TEORIA DAS ESTRUTURAS II
![](data:image/png;base64,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)
Δ2 = 164,11/EI
Δ2 = 53,74/EI
Δ2 = -167,20/EI
Δ2 = -402,56/EI
Δ2 = 749,04/EI
Calcule a deslocabilidade externa da estrutura abaixo:
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 3.png)
– 9
– 3
– 1
– 2
– 7
![](data:image/png;base64,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)
Δ1 = -459,98/EI
Δ1 = 285,36/EI
Δ1 = -523,48/EI
Δ1 = -321,09/EI
Δ1 = 257,60/EI
Utilizando o processo de Cross, determine o coeficiente de distribuição do Nó C, trecho CF
![](data:image/png;base64,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)
0,339.
0,264.
0,330.
0,397.
0,293.
Calcule o grau de deslocabilidade externa (de) da estrutura abaixo. Considere que a corda que está içando o peso não tem rigidez, portanto não participa da análise estrutural.
![](data:image/png;base64,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)
1
2
-1
3
0
Pelo método dos deslocamentos calcule o momento fletor atuante na estrutura [2] criada referente ao nó "C".
![](http://sga.uniube.br/images/uploads/15400/Imagem TE semana 9.jpg)
-0,4 EI e -0,67 EI
-0,8 EI e -1,33 EI
0,8 EI e 1,33 EI
EI e -EI
0,4 EI e 0,67 EI
![](data:image/png;base64,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)
MD = 316,57 kN.m
MD = 392,05 kN.m
MD = 177,58 kN.m
MD = 610,37 kN.m
MD = 32,46 kN.m
Determine, através do Método dos Deslocamentos, o momento Mc3 do pórtico abaixo, considerando N = 2:
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 40.JPG)
153,3
146,25
180,1
121,1
207,4
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Considere também que esta estrutura tem inércia variável da seguinte forma: Trecho AB = 3 EI ; Trecho BC = 4 EI ; Trecho CD = 2EI ; Trecho BE = EI ;Trecho CF = EI.
![](data:image/png;base64,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)
Δ1 = -52,048/EI
Δ1 = -37,365/EI
Δ1 = -74,315/EI
Δ1 = -63,542/EI
Δ1 = -45,122/EI
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
![](data:image/png;base64,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)
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Δ2 = 164,11/EI
Δ2 = 53,74/EI
Δ2 = -167,20/EI
Δ2 = -402,56/EI
Δ2 = 749,04/EI
Calcule a deslocabilidade externa da estrutura abaixo:
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 3.png)
– 9
– 3
– 1
– 2
– 7
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAs0AAALUCAIAAAB/9JiFAAAgAElEQVR4nOzdeVwUV6Iv8L5v7rvvfj4zb97zvpl3585n8jLznJn7JsPM5E6cZJLJMjeJQ+5MxtyYMSQxMTFuIK5R2d2ioqgoKCg7RkAQBEVEUVxAXFBEEZR9pwGFZl+6aeg+74+j5bGqu7rAWgB/30//Ad2nq05Vna769anTVToCAAAAoAyd1hUAAACASQs5AwAAAJSCnAEAAABKQc4AAAAApSBnAAAAgFKQMwAAAEApyBkAAACgFOQMAAAAUApyBgAAACgFOQMAAACUgpwBAAAASkHOAAAAAKUgZwAAAIBSkDMAAABAKcgZAAAAoBTkDAAAAFCK3ZwREBCgs8PZ2VnNKrJqampcXFy0mvsYODs7K7S68vLydDpdXl6eEhMfA+WWVH0+Pj46nc7FxSUzM9PFxcXNzU3rGokZby0BAIDlIGe4ubkFCCQmJqpZRWGttJr7GIznnFFTU0ODoyzH0UmTM4qKinQ6XWZmZkBAwJQpU6ZMmVJUVKR1pcSItAQ3Nzfu6wFbgNv03NanE+HU1NSMqg5Tp07lTfBJcJOaOnUq+zz75YcuDruA9pqfs7Oz+HIlJiY+ybKL4GYty9TYbcRbyewy0mfYJRLZY9Np8tazzcnK++mWd5rytnO2mdlbM+xEAgICZFkKWXALOK5q5SBnjLcvScgZnCfPGezH6cnrM2lyxoQjMWew+x1204/nnMGrCTsXiTmDfYu9RVMoZ7AHOVm+m7HbiD3+sTPSjTJnCKfGUihnsCtclrUtYztnF1lk5bAFxtURnVsV9rapJp4oZ+h0uszMTB8fnylTpuh0umnTpmVmZnKvGgwG+o1Qp9NNmTIlICDAYDBwL3Hvmjp1KvtSQECAs7NzXl7etGnT6Bvd3Nzoq8JG7+zsHBAQ4OLiQqdDG01eXh59hlZJZBFEqsGinwp20Qgh06ZN4zZkZmYmVze2wkRw9OWWS6fTubi4sHWjuwP6qs2PtMFgoG1oypQpPj4+vKMLXdt0r0oL2FwW1hN+VDIzM+nspk2bVlRUxC4prSq3i+c1DOFyidScTpl7iQ2awtDJeyYgIIBb23T7soUTExO5Grq5uXF7nKKiIhcXF9oq6GZi+zMkthlh5d3c3OjpGO5VkYYqbAwiq1RizmD3O+xHibf/fZL9Pq2evDmD22q8oymbM+wdArnjGV0outT2qscrbBNXByn53t7Kt7m8DqdGBMdIrg68nMRNUyeaMNh3iVePrjfxnEE/ehKPbfKmUiJfO+depeuN968Qr4lSo1oVUoi3WxbvM6LhmQeeJ80ZU6dOdXZ2zszMzMzMpLtFbvtNmzaNxou8vDw6NTq0wmAw0JfCwsLoS1OmTJk2bRo336lTp/LeSFdxUVERbU95eXl01+/s7DxlyhR6wGZbBj2zzu3HbR7kxKvBQ48T3L90c/r4+BBCMjMzdQ9DQ15eHndqn5Zkj770g03rxkUTrm66h2ksLy9PWGGutomJiXS56Nu5DURXBV2WxMREkWVhKzN16lS6Skf7qeCWhc5u6tSp06ZN45aUrSp3vLR39kGk5kVFRfRfroHRAzx9VTxn0A3BrU/aEsLCwthX3dzcuJlOnTrVYDDU1NRwc8zLywsLC6OnTnhbQUqbEVaePQyIN1RhYxBZpbycwc6F27h0z04/m9zOiN1/Sdz/cl8Qbe71RHKGsF+Bq4OwMFs9rgCdNXfkkJIzeK9ybd5mYdlzBm+NibxFN8qcQVcCd3jjVhS76cWPNFyt6LvUzBnCtuTwLQ7J1c65NsA9Qydo72sYtyDskxrmDO4zImWTqUmGnMH9SzchXel0g7Gt3MfHh+7Kw8LCeFNmC9P5sm+kq4ytFe8l9gslzT1sJZ2dnW1ucvFq8Li5uXEHG+69tKXSb5m8OXKVZHPGlClTeHWjHwz6t06nE0kGwtqyOYPWnH2VbguRPMvtqrgP3qhOwfCWhU6EPkOPr+ys2YbBI15z2q/AdoNJzxk0QrGvcjWkOyD21czMzClTptBDOG8fxH4QRtVmxCsv3lB5jUF8lUrJGfQPOgVaZzc3tzHkDI7N1iJvzuAdh2htuSOBlJzB20FzS2GzsLw5g800Drt57FWJh3eE5paaPsk7RnJP2pwU7TYm0g6K8uYMusloD6J4JaWTq53zOKwhtznYJzXMGbSlJSYmSmnMahrL703YPRr9Tv9ocg9XOv1+ZnPKNg/83HGLzpeNDiJd5c7Ozrzdse7hl1QObXnCL9Pi1eChnRbc181p06aJZAK2klzOsHngZ49bwpUpXlv2CE3Xdt7jdEy3Cg/vw2ZzP0g/Yzb3pzaXRXjgZAk/jZR4zYWLQLcm/dvheRMeblsI44II9ig+qjYjXKXceROHDVW8MXDTt5kzWNz+l7YWWk9uXzyGnCF+sJH3vAk9FnItjaseuxcaW84Q/y7rcAAHy943XfZ7sL0v7vQQSEafM9gF4SL+qHIG5wlzhnA0A8fmSuZtPuGUuTMgo/ouLlc756EbUWTlsG1gtKvCIXtTc9ghJ6wbEd2fq2Asvzfh1prwY8audHsNxeZ+mSsvfvAQ5gzht2qbhOtXvBo2q01bKt1gXA88IcRgMNBedB8fH17vpfixjT1CCFcmS3gU5x3/bC61xP5kbj/IbVnx723CTggiWHVFRUWJiYl09IxI36N4zYXvGtX4jJqaGvqzETc3N3asg8PRxPSMCT3O0U4IurDS2wxNEvYq77Ch2lxd9laplJxBmH4ObluPIWeI76dkzxncV1Lu+DEhcgZvRlyd2cJszcVbo3CyXCpNTEykf3DrSje+cwZvdrzeKfZYKKXyHLnaOYvrgRM/4aUbNzmD19q5xDaGWcvuSc+bjMOcITLkUHo1hOjoP/L4SRPysE9b93CoCj2q6VTPGeKjMXh4+yDhflD3sG92bDmD/VLCHSTs5QyRmgvfJT1ncLuwadOmubi4hIWFcSNIRHIGHYGh0+lo8+BGno42Z9g8VcTLGSINVfhekVUqMWdwuyEdM4xa4v5X4t5Z9vMm7E+vaYuVJWfYLCzjeRNhrZwfHwZBIyzXciQeDNicwQUvbkSCJjljVNMhtoY7cNuXV1JK5TlytXNePR1uaK6hsk9qct5E2DK5JaWrcVz3Z4w5ZwjPm9BT4HQEvsPzJsKaCP8mdnKGww5n7r3S+8AJc1kFZ2dntjOfDiFkWy277FwNpZw3EckZwtqyB3tnwTgVEcKxTkSwHySiRy/x8yZ0odhlsfnlnp2vvZrTQb7sM+xPNoRNxfnhyBg6RxcXF3bK3MYVZj6DwUCXiDuPw73EFh5VmxHuGrjKO2yovNUlvkol5gz2Szn7DWw85wzy+NfEmpqaUeUMrcaBsvt33sTZNz5JziDM913e9rVXB5vUzBk2W5HNr920tYjXnCVXO2fn7nArk/GUM2zOlC6IMzMobbLlDOH4ODqUUmQcKD0T8SQ5gxBCf6vCHl14w/E44tWwiTfOiFtk9oDBG+7H1tDmOFBueKlwZbKEXQjOgnGgEg/tNg8Gwv2gyNGLCPpXuJPExP4IG5uVEa85bTPcHsFgMLA7IDpZ9lVuzQs7DNgaCseBcqtX2L/CrudRtRnhOFC28uINlbdOxFepxJzB/uaNjafq5IxRYXff3Ek93lJIyRma/K7V3mgM+iQ79yfMGVwCo9Mc/znD5nR4X7u5mo/qXINc7Zwwa1XKIZltqBxNcoZITXRMQB+nOcPm+Axe7/pjk2OeYX+JR6dGd8fcjwMDHv5ylfe7Vp39nEF39GFhYdzvWnmtlg7Y5H6XSL+e2vziKF4NkXWiE/zChf3BIf1XZytncF2d9n7XKpIzeOuTu+4C125obz9dFvpDTfYIzREZGUBxtRXPGeyveensuPeyP3mlJ5Lpq/aWTqTm7K9Mhb9rpYnE5qv0Q8U1g4CHV/bklo791SudKe044c525+Xl0W3Ejs8YVZsR/12reEPlrS7xVcrbUuxceD9a5o1rmxA5g5s1/XdUOYPY6kextwhyDdG313MjrIDNnCFylOLlDG53xH7Z0GmUMxziXdpBiP1tjs1NIHK4lb2d89jbd4m/ysP7dAgzq72E6pDI+CGK+3UPb38u/qtdGY3l9yY6pimL5AzeFY14Aye5feVUwXW6dPZzhsFgYBu9vVPj7OWPRPonRKphE91UvJ58elknbnaJiYnsj1N4NWSPN8LrdIlvb7a2zs7OvO/WvKtdubi42Pwgcb2UIrjLnQnbJYtbFnrcZZeUrQlt4iK/0BGveU1NDV299DpdvEtdcdcKo5uPbSrCVU3fy23isLAwbqbcxcGETYK9VorNAhKv0yWsvEhDFTYGkVUqPWdwXx7ovxMiZ3CTzWOGCuok5wwi4brjlCw5w2GOZ5frCXMGtyp49af/0r/HT84QP6BQoaGhNlcUWw0pOWPM7dze7nGc5wy2hdszTnMGwDgkjKFPgl7wSq6pOcTLGeOKxCQhTq6cIZ2UnCGRhpccUKJV0GV58ktTEJlyxjghSzvnjCpnPM3G6V4PwCZ5cwbtDlFoB+rs7Mw7YafcvJ4c74v4aPfC7MkC9XMGNeZ1y+t2nkw54wnTBvtFedw23VF5wnbOYSeCnOEQcgZMJDLmDHqNI95gUhnRKdM70XAXPtdqHJZDyBka5gwlIGfYhJyhCeQMmEhkzBncsA+RETxPiBtUoRMMxwEAeEogZwAAAIBSkDMAAABAKcgZAAAAoBTkDAAAAFCK3ZzBDablXcKFvdwKe6kce2OS7V0Hhnd5uCf/nbezszM3zo77ASGdC3spdNXG4rm5ucl46Vm5sBuOord8HMOk6Pp88sH59GruTzgR5abPNqEJasyb+KnCXul4tNidD4irqakZ246RfhJluSLI2HBHOrpvnxw/wFGH45zBO5awP2AbPznD3sUrNTxIjMOcQX/+wHtyzIdh5IyJQuk1PDmMeSs7vHIusMa8Y9Q2Z2ieciY0STmD+/jxwoH0S//aw00QOUMFNjMBcoY45IynBHKGOiZozsizdZNqkMhBzuBdcZZ2TvDuaCeeM8Svnz+qnKGzdY/Nmpoa9jI7tBoOz5vobGHvb8Q9ydac3o9AeOaIw3X2ODs78z5Owkraw15JRuQDSSvDdibxVgWvbjaX1OaTwi4rDjs7Xs7gZVCRBWRL0i4WdrOyq5d3dJR4MSh5py/MGSLrh504+xbeyuFe4nZevPmyDcne9NnK08bGTod390veJrb5JBFcxcjesZNbsbQYr5XaW1jujbz6s4XF8xC75sU/RGxDFd6DifeSsOm6ubnRzxf3jM0bFNOb8PGq5OzszK4Q9ujI3Z2YXb28q4TZW+fCKhH77cHmzoGtD/dG9qaYwsLC6vHuPcRbb7yVI9xY7K6Va6L29re8uQvvAS6lPXDr315zlbL+eTdnIYL2wNaEvcaPQo1hwnGQM3h3dqENgncPcc1zBhF8pRjV+Az6XvamTbwGZPO+f9yCs/tuXiDj3deHrZ69FcL7LNE52ixJX+Lda4qrAK0b/ZuuBF7d2Mqwa5UtKVIZ3m0CeOuQt2ZYvJLSVylbT5E+BinTZ2855nD6vHmJrB+28uy7eN+E2Bpyq5GdIFdD3qxFKs/7DIpsYjpN7l+2JO9DJHKlVG7nwE2fa88iC8u9kVtFvAXk1U04U3sNlYdudHZDsJlGGPKEL3G37SUPewHt5QzhenN4aOF2TcKVzNtwLGGVRNoD7/uhsGWyOweR/QPvuwS7V6FLbfOTy9s58DYB7wuYyP6WtzZ4RwqJ7UF4uzLhwkpZ/7zWwlZbWGed5JwxtsYw4TjOGVy2IMxugt1yEz1nsJUXdoHywqmOOeqzjUZ4nUq2hfFqLnKYFA4vsrfn5VWG10bZBWH3Dtx7bR5fhYcW7r321gwtzPs42VwQ4ax5CyhcLexnW2IjGcP0uS4um9Nn3yWyfoSdulyTEHYUc+ucdxgmgs3NLY545YXBjpcDeMcD3hqj1aMfEOEaEOJ93tnNJLKwwjfa/NTYbDbCk3T2ut+F/dvce23espJdKJGgLGPO4H0jF+4ZbLZDXpXE24Pw+wnvU8DrDLO3FWyO6LK5mES0VbMbi/1bfH8rsjeQ3h6Ey8vOQvr6t5czhDVhV75CjWHCcZwz6Opwc3Pj8tdkyhm0G8Dm7NiuMJtHU7YdCPeP3EfU5ok9m4dhm/lD+HnmnhfZZbMrRHh63t4nTTgvbqUJDwl0FnTNCMOQcOdF2VxA+l6bG4ibMv30Ojyz63D6vC/oXHl702c3isj6kTJaRdiTLNzP8urPbWXxygvXtr2cIWx4XHjiPowOhykIywjbmM1uc2E7odgeeCmbmCN8VdhQ2c8pr9vP3kIJ16eMOcNhz7zN9c+rksPGzFtG7jBs8zygvf0DtxGF+2dhPblZCPd49nIGi7e/tTnqxV5NRNqDcHmFLYRIWP/2coZwcUZ13mRsjWHCcZwzuF0AbeiJiYmTJmfY7N5nTxYS0W/tEnOGvXwjXGM2E8mT5wydHVyHsMhBSErOsBmPxpAzbHbU6wSd/CL7FCnTFxKfPrt0IutHJGewB1Fu+MVoc4Z45aXnDJ3gSM9b7VIGwQhbKTcLkYW1OXeusLOtwQ28WdCStIC9BsYOSmDxMgQ7KeEaUy1n8MYfiPR08qok3h64Ns++3V7OsDkdtkkIVyNvZAaLjDJn2NvfOswZEtuDeM6Qvv5VyBnSKzPhOM4Z5PGmwH7vUTln8HL3E+YMYbeVsAwZTc4Qtjbx/gzhTtxef4aUExDiOUNkeJ2U/oyamhphCHDYn2FzowtLOuzPEH7S6KxHO32RAQci05fSn1HzcASuzYmLnFQabc6wV/kn78+wN02buzlhe9YxRziRM2g6CT32NjeryBkrm9UWPi/EniAnjnIG7+MmkjN4LV/80KKTfEbVZs6w1x6EOYNbsTZzhsj+gTcRKYdA6TlDZH9rc7fJPSO9PYjnDOnrXyRn8ObLTl+hxjDhSMoZXHZmW6rmOYNtaqPNGcIziMJpUs7MmDKRnGHzjUqPz5CYM4T7bvazMarxGcLxB2MYn8ErqXv8zLG9M7I89o6OItMXTk1kQ3DTH/P4DC558FZFDTPsTnrOEK+89Jwh/dBO7KRhImiTbN1EFlb4Rpsby2ZlbHYw2GwAwt23SCtiDwOjyhnCnYm9nCEcVcCVFDa/xIe/QXC4BsTbw6g+ZeL7Bx7uvcIPODcd6TlDfH8r0syktweRnDGq9T+28RkKNYYJR1LO4M7S8TrNZM8Z3Ixs5nT2NAev5Ghzhr0K8zYtF7Ac5gxia9Qx71+bJcUr4Cz6exOJOYO3r+d15EwV/N6E922DK+lw/fMOZiInEdgeFOEbue2oY8Zj6wRfwmxuwVFNn9sQItPnvSRx/RDByBLeiYnR5gyRypPR5AxeYwhgxrTzdvo2O/y4ibMv6QS/dLC5sERw5OAtkbP9ITi8TxB37kNYUlgH3trmJsJrKjrRnMGuKN4OkLcReeuNXVc2v8Jyyys+PkZYJZH2wGv27G5E2NRF9g82O1HYpeZ9RWFfkt6fYW9/K7ImpbcHh/0ZEte/vZxBbO35uekr1BgmHEk5gzzcX9j8mKmWMwhzBmfqw6sFcCXZnZR4zrB3apPd21LOzs5s8xLPGbzqBTw+VJs992ZvXVHsADp7642MJmdQwiXlVYzdYdksyVs5vPXPO2UrsoBsZdzc3Hh9vOwshJ1AEtehxOkLv3kLXxLupySuH3am7FsSExN5vUQSc4ZI5cVzhnATs0vKftZ4Hw17vYw65hfvOkF/m72FJXbOanGFAwICRE4HsOMq3B4OS7c5jE5YmHue/XDxXmIPcja/0LPTFI7J0Am+V7Al7R1aeK1O2PvFmzvvSXvtwfkh+pJwryU8erHVEA5is/mSsPLsSraXM3hHUJH9LW972Yz1DtuDeM6Qvv5FcgZ5fLAIb1esRGOYcGS4j5p4zhAnPG9Cn5FyEh0ANGHzQAXjBy+egprsDU17msmWM4SZWhwvu7EpFRsJYDxDzhjnkDNUw+uBE3ZyAxlvOYN2Kz15lQBAOcgZ4xxyhpp4Zxvtnct7muGgDgAAAEpBzgAAAAClIGcAAACAUpAzAAAAQCljyRlj/kmI9EsCAwAAwCSgas4AAACApwpyBgAAAChFLGfwfhbMXYqE5gze5VTZN/IuVct7nvuD+wk+vZYGm13sXdqZd/V4AAAAGM/sHrB5YynYe0TRv3kX82cv9c8mBt7N63h/c/cnY+els3/TL+QMAACACUTsPmrCO3SzN07j3QmXvW+ZzbtjE0F2oXmCd+c9kVtvAwAAwMTi+PjNngThbhbMG5/Bu0Mdxd6JkQ0oXAHuXnzsXRN53SHE1n3tAAAAYEKwmzN4wy/YG9rSe20LC9O/2VxSU1PDpgRhzwR7u3nuGd7EkTMAAAAmKNs5g57+EJ43cZgz2GKUSM7gogxvPIfN/gzcKR4AAGDCsZ0zhHGBHUUh7JbgxmcI+x5oYWHOoFHGzc2Nl2kwPgMAAGDSEOvP4DotuIEUbM7gXmWTAS3JjbegscNmzqBnTNgpcOmE7eHA700AAAAmLrsHbC5bcMd1LkDQcaC8cRjcG7lsQeMC213B5Qw6RJQ3LIOdDq6fAQAAMAnggA0AAABKQc4AAAAApSBnAAAAgFKQMwAAAEApyBkAAACgFOQMAAAAUApyBgAAACgFOQMAAACUgpwBAAAASkHOAAAAAKUgZwAAAIBSkDMAAABAKcgZAAAAoBTkDAAAAFAKcgYAAAAoBTkDAAAAlIKcAQAAAEpBzgAAAAClaJkz9Hp9f3+/hhUAUE59fb3JZNK6FgDwgNFobGxs1LoWTyMtc8aWLVuKioo0rACAcjw8PLBTAxg/Kioq1q5dq3UtnkZa5ozt27cXFxdrWAEA5fj5+TU1NWldCwB4oKqqatOmTVrX4mk0mXPGyMiIyWQymUxXr15dtGjR8uXLcZrmaXb06NGFCxf6+fmZHlJ0dormDIvFQhfhzp07rq6uS5YsuX//vkLzAlCIyWRauXLlokWLcnJyaHseHh5WbnbIGVqZhDmjvr6+pqamqqpqz549CxcuXLhwYUxMTF9fX19fn9VqlX12MFEMDQ319fW1tra6u7svXbrU1dW1oKCANhUlAqgSOaOpqYlWODo6esGCBYsWLQoODqZt22KxyDsvAKVZrdb+/v6+vr6EhISFCxcuWrRo586dVVVVNTU1dXV1ss8OOUMrkyRnDA8PZ2VlZWdnnzlzZsuWLevXr/f29i4vL5dl4jBZ7du3b926dd7e3gcOHDh16lRWVtbNmzflmriMOeP06dPZ2dmnT58OCAigFb5x44YsUwYYV+rq6ry9vTds2LBp06YzZ85kZ2dnZWXJ1fWInKGViZ0ziouLg4ODQ0NDw8PDo6KiDhw4EBsbK1Pt4ClSVFQUGRkZHR0dExOzZ8+e/fv3R0REPOE0nzBn1NbWBgcH79u3LywsLCYm5sCBA9HR0Yr2KgOMKwcPHjxw4EBUVFR4eHhISMiePXueMF4jZ2hlQuaM/fv3e3h4rFq1Kjo6Oicn5+LFi/jdCsjCZDLl5OTk5eVdvHhx7dq13t7eq1atqqmpGcOkxpYz4uLiVq9evWrVqn379tG2XVBQMIa5A0waJSUlubm5OTk533zzzVdffeXp6RkcHDyG6SBnaGW85wyr1WowGDo6OlpbW5cuXeru7r5gwYKCggK9Xq/X6wcGBtSp6rg1YjYZh4aFo05MvZ0GQ0ePceTRU8PG7k5DR2e3CWNUpGlpaWlubtbr9Tt37ly4cOG8efMOHjxIW2NPT4/Dt0vJGXRqBoNh1apV7u7u8+bNy8nJoW27t7dXpuUAlsXU39PZ0dHR0WHo7DGa+YNaRgZ6OgyGrj4j8ykZ6e/uMHR0DqAvSWuDg4N6vb65ubmoqGjhwoXu7u7u7u5NTU30Q+RwiBJyhlbGac5obm4uKCgoKCjIyMhYsmTJqlWrfH19h4eHLRYLxrtxLENNSRu+Cki+OfjY0yP3ys9sXb5o2TLXpZuii5r6CSHDA+1nYrd6LHFfvmrJ9sSbXbh81GhYrVba8PLy8tzd3VeuXLlx48YbN24UFhaKdOTayxnt7e3Xr1+/ceNGdnb2smXLVq9evWbNmoGBAbRtNQwU7/BasXTpytVfrVjqFXyhwsC+2H+/aL/P0pXL3N19/DML24athIwM3M6O9VviumzlIo89Wa29I/YmDCqzPLR+/fqvvvpqyZIlR48epUcNe9etQc7QyvjKGSdPnkxKSoqPjw8PDw8ICNi+ffvx48e1qt54Zx2pydu38P3ZO48VG9nnjWW7XReE5HcTYilN3OK2I8toNVeeCl3mF9FgImSkPNzTIzyP/Q1kf/XNwrLb144dPZKYebFe33z7YkZ8UtqFik6VF2gCGRwc3LFjx65duwIDAxMTE2mjbW5uZsv4+fnp9Xru33PnziUmJiYkJERFRW3btm3Hjh2JiYmqV/xpN3AnecvhK7Z79CxtqevdPZPuEkLuX4tb5RtR2mXurz3ltdjnrN5CSM/prSu9E0vZHsK2mpLia9eyszMOHcm4Ud3WUnw2PiHp+I0GdZYFeLKysgICAgICAsLCwuLj4w8fPsw7fCBnaEXjnFFRUWE2mwMDA4OCggIDAzMyMk6ePJmRkdHR0aFhxSaEAX1+bMie4K2b96Q83p9Rmbp0TUwd3R125vmtiKg2tp+L2Rl0tMRMCCFDdzPCt0VdfhRNrM3Jm5bOWb0r7Vhq8FrXTzwDD6dlpERvcl0TU/tYfgHbcnNzaaONjY3dvn379u3bMzMzCSHr1q1raGgIDg4OCgrasWPHsWPHMjMzMzIy2PAB6rJUZERt3eTtH+C/KWDfyZutj73YcXWD165LrSZCCDFXhW3Yc7q6rSknzDPwND2DNXj3sIdvatujNxhvHt78yRfe0amZyYHLZyzeGHv4+JHk3a6LA67fM0lmq1AAACAASURBVKu3TCDQ29ubkZFx6tSpEydO7Nq1KygoaOfOnQMDA01NTcgZmtAyZwQFBc2dO9fd3f2NN9744x//+MYbb6xZs2bt2rVr165ds2bNCnicp6fno351a9vJ4MDz1fqz+zbtPFzI5gxDTvC8DakP+iJ6rvkvWn+2qj5p17r95+oIIYQMlWaEbAg42sp9p7PeSwtwXb7vKiHk3rWwZct23e0nhBRum7skk/liVlNTs3jxYq3XwXjk6+tLG62Li8trr732+uuvv/feeytWrPjwww9dXV2nT5/+xz/+8fXXX3dzc/Pz81u7dq2Xl9fKlSu1rvVTZMmSJffu3SOEEDJwOXrTivVR14tLiu/kJ8cdPn+rhWvhQ2XHVniHlnQPEUKIpe6g79oDl+quH9rgGX2Nhva+8lTvJUElj845mm6nbljoHdNoJqT7rOdn7sfrCCEtB5bOj7jaxxUyGo3Y3CrjjiOenp704EI/gPPnz9+6desTHbRgTLTMGTt27Lh+/bper587d+78+fPnzp17+fLl4uLioqKitrY2s9lsNptNJlMv9Pb29vb29XE7L3PNmfD9F/SEDGSHbNqdWsIOUGu7EDRvfcqD7qCea/6L1p2pqEsM9GNzxvptaUzOaD6y1W/viQorIY03koM3JzcRQsw3dsxbfLz20WRHRka0XgHjSF9fn/mh0tJS2mh37dr12WefzZkzJzg4uLe319vbu6ampqKiYs6cObR537hxg5bs7Oyk7zUajVovylOBGfhiGXnw50jREf9Ne7IMDz88Q6VHV3jvLe6iOaP+oK9fbF5tfvw6j6h8WqSv/Ij3kt3MScrBm8k7NwZlGggx91wOct95c4AQ0hi34suwvEc5w2q1ar30Twuj0Ug/VgaDoaioqLi4+Nq1a/PmzZs/f/4XX3xRW1tbUlKC/gxNaHzepKSkhH0mKCho3bp1Xl5eCQkJ9CItd+7c0ap649ZwyzmvZRviMs+eO5e+23Pp6i2Rhc3M724qUpZ6JT/o3e26tHZZWOVgW3Z0cFhWFSGEEPPdjIhtEZcedYFYm49sXbv3RLmVkMaCw0E0ZwwV7JjnnsHkDOA5e/bs+fPnz549u3XrVtpoeYONeOMzCCFbt26lV5BLSUmh15Srrq5Wt9ZPt+GequLyxh7aI2GtOBkaHH3GwA24MFxa5x1e1GMmhJDh6vD1wVlV9xrOh/uGXBoihBAyWJrs6ZPCjGwavJkc+CBndF/a7R5Ic8bBFfPCL/URUF15eXl2dnZ2dnZSUpKXl9f69et37NjBFqiurkbO0MT4GgfKyc/PDw8Pj4iIiI6ODgkJCQ8PxwW4OObWuyfT4qKjY2JiQtcume+6evOZCuZnlgN3drmuTijvJ4RUpwa4bjs5YB0qy4jw2nro/jAh1uoYX899OY+6i5EzpKuoqNi7d29YWFhERERkZGRMTExUVJS9i9mL/K71/PnzERER9OJydIKHDh1SsuJACCHEdD/V33P36QpCCCG9pyN3hx2/M8S9amlN8vUMOFNNCOm8mbjaN+xOh6m36tTaFQH57YSQ/pzA1R7xJcw4UOSMceHgwYNhYWEhISFRUVERERERERF5eXk2S2IcqFbGac7g9Pf3nz9/Pjc39/z5835+fr6+vh4eHhhJ91B/9t6Ngal3LISMdDWeTI252WIhZLixKP3r5Us9PJYv37D/Wk0PIcTc23w8bLP3V195+iz3P3CljR3QYdUnb/EJPl5mJaTheuKujUmNhJCh6wFfuKaP5fJUk1BsbKyHh8fq1avDw8PPnz+fk5Mj5bqEUq6f0dHRQSd4+vRpLy8vX19fLy+vrq4umSoOfINtBQe+Xu/t4bHGe0PQoRx9zxCxmK8dDTpZNkAI6W68uttzuZfHqhU+m9KuNJuthAz3Xs8I812+3MNr6Zqdx+q72FOUg4VJO9btyjAQYu7OC3TdUThACGk4sPSL/XnIGcpqa2vz9PT09fX19fU9e/YsPUA4vKoNcoZWxnvOYOn1+qampsbGRn9//0WLFs2bNy8lJaWzs7Ozs5MZu/BUsRh7e3oHhqyEWEeGujvbBx6Oc+9r0zc2Nt3vffRtzWrqvadvbGq+18+/BMDIQE933+AwIWRkaKC3Z2CEEGId6u3oHHwqL0zU2dnZ1dVlMBhWrFjh7u4+f/78vLy8xsbGxsbG3tFcO2u01wNtesjPz8/NzW3evHlZWVm0eeN6dDIa7GzTNzY26u/1GOlIDWt/573uB38TU9e9psbGFkPvoyuZWIc6Wpsam/Sd/KvOWIcGent6jRZCrBZTb2fvkJUQMtLf1dGHa+HJqr+/n34Q0tPT582b5+rqumHDBu7zIn06yBlamUg5g2OxWEZGRkZGRs6cObN48eLly5dv3ry5sLDw1q1bt27dkr2eMOndv3+/sLDw5s2bWVlZ9LpwHh4eRqORNrOxTXPM9zfhmndKSsqSJUuWLl0aGBhIm7cS9zcGGJ+Kiopu3bpVWFi4bdu2ZcuWubu7Z2Rk0I/G2K5oh5yhlQmZM4S6u7u3bdsWGBi4c+fOw4cPp6SkJCYmtre3yzJxmKyys7OTk5MTExMjIyP9/f0DAgJSUlLkmriM92ttbm729/ffuXPnrl27UlJSjhw5kpSUpMS97AG01dXVlZiYmJKSkpycHBgYGBgYuG3bNrn25MgZWpkkOYOVmZmZlpaWnJy8b9++LVu2bN68+dSpU7LPBSao4eFheqlZf3//w4cPp6amJicnNzTIfw1HGXMG69ixY0ePHk1JSdm7d6+/v//mzZsvXbok+1wA1HTu3LnNmzf7+/uHhIQkJyenpaUpcSVo5AytTMKcwdHr9UVFRUVFRUePHnVzc1uxYgW+Aj7Njh075urq6uPjU1xcXFxcfPv2bUVnp1DO4NTW1t6+fbuoqCghIWHBggVtbW2O3wMwnphMplWrVrm5uSUnJ9N9tRKJn4OcoZXJnDM4Foulu7u7p6fH3k8Q4WlgNBq7u7tHNZbzSSidMzjDw8Pd3d24BxtMOFartaenp7u7e8yjoEYFOUMrT0XOAFCfajkDAKRAztAKcgaAIpAzAMYV5AytIGcAKAI5A2BcQc7QCnIGgCKQMwDGFeQMrSBnACgCOQNgXEHO0ApyBoAikDMAxhXkDK0gZwAoAjkDYFxBztAKcgaAIpAzAMYV5AytIGcAKAI5A2BcQc7QCnIGgCKQMwDGFeQMrWiZMzZt2oTbuMNktWbNGkVv1gAAo1JRUeHn56d1LZ5GWuaMqqqqnp4eDSsAoJyysrLBwUGtawEAD/T391dUVGhdi6eRljkDAAAAJjfkDAAAAFAKcgYAAAAoBTkDAAAAlIKcAQAAAEpBzgAAAAClIGcAAACAUpAzAABgouroGIyMLNC6FiAGOQMAACaqvr6hrVtz//zn/Zcv4/K745SGOcN66NCSisoc7SoAoBSr1RIVNbul5a7WFQF4Kty50/7llxnXr98TKVNff/2bb+ZbrVbVagWUDDmjuas5ryIvr+qxR2FDIe+ZvKq863XXr9ZezavKy6/KS01dM2eOztX1W8V3T+fXXr1ed11Y3uZECuoLrtRcqajKq8IDj/H6OHBg7mef6ZYt+67mNcEDj3H1qKm5pNfnyzvN6upL9fVXyspyX3/9q+LiCzbLlJdfcHf/x88+0yUkuA8Odokc0SoqKu7cuXNXGdXV1aWlpSIFSkpK7t+//+TH5XFFhpxxsuTkrL2zZoU/enxx4AvdfN3fwv7GPjk7avazXs/+ZtNvZoXPmh8+a9NGp88/133xuW5vxIcvb3v5B2t+wBaeFT7r89jPdfN0vCc/jf70f6/63y9tfSkkfFZE+KxwPPAYlw8fn5988YXuyy91mtcEDzzG1WP79r9+8MG/KTHl+PjZf/6zU0jIBzZf3b//gy++0H3+uc7L61/1erH7hIeEhPj7+29Txt/+9revv/5apMDGjRtzciZbN78i502i8qL2nN/De7Kqreqr5K/0XXr6b1tbtZ/fL5MPLzcTsuLwiuv113nlg88HR+ZF8p681XhrzZE1Hf0dSlQbQC6NjbdWr372xAnchBrgMbW1pjffTFRiyjEx5Zs3848jrKNHvf38ftXaWqrE3CXy8vLScO5akT9n7Di9Y9upbbwnK+9XukS41Bvq2Sc7O+pNQ4Mz939Q1FjEK7/++HphUrnRcGNOzJyW7hbZ6wwgu3v3yrWuAsC4U1bW9vbbMbJPNizs+rp1Z4eHLSJlWlruhoXNlH3W0qWmpr777rsbN27UsA6akDNnmEfMUXlRGzI2jFhG2Of1nfp3Q97tGuCfEusy9vzn/vcr71eyT5qGTbuydwVmB1rJY6N1Ku9Vvr///R4j7iMPADBRKZEzDh68uXr1KbN5RLxYfX1BaOgMeWc9Knv27Hn99ddnz56tYR00IWfOKGste2PnG8Lnf7HuF539nbwnGzoaPov57Lb+Nu/5S9WX3gt9TziRn/j8xDxilqmmAACgAdlzxjff3FqxIlNKSc1zxt69e1999dWPP/5YwzpoQs6c4Z3mHXsllvdk6s3UVSmrBoYG2Cdbu1vnH5x/ufqycCJfpXyVeJ1/9i4+P977qPewZVjG2gIAgMrkzRlWK/H3lzpqUtucUVlZGRcXN2fOnH379l28eFGramhCtpyxLHHZoWuHeE+m3Uxbfnh5n6mPfbLf1P9R5EdXa64KJ7Lg4IL0onTekweuHPBM9URnBgDARKfQ+AwptM0ZycnJmZmZmzZtqqysXLNmjVbV0IQ8OWN1yuqkgiTek5erLy+IWyAcUfHevvfKbQ2RW5SwKLOE3/11suTk8sPLed0hAAAwET21OePYsWPp6enr168vLi729fXVqhqakCdnmIZNwidHLCM2z3QYzUbpExm2DPNGlQIAwAT1dOYMo9GYlJSUk5Ozdu3aioqKgICAjo6n6OoMuL8JAACoRMOc0dBwLTz8PzSZdVFRUUBAACFk1apVRqPxypUroaGhmtREE8gZAIoIC7ve2zsksfD27XnSp5yf35STUyu9/M6dlySWNJlG9u7Nlz7l48fLSkvbpJeXvpjNzb1xcfzL6oiIiSk0GKSeXTWZhqUv5q1bLVlZVdJrsnv3ZYtF6h009PqehAT+b+7sycqqunVrFFcPGlWjunmz5cwZqYsZH1/U3NwrsbDFYg0KusL96zBnZGVVFhW1Spz43r35Q0NSO7xrampXrtwgsbC8iouLt2/fTghZtWrV4OBgXl5eeHi4JjXRBHIGgMysVmtERME//IPnq69GSCk/b16aTrd69epTUu7wVFnZ/qMfbfnBDzbdvn3PYXGr1bp27VmdbvVHHx2WUpPp02O+9S2PoKDLDmtitZKcnNopU9ZNnbr9/v0+8cK0JnPnpup0q9esOeWw8MCA2clpz7e/7ZuaekdCTazx8UX/+I/e06aFSjnkWK3Wt9+O+da3PIKDrzgs3NjY/eyz277//Q35+U1S1vbWrbl/93dr3nsvXsqm7O8f+uUvg7/9bd+0NMf328vPb/r+9zc8++y2xsZuh4WtVqu7e4ZOt3rJkgwpNamv73r22W3f//7G69f1Dgunpt759rd9nZz2DAw4HptvtVpnzIj7L/9lzbZtubQmIjnDaiX5+Y3f+96GH/94W1OT48UMCrr8rW95vvBC8NKlGQ4LDw2NTJsW9t3vbkpIuK3+rdRKSkq4/gzkDAB4Ivn5jU5OAaGh+X/+84GjR0tnzUrs7By0V3hw0Ozqmp6aevell/alp5c5OfknJtr9dtvePvD665GzZh0KCMhdv/7s558feeml/ffv99srf/RoqZOTf0pKycsvh6Wnl335ZVp/v93+le5u40cfHU5PL3vzzajo6BtOTlsvXLDbZdLU1PPcc8FffXVyyZLjERHX33wz5r334u0tpsViDQ3Nd3LampVV+dJL++Pjb3l6ZolcUqm9vX/mzIRDh25/8snhzZtznJx2lpXZ7TIpKmp1ctoeGHhp5sz4o0fvOjkFu7kdt7eYJtOwj88ZJ6cdp05VvvVWdFDQZfGoUVvb6eKSFBx8Zc2aU66u6c8/H3Lvnt1ElZVV6eTkn5BQ9Npr4adPVzk5bd+8OcfeYvb2mj7//MhvfxualFQ8e3ayj8+ZI0fuiNTk6tXGRYuOeXicCg6+8pe/HPzTn2JFOm9iYm44OflnZla8+OK+zMwKJyf/2NhCe4UNhoHp02PffTcuKOiKp2fWwoXH8vMbRWqSknLHxyf7k08OHz5c/Nvfhs6dm9rba2NcHSHEbB7ZtOmCk9P206erXn89Ii6uyMnJ/+zZ6oaGbps54969vt/8JmTx4vTVq0/u2XPFxSWpro5/1SVWUNCV4OArb74ZnZlZ/s//vMHXN9tksn3hg/7+IVfXdCenPWlpd2fOTNi5M8/Jacft21K7TJ5cb2+vt7f34OAgIWTVqlXd3d1mszkmJiY3N1e1OmgLOQNANqdPV336aTL9e/r0mLq6zqKi1s8/P6LX27iObVtb/6pVp2iw+NWvHlxlf82arOjoG8LCd+7c/+ijpOrqDkLInj1Xt2zJIYQ0N/d++GFiWVm7sHxcXNHy5Sfo388/H2K1kvT0sqVLM3p6bBwV6uo6588/evlyQ3v7ANcHM3duWmamjd+FXbvWNHNmQl/fECFk2bITKSklhJCCAv0XXxwR9qWbTMOBgZc2b75ACBketvzqV3sJIaGh+evXn7N5cqGk5N5HHx1uauq+erXRxSWJEGK1WmfNSrR58LtwoZaWIYTMmBFHzykcO1a6bNkJ4cGvs3PQx+dMTEwhIaSpqfu11yIIIX5+2SEhtk+gXLvWNHPmoZERS2zsTW/vM4QQg2Hwgw8OlZTYuPN4SsqdRYse/CD/d7/b19ExSAgJCbm6YcM54VfnpqZuV9d0epLi4sW6jz9OJoTQuGmzJufP13788WFCiLf3GZoY7ty5P3t2cn09/wrLw8OWkJB8P79s+q+T04NG5eubvW+fjcUsK2ubPTvl7t02Qkh09A1f32xCyEcfJeXl1QsLE0KSk0tcXdPZMqdPV7q5pQsjZm+vacOGc6Gh+YQQg2HgxRf30+fd3Y9v2pTj7BzLK3/jRvMHHxyi683L6/Q339waGbHMnJlg8zyR2Tyyd2/+2rVnCSGvvhpBP1zR0Td8fM4Ig11ra++yZSfS08sIIYWFze+9F0efd3FJuny5weZiyq6np2fFihX071WrVnV1dRFCYmJisrOz1amA5pAzAGSzdeujLyhvvx1TXt5OCMnNrVuw4FhtLf/LWXl5e1zcLUKI2WzhcgYhxNc3e88e/tVl0tLucvvc4OAr9MhNCCkra5s7N+3GjWa2sNVq3bTpAvfv88+H0JEiycklS5ee6Ori/+Dr4sX606erCCGNjd1/+MOjcz3u7sdpDVkREQUtLQ/yxNKlGYcPP7j1ZU5O7YIFx+rqHjv49faadu58MEpgaGiE5gxCyL59+T4+Z0ZG+HejSE29Q8/N5+bWffjhgwzR3z80b15aRgY/9GzffpE7rvz1r3GFhQ9WwuHDxUuXnujufmwx6+o6o6IeBLiGhi4uTn399Xmb41fCw6+3tvYRQqKjb3h5neYmMndu6pUr/OMTu7Z/97t97e0POhtCQ/N9ffmLef26nh72CCE5ObXcKa3lyzNpDLK1mBZCiJfXaS6D5uc3zp9/tKLisYhpNA5v3froAlBcziCEbNx4PjCQv5gnTpTn5zfRvyMjC3x8zhBCzOaR+fOP2jyVw7U6F5ek3Nw6+nd6eunixcfb2h7rV2tp6eWSTVtbP5czCCGzZyf/+c/f8Kaclna3s/PB9lq37mxSUjEhZGDAvGJFps2osX//NfrH669Hce05Oblk82b+Nbtu325NTi6hfxcU6GfMeJAzhobsLqbshoaG3Nzc6N9czggLC5t892W1BzkDQBFcziCEXLpULzJujpczCCHiuz82ZxBCiovvcTOy6fnnQ2j3AyHk5MlK7m8hXs4wmYazsirtFSaP5wxCSF5ePRdBhNicQQhJS7srMl6SzRmEkHv3+i5dEvv2yeYMQsjJkxUii8nmDEKIvY4Eis0ZhJDy8nabXRocNmcQR4vJ5oyREeuJE2L33mNzBiEkP7+poYHfpcFicwZxtJhcziCEdHYOig80ZnMGIeTMmSpheOXwckZb28D3v795xow49vHRR0kzZx6if//0p7v+7d9CZsyImzkzwclpzzPPbOcVfu+9+E8+SaZ//9M/bZk+Pfbhk4f/63/14zqWhNicQQjp6BjIyamzV1hG4eHhN2482HBczqitrQ0JCWlrG8Uw6okLOQNAEWzOECfMGeJ4OcMhNmeI4+UMh3g5QxwvZ4jj5QyHeDlDHC9niOPlDId4OUMcmzMc4uUMh3g5QxybMxzi5QxxvJxRUdH+4ov7Cgr09h6ff35k/fqz9O+iotbbt1tFCv/mNyEnTpQXFjbn5zedO1f93HNBIkNZeTlDNQsXLuT+5nIGIcTPz6+2dhQ/HJu4kDMAFIGcwYOcIfQU5oyysrbp02NFyvv4nD54kH+2zp5XX41sa+u3WKz+/jkvvbSrstIgUlirnLFo0aLh4QdjVNmc4e3trdc7/oHPJICcAaAI5Awe5AyhpzNniF8/w9MzS+QHMjyvvhrR2trn55cdGVngsLAmOaO4uDg0NHRk5MFAIjZnHDly5NSpUxYLf5TS5IOcAaAI5Awe5Awh5Ayh0eaM999PiI+XdEk3TXKGh4fHvXuPBvSwOYMQsmDBgqEhqVfzm7iQMwAUgZzBg5whhJwhNKqc8Yc/REi/bqwmOWPt2rUNDY+GMPNyhru7O3dKZRJDzgBQBHIGD3KGEHKG0Ghzhsil6njUzxmDg4ObN29mB2HwcoaXl9fTcEM15AwARSBn8CBnCCFnCI02Z0i5EDulfs6IjIy8cOEC+wwvZ/T19S1btkzNKmkCOQNAEcgZPMgZQsgZQpMpZ0RFRZ0/f559hpczent7uUuFTmLIGQCKQM7gQc4QQs4QmmQ54+zZs+wzwpyxdOlSNaukCeQMAEUgZ/AgZwghZwiNNmdIubMrpXLOKCgoiIyM7O9/bPgIL2dYLJa8vLyoqCjVaqUJ5AwARSBn8CBnCCFnCI32d61VVYaqKklDKVXOGRcuXIiMjOQ9ycsZhJDS0tItW7aoVitNIGcAKAI5gwc5Qwg5Q2hUOeO11yJv3Wr58su08PDLra12761DqZwzLl26FBoayntSmDNu377t7++vWq00gZwBoAjkDB7kDCHkDKEx/K61ra3fz++Em9vx9nax37iqmTO6urqioqJu377Ne16YM9rb22NiYoQlJxPkDABFvPlmtMScMTxs/eUvg6VPOSjoCnsjcod+/eu9/f2SckZTU/fLL4dLn/KSJcel5wyzeeSXv5R65MvNrZs1K1F6Td5996D0nNHY2PXKK1IXMzr6hqfnKHLGCy+EGgyjyBkuLlLjlKfn6HLGc8+NolFFRhZ4e0vNGR9+mCg9Z7S390+bto/7t7zcQc7w8BhFznj55XBuHGhhYfOHHyYajXYve3XjRvNf/xovccpPqL6+3tvbW/i8MGcQQjIyMhISElSplzaQMwAU4eKS9Itf7HRy2iPl8S//sk1iSSenPf/3/wb+5CdSp0wn/stfBksp+dxzwT/84Shq8uyzO376012jqonEkv/6r7t/9KPt0qf8ox8F/L//FySx8HPPBUlfzKlTA3/84x1KrG0npz0///nuZ56Rupg//vGOqVMDpdfkBz8YxaYc1WI+88z2f/3X3ZLXdjC73X/2s13f+c5GuRbzhz/c9txzD9b2yy+H6XQ+v/iF3ZX/s5/5f/LJAXU+/i0tLdJzRlpaWkpKiir10gZyBoBSrFZilYYQqSVp4dGWl1yTUU959DVRasqjKT+Kwkqu7dFNXLm1rXBNHitcWtr29tsxMtaErm1CyK1brTNnHhoYMNsrXFd3fd++v8r6EbfNarVeuXLF5q9IbOaMS5cuxcfH9/X1qVA3TSBnAACAShyOzxibq1cbv/giVfwa5PX1BaGhM2SftdDw8PDChQttvmQzZxBCdu3aVVDg+JazExRyBgAAqESJnFFU1DJ3bmpdXad4MTVzxpIlS2y+ZC9n7N69u7BQ6qiUCQc5AwAAVCJ7zqiu7pg5M6GpqcdhSdVyhslkWr58uc2X7OWM4OBg9GcAAAA8KXlzhtVK3n8/YWDALKWwajnD09Ozvd32b83s5Yzh4WFPT8/OTgddMhMUcgYAAKhEofEZUqiWM9zc3Lq7bV8N3V7OIIS4u7sbDAYl66UZ5AwAAFDJ05Azzp07ZzKZbL4kkjPOnz9vNBqVrJdmkDMAAEAlT0POECGSMyYx5AwAmDQsXa09en1Pc6vRyj1nMt1r7mm+N2DzC+ZI30CzvqfVYBp59Jy1p61Hr+/tNFn5hc3mvp6h4UdPW4cGTL2DFm7ug71DxgcvW00DZuOQhcDjkDOQMwAAJijj9cRTf/p5yMsv7//tT6K3Zd8bIGSowxCy/Js//G7P717Zt2xvfcfjl1/v0zf4ztr/+5f3/NsfD+xMax+0EGI130y/8NffBb38ctBrn18svf/YRayrz56e9Ye0K48OE6bja2Kee+3E3W4rIYRYWjc4p4TkdhBCiPFe4Lqs+EsO7uz1FELOQM4AAJiQBu/k/uq/h8U3EEKIuSzv9R/GXxw0X9qa+LtPLtwjhLSXL3gzxv8Ce+DvOzBn/8vedwkhhiuX3pl+JL3GbNaX/KdTSGDRMCGmjAURv/euYJNJ9dnTH76adqWbEIshPuhK2t22036HX/0/Ae/F3yeEEEvrxnce5Iyhsrvrtpy6VN19PuHulZySzVvOB6Y09jfU7952YVtIUUGL3XtwTHrIGcgZAAATkrm+ITmj5cEdzIyVX/4s9kS1YfeSRK+ElhFCCBk8uvnY4oCqR2dPuqrn/GdSTGGfVDL/9QAAIABJREFUlRBiads0JzXwdPu981m/n5l3jxYou/zGH85UMbOoPnv6w9fSbxq6Yt3D/2N+/smKthNr0r7eeO6zz09c7yaEPMoZFcevfu11vbWj/D/+l/9rKy8GBxz79b8Fvb0wa19I7uL3I2f73elQZZ2MQ7LnjPv3+zduPC+lJHKGVpAzAGCSGcrwiX7uy+u9LU1LPvtmUxY9phtPbTz86ZIb9x8WstwtfPu95LSqQUIIIR3BLgdWRTRe2h///OIiOujfXHnt3Z/Fn2YOCtVnz376p7g1XyROn53bYCKEGFOXJ/vsqSnPubhsv56Q+xvfSQnJ6yRk8HBIhkdCh3WgdMazW1eeshAyGPVx8NurqwghFSnHP3gnq1jqLV0nG9lzhtE4HB1944UXtp84US5eEjlDK8gZADB5jHR3HdmQ9OKXOfUDVtLWsHh27Nen6DUJjKc2Js12f5QzRu4Uvj0jKbXyUc74KrzhYmjc82636FPmymvv/iwui7lyUkPehT/89w3P/kvgwrhWQgghg2krkn121wyYjbG+3xy+cW/7eymhl7qMnfeClsUfbybEUPK3n0bE1xJC+uI+S9h4oJUQUpJyfJbzqaJJe88sB8rK2pyd5b9p6tDQ8KpVp8481v3Eh5yhFeQMAJgkjA3V67+M/dDrRhNNCsa2rYuPbE5vo/8c23xs8dbKRxco6Kj69D+PHqE5w9q+5bMjO0+1tZ7N+sPHBQ9uxlVx5d9/f7qCmX712dMu/55RUtXw4ftJR6qHac7w3lUzREjVuWsbfI8tefd45NWOlrLC5e9daSWE3C/5208j42oJIb3ffJqw4UALIaQk+fisd57enFFVZXjuuaDY2EJ5HwcO3IyPL/qXf9mamFhsb9bIGVpBzgCAyWDE0Lht1jerEpuZ50zZG1OmL77SRQjpqlr8p5ivs9m7YPRGfRw7Y1clIaSn4OqfnVPSKoeG6os/eD42tspCiDl7adS0NWXshZPoONB8I6kOjvnFzDw9MR9fmewdWD1AyEhPV+qWyJ/9rwNh1ztvpx9ftKdphCBn2FBd3fHjH2/38MiS/bFhw7nvfnejv3+uvVkjZ2gFOQMAJoP6xMRv/92m379zcPpb0W+9FfWnvx46UkEG77dud43999f2v/bH/a7bq+4bCSEkN+zI7pw+Qkh3bfXK/9z/72/t//2bsVsSWvtGCLGariSd+fPvQ956a+9rH50v1D9244yq7KwPfn/kchchfe3L3t4+N648xSPFa0cV7f/oyb/64veD/PPqI10PxlZbCCHkfvH7Pw7/poYQ0hv7cdy6mBZCSHHSsZlvn7z1tOaM0tK2d96R/7wJIWTnzkvffHNLpAByhlaQMwBgMjD39jU0dFZXtldUtFdUtFdWdXQaCSHE0tdfU9lWWdPd9/CiWb1tnfd6H/xj7uiuqGirbupnAsVIW317RYWhpY9/la1hk9Fwf5BefMvU1dPSYRroGezufXjhLstwx/3+HpO5p33gwa9hLWZDa//AMCHEOtAx0NM/QggxDw4a2o1m/jXAnhZK/K7VYrFu3nwhOPiKeDHkDK0gZwAAgEqUyBk7d+Zt3ZrjsBhyhlaQMwAAQCWy54ytW3O3bbsopSRyhlaQMwAAQCWy54y4uCKJJZEztIKcAQAAKsF1x5EzAAAAlIKcgZwBAACgFOQM5AwAAAClIGcgZwAAACgFOQM5AwAAQCmy5wy9vufjjw8PDpodlkTO0ApyBgAAqET2nGG1krNnqxcsONrRMSheEjlDK8gZAACgEoXOm6Snly1ZktHfPyRSBjlDK8gZAACgkrKyNmdnRe6jduFC7ZIlGSIFkDO0gpwBAAAqqavr+u53N7z44n55H7//fdhbb8XodF5/+1uivVkjZ2gFOQMAAFRSXt7++uuRbW39Mj46OgZrajpycqrfeCNSr++xN2vkDK0gZwAAgEqUGJ/R3W308Mhydt7f0tIrUgw5QyvIGQAAoBLZc4bJNOLqeiw9vdRhSeQMrSBnAACASuTNGVYrmT07+fz5GimFkTO0gpwBAAAqkb0/o6amQ2JJ5AytIGcAAIBKcN1x5AwAAAClIGcgZwAAACgFOQM5AwAAQCnIGcgZAAAASkHOQM4AAABQiuw5o79/KDe3TkpJ5AytIGcAAIBKZM8ZBsPAsmUn1qw5VllpEC+JnKEV5AwAAFCJEudN+vqGDh68/uWXafX1Yodw5AytIGcAAIBKysvb3ngjsqNjUMZHd7fRZBq5fbv1jTeiRG5xgpyhFeQMAABQCb0v/LRp+2R//PGPUTqd18yZh+zNGjlDK8gZAACgkrKyNmfnWCWmnJtb5+Z2XKQAcoZWkDMAAEAlCv2u9cSJcnf34319QyJlkDO0gpwBAAAqUSJnXLhQM3/+UYNhQLwYcoZWkDMAAEAlsueMy5cbPvooqb9frCeDQs7QCnIGAACoRN6cYbWSefPSJBZGztAKcgYAAKgE1x1HzgAAAFAKcgZyBgAAgFKQM5AzAAAAlIKcgZwBAACgFOQM5AwAAAClIGcgZwAAAChF9pzR0tK7ePFxi8XqsCRyhlaQMwAAQCWy54zhYcuJE+VOTv6xsTfFSyJnaAU5AwAAVFJa2vbOOweUmHJAwMX4+CKRAsgZWkHOAAAAlVRXd/zkJ9t9fM7I/ti06cL/+B8bt2/Pszdr5AytIGcAAIBKqqoMv/jF7sjIAtkfBw7c/MEP/EW6NJAztIKcAQAAKikra3N2VuS8yZo1WadOVYoUQM7QCnIGAACoRInftRqNw6tXn0pIEBucQZAztIOcAQAAKpE9Z1itVi+v01FRNxyWRM7QCnIGAACoRPb7wi9bdiIuzkFPBoWcoRXkDAAAUIns/RkXL9ZJLImcoRXkDAAAUAmuO46cAQAAoBTkDOQMAAAApSBnIGcAAAAoBTkDOQMAAEApsucMi8VqNA5LKYmcoRXkDAAAUInsOUOv75k5M6G5uddhSeQMrSBnAACASpQ4b3LzZvPcuan19Q6O38gZWkHOAAAAlSg0PuPy5Ya5c1Pb2vpFyiBnaAU5AwAAVKLcONCbN1tmzUocHLQ7VgM5QyvIGQAAoJK6uq7vfGe9k9MeeR/PPx/yhz9E6HSe774bZ2/WyBlaQc4AAACV0P4Mq5XI+CCE6PU9x4/f+fDDpMFBs71ZI2doBTkDAABUosR5k6am7qVLM+bPT+zuNooUQ87QCnIGAACoRPac0d1tnD07+erVRoclkTO0gpwBAAAqkf2+8DNmxJWXt0spjJyhFeQMAABQiez9Gf39QxJLImdoBTkDAABUgvubIGcAAAAoBTkDOQMAAEApyBnIGQAAAEpBzkDOAAAAUApyBnIGAACAUmTPGV1dxoSEIiklkTO0gpwBAAAqkT1n9PSYNmw4/7e/RRcU6MVLImdoBTkDAABUUlbWNn16rLzTtFrJtWv1X36ZVlJyT6QYcoZWkDMAAEAlFRXtL720/9atFhkft2+33r3bduVKg5NT8M2bLfZmjZyhFeQMAABQSW1t5/e+t+kvfzko++PDD5P+/u99588/am/WyBlaQc4AAACVlJa2vfPOASWmnJp69+uvz4sUQM7QCnIGAACoRKHftcbGFnp5nTabR0TKIGdoBTkDAABUokTOSE4uXr78hNE4LF4MOUMryBkAAKAS2XNGSkqJq2u6lJLIGVpBzgAAAJXImzOsVuLnly2xMHKGVpAzAABAJbjuOHIGAACAUpAzkDMAAACUgpyBnAEAAKAU5AzkDAAAAKUgZyBnAAAAKEX2nNHa2vfVVyellETO0ApyBgAAqET2nGE2j8TGFnp4ZA0PW8RLImdoBTkDAABUotB5k3378jdsODcyIhY1kDO0gpwBAAAqUe4+agcP3goMvCRSADlDK8gZAACgktrazh/8YMvHHx+W/TFvXtp/+29rly/PtDdr5AytIGcAAIBKKisNL7wQcuFCrbyP3Ny6s2drfvrTwNzcOnuzRs7QCnIGAACopKys7U9/ipV9soOD5vnzjxYU6EXKIGdoBTkDAABUosQ40I6OwcWL00+frhQvhpyhFeQMAABQiew5w2QaWbTo2PHjZQ5LImdoBTkDAABUIvt94T/5JPnChVophZEztIKcAQAAKpG9P6O2tlNiSeQMrSBnAACASnB/E+QMAAAApSBnIGcAAAAoBTkDOQMAAEApyBnIGQAAAEpR4n6ten2PlJLIGVpBzgAAAJXInjNaW/s+/DCxuLjVYUnkDK0gZwAAgEqUOG9SXd3x5Zept287iBrIGVpBzgAAAJUoND6josLw6acpdXVih3DkDK0gZwAAgErKy9veeCPSYBiQ99HTY7p9u/WNNyKbm3vtzRo5QyvIGQAAoJK6uq7vfnfDtGn75H288kr422/H6nReM2cesjdr5AytIGcAAIBKysranJ1jZZ9sXV1nWNil5cszRcogZ2gFOQMAAFSixPiMu3fvu7qmb92abTKNiBRDztAKcgYAAKhE9pzR2Nj9wQcJ1dUdDksiZ2gFOQMAAFQi+33hZ8yI7+oySimMnKEV5AwAAFAJrjuOnAEAAKAU5AzkDAAAAKUgZyBnAAAAKAU5AzkDAABAKcgZyBkAAABKQc5AzgAAAFCK7Dmjra1/+/aLUkoiZ2gFOQMAAFQie84YHDSHhua//PKuM2eqxEsiZ2gFOQMAAFSi0P1NOjsHli49kZtbJ1IGOUMryBkAAKCSykrDr3+958iRO/I+0tLupqXdfeaZgPT0MnuzRs7QCnIGAACopKam80c/2rZ48XHZH6tXn/r2t9evXXvW3qyRM7SCnAEAACopLW17550DSkw5NDQ/PLxApAByhlaQMwAAQCUK/a51x4687dsvWq1iZZAztIKcAQAAKlEiZ+zde3XDhnPiIYMgZ2gHOQMAAFQie84ICrqyfv05KSWRM7SCnAEAACqRPWeEh1+XWBI5QyvIGQAAoBJcdxw5AwAAQCnIGcgZAAAASkHOQM4AAABQCnIGcgYAAIBSkDOQMwAAAJQie87Q63vmzDliNo84LImcoRXkDAAAUInsOcNisWZmlru6pvf0mMRLImdoBTkDAABUotB5k+TkkpUrMwcHzSJlkDO0gpwBAAAqKStrc3ZW5D5qWVlVq1efEimAnKEV5AwAAFBJXV3X//yfG197LVL2x