Maths Methods 1

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Probability

Probability=number of successful outcomes/total number of outcomes

  • Probabilties always add up to 1
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Relative Frequency

Relative Frequency = number of times event happens/number of times it could happen

e.g. number of times toast lands "jam-side up"/total number of times toast dropped

       if lands "jam-side up" 8/10, relative frequency = 0.8

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Indices

x (power of 0) = 1

x (power of -1) = 1/x

reciprocal of x = 1/x

a (power of m) * a (power of n) = a (power of n + m)

a (power of m) - a (power of n) = a (power of m - n)

(a power of n) power of m * n

a (power of -n) = 1/a (power of n)

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Recurring decimals and fractions

decimal - fraction

e.g. 0.33333...... = 1/3

e.g. 0.666666.... = 2/3

fraction - decimal

e.g. 1/9 = 1 divided by 9 put in bus stop as 1.0000 / 9

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Rationalise the denominator

multiply fraction by denominator/denominator

e.g. if you have 1/square root 2

do 1/square root 2 * square root 2/square root 2 = square root 2/2

write example below:

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Direct and Inverse Proportion

follow process below:

e.g. if y is DIRECTLY proportional to x...

...use pair of values given in the equation y = kx to find...k...k is constant (a fixed number that doesn't change)

substitute into the equation to find any missing values

e.g. if s is INVERSELY proportional to t...

you write: s = k * 1/t

...use the pair of values given to find k and then use what you know to find any missing values

