2. Discuss with a partner:[br]a. How is the water in the tank changing? Be as specific as possible. [br]b. What does w(t) represent? Is w(t) the input or the output of this function?
1. See graph.[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAikAAAIiCAYAAAANVFjdAAAgAElEQVR4Aeydh3sU1dfHf//Jq9I7UmygUiyAgnRBUClKUcRGlV5C7yXUEGoIBAhdauiEJqh0pJdIaBICBghw3udc3GF3Z3Z32p25m3zneebZnVvOvfd7JuyHmTNn/kfYoAAUgAJQAApAASigoAL/U3BOmBIUgAJQAApAASgABQiQgpMACkABKAAFoAAUUFIBQIqSbsGkoAAUgAJQAApAAUAKzgEoAAWgABSAAlBASQUAKUq6BZOCAlAACkABKAAFACk4B6AAFIACUAAKQAElFQCkKOkWTAoKQAEoAAWgABQApOAcgAJQAApAASgABZRUAJCipFswKSgABaAAFIACUACQgnMACkABKAAFoAAUUFIBQIqSbsGkoAAUgAJQAApAAUAKzgEoAAWgABSAAlBASQUAKUq6BZOCAlAACkABKAAFACk4B6AAFIACUAAKQAElFQCkKOkWTAoKQAEoAAWgABQo8JCyLzOTvv/uO6r59jtUo/rb1PXbLrRn9+6ont+yeTN92rQZVXv9DdFn8MBBdOvWrah9UAkFoAAUgAJQAAq4q0CBhpSJ48dTkf97icqVKk2dOnSgzh07UqXyFUTZtKmJhkoy0HCf1ypXoe+++Za+aNVaHJcvXYaO/vmnYR8UQgEoAAWgABSAAu4rUGAhha+gMGw0a9yE7uXkaMrdvXuXWrf8jIq+9DJl7s3UyvnL2jVrRJ/2bdqG9Dl44ACVLVmKPqz9Hj158iSkDw6gABSAAlAACkABOQoUWEjp/vPPAjhOnjihU+7WzZsCOtp8/kVIHd/iKf5KEcrKygop54Mxo0YJe5s2btTVoQAKQAEoAAWgABRwX4ECCynV33yL3qhSNaJiP3b9nkoUKUp8ZYW3/Px8KlOiJDVp2NCwD9/q4SszwxOGGdajEApAASgABaAAFHBXgQILKVUqvkrv16oVUa2xo8cI6Dh08KBoc+L4cXHcs3t3wz4PHjwQ9Xy1Jdr25OlTynv4MOp+/Xo2Zf39d8Q9Ozubbt++jR0a4BzAOYBzAOdAXJ0DOUHhFdF+K83WFVhI4fgRjiN5mPfQUItuPz2/HbR923ZRv27tWgEhkQJquRE/7fNqufKG9gKF589foKHDRkbchySMoO49elP/gUOwQwOcAzgHcA7gHChQ58C4CZPFf8ADv4lOPwsspIwdPVpAR8rChTqN9u/bJ2718O2bjK1bRf2K5ctF+7lz5ujaBwpq16hJpYoXDxza+jx06BBNmTRZ3F7iW0zxuG/ekkGLU5fG5dwDeq//dSMtW54e12tYtXot8R5YUzx+pi1bQb9u2BTXa0hZvIS2bM2I6zXMW7CIduzcHddrmJ00l/Zm7o/rNUybPosOHvotrtcwaUoiHT123Nbvo1GnAgsp169fFzEpHAjbo1s3WrNqNa1MTye+gsJXWD779FMBJYGcKcvT0sTxvLlzjXQSZe/VrEUlixaLWG+mgnOufFy3rpmmyrbZmrGdlixdpuz8zExsw8bNtCJ9lZmmyrZZs3Y98R7P2/IVK2njpi3xvARKXZJGGf9dkY3XhSxYmEK7du+N1+mLeSfNmUf7Dzy/fR+vC5k+YzYdPvJ7vE5fzHvy1GmAFLMevHTpEnGAbOniJQSA8JWTls0/pd8O/UZ9ev8iyv4685cwxxDD9bNnzoponpPBcb4Uu9vTp0/pzaqviXEunD9v14zv/QApvrtATACQooYfAClq+AGQooYfACk2/MBxKTeyb9C///6r9a5fr55I2BYo4ABahhS+0mG0cX4UvorCt3zsbpxvhcfgPWHIELtmfO8HSPHdBWICgBQ1/ABIUcMPgBQ1/ABIccEPfCuIQaFrly6atby8PBGnwhlmjbbz586JPj99/4NRtamyQf0HaJBS94MPTfVRsREgRQ2vAFLU8AMgRQ0/AFLU8AMgxQU/TJ44UcACx6