3/8xzd/93feH3982N6skTO0gpwBAAAqKS9vf/XV8Pr6Lnkfzc09N2+2vPji/urqDnuzRs7QCnIGAACopKysbfp0+cdnNDZ2f/ppSmWlQaQMcoZWkDMAAEAlSowDbWzsnjcv7fr1JvFiyBlaQc4AAACVyJ4zurqMn3xy+No1ByGDIGdoBzkDAABUIm/OsFrJjBlxFRVip0s4yBlaQc4AAACVyN6f0d8vds0MFnKGVpAzAABAJbi/CXIGAACAUpAzkDMAAACUgpyBnAEAAKAU5AzkDAAAAKXInjMGBswFBXopJZEztIKcAQAAKpE9Z7S3D8ydm3r2bLXDksgZWkHOAAAAlShx3uT+/b6FC4/l5NSKF0PO0ApyBgAAqKSsrG369FjZJ9vZOfj556nFxfdEyiBnaAU5AwAAVFJR0f7SS/tv3myW93H7duvlyw2//GVwYWGzvVkjZ2gFOQMAAFRSW9v5ve9tevfdg/I+Pvjg0Kefpvz93/suWHDM3qyRM7SCnAEAACopLW17550Dsk+2uPiet3dGQMBFkTLIGVpBzgAAAJUoMQ708uV6V9djR44UWSxWkWLIGVpBzgAAAJXInjNu3myZNSuxs3PQYUnkDK0gZwAAgEpkvy/87NnJVrFejEeQM7SCnAEAACrBdceRMwAAAJSCnIGcAQAAoBTkDOQMAAAApSBnIGcAAAAoBTkDOQMAAEApyBnIGQAAAEqRPWe0tvauXHlSSknkDK0gZwAAgEpkzxlm88iRI3d+9authw7dFi+JnKEV5AwAAFCJQvc3IYRs3Hg+JeWOSAHkDK0gZwAAgEqqqzt++tOdW7fmyv7YvfvyP/3TppCQfHuzRs7QCnIGAACopKqq4+c/D9y165Lcj8uhofnf+97m8PACe7NGztAKcgYAAKiktLTN2VmR8yZ+fmePHSsVKYCcoRXkDAAAUIkSv2sdGhrx9j4TE1MoXgw5QyvIGQAAoBIlcsb69WdFhmVwkDO0gpwBAAAqkf2+8B4eWRERdsdksJAztIKcAQAAKpG9P+PUqUqJJZEztIKcAQAAKsF1x5EzAAAAlIKcgZwBAACgFOQM5AwAAAClIGcgZwAAAChF9pxhtZKREYuUksgZWkHOAAAAlcieM/T6ng8+ONTePuCwJHKGVpAzAABAJUqcN8nPb/zyy9Tm5l7xYsgZWkHOAAAAlSg0PuP8+Zr58492dg6KlEHO0ApyBgAAqKSsrG369Fglpnz9uv6zz1LMZrtjNZAztIKcAQAAKqmr6/rOd9b/+td7ZX+88kq4Tuf117/G2Zs1coZWkDMAAEAlZWVtb74ZPTQ0Iu+DEHL79r2//OVgd7fJ3qyRM7SCnAEAACpRaHzGzZvNc+YcaWkRGwqKnKEV5AwAAFCJEjnjzp37c+emVlYaxIshZ2gFOQMAAFQie85obOyeOTOhpqbDYUnkDK0gZwAAgErkzRlWK5kxI7672yilMHKGVpAzAABAJbi/CXIGAACAUpAzkDMAAACUgpyBnAEAAKAU5AzkDAAAAKUgZyBnAAAAKEX2nNHTYzp6tFRKSeQMrSBnAACASmTPGV1dxpUrMxMSihyWRM7QCnIGAACoRInzJn19Q8uXn0hLuyteDDlDK8gZAACgkrKyNmfnWCWmvGTJiZycWpECyBlaQc4AAACVVFYafvWr4OTkEnkfKSl3UlPvPPNMwLFjdsdqIGdoBTkDAABUUlPT8cwz29zdM+R9fPXVSR+f7G9/e/26dWftzRo5QyvIGQAAoJLS0rZ33jkg+2Rzcmo/+eSbgwdviZRBztAKcgYAADwJ60CfqatrsKvL2NVl7Ooa7O4xj9gpqsQ40PT00qVLM27d0osXQ87QCnIGAACM2Uj7qTM///nu374Q8sILoS+8EPrCCyFvvZtTYae07DnjxInyuXNTR0YsDksiZ2gFOQMAAMbMsO2VvQsj70ksLft94VetOimxMHKGVpAzAABgzIy5G5JdwuollsZ1x5EzAAAARuPmhR9ODXz5lbBXXgl/5ZXwV14J+/MHeVV2yiJnIGcAAABI17XvL6GLQ5qam3qaHj5aWo1mO6WRM5AzAAAApOs7vuzImnhtxmeMynjIGe7u7p2dndrWQX3IGQAAMGbGwp2J//DPexd5n/HxefDYsqO01U7ppzxnnDhxYnBwUNs6qA85AwAAxmy4/Gx5yqGb0VEFkZEPHnGJ9R12Sj/lOePphJwBAABjYKk9k/unPx0/XWMcGbFKfI/sOUOv75kz50h3t9HqqArIGVpBzgAAgLGwDI8M1FW4uUT+9rd733k/++TVhqtXG6o7xA74sucMq9Wam1v3298G7Nlz1WIRmzVyhlaQMwAA4En1N5R7zoybOfPg8g250XE17XaKKXR/E0JIeHhBaGi+SAHkDK0gZwAAgGz+f3t3HlbVeSdw3Jk+sz5JO5OZTp92Ztp0Jk1nOvFp7BKbNKZNU4VJ45IYtVGTumDccN9wR1DAHZVEEBR3jIgIiCAuYERREFEELjuyw2W/XNbLvWf+IFqD3sMdcs77Rvh+nvMHHn73ntf84zf3nHtOa3p6QGButZ3fFhTU/+u/eru4hGu+zZ9/9u//fp2b23l7C5PYGQ2GuN27du3+gu+ObQHRSYUdUpYiA50BAOgD6/2rNye9/unrr+/r3oYNC/zNbwLffCt4wpQbhXZek5tb+/LLe6KiDNpuZ89mR0VlP//81piYXHvLldUZlta7fnNnbTyacPMLN5Kup+aWNth71Fz/Q2cAAPqis7WtorihuLixuLixtLy5NL/6s5X7v/3N1aO3ldj7n3WDwThiRLDmK+nqss2eHZmYWKwyI6szOkw3dszxumkWf+SvCzoDAPBV2Yxl2+cf/cXLQX7Xm1TG9Phea1NT+7x5UZGRBvUxaedNbJ03P3NfvPtM0heuX0tMySmp5/MMAAAcUn41cabz9mEzk9LsXf/5gOadYbFY582LOnnyXq+Tsjqjq6MkZofbMq89fl/Y7bsj8NwNrs8AAKB3DSHrI4Z+b5fbqbxaB6Y1fy78lClh587lODIsqzPamxK8pm64Y++JLwMAnQEA6AtrRcnqd73/5qWQk3E1TV3WVnO7ydRuMrU3my1WOy/R/POMjAx7X23pSVZn2LrqEvdv9Qq9bW59qK2jc+CcNqEzAAB9YS28nPj2j7f+z08/+eUrn/5siN+QB9uI93gu/J91tWcEzJ/78RzX+V9wnfWxW1B0epv4pUhCZwAA+sxSZ+p5F86a9Gp7zz4fgJ0BOgMA0GfVfjPDd0Q9eNZ5ZZHXsuOvvXDqpp1pOmMAojMAAH1mKUm+8cGQoB3XGgpjEkf/z/pfTv/83Oc1zXam6YwBiM4AAHwlbWX3pr3g892fHNh53qj+dU09vtdaU9PiyCSdIQudAQDoA1tzpTE+KisqKvtsdM7+jUf/41u73QKzo88azl+ssnevLs07o6LCNHbs8Zyc3m7cIa8z2qqyUm7euPlQ6t3KVvGrkInOAAD0ga0iLWOty6nux5jNmBk5b37UrBnhLi6nF65IK7HzGj3Om2RnG6dODTMYjOpjUjrDVJT0yfqFm3x9ux+htmvXrh07Nnr5n8msahe8EonoDACAIDpdn5GeXvXhh6GlpWq3PJfRGU0Xt6z0OXn3yzsbz+7asDMkje+1AgCgMYPB+OabQWZzh7ZbZ6c1Pb1qxIjg2lq75yRkdEbVqdXrj6f0uFFqZ/op/23+V+xdKtv/0BkAAEGKihqefXb9yy/7ab69/vq+QYPcRo8+au/QMjrDVhS3Z9k6v6TcvIey0mK9Fi8/GF8odiUy0RkAAEF0ei68oihJSSXTpp22WnveNOwhWdeB1qV+tnHDBg8PDw8Pjw0bNmzw2XkhbwBdnKHQGQCAPmsvzN/qFjZ7dsSDLXxLtNpXP3S6PiMuLm/mzDONjWrXPPC9VlnoDABAX7QVFS7847453klhYZkPttTlk4Mn7bV7UkCPzkhMvD99+umqql4ueJDVGdlRW1e6LV+5cuXKlSvd3FasWL8pKtMsfhkS0RkAgD7oSjt6fsYHV4q+vLcz45rTS2fT7bxG885ITS0fNy6koaH3b2/I6AxrXtS2Bav33i2vqHygJOeKj9vK4zeq7J7g6XfoDABAH1gzQy9OHhObYfnS3vqEuNf+O+qenddo2xk2mzJ5cqiDw1K+bxK6asPJtPov77RknAnaEXDFJHYpEtEZAIC+6Kys2L382EcLznl6Xvb0jPf0jPf0jJk68YTbvnx7JwYG2PNNTPE7VnocTrZ+aWdduI+bz6HkgXMtKJ0BAOir1vqoYzf27El6sF0Lu612ncQA6wylpfxO6B73NZu8vL29vb29vby8PDet27wvOqt84HycQWcAAEQZaJ2hKIpirjBkZWZ9ITMrJ7/e0vuL+hM6AwDQJ5bOW8fPvfXLLT/96Z4H247fL7qZVdtp7xUDsTMe01ZXVVFrtvY+2E/QGQCAPrBVfH5zzO+PhOU9+ih46xXvQ4PHJzXYeQ2dodhas2JOHD6fyfUZAACo6Lp54Nwil5Sej0mtuTv+R2eS7bxG886orW3x80tyZPLr0hkDD50BAOgDW1Vi8pi3DoZkPvross4L7sH//duLwp4LbzZ3eHrG79x5rddJOkMWOgMA0CddlrKExDFv+g4evGvw4N2DB+8ePHi704rUwtoOezeh0uO8icViXbv2YkCAvc9QviCnM6wdNTePus6dO3fOzKnTXD6eNWfpqsNZzS0D5+IMhc4AAHwVNqutq8v6YLOp3+YyK8vo7HxQj2V4eMSHhtq7PZiiyOmMzvtndy878Hmn1Wptyjmwyzcyo6ql9tqu5etjCnq/gWm/QWcAADRjLS78JCC3ys5v8/PrXnhhm5dXgubbjh2Jzz3nuWeP3Ws1ZHRG5Qm3DafvfHE/0KrL2zd/lthltdwJ37vlSHKH+kv7EToDAKAZa+n9A4cKel4c+kBeXt2LL27fufOatpuf342AgJR//ueNgYEp9hYmozPabgasXnm0e0mWlAM+O0/dtlhbI7cv3nL8tt3v/vY7dAYAQBCDwejkpP15k9DQe7/97Z7z5/NUZqRcn9FpqojyW7xggavr7IVbD16oaO5MOrR61c7wMtPA+TiDzgAA9FlnW1F2ZXr6n7fCui6VcT2uAw0MTFm1Kq6urkV9TNr3TSytJpPJZGpu77IpitLZZm7nfqAAAPTKajad2Xby97/79H//99CDbZ/z9LjITLuPONG8MwICklesiHVkku+1ykJnAAD6wFoUc3Ws86mE2i/tzQoOfXl4QoWd12j+XPgdO3q/c0Y3OkMWOgMA0AddycExC6Yl9/xqSWXaWIH3A3UcnSELnQEA6IuGtPQ/OgfujKusqmp+sNUGz933s/ev2vte6wDvDE9Pz6amJrlrEI/OAAD0UUf2vY/f2zt06N6hQ/2HDvUfOtRvkm9+m/17dQ3wzli0aFFDg71nzPVbdAYAQJAB3hlLliyhMwAAcFCXIeLGrIlHp2/OKriXvmjyiQ8+OD5pt9pNLOgMOgMAAIe05GRPHB/kGZwTsvbAf/zXjpGrbsXHFxzbGvrernx7L9G8M2w2xWJx6KlkdIYsdAYAoA+6Ug/Hzp5yvUpROu/Ev/79wxe675pRlPyH/4pMs/MazTujrKxp3LiQjIyK9t7ufkVnyEJnAAD6wJp9+vIHo6Lvmm3W5mL/eVfvtSmKotjuxr/2Wpy9DzT0OG9y716Vk9Mn7u6X29vVbkVKZ8hCZwAA+sJSY9yzKHiUR2pNa/cOW/4HfMYcAAAaeElEQVSFFNcFYZsv1th7iX7PhT9zJmvt2osqA3SGLHQGAKCvGmrjbpQ/eCiYrTqjMPxGncp4YWH9P/2Tx4gRwZpv77577BvfWDVlSpi9Q9MZstAZAABBcnJqXn3VPzOzWtstJ6fm5s3Sn/50z7179u4QRmdIQ2cAAAQxGIzDhwdr/rbV1eYPPzyVlWVUmaEzZKEzAACC6HEdaEWFacaM8MTE++pjdIYsdAYAQBDNO6O5ueOjj0KvXCnqdZLOkIXOAAAIovlz4ceMOXb3bqUjw3SGLHQGAEAQzT/PqK9vdXCSzpCFzgAACMLzTegMAAD0QmfQGQAA6IXOoDMAANALnUFnAACgF807o63NkpFR7cgknSELnQEAEETzzqiuNn/4YWivN+lS6Ax56AwAgCB6nDcpL29ycQm/fr1YfYzOkIXOAAAIotPzTSormz/8MNRg4PkmX0d0BgBAkOzsmtde88/JqdF2KyioS0kpGzLET+VRanSGLHQGAECQwsL6557zeOut/Zpvo0Yd+cu/XPXRR6fsHZrOkIXOAAAIkpVldHY+qMc7R0Vlr1oVpzJAZ8hCZwAABNHp/hnHjt1dujSmvd2iMkNnyEJnAAAE0aMzIiKy5s6NNJs71MfoDFnoDACAIJp3RlRU9rRpp7u6bL1O0hmy0BkAAEG07QybTVm6NMbBYTpDFjoDACAIzzehMwAA0AudQWcAAKAXOoPOAABAL3QGnQEAgF7oDDoDAAC9aN4ZVVXN6rcBfYjOkIXOAAAIonlndHR0+fvfXL36gtXayy006AxZ6AwAgCA6nTfx9b22aVOCemrQGbLQGQAAQfR7jtq+fSl+fjdUBugMWegMAIAgBQX13/ue97RppzXf5s2L+ru/W7dixXl7h6YzZKEzAACC5ObWvvzynrNnszXcoqNzoqNzoqKyn39+a2xsrr1D0xmy0BkAAEEMBuOIEcGav62f341f/nLb7dsVKjN0hix0BgBAED2uA/XySti+PbHXMTpDFjoDACCI5s9rXb/+kq/vdUeG6QxZ6AwAgCCaf54RFpbp4CSdIQudAQAQhPuO0xkAAOiFzqAzAADQC51BZwAAoBc6g84AAEAvdAadAQCAXjTvDIvFajSaHZmkM2ShMwAAgmjeGRUVpj/+8bOIiPT6+lb1STpDFjoDACCIHudNiosbZswIWbToXFNTu8oYnSELnQEAEESn55soipKYWDxjRrjNZrM3QGfIQmcAAAQpKmp49tn1Q4b4ab4NGxY4aJDbmDHH7B2azpCFzgAACJKdbfztb4Oamtq13draLOnpVb///QGVa0LpDFnoDACAIDp9rzUzs3ry5NCSkkaVGTpDFjoDACCIHp2Rk1MzdWpYZma1+hidIQudAQAQRPPOqKxsfv/941lZxl4n6QxZ6AwAgCDadobNprzzzpHq6mZHhukMWegMAIAgmn+eYf97rD3RGbLQGQAAQXi+CZ0BAIBe6Aw6AwAAvdAZdAYAAHqhM+gMAAD0onlnmEzt58/nOTJJZ8hCZwAABNG8M+rrW+fOjQwLy+h1ks6Qhc4AAAiix3mTxsa2uXMjz57NVh+jM2ShMwAAguj0XPjOTuvMmRFJSSUqM3SGLHQGAECQ3NzaIUP2xMTkarvFxubGxOT88Idb4+Ly7R2azpCFzgAACFJQUP+973lNmRKm7TZz5pkFC6L/9m/XLlsWa+/QdIYsdAYAQJCsLKOz80HN3zYpqcTFJWTfvhSVGTpDFjoDACCIHteBnj+fO2dO5NWrBepjdIYsdAYAQBDNO+PSpYLJk0+2t1t6naQzZKEzAACCaP5c+DlzIh0cpjNkoTMAAIJw33E6AwAAvdAZdAYAAHqhM+gMAAD0QmfQGQAA6IXOoDMAANALnUFnAACgF807o7y8afr001arrddJOkMWOgMAIIjmnWG12sLDM11dI1taOtUn6QxZ6AwAgCA6nTc5evTOsmWx6ncFpTNkoTMAAILo9Bw1RVEiIw1r1lxQGaAzZKEzAACCFBbWP/ecx/DhwZpv77577BvfWPWnP4XZOzSdIQudAQAQJCen5tVX/Q0Go4ZbTk7N3buVCQkFQ4b4ZWRU2zs0nSELnQEAEMRgMA4fHqzte7a3W9zdL732mm9Rkdo/4XSGLHQGAEAQPb5vsmTJucOH03qdpDNkoTMAAIJo/lz4mTMjTp3KcGSYzpCFzgAACKL55xkpKWUOTtIZstAZAABBuO84nQEAgF7oDDoDAAC90Bl0BgAAeqEz6AwAAPRCZ9AZAADoRfPOaGuzpKdXOTJJZ8hCZwAABNG8M6qrzdOnn96+/VJpaaP6JJ0hC50BABBEj/MmtbUtPj4XPv74TGWlSWWMzpCFzgAACGIwGN96a7/FYtVws9kURVHu3KkcNeqIydRh79B0hix0BgBAkKKihmeeWT948G7Nt1dfDRg0aMXIkUfsHZrOkIXOAAAIosfzWrvdulU+ceLJjo4uewN0hix0BgBAEJ2+13rlStH06eF1dS0qM3SGLHQGAEAQPTojObl02rSwsrIm9TE6QxY6AwAgiOadkZlZPXbs8epqc6+TdIYsdAYAQBBtO8NmU8aPP2GxWB0ZpjNkoTMAAIJw33E6AwAAvdAZdAYAAHqhM+gMAAD0QmfQGQAA6IXOoDMAANCL5p1RV9e6f/8tRybpDFnoDACAIJp3hsnUsXbthb17b/Y6SWfIQmcAAATR47xJe7tlxYrzBw/eVh+jM2ShMwAAghgMRieng3q886pVFyIjDSoDdIYsdAYAQJC8vLof/3jH7t1Jmm8BAcn/8i+bVK7VoDNkoTMAAILk59f9539u9fSM13bz8bmyc+e1f/xHD1/f6/YOTWfIQmcAAATJyjI6O2t/3iQy0uDsvDcigvMmX0d0BgBAED2uAz1yJG3ZspjS0l7+/aYzZKEzAACCaN4Zhw+nLVhw1pFJOkMWOgMAIIjmz4XfuDHBwWE6QxY6AwAgCPcdpzMAANALnUFnAACgFzqDzgAAQC90Bp0BAIBe6Aw6AwAAvdAZdAYAAHrRvDPKyprGjQtpbGzrdZLOkIXOAAAIosfnGVevFk2ffrq62qw+RmfIQmcAAATR6bxJbGzurFkRTU3tKjN0hix0BgBAEIPBOGJEsB7vfO1asYtLuNVqszdAZ8hCZwAABCkqanj22fVDhvhpu/3855+88UbQoEFuo0cftXdoOkMWOgMAIIjBYHzzzSCTqV3DrbW1s7i48dKlXCengzU1LfYOTWfIQmcAAATR4/qMmhrz4sXnxowJMhrVLgWlM2ShMwAAgmjeGa2tndOnn46Nze11ks6Qhc4AAAii+XPhx40LSUoqcWSYzpCFzgAACKL55xkVFSYHJ+kMWegMAIAg3HeczgAAQC90Bp0BAIBe6Aw6AwAAvdAZdAYAAHqhM+gMAAD0onlnmEztMTG93zxDoTPkoTMAAIJo3hn19a1Ll8bMnv1ZZma1+iSdIQudAQAQxGAwDh+u8XmTtjZLePjdqVPD8vPrVMboDFnoDACAINnZNcOG7SstbdJwq6gw1dW1pqVV/OpX/oWF9fYOTWfIQmcAAAQpKmr4h3/Y8NprAZpvI0YE/8VfrJww4YS9Q9MZstAZAABBDAajk9NBPd75woX8xYvPqQzQGbLQGQAAQXT6XmtYWMaCBdEtLZ0qM3SGLHQGAEAQPTojNjZ35swzjY1t6mN0hix0BgBAEM074+LFgsmTQ9vbu3qdpDNkoTMAAIJo2xk2mzJ3bqSDw3SGLHQGAEAQ7jtOZwAAoBc6g84AAEAvdAadAQCAXugMOgMAAL3QGXQGAAB60bwzqqvNHh6XHZmkM2ShMwAAgmjeGW1tll27rjmSGnSGLHQGAEAQPc6b2GzK5s2fb9t2VX2MzpCFzgAACJKVZXR21uU5art3JwUF3VIZoDNkoTMAAIIUFNT9+7/7zJ9/VvPNze38M8+4u7vbPYFCZ8hCZwAABMnNrR08eFdISLqG24kT6SdP3gsNzfi3f/M5fTrT3qHpDFnoDACAIAaD0ckpWPO3DQq6NXTojqSkUpUZOkMWOgMAIIge14Fu337VyyvBYrGqj9EZstAZAABBNO8MH58r3t5XHJmkM2ShMwAAgmjeGYcPpzk4SWfIQmcAAAThvuN0BgAAeqEz6AwAAPRCZ9AZAADohc6gMwAA0AudQWcAAKAXzTujq8vW1NTuyCSdIQudAQAQRPPOKC83jR8fcvlyrsnUS23QGbLQGQAAQfQ4b5KfXzdx4sHly8+bzR0qY3SGLHQGAEAQg8Ho5KTLc+EvXy6YN++sygCdIQudAQAQpKio4Vvfcn/llb2ab7/73f5Bg1a+/36IvUPTGbLQGQAAQbKza954I7C6ulnbrb6+9e7dytdf31da2mTv0HSGLHQGAEAQnb7Xmp9fN3lyaGFhvcoMnSELnQEAEESPzigsrJ82LSwtrUJ9jM6Qhc4AAAiieWfU1rZMmHCi18hQ6Ax56AwAgCDadobNprzzzpHiYof+5aYzZKEzAACCaP55Rmdnl4OTdIYsdAYAQBCeb0JnAACgFzqDzgAAQC90Bp0BAIBe6Aw6AwAAvdAZdAYAAHrRvDPq6loDA1McmaQzZKEzAACCaN4Zzc0d3t5X3n5777VrxeqTdIYsdAYAQBCDwThiRLAOb1s1Y8aZ1NRylRk6QxY6AwAgSE5OzS9+8cnVq/c13BITi2/cKI2PL3zxxR2JiXY/1aAzZKEzAACCFBbWf+c7m8aNC9F8mzIl7K//eo2ra5S9Q9MZstAZAABBsrKMzs4H9Xjno0fvbtlyVWWAzpCFzgAACKLT91r9/ZPXrbtosVhVZugMWegMAIAgenTG4cO3ly6N6fWBanSGLHQGAEAQzTvj0KG0hQujHZmkM2ShMwAAgmjbGTab4uWV4OAwnSELnQEAEIT7jtMZAADohc6gMwAA0AudQWcAAKAXOoPOAABAL3QGnQEAgF4074yKCtOcOZGOTNIZstAZAABBNO8Mi8UaEnJ34cLo9naL+iSdIQudAQAQRKfzJvv331q1Kk79lqB0hix0BgBAEP2eo3by5L2NG9Xu2UVnyEJnAAAEKSys//a3N44adUTbbfTooxMnfvZXf7Vm5swIe4emM2ShMwAAguTk1LzyyqcpKWUabqmp5TdulF66lP+Tn/gmJ5fZOzSdIQudAQAQxGAwDh8erO17dnXZvLwShg7dkZtbqzJGZ8hCZwAABNH8OlCbTVm58nxgYEqvk3SGLHQGAEAQzZ/XumBB9OHDaY4M0xmy0BkAAEE0/zwjIaHIwUk6QxY6AwAgCPcdpzMAANALnUFnAACgFzqDzgAAQC8DoTOOHDnS0tLyxF+pdMaxY8eam5v1XJc0dAYAQJCB0BmzZs0ymUxP/JVKZ7i6utbWqt3/4+lFZwAABNG8M9rbu/LyHPrnWVhn+Pj45OXlPfFX9jqjrq7Ow8OjsbFR56XJQWcAAATRvDOqqpr/9KdTAQHXKiuf/BHCQyKvz5g1a9YT99vrjK1bt965c0fnRUlDZwAABNHjvElVVfOaNWdnz46sqTGrjAnrDIvF4urq+sRf2euMnTt3pqam6rwuaegMAIAg+l2fkZpaPn58SFubxd6AyM6YM2fOE3+l0hm3bt3SeV3S0BkAAEGKihqeeWb9Sy/t1nx79VX/QYNWvPPOEXuHFnnexGAwbN68+fH9T+yM2NjYkJCQzs5OIUuTgM4AAAjS/XmGTWuKoqSlVb733vGWFrv/WovsjNLS0tWrVz++/4mdcebMmZMnTwpZlxx0BgBAEJ3OmyQllUyZElZd/bW4PkNRlPv3769cufLx/U/sjKioqGPHjglZlxx0BgBAED06486diqlTw4qK6tXHRHZGS0vLiRMn4uPje+x/vDPKysr27t17//59MQuTgs4AAAiieWfk59e9996x0tKmXicF33f86tWrn376aY+dj3dGenq6l5eXsFVJQWcAAATRtjNsNuXdd4+pXJPxKMGdcenSpcDAwB47H++M7OxsT09PYauSgs4AAAgyEO473i0zMzMwMNBoND66s0dnWCyWqKio8PBwYauSgs4AAAgycDpDUZSgoKC4uLhH9/TojKamJnt32uhP6AwAgCADqjMCAwN7XAraozOam5sXLFggcklS0BkAAEEGVGccOXLk/PnzVqv14Z4enVFVVbVq1SqRS5KCzgAACDKgOkNRlHXr1hUXFz/8Y4/OmDt3bj++DehDdAYAQBA649HOcHV17ejoELwk8egMAIAgmndGdbV5w4bLjkxK6YyVK1eWl5c//GOPzpg1axadAQCAZjTvjLY2y/79t37+8y1nz2arT0rpjMrKSg8Pj66uru4/PtoZe/fuTU5O7n44S/9GZwAABDEYjE5OBzV/244Oy5IlMXFxeSozUjpDUZTZs2dbLF88rf7RzlizZk1JSYn49YhHZwAABMnLq/3JT3yDg1O13Q4evH306J3vftc7JCTd3qFldYaLi8vDnx/tjNWrVxcUFIhfj3h0BgBAkPz8uuef37J8eazmm7v7pW9+c4O39xV7h5bVGREREVFRUd0/P+yM1NTU4ODgxsZG8esRj84AAAiSlWV0dtb+vImiKNu2JR46lKYyIKszOjo6Zs+e3f3zw87w9/d//Gmu/RWdAQAQRI/vtVqtto0b43ftuq4+Jqszmpqa5s+f3/3zw844cOBAj1uS92N0BgBAED06Y9u2q97eCb2OyeoMs9ns5eXV/e3WJUuWNDU1mUym/fv3p6SkiF+MFHQGAEAQzTvD2/uKj8/njkzK6gxFUbKysjZt2qQoypIlS1pbWxMSEgICAqSsRAo6AwAgiOadceTIHQcnJXZGenr6li1blAedcfXqVToDAADtDbT7jnfr7gybzdbdGZ9//vm+ffukrEQKOgMAIMjA7Ayr1RoWFhYTE7Nu3brMzEx3d/eB8Pi0h+gMAIAgA7MzFEUJDw+Piopav379vXv31q5dK2sZUtAZAABBBmxnhIaGRkdHe3h45OTkLF++XNYypKAzAACCDNjOqKqqOnDgwHvvvbdhw4acnBxZy5CCzgAACKJ5Z5SVNX3wwWetrb1f7iC3MxRF8fPzGzZs2KRJkySuQQo6AwAgiOadYbMpFy/mz5gRXlfXqj4pvTN8fX2HDRv2wQcfSFyDFHQGAEAQnc6bREQYXF2jzOYOlZnKSoO//1jND+24+Pj4999/f0DdOaMbnQEAEMRgMDo5BevxzvHxha6uUSoDAQHjFi/+QXb2ZT2O7iA3NzebzSZxAVLQGQAAQYqKGr71rQ2vvLJX2+1Xv/J/660Dgwa5vf9+yBOPu2/f+D99NGja1EHz53+nqChZZYXu7u4LFy5crI9x48bNnz9fZWDOnDnR0dH6/LeXhs4AAAhis9kaGlqNRrOGW11da0FBXUJC/m9+E1hW1vTE47a3Nv5xxqAx4wedinRXbFaVFZpMpkbdmM3mpqYmlYGGhoa2tjZ9/ttLQ2cAAJ5ijY1ty5fHOjntragw2Zu5lB0/8ZORi7a9szpqQ2VTpcjlgc4AADyt2tu7Zs06ExGRpT72/RXf77JZFUX56MBHZ9LOCFkavkBnAACeSjabMmnSycuXC9THNkZvDPg8wGK1KIpyt+zu5P2Ta821QhYIRaEzAABPr4KCOvUB34u+ntGeNuXP3/IoqS95fevrOq8Lf0ZnAAD6p8bWRrcwt1Opp3rsH/XJKEOlQcqSBiA6AwDQP527d25S0BPu813dVP2S+0vi1zMw0RkAgH7I3GF2OexyJefKE37VbnaPdD94/aD4VQ1AdAYAoB8a9emotJI0e79t6WhZdHJRaGqoyCUNTHQGAKC/qTZV/3rLr9Vndl3a5RPr025pF7OkAYvOAAD0Nz/b9LOSupJex5x3Od+6f0vAegYyOgMA0K+cTT+7LGxZQ0tDr5MhySHrIta1Wfrbrb6/VugMAEC/Mmn/pHP3zjk4/MKaF0ztdm9Yjq+OzgAA9BNWm/Vw0mH3KHdzh9nBl+RV5435dExbJx9p6IXOAAD0E3dL747wHWGz2XoffcT1gutv735bpyWBzgAA9AedXZ2+F313X979/31hcV3xnGNzuCBUJ3QGAKA/6Ozq/IHbD/r22qDEoMUnF2u5GjxAZwAA+oNJ+yclFSb17bXVpup5J+Zdzr6s7ZKg0BkAgH5gQuCE2MzYr/IO5g7zG9veKKsv02pJ6EZnAACebnnVeVMPTc2rzvuK77P01NLQW6GPPkQeXx2dAQB4uq05s+Z48nFN3urFtS9q8j54iM4AADw1Oiwdoz4Z9Yc9f3h0+9GaH7204aUeO0f6jRzz6ZgeO/+w5w/v7HnniftHfzJ6pN/Iv5nzN2/vefvRNxm9c/SJlBOy/95PMToDAPDUsNqsd0rvpJWkdW/dP08JnuIe5f5wZ1pJWkZ5xme3PhviOeTRnWklaffK7l3Lv/bDVT+8XXz70TdJLU4d6Tdyy/kt2VXZj75JUGLQr31+XdVUJfvv/RSjMwAATzH/K/6bzm3qsTPPmDfWf6zVZu2xv7KxckLghOK64h77t8Zt3XN5T4+d6WXpE/ZNePxN8P9CZwAAnla7Lu1yj3LvsfNa/rXJ+yeb2r701JLOrs7dsbtnHZ2VVpLWY94rxmvL+S09dl4yXPrwwIcWq0XzNQ80dAYA4Km0OXazT6xPj51JBUkuh13KGnp+PdU1xNXztOfjkbEuct3jn2TEZcXNOjqrvqVe2wUPTHQGAODp43XOa/uF7T12ZpRnTAyaWFJf0mP/5P2TL2RdePxNVoWv8r/i32Pn9YLrUw9O5ZoMrdAZAICnSVtn286LO73OefW4ciK7Knuk38iG1oZHd9a31E89OPWi4WKPN2npaPE86/n4Jxmpxalj/cf2OOeCr4LOAAA8TTLKM9ZFrHt8v8thl3ZLe4+dwdeCI+5EPD6cVJD0+DUZiqJMOzRNk0XiIToDAADohc4AAAB6oTMAAIBe6AwAAKAXOgMAAOiFzgAAAHqhMwAAgF7oDAAAoBc6AwAA6IXOAAAAeqEzAACAXv4PvA5XO2JU4IoAAAAASUVORK5CYIIA)
Δ1 = -459,98/EI
Δ1 = 285,36/EI
Δ1 = -523,48/EI
Δ1 = -321,09/EI
Δ1 = 257,60/EI
Utilizando o processo de Cross, determine o coeficiente de distribuição do Nó C, trecho CF
![](data:image/png;base64,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)
0,339.
0,264.
0,330.
0,397.
0,293.
Calcule o grau de deslocabilidade externa (de) da estrutura abaixo. Considere que a corda que está içando o peso não tem rigidez, portanto não participa da análise estrutural.
![](data:image/png;base64,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)
1
2
-1
3
0
Pelo método dos deslocamentos calcule o momento fletor atuante na estrutura [2] criada referente ao nó "C".
![](http://sga.uniube.br/images/uploads/15400/Imagem TE semana 9.jpg)
-0,4 EI e -0,67 EI
-0,8 EI e -1,33 EI
0,8 EI e 1,33 EI
EI e -EI
0,4 EI e 0,67 EI
![](data:image/png;base64,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)
MD = 316,57 kN.m
MD = 392,05 kN.m
MD = 177,58 kN.m
MD = 610,37 kN.m
MD = 32,46 kN.m
Determine, através do Método dos Deslocamentos, o momento Mc3 do pórtico abaixo, considerando N = 2:
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 40.JPG)
153,3
146,25
180,1
121,1
207,4
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Considere também que esta estrutura tem inércia variável da seguinte forma: Trecho AB = 3 EI ; Trecho BC = 4 EI ; Trecho CD = 2EI ; Trecho BE = EI ;Trecho CF = EI.
![](data:image/png;base64,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)
Δ1 = -52,048/EI
Δ1 = -37,365/EI
Δ1 = -74,315/EI
Δ1 = -63,542/EI
Δ1 = -45,122/EI
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
![](data:image/png;base64,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)
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 3.png)
– 9
– 3
– 1
– 2
– 7
![](data:image/png;base64,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)
Δ1 = -459,98/EI
Δ1 = 285,36/EI
Δ1 = -523,48/EI
Δ1 = -321,09/EI
Δ1 = 257,60/EI
Utilizando o processo de Cross, determine o coeficiente de distribuição do Nó C, trecho CF
![](data:image/png;base64,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)
0,339.
0,264.
0,330.
0,397.
0,293.
Calcule o grau de deslocabilidade externa (de) da estrutura abaixo. Considere que a corda que está içando o peso não tem rigidez, portanto não participa da análise estrutural.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbgAAAGKCAYAAAB+eFQVAAAgAElEQVR4AeydB7gU1fnGldiwRsUGsRF7BwUrIFEsCIoFUFAUREWxYBfLX7HToti7orGgYjCoUUSMJlFsYO8VRY0ae9fk/J/fZ751du7uvbt3y92dec/zzM7szJn2npl5z1fPPP/973+DJmGgZ0DPgJ4BPQNJewbmCSpCQAgIASEgBBKIgAgugY2qWxICQkAICIEQRHB6CoSAEBACQiCRCIjgEtmsuikhIASEgBAQwekZEAJCQAgIgUQiIIJLZLPqpoSAEBACQkAEp2dACAgBISAEEomACC6RzaqbEgJCQAgIgXmSFtin+1Gwqp4BPQN6BvQM8AxIglMnRwgIASEgBBKJgAgukc2qmxICQkAICAERnJ4BISAEhIAQSCQCIrhENqtuSggIASEgBERwegaEgBAQAkIgkQiI4BLZrLopISAEhIAQEMHpGRACQkAICIFEIqA4OA34qgFv9QzoGdAzkMhnQBJcIvstuikhIASEgBAQwekZEAJCQAgIgUQiIIJLZLPqpoSAEBACQkAEp2dACAgBISAEEomACC6RzaqbEgJCQAgIARGcngEhIASEgBBIJAIiuEQ2q26qJRH4/PPPw9FHHx0OOOCA0LdvX5uGDx8eRowYYcsXXXRR+Pjjj1vyEnVuIZAKBBQHp/iXRMa/1MJ4YOeee26YZ555wvHHHx/eeeed8PXXX4fzzz/f1u21117hP//5j7DX+6dnoILPgCS4VPRjdJMtgcDo0aONzJ555pnM6SHeP/zhD7b+6aefzqzXghAQAuVHQARXfkx1RCFg0lnr1q1zEpyvF8HpQREClUVABFdZfHX0lCKA+hH15M477xy+++67DAovvPCCre/du3fW+kwFLQgBIVA2BERwZYNSBxICvyKAzQ2C22mnncKTTz5pE44nK664YjjyyCMDRKciBIRAZREQwVUWXx09pQhAYhDc8ssvHw488MDQtm1bW2YdXpYqQkAIVB4BEVzlMdYZUoYABNahQ4cw77zzhn/961+Zu//ggw+M9Dp27Bi++OKLzHotCAEhUBkERHCVwVVHTTECc+fONSI79thjs1D48ssvQ6dOnWwbZKciBIRAZREQwVUWXx09hQjceeedOQnu22+/DTvssIMILoXPhG65ZRBQoHcFgwxrIdhY1/DfqgfSEsSNrQ0pLYr/+++/b+vZxnJ0m5ar307CPPmYS4JrmY6FzppQBF577TVzJsH+Fi0PPfRQ6NKlS1hhhRXCtGnTwvfffx/drGUhIAQqgIAIrgKg6pDpRGDs2LFhyJAhYbnlljOSGzZsmIUEEB6w0UYbWS5KhQek89nQXbcMAiK4lsFdZ00BAo899lj45ptvUnCnukUhUJsIiOBqs110VSlFAAkPSTA6kRVFRQgIgeIREMEVj5n2EAJlR+Cpp54KQ4cODUsssYQ5ojBv3769LaPyvOuuu8p+Th1QCCQdARFc0ltY91fzCDz66KNhmWWWCSuttFIgdm727NnhpZdesiF2WO7Ro4fZ9XbbbTeNI1fzrakLrCUERHC11Bq6ltQh8M9//tM8KwkdePjhh8OPP/4YXnnlFSM4QgmQ3MiGgufllltuGfr06ZM6jHTDQqC5CCgOTnFwisdqoWfghx9+CFtvvXVYbLHFwnXXXReee+65MGnSpPDVV1+Fzz77LBBagJMKdjlIDgJE0rvnnnvUZi3UZoqdq6/YOUlwze0aaD8hUCIChx9+uIUTXHDBBeHuu++2MeQ45C677BJWWWUVI79u3bqFv/zlL+GBBx6ws+24445hqaWWKvHM2l0IpAMBEVw62ll3WWMIHHDAAeZAcsghh9iV4SmJdMCoAwMHDgzPP/98uPLKK63OmDFjwhNPPBE+/PDD8Oyzz4aFF144EIKgIgSEQOMIJJLgPv7443DxxRc3fufaWjMIMLL1zz//HGbNmmUTmfZffPFFU9n5Ouao7FjPRx5V3o033lhT04MPPtgkppAYw+e0atXK7GoMhoqExv1xb3hPsoyTyYABA8J7771ndV999dWAShPiw17Xv3//jMTX5ElVQQikFIG6ssGhpmGcLeaNTZMnTw70kL0ucz6Go0ePDkcddVS4//77bRvrmaZOnRpOOumkcNppp4X/+7//CwxnUompb9++wSccBlBF7b777raOnjz/fSL7Bcv77rtv2H///cPw4cPto8Z6PnwHH3xwYDm+nuwZvi/zXBPHzbW+pdaRu5F22XPPPW3invbee2+7T1/HHAcLX7/NNtuE7t27V2Q688wzQ8+ePTPH5rynnHJK5v/48eNDdOI68H6EhBqz0ZCea8SIETboKWSIfQ1yI73Xu+++a7FvJGNm/VlnnRXefvtte84hw2OOOcaOjZ0OgmNCsmvsfNpWX/YitVf526tuJDgaH4+yQibIbPDgwQXVLeR45arzxhtvBJ9mzJhhPXY+iqz7+uuv7T+9eCYKc9RS//73vwOZ6N966y1bz2jROCJQouvnzJkTGJKF4sewP7GfxrbFqupvmRBAUoMEl112WetoQWy0LZO3M8/Buuuua+R61VVXGenRkfvNb35jnTIuhf8QHh2C3//+9+Gjjz4q0xXqMEIgeQjUDcEVAz1EsMkmm0iFUwxoqltRBAgHQOoaNWqUdUqwuWFH83Rejz/+uEljOJ7MN9984bbbbjOJkItadNFFw2WXXWYhBEiuSOkUvC/PPvvs8NNPP1X02nVwIVCvCCSS4PbZZx/7mCjFUb0+lsm77nHjxtkziQqSwG5c/pmIeZs+fbq5/vO8/ulPfwqQGF6VXv74xz+aLQ7pDZK85pprbNN5551n/3FAURECQqAhAiK4hphojRAoOwIXXnhhaN26tWkWdt1118Co3zjWEN+GihIpDDW8ExyqSx95AIJjHyQ70nmxH4U5ziYQoooQEAINEUgcwfGxwI2anu7pp5/e8I61RghUGQEGPl1//fXDhAkTwqeffho22GCD0Lt37zBz5kzzCMX+iqNTVILDExhJD6kNguN5Rqp78803w9///veMjXW99dYLCy64YMZGV+Vb0+mEQE0jkDiCe+aZZ+xjwAcBQ7yKEGhpBC655BJ7Jq+//nqT0v7xj39YsDZSGW7/eFTidERxCQ5PSgiQAsFhd7vlllvsP45FN998czjjjDPC/PPPbx6/ZD5REQJCIBuBxBEc8UN4l7Vp0yaQ9YGYKhUh0FIIfP7552GNNdYIhx56qKkcITNI7d5777VsJYQg4CXLhGelExxOJo888ohd9rXXXhvwqoT0/va3v4Xtt9/enm/CRwgfIN2XihAQAg0RSBzBcYvYNYh5UxECLYnAX//617Dtttuaypwckk8++aRJcEhgTLfffrtJX3/4wx8ymUnIXoLmAXLDAYVC/NwNN9xgsZ2o34nxZJQBCllPRHAGhX6EQAMERHANINEKIVA6AtjTIK5BgwaFiy66KGy++ebh5JNPNvsZIwMwQYCuUqcu+xDY7yECbKdst912puJcddVVM6ED9913nzmZoKpceeWVw8svv1z6ResIQiBhCIjgEtagup2WRwCnEUhpo402CsS13XTTTSaBoapEJenpxxgOB1LDw5LMKcTIXX755eHUU0+1sABi5ygdOnSwvJRIcqgxseExrA5zQgSQDk844YSWv3FdgRCoMQREcDXWILqc+kYA+9qKK65onpKoGYl/QxLDI5JMJauvvrqRHGEAEBY2OtKPYaOD/Bj0dI899jAiQ7o755xzwk477WS5N1G9Q4pM2JpxQtlwww3DxhtvbEma8bBUEQJC4FcERHC/YqElIVASAoQA4BlJGAC5K8lrSj5JSM8LWXYYCufEE080YqMupEc+TvKTIuX9+c9/tnAAUsThYNK+fXtTbUKGEBtjx6HKRO0JAZK3cskll7R8qn4ezYWAEAhBBKenQAiUAQGkJyQwhrshFyqqQyQ47GkkSI4WHEkgueWXXz6ce+65gdyiXvCihMCOO+64TMYSwgTwluR4xx9/vO2LpzCOJqgs8czE1rf44oubN6YfS3MhkHYERHBpfwJ0/yUjwDA2Sy+9tI3+QKzblClTLKgbl/54IVsJQd3kkcTeFi8Q3GabbWbSHypMCgS32mqr2TlwKPFUXWzDFsd5WLfFFluETp062br4cfVfCKQRARFcGltd91w2BEiXRaosEgswhBGOH2PHjrVwADwl44X4N+pid8tVIDi8JRlCB09JCgTXo0cPk9wYfSJakA5xRuG8SH0cG6lORQgIAako9QwIgWYjgLckyZPxlrzjjjtMksJ+hsowWlAtUhgLjri4ww47LDB8Tq7igd7s4/sxfiHD4uBNiYdltOCRibMJacAgRMINiIvzYZOidbUsBNKGQF0NeFrogIB4qGHbKLS+6pV/oMGkY4pDCQPHkmOSkcYJzobYkJ7IIxm9f/4jYRE6QEaS+PZoXQK68aSkvtdjdHocTBjFHFUoQ+xE9yHDCR6aDPSLYwrpu5Amo3W0rGc8jc+AVJRp69LofktGAHLbbbfdzC6GByMEBLndc889mUBsPiZ4UFKQsHA+IdatqeISHETpqkbi4yA4HFdWWGEFy0tJ4mUfVYBj0qnDFofn5oEHHmjn89EImjqntguBpCIggktqy+q+KoIAqj9CAbCTkewYYiPjvwdl+0khuGeffdakKtz/iYcrpEBwvXr1MomMQVApRx99dGbXAQMGWNwb0hqFkd3dGYVRC7gOxpljZPDhw4dn9tOCEEgjAiK4NLa67rlZCOCxSND1OuusY04iuOw7wUE0FJe6WMbJZKGFFgojR44Mc+bMKeicEBzkhdQHwXHO6KgYn3zySdh0003N0xI7Hk4nBIBTGEaHCYkPCbNdu3ZGsgWdWJWEQAIREMElsFF1S+VHAHUgDiJkDmHE+Gg+yVxnw+EDm9uRRx4ZkKwKLRAcgd14UVLwjMQ5JVqog7fkEUccEV2dGW0AGx0OKhAcqcJUhEBaERDBpbXldd8FI4B0hv0Mchs/frx5TN56660BaQo1ZLyQSmuBBRaw0beLHa4J8urWrZtJbkiDEBxhCHhseiF/JcTJ+unTp/vqzJxRCggwJ5tKq1atLBtKZqMWhECKEBDBpaixdavFI+Dpt+abbz4bcJQgbUaNh3xQHzKOW7RALKgwGbG7OQWCI+6NcIPBgwdbeAAk9d5772UdjrCB3/zmN4HAcqS9qEMJNjjW4/RyyCGHmDNM1s76IwRSgoAILiUNrdssHgFGyd59990tW/+xxx5r0hLD0+DBGA24xskEKQ9prmvXrjbQbvFn+2UPCI4gcEIQXLVJIuY4wVGbeDpGEiA/ZbyQxuvqq68Ol112maUEmzhxYryK/guBxCOgOLj/Kj4mjfExTd0zhIWjxu9+9zsbZZv8kjh/oCpEqovvj7PJsssua4Hf8W3F/CcObr311rP8lFwD+6IWfffddxuckwFRsdcddNBBgSTOOKb4uSA4sqZAcMOGDbNj4ozi2zXXe5+GZ0ASXOL7MLrBYhHAocS9JVEXkj0Ej0aCrymoAL3wkfCRu9mn1IIEh20N+x7nRDokO0kuCY5zEfw977zzmkozfm5IkVHEiY3D4QWi43pVhEBaEBDBpaWldZ8FIfDTTz9Z3keGsWEEbsjBY8tmzJjR4BjUd49GVyk2qFTECgiOkQJef/31jAMJxJmP4Dg048G1adPGRhdAkuSaKDigoFKFkLkPbHZIeipCIC0IiODS0tK6zyYRQCVIkDXkxgjZ2LDwliS2DMmHlFgUnEywwc2dO9fGYSNdV7lyP0Jw2PFQh95yyy12vjPPPLNRgiM9F7Y40oBxjS6lsQyhQcxIoYwf16VLl0zcXJOAqIIQqHMERHB13oC6/PIggEMJNjc8IJHcIDc8IvGWJA1WvDBCd9++fa1+ru3x+oX+dxUlJMpEIaAcj818Bbsgdrg999wzEz9HXdScXBv3AEmTM5NUXwyiqiIE0oCACC4Nrax7bBQByA2yIr0Vkg4qySuuuMKkN+xYFGLPXE1IXshNNtnEJL1CM5Q0egGRjRAcqcCw9+E0Qomm6opUzVpkwFUSMZMWzFWUOMNw/VwjY8+RLuykk06yceO4ZxUhkHQERHBJb2HdX6MIIP0gueGNyMd/9OjR5rXIOGsQGcPRUHA8wTOR+pAhQd+VsGdBcMSuIb1xbq4hmqqrsZsh4wnqVUYh8EKgOepUVKhuj2N4H4UNOEKaJxmBxBIcdgx63SpCIB8CPB/Y3FBLnn322eH88883dR7jr7m9LfoM4bTBwKPUf+edd/IdtqT1ENxpp51m14HDCJlMOnbsaETX1IEJOsejEgJDevNCzkqOiVcmkwd/R+/N62ouBJKEQGIJjp64ihDIhwA2LcgKiQfJ7ZJLLrGx1HDLjxYcOCiQHmMMdu7cOadNLrpPKctugyNTCZ6PTDiGFOrEQsgCmU9yETD3hpqS5M+rrbZa6N+/fymXqn2FQM0jkNhA7379+imoVUHsOZ8BvCV33nnnLG9JvBZxxvDgajwRfWKcNciQAGxCAXx9JeYEejPGHFlKcApBkoRUcwV65zs/3pJIfZAcEpvX496w7V166aWWJ5ORDp5++unMdq+n+a9tLyzqG4vESnAko+XhVBECcQQYJ22ttdayZMSo7ogTI/0Waj2WXUVJfsennnrK3PZRS5Yjzi1+LfH/SHDLL798uOaaazKbCDZ3B5fMykYWyGO53HLLmdqVxM/Rwn/uieOThoyREaIDp0bralkI1DsCiSU4qSjr/dGszPXjiIEkNmHCBBuJG49J4s1IexUvhAIgPaHGzKXyi9cvx38IrkOHDiaxkVoLN/9iCY7r4LpRQeKs8u233xpp+/WhpoTgLrzwQgtS96F5fLvmQiApCIjgktKSuo9GEUDVB7ltttlm4bzzzrPYsjvuuMPiw3LZt0iBhZobcquEt2S+i3UbHG78hAk8//zzjabqynecKVOmBEZAiHpgEguHI8oPP/xgHpWci6TOa6yxhoK/8wGp9XWNgAiurptPF18oAnhLklJr6NCh5lGIhyIffArLXoghY5gZPvyoMaslufn5IZ2VVlopjB07NnNdzZHgOB7q1yWXXDIgiUYL9jxscwyMStwfRIhEqyIEkoaACC5pLar7yUIAb0nIYsEFFzSXe5wssLPxgYfgcCyhQGTEuX3//fdGhKgxy5mhJOuiGvkDwZFcGdJ14sXZhHi4Ygv5LInvw6EmXpDkSAHGoKhjxowxtS2px1SEQJIQSCzBKQ4uSY9p8+4F1WOfPn2MsLCz4fLPnABqArbjqkmIhKBvMppUw6Ek111BcDi0oJ6EcCkQXnMIjn0JMyDDCSSPMwmjC1CQVDkmNshzzjknLLLIImaTs436EQIJQSCxBCcnk4Q8oSXcBt6Sa665psWvkTSZMd0gOQYIdfUkh0eKe+KJJ8xbcu211w5xz8MSLqHoXSG4gQMHmk3MRwsncwrB2s0pSKYrrrhiGDRokJGae2MSZ0fgOiN/E5aAqhKSi8cBNuec2kcI1AoCiY2DIyhXMSz1HcPS3PZDMiH5MPkir7vuOktLRW5JyIMPPNIZqkuCojkHHpQMOcOoAG+//XaLPjfEwR188MFGuhAt14o7PwTXXDyQBrE/QmI4mPhxIHbUsJD9xRdfHLbeeuvQs2fPzHavp3k636MktHtiJThsCzSQSvoQwPtxiSWWsI/2McccY8HN2LOQZuJ2NfI2YqfC5kbC4pYukDADnkI+SJuQDlJlNPVWsdcIqfXu3duSLMdVnahrIcBp06bZCAqoM90uWex5VF8I1BoCiSW4HXfcUQRXa09bFa6HoW5++9vfmjoSiQW7Gk4l+VRvECHSDdlKaqE4wSG5QW4UyMlVi829RnBgwFMk27hnKNjgRckwOniPLrroos09jfYTAjWFQGIJTja4mnrOqnIxuMWjZsSxgsTJSG133nmnSSduw+JDTyEGDnUckhuqwFqR9iE4QhpIiOwZRnAyKZXguGdIDHywN+Jh6QVnFrxK8TCF7KgzatQo36y5EKhbBBJLcPKirNtnslkXjh2JHIw4ljB+GumqkNx8uBs/KCo6xkdj4E+8JWvNNR6CI80WOSL92psbB+f37HNyUbZr187In+wmXliPRynD6Zx++uk2ptxiiy2W5YjjdTUXAvWEQGIJ7sADD6yZXnk9PRD1dq1k/MBDkA4NKkmcNLAn4f5OqisfsNTtSuRh3GuvvcICCyxQFqmo3Hi5ipLjvvHGG+b0gjRXDgmOY0KWeEteddVVWZcOPoyBN2PGDJPmtt12W1ONRokwawf9EQJ1gEBiCW7w4MEiuDp4AEu9RNoZJwxUbBAcakk+1JBD3N0fKYUs+6glyVZSiwWCI5MJ94HKEFXiAQccUDaCA5OtttrKVKBxxxXCEshuQugA3qcEx9NRUBEC9YpAYgmOj12t2FXq9eGo5evGpoaHJKpGpDbsbhACNjeX1qLXD2HgnYhasha8JaPXFl12giMH5SeffGI2sXKpKP08jzzySJh//vktJ6eve+aZZyznJtjdfvvthueAAQPCTjvtZCEVXk9zIVBPCCSW4LbffnsRXD09iUVeq4/EjaRBADcZOnAgwSU+V2mp3JK5rqWxda6iRL0K6VDorMWzrjR2jEK2kb4LNW0u71LSlWG/POOMMyyXJQPCqgiBekQgsQQnL8p6fBybvmY+vngDIoHst99+4cQTTzR14wUXXBDuu+++zAH4QFOwKUGGqCUvv/zyzPZaXYDgkJyQRhmPjoLTTLkLzjVIs3FvSWyaeFlyTpI00zFYZZVVgobUKXcL6HjVQCCxBMdHQirKajxC1TsHUgxZPYhbYzwzpDeI4Isvvmjg8Yd9Ce9ARuImt2OteUvmQw2CI8MKsWpcP6VTp07NzkWZ7zysv+iiiywgHiLzvJdkeCH4nc4CHpXYKsnyggpYRQjUGwKJJbhDDz1UBFdvT2MT13vvvfeGhRde2D68V155pX2En3322cAUD17mg01Ox9VWW62Bx2ATp2nRzRAcCZ+xK+JggmTKCN+oLMtdSDiNQwtemlH8SMRMyjJsdZMnTw54JGPrrJdOQrlx0vHqF4HEEpzi4Or3ocx15ajMUDMynttNN91kCZSJ28o1GCmSHqNi17pDSa77dBsc4Q2HH364SVlDhgwpmxdl/JwExK+66qrh7LPPzmyC4F5++WUbbBWscdzp3r275fbMVNKCEKgDBBJLcNgWpKKsgyewgEs84YQTTILo37+/hQPguo63H+o0Psb/+c9/zLkEz0psdHvuuaeFDtSyt2S+24bgunXrFhhRHJKhlCuTSb5zktqMdGCuEvV64Iw9jncJkmvdurXNfbvmQqDWEUgswWF7EcHV+uPX9PWRfot8kdiD8JbEFsSEt+SLL75oWUmI3+JDTD5JcpAyEjfZSuqxQHDYGI866igbsw5nmXKHCcRxIYYQkos7nHg91MGoSocNGxa6dOlinQjfprkQqGUEEktwUlHW8mPX9LUhieEEMd9889kgpbisX3jhhUZsSG7xzgtxbri+12L6rabv9tcaEBxJlslDyT1yr5UmOM6OUxZj5xEgHy9giwR39913G/mSDk1FCNQDAokluL333rvBR7AeGkTXGCzmi2waeD8eeeSRYfz48ZaXkQ9tNIib9FUEQ6Na22677Uwtedlll9U1hBAcyY4Zo45gb+LUqkFwOJQstdRSAXsfqt5oyAXpzRi6h+sA3yWXXLKmg+Xr+gHQxZcVgcQOeIpnGD1gTfWHAW7yDO2CepKYNybIjY+stydEB7lBcnRmXC3p2+t1jvcknp+QG/eGswkEz7zS94TtkoTVpPPCq9KlSM7LiOgE0uPss/rqq4fDDjus4tdT6fvV8evv21BsmyVWgpOKsqwdoaocDEkMyWHFFVe0DykZPFCNTZ8+3WKz4hdBfciN7Pu5VGvx+vXwHwkOgkOiYoQEJLkxY8bYyN6Vvn7smIRhoA7GvokDjxdUpQTNE6qBtEwbeTC919FcCNQaAoklONQpKvWFAGrJVq1aGbkRf4XTA558DHETT/qLQwkfWiQ3SCEphXvBFkb4A6RCqUQmk3x4TZw40eyejJdHb9kLbUAS66lTp9poDeBOAHqUBL2u5kKgVhBIJMHVCri6jsIRQGpAPeZekmQogcRmzpwZyEpC4PFLL72UOWC95JbMXHCBCxAcgdUQuo8HV02CQ+1L5hJCFXD0QZLzIHA8V2kfJGvaBynutttuK/DOVE0IVB+BRNrgitXTqn7L6uIZogVvSeym2N1InHzuueeaxySqOtoHexDSAmm5Fl10UfOWxEaVtLbDBnf88cebihL3fdJobbLJJibFVuter732WkvETCA9mEdtcZAeTifEJpI2bY011khcG1QLZ52n8t8dSXDV71TojBEEkATwyoPQjjvuOBuLDNsOKjEKeRG9YHNjsFLUY5deeqmvTtQcCQ5JFtJHOiKTPzFqH3zwQdXuk8B5Ut21b9/eJGdOjHrSCyRMyMDIkSMt1ReErCIEahEBEVwttkoKrgkCw6Fkjz32sDg395TEOzKegQT1JJIbI3dDbq4ySyJMEBzj1l199dVhypQp5j2JxyLSajULmC+00EKWrJr2iLYJUjWermeddZaFcTAwar0G1lcTU52r+giI4KqPuc4YgiXxxdbDiAA4BN1///3hzDPPzMS5ffvtt+bMAFh8UPfZZx+Lc0uKt2S+hwCCW2aZZSxziOfZrHSqrnzXcuyxx5qE5g4+ZIzxcsstt5gXJUTM2ItIfEh+KkKglhCQDU6xclW1oWDTQf2GShIvSWxMkBtqLs9QErVNQHSoJVGXQW7RbUlcRv2HXQsJyvGoVhxcLjy5lk033dTscKiTvQ5tga0U8jvllFMswwnqZN+ueeXtS8K4aYwlwdVSdyMF10L2ekYFwBsPySyaxR61V7ygJkMtecUVV8Q3JfK/qyi5OcejGpfvB40AACAASURBVJlM8oFJuAa5MZlHC4mgITxi9fCqxOsSiRwvTBUhUCsIiOBqpSVScB14BS6yyCLhgAMOCLfffrs5UTBnUE2P+UKio+CSzrhopOtKk32H++/bt6+panGqqVaqrnyPH+3SuXNnawc8KAn0prAeadwlcEiOUdaJo1MRArWCQKIJDocF8uqptDwCqLLIdXjOOeeY3Y2sGKTfIs4tWhjYkw87g5UiOaCqS1Mhc0vPnj0tVRfpuigtKcFxflJ0EfPG2HDxQmwi0h3b6JAQ/C0pLo6S/rcUAjVHcHjIYZ8h1RY9/ah7clMg4ZmH5xlGeYJjedmibuZN7a/tlUEAt/927dqFwYMHW7Je1I3EWOXyhnz66aet3cjmQaA3MVhpKq6i5Ll38ud9qMSI3sXgiicn0jTenNGE15AZHRXUqZAc7UxOSxUhUAsI1BTBYZ9BHUJvkalNmzYWA1Rozjt6mpDan//851rAVtcQgtloVlhhhbD//vubrQY1JZIJHnmzZ8/Owuibb76xUIC11147vP7661nb0vIHgltppZWM3Nw1v5qZTPLhjCSNevmII45o4C2J9yQxe7y/dEppb+yrKkKgpRGoGYLDzoK3lqcnAhhsM6ipeOkbK/TyTzzxxKrHCjV2TdoWzLtu2WWXDUOHDjVbDYOW4kFJhyVuV6MN8ZYko0lUQkgbjjzrEMXcuXNt9HJwodPmge8tiQdSGu8jnp7RNsIeB6HRscRmiPYFFbOKEGhpBGqG4FB9oJ6KlkIJbuzYsfbixfePHkvL1UUAIlt88cVtJG6yXrgUwnKu4rkl48SXq26S10FwjJzNKAKMokB2ly222MLGyGvp+8bxZ6uttgoHHXSQXQpD+ETzg9K248aNMymO7CuMTqAiBFoSgZohuFwgQHDYbfDeyleIBWndurV5nuHVReHj2lTBBkSqIbIxIFGQVw8niO7du5vdbtq0aRbAyjqmuJt0U8dP83Y+bO4tSXwbw71gp2G929R8zDHalmBhBvm8+OKL0wyb3TsERyYTkhwjyTEGHpqNamcyydcQ2LhpW94fJDdIj4K6mWUkO+IaGV0dklMRAi2JQM0SHL1DVDMXXHBBo/hAcKhNIKaTTz7ZVDt8LLHjvPDCC3n3xRGF/ZZeemmzDyEF8oEl7op4nuHDh9v+HAP3Z1y3VZpGAFUxmKKWvPzyyy0d17PPPmsfvg8//NACgTnK119/bQNrkqGEdkibt2Q+JCG4DTfc0OIE6WRRWtqLMn6tJH8m4TWB3q6q/Oijjywujo4MCbPJobnKKqsYScf3138hUC0Eao7g6CGiztphhx3sw8eLRDqnfIUXjA/kvvvum7HfIcFh+8FRJZ/LMslrGZm4R48eWYf+3e9+F7beeuusdauuuqpll8jl9ZdVMeV/CPoFP6RuwgHwgsSpJJ/DCA4LSAPYbVyySzmEZm/mefYgb/BoqVRd+doCabJt27YmxeWqA8mRZ/Soo44KK6+8soV95KqndUKg0gjUHMH5DZMK6MYbb7RhUfDKylcwePNBiGdbJ48e61GF5SsdO3YMAwYMyNqci+AgQVIWieCyoMr6Q5wbHQpwZygV4txQsaFqc/UaNhrUyDhM0MNHUtZ4YlkwGsGtu+66polw6ajWJDiumEw0SOouZbIOqZz2xdmEDDVMiy22WBg9enQmkD/7bvVPCFQWgZolOL9tPpL08pEGcpVjjjmmJILjgxwtuQiOTPdIe1KjRZH6dRkpDYkZyQ0SI24LexthG6ia4wWJhE5LHPt4vTT+RyWO2hZyw/2eqRYJ7rXXXjMVJKp8L88880xmcFpMCwSt4zlLR7Mxc4Hvr7kQKDcCNU9whA00JsG5Da65EhzBq9GSi+D69OkTCDxOu4dfFCdfpndOLx3SItAXUiN9E6mbvvzyS6+WmWPrXGKJJUx1mVmphQwC7mTC80ynDnVfLRIcF4wUzlh+eE7GC3GOXD+pvfCQ7dWrV7yK/guBiiNQ8wRH1otCCM5dlx2xQlWUhRAcnpZSUTqyv85xMph33nnNoYTEu5AXNlS8UlFXRe1qSHQMh0NvHo87PPBUGiLgBIcEB2aUWiU42hDi2nXXXTP2b64XTQchO6gq8aBFyiNpA5oQFSFQTQRqhuDIbrHlllsGHwMLEPDM6tKlS1agNx9QstFfe+21hhMSHMZsJAgGxfQCwaHqaexDig2uEIIjswQxXXgDqvyCAIG9fLQgfuK1UCVjMyXLPNIH7UJxOxJelcRzobJy13Jh2RABJzhwdPuxDyXUsHbLr8H2SnA+Dkbe1lwVwxzxLmMjnzp1qr2fqPn9nlr+ynUFaUCgZggOHT1xM3wwt912W5v69+8frr/++qx2QK+PKz+u1F54kSBHvB/ZzotGoCxTvsJYZASt8tFlPCtsR4wY3aFDBzsOqjdSR+HRudFGG4UNNtjAAlg9AW6+46ZhPdIaDiX77befjQcGafGBI+jXMadzApGROJk8hsRyXXnllWmAp6R7hOBIVxd1wa+VTCa5bgwiQ3uCp/Grr75qzjHUYz2OYsSy4nBEzCnhO0ijKkKgWgjUDMFxw6i2IDSfPvvss5w4MMTKHnvs0WAbPcVoL7JBhSZW4PGHak0lPwJIbpDbwQcfbDYWyO2pp56ynnk0IB8sCdGgrX7zm9+YdJf/qNriCEBwdAYgOJx3CKgmpjM6mrbXrZU5HUEcwUjP5QmiuTakeOyw2OpQV+KNTHiB3rFaabnkX0dNEVyhcGO4jkpwhe6neqUhwEd3mWWWsZhDgnlxJOEjjGMJqip67NFCCAYjcZOpRKUwBCA4Og0UyA2MsXN6qEVhR6l+La4Z+6pL8FwBIQN0WiG9q666yu4HTQgaGhUhUA0E6o7gUBFik8BGoVI9BCAyvCWxa1522WXm3YfEjJcfcW1xm9t5551nHzw+0CqFI+A2uGuuucbiyMB1/PjxNU9wXCfPB8H78Y4O23hO0Mww2kCrVq2M+ApHRTWFQPMQqDuCQx3SmONI82DQXo0hgAqSjxcDWpLOjI8VNstc9kgGmGVUAOqzn9qqMWQbboPgFlhgAcsEwrNO2XvvvWue4LhOvGgXXHDBBjlFMRugsiaoH2mekJvevXs3mmO2ITJaIwSKR2AeeleahEG+Z4CYNtSSSG70wJHeyDFJVhdyS/Lx8n1xKMHmhqoKF3ecTHyb5oU9Y3gdEluGxOzY4uhEwHytY8jgwiSKXn755S1MIHq9pGtD60IKL54jnhFyx0braLmwZ0Q4FY5T3UlwxXO49mguAp5+izyfxLBhR0H9xFhlUZuQO/agnkJyI48iGThUikcAte9OO+0UkIQ//fRTO0CtxsHlujs8JolbnTRpUtZmRiQnNg5yQ4rjmSJ+LhoWlLWD/giBMiAggisDiEk8BI4BeEsStkFMIQmskSoI0o6Sm987uQlxZyebiUrzEcBLFQ9hJDawJhF1PREcd06idOJGCR1h6BxCBihI+DjOoBUgndvCCy8cevbs2XywtKcQaAIBEVwTAKVxs3tL4vFGTxyyg8CYo5aMF6Q74gkV5xZHpvj/2ODIwI9zTq1nMsl3dzwnEBzxktECWRP6g8cly9h08bLNN9pEdF8tC4HmIJBIgsM47x+H5oCS5n1wFMDLbciQIRa7dOmll9rHlrRbhANQyEbh+KJmwmlAg5WW56mB4MjKg4qXGDKIAELIFxNanrOW9yjYiPCiJSEDxVXYLLMNxyMGcsVZaa211gqML6ciBCqBQCIJDn0/mUhUikMAr0d63oxujjRGCi7SkxHLxIeJcAAv2IhQRxKjRb5BlfIgAMGRGo6PPyphCvke3aOyPGep/FHIZIN6m+xA8dRsEB7PFrGUDK3Url07y2Fa+avSGdKGgAgubS2e536xizDkDenOGOML0nL1pHvwRXcl9RKecNjm4h+waD0tF4cABEe6OLxUPW8jKksIo96Kx0K6tM8QO9HCs0OGE5450uFptI4oOlouBwIiuHKgWOfHwLEBqQF1Eem1LrzwQkuthb2N+KV4wb2bJNWomZDsVMqHAARHaiu8VRluhvAM8jzigl9vBbU2MXwMQQV5RZ8lJDhU3owWwvOE9y3SnIoQKCcCiYyD48OMlxYfX02NY0AvGm9JPqQkxmVoICQ3VGI4C8Txw/kBm9uIESMabIvX1f/Gsc+FD3FwdDaQevBeRU1J0nGXonPtU8vr8ARt3bq1Bf3HrxM1LLFx2G9J60bOUp67eD39L/45Ema/YCYJrpzdhTo7FjY3grjJ60kwMS7d2Ntw52Y5Xs4++2xTYxLnplIZBJDgVllllcBoF4yQTam3MIE4MhD0aqutFt58803rRPl2njEmVLHkl0XlLSnO0dG8HAgkluB23nln6wmWA6QkHoNQABxKMPQjNZDvEOM/ajF6f9FC8DH1USMxtJCCuKPolHcZguNDTyeC+DFwr3eCI2EAQ2ExSgIJmOOFBAKMCn7ooYeaFMeYjypCoBwIJJbgCCCNf6jLAVgSjoHkxgeHOCSkMtIn4WSCusizZ3Cf7t5NnBv1iYWTQ0llnwAkaDKZMGgs8WF4rtY7wYHYxIkTLeaNzlK0YJdjLEiSS0OEDGbcrVu3LI/daH0tC4FiEBDBFYNWAupiV1tuueXM5nbOOedYOAWxbqiJ3GvPbxNVJY4k5BbEEUDk5shUbk7ng0wgDDtDp6MeM5nkQoeOE56Sw4YNMymOZN1e6EgxWC45Ton5Y4Rw71x5Hc2FQHMQSCzBketOElz2I8EHEwcGYpMuuugim+g1v/322w0+KAxKyejoGP6PPPJIYZkNZcX+4XjRpUsXk2rI3chAp0mQ4ADs2muvteBvnqu4VyjPIaMNkN4Le13Xrl3rLvavYg+FDtxsBBJLcLwgshX9+lzgjYe7NsG3J554ohn7sfPgRYmHHoUOASokJLU77rjDMpqQQFmleghgg6MTQugGBIcXIplNcuX/rN5VledMJGDYcsstLa0bzx2FrCZulyO1F168dL7IpoO0pyIESkEgsQSnTCa/Phaovdq0aWOSGz1kT4JLQHeugr0ER4djjjkm12atqyACEBxDztD5cG/V7bffPhEEB2wEsENeOCsREvDqq6/aiALYGnkueSaZCENBNe6epBWEXIdOMAIiuAQ3LrfmDiWDBw8OF1xwgamJcM3GthZPhosERyb7+eef32xuBOqqVBcBJzhUlW7zRE2cBAkOJNGqIJkhlRLs7YX1SHPcM1l0iLdEVTl8+HCvorkQKBqBRAZ60zPE44+Xho92WifIjcEz8crDDXvy5MmW45BMJWBC1hKM+zg04JKODQTJjd41H5q04taS903IBh9/CA7phVygSDz1GuidC0sSMZAJh04XXpSk8HJpDtLDEQqVep8+fez5RcrLdRytS++3rdC2T6wEhx0jzTY4bBwMPMkwNqRDwsDPnGDb+CCTeEti+IfcsM+55FB0d0k7lIwAEtzGG29sLvO4zvft29cCv5MiwTlAqMF5PhkglfL999/bQLoQOffKyPFk1EG1TqoyFSHQHAQSS3BLLbVUagmOHjAJeldfffVw6623mk2DgGGkASYv7smGIwlqMDmUODItNycmrG3btiZFE4RPSYoXZRxVVJDEvLmTE9uJxcQWhwTL/RPKQscLQlQRAsUikEiCi6ooiwWk3utDZHhL/v73vzeVI4HDeKbx0UDVg1TrEhqu2cQdkYvy8MMPr/dbT8T1RwkONQxtlVSCQz3pMZbuSUkjui2OZxdiIy6QGDrGx1MRAsUgkEiCS+t4cFFvSRxImDDWMwcTyhdffGHqL5Yx5jNEjrwli3llKlsXuxuB+HhQEotIxySpBAeSdKxQVZIqzsusWbPsmeW5ZQBekoAjxaG+VRECxSCQSIJLowTn3pKbbbaZDUQKsZFii+BuHEiiBSmO7CWLLLKIDc0S7T1H62m5ZRDAKQjpBWk8KZlM8iGJyhyNQ5y8CCdgwukGpyeST5Ph5Pnnn893KK0XAg0QSCTBpU2Co8eLzRHHGjwhJ0yYYLa2zz77zDJhMKhktEB89IhJv4VxX6W2ECBR+I033miDnOLhmmQJDuQJBUBqxanGC9IrHVUSDjBuHF7RnTt3tmF1vI7mQqApBERwTSFU49vdWxLX8uuuu84+Eqi1kNz4MFAgfD4WFAz37dq1s8zu0cTKtlE/LY4Aia8hOJwscJ/HASPpBIdtjecXp5N4IY0cWGCLY4Rwkn4TQqAiBApBILFxcAy9kfQ4OD6AeEsyWClDjmBL42PABwD1jseKEBZAdnqIj7HGDjvssMw2r6N5bcQUoZJjjD46K9jjaBccLJIUB5frWSP58rzzzmuDn5JgAAcUnKLAgAlVLR6VOEQxvhyhLbmOo3W18RzXSjskVoJDBZfkODhUi8cdd5zFCB1//PEmsTGW29y5c0M8Awk2NtSUfEAgN5XaRQBbFPlCycfoGfWTlMkkH/IQ1rbbbhu6d+9ujlBejw8lnqRk3iE/54EHHmiB71F1ptfVXAjEERDBxRGpg//Y3AiARXJD5UgYAORGsDZxRG+88UbWXfAxgPDlLZkFS03+geDIRel5QsnsQcckaYHeucAnPIDndL/99rPNYIDXL96UFDxLWccYhoQXqAiBphBILMF16tQpsRLc0KFDTVVz0003mZcZKbdQ8US9Jen9I8HutddeoXXr1uYtyQdEpbYRcIKjLQnYR0rno58GgkNaw2OSXKioKKPPMypK1O+QHImYSWJAblUVIdAYAokkOBwqsGHwwiSpoJZcc801w4477mi5JbFJ4ExCWiOKq7RY5uOAWpKPI+m35C1ZH08CBIc37Lnnnht69eplDkKMcp0GgqOF6KzhSDJo0CAbEy/aagTB84yDDZ7AxHCqCIHGEEgkwTFIJHFgSSI4HEpOOOEEC4pF5Ygzwr333hvwunv99dez2hgXa2wWkNuxxx5rmSGyKuhPzSJAUDOpuvCkxDGIknQvynhjnHTSSWHzzTcPqOKjnTaec4bVQWXJ6N/9+vWz8AFpJuII6r8jkEiCw8kC9V1SnEyQvnr37m0ekxD3+eefby//1Vdf7e2YNWc4HBwT8CRVqS8ECNjHi9LHguPq00ZwJARfd911LeaNzlq0vP/++6a14B3ApkwnDruzihDIhUAiCQ4VJb3AJBAcmR7oqaK2weEAV39Uj/Rs496SNDAOJ2SG0DhauR73+ljHmHx4DGJzSnomk3wtgiSLcw02ZArPumtkwAXnExyskHQHDhyY2ZbveFqfTgQSSXAENtOzSwLBkauPFxhiI5sDKkkcSijMUdl44OvTTz9tvX+GW1GpXwR22WUXG6OPDg0lbRKctxzB33TucLbBS5hQAgrPPUPpsB6NxsILL2yxcr6f5kLAERDBORI1OEcKY7BLPnAEcmNzw8DuWUm4ZHq23333nSWrJbfkyJEjjfRq8HZ0SQUggJ0JN3kkdCQVSloJDqcSgtwvueSSBsjReYXkGLwXItxkk01S44jTAAytyItAIgmOHIwMklivEhwJZY888kgjN3qrDFaKTYYEvAxxEzeqo5bEowxyk7dk3me9LjZ4mABu8ml1Mok2FEmW6eRRyObiQ+bQAUBlefvtt5tNetFFF7V5dF8tC4FEEhw5Fut1RG8IilGcCWQl1OHmm2+2TOu8yBQM8E5wGOBRY5G+6Oijj86s12Ndvwh4mMDUqVMzHoRkNklLmEC85TA30Hnbc889LXWXqympRweW/JRIuIwZR2wcYQYqQsARSCTBocLD67DeJDhSEuEcs/TSS5ttgYwN9FTxrGMeL3hL0ruFzFWSgYBLcHgGum01Dam6Gms97Gxrr722SXAvvfSS2Se9PoQ3ZcoUGzeOeEFUlipCwBFILMHxUtQTwaFuIc6NYW/I5oBTCam3Lr744kzqrej9PPfcc+Ytecghh3hbap4ABJzgcKqgU4Mkl5ZUXfmaj+eeMfIgOXKt8q74u0AnAJLDXrnddtuZk5Vvy3c8rU8PAokkOJqPB97diuuhOfGWxPMTZ5LTTz89IJ3xkfvoo48yl8/HjoK3JLkolVsyA01iFiA4ho0hnyhOFDgVkZsyrSpKb1jeZ1LOMd4howz4u8B2llHRM4beOuusE3r27FlX777fo+blRyCRBIchGgmuXgiODP8MY4O0dsstt9iHjaSypNt64oknslqdoUMIBMaVHHWNSrIQwImIgT2ZyNaBnTWtXpTxlt1+++0DI9bH1fW8I4x+TqeQd4mOoqt348fQ/3QhkEiCw1GjHnJRYitcf/31zYYGIXPN5JWkt+qZLMjc4IWgb0Y+3nXXXS00wNdrnhwEPJMJrvGknKOI4H5pXzp9eEtipybQGw0HhXcEmyUSL0NH7bvvvmH33XeXR/EvsKX6N5EDnn744YfWi/PsB0hyxUyzZ88OQ4YMKWqfYo5PXUiYFxXC4mOGeoU4N2xrH3/8cYNzc084kxA+QBhBsedT/eKegZbEa6uttjLvWDwImcaPH5/4AU8LxXvChAmWcDzXO0DHEOmODCdIcUh1hR5X9ern/SimrRIpwZWayeSAAw4Ia621VsV6PnhLnnzyyeZQguRGrNvo0aNNckNF5WpJRgrABgfhkr6JcACV5COAyzspuvhA0+GRBPdrm2OLxM42ePBgU9/+uiWYWQLVJO8TYQXEwr799tvRKlpOGQKJJDjsFt26dct4WhXTppAJUhXejI899lgxuxZcl4Bsjk+qIdJv8VISu+eFnqgXeqrt2rVTKIADkoI52Tuuv/56Syo8Y8YMEVyszSH8xRZbzN6d2CazYY8ZM8Y8kalzxhlnxKvof4oQSCTB4WTSnAFP6THjwUhgKY4c2LzKXdq3b29D3jCMDeTG0B+MbUWWEoK444XgVe4FsVwl+QiQwYSR2l3dRrtLgstud6Q4QgaIdaVz6CMOgBl4YZujY0AeS96ft956K/sA+pcaBBJpg+Mhx4W+WBscHxYkJgJH0eFfeeWVZdXhEwpAzjx653jIkTh58uTJ5kzw008/Zc7FMqEAvJwMbprLJsc9akoeBuRfxFMQhwo8ZlFV7r333rLBxZ53nEp4R+kYQnK8Czie4HmMah9bHCMSoM5kbDm9K8l7Vwpp00RKcHifIYUVGvCJTQznjQEDBgSW6f3x8hCTVo5CrxyJDRsatjY8vSBR7Cs4llCwG5JDk4J3JWpSksiixlRJDwLEwXXo0MGeQU87lfZMJrlan3R1ED9p7dB8gBUT69GKIM2NGzfO8rMutNBCljQh13G0LtkIJJLginUyQWqDECEcihMcqsNSi+eWROV58MEHhyuuuCJgI+AFjMax4SWJHQ4bIBkZGPDRE8uWeg3av34QgOCwwZHJBimEhMukY0t7oHeuFkTapSOKSpJEzGg6KLxXOGdddNFFJgmTyxOpOJo0IdfxtC55CKSe4PhwbLDBBqYK4gVhYkBRXpwll1yypBanN0naLYaxQXJjGWLjw4VaxQv/KUhwBHAzYKlKOhHwVF08gzyLSPs8PyK4hs8DKirsbB07dgzx0e15z/bff3/zpCQFXo8ePQLjJKrT2BDHJK9JPcEhTUFmuaZSCc69JbEJkGXhrrvuMiLFddmlRX+43FuSjCYq6UXACY4hkrp06WL2JDmZ5H8eUOHTASAxuRfCBPx9RiNCwRGla9euZgNnhA6VdCCQaoJjrCmM0Dh1xCecO5pLcDiIEKfDS8ZHihGH8ZjkZcQoTp7BqH0QZwICyxkih0wWKulFgOcCFSWZ8XGSoojgGn8errnmGktIvddee1mKM5JTH3HEEea8RWeSDiaxpeAJybEdu6ZnC2r86NpazwikluBwHd50001NZZirAcleXijBYfO74IILLF6NmLUlllgi9OrVy4zdZCgZOHCgpQ5CBQmRUmbNmmVzJDnsf9jdOI6KEIDgkDIYqR07kwiu8WcC6YzA7sUXXzxsu+22Zo/j/SLsh84kOGIGICaOd5FMJ8yxc7NdJbkIpJbgiC0bOnRo3paF4OjlFeJJSQ+STOdkfkdqI6ckKkcIDcM2XpSsx8kEN2bKnDlzbFwr8uatsMIK1svMezHakCoEyFpDx4ePL8kGRHBNNz8hN7xjeFVSeL9ee+01W4bYDjzwwLDFFluYZuX11183mybhAyeeeGLTB1eNukUgVQSH9ATZIF0tuOCClpQ13oP7/PPPrbeHoweSGB5YeGjlK4y0DUEx0CLjUjFYKaoS1JSEK7zzzjtGctjfCBM49NBDLQyABLHklqTnWYmA8nzXq/W1jwAfYuxIfIiZRHBNtxkdSSTfsWPH2vA5OKCgmsS5CzxJv0dcK+87mL7yyivh1ltvtXfcvS+bPkv+GrzPfFt8QkMEyUYzFOXfW1sqhUCqCA7pCYksOkFQ0cLDz3bGncJexvIjjzwSrZJZZhwqDNwkgOUF44VCLYKqhJ4kjiXE5PDQUzgW9ZEO+/fvb6pJ2dwycGohBHuGeHZQqbl3rQiusEcDT0nU/ZQ77rjD0vWRrosYVMaQoxBjimYF+xtkR+IF7OMQYnMKTiyQJ+YO3mnecRI6MKYfDmNod1RaDoFEEhw6eTKyRx05yg0xmSZQYaLHj7pwQ2oQIvY7wgLIpkAs3PTp0+0SyFyCKkUjcZe7RZJxPPei5G54digiuMLallEXcOhC7cg7RogFcYReIDWIiCF32B6d3DbudQuZ44GN9gZCixc6x5CcSssikEiCw1kD8qkEwRFvs8ACC9jxeUEIwuX/brvtZipPXhR6g3ht8fBTHxWkv0BkTMFbEhWmihCIIwDB4eVHhht/Zni+op2o+D76/wsCjMLAO4lKEvwwN1BQQbKOb8Lw4cNNqsLGyTvI+IvsA8YMNlxoYV86sZCoe7tG9+XbM2LEiOgqLbcAAokjONQPeJ4xmgAPrDt1lIot+vQtt9zSvLTIWYn7cXQ6+uij7cOEuoIgXQqSHBIeKkleOK4L5Y7BAQAAIABJREFUFQqqTRUhkAsBCI6PMemnPBkAH2YRXC60stehokQ6wzEHAsJcgAmAbwFOZcQW0vnkvXXbGOTE/xtuuMHs58ybKnRYyUyEnd4dWXLtM3HixFyrta6KCCSO4LChkbHA1Q/REbGbiysfF46JERubWrRge/Mkrw899JA5jqCywIDtDiukCWL8N6Q3XjZlU4giqOUoAq6ixP6GjQjnJZ5lEVwUpdzLYOYEh3MXBQkNtaWre6mDRAeedDghQzoTEN+uu+5qWhfSpOUrngOTNkENqVLbCCSO4IAbCYsHkLRXxMCUWiAnXhycSPCUhNR4YUgHhKqD3iDrKOeff7717lBP8BJBsLxEjAyA6omXSEUI5EPACQ677U033WT5FHfeeWcRXD7AIuvpUNKBJHkDZgreTxy+sM2h7sWrmULHgTg5QnkgPIjOzRnEo+6+++6Ro2Yv8q7zbcHDWp2ObGxq8V8iCY74Nh7Co446qmTMUTdiZ5s0aVKYO3euqTNQPSK1QXJ33nmnkRy9OSdThsKBzKhHb5E52+hJiuBKbpJEHwC1OuEk5FgkpITCsj6mhTU77yP2NEwCJDZfa621zF0fUwUejxAaZgLWEwdHR5R3mfW8oyRubtOmTQNNjZ+dY/Jt8bbx9ZrXJgKJJDh6b+UiODyy8LyKGqxxO2YoG2wlfHw4F8Pf4FnpZdVVV7WgUnqHFFyRqXfppZd6Fc2FQE4EUIVHO2fyoswJU96VjAXJu8aEp6On5IL0WOeu+2hf+E/2EyQ4f3979uxp73WuE5DAmX1EcLnQqb11iRzwlKFneAjpkaFbb+6ESmO++eazhxljMsdlKA56iEhvjB2HZIcTSdu2bU3lgToSPT1jy2F7QzXCy8Bx8KjkRWru9Wi/5rdlPWG34YYb2vOFvZfrRsVGsoF6uoeWvFbeS95/JlSR/Od6ID7eRdS/4EnnlbCd+eef3+Lm/JrJfIKHpP+PzskZy3Hxxoyu13JtvpuJlODwjMKb0fXqze1XoK7gYUY1ie0Nwhw0aJCRF8fEoQXSoldHkCeeW5Ai5yWAnGwphx12mL0sGLtLvZ7m3of2qy8EkOCQOnjuGLmaxN1SURbXhgyRg6oXBxK0L3hKonnB0YusQpgRMGXQUeUdJzAcMoT40Lpglrj44osbnJSOLvVJxk7QeL5CAnWVlkegrgiOgUjJBs7DNWzYMEuJRVosjMI+ke8REsItmDRYEAwu/GxnHl+m/kEHHZSzJeitkU6L85IJAe9HeoBIZxDWSSedFI477jhz+0fNgZrSC6MLEyLAaMLnnXeer9ZcCDSJAI4S2H7/+c9/GrHhlSuCaxK2rAorr7xyWHvttQ03Ej9gtmAAVLyhITnwxVxw6qmn2juOpgUypEBcaGXIXxnvlGKvwzSBjZ0OcK6CCpTvk0rLI1BXBAdc9L5Q3RDvBukwEZfiE701XITPOeccyzeH1EVhu5foMg8seePihZ4cLwm2ENQP/Ec6wwNrqaWWsuwFxCnxoiC9Yaej0PNGJUJBRfn73//elvUjBApBgI8mSQNwTsLxgYK9VwRXCHq/1kHKwguVApZeGDeOjitB4ZAYhAfRUYfvgtelI8wx/F32/X1OEgfMEnR+0eT4RJo1JvfY9PqatwwCibTBlUMfjroRr8dLLrnEMhXwsUF3z7FxP8Z1e5tttgnrr7++SXL0/ny7z0n0irMJNrlyXJOOUZt6/nK2C4HGEBrSmx+XtHN0sPy/5o0/B9jVeDfpbGKucCzdFsdoH7zXTNjUwdPr+Byig+AYtigX3pAhmh++ET7hIc0x6TTn2kfrGm+3SuBTdxJctfoB9O7i48HhhdVY8e0+J2CUl0Sek42hpm1RBDwOjuFfmCjKZBJFqOllnEkIAUDTQxwqzmEsewA39rFoAgjyx6KKBG86qow0gJqSjkWuPJNNX4Fq1AoCIrg8LQHBYeujuKqIeDZ0+QR8Y5xGMvPtniLMVvwvTRd6fY4jgnNUNG8KAQgOuy8aBNTrPGvYe6SibAq5X7bzfuIVyUDDbj9Diou+qyyzjvc6qpkBb95ZJsrIkSND9+7dzcGssLOrVq0hIILL0SJ8VFA7MPSFF14Ez1bCC4J3Gz1C17Wj/sD+5zY4r4sjCrY8FSFQCAIuwfG8MWQTzw9aABFcIegFG7UDvMCPwpwJswH2erwgCfr27dTBru+Ex3tL54JwH9SUhPeQh1alPhGQDS5HnBxJWfF+RJfPh4WXAf0wrsYs08PDkYX/vAyessvrRee8VIz2LRtK9fXvldDpV/qYdJB69+5tzgukjeLjiiewnp/Cnp+BAwcGPKP9ffX2ogMKhrzPbiP399nrECZA8Dd1kAQZdJYx3RgxwOtoXlg71ApOkuBydEzwrCKVDy+FD1YKaUFmFJYp/t/+hGAqEVSVFJfs8NAkj+Vpp53m1TQXAo0iALGRGZ+0UxRlMmkUrsxG3jXUu4QS8YHl/cSeRgeU4asYxQO1Je9v9H1GgnPvSQ6Gk4iHDJBbFjMDpKhSfwiI4GJtxhAbDIVBoKiXuP7e1/OSsI3QAbyqMEx7JhPUl06EeFt17txZL4kDp3mjCBDozYC4EBzaAhFco3BlNkJodCYZIofitjbUj178Xfa5v6O8rx7ozTpi5xik2Edz8KGL/Dia1wcCIrhYO+EWjM0M92G8qyg4lHhh2ddHt9ED9JcgWp86DJ2DXYBsKCpCoCkEPJMJH1mGYBLBNYXYL9vHjRtniZS9Nu8hNjfMBP7O+rsZf49nzpxpkpvvG50z7hvxcyr1h4AILtZmZBdfY401zMYWHSzVe3pU9/UMt0F2E14OHEwgRSRAet2oOHBPplAHguPYKkKgKQT22GMPU2kjiTzwwAMiuKYA+9921Lq9evWyf7yvEBsZhSi8s7ynqCiZ+zrmaF3Y7l6Xvh0bHO8yNnmyy6jUHwIiuEiboWpceumlzXsNaYuXBNJyFQc56ph4GegRMjYUqg4M0tjrsL/hhcVxPvjgA6uL6pL9UTkpfU8EbC3mRQAJjrRvODuI4PLClLUBFSOez1deeaVlFWEjnU5i3twGx3uKbY455Me7zTvu63m3/T9zLwxhhKMYWUtU6gsBEVykvcgZiaSFQdoLkhhqIsjM0/HQqyMRLhIavT+8sSA2wgvwgmMfl/LcxZjhckjvw0dLRQjkQwCpjTRSfGyJuyQgWSrKfGj9up6Qnvbt25vXKR7OkBrvoSdEhrBwMuG9pfOJ+pdt7lzCdt5vL/6OO+GtueaalqXEt2teHwiI4CLtROJVMiBAWt6b880MlsiLg5SGtIZ6kl4gLwoSG+7FqDjoNVJ4MajLfhQkOUYXQIWpIgTyIYAkgtceH2eW8eLt2LGjOkb5APvfelLmdenSxbQleEHy7uFVSceUd5HCOqQ2Jt5xVJG8l0jJvp061Mdrkm+AF1J/QXIq9YWACC7SXgR1MjoBRIVa0eeM1s2LQmHZVZS8CNRhQoJD0uOlcZUmdekh0hOnLLbYYhrR25DQTz4E+Ki2a9cukC8RpyWeJaXqyofWL+t5/9Zbbz0bxRvTAp1I3j3mxL6xnXeVDoMvM2fyd5Xt7MNE4T/FtyMRYptnH5X6QUAE97+24gFmDCg+LKgqICs+MOSVRF1BwW2YKVroAZKglXgb34Zxml5iXB1JItZ11lnHXrroMbQsBBwBMpkwAgXPIB9rtApK1eXo5J5PnDjRTAu8ux4i4DXRsvBuUpDUnKDwriQbEe9qY4XtdDrIZUm7YONTqR8ERHD/ayvi3kiuirQFaflEbA3qDCZIkIlleofUZRmC4wVgGy8Y+7KdQRVJt8R2xogimStxOtj6UKN4EDnHwI7nNj0uCdUmx8GZhZeMkcOx8XEcBZ3WzwtW7JXStjgkYS9ixAqycowaNapBZ6nY49Z6fYad2m+//ez55hnPNZGtn/EXyRHJMoMNM7QQAw5jO0f7MmjQIBvOiiGtGKMRyY5lJrIT+XK0nq/LN+edZQxIclwyNBbLyy67rJ2L4/jE/n5cn8ePybuuUj0EEkNwSEvoyZGQmjO1adPGXpLlllsuRCceZDwr4xP1GW0g13rfn5eOlwK7HstkR+E/HlmrrbZaWH755e1aOQajD5MWiGWun2BzjrPJJpuYc8rqq68e8K7jOK4urd5jojNVE4F9993XPqRoAShpcDKBOHg/SHBe7ES+TkY9ZwRu35fxIPv162fr2MZ/hq8ins3XQ6isHzNmjNVjf58gzrFjx9p/Oq/UY0Ki5hzUI4UXg6Lyv0+fPoE4PJYhYeoyth/16NBeccUV9t7T2VWpHgKJITicPvBSRAoj3oxRe0855ZSs6dxzz81aj0qDuq56jM/zbUMSQ5UUr5/vP9JZvm1NrWdfVKWoWpDoRHDVezla6kx0ZC644AILQcHjLy0ExzA3zSnY2RoreKK6ZzRaEuzkvo/P3ebm/6PHYxuxrO5AFt3GMqMQuDemb3PHM/67xzUDpCJ9qlQPgcQQHF5nSEGodrBdMPFg+TJzPhaoBllGCuKBZYKsWO/LOIz4vsxZz4vBCMH8J8+ku3DzvznTZZddVvB+Xpd7hOBQbfo5uS6VZCFAWjdirvhw0nFL2ojedCxR80UnBgbec889s9ZFtze2jOTX2Pbotg4dOpi05evi+8b/ez20QwR7+//onOBy2iy6Lrp81FFHhSOOOMLUowSjs80zqyTrya29u6lrgoOUkNR8Qq1HolUeROaQAa7DPqGDR+XHf1x+SarsU6dOncwdm+2oJX1f5vSo0cOzn6/fYostbCgN/hc64SzAFK/v6+Pbouujy+zv/yF1lWQhwGgCbu9NYqA3g4jy/G666aampud+sZ/xDhIiwX9/vqNz1kNAW2+9tb23/Ge8NvZlGe9T3l/fh3ebuuxDnfHjx9vEiAPU94n6LEfniyyyiNnwUGtyDPZl7svYAE8++eTMus022yyzP8fiHv18qC5ZRvXs5+nZs2eyHtoavZu6JjjUBrwUxx57rE3ouV2C4wOBLty3FTJHZ85USF3qkMWE8zGRzod19Mz4jw6e/6hFGXaHZY5N6iDfh/m0adNsPduQ0Hwbx/HrQd1BwZsTN2bq4NnF9rPOOqtGHy1dVnMRoEN1/fXXm0qaYyRZRYm3KPGlpWQJKXRfdxDD0QNtTjHFz4FU7WE/hezPfnhiEzurUn0E6prggAt1oxdG8eUhxhAcL+jRXQ/PHNLwPHXUxVORfQn0LLRwzOhxm9oPt2RImeLXkmsfiIzM5l5QmfKf6yOWp7F9fR/N6xcBMpnQWcOuk0QJLtoyeAvTyaPjFn+u+c/75YX/OJPhnUzB5Z/OHt8AV9l7XebUZ3IbHPUI/2FCzQ9RES7gxev7f+b+jrMvKb3Yh+QO8QKBkRbMvwd8X3hf+a4gBbIc/d7E99f/yiCQiAFPyViAezUPOQ8YRMKDzwvAf/LPoSbgIWOZetjgeCB50FnnE/WxsUEqvi/H44Nzww03ZOqRjZzjsb8fA2KiR+ohA2zHMYRj04vjvP6fZY7Ltuh5SB/EywGRsZ2Xipca6Y4XEy8serx+vZr/2nZJwIKxyVDT8ez488FwSzg/JOH+ct0DjlbcLzkf2e7vg7/P0f90EJkwT6DBoD71mFjvdZmzDjIER74PvEO+ju1IY6TSoxPBf0J88FxlGRLjunDyop6v83bg/eSaeRfZhkYFezjn4hx+HwSK+3rqsZ6OC+8xy5oqi0HdS3DwvhMcyzxEPGQUHjSIjMwjrPP11GE9ZIKqApUFPS3PWuAEZwcJIZDnjhg0iAvVIcel8JBDbhAfx3SC8/2oF81kwnqugbq+zPk5r18318r9cC5igXhxuFYKdSA/VKN+DNugn8QggMMTDgs8WzxzlKRnMuGdQAKiU0nhveH55v30Z5+OHu8X2+jwEWcKOfCfycnNDhCRvDgOsay8ZxAcxd99trGvFyQ9iDNanOCoB+lBcHRuuRYKx/BzIInSkeY/Eh/OaSxTuEc61LzbKtVDIBEEB1z+IPHx90TH9LAgBB9d2+sgCaEaQWXAi0HhgeSFoQ5qCx5GtkNonsKHF8TVGF7fm4qXk/PxkPvLRl1eBF5U6nsWBfbx8/LycT3+cvu+nJ+Xnv+8ZNSLFr+X6Dot1z8Ct99+u2XFx27LM0r7k2GHj3rSCu+pEwXkQWcRqYn3gcL7BwZIauR6RZLineIdpz4TdekgghtSGu8FmPEuMyeLCR0F3h/sYWznmwCZUd/NGb4f+zD5+8Uy7ybHgGR9KB2241XthXr+TWAZqQ3pzgvfAL9XX6d55RFIDME5VDyEvAwUNwyzjMoyXlhHHeb+ongdXi5Ixgv1oseD9PyBjR/b60GI1OMlpUcOYXldr8PxWcc1U9/XQ6x8APy/X4fmyUYANRnu8jwTTHyA8e5LIsHxfsXjx7x1uXfCY9wWzXsAgbCedWwjPhTtC0THu4PaD8mOjiYEl+vd4T1HsqLTCNFFC/V98vX8v/TSS02jgjbFC+/zHXfcYdfDOuqxDvJl2QvXS+Gai7Hv+/6al4ZAImxwPMz5Jj4YfByIRaHXRT2fs4z3I3YxiIieIA8iHmzkt2M9Dy1ERl3sa8Ql+f5sQzpkm/fyUC3S4+QlQx0RP1/0OngZeCnvvPPOzEtJfdZzbJZ9cnuD/9f8V2yShgXPyIUXXhh23313a39czN32k7R79fvh4w/5+H/m2Md4j+LPPtIR5IY05/Wp4+9ltD7LvJu8t17X50hxECT/2Zcpuq/Xwzbo9ZDE6HzyXYEovQ7SIA4ovj/thSbIt2veMu9r4iS4fHxPyhzyQkaLZwfhAUb3zkNIQbWAzpyHGXUDhmd6b9HeJlKZ2+yQGn3cN+pznNNOO61B4leO7Q4okCcqS+pTOD/HdwcSiA81lRdedJV0IIANjpgpnj9KksME4i2KJsPd8CGJaHJjJC7sZ3QAkeZ4d1xCitrO/F2eMGGCSWrUB0tIic4kc47NnIkCuUKyfhzIzguaFLQv0XVIjXR8fZ2/y9hQKdTnm+D34sfSvLoIJJrgLrroItOzAykPKaRCcTWFQw3RRQsvDr0zL/QA6TVChF4wOjPqMgWpD3ULHyUvSI3FqpV4aVyN4c4n0eP5subJRoA4OAbO5SOJFoCEy8U+S/WKEM896kMv0fvGbMB7zPuJ9OUFSY4OIJ3SaEG74p0E1nMs78TyH9Ujk0pyEUg0waGXxzCdr+D6zwvlSW2pd/rpp2eksXz7xdezP+TkUlx8u/4LgWIQgODwoEXaR2ohoW/0Q1/MsZJWl3cNQisHHnwb3EszaTjpfn5BIPE2uMZ03+jxmRqr09Q2eo7Y5pqqp+0to4OvR9w33HBDU70hsRCjlQYbXEu0ExodRg1oiXPrnNX5HiRagqtGL2bllVfOuA5X43w6R/IR8FRd2G/oQKXJBlfN1sXet8cee1TzlDpXlREQwZUIuAiuRAC1ewMESMiLFy2efzgviOAaQFSWFRBc1ImlLAfVQWoKARFcic0hgisRQO2ehQCeswzpgjctNjgKo0KXw+aUdSL9sdjT9u3bC4kEIyCCK7FxRXAlAqjdsxAgHIWhnnBxd6elpKfqygKgin+Q4EaNGlXFM+pU1UZABFci4iK4EgHU7lkIOMHhAfznP//ZEg4kNZNJ1o23wB8IbquttmqBM+uU1UJABFci0iK4EgHU7lkIkP1iu+22M+eSESNGWA5FUndJRZkFU1n+QHDDhg0ry7F0kNpEQARXYruI4EoEULs3QKBPnz6BEaI9wTZOJnKGaABTySsguL59+5Z8HB2gdhEQwZXYNiK4EgHU7g0QIEzAU1CxEYLzFFANKmtFsxGA4Hbeeedm768dax8BEVyJbSSCKxFA7d4AAVSU1113naWZI3MHBMfHWKW8CIApgd4qyUVABFdi24rgSgRQuzdAYMiQITYUCyED5DxVHFwDiMqyQgRXFhhr+iAiuBKbRwRXIoDavQECqCjPOussIzdSdY0cOVJOJg1QKn0FBDd69OjSD6Qj1CwCIrgSm0YEVyKA2r0BAhtvvHGYNGlSGDdunG3r16+fCK4BSqWvgOBIZK2SXAREcCW2rQiuRAC1exYCeE4OGDAg3HvvvZn122+/vQgug0b5FiC4/v37l++AOlLNISCCK7FJRHAlAqjdsxDAW3KbbbaxODgfTFOZTLIgKtsfCO6yyy4r2/F0oNpDQARXYpuI4EoEULtnIUAmE2LgGNGd4Vz4CLdq1UoSXBZK5fkDtquvvnp5Dqaj1CQCIrgSm0UEVyKA2j0LAUaPR4K7++67wyGHHBKuvfbasOqqq2YSL2dV1p+SEIDg/u///q+kY2jn2kYg1QOelmPQwZVWWik8+uijGjTxv9UZwLAcbVbLx3jqqafCLrvsEmbNmhVuvvlme64Y8BTVZS1fdz1emwY8Tf47KwmuxA6IJLgSAdTuDRAgTGD48OGBIG8KcXCDBg1qUE8rSkNANrjS8KuHvUVwJbaSCK5EALV7AwQguL/+9a/hvvvus20QHKpKlfIiAMHJi7K8mNba0URwJbaICK5EALV7AwR69uxpyZXJdE+g9/333x8++OCDBvW0ojQEIDil6ioNw1rfWza4Em1HssElX49fbfvSUUcdZWEChx56aHj11VfDNddcYwRX7etI+vmwwR199NGybZb4Dazl50QSXIldEElwJQKo3RsgQIZ7SK1z587hscceUy7KBgiVZwUS3Mknn1yeg+koNYmACK7EZhHBlQigds9C4Kuvvgo77LBDmDZtWlhvvfXM0YSPsAY8zYKpLH+koiwLjDV9EBFcic0jgisRQO2ehcDLL78c9t5770A8HLY4ijKZZEFUtj8QHJKySnIREMGV2LYiuBIB1O5ZCPDR3XzzzcMrr7xi9iE2iuCyICrbH7Am76dKchEQwZXYtgx5P3PmzBKPot2FwC8IkDSgQ4cO5mRy2mmnha5du5otTirK8j8hEJziC8uPay0dUQRXYmtssskmIrgSMdTuvyLw7rvvhqFDh4YpU6aE9u3bh3/961+BTCbY5FTKiwAEd+6555b3oDpaTSEggiuxOcgXKAmuRBC1ewaBDz/8MNBpOuOMM8Kaa65p6wn03muvvTJ1tFAeBCC4UaNGledgOkpNIiCCK7FZNthgAxFciRhq92wEyGTCUDkEelMgOF/Orln+f5999lnBB/3+++/DN998U3D9WqsIwR1++OG1dlm6njIiIIIrEcyBAwcmnuB+/vnncMQRR4TPP/+8UbQI+LzhhhvCkUceaQ4SBCy/+eab4T//+U+j+2ljNgLY4FBLLrPMMrYBgqvkuGW0D0meaeOOHTvanOWmyOv44483T0/qxqfZs2dn31QN/oPgrrzyyhq8Ml1SuRAQwZWI5H777Zdogvv6669Dly5dwjzzzBPef//9RtGaMGGCffAefPBBq8dHbrnllgt33XVXo/tpYzYCZNcgTGC77bazDRBcJZ1MLrroImvfffbZJxx00EG2THs3JjXi5YkHMfVyTbfeemv2TdXgPwhujz32qMEr0yWVCwERXIlIrr322okmOGxC/gFrjOAeeuihMP/88zeIK0Ii2HjjjUtEOV27k8nk+eefN2eTZ555xlSUlZTgttxySwtL+PHHHwPS+ltvvWVtvuCCC5oEngv9E0880TouH3/8cYhOSPBIoKgva71AcAcffHCtX6aurwQERHAlgMeuSXYyYbiWyZMnB6RUSK4xgps+fbrViQfOQnB0AlQKRwCCmzp1alhllVVMkqukBMeoBZdccknWxUFySG+0+euvv561zf+gQkW6j5etttoqTJo0Kb66Jv9DcAoTqMmmKdtFieBKhDKpBPfFF1/YaMeQ2jHHHNMkwf373/8OnTp1MmnNM9+zDo/AOOk55N99953ZfrD/8JHlgwOZ/uEPf8jYnFDVXXfddbbu+uuvN2nB90/iHMzIZAIma6yxht1iJQkuH4aMdN2mTZswZ86cfFUarEeSW3HFFQPSfK4CIXJfjz/+uLXnP/7xj7Dnnnva8q677mohETw7SKs8A0wTJ07Mdaii1uVT7/K8jRw5sqhjqXJ9ISCCK7G9TjjhhJwqSlR7vPD1WujZnnPOOXb5hRAcFW+66abQunXrsOGGG9oI1AxF0tg4ZmTKx0aHpMDHnJGsGbm6W7duYb755rMsE7169TJb1KabbhpQmY0ZM6ZeIc153e+880448MADw9y5cwOdCpxySNHFRx5bHIVOAh9p1H7Ug/CwlSFpVaJ8++23lgezMRtcrvNefvnlpp4kdi9X+eSTTwL2voUXXtjavHfv3tbexKIttNBC5uCCupTj8Byss846oW3btrkOVdS6/fff356lG2+80fD79NNPbX8ITsPlFAVl3VUWwZXYZKhjyD6BJxrTPffcE/AeXHzxxcMWW2yRWe/ba3GO92O0PPHEE4EPDbYYSqEER93bbrst7LjjjkZSxHHxAW+s8LGB4DgfH3gK+RhZt/322wfsQl4gwMUWW8z/NphzHwRIF4oxA4oiVTBsyowZM8KsWbMy+3McPoCQMMt+XObYx6jvE+pEr4PEw3qeAdS2LENObOejzX+vy/yqq66yDzv3i62S/ZBq2AaJ8R8iOOCAAwJZc6jHdNZZZ1kdJCI/H3MCwv34XDv3wH8wic5Z5tm99957bbiYKJi0A+co1jmIzgjX2lQ57LDD7PhIq14YeLRVq1bh4Ycf9lVG5IsssohldWHlKaecYniASb4JDBhDj+0sM3Gf3M9OO+0U5p133rDWWmvZ9n333TcgOaokFwERXAlty8flt7/9rdlK6G3yEvGhJrZm1VVXDYQQ0PtmIr8gkkl8Yr3XoT7bt91223Dsscfaeuasxy6D+/1mm21m26LbWcbTkfHD4uv539TEhzBaBg8eHHBu8FIoweE5R+Z7P9+iiy5q2Tjy2XE4vhMc1+4FCYD4QrAshuAgLD93Pc1GZLsEAAAZi0lEQVR5dpDaSMuFatDbmOeCD/Rxxx0X+NDzgUayZpQB2rtc9/jDDz849NYeHLs5mVPo1OFd2VTJR3BI7dHC+8U7hb2PQuqy5twztkzw492iE8ExkJAlwUXRTuayBjwtYbA/4oSIo0FqQyWJ+gW1ztZbb2290QsvvDB8+eWXNjEMCtJCfGK91+FjznaOizTCeuasx17FMvWZR7ezzH700uPrvW6hc+6BD+vVV19t9g9sIEhkfGgIA+DDl+tY2F2WXXZZs7/4duoutdRSZpvzdfE5vXiOPXz48MxxX3vtNVNZIQFz774PJA9p+v8kzCF4bE246PMs0Y79+vUzNR1qWT7CL7zwQrjjjjvsGRs9erSRHO7t3t7lxIHnF2mx2GOOGzfO1MzYbJval84MbY7K0utyzySV9v/Mn3zySavHsaPri10GM+6Ld9TfKY6B5E6oQ7HHU/36GeRYElyJHReklniqLmxvSEDnnXdeiUev/u7cDy+9Tz169MjEOy2//PKhT58+OS/q4osvDuuuu26DbajlsJ3xgc5VcklwkB4fd6SVqJ2pKRVlruPX+jrsXRBYtJDJhA4GLuwMeIqjTTTjxk8//WTPFx/acpabb745oCosttBGtBXEWEhprgRXyLGLqUPnYemlly5mF9WtMwREcCU2WC6CK/GQLb47NjCfuBhXUf7tb3+z9bkuEBVbLoJDxVYswSHFIDUWa4PLdV31uA6Cwzt3yJAhRnTcgzucVOp+sFPtvvvu5skYPQc2OhxfKDi45CpoHJDI8I4spOQjOCS4aChKXEVZyLGLqSOCKwat+qwrgiux3ZJIcHFInOCiHx9sGKjVkNAorqK8++67s3a/8847TUWZtTLyJ5cEx3lWW221LILDTsRI1405mUQOW9eLEByOK6jVIHti1fJJwOW4UY6NjQqnEtR4TIRkQHq0MYV12Ar5j9QZLTjK4BnpTkLRbbmW8xEcTibREINqEBySp0pyERDBldi2vCBxFWWJh6y53XMRnHumYbT3HJXYHHH3jjoC4ESTz8kEZxL/2JH9giwYb7zxRsCtG4mAacSIEQHJkWz6/CdbCscnAD2pBfsaqkmcTni2CAvwjkQl7pnQDsc7Poe8KLShb8OOFS1ImzgXNVXwMKXtCP7nWNjiUMVeeumlNnIC61BN33LLLWHs2LGm9mQdNu1iPTqbuha2S4IrBKX6riOCK7H9+NAnneCw9aBqjPbQWUfGez5ArrpiHY4PSB+4aSMF8D9foT4SHnWiDhP+3+d+XP/vdfMdt97Xo44EW4gDoqt0oHcU1/gy2FO8DU499VSLd4xiTBt6vej6+LIfI36O+P9c9Qo5fvx8Tf2H4CTBNYVSfW8XwZXYfmlQUeaDiLixSgYc5ztv0td37tzZMru0a9fOvGYrTXCF4omtDYk8rqIsdP9aqycJrtZapPzXI4IrEdO0EhyejrjxF5PKqUSoU7M7mU1IY0XaMgrpr/Klm6oWKHgGE4fZWGaaal1Luc6D84yrYMt1TB2nthBQHFwJcXCoTfAyIySA5TRNpI3CXpame67WvSIV45FIsmtyM+J88e677wrrlL1j1XreknweSXC11eHQ1QiBgBclCarxSCX3JsHthWQIEXRCQAhkIyCCy8ZD/4RAiyMAwaEKxHuQgg0OL1IVISAEikNABFccXqotBCqKwBVXXGE5E3GnJ3kx6cnIHiOCqyjsOnhCERDBJbRhdVv1hwA2NxxLcNyJT8QDqggBIVAcAiK44vBSbSFQMQRwKCEXZDyQmhOSkBlHExUhIAQKR0AEVzhWqikEKo4AY8F5ZpjoyURwUTS0LAQKQ0AEVxhOqiUEqoJAvqTKpDRjFAEVISAECkdABFc4VqopBCqOwDbbbJNJfRY9Wdu2bQPJh1WEgBAoHAEFeit4VAHENfQM4ExCbsZ48G2+9fF6+p+uhAtq78bbWxJc4Z0B1RQCFUege/fuOdNyyQZXceh1ggQiIIJLYKPqluoXgXw2OBFc/baprrzlEBDBtRz2OrMQaICAJLgGkGiFEGg2AiK4ZkOnHYVA+RE4/PDDw88//9zgwF26dAnvvPNOg/VaIQSEQH4ERHD5sdEWIVB1BLbbbrvw/vvvNzhvvvUNKmqFEBACGQREcBkotCAEWh6B3r17h48++qjBhTAm3OzZsxus1wohIATyIyCCy4+NtgiBqiPAYKeMtRcvjPL9+uuvx1frvxAQAo0goDi4GoqBUkxL4zEtacDHnUzi97rBBhuEl19+uUF8XLye/usZ0jPw6zMgCa4R9tcmIVBtBAgT+Mtf/tLgtKuvvnp47rnnGqzXCiEgBPIjIILLj422CIGqI5AvDq5r167yoqx6a+iE9Y6ACK7eW1DXnygE8Ja8/vrrG9xTjx49cuaobFBRK4SAEMggIILLQKEFIdDyCBAH98033zS4kJVWWklelA1Q0Qoh0DgCIrjG8dFWIVBVBPr16xeGDh1q05QpU4JPgwYNCt99911Vr0UnEwL1joAIrt5bUNefKAQeffTRsNpqq4W+ffsGQgNGjRoVDj300LDXXnsl6j51M0KgGgiI4KqBss4hBIpAYKONNgrrrrtuZo8//vGPIrgMGloQAoUjoDg4xcEptqqGngGCvIl5O+mkk8KPP/5obTN+/PiA6jLXOHGKefo15klYCIv4MyAJrvDOgGoKgYoicOaZZ4ZFF100zDPPPIFwgXvuucfO949//MPWH3LIIeG1116r6DXo4EIgSQiI4JLUmrqXukTg22+/DX369DFie+mll8J6660XJk+eHGbOnGn3Q4D3sGHDwo477hjat28fXnnllbq8T120EKg2AiK4aiOu8wmBGAIzZswwcnvhhRfCTz/9ZGR28803hwcffNBqYoMjfODrr78O5KqE5CTJxUDUXyGQAwERXA5QtEoIVAsBEigvt9xyRlzYD6ZNmxZ22WWXMGfOnAyJQXD777+/ERz1l1566XD22WdX6xJ1HiFQtwiI4Oq26XThSUDgoYceCosvvnh48cUX7XZ22GGHQFA3EpznpITgNtxww/DAAw9YnSOOOMIcUZD2VISAEMiPgAguPzbaIgQqjgCpuQjspuAliTQHwUF4X3zxhZEaBLfzzjuHbt26WZ1PPvnEVJoK/K548+gEdY6ACK7OG1CXX98IQHD77ruv3cS4cePCOuusYzFvH3zwQXjyySdt/d///veApAf53X333cEJDklORQgIgfwIiODyY6MtQqCiCOBcMv/884dLLrnEzgPBbbbZZuGGG24It912m+WeRC259dZbh88//zx06NDBCA5JD6cTEVxFm0cHTwACIrgENKJuoT4RuO+++yy+7f7777cbuP32243gzj//fHMigdiGDx8e3n333XDXXXeFtm3bhscff9zqnnDCCWGppZYK77//fn3evK5aCFQBARFcFUDWKYRALgR22223sP7662c2vffee6Fjx45hwIABZn8jbGD69OnhqaeeCptvvnkYOHBgpi5hAq1atTJvy8xKLQgBIZCFgAguCw79EQLVQ4CUXFtssUXGWxIie/PNNy3Qu3v37kZ0kN28884bsNX9+9//trruXTnffPOF559/vnoXrDMJgTpDQARXZw2my00GAsS8Ib399a9/zeQChbhY//bbbwfscagomTPhZIKqkkIdCgTXv39/W9aPEBACDREQwTXERGuEQMURYNRuck4yFM6XX36ZyVoyderU8NZbb4U33ngj7zVQh3LeeeeJ4PKipA1CIAQRnJ4CIdACCEBwXbt2DYweEC1PPPFE+OGHH2z9V199ZXFwSHaoL5HgWGafZ5991ghuwQUX1EjfUQC1LAQiCIjgImBoUQhUCwHGfOvRo4cRFhIcIQOQ19y5cy2ZMnko8ZgksTJhAZSXX37Z5mQw+de//hU++uijsOyyywZIUUUICIGGCIjgGmKiNUKg4ggQtL3PPvsERhL49NNP7XwQlk+QnpPd3/72N4uDg+AIAH/ssccsHu7nn38Ov/vd74wYK37BOoEQqEMENOBpDQ12ifOApuRjwKgAyyyzTGCcN8ht9uzZJsHhEekTIQNIZjwPkB0qSuxyqCfdGYX1jBtHCi89N8l/btTGxbexJLg67JXokusbgbFjx1pWkkmTJmXdiDuPsJJl/4/6koJ3JaMJQJBkOGE9SZnxtlQRAkKgIQIiuIaYaI0QqBgC9MJ79eoV9t5774DqETWk29CwuyGpIb15b50LQWIj+fKHH35o1+Xb2H/WrFmWo9LJsGIXrgMLgTpEQARXh42mS65fBCAnwgPGjx9v2UogNHcyYfQA/lNIwYWTCQSGkwm2OjKbQIIkX0aVSX0nuFGjRtUvKLpyIVAhBGSDk90rIy24ZKB58br+QjDDfkaCZAgOAnv11VfN9Z85+yOpeSgA/1nv0hzbyGTy8ccf26jfOJv4fuSpbNeuXRgzZozaUu+znoHIMyAJrkI9Bx1WCEQRIHj7mGOOMXXiPffcY84iqB1d/UhdSIuJ+DekOrZDXnhLUo9hcggPYJni+5OXkmwnOK5MmDAhE1YQPb+WhUAaERDBpbHVdc9VQQC1IqQ0cuTIsOKKKxoBzZw5MzBqADknr732WttOHSaIj4kg7qeffjprG9uj9QkUh+x8X+Z33nmnSYeEH0B6DLGjIgTSjIAILs2tr3uvGALYzfBuRB3JREB2586dbfJ15Z6ToDl6TEgVKU9FCKQVARFcWlte911RBCA4yAYb2o8//liRafLkyY0ed8SIERl1ZkVvVgcXAjWKgAiuRhtGl1XfCDjBoUasZMGLcs6cOTlPgc3P7XU5K2ilEEg4AiK4hDewbq9lEHCCe+SRR8pyAYQP4GHpqbo4qJMX9jZCCPy/n/Dqq69usM63aS4E0oCACC4Nrax7rDoCTnDErZWzxCXC6H+8LQkj8NKzZ08RnIOheSoREMGlstl105VGwAkuSkDFnBMPzGjx/3hhcuzvvvvONvPfbXysQ2XphcFU41Kdb9NcCKQBARFcGlpZ91h1BJzgJk6c2Kxz33///Vn7Rf9/8803lqiZkAIKMXYEfcfLySefLIKLg6L/qUJABJeq5tbNVgsBJzi8KMtZSNPlBcmN8eI8R2V0G3XOOussEZyDpXkqERDBpbLZddOVRsAJDkeP5pZc6kXSdXlhOyML+KjgOKBE496GDBkignOwNE8lAiK4VDa7brrSCDjBYYPLRVTFnt+PEfWiRDqE3NyLkpG+oxIjow34fsWeT/WFQBIQEMEloRV1DzWHQJTgynFx5KZ0xxI/HmPDufMJ6xgNPFr2228/EVwUEC2nDgERXOqaXDdcDQSiBPfyyy+brayU8+JE4gSGWnL69OnhoYceCp999lmG+OIxd1tttZUIrhTQtW/dIyCCq/sm1A3UIgJRgmvO9d17771mX3v44Yczu7/xxhs5ifK+++6zOnhXopb0IhWlI6F5WhEQwaW15XXfFUWgVIL74YcfbFwv5l4I5MbO5hKcr/c5Y8hF6ytVlyOjeVoR0ICnkcHxChm0UnUqMxho0nCFjEi2jBdlqfeGEwm2No6D04gfDxUlmVLIRRld79shOIbQ8f+a69lN2zMgCS6tXRvdd0URcAnuueeeM4mrOSdzD8i5c+dmQgE4DvFv5KWMl/h6SXBxhPQ/bQiI4NLW4rrfqiDgBPf444/bwKNOVsWcHCkQJxIvHIMwAQK6cVyhsA7pjgFUWf/SSy959cBwOs05b+YAWhACdY6ACK7OG1CXX5sIOME1NxcldwVxMYpAruI2OnJPPvroo5auK17vtNNOE8HFQdH/VCEggktVc+tmq4WAE9yf/vSnzCmnTZuWWS52wfeNzpHwvLAeQox6XXbq1EkE5wBpnkoERHCpbHbddKURcIJ75513MqeKB2pnNuRZgLBmz55tW31f5khs8cJ6HAg8bRfbCTWQijKOlP6nCQERXJpaW/daNQSc4FBRPv/885nzRpczK2MLBHSTQJmQgGjuSYK9yTXJdgY45RwQmKfqih0myMkkjoj+pw0BEVzaWlz3WxUEogRHgLaX6LKvi88//fTTLGIjHODzzz+3yZ1OcCrhHJQvvvgisE9cWuvXr1+DdfFz6b8QSDICioNTHJzipCrwDHgcHJKYp+oqNgYJworugzSIU8ljjz1mhMY26rCeUIJoXZZxMlEcnGLf4s9Fmv5Lgkty90X31mIIRCU4v4i4hOXrm5qjqqQw57iQ5z//+U+bs85VlF7PjycvSkdC87QiIIJLa8vrviuKQC6CK+aESGVPP/207eIjdzNHInzyySfDjBkzjOB8GxWjy/w//vjjpaIsBnTVTRwCIrjENaluqBYQiBIcktsnn3wScBIptCClRT0i2W/mzJmZ3fGwRNXEOpfgMhv/t9C1a1cRXBwU/U8VAiK4VDW3brZaCEQJjnPixo+jSHMKHpMUpDeKqzpZz7qPP/7Y5r7eKoUQJk2alKnr6zQXAmlCQASXptbWvVYNASc41ImlFiS0XIX1JFrGgxKSixeFCcQR0f+0ISCCS1uL636rgoATnI/V5u79pZwcKRDVZFRSw6vSS3Q966ZMmZJV1+tpLgTSgoAILi0trfusKgJOcAyXQyGWrbnFU3IhrRH/Rrn77rvNyYRt+Wxwm266qQiuuaBrv0QgIIJLRDPqJmoNASc4vCFLLXfddVfeQzS2TSN654VNG1KCgAK9KxDkm6ZASt1r7kBiJCsGPMUJBIwYNqccWDFcDoHeHIu0X4zu7cdFRenLzMeOHatAb73fWc9E9PlIw7IkuJT0ZHSb1UUgLsFBTOUqbmvDsYRBTv1/dCw4zqVA73IhruPUKwIiuHptOV13TSPgBOc2uFIv1kmM4yC1TZ8+3VJ0MS6cl3ic3S677JIhP6+juRBIEwIiuDS1tu61agg4wZXDBpfvopHYIDsnP5IuR4tscFE0tJxGBERwaWx13XPFEYgTnJNQc0/MyN7vvvuu7e4SHH+wo3iB0KLl6KOPzpBfdL2WhUBaEBDBpaWldZ9VRSBOcJU6+dSpU+3Q5KaMFwV6xxHR/7QhIIJLW4vrfquCQKUIjoBxz2wSzZLy5ZdfWu7KZ599NnN/UlFmoNBCShEQwaW04XXblUUgTnClqij9aslm4qN8MwYc3pnkuCQcgSF0PF8l9SXBOWqapxUBxcEpTibVcTKVigXyODiGvCn1HB999JGFA/hxIEtffv/9943g/H90DsFpwNPccYpRnLScXIwkwaW1a6P7rigCLsGRUqvUwqgB33zzTYPDRKXCr776yurcf//9mXpkOYnWyWzQghBICQIiuJQ0tG6zugg4wXmYgDuDlHIV2N7iwdyzZ8+2EQVyOZmceuqpIrhSANe+dY+ACK7um1A3UIsIOMHddtttdnn8L7W4Ki0eJsB6CiMNRAdFPf3000VwpYKu/esaARFcXTefLr5WEXCC8+wijNnmIwGUcs3Ew3lhhAK8KnEsee+99wLnxJvSi1J1ORKapxUBEVxaW173XVEEnOBcRYkN7ZNPPglOeIWcPFddgr2jEpyTG56UnCNqg7vxxhslwRUCtOokFgERXGKbVjfWkghECS6aaPnFF18s+LJy1fXRBDgIDiSECkBu0XP4CRQm4EhonlYERHBpbXndd0URcIIj2TLD2xRSsKGxX7ygioTEchWkOQrniEtwIrhciGldmhAQwaWptXWvVUPACc5VlEhas2bNavT8OIjg7t9UgdQefPBBq8aoAvnKcccdJxVlPnC0PhUIiOBS0cy6yWojECc4PB1Z19y4tIcfftjCAXBU4VgEknuZM2dOTgeWBx54oNnn82NrLgTqGQERXD23nq69ZhFwgrvvvvvKQjJ4S5KmCzUm5ZlnnskQpq+Pk+f5559flnPXLMi6sP9v74xRFIihMHwur2AriNpoY2NjYWvtBQQbwUq8gmJrp6Wt4AG8wVhk+QNvcGXhuS7ukMwXCM4mmUnyJew/meQlEHAIIHAOIKIh8A4BEzhtiKy9I+V1OKlGW557FqrH9LbIRKsplYecTBC0QvPZYSbwTIS/60YAgatbi1PffyFgAqc5OHntJ6mR1uVy+XP++jxpgiYxvN1u0RbO5vssg8ViwQjOYPBbSwIIXC2bnUp/msCjwNlnxd/mqWdIFOU0+rvf7/FaYdqiy5zCi6L4touJ4rbbLQJnkPitJQEErpbNTqU/TeBR4Mz4WruMHA6Hl7PWakkdgSN3Pp+DTg6QYbftZqI4mQ9cr9cfDcin0ykC9zJtEuZIAIHLsVWpU+UEtNKx2WyG2WwW5vN59BKm4/EYr/f7fdhsNmWcpZEpgfnlchnrodGawpRGqyh3u1281rP0TIWv1+sgkwFdK63EtNFoIHCV9wQKUCUBBK5K+uSdLQEJ3Gq1Cq1Wq/TD4TDIK6zf74dut1vGWTpLo992ux0mk0m8x+4bjUbxXqW3tLrudDphMBjE5yl8PB6HXq8XTqdTtoypGAQ8Ahx4yoGn5eGZ+qeMhwF9gD6QSx9gBOe9AhAPAQhAAAJJEkDgkmw2Cg0BCEAAAh4BBM4jRDwEIAABCCRJgDk45p2Yd6MP0AfoA1n2AUZwSb6XUGgIQAACEPAIIHAeIeIhAAEIQCBJAghcks1GoSEAAQhAwCPAHBzf3rP89p6LHQ/1wCaNPvB+H2AE570CEA8BCEAAAkkSQOCSbDYKDQEIQAACHgEEziNEPAQgAAEIJEkAgUuy2Sg0BCAAAQh4BL4ADr/bwZ8RToUAAAAASUVORK5CYII=)
1
2
-1
3
0
Pelo método dos deslocamentos calcule o momento fletor atuante na estrutura [2] criada referente ao nó "C".
