IM 8.8.2 Lesson: Side Lengths and Areas
What do you notice? What do you wonder?
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enBiSeeCEYQdnZ2bjMfys4+HBxAE+DaH4V9KqdAZZ8GXfqw7PbRu8VKvqVvy+zqJ3C2RjYU1H7dlqmWfsWtf4YkODMHLPcc2WDoLa+KcGNunBmjCRyi8E8ZoRUD5ixQy105hRUXuVcrnBLxR/MTqYsYAPD6RqeEanf4rR18DD9nLh1jBBgKT7Ps5m4/fr2+Q9g5mKBN8y39YCQDrnMF4QuG8M577+EH99yDDz/8cEgyXPq1WKbkrrvuQqPU1QrnFzG4grlCq++yzE/UqnLOEvMTw9glSlC0qjHupLnd6BHgA06mD089dONc6KKbLW1YIjcvhd70UjitwBtOJzD0UaMHO/orjdCKHqvtzuR8prBibtUrFU6J/CN7A1kbGLnGEHVSG0nk3wQxNWzXQPPHsAhENGRqvZGE7v9UdwvrBs25TGA+YWEt3tjoRF23Bz0eL/yBwJCcgtS2aBb0ej1QIb+YnOgvkQhAmpoyjrVC1aveBHxN4RB1lvkwC96wAzYZJ4iGTGosv1BU6fYCS0uOmHOzpoSF1yaAzBtmHMd9lIzQGgHEXORC2qIecriDQjsUMQEyP4hEsdNFWIX6ElpHcHtz6iQjwPGl9kW/FgNkSOJLrYsCbMriOrxf1Y0GN/kPlcyDYCgEn98v/i76vIJBCrQQdMhnha23ZEiyr1AMMWS94Cpo29vCZCGh7X3ME5PccfPzUSIQCZ5xQ3fkQ5c+ZPm9yN+Ydarli3RVW8EdDLU3vsgocR3ZaUZoRYkXFzTuxll3iuU9yE7OnTj9ISy5QaYG46uKEsw4Pq2/9kWTLjWvq3MaJOmbJt9TF9fhQ1s3qrq9sDsakJWVJSbDGTNmoLysFL3OWoSa06FY0oMs6dyRF14Pbfs7NEPauZiZ3Xgcz4DhmhaJPKT25QM6CoXrUEqvkP8w6zTJoQPZSCRcnjPKHGOJgBFaw6BJnxWZK8gDyGhALmCMOjtyQa2wMHBHzsUtElgxzO3M1wmEQETzavIE8ffKLim7whpiB8zYimumF+LuR5/AQQcdhC984QvyOufss/Dxmz9C9+IpCGWdZrGmMwnYtdUyL8nO2yxiCTQFhmlqP82LRTFJQswaY/R5FVwtNcFAlhIKL0lUHuZ25uuoEDBCawiYGDlG9gSW/2BtKfIAsu7UjXmNUsSw1RvaLjR6iFuZrxIUAYoYvjgXON4MzrhuyRbsf/cz+NwX9sIuu+yKXXbZRV677bYrTjjyAJR8OBWhLa9D01TUx6pghFWCToEomh3Wvsi037wQivXFSFZMzYvFLes/tXgOjeCKAsvhTzFCaweMuLRQu2LdKNIokWGcxREPnmvHNbmNQr1ErYtBGFzIzFK0A4BJ/CfHm+S9K7fYcfApZ2CX3XbDZz7zmb7XLrt8Brvv/ln85bXn4ff2Qivj10ji6TBA1yzaKM06Zo5pwqxhVXM+D7rsSWGkl3pkxt81AHbRf2SE1g5YkUmBJS5+u8GJ89Icwl13xtI6vFzhxFqnT/xaO1xi/kwpBDTs1Vtw+OFfx6677NInsCLC67Of/SyefuYZuD2eIaMMUwqyVOwsBZPbLgnJquhWqxI0WU4YJt9VZrFxpCIuY9BnI7TC5h9qV6zhNLPWJb6Lw+bV4KgFTApuQ1azR+pb8RyjWY3BrEvEWzB4QgWgu0pRn/04Lj7r6/jsZ3fdXmjtsgt22313XPSrv2JeTRc8EmVo5kwiDnfsbQ6bDIM9VgHLrX+06n1lTYEqutmqDM0K0H3m49h/MVXukNJCiwJI8ge1lrIfj5W04YRFddh7RjUuy2zAjNpeMLSdZiFzpCoCXHxC0AGnONZVwVR0LTgBf/npFOyzz1595UlYluSzn90Nh5x6Jvb7WxZOWlQrvIbM45PNjplDqTqBrG0xk8vbV0Cve8SqsJx7LtTa+2UTZCJKRzY1UlpocTFxBzX+V9OLc9Lqw4EWdrxU3gGWtud3PMccKYyA8kuZELXmXqs0SMbx8Kx+BGlrluOoR17E3l8/BnvsuSf2/9IXcd0lR2Lphw/i6YKN+MpsGw6cbcPFGQ7Mq3eJ1mWmUgrPI9HU/YC3SWqjqeUXWSbD/Cug7e/KpkiEVwpDFG3XU1JoUXNiiDrrWpF9/dB5NdhzRjUuynBgdbtPkkeNdhXtFErG88LaFUlt6z+FIvM6aZeyz4JyzEZLrxP3rWzE/p9uxI+WlKGguASbi2eiI/1qeJeegK7mAqxs6cXpS2pBWijm8r1Q3oEmT0i4Dym8jABLxnkTTZ9IZumTBHPWRVNkSWEJmnUPQ3dX9Mvji+ZeqXlOygktLhauoEJWkwdXZjVIgvCh8+z4zXoneoOGyDY1H4P+vabACkD3VkKtf9paUDJOsAht3XUIhPzIaOzFXtOrcMGyOuQ3u+APBBEM+hHc9ApCmacgWHIXAv4udPoC+Nm6dqmmvM8MG67NaRR2fyapm01Rf8xT7b21KSLhLjkNJTGZwiv/KuiGWRbbvCSgpxou0fU3ZYQWhRXD1OvD9EsnLa7Dl2fbcUmGA0sb3CLIzEIS3aRJzrPCC0mgE7o1A7rkDsv3kP9N6Jr3Ab8TIRVCqzeIb+U0yNz5VXmH0DlZWpOG7tlscQySEbx+mnAP9gRCmF3XiwsztkWi/quqG42e4IgKUCYn5ineKzEZ+qxyKOsehMo+HSr7TOgtv4d2VYXL0piCsDvOkpQQWhGBtcbpw6MlrThwth1HzK+RyEDmXNFUaC08O8Jj/k4ZBBjF5amDtv0TKvc8q1zImvuk5pWYc7SSTc/blV3CRXhFVgM2dvu3nzeMLqz7UK5VeRdaJiCtxCRY2unHg8WtEEaN2TY8vbYd5Z1+uWfKYGw6OgAC4c0SfV3Vb1mmaGr2a+8D2vOAoMsYk3dALamFFgURAylo9ptf78J1yxulbhLLTryztVuKMFK7MgJrh1mRUn/Sx+AHukqtgozkCmTJddZMYm0rHZT5QaJkbnCOX1SHQ+ba8a/q7p0FjlbQ/naLJDf9GCnlLjWXoGVjRC3/jc2dUr7mS7NsuGlFM9IbjZafUtNtwM5yBaKjvQe6eQn06h9YBLwrr4Gu+9iqr2ZC4/uQS26hpSGM3X/f0iWFGMkZePOKJixpcMuCY4RV3zxI3TchL9C8TCrTqvSjoAu/Y9Hu+Nv6dricJ2R2p3ZE0tzvLG+UvL0B5w/D41uWQTEfZ/kF0M6iMEGuBTHvs8BhbaDIHn/2snrZQLEw5YD3S92RSdGek45nrbWByj7DEl6Vr4VpoIypkJMiaYUWS0xs6vbjJ2vaZWf89Xk1kjdDVgt+Z45URoDqtQIpdRhurPKvFJJT5tCgLRfbKtJaGFFbT29yi0n54Lk18n7QVAjeN+iymL8zjoMu+z8g0N0nuDj1WD25qN2HJ9e0CT0YTYbPlXagqidg5XSl8tCYvlsRhDRVc26uuFx8q7r8ScBZGPZzpfb6lXRCi8PJBSWvxYM7C5rF/3DU/Fq8X205v1N7uM2KIAhQsHBR2Pwbq4pwxonQm18OmwO3381yvlALoobO8PX/W902fNAO79+72SrPnnsedONCayHqBz+FF82Ff9vSJSkXNBf+sLAFqzt8IJWYOVIdAe5ueqFb0qW0DUPjNcl3mxZYhUNTWC9POqHFcPaZdS4pyMiF4LKsBqFhol9r0N1xqj8fKdP/sNO7uxyaTNzZp0nQhXZMB3zNA1LqMOL0A1uPaFlHL6gRXkrOo6HliuUn09V/gco8AXrNvdDu2u1Q5vUUXKzBtrTRjXOWWcnt1+Y2YlGDW4h5+b05UhgBbn6Y3N5VBl3+Y6jME6ELvmWVPAk4+8zXqYZQ0ggtPuAUTKwue/rSOuw704bv5TejrNPfl9CZaoNr+tsfgXDABculr77bMrkUXA20LQdC7gEXAMoMBl9MzWkUjf3NzZ07B1/0/4n+7yUasRZq1U1QOWeJqWcwnjkKxqJ2r9RnYz7XeWn1mFbTC1dQC82YkV39gU2192FTtrsGestvoVgBO/cc6K1vSHVsq6BoamGSFEKLD3W7L4Q/b+rE0Qtqsf8suyR1koqJ/ivz0KfWpN6pt7Jj9QEt6dArv23lX5XcafG+MXKQ3+9wcM4EFfBKhRNfmWMXzZ211aLX1i3mA5pzxLRTcifQsyGszW3/Y+S/pODa0hOQlAwpMjq/Bu9u7RZNLPrf3P6+5q9kQYCCKyhCStd+YNGJZZ0qjPHwOsLzN3VWuYQWWhwmPtCtvhB+v8EpFYW/OseO31Y4JWqQ2lfqDGWyPKBj2Y/wLjXkhm5eBrXiMqj0o6HKHhfGi6G43pi7V9DqFe5ARvktHFXEqQYXFRKjKi4yW/8YzrsZuI/8zUZPCL8s68B+M204aI4db23pgtNvmbbNXB4Yt9T5VItVgKwZUmSS0a4VPxP/rDWXU2OGJKzQ4vBQKNGZ/ctS6yGnlvXXLV1SwNHsTlPnUR60p9SgmPvSMDe8O50CvfFXAP1Lw+S9tPtDwkvJRPT7VrXA4bHytQb9rcG+UD7o1kyonHOgVl4LTXPkIFupyJzu8Ifw+sZO8aPtPcMmG7Jmb2gEWt5gjTGfJzwCYjUIAE2LoQumSnVkXfpoX07hYHMr4fvdrwMJKbT4cHNXSvMfc2f2mWnDaUvq8G5VN3oCJt+l3/im6NuwhhXoluRMTYFBv9KW3wLexgFNdBGgZG4pjfkOF6YsqcOJi2olkIfmu1EdXGTIdrDpJctMuOklwN86oEkycn9uuOjP+svmLvn9A2bZ8UK5EzRPGvaWCEop/j/N2i0Z0MVWgUm9+odA9wYrUX6QTVGyIJaQQovrx+buAB4qbgUd14y8+tDWY/xXyTIrY+6HFtJRXftfibgSx3XVG4CvNazlDC6AItr7w8WtoJZDUx3Nz6OVWVZXtNRSknwwVq9tXhwOWx68o2whBdd/qntEeH5herVs0Gpdpr7b4Kil0jfhjVlHPlQksKjkewCT2VVgUG0+GRBKKKElu2ANlDr9+P7KFtGwSEQ6u84FMmebwyAgZj9fM7TtrTArxTegq/8mhLeWSXBojBiB+pG9B8curMWF6Q7kt3pFYMU8u1gEcOufLFJUJhy77cMuLBSUvpAluLgxo0XhydVtEnZPjcscBgGppu0sgl73gBURu+pGK0Gemhh2DjBKBsQSSmjxISbx6O35zeDO8/x0h+S0GHmVDFNxLPrAVb5ZOP+YH6VyzhQCWyZpRmvr39jlx3dyG3HYvBr8cVOnBEGMRctEYJLfsOR7Ikx1w8yokkQpmhgBS+qnM5fWi2Xh8ZI2bO0JJLkRaExQT42b0ATN3MN1D0GoyFbdALTlhDWu5IMgIYQWH1wKpuJ2H75X0CxRghekO5DR7DEcgsk3J0fXIwZW+DssbSbnTCtpuP5/QMg1pP8o8mPcEDHRlwwV9CGRAaOiyz+GwQ+M/PJA298R/5oqucsqPyEBIZFWDPw/20bBldbkBuc9S+o8WtImIfJG4xoYs9T6lKbCINCzEQzKkCTkoluAlrSkNBUmhNCiwOICcldBsyQN0ySY2+IRp3RqTU7T24ERYKJTB3T1X6Fyz7WCLhrmWByCUeoj5ANkqRAm9rLS8HtV3SIoBv690X+qXVuh1txrhcDb/mEJ1Shux40b6Z2ymz04J61ewuEpuJj8zO/4MkeKI8ANUO9m4btUGcdCF98GtOfvRCGW6CjFtdCShzEcdPGjVS2yw6TAWtHqNTQ3iT7zxqr9NI0EuqCr/26FleeeD02BRZMgv4tyOaeW9fPSdhww24a7VjZLKsVYNXG7+zAEvmG2lD9Ryy8EXFuHDb+PXM/ngb7brGYPzktzSF04ciHaXIwqjJxl/k9dBKhxBSzBVf4EVNbJ0CV3AR2FUc+xRMAuroUWNSzmYZENmwme9GFRw6Jz2hwGARFIJBWt+0jKgKisU6BrPwSC21jVh0OJM4nTicE9ZL44eXGd+I/GrxJAOHes9BErx2bD81aYsgjY4VpriWAKrkUNLim3wwTk58s6pBIyzYjmyRgew6Q/g9GDPSfEvF0AACAASURBVJssUyGJdtc9APRUJI3GFbdCiw9fi3cbOwDzZSJ1sPhwmiPVESCZqA+6cb6lYWWdBl3zb9G6RqJhcS55Qhq3rmgWFooHi1rFTzquc4zFIjsKoPIusiK+nCVD5o7tONKc/hRc8+pdOGFRbR8vYldAxRiav+Mvmb8TEwHuXkJAdxl0yZ0QU2HpY4CrOmx5SOwFNC6FFheMLr/CPyrpFLfJg/mpvdeEtSfmEzQOrSavn1fYJVT+FVYtrC2/A3wtI178qVEtcrhl4T91SZ0Q145/NHmYl3DTC1YeWfEdFr1TlNoWAeUzwoKS/6jsltIm1BI/tvegJ2gE1zhMuMS8JU2FHfnQRTcJfZnezOT6phE9I/HY8bgUWiwvQiHF4nhHzK8BKw97gtrsIuNxBk14m8KRUp1rpcqwcPrRxOZh6Q/uIKPfRXLhpzbP6sEsY0POSjJfRH+HGDpPbctVDZV3qWUmbJg1YjYDttPpD+F3G5wSos/nZaHDylmckD7E0H1z6UQgENa4mpeEKZ9OFN8vAp0jek4moqUj+Y24EloRtuu0RjdOWlwHVhv+dXmHlDYfSafMuUmMAM0erq3Q6+63NCwm6vZuGbG9nos6TWzk+KO/lFGDDvdIWNxjxdgSvtr+T4t1vvD6UZVUpz+uyRvCM+vaQbLos5bVI6/Fa9hhYh2eZLo+5IWu/59FGE3iZkkF8USVChKPMMSV0OIDyLpC30h3iFnwidVtfQ7meATPtGmiEWDycCv0+qcsX9DqHwCda0a1a6SWtabDJxRJLAXysb134lMoqG3526yaW5knQ1e+Hta2RoYrBXBVbwAPFLVIDuM3sxokRYR9NIdBQKwPzBG0/QMq52zxAevmJaOaa/GAZlwILT5bTJJklv+3c5vEVHP3yhZs6vaPDYVOPCBt2hAjAgxt74be8gdLM1l5rVXAkXb7ER5czEmsTGYJmgWZSMyQ94lf5MPaVksGVOYpUAVXQ1MIM1F0hAefHxY8vTGvSTRHJuFX9wYmoU8jbLg5fYIQYC5jO/SW30mOIHkw0VFghchPjEF8zPoZF0KLi0WrN4QHilqxx/RqXJLRgHVOn3ngxmyYk+BGLDte+x8wrJ0JxLpx3qgWdyLBnCZGop6wqA6HzK1BYdsY8QuOFuZgL1TZEyK4NP1z/vZR3YnPEbkSaerca0a18BR2+k3Vg1GBmZQXsb5bA3TZk1BpR0lkoVWYNLE4CiddaPFBY+DFi+Udkjx83MJa5DRbbBfGupGUT87IO6UCwoyu8r8JlXECdM1/wsUURzdD6lxBIVymWfDZde1ws6z9yFs1dldQs3KWQDMogyzwTQtHHFTCxrAPDCRZ1uiWwIxD59XgT5s65fma1P6NHVLmTjEhEA7M6N0Cvfou61kqewI6wSIKJ11o8SH7oNpi1eYiQsb2CYvgimkCmIvHHwE+ZEr8VlbdoOOgN7+C0UY/ceFWWuOfW7slKpXJ6qRuIoXTpB7sI4tVVv3VqrlV9oTsiK18s5G3LMIMz3QRhvFPq+2VBOpJ7uXIO2KuGAcEwoKruwJkZFHZpwlf50hIpcehUSO65aQJLT5AjBbMafGA1EwsL/6HDU6wNMRkryEjQtCcPH4I6BC0txG69DEr8IKZ/b7mUeeZMNCHHJY3LG/C3jOq8a+qbtFCJn++RRaS9dCF10kpdV3/qSRPjwZc9odmQVovWG/uW9mNWN3hm/hAk9E03lwzAQgwT9AP3ZIGlXWaUIppx7TwcxX/W5tJE1pcQBhifEeBVWbk3lUtMCXFJ2C+JsxPaDEBKqlBxQfrEqGmsWpije7BYjIuQ9wZGs6Any3xVt4j6LIoqTJPgl5zj0W9M0rDJQVXrTsoApobQvqLGz3BUd4tYSaNaWi0CES0e6Zc0L9FVvhOMrOMPAgo2p8cq/MmTWhxJ/hCeYewVTO3ZEO4DMTolqOxgsPcJz4QsDQP3TQfasWlUNlnyK4QIe+owtvZJ84rEi1flOHAwXPsmFkbhwwrfTlo4bpI9veiqrk10Jixv2T7YDmf05bU4ctz7Hh9U6ewaEy+ZjlQi81nE4tA2PTucUAzCCjjOKjyJ6E99RPbjFH82oQLLZoEmdQ5raYXJy6qw9ELajG3rlf430bRfnNJMiJAws+uMug1P7CcxVVvWhF1I6A56g8LF+kOfwgvlXdgz+k2PFjcCrtrIhOJ+7dmqPdcSIIWC3z26dBFNwOdq8NhyUNdN/B37LcrqPGhrQcHz7XjnGVW0VQ+f+YwCAgCnG9da6FWXW+Vy7H/U/yro/WnTgSqEy60uPsr6fDhuuWNkgj5aoUT7b6Q8WNNxGgnym94G6E2vmgxXqx7yGK8iMGwxUV6aaMbpy+tlzD3hQ633C1ul253DfT6n1rF/CpfG3UIPIebfWSlBDJmkBH+phXNWN/lF39yokwH087xRIDFSb3QjpmSeKwLrgZa08Ma/nj+7ujvPaFCi1pWgyeIp9e2Sy2gOwuaxSzIBytuF5DRY2uuHCkCYmd3QddPs5jbV14H3ZYdU+Y+51WdOyg+HZLKcvFu9IRG2rKJPV8HoFuWQRV8y3KSs5Aftc9RPiVMPF7r9OGmPCtx/+UKp1CjGTPhxA5rXP8aA542vwJFDX/d/WFqND4n8bcyT5jQYtdZAuIje4+wUp+bVi+73/GrWxTXU8Q0biAEmI/VuQ6q6GbLj2V7J1zZd3QPDq/yKS3+KwqsSzMdKGjzSvj3QD8fP59pq7DlphetqMmKZ2Myj7JfIa0xvbYXJy2qw/GLajG73pjk42e846Al9Kf2bIRe80OrlEnVX6y6dKkstCicSDNzSWaDEOG+trETpv5PHEzWuGkCeQXboCp+DpU1Bbr8JxaBbAwPDV03Na4grsttxCFz7Xh1g1N8PImhYWjojkKowu+I1ommRTFpnBxmMtr/qrxDNo1XZjegsidg8rfiZv5PdkMYBh8Qphm14nIrWrc1M+Y5Nx69mhBNiztecrs9vroNB8y2466VLcKLNh4dMvdMRATCDwzt6lmnQhVeB+1cNep8rAgCTLL925YuYVqZmtMopujIdwnxP0Pgq/5iaZ2rvgsdY0kJCmvye1KIM0/tubJ2CYpKDCGeECOW+I30d0BXvmbNueJboZkXGcPGcTwAGXehRYFFLYtZ+cyPOWNpndA0GbPgeAxngt6TScTuWqj8q6ByzhI2aoQ8o35YOOeoZdW6ghJ4ceT8GkkkphBLqIMmG0+dZS7NOB665l/hne/o+sGryP5B1pnjF9aKxYOUT/R5mcMgIAhI2oUNqvgOK3J365+sJPdRRu6OB6rjLrS4TjR7QpiypF52vL9e3yG7O/OYjMdwJuI9rSq+av3T8pCotfdJ+ZFYdnfUHOjLYsDP3jNsuD63EU5/gjKtUKDXfyIOchIFU4hZCdajG2s+dzTL/7y0HQfMtuH8NMckMdyPrv3mqglAgHOOOZJSxuRMaEm7iJ/gpXEVWnxAyCPIulikk7kkwyF2dWOOmICJlxA/wbykAHRbjiWwcs6F7iiKOSufGyUm1R442y7aBBnd+VlibpTIDNIDVfJ94SVUG34RUyQhpwWxIDsGrR4U6r/f0ClCPjHxSYiJnmCNZBi8C7riWSvpuPgW6JArbopGjpvQ4gNAswNLJdCPxRdNETQLmocjwebweDVXiiA6oVZeIxFLavNvY67vww0R87Low+KC/HBxa4Jr9lbCMTpWWYKdBKejrLnVfxj5bJIVhBRPZINnKSAKM3MYBAQB4f1ssFJPWFmh7sOYN0tjhey4Ci3WyLou1ypK92hxm2FvH6tRS5b7MFpp6+uSRKsKrgL8HTHt5rjmUrP/xN4rWtZh82pQFY6QS2zILIJTVW5VbFZMuB6DoAwK9zsLWrDPTBtYNJKFMY3cSuyZMnatD7Oz1H1iPZ/53wRc1ayTMHY/Mco7jYvQ4sSnRvX3LV0SanziolpJ8DQ7uVGOUjJexp0cyyOQW5AEsS1pMWtZjCdgiPulmQ3Yl1UDNjplHiYFfMTLVWWVk8g9B2iYGTajjk7M8Co+jxu7AzhyQa2UavmkpleEflLgZToROwIMvgh5oFZ/X55RtfF5WCVMJldwjYvQoomGOSAXpTvEl/V+VY8xC8Y+hZLrDgyt3fC8VYl43cMxRcVFgKGW9UqFU+iKLkivR4cvlEQmr7D/j6zcJDctuQtagjJGv4BQcBGzP2zsFPP9t3Mb5bmN4Gn+T3UEOOdCgLMYKvtMq0BpW07MPudYUR0XoUUzw0vlTillfnV2g+EWjHWUkup6PgjKqkRMLSvvYmgnSWFjK4lAHw2DLy5Ic+DLs22YVdebZBslCzeQl7HoJvE1aNtbYcaQ0U8QalukuboiqwFfm1sjAoypAaPT30bfDnNlvCIQDsrY/LJsMHX5j60CpZPY3HERWrktHpyXVi8lvxc4XBKZNIl9ND8dVwgwHr0JuvwJqPRjocjgHnSNOicr0rVWXwhPrbFIYclpyRD3pDxIbto4T/LZFBOOncUxdTOibZHi6UuzbCK8TFBGTJAm38XcUPZUQK28Fmr5BZCCkZO4rRlToUWzIBnbf7q2TRjcHyluNYUdk28Kx9Yj5ZNJTw2LD4Hu2RBTxVQuukprzKlzSWn5UxbXIavZk7wbJZprvE1QwgJ/EvSWV4GAM+YAFhaMvD2/WXzQrHjMUi7mMAgIAkJk3Qtd875lmi59BHDbYsoXjAXZMRVazLZnWPs5y+px3MJaZDZ7JOzdmBpiGaLkula7tkKVPgyVebLF8BDsiamD3Cgx+OK+VS1CTcTkdS64/Dw5D5oJg9Ct2VDLvwG1cqrFhB+jeZVk1nPrXTh2YS2+ke4ArSVJC2FyToxx7pWWyuGq6FYwyV3XfwwoFmWd+GNMhVaTJyhaFpM6n1nbjiZPyEz8iR/TOP3FML9g3ccWIe7qu4VVOlZfFsO2/1PdI8VEWZV4VTtZ3JPdJ0MTawv0lt9awn/Dz4EYK85GfFuPlrRKCPxv1jvRlagsInH6BCR8s4K9kq9FflCrfMnmSenSmAgty0QDLHK4hdPsvDQHsps9Jnx2UoY0Tn9UOM0qodexlPwx0HXcqfli8mVx3pU6/bh+eZNEDDLFgkFAKXEwx40s8KtulMgu3bw4ZjMrhf1Ch0usJPRJL2+xLCUpgafp5PAI8BmW8iX3WgVKHTNiSrsY/gcHPmNMhBZNMSx78GxpOz43rRq/KutAp9mlDYx4qn6qWB11hlXSm1pWd0VMAotzzh3UeKuyC3tOr8at+U3Y2O1PohD34SZKuOJs9d+h0o+GLnssZj8DNwEs0vp/q9skz+2Fsg4wwMUcBgELASsEXtd/auVW0rflqppw39aYCC0mEtMGfvrSOpy5tB7pTcYebqZ5fwS0TG699n6rMmrN+zGX8+acK2r34cJ0h9AQfWjrET9WyvlhukqhSu60FpGGWUDI3R/4Eb8nrvPqXTh9SR3OXlYvaQTcIKQcriNGLoUu6NlkFYvMOkUiWRGaWN/WmAgt0jX9Yl27RAwycrDN7M5SaAYP19WwL6t5ibWwrv5B2JcV2w6ec+z50g4J076/qAV2VyA1F1blh679QJzjLBiJ3s0xRRJSQPF5frC4FXtMr8afNnUaFvjhpniqfU+rie0fVs2ttfcCntoJRSAmocXdFx24xe1enLioDmctrRebOHdr5jAICAIMl/U2WnlZjBis/mtMdnDOLNHsmz0SfHHm0jrMr3clD13TSKcN/QyeOujSRyTvrS/hOIb6R8T4I3uPRBJekO5ARZff1Nwa6bgk8/mcc90boEvusnxbLeljwmgTLWQxCS3Kpt6gwmsbO7HXjGo8UNSKDp8h3YwW/JQ4j5pAWy5U7jnQRTcDnWtj6jbnHHMBGeLOZNgn17RJfajU3iax1sh8YRchl6PuLo2ZYYQFNEmiS4z/sbVb/IcxDZy5OLkQIBdm1RsWS0bZ/wH+9pg0/JGAE5PQopZV3RvAOWlWXtYn9p7UNNGMBPGUOpe1oLqhKn5m+bK2/C7MfjF6EKhlsfLuwXPsUsCQpW9SW2CFsfS3Qa9/RkLg1fqfQIufYfTIkJPwva3dOGqBlbfFQCtT4Hj08zYpr+xcC5qkWSySkayxpq9Ei1FMQosT+9/VPVKT57t5TcJhFu0Pm/NSAQEN3b3eohwquArayQKPo/dlcQmmlsXk16/MsQs5LiMIzcFAzBDQucbStsia35YbUwg8NVrhJMxukOhMBmdwk2rQNrOtD4GgC3rTSxIRrDY8FzYR9n07bm9GLbQ4ed1BhUsyG4Rj8O3KLpOXNW7DlIg3tmpA6a1vSPFCvf6pcFmD0S17vMqntAQGfHGmDZdlNkjwBRdScxAB4u2D3vwKVOYJUEW3QMdA70RYiS1Z87lBuDGvSZ534642s60PATKzdKyEyrvE0rb6qg6M70M5KqEVmdAZjW5wATlrWT1oAzcTum84zRvavP3t1oTOPQ+6eWlMBeS4gJZ3+iXxlYwrDHE3AmuHacbgC08d1IrLLQd57b9jC3rRkCCMUxfXieDKbzXJxjsgnuJ/0vzvgl73gEUYUP23CaluPCqhReFE+pw7CpolzP3npe1JVgYixefiWHSfu7C6j6AyjpddPwJdo04m5iaJ5TIY6LP3DBtuymsSFnezSdpxoCJUWZ9IwrHKvypcc2t0Jlni7g7pvmTjB4taUzdKc0eozd8WAtycNswRnzU1Lk0u0RgiV6OBdVRCizvcDV1+iSw6Yn4NSp0+o2VFg3bKnEO2Bh/Uquut3KzaD2LagbFWVkaTR6rr7jOjGms6fIaIedC5ROzdEqkppMRkgQ+Nni6L2Oe1ePHl2XZQwyWfqNksDAp+Cn6hxOyvCq4SBng0zY/Jbx0NgKMSWmRzf76sQ8Lcb8tvAhmix9eKGU1XzDlxgwB3Xx2rLC0r5yzA1zbq3RfnFWtjMdBnv5k2PLG6TXynZr4NMdrUcttXyIZB5V8BOFfFpOUy4OqSDIe4At6q7Db4DwF96n0V1u5tb1na/ep7xj1na8RCi7sspz+EKUvqJKqIFWIpxMwiknrTdeAehwMCNr4gOy9d8SygAwOfOsynnFMMcf/n1m7Rsk5cVIt6d9D4sobBTcwz1LY2PGdtHMp/Ah3oHvXGgdrW+1XdIrS+mdWATr+p3jDcEKTU96xE7qoWP6rKORO6u3xcta0RCy0KqDn1LnHMHjW/Bq6gSSZOqQk6bGc1tMcRDgY4WTSu0Ya50wxd2RPAt7IbZMH8x9YuiSA0G6ThBoGx6UpYC1Tu+VArLoNunD/qkGSOQ6MniKMW1ODw+TVIa3QbE+FwQ5Bq35NEYM19VqmcrX8cV21rREKLiwWF1P1FreLPeq6swzhmU21yDtdf7rrIAp19hpTNQMgz6h0+6zn9tsIpKRVX5zSKlmX8KcMNQL/vA93QZIHPPBlq3YPQLlu/L6N/S8yZbvDjNVZF8p+ubTfWlejhS40zaZImv2gG0y1ulnpv45XVN2KhxQAMhrgfNMfe5xBPjVExvYwKgZAXqvRRiwevhiHXNA2OTjdi5QAmEh85vwYzansNlVBUA9DvJCYc91ZCFd9mkZtyPJS/3wnRveXoUXCtbPNK9CaZ9Zl4bDYQ0eGXEmdxrgU6ofKvhFp+IXTzslE/98PhNSKhxUn6ztZu2flem9soARhm4g4HcQp9zwCMngqogm9ZnGTc2Y8i/JVzKlKfbf9ZNrCarvFljWYehfNoqPlmnQa1+gfCUDIauh0Kru6AwjnL6nHMwlr8r6bXWFlGMyRJe42SDZHe8nsrR3DjCzHlCA4F04iEFnNl7l7ZIlGD71V1GxPBUMim4nesplv7H4scd829QMg1KhQYrba4wY3Tl9aDwRdLG92GZXxUSIYvclVZFaOzT4dmAqi/Y1R3Y5Twi+UdEvr++Oo2yeEa1Y3MRcmJAF0DpBJLP1a0eya6j2bTOhw4UQstOmPJSHBhhgNfnWPHpm6/MQ8Mh26qfR/ogip7wsrNqp8mtEKjgYAkzD9a1Sq5Qb8s6xCtazT3MdeEEQh5pFgfAzJUwdVhDkg1YvMNIzlpIjxoth1XZDVgfdfITY1mTJIZATo/W6BX3WAF/zQtGhcS3aiFlrA+V3VLDSMyEpgy3Mk8+UbXNxLiCutz7rnQPSxGGBzRjWiC4jyj/4rJrAyvLmj1GjPUiFAc4GSaaH2t0BU/l1waTbb9UZSS4MaVZloGxRy3sBYf23sG+DHzUUojEOyBrnxNSHT15pdjrlA+EJZRCy1GDT5U3CoJnm9u7pQ6WgPd0HyWugjo2v9axJllj8siOVLTAAnbt/QEcN3yRjFB/XFTpxXiPro4jtQdiJ16boXA69ZM0bSklER7/oiDMuhrpF/r9xuc4iJ4em07QtrkaO4Edyp/wECfSGI7XQSjjFgdCsKohRapc67MshjdSzp8Zvc7FKop952VFa+4k192uHAOSqj7CKIGKZdYUPQflVYS63dyG4UqLOWgHM8OB93Qm39jBcmse9jaWIxwjCi4sps9+ML0amF+r+oJGDfBeI5Zot2bUYT0oRbdIrmaDIMf6yNqofVpTa+U32aJAvocaCowh0FAEJCowY1QLL+dPUXqOo00zJ2L4eZuP05ZXIdjFtTiX1UWXZBBeAwR4Dh1V0gejUo70mLeVyNPSajo8uOiDAfOXlaPJQ1uCcgaw1aaWyUyAjRF+zugN/9W2FiYJzhSi8tw3R9WaEX8DIwa2mtGtSR7dvqV2V0Nh2wqfa8D0E2LoFZ8E7rkTtlpjaT7FFiMTHtpvVPygG7PbxYGBn5ujrFEgGbCEHT1Xy1W7qJbAW/TiCl3yI7xkzVtOHiuXeqbcezMYRCwEAhzETYttPyn658B/G0xlSXaEdlhhRYXjhpXEN9f2SJUOvPDFUx3vJH5O4URCLmgq/4KlTUFuvL3lpN/BHCQ266k3Yevz6vBCYtqMafOZTZFI8BvZKdqwG2HKrkzvBN+a8TckCz++l9bjxAMPFzcigbPyAJuRtZec3ZCItC5Gjr/Cuji2y3LC82GY3QMK7S4oCxv8eDiDIckFha3s8yBOQwC/RBw10KXP2mxLjTOG1HEEDdFdO7fvKJJarMxkZh/m717P3zH+i3z6aQG0hlQyy8AereEta3oUCf/6PJWr5gHL81skDD4sW6iuV+CI+C2Q5c+BrX8G9CNc8KlicamT8MKLYYgf2DrEaLMewtbYOsdHWP32DTX3CUuEXCugiq8HrrwO0BnSdSh7lwiuSliiPveM6rFn1XaaWqzjf8Ya4C8hGvvh0o/CsLEH/JGnbdFayCJjO8qaMah82owq250SeTj30/zC5OGQKBLEtlV5onQW/8Eqwjs2LRmWKHV4VN4oaxDCHL/tKkTPQEmJZrDIBBBQFuJq1mnQpf/BPDURu14pZbFTRC1+C/OtOF3G5wSlRrdfj/y++b/USFAcw3z6rKmWGkKrdlR+7Y4PtSGXyrvwOenVePPmzpNTb1RDUISX0Rtnn6t3PNF44Kresw6O6zQ2twdAB3j5BubXecyoe5jBn0y3IhVcj3Q1W9BLTvMoggiq3sUxj3RspTGr8utDdFFhoR1gicEx84LvfkVqPRjoFf/AAg4oxo7NpQbDlpgyA35SHEbHIZAd4LHL85/jpsi+rWKb4UumCobpLFq8bBCK6/Vi9OX1uHK7AYUtbPM+Vj9tLlPwiPA8FavA7riGSv3p2FW1IsezYKrO3w4c2m9mAYXOqwNkZleEzUrrEhCeBuh8i6GyjkHuv5/I/I9ZDZ5ZPyYv8k8To6pOQwCgkBkbSj/iUWg27w06rVhOASHFFqcgiz4SNPNvataUOsy5QiGAzSlvuduqrtcIoRUwTUAWRaiPBiBxqAL7tRvWdEsicVmyYsSvLE8TUiOP7IqHBffDu2qjHpxYb4W8zaPXlArhSHJTWgOg4CFAEPf/dBb/2hZYezvACF31HNrKBQHFVqcfqRuemNTJz77vyr8Zr3TsLoPhWQqfsf8rLYcqNzzxKnP2k3RHJxbNDWftKhOyFfXd/pNgmo0wI3HOdx4+NugSr5nacusOsvPojDxOv0KT61tF2o3JoNzvTCHQWAbAhq6/hMrFabi56BWPxaJxoMKLW6aHJ4gHi1pE1b396u7t7XFvDMIEIGQW0xKrFaqN70Y9okMDQ3nVZsvhDsLmrHXDBteKO8Qp77ZpA+N2/h9G04GbVtuaVurboB2rooqApTVjP+yuUsiCJ9Z245m79jl4oxff82dJxIB3Zpt1dejFt9LEu3Y58igQothrVT/r85uEJ8W6xuZwyCwHQJkDqcjP/sMaPu7URGwukMa727tFkqw05fUg4E+RmBth+ok/MGSEs3Q65+xyspsjG4DQnPg3HqX1D37bpjebRIab34ynhHo2Qi9+m6ovIugR5AOM1SXBhVakdo5xy+sxTU5jVjnNEnFQwGZkt+5a6DX3GvRNzUtHJZZgWbBMqcf31neJNr737d0ocukUMTH1KFvq6MAasWlYaLTpWFta3A/FTe2JM9mba2TFtWirNPU14qPwYyjVvjbodc/DZV5QpjrMnY5MqjQ8oY05tW7xF7NIAyj+sfRRIiXpnAXteJyqKJbpGLpUKo/lz7m+L22sRMHzLKBNdlIkGto6+JlMLVFdFr5uiQcq4qfQQ/jg2CwYJMnhNvym7HPTBtyWjxGa46X4YyXdiifJBerrNOE83IskowHFVrcATNpkMX4ni/rAIWYOQwC2xDQwn6hMo6HXvsA4G0Y0slKzX1FqweXZDpwxPwaKSBIolUzq7YhOrnvOBIacBZDF14PtfxC6IbZ4YivgVvGK+jXerykTUqVMG+L64QZ04HxSslPqcHXT7PMg+U/lsrGseIwqNBq8YbwWEkbjlpQi7cru6SibKw/Zq5PFgT6MTkv+7r4QhjeOtTR6AnhZ+vapbgjSVaZPmGOOEQg0Altexsq5yyoNT8E/2CCygAAIABJREFUXFuHbeSrG6zNLYNquNk1PsphIUudE3QQui0XqmAq1KrvAp76mPs+qNCqcwfFl3XakjoxE5ocjJixTqIbkE3BBW17y7JVV74+aIg0d92cOxlNbtGwzkmzajCR09IccYgAo7t6t0CvuQ8q82To2g+AYO+QWvSHth6pgXb3ymZws2uGNg7HdbKaxCTjns1WUcjcczAWdE6DCq2tvQEpE3FhhgNF7V7je5isQY/H3+VEDDihNjwHlXsOdN2Hg7aSCxjrL923qgX7zLCJtkXflhFZg0I2+V9wd1z3keTfqZVToalt6cE144wwM8blmQ2odwfNWjH5IxhHLaCv1Am95ofiKyW1U6y5WgMKLS4oG7r8Yqe+NrfR8IrF0RSIi6ZwN84Q6TX3QK24DLp58aDNigT0HDTHDm6AVrR6jcAaFK04+oLpDKWPWJr05lctbWuQ5pU6fbgkw/JVsqq5oXMaBKhU/ZiFR1m6iNWyWbpoGFfCcDANKLRCWiOz2Y3dp1ULWS7/Njvj4aBMoe8ptDz1UuRNrfw2tLN4wM5Ty2IiMWsuHTK3RlhVTJXbAaGKvw/JdtKSJpsSlXGcZdaRxNCdV4ImTxDfzm3EfrNsKGzzGlLt+BvNSW6Rhq58zTI32/4hJNuxNGhAoeULaalMSnPO46vbYHgwY4E4Ca+lqchVJbtwVXwHtLtmp05SYNFv9XZlt2jsl2cZ09FOIMX1ByTUDUq5GYkQLXvciiSkaXiHgxuRewpbhEfyI1uPCdraAR/zp4au/Y9VAmfTS0Nq7dFgNaDQIofY7zZ0Ci8cOQd33ltFc2tzTtIiwDDW9jwIfRPD3emo3+FghgT9GwxvP2xeDd6r6ja+jh0wiv8/NXTnaqj8K0BtS7dmDejb4iaXkaFfmWPHqxWd4N/mMAhsQ0BDNy2wwt7XPQQEOrd9NYp3AwotFnijhnX4/Br8c2u3EVqjADapLyF7s2OaRbBa8TNA7ZzlTl/WA0WtEnzx3RVNklhslrJEmxX9mLrJL1l4vZDr7kimS42aBWK5OSFXqTEBJ9o4j3d7tcW2kn8l9KobAH97TD84oNDq8Idw04omiR4kG7dZbGLCOPkuZpZ71ZtQ2adDV/5+O8cq50pQEom94uPgxie72WMqBCTqLKAT3VMPRhGKmdD+Xni8t60KTGlg2DtzOm/IazJCK1HHetzarYUsVxVeJxGp8LXE9EsDCi3mWpyX5hAizLwWE+0VE8LJeLHyQm/8pWWjtv9zJ6HV5A3h5hVN2HuGDY+UtBnHfKLPAfq2HNPFHKwKrgZ6Kli7uK9XjBZkEc/jFtbiogwH3KZSbB825g0RICFzK1TRzZZLIYqE9aFwG1Bokb3g0Hk1OC+tHqx1tG1PNdStzHcpgwDLtJc9DpV7vpgJoQPSddGyNMDaSofMteOUxXVSKcC4OBJ8ZkheXjf0WiYcnyQbFoQ8fQnlHF9GDZ68uA4nLa4zdbUSfLjHvvkaCLqgS+60hFZ7Xkw/MaDQsruCYtrhrsnWGzBCKyaIk/DikAe6+A4p065bM/uc84wYZKkRsn7vOb0a71Z1i5ZlNj2JPgcYSaigO9eCxKfMzUNbdl9tJI4714kzltbjS7NsUoU60Xts2j/GCHCju+4ha9MzRF5nNL86oNBa0+HDvjNtsviQS8wsOtFAmULnhNxQeSxhcZmVoyX5O5CosRfLO3DwHDu+ld0glQG4oJn5kwxzg9RdHqt+GrWtsif6yE85vq3eEM5ZVo/PT6uWqFEz5skw5mPYB/rBNz4PlXWqRQ0Ww60HFFosScIdU8SpaiZgDAjH0aVaayilEAwGEQgEdnrxc37P84Y8KLRyz5dQaN1dYe3CAWQ1e8SkfMBsO0jtY/gFh0Qx8b5kfl7PJuiCqy3TcP2nYROhlrG+IN2Bz02rxqZu/4j5ByNzMxQKbTc/OSf5WVTzMvEQTZ0WM+KYCcbZp8n/sXR8QKE1o7YX+8+y466VLabUQCzoxtm1XAAyMjJw6aWX4tBDD+17HXbYYbj++uuxdOlSuN1uWSCGbHrIZdVcKpgK7W2C0kqc76wK8IXp1XispBWtPkOcOiSGCfkltS03dO2HFiXP2vslyZx11OjXumF5k5iFM5s88vcwW58+BCiQ/H4/nE4n0tPTcdNNN8nc/PrXv46nnnoKFRUV8Hq9w8/LvjuaN3GHAHM7SbDNiONNv46peQMKrTc2dYFccU+tbTd1tGKCN74u9vl8+Pe//40DDjgAn//857HXXnth7733llfk/WmnnYaamhrZ3Q7a+mAvVNoREgatfS0IKCWVAE5bWodD59ZgVbtPdtrRLlqD/o75Ig4R0EDvVuji260FqIYh8D4RUjflNWOvGTakNboRDfUbtStqUV1dXXj//fdx0EEHYd9998UXv/hFmZP77LOPvP/Sl76E++67b+g5GYdImSb1Q0Dqan0iJW/o24rlGFBovb6xU4TW02vbTXZ7LOjG2bVtbW345S9/if333x9///vf0dvbCwoyj8eDV199FdzZ8ruHH35YPhu4+cy5qLSEFpNNdQh2VwCsbk2TMmsqMWXCCKyB0UuKT+lUb5gj/glWrUbnGhFSrJNGX/j7VT1R5eVRYDU2NuLBBx8UIUXt/4YbbhCNn3OzubkZf/vb33DBBRdg7dq1RtNK5MkjaRMzrDSZdQ/E1JMBhdbPS9vx1Tl2vLTeKZVJY/oFc3HcIFBVVYW7774b1KYWLFggPi02juYZml+WLVsmi8fll18Oh8MxcLsZRdazSYRWqPAGeINB4akkG8JlmQ0oavcZlu+BkUueTxl447ZbvITpR0NX/w2hQA8eKW7pE1pMOB5q48I519nZicceewz77bcfLrnkEsybN082SzRjR3xcfE/TIX2ww/pakwfh5OsJhRapnHLOgS65I6b+DSi0aBY8eK4df9jYaZzpMcEbXxcXFRXh3HPPxbXXXos1a9ZsZ27holBZWSnmGfq87Hb7AItEOPTZWSQ+jUDR7ajo9ODGvCYhS/3rli64gybaNL5Gfbxao6Gbl0ItvwCq8NsItRfgxyUW0/tblUOnOlD4cL5NmzYNe+65J8444wzk5eVJAAa/6y+cIn/3/2y8emTuO44IkFmlNRsq91zowu/E9ENDCq3XjNCKCdx4upgPPZ3chxxyCB544AE0NTWJhsXPaaahiZCmGPq7fvSjH0lAxs7tt4SWaluOYNoxaC+8F29u6hBTMmm/1neZRPSdMUviT7yN0BtfEDNhcOMLeKlkIw6cVY3frO+Qze5gmha1LJoFuTmilsV5ZzSpJJ4n7BqFVltEaF0XU2cHFFr3F7Xia3Nr8FZll6HgiQne+LiYgikShEHn9q9//evtTIPr16/H73//e5xwwgliOly+fPl2Wti2XlBoheBqyEfFJxdj6YInMGVxjdD3/NfWY0zJ24BKjXcMge/Ihy68DsGsM/Dysk9w8j/T8VJxDfwhakwDw8BN0vTp0/HlL38ZZ555Zt8GauCzzadJgQCFVkehlSrB5PQYjgGF1m35zcLY/IGtxwitGMCNl0u5s21vb8dzzz2HPfbYAxdeeKEEWzDggq+pU6fi8MMPl/Bi+hUG2vXyHtTGfve7V3Hv92/C1IuOxiVXno0vfv8ZPLSgGPWuAELMJDZH6iBA/2agG42r38Sf/u9YXDD1AnztvEtx9o2349mf/wL1DseAmx/6qR566CGJDPzVr34lGypj/kvyacO50l1mmZNzzo6ps0ZoxQRfYlzMnS3D2O+44w7stttu2HXXXeV/vo+8DjzwQHz66afi9N5xAeHfFGR/+MMf8NWvfhW77LILPvOZz2CXXXfF5/f9Eu588FHY7HaEFKMGzb9UQYD5eb2uXrzy65/jqwfth9123VXmBecGw9a5Ieru7t7OR8UnhkE/jAjkBmrJkiUi2Hacc4nxZJlWRo2ACK1yI7SiBizFT+TOtqysDGeddRYuuugiEU75+fngiw7wjz/+WHxd/J5+L2pV/Q8uKAw5pinnc5/7XN/C9JlddsEuu+yKo489Bh989F/0+lzwhLzmlSIYuP1uZOZk4YJvXCACK7KZodD67Gc/i6OOOgpz5szZTmhxLtGfetJJJ0mu4JYtW3aab/3nnnmfJAgYoZUkAzlB3WDIMP1U9CHce++9wjwQ+WkKKJfLhbffflvC3W+77TaJ4op8z/95DgUbmTOomXFR6v/aY889MOX+C3BDxgO4OfcR80oRDL6b+SCu+s2NOPiIQ7abD5wb1OaZ8/fiiy9uJ5QotBiletxxx4nQogAzWlb/py1J3xuhlaQDO07dYqLmO++8g6997Wt46aWXxIcQ+SkuGNTEVq1aJeaa008/fSehxXPmzp2LI488ckChtd/++2HK4xfiwkU345K0280rRTC4ePGtuODFq/CVI74yoNDiJokm5f6aO+dSfX09TjzxRBFaFGD9v4/MS/N/kiEw3kLrjoJmqaf172oTiJEMU4dBGI8++qiYZD755JO+yEH2jYsINbGFCxeK0KKvgUKs/8Fz6BM7//zzZaGJmIH4PzWv004/DbPnz0GXpwc9AZd5pQgG3d4e5BWuwOVXXC7mwP7zYvfdd5f5lpOTs5MmRf9oxKf13nvvDehH7T//zPskQIDRg12llk8r99yYOjRgIAaJT5lcTDonw9QdE75xcXFDQ4PkxHChKCws3C6ii7tcm82Gm2++WZznJChl4MaOBwUZAzWmTJkCLkhcoPg/qXdeeOEFMTEyEIPOefNKDQxCWiEYCoppOeKj4rygaZBa+SuvvDKgQOL8+sUvfiHzjWkWGzdu3GmjxPnH87hhMkcSIDDeeVqGESMJJkm4C3zoaYI5+OCDJZCCmhbpmhhwkZaWJtFbjCpkkieFGpkyBjLX8DNqZAzcuPHbl2LqOXvj5quOxbvvviMRYsmDmOnJSBFgKsTsOXNwxrdvwefPuBQnX/YtfPDhh4Mys3MulZeXy3wjYfPFF18stGKcj5F5yYoDxcXFkuRuBNdIRyQOz99OaI0jI8bvNhhNKw6HP+om8WHnApGVlSVaESO6Iqzu/J/M7gw7JgvGjTfeKAsGNarBFgl+rlUIwbZV8C4+Cv6Vt0KFBj8/6oaaExMaAc6LoFJ4vKgZX5q2BX/b1AF/iNrmwFqSnB8MyqbpmmuukXnYv+oAqZ349zPPPIPW1tYBN1EJDVgqNp7cgy3pYRqnG2JCYEDz4IvlTnxljh2/LOswLAcxwTv5F1NoMVz96aefluRhmv/6v7gwvP7662IiHEpgbevJzizv274z71IVAdbTGgnLOwUXfVsbNmyQ4KD+85Pvn332WdAfxpwunmuOBEeAQqtxrrC8q5Lvx9SZAYXWn8P1tH5qSpPEBG68XEzfAE17pHLq/+Jn0Qmq/j3R0L7mcD2tbwPBnnD12v7nmPephgCF1vdXtmCfGTbMrnMJ03+0oiYiwCJzlMKMmy1zJBEC25UmGYd6WqRvOnC2HeQg9HI2msMg0B+BfkUg4WsxQqs/Nin6nsvEd7crAokhS5OkKEyp220Wgaz5F1T2mdAVz8aEw4Ca1szaXhww2y47Jw+JL2P6CXNx0iEQckNlnwGVfyW0ayvTj5Oui6ZDI0OAQov11PaYXo21Tqty9cjuYM5OagSUH7rqL1a1602/jqmrAwqtFa0e7DfLhqk5jXAboRUTwEl5MYVW7vlQ+d8EussBbYRWUo7zCDpFi8wF6Q58flo1NnabEjUjgC41TlU+6M0vQ2VNgba9HVOfBxRaFV1+EVqXZDrgcAeNphUTxEl4ccgDVfgdqBWXQrfnS7mSJOyl6VKUCNAS0+QN4uxl9SK0ugOmEGiU0KXOaRRaZU9AZZ4M7ZgZU78HFFoOTxBfmmXDhekOVPUGjNCKCeIkvJhCa80PoZZ/A7pxHsC6SuZIWQRYkabM6ceUJXU4Yn4NXEGjeafsZBis4yEv9LoHoTJPgm5eNNhZUX0+oNBq9oZw8uI62TmVtPuM0IoKyhQ6KeSFKnvSyrmo/S+gAinUedPVHRGgPyu3xYOTFtfhpEV1cAWNF3xHjFL7bw0EXdDFt0NlnCB0TrHgMaDQavOFcFV2gwiuJQ1uI7RiQTgZrxX79CuSc6FtbwHKn4y9NH2KEoGg0phb78KxC2vxzawG8YNHeak5LSUQ0NDuWqhVN0BlnQp4G2Pq9YBCy+lXuHtlM45eUIsP7T1GaMUEcRJezEigmvehsk+D3vwKoHxJ2EnTpWgRCCiN96t7cOSCWtxT2AJGHJvDILANAQ3duRaqYCrUissBX+u2r0bxbkCh1RNQeHpdOw6Za8cfN3UaoTUKYJP6EuZcNC+xnKrlPwaUN6m7azo3NAIk1Sbl26HzavBcabvJ7RwarhT8VkO3ZECtuAyq+DbA3xETBgMKLe6U3tjUJcEYz65rN0IrJoiT8GJmt7PMQMYJUKvvAfztSdhJ06VoEWC4+xOr23DQbDveruwy1G/RApcy52loxzRJk9HlTwKBrph6PqDQoro/u65XEgXvLWwxQismiJPwYkYLuu0Wj1jRLdA9W5Kwk6ZL0SLAEPfb85tlk7vI4TLljKIFLmXO09C2v1uJxZWvASFXTD0fUGgxhLW43Yvdp1Xju3lNMHkXMWGcfBfrEOB1QK+8Fqrgaui2vOTro+lR1AjYegP4VnYDDphlx/pOP7jpNYdBYBsCGnrTS1AZx0PXfRSzD3xAocUf29Ttx0Fz7LgyuwGVPQGYebhtCFL+HRkw/K3QpQ9DLb8QumFWykOSygCsbPPi/DQHTllcB7srKGS5qYyH6Xt/BLQIKV36iJBs69bMmPM6BxVa3D2ds6we56XVI6fZYyZi/3FI9fcUWoEu6C2vWCq//Z1URySl+z/f4cKpi+tw/fJGNHqCMMGDKT0dtu881wpPHVTJnVDpRwO9m2Im2B5UaDV4gvheQbPkan1a02NU/u2HIsX/0kDIA137AVT6UaL6G07v1J0Sb1V24bB5NXi0pBXtvpCxyqTuVNi556xYzHB35mituEx84TufNLJPBhVanHw/L22XMNY/bOw0EUEjwzX5z+ZkbM206mqVPQ4tEUHGl5H8A799DznivyjtkDpaf97UKRROZhZsj1FK/8VI46bFQq6tV98NeBtihmNQoUX+sH9X9whxLsNZew2fWMxgJ90Nusuhcs6CWn03dG+lYXtPugEeukMUTu6gxr2rWvC5adWYX+8Si4wRWkPjllLfkojA/p5F+bbpxTFJjxlUaDFhMKvZg6/OseOO/GbQx2UOg8B2CLi2Qq+6EbrwOqBtecwO1u3ubf6IewQYnLWl24/rchul/h4jjs1hENgOgZALetNvLCKC2g+AYO92X4/mj0GFVlBrrOnw4dxl9VLcraDNTMjRAJzU13gboNc/BZV3EbRjhiHOTerB3rlzXCOymz34RroD56c7sKHbcFDujFJqf6I99VClj1p1tFqzx4SndFChxQggliVh0uDxi2oxqy62hLDUHrok7X2gE7r6r0KCqbf+GQi5k7SjplsDIUBrDLlJuT58f2UzalymRM1AOKX0Z52roYtugSr4FtBVOibWmEGFFlV/sr0/X9aBL8604S+buwwzRkrPvgE6r7zQTQussPf1Px0TJ+sAv2I+ilME6M96eb0TX55txysVTnT4Q3HaUtOsyUJANy+GyrtEamnBbRuTgrGDCi06U5nZ/u+qbmHGeHptu2HGmKyRj9ffJZ2TsxCq4Cqo4jusnVS8ttW0a8wRqHcHcX9RC74yx44Ztb2GKHfMEU78G0oQRvqx0FteDRPlxl4gdFChRbgouJY0uiUH49YVzcKSYRIHE38ijVkPSOfUWwm99n7ovIuB1owxu7W5UfwjUNzuE8acM5fWI6/FA9bVModBwEJAWwQEpG9adpgQ5loVzmOfI0MKLf746g4fLs9qwPlp9eJ0NRPTTMptCJDOqQ1606+h0o6Ervs45mz3bfc27+IdgQUOF45bWAuzoY33kZqE9smGdotsaFXOOdBtOWPWiGGFFp2rDxS1Sm2tj+09hsF5zKBPhhtpsVHrug+h0g63CkJKrZzYd1PJgE4y94Ej/M+tdB1U4Wfr2sX/rc2wJ/OQj6xvdB20L4cuuNpyHXSvH9n1Q5w9rNBikvHrGzul7ACDMlp9xtk6BJ6p+VVLOjSJc9f+COjdMibO1tQEMjF6TStgizeEn65twx7TqvHu1m6hbjIyKzHGb0JaqXzQjv9ZkcUbngO8jWP2s8MKLQZjzKl3CQfhDcubsNHkYowZ+ElzIzJjlNwl3GJakoxNInrSjO0AHQlpjVKnD9fmNuLkRXVY2mhSHQaAKbU/8rVAb34ZKvMU6Jr3x7S6+bBCi4EXTDK+NqcRRy+oQW6Lx4S+p/Z03Ln3vjbojS9YWe/0a5l8rZ0xSqJPmJ+1uMGNYxbW4sa8JqmhlUTdM10ZCwR6NlnM7vnfgm7JGJP8rEizhhVaVPmZf/FYSavwi31g6xHyXGMKiEBo/gf5xcj4nnM2dMWzY2oKMOjGHwIsCsu8zQNm2/HsunZhdo+/VpoWTR4CWgrDquwzodfcC/RuHlNe0mGFFjtOG/Ybmzpx4Gw7SJ7b5DXlByZvQsThL4vTNQ+q8DtQBVOBno1x2EjTpLFCgIUeyYBxzIJa/KfaBGeNFa7JcR+WLXJbm9i0cNmiYM+YRhVHJbQIJu3WzMe4IM2BDV1+UxQyOWbY2PRCK2hvE9S6h6CYSMh8LQoycyQlAmucPhy3qBaXZjaAnKQmdzMph3l0nWLRR28jVPlPoLLPgK77aHT3GeKqqIUWQ99vXtGEg2bbscjhNtnvQ4Cael+xpHYQuvIPUBknQle+BgS6x9QkkHqYxl+P6RLwhjQ+renFXjOqcW9hCzp8yhR9jL+hmrwWcbPaswFqxaVQhTdAO4vGvC1RCy13SOPFcicOmVsjduxOf+x0HGPeG3PDSUVANy2EyrsUquhWwOswoe+TOhpj/+N0E7A4LF0E5Bv8/QanCcoae5gT+44hD9AwCyrzJOjyJ8akftaOgEQttMiEMd/hwimL68RM2OgJmgm7I5op/rd211gRQ1mnAh2FplRJks0HliKp7g3gtCV1OGtZPdKbPEnWQ9OdmBEIOKHLn4KwYNjfGZNSJDu2KWqhxV0WBdUVWQ3YY3o1lrdYtmwTRbgjpCn8N1nfN/4KKusU6MrXAe66zJE0CPi4ca13Y7+ZNgl1p9ZlDoPANgS0VHpg1CADsrSzcFysLVELLQonOlyfXN0m7BjPrGuX0HcKM3MYBAQBHYRuXgSVd6FVPyfYPaZRQwblyUXAFdT40aoWfG1ujZgGma9lDoOAhQAp3YLQjfOhGDW45j4gyBqMYz9HohZabBh/fm69S5IKaSZ0+pWJHDJzdhsCjCL0tUKt+i5U+tHQzlXhndbYT9xtP2reTQQClE9MdfnqHDtOXVJnogYnAvRE+g1GDSov1LoHrfp61W+NWyDWiIUWuQdpItx3pg3zHW5TjiCRJtZEtFWHoDe+CJV5IvSG5wHlG7fJOxHdMb9hbVZJ5/aRvQd7Tq8WdhxqXWYrYmZHHwJkdfc4RGCp/CuhO9eMi5bF3xux0KJJ4LcVTkk0Zgg8/zaTt2/ozBtqW215ULnnQuWeb1Uz5oQ2R8IiQC2LxNnkGjxojh1/3tRpLCwJO5rj1HAdAGz/gMo8Aar00TCV2/hIhhEJLXaXE3id04dD59WIb6uqJ2DyNMZpHiTmba3ib6r4NqiM46DrPzGJxok5kH2tjvCP7j/bJtHD5Z0+88z3oWPeCALBXuiCqRare+OccX3mRyy0KDuZYPid5U3Yc0a1lC0x2paZuNsQYKJxANr+rggtVXz7uO66tv2ueTdeCNA0+MzaNuwz04Z7V7XAEzLWlfHCOvHuGw7AaF8BlX4MVP4VFvcofVzjdIxYaLEdQQ18ZOvB3jNsuCjDgSZP0Oy8xmmAEvK2nLDM2co+HSrrNGhn8f+3991hklZV+n/ss/v8Hl13VVxXdA0oOUgQBpAgoAgSZREBQUERMa6AiBFBFlZdXEFQWMCwrLjA5MSkzrmne7pnelKn6Qpd3V3VXVXdFbvid9/f855b39AMw9B0qHjreeqpmp76vu/ec8O555z3vGdRoK8lKZsSazQPqVzfBF79wzIHNozGZf0vjuOnxIRjmqvjVqydtet7GnzVe9+iWlkU+ZyUFl2EzNk6dr1bKhq/6IoapWUm8AwJ0NpKQe28E1bVsQLMEECGiX7OkFHxf6ViopX1v46IxLCXbPaATDhc/+ZlJCASYAybtE2N58OqOgYqtGPRD6hzUlqcs0w0/Pfdk2JtXdfkExShmctmIu+XAFGEU9tkIlstl0DFBhcNTbT/mebLgkqA6zmStgQtSCvrsb6QKLEFfYi5WWlLgOt832O6ll7XrUA2tuho4TkrLZ62RuIZvHO5Q6oat/oThvm9tKffwraeLsJsHIxpWbUnQzmfWvTJvLAdMHfjGmexx4+sdeP9q13iXTGM7mZe7JeAnZfZdpV2De6v7rC45suclJbdaFpbN7eOCwz2RzsChvndFoz51FaVZMivgrXlw6K8VCpoFFeJzA1uO3QNfrV9QnIyf7AjaBhwSmTs8tZMAq5Gl8GqP1MDMIS2bXEVFvs2L6XFSd0wPi3+bgIydkwm8yYv86BSkIACkn6Z0FbjuVCjKwyJbikMWw5s1RFICDEuuQZ3TqUklrX4W1KJCMg0E0hNQnXfJkQCcP0hb2t7XkqLroLxRBbXN/ukZMmv9k6ZZGMzmV8tAVYxlaTDE6B6vgMkJ179/+ZfRSmBaMbCfT1BHL7KiVvbxgWAUZQNNY0qkAQUpBQR62Y1XwQVdy46AMPu6LyUFk9ddBEudUeF+fnKhjEMRNImW96WrvnUJJqRXlgtF0thOE508yp+CXQGk7iwelTIcVm1nOvcvIwEtAQUkAlD7b5w85+TAAAgAElEQVRXcrMIxEAmmjeg1byUFjvAqTwYSePSujEcudaNpwfDiDORy7yMBCgBAjLSU1CDj2qGjL0/BUxsq2jnBlcuk4cf2TslVhZj1p54xhxEi3bECtAwxqr9tbBaL4O4/UPdeSXGnrfSosgIi6WyOnylE59r8mJvKFUASZpHFq0EiDKabIfVeB4E/j5Rs+gJiEUriyJvGF3+jF9dUT+Gw5Y7xYtiGG+KfNDy3bzkBFTfg5qyqe8hIOXPawsWRGmxomnPVAqX14+JO+FPQ2FxJxh7K69jWdwPk4n+MKzqE6F67wcS3uJub4W2jgfQ3/aF8IHVLlzT6EVfOGVSwit0Lhy82wrKXy/18kjZpAINi1Kd+ODP1n9dEKVF5cRSBY/3hyS29YUWn4ltHUrqlfh/ZMjwN8Bq/YxYXMpflzcfeCWKey595jrunkxKMvEH17jAwycBGeZlJKAloMS1r/p/IWkstLaQmsh7GsuCKC12iBOewdtL6sYkEfF5ZwRxM+HNbLclwNhWKgjV95BORKRbITme9wlvN8d8vloCSkFi0U8NhvH25Q5BBPeGUyaW9WoxVfa/GMsKtuqDZ9MFUJJMzLJD+fWpLZjS4mjyVPZoX0jKllzV4EV/JJ3n7lT2nCr+3iuoiWqwSBzjWyrYnLfcjuKXTWFbaMeyLqkdxT+vdOKZwbAkF+d3OyqsDMzTDyUB5lz6oHofgFV9PFTvz/Mey7Jbt6BKixOfIIyrG8akwukLrqgpY2BL2nxqCWTCsHof1JWNd/9AW1tGNgWXQDht4Yn+kLBf3NDsE0SwUVgFH5YiaQDLj2SByTZYdafBartc4lpQmYK0b0GVFid5VikJ5L5vlQsX1ozK5DcI+IKMbXE+VFwMLbDIV1Z9HBBoySEJzRZZiAHTaxbYNZXCqRs9OGadG885IkISUIj2mGcWoQTo2ieQas8PYVUdJdYWMotPjPt6klhQpWU/hAnGRB69Y5lD8j3iNMHMy0hAJKCgCMpgMLf6BKjtd4jbQU5yRkJ5lwBzhokYfGBnEG9dOiRcor5E1pQfyftIFPEDrRTgr4NV81FY7VdJXCvfcayZ0lkUpcW8jr84IzhqnRtHr3OLy5B6y6iumaKv5O8KCO2A2nqtVlz7OQnNDMn3rMhYCh3BJD681o3jXx7GiuEYCMowLyMBkYBYWeNQ226Woq5q8JFcJfLCyWdRlBbnfDBl4cYWH9621IHvdE4gljHF4wo3zEX4ZFY7dT6tqxu3XgZMj+QdhVSEUsl7kxjLuqnFJ4nE3+z0YzJlIO55H4SifSAtjTSU569C12Rt/RxUdKDgiN9FUVocA7odqrxxHL9+WJgydJluc4Qr2vmZ74YxsDvtgdV5s/aTDzwCU904f4PAlcgqDS+5o1IT77SNHrSbmnj5G4BSeBILPEb7oIj2rT0Vyv0/RRF/XjSlxUVB6+qnPUG8bZkDF9WMYnQ6a1yEpTBZ89VG0jt5N8iCsOqXaAg8lZl5LboEeKgkZ+hZWzx4x3KHVCGnW9+8jAT2S4DekF3fg7XlKKjtXwMSvqLwhiya0mLHGccaiqZxxia9MB7aPYlkVhnFtX9WVPoXBaQjUHt/otmiWa7bkOku+qSgaqKCuqvLLwfKi2vH4IplDPhi0SVfKg9Qkj+pfBv1gbLudOEO1RD3wh9sFlVpcYgY6F05HJXY1kc3DKPON20WR6nM3Xy0k4HeuEPYoq2ak6Fcz+YSjgu/OPLR/UI8g1yhm8bi+MhatyitWt80+Dcj8UKMRhE+U9akC1bH57WVJeCLRNE0dNGVlg2p/UbnhCyQ65p98CcNpLZoZkDBG8JTXQpqdBWsqmOEIkZNbi0KN0TBRbMIDaBicsczQm79j8scuLs7IPRNxjO4CMIuyVsSfJGB6vt3QfZa7Z/N0a0Vj9t+0ZUWFwndhI5oGkevGxb26Mf6dIXjkhxT0+iFlwBPdpmIVDa2qo6G1fMdqHSo4Cilhe9oYe9IKDstKlYkfvdKJ07d4IF32tTKKuyoFNnTqbB8m2A1XaDr3wVbiwJ8MVNKi660+DAqrkRW4f9cUQn6nr1lBA3j08YdMXMkKvp7jiYmOgDVcDas+jOhXH8CrOJxSZTD8DCORRQvmS+YisLvRBAat2A5jO7C9EHFHLC23QKr6lixtoT5oshmSF6UFsVJa8ubyOLrHRPCb3Zb+zhGTEXUhZlp5XKXbAzK83wu8/4anXkvaEKzrc5niCk9vslU8/lm5mQ5cGeXH4GkQfPOR65ldS29HVx/g7+W4o7MyUJsKGdlFVdP86a0uGiouDoCCSzZPALW63m0bwpTJpmxuGZEIVvDhZMY1TDbqqOhdt8LJEaMm3CeY0K3IJOIid591wonPlkzKtWJCZIyLyMBkUB2Gsr3slQWt4gWHN+UK+5YfHMkb0rLnhqhtIVn94WFNubMzR5sHIsbGLwtnIr/zAWBg+2w2q7QbkLns0B6ygAz5jE3mC+5YjiK0zd5BDG41K2rLxidNQ+hls2lOdd8eCdU162aqmngV7nqC8WnsCj2vCstLhS6Be/u9oubkFRP/VJsrjgFVDZzs5Q6kglDDT8Pq+HjUtZbTdSYultzHD+ut65gUtCC713llGR/Jvmbl5GASIDeDTK49z0swAur+3aoSJ8uRVKkIsq70qJqst2El9WP4T0rnfhZTxDjCeNfL9I5kv9mMY5FN2Hvz3V8a/vtgHCeFaZ+T/4FsDBP5Dobmc7ge90BoWpinSyWICGC0LyMBCTSSdSu5/9gNZ4D1XIJ1PjmonUL2iOWd6VlPzieUcIoTSTTB1a78LwzKghDs5xsCVX6J5nge6C2fUkCw7pSatC4CWc5LbiOGMf6/UBY4scf2+TB+tG41Lub5S3Mz8paArYrvg1W86dh1Z8F5fxvID1Z9L0umNKi24LxrV/smcT7V7tAws6tgYQwaBS91EwD8yOBbAJqfIu4CIWwc/gvQDZhgBlvIH0qLMLbq33TOG79sMSxHu8PGdDTG8itov57P2H1F2FVnygFHpEYK2q3oD0+BVNadgMY37q1bRyHrXDiguoRTKYMW4YtG/OpAKKaHE/Cqj0NVsO5UMG2okt2LLZxoltwNJ7Fx7eMSMmRb3X6MWEKOxbbMBWwPWShScLadY9UD5eSI5E9JePFKLjSon+d+SPnVI0IzdOX2ycwnVWGn7CAU7q4Hq2A1CSsXffCqj5eMvVVwps7ERpn8oFjRQ8GE/k/UzcmQKdLasfgzJHhGmkdKK1K/LdWWMr1R02b1ngelL8hF8cqDXkUXGlRTDwZbvHG8S+rXZKp/8jeKSQto7hKYwrloZWs65Mch9V+NawtH4HqugVIh3NuQrMV2yNgK6z7dwbxlpeGxC3YEUgK64X9G/NZyRJgHCsN5a8Xxgur5iQo51Ml57koCqVl++CfGQyLO4PQXOaSxE0Zk0peYTP6rnNJVKhHXIQk1lW99wtfIWAq7VJQXEP0UPxxKCyu9veucuEvzoihaZoxiyr+q5WGCu+E1fQJzSu49z5xv5faGioKpcXJxFPidMbCvdsD+KcVTpy8YVisL9bf4v+ZV6VLIFfjZ3wzrPozYNV9DHRxgMS6RcaNVoiRosJa44nh2PVuWT8P754SN6FZO4UYjWJ7Zi6BONIHq+MLOo7VdQuU1K4rvZy9olFaHGYuMMJ0v9o+gbcvdwjdDEuAm4qqxbYICtWenOJy/QGkmhFgxshyjSisYMWVVUrq1J29xZMDXkwgmrYqWCKFmp9F+lwmEMddUD3f1m7Bjuuh4u6SQAoeTKJFpbRoUHEBsgz4dU1evHuFE9c3+9AdTErcyxhcBxvCCvsbF2A6BDXwn0I5Y7VdKbB4ZOMVJgjdXR7oyOd5ZYNXEoi/1DoOjyGirsi58NpOc8ekC2tYJ+oTgdt2NdRkR8nFsWb2raiUlt0weyFeXj+Gdyxz4PatE4IwNK4OW0KV/qmgEqOw9vw4x0h9LVSgsWRPjvMZze2TSdzQ4sO7VjhwVcOYEOGadTIfiZbTtUTe+qH2PQrmOVqtl2oiXOY6lvCrKJUWFx199EQUXlA9KqjCu7oCGIqmxYVoLK4SnnEL1XQGlaP9sHZ9T6DwJPvEZGdJQXfnIwqmivSF07ijY0KY2y+rG0Pj+LTEseZzX3NtuUhAaU5Bx9OwGs/TqSIjLwEZG3Vbuv0sSqVlizOSsbB8OIYzN4/gn1c6peIqa3KZk6QtoQr/JBSeaKjur2rF1f0VILK37KHwPLS5Yhnc1eXH4aucOLdqRKolMD/LHOgqfE1I93OVwIf/qkmn68+Gcj4DEHhRBq+iVlpUTgRmkJfw5I0esbh+2hOEP2kUVxnMvYXpgpWEmtoGixyF1cdBbf86EHMUZfG6hegwcxp5cPvxjqAc5Fibjge7aMYALxZCvqV/DwVkolCeF2E1nq/L+wz9Dkj6y8Z9XtRKy55AVFxPDoRx1Dq3uEKe6A9JDpexuGwJVfJnjvhzcius9mu04ur6iq4HVEZVj2lBcb6Tr5MKiyClkzYM48VcbSxD3F7Ja8DuO9G1KaiJWp0WUnsKrL6HJDG/nNJCSkJpcbHS9UFl9aE1boHD87thzbAna6V/5qDwwWZdeZWsGZ036RwuUVylLx+uAcZ5qbDeulSzXTw9GJbcRuMSLP3xnX8Pcmsg0KLTQWpOgtV7PxQLqJbJGrBlVBJKi43lwmTy8WN9ISm18A/LHPj9QEhOnlzQZuHaQ1qpnznWDFLUNH8K1pajoDpvBpK+kob3cjTpEpxKWfjRjqDQnB2xxi0HOJN4X6lz/YB+Mw0kG4fyN2li6ZqPwtrzE508XIY7Y8koLQ4TlRMX6qO9tLhceMdyB36+axITJsZ1wCyu1H/mXIWBJljNn8zxFH4lF+MqTbonHsbGprOisN661AEqrN/3h8TzYFyClTrPZ/Y7F8MaWarzFmlh7fkxFJliqMzK8FVSSovyFzdJxsLjfSF8eK1bKh/f1xMUNJWxuMpwhr7pLuUUFy2u1s9oVOH2O4DwbinH8KZvV8ALCGvfF03j+zlqs+PWu/G7nMLiXDevSpYA57ml87BYebjhbF3le+99OXqm8lRYHPGSU1psNNcrLS6eOE94eRjvXunE3V0BWeBmMVfyQrb7nnMVTrbB2nqdUNeobTfrWlxW2v5RUX9yju+cSkli/btWOPHRDcN4wRVFysDai3rc8tc4Ow/rKak6bNWdAav359rCKkOX4Ey5lqTSYgeonMiv9pwjgtM3aTj81zsmsGMyKdWPjetk5jBX4vdcYJpw+K4vw6o5EVbnTVAT1QIJLuYoKEFHrOL9pbZxOZCdXz2KpcMxOaiZQ1klzuWZfc5ZWNNuzXTRcI4oLTX0BFSqfGDtM3t84PeSVVp2R5ifwgX9iepRKXp3Y4tPuNgMya4toUr+zLkKQ9th7fgGrOoTYLVdBTW2pigVF60rztta3zSubvBKesdFNaPYMBYXhWU8gpU8l3N9JxIw5shxCZ6qmS6cz5ZN4vBsRrjklRZPnmTO2DAaxyV1Y1KW4bL6MdT4pk0u12xmQNn/hhZXEiq8G2r3vZqrsPUzUMN/BdKTRcOeQYXEA9jLo3F8unZMFNY1jV5U+6YRM4nDZT9L37iD2nOAyB6onXdJaR6r5VIozwtaYZUZrP1Q8ih5pWV3LpZRaJpI4LONXhAO//EtI1jriRnFZQuo0j9J+RTbB6v3AQ0LbjgbdKlIPS5Z8IWxY/hUHryomBizOmWjRw5eJMFlWR7mIhamZZU+YYqp/1RYKaEsI8cmmV+Erd27LldPrpjauvhtKRulxYVPcMauqRRuYSxghVPgwU8NhCQp08QCFn8yFf0TVEaYMtTQ4zp4XXsK1K7vA6lAQXK5qIyYg8UD1y/3TMl8JcfmNzv96I+kjUuw6CdUHhpIhKDNctFysXZxMzYbbJXcrHKFtR9KsmWjtOxOZiwleS3/ts0vZcffudwBfudJlhBic2q1JVXBn+RmG3lBw4SrjoLaeq0UyYNK5y23hYcozsepVBa3tU9IPPY9K53CeDGeyJp5WsHTU3ddI2DFtT38vC4tUnUMVPdtQHSgYqoZHGwalJ3Ssk+vpLx5tC+E961y4S1Lh3BFvVdKOaSNu+Vg86Cy/sbTq0pD+Rty7BlHwmo8VzjbdDHJxT3a8O5ECO4JpXBe1ajMzyPWuPDMYFj+TuvLvCpcAnRZpwJQe34Ea8uREotVTBoWr0A2l/hTmTIqO6VlDyNPskRirfTEJJeL7BksccJA92TKkjiC2RtsaVXiZy6wHR2A6rxRQ+Lrl0A5n9Zku5LPtfAzhNZVMJXFUncUJ2/wCI/maRs92EyEoDlQVeJEnNFnzjdSMsWAUA8UKxdUHauZ2h1PAdnpsuMRnNH5WX8tW6VFCXAKcJPYPZUSCDHjBWTR+NXeKbhjGdDqMq9KlkAuCZkn2r4HZXOwak6C2nUPVKgHsFjhdeHmSEZBKnA/sCsoxM+cj9c3+zAYSRvXdSVPQ7vvwnARgBpdLlWGrerjNeDCX6djrvz/BZyP9mNL7bOslRYHw1ZczmgGP9wRwHHrh6Uu1+1bJ6TSK8ueGHdMqU3bhWxvLnaQiUAxdtB2pYbFb7sJyrsGSE3kTrdzU168imcjWvfV3ml8sXVcqMfIcHH/zqDUxjKx1oUczxK8F5VRdhoqshdq4FewJGH4DFg7vwsV3iOubKOsXhnXsldadle5eQRTFv48FMEF1aMCi7+wehR/2BeGCXzbUqrkz1w+V6AZavsdmny08Tyofb+Big3NuagkD0Rj0xn8biCEJZs9eOdyJz5ZMyp1sEzhxkqebzP6zgOTb5OuwE2wRcunJR1DJUa1u3DGT83XEuUenOvA8cQbSVuoG5/GV7dOSImTY9a5cU93ANuCSVOfa66CLZvrcvkw0X5NkdN8Eay602Dt+CaUb6OONcwyiZNzjWCglolpfKtzAkeudeOItW58u9OPVn9CYO5zs93KRtgV3hFa+GlBrTJfkInCVu2pUF1fBnwv5xLfCbgwrwMlUDGW1syOExbviGbwm94pqf562AonPlU7hj8NRRDPGJDGTFlV7HfGubzrYHXcCKvqGFjNF0MNPAKV8B6SRcN2B/Jw9ORACJ+oHhE4O60sVt92xTIwvJgVO6tyAQuiVzOCVlXbv6bh7HVLoPofBiKlV40g36NZkUrL3lgCySyqvHFc1+wT2pwj17mFVXtbMCHIQ3MSzvd0LKLnSZwhDhXeBdX/H7oaLMuXb/tizup6LZKL1hURqy0TCXyx1QfC2FmBgMnu9ePTUsjRxE+LaIzz3hSNWFXTI1ADv9DpFgRbbP1XKO9aQA5EGQO2eINxqUilNVMmRBA6Yxn8V+8UiOb6x2UOnLHJI1WRbZAGlZdRYDOlVkHf7XwZ30btwtnyEViMdfU9CBV36hOzIphHIZjMyjw6ZcOwxEw/uNol1pYnbpCqFTRjDtLVGYnCnEd2ikXVsVB7fwZEenO13swucxDhveZPFa+0OE14+iXp7o7JFEhS+ralDkF4/WujF80T2uoyJ+TXzJ0K+QM3HFLpJIHECNTgI1JYUvjfWi+HGnkJicQUqr0xXFY3KhY7uS+/0OKTZHYysXDumO2oQqbLgd3k3KErkHHS3T+AVX8GrKqjYTVfAhVozHFfGuvqQLEd6t8Vr7Rs4djKi4iuP+yLSOD8rUuHJK/rwd2TEoug68dsQLbEKvBTlFcCVnAr0q1XI7X5KKSrTkBrzdfxmbU1ePtLvTh6rQMvOCNCG0bry7wqUQL2QSctDOyKlYWbLtLMFtUnQvX/Mge0MMpqLrPDKK0ZUuMWY8cldodSQlz6gdUu/P1SB87aPILnnRHYrh6zHc0QXMV81ZtRMpOGa9KLlo7H0Pvy+QhtPAZDG5ZgTcN/wj3eh1Q6Lu5CM0cqZmLM6CjniKZggr8OqusWDeSpPRmq+ytQk+1ANjGv3L8ZD6vIr0Zpvc6wk72ACaHL3DFcXj+G96/WQfXPN3uFcofKi5YXlZzZnF5HiGX0Z1rYHG/GP9d4ori6YRSHL+/FNes2YWv9XcjUn4NM1XHItF4Fy/MSENtnNqcyGv837go3gozmC5zqhNr7Uyi6Agneaf8slPvPQNKnf/PGNzO/OIQEjNJ6HeFQEfHNzWo4ruHxTEoma/xhy524Y+uEKC/vdEYU1+vcxvy5DCTAgwkPKZvG4hKretcKp9S8+nTtKJ4enII3koPHd9+uUYZbjoLquEFXSI47AOExLANBmC68jgSUxKbUZKekReyPW7VeCtX/CyDal5sD9q7yOrcxf56VBIzSegMx2dOMiaJt/gR+vCOAc6tGhOj02PVu3N0VwMaxOEanNUKMYQxeY16lLQHbTeyKpbHKE8N3tvlx1Dq3lLu5sGYUD+wMoosJ6VnGOXWwHXEnlOuPUNtu0YUmmSza8x2okWW6nMR+t1Bpy8a0nhKwLasgMNmuk9HbLs+BLD4l7OyKnIGZ8CHz+ows37wEjNJ6EzKjMprOWqgfT+AH2wMCjWfZkxM3DEvNLm5upITihmdepSsBHjxGpjNYNhwVi5psFhznMzaN4L6eIFr8CSkhctAeMp4R6YVyPgPVcX0unnEKrO1fBwPyGiZvmA4OKruS+SOLoUWhSPk18EtY7VfBklSIc2HtvhcY3wikp0yizCKNp1Fab1Kw3NBIcDqZygoBKklPz94yIu6ikzcM47b28f2ADRPzepPCLeDP6QZmjStnLC3MKF9qG8eJLw/LuJ6zZQQP7gqixqcThA9NcMsTeFaXkQhth3I9C7XtZli1J8Nq+Ljwy4lCY27O/lIT5pRTwKGf3aMFOZpDA05UQe29D1bbVbBqPgqr+UL5t6KyshOE+XvzWhQJGKU1D7HSoiJYo3EiIYzdZO4mTP7odW7J93pqMCxuQ4I6+FtuTWZ7mofAF/BSeyw4LlRCjmgav+0P4Yr6MUlzYJL56Zs8eGj3JJomEsJmMaexy8YBsmq4/6wtLzIgkM9w6+egBv9LGDckgC+bnN2qBeyoudU8JMBFS9dvFoqWk3cNVM93NZMFc60azoIUZpyozoEsjAU9D2HP+lKjtGYtqtf+kFsMNz1aVP5kFp3BpDAi0PJisP6Da1w4a7MHP+4JoiOgXUrkPZzT5vfax5u/zFECtqJinJLJ4yRMpoJiesO7VjhwXtUInugPoXsyCVJ9kTWF18ztlYt9ZCJAdFDXSuq6VVtetafqDXDnnVDjVQB/QwSaOaXPTdQLeRWtZSslDP8sDGptvVZbytUnwGq6QHKtVLAVSHp14vn+Q8dCNsLc62ASMErrYFKZ49/oYmJy8lA0jacHwzinagRveWlI0Ia0vuhyYuXkqbQlG+FMC2yOjzSXzUIC9uGCFhUV0EQyKxWtr2v24iNr3WBVa+biXVQziueGIpJIvmhlQwjGSI5D0cW04xu6Mi1P7XVnaMSh56+QkhREHO5XYHPWmLOQjvmJBlVoi0pkztpWkx1QvffDarpQuwBt+q6hJ6AifTmABZODzSvfEjBKawElzq2Fbyojlk4nhU+dL47PN/v2b4yk+KEbkSwbe0MpKV8hMRKzLy3gSLxyK4qViopjsWMyiZ/2BHHCy278/dIhUVT/tEIT2tLiimeUWM08fMzdsnrl2Qf/lot5USlxc6T1xarJdUtgVR2lWRPql0Dtvhcq2KY3R1FgpmrtweU537/a45EESGQ7/L+w2q/RVF1bjtRowI7roMZWA+lwzqqisjLjMV/Jz/V6o7TmKrlZXKcVmEI8q7BrKokf