EEb598XF+kzX/4UP9E0NLUJaLP3OTk4C6mv/OVGM7bEriSwp/nzp413V+lhoAUNbwBSFHDD4AUNfwASFHDD4AUh37gp3k4iVvbL7+kZ8+ehVjjJ3sYHmbOmBFSzldZOGi2VLHidPXKlZA6sweBNP3BkDJl0iSz3ZVqB0hRwx2AFDX8AEhRww+AFDX8AEix4Idf16+nXTt30t49e2n5smUiaJYh4Z1q1eiff/7RWXr8+DE1rN9AgArf1uH+qYsXizchcz9+YaHdrX/fviFXUdhevN7yAaTYPQvc7QdIcVdPu9YAKXaVc7cfIMVdPe1aA6RYUK7xJw1DwICfzuGnd3LuvnjhYLg5zvTKsSMcJBu46sFJ3BYtWEj8dI6djW/1VK1UWbMXsMufgaeL7Nj1qw8gxS/lQ8cFpITq4dcRIMUv5UPHBaSE6uHXESDFgvIMHH/8/jv9fuQInf3rrCXIuHnjhujL6fKNYlQsTENcyQkGk+DvkyZMsGJKibaAFCXcIHKkMKjE84Y8KWp4D3lS1PAD8qTo/VBgk7npl+pfSd9fnudkCYaTwPc6773v38RsjgxIsSmcy91wJcVlQW2aw5UUm8K53A1XUlwW1KY5XEmxKZxf3ThVedVXKxne6gmAyunTp/2anq1xASm2ZHO9EyDFdUltGQSk2JLN9U6AFNcltWUQkGJLNv86cdr9AIxE+pwwzn5Arh8rA6T4obp+TECKXhM/SgApfqiuHxOQotfEjxJAih+qOxjzm46dDCGFH2cOhpbwx6EdDCm9KyBFusSmBgCkmJJJeiNAinSJTQ0ASDElk/RGgBTpErs3AD/SHAwiM6ZN145nJE7TvnOb06dOuTewZEuAFMkCmzQPSDEplORmgBTJAps0D0gxKZTkZoAUyQK7aX7njh0aiAwaMFC8OygALdu2ZoQ89TNuzFg3h5ZqC5AiVV7TxgEppqWS2hCQIlVe08YBKaalktoQkCJVXneN9+reQ0DKgnnzhWF+wWEwpHDhoUOHxJuVOaNtvNzyAaS4e57YtQZIsaucu/0AKe7qadcaIMWucu72A6S4q6c0a3yrp3KFirR40SJtDCNI4crDvx2mCmXK0skTJ7S2Kn8BpKjhHUCKGn4ApKjhB0CKGn4ApKjhh5iz4Fs9S1JTQ9pFghRuxAnnwt8ZFNJZoQNAihrOAKSo4QdAihp+AKSo4QdAihp+iDkLznYbvkWDFG5r1CfchgrHgBQVvEDIOKuGGwiQooYjAClq+AGQooYfbM0iFqTYMupDJ0CKD6IbDIkrKQai+FAESPFBdIMhASkGovhQBEjxQXS3hgSkuKWkczsbNm6mFemrnBvy0QIgxUfxg4YGpASJ4eNXQIqP4gcNDUgJEiPevgJS1PEYIEUNX+AFg2r4AS8YVMMPeMGg3g94waBeE2klgBRp0lo2DEixLJmUDoAUKbJaNgpIsSyZlA6AFL2sgBS9JtJKACnSpLVsGJBiWTIpHQApUmS1bBSQYlkyKR0AKXpZASl6TaSVAFKkSWvZMCDFsmRSOgBSpMhq2SggxbJkUjoAUvSyAlL0mkgrAaRIk9ayYUCKZcmkdACkSJHVslFAimXJpHQApOhlBaToNZFWAkiRJq1lw4AUy5JJ6QBIkSKrZaOAFMuSSekASNHLCkjRayKtBJAiTVrLhgEpliWT0gGQIkVWy0YBKZYlk9IBkKKXFZCi10RaCSBFmrSWDQNSLEsmpQMgRYqslo0CUixLJqUDIEUvq+uQcufOHTpz5gydOH6cTp86RVlZWXHzdl+9PO6WAFLc1dOJNUCKE/Xc6wtIcU9LJ5YAKU7Uc68vIEWvpSNIefLkCe3etYsGDRhIzRo3EW/9LfJ/L1H4XrZkKfrko4+pR7du9Ov69ZSXl6efSSEoAaSo42RAihq+AKSo4QdAihp+AKTo/WALUh48eEATx4+n1ypX0QFJOKAYHVcoU1aATby8UE8vm70SQIo93WT0AqTIUNW6TUCKdc1k9ACkyFDVuk1Ail4zy5CSungxvV7lBZyUK1WaOn71NU2bmkgb1v9Kp0+fJr7lc+/ePfrnn3/owvnztGXzZpo5fTp16fwNVShbTgObiuXK0awZM4mvyBSGDZCijpcBKWr4ApCihh8AKWr4AZCi94MlSGHICFwZadGsuYCSh3kP9VajlDx+/FhAS9svvtBsfdGqdaGIWwGkRDkxPK4CpHgseIThACkRhPG4GJDiseARhgOk6IWxBCmli5egxp80FHEoelPWS3479Bu1bvmZgJVHjx5ZNxBnPQAp6jgMkKKGLwApavgBkKKGHwApej9YgpSF8xdIueKxbGka5efn62dXwEoAKeo4FJCihi8AKWr4AZCihh8AKXo/WIIUfXeUWFEAkGJFLbltASly9TVrHZBiVim57QApcvU1ax2QolfKE0jh4Nmzf50tNAGyepmflwBSIinjfTkgxXvNjUYEpBip4n0ZIMV7zY1GBKToVXEMKb/07EXz5s4lDogN3zihW5333tcCZGu9W4M2b9oU3qzQHANS1HE1IEUNXwBS1PADIEUNPwBS9H5wBCn8iDE/7fNm1dd0V0k4lwqXc32p4sWpaqXK4nuJIkXp2NFj+pkUghJAijpOBqSo4QtAihp+AKSo4QdAit4PjiBlx/btAjw4k2z4NmnCBFFX5/0PRL4Urk+aNVuU/dj1+/DmheIYkKKOmwEpavgCkKKGHwApavgBkKL3gyNI4QRtfKWEE7wFb3zrp0rFV0Xd0T//1KqePn1K71arTm9UqaqVyf6yft066tShA7312uviag6n5x83ZizdunXLcOhnz57R2jVrRBr/yhUqirn26dWbrl+/btjeSiEgxYpactsCUuTqa9Y6IMWsUnLbAVLk6mvWOiBFr5QjSJkwbrwAkW1bM0Isc+ZZhpeWzT8NKeeD9m3aijrOSit743cK8Tyqv/kW9evTh4YnDBNz4jKGlmvXroVMgQGFgYbrq73+BnX/+WeRTbfoSy8T54g5cvhwSHurB4AUq4rJaw9IkaetFcuAFCtqyWsLSJGnrRXLgBS9Wo4ghVPh8w86Q0nw1q5NG1G+ZtXq4GLxPZC1Njs7W1fnZgG/iZnn1rRRIwrPirtowUJRN6Bvv5AhV6ani3IGFY6pCWx//vEHlS9dhmrXqOkonwsgJaCo/5+AFP99wDMApKjhB0CKGn4ApOj94AhSdu3cKX7UR40YoVk+evSoKOPbPUZZZD//rJWo56BbmRsnnmNISV+xQjcM33bilxzyk0fBW7NGjalk0WJkBFCBq0Ybf90Q3MXSd0CKJbmkNgakSJXXtHFAimmppDYEpEiV17RxQIpeKkeQkpeXR/yCwTIlSlLakqW0dcsW4seMGQ6mTJqkG41vp1QqX4GqvlpJV+d2wfK0NDGP8HgZHodfaFiqWHFq1riJNixnvOVbOnzlxWjjJ5J4XcOGDjWqNlUGSDElkyeNACmeyBxzEEBKTIk8aQBI8UTmmIMAUvQSOYIUNrdg3nzx480/4IG97gcf6m6xcFuO6eA2/HJB2duN7BtUtmQpcYvm9u3bIcONHztOzGPxokVaeQBCenXvoZUFfwkABl9tibYx7NzLzTXcs2/cEOMWLfEKzUuZR+fPXzDcL1++QtevZyu7r1qzjubNX6js/Mxot3zFKlqUkhrXa1iydDnxbma9qrZZuCiVVqSvius1zJ23gFavWRfXa5idlEzrN2yK6zVMmz6LNm/JiOs1TJ4yjbbt2BnXa5gwaQodPXY82s+kpTrHkMKjbdm8mfhNxo0afEIcrHr37l3DScyeOUtcqXByy8TQcITC5cuWCSjgJ4r4O2e+ZQhhUOIndoI3fqKHyznOJtLGwbQVy5WLVC3KL1y8SCNHjzPcE4aNFGO8PbMWfTy9MfUbOJj6DxxiuA8YOIRU3QNzVnV+ZuaFNahxfsEP8IOZv1czbXAuqXEuDUkYoR6kRP3V9rly7549AiwCV3mKvfwKrUpfqZtVAGjmzpmjqwsUcOAs3yayuwWuxtRaVZd4n3/qxZUcuzb96Lc1YzstWbrMj6FdGxO3e1yT0pEh3O5xJJ9rnXG7xzUpHRnC7R69fI6upJw7e5Yytm51JYeIfmrOS3h+fHuGAeXrdu3FlR7+ztlvl6YuCRkgEMPCKf4jbe/VrCUCayPVxyoPQMobQ6sLSGFQ2fv3vljdlKsHpKjhkjVr1xPv8bwBUtTwHiBFDT8AUvR+cAQpUydPEQDAydFU227euEHvVKsmgCQ4v8nvR47QB7Vri3nPmZ2kTZsfl2aAmTVjplYW/oVvG/GjyHa3AKRwTEqz1Z8JUPl4XWO6nHvFrklf+gFSfJFdNyggRSeJLwWpS9IoY9t2X8Z2a1BAiltKOrMDSNHr5whSAqnvOdZEta3bjz8J6Dh06JBuavfu3