxrLeRU8GxfSWWLrEmVn6kjPlmwahNNyxQ0eFkYLPKYsyFqGwdoWNO7jZp5U4OWb7X+OUuvBmDWzbSYP8FqTsuPeKZyu+4mwVtYOvfvWr6dxzz00C6lBWUI+WmNa6kVZWgBWIh2BANwiuy2AWGeDlQl6zgCq0BeYXYBUvZODUd9bZVcgFzI3NE8ZyJpd5VLNxkY925uG92G3W9ytgW/jJFfU7BZ6r3bpkWzBQPOTrVRwnExs68sSnKkwYe4bxzHwYT5eswp7CRAHkRY0L0qD+fdLAvnhU4BNZNHDXpJWmKzVCfnC9DlLPkKmpVqh3h7PrpJc1opbayCpSrkLVVIetE0AUXQo9Y+CGiEFb+NNj+QmpkXrQnkhonDHLizjl/WAVWt46eMMdguUv6zlct+Cb7MIF/wGQTgG2iZWXchzMR8QNUxRHv+u1XhHtgbyaRrj90QjoDeCGkziA48e6PG00eECax1qteqm4NY5rfKgNa3qayXoYLsB9xBFHpRM/cnLae2+WH4RWjgWUJSrzwFX+btCgfLgaZKv4PASgxHmFo/Q3FK22Opn8ZP37+7pAVuYwWLlHHHEEs0q2wFVm57TtttumzbG92rWSWTID52XUdFexayXD9mTwx3NDAae44E8BrnI/V1aH1hjvoDk6TVF/VAe3BHVdpdxJtdg987zokqog23H+as7UYg2IA39lVv/moPB1pWbm+JWIHNwqp5TJuzYevu7CyGpdbjhn1zCvu4mNjucUhe8Vtu1Ia306g30irNgGFhrYKNl4lyNGzgAtec6tjHqjzQaftjfSrDZGXfiLQZuo09A123spOe2MeuW7hdd9Zv3bKGvXD1yqZDLSi8a7cIj4m+uv+n3T0LxlKHwaYO19QTee+C6mBv207cEB9gOZ0NLMnlhqvQ4AuzaHSzX2YWlNLcua7Xx/FstrTsFscMMNNyCDfVhS8zJcG7ENYyJQ7rKCQfn9EPFzyPwd5xbKy5IRb5ZoEeHV/YmyVDDi1b2xbsb6u0G2MEs5Spbvfe976f77708nnnhimA6KZmscF4gQ/PLq7RrhaaG5VijUQvJCzYUpAR6YtDB2IXn1df6u8bPGIAjJOKapBiOoxrm+OcZyoGulkN/vgMuVIrTfyN8mX3EH4KswW7HhZuDMAtn+EielcRAsEfsAWNckKCFAFnF19a5wAVNMoIndSuli+gEcr4W7y0fWgeMrgWyYAyqCrFALst7zXH7Is+wgRLga0a2P+rO+4AESt36yJpqVgdyf9nkljjSk0s2HvFCOoRlHrVYhEeC0cqOYeaNaXvx2uTaP+RM5nvwaz9BmBW03S3R3CWcqOjHAaeTu8qHmrhLj7Cx7cPpo16FoyP+WvwHThH2wM770xeT4yEUXXRT8RFcv5GWZZjY04I6gTHQRCuh28fjlbkedEKGU9+XirqvPXjfICgiHHXZY7K2lmcCfmq3aha3nQhbm6NeP9TljcIq1TLVBIhRtOOrLRDpQtQcqM0C2/UbViRVNQHxCKEp3PwSJ9EKbsZvFY5nMBptDHFcGU9OqEqJIufOfAuzmJ4QiHitEIaUhcQJhh3aahaSkUkDWsoYXBd0956wbZLzQVMmsa4PW4/tonkM4SNQlG52koTO5o8frc7A+q0Opl+p72mJt2B0bsOckTxpCwCutIRwRDV80kjCH6aghqje6doXdhqhd2THq3MGcCvD6hHsmJb96NJ1yLPzl90q9RwY6/amAGHxcgIcPkd8K38Q3fUHlga+YPs/Ni+2D77i4eNib0U6d7aiNOFYmA5iVAyc2uNCQstCf+bFL2F1j6rRp6ZRTTkk33HRzest+ehzoxULPCrYiyY4Q5e64zPJRua4CWaNVh44kCv9XylkdifOgTaUxXOHROn/5miS4tEoe//CHP0SLatfFa/dlz1t9pLRgwYJw0WrEw8AusfOpl7ANsFxTWvBXTeEKyIYtU0atCI/f9OfU2WAyxEANcDEDDmGu6FAeK59aNRN0lY8MsmQZli/CZNwsZO2Q6x1vt4dqYQtPBJ/TXTPIcAVkXdzDtTjL4uHNnAvc4V8L1gq063N4NSDrtFT5yR6BDav1bwiwkj9AAkE27Pu2vvCPDZpanYNTNvUVCA7e9N0CQPbUc311gKrgbP17bKNhL0GlwRCAwlG+LDzjAGpH6DiPtCu9LReoye9m1aPwgZqsNttlrO4mdyxlIe4y2KzywvSv3Oshjitqyfeum9EbT4lNNtkkfeQjH0kXXHAB28McSANEowLQmmvxvZQz8mZ2O4rTkd3VcCYtLJsh02U1JLqWJBGabNb8KoxHxsNuU1WAYvMqt4JBubBbftxxx6X9998/vAp8LrMbv5yX7tOqNJCI9Jr+yKRwCGHNVliHcGR+zHmIjHTxpzCWjxWaEqpBuPo8s2FHvBK/dlw1BV6u/kNbpTEuGqd1JugFcFdAr9RJO3+2a5T5eyX9gj8rHjujVAd/5Le74s8V43VV3zQNBQXJb0eDU/2+DXIlr8E85VlOM4N4a/rWt76VfvnLX6YRI0YgM8qu5inS5NxPlGN1vqt5t9xfHUfTLXRdHem90dNosLClwNXgKoB67bOiddoNk0De96fW+vDDD6e3v/3tAbiaCQxqEgKxcburogphS97L9Rvt2N3lf6OV942UH8Enb9ACiKyQsbDFVt2rbuiqbr/hT1+J/8Ouj9LjYPSNN96YJk6cGPJcZFqANXgsyla+pvlBhqsxISKuhj/mucjFK+V/NXzuH55E9KtWRcgCkIUY5lTbl8FRTLsk1157bRo7lrVPqSEBt/q58bxftF6va6FGgTVJgQKy+ZtZwwub7CoysbaCbLV8rqJYIYMqTHvuuWe6+uqrY+xEYPOnbAq2BfQKDhRwLderSvf13ivgav7L+etN8436foBsqaiivXotgUvhvXZgIWycVE4eYMj22B122CHNmTOnvcUrpgJbUDXfYh97oxKglq91mwKaA7K5oKsueS7/2gqyRUa7qkXlUVlWAXqeZTjnzZsXi+b4XtFmq99d00qR+Sj480plqc7n2nTeaeCrmugW2F9pzXT4LkFN1kGGv/zlL6HJei7wOgBRwLmM8PqsFmoU6C4KFAHtKv0QYmwFHfbMrmKu+v6rSX/Vb+a7r/T+y73rs9cLPEV+VZL0Xb/77rtjunEZnPYb5nFNaK9+a1WhlNF8lPNVxVtb7zVUF6ycl26E1wZbw2oAVjs9//zzw13LOAJqGeE1vu97v3RFvFcLNQrUKLD6KVBktKuUiywqs9plr7jiinTooYfGGIrv+L5AXJQj7wl0K2KA97s7+N1Snu4A28nnjE+jTxuXbmi7ME3o7sJUpd+uyZYCeqxu/exmlC5/KbiA6vbCEyZMSDNnzgwtVuJoblDLNb7vORBWiFb1zdppjQJrjAIrmgE0H6xLochkV2XyeVF2Ntpoo3T99dfja5sXUFKbFUxLUFnSJGgoMl+evZZjBrVJq3h133T2k3emU0et/KiUR9wo5yvHWrvutNtkCxh69Kf2OnXq1DALCJh2+wvhf/3rX1d8Eltj8etSUaVCvfbcXwHstYsstdyuKxRY10H2lepJ+VMeVYAEVYH0mmuuYU2DvdvHTJR1Zdt4Y8aMCbkVA7x+/fK7MqDeeFJdOmL0+JS6AFrLtK4ArGVpKIS0EmzxCth6Xgi+YqFLnCuvvHKdIoblrIV1jQLFb3TFcnVocCs+8bri2bSS69eq4q5t91whrwRluQCaQGvvsyhTRc5L3NV1nHD62Wnfi05LLPGb0iq02dX1nTdKOg2lpRNUDYKtRJfQLjBRKqAcXynjK1bMq33vldKtPa9R4LVQYEVNtqTxSmaD8ryr90s6a+uxyKlKVgFVB8c8LzJb4qz2Mj75aNKIMG7FhCefk8aPPi2e5UddaMEPn52ePOPRNPqIi9pTOPGGtnThhBvTSXVHpPa7J4JfF67C+rrid1aMd+NJqa4q7a7y0v7xVzgJc0EBWolawNZuxZZbbhldCtOQ8IX41Wn6Trlfjis+r76undcosCYp0BVIFhDtKi/leVfvd/Xe2nZf2VexEmw1JxTTgeUovdvVW6bJ6ZyvAYP7np1Or8a/CrDtezY7WBRjrfdG16VHA0CrcjHptDT6WhVANpYkhPnhiDrAVVAGp9SOA0iPSCcdK/hGtMqfi9IRHwSkwbNQoivxxo99Mt1ZvmvMVQHvK5g4qr9Sfc428OxGBaFLECgluGD72GOPBciWex4LkJZWrhzL/ZJO7VijwBuBAl2BZAHRrvJYnnf1flfvrU33ld0CpMqv17vssksUoVy/nvJ0PfBFqp1ADOAdPzqdNm5lzTMAVM31zlMDFFe8jvxVADprsyXHK6fZlXdBV/dLSvmYteSHaQQ6gXHnSKu8Al9zS1ZAUkJ7LvE9L94Fgq7X/krw3HjVPwHaX0mvxK0daxT4R1BAsFzV75XyIriuywBr+ZXR0nNdlcyuHhmuaJcVBc0029puSCdedESqG39OmhwV8WR6FPvBvmNHr1QtE449MaVJV6bf5ogrPY8bo8eiw772MGqMhouH0xOdviGoZrzLuFdlhvg7P9WjtGQFPDUTaJeR+HYfPC/XBWgF5hJfEC6/6njVcf7OPNWi1yhQo8AaoIAyXMC1gG0GwazVFhlf/VmZkC68QfA8LX37RlKf/AQQh412zBtjFEzNtk7brtp2e+NAw/AaCREDX74ruBaw9LoQ33ueWwnlXnULV+75TkeGOswK2nhqoUaBGgXeWBQQQJXXAqQeVYyq73Vrjqu1z1FjYhDsYVXJCf9ooL0xffu0SZiM/36zQFf0ihlfPhRMi1ZbwHIEy6KtKvi8hFJJ5bp2rFGgRoG1lwJrDGTDw2DfdFxYCEansfT3L1qFT9eN1+ZBsiO7EXs7faMbtOqOES/4onQZBM5yvip28Xn5rep57V6NAjUKrJ0UWCNKkyP6ukideEZl1teodOoZdMax044/p8Mwarc9R8uDXquHoivYXhk06/SNUUem4wT8rxV7sV9dwTXs78xIw98Zvxa9RoEaBWoU+DsoMCmdhhvWaSu80clVy2cTLkxtT47FT3Z0qmuPnAfNqj2rVkjmNV1e+UHyM6m8uuI3APw7b0iPYpMd3Z6RE1nv4AZmqBwRtuPy5qs9/t17fL3ahGvxahSoUaBGgRoFygZENUrUKFCjQI0CNQp0CwU62WS75Qu1RGsUqFGgRoH1mAI1kF2PK79W9BoFahTofgrUQLb7aVz7Qo0CNQqsxxSogex6XPm1otcoUKNA91OgBrLdT+PaF2oUqFFgPaZADWTX48qvFb1GgRoFup8CNZDtfhrXvlCjQI0C6zEF/j95nA/5pZXidgAAAABJRU5ErkJggg==)
0,0073 mm/mm
0,0022 mm/mm
0,0065 mm/mm
0,0027 mm/mm
0,0014 mm/mm
Após um temporal as paredes de uma residência se deslocaram fazendo com que uma das suas janelas se deformasse conforme mostra a figura abaixo. Sabendo que a base da janela não sofreu deformação e que sua medida vale 3150 mm qual é o valor da deformação normal do lado AB?
![](data:image/png;base64,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)
- 2,631 x 10-3 mm/mm
- 8,147 x 10-3 mm/mm
- 1,109 x 10-3 mm/mm
- 7,589 x 10-3 mm/mm
- 9,720 x 10-3 mm/mm
Um suporte rígio é sustentado por um pino em A e pelo cabo BC, a carga que está posicionada no ponto B provoca um deslocamento de 15 mm do ponto B para baixo. De acordo com solicitação mostrada na figura qual é a deformação normal do cabo BC?
![](data:image/png;base64,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)
0,0054 mm/mm
0,0075 mm/mm
0,0015 mm/mm
0,0254 mm/mm
14,001 mm/mm
O guindaste de um porto eleva a carga conforme mostra a figura abaixo, o cabo que suporta a lança do guindaste tem 12 mm de diâmetro e tensão admissível de 250 MPa. Qual é a máxima carga que a haste AB pode suportar sem sofrer ruptura se na posição analisada o ângulo  for 35º e o ângulo Ô for 45º? Determine também o peso da carga.
![](data:image/png;base64,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)
FAB = 57,12 kN, Wcarga = 0,47 kN
FAB = 24,32 kN, Wcarga = 1,24 kN
FAB = 32,75 kN, Wcarga = 6,94 kN
FAB = 95,36 kN, Wcarga = 3,69 kN
FAB = 44,25 kN, Wcarga = 7,81 kN
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
![](data:image/png;base64,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)
- 2,631 x 10-3 mm/mm
- 8,147 x 10-3 mm/mm
- 1,109 x 10-3 mm/mm
- 7,589 x 10-3 mm/mm
- 9,720 x 10-3 mm/mm
Um suporte rígio é sustentado por um pino em A e pelo cabo BC, a carga que está posicionada no ponto B provoca um deslocamento de 15 mm do ponto B para baixo. De acordo com solicitação mostrada na figura qual é a deformação normal do cabo BC?
![](data:image/png;base64,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)
0,0054 mm/mm
0,0075 mm/mm
0,0015 mm/mm
0,0254 mm/mm
14,001 mm/mm
O guindaste de um porto eleva a carga conforme mostra a figura abaixo, o cabo que suporta a lança do guindaste tem 12 mm de diâmetro e tensão admissível de 250 MPa. Qual é a máxima carga que a haste AB pode suportar sem sofrer ruptura se na posição analisada o ângulo  for 35º e o ângulo Ô for 45º? Determine também o peso da carga.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZUAAADqCAYAAABqWNibAAAgAElEQVR4Aey9Z3Rd15UmuF9EeMg5BxJgzhRJkVSgKMmWZEslOduVxm23qmumeqyuXuU1a01VzZ/612tN2V2r1xprVvWUq2y3xvbYlm1JloNkWxaVKQZRDAABkABB5PRynu/b9x0QhEiKFAESIM8hL+67+dx9793f2dmVdZrYZilgKWApYClwa1AAbF1cLpdwnkwmJZ1Oi9frFb/frzfI9VzHfTwez+xNp1IpXW/2m91wDT9cDqZkr+EQu6ulgKWApYClwFKmAEEjk8loFwkmC9F4zqtpC3O1q7mS3cdSwFLAUsBS4IZQgBIIp5vRLKjcDKrba1oKWApYCnwIBVxXJxhc8iypTExc3rSkpEguKLcuueuCr3Qv+BntCS0FLAUsBSwFbioFaCdx49+lWvc396oUY6SZC/O98s3uSx1xbesufdVrO4fd21LAUsBSwFJgSVGArN0rvmziMr3aI9/oyqohn7YSTs8/eUCe6rx+YLGgchmS29WWApYClgLLlQKACf1Hz6+rbQ//zTdkjxyQ97uu9ohL72dB5dJ0sWstBSwFLAWWLQWyGbJ2v+TJxNXfQ9f7gJTrbxZUrp+G9gyWApYClgJLigJqJxF4f/l8V9mvbvnmPzwtsucb8jcPX+Uhl9nNen9dhjB2taWApYClwM2kQPZ6PIJxsHqPZaZFPHWXuA3aT1zy1PwtT66SjvnrrnHZSirXSDC7u6WApYClwI2gwNxgw7m/eW0T2GiM7KY/XG+2JRLwSUbU/KXbBw312ezz8uTTj4hr7zflepzALKhcmuJ2raWApYClwE2lAFOm0NDOyQAF1VoEkrng4Xa7Z12E6Ups0q54vNei/uKtPizfev5JkQNPyX954aPfulV/fXTa2SMtBSwFLAUWjQJezdPluPu6XG7JAExSKceby+P1OO7AwI1MJq2/HXDJyQkAHzfVZ6l82FWuoYud6+ABdn3NSirXRz97tKWApYClwKJQgE7BAmM7AYWNUorP69PJjXVuNwIcCTYZZ0/OKd0QZJj2i5qvyZERPfaq/6gH2B5Z13nVR3xgRyupfIAkdoWlgKWApcDNp0Aql0UYYogDLwCVRDwuY2NjMopp6Px5GZ8Yl0gkKoUFBVJaWiolmGpra6SpoVkCgWLxFLVe/Y10f1P2PgIPsCefl69dh7XegsrVk9zuaSlgKWApcMMo4PN4NYBRpRVcNZPNyMzMjJw7d07OA1Cee+45Od3TI729vSqdtDS3yB077pB7790nleVVUlpSrCBz6Q5f2vtrzze6JHs9iIKL2dT3l6a4XWspYClgKXBTKZCBZMKWzqRkampaDh06JAcOHJChoSHJy8uTFStW6Jyp7Wm4Z32UaDQqIyPD4vX4ZP99+2Xj1julujRvQe5jvgfa5U5qbSqXo4xdbylgKWApcBMpkIRRPhaPKWBEoxHp6jolBw++A4CZUkApKyuTlStXyPr166S9vV3q6+ulsrIS+2elu7tbBgb61XPsRt+ClVRuNMXt9SwFLAVuGwq4JJq7VycBfdrlVF7MMNr9oi2CnMJI/gj7iUAy0bmrCDYUkXdPHpF3D74rvzzwa9m0aZOs37pB8iGpeOBKTOnE7/GrgR7aMazPlxgOOnbkqBx66x25f+/d8tV/9xVzqeuaX62kYm0q10Vme7ClgKWApcBHowB9uy5SFXEFG9VeAAwBSExPzcjPfvozGR4elpUrVkpra6sU5MNNGM2HFCw6ub1QgwFYEgh8BCixFDD3G+o/J7/97e+ktqZWHt7/gHh5HLanmWQy3/EzBnxd1Ex/vKYvF229ugVzjqvb2+5lKWApYClgKXD1FMhCQuGk8DGP3c5n3EitkmVuFhfH+h5JxrJyfnBA3njrDRkcGpTVG9dJbWODuBGj4oOkUgjwyCQSMjk8IsGxCUkmoCpLJSQJkaUEqrEVqzrk1OluOfL+exIMh9EPoBQAiwZ/ykmc2KO5E3vK6XqalVSuh3r2WEsBSwFLgQWigDoOE2jI7dGGh4blxPETUl5eIVVVVSpx0CgfiYWkuCQPLsVDMgBPsLHzwyqdNMD7q6GhUfIANslMXBqbmmBzWanuyP39/eLz+6QoEBAfJJaMrnWus9B/LagsNEXt+SwFLAUsBWYpkBv3q7RCvHAQg9HuxA9KCTkMwS/Djh0RZmpiVN547VVZ0blSjfAJQIEbWSJTCG4MBoMyCkCZOD8oXqi9wtMzcjoaEx/UZkUNdbCzeMWT75etO++A9JORo8ePSXN7KzzJMprGxZQq1qh79iMnNZn115PMcp48hrPbZilgKWApYCmw6BSg6STHy/VajJzX3F4wvmdg92BQ4+EjhyUfkkVRUZEa42lDYW4vSiijo6MShlpr7bq10tTcJBMTE0KJhDEstKswZxglnFgsLqdPnxZKOdoYbr+IzYLKIhLXntpSwFLgNqeAC5IKpiwQhBOlEp2AJpQKXODvauogmbgBokMylZVwLIlAxwmJRUOSyiLfiscleYUByRB48G8YsSqn3z8mxw4elFIY6Tuh6qooLYH93SshgJEH4OOC7QUuYlCFpWU6OCNpXMgNQEpj2TTtg+kLEY54c52YY0HFUNfOLQUsBSwFbjAFlI/PkxzI9JM0wE9OSklJiUodDHbk7zjStDC/FyUUSirvvfeexq0UFRdJdXW1pmqhaiyE7QWFhSqdFBQWaI6wWCymkpAH+cMWs1lQWUzq2nNbClgK3NYUiCdTjoQCKYSJHqny0qzC6RTkjSwFCTB+t0bCk1CMjM8HGHznmWfk7cNvS2VdpSTTCIKEZxcN86lkWooLCqW9pU3KigqlNFCIZb+cPHZEnvvpT2VidEQ2rt+oerUU1F+hUBDqr5iq0IqLixWUEgioXMxmQWUxqWvPbSlgKXBbU4A2ELa5xbRoN6G9I5uGDxai39kKkBCSgYxMXz84eF5Onjgh4+PjUldbq0Z55vsqKirGfvl6LKUSnjsNqYXHMbq+tbVFysrLYXNhBmMnVf7U9LTaVbg/bTR5sM/4ESC5mM2CymJS157bUsBS4LamAL2oCBtZGk/UxSoJhp+W/AKkrfdCcnGzPoozhWE/OdPfJy/88hcyMj4q2TyXdGxcDVVWSLoRbyIJgA6iFV2QVlrrGqSqshzHpiWRikpdfbXs2b1L1q9dI7UV1eLFhekRduK99+FT5pLNiMT3wZ4yv2n/2MfcNBu0Mn/Ha1g2PmzXcIjd1VLAUsBSwFLgaihA+4gHdU+ILJRW0ikCCSUJKL+g6nJhPo1kkWxdPX1qI3nllVdkw4YNUlFRpDm+/nDoiKa7Z8p7Shx+eHGZqpDRSEQi4Yh6hFUgnoWSSyQUUmmGOcLOw+U4ClfjjRs3qr0lClsLPcPcMOgvVlu8My9Wj+15LQUsBSwFlgkFXJBOUtkEnLdgP6FaCuiSySQlBTsHnawYJxKNzcjZM2flBz/+qZw4eVJmQhHZun2zbNm9HSouL1RbpTDMh6TrveOSbo9JZ3OtZOMJpGbxSXFpkQRKA1JQUiDlnjycOyXuZEbiwbCc6eqRjtZ2aWtsgv2lWL3GMlCV0VCfyQWkGEevDPrBBiczbbnNzsI1/rWgco0Es7tbClgKWApcLQVQ1Jcwgr/G0oA1kFwSYO7Hjx+X948dE09eAUDlDDIQH0REfIN88rHHZceOHVJQ5thZtmzZotHwb7/9tsahlH/8Puno7BQW8UrBEWB6ZlrtLoHiGthXMhKJpuTIkSNy7Nh78qef+bzsuvNOXe+GeScAcFnsZkFlsSlsz28pYClwG1MAEewwzENekcmpSenrOi4TcBVGtIh6Yg0M9MnpvrO6bu/du2X16jWyZt1GSBNuCSUiug+BphyG+EJvkcanPPfsT9Uw/957R6A+EymvqpDp0IycOXVWek73yHTEI4WF+fI//cmfycfu2ecknaR0kkiq6o3qN8c94PIhKdcDDNdz7G38othbtxSwFFguFEi5aAhnc3Q7OQ0PZIfcMq3U3Go4bdZIFbpakgAFSgA+MHra2pMwlNMewgh1j9EXQY+UhdTgoo8wJ0gRsVBYes+8IkHYOKanQ9KIZJD9vX0aK9I/OEq7uxw4eEyKyqtl175HkDBys+bqiuE8Uzg2nHbcgd15xQCKqDRvqhd3ZUZ6DyNFfmEZ5J8CiSa8KMgVQYr8GXnvrRNSA2+xbbu3ocbKWmlva0FJ4YB6gvFO3Oi/eqHxd+5enUT8zn0u1F8LKgtFSXseSwFLgVuWAn6fAzSEH7+fXlQ5TypEv2vwCTa4/BfYaQjG9wm4BDNlyiCmcDim6eurahpUVUUX4tFz54U2jrq6Otm8eZPUNrfC7RfSCYz5BIN4KiyZCKPgBW7BldJ7+izsLzEAT4ceV5BfgIDIYo1DCeO4BoDW+nXrZe2mbdLS0qR5wui+bNrV1kMx+3/U+QUqfNQz2OMsBSwFLAWWMAV82VwEeU4iyc3m9NgZtmfh6us0VMZCoy1EW6JQs9GzflYKQYvKnGF859wP12BnnzCkkWmkqj8r5wYHJTgzpYGMbTCUn+rqh9opX8bGg9LWUSm1DS1wGZ6Wn/3yJSR83CVbdt4pdcjdlfG6kJaFqeuzMj0xIuHkBCQhr5zp6ZU4Iuy9cD9uaWqSqTNh+e73vif+5DRSuqSg6ioU1qffvXOjNGF72hVAsKM/J4c5XmcMqmR/Gb/CaTEBxoKK80rYv5YClgKWApekQC5+Ubd5Z11xIQGASUs6DhdeqKpCEwoqDFikhBIOB9XNl27ALS0tcOctlxnk3yJDpwsxgxJpK7njjjukEQW1mD04hvryPCWlGEbBs+CWF+5hEayfRLJIvy+q10iOu2TXrl3Se+xNgNh5aNrSUl5RLp0rV0Ov5UYWY5+eZ46Qon3ntedKLpe82QVYaUFlAYhoT2EpYCmwhCmQdiQRKKi0k7MKodwPJnpkyzD5IxqN6s7ckVRckEpoENe9ACIEAMlJKkePvCNnzp6VkeFzUIv5pAzuvR6UTcyijPDkVBAMPyB33bUXxvRqqaytQRDjaXkGKVheOvCqfPYLX5C2NWskCnsNW8KVluHJEQQi5iQJqMHeOfimxGNeYYqVifEhOXLokHTWrpP/42//Tr71f/6DPPvTZyU0E5QkXIwTyAvmByDNj3EkkDCz8Y1qFlRuFKXtdSwFLAWWJQUyYO4e2lGAKlRx9fT2KoiQibe3N8KA7wV4MMljAkWw8iGB1MuaNZ0AGSSBLF4J+0iRBCNhOYdYlG9/+9syMDCgwY3r1q1TySEKSSQaRQBjfp6CB7MMM2dXJhHWxJIFBQSUCUhDIXn44Ydl19q7oeZCRH11FbbDCQGgwdT4BBRHRAFAAkhd8DwgoMyXThZT9cUHbEFlWb7mttOWApYCV00BN7yltOXYXfZitme8vtzG2DIrsTgSTlpGJQh7CFPOT0xMIrFjl5yBGzAzBWcRyMg6KPW1KySBfF55vgLUkK+X1uZVEqioAJMPSAL1TOLBhPzmN7+R1999Tzo7O2T/I5+UvJJSSUGC8CAh5MzkGESVmNpHxqfGZfDcoEhoWkqQ7j4CsCIglZe7Zc+OXbJnww4Y7FNaiMtLlRbUZEwe6TQACbrtgdqM6jPaUuarvQgq84Emd/CCzC6m7oKc0p7EUsBSwFLg1qHA+XMD8vvfvwKbhl+Ki0okhiy/lAzooTWM+vAs2dvZsVpjR/y+PES6w1EXcwaDxCB1DKH2yQ9/8iN59tln5bHPfQpSzBqprq1T28k5eIZl4epbgMzDSUg7tMmwjDCTRWYhATEzcU/PiOzZs0f+6LF9UllZwdMCuLyafoWGfAIEC3E5LafTwwLBhPYWAotRfxFQLKjkSGVnlgKWApYCl6MAs/6SuZJ5kpmykZmSqfp8+cpIwU9V2uA2zQ7MZfBgF2NNsJ+LthTmTcnEJDg5JeHItB43OjqMeQbgcF6iJQk1sJcU16KI1rQ0NdZobIi4iqW4ohUnxvF0M8bZmCdybHpEXv7DAZkIR6W+bYVU1DdK44oOiWQSMo66J36kro8nIMlgSsA4H4Hay49DmZ7eCxVWeGpGVrevlC3rNmiqlQCi7411pADqtQTyennhc5xHbwLcAw0qnDE9DE4zS4u5Ki9DH9JhMZqVVBaDqvaclgKWAjeUAkySyGaAhADDiQGKZKhMwJhBmnmCjhcTEznqkB/HZFMAJIz4FVCwPA0VF8vv9vV2yfjEuFRU5kseGLjaLXCdYhTLWtG+GuqocgBWEQui4CR+BD9SBYWKi7huOg63YIDOW2+9BTvKv0r7qpXy2c9+RuramlXCKSuukr6zfWqj8TKFPYz1A5CIGKfClPgswDV59ox6jt19937ZvXu3BPyOy3Mslsb+jjMBLrjkmgWVJfdIbIcsBSwFPioF5o7IydzZKKF4kabEWZpzZhc8uRC9LpmojA6PQtV0BvElQYzuybSRZh4eXJJGhcVhr+xAPAlrxdMNrLS0TMorG6DhYl0Sj0xNTiCxI0AFwBSD5FBUVCDDo2Pyox/9SA6eOCLrtm6QNZswbV4vrnwfouODMny+D9IJpAwASgqqq6GBcxIanVC1FyPxx870ywokgrxnz17ZuX2HFMOzjKIPqqegZHC+uPMAjLgvymS8rw/cG9bdrGZB5WZR3l7XUsBSYMEoQEnEqL4ILJwIDASWTMZNrZA2xBDCMwqVD8GF3ZJQySY0M6mSQR+8uoaGhyUfDLuqqkolCko60XiBqrxqamo0+aNzJqOEEi3z69Z0LS4kbCxAkOOUHIDL8PDwkPT29MrXv/51ZFUpcQpzQS1Fl+QQPLmKigIavDg4eA4OAOMqATEeZXRkBNdrlLvhinzH9juktLhQL8la9W51N3Z6sFT/WlBZqk/G9stSwFLgqilA5s9mAGXub3pIqarLBY8pX1ZiySkw8QnpH+iSc/CyIuD4YVx3IaLdl+eVCDyr4tBkNbd2SH19PcClCVmC/Yivh0ot7UXaFMezKo7YEPFkoBrzSQwlf1m/JAAD/i9/90v59nf+VWuhfPHLX5CqpkqJIyV9fmm+9A0OoI/I2hXIA1hFZBjBi2OY8lGDXsJxOdfVK5WBUvnMQ38k7R1NUlNWqXH9DGXJc/Me0QeGyWBSCQXSCiUW48FmVHq8/5vVLKjcLMrb61oKWAosKAVorGcjwBjVl65IoL4IDN9TM2NQb81AUghr9l+6B9N2kUhEtfhVVWW1Sh3QYyFepERqUBCrAnYTb34R7ByOe645L4tsFRSgfgkukECsSCqbgiSSkpdeeklef/0NoVSzYsVK2bplK+JV/FCLOfXik7DfeAByeYhJoVcYMxYzgn4a/Ro42Q0VW4Hcd999smXrFq0Oyf4DMyB1QfoCKFJSmQ3q58Yl2CyoLMGHYrtkKWApcG0UoPqL6q65gMJlpjsJ+MPIGDwmfd3HpLurC5JKUI3shVArtbSUIzfXNFKbxKWgqFw6OjqlpmolDPceAAmzE6MfEANcPniW5fyuKA3FcT1mKvbBgB9NwjYD1t/V0yP/8t3v6jW/9MdfUtfhFOw2ZYhHSXrScrb/rOQXF2naFcaljI+NSgYgAyFHxodGpMDtlwfuuU8evGefFHjh2ZWMAqyyKiXl4fqQo3AVQIyRVCihXBuZbsjeFlRuCJntRSwFLAUWkwK0p3AykgS9qCgJMPdWcPgkpIF8iSFC3Y19MomsShV0raXx/SFEqVN6CBTVad0Spq/P0LsKiShh39eMwLDea/fpXUZQ8XhxPWwMwxWY7Ve/+pW8/trryDhcqxJKY2Oj7sdYljMowOWheg3/8qDmonTCKHqCHrMLn+k7p44E++65R+5EQa0CqNBwI+IHyFCywSX18imo0Oi1xq5kkpRflmazoLI0n4vtlaXALUcBF1REorVKwBWNZ5a5SzJKuPxm3WCc+JeFET2Ff2D/SPvhg+kCHk/K2HMGcta/pe6JvJU/wXzdsJfEkUYlnpjRiohT57rk1Pvvy3gE0gqYezki3Isrm8UVqoL6K4HzNUNS6ZC29k6nF1B7aSMTh5qJ5+X50wAZwJUClpfruRqAkMH9ZOG51Qf3Y+bkeh+VFnfeC2+tvbvEBxArLC2F3SSOAlpxCbj8sNsUw4YyjtgSFOwampR4KIb+RqU4LyBr166VB/bfr2nwjREli/v1QmIBWQBQBBZ6gKGhfx5ILsg5jAkSVW6iJxqn2cQAuvON/2NB5cbT3F7RUsBSYB4FGKdBFVbWk4LNwFHzUCJQxo59OULHkgb40XvKBY8uBRkwWI74iTdd7x2V092nIQXAYI6gQg+M6GWomBhzB1VVxYDHxqZGaW5slQKki/d589XeMa8rH1hU4z/WUpWWxJQHV+J82EFmEP1+uq9Xnn76aRmBB9knH/2kbN4Jby2ou2iYjwNQeAxtJkzpQkkqDHdhqsHikFSSsYRKUttR6fGhhx5SQOH++R6AB/Z1UPMD3VnyKyyoLPlHZDtoKXCLUAAp2bWpIUAhAsNvSC9oZERuuNvCgoDxN0ffyPar++lm9XjSX3CrRb1FuGvx+IwkIlMyCXVSCKnnp8IjkG+mEKkOj6qZrKqiGlsbpCBUrZJHRUWltLa2SVlFlXNSHdnzNHMulNsyd5bVhJJ+KWTCRhjS2cJIEPnmO2/LoaNHJAIV2OZtW3XyFxZIBE4BKYDcJFLdjyOGpaG+QSbgGUbvsDjStsCNQLx+eIL1D8qW9RvkoQc+Js31TXpepmfRqlwE1GXaLKgs0wdnu20pcKtRgConpD+85G2lUcKXI31luLpHCoAS0Yy/jEQ/dfI9BCUG1GbBolWMA6HdgsWt7rzzLrVZ5OU78R48nClRwNrFBy+sD2v03pq1pSAlShLnZKT8Iai8nvnhD+Szn/mM3P/IQ7g+DfKQqAAIk0EU0II3WglS1lOHxozG9DxjpUdKMMHJaeTvKpDH/+hxWdHQguJfsJ2k4J5M12LgCTMjQ2O2LJsFlWX52GynLQWWHwWgsZptOZMKlh0pIQ0mqoNzMFQa22k4103wvoK5RLx5cOmNh2VyehQJF4dkaNTJEuzyJFWF5clHXffwpLTXtqPW+3oJAFiYMp51SPz+Er0u1V8utcu4Yd+AxOEy7C8nqRiBZZ6QkIbLMCPfGQEfTUXlyJEj8v8CTBIAly/8yZdkN5I9MofXJApzZWDAD0JCCcYicE8GyABADr77LrzPkNoe29JQeQ1DQvGiL5/51KcBKM2OvMSawShZHOfNghBO2hlHipsl2jL5Yai6TLpru2kpYCmwXCmQRREqBylg9J5l3A7SEGTc+MN/ii4sgoXYjHgsCjtEFNHpPTraT6FIVgj2icHBfrVHlJQVwdjeKqs610mguEyqUQyrrKxG40Dc8J7i9eg9RelBMQO/zSWYMp4ANtuVyxEW+ySSCXiTDcsbb70h77zzDiSqrGy7Y7vsRNS7B4b8GFRgdEMORcOSgG0oD1IIPc+mUAeFEhOvMohULDNIxVKBKo07Nm3VNPYZ7MsUMnQAiAK0mAmZwJfKQM03B4Qv17WluN6CylJ8KrZPlgK3IAWyDAUHe4VTLLh8DkyMq1Iay+D6qURE4zgS8SDmEcRyOG7B09NDKqEAeWAXacXUJLW1VbBN5El1TbW0r1iFKPVyNfYj9hyMnsZ+h72lUqh7AgDBf7XbeCExuCkZ4IJUaxHQPqy9/fbbSEHfI7//wyt6zBf//E8BDhWSBDrmQ0phTfoowI+3wT6y7+chUTGvF6WwQdRfIYB1tK+QnTt3yAN778WO9N8CYEHioWovHw4AaYBJGMAUKAhgu5VUPuy52O2WApYCtzAFyKDpkUXmaZrDtAEkWJdOR8XnySMrx2icTB0NaiAWmPKismIG83BkBFLIeTl58pD09w8gP5ZfmptbdHtFdQXsERnEbmQRvNiMYledkldYrvYRf34AHl4IDwRTp5qN8GUkEHp5Oc30i3aP3BoU5ErBXkPvMoJNMoFU+azyiBYMRlA/pVBryx948w354Q9+IJvv2CZ/+qUvSaC8FAGP8BeA8f4cUuMj9bEkENviZoEvnJtSCd2OU3BnnkAurykkmKytqZXPPfEpWdG2AnVWIo7hHx3x0ziPxgBK0q8QtVU0yFHXLr8/VlJZfs/M9thSYElS4EqAQknB5/GrXYJ5q1ghkWojGq3pbnvq+HuaqiSdDGumXi8y/tIekkFtEyZb7Ohco7EmhYUlGrBYGKiQPMSCsPmZPfg6ms9/gQ0SWFIALS/ygCmgzISRHPKAvAu7yKOPPSYbkT6FBvkMQJE5vCiRsFHaYHr88akJqOqGNYU9nQUiE9MAyUFZt3q1lgJubGpSwKBkQmAzMHcd3V9yh16g5pLrmu2QpYClwHKigEmTwj6bolkm0SMlFg8YcT4lFQQpplMzMjUdhH1kAraShIyMd2keriQyOVYh51ZleTVAIwAvLqQqgQRTU79WqiorJb+w1CEJxJE0o8ohAQGbnIC/HIemrYTN5XJygWXkym5UhrEnIbH4fJCY0Ff0Vjl+d2+3vHbwbalpbpAN27dIGVRt9PByQSSKweg+NDqiRnUCI+NRQtMzWo+lAKqsCApsRZCxuLOxRfbtRsbh9VvUKB+BEb+Inmi5fjq9hdYs94MaNG2mY2Z5mcwtqCyTB2W7aSmw1ClgAMT0k9IJG+eUSAoL/ZJGnMnkyCiKYB2Xru4uAEZE83B5wKgp6TD4j3EnVRU1smHDRqiM6lE7JA8VEZMqwSgjxvmSABRVt7kc1ZHRpplrX8uc4OBHpmGejxHplFbYdaZXodvwyZMn5cv//iuadNIfKFB7zGQIgAEVFtO80A2YoMLklKzHwnuYQrJKlgauKiyST3/609K5sgPG/CjqyvukcI5r87X0c7nsa0FluTwp209LgSVOATJTMljaT6jeIUiwcZmxI5ND3VqSl6njU3APjodnYEMJIcjRJXUI/uvsqMa+SEsC5ndsASUAACAASURBVF5RXi+l5U0AlAo9Rz7CPZj+PYVYDvpx8RweSBXGQ4ogYAb2s55lWYe9IS/kpVtufX4+CmxhD7r8hsJw/UXfz6N2/MsvvwS7Tr90bFgrJTVV4kFgowegMgnAGIGai7YQ9nVqFPeBGBSCiAv9S0WRmmV0XFbDdrKmoRUSyia9PoHHqNoIX2moz0gjI6Fc6LfTXZM1xllaPn8tqCyfZ2V7aimwpClA8CCTNYBCFRhtDVSLsZ04cQKj/uOwlRRJUUmhppmnoikKMKJ1m0kYGxtXgNHSQyxfPAg6xAlRWXFKSqoqVM3l8eeUQ0ABnlbB5HKgoVf98D8RgAD7nAfbShHjTaam5dixY/L73/9e+//kf/5fFUCYRmYCHl1h2Ery0DcCEVO2DMMQH0fFR4JqDDaYEdhUMkiDv3r1Gnnk7vuUJqQL848RTOhiTEM81WW3YrOgcis+VXtPlgI3gQIaDZ67LtVdzBLMkf4MRvEckQc85xFRDkP2+WE4S62StYgtqaxuUVfaLCQU1nx3E0gUMMiygRYwbZTQdZdsGAgCAUUlEhdiXpJZuOsilkVjOxDnISYNjEm7knNXzgksl6UI66KwJWBTOXnyhPzh1T8oqNTUVst6pFGhysuLfRidH0W8ihcOAvmYBs6dgxtxGHXsYRcKhtVLLD4dlobaOtmxZZvsvnO3FEH9lUJqlixFKjgfAHd1IswSYNhyMKn3rSt468u4WVBZxg/Pdt1SYClRgN5OlEzI/CmljGAET7sEc14xQryubEra2tpgd4A7LdRhpWWlqKzYgHQkBBLYRjCaV05L/ossvAQXeBwrE2Y8B11umc7EB7sEG8EEfrvYgn2vo80AEJjXa2rayc9FKaUXMSmPPvaobN++XVKFeeqZRhsKY1AodQSDQYkCLEYR4OhD1SxNvQJ7ShLqMx7z6COPao/ScCn2Qm3GLtKN2IffTM8SRqDjrdosqNyqT9be1y1LgYttBGa8a4a3l5s75PCmnVG5iTnMuh3VFFPNs6GGIUbOTOjIaBKmVuc/J27DqQgCGwC2MOLblXEyCvMopjIZOnNczp49KwN9p1XlVQuVVTPycRWijkl//wkZkk1y98a7ZdWqVQo8vB6j0NnUqK82GNN/btT/ut2L1UzECFFGwcZJQclNAJjcIVljlHBOqcfxTxriQSIDTzDoy/J8eTgC9wZ7hodEwDY37iMKw/uxY0fkv/7XfwLjz5f/+T/9R6lCbZQ06tUnmFYf/cxQUoJHAFVlp7v61FCfCSNzMc5xHmWAuf3Ln/+S3H///QqOCdhQ3IhzIQXZ8ggubNgvgH6YfjsrsTgrspg1y3NuQWV5Pjfba0uBRaFAhmABxsnRvwMfNIw7bDGK6HCOstm82CcWjyKhY79Mj4/AngC7RMaRUphpN4b0KlHEcFTDPXgVYjSam5HjqnINouBrVRVGEKENhk0BRX8t3h8f6rubgEu9H1yfZYAZwU6vtZ///Ody+Nh7qPzYIe2rOjRGhv2ihDUVnJIgACIPhbZCkDZokKckRsmF93oUucCqkWL/gQcegB1ltdpMCpBbzI+4lTkQuXg3t8TObEFliT0Q2x1LgQ+jgMOKuRdZ1oUl57j5y85a8zeLBIxz93PNDo+dAMJ8twMaPDMZLtVOzEvFDMJM2phBASwyVBbUmkRQ4hm4BfecPo1qhhPw3upQJuuBq1YKhalCKa+4EfHeAsmkiNUM/RUKJFQfGUBhX2jI5+h/sVoEHmasCc/7SDPqHQBDicObD2CEcZ12lF/++tdy4nSXBijesXsXwK8ONhukTAGYRACQVG8xWDMEI/4YcoAVQNIIIgZlBrm9ElCDbdy1Vx64b78EvAjwxL76WDSo8vaDFQsqi/Um2/NaCixDCji13qFSgxThQVS5FwzYtAzsJb29vbCTnNUyt/lwH+b+hfCYioGRTsDVtrW1BeV0V6hrMV1uWSQrUIIswYxQBKcloBCUaLg3cS1zAcZcayHnNJazqXYJfyggUQphwseBgQH5x2/8o+bxeuJTT8iuXbvgAVakUfysO0lnA1eBH44FHpVQZmA3ScGza4KGeTggRAAon/zEJ+X+u+8VPwCFjQBJ+wnvz4P4l9utXXhjbrc7t/drKbBsKWDsKJRKjGQyb365AbLLJCl0JAMjqRhzhDeDGiNkvLoZLsGRIIzSE06gn8QkODooY+f6ZISR5HmFqt4qKy0TThmkki9F0GJFXYtUVlZB3eTV7L5B5NMiJy/wOtcmsyVTJyARXMiEF1MFxlLDuAAgArnBAHRslEAOv3dUmCjyRE+3/NldfyZbkeixqrpKonAGCMGQ7oIB3q0xLLDJADTHELSZRcR/HMb4wd4zCpgrO1fL3bvulOa6BgBrDLXoUfYY9+fHpE8E173dmgWV2+2J2/u1FLgCBVQwUd1XFkASlHNwm+3qPq4j+vICAANcaX0YfQcKAzDWQ6MFm0MbsgbX1tVJWWW1AkUWtdRZD4XQRybu8zmqNcZuEEAIJGyUWBYTTPQi+ONHanka0Zmri435ut56+y158cUXNY39X/7lX8qaNWtgKHcDQEMAEh8SSybh3RVWyYo1TkYAKJRMCCqTcCFm32l/+cKnP6vxJzwvswyz0QlAQQx09ObuVTfcJn8sqNwmD9re5q1DAROBfcU7uuwA2fH+MpLJBUuyc0A2HpFzA2eg/hlB1l/UMsGIPh46j0jxSbjcegEqAc0a3NHhF4R1qJqL5XmLUcvEhbxePnhn0RLjeI5xjn96ahc8r0wqFKfnBJcbASrMBZaEIwFllWmopQ4ePqSBjZOhoGzZcYc0trfC7Rf16uGpxTYNGwwlFbow+2GcZ8DjNGwn8XBUQmOTuEcXcnndJXt275aqkjI1zKc8jlGfsKUVLCGmWElFyWn/WApYCtzuFOg70yvvHzuKkTcCD0uRFRi2k4aGehkdmtKRO6WVVZ2rxFda7pCKwYZmRA41l3qNYbSeyf2mDSOtaqALtUMowRBUaGNZfGABoEGiSsJIz/Qrr7zyirz++uuyfstm+dznIGkgjb32AzAwNjYqY4hXKYEdKA3kZcZh5iJLQlqJoxAXMyavXLlSHnn4Yamvq9e4HBMZz0h52o6YrZgtCTWaZ45NyiHWrf/XSiq3/jO2d3iLUYBR5Gz0Rppr5KaNgsvqSaXDZHpWgbljoh0Dzk+OwxgPdudsKyiPS8Y50H9aEyLOTI9LCTy1Skq9MoH8VelUAqqhtbIaHlyugiqosmAvANP0MWDRlONlmDubkY5QjAuDeeS0ctRN3EQTTRaeZibq3gCJUYVxn+tpvG8GXlIdR9WUsZ2Yc05MTcohuP4+99zPFTQefeJxWbVxnRSUFEsE98h+jU9PShCqsRIEZfIc54eHNMgxgVLAAz19qv7av+duefTRR6Wxtl5PTdWaimK43wIkl2QMkbosYyvT98/SxHTkNphbULkNHrK9xVuLAkZtRBCZa6MgcHDEbaLauY1yg+phcnxfKQGpIYLod9oW0sgSzOhwRr0PnBtAoseoqqlYUKq2CmV5wWyZcp6tFFKLC8ikAYtGMgGQZFXaAJCQid6kxvs2AMXfnEgfggxdlunF1dV1Cnm9ppAaplJWrFwhVVVVuk8CoML8YilIJszPFYHBndIJ41DiSMsfh9sx69szUn7btm1ShnQybATGuWS9Sbe+5C57896CJUcK2yFLgeVBAaqXyM2oVspSEgHDc9PQAkbvdqN6CJIuZhEl7sJvyCqOlJALTExDMgkBRHp7u+XUqVMSDE3ChTYAW0meVFQVSd/pcUkh0ryhaYXUVDWrGsjjh0suACoDiYTCyKxAor+xBMmEo3PTTD0TdCK3ytmWdTkut2a/hZwTQEw9FyMNEVQZM9LXf1b+v2d/Im+9+460tbXJ/oc+JmvWrkWqlLh6bKUg+cWY/oUAhD4zCzFBNg511jSM8tERZBxuXykf27df1nSskny/Y5BXUOFDQDN3b+xdjivCQt7h8jmXBZXl86xsTy0FLlAAvIypQ9goKTCoD3/wPwkwQQyIUUlhO4tcjYwMwQ14VEIz4/DcKlT7AIFpZmZaR+QtLY3S1ISpvhnuwRXS2NAkgdLaHHI519GL5f6QiZKdUu1E6UUbggVvVqNEwkYJxemTSyUwRr9/57vf1eqLq1atlnvuvltr3DNGZRq14FldkpId7SJMPcOaKJMI5KTKMIHkkdOgjxd0ZbT8WgCRH55ttl2ZAhZUrkwfu9VSYElSgPybLrIIDAeI0I7iMHYXhspcFw5PyTiMzkGkGKGRORichpF5Qk6fPKUqnurqGqlFTEYD4ivYylFpsQYpVGrqmrFEEMGE6orgs04DimS4mnMVQFAkC4scqBO/yMhNjjBmDZs9SH+YcXxu9SLMKKlQ/cfGvtAgzxiUd955R3oH+2Xnjh2ybtNGqK7KIJVAioNbtB/ZAwYRb+ODhxeljgkAkEooCGhkMswgoudZhOtzf/QpuWPjZpWEMjwW509ifwZEGvIYCWW+V91swoJFuOelekoLKkv1ydh+WQpcgQJkXuBr4KCYwOWjsRnNmptKR7Q+yfjEeY0tOT/Uj5iLBDIClyAgsUI2rd+mDLSkpEJaWlpRHKsNQX4cfRMxcCoIPAQlnpcgQqYIBZtuQyigrkctK0hHBBEHLNgPRxWku2FtTnJh325Qo+qLfaCkQink+eefl8OHDys4fO6rf67ZkAtLihR4hifGNF19YWmxlCPp5QTsJwZEWNp47DykOsSltDU1y5133in33HWP1kfh7XjhqMDGezfQyeXcHXOD08w8t3g7zSyo3E5P297rrUMBcDHGQ5Dlp6CmGR0dkzGobl498LLW+qisKtEARaZJ4fok9uH+DzCDLtVmbsftVVhe0AkkUdoQUHSRTBG/VRIBy1SPJq4DZyVz5aXnp5wnU79ZjfYTSioM1vzFL34hP/7xjzUb8pNPPikFNRUwyldKCDm8qA6LwhDP1PvcnwW2qPLiegZn0mmBRv0K1HDZt2+f3H3n3ZJBwKObSAq1Il2j3SAK/6WAwMwhZtvFFLCgcjE97JKlwFVSYO44dQ6Dnc0pb04DFjyf15plFJrikUw/T4acBpNiNLbPX6A2jwyqS+VTNZM7VSqna8n3hHRNcHIUTPSM46EEry16c9VUlaqaa3QwKXlNBdJSu15a6xinEVDVTzavynRs3txcBT0iarBdWIVe5lZg3ZzVuvZG/AkjJb8P9egzWTBy5JBh+nq2BCouMlkkW8/ZPvn1r38j77x3WNbdsVU2Ig4lv6ZcKkpLUe43qKBC25MXqi/m72JxLdaAYaEtHzzXpocnUBp4VFZXN8nevXvlzvY1EkCKmSwSQzr3nJPB8KwIJezHfGLcjuouJf6cPxZU5hDD/rQUuCEUIEcCJqnKiLEmGAGTRbLuOhvhigF0KXCoBJgflC5QuzgChm6HRxPjKM6dG5S33npb3V+Lodqpra3R0Td1/nSvLSsrlw0bNkgxRt0oPchD5/NAXbcc/hhnAC9iY6KJKGqcAHyhtstDICYbvbyOHDkqrx04IGG4CNP1d83aNRDKoLSDNKFpV+DNRdBOQMoiAE8HoTLEugimIFKwzABkaLDfvHmz3HXXXinKD0gW6VrwZPQa9s/VUcCCytXRye5lKXARBbLG48msNcN3BxcAErkfXJ/7aTh6Fq6+qpNnJDq8jCSNeBLuA1UUNUhqb8ay3wWGhvQf4g7rVYIhqLjGxuXU+4c1vsKDHWmg57kSCSZodMvWLXvUE8zvK1YVTnExJBNexwhWrHa1DBvi79FrSgouCUCSEy9uCEQjMNN769DRI/Lib34leUUB2bXzHoDKdqHNhKAxPAmVF1RfkAOReRmu0VAFRiCdRKZnkCgyIazOODY4LAF4dt2ze688uO9+lAEOKM1o0Cd9bbt6ClhQuXpa2T0tBRaEAnRXdQMMTLJBaGS0mdhBDKZzKijo7eEiHESU+zQ8kWaCYI5gkvRQoidXIRhfa2u7NDY1wXDupJIvAlNlrXdffplz0iTAJpaEygcut8t4wE3GztonBUja6AGgUxKj1JGEJEcV1uFDhzXifdfOXbJx40aV/kgnSh7MHkz7iQegEYO6bHra8YSbwpyANDo4hHovAKNN22Tfvn0I8ixVsEphXx+Ot+3aKGBB5droZfe2FFAKIBriIkoYO8SsS2lu88V7OYcw8lyz5lJKQXOUXxgYg0EykNHrBwvF73hsQo3GJ46/I319fYhuF6lDvqlKRLprwF40CffgKs2WW16GmBK6uMah78/FbORO7gAKFwheixd/qJdbrD9u0KoAOkBqDunNRhdi5vOaRlLIru4u+dmLL8jDf/RJVXtV1IE+2B6BeotSCmQRCHxZJIRE7i66DSM5JBNlZkJQoyFq3hVNyL333AcJZb+UI4U/Hg5AHWnyCSjwKgP6L9Zt3ZLntaBySz5We1NLnQIs25tMOLEVs26qMPLHYXBnJUWmDUkmpzG6NhJIEfhbVEfrgTKfpmovKioVgkmpFsGi0RiAQs8uMkKqvIh0c4Igl7OkQrsIva7Y+JcBnJQy3nzzTfn+978Pw/oe2bJli6aVmQBoMHaHdifaWgjgsWRMwvDsmsEUBpCEId2Eof4iuDz6yCOagkUBBefWSpSqgyS+2FQspPm1NAsq10Itu6+lQI4CH6Zld9gf+DxElw9IL0gLwjG3Lx9n4cZsEIkbkwCZEHAhJT09BxEBfl4iYHiVyLtVicBEgsfkxLSMDEWkqCxfmhpbpX3FauBG7hPGadKwq3j8uStzSM+G9CxkvkzZwjooqPqhq5fbH2YxM81IKAcPHpSXXvmdnBk8J4//8eclrzgghUXFoG3G8eqKxCWBKFHaniL4HYH6jLSITCPXGSSWYm+eNLW0y+Mff0QlExPASKNWGoBEe40XzgAf9qxNv+zcoYAFFfsmWArcYApQfeNDpDbH3EGkWe/rPaFpRBKJoCNp0K0YzIxZbjlqZi6rjo6VUl1Vp9HwsUyelvBlksM49f7Y1+3zOIACjVqSbrDQdfmpL4PkwnkG4KLc8QJvvsF3fX2XSwF00/Cp9iD4kKqtN954QyWUCIzuX/ziF6SyohJ08GuKlYnQjKZZcYEmBfkFMoyoeQZEEkyi8PqaRPp6nmPDlu3y8YcemvWYI31SeDZsaoPiDwCLbddGAQsq10Yvu7elgEMB8BqmdyePZrAgvYgYze2H/p15qBJIVuiFp5GbOzGZB3ZiWhWOfpORYbiqIi5ixomTmJkaRK2SXjBMj6pj6hqapRyFr0rK6hVQyqrapbK2Da7BNXrtQjI6THSzzSuA9MFLGN6H3748iCmMoTANKjT3Eq/rQRuGiYo36VaoujJBjVTlMb4kCroeQaT8sVMnkKp+SlasWSUd69ZIXgm8tUD7GMEHz4GOEDxfENUrx4ZHAEhIOBlLSGhyWgKQUNo718jW9RulGkW2kA8TzSGgl77bSk88L8452XZNFLCgck3ksjtbCjgUSCVzHlzg3cSNfNQy1waGRmZmEhxmmeARDE6j03MmeUZ9d3d3S2/faU1oWF1bqdmAp5Gfi55JKztWI61IvdQ3tMMrqQh2FTBMXgTnzuDcrIFOJjsLJGCK2KQTeeJybEwzzyj3uY3gQhAmuFBaYzr6kzDKf+97/0NeeeOAfPnLX5Y1mzaggFijRJJxOY9IeO5LevMZTCEZJI+hVMIa86OQWFgSeM/m7fKZz35WGsqclP4Ik597Wfv7OilgQeU6CWgPvz0pUMD08uBFZFZkfD5IJdTdi6abB03SMVU9uTxpjI5HpLenV5kakzsWFUYlnhyFjSODyPkZ6PtLASKN0ta+BWot1H5H3EotkjuWljvR72R5jABnzIoHo/VMFsZnogiQyuvJZedFSEtKo83nfdJMw6ItN5818ORWL5GZARSCAUFgVkJB/wgu50eG1Z366f/nn9VN+JOfelx27N2tJYDp4ZWCuMGARh89xKDyY635IKSSEIzxyemQFiLLwjHizs3b5KH9D0gdAQWEnYBarAKqM205qWQ2KUJueYmSbIk8uQ92Y94b+MEd7BpLAUuBS1OAwoKp3UEOxRT0KahnHKYIwMHvJGqdDw8NSn9/P0bSgzqSDhQgLQjsIJRmGG9RCNfV5uZm2EuqEQUPdYwP9UvmeLGSt/mQKmS2ufKcpI+zK8B4IaEYL7I5q9GnuUtL+zfBmWowQ1MCJ2lJGp05e1aOv/++HD16VB579DG558H9s3YnJso8B9BhfAk9vibhOTeC5RkCCpZHkd8rBXvMutWrkfvsAelY0QEVGexOiMqvQKEu1V8ubdIsq97NeVOXVb9tZy0FbioFUghCZHS2VkEk14eXkTJ/2DNo05gYGlAV19kzPXD5DaC0LgzukFrCyCbcOxlFrEkVvLpqZdOmTahdskLK4eUVDTMl+/L0zrreh0EJheDBaW5jwCODG//tme9pXfkv//uvQqJrE29hgRQhyHMmGpKhYSTM5PGo5Uv14SSSazLXVxIp7OntlZ4MyV179sj+ffcpeDMGKIv9cTGdM00O23wJxSjF+Fxtu3oKWFC5elrZPS0FZingzSUxVB0KAvOSiC+J0mU1jhK9CJGfmZ7QjLeMfM9kklqSt6WlBcGLdfLuiROaOXjw3IgG6xFQ2CjZFBTmQ9qBK2ve7cXKNL4GNKBNhABDdRgBpre3V377298Ko9/XI4/Zjp071JmBkfIEEE++D8cgGBKgzdQrzDLMc1BCYUr7MQDM+uZWeM91SmNjo6rSMpBa1DOO18PgIE898fgEbFsIClhQWQgq2nPcfhSgXolGFRjiWVkxjGJYA/2UTk5o+vWW5nplikUFfknGQvAKq5SOla0qoZQ07ZHnnntOfviDb0tV/UapbVorJcVFUlCSJ5FEWAqRmRgKr4WhqZsJEdFm0+deLAk4G5fOX6P6Yo9OAHyZxv5Xv/qV3PXIx+RuVG2MAHgDpSVS21gvjFPxgFYpetVh/0gYQY2I7QkBbKZooI/FpRjg9J//8q8kgDQsbi/oisemFACwwCAF77kCKi6VALOSii7pcCH3y86uhQIWVK6FWnZfSwFDAQDJ8PAw4ksGlJGx2iElDdoAaFjmtvb2dlmJbLl5eV7U86iSYhTKwkaprQnAY6lBPZGYs+qtt1bJDlQmLC0uUCBKYaTu9VwZVF74C5c88jQ7s0e+0fWqfK3DdGx5zo2BnqBCGh46dEheeuklreDIQllrkXGYnnB+SHJsLMDFyoszSNPCjAK9SGMzgfgT2lGmIJ3QHtPR0SHr169Xw77buMWBtgQRF2KAaANzYoYQz2PbglHAgsqCkdKe6IZTwAUPK21GVWTmzmgcRXZz23Oj85yS3IxI4UOldhBo8nWu5Xnxi8ZiHkHmxnq6jKrmuDUBVQmZEGMgJkNdMoF672cQX3Lu3ID4fYVSXVMj/pICKcwUg+GhCFSgQupaN0tZRXWuH86suHREVq2pQES3T6bgBnv0tddk59p14gbTdMFbK+2JXrT/xQvd8s29nfKUfEO6sl+Tjhf+QlydLnn/+ax86+GL9+SSK50Dp5zBPnsTsxSn6NkAOpKGBQBNdbWmwAc6M6gxHotIAvv0ASAGRobknaOHJYrgxq9+9atS21CvDg0xqLkohcShYvRDSmFW4nHk+GL6FWYbTiMYFMXnJYCU+NuaO+XBPfcpiORkEYC68y6odIJr+WbVmKBV7v0wb9EHqXlj17jSDnt2o94OG95EnRuHvixS8KRxOxm8b+k0nDuyuHfEJ3kycM2+iTdhQUUfk/1zK1KAo1/Gc2ilPjK0eR8aQcSDNCdcTc8j7p/Ffsy3hbwmKnGo2gjb6NVF/fzx4++rAb6yPitFcP9l6nmCzgwMw7QDbFi/StrubYONxaXLhYFy8lGN8NZKjcA51u9gXEYj4ivo+UVDdFylHOcpZGfzhVzqqXTI117NytfMpoe/hb5/yywt6XkEdqdCZBlmrRjSnODCEsUuSG9UJRYCVHvP9smrr74q//K978iuXbvk4594RFVX9OwijRgRz2dF923WSJmKhFTiIz0nURagv/+sbGztlE9/5tOyec16pwwwgkptu3EUsKBy42htr7TAFHBlLu0pxXxbbMyjReaVwUjPkT0c7Tlrrqv7KryAkA1dgQUKEcwxesYBPCYSntF4h0hkVEYRyxCLjQtjTGLZM5AkBpDtFunRMz64sZbLivYyRGwDZMAUy8qqoG4pRk34YnYBF0f6eqjKwAfBPB2JKICU9VWVVfLoJz6BqPoZxFjAQI8iWxyPUihy68569GX/zKq/nnxespcSUXJHJlmPBY2jWjafs6i/b/SforwCBRLG2mQRcEhDPNVQbDEY12lg/84z/wMG9glpamuVnXt2w35SjJF4ViJwdggCQEIAZCaLpLyh4Dw1g+zDYUmGIvD+ysj6VWtl56Yt0ljfoOd1QwIyNhNdYf8sOgUsqCw6ie0FbhYFTLqPnOYnpwYBiwHT5pQH910yHHoKpcGQ8qHPJ6IwWp5BdIPnB+XYsTelBx5IXl8cubcQ0+BOqNolC70DvY6Yb2rVKngWNbTgWI6InVFxBud0GkbVVPUwIj7XSgIlqu+v+UyTvPjii3Lq9FHN6QVMcxoZ/4Xdcyvnzl6Qn6g9Beue/om8AFC5hOZr7gFL5rcfgMICZqQHkthQd6NgMjI2Kn/4wx/k58/9XDZt3CSf/8Lnpa21TcamJ4VecwPD5wHqjFmB9QogE4aqjJ519PBijRlmKfCidszHP/5xeXDvvXqNJAz1Pj5T224oBSyo3FBy24stKAXmj7pzjNiVM5pc2Ixfuo3WE+ACf2PKhvAbqhEuZ9JUn5yXvv7jcvbMWUS8w2MLDInlaGtqC6BiEejtw3BLbZX16+6UirImZXAslFUYKFJJRBMeIkW7i2nafeYivGKuAd1oQE4j+ru0uFQqxmwYdgAAIABJREFUV9Ro+vXDJ45J7/kBZB5ud4L/IPXIFXhh9zf/QZ6WJ+X5rnXyD51PyT9882/k4ctY6plYks3o4w1u5Xp0Y2dULxLQQXy6XTP4MxgJS1dXl/z6ty9rksgv/OmfSFNTk9S1NEkI6eor62qlp/+MBFNx7WsSQE5VVwyeXnQfjoxParBjTVGZfP6JT8nKFR2q8qLdywXvrhSuY9yVb+zN3r5Xs6By+z77ZX/nWQQTXtRyYMKRMFsmaQLqcjp1ogwmRlKznomnAFweDKr3zCk5dORtIAziI4qRATjfjay2IXhzTSA3Vy1ql2yQlSs3a56uLDIEs/mwDxslHFZdZHVhD1RNyjRxWjb+ZowK51T1UHIirMGUimA9VGMEv1/ZvkKaBltlcHQIqjNE1MNdVlAW+PKtW577/gGRJ/9WHu7olFN7npKnvv+cdH8NRvtLHASHW10LSuS2mvkldl7kVR5IcpkMpA0wewaOjo6OyvO/elGeeeYZWbd5k9z/8Mdk/dYt6ghRXFEG6WMQZX4HNHK+rLoKFS8nJTQRBoggEefopEoqCaRgoUPFl//q30kHaDmbcw00T/MfgMyCyiI/2Hmnt6AyjyB28dahgKOzv9hIm4TePgovIbr/Tg2fUWY/MTWmiQfdAAVffjkM8EUaKJcPo3JldYs0Y+RcWlYO4ABDzsV7EEzmN3qNcaI0oh5k2J8MjaBycXPh+gnJzxbK2jVr5eTUaS15y+SHBTD2X/Gj7H5OHExxFF6f+Nweeeqp78tz3V9bFm7FhhQ9PT1y+vRpGUEG4cKCQi2BvHfvXZKEPYyAw1T1HBqQdlRvjYURe4KSylGkr4+h3nwM62joL0damxrkSWOam7mAQqDhM6CL8gfpf/HTsEsLS4Ervr8Leyl7NkuBa6cAGYNpZA5k2JxzcsGqnaZbMHTsHq0MCPsIjOk+Mncwc5caqTFSZ6AiG0atPrjUTkydl3cRONc/9KZ6aFVUNEFCKJe+PtQqL6ySdR3bZMXqVc4xFy4P0QerXM7I3w2vsbnNXIKckCnpcdE5zMwBFXqbaWP/KDlAF0VG2N7WpiqgQuT8aoeBGm5Oc0990e/u574vB6D6+tucEaXjE5+TPU89Jd9/rlu+dhkVWO6iF51nMRb4rCgZcDIMntchgFJKS7L2C+JMJiFx9A30y49/9lN5+8ghgOLXoO5qliS83rxwE2ZlxiCM7wQGDgwIzCPD4zDIRzT1ShSR8yOUYuDttene/fIf/uI/II8naMyJDc+A12PxS0al3DzZzOnOR/6L/rNRYcj/eLF0mTYlxtgkYLejp+LZM2ekurpaOjds03ecr18SdkEPVLB8JnO/IT0fvp3FbBd/GYt5JXtuS4HrpAA/jrmqjCBcVH1gyl4AimncngEzYm4nJlhk/qfpiTE5e7ZfBvv7sRtcV+HGS2ZVgfQoU1NTMoyEg5s37URJ2vuhaqmE99alvcrMNRZirkwXGJOPFCGM9mY6EtoKtKHvl25zVF9mh45PyOc+RAVmdr0Rc9KftDWNgwAucxDgR74u2kFeeeUVeeaHP9B7/8pXvgIpowV5vOBBh/umN5ymr8ezJjCEAC5MVz82PqanZI35ETyvpto6eRSJJXdu3ILM9bgGkeRWbAYnYfjjPzYPPflA5wK8O6T3u+++q55wldWN0t7eLgUBVL/0Q0JWJMIbzwFYDpBuBIkuPP0bcTV7DUuBj0gBfhjzW76vAFKJU2g2gbTmjFug3t7jc8PwnpB4aByj3glIL9Mw2E5DQjkjfWeOwmOoV4pKMhgVo5JiSRtSzLchQLEVAXYdSOxYjfTyueCxS/IproSKC7OPOvF4TVmPcxTBhlJZXCJD/XBThsong+A+AUO4ZDOqr8fn+nohbuVvnxQ5QBXYB49CqKbMnT64x8KtoRedmcxZCSgEBzI/Mrl+2EjePvSujM1MSn1rs2zZeYeqvFzIwhyHvYVSCnOoMT8XXbEjwZCW/vXGIZMGkSByOizpUFSKEOuyun2lNNXVsyKANprUOM0+F6zNyYamO8tvjnvjuz/3/eenkIS9kLTm4GQI2RuoSqT3HAGY5IDJUIFk/rEkwNxzLQZBrKSyGFS151xwChi1lxn18sMALGAU7FyKTMuBF5FJjGb7kSr99KljYNKIHynwKmOjhMK679TRk3lt3LhR06WXltZCqkEhLJ4BX4SfTD3HqBb8RnBCMlcddcLruLi0SAKTATl16pS0tnQoKF7u4o7qC/jxiAveXx9sH64C++AxC7mG6fzZNBMB5mR6bFxP6YNBnq+A8Z08eVLuu+8+zdDsg4vxitp2OQv3bbWDcESOidmJKbnxmCTiicKYk3EWIH/XAw8+KA/evU/qa+v1/NyvCF54t2TDe8i4K3o0cs6U/YlwEvSMzUrbblfCcXp4/gVpb2uXPSWtCCSltA2EvQnNgspNILq95LVRwIy2CCgGVKgq8SYnMAIuoNJeZjDKD6F0LOu2BxG4OA5gicbDmpcL8XFSgxQqNS2tUtXUDEOwGwkcS6SkcqOqnlBdFh9rCvYafqgY2+Jb9KhdBP3M5j4RBDpqy+SkCO/lVFTz723uh20UAwREQAsu5cW3HwCjHDk7oOlHuHciFUMCyvlM8gX5L0/R6+vSwY4aDPnUf5EXvvati2JWGA3CdhnZR7ct1h9KKEbtQrVXz8BZeb/rpLR2rkSBrT0wzpfJMPJ1ufN8EgGTZNP9wUjjAIppxKEEkcuLgJSdiUiVPyCrOjvlrq07pLG6Fs+GVHRp0KkOMnKkNtLJIo4LFotkF583dyP63uN95P0QeAm0QaSmKS4ulu3bt0kqPqnHjYwF5cjRI5IXaJR9+/defK4buGRB5QYS217qo1GADIPMhh8Xm/ntzgegYBsjsE/3nEZSwR4JIl0KQYNeP27onlknnqM7xpvQQ6iuvk49rOgDHI8HsN3pEw2eHq2ieCFo0dmy8H8ppdChwK/Bko6xnkBGQMyAUZoR/0VXfuEnKp08eZHq68IeDz8OFdjTT8tPXgCozNWOXdhl0X9RMiGQKODPARRKmbQZ/ejnP1Up8bMIbAyUl+ozqkI8yfnz58UP+0Ac0gklFKeGSljtK1MAlhgM/F2HjsrHENj4xBOPS31dgxrfw4hx8SNI9ZL0WvS7XfwLcNBBU4im98ldjlIZXbFZGplBoUxUOjLco+rFJCqGnjhxUmZ+/WvZe9edcN3GsXivDbCbHs9fNusXam5BZaEoac+zaBQwkgrnbFRfcfTad+Rn+juVqzFelIcswT7khnLnSQBG4ZYVa7T2O4puKLMrr6oTP9yFYXkBD8e/PPUdo8yg56U9gzYZemZB2aDrcoNffN05ySS3wgQV6k4X7WmOMHNuNBKK2Rtnx+kVw7BbESL7m8EoS2Cwn8bIvaQStiKza27+gobQPymXwRSRhx+HT9jTCLB/AYklL6CKD4xGW27UawSveadfkEXD3KmKZCOY0DX4DLyTfvSjHyGAMSbbUA+loqYaSSBRTAv6f6ZhCYJRVgBUonimlEwiAIvIVFBCEDGjCDhNIqnk//KVJ2Xb1q3SWIv0K6AdwdeovFRthsHDLSOh5J6G2tbnvEZMU8PMASePnwRNz0rXewdVRUhQYYqgjlUb4MHYC9tgobrIl5YXK3DnTjfr6k5QMd+S2baQcwsqC0lNe65FowAZFJkHwYSqFNbNGEKGX05JgEo9il8FSip0VJaEiiqAZI8cpXE0589HQCGaE1UOt1dILibJZJyR2mBQ+T540gBQGJznYqyEUX8t1h3pEFQ7pcbWhvp6VWfQG81dkJbyQmSdndMe/hag74p5Ix+WbwGprrjLnPMtxk8+I9LcuBDzGbEEwPHjxzVJ5KbdO2Tzls3qcVddW60llqdnpjUxZxSxJ5yMHSUEwAmFQzA4ww0cqXBo/6pkMTOiMSZGzPN6ZJAqHeUGAYtxXzftnHPGIqQpszMPDAyoNNLVdQoxO5OQUoaRdw7OC6AT45wokVNK7+7uli3bNl3UdfN8rKRyEVnswlKkgAuJG7WZYTBHQqajuQ8Dviqq8nEhjBxmc2xHcsZ0TIrctWAM2Dl3gDlVTjMEJTLK9tII7w3LyaMHUXvkAMAlrKBRXL1D0sEKmebHFK2Q1S2rZfXWdlUJzA16Ix9iM9/obFFFrPdCitFm9nH5L1rOrYak4qw2fz3Z3H5mxTXMeb/gh7i4yBmkIOnr65OkJw9MdkAOHHhdHn/88Ws425V3vVCba/ZOrnzAFbY6diDmMkP6EwA8mRQZehwMj+6tfJBxSBX5CODk7Q3A+P7MD74vP/7xj+XrX/+6JoksLylDoa2Y9J0bUMNzAtJhElkH6LU0rcGN06r2io1PyXmMyte2d8hf//VfS2lRbmCgzyH3MABgfG/4fOlbxunSLfd+5rIhiAdGNrRsyjmneHPLaWc568nFCeWesWPNuPSZr3etURXyPKQpJQgCM1WJ+XBi0AZixqHW/dG/flelPtJ8YvCcqv0Kkbw0FvdJS2u7rFu7SUGWTirP/vj7smPXduf43F+CCa/H8y9ms5LKYlLXnls9dzh6Yjp3MqMLr7MLnrNOCnTqjpnEkQFdfsSW6E54+emp5crGZQQ65Eh4BLr2CIIXvZBSnJKz3qKo1GOEv2LFilyG4DId9fPD5Mdj1DBL7TGYETb7xZTuTJnPET3L47LvVO/RCLvUGnX7BADSlYzNNB+fGRo9khg3RFuHcXHlvdDTqwrBecVQ0VDSjGE/Pus0JgIS95mcmNTj8nBePndKKttQ4OzuHXfizJcDC73ssv5DWvJd5cRnz8EQG39jJdDSI33IjUa1F1VcnCgBtre3a14zAhETa1J6p21q5cqVKp2PQuKlhLhu3ToFKF6H7secz33/FoN4F96MxTi7PeftQQHjGTU7mscH4XZGhy4wIRfsEWBDYA301XE+GhIGeRXRHCO8z48PiB+SBDHPSCwB3Xo8JCdPsH5JFyr6BaWtrR2xJeVw/6XqAyovAArrjrPuO5kcP8TFHoWxxwvRjP2Bajp+7DRkk7FQzcFpfuPIlccsNkOYf935y6Qx7RkEGMPqmb6Gv/1IaxMKB8HgQvBCOir/FxwHNm7aKP/xr1jOF0k34eUVQj0UenrxHIxDiUHFRSZZCA+4yeCoTE1MI1r+vNSVVcj+e/fJzs2IEmfLXQyayYuakYn5Zs2+fmbn3J5ZI/bO7pCzM80uOz/Mojnn7GnMhouufP0Lc99XI/WZsyqo0LUa9HnjrbcUcKuRjmYGnl8hgPbWHdsVoAcBNlHQk7arHki8Dc1Nwv3GAMqvv/46Kmau1W+C5zeNvwkui9UsqCwWZe15lQJMIc/Gj56gQtyAFA7mqNiBhdwK7JOA58+5wR7ojc/BbZIlYbMovVupqi6CCl0p16BeRvXOOjXAT8e8OtI3DNroivlBcgS3VAHG9JMfN/tOd2dKJgRGgqTpN0HGMABzDLcpw1Gq3oQ/+uwAKrBp0DZFfuuASlbGMWKenp6Sn//8OXnn4DvyxKeekJ07dmJfj0pjrIlCcGS55BTUXhEAjLGPRZB65TxjVcIxWdmxUh578CHZBkChyi0KQ36gYL6L9U249wW+JJ8tnycZvGHyZh2fdxCS68jIMEpP1yttT8NOcuzYMX1PHrj/fo1tmsE+fGeYpoVu9FQhUhrsR/aI8ckp+dKXvqTSDc/Lb4LvmHm/Fvh2Zk9nQWWWFPbHR6UAkvRe1AgaYDW5dZiDyTN4i1UWwSN00uKG3CUN0R2ePtFYWEfo4+ODYC49+EBG9fggEglS5F+5ah1O6ZWy6iapaWhVF9RiyD9GdWA+ytxFlVmb30ttTsbKD5tzqjs40TWUEktFRYXer+kz9zOTWXcz59oXMEE+RtKe4EJ/uRSD8pBm/jdIYX8Q+bxSkETWQ0rpXLvaySaM7RNxpKxH1uQkACUBN+EwVDYxPHvGpKSQ18sVTkh9eZXs2LBZVq3scLSgYIQsaqYXxDWNFIGcBkqGuZm9wKJ13YV92EsMYIzSNfdKoohwbj+d4Y/DBs0ba65lLuqcxey7cHMzUDBAwjNTSmXqHr7PM/D2YvYBDjgGh4fkTQA13w9KH22dHXIO67Kgf1FZqT6LYaSyKSwpxiCsEFklfKoyewtSzlZ4zZUh8SYbr8VBibm2rlzgPxZUFpig9nQXUyCF1CnEFy+Yo4oo2JyCdgc8B8nwRE4hGO4MxPYR1CRnzfHCAOJLsG8ePixmEubL397eLh0r14HpFiBJJNVnSBaINB5MGskPhPubxo+Sx1ACuKkjetOhS8yNZGX051ymLpz3QQbCD5/NqLz4m7EbBJ2598r1N7JR0mTiTn2g+MuSvvSSozTBMr6/+OUv5b//8z/LI5/8hOzff7+quMiQW1pbNWFmBGUnM8juzIqNYRieGVNEAz2llaH+c1INV+NHH31Udmy9w8CAPkvaYPLhdn2rNcPYKVkQSPi8zTqqs2hnY/YBegTS64sg/thjj2kmAtLCvOf8TS9I7r9mzWp9l6LRuLx76DCkxp/rcXv27FFpkfvyG1nM98iCCqls23VRION2AgZN9LaL9UVynmBeRmCRs9CAgo8iEhzThIAz0xNqaMxkpyCWQ2SHpBIKTWPfethIGqW1eSO/GjCuPImGM/LOoS54jyVwKpzHMcYgay1MN2DEHNXxAzNSC39znWHe13Vzi3Aw3WbZPzISMlX+prGay1RhUBdOcOHHTyBh43bakBoaGmZHnYvQtSueEvitrthm5M5szAnUhTkLhvdLAEpXz2m5a9+90tjaAnkkI+1QY4VCQWQLgHcblmMYSTDmZAzBqskZpMsBHaKTiFcZGZWNK1cps9yxcbPKETMAGo64vXDy4HRh2GDkCccmYJbY8Qu/zS9nPms9MKsl57k3uwFBtGyzyzm7X27/2cOwy7UOVIxEpeef98dIVIRlF2jjoSs7BhhJuFa/+srv4D13DnnpyjHw6tKkmVvhuNCBjAKNKMXA5qKUQrUpHCXozMLEmtxWidozpcgpt+fOnfLySy9LX0+3rEYWg0K41/ObQmwwaOUMXOZ1aXZxrgQ4u/Iqf1hQuUpC2d0+IgVmuQGYPhkK0pV3dXVjZNujBtrWtgowf6+U4CMYHR1TI29ra76sgYhfrCK7R/6ArLYH3ngNteJHwIQBPEilUlxULOmEk6iQI3ujUiIT5ofP0Z8Z9X3Eni/aYdRrs8800tNjhwDCEalRUXDkTo8wSicERoIl99+8ebOqMqjOuBmNsT1sjsMF2BLUWDSyMybipZdekigkyz9F5cY18Djyot/5yPZ89uwZuA47x3EAwOdEIGVSSP6OIov0JEbiq1evll27dmkZZwJoCWjCRqM0yzy7ASy3WtOxFm4qD8kxgdaQAh21HDNE/P73v4ezSlx27typEfQdUHd9+tOfVk9H0iGG97ukpEQHHRyUsKkEAqAh2DPT9vat27SaJr8H2lpKSqZUtUrgwkeixyzGn1vvSS0GlW7zc5KhGcO3Gf2TIfBl5TJMtohPABNHUAQ/EBdVJPrFuCSCbLT0UDnTdwqAgQjqAIKz8vOQdt4HponcXKEqGBkrZcP6VtUX+/Mcg7UPtUWyST/OLNLZsRFZhSsRvzCF0Rn0wlnH2Ot35UaUy+z5ECTmt7mxKdxOupJZkPZcJlgSdMhIFrORoVMtZ9QjfMYEZ04c2xJQOM7lX5YMePm3v5V//d53FOw2oHojpRR/kQOIJyG5ZJAqh/smofaKRuJyrn9ApY54LC6DcMjIh63t777+v8nGNeuca2K/QqbfyTUTNW+Wl9qc3wGf1dwBjDGI89kxkNa0FCRPrmNKGrYMjmVBMuwEwmagEpyR92CIf/bZZ6UYA45AcZH8BmC9Zs0a9aKjQZ7vBK9JoE1AtUwphQ4sbFMwzLvx7RXjuA6oU//lX/47vkefvPPWm9KPrAZ//df/Sa9HSYjncWNwM7elc9+0F+8a74fPnv01oMX30LwXc4+b//vis87fapctBUABvmBGzWQIYlx49eXDyjxfHl5A5wPiRzWDkRFH2vFoSA21HH0xZ5EfiRgZGV1UjOSAGJ1mUgEFE66jsdqTb5imM7plWnPWG6mVGqSlL0McBEb5VK6Q0bqXp56dH+uVmmFUhsakJz/sAmRZ5rSYjRLS3P7xNyfDWPg7jhE0+3T48GE5cuSIVMJ4zOfH7AWUvugqzInvDPkli0nxnmYwqOBoehoxKb1Hj0st6s9v37BFnz/31SwHi3lzi3Buo57kqcmAeR98bmz8rTno+V1AgiCznts8ueDGLL8XSKdUe7IiJulAYO8dOKu1f7Zt364pasyAgs+CnndUh47DOH/wnYMaWMyYJ+ZPYyVNPid6ilG65UDhVNcpVaOtxHdTCW9D09J4HjpowXulEkxuA58X+89r8Te/c96XeRfN8ZeaW1C5FFXsuosoYECFL6ppfBGdkRiM4vyIwDzcGpuSkeHz3XLw4OsygKjpejAO7pdIYnTkhXSDiHVfXgHcIDulFv70efntGIX7YKTHmakqI5bgOoy41wa1QH4AH1lBhb7gTlVFZ9NsJUVncdn8JT2v1MyHq0wJO5LunHgcp7nP4Urn+ajb+GznMsa5/eW1aTg/DCPw/w2jfBoeX0989jMaZMc68hxIzEBlRfBIYZRO5hdC0CrVZOHxSUSGh2RmdFzKoL58cN9+eeDue1WViR310SsKzem43jvehkVPmzPnmtf6k0yX77ihGY9XVRQBhikioI6ijAcjIkdo/FAQzQ9Gje/mLOKTmOh0GO7U/+2f/km2bN0iTyCjwg9RxIxOLty2cf16SOud2i0GjfK9SAOI4gCLAACEQBKF91weQIupXDjg4u+OFe3SBBscL3n06Hvyu5dfhmYgKPc98IBk8Hzc2CeD58NzqecMd2TD8T6kLeI9sRlw4W/e44e9fy7swMb9bbMUuCIF+JLxXTHMzgBLFoGKY6xh0t+r0ogXXj6JRBTZg/mCZwAeNQCRVq1DzpTuFP8DgRKMugthXHRG3vzunPC1nGool8CR12QchMfFwD/n3c+yEhOaB9dZjm0uk75U/+d/jwZIDP2N1HCpYxdinQEVztkXMhL+psswk0O+8OIvNJfXytWr5N5775WSijJVzcVpY0G8yQxAhH2lW3EYwXvjeA8YEJlB+vpheClVQ6rZv/ceVNvcLIVgbHzuvjk2Ew4peF2dcjfkxYh5KbT5z4Z9Muv4XdBTixHuXTCu0xXehTRDVI95Ea9FWxnvg8uaYRn3TnfpE7Cn0aZGeyGzT/A8PVAdtrStlPUAlFZ4z+XBM5IDKoI42TUlmcHBQfX4ImCfOHECwHFUvvjFL8IeuQaAlJCuUyflDUg/mzdDGqysQIqjt/RcVKcxNoqOITyWqjRmQtD+4Vmzf1CsaR424zDCASDtXnyu5vu/3POwoHI5ytj1sxSgtxLVLuZl4kfEkq59fX36YrsSE86LiOSMTGqXSselc3WnMEliSWmF2gOKijAHiAjzKeHFzKQdg2LWd4FZ8GPJwl6iDSM8XseHSGtnGSMkqBEY7+IMabH2wqHOPsvkr2FCl+uuAR1+wGxcNuu4/GHHc5+P2gyAcU61iVG30bj+9rsH5R//8R+lEVHbOxDUyBgUMpsQyjrz3RieHNd+Qh7VkXoQ4DINJjsKFc0UgvQE9T5qq2vkz//sz6S+CvVQ0PgIE3DgyEPSSNMMeHLZ3Ld598w+N2s+n/amf1xPieX999/XoERWYaSnXnGeR78JqhVpSyQ4d8NRhRkUdu/eLcWIK6H6isffddddmt7mtddeU2bf3NKOEtd7QVtKpyyR4ANdUQ0T32M1pMK3335bwehjH/s4BmmFqjqrxzX5nSSQX+21115F2iM/XIxXSGtbm0yMTyhwEeDXrV+n327XKRSHw7Y1AIw0BoAcsKQgRSGdt5KYEhedBjZt2iR///d/r9/5hw1qrPrrZr2dy+i61JOz8cXnaIY5quj6SmChP70/06M69cryGqRvr8BoLSVVpW3S1rwa72a5c6fkjw6PBOhwLOq8wGnJJfOjuR/SiSvjxGL43DnbgRFGcKxKMqoic1LApNOOxOJcYPn8NYzocj0mU527j1m+EYzV6M/JOMz1+Lw5yj3JdDl4/ttRwpdMiTXnySQrqirBDHugwXJGsXG4fjP78LSmYEE5YBwzivekKuqSjavXonxyqWo6CSZuMD1mITaPme8YXxM+WdLATJej1c1eT1UlG/vNvnKZAyvm3eL30d5Yo95uBBVu57M8N9CvXnFlCFrshIswjsYxE5Ac8gDi+ZB0ULgMID2G48/AxsIMBDqow/E4iYIXs0/0dJ1GWhtkLkYafEoegfxCtVfRVXtsfFQdIZidgLYYSiNTU3CagXSjzhiQTHhNLlMyKcI3znugow2zRSfg2K3SKUCFQMmIfUqsV6P+sqCir4T982EU4AdCEZ2JAjlSomhPsKFxfbDniDKBoqJK6NbXSx1qvcO8rrpjPS8ZBQqH4ztRbuH18eNwxIxQikkiUWhJIAnhn8sDNRc+shRGTWw+HMQBexYfFhkNBm14+Z0MuW7YZpZjI3O5UjMM6kr7LNY2MjPDyPmbrtlkkL/4xS/k4OFD8hdPPikdq1ep7aSlrg3MsV+6+/vgAh1QNSXLN/P9oAqIthUa9TkQ4fLD93xc7r3nnlkAITNjevuiwIU0/xxukMma9mG0MvvdlDmkZg/isPg4s7BN0OsxnYhI54oWee5nPwRtzkpisAuAUCihjBf562bkf//bv8NAbBS5zQIycvqoTA10SSa/DODSgaSa4wgInZHmqiItTJZIR+XokbelsqxEXYk3re2U9vZ2qUAJajL3zz28R+dJfFuqUkukkeX6gLz0+6MyDHvmquY6efudQ1KHGjSlxaiyOTQiggwVQRT46glO4DsSSI510tPdK+NjE/LSb16S8NgRUFHeAAAgAElEQVQ5lXjy/G49ZzAFCbTvpEowfB9SOMYoCEysi4lpSefeawsqN+VtvPRF53gf6g5ZBPnxI6PGh7/YnI/uwrKuxB+mkzeN++ioPrdCz4F1JkcwlE8qIjvR0dgJbwqjo2Ghc46ACioJY+zoyDnV2cZj06p/9UOqKPKPSXTqHNJq5ElRaR2yz1ZBzP8T3c4RkQ9lehPiuAXzZOpSif67kJflAqvAhtxCsYdlYZ3Lmr/EHh3KYqb3QnsLXmg2Z1e4vOrS8vxD0PiwdjX7fNg5LrU9BB06BwRsHFWTObHRoM73AVYUqBjZP7dMII8XPYhefPFFXX/nfthP6qqloKpMPPGE9I6el7Qf2abLipG9GOofMDWOfF0pZB9GcGMaHoAhSDm+cFQ+tfd+uXv3XtSt8WPUnK/XJmCUAFDm3isgjS8NJu3W7LalAi7g39o0zZDz84p/SUr2nUyfNgx6izGGh67ESn8f45UKIelX6TQ0NKyAQoeHBC5SjP2ZmoV2lSYENtLGQfJQiqD0Q8B2w6jO+XsnuzWynoM92mp6e3ukobFBpRxmbKC6bATARdf0COKDCiFpeiHBqGQyCukSz8qP76wY33Ei5rgpX/HmLrPxAie6zA529fKgAIHCNI745zZ+B3PX6e/cLgmoKgq8zoifXiP0BPF6nJTkTGZ34sRxjKCGVIQuLnJUUwQPMiO6+lZWVEp18wYdyVBlwvX8iCjm38wR99z7t78vUMAACtfMZeaUMJhrmNHrZFhslE7ffPNNlVQ2bNig+v1mMDZmKKYEE0c0PfclU6LajB5HfO4pbCNI0ZWYjKqhplbTrxQhuM+44PLa5vqcf5ieXju0DP944EpMu0QYnl+U4FwQtUnDHRvXqC2jsbFJRsLIhwZaETw6OztkenithGD3yIMzC92u10EyZCR9OapkpnGeND3H8I3FMRh0I31NBClZDh06LL95+beSAO3Xrt8gLQD/P/wuKBtz7shUs01DCtqKgMg/RpJJPh/aXoZn4hoXwwSUBL0krhuDLY0agY/aLKh8VMot5nGzIovzZPnXSB5mjDv/mRMQKJ7yg+e+/KfSDYdKPAgvIT9entqM+ri/AyiTHLaq/rav7wx0rsgzBW8TOO/oaGhmJgDGkUWEdDFiEZphnK1XQOFoqACjInE7NheSxDALXoPnN4yD22y7+RQg08erkZMUCCNO47PiBi4zkrvvTJ98+9/+TZ0xGNT4yCOPSEVTve48HZqRMIzzzL3Gpu6tGFn3dZ9WdVc+VJinT5ySGahU9t+/Xx66/0GpRaJIw2zMO8F3xEx6olvwD+nNgESCKYGDQZ90++0+7ZUBSHXNzS1Qf5VCWimSsvIKtXfQ5kFpo62jQ7+3dgSU0qYSgdsw7Ss+5FmhAZ77sc7Ka2+8qaq2Rhjp6+sbpBYOMuWIWYlh/+OwdW2Clx2lognYQYf8Wc0HxufM5xBB2YoeOA2Qf1CCygAEdYAxn8Fcw7Mxz/kaDrG7LkUK+PAhz20EFL7QDog4LxDVG3xX+DJxhBlGJC5HTz7XlI48+TuGUSdfVBZPqqioUgNga2sbjkFN8KJSXaZXiw8GRXIgBm6lMGI1jIJ9IIO6VUeec2m8HH/TxsEBB9PRM77IYS5O1D6V5XRbpYTys5/+DOnWx+HltQNBqqv0eZIp/v/svQlwXdd55/lh3/eFOwlw3ymJkiiR1G5LlhQnirckYyexZ2Ipk8yMVVPxVHV1qmu6K12Tqq6eSJVKqq2pVI3Tsd3RxG7FjiRbuyyJUiSLpLiJC7gBJBYCxL4+LG/+v+++AzyCICiJhEkC75AX7727nHvuud/59qVPMELqFAApQ+95WFwzqhqiuslD1Xqyzc4qHoV6KVvFJW+7fZsX6ApzBZwAl8mOABxLhp9w7mz4hGgyT0gBIHacE3C/z00bcY+4Q4c+ttKFy2316lVi1Io8nqSxsck+97kHbKNsKG6Al0p5WOsRe0aOjPF6eaqeOWTnu/ps9/5D9u5777tn2W233mo333KzlUu9lSUJhgj5j08/627gzDf2z6amM7Z3zx7XKEDocsvmu8oSlRhSzshwZK+cpOz4VK8iRVQ+1XTN8MmJRIlYRKLGZ/QdREALii2QQXILV/g+HUTnm4kxPHFgVC6GCvVQQ1pRoJbkmM6WM5636fjxD8X5ZEmXWuqSSWlJqYyKXbpUPuuZuQrIuiWqW6IUKjRJzS7FeN+CIOzuyQ0EETYWVapdPzOQl0iBAvywoQZhw2aFAhX4wnX4Jz/9Z7vv/vvs9u13WJnUMoukm69rVkEoqUvjSr0C44AKDC+vbqUHweV4oLvX4kNyee3slv5/kX3ja78rVc8ST20PogGpAheTCYoOzdoG/MOgjcTlUaVPCPlSSSd33rJBTFuFzZdkcbKlU27IxxRUuk/qwm53xSercI7WJLYYiDbxKZmynTB/1KWH8XvuuedcWtm4aaPdecedtnjRAre5ZMpegyv3po2b7LHfitluvU8ICXbT9crL9tWvfNXfKarqnuF0e/nll61ROehgGpA6oxxvQMdnaymi8tnm7bq8CocpVFboQ8lEmtwyxJV4k4TSLLG7WRwLEbkAOca/Xhn6QBCI3bU1NW5IzFHKFFI/sGWJ03LJRDcYGsLuoiAt3QRtSoYSPCarMfieIirJs399fscJAokiW7FAoJCRsRE72VBve4SAHnroQduo2ATULrAFpA8ZkUeQq8/0GwSJvQRi4kZl/Sb1OpIuiAsJJ18GaBoGZVzQ4YaBi0jVFhEZl6YFLyC42dh4PrdRiaGDmBIEidRSpuzDpLYhxU1T15DPK/Yu5nu4R/E++ldcIOlGiH5MtqjCfNlT0rNdiqw7VW/1CkIdkkNETO75Q4pd6dNaJmFrFulgxB7ow+0384kVqyv2e+HFV5qzwJkI7jtPFVMhKu+8847bURhrru7PNiIvts/aZueb/KyzcY2vm4o3YEGz4v0z+jrlKJFMhBO0aEVUkt+qOEsWfVZGZAzs6WqzBgUtfrT3A6XHyHevktGxIk+dgltoadlSq6ldaZWqbaGQdb/X6PCo0nGTxDGqVZItjxEMkLS4bhqLjThRAVkkb36cAaXadTMD6MtdMkkQfiK4eUP9kmSPKhDuSN1Ra1DK9S+qbseCRYussKzEvYHIRDyskgaozxBVUZV2KJiOz+F+qb/EGRcoxqG3vdPWr1xt9965U4W4BmwAtZjsBTh0jANxYjYCgQLZztaWrTkh3f+o1gYEdUQSB6lRIBoQ5RMnT1lfPMfulqv13cpOQDzQ+798We8kymQA8QYBQPybmpvsfdlPfrXnI0/muW7tOo/MP3u2UffYZYU5dzuxkhlf3l/yDFO9GiL4v/GNb8gLbJH97u/8jhP+H/zDD+yrX/uq7KYqEFdS7QQde0qeromr8ibxK0UiaJ+1JaOfz9pH6rrrZAZ8bSKpBClF2KJXuX7gJveJiPA9S55dZDHFg2tAleU6FD+wdettLq3kS0ohZiRHnIqohj/VqJBIhopjSQMvNVcgbWnOqSKRIJ7PVi7zOnmtV3UYqDY8FT0MgPccvdPjSgvyxptvyIPodRXZekQ1bearuNZST7tzWtILpQYGxVRg0CX1DkZi3Fixy/Wp1DMIb8WSZfbd737XNq5a6/nBCoAjmrhpPJbSEwkUo52iMRpLUIWBcG+4FhxqfF1o4fkns6otrvWjLaaS12nSOxPg2Y16UAS5W8h+z24Sas7354/nKY9XrE/xK01yiOmRKlrpi4b1XrKLNbcq4CUJpam5w95VDEqT1FSFcqJpFDGvVzAqhBpPsT5tb8veMjAUt5qaGqtUWhacdk43nrXC8jIbO3/O4nnZSpFUqMqaG+RufErEo9NGM1R+QUSJZJK9Ku+MEjSrWG7eqDlFyIhnCO+G9+WPeJlXlSIq1xEkpyUCApOHhOgMRwfypo0oPoA8PbRhib1ZYaGmS++q3/jvDKgsa78Ihr5avzx1qBrXLrdg8jBlohuT7aa0tEz136slmZTZwuWqfyH1Ay6h4wSJG+j6jGwWRwKKADJvcalMWDj6QS4iGQ5T7fqYARY+3C0wQ34ofic33iCR75mJd9bc2uL69XeUGqRJ5WkLFWi3SDERVQvnW5dgaEhcdYYivT2vF/AjpqO9tc0ZlWF5CUpnZu0KqqtduNjuFHMyTxIJ0JCr8+Jyf3UPMY0hQ0gV7htJNiCpwIyE38njnC3feTaSQKaJmJBmhd84QqRLhUxizlWrV1uViAtzgQGfaHzenxv0Nc/E9JDdedeud+wtpX7BpRi1IviAIErctnGSwOhOdmKYQuwvxYU3SXUWaSnIZCyRxZmAvIIsdwL4//7hR55zrL13xK+vWjDfVeGDwh1oNnJY35+xpYjKZ5y4mbjMda/qOOIIImQQ1EmoGdBNB4LC/YPaAM4xPVN6aSc2Svkg3fZbv3zT3QzLhCSqlWKhWDmGQDTDqhNOz+s3bJBBcL4TjEFJJdwn1W78GQgIGtgIBAW4Yj/7QOwgHggInkXo8H/4gx/Y3//936v2+Vp3HcaQjFt5n3J3ESQH8gM+yDs1KJdYqgwi4Q72KGJexnpscp/73Odt/SohyAqpTdW4H6UQMkRQkG50W0tT2YK51ngHqByZD2wpzDcEhDm7Vd5a23fssIaOVk97TykBJMBKxadQO4XrUElSAI0gVIIfUZNxDHxAn7yX8J4hSCSypJ8xEZZ77rrL8369+uqryhQ94MSNOislxSX2+1KJUQtn9wFF9OtcD4TUuMARXvr7Cl7U3HvLVzBZM31pXOKqr74EEEbEBSKDsRPpBKOJJAMRkTRxHhGzGbfz55qsvfOojKHtApBIF1tSkq6086ptIU6yp7dd/u4rbPHSWgF1FLhYXr3E0vNL1J8IEl5nEuXJvYXnGf9orioBGSR+e2i/H0n8SQgwybtS36/tDIAUgJtkJoF9ICDagIgAzhgkgkTl9ZIQzkdKv/LgFx6ylYqLWL1+HblxnGOW9t/ScxSwqN9cH2tr80SIJQVFLpEcqm/0iO177tihnF5rrapMdhOabgV37pKIYJqEiL4vOjqn/kJImP9BEVYyE0MMkDKIkK+tXe45tZp7O31+sHHwlpAUIA64feM0gZME75ONjAUQcuaWfoL6kEmFqFCrnpQ4FPkqlSty/sKlcrQpdQcMJCDePQGYJJ7csGG9jaTny47zvksrjI2GGlzqDv/+Wf6kiMpnmbUZuiaDxZdA4SzisKHSGsfr4v5wzcyIK9hRC5Z02aTbJiV5i1I8DMmlEy+bPAUqYngb6I+ingmuqq2tsZKKKIBtVIZ3CApd48kFMHMf4luikDh0qdqZajfcDAQpZRx+EkQGpARS6VBiQaoKEkX93nvvOiK68+67rKa2VrFI8gQUQhkWjKVJBUIfIBvsJ3xiXO6XTYASwCC/zZs2e3ZdEhEGiQiC4imAnEnS9MEVeZt7AAUix10/OLagklynUtkEkxIlD9HBmE+6+mU1NW5I3/fer5Tza78CUE9qO+2uvhjcQf4vvfQLV2vSJ1mFmVpcgWEkIDLsy1P6lUERsNOnTtgdDz6qfGs7beu2W+3HP/6x3otYRL3TPNll7rzjDlu+erMM+l128Mhh4ZMIBwxJqvnsZnrhk8TbTn1cBzNwwZIDEfhaZK+2UemvUWmocuLIQI8dVcQyCeuGpM5CLZYRF+eitPIdMpoO95+3JctKbM3KDfLikgeP0qmMpUUZUKXZ9ScdEyAHEw4Zn6IWETJu5y2BFEKN8YAcfFiJU1If19cMQFBoEAM4ZJpLDP4tipbHcWP33j32zDPPWLm8/L4kFcwSZUqYL3XoIN58UofgkyqZWHa7QQXZdTqy629sterSCmsSMRpWPq//8Rt/YPfee68KPqksrvqHCUHlFSQUctYRHMknQZVZgcgkxjIXPkD4/k602IYVWMjck/EXN30IClIDDjQQfFRiuGVjcyFTMesWdRWFunBBJmU9DcKEfZR+ISTcg3edo/5wBIDpBHe0yHnidTlejMgOc9NtW12SKVRmPtRo7U0trkarziKXWFTmgCj9dHmiXWlLEZUrncGreP2IQmZ5we5jfgHm1moVABG9PqqaJei54RqJeO5R3XaCqKrKSxyosLkQe1JZWaXMprWWr9ruri5L1EeAkwGA6V5f/V4XPgIY4MI9qV833gwEohKIDE+AJIFEgV6fxIVHpWK5v2aZ7VAdD6oIYCjG7oEEwvW4D/Pdg+J0LcwLCK9TiSKx0YEckZYj0iWwEYxiQxGm9AmDoIgvFugm0AxUZ441kL2rq3IKRESUCFVrD2kR7zqkGBg1jOyultJ3jO4D8sIiSDUmWxYBjJuVJgciRLQ7RIh3yrtk7iHgGPUhJrnKcsEn894tSfJdSSB1Rz+wu3busOrKCq8uWZxWKeN/tvoXUymmgdgWJJMReXt58ldpL1wzcgXvKUVUrmDyrv6lETYPSw9/9phyLI2oFG97W6Onnu/v7XAgzMqUCJuXLtUncSLdNtK7yNbWrrNtN5cq8lbJHgWE+QJk+QxqsVNbOlr62GL4NiLXYslC/j1nJOG9BT5gCGxCAGRJpsVDFcYE+tAR368j/pkZvxJhOdFV6uOqzgBEgQaTQgOBocIiuPG//ehH1imOmcjqdZs2iMsd9dooJAhtVqEtrhwVcukQUkLd1SNE1yUPpOKBuLU2Ndtd23e46mRVzXKXUDJEqIZ6Vc5WRCfKQRcBEhIKBCUQnVnhCsJD0Zik4FLsO6b+gzRCvi9ydtEg0hAZiA1ZDGAAkV4wyJ+W5uGUYsh4Z1RZrKlZIrvoAifw2EmIIxtTzNiQPEAxrHsfscjbj/cNcQlSC4QHFVt9V78zAh8oQzHEa7W8zQ4cOCCJs9zhYWA4SteTL0YDghcYCP2Y+oE+wd4UUfkEk/TrOkXw5Q2wBScQTUtNaeJJWNwY4vr7OpxjLCspUOxAoRbxsIvRORk5ntunSqIy7oNOHQS4IAxEYU9rLsAmKzHAk64ISTkryyNU3KtqPfj5ifUSDUI8poA7IKdoZKm/1/sMJL8v3l8gKngVAUNHjxxxJDMk2NoiDrh21UpHTiA6jvfiii5RGcaBBIbY63olFVP3ZKC11zPpbt60yZFTQVaOI8lcfUJQvIFs2dRQeYXW3tVh1UoDNBsbUoPn2NPDsbbc5ikvGtIdDfV0+RoqqahwF+BHH33UpQ4kE4hCptyMyU6MFMI7QvJAvXXTTTfZ8lqt5WlalE5l6hPw4EJFdv999yoFS6Md2PeRAiLzXCqpUPnncnmAudRUVmrLpPqsXjjPpZuC3GzVWKmyPr33Yp1DpSOIEcSGLUtju1xLEZWLZijwVeFAwLThc/J+/U4sIniRRKC5nzSmuiS4Bbo6S+w/kkHUhPR1TYJ5caSv9S/AFKch0TerAPWUKsQ17FEpz9flBRJXXh8Z2UtFBGKkvOiSHrvCvTd2bNuiRHRSjeVGg0gMJbqNAFvCchiei81SUETHNK4sHZWRxuKJnGCJwU18OFemccejcSeunDie+nZNZmBKBjkBnsAbhAROFSRAI0UKtcj/8R//0X747D/a448/LnhaZFtkZG8832pVSjTY099tbb2Cq4IcpVIf8KDH7pZWSSC9ltU9YNmyoZQpVcgf/dEfWU1NTaS6EdzAiUPInHkRIkN9FiDRbSg6BvRcKUFJJpb+UL/GP6gGWb2Xasw1aica4+Q3RLpFpSOGRahXSeroHVZWC6m0/viP/9htJzkKKKZ6I+rqKqmqSdJapoBFT5kkJxuScZZXyDtzmjahMbj4JEZL+pbRgmYRKdWfl+EeHLNAqfTL5MhTIUkFojYmb9B/8++iwmEN8iwrKxaRU2B0uojbmJiCmOJWXG0qYgKxi8k+QyqY6VqKqEw3O5/2mOAK0Argx+KGPCTrKKn/PCpVFIFQgj1vOGGR/SJbRviTJ06qOFKjd5SZM+ieXOdUDIkARgpiLV+x3DmHovylHrxYUKBOwg0/7XhT58+6GUiWTpyDFgyC4P7pn/7J1R0PPPCAVc+rtpqaGiGdmBiedHdZfem9t7xqZ0nhfE/Nju2kSEZgdPzDHV06v9Z23nKbG3cjSXcCsQQidi0R/7V6kTwzz4/ajwBHCAqEFpUWaqYPf/6C1y9p6umwffv2ySFCaZA09wXK50WhLjw08caDmCxfvtwRePPx01YvNeVAb/G0j+UR75c6Q+Mi/mTP3oNGLZzf/u3H7MMPVdP+8GH70m//tpiGFklFWdbR2KZ7F9vBo4c9Rcy61Ut8HCePHXc8E1NZ72YZ/EsX1PidePeXaymictEMXW7SJmHwiEHxXuKyU7jmVBw+HKPbM/x0ERd1C2egSggCJgyYyqUVk2umdKU93edd5zowEHPi0axssCCCcomp1SoFWlS4QAbWfPcCmTe/xoHWVH7XWQ/uP1m4uuiZUjtm6wwEFX94PggJKhRUWXCWbygIlnxSJBPEhfWLX/pth5/cgjw709xo+4VM3nvvPaVAL/aEotmd+e4ZNNguW0pXr3T4w3bzTTe72/CmlWtcZRLuwT0D4QKxzsWGygpVFmlOaPxmTnBi2KAA4xrNc4kkg+GcTLvvvvukVSh09RiJjyBAnIu9i0JnEHDWPS0iVPLCm6ZNR8RReeM6TMEt6qiQWRrDvwRWpXpptEKpLGNpupe8vchNtry2RhJThUKU5AItyebmm2/2MXTLZlOtImvAEi2KOUpCer73wj8ponLhfOjXp1wcSacH9RZTzu5MTxGuL4l3kKakjjG91f7eVgesgb5WJyL19cf04tsVjFiloKQFVrt8peuqR2REW7xwg61euxEoU0eJJhF0dGxQXKakFKQd14dErsLhlNTn7J+BZIISvg8KQeSjuhDs/cvPX3SicvLECfuqkgmuFlEpVR4o6WjstAjKiy++aHs+PuAMzR8+/KAjk/MNjbKddFp/q2p+KKHoPTvusfvvvVc1zkvkRRghQNxYQXogRBAjzY3GyTA6+6f/4ifUOmdemIagmgIZB0IBsUcNyVzl5hb4Gk+TKgk3bJgAghwJXiTpJPN6JYSaMQxIvYYrMvese/+ke4xWLl/sUlTFwsVOANMEJ9jO4opJwqlieLhP2pES6xJTwXhHVMSLuCPsRGw4/SRhoovnQHtSRGXKabmynXAJQBYyD6ot3PZ4ITY64JGyRz7e7anmS0tUw0RiL2kTUJIdb2x3aYRoW/Jy5SihXBYeXEAITX2xsAFZ54zcEKq4ZxGZEHPi56X+zNkZIP/TyVMnbd/+/fY3f/s3tlFG9a8rJQcqEJKIYnTdpTxfH+zfa2++8aYt37DGtm27w6O9sQEMKM6JWhwwQjsUv3Lf/fdZidKG0ILay7loIZpkosKx6Tjn2fpCcM/muVnjEAKIyKCqpPb19nnMSZcIxWaVEJDIZ2fPnNW6xd1fbr1SkeH62yuE39p6zg4dPKQ1DMYwqyBwWf0m6PUlp246ooOUUiV1ebnsYS+9/JLtlqEe4oYRnuJdSDC5GmtcGhDeY6u8/lCxZ2XEhHey3UGD50H9RSBsePejIoCX04CliMqkV5bwop20Vz8vIs8J8SPpzEyMdS53uhJMyR+7Vd2t092BSQoXV5ZX4kvSM5QOJW1YKTMojJWrWgfzZJQzW7omW+VA50ucLpcBr0iuwYVa3DK4CkgzldvLm6iHE5AI/nxgARiThpL6OptnIAkWg4QSNKDHTx1XfYxddqr+tKdcWS8Pr9UblCJ9eMh62xRjohK/b7/zttWfb7GaVSts2coVlpWfq/3nfcbSh0atODPHtt223XYq/Qp5qIaE/EhcWCSCFRqIFImFBsMEVzsXW7AxZCpwEBwBgkbSyFEcCLnVek8e97npl2svDYM8hB01GWlZiP3BfdiZTjGP1DUa6iSzeI8VVE5vU5mOqGArw65D8sn777vflq6otZdfelmxSG1u1xlVbjcIV09M7uSy75KahfGUKUOxB1NXRM4GQ4ORlML7Ds+KpDtdm5uQMN2MXMEx7CjprHL9RxcNIWlUhbZTJyM3zkFFwhMdW1KitPMCKmpVw9ksW1qrbalKvaObRY0VLVbpMDxwkRxActKKWkAovFhxi5R4RCSd/jVfwUOlLr2hZqBZcSRvv/WW7RFn+md/9meqibJQXHGe5YsLplrg4SOH7cPdu61N3l54cuXJbodRHrsAadXHlCSyOK/AcH0NrqQQD5JQ0tD/Q0BAaAGpEXtBganZ28KiS3rCSS54MbkEM1/ZmjuKZx07cdq6VZtkSLaUU+2tUkUpaFlz13yu1c+DiDDnRLs3nGpQnq4ySTSbPNfXr+rPWrtCCXKUSgc8wblBzcj8M+/gDfZzTwgZ7yBd6nDiVzgXqYT3dPDAXrv99tsljW6zl5//uXUPplnPUJqKeqny60iXMwaxzpgTIPBX35DKSbcriahygnX1EPwqj9TMSFXH06MpIb7Gv7suxr/6n4wEsQmoauJI6puL/i6ZJMPS+PcE+h6viKXThdydkkt07JUoe+CQ8vYoiInMwZUyfuXlZqpQUa5LKd09A1ZUssBuu3ODVVQucm4BIjKkPgozZXyne2oxeNPCFaAkpOJoV6AeqMSwqWBUYd8kII9OTv2djTNAMCJqU2qKxyUZU2CpQXUzSD7411J5UYr2tp3brVZ1z8cEFyNiPBobz9hPf/ZTe+lnz9smuRKvWrTR1WBLltcKQWUr31fMAxvTewftf/93f2rZiMNKThpSqwDfgFmQTphX9tFAjnwH2WEvCN85Ns7d6ns4n/2zpQUVYCCwuHH/8pe/9GqKEOn0wS5PtwIx4PmZKwgAW54kP+Z+qRjKO5SHi2s5j0BIHCvom2uYQ+wdLHT2wbVSMpi5pkFE+A6RCeMgozRGdYgLhIesG9R0efPNN90rjffIGMiwQV807k9fMCGdMtBD0Eg8SnJLVPI0jl/uPaaIiqGp5tAAACAASURBVE/VhX9GlS5lREGFBBcRnU5qBKQCfPF5sb5Q2AdiJ4BQL5NAo/72s64m8P06RgU1PCvKFPiEWquopMyLHVVUzddLLvMgKE9Xr7xdUZve2yNxUupjjs8ABIUFj/piQPCFfhx31TZlEQZJwcXWLle0u7iRPOnuQTggOoJnQS4gmxIZY48ePaJaKQp2mzffmuvPyKV4nRUqENalDpCHEBgBuCQhpA8QynSNMcEdB8IDAgRJhhb2h9+z4RNEDCIPc4O9hOd0qU9zViR7qfN8mro8pVGBAehRdUwKa+UVSmOhqqn9SgLbLMcIKjqe17F8OUV4lmIRE1RReXpHkg9APcLqkZPEiIhNu1y9mV9SuGAvI8kap5B8clT1WtrOK1BahOuEJKHi3XstU7VZSsoro/pHcmnuUvZy1PFcy5YjjzDKaAj9Rf2pL3BbeKc8K3AAkZquBWw23Tlz65gmNEMSRkbQEVOnl6Y67Eh9Y1rEXq837Fe24FOnDtu77+6y9FiLc5BZ2YXKgaTIdVPmVtWAzs2ZZ4sWKOXCkhUOfOmqCc6LQiBxMuXwIrsJke3JDZrFNlVLDGuqQ6l9s38GWOAgL/JzHTp0yF557VWXVL757f9JgY2LZSup9SJupxTvsF9G+1d/+YYjnG9+65sRpyw4PtfYbEcOHXb311Jlsd556+32O7/1JQXHlYmgRJ4+WRASwSCVGwW8004siBW4Do3fbBCXwEGHY7PlE4N7aEgFEG4amcIhMKV5GU6YMXZTcIuywLTewl6rqanxoMl0EX/iRz5UKhWkCRA3jAFBkRB/CAv72JhfmFriYvD+hJnFdgNjACwwzzASZxXISNnoBapRT8zLmbNnPE6JZJIQIYp90RfJLMsU0U9UP9dCRFwyyi/1+wFnpPfhXI5/EsZgAgL8UVN/fAZcZRjpDUUVoDLRxGhS00WlR+Tv3dR0xiOVkVT6Fa3KisWTgxdSVVDmAUQZmcW+qIpK5ssYX6F040WJfqIPJyi6bgzvACcSl6Ig0fmpv6kZYAYCdwkS27tnr/3ghz9QSYNyL+C0auUqK0QXr6SjIAFyPr36yiueVp3YCe30xIPk9Vq+YoWKPx3wjLhb1m9w7rS6qnqiYmPSdCcTi6TdF3wNHGxQ9YAYaYGLv5za5ILObqAfEE2ekedlnd+jWvMkjIT7F0n1te2ENSHxdXd1RxKGCAbXoIYitxceYyD8IiXrxA2YPpFKOYcqr/QBUidokgh+kD2uyKVKtRJch9mPkwDEjRr18xRBT+Zj0u3cdV+FCvZVez9IuSSk5d5Ipq7C1LX84x4DMuBzX+558uRJD3oFBiBsl2sponLRDIHqQe7C8uLWIBp8jyvNAuJ9dna6qHufXlqL1dUdlcqhRdxEsYoVVdkJGT9H0sS5ZJZZ+byVAqxlejG5EmzkNSMaFYtFemeyniD1sE9rXB/6MxU9cUKj82jjxxM7x3+Hl0yHqTYXZgDOlXa6ocHefOuXdqyuzh5c84gbZPOKCqRWKbA2eR0eUZ6v3fv2Wmdfj926ZLHV1NZaxjCqXRl2ZZDPkyplafk85YMa9AjvecVl7lxCPXrKHWCm4xgwjG0vsqoAs+PAN+V0B+Iy+WDydbOFwMDJQ9xBwCBjJBQkh5qaKJUN9pLZ1GCaL/fuUkRl0hsnvXyaXOy8IaEkfIxbW1u9qNEBeVNUidoXFeeNe16Qih7x8dav3eaUPFvqr0JxIZYmw7taXAbPtDGMa9FihKiwLiEHeFwQh8+LykhL3NevSv1JzcDUMwD3SD6vV199xQkH2YaXrVrhao8CERw4Xgpw/fSnP5VnYJpnq82TgRgbS/2JU86dkqIeLnjFnXc6N7r7Vx96iqDb5CkE8od1AVqzEmthTLr7NFWBTLULZwBCwgbHzyfqMAgMhD/ZnnThVbP7V4qoTHq/8q/QYpLuWN5d1CToVZI9JJQO1ZFulSG0r0/xJirpOzwSVVasrV3s/t3l5UVWWrl6vDcWJZ4V6CjF7/mCTs+MqAn9s2ClcY6oi2JQo3iDhKE+yfvrgg75ATXyzyhZoExp0e9U+vloHubAXzhj3IAxBqMuod5GUUWZIzVqmgxKt44+nej5BUsWWa0klHOC3fozZ6xchKRF11bmFaqm/BpbvWSZI8JBBT32dXbbQdln8EQSDyQ35CwvaQv3g1olAXlzYIY/+SNCTCAkQQpDSuP9sO9SEtsn7/3GPFOBl95uzNHPwKjTsKFo9bQqP87ejz6SPrHO7SQVlaXi7Aqln5QPufSVublZcs3cZJs2r7cCeXigIhsZmudevqi2JHi4ugDPsbREPRJkkqhFqirJJn5dgqLovEAgEgbRiNIkrkl8hJWt4MmohWsmDIYXXpD6dTVmICCNz9IXUujVbAcPHrRnn33WGmR8ffxP/mdPSjgiXRXc8eETda4fz1K8AvrvJgU8ogYjAy668TS5tJ88ecpuXr3e/vRP/8Tml8vOovbBe/8qyedV23/ssP1ff/mXMvAutDQxRHDb+dmCLdQeCbf16eai7ukdturJXepxuz117B37zkrv/qI/V3tOLrrBVdwxKkYuLDsX4dQ3xQE+Sbv0XL1oT6Q9Ys9c0Mn0c3bBqdfwx+Xe3XUqqQTkG81cSL0+Po+Tke2k9xtXxDoqAoKB0AFCJdyrQaAwJn+5zBwhbV0zKv1ymvqSd50NKNDnnAKT2js+cFFWjsNyARyTZ0S2Nbc0KxDIrLyy3Jat2GhrxYUUqKIiXOJYepny48huIuKRkR0NxP8KCiNAlCY6kTrejSjjD8HxMPDE57iEkjgpsYiTLpn4Ou6GfJ2+womRzvlvgccPDoMOfFPNSgJzkbMJQypEAfgN3DDGXNRez/7sOetRdoY1W7dYLC/T8kvybUg2vw4VcBvLE6eclaZr+pRupcu6OzqtQDaRc6fPWEwJIvtPN9vvPfybtnLlSovLnRVvJO6xpHaZVS2YZ2mHD1mXouuXiqjEJfVAqFg7uBdTW0M3MmUjnGr09uITUrUdeMqOxd+xlS8+YWmr0uzQC3H73sNTnj5ndwbCu/2pYxZPorq+fxbM2azESHAHuOnhdscCTlMgl3uvCHePcxw6xGIhUlhewfKi6JY6QdUVj36ka+SWl1/ouXGC6yYEKia1wm03b1Nf6i+rwNUN6VIRQBJgRsf7nrPLJfXgU82AS62CD5dPAZZIUJ3qVN8HQaEhJQQDMN+JiEfaeOnllz2L7J2yh+AyCrHpUDEoYkooKQsw9qs6IEGSeAGRrmNIKly8iUivvn79elu3bp2raOA68TSCeJAfDC8hYl6QwtnPumFz5ozlNI1d5eHvBVO+znv4exrG93iMVEueARFbJDkIyjtJBIVTVn7nHYs/+rQ9fSz5ghvv+2XA+9o8EIJItImXx2g4/jva724pcPHjm8YJRk9sI/LwTR/WYkjLtvRR0U3lM/JN1CM+3KVOBpV2/pydOv6hvfjC/2v/+KO/Vvrvn8hF74j0oMUiNvL/7hXBUf6tLTfdbl/60u/abz32ZduujK2lCmAsLCzRgiQdQoImgyhSLTUDl5gBhThJLNZ/pRVXqOJFZ43Dt44EUHKGR4ZfPsntdlgqrOdffMH+81N/Zfc9+DnbfvdOK1PCQFSxnXIrHVWaEILesgWT7ZI0Gk83uMTR095hbU0tNtjdayVKIfLYY4858UDnT4OoQDRwf129erW7w5IqHzsiRAi7AMeRmuJjSpWugnFTNiQT1ESTth1P1015+lzd+eJzKLwetz+fRFDG52Pld+w7QbKbck532IVTWmdP79C8P/GiSVRMzP8Tpl9Rq3vadiS/kx1P2BPh/HDO+HXJ72/yfcLJl/+8LonK5Yc9/Rl4uYyLDXxVVDwldgfkt036glYFBqFX7pLbJUFALCBqGQwqPw/BQUuWLPXEb7gG4m9evXCRlSiFNHWcccdkoZNhlM9ReXaxzPTeUm2OzQDqHkeiLOjpGrAhIPHyup8QTohFAamjxm0UvL7+xuvWpLToK5avMAptrZWkgWQC7OJ1RGwCjdoZbfJUJKgNQhCTxMI5ZTLa33b7bXbLLbf4+Ug+SOG0YFBGWoGw8JuAyaB+4xye81K6dJ+HR55x7ptzwnbsqe2268lVEcKjkznfXrSIpjxmgW5cdkoef2F8Pn1eX9hoT66aAuE/84ilPfdY4tzvRf1DLFY9aTJuTfTx/fV2AJPX5PZJ7zP5uil+X5dERVpembTZlB6CTQuRbZyjS3wff55xiYWVK3VXws4tF5gE64cxW/pjFcV66cWf2L/89Fnb9fZL4ugaRCgUvZqtFNS9zdZ67qTNX7DKbr3tXnvoC1+yrdvuV36uxQoGI2WFPLbSSbMQbVkeFZ/lNVOwjXxCXDE+5NSXG30GEgiCx3jmuQnOcIrHwis9U9uovADjGcHBYgKewyUBvhFsMpVuBW3TGVXd+/krL9vzv/i57HdmX/m9r1kaaTvkKjwgp5IhRcbHYHBEPGJiimxYQWvpqoOhZIYNdSet7WyzLamaZ4/c/3n7zQcediLF/ZA+IEaotSAuICy+o3ojAeErCpjELZkWIqrHsjWy9Inx+0EhLtGTS6pzICwmhHc5uut9zZE/29ev+mRPigpxskHq4cck5+yyZ5+fJAFCFC44VxLMX+jFaP8FaraVj9rX9EouaJ/mPhdcOPWP65KoTD3UT7EXY6IkCLFaSvfdZgcVVfzKz37maSzQUZPTyzk1SRr46qNfpirbF7/4RQ9eQhWgVRfdUAsNjs2bvk/V4OJSbW7NQN3TfyHPncfthWNPyc/pGfuLC3USVzQZvUq9AYI/cfKE/fjHP7bXX3/dbSE7d96lbNbLPI8c0kSoFBgC8MgBRs6oJkk2uBxjA9ywYb2rvLCRDI1EaTyA53GY1kjdXqJPiAywjLROrrD6+nonOEGSyQzq3qSnu5w6Z+V3vm9OV/7iaZuEBpN6SX299AzgJZaslprsMXaJK+uet2clkTz+2CeViT7jfaa4/dRYcooTf527UCdNvUmvi1suLrra4unyStEm38cLt+xe9dAu6aJdNUvOWUtbvVJRH1CNiRPy2ipTxHGJPLZyrBu7SW6VrV53u63ZfLdVLdkoD5hacYmlUi0gneDlovK/qmuSloF6IVMqspj80Id9saGagMODpKTIiiZhzrQ6ez5asfZwgvPb9ezzl0aa8CQCUaVkVBFppGn9TgKYZAmFU/OVh4sKjm+9t8t27/9IFRDS7cFHH7aNN2+xIdkFhxSD0tGv0rOSUAoV1JglBmhI1fs6VT20QLVQes532vmzTZYtr8O1NSts85r1Vp6vuCrVT4CAQDggRDBWNKSWwBjxnZQdEBg8zVC9wYjRpOz1zX/4nzo7ekBfHp9OnbPSVqtwqe06ZMcmLryhvpHSPT1sen+f1J34Ug+569Anmwm8wdJwO75ANfWCWJmr2672fRLs+NUd5LXuba8kEzxl8F4hbUKWuDrsI13ygsG7Ba5t0eJFUl1leh6dnMIoJ1dcKoS0bBE0ARD6bM9OrIfx1PZCAixIFlhYgNf6OVP3v0YzELjAP4+4wEelT3jyyWft+ToZWVdeYkwJYReb3OW8v+rPNnjMyKuvv2a1tbVWu2K5514CnpGsG+Xt1S+pBDhk33n97lLxrUHlpDujiHnUVdSjf+D+B+yOW2+z3GzqkEdqKxghCEfwMAPWsQ3SgHlgHDvi1q1b3atst2qvLFq0yPczbjnrJ5WLPWaH0M9DNKZpq9ajbzlgR+vkFHap+Znm+tlz6GF7TBThGdSlUlVNL0O8aP/pEl5iV3c+rv59rpmkgujOomAD0MN3B34xc6MYwbVRFpPcWGyYSrxIjD5HxKVFtgzqO58XETltDZJE6o59bM1tTRaTp0pnb6d1qzBWTJxdTmG+LVy23OYpU3BZ9WJFIC+1/DItlpwqpasne6iKDOWUIwd5jQrqVPA9+g13R84b7VBjIU5s1I9AYkEDnmqzZQbg4gNM8pnc6p6XTU78YtAsrHz0a1KBTaHnTr7Iu8hV3XfViFd/EJdwjyC69CgxKdsbb//Sjh6vszxV4StVPZ6V69dakQzt2YLhDuXxGpBaC5kdp5MBSSijYoaG+wcloXTYcJ+M8pJK1tQst7UrVipwUepejSMuhxTc54OKK8AvQ4TIBGklEJgvf/nLym1XZ4eVPZfG+dF6SCwC35v682ln4GGoynTqUnlrPY3fh/IKIgRuXP0ZqfDK1U7rD0DJp2tXep8p+r5mkgocFw0gTtbvAtxRFTXpd3WcdBNjSpmSLqROjRO4se7ODqVMaZVni6qiiQM7o9TOpHcm+R3xJAvnVTnXVawAxeysfGXxrPIiM9XzFSUsA/vI8IjSRMdcgsnIjtwlRwgC8+Xnwxr/cyE6Gd/tY5v4lfo222YAiTQgXj7h4qMWVF9/PsFpugrsSXsSFdh3vmNTogFZ6+PScwHr1MJAImAjsDED+4jsKIeOHLZfScp+c9fbHpz4hUce8VKz2XlS1cpzsW+g38c0IM8wAHBQOb6a6hs8aDemBJFI1KtFSLZv32E3SxonEST7xpRiJSuhwrrce+JZyWaMXZFPvNCQVvAKyy2ROljrcKKtMhdCJnZM+e2YizOP22fFj1N2eqPulFH82FMHFKuyynZIIZhsRA9BkY+/8B0FrWBQF0zJFvXdhwNMTUThT7a1XzwdD9t3Zcxa9eQf2tOPTmQ2ePGJVeYJD4J0ecX3ufjO14yoJBMTuKfQAOpscg5pB+c456RFQYDXmTOnPJjruFJJ4Ld/puG0OCylh1ZWViLah3GT1DWnlXp+WU2N7di50+arcllxWbnXNhiTjjlDCztTHFtGwkVMVhkvrEXOpGxyc12mjROZSQwb+yftukxPqcPX8wwAh0jNwCbIf7xNUn1F+1fad/78cXvykUuowAAMdUESR+KugFOkH2JFuE9M9pN3333XiQmpUv6Pf/tvPEV5iTI4cGm74lC4BsbHAxx1XZ8k/ZbmFms60yjCNGAluQWKoSqx/+1/+V8jYijJhGuyNX53sVc/o8q6TWnq6RrPiwsy6rHPf/7zLqm89tprPg9rtsjd+IKkpwl7ybTqnITdZft6+4Q+T9MNb1YcC0GOO6SiTJPH70ST44eyEURqMcHUOy/YIdlUVo2fxPEXRNgfcSlm4rqpv3GfYyJdqxSlH27z+AvH7KkDq+zZcQ+0K7/P5Ltfs9xfk1UKEA/UYCzgLPKmOCfWb8eP19kH779vb7/ztp1va3buacH8SjcmUqKXkpzZWelOGPrF7eHxkqfU83i/9EqV0CBODsKxZcsW+/q3vmm1Sk/hTYuaxYyrcrakFxaveDr9Gycb0WnR2eMyTEAvpHeh+V+nJiCMxMmpjxt+BgJRCUbq8ECBmwy/J39OFSltg1KNgsyzIruGvrgEkKe4EJKU/lKSyY9++CMrqSr3WuKUASbrdVZBnvXLZkLqeuKpnKhonQwPDLrNsONcm3U0nfN1c/ftd9jDDz9s5SVyMtE50ud6lUEAlHU1KoKEDfFyIMq65HwkM9bQSy+9ZD/5yU/siSeesPs/d7/2y9if3AuxEIkYlWSuO8xLmK/HJ6VrYX7nQpuM5679M0fSjqjTZ06fc7l3F3DkNX9WAJkFDKc0qpxE5xQFvHfvHq/VjBcK9bhpBGhBePjkXCqftatsL+6UlFKtVLU0OMy4FhF94smSp+j3TkUe71NBo7qjR61HnB8tW1XW6Iv8R4QwXm6y/KLUnzkxA8DFxQghMmri+w+sTN5ekLp815P/6eKYFcGhgNHnDVhDBUb/SAQEKx45fESG935JGqWefmVZzTKHb6SRDjmWcF5UMVB2DamDsUdyPUGOwPoWZSm+9dZb/Xoy5LqNRGuDxhghENhTLn4eP+WSfyg4xcb9cXBxJ4PJZ0udEz23uO5JwSiBoDBfF4RQTO4j9XtmZgCCf9E7iVzhgz1wJm58zdRfAD/AzgKAswoAjw433j9qL73wC/uv//D3qmDXbzt3bLf77r5XCRzzVDZznp2VGgwjZ3PTGa/Lna5MfYj5uYoqRhdcXVpuK5fOt3xVNMN20ylvmAMHDtjf/Ze/sa//4TddP7x+02bLEcFBnB+TWgAjZLYW3qAC1JKbXAn8ZwhvDJ/jHN94ssjkq1LfZ+UMvPicZ5W9lO+/G2Gfecaee1ERzcmuPXDl2sZGo4wOuXnzXPX12ptv2H+XFHC47ph9+StfcZfhHKm2UOHiwYWEArNTqEqAyMTtsiXCYDWdOO3TS8DjTRs22G/9xhdtUUW1r6McGeZ1iW4n4iVClq51gUzgDif6Nr3yK3prECrWI+uTxJPkC/N0+42ttljFviZ34jm/HkNiUVT3M1Ef4e+Ukls4mPqc+Rkg0j75nWwn4Wew0czM7a+Z+gtCAtC6pODGxKj+Msj/uf/2Exf3e7WoyAS8dPEiT4p39uxJr8tcrAJZSDXpMn4SmFWQn+NAj0dYsYhIfDDuBtBTCt7K0fEyGRzRX3fImHmmqdkJ0/rNW+ymm262hUuWuJoAYsFCmkxUgqgfiEv4nR7UX0lEJaX+mhkgvVa9hroY4f6ehfcZ9NqJNBjhwPhnwpCKJJPMmo+rv5TqWoi9tXXImZyfPPec1Le5Rpr633j0UcvMz3WmqKVDkrmYpiE5qACTxLaQdoWaKJSP7WtVAklJDgsrq+3Lj/6mdOarvPaJS0AypOM1iWRDvXNgkv0xMU5ZSleETXG6xv2CJMXzQ8S+//3ve0BkTc1y2yxmrKQ0URZ7uo4uc2yuaAWYz9nWLvfuZkxSGU1UTMQhmDaZw88QByU1sQK0ZMPUQpA0b3Hpik/s32dHj+xx8X+dFsvadWtsRNJKwzHl6jp7ys8tXbbYCrJKraq63Bdhuioq8qD40IP8zw9mWrNSTJyQhxieL1sUo5KveJXKykrbIzfJPb88bANi3eYrp9fCBYtFkKQ6yy/wcSrxii+q4GLJziBJQQQnT+hl1qj3mfpz480AyABGJPndO0f+veme5WH7nuDwolNyE/LBWJH1KsHjyY5z9sbeD6xRtU5qamvsfnlrVZZXKMhRBESpVgaGlc5FtxnWmkCKjnJ8DVp/R7e1t5yzgt5hy+8bsdt3bLQta9f7gIJxHfhMl/OKXFLUByIL60vPIincO51u+IljMHo0GDdUyHfffbfnAjt+/JjdddeOxFmpj9QMTD0DM0ZUpr7dxF5UzCB8QXy0U3m6SGL31ltvOedFSm8iWfGGaVNU7xJJFPfcc688vQp1iXzuRZSyslU7UYhe4a6uRstSWm7254zmuSvm3Uq90qIkfAfka08uo6W1tfbQgw95+osTx47bP//0n62jrcMektgek546Wx4vGeqTxuIMXEb4jAaa+jsXZgAVkNsmpJ69Gg2kP6IYktOnTttff/97YqLSbPPmTbZVtpDamlonXh2qvIiEklOY64b8uOAaBI89o67uuCdExZZ4Yt8R2ynPRlLf0xjrZIeCKxkzkgrEhLVUpkSqjGnXrl2eCwzp5Wre60rGea2vnat44XLPfXVWzBRv93JCH7RAeHu8nTl90g4e3K9YkwFbrFQpff2d7uVSVCA7iUr2LpYKbJ4kExZ6XGoBFhsSCum+0+T9hSGSmBOITHFajpUU5iklS5FVlxVLdpH/V6zf+hUT0HW+2dYsX0axCtVPabZ/fu6/26aNG2TQL1RwmQIg1eiDhRVa4NzC79Tn7J+BZKYi+ftnffLTp0/b4YOHvFYJthHiPjbIwF67aqVlSyKCcPSr8NaQtjGJ0aivqDXfqSJbfSq2laP4q2G5KrY1Nnt6eogKRnQICu1qwijPy8YaKNSaYD3g0n9UTi7YPFE5B8RCRD/OMDSuSbXUDMwYUfkkU+uAKUDEGP/GG2/YqVOnrHZ5rQPp0WNHpXcatfUyRC6qjkqeipr4IspTllYWUSbERACemSAmaNoA63y5GcNdxbQQ4LiWLVvmqSbeUJK8VnnMECC5ePESGfnlefPxMQ8427njrguGzNgCMgkL6IITUj9m9QyEJIo8JO8fBBuQLZ+ob1EvpUnadoSewKcEGyKVZGRnOfIlyLZfUjBuua+98qodUingJ/7tn7kBvKamRr3HZbdQjjp5f5G1AU/FYTFLblORKgxk3iuiggpsSIG/9P2tb33LEX1QzXH/q4nQeV6eH4JF38Ss8B2CQrAm38P8+LMzSamWmoHEDMwgUYlklSCxBB4m/B5TFmG+j44gMZy1N994zQH4pk0brOH0YUkamVZeWumf8VHVjBCQ58rwyOLOyopUVDgCD+O5NZqm2BbsMlHCvHyVUyXAkcDIHhk4O7s6ZOBXydTKYjvfqAjk+l7bdNPtVrtkgZBCmr3wwr9If15oDz7yhXHACEQlEJbxA6kvc2YGYEiANxCnq1mTnhzigS2QdD59qLaUpgfki+Scq2DcUSFeYXp789XX7IMPf2VviGnKVdqVr37j92zhYtnytBUpuJHAxfYBavkM4H5omYLh9o4uMTyt1qco+mGpm/rbu9wbbNOK1XbHY1/x+zAu2mSkfjWIS2CiAjHlHuQDg8BBWHjOQFRQkdGYq8lj8QOpP3NuBiKL3DV4bAA2Q4bJ85IW9uze4+J/MI63qCY8Xl+k+UanmynABWjhzABiOCUWD4QmX54z+QX5Lt0gquNCjM4X3a+7J+s8rsNrhr4wvsLt1def9mvuueceO3HihCKad9mg8ijBiYWFmUxYrsEUpW55DWcAmAFxAwMgS+APmEKCYH8ce2CiZUsqQTomSwPpVk6dPpWAsXoxLC+49xQ5tHB3R221du06T3QKHPaIcCCt5ApR42RCDAoBvNyfMsAkRsW9GKROLModt21zuA7jCmPgMxCa5H2f9ntYW1yXrAbGw2zt2rXuws94QmPN0hhvqqVmgBmYMUkluNwSsU6bTL0ozkg7dvSwvf7aK7Zm9Qpf88myIwAAIABJREFUaKOjQ7ZwfplVlOVprQ2K44tbfm6+fPelbNBizpPbpQ0m1F5SFeDpMiruLiZvl0xSSGRImpH00tvTbYP93RGXOar8SiPqq7fLblpb67rhXW++6nVUlteusfVrVkvTNmYffrjb1t+0we02YbEkE5hoxKm/c2EGgmQC8qbxO3Di7IsNEGQoZCoVbLqizLFstLSesw/efU8ZID6wgx/ucThqUQr6GiUyXbNmja3askFJTWsVd1LsBKpLLvMQljQRJdx9+4cltQhGqYdCfjoyD/fLeL9x2Ur7wsNfsFs3bIH+WAYESGOA0IWx8QnBu1IjOvBO3xAonjfMw8KFC32spMIn8zcNAgSTF67xnak/c34GZoyoXG5mkQgA2tPi6vbJjfhPvv0tB9LjRw5bZVmmp6rPUg6w7q5u6ZmVFFKAPDSIXllBk1Jtwc2d1zG4ph7vK8PyJaUUSvWA2RARnQXR0yPVQn+XFsmoSyHdvYPi+pQPrLjeXYxbhQjmiQuMqZY9nmcr1imzqzxsJhOVyz1P6vjsmoGAtEHcwAKwCvIMhIUkjzSCDLtV/72pvU0M0lHbv2+/SlWfdBiCYEAsquTSjjdjs3J1vfrqK7ZoVY1L4gUlkVQ9KCaoU6WtO8UIIan0S2LGAM69l9XUeAlgAhBp2FUIkEweC1ICsB5yifmJn/EPRIJnZ+ysA77TP3172n0RFYgXLZmoBOLzGW+bumwWzcCME5UgsUwoC6LZI/r9lBZfv7i1cnloFWiRnmw+q3QrPbZu+y1aJHBeg8owXGzZSr9CGous7EIPZhyJZ9qZlno7cOS4V7p7f+8+KxL3VyJf/1otvru3rPXcSdVlhcpyPGZD/T2e92h0QERIAWSowW6/ab0kHxXbGuy3JQvn28d1Z+z5f/kXe+iLX3CCFt5xQCL8ZpEn/w7npD5n3wwEpB3ed+DG+aTFBkeE3KNkjc2KHXn3V+/LRf2n8i6Ui/pDD9pwt+qcKHAwS3aQLHkijsn+0qbfkTS8XhUZN9i6LcokrHWAMR8k3tba5uqluIrAnZOEs6CozO69Y4c9uONut99QzTQnW2UaBNPJjTEyrjC25GOf9nvoB4LCd4gKRBUbClIQdhWeC0LDOTTGE5gw1ghbuI5PWugrfA+fYcxhntmfajf2DMw4UbnU9HQIOD/++JBnHS5SkaxhRcPDgc2bV+0idb4kjREV9k6Xnoy6ERjdiY4HoPepctoepePOlyF/zdo1Vj5/kSQPpWMRhweg//znvxChKrM1KxYbYrtWgLtnQkAovAWBSk8vsuUram3+8s2etK9dVSAp5IVrJ/YXJCMWRDKww42FRXCp50rtnxszAFz0inA0dbbLFf6gfQg8CvZKBctvv/OOzS8uV2zVYksX/j8nRxGklzEZ4lesWOFIl2SNccH/gvmKx1JiVArIETU/JAn8nDIPr1u31r6w8167ZctWqY6j5KdpQyOWLRtiMkzOxGxDFIDzoE7jN7VViBnDxkMQMSWHWS/YiZLHwxph3YQtjC8Ql/A7fLI/tabCbMyOzxkjKiGLb4g4T5hWNGsRp0esyVGpuoZjA9I5L5bbZZeWzqiVKQXEgHIaZbqnV7o8viSOi1PKk2rL0vNt38fv26nGdqkbBmxRSb6NZcn4LgJSoCJGA5nd8vMfsY4hpcpvPC+vnD5Lyym0eQo/wUPH5GWTJj1wd1e7uhqx+ZU329qVtdbS0mIlRYUiRCXOicGN4ShwqYUwO1596imuZAYyFCU/qpLTe5SkdO9H+2wsNiqCUuJ2v9hgk40Uxx1m47LV5UjiHpSNJFdMUbUSnnb3q5hWv5xFjp9U/NSIlVRXWqeklOEeMT1S8ZZm5dqqhUtthTbVGVWhOkW3K5O2fOevZMif+NrAPAX4RxJpVhAxcSq45AcvMNRfNI5z7qUIBMeTpZnJAwn3mbz/ev+dIoZTv6EZIypT325iL+L08ePHrUoqKri386rWmCHiUTmvUjaUHPf4GonhPoyON0qSRwAZ3FJGbol7omTkl3p67uH0bAVL9lm/FuiwpJqNGza6RNN25pg8cU4reLI6UhkIuIlkjrEYZIdxjxUtBtJ5Y4MpKyt1KQVpJZn7YtQAEBxbSnc88Q7n8rdYjIqjXfaqao2clPfgzbdudYTbKxvfXTvvksp1QL/bonomguuVgvFueYaBlBctW6DaQGfso8MH3YC/9c5tLhV0KJM2Efd/+X/+B4+rqiqUHVGSi1aA1kFEUHol0eSLAZqpFggD8B+QPTCPFEY6fggL64bAS9YMLUg1QQUW9oW+ICicMxkJh/69k9SfWTMDk52yrvqDwWWxTW54Zx06eEAulZ0C0DIvuDUg20eFpIW0zFwFl+VaZo6Kb2XJ9z+32Lr6YnbsVJOM8qa6E8ts210PKp9wgR0/02F9Ssty4my3NXWMWs9Ing1mFFhWyXwbEjE6cbbVGrW4+6U6wFifqcEUKwFlUZ68VoYVyCVVWK48eKorylUxcp7rtNtkd6GxGEKbvCDC/tTn3JyB84LfFqm+xiSJDCpIsfVss40MxFTPpEx5vCrlkZgmO90xqb46rUEqoxJJ01VllXK31JIT85OmwN7K4lIrLxRst7TaqcPHLEdeufdt227LKuZZhSTsTLlOZmtD2vEmcT9Pjigg/JnaIBhBAglIn3vV1tZ6tmIIH/YfqkIGmwqMH0wixCd54zp+h+NzE1Lm3lPPOFG51JQCmOhnSUUB0B0/cTwybMq9Etdh0q5QxAgpAgMhOuj6+nrbuvUWj0YW2+PcHt4y6HX7xRkS38J5Z8UFYqMhXxh9UyEv8v9XdLOCt+Co4PzwJMPLhmp4RbLJFErFhs0GbpKWTFRYIMmc2KWeK7V/bswADiD1p+tdYsa+QMld4HTdunXK0PCBffDBB86g4KV4vO64bCqnnPMnPQvejsDh1q1bPdsDMSz/+q/vuVTzB7//B26zoJQDLVPImjQuoYGkZ7KxXgKcA/PBvkJWCp4NtTDEJAQ/hrEEqST85nMyIzZZWuGasCVfl/p+Y8/AzKm/gnQyYUzxmQo/iTwmRbfgSgQkQ1H1jW6kzxCHl1NQqloo2DSiVBHZuUV2uqHJPti93776la9aPKfMTjS0KG/SRrtT7sDrt95hi2oOyt5yRIZ/5Urqr7exvmHbVLPCxkS46k9+aFlyS1ZAs/hEuYXqnqTJ7+tRGnFtmeklXuqV2BmIHYSGNnlR+M7Un9QMaAbqTp20t9571yolaRQXFStKKk2SiKo1igk6duSoPfTYF90VuFtqWcyIx0+esAHFnICYF1bPF2yNWYUkleHBmBWrFPCD99zvnl6LVRelp/W8MzxjUuWmCbHHExkkYkowSYuKbfvXq/4HogLcQ7wgKIGx4juGeYIgUX2h+oMwcj6fuBxzTmhB5UU/ECA2iFGQfsJ5N/LnbHqWq/keZo6oXGaUcEG8lCAeD8nGQSMqvn9YteZl9+A4AM6+Pnl2nVJusELpk7sGRj0KfsPWnS6N5OTkWm1Njby/6EPeXaPNLnGk1Va5yguJCG4yp6LIikSgaN06dVjGUwoisVQzRNhYINwzLCTOC9/DQmNfqqVmAKaEiPeM4VHn3nfKjkLUe0PDGcsVPFLmeseOnbZn315lI94sT8fD1jzUbDWCUzwLgatMxbAA0wI5u1cZtTdt3OTxKk2StFFDxakNIfgnBT7wJ7+AaM1MaGWv+otg3QUJBUIQvnN/mC3c8VkjZKGAmEAosEESwxKICucGosKaguAgxVHwi2Ncn2qzdwZmjqikR0RiPJZefvreEu5gUZYLVovqqmjV5OWWy/dfLrxphVZdrOJbAsK4bCJEFh+WC3FWRo7devtOy8opUrr687KxyKNG9ewqFy+0DrkKHz59zOK5Ig/a4qqPUllUIMN9up3vVFK+bi3OzBJLH02X3juKAs4vqlDwvTKwShVGioyM4bOWNtQeDVGAHxqLisaCYQu/w/HU59ycgYyxActNF/Mjm1yGkOa8+RVK0dJqxQuX2OJ1fTZQWGs/311vh473KAGEJOGFq5Sfrt+6czKtLDNSH509fkq56JodUT9wp2BbCBjPqh/+07PTTmpgdKY9aQYOIsVTefXjjz+2I0eOXGDXCQwgRImNZ2GtEOSMC/LGjRudOUTagZEMxIvv13tLEcFP94ZmjqhMHkcCTwd0DbEIUgr+8Lw4srQCiGNKzuccDfhcTA16aVKBZ4uzIzV+pdyHS0uKbY9014cO7LfqJctUja7U+mX03/PB+3brsgr3VCmSUbNAecHKpJagdksm6TCU0oUxpClTMXEx5BWLiStERw5xycmJuC+GPxmYGFOqpWaAGSguKJJEkmcf793tMVKr7l/tcHXinDJfK24lll1pBYK3NBXc6u9oF6Mjp5CxXqsQTGaJ34J4UD8IGEOKBu7xpgLpfv3rX78uJzkQs7AuojUbSR185zifrBOeh+/YLZF4UJkhsbDmwzriE0aNzxuBuFyXL+U6HNQMEpUg4k79CRBVi+sBsQ+Im1m1arUbLTESFhRECSThclAxNDTUy9bRL0JRJgDNUu6kSq+B0tDW6f7z+/Z86Oelqz73PHlxLVLAY7WCKPtlLwGgF2nRIpEgNeUp0GxQFSY5t0IxA+XiokalZuhUenG8vkpL5aUjzxYaCyO0sGjC79Tn3J6BfBGUZYuX2tljRz2GZNGChc5998RkN1m5yo4er7MPZXOZr6SoA+1n3EX45jWbbYlgsfn0CT8XdRIG8KVLFY8iyRxYZSNP2HQNWLwW7XL3DcRk8tgC4QgOABCfQHQmn5v6fePPwIwTlRD86MWyfb6iBZEjrmy5fPezhdzJz7Vx0ybnZvqF8PNVmGtIdpWBIbkIK41L2/lzWoRDqvood0pVfRxWupVSnZOZXSU1V66lHT5qvecarSg73W7ZsFmumllWJAmlpfGsSyilZRVKPCmJRLroLKW4H9CXsbRMFfeiD9WKUGr9XnmPtSnF+IJ1y30cLJCwiML38PvGf+2pJ7jSGRiWi3q63H2r5f5LG5XBfVSG9VJVH924YrkNxk5ZZ/0Js85zVqkQkw2L59mKqjLLGhtyuKKwVW1trRMUbCyoiz4pnCUzO1f6HJ/lesYZWvL3yeMKzwMDGfKFBWlnMlFJ7if0nfq8MWdgBonK9BOSqwzDmzdttkFJEy3nWmyFFhjGyYaGBtlXFGMisXloRIGK+sQdGG4nryAqFpSfTyZiUQipxaokbezYUWXb7rhDCzmmiHyVP+1r0yJVvjAZEiEELGAp19zoCbeEGD6mDcBGtwvHiDdLe/t52ygxHR0wjWsBdrbJi2D6p0sdne0zgPditwIdMc4DU9RWyUKKVtYHjPQPLVXtkzu2Wa9iWErzxpStodzi/RSIi1S8gaig8gJOaUF9xDnXc0tmrpK/M+ZgK2E/zxOkk/A8rGP2hbXF/sl9hHNTnzfmDMwYUYkHET0eLZDx34l5ypSUsH7jZtu/W2lXFEW8ed1aZSw+rQJd7aqjUq78XIOSVuIyfqqkqgLIaBUKWkyXW2VvT4eIR6lJGabf5ueWyQtlKEM1VuAE8eRSrRaAGnWZnBplN1GSu6x8G1F6/MKyKsurXuqfQ0qp36wU46cazlrdidP2m/QrD5fQ6CMQlet9sYcxpz5nfgbONLXY7o/2203r11ihAh6RdOHICbCl1sqwnD6qSgplV4lbWZHKMmSMWExSttCpq7rg3PGYIq6KgEIYKqQV4A3EPF27Vlz95ZB/GH8gnIyT5wm/+U4foR8IDG0y4Znu2VPHrv8ZmDGicrlHJ13K4kWL7ON9mR5sOCYAJItr85l6GdF3eAzLgDy1eqUa6+ructfF4JqYlS5JQ+djc6FQl7C+ABN/+QGXcDKVlwlAzlDgCbEuaUTOjyjdhRYtgEywZJXujUTSJ7juaO9wCYkATFwkk/3pkxcwiyH59+WeMXV89s4A9jcKvW27CbVtuaUpgzBOH2nxyJtJcovDIDDb19vh0nGJAmxR9WI3AcHSyDuHVA4hCXAHnN7ILTBffLLektdNICg8X4qo3Mhv+dJjnzE5mxgQOQjLlJIhGwacF7aUaJO1wqPllyxbqs9CO6saDY1NTbZ0WY1qT8yzQ/sPK8GkcnMNIz5nayH2CZmnWa4ytLIUx5SMclBuxL724ipMJNI42NcpF89RK8xWnqTMdOuSxw0AjJqiQMFpoxh3lP4lM7/YxuSevGBJrZ3v7pdHTrrtPaBssYuW2ld/93/wCGmmC4Bng4tig4Cl2uyaAaSDoCINyA+YCfr/5H18Rw3LNU2C1Q7l8SqSqlSeJpYuddeIJOOB0WHZ6iRpjMUkrago3IjUr0omlCUAHY2r6JacTcYEmxANCAsuumwwKrjp8h1EzG/uQwvEJ/xmH8ev143nCmPkM3h1BZVXeD7Gz7lsfE+12TMDM0ZUQgI8poqU9aHFRGx6lZoFzgxEXSLX4OXLV0j1VS+7RqfrqA8cOOCAxgJvU0wKiy2IyKTCR8rxDRdkd0OOfhN97BvERO7HADRATBoWUr9Qt4LULUgqIA724W+/f/8BH8uOHTtcHcF1IBEaY+Q7HGeqza4ZCMidpwJOaLxr9gN7bKTtIUMvxeCwg4AAISrAZJGCcrGjEB0fzo8QJPAY2U6Ax/DdYVXwinqVdCcgVDwNcSPGyxGphfvRNwGF3Bd7H7DKuCCASDWplpqB63kGZkz9JdO2q63yCgpdPoEY0M42aYGqLneD0lywWAZVkKhWRKXlzGmpqJQ+XEGLXe291nz2vOWoNsXQwIgIS6eCy1QSWFzhqBZ6sM8kslao10iVEBJXYpTPFOFBSmGxp2dKVabI51F5fBXJnoIu25Sosn+4QxHPB+1E/RnpuRX5m1/kRb8w2rOgt23b5osewgJCYWEH5OMPk/pzw89A4KSBk/B++Y6tAySPdBKQ/c033+yege+oXkqXpOdKEYMcpf+RWU7MjdRegjnioQD4tAQwputzjGNqSoLvnyi3IFxIITA4fJL9l301NTUevwJRYaOYF1UjiWUJLcXZh5n49Xxear6Bk1S7eAZmTFLhVsSGZCoXEo0a8EgpzSIqvAwS64WFDJcG4u4TJ4adg1iR/fv2ufSCnhnuLKYaKxADjKC85Ck3jiUdZ3FTWQ8pB+QAd0iSymJxh9Tafv/991Vg6YCtVj6j2267zWMJSPJHYNrPfvYzj1thoTMG2uUMqH5S6s8NMwMBhnivwCK/A6JAigCpI9nW1tbKmeSUJzSFEYIAILng+YUEG66DmXE8k+gr9O8wmQSXSCJBiiYFEd9JKomjCv2H/FowNkjSHKOhAktWg90wE50a6JyagRkjKqiaCmQvoZFpGDVAhwIMzzY2oWuwZVqoaVpM3TJc1h0/oYj4MnGKqvet34vnL7MxpW5paTpv3Z1agJk5lpNXqDT4pG7JNCw0bEPSX7MNS/3gmymXlzaTzSUu/TYsIy6bmYqF6RZnWVRaIU+dckZkB48cs4OKb4lnZNltKtm6YeMWG9HCp2YERIUssx999JGrIpIRjS5OtVkyAyB9EHqwW4T3jHqLfaibkEyRJjgPRoQo+GPHjtlI/6AtrKyyXMFPpjwc07VRmA5fwyx+j8jrSZuD4xj3yBB8ZftGnxAtCAp9A6PcM1LF7vf9BEMiMR86dMiJCmowxsCYUy01A9fzDMyY+itHiJwGcYF9q5fL7ttvvW1/93d/55x/oRYShYrKpO6itPA927f5ImLB/sbOe13d9NHhI84VYvTHLkOafOrVkwSSNi58Jr6E36w7FiDqL8ZBXYoh0mQoCSBqDWJhXn/tNSceOaoDXkfdi7OnnIAsql3uixgE8sYbb/iif+CBB3yhB47Ub576c8PPQFBlBsLCb1Rg7733nr388su2d+9eh0MkXeABKRoigDps+aooDTxaLr9e1yGRZAjeyL4doNMll0kzxX2QOJBykFpouBXDyAD/P/rRj1xiQUKB+KB2u/POO6PCdMC1xpNqqRm4XmdgxqAz8FPk1MrT4mloOGMHDx20JtU2kf+KMrBGfvkj8uIakfoBRE89E9RNTWdbXLVQUV4tl+IB7S+V2koeXMyicnelZQbyEdlSJJZE85sI308fjSQUuD2vbZ8uAqfVfeZsk4yi85VCf481nWtzPXVZ5XzVF/9QXOWgc4yNcgyAYyVXEZlY3333Xdu+fbsTFbjXgIiiG6b+3sgzkMwk8G5B1hAVkDvOIjA9EAyQPyoyVKi8fwhLjgzuJUrVMtCrtO/ZGQrUxVMrrnxgmRaT5CxnMG+jOi9N0jVtRNfSxuTezr1R50JUuCf3R90FUeGeRNkDvxxHckZiWUj6Idlx5loLEuRce+4b9XlnjKjElFYlW+oqCAoE5rXXX7NXXnlV3+Ke52v1iuW+eA7v/8gX7+49e+yeu++2e+65x378//xXz2parkV0yy23WJ+QPFxiSXGJ21dYdN4SbCCSCC1di5mWpgWLSgEuD4CEUGHfgdvEw4yFm6WaLJvInCrD/S9e+oWdbzrjhbq2yjhPA5GQMh/9OWoQdN30l1I/+PTMij/Y6njPIPSAuCAaEBM2iAwMRU1NjTM9dXV1Lk07PCUkBhKdZig5qdgkT3qKp6E6S+Sa0zTpe1zHaXERGJpcSByWsNVhm+E+EJgAZ7fffrtLSBCUfbItYtuBqGDvw2ifgkGfxtSf63QGhH/lEJlYVAArXBOfLBzt9nQoeG5lBNZLD6KgYV9ABBdCMQhEpOHmqzXkbVSc29/+7X/x7yyWXbt2ifM/rgXSZTVapHhTgajZkFLgBO+77z5fbOitcbucp6SQI/III9AMrq26ukrHc/waFn/YAkKI7qzsLcORSgGkQToX6ny3tba52o1nQdVAzYuFixb681KZr7Wt1e9RW1Pr3OF5pWzBeWCRgiSph7Fk8RIhikinDaG7//57dS0RN/IuS9C4UbkB+RxoWsLcoaPLVGwCjePMNQiIMTN+/2TOtDGvyU2nRPOpzxHp57mX/+eAmqbbf/OdV5DYzc8pG/2D17hsKDbsHm/0y/iG5R1Hy0oUhGK/u8Dq2XgWYCK05DGzj+N+7wQs8J15CMf0mOONc4ExGv07XEWnOizh0MG9onfrTyz4iu4f+mUooxpf8lyM30BfGB/nxvSMOIpkBMnWxxedmTx3/SqjcODgfvto7z6HRVdDSSUKwSktKbUC5ZwDPrFxDCntCjC0csUal1ggCIw1Vw4hQ3ImAWZgPlBv8Rz0wXjYTwOO05X5AbhEHUtyUxxV2hVXRf/8XrxEWYs1NwPKyM0x+ifp5Pr16x0OgWdg8oH771ffmkM9X4AtJHPeMY25poX5B16Zb+K/uDeNCquZKqcdms+t3g/9xFT2mHFwfGhwWKrnKCiTc1j3PJ9v/FBzZi/66jDuOzkvcRw4G2PNJPAENtTouon7+47kP/QX4CN5f+r7dTsDTlRY5AB+aADxVC0CuAlkk3yOA1rSjtOnztof/MHvGylYICAsDkR6GsDHPeHEOMatu7q6tUiLtBDifi7jYUHSIA4sRhYrBIrvgCrnEiPgbpx+ZvQnMytC2NyDRQEQ96vIF9ILAM7CZQx4g4EU6JNFlq18YYwpIqiqPS47jI9DBIjGOEgZ8/i3H7d//x/+vcaH5MLi1eKQ6o37XGLqooF92r/ed7Qok4k63XBfn3MWndqoKAZjDe+Rxc5aDvtANCMiHFlS1SQ370M7wmL38es6EApzxVxMfqbke3POVGML9wDRMseZMCB6z0xVYGLSEzDnHxPgFy71T5ClNx2PnoXrI+I8TniSrkVYBVkxH7iJf9L2f//np+ypp5+yivIKl2iLFT9FY+zACqUaQPI04GRYiBk4hHgAZzmy9TEuvgO3o+KqYIgYI++C8+iHYwMDvQ4rSDjADI05gdC45KPzmHcaXo8cIx4GAkBrVtnsb3/72/Yf/+NfqM9orfJOmEdnPvQF+47DpfZxX367HSdvImbMO0v84b1wPEvxXVxHv8xlIFDJ517Jd+YoMBzJ/XB/B9iwM/Ha+ZgMX+GU1Of1OQOu/nIEpPGxaANBAcCGlSkYgIRD9wXgvvcgGxaC6pI4JOs6/kVrwxERX2tqFzkHv2jxfPvKV74ijq/EoX5ACBxAQS2GC3FeXq4kCBXUkneLL1odRBUwiJQhSAtjomY3Y+oUN0feL2w1Y1rASEl+jgYQAh/jcVWv07g5TiN9Bt85jzEzbBY/iAeiw0LiATiHeyANsYhBeoyBfRAUpKqnn37aSstVSyOXBa4cT1Lz0W8U7MnKSEyEH9WNfI58htRXiHNhHBFHrtP8FMbFXKsrtUQf+ghS0MSCY/bCKTxL1I8/Q+I6+kruJ+42J71bccgT/XgvmoORBDfP74m+s5Txmd/EWyS/Z86ibzYICqpGjfKCc8aP6UiWuFw9llrUNwRqAqkk7sfhKZrPSZAy/Hh0Pv2B9JAeuH1EXBgvMKD3LUSd4elSQv9CsJzoP6P3z9hx5IgYllwrLikQ97/eHn30UYeXLBET3rtz0zwr8KaNd0RqIIgdUgIJTzmPYFv6Z8wQhBHBEtcg1XBrzgFOIFIjsqkwZuaJxvfo3UdzDmxnMFGJliFpi2v7VZq4WzFef/XUX4khKtA1RP9HDBLn0DI1X4xBo/XMElxHG9N7zHIC5pPg+5L/jCniP64tTTE15NfjYUhtxCB5Hn+WCWD04zwX5yU+xp+HvRc3SUg+BzyvMoZL2mKd0QZFrEkwm2qzYwYiSNSzBOALj4WK6NSpE77AqDcCEoarAjAAMJAoJVVZyEgQLAoWHUiOvlpazlu7ooPnzVfNFHF0cP3dkkZiQgRICPQPMCIltJ5r9ftwHoi9S1KNJ+bTCY7QBL0QCdYHiB5ixL3YaGGBAuSMTfyi9hHMFp2DKM85cI5cExAA0glLzheNro2JiEK80HNzLckoeTZu7HMgolAJgbKeAAAgAElEQVQh2w4eZKjzQOTpWmiMFQ81zuX5o/tGakTmgrnh/oNSnURzJS8jxqkBR8Q64lT9YRhR9F8/GV3UIIBwmyxiV3kIWdG3I5AEVwoC0w7v29UWQmCcj7ccSMoJsPbwyTzzDhkXxJx5ZY759HnUdfQBQ+HeTBzXxlwwKj+HPzqPDzhzxsvz0SdzwvhQQfEZLuLePIejIl0XzX14LvWtc/2X5od3xfy6FEbvOgayjhgB2cn0vM4c6F3RH8/I+X4/nc8x9jNe9sF00IAROGYYmpaWc0LEGXby5EmXms/LKM6cIhXwCczz/iIkT0/qS/A3rPIJHOMcHi5dcM14w/rIlwTu9+F5ExvzNwyREXz6+9D5EMaIe2e/jghGYWh0kfdFn7wnJCHeI8gYT8j6+np7++23/bmQfoBd5hWYBBa5JwQsehcRrIXx+vwLTv1Z9I5ZK8CUhqcRqPmfiBAyeSGIOLF7/Lh3EE7mMt0zaroo+q+fE9+LlC4JIo5dE7hYt26dq5e5hv1TXcPOiGGLek79vf5nwNVfLAQA0AmHIAtAxp1x5123OQEA8EHk6KcBPJAzgB9EcwAehIQXFwgVQC4vr1KgY5MtkLEdBNPR0WnFkkDoG+BBHVUgP30a3B7IC7UC0oAjDvUBkHJ+WJQsbu41IPVVAGBHJCxULSgIFmPNzY1oZUAufIK8uDEIShf7fcNxfrCowgKkD+aC3yw4xsBzsehRoQ1KRcZC5pn4hPjwiYovOS2HHlPXClGor4hISseu6xkzi4qxjC98nUPzZ9b4IuLouxyZw4kGlQrzRx/ci+cOcwpB5BkjYgmC1289+7DuxT4QJc/jT6978HzMC2MBUzBW1C+QDRB2QMIgOu7J84S/nE/jL/1iM2AcvB8aiI3+3Q6l/eE9cswRPICkHv1++g6hiJBbgqgxB9q4Hvjg+ojLj/qNVKARMeZY1GeEmFFVwfDACdNnIJbcm3Oj96FKn3pnfOfdQlgoYQ1scF1Pj95lAtEyhxAE7hERZJ6H3pA8IimefnkWPlkfzD3vJnJ/j5gH5oM2MNjn88T8MreMkXsz72gHuA/vGwYFWPR5EOzzfjiOyph74ybfI480JHvWDTPKGvGWGDPn8ZZ8fnS/YZ0XwXVgSjiqt8h860zmg3N5XpxbeC90wSf3i/qLPug5uQWmhXN0ufcTvnPewAASWmRfojjZt7/9uH35y1/We1D8me4ftWieuT5cO3/e0sSx1MeNMAPjkkryYFkYSBLF8rbatu0Oq6mtcYRfWqqIdCFFAB3Aw8WSOBQQE7+HhFggUCyIIaVfgTMB4AnsYj9qq34hZBBWiQygICA4WwAZKQbVFgsdgGaBggxZeJwDweJeLGLgj/uBRPOUZJL6FXBTI+KWQWb9A5I0EuNgQWBD4TNfY+deVJpkPCwuh139zVc/jFUdC0lGqr0+ET6CzhgL3CELH2QP8YA4sAq5f/v5di14EAkcZY4TSzx7QPyo8Xol+SCRgRS4D8gKVUYk3chQmiDojC0sLsZG5mXOzyFpoS/GIbf5BAlRQ3WpxBGBXiDzwHnYhXi+SBIBUQ37mDxXleaM+aOSJkSReSyUIZp3znkQdBBTGBMcJO+BftnPuw7PiRrI5133QroLsMB4gAXgAGmAsdA390CSgJvmGH0SAOjvQePgPO7HFs2F7BcwEcydBs37Y86Ya1SapPsBHoAZEC2fNAgcm8OLxhwh6IjzhzD7HHM/jYk5w/DNc/HeYZ5qhPCcGGiekAAGlP2aOQ/IWLt1bUT0mIsA+6BlGC+YBQgVawVGCgYM4tGrJJTkvUM9S8VTiAiSBzCXC0FTC88PrCHF0hdwBDyhImLtwDwxJ4yR63h21iuEJbjw866wZ8FMcD2/ee+MhXnK13PzHphzsnsDj1zPO0WKZfycxztDPcWc8dw0XzMac1g7+uotEBXmI3nj+TgFuAcmO+SUwJhxeOGTd8X7piVfF3333ak/N9AMOFEJiIxxR8gsArZ8lfXddsct9uCDn3cCg9rKEa/O4xqS3wEQLCyuY0EAhPzOVx6tTgE6RISgRbgRABYgJr2FG+3VR6Yikmkt55oN1QPeNqjKgGDO5ToQD4CPayUH4CQBOLjBQuUHw8CfpWzGNEC/sbnBx0LgI4sQ5AlyqK6qduTGOANiZtyMF8MsLssuAchGIJ7Tg9y4JwsS5A6SdyKjZ2QeWLBwo3jt8JtnZyEWaTxFen6aZ6cVwewTQkHCAoGzuOiHhRSQIfNJP7549Z17QqCYp8JEZoJ+xfT09Ap5a/zMD3PA+fQDB8sY6BuiBxGjD85hHkk3Ql8ZiTxUVNSE2HMcAgJXHFRLIEPmBOJEXwGZch5jAsHxTnLkMk6LjcQcqQVYYB4gIvTBxv6+BNICvdAPG/3i1ZSp2CPasLIgdEtCwL4Gt4+6BuM1z8K5ZDuAW4bY89zcB0kGBEnsCBt9jcqGBILEJRxiwTz4mPS+QG4QaZ6DeUMiAYEyR+xjW7Joic4ChQrp69l4L8wFY2DczNm5c+cd6RcVRUQRlS3PDPxEyD5XWSJKHOZCqqL2znZfM9lyloCh4r7AAY05pX/eLXMO3OoRE8fyrEzPXiwmLczVoMo5NJ5t9OuBXRgn3iGMC/PEOEHeEDHmgN/AfLkcEYA5YEWyofff09/jBJr3FJhG5ov5ZI54fp6N9xGRh4D8uVx7NB801p6fod/s8y1xDd9xIuDe9Ml8Axsjo8BGtH4uuJbrEn1456k/N8wMXERUGDnAzRaQONwlnBCuvfkq05snjglAxbYQAWKuEwy4MQABxFqmlCjolbXDFyTcFccgMg0NDV7DBECnP67DpRLRvGUwyg3mnJqQgecP03mALMAIYPeLy4aboiH+U2+F8YDgAdYe1a9gcRJMyVhBCCwKzoFTBZhBSuwH+fCscGpIHOQKw92Y/VSChNtjoXEdUgeqFepngKBBcCxazoULBfnxTMxbhJi535jfh3liY3ycw72ZD5AJ3DbEgDFCqJAMkLoYF0gPRwaQOJIhCAfOGnVEIBo8CwQfTtbnR+MIxIbfcLvHjx93N+1IXx8RbKQLkCjjDguYdxfUeT7fGiPPR3/8y+hjTD0+juhcShP0jBMVJBPemU51OADB0ZirQSEq3jVzwLNxz48Pf+xzxZzzzKhFeXdIMbwvVFfh3WELGx6WRKrrGRPvEYkIhMrcgPx4HnXr88574Bz6AUmy8Ts/HyYh388FFsNYOE7fBz8+mDgeIX6eD/gAgTLntHQFNKKuhalhviDIjAEJmfH7O9R3ngeYQurAdgXBbO+Qg4reFY3ngHECgbMWYF54H4yF5w5qUwgM8Mn5pWUqP+wwFDEZ9M+5jJ3nimAq0+cjuj6SvCHUjSqxTf67SGqNtATAIrBJH6wl1hHzCLPGszFnwFG35jciIox8Aukz3/wOjfca5jTAFZ+ZGVE+NVfDah5hNrmMZ+d5IzKuuaUjJ6gTfYa+U5/X/ww4UQFoAEiQHQ0EAlBk54jDk0cIfvCos+Ce+vtVU0IeT5yjykQCUAG0kJz4Ri501VKu3BY7u9qFOEGiIHOM1BJxFaRYUJDri6a7J+JkB4cijp370weIjIVLgS4A+9y5Hhkl4aAmCBdeL3A8ixctdaLCIoTA0VBTDam2fZayEGdlSB0iL6BFOg9k1tzc6oSL8wDybCGy3NwIYbeca9CzCuGNUr64KwHkGos/Ox5rERfGbwI7z7U2+RygGkkj/5i8cLIV40Ef6MxjMXKWYfhOGOUxztJXrF/ESb2xcF29oEhtSQ0go7ExbDmoWWS70XPQqBszqv09PZGqSqRV6zCy77DQWYzMM7iOd+G/dX/hMI0vQkyMAc+vvr5uyxzSO9ZaZb6FejVXkUQDdx2pJ+CWRYTFoYNI8VRCykPNhSMA8DAwQHZpIUuNEdiByKfrneT7/SU1yR0Z4sVc9st9lvnsE9zERdwEVnoe7GYRjDEPeB0xX4AUEpcjQh+k5lzDJO4oW5Hqg3quIc0zcRO49DIvztHrSYaVEaG7R4RmKFJRIu1mKC6CMXjckvoGrpiXvn45jOh+zF9hUb6Qm8YGEhNMAOfMDf2hqgnIGuQacdiRswUedQODveobT8U+zVWPOkDaQx0cEXz6aG9s9UzXrBcIAnNcqLLYbqMUfADzeNjFJHn0t/XqWlTHKi+ssehUl3yAC+YQGKR1dXIf2Y3E4OTnKeqeuaUnwYIJFju7zuvli5DrGfkNzMWGI1hBGhgSTLGxhni3EEDUuf3KZ8b7pC/GzlpH/cyzcT/3ItS4aDwHYxzfdE10CGKjm/sWzvEr1AewrVnS3MXFbDH/rMMRjQF8k+iAnjR+/da3VLvxZiCiIpcYN4iYRY+NA4TCi4frBcB433DjvP8IIUbEAA4TjmagP3K1hBgAvFzLAkWHDPADvHyyj8UO10un6MwBTvY7xypkONOEa2QkknKwl8RiESftUpQ4OhqcHHMBp8xChttkY05QbYR5CIGWGr4/E883CBIUsS6QtAFSAgHTF7YC5gruFumEc53L1D3oh8Xuc697sOi5NwQMbragrCC6TnNE33CtXN+i+AUQInPNnCePHWQSIcvINsB19Mk9GEtajFHD4SekRvWN+hCJjOcPEhT3iZBBZG9AagJhMgeRMRcGI0JwcPjck+dhrng+jhFASH80xsH7p1/eOfOZXyzplbkSswCcsA+4oUIn50KwMiWFBnsXiIn96lpjjVRljIc+GFvYuB92lO7EmJGOgF/GFdlBcFGPxgoB4HrmslBzyRzxPFIAOvINTA55wLg/8JvM5KAahueuKK/Su4pinwoLorgo3mGZYMClcxWZi4nJaG/r1j1g0ExBv0v0HF3jCJ9x0Jh35hjYYF5huvgNTPHs/O519ahgTnOmBx9/LzxXeBfMn68vzYP3I0kHNR4MIPuDZEcAMMdpzKevWfUTMQK8SZA+hEG4wYmM//I5ZU6CcwNzDPwxH/yNzo8ICotd/31f9D3az/XRpgtS7YaagWmJSgQBwCvAw4vX4hWrBwcOoLOQQAogWjhDX4BS0wgcBIws5sgwy3kgjYgYSa0hoGahcy2f7AcpIJZrhTggOyckTtrVBAK6mSRcPIsvWCEQkB/EjHExJsbOdxAYCyxSwUREAP02qgeaSyxa9OE6kBDng5xYcJzniO6c9PhDSCYiXumKg9An8+uJL4UIuL+Wto0ORu7PuapWSZ8gPhY8n6i6+A6xoTF23lXECUcqNe4VngOEwrOkw0Hr/YVnBanyPKghhNr8Phwj264/h94zCJB+nfCpH+6D+gIY8HeqZ+T53MYiIoR6DvuJg4zAhjng3iA83iXXOLFMzDV9c67Ph84FcfGMwBTEDILkcKKT6Ivjjkx1PfehP65nfplDnjncE7sBv+mH+/gzAb/Mha7nPGCR5xmTizC/gXEQcnqOjmsM3J/7eTCk7oN66NfB5DC/aSOa7ETjvTAuxs53PgtVq4jnh/hCFBk774J9MrX7O+Ia9rPG+ATW8zMj+w0wxLyn50ZMCPMDkeS5uQfPTl/MK3Pg8CVtA33HJWlyPn2GDdhg7fv/qfZHR8fP5zr94P//3969L2d1K1kAB9+AEAiXmsrMeYMzTz/njeacqpNKQhIScMDg26zf6k+2QxL/hV3jyifY3vvTllpSS1rdal12/eb5kt7QXRzY3u8KB64VKrsBzYI7kEnfdUqelTQ69gBcTEfRcHbTKX/MfIsG6GNFtNe9fLI3UBE/YED7N+qJrpLOvAtk00hp7wBPpzAf8PxZJhh333buJt0jac8xFzctuHS42nkDOHZU+3SxORQrg0zeO8PMjnkmvAcHlqEyd8V2bpNl4uhcJo8rgFLG3YOMHhIHL473mA9ntdOL5y8DcDEJZmf7AraPMQng2+5uOjAzVsAEuOEX2rPihz3eRKwVbI/vvfjqZWk4qkTccxsYUwcfY7pJkL57++aw+SUM2tHzxmq5CsEEAkIPwnNauLDypC7QgQp48OHo47xLXrrjPnUi3xZcFIjVdwSjOrXSjyCbuYWxlSu35cq7OxndJK78AzVzINJCQ3nQVGZpE05fPX3W39qOwxTRxeN3MQtZ0aWMwBNNZpYqBeH1FwFZ7dP8lrSeh98zF5JwKY80Eqnt8CTlN2KSxnksjXOESZSEDYBaRcUspp3rA9qCeq8QDI2bVnLC0uZXudvnoqRoX0YRjhyiDOA54DXXZ+5GnuWVoDiOiWnvJHzdm9EaC4A8qysr5w7ua5++UxTFJDQsXtDf1RchjC7h4tgcplELZaQ9AmBMXWFDw01fVRf+fyoUeE4LTM/o+xnBzJzaZZwr8a/SEGDr7hQHrhUq1RRSqTqxxu3iVsPRSQGExqpBayyEzMEHx6mMmYumCPiW1kxA+M0BFs8utJbmpPPQqL3vJPUNCy6gtJe9LdIzarCCJ14dCQAR+eNP+Bgl6JgARrlrmkqZjEzQ0QfwrftMwi9h20ET1sSxvT14sPar4GiXlYZ+1MPhTR6FAZzVQKM1EnKCEGyH5rXyG2jvh765GcLB+9rII0iAgzzIF22VVn9yGpPXSUaH+Qdk7P/4EHC6MGskv55Vc8uXNCyE4KHu5an5SpoJUodXJqAP8x0cfAJowIfwEvbHnPosrrp1x6MB6vAoX+T0TxnxHu/QqEktYI93TEJWUQH/RaPCILQUWH6NsszDyCcNWzrCv82oqWbE0MYHiox0gCVaA5LhbeK27uQvz9oiQecSXxtQbwqtbSoXGjc1Ole3NrUrx3LlXXiLSXjk6rxR+gnhTBi3DSaMvqZ8wNyoUFjQ3PKGp8tRYJRRGPUmnDD6NOGqnzdu6LSPpB3hAX91k1vb6Grjfi9sKHYknrt8SH/ztn7r/dU4V5/X+xVz5Xl7///PgWuFijZt0mwqVgMdTTP6TTvadx9fFbg0Ko3uSVZx0MY16sPDb9qIgNNZJi+7fj4aJ5ML0KAdv8nVSdk06r29AFPMMDqD/THVmNMSb0Nwya9RgUPz/p3j8dndrbk3GnEmWTtwwHy01Gjr6cQ63XFAfzqUZclZMVY6AdzwyYhEmZkQdKb3mQR988vblg8o4emM+oyCBkAqSBNn+QOSo4wWsjSgAmRnx/LON6VNe7QCjqmIJo9fylDtPfQIpP3MZ5lMx9PdLN02snl/Ngcboo3f8qkMRmDyBQCswpOH5it1Y/Rh3gaAT11HY4+5E484fPohK5P2kjeOEDO6Q8/yb/EBvuA0afwjjCwD/yU8kRc8FuDdr5aOZ+Nh6BTkkuajfLLXs3gUF21NHPnrSCcaNmH7NoJNe6F9o/19TmoQr3udaOcRKpl52bTjjMoyEY8O4Tt1EKGcuI2f8OrNaNMo9IcIR+V9luW7Nz06Vz6C4jyjsPIm5TRqtIgAXywgiFdWg+VUiuSJYCDsHuYo/pNdCt4I1QQpgJu7Uw+Eqnkh7dBqTPVDWFIwnCxgZaYFGT7r/eSJJdczEhWOAkOJqtPuk5EL4Cc0cnG9e75yNZyXWTQzwQg24QdbJuj4zTN/I1F0Rdy6u8SBa4WKDtnOmxJpGJ51Wv4F0/gfBYBswPIbGNlrwhS2G/OXxl4bb1AW0Bh1OPOL01BnyD6TnAARKAPrN+zWMc2YX3idLz/q9ANmNyO4CAEr2QgTS1hNcsufcurg0ubnBABHzwDJ1cFWmAW84vMD5Csuvnnm7xkgEAqEDp4J6x0HuAgCggLPvePWvVrzxm+NhtAECOYz0CQA5LkAkbCWg9vnIC3x0aWREqZ+yw9N92JzaGg1vYQD4uV/ysVskgLUBGUpr7S8N3fBhPk2lzon6A4zByWs8uCVPNYlPH+/+IlLOK7y8/Ms/4TY64zuem5cwktzneO26HUTYWha8HCxMCDxlQcdfPftnsUrAgYfmNGk0XSTJn5Ib8Uxh9Y6SBgCq6vjkocvM8d006PzqZcR9guQy6+UZwly/gSDOmDWXGXhj09ocI0fP+1S3Vh4gVdMXNqZulJm/bplTv9ECz/UqXbgN6AQDj11jo+953k57zh/P73q39cjKFa+JsoKfTW2Z66R5nH7905w4FqhojEtECrYtePlHK+YOzjacZThOuYc4PH9ZjWMZcfPcny95ZXt7FnaeXySVSpp7KdZ8VLbuPWigZcP+cIRISQ9WpIlumeZrzjNrmVN6qYFlzI+ydJSHU9H0SF1Jh1Lo+5GyfjrvOY21h4Z711MLTsxObkTTLQ6gATQ0AKAbNbmN9Dnb0+FZ9ojoFzAa75J/AWaeGI0gU/Cdhly4gO587wDNjq/O21VPREmAARICEeg2IFNw6WtL4FoNLK7a0LXqOzdvZ+zlBidnfvKxfxhySsT00y078dcIu9OHD7LvNFelgLjD/4BZOkDC+ADuOXFnUDWPvCtAB1/5cPjkzOjC6YxK+ZCM3sZ7sf2c3qW0W80cyOo7757FUGZ0dhu6Bw4qSB7MKJ47O3T3tOeUkY8pAhIX36kg4/SdawO0PRe2C6hNYeQtKRpye7798yDRnQptbm8R5k/yFzQg4zwDlLWs3z4jfsuo5/bUHJStS0bXmoDHJ75rQ0oR4UgPqa82oDfhIU6tkdLjqsEJgytH1+WsHGcfys7YdrvUhePIzDXyq5Xr14Vz7U5jhmw86QheikQCIi5hJG/4ZK/v72kb8TEX3ornjvXZch55+enVwNs/9wZDlwrVFQ4MwWA0tg0ShoK7Qhw2bSnodDS2ZjHfj127ofRFF8GzKyUMer46fVslDzOenmNanXMNrA2pknnQYbwp2d2/0aTz/BbR7lpwQXUDg9jy8/ErdVO8sYp91yzUqiaWvwBmNEZLZumpyPbGBpdLkCZjp8O2u4TAUHwTsc5z8KEL/pMw0RLJySUaNXuOrC5EJPLRh6AQxh7MeRDHEJL+o8AJL5HCFtl59nCB8fGyJvwjr35JZq+uhFHfEBS/ocukO3GswhwdXuc5dTiPc6Etzw9fEDQ7nRiWD4AtXqxF6O0ikoz6kBrgZzl1vIjna+//rr+3mk3uzG/rBFFP15lFJu4A0IAhakmZrb7s1/iPMJlmeieZ9OfHeEpQevp+1f/W628bSX5wvNks/W3Tm8wMibUmvfkiUBRJkuCnz550fI6afosix3sP1JO/ASCyuD7b/K3wNW+odtQcl68mLk79VIXviwA1i6UmRB/HKFphK98BIZ6Vl6jO8KF4GYRoAiK03rDqDhlvOrQZ3Ljv9Ja94ZL8KtxxF4Urobz/Ok16fCfSO4Xzxsq67efV99P3O3fu8KBa4UKkxTtvSvAAiA08R513o5nZVYALBOyQNKQm1Cp/TqN2ed42Z4fpJEDlw/HOWsqprEjoJhOqnHT1L3TyWmoOq7jXY6O3laTh4C3IbiW5vcwQCNPnE5hdKGDmvfRaXVQ+WafBrpMCY+zegkIAkrCRYfoxGfC7UXrlf8KppTZCce09e5NCVigJe2vQsdEezhxz2owk/Im9Y3m+uVMgiD1ABSAxvNnz5PmHBkj3eMs3ybk7TWwkACgMjsCWFq6fBFajkGRt53kBd8dGSO8zXtMjqcnsaln4l6ZfSTt0YPZ6+J0ZeeXoSMPu9k7pJ6tECOAz6LRG5kphzLhEwEiTV/shBBMcslOw5vLEW4E5Zysa3XWiuNcuINsXiXsX//0toBodRwBJW8EqfJrl/LWRQxJg0ComSrPhLmRmXk+vMEn81EEhrmHpyl3jz3JSMUmwbfZXGjX/3lGyXWpxxGMaQfh59Onz9smvv8+54Xd8OhcueUbr813aH9tlykXXuKj+qPQPH+eUWj2qTBxGpku02lPk8go70MEJUVkTnxw7t6a10Ar9Rh6LnTzN/f5M/7r2V0Q8xzufyA0Gq+h/uD9xj95FkzbvErD23j8Oe0G2P65Kxy4VqjQkCGTRq1BWV2iUc5STECS41gCPjqyDY80Jd/hpinTgLUS5zCJowNo9CfvBpgJltG4srM+35Cv1hXAIKg+fHToXkY8oXMbggug65RAcDmN3vlMzvHSEeQdqCoj4QPcCBPOBLt8mtBd8xn8lQHf0FU+AM4MZTc1+oQTvhAcBMpJtOUZJU0PNUqUxknMhgAGsBBmgFrd8JMvoEkgOzJEOsxOs0coQjvvuAr70KIYqE91ArjU086vc5TM7m7qIkCMlvfqThnwB3ARBJPvCK2mz0wI4mbjneXXKXVXXSmBvKBlJIseJaU8zkt0AeNuvq2BpjZkUYPyEtZ7e9nIF0FgFRk6Dx8SmM9SFwTGjIqEtXIOHWHQrFBJ2kbQjojBX3VQjb18zwgl+fwq5eYvX+hVgQod5UKPQHHJm7qdPO1lifMPpX2To3OKBuEgT+pqBHBMe+mOO4Rx/HfzXn3rg4RQhWj8KHOORzI3yeGJK3/86j9SKcWKy588KKPL7xR9/HB6E2buw1NhVvjLe317zoOwCfG7MPG6EIwTbwkWyTUhD4Jt4l6+j9fW3SEOXCtUaupKxxrt1M7imGmiIb45z475aO4aAwCrRhVQ0HhNyOvgwCk6bBpJWrDOoMPmAirAQJg5ZNHKsDGV6OA2EQJetIDZbQguZiyjLZrrjz/+0IatC+rMBJ8yGjUQKPzG9OVwvwHslX8A8DAjF+/RI4TmaJIB/WX7Zo5A5/HjOWEWzyxaHiCjKc+KHvzAJ2ZAoI5vBI1wlpMSKLR7wE3I4RXh5GgO/gtQ3IVBi9ZqFMShZQRmD4KyKTiB6YBGaQN5aamzAtkGgL9IvlXr+wgd781xcEaq6ANwwIiv+w4MTTspaCeBSyDKc9J/GkEh7Q8ZndorIpy0meze2pQZvgP9J08IcemkVaVsiZoyManNyjTCVrrOagOd6gwd5Su/MqKRD3yykdFhmKc5CgSMCScNbdsnb/028laf2izX0WfKeltKzgi54Zd5HxYBvDvKpTwHG2FsQURHq53z2KuSp76UbDl8XoK4n8DOq6mHKf+qEw2AoOXGr8YrSOwAAAwfSURBVE95rleEQtq7uA03ebuIG/+d8Nw7EZb/osN/xcfTq+83qQzt38XdJD5Z2P69Axy4VqjUtJGGkv/tXM4lWpq4qrbp6jhLLc0BAFAAwAzSieZ07AJcQMBw1zsXbRu4OThvQIB2PpO2QPLwrQ1u2Ukd4DBS0fhuWnABP0LjxYvnFSpat/QrFFJ4+TS6WEuGdfglUNQxALdMmis4pVPr+BgH0IETzdb5ZCZU7RnBP+DlAoIF4gDd0fl8KwYQKLuRBkDpIZqhJf7JybfJm0MUHf0+iwKAgbQ4fL8fjdtv+eDblT6pmw8bkJQf/Cb83uUsLHT3sgwXIAFXpxnv5KwyS1vldwlOgk0YwmPSGxMfJeM4y1LZ7pn3LNKQN25/I3RON3M/2oBy4wGQRwdPjaKYe3zd0PJup1w744vww4vyNCab2emdUsWPPy2dWbCjuZQ7BKsMWAxBqCgrsyM+EJhGdhSe3RwKyZXPSUN+TdQb5djvIk8iKZNNmPa43JaS03mdlA0Ad8FB+gynLDU1p77Vvzk499VfOnJtOdKuwgfmQSZQ7Vv/s/Q9ZOMW8E/557dnvF7vr94nHOEgAJ795kpQ7bivL2hfhploYi+/qVNpobNJaeKX9uX7vtz+uTMcuFao6MQq3LxAMKQapY7Lps3NkuBp5Drsahy0zB5nEbOBb6ID57UMM222jVszQl+n0RiFobEe5bBCmjZBsiYkb1pwAcmewJo0dU4dADABXOXVGYF+XfjB5GIDYkEzv4UxwgKU4gnLDMMpn9/oA7jyKf46L/9OaoefBI/4Jui7ez4Aez8AR5ABkmp3iUeQey9PhNmufMaPsKe1GiUBWQBYoE8aKw8V/PnNKSfwBzZnOeBRXexadZW8tC528uG0zHOhR+AweQojnvqtQhHtuOa05MHo0jsgpyzKhv4A9czLmbMwKsID2rf2QnjYzQ/AAbp0fsoZXz7XizYhtubV8J1CspPRRFpPVz0Rbicpe9sO/iYPBLHRHUUAoEpnhK75nlkZJn9fPGKidVJCDqq07yZx8jPpqlNtXE4JFUuvX/f91//5H7ei5FTga3dpR/KvPxCM+COTyoG/eL76qbb3UwTxQHTKkd/elUcpr9JoG1ddw17+aT14X57NQ4NPkFEEhp9LOORN8tP3m9b96Xs8bZgoKh6vzqlcxN3Q+DSu91t3tzhwrVBZYEYLPE8HBXi0TEtjaUGzE3w0bpPD/DQB/h9zltL7Ayf1zlJGphHgZtkmzeodLVAjzIYoQgVIcvfjv8MclN8zCRsTS0CKdqZTaHTc5xRcBR/0kwAwkhDbupR0Wul2OW40eAKEcLDkUl4sWXXXyXVYndjF1MUfWAIGwI+OEcN+gLqjm5hq3mTe4FE6vHCEmF3gBA1eGnNUMIQWvi/BEsKlI4T8qRfgC2SAKCHJOWYEoHhnvoewaHlCGywri0J7XxBNgY24aPjCHexnp37MSspL+ADi0s6eHn4ESOd24i9P/hnN3s+SZOn6xog2RDARmOIQUIBfPEDPFIdfiruEH34ZNRkV+FqgiXh5YtoyLyXsOgZeHggRddXy5eWD/CZU72ckIl15VheT51l+i8bHjzhIm9/Mc+W5LTjeyio/+R9eMAHnXSLdxuhcfgkV9ao+Z65pVt6ZcPfhr6Xo6HdMm9xSaj6Gf9qf+lVugp3Zrue1jT7Y8G3oKSsuLNfepS7nofE/fZfKjlcugYTt84Tqm8tXmyB8J/jVeI3bV5fpLZrrPvkY2tu/d4MD1woVWiFTQRt2gADwWDEE/AARwNEBgFm1pnQ6pgqdO/CSdqF1DUhb8w+oD6L9cjqtxn5cLXXOjuLnRNcHCadD+5ZIRwMJX3BImjchuPpRpGr6h90AqMPS8oAeG7s0AR1gNSJgegI0gJdbNmvClHApVEXL1tc4fAQEysD+DZjw6SR0babkFpDgKTBwPUoYpkFmQGnhiXBAlMaqXphq0H+VJc3moMRDn/DCO+F1UEIJyFsUAITUDYD+9ttvI+DyhcUIzBSpJwHv7Bw2zPn54b1/f/NN860dMFURAL/+qvyEzpidzrLsV9rKR3gxF3kmOOXndeIQLqSBPBml4ClFwwq5E8fYJxMWgkhDXAqFVWI1QYU/TKzm4H78Mfsn6lKm6CWEGNBVZ+rrLEf2e1ZGZVZ+eZBveaZAaJ8jiH7uCNNo2nxNV8dF3KpbguxBVr8llZqfHn/xtHRvY3Quj/Mph6lb9UfIaFAWHhjBUfQ0LwK6plLP4amycfz0UXGFI2TPa0ocAcSzbyI0fysUptEuv6t3I9fSRvOTa/k3QP6071+589+JGRR1eVM3gw9SGHOol019k+eVd3G37u5w4FqhArSWqUuRjBjYvKuFZ3XJ0mAJGQ1g1xVAAH4H+9nvkUbu+xvt0GnUo5FemhW8B5r+6fAamfj8OXQ62ZsOdJOCyyQ44OFoh8lAOiQzUjTg5IGTP/ma8smnDhbzQvyVy52Tc51kVhGNlsgffVo6wYk+WuVTwI+AGQE7pqnVIfFVJzuyOTRhTje8BYg0fWkwiRREAyC01tbDpizNW/KlXo4TbgB9+Cuf8lTQzcZU6Ri/0GYdccI/UZLHGZWWPwFv+S4IBNFTax2R7GX5L4GrXITqcq2/CEnlYJ5Cg7CObatB0PqQ51X3PBvmCq8Jm9UuljAySiWkLH92JwDkFR3XKufaRCq+eiQY8ZGgMmfy8GC+whnjUvg2dSJPrZsIKObX+zHZyDNQZxr0DRdOO7ip0TklZ7WBuSf/RVspr+e5//69MHHK/If3UvCn9Xj13uDj8bt3qE0e3H9/ictd5ru/Ln5vfpVGwyC26DTehLiaH2n6v3V3iwPXCpUCSaCjHYhmlA5Joz06mnkQYAY4aB20VgBQoARwMQU5GO88O5HbCLMPgbbECUO75s7TSce8ADgBWrKUnfa0X+FuQ3ABUCBLC1wmFG2eRrgTsFlldKZSNcOEF0d7JyS6QuwCzBy6yLQ35RUeHwkewIqXQA/4AWHapEsaTTv+BUB8CA0mIKZHQEeAjGloY9ZJGCt65Z1mjnc1LYWWDiu8dNEGqI8sH86zeqt93ogm8e5FaKHhyHuCStnk0UeZaP/qTxkjQvvOiAIdmwbRwgfmLjSUbwEzIYC+3/gEJExAawVLkGasUYGMH/a9UGJknyMUTgm8pN9Rrp3toeVDZqfSSxvxbj8fR6O5h0DScRLvIFGFQ4ihE8JDM/mTR+WyQm0/o6rTmnPtK7JUebqEOps8KxPhN0uXb0vJGb7Lsv5z9T79p4Xpu/Ve0DyHB3WePXxy7wqseg+P8G+C/cH9k7gEbKny//QqkZLahGnO/ZnfeWWkwl2dU7lMX58Zd+k3eVr+2/vd4MDU8p/kdYGLTtg9FdEMdSoAUBNOOqvzooAiwGTa8U6j0CkBjt3X0xABdMAtAIAW08to7WMuEQ+dR1mC6rvVBabkC8AWiJMHmjrQ1G2A5ZOXj+7985//uvePf/zPvb///b/v/e1v/9Wv7B3kKA9LmsWrSSr7XpjZIiYSD7jYQT52fenIp/0a9tzYhW5OY+zvHwLq2UcSYQNklVE+m4HEkw8gh4YyS89RF+uIFqOr94njHdCzIQ1PATTNl5a9H0HFoYP2TE5n9RVBk3gvXr4sMONthfYmnQJlnnd2Ym7bCOuJn/zFX3ds3kLfsz0NNqP2AMGTLCnepMVvb9+ckKXAESIyE4e/zEoKS9ifBaiTWpWBJ/mIlrL+mi9WSlNYv5WbqW4tSjg4GAFmFGN0gRZeqFNavrkW7cBBkL5NXyUmfKa4GI0REmjLk6uc2vB7CWv14kw2n8fl8JVwNjraT1hzXg+Tnrkp/qepD3NfRmTm6aZOzeFEYYqw/PLLKRsT3uvXP4eH80G1/XzXRvmUWXlucnSujUQ8buoi/GqlrPufCZUEariL20U7WO0Bf/TBq7/VB3dxD68mOfXdF4ts2pp38VWHuX5rwhK2EdZtE5Z3XzS+EKWzoXGR7ua39xz/9W58tn/vCgei2KTnbd2WA1sObDmw5cCWA5+BAxtDw2egtCWx5cCWA1sObDnwl+fAVqj85ZvAlgFbDmw5sOXA5+PAVqh8Pl5uKW05sOXAlgN/eQ5shcpfvglsGbDlwJYDWw58Pg78H6Kgpg/dQB3jAAAAAElFTkSuQmCC)
FAB = 57,12 kN, Wcarga = 0,47 kN
FAB = 24,32 kN, Wcarga = 1,24 kN
FAB = 32,75 kN, Wcarga = 6,94 kN
FAB = 95,36 kN, Wcarga = 3,69 kN
FAB = 44,25 kN, Wcarga = 7,81 kN
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
![](data:image/png;base64,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)
0,0054 mm/mm
0,0075 mm/mm
0,0015 mm/mm
0,0254 mm/mm
14,001 mm/mm
O guindaste de um porto eleva a carga conforme mostra a figura abaixo, o cabo que suporta a lança do guindaste tem 12 mm de diâmetro e tensão admissível de 250 MPa. Qual é a máxima carga que a haste AB pode suportar sem sofrer ruptura se na posição analisada o ângulo  for 35º e o ângulo Ô for 45º? Determine também o peso da carga.
![](data:image/png;base64,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)
FAB = 57,12 kN, Wcarga = 0,47 kN
FAB = 24,32 kN, Wcarga = 1,24 kN
FAB = 32,75 kN, Wcarga = 6,94 kN
FAB = 95,36 kN, Wcarga = 3,69 kN
FAB = 44,25 kN, Wcarga = 7,81 kN
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
![](data:image/png;base64,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)
FAB = 57,12 kN, Wcarga = 0,47 kN
FAB = 24,32 kN, Wcarga = 1,24 kN
FAB = 32,75 kN, Wcarga = 6,94 kN
FAB = 95,36 kN, Wcarga = 3,69 kN
FAB = 44,25 kN, Wcarga = 7,81 kN