7QhKKRS6Dt++zIHDV7mEYZ5MG+5YRopU8rdUYtw0jR6bhZBn/ITyosKxlRSLfjJW9ey+MK5s8AohMuVO5vXTNnrwwK5J9EfSAsDgQSP/8rY3zJQE8JX7OSi6oQjaqD4OVvUJUO3XQjmeBKL9QgmEbEzn/NB9JS3Of6tniLzEvlLeOYuKXJJUQgmvLhGy6x5Y9Wdpy5cuwIZzoXbdow8OjEvS6i3ADCkxAeeluUZpLbKYuaVQAXEzZTzLl8jiJVdUSlfQ4jp8lVNciO9b5cLNreN4zhHBzqkURuIZsQ4Mfd3sBogypkuPieCMRT0zGMZNreNyMCA45r2rXDh1owdfaR/Hak9sf6zKtqoKt/XzyfZmmpG4FmMl4ppqu0LchkKwyoq2LIvifBqY2gZMu/WmK5vp7GRU8b8S1+yEHADU+GYBUViN58PafASsmpPA7yzCyMMD4m6JaQkS1MSrimrqGKWV5+Hg5krlRXcVqyWzJAqZ5W0gABk3jlvvlhpMv+8PSb0vKjHvdFZcibQiuNFWqjLjFm9bUwRSMKm7Zyol7CSP9k4JYwWTgBmnYj0rFl+8vtmHx/tD6JlKSsXg4gbD2NZXUnK6yCKvdt4tVEA8/dP6suo+BtV1K9S+34KbL8I7hYEeGWOFveoAQGsqFQRig0CwHcrzglZULZ/Wlmzdx2A1fxLWtpuhBn8NEFhBlOB+d2yeNwfzuFlJwCitWYlp4X+UO1+LFcYqt4yp/KY3JMqKeUH/stolFhgtsYtrx/D97gD+NBSW3DDGwgi1L5x1sPDymM0d2d9gKotdoRS2eKfxzL4w7ury48LqUXH9/b+XhgSxeX7VCL7cPo7fDYQE0TmdecXdWjoyy80QnvKtNFR0H9TIUr3pdt4Aq/HcHGv48bDartAxMNcfgYkqILxbwB7apTUbyZbLb+jSiEsJe2GpGF0pyohEteL6I5iCeVWtl8Ha/jWwzL2aqIVKBWawVuTkXi4iKcN+GKVVBIPKZULrgdB5QqwbJ6bFvXV3tx+fbfSKW4sFKt+z0ikW2eeavPhed0Csh5WeGNoDCYmJ0XrjPWxrrJTiYpSB7UZl+9kPuvtIo9TqT2D5cAy/7QuJkqJMTtvkkcTfw3MyubbJi3u3U7FH5PdM/uY9xCotgjGeXxNy7kNaAJkYVGSPAAPUwM/eDdwAAAWtSURBVCNQPd+Gar9acx4yBtZ0IdS2L0Ht+SHU0O+hxlZCoNkxRw5IkAIUkYnZGRv1/FqXv6tnuFFzQBaS0Ep1aaIxh/8iDBWUiWXLpOZEDVHvvFnnVLn+AOVvgGISsEVZmFhV/sZvYZ5klNbCyHHB78JNPJq2sCeUwvrRuCiob3X68anaUWGc/5sX9kmxSvIfEqp9U6tPNm3mF60eiYmFQZJX2xVmnx8P/Fzwhh/ihgc+e+a/qajY3q2BpCiox/pCuGd7QNx9JCpmygBh6X/7wj6BqV9aN4Y7u/xSYZrcj33htLhPec+KeXHTnfYAwRZNEdX3sLgNBabNOA3f9Us0cwMtCzKPO57SCo/uMsZtGOfZD+iYOSKFkuSBbcj9W1liEanIbih/TU5B/Qpq552wOr+g3Xx0nW56v7am2q+G2nUXlON3UL6XJcFbXH8Sn6qYGVKWHTVKq4iHlcvVjt/EM5Zs6iRp3TAaxx/3hfHDHQHQ6iLAgIi4w1Y4JY5zykYP6CJjSZWbWnySPPvr3imhl6ryxrF9MimAhXDako2e9EWE6NtWGhUIEYx88/m0gA715m/4tq/h9ba1xPvy/ow/8XnueAZdk0lhTP+LM4Jf750Sq/GGZh8uqx+TxN6TNgyLm4/9sa1Lpg38pCeIPw+FsTnXh7HpzKvjfEU8lovWNEHDZbTVkPLr0u3BZqjRVULiKoS9YnV8TMO4607XuUdtV8pmr7bfocld6SobeVHnj011Q8Vd2jKjUmNsiApS3nb+GJOgaa3Zb6LyDvW2f8fr+E7r2JHck/dPQJCRzGGL9EEFWoQlX9Ey6v8F1M67YDEpm+jKlkt1oi/BE1RUBFAQpNJ7P5T7f6DGtwBTXRqskom+YllWnEN90WZdQW9slFZBxT/3h1MpMEl2IJJGRyApScu0sv5tm182/+PWD0tM7O9eHAIpid67yinVmKkQCE44v3oEtFZubBmXa5i/9EjvlFRt/qsrinUjMVGOTeMJYTOnsjzUu3E8gY2jcazxxPC8Myr34f2oaMiQfkOLDyzlQWV6xmaP8PoxsZcxO7bvb18cEgqs49cP44p6L+7uDuDJgZC0gUwjg5H0fsTf3KVWQVdSgaRDeuMmjVSgEcrzIlT/f0Btvx2q5WIN7970QR0bqzlZx32aLtBKgYqu43ooWmh7fgDV95BA79Xwc8LqQetF+WvF9ahCO6DCOw/9Zo0pf72+ZmyVjs/R6tv3G61syIZPdnwqJaImmz+l43YES5D6SizHD8GqPxOq4/Maju54Esq3UaMpYwM6jkcFa5RTWU90o7RKdHhphdkxIFo4tGhoyVCREfa9L5rGzqmkKBEqM8Z7iKIjS8cRa9145wqHlFd553JdG4oxMyoQAkBY8JIUVB9a45LfUrm80fuINW65htfxet6H9+N9mcBLVCRzpA5b4RDleX71KG5s8QlbPgETZAphe9luuglJi0WACvs10+Jjv81rthI4MAYU12XeGc+hJRUdgKJrcfh5qAG62r4L1Xk9rKZPaAh41bFaYTAuRAADaafIm0hrjQUO6XqsPxNWw9mzeJ+lf8treD3fvB9z0myLiblpfGbd6VCtl0F13wa192dQzv+G8q4HQj1AbEiSgJGcyCVeJ3OWWynG6GY7juZ3MyVglNZMaZTZd27wtMjomqMCIOKQSm1sWltoJIJdPhwVgMPPdgZxZ1dA2DuubvRKzbAlm0ZwzLphUUJURId607I7c/OIXEegBBXSXd0B8L5UmquGY4KQpGXI57MdbA/bxfbZsbcyG4Ii784r8HpxzdEyI0ScCmF6GGJBjW/S8SPC63sfEMJYUSYk/KWLsekinUtmK6LX+yTDfcslco248iTG9hNtwdEFOLoCKtAExSRqVvilq5Pwc/Ixkg3fwNCLfC7lr3lGaeVP1uZJRgJGAkYCRgLzlMD/BxmAZ5XFnFJfAAAAAElFTkSuQmCC[/img]
Use the circle to estimate the area of the square shown here:
[img]data:image/png;base64,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[/img][br]What is your estimate for the area of the square?
Use the grid to check your answer to the first problem.
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HrqWo0wiBpPgl+RYRXnOniIz0jKkoRhjFxKwpCEYYwkLeQiCcMYOI0iDM4kuPfAzvjlSocgiovTevFAoV1oOuXZp8T5h/EZF2gnrrNzr88IY1qhnosnwuifmsNfSgbE/gntUFH7yqhLEoYxSErCkIRhjCQt5CIJwxg49RIGu1guJ1HzqHp4GqHd43imfFAY/7s8wyo0kWiuo3VsFk7X4ilslpedk/u9EgZnFQEd42LWE2VxivoZgyaETxHpcc9/NCVhSMLwX4oUOUjCUIDhR1ArYXBfmtpG3MRuHJ3B3+qHcWWmVdh1Oie5B581jqBsaFqc1Far1kogDNarYmgGt+X1iRkQ7VMZNcmQMwy1p649ThKGJAztUuMlhSQML+Bo+EsLYXB/mks4od1O3FvQj/8T3oFTE7rxeIldnMIemZkXp7VJKp4WeVYKYdCsyAd1wzgt0YKa4RnDNLQkYWgQPi+3SsKQhOFFPLT/JQlDO2ZqKZYjDPeyU+HAFF6pcuC81B5xwO7WvD5sbhtF1dC0MNfBk9q+jNJXCmFwWapgYAonxneLzXnuaxhxScIwAkVAEoYkDGMkaSEXSRjGwKlGGFQ9pUXXmpEZbGsfw5OlA/hjplWcxqZZca7/86Q079F6dGKlEAZnQPSnwVPfNI9ePzrjE+Eth7okjOUQ8u1/SRiSMHyTFB/vkoThI1DL3OYmjNT0DFiHRoS/CG5if9syihty+nBWcg/OTe0FzXWU0kLs9Jw4y7BMth7/XimEwQpyVhTe7cSpCRZE9zgx4fLf7LkkDI+PXtMfkjAkYWgSmOVuXo2EQTVP+sfgh2FP18Eyb84azLrm0Dc4hMiUDOxs6MNDxXacENeNf43sxANFdoRbnLBNzXmtr6d2qMWvJMLgclun0yWW2N6scRhy8lsShtpT1x4nCUMShnap8ZJitRHG3jMBI+jo6EBra6twqkTiULsOFmFwSalkcArvVtlxTHgjjo/pxNVZNnzZPCIO3lFllhpRWped1NrkjltJhEHCpDkSqgPTzSv3NPy9JGH4i+De9JIwJGEYI0kLuawWwmAHOTo6iqCgIDz11FN47LHH8PLLL6O9vR30ua52mUUY3JTmMkzz2Cy2d4yJGcSatB5clNSJ22OrsKvVIfYmqDLL0bfnOZBarX2LW0mEwRqTDLmhTwOIXIZzuvxrtyQM3+RgubskYUjCWE5GNP2/WgiDToliYmJw33334csvv0ROTg6qqqqE0yL6+1a7jCQMdvqcJdDLXLZ9Cl81j+Cu/H7hve6GHBterRxAdHMfQlKz4RgdV6uOoXErjTCID02oP1hsBzW/2sb988YnCcMYcZGEIQnDGElayGU1EAY7R84kLrzwQuzatQs9PT1wOp2Ynp72uifgL2GwE6TaKN2ccv8hzTaJp8sGxeb1b2K7cXtev/BoRxeoU7OuFeFxz1DhWMjMk2mQpWVxlvF1yyguTrcirNvpl6kQSRhL0dX3WxKGJAx9kuMh1WogjMnJSeTm5uL0009HREQEtm3bho0bN4pZhjfS8JcwaBupcmga9H1N3w//N7wDl6b34sP6YVQtHFJzLXivI6mtBBetHh6zX9G+EgYLKR+axrXZNuEKlkTry5kStcpJwlBDRXucZsIIDQtHfEIi0jMyTP2kpKZh+/adCAkNA8NmlpeWlo6o6Bh8t3Ez4uITzC0rPQPJKanYtSsYgYFBppblxoxt274jAPEJCUhLN/e5JSYlIyh4NwICdyE1Ld309sXGxePLr75BUlKyz22LjYvDu+++hyOP/HfccMONuP/+P+HOO+/CpZdeig8+/BDRMTGq9Y6OjsHb77yLo48+Gps2b1G9x405v4l1fGo6ApIy8XFKCa5J68DvErpxRmwbrgopxhshydgQnYKQxDQkpKbvrf/C8yF2bNvBkEnWNTUtDZs2b0VoWISQT2U7jA4TF7Ztx44AxMTEesUxIiUDd0eV4neRjdienIOE9Eyv93uq67aFvsTT/0bGR0ZFY8vWbaKNaenmvgPJySkI3BWMXUHBSDW5nyRGfG7RMXGqTHOEWmxsXAJqamrR3t5h6qelpRVJSSnIyclFS2urqWW1tbWjoqISAYFBqK2tM7Us4tbc3IKMjCzxgM3GkflXVFYhLi4BdXX1aGtvN7V9jY1NyMjIFCTf2tpmallsW3VNLdgZNDQ2+ty26poafP31NzjqqKPEklRRURGysrLw97//Hddeey3y8vJU611VVY1vv92AY489Dikpqar3tLV3oLG1HXl1LdhaVI/HEipxcWg5zopuxs3ZvXinxoGo9kEUt/Wgsa0DvF9NBogdy+OA6WDIJMuLiIhCfn6BkE+1OhkVRxlkH0KZZBu95dvS3omIegvOim/HW9mNKG3SJ7+xsfEoLCr2Wpa3emj5r6S0DOERkaKN7Fu0pNV6b1NTM5KTU5GZlS20/LSm13p/ZWUVEhOT1agBqoRBE8jDw8OqCYyM5MYjO3EKsstljHkAT/WjGuXAwKAAYnR0zNNthsVTC6ehoVEIlGGZeslocHAQJSWlGB8f97pG7yULn/9aDUtSxCEhIQFnn302LBaLOH/BuIKCAlxxxRVoa2tTba+3JSkuN3GTlv6uM/sn8VLlIGhGnP6wuYlNHxQtY7NCG8oXLSe5JLX4COj1j2bPeaqdGOpRJ5ZLUot4+hPSvCQlCcMfuPemlYThP4buHEZGRhAVHSvOT3g7dOe+n98zMzOoqKjAWWedhfz8fEGkJNXY2FjccccdwsS38n53eClhcD2dew70OcGO7KvmUVyTbcO/RnTizCQL3q4ZEmcIJufUz3W481X7loSxiApVjkm4v4ntQpJ1QpDu4r++hSRh+IbTcndJwpCb3svJiKb/V8MMg8TCDeW//e1vuO222/DFF1/gk08+weWXX46QkBCQhNQuJWHU1NWJE8ixPRPiFPZxcd2CJB4ssiPS4hT/8QAevdz5MqNYWp4kjEVE6FK2aWxWmAqh2XbOOLRekjC0IqZ+vyQMSRjqkqEzdjUQBpvGWZ7NZkNcXJzYu1i/fj3i4+OFNU5P5zCGRscQFJeIo9Zcj0cTq3Fjjg0XpfXiplwbPm8cQXrfJDqcLqE2q1ebxw27JAw3EntNspN8aZWXGlPFg1Oa7WZJwljE05+QJAxJGP7IzwFpVwthuCvO+nK2wQ9JZOmy1jxnIzPzaBybRVj7EP4UV4F//SQavwuvxT0F/fimZRR1+yzE6plLuGuy/7ckjP3x4LJf0eCUMOPOk9+js9qW+SRh7I+n3l+SMCRh6JUd1XSrjTDUGsFN1cm5PcICbJdzVviXuDm3DyfFduBX20rxny+uQ2yzTbhB9WKrUC1rn+MkYewPFWdswzPze73xFdmFGZX97/D+SxKGd3x8/VcShiQMX2XFp/sOBcJgx5Rsm8STZQP4dVQnjorpwt35/fimqgcbgsNw0m9PQ11Dg669CZ9ApC0leXDvAKg4f1vXNIKrsqyIsDgP+N9bhCQMb+j4/p8kDEkYvkuLD3euRsLg6JVr5HRM9HnTCC5J78XpSRahxvlxwzDKHNNiE7t7YAgh4eE45ZRTUF9f7wMa+m+RhKGOXf3IDK7OsuLlSodYlvJ1r0gShjqeWmMlYUjC0CozXu9fLYTBjmbCtUcsbYR0O8W5ieuzbbg8w4rHSgbwXeuocExEC7E8Y8FLqSUlCcOrGHj9U4tpkKUZce/izWoH1qRbhQVfaqH5cknC8AWl5e+RhCEJY3kp0XDHSiYMdi0kib6pOTGbCOkax/2FdvwhpUd8/lo6gMy+SWEY0E0SyqZLwlCioT/sD2HQTW2CdULMAmnhlzNDXyhDEob+56VMKQlDEoZSHvwOrzTCYGfCTWyORMdc88i2T+LFikFxAvuXYR3iFPbW9jHhmGi5waokDL/FQ2TgD2EwA56m53mXKzOtwjw8SWS5SxLGcgj59r8kDEkYvkmKj3etNMKgthPVXjcIM9m9oBlxWoil68/q4Rmh6cRZBx0TLXdJwlgOId/+95cwePJ7c9sYTojvFifpORBY7pKEsRxCvv0vCUMShm+S4uNd3zdhsNune88upwsxPU48UTqAKzKtwjHRoyV27OocF5vYXJaib4rlaWKx4ZIwFrHwJ+QvYXDG2Dg6K0zEf+DjyW9JGP48scW0kjAkYSxKgwGh74MwIqNjMeKchHXCJQ53bW0bwyPFA2Jj9JosG54uH0RUj1OQCGccWkhCCYkkDCUa+sP+EgZLpjLCWzVDuDCtFyWO6X2KCZ5qJQnDEzLa4iVhSMLQJjHL3H0wCYMb072OEWyJiEOedVRoz1yS1gvadaJq7MbWUVANk0tO/lxUcaXBQrvdjtCwMKFWW1tbK85K0NIxO0CjL6lW6x1RziLp2vbUBItYnuLZGW+XJAxv6Pj+nyQMSRi+S4sPdx4swuAGNV2ZftM4iDOCyvAvIW34XaJFbGizI2GHwn2J5TayfWgSaMmW/r4zMjIQEBiIk08+GfSh0dvbK0yKePPS50v+avdIwlBDZTGOz9UxPSf2o54qG1j25LckjEXs/AlJwpCE4Y/8HJDWTMLgjKJ/ak6MLLk3cVqiBadEt+KiqFoEtY+geWwG9uk5YdbDPeanfaj+/n5UVlaipqYGo6OjwhR6YWEhXnrpJbzxxhvIzs4WJs5bW1tx9dVX46STTsINN9yAvr4+0b733nsP5557Li644AJ89fXXOPHEE4Vb1+uvv164eaW1W+bb3d2NZ555RsxAHnjgAeErfGJiQphQf+utt7B79240NzeL2QrrxRkLbVgRM85UlJckDCUa6mHuQVG1ln4y0vomvRoklIShjqHWWEkYkjC0yozX+40mDPqbGJieE4fovm4ZFabE12RYwUN2r5bbsamqG+uCozEwPok++4Dw1U0f3cHBwXA6nYII+JsEcM8994hOmjOCsrIyPPXUU3juueeQlpYmSIQdOH170+z59u3b95k558wiMDBQfLZu24aTTj4ZKSkpggA+//xz4QucfsKZPiAgAK+99pogIhIV43nvXXfdhdtvv13cS4w4O3nxxRfxl7/8BZ999pkoi1ZyS0tLUVJSgvb2dmFNl+5Mx8bMd+pFgsrOyRW+QEhmZl5G7GGwfpxlNI/NgvtUr1c74JiZ87g/JQnDmCcqCUMShjGStJCLEYRBLRgeyOpwziJ/YAof1TlwUXwrTo1swsVJnfikYRjxNa1IysnHzoBAfPbZ54IcePr6z3/+s/DNzW96hqQnvdTUVLBjJzEwjqN5duRWq1V8eM/SEb4aKMttejMPdrbMmz41GCYJMNzQ0IC6ujpBKoxn2ZzdcJby+uuvi2UvYrd27Vpcd911ePbZZ9HR0SF8bTc1NYn0/M2ZDDt3o6/VSBicRTpde/Bi5SAuz7SifGjaozc+SRjGSIwkDEkYxkjSQi56CYOjRS45UYupd9KFXZ1juCu/D0dFd+JXgTU4/fMI3P3Rt6hq7RSd+6efforjjz8ep/3ud3jhxZdA17rca8jNzRU+ubmcZHTHuhxh+AMkR93cWOdshktcbB+XyFJT0/DJJ58KEuQsJTExEVzmIhGRmBgmAfm78b4aCcONd5jFCc461zeNiAOa7njltyQMJRr6w5IwJGHolx6VlHoIgyNFqklm9U/ilcpBnBzXhd9EtuKGzB58UWXFjQ8/gRPOOBs33nYHCgqLROfIzpQb0S2trdgdEoaJiUlBEOw82fFytO9vJ7q0eWYSBstifblcxqU0LkPx5UxPzxAzk9DQUHz00UcizHvy8vJw0003iWU2kognL4FL2+Dp92omDDqtujO/D7fn9Yk9LDWlOEkYnp68tnhJGJIwtEnMMnf7ShhcdhqjhdjhGXzdPCL8HJwT14ajNmbj10+8j/MfewUJFQ2wO6dRWV0jOkguOXFJhpd7uWdoaFizT2+mZwf74Ycf4uGHH8ZDDz0k9hK4Cc69A+atdplNGMoy2YFzQzw9IxMOh0MQCL85oyAZcnmKXgJZd3oN5LJaTzEp7XYAACAASURBVE8PPvjgAxFPn+Va9j5WM2E4XfPY1DqKM5IsKB6cVvX5LQlDKV36w5IwJGHolx6VlN4Ig8cVSBLcm0i0OvFR7SCuSm7DmVFNuCmjG2+V2/BBcAxe/+hTJCSniBG2ShH7RbHjj4qOFcszWmYUXLK68sorxV4Bl4C+++47salNt62eXLR+X4Sh1vFzFkVC6ezsFN8kOYvFgieeeAJr1qwRpMH/uWzFPRDeR6xIDGrXaiYMLmdy4EFtqbXVQ7BOHrj5LQlD7alrj5OEIQlDu9R4SMGRLzspvpy5uXli1OuamxNnIqgz3+2cFeY6/lTYjzMSu/GfYU04Z3MaXg1OQJ11wOOGpYfiRLRewiAxXHjhhWIjnKN2X66VRBhq9eVSFUkjJycHbW1tYjbCF/zpp5/GI488gqSkJPFM+JxI7LzfTSCrmTCIBdWt36gewlnJPagcmjng5LckDDWJ0R4nCUMShnap8ZCCnVB8fLzonO68806EhYXB5hhGvn0CL5b14dioVvyfsDbhMe2LxiFU9AzAOTWNObHf4CHTZaL1EIZ7Sef3v/+9OCPBevtyrXTCYBs4y2L73LMt4rNjxw6hQvzxxx+LsyJsL1V9eRaFy1y8d7UTBg9qptgmcXRMF3Z3jQs/7MpnKglDiYb+sGbCSEpKQWdnlxhJcjRp1scudOrzUV5eIZYmzCqH+VK7pq29XWyedlssprWJZTkcQ+jvt6O4uBT5+YWmluXGjOvy3Dy19PSIDsIdb+T3wMAgdu0KwgknnIif//zn+Kd//mcc+ev/wFmvrsNxQZU4ObQO9ybVIbC0ERXdfWizDcBmH8DgoENgorcuXV3d2BUULNRU2fn5kg+Fvri4WJzYPuuss4Sm1VVXXSWWcbg3wP/V8uGyzo4dO4V2Fk96q91jVBzxZF1iYuLErEFvvjwb0tXVhcbGJiHjVqtNLE9dd/31OOHEE3HjjTeioKAQLC8hIRHV1TVCPvWW50s6Pic+t/T0THR07F1S8yWdt3sGHENotA7i93GteKzQilLr8H7PJy0tHfX1DfvFecvPn/+IdVxcgmgj5dufvJZL29fXj5ycXJSWlXmU2+Xy0PJ/W1s7UlLSVBnnCLXY6JhY5OTmiY6cnblZn5KSUoSGRSAhMQkMm1UO8y0tKxebizt2BpretrLyChQXlyA6Jg5R0TGmtsuNWUZGJsLCwpGbl4+ysnLDy2SehUVFuPfe+/CLX/wCRxxxBI74wQ/wwx//GMdffRseDUzGF8mFiMktRm5RCUoMrAMPm23avEVoT/naNj7vzMws/O1vH+Ptd97Fm2+9JU5982DdG2++KcjVjZ3yOzMrG598+ncce+yx2B0SajiOyrJKSsuQnZMjzpkY/b7lFxRi8+YtePnlV/Dmm28hITERhUXFePXV1/D8Cy9i2/btyMjMMkVW2EY+Jz63sLAIZGZmG4Ij36vckgqszajF2XFtWJdZgYLSRVkPCQ1DYmKyIWUpn5NaOC0tA0HBIcjOZke+WAe1e/2N43NjP8J+2ex+knXNys5BQkKSGjVAlTCSk1PR3W3B8PCIqR+O+vPyClBRUSVGoWaWR4blSCckNBw9Pb2mtosHxziaY4dQUFBkcll7nxHbRtLo7bWCWkXGYDkMi6VHmNvIyc1FSWmp0Dj6l3/5F0EYP/jBD/DjH/8Yd9x1F2rr6g0q80CZ44wwKHg3bH19frRtWGhHbdmyRZwIr6mpVa0vR8U7dwbg+ONPEKRvDI4Hton5chTOmXxsbLxpMukQM14H+M1T6TRncsYZZ+Dqq68R+yB8Lzjb4rtIuTWqvZRByk5GRpaY/RiV78DQCCr7RnBBUideLu5Fc59jX505w25oaNz326gy1fJpbm5BfHyiaKNx75u6nHAGKQaC5RWm95Nsa3t7B1JS030nDDIMhcfsi5oqFRWVaG1tg8ulrtlhVB245stOnCMQHgAz+6JGC4WXHdPBuPjCc/RB1Uv32rbecpne/aEZi0cffRTnnXeeWCOnWY3f/OY3+Ok//AN+8tN/wD//8n/j2w3f7VOF1Vumt3R69jDca/bUNKKc8cOOMSIiQpxr4NKT2rUa9jDU6u1LHDGIjIrCunVfCNVcalbxvWhpaRH7HpQd3uOv/LAuzGNkZFTIJEnJqIvnebiX8XCxXahplzqm92Ut9zD2QeFXgO9JdnaOah6qMwxJGKpYaYpcrYTBDoSHykhAfOmp608TFjRtQfJgPM8E3HLXPThhzTU4792NaKD20xLDeprAWuZmPYRB7SAaAeSmfEFBgdj8pa0oqtnSFpSnAdGhTBjc9OaSG9ffedaFZEqVXKrpnnrqqbj//vvFQUnG+3uZRRisF0kjrNspnGZtahsVBgkZJwnD36e2N70kDKkltawk8QWnJdZvv/1W2GriiWOSHjsWxvNMAzVv2OlQoJIys/H+7ngcH1qPiK5Rv/1ReKugHsLgSJmziPfff190iJwl0RAgrclyaYZtU7sOdcJQGh/kM+fzpIXfdevWiRkknzVJxG2DSy95mEkYfG6WCRfuLejHA0V2oW5LM/eSMNQkWnucJAxJGKpSw86CyxAcbTPMETlHmRxxZmZmejzcRuKorm9AZEEFLkqx4NnyQXRPuFTLMCJSD2Gww2I9eWaBp8fpDIkaScst2R1OhOF+NpxVUgY4KCBZ8BAhTbVzZsklPGJG+dBymU0YtEf2TcsozkvtRUbfJCbmJGFoeT7e7pWEIQljP/ngy8wROM1vc3lpw4YN++wbcYTJTTZvFzti7s/kllfj1YoBXJ1lRbZ90hBHRmrl6iEMtXx8iTscCUOJC2WDhMFzHfQNQt8h7tkll/n47HnPcpfZhMHyaeX4mmwbnq8YFHbKqE1EBYmDcdlsfUJDivs0vuDhT52mp2dQVVWNxqYmzcStp1xJGJIw9pMbjhZJCg8++KBwJESHQBxFcqTpy+UmjNLKahTbJ3B+ag8+bhgWVmh9Sa/1HkkYWhFTv5/PXbkkpX7X3ljKApcjeb6DgwtuXCckJIizLVzOW66TPBiE0Tc1J8yen5PcI3xm5BQUScLw9lB9/E8ShiQMQQYcKXJdnx0BO306GKqurhZ7Er6SBWXOTRg0GDg4NYvHSgdwXbYNbePq+wI+yqnH2yRheIRG0x9aCIMZUybcWlP088HlynPOOQcvvPDCsjJzMAiD2lKJ1gkcG9uNZNskEnIKJWFokgj1myVhHMaEwReXSwl0LMQ1aerhkyTYebhVTtXFxnOsmzB4YnjaNYfAznFhFG5z2xh8WK3wnLGHfyRheABGY7RWwlBmT805ys0333wjFCM46ODSFWce/G/pjONgEAYNEnY7Xbg5tw9/KRlAQGoeurrlkpTyuekJS8I4DAmDI0P3mjM7eLokpW+Fr776SqxJa5lRLBU6N2FQu4adEK2I0lfB/YX9wuw0X2QjL0kYxqDpD2GwBiQBDjLcy5ecob766quIjY0V6taUOfd1MAiDZdFrI82e/y7Rgveis9Dc2e2ugqnfcg9DAa88h6EAQ2fw+zqHwVEfy6alVhqf4+Esvrw8VcyOl52Gv9dSwhiZmcenDcM4N7UXDaOzHj2i6S1XEoZe5PZP5y9h7J8bxNmWu+++G7/97W/FDNZNJCznYBEGPTjWj8zi9CQLbt+ZhrJWSRhLn5PW33KGcRjNMEgMVCGlq0+uN3MJgRdnFHyJjbiWEgZnFIUDU8KF5od1w2LUZ0Q57jwkYbiR8O/baMLgbINLUpxpcqDCGS33yGh2nbMNM056L0WAEj3pmsc9Bf24JLQcGZ3eNfyWptf7W84wFMjJGYYCDJ3Bgz3DoNYTratSn56Wa5988klxopke2oy+lhIG8+90uvB6tUN4ROPmNw9SGXVJwjAGSaMJg7Vyb4zzm6Tx8ssvC1Xcr7/+GrS3RCu5RpoGUUNibs8exPdO4PykLuxsHRamQ4yTPrUSAUkYClwkYSjA0Bk8WITBToDnKXjA6osv1gvtFW5CkkC4MWnUrEIJgxphjM7OC8dJR8V0IaR7XHjdU6bxJywJwx/0FtOaQRiLuUMc+qPvcbqUveeee1BbW3dQCINjE6rY0t/3g0V29Ey4TDsT5G6vJAw3EoAwb+vJ1o7iNr+DnLZK44P6YSQZcBmAB+/oKOj6668XZi/82dD2pTZqhEH/3S1js/h9cg+eKx8Upht8ycuXeyRh+ILS8veYTRisAd9p2hvj6Xr6ccjKykZLS6sYwHAQZcYAhuVyL+Ptyn5ckNyFZNvEAd74lkdH2x2SMBR4yRmGAgydwYMxw+DLR1MO1Hx65ZVXELgraFnTFzqbs18yNcLgDY6ZeXzVPIpzU3tQMDBl2ChPEsZ+8Ov+cTAIw105yib3MD7/fJ1wk/vXv/5V2CTje2HWtaOoHmdH1OHlykE4XfPCSKFZZUnCUCArCUMBhs6gmYRB8x3UgKqsrBRryHv3LTqQl5f/vRIGD1JxlkH7Ph/WD2N4xreT48tBLAljOYR8+//7IAz6qPjuu+9w7bXXIjk5WZzZ8K222u9KyC3GLTHVwoot99SmOe016ZKEoQBWEoYCDJ1BMwiD031qoXA2ccsttyA8PHxf7Yz0h7EvUw8BTzMMvp9js/N4rGQAN+b0oXLIfzPZrIIkDA8PQmP090EYtCDb2toq/KrT0gD312gEkppU1LIycokqu6AIG4ubcFZyD8ItzgN8fmuEy+vtkjAU8EjCUIChM2gkYfBFJ1ns7agbhA2oL7/8Upy1cFdvJRAG60KNlcCOcVyabgVPfhuhLSUJw/2U/fv+PgiDTr2UWlITExP48MMP8fTTTwu7VPxtFGnQ+GBmfTvuyu8Xps87nOZtfkvCUMiiJAwFGDqDRhEG8+FBGm4icnTGl96t866s2kohDC4CtI/PihnGg8V2sSzl78lvSRjKJ60/vBIIgzK8adMmnHnmmbj55ptBtW/Wy4iLs5nqti581TyCk+ItyLZPmWYQUxKG4olJwlCAoTNoBGHwRaqqqhJG3y6++GJkZ2eLl4sjsqWjspVCGIRrwrUHXzSN4MK0XhQNTsPlJ2NIwtAphEuSrQTCoNySNGhWJCoqSihtLKmm7p8kjLaublQMTeOEuG582zIK66QxZLS0UpIwFIhIwlCAoTNoFGHwpbrzzjsRFBQkDuUtJQp39VYSYYiT34NTwigcnStN+KmxYgRhcL2cnvZoKoWaZZ5Ujw93fxhuefL3m3Lq6aQ3/+P7QVMi/M7IyMDbb78tXADztycZX65OJAwaHxyamccjxXaxNEXyMPAM6b4qSMLYB4U8h6GAQndQL2EwHQ/dtbS0iE1BbhDS1Mdy52JWEmEQNLrQXFvtEBpTPPlNPXm9l7+EQXIgjvQiR/L1tgwiCUPvU9o/nTfCUN7JWQ+VN26//Xaxr0HTNtyv03ORMOhAyW32/LzUHmFJmSq2Rl+SMBSIyhmGAgydQT2EwY6NLkXXr18P6q1zs9DTSHhptVYaYXBZKqbHiZMTLIjqcYInwfVe/hIGT7xzhkZrvfQiRw0dPh+1SxKGGira43wlDObMmUZxcbEgdLebWD4frcThJgxq69km54SPlidKB9Dl1EdA3lotCUOBjiQMBRg6g1oJgy8YtaCoQULrn/RdwY5utRIGYWsem8FNuQvmGib1v7T+EAZx5ZkVehf86KOPxHkAzjYkYagTpk5xPyCZFsJYmpgzbBIIZxtaLjdhMM38nj1YW+UQpJFim9CSjU/3SsJQwCQJQwGGzqBWwmAxJAfqrJeUlCzr0WxptVbaDIP1G5je61zpxHgLcuxTmNG5LKWXMLhvYbVa8dRTTyEkJEQcHOMBMkkYnR4Jc6lc6f3tD2Fs3rwZV155JT744AOxPOvrTENJGKw3rQ38MdOKv9XvdR+sU/xUIZCEoYAlOiYWxSUlqK2rM/VTVV2D6OhYpKamg97bzCyvpqYW+fmF2L4jAMUlpaaWxXZUVlUjMTEZcXEJXssqLCxCdHQMvvjiC2FXq7y8ApWVVaiprfWabilW+QWFiIiMQklpmTD6tvR/I3+XV1QstC0e1TWe61lWXYew4lqcFNmEZ3PakFfTqKlN7joXFZdg0+atIDY1tb7JZHVNjTj5/vrrb+Dpp59BQmISAgICQW2zZJ6Sr6pWrUtBYRHWffEFfvObY8VzcdfBjG/WkWcHdu0KAs8rmFGGMk+WF7w7BOkZmR7br7zfnzCfU3FxCSIjo0EZ15JXQkIiHnr4YVx66RpERkaJ98GX9OERkcjIzNpXVk5FLe5MqMMlie1IrWpEZW39vv98yc/bPTk5edi9O1S0Ueu76i1ftf8qKqsQExuPxKRk0/tJls/nFZ+QpGCExeARi8HFEDsezjIoxGZ++LKEhIaLTpVhM8tip5OWnoHNW7aZ3jYSEjueqKgYREREqbaL9+Tm5eGL9V/isssuw00334y0tHQhgHpwoAmG3btDkJ2TK8heTx6+psnLz0dUdAzCwyNRVOz5uRWVlCKtqBy3pbbi0ug6bM0qFWTtaznu+zKzsvHtho2CADiQccd7++az/tvHH+OMM87Al199jV1BweL36aefgU2bNwtZ4Ih0aR7sTD/++BMcc8wxonNd+r+Rv1l+ZmYWtm3fgeyD8L6xvJ0BgWCHTPk0si1L8+JzouFBdqoZGZmayuK7SlIP3r0byckpSEtPR2xcPFKXeT+CgkPEwMBdl4KSMnySU4fTo1uwNqEEGYX65M+dn/I7JSUNAQG7RBtJjMr/jA5zMBgWHineObP7SdadpBsbl7BICIqQKmHIJSkFQjqD3pakOF3n8hPXaGnmgweYuAzlzwGmlbgkRejcGiv0xre9fUzXspSeJamuri4888wzOO+884S57ccee0xsepMIaH47Ly9PaKEtfbxy03spIvp++7MkpSyR7wnPbKxdu1acQ/J2MnzpkhTzqRuh++B+4UKYZzKMWpaSS1KKpyQJQwGGzqAnwuCLxLV1ntYmQVBdlmqenjZhfS1+pRIGTYO4fRX8ucgutFd8bZP7Pj2EQc2bgoICobLJsyz0F0K/5meffTa2bt0qnEypEbQkDDfq/n0bSRh0CHbrrbcK8k9ISPCoPaVGGPT5/ffGYaGtVz40LQ6V+teyvaklYShQlIShAENnUI0wOFqi8UBu6lFrhxuy3NBjvL/XSiUMnr7gZjfNNVyWYUVcr3aNFT2EQTKg1hmJmR/O5tLT0/HHP/4RdXV14vAeO7WllySMpYjo+20UYbB0+nzhDPz1118XZ5I8vS9qhEErAzy8d2qiBRtbjTv5LQlDIReSMBRg6AyqEQY7sN27d+OKK64QriypPqjWaekpcqUShrstufYp3JDTh+crBsUylZalAT2E4S7X/U0CIVnTjhHJQ212wXslYbgR8+/bSMJgTUganDXywwEANd04O1e+P2qEwbT9U3PgeYzrs22oGp6BEVbPJWEo5EMShgIMnUElYVCoOSqisNMMwhtvvAEeUPLUaekpcqUTBl/alyodWJPRi+4Jl6aT30YQhq+YSsLwFSnv9xlNGO7SOCPnnsYjjzyCzMxMYfre/Z8nwuAhUvr8PjXBgt1dTowbcPJbEoYbdemiVYGE/qCbMKqqqsWeBTt0Iwliac1WOmHQNEhcrxNnJ/cguGtc00srCWPp09b3m/JHLTrOtCifZl5mEgbtgXGWvmbNGjEAc7fDE2GIk99Tc/hDSg9erXKAzpX8vSRhKBCUMwwFGDqDfCHr6uoRH5+AjRs3ioNIXDs3izRWOmFwt6B5bBaPlw6IvQxqrKhsIaiiLQlDFRbNkYcCYZCI+G7V1NRg27ZtQmHEDYQnwnDvo71R48ANOTZk9U/6LHvuvJd+S8JQICIJQwGGziCFuqKiEu+//wEuvfRSvPnmm8LhEQXejGulEwbbTJ/fOzrGcHRMF9L7Jn32VSAJwxiJORQIw40E9zSoYsv9DLospg02nkWi8UG1i3tmlcMzwn3rpw3DwraZP2+iJAwFypIwFGDoCJIUuMFdVlaBoKBgvPfee0IjysxlgNVAGNSWosbKKQkWfFA3LNRtfYFXEoYvKC1/z6FEGO7W0rcGZxrPP/88vtu4Cc0tLe6/9vsmOdAA5mOlA8K+VOOof5vfkjAU8ErCUIChMcjNbY58WlpaUVpaLo7ya8xC1+2rgTDYMG5+P10+iGuzbeJQlS+jPEkYukTigESHImHwXUtOThYGO2+66WZhPuaAhi9EcHK/uXUUl6b3YmfHGKa1qOotyVQShgIQSRgKMDQGOUXOz8/HZZddjs8//8KrAGvM2uvtq4UwnK49KHFM44wkC7a2j2HCBx1HSRheH73Pfx6KhMHZPA/CJiUlYdPmLWhubvaKB09+04LyQ8V24WjJB/FTzU8ShgIWSRgKMDQE+ULS2uw999wjPjSsSC2pg3GtFsLgye/B6TncltcnPKK1jy+vsSIJwxgJOhQJg8iQNOhFkRpgNARYXl4uzmkwbunFZalPG0ZwTkqPmOFS5VbPJQlDgZokDAUYGoJcjqIb0J07dwqzFKWlZaCV3INxrRbC4OvJvYx1TSO4PMOKCItT+C7whpEkDG/o+P7foUoYbgSoJcUT4c8995wwac/B29J9Q84oigencVFaLz5vHBFLpO70Wr4lYSjQkoShAGOZIEc3fBEHBgbEISK37X4KakNDoyQMFfxIGlVD01iT3ouXKgdBF5rexnmSMFRA1BF1OBBGZVWVsBV21llnIS0tTcw8lkLVM+nC02WDuCTdivrRWeiZZEjCUKAqCUMBxjJBvoQ0UcDT2++++67wksckkjC8A0ejcPSIdkWmFa3js17NNUjC8I6lr/8eDoTR3W0RGorc06A1Bb6HHNQpLy5DhVuc+E1sN2J7J3S5D5aEoUBUEoYCjGWCdKP62Wef4Q9/+AM+/fRTIaxMIgnDO3BcGuBZjMszrWJ5atrL7qMkDO9Y+vrv4UIYJAiqtXO2z8Ecz2jwt9toIUWN5mlodeDd2iG0j2s/9S4JQyF1kjAUYCwTpCCWlpZi+/btYqONLyUvSRjLAAegZWxWGIW7KssKnvz2xBmSMJbH0pc7DgvCUBzcI2HQNe99990nlqd4ZsN90Z7U+3VDwoUr3QdTGUPLJQlDgZYkDAUYHoIUPlqbZWdGcqBwukcwTCIJwwNwimguS21pGxNG4TL7J8VehuLvfUFJGPug8CtwOBIGl6auueYaPPvss6BiiHt5yn2I9IK0XnzWOCJUbLWAKwlDgZYkDAUYKkG+eA0NDfjoo4+EYx4lUbhvl4ThRsLz99yePagcmsb5qb14s8bh8eS3JAzPGGr553AjDGJDC9HZ2dnYsWPHPrP2JA2e2RubnReq3fcV9KN2ZEYLlJCEoYBLEoYCjCVBkgM1oqi6d/755yMwMFDVoKAkjCXAefhpm5oTevFnJlmE5hRJZOklCWMpIvp+H46EQXJgu3m4j6sAXBngu8mLkkanSldmWhHUOb5v9uELupIwFChJwlCAsSRIAeSohWct6OpzqRMX9+2SMNxIeP+mSm3hwJRYltrQOgouUy29JGEsRUTf78ORMNxIcaBXW1sr/Lzn5uYKh0x8l6mhd2OODU+VD2o6+S0Jw42s9IehQGIxSOGihUwShPubZkA8XZIwPCGzfzw3uq2TLvHSPlhsR9PYgRoregiDnSPT5eXlISAgAN9++61YlqDZFtofUltGZM2kA6X9n4/eX3xfRkZGUVJSiqGhIb3ZaErnybw5M2F9WlpahAWGhx56SPgEoQxw8/vDumFxkK/UMe2zBWVJGIpHI2cYCjAWguxkGhsb8eGHH4olKU8djjulJAw3Est/Uy/+29ZRXJLeiwTrxAEHqfQQBvGn9trNN9+M+++/X4wsb731VrEBWl1dvU/9eWntJGEsRUTf75VGGGwFZSI2NhZr164VNqc4qOAKaKptUvho+Vv9sDDBf+Ci6IEYSMJQYCIJQwHGQrCrqwtvv/02jj76aKSmpnrscNwpJWG4kVj+m9742pyz4hDfCxWDGJ7Zf1lKD2GwM+AZGRqj49o1r/b2dnB0+d133wmNGbWaScJQQ0V73EokDGUrWL+9hLEH3U4XHisZECe/O5wun1RsJWEo0JSEoQBjIUitqL/85S/YsGGDcNoiZxg0e1KjuuF/IHreYzjKm5ibx+vVDjHSozVb5aWHMJiez4hkwc6BYc4QqZO/a9cusbSoLMMdloThRsK/75VMGJQFLpNxqZIyMTDmRHCXE8fFdYNnMkaWDFjUkJCEoUAlNS0dVqsNTueEqR+OALnuWFtbh9HRMVPL4ka1xdKDyMhoYSBQa9t6enpRWVmJ9vYOn+rKTq6ysgolJWWmtsvdDrYtJydXnA2hJog73oxvh8MhvAlyfXpsbNyQssadToS1DeLy1G68Uz2AUYXs8eUMCQ0XapFa2sY9JhqD3L17N9atW4eHH35YfEh07DDUsLFardgVFIQTTzxRmKZXu8eoONavt9eKxMRkXTKptR4sLzU1DY2NTWJ/R2t6LfePjzuFaY6cnDzRRi1p9d7LgS790CyXnn1Bc3MLrrrqKuF4qaKyCtV9I7ggsROvVNjR6HDCOeG972M/kJKSKtrIti5Xpj//c9+U/SQtX5vdT7Kee70XZioYYTF4xGJwMRQTG4eCwiLh/Ke6usa0b7owZQdO4CsqK00rh20g2OxQAwKDUOhj28rLK5Ceno7Q0DBkZ+doql95RQXi4xMRGxevKZ1evHNy8xARGbVPsPTm40s6WuFNSEwC5YSk6EsaX+6JL67GTUlNuCyxFVnlNaio2it7+fmF2LxlG1gun6MvefEeyld+fgGefOop3HTTTeLzxBNPIDIyCsXFJar55OXl47PP1+G4444TZ2x8LUvPfcSO9du1K9hnmdRTjjsNywveHYq0tHRBhu54M775nAoKCsX7TUzNKGNpnuHhkUhNTfepLPYBKHSAqAAAIABJREFUtP927XXXCY3HrNIqPJVah9Pj2rG9sA5lC7K3tAz376ysbISEhIk2apFJd3ot32Vl5YiNjRf9SUWFce+bpzrk5RWIQcwiIyyGVAmDnVxtXR06O7tM/bS1tSM5JRXs7Nra200tq72jQ3Q2OwN2ob6+YdmyOsT9VcKg4OVXXIGQkNBl0yzi1YnW1jZkZmWDs7XFePPw5MOPi08QFnI7OjpNLZOjs4zMLNHxcKRlVPuaOrvxVaUFp0S1YHdlKxra9rajrq4e27bvRFNTM/S2jbJGdUqe+H3kkUeEGWy1etMc/YYN3+HYY48V7VO7x6g47qlwthMaFu6TTPpbLsvjoIIdOeXT3/y8pedz4nOLi0sQFpu93WvUf+y3iktKfWoX60c5LioqEiscTe2diKrrwvFRrXg7vw3lzd7lmp04CYpt1CuTvrabs6bk5BRwBkU59jWd3vvYl3DWq3apEgY7OodjSKz7cr3PrA8P03AU39zcipmZWdPKYf25lk1THhz1c7louTZx6YPaNGeffTbefPNNMfVcLo3yf6re1tU1oKqqZtmylOn0hu32ARQVF4uNXm7m6c3Hl3TUGKuvrxcEPDu71ySKL+mWu2dufh7VQ9O4OceGB4v6YZ/cKxNDQ8OIjIoRh678aRuX0qKjo3HbbbeJDXC1+nCpKiw8HKeccgrq6upMxZGKETRXwRG/LzKpVl8tcSyPI2OSPOVTS1qt9/I57V1KKRFt1Jpez/1cFenq6tbULtaT/dCgw4GewWH8MaMHfym2o2Zor7FCT/XgUmJWVo5ooz8y6Sl/ZTzt1XHZjO4S+AyV/5kR7u+3i7b5TBhy0xtiM5cCTzU8m82273SoGohqcVJLSg2V5eN48pvOlbgBWT40LZwt6dn0pre1pqYmFBcXCy+IdKaTk5ODe++9V6hGc/CgdslNbzVUtMet5E3vpa2hhz5qz737/gf4e0k71qT1IL53AtTe83TJTW8FMoc7YXAEzQ1CfivNIisgWjYoCWNZiFRvmJzbg6z+KRwT2wWe/HbM7D2AFxUdK5zhsCPy5SJhkCC4BPXKK6/gtddeE2cxuG5NzRg+V7VLEoYaKtrjVhNhUGWecnLueechtaIeV6V24dnyQdin5oTNKbXWS8JQoHI4EwanlxyZbty4USxb+NpBKeATQUkYSxHx7TcHdT0TLlyfY8P9hXZhAn1oeARaCYPPkVp4XDorLCwUHy4xcVmK03hPlyQMT8hoi19NhMElKarNP/7446hrbsXzxb1Yk2FFwcCUx1mGJAyFPByuhEEhZyfzzjvviBPBVVVVXjsXBWQHBCVhHACJzxGjs/OI7XHijCQLYnudsA8NayYMnwtbcqMkjCWA6Py5mghD2UTWO9oyJpalPqofxqRLfXAhCUOB2uFKGByVcqObJiRIGlzW0HtJwtCLHMS+Re+kSzi3eaZ8EE19DkkY+uHcl5LynZ2TK+woUT7NvFYjYbDOvb29+CY4HGdvzcKN2Vb0Ts6pzjIkYSik53AlDAoMtWQqKiqEoTL+1ntJwtCLHMS68dTcHqytduDqLBsim/skYeiHc19KSRj7oFAN8H3v7OzEDbfejjOffAv/FViFdNuEqgVlSRgKCA83wqCgUI2W1iz5zRfL30sShn8IkqqTbRNYk27F2sJOBEdEY2JyUpPPAj01kEtSelA7MA3fqZVkrfbAGh4YwzrzFPi7772HC+98AGfsKsXTpXbh/3upwpQkDAV+hxthUGOGB6j+9Kc/gS4duQnm7yUJwz8ESRh9U3N4uNiONXHN+DYkGuMTkjD8QVXOMHxDj6YxCmsb8VqxBWckWlA8OIXpJQ7nJWEosDzcCIPrll9++aU43Uv/CZIwFMKgEiTB8hCRUcYHVYoQUdSDpye0M6Kb8WJIGkYnpuQMwxNYPsRLwvABpAWjlVOuOeTYJ3FsbBd2doxhYHr/VQdJGAosDzfC4MGw5ORkfPLJJ0JLypvapQImr0E5w/AKj09/cpZRPTyDu3J7cUV8E+wT01Bz4epTZj7eJJekfARqmdtW45KUskmUg3VbduDfPo7A3eltB/j8loShQOtwIwx27jyoxw1vI/YvCKUkDIVA+RHkyO7ThmGcltCFMscUuBlu5iUJwxh0VzthcC9zd0QUjrrnKRyzowRR3WP7yZ4kDIWcHA6EQYGmfSkuR/X19RmyDKWAUBKGEgw/wjPze5DTP4mTYjvwXesoBpcsDfiRtWpSSRiqsGiOXO2EwVUG+6ADNz7yJI7bkoeXyu3ClbAbCEkYbiQOE5/enElwRvHMM8+AJq9pBM7IS84wjEOzdXgC10WU48qMXrSOzQq3msblvn9OkjD2x0Pvr9VOGGw3jWFabDY8kt8rDGLmDyyak5GEoZCMw2GGQTtRWVlZOP/884UXPSM2uhUQyhmGEgw/wz2OETy3PRrHRLUhrHscEx5O3/pZjEguCcMIFCGUE1abWq1ay0ka0V0juCzNgq+bR8ShUi6KSsJQoHU4EAZnAPR5QW9sbW1thmvfyBmGQqD8DA4MjeDzXZE4J74dz5QPoGtir49uP7NVTS4JQxUWzZGHwgzD3eiS5g78MbQEN6Z37Tv5LQnDjc5hsCRF/wpUDaVPAM4sjNroVkAoZxhKMPwMDw+PYEdYNF4o7sXVWVZk9095tCLqZ1GQhOEvgnvTH0qEMTgyihdiC3FyeIMwez7umpczDKWYHMozjPiERNCcMU1fd3d3i41vZduNCssZhlFIQjgXComMQX7vMC5I7cEnDcNwmrQsJQnDmOd2KBEGN8ATm3pwYXQ9Hiuxo39qDlarDdnZueI0O9tq5jU9PSOclTU2NZkyuF1a94GBAeGSemk8f6t63DuUCYM+xMPCwoQnvcDAQGEKRA0Yf+MkYfiL4GJ6npOJiIqFbdSJv5TYcUNOn9j8XrzDuJAkDGOwPJQIg4hQvXttlUNYUK4fmUFHjySMfZJyKBPG1m3b8dJLL2PNmjXo6emRM4x9T933wME66e2uEQkjMjpWmAYJ6BjD5RlWbG4bc/9t6LckDGPgPNQIQ6h326eEJ8jQtiFUtlvkDMMtKocyYQTvDkFmZqZwvcpzGGZdcoZhHLJKF630+X1HXj8eKLJjbHYe3s7xcSmBJuq59EjDklyKpHE5b0sIkjCMeW6HGmFw0ck6OYe78vtwU1o7kmpakZGZLZekKC6HKmHQN3d0TCy46W32JQnDOISVhDE8PYe/N47g3NQe1I/O7Hf6VlkiyYKn92kbjO5Z77//fjz99NOIjo4W5l88KTpIwlCiqD98qBEGkeBm9872UZwY3YZP0soQl5ohCYPAHIqEwdkEjeX9/bPPxWhT/6vgW0pJGL7h5MtdSsKYm98jXGdemtGLD+uGMTyj7hGN2m+1tbW4++67sWPHDmErjAYmf//73wuFB57DUbskYaihoj3uUCQM1/wetIxN47T4TjySUImA+HShkOFtxqoduQNTyE3vBUzYiVdUVKK1tQ0u1/7WIA+Ezb8YLk18sX49brnlFtF5+Jfb8qklYSyPka93KAmDL2f3hAtvVA/hlASL8PmttizF+/gMhoeHhWIDn39zczMee+wxbNu2Tfj2VitfEoYaKtrjDkXC4LIU9zIeLu7HZWHleC8wGlarVbcbZ19RlYSxgNTBIgwuT9BX93PPPYe//vVJWCw9vj4r3fdJwtAN3QEJlxLGmIs+vyfwX9FdCOt2ir2MAxItiaAMtLa2ihlHbGyskIclt4ifkjDUUNEedygSBlHgwPbL2HQcf91dOOZ3Z+P2229HRkaGGJhoR8m3FCueMBKTksWov6+vH2Z+enutyMzMRnFxqdBrNqss7l20t7cjMHAX1q//6qC0raenFwUFhcjJyTUVQzdmTU3NSElNQ0dHpzCm6I4345ubyPn5BaJt1Ec3owxlnpyBBgQGoaurW7St19aPgnYrfhvZhL8W9qKyx75sHZjHzp0BuOqqq5Gbm4fubotqGm6Ob926Fccff7y4T1kPo8PErrm5BVFRMWhv71Ctj5FlsrzYuHiUl1eA8mlk3gfm1Ye2tnakpKShpaXV5LL29lPJyamoqq4xrSziV19fj0vXXIZf/q//jR/88If42c9+hksuuVTsle01ZGp8n8kBbmZWNgqLisWM5kCsjS2TfQmxVLtUz2EE7w5FeHgU4uISTP3ExMRh48YtCAgIAsNmlBcbGw+evQgJCcOuXcH4+psNCAuLMKUsZf2jo2OxddsObN26w/SyWO7u3aHYtHkrwsMjEWvycyOe23cEYMvW7SC+ynabEQ4NDcfn69YjMipmX1lBMUl4OCIfp4Q34JOIVETHepZVYvPRR3/Dddddh9dffwMREZ5lm1p0r619HUcddRS++uqbfeWZ0S7KfGhYBL7++uDIJMv75tvvEBgYBMqnGW1y50m5CA2NEDLJd88db+Y3+5KdOwNNKSsqNh67wqLw1sef4Vf/35H48U9+giOOOAI//OEP8Ytf/AJvvPEWKKdmtI8Dim3sS7btMK2fVNab/SPfNbVLlTDIZg7HkFib41TerA83JjnaaW5uxczMrCnlcHOTo8aQkBAxOqAgc4nDrDa586XZkbq6BlRV1ZheFsu02wdQVFy8TwPIXQ8zvokpR1pVVdWYnXWZ3j5qtVGAnc4JcdKVbZp0zaF1bAZ/SOnBuzUOOKbU68FlT2pG3XPPPQgICBAmYagh5QkXWjAOCw/HKaecgrq6Oo/3eUqvJZ7LloODDqSl7d081ZJWz70sLysrW8xmKJ968vA1DTHm/lFRUYmwBO1rOn/uKygsErNQf/JQS+uam0fH2DS2Nw3g2m2p+Kd/Pwo//Mn/EITxox/9CL/61a+QkJAgtPLU0vsbx3NPFZVVwssln6G/+S2Xvr/fjqysHDW+OPRPetPA4GeffYaLLroIJSWliI9PxOioOYe+lAjLPQwlGv6Fl+5hMLf5PRDmQR4p5slvGyqHpg8ohGq1NAFDX+30qOhwOLyewWAGcg/jABh1Raz2PQy6B6bvlez+Sfy1dABnJllwemI3bk/vwFX3PIB/+/df46c//Sl+/vOf49FHH0VnZ6dpZjtW/B7GoaRWS82Yxx9/HE8++aTYx0hISJKEoasLWEz0fZz0joqOFYfw2BG5L5LGrs5xrMmwYlPbKFx79sD9L7WiSBZnnXUW7r33Xqxfvx67du0S1olTU1PlpvfsrBtGU75XI2FQ244mQIoHp/Fl84g4HErZujm3D2urHQjtHkf9yDRqW9uxbv163Hff3rM9n376qXDEppRNI0GVhLGA5sHQkurv70dVVRWqq6vFxnpiYrIkDD+leaUQBpvR4ZzFTbl9eKjYDsfM/D4rtjzRHR4ejnPPPRdXX301brjhBtx444249dZb8fzzz3t0mCVnGH4Kx0Ly1UIYHGSMzs6j0+kCHSS9UzuEKzOtYqmTJmi+aBpBxdCMmG1wgOK+uAGelJSM7zZuxDXXXCOWaLmqYMYlCWMBVbMJg/nz416zGxgYhCQM/0V6JRHG5NwefNU8ggtTe1E4MAUuJfhzScLwB73FtCuZMDhJJVHQP3yH04UtbWO4Pa8Pv47qxEnx3Xi2fBBJtgkMzczvm7EutmxviP4w0tIyhBO2s88+Wyx5cgnUjEsSxgKqZhNGRUUFEhMT9x2ukYRhjDivJMLgy0+iuDHHhufKB/02ey4JwxgZWamEwfFE39QcUmwTeKx0AMfHdePUBAvuzO9DcNc4upwuYT2AZOJt7EHCoAIB1di/+eYbWCwWcVDUGPT2z0USxgIeZhEGhZV50yQEtWOo0cNZhiSM/QVR76+VRBhsg2XChVerHDgvtRet47N+zTIkYeiViv3TrSTC4GxiZHYe5UPTeL9uWChJnJ/aK75plyzFNiksBtDMDO/15XJ73KM2KbXBqPHJNptxScJYQNVMwuAD5GbUSy+9BDoEkYRhnCivNMKYcO1BdM+EGClGWJyic9DbWkkYepHbP933TRicHZAAGkZnENXjxGtVDlyVZcUVmVbcV9CPL8XexLTYm9CzjOkmDGrwce+Ce6TcK+XemdGXJIwFRM0mjJKSEpSVlQn2l4RhnBivNMLguK5lfBa35PbhwWK7sDWld6wnCcMYOfk+CKOgqATNnd2CBNrGZ7GhdVRoOJ2WaMHJ8d2CNDL7J4XHPL3y4UbHTRh0H0yzQ4888ojQxGxqanLfYti3JIwFKM0iDPeTIkm4p4mSMNyo+P+90giDLaKGVGDnOE6M7wY7BT2jRuYjCcN/+WAO3wdhpBaXY2NpGx4tsePfo7pwVEwX7s7vF3sT9uk5YTiQMw9/yYLtcxPGyMioOH/xzjvv4KqrrkJMjPoJaX9QlYSxgJ4ZhMETpjyty9O9tCHFpSlekjD8Edn9065Ewpie34O6kRmcmdyD9+qGwA5CzyUJQw9qB6Y5GITBzn9kZh4VQ9N4u3YIp8e144SoNlyTZcNXzaPiMGfPhEuozfKMhRFE4W6pkjDYt/DgHg+H0s6a0ZckjAVEzSAMHthqaGjAFVdcgU2bNglTECxOEoZxYrwSCYOdB2cZDxfbcUd+v9jg1NNBSMIwRk7MIgw+Z56b4OBgW/uYOIX9x0yrODtxa0wVvqjsEQTCA3g0RW7WpSQMtpV9Gc2tuAeoRpYrCWMBTTMIg5tOVKc9/fTTkZ+fv+8BSsIwToRXImGwdVSFjOudwAVpvWJ5alrNUcYyMEjCWAYgH/82kjDY79PbHWcLZY5pce7mppw+oRV3YVovXq92CKda0dmFaO+y+FhD/25bShjMjdpStFvHw8Ls24y6JGEsIGkGYbAzo070hg0b9rNRLwnDKPGFmLU1NDQKD4aeXJ0aVxqEsUg10yBLyyA/9E/NiUNY9xX2wzapfVlKEsZSVPX99pcwODdwH67jbIHabzzNf3JCN46M7BRmO0K6xoVKNcviVVRUjG7L90cY6enp4tT35s2bhczqQ+7AVJIwFjAxgzDc00MuTZEk3JckDDcS/n+v1BkGuw1udq9rGsEl6b3CyZLW1krC0IqY+v3+EgZVYgsHp/FW7ZBQlz4hvlvsTaxvGkHr2CwcM3PgKX/luYnvmzAaGxuF3bKHHnoIdrtdHRgdsZIwFkAzmjC4fsgzF9x4om60e+TB4iRh6JBUD0lWKmGwuiQN2gS6PtsmTDxwM1zLeSpJGB4eusZorYThXnbiuYlvWkbFLJHLTX/MtOGNGodYauS+BWcbHBTsnVPsX6nvmzC4HJ6UlCSsS3jyGb9/jX37JQljASejCWNwcBCBgYHC3DDDkjB8E0itd61kwmBbqCH1cpUDl2VYxZKFls1PSRhapUH9fl8Ig0TOvYn28VkkWSfwUf2wODfB53Znfr84lZ1jn4Jtag6+7Ed934TBQSkHqktXN9QR8j1WEsYCVkYTBn1frF27FpdccgnI8JIwfBdKLXeudMIgQdDcwznJPdjd5ZvPb3f7JWG4kfDv2xNhcCZB5QQa9uuecAmf7A8U2cWzol0n7lPE9k4Im05az9J834RBxEga7Hs42zDKeq0kjAVZNJowqAv97bff4uOPP95v/8L9IKUtKf86AXfqlU4YrCdPfvMA12XpVqFd4+uylCQM91P279sTYUzOzSPHPolXqhxiA/v/hnfg6iwbvm4ZBU9nkyRIKmpLTsvVaCUQBokiKChI+F/p6elZrso+/S8JYwEmowmDHRmP6dO+y9JL7mEsRUT/79VAGNwU3dExhv+M7kJ636TYIPWlxZIwfEFp+XvchFFcXIru/kE0j81iQ8soLk3vxW8TLeD+xJs1DpQ6ptE1sddCLGeGeojCXZuVQBjsfzhg5SpHeXm5IV74JGEsPGGjCIPCyUMz1EygG06Sw9JLEsZSRPT/Xg2Ewc6ncmhGmAp5r8aBNsfYAcuUaghIwlBDRVscZwgTrnnU2UfxQVoFHs/rxnXZNuEZkbM+bmoXDE7BOukSexP+kISyZiuBMLh/QZcK9PJIW3bs4/y9JGEsIGgUYZAMeFjmvffeE+cv1NYOJWH4K7aL6VcDYbC29qk5PF1qx2VJ7fg8PAHJqakHaM8ttmpvSBLGUkR8+81On2qu9DVRNTyDXZ1juD3bgjNiWnFOfDseK7Uj2TYh9i14nxnXSiAMnktyOp3gfioHr0acU5KEsSAtRhEG86F5YRr/ev3111VZXRKGca/oaiGM8RkX0tps+I9tJfjv+5/Hs6+8Kl5mzkg9XZIwPCFzYDxRnFvwXEdzHZn9U3ihwoE/pPTi/0V04I8pnXgltRqlthG4OO0w+VoJhOFuIvskDlz57e8lCWMBQSMJg9O/p59+GmFhYftpR7kfliQMNxL+f68WwhgdH8f7n6/HKZuzcOT7QXjuo88kYeTkCkN5arNwrZLBZafq4Rmsbx7BBak9wjrsJelWvFUzhNLBKbQPDCO7qBR2x5BfexO+1mulEAYHJHSrEBAQIEyF+Fp/T/dJwlhAxijC2LvBNiJMgnAaqHZJwlBDRV/caiGMWZcLvX39+LCyDycHlOCF4KRl9zHkDMOzTHCOwOWkTqcLu7vG8eciuzhRf3F6L54sGxAqsrQcy3MTk655DI+MoqSkVFiP9pyrcf+sFMJgX8PzYHfeeafw+e1vC1c8YWRmZe9df5ufx5yJn+mZGZSVVaC5uUUYCdRTFkmHG03c8B53OsUUUC0fdh79/XbExyeCTk/U7jEsbm4OU1PTqKurR1VVtbllLTyffrtd2NKhloZrbs7UMrlG624bR6qG4eZB1hxDQ4iIjBazA81tm5tDycAkLk7qwKMZzRh0TmLW5RkfDjhCw8Jw8skno7a21tS2ETseME1LSxd+OMzGcWZ2Vvihbm9vF/bAfCmPeE+65sQByKz+SeGp7t78PlycasENWb14sXwAsZZxtI9Ng0uA7ufD93JoaFjI5MDgoKk4uttRUFiEzq6ug1JWb68V7CfZRrbVXQd+83dubi7uu/9+YQBV+Z+eMPu3iopK1Dc06u4ntZTLfjIrK0eV545Qi01OSUV7Rwf4oM389PX3Izs7F2XlFWBYT1m2vj5BOG+//Tbi4uPB32r52AcG0NLSirDwCHR2dqneo5ZObxzrUVRUgrz8AtPLYh1bWluRnpGJru5usK166+1Lup7eXhQWFSMvPx8kKl/S+HMPZTEoeDdYrn1Au0w29/bj8axWnJfQhlLLAGxe8mhrb8f27dtxwgknIN/kZ0fs2traERMbJzo6fzDyJS07goSERDGI8fSeuPPptQ+irW8AtTYHkrqH8WSpHeclW3BMZBsujG3Cl+WdyO+wobtfXdYogx2dnUImW9vaTZcR1js1LR01NbUHpSx23vEJSaKNau8b38fCoiLU1tX5XR+r1Yac3DwUl5Tq7ifdz9WXb/aTxFLtUiWM3SGhSEhMEg+bnZBZH1Zqx85AhISEiQrqKYf13LZtB0488SQ899zzHuudlp6BmJg4fP3NBvGg9ZSlJU1qajqCgnYjMDDINPyU9YmJjcf27TuRmJhsennJyakICg4RbSOuynqYEY5PSMT6L79GUnIK0tO1y2NiUjL++t1uHL0pBw+G5SEhPctjndl5v/Puu/jv//5vbNm6zeN9RrQzLS0DcXEJ+O67TR7l1ohy3HmwvE2btyAsLAIpqWke25aSlonPI5Jx4+YE/HpTHv7nrmb8IdmCl4osCCqsQWpGNtKW6xfSM8Vsftv2nYiNS/BYlrtuRnxv3bYD4RGRB6WsqKgYbNq0RbQxTYdMamlvSkoaAgJ2iXeOfaaWtHru5SoM26d2qRIGOwHae5+YnDT1MzY2JkbhtbX1GBsb11UWlxBqampw0UUXIT4+HsxTrd5cRunp6UVkVIxYmlK7x7C4iQlxgLCysgqlpWWq9TGsrIVnxLbl5uYJ44s0TWB0/sr86NHQ3TaebFX+Z0a4r68PIaHhcDiGxB6E1jIoIx9vD8Z/v70NFyR2oM0xjjGnOkb00hgUHIwTTzxR+FXRWpaW+4md1WoFCY1LqlrS6rmX5bHDaWxsEvKpzMMxPoGGgTHsbLLjyuQOHB3WjNNiWvFooRVptklh72lgyoWxqRmf6umcmEBfX7+QSbZRWZZZ4eycXLS2th2Usjo6OsGOnG10epCloqIibN26Fa2trcJUiN528yByUXEJqqtrMHYQ3jeLpUcMzHwmjKzsnP18SaglNCKOa31cm+NDdrm0+y5gHZgHHZdwzZAvnSeVSbnpbcQT25vHatn0dreYBLp+81ac9tS7OO7/b+89o+M4snzP3ndm532YDztnZt/MvHlvz+727Myou9WybdRyLdNy3fK25Q3lKLW896KklpoS5ekpigYkQRDeew+QIEDQgYShB713EilRVL+75xeoJFPFzKrMrEwQAG+eU6eyssJk/ONG/CNu3LiRv0rQxX992NnM80RZ9D506DuzaW7jwcNSueWAvN2xW25t3mp2Yt89b5t81LVHqrceNAvcLHT7tYrtM0Q5MRe9LbkbN26c3HrrrQJxpGKVNuAXvQcTYbAxhkUhiMONLKhAJQxLjFP/HmyEgReAzJxceez9z+U3RatlxNJdrocrDWXCYEG6prFZ2leslSU7D0jhxgPyVPsOY+l0YdUmuWveNklf95Ws3P+d8SKbYLtKUiFSwhBjVgthVFdXK2EklRgPAVKdYfQJ5V7hpKuenp6ElaKE4aFCPAYZbIRB3WONtHjtRhm5bKecXbFBFu/+1mw6iy/yUCQMNlbjHnzPt4dlWsMCeaZ+hVxatUF+XNAr51dulFFde6Rt17eus654jLz8VsIQwRqNvoljW1PZ8a0zjJjEpUoYdATLly+Xyy67TD7//HOzfuEmzEoYbsj4fz7YCIMSUv+Yfc7b8Y2cWrJeJqzcJ3u/O9bn2FAjDHZYM2OYte4rc9bE/8xeJWeV9srjC7ZL1ZaDsvPbvxqicDuUyL909MVQwhB1wZh0AAAgAElEQVRDEqii6OdSuZQwYuilShhUBjsqzz//fEFfyIK326WE4YaM/+eDkTAoJSNtfB3d0LjFnLvQte+7Ywo/FAiDUwY5zxwvvWyou6xmk1xQtUnunrtFni+aJwXLe2XdfmYUf41sB7YSRt8ghQXr3t5eY6xBHxTkUsKIoZYqYRCfyoAsWltbjcdatwpRwnBDxv/zwUoYlJQF3Mmr9xvPqRzUE39Iz2AkDJbvKce2b743qqUpa/bL4wv6iOLa+i3ydPsOmb3uK+na842U1jbI6rXrEqpv/UvEsTGUMMT0R/n5+fLUU08J1nccIR3kUsKIoZYqYfgBXwnDD1qJww5mwjj8v/6XrP3qsFxZt0VeXLxLdh364ahvMBEGJLH/u78aN+G45Hino+9Y2tNL+86bGN2z1/h6QvUGqaBHx/SUg8ZSsdpJLB19/yphiJlVjB8/3jhFtXbXe8EuPowSRgwRJYx40Qj+m0Vd/PZga09jjfIazIQBMhwR+vrSXXJF7WZzgI8dq8FEGPh0+nL1frm+YYv8t+y18vPi9fLMwh1GFcVZ2fFSoIRhr+nU7tmnhpeKvXv3ubY3SLmhoUFefPFF4fQ9rPWCXEoYMdRSJQw2dOER8uqrr3Y8Zc9eOTrDsKOR2v1gJgxKzp6Ckk0H5Mq6zfKX5Xt+cCToQCYMFrA3H/xeqrYelEfbdsgZpRvkrPKNwr6JjN6vZNX+72T7t9/LAZd9E0oYqcm9PbYXwmDgRlth4yjqKF3DsCMY4D5VwlixYoW8/vrrcuWVVyph6AzDlwSu/fqwPDR/u9zUuNVYCqGq4hpohMHJgTu+/V5adn4jH3XvkXtatpn1lxsbt8g7y3ZL4cavzfGnnEfB2RSJLiWMROj4+88LYZAifRxeJpj5cx/k0hlGDLVUCWPDhg0yZswY+fDDD83mvUSVoTOMROj4+2+wzzAoLWc5zFy7X86u2CjNO745sgfheBMGXT4d/+5DfzXmsOy25nyJP9RtNpZOqJ/GrNgnHXsOyZ5DyUnCXrNKGHY0Urv3Shi40ZkzZ445thVP0kEuJYwYaqkShh/wlTD8oJU47FAgDEpIp3tz01ZzrgPHudJZHy/C2LNvv2AOy0yh9+vvzLnXzH5+VrzenEv+ypJdUrvtoOw6FMyFDuVVwkgs137+9UoYLHbfe++98txzz8n69ev9ZHEkrBJGDAoljCMykfKNLnr7hxAz1M969sr/V9Ar7bu+FdQ/x4Mw8PzavW23FG86YNYm/u/8dYKlE+onDipiTwWL2LyfX59OdlSUMOxopHbvlTBY7Mas9uGHHzZbAILkqoQRQy1Vwujq6pI333zTHLhOY0h06QwjETr+/hsqMwyspRq3HzSEMXnVPtn17ff9RhismWz/5rDUrt8tdxe0y8Xl6+S3VRvlpqat8ln3Xmna/o2wzoJJLBsOw7iUMMJAsS8Nr4RBW1m9erXQV+EEM8ilhBFDLVXCqK+vl0svvdRs2ktmV66EEURUneMMFcJgtL7xwGG5sXGr3N+y3Swe796zR3Jyc+X000+Xzs5OZwACPsVBLusOHXsPyezer+TFRTvkiur1cnZepwxr3iQTV+0zPq4IYy3CB8zKMZoShiMsgR56JYxAicdFUsKIAZIqYeA2+PrrrzfuQZQwdB9GXDvz9JONb6iCME8t3XRAtu0KlzCYHaBOwiVJ595DxocVC9e/KNsgvypbL8/M7ZXPy5pkw56vklo5eSpQgkBKGAnA8fmXV8IAcyykUE0xwwiyR0oJI1Y5qRIG52AsWbLEHAaTrCJ0huGzRSQIPlRmGBTRcqlxee1meap9p/Rs2RnaDIMZDCql3A1fy7CW7fJvBb3yLzlr5b6WbZKz/mvZ8vUhwYqGU9ES+UFLUBW+/lLC8AVXwsBeCQPLqM8++0zOPvtsM7Clz/N7KWHEEEuVMGgAzCwgg2SXEkYyhLz/P5QIg+UBFpOxQrqqfovk9mxJiTBIb+e338v8nd/KiI7dZibBbOKa+i0ydsVeYyrLbAPHf4cOf6+E4V3skoacP79V1m/YkDRcGAG8EgZ7MGbPni2/+tWvpLGxMan5v9O7KWHEUEmFMNg5iY65rq7ObIzRGYaqpJwam5dndPLsd7isdrO8Nm+dzMrKltN8rGGYtYnv/irL9hySSav2ycOt2+X3dZsNAb24eKexdFq295AhEvZYWGvYDHh0huGlhryFGYiEQR+3du1aycrKMmopnWF4q0vHUKkQBnrB6dOny3333WfORU42y9AZhmMVBHo4lGYYFgCY2OJu4/LiHvls5hw55bTEi96sTbD+gT8nLJo+79lrfDpdULVRrqrbbI48ZXc2u7TjPeJaeSphWEiE8z0QCSOMkukMI4ZiKoSBbvCLL74wZ+ayoETjS3QpYSRCx99/Q5Ew6NTZ83BmTqfcPXqm/PTUYwmDNQnUV/sP/1U2HTwsWev71iZQOZ1U1GvO2CjY+LWxvPJiCquE4U/ukoUeiISB5oN6ZoCLViSZJsSpjEoYMVRSIQzWLhYvXmycDzKtT1YRShhOohjs2VAkDNRES/cckusrV8t/f2eWnHTGr4ztvB0hFrDrt30jry3ZZTbW/Xthr+DTidP7rHOw2a3thSxIVwnDjm7q9wORMOinFi1aJLfddpsx/z948KDvgiphxCBLhTAgCMCHuZPNLshOCcO3nLpGGIqEQWE37N4vb+Q3yD9ccbv8t//xf8l7I0fKop5V0rH7GxmzYq9c27BFflu1SX5fu9n4d+JEuxX7vzN+n9zUTq4gKmEkgibQfwORMHBpzn6x3/72t8bVeZDNewOeMPILCs3oCud+UX44yKWiolKamppl3bpeX3nhl4XFJHy1cJ/sPQnT0bFMpk6dLt3dPUnDJ0sv2f+8W11dvVRVVUeeF++ybNkyKSoqlp6e6Mu2atUqqa2tM2XjxMNkWKT6P7tkv5g8Rcg31bQSxa9vbJI/XHeD/O3/8Q/yv//X/yr/z//7Y7n1uTfk99kL5eczF8glWQvl6aplkrlolbSvXCdr16fWPsCOM+kzMub0S72RX3Z2jrS0tJi2kwiLVP+jvXV3dxuZXL68M9J6s961oLBIFixo75e8Fi5cJJmZ2dLV1Z2w/6EfKC4ulj/+8Y9SXl4eSIbp48rLK6ShodG4F7HKG9X30qVLJTs715G0f+T09L33/iJ/+tOf5PHHH4/0Qx63336HDBs2TP70p8d85fXoo4+a9YurrrpKHnnkkaRxH3vsMXnggQfk1ltvM35d+qNsd999j/CJOi/Sp2x33nlXv5QNvO+551656667BVyjLt9DDz0kN950szzy6KOR5nXFFVfIP/zDP8iPfvQj8/nf/st/kb/9n/8m/+OB1+RXd/9JbnnwT/KwTzlNhA3Y4WPoj3+8tV/qjfyQ/772Fn37pt7uuusuefDBByOtNwvj2++4Q+65995+yYv2dscddwpltPJ3+gZzwtxyyy1y//33B+pX6evoR8Cyv9obMul0ORLGQw89LGed9Rs544wzI/+ccsqpcuqpp/nO5+STfy7/9E//JP/4j/+nnH76GZ7in3ba6XLyz0/xHD6V8vNOp5x6mvmkko7XuCa/U07tl7LxTtRZkHrzWh57OMpm6i1iefzxj/9N/vZv//YIYUAcf/d3fyc/+9nJnuTL/s5e7ynbz/tJJnmnn59yqtAOvL5fKuH6WybpS/qrbORDfpTRC0aE8xo2Pj0Lx/5qb+RP/+90ORKGUUl1dxu7YSyQovqghqqoqDIqKabLfvJhD8af//xneemll49MrxPFZ4qM2mbatOlm+p8obKr/MVVcu3ad1NU3GLVNqul5iW+ppDhUivy9xAkaBmdq7H9B3dbbuz7SvHhHpv2Tv5x6ZDof9L0TxduwYaPU1NTIRRddJH/zN39jSOMf//EfzcwNNV+iuEH/O6KSmpMZuUzyjkYllYNKar5pM0Hf20s8ZLBPJVVi9kt5iZNqmEJUUu3tkdRV/LuxkJ2VlW3KuH69e3sDB1Sqjz32uOTl5UlnZ5fv91uzZq2UV1Sa89j99pPx7+3l99KlHZKbm+/EF+JIGPUNjYLbjaivVBa9WUzi6EPceiezkKIcuugdXm0O1UVvZL6srExuuukm+Zd/+Rd59dVXTWNP5qcsKLJqJRUUOed4A3HRmzpmDeKcc84xhEGf5fca8Iveg4EwIAnsmum8lDDEEGdb2wJjNeYFD79Caw8/VAmDMtKgZ6Wny8knn2z8lHmxwLNj4+deCcMPWsnDDkTC6BsUL5LLLrtMqqqqjN+75CX5YQgljBgeqcwwGPWhfsFkzYsXSJ1h/FAIU/k1lAnjeBygpM4HU5HGo3EHImEwKNi2bZuUlpYaVRSDXL+XEkYMsVQIg53ekyZN0p3eMSz1xD2/zdA5vBKGMy5+nzLL3bt3nzDrZWNtf1wDkTAoN4NVBriQR5DZvxJGTHpSIQw27KWlpRkTwc2bNyf1WKszjPCa7GCcYdBgmYnSebW2tsonn3xi1ig+/vhj40V07969pkErYYQjJ0oYfTiCA7LHgI52Qz/k91LCiCHGwjWbUdjghuWNnwUhpnZYrzQ1NSVVSZHPpk2bzKaeceMmGJciWBsErUAvFY6QsGGpuXmeyZtd6UGEJVlepElnh5VUTk6uwQSXylHkxbuAJRZnlZWVZjMRHTDEH+W1fft2mZ42Q7Zu3WrWrfzmBR5Y1WVmZhp5mThxojQ3N0tHR4fMnTvX+CRjcxVlYeE7qhP34t/78OHvZfv2HcbahkFPlDiSNu1rzpw5BgPyC6IeiS+D029G0mgAwByZxEqIAV6Q0bVT+m7PmGHQJyAn1CVtMMyL96dsYIel2fTpM4zbDzbnIWNO5QN3NmeOGDHCvFsQzL/++oA0NjVLTU2tSQMZjVJWduzYYfplJ+yOi5UUwDLaA+jPP//ceJxlc8+4ceMcQXd6cZ5ReQDnVFH2OLD7e++9J1dddbVceeVVcvPNNwubYehkSSOKC2Fta2uX8eMnyh133GF21wYRlkTvxrtz8E5FRYU88cQTcu2115pNQnR+kEiYpAHGlIl1ow8++MBsNrvhhhtl6tSpQocehQBbZNja1ia333Gn8Rvm56Ah3pn3ghgwwa6trTXvu3DhQtPAwZb/kQ/kEDNQGkt/EAZ1R8Onk2NTF56X6XSiuCgj5ZoyZYo5oZJdxx9++KGpS/5L1n78vJNVZ7jzpk1fe+118sQTT5q1Rq9ufPzkZw9Lp1pVXW3ypQ34kRV7Om73lA1ZYdPeNddcI2wapi95/vnnXT1mM8BinRVzbWtw65a+03MGtfRTr7/+hlx33fVm8x87sUk3qmvAEQZCyujj3nvvld///vemsTY0NJiRv1fhJRydIiZrjN4TxcMFye233y4vvfSSvPPOn83IuK2tzYyCwuxU7RV46NB3xi3CJZdcKmeddZYx1wziR8aeZvw96dH5PffccwbDjz762HQEv/71ryU/P9/MoOLjBP1tdXCYmtL5fvbZ5/LOO+/Iueeea04UY0QX9kW9ZmRkmMb5y1/+0hAV5OT1Qs54rzFjxpjOkcVH1r2YzcY3OMxpGX0jKzk5OZGc6W1/b2SXg3UuvfQyOemkk0zZ6IyiuJhZTJgwwQwqkH9OgLvnnntMxwpphTloos7A8sknnzQEhUy+8sorcvHFF5sT56IiRXArKCiUG264wdTd+PHjDUmGiSfyxCAXi6eRI9+XTz751JR1wQJ360QGWZwK+tRTTwkdPQTg9aJP4xjq22673XwmTpxk9gpt2bIlstkh7zbgCIMpIx0aHhyLi0uEjSIIkp8pJKMVRrcQAZXoJvSAzv8IEqO4jIxMowZgtB8VWZAuKrCRI0ea2RPvyCwgbMIgHwSQRs8myPr6BkPEt956q3z66aeBTPjchBkcLdKg421vX2imyG+99ZY8++yzpqN1ixv0OZ1PUVGRFBYWygMPPiSsN/ghDPDmlDPSACM6adLCvJF7+4XnY8rCLHfy5Mly6qmnGiztYcK8Z/RbUFAg1dXVcvXV1xjCj4owqDewADs2gDFiJV9mpGwsiyfPVMppySRlQXWDyhn1H24xsrOzj8E9lbysuMgmssKsiUEormsYGNDxhXnRP6FeYpCLHOEHb9u27aYNuvUlvBvxGLiAs1u4+PckHm0bdyAMeNhMvXjxEtNPhj0rjM97wBEGOs3XX3/dNNAxY8bKBx+MMo65EGiA8nJBGIwiLr/8ctOwAdHporGQH6OC0aNHy6gPPzJOCOlAvObllK7bMwSCd5s5c6bce+99Mnr0GNNYoiAM6x0QRBzz4ViupKTUqB0w4/MzmrHS8vJNuuxYpTN44YUXTF3SOYR9Uad0BKiKHnv8CbNQ7Ycw0KOjPqOD5J0ZJLDTldF2bm6uUVWh80Y+pk2bZvw5zZo1S/icdtppkRIGnQiDJAYzN998