A.4.5.3 Function Notation and Graphing Technology

The function B is defined by the equation B(x)=10x+25. Use graphing technology to:
1. Find the value of each expression:[br]B(6)[br]B(2.75)[br]B(1.482)
2. Solve each equation:[br]B(x)=93[br]B(x)=42.1[br]B(x)=116.25
Refer back to the activity about data plans. Display the two graphs for all to see.[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAlIAAAIeCAYAAABwReFkAAAgAElEQVR4Aeydh3sUVffHf3/J+4L0EpqgKIiKFVGqiIqIKCgoYgEERKmhd0iAhBZ67713CGmUEFLoIUAoIYX0wvk95+adye7enZ2yszN3ds99nnl29t5zy3zPkP1w5865/weUSAFSgBQgBUgBUoAUIAUMKfB/hmpRJVKAFCAFSAFSgBQgBUgBIJCim4AUIAVIAVKAFCAFSAGDChBIGRSOqpECpAApQAqQAqQAKUAgRfcAKUAKkAKkAClACpACBhUgkDIoHFUjBUgBUoAUIAVIAVKAQIruAVKAFCAFSAFSgBQgBQwqQCBlUDiqRgqQAqQAKUAKkAKkAIEU3QOkAClACpACpAApQAoYVIBAyqBwVI0UIAVIAVKAFCAFSAECKboHSAFSgBQgBUgBUoAUMKgAgZRB4agaKUAKkAKkAClACpACBFJ0D5ACpAApQAqQAqQAKWBQAQIpg8JRNVKAFCAFSAFSgBQgBQik6B4gBUgBUoAUIAVIAVLAoAIEUgaFo2qkAClACpACpAApQAoQSAFAQkICRC9ZAhELFsKB/fvhxYsXqndGRUUF7Nm1GxbOn8/qnTx+QrUOGZACpAApQAqQAqRAcCkQ0iCVci0FPv7gQ6jz31puR/MmTWHLps2Knj529Ch07PC2Wx1so1f3HnA9JUWxHhWQAqQAKUAKkAKkQHApELIgdefOHWgZ1gzq1qoNE8aOg8uXLkF6WhpsWL8e2rRsxSDp4P4DnLfTUlOhUb36UP+VOjA1fDKkXr8O15Kvwd8jR7E6b772OuTm5nL1KIMUIAVIAVKAFCAFgk+BkAUpCXyWL13GefV+5n1oERYGrZo1h8LCQrfy7/p+y4Bp08aNbvn4BR/z4czUpAkTuDLKIAVIAVKAFCAFSIHgUyAkQaq8vJxBUuP6DaCkpMSrVyUocn3Eh1CFM1jt274BlZWVXD1cWxXWqDGb0eIKKYMUIAVIAVKAFCAFgk6BkASpzMxMNnPUq0dPRYfeyLjBbEYMGybbXIyNZXm//vyLnOd58kXPz5nN3bt3PYvoOylACpACpAApQAoEmQIhCVK3b91isPN1796K7szJyWE2XT/9TLaJjopiefPnzpXzPE/GjBrNbHbu2OFZ5Pa9sqoKnjx96vN4/PgxxMcnqh7p6RmQkXGDDtKA7gG6B+geoHuA7gED90CBhrf13X7EXb6EJEgV5OezxeKtW7T0+ogO9YmPi2NA1KFdO1musf/8w/J2bN8u53meYBgFXCc1d/YczyK370XFxTB/QaTPY8rU6TB6zL8wdvwkn8f4CeEwYeJkRxzjJoTDeIeMVYumeC3jJkyiaxLcp9V+cs6/Ey33Hv5bwkOLrVNsqv8+BO6axkycBm3n7of/RMSyo+n84zA8fHZANaS/eeL/NuHfh5Uxq91+o/V8CUmQQoH69+vHgGf7tm2cXgUFBdD5406s/J32b8nlo0b8xfIw1pRSilm5ktlMmzJVyURz/upVq2DXjp2a7Z1gOG9BBMTFJzhhqJrGWF5RwSD3XmamJnsnGN3PymLXVFpW5oThahoj3nPz5kdosnWK0d59B2DDRuUwLU65DtdxLlseA8dPnHLNMu38aVE5fLLxqgxRn21OhpzictPaV2oofPI0SE1LVyp2XH7O8+fs78PzIHo7/XpqGoRPmW7YFyELUgnx8dCwbj12/DtmDBw/dgxOnTwJiyMXQdvWbeCbr75mQPTRe+/L4v41fDjLO3TgoJzneYLwgzNSU8LDPYt0f/+y1xfw04CBuuuJXIFASmTvVI+NQEp8H+EICaS0++leXgm8teaSDFF9d6dCUTn/wpD2FrVbEkhp18ouSwIpP5Q/d/YsdO38KQMfhB88mjRoCFMnT2GxofD7V1/UrKMaM/pvZrNn927FXlcsW85sZs2YoWijpSA7O5u1g7CHM2TBkgikxPckgZT4PsIREkhp89O1J4XQanmCDFG/Hb4B5ZVV2iqbYEUgZYKIAW6CQMoEgW/euAlnTp9m66Kk7WH27tnDQGbOrNlyD3iOcIWwpJQQwtBmWfRSJRNN+bhdDbaDx8YNGzTVcYIRgZT4XiKQEt9HOEICKXU/nbufB42i4mSImnjmLlS9fKle0UQLAikTxQxQUwRSARJ2+B9/Moi5cP6C3ANuDYNgg2/mKaUfvuvPbDBUgj+pe5eurB3sb0D/7/1pSqi6BFJCucPrYAikvMoiXCaBlG+X7L3xDOosuihD1JKkB74rBKiUQCpAwprYLIGUiWJKTZWWlLKgmhiws7S0VMoGKSRCz27d5DzPk/ZvvAn1ar8CRUVFnkWavz98+FCGKAQp9ngvP19zfZENCaRE9k712AikxPcRjpBAStlPq65mywBVOzIWtqY+UTYOcAmBVIAFNqF5AikTRPRsQgpzgI/pPJP0Nh/uueeZcLE6gk+3z7p4Fun6Lq2zwrakw9vbhboaFcSYQEoQR/gYBoGUD3EEKiKQ4p3x8uVLmBWbKUNU/SVxcPyuvXufEkjxfhIth0DKRI+kp6cDRjJHeOnySWfArWQ8E77dh+WffPQxuMJUYkIivN2uPStDG3/S5927ywAlgVSwPN4jkPLnzrCmLoGUNTr72wuBlLuCFVUvYeTxWzJENVuaAEmPXrgb2fCNQMoG0XV2SSClUzBX888++QT6fdOXxZTCcwla+nz5FTx7+tTV1O0cY0Shbf1X6gBGPnetO3nSJDdbvV8eZGXJ45DGg58N6tSF/DznP94jkNJ7R1hvTyBlveZGeiSQqlGtpKIKBuxLlyGqbUwS3HheXGNg4xmBlI3ia+yaQEqjUN7Mvv/uO8DI5W+92Q46ffgRjBwxAjC+lJaUfPUqWwT+7lsdoGOHt2HQwIGQnJyspapPG3zbzxWgXM+3bdnis64TCgmkxPcSgZT4PsIREkhV+ymvpAJ6bkuRIer99Vfg0QtxgskSSIn/74lASnwf6Rphj67dFEEKwc/piUBKfA8SSInvIxwhgRQwYEJwkrZ86bHtGiBYiZQIpETyhvexEEh518WRufcz7ytCFM5M4aPEvLw8R16bNGgCKUkJcT8JpMT1jevIQh2k8NEdPsKTIAof7eEjPtESgZRoHuHHQyDFa+LYnOioKJ8ghTC1ZZOz99YikBL/9iSQEt9HOMJQBqnERwUQtjRehqhRx29DZZW1gTa13iUEUlqVss+OQMo+7U3vGcMmuK6J8naOmy07ORFIie89AinxfYQjDFWQOnYnF+otrgm0OefifcCwB6ImAilRPVMzLgKpGi0cfZaZmekGUfiWngRSGOBTOsfPXAfvuk0gJf5tSiAlvo9whKEIUhhYs1ZkrDwTtSY5W3hnEUgJ7yIgkBLfR5pGKIVUkIDJda+9yIURbiAVs3KlpjZFNCKQEtEr7mMikHLXQ9RvoQZSuMWLtB4Kt37ZfzNHVNe4jYtAyk0OIb8QSAnpFv2DwgCgEkSdP3cOThw7Ln/HYJ/79+2Tv3/X91v9HQhSg0BKEEf4GAaBlA9xBCoKFZDCTYZxs2EJonATYtyM2CmJQEp8TxFIie8j1RHeuXOHQVLTho0g9kL1JsmeIIWNHDl8mAXmxEd9z58/V21XRAMCKRG94j4mAil3PUT9FgogVVZZBb8euiFD1KsrEuHak0JRXeJ1XARSXmURKpNASih3GBvMoohICGvUGOIuXpQb8AZSWIjbz+Amxhs3bJBtnXRCICW+twikxPcRjjDYQaqwrBL67EqVIarDmktwL7/EGc5xGSWBlIsYgp4SSAnqGD3D+rLXF5CQkOBWRQmk0Ojk8RMw8Psf3Oyd8oVASnxPEUiJ7yMcYTCD1LPicvh0c7IMUZ03JQPmOTERSInvNQIp8X3kc4S4p9+lpCTOxhdIoTGuoyosdNYUN46bQIpztXAZBFLCucTrgIIVpDYdOgU4+ySticJZKZydcmoikBLfcwRS4vvI0AjVQMpQowJUIpASwAkqQyCQUhFIkOJgBKnJSzdA2JILMkTh+ihcJ+XkRCAlvvcIpMT3kaEREkgZks3ySuUVFTB2/CS4l5lped+B6pBAKlDKmttusIHU+ax8qBtxToao8afvAr6x5/REICW+BwmkxPeRoRESSBmSzfJKBFKWS26ow7j4BJg3P8JQXVErBRNI7b3xDDA2lPQ4b1HiA6Gjleu5Jwik9Khljy2BlD26B7xXAqmAS2xKBwRSpsgY8EYIpAIuseEOVl3NlgHqvxEXYNKOM4bbErEigZSIXnEfE4GUux5B841AyhmuJJByhp8IpMTzE+6Ph/vkSbNQ9ZfEwajoLXD8xCnxBuvHiAik/BDPoqoEUhYJbXU3BFJWK26sPwIpY7pZXYtAymrFffdXWfUSRp+4LUNUs6UJkPToBSxbHkMg5Vs620tznj9n60KfO3jPV08RCaQ8FQmS7wRSznAkgZQz/EQgJY6fSiqq4Mf96TJEvR6TBBk5xWyABFLi+ElpJARSvDL/x2dRjggKEEiJ4AX1MRBIqWskggWBlAheAMgrrYBe21NkiHpv/RV4+KJUHhyBlCyFsCcEUrxrCKR4TYTIIZASwg2qgyCQUpVICAMCKfvd8OhFGXyw/ooMUT22XoO8kgq3gRFIuckh5BcCKd4tBFK8JkLkEEgJ4QbVQRBIqUokhAGBlL1uuPG8GNrGJMkQ9f3eNMBHfJ6JQMpTEfG+E0jxPiGQ4jURIodASgg3qA6CQEpVIiEMCKTscwMuIsfF5NLbeX8duwUVVd4DbRJI2ecnrT0TSPFKEUjxmgiRQyAlhBtUB0EgpSqREAYEUva44cTdXMCwBhJEzYzN9Blok0DKHj/p6ZVAileLQIrXRIgcAikh3KA6CAIpVYmEMCCQst4NW1OfQO3IWBmiYq4+Uh0EgZSqRLYbEEjxLiCQ4jURIodASgg3qA6CQEpVIiEMCKSsdcOSpAcyQOHWL7gFjJZEIKVFJXttCKR4/QmkeE2EyCGQEsINqoMgkFKVSAgDAilr3ICbDE88c1eGqMZR8XDufp7mzgmkNEtlmyGBFC89gRSviRA5BFJCuEF1EARSqhIJYUAgFXg3lFVWwdDDN2SIenVFIlx7UqirYwIpXXLZYkwgxctOIMVrIkQOgZQQblAdBIGUqkRCGBBIBdYNhWWV8M2uVBmiOqy5BPfyS3R3SiClWzLLKxBI8ZITSPGaCJFDICWEG1QHQSClKpEQBgRSgXNDTnE5fLY5WYaozpuS4VlxuaEOCaQMyWZpJQIpXm4CKV4TIXIIpIRwg+ogCKRUJRLCgEAqMG7IzC+Fd9ZeliHq653XAWenjCYCKaPKWVePQIrXOuRB6uHDh7AqJgaGDhkCPw0YCH8NHw47d+yAgvx8Xi2XnEePHsGU8HD48YcBMGjgQFg4fz68ePHCxcK/UwIp//SzqjaBlFVK+9cPgZR/+nmrff1pEbRekShD1C8HMwDXSfmTCKT8Uc+augRSvM4hDVJbNm2GRvXrQ53/1oLmTcOgQ7t20LBuPfb9tVdbQ0J8PK8YACyOXCTXa1CnLtR/pQ6r07pFSzi4/4DXOnozCaT0KmaPPYGUPbrr7ZVASq9ivu1js/KhSXS8DFHjTt8BfGPP30Qg5a+Cga9PIMVrHLIgdfvWLahbqza0DGsGx44ehcrK6ulonFVCUEK4at/2DaiocN9U8+SJkzJo7dm9mylaVVUF69euZTDWpEFDuHPnDq+0zhwCKZ2C2WROIGWT8Dq7JZDSKZgP8/03c6DuoosyREUmPPAZrdxHU1wRgRQniXAZBFK8S0IWpKZOnsKAaFn0Ul4VAPjhu/6sHCHLNX3aqRPLP3P6tGs2O9+6eQsrG/rLEK5MbwaBlF7F7LEnkLJHd729EkjpVcy7/ZrkbBmgakXGwubrT7wbGswlkDIonIXVCKR4sUMWpEb/NZJBz6mTJ3lVAGD61GmsfNuWLXJ5Tk4Oy/v4/Q/kPNcTnL1q07IVhDVqDDhL5U8ikPJHPevqEkhZp7U/PRFI+aMesBmnORfvyxBVb/FFOHrnuX+NeqlNIOVFFMGyCKR4h4QsSEUsWMCgaFFEJK8KAHzb5xtWnp6WJpefPH6C5Q3/c5ic53nS9+s+zCb1+nXPIl3fCaR0yWWbMYGUbdLr6phASpdcbsaVVS9h1InbMkSFLY2HxEcFbjZmfSGQMkvJwLVDIMVrG7Ig9ezZM7Y+qnH9BoCA5JqiFi9mMDToxx9ds2HBvHksf8miRW75rl8mjBvPbDasW+eazZ3jD/DlK1cVj+XLV7B2cK3WjBmzYOOmrYrHiZOn4eSpM444pk6fCevWb3TEWLVoevzEKRg7fhLs2r03aK5p95597JqOHT8ZNNeE99zUaTOD5nrw3oxauhwWRiwO6DUdPnEGuq8+L0NUi6gLsO5Q4P7WzJ67AFbGrAnoNWn5d22mzYSJk2Hrth1Bc00HDh5mfx8OHDocNNe0ZdsOmDR5Gvc7rTUjZEEKBTp75gw0bdiILTpHaNq1YydIM0oD+n8PJSXukXn/+ftvBje7d+5S1BfXXCH8zJ45S9EGC0pKS2Hzlm2Kx8SJ4TJI/f7HMJg6fZbiERW9HKKXrnDEMWHSFJgzb6EjxqpFU/wxQ5BaGLk4aK4pInIJu6Yl0cuC5prwnsN7T4tPnWIzfeYcBoeBGu+C6BhoH3lMhqhWkSdhVvTqgGoYPmU6zJo9L6B9BEovpXbHTQiH+Qsjg+aaFi2JZn8f8FPpmp2Wj/6ZGD7V52+2r8KQBikUJiMjg81MIfxIx5hRo71qhjGm0MZXiIPVq1Yxm6nhk722oTWTHu1pVcpeO3q0Z6/+WnunR3talaq2yy4sgw/WX5EhqsfWa5BX4v4Gs74WtVnToz1tOtlpRY/2ePVDGqTiLl5kIQ7q1X4Ffh86lAXjxEd9CEv9vukLjx8/dlNs5IgRqiCFwT2xPr4V6E8ikPJHPevqEkhZp7U/PRFIaVfvVm4xvLkqSYao/nvToKTCv5dntPZOIKVVKfvsCKR47UMWpBISEgCDabZt3QZSrqXIyuTn5YMETO1ebwtPHte83vvvmDEMksx4tCd3qHBCIKUgjGDZBFKCOURhOARSCsJ4ZF/OfgHNlyXIEDXi2C2oqPI/0KZHN4pfCaQUpRGmgECKd0XIgtTHH3zIoMgVolzlwe1fcGYJ4UlKUqBO/FRKE8aOY/XWrl6jZKIpn0BKk0y2GxFI2e4CTQMgkFKX6dS9XGiwJE6GqOkXMk0LtKnee7UFgZRWpeyzI5DitQ9JkLqfeZ/BTtfOn/KK/C8nNzeX2bR/403Z5vy58yxv2O9/yHmeJ9989TWzSb561bNI13cCKV1y2WZMIGWb9Lo6JpDyLdf2tKdQOzJWhqgVVx75rhCgUgKpAAlrYrMEUryYIQlSuMAcZ5sQepQSbhmDa6dwzz0pFRUVsbwP33tPynL7LC8vh1ebt4BG9eoDnvuTCKT8Uc+6ugRS1mntT08EUsrqRSU9lAHqlUUXYU/GM2XjAJcQSAVYYBOaJ5DiRQxJkEIgat6kKeDCcoxW7i3hm3kIWz8NGOhWLAXq9BYRffPGTaxO/3793OoY+UIgZUQ16+sQSFmvuZEeCaR41XCT4Uln78oQ1SgqDs7ez+MNLcwhkLJQbINdEUjxwoUkSKEM4RMnMujp0bUbXL1yRV4LUFpaCvv37WMzSwhSF2Nj3VTDNVUN69ZjW8Fs37aNbQWDW8Pg23rNGjdhC9ivJV9zq2PkC4GUEdWsr0MgZb3mRnokkHJXrbyyCn47fEOGqFbLEyD5SaG7kQ3fCKRsEF1nlwRSvGAhC1KlJaUwZPDPDKYQmFqGNYO33mzHZqnwe6P69WHLps28YgCwY/t2OfYUPv5De6kN1735vFbWmEkgpVEom80IpGx2gMbuCaRqhCosq4S+u1NliHprzSW4l+cefLjG2tozAilr9TbSG4EUr1rIgpQkBe6Jh1vCDB0yBDC6+fA//mQAhVvI+EoYJmH+3Lnw68+/wNBfhgDu3VeQn++riq4yAildctlmTCBlm/S6OiaQqpYrp7gcPtucLENU503J8LTIv/WcuhyhYkwgpSKQAMUEUrwTQh6keEnEyCGQEsMPaqMgkFJTSIxyAimAzPxSeHvNZRmivt55HV6UVYrhoP+NgkBKKHd4HQyBFC8LgRSviRA5BFJCuEF1EARSqhIJYRDqIHX9aRG0XpEoQ9QvBzOgrNKaaOV6bgACKT1q2WNLIMXrTiDFayJEDoGUEG5QHQSBlKpEQhiEMkjFZuVDk+h4GaLGnb4D+MaeiMkMkHr+/DncvnXL7bhz+zZk3b8PuDZWS8IdLbCNp09qdrbQUs/TBvsbMWIUHD12XH6hydPGad8JpHiPEUjxmgiRQyAlhBtUB0EgpSqREAahClIHb+VA3UUXZYhalPhA6B90M0AK17lKLwB5fmKMv6++