aOab79D/B6hQFK53w79JtoP6j9A154LOCCW279fq5ZhvZnCAKQwDKVtTqOP1jYWoPLl1q/p/uMXeVnM2PKzDSDFT/VfjA1IeaGFn98AKX6q/2LspDnzaP+Bgy8K4vAbIEXvNEeQwgGz/INr9O4e/VDelrxWuYpIwR9p1OmJoYnoOOEb50jhPC5G29m/zoq1MvzY3YIhhbP07vk7U7vt03f/IHr67Kld0572A6R4KnfEwQApEaXxtAKQ4qncEQcDpESUxtOKyVOnqRM4y8naAnEaVy6rdcuCk8nx1ZJIWyBbbvCTRvx0Ej+9w/lfwrfFKSkCUubPmxdeZfo4HFK449yTCzRQWXA6xbQtPxsCUvxU/8XYgJQXWvj5DZDip/ovxgakvNDCz29KQQoLwenn+UV8DASnTp70U5uQsbt+20VABWfFDd8YFvhJHc6jknM3R6sOZKkNT0R3//59sb5SxYtTVlaW1t7qFyNI4asnffYN1EAl8/p+q2Y9bw9I8VxywwEBKYayeF4ISPFccsMBASmGsnheqBSkcJzGpUuXiK9GcBZZvvXTvElTkW02OSmJIu38uK/sjZOzcSZcziI7dPBgkctlz+7dYk6cDp/nGg4jvJ7A00CdO3YUKfXnJieLlw1y+2g5VMysxwhSuF/u4/v0xZavBKjUX9eEruReNWPOtzaAFN+kDxkYkBIih28HgBTfpA8ZGJASIodvB0pBSubeTPFjzz/gVnZOne/FdvzYceKXHTKoBM+vfr16ukeQA/PhKysjhg0nvmoS6MNXifgRZU7r72SLBCls89K9y1ogbZutHZQOpAWkODkL3OsLSHFPSyeWAClO1HOvLyDFPS2dWFIKUvj2Tvs2bS3v4dlenQhipi8HxfJtqZMnThi+PNDIBsPK6VOnRJZavsLixhYNUth+cCBtv/2DlQ2kBaS4cTY4twFIca6hGxYAKW6o6NwGIMW5hm5YUApS3FhQYbIRC1JYi+BAWlUz0gJS1DhrASlq+AGQooYfAClq+AGQooYfbM3CDKSEB9LuUTAjLSDFlvtd7wRIcV1SWwYBKbZkc70TIMV1SW0ZBKTYkk2NTmYghWfKid0CgbQqZqQFpKhxPgFS1PADIEUNPwBS1PCD0pDC6ec5RX7/vn3FW4adPK6rhtzuzsIspPCoKgfSAlLcPS/sWgOk2FXO3X6AFHf1tGsNkGJXOXf7KQkpu3ftEtldA0/DBD756ZrgjQGG68Jf7hfcpiB/twIprIOqgbSAFDXOUkCKGn4ApKjhB0CKGn5QDlI2b9pExV8pIuCjVLHi1KJZc6pR/W1xHA4pR48eFeWRUs+rIbG8WViFFJ5JcCCtKhlpASnyzhErlgEpVtSS1xaQIk9bK5YBKVbUktdWKUjhvCEBIJkwbjzxjzBvCUOGGEIKP8rL+UfKlSotTyGFLduBlOeBtAO0jLR7FQikBaSocZIBUtTwAyBFDT8AUtTwg1KQsn3bdgEjnb7+OkSdSJDCjTiRGt/y+eeff0L6FIYDO5DCugRnpFUhkBaQosbZCkhRww+AFDX8AEhRww9KQUrilKkCONasXh2iTjRI4bT5DCnZ2dkhfQrDgV1IYW3CA2kf5D/wTTJAim/ShwwMSAmRw7cDQIpv0ocMDEgJkcO3A6Ughd99w8CxZfPmEEGiQcoHtWuLPvdyXrzYL6RzAT5wAiksS3AgbX8fM9ICUtQ4SQEpavgBkKKGHwApavhBKUhJW7JUAAe/6yZ4iwQpnGaeoebdatUdvwcneLx4+e4UUnidoYG0i31ZOiDFF9l1gwJSdJL4UgBI8UV23aCAFJ0kvhQoBSn379+nCmXLUaXyFejixYuaIEaQwkGzX7VtJyBl8sSJWtvC9MUNSAkPpM28vt9zCQEpnktuOCAgxVAWzwsBKZ5LbjggIMVQFs8LlYIUXv3okSMFeFR9tRLNmjGTbt64EfJ0D/8wr1u7lpo1aizaVShTlgprkjc3IIU1Dw6krb+uCV3JverpiQhI8VTuiIMBUiJK42kFIMVTuSMOBkiJKI2nFcpBypMnT6hHt24CQPhWDu+BvCmVK1SkEkWKanV81WVfZqangqk0mFuQwmu6eO8SfbS2sXg0ue3WDuRlIC0gRY2zCpCihh8AKWr4AZCihh+Ug5SALPyET9svvqCSRYtpUBKAFr7K0q9PH7pw/nygeaH8dBNSWMDdWXu1/CleBtICUtQ4fQEpavgBkKKGHwApavhBWUgJyJObm0t7du+mjRs2EmejPXToEPHVFmwkkt0FwG3b1gxXJEk+OV8DlYWnvQmkBaS44jrHRgApjiV0xQAgxRUZHRsBpDiW0BUDykOKK6ssoEbcvpLCMnEg7S/7XmSk3Xf9gHT1ACnSJTY1ACDFlEzSGwFSpEtsagBAiimZpDdSClKuXrlCE8ePpz//+MP0wjl9Pu+FcZMBKayj14G0gBQ1zl5Aihp+AKSo4QdAihp+UApSMvdmiviThfMXmFanXZs2VOzlV+jRo0em+xSUhrIghfW5cO8S1VvbyJNAWkCKGmckIEUNPwBS1PADIEUNP8Q9pHzbqbMAG6TFdycmJfi03JW1R4tPkRlIC0gJVt2/74AU/7QPHhmQEqyGf98BKf5pHzxyXEMKp8Lnx5I5eJQDbAvbJvNKSkDLOUGBtAtOpwSKXf0EpLgqp21jgBTb0rnaEZDiqpy2jQFSbEvnakffIeWP33+nlIULxR7ILPtD165aWaAu+HPRgoU0dfIUqlH9bQEoLZo1d1WUeDHmBaR4EUgLSFHjjAOkqOEHQIoafgCkqOEH3yFl2tREARqBR2mtflYsV46OHD6shpoez8ILSOElyQ6kBaR4fOJEGA6QEkEYj4sBKR4LHmE4QEoEYTwu9h1SeL38np7kpCSq92EdASzv16pFrVt+FnH//LNW4r09fDXlyuUrHkumznBeQQqvWGYgLSBFjXMKkKKGHwApavgBkKKGH5SAlIAUgbcaW3m6J9C3MH56CSmsr6xAWkCKGmcvIEUNPwBS1PADIEUNPygFKSxJ319+oU0bN6qhjuKz8BpSWI7QQFp3MtICUtQ40QApavgBkKKGHwApavhBOUhRQ5b4mIUfkBIeSJt5fb9jsQApjiV0xQAgxRUZHRsBpDiW0BUDgBRXZHRsBJDiWEL/DPgBKbza4EDaj9c1psu5zuKCACn+nUPBIwNSgtXw7zsgxT/tg0cGpASr4d933yDl8uXL1ObzL+ibjp0o526OUIDfaty/b1/L+6QJE/xT0MeR/YIUXvKle5fpo7WNRbK3L7d+TfcfP7CtBCDFtnSudgSkuCqnbWOAFNvSudoRkOKqnLaN+QYpM6ZN0x49/nX9erGAQFp8q48h13q3hm0B4rmjn5DCuu35e5+Wkbbf/sHi5YR29ASk2FHN/T6AFPc1tWMRkGJHNff7AFLc19SORd8gJSsrS1xF6fbTz1q2WH4UeejgwZZ3zrVSGDe/IYU1n3tqoQYqdjPSAlLUOHsBKWr4AZCihh8AKWr4wTdIUWP58T0LFSCFA2n77BuggYqdQFpAihrnISBFDT8AUtTwAyBFDT8AUkz44cGDBxETy4UnnduxfXuIxSdPntCypWn0Ye33qEyJksQZcn/+4UfimBynmwqQwmtwGkgLSHF6JrjTH5Dijo5OrQBSnCroTn9Aijs6OrUCSDGhIL+88LXKVaLuZUuWEjE2K9PTNYvPnj2jtl9+Kcr5PUP9+vShrl26UPFXilDJosXowH5nj++qAim84OBA2jZbO1gKpAWkaKeMr18AKb7Krw0OSNGk8PULIMVX+bXBASmaFM6+NGrwCZUrVVp7Uomt8RUUDgJmMHmY91Ab4NTJk+KKCoPLo0ePtHKrX1SCFJ77nr8ztds+VgJpASlWPS+nPSBFjq5WrQJSrCompz0gRY6uVq36AilWn94x097qwt1svy8zU8DI4IGDQsw2adiQShUrTrdu3gwp54MpkyaJPuvXrdPVmS1QDVJ43nNPLtBAZf6pRaaWAkgxJZP0RoAU6RKbGgCQYkom6Y0AKdIlNjUAIMWUTNEb8S2dYi+/EvKyw8ePHwtAada4iWHn48eOC0jhp5nsbipCip1AWkCK3TPA3X6AFHf1tGsNkGJXOXf7AVLc1dOuNUCKXeX+68e3bvhKz3fffBti6eiff4ry3j16hpQHDvLy8qjoSy8TX22JtjHs3Llzx3DPunZNjMHjz5s3j46fPGm4nz13jq5cverZfvrSGfpsQxtxRYUTvh08eyjq2Okr11DyvAVR23g5fztjpS1LpwWLFsf1GhanphHvdtavSp8FC1No2fL0uF5D8tz5tHLVmrhew6zZc2jtul/jeg2J02bSxk2b43oNkyYn0taMbXG9hvETJ9PRY8ej/UxaqvufpdYFoPFP3/8gQOH3I0dCVrN2zRpRzknrIm3V33hTxKZEqufyi5cu0bjxkwz3kaPGapDSvn0H6j9wiOE+cHACDUkY4enea3R/en/FxwJUPl7ShAYMHxpxfJ7fgEGR672eu53xeA0DBxeENXh/rtjRO1KfgYOGkh/ne6T52CnnvwWswdt/r4z8xH4YNLhI3TsAACAASURBVGRYxH+3jPqoVlYQ1sCaAlKiUUKUumtXr4ondZo3aaprtXzZMgEQc5OTdXWBgto1aopbQoFjq58q3u4JXsPurL1afEr/KBlpcbsnWDX/vuN2j3/aB4+M2z3Bavj3Hbd7/NM+eGRfbvcEJrBi+fLAV1c/ORg1Pz/fVZtGxjhQlm+1bNywUVe9PO35kz3RIOW9mrXEo8i6ziYLVIcUXkbyyfkaqETKSAtIMelwyc0AKZIFNmkekGJSKMnNACmSBTZp3ldIKV28hEiSdvi3wyanG73ZiePHqUP7rwQ4OHm0N/ooz2v/+ecf4two/N6gp0+f6rqsWb1azGPmjBm6ukDBu9WqU/nSZQKHlj/jAVLMBNICUiy7XkoHQIoUWS0bBaRYlkxKB0CKFFktG/UVUtq3aSt+yPlqRLs2bWjnjh3EGVqtbAwIe/fspW87ddZs8e0XI3CwYjdW28kTJ4rxFs5fYNiUwYvXNaBvP8N6DogtUaSoyERr2MBEYTxACi8jOCNt/XVN6Eru1ZDVAVJC5PDtAJDim/QhAwNSQuTw7QCQ4pv0IQP7CikMEslJSVSpfAUNMKpUfJV+7Po98W0ShparV67Qw4cPibO38tWRG9k3BJQsmDefenTrJrLAMgzwzlc2Jk2YQAwAMjd+Mqfqq5WocoWKxN+NNp4zZ5Vt1aKlUTX9deYvMefuP/9sWG+mMF4ghddy8d4l4id9aq2qS223dqAH+Q+0JQJSNCl8/QJI8VV+bXBAiiaFr18AKb7Krw3uK6QEZpFzN4dGDBtOr5Yrr8FKADzMfJYqXpx6du9O169fD5iU+smAxPMaO3pM1HH48eIKZcoSv/snfOMrMGwj0pWY8PZGx/EEKTz/kEDaA0MEeHI5IMXIu96XAVK819xoRECKkSrelwFSvNfcaEQlICUwMb76sHnTJurVvQd9XLcuccyKEaTwu2846LRL52+IA1Tv5eQETEj/5NtRnM6eM8nevHEj6niLU1IMYYah7J1q1cQLB7Ozs6PaiFYZb5DCawkNpF0slgdIieZl7+oAKd5pHW0kQEo0dbyrA6R4p3W0kZSClPCJ8i2eK5ev0B+//06HDh0izkVy7uxZ6bdzwucRfBwIiOUrN7E2BpqWzT8VoMJZaRlaOG/K61WqiLLZM2fFMhG1Ph4hJTyQdt/1A7iSEtXL3lUCUrzTOtpIgJRo6nhXB0jxTutoIykNKdEm7lfdZ59+Km7hnDlzxtQU7t+/TxPGjRdP8QSuCn1QuzZxsjenWzxCCq85PJA2bcsKWrJ0mVM5fO2/YeNmWpG+ytc5OB0ckOJUQXf6A1Lc0dGpFUCKUwXd6Q9IcUfHmFYYKC5dukRZWVmuPXkUr5DCYnEgbb21jUQgbfM1rWnB0pSYGqrcAJCihneWr1hJGzdtUWMyNmcBSLEpnMvdACkuC2rTHCDFpnAqdItnSGH9dmXt0RK9tV/RSQukVUFbq3MApFhVTE57QIocXa1a5Xco7dq912o3pdoDUtRwByBFDT/YmkW8Qwovek5QRtqFp58H0toSw+dOgBSfHfDf8IAUNfwASFHDD9NnzKbDR35XYzI2ZwFIsSmcCt0KAqRwIG2HtV20KyocSBuPGyBFDa8BUtTwAyBFDT8AUvR+KHRvQdZL4F1JQYAUVmvd1o3UKP1TASpGGWm9U9T+SIAU+9q52ROQ4qaa9m0BUuxr52ZPQIpeTUCKXhNpJQUFUjhPyvS02VogbXhGWmkCumgYkOKimA5MAVIciOdiV0CKi2I6MAVI0YvnCFLsvm/n6NGj+pkUgpKCBCn8CPLOoEDaAQeGxlUgLSBFjT84QIoafgCkqOEHQIreD44gZf++fTR3zhy91QglnCxt1IgRIvtshCYFurigQQo7K+nEPC0+JZ4CaQEpavypAVLU8AMgRQ0/AFL0fnAEKZl7M0Um1imTJusth5VwOvlANtda79YIqy0chwURUjiQtndmfw1U4iWQFpCixt8cIEUNPwBS1PADIEXvB0eQwinwA29E5iskkbbdu3ZR