i5GTqAjDqhfaQkNjk3G+icqGgQXk72egZqWV6Jt2BdZ4O8jNzZO0tBlmcMgIO+xBE++BnDAIwEdWenq6mdFA+mETBmXCYIK+BI8Rkyd/abQiDD7c+h/6A/BFjsHf60V6yOall15qBjCjRn1oZjVoYiiXn7S85mmFO66EAWB0aIyoaMA0XKZZjLrRu6MHR8fPFJkROeG8sDCVx8gFNRMqBgtAKocOm7xokFZnevfddxvnfOzifeCBBw15sHibSmPhPXkP8uKDUPDNFHT48Edk+vQ0SU+fbab+LBKn0lhohAiRVTbS4jfPafRY/Qwbdr9ceeWV8vTTT5uOyE2ILcFI9E26Vr1RJ5SNZ1zUITOMWbPSjRdORvCpqBqsspGGVW/Up5Ufs6cghMGgAHUdBg4WFnyjdkLHzoyFGQWzMRzHvf/++7Kchdrc3MhVUuBIGVEv3HLLH/uNMOrq+zwoozIaNWqUqTcv7S2RrMT/R7kgZlRfdOK/+93vjPoyioV22h9qafIZ8dbbUllVZQaiURAGfYV1tgXrQHxwBghJoVFw6ktoQ/RTaFT8qG2Jx5rHeeedZwae9F833XSzcR6J11s/A6f4+kn2+7gSBiAyigIwpqSoCBhts2hEx1ZcXGqsl5jiXXLJJTJv3rzA+jk6GPS1jJ7QQwMsQkoni66/urpGPvzwYzMyoLJZCKdTCXohrDQMRqvkx+IWo1UW1D/66CPjawnCYJqM+oHOMGjjpBEykkE/TH5giGqPMvONBdDLL79iCJSy8T+dfNCLjpWRPfVC3WFNRF2S3759+6WsrNx0dJA8hJXKBSY0JmZFVr1BHhZWQQkDvNCfI39OjZlnkCHyQaNHTYO8DFXCoLyogB9/4kmzxkD9WhinUn/xcZEdZII1IXy9MTCkw2OGkYpMxueDLDIr+8tf/mLIHku6hsZGefnll81AgE6cdhPWBVbIZXt7u1FHjR07zuTzi1/8wrQRp76ENs/ABNJkxuD1gjCQxzPPPNOsFxaXlEpra5uMHTvWGLZAXFFdx5UwrBkFlYiuG3UAndDw4cMNIFiJrFixykztsD6gcwoqVFQoo0lLrw4hoHNEsGgsW7duk6KiElm5cqWZwqLDTUWVwiifRoCVBB86TyxRfvazn5l3YIEYz79nn322GYkwbQ46Euf9eVfKRF6MhiEnLsq9ZctWaW6eazrHN954w6iKmEEFvRBY3hfVIXXHiI26JC+sjhi5M0qlY0i1URIfXTqL6aRLB0BHYKUblDAgA96bGa3b7I7OjXCMhlHrQVxDkTCoNwZTLL7SgUdpIYjMUXfUITJJXu+++66pW2ZUYV3IKDN3jEqQU8qFxoE1hjvvvNMMUOn8wrzoSygbA0XOhGG2+swzz5g1KO7jr1QIg8E1ZZk3r0U4f6Nj2XJDVqgSGcBFdR1XwgBcRnCMgunwAJBOnE6BRSoOT+rq6jHmhddff70hEQTBy0WHiSqBGQWjfS46NQqMYCKwkA/vQIfL89LScqObZiTLqCeV0THpQgDkZX3onCgbag5M4e6//wFz2hadK+/J+wW5aPDgwlSUvGj8dIKUm/927Ngp81tbjQDTwSPEqRAGadKRkh91x+gJDCFIyvLkk0+ZBmPhHqRMVhwaIWWjvqx6Iy+ecwUlDNJEXQFpMNqkTPaL9CkjIzlmaGBKOYcaYSCntD3kkvMwsOePX/S345LKPRhDwnysnd4cXMY+BOSG+g3rIg+MFehHMIt+4YUX5dlnn5PrrrvOqLmpU/qbsC7khTwp4+bNW4yRCZ5kUYd98cUXRsbi8yI8fQyk6WewSJ0huxAG1l+YDC/t6DAEicYCK8+oruNKGE6FYhSHe2zMxV588aUjJpqsY8DcgOXlYgEKKwJG3W4jSDoegP/yyy/NB7UNU0QqGZNNyCysi/fmPehkN23abEZXnPDHGg3Tczokr2Xz8k6QIS65mdVgMYapHyNlbMNRsYTZWMARwce2HtXh0888Ix9/8olRIfEOYXYE8WUPShg0bOqDNRaMEOhcmMnQIOhAmVGgBsMYArmD/Pp7pze4Rb2GQR50qozE773vPjOYQT1cUlJi2kYYpG/VGXgzMEImwZzD2Gif9913n1ERhymT9oEGba60rNzsw0CTwYANVWSYZaMNIEOYQzMIGTHiLXnrrbfNWganGIbZl1hlw2iD8pDPB6NGGXUUxj5OsxmrDlL9HnCEQUNm1Iou/pprrpXzzjvfjD5QdQCU1wsd7IsvvmjWC9zUWIwyCYeqA5v3c84511hs0GAQbt4ligvh4hyH0tIy44KCBSzeJcwLAWXaihnh+eefb/ZEYEyAQFPpYZaNd0dIL7zwQqNiYzGOPRhYjED0NKSoro0bN8lLL79iOiEnPXGyfBmgMIV/7bXXjKxQ95hdIjtYRCGL1BdXfxMGJPzww8ONlVaYnakdE3TnED26dvboXHDBBcb6hhk9a2K0g7AuZJI0UZsgK8gl1oLWGl6YA6b4d0a9vXjJEjNoom8JexZFG2AtlDVKzuimDXBiImuXDAad+i76JQgbQgtCXrRjBjRgedFFF8vbb79t9hSF3ZfYsRxwhGG9HNO1RYsWy6pVqwU3CX4vKoORIWoFp8qyp0fnidqmrKzCLNra/4vi3iIMpuP9caHOUffmiZFGXphVYFjBxlE6lHi56W/CgMzUW23ievP6L4SxfsMGr8FTCseaYUNDk1G7xcuQPWHk7OqrrzYWaUFn4epLKoZoqoQBCTBi8TKSVsKwi3Fq96zDMHtiRhjliNF6Szr2/IIisx6VqHFa4d2+iYvMMTqD0J3kRgnDDT1/z8HaWsOAFPvjGoiEgUUVRi+opBnUBbmUMGKopUoYdFx9G9ayk84ylDCCiKpznMFKGM6l+eFTJYwf4hH0lxJGH3KslbFTG7W4m9o8GcZKGDGEUiUMdL6YfqJHx1Q20WhXCSOZWHr/XwnDO1aJQiKvqpJKhJC//wbiDIM+jjUiZrVOM1ovJVTCiKGUKmGwwIa1FZti0EtbC5dOlaCE4YRKsGeDkTDonBMNKCwkdIZhIZHat84w+vZH0VZYY/Uie26IK2HEkEmVMIiP9QFWCugHEzG4EoabOPp/PtgIg8bKgiMGEolkBCSUMPzLg1MMJQwxRMH+DDb0MpMMShpKGDEJS5UwEErSoANL1hEoYTg162DPBgth0EBRW7Lfhs1c2LTz7siN26WE4YaMv+dKGGL2uLAHC5N+5DCR3CVCVwkjhk6qhEEy6AYZOWKxw9TP7VLCcEPG//PBQhgsMuJqhp3v2M7jqoXdtokarhKGf3lwiqGEIcZ3FC5R2HGeyr4JJYyYhIVBGEz1ZsyYYTbQsLPT7VLCcEPG//PBQhgsNrJhEgsVNj+x6UkJo8lswEy03udfIo6NoYQhxiqKjaZO+32ORcz9yYAnjLr6Btm1e7dR89DRRvVh5yNOtXA+yAl1QfJhp2xaWpo5DAYfVW5pQE6sd5SUlJkKdAsX1nNGFMuXd8mSJR2u7xRWXqTD2dD4kmLqiyomzLTj06IjZkPSkiVL5bvv+nzrxIcJ8/fu3XskL79QONs4SNkgCXTJOKXcv/+rhGkwAMmOnbiXSJ7CKB+d9s6du4wXZTqVMNJMlAb5ccgW/o8sq51E4VP5j3qis5w/v+3I+mIq6XmJO69lvvT2ro8cR94F1z/19Y2mjG4ySZ/Dx+1/L2UiDAO0RYuXmL1P1KHXeEHDcSgUZXO6HM/0np2RKTNnzZbMrJxIPxlzsmTMmPHy5ZRpwn2Q/GbNmi1jxoyTp59+Rr6cMtU1jTmZ2YJfp3HjJsqMGbNcwwV5B6c4YDhh4hcycdLkyPMi/6nTpsuECZNk5sx0yczKjjTP9PQMmTx5islvTmawenPCzO3Z9LSZ8vEnn0n67DmBygYmjz/+hNx55919dZ/pjg84vvDCS/If//Ef5rAtt3cK4znYzZg5Sz4fPbZfZJL8Ro8ZZ9ob8hlGGdzTyJa0GbNMG5g2fUbEefX1U+PGT+zH9pYm48dPkrS0mZLpIE/0Z/jJw0knBy2l0k5mz54jX0yeIuMnTArcT7rX07F9/MxZ6ZKXV+DEF+JIGGXlFbJ23TrZuWtXpJ9t27dLY2OztLcvMqP/IPnt2LnTOMVjgwwzCLc0cAuyevUamTMny3hxdQsXyvOdu4wrdfzXNzfPc32nUPKK1RFlq66ulQ0bNpoRXZhpx6cF1ti8N8+dJ9t37Ii8fDgfnJWeYUZ1WMPFvw+/16xdK59+9pk88OCD8sgjjxq98ZatW01YfFFxBjlrGeCDzDilwTPUmtPT0uTkk0+Wlpb5ruHc4vt5zqyQ0X5hYZGsX78h0rx4L/IrKS0zM8Ot27ZFm9/OnWa0j0yCqR9cgoatqqoxB2AFje8nXnd3jznLhxnNMfK0c5dZV+VwJU5TxKt2Ku3EuCFpbJK2Be0J+zg/758oLK6aKiurvRNGfUPfVMsxRogPw1jD4HWYeuEwC3WMm262L4z6kgqj+gbiGgYqHWc0bC4AACAASURBVJzesat24sSJ5ihNSxZQoeFdVNcw+o5oxYmkhU0Y8uCUxom+hoHMcUYHbtdRzdH/BL0G/BrGYCMM1kLw1YJFgpuDLyWMoOJ6bLyBSBjHvuXRJ0oYfVigS+dMbyWMo7IR9C6Z80EGw3if4EA3cE/lUsKIoRfWDAPzScgCd83s+Ha6lDCcUAn2TAkjGG7xsehI1DVIPCrBfw801yD0OanMLCwklDBiSIRFGFh8cGAQPv/dji5UwrDEL/XvwUYYfXK2SBoaGowqRvdhqEoq1VaQaIaBfJWXl5vBK+uqqV5KGDEEwyIMRmqcqocZpNsBO0oYqYrt0fiDjTBowLwzM9FEZEEJdePe0XpO5Q6cT0T35pQbFTlninNGPSc8pnopYcQQDIswSI6KQlfNx0lnqISRqtgejT/YCOPomye/U8JIjpGXECcqYdDPoGa86qqrjKGFzjC8SIvHMGESBlYf8+fPN+aUTi5ClDA8VoqHYEoYHkDyEETXMDyA5CPIQFjDsAgDIxw0Hqm4BLGKrjOMGBJhEgZpsY5x4403GusERjj2SwnDjkZq90oYqeFnxVbCsJAI53sgEAYloa9B/YlqKr4fClJSJYwYamESBpXEgvcjjzxiFpziK0oJI4ioOsdRwnDGxe9TJQy/iCUOPxAIgxkF6xZsMA1jdkGJlTBi9R4mYZDkpk2bjGUC3muVMBI3rlT+VcJIBb2jcZUwjmIRxt3xJgz6HNYssNbkJFA2EodxKWHEUAybMKgw0qRDozHaSUNnGGGIbl8aShjhYKmEEQ6OVirHmzCoz8WLF8uvfvUraW5udrXYtN7X67cSRgypsAmDCmNnZXFxsfHlQvrWpYRhIZH6txJG6hiSghJGODhaqRxvwsDwprW1VZ588klZvXq1Wcew3i2VbyWMGHpREAY7vS+99FLjT8huLaWEkYrI/jCuEsYP8Qj6SwkjKHLO8Y43YaDRoG3gnohFb/qcMC4ljBiKYRMGFdbT0yPDhw83J6zt2rXrSH0pYRyBIuUbJYyUITQJKGGEg6OVyvEkDPoe1iw4n4fFbrs63Hq/oN9KGDHkwiYMkmWnd3t7uxQUFPzgyFYljKDiemw8JYxjMQnyRAkjCGrucY4nYaCOos/hGGAWvu3qcPc39vaPEkYMpygIg6RhdxojJGExvRKGN+H0EkoJwwtKycMoYSTHyE+I40kYqL85b+Xiiy82borCMqml/EoYMSmIijDo0Do6OmTZsmVHZhlKGH6aXuKwShiJ8fH6rxKGV6S8hTuehIE7kJdeeklGjhx55Jhkb2+dPJQSRgyjqAgDXeLo0aONAzCsFphlKGEkF0yvIZQwvCKVOJwSRmJ8/P57PAmDXd3s/8JKk37N0mz4LYNTeCWMGCpREcZXX31l9IlXXHGFcRdiqac4prWsrEL27dvvVC+hPkOn2dXVLR0dy0JN1y0xdpa2tS0Qyh6msDrlp4ThhIr/Z0oY/jFLFOP4EMZe4wKEtVPaHgPTsC8ljBiiUREGnfXWrVtl0qRJZgMNv3WGEZ4YK2GEg6USRjg4WqkcD8JAFcXM4tNPP5W2trZQF7utcilhxJCIijBInlG2NbPgtxKGJX6pfythpI4hKShhhIOjlcrxIIwdO3YYH3bXXnut8WFHnYZ9KWHEEI2SMMiCjo2ZBhtplDDCE+PBQhhsnuJc5WnTpskbb7xhZpzd3d1GheCGhp6H4YaMv+cM2E6EA5QwoZ06dap88MEHjl6y/aHmHFoJI4ZL1ISBqdvkyZPlzTfflK+//lq2b9+haxjOMunr6WAgDEZ669atk1deeUXee+89GTNmjDF7HDZsmEAabmaPShi+RME18IlCGGwOZqF77dq1RywyXUEJ+IcSRgy4qAkDksjKypK77rpL1q9fb3Zh6qJ3QKm1RRsMhIFs0ZgbGxuNq2lOYuRAm1tuuUU43Gbv3r22Eh29VcI4ikUqdycCYVRX15pBCXLGOmlU14AnjLr6BtPYGKVF+WGU196+SFasWGnUBFHk1dXVJWPHjjUjgM2bt0hxSanZDR5FXvY0v/nmW1m+vFOWLFkaKYZWntu2bRd0uJgU01laz6P4hoj7yrbENJQo8rCnuWvXbsnNK5Cvvv46pbIxCvzTn/5kVFTonu15WPc0/qzsbDnttNPMPh7reRTfmGJi3VZdXSN79ux1fJ8w8yW/+voGs7EM0g8z7fi0kMHdu/cYmcQ6Mf7/KH7Pm9ci63p7+yUvjlLIzMyWt9562/itQzUVRZlIE9XqwkWLpbOrK7J+0v7uuDepq2tw5L8fOT3NzcuX+a1txiQUs9CoPouXLJWCgiKpqKgyHWsU+bQvXCitbQtk0aLFMndui3wxeYr5HUVe9jQXL14ipaXlUlhUEhl+9vzmzZsv2Tm5smBBuyyNsM7Ic+HCRVJSWiZFRSWyZGlH5OVDFid98aVQl0HLRn3k5OTKeeedJ7NmpRsTZDt+1v28lhb59LPP5D/+8z+lsLAo0rIxmKDeZsyc5fo+1nuF8b1k6VJJn50hjIzBI4w03dKgnlpb2yQ7O1daWlojzct6h6zsHKmvb+yXvBoaGuWtt9+R008/Qx544EGpq6uPLF/6rvz8Qikvr4ysn7Qw5Htey3zTtp24wZEw6AzozFeuWh3pp7tnhelUAb+nZ0VkeS1eskQKi4okMytbpqfNMKBHXbau7h7TMCsqqyMrl70MC9oXmtnT0o4OWblqVaR5Lu/slJqaOqmorJKeFSsjzYsyLlq8xNQb+bqVDeKqqq6WzKwsycnNlYbGRunu6THvxndRUbE88OCD8sabb8rCRYtc35v/xo0fLz/72c+ktKws0rKBHZ0Bcklnbq/PKO57VqyQnNw8aWpuFuQzijysNFesXCW0O2b07QsXRZqXlSeDs6bmef2SF53qq6++Jn/4w5Wmb4my/jq7us2gurqmTqhDq7xRfVNf5RWVTnwhjoSBSmrnzl1y+PvvI/18Y1RSCw1ZoJ6KKr/Nmzebbfsvv/KKpKXNlN179kSWlynD4cNy8JtvZNmyTlm8eGm0ecXqiGlkS8t8o5v/7vDhSPNENbRs+XIzSkXNEVW9Wenu3LWrTyX11VfiVjY2TmHgwFkEzz77rJSVl5s6QK6WLl0qb731lrz19ttGZZFI1lARse6FSqpj2bJIywZ2qMaqqqqNmtQqb1Tf3x46ZEbCq1evMdhElQ/pUk+7du+WlvmtpoxR5mWlPReV1LreSOvMymv9+g1mxlpTUyvsxQBb67+wvw8ciKmkOruMsUbY6cent3WrT5VUfUNjaKdFOdJU7GHUi95W3nSm48aNk+uuu07GjZugO70tYAJ+D8RFbzpfzKdXrFghq1atMmsD6H4ZLLzwwgsyYsQIY/aYrMi66J0MIW//D+VFb/T9rIdVVlaZARpljfIa8IveQ40w6OA4Aevll1+RyZOnKGGkKN0DkTAoEg3X+jAYgTg4X/kvf/mL2Y3rpWErYaQoHLHoYD0U92FQLsz1P/vscxkzZpxZ2I/CHYi9FpQwYmj01wyDCmW0CWmwyK6+pOzi6P9+oBKGvSRYcmVmZsqpp54qv/71r+Wiiy6Syy+/XK688kpjKYUqyOlSwnBCxf+zoUoY9CUcAX3hhRfKO+/82Whi/vpXnWEMKZUU4k5Fs+t7wsRJRtcfpd00+ZG+Oh/039E4xWDPRH5BkSF9L7ME0kBFtWbNGsnLy/vBh0Nu2JthP77XnqcShh2N4PdDlTBQR3300Ufy4IMPyYQJE1UlhYgMNZUUZYIwsJ2+8847jZoCu2mvnU+QZqOEEQQ15zhBCMM5peRPlTCSY+QlxFAlDKsf4VRPzMpRu0XZj4C1qqRiEtdfKimyo6JZFL1v2P1y7rnnSm1trXnmRfiDhFHCCIKacxwlDGdc/D5ldNzQ2GR2J0c9wx6KhAF+qGP5ZhNwQ0OTEgZCOFRnGOitx0+YKF9++aVxFRLlyEAJw2935h5eCcMdGz//KGH4QeuHYcEOy6hHHnnEWNuh7lTCiGE0dAljp7CLnZkGOu4oLyWM8NBVwggHSyWM4DiyP4fjV8855xzjvBLHlkoYMTyHMmHgfBC/Sxs2bJDq6mqz+BnFTEMJI3jjjI+phBGPSLDfShjBcCMWhySx+fOJJ54wA05+K2HE8BzqhMFuUEwuMbfklKwo9LlKGMEbZ3xMJYx4RIL9VsIIhhvrn6xdYGXJ+Sp9m0S3KmFYcA51wsBCqrOzU37zm9/IqFGjjIdXq+xhfSthhIWkGNNFv2a1QXNXK6mgyP0w3lBa9Gbtk309EIeljdiyRQnjSI0PdcJgxMqB7U1NTQJ5YK0V9qWEER6iOsMIB0udYfjDEXJgNvHiiy/K448/Lj09PUcSUMI4AsVQtpLaeeTEPUsYIAs697BJQwnDJlAp3iphpAhgLLoShj8cwYuD16655hpzWiPrFtalhGEhMaTNao8ShlVcPE02NzcLG3GYcoZ1KWGEhaSqpMJCUgnDH5LgxZoFh261tLT84FhfJQwblkNdJWX3JYXra45w5cNpdZaO0gZHoFsljECwOUbSGYYjLL4fKmF4h4x+ALz44Do/3gxfCcOG5YlEGHRGlutzvJsiIGFcShhhoNiXhhJGOFgqYXjHkUVujndmwRuyiB9IKmHYsDyRCIO1C85MWLJkiRw4cOAYwbDB4utWCcMXXAkDK2EkhMfzn0oY3qDigC3U1JyfU1paagxk4mMqYdgQOZEIwyo2HfyuXbuMnx2II9VLCSNVBI/GV8I4ikUqd0oY3tDDchLLqJtuusnMMpz6AyUMG5YnImFgZltVVSXDhw835nOpWk0pYdgEKsVbJYwUAYxFV8LwhiMDR2YY5eXlZsNevDqKVJQwbFieqIQxf/58Of30082Z0LhCT+VSwkgFvR/GVcL4IR5BfylheEcOknAiCisFJQwLiRPMrNYqNo0Ja4hPPvlE3n77beMGwPovyLcSRhDUnOMEJQwaPPWK4zhs6FnATDZz1J3eznXg9ynYD6YjWnlfFrezsrLMeiZ9QaJLCcOGzok4w6D4dC54oUSHGW9GZ4PH060ShieYPAUKQhgQAyQxduxYee2118ysEb00vxPt7lfC8FQlSQMNNsLAVxRqqEsuuUTGjx+f9MRRJQybCJyohGFBQGe/bds2s+DFPcLv91LC8IuYe/gghAH+CxculMcee0zmzJkjdXV1piO4+OKLpbKy0tHyhTdQwnCvBz//DDbCwIx2woQJcsMNN0hra6tZu0hUXiUMGzonOmGwgS89PV2uvvpqYW9GMjWGDbojt0oYR6BI+SYIYZApnRazRuue2eOzzz5riAM1ldOlhOGEiv9ng4kweFc0CrgB6e7udh1M2FFQwrChcaITBgSB23N8yIwePdp4S7XB4+lWCcMTTJ4CBSUMe+L79+83VnBXXXWV1NTUGO+j9v+teyUMC4nUvgcLYeAOCAtJPgwuaPteXAQpYdjkIzsnVwoKi6WisirSD4cZTZk6XTLmZElZeUWkeZVXVArlmvzlVMkvKEycV0WVzMnMkg9GfShjxoyTouKSxOEdcCotLZcZM9PNJ2ocST87J0+mTZ8hBYVFUlERbb0VF5dKenqGpKXNlPLySt/Y+MUjL79AxowdL8Ulpb7KhkxR188997zcfvvtctlll8vNN98iU6dOF8rg9B45uXkyYsRbctJJJ8mEiZMcwzjFC/LMer9JkyYL7tuDpOEnDvlNnjzFyHZpWXm0+VVUSV5+oUxPmym5ufnR5hVrf1OnpUn67AxfeREeX1HDhz9i2o5XeaYvoe+ijPQtfurBb9iSkjKZOWu2pM2YFXk/ybvRZgqLim2McPT2R0dvj97RQS7v7JTe3t5IP2vWrJXKqmppap4r3EeZ39p162RpxzIDeldXd9K8UF+sWbvWfJYu7ZDlyztl9Zo1SeNRhnW9vbJ69RpzNnp1da2nOKmWnbLRoXZ39wgHRKWaXqL4K1aukrq6eqFsa9euizQv3mN5Z5fQGaxYsdK1bJ1dXZI+e7Z8MGqUfPTxx1JSWiorV62Snp4V5rCsSZMmyauvvio33HCjcN/RsczxvZctW27+/8lPfio1tdHWHfLVsWyZZGXnSFd3cplMVCde/iM/jihuaZlv5NNLnKBhkEHqpLikTJYtX+6IddC03eLRby1Y0O4pL9oon48//kQuuuhieffdd6VnxUqhn3BL3/584cJFkpOTJ52dXa4yaQ+fyv2qVasNITU2NZv+KJW0vMSlL2FA4XQ5EsaJrpKygLJ04CyYTpkyxVjX8MzLpSopLyh5C+NFJcWaxLRp0+SZZ56Rl156yWy6wsWD/eLEtKlTp8qDDz5ojui1/2fdq0rKQiK178GgkuIds7OzzdGry5Yt81VgVUnZ4FLC6AMDgWIxbMyYMXLBBRfI+++/b357IQ0lDJtApXjrhTC8ZAGpzJgxQ+69915jPu0URwnDCRX/zwYDYfgv1dEYShhHsTCqlGQbV2zBA9+ywLRo0WJhynX4cDheYt1ehoWsHTuOPQ/DLbz1HMFnGsfiN8e5QiBKGN8Iar2Ojo4jVkgWXlF8ByEMFrmLiopkxIgRkpOTY+4h/N/97nfmN5ZwTpcShhMq/p8NZMKg7uvr680ZF25ykKzEShg2hHSGYQNDxJAE6gzchXi1pNAZxg8xTOVXEMJgIxbntn/++efy5z//Wd555x2ziz8/Pz/hjm8ljFRq6mjcgUoYyAUqZiwgkQ0OUAtyKWHYUFPCsIFhu2V2sWXLFiNwqDcSzTSUMGzApXgbhDDIEnLHXBKy50M6yUwmlTBSrKxY9IFKGGzQe++99+TOO+80Awp+B7mUMGyoKWHYwLDd0uEUFhaa9Qy+4xdVbUHNOeF9aht/i2n2NPzcQ2BtbQtMB5mIyPyk6RaWUdpAV0m5vXuy50oYyRDy9v9AJAxLO0Bb4ehVfge9lDBsyClh2MCw3TJrwGXII488Ig8//LDZBW77+we3OsP4ARwp/Qg6wwiSqRJGENSOjTPQCKNvvXSROfMGokiFLCitEoatzpUwbGDYbmkEqKVWr15tyCLRdFYJwwZcirdKGCkCGItOJ9nQ2GQsxJDPKK+BRBgHDx40jgWvuOIKmTlzppmFp1p2JQwbgkoYNjBcbvusrnZIU1OTmXUwgrFfShh2NFK7V8JIDT8r9olKGFh8YvRw4403mvVHCCTVSwnDhqAShg0Ml1sIAnfI+CZiwxidGqMq61LCsJBI/VsJI3UMSeFEIwzaIwM75AcPxUuXLk3qttwr0koYNqSUMGxguNwijCyc4f30rLPOMq607XpRJQwX4AI8VsIIAJpDlBONMGiDmM3yHfalhGFDVAnDBkaCW6yFMLPFfz7rGTrDSABWCn8pYaQAni3qiUIYtEMsGNlse9dddxm1sQ2GUG6VMGwwKmHYwEhwa015WQhnZ/GaNWvMh+eHDn0XMz1Vs9oEEHr6SwnDE0xJA50ohMGMYt68eeY8m5dffjmhNWNS0FwCKGHYgFHCsIHh8ZaNYZwF/txzz5kd4QcPWnsVlDA8QugaTAnDFRpff5xIhNHe3m52crPbX1VSvsTEeEJoaGh0jKTeah1h8f9w165dMnnyZLnwwgvl008/lb179+kMwz+MjjGUMBxh8f1wqBPG3LnzZMXKlXLgwIGkO/p9gxcXQWcYNkB0hmEDw+Mt1hjsIMXMtqqqyqxp6E5vj+AlCaaEkQQgj38PdcLgoK3hjzxiZhasKSZzA+MRNsdgShg2WJQwbGD4uMXUFhtv/Bcx48BVR3v7Qh8pBA+qrkGCY2ePqTu97WgEv2cdj1k2bSCogz+vuZMXXmcfe/xx+e1vLzAHZrHozfOoLiUMG7JKGDYwAtwykmOPBucuTJ06zUyRoxReXlEJI0BFOURRwnAAJcCj/iYMZhQjR440pyVu3rw50tkFcChh2IRCCcMGRoBba1Pf5ZdfIddee53Zr6GEEQDIWBRVSQXHzh5zqKmkKA9EgcEJloqsYXB2TX9cShg2lJUwbGAEuIUcEODi4hJ59933ZP369ZGPeHSGEaCiHKLoDMMBlACP+mOGgapr+vTpZq/Fhg0bpLl5rqzfsCHA2/