6A0b1q1TvC9v3bzJwuPUf6UOJCUmKdppKcB4gm1avcrGsygiUksV4W0IpHgXEUjxmgiRQyAlhBtUB0EgpSqREAahCFLrrj2G/0ZURyuvFRkLm677N7tihSPNAKkPOnZk4IKxAt9o8xo7cE/VJg0augEWvmDkLfXs1o3ZTZowwVux7rw//hjO2qtbqzakpabqri9aBQIp3iMEUrwmQuQQSAnhBtVBEEipSiSEQSiB1MuXL2Fu3H15Fqre4otw5M5zIfygNgh/QaqgoECGpV07drp1h7tVYMzAr3v3lm3OnjnjZrN3zx5W1rRhI3j29KlbmdEv4ZOngRTI+bu+3xptRph6BFK8KwikeE2EyCGQEsINqoMgkFKVSAiDUAGpyqqXMObkbRmiwpbGQ9zDAiF8oGUQ/oLUubNnZUi6e/eu1y5xH1Xc1QIf++FjQCnhY7h32r/F8qdPnSZl+/2JIHXo0GHAGSns88zp0363aWcDBFK8+gRSvCZC5BBICeEG1UEQSKlKJIRBKIBUSUUV/LQ/XYao11YmQXpOkar+VVVVkJeXxw6ctfGVcPE02mIcvUAkf0EK1yEhrLRu0dLn8D7v3p3Z/fBdf9kOd7TAuhhkGRebeybURtIJNVNKGE8Q7V68eMFMEKRS09IB+8L2+3/r7FkpAine8wRSvCZC5BBICeEG1UEQSKlKJIRBsINUXmkF9NqeIkPUe+uuwIMCbW+o4d6j+AOPx8kTJ336q9tnXZjdL4MG+7QzWugvSA0aOJCN7/vvvvM5hI/ee5/ZjRg2TLaT6vb9uo+c53pSWFgILcLCWD3cHsxbkh4NopZ4jkkCqZ07drC6CGpmPTb0NoZA5xFI8QoTSPGaCJFDICWEG1QHQSClKpEQBsEMUtmFZfDhhisyRHXfeg1ySyp06Y6LsvHHf/WqVYr1Duzfz2zwbTYMJ6A1/fnb72w7LtySS+3o3OkT6PPV11qb5uyk61gwbx5XJmUkJiSy68Drxb+zmEpKSuTHfTErVkim3Cc+8sN63bt05cpwlwxcW4Xlrv1LIIWzVNKWYkrbj3GNCphBIMU7hUCK10SIHAIpIdygOggCKVWJhDAIVpBasG47vLEqSYao/nvToLjc9+M5bw6RFmBPnjTJWzHgY633361+G27sP/94tVHKlNYjIWBoOTBEgZH06NEjuf1TJ73PrCHsvN2uPbPr8+WX7LqwL9ycXhpbelqaYvfZ2dlsY3q0vXL5smyH666k9VW/Dx0q5+OJBFJ43rXzp6wf15kwN2MHfCGQ4p1EIMVrIkQOgZQQblAdBIGUqkRCGAQjSEVsPwwNI8/JEDXi2C2oqDIWaHPM6L/ZD/xPAwZ69dfGDRtYeVijxrqDVCYkJEDcxYuajnFjJ0B09DKvY1DLPHTgoAxDs2fOguioqOpjyRKYNWMGYFgDXPCNxx9Df5PXMGG769euZXWxrKyszGdXUpwqaaE6Qma/b/qy+r2694DSUvdHqq4ghbNzCGE4FqcmAinecwRSvCZC5BBICeEG1UEQSKlKJIRBsIHUibu5UCfyggxRMy5k+hVoc1n0UvYD//EHH3L+wgXmb772OiufN2cuV25mhj9rpGZMq37sJs0sefvEDeYzMjK4IWPMKLTHWSW1hLNaaIszZzk5OTBtylT2vUO7dl7XPrmC1ML585lty7Bmat0IW04gxbuGQIrXRIgcAikh3KA6CAIpVYmEMAgmkNqe9hRqR1YH2vxPxAVYeeWR3xofO3qU/cBj0ErPFL1kCSt77dXWgAuuA5n8Aak+X37FxvnZJ5/A1PDJ8jFh3Hjo1aOnvD4JYcrzrcMB/b9ndbXGecIF6QhTUp8Y/DM9Pd2rNK4gtWfXblYP6yKEOTERSPFeI5DiNREih0BKCDeoDoJASlUiIQyCBaSiLz2UZ6FqR1yAUav2mqIv7iuHP+54uL76j8CBsyeYv2bValP68tWIUZDCcAQIMzhOpQXzOBPVvu0bzMYTmKQ1YlrfRsS3GyW9cAH5yeMnFC/LFaSOHzsm18O9/5yYCKR4rxFI8ZoIkUMgJYQbVAdBIKUqkRAGTgcp3GR48rl7MkQ1ioqDWVuPwIaNm03Rt6KiAvBtPISDhPh4uU3pcVnHt98BtDGSmjVuwmaDEDjUDlyjhG++6U0ISRLYuC4C92xn6+Ytsp3rovLen/di+Urbxni2g/vx4Vixz99+/dWz2O27K0jhInhpnEoBQ90qC/iFQIp3CoEUr4kQOQRSQrhBdRAEUqoSCWHgZJAqr6yC34/clCGq5fIEuPqkEPbuO2AaSKGTEJbwRx7jHWF6/PixvD8dBqs0mtq/8SYLkIlBMtWOpg0bAz5C1JskQMJ1S74Wi7u+2YcL6KUkPaIb9OOPUpbiJ4YxkLRCvZo3DXNbuO5Z0RWkjh45IoPUg6wsT1NHfCeQ4t1EIMVrIkQOgZQQblAdBIGUqkRCGDgVpIrKK6HfnlQZotqvvgR3ckuYpmaDlBR5GxeeY5owdhz70e/R1bo3zIw+2vt3zBhNY72feV8Gmd/CTAcAACAASURBVG1btsj35q8//8LyMeK5r4TbyEjQNfD7H0AK7Lli2XLFaq4gtWH9ern/QK83UxyQnwUEUryABFK8JkLkEEgJ4QbVQRBIqUokhIETQSqnuBy6bEmWIarTxqvwpKhc1tNskMIYUjjDMnP6dLYQWor/hDGWrEpGQUqKz4Tw5yvh+inp0RpuYCylObNms/xWzZpLWV4//x45itlhTC3cIFkCo7febCfHpPKs6ApSksbtXm/raeaY7wRSvKsIpHhNhMghkBLCDaqDIJBSlUgIA6eB1P38Unhn7WUZor7ccR0KytzXKJkNUlIsJQy4iWEOEDjwbTYrkxGQwrhNDerUZePdsX274nCfPXsmB838oufnbna7duxk9fGalbZvWb50GbPBNV83b9xk9TE0BD6uxHr4Rp635ApS/fv1Y7bf9vnGm6kj8gikeDcRSPGaCJFDICWEG1QHQSClKpEQBk4CqdRnRdB6RaIMUYMPZkBpJb9Jrtkgdf7cefYjj4un27R6lS0MV3qlP1BONQJSSYlJbNwIM962rkGAwsd4OGuENrjg/eyZM26XkJaaKrfhbb9BfNtOWlx+6OAht7rSbFbXTz9zy5e+SCD18uVLaNu6DesnfOJEqdhxnwRSvMsIpHhNhMghkBLCDaqDIJBSlUgIA6eAVGxWPjSJjpchauypO4Bv7HlLZoOUtBAbZ1wQOEaOGOGt24DmGQEp3BsPx4vHu291cDswkKgEQFiOoRyOHD7s9RqkoKOejwcRsiRNMGK6Z8JwEQ3r1mP9x1644FksbxGTnJwsj/PM6dOcnVMyCKR4TxFI8ZoIkUMgJYQbVAdBIKUqkRAGTgCpA7dyoO6iizJERSRk+YxWbjZIoaOkTXdxfRSCldXJCEjhdi8SSHn7xLAOGCdqaVS0W4wsz2ubOL46ujkCFcalwoSP+aSZLFyML+V71h3+5zA2Bm+PQqUZKVx7huPDR4G4aN2piUCK9xyBFK+JEDkEUkK4QXUQBFKqEglhIDpIrU3Ohv9GVEcrrxUZC5uuP1HVzWyQwh93fKSHP/YYP8qOZASkHjx4ABjXyfPAIKMYYqCoqEjTpVxPSZGBTNr0GEMdSO2WlFS/LemtMVx4jnbeHi0iSF1LuQ4YBgK1xe1onJwIpHjvEUjxmgiRQyAlhBtUB0EgpSqREAaighSum5kbd1+ehaq3+CIcufNck2Zmg9TK5cvZDz2+uVaQn69pDGYbGQEpM8cwZPDPTAO1MAh6+kSQmvu/xfv4iPDpE3VI1tO+1bYEUrziBFK8JkLkEEgJ4QbVQRBIqUokhIGIIFVZ9RLGnLwtQ1TY0niIf1igWS8zQQr3fUOAwhkTKY6U5oGYaGg3SGVmZrLNiFEHX9u+6LnkCRMny4vMF0VE6qkqpC2BFO8WAileEyFyCKSEcIPqIAikVCUSwkA0kMK38AYfyJAh6rWVSZCeo+0RlCSoWSCFs2L4ph7CQ8cOb/uMDC71HahPu0EKr2v+3OrQD5989LEpa5l6f/El0/aDjh0BwyU4PRFI8R4kkOI1ESKHQEoIN6gOgkBKVSIhDEQCqfzSCui947oMUR3XXYYHBfp/YI2CFP6YS+t98I2zv4YPZz/0+ObZ5UuXbPWXCCCFC8qnhk8G3Hfv3NmzfumB67M++uAj6N/vO8A1W8GQCKR4LxJI8ZoIkUMgJYQbVAdBIKUqkRAGooBUdmEZfLzxqgxRXbdcg+clxt7gMgpSGHcJYyk1b9JUDg2A37dsMmcDZH8cLgJI+TN+b3Wlt/a8lTkxj0CK9xqBFK+JEDkEUkK4QXUQBFKqEglhIAJI3c4tgXarLskQ1X9PGhSXVxrWxyhIYVTut9u1Z2uBcF3UL4MGQ0J8vOFxmFmRQMpMNQPTFoEUr2tIglTy1asw9Jchmg6MD+It4euxGJsEY47gvkk//jAA8PVZsxKBlFlKBrYdAqnA6mtW63aD1NXHhdBiWYIMUcOO3oSKKu+BNrVes1GQ0tq+HXYEUnaorq9PAiler5AEKYxsiwsrtRxhjRq7qYYLM/F/cFgX93fq2a0bdO/SVZ4ij1iwwM3e6BcCKaPKWVuPQMpavY32ZidInbqXCw2WxMkQNe18ps9Am1qvkUBKq1L22tGjPXv119L79dQ0CJ8yXYupV5uQBClcbIlB3Hwd27ZuZbD080+D3ITbsG4dy//sk0/gRsYNuezK5ctsawIErPi4ODnf6AmBlFHlrK1HIGWt3kZ7swukdqQ/hdqR1YE2/xMRC8svmxctnEDK6N1gbT0CKWv1NtIbgZQR1TTUwd25EYoSExLdrNu3fYPle9vME/dPwjp9vvzSrY6RLwRSRlSzvg6BlPWaG+nRDpCKvvRQnoV6ZdFF2J3xzMjQFesQSClKI1QBgZRQ7vA6GAIpr7L4l3kt+RoDIs/otrjdAIKSZ75rbx3atWMbWJaW6n+d2bUdAilXNcQ9J5AS1zeuI7MSpHCT4cnn7skQ1TAqDs5k5rkOx5RzAilTZAx4IwRSAZfY7w4IpPyWkG8A44cgMB3Yv9+tcP++fSx/zOi/3fJdvwz8/gdm4zmT5Wqj5ZxASotK9tsQSNnvAy0jsAqkyiur4PcjN2WIark8Aa4+KdQyRN02BFK6JbOlAoGULbLr6pRASpdc6sa4RQDGVHn3rQ7cTt/S7t24J5VSmjZlKgOpFcuUbbBuaVkZ7D9wUPGYOWMmaweB7q+/RsOceQsVj7XrN8K6DZsccUyaPA0iF0c5YqxaNEXtx46fBMtWxATNNS1fsYpd05p1G4LmmvCew3tPi0+N2qxcvxk+iDohQ1SLRWdgwdptAesT/ybMmDU3YO0b1cGfelOnzYT5CxcF1TWNmxAOUUuXB801xaxey/4+4Kc/vhapblT0cpgYPlXpZ101PyQXm/tSZdw//zKAWRUTw5nhTBSCzZ7du7kyKQMBCm1mzZghZXn9LCsvh3PnLygekZGLZJAajz/Uy2MUD/yf6b79Bx1xTJ46A1bErHbEWLVoumfvfvZHZeOmLUFzTZs2b2XXtHvPvqC5Jrzn8N7T4lMjNpv2HIK3l56VIapd9FnYsPtQwPrDMUYuioK58xcGtA8jWvhTB8EQf9T8aUO0uuMnToa16zYEzTVt27GT/X3YtmNX0FwT/qeRQMorqujPxI07mzRoCC3DmgGG9vdM0lYKhw4c9CySv69etYoB0JTwcDnPyAk92jOimvV16NGe9Zob6TGQj/ayCkrh3bWXZYjC7V8KyiqMDFNXHXq0p0su24zp0Z5t0mvumB7taZZK3XDu7DkMgvARnrc0asRfrNxz7ZSrbczKlcwGH/H5kwik/FHPuroEUtZp7U9PgQKp9GdF0GZlogxRgw5kAG5IbEUikLJCZf/7IJDyX8NAt0AgZZLCxcXF8GrzFuyNu8ePH3ttVXrst33bNq/lmBm1eDEDqTmzZivaaCkgkNKikv02BFL2+0DLCAIBUnEPCqBpdLwMUf+cvAOVfkYr13Itkg2BlKSE2J8EUmL7B0dHIGWSj2JWrGAApLQlDHYjzTbhzJVSGv3XSNYOBvT0JxFI+aOedXUJpKzT2p+ezAapQ7dyoN7iizJEzY/LMiVauZ5rJJDSo5Z9tgRS9mmvtWcCKa1K+bCrqKiAt95sxwAoLTVV0RKjl+NC8iGDf1a06dWjJ7PBjUH9SQRS/qhnXV0CKeu09qcnM0Fqfcpj+G9EdbRy/NyQ4n0G25/xaqlLIKVFJfttCKTs94HaCAik1BTSUL5zxw4GP/2+6evTury8HBrVr882Kq6s5HdtLygogKYNG0HzpmF+/++UQMqnK4QpJJASxhU+B2IGSOE+mwvis+RZKJyROnL7uc9+A1lIIBVIdc1rm0DKPC0D1RKBlAnKdv64EwOp06dOqbaGj/5wVgr33PNM8+bMZWUjhg3zLNL9nUBKt2S2VCCQskV23Z36C1K49gnXQOF+eXjg2qi4hwW6x2FmBQIpM9UMXFsEUoHT1qyWCaT8VPLUyZMMfjp9+JGmlrKzs9midAzaOWHceEi+ehUuX7oECE8IWK2aNYdHj/zfmJRASpM7bDcikLLdBZoG4A9I4Vt4gw9kyBCFb+mlPePDo2gaiIlGBFImihnApgikAiiuSU0TSPkpJG4wjAC0dfMWzS0hOHXv0pXVw7rS0e2zLpCUmKS5HV+GBFK+1BGnjEBKHF/4GolRkMovrYAvtqfIEIXxojBulAiJQEoEL6iPgUBKXSO7LQik/PBAVVUVnD93Ds6dPQtlZWW6Wzp+7BhEL1kC0VFRcPLESd31fVUgkPKljjhlBFLi+MLXSIyAVHZhGXy04aoMUV23XIPnJeW+urG0jEDKUrkNd0YgZVg6yyoSSFkmtbUdEUhZq7fR3gikjCpnbT29IHU7twTeXJUkQ1T/PWlQXM6/YGLtVbj3RiDlroeo3wikRPVMzbgIpGq0CKozAilnuJNAyhl+0gNSVx8XQotlCTJEDTt6EyosDLSpVVECKa1K2WtHIGWv/lp6J5DSopIDbQiknOE0Ailn+EkrSJ3JzIOGUXEyRE09f8/vUCaBUohAKlDKmtsugZS5egaiNQKpQKgqQJsEUgI4QcMQCKQ0iCSAiRaQ2pXxDF5ZVBOtfNnlhwKMXHkIBFLK2ohUQiAlkje8j4VAyrsujs8lkHKGCwmknOEnNZBCaJJiRCFM7Ux/KvyFEUgJ7yI2QAIp8f1EICW+jwyNkEDKkGyWVyKQslxyQx0qgRRGK5967p4MUfhY73RmnqE+rK5EIGW14sb6I5AyppuVtQikrFTbwr4IpCwU24+uCKT8EM/Cqt5AqryyCv48elOGKFxgjgvNnZIIpJzhKQIp8f1EICW+jwyNkEDKkGyWVyKQslxyQx16ghSGMvhuT5oMUe1XX4I7uSWG2rarEoGUXcrr65dASp9edlgTSNmhugV9EkhZILIJXRBImSCiBU24ghQG1ey25ZoMUR9vvAqPC/UH5LVg2D67IJDyKY8whQRSwrhCcSAEUorSOLuAQMoZ/iOQcoafJJDC7V1wmxdpYXnvHdehoKzCGRfhMUoCKQ9BBP1KICWoY1yGRSDlIkYwnRJIOcObBFLO8BOC1D/zlwFuOCxBFG5EjBsSOzURSDnDcwRS4vuJQEp8HxkaIYGUIdksr0QgZbnkhjpcdTwe6i08K0PUv6fuQNXLl4baEqUSgZQonvA9DgIp3/qIUEogJYIXAjAGAqkAiBqAJgmkAiCqyU0euf0c6kTGyhC1ID5L2Gjlei6dQEqPWvbZEkjZp73WngmktCrlMDsCKWc4jEBKbD9tTHkMtSSIWngB1qc8FnvAOkZHIKVDLBtNCaRsFF9j1wRSGoVymhmBlDM8RiAlpp8w0ObC+Cx5FgpnpIbMXyvmYA2OikDKoHAWVyOQslhwA90RSBkQzQlVCKSc4CUAAinx/IRrn8aeuiNDVNPoeIg5Fg/z5keIN1g/RkQg5Yd4FlYlkLJQbINdEUgZFE70agRSonuoenwEUmL5Cd/CG3wwQ4ao1isSIfVZEUjhD8QarX+jIZDyTz+rahNIWaW08X4IpIxrJ3RNAimh3SMPjkBKlsL2k/zSCsC4UFJ4A4wXdT+/lI2LQMp292gawLLlMXD8xClNtk4xIpAS31MEUuL7yNAICaQMyWZ5JQIpyyX32iFGJscI5RJEdd1yDTCCuZQIpCQlxP4kkBLbPzi6nOfPYez4SfA8N1f8wWocIYGURqGcZkYg5QyPEUjZ7yfcIw/3ypMgCvfQKyqvdBsYgZSbHMJ+IZAS1jXywAikZCnkk/+Tz+hEKAUIpIRyh+JgCKQUpbGk4OrjQmixLEGGqD+O3IRyL9HKCaQscYffnRBI+S1hwBsgkOIlJpDiNREih0BKCDeoDoJASlWigBmcycyDhlFxMkRNPXdPMdAmgVTA3GBqwwRSpsoZkMYIpHhZCaR4TYTIIZASwg2qgyCQUpUoIAa7Mp7BK4suyhC17PJDn/0QSPmUR5hCAilhXKE4EAIpXhoCKV4TIXIIpIRwg+ogCKRUJTLdYPnlRzJAIUztSH+q2geBlKpEQhgQSAnhBp+DIJDi5SGQ4jURIodASgg3qA6CQEpVItMMMFr51PP3ZIhqsCQOTt3T9uYQgZRpbghoQwRSAZXXlMYJpHgZAwJSZWVlcPbMGYhesgRGjhgBvbr3gA7t2kHb1m3gjTavwTvt34I+X34FY//5B1bFxMDVK1cU1zbwQw6NHAIpZ/iZQMoaP1VUvYRhR2/KENV8WQJczn6huXMCKc1S2WpIIGWr/Jo6J5DiZTIVpC6cvwB/DP0NmjVuAnX+W0vX0e71tjB18hS4e/cuP8oQzCGQcobTCaQC76fi8krovydNhqg3VyXBrdxiXR0TSOmSyzZjAinbpNfcMYEUL5UpIHU9JQW+7fMNB05NGzaCzz75BIb+MgSmhk+G2TNnwqwZM2DShAkwoP/30LHD21Cv9itu9RrUqQvhEydCfl4+P9oQyiGQcoazCaQC66fckgrovvWaDFEfbrgC2YVlujslkNItmS0VCKRskV1XpwRSvFx+gRQ+wpswdhzUrVVbhqEeXbtBdFQUZGRkaHpcV1pSyh4DYjuvt24tt/Nq8xZw5PBhfsQhkkMg5QxHE0gFzk8PCkrhvXVXZIjqtT0FcBsYI4lAyohq1tchkLJec709EkjxivkFUvgoTnqEN/innyAtNZXvQUdOZWUl7N65C95/t6Pcbnp6uo4W/DctLi6GZ0+fwvPnz1UbKy8vhyePnzB7HLuZiUDKTDUD1xaBVGC0TX9WBK+tTJIh6qf96VBSUWW4MwIpw9JZWpFAylK5DXVGIMXL5hdI/TtmDHz1RW+4lnyNb9mPHISSbVu3QptWr8KVy5f9aElb1UePHsG8OXPZgngJDPHz159/8dpAYWEhRCxYCC3DmsnA1/6NN2HLps1gFlARSHmVXrhMAinzXRL3sADClsbLEPX3ydtQWfXSr44IpPySz7LKBFKWSW24IwIpXjq/QCr1+nWoqjL+v0R+OO45z549Y7M97rnmfjt+7Bg0bxrGgAgXvE8YNx7mz50LM6dPh0URkVxnJSUl0OnDj2T78f+OBQRKfBSJ8PXLoMFcHSMZBFJGVLO+DoGUuZofvv0c6i2uCbQ5Py5L0xIBtVEQSKkpJEY5gZQYfvA1CgIpXh2/QIpvzlk5ONvVsG499pbhvr17Nc0m4YJ5BKZBP/4IODMlJXwU2PvzXqxsz67dUrbhTwIpw9JZWpFAyjy5N6Y8hv9GxLKZKPxcd+2xaY0TSJkmZUAbIpAKqLymNE4gxctoG0g9yMqCc2fPAs5q2ZFwJu3j9z9g4HPq5ElNQ8CAgDh71ahefXj65AlXJz0tjbXX+eNOXJneDAIpvYrZY08g5b/u+O9qYXyW/CgPZ6QO3crxv2GXFgikXMQQ+JRASmDn/G9oBFK8j0wHKXwL74uen8OGdeu8PvbDcgyH4LoWCQN2Wg1UycnJbAz9vunLq6KQcyPjBquDoR6UEsIZvsVYUFCgZKIpn0BKk0y2GxFI+eeCqpcvYeypOzJENY2Oh4sPzA99QiDln5+sqk0gZZXSxvshkOK1Mx2kcM0RQtIHHTvyvQHAmNF/yxCFMztS6ARcn+QvfHjtUCETQzTgOGNWrlSw4LO3bdnC6kwcP4Ev/F/OkME/M5szp08r2mgpcAWpEX8OYzG48LGi04/eX/SGYX/86fjrkPwwY/p06PJZVxj7779Bc03jxo5l1zR92rSAXtP06TPg/UGjoVbvP9jR5Jth8PeEKQHpE++53r16B6Rt6V6w+nPQT4Pg+/7fB9U19e3TF34d8mtQXVP3bj1g9KjRQXNN4RMnsb8P4ZMmBc01jR45CoaPGKnlp9mrjekgNWfWbAYSGIDTM+GMjhSAc8G8eVBRUQEPHjwAjD2FULMseqlnlYB97//tt6xPKZI6RmXH/qMWL4ajR46wsXl2PnnSJFZn/dq1nkXyd3z7D69lceQiOc/bSXFJCeD/vpSOUaNqgBPbo4M0oHuA7gG6B+geoHsgMPfADz/86O2nWlOe6SD1w3f92Y/+oYOHuAH8NXw4K/uu77duZXEXL7L8/v36ueUH8kuLsDA2G4aPFHv16MmBCgYHxdk11zRm1GhmhwvTldLK5cuZDb715ytVVFbCnTt3FY+NGzZyY6J/QIH5B0S6kq50D9A9QPdAaN8DAwYIBFK43glvSIxs7prwDTfcMgbLLsbGuhax8/qv1IFWzZpz+YHKwHHgG3u4gTLGi8KNk1+8eAEYU2ppVDQ0ql+fLSrH7W+kNGLYMDb+QwcOSlnc55pVq5nNlPBwrkxPhuujvcSERD1VhbadtyACcL1KsCRaI6XPk3fzSqD96kvymqi+u1OhqNzcYLbeRkRrpLypIl4erZESzyeeI6I1Up6KAJg+I4ULzRFSPCOSb9pYPcOCi7G9JQxuifvsWZFwaxscIx7j/vnXa5fr1qxl5bimS0p/jxzF8nzNSMWsWMFsZkybJlUz9EkgZUg2yysRSGmXPPlJIbRcniBD1O9HbkJ5ZeDi0LmOjEDKVQ1xzwmkxPWNNDICKUmJmk/TQerP335nIOG62Bpfb/60UyeWj4++vCWcrcJZICsSRh9HiMKF7jgL5S0V5OczsHvt1dZyMW62jPU2b9wk53meYMRztME1YP4kAil/1LOuLoGUNq3P3s+DRlFxMkRNPnfPlECb2noHNgs6b36EVnNH2O3ddwA2bNzsiLFqHSSBlFal7LMjkOK1Nx2ktm6ufrMN10pJUc/Xrl7D4KJJg4aQm5vLjSI7O5uVt2/7BlcWqIxmjZtAWKPGPptHiMLF8VJCgEJImjZlqpTFfUogeWD/fq5MTwaBlB617LMlkFLXfk/GM6izqCZa+dJLD9UrmWxBM1ImCxqg5gikAiSsic0SSPFimg5SCEq41gmB4+MPPmR78eE5Hjhb4y1hJHAsHzRwoLfigOQN6P8961Npc2KcRUPYQviTEq77wnEO/P4HKYv77Nr5U2aDbyP6kwik/FHPuroEUr61XnHlkTwLVTsyFranPfVdIUClBFIBEtbkZgmkTBY0AM0RSPGimg5S2AW+7YYQIgEUfuIMFYY78JZwfzq0wdhOVqVVMTGsT1xY7i0lJSax8r5f95GLEa7wbT+Mbu66PYxk8PDhQ8BF8/jGn7+JQMpfBa2pTyDlXWf8tzL1/D0ZohosiYOT9/jZaO+1zc8lkDJf00C0SCAVCFXNbZNAitczICCF3eBMD66HWjh/Phw7elRxPQSuV0KAwrhLeXl5/AgDlPPk8RMGRDh7hlu7uCYEPinOlOd6qFkzZjDACp840e2a8Dp+HzqUlWFgPn8TgZS/ClpTn0CK17mi6iUMO3pThqjmyxLgcrb3tYh87cDkEEgFRlezWyWQMltR89sjkOI1DRhI8V2Jl7N/3z4GPrjQHd+y275tGyxfugw6ffgRy8dNiPENP9dUVFQEH773nlyOW+HgGjBpMf3773b0Olvl2oaWcwIpLSrZb0Mg5e6D4vJK6L8nTYaodqsuwe3cEncjG74RSNkguoEuCaQMiGZxFQIpXnDTQWrXjp0MLO7cvs33JmDOyRMnoWe36sjq0qNIfHw3/t+xgNDkLeGGxf/8/Td7jCfVwZhUmIcL581IBFJmqBj4NgikajTOK6mAHluvyRD10Yar8LjQ/T8iNdbWnhFIWau30d4IpIwqZ109Ailea9NBCmdxEC48H4nxXYuVk5aaChiyAaOsl5Ro+x80Lig/f+484PYyZgGUpAqBlKSE2J8EUtX+efiiFN5ff0WGqC+2p0B+qfc1kXZ4lEDKDtX190kgpV8zq2sQSPGKmw5SUmRzf1//54caWjkEUs7wN4EUQEZOMbwekyRD1I/706GkwppAm1rvEgIprUrZa0cgZa/+WnonkOJVMh2k/h0zhs1IKYU64IdAOd4UIJDypop4eaEOUvEPCyBsabwMUaNO3IbKqpfCOYpASjiXeB0QgZRXWYTKJJDi3WE6SOGedRgxHEMAaH1Exg+LcgiknHEPhDJIHbnzHOotrgm0OTfuvtubrCJ5kEBKJG8ojyUQILVj+3aYPGkS4BvXagl/s/DFI7TPzMxUM/dZjm+DYzs9uveEaynXfdo6qZBAiveW6SCFXUQtXsxmpfr366e4BQs/FMpxVYBAylUNcc9DFaQ2X38CtSJj2UzUfyNiYd21x+I6CWiLGKGd4zI4s0EK17Hi1mPSS0FKLxBJQxj+Z/XG9L6CLku2ap+4s4e09+ywP/5UM3dMOYEU76qAgBR2s23rVhanCbd9wbhKOFN1P/M+PMjKUjyePXvGjzBEcwiknOH4UAMpDLQZkZAlP8qru+giHLiVI7yzaEZKeBexAZoNUhIYSSCVnp6uKER8XBwDLgyqfPfuXUU7PQX4u4d941ZjnvEK9bQjki2BFO8N00EK99rr/HEnwH3q8BGfdANr+cQZLErVChBIOeNOCCWQqnr5EsaeuiNDVJPoeIjNyneEowikHOEmMBOkUq9fZ79BuKfqu291YL9FGBxaKUlhcEaN+EvJxFD+ux3eYX0Hy+8bgRR/G5gOUnNmzdYFT66AFSw3Gi+z/hwCKf2a2VEjVECqtLIKfj6YIUNU6xWJkPrMe5w1O/yg1ieBlJpCYpSbCVLf9f2W/RZNGDcepLA8uDWYt3T40CFmi7NRWffvezMxnPfnn8Pl38SLsbGG2xGlIoEU7wnTQQq3Xkm5lmLouHfvHj/CEM0hkHKG40MBpArKKuCrnddliHpn7WW4n1/qDAf9b5QEUsruwnVDuEUXHrhfqK908vgJZoc7OgQimQVSZ8+cYfDSqF59ePToEdvrFf/TPiU83OuwcS9YLFf6zzxuWI/64HZmuPbJW8LHgZKOOBsmpfDJ0+DjDz5k7Q/7/Q8p27GfBFK860wHKb4LAgMA7QAAIABJREFUyjGiAIGUEdWsrxPsIPWkqBw+2XhVhqguW5Ihp7jceqH97JFASllABAMEDgSJvXv2KBrm5uayda9op7TZu7fK+Xn5bB9V3EtV7VgYsRj27t3vrRnNebiO77NPPmHXM3H8BFZvzOi/2feffxrEtVOQnw8N6tRl5bg0xVvCa8etxPDajxw+zJm8ePECPnrvfVb+de/eUF5e828EQWrypHBW1qxxE27bMa4xwTMIpHgHEUjxmgiRQyAlhBtUBxHMIJXxtADar74kQ9S3u1OhqLxSVRMRDQikfHtFgoBFEZGKhlMnT2Ew0P6NN6G0VPuMZOP6DVg9hBAtB0KdP2nnjh2snyYNGgI+IcGE14V9d/mkM9f0nt275XFJ9pwRANs2DNv4ts83bsUIboN+/JG10fHtdwChyzUhSB06dFju49zZs67FjjsnkOJdRiDFayJEDoGUEG5QHUSwgtQvk+ZCq+UJMkT9fuQmlFd6f6ShKpIABgRSvp0waOBA9kM/+q+RXg3x8ZgURgDfyNaTEF5wo3ctB76khDBiNCHgdWjXjl3LzOnT5WYwlhRCUKtmzeU86WTalKmsDAHRV8JHd9ILVLdu3pRNIxYsYPVbhjWD27duyfnSCYLU9dQ0eUYreskSqciRnwRSvNssASmcOq6srFQ9lJ4988MO/hwCKWf4OBhBauelm/DKgrMyRE06exfwjT0nJwIp396TYKLPl196NUTAQhD55KOPFdcIea2oM9PfNVL4yFECJnxkJyVc5I35eOBjONf04w8DWL7nTJOrjXQ++KefmO2EseNY1vFjxxhc4aNB3HfVW0KQSk1Llx83jhwxwpuZY/IIpHhXBQSk8PlwzMqVgPvuSc+epZvY16fSQj9+2MGfQyDlDB8HG0jtyXgGr/wv0OZ/ImJhSdIDZzhCZZQEUr4F2rRxIwMEb7MyOPuCcZDwb/fJEyd9N+RnqT8gheuvcFYIx4lBoV0TxjCUfntwg3rXhDNgWDb+37Gu2V7PExISmG3zJk0hOTlZXjOG+iklCaSGDhnC6uLvopMTgRTvPdNBCp8XS9Qu3bhaPvHGVHqjgh928OcQSDnDx8EEUiuuPJJnof678DxsuvbIGU7QMEoCKd8ixV28yH7k8dFVWVmZmzEu0Ma/4X2+/MotPxBf/AGpqeGT2TjffO11bnuyiooK+bHc0SNH3IaOa6nw+jzhy83I5YsUb0qqp/a7JYGUNOvnDVZdmhf+lECKd5HpIBV74QK7KfHGxClTfDaN06rSQsUlixYBBkXD/F8GDYaGdeuxtx3wfxOUahQgkKrRQuSzYAAp/M/PjAuZMkTVX3wRfpi8CEo9flBF9oPa2AikfCv09MkT+e+26zqfy5cuyfnJV6/6bkShdNuWLYAzNlqOX4cMhfDwyQotKWdj7CfpzUMMwInrpDwP6T/0MStWuDWEsaOwzDPfzcjly769e2VN8DdObUmKBFJSjEVcB+bkRCDFe890kEI6x5vSM14G/mPC/NOnTrmNAv+h4iuh+Lqq5/+E3AxD7AuBlDMc7nSQqqh6CSOO3ZIhqvmyBDicfBvGjp9EICX4Lbh33wHYsHGzaaNs3jSM/Y12fXyHs1D4dxsfSxlNVry19+dvv7Nx4ljVjvCJE90uRQKplcuXu+Urffl96FC5j4Xz5yuZyfkSSM2eOYvVe701gZQsjiAn+DJA+JSalxP0Dst0kOr3TV92s3guvMP4JHiDH9x/gBvjsuilrGzFMm03MtdAEGYQSDnDqU4GqZKKKvh+b5oMUW+sSoJbucVwPyuLQMoBt5/ZINXtsy7s7/CG9evZ1eN/evFvNj418CdY8oJ589h+q7jnqtrRt09f+PN3fRv8YgBoCZ7w8RwuAPd24EJ6tMNQBa4JZ7Aw31foB8leekNPqoOzS2qhICSQkiYZ3nqzndScIz9pRop3m+kgJd2sN2/UvB6K3Upg4C3g2ePHj9mNjLNSlKoVkPTCf+CJCYlBI8u8BRGAj1mCJTkVpHJLKqDH1msyRH2w/gpkF1avjSGQcsbdaTZI/TH0N/Z3OHJhBBOgV4+e7DtusWJVMrJGCt+2w7+T3bt09TlMaY2S5++MFENLKfSD1Kj0SA9n2PAxpxRmYeOGDZKJ108JpKQQE1/2+sKrnVMyCaR4T5kOUgP6f89u6oT4eLfeLiUlsXzX2B6uBi3CwgAXnFOqVoBAyhl3ghNB6kFBKby37ooMUZ9vT4G80gpZcAIpWQqhT8wGKZw5QiDBmRPXt9NycnIs00EvSEmzZjhutUCXa1atZteHb/a5JmkxPYKjUrp65QpIjygx4Cem5UuXsfYwPhauM1RKEkh90LEjs8co605OBFK890wHKQQlvKml/9VIXZaWlLIpYm9xSnCxHobfxylkStUKEEg5405wGkil5xTBayuTZIj6cX864CM+10Qg5aqGuOdmg9SeXdURvv8eOUqO1B2xYKGlAugBKfzd+LRTJ/Z7881XX6uO0/VvqmuMKWnt0qvNW3htA/cfbNu6Detn0oTqLWfQsKCggK3vxd87fIFKKSFIJV9LAb1rsZTaszufQIr3gOkgJW0W+UXPz7neMH4GxiNx3dARjfB/EngzvtHmNa5OqGa4/qOnR3vi3gVOAqn4hwUQtjRehqi/T96Gyir+f9IEUuLeb64jMxukMC4S/h3+6ove7O80/j0uLi527TLg53pACiOs43jxwJeW1FJ6erpsfz0lRTZHCJLaQRvXhBs6S/v24SQAhlFwTQhWkmau+a7nCFKbN1e/bIW2Tv97TiDl6t3qc9NBCoNxIr0jMGEQNNckTYXiWwurV62C+Lg4wF3E8R8s3mBOn/J0vVZ/zwmk/FXQmvpOAakjd55DvcUXZYiaF5el+DiCQMqae8ffXswGqcLCQhko8O+xtOjc33Hqqa8VpPAJB8ZjwnHi2iMtyfX6Dh86JFcpKSkBKSaU64Jz1z30sK9nz57JdaSTzMxMOVgpPv7zlhCkhv85jI0VF6erhUvw1oZIeQRSvDdMBynsAgHpwQM+IjJuE9O186du/1jxHwIeeCOnp6XxIwzRHAIpZzjeCSC1JfUJ1PpftPL/RsTCumuPfYpLIOVTHmEKzQYpvDDpP7W47gf/XludtIIUvpWHM2d4eM4i+RrzD9/1Z3UOHawBKbSXFtrjFjhSOnTgILP9undvtrhcyvf8xECgOA7cnsZbmhQ+FRCg8HfO9dGgN1sn5BFI8V4KCEjx3dTkIGBhHA5p80e8uXCRH0bWpVSjAIFUjRYin4kMUvg/6sWJD+RZqLqLLsKBW+oLhwmkRL7jasZmNkjh7IoU1NITNGp6DeyZVpAyexRJidUvQ+HvEQaVNjMNGPAjgyh8SuP5NruZ/VjVFoEUr7TlICUN4cnjJ4B7HuGu4pR4BQikeE1EzBEVpHCT4fGn78oQ1TgqHi5k1Wzi6ktLAilf6ohTZjZI/frzL+wH38694OwCKfTqkME/s+s3MzwB/mfm1RYtWbtj//lHnJvHj5EQSPHi2QZS/FAox1UBAilXNcQ9FxGkyiqrYMihGzJEvboiEa49KdQsIoGUZqlsNTQTpDCAMs7G4GHnYmg7Qcp1Rk4tlIJWx0uBqHH3DivDSGgdnxE7AileNQIpXhMhcgikhHCD6iBEA6kXZZXw9c7rMkS9veYyZOaXql6HqwGBlKsa4p6bBVIPsrLkhdvD/9AXVdxsdewEKbwWfAkKYfL9dztyGx/rvVbcP7bd621Ze0uWROmtLqw9gRTvGgIpXhMhcgikhHCD6iBEAqmnReXQeVOyDFGfbk6GZ8XlqtfgaUAg5amImN+NghRu8BuzciXs3rkLcK84fIsa4QEjfOPr/nYmu0EKrx2DkV44f8HvGSTcsQPb+e23PyE1zT2sgp0a+9s3gRSvoGGQkqaBzf7khxiaOQRSzvC7KCB1L68E3lpzSYaob3alQmGZsbeuCKScce8ZBSnXhdXS3+8un3QGBCy7kwggZbYGUmRzs9u1qz0CKV75kAYpjCuCEW6VDowv4ivdunmTbY6J0OMt3IOvumplBFJqColRLgJI4fqnVssTZIj67fANKK90j1auRy0CKT1q2WdrFKTwkdOSRYsA99DDnSgwiLJnoEm7ropAyi7ltfdLIMVrFdIg1bHD22xKW/pfmecnbpXgLeErrLiDuKt9gzp1Ydw//3oN2uatDbU8Aik1hcQotxukzt7Pg0ZRcTJETTp7F/CNPX8SgZQ/6llX1yhIWTdC/T0RSOnXzOoaBFK84oZBim/KeTm4UTK+TdG/Xz+vB64j8Ez43LtNq1cZROH+Tls3b4HNGzdBt8+6sDycIi8t1be417MP/E4g5U0V8fLsBKk9Gc/glUU10cqXJPFBcI0oRiBlRDXr6xBIWa+5kR7p0Z4R1aytcz01DcKnTDfcaciCFE5l44yStz0BfakphfqfPnWamxmG/cc3XrDN6CVL3MqMfCGQMqKa9XXsAqmVVx7Js1C1I2NhW9pT0y6eQMo0KQPaEIFUQOU1rXECKdOkDFhDBFIGpcWAoAg9+IhOa8J9BDHyb8uwZl4388TZKnzE16FdO61NKtoRSClKI1SB1SCFAf5mxmbKEFV/SRycuJtrqiYEUqbKGbDGCKQCJq2pDRNImSpnQBojkDIoK0ZVR5DSs1EybkqJdX78YYBir10//YzZIKj5kwik/FHPurpWglRF1UsYefyWDFHNlibApewXpl8sgZTpkgakQQKpgMhqeqMEUqZLanqDtoEUAkUgDtMVUmjw/LlzbPyzZ85SsOCz16xazerMmOb+WM/VUnq85+9eVa4gdfbsWXhRWBgUx5x5C+DM2XNBcS3ok9y8PBg7fhKkpacH9Jqe5hXAd7tTZIh6fWUiXH2QE5A+M27cYNeEi0qD5b7De27O3AVBcz3olx07d8OateuD6pqiopfDwUNHguqacNPiS5evBM01Sf/RynrwIGiuKenSZZg0Wfl33fU33tu54TVSgYAobNOqJIXux/2PNm3cyNY14dqmnTt2QG6u90clE8aOYyC1ZdNmxWFGLoxgNhjozlfC0Av4D0zp+OnHwawd1GTwz0PYDxv+YNMRehqMnDAVWs89IENUs3lHYdjEGXQv0L8HugfoHqB7wKR7YGL4VF8/2T7LQhakNqxbJ4OKJxTWf6UO/PzTIA6oRv81ktXZv2+foqgxK1YwG8/F6J4VcK1LaVmZ4nH40GF5fAcPHAT8X4DS8Sg7G7IfP3bEMWvOfDh6/IQjxqpF06wHD9kfsktXrgTkmq7efQDvrE6UIarLxktw4/7DgPQlXe+Vq8nsmjKzsgLaj9SfFZ94z+G9Z0VfVvWxect2WLlqTVBd06LF0bB77/6guib8gb4QGxc015T+vxnrjBs3g+aazl+4aM+MlCcYOO07vrWHM0s4M4VrnzIyMuBSUhKbmXr3rQ4MYjp9+BGUlZXJlzZi2DCWf+jAQTnP80R6/DclPNyzSNd310d7dm4iqmvQGoznLYiAuPgEDZbOMAnkGqmMnGJoG5MkQ9QP+9KhpMJ4oE2tikpT9wj6wZLwnps3PyJYLoddB62RcoY7aY2U+H6ybY2U+NIYH2F+Xj50/rgTg6Yd27fLDY0ZNZrlIXwppZXLlzMbjBjsTyKQ8kc96+oGCqQSHxVA2NJ4GaJGHb8NuNjcikQgZYXK/vdBIOW/hla0QCBlhcr+9UEg5Z9+irW3b9vGgAiDdUpp6uQpLG/dmrVSFvc5Z9ZsZrMoIpIr05NBIKVHLftsAwFSx+7kQr3FNYE2Z8feB3wUbFUikLJKaf/6IZDyTz+rahNIWaW08X4cAVLZ2dmAMzurYmIA1xBhJPD0tDTjV21BzWvJ1xgQ9ezWTe5tz+7dLA/3qFJKvwyqXiR+8sRJJRNN+QRSmmSy3chskNqS+gRqRcbKM1FrkrMtv0YCKcslN9QhgZQh2SyvRCBlueS6OxQapDZu2AC9uvdg8OG5oBu/v/fOuzBrxgzAN9hESxfOX2Dj7vdNX3louDs6jhu3hlFKH773HrN5/vy5kommfAIpTTLZbmQWSOGM06LEBzJA1V10EfbfzLHl+gikbJFdd6cEUrols6UCgZQtsuvqVEiQwgXa0syMK0A1bdgIwho1hnq1X3GDK4SPhw8f6rrwQBtL66Fw8bhrav/Gmyx6Oc6yeabrKSnsujq+/Y5nke7vBFK6JbOlghkghZsMTzhzV4aoxlHxcCEr35brwU4JpGyTXlfHBFK65LLNmEDKNuk1dywkSI0a8RcDirq1asPIESPg6JEj8OJFTQRmBK3YCxcAF2QjWCFsffTe+4D71VmVcLPhvLw8rjucGcCZNIS95k2aQkFBgZsNro/C8Q7o/z0U5Nf82D198kSeffO1hsqtMR9fCKR8iCNQkb8gVVZZBb8euiFD1KsrEiHlqb0ztARSAt1gPoZCIOVDHIGKCKQEcobCUIQDKZypwThMeBw7elRh2DXZt2/dgrat2zA4OX7sWE1BgM9w1ghhqdtnXQDDGoz/dyz8+dvv8lhahIUx2PMcBsJe/2+/ZeN9vXVr+HvkKAaLaI+A9W2fb0wBQgIpT+XF/O4PSL0oq4Q+u1JliOqw5hLcyy+x/UIJpGx3gaYBEEhpksl2IwIp212gOgDhQGrenLkMKH79+RfVwUsGUhDLgd//IGUF/BNDGHz/3XfQpmUrNl7pESQ+Zpw9cybgeiilVFlZyaKht3u9rVz3rTfbsTyMT2VGIpAyQ8XAt2EUpJ4WlUPnTckyROH5s+LywA9YQw8EUhpEEsCEQEoAJ2gYAoGUBpFsNhEOpHBGBqHk1Entb63hYnOs06pZc1vkxEd0OTk5UFRUpLt/fPTn+thSdwMKFQikFIQRLNsISOGsE84+/Sei+u08nJUqLKsU5soIpIRxhc+BEEj5lEeYQgIpYVyhOBDhQEp6Sy/lWorioL0VNGnQEBrWreetKCTzCKSc4Xa9IIXrn3AdlARRuD4K10mJlAikRPKG8lgIpJS1EamEQEokb3gfi3Ag1ffrPmx2CReTa02lJaWsDq4zolStAIGUM+4EPSB1Pisf8I08CaLwTT18Y0+0RCAlmke8j4dAyrsuouUSSInmEX48woEUbtaLj+kwfIDWtGH9elbHNYq41rrBakcg5QzPagWpvTeeQZ1FNdHKFyc+sDRauR41CaT0qGWfLYGUfdrr6ZlASo9a9tgKB1J3795lUNS4fgO2GbCaLBg/6u127VmdDevWqZmHTDmBlDNcrQWkVl3NlmehMGo5Ri8XORFIieydmrERSNVoIfIZgZTI3qkem3AghcPCGEs4K9Wofn32BtylpCTAN91cE24RszQqGlq3aMlsP/noYygvF+OtJddx2nVOIGWX8vr69QVSGJNsVmymDFH1l8TB8bu5+jqwwZpAygbRDXRJIGVANBuqEEjZILrOLoUEqfy8fOjRtRsDJAQqPDDwJkYF79CuHUgxl6Syjz/4ULjI5jr9YLo5gZTpkgakQSWQqqh6CSOP35IhqtnSBEh6VBOUNiCDMalRAimThAxwMwRSARbYpOYJpEwSMoDNCAlSeL2lpaVsNgrBSQImz89mjZvAlPBwtwjhAdTKUU0TSDnDXd5AqqSiCn7Yly5DVNuYJLj5vNgZF0RbxDjGTwRSznAVgZT4fhIWpFylS05OhmXRS2Hu7DkMrlYsWw5xFy9CcbFzflxcr8eKcwIpK1T2vw9PkMorqYCe21JkiHp//RV49KLM/44sbIFmpCwU24+uCKT8EM/CqgRSFoptsCtHgJTBawvpagRSznC/K0ghMCE4SeENEKjySs2JdG+lGgRSVqptvC8CKePaWVmTQMpKtY31RSBlTDfhaxFICe8iNkAJpE6n3AJ8hCdB1IB96YCP+JyYCKSc4TUCKWf4iUBKfD8RSInvI0MjJJAyJJvllRCkBofPh6ZRNTGiRh2/DZVV4gXa1CoOgZRWpey1I5CyV3+tvRNIaVXKPjvbQGrP7t2weeMmU48zp0/bp6RgPRNICeYQheEcufUMai88J89EYbgDDHvg5EQg5QzvEUg5w08EUuL7yTaQevO11xXfxvN8O0/rd4psXnPDEUjVaCHq2dbUJ1A7snrjYXykt/pqtqhD1TUuAildctlmTCBlm/S6OiaQ0iWXLca2gVSnDz+CV5u34I7XXm0N773zLrzeurUbaNV/pQ40bxrG7DHsgStctWrWHH7+aRBs2rjRFhFF7JRASkSvVI8JZ5xwixdpPVSthechJjZd3AHrHBmBlE7BbDInkLJJeJ3dEkjpFMwGc9tAyte1YmiDlmHNWNTyxZGLICkxCcrK3F8Bf/L4CezeuQu6d+kKDerUZY8IfbUZamUEUmJ6HDcZHn/6rgxRjaPiYODkCLiXmSnmgA2MikDKgGg2VCGQskF0A10SSBkQzeIqwoEUbgWDe+e1adkKHmRlqcqBgPV1797QqF59yM4OjkcjqhetwYBASoNIFpuUVVbBr4duyBD16opEuJKdD2PHTyKQstgXeruLi0+AefMj9FYT2p5ASmj3yIMjkJKlEPZEOJDauWMHe2w3c/p0zaIdP3aM1Zk4foLmOsFuSCAllodflFVCn12pMkR1WHMJ7uWXgBT+gGakxPKX52gIpDwVEfP7suUxcPzEKTEHZ3BUBFIGhbOwmnAgJW1YfOXyZc0y4CxWvdqvsHVVmisFuSGBlDgOflpUDp03JcsQhefPiqs32CaQEsdPvkZCIOVLHXHKCKTE8YXSSHKeP2ez8M9zxd+AXekaPPOFA6lePXqy2aWbN256jtXn9yYNGrLHez6NQqiQQEoMZ+OsE84+SQvLcVaqsKxSHhyBlCyF0CcEUkK7Rx4cgZQshbAnBFK8a/6Pz/Ivp8+XXzGQwsd1WtOzp09ZHXyrj1K1AgRS9t8JKU8LAddBSRCF66NwnZRrIpByVUPccwIpcX3jOjICKVc1xDwnkOL9YjpIzZg2jUHRFz0/53tTyJHqfPPV1woWoZdNIGWvzy9k5UPjqHgZovBNPXxjzzMRSHkqIuZ3Aikx/eI5KgIpT0XE+04gxfvEdJB69OgRC2eAcaL+/O13yPXxHLWqqgpWLl8OGGMK7Y8eOcKPMERzCKTsc/y+mzlQZ1HNli8YM0opWjmBlH1+0tMzgZQeteyzJZCyT3utPRNI8UqZDlLYxbQpUxkYIRw1rt8A+nz5JcydPQfWrl4DG9atg2XRS2HoL0Pcgnbi2iqlHyt+2MGfQyBlj48xOrn0KK9WZCxsSX3icyAEUj7lEaaQQEoYV/gcCIGUT3mEKCSQ4t0QEJDCbqIWL4aGdevJQOUaydzzfOiQIVBUVMSPLoRzCKSsdT5C/OzY+zJE1Vt8EY7eea46CAIpVYmEMCCQEsINqoMgkFKVyHYDAineBQEDKezqwYMHsG7NWvjxhwFsaxgEKwxzgFvEfN69OyycPx+Sr17lR0U5QCBl3U1QWfUSRp24LUNU2NJ4SHxUoGkABFKaZLLdiEDKdhdoGgCBlCaZbDUikOLlDyhI8d1RjlYFCKS0KuWfXUlFFQzYly5D1OsxSXDjebHmRgmkNEtlqyGBlK3ya+6cQEqzVLYZEkjx0hNI8ZoIkUMgFXg35JVWQM9tKTJEvbf+Cjx8UaqrYwIpXXLZZkwgZZv0ujomkNIlly3GBFK87H6BFD6Ww6jkgUq4997TJ74X+waqb7vbJZAKrAcevSiD99dfkSGqx7ZrkFdSobtTAindktlSgUDKFtl1d0ogpVsyyysQSPGS+wVS/44Zw9Y6JSUm8S37kVNeXg7r166FVs2ag56tZvzoUriqBFKBcwk+umsbkyRDFD7aw0d8RhKBlBHVrK9DIGW95kZ6JJAyopq1dQikeL39AikpkCa+hde/Xz+4euUK34OOHASoLZs2w9vt2rO3/erWqg03Mm7oaMF/U4xttXfPHti1YycU5OcrNlhRUcFs5s+dyxbN64nkrtioSwGBlIsYJp4mPXoBzZYmyBA16vhtwMXmRhOBlFHlrK1HIGWt3kZ7I5Ayqpx19QikeK39AimECYwZJQXURKDq/HEniFiwEJKTkzU99nvx4gUcO3oUxowazd7sk0IjvPZqazh5/AQ/4gDnYNgGaQzpaWlee8PAoe+0f0u2k+x7dusGKddSvNbRm0kgpVcxdfsTd3Oh/pI4GaIw3IG/scsIpNR1F8GCQEoEL6iPgUBKXSO7LQikeA/4BVJSc7hBMYY4kIBC+sRwBx++9x78NGAgTBg7DqaGT4bJkybBP3//DX2/7gPtXm/L1WlUvz7MnD4dELCsTghBOGbc8w+vwRtIpV6/zjZXblCnLkyfOo3ZXE9JYSCIdd5o8xo8f64ef0jt2gik1BTSV7497SnUjoyVIWrV1Wx9DShYE0gpCCNYNoGUYA5RGA6BlIIwAmUTSPHOMAWkpGZxrZTnzJIEVWqf+DhvzqzZ8CArS2rO0s/SklL46L33oX3bN2DEsGGKINXvm76sbPPGTdz4IhYsYGUTx0/gyvRmEEjpVUzZPirpoQxQuPXL3hvPlI11lhBI6RTMJnMCKZuE19ktgZROwWwwJ5DiRTcVpKTm8U2++Lg4WBUTA2P/+Qf6fPkVvP9uR7b2CR+JIbDgmiqcndqwfj2kpaZKVW37nDBuPIOgI4cPsz0Cvc1IFRYWAq7bQtjy9rYizqKFNWoMbVq28vs6CKT8lpBtMjzp7F0ZohpFxcGZzDz/G3ZpgUDKRQyBTwmkBHaOy9AIpFzEEPSUQIp3TEBAiu9G7JzTp04xiBo5YgQbKO4D6A2kYi9cYPlYrpS+6Pk5s7l7966SiaZ8AilNMikalVdWwW+Hb8gQ1Wp5AiQ/KVS0N1pAIGVUOWvrEUhZq7fR3gikjCpnXT0CKV7rkAcpXM/UtnUbePetDoAzTpiGDP7ZK0hFR0WxfHxTTynho02EsJ07dij2PS2QAAAgAElEQVSZsPzKqip4/PiJ4rFj+w7WDra1Zs1auHgxXvFIS0uH9PQMRxwzZs2FPXv3B3Ssl1PSoceGRBmi2i6PgxOXUgPSZ8r1VBg7fhKcOXc+IO3b4ddz5y+wa7qWcj1orgnvObz37NAzUH2uXbcBopetCKprWhixGLZs3R5U1zRx0hQ4evxE0FxTQmIS+/uQmHQpaK7p6LETMGnyNJ+/2b4KQx6kfv5pENv/zzUW1i+DBnsFKXxMiWCzY/t2RU2jlyxhNrjey1cqKi6GBQsXKR5//FG9Tgv7G/zzEHbj4g+2t2PCxMmA/1idcOD4xwdwvKPDZ0KreYdliMJzzAuUNhMmTWE+mTDJOT5Q06LmmpxxT6ldD5bjPYf3nhZbp9iMmxAOeDhlvFrGyf4+BOM1BfBvnhZdzbQJ1r8PE8On+vrJ9lkW0iC1dfMWBj1zZ89xE0kJpEaN+IvZH9i/383e9UvMypXMBsNC+JPo0Z5+9TLzS+HtNZdliPp653V4URa4yPs4Qnq0p99PdtSgR3t2qK6/T3q0p18zq2vQoz1e8ZAFqczMTGjWuAn06NoNMB6Wa1ICqb+GD2eQdOjAQVdzt/PVq1Yxmynh4W75er8QSOlT7PrTImi9ouZx3i8HM6Cs0li0cj09E0jpUcs+WwIp+7TX0zOBlB617LElkOJ1D0mQwjfuevXoCU0bNoI7d+5wqiiBFMa/wkdte3bv5upIGSuWLWc2s2bMkLIMfRJIaZftfFY+NI6Kl2eixp2+w97Y096CcUsCKePaWVmTQMpKtY33RSBlXDurahJI8UqHJEhh5HUEIgy94C0pgRQ+AsR6CEtKaerkKcxmWfRSJRNN+QRSmmSCfTdzAGND/SeiOtjmosQHfkcr19ZztRWBlB617LMlkLJPez09E0jpUcseWwIpXveQBKk3X3udwQ5GJ/d2ICzhgVvfYDm+xYcJ99PD/L9HjuKV/F/OD9/1ZzYXY2MVbbQUEEipq7T6arYMULUiY2FL6hP1SiZbEEiZLGiAmiOQCpCwJjdLIGWyoAFojkCKFzUkQQq3rOnVvYfi8WrzFgyGPu3UidngljWYMFQCghSuq1JKGKyzXu1XoKioSMlEUz6BlLJMuD/enIv3ZYjC/fOO3clVrhDAEgKpAIprYtMEUiaKGcCmCKQCKK5JTRNI8UKaDlL41hpGMY+7eJHvTSEnJyeHrVca0P97BQtrs5Ue7eEoEK4QpnDPPc908sRJVta9S1fPIt3fCaS8S1ZZ9RJGn7gtQ1TY0nhIfFTg3diCXAIpC0Q2oQsCKRNEtKAJAikLRPazCwIpXkDTQQrjJyFonDx+gu/NRw6+Qde6RUsfFtYV+QIpCXA6ffiRG0wlxMdDh3bt2LWjjb9J6ge1TExI9Lc5YerPWxAB+KNmJJVUVMFP+9NliHo9JgkycoqNNGVaHQIp06QMaEMEUgGV17TGCaRMkzJgDRFI8dIKAVL4qAZBCtcjiZB8gRSOb8a0aQyY8BFel086Q+ePq2epEHr8DXsgXT+BlKRE9WdeaQX02p4iQ9R7667Awxel7kY2fCOQskF0A10SSBkQzYYqBFI2iK6zSwIpXjAhQGrf3r0MTF5v3ZofoQ05+FYe7qf38OFDxd6vJV+DH38YAB07vA0d334HBv34I2CeWYlAqkbJ7MIy+HDDFRmium+9Brkl7rG/aqytPSOQslZvo70RSBlVztp6BFLW6m2kNwIpXjW/QQpjMuG6KOno/+23DIr+HTNGzpPKPD8RWP787Xc2E4WzORiniVK1AgRS1Trcyi2GN1YlyRDVf28aFJcHNlq5nnuQQEqPWvbZEkjZp72engmk9Khljy2BFK+73yBVWlrK3lJDEPLneOvNdnA/8z4/whDNIZACuJz9ApovS5AhasSxW1BR9VKoO4JASih3KA6GQEpRGqEKCKSEcofXwRBI8bL4DVLYJIYF2L5tG/z68y/QuH4DBlRtWr0K7d940+fxdrv2gG+4zZ87F7Kzs/nRhXBOqIPUyXu50GBJnAxRM2MzLQ20qfXWI5DSqpS9dgRS9uqvtXcCKa1K2WdHIMVrbwpIuTY7e+YsBlJ639pzbYPOAUIZpLalPYXakdWRyjFi+corj4S9JQikhHWN28AIpNzkEPYLgZSwrpEHRiAlSyGfmA5STx4/gYZ16+kOfyCPiE6YAqEKUlFJD+VZqFcWXYQ9Gc+EviMIpIR2jzw4AilZCqFPCKSEdg8bHIEU7yPTQQq7KCwshIoKMd6q4i/ZGTmhBlJVL1/CxDN3ZYhqFBUHZzLzhHcWgZTwLmIDJJByhp8IpMT3E4EU76OAgBTfDZ9TXFwMd+7cgdxce7b24EckVk4ogVR5ZRX8dviGDFGtlidA8pNCsRyiMBoCKQVhBMsmkBLMIQrDIZBSEEagbAIp3hmmgxSGQ/hj6G9w6uRJvjcAqKqqgmlTpkJYo8ZsLRUGtfzt11/hwYMHXu1DNTNUQKqovBL67k6VIeqtNZfgXl6JY9xOIOUMVxFIOcNPBFLi+4lAiveR6SB17uxZBkj4xh5Ck2eaPXMmK/cMlfDx+x8AhlKgVK1AKIBUTnE5dNmSLENU503J8LSo3FG3AIGUM9xFIOUMPxFIie8nAineR6aDVMSCBQyUJowdx/X2ICsLGtWvz8r/HjmKRQ5PSEiA9955l+WtW7OWqxOqGcEOUvfzS+GdtZdliPpq53V4USZOoE2t9x2BlFal7LUjkLJXf629E0hpVco+OwIpXnvTQWrQwIEMivbs3s31hnCFM1E9unYDfAQoJQkacJsVStUKSJqgXsG2afHWU/HQZmWiDFGDD2ZAaSU/e+mEe4FAygleArZR9rz5Ec4YrMZR7t13ADZs3KzR2hlmBFLi+4lAiveR6SDVq3sPBkvpaWluveFju1bNmrMyhATXhI8A69aqDRjEk1K1AsEKUsMXxEDDxTUxosaeugP4xp5TE4GUMzxHM1LO8BOBlPh+IpDifWQ+SPXoyWApIyPDrTecocLZlQ7t2nldO9UiLIzFn3KrFMJfghGkDtzKgdoLz8szUQvjs4SMVq7ntiOQ0qOWfbYEUvZpr6dnAik9atljSyDF6246SA0Z/DMDpouxsW69fdnrC5YfsWChW770pVnjJtCoXn3pa8h/BhtIrbv2GP4bUT0TVSsiFjZdfxIUPiaQcoYbCaSc4ScCKfH9RCDF+8h0kFq7eg0DpmG//yH3dujAQZbXoE5dr3vq5eTksPLXW7eW64T6SbCA1MuXL2FeXJY8C/XKwvOw6HBc0LiXQMoZriSQcoafCKTE9xOBFO8j00EKNx9u0qAhA6P+/frB8D/+ZDNN+FgvfOJEfgQAcPjQIWb//XffeS0PxcxgAKnKqpcw+sRtGaLClsbDXwtWsoW/weJTAilneJJAyhl+IpAS308EUryPTAcp7GLzxk2AgTYRnqSjyyedAaOZe0sjhg1jdgvmzfNWHJJ5TgepkooqGLgvXYao11YmQXpOEfx/e+fBBUWxde3vl7zXiJELKpjABIoYMaFcc7zmjFnJOQoCkrOIIgYUEBNgAEUkiCAgyCULkpEc6lu78Iw1Haa6e0JXD7vWmjUz3RVO7dPh6Ur9eu8+BCnHj+jVa9aoFq3aqr379jluaXTzCFLRtUozJkEqTfWjlU2Q8utUFpBCMcuXLdMtUC8+97waOWJE6GKbWAahbevW6tWXXw7s9vObfHRsyTJIbdt7QN30/sIcRDUcM1+t23lksVWClPvHL0HKfR/BQi5/kA0/tWvfSf26eEk2jI1gJUHKL1LZQMpfFLfEUSCrIPXHX/tUo7fn5yDqhvd+Udv2/PMCa4JUnKMgnbgEqXR0j1sqQSquYunEJ0ilo3ucUhf9uli169A5TpK8uASpPDnc+ZNFkPp96x5Vb8TcHETd+8lihS4+MxCkTDXc/E2QctMvXqsIUl5F3PxPkHLTL6ZVmQGpFb//rubPm6fmzpmjlixZovbvz9Y71UzRK/E7ayA1f8NOVXvw7BxEPfvFMnXgkH+hTYJUJY6e4sogSBWnX6VSE6QqpXRx5RCkitOvEqmdBqlfFvyix0nhBcYy6Fy+sQDnM08+pb74/PNK6JS5MrIEUtNXblUn9Z+Vg6hOM1aFLrRJkHL/UCRIue8jWEiQyoafCFLu+8lZkBo4YIBv5p5AlPcbi3ju3XNkMLL7klfGwqyA1PuL/1TH9v3nlS9D5q0vKBBBqqA8TuwkSDnhBqsRBCmrRE5EIEg54YaCRjgJUoAogaUrGl2uunftqr779luF9++hW2/2jz+qAW++qW5r9p9cvP/ed3/Bih5tO7MAUgPnrsu1Qh3X7wc1Yekmq5sIUlaJUo9AkErdBZEMIEhFkin1SASp1F1gNcA5kPrrr79UrdNO14DUs3uPwPfqmbXCquen1jhJx/95/nxz11H922WQwkuG2327MgdRpwyYpb5dvS2SvwhSkWRKNRJBKlX5IxdOkIosVaoRCVKpyh+pcOdASl4Rg3frRQ1dOnXSIPXS8y9ETVL18VwFqf0HD6mnPl+Wg6gzh8xWCzb+FdkfBKnIUqUWkSCVmvSxCiZIxZIrtcgEqdSkj1ywcyCF17ygW+/jCRMiV2L9+vU6zdln8V17IpqLILVr/0F154RfcxBVf+Rc9b9te8TkSN8EqUgypRqJIJWq/JELJ0hFlirViASpVOWPVLhzINX0hhs1FGHGXpyA7r1TatSIk6Sq47oGUpt371fXjluQg6grx/6sNu6Kv4QFQcr9w5Yg5b6PYCFBKht+Iki57yfnQOq2Zs00SM35aU5k9Q4fPqxn+OFlxwxHFHAJpFZv36suHj0vB1H/+XCR2rnvYCJXEaQSyVbRRASpisqduDCCVGLpKpqQIFVRuRMV5hxIvfzCixqkMNA8avjyiy90GrRmMRxRwBWQWrxpl6oz9KccRD3y6VK192D+auVxfEaQiqNWOnEJUunoHrdUglRcxdKJT5BKR/c4pToHUmiJwhipumeepTZtsk+H37t3r7rp+ut1mj6934hT96LjomzMGnztlVfUQ//9r3rw/gdU6xYt1bSvpqp9ljffr1u3TrVv21Y9cO99Cks39OrZU+3YsaNomyQDF0Dqh7Xb1WkDf8xBVIvpKxRm7BUTCFLFqFeZtASpyuhcbCkEqWIVrEx6glRldC6mFOdACpW5qvEVGowuqldfobUJwOINBw8e1OtJ3dDkuhx4bdsWbQq9N6+4/9GVOHTwEHXmv2vpsgF+GJ+FrkVZ/+rKyxurtWvXBmbd940+6pQTa+i4+D7p+BP077Nq1VaTJ00KTBN3Y9ogNWX5ZnXimz/kIOqNH9eErlYep24EqThqpROXIJWO7nFLJUjFVSyd+ASpdHSPU6qTIPXb0t90i5RACSDl1ltuUY8/8qh64rHH1D133qlqnV4zBy14XcysH36IU++i4u7evVtd3vBSdWG9emrE8OF5wPTrokXqjltv07bdfcedvnLQWoV6nVOnjpr4ySd6P8Ds7TFjdJ0AY3ivYLEhTZAas3CD+lefI6uV4/vthRuKrU4uPUEqJ4WzPwhSzromzzCCVJ4czv4hSDnrmpxhToIUrFu7Zk0OSASogr4xLgqrnVc6oGtuz57gqft6UdG/QW/1qtV5pklr27fffJO3HX/GjxunIQvAWGxIA6QAhL1mrcm1QqFF6rPftxRblbz0BKk8OZz8Q5By0i0+owhSPkmc3ECQctIteUY5C1Ji5YYNG9SoESMV3qd31+13qNv/c6tulcJrZFxeyfyWm5pqKMLrbCRs3rxZb2t8WSPZlPd94MABVfeMM1XNU061ruielzDgT6VB6uChw+rVaStyEFVz0I9q1rrSjfmSKhKkRAl3vwlS7vrGtIwgZarh7m+ClLu+EcucBykxNEvfGL9V/7zzNTStWrUqZ7rATfNnns1t8/6487bbdTp0ERYTpCy04v00+6disrKm3XPgkHpo8tIcRJ09bI5asmmXNV2SCASpJKpVNg1BqrJ6Jy2NIJVUucqmI0hVVu8kpRGkkqhmSSOvucFsQjP0fv11DUn9+/UzN+f9bt2ylY4zZvTovO3eP/sPHFBz580P/QwZPETnA5Dq3Lmrenvsu6Gfr6ZOU1OnTU/0mfjldNVo2IwcRJ0zaIZ677NkeUWxoWPnrmr0W28nsjVK/pWO88VXU1WLVm3Vhx99XDV1+mjCJ7pOn3/5VdXUCcdcx05dq6Y+OM4HDByievfpV1V16t6jlxo6bGRV1al1m/Zq3HvvV02dJk2eoq8Pkz6dUjV1eve991Xb9p28t+nI//9f5JgRI/65caPCMgbesUWFkmPQNmbRma0/heKXch+66zA7b+XKlWrKp1PUM08+pQEG3XfeOrz68st638cfhb/+ZsigwTpO967dCpq5Z+9e9d74D0I/7dq2z4HU0888qzp16Rb6GTh4qBo0ZFjsT4/Bo1TdvtNyEHVev69U78EjYucTp+w27Tqonr3eKGsZcewpNi60B0j16de/aurU980Buk4DByU7rorVtBzpccy1aduhanwEjbp066k6du5WVXVq16Gz6tajV1XVqWXrdhp4y3Fcp5HnmwMG6esDvtMovxxl4oGkTbuOBe/ZhXaWHKSkNafJVVcXKjdvH6ADLS9Yw6nSAeO2zEHwmGHYplVrtX+///UnzzdvruN+OmlyqJkjR4zQcTq2ax8aJ8qOcnft/b51jzp/xJwcRN3z8WK1e3+y1cqj1EfisGtPlHD3m1177vrGtIxde6Ya7v5m1567vhHLnOvaw/ghgEn3rl3FRuv319On6zRNrr7GGrfUEd4ZO1Z1bN9BtWvTRj3x6GMKa1/B/ovrX6C8wPTCc8/pfd7tpk1YTgHpkWcxoZwgNX/DTlV78OwcRDX/crk6cKi4hTaj1pUgFVWp9OIRpNLTPk7JBKk4aqUXlyCVnvZRS3YOpJo1vdkKG97KYQV0wMfpJ5/i3ZXK/0kTJ6pap52u3/9nzizECuiwc8KHH4XaNXjgIB3H1rUXmsHfO8oFUtNXblUn9Z+Vg6hOM1aVZKFNW31kP0FKlHD3myDlrm9MywhSphru/iZIuesbscw5kGp6/Q0aJL75+mux0fqN9ZwAKCefcKI1bqUi9OvTV9v0yosv5YrEIHPYiX1hodVrLXSct0YVHmwell62lwOkPljypzq275GFNv+vz/dqyLz1UlzFvglSFZM6cUEEqcTSVTQhQaqicicujCCVWLqKJXQOpLBqOWDj3bHvRBYBg7qRBq9scSX8OGuWtgktbBJmzpiptz371NOyyfeNdbJQlwU//+zbF2dDqUFq8Lx1uVao4/r9oD5aan8PYhx7o8YlSEVVKr14BKn0tI9TMkEqjlrpxSVIpad91JKdAykstAmQ8C4dUKhC3bp00Wnuu/ueQtEqug/vzEM97rnrrly5u3bt0t19lzVokNtm/sAAdbxvDwPWgwarm3Ftv0sFUlitvON3K3MQdfKAWeqbVZV5p2FQHQlSQaq4tY0g5ZY/wqwhSIUp49Z2gpRb/giyxjmQwngndNEBQrDuEm7khQLesYfxSIj/+WefFYpasX2HDh3SK7DDJrxDzwwyy2/a1GnmZv0bA9eR5t677/bti7uhFCC1/+Ah9fTny3IQhQHmP2/8K64pJY1PkCqpnGXJjCBVFllLnilBquSSliVDglRZZC1pps6BFGon6y0BKtA1NnzoULVk8WK1ZcsWtX3bdrVm9Wr10QcfKnSRnXjscRo+GjVsqLCieCXCl198odD6Ne6dd9WKFStysLd3714147vv9KtsYHv9c89Te/fszTNp0cKFGhTr1D5Dv1sPNqP1CXXEq2FOOv4EtfCXhXlpkvwpFqR27T+o7vr41xxE1R85V63YGvxuwST2JU1DkEqqXOXSEaQqp3UxJRGkilGvcmkJUpXTOmlJToIU3jknyyAASGwfLH65fn3lBj7P+G6GOuGYY3N21TjueD1jUKAO9uJlygC+oAAIxHgub72w7f3x44OSxN5WDEht2bNfNRn3Sw6iGo/9WW34a19sG8qRgCBVDlVLmydBqrR6lis3glS5lC1tvgSp0upZjtycBCmpKMYZPfzgg+q0k072QQcg5PprmyjMhNu9e7ckqdg3IAnddlgE9PFHHtV2YlVzrEy+ZMkSqx07tm9Xb/TqpV/A/OTjj6u+b/RRO3aU7iW/SUFqzY696pLR83IQ1eyDRWrHvgPW+lQqAkGqUkonL4cglVy7SqYkSFVS7eRlEaSSa1eplE6DlIiA5Q2+nzlTj4HCYpbTp02raAuU2JGl7yQgtXjTLlVn6E85iMKLiPcePORUtQlSTrkj0BiCVKAszm0kSDnnkkCDCFKBsji1MRMg5ZRiGTEmLkj9sHa7On3gjzmIenXaCnWwQquVx5GUIBVHrXTiEqTS0T1uqQSpuIqlE58glY7ucUolSMVRK0Nx44DUlOWb1Ylv/pCDqDd+XJMbQO9alQlSrnnEbw9Byq+Ji1sIUi56xW8TQcqviWtbCFKueaRE9kQFqTELN6h/9TmyWvkxfb9XYxduKJEF5cmGIFUeXUuZK0GqlGqWLy+CVPm0LWXOBKlSqlmevAhS5dE19VxtIIX1uXr/uCbXCoUWqc9/35K63TYDCFI2hdLfT5BK3wdRLCBIRVEp/TgEqfR9YLOAIGVTKKP7C4HUocOHVYvpK3IQhbFRs9aVbsZgOSUjSJVT3dLkTZAqjY7lzoUgVW6FS5M/Qao0OpYzF4JUOdVNMe8wkMIsvIc/XZqDKMzSw2y9rASClPueIki57yNYSJDKhp8IUu77iSDlvo8SWRgEUlgPCutC/d/fY6IuHj1Prd6ev/J6osIqmIggVUGxExZFkEooXIWTEaQqLHjC4ghSCYWrYDKCVAXFrmRRXpDCyuRYoVwgCiuXYwXzrAWClPseI0i57yNYSJDKhp8IUu77iSDlvo8SWWiC1Cffzlb1RszNQdTdHy9WeJdeFgNByn2vEaTc9xEsJEhlw08EKff9RJBy30eJLBSQOu7sS9Tp/Y8sb4DWqGe+WKb2O7ZaeZwKEqTiqJVOXIJUOrrHLZUgFVexdOITpNLRPU6pBKk4amUoLkDq2AuvUf/XY1quJarjdyudXWgzqrQEqahKpRePIJWe9nFKJkjFUSu9uASp9LSPWjJBKqpSGYsHkDrm1udyEDVk3vqM1SDYXIJUsC4ubSVIueSNcFsIUuHauLSHIOWSN4JtIUgF65L5rQCp4/51jDrmvjaq56c/Zr4+UgGClCjh7jdByl3fmJYRpEw13P1NkHLXN2IZQUqUqLJvGSN1/L+OUT/N/qlqakeQct+VBCn3fQQLCVLZ8BNByn0/EaTc91EiCwlSiWSreKL9Bw6oFq3aqpWrVlW87HIVSJAql7KlzZcgVVo9y5UbQapcypYuX4JU6bR0KieClFPuCDWGIBUqjVM7Zv04W73eq49TNhVrDEGqWAUrk54gVRmdiymFIFWMeg6nJUg57BzDNIKUIYbDPwlSDjvHMG3wkOHqq6nTjS3Z/0mQct+HBCn3fZTIQoJUItkqnoggVXHJExVIkEokW8UTEaQqLnnsAjdv2aKHM2zZujV2WlcTEKRc9UyRdhGkihSwQskJUhUSushiCFJFClih5ASpCgldRDEEKb94/8+/iVtcUIAg5YIX7DYQpOwauRCDIOWCF+w2EKTsGqUdgyDl9wBByq+JE1sIUk64wWoEQcoqkRMRCFJOuMFqBEHKKlHqEQhSfhcQpPyaOLGFIOWEG6xGEKSsEjkRgSDlhBusRhCkrBKlHoEg5XcBQcqviRNbCFJOuMFqBEHKKpETEQhSTrjBagRByipR6hEIUn4XEKT8mjixhSDlhBusRhCkrBI5EYEg5YQbrEYQpKwSpR6BIOV3AUHKr4kTWwhSTrjBagRByiqRExEIUk64wWoEQcoqUeoRCFJ+FxCk/Jo4sYUg5YQbrEYQpKwSORGBIOWEG6xGEKSsEqUegSDldwFByq+JE1sIUk64wWoEQcoqkRMRCFJOuMFqBEHKKlHqEQhSfhcQpPyaOLGFIOWEG6xGEKSsEjkRgSDlhBusRhCkrBKlHoEg5XcBQcqviRNbCFJOuMFqBEHKKpETEQhSTrjBagRByipR6hEIUn4XHNUgtWfPHvX++PHqjltvUxfWq6fqnXOuuuWmpmrIoMFq+7btfrWMLdO+mqqaNb1ZnVunrjr/7HPUA/fepxb+stCIUdxPglRx+lUqNUGqUkoXVw5Bqjj9KpWaIFUppZOXQ5Dya3fUgtSEDz9StWvWVMf/6xhV6/Saqun1N6ibb7xJnVrjJL3tkgsuVGvXrPEpdvjwYfXwgw/qOCefcKJOd0OT69QJxxyrt/V+/XVfmiQbCFJJVKt8GoJU5TVPUiJBKolqlU9DkKq85nFLJEj5FTtqQerJxx9X59U9W334wQdq//79OWV27typHnv4EQ1FTzz6WG67/Hhr1Gi979orr1LLflsmm9XP8+erBhdepPf9OGtWbnvSHwSppMpVNh1BqrJ6Jy2NIJVUucqmI0hVVu8kpRGk/KodtSC1a9cutXnzZr8iSqlt27apU2rUUCcdf4Kvi6/+uedpWFq6dKkv7bfffKP33dasmW9f3A0EqbiKpROfIJWO7nFLJUjFVSyd+ASpdHSPUypByq/WUQtSfinyt1zV+AoNRcuX/dPqtGb1ar0N3YBhAWOt0OW3d+/esCiRthOkIsmUeiSCVOouiGQAQSqSTKlHIkil7gKrAQQpv0QEKb8mesvF9S/Q0LRp06ZcjEkTJ+ptr7z0cm6b9wcGnWPc1ezZs727Yv0nSMWSK7XIBKnUpI9VMEEqllypRSZIpSZ95IIJUn6pCFJ+TRRaoQBDV17eOG9vl06d9PbhQ4fmbTf/dO54JM7QwUPMzb7fe/ftUxMnfRr66dKlqy4LdlEtgooAACAASURBVDz/3IuqR8/eoZ9Ro8eo0W+9nYlP2/adVJ9+/TNhaxRNR44eo1q0aqsGDRlWNXUaPGSYrhPqFkWDLMTBMYdjLwu2RrUR14QuXXtUVZ06dOqqevXuW1V1atm6neo/cHDV1GnY8JH6+jBsxKiqqVP/AYNVm3YdfffpqBsIUgFKPf3EkxpiMLDcDGiJAth8PGGCuTnv97AhQ3Scbl265G33/tm3f7+aMfOH0E+/fm/mQKp1m3ZqyLARoR8A2aTJUzLxad+xixo2fFQmbI2i6SeTJuuLyjvj3quaOr07bryu08cTJ1VNnXDM4diL4tOsxOn75gD1eq8+VVWnrt16qoGDhlZVnVq1aa/eGjO2aur0/ocf6evDBx9OqJo6jR4zliDlhZRi/mMWH2AJSyEcOnQoL6vnmzfX+6ZM/jRvu/ln1IiROk6Hdu3MzbF/s2svtmSpJGDXXiqyxy6UXXuxJUslAbv2UpE9VqHs2vPLxRYpQ5PvZ87Us/Xq1D5DrVy50thz5OeLzz2vIWnypEm+fbJh+LBhOk6nDsmbCZEXQUoUdfubIOW2f8Q6gpQo4fY3Qcpt/8A6gpTfRwSpvzXB4PCap5yqzvx3LbVoYfAK5S1ffU1DElZDDwsD3jzSJdejW/ewKJG2E6QiyZR6JIJU6i6IZABBKpJMqUciSKXuAqsBBCm/RAQppdTcOXP06uZY6XzBzz/7Vfp7i7Q29ezeIzTOS8+/oGFr/HvvhcaJsoMgFUWl9OMQpNL3QRQLCFJRVEo/DkEqfR/YLCBI+RU66kFq3ty5GqLQErVgwQK/QsaW+fPmaUjCyudhAWtMYYyVuep5WNxC2wlShdRxZx9Byh1fFLKEIFVIHXf2EaTc8UWYJQQpvzJHNUgBjPCevbpnnKl+XbTIr45nC14lgxXP8ZLiAwcOePYqtWP7dnXaSSfrPPFOvmICQaoY9SqXliBVOa2LKYkgVYx6lUtLkKqc1klLIkj5lTtqQQrvxkNX3tln1VFLlizxKxOypfkzz+oWpzGj85dGQHR0+el1n5o3D0kdfTNBKrpWacYkSKWpfvSyCVLRtUozJkEqTfWjlU2Q8ut0VIIUXvUCiAL0PPTAAwoLbYZ9+vfrl6faH3/8oTCr78Rjj1OtW7TULyvGGKvmTz+j8zurVm21fv36vDRJ/hCkkqhW+TQEqcprnqREglQS1SqfhiBVec3jlkiQ8it2VILUj7NmaegBSNk+9c4516caWrNuaHKdLy22AapKEQhSpVCx/HkQpMqvcSlKIEiVQsXy50GQKr/GxZZAkPIreFSCFMYyzfhuRqTPT7N/8qv29xbAzqABA9XggYPU19Onh8ZLsoMglUS1yqchSFVe8yQlEqSSqFb5NASpymset0SClF+xoxKk/DK4t4Ug5Z5PgiwiSAWp4t42gpR7PgmyiCAVpIpb2whSfn8QpPyaOLGFIOWEG6xGEKSsEjkRgSDlhBusRhCkrBKlHoEg5XcBQcqviRNbCFJOuMFqBEHKKpETEQhSTrjBagRByipR6hEIUn4XEKT8mjixhSDlhBusRhCkrBI5EYEg5YQbrEYQpKwSpR6BIOV3AUHKr4kTWwhSTrjBagRByiqRExEIUk64wWoEQcoqUeoRCFJ+FxCk/Jo4sYUg5YQbrEYQpKwSORGBIOWEG6xGEKSsEqUegSDldwFByq+JE1sIUk64wWoEQcoqkRMRCFJOuMFqBEHKKlHqEQhSfhcQpPyaOLGFIOWEG6xGEKSsEjkRgSDlhBusRhCkrBKlHoEg5XcBQcqviRNbCFJOuMFqBEHKKpETEQhSTrjBagRByipR6hEIUn4XEKT8mjixhSDlhBusRhCkrBI5EYEg5YQbrEYQpKwSpR6BIOV3AUHKr4kTWwhSTrjBagRByiqRExEIUk64wWoEQcoqUeoRCFJ+FxCk/Jo4sYUg5YQbrEYQpKwSORGBIOWEG6xGEKSsEqUegSDldwFByq+JE1sIUk64wWoEQcoqkRMRCFJOuMFqBEHKKlHqEQhSfhcQpPyaOLGFIOWEG6xGEKSsEjkRgSDlhBusRhCkrBKlHoEg5XcBQcqviRNbCFJOuMFqBEHKKpETEQhSTrjBagRByipR6hEIUn4XEKT8mjixhSDlhBusRhCkrBI5EYEg5YQbrEYQpKwSpR6BIOV3AUHKr4kTWwhSTrjBagRByiqRExEIUk64wWoEQcoqUeoRCFJ+FxCk/Jo4sYUg5YQbrEYQpKwSORGBIOWEG6xGEKSsEqUegSDldwFByq+JE1sIUk64wWoEQcoqkRMRCFJOuMFqBEHKKlHqEQhSfhcQpPyaOLGFIOWEG6xGEKSsEjkRgSDlhBusRhCkrBKlHoEg5XcBQcqviRNbCFJOuMFqBEHKKpETEQhSTrjBagRByipR6hEIUn4XEKT8mjixhSDlhBusRhCkrBI5EYEg5YQbrEYQpKwSpR6BIOV3AUHKr4kTWwhSTrjBagRByiqRExEIUk64wWoEQcoqUeoRCFJ+FxCk/Jo4sYUg5YQbrEYQpKwSORGBIOWEG6xGEKSsEqUegSDldwFByq+JE1sIUk64wWoEQcoqkRMRCFJOuMFqBEHKKlHqEQhSfhcQpPyaOLGFIOWEG6xGEKSsEjkRgSDlhBusRhCkrBKlHoEg5XcBQcqviRNbCFJOuMFqBEHKKpETEQhSTrjBagRByipR6hEIUn4XEKT8mjixhSDlhBusRhCkrBI5EYEg5YQbrEYQpKwSpR6BIOV3AUHKr4kTWwhSTrjBagRByiqRExEIUk64wWoEQcoqUeoRCFJ+FxCk/JpE3rJv3z61YcMGtXHDRnXw4MHI6aJEJEhFUSn9OASp9H0QxQKCVBSV0o9DkErfBzYLCFJ+hQhSf2sy7aupqlHDhurmG2/yq+TZsnPnTtWnd29Vu2ZNdfy/jtGf+ueep94d+07JgIog5RHd0b8EKUcd4zGLIOURxNG/BClHHWOYRZAyxPj751EPUocOHVI9unXPAyK/TP9s2b17t2p8WaMcPLVu0VK1fPU1Vaf2GXrbww8++E/kIn4RpIoQr4JJCVIVFLuIoghSRYhXwaQEqQqKnbAogpRfuKMapLZs2aLuuv0ODUAP3v+AqnV6TYWWpUKhW5cuOWDatWtXLurWrVtVs6Y3630TPvwotz3pD4JUUuUqm44gVVm9k5ZGkEqqXGXTEaQqq3eS0ghSftWOWpD666+/1AXn19Pg06VTJ4WWqVNOrFEQpBAHsIV4f27c6FNzyeLFOr8rL2/s2xd3A0EqrmLpxCdIpaN73FIJUnEVSyc+QSod3eOUSpDyq3XUghSkwDgns/XohGOOLQhSS5cu1aCEVqyw0PjSy3ScHdu3h0WJtJ0gFUmm1CMRpFJ3QSQDCFKRZEo9EkEqdRdYDSBI+SU6qkHKKwcGjhfq2hs/bpyGpLatW3uT5v4/9vAjOs43X3+d25bkB0EqiWqVT0OQqrzmSUokSCVRrfJpCFKV1zxuiQQpv2IEKUMTG0i1b9tWQ9KY0aONVPk/X+/RU8d5s2+//B2efxi0PmjwsNDPiy+8rPOBTY8++oRq1aZ96KdL1x6qa7eemfi0bN1Ote/YJRO2RtG0S7eeqkWrtqpT525VU6dOXbrpOqFuUTTIQhwcczj2smBrVBvbtu+k2rTrUFV1at2mvWrXoXNV1QnXh46dulZNnTp37a6vD50zdN+xnVMdOnVVbdp19Nylo/8lSBla2UDqlRdf0nAz8ZNPjFT5P4cNGaLjdO3cOX+H5x/WnfrfypWhn3fGjs2B1IABg9QXX04N/cydN1/Nm/9zJj44Cd//4KNM2BpF05/mzNUXlS+/mlo1dfpq6nRdpx9/mlM1dcIx17lL96qpD47N4SNGq/4DBlVVnXr17qvGjH23qurUum0HNenTKVVTp29nzNTXh+9mfF81dZo0eYrCg0nSQJAylLOB1HPPPqvhZsrkT41U+T9HjRip43Ro1y5/R8x/7NqLKVhK0dm1l5LwMYtl115MwVKKzq69lISPUSy79vxiEaQMTWwg9fILL2pIKtQiNXzoUB0HMwGLCQSpYtSrXFqCVOW0LqYkglQx6lUuLUGqclonLYkg5VeOIGVoYgMpDDJHHKxgHhb69H5Dx+n9+uthUSJtJ0hFkin1SASp1F0QyQCCVCSZUo9EkErdBVYDCFJ+iQhShiY2kAJAIU6nDuGD0p5+4kkdZ/KkSUbO8X8SpOJrlkYKglQaqscvkyAVX7M0UhCk0lA9XpkEKb9eBClDExtIyTpS999zr5Eq/+e1V16lQWrt2rX5O2L+I0jFFCyl6ASplISPWSxBKqZgKUUnSKUkfIxiCVJ+sQhShiY2kDp8+LB+UXGt005XWBndG9atW6dOPPY4dU6dOt5dsf8TpGJLlkoCglQqssculCAVW7JUEhCkUpE9VqEEKb9cBClDExtIIWr3rl11ixPGSwGsJBw4cEA9+fjjel/3rt1kc+JvglRi6SqakCBVUbkTF0aQSixdRRMSpCoqd6LCCFJ+2QhShiZRQAoLaV7e8FINTE1vuFG9NWq0GjlihLqq8RV622UNGijzZcZG9rF+EqRiyZVaZIJUatLHKpggFUuu1CITpFKTPnLBBCm/VAQpQ5MoIIXoeGFxi1dfVScdf4KGJ6Q7+YQT9bYNGzYYOSb/SZBKrl0lUxKkKql28rIIUsm1q2RKglQl1U5WFkHKrxtBytBk586dgWOfjCh5P9evX69mzpipvp85U5UKoKQAgpQo4fY3Qcpt/4h1BClRwu1vgpTb/oF1BCm/jwhSfk2c2EKQcsINViMIUlaJnIhAkHLCDVYjCFJWiVKPQJDyu4Ag5dfEiS0EKSfcYDWCIGWVyIkIBCkn3GA1giBllSj1CAQpvwsIUn5NnNhCkHLCDVYjCFJWiZyIQJBywg1WIwhSVolSj0CQ8ruAIOXXxIktBCkn3GA1giBllciJCAQpJ9xgNYIgZZUo9QgEKb8LCFJ+TZzYQpBywg1WIwhSVomciECQcsINViMIUlaJUo9AkPK7gCDl18SJLQQpJ9xgNYIgZZXIiQgEKSfcYDWCIGWVKPUIBCm/CwhSfk2c2EKQcsINViMIUlaJnIhAkHLCDVYjCFJWiVKPQJDyu4Ag5dfEiS0EKSfcYDWCIGWVyIkIBCkn3GA1giBllSj1CAQpvwsIUn5NnNhCkHLCDVYjCFJWiZyIQJBywg1WIwhSVolSj0CQ8ruAIOXXxIktBCkn3GA1giBllciJCAQpJ9xgNYIgZZUo9QgEKb8LCFJ+TZzYQpBywg1WIwhSVomciECQcsINViMIUlaJUo9AkPK7gCDl18SJLQQpJ9xgNYIgZZXIiQgEKSfcYDWCIGWVKPUIBCm/CwhSfk2c2EKQcsINViMIUlaJnIhAkHLCDVYjCFJWiVKPQJDyu4Ag5dfEiS0EKSfcYDWCIGWVyIkIBCkn3GA1giBllSj1CAQpvwsIUn5NnNhCkHLCDVYjCFJWiZyIQJBywg1WIwhSVolSj0CQ8ruAIOXXxIktBCkn3GA1giBllciJCAQpJ9xgNYIgZZUo9QgEKb8LCFJ+TZzYQpBywg1WIwhSVomciECQcsINViMIUlaJUo9AkPK7gCDl18SJLQQpJ9xgNYIgZZXIiQgEKSfcYDWCIGWVKPUIBCm/CwhSfk2c2EKQcsINViMIUlaJnIhAkHLCDVYjCFJWiVKPQJDyu4Ag5dfEiS0EKSfcYDWCIGWVyIkIBCkn3GA1giBllSj1CAQpvwsIUn5NnNhCkHLCDVYjCFJWiZyIQJBywg1WIwhSVolSj0CQ8ruAIOXXxIktBCkn3GA1giBllciJCAQpJ9xgNYIgZZUo9QgEKb8LCFJ+TZzYQpBywg1WIwhSVomciECQcsINViMIUlaJUo9AkPK7gCDl18SJLQQpJ9xgNYIgZZXIiQgEKSfcYDWCIGWVKPUIBCm/CwhSfk2c2EKQcsINViMIUlaJnIhAkHLCDVYjCFJWiVKPQJDyu4Ag5dfEiS0EKSfcYDWCIGWVyIkIBCkn3GA1giBllSj1CAQpvwsIUn5NnNhCkHLCDVYjCFJWiZyIQJBywg1WIwhSVolSj0CQ8ruAIOXXxIkt1QpSnbt2V19Nne6ExqUwQkDqt2XLSpGdE3n8vmKFatGqrdq7b58T9pTCiK+mTVedu3QvRVbO5PH22HfVoMFDnbGnFIb0fqOf+mjCxFJk5Uwerdu0V3PmznPGnmIN2bR5s74+bNm6tdisnEn/05y5qnXbDontIUgllq68CasVpNq066g+mTi5vOJVMHcBqUWLF1ew1PIWtfS336oOpCZOmqxw7FVTGDR4mHq9V59qqpLq1KW7GvP2O1VVp5at2qoZ3/9QNXWqRpD6bsb3qmXrdol9RJBKLF15ExKkyqtvqXInSJVKyfLmQ5Aqr76lyp0gVSoly5dP2iC1d+9eNX7cOLVy5cqSVZIgVTIp3cqIIOWWP8KsIUiFKePWdoKUW/4Is4YgFaaMO9vTBiko8dvS39TZZ9VRTa6+Rg3s31+tXrW6KIEIUkXJ525igpS7vjEtI0iZarj7myDlrm9MywhSphpu/nYBpKDMkiVLVJ3aZ6jj/3VM7jNowEC1ds2a2MIRpGJLlo0EBKls+IkglQ0/EaSy4SeClPt+cgWkoNSvixaps2rVzoGUQNVN11+vhg4eotatWxdJUIJUJJmyF4kglQ2fEaSy4SeCVDb8RJBy308ugRTUWrBggQ+kBKjw3fSGG9XwoUPVH3/8ESouQSpUmmzvIEhlw38EqWz4iSCVDT8RpNz3k2sgBcUAU7VOr1kQqABVzZrerEaOGKE2btiYJzRBKk8ON/5s2LBB3XX7HUV9rrnyqtxBcf21TYrKq1hbSpn+gvPrqysbX1E19bnztttVvfPqqZuuv6Fq6oQnONTpjltvq5o6XdX4CoVjr5THctp5Nbykgbr4wouqqk4X1r9ANbr0sqqqU/3z6qkm11xbNXW69ZZm+vpwa7NmTtXphibXqRrHHZ+7b5qtUkG/b73lFjV65Ci16c8/FUHKDXbKswLTMoMcF3fbCcccW5J84pbL+P8MXqQW1ILHAI8BHgPVewyceOxx6rlnmxe1YC/XkcpDoNL8Wb9+vbrummuL+jS86OIcRF3WoGFReRVrSynTX3B+PXVFo0ZVUx9oc27dsxVaEEupU5p5XXvV1eqcumdXTX2g5RWNLlf1z69XVXW69JIG6pILL66qOl2EFqmGl1ZVnc4/51yFFtE0z+lSl133rDrO1afxZY1itUhdfcUVql+fvmrFihVq/fo/VJ9+/RMDAEEqsXTlTVitY6RGjHxLYeXsagqdu/ZQ23fsqJoq7fzrL9Wxc7eqqQ8qglf4DB8xuqrq9O13M9TkTz+rqjq9N/6DqnqdCpzTp29/tb7AQOesOfDQ4cP6zQcu2b106VJV98yzco0PYS2IV17eWPXp/Yb6ffnyPPMJUnlyVM8fglR2fEmQct9XBCn3fQQLCVLu+8k1kMLinGHghO1ojX6jVy+17Lfw96ESpNw/7hJZSJBKJFsqiQhSqcgeq1CCVCy5UotMkEpN+sgFuwRSK37/XZ1bp64PpBo1bKh69eyp0FIVJRCkoqiUQpx9+/apAwcO+ErevXu32rx5c+A+MzJBylTD7d8EKbf9A+sIUu77CBYSpNz3kysghbFN5599Th5E9ezeQ694HldFglRcxcocf//+/frdP5c3vFRt2bJFl7Zz506FpeubXHV1zumn1KihWr3WInTlVYJUmR1VwuwJUiUUs0xZEaTKJGyJsyVIlVjQMmTnAkhhZny9c85VDS66WHXv2k0t/vVXdfjw4cS1JUgllq70CWfOmKkAUK+98ora8ffgYwDRRfXqq8cefkS1btFS3X3HnTmYQv9t3TPOVFh3yhsIUl5F3P1PkHLXN2IZQUqUcPubIOW2f2Bd2iC1d+9e9fZbb6lFCxcWBU+m0gQpU40Uf49/7z11+smnqK++/DJnRcd27fV7gH5Z8EtuG37gAGh86WU5oMLCh95AkPIq4u5/gpS7vhHLCFKihNvfBCm3/QPr0gapcihEkCqHqjHzxJLzJ59wovr8s3+mImN9CrQ4mWBlZrt82TJV85RTczCF/l4zVCtIff/DLLVhY/7y/Ga9s/j7s8+/VLv37Mmi6YE244lvymdfBO7L6saNG/9UM7//IavmB9q9bPlytXDRr4H7srpxztx5avXqNVk1P9Du6V9/o7Zv3x64L4sbAVKfTJycRdNDbd62fbuCn5IGriOVVLm/040ZPVrD0McTJuRyAlABolq3bJXbFvSja+fOOZB6a1T+GjfVClJBOnAbFaACVIAKUIGsKkCQKsJzeFHiKSfWUI8/8mguF8zUwwA4tDZt31b4KWTWDz/kQOqVF1/K5YEfBKk8OfiHClABKkAFqICTChCkEroFyxs0uPAi3aWHGQQS0LKE1qgO7drJptBvQBe6BBH/2aeezotHkMqTg3+oABWgAlSACjipAEEqoVsEmLCEgRmuv7aJ6ti+g8IyCFHCWbVqa5B68bnn86ITpPLk4B8qQAWoABWgAk4qQJBK4Ba0RtU/73wNQOieKyac+e9aOh+MlzIDQcpUg7+pABWgAlSACripAEEqgV8Eck476WQFqEoa9u7Zq0489jgNUl9+kT9LSspAt99Ps39KWgTTUQEqQAWoABWgAmVUgCCVQNxOHTpq+LnzttsTpP4nCQarA5Tw2bZt2z87ONg8TwtX/wCisWzFksWL1Z9