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Surds

 a *   b =   ab

a /    b =    a/b

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Circles

equation of a circle = x squared + squared = r squared

practice this on MyMaths - algebra, graphs, equations of circles

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4+QtIRIKa2sceXV02uVnBL85f+Oy8CxQ/wenbMhp0z++R/GQianBnc//JH0HN7b7+/Hx1sOy7zHA7cDCCGEEH+B7QQB0peda3qu6lHivuwrDKHHBFWIfWqmYcOGWXu4wUhF+z44Ds4xvtCz/0NT1HYk8mBXXn/99SphGXkA+2BfHKPzvAGtr19ao6jqLzjGn9ixDQopYpB6AkY4DGK7pyqAV9Qll1wi06dPDyh5myzKqS4QUO2KOvLefvtt1ZBOCefAA4aYrQDHIzzAF1980WxIKcRcXw/UlzsPS2VVteTvipCVo3fJp79/TjaP2iXlWxPkvUu+I29ef4vUHk+ULRfslJV/eFHWj3ad46i7ziu+dJ6Qq6OByAwvXVPkccojoY9535B0h4QOqHv37mrZU74JhEB85ydOnGjlnDyc7M82hGP8gcS9dYqZjTxswz4QQNsKjBgw/1b4M9kgwAs3vODA35VZs2bJz3/+c5UAXo7ddNNNQfEihzh6uKRa+qdEN6w/9WWu3PTabrn1rb0SGY46i5z1i+Uy/mdL5Ghhlfzw0kES0SVMnK4Ew15mz54tf/rTn6ycpiDW7A033KBeEPoLyrzjjjsCOkYTavUxaUk56I9wPTg2UHRbzJw5syE5vVgw64X0zW9+s9XX2lnZuKlE6rpkSklVjcz8okJGfhkhk1akyODsTTJxxJdy4cT10m/wfrntYFcZXxIn9++LEYmol7eWFsqhI837lbLicvnVbX+QF/+y2MppykdvrJSf3fRrOby3aQgok2CUYQdl/mHu4wEd4y+6vj++Zl5D2vrFdmtrU3D+h29/tFX1CEYZbU1btLdZZnu1wcrPD0p+RUTA34+Fi7fJnv3NbZ/8vAKZ2H+y/PC2n1g5TfnHn56SUd3Gy9YNbkcRJ4JRhh2UOT374oCO8Rdd36zYIQ3pw7eXWlubgvNPGjy1VfUIRhltTVu2tzfWfbpelr/3kVS77FsNlpGHbYSQzgE0Lx1T1Z94oBBXoe3BQRJ2oV3js3PGGWeo+TMwMjEQMHrw1VdfVU5svoD4ipn/r776aitHZOfOncorNjo6WiUsI0+DfXGMP8IttMHk6KZOAMMHJaiksa8DHOPPRPeqBREfFYawEzAsYIDDU9Vf47i1oC6okwnqgIC4JnANRixXzAbmLZmernB9hrgKw8oUFlC2L6Ehr6hSDufWyKGCWnnv3mfk5W89Lw/MfUlGbkuST8vqZXNxmPQ/ES0v/PE/8t4P3pQlP3tF5HiSq6L1ciTP+82AJy2Gp6KNH330UeVFCRduuFgjcO8VV1zRZB0PkPa0RGwJ81gAz10I2MhDwrBaPHCPP/64El80cKG2D6+w52Ho+He/+12VsAy0Fx7a8Uc/+pHahjckvraZONUf9cQ16HpjWV8LtmmwjDx0Iv6UoUG76XzdhvZ21djvCXBqVzue9oFgpMvzdKzde9a+rkE+xEGzvk73EuB+420OhoKbeMrHdx5erZ68VfX9RZvff//9ah33Qd9rnYfy8bzpZ0d3eOa+Zr4uF9vt607n9Kd8va/G3kae9jXz4T1prweWgX3d/l3B9ocfflhtx346zzwGn97a4/3332/Y5vQ9ail4Bu2gTRELdd68ec2SPzFSFyxYoDxO8R0wj/3Nb36jtmPb3//+d7XshBa87N62pqgaDEEYVz4gJVo2nbCejfp6+cbYdHlmRn9x+6S69nB93D9zqEwfkSE1dXWSlel9AhLUEffSLsZBsHvlFdffAh+0RHD0RqjVpyXgXuN7iSFF/oSQ8ATa4rHHHpPFixerhP7NGxjBgrff+AyFdmhv3v+4vMWjc95dWmiV0pSYeFd5h443E70gjC177WNrzTutLaMthD1voL5z/3C7/O7FeerzjWffU3Ww06NfN/npX+eqz5YSjDKCTXu3d3u1wb/e3t3i78ezrzmLZonJibJnR04zUQ1i24JH/2Gteae1ZbS3sIf6vrP6dckp364+H7r3N6oOdoaNHiordyxTny0lGGUEm44SUu0UFRZJUX6RrFy6SgmqSFhGHrYRQjoHEFUxAtUfUVWDEd7wXIW4CodFb0Avueiii5SwihGvdq3ODmxGhApFaAKEpoMnaygyKTtVJY19PRC8S9OdAE+CsC8gyPp6gOxU1dRIbmGx1JXXyBe74wTm/b6cNCmNr5ZyV1Mecxnj5dG1sm2ny/h3bfsyx2UIRtRIeGSE13oWFhbKP//5TxVEGCIOhmgDiGmY+QwCHzyMzHXsD8xjkT9//ny1H1y78WXBNSI5BfWFcAMhQ8feBE558GzSQ8fxZdKCEEJDIG4thKP77rtPndOfbSb2a9dDlVFn3Rao0w9+8AN56aWX1DaAZeTBu9mfMiBEAuyHfMTURf1QJ1/tapbhq10hKOH86EDMfXDsxRdfLP/+979VHs51++23NxNM/QFte8011yiBStfX6b5ptJBgF0qd8tEJYqi8OYzbCdQBwu6vfvUrtb5w4UKZM2eOek5uvPFGWb16tRIxIYbo8AIQiFFPxHe95ZZbVB6eDUx05PRs2DHPCa/Lv/3tb6qTtpfvVBdgbyNP+9rrCFHG3yDc9u8KhOuf/vSnqt64Vmw38dUeuGbEmcG2O++8U/3h8wbaBeIj7qMWaE2Qh23YB/vaQd51110ngwYNsnLcYB35Tsdo8Ozjj6cvPN1r1MuTt60WVbEPJrFqvbhaL9/MzpDffnJEtpyoUDmVtXXyh1VHZVy3WDXkH8LzrAk95f5ZwyQyvIv89o0drqO8v1yEBzi+2yYIR4P2M+N3txehVp9AwQtPfN/vuusuK4e0BwcP1bR4dM7Wne7vkxPp3dJk54amng77duyXXgN6SnK6fxOoBqOMjiA5zR3nrNDHS3YS+mzfXdDi78fnG5uHItP0yeotK5Y0Hcq49tN1Mnr8KOnWw79YlsEooyPo1ssthh892D4iPGlk0rQzJSk1qUFc1aIq8rCNENI5QMjLrVu3KkcYE6ybyQTrmNcI4f+cHG7sYJIqOC1iX2hTnkZ7Q3SFlyo0Boi9/sZjhi0PbcN0ABkwYIAa0YjR80hYRp4G++IYHOsLxJwtrHSOne6NItcx/syLooRVJw9RDUQIGDcQWyAItQdOHrROHqUQR7EvxC5vyYyJADdeiCcIcgt3Yg3KtnvE2kmPj5a8wgKpiyySmffMlHHX3CFPPHqR5PQtkRFjc2XwqAI5klwtP/jp1WrbXb+7VOIHlktWz2QZ3NOzEQsvWgiiGP6KyYKw7o/QBMxj8SYBnpL79+9Xk8TgQTO9NfHAQZzR4gg8cOzCmlMexBh4y/3whz9sIjBB1LzyyitVeRCOIE5CkPS1zcR+7dgPX25gtgWWIUJCoETC/cIXG/hbBoCXKDoDCH7eRCB7mboMp3Y1gZh4+PBhufnmm60cNzgWZaAsYN6rQPnGN76hhFtT1HW6bxCh4NHZo0cP1alpPOUD+1B51NvJoxP3V4uvEA/xXMC7EvuhbLQBrhdhN0wvS+yLY7W46e3ZsGOeE/XEMfZwBZ7qAuxt5Glf5MPLXZ8L54CnsT94+q54wld7YJuOk4N9sO4L3SZvvPGGCvKtwfcHeQCTSnkC31lTXPVHVG1rIKrijzdeqOCZ9OePvzdwfNe4CHnykn7yxJpjcvUru+Vri/dIr6RImXNaNxnQNV5G9kqQ6Mgu0j8zTr46qZfUu86/+WChEl09gRhCeGMML0eAfuq9995TYQ1MMERfD0vHMvb/3ve+JwcOHFAiojmEH6FsIMhjX/yIASgX30dvQ9uBv/XBd0OfA8Pm0TcGUh9glmGvk7nNPMbf62grPNVLe6liYk9P7XAyU1xS2+LROQXFnj0YJk4fL2s/+rLBa7OmukY+/d8XMvWKs9Q6PKUWPPh0kyHzWEYe9gW+ytAgZIAego9l7P/HHzwhxw6ckEd/+NcmIQUO7z2iwghgX4QUACgX5/U1jN9fIP72G9xHeVNqT87n//yKChdw4nBug2en3vbBK8sbzq3rBLCPruu7z3/Y7LjWlGGiy/hi+fqGfdEGKMepzPZob/s57Og679txwOtzZF4/2h/HBUJBcVWLvx/H8z2f6/pbrpHFz7/e4LVZUV4h/3nqBfnWXe6RSXh5ecPFNzUZMo9l5GFf4KsMDUIG6CH4WMb+F024THZt2y0XT5zRJKTAlo1bVRgB7IuQAgDl4ry+hvH7C8TfcROzlUep9uScc8sPVbiAPTtzGjw79bYnfvdkw7l1nQD20XX9/QN/bHZca8ow0WW8+p/FDfuiDVCOU5mh1t4mkVGRTcRVU1TFNkJI5wA2pNZG7Hzta19TyQnYhLCz/AUjCWGTQofzFD4AOh40FDijBQJGyCMUF+xuaCoAHrXQLuB4hIRl5AHsg31xDI71BeqzL7/RCW3voXJ5a1nzF57IwzZNTl5/v66loTXgGeUJiBEQHeH2a1emS0tLlbHuNEGVt+RN9XWqCwxh+4RWyIPhiIZ0SjgHHjLdEDgeKjeGfNuVcxhSvmJLnDtxkJSUV0tFeJ7cszFBFrw0Ti7cnCmZYw7IM+8+Ki++9mdJ6psnN6/LcG0bK98qTpKo4fHSIyNRzp/Y9rOB4keXFpEh3GlhB+1kH3aOh9LumeiUBxEDbxzggYehlPYAxRocCy9QJ7xt8xeIffAohLcaEmbHxxc2ECAsQfBCXfCMnXvuudYW//HVrm0NBDcIlqanq6d7+cwzzyhx2y6qOuVr7EPl8f35/e9/rzwm4TlmCrcm6NTwjGA/JIgV+lgAsdHJg7ItcKqLUxsBp31bir/flbYEfRw8sQH6A9RHD8fXQ/THjx/vcziGFlfxHWkvURXn8OVtC29LT962gYCXhLXrlkqPta/LExf3lZevHigvXjVQbhqVLl3C6uW+mUPl9R9MksSYLspH9eFrR8o7P5kio3olqYmuPIE43vh7oydN1C9v8BLD5Pvf/77yGMebYuyLPunPf/6zGr6DZwfbAf6+4u8l+ryf/exn6qUO/lbBCxV/w3wNbfenPigP39Nf//rXqiy8fIPAGUh9kPCMYRQBysAxTz75pBIu7dsQz1yPIPD3OloL6g1hFAKqjtXqrV4atJ9TO5zsVFS3fHSOt59RsfGx0qNfdyUyguOH3L8LMrq7wzzAiD9nxiTZsGqLWgdYRl6Eq2zgqwzNNd+dqYbgz/vnPbLXtS88Re9+5A7p2jtDDcvHdlBRWiGfL1knD/zfj+TWe29UIQUgtMErNjUzRZWBNGy8ewK+QEDZEBUh4L305Gty2dcvtLa4t/Xq30PuX/BDiUto+ncV2/KO5KvzmnVC+r+HnpWvzrlabYtLiJXCXOe4w8Eqw2ybf/763yrfXiZoj/a2n8MuBmu8PUdVFdXy3PwX5bu/vFWV9ZXvXCFrlq2z9vKPCtffqBZ/P8I9f0FSUlNk6KghSmQEOTvdv+f7DXTbMPjNC4H0rVffUesAy8iLiXX/HvZVhuYPC36jhuCvPbha1q5epzxF313zpgwcOkANy8d2UOy6zheeflk+z/lE/vnKAhVSAKLgJ0tXSa++PVUZSOdd0vz3pC9QNkRFCIU/+e59ct9vGsVFbBs1bqSs3vOxpKQ1fbGNbRBbcV6zTkg3XXGr/GnhH9W21PRUOXrY2UM4WGWYbXPrVbepfHuZIBTamxBCggU8Y007F7bbpk2bmuiE2I79AgW2ChydtM0OARdORnBaQ8Iy8gD2wb5wgPAHOC9tdP1Nrqp1O1f26xkrE8ekyIcrT8jq9QUqYRl52AYqa2Nl0940vzxi1V94DHW1i5Z2YPDAWwqTQpmNhmMvvPBCFe8UsRrhhedPQuBZT8DgsU9UBWVcT0JlAnELPzbMBBEYAmNmZmaDSATDCrOZQVBwUuVhAPpSon94w2TVYvXVYXJvfheZ7PrJdHlBigzM3i9nd8uXC/sfla69jst1JYmubeFyR0yyDBrYU8pcRso3L59glRJcILTp4cHaW1J7RYK5c+fKH//4R2VYQ5iAVx4efqdJfJzytJAHIQPbTe9fiJP6bYL2INSed562weMRHoIQoQIFXqiItYekPVIDAd6hEBQgDqJu8KZsKWa7whjHlw1iJ77gOAeEBxO0KdpAi17YF8u4V+bxqBuO156s2Mf0rMW9wNBxoL1mne4brg9lmXnAUz7Ac7Fr1y51jkDA9x73Ww+5twMB99prr1X11Pvi+wbwHGDIPJ4NPGM4N9oJYB9PXp8QY7Cv/Zye6uLURp72RT76Gv38Yruuh7c6Ig/bnL4rnvDWHoGCPhzPHSbmQx83Y8YMdb06TimWEeAb8Zr9AdeBYSX4bC+0J21LvW0Dob6mGm5SUvPZ+1L+lx9K7ao3pXbjJ1L+6B1S8afvS+0nr0nFEz+Q6ncWSvnjc6Xij7dL9Rcf+hy5gfaFVyi8MeEFib+P9tEQEC4h8uHtsV3MM8HfV7yFxfH4W4Z1iLAZGRnqRYHpZekJX/VBeaiDFh5/+ctfNjyPdjzVBwnL+u8tnl+8wEQYC2wbMmSIWgcQ6/FdBIFchydQV+116mmCK9QNwigEVIT/gIjqrV6nOokx9S0endOza+NIICemXHam8jCF5+CKN1fJGeePbxBNQd/BfZRHoxYBa2pqZdDoxiFfwFcZAB6KEDTn3fpbj8IhQBzUGbMvVsfj3FiHKJicnixfrtrcxCvTxB+vRzPG6jfu+7rM//GTDWIgttmvS4NtuEZg1gmpz6DeDcdNmJrtMfxBsMow2wYiqT7OLBO0dXsDf88BULbTc6TawHWsFrwhFh/Z53l4vhNp8ZEt/n5k9fQeruKb37tFeZjCQ/Eff35Kbrjl2gbRFIw7I1u2bdzeIALCy/ss23BtX2UAeDxC0BzXa6JH4RAgDuoDv79PHY9zYx2iYM/ePeSdxe818co0Mb0+4XWqBUYTM8bqM6/9Uy49Y2aDZyi2TTnX2fsI23CNwKwT0tjTxza0x9Vfu9Jj+INglWG2DURSXWezTNDW7d0azJiq8FQ1wwJgGyGEmMCeQPgAPYcRfnfjdzxGYcJW06NbMVwfv9GxfyDAae2rX/2qtebWLuyYedjXX0c3/P4fPHSsfLRzqmvN7SiTkRolwwYkuFddCcvIcxMmy7ZPlSHDsptpk04oYRXDm/0ZkgwvQYirK1asaCKuwsiC0IVh9mvWrLFyWw5UZ3vgXcR0QPn+hiOAiKgbQIuqEK+cRFWUibJxDm8M7Zsh934VN6KLXDWyVP7Ss0jmj9wrq17LlkeemSz3PTFVdq4fIH+cVCD/mhwmi2ZmSnp5vXzvitMkPdnZ088bMPIgvMHwwyRF9nUAIQcCIQRm5MNbDvvpIe9IyLMPTccDaXomAqc8/bYARvcLL7zQpI3wLEAIgjcixFJ4QWqPRm/bWgq8RSEOIWE5ULR7POr2rW99q+FNi1O7esJXu0LYf/HFF9U2vR+OwTkgCMPrFnkQh/773/+qfBMcDw8qxGnFfvD6cnou4V2JzgsvKfCs2+8bhL2PPvpItb9OGJLvKR9AWEWnCLEvEHBfES8WsWh1mZikCfXS6xD/MURd7/vUU0+pfIRbgBiCfAh4uEcQ/7ENHvLwKHUC++JeoVx9DpzPU12cnm1P+yIf90nXA/2Hroe3Onr6rqA8/HHB9wDlm+g6OLVHIEBUhWCkRVXEJEV/jedcz6yP5ZZ8b9oTvPiCR21rvG0DokuYVH/4Xwnv1k9qvlwhVR/+R6KvmSP15aWuPxxFEhaXJOHDTpcw19+I6FnflZovPnD9ifX+N0jfdzwbuC9auNPgRwbuN7xV0Ve05J5AuNTPEgRFb0PofdUHoB9CfbTnaHt5ZgZyHZ7QZZiiKWkdI0fGt3h0zqjh3keSZPZ0e5Z+uXKTlJWUNxMX4xJjZdzZY5QXIVLvAT2aiaa+yoB4iYmi4Nn48L/vl0GjGicw9RcM2f/lM/eqZQhw5rByoLdDNFVep656ewN1zuieJoW5vsPedDbao70DPYe35whCMsrBvUPS3rT+MmlCjxZ/P6ZM6G6V4kzWILeDx9uL3pXCgqJmomlqWorMvH6GvPyvV1UaPX5UM9HUVxkQLzFRFLwnt+Z9KZOmNt3uDxiyv/Go2znBaWi63g7RFF6nqLc3UOesgf3k0AF36KaTifZo79Zgj6lqj7lKCCEmmJEfYeLgNQqHPthrAwcOVMPzodFgHXoDtmM/cwZ/f4AzBMoFzz77rNIoMUJOg2XkYUJrgH1xjL+cccYZEp08Tj7YeoFU1br/fvbsFqO8VJGwDKrromXJ9vMlLnVss9CDnlDCKgxxJy8PJ2Cso/J2cRWxFOCaC1Uaw+19zRTmDdTFLoBCaIAACoXcF/DOggEOTxgIDcuXL1cimn