![](http://sga.uniube.br/images/uploads/15400/Imagem TE semana 9.jpg)
-0,4 EI e -0,67 EI
-0,8 EI e -1,33 EI
0,8 EI e 1,33 EI
EI e -EI
0,4 EI e 0,67 EI
![](data:image/png;base64,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)
MD = 316,57 kN.m
MD = 392,05 kN.m
MD = 177,58 kN.m
MD = 610,37 kN.m
MD = 32,46 kN.m
Determine, através do Método dos Deslocamentos, o momento Mc3 do pórtico abaixo, considerando N = 2:
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 40.JPG)
153,3
146,25
180,1
121,1
207,4
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Considere também que esta estrutura tem inércia variável da seguinte forma: Trecho AB = 3 EI ; Trecho BC = 4 EI ; Trecho CD = 2EI ; Trecho BE = EI ;Trecho CF = EI.
![](data:image/png;base64,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)
Δ1 = -52,048/EI
Δ1 = -37,365/EI
Δ1 = -74,315/EI
Δ1 = -63,542/EI
Δ1 = -45,122/EI
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
![](data:image/png;base64,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)
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Δ1 = -459,98/EI
Δ1 = 285,36/EI
Δ1 = -523,48/EI
Δ1 = -321,09/EI
Δ1 = 257,60/EI
Utilizando o processo de Cross, determine o coeficiente de distribuição do Nó C, trecho CF
![](data:image/png;base64,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)
0,339.
0,264.
0,330.
0,397.
0,293.
Calcule o grau de deslocabilidade externa (de) da estrutura abaixo. Considere que a corda que está içando o peso não tem rigidez, portanto não participa da análise estrutural.
![](data:image/png;base64,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)
1
2
-1
3
0
Pelo método dos deslocamentos calcule o momento fletor atuante na estrutura [2] criada referente ao nó "C".
![](http://sga.uniube.br/images/uploads/15400/Imagem TE semana 9.jpg)
-0,4 EI e -0,67 EI
-0,8 EI e -1,33 EI
0,8 EI e 1,33 EI
EI e -EI
0,4 EI e 0,67 EI
![](data:image/png;base64,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)
MD = 316,57 kN.m
MD = 392,05 kN.m
MD = 177,58 kN.m
MD = 610,37 kN.m
MD = 32,46 kN.m
Determine, através do Método dos Deslocamentos, o momento Mc3 do pórtico abaixo, considerando N = 2:
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 40.JPG)
153,3
146,25
180,1
121,1
207,4
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Considere também que esta estrutura tem inércia variável da seguinte forma: Trecho AB = 3 EI ; Trecho BC = 4 EI ; Trecho CD = 2EI ; Trecho BE = EI ;Trecho CF = EI.
![](data:image/png;base64,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)
Δ1 = -52,048/EI
Δ1 = -37,365/EI
Δ1 = -74,315/EI
Δ1 = -63,542/EI
Δ1 = -45,122/EI
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
![](data:image/png;base64,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)
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
0,339.
0,264.
0,330.
0,397.
0,293.
Calcule o grau de deslocabilidade externa (de) da estrutura abaixo. Considere que a corda que está içando o peso não tem rigidez, portanto não participa da análise estrutural.
![](data:image/png;base64,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)
1
2
-1
3
0
Pelo método dos deslocamentos calcule o momento fletor atuante na estrutura [2] criada referente ao nó "C".
![](http://sga.uniube.br/images/uploads/15400/Imagem TE semana 9.jpg)
-0,4 EI e -0,67 EI
-0,8 EI e -1,33 EI
0,8 EI e 1,33 EI
EI e -EI
0,4 EI e 0,67 EI
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA8AAAAJzCAIAAABPne2jAAAgAElEQVR4nOy9V3Bbx7rny4eZOXXmYWr4Pg+nilNTNQ937rm3eM/Z5+x49rZNOciW06bTlrctyzJtyZJsyZapLCpBsiQqU5QVKQnKGcqiAhQoMYE5ASAARgALgUSO331ost1cCQsgSILU9yuWy1ro1evrr9N/9eqQBQiCIAiCIAiCKCZrog1AEARBEARBkMkECmgEQRAEQRAESQIU0AiCIAiCIAiSBCigEQRBEARBECQJUEAjCIIgCIIgSBKggEYQBEEQBEGQJEABjSAIgiAIgiBJgAIaQRAEQRAEQZIABTSCIAiCIAiCJAEKaARBEARBEARJAhTQCIIgCIIgCJIEKKARBEEQBEEQJAlQQCMIgiAIgiBIEqCARhAEQRAEQZAkQAGNIAiCIAiCIEmAAhpBEARBEARBkgAFNIIgCIIgCIIkAQpoBEEQBEEQBEkCFNAIgiAIgiAIkgQooBEEQRAEQRAkCVBAIwiCIAiCIEgSoIBGEARBEARBkCRILKCzFKDVasfB1tFjMBjy8/Mn2opxQqVSZWVl5eXlTcjTScFIS1R5eXlsYSspKZEPoFKpRv9QjuOys7MLCwtHH1WGQLyUm5vLcZyS8KT8pOBM8qDUbszNzU32LpaUbZ7CcBxXUFCQlZWVn59PGmryz4m2a6zQarWpNT6k8FCEPQUvAG1a6RPT2CEK4xyjUs17UHZ2dkJL6E+8hjdhX6NSqXJycqh7NRqNfHjec8enLzMYDPSJ49D+89Ko0+nkA9CixSuNWcoKPOnXlDiTl7kK4x89tISMsi8YH14sAT2e5WDCmaoCWtix8UpjWnqavLy87OxshVoz8yG9YHZ2tsFgUHjL+AtonU43yuxDAS2ksLCQ9EakdpD+aQqPI6RLQAulpJRenEoCOkug4WSEWlICWijIsrKy1Gq1zC28wOPTl7HpFZaBtMNLI294SKZopSagycuzEmdOiIDmpVf4OpFpKBXQk0UiyzNu5SATmKoCmteoaTQaXj0ffU9D4pxKOoy8DyTVHo2/gIbh9j3ldhMFtBA6rm8wGIh7c3JyMr9nSpl0CWheOeQ4jvfrVBXQPA1HX70o9CflArqkpCRLAplXeimHjyl0BJQgL/FHDy+NvDdb8vYrWrSSFdAcx+Xn5yt35oQIaKrvCQUFBePw0NGAAnrKMvUENPn2xCuNwiZm9D1NTk7OVBp+To0JEdDk+2nKhRYFNJIWAU2aGrYgCV/URQV02pIxDG39xkFACz/uC18bssQEdELbqCotKCjgOM5gMFBdnnCaBM2XcejLhLk81t9qeM7nFSHh24tQQCtxi1qt5r0YKHTmmJZtHsLCNg5fAEZJmgU07cDIaAcpEzk5OaTa8AJzHMdOisrNzRVOb+U4rrCwUD4MqcZarVar1dJ3rNzcXLZWC1/XSIrovVSHsRWGjTA7O7ugoED5yI1Go0n2XmKMMIEw3ADRSWMcx5WUlLDviCS9rJOlBHRJSQn7PbewsJCXNfI+EUImWRILc3JyiNtFq1xq/qTJJMOoWSPba5IWtnUYZU+jVquzJJr1hPaz5Z+GzMnJoXlKCzy5PaFGZ8s2zbXc3FxSeonnaS0TTbjCcqjRaKif8/PzdTqdUIxKNQW866ICWqfTUVOzZGdAEmuVFAwlNgOAwWAoLCxku6K8vDzlA0tqtVq+vhDYapWfn28wGHjGSAk70evKbU5YJpW0FTRkwsZWCl6DT+IXTW9Cf1K/qdVqEmFubi4dp1Sr1fn5+bQgkc6FHcVMi4AmLmUbT9IYsu3M1BPQtCDRX6mgZBOerG1kahaB5jVpZknM8hamIKCTDU+hI6DsUKjyaW8pIHQ+bUhpDWKdn4KAFr4ZKndOCmWblgqF4Sm0SLAVfKy/AIySMRHQNP15eXnUm7zVSzqdjs1LVhwoCcNGRR5BSnx2djYbkn4CUKvVrA7Ly8sj3QxdWUWuk+aY3ELlY05ODvlJeY7S6kfuVVgaSAESzp0nDRB9G+M4jiaQpIXaxtYKoYBmb8zNzWVHdtlOV8YnQgwGgzCPaPLZkCn7k5dxbKJoE8O2EaPsaUgShAJOif3C8k8drlKpqGPZSqEk7WzZps/VaDTCp/B0v8JyyEtadnZ2dnY2adDTIqBpy8hLgmi5IoETfrxTaDNtQ8ijWSckLCccx7E5Re8VTobhBSNheMYoF9DKbZbKX/ZNW0lbAYobW1F4BpNH0BiS9SepROT23Nzc3NxcqrFoesnt9BHs9yKhPxVKal4bwruFPCs/P5/1Jy/+hI+gIcnrEB10kOlelYhU4fCQkIQmsamm9pBaRpZTC6NSKKBp9Zca25a5F8ZRQLMmcRxHa8qYftESOp8+jr69sPk7GgFdUlKSrDPHU0DTmqXRaJTP1Z5YxkRAZ40cM6DNKzueQdey0IaPF4wuF2UH6uinH9atNMPYkLTSsk2zMF/pvWyXA8NlNzs7mx0noxO55F9JiROys7NZp9F7ZTxJKzAvftJ4UW1EyhavYxOmVyigqYCj8dMV+mwPJOUTUWicNAwVdlmCkYzU/MkKaF7HRpsYdpBjNO0dmUIg/HKk0H62/FOH0ItskaAGyw+1smVbeJHNSmIMa7nCckibSKqq2dlyoxfQNH62+mu1WuHHBIJUFrAot5m0Mzw5Tsu8zCOAWX5H84jWF3bYjPqZBmPFaAoCWqHNpMrzyiQvmMK2QnljK4S9l15k57ym5s8spsUjJtH0slVG2LmkRUDTW+inHlqG2eaIF3/CR9CQoiPZooyngKb/T59FXxvYRyRlG0hLPfa5KdwuQ7LhCbTQki+u7Ct6UvEkBXUCHWGhZtO3F14ekV+TEtD0K03GCmjaIZK2i51LM6ZfAEZJGnbhEI56CtNMigI7Hpw1UrTR6+SjHgyXZmHZpbvM0GaUZJgwJKn87GCbMF95RZZCGjjhF0zS3MsPj5EGXTiwSjeTkrmXhOE9lxhD00sGOIXCi5denoCmBVRYHHmJlfKJEBonLx9pSyT1CF565f3J9li0XpF2hLZxMLIlIjcKy2rC0W5SMlMuD6Lln5ZY3tPzpGfs8MLwyjYVQLys5NULheWQ6E7e0DUdgBm9gCbxC7OYNgLCVJNHy3SrCm02GAxkmJN3u9SbKouwneGZRx0r6mehFlEooJXbLMwgep1+YVPYVihvbIWQe4VVhvcZSrk/haO/9Do7G4rC61zSMoWD/bQFTHeu1WrTIqCzRr79yjDOApp9ZWKd8CIIaDoCSooiu5+d6Hwz4rpRDpHSR6hUKrY7o/bk5eWNUkCzZKyApmmnFZm+ZAqnU9IeMGui53iMiYAWfpjmiTnStsqvHpCRF7xvoySkMDbhp2RhvgrDgLQuBGY7MCmzZQLQaKXuheGWmnUguaLkJZiXFp7P6ewC4Y28LlDUJ6JIxcmb/jgaf8JIAU1jJtlN6hixnBZIGQGdMF2kGqdcHqTKP7ld9Lu/vD2iZVvKaeQppIVVXg5FbQMxV7DxSz1XmC6p+GFYegojTPhqodxm+Rhkem5SKUTn2LDFXkaukf4vtTnQCW2mvXtqS115eaS8sZWKStiN8YqZQn+C2KczeXjh0yKgYTj7iMHsy0C6BHTCXZAJCkVqyvDEGdUxHMdRmaLVajNcQAv3EhEi7wfeCChBOBc0KauUQM1TqVT0PU2j0dAKrlKpMl9AJ3R+wikM9JMdbdWlvgCMxaY3KTMmUziEecO7rkQ6SHWuymNLWUCzM9V4CCf28ZAaj2ENkHcmSTgdnBAdkyZwHKfVatVqNf36kyUtoGU6Ql6Xo1xAE9tEQxJpy4s/BX+CoMeiMyxpE0P0Ja1OPOkmTKbMwM8oy4NU+RdNo3IBLWqP1FNI6VJYDqkPhWFI9zlKAS3/0ijlAXkdnJTN7F1arbakpIRdnCdTE+nEDGGms69tUp8shKlIQUDL2JysTJRvK5Q3tkJk7hVWjYT+VPJEknyNRqNSqdj1BvSnpDzDSym9l4pm+mWDiOl0CWiFbz7jLKCpaGbnoZLl/sI0TiUBzS4fpBfZkU7hsiteuU0NGr9KpWJ7NDYjpryAFl1RKvUFgOQUeWOXUSDjw0QKaPk4ZZ47bgJahmQ9kDBRFNLvUsXM09P0KbxdabIEWy8pf2lJWUDLhCQ/8eJPwZ/ANNNEKNOprnSiCKlLNCopAQ0j657yFCm3P3MEtMJyKKM2yE+jFNDyakbKAyrZ3eiSspndqIQiuh+iqA0yEN/K+JmXCuUCWonNyj8fK2krZLyRUM7K3MumS6E/5Z+o0WiEG3ulXUAToUybF/o/RFqlS0ArtEqJSE3XFA6O4+gbL92PhWiaqS2g6Tz+rJFajV1WyI5h5eXl0cYzXQKaPJduO0MFPXmLFvpqKgloXhdPYfc1ohdJsWSndE/gLI5JPAJNfTpGAjq1kySVjPzJrxsjTRh5Ovmmw4uNXaCqUqnUarWW2ZIv5RFo+ulKuYCWef8jRZ+NP+WTOXnNNO3PqCwgdYnWVRkBLa/MYNTlIXMEtMJyKDOaKzxNRqop4F1PdgRa+HVFPpuU20z3oCB7YpCPpKT2JWzWiA0JN6kVraGiqVAooBXarFAmKmwrlDe2QmQ8yVqo0J8gXYnoMFVubm5hYWFJSYlWq6WDo2kU0CQqWnR5++1MYQFNrtC9CMlF8towGgGd+btwsNsE8X5iN8bl/ZReAU1qELv5adbw20vmC2gWWioUhmdHmnnSiF2LLPrFhv3QPSFMjICWmgPNHqMg1bmCxBzoNApomTmvCeGJUdFoE0ZC37GEI6YyuzfIC2iZjjDlOdAyKo1N6Wj8CYJmmjfYwNP9WWMgoJXbnzkCWnk5lBJPQl+JNgW0IxQV0CD70ij16IRTmRXaTNfGCTMuYbMmM2eXRaZS8/wgJezoxMekbJaZA002ZVer1crbCuWNrVQyhfcqnwPNQ6oSCbdyEg2fLgENgnE14kZhsCkmoOkTCcThopYrFNCi+0CzO0zLe2AcBLTUCCiM3A6CV4/GQkDzspL217xgMIUENO/LD4vUFwBCwrXm48DECGjywifsJFiRl+wuHGkU0CC9wp1YLr+Txmh24SCQtJeUlJCoWC9JdQ/smgNyhefzZHfhUCKg6UN5cdIXet4jUvOnlDLmNQRKBHTCKRxS0k2h/ZkjoEFxOZTaCEWYZBIhb/ETu9JI1OYUduGQ0XNJ2ZxwLFOmWaNlWxiGzK+gTxHdoUVYH6Vew3i7VSi3WfS59GO0TqdT3laMxS4cvC0FlPtTvhIJb+dNRU2jgOZJSalgEy6gR4PQJJ6G433xyEpeQAOzRGx8TiJMKrzMCKjQePb6WAho3vCQsMubegKafuuQeYHPErROPG9MFBMjoIHZ65TdAJ8dWEp2H2jlAppVe1L3shPg6EWt9Oa1wsSmsA80ha3SvEpLu2FWGGmZY+pk+qG84T2blewDrbC9JuWbjZN6ia1Co/GnsJlm50HyRtGEjQ6NR0rus0itCVNof0YJaIXlkJYomjRaKniPFm4qzOa1lICmTbDyrKcSUMotCm2me2OzUdHz7RJWRlK2EzqQ7hFOr7D6gE2gcINn4X7Jym2mbyD0CnUCbxJCwrZifPaBVuhP+RFo9inseZ9jIaDZ00N4n/JEn5jwoZNCQPOOs5axXLltMmPkCffyG2sBzeayPLy3fXkBrdA5NHIqe9gn0kohvDI1BLTw7HQZaJOYcOw5NeekgFIBLQ+vcVEioHmHV4m+jyZ1EqESAU2Pfc4beRKhaBHnnfIlf3ya/L00Fcpnu9NSKNztiP5EjuOik6V4m+MKfZ7USYQK22veUWd0+qZwclLK/hS2ROw5qzzdliX21s4iny6ZUzyU2J9RAlpos1Q5ZBdB02C8XdhAos7SgiQloGHkFMOEWa/kIBWFNrNrg/Ly8mgwarz8VmLC+iLlQN4JeWwVEPUDW4R4I7VJ2cx7Ls0dKkoUthWguLEVRflJhEr8Kd+JUO/Rpoa+15FgQgGtUFILO112EwbeS3LW1BXQ7PCNfBqTso2+6rAo6RDHWgwJl9jKwHsXlbEqNQHNs0cmWMYK6KRgu/KEkP5CeIvQw1NfQAMAx3F0qS/5VdifGQwGNkxubq5wnF+5gNbpdLQFJ/HIixitVssey56Xl6dcAavVatpkkFZefu2g8PYsCRlB1s2wPlGpVBzH8XaMlvJ5SUkJdQI5tobXQSYloIX25Ofnk8MgssTWS6XgT2FLJLq7kBIBrfxxom+3Ce3PNAENisshSRotFWSFlvDROp2OeiAnJ4f8mlBAk/jZnSXy8/OlxCsZklTymqrEZrKQQJhlvNM3ZFCr1eyrZn5+vmjZ0Gg0NFh+fr5OpxP1AxssNzeXOIFXPJKyWaPRsE5gh5BBcVtBn5uwsZVCWDCkZGtCf0pVInIv23aR89V4R8ykUUCLbqQ15QU0iJ1hMXoBDQAqlYodbVG4E/aYiqGkRkB5NoyRgGbfimWCTQEBzRtuTwj5Ti68ntECGkFeKIg6VyKtkLGAdLGZfHyrQpJ9EU0ZUmKTej8fB0jXO6bHIGcIYyoyxlpAj4bxsW3cxNDkYnzcMtYj0JMddAqC8MnJyRGeM4+MA+w+PJOdcRPQZASaDHuP9bOEkGFFqc0xlKyZnuyggH6hBPTevdDZCQBQVgb/9E+wf3+C//+f/3Po/9MLCuhMAJ2CIHyEWyAj4wP5fJlpg6mpMW4CGiZ0uJdONmNzjbcifGrD2zkhLakWxpmBzREV0GOk5HgeyBABvWED/OY30NAA//2/w717if/79Cn88z+nX0ML12WmN35e5qKAFgWdgiAikBVOOAg9npDhZyVnbUwKxkdAq1QqlUpFBqEnSmGILlXMemHmQaGAfqEENAAsWwb/43/Atm0AAPv3wz/9U4L/7+iAlSvTbAMK6EwAnYIgIpDNEKaMmJsUkK0VpsxLy/gIaNq95efnT6DrFC61nJKggH7RBHQmgAI6E0CnIAiCIAiCIEgSoIBGEARBEARBkCRAAY0gCIIgCIIgSYACGkEQBEEQBEGSQOnhTHSdinwAdpp/Umsgkj2jblKssUgK9nQ9hUc0JQvPY8LNwngBhKdkJ1zMkXBn0PHMOJVKxW5PS8oq70he+k/5Y6UmCplT2SYdvCOXWXg5NRoUHjuXsfErYYyWJ2ZmFRh/OI4rKCh4cRZBZjhpzw5ySmi6YkPSiEajSePWPTwZMxYkJ6CFJ0vLSCvlOonVjiwyrpx6Apr15BidPsDzGE+yyKwln4wCmqePhVdQQI8nZIs60Z0BhTk1GlBAp0xmVoHxh3c0PTKxpD07Jrz+IqKkvf3hyZixIDkBnTVy2FJ4LnkKAlqn02VJM+E6bHwg8oJlLI4y5j2CJ9MLCwt5AaaYgE42QCYwZQR0QUEB76wNCgroZEEBPaaggM4oUEC/IExxAU3mV7CtNjmwTUpaCXWYKFS3ZWdnk5AGgyE3N5dcTHi2ViafdKocoXhN1xdtFl5W8hoR6nNhxo2Fk8c641BATxZQQCcLCugxBQV0RoEC+gVhigto4WFXRPbRc6dSFtBEuklJc3kL5XUY/VU+krRAe9YUOjb27C6Fbw4pwMtKNmvoxwQ2NzNTQIu2pzxZkzUS8oikpnAIt5Fnoc/lOE6lUtF3D9EjJEi0JCRxb3Z2dkFBgfAjg8FgICO15BadTicqoNlgJDcVthGsDVlZWbm5ufIrDXj2FxYWkofm5OSwbiQRshdZ2CM2SBh2FodoThHIugjqWFGPsSnKycnRaDSiAje1hKc3fjKVk4ZJuMxD1A8FBQUcx4kKaHYZiZS7NBoNmxe8MKIdmMLCljBYUjUlhZLGi180CxLWRJlpbGOUxeSJKpXKYDDQXM7NzRVdBsNWJdH4ya+0hOTk5NAAJIOobcLcl0JJxkkhX/cJMmVSKjuyhptHkpzc3FydTiclv9jKInr4iJIbgckptVpNCic9uig1FxFjtFot0VG8c7sSuk6+siS0GdLRYhB4RUuYdppStinj1SCZr9y8BXK5ubmiBUmtVpMsyM7OJn7gVWEYXWEWJQkBTf+f/krsyM/PpwalIKBFYWuOfMgpIKDp20Jubi47lyPtb07CrKSmUhvYHE9BQI9FSNEb5QU0PU84JyeHdjNJCejCwsI8AVTakjAGg4G2PmyArJHLQMktpI6Qs45p7WVbAZ1Ox8aWnZ1NGjVetdJoNGww2mwl7KoNBgPbtdM6m3DRBjGb2k9vVKlUJC3sRd7ZjfSFkE04e9ygaE4B0/KQ6zTJvClkbMtD4qEfc0af8DTGTw62pMmRcpcQuj6E3Mh6kq04vGCi7qIuZctqdnY2T6+kUNh4RZcGo7VAeU1JraTxckoqi7MS1USyvIzYRgIQB45dFhOfs6/NUjeyCWSdzAYjKaL/zc7OJjlFm3diG5tweQ2tMONESVj3IVGZlMoO8k/SQpKYDQaDEh3MqlLyREhSQNM3k9zcXDLIlbKL6OAISQ6Rp8pdJ1WY2VXaUjZDmloMkK77bBNB4qHvCWww6l46kEoC0FJN21uSRvYNWaqwkTD0RioVRlOYpUhCQFONQgyiY5YlJSVsofw1aubGZM2iz024nG4KCGj6TkambSjv4JOF5gjtkFi9mDU8i0aYcWMhi5WHFL1RXkDDGCwiJC0Oq3pJxvE6UeGHGmIYnaEETH/MTtQh+c7GRhsFoWRng9GmUL6i0aaW2k/bPvksoPbTtrWkpER4kfqH3kiCsWGof9h6Lcwp2t+zrTDxBut/UmjZFLHLkUef8DTGT6Jic42WWBkFQ7Ob+oFVijRyuoxE2Gnl5OTQQTKpvKBW8aqAwsJGhSMbjGY9+WeyNSXZkkai4mUBcRRbxRTWRGELM3ZZTMMIE8jaQPwgpT55lgsXG/BKEZtw+SqgMOOEKKn7SsokiGUHSTXPGwp1MAimcCQloLME/XLKLqLZx3sdVdhs0oaI3i4sk1I2p6vF4DiOlCI2fvrWTW+kKSUf0NiLbC0WZgSxk1eeeUIUhvsLNhh1BRss5ZySIQkBTRUzyR7ayWm12vQKaDbxCd8MJruAZhdiknaW7aTZBoIMTo9mageNVqVS8QbSSA+Rl5eHAlr0obRMss/NG/5gKrSEbReETRV9Om0QSUshzFyaL+SfJNeERvJiE0KbmITWChG1n1zkzdTntZukbRV+yifBqKoQ5pRwTheBOJw+lBcPgVewR5PwNMYvWmjJtzuZ5pF0pbzOj9cOw/CrhZS7SMaJFm9SqqUEtMLCRtorYTAyFEQKw2hqSsKSJrXBC4mfrVNKaiIIMmtMs1ioBliraNaQz/TC3pDcS2scsYE3dE3eJYTbRyZsNEBxxglRUveVlEmQFtA8b4ybgOZ5I2UXEf8L80Vhsynae/LKvJTN6WoxpOo+r/RSac4Lxiu9wieq1eqcnBzhNxxeR0BEMK9eswKVvSuFnJIhCQENzIs4MMNjwIih0QtoVj0reS0Q6rCsRKRxaoRwThWPhEmgQyy893KCwlmSCqHRqlQqWrw0Gg2dN6JSqVBAC59I37MVmsqzhPyTp8N4j6MfuXhRkeJBg5G0C/tRmoNSJknFDxLttTA5vDEt0arEZo3UKwEMt3e0+RPmFIlcdJYb9QZxoLD7oYMro0x4euOng9lJfSuUym7iQOoxUaEPw4WHNCys7JYaEOWVSYWFjZebSSFaU5ItaaKvGQTeG52SmgiCFmZMs1io8gl07E3+dp6prABS+OjUxt7kWxuFdV9JmQRpAZ0wH9nb0yWglQ9gybsIBCqToLzZFHUCjCzzUjanq8UQVa4gKL2iKQVBziovkLwuQ6q/EI55iZIwp+TuVWIofQAVzVRSkA4mXQKaVc+8DzRSTHYBLTpniJ3QQy+mdwSa9oKFhYV0zJtdI5WFAnoY4eczHmQGXklJCbuWgv7K+6fo44StvGgwEpXoZnAyP4HglV3hTzL2i1YlNmvouF2eAN7biGhGiEoH9ic6g1De4JQTnt746XSIrOGVK2q1OmH7JupkGOkx2s8J/Sz6+YI2LIWFhbzSklphE62PUqRQUxKWNLqWXegBXg+qpCYKUzSmWUyeLtq2iFrLcZxWq1Wr1XTOqNBUmbwgi+1UKhVdlaVQQMtnHA/ldT9hmRRNlMJ8ZG9Pl4CWcVdSLgKJ3YeUu06qkWTdJWpzGlsMdgY2Dzb5oimFJAW0VqvVaDR09imNUNj1S8VPSTanZFAqoImSo8Ol9H/IW0VeOgR0CuoZJrmAZtUqm152ExJaZNMooMkYCV2cQfU6XYrBc5TQyVKMRUjRG8dNQPNmhrGQJb200BLoP2kw3j9FHydV1UU1jahb5Mu2TM8q7GBEY1byOPYpCatGCm8ybC5LNcogJnBTSHja4zcYDHS9PEV+hZlUdrO2sRVWFNaTvG0csrKycnJypD6hKixsSgT0aGoK+ywK+1BeioSkRUCPURZrh/dJEP7Es5Z8zhZ1YEJTyT4JPLcoEdAKM46H8roPicqkaKIU5iN7+9gJ6NRcBBItjHLXSeVdQgGdxhZDPp6sdAhoLTNDmOdetgFM6AoYRU7JoFRAE/vo50veuOnoBTSrnpNaPCevw3hvQmMKLZfKFSFt1IQjENQbtP1No4AmOUIXL9JtEGBk7UIBTd9kRMfh8oaX7BQUFJDZL+wbCA0mWgKn/Ai01PQ4IS/CCDQL2Z1QuBZQ6kHyI9AJZ+8I4ThOrVbTnR/o7N6xG4EeTU1JWNKkJnRKmc27mK4RaBblWawd3oVD3lraEefn56tUKo1GQ/ejEJrK8xW7PUhhYWFJSYlWqyViImENVZhxPJTXfdZI0TIpmiiF+cjePnYCOjUXgYSsVO66LAkxkFBAp7HFSDj9j5CygKZuJFvXqdVq9p052RHolHNKhuQENAjeOUg1FgaDZAQ0q56TnfU7eQU0bdeyxCYasufLkCtpF9C8l10q4oUZ92IKaPpNVrTvpNO8RBclZCUpoFUS8yx57WnexOK+l1kAACAASURBVM2BFr0oI2tkdLCobcIeLrU50DxXpJzwsY4fBBPchUhlN08yEnuk3p1koDPxRLtbhYVNag60SqUi+xCPsqYkLGkqBYvhZOJPKKDHNIulihlvLqzUbE7RhpoXTMqGhAJaecaJJiq1hVm8MgmZLaBTdhFIyErlrpNqJBMu04T0tRgJB18IKQto3mIP3o28BlDoCtbU0eSUDEkLaN5wulQwSEZA0zf1FFaiTF4BTWcei9YW9oRz8lKRdgHN+5QjnAOTyQJadCl9VvoENN0vTOp7iFT3I7REtATyHidVvUliabAJ3IVD9KKMrAGxzbNoMHIoCWs8m1NJ7cLBs4Hn/9HvwpGW+PPy8qTCyCgYUelDX7ypf4TbM1FTs4fPFCCnDEitZxcV0KPchYP0XlKHAYHimpKwpNGmkrfUiTiKbK4vE39CAT2mWUwbYZ7xKmbdlVQfT6/LC2ipr1u8tkWI8owToqTuKymToomS8QavfxRWFuHtCm8UzcrRuEhKVipsNkn8vGC8tEgVv3S1GKSBEmoS7ciZ/SkLaNG6L9UAir6KZI18zU4tp2RIWkCz88p542eiiRemX+oRUshbOBoBzSpI+VQrSVGyApq+NiSEFEQZAa3Q1bxg7HYf7L3CK+MjoKXczoNWWtpXiZ5bKRw3SkpAk0E+mbn4orM76NqArCQFNHUIe1IUrWs02ATuAy16UV5Aq4Z3+mSDCbdzFuaUwn2gVcP7QNEsEC0JKSc8jfHTHouG4YaPi5OZIyvsKuhdwqKbNXIAglcq6Bsamxc0OaJTOJLdB5pNCK0+MOqaoqSkkX+yWpm+AAu7JF78UjWRHXofuyxmP1JT46mTyRX2yAX2RoVzoOkiS9Yw4R7zQpRnnBAldV9JmQSx7JB6Ou+DoWhlAbEBSyU3iorR0btI2AQpbDZJ/GwwWiZpsykloNPVYrB7wMtUjaQENPs1Jnf4qD56xWAwCGdG0VdZWkjoKZU0/tHklAxJC2h2l2J56UODyffrvIURQuQtTHkgE9ItoJOCPXFQCQaDIe0CGkY6XyZYRgloWmmzmTON2E0VCbRu5CV/EiHbq+WJQSoheypS3vCSf7q8ndfS8VIhbNro1zE2XcKFPhNyEqHQftHyJuy/eUdqic5ZEuYUMIVB5qAsYObx0xQJF4WknPA0xs9u0UCKEF3CK79amuoknh94VYx3rpjoMXX0fYx3VJ5Md5vsSYTs09nMGk1NUVLSuJEnEdK2JXvkqWmi8Ut9OCZJVn4SYWpZTIcMaU0X5osw7+gWWCQwrU2iAlpoGDU+S2z2CIvCjBNFSd1PWCZFs0M0H2Hkngd5wxNehcOTbFlVfqOUGE3ZRVKyUqHraADWbF6ZlPkAkpYWAwQnEYqeFKhQQNNPSXTkm6peNnKaNayptBPJHXnCKBv/aAqzFEkLaFb58T7CZiUvoJXoSHkLJ6mAZgfylaAa3nguvQJadL88YbCMEtAwvKictoMkBmE+UieTNiUFAS0FHcKnZmRlZeXn55MawdsdU2gYSDRtbIQkXaQF4QVjk09aE4UFkqwcYqWAkiUHovaLljfR/ptdx00WcAh3FeXlFEGr1bLrXEVvhOG5tmzkQoNTS3h64ye5RsOQ/FXSaut0OuqH3NxctVot2iERd7GlUVgqeGvqeWFEy6TCwsYLxsus0dQUhSWNZAHtI0Xdq7AmsgOQ7BmQY5HF9OlsLos6mX16bm4uGTvk7YEtWgFhZBEiuUOUKDtfVhSFGSeFkrovXyZBLDtE85HGRstAfn4+nUHEVhZ2eJId9Ze/UUqMpuwiGQGtxHXkJ/bppHFgw8jPIBp9i0HgFXuhGQoFNHkc7f7IFY1Gw1bqwsJCjuNEd8tmQxI7ha/ZoynMoozh5GDq9NHLTRlGI6ARhYyFk6XiJG+H6XoKgiBIxpJwkjSCiCLzFoGMGyigkcSMm4Ams/3kd05FEASZGqCARlIDBXQmMB4CeiwErvAjOwrosYP9iDPK5l4m48inOt60RQRBkKkKCmgkNVBAZwIooJHEjI+A1mg0dJkIgiDIlAcFNJIaKKAzARTQSGLGR0AjCIK8UKCARlIDBXQmgBmAIAiCIAiCIEmAAhpBEARBEARBkgAFNIIgCIIgCIIkAQpoBEEQBEEQBEmCiRfQBoOBPSTp6tWrU29RhdQBUSmAi04QBEEQBEEmlokX0PTo+by8vLy8vCkpEFFAIwiCIAiCTBkmXkCTseepfXZGGgU0giAIgiAIMrFkioCeaCvGFhTQCIIgCIIgU4YEylWlUhHlp9Vq6Uzl3NxctVrNC8lxnEqlys3NpbOZ8/Pz5SUj73gO+iDhFAWDwVBQUJCdnZ2VlZWTk0OO3mCDSU1sII+gR3XQ5BQWFhIjCwsLU7afolar2bTk5eXx/EMFdElJSU5ODom/oKCA4zheVCSlJAxJbEFBATs8z0spyZTc3Fw2EnpYCXuqH5uD5OlTe9QfQRAEQRBkjFAkoKnczMvLo9qOPUDOYDAQdUunMpN/ZmVlaTQaqcgLCwup7iR36XQ6oRTW6XRs5MSAgoKClAU0uZibm0vkacr2E6jmJjdS/1BpTs0gIXNycmj82dnZrIrVaDRUN5PYqN6lwXgp5TiORFVSUkLjITawGUQSLnw679xs9k1GPtUIgiAIgiAvLIoENBGsdLiUXMzOzqbByNAmEaMEjuPIxYTL3Uj89J9CKUx0JGsAUc8pC+isrCzeCHHK9peUlBBlzI4l06fwzGBVNcdxRE+z8RNdy9pmMBh4aliYUmJDdnY2sYE8nR2TprqcjZn4kN5FQAGNIAiCIAiSEEUCOicnh3/byBkCRCDyJiQQqcfqbHELZAU0+afQAPLE1AQ0b8LDaOwvLCzMzs4WjlKL+odnHh08JqPLOp0uNzdXaBuxOT8/Xyal9B1Dp9PxHg3DY+TsgDR7Fzt0jQIaQRAEQRAkIYoENDs0S1C4Ko4njpWE4QlEOoeEd5darU5ZQAuTMxr7ReH5h/xTqLPJIDcrYYWIvlEI54gTLS6qlUkqhPOteT5EEARBEARBlKBIQEsNXgoFtMFgIEvl2JVwCSyQFdBS0lOJrAQJAS1MzmjsJ3Acp9Vq1Wp1YWEhnRXNE9C8Cccy9pC54CqVKj8/nyjjhCklEzmE4+sy4+gKPxEgCIIgCIIgLOkR0GQLC7rwjkD/mcACBQJaqNTTK6BHY79araZSm3cjT0AL7+XZQ7bgyBqJQgFtMBhIeN74uszBK3SzDvkEIgiCIAiCICzpEdD0NMGCggKVSqXVaslQ7mQZgU7ZfrpeMD8/X6VSaTQaMswsKqCFrwGsPXRKdE5OTmFhYUlJiVarJcpeeUp5zwUcgUYQBEEQBEk3aRDQZOEabz8HUDzAKS+gyQ566Z0DzUvOaOwnkleojEUFtNQcaLI5BpmDIUyCEgFN7s3JySFuycnJEe6tgXOgEQRBEARB0kIaBDRP4fHuHaWATmoXDl4wOqYrL6BTtl9KYdPrPAHNm1xBJ12QXTh4Wl8+pay1dAUheRwJz75yKN+FA0EQBEEQBElIGgQ03WaYXSRH17SNUkADoz7pGCqNXLiJMpWDHMfRWQ3yAjpl+zmOIwFYDarVaqXmQGcxOzHTfaCpqiZj7ezgMcdxSna85qlzupMdfTruA40gCIIgCJJG0jMHmu47kZubSw+6oztICCcPjLAgkYAWPYlQeAoJHTAmNmQNH8edUECPxn6ierOGT/ijtpEI6ZwN4UmE9HE0cjqQnDV8qCH5f6J06d4aPP8QcczTwcQqdjsOPIkQQRAEQRAkXaRtF46CggKq//Lz84l2ZOf4SlqQSEDD8PYUdI0dWWAnDKZWq6kUzs/P1+l0PPtlduFI2X6VSkV34cjNzSWj0WQAm44KU3fRwDk5OSqViifNdTodeWLW8IpGInDZ81bYhIue4w1ic1fIjTRycoY5e4o4mxcooBEEQRAEQWSYrFuYkQVwyo9EQRAEQRAEQZC0kOkCWqvVksFa3nUysQEXwCEIgiAIgiDjTKYLaLJVBW+2Lhl+prMaEARBEARBEGTcyHQBDcxCPbLCj044lp+ajCAIgiAIgiBjwSQQ0ACgVqvprhRkbw1c5YYgCIIgCIJMCJNDQL9wxKEP4CnAM4DnEn/PACoBKgEqACwTbS+CIAiCIMiLAwroDKWyPrBut2NjiWNTqcjf5lLHjl8cm484l5e55pc4r1T4J9peBEEQBEGQFwUU0BnK/Uuur/Pav32jY+Fbevbvuxn679/WL5yhn/O64c0/d/zmt62//beW/ftsE20vgiAIgiDIiwIK6AzF3++xPbfYK7vsVSP+XNVdoYYuu65759m+T75u/+SPlZdX1Fqf9020vQiCIAiCIC8KKKAzkTgAxMIQHoSIZ+gv7AHwAHitYf9T/eCFa9ayg+3HixtvlbQ6K3vA5Z1okxEEQRAEQV4UUEBPDiIA3hiYXPHz+tiqK/7vf7bd2trgutsGPgfR2wiCIAiCIMj4gAJ6ctAJsLk1+sYW1+Zv9Y/36Z36/gDniwUiEI9NtGkIgiAIgiAvFiigMxE6pOwBqPbBmdroxcvuI0f79h2wPD1u9lRbIYJzNhAEQRAEQSYGFNAZSiQK/b74fXd0Q3Vw9oGBPYvNzSV60FsA/FGA0Mi/6ERbiyAIgiAI8uKAAjpDedwTn3ch+MacvnlLOk5cb79vc9dAuBFiDQD1AHXMXw1Az0RbiyAIgiAI8uKAAjpDuXJ/MG+m4bf/X/1HeXVrf2z9+WD/5hOuDQfdG35xbdjvZP9W7XbceeqbaHsRBEEQBEFeFFBAZygPr/TPf+P54r9WLf6g6bt3O79727DwLf0C4d+b+oKX2y8esE+0vQiCIAiCIC8KKKAzFL910P68k6s22ast9upuj67bXdtlq+yyVXbZqob+7JVdjqoub40l3OeeaHsRBEEQBEFeFFBAZyLDB6l4IOyFmAcCniftg8aeQYgPH6pCTlcBbyTuvfDc8aQNN+VAEARBEAQZJ1BATwLcQZhzzLv9fpA9MSUMYIvD3Z7oq5u4TRcHJ8w4BEEQBEGQFwwU0JMApzvy1qdNMzd2PwpBePjisygU3g5NW9C79OPaJ2rLRNqHIAiCIAjyIoECehIQ8EYubG9etLiloMTx1AGPHbD7bmDTTm7j2q6SLYbnx/XOZofM7dEomM2g10N/P0Qi42Y1giAIgiDI1AQF9GQgFoOevqtbW6a/01x8x7f4duCVlf1L322tXt8Chi4AP3N2oQjBIFy/DmfPQkUF+HC/OwRBEARBkNGBAnqyEAcLZzrV+tOnbasWtDy42MoZe8A3CPGovHoGgEAATpyAkhK4cwc8nvGxFkEQBEEQZMqCAjpD6fbBPSs8sMJDKzy0wQMnVPfHnlY6l63s/HZB+897TPd6fJUheMBBuRUMsrI4EIBjx2DPHrh1CwU0giAIgiDIaEEBnaE8NUWXakIrr4dW3xj+ux1Zcyu05XzfnCLzSwU9i0/515VHVt0I/XQldKMlKhNVIACnTsH+/VBejgIaQRAEQRBktKCAzlDqy217vqzZ93Xt/nk68lc6r27/PN2BuTV7Z1dv/6x639e6/fPqSufqds2qfnquRyYqFNAIgiAIgiBpBAV0hsK1u+tOdtSf0TecNYz4O29sutjZermz8dzQFZ26o7eOk4kKBTSCIAiCIEgaQQGdkcQBIAYQVvyHUzgQBEEQBEHGCRTQmUyC7TUUBkMBjSAIgiAIkkZQQE99UEAjCIIgCIKkERTQUx8U0AiCIAiCIGkEBfTUBwU0giAIgiBIGkEBPfVBAY0gCIIgCJJGUEBnOnGAEEAgDv4Y+OPgH/6fEEBMWQwooBEEQRAEQdIICuhMxwtQDXDDB5ddcNUNV91wxQXXBuEZgENZDCigEQRBEARB0ggK6IwkDhGAboBTTZGtl70b9ztU22yqzVbVzzbVzzbVZqtqq23jPseW856y2rABICQbGQpoBEEQBEGQNIICOkPpjsGJrvCMvY43vrAseqNj89vNO95tKn63qfjdph3vNm15p/nH19vf+dQ8bYu9tD2kj8ptBY0CGkEQBEEQJI2ggM5Qzl33zvjEtHtRbdXRJntNt8PU7+yxOrqsji6rs9vqMPc76nvqT7UeLqx592PD3uMDMlGhgEYQBEEQBEkjKKAzlJLDtn/5XX3NaSP02wG8AAGAIPMXAPACx1luml9+pX7lxh6ZqFBAIwiSCcQl/zGaiNIRoXQ0MrGmLTkIgkxCUEBnKMeP90x/q7q2LRADCACEBX9BgChApy36/ge6zZuNMlGhgEYQJDOIR4JRtyPqC8YjI3+I+CMeR8hmD1ltEddgLJxIkcajsYA77ORCVnvYzkV94ThvV6KIP+JxhuwkwgH5COMhX8Q7EPGEICLc2yhObA47B2PeMO+nmFhy4hCLeT3RgcFYBHU1gkxdUEBnKPVXejZ8+Px9lW3J49idANQCNALUA9QDNALUAdyPwPra+Ixtrll/qL7yMwpoBEEyntig/kHv8s8tp574TERcDgnMSNu5zr1fVc/I1/1levv3m7l6gADIyU9Pj/vOqvr5f6v+y4zGGR9bTtQErCMijLZf6CwpqJ6Rr/vz9PbvVFwdgF88wjhAqPa4vmxjx+6qeNug4PeQx/jQvPyLhrnb7Qfq4yN2Dw0N6u/3LPvcfPyB10jjjoXBaT9a0rdxh7MzEg8L4kMQZGqAAjpD8ZgGqk4bl61p+36FafM2+6YDzk1HXJsOOTcdcm467Np00Ll5O7dkjeX75W0Xd7R2VdplokIBjSBIJhBv77m5uTHvt+1bbnvahxVnzBe01li2rWv7ZkH7lp3mJbMa585vX/4s0OqRlM/Bbsejc4Zvvmldsc64YY3+2/frvj1oO2qJkRhjvpC1xrJ9fdvX89u37DT/9EXj3G/bl1UEWsQjjAMEtcWNW+Y2LL0f17mED3O3aNo//WPFv76u/6pksHvET87GS52f/K69+PJgC92Y3xcIVhuKNnd9u2uwP4ID0AgyZUEBnZEMtbp+47nmywtqN73V/P30jnnT9fPf1M9/Uz/vTf3CNzvWT285+7Wu9Wh9PGAHkBvmQAGNIMjEE402nm3fNKvyT6/oix/4DMPt3IDeWb6y8sOV5oU3wwAQeGg4VFT322X2q41SzVq8Xd22/QfdX3a4n9gBvN7GfTV/+9H42QGPPwYAMGh0la+s/HiFef71MAAEHhmPFNX9dpntcr1ohHGA4NO9LbsWNxc9ije4Bb8H3e23jQVv1Pz5X+tnLu6+PBj7dbgi6Gq5Zv5ymn7P9cG24eSE+j3Go43rjljXP45FFR52hSDIJAQFdCYTDw+GfNYBt6nfUdPFVVgcz7scz7u4Coujqstl6PP2u0JuMhcat7FDECSDCQShxbJuU9Mf3mr42yv6Qw+9HUPNVtBc07v97fp1B52XOQAAcHOVp4wfv9V58IGvW6RpiwIMXl3dtu6Ljh11UWMUIB6MtFo2fGv4ZlF/ZQyiEOrV9W1/u37dAcdF+1CEVWeMn8zoPHDP2yUS4UgBLRyBDrtbbljmvN6xckHDpiP6b66HqvqHfxIR0HFHh/PKosY9Zx0XbCC7v6gIOF6NIJMIFNCZCtOUOiHUFfWZvF6z32f2+8w+X1fIx0Hw10Cy7S4KaARBJpZwr6djd/uOgx2z1hpm5xmO3KcCeqDlruX7l9pKrnjqh6549A+6f3ypdefFgUqRti0MPtv+BR1LZltuDIKdXAlxR77r+GmW+aITBsFjvG/5/qW2vZcG64YjNGi7l7zcuuP8wHMAwaDwCAFd7wGAGDjdj671lpywntFFnDaX/pbly1eNpcfM5571/LjKVt4QCpJbRQR0qKeN2/el/szNwRaAOET7dQ5dubWyw3Prmu3kvq7SAz17bgzeNYQh7G15YC3b21V6qKfkxsCtjgjfLgRBMhsU0BlKHCAEMOCPN7pjl63Rw83R/brogfrogfroL3XRQ43R833RGnfM6YsHRbqEEaCARhBkQgmaqhyl35i0T7qvPuj+Yprhl7vDAjrgqr9kmjXNUFru1Q9pUH9nZc/GVxu3HXeX+wQCOhqC7t5tcw3z5/ZoY3E3AEAUwHVuaVvR58ajRnB4Bjo05i+mGfbd9gxrdL+pukf1WuPWMtddL8T4McYBgk/3DAnopkGAAa/rVscPX9X82yetc04F2kwu823Ll9MMBx8PVFg9Vxbqz5a7n5CYQ26BgPYYGq3Lv+27+TgQACAxb59T/dOB7m/nt/79tapX36r6f+eYvtpntzb1HF3X/MHLla++Ufl/f26cdXDQHcQBaASZTKCAzkji4AWoAPjysv/tH+xfv29a/m7HmnfbVr/bvvrd9jXvtq18t33eu53vL7B+ovbdCYMb5AahUUAjCDKBROu7758yfLHPU9PMtd6yzJ5mKGUEdMMl8+xphtK7v+pdY2XPhlebtp1w3xMV0D29xfP08+f2PIzGXQAAEQDX2cL2NZ93lnWC0zfQcc08e5qh5BZdp+jvrOrZ+FrTtmPucp+kgN75Q0vRE+gzubuvdOS/3TB3t/VkR7RrIA4+V+s185fTDCXlPn006L/RsXR/39yrQQCAmLuZEdAxALDadDdNr6y2X6oNAQBAsPpgW9FH1X8p6Np1fdDg9Fl6rIdWtXzxasN7C7sOlHv0fZ6uKvPab1s/+8p8sSvejxIaQSYPKKAzlGf6cOFR59erDUWF7afXGm8WG+7uMtzeabi903B3l+HWdsO5dcZNSzu+WaFf/Iv9dkNQJioU0FKkv7fC8x0QhDK0q1xYd8JctsW8tzFqd7gMV80jBHTQ1XDZPHuaofQOFdA+4/Oe9a82bTvhvu8XlN9YCHr7iIB+EBkpoGd1HjNJCugNrzZtO+a+JyWg97bu/aFRdcejLjUfWtH21ab+U43hocWCEVeTxvzlNP2emz4TxMBu3f2zaeH6/iYvQHSg7fqQgCbPij0zlR9p/aDMV95JHhOsPNCqml334Rb3LTOJzl+xvXnZDN3bG93Xh64MXFvfsvSL1i01sRZf2vMAQZCxAgV0hnLwmOvff9dyeWWt92EbeO0AboAB5s8NQS70XP9wU+1f/ti0bgtuY5cSsVjQF7FzYTsXttnDnCPiDfPOd4iHvZFBZ8jOhW32yIA38ckIsXAs4A47HSGbPcw5o4Eo73yHZCKMx0OeiNcT9YbFViPFY2F/xO0Mu7wxf4T/U8gfdTuj/nA8ylyFaMwzGPX4YlFAkPEhFPHbDhf37Sp22wAA3E2XzbOnGfaXe/Xkdyqg744Q0EMj0PICWjACLSOg5UegK/a17Zlfu/JI95xPW+d/ZTzYCT203gZdzRrzl9MMe697OgAAwg2HOo+vMexrjvW6BzpvEgFNfoL2k+2nNjZtqYo3DdKYW3YvbtrwFBoHyJXQs9LWvT80rX8KDcNXKve37l3UuPpBTOdMq+8RBBlLUEBnKKVH+n4/rbaz0Q0QBYgCxAR/UYCop8f75l/r12w2y0SFAloSq01b1vbW+7o33q997e2G92cZDtWFR55JE6o72L55dvUbf63Le9tQdNjdARACORHNNdmvLNHN/qTmLzOaP/yy51pXeKhPHLolVH+o4+cvq9/Ir3tlhmHNQVe7ZITxaDjwZG/boR3m0gbo8/N+jIPfXXvJuGRW44JD7vMd8ZE/uaoudBfO7rrcEvz1kPdYMNZn2/lz3+4ydx8ALllCxgFf90D94bpdZ53HW8mFAf0Ny5xpxsOP/UMbKgecdRcFc6CrelRkDrRXcg70t3N7JeZAuzs05lnTDPtue2iECedAVx1oW/tp7ctzu7esa923p+21XwYfdA6/ZjICekiRd9uqbnfP2TvY2Mj1P7B8OU2/55pHDwDgubnauP0rk2Yw3jccc8W+ll2LmtY+itcPzbQLPtvXsptccZEroeelrbu/b1zzMFYn3AMEQZBMBQV0hnLzdPect5/v1Aze5UAP0AdgA7ACWAFsAP0ARgDtAOx7EPxwWs0BlUEmKhTQYkQiNvej3e3rf2z5pMi8qthcvK5j06Lmr1XWkkcBO0AcIO72mZ+Y1ixtXbC4Y/M20/cf1c9d1rmhIdwXEJfP8Rj4jNarRzq+Kmgt2tS5+se2uR80fHfOdaV/aCwrOuCzPDUXLWudv6hj8zbT9x/Xf7PUuL4+1CseYTwa8t1YXrv+h7ZVFWD28n6Mg9fx6HDz+/9W8a/vm5af9jlH/GS/V2r48A/6Q9X+X98H3IOuJ/oFa3pXHvMOjM53CKKQ3jrXwY+efrmgfc6O/l8OdZcdMKwrbH57WuNXSw3brzvumiEQGewotyx8ub1E42kY0rtew8Pun15u2XFh4JnoLhwea+n8jh9nd93ykl04IhDmjn7fUTjLfN4Bg+Ax3rMsfKlt7+VBGqHxUXfhyy3bzw1USOzC8by0VTWn4aNtA3ef9T29ZXxnpunoXf+QmqUC+oZnaKIzhHpauc2r9FeudV0+3zNnmqH0ptcIEbD3Fq+xLFhm74yTD1m/CugibWxYLgcr9rXs+r6pSEvkchwg+Ky0dff3TUUooBFkUoECOkPp1lpPLNJNL+z67LjnWEv0qjV6wxm9zkWvc9EbzqjGHj3ZEZ1/wfeXpb0r3tM9O2yRiQoFtAhRf0Dfs3Z2609r+295IQQAMS88N34+o/XvK/ofA4QAXFX9Vworp6/t21QRAwDucsumFY1/LHJUd4nPgIiGI/UlDSt/bJpW6ukMAvQ6K7ZXT//RsuTc0MRGrrr/6tLKN4t6Nz6NAYDjasvPKxr/uMZRaREdDo5Hw7676+q3rtRvrIQu/uTIOPicFSc7Pn2p+j/+vfHrTda7URg6hDgeB59De6Rz1mvG47qAafiGgN7RfLDxp+POvTU4LRoZJ7rqPds+qJs5vTrvnZppM2qmzah5ZXr1f0yr/sNLz9+br9/4NN4NIauud+ubx27jZAAAIABJREFUDaojzuvkEJNBR/XZzk+nGw/c95rF94EeuLSybe0sfUlzrDMKEA/GDN2bvjXMW9hXEYMIhHpqe7e+2aA65NQQPepx1J7v/HS6cf9dr0lqH+g9Lbt+aN5QAUaIuFv6977TuOkXx0U7RAAg7GYFNLnd3+up311dUtr+TVHXp6/o95f7jBCEx/qf9vV+fsoXjf4aMwpoBJmqoIDOUOKRsMPkuLG7ftds3fK3O775wPTlR5avPjR/9aH5y48sBR+aC9/Wb/+s/tLmWku9Jez3ykSFAlqEeCweith6gv32iG+oRw3HvPY9M5tXLuo+y4EPAu03LD/PaNh4yXOPTGe09mv2GD56z3y+NWgTiTESDrnU85rXfm8qaY/bASDsHagxLfrUsETFNQIABFpvWH6e0bDhgqecjADb+q+XGD5613yuOWgVM1FWQAP4HY+Omz7Pa9+4tL7omHnh3Ugn0R/iAjrWXWE9/13jrlue2zjPEhkvwoEY1xXoNgdMlkCnOWDtsN46bJg5rX3TSe7RQMTmAwAY6HDeKqz8ZI3lx3sRAAg/NZatq/vtj7bL9SGJWGMtZa3Fi+pe3Tf4zAUQ8LUdrP30B8Pf9w16YgAAA3rX7aWVM1dbFt2NAECkovPY+rrf/Wi9qBON8Ndt7NY+jjcFAAa9g5fbF62yzNrvsQMADLQIBDSEgpFW857lDa/9Uffnl/Q7tYG2UMB+pbnkoqO4BoYPIEQBjSBTGRTQGclQIx1x1/Y2qA3XtxpOFhnKVhmOrzEcX2M4ttpwoshw9WdDTZnBUdEF4AWI4TZ2SSHmrcBgq2XZ521LiqyPvBAD97MTpgWvdJRVBtuH7hh4ftK86JW2X576G8VuD9n6N3/Stqqw7/7QYHAw5rQVz2xbuaT3RhDC4K46aVrwcvvRZ4G24QirTpsXvdz2yxN/g5iNvwroKrCEACACVteNCz2l5x2XmyJBjqs4bp71qlF9w1J2p/enInt1TyQCREBzAgEdbNFa98w2XK4KGAEgFrE8s+se2Z+3e25c6FeXdu0/0rvvnq+qOwRBT+X1/qMlXfvL+vbf8z614IJDJEXiItXM3XbVNPP3+v0P/fSrWdTj733SsfSH1o+/Mu4/3LNhXuOCBa2LHvqb3EP3O5sddVqbpiXSM9x8BTr7bpa1vPtJ+0pVV0lx55KPdd+U9u/viJKKHfUEep92LPux9aM5xv2HezZ827RgfuuiB/4Gt/hcKYDgo+LGLfMalt2P69wAEAGHbV9R2ydfGdbf83f3OfTXTH/7Q8f2K4Mtv84AiUHI++Rg66K3qv6ff29XPfBUOQbvF9Xvv+A83UuX/MYBgo93Nm2d27DsXqzWyVz5pn7ZvVjN8JUnu9grCIJMDlBAZz4RABcM2oDrB4cVHFbg+sFtBXCS5WcJQQEtSzwejfr8MWu17emehr8usvx01ucEAD93b3/n5693nmoOdgEAxAG8tZfNa19t3n3L90y4bWDEH2zvXv6xvrDIVgngAwAIh4OOQ7Nb1i3uPt0LgQHHk0Odn71uVDcELMMR1mksa19t2nXDVyGyD+EIAd0TALC7ey+3zfpb9W+/NCy8FLR2c9UnTLNeN57t9D1ucl1aoD+n8+lIzPwR6DjAQOX9/uXf9le0hSMAsbDvdlH9lgV1Px7omftF48fTKl95u/qf53atPGF3NHZv+77x3T8/f+XNqv+rwFJ43ovLDZG0EXQ33