VsqTD1q1bFV4CumTJEoXf1Rj27Nmj8GFwU4FNf/6pXzCL1ar/+OMPN408iq1atWqVXkl8zerVVaEClnvBC41xzUPjRpJAkEqg2g1NrtPw89LzLyRI/U+SUSNG6nyuu+bafzb+/asaW6RwAmIM2b9PPU19P3Omr85Z2YATDktbyPg2gWHUbcKHH2WlGjk7//rrLzVsyJC8VxihTiccc6y66frr1Scff5yLm/Ufo0eOyj28FPNKiTR0WPjLQn3u4PwJ+/w4a1YaphVdJsaUYikZXAvlfJJv3OSyEDB5KMwvQduz1NMA2OjetWtuSIv45sJ69fQrWorpmUnLt2i8aNemTd51HL1MTz7+eODbRgrZSZAqpE7Ivto1a+qTveWrr4XEiLYZN14ckJMmTvQlwOrnzZ9+Rn+8i3X6ImdgA7ouz6j579xF8rtvv82A1X4Thw8bluuOvfWWW1SPbt3Vm3376SUwZAYmoCQrAS0zWK4DxyHA8Jknn1J9evdWfd/oo/573/25umLR2ayH35cvV7hQyk0gayA1fdo0bfvZZ9VRjS9rFPj5ef78zLkJrbk3Xnfk4RTLxrz8wotq+NChCg+a3bp0UevXr89EnQBSYX4xt2PJHByDC37+ORP1gpHofYHNjRo21NeHd8e+o699F9e/QG+//557M1MXGIqlia5odHmuTnjZce/XX1e3NWumt51X92y1cUP0haMJUgncLzfM5559NkHqI0nQfSIH5qFDhxLn43pC1A0XQ9QVJ91DDzygf2cVpPA+Rbx8+tdFi3zS//D997oVB8CYpa6jgf376xtX0FMlABi+wzsh8VSa1YCbXJOrr1H1zz1Pt7KhTlkDqQ/ef1/7YsTw4Vl1g89uXB+a3nCjrhdmQOMF79UcVq9arR9OAFZZCd9+8432D84f7zUArdmXNWig92ephQ09CrgGeNdvhE8A8diH9+JGDQSpqEoZ8eTVLtdeeZWxNd7PFq++qp017aup8RJmLDYujjgoQfpbtmxRr778sv6fVZCC/IVuwLc1+4+u3xeff54xT4Wbe1XjK3SdZs+eHR7J8T3olsBx+PFHEzRQ4XchP7pYnaGDh+g6VFNXqwxveOTBh1yUvOQ2yfVw3DvvljzvcmWIVnecL+h6DQoD3nxT78d3FgIequqeeZY6pUYNtWvXrkCT77r9Dl0n9AxFCQSpKCp54lze8FItMg6utWvXevba/06beqSJvkunTvbIGY/xv//9T6+rhYMXAePKoFuWQaqQS1547jldv48++LBQtEzta9b0Zl2nrI6/AQBidqy8gQCtAVkEKWnZnfHdjEwdP4WMlWMLLfTVHjZv3qy7ls+tU7eo2d6V1kneGxvWvY9hADifAMVZCL8s+EXbe8ett4WaO2XypzpOn95vhMYxdxCkTDUi/saq5Thw8Ik7HmbDhg26mwR9zgcPHoxYYvVEE9CoVpBCczCOi7lz5lSF0zA+BV3ZaIXdvXt35uqEriJ0KZ9/9jm5mbHyIJS1Fil0Q+DYwmSHagjo/saxBf8cDeH1Hj21/wAeWQoYd4fjrvGll/lacHbs2KH9h3Ff69aty0S18ECI+jzx6GOh9uIcs8UxExOkTDUi/sY4GYiMT63TTtdTJ6MkxeA1dAc+9N//+vqao6SvhjjVDFLwL24MaDauhnFvmN7c9Pob9HGOAehZDBjHiPMU4zwkYMAstmUNpHDdgN24/uDF6JghOnnSJLXi99+lapn6/ubrr3V9MMwBAa/aeqNXL9W+bVsF6MAsxWoJeAjBZA5MdsjisiLSJYn7lzwkYnkKjBfFMfneu+My4yp018Hmm2+8KdRmjPdCHEyCiBIIUlFU8sRBSxJmbEFofBpefIlCs22hAAq+qF591bpFy6OyJUq0qWaQav7MkZv2kEGDpbqZ+sYgZrR6PN+8uZ6GjuUPMKPv/fHjM1UPMfbTSZP1+dm2dWvZpL+zClK33NQ0d82Ra498o7Vg4ief5NXT9T/SJYSuI8zUq3Hc8Xqyxqk1TsrVE90vaPXIesBsX/iq2JneaemAoRnoWoaPUA8ZYH7pJQ1U1sb54iEXLdTo7l+7Zo1PUjxg3Xv33bqeQUsT+RIopQhSQapE2IZF4+qdc27uhEfXB7r8zAXk0K3w2ZQpugUKNyQ8SR7toVpBwLtYWAAAIABJREFU6p2xY/WxgBacrLZGycVDbs5orr/nzjs1SAXN6HP5WEYXOloAMB7KO9MoqyCFFgC8x3Ps228rTGbADeztt95SDz/4YO46hHeAZiVgjCiONbxuCzdmzBCV4Q6o6wP33qf3o35ZDoAQrLeEBxOMGc1qwLjPc+rU0T6RN3LAbxjzm7XQq+eRblZMpMGahtI6jfFTOO6w/AGOTTy8RAkEqSgqhcTByS7ra8jNB9+nn3yKvojjYLvy8sb6wpd0xdSQojO7uRpBCt0sJx1/gp5an+XVftH9sGP7dt31gNXasVYMjl8c0wDErIyRwkURs24AgkHLVGQVpAqd9GiNgp8Aj1m51qClEDZj8PWmTZt81QO8C4CYD6i+iI5vAICgnuiazWLA+SRd5JiVjDFT8AdgRNYGbNOqdQ5GslBHALvci+AbXCswLAO/scwDuszx+5677opUHYJUJJkKR8KrXl556WVNsgCrp554Qq9FkaUF1wrXsHR75eCtlsHmeBrDCYgnmCw/bYZ5GE/TsqQD1lfJQpBulEEDBgaaW40ghYpK119Wlkfo2K69vlkVGn+H8VK4oaEVLqvh6iuyvXyILG+AWa8y+1p8gQdHedjC8hxZCxhfiHF56HLFq9/wRhH0KGCZFBx3WKgzSiBIRVGJcUqmQDWB1NfTp+u1SPBEvXxZNl5jkcSR6ELCRQUPCa4HtJphjA1agx97+BG95AFuAOYHE0RQH9n28YQJrlcrkn0CJgDJLIT+/fppPxRaYBTjDeGrgQMGZKFKPhtlNfqog5Z9GaS8Aa1RGE+EFnesAxgUZHHpBhdeFLQ7k9tkvGvUV5kRpDLp5uwaXS0ghRlHWNAN4+SyOmsq6lGEdZhwMys0yyVqXuWOh1c/wNY4HyzWWQ0BT9WoN8brZSHMmztX24tuobCAFgHUKStrFHnrIa25Qa8B88Z18T9mGEJ/20rseGMA4nlbrFysk80mwCNmXuOBLOrYUIKUTVXuL6kC1QBS6JbESXbB+fX0lO2SCuRgZliUDhdJzOZzPeAiiIkghT6YZYv6SJyw1Y1dr6tpH8Z8oOUAA5qDZiKZcV35jS4UjOnCTSvMB3hpNny1dOlSV8yObIesv4TZ2jKIPnJiRyJirS8cU3hFFF4sHRQwqQrLOqCltxqCvCLm6SeejFwdglRkqRixFApkHaRmfPedhihcHLM8sFx8iXFdmKkSFrCeSp3aZ+ibGcYCVkPI4hgpDO4N8xNaAWSdn6y9PFZWa3/2qad9rRnocgVEYQxOFgO6lmF/VsYWhmks70cN617FTFLUE8dglgPAfvx77+luTPQ0xFnviyCVZc9n0PYsgxSaefHkhYsGmrIxiLTQB91MrgcMrkR9sLo0xgW82befXq0fM3Ju/8+t+qKC/bhYVkvIIkhJ6wZWZceaS2glxBgjrPslU7XR0pa12W04p2SQPLqPUC9MEsCyG2gJwQxodAFmLeABBfbXrllT4cW+WQ5YGFXGFWJdr8EDB2ngwMvO5YXTuB5mZWVz+ALQhIkMo0eO0kuIdO/aTfcw4FqHJR7iHnMEqSwf4Rm0HbMbMcsti+8Lw7Ry2B71Y1uk1QX3Yb0lTG0++6wj68PgQiIfXDwfvP8Bvb6PC7aWygasHQMfZils27ZNNX/6mRw0iY/wjbV8MM4LS1dkMQA0sCgnuvikXhjcjOUCstoK2rplK32Mde3cOYsu8dn8+/Ll+pUqAEPxEb7hM4D9nxs3+tK4vAEgZdYDvwGDeEFzkroQpFz2Nm2jAhVUAGOGsO4Sbl7Lflvm62qpoCksqoACaHXCay7QUlAN3ctSVTyoYAYY6hanW0XS87v8CmCsF64NuEZgpjKAJKsBa5fhWMNn9arVRdWFIJXVo4B2UwEqQAWoABWgAqkrQJBK3QU0gApQASpABagAFciqAgSprHqOdlMBKkAFqAAVoAKpK0CQSt0FNIAKUAEqQAWoABXIqgIEqax6jnZTASpABagAFaACqStAkErdBTSAClABKkAFqAAVyKoCBKmseo52UwEqQAWoABWgAqkrQJBK3QU0gApQASpABagAFciqAgSprHqOdlMBKkAFqAAVoAKpK0CQSt0FNIAKUAEqQAWoABXIqgIEqax6jnZTASpABagAFaACqStAkErdBTSAClABKkAFqAAVyKoCBKmseo52UwEqQAWoABWgAqkrQJBK3QU0gApQASpABagAFciqAgSprHqOdlMBKkAFqAAVoAKpK0CQSt0FNIAKUAEqQAWoABXIqgIEqax6jnZTASpABagAFaACqStAkErdBTSAClABKkAFqAAVyKoCBKmseo52UwEqQAWoABWgAqkrQJBK3QXJDRgzerTq3LGTmvbV1OSZMGXqCnTv2lX7cfGvv6Zuy9FowPH/OkbJx1t/2Y5vBiqQZQXWrVunrzO4Z/z1119ZropzthOknHNJdINuvvEmfQPo2K599ESM6ZwCJ59wovbjxE8+cc62o8GgQrBUaN/RoE0113Hv3r1q9uzZ+oPfpQrdu3ZT/7n5FrXwl4WlyrIk+cybOzf3wLBxw8aS5FkNmeABFsfB+vXrE1eHIJVYuvQTEqTS90EpLCBIlULF5HkUgqVC+5KXyJQuKPDic89rsPjvffeXzJydO3fmYOWF554rWb6lyIggFazixx9N0D6rf975avPmzcGRLFsJUhaBXN5dbpAaOWKEYmtX+Y8AglT5NS5UQiFYKrSvUJ7c57YC06dN0zfPU2ucpP7444+SGXvgwAFV75xzdd4D3nyzZPmWIiMXQOr55s0VwMW1cM+dd2qfPfvU04lMI0glks2NROUGqQvr1VNXNb7CjcpWsRUEqXSdWwiWCu1L12qWnlSBQ4cOqSsaXa5vnO3btk2aTWi6TX/+qbuKQiOktCNtkFqyeLHWHF2froWf58/XtuF8X7BgQWzzCFKxJXMnQTlBSg56glT5/U2QKr/GhUooBEuF9hXKk/vcVWDcO+/qm+bpJ5+iNm3a5K6hJbbMBKk/N1Z+jFS/Pn2dBSlIjS5enO+3NftPbOUJUrElq2yCtWvXqvfHj1dvjRqtPvzgA7Vhw4acAbfc1FQ73tb9tmPHDvXdt9+q8e+9p3AR+WzKFLVj+/ZcPt4fu3btUq+8+JLOu1HDhmrF77/nffbuCR6YuX3bdvX19Olq/LhxupwvPv9cYcxA0rB161Zd7prVqwtmgSdMsTHMNmSAAZYY0A0t337rLfXVl18qPD1GCbjgfvTBhzot6ve///0vSrJcHAw8hfaYaTlp4kQFjSWccmINrXWxg82h18cTJugy3h37jprx3Qx1+PBhKSb3ffDgwZxeUfyD40f0RdqgsGLFCn18QVvoZBtrIHnCZgkY8Dtt6jQ1euQorZV5rEsc2zf8P/vHH9UH77+voMEnH3+cd84EpS8ES4X2efPat2+f+vKLL9TbY8boD86zsOMR+kDT1avCj23zuN62bZu3uNx/7ENeq1atym0zf+zfv1/hJorrBzRB14rtnAryD64Zn06arM8d1HHWDz8o2Bg14Fj84fvvtW/hYxwnvy5aZM0Ds83gTxxbuBYWMygYtl59xRX6fMM1zhZwnuN8h734XvDzz7lzQc4J77UAPsW+QtdYlItWkHfGjtV5T/jwI4WHV8lTvlH3oAAtlyxZos93+BT62Gb9miAlAImuSJxzuDfg+Jg/b15Qcbr7EzaF2eNNBE0QX85vaCKtgC1efTWvnitXrvQmz/2HfVO//EqfT2PfflvNnDEz8JqWS2D8QJctrofwHa73qOeWLVuMGPk/v585Ux8XOOeXLl2av9PyjyBlESit3bgxPfn446rGccfnnAsH46b7yksv64uJ9OuGgRQu5KBrbx7IB9seeuAB34GFg652zZp5ZZo3E/zGDAcz4GAF1J147HG+dGhteeKxxxQuzHFD79df1/ld1qBBwaS4kYiNuLh7wy8LflHXX9skF0fiyneDiy7WcONNh/+44bz0/AvqlBpHYEfS4PvuO+7UF9agdLINN45bb7nFV/ZZtWqrXj17aqA689+19P6kIIUL6jNPPhVoI+o2dPAQhQuSBFyE0W2LOrR89TXZHPr92iuv6LgX1avvu4jhxvLg/Q+oE445Nq+OOE5hU9hNDxc2lN+mVWtdLpbwOPusOnl54MIWNfw0+yf10H//qzDmxfSR/G56w4364h2Un8TBtzcU2idxAUUd23dQdc8401c2/Ix9XrDETQF54/zYs2ePZJX3jZuGlP/Eo4/l7TP/YFwH4uE4MwMg5aknnlD/PvW0XD6SH74BFGHdGOKfV19+WR+juMYEaQufDR82zCzW9xuAifFCDS68KNAO6BY0i+y3pb8FXgNx7Xr4wQfV78uX+8qybcANUjSAvmEB1xG0xkvcQt+nnXRyXjb1zz1PpxsxfHjedvkDILvg/CPnX6F8sQ+9DmbA+dS6ZSt1Tp38c0XywXk95dMpZpLcbxOkABSjRowMtAPXStw7zCCtSbVOO13t3r3b3OX7bWqMh9XHH3k08N4gNuP65w2A/4EDBijRUuLiu+HFlyicP2Fhzk9z1DVXXhnqOzQO4IHHG/BQcF7ds3W6bl26eHcX/E+QKihPOjvRCiUOxYFzz113qa6dOyv05ze+rJF2NG6Qd9x6m/4dBlJ33X6H3o8THXl06tBRryOCm4ocmPhthmFDhuiLlzw9AKoAdOYHTxpmuKHJdTo/XLAfuPc+XQbKMuHl3rvvNpNE+l0KkAKQyg0AJyWehnCSQMvbmjVTaN6HFmix84a1a9bkTmSAAYAQaTEbBxcUpMM3QC0o4EItrU24YQIskB7wIv697+57FGaLIK8kIIWLo9gCkEXzNOqGMi6uf4HOF3k/+tDDeU/+r/foqffhRo+LVljATVBAD/4ww4+zZikcW8j/jJr/Vi+/8KKuH8o66fgT9PZLLrgwsPtEbtTQFK0cAmI3XnedBjN8B91czfLN321bt9bloVxAPTSA1jju5EECg4CDbgKwXz5mnvgt2/EdFPBkf3nDS3Pxbrr+eg2HAET8lvSII60AyAeALvu++frroKxV6xYtc3HgY/giKJx/9jk63pt9++XtBrygDBwXOEdhEzQBhMiDAfwWpLP4B+lwTiMfHLPwMa43OJbNBy48gAUFADyOcakrjrfHHn5EAf6aNb1ZHz/QxhvQOgPbkK7mKaeq5s88q21/+oknc+czYCKsFc6bn/zv+0YfnWet02vmPVzIfnzjuJbzFtcItNZ8+803uiVNegFgF3Tp07u3blkz08vNPwik0KomWgByJ0+apOB/POxcekmD3D7oDP95jw20+Et66IaHHPgU+og/4G+0ynqDCVLIH/nAHxgA3qFdO50HtJb8UW8J6AqUc9rcLvvNb9yrkMe5deoqtGA3f/oZff+Q60jjSy/Lu594WwbxoIdjROzAeYS1r2AjIEq2e4932IBWOVxrEQcPfq1ea6H1ademjV6SQu4Fc+fMMU3O/cZDM9LiPhsnEKTiqFWhuDh54UycGKBrb0ATpRwQiBcGUniix8056AKMLiakxQctGt4gEBNljBRmwOAJJuiGPLB//1w5AJM4QWwopkUKFwnU8fb/3BqoA2wOWtAUFwDczJEWGnhvNmhhEyAFLHi7OLBfYAknpbfuyH/IoME5bVBOXJDCU6WUAVu93TWwCRc9AYme3Xvk5EdTO8rE5/PPPstt9/7A063EM/MHFMhTMW7M3lYV3ODkhoKWIm+QGzUuqnVqn3GkdeTnn73RIv9H6wRuUkFdlTgPBNTQ1ecNUj98e0OhfYgrDzNoVfG21GI/zl/cUJAPWodxk5AgN4UunTrJptw34snsL2nJwXnmDcuXLcv5xwv08NGgAQNz3StmWrRWyTUED0/eIP6B3dAOXXnebl0s6ijnCOoSFFA30RBg4D1OcG3Cw44Z0O2NB0WkQyubt4sMN3WB16bX32Amtf4GWCPfQg92aGlGnEcefCjPX8gcGsh+PFwGBTnuvSAFqJRzpk/vN3xJ0Q0mDz/wW1DAcQEY9F5PEBf+lpZmXPe8wQQp1A8A5l0/C8MzUG/sx0OS2W0p27FGVliAffJgiJZYMzS5+hqdr22wuTwAAPa9xzzyf6NXL50PjkvUyQwCYIBcsxVe4sjwAfnv/Ub3JuqOD7SIGghSUZWqUDzcEMSRaAIOC/379cvFCwOpsLTYjguCPCEAdrxBICYKSHnTmv8xRkRaLQBvcYLYUAxISWtZ2BNzmD3y5Ienu7CnXtwAxFcYj2QGOSGRvtDYBUCI5BEXpHChRlo8XRcaTyRP4XjaNMfsCLCjBSksAIJQBkDUDHL84WZv5mnGAbQgLUDOOzbBvFEjD2/Xl5lPKX7jhgtb8OTuDdgunzj7Fi1cmEvnveCb+aCbSPJHF6QEPC1jO1puvUFueuiGkCd8dLN5A7pnkEfdM8/y3fS9cb3/5dgDGHiD6R+0eoQF1Fvq5n0gw01LuhWjdCFLGe+9O07nibRhY8PQZS7lAiajBrRSIB1aN4ICxkwKdKOMoIBuIeSBVisvGCJ+GEjJNQUtO2H1Qnc/8ka3a5IgkIEuV2+QYwr5e3sizLgAZIF/tFxLQOsY0uLjhV+JY44zQtesGaKAlHlfGjxwkJk877eMc/Mem3gwg322VrO8zIw/GKogdQxqxDCi