04pgYeafBu9UfMePg758vXpmXLh12r5I5RhbK7h8sAL4mQH/7oOnl4/o0yLCtN8s5LkSeuS5SldcUypVuGzPbirQqDFoKQNq7t6wjGi+vWkxTZ18GPf/xjlYek427iU+dB4ES5OsYqBDSI11oIAni7YM8DEJJwDIQ8eGl+5zvfUV8aDbwR9TBqu4u00za0MSboQRm+rt2+rvnKV75iLfk+xlyHaIlhrGgTeIK+++67DfuZ7eqtDKd2ddof2/R++p5gO7wbkYdPp/KBeQ68AdLbzP30tSBhwh/7fTPbXifkecoHuDcIleDre2DeQw2WdcgAJHiQ4Z7rdTOMgLkvPs1yzGMgBOrzOJ0TeShX76+fMXtdINg4PdvAvq8OBWDWA55sJp7q6O27gnKRj0/7tZh1MNvDvp9et4O+FoISvAO1qBrIH5hggWfS6SWAHX09noCHJTxrsV9LvW39ISwhRWrWL5fw8edJ3cGd0qVrH4mYcL5UPPuQ1NdUSX1ElISl95Cw2AQJS8lwf8b4/huBF43wCoVIDhHY9A4FuE94eYEY3/BGh4dyS0F7IOay6dVux1d9EG8aLw8wc2dL0WXokAMQj7GMlxnYtn379oZJtHAeu5euP9cRbPyp16nKFRckq1+HLRmdc/5k78I2xC14mD7/51dlwIh+zURTAKF069odKtlFU+CrDIiXSSmJEhUTqUIFHNzTcrHm7MsnyYybL2oIOdBScPyJI3nKM7OlYAKs/TsPNEzeBcHQl+emnWCUYac92rsl59DP0Z4te5VnLsD1IxwBrrul3HbNyBZ/P66/pPnvEBOIpPAwnXvrj+SMKac3E00BvCKXvbdcJSevTl9lQLzs2r2rxLryESpg49pN1pbA+eb3b5H7f3uv7N7RfERhIKAeObv2Ks/MloIJsNZ/tl4NmwcQnr15hzoRjDLstEd7wyPYWzxZ7QnsRFKy20tVx1Q1Y65iGyGEmOgwANAk4Jw0efJkyc52/42FTohR6a+//nrDfoGGA4AugTmSFixYoGxwODTh9zl0RyQsIw+jKrEP9tXOc/4CETix6xnywqcXyhcHpkheeS+pqYuS2vpIyS/vLusPT1LbYtMmNsRz9QclrMKDD0YxvNX8QYurECxNcRUG8KRJk5TI6uS26w+oAwQl1MkO1GIYQgg74AsM68dN3rJli7rBngx+lAVv1UCG3j77wNXyx9sulSRxGdnlrh/0Ma76DDomCf2PSb3USJdDlRK2IV9uOn2o3PetwG50ewCBBkNQIQRpnPJCDQwHxvMR6JfnZCfU71tH0xme7daA/hadPmaA7yhRVXPbbbc1eJl6ShCjfYGXB23pbQtv8C7p3SX227+VqHOvlZjv/kGiZtwmkVNmStyP/i4x33pIIrKnSvigMdKlWz+JvvEnEtYjS6K/eq/rYPVn0yvwCsWLRrsoD7TH6DXXXCNPPPFEw98meFpCiPRnkiQdSgAJb26dzmPirT44L+4LvD51mTh/IPXRZTzyyCPq+HvvvVdNeod8JLxwQIgBbMOLU7wkAoFeR0uB6KtDHSDhhZW3epkE0g4nC716RMuVF2HkQmCjcyZNqHS1V3Oh1A4EL3gTarHLDrwXU9KTVcKyE97K0GLsT2/8lbz8t9caPFzhxYgJpOyTKTmhh50jIQ6op7p6AwKeHnL+l5/9U275yY0er8cfUH/EBMXwdZQJb11Pw/g9EYwy7LRHe3s6hzewT32dy56Ij1V1AfhEWIb3XljacD5fdbMzoG+yfPc6jJwI7Ptxw8W9JTW5uVBqBx6mM6+boYahOwHvxW49u6mEZSe8laE9WIeljZF7vnufDBrqblt4lWICKftkSk7ooe1IiAPqqa7eQDxRHWP1K+ffIE+9ssDj9fgD6v+bvzykYp2izPzcfI/D+D0RjDLshEp7eyL7jLFyzoVnN5moSsUpduVhGyGkc4EwVxiFphPWNd62+QscjKABIqQWRiTDW9UEZeJ3NbxWsZ92fPIXOEJieD9sSj2CHWXA+Q1Jl4dt2Af7enKe9AZ0xSuvvlFq48+TD7edL8+suEwWLr9M3t9ygVRETZcZM69vEl7TH8LqoWK6gEcXXGm9xT61g2H/MEYwrNmcxX/t2rVKqEWA2EDBDMa4QfZQABp4l8K7UnvZtRYMg0a8RqebDrUdcQo9caKwTF5askmWr8uRnCP5ElZbL0P6psu54wbINReMltjothVyoNhDUMGQ8mCKDv6Ae4AYnxi2DG8yE2/bWgKGAGNoPJ43DGNv72slpzbBfp7bCrzkwsutUxl7n431kSNHWmuNDOjfXyrf/qdISlep37NRwpLTpa7ghHSJS5TavdskvO9gCUvpJrW7v5Swrn2lfu9m6TJ4HKwNiZ5+o+x2iPdNSGcDEw1UDfTspfunBUdk+YZikYg6VwfjysiPEdmfKpIULcNOq5a4gXES1S1RYo5VSq/YY3LlrODFqIXYNfrM4S2aNOpUAcPj1URMv/hGg3AYKMEo42QlaleajLnA8ySUcx9aIa9+ssuv78dpPaLkzlsDF+c9ASHu0isv5iRGXoCX5h1fv0te+vB5n6EIPBGMMk5Wvnx/q+Pvq7YAf6u82eOEEBIKNFjhEDIx+UogQ+HguYqZ96FGYzgqDHsMv4cXqNOwW1/AGxGhBDyJqgDqMobwwe23tSDuKsoKVEnXZCTHyXdmnS7/nneNfPLkbfLx378tT/3sK3LT5ePbXFQF9iHk7Yl9mLKJt20tQQ97N4fPE9JeBPt5bitOdVE1EPA2MXL0FAlDlPKEVOnSZ5jUI6ZqYpp06TtEwidcIGHh4RJ59pUSkTVCumSNlPCeAyUy+1wfEVYJOXn4/m3d5eYZGRJX6/o942F0TvnaAzKy54mgiqoQ+5xip5KmYOIuPTy+pQSjjFOVR++bIj+75TRJqI/x+P2o/fKYXDY2OaiiKsQ+p9ippCmYuEsPwW8pwSiDEELIqUGDxypAXEjERkOshEDA5EkQReG1imFzEFxbAiaiQSwGb8IqgICLt1dwQYbHJoLjBgKEX8SIhaiKt22eBAlfHquEEEJCB789VgcMwKyFbpEUfwIry6Rmy6cSMeQ0kXgMi1WSq8IUUhFCALQmLiohoYIvj1VNcXGNrFxTKpt3lMuxE9XSxfWl6NE1XEYOiZOzzkiUqOjGEUutAbP8//Ph52T/rkPy3V/e2qph8ycjun12bnR7zCelJsjdj9wRkKdpMMo4VfDlsarJK6yQt5ftlU+/PCoHjpZKWF299O+dIJPG9pDLzsuSmCCJ1pjl/5Yrb5MNazfKS//7T6uGzZ+M6PZZucwdH7Vr90x5d82bAXmaBqOMUwV6rBJCSFOaCKsAQ+MRn7R//8Bm9cQEOvBa9WfyEif27Nkje/fuDWiIP7w1IQYj/lmfPn0ajF5P4FIxixgm1YD3mS9PVQqrhBDSefBXWCWE+C+sEnIq4q+wSsipCIVVQghpSjNhFTFTMVs6ZtrCTPntAWbux7B8nBMer4GA8AXocDE5BY6FJxJmW05Ods+8iu2VlZXKwwjXBhBOQG/3BoxyQgghnQcKq4T4B4VVQjxDYZUQz1BYJYSQpjQTVsGRI0dUrNQLLrhAEhISrNy2oaSkRN5//32ZNGmSmtW6pWCCI0y+Bc9XCKkY7g8QJgBCKzxwMWMY4nUSQgg5+aGwSohnKKwS4hkKq4R4hsIqIYQ0xVFYBfDwXL9+vYph2laeq/BURazTsWPHumPeEUIIIUGCwiohnqGwSohnKKwS4hkKq4QQ0hSP00hD6IQX6bJly5QXaLBBmSgb56CoSgghhBBCCCGEEEII6Ux49FglhBBCCCGEEEIIIYQQ4gym0aewSjotkydPllGjRqnJyLCsGT16tF8TlBFCCCGEEEIIIST47Nu3TyUTTDC+ceNGlb9//375+OOPrS2EdE4orJJOxfXXX6/i/kJMhXhKCCGEEEIIIYSQzgvm3oHYCpH1rbfesnIJ6RxQWCUhz6WXXtogqNILlRBCCCGEEEII6RyEhUF28o4ZoRIerRBXn3zySSW2EhLqUFglIUlSUpISVO+55x7p27evlducLl26NOmo0SEzbDAhhBBCCCGEENLxBCqsAr2+YcMGJbA+//zzap2QUITCKgk5fvzjH8t3vvMdj96p6JjNZFJXV0dhlRBCCCGEEEII6WBgnyOZdrs3e15j2vRYhhfrb3/7W/nPf/4jRUVF1hZCQgMKqyRk+Pa3v60EVU8eqp46YCyjs9Vp39FC2bDnuEp2kuOjZXT/TJkyuo+VQwghhBBCCCGEkGBTVVUl1dXV1prbdtefZsJIVJ3saJFV2fr79smdd97JCa9ISEFhlXQ4ffr0kccff1zFUHXCqfNFh2uKqQVFJfLvJdvk3x9slo0OgqqdpPhomTKqt/z6m1OlbzfGbSWks4Ifa3iDXVFRoT7xRtxkzJgx1hIhoUVpaakcPHhQCgoK1KdpdBBCCCGEnIwkJCRIbGysCv2XlpYm6enpDeH9zM/w8PCGdY0WWMFHH30kX//61+m9SkICCqukQ0EcVYiqTsP+zU7U7GiR0KnqYf//fn+9/PQfy6SwvNbaOzBuOG+EPPyNqZKcEG3lEEJCnfLycjlx4oQSp/DjLCYmRv1AwzIhoQyE1O3bt8vx48clMzNTMjIypF+/fuqTEEIIIeRkprKyUnJzc6W4uFgOHz4shw4dkoiICOnVq5d07dpVoqOjG4RV2P341EkLq/oTv6kgrtJ7lXQ0FFZJh/HQQw+pof92TEEVmIKqBp1pzoEj8tVfvCQbD1VauS2nT2aiPP2Ty1SYAEJI6AIhNS8vT3mopqSkSFxcnMTHx1tbCQldIKTu3LlTGRJDhw6VHj16SM+ePa2thBBCCCGnJvhthJfOu3btUh6tAwcObCKwImEZAqyTwPrvf/9bhQcgpKOgsEraHXiVPfvss45D/03xVIupZkLnWVNTI+u37JKZ9zwrRWEpal/ETu3XLUUSXZ8JsVFSWl4lhaUVkl9cIScKyqSiukbt542kuCh55WcXy6hBva0cQkiogGHSx44dU8upqalKUCWkM1BWVqZmtIWBMHr0aIqphBBCCCEeyMnJkdWrVyvHiQEDBqhRaaaoqpfxCbS4+sYbbyhxlaEBSEdAYZW0K4inClEVxqUdCKcavYwOEwkdJob+19bWSn5Bscz80T9k0/EukpwQI5NG9G6Ik1pVUyul5dVSVFYp+cXlkltYJscLytS6P4zoly4v/XyGEmoD5XtPfCjb9ufLgrkXSFa3JCvXM7f8/l05mFsiz/3kEslMaX+RqLyyRmY+sFgG9EiWJ+8638r1zM6DBfLdP38g/VzX9nfXNXYkNbV1Uu1KmtioCGuJnIxgmA88VRGHiUP9SWdi9+7darjb6aefTkGVEEIIIcRPtm3bpl5Md+/eXSW71yo+kTTQC7D/jBkzKK6SdofCKmk3IKouW7asWTxVJ0EVYNkUVeGpCs+fq+5+XNYci5XemUly0cSBkpoYKxePK3I9yHVSXVMtL65IkDxLVM3emSvxR4qkrKBcXukWKwdjwlXZU0fmy7SRBWp56aYUWbYpVS2D8f1T5Pn7L1dvxwJh+o9fkp2HCmX2hSPkwZsmWbnOfLh2n9zyyPtq+bHbp8qsyYPUcnuyeusRueZXb6rlp35wgZw3rq9a9sQDz6yUhe9tlviYSFn1p+uVh29b8YGrfbbsy5OCkkoloM48a6CMH9TV2ioy98ll8vZnOdaayLI/fEW6pXI4+MkGXqQgjiq+i05xmAkJVeBh/eWXX6qhbE4vEgkhhBBCiHcQj3Xp0qVKB8BvKi2maoHVXAdaXJ06dapaJ6S9gMo0z71ISNuB4f8vvvii9O3bVLzzJqoC7aWKzhTLv/nbi7J4famkJCXIddNHSdeUeJkysk4uGl8mA7rVyqAeZVJYKrL7SIRkFpTLnK15cubBYpl4pFQSa+rlfxkxkhxXLf+5e5NcP+WYTBtVINlZJfL8iq5SWe0WXQ8XVEhpwTE5e9xA1Tn7k3KOFMqjr6xTx0MQvPyMLEmKi3TcF+l3L6xRIixIT4qRaWN6Oe7Xlumdz/fK8g0HVR3KKmvksolZjvshHTxRIj/5v4+VyFldUyenDe4q/bomOu4bjPT44vXyf+9ski92HpN1u47LtWcPlm6psQ3b312zVzbsyVWeq0i3XjRC4qIjmpTB1LkThCnEpETfgWH/TvswMYVi0kP/zzzzTBk0qP1fmhFCCCGEnAxANMVvKQisGAWUmOi2P030OrxYASbAgkPXW2+9pdYJaQ8orJJ24d13323mteNJVAUQUQE6Si2url63We5+4gOR2FS5eOIgGdAzTTKS4+S8sVWSGBvp2jvM9a9G4qLLZOnGODnjQLGMOVIq9SWVUl9RLSNKa+TP/RLkzCFF8pOr9qnyQffUKnl3XbrsPd44xHjt7lw5vV+M9Oyaps7vK63YdEje+dxdZm1dvcRGh8sZQ7s67rt+93F5+PnP1b6gtrZOrj1nkOO+bZn+9eFW2XbA7bW7+3ChnDGsq6stYh33ffr9LfLRpsNqX9AnI14mDnG+vmCk977YL1v351tnE/nKlAHSNaWxbu+v2SdbrbqD2RcMlbio8CZlMHXehBcp+fn5SlSNjIx03IeJKRST/uE/efJk6datm9VDEUIIIYSQloLfVOnp6fL5558r4RS/uTTQC7SWAM9VLEN3oLhK2hO3zzQhbcgzzzzjt6iKjlF7pyJBUIXnWlVVlfzlubdF4jOle1qCDM/KlNTEGElLipWKmnRXIQmuBHG1ixzMjXYdWy97ol2Pd02t1FfXqrI3x7tjsOQci5GC0sZ4LFhGXhPCo+Whf76rzu9P2rD7hHWgm1dW7JKi0grHfV/9eJe1l5vN+/Jl37Eix33bMm3MybVq4Oblj3Y67lddXSOvfrLb2svNetf1Ou0brGR/E1lrPQs61dm21xnbmDp3wvcdMSkxIyh+HDntw8QUigmi6qZNm+Scc86RjIwMq3cihBBCCCGtBb+tTjvtNBV7FUAzgEagP2FDIAHoCzfeeKN85zvfUeuEtDUUVkmb8uMf/1guu+wya82Nk6iKTy2kIpnCKjrLHXv2y7trD4uER8n4IT0kPiZKzf6fkhAjR4u6yq6jcXIoL1JWbY+XFz7OUJNYrYwLl4d7xcmn0WHyfnq0fG1MmjoXPFPP/fk4WboxRSUsm96qmi3Hw2TNug1K5POVNu3Ls45yc7SgXImR9v1OFJbL4pV7rL0awbB2+75tmfYeK5Jdh5sG9V7kqlfO0aJm+y5etce1f7G1l5sNOblSWVXTbN9gJdd/1pks7NttIMvcztQ5E77vmKhKi6pO+zAxhWLCD/ktW7bItGnT1DA1Qsipw7p161QMQHwSkfnz56u+ECkrK0tSUlLUcmcD99RM3sBvF70fljuCefPmKXuqM7Y1If6CPmXYsGGya5fbUQl6AX6DQS8wPwG+Dw8//LAaRURIWwNVq7lKQUgQQCf22muvWWuNmGKq/tSCKhKMVJ2vO8e//Ot1+cPibSJxGfKD685SXqvd0xNUKICI8C5q5v+jeSVyNL9EDueWyBHX8uHcYjniWj5WUKrKC5i6Grl2ZK08OHe2leFMRVWNTP3xYikud3fimtFZafLfey+01twsfH+r/O6l5j+8v3XxcJl75VhrrTlf7smV1z/NkTH902XGGVlWrjP3P7NaDdX/2nlD1ERTTiBswd1//8Raa+S7l42UO69o6l38zflL5ZMtR6y1Rp778fkybqB3r6w9R4rkhY92yW7X56HcUhnUI1nOy+7VcA2b9uYp79PRWelqHXzloXflRFGF676VWzmi4rmCb140TK6eMlB+8tQqeW1V4+RVS387U8ora2TRqj3yyeYjUlRWrcJDDO2dIj+8OluS450n2oLIvW53rmzcm+u6j7WqvRAOAfX5xkXDrb1Ie4EZPKOjo1UipDMB74mxY8eqH/yEdGb0bzN/0b/ZTjZycnJk4cKFann27Nlev9sQsjA5KyZL8SXAnexAVJ07d6611pRQf1Zwv3H/IJCvX7/eym0E9zc7O1s9D/g0wXHnnnuuWl6yZEmHiJsQVh988EE+h+SU4JNPPlGiqh4hhL9dCB+GmKz6MyoqSvU7e/fulRkzZsj+/fvVvoS0BfRYJW0CYiM+++yz1lojppiqP01RFR0kxFT7W6dla7aLRMSq4f/6N39Vda0UllTKsfxSiTxRIol5ZZJ2olRKyquk1JXKKqplYLd8mTrSnTBplaZXRa1MLKhSCcuOdImQz7YcsFY8s2lffjNRFWzIyZMl692TQ2neWL3XWmrKpr2N8URNsP93/rxMrv/N+/Lckh1KXPUGhEx4yj62eINc9ct35V8futrNAbuHreY1V/mYoEqzZudxR1EVQBT1xn+X75SZD74tT/9vm3y08bDykH33i/1yzz9XybUPvycz5r0l17g+l355yDrCTUFpVRNRFcBj1u41a/LKx7vlKw+/K397a7Nqd+y70VW/l135d/71I2uvRg66npObH/lQ7l34qaon2h/1g4D93hcH5Kn3t1p7kvaivLxc9QcUVUln48iRI5KZmUlRlZCTCAirEKmQsEz8A8IquPnmm5XAuHbtWhUzHcuhCjxMIYTecsst8vTTTzuKqgDi+WOPPSbjxo1TIiYhpOM466yzVOiwiooKta5HD0FPgH6AT+252q9fP3niiSfUMiFtBYVV0iY8/vjjkpycbK258SWqmgkdIeLVIUFszTmcKxIeKVERmKCoXiqra5WAmldcLrUnSuS8nXkyc1uu3LQlV5JPlEpRWaWE1ZfKc3M+lyW/WKvS7HMbBcL7dhfJcxvyVMKyJ/YcKVaCjze8CYwQKjUfrj+o4qk6AaET4QvsdE2OleUbGyeNWrHpiHyx87i11pxXP9nj+sPiXt7vahc9oZYdT0LuAVfbmeLtG586C8HA07UACMIPPve51LjulRMQPe2hCDTD+6TIaYMzrTU307N7qeTJA/dPr22Q0ooaa60pa3YcbxZ+4Zf/+Vw+237MWsOzaC2QDgHfd3zPOISadDZKSkrUD3v8wCfkZOKBBx5QhqqvRNxiIoRDLSqeqsDTE55hAMIjxEp4doZ6KIA5c+Yo0RRg5AHEYKdn/dFHH1X7OIHrxDOAZPdmJYS0DRgdu2dPo42H7ylsCu2khQQdAZx99tmMt0raFAqrJOhceumlHuOq6k/gJKiaCZ0hOkhw3PJgxCqG3pdWVElBSYWcKCyT0Ttzpe5EidTmlUptfplcsz1XCl3bbp62W7K6ut9igUdv3aE+4aV6QW6lWgZYRp4zYbJha9OJm+zYhVXMYK95d81+2XHQHWvpDUOw/M6lIyQjqXHCrMLSKtniIFROHNpVzhvby1pz87oHsbOgtLLZJFPXnD3QWmoE7bfZ5rE6wRAytZiK4fhvGh62T3z3bGvJzRZj1n47L37UOEFXdGS43Hf9eHnq7nPlkW+dJReM621tcebPt58tvdLjrTU337xouMq/+LS+Vk5zcB5ch1N4AniiaorLq2T1tkZRde6VY1Qogfceulye/8kF8sBXT5OR/dzxeEn7AHEKcVUJ6WwgxtekSZOsNULIqQiENC0insqYsUU7iwc/BGB4qQJ42WIIvaf7CAEWIs7MmTOtnEa0eIyEZUJI24MwAH379pUTJxonkTZHv9r1hHvuuUf69OmjlgkJNlC5+LqZBBW86UUnpzHFVL2MDk53eDqhIzSXTYbP/Imr9xyuJq+6+eJs5bkYCe9VVzlX7yuSYUdKpbagTOrySmV5bbV8Nz1cZk/b2SCmAsz+n3bTOTK8pFpeW9t0RvwrxqXLlgQHb8gja+XpB2+WieNGWhnNwZB20/vyrV9cKpf+/C1rzR0/9Yozs1z7vW3liLz6s4vlNy98IZ8aAt/Pb5wg108dbK01snzDIfnO48utNZG46Ah5+5eXSWZy0wm3/vneFvnDy43Dl0b0TZWX7rvIWmsEw/u//vsPrDWRM4d1k2ljerrqs9bKEXn6B+cpj9TfvujOgwfpr26eKBff/6Za13z4myuke2qcteYGw/6//Wf3m3/w8OwzZNak/taam+k/eU0O55ep5dsvGynfs8V1vfepVbLYiKH6n3vOl7EDGgVTe4xV1P9nN5wmPdLcdXlpxS75+bOfqWUAsRUxYQHCBFzys8breOzbk+WC8aH5R/aZD9yzXt40faj6PBmBpyo802mIkM4GQgDg2b3ooub9LCGdFf07DR6rrR3uvGjRooaYlRodnxLbgNM5cAwSxDns74TeBziVAZEP59WfJvh7M2vWLI/in461aQpu9n3Nc2J/hAvQwpoT2I5j7GEFsD8EO09/A7G/jvWK43E9WMc16bJwLMrwdO5AwbXD+9YUSgHuhaf7oa9NtxmeHxOne+SN1tw/f0HZKKOwsFCNskP9W/pbxH6f7Og8tJ9Zb7Q1rs/pelA/vd0E+2F/e11xDn9irKKeuq4alIW6oVxCOhP4Hfbmm2/KiBEjrBw3ZpxVvQyee+45ufPOO9UyIcGEwioJKt/+9rfV7Hsmdm9ViKoQTyGs6rdK3kRVMPyKe0QyXR1meJRMGd1X+nRNli5dwlz71ktYeZV8b0ue9DpaIjsqKuTW7lGyt8ztkfrPOzerEAAQVTH7//oc91Djq46Wy2+3F6rle4YkyyvdmoqUDRz+Qp7+xWyPwur+4yVy0f1vWGsiw3qnyCs/u1i++8TyhtihmAwJwuKTb21W62eP6iF/+95U+dV/1si/lzYKv/B0/cXXJ1prTfnWY0vl482NoQx+ePVYufXCxsmV0A4QePccbYxDCs/L684ZZK018uwH2+TXhogK79mvTBkoF973hhKqwTWudXikYsg+gMfpV88d0kQQBY9/9+xmHrUL3t4s8xd9qZaT46JkxSOzJLxLU+f4YAur8DjtmtJ4DxF/d9o9i1W8VjC8T6q8fH+j+HHhfa+rsAcaTAo2fmCG9MqIV0Lx9GzvXrXtxel3vaTq8/q8S62ckw+8ZU5NTZXw8HArJ3RBiJOJEyeqdDKxevVqlU6WH5qYnX/48LaffO7TTz+Vq666iiEsyElFsIRVLfL4QnsSmfgjEJnlO5WB4/RkQp6A5yEERLugBYFSDw33hHlOvb+nNoOIBeETAp4TiP8HodnJU9K8jqeeesprOYhl2lJhUIPyEUfUE7gnqKv9PPq58YTTPfJGa+6fv+C+IK4qaO3zbtbX6Vp1++hYsziX+YzZz6/FVh1awYm77rqrSfgJ/Z3w9L2BUIsyvT3b9jIJ6QxgAtHDhw9L9+7drRz3d84UVbHcxWWP4vuJiaw+/vhja09CggNDAZCggQmr4GJvon9ImD+4TAHVH1FVUV8jUuMWSw8cL1KxVXMLy1QogP0l5fLdjHA5NytGru0dI/ssURXc+vgI6XL1ecpTVYuqAELq4LO7q+RRVAXlJ6RX96bxPk3sk0AN75uqPs83hLkj+eUNoiq4aILbO3JAjyT1qdm6v6lngAmETxN7OABM0mSKqgNdZV/rEAYAYLItkxF906RnerycP65RIH1xxa4GURUeshdaHp0De9rr3DwcgBlmIDMltpmo2h5ERYZLcrznSZBuuWCYteQGoQIW/m+bPPT8F/K9v66Q+59ZbW0hbQm8VSGotkZUhSB40003KSHNTMg3gShq38dMJigP4pwdBL63lxsI+lxOZbz66qtqG87d3qA+rQnq7+89ALhOCNN6Hyzj3nhj+vTpPtvdvL8QO32V2VrgrZqWlkZRlRAHtMADL0AINRCN8N2HqATvT3sM/rYEoqVZByQIT2Dx4sVKSLQDzz3UU4NlHG8mf4EnoxZDcV7dDkgQSlE/iGeePEFNIALqcnQ9zGHp/pThDQimWlTFNet6IuFcuG8Q5ZwESGw320zXT6eW0pL75y+mJ2h7eWqivhBgtbiJmK64RhMIoLiXeC7Q5va21Pfc7snqC5wb58U5zecQST+LuP/am5yQzsLQoUPV7zITCKjQFkytAXoEkl2vICQYUFglQeOGG25w/LFsiqumgGp+6mVPnD4yS6TGHWf10IliyStyi6rH8ktcqVSOF5SplFtUHjwX7KpSSYyNlF49uloZzbHHV4XHKrhgfG9JiY9SyybwqrzEihM6uGfTtoJImV/SKAqbQIwdP6jRY3PbgQIVv1VjxjQF8FQ1xWwTe52H6jqPcx4Oj/rqsAOD7HV21cNOdU3jfSzwcD2BgnivweSGaYPlD9+cJGMHpEtURPNu8JWPd8sfXvb+g/Wtz/bKjb99X8750SK56pfvyBHDk/eX//5ceRBf/at35dFXnWeXBQibcN5PFsufFrs9fAHWL/5Zoxe05nhhuXz9Dx/IrsPOniqdEQSYj4lpjDXcEiC49erVSw0/1GnYsGHK+7KoqDFEx5VXXtlkH52chMzPPvtMiosbX1QEEwhxTqJfWwuBbYm/9wDLuE60gdn+EHXtQjbKxL7YfuiQ2/vfE9gH+//5z39uKBf3uy2BuDFkyBBrjZCTDwij2gj1luxA7NGepPCag/cbhDgIV/DshJdgewg38P5EPEwIm2YdkFAvCFQA4hyELBOIWqZIiWUcbyZ/wbHoL/D7GOfV7YCEbbotMBO9r3L1xEooR9cDx3u7Fn/RYh6AcIf7pOuJZF43xDe7RyS2mW2m9zePC4TW3D9/MYVJT3FVgw3usxY24WGMOuAazTaCAIr98MzobWbCPYcQGoh3Mu4n/jaiTCybzyES7p2+f60RqwnpKBCG0N4X2B24kMCUKVPUxFeEBBMKqyRo2Gfas//g1h2bfoNkJm+iKuiVkSRS6RaUMHv+7kP5crygVImrVdVFsu/JN6Xg2bel7uUPJTmuWu0HFn9xQnZ8dESl8080inN/vGW72hcJy45U5MuwAU2Huduxz66vhcfE2Ci50PJMNYFIGRvljvECYTWiS2MbYQZ9pwmsNNee3XRYv569H0PitXcpyOqWKNdNbR4CACB0gRkPtndGvPTJdE8ahPrqGKUmWggGg3s2/RHnVN/UxEahDIKot2sCta7rtpMY11SUPpzXKFoGi0tP7yf/uecC+fiRK+V/D8+QP952lozs5/Y4BkvWH7SWmoPJr374j5VytKBcxZ8ND2+8j/P+9Zn8Z9lOFSIB2/7+zhb5/UueRVp4NJsUlDSfSO1QXql8c/5SyXO1p35+Ojv4zldVVUl0tGfPYn+AePfrX/+6YYg+0h133KGE0a1bt1p7ufqQXr2a7KPT//73P2VgaLRnJIQ+LCOZ4iDAut7mtN0bEAEh3OI4DQwscPrpp6tPJ8zzOYH6muLkwYMHVdJg2VcZwLxuu9jpCX/vwQcffKBEUnNfHX7gmWeeUZ92cN+8gbbDOe699145//zzG8r1dVxrwA91XFtLh58ScjKjBSJ4FbaXWOUERCdv31FTPArU889fIIppz0RPYhXaSHtgQvDyBurp1KYQxjQtvRaIdTrEgKe6QnjTDhS+6tpa2vP+QehsL+B9i/rid4eTMAphCAIowDV6Ek9xLwJ5QaGH96NMT99LLazCUxbPLiGdCbzsPnr0qLXWCOwNJOgPWm+ARgGHMEKCCYVVEhQuvfRSxwmrTHFVC6immKqTLyaOGSJSXeZKbhEKnqlH80uVt+ojN61x5TSKqU/d6RYDbj5YKiNKa9Qy0DFVx2YVy5zLD6hlgGXkNSN/l0yfPN5aaU5ldW2z2fVNj86LJzSfwf7S0xvzUhKiZXCvpj+Yth7wLEJiAixMSKX5cP1Bdf7nljQVhuGtGhnu/NW2hy4w64tj7HXOHpAuZ41ojFdj97I9mFsqu480FZWmGPuDF2zetHaOFzQVFkFGUlMvxnfW7LOWWs/OQ009PjERGkIh4Nq/YcStzS2ukFoPz+bzy9yxcZ+6+1z5422T5cWfXqRioZZWVKvrxT2Ye+VYufe68WrirP8u36n2bynfmr9UqmvrZMH3p6m6ngwgDABiHiHeUVvha5g2PCIh9GlxD+ihjL/5zW/UMpIpDmIZAp7ehuRJFHQCoh8EVNNDFeKgWQcTCJwY3o7zQDzEfhgabxc9IVYiQSjGOVBHLdhCVIUHp1ln7GMvA+VjGL25XyCisRPmPcC1wJMV5zZBe9jFXuyDa/XleYp2xD5oo/YC7ZmZmdnqlwKEhDL4/ptDhT0lO9qT0XxhFQpAzNKej0haaGpLTK9OLVo50VpBKxDPRU/oumI4uCnUmuA8+r7aPVbbmra8f8FoP3/x9b3w95kJBIi18IAFuFacwymZzx6FVdLZyMjIUBNZ2TH1B1NzuPHGG1UYQ0KCBYVVEhSuv/56a6k5EFdNMdX8RPKH6WeNFakuFaloFAYrqmqU2JQS3yieAr2eVNPUEzKp1r1u3x/0Su8ifbslS4QWJCvyXalAzj/b8yQ1GFJfVNYo6Pbvlthkpn7Mto8JkTTnjukpo7PSrTU3OnSAxlucVXCNLW7qf5bulA05jW3SNzNBrjvHObYq2GzzsB3QvekflMsmNhVWIeaaDOuT0izEAcISmCAMgin+QVTERF2LVu6Rx1/bIDc/8mGTCbA2O8RpHdKrqYD7xc4TrRYnNYdyS9Uw/d+9tFY+WHdAedTiGpZvOCSvfLLb2guev0ke48Ou3HLU9czEu9q7qXCHegLEuNVADC+rrJE9NgHaX+BhjPi5Oa4EsfdkAN//srIyiYtr7iEdDODF0bNnT69iGwRDCKIwckzvRi02wmMEy0imEIh1iHn4xORFOI8WMP0FgqH2WkXSwqcTECJRF5wLHp9aaHUSYlEmxFV4i5rD4U0xVtfbKQQCfmBiG/b5yU9+orwycc6W4HQPcJ1OYjfa19dwf0/gONxLiMK4JpwPn7iGtgDeqgcOHJDRo5tOuEfIyQa8Bc2hwp6SCQQc7fXYkd6qGj2cHb9Dx40bJ3PnzlVhCnRqa0xxypv3pbmtJYJWMNpan9dbPYHe7m1SpWDR0fevIzC9b33dC38xy0QbIsarp0RIZ6Zr165SUlJirbnRnqpm0kBcJSRYUFglrQbG+GWXXWatNfdWNTuyloiqICkhTmadd5pI6XGRyqbepXOfGqxm/Qf4xDpY2CtONsc3DpvG7P9g2aZUWbik0avyvx9nybGSwdIjLcE9zLquRuTIOpl1wVnSq0c3a6/m2GOV9reJlGDmpP7WkshVkwdYS43oya40TjFLTTAhlSnaYdIqE8QOjfEyVNzusWoXVjGR1YXj3RNv9clIkFlG/QGE52Z1tgmjECPvuHyUtebm30t3yE8Xfip/eXOTfLb9mJXrBqLmj/7xibXmZtqYXk2uEzz43OeqnGAAsXLh+9vURFVXP/SuXPnLd+Q7jy+XFZsaA59DCPdE364Jylv3qCEQIwaqrrMpNucVu9+eOj0fmsJS9/D/orLmYQBQ5u+/MUkte4vX2pnQ3qqYoTPYQFiEGOgkPJroyZogyAUCxEottKLvg4gXqCiI47XXqva49ATOgf3xqYfz41inc0KEhcirPVIhGOuh8qaQirLQPnbhGW2BbQBlQATFOQPF33vQWrSXK64P14vzPfzww0oQxnJrvW2dQHvghztEY0JIU0wBp6OBt98tt9yihuJj+LqeAAmxKT1525LQoT3unxYudbiGUwH8bUc7+krBEnUJaU969OjhGHNZ6xD2cAD2MIaEtAYKq6TVIAyAJ9BpaRFVd2o6BcqdX7tcEiMqRYoPiNQ2eopitv9xPzhdzv35OPWpZ/8vjugiXxuTJl8dnSZXjEtvMvv/rY+PkOkPjJerfj9Z/vTuOZIQGylH80ukpKJK5MQWkfI8ufMb11l7O2OfXd8uUgJ4mP7w6rEqTc92C5Ymo/qlWUtuMEzdnATJDtrzK1OcPVIRW/WGac6xVQFCF/gjBs8+f5iq722XDHcUae1et05i8JVn9ZdvXTxculjiugnijmqhEKDeN57bfBKYH12dLeFGDNrbLhkhN05zi+ZtzVfPHSzfvnSkteYGnrZ3PLFcLV89xS2S3+5axyRXN/3hA+VtDE9dxFaF4P3r/36hvGLf/nyf3DS98fo+3XZUlYUYuXriMMRkvfXRJXL5A29Jhes+2blsYj+5YFxv17HH5L+ufTsz6AvgrRofH/yQBhARtReqN7ES4hj2g9iohcSW4s0r1hsQ/uBhahc97UAc1CIohvdDtPQUVw1CqP16tDDaknpCqA0Uf+9BMIEgrAVvfGIdwrMWXoNFRUWF8ladMGGClUMICUXgfanjVGIiJnMYOQQ7J29bEjq01/0zPX0xFP5UAO2nwyl4SxRWSWcEv4NLS0uttUYgqAKtQWjnL4Qx7NPHefJmQgKFwippNZhZT6M7Kv1pCqp6WX8GSq/u6XLTldNFyk6IFO5z9ZKNZew9Hqs8UfFpAnF1dUqUbEmItHLcQDDMyc2Sfbn9lBcmJsE6klcq9UUHRfJ2yh03X+nVWxVApMxMjmlI9hnzNbdeOFwlJ7IHZijPULMcuweoHYi1TnE2ITpGRYRba81BfaMjw5uca1DP5qIS6oT6Xu1BwD19SGaTMjzVFzFGX/zphfLtS0eoCbAuGt9HfnPLmfLMD6croRD58Ap98nvnqDikds4Z3VMWfH+qEhR/et14mTNrjLXFjVkHJyJd915vNwValPuvH01X5V12el+ZMDhTTeJ11vDucvtlI+WFey+U+65vLpxsM+LfYiKxn90wQcJc/95YvVfFy9XCOq5xxhn95IP1B5UHLETqn1zbNFavbrOuKbGqHRBTFl6rc64co4RmLUibwvQ914yTxNhIeXTR+gYP184IhMKYmJige6vC8/OnP/2pEvQgPnoDwht+fHkTNNsa7bXqS9zFtWBYuw5NAOEyUC/b9sLXPfA0oRTE5ZZ4gHoqD20LUG4w2bZtmxKo6a1KiDOmGNOR3qvmxEp4EdVRIpG/wp25raNCKOjz+vLe1HVtywmf2uv+4W+VBmJiKGDe/2B9h8wyWxJqgpDOQnp6unoJbge6A8RVM2m8OYgREggUVkmrmTx5srXUHC2q6gRRFaml3Pn1GXL6yP4iJQdFcreJ1DYPUm0H0hQEKghtmK2/V0aijMzKlB5piRIfEyV5xeWy92ihVBzeKHJwtZw+aoDc+c2vug/2wuvzLpVlv5vVkOzxSP3l3Ycub1IOhsF7Iy46QoUEMEGs1q+d19zr02T8oMwm50FCewTK5BE9mpXjCYQNuGvmGHnkW2fJo9+e3KSNkP/EHec0i1NqMml4d3nsO1OaXRvES/P8ECjtvPbAJQ3bX/jphVauG7QFPGB//82z5NkfTpf3Hpoh/5gzTb53xWgZldXUi1iz6tGrVX01CLvw8v0XydLfzpQ/uerYK8MtdsP7+be3TpL/PTxD1cEuqp8xtJt8Ov9qmXGGuy3QDst/P0uVddVZA+StX1ymEsB+eM4AxHSsox7Jtji3nQW8RcaPGac4m60BQiOG9mMYuC9RFV6M8BTFMa31Vm0t8Oz0NVweQ+r1bPctQR+HSa3aEn/uATxg0fb28AIQjFviUQthFc8SxGYTHQIgmM8Z4gkifMVZZ51l5RBC7EAAw+RHIBgegJ1dBDK9Kv0RViFWtudESib+1BVDbLXYdzJ4/OJ5xdB4AEHZ32cWwm9bTX5mtqun0SkapyHPTuCZmjp1qlqGgOzvcYR0NjCpqJOwCjwJq950DEICgcIqaRVwn4cbPbB7q2oh1S6utpbHH7xDhvXrKlJyWOTYJpEazxP6wEOzX/cUGdgrVQb2TJOhfdMly7UeFxMp1TW1cjivRHYfypfiPWtUWcOyusrjv73fOjp0sQ/p/5ox1JyQUKSqqkqFAAi20QgRD8YHJmyC0AbhVCenCYywPzwOvQ1ThyAH0RNABGyLWJ2BgGvRdUB94BnqLxBWIWhC9LSXEawJnvy9B2hztK3pcQtPXAzbb6n3MI7DuXEugGuE1yzOE6xQBDBCDx8+LJdffrmVQwjxBIYag8WLF8ucOXPUsgm+r6anoBPaww4vNJzELl/Clunh6HQ8xEFfnqFmGb4ELk/g750W7lBfJw9EXIv2EnVqr/YC90SL4qiHk/iGfD05WVvWNRj3z18gNOrrxuRN3jxXcV4In4j92lbipP2Z8fTsoV30d80f9P3CdwrHeao/XmYEUi4hoUZlpbPTlSmomsLq2WefbS0R0jqggDU+WYQECNznn332WbVsCqtI1dXVagZlewoW9/72H7LoveUikQkiSb1dqa9Il6ZD4VMTY6Rv12SJjAhXDzv+K6+skbKKasktKpPivCNSt3+lSFWJzLrobPn1z+5Wx4UyL360Sx7412fWmsiZw7rJP+dyJk8SuuAFS35+vpqAIjKyaViO1gJhDV6QTmCovRZIATwbIbrBq9Kb6AbRUU9uBSD+QaCEVyXEQ9PLFIIejCB/REocr8tyQouL9jpDuMSETACiMI6HsWWe0+lYDfbDdZtD4yE8oi6ok75e+zWgTJzLl1dtIPdAt5eJ0/2w3wONvf21kArPXg3aCPsEQ1iF58PGjRvl4osvloyM5iFLCDnZ0L/l/MU0UAEEGwhjWoCDaKWFMmxbv77pJIz24zU4BiIQ/m5A6NEv5SAo2Yere6sDjjdFQDN+pwYTITl5YCJPnwuTJ+k6oP81RVK9Hyb9sQtzOB9EQF0XiGW6PXAtenZ7eKs6Ca/YR8/W7qmtgL5vnq7FH3Bdut9EfXAt+ppRb4jlAG3hJGz7W1dfBOv++YsWTM1nFvdMi7eoDwRwvR3Y77Wvaw/k/uB82Ed/VxBn1qwL6ovnDV6oOK8G9cHzZM/X4Huk286pXZH0896a+0dIR7JgwQI555zGEYYaPWmuTl26dGl4zrE/fusR0hrQy7PnJC3mxz/+sdxzzz1qWQuqAJ6pWkiFwAphBZ/B/kP96yf+Ja++s1yKyyrcAmt8d5HEniJR7mHZqI59AqaqykqpLT4qkrdDpOy4JMaEy5WXTZd753zb2iN02bwvT01yVFTWOHkX4pBOGdnDWiMktMB3H+JXQkJC0EXVtgQiI8RMeHt2dMgAeJgiQQxtyZB5jfbqBJ7E3fZAXw+Ah6unWKmBoO8XCNY9g6i6c+dOZeBSVCWnCq0VVoFdGDKBKIdtWsDz9LvQLnaZ4OUMBL/HHntMrTuVASEMwpHT8RDOsF0LYZ7ELm91MM+JfTwJqwCCFTxCndoD4HogVGoR06Q9hVWA86GuTtcMHn300SaCnIm/dfWHYNy/QMAzC+FRi8eewLnRPqibFsiBr2sP9P54+w5p7AK3L2EV+Lq/wJPIT0hnwElYhS6B33RICEuG34slJSUNn08++aTqpwlpDejlW/eXj5zSwBPpsssua/jBgE8ku7eqFlfbgi0798pPf/OkbN3p6hDxYyY8wpWiRaJdP1BRL+Spia5cqaZSzfgvdVWuVCPDBmXJw/fPleFDnCdqCiWO5JfJ3AUfy/rduVaOqNijmNiJkFAE33v8YIHIFR7ueWI1QkINPLcQf8877zwlaBNyquBJkPGEN5EI4pdprEK4ghjlrwAHcQdiEUQmAK89nA/CkPawA57qgOMhPOn9IFziWD3UWV8rynUSNQHOjevQddCYAirOg+24NlNsM9Hl2Id2oy66Pk7gOC1yeWtrf67FX9BeaDdTXEOZEBO91cHfuvpLMO5foOjnSicTnFt7jtrxde0trav9OwTwjKEu9nJ0nZHvqZ4au9c10O3r6RkmpDPQEmH1nXfeafiOEtJSKKySVoE3u1OmTGkQVAF+JGthVQuq+Gzt22tfrF67WV59Z6l8sGK1q6MsdeVAUMU5rU9rOTE+Vqafc4Zceen5MnH8aBwa8qzcckR+//I6qapujFGLmfQf+OppEhHOUMkk9ECMI/x4wQ91DLchpLNw4sQJFfcVwy8xEQIhJLjAgA2WZyMhhBCiobBKOgoKq6RVrF27Vg2LAVpY1UJqe3iremLLjj1SXAJx1UI95fWSmBAvw4cMUFmEkLYBP1owWRVieFFUJZ0JxHTEs3vhhRdSVCWkjaCwSgghpC1oibC6atWqZqMJCAkUWrykVfTt29daagSdF34o41On9mb44P4ycdyoxjQeaTRFVULaELxAycvLU8upqakUVUmnAT+216xZo2Kpzpgxg6IqIYQQQsgpQCDhOQjxBK1eEhS0t6oppupEbwRCTm4gqOKtLyapQjzK+Hj35HGEhDoQVHft2iX79++Xiy66SCZMmGBtIYQQQgghhBDfUFglrUILqgDLWkg1PwkhJycYMg0xFQkefvBS7Uwz/5NTF0w0sm3bNiWojhs3TnmpcuZ/QtoHTKyD2dGRCCGEEEI6OxRWSdDQHqr2RAg5OcD3GZNSwTsVQ/7h7RcbG6sE1aioKGsvQkIPxPvGpFTwTsWQfzy7kydPVoJqz549rb0IIe0Bhl1i5vRgzBxPCCGEENLRcPIq0iogrphhADBRlZ64qj0nrULgaR2QGhw5ckQJQISQltO1a1eJiYlRy9oTFaJqWVmZ+s4REqogHEVERIRaxt8GPL9ZWVlKRMUnIYQQQgg5uWjJ5FVbt26VhQsXWnsT0jIorJJWoYVVJFNQxSeGCbdVfFWUD/G0sLBQysvL1ezj6enpDROODBkyRMV6JIS0HPzYwHcNJCQkNAhVhIQ68E7F3yBg/m0ghBBCCCEnJxRWSUdBYZW0CtNjFUasKaziM9ggLt7BgwfVMryO+vXrx7h4hBBCCCGEEELIKQyFVdJRMMYqaRVmGAB4p+qE9WCCjnD9+vXq88ILL5Srr75azd5MUZUQQgghhBBCCCGEdAQUVklQMAXVYAure/fuVZ6ql156qZrogEP8CSGEEEIIIYQQQkhHQ2GVtBp4rZoeq3q5tcA1f+PGjTJ69GgKqoQQQgghhBBCCCEkpKCwSlqNFlSDKapi4pHjx4/LjBkz1CzOhBBCCCGEEEIIIYSEEhRWSauxD//Xny0Fs/1j8qtLLrmEMzkTQgghhJAOY+nSbTJv3usqYTkn54S1xc3ChZ+o5C/r1u2XgoIya61jwfXYmTPnv6qOHQnaGO1tb+tACPS+EEIIIS2FwippNabHqk4tBcP/Kysr1dB/QgghhBBCOpKlS7fLwoUr1fK8eW9I//73SXb2L9U6yMnJVclf5sx5ocOFS8255/7RWmpk3boDHS78FhSUq3bHZ0sJ9L4QQgghLYXCKmkViK9qCqqtCQUAUfXgwYMUVQkhhBBCSMiQlZUu8+bNkKVLfyBr196vBLtFi9ZZW/0HHpgQLSFewlvUl8CK7Z72Q15rBFBdJsp38sRtKe7ra6yvP+XiGNN7Nju7j6u9L1efwJ8ysT1Y10AIIYQEAoVV0ipMUVWnllBRUaFE1YsvvpjD/wkhhBBCSEgCsQ/JFPpMMIQ9LOzbDWnatEesLW7vV4iyGKIO71dvQ9Vx3KxZf1X7YdksB8DzFSkr66cN58K5TXCMWRdzuz43ykdC3TTw0PVVrj1p0C6zZy9UIQVwLDx8PaHbKjV1rvKexTk1pjetpzIhpOp6jhv3K5XvqU1xLnga6/riuNYI04QQQoiGwippFcESVnfu3CnnnXceRVVCCCGEEBKyQIxbtmy7TJs2xMppBALg/PkfyKuv3u76Tfw3lbA/8sDs2WcpUXb+/GsF3q/z51+n8p3APjk5D6v98Ily7KJhSkqs65z3q/Pcddd5DecBWMYx8LDF9vz8R+XBB99oEIT1uVE+Euqm8VYu6gBxWB+3aNHtat304MV6Skpcw7md0G21Z89DDfWDl6onnMqEsDxr1li1joRt8C62AwEW14666npnZ/duJhgTQgghLYHCKmkVwRBWd+3aJaeddpokJiZaOYQQQgghhIQGEAG1p2N29q+U2Dht2lBrayMQF2fPniSzZmVbOaKWWxI2AAKsu7yFynMVwiKSCcqG2KiXCwsbY5LiWIQv0MPpsd/UqUP8qou3ct3erAiN4J7QS4uuWrAFOKd5bid0W2VlZah1nM8Ud+04lbl48XqVp8E2p/uCOvfrl64+db0RvxUhGQghhJDWQmGVtBpTUA1UWC0oKJD4+HjXj6osK4cQQgghhJDQwS0kXq7S0qV3N3h7OqEFydYCERcCoD63kyemL+B52hbY6wKB1MmD1xfBaCt/y7DXGfVFvQkhhJDWQmGVtApTUDUFVn/JycmRSZP4o4YQQgghhIQmEO/gCYmkPSydwH52r1L3EPbABE54fyJhyDo8MnHeQEVInNO5Lq0TM1EuEuplJidPUW/Au9Rev0AZO7a3qwzfE1bhmhEWwV5nbx6yhBBCiL9QWCWtwhRTAxVVjxw5IoMHD2ZcVUIIIYQQ0ulBvM+nn17ZEAsV4iiGvGM4vQaiJPI8zfZvggmlsB/297WvHZwTMUj1cajT3r25qo6a5ORYlY9z+DujPsrFkHodUgDHwbM20PrBYxRl6LZCOQh7EAioC8IkQDQFKEuXZ4JrXr/+gKon0PFqnfYlhBBCAoXCKmkVWlg1BVZ/gbA6YcIEa40QQgghhJDQAkPIMdGRJ7BdDzOHNysmroKgqWeqnzNnehPPSHhKQpjErPeehD14c+K4K6/8qxIOtThrDmdHnUzvUywjhqoG50QZqAPqgjqhbqbHLSbIuuWWp9U5IOICf8uFCKpn6Ieoqr1ysb+39tJgP0wmNW/eG01m+teY5/RUJuoBgTY1da4qA2U13ovm9wXtjv2wP2LDmu1JCCGEtJQwVwpMDSPE4OjRo1JTUyNVVVVSXV0ttbW11hbvQFSNioqSs87iEBxCCCGEEEIIIYS0nAULFsg555xjrbmpq6uTiooKlUpLS6W4uFhKSkoaPrdu3SoLFwbmLU+IHXqsklYTqKcqyM3NlSFDAg9yTwghhBBCCCGEEEJIKEBhlbQKU1T1V2CFh2tlZaVkZHgO/k8IIYQQQgghhBBCSChDYZW0mkDjqxYUFEhWVpa1RgghhBBCCCGEEEJI54PCKgka/oqrhYWF0rNnT2uNEEIIIYQQQgghhJDOB4VV0ioC9VYFCBKdns5ZOAkhhBBCCCGEEEJI54XCKgkKgYir8FhNTEy01gghhBBCCCGEEEII6XxQWCVBwx9xFRNX0VuVEEIIIYQQQgghhHR2KKySdgVhAKKioqw1QgghhBBCCCGEEEI6JxRWSavQXqpdunSR8PBwlbCsU1hYWEMihBBCCCGEEEIIIeRkgcIqaRUQViGmRkRESGxsrERHRyuPVCTkRUZGqu0QViG0xsTESHFxsXU0IYQQQgghhBBCCCGdEwqrJGjU1dVZS43L+DSXIawiHAAhhBBCCCGEEEIIIZ0ZCquk1TgJqsDTMiGEEEIIIYQQQgghnR0Kq6RVaMEUn56WCSGEEEIIIYQQQgg52aCwSlqNKZ46LVNcJYQQQgghhBBCCCEnGxRWSVDwJa4SQgghhBBCCCGEEHIyQWGVtAoIp1o8tS8TQgghhBBCCCGEEHKyQmGVBAVTSKW4SgghhBBCCCGEEEJOdiisklbhJKgCiqqEEEIIIYQQQggh5GSGwippNRBRtZBKQZUQQgghhBBCCCGEnApQWCWtwslLleIqIYQQQgghhBBCCDnZobBKWo2TuEoIIYQQQgghhBBCyMkMhVXSKuilSgghhBBCCCGEEEJORSisklZDcZUQQgghhBBCCCGEnGpQWCVBgaIqIYQQQgghhBBCCDmVoLBKWgUEVYqqhBBCCCGEEEIIIeRUg8IqIYQQQgghhBBCCCGEBAiFVdIq6K1KCCGEEEIIIYQQQk5FKKwSQgghhBBCCCGEEEJIgFBYJYQQQgghhBBCCCGEkAChsEoIIYQQQgghhBBCCCEBQmGVEEIIIYQQQgghhBBCAiTMlerdi4QEzpYtW6wl/1m+fLncdttt1lrwQF02b94sBw4ckE8++URNrOUpTZ48WcaMGaNSVlaWVQIhhBBCCCGEEEL8QdvgSBs3bmxmd9fW1kp9fb0kJibKqFGjZPTo0TJ27Ng2scEXLFgg55xzjrXmBnWoqKhQqbS0VIqLi6WkpKThc+vWrbJw4UJrb0JaBoVV0io6Wljdtm2bLFmyRJ599lkpKCiQ+sh4lcJi00XCo1QnXl9XL3X1deoT6zWVZVKef1Aqi3OloviE9O7dW77+9a/LzJkzJTs72yqZEEIIIYQQQgghJrDBX3vtNVm0aJHbBo9OlfrwSAlP7NXE7jaXK0typaokT0pz9yt7HDb4nXfeKbNmzQqayEphlXQUFFZJq+goYXXt2rXy/PPPy7Jly6Q2Mlnq0odJWHwPCYtOtPbwj4r8Q1JybKcc27xUCa1f+9rXZM6cORRYCSGEEEIIIYQQC22DL126VOpiu0pdyoAW2+BFBzbKiZ2rpKLohHJyCoYNTmGVdBQUVkmraG9h9ciRI/KXv/xFPvroI6mM6yM1yUOkPibV2to64MV6ZP07kpezTr7//e/LvHnzJCUlxdpKCCGEEEIIIYScWmgbfPnHq6QqprtUZ4xTo0ODQXneQTn4+atSeGhbq21wCquko6CwSlpFewqrq1atkkceeUTyKqOkNGmk1EYlW1vcpCdGy5BeSTK2f6rERUeoZU9sP1gk+0+UyoETZbJud56UV9VaW0RKju6UnI/+JdFdqlUni+EJhBBCCCGEEELIqYS2wXMrIqU0dZzURcRZW9z0zoiTIT2TlO0Ne7xPZry1pTn+2ODd0uJl/vz5LbLBKaySjiLclea5FwkJHMRFCZS9e/fKhAkTrDX/eOGFF+TJJ5+UE1EDpCR5tNSHx1hbRAmpX502QK47p79MGJwpvTMTVYccGRkp4eHhKnXp0kUlgBgvqQmR0r9bgjp24pBMOZ6bL8eK3R17VEKadB0xTeokQhb88QG1/7Rp09Q2QgghhBBCCCHkZAc2+F/+9g85GjdGyhOHSn2XSGuLyKRhmXLtlCy56qx+MnZAhrLBM1LiJSIiwm8bfP/RPMkrbbTB0wedIWVV9fL3P85rkQ2+Zs0a6devn7XmBuXU1NSoVF1dLVVVVU3SiRMnZN26ddbehLQMCqukVbSHsApB9Y2335MTsSOlLLqnlSvqzdjdV46Qc8f2lJ4ZSRIdHd1ETA0LC2vozJH0Oj416GjraytlQHoXGZARIaWVdQ2de3xmlsSn95HX//2k7Nq5nZ6rhBBCCCGEEEJOemCDL3pnuRyPGy1VEY0jRc8b012+edFgmTKyezMb3LS5TRtc52ncNniFDHLZ4AMzI+RQfrWUVtVLl/DIVtngFFZJR0FhlbSKthZW33vvPXntzXfkQOQoqYhwx1rBEIPLJ/aWm6YPlrTkBNWZ6zdj6LDNt2O6I9edubkO8In94+LiJT0pTgZnhktCVL3sy62W2jqRmORuktxrhCxbvFASE+LkzDPPVMcRQgghhBBCCCEnG7DBX35ziRyIGiU1XdwjRWGD337pUJk+rrekJsU3scFN+9tucyPpPKDzwsMjlA2emhAjo3tFSl1drezLq1b7tNQGp7BKOorG1waEhBgrV66UF198UY5FZEllF3esFnTo9183Ri47o7+rI45reDuGTl0n3bmbeWa+U0JnHxkVJalp6XLWiG7yzanpkhzr/nrEpvWSPmdcLT/60Y/k6aefVnmEEEIIIYQQQsjJBGzw5194RQ5HDJS6sAiVhziqP7thrIwZ2FViYmKa2eCmXW3a307bkWB76+WY2FhJS8+Qi7K7ydWnJUt0hFuApQ1OOhMUVklI8uWXX8pzzz0n++v7SYFkqDzdoWekJUlUVFSTzhnJ7KB9Jb0vPu0pNjZO+nTPkG+c0yiupg44XfpN/qrq2JctW6byCCGEEEIIIYSQkwHY4E//6z+ys36QVIh7kirEUn3gxnGSkdrUBncSTANJdhs8PiFRxg3MUOKqhjY46SxQWCUhR15envz3v/+VQ7VdJbcuVeXFRoXL7OmDJD0l0WPH7JTvLZnHmJ06Et7CZaanuTr2lIa3ZujYIzKHybXXXisFBQUqjxBCCCGEEEII6czABn/++edlf00PKa+PVXlwbMIE0bGxsU3saLv9bN/mLZnH2VNMTKyM6Jchl41JVOcHtMFJZ4DCKgk5XnrpJTleFi77K9PVOkTVH1w5Ugb1TmvSIZufvpKn/XQnbi4jIe4L3sIN6JkqX52U2iCu9jrjOqmqj1JvzQghhBBCCCGEkM4ObPD9JdFyrDpJrUNU/eGVo9ScJqbNrO1mvewt6eM87W9u17FY4RU7cUh6E3GVNjgJdSiskpBi1apVsnvvAdlS4hZVwc3nD5SBvVKVF6nueHVHbO+cnZK5v6ekO3IdTFsvR0ZGSVb3ZDl/RIJVG5E+U25Wb/OWL19u5RBCCCGEEEIIIZ0P2ODb9xySnaVpah2OTTdPHygpSXFNbGqddJ63ZN9P29g6meum/Y3P6OgYOX1wmpyW5facBbTBSSgT7krz3IuEBM6dd95pLfnP3r17ZcKECdZaIxUVFWqyqu150XK0PFrlnTemu1w0oY+adRAdMrxIdQesO2z7Msrfs2eP7Nq1Sy3n5OSohLz9+/fL9u3b1ZuwpCT32zjMFKjBsj2FhXWRzMQucii/QvJKayUiJlFqKwpl+5er5Ktf/ap1JCGEEEIIIYQQ0nnQNviXx2OkoCpS5V05qa9MHNZdOTbpWKp2m9u+vm3bNmVn79u3T9ne2g6HDX78+HEpLi5WwinsenzCzgaePrt0CZe+qWGy7VC5lFbV+2WDr1mzRvr162etuUF5NTU1KlVXV0tVVVWTdOLECVm3bp21NyEtgx6rJGTYuHGjlFfVyp5i95spvCm74oy+SgS1v8VySgcOHJAVK1aozn/EiBFy3nnnyfnnny8XXXSRXHLJJXL55ZfLxRdfLOeee67q4N955x0pKSlRx6Jcnezrqi6x8XLByKSGkADpw6erN3s4HyGEEEIIIYQQ0tmADV5UUScHSmPUOkIAXDCuV4NDk91GxqeZ4Mz00UcfSUJCgkycOFHZ4BdccEETG3z69OkycuRIiYmJkaVLlzYpzylp4uMT5PyRjSEBtA2O8xESSlBYJSHD+vXrZXdRjFTXuTvTyyf2lsR49xste8er13WHjhkM8RYMnfaYMWOkZ8+ekpiY2CylpKRIVlaWXH/99XL11VfL+++/L1u3bm1SPtDLZl63tAQ5vb9b9I2IS5HkrAnyt7/9Ta0TQgghhBBCCCGdCXhrbs1zi6rg2ilZylNV28GmnWy3weEhCo9QODPBBu/WrZujDY4E+xzOT1dccYX84Q9/aPBgNcs3E8DI0cE9k2Rwtyi1rm3wBQsWqHVCQgUKqyQkOHjwoJSVlcn23Ai1np4YLedn91TDC5w6WiTdCe/evVvS0tJk8uTJEhcXp47XYPjBvHnz1KcJ3sCh47/77rvVsIWioqImZQP9qYmKipaJA+IbvFbjewxXwmxhYaFaJ4QQQgghhBBCOgPaBj9YjAiRIkN6JsnQ3slNxE6gl5H0ti1btsiwYcOUl6rdBgcLFy5UyU7Xrl3lN7/5jXz66adNykUC9vWYmFg5f0Sj1yps8Pfee482OAkpKKySkAAxWAoquzR4q47tn+q1Q9frOl7L8OHDVZ6dOXPmyIMPPthMWNVAYP3xj38sy5YtU+tO59DLIDE+VoZYb8xiuw2ViOg4FVKAEEIIIYQQQgjpLMAGh6iqbfBJwzKVDQ5Mu9ieIMhivpLevXurfe3AC/aWW25xFFYBRpHecccdsnr1aivHDcp2IjMlVromusVf2OCRMfG0wUlIQWGVhARHjx6V3XmNj+Ok4Y2dOrB3slivq6uTw4cPq4mwIJBq0IHDSxWi6uLFi61c70BcXblypbXmGQyLGNzNPbEWiM3or962EUIIIYQQQgghnQXY4MdKG23usQNS1YhRb2ACqNzcXOWtaqJHiiLNnj3byvXOzJkz5YsvvmgQbDX2dYwcHd27MVwBbXASalBYJR0OZuPDUPy8cvc6wgD0yYh3r3ghLy+vIY6LCYRVeKk+9thjVo5/nHbaacr71Rvh4RHSL8PtsQqik3uoGK2EEEIIIYQQQkhnwG6DY9KquOhGZyVPQIwdNWpUE8cmAGEVNjgS5k7xB3iuYrZ+X8AGH9K9UVilDU5CDQqrpMMpKChQHfOhwjq1jk7dDoJim2Ad8WAyMzOtnEYw0yC2I02dOtXK9c24cePkwIED1ppn4mIiG4YiRKb2kR07dqhlQgghhBBCCCEk1LHb4IivCky7226Dg/LyciWI2pk2bVqDDb5kyRIr1zeYUBph+ezntZ87LTGqYa4T2ODbt29Xy4SEAhRWSYcDgbS0utHVX3ur6g5Vd6r2dcwsmJGRoZaDRWpqquM5TTA8IjnOLax2iUlSf5D8EWQJIYQQQgghhJCOxm6Dpyc1hrtzsoeRcExycnIzb9XWgPJg1wN9Tidgg3dLcp+XNjgJNSiskg6noqJCSqsaO3XTY9XsyM1UWVmpAmYHmx49eqjygT6XnbCwLo2derS7Uz906JBaJ4QQQgghhBBCQhm7DW46N+lP+zKG7dvD8AUD2PX2c+l1DWzwrrTBSYhCYZV0OJikygySjdguZoeKhImqzGUQFdUY6zRYYGgD0OfSy95Ap24G1yaEEEIIIYQQQkIVuw0OtA2sE+xu0w7HMeYE08ECZZrnRXIiJrLR5qYNTkIJCqukw/HUqetO3PzUy+hE7ccEA9TF/OOB5AvUg506IYQQQgghhJDOgCcbHMm0h01bvC3sb6CFVfO8vqCwSkIJCqukw/GnU8enmYD+DCalpaUN59bn9QU79eAwb97rKpHg05K2Xbp0mzoGn8Gkrco9FWnJfW1LFi1ap+oze/ZCmTXrL7Jw4SfWltaBclBuTs4JK4cQz3T08xLs8wfaZ/L7QgghxB+cHJU82d+1tbXqE/unp6dbewcPuw2O5Ava4CSUoLBKOhxvHqueEjp3xHgJNtpjVSd26k2BoRYW9m3JyvqpldOcOXP+q/bBpxMFBWWOZTz44BsqtTWnorDXkrZdunS7OgafgYC2RfJES8slzWnJfW0rcM+vvPKvqj5PP71SFi9eLwsXrrS2egZ9Co71JsKiHJSbk5Nr5fgGZaKfmTbtESuH+IOv/hH5aFekUKUlz0swCfb5PfWZeLZxH+z9bXtcP54DvEBJSZnT8DzohJcq+DtPCCEktGmJDY7tOC7YIN6rLl9/OlFYVmstUVgloQWFVdLhIAD2kF6NE1FtP1ikPs1OXCcIqjpVVVWp/YIFhNqdO3f67NDr6+tkX261Wu5SVaA69cGDB6v1k52srAzp1y9d9u7NVYKIE9r48ySc6fxp04aoz/bGk5FKggPaFomcOqAvwD1H37Bkyd0q5ec/KvPnX2vt4RmIPzjWHxGWtD3sH4k/4PnAC5TCwnIZO7a3TJ06RKXk5Fj1UsUu9hJCCAk9YIP3yXRPWAW0Da5tYXvSjk1YDiYlJSWyf//+hvN4ssHr6mqlsNx97lPNBiehD4VV0uFERkaqjjEmyv04llW6PVHNTlwnvY7PsrLgekTs2LFDMjMzG86L5ATOX1Ftder1NarubTE7YqiiBVEnwxteKuvXH1DL+HTyWtGeUB0lrBJCgosWRWfNGuv6Xg9VKSUlTrKz+6j8jmDevBmuH+Z/c/U3P7BySDDAvUW7IpGOBc827gOe9fYmKytdHn30WvUCZd26n6m6IC1adLva/thjH3p8+UoIISQ0gA2eGBdtrTW3wXUybXEIq/AuDSZffvml6zdjdpNzOoH8o0XuOp6KNjgJbSiskg4nKSlJdYy90+PU+ua9eZKfl9ukc0Wyd+pFRUVSXe32HDVZt26d6wf+UpUKCgo85pmgvLVr16qYMfp8niirqJZjxe5hCNHV+TJ+/Hi1fKrgTVjVeTNnjlWf3vahsErIyQXEVELIyc/s2WfJnDnTm33nIbzDcxV0VCgGQggh/pGcnKxs8EE9EtS6tsFNmxvJbofDBneylWFja3sbtrenPDs5OTlK5PVlgx/Kq5DKGrc366log5PQhsIqCQnMcABHCqvk0PFCJXaanbi9U0cogKNHjzYbLjBnzhw599xzVVq/fr3Kmzt3bkOeU6eON2XdunVrGN7gaQhCbW2NbD9Saa2JRNWVyKBBg6y1UwMtiGKiGjvwRsVwYBhdet1Ee7RiH4QVcAL7IEabPW6bp5itiDOHeK32/VGGvY7YVw9Tx6e5vz9DF73FmEWMSGxD3Dk7Ou6sPY4kzump7uvW7bf2akTH1LO3q8bXdidwnuzsXzY7v5Mo7g2cE8dqzPLMfBPcH3uMPrSH07UDnMNeVyRct6djfIF7YJaF8+N+6ftiR+8H8Dzg3KiTWW/kebqvnr432I7j8PzjGTKPx7LTcZpAvzO+wLmc2hl5gXynfIG2P/fcP6rlZcu2NzkW5Tphv196X7t3vNmmdrAN+WYZeA7Rht5ivTqB86Kd7c8x1j31Kfoem/vjHnt67vQ1eyrP03Y8j7hOp7rh/PbvDPb1p3/UeXZQntNziGvyVHe9T7CfYSd0u3tqD/szpEHdze+jTqhvoP2O/juBcwZ6rB1P990b3s4frP6VgiohhHQeVDiADHc4ANjguQVFDfawaXfrhG3FxcWuv5nNHZVgY2t7G7Y3gC2u82Cj2/nwww+le/fuDaKqJxu8pqZa9uU2hgE8FW1wEtpQWCUhAd6YjR+YYa2JbDhYIZVWEGtPHTsSOvXCwsImnfD8+fNlyZIlHhOGGpgcOHBAxXWJjo5uKNcTVVWVsv1oo7AaX198ynXqOs4qYqs1N8y2u4ywISrpdRN/vFVhwK5bd6AhZhvOBTC00Mm4gyCDmK/YF56yDzxwuToGcd4wmY4plGRn924oD5/6HEgY2ugLbzFmteDkLJw1v+758z9Q4oWuu06IV4e6z5r1V4+GfrBAXceN+5UyhM064Pxo10CA5xKO1ZjlmfkaXD/uD4aLm/ugPZyEAhj9EOEKCsrVPdbp5psnqbpCGAkUiAi4BzpG4F13nafuEYa2ox7eQP2zs3+lzo2XBdhf369AnkkTPN/u5x+f7ucTdUNZc+a8YO3VnEC/M97A/qgjrsmMnYiEPGwzy/T2nfIFrhHnAIjNaB6Lcu3gO4F21/voY9He/sZo1c8RrsE8H+qC+xNorFfUCe08a1Z2k+cS3wc8W079AYQqxKdsyXMXCHge9fcY58F3BecCOL/7u9/Yj7Wmf8S50BZoQ/ux2Ia2wL3zRDCfYU+gj8B1A7N+uFfId+pDgtlP43t/yy1Pq2cdw+bbO1SGt/MHq39FOWgrnKMjQ4EQQgjxD9jgw/qkWGsuG/yA2waHPezNBj9y5IiUl5dbR7mBje1ke+sEG91kw4YNSqiF16y2+T1RXV2l6qY5FW1wEtpQWCUhQVpamvTvkSzpie44L+g4y8vLHDtynbRH6969e5U4qjtjdOrTpk3zmFJSGv94bNu2TTZv3iwZGRkqrADK80ZJWWXDxFXxtbkSFSFyxhlnqPVTCSfhFMYlhBcYUzBUYXhi3TQ6YXQB78JquiBOm47Ztm7d/Q0CipMgtWTJ3SrOnDu+23cF8eZych5WRiEwvWfmz7/OZSBOUsv41OdA0l62vnC6dqDXITjbxRS0A4QC7aWLNtHiIepv1gPx6mDMwjj1JkS0FtRBi3Xm+ZHQnrr9/AX3Hcdq7GXaQTvhHOY+Tz11s9oGwcJ8biD+QMBwCwJ3q3us08KFsxueNU+CpRNoWxyDOugYgXg+UF5BQdMffk7MnfuCOj/uH+IMrl17f4OQEMgzaYI2wfNltgnqBnEWz4On6wv0O+MN/UyY7aKTvj+myOvtO+ULfOf0BFf6+dEJ5TqB+6P30d8Vd75/16nrjvOa50NZuG9Ogq4n4E0J0QliJeplPpf6uuyCeGufu0BAm+K5RLk4D86Bc+FZ1OFagtU/4rq0+IjyzWPxPAL0eeb32iSYz7AT+NuDfgV9iL1+WEf/jO36bxQIZj+NawhVUTVY/av5NwXH2sMEEEIICT1gg582pKvERoWrddjgFRXlTWxupwS7edeuXU0cnGBjO9neOpnOTR999JEaeRoTE9NQpjeOF5Q3hOI7lW1wErpQWCUhQWxsrEpTRnZX65jxb21OsVRWVjbpxJEgqGpRVX8eP35c9u3b1+zNmScQRgDD//G2DZ6qWEc53oC36urdpQ2xXVIlVw1riI9vnE3xVEGLi6aAaPfKhAcXMAVI+z5OwGA1jT4YZzDSADya7CCmmxOeBNDW4lQu2gGimBZ5mrZLczEZnmnYHwarU/3nzXMLcG0prGrvONS5vY18AGFJ31cNxBstppheavPmvaHaC2KVUwgJxPoDTt6BntCCiT42UCBY4VhzoiYtJLT0mYQoBSHWLkhoUcuTN2Wg3xlPoM21h6NTu6AeEKCwT7C8CAMBwpvuVzRawITw4w96P3s5APfNk6BrB2IUvCnRHk7HoHxsw3es6bPcuucuEPRzacfMD1b/qPsqp+vCdxb9DL7Dbf0Me0LXD4Kx/fsFnPrcYPXTuP8QHDtKVPV1/mD0rxBd4XWM7xfudXs834QQQlqP3QaHeLnrSEmDw5FT0rY47Ofdu3fLnj171LI/YL9Vq1apchBXVZfpDQi9K7aXWGuu3wj1J05ZG5yELhRWScgAr9GLT+8rsdHuN2YrdpRKQVFJQ4eLpIVU+zK8VU+cOKE8UDGsH7FfnCa2wiyGO3fulM8//1xKS0tVni7DF4XFpfLZHrdwGymVkhpeLFOnTlXrpxpaINIiDICACMNNG22NIpJbWIQ3C4wu03PTX1JSYq0lz8DogwcZhtki2T3FgoWTOKavHd49+GwqrLr3M4VV3SZO4g5A+8CYh7HbVgKWHgLsqQ4dhZPoodsQnxCm7ElvxzBWf8CzqAUTp/P5gz/iSLCeSafvmy/8+c7Y0e0IgddTu2Dmf6D37WgCvX/ofwCGNuvvYUswr9/pmUTSaC/NYDx3LQHnhfCFa9bPoieBsyWgj8J1AU/9ic4PpM1b8gx7Qt8v3/VrvK/B6KeRj/YGHSWq+jq/vmZ8Oj3Herun/hXPFbxh0Q54YYa/g4QQQjoP2gbXrNhRJmVlTW1wJC2omjY4Ul5enhrWj0moYF872eBwfsIo0U8//bRBhNXHe6O+vk52HCqSDQfdofhOdRuchC4UVknIkJSUJKlJ8XLxae6OHV6rq3YWNQxHcBJVzQ4eCR6uhw4dkq1bt8r27dtVJ4+g2Zjxf82aNcpLFQIs9oXIik9v8Vw0qMP7G4savFV7hh9zGVVZMnz4cLV+qgGDUgsU2viE8WUabfDwcXvINBptwBQYWwsEAz3hCWI/BjMenyf0tcMTTYuTixYh1p7b+MYnDEwtrur6mNftjwCohRctygQb7QUWTPGirUBbA8RBRLxDe9JxE/1F35O2ELfa4plsLxHOn2etrZ/LtgZehuiXMOwbMSX15DwQwH0NdTbRQ+jxbDo9k0j6udW05XPnBM6HOMKpqXOV8IXviacwFK3Bv+fG3c/4+/Ij2Gjh1xP6npj7tbafRh+LZ8v99+D2DhBV/Tt/a/tX/Uzt2fOQ6/vVdBQCIYSQ0Ac2eK/MZDl7VA+1vi+vWlZuLxTENTXtbW2H221wvY6h/Rs3bpRNmzY12N6rV6+WlStXquXc3Fxld+sy/LHBERpwxXa3MxSADd6/f/9T1gYnoQuFVRIyhIeHqzgv104dIhnJMSoPb8z2HSt2db7NZyc0O3SzU0fCmzBMbFVUVKS8V0tKStQbNLwtQ9L7e5p50ATn3pBT0PCmLCm8TLpHl8j111+v1k9VtFAIARFGJbxR7aIp1pGP7VqADaawCk8ZCCQQOhEDD3EtdTxBPUS4LdDXALEY4gUMU1NYBVpYxT4t8dIlzdH32FPCfe9oOuqZJP6BcAaI34m4qPDMBfAEhgAO8TEQcRWgDPtzaE+eQkO0JehzETcT/S/qCNELddHxRXUsVdJ2IA6zFl7hre6PAB1MAj1/a/tX/o0jhJDOibbBb75wuMRFR6g82OCHTxS5+v+mE0lrW9tbgs1dVlambG44PemwAtimy/HHBoewu2RTvhJ6AW1wEspQWCUhRWpqqsTFxcl3rxhj5Yg8tzJfDh1HYOw61QnbO2a9rpNTnpmwzZ83ZADnPHisQN78slitR4TVybD4EzJu3DgZMiR4AmFnxBQXPXmjakHB2z4tBYImBCz38v3tKl6Y1w4BFR5wprCqwwHAoxXeQvZr1jNsezN0tReQ02zcwfD66mgPskBo9I52P0OtxZ/2bwlt9UxqT0c8V21Ja5/LzgIEIMRFhVAEwQjxcnV8ZH/DNejrDyw8g1vkaqnXaCDPq46hjKHquM62FL3MZ8FTHTv6udF9iKf+To8+0PuB1n4f8ExByMYnBG68dGlP/D1/a/tXiPR6Yj5CCCGdE9jgmWnJcvuM0WodozRf+ixfcvOL1LonG1znmfl63Z6wzV8bHI5NW/flKYEX0AYnoQ6FVRJyIM5L9qDuDeKq2bHX1TXGYdFvz3RHbX7ak+7I/Xk7psG5cM6XPy9oCAEwNKlQedNeeeWVav1URouFMNi0d6ZdSNL7YDv2gwEXLAPfNHa1YNFe2IVVLapqsA5BVYs0dmFVD8lECAEntBcshDSn9mpNbEhNYx08T0gSKpjtHQzQpngW8Uw6iSaBCFgmbfVM6ntkf86CjX4m0C5aaLKj69Lew5rbElyLjgtpDgX3hvmd9vf7qNsM321P7euNQJ5//Sy2R9+I75MW/T31Jx393GRnuyfF81w/d1+s9wO6