+j6/gNTmdZn/PU9NgowWF7c/mNe1bS3an73SuvctbbqoUoEAGC+1H50Y8PMo/7HFqqAg/2tfXs/1H3yWtUfXq+f9o7pcKW/l+6bBzGAwXs72pcMR/hNka2KiXAkcYBQ1eH2A6vbtj2LtwytDwg3n+jYurAx72fn4wZH36OeRR+aDpd7DSPfvWMtffd3t7yT31n6fLCyb+DsD23qa27trxt9xAFC1Uc7Dq5q21oRbx7gX2kaWlYYqinrOLiqdWtFrMmdLkcjCDLmoICeFMQgHoVY5Ne/eAQgqnCPXxTQckQDQWPvjh+a3vtLzfT3motu+yp8ABAHL1e+v3PW68aTTcFhveupvWQuerV5923fc+GbS9Qf7OhZ8bG+sMj6nAroAHdwdsu6xd1n+iAw6HhyuHPW60Z1Q8A8FKFXd9Vc9Grz7ptiinxYQG9ZbVRVQcDM1Rxpe/ftxsXHHZc6Y/0DMRjkHh3pnPW6Ud0S6vZ4nJc65pTaix6GAQCCjoesgI7Hobvv2jnLK0WO550RAIiGfQ82Ny7+UPfygp7jj70ml0ev790+v2nm9KaPCnvOPvN2drs7tJ3ffdryzdLeWw4QH7lDkGSJx4KecF9X2O2LjaxDMR8X6u/0d5r8hs5gry0aZFu3flv9o56lZf6aTroCMB4NRZxdga5Ov6Ez0GkOuwLxKC9Cx4gIA3LNZdzvCrlsIc4PweHZFyF3iOsLdtqjvkA04ov0d4Vd3hi/3ociPmfQ0hV2+mP+SGygL+T2RH0jHhMPCGJWcAVBkEkACujJTSgK5ab45YbYw+ZYtQv6xL63o4CWIxYOW13XjnfvXNG+ubBt8S770aqwA+Lg5+7/IiKg17zavOe2r1JaQC9dY33GCOgDs1vWLu4+0w9BIqBfM56oZwT0FXPRq827b4kpcohHw7476xt2rmrbdNd7bodh1/L2gmLbdVNsaIzMzz043DnrNePx+pANwmDpX7Wic+VehzEMEHA+HhbQZgCIQuhex+lD+g9PBhqtAEMCumHFnKa/7fbUDE279NxaVrfgvcb3t3uqyNRMn/P4dw2F3xt3tUK33EE9CDLGGGwt2r6d2kgrN9GWIAiCDIMCenIzGIgvu+gt+GVwy3nfgbpwrVNkkAUFtCIi3vgzw2czWv++yvYEAIIOrZiATmEEmgjogKiATjgCvbFxx5KGZYd6Zr/XvGhp14l+cJEcjsfBxz08PKSSuwHisWDFlvbDWy0HDHGPy1F5bOinLoB4JFq3r/HIdn1xPXT5h2NeX1+8Sr+5duhKLOK/t7F++6qOzbVkwWI8FvU/UNUXr2hf/ww65RapTg5isbjCv3g8DgDxeBLh4/GkwkOS4TPLnpQfkUIWxAHi8bhT21er6TnfEzcHAWBKZkFy4VN+xFjHn1HhJ7S9QV4IUEBPboK+yM3dzY+Ptdhb+loumHqrHcIwKKCVEYq4bDs+bVmxpOeiA0IDnPaXzs9GzoHWXTavfbV5l9Qc6LbuZbw50CHHodkt6xZ1n+qFgJvMge5UNwZohHUayzoyBzogtCdOJlr8+GnDK/O7f1E1qXYbZhz1ttljACMFdF3ADADxGBj7blzp/arEYzXaGs6YZr1mPF4b7IF4LDZwZq5+9/Ke21FwDcdcvqF+24oOVRVYiFyO+Ms3Dl0xD1+5t7F+24qODc/BNMkFdCQSc7n8DoeiP48nFApFBwaCHOeTD8lxPpcr4PWG/P6IxxNKGDOJ0O8PBwKRgYGA06nEHt/gYDApezwepfY4HD6Hw+/zEXuCSuxhkhz2eILKkxwMRtzugMIs4CXZ1jXYYx4wWf39nN8pnQVeb4gmSv5vOMlKs2BgIBgKRQcHFWWB0xnweEKBQMTnC1MPKLMn6SwgSea4xHeRR7jdCpPsTzLJflLqvF6FSfZ5veFgMKksCIRCUY8npMAev9PpHxwMxGI4IQYZW1BAT25ioWjf425vQy943P46W8AkIpADATh5EkpL4e5dFNBDiBxGBuFQxHl0VvOG77tO9II/6np+vPPbvI5j1UH9UIiBytPmH15p2/9YdNOMQKi/T/VJ+8plfQ9iZBeOUMxl2/Fp28olvdd8EAZ3pdr07SsdZc8DHUMRDladNf/wSlvpI3+9mI3RsO++qmH5161/2zVYo+u+fNLwzmeWa/UhL/AF9PBWG4GmCuuGlfryhz0n9nfNec2org/1QzBm6Vn2nWVVsbMPIDocc/mG+q0rOjZWkiNa4rGIv3xD/dblYlcms4COx6GhwXrlSsuJEzWnTtWdOdNw+rT4H/np1Kn6sjLdgQPVarVcYHrLyZP1R4/WHj5cc+yY7syZBvlbyK9HjtQcOlR94kTdqVP1Suw5dkx34EDViRNK7Skr0x0+XFNWVksjkQl/5kzD0aO1hw7VHD+ewB72EUeO1Bw5UnPsmE7xI2iS5cKTwKdONRw7pjtwoJom+eyFpvMXmy6ebTgnuHc4ybUpJPnECV3CLDhzpuH06frjx3UHDlQdP64oi0kRSsqesrLaQ4eqk8qCo0drjxypOXYsiSQfPKio1NEsOHiwOpkk1x4+XHP0aLJJHsoCqVtoFpw4oTtwoEphLTt5su7o0co7dzo6O10xwcmTCJIuUEBnOnGAMEAwDgHmLxiHsMiRWuIEg3D6NBw4APfugU9iIfoLRyweD0XdruiALzY8bzwU9nL7vmhdu6TnIgd+8Ldcs2yc3rRV431ElhU6rDdLjDPfNp1tDvaJxBgJh5xlBc1rF5kPm8AeB4j4vA2WJTMNP6236wAA/C3XLKrpjVuueLUkQqftdqlx5gzTmaZgr0iE8WjYd2dd/bbVhp914ISg5V5X8VtNP18k20jHwS8U0DDQyj3fVrXtgGHOj+ZZbxhPNof6Q97gvY7Pd1l/uhZgY35BBHQsFj9woHrevMuLF19ZufL22rX3iorKRf/ITytX3pk9+8LLLx9asECzceMDqcDkb/36+0uW3Jw588z775+YPfv82rXl69ZJxl9UVL5+/b2iovL8fPWMGccWLry2atVdmfBr15YXFZWvWVNeUHDppZcOzp9/VYk9hYW3Zs06/957Jz777FxRUQJ71q27t3Zt+UcfnZox49i8eVdXrLgjH54m+ZNPTv/1rydnz76o7BH3Pvjg5FtvlS1adH3VqruyWVC+dm356tV3CwouvfzyoXnzrihM8t//fu6999SffXZuzRpF9nz88em33jq2YMHVlSvlkkzsKSoqnzv3yksvHfzmm8tK7Fm27PYXX5x/7z31zJln16wZynQZe9atu/e3v515662yuXOvLF9+W0kWLF16a+bMs3/9q3rWrPNr1siVIvqIjz8+PX162cKFGiVJXr26fO7cK6+8cqig4NLGjQ+IE+ST/PnnQ0levfqukiTPnHl2+vSyefOuLl+e2J61a+8tWKB5+eWDc+ZcVGbPrVmzTi9bdvPy5dZQCDfiRMYKFNCZjg+gBuCWH6664doAXBuAq2644YFKAKk9Q4Wzv65fh7NnobZ2jG2dRAx4/I86533V+WOpa/gY9CBY+1Z8a1q91aEHiAPYn/VdWFz5jqq/uDYOAAM3WreubPrjcu65+MGBEA2Ha3Y2rPyx+a2jPksEwOas3lvz1veWH056SRNuq+y/uLjy3Y39W6vjADB4q614VeMflnEVJsmTCO+sq9+6Ur+pGnqiAFZX3+m2z5b1/HTO7wOAsEN7iC+gwefz1BjXflv38m/rp71pLGuPmNwDfReaVVcGDzeNiPnFEdB79z77+WdtU1N/b++g3e61Wj2ifzab12r19PUNXr3aunCh5tEj0+BgUCow+XM6/Y2N1mPHdDt2PLlwoclq9XKcTya8w+G3Wj07djzduPFBdXVPd/eA3S4T3mu1ehwO3+3bHfPnX71/35jQHofD39ZmP3euadu2x2p1ndXqSWSPz2bz7tv3fOPGB48emc1ml3x4kuSmJuvhw9U7d1ZcvNjc36/oETt3Pl279n59fZ98FlitXqvV29/vuX1bv3Ch5u5d/eBgkPhBxp7WVvvJkw3btz85daq+r8/jcMjZw3E+u91XWlq5bt39iooui8WdKAu8TqdfqzXNn3/15s32hPY4HH693nHxYnNx8ZMjR2p7ewdJpsvYw3G+Q4eq1627f/9+Z2enk+N8CZPc1mY/fly3a9fTs2cbe3sHEyaZ43z791euXl1eWdnV3e22273Sj/BarV673avVmhYu1Gg0bUqyQK93nD3buH37k7Ky2p6egYRJdjj8R47UrFlTrtWaTCaX3S6T5KEseP68a+FCzaVLzQMDibOgs9Op0bTt2lVx7JguGMR9OJGxAgV0RhKHCEAPwLmWyA6Nd9Mh56Yd9k3bbJuKbZuKbZu22TZtt2864Cy+5FHXhY1i20EbjXDhAly6BNeuwfnzsHQpfP89bN4MZ8/CtWtw5QpcvgyXL8Pdu2C1ip53MNUJhyKttpLCtoWLO5Yd79t7vO/o/q6DO82qE64rjeEhf7o8xnvtc+e1f7XYfPhoz9o5DQtWGFdWhfvISG4cHPX2qgrHzY6YezgD/O1dJ/e2vjNTv2VPz16V4ae/1397ynWue3hXWLen8377t/Pb5ywyHy7rWfdVw4LlxhWV4V6RCdAAAPGo//Yq3abCjrWV0BUEgDD0Wjcubv38R8uOZ0EPZ392pPNvfzYc1QXNzE3g9dzZ1vTVtJp/edl4SB+sNTrvr20sKffdcoyI+c6auk0/tRc9B4sfAABi/rtFdZuWtBc9BzPvyjMwTeYPF6Wlz/fufeZw+BWGr6iwrFx5x2gUWU4gxO0OXL/edvRo7aNH5sShAQDg2DHd3r3PursHFIbX6XqXLbvd1mZXEtjrDT940HnoUPXt23qF8Z8927B377OODofCj91ud+Dy5ZZjx3SPH1sShwYAgBMn6nbufGq1Kp1AptP1rVhxp6lJ7IBOAV5v+PZtw5EjtXfvGhKHBgCAc+eadu2q6OxUeu5fa6t92bLbdXViX54EBIORR49Mhw/XaDRtCuO/cqV1166K5mZbJKLos6LPF75xo/34cd2DB0aFj7hwoam4+LHFojTJbW32FSvuVFX1KAkcCkXv3zcePVp77Vq7wvg1mrbi4sdtbVw0qqjUmc2uFSvuVFQoKnLRaLyysmf//qqysloU0MjYgQI6Q+mJw8neyIwS5+uzur57rUP1VnPx201bZzRtndFU/HbTzzOaFr/a/vZM87St3C+GkFHQ6p45A//yL/Db38Kf/gS//z387/8N/+t/wf/5P/C738Gf/gR/+AP8/vfwxz/GP/kk/vRpLBCIxWKxaPTXP7KQORqNsxdl/uja5zENr9yeaDRB/DGASCQWfGY6uU73H69W/cfrVb9/qf61v5rOGIP9ABCNxSJxgHA47Dz3Y+PXf3n2H29U//tLbUv2cA0ARIhFgtGWIw3FG1o+UwdarDFyE4Cv7Z5F9UbV29Oe/+bl+jc+NJ/VB60AEIvHowAQjkSc539q+mY4wh92cfUAPogD33gAiIUCvntbGndtMBRXg2UQAGKhsP/ZjqbC+c2vbnO2tdnqz1m+ze88U+83Dz1iKF2BStPJoubpH3Se1Hse1dnVC1uOaz3PfBCPxuKxOEAsEvI92Na0e71hW1XcPAgAsXCQXNFvq4qbhq/c39a0Z72huBrMHgAYo8yKpxZeSeEBgHA4Vlr6fNeup52dLiUfc32+8N27+qVLb7W0iJ3XLqCvb/D8+abS0so7d5Sqt0OHqouLn7S22gOBxF17JBJ79Mi0ZMnNhoZ+JZHb7b7r19tLSp5dvdqq0J4TJ+qKix/X1vZ6PIoOZurr85w61fDLL1Xl5UaF795HjtRs2fJIr3coUTOBQOTxY3Nh4a3aWrGZTQLsdt+VK62lpZUaTZvCd4CTJ+u3bHnU0NDv9YYTBo7F4lVVPUuW3Hz+vFtJ5C5X4PbtjpKS5+fPN0WjigTxuXNNW7Y8qqzsHhhQtGEkx/kuXGg+cKDq5s12hY84dap+06aHTU1Wvz9xksPhaFVVT2HhrSdPFAlW8hpZWlp54UJzOKxoysTFi82bNj2sru4dHEyc5Hg83thoLSy89fBhp5LIPZ7Q/fudpaWVJ07UBYM4hQMZK1BAZyjnb3rf/tS0c3Hts8NN/ZXddkM/Z7HaTf12Uz9nttqN/bbanlp164HCmvdnGvep+aNZO3dCVhb8p/8E//W/wj/+I/yX/wL/+T/DP/wD/OM/Dv39wz/Af/tv4d/8ZuDWLXd/v8ts/vXPZHL193vc7kBv7yB7XerPYnH39Q06nX6r1WsyJQhsMrnMZvfwx25vV5dbyS19fYMuV6C312OxuJXY09Mz6HT6bTZpe0g8bbaG6j7to/7qGkfFc+6+1tagdxp73BYST5fLbHY0Pu+vuN9770Fv+X3r81quo9vd2z/IOfyczdtVYTx13PBdie2JzmntdZvNrq4eZ0eLreZh78MHveX3+x4+tjV0OLusHuKcnt4Bs0UkQpNlhG1dXW6n0885fGazs7mmv7baVtPm0ne6urpcJrOzrba/sqL/QTXX0cG1NdiePba1GAd6HT6Hw9fdPWAikbTZGqr7tY9t9R2Oljau/pm1vsXRanITZ/b2DTgc3s4WR4OOozGbTc6Wmv7aait7pbm6v0HHtXb5eq2+/r7EhYF4m3wy7uoaMJsTZ1ZX14DV6nW5Aj09A0pKQnf3gN3u5Thff78nYeQ9PYMmk2vjxgdbtjyyWNxKhvf8/nB5eQYJ6Gg09vixOdME9OnTKQvoxGomGExRQF+7lkECet++5AT0/8/eeYe3Vd2N3+/bvj/avi9vaSkttKUtHdDSAbRQWgqUMkpIgBR4m5ABJARCIBACgSSQkO3Yjlem9957D1m2JWvYlmTtLWtYlixZw9rzSlf3/P64RjjyUkKcOPh8nvPwhOujq++59+rczz33jIyMqyHQUmm8As3hXA2B5nLjFGhwqQJNoUCBhiw5UKCXKTkl1j//Tcip0QCjBQAPAAEAggAEZvzDC6zW8W7tk08JDyfHvmg7fRokJCySbrzR8eST0vPn+Y2NvKoqQTRVVwuKijhZWYySEm5lpWDmn+ZMFRX84mJOdjazoIBdXb1I5upqQWUlv6CAnZs7go+qjucjRUWcCxcYxcXcykr+ovFUVvJLS7nZ2cz8/JGFd15dJ2poFrc0CyvKOTU13PY2UUOtsCZa5EpBVbWwoUXc2i5pbxN3tItbmoS1lYKSYk5e/khuDqv6Au9UMn/7YW5WIb++Fv9qYW29qLld3NYu7mgXt7eJGuuEZcXc7GxWQSG7rIxfPWuHdVWC6lnHMyeHmZc3Ul0trG8WNzWLmmoFNdWCykpBVZWwrknc0iJubxLW1AjrGkQtbaKqcm5B3khOLqu8nIeXFy9Xe5uooUZYVytsaBE31AnrqqcPZmkJNyeHVVLOra0TNNVF9yyoaxI3NYtmbBHWN4tr6wSlhSMF+SP4LAqLnqmqKkFODisnh1Vezo/n4ikv5xcUsLOymKWlvHiuhLIyXn7+SF4eC59SYOFUWyusrOS98UbT0aP9JpMnHrvy+0MkknpFCvTkyhNos88Xl0BzOJcq0KpLEuimputeoAmEJRRoAIBEAgUasuyAAr1Mqag0PLuWIxgNAACCAIQACAMQmvEPfKnbcSv67w381LTYnnBFReA73wH/8R8LCfRf/mI+coSRkjKQmjpw6hQtmjIzB3fsaH3yyaKPPybM3D5nSk2lnThB/uCDzjVryrZubUxPp6emLpQ/PZ2elETZsqVx3brqN95oOnaMnJ5OX/grMjMH33mn7ckniz74oDMpibJoPCdPDuzdS1izpuyVV+rT0uhpaYvkP3Kkf/Xqso0b6xbNnJZGS06m7t7duXFT7UsvVu3bQT/46cjuRNqJFGraPB/JyBj84IOuNWvK3nij+eDBvtRU2sLHJy2Nfvw4+dlny9evr0lNpS0afEoK9aOPujdtqnvhhYoDB3ozMgYXPj4ZGYMffdS9dm35li0N+/f3LBxPRgZ9//6e9etrNmyoff/9jkWDT0+nJydTX3ih8sUXK48c6U9JoS6QPzWVduoU9dgx0htvNP/zn8X79vVkZi4SfHo6/cCB3s2b69avr3nnnbY4DiYtJWXg//6v6uDBXovFG8/aClCgFwUK9MJAgY7nI1CgIV8BoEAvUwRthsSXWetTrQeGI/1BIABACoAYADEAEgCEAFBRkCLAXjrreP1RTltqrECTSGDtWvA//zO3On/96+D3vweZmWGHw2ezeS2Wi5LbHWxpkX70UTePZ3Q6AzF/jUlWq0+vdzIYumPHSBUVPLvdPzXlWyC/3e43GFxVVYILFxiNjWK12o73tVggud3Bjg75xx93Dw/rrNaFdo7HMznpFgiMR4+SCgvZi8bjdAb0eueRI6TsbCY+pf8CmaemfJOTHipVW1DAPn16SCyw2myI0ew1z/8RlytIJmuOHiW1tMhkMqvV6rNaF4of78xw/Dj5wgUGvi7AwvGYTB4WS19ayj11iioQTLpcwYWPj8sVpNPHk5IotbVCPt9otfoWOKROZ4DNNmRnswoKRshkjdXqW/hgOhyByUlPSgoFH6602Jny4n14Wlqk+/YRmEy9271I8A5HQCg0lZRwc3KYBMLoovHY7X6TyXPmzNDZs0Pj4454bu1QoBcFCvTCQIGO5yNQoCFfAaBAL1PcGherWv3J0dEPjo6nnZ9KK3WkVTrTKhxpFY60SmdauSM9y7YvUf/+wdHGDLmOGXuz1+lATg64/fa5BfqGG8AHHwCBYN5vHxwcP3q0P86JAjAMU6ttp08PEgjxDsHu6VFWVvIHBjRxTtI5MjJx/DhJqZyKc/+Tk+7TpwdbW6XxZA6FIhkZg3V1c62OMhcymbWxUVJaynW64prYQSaznD49RKNpnc64bhUAgLNnh6uq5j89F6PVOtraZLm5LKs1rsky1GpbVhazt1c1Obn4rAgGg7umRtjYKJZK45oSAQCQl8cqLuYgSFyD31E0QqONJSYO6HTOePJbrb7WVllNjZDDiWt+AABAWRkvO5s5NmaP52KDAr0oUKAXBgp0PB+BAg35CgAFehmD+dX1ktZd3ORnpR+sUb7zrOrdZ1XvPava+azq/WeViWtkdTv4shJBxG8BYI46USYDjz46t0D/8IegsxMg898uyWTNp58SxWJzPDcktzvI4xmTkylxCiuCoC0t0vz8kc5OhdM5zxS2S7o8AAAgAElEQVRuF0Onaw8eJHI4E3GO4pfLLcnJlDid2Gz2njxJqajgx5MZRSNstqGsjJeTw4pHQAEA+MHp6hqN84HE5QqmptJKSrjxZI5EMLHYXFUlOHNmSK+Pa/8SiTkjg97cLFGpFp+pTa22FRVxysp4bHZc9oCikfPnhy9cGDabPYve2jEM2O3+ri7F4cN9cT4d6XTOqipBURGbTtcunhuASATLzWWdPTus1cIW6LmBAr0wUKAXBQo0ZGUCBXo5gwF30DfpNKsmDUz9BE1nGNSZh3XWIZ1tRO/SGAOT9og9AAA6e2lqAIDTCQ4fBnffHWvPN98M/v1voFQu9MW4QEskcQm0x3N1BLqXwzEshUBbLJcj0Lm5lyTQ1PgF2u2+OgItjV+gy8svVaAZSyfQ1dWXJtB5eaxz56BAzwsU6IWBAr0oUKAhKxMo0MuR6E1AP73coB9E3CDsAhG3M+hV2r28SR/bg6gAWMDgUBQMDYFNm2IF+qGHQFkZcLsXCuASBRqBAr0AuEB3dy+VQEsk5qoqwdmzy0igs7IYFgsU6LmBAr0wUKAXBQr0wkCBhlwdoEAvUzAMWHxYuQylTnxRP9oQUKOOJDPQI73oIUL4vCDc50atoXmXEoxEQHo6+OY3LxLoHTuAyQQiC9a6UKDnAwr0wkCBXhQo0AsDBXpRoEAvDBRoyNUBCvQyhWECe1uDmzapq/KmB28p/OAMBzyzU//6RknhbkHJbv7uLbJnthuTKBh3/ubk3l7w3HPT03F87WvgD38AubmLfzsU6PmAAr0wUKAXZcUKtFoNBXpuoEAvChRoyDIECvQypZbmefrD8YyPZeKeaYHu5Pg3Hjce+kDalCwV1aokdcqOdMXx3aMbDk2UDcxrciYTyMsDP/oRSEgA3/oW+OADwOEs/u2XJNBud5DLvRoCzWYvh0GE2FIL9OUNIrxUgW5qimsQoUp1dfpA9y+pQJ89Ozw2Zo/n1u7zXYWVCLlLvZR3dvYlCTT/8lYi7O+/NIFWKuMS6MteynvpViIcGbkkgfYTiZe8lPdlC3Q862uCS1/Ke7mtRCgSmS51Ke/cXBYUaMiSAgV6mVJYZnxiFWucMw7A9NxkBeXGx59kTrSPAo8NgDAAKAg4gjTVC88xj6fGygSGYeFwBEHCAETUavDXv4KEBHD77aCjAwQCAABs9rjDUAhFEBRFMTBDoPEbZCSCzb4zhcMRXGdnt0BjGIjJj6KRYDCM305CoWmB7upS4DcMbJov8kciWDAYDoWm7w0xs3BgWGyvlXA4giAoXncHg2GFwjpToGcH/3k8GADAYvHFCHQkErvmBh5PJILNFGiTyfN5MBdFj2FYMBiOTprG508LtMHgnjOeSAQLhdDos4HbjcwU6Jgjg+ePFhbDMInEXF0tOHNmCBf02cFjGAgG0Wg8s1ugYz4wMx6Nxh4j0AvHg6IYLtAWixcvZkw8GIaFQhEEQfG/Ohz+7u6LWqBnX2wIgkbz6/WuGIGOyYxhIByOBAJhfDuGTQu0VuvAj8Cs/PgvBcUvzkDgohboSGRWaS/+pZhMnhiBjr2UwXQ8eH7weQu0QmHFj/Ds8zWzyCiKxbRAzz4+0SIDAKamYgV6djzRIuP/G22Bxm1ygSLj32syfdECvfApiBb58y4cdtxmZl8SeDy4CyIIOjT0hUAveAoieJGjAo3nnF1kFMXjma5PcIEWi6dboBcuciQCOBzjTIHGsIVOgdMZIBJVnwv0F/HMWWR8a1OTJD2dPjIygdvkPPFEgsHpq85m88e0QM9Zxc0s8uct0JYZRY6NH0FQvMoNhyMzBXr28QTT9f/0KXC5vmiBxk/i7CKjKBYIhKO6HxVo/LFtviLjpwDDYlug5zwFeJEBAF4vLtAjVVUC/Dr/vJYGEMgVBAr0MqWg1PDIGg5/whvdkl9seOSfbKPyolbGsM3//Dre0ZSxmI+73UG53NrdParRWBAEHDgAHnwQPPMMGBsDAETsdr/PF5rZdBEKRVgsPY2mxT2GSh3bv79ndHTaaaxWn8MR21QslZqbmyVTUz4EQeVya3IypaVlWqD9/pDV6p25f5XK1tYmGxuz4//b2irNy2N1dSmitxyPB4k2XYRCkclJT1ubnM2enuuXTtceONAjk5nD4YjXG3I6g37/F613kQg2OjpFp48PDenwCl2lsiUlDdTXiwAALlfQ4QjE1LZjY/aODrlSOYXXucnJlLIyXvTbjUbPzDmDUTRisXg7OhQjIwYAgEhkqqgQ5OQwp6Z8AIBgMOx0BmY2ZXm9oe7u0cHBcfx/hULTyZMUAmHUavV+Ho8/emPDMMxk8jAY+q4uhdeL4AGkplJxgfb7Q05nAHf36P4nJ91ksobFmsAnflYopnCBxoXeZLooeDxCIlFJo2nxncjl1vR0enu7fHzcAQBwOAIz3wNgGJia8o2MTHR0yP3+0OSku7iYW17OxW0GL6zfH5oZj9XqpdO1DIYODwDvwoHvMxLBJic9M98bOJ0BHs9IJmsUCisAIBAIEQijn33Wq1ZP27zd7rfb/TPiweh0LZmsMZu9AACz2VNdLSguZjMYOgCA0xm02S6ajTsYRMVic329GM8PAMjJYZ4/P2w2ewOBsM8XcjgC0QczAIDbHRSJTP39arF4usmZQtF88sn0xW+1en2+iwqLYYDB0JNIGvxxxW73NzeLc3NZuE1GIpjbHXS7kejFHw5H5HJrfb3YYJj+5RYVcU6fHoyW12z2zG4UpNPH+/vV+AXG4xn37u2OCrTDEYiZ8DsQCEkk5sZGidXq8/lCvb2qnBxmZ6cC/6vXG3K5gjOL7PEgQqFpYEAjl1sBADU1wtOnB4VCE35NWixeny8UoxpMpq6vT2U0uvEi19WJCgs5uM14PAgeZ5RQCFUorA0N4ugrl5ISTkYG3Wh0B4Nhvz/scARmXqI+X0gms5BIaj7fGP26/fsJQuEkfgq8XiTm98vhGPr6VGNjDjyA9nZFbu5Id/dotIAuVzBan0QimFptr68Xa7UOfEt1tTAtjS6VWvHdms1erxeJaVNgMvVEotJs9gAA5HLr3r0EFkuP/wlfrmjmIQoG0dHRqYYGicHgDgZRMlmTmzvS3CyNngKnM7bIEomZQhnDT2trqyw9nc7lGvA8eJFjdI/DMRCJSny6dK8XaWmRFhWx+/tV+N6sVt/M7OFwRKOx19eL1erpKhcX6LExeyAQDgbDdrt/5q8yEAjL5VMkkmZkZPohQSCY3L+/h8nUAwCmpvweDxJ9HIpm6O1V4fsPBsM9PaO5uazoLcDjQZzOYLTIGIbp9a7GRnH0ntLSIk1JoQoEJvzKtFh8Hk9skXk8Y0+PEv/hjI879u/voVDGovs3m70zr4pQCNVo7I2NkrExRzgcGRzU5eePVFUJ8H36fNMVKYBArhxQoJcpxHrDtrUjRyvsbWNgDAAnAESa6eh+QeNIQB0CEQDcAEgBqOeH39nIqzwX+/o4GAxrNPaqKgGRKFOr7dXVgZSUcEYGMjxsGRpSdXUpJiZcMwU3HI5IJJb2dnldnchgcJFImqQk6ujolFbrIJHU/f3q6P0+yujoVGOjuLdXJRSa5HJrdjartVVmNLr7+lQkklqjsc28Yeh0zo4OeW2tiEzWSCTmtjZZQ4O4r0/F5RqpVG1np2J83BHNH4lgVquvo0NRVSXo7VWZzR4qdQxvPhkdnerrUymVtpmvmyMRzGh0k8ma0lIekaiUSs0q1VRWFrOhQWw2ewYGNDyeMab2NxhcBMJoU5OExzNarb7z55m1tSKHIzA8rOvrU/H5kzM7R2IYZrf729rkLS1SHs/IYk20t8vLy3kCwSSHY2hrk0kklpnvXv3+MImkrqkRdnYq1Grb4KAuK4tJo2lFItPwsK67e5THM0bv7hgGXK4gvppga6tMJrPa7YHsbFZVlcBu91OpYwyGzuO5SCBsNv/wsK6mRtjUJBkZmeByDV1disJCjkhklsutFIom5mkHQVAKZay2VtjeLpfLrQyGDm8+5HINLJZeIJjExSgaj9eLjIxMFBdzuFwDl2tsaBC3tclotDE+f7KrS0Gnax2OwMzj6XIFOBxDTY2wv19tMnny89llZfzJSTeXa+zrU1EoYzPj8flCo6NTDQ3i6mrh4KBOq3VQKGOpqTSBwKRW27u6FCyWfnJyZjwYl2tsbpbW1YlYLP3IyERbm6y5WYL738jIRPSWHL2SFYqpmhphQ4N4ZGTCZPIUF3PLynj4eplDQ+N6vWvmW91AIKzR2JuapJWVAhpNOzHhGh7WJSVReTyjRmMnEEb1eufFrxeASGTCF3MZGhrncAwEwmh9vainRymVmnt6lCSSxmTyRoUVwzCNxl5XJ6qvFzEYOqPRXV7OLy7mKpVTPJ6RRFL39irxB4+ZcDjGlhZZR4diYsLF4xkTEwe4XKPB4CISlYOD2qgIRossl1srKgQUyhifPxk91wqFta9P3d+vNhjcM3+MgUAYF8rWVpnB4KqvF5WUcMViE49nHBjQEAhz9DUSCk2trdLaWuHwsI7DMXR0yJuaJH19KvwUSKWWmNdHnxdZPDysM5k8lZX8ggL2+LhjZGRicHB8fNw5s/sKgqA6nbOtTVZRwR8YGNPrnRyOISmJymTqdTpnd/fo2Jg9Rq1kMktHh7yqSkClajkcQ2+vqr5e3NmpkEotfX3qvj5VTJF1OmdDg7iuTkSna41Gd12dqKCAI5NZBYLJgQFNT49ydvcnodDU2iprb5ePjzslEktiIoXB0JtMnt5eFZWqValsM0NCUUyttldVCUgkNZ8/SaNp6+pELS1ShWKKTNbg4jvT3hAEHR93NDdLGxslExOulhZZYSFHKJzk840Uylh3tyLmFONFbm+X19QIaTQtl2skEBTNzRIiUSmXW9lsg0hkuvgxD9PrnQ0N4tpaEY2mNZk89fXi3FyWSmXjcg10+vjYmH1mFRcKRSYmXF1dirIyHomk1umcIpE5KYlKpWoNBjeBoFQqp2KeYZTKqa4uRXW1gEzWcLnG/n41fkXJZBYyWdPTo9TpXDOLPDnpbm6W1NYKBwY0BoO7pUWamzsiFpsFAhOFMoaf5TmL3NIiVattSuVUUhKVQtFarb7+fvXAwJhCMTWzFopEMJ3OWVMjIhKVfL5xaEhXXy+uqxPJ5VYqdXr/8XRfgUDiBwr0MkVPN1e+z33uVfXr5x2VqkiXG9CElq5y2dZsWzIVkQawwUAknRfanuco+kioaJmjp1ogECaTNU1NwrY2cV2dqq1N392ty89np6RQzp0bVqvtMe1qoRA6NKS7cIFJIqlra0UpKTQ6XdvQIP7ss96KCj7eWDUTjwcRi80FBSPl5XwyWXPhArO8nE8kqj77rC87m6nRXNTlFEFQlcqWmTmYlESprOSXl/Nqa4VNTZKiIk5qKi0jY1Aut87sL4iiEbXaVlrK27uX0NOjbGmRpqbS+vrULS3Sc+eGBYLJ2aN/RkdtpaW8EyfIxcWcoaHxrCxGURGHQhkrKeGQyZqY2j8UQsfHHYWF7PJy3vCw/syZ4dJSHoOhP3aMlJZG43AMMftH0Yhcbu3okBcWspubpfX14oICdn29+MIFxqFDfUymHm88xolEMPzN/t69PbjJXbjAJBBGGxrEycnUzMxBMlkzs0UQAGAyefCuwFlZTA7HcOECs6CAPTQ0npvLam2VeTxITIug3e6vrRUmJ1MzMgZbW2XNzZLcXFZbm7yjQ97cLIlpocQwYLV629pk+/cTy8v5+K20rU3W2CjOy2NRKGOzO3MbDK7OTkVTk6S2VlhRwW9oENfUCHNymCdOkGtqRLNb9N3uYGOjuLycR6WOnTvHKCrisFj6M2eGkpIora2y2S2UZLLmzJnhEycGCARlZ6ciLY1GIChraoR79xK6u0ctFu/M/F5viEbTHj9OPnduqLycV1srqqkRVlcLamuFHR1yiSS2s7LHg/D5xqQkSkoKlUrV5uayCgvZg4Pa/PyRykq+TueMaaFHUWxwUHfhAuPIkf6enlECQZmcTG1vl3d3K/LzR2Z3zg4EwkymPilpIDNzsLSU29Qkqa4WVlTwy8p4x46RCgrYk5MX9f/2+UJisfnUKerJkwNksjovj11YyKHTtdnZzJMnB8rL+bNXYXS7keFhXWbmUE+Psrt79ORJSk+Psq1N+vHH3fX1Ip0u1q4cjgCDoa+tFZaX81pbpZWV/LIyXk2N8PhxcnY2U693xfSURVGsr09dWSno71cXFrKLitgDA5q8vJGkJEpBAXt253i/P8Rk6k+eHDh9erC0lFdXJ6qpEVRXC+rqRG1tMj5/Mub6xIuclkY7cWKAQhkrKGDn5rLodG1REbu0lDs2Zo/pmYphYGTEkJs7cuhQf0eHvL9fnZxMa2mREonK3FyWRBK7CiaCoDye8dQpWloarbiY09QkqakRVlTwKysFiYkDWVmxRQ4EQnK5NTNz8OhRUl+fqqiIk58/QqONFRSMnDw5UFTEmV1krxfhcAxnzgx1dSl6e1VJSdTOTgWBMLp3L6Gigh8j0AAAtzs4MjJRWyssKeG2tckqKwWlpdy6OvHJkwNnzgzN1QUfo9G0lZWCvj51cTE3P589MKApLGSfPDmQm8ua3QU/GAzz+ZMpKZT0dHppKbehQVRbK6qqEtbWiltaZGz2REwbAT4U5MyZoSNH+kkkdUkJNyuLSaWOlZZy8fLO7oLP508WFrIPHepraZFSKGMpKdSGBnFfnzonh8XjGWNOcSiESqXmjAz6qVO0wkJ2c7OkpkZYXs6rrhYkJQ2cOTM4NuaYWcsFg2GlcurCBcbhw309PUq8FxyVOlZczElMHMjPH5ldZL8/JBROnj073NoqI5HUycnU1lZZf7963z5CURFHobDGFNnnC3G5xvp6UXExp61NXlUlKCriNDSIU1Koqam00dEp2B8acmWBAr1MwcKhKc1UV4bg3Ov8z15S7towvumtiad36R58QfTI66q1B61bXjMkviXryhRMSs2R4BzjMDAMb2qyNTaKX3ut7rnnSnbubKmo4HE4BqPRPWdV4veHNRp7Q4N4167WVavy9u3rLi3l0enjJpNnzqEqfn9ILrdWVPDffbd91arCnTtbmpokTObExIQrFEJjKlwEQScmXFyusbFRvG1b0+rVZa+/3lRaymOzJyYmXLNr83A4YjJ5WCx9U5N0796uVavy3nuvvayML5NZZtrqzPxTUz4GQ1dSwt2/v2fNmqI33mioqxOp1fY539whCDox4ezpUR47RnruucKtW2uKizkkklqttgUC4Tn7/BmN7t5e1d69hOeeK1+7tiI7mzk4OK5UTs0W3EgEm5ryCQQmIlF19Gj/008XvfZaw6lTNCJRibf9zM7vcgUFAlNLiywtjfbiiyWbNlVlZ7M4HONsWwUAoCjmdAZkMktrq/TAgd4XX6xas6b0/HkGnz/pdgdn549EMLvdLxabSSRNYiLl6adL1q2rTkqiDA/rbDb/7MLi8fD5xrNnh9aurVi7tuKTT3q6uxVSqcVm88fct/D8eMeA/PyR9evLX3qpLDFxoKFBLBROulxzxBMIhMfGHASCMjNzaNu2hmeeKUhKGiAQlAKByW73z+7d6PEgarVtcHD87Nnhdetq1qwp+/hjApmsmZyc48rEMAxvZKVStWVl/M2bq59/vuTAgd7OTsX4uHPOQU7BYHh83NHXp8rKYr79dvOqVXmHD/f29aksFs+c+X2+kFbrwJ/TNm2qW7OmdNeujs5OuVA4OfvHgmEgGAxrtY7BQV1VleDVV2ufe65k//6e8nI+h2Ow2/1z/rjc7qBEYi4p4b7zTsuqVXmHDhGbm6Us1oTF4p09NA3DgN8fksksJSXcV19tWLWqZMeO1tZWKY9nNBrd8xQZf+Ut3rq1fvXq4g8+6Cou5uL7nzO/14uMjdkZDF1ODnPDhtrVq0vff7+jt1dpMLhingYvLvJ4VZVg69baZ58t2reP0NIi1WjmXlMdrx/wzg/vvde2alXep58SurtHjUb3nPn9/pBO52Qy9fn5I6+91rB6demOHS2trVI+f44iYxje6OscHtbV14veeKNh9eriPXu6i4u5TKbeap23yAqFtbJSsGtX26pVufv2deFt6vNcdSAQCI+OTlVVCbZta1q1qmTbtqamJgmHY9DrXfMVeXzc0doqe+utpmeeKdq1q6OggD08rDObY3thzSwyi6UvLGS/+mr96tWlb7/d1tWlmP1MGC2yTuccHtbV1YnefLPhmWcKP/yws65OpFTOYc8AgFAINRrdFMpYYSHnww87V63K++ijjtZWuV7vmrMKDQbDBoN7ZGSipIS7bVvT6tWl27Y1NTZKuFzDxERsSHgbjV7vYjL1TU2Sd95peeaZot27O/PzR4aGxs3muX9ofn9IpbLV1or27OlctSrvww/ba2pEg4Nag8E1Oz8+2EOttjc0iN96q3XVqtLNm+tra0UjIxMxLz0gkCsCFOhlybQ/hB08o7BK3XlKVXVYfeGE9tQp7elPBGkHxacSx3IPasjnVRa6DmALjWIOhSJ8/uSePe2bN1cdOdLLZk8s/BorEsFEItOpU+T160vPnRtkMvVO50L7RxCUydSnpFBefrny+PE+icSy8MD2QCCMj6fevLn+k0+IDIZ+4ZmkfL6QVGo9c4a+bl3ZqVOU4WHdnLeWKG53kMnUnzs3vGlT1cGDBD5/cuGB8BqNvbyc9+qrVXv3tg8Ojlut3gVGmmAYGB93nj07vHVr4+uvNxGJSofDP19m8PmL0eJi9vr1VR9/3N3YKJnZOWE2CIIqlbaGBvHrr9d88EFrf79m4VH5KIqp1bbc3JHt21teeaWus1O+aP7JSU9FBf/ll2vefbe9uloQ0zYcg8sVbG2VbtvWtG1bU1YWc3zcsfDBxGeP2rmz8c036/G3Fgt3OjQY3G1t8k8+IWzYUFFdzdfp5lCxmTgcgc5OxTvvtL36asPp00OLzmpitwcYDP3u3a1bttTm5bGUyqmFhxGZzR4iUXXkSO/69WXFxezx8diG4RiczgCRqNy9u3Pz5vrkZIpabVt4CgKXK8hmG/bs6XjllZrz5xkcjnHhiz8YDNPp44mJpHXrSvPzmXL51Myu/7MJBEJ0unbfvp6NG+uOHu2PjlOcj3A4IhRO7tvXtXFjTWoqncHQz/loGlOEvj7Vrl0dr7xSn5JC1WpjO1fMzs/hGPbu7XjlleoLFxgSiXnhS2hqykcma06eJK1bV5qTw4h24Z0P/JLbu5eweXNcRfZ4EKFw8tNPCZs2VWdkDDIY+oXnHgmFUCZz4tQpyrp1pefO0cVi88L5EQRlsSYOHiRu2lSLj8NetL6VSi2HDvVu2FCdlESh0bSLzkrh8SA02tiePV2vvFJ/7BhpdueKGNxuRCAwHTxI2LixMjNzkMebXHjiDrvdT6ePp6VR160rO32aNvvdYww+X2h4WPfpp8TNm+s+/ZQoFpsXVlWvNySVWo4e7duwoSolhUqjaV2uheZiQlGMy508c4a+fn1pWtoAnz+5cC0XCkUEgsmjR0mbNtV9+GEXjzfH60oI5IoABXr5EwLAATwWoJkAvDEg0AKeFgi1wGgAiHfxTwMQDkeIRGVjo4TJ1Mc5ioLHm8jPZ6hUU7PbGmeDjwEqK+MMDo7Fs/NIBBsY0DQ1SWg0bZxVm0g0mZ/PkMnMC9szDoKgarWtvJwzMBDXzGJTU76KCg6RqIgnMwBAKrW0t8sbG8UL23MUlWqqrIxDo2mjw9oWxu1Gqqp4XV2yOMeMq1S27m5FTY1wYRuOotU6Kir4/f1qvX4RQQQAGAzu1lZpR4dMKo1rWjcMA01NosZGodXqi2fQu9MZGBzUFhayZvbDXgCLxdvdPdrcLI0OOFuU9nZpfb0wptP/fPj9IRZLn5/PmN1NYk5sNn9/v6qhQRwdYbYoXV3ymhqBWj13Q2wMoVCEzzfm5Q1rNIvPOQgAcLmCg4Pa+npRnNP8AQB6e5XV1Xyp1BJnE53d7u/pUTY3S6MDzhalp0dRXc0fH49rKu5AIMznG/LyGCrVIuqG43IFKZSxxkbx4GC8Re7vV1VW8hSKOKfixqRSc17esEwW25NkTrxehMHQNTSIyWRNnPFQKJqKCr5IZFr0AQbH7Q6SSOqmJkmc08wBAMhkVUUFV6WyxXMLwLtn5OUxxOK4Jk/0+UJ0urahQUIma+Kc6oJGGysv50okljin4lappvLzGXy+IZ6dBwJhNtvQ2Cju6RmNc2ZDCOQygAJ9XYACLAxCIRBAQBD/LwLQEABxzQAKPh+W7vfH9hyYj0AgbLf74pzRE8MwBEEdDn/8D/r4zAA+XyjO2jYYDNvtvniEAycUQh0Of5x3o0gEczj8cU6CCwAIBlG3Ozhnz4Q5iR6cOCeFxTDM6Qx4PHHNCAsACIVQjwdxOgPxPO2A6YMT8HqReIQyHI643UG3Oxh/90GXK+ByxRtMJIL5fKH5ujHMBkUj+MUc/wtZtzvodAbi3D/eF8Jm88WZPxLBvN7pH1ec8Xg8QaczEOePCwAQCIRttnh/jPjxxH9ccceDOJ2BYDC2z9UCX/F5fRLvKcC/YuHXC1HwvhBLWmSvF8FnAomzyAiC2mw+BImrvBiG+f0hlysYZ/0TjScYnKPn2JxcxlXn9SIOh392z7r5QJCwzeaLs8EFw6ZPQfxFxufDCQbROIscCqE2my/OXz1+CblcwfhrdQjkMoACDYEsIVd55tFFv245z4S6nGODQCAQCGQmUKAhEAgEAoFAIJBLAAo0BAKBQCAQCARyCUCBhkAgEAgEAoFALgEo0BAIBAKBQCAQyCUABRoCgUAgEAgEArkErp5AY1jEYJDY7fHOlgq5gtjtOqtV7fHENa8qBPJVwmodM5tHw+F4pwWEQCDXOx7PlNWqstvHr3UgkKsNGg46HAaTWRHwL77QwZfkqgl0xGpVNzYcplAKHQ5dMOgJhWLc0ooAACAASURBVAII4oNpqVMkEvZ6p6jUfAIhhc2ud7lMKBq+5lHBBNNVSCiKBAIuIvF8R0eyVjvi9U6Fw8H5MgeD/uASgyAIgiCL5QogiP+aHzqYYLpOE4qGXK5JLreJQEimUnN8Pju85V2nKYD4fDOSH/H7EJ8X8frm3e4Posi4jkejFXR0HJfJSeEIOvsj/pDfh/i8QW/MTvyI3xv0BkPBCBbvChtXSaD14yONNR++/cbtn378++qKNwndSX19p4nEdJiWNPX2ppNIZ1pbD3/88Z3bt3/zs8/ubG7+lEw+f80DgwmmpU69vRk9PSn19Xt27fr1m2/+IDPzyZaWT0mks7NyphGJ6T09mR0dBU1NzU1NLU1NzU1LQEdHB4FA6O7ubm1tbWxsnCtLc2Nja2trNYFwnkjM6O1Nu+bHECaYrrtEJp9vbv7k0KFfv/nmf3/00V1tbYf7+0/39l77wGCKM/UR0/uI6d3E9GJi+iliehoxPY2Ylt6bfoF8Ib03/UTniaTupNSe1HRiehox7Uz/mXOkc8mE5BNdiacIKbmks2l56/Z+cMuObf+ddvbFmoELJzqPnehKTO9Nx/Nn9GZkU7JTe1KPtB9J7UlN701PI6alEdPOkc6dJ50/1Hiojlk34ZhAI3Gt4nSVBHpcxy4uf+fxZxM2vn5TUekWCiWLySgfHCyCaakTg1HR25u5b9+d27ffcPTobwmEFBar+ppHBRNMS52GhkpotLz29qO7d9+1ffstFy4839NzisGomDMznV4yMFBPJPYSiX1EYi/xitLX10ckEouLizMyMk6fPt3U1NTf3z9Xxl4isb+/v4NGq6DTi6/5AYQJpusxsVjVBELysWN/2L79G3v33tnbm8FglA8Owh/UdZOGBouGBouog0VNg0UFg0VF9KKy4bIyRlkuNfejho+2lm5NI6YV0ApKBkvKGeWlQ6UZvRlbS7Z+WL8neyCrllGRXbbt0L6fHNh1W8rZf6W3H367csfRjmOlw6VFg0XljPLS4dJUYuquml1vV76dPZBdOlxaPFhcyazMo+Ud6zj2av6rBZQCq8caZyP0VRJonVVV0Zv5/M473jjyt3ryWaN51Oe1u1xmmJY6+XwOi0XZ2LivpGQLgZA8OSnz+ZzXPCqYYFrq5HZb3G6z0SguKnojK2vdyEi1yTTq9dpm5TTh/3A6rY6lwePx2O328vLyPXv2fPLJJ2w2OxAIzJnTbnc6HPbPozJd82MIE0zXXfL5nEajtKcntbj4tcbGjy0WpRfKxvWW3C6zy2WecplMLpPJZXL4HCaXiTpKPd13+kTXCZ6eN+matLqtDp9DYVK08lsPtBwoZ5SPTWmnvDaRpKej5WBj1TsVHUfzaPnnyOcHFBSb12bxWOw++9jUWBWrKpWYmkfN01g1dq/d4rbYfXbmGLOAXpDYmUiSkzAQ76K4V0mg++Wkw22HezgdxeS8U93JaosGjaBYJBKJoDAtacKwCIoiTqfRbte53ZZwGMEweNhhWhEJABAKBQYGskmkszabNhwOYBi24EeWBABAJBI5f/78Cy+8sGHDBi6Xi2+Zn2t/6GCC6TpNGBYJh4Nut8Vu1zmdRhSFt7zrNaERFO9KgYQRpVmZRc5q5jXr7Dp/yA8AiGARL+IlSAjnyedHxkasHms4EgYABBHf6IQwm5h6mpjazG/V2/XBcBDDMACAyWUiyUm5lFySnOQKuEJoCAAQjoQVJkUdu66AXqC2qpEwEr/ZLrlAhyNhjVVTza69QM11BL2cCWEWNY8gIU44jUv91RAIBMJglA0NFXu9UyDudoUrDoqi586de/HFFzdu3Mhms69VGBAIBHJ9EUJDwglhM6+5idc0ah6Nbnf4HCQ5qZ5dT5QQvUFvdLvWrifISXlDJS3CDpVFHd1u9VgHFAOVzEqynGxxW6I7V1vVTbymBm4DW3vJNfOSC7TNaytnlFcwKjjjHDSC2rw2koyU0ZsxoBhY6q+GQCArHAyLUCi5/f1nbTYtil5C08IVjQGzWq35+fk7d+7cs2fP4OAgglybSCAQCOQ6IhAKKEyKCkZF1kDWpGsyut3us7PGWGnENIKEEAxNT1EaQkNGl7GF35rZd5og6THOyO/0O3ulvUWDRfXseh/iwzdiABs1jzbzmrMp2SPakcsIb2kF2of4hHphYldiu6AtOqpROzV2vON4Nava6Xfi7eoQCASyFGBYhEqNCnTomsTgcrmYTGZZWdmZM2eys7NbW1tlMtk1iQQCgUCuF5x+J1vLPk8+38Rr0k5p8R4XaAQ1Oo0t/Jbz5POMMcaUdwrPHAgFZEZZzkBOHbtOZpI7/c7oQMBx2zhBTMgeyCbJSZ6gB98YDAd5el4Fs6KAXqC0KC+p50aUpRVouUlePlyeR8sT6AXRje6Au2y4rHiweFg9fHlBQyAQSDxgWIRKzSORzl1DgbbZbGQyubKyMj8/v7S0tL6+Hu8GDYFAIJD50Nv0JBmpjl0nMoiiG4PhoMggahW0tvJb7T57dLvFbWGoGZWMStYYC+8MHUVsEDdyGvtl/ZPOL9qkfYivV9bbwm9haBgx+eNnaQW6W9x9tOMoS8tyB9zRjSE0JDVKa1g1BfSCmW3yEAgEcmVZDgJttVrJZHJNTU1xcXFZWVlTUxOPx0PRuOYZhUAgkJXJ+NT4zNGBOMFwUKAXKEyKmC4MBqeBp+ON28ajPTSijJpHh9XDMZYcCAWG1EMaq+bLRLhUAo2EEYaaUcmsrB6pts5aQTqCRQZGBzL7MnskPROOiSWKAQKBrHCuuUBHIhGVSlVbW9vV1TUwMEAkEuvq6vr7+6empqBDQyAQyHwgYcSH+GLWNMEwzI/4g+HY9QJDaMiP+ENoaHbH4GA46EW8MRsjWMQb9CJfbmDMUgm0zWvLGsgqZ5TLTfI5m8f1dn2boO0s6SxDw1iiGCAQyAoH7wNNIp25VoMII5GI2WzmcDgqlcpgMGi1WqFQKJfL3W43FGgIBAK5flkSgUbCiHRSerjtcAu/ZeZ2DMNmPhxMOCaOdRxr5jUvRQyQmWCfc60DgUCuKhgWoVJzrqFAQyCQawK85a1YrtqpXxKBVlqU9Zz6PFoee/yLefUwDPP5fMFgMLrFFXDl0/NLhkq4Oi4cTbh0YBgWDAYDgQCCILBCgawoMAwbGCjs68uamhq/Vn2gIRDI1QTDsFAoFAgEgsEgvOWtNFAURRAkEAiEw5c5NDB+lkSgyQryya6TdBXd5rVFNwaDQQ6Ho1aroy8uERRhjDGKBosKBwudfudSRAIBAKAoqlKpZDKZwWAIhaBDQFYQGIb19dV3d1darUYUXfL6FAKBXHNCoZDRaJTJZCqVCnaUWmm43e6xsTGJRGKxWJb6u668QAfDwTp23ZH2I1OeqZnb3W53WVkZmUyOOhyGYT7EV8+pP9J+RGvTXvFIIDgIgpBIpI6ODi6X6/f7r3U4EMicYBE0jAQDgYDf7/f5fH5/IIiE0S/ZfIRhWHd3T1tbp8ViuQoNEnPHAEAQA34U+MIXJW8YBOHNHQK50vj9foFA0NHR0d/fD9uMVhpGo5FOp7e0tMjl8qX+riss0D7EV82qLmeUMzXMYDg4808ej6eiomJgYCDmgh5WD58jnSNICHA6jiUCQZCBgYGuri4+nw8FGrJMwfwmjaCzobgo50xGatLJpKS0osYutsY9bdCXKdIYhnV3E9rb26++QEcj9gJQ5wTJUnCQCQ6zv0h7GaBKGZMXAoF8Wfx+v1Ao7OrqmtlgB1khTE5ODg0NtbW1KRSKpf6uKynQaARVWVSJXYmN3EZ/yI9dfFfweDzV1dVUKjXmgrZ6rDQl7Tz5fJ+sLxgOYl/iXoKhAYtBq1GPaSemgpHI4h9YGSAIQqVSCQSCQCAIBALXOhwIZDYYiFg53SWvP/f3xx555JHHnly9evWjzzy37r0D55qG1WbP5e8Xw7q7u6+JQON0K32fVkk27K7e+n7mjg9PvvVhcjRt3nH4QmHD1Q8JAvlqEwgERCIRgUCgUChQoJchvkmdVi4WiiVS7cSU9wo36plMpuHh4Y6OjtHR0Su759lcSYHW2/Xd4u7TfacHVYOz/zqfQAMAvEFvWk9aPi1fYVaELn+gT8BrVjSVZaUmp18oah21uOGwRBwo0JBlDwYiuq7sT372nwn/deNP73xwzYYN6++969s3/eC7P/nHW01Disvu6XBtBRrDwN8ymQn3HXnyv/58/Pf/W/zPhNzHvx5NZ+5PIBxYe5VDgkC+8kCBXq5gGBq060ap5bnZiUc+O3YiMaeokyU0BSJftq/eDCYnJ69LgaaMUpK6k3qlvSaXafZfFxDoEBoaUg0VDxaXDpdGVyq/ZFxjkq6sx+6584b/+H+//O3fzrWLNO7FP7QSgAINWfZgAJvozNp35zcS/vTCgdRW9ZTF1JLx8qr7bkr47gPnWlmuy97vNRZo7L5VG379u7tUjR87BEU2VfOUvD6aLJJK1wT9KocEgXzlgQK9LMEAcHE6iz7b8PSffnbHXXf88t4/3vu7e36z+s2PUlvZLv8Va/C8/gQ6HAkrzcqakZqsgSytTRuzcgxOVKARJPZIRbCI0+esZ9ef6DwxNjV2eTHY5dSmk1vu/PkvExISbrnpf1/8pLSLH7sC4soECjRk2YOBiIFYcPC+7/3nPU9seS+lvquz7ciOf/zjz7/67RPvtg0rL7s/1jUX6MfuunvV728DYAQALwARAJCLUxgAACfagkCuIFCglyFo0GPg1B7b+uTvvv+dex59afPb+04cO/TZR9v3J2Ve6FjZAu3yu4oGi0qGStjj7Pn6YHi93pqaGhqNNt9tjKKgnCKcoigos5f+jgdOZ9FnG/76z5ffeeqJx5770213PP5WciX1Mvbz1QMKNGTZg4GIgVx+7MHbv/bdm2/50S//8Oc/3/+97/73z37/t23HW8RjtsV3MN9+r7VAf/T4I68/8Q+2D7MBEIyZhSMEZ+GAQK48UKCXIR6rtvGz5x788Q033HL3iRaRBjcR1GE1GRTjJiR8xarC60+gTU5TzkAOWU5eIE84GG5tbBVwBPNlcAfcbC27ilklnBBe4vdHAJiqSt312N0/2n665XzW6TOv/+XbP/zLlkPFNji+HQo05DoAAxFDf+mR+3/4nz+847d/eXr92zt2/N9TD//x7j/c9eCL51qGdJc7zuRaDyLEgDirLnvfHW+0vVIfTBKDI+wvEpyFAwJZCqBAL0MsWsa+J3/+o+/8+I4nd7PHo20iWAQNB0PhK7jezbIWaKffqTQruVruiGaEM87h6rh0Jb2GVfN+zfv5tHz5pJyn47G1bM44Rzgh5Ov57HE2W8vmG/iDssEzeWdqOmqEE0LhhBDPhid8P4IJQZ+sb2fVztN9p4UTQu44d3q7TiDUC5UW5bzjC9FAZKzn0LbVP/rhLzNJOpVWyi3ceeu3b/3Hpk8GTCCw4mfjgAINWfZgIGLoKTh4z83/cc+Tr72f1kCjUoYaL+zd/MyN3/reS3tz2kT2y9zvtZ6FgzEmeO9Qys3/74nVz33w3oGMt/akRNPmHUcvFDZe/ZAgkK82UKCXH2HjKPHV33/35lv/8Mc3s80u39J907IWaLVV3chpPN19OqUzJY2YltmXeaDlwJaSLavPrt5ZtfNs/9l0YnoaMS29Nz29Nz2xK/FI+5FThFOZ/ZlJbUnvHn93/4X9aYS0xK7EE50nTnafTO1JTetJSyOmZfRmnO4/fbjt8GNpj71S+MrpvtPpxPT03vR0YvrJ9pOnuk/VjNS4A3OPCgz7ncrGI5seu+ebt/4pq09mtKiFLcd++Z3/uuvhfyf3jNt8K/0tKRRoyLIHA5ihK3v/3f+T8PDmkxf6TQBgICioS3nzvxMS7n3p0IUezWXu91rPwvGX0/wbHtjz0Y1fP3tPQv5TX8v5xxfpzJ8Suj+Fs3BAIFcYKNDLj5BxlLjlvltu+dmf7n8vz2j3Lt03LWuBNnvMrDEWQUBo57UTxAS6kp5NyX6n8p09dXtyKDk9kp5OUSdZTiZICMc6ju2q2XWw5WAjt7FP0dfMak46n1TQUFDPrt9Wtu3D+g9LhkraBG0ECaFH0tMn60shpLxa/GpiV2Ils7Jb3E0QE0hyUjO/eUfZjj11exq5jfNN0BHw2FuSNj7x6xsTEhJ+/vs/PvTwn+//7e0JCQnfuuOhlw7VjNkvfxLZrwZQoCHLHgxg+s6s/T//esLtf/zX1sNFxJ7uhjP71j3yu4SE/15/sLBPfZkV7rUWaOzepzf+7i/3mXhpHmWlVd5gldVFk0VS4dLDWTggkCsMFOhliFkzvPuhH/7gph//au2nSvcSesiyFmh/yG/xWHRTOoPdMOGYEOgFlczK9N50gpggMUgmHBOTrkmNVUNT0tKJ6VnkrF5pr8qisvqsKqOqvLK8sKGwfLg8mZBcPVItNoi1U1qLxzLhmOiX9Z8nn08lpo5oR8Zt43qH3uqxSoySZl5zYmdiyVCJdFKKoHOO08SsWvZHz/7+np99/yf3PPTEU089//xzT//zqQfu/MH3vn/HLx99o08yscInhIYCDVn2YCBiJJef/MtPbvzRT3997yOrN2zY8MzfH//r/U8+8fx7Fb3cyeDiu5h7v9daoP/5618/99dfAGACIAJAGM7CAYEsNVCglyEu82jJ+0//4Yc333D7X5Nr+gQ6q8tmNSulIq6QJ9YEQ1escl7WAj0TT9DTL+9v4DaQR8kzOyirrKoOUUcDp0Fh+mIpRbfbXVtTe6rk1IX+Czw9z4N80TDs8DmqWdXNvGalWRnBvuizzBnnlA2VUUepZrd53iBCBsVA3kO3/u/v7n38vXMtXb1k9ginn0goPvDyo7+47Zs33p3ZzteubGmEAg1Z9mAgYhMN1Hy4ZfWaJ/765/vvu/fe++558MUt71/oohtc3svvhXXNBXrno49sfPQfbG/EDgCCXjQLhy8MZ+GAQK48UKCXISGfY7Tn7NbV9/7XDf/zmyff3H+qsKuloTbzROKRtFN5HQ7PFVuP8PoQaIPD0CXqKh4sHlIPBcJfaBlfz68ZqalgVkw4JqIjK52Is0/U9/axt08UnmBpWO7gF72ZxQZx6VBpC69FNimLTiAdjoQ7hZ3lw+U94p4p79QCYfh1g73Zb//sh3esfv1Qvy5k8wTCIdTrnHKyyz5a//CNN976VkbroGYJO9wsf6BAQ64Hwn6PXa9VKhVSqUQsEolEEuWYzur2oV+mgfaaC3RmWfFDbxz96ZbW1xsCyRJwhPNF2scEVarpjFc5MAjkKwwU6OUIFkEDFnp32cfb/333r359+49+etdvfv3r+x94cdeRHILAHbhip2m5C3QIDU04JnokPcWDxSQ5Kdo87A64pUZpJbOyll3LGefg9hyOhC1uy5B2KI+ct/vk7qq2Kpdvelkxf8gvNoobuY0lQyWiCZEXmdZci9syrB4uGixqF7RrbdqFg/GbZcK+ksPHU8s7hy8aqO/XDLQUHjxwsLSbLTNCgYYCDVnWLJFCXnOBLis4+a9Vf7/z54+/sHHvzk/PvPVRajRteuf4+aKmqxwSBPKVBwr0ssXnmuTROjKOHXx/x1vb39n57mdHspp62OM2BL1i06Utd4G2e+0t/JZCemG7oD0Ynu6ciGGY2CCuZlUX0Av4en40szvoJilIlezKIkpRcVmxYGR6HugIFtHb9TmUnHJGudggDkfCAAAMYAiKUEYp50jnukXdE46JRYPBFps/EMOwyMruYwgFGrJiucbT2GFY5/7nzz6QUPDUDbmPfz3nsf/Meexr0XT6j3AWDgjkygMFeiWzrAU6EAporJp6Tv2gatAbnG7ZjWART9BDV9Hr2HXjtvEwGo5un3RNNnAaGFqGwWqoq61jDDEiaAQAYPVYR7Qj7YJ2gV4Q7T8djoTHpsb6Zf2dwk6z23wF59ZeyUCBhqxYrvk80E49zSKptCnqrbI6q7TWKvsimcXlLj3t6ocEgXy1gQK9klnWAo2EEYvbIpgQzBzYh2GYH/GrLCrRhGhm5ggWcfqdPB1vyj+FBtH62noajYaEEACAM+BUW9Vqi9rld0XzoxF00jWpNCvHpsYw2C/wCgEFGrJiuZYCPV2BzZ55I3YWDljVQSBXECjQK5llLdCXjcfjqa6uplKp8IK+ykCBhqxYrnkLNAQCucpAgV7JQIGGXEmgQENWLFCgIZCVBhTolQwUaMiVBAo0ZMUCBRoCWWlAgV7JQIGGXEmgQENWLFCgIZCVBhTolQwUaMiVBAo0ZMUCBRoCWWlcLwJ90eDhheccm/OPn39k7o+u1EnMoEBfDvNcLJd/Uc7z10sIaZkABXpervjZhBXZMuPaCrQJAAUAohAQo0CMAnEYiFGgBcD3RXxXOSII5KvP9SLQAEz5JoRdeQNDbJ0FgLmXEvm8inDJyazSk2fSk48l1hRWiXUYFp7xVyxkGe/KqT9/LDH5XEoaaUBk9a7U2gUK9GWBoVjI73G7nE6n0+lyOj3eQGjRG2YkHAx6nG6X0+H0uN3BUOyaK5Gw3+NzO5xOl9Pp9wfDV2y1nKsIFOgFiIQRxOvErxqXy+0JhBF0sU8EvP7pS8LnC4RjsmPo9A4dTo/LHUS+1ELUkC/L1RdoDAAUACQUUflDDc7AGZkvieVN4XhTON5ktjeF4y00+mm+oCuAhuFUnRDIEnDdCLS/T1a9568Jm94+1M0EYP5AwwAoKRkvv/WzhP+9ISEh4e7bfvFpts6u+yKD2yKvO//0dx78dkJCwk0JCc+uP9FNBQC5CkVYfkCBvmQwAIBP4O/fu/pvf/j+D37w05/eeetta7ac7BjA5pln9fMNRtLZorU/vP+uW2+6Zc2f/1HYZfG58b9iAACAhdRDB5/c8eebbrv9N7f+6KMPz7E0+MSt19V9Dwr0HHx+Bq3ssqqXf/73u2+/5fs//OXdf1qVTq8ajckS8xETJ/nFPQ/d9OOf/uqWW9/dfoyqwCu+z3NPsctr1v300d/cctP3n/j9A+drR22OJS8MZF6utkBjWAAAPgAvdZjueKXriV8c3Xjr1m23rtt624att214/bb1W2/b8Pxtu//4cN5dicJ8W2Rq+lNLHhcEsnJY9gI9/YP30A7WbL7pWwn/ty6RxJlfoEM2jSzn/pc2r/nF6/lE2kjHkRd3PXXbjw935fDceAY77UTVJ3f9YO2nu7L7WISas8/+7982b3u4bMzhW6Q16CsJFOhLJQxCKnVt4rkXHrr3ybX3Pbt+/Qv/+vefHvjn83tfPitgO5E5b5tY2O+RZ+Ue/tdj9//pxRdfePx3f3ngJw+9VMNss01f3KiNJena/erqh576+2MvPP+vB2668++vfLZX4p5CrrPbHRToOcEiEb+mpOro84/fccdjT6959oW/v/jEr+54YNerJ6gS39zP7hGXWEPeu+OlRx5/+OGXXnjpwZvvenjt++/xbLogNr1DdUl16ronHvjjv9Y+/8/7H73/+398PpdYYb4e31t8Rbj6LdBCnfutnKEH39z31DPrjz65Pe+FV8tf3lCyfmPJ+o2l6zeWrNuYueqNN5/c8qf/27TmUHluv/YqhASBrCiWvUADgIWAi9eYufbJ33zzpoT1b6ZSFhBoh5pY8uiNT617/7n2EAAAqE93Hbr32/ee2FMkDQIAgIudvGH/n267+ySr1gQAsDvr/v7ycy/++Nk6rt0/11dfYqSXlv3aAwX6IjAMW2RN74gP2KsK39rw8HdfOjFglQAAQBDIjx99/sWv3fDeaYlpfK4PIQ7t0IffW/2vx28+LJ5AAWCn1Lz5/77xQvr2qulb2kTbJ7kvJXzrtfyPBzAAPKpTd7z00iPfepssMM51UV4tFj8as/iSAv1VXVAdDdjZh3+18eGff+PZqubxCAAWID+7487H1z5zPHcCWOaSXjM5s2Jdws2bUl9tCwCATWTdt+3f9/zHVgJZ6QYAoEEn57Nfblp77zc+ZvHdAIyWdb7ztZv/9dnz2Uv+M14JXMaVDy5doLHPCYfD4XA4Ernkh5+qWn5CwsZPH/q2Ie93wJgDAAEACgAkAEgADABAAsFGhLZ9YNcNt//nH//6yLlL3T8EsnLAMAxF0XA4jKJo/DXAlxToq3HL80wAwq53dj+RcPfj9yVsPpxKYs0r0KoJXtbO//fo+zsrG/wgAAAAzPGuxGe+9squz4gMAAAg1WzZ8spN69JHXCIAAHAAR1nmC28//v29ZQaXbq49YpFwyOcOBnyBYNDrcrmdDqfL7fSHQ2gYoEGf2+VyOJ0ut9MfQtBrfPe/jHMBBfoi/H6/3+9H0QVeRkRA2GJSjQpZo0YvhuBbAK3lw+0vJDx9uGecOccpcLhN7Wm/uXfrvw4cEAInAMBHHmvc/tCPdm79mCgFAAAVPfm9Xbfct61Y2OEEAASB4kTqa1t++5PEmlHL1Oz9XepT3WVdlhiGeb3eYDB4SZ/6MgKNoqjb7Q6FQl85jXYFff3nH/zLtkff+oji1eCdMEIWLU8il+pMCAjFFjcCwBi78MCH37l76xlatRUAgAFtRsGuLXd9/1AB0+gA4XCAnP2Xv77+2I49LNQAAEDY1p63V/1qx4uv1fMAmH3cL/WIftXOwKWAoqjf70eQS+7Ud6kCHQgEXC6Xw+FgMpl0Ol2v11/qz620oikh4TuNeWkA6ACwAOACwAuAZ0ayAzAJLCP3/u6B+x5cc6kluh65nBHeC34CTjuwQvD7/WKxeHh4mMfjWa1Wr9cbjz98GYFGUdTn8yEIchkPz/HjNYo6//1GTtrbewsP/O1rW/edIM4v0AxN1/E1X9+0+7OuoeluzUojN/vtb/zjvffqm3wocJRfeGn7Uz/4uFzv0QMAgBcAUsWWbZu+sz51xC6aY4dht4HW8u4j2akfHC/Ie/Wee/5883dvv+/xnx2id4o5QJL57gO//8N3vnf7Hx//xWd9lUL3kh2DAGQNqAAAIABJREFUxQmFQn6//1LfHK50gcYwzO/363Q6jUajUqmYTKZCoXC73Qtc0HNUnJ6S/PdefeS2rWfpRsUcn5DbJOe23bj27c3FXQB4AQBA5ZHlv3njv97YVNICAAYITe/vfP7rr5xnmGQAABAEoK9x9+7nvrYxbUgvnCuEcNA0SiznUNsGRfzm3Ny8xMTUs7mpvWMCkwW42X3F2ReOn0w7n5fRO/r/2bvv+Cbu+3/gShqapmmapL9+s5rRNkmbtEmazcgkrDDDCmEvA8GEPYIBm+FBAIcwDMbggSfeey/JlixbnvKQt5YlS9beW3f3/v1xtlkymGBjQz7Ph/7w42PpdDqd7l73uc+oktzZKbmf0+lsa2urr69vbW1tb2/v6upSq9W33b3uKEATBOFwOJRKJZfLFQgETU1NVVVVKpXqlhcw9yOhRRKy/dlv3KafSwdw+dmu36mcAIW5vrtmU771z+bW95bQC/08ZlMW+mXzOaBySIN3vDh/9ZRTaQ7QAACIcGnkjpcWrpjkH2cHtYt3cGiFtQ1pl6obK4upxbH+/md/OnYsPOtStdpmFeqbc2NO+J/+6fiJiIzgaqXa8oBt/ztjMpm4XG59fX1DQwOXy+3q6tJoNIN54W0DNI7jJpNJJBJxuVw+n19XV8dkMhkMRk5ODp1O7+7uvtPUXpQc/sETlK0nYtIU0AIgAVAAyABkAHIAGYAAgGmF8zXYuy++uezDt+9o4fcttV7ASDv7y7njPx33P/fLmTRah1o50HN7f3i4ui6LcfnoLyd/PnosLS6zU0H+Tvt+lk6DkJseEHPOz+/4pVMB5TVdBtQ67cFjtVpbWlpKSkpyc3OpVGp5eXlDQwOPx+Pz+bf4bVosljsK0DiOq1QqPp/P5/PZbHZdXV1PT8+dXjnfAQOzo/DkunlnE5KCqpj+Xz3qtsM7v3qgAG2jc1O8Jo5Zt82noK+ZR5e0OWT34+O2uF+JUTig+9Ivc90/+9uheKWhBwDAAsBM2LDa7ak5vnR1nYuFOjS81AufUmZ99uF7a/zWf7t0/befTp014f+9s3bJ914XTh3cvnTpmq/f/erTtyhv7Np8oVo+0PAgw0+j0bS1tbHZbA6Hw+PxxGKx0Wi87at+cwGavE2DYZjdbtdqtUqlks/n5+bmpqSkpKamRkdHMxiMwWU4AggHhoNewhVcmLFq4fwnv40vkhhcfP2OWkWJ7+wn17ptSmL21g5KdNIrB579zH1hQGgPOJUxURs2T3hid2gr2QLEDlCVe3CL26OTD2UImC5+tk6zih4x+8ntCz5cdPinSS+89A8KhfL4k5SpZ/ZEpqqZB1f/+4VnKRTKY09QJv28OYH/KzYgADgcjvLy8uTk5NjY2Ojo6MzMzNraWqlUqtfrjUajw+HAcfzmy4xbB2gcx/vvkZnNZqVS2d3dzWKxEhISUlNT4+Pjk5OTu7q6HrQxdB0cc/XRRS+t/25RGA1sMpvJpNXp9QazHXe6rtxygD4+ae/2cWO2nC3jcQEAMIB6RoDHuoc+2x/TXm7qdtQfX/Hi2u/mh1EBjAAACrs59egbkzd8vv+8CHpu/FoIAENrqudP71HWe2yds2Ld+IcoT1MolFcm/n5tcnlFBP2XxR9RKE9QKJS/TXjYLYvWqR/mLTKqabVaFouVlJQUGRkZHx+flZXFZrM1Go1WqzUajWRzC/Im7w0v7A/QSqWy/wBC7vP9OzyXy83Ly0tISMjIyEhMTIyKioqKimIymWKx2GKx3Om9Fykz5dLUx1+ZsfUl7+oTdaZYhT3VaE3SW5P01mSDNUlnDRM6liSLH1oV99VTr8bM/XpoNtCohoM6qyxgybjf/f4JCoVCefwhyrvzfspPVsDA3UnsuKMhy+OrpS9QHh3zOwrl/f985n/FaFdcfYJaWH7+2IRH/vsEhUJ5hkJZtCmysuY+bK+J3BqO4waDobOzk0qlXr58OTIyMikpKS0tLTU1tbi4WCwW6/V6q9VK/pz7z31Wq5XD4QwUoK895RmNRrVarVQqq6qqUlNTU1JSoqOjU1JS2tvbTSbTMH0ofYF31pHpX51rzagrUeYcmTJm7TafgQO0o4ybdmjymDXbjuT31VILpI2Xdjz+yZZNsXFqJ/SEnp638cu/ecbKDBIAADMAPW79mjVPzztapma7OG87dMKsiJmPv/3qZy+syKg2A4DJJLh4+P9+9+zvPnluVWa1FQA6VMWHv3nsvW/XBYcrwTxCCVoikZSUlMTFxUVFRSUkJOTl5bW2tur1eo1GYzabyS/95uOzTCZ7MAP0lStXysrKbv6X3W6vr6+n0+kFBQVRUVHR0dEZGRkMBqO8vLy6uloikZhMJqfTefszGWEBXVa67/LJf/3b8w+/9qnb6ZMdoHYZ/Jy1ihLfOU+udduUVAZgAegL0J9fH6B3hbRcE6C9tqx9dMqhDAHTxZ7utKgYsQv+35ev//svswLOp5fWtWcVZnuufP2tt56fMnbVmZAcRh0rPDdw9QfPzJrrFpFrANOvuIFJEEajUSKRcDgcBoNBpVILCgqio6OjoqLS09NLS0ubmppkMtmNa+Z00un0/Pz8pqammy/Zu7u76+rq6HQ6jUZLTk4OCwtLTk4uLCxkMpksFqutrU2j0djt9getCYeqzJD5w3tTfv56xWFqzPxpX/736b88++//jduaKCzT9T7l+lHuHaBPSL4xQLMZAR7rHvr8QEx7uUniqD+x4qXeAG0AIAO0X1+AlrkK0J2ZXn7vUp773/IvdibkVzLZLZcvei2d/MfX/vXhxmXe8XmssobCw75r5v/zqWWHU9qaHqxv4I6QTYlkMllzc3NpaSmDwSgoKIiLi4uNjc3KyqqoqCgrK2tqajIYXNxwzM3NzcvLu7Y+SSgUNjQ0cDicwsLCjIyMoqIiFotF3tiRyWRarVaj0Vgsll93Dxe3KZVtiTGHP9r9yQtrnl8685V9E1/3m/ya9+TXvL963Xfya96Lntv0w78/Pbr4LxVxKwzivF+/Ue4PFoCqzB++2PL+x/N9GeGFbVUZF+O+f/vD/ywbuzqljMBdhhSrmFV36j+ff7fkw23RDGZFwtZPVk3/z0vHK7K4vSNoy3M3ndnxztNzffxi6MyEgONT/vDOBq8FqVLAf8M/kgeX0+k0mUxqtVqr1crl8qampsbGxpqamuzs7Ozs7JKSksbGxubmZrFY3P8SPp9fVFRUWlp6c72bXC4n8waDwUhNTY2IiEhMTCwqKiIPI+3t7Xfz878VAgDsAO1ZJ097zvVL5pn0jkpR2qHJ9zxAawWZoVMfXbZ8+/p0TIkBAG4SpQZNeOTbBVvWpuMKDACshs6Ek+P+vM7d+0g96EeoH6bD4dDpdN3d3Ww2u6SkpKysLCsrKyYmJi4uLjc3l8VicTgcvf7GqiWFQlFZWZmZmdne7qrxwZC6pwE6Pj6+vLycrGk2m81qtbqzs7O9vZ28R0OlUul0enFxcWlpKZvN7unpUSqVWu2dDAJG2MDIpId7b/t65uKPv5iz1HvT5bZGg6vRoJ11ilK/b55c4+aeyOgN0N06Scz+Zz93//ZcmAww1ZXoDZs/eWJnSItMCABgB6jM8dqy5tGphzMF5S4DtLos7tv/mzH2q3d+rK0n63kd+SEf/GH8C5/+e29TEw4AGEjjDr756pIF+452guYuDvU2m02lUnV3d3d0dJSWlpaUlFRUVJDHi9raWg6H09nZ2d3dbTabAcBisTCZTCqVyuFwDAYDWfEmFos7Ozvb2tpqampoNFpubi6DwSgtLS0qKqqsrORyuUqlUqVSPWgVz/3kDEP8ijfGz3t54vJDPptWrVkx/8v/zfvgmTfm+m+8zOPZbjqWEQ4wJCR7bB8/ZvMZBq8TgAzQ9LN73R764sCVjgqzxNFwYuVLa76bF1rcG6DlNlOK7xtT1n9+IFDsMkAbO7MOHvv4oTdmHP0+ToUBABi6knfseZzywgTvVXEaDACgoyFoy/KnXl4XWJE44D3v3xCHwyGTyXp6etrb2xkMBoPBKCsrI68PyQvI5ubmzs5OuVxuNBoJgsBxnEqlpqam1tXVVVZWslisysrK7OzspKSk9PT01NTUrKyskpKS5uZmgUAgEom0Wq3ZbDaZTGRLaI1Gox4EpVJ5fXa36SqO1vjOivp2qf80N59J3/tN2eA3ZYPv5O/9pmwInLkiZ9MCYdQSMOf03qvoOxQYDAalUjmYdxwNVCqVWq2+XRMXORjCPd/5eNrflvoLQQkA0IPV7lz1yhfv/WN3sBLrdvESXMqKCPzo9+Pd/N1KAQCg7sfQbR//4b3Tp/PIDuGyku2fbxr/1n/PdpaZAaCtO+yDzyeufnd1jsBl6Bn+zgZGo/E++uLuLxqNRqfTGQwGk8lksVh0Op1AIBAIBC0tLfn5+enp6WlpacnJySkpKXl5eVVVVbW1teTZMCcnh8VikTddzWazRCLp7OzkcDhsNptGo+Xl5ZGnPBqNVl5ezuVyVSqVXC4f1saKuFWsqd9++qfAPX5iEwBAY0+u37QxG/acKOP0PuWmvc/O4KYc/GqM2zafgpreAC2UcoJ3PT5+i/uVK0onSIJPzXX//G8H4xQGKQCABaAsYcPqtU9/M2ATDn5G8JTfb9nl490AJgcAOLWC7MvTH92627uvBNeJ8yJn/G7Tlv17y0E30gNKm83mnp4eqVTa2NhIJunS0lIqlcpgMOrr6zs7O8nEYrfbnU5nT09PdXX1g1YDbTKZkpOTCwoKeDwem82urKyk0Wjh4eGhoaFJSUklJSVNTU09PT1kYuu/x4phmGNwrt/vbdDqfWTO/N/9YevpZpmLjqjO2sEF6F2DD9BmFSNq7lNb3TbuqQCZBQAwi5oZs+DpbW7rdjGg2wAANr2CET3vyc2r1mwphi49AAzyw12n/4Y1edOKrBsma/FpNFpOTk5wcHBoaGh6enpVVVVra2tzc3NRUVF+fj6TyWSz2U1NTTU1NSkpKWFhYZcvXy4oKKDT6Uwms6uriwzc/S1qyPtcv2YVR6XrKtGVLEPCsndf+B3lzXkzwlVCOwDe6Mj8/t2//veVrzzPdYHixvlRbhmgY9oHCtB+twzQbWkH/Mc/su5c2WUeWWJqSztw8pNH1p9jhPWWmNszvH755KE1p2iXbnc5/SB9WQO5ec/X6XSNjY0sFotKpaanpwcHB4eFheXl5ZWXl7e0tAgEgsLCwtDQUH9//y1btnz//ff79+8/efLkhQsXgoODycMOGbubm5s5HE5dXV31nauoqOjs7LzpCzEBUEETDsLzIA4CcRCIAkEcBEQKQJvLb7Cjo6OiouJXrMCIqKysrKqquk1jdFwM/HO7PnKb9fGJDCehAgDQAeQFTF6w5o3vT7dhPBdxhcPJ/MmN8tne48U5DsABAC+uDvb8krLaK6yuCRwA2ecnLlj96sZzXIIPACAFySWPj9xmvnM0xYYpbl4eAIE5HGaDzWa12mxmg8Gg1+uNJoMVw3An4bReU+J0/qo6bB6Pdx99cfc1Npvd/2ttamqqra0tKCi4cOHC+fPnT506tWfPnh9++GHHjh3Hjx+/cuUKnU5vaWlpbW2tqqrKyMgIDQ0NCQnJycmh0WgsFquzs5O87h3WU961NdnGrtr8dQ/vPrhvNx16tDbQ5ddf8fhyzHL3A6mlgOsxVxd7TiYv4/DUMau3Hc7rm2yFL224uO2Pn275IS5B6wR52Jn5Gye+sP9KT38NdGnsujWrnl7wU7m63sXvy6HhZ4RM+b37loMHKkFvB7JOOmTqo+5bvK6WCLPIkv29Jb0GH8mGisvAI5VKq6qq6HR6UlJSaGhoVFRUUVFRY2NjY2NjdXV1aWlpTk4Ol8v9Fb/lO3JPA3RiYqKPj4+7u/u0adMWLFiwd+/esLCw+Ph4svVhTk5OdnZ2VlZWZmZmZmZmRp/020lLS0tKSmppabnm3TCAgoTt62Y8MtunSFRz89o4ahQ0n1lPuq39Ibm8tw20VNcT6/Xcp+4LzoZIwCmPjly/edyffwxrI/O3A6A679CWdb+fdDCdX+a6DTQZoL/fzSQDtNOiLo9d9My6mZPmHi8KT8wpLkpNjDmxe8LjsydNmXO04HJCVl72bT+ca/0bh9xWWVlZ5M2szMzMlJSU2NjYiIiIU6dOLVmyZPbs2atWrTp48OCxY8e8vLwWL148a9asFStWBAQExMbGxsbGpqamZmZmZmdnk9s/s8/gt//ol5ycnJ2dfd3dDFmpIWHla5+teXdrHENHHpUshDz/1PQXl89buosJQvP1Xy/hAF1c0o/bPx6zLYDJ5/XuYw1l5zw2PPTp/uh2prHbwT627EW3RQvCS3rrFZV2S/pPb07a8Nm+ACH03Hgguxqg3c4ywrjQH6B//uSRdWfpoX0l7RmeJyc8fNsAjWEYg8FITEwc6Y097Pp3+xt2frIFc1xcXEhIiI+Pz4IFC2bOnLlp0yYfH59jx47t2bNn5syZX3311apVq06cOBEWFhYWFlZQUFBRUcFgMIqLiwsKCgoKCnJycvoXOHipqak1NX2HmWtOgQ1A5DhtSWpLqs6aqrMma6ypOisDnFdbWV1/viQbYt7pu4+UjIyMrKysnp6eW+2XYAV7deSS9zZ8NnF3LfABAHqgyWPutPX/mnWpzIibb34FXlwVcmASZcWh0Mq63i3EaU4/tpry5Z6fGUVOI0gveo5dPecd3xQzoQAA0ACRfearRSte3xTAc7rqX2KXN6fHrx8beMH70Olflv7rX+//31//NmHhm8fZDcIKM91nxRv/euuvz7z46YK3jlUW812s0W2x2ez76Iu7r+Xk5JA/1eLi4vLy8rKyspycnJCQkODg4BMnTixatGjy5Mnz5s3bv3//sWPHDh06tHr16tmzZy9duvTUqVMRERGxsbHJycmZmZm/Om8MXlpaWkpKCo/H699Peprq9v+F8i8K5eEX3vzHP1/796t/e/m5px976InHHv3jG59P35KurnIxwleLqPL0moen7tiemEOADQCgvpt6cv5D327xyC4BAiAnctma755cFcgxtQMA6MGWHLhw4/SntwQLdK5+DncVoJubm8lm6EO4oW7r2rRz7WGfPObHxMRcuXLF09NzwYIFc+bMWbVqlbe3d2ZmZne3q/tbQ+qeBuikpCRfX18yQM+bN2/nzp2BgYHkPl1cXEzeT6HT6eRdlfz8/Ly8vLy8vNzbycnNzcjOF4r6KpoJAHAAsAs8N7s/8oVnhpDhojctR1X3y7Invv1+TVQhgBkAQGDgXt781PQNS0ISrIBj6Qmbf5j26PoLtbIOAAAbQGna7m0LH1lwjNZV5+LzOc0qRvTcp7as2bCDAdLeAM28svAZt5mT5/qXxKQVMRjZaQkn94z/05wpX8/3L4lJK6AV3vbDuUZuGfIg0r/RyByQlpYWHh4eFBR0/Pjx7777btasWatWrTp8+PCJEycOHjxIBujly5efPHmSrIHOzMyk0WjkxicXVVJSUlRUlNfnV67iaJKVlVVYWKjT6a5+XdpyY96WD97z+mYXraevl7GT4Ba4PbNv6ax1ucC9sWGVEyA78/DOqZQVvxRwm3tLKqgnPL6lzDqSxmWDwiE4v+nF71ZMP5cNoAMAkDiVsR7/+Gb1RL8IPdzU/uJqgF5zuiSk47qStadowf0l6Z7+43+3prdkQDiOs1isjIyMkd7Yw6h/n8zPzyf3/H4MBqOwsDAhISE8PDwgIODgwYPz5s2bMWOGu7v7kSNHgoKCYmNjz5w5c+LEicDAwMuXL0dHR1+5coVsAE2n09lsdktLS/M1mpqaGgatrq5OIBCQXwQGoARI5lp8UgU/ni7f4ZW7bW/Gdo/M7R6Z2/dmbvfI3OlH9QxrPMtQNTjghiMTOQzI4N93ZLHZ7IaGhut+Vq6Zuop/Sjm24kfPU97HAs6e8DvjuXv10fiDOXydy9YV5uzy83vHUTYejq5p7g3QHa25/j889PGuo7QsrR64p/d8tH7aByezcUwNAKAHKLo4bd6619b4Nzk7XDQ6s3azzv/8LmXS1OljV3tvnL9wzcJxn039/P/9b+Om3YfPn9j/w8KFK6f+56OPP6S8fdAvuU17550Ru7q67qMv7r7T2Nh47W0iDofT3NzMZrOpVGpeXl56ejrZ8TciIuLcuXO//PJLQEBAdHR0YGCgp6fnqlWrZs+evXjx4uPHjwcFBYWHh6elpRUXF5PNAPrPntee8obqrEdejQuFVydL0oolse47ds+b992iefMXLFg094tp49585uFXXvnnuzN/2OlP17e4+DGZVR1pZ956ceGKw5urgACAnoiyUzP+/o99O87VKQEAxHTP5Tv+/daMsNZcPQBoHbQVG2cv/deE4FK12dXQNHcVoNvb2zMzM4dk+wxS/zG/oKCAbOjb/62Rx/yQkJCwsDAPD4/58+fPnj179erVvr6+D2CATklJSUxM7O/3Ru7iQUFB8fHxNTU1XC5XIpGYzWabzWY2m3U6nVarvX0zRI1GrVapFRKtSm002R0EeeyzA5Rn7t+86o8zffNElS4OqT06adyhFz/ZuOD4uW7QAoCjUlbkNf0v69ZuzqgEAKgvPrRl/eMT96VyS+0AYAZ5cJDbprFP773cKhPfvDzXAbosZv5fNi1b4Z5tb5GYcFwh4eYGzXhq/ZKV7tn2FoneaviVbcLILaPT6YxGo9VqtVqtWq22s7OzqqoqLy8vKCjo3Llz4eHhV65cIS8WExISkpOTyT/i4+Pj4uLCw8MvXLhw6dIlKpVK3hQjG4DabDaLxWIwGMjlD74Z6Cin0Wiua8+Nt5sbTq95ecWyhRdzeltcOByGyqhFL21Z/N32UhDc2LkJA2hint+38fcT9oTV5VkAwAHqqPg9Wz58bMc5plgKFqc50/+tr9Z/sfckF6QAgHGMVd7fvbJu0cIIeu9Qidca4gBNEITBYCCbpT6QNBoNuefrdLr+Pd9ms6nVarIfBYvFSk1NDQwMPHfuXFRUVHh4eHx8fF5eXmRkZH5+vtFoxHHc6XRqNJqysrLMzMyCgoLs7Oz8/Pzq6mq5XG6328nBX3/djC39lADxBuubZ5hjxp/+8uG1ax/6atuYjzePGb95zPitY8ZtHjN+HmXeq897PLQmYUe1uOFXv839BAcwiiqCT3825q0/Uih/eJ0y9sSpYp5+gOEjwZpXccHjE8r6w5HVjb1ZtrUl+8TGh8bv+qkkx2AAfsDej9dNf/9EhgPraxOSHzh1/trX151scXa6WKi1pzbk/BcPv/T6vHe207gAAMqeMp8dj1Ae/9M3b+8q5QIAVLdE7phEeW/VocwkPYz09BGIC+QPkxwS3mazKRQKcni73Nzc7Ozs3NzcqqoqshWi3W4XCAT5+fnR0dHkDeqYmJjw8PBz584FBQWRP/mWlhY+n092kbdarTec8obwrHd15CsXR5UqcbbPlEfW7fqppP9QQOA4ZjNYbVaLs/cFVllLldf/+2LBnBd/LBOqbaIra39a8MQfNsYdK+2tr+7J2By49snfLbpwKFdpF9fkuz/+6aJvXzvepDC67P3X2wZ645aD+68N0FN+v3Gz1/5rA/R1Jb0sFsu9PMvccNg3mUzkYZ/sUF5dXZ2UlHT+/Png4ODo6Ggy2yQmJpK3g/j8Xznc2eDd006EcXFxDAbDYrGQG0Uul9fV1VVVVZWXlyckJCQkJOTm5tJotIqKira2thva8l/bKvo6AIRVC+zjP2/Y9t8JQZkaoi8lpUQd3v/Zf7xTWpQuO19Z1S15K/4685s5/w6UaACAeyH/x//700Sf1UGt5BN4V3adnDjm+W2Jfo0AgKnDP1i58MvHFqZXiF2OROg6QEfPe3rzarftJdBtBAC7UUGPnPv05tXrtpeA2AgArj/TQG7oF+x0OmUyGYvFIq+kyV2HHECDzWZ3dHQoFAqyd0tJSUlBQQGbzZbJZGTMam1tJbtVkaMZhIeHZ2VlkbV69fX1yuu3GdkZ687WdfS5IRU5tNzMta9uWj53YQ7WAwAgBKbXxOcmfTT7eLwdXLbrFGUfuzCJ8or7pW3lAADmxEnbl3z08KyEnBYtAGA2aYn7q0tmTHjxJLeTAJCnVnj99flJP04/xnbVB2OIAzTc4jdy/7thzycIoqenp7y8vKKigkajpaSkREZGJiYmMhgMcucXiUQKhcJgMOh0uqysrJycnP4GPDiOG41G8nDc2dlZW1tbXl6empoaFxeXkZFB9lBhMBhSqfTXdcPPowlf/fDn5RPfjN7+BifGk087Lag4x2ee5TPPCsoD+Myz3KwTtJOLfL/7y9tvr1i17bcwCkd1zo8Lfhj35aSdUZcyWJU5kbF7pkydsGHGptRyl6NwDEOAllRdOvfZQwvcT+4pIhvs2eXVgb/8jzJnjf/O3hK9pOyszzuPrfUMP9WGAvToYrFYBAIB2V2eSqWSNXFZWVmVlZUcDkcgEGg0Gr1e3z/wnMPhaG1tLSwspFKpKpXKaDQqFIqOjg42m81kMouLi8lTXkZGRnFxMZPJrK6uHr5T3i2vxsv4KfvGUZZs9Mqv7rsRapG1VR79wPMn3115RoONAAAgtE7txbOrv3if8qfX//7Kkw//55//XLO/9pr5KIiK5sJtC55+4Y3H/vLii/96gjJupkd0tBmsrt/ZoeYmnx9HWem2ZweT7CDo0PBSzo+nrFy7+2oJP/X6kqtbZkg2y2DccAR2OBw8Ho/BYLBYrNzc3Li4uJSUFCqVWltby2azhUIheVQXCAQP7DB2LBbr2kLysq+np6c/BZKNk+h0ekNDA4fDaWlpIcd6xG7RNxa3gjApeqfbhFcnLfD0/vHC+TP+/mc9du/ce25bUE273goAuM0kZYbSS/Oy261GOwEAuE2voC7dvfaz595e5+V76sjKOYv+98+xp/MudvReL9oEcYygcf/9cP7kb71OH/fd+N6LExevn5u/jE2CAAAgAElEQVQnlZpcronTrCy5PG3M+iUrN9FAYgYAp1lVGv71mA1LVv5QClIrAOBWNT1i+pgNS1ZuKoFfNyO40WiUSqUdHR319fW1tbXkkALZ2dlUKpVGo1VVVXV0dCiVSqPReG3veCaTWVRU1NLScu1ImQaDQa1Wt7a2lpeXkzeyCwoK0tPTi4uLKysrGxsbORwOn88nO7f+mnUdvQgAIHBCXbojzHvOrBX7vI6euXh47bElb/1j7NHvTnC6AAgAW3dDZ9G5zKqOamnvRnN059WFf/LxJ3PGz/I4/fOJzeNenfzNomnpwg6dEwAIDNMwNx7dMuH//rN6l+dJP/dlS//7t7G+cceaXLaqJAAMLUm7/f5HWXqi+ELbDSVFgf0lyXuOXi35jSJTr1QqbW9vJ++Vs1is/Pz8/Px88pKbRqNVVlaKxWJyurJrT1oFBQXkRCo3H0PMZrNMJuPz+WVlZYWFhXQ6vbCwkGwZSaPROByOehATFd0gPJJKobx/wW0i1B8AJw2gFYAP0AnQCcAD6ASoA1m4Mn7pP5946+33t979xhndlGCK9nn/vc+fnrGWauECAEgw5veLXvz8zVc9Lqsx6c2vsORUnN87nvL94agaTm+Abm/J9d/00NhdR0uydXrgndnz0fqv3/85C+tvwlEYNG2e22tr/TmuA3R35cWATynuvtGn28l6QLukOiTwS8oPflGn28gSp7Q29NKXlPWewUfZ4BypqSOQ6zkcDolEwmazi4qKyDFzCgsLaTQalUplsVhisVij0dw8uYHVam1sbCT7zfcX2u12MklzuVzylMdkMgsLC7OysoqKiqqqqjgcTkNDAzmGz68YAP7XwDrldeknv78cl9ks6Lsh41C1dQS+v3nfgflBck3vCMwYgKwt8ez5b2Ytnjd72izPLfuoTRhuBwCC/IVYrVpW9ma33bOmzZy78psFYeHFQjWZyF18CMysrGf8sjH6SnoqHywYAGBmVQPjl43RV9JuLknpLRkBDodDp9OJxeKWlhbysM9gMHJzcwsKCmg0GnnlIxQKyT7A/Yd3rVZbW1ublZX1oA1jd+uZCHEc12g05AAdDAYjOjo6ODg4MjIyOzu7ubmZvAN7qzdoT6rxe/9fz/2RQqE8/PCfKZSFiw8V1PWNrWjXdVfu/z/3jQsmXZQLteRyHACcslPrV1Eof3mIQqG889w/fCOEGvnVJarMqsST//vHRxQK5eEnKJTFi70K2XBjs8U+Tou6PG7Ji7vdt3iU93Ui1FTEL3lpt/tmD6aLkp47D9BOp7O9vb24uPjKlSsBAQGhoaHZ2dlklRuXyx3oTN8/kUp9ff0tZiI0GAxcLreioqK8vDwtLS0oKIgcE7q8vFypVA7rvKYjhACwCwv9T46l/P1PFAqF8thTz8w935Au6f23nH4mxY0y0SPqQGH/d65z2rODvnz7MwqF8shjFMo3MzelschRXAgAwAE66mP2bHzooecoFArlX3/+6/6AOonE5ZsDAWDsyDpyZtJT7ufLIvq6DPaVMMKvlnifmfRkX8lvlNlsbm9vLyoqioqKOn/+fHh4eG5uLpvNrq2t7erqusUL73Qqb4FAUFdXV1NTQ45z19HRYbHc2Q81Pjbm0YcpsUlpAOAAcAJg1z/IlTA6YexHH30+/uM7Wvj9BxMB9/S29zfM+Ph0HpA3dvQAxUGT561/fd3JFox787nZls8K2vcZxe1QRFVDbwBoac46voHyye7jpXkmAwjP7xvrNuO94+k2TAlADutxfsqCNa+vP9Xm5Lo4UJEB+qF1By8fbyDDsVVSdSngU8o6r7AbStZ7hfSVICPPZDJVVlaSHfIqKioaGxuvHex5IIOcyttut3O5XBaLVVNTk5mZGRoaGhwcHBcXR05BOowzEbrUn3QdSugKikjI8ojoMVgGtyO6nvxrsK+8/krBdcmI0Gg0jY2NOTk5YWFhgYGBMTExxcXF5GFfoXA53A7Ab3Amwn4YhpnNZqPRqNfr5XK5XC4XiUQlJSVsNlun090mw9k1Vml9LYtZUlJCZzBLStraRfqrpz6HDqv3DAk9t/JMV3fv3CoEgN3Uw+Mx6BX0Ulopu7JWqnbg1xzPcQLXyuprGkpppQxmKb2zQ2ywDrg3EbjToOqoFfIFXQZw4GSJUdVRK+TzBy65Mw6Hg81ml5eXNzU1dXV1yeVyjUZjMBjIhuMDbpjBBWgcx202m9FoJGumJRKJVColO2r0Dy/44HHopT0N9ComnVZSWlZR1a6w6vr3ACVdRtvq7l/4c0Z/gw4cwKDgsJtKaXRGWQm9rZWvs1y3Szgsqi4Bk1FJL6GV1lZUiuUW58BX75hVI+5pruLLDArr9SU9tyj5LdLr9RwOp7y8nM1mSyQScs8nB2y+9e2ROw3QdrvdZDKZTCaynd+vmE+hKSfS/RXKO8uPzUp3JpqgEqABoA6gDqAeoA6ACnC4Ff5zvPW/v3v50Efv3dHC7z+YEDr8f3jH/euPztMA9AAARoCy0Gnz3V9b48/BXPX5q2lI8llCmep5il7S++Mqr4/0nk5ZtD+oqgZs4Ew6+emiZa/tuCwFMQCAHLQxh8eunvuGV4zBVZU2CtD3LQzD9Ho9+WM0Go0Wi+UW+aHfIAM0AJCnPHKWFplMJpPJampq6HS6UCi80yvnoYKpxfKILRGJqaeawfRgnnUHSy6Xk4Gnubm5p6dHoVDodDrysH+Lg/lvN0C7JBAIBjGn7kCxtq/cbiCqf0lNiT+QoZcb8Rv+6fIlt/7vLd9/sFd1d3plh2GYSCQa5Izw/W49lfetaTSajo4OvV7/INZAD/Rl9pXKqjTFPn5x7Igq+62ef03hHe0zg9pDRkdNwIizWq1SqVQsFg9izIfr3GmAvntGXhXzxPyFy78Zv2TP9r3Je/2pewMYe8/Q956h7z1L33umdO+RvMWbzr23YIXX/Ak1AfvvwSqNKBWoUo5PnTn/QzffNrsYAEBJ8I9te2vql69tD5JgLgbpB30X/eJP/3z2mx0hB8mxSXk/J3nOeu4V7xNpXAMAQHvm6ikb3/9iTlJPrQMAuLqsBd98unbs3LgGHHd1OYUC9G/L4AP0zdRqNZ/PV99+hqDhghnUivzIqvqGcjM4fruHfAAAg8HQ3d3d3d19R7kFBeihh5m0ktC9GSlxoVLQjlCDnpFyNwH6t8zcQG0N2BpaxSu4cUg75L5x7wM0AACI28O/jPrqdz88Mn46ZcmnD2344mG3Lx52++zhdV88vHYJZbrfy6+UbP29SeADILz9wu5vBICo1HPCtklvfuhTk9WBE10ljcfGfvy36f/86mIuhusAAHdiNqPVZrc5e/OCqaOwZNcf3py//sOfGnQGc/u5qTvnvzRma15sfe/lkzBizqHlL1KWXQmrMlpbMlNXPfTGki2fXOjEXPf+620Dve7g1bjc3RugQ28s8Qw5hgL0fe5uAjRyv3tgAzQ5CseI7NAE5rTLhBq1SuH8zfWwJgN0fn4+CtB3BDPpLFK+wmTTobPpfWuEAjTuULapmzP4ZWebkw43Ru5vjPZsjPZsjDrQGO3Znn9MUhthEjAB6+lrEf1gcwI3JMvn6/8+/uLLz7z08vN/f+EP/568LfJMrYVsGmXsLKUfemvnLyE+dFvvPICExCT52WvaB+9Qnnjt1Vf/THnrrXE7/Xjaq6NSYQVl0WumPvLXN55+9vln/v005YvFZ3PTB6wxtIqYZ3/+H2XJnqAjdb1xWVwe8PM7lCW7L9xQsnTX+cN1KEDf31CA/i2TyWQPZoCOjo4uKSkZiR2auOHv31SEttvtJSUlOTk5bDZ7pNp13X+IG/cZ5H5EEERubl5GRpZCoRyJdvydAGVgLQI7FexUsBWDnQrABtfDJD7AunqqIo8v+3bFrOkzZi+b/51vCFMk6Puftauk8Zc3l+07sy5ag/UmaCeAqDbQ23/W1/PnzZ0202/fiQoe2SO8r5Jaxy9IWrVk06yp02avW7jkSmqDwjDgD9Wh5ZcWH3MLTyvLFQNOAIBDKyBLGDeURKT2lyD3K4vF0tDQQE7ZjQL0b01PTw+TyUxPT3/QRuGIioqi0WgP3Jhoo53dbqfRaNnZ2XV1dShAI78pBEHk5ub3BejR1XjL5iTMdsLmIOwYOH/Lic0mBG7A6Yjio4lKfJDR9e6GHbi5y4qLEuS+RQZocnRXFKB/a6RSaVlZWXp6elvbsI/8ek9nIkxLS2OxWGiHvsccDgeLxaLRaM3NzagJB/KbQhBEfn52VlaaUinHsFHUXoIAOFZmXXxZ7RklO9sIpS4mFPmtcIgbu0M2BqaXBnegql9kCFit1tbWViqVWlFR8aCOH4UMRKFQ1NTUFBYW8ni84X6vexegHQ4HOSvKraZEQYYBOXYHn8+/t81AEWTkEQRRXBybnx+hUkkwbBRduhME4Rt4aeXuw4FROcHJeSW1v41ZvV1xKEQ9OWHMVl6NFdX9IkPA6XQqFAo+ny8SiR7I8aOQWzCZTBKJhMvlajTD3lLu3gVoBEGQe4wgcDo9iEo9o1YLR1WABoKoPvkV++jLIDiriNkqTT470iuEIAiC3AEUoBFktHDZDvP2g5//+vagg1mP2y3wDt/oHlcxEgROp1+kUs+OugANgMsbQVYJdgmm4DpUA0xYiSAIgoxKKEAjyOhhVwlNzAIDT41dM1MODnZLU5kqJ1mWlCaPT5HnVxpbDdeNsW/XWoV0eV6mLDZZlZFvEhhdTidxLVzToq3NlyWmyeNTdeVNNj0ADlfjrV1rFTLkeZmy2BRVep6Rb7jFAgmTwswtV7H5DuHNDXkJjDCam5hqKl1f0U0Y7Tf+q4FhqK61KMgBFoYBQeB0+iUqNeDeBOj+70QB0GABhhxocmgxA3bDv4EAgHY7dKAO1QiCIPcnFKARZHQgcNAqCy/wV0zhRdVbr06wYbeYm8V+GxtmfF795YyaT79kzd/B82WC8GrEdgiYkotrq7+dXfXh5/VfzeBdYlv4rt6hD+6wGIt+bt47n/XF9NoPxjVv9JOXEnBNZHcIK6SX3PoXyL1Yaxm4OwbWVS6JWF99MFqfcPOsIJjVye8+5lY7a0Hr6hgrR0lc+y+MLzmyonPnjz1MAMNgNtGdu8cBmmTDIF5g38Uwu6WYFscYj9AtDVan8aYbDIepVm8a6tSLIAhyX0IBGkFGCQP9ZOv2SfWTZvDDONa+KY5twgpx+Hr2npOKs4WWpkYDL4t74XDLZDfhBZZNAAA4KEv4l062zD4gSWcYqjO7L22vXXpWdqZmwLBoEenqYzhrD/B3XVI1Nhoyj3L27WtdlmRqU+EAQOAgL+WHnGyZvV+SRjdUZ0mCt9cuOyM7VT3QAvsCdIw+cYAA7b+pbuLH7M8Xdye12/XX/AsTSLxXdu7a+yAFaKLLBr80wmtzL772z0kHpryx6eWXP/v73L+vTr3YZb52FnKCIKZ86/b1d+uHf5UQBEGQoYcCNIKMKIJwyozcup6EJK7H943zv2ic840gqtkmBgCCAJuKGtGxaDLHP9/KIZ/v0NVEd66eU38gzUS3AmDW8mNNh3a2rc2wSQgAk4GfyFn2g2DnJb12gPfrrpDGfF+z+owyiBwls5Yffqxl0g+ywg4HAOCYrewY5/CO1tXpNjEBYDEIEjnLNwu2B+kH6NKMiViSKPca71h9ctfN/7U6BRL/zS2LvmxwW9/qU2IsMfe/zooJJH5ruT/ul1XAtfXfQ+ne10DTOJIPfgj9fNw3+6e+R/X8ItPtvcMzxn01beVMj5ifisRcrLc5B0EQ7739xofvvnUPVglBEAQZcihAI8hIIjDcQBeEH6j7bEbdcp+ODTt47rP5CRxrFwDgBHRIMkP5U3bLC/j9w6djXczuaPeaI/HGLAVO2FWXN7T67hSnqEAFAGDFuqS+K7n7vGRMF6mUADDWZ4sOT2u5UGCuxgCAALumPEq4fhovstYmBgy3qy5/3+azXZys7F0gLpIeXcX12N9T5rqe+OYATWBO3GrFrRiAw+oUSI5+L9i9uj0hvXVLlDqA3jeQ4gMaoGNi4ykUSobHBBCHAIgBWkB5ThT4xfhnpz7z3qmfGqwCB7lixNixYydMmHAPVglBEAQZcihAI8hIIjBCxlJWUxW5TcZOrjzlvGD9TH5so7U3i1rsapm1SejQ2ftb0No6qMLTs6t/DDdmCJ14t/T46s4DnrKy3gxqx82qS+vbjuwSp2pAfeOYFwQ4NOUxQvevuVHV1r5mzcb6TJHXtNbAIksT5sAl0hNrOvdfjcsO3KIK/r7tyA5xihpULgbRuBqgk7oBAECvbkzuXLWes+GSLq3RTAglx9fz9x8Ql2q1F493R11ScQFs8MAG6KiYGAqFkhd7FsAOgAM4ALSYrKHy5LKNn/7vidc3nK7hOQEAiE/GfjweBWgEQZD7EwrQCDKSCAJ0IqtGi9kBgNBURgrcZvKvNFhdtIYgWZS0yI7Vs1p+zrE2ae0Yt/vISq7HYXk1gAkAwOF0qiM2tvptF8VKQXHDnEUEAUYVPVywZgb/SkN/M2tTU57I7+vmgFxLrdGO8yQ+q7l7D8qr+haIYeqoTa2+W7tiJSB3MQlSb4A+Em/M7ALQGBrjuMf2cRbs4e5LMjE6zbhQ8tNa7n4fOQuwpitdaedFJ1odIgcAPJgBOjkq6k8Uiu/l4m6A67ZWd3rJ8QVT//HqzI2nT1fq253w7oRPP5sw/h6sEoIgCDLkUIBGkNGBIMCkKr18qwCN2zF1ITfIp23ybnm+EAOwOXiSIyu5+w7JWf0B2q6+vLHVd4coQQZK/Ka3MKsZEQK3Gfxodv9AH6bGXJHP1y3n8ixsswMXSPxWcz28ZP0LxBzqiE1tvttE8T2gcDGrV18NdKIxs95iLe7cuJwzf68kTQV6ALINtO8a7l4veQUAdEuLEoVfHFWXC3AA2wMZoMuS4r/6w5gZ22J92dBoc1quHXxDxhJdmDj+2Sl/n3DxeIP1+fcmfPUZqoFGEAS5L6EAjSCjw20DtNGsKebtW9Wy/kB3TLezBwDAOjoCtDTaveZUdLfvBcnhFS1Ho9QZAkxH5kaiL0AfkFcAEGBtL5b6bmiPrbQKMCdZOf2ABWirookT+/3Bj9/58PmZL69MLm5SXfNPDJM3lp1cdnjK2E//vopC+ePnU6beg1VCEARBhhwK0AgyOtw6QBvMnXldgbvql2wW+aaZZeRUHE6LvVNyaAXX4/DVFhdkEw7fHaI4KShvbsJhUjHCBWtn8GPq+9/iahOOOpMD50l8V3P3HpRX9gdopzpyU6vvNlHczW1CAAAwcVVP1MaaXUd47vt4B9ZwPFINmYr+f/YHaFkFgBXAwtXUBrT5pxhSWywglvive6ACNAEAYAQbg+k9f9/E9+ct3lnFbu9fld4/ulKaL270+nLql3+l/Lj68+FeJQRBEGQ4oACNIKPDwAEat2PqYt7FPfVffNN2vMTa1J9iMYuDL/Feyd13SF7RH6Bt6rDvW312ihPlrmqgLeqySMG6GfzoOqugt9TUmCPy/rrlfL6l3urAhZKjq7keXv2h1oHZ1eHubT7bRQky1zXQkhpp5Pc1s9cKt/qJWKkt3x2T7EnsG6zu+gBtBACnlZD0eAcpA2KUDoH02Hre3gcoQF+jDTSXoOgHkDe66HiJy0EUWOf7Ys3Z6fdwlRAEQZAhgwI0gowOAwVonVlZzNu7qmX9j6LIdivXSjivvsbuMCjOrW47sluSZwItAIANFPKfV3Yc8JAW46C/6T0A9LVpXR6T20JLLE29Jbrq+K4tkztDWVYeYLhJccGt/cjO7lwTaPoWeHJ15/4fpcU46G5cIABg4kpplHvN7kBNZKPVpOo5sanjgIe0zAwmAMBvCtAA4LCXhHREnWmJKJRtW8Y/5PVABmgHgAIMXHDePL85ABCAy2zSaktP8z1cJQRBEGTIoACNIKOD6wDtlFfLkg80rt/V7Z9vvWkYZtzpNGbvb/beyT3IwmQAYDMpqB0b1/N3n9J0AThvfD4AOHilkotL6/eEaxKlAADA604+0zFnRXdGi90KgGOmXM9m7+2dXhXOHgCwmxS0jk0b+DtPqoWuF4iJKiTR7jV+ScZsLQCYm852nN/H/zHX1moGANvNAZoA0DN4eYGNG/dz507r3OstfxAD9B1xUUmNIAiCjGYoQCPI6EAG6DCB24y+AE0QoFfSQjpXTG05kWeqNIPThjtsuNWKW2243UkAAO4kBIktxw9xvjquqZHg5hZlrnfNXO/uQ/nW3qXiBObA7U7C2df6wtCmop+snesp2pdhdVix9shmvwOcKed0bAkGAARGCJJa/Q9xJh5TV3fjllZlnnfNPO9uzzzrAOuNiSokUe41R2L1SWIAABBJ8y/zvtwoSeQ4bORQGzfUQAOATcdO466bWj3h4+b1fooKADMAbifUatxkJhxOwF20Ffl1G3XkAzRBEDiOO/tgGIYP1cdDEARBRggK0AgyOhAEmJRFQbzFn3Mv11m6AADDJVntZ9xZH4ytnrioceGG5lXrOCvXcZaualy1sdkn00wn++rZ1aXxnRsms1csa5y/sGnurNajVGNlX12xrlNTFdryc4o2qbWvmhO3aru6/Tdxlk9jL1/HmTm5aYOXOEaBX50kxaamJ3ZumMJesaxxwbdNc2e2+hUZWAOGT0xY1h26snJfhC5WQJZYO4pF3svq5nnLAmhagt99ZEnHlh1SxnUTGRKGNiX1J/b0zzgL9soYAAQAp067dRtnwzb1hXBcKh2qjTryAVqv19fW1ubl5aWlpWVnZxcXF7e3t9/+ZQiCIMgohgI0gowOBAE2YxtdGXpSUSFyaAAAI6QMSVZI55ET/IPeXM9DnR4HOz0Odv64v33fEW5QibWmd4Q0p7JdnenD9fXs2H5AeMhfVanA+jrxgUWgboxq3BmkCqD39z3EASx1V0TB+9t/PNi584AkPMckJZtn9GZop6pTneXL9fNs335AeOiEiiV3mmEguJqrZYYL0ios1X0jthm6dNWXeb6R6hiWCVTanDB5fJKuE+C6Smyj1VgrCQmQBiXruQAAUEo1jBvX+dzfdeO/xH18IDsbOjvBYnHxlnY7ZrU67XaMuF3bB4LA6fSLxcVnRzBAazSa0tLSkJAQf3//gICA+Pj4hoaGEVkTBEEQZKigAI0go9JQNYu1mbEuaXC6IZ7pqgHzaMJgwMSJ8Mc/AoUCjz4K48eDlxeUlYFGA3DNKHAAoNVaurq0PJ7GbL5NJr6mBrprpAK02WxuaWkJDw/39vY+fvx4fn5+d3f3iKwJgiAIMlRQgEaQUWmIArRDpO9O50VXmPKGqFHE8GEyYfJk+NPjQKEAhQKPPQbPPw8ffADu7pCUBKprJiSxWOwMhuDECUZLi/zWyyQIoqwstLT0glYrHsFOhGaz+fz580uXLl27dm1lZeVIrQaCIAgyVFCARpAHmV1mkZXJa7odHaN2CIo+VVUwYwb8+c+9Abr/8dxzMGMG+PhAVhZwuWCzAQDO4XSfOkUvLRVotQP1buzFZIbR6RcNBjlBjGTXvaCgoAULFixfvpzD4YzgaiAIgiBDAgVoBEHuAEGA0zn0DwAoK4MZM+DJJ28M0P2Pjz+GQ4egqgpMJlCrzWVlvISEJgajC8MGrK7HMHte3smsLD+5vN3pvFXUJggCGx4AgGFYZGTkpk2bduzYQQboWzwfx3Hito27EQRBkBGFAjSCIHeAx4PgYLh0CUJDex+XL0NExK0eV67AlSu3eU5CAnh5wdtvw2OPDRigH3sMnn0W/vtf2LgRAgJsoaH8DRtSNm1KSkriKJUuejkaDDIWK/rAgY+3bn05ImJNV1fNQB/K4XAIhcLCwsKCgoKioqLiIUWj0YqLiwMDA48cOXLixInMzMzy8vLi4uKb3ygvL6+4uLiurk6vv2kOHARBEGQ0QQEaQZA7IBJBYiIkJEByMiQnQ0oKxMRAYCAEBsKFCzc+Ll6EwEBi1y717t2as2dxl88hH5cvw+7d8MYb8Ic/DBigycfDD8PMmXDsmCM8XLx48ZVFi8JDQ2t7elzMxKLVdpeUBG7d+s+VK39/9ux0Ho850Iey2+08Hi8rKysjIyN7qOXk5GRnZ6ekpAQHB/v5+YWHh2dmZvaXXystLS0nJ4fFYul0ruZ8RBAEQUYNFKARBLkrOh1UV0N1NdTU3PhobISqKnzTppqtW+tKS+01NVBb6+JptbXQ2gphYTBuHDz++IC5mUKB55+HOXMgIACKiuxFRVJPzwJv70IWS2w02m9eMZvN2NlZ9ssvc7y9J+TlHVMouAN9BAzDNBpNR0dHR0cHl8vtHFLkAnk8XnJy8oYNG4KCgioqKrhcLo/Hu+E57e3tXC5XIpHYbLbh/MYQBEGQu4UCNIIgdwXHwWRy/XA6Qa/HDx6kHT1K12isFguYza6fCQBUKkyZAk884TpAv/EGbN4M8fHQ2goGA7S26sLCamNjGyorxUajfaBGw1arvqDgl5ycYz09rQ6HqzGlAQCAIAin02m1Wq1Wq81msw4pu91utVo1Gk1ERMTYsWN9fX0bGhpsNpvD4bj5yTabzW63o6kKEQRBRjkUoBEEGVZEQgI7Pb0B4DbjgFRWuuhE+NRT8M47sGQJnDoFVVVg7e0H6GCxhD//XFpRITKbbzO+dWVldEVFhMWiG7qxtX8NrVZ76dKlt956y8vLq7GxcQTXBEEQBLl7KEAjCDKMCILg8TRdXbdv1MtkXq2BJhtsPPsszJoFISHA4123wIYGWVxcY1BQFZ+vud27j/xMhABAEIRIJAoODp4+fbqvr29VVZXTOdrntUEQBEFuAQVoBEGGC4GD0w52G+Z0YLd9MpUK77/fW/H81luwYQNERUFLC6hUcG3aJAiiokJEpfJFIp3NdpvFjpIA7XQ6mUxmWFjYmTNnzp07l5OTo1KpyBHuEARBkPsRCtAIggwXAgenA+wAgxPtCaEAACAASURBVKluZTJh9mz48EOYPx/OnAEmE1wO5kYQwOOpu7q0g1qBq1N5j2SAxnE8Ly8vLCwsLS0tKCgoKSlJJpOhSmgEQZD7FwrQCIIMIwJAZACJ6fbPbG+H06chMhLq64fu3UdHgLbZbIWFheHh4YmJicHBwampqRKJxOEY9ZNDIgiCIANAARpBkGGEE1DMhLLq2z/TYgGpFFQqGMIx3EZDgDYYDI2NjaWlpeRo0Pn5+eTsKmq1ekTWB0EQBLl7KEAjCDKMcBwKMqG08DZPG6a5q0dDgJbL5QUFBSwWq6ysLDU1tba2trKyMiEhobu7e0TWB0EQBLl7KEAjCDKMCBw4pdDOGtJlEoDjBI4PNPrztc8c+QAtEonS0tLq6+vr6uqSk5NbWlqampri4uK4XO7tPwCCIAgyKqEAjSAIAAA4BtfX704RYFaDZVBd/gZLrba0tyvZbKnBcJvWHiMeoJ1OZ3Nzc3R0tEgkEgqF0dHRYrG4p6cnNTW1qqpKoVDc+1VCEARB7h4K0AiCAACAE8DZ25QCx8BuA4sZ7C5myB55BoOtvFx06VJVR4fq1s8c8QBtt9sbGhouX74sl8tlMll4eLhMJtNqtenp6QwGQywW3/tVQhAEQe4eCtAIgvQiCMAwIAhw2ECnAXkP6Iai5pgghr6pQnV19/79+YWFnRrNgBN0wygI0Gazub6+PiYmRqFQSCSSiIgIqVSq1WpzcnIYDEZXV9e9XyUEQRDk7qEAjSDIVWTS7R2/2QZ3P1QxQYBEolepzHe/btfSaCw0Gi86ur6oiGc2D5iMRzxANzY2FhcXV1ZWWq1WsVgcERHB4/HsdrtQKMzLy2Mymfd+lRAEQZC7hwI0giDDCMeJjIzWqCh2RYWwslJ8i0dFhYjBEA7mwWQKy8qEubkdu3dn79+fV1oq0OtdN4Ye8QBdWlqakZHR0dGB47hIJIqIiGhrayMIwmw2p6Wl5eTk3PtVQhAEQe4eCtAIggwjpxM/eLBo7tzIbdtS9+zJ2bs3f+/evLt8/Phj3sGDRT4+tOnTQ6dPDz1+nC4S6Vy++8gGaIIgqFRqeno6OeBGf4AGAKvVmpqampmZiQbiQBAEuR+hAI0gyDDCMNzfn3HkSHFNjbitTdHermprU97lo7NT1dKioNOF3t5Uf396Y6NsoFYcIxigMQxTKpVpaWkZGRnknCldXV39AdrpdBYWFqampvJ4PKvVei9XDEEQBLl7KEAjCDKMMAwPCKgIDq52OvEhXKxeb8vKaktM5FRVdWPYgJW4Ixig7Xa7VCotLi5mMpl2ux0AhEJhREREa2srQRA4jpPTE3I4HKPReC9XDEEQBLl7KEAjCDKMMAw/c6b8woVKo3Eoh8SrqZF4eOSXlPDN5lstdgQDtNPp1Gg0PB5PIpGQJQKBICIioqWlBcdxANBoNCKRSCQSWSy3GkgEQRAEGYVQgEYQZBiRATowcMgCNEEQVVXdV640REWxu7puM8zeCAZogiCcTqfNZrP3DabdH6AxDAMADMPsdrvNZiPzNIIgCHIfQQEaQZBh1B+gbztr4CARBMFgCHNy2tvalFbrbTLxiI/Cca0bAjSCIAhy/0IBGkGQYTTkARoAFArTIAeWRgEaQRAEGQ4oQCMIMoyGI0A7nTiGDarZAwrQCIIgyHBAARpBkGE0HAF68FCARhAEQYYDCtAIggwjFKD7oQCNIAjywEABGkGQYYQCdD8UoBEEQR4YKEAjCDKM+gI0awgDtM3mNBhser0Nx28zDzYK0AiCIMhwQAEaQZBhdM040EMWoNVqS3u7sq5OqtPdZpkoQCMIgiDDAQVoBEGGEYbhZ89WhIbWDO1i29qUMTH1bHaPyXSrWIwCNIIgCDIcUIBGEGQYkTXQZ8+Wy2QGjcaiUpnv/qHTWRsbZZGRdeHhtVQqT6k0O52uR7VDARpBEAQZDihAIwgyjDAMP3mybN++vKysZiqVV1IioNH4d/mg0wV0uiAnp33btoxdu7KLi3k6ndXlu6MAjSAIggwHFKARBBlGTid+/Dh9w4YUf39aQEB5YGDl+fOsu3+EhtaEhdV8+230woXRISE1PT1Gl++OAjSCIAgyHFCARhBkGGEY/vPPZR4eeenpnOzstuzs9qystrt85OS0Z2a2xcQ07NqV5emZX1TE02pRDTSCIAhy76AAjSDIMMIwPCCg4vLluqFdrFJpLi7mZWS01df33OJpKEAjCIIgwwEFaARBhhE5CselS9UOx1CmxqoqsZ9fCZPZZTajUTgQBEGQew0FaARBhlH/RCp6/dCMA00Q0NmpSktrCQys5PHUt3syCtAIgiDI0EMBGkGQYTTkU3kTBJGb25Ga2iIW6+z22yRRFKARBEGQ4YACNIIgw2jIAzQAKBQmhcI0mDYhKEAjCIIgwwEFaARBhtFwBOjBQwEaQRAEGQ4oQCMIMoxQgO6HAjSCIMgDAwVoBEGGEQrQ/VCARhAEeWCgAI0gyDBCAbofCtAIgiAPDBSgEQQZRsMUoAkCCIIYxNNQgEYQBEGGHgrQCIIMoyEfBxr+P3v3GR7Xdd/7HpFz7rn3nnNzbsmJ7eS4JLbjKidxolhdVtRpmSpWs2SJEjvVWSV2EmAHAZJgRQeISpBEIUCARMegTkHHDNp0YNBnML3t8r8vQMIEDQxAYhZBMr/P808eG14zs22/+Xo/e69FZDa7W1sHS0vVVuv0J3hPQkADAAALCGgAYGjiJMLYWIUgzH7DeI7cbn9Ly2BWVrtSOeLxcAFWIqABAIAFBDQAMMTzwvHj9fHxjRP/VBDE+Q8RjYw4y8s1Fy50NDT0BXiUAwENAAAsIKABgCGOE8LDq9euzU9OlqWlNaeltaaltcxz0tNb09JaY2Plq1Zlf/75pZwc1diYa9pfR0ADAAALCGgAYIjjhEOHJCtXZoeHVxw/XnfypPTkyYZ5zokTDXFxioSExrfeSn3zzdS4OMXgoGPaX0dAAwAACwhoAGCI54XIyJqdO0srKzUyWZ9C0S+Xz3cUin6ZrK+kRL1585WdO0vr6412u2/aX0dAAwAACwhoAGBoYheOkycbLBa30+lzOOY1drvP4fAJgtjTM5aY2Jia2lJXZ7TbvTO9oYiABgAAFhDQAMDQxC4ccXHB3IWD4wSptC8ioqauzuh0BspiBDQAALCAgAYAhoJ+kIooim1tQ5mZbadPSzUay2yLEdAAABB8CGgAYIhFQNfXG8vKNFqtJfAm0ISABgAANhDQAMAQg4Cm3t4xnW6We8/XFyOgAQAg+BDQAMBQ0AP6liCgAQCABQQ0ADCEgJ6EgAYAuG8goAGAIQT0JAQ0AMB9AwENAAwhoCchoAEA7hsIaABgiEVA+3y8zzenBkVAAwAACwhoAGBoIqBPn5Y6HNOftn0bHA6fTjfe2jpotXoCr0RAAwAACwhoAGBoMqCdzqAFtNXqqarSHTlS29w8EPhWNAIaAABYQEADAEM8L0RF1Z05I3W7Zzn05JYMDzvLyzWZmW1VVboA34yABgAAFhDQAMAQzwuRkTU7dpSUl/c2NBil0r6GhvlOY6NJJusrLOzesOHytm3FNTWGmR6wRkADAAALCGgAYIjjhP37JX/4Q+aXX+Zu3Fi4adPVTZuuzHM2bizavr00NLT8xRfjXnop/uBBicFgnfbXEdAAAMACAhoAGOJ5ITKyNiysvKHB0N4+2NEx3N4+NM9RqYZbWwcrKrQ7d5bu31/Z1DTgdE4fxwhoAABgAQENAAzxvBAVVR8TI+c4IYhfa7d7i4p6srI6Ghr6AnwzAhoAAFhAQAMAQyy2sSOipibT119frajQBv5aBDQAALCAgAYAhiYPUglWQIui2NhoyshoS05u0ustsy1GQAMAQPAhoAGAoaCfRCiKokSiKyjoUqmG3e5ZmhgBDQAALCCgAYAhFkd5Dw87Rkedc1mJgAYAABYQ0ADAEIuA9vt5np/TK4kIaAAAYAEBDQAMsQjouUNAAwAACwhoAGAIAT0JAQ0AcN9AQAMAQwjoSQhoAID7BgIaABhiEdA+H+9y+d1uvyCIgVcioAEAgAUENAAwxCKgx8Zcvb1jSuXwrHtLI6ABAIAFBDQAMHQ9oBtstqAFtMvll0j0Bw5UKZXDgVcioAEAgAUENAAwxPNCVFR9bKyc4+a08dwctbQMhodXl5VpxsZcAZYhoAEAgAUENAAwNBHQcXEK8frjyqI4r5lgtXoUiv7MzPaKCq0gzJjmCGgAAGABAQ0ADHGcEB5e/dlnedHRdfHx8vj4xvh4xfwnMbEpNla+dOn5Vauyz51rGxmZ/mBCBDQAALCAgAYAhjhOOHhQsmLFxQMHyo4cqTl2rP7YsbrbnqNH644dq4uKqo+Olp05I/3971PeeCMlJkY+MGCf9tcR0AAAwAICGgAY4nnhyJHa/fsrW1sH1GqzRmNRq83zGY3GbDTa1GpzTY0+NLQsPLy6o2PY7eam/XUENAAAsICABgCGJrexs9k8Ph/v8/Fe7+2Pz8d7vZzPx7e3D8XFyXNzVR0dwy6XXxSn3xAaAQ0AACwgoAGAoYmXCGNi5D5f0KrRaLSWlKjPnm3u7h4NfJYKAhoAAFhAQAMAQ0E/SEUUxaKinosXlRqNxeOZ/smNGxYjoAEAIPgQ0ADAEIuTCAcHHQMDdq93lnomBDQAALCBgAYAhlgE9NwhoAEAgAUENAAwhICehIAGALhvIKABgCEE9CQENADAfQMBDQAMIaAnIaABAO4bCGgAYAgBPQkBDQBw30BAAwBDLALabHarVCMNDX1WqyfwSgQ0AACwgIAGAIZ4XoiKqjt9Wupy+YL1nXa7t7bWcPq0tKtrJPBKBDQAALCAgAYAhiYCOjpa6nYHs1/b2gZ37y4rLu4dHXUFWIaABgAAFhDQAMDQxCMcx4/Xj425PB7O6+U8nvmOIIgmk+3q1Z74eEVBQZfZ7OL56Q/0RkADAAALCGgAYIjnhYiImi1bigsLOysrtRKJrqpqviOR6Kqr9cXFvevWFWzaVFherpnpYWgENAAAsICABgCGOE44cKDqvfcy16+/tHnzlS1biuc/mzdf3b27fO/eikWL4hctSggPlxiN1ml/HQENAAAsIKABgCGeFyIja/ftq2xq6u/oGGpvD8J0d4+2tAwWFXXv3l0aGVnT0TE80wPWCGgAAGABAQ0ADPG8EBVVn5DQGNyvNRqtpaXqK1d6lMpAG3EgoAEAgAUENAAwFPR9oEWR2tuHMzPbTpyo7+0dm20xAhoAAIIPAQ0ADDEIaLG+3lhcrO7uHvV4uNkWI6ABACD4ENAAwBCLO9Dd3aMajWVuixHQAAAQfAhoAGCIxVHec4eABgAAFhDQAMAQAnoSAhoA4L6BgAYAhhDQkxDQAAD3DQQ0ADCEgJ6EgAYAuG8goAGAIRYB7fPxHCfMZSUCGgAAWEBAAwBD1wO6IYgBbbf7DIZxpXJ41u9EQAMAAAsIaABgiMUd6PFxT2mp+sCBKqVyOPBKBDQAALCAgAYAhnheOH68PjExyEd5d3WNxMTIJBK92ewOsAwBDQAALCCgAYChiTvQUVF1Q0P20VHX8LBzaMgxzxkf93R2jly40B4XJy8s7B4Zcc70SDQCGgAAWEBAAwBDPC8cPlyzbt3ltLTGixc7srNV2dnK+U9eXuf58+2rVmV//HFuXl7nTPehEdAAAMACAhoAGOI44dCh6jVrco8dk0RHy2JjFcEYeUpKS2pqyzvvpL39dlpyctPQkGPaX0dAAwAACwhoAGCI54WIiJqtW68WFnaWlKhLSjQlJerbnuJidUmJurJSW1zcm5rasnHj5V27SiortVarZ9pfR0ADAAALCGgAYIjnhePH6xISFBP/VBSDMETU32/LzlZevtytUo0E+HUENAAAsICABoC5mohXIuoVqMhCmTrK1NG565OmpfN6Gp56L5jnhaiouthY+RyPPpmLtrahvLzO7GylRmMO/LUIaAAAYAEBDQC3YNwj1uu406Wu3edsoanjN872pPG96Vb9EHfj+smDVGy24OwDLYpiVZUuO1spk/W7XLM0MQIaAABYQEADwC0o6fE/ccD86u/V219pSf9YkfGJIu3ja5O8TJbxWeNwj/3G9SwOUhkacgwPT//W4E0Q0AAAwAICGgBuwaUq67+9rUyK7DaUGkyNg6bGwX7FtemTDZgaB712343rWQS038/P8YEQBDQAALCAgAaAW3A5f+S5Jxva6vqIPEQCkUDETx1x8lFpYhPQc4eABgAAFhDQAHALqotGl76gKG20BTpB+wYI6EkIaACA+wYCGgBugXfI3lOoCY0f2XzJl2Wg80Y6p782E7twjPzZLhwI6AkIaACA+wYCGgBugcfra+sY+ehj7eJlxrB0654Ma2jqtQm4C0cwA9rn491uv8fDCYIYeCUCGgAAWEBAA8AtKO7hnjpg/uT1jhOLZWkfK9L/bBeOIfa7cIyNudRqc2fniNPpC7wSAQ0AACwgoAHgFuRV2f7tD50XUzRjTX3X9t+QX5s+qal/xl04grYPNBG5XP7qan14eLVKNRx4JQIaAABYQEADwC0oyh956Wlpa/fw9T03Zt+FIyqqLiZG7vcH7SRCImpqGti/v6q8XGM2B3qbEQENAAAsIKAB4BZUF40ue1FR1mTzzL6W6FpA18fHK4J7GTabVy7vz8rqqKrSTwn2qRDQAADAAgIaAG5Ba6dj02HdiiMjO/O95w10wUhZ+muTrqULhpt34eA4ITy8+osv8uPjpWfPNp0925ycPN85e7Y5NbUlIUGxYsXFTz7JvXixY3TUNe3V3lUBrdFoYmJi2tvbEdAAAPc6BDQA3IIenfPQad2bH/W8+8X1XTjSrs225PG9GTfvwsFxwsGDkmXLLuzdW3L4sCQysjYiomaeExlZe+qU9NSphtdfP/v662fPnJEODNinvdq7KqCHhoaKi4sNBoMgBPNpFgAAuPMQ0ABwC/Ryc8pKefJyWeoaRdrUmWkXjiNHavftq2xuNvX0jPX2mnt6xuYzvb1jer21t9dcU6Pftav0wIGq9vYht3v6OL6rAppuejwcAADuWQhoAJiFi2jyrrLf4jHJB02Ng6bGwT75wI1jlJr6FdPvwnHyZIPV6vH5eK+X93i42x6vl/N4OJ+P7+gYSkhQZGcrW1oGnU7fTGF6twU0AADcHxDQABCIIFKD2lei8rcNi3o32YiIhOvDTzci3bwLR31MjNzvD9qDvyaTraxMnZTU2NU1yvOB7ukioAEAgAUENAAEwnHiofDRtzaMrLroPa4SKx3UTzT3Fg76QSqiKBYV9Vy40NHba3a7udkWI6ABACD4ENAAEIgoiKr6kZJMXXaCJilcG7vPdOaYZdNZx44y7ryeGmninvSMGAQ09ffb+vqsHs8s9Uz3TkDjyWgAgHsLAhoAZnQt7Px26huwlmkUJ3suhWnj9w98ET7waczI4Vzr2SpnYau3XsepxkjvpiGefFNjkMVR3rdw/Qsd0JP/YViJNF5SWqljnJTWa9M+TkorOfyEhAYAuLcgoAFgDkQiURQFn0AOgTNTp3EkR1m5X3H69c4V7/T/JnL8y6v8cRVlDdDIlHcI/7MH9KTCUdreQquv0soiWn312iwtpNVXqX1kAa8LAABuBwIaAG4JT+Qnt4sGrHblmF4y1JjfV5qlq7ygyzujO3vAMKCfcpIKAlo+4P19Yu+Tr5x87dcfbHjt2Y2v/8eG156dmM9/+8SG159VKRoW5MIAAOC2IaABYBZuIjuR44axEzmJPER+8hONk9Y03qhvyurNP6oeMbhv/CwCOr2uN+SpXQ/98JX9j/wqd8WP8lf9MHf5jybm4pLv5K74x6G2igW5MAAAuG0IaAAIRCDqIJIQ1c021cTXk8dGU47ZQ0BnZF0M+YsHsiLeJnu2wHcKQo/Ad14flcB3kuhYkAsDAIDbhoAGgEA4TjwTY/70y4FNm4f+fDZuHtqydXjnruHP94/+MXR4+f6hTv00B6kEN6AtFndX16hc3m+zeQKvvBsCOjfp7LdCQvKzjxMRET/d/tk4oBAA4B6DgAaAQHhOTDlo2v52996l6htn31L1gWXqiFXqnUs1S9/Q/uaxzice6lj2VndXh2vKx3khKqru9Gmp0+mb6SduldXqra01REfLurtHA6+8GwJaWX55yxM/PBiXlWsilZW6bKSyXpuOcVJZycERduEAALi3IKABICBRFIbGeG2/oDdNDq83CXqTaDDRwICqbXBX6sD7b7Yd+KPckKXixqYJ6OhoqccTzH5taxvctauspERtNrsDLLsbApp8auqOePbDfX/1TuHqq/RJGXbhAAC45yGgAWA2go94N/GePw15BfLXW/1xpfZT0caLR1slySqdxCgM2YibckzhxCMcJ07Um80ur5fz+Xivl5vniKJoMtkKC7sTEhqLinosFrcgTH8H924I6OYh2x/jS3/13Ree/q/f3fD6c5vefH79689NzOe/fXLD689hFw4AgHsOAhoAbs04UYeZijr8seWuXcnjMaf7ejM7yTBINM0TyTwvRETUbNtWUlLSU1urr6831tUZ5j3G+npjaal648bCzZuvSCQ6m236B6zvhoBOrdOF/MfBPzz0eNZLf5e7/Ed5K370p104Pvhfuct/NNRasSAXBgAAtw0BDQC3wEFURfT2edeb6/rPfaocrtSRY1yc4QYwEXGccOBA1XvvZa5ff2nz5itbt5Zs2VI8z9m8uXj37vK9eysXLYpftCghPFxiNFqn/fW7IaAzMi+EPPCNrHPriaQCpxK4ToFTXR+lwKlE7MIBAHCvQUADwIxu7GIdUWovnbzounBsoCBJL803DkpHyGwn4gJ8A88LkZG1YWHlUqmhudnU1DTQ1GSa5zQ3D8jl/Vev9u7eXRYeLmluHnC5po/juyGgC5KTfxAScrk4iYj+bP8N7MIBAHBPQkADQCAikclBkj4+psm9Ns+67dTwpQjjeH0feSw+Epw3nLEy8Q/4qR/neSEqqj4hoTG4V2W1eoqL1Xl5nS0tg4Eu/i4I6Jqiwhd/8rOvo7Ly+27ehUOJXTgAAO5NCGgACIQT6EgDv2jX+DMvaw4d6rjSrK8jbz2J9UQ3TQ1RA5Ft6scn94F2OIJ5kIpM1rdxY1FVldbtDpTFd0NAd+g1yyOP/D8v7v/bD4rWFNOn5X/ahWNZEa0ppvZZ9uIDAIC7DgIaAALxc+L2vcannmp94aGmla92fP2Zdsvuwa93Dm/aOrxpy9CN8+WGwS3bhzRatgepiKKoUJgyM9tSU1tmevT5hsULH9Dd8rKti//xjX/867d++ZP1rz+/4Y0X1r/+/MR8/vJTG37/vEohXZALAwCA24aABoBAeE7MPNyzZ4k88vPWAx+r96/UHVyu2bdUveejKbP3I3XoH3sjVmuM3VM2ZmYR0BUV2oKCLrXa7PXysy1e+IAeaKnIWfHzSyt+dPnjn+Ys+2HOsh/kLPvhxFx4/+9yl2EXDgCAew8CGgACEkVhcJTX9PF6E68zCXoTGQYEvYnX3TyCrp+MA+RlfpT3+LjHavXM5cW7uyGgRdExueHGn00HduEAALgXIaABYDaCj3gP8V4ij3bYnSJ3Wa1uohvPVfEQ+RSDzl2XLL3DUzqVRUALgjjHfSsWPqDFif+bdvONP+3CgXcIAQDuLQhoALgFV9p8Lx00l2n/9OyESDQkUu2wuCvb9tuvTU09U0KZRUDP3cIHNAAA3I8Q0ABwCwqvjD72YmPYFXvL9d2fhwRK7aNXD42/+V53+ieNo91T9uFAQAMAwP0HAQ0At2Csd7zoaNuHn/d+dXZc5qMjcm59lGXvF4b0w+qGi9oBxaDfwfwZ6LlDQAMAAAsIaAC4FZyH1ANRG5Wfb9BGXHEuiR1b/bXu3OddvjIduS1EAhHd+Hwyi4D2+XiHw2ezeXl+lmeHEdAAAMACAhoAbpEoUK+p+ljn8peUKQfatY0aEiwzHejNIqBHR53t7UO1tYbxcc8sV4qABgAABhDQABCIIFLVEGXo6KKBLhroQh9d7KMrGj6xyLJ+j37l19qwtNH8UcodonMGyjHSyNSm5Xnh+PHgH+Wt0ZgvXlS2tg46pj4xcpMFC+jrd8ZHieREVz10xUNXPXTVQ0VuqiTqvnOXAgAAwYeABoBAeIGSypxfJ1tDM2yTs/u888A58+EY3R8+1ry7cSAs0xF2zr4txbr3nE0/POVW9MQd6BMn6kdHnRaLe3TUNf+x270q1UhqaktSUmN5uWZszMXzwrQXv1AB7Scy+ulql/2MRBd2sXVzjOzraNnmGNnmGNlXZ6TbzzYevtp1rnGkadhvv/bUyx27NAAACAIENAAEInBicWR3/AfSlDWKGyd1jSJljeLsKsXZ1df+krhMlv5Z01CP/caP87xw+HDN+vWXMzKasrOVubmdOTmqeU5eXmd+fldWVvuqVdmffJJ76VKn2eye9uIXKqDVRNu6rQ+sLvn+3+5eFPLm8pDHV4Q8tjzk8eUhj68KeeQPIc8/8sCab/wm6V+TOkuJ7LN/HwAA3F0Q0AAQiCiIw8oxXXWfod40dQaMDQP98oF+2cDEX/Q1/caGAa9tyjMVHCccOlS9Zk3usWOS6GhZbKwiKJOS0pKa2vLOO+lvv52WnNw0NDT9YX4LEtCiSGsP1v36pQ0r3/hpwro/VB7e2hC/vSF+e0Pc9oa47dKE7bWnthXsWrfzw4defvm5J95NqWkaujMXBgAAwYKABoBZCbOdpTfjuXo8L0RE1GzefOXSpY4rV3quXOktKuqZ51y92ltY2JOR0bZ+/eVt266WlalneptwgQJa/PkvN//9//Zz7bF/I/UBIglRK1EbUStRK1EHkZyc2eKVN/f/7ichIc9knGu4MxcGAADBgoAGAIZ4Xjh+vC4+XnH9n4rzHyIymWz5+Z25uZ3NzYOCMOMTxAsV0P/60MOPPvIY0cQvCtMNuCUZLQAAIABJREFUT0RZmWkhId/IOn/hzlwYAAAECwIaABjieSEqqi42Vj7rns1zx3FCQ4MxPFxSX290uwNl8UIF9P5XfvzMg//wSspwdB/JibqJeoi6iLqJeonaia766PMGevi9Iw+HhNRkpt+ZCwMAgGBBQAMAQ9f3gW6w2YKzD7QoUk/PWE6O8tQpqVZrmW3xQrxEKIqqmDXb333kW29tf2tP4b5zysPFXREl3YeLuw4Xd0WWdh/K79wcK//ZJ9G/euatE0/9vL+u/A5dGAAABAkCGgAYCvpBKqIoFhf3FhR0Dw46/P7pd6+7YfFCHaRiHWyOzFkasuWb338t5JVHHljz8AOfPPLAmkceWPPvD3z2TMgHy//i8ZOPfUNx+kHOm0s0y/8MAACAuw0CGgAYYhDQZDLZTCb7XJ4JWciTCD16szROlRlWe/Sr0tB1pbvXlYauKw1dV7J7beWBDY1x2/quRHoMRUQWIkHEPtAAAPcUBDQAzJWXaJxoRLhheDITOWf+CIujvOduwU8iJBrxUp3TVuCwXnLaCpy2Aoclzy2W8KScbjEAANwbENAAMFfdRFd9lDlImQN0bpDODVKGifJsJCNyzfCR/6QBfV07UZafTujpuI5O6OmEno5pKH6USohsd/5qAAAgSBDQADAzkUQiG1GpTfwq173h4Ni2jaY9XxonZ+8Xxl3r+r/eObw2yR6n4kxEHNFN+0D/5wpokYjIRpRtp5djNS9/kPPuUxErHt264tEtKx7buuKxrSsf2fzh42FvLIp7ZlvDpjqrZmKvOzzDAQBwT0FAA0Aggkhl/dzWAusr2/rWLtMc/bAnaXVn8prOpNWdSas7z67pPLO8e9cS9Ztf6pfFjaSqvCOeKS34ny6giYgoV215J7Hib97a8ezPV6/9/tv7H3zh4IPP73/whf0PvnDol8/t+PHiJX+/9B+e/PKXm+P2VWt1U89uBACAux8CGgAC8fvF1RuG3n+1ozpcYW3QkmWE95t5zsz7zbzfzPNm0Tnq6+3vTGrZv6L5uVd1itYphwKyCGhBEOd4x3ah9oH+zQsJP/jvj+UuCxkpeJ8Gz3LePM53ifPmcd48jisQbOd97YdbD373s4f+7//yv3+Wk991Zy4MAACCBQENAIH4/OKbH/WsWakio5n8LiIvkX/q+Ehwk82WHa9/6OnWOpnjxo8HfR9oIhof97S1DZWVaWY6wXvSQgX0jx984xff/1dSniV/I1Ef0egNM0Y0RNRN1pKUsM9CQr6bfu7KnbkwAAAIFgQ0AATi94ubPm1fv6lLOU5DIlmJnFPHTjQiklGgmMzRxc/KmuTWGz8+cRJhTIzM5+ODdUl2u08m609Obm5vH/J4uAArFyqgf//kz596+FfVg2QgGiOyEdmJbNf/wTjRAFG3SKHHM/86JKTgXMaduTAAAAgWBDQABCJwYsUB5Ybl7c8cs4W3CqVekhJJiRqIGohkRBKR0k301jn3ohW6PS8oDE1TtpfgeSEqqj4hoTG4VzU+7qmrM2RlddTUGAIsW6iTCC9//OvX/+X7f/lp+fIKz3kXlRCVEZUQlRCVE10mOmGgH53Q/9W/b/gwJKQ9+8IdujAAAAgSBDQABCKKok1jqbqg3bulI2ytdtfGga93Dn+9c3jzzuHNO4e/3jW8bcvgnrXG3RtUyUdV3ZUGj3XKoxocJ4SHV69bV5CSosjIaM3IaEtPb53nZGa2ZWS0xcUpVq3K/uKLS3l5KrN5+m30FuolQqvqUuHpj5b9/hcfPfHHD5888ObLMW/8LvbNl2PefDnmjd/Fv/v88RWPff3+84/v/vihxtQvnYOdd+zCAAAgKBDQADA7/4il+6wyd4My6sPusCXqsCXqPUvUe5aoQz9Qhy/pSVnTKTvSMd6kJ3LddK4exwkHD0qWLr0QGlp88GBVeHjNoUPV85+oqPqTJ+tffz35tdeST51qMJns0172Qm1jR0TcSGHHwV8mPPPrjX//2pLvL/3ge8uWfH/pku8v/eP3lq/+/rv7f/F8yYqfjBa/T6Qk8mIXOwCAewsCGgDmQCSBEwTexluHeY2J15h4rYnXmni1iR8cFPxmgfOJwjSf43nhyJHavXsrGhv7u7pGurvHurpG5zk9PWOdnSN1dYbdu8sOHKhqbR10uaaP44U8SEUkwe/h/PX+sSRf+2FfW7iv/bCv/bCv5aBPe8LvyeP9fSIvEk33nxoAANzdENAAMJvr90ftJPYS1+zyNTt9LS5fi8vX5PApyT84cwVO7MJx8mTD+Ljb6+U8nnmN281NvDWo1VoSExvT0loaGowOh2+mbe3ugqO8XUR9xHcT30V8N/HdxHURaYhGZ/kcAADcxRDQADALP9GwnxRGPkfpi6v3nLjqPnHVfaLYfaLYffyK+0ylJ73VK9FwWqvo/rMEnHiJMCZG7vcHbRcOnhfq64379lXW1hpcrkCnkCz4Ud6BWb1i44DQavD1DPN9PvIgnwEA7hEIaAAIRCTSE53Qcr85OP7G28a1z/aEvaja86Iy7EVV2IuqvS8qNz/ftfS32qc2jHxS4m4kck/9+ORBKg5HcPaBFkVRLu9PTW2Jj1fo9eOzLb6rA7pa537ihOHVg73rM4ajtKRfgLMaAQDgdiCgASAQjhePZNpWbzMc2N6Rf1KtyDK0FhpbC42tl42tl41tRcamHENlou50mHL95p4vI8d6jFM2Zg76SYSiKMpkfRUVWo3GEngTaLrrA7qjqXLLiscz4nZUFiRfOXt8pE+30FcEAABzgoAGgEB8fvGdpYYPFreZLqiof4DINs1RKo4xb3Vv9Ib2h57oqpdP2VGOQUCTVmvp67PNvvSuD2hrZ0nLvp/7FduoK344dYfHiDO9AQDuDQhoAAjE7xc/WKVcv7nn+h/EGYYKi0aefKlRqrj5IJXgBjQRiaI401uDf7byrg5oEnjB7xYFHwmcyPlo2n1MAADg7oOABoBAOL8Qs6nt81XKXeX+y2PUSWQgMhDpifRERiI1Ub2Xotpp9W7TyieknbKbj/IOekDP3cIFtMgTaYgqRJILNPHv3EekJaohuuKiUi+1Elmm++AdvEgAALhNCGgACETgxe4LuqgdnYt39e/MtCXVetJbPemtnrRWT1qrJ6PNkyL3HC90/iFieNmXvVkbO0Z7nTd+/D9nQHuIGkZ9uyo1m1Kad5/rSGweHONErcu3q1LzdXrr5tjGLYlNX11SJSlHRgQK2u4kAABwpyCgAWBW3HDHQEmYPOqNtvXPdS9bpF26SLtskXbZIu1Hi3SfvKDeu0h5/gtF5yUlz5mJ2L5EeEsWKqArOfogvivkLz99KeSpZ//ba3/x1KlsvS2rVhvyl58+FfL85yEPL/uLJ//fkDd+8ELCmT4auGOXBQAAQYKABoDZiW6vpW2ku7RPel5flaibnMoEXW2avvWycVA66BuyEnFE4o2PIbAIaI+Hc7n8Pt/st24XJKBFkVaE5vz740t3vfBQUeiKiuMbT21ZsWT/pbfWxu164aFL2z9SJIXWnNoS/f4z7z7x7D+/ur9CobszFwYAAMGCgAaA2fwpiL1EVnKOkXOMXGPkHCPHGAkWIudMH+V5ISqq7vRpqdMZ6MSTW+JwePX68ba2IavVM8uFL0xAiw/+07u//J/f8xYtJ7pKJKGWvf/07Oc/fuxDX9EKEnKJeomaSXcg4eOnQkK+l5FZcmcuDAAAggUBDQC3RCRx6lzfhWNaEwEdHS2bdc/muXO5/LW1hqNHaxUKU+CvXaiA/rd/f/jRRx8l8fr/ZhB9D/36kUcee4Jo4hoEIoGIzmemhYQ8kHX+wp25MAAACBYENAAER49ZPCkTEqu4vHahxkE2gej6IxwnTtSbzW6fj/f5eK/39sfn471ezufjdTpLQUFXSkpLaalmfNwjCNMX/EIF9Cs//+mDP3w0uZ/aiZqIYtW09KkH33nkJ6FSkhD1E3UTJY3QKxvTvhkSUpSZcWcuDAAAggUBDQDBIe/1fnJ6dH/qeEKJM7vdM+oSiIjnhcjImh07Sisq1FKpUS7vl8n65jnNzQONjabSUvWGDYWbN1+trdXP9ID1QgX06ZWvv/PrJ9/eXRVa0Bta1LP0SEXqhtciP3r+Vx+lfJnaHC01HqnofS289KlXPvvkX76rrLxyZy4MAACCBQENAMEx0DZWcUAxKtM5Wvq0WVr3kJuIOE44cKDqvfcyN2y4tHnzla1bS7ZsKZ7/hIaW79tXuWhR/KJFCeHh1UajddpLWrB9oC358sjffxTyXx4Jee23/9dvDz/6l8PKs8qrCUtCvvFUyHP/+sCmR/7y44+/883c1d/1th0gj+HOXRgAAAQDAhoAgsNr8VjaRmjcTuNOj8bGuzi6dge6dvfuspoarVTaJ5X2NTTMd2Syvro6Y2Fhz/btJfv3V8rl/TO9obhwB6lY3dqCutMf5m1ddXXvl125WwWf0W1RNUQvvbxr1YVN63K3rpXFrRtVRBOvIfLi9BQAgHsLAhoA5spHZCUaE/40ozxZiFwzf4Tnhaio+oSExuBeid3uLS/X5OZ2NjUF2kZ5oQJaJCLyEbWTP5d85UQOIiJyE7UTf5nG08lxgUhzw8uXSGgAgHsJAhoA5qqHqJijrCE6N0RZQ5Q1RJkDdMlOcqKZ9pObeInw9GmpwxG0beyISC7v37TpSmWl1uUK9LULdweaiEQigUSORP56H0/+hSORm9iIAwAA7kUIaACYmUgikZ2o3Ebb8t1fRZi3bx7Yu6Fv7/q+PRv69mzo27u+b/cm05awkY0pjqQufmDiHEKWB6mIotjSMpiV1Z6U1KTXj8+2eAEDGgAA7lsIaAAIRBCpYpDbVmj73ba+L5ZqI9/vSVjZmbiyM2FlZ8LKzqSVnac+6trxvvr3XxiWxY+md3tHPFOeRmAR0GVlmkuXOnt6xrzeWfaWRkADAAALCGgACMTvF9dsGvrgdWXVIYWlTiuODfu9Zr/P7PeO+b1jfr+Zt496u/uViS37VzQ//7q+sXVKKLM4ytticVssM+79fCMENAAAsICABoBAfH7xzY96Vi9XkX6MfE4iL5F/6vhIcNO4NTtW99DTrXUyx40fZxHQPC+K4pzeururAnp0dLSmpmZgYEAQ8PQzAMC9DQENAIH4/eKGT9vXb+ruttMIkY3INXUcRGNEJpHis0Z/96ysST5lS2YWAT13d1VAazSamJiY9vZ2nucX9koAAGCeENAAEAjPiWX7leuXtz8bZTvcJpT5SEYkI5ISSYkURNVEmQP0TpZn0Up96HNyQ5NtyscR0NfpdLrk5GSVSoWABgC41yGgASAQURStveaKLE3olo7Q9brdmwe2hA1vCRveGjq8NXR4y56RHduH9m7o27GxM+GISlVq8Iwzfwb6Vi4eAQ0AAMGHgAaA2flHLD3JHdnrlJHvd+/4o3rHH9W7/qje/b561/vqQx/0nF3dKY9otzbqiFxEgshyGzsi8vt5l8vvcPhmfY8QAQ0AACwgoAFgDkQijuf8Np95yNtr8vaYfL0mTm3ie/uFgUHRZxb9PuLFPz9Rj0VAj446OzqG6uuNVutM57dcv2oENAAAMICABoDZOYlaiNwkEHmJdxO5RdGjdPkq+n0FBu6KWewicl9ffGNE87xw/Hjwj/JWq83Z2cq2tiGnM1AWI6ABAIAFBDQABCISmT1U0s0dKXMbzNf2X3MSVfdTWJlnZ65rV5Yz9IIzqsF9pY8b8hA39R70xB3okycbLBa3zea1WNzzH5fL39U1mprakpLSLJHoxsdn3BMaAQ0AACwgoAEgEE6gY3LhrR0jK1/u7Gp2EhEvUnYfLY91PPmSat8HTRc/kyeubnxtUdfvNowdbSXT1KcqeF44fLhmw4bCzMzm3FzVpUtdeXmd85z8/K6Cgu6srPY1a3I+//xSQUGX2eye9uIR0AAAwAICGgAC8XPix4dMH33aVX9W4xx2ExHHi1+dGlq5tjv/sEpVoO9vMGkq+6qie/ds7n5rs75VPaWgOU44dKh6zZrcY8ck0dGyuLjG2FjF/CclpSU1teWdd9LffjstOblpaMgx7cUjoAEAgAUENAAE4vOL7y3tWL+ulXgLEU9EvF9856OODSsayThA5Jl4wZBcY+WxnQ//Rlovu/kglYiImq++upKT0375ctfly90FBfOdwsKegoKujIzWtWvzN2++UlzcOz4+/duECGgAAGABAQ0Agfj94pKVytVbe8au/4XnxPdXKNd/3X3TyqIrI4+/oGiQ33yQyvHjdXFx8onHlDlOmP8QUX+/LT+/Mztb1dg4wPMznoyNgAYAABYQ0AAQCOcXor9qX/1B+8YMZ76JNEQGogsp3SdOadI6ySSSn0hPdHGIQs+MbHlDqm65+Q50VNSfAjooeF6QyfoiImrq643YhQMAAO48BDQABCLwYtd53bG1HYtXaHemWJMbfZkdnvwc3f4oze8iLLFST1kfl97u2XDOFhpuqI5U2o3OGz9+fR/oBpstOPtAiyKp1eacHOXx4/VqtXm2xQhoAAAIPgQ0AMzKP9hmurpLfuyNto3Pdi99WffCioFHl6gffbHp8ZWGl5YOrnxZm/JFU/elLp5z33SWStAPUhFFsbi4Nz+/y2Sy+3yzlCgCGgAAWEBAA8DsRI/H3DrcebWvPkNfFqvLi9PnnOrJj2i7eKIn97S2Il6nrzB5B23X6pnlUd6iSEajta/PyvOzPxOCgAYAABYQ0AAwmz+VqpfISo4x0pmoq5/UJurqI4OJXGai6d/kY3GU99whoAEAgAUENADMnUgkkiiSIBAv/On/izPeDEZAT0JAAwDcNxDQAMAQAnoSAhoA4L6BgAYAhhDQkxDQAAD3DQQ0ADDEIqCFGQ9OuRkCGgAAWEBAAwBDk/tABzGgx8c9nZ2j9fXG8XF34JUIaAAAYAEBDQAMTZxEeOaM1OUKWr9arR6JRHf8eL1KNRJ4JQIaAABYQEADAEM8L0RF1cfEyDluzg9ezIFSOXzwoKS0VDM66gqwDAENAAAsIKABgCGeF44erTtypLavzzo25hobc42OzmvGxlx2u7e3dywnR3n6tDQnRzk4aJ+pzhHQAADAAgIaABjieSEiombLlisFBcrycnVFhba8XDOfqajQVFRoJRJ9cXHvl1/mr1tXUFamsVo90/46AhoAAFhAQAMAQxwnHDwoWbIka+vWwt27y/bsqQwLq5jnhIZWHDpUHRFRs3hx4uLFSceO1fX326b9dQQ0AACwgIAGAIZ4XjhypHbPnnKp1KBQ9Mtk8xqptE8m629pGayvN2ZnK3fuLImMrG5tHZzpDUUENAAAsICABgCGeF44frw+ObkpuF/b328rL9eUlKi7u8cm/jLtaeIIaAAAYAEBDQAMTWxjd/q01On0BeULRZEaG01paS2xsXKt1jLbYgQ0AAAEHwIaABgK+kEqoijKZH0lJWqlcsTj4WZbjIAGAIDgQ0ADAENBP8pbFEmjMRuN1rktRkADAEDwIaABgKGgBzQRCYIoCNM98vxnENAAAMACAhoAGGIR0HOHgAYAABYQ0ADAEAJ6EgIaAOC+gYAGAIYQ0JMQ0AAA9w0ENAAwxCKgvV7O4+F4Xph1JQIaAABYQEADAEMsAtpm8+r140rl8KzfiYAGAAAWENAAwFDQ94EmIrvdW1amCQsrb28fCrwSAQ0AACwgoAGAoYmjvBMTG4P7tV1dI7GxcolEPzbmDrAMAQ0AACwgoAGAoYk70CdPNpjNrvFxz9iYa/5js3nVavPly11JSY1XrvRYLO6ZtoVGQAMAAAsIaABgiOOE8PDqzz67FBNTn5zcePZs89mzTfOftLSW5OSmjz7KWrHiwrlz7SMjzml/HQENAAAsIKABgCGOEw4dqv7kk7zTp2sTExXJyU1JSfOd5OSmc+faMzPb3n034w9/yEhNbRkeRkADAMCdg4AGAIZ4XoiIqNmxo6SsrLemRl9ba6ip0c9zpNK+6mr9hQsdX399JSysvLbWMNMbighoAABgAQENAAzxvBAVVRcbK+c4QRRFjhPmM36/wHECEel0luTkpvz8rq6u0Ym/TAsBDQAALCCgAYAhnheioupjY+U8P/17frehq2u0qKgnJ0elVpsD1DMhoAEAgA0ENAAwNLkPtM0WnH2gRVEsLVWfP9/R3Dzods/SxAhoAABgAQENAAyxOIlwYjM7HOUNAAALBQENAAyxCGieF0VxTg+EIKABAIAFBDQAMMQioOcOAQ0AACwgoAGAIQT0JAQ0AMB9AwENAAwhoCchoAEA7hsIaABgiEVAc5zg9XIeDycIszwJjYAGAAAWENAAwBCLgB4ddXZ1jbS0DDocvsArEdAAAMACAhoAGGIR0C6Xv67OcORIrUo1HHglAhoAAFhAQAMAQxNHeZ85I5v10JNb0tRkCg0tKy7uHR11BliGgAYAABYQ0ADA0ERAx8bKZ31e+ZY4nb7GRlNGRltpqcbvn7FHEdAAAMACAhoAGOJ54fDh6rVrC86eVWRmtp47137uXNv85/z59tTUltWrsz/7LC83VzU25pr21xHQAADAAgIaABjiOOHgQcmSJee3bSsKDS3bs6ciLGy+s2dPxeHD1RERNYsXJ77yStKxY3X9/bZpfx0BDQAALCCgAYAhnheOHq09dKiqq2u4r89qMtn6+623PX191v5+6+ioq7/f1tBg3Lu34siRmu7uUa+Xm/bXEdAAAMACAhoAGJp4Bvr0aanD4RVFkUicJ0EQfT5eqRxJS2vJy+tsaxvyeDhxhuerEdAAAMACAhoAGJoI6Ohomds9/U3i26DXjxcWdkdHy7q6RgOvREADAAALCGgAYGgioE+dkjocwdkHWhTFkhL1pUudev24xzNLlCOgAQCABQQ0ADAU9INURJF0unGdbjzA7nU3LEZAAwBA8CGgAYAhFicRzh0CGgAAWEBAAwBDCOhJCGgAgPsGAhoAGEJAT0JAAwDcNxDQAMAQAnoSAhoA4L6BgAYAhlgE9Ey7Pk+3EgENAADBh4AGAIauB3RDEAPaavX09IzJZP1WqyfwSgQ0AACwgIAGAIYmTyJ0On3B+s7xcU9Vle7kyYaurpHAKxHQAADAAgIaABjieSEqqj4mRs5xQhC/tqNj+OBBSVmZZmzMHWAZAhoAAFhAQAMAQzwvHD1ad/RorclktVjcFovbbHbNcxwOX2/v2MWLHdHRskuXOoeGHDPVOQIaAABYQEADAEM8L0RE1GzdevXKlc6qKm11tV4i0c1zqqv1tbWG0lL1unUFGzcWVlRordbpH7BGQAMAAAsIaABgiOOEgwclS5Zkbd1aGBpatmdPZVhYxfwnPLw6MrJm8eLExYuTjh2r6++3TfvrCGgAAGABAQ0ADPG8EBlZs3t3WXW1tq7OUFtrqKmZ79TVGSUSXV5e544dJYcOVSkU/TO9oYiABgAAFhDQAMAQzwvHj9cnJzcF92vHxz3l5ZrLl3s6OgJtxIGABgAAFhDQAMAQi23siKi+3rh589WaGr3HwwVYhoAGAAAWENAAwFDQD1IRRbG5eSArqz0lpcVotM62GAENAADBh4AGAIaCfpS3KIolJer8/E6DwerzzVKiCGgAAGABAQ0ADAU9oInIbvfZ7V6eF2ddiYAGAAAWENAAwBCLgJ47BDQAALCAgAYAhhDQkxDQAAD3DQQ0ADCEgJ6EgAYAuG8goAGAIRYB7fVyXi8nCMKsKxHQAADAAgIaABhiEdA2m9doHO/uHnU4ZtlbGgENAAAsIKABgKGg7wNNRHa7t6xMs3dvRUfHcOCVCGgAAGABAQ0ADE0c5Z2Q0Bjcr1WphqOjZdXVeovFHWAZAhoAAFhAQAMAQzwvREXVnzoltdk8drt3fNwz/3E6/TqdpbCwKyWlubRUbbN5BWH6PaER0AAAwAICGgAY4jghPLz6iy/y4+OlqanNaWktqalBmIyM1uTkpmXLzq9alX3+fMfoqGvaX0dAAwAACwhoAGCI44RDh6o/+STv5MnahAR5UlJTYmLjPCchoTEjozUzs+299zLefTcjNbVleNg57a8joAEAgAUENAAwxPNCRETNtm3FxcXdEolWItFLJLrbnqoqnUSiq67WV1Roc3JUX31VtGtXqUSit9mmf0MRAQ0AACwgoAGAIZ4XoqLqYmJkPh/P86LPx89/iEins6Snt168qGxpGfD7Z+xRBDQAALCAgAYAhiZeIoyNlc/0nt9t8Hi42lpDRESNVNrndgfKYgQ0AACwgIAGAIaCvg+0KFJn58iFCx1nzkh1OstsixHQAAAQfAhoAGAo6CcRiqJYWaktLu4dGnIEeHjj+mIENAAABB8CGgAYYhDQZDCM9/XZ5rYYAQ0AAMGHgAYAhoIe0LcEAQ0AACwgoAGAIQT0JAQ0AMB9AwENAAwhoCchoAEA7hsIaABgiEVAi3PeEA8BDQAALCCgAYAhFgHNcTzPC3NZiYAGAAAWENAAwBCLgLZaPSrVSGWl1mx2B16JgAYAABYQ0ADA0MRR3mfOSF2uoPWrzeatrTWcOiVtahoI/LUIaAAAYAEBDQAMTQR0XJx87g8uz4XN5pVK+zIz2ysqdAEe50BAAwAACwhoAGCI54XDh6s3bCjMzGzOzu7IyVFlZyvnOXl5qtxcVUpKy5o1OV9+mX/5crfFMv2zHAhoAABgAQENAAxxnHDwoOSDD7K2bCnctas0NLR89+75zq5dZQcOSA4frl68OHHx4sSjR+tmOpgQAQ0AACwgoAGAIZ4XjhypPXiwSqkc1OstBsO4Xm+Z5/T1WTUai1Tat29fRWRktUo14vFw0/46AhoAAFhAQAMAQxPPQJ8+3eBweEVRJBLnQxBEURSJqL/flpranJnZJpP1u90zljECGgAAWEBAAwBDEwEdHS1zu6e/SXx7GhqMO3eW1tToA9QzBQhogfO7rUMD/Vq1ure3p7u7u0ej1ZtGrA7v3DaYvh0IaABJz2o7AAANc0lEQVSA+wYCGgAYun4HWupw+ILyhaIo1tcbU1KaU1JajEbrbIunD2jePqCvTVm/7O2H/umf/vkXP/vJj3/wi18/+fxHW+PzGo0jrG5UI6ABAO4bCGgAYCjoB6mIoiiT9ZWXa9Rq80yPPt+wePqA9o50NWVsfPznf/d//o9vPr7orbf++N6rv3v+3//5l48+8/bGg8ltA04Pg8RFQAMA3DcQ0ADAEIOApv5+29CQY26Lpw9o90BrbezSn/7tf/+bf3xkT0ZVhaK1+PyZre/8+q//6ze+/Ytn9uW0GSzBuV9+IwQ0AMB9AwENAAyxOMqb5wVBmNO5LDMG9FBbQ9Kqn337f/744bdye72jPiLeOq6TrHz2p9/96+88vPRMnWowWFc7CQENAHDfQEADAEMsAnruZg7o9oak1T/79jd/8sg7+VrOfu3P1qMfP/sv3/3Wd57+ulCmCfrFIKABAO4bCGgAYOguDug1P//bb/7oodez2izma89reBO3vv4fv/jOtx/5NLe+K+gXg4AGALhvIKABgKF7IKDbLWPXAtofvX7R4z/81t8+vr6goTfoF4OABgC4byCgAYCh6wHdEMSAdrs5m83rcPgmDlUJIMAz0PVJq376rb/52ePvFQ+SQEQkOrTVq5778Xe+9b8eXhlb0zkUrKudhIAGALhvIKABgKHJfaCdzqDta2GzebVaS2vr0Pi4J/DKGQN6sK0+YeVPv/3/fe+fX06s7+scsOpaKvOjPvuX733r73729Kb0Js3oLN88K1EUOY7zeDw+37V/4zcFNM/zXq/X6/UKArOzWwAAgA0ENAAwxPNCVFR9bKyc44KWiRwnNDWZTp+WKhQml+t2TiL0DLY3xK/4xXf/KiTkv/30sRef++3LTz36z//w7f/xnZ88vXRLTKfFN//Y9/l8g4ODzc3NPT09E3+ZDOiJYh4YGFAqlSqVyuGY05Z8AABw90BAAwBDPC8cPVp37FjdwIBtfNw9Pu6xWNzzHKvVo1QOZ2W1JyY2Xr3aOzLinKnOZwpoztavrUpYv+rdJ596+vlFLy/67Usvv/rqm0vXHDx9rq7NEJQzx/1+/+DgYHFxcWVlpcvlIiK9Xp+cnNzZ2SmKIs/zCoWirKyss7PT6XQG4wcBAODOQUADAEM8L0RE1GzfXlxS0l1To6+rM9TWzndksn65vL+0VL12bcGmTYUSic5mm/4B65kCmjiPa0RbV1GcmXI2KS7mzKkTZ7NyKpVGT/AephBF0W63FxQU5OXlDQ4OEpHBYJgMaJ/PV1RUlJubOzQ0xHFBKXYAALhzENAAwBDHCQcPSj78MGvbtsKwsLK9eyv37Jn/VBw+XBMZWbt4ceLixUlRUXX9/bZpf33GgCZRFDif1+NyuZxOh8PhcLrcXj8/p9NZ5kwQhOLi4pycHJ1OR0RGo3EioInI7/fn5OTk5ubiAWgAgHsRAhoAGOJ5ITKyZufOkvLy3qoqXWWlrrJSO8+pqtKVl2tycpRbt17dt6+iocHocEz/0PLMAX2H1NXVXb58uaOjw+/3TwR0T08Pz/MWi+XSpUvFxcV3/pIAAGD+ENAAwBDPC8eP1ycnNwX3a61WT2WlrqCgu60t0H5zCx7QPT09VVVVVVVVTqezv78/OTlZp9N5PB6VSlVcXCyXy+/8JQEAwPwhoAGAoYlt7M6ckQbeLuNWSaV9W7YUV1fr3e7b2YXjjvF4PK2trWfPnh0eHh4YGEhKSjKZTBaLJT8/v7q62mg03vlLAgCA+UNAAwBDQT9IRRTFtrahCxc6EhOb9Prx2RYvcEDzPN/R0ZGYmDg4OGgymZKTkwcGBsbGxnJycurq6iZeLgQAgHsOAhoAGAr6Ud6iKBYX9+bmqnS6cZ9vliP9Fjyg/X5/Z2dnZmamwWDQarVpaWkGg8FkMuXm5jY2No6Njd35SwIAgPlDQAMAQ0EPaCKy2bxWq2cuJ7MseEATUX9/f05OTmNjo0KhyM7OVqlULS0tqampE1tzAADAvQgBDQAMsQjoubsbAtpsNldVVdXW1lZUVEw8uVFTUzOxA/SCXA8AAMwfAhoAGEJAu1yu3t7eysrK3Nzcixcv5ufnl5SUSKVSq9W6INcDAADzh4AGAIYQ0ETk9/uvXLmSkJCQk5MTExNz8eLFgYEBHEAIAHDvQkADAEMI6AklJSVxcXEZGRknT57Mzs4eGxvj+VnegAQAgLsWAhoAGGIR0DwveL2cy+UXhFnO3r4hoA0LGNAcx8lksoSEhL1790ZFRRUXF1ssFhziDQBw70JAAwBDQd8HmohGR13NzQPl5ZpxqzvwSlEUJZLYioqTFotxAQNaFMWBgYHo6OjHHnts165dCoUC9QwAcE9DQAMAQzwvREXVJyQogvidAkfdKmvuOW27wuaa7U282trk6uo4l8sSxAu4DW63Oykp6cEHHwwLC+vq6lrYiwEAgHlCQAMAQzwvHDlSe/Jkg8Phdbn8drv3dsbpsnvsdo/N7rHbPXav6NQaRnKzuzLTOiTVOovT6vDaJ/4lh9cxMXaP3eV3253mgoL9+ZdCBwY67C6z0zfxPVPG6XU6PA6n2+m+gcfj8Xg87mDweDwul8tsNqelpT399NOHDx/u6Ohwu91er/emlS6Xa+LvuD8NAHCXQ0ADAEMcJ4SFVaxenZuQIEtPb8nIaMvIaJ3rpLdlZLRnZLZkXK7IkGZkyNMzZOkZsoxMecaFpvPnGi5+FnF4xb59EXnRyTWpmfKMdFl6dlN2TnNOliIrXX7uojT1Uknk1q2/3LLxB5npa3Jr4i42ZafLMtJl6RmyjHRZeros/Xzj+byWvAvyC5dqL0mqJJJKSVVVVZWkSlonldZJJVWSqiCprKyMjY1dvnz50aNHL1++XFVVJZHc/OVlZWVVVVWtra12u32h/3sDAIBAENAAwJAgiPn5XceO1UZH18fHyxMSGuc8ioSEpoSE5oRERUL21YTaxIT6+ITahITahNSGtPTG5BO1h3/1yau/WvH2vqwTMZXxKdKzqQ2pJ8pP7Mjb8fm5z4+UR2XWJpzL3/3Vuu9/suL/CDv02FfJS3cX7k2sTUysS0yoTUisTcyUZZ6sPLn+/PptOduiC6NLS0rLSsqqyquqK6uTzycfO3ssLjMuvzC/vKy8ZN5KS0vz8/NTU1Pz8vKKi4unXVNYWFhSUtLY2Giz2Rb6vzcAAAgEAQ0ADIkijYy42tuHKivV5eWaigrtrYyuokJXUamtkLVWdFdW9JRXdFdUdlc26OovNJ3/Mm3DT5e+/NKGzy41lFV2SmrU1VU9VSfKT2y8sHH9+fXnGs/LeqtrFVlnol7buu0XmyKfWZuyIrL8eGV3ZVVPVWV3paRHIumRxFbHLk1eGpofml2f3d7erupQdSo7m1uaI7MidyTtOHv5bJ28TqVUtQdDV1eXwWDo6elRKpXTLmhubm5ra9NqtW73LC9HAgDAwkJAAwBbgiD6/bzHw93+eH0ev8fj9/g4n5/3e8icUZ3zyLKVu49ckMn73D6PIPIOr6NnuCepLilLkTViH3H73ZzA+Xyu9q6KlJLIsLztDVqpw+ea+B5O4DiBk+lk5+TnzinOaUY0fs7v9/lJpFH7aFl3WbI0+arqqtPt9Pv9fr/fFwx+v5/juFm/kOM4UZxlez4AAFhYCGgAuJeMuUaLVVe3xZ56e82J8jKt6Ln2957hnvOK8yWdJXqzfnKxh/NdVV5NlaZVqmvsXufk3zme6zB15DTnFHUUGS1Gka4Fq8X9/7d3f61pQ2EAxr/x7vcJynZRaCel1IFUOwdthXalXQctaaeYWbVFLTq7xhrqdJr4N2pMk5hdzLlMxkZgKzqe3+VJCJy7h0N4T0ssi6FUKF6Oq7r6iNsCACwSAhrAYhiPnXq/JtycPN18/uSZL/AyW6tMfnW4U+9207tLR0vFL8Xp+wNjkK1kV8/WwqltwzUE2h7b+Wo+EAuEE+Gr+yv3ulAU/FF/6EOo3qs/2r4AAAuHgAawGOSmfJw/fCGs+sJv3h7fqPWRZU4eRS4jPsF3WjhtueY9y015/Xw9KAZTctr9HVESg2IwnAiXlJJ7vat3187WVk5XJEUyTOPfbwgAsKgIaADzTn/QpYYUuYy8Tr6KfYrmCvf16iRwVU2JS/FAPLB3tVfv1S3bchzHsq3bxu1h7tAf9SfLye5wMtSiM+yk5XQ4Ed5J7xRqhYfvx9KmZZaU0n5mPygGhaIwMv/apYkAgP8SAQ1g3qmaKnwU/FH/8fW7mUf5an7j/cZB5kBSpOmiYRpHuaNNcfP85rw3+jFTuayWtxJb26ntbCXr/oima7Hb2PLJslgS+65fpQEA+CUCGsC8aw/amUpGbsraSHOvW7ZV7VST5WSj13BPrjBMI/c5d129njlLVjTlonxR69a+HVRPtQYtSZFy1Vxn+KebwQEAIKABzL+ROWr2m6ZtzqzbY3toDFuDlj3+6e5ry7baw/ZMbTuOo5u62ldnXnYcR3/QtZE2MAbTcRwAAPwGAQ0AAAB4QEADAAAAHhDQAAAAgAcENAAAAOABAQ0AAAB4QEADAAAAHhDQAAAAgAcENAAAAOABAQ0AAAB4QEADAAAAHnwFgf5ttp+CK0UAAAAASUVORK5CYIIA)
MD = 316,57 kN.m
MD = 392,05 kN.m
MD = 177,58 kN.m
MD = 610,37 kN.m
MD = 32,46 kN.m
Determine, através do Método dos Deslocamentos, o momento Mc3 do pórtico abaixo, considerando N = 2:
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 40.JPG)
153,3
146,25
180,1
121,1
207,4
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Considere também que esta estrutura tem inércia variável da seguinte forma: Trecho AB = 3 EI ; Trecho BC = 4 EI ; Trecho CD = 2EI ; Trecho BE = EI ;Trecho CF = EI.
![](data:image/png;base64,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)
Δ1 = -52,048/EI
Δ1 = -37,365/EI
Δ1 = -74,315/EI
Δ1 = -63,542/EI
Δ1 = -45,122/EI
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
![](data:image/png;base64,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)
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
1
2
-1
3
0
Pelo método dos deslocamentos calcule o momento fletor atuante na estrutura [2] criada referente ao nó "C".
![](http://sga.uniube.br/images/uploads/15400/Imagem TE semana 9.jpg)
-0,4 EI e -0,67 EI
-0,8 EI e -1,33 EI
0,8 EI e 1,33 EI
EI e -EI
0,4 EI e 0,67 EI
![](data:image/png;base64,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)
MD = 316,57 kN.m
MD = 392,05 kN.m
MD = 177,58 kN.m
MD = 610,37 kN.m
MD = 32,46 kN.m
Determine, através do Método dos Deslocamentos, o momento Mc3 do pórtico abaixo, considerando N = 2:
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 40.JPG)
153,3
146,25
180,1
121,1
207,4
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Considere também que esta estrutura tem inércia variável da seguinte forma: Trecho AB = 3 EI ; Trecho BC = 4 EI ; Trecho CD = 2EI ; Trecho BE = EI ;Trecho CF = EI.