qPooRhw0wJwwZGwFv2YSxevNTocNngx5oGI6Ew/Ng4vZIShhMq/p8pYfjHzClG1ITBLD4jI8OcoMheC9pXS8t8JQynyvD5bMeOHaJmtQGPaPWJ9ZHg2H53dnKM6TJDEpmZmXL33XdLcXGxmUYfCRjSjRJGYiBRXXCkLOeYsEDqZkGjhJEYR6//Rk0Y1B/1yRnt3d3dZmf3/PmtShheKyhBOCUMEdNBBDnTOwGuCf+KJwx2nt50000ybNiwSPSsShju1YGum07lqaeekmuvvdbgzwjV6VLCcELF/7MoCIM6Qw3V1tZmvlH70s4s8lfC8F9PTjGUMI4zYVApdFoIeklJidlJyW8aAA0rjEsJwx1FOpmPPvpIbrvtNrnkkkuM+xa33b9KGO44+vknbMIgPdyUT5kyxZx42dDQcIx6VwnDTw25h1XCGACEQfVAEHxY09i0aZMsW7bMmNy6V533f5QwnLFi9Imu+9FHH5UJEybINddcI2vXrnV1F6GE4Yyj36dhEwbtpqamRs477zx58sknzSFQ1szCejclDAuJ1L59E0ZJSZmsXLnK2BpjDRDVZ+PGTVJX1yBUNB1oVPmQLrbZPT0rZNas2bJ69ZpI88KD7YYNG42ZHwYE8eXq7u6R559/Qc4//3yzK3XVqtSxpmzl5ZWyZs1a40E3Ps8wf/f2rpemprlmYWzTps3HlC/MvEhr1arVkjZjlqxb1+urbFinLVq0SO655x7JzMwyG7ouu+wyM9Ojfpzec8WKlTJlylT56U9/Kk1NzY5hnOIFeQZ21FtuXr6sXhO1TG4V8issLDKbSd3KH6QcTnE2b95i6g2ZBFOnMH6e0X6XLu2Q9PR0s7gN6dPO7GmUlVeYMPZnUd2zNpmfX2jKSFmjyod016/fIDU1dabcUfeT5Ef/RL05XY6+pAoKiqS+vtFY+LBTM6oPVg1zMrOluKRUWlpaI8uH958/v02qqmokLW2m1Nc3RJpXa+sCmTevRXBVkJtXcExe5D9t2nS599775JlnnpGqqupjwvjFnLJlZmabTry1tS3l9BLlD1kgIzm5eYbsE4UN47/a2nr54osvjdmkW9kaG5ulsLBY0tNnS0ZGprnPy8uX++67T0aMGCFFRcWGCC6++GLJzy8w9eP0bjU1tfLBqA8NYcyenREpjgyU6urqYzLZH+2tVWbOmi2lpeWu5XfCJMgz6omyZWblCJgGSQPChujffLOv/ubObRE+4EYbi09zzpwsKS4uPeZ5fLgwfldWVkn67DmmjG4yGUY+pMH+kry8AvOJup8kP9obMuJ0ORJGdU2tYUxMQKP87N//lenIly/vNO40oszr668PCDMaRgXbt2+PtFwHDhyUffv2G7PaBQsWOubF+zAC3rZtm1nAQ6W0des24yY9CA6MPGhgLOzjfC1IGl7j7N69RxYvXiILFrTLV199HWlevBO4ZGXnGpzcyobJ8siR78vNN98it99+u1E/TZr0hXEGWVdXJ0uWLDEzDJxD1tfXm9Gp07szwpqdkSGnnHqqmZ14xSRIOPJndFpeXiHbt++IHEfyq66uMbMa5DPIO3uNQz0h2wwuKKPXeFY44tM+MFRg3Ql1FEcIWP87fXNeObNRp//CfrZ27Toz0KOMbjIZVp64WIGUmGHhdiisdN3S2bhxo5nReCYM3YfhBJW/Z3YrqWQx2cnMIh46dhZogyyEn+hrGPgOwhIKlyxYpNHB3HHHHfKTn/zE6L0vuOACOfPMM+Wf//mfje1+UVGRaXjxdaNrGPGIBPud6hoGaxYLFiyQ66+/XhobGw1ZJHsTXcNIhpC3/32vYShheAM2USg/hMGogVEvR72+++67ZoNforSd/jvRCYMFUDCHOPiw7wJMGC31rSltMBZqrGFwVgKj1fhFU3BVwnCSLv/PghAGcahDRuyYzFKPdF6MhLEqTHYpYSRDyNv/ShgDxErKrboYTVFJOTk5kpeXZw6tdwvr9vxEJww3XKznYAxRcGQnbiT47XQpYTih4v+ZX8KAEJhdjxs3Tp5//nmjQvRCEvY3U8KwoxH8XgljgBMGVUsDszYiMcJiTWL+/PlmV7KXhqOEkbiBgCGWNuz0RgXoNLsgBSWMxDh6/dcvYTCzYJbNGhNWbaijvMi9/X2UMOxoBL9XwhgEhGGvXjp/Tu/77W9/axZqUZ8ku5QwkiHk7X8lDG84JQvllTAsFSKDJNagxo4dK6tXrzaDp2R5xP+vhBGPSLDfShiDjDBQl6xZs0Zee+0140qE+2SXEkYyhLz9r4ThDadkobwQBjMIZhVz5sw54tGZWTbPie/3UsLwi5hzeCWMQUYYNBZ2g7NYu27dOrOAy8I4v5m6OzUmJQxn4ff7VAnDL2LO4ZMRBkYJZWVlxs3H8OHDjZw7p+T9qRKGd6wShVTCGGSEEV+ZjLiWL18uDzzwgPGlA3HEL9oqYcSjFuy3EkYw3OJjuREGcos8QxgYeDz99NPGpBw/UaleShipItgXXwljCBDGihUr5IknnjB7CqZOnWpMDu3ioYRhRyP4vRJGcOzsMe2EsWvXbkMSzJJx1YJbD0xl+c05FqxjhHEpYYSBohiLTT0P4ziehxFGNTIqw+zQ7u2WZ3xonEoYYaCsVlLhoNhn9ccOZVxNQAoYbjCjuOiii+SNN94w8hpWXlY6ShgWEql96wxjkM8wqH5IAXKwNjEx43j99dfNofe4J+BD42TURtgoL9ZXuro4HKrDvFOUeZG2nukdDsLID+4zWBdjLSzKyz7D2Llzl5FP1E/49cIaKl6lGsa7KGGEgaLOMAyK2N0frwOUwqnGH6bCOsbo0aPl0ksvlS+++MJYVSlh/BCjIL9U27gAMwAAF39JREFUJRUEtWPjQE6Yx6bPzhAGNwwy+M3+Ikxoo7iUMMJBVWcYQ2CGES8KmB/S+Dj6FTUVTtdwLMfiOI3TbWNafDpBfusMIwhqx8ahU0XNWFNb58lX0rEp+HvSXzMMZi/MYp577jlzyiSms1HKo4WCEoaFRGrfShhDkDDiRYKzDkaPHmPODWeHOKO4qFRTShjx6Af7PdQIAzUTH9Yr2FtxxhlnyLPPPmcOClPCCCYjxPr220OyZMlS6e7p6RcVsBLGCUIY77//gZx99tnGK2tra2skemIEWAkjeOO3xxxKhMHghBMke3p6jlhALV261Jyrg0FGf1w6wwgHZSWME4AwOOOj7yCmNikoKDCqDstjK4vGdE5hXUoY4SA5FAiDMrCeNmrUKHNuBcenoiplRoE5Lec4oHbrj0sJIxyUlTBOAMJgFNfa1macFWJJRYOl4b7zzjvywgsvSEtLS2h6ciWMcBrmYCYM3p21Cmst7cEHHzQWUJac2a2klDBSkxdVScXwQ9+5aNFis2B7+HB4I2Cn6qEDHUpWUvFldNqHwYllH3zwgVFRsUucU+nAAdxTWd9QwohHP9jvwUgYvPO+ffuMcQUnGSJ3EAeyxtoF/3MpYQSTCadYShgxVJQwnMQj2DMnwiAlZhscT9rU1HRk9oEdPOoqq3H7zVEJwy9izuEHE2FYAwz2+bCgfcopp8h1111nzhhxKp0ShhMqwZ4pYcRwU8IIJkBOsdwIgxkFagM+uGDgCNNzzz1XrrnmGpk7d65ZwHZKL9EzJYxE6Hj/b7AQRl/nv9cMPpAhDqL68ssvzb4Ktz0VShje5SBZSCWMGEJKGMlExfv/boRhTwHy4BChjIwMeeihh6S0tNSQCPVAw+d/L9dgIQw6ZBb82QXPwiwfFvQgT2vEHF9e3bh3FBFUTWDGKXjIS3V1tZEX6h+1FDi6XUoYbsj4f66EEcNMCcO/8LjF8EIYxIUUUFP19vYanTONf9WqVfLpp59KbW2tYG2VjDgGC2GgPmEkPHLkSLOW8/HHH8uECRNMJ+imjjvRCYO6h2QZQPCBJP7whz/I/fffL21tbZ5diihhuLVU/8+VMGKYKWH4Fx63GF4JIz4+nUJjY6OcddZZ5njMiooKM3KkblA/OHWsg4UwWOS/8sorzUFUaWlpkpWVJcXFxYYUKZ/TdaISBh089Y1l3aRJk6S8vNwQB44DWf8CS2YcXi8lDK9IJQ+nhBHDSAkjubB4DRGUMGjYqBZQPeBNlHToODZs2CCQB+qc+BnHYCEM1G+cEU05GDXT4SFzlNntOlEJA1wWL14sV199tZx00knGoyzkAVYMGhJh5oQl4S1vtWpW64SQ92dKGDGslDC8C02ykEEJg3Rp3NQFsw06Vcu1wznnnCM33nij4GrEfg0GwoDkOHeBne+FhYXGOSOjZcqZ6DpRCAO1JB05prF4BeAAIz5gtXDhQjPToJ6DXkoYQZE7Nt6AJ4zCohJpb18o3d09kX6WL++UoqIS43yN+yjz6+zqEnaCzpyZLgsXLoo0r67ublm2bLlUVFRJWVl5pHlZmFG2goIis68F1+PW8yDfi5cskcrKKnnp5Zdl2LD7JTc315Rn3rx5UlZeLjW1tVJUVCylpeXS2dmVUl5e3m9Be7tMmTrd+NPxWjbeq6q6+sgRoLjWfvXVV80C7ty584wbC6e82fw4esxY+elPf2bUV05hwnrGO7YtWCAZGZmRyyTvvLyzU7KycqS+vkGam+fKu+++KxdffLG8+eab0tIyX2iDixYvNt/IcCrlpJ7oQ5BJvCinkpbXuHn5BdLQ2NgveSFDYLmgfaFx9e/1HYOE6+hYJiWlZVJZWW3qMEgafuK0ti2QsrKKY5lLRH7k9DQnN0/qGxrNzmEaUFQfhDQzK9uQBvdR5UO6dKg1NbUyefIU4TSpKPPCHcK8eS2CAOfk5EWbV6x+KNvsjExz3gH5p1y+1jbTibC+QefS2NQko8eMkcuvuELuu2+YfPLpZ5Kdkyc0HOoOfFPO00XW6uobZPyESeY93MrW1NQshYVFMis9XWZnzJHS0jKpra2TtBkzZPr0NJk2bbq89957cv7558tLL70slVVVju8LGY4a9aH853/+p8yZk+kYJqxytsxvldq6epk2LS1SmWyeO1fKKyolPX22jPrwY8nNy5eSklJ59tlnDVnk5uaFnv/81jZDTJAh9RAWZonSSZ89xwzQEoUJ6z8GVGkzZpoyUtaw0nVKhzaWnZ0r+QWFpq05hQnzGTLJpMHpciQMyCKMM3adMrQ/U5WUHY3U7lNRSXnJGT02Kp309HRzcFNa2gxZvHiJMVPFlXUqGwGT5c/6Q35BkbHuctOls9bCrnY2k/3xj380psPxKhXen01nt912m1FXOeU7FFRSqOOoL2vtAWzGjBljTrv7wx+uNIMZPwvYTjgle6YqqWQIef9/wKuklDC8V6ZbSBpkZyen0i1zCxLq86gJgw6ADghiYC8Daiv8BmGq+otf/ELuuOMOY4IZaqFiiXkhDAYfrL3wbhAD6zHx5AJGWErdc889xqzY6V0HO2FgsICbjgULFpi1CHAAk2nTphkSzc7OkZUrV/qyeHLCKdkzJYxkCHn/XwkjhpXOMLwLTbKQUROGPX9r0RsdNQukkydPlg8//NC4IGF0W1ZWJh999JHZ10HnHW9lZU/Ly70XwohPB8svXKBMnz7dmA2z/sL9rbfeamZJbjPowUYYdMwMTljE5r6zs1NYr8FYgRkXJAoWfFMXqIfWru3fI1rVSipeOv39VsKI4aWE4U9wEoU+HoSxdGnfmd7MOtgkx+gWcpg5c6Y5aQ3VEDb8zEzYEMgRnZY9f/zoP1HZghIGnSd6+scff1weffRR880GResdnPIcTISBqqmhocHMHoqKigz+bMhk1jdr1iyDt10tRz0cjzO9lTCcJM37MyWMGFZKGN6FJlnI40EYHR19hGF/N4iADgJ11ezZs80on46qpqbGuJd4++23zfGd1D0fOjQ+hHEjkSCEwTuRJi4sICrUME57Suzvzv1AJAxwASNmCBAvZeJi1sTGxDPPPNMsXkPaiS4ljETo+Ptvy5at0tDQZPaauMmtvxTdQythxLBRwnAXEr//DBTC4L1pQHRO1K+ljkJ1hark97//vRkR07mxsQ71FS5J0Lu7LcQGJQzrXXgHPl4a9kAkDHBkJoGa6ec//7lRNVEeMOzq6jIkAnbJyqeE4bdVuYdXwrBho4veNjAC3g61RW87DIx2sbN3mmHYw9nvWXxFFYRFFSNlOi+O9KQTZIMg6isIBF38xo0bza5jRtPo31MhDPs7eLnvb8LgVLry8gqzMG3NuFiwfvjhh+X66683LjrACqxfe+01Y+W1YsUKQw6QBnH438ulhOEFJW9hlDBsOClh2MAIeKuEkRw4VETsNMbPE+au1m5jHARCJGwsIwzEMWHiJKmsrDQL68ymorqiIgzkAeJjJoXKDiLkm/WeBx54UMaOHWvKCmGyOM8Jdm+88YbZhc3MgXUiyk0akESQSwkjCGrOcZQwbLgoYdjACHirhBEMOPTzjLAhDTzNMuvg8/zzL5gzo2+55RZjmcXomlkLKpnly5ebMHSIfOhU6VxJi3Bc1AeL8nwnUt34IQzSIU3eg1kXv8kfImAmhWsS/uMdID6I4IknnjAkwTviv2vYsGFyxhlnmL0t+O/i/SgvsyzS4XdYlxJGWEiKKGHYsFTCsIER8JaGPpT2YdhhCKKSssf3e09n+/Enn5qd5pAIKhk6ajrkX/7yl3Lqqaeas8sZhdNBYyE0YsQI0zETjo6cWQqHRxGXUTydOB0oZSEOI36eMcvJys42aeKMj9E88fmPsMS1SIf/CMPMB39bPOd/Zg3MkPigSuIdCHfBBReYNZypU6caFRTpQXYlpaWG5Pzi4je8EoZfxNzDK2HYsFHCsIER8FYJIyBwDtF279ljXCOwAY2FXrC1OnAIgAX1np4e07nT+Y8ePVruvvtueemll0xHTEeJeS9uQX7yk5+YDYaQC0fXsunwX//1X2X48OFmMx+jexbn//7v/15++tOfSlVVlenwsbQ6/fTTzaLzF198YUiENLD6wlLpqaeeMjMayAHrJfZAcPCQtZgPObB2Qxl4R8iGD+fMV9fUyL79+x1KHu4jJYzw8FTCsGGphGEDI+CtEkZA4Byiob5xcg1iqYCYHYA3v+mEUfVgRsvBUPzHcxbcWS/BGyukQHhmHSUlJWb9BDNgVFh06KjDfvzjH8vEiRONm3c6Wt6BvQ4FBQXGVJg0SYN8OFiImYI1S4HUSAeCsJ45FOuI+qqmts5srHMKE+YzJYzw0FTCsGGphGEDI+CtEkZA4ByiuRGGQ9CUH/lZw0g1Mzpw1imUMFJFsi8+DjDXb9gQTmJJUlHCsAGkhGEDI+CtEkZA4ByiKWE4gBLgkc4wAoDmEkUJwwaMEoYNjIC3ShgBgXOIpoThAEqAR0oYAUBziaKEYQNGCcMGRsBbJYyAwDlEU8JwACXAIyWMAKC5RFHCsAGjhGEDI+CtEkZA4ByiKWE4gBLgkRJGANBcoihh2IBRwrCBEfBWCSMgcA7RlDAcQAnwSAkjAGguUZQwbMAoYdjACHirhBEQOIdoShgOoAR4pIQRADSXKEoYNmCUMGxgBLxVwggInEM0JQwHUAI8UsIIAJpLFCUMGzBKGDYwAt4qYQQEziGaEoYDKAEeKWEEAM0lihKGDRglDBsYAW+VMAIC5xAtFcJgRzab43Adgi8p3HbgL4rO0+nSjXtOqPh/Bu579+6TtrYFBn//KfiPoRv3/GPmFAMvBQ0NjU5/yY+cniphOKHi75kShj+8EoUOShiQAu4+srKyjG+pq666ypy7wTkcuOxwupQwnFDx/0wJwz9mbjH0xL0YMvj9WbRosaxatVoOH3Ye8bmB6Pc5zupw9FZWViH79kXv6E0Jw28NuYcPShjEmzJlitxxxx2Sm5trXJ7jBJC6oUNzupQwnFDx/0wJwz9mbjGUMGLIKGG4iYj/5wPpiFb/b584RhDCQLbwMHvhhRdKfn6+IQtmHHRkbmTBWyhhJK4Lr/8qYXhFKnm4AU8YFZVVxokXDTXKD948m+fOk8WLlxjPnlHmtXv3Hlm7dp1kZefIxk2bIi0X5dixc6csWNAuLS3zI8+L/Diwp66u3nhi3bMn2nrjfIq2BQtM2VgfiLLeSHvDho0yOyNTtm7dZtYfvOS3dds2c87EySefbLzOvv/+B/Lee+/J7NmzjctxjkZ1Sgd35DNmzjRuzPFC6xQmrGdg19vbK8XFJbKpH2TSOg522bLlR07vC6ss8emwTsQhUMhkb+/6SHG08saJY3d3T7/khZfi0tJyU0bKar1DFN/bt++Q5ua5snDhInGT2zDzpZ+sqqpxZDLHNYy8/AKprq6RuXPnRfppbGyS9PQMKSgsksam5kjzAvDSsnKZNn2GASPqsjU0NpozHCCoqPMi/bKyctOpVtfUGhKOMk86gdy8fMnMypamiOuNclRWVsnESZNN59M8d64jnvX1DVJaWiY5uXmSl5cvubl58peRI+Xf//3f5YYbbpRbb7tdrrvuenNq38j335fyikrHdDhf+y8j3zfnZqTNmOEYJixswa6yqlqmTUuTqn5ob+SXNmOmFBYVm0XNsMrhlA7tjbJlZGRKebkz1k7xUnmWPjtD8gsKI60z6/2QtZmz0k0ZKav1PIpvZDs7O8cMdqPuJ3n/yspqKSkp804YZeUVsnLlKjOiY1QX1YdRVV1dg7Gk2LRpc2T58P6bN28xo4/MzGxZvXpNpHlx9gKjq7lzWwRSjAo/e7qMrGiga9asNcdH2v8L+54RI4LV0NhkcA07/fj0kMVZ6RlmNI45Y/z//O7pWSEffvih3HPPveaMbM60GD9+vCEMBj/MUjhsacaMGebAo9bWNsd0VqxYKVOmThVmJlHXHedykB+dXPQyuU1oY8XFpWakinw64RjWM+qJtcmqqmqDe1jpJkqnoqJKFi9ZGmm5rPyZpRUVl5gyusmkFTbVb47uhTTQVkTdT/Kupi+prPZOGHX1DUZF9P33HGMZ3QdLlfb2RabRcB9lXui0t23jwJwyQWUTZV7oyr/55ltZvrxTlixZGnFeffXDYUCYFWIVRP5Rlu/rrw8cKRsLyFHmRdq7du+W3LwC4YQ7t7LxHyaz2dnZkpeXJ62treawpN/85jeGaKj//fv3y9y5c80xqagUnN4bNSlHtHK6HtZUTmHCegZ2rD1BaKgUwkrXLZ1Dh74zHc+aNWvMcbNu4cJ4jhELauD589ti60fR9SPW+85rmS/rensjx5H86LjpxCkjsmW9QxTfBw9+Y4yDOru6jXVfFHnY06SfpGxOl6NKSs1qnaDy90ytpPzhlSg0nanTiXv2OBAJ52lDmBADp95xnva5554rpaWlZgDESXxpaWkybNgwc5KePb51r4veFhKpfeuid2r42WMP+EVvJQx7dQW7V8IIhptTLC+EER+PDotFZc7V5rxtzGtRU91///3mmFXSdLqUMJxQ8f9MCcM/Zm4xlDBiyDCV030YbmLi77ma1R6LF7MOZhqcxf3iiy/KG2+8IZWVleYZ+3KcLiUMJ1T8P1PC8I+ZWwwljBgyShhuIuL/uRKGO2aQg/3jHlL3YSTCxs9/Shh+0EocVgkjho8SRmJB8fOvEoYftNzD6gzDHRs//yhh+EErcVgljBg+ShiJBcXPv0oYftByD6uE4Y6Nn3+UMPyglTisEkYMHyWMxILi518lDD9ouYdVwnDHxs8/Shh+0EocVgkjho8SRmJB8fOvEoYftNzDKmG4Y+PnHyUMP2glDquEEcNnqBNGV1e3dHQsSywNIf2rhBEOkEoY4eCohBEOjqSihBHDUgkjPKFSwggHSyWMcHBUwggHR1JRwohhqYQRnlApYYSDpRJGODgqYYSDI6koYcSwVMIIT6iUMMLBUgkjHByVMMLBkVSUMGJYKmGEJ1RKGOFgqYQRDo5KGOHgSCpKGDEslTDCEyoljHCwVMIIB0cljHBwJBUljBiWShjhCZUSRjhYKmGEg6MSRjg4kooSRgxLJYzwhEoJIxwslTDCwVEJIxwcSUUJI4alEkZ4QqWEEQ6WShjh4KiEEQ6OpKKEEcNSCSM8oVLCCAdLJYxwcFTCCAdHUlHCiGGphBGeUClhhIOlEkY4OCphhIMjqShhxLBUwghPqJQwwsFSCSMcHJUwwsGRVJQwYlgqYYQnVEoY4WCphBEOjkoY4eBIKkoYMSyVMMITKiWMcLBUwggHRyWMcHAkFSWMGJZDnTA6O9VbbRjNZu/evZJfUCQHDx4UOqIoLyWMcNBVwggHR1JRwohhqYQRnlDpDCMcLJUwwsFRCSMcHEllwBNGVXWNrF27Tnbs2BnpZ+vWbdLcPE8WLlwkW7dtizSv7du3y6rVqyU7J096e9dHmteOHTtky5at0ta2QObNa4k4r746Wr16tdTW1cv6DRuE/KOsu02bNklra5sp27bt2yPNi3KsW9crczKzZePGTbI94rIh97NnZ8jZZ59t6i9KHLdt2y5r1qyR4pJS6V0ftUzulG3btkl5eYUsXdph5DPKslFP63p7jUyuWbM2chmhLDW1dbK8s6tf8uru7pHSsnIjm9u3R9veNm/eIk3Nc2VB+0JTh1HWG2mvWrVaamvrHRnvR05Pyysqpai4REpKyyL90FAys7IlNy/fNJoo8ysuKZP8gkLJmJMlBYXFkZaLcoBfdk6u+URZLittypaVnSOFRf1TtpzcPMnOzo283ihfQWGRzErPkMKi6GUyP79AvpwyVV559TVJn50RqZwg/5QtY05mv9Qb+c3JzDLtrai4NNKyWfWGTCKblpxG+Z2ZlSM5ufn9kld+fqEZxFB/UZaJtO19CXUYfX6lUlvX4EQN4kgYjiH1oSKgCCgCisAJjYASxgld/Vp4RUARUAS8I6CE4R0rDakIKAKKwAmNgBLGCV39WnhFQBFQBLwjoIThHSsNqQgoAorACY3A/w91A8gj7NmA6gAAAABJRU5ErkJggg==[/img][br]Was your estimate close?
One vertex of the equilateral triangle is in the center of the square, and one vertex of the square is in the center of the equilateral triangle. What is x?
Find the area of each square and estimate the side lengths using your geometry toolkit. Then write the exact lengths for the sides of each square.
Complete the tables with the missing side lengths and areas.
Plot the points, (s, a), on the coordinate plane shown here.
Use this graph to estimate the side lengths of the squares in the first question. How do your estimates from the graph compare to the estimates you made initially using your geometry toolkit?
Use the graph to approximate [math]\sqrt{45}[/math].
IM 8.8.2 Practice: Side Lengths and Areas
A square has an area of 81 square feet. Select [b]all [/b]the expressions that equal the side length of this square, in feet.
Write the exact value of the side length, in units, of a square whose area in square units is:
Square A is smaller than Square B. Square B is smaller than Square C. What is the side length of squares? Explain how you know.
Find the area of a square if its side length is:
Here is a table showing the areas of the seven largest countries.
Here is a table showing the areas of the seven largest countries.
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[/img][br]How much larger is Russia than Canada?[br]
The Asian countries on this list are Russia, China, and India. The American countries are Canada, the United States, and Brazil. Which has the greater total area: the three Asian countries, or the three American countries?[br]
Select [b]all [/b]the expressions that are equivalent to [math]10^{-6}[/math].