ri3tp7VXMDzVIXDjpUt7iqv+nr+1/Su8wBkCgBBCOj+wwc8a1Vumjuml1jGR1Wtr81W8VTgbaUwb3LS1zXUzP1AbvKamWnYfypeX17hFXTAksYA2OAlpKKySkCMqKkoNRzh/QpZMcxkDAB37P5Ydl10H81wddI3KM0FnjYSOWyed1xIw9ADnwjlxbpCVWCZ9E6vkuuuuU/U71dHiFEAMNhhudmCYYh8do80uMLYG00PILmxgffbsp621pujjYGC3VEDT1w6jGiKUk7AKtPei/bph8MIYx/GYHMQExro2fu0zK+tyYeibdYdIgxiRgXjPaaMb98befpjl2tdM157Qz0SgQ6q9odsB14f2st83rCM/kHPqMrOzf6WeBbQBEsrA7NYtoaXPpAbXYRfcUB/EOQR6FvK2At9XPTzePnQYy4gdC+ER+wRLINNthnvbErExUBBzVHsAm+g8/fz6An3AzJnuibzQVvb7DZCHNjPRnrEYpm/WA9euJxmyo7/36GvMY3BPzOfDRLcr9jfvI/D2/W5p/6i/TyjX3r74bqIvRJ+n+532RtcP12UXV7Gu+2Gzz21pP20H4ja8hvE3Ev1te4qrwNf5df1b2r9iG1J7fH8JIYS0HbDB09PT5a6rJ0hWtySVt+NolTy9/JhyNmoPG7yqqlJWbT2uRqxqxyba4KQzQGGVhCTx8fGSmJioOnYtrmIyK3SyEDwrKytUXluAsjH0AOfCOQE687GZlTJ9+nQZMWKEyiNNBUNPoqk/+7QECBuIkwggUkCU0AmT0ngSBSBSwFiGSAFRDftDbLEbzr7Q14KynIRV5AMINXZvJhi68CLCPhBFYOhq49SMi2g32E1D36x7//73uYzelQ3n9Aez/dBeuu1SUuao2HwtRQsniFdpltkaIOI99dTNDe0F4VOXjWVMzoP8QIZYo20hcqEtMckU2gDJXe+WPactfSY1uO+4l7inOAafqA/A9dufo7YAzyWeWQhhuAbzuUQetgUzViyuSYu5+pnWqS1AG48b1/Q85vkCuTZ4uaLuKBP3V983JEyKhTz9ckUDcRxtqOuB/ZBw3z09v6bgbdZXT0rlJAbDixBCGoRws11RR2/f75b2j/g+6bYwnxv0bfhuoky0bXt40DqB0RT4bqI9UCe8iEL98Il15GO7Oeqipf20E1rcRFkQN1v64qqleDt/a/tXbPO2nRBCSOdB2+C/unVKg7iKGKfPfnxChceDN2lbAI9YeMau3p6rQvBpUZU2OOkshLvSPPciIYFz5513Wkv+s3fvXpkwYYK15pmYmBj1tmv8oAzl+r966xGprRPZcqhSpK5auiWFqWDbXboE5/0A3sKVlharINlvflmizgXO6FUtozJrZMyYMXLBBRe4M0kDR44UuYyvdPnOd87xKPzofWCAejKsMQwR+0AQsIO4eFtd9x/DNC++eJSVKw3Lq1btkW3bjiqRDOLVT35ysUow9OzHxMREutZHuo7Z3XDM0aNFLiNySBOj2h9wXddff7rjcRUV7h8eECqctsOYRT1wXRBf4C2kPU5Rd4g2qKuJrjuOgVGv6w7j/p13vq/OiX1wzu7dk62jPLct2gXt9emne1RZSDj+ySe/qs6Ddke7BOKdqK8V16LLrKysET1UFPfEW7nwBHO6BuyLZ8y8diQIIhCW8GxB1A1EuME50C4o233/h7jqebmr/S9RQgGwD3H19pyCljyTyIPYgetAnfSxuLcQx55//puu/HHW3o205DvjC7Q52hHPtvlc4jogRC9adLvrnE2/577uqS9wzfb7al6Xp2dC49QOnq4f+2Gb+XwinXnmACWi4Rz+gjrhnCgTM7Dr+40E4NH6m99cJcOGdVfrAM8n2hf3WO+He4xnG9/53/72XZVnf+5QL9wT87uK5wX3A23u1P7om3CMea2oM67T0/cb2331j07trdsCYPu7725W59Xi4/PPf8vxOWyLZ9jT84IycK1m/dCe2AdtP2fO+daejWD/QPtpT+fXbYuy3NfVx/F5tuPp++UpvyXnx3JL+1d9D+3nI4QQ0jmBDR4Z0UXOy+4lR/JLJMf1W6K0ql42HKiQxMhawTQNkZGREhYWZh3ROjBSNL+wRP63sUCWbSu1cpva4BdeeKGV6501a9a4/m71s9bcQE/QoQkwkRYmuTbTiRMnXH87nUMFEeIv+Da0zE+bEBdbtmyxlvxn+fLlctttt1lrvsGMgvn5+fK/NTny51fXWrkifdMi5bIxiZLh6t2jo2MkPNw9i2Gg4M0bvFR3HymV/20uaRj6Dyb3q5cBqXXqLdnIkSOtXELIyQyECXgTQvBat+5nVm7bgSHj8G6EAAWvMnLqAu9VgEm1CCGEEEI6Cm2Dz3/pc1ni+m2sGd0rWqYMjpfM1Dhlg3fpAl+9wIGgCht8z9Ey5aWqR4qCltrgCxYskHPOOcdac4PwBBUVFSqVlpZKcXGxlJSUNHxu3bpVFi5s3zA95OSDoQBIyBMbG6tmKrzw9AFqWEJcjFtAxbCEvy7Nk0WfnVDhAYqLC10dZrkSSs0A23YwKRX2wb5FRQWyZW+u/HfVCfn3p4UNomp6fJhcPiJCxvSJU2/IKKoScuqAob4AHliEEEIIIYScamgbfO41p8v3rxzfYINvOFgp/1yRL6+uPi4HjuRJSUmREkj9scEhppaXlyobfN2uXHl2hdsG16IqbPCrxrht8Msvv5w2OOk00GOVtIr28FjVVFZWqrdK+1wd+Gsf75Q3Vu22trjpmhgufdOjlCdr3/RIiYl0fm9QUV0n+3KrZcfRSiXOmm/HwLg+0XJ6v0jpmp4iU6ZMUUG8CSEnH4j9CvEUw1g1GNaKob7wVoX3aCChBVoKPVaJhh6rhBBCCAklTBv8sZfXyKacpjG1tQ0+pJvLDnd9eqKwrFbZ3vtyq5rZ4NERYTK8e6RMzIpqlQ1Oj1XSUVBYJa2iPYVVgI4RHSLS+p1H5X9f5MjSdQesrS0HnfmQ7jFy1sA4SUuMUsGxBwwYoGZHJIScnGgRyw5iiSJ2YntBYZVoKKwSQgghJNTQNjiESNjgr6/cpeY/aS2mDZ6aEKk8VFtjg1NYJR0FhVXSKtpbWNXU1taqzrCsrEx2HsiTVVsOqc5979Fiaw//6N81VrL7JUi/9GhJjAmTrKwsGThwoJoRkRBy8pOTc0JNAqOB92p7zL5PCCGEEEJIZwI2eGEhwu9VBMUG75sWJUmxXYJmg1NYJR0FhVXSKjpKWNWgc4e4ioRhCkWlFbJh93E1eyFmAKyrr5P6uvomy/jsmRojI3onqOMRP6ZHjx7Sq1cvNcMhIYQQQgghhBBCmgMbGqKkFiyLyyrl0y2H5Vh+WTO7G+t6eUDXOBnQLU4dn5SUJBkZGUG1wSmsko6CwippFR0trJrU1NSo2Qurq6vVp+rUXR0pOm58Yl0vQ0xFSk5OlpiYGKsEQgghhBBCCCGE+ENVFWb3r2xIdrvbXE5ISFDD/NvKBqewSjoKCqukVYSSsEoIIYQQQgghhJBTDwqrpKNwnjadEEIIIYQQQgghhBBCiEcorBJCCCGEEEIIIYQQQkiAUFglhBBCCCGEEEIIIYSQAKGwSgghhBBCCCGEEEIIIQFCYZUQQgghhBBCCCGEEEIChMIqIYQQQgghhBBCCCGEBAiFVUIIIYQQQgghhBBCCAmQMFeqdy8SEjhbtmyxlvxn+fLlctttt1lrbcPKlSulvt79aOPTvnzOOeeodUIIIYQQQgghhLScoqIi2bRpUzO7W68nJSXJ2LFj1XJbsWDBgmZ2fl1dnVRUVKhUWloqxcXFUlJS0vC5detWWbhwobU3IS2DwippFaEgrKITX7x4sXz66aeyefNm2bdvn9TW1qqEjlQv29dHjRqlEjrfmTNnSkpKilUiIYQQQgghhBBCnDBtcAiq+/fvd7S57esjR46U0aNHKxv85ptvtkoLDhRWSUdBYZW0io4UVrdv3y5///vfZfXq1VJYXisS113CEnuIRCVIeHymhEVEW3s2pba6XCoLDkt1ab4U7t8gRYe3S1x0hOqEH330UcnKyrL2JIQQQgghhBBCCIANDgFzyZIlUhse67bBU/qJhEdJRHJva6/mVJflK/u7Iv+QlBzd2WCDz5gxQ+bNmxcUG5zCKukoKKySVtERwurOnTvlz3/+s6xZs0aqY3tIXfIAkaS+1taWkb/7MynY96Xk712vOvf58+dTYCWEEEIIIYQQcsrTxAZPGix1ib1F4rtbWwOntqpcig5sDKoNTmGVdBQUVkmraG9h9cknn5RXXnlFKqK6SkXqGKmPjLe2NNI7I07ioiJkSK8kK6c52w8Wyf4TpVJeVWvluCnPOygHPntFpPSIzJkzR709I4QQQgghhBBCTkVgg7/88stSHt9fqhIHebTB0xOjpU9G820aTzY4PFgPr3tb2eCwv2GHtwQKq6SjoLBKWkV7CavoBO+77z7ZtvugFCaNluqodGuLmyE9k2TSsEwZ0jtJMpJiJCwsTCUzeLb+1MvYnltUKR+sPywffnlE5Wnydq2WQ2vfkqEDesnSpUsZf5UQQgghhBBCyCmDtsE3782TkrhBUh3d3AY/b2x35dAUHxMpXbp0UfkttcGPb1kmRzZ9KMMG9G6RDU5hlXQU7iefkBAmJydH7rjjDtl1MF9y0yY3EVUhpt537Wj54dWjZOrYXtKnW6rExsZKTEyMREdHqxQVFaVSRESESuHh4apDRyebHBcuMyZ0ldunpcngblFWqSJpAyfK8CvuUefEcIR169ZZWwghhBBCCCGEkJMXbYNvOVIt+alnNIiqsVHhygZ/6Ovj5EdfGS0Th3WXjNQkZYNr+9tfG/yWKalNbPDM4VNlxBU/oQ1OOh0UVklIc/z4cXn44YflRG2KHEmcKPVdIlU+hhncPWuEfPPiYTKkb4bExcWpDhwdttl525fxaSa8VYt0dfj9+3SXr07urjr3ronh6hzhUbEybMaPJbrbSDn33HPVHxdCCCGEEEIIIeRkRdvg++r7Sl7cCCvX7aF6//VjlA3ep7vboak1Nviwft3k+jMz5arxSRIdgcHUtMFJ54TCKglZysrK5IknnpD8qmg5GjnYyhW5Zko/+fmN2TJmYFflmWq+CfPUiZvL9oSOHcJsalq6DMvqLjdNyZDTsmKts4n0nXyjSEJ3ufrqq6WgoMDKJYQQQgghhBBCTh60DX6gOkOKw7tZuW4bHB6qGCEKGzwyMrKJ/a3tbdPuNpftSdng8fGSkdlVJg7vIXdMz5S+aW4nKqBt8Kuuuoo2OAl5KKySkAQdOmYF3HUoX/Z1GWTlujv0i0/rq4Yb6LdjTsns2J2W7QkdOxLK7NGtqxqaMH14Y+Dt/lO/ITsP5lFcJYQQQlpIQUGZLF26zVojhBBCSCihbfCNByvkeFgvlYeh/7dfOlQuOb2fckaCoOpkTyN5ssHNfWBz29djYmJdNnimXD8ps0loANjg0ANog5NQh5NXkVbRVpNX/d///Z988sVW2VTeR2rFPTT/8tN7y1VTBjQIquiEEadFfyIB/WkGy0YsF/1ZW1vb7BOppqamYRmptKRYXl9zTD7PKVfl1FaVy7bXHpLrr7lK1Y8QQkjbAAFu/vwPrLVGZs3KluzsPtbaycmiRetk3br91pqblJQ4mTNnurXWecA9XLjwE1m//oCV00h9/d+sJf9Bu8yZ84Janj17kiudpZYJIYQQ0npg4y7/YrtsLu9r5YgKv4eRolpQhe1t2t8tscE9paqqKmWDP/nBYTlWXKvKCcQG5+RVpKOgsEpaRVsIqytWrJCXX31d1hZ1k9LaaJWHANm3XjhEvSUzO3TdqZuduwaduJnQqZrJ3pGbwqpeLi4ulEWfnZANBytVmRUFh2TXO4/K22+/LVOnTlV5hBBCggsEublz3QKaydixmCX2B0poPBnJyTkhs2b91VGIfOqpmzuNkKgF0GXLtls5zQlUWIXYnp39K9m7N1etP/DA5TJv3gy1TE4eMAu0nezs7IBnhiaEEBIYsMGff/kN+byop9TWux2bbj5voJog2hwpqm1v0/721waHfW3a4U72d3V1tRzPzZdnPz7RIK5W5Lts8Hd92+AUVklHwVAAJKTIz8+XJUuWyN6K1AZRdWz/VCWqIji27sR1x24uO617ytfl6GT+gTDz4uMTZeZp6Q3xXmJSekrmsKlyww03cDgCIYS0ARgqDlE1OTnW9TfhUSXAIc2cOVYJjk6erCcLs2c/ra4RoqG+7rVr71fbbrnlafUZ6kBUnTbtESWq4h7iWpYsubshvfrq7epeBgJEVZSpRVVycjJt2jQ1UYk9paamyqJFi6y9CCGEBBttg+8qT28QVTFa9JwxPZuIqrCRfS2bSdvVetnMc7K/kbBPRmqyfH1yhiTHuuWqmFTa4CS0obBKQorXXntNjpaEyf7yRLWO2f9vuWCw6tB1R2vveM2O2kybN2+WjRs3ypdffukyVNfLF198IYcPH25yvD3pN266o8dnXFy8fOX0lIaZCrtmXy6V9ZHyl7/8Ra0TQggJHllZ6UqAs3umIj+YzJv3uquP/7b6DBXmzXOLkOaw/2Bfd1sze/ZCKSwsl3790iUn52HlVTpt2tCGhHAOixZ919rbP+D9CsEZHsvk5AReqcuWLZOZM2cq416nBx54QG2fPXu2rFu3Ti0TQggJLrDBcwoj5ESV+3cXZv+/4sy+apJo007Wy0iebPBNmzYpGxz2N/rttWvXyoEDB5TnqHm8mUzbW+W5yklLSZSrT2scrUAbnIQyFFZJyLBv3z45ePCg7CxOsHJEbp4+UJITYhs67madrpX0dnTan376qfpx3qNHD+ndu7fLuOsnAwYMkCFDhqiA3PjD8dJLLynXf7Msp0936uLq2JPk/BGN9coceYH87W9/4xszQggJMllZGUqAM2Opwgty4cKVahmxNUMd1Beet/j0B3hkIgyAFh9NQVnHFL355tC/7jlz/qsEULBo0e1BCdkAofbpp1cq71eUSU4+MAQTBjhEVXimwnNVp3nz5sldd90lhYWFakIVQgghwUXb4DuKGiduvvn8gQ2OTdomNu1knbQNvmvXLhXK5Z133pGePXsqGzwrK0sGDhyobHCUtX37dmWr5+bmNinPvtyYFy79uiXJlMGNvyVog5NQhcIqCRngYZpXFSW5Fe5h93hTNrxvquqwdYerO13zE6m8vFzeffdd9SZsypQpMmPGDBk6dGizhB/p3/zmN+XrX/+6+hH/8ssvN5TlKYHw8AgZPyCpISRAYt9xUlkXqTp2QgghzXHHxPylqx/9tkqYlMkJeIympMxR+0BEs4PjMAwcIM4ohNdQBtczbtyv5Nxz/6g+IZh6AttwzVlZP3UtNx3mjvabNesvSlScOnWIzJ9/rbUlNEF9H3vsQ7V8113nNRHGWwomvtKiKjyYQ/3ek5aRk5OjPmGEOzFr1iz1qfcjhBASPOBheqA0RsprGkMAdEuNb2Zvm8s6FRUVKRs8ISFBLrjgArnxxhsdbfDx48fL+eefL6NGjZK9e/fKZ5991lCetrfxaSYQFRUtZw5Kahg5qm3wJ598Uq0TEipQWCUhQWVlpWzbtk225LrjqgK8KYuIiGjocO1J5yPANYYZXHHFFS4jdpwkJiaq4zyBN2bdunVTHf9XvvIV5b1qLxvY12NiYpu8MUsZdJa88ELzyVUIIYQ0Dt/WaM9LE8RLffDBN9TQcXhkLlw429riFuogUl555V+V5yOEtVCfvAlCILxUEVcUQ+HBokXr1acTS5duV8IhgKeqBt6uEJMXL16vRMrOMGGX9igGZiiDlgJBXceVhagcDKGWhCZ6YipPcVR9Ca+EEEJahrbBd+S7nYdio8Jl+tgeypaGDWza4VjW6/jE6M/du3crG3zEiBHKBvcGykR/f80116iJqj744IOGss0EzOWUpPgmI0dpg5NQhMIqCQnQoddJhBwrdT+SmLAqM9k9WRXQHSvQHS0SZg7E0P9JkyZJXJzb6MQPc3g3mEPJkOwzzaJzx/CE886D0bq04Ry6bI1exnCEAd3jpWui+21ebPehKmYrYsgQQghpBAIjhFFz8iVMPGR6rWIZwiomM9qz56FmoiqERYiumOho3br7Q15Y0+EKED8UcUV1bFRciye0l6p5bWg7eLtiG9pm/vzrrC2BgfZraUIdAgViMICgDM9SeONCGDcT7re39tCgLbX38qOPXhvygjppHfjNlpycrLyY8HvNPsQTIQCwHWEBCCGEBA/Y4BW1EVJQ4ba5Jw3LlPjYyCb2sJNtDMemLVu2yOTJkxtscLwEQz9tt8HnzJnTrF+/6aab5OKLL1a2tFP5Jhg5mp2V0OC1ShuchCIUVklIcOTIEdlf1NiJZvdPayaq6k7XTDt37pTRo0dLWlqa2ged+ZVXXimLFy9WcVbNhJllnbwhzjzzTDnrrLNk69atqkwT+zqGI4zuHaOWI2JTJDq5hxr+QAghpBF4V2qhFKKhjg+qBTs9BH7p0rvVZEb2Id4Q9+DtiiHgOB6CnBbntIAXakBIXbjwZmvNv0mndAzWadOGqE/TSxN52G4Kk4GAWflbmuxhCfxBH5OSEqvq2r//fUoYN9PcuS+42uWnXoVbLaprL+ZgeL+S0AaeqHjBjZj4+L2Wmprq6h9mq99sMMoRugniKj1WCSEkuMAGP1DcKAlBWEUYPo1pC2v7GwmiJuxnjATV9O/f3/W3/kHVj5vpscceUy/Q7OIq5kBBWQgnAHTZGnMZNviQblFqGTZ4TEpP2uAkpKCwSkKC48ePy/7Cxs5z7IBUjx2rprS0VImvffo09WK6+eabZc+ePVJfX9+QMLMsvB0gujrF6Bo7dqzExzcG7PYEvFz7prs7dRCTkSWrV6+21gghhACIpU0nYHKLYxja7hZVn1Z5TjEzIZzqEAIQ1+ziHIbPhyK4XvN6/BNW3depPVYhIGvQVvZrDwSEI2hp0kJvIOh7hk/UFaI4YsPC4xhl4hPgnkI8doqna4qq2N/0YiYnNxBN4dWkefrpp9VvNhjlmNQKAqsTyLePSCKEEOIfsMGPlrjtbIQB6JMZ30zgtJOfn68mqLIP/cfLsaeeeqqJDY6EPhx9udnHa+D49Pnnnzc7n309MjJSBndrFHFpg5NQA09svXuRkMDBEIBAWb58udx2223WmrtzfuONN+SpT4qluLJeTVp195UjVAcKIRMJb870p054wwavBruw6gl05nhj9sADD4jTcDLMOItYL/ijgLgvSAg1gE9MiqUpLi6UR94+KpU19VJ1dLOEHfzYZRw7T8pCCCHEDSaygujmHtp/wJXubyK+aiC8evOYhGDp7yRGmKVei5d2cA6EJ3APXXcWQbOze0tLh+LDaxMCI0RFhAawg+uEVydAKARcky9vXDMOa6iByccA2nPevMsdh+9DOM3O/pVqd7Bkyd1NrgmiKjxmx47t7WoL57iy+jye2pV0PvDCOzs7W/0O07/R4K2K31YLFy5UIQLwclx7sJpgXQ89JYQQ4j92Gxyh+G6/dKhERUU12N52+xsJfTYmodIhAHwBT1XY7ABCq52PPvrIZV8XqzlQtA2u7XC7Df7w60fUMmxwObBCjWgwWbBggZxzzjnWmhuUUVFRoRIcs3AuxIfVnxi1ir81hLQGeqySDgcxWtBpo0MHvTOadtK6AzbffCGhM+/atava5g96cgRP4Ec76qHPB8xlDbxkuyW5J8cKj0mW8vJytUwIIcQzptcqhsw7iWYAAiPENk/JX1EVQFS1D3PXSYt7+HTajuRJlA0EPdzfjvZOhWenvian6zVTZwAitaeYqLjnixbdbq019dDFMtoc7dEZJusiwQOCKURVeDXpF98YNoplGPDIx3aEByCEEBIc7DZ4nwz36E1PtjCWq6qqlLjqr6gKfNngZ599tuzfv1+V7+ncADa4nuuENjgJNSiskg4nNzdXDhU2vo1KT3K7+evO1amTxRusjIyMJnFdfKG9Sr3F6OrRo4f6tJ/PBAG0u2phNbmX+oPEoQiEEOKdlgwvby2YTR5ekU5Jx33Fp9N2JBzfWgoKmv/wh7eqnkU/1CflCja4XoQIABDZNXpSKwiqs2b91fW8OE+spUH76TxP4jXpHOih/J68TrUnETxXOeyfEEKCg90G185N2vZ2ShBW09N9hzoy0TY4RoV6AqEFNPpcdmCDJ8dZwiptcBJiUFglHQ7ePuHNl8Z8W2YmuPEjYRnDAwJ5U4YOHRNaoUP35vEAwdZ+XiQ7MZGNcV/QqXuLQ0MIIQTiSWNsVC0qtjUQ8Zw8P5H08H98Om1Hao3o6e3YOXMwiZP7/G0lOGPIfEtToBNlAQzfB/7M+u8Nbx7ESBpzv9aek3Qs+H0GEA7ACV/eToQQQgLHboPHRbsdh4CTPYwEWxzh+gJBj0TQn07ExMQ0OQ/QnyZ61CigDU5CCQqrpMOxd+pAC6ieEkD8F3+AqIohZcBX/BTUxelc3mCnTgghvsFQ76eecs+a//TTK5XX5skMZsd3AjPiQ3TVQ91bI96GEvo6EEe3JULn7NmePYfNpDE9jU+WNjxV0V5MCAnghPZ2At5GHRFCCPEfJxsctq+2w81PvYz9A7F7MccJXp5NnTrVq3MTbXDS2aGwSjocT506ku7I7cnfThTBsjG0DMPHbr75ZrXsjZZ06oH+gSGEkFMNiKqzZmWr2JuY3Ai0l9dqR2N6WeoQAJh0Sedjgqy2oL7+by1OLZkUCvdXs2iR9wkd9bVrL1fgK7auThrT05jxWDs32tjGy2/7UH/EWNXb77rrLgqrhBASJGC/erPB9ae5DDHTX+cmeKhi4mjMYzJ//nwr1xnY4Po8OvmCwioJJSiskg7HSVgF9o7cTMhDjBdvQFTVs8xCVPVntj/Mjmiek506IYS0DsS/hJemFuswYzyA2Gp6rZ7Mw7nRBkiIHYq4rTomqDlxVWcHwqo/ork5YZWe0Iyc2sD4hmiK32vnnnuu+u2GF+FI/fv3V7M+Y7u3YaSEEEICw5Nzk2kL66Rn6IfNm5aWZu3tGQipDz74oBJV8cLMU6gXzcGDB5ud2xe0wUkoQWGVdDiI05KRHGOtieQWVXrs1HVC547kCdNTFT/G/RFVQUVFRcM5cG4kJwrLrHPXVqlOPTEx0b1OCCGkgaVLt7n64kdcfXDj8C8IcBAUCwvLVaxRzezZ/vXTnQVzePq4cb9SCeIy8nNyclX+yTaEXYvm8EjFfcf910BExz2eO9d9z+GtCg9mQgCM8LVr16oX4WZMVawjH9sZa5UQQoIHPE8TYhu9T7UN7sn+1glznXgDdvfcuXNVmBd/RFWgbXBv9jfYl1vtXqANTkIMCqukw0GH2NUYxpdbXKk+0blqAdUpoQN2AsPGIKrCw+Gpp55SP8b9obi4WHmsmn9MnKitrZHCcve2iOoi1akPHjxYrRNCyKkMvE4hnmVl/VQJa7NnP+36Uf2DJgIihm3r2fYxK3x29i9VMoeSnwzgOrUHJ0B8WX2N2mO1rSau6igglCL2KYC4eu65fxQ9IVb//vep2Lpg6tQh6rkgxATGtw4HoBPW/THKCSGEBAZs8L5dE6y1Rhscdra2he32OEaMehNWYXffcsstMnbsWNdvnXV+9d979uyR+Pj4Jud0oqamWiqqaYOT0ITCKulwMAsgOsaeaW6v1b3HilWnbXauOpkde0lJicoz0W/FIK7Cw8FbkGw7y5cvV2/WUKa3t2XYfrTI/QclvK5cevXqpZYJIeRUB7PJQzzDjO1g3br7XX1yc69MU4CD9yY8OdvbexGi5gMPXN6m4ubChTerc6xde3+T61u6VMdXPfkmXYJ38quv3t5EVNbAU/muu85zXf8PWhwXFaIsEmKsEkIIIaRlaBs8NcE9y79pg5s2t329tLRU7W+C0aKwu+GpipEGEFX9HWWwceNG6du3b4NzkycbvLyyRo4Vu0eN0gYnoQaCUvgOIkmIB7Zs2WIt+Q8EzNtuu81ac/PFF1/IP9/bLp9uz5XoiDD5wcVdJbNrdxX3BUnHgDE/kdChmkMAdJwVvCXz1plDgDXJzc2VDz/8ULp169bwR8OJ+vo62bH/hDy1Il+tJ5ZskWmjusrPf/5ztU4IIYT4IiVljgqFsGfPQydNjFVPmOEAICRzoilSnJOjEjhs/B474TLEq1zGuSYX64WFgkjM7lc1zUFgCfi/N05r5pmo5GRJN7ynoly/EzOsdSzrbYlZWSoRQsjJDmzwx1/fLBv2Fjra4E72N8RYOCNFR0dbpbhjZeuYqt68VCG+mo5P+/fvl1WrVvm0wevqamXN9mPyyhdFat2TDb5gwQI555xzrDU3EGsx0hUJojBGqcJBS39u3bpVjY4gpDVQWCWtIljC6u7du+XNT7bJMx/uVutXjU+SM4b3lChXh2126mbHDhEVHfugQYPUJ/A3gLX5JgzDGV577TXp2bOn6nDRoXt6U1ZVVSmvf35UPs8pV+tdi1bJ166+VG644Qa1TgghhHgDsUYxLB4enTk5D1u5hJw8HLLEUoimlQUFSiBV68uWNRE3TQHTFDY1PadNU58weD0ZvfCKWrRokQoB5Q+6bhol3lpirin4alG3x9Spah11i3bVsYd1Hl03QgjpzMAGf3HJJnnp431q/cYzkmXsoB4SHRPTxO42bXEkDN2HuKptby2s+uKBBx5Q+4Ly8nJ5//33JTU1tUFU9WaDv7TysGw46A5X4MkGp7BKOgoKq6RVBEtYRWzTLdt3yV1/+1StD+4WJV+b0kMSEpOadeZYRieu12NjY6V3795qOEOgoINdsWKFKqO6ulp1vEieKC0tlgUfHlXDECLqKqR36Sr53e9+p2atJYQQQnyxcOEncsstT6sh8fPnX2flEtK50IIpEsRIvQyBVAumSBAkzbxgA0EVRrq/wmqgaC9aJFyfXjevFdeIpJchwBJCSGcgLy9Pvti4Xe5duEatj+4VLV85s7uywe1iql7XdjgEUTgmYTlQjh49KmvWrFEjTyGo+rLBS0qK5A9vHZHKmnqvNjiFVdJRMMYqCQmSkpIkKT5GsgekqfUdR6vkSF5Jg9ip32IhwcPUXEanuG3bNtVRenrL5URlZaV8/PHH6o2bP6IqhiDsPlLaENsluf64dO/enaIqIYQQv9HxVTkjPuksQETNWbRI1sybJ69PmyYLU1Lk5exstQ6REd6bE1zLs13LN+bkyIylS2Way0hFXtasWWp7W4iq7QFCBaD+uA5cz0WudsD16WtFHraXuJbRHv9xXee/Xeld1/5YR7uh/QghJBTB0P3uaQkytFeyWt/ussELS8qa2N6m3a3tcHyeOHFCduzYIWVlZepYf8FxmAvFX1EVE0evyylRoipIrqMNTkIPCqskJMAbsPT0dLn4tL5WjsiK7SVSXu7csSPpzl0Lr+jYEacFgqm3zhkiKoTYTz75RHm5Yn8c7+0YUFFRLit2NP7hSAvLk8suu8xaI4QQQnyzaNE6NfnSyThxFTk5gFfmhvnzlTgIkfCNadNk28KFkuBatguopnh6KmKKrqbgOnrOHOXRinaDCK3FVrQr2pcQQkIBbYOfPaqHWod4uXp3qV82OJbh2ASPz3379imB1Zs9je07d+6U9evXS1xcXEN5vmzwgqJSlw3eOGFWalgubXASclBYJSEDJpsa1T9DhvVxD6FCDJUdh4qkurqqoePVSXfmehkJgimGFWzevFnFizl27Jh6I4bPI0eOyKFDh2TXrl1q2AFmLsSwBcx8iDJ8ebriTdmmfcWyL69arUNUTU+MbjbUgBBCCPEERFVMWjVv3uVWDiEdD+KOmt6o2hMV4iBEwqvXrVOemkNnzz5lBdRAQTuh/dBuug3RfmhXtO+CsDDV3hRaCSEdDWzwadm9JSPJHVbvsz3lciS32GVfVzfY26bdbS7rddjgEFj37Nkjhw8fluPHjzfY3wcOHJDt27fL559/rrZhbhRdhi8bHHVYtbNICsvd4ittcBKqUFglIQPinCYkJMhN5w+zckT+t6lYyspK1Zss3XGbn04J8VPQmaNjh5CKz71796o3aejg4aGKN2b+duggv7BEPthSopbDpVZ6R52Qs88+W71tI4QQQvxBe6tOm+bPHOaEtA2mRyoEPgh98K6c5MqDxyXEQD3EnQQHxF01wwnc5vrtiWUIrSvnzFGCtvZo1RNoEUJIe6Bt8K+f7/5tAq/VN9cXqdGasMG1zQw725sNDhsbDk05rj4MI0nh6AQ7HOuwwWFzYz9/bfD6+jrZc7hACb2ANjgJZSiskpAiMzNTBvZKlUtO76fWEc/0tTV5Ul7udv83O3azY9brZoI3KhI6eR2wWnuoIvkadqApKyuR19bmN7wp6xuTp97oXX45PY4IIYT4x7p1+5WwunDhzVYOIe0HYn1+MmeOGpIOIU97pELgwxB2LCOeKGk/IFybIQTg0QpR9b1Zs1T4ANwverMSQtoD2OBnjugpEwZnqnWM0vx4a76ajR8CqN3mtq/bk32bXsenvzZ4XkGxvLGusCG2qrbBZ8yYodYJCSUorJKQIioqSsV5ue7codKvW6LKQ0gA3bEDdO767Zm9s7Yv21MgnTnAOT/ZVqAm0wIpkRXSL75Urr76ar4pI4QQ4hc5OSdkzpwXZOnSH0hWVoaVS0jbgQmTEN8TXpAQ6SCsYsZ6DEnXsVHpkRpawKP1rPnz1T263HWPMOEXvIkhhi+dPZsTYRFC2gxtg985K1vioiNU3gdbSv+fvTcBrOI6z/5f7fsuISQWSSwCzG7ABi8s3u3YBuPEiZ06QJLSZmnATfvl+/5dMM3SdDVu0zQhbYG0sZMmDjh24tiJzWIbG5t93xG7AO3b1a7/POfOuRoNc6Ur6UqaKz0/+zAzZ+bOzJ07emfe57znPXLgbJnhPzer5d764F1FqFpBYNObB8t9g0bTByduh8IqcR0YnTArPUX+ZvkdHQz7jiM3fJGrGquB10Ubb12wvjuGXINj4Zg4NoiLaJFbMypk2rRpctttt6k6QgghBKxb97Zs3LjTXPJSUVGn6pcs+XfZsuVLHLCK9ClaTEXuToipV81IVAh1GKUfEZHokk7cD34nnaMVvx9EVwir+F0hlmOeEEKCCXzwYRmpsnb5PLNG5NcHq+Xo+VJfgJOmr3xwdP8vLa+ULR+XqOAqAB98Zno5fXDiaiisEleSmZkpqUnx8jcrOoqrmz+6IbW11cro9hXYd3V1pTqWFlWjwttkTna15AzLkE9+8pOqjhBCCAHPP/+aPPfc/8qKFZskLOyPfCUt7Tklru7f/1eSmsoIC9I3QGSD2PZyfr6U7t+vcqViwCSIqYxKDX10flb8nvhdIbjiN0deVkSyMl0AISRYwAcvHJWpIlcBuuG/9GGFfHSyVEWR9iWIjC0tr5Ifv3fDJ6rSByehAoVV4kowYj9yvcCwf3PFnZKfnazqYWRf3V0q1dVVyvgGm6amRikpq5D/eb/UZ9BTY1plwSiP5KbFynLjBRYJvgkhhBCA3Klr175uLnnJy8uQNWselfLyF+T555kLjAQfiGkQ1SCuQWSD2IY8nehKzlypgxuI5RBZ8XtDcEW6ANwHmHLgK0JIb9A++ANzxsg3PjPHF+CEyNU39pdJTU3f+OCIiEWk6n+/X9Le/d/ig69YsYI+OHE1YUbpfh9pQkyOHTtmzgXOjh07ZOXKleZS5zQ1NUmF8eJYVlEjf7nhPSkqrlL1MZFh8uSsZBkzPMEwsvHGQyBC1fcUPCAw8uHRizXqwaGTZKfFtcl9Y5pleFa6PPjgg5Kdna3qCSGEEEL6E4hmV7Ztk5MbN6pliKk5CxcO6e79C43v//zzz6vpUEbfG4fXrZPE/HyV9mGo3xuEkJ6jffDjRdeVD15X7xVThyVFGD54imSlxUtsbJyEhfUuTq+5uUk8njrZdbra11MU9NQHX79+vcyfP99c8oKUBHog69raWqmurpaamhrf9Pjx47LRfK4S0lMYsUpcTVRUlEqknZGWJN/+wt0yOT9D1atuCbsqVfTqpeIylR4A0abdBa1jaHk7c7lMfvzuDfnl3iqfqJqTFCYPTwiT0SOGy6c//WmKqoQQQgjpdyCYIToV+TXR1R/RihiACtGKFM4IwEBXEFORjxUDkyGKGakhcN8wipUQ0l20Dz6pIFu+/fm7JSvVGy2KaNJ/31Ymv9lXKhevetMDQBztDki7Bx8cqfeOnS9VPUWtompemtcHH5WbTR+chAyMWCW9oq8jVjVoaUKrWUNDg6x/bb+8s++C1DW0d0MYnx0tU0fEyuiMKEmIi5aIiAi/LWitrd5k2mVVDXKhrEkOXapXU010pMhdY6KlMCtcxo4dK/PmzZOYmBhzLSGEEEJI3wNxDN27wZTVq5VwRjrCiFX/YDAzRDcfWrdOMmbMUIIr00QQQroDfOby8nJpbGxUPvjrH54113iZOiLG8MNjJC8zWuJjo7r0wTGoVXl1o/K9Pz5X5+v2D+w+eE/sOiNWyUBBYZX0iv4SVjUwiJWVlXLlRpW8+Ms9cqSo1FzTDroojM6Iltgo3N43U9/UJhdKGzsYcs3k3BiZOyZWstMSZOrUqTJu3DhzDSGEEEJI32IVw5BLE4IqxTD/UFgNDIj0J4z7qqaoiCI9IaTbaB98/6liefmdY44++Oj0KBXk5I/KuhYlqFZ6bh6E+ta8WJkxMlqGpyf2ygensEoGCgqrpFf0t7AK0NJVV1enDOHVkmr5j98cVMbdGsHaHVLjI2VCTpzMLoiX9MRoGTVqlEyePFmio6PNLQghhBBC+g4IqohOhQCGLv6ILmQ3/66hsNo9kBZA32e4xwqXL+d9RggJCPjg8L8hTp65XO4TWN3kg1NYJQMFhVXSKwZCWNU0Nzcr44hSWeORQ2dvyOFzJXLkfKlcuF5jbuVMbnqsTB6ZJPlZsZKXGaNGQMzNzZWCggKJj483tyKEEEII6TsgdCE6FVGq84wp86Z2DwqrPQP3nY6MpsBKCOkOSAvg8XiUKFlVWy8Hz1xXAuvHJ69JSWW9uZUzY7MTZEx2vM8HDwsLkxEjRgTNB6ewSgYKCqukVwyksKqBsUTuVW3gIbiiRQ31mOpiXcZ8ZGSkJCcnq8TcWVlZ5t4IIYQQQvoWu6DKrtk9g8Jq70Ck9GHj/kOaANyDSBNAgZUQEgjaB4dYid6kgfjgKBgYCz44BqVKS0sz9xYcKKySgYLCKukVbhBW7WgjD9ra2lSxz8fFxSlhlRBCCCGkv9BdsTHSPyIFKaj2DgqrwcGa25epKAghPQHCalOTd0Bofz54UlKSmvYVFFbJQOE8ZBshIQy69UM4RUGX

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