![](data:image/png;base64,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)
Δ1 = -52,048/EI
Δ1 = -37,365/EI
Δ1 = -74,315/EI
Δ1 = -63,542/EI
Δ1 = -45,122/EI
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA5wAAAL0CAYAAABgYjhSAAAgAElEQVR4nO3dPXLbyrYGUM6CsUbyAiYv0RA8DiWq8jRcHoEG4FwTeI4UOjwD6RfIkii5CQJEA9i7sVYV614fSWhRIDe/jz/AoQAAAMACDlv/AgAAAPRJ4QQAAGARCicAAACLUDgBAABYhMIJAADAIhROAAAAFqFwAgAAsAiFEwAAgEUonAAAACxC4QQAAGARCicAAACLUDgBAABYhMIJAADAIhROABjp7u5u61+BkewrgBgUTgAYSYnJw74CiEHhBICRlJg87CuAGBROABhJicnDvgKIQeEEgJGUmDzsK4AYFE4AGEmJycO+AohB4QSAkZSYPOwrgBgUTgAYSYnJw74CiEHhBICRlJg87CuAGBROABhJicnDvgKIQeEEgJFilJjn8nB3V+7eLw/lefD7/5Sf9x/ff//zz8Sv5xRjXwGgcALASNuXmNeyeV4K//y8Hyidf8vkw9tXv/78ta/ntf2+AqAUhRMARtu8xDw/VMrlc3m4uy/VjvjnZ7n/+rXnh3J3/7P8GfP1S9v7+fDxCuvD89/f6+zfAWy+rwAopSicADBayBJTK41vauXxz89y/1Zar329utZZqXwrmm//HvpdVhZyXwHskMIJACPdffrs5DqXYV/fEvvlqz/vLxTK11J47euVDZb7u7vysdzrW3Av/3vbvx8A21M4AWCkWCVmuGyWslThPP/a17fzDhfONcXaVwD7pXACwEhhSszfVxqvHtxnkbfUKpwAjKdwAsBIIUrM80O5G/s5yVp5/OegQQNfr25P4QRgPIUTAEbavMRMPihP49OiKJwATKRwAsBIW5eY13Nu1g+Q83Hg2K+F8W+p/Pt9/5bJa1//9AsonABMonACwEhKTB72FUAMCicAjKTE5GFfAcSgcALASEpMHvYVQAwKJwCMpMTkYV8BxKBwAsBISkwe9hVADAonAIykxORhXwHEoHACwEhKTB72FUAMCicAjKTE5GFfAcSgcALASEpMHvYVQAwKJwCMpMTkYV8BxKBwAsBISkwe9hVADAonAIykxORhXwHEoHACwEhKTB72FUAMCicAjKTE5GFfAcSgcALASEpMHvYVQAwKJwCMpMTkYV8BxKBwAsBISkwe9hVADAonAIykxORhXwHEoHACwEhKTB72FUAMCicAjKTE5GFfAcSgcALASEpMHvYVQAwKJwCMpMTkYV8BxKBwAsBISkwe9hVADAonAIykxORhXwHEoHACwEhKTB72FUAMCicAjKTE5GFfAcSgcALASEpMHvYVQAwKJwCMpMTkYV8BxKBwAsBISkwe9hVADAonAIykxORhXwHEoHACwEhKTB72FUAMCicAjKTE5GFfAcSgcALASEpMHvYVQAwKJwCMpMTkYV8BxKBwAsBISkwe9hVADAonAIykxORhXwHEoHACwEhKTB72FUAMCicAjKTE5GFfAcSgcALASEpMHvYVQAwKJ7snlABjmRd52FcAMSic7J5QAoxlXuRhXwHEoHCye0IJMJZ5kYd9BRCDwsnuZQold3d37xfILuPtOdPvunf2FUAMCie7FzmUnAfyyL8nzJXlth75d+Mz+wogBoWT3YsUSrKEblha1PtCpN+FYfYVQAwKJ7u3ZSiJGqohmij3FffTPOwrgBgUTnZvzVASJTRDdlvdl9xv87CvAGJQONm9JUOJggnrWOu+5n6ch30FEIPCye61DCUKJsSw1H3R/ToP+wogBoWT3ZsTShTMIP78LPdf9sXd/c/y5/IPlJ/3H997//Prd177Otm0uq+6n+dhXwHEoHCye1NCiYIZ1PNDuXt4HvnNf8vk+/c/l4dPpfLa1+nBrfdl9/s87CuAGBROdm8olCiYOTw/3JXxffNnub+7L5/64/PDxyui175+aXs/Hz5uKw/Prz9z/m9CG3tfNwfysK8AYlA42b3zUKJgZvSn/Ly/L/f3I99OWyuPf36W+7uH8jzm6/8s//ftvG+l8q1ovv27VmAJ79IsMBfysK8AYlA42b2vwdIl/uWzylte//ws9xdK55+f9xcK5WspvPb1ygbL/d35K6yvv8/lf7v9Zb+Qg30FEIPCye6dhxLBsheXS94yhfP8a8/l4Z9/T3jLLyFcmgXmQh72FUAMCie7NxRKFNCsXg/8Uy15i7ylVuHMbux93RzIw74CiEHhZPemhBIFNKDnh3L3Txn8WvrO1MrjPwcNGvh6dXsKZza33pfd7/OwrwBiUDjZvTmhRAGNoPJq5lBBbH1aFIUzhVb3VffzPOwrgBgUTnavZShRQLfyWure//Zfyubzw9fC+LdU/v3+f8vkta+ff6vCGdFS90X36zzsK4AYFE52b8lQooDCOta6r7kf52FfAcSgcLJ7a4YSBRTa2Oq+5H6bh30FEIPCye5tGUoUUBgnyn3F/TQP+wogBoWT3YsUSqKEatha1PtCpN+FYfYVQAwKJ7sXOZREDd3QWpbbeuTfjc/sK4AYFE52L1MoyRDIYayMt+dMv+ve2VcAMSic7J5QAoxlXuRhXwHEoHCye0IJMJZ5kYd9BRCDwsnuCSXAWOZFHvYVQAwKJ7snlABjmRd52FcAMSic7J5QAoxlXuRhXwHEoHCye0IJMJZ5kYd9BRCDwsnuCSXAWOZFHvYVQAwKJ7snlABjmRd52FcAMSic7J5QAoxlXuRhXwHEoHCye0IJMJZ5kYd9BRCDwsnuCSXAWOZFHvYVQAwKJ7snlABjmRd52FcAMSic7J5QAoxlXuRhXwHEoHCye0IJMJZ5kYd9BRCDwsnuCSXAWOZFHvYVQAwKJ7snlABjmRd52FcAMSic7J5QAoxlXuRhXwHEoHCye0IJMJZ5kYd9BRCDwsnuCSXAWOZFHvYVQAwKJ7snlABjmRd52FcAMSic7J5QAozxP//7f+8X4jPbAWJQONk9oQS45rxsKp05mO0AMSic7J5QAlyjcOZjtgPEoHCye0IJcI3CmY/ZDhCDwsnuCSXANQpnPmY7QAybF04PCGzNbRC4RuHMx2wH9i7KHFQ42T23QeAahTMfsx3YuyhzUOFk99wGgWsUznzMdmDvosxBhXOCu7u79wt1Gf9GmX5XYBsKZz6ZZnvGx07Ym4z30yi/q8I54PyGFfn3jCrL3y/y7wbEoHDmE3m2Z3l8BOqy3Iej/G4K55ksN56sov59I/0uQEwKZz6RZnvUxz+gjaj38Si/y64LZ9Qbx15E+fvb98A1Cmc+Wz+uRHh8A7YRZQZEmT+7KpxRdj51W+0ftwXgGoUzH/kCiGLvGbfrwukBILe19p/bBnCNwpmPfAFEtbeM21Xh9ADQt6X2r9sKcI3CmY98AWTRe8ZNXTjzPQD8KT/vz37nh+dJ33//88/Er/et1f7PcdsBtqRw5rOvfEELzw/n+/2+DMcqGY3l9JZxUxXO7A8Azw/nJfN1EF0eQH8H1fv3P5eHTwPr2tf359bbR8bbErAuhTOfPeUL5nt++JKhnh/K3d1Dea5+t4zGurJn3NCFs6sHgD8/y/2XZ8v+/Lwvd/c/S3X8VL6/PD98fP+1r1/a3s+Hz6+wPn/5d0fG3n7S37aAxSmc+ewmXzBfLVNN/X4ZjRVly7ihCue+HgCuvMJZG0x/fpb7t2fbrn39n+V+lvvzgfU2xN7+PXXYJnTp9tX/bQ2YS+HMZ7/5gsmGyuDY75fR2FD0jBuicPZ6qTt7T//AcKu++nk2cK59vbLBcn93Vz6eIHt9e8flf+9nP0W5MwJxKZz5bP244hL7cu4tUz3/vD/7nktvp5XRXHJdIghROM//f7Q/0KIGPh+wzDA7/9pzefjn35eHWQ8u3b52cVuDjp0OpRxGXJ5mrKFw5rPrfMEkf/4WzbGf4ZTRiCZ6xg1VOGtf6/sB4vXVzuoAWeTtGvsaZmNvP33etoBSSnk6vZbN4+O87Sic+ew7XzBF/ZgaMhpxZcu4oQtn7XvTPkBUnykbGCC1wfTPB9IHvl7dXt/D7NbbR7rbEjDK2yufjy/zt6Vw5rObfMF81fw0UDhlNFaWPeOmKpy1n83zAFEZXIMfUm98yO0Oh1mr/R//tgNM8vT3bbSndptUOPPZT75gvgsZba3TonSY0Zint4ybunDWthX7AeLzSYC/ls1/zgHV8qTCHQyzpfZvzNsKcIu3t9Ce5nxgs0LhzGdf+YL5vmS0L2VTRmNJvWfcrgpnbdseIPJaa/+5bUAHXko5Njg40CUKZz7yBRDV3jJu14WztpYHiLi22j9uC5Dby2P7t9B+pXDmI18AUew94+6qcNbW9gCxnSh/f/secnNaFGq2flyJ8PgGbCPKDIgyf3ZdOL+KcuPoVdS/b6TfBYhJ4cwn0myP+vgHtBH1Ph7ld1E4B0S98WSR5e8X+XcDxnscONfm49ErnHsTebZneXwE6rLch6P8bgrnBBluWFvL+DfK9LsCl50OpRy/lM73z3d6S+3uZJrtGR87YW8y3k+j/K4KJ7vnNgj9OC+db5/tbHGKFIUzH7Md2Lsoc1DhZPfcBqEv7wcRanjUWoUzH7Md2Lsoc1DhZPfcBqE/tbfXzqFw5mO2A3sXZQ4qnOye2yDk5rQo1JjtwN5FmYMKJ7vnNghco3DmY7YDexdlDiqc7J7bIHCNwpmP2Q7sXZQ5qHCye26DwDUKZz5mO7B3UeagwsnuuQ0C1yic+ZjtwN5FmYMKJ7vnNghco3DmY7YDexdlDiqc7J7bIHCNwpmP2Q7sXZQ5qHCye26DkN/T6fLpUFqcj1PhzMdsB/YuyhxUONk9t0HI7elUyuFYysuFrz8eSzmc5q2hcOZjtgN7F2UOKpzsntsg5HY6lPJ4qW2WUspLKcdDKU8z1lA48zHbgb2LMgcVTnbPbRByUzipMduBvYsyBxVOds9tEHIb9Zbaga+PoXDmY7YDexdlDiqc7J7bIOT38uigQXxmtgN7F2UOKpzsntsgcI3CmY/ZDuxdlDmocLJ7boPANQpnPmY7sHdR5qDCye65DULnnl7fWuugQftitgN7F2UOKpzsntsgcI3CmY/ZDuxdlDmocLJ7boPANQpnPmY7sHdR5qDCye65DQLXKJz5mO3A3kWZgwonu+c2CPk9nZwWhc/MdmDvosxBhZPdcxuE3J5OpRyOpbxc+PrjsZTDad4ayxTO3+V0+FYOb5fT7y9f/688Hj++fnz878r2rn3/lO29/m6n6pGWXr/2z8+//CrHw4/PB2d6+VWOx18X982SzPa9cr+CN1HmoMLJ7rkNQm6nQymPQ8nrpZRjuKPU/g2p72H49d8fYfPr1y+E0Yvb+/r9U7d3PRgfDt8//90rwfjl8fuIQL8Ms32P3K/gXJQ5qHCye26DkFvOwvlv8Hx5/P4RXF9+lePX4Pn0oxwuvapx7funbu/r7/fyqxzfXy36XU6H7+Xx8cfnV48qwfjp9Hcbb+s//vj8ytPTj4FXouYx2/fI/Wrp+xW5RJmDCie75zYIuY16S+3A18dY/RXOWmitvbXuzbXvn7q982D8NxR/hPi/wfjlv/J4PAvb/2zvdzm9/ftTsC4fgXioCMxktu+R+9XS9ytyiTIHFU52z20Q8nt5zHnQoKfTx2e//nlVphpk6+Hx2vdP3d5HMK69RfAtGP/dxqdwexaMn358Cb5fw/XQv+cz2/fL/erSv9mbKHNQ4WT33AaBa5Z6S+154Hw6fbwyESUYH2qfKTsPxuXr2/s+gvH7f6+u9XkbCidtuF8tfb8ilyhzUOFk99wGgWuaF86Lb8X7GxYjvfXvn5/9Emrfjpj5aXtnb/v7et1q21A4acH9SuHkkyhzUOFk99wGoQNPl99S2yJrrV44a6H16sFNBr5/6vY+BdWvR/r8Gmr/vuryeLbG19M2KJyswf1K4eSTKHNQ4WT33AYht5fHL+fZfPp8kKDTocwOXKu9pfY9TAY7fcPTj7O3AP4bjD/eKvgajP85bYPCySrcrxROzkWZgwonu+c2CLnVTovydDormV8K6C2WOWjQlxPU//OqyPAJ5Z9OX//bsieo/wjutWD89/Nshx/lqXw5ymYpCicrcr9SOHkTZQ4qnOye2yDkdqlwvh+dNuR5OFma2Q7sXZQ5qHCye26DkNvT6ctbasvnEnrtPJ1jKJz5mO3A3kWZgwrnjc7P8fTvoa2nvL1izPfPe7vG16/98/O1D71//WB6x7LeBnvlvsUtnk6fDxTUsmyWonBmZLYDexdlDiqcN/jn/f1PP94/0B3uA+mVr/0T4iuh+J8Ppncs422wV+5bRKVw5mO2A3sXZQ4qnFMNntD3wtevHnJ74Punbu9rKH75VY6Ht1D998Pkjz/OQnaphuLPJxz++zNvrzqdfv8tAmf/TizdbbBX7lvd3bd6onDmY7YDexdlDiqcUw0G0gtf3+qkwn8D8ccrMm9HL/typLN/tnd2YuFPobp8hOG3f18rCQmkuw32yn2ru/tWTxTOfMx2YO+izEGFc6KXx+/lcPxVnh6/n33O7CNQvn394kmHL2zv0vdP3d5HKK69PfDscNkvv8rxU7A9C8VPP76E3q/Beujf+WS7DfbKfau/+1ZPFM58zHZg76LMQYVzope/YfjS58yihOL6AVc+n5/p81v7PkLx+3+vrtXfOZ6y3QZ75b7V332rJwpnPmY7sHdR5qDCOVE1pP49+MjpqcR6298/P/sl0L4dLfPT9s7e8ve+Vt+hONttsFfuW/3dt3qicOZjtgN7F2UOKpxTVT9ndhaKa4H16oFNBr5/6vY+hdTX3+vjFaOvgfbvKy6PZ2t8PWXDDkJxuttgr9y3urtv9aRWOD/e+u0S8XJ3d7f57+Di4uKy5SVKxlU4JzsLwG8in7rh6Uf5ePvfv6H4422CH29b/LTtHYTifLfBXrlv9Xbf6skWr3AeDt8WX2Pttda8TmvO9h73Va9r9XidrJVnnbXXipJxFc6bfD5Z/OGft+ANn0z+n3MNLnxy+qfTt7+v2tRC8dtn536Up/LlCJul7CIU57wN9sp9q6f7Vk8UzlzrlKJwWmvbdayVa60er1MpcTKuwsnuuQ0C1yicudYpReG01rbrWCvXWj1ep1LiZFyFk91zGwSuUThzrVOKwmmtbdexVq61erxOpcTJuAonu+c2CFyjcOZapxSF01rbrmOtXGv1eJ1KiZNxFU52z20QuEbhzLVOKQqntbZdx1q51urxOpUSJ+MqnOye2yBwjcKZa51SFE5rbbuOtXKt1eN1KiVOxlU42T23QeAahTPXOqUonNbadh1r5Vqrx+tUSpyMq3Cye26DwDUKZ651SlE4rbXtOtbKtVaP16mUOBlX4WT33AaBaxTOXOuUonBaa9t1rJVrrR6vUylxMq7Cye65DQLXKJy51ilF4bTWtutYK9daPV6nUuJkXIWT3XMbBK5ROHOtU4rCaa1t17FWrrV6vE6lxMm4IQrn4fDNxWWzi9ugi4vLtYvCmWudUhROa227jrVyrdXjdSpF4XznASHHOj2v1eNtsNd9Za08a/V2nRTOXOuU0udst1aedayVa60er1MpCuc7Dwg51ul5rR5vg73uK2vlWau366Rw5lqnlD5nu7XyrGOtXGv1eJ1KUTjfeUDIsU7Pa/V4G+x1X1krz1q9XSeFM9c6pfQ5262VZx1r5Vqrx+tUisL5zgNCjnV6XqvH22Cv+8paedbq7TopnLnWKaXP2W6tPOtYK9daPV6nUhTOdx4QcqzT81o93gZ73VfWyrNWb9dJ4cy1Til9znZr5VnHWrnW6vE6laJwvvOAkGOdntfq8TbY676yVp61ertOCmeudUrpc7ZbK8861sq1Vo/XqRSF850HhBzr9LxWj7fBXveVtfKs1dt1UjhzrVNKn7PdWnnWsVautXq8TqUonO88IORYp+e1erwN9rqvrJVnrd6uk8KZa51S+pzt1sqzjrVyrdXjdSpF4XznASHHOj2v1eNtsNd9Za08a2W6TofD9UutcI75uS2vV8S1zHZrbb1Wj9fJWnnWWXsthfMvDwg51ul5rR5vg73uK2vlWSvTdVqqcG59vSKuZbZba+u1erxO1sqzztprKZx/eUDIsU7Pa/V4G+x1X1krz1rZrtPU0rn0q5utrle0tcx2a229Vo/XyVp51ll7LYXzLw8IOdbpea0eb4O97itr5Vkr23UaUyAPh9d5sUbZfP2dcv0NI61TSp+z3Vp51rFWrrV6vE6lKJzvPCDkWKfntXq8Dfa6r6yVZ62M10nh7GedUvqc7dbKs461cq3V43UqReF85wEhxzo9r9XjbbDXfWWtPGtlvE6tCmcrGf+GUdYppc/Zbq0861gr11o9XqdSFM53HhByrNPzWj3eBnvdV9bKs1bW66Rw9rFOKX3OdmvlWcdaudbq8TqVonC+84CQY52e1+rxNtjrvrJWnrWyXqe5hbOlrH/DCOuU0udst1aedayVa60er1MpCuc7Dwg51ul5rR5vg73uK2vlWSvzdVI4869TSp+z3Vp51rFWrrV6vE6lKJzvPCDkWKfntXq8Dfa6r6yVZ63M1+nWwtla5r/h1uuU0udst1aedayVa60er1MpCuc7Dwg51ul5rR5vg73uK2vlWSv7dVI4c69TSp+z3Vp51rFWrrV6vE6lKJzvPCDkWKfntXq8Dfa6r6yVZ63s12lq4VxC9r/hluuU0udst1aedayVa60er1MpCuc7Dwg51ul5rR5vg73uK2vlWauH66Rw5l2nlD5nu7XyrGOtXGv1eJ1KUTjfeUDIsU7Pa/V4G+x1X1krz1o9XKexhXMpPfwNt1qnlD5nu7XyrGOtXGv1eJ1KUTjfeUDIsU7Pa/V4G+x1X1krz1q9XCeFM+c6pfQ5262VZx1r5Vqrx+tUisL5zgNCjnV6XqvH22Cv+8paedbq5TpdK5xL6uVvuMU6pfQ5262VZx1r5Vqrx+tUisL5zgNCjnV6XqvH22Cv+8paedbq6TopnPnWKaXP2W6tPOtYK9daPV6nUhTOdx4QcqzT81o93gZ73VfWyrNWT9fpUuFcWk9/w7XXKaXP2W6tPOtYK9daPV6nUhTOdx4QcqzT81o93gZ73VfWyrNWb9dJ4cy1Til9znZr5VnHWrnW6vE6laJwvvOAkGOdntfq8TbY676yVp61ertOXwvnGnr7G665Til9znZr5VnHWrnW6vE6lbKzwjn0h235h7i2A1vu4Chrtb7R9rjWtW31eBvMuq/WXCvKvup1ray3i6HttS6cUfbVmmutebtoHbTMpj7Wyjqbovz9el0r6+3i2vZ2VThLufzHuPSHuHVn3LKDM6+1xA26x7VuuTO6XfS/VoR91etamW8Xl37urXAuvc61r2Vea83bxVDQin69IuyrXtfKPJsi/P16XSvz7WLo51o/Zt1q1bfU1q5c7Q8x948wZQdnX6v1HbHntabcGd0u9rPW1vuq17Wy3y4u/XyP82LNtbbeV0utZTblWSv7bNr679frWtlvF5d+fonHrFus/hnOr1fy6x+i1R9hzA7uYa0l7og9rzXmzuh2sb+19jIv1lyrh9tFbTs9zos119pyXy25ltmUZ60eZtNe9tWaa/Vwu6htZ6nHrKlCFc7Wf4ShHZx1rWs3WmtNX6uH2+Be9tVWa2W9Xay5VpR9tfRaPcyLNdeKsq+WXstsirtWlH215lpZ99Waa0XZV0uvteRj1hSbHKX2/Aov/Ye4dEPNvFaP12nLtXq5De5hX1kr9lo9Xqev2+xlXqy5ln1lra3X6vE6WSvPOluutevCWcrHlX77Qyz5R3jb9tf/zbxWj9dpq7V6ug32vq+sFX+tHq/T+bZ7mhdrrmVfWWvrtXq8TtbKs85Wa60xB8fY9Dych8O3v4eYX/6PcDh8e7/0slaP12mLtXq7Dfa8r6yVY60er9PbWr3NizXXsq+stfVaPV4na+VZZ4u11pqDV3+XrX8BJ2bOsU7Pa/V4G+x1X1krz1o9XqdS+pwXa65lX1lr67V6vE7WyrPO2mvt7jycl0T5Q7BfboPAWOZFHvYVsHdR5uDmhRMAAIA+KZwAAAAsQuEEAABgEQonAAAAi1A4AQAAWITCCQAAwCIUTgAAABahcMLC1jzBLwDrMNsBxlE4YUECCUB/zHaA8RROWIhAAtAfsx1gGoUTGjscvgkkAB0y2wGmUzihIWEEoE/mO8BtNi+cp9PmvwI71+o2KIxA/zxm5dFyX5nvQEZRHrM2/S1Op8P7BbbQ6jYojED/PGbl0XJfme9ARpEes0b9BofTofnlVLmstY5L/XJ3d5f6svXfz8XFxSXLZet5bba7uLi4rHvZUpPVDyOuRO17an+EW7d1y/fQxt3d3da/ws1a3RFbPQPumXSIK8oD95ayzPuW+2rpuWzuA0uI9Jg1+zeYW/6UzfyyBJBLWt0RW4QGwQNii/DAvaVM877lvlpyNpv7wBLe3ukZoRfN+g1alj9lM6fztz1lFSmUCB5AVNnmfesnB5aaz+Y+0NrXPrR1P7p5dWWTUvIFkJpIoUTwAKLKNu8jzfYttgvsVxeFU9nkTbYAUrPEW+RuDRCCBxBVtnkfabavvU1gvy51oi270qaFc+1SSnvZAkjNUp/JuiVECB5AVNnmfaTZvub2gP261oe26kuTV1U2efMWOr7+71peHo/lcDgMXI7leHosTy/D21nyICBTg4TgAUS09by/RaTZvta2gHiG8+q4rDpWF4VT2eTc1gHkeuF8u5zK08B2Ih11UvAAItp63t8i0mwfYu5D38bl1WM5DYXVEVr2q9ZGr6hs8tXWAWR84TyU4+Plp44ihRLBA4ho+Xn/Ul6eTuV4/DK7j6ebn/mPNNuHmPvQt/F59VgG4upVXRRO+CpO4bzwCubLYzm+3YkHnjaKFEoEDyCiZef9Uzkdb3/S8JJIs32IuQ99G8qrLy9f5t+NL3NOLZFrl85tp/HTafTbHonlPGxc+v9Lu1Y4X54+CqdXOAFus+y8fymPV8rm22VqDos024eY+8SMKu4AACAASURBVNC3qy+QlKdyept1x8cy9em1W8vjmqVz02n8dJr3YMJ2YhXOK5crd95IoUTwAKJZct5/muPHU3k8f//sy9PnMjoxiEWa7UPMfejb9cI57nsuUTgHnbX5mS8js748hfNYTlc+ABQplAgeQDTLzfvzVzcvhayX8ng8luPpqbxMfNo/0mwfYu5D36YVzmmf45xbGtcqndtN4/e30x7L6XR7q2cbeQqnt9QCzLHcvD974nmBJ5wjzfYh5j70TeHcsHC+v532+FheXsZ91o4YvoaMa/9eyvWDBp2/in75Th4plAgeQCSLzvuFH/sjzfYh5j70banC2aosrlE6N5rGH0Xg9UHm7G01N3xYlnWlKZxl3B04UigRPIBIFM7lmfvQt+t5dczHC/6lcF5z9nbat8eYW19KZn1pCuenA04onABTLTvvvaW2FHMfejeYV78eHG3kLGxdEpcunZtM409vp337j95Wm0a8wjnvSLWRQongAUSy7LyfctCgx3Ll+G//iDTbh5j70LfxeXXci25LlcMlS+f60/isWN56Ggu2UwsXY/9ba63uwJFCieABRLHGvHdaFHMfejf+rArjtqdwjjC2JDhDSkzZCufxeLr6rPjSoWRKmBA8gCjWmfcvn0tlw1wQabavsR0gpuG8Ou0dHIu/9XWpMrvIVi8a/8DinJwxRSqcrSwZSqYGCcEDiGK9ef9UTleywfGGTBBptq+1LaBvCucY52+nrT543HaUJtajcI53S4gQPIAo1p33L+Xl6VSOX4rn67tUbvuQTaTZvub2gD6tds7MBdZZtXCev6R86cnKMd/DNi6Fiqn/PZrWoeRw+HZzgBA8gAh6mPdLFM4lZrS5D1yzVtlcar1Vf/tRr16evwrq4EGh9BBAalqGkrnBQfAAIuhh3i/xZOISzH3gGoWT3eghgNS0CiUtQoPgAUTQw7yP9GTiVtsG8lu7bC6xrsLJaD0EkJoWocTRCoGe9DDvIz2ZuOX2gdwUTnZjKEzc+rUo5oaSt89stroAbKmXed/qycQ1LsB+HU6HlJdJ13Ghvx2d6SWA1HiFE+BDL/PeK5wAMSicjNJLAKmJFEoED2Brvcx7n+EEiEHhZJReAkhNpFAieABb62XeO0otQAwKJ1ddCxFzv761SKFE8AC21NO8jzTbt9guQBQKJ1f1FEBqIp0cXPAAttTTvI8029feJkAkCidX9RRAapYIJaXcFiIED2BLPc37SLN9ze0BRKNwclVPAaRmqVBSyvQgIXgAW+pp3kea7WttCyAihZNBY8JDq+/ZypKhZCrBA9hKb/M+0mwfYu4DvcsxjdlMbwGkJlIoETyArfQ27yPN9iHmPtC7HNOYzfQWQGoihRLBA9hKb/M+0mwfYu7Dvh1Oh5SXSddxob8dnegtgNRECiWCB7CV3uZ9pNk+xNwHepdjGrOJsaGh9fetLVIoETyALfQ47yPN9iHmPtC7HNOYTfQYQGoihRLBA9hCj/M+0mwfYu4DvcsxjdlEjwGkJlIoETyALfQ47yPN9iHmPtC7HNOYTfQYQGoihRLBA9hCj/M+0mwfYu4DvcsxjVndlLCw1PeuJVIoETyAtfU67yPN9iHmPtC7HNOY1fUaQGoihRLBA1hbr/M+0mwfYu4DvcsxjVldrwGkJlIoETyAtfU67yPN9iHmPtC7HNOY0LYOFXNFCiWCBxBZpnkfabYPMfeB3uWYxoSWKYDULB1KpoQJwQOILNO8jzTb19gOQFQKJ7NlCiA1S4aSqUHipuDx9KMcDt8uXH6Up+lbBKjKNO8jzfa1tgUQkcLJbJkCSM1SoeSWEDH9Z36X0+FbOT7+N3ktgKkyzftIs33N7QFEo3AyW6YAUtM6lLy9unjrz07zu5wO38vjy03LAUySad4vUTiXKIcKJ9A7hZPZMgWQmpahZG5wuOXnXx6/l8Pp96x1AcbINO+XeDJxCQon0DuFk9kyBZCaVqGkRWjwGU4gskzzPtKTiVttGyAChZPZMgWQmhahZLujFb5+hvOkVQIryDTvIz2ZuOX2AbamcDJbpgBSMzeUXH518bbLND7DCawn07xv9WTiGheAnimczJYpgNTkfoWzvL6l9vir6JzA0jLNe69wAsSgcDJbpgBSEymU3PqWWp/hBNaQad77DCdADAons2UKIDWtQ8mc8CB4AJFlmveOUgsQg8LJbJkCSE2kc7WN/7m/r2w6HQqwokzzPtJsX3ubAJEonMyWKYDULBFKSrktREz+mU+nRPH2WWBZmeZ9pNm+5vYAolE4mS1TAKlZKpSUMj1IzAsenz/P6VQpQGuZ5n2k2b7WtgAiUjiZLVMAqVkylEzVMng8nbzqCbSVad5Hmu1DFE6gdzmmMaFlCiA1kUKJ4AFElmneR5rtQ8x9oHc5pjGhZQogNZFCyeSDBl29eIUTaCfTvI8024conEDvckxjQssUQGoihZJWweP17bTfyvHxvybbAygl17yPNNuHKJxA73JMY0LLFEBqIoWS+cHj7ZXP7+XxpcmvBPAu07yPNNuHKJxA73JMY0LLFEBqIoWSWcHj7RQpzs0JLCTTvI8024conEDvckxjQssUQGoihZJbg8fbW2idCgVYUqZ5H2m2D1E4gd7lmMaElimA1EQKJZODx8uvcnRwIGAlmeZ9pNk+ROEEepdjGhNapgBSEymUTAkeL4/fvYUWWFWmeR9ptg9ROIHe5ZjGhJYpgNRECiVOiwJElmneR5rtQxROoHc5pjGhZQogNZFCieABRJZp3kea7UPMfaB3OaYxoWUKIDWRQsn04PG7PF481+Z/5fHoFU6gnUzzPtJsH6JwAr3LMY0JLVMAqVk6lEwJE7cUztPhWzl+KZ3vn+/0llqgoUzzPtJsX2M7AFEpnMyWKYDULBlKpgaJ24LHeen8+GynU6QArWWa95Fm+1rbAohI4WS2TAGkZqlQckuIuD14nB1EyFFrgYVkmveRZnvT7T39cKA4IBWFk9kyBZCaJULJrYFkXpCpv70WoJVM8z7SbG+3TXMeyEfhZLZMAaSmdSiZE0icFgWILNO8jzTb2233dzkdvpfHl0V+FYBFKJzMlimA1LQMJXMDic/yAJFlmvd9Fs6/B4Xz0QkgEYWT2TIFkJpWoaRFGFE4gcgyzftITyY23bbPcALJKJzMlimA1LQIJQ6PD+xBpnkf6cnEdtt//TiFo5ADmSiczJYpgNTMDSXXP0c57QIQVaZ53+rJxDUu4/kMJ5CPwslsmQJIjVc4AcbJNO/7fIWzvL6l9vir6JxAFgons2UKIDWRQonCCUSWad73+RnOa0co9xlOIB6Fk9kyBZCa1qFkndOivHo6XQ4eztMGtJZp3vd6lFqAbBROZssUQGoinRx8ys89nb4NvK3qv/J4/ObQ+UBTmeZ9pNk+f5t/X9k004GEFE5myxRAapYIJaXcFkzG/8yIA0e8/CpHb68CGso07yPN9mbb+3RKFPMdyEHhZLZMAaRmqVBSyvRgonACkWWa95Fm+zLb+vx5TqdKAaJSOJktUwCpWTKUTNX8LbWOZAg0lGneR5rtQ1qV19fP9HuSEYgnxzQmtEwBpCZSKJkaPF4evztoELCaTPM+0mwf4qBBQO9yTGNCyxRAaiKFEsEDiCzTvI8024dMOmjQ1YtXOIF4ckxjQssUQGoihRKFE4gs07yPNNuHtJj7b6fI8s4WIKIc05jQMgWQmkihxHk4gcgyzftIs33IvML59srnlYPIAWwoxzQmtEwBpCZSKHEeTiCyTPM+0mwfcnPhfDtFijkPBJdjGhNapgBSEymUOC0KEFmmeR9ptg+5pXC+vbvFqVCADHJMY0LLFEBqIoUShROILNO8jzTbh0wqnC+/ytHBgYBkckxjQssUQGoihRLn4QQiyzTvI832IWPn/vtpsLyFFkgmxzQmtEwBpCZSKHEeTiCyTPM+0mwf4rQoQO9yTGNCyxRAaiKFEqdFASLLNO8jzfYh5j7QuxzTmNAyBZCaSKFE8AAiyzTvI832IdPm/u/yePHdK/+Vx6NXOIF4ckxjQssUQGqWDiVTwkTTwvn0w9urgKYyzftIs73ddl7fWvv1IxMfH68w84F4FE5myxRAapYMJVMDiVc4gcgyzftIs73tts5L58dnO50iBYhK4WS2TAGkZqlQcksgUTiByDLN+0izvf32zg4i5Ki1QHAKJ7NlCiA1S4SSWwOJwglElmneR5rty2yz/vZagGgUTmbLFEBqWoeSOYFk6s8+nS4fHl8IAVrLNO8jzfb523VaFCAvhZPZMgWQmpahZG4gmfLzT6dv5XD8VV6qX/2vPB691QpoK9O876twAuSlcDJbpgBS0yqUtAgN47fxu5wO38tjvW2+evlVjp7tBhrKNO8jPZm41bYBIlA4mS1TAKlpEUrWPzy+wgmsL9O8j/Rk4pbbB9iawslsmQJIzdxQcv0zNdMuY416S+3FrwNMl2net3oycY0LQM8UTmbLFEBqcr7C+erjZN8OGgQsL9O89wonQAwKJ7NlCiA1kUKJ4AFElmne+wwnQAwKJ7NlCiA1rUPJmqdFAVhTpnnf41FqnQoLyEjhZLZMAaQm0snBp/3c2XnZjr/Ky8uvcjwPIE6JAjSWad5Hmu0ttulUWEBWCiezZQogNUuEklJuCyaTn+n+Gy7eP8t5FjZeHr8LH0BTmeZ9pNk+f3uOTA7kpXAyW6YAUrNUKCllejC5+bQoL7/K8WsYET6AxjLN+0izff62FE4gL4WT2TIFkJolQ8lUt5+HsxJGhA+gsUzzPtJsH9L0LbVOhQUElGMaE1qmAFITKZS0Ow+nt9QC7WWa95Fm+5Apc9+psICMckxjQssUQGoihZKpb9M6/xznBwePAJaRad5Hmu1DHJ0c6F2OaUxomQJITaRQIngAkWWa95Fm+xBzH+hdjmlMaJkCSE2kUCJ4AJFlmveRZvsQ5+EEepdjGhNapgBSEymUKJxAZJnmfaTZPsR5OIHe5ZjGhJYpgNRECiUKJxBZpnkfabYPcVoUoHc5pjGhZQogNZFCicIJRJZp3kea7UMUTqB3OaYxoWUKIDWRQonCCUSWad5Hmu1DnIcT6F2OaUxomQJITaRQonACkWWa95Fm+xDn4QR6l2MaE1qmAFITKZQonEBkmeZ9pNk+xNwHepdjGhNapgBSEymUCB5AZJnmfaTZPsTcB3qXYxoTWqYAUrN0KJkSJgQPILJM8z7SbF9jO+XpRzk4aBAQkMLJbJkCSM2SoWRqkFA4gcgyzftIs32tbQFEpHAyW6YAUrNUKLklRAgeQGSZ5n2k2b7m9gCiUTiZLVMAqWkdSt6OGHjrzwJElWneL1E4l5jR5j7QO4WT2TIFkJqWoWRucBA8gMgyzfslnkxcwpTtPp3qp0RxWhQgMoWT2TIFkJpWoaRFGFE4gcgyzftITya22PbT6Vs5HH+Vl+pX/yuPx2/lcPrd8lcDaELhZLZMAaSmRSgJd7RCgAVkmveRnkycv/3f5XT4Xh7rbfPVy69ydJRaICCFk9kyBZCauaHk0tubbr0ARJVp3rd6MnGNy3UKJ5CXwslsmQJIjVc4AcbJNO/7eoVz5FtqL34dYDsKJ7NlCiA1kUKJwglElmne9/YZzlJKeXn87qBBQDoKJ7NlCiA1kUKJwglElmne93iUWoCMFE5myxRAaiKFEsEDiCzTvI8027fYLkAUCiezZQogNZFODi54AJFlmveRZvuS23w6eTstEJvCyWyZAkjNEqGklNtChMIJRJZp3kea7fO397ucRh3x1lFqgXgUTmbLFEBqlgolpUwPJgonEFmmeR9ptjfZ1tOP6lFovcIJRKdwMlumAFKzZCiZSuEEIss07yPN9iGT5v7Lr3L8cj5OhROILsc0JrRMAaQmUihROIHIMs37SLN9yPS5/3rOzdPf984qnEB0OaYxoWUKIDWRQonCCUSWad5Hmu1Dbp37T6dv5XD6rXAC4eWYxoSWKYDURAolCicQWaZ5H2m2D5k1959+lMNB4QRiyzGNCS1TAKmJFEoUTiCyTPM+0mwfYu4DvcsxjQktUwCpiRRKBA8gskzzPtJsH2LuA73LMY0JLVMAqYkUSgQPILJM8z7SbB9i7gO9yzGNCS1TAKmJFEoEDyCyTPM+0mwfYu4DvcsxjQktUwCpiRRKBA8gskzzPtJsH2LuA73LMY0JLVMAqYkUSgQPILJM8z7SbB9i7gO9yzGNCS1TAKmJFEoEDyCyTPM+0mwfYu4DvcsxjQktUwCpiRRKBA8gskzzPtJsH2LuA73LMY0JLVMAqVk6lEwJE4IHEFmmeR9ptq+xHYCoFE5myxRAapYMJVODhOABRJZp3kea7WttCyAihZPZMgWQmqVCyS0hQvAAIss07yPN9jW3BxCNwslsmQJITetQcjh8uzlACB5AZJnm/RKFc4kZbe4DvVM4mS1TAKlpGUrmBgfBA4gs07xf4snEJZj7QO8UTmbLFEBqWoWSFqFB8AAiyzTvIz2ZuNW2ASJQOJktUwD56nQ6vF/mcLRCYA8yzftITyZuuX2ArSmczJYpgJw7L5tzSufbZzZbXQCiyjTvWxTO1vPd3Af2SOFktkwB5CuvcAKMl2nee4UTIAaFk9kyBZCaSKFE8AAiyzTvfYYTIAaFk9kyBZCaSKFE8AAiyzTvHaUWIAaFk9kyBZCaSKFE8AAiyzTvI832LbYLEIXCyWyZAkhNpJODCx5AZJnmfaTZvvY2ASJROJktUwCpWSKUlHJbiBA8gMgyzftIs33N7QFEo3AyW6YAUrNUKCllepAQPIDIMs37SLN9rW0BRKRwMlumAFKzZCiZSvAAIss07yPN9iHmPtC7HNOY0DIFkJpIoUTwACLLNO8jzfYh5j7QuxzTmNAyBZCaSKFE8AAiyzTvI832IeY+0Lsc05jQMgWQmkihRPAAIss07yPN9iHmPtC7HNOY0DIFkJpIoUTwACLLNO8jzfYh5j7QuxzTmNAyBZCaSKFE8AAiyzTvI832IeY+0Lsc05jQMgWQmkihRPAAIss07yPN9iHmPtC7HNOY0DIFkJpIoUTwACLLNO8jzfYh5j7QuxzTmNAyBZCaSKFE8AAiyzTvI832IeY+0Lsc05jQMgWQmkihRPAAIss07yPN9iHmPtC7HNOY0DIFkJpIoUTwACLLNO8jzfYh5j7QuxzTmNAyBZCaSKFE8AAiyzTvI832IeY+0Lsc05jQMgWQmqVDyZQwIXgAkWWa95Fm+xrbAYhK4WS2TAGkZslQMjVICB5AZJnmfaTZvta2ACJSOJktUwCpWSqU3BIiBA8gskzzPtJsX3N7ANEonMyWKYDUtA4lh8O3mwOE4AFElmneL1E4l5jR5j7QO4WT2TIFkJqWoWRucBA8gMgyzfslnkxcgrkP9E7hZLZMAaSmVShpERoEDyCyTPM+0pOJW20bIAKFk9kyBZCaFqHE0QqBPcg07yM9mbjl9gG2pnAyW6YAUjM3lLx9ZrPVBSCqTPO+1ZOJa1wAeqZwMlumAFLjFU6AcTLNe69wAsSgcLJ7kUKJ4AFEtsfCWYrPcALMoXCye61DyZzwIHgAke21cJbiKLUAt1I42b1I52oTPIDI9lw4S3EeToBbKJzs3hKhpJTbQoTgAUS298JZSvs5be4DvVM42b2lQkkp04OE4AFEpnC+ajmrzX2gdwonu7dkKJlK8AAiUzjbM/eB3uWYxsTy/FDu7u4uXB7K89a/30SRQongAUSmcLZn7gO9yzGNCeS5PNzdlfuff7b+RZqJFEoEDyAyhbM9cx/oXY5pTCDP5eHuvnTUN0OFEsEDiEzhbM/cB3qXYxoTyp+f9+Xu4XnrX6OZSKFE8AAiUzjbM/eB3uWYxsTiM5yLETyAyBTO9sx9oHc5pjGBvH6Gs6MXOEOFEsEDiEzhbM/cB3qXYxoTiM9wLknwACJTONsz94He5ZjGxPL8UO7uf5ZeOmekUCJ4AJEpnO2Z+0DvckxjAnl9S63PcC5D8AAiUzjbM/eB3uWYxrCgSKFE8AAiUzjbM/eB3uWYxrCgSKFE8AAiUzjbM/eB3uWYxrCgpUPJlDAheACRKZwfWs1rcx/oncLJ7i0ZSqYGCcEDiEzhfNVyVpv7QO8UTnZvqVByS4gQPIDIFM72c9rcB3qncLJ7S4SSWwOE4AFEtvfCucSMNveB3imcTPL8cPmUKPc/c56Zs3UomRMeBA8gsj0XzqXms7kP9E7hZLTnh7tyd/+z1Gvln/Lz/q7cPTyv+0s10DKUzA0OggcQmcLZnrkP9E7hZKTn8nB3XwZfxPzzs9zfPZTntX6lRlqFkhahQfAAIttr4VxyNpv7QO8UTkZSOIc4PD6wB1kK5+l0eL/MtfRcNveB3imcjDbqLbUXvx7X3EByOHxregGIKkPhPC+bc0tn6/lu7gN7pHAyyZ+f9w4aVOEVTmAPMhTOUrzCCRCJwsnu+QwnQH98hhMgBoWT3WsdSpwWBWB7jlILEIPCySTOwznOrQFC8ABoI9JsX3ubAJEonIzmPJzT3BIiBA+ANiLN9jW3BxCNwslITotyi6lBQvAAaCPSbF9rWwARKZyMpHCuQfAAaCPSbB9i7gO9yzGNCcF5OJcneAChPD9c/Nz+XfAnGCPN9iHmPtC7HNOYMJyHc1mCBxDHc3kw2xdn7gO9yzGNYUGRQongAcQx4qMUgUWa7UPMfaB3OaYxLChSKBE8gEj+/LxPefTxUmLN9iHmPtC7HNOYHJ4fwn+mpyZSKBE8gFB8hnNx5j7QuxzTGBYUKZQIHkAcr5/hTPoCZ6jZPsTcB3qXYxrDgiKFEsEDiMNnONdg7gO9yzGNYUGRQongAYTy/JDydFelxJrtQ8x9oHc5pjFBvL696uOzO+f/vnNgiQYEDyCOLzPeZzgXYe4DvcsxjQnh+eHsfGx/DyRx3jGzHs0wUigRPADaiDTbh5j7QO9yTGMC+PJZnj8/y/3Xz/b8+Vnugz/jXRMplAgeAG1Emu1DzH2gdzmmMQHUCueXcqlwVk0JE4IHQBuRZvsa2wGISuFkNG+pnW5qkBA8ANqINNvX2hZARAonE5wdQOL+Z/njoEGDbgkRggdAG5Fm+5rbA4hG4WT3lggltwYIwQOgjUizfe1tAkSicLJ7rUPJnPAgeABRPD9cPiXK/c/4Z+aMNNu32C5AFAonu9cylMwNDoIHEMHzw9tHJ2r+lJ/38T9GoXACxKBwsnutQkmL0CB4ANv7clTymgRHJY/0ZOJW2waIQOFk91qEEofHB/qhcJ5bei6b+0DvFE5mu7u72/pXmGVuKDkcvjW9AGxt1FtqL349hlZPJq5xAeiZwslsey+cpXiFE+jPn5/3DhpUvMIJMJfCyWwK5yuf4QSIw2c4AWJQOJlN4fww9+1RggdAG45SCxCDwslsCue/bg0QggcQhfNw/muJGW3uA71TOJlN4ay7JUQIHkAEzsN5Wes5be4DvVM4mU3hvGxqkBA8gO05Lco1LWe1uQ/0TuFkNoWzHcED2J7CuSZzH+hdjmlMaApnO4IHEIHzcK7H3Ad6l2MaE5rC2Y7gAUThPJzrMPeB3uWYxoSmcLYjeAC0EWm2DzH3gd7lmMaEpnC2I3gAtBFptg8x94He5ZjGhKZwtiN4ACk8P5Q7Bw1qwtwHepdjGhOawtmO4AHQRqTZPsTcB3qXYxoTmsLZjuAB0Eak2T7E3Ad6l2MaE5rC2Y7gAdBGpNk+xNwHepdjGhOawtmO4AGE8fxw4bQosT+7+SbSbB9i7gO9yzGNCU3hbEfwACL48/O+3D08f/yH54dyd/+zvJ5987k83N2V8y9HFGm2DzH3gd7lmMaEpnC2I3gA23suD3f35eefL//14axkfiqgMUWa7UPMfaB3OaYxoSmcw6aECcED2N7lwnn/9h///Cz3wd9aG2m2r7EdgKgUTmZTOC+bGiRuCh5PP8rh8O3C5Ud5mr5FYOeeH+4+v6X2Swl9frjb9SucLUuiwgn0TuFkNoWz7pYQMf1nfpfT4Vs5Pv43eS2AIc8P5wcKylU2S4k129fcHkA0CiezKZyfvb26eOvPTvO7nA7fy+PLTcsBdGuJwrlEOVQ4gd4pnMymcH6YGxxu+fmXx+/lcPo9a12A3izxZOISFE6gdwonsymcr1qEBp/hBGgj0pOJW20bIAKFk9kUzi2PVvj6Gc6TVgnwSaQnE7fcPsDWFE5m23vhvPzq4m2XaXyGE6Cm1ZOJa1wAeqZwMtveC2cpG5+P7elHORx/FZ0TWFqmee8VToAYFE5myxRAaiKFklvfUusznMAaMs17n+EEiEHhZLZMAaQmUigRPIDIMs17R6kFiEHhZLZMAaQmUigZ/7N/X9l0OhRgRZnmfaTZvsV2AaJQOJktUwCpiXRy8Mk/9+mUKN4+Cywr07yPNNvX3iZAJAons2UKIDVLhJJSbgsR84LH589zOlUK0FqmeR9ptq+5PYBoFE5myxRAapYKJaVMDxItg8fTyaueQFuZ5n2k2b7WtgAiUjiZLVMAqVkylEwleACRZZr3kWb7EHMf6F2OaUxomQJITaRQMvmgQVcvXuEE2sk07yPN9iEKJ9C7HNOY0DIFkJpIoaRV8Hh9O+23cnz8r8n2AErJNe8jzfYhCifQuxzTmNAyBZCaSKFkfvB4e+Xze3l8afIrAbzLNO8jzfYhCifQuxzTmNAyBZCaSKFkVvB4O0WKc3MCC8k07yPN9iEKJ9C7HNOY0DIFkJpIoeTW4PH2FlqnQgGWlGneR5rtQxROoHc5pjGhZQogNZFCyeTg8fKrHB0cCFhJpnkfabYPUTiB3uWYxoSWKYDURAolU4LHy+N3b6EFVpVp3kea7UMUTqB3OaYxoWUKIDWRQonTogCRZZr3kWb7EIUT6F2OaUxomQJITaRQIngAkWWa95Fm+xBzH+hdjmlMaJkCSE2kUDI9ePwujxfPtflfeTx6hRNo/E/u2AAAFR9JREFUJ9O8jzTbhyicQO9yTGNCyxRAaiKFklsK5+nwrRy/lM73z3d6Sy3QUKZ5H2m2D1E4gd7lmMaElimA1CwdSqaEiduCx3np/Phsp1OkAK1lmveRZvsa2wGISuFktkwBpGbJUDI1SNwePM4OIuSotcBCMs37SLN9rW0BRKRwMlumAFKzVCi5JUTMCx71t9cCtJJp3kea7WtuDyAahZPZMgWQmtah5O2UJLf+7DhOiwKsL9O8X6JwLlEOFU6gdwons2UKIDUtQ8nc4CB4AJFlmvdLPJm4BHMf6J3CyWyZAkhNq1DSIjQIHkBkmeZ9pCcTt9o2QAQKJ7NlCiA1LUKJoxUCe5Bp3kd6MnHL7QNsTeFktkwBpGZuKLn+OcppF4CoMs37Vk8mrnEB6JnCyWyZAkiNVzgBxsk0773CCRCDwslsmQJITaRQIngAkWWa9z7DCRCDwslsmQJITaRQMvXnn06X36LlfJxAa5nmvaPUAsSgcDJbpgBSEymUTPnZp9O3cjj+Ki/Vr/5XHo/fyuH0++bfBeCrTPM+0mzfYrsAUSiczJYpgNREOjn4+J/7XU6H7+Wx3jZfvfwqx8OP8nTTbwLwr0zzPtJsX3ubAJEonMyWKYDULBFKSrktRCicQGSZ5n2k2b7m9gCiUTiZLVMAqVkqlJQyPUg0f0vtxa8DTJdp3kea7WttCyAihZPZMgWQmiVDyVRTg8fL43cHDQJWk2neR5rtQxROoHc5pjGhZQogNZFCieABRJZp3kea7UPMfaB3OaYxoWUKIDWRQongAUSWad5Hmu1DzH2gdzmmMaFlCiA1kUKJ83ACkWWa95Fm+xCFE+hdjmlMaJkCSE2kUOI8nEBkmeZ9pNk+ROEEepdjGhNapgBSEymUOC0KEFmmeR9ptg9ROIHe5ZjGhJYpgNRECiUKJxBZpnkfabYPUTiB3uWYxoSWKYDURAolzsMJRJZp3kea7UMUTqB3OaYxoWUKIDWRQonzcAKRZZr3kWb7EIUT6F2OaUxomQJITaRQIngAkWWa95Fm+xBzH+hdjmlMaJkCSE2kUCJ4AJFlmveRZvsQcx/oXY5pTGiZAkhNpFDSNHg8/SgHBw0CGso07yPN9iEKJ9C7HNOY0DIFkJqlQ8mUMCF4AJFlmveRZvsa2wGISuFktkwBpGbJUDI1SAgeQGSZ5n2k2d50W08/Lh4szrtagIgUTmbLFEBqlgoltwQShROILNO8jzTb223vdzk5CjmQjMLJbJkCSE3rUPL2TPOtPzvF0+nSs9wCCdBepnm/ROFc4knB6YXze3l0gmUgEYWT2TIFkJqWoWRuGJny80+nb+Vw/FXqueO/8nj8Vg6n37N+H4Bzmeb9Ek8mLuGm8y+b7UAiCiezZQogNa1CSYswMn4bI57lfvlVjj7PAzSUad5HejKx6bZ9hhNIRuFktkwBpKZFKFn/aIUKJ7C+TPM+0pOJ7bb/+hnOk8EOJKJwMlumAFIzN5Rcfqb5tstYo95Se/HrANNlmvetnkxc4zKez3AC+SiczJYpgNTkfIXz1cvjdwcNAlaTad73+QpneX1LrScTgUQUTmbLFEBqIoUSp0UBIss07/v8DOfrW2p9hhPIROFktkwBpKZ1KJkTTBROILJM877Xo9QCZKNwMlumAFIT6VxtNz/TffxVXl5+leP5M90Omw80lmneR5rt87f5d96b60BCCiezZQogNUuEklJuCyaTDxr0N3y8f5bzLIw4VxvQWqZ5H2m2N9vep1OiePsskIPCyWyZAkjNUqGklOnB5ObTorz8KsevRy50WhSgsUzzPtJsX2Zbnz/P6VQpQFQKJ7NlCiA1S4aSqW4/D2flUPkKJ9BYpnkfabYPaVVen05e9QRiyjGNCS1TAKmJFEranYfTW2qB9jLN+0izfYiDBgG9yzGNCS1TAKmJFEqmBo/zz3F++K88Hh1cAmgv07yPNNuHTDpo0NWLVziBeHJMY0LLFEBqIoUSz3QDkWWa95Fm+5AWc//17bTfyvHxvwa/EUBbOaYxoWUKIDWRQonCCUSWad5Hmu1D5s39t1c+v3yGHyCQHNOY0DIFkJpIoUThBCLLNO8jzfYhN8/9t1Ok+PgEEFyOaUxomQJITaRQonACkWWa95Fm+5Bb5v7bW2idCgXIIMc0JrRMAaQmUihROIHIMs37SLN9yKS5//KrHB0cCEgmxzQmtEwBpCZSKFE4gcgyzftIs33I2Ln/8vjdW2iBlHJMY0LLFEBqIoUShROILNO8jzTbhzgtCtC7HNOY0DIFkJpIoUThBCLLNO8jzfYh5j7QuxzTmNAyBZCaSKFE8AAiyzTvI832IdPm/u/yePFcm/+Vx6NXOIF4ckxjQssUQGqWDiVTwoTCCUSWad5Hmu3ttvP61trjl9L5/vlOb6kFAlI4mS1TAKlZMpRMDSQKJxBZpnkfaba33dZ56fz4bKdTpABRKZzMlimA1CwVSm4JJAonEFmmeR9ptrff3tlBhBy1FghO4WS2TAGkZolQcmsgUTiByDLN+0izfZlt1t9eCxCNwslsmQJITetQMieQKJxAZJnmfaTZPn+7TosC5KVwMlumAFLTMpTMDSQKJxBZpnnfV+EEyEvhZLZMAaSmVShpERoEDyCyTPM+0pOJW20bIAKFk9kyBZCaFqFkm8PjA6wr07yP9GTiltsH2JrCyWyZAkjN3FBy/TM10y4AUWWa962eTFzjAtAzhZPZMgWQGq9wAoyTad57hRMgBoWT2TIFkJpIoUTwACLLNO99hhMgBoWT2TIFkJrWocRpUYBeZZr3PR6l9ul0+W25zscJRKVwMlumAFIT6eTgCicQWaZ5H2m2t9jm0+lbORx/lZfqV/8rj8dv5XD63fJXA2hC4WS2TAGkZolQUsptwUThBCLLNO8jzfb52/tdTofv5bHeNl+9/CrHw4/y1OoXA2hE4WS2TAGkZqlQUsr0YKJwApFlmveRZvv8bSmcQF4KJ7NlCiA1S4aSqRROILJM8z7SbB/S9C21F78OsJ0c05jQMgWQmkihROEEIss07yPN9iFT5v7L43cHDQLSyTGNCS1TAKmJFEoUTiCyTPM+0mwfYu4DvcsxjQktUwCpiRRKBA8gskzzPtJsH2LuA73LMY0JLVMAqYkUSgQPILJM8z7SbB/iPJxA73JMY0LLFEBqIoUShROILNO8jzTbhzgPJ9C7HNOY0DIFkJpIoUThBCLLNO8jzfYhTosC9C7HNCa0TAGkJlIoUTiByDLN+0izfYjCCfQuxzQmtEwBpCZSKFE4gcgyzftIs32I83ACvcsxjQktUwCpiRRKFE4gskzzPtJsH+I8nEDvckxjQssUQGoihRKFE4gs07yPNNuHmPtA73JMY0LLFEBqIoUSwQOILNO8jzTbh5j7QO9yTGNCyxRAapYOJVPChOABRJZp3kea7Wtspzz9KAcHDQICUjiZLVMAqVkylEwNEgonEFmmeR9ptq+1LYCIFE5myxRAapYKJbeECMEDiCzTvI8029fcHkA0CiezZQogNUuEklsDhOABRJZp3kea7WtvEyAShZPZMgWQmtahZE54EDyAyDLN+0izvdV2n071U6I4LQoQmcLJbJkCSE3LUDI3kCicQGSZ5n1vhfPp9K0cjr/KS/Wr/5XH47dyOP1u+asBNKFwMlumAFLTKpS0CCMKJxBZpnkf6cnE+dv+XU6H7+Wx3jZfvfwqR0epBQJSOJktUwCpaRFKwh0eH2ABmeZ9pCcT529f4QTyUjiZLVMAqZkbSi59nubWC0BUmeZ9qycT17iMMeottRe/DrAdhZPZMgWQGq9wAoyTad739Qrnq5fH7w4aBKSjcDJbpgBSEymUKJxAZJnmfV+f4QTIS+FktkwBpKZ1KHFaFKBXmeZ9b0epBchK4WS2TAGkJtLJwQUPILJM8z7SbF9ym08nb6cFYlM4mS1TAKlZIpSUcluIUDiByDLN+0izff72fpfTqAMQOUotEI/CyWyZAkjNUqGklOnBROEEIss07yPN9ibbevpRPQqtVziB6BROZssUQGqWDCVTKZxAZJnmfaTZPmTS3H/5VY5fzsepcALR5ZjGrG5KqFjqe9cSKZQonEBkEWf4JZFm+5Dpc//1nJunv++dVTiB6HJMY1ancG5D4QQiizjDL4k024fcOvefTt/K4fRb4QTCyzGNWZ3CuQ2FE4gs4gy/JNJsHzJr7j/9KIeDwgnElmMas4mxwaL1960tUihROIHIos7xmkizfYi5D/QuxzRmEwrn+gQPILKoc7wm0mwfYu4DvcsxjdmEwrk+wQOILOocr4k024eY+0DvckxjNqFwrk/wACKLOsdrIs32IeY+0Lsc05jNjAkXrb5nK5FCieABRBZ5ln8VabYPMfeB3uWYxmxG4VyX4AFEFnmWfxVptg8x94He5ZjGbEbhXJfgAUQWeZZ/FWm2DzH3gd7lmMZsRuFcl+ABRBZ5ln8VabYPMfeB3uWYxmzqWsCY+/WtLR1KpoQJwQOILPo8Pxdptq+xHYCoFE6uUjhvNzVICB5AZNHn+blIs32tbQFEpHBylcJ5m1tChOABRBZ9np+LNNvX3B5ANAonVymc0xwO324OEIIHEFn0eX5uicK5xIw294HeKZyMMhQybv1aFC1DydzgIHgAkWWY6W+WeDJxCeY+0DuFk1EUzutahAbBA4gsw0x/E+nJxK22DRCBwskoCucwRysE9iDDTH8T6cnELbcPsDWFk1EUzsvePrPZ6gIQVYaZ/qbVk4lrXAB6pnAy2qWgMfW/R+MVToBxssz1UrzCCRCFwsloCucwn+EEepdlrpfiM5wAUSicjKZwXucotUDPssz1UhylFiAKhZPRFM5x5oQHwQOILMtcLyXWbN9iuwBRKJxMUgsbY/9bVJFODi54AJGZ7e1ntLkP9E7hZBKFc7xbQoTgAURmtref0+Y+0DuFk0kUzmmmBgnBA4jMbH/Vclab+0DvFE4miVI4Xx6P5XA4XL8cH8vLlW0tGUqmEjyAyBTO9sx9oHc5pjGhfA0c1/69BIUTYH0KZ3vmPtC7HNOYUBTO5QgeQGQKZ3vmPtC7HNOYUGIVzlN5mrmtSKFE8AAiUzjbM/eB3uWYxoSicC5H8AAiUzjbM/eB3uWYxoRzHjou/f8ljX1L7WlEG40USgQPIDKFsz1zH+hdjmlMOArnMgQPIDKFsz1zH+hdjmlMOArnMgQPIDKFsz1zH+hdjmlMOHEKp89wAqxF4WzP3Ad6l2MaE9Jb8Pj6v2tQOAHWp3C2Z+4DvcsxjQlJ4WxP8AAiUzjbM/eB3uWYxoQUo3Beu1wvpJFCieABRKZwtmfuA73LMY0JSeEcZ0qYEDyAyBTOD63mtbkP9E7hZJa7u7v3y5qyFM6pQULwACJTOF+1nNXmPtA7hZNZtiqcLS0VSm4JEYIHEFmmWR9ptq+5PYBoFE5mUTj/dTh8uzlACB5AZJlm/RKFc4kZbe4DvVM4mUXh/GxucBA8gMgyzfolnkxcgrkP9E7hZLZMAaSmVShpERoEDyCyTPM+0pOJW20bIAKFk9kyBZCvTqfD+2UORysE9iDTvI/0ZOKW2wfYmsLJu/O3x2a8THVeNueUzrfPbLa6AES1t8LZer6b+8AeKZzsWrRXOAEi21vhLMUrnABzKZzs2uFv2Tw0eiYcoGd7LJyl+AwnwBwKJ7v1tWQqnQDD9lo4S3GUWoBbKZzs1hKFsxThAeiXwtmexwygdwonu3SpXCqdAJftuXCWssxs93gB9E7hZHeGSmWrwlmKEAH0Z++Fs5T2s91jBdA7hZPduVYqlU6AOoXzVcvZ7nEC6J3Cya6MKZMtCydATxTO9hROoHc5pjE0MrZMKp3AXkwpkUt97xIUToAYckxjaGBqiVQ6gT1QOLelcAK9yzGNYaZbyqPCCeyBwrkthRPoXY5pDDPdWh6VTmAPxpbD1t+3JIUTIIYc0xhmmFMaFU5gDxTO7SicQO9yTGOYYW5pVDqB3imc21E4gd7lmMZwoxZlUeEEeqdwbkfhBHqXYxrDjVqVRaUT6N2Yktjqe9agcALEkGMaww1alkSFE+idwrkNhRPoXY5pDBMtURCVTqBnCuc2FE6gdzmmMUy0VDlUOoFeKZzbUDiB3uWYxjDBkqVQ4QR6dq0szv36mpYunK2KosIJ9E56pjtLl0KlE+iVwjlOy5KocAK9k5zpyhplUOEEeqVwXte6ICqcQO8kZ7qxZhFUOoEeKZzDliiHCifQO6mZbiicAPMNlcZbv7aF1oVzqWKocAK9k5rpwhYFUOkEeqRw/mvJUqhwAr2TmOmCwgnQhsL52dKFUOEEeicxk8LhdEh7AchE4fxwOHxb5QLQM2mYLowpdmPLX6ttKZtAVpfK49T/viWvcALEIBGTnrIJ0NZWhfPl8VgOh8OVy6k8jdiWz3ACxCAVk5qyCdCewvkvR6kFuI1kTFotC6KyCfBB4axzHk6A6aRjUlq7ICqbwN7USuTY/3arj8J5LI8v87a1ROEspX1BVDiB3knIpKNsAixP4bysZUlUOIHeScmkomwCrGPbwnn5chrzftqybOFsSeEEepdjGkNRNgHWpHCuQ+EEepdjGgMAq/taJq/9ey6FE6A/OaYxALC67Qpn7M9wtqRwAr3LMY0BgNUpnMtTOIHe5ZjGAMDqFM7lKZxA73JMYwBgE+el8tL/b0XhBOhPjmkMAGxC4VyWwgn0Lsc0BgA2oXAuS+EEepdjGgMAm1izcLakcALEkGMaAwCbeSuXX/83MoUTIIYc0xgA2IzCuRyFE+hdjmkMAGxG4fxXq6KocAK9UzgBgEEK52ctS6LCCfRO4QQArrq7u3u/ZLBU4WxdEBVOoHcKJwBwlcK5TDlUOIHeKZwAwFV7L5xLFUOFE+idwgkAXKVwKpwAt1A4AYBRspTNUtoWziVLocIJ9E7hBABGyVI4T6fD+2WupQuhwgn0TuEEgJ05f3ts9MvhdJh0OVUuU7cx+nL41uQC0DOFEwAI6TDyFcqv31d7hXPMtmrfUyuEY38vABROACCgW8vmmxZl8/1rZ6VT2QSYxtQEAEKZWzYX+Z7DN2UT4AYmJwAQxtiCuGrZPPvMJgDTKJwAQAitCmLLbX39HqUTYBqFEwDYXIay+f7flU6A0RROAGBTmcomANOYpgDAZpRNgL6ZqAAAACxC4QQAAGARCicAAACLUDgBAABYhMIJAADAIhROAAAAFvH/1OCPj1jpxWwAAAAASUVORK5CYII=)
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
![](http://sga.uniube.br/images/uploads/15400/Imagem TE semana 9.jpg)
-0,4 EI e -0,67 EI
-0,8 EI e -1,33 EI
0,8 EI e 1,33 EI
EI e -EI
0,4 EI e 0,67 EI
![](data:image/png;base64,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)
MD = 316,57 kN.m
MD = 392,05 kN.m
MD = 177,58 kN.m
MD = 610,37 kN.m
MD = 32,46 kN.m
Determine, através do Método dos Deslocamentos, o momento Mc3 do pórtico abaixo, considerando N = 2:
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 40.JPG)
153,3
146,25
180,1
121,1
207,4
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Considere também que esta estrutura tem inércia variável da seguinte forma: Trecho AB = 3 EI ; Trecho BC = 4 EI ; Trecho CD = 2EI ; Trecho BE = EI ;Trecho CF = EI.
![](data:image/png;base64,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)
Δ1 = -52,048/EI
Δ1 = -37,365/EI
Δ1 = -74,315/EI
Δ1 = -63,542/EI
Δ1 = -45,122/EI
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
![](data:image/png;base64,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)
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
MD = 316,57 kN.m
MD = 392,05 kN.m
MD = 177,58 kN.m
MD = 610,37 kN.m
MD = 32,46 kN.m
Determine, através do Método dos Deslocamentos, o momento Mc3 do pórtico abaixo, considerando N = 2:
![](http://sga.uniube.br/images/uploads/15400/Imagem TE 40.JPG)
153,3
146,25
180,1
121,1
207,4
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Considere também que esta estrutura tem inércia variável da seguinte forma: Trecho AB = 3 EI ; Trecho BC = 4 EI ; Trecho CD = 2EI ; Trecho BE = EI ;Trecho CF = EI.
![](data:image/png;base64,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)
Δ1 = -52,048/EI
Δ1 = -37,365/EI
Δ1 = -74,315/EI
Δ1 = -63,542/EI
Δ1 = -45,122/EI
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
![](data:image/png;base64,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)
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
153,3
146,25
180,1
121,1
207,4
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Considere também que esta estrutura tem inércia variável da seguinte forma: Trecho AB = 3 EI ; Trecho BC = 4 EI ; Trecho CD = 2EI ; Trecho BE = EI ;Trecho CF = EI.
![](data:image/png;base64,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)
Δ1 = -52,048/EI
Δ1 = -37,365/EI
Δ1 = -74,315/EI
Δ1 = -63,542/EI
Δ1 = -45,122/EI
Encontre o valor de Δ1 da equação geral : M [r] = M [0] + Δ1 x M [1] + Δ2 x M [2] + ... + Δi x M [i] , utilizando o método dos deslocamentos para a estrutura representada na figura abaixo:
![](data:image/png;base64,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)
obs: para fazer os cálculos com a calculadora deve ser utilizado todas as casas sem aproximação.
Δ1 = -52,048/EI
Δ1 = -37,365/EI
Δ1 = -74,315/EI
Δ1 = -63,542/EI
Δ1 = -45,122/EI