5v0kSOXJkf4fPB3CkXhaDGpJEgtN4EoCUsgHN0eUhQu1NwjEFAtSyPe6a67V5QQ1xXrLNf+LDcWAlHQroDUgqMXMLM/8jS5AaHP/Pfeam32/5cnYe5NDsz3S44m9UMAgUcTDJy5IydgrdHcUCoAYuTmY4ycwcBfl4oYQ9PSFJ2RpJgcYmkG6rXp0625uzvuN1iHpDkCLhhnMG7VtjI2ZLulvjCtBXYMWXxT98e0Nhfah7tiPJ3BbkAs8uhwlYDIG0gO2vWMI0ZWBfRgPKTcwtD7iidwMAkPoaosbZNxLEMiZ/pnx3XehWQOWRCMMCjYD/su+sLFyZnz5jbGbuu4FBoOjtRXdUogHeIgSAPxyHqB+QcGEY7Mr1oxrXnvNVlqJEwZSMlsQDw5hAYPOUaegcUNhacztaF1Hepy33mCCVNDDsxlfuv7MYwPHHlrfkT9as4KCdI2Z6SReFJCScYFojQq6JkleaF2HHXiAMFtK0VqG7bjum9slne0b1yykx6dQQ4Y3H4KUV5GU/0vTs3fgaJBZMrg1CUgB0mQMFcYzeYNATLEghXKk+T+oOdtbrvlfbCgGpDC2QU4MjPsCSEQ5waRbBd1vhYJc9L2DQtFdhXKDtDXzQ2uX2BcHpHCRwQ0YaXGBtoVrr7xKxzVbZDBeSMZXeUEH+cl4DrR4mU/e5lN7oQG7yEOa+QEyZpAbNW5sUWdOmunj/AZAY3wQtMIF1htEf3x7Q6F98lQc1I3izUfKR9eNBBM0vYNfpdtvyuRPtfbSDWd2ZQAmpFUZUBwn4BzAgw3q1+Sqq31JxT8A4bAWR0kkxyFsNQMeLpA/xv5EDQAzacHGJJZCATdr5I/BzFECWkjEn2FwiPGfEiespQvjayROUEtqGEihPkiH8ynsGiQtjMgjbsDxIPAKn3iDCVJBY6jM+PKQhfPTbD2TYwbj8lCeGeA71A11xLXDG6KAFMYyIT0e1AoFafFHXHPYBYYpYBs+OK4x2N1rZ6F8sU8mvRR6SPTmQZDyKpLyf5ltEKUpXA7MMJDCEwSeZvH0gEGSeKJF9448lckBF3SzF4iJAlK4KOAExlM0ulDQLIxB3N5y0gApuBMXBRmIiTpDB4zd8A6aF9fjxivaRP02b0bom5d0tiZm+EjixgEpc2yM2V0kdfB+y8wu7xop8uSJ48MbpDsMrSJmMC/IYrvtG0+qZpAbddInbzMv+Q27cIyhqwo3IkCi3OTFvlKClDzIYEyHLUh9ASZmkMHLZksVushgL57K5eWyMuDbbD3GjDupV9i6QBgLhdYHpMdMMdzovJqYx67YJvai1ccWJD9MGjCDtAZjbE3UYA7Cl7rZvlG3KMFcdNEEUm9aGXcYNpZHbvZB5wzyCgMpTMeXupgtw1I+rgXSogLwDgvQCEMVMFED4+cwKF9ajiV/G0gFjbEyywNoSV7mddIcdO4dW4plXZAmrDVJ7ldhuqJ8zACWcqN+e4de4KFQupSRB/wBKPLGM+tr/pZxauY5ae4P+k2QClIlxW3SVRTFiTLYOQik0IctJyUOJpxoaJXA7D08weEpWsi7GJDCVFcZh4Ry0E2Erjy0rGHKNma4yVNzWiAFd6KZvnvXrrnB2bAVoIcWGu/aKGbzLlqWcCLaPubgVQyWRf742J6qYZt0f8UBKbMLAv36tiDvFfMOzgWEia3mmkZmS5l3hos5DgLQbNMG+70DT+VGHTSWw1YX7360CuCmIvWAX9GVBqDC+C/4GGONsL+UICUXa8y4sgV0E4h95hMyZn1hO85NCTLOxeyGxHpDiIfrgwSZyBE0ngbHsCxbIeWiZejO227Xg4kxk0paKQuBVBT/hIEUoB1lo5s7ajAfEFB2lGMrSosgyjcfAAqdM3g1FuxGvXDTh00AWnTpyXg1HGNekJA6wmak9w42x37Yin0AWpSDaw/yhj0YvK73nXa6ClpbCQ+sGJsIUEE8fFAWdMZYRnTvyuQHG0gVGlPp1QozKM0gA7q9gCyt8zgXg0IUkJKB/GiVjOJ7xAmCQtQP9zV0/YlW0AQPdGYLVpCdMtEBM4GjBoJUVKUqFE+6CzAQ1RYEYLwghaZ4mRKNiydm+aHZ1RukxSEpSGE2jUDSlZc3VmguDxqHJEs2lAuk8JQkJ0vQOlJmvXExwtOgdGsiHWDJHBiJ7kjJD2OY4gazRSpKl4u03MUBKXOchq2ZHvbjIos6eQeNYx+6TrHP9A9+YxsAxBswCFP08Q4w9sYN+19KkJIV/tFCBH8BIrxBWt5KCVJykY4y9k9myXrHrsjNHceAdKFIq7TZmokHATlOpIVA1pFDS7A3yM0OrXJovQgabyJjvMoFUnhow3FSaDKD125zNmlY95s3TdT/mNUox62tFReDvgUQJY18owWo0LlaCKRwbTahX/KUb4xBQstZUJBJI7ALvQxB7whEqyDysoFU0Ngus0xzgoR3YLkMl8CxLJNIcHxJqxgG1QeFKCAlq4ubDxFBeUXdhvsRfCUTa6ANHv7M2YjevGSNL+/Dnzee+Z8gZarhwG8ZI4UnR1uQadFekMITMg4YzJYqdMDgAop4SUFKZphg/EbQSS32C+GbN2rZV+hbnsxtY6TQfYF64GMDKbM8nPDSPeOdoi83ybBBlWY+Qb9ljBRawQoF3DzF9kIXZ28egDUZNxM0HsEbH6CLcoLeSC8z8MzWDmkZDRqUiqdosRnr4CQJpQIpmQkFe7yDnU270AKDOKUEqTgtLjJ5AeeCGdA6JQ8jWEJEurbQSilgJfEFGLFQIfwva/54gcNsrURLVljAeQ9NygVSONaQv+38Ne3DuD1ZwwktNqUMGPAOe/BBN1ShgIcFjJPEgyh0wlALDAfAQ2nQw6KZVyGQQjys6I4WF/QYYPYgHpoxOw4tv+jeCwqYjCDDE7C+WFiQweo2kPLOMvbmJ+MjcQ/xToSAjTLoXGZDywKz0MxscTXzjQJS0Bn+8Z4nZj5Jf2Nyh6xNFjY5A7bL8Rely15sIUiJEo58CwThIomLZVhA06VcFLwghVlc2Fdoxhie2mVQZxBICcQUGiMl4zaCpk+L3RhILOsYxQUpucEXmuWCcmSmI+ocB6SQFq9XQDqM6TKDdIuErY9jxg36Lc30YeMoJA1unuLHOCCF9HJj9TaxS97yDR9IGbiYeAOOJXn6xlINciOG38KawaU1tNCK295yzP+lAimZeYaWl0IBN0RoUEqQkm6eKN1fUn7QUy5abGAbxsVgfAd+o8XUG7C2EPbhmJIuWRy3aEE1g8wOQ9ygBUglrnT9lwukMPgcNuBT6EFL7JFvGScTZcKNpIn6LfCJLtWwgBZuQAsepsKO/7C02F4IpLDYJ1oWMfzBBmRmGWZrWtB6ZRJXJjXYQMo201HuIWHXL1nrSZZRkBnghR48ZfZ2oTFSADw5ZvCAXOqAGcLIH74NCmh4kPKDrpVBabCNIBWmTErbzTECeHIJC3JAwOlekJKBxZilFhZkHADSB4GUjL9Ai03YU5Jc8Lwz1swy5UaHcuKClAxeRFpv87KUAdtkrBjixQUpmS7svRGb44BsT69ii/kts14AI2a3oRkHv6XLDbbHBSkZN4OWqTB9UIZMFcaYnqAuXsQBYMAGXORk6n2hQbwC/Cg7SfdeqUBKYBt2eIFCtJYp1ahfKUFq2W/Lct1thcbCyfIFKN873gw2CjzhRiNdctDHG+Qijy4UGVsVVB9zPFbYFH5zBlu5QAoQJ62mYes2eeuI/9KqAuCIez4H5Wduk1aRQuO2cN0NO1bMvMJ+FwIpjH1F3ubiuGH5mNvl4QZpcTwFBTwcSwu7DaTwgBw2cxAPXrgeoqywbmscV9KVh4cveRCTbucg+7CSPfIsNKYNLUKyaGnU2ZhBZYVtwzUWNqB7LyjIGmGIU+ia6k1LkPIq4sB/6c/FUxFu6GYAOMDZ0poEh3tBSlpZsM970iE9LvpovpSDPwikzFkbQatBwyZZmRsXPO+YA5wQsAMgIeXEBSkM2pYLMW7qXgjAhUPWB0Jd8fFeeIcPHRr6Chc0WcvJ7V2lGDpJ1w1sQNO1uQSA+ARdMWgR8w7exPgxmf2DMWLeCwxu+lhwTuzGd1yQQoslLohIi6447xMcnngxnVrG1qArNiygiw754KYq3Xre6exmWnQ7ySrKqCe61bxN+vgPyArye6lAyhyvFTToG8cDnj7lGAwCD9MHZh3xu9A+7MeMRsQBpOIJFseNGfDqIenmRXe9dz/iSnceWkvQugV/hS0JIeMNZWZR0Bpc5jijoPFTuCljYUrRpFyxQBtzAAAI4UlEQVQghboJOEAjQK+3hQznAbrLzGMH44jkuMY1ENefoNYbnFN4ULMtz2D6Q7obC3UdCXgDFKAfxt3hmokPbMEUe7zGKywUAik553FMQA9Am+SN8x8PdvKiXzN/1F+GG+AY9vZWoMUPD7TiU3x7g4zHk2Mar2bxrhqP7k+57qEbrFBLIkAHecl4U2md8pYr/+UBDV3ZhdYVkyUgkDcmyXgnAyE/2I3WfO+Af+jrvQ5K+bhmyZIZ3lnEEkeGq+BcDANNiWt+E6RMNRz5jQNH1jHCwYQ1NXDQg+TlAooLjVwUvCCFWSByEwfI4EBHky8OHjnJ5f19yD8IpHBhk+4I5IExRJjFgK4ceS8dZkvJongY04HxXSgHdoL4kTeesOWdYUE3VJvkeJJFPvjgxAbwYH0aLEQoMInmZLlZeUFKur+gB9KgDx4f1EOeuvAd9LZvXNBwk5HyMdMGFzF0pUFT3PRkH1oSvQErI8sMG9wckRa2o9lcdMNvObnjghTKwwVJ1mqCLegOwbHy3LPP5o4BbMcAV/Nm5bUVNzSxCfHxZBt08zLTQTPxM9JgggMGiUJndBuJvgBRbygVSCFfWacMNuBcAVyja1aAEDP4ZMxHqUEKGsmNBOWjTFz8ca7JxBFsxxi1oDWHRBdZNwpxAfdhAS2GiCOfoOMOaWUGFeLBDozDwXEvM/VwHZCWl3KCFPSRQeewBTdRPBThGMFxL+NRvK2JmIklY0CRDscj0uHcQzeSjCvDvqDJBWH6yQMD0nkfbsw0cs1CvLAPoNb7oIs85BobNGsP0CfdYGH54lqBh2lvi4jc5JEOIIzzHHYiP4ATroeAUuwvBFKYQCJjkZAGmuK6hC5m8Qeu+d61zUx98Btj88w6FBqPh/jme/BwrcE5guMSx4cXhtEFLnlDD1zHYSeuL3Jfwn5vF61M1MD9E/WBPhifiPuQvFcVx07QrEjYKC2WcSZIIB1BCio4GPCUiqddaZGRgwo3cwxgxk1euue8IIXqYFaX2eUl6XFjx1MingylGTMIpJAHLmbmzUDyMLu6cHLIwSf78Y0TFICDViS5YCcBKdz80Z8vzb1mGYAjDHZEHPTlY58XpNBKYd7szfTQAjfWsJsRNMBFGuMBzBudmQdgAdDifbKTQwpPgegCxcXATAf4ge24gchA6CQghXIwcwaz0gQszXLgG7SmFYIosdVs3Ys69RfQj+PHhEqzfGgf1CpSSpBC/QEO8jQu5eM/wBvjXGQ5h1KDFLRD6wBaF6TFQMrHN/yMi33QrDnRHd+4oUi6oHffSVzzFRaYXRQW8DCF40q6XyRvfANIoAdafKFROUEK9uEYx3koYGvagt84RoOe/gGeGIRtPiiYaXEzxk3S2zoTpgm247ony1agNcsbcEPHdQs3XWiHmc1oSZQPHlSglxxriOO9foSBFMZewSeAFFw3kJfki29cw2QFfNQT544JGGjNxLVfHlBMLaChdBvjWgX7vEFapKAZ9IZPgs5bPBgEAaI3P9gjE4lw7YkCtJgxLd2Ppv1Brf1oEcf4W++1E+lQP+jn7QmBT4POQ6TBvRTXiTCIkmsE4sa9FhOkvEeHY/9xk8DqrLrZd+q0vBs2LlDY720uN6sAGMKUWKTHDCfzYMfJZEuPvLCOCOAJ+aBbIKh7Agcn9iMepseaNuFCh3KCThbT1kK/USYuFHiiRDnoejQvvrhxoIywiypabtAMjKZ52IgLhXmRKlS27Js/b55eOgFN8WhWBkSaNki8oG/ogy4BlI0nObO1B1rBdu9TeVA+hbYhPUASdRT7CsX37pPjKYkt0B2awjcoH8dsoSd+ADbK8c5M89oU5z9uvNAY5aOr0ds9hvLM4z9O3lHi4hhd+MtCfa5BBwwsjgKwyBvHIuzDJ+wYFhskXpS6oPsavhCfeLtJoH/QQ0Ac/+ChDjZFOX4xtR83U5xDGHaAdLYADXG+48aKeqALFWO8gq5DtrywX5bCAHB4/SPvlkSLWZAukj+uq9I7AAg2A6AZ9TKvLzjHZS0ztCoW0grAIy1DQW8tQFr0CphamOXjuAjqHpTrsGkXrl84TnFdxTWj0HhOswz5Ld2AGJcbNcAOdJ/KMVmomxR5Qms89OOYgZ04FrwzCb1lI40c97jm4rpYSHOkl9Ze9G54h5F48/f+J0h5FeF/KkAFqAAVqFoFAJPS0m+uEycDugExUQAPrWVovUA3nC3ITEp0S0UJeMcn8o4zSD9KvqWMY47Fw8NhlgPAU1r6kiy7QZDKsvdpOxWgAlSACsRWQFofMA5LWgBlkk7QIrRBBaBLG7BjvtUgKB62yZgkjImMEmQcVZz3vUXJt5RxsK4W6o+WuaStg6W0p5i8ZCkT+F6Ohzj5EaTiqMW4VIAKUAEqkHkFMD5Mxj3KmDR54S1mbBWaGIDKYzYbxqsCJIK637wCyRIkGAPl7U70xsUkFeSLD7qKXQwYqiALhAYNqnfR5jCbMDYKPse4K9tCpWF5EKTClOF2KkAFqAAVqFoFsA4YxjehZQljFtESISt2Y5YYxiqZYyDR6oKB5ZieL5NfMIDejBMmFroTZdwT1o7DZCAzoHy8hBrdhdLt6F2SxYxf6d8YS4cxrgBQjKWSFcIxSy5K/Sttb5zy0L2L4+DDDz6IkywvLkEqTw7+oQJUgApQgaNVAaxLJkvHoEUIs9Gw1ABmSMpsP2ktwuxHzMSLGnCjNmfWokUH3WKYlSjLpCBvtIxg2r45KDxqGeWKJ92YUnd8Y1Zh0LIx5bLB5XwJUi57h7ZRASpABahARRXArDcsz4HxTBgcjvXRsKQBfmN9ISxEjNajJAEtU3jVD9ZDAkQB2gBSWJMKy6ig3LDp+UnKK1UajB9D/WEv1kTD2C3vrNhSlZXFfAhSWfQabaYCVIAKUAEqQAWcUIAg5YQbaAQVoAJUgApQASqQRQUIUln0Gm2mAlSAClABKkAFnFCAIOWEG2gEFaACVIAKUAEqkEUFCFJZ9BptpgJUgApQASpABZxQgCDlhBtoBBWgAlSAClABKpBFBf4//QGonmZOOaEAAAAASUVORK5CYII=[/img][br]Ask students to use the graphs to find:[br][list][*]the values of A(0.8) and B(0.8)[/*][*]the solutions to A(x)=72 and B(x)=72[/*][/list][br]Next, display the two equations for all to see. (Hold off on discussing students’ responses.)[br]Ask students to use the equations to find the same four values as they have just found using the graphs.[br]A(x)=60[br]B(x)=10x+25[br][br]Invite students to compare and contrast the graphical and algebraic approaches for finding unknown inputs and outputs of linear functions. Discuss questions such as:[br]“How easy was it to use the graph of B to find an output value such as B(0.8)? What about using the graph to find an input value, such as the x in B(x)=72?” (Both were fairly straightforward, but may not have been very precise. Some estimation was necessary. It was very easy to see that there was no solution to A(x)=72.)[br]“How easy was it to use the rule B(x)=10x+25 to find an output value such as B(0.8)? What about finding an input value, such as the x in B(x)=72?” (Both were fairly simple, but if the rule or the given input or output involves numbers that are harder to compute by hand, it might be more complicated.)[br]If students did the optional activity on using graphing technology, ask students to identify some ways that technology could help to find unknown input and output values of a function.
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Information: A.4.5.3 Function Notation and Graphing Technology