1UqVBdDwSwn5fT+FcSuIkMJ+zH2cS59vaR9XgbSAFDX+AgEpavgBkKKGHwApej84ghQ2d/rUKe3dNgP79Q+JS+CYlfFjx1HRl14WgMJvGb529ap+FoWkpKBCCrvvQlBG2ngIpAWkqPFHB0hRww+AFDX8AEjR+8ExpLDJCxcu0NtvVRMg0qNbN+LYE37jcOuWn4kyfgfO8KEJvr5oUL9070sKMqSwmsEZafsfGEJ8K0jVDZCihmcAKWr4AZCihh8AKXo/uAIpbJbfcfNezVoCSvgNwm9UqSq+V65QkbZuie93c+hls1dS0CGFVYmXjLSAFHvnsNu9ACluK2rPHiDFnm5u9wKk6BV1DVLY9K2bN+njunW1qyfNGjWma9eu6UctpCWFAVL46skv+wYoH0gLSFHjjxCQooYfAClq+AGQoveDq5DC5u/du0eff9ZKgEqfXr31IxbiksIAKeze0EDapnQ1Vz1QBaSo8YcISFHDD4AUNfwASNH7wRSk5NzNoeXLlpnaVyxfTqtXrqJPPvpYgMqQQYN0/TZu2KifSSEoKSyQwq4MCaTN6EgP8h8o5WFAihruAKSo4QdAihp+AKTo/WAKUvgJHg5+dWtHnpSXaNvWDL034qSE0+JzxtlYW3AgrWoZaQEpsbznTT0gxRudY40CSImlkDf1gBS9zqYghfOhtGrRwrW9248/6WdSCEoK05WUgDtVDaQFpAQ85O8nIMVf/QOjA1ICSvj7CUjR628KUvTdUGJHgcIIKaoG0gJS7JzB7vcBpLivqR2LgBQ7qrnfB5Ci1xSQotdEWklhhBQWU8VAWkCKtNPckmFAiiW5pDUGpEiT1pJhQIpeLkCKXhNpJYUVUlhQ1QJpASnSTnNLhgEpluSS1hiQIk1aS4YBKXq5ACl6TaSVFGZIYVF3Zu3R8qf03z/Y14y0gBRpp7klw4AUS3JJawxIkSatJcOAFL1crkDK+XPnaNKECfRp02ZU78M6VOe996Pu7du01c+kEJQUdkhhFyefnK+ByoLTKb55HZDim/QhAwNSQuTw7QCQ4pv0IQMDUkLkEAeOIYVT3pcsWszS48l4BLlwPIKsP91IXD0Jzki79+99Rs2klwFSpEtsagBAiimZpDcCpEiX2NQAgBS9TI4g5fHjx1SpfAUBKHz1ZHpiIm38dQNt2rgx6r5n9279TApBCa6kPHdy7uP79MWWr8QVlY/XNabLuVc89z4gxXPJDQcEpBjK4nkhIMVzyQ0HBKToZXEEKTt37BCAwrd4HuY91FtHSYgCgJQXcly8d4nqrW0kQKXt1g6eZ6QFpLzwhZ/fACl+qv9ibEDKCy38/AZI0avvCFISp0wVkJKclKS3jBKdAoCUUEmCM9L2PzCEnj17FtpA4hEgRaK4FkwDUiyIJbEpIEWiuBZMA1L0YjmClMkTJwpIKazv4tHLGb0EkKLXJzgj7YLTi/UNJJUAUiQJa9EsIMWiYJKaA1IkCWvRLCBFL5gjSFk4f4GAlOVpaXrLKNEpAEjRSaILpM28vl/fSEIJIEWCqDZMAlJsiCahCyBFgqg2TAJS9KI5gpRrV69S0Zdepk4dOugto0SnACBFJ4koCA6krb+uiSeBtIAUY194XQpI8Vpx4/EAKca6eF0KSNEr7ghS2NwvPXtRiSJFae+ePXrrKAlRAJASIkfIAQfSfrS2sWeBtICUEPl9OwCk+CZ9yMCAlBA5fDsApOildwwp/MPbrk0bKv5KEerapQstSU2lP37/nU6dPBlx5+RvhXEDpET3ekhGWsmBtICU6L7wqhaQ4pXS0ccBpETXx6taQIpeaUeQcvTPP6lqpcoiLqXI/71k+jNekrm5/bQJIEV/AoaXJJ2Yp2WkXSgxkBaQEq68P8eAFH90Dx8VkBKuiD/HgBS97o4g5cD+/VS6eAnLO+dV8XLLzc2lucnJVOf9D6hcqdJU7OVXRBK606dP66bBCeoWLVhI71arLuJtShUvTt926kxuXP0BpOjk1hU8ffaUgjPS7rt+QNfGjQJAihsqOrcBSHGuoRsWACluqOjcBiBFr6EjSNGbU69ky+bNVKFMWXGVp1GDT2jMqFHEj04P6j+ALpw/HzLhp0+fUuuWn4m279eqRQlDhlCPbt1E2n++neU07gaQEiJ3xIPwQNoruVcjtrVbAUixq5y7/QAp7upp1xogxa5y7vYDpOj1LNCQcvLECeIrIdXffIv+/OMP/erDShanpAhA6fbjT8RXVALbubNnxZWXt9+qRg8f2s+sC0gJKBr784LkjLSAlNg+8KIFIMULlWOPAUiJrZEXLQApepULNKQ0a9SYShUrLgJ49UvXl/CVFoaa27dv6yqnTU0UALNm9WpdndkCQIpZpZ63k5mRFpBizReyWgNSZClrzS4gxZpesloDUvTKFlhIuXnjhoCKzh076ldtUPLo0SNxW6d5k6YGtUQnjh8X9gYPHGRYb6YQkGJGpdA2oRlpU0IrHRwBUhyI52JXQIqLYjowBUhxIJ6LXQEpejFdgZT79+/TqvSVNHTwYOrfty/169Mn6j5x/Hj9TFwuWb1ylYCKpalLTFnmx6b5CaU+vXobtucXKHLiOr7aEm1j2Llx46bhfvnyFTEGj5M0O4mO/P6H4X7y1Cm6cPGisvvyFatoTvJ8T+Z37sJ5+mFbD+2Jn9V/rnVl3CVpy2n+gkWu2PLLVymLlxDvfo3vxrjz5i+ipWkr4noNScnzaEX6qrhew8xZSbR6zbq4XsPUxBm0fsPGuF7DxElTadPmrXG9hvETJ9PRY8ej/UxaqnMMKfv37dMCU80+huzFI8i9e/QUQHD58mU6cviwyIr7Ye33xBM+HDR75syZEKH4Ng7Pf8a0aSHlwQcc21KhbLngIt33S5cv06TJiYb72HHP33XE43z1VQcaMGio4T4kYQQNHzlG2X3w0OE0aMgwz+Y3ePQI+jjteaK3D1Z8TP3GDXY8ttdrkOFP9oGXfpC1BvaFDNte2Rw0JIHifQ0DByfQkIT49sPzNaj9b2esc5J/E1T/9z/WGoYOG6kOpDx58oRer1JF/Li/UaUqMRiMHzuOPvnoYxHbwU/HDBowUDwxw1chOD5kzarVdOfOHd2Pu9sFLZo1F/MaPXKkGPebjp1oyKBBxLd/ShYtJsp2bN+uDbt82TLRnh9VjrTVrlFT9ItUH6sct3tiKRS5PiSQNqMjPch/ELmxiRrc7jEhkgdNcLvHA5FNDIHbPSZE8qAJbvfoRXZ0JYXzpPBVgY/q1KUHD178aPCVirIlS4WMduHCBar1zrviSkbO3ZyQOhkHfFuG51bz7Xfo4sWLIUP8deYvcUXkrddeJ37smDd+SSK3jwYp79WsJQAnxJiFA0CKBbEMmgYH0g44MJScJNsDpBgI7EMRIMUH0Q2GBKQYiOJDESBFL7ojSJk9c5b4YefkZ8HbiGHDRXn4j8ixo8dEOceuyN74ag5DB9+OMtoG9usv6jP3ZorqwO2emTNmGDUXZe9Uq0blS5eJWB+rApASS6HY9cGBtE4y0gJSYmvtRQtAihcqxx4DkBJbIy9aAFL0KjuClMQpU8UP/batGSGWOVkaAwJneg3f6rz3PlWuUFG7ghFe79Zx4HYPB7wabSvT08UcUxY+B6zfjxwRxxz4a7Rx3hRO6MZZa+1ugBS7yr3o51ZGWkDKC039/AZI8VP9F2MDUl5o4ec3QIpefUeQwrdGGEY4niN4Wzh/gSg3SqDGKea5z927d4O7uP6d42F4nOvXrxvaDtzeSV28WNQzhHCOlFYtWhi250Bbtteze3fDejOFgBQzKsVuE56R9mrutdidwloAUsIE8ekQkOKT8GHDAlLCBPHpEJCiF94RpARiUjh1fPDGLx7kH/S5c+YEF4vvbb/8UtTdyL6hq3OzYNfOnWKcpFmzDc3+0rOXqOcrKIGNk7/x7Rx+pDp8mzd3rmgfuPISXm/mGJBiRiVzbZwG0gJSzOksuxUgRbbC5uwDUszpJLsVIEWvsCNI4Zwg/KPOT/gEp5Hnp364nF/Sdy/nRZDslctXREAtv+SP+8rcOH09x5BUfbWS7uWA/M4efpS4RvW3Q6awbOnz4NnhCcNCyjkDbbXX3xAvJ7x182ZInZUDQIoVtWK33Zm1R8ufYjWQFpASW18vWgBSvFA59hiAlNgaedECkKJX2RGksDlO3MZxJuEv6xs2dKi48lC1UmXx6C8HqvJ3vsLStUsX/UwklBw6dEjcwuEXDI4aMYL4Kgg/hlyxXDkqUaQobd/24hFkHp6f9PmiVWsxR77tw1eCOPEcx9DwvOfPm+doloAUR/IZdk46MU8DFSuBtIAUQzk9LwSkeC654YCAFENZPC8EpOgldwwpkV64l5eXR5w8jX/cg3fOp8IJ1rzaOJ09x8FwnhaeR7GXX6H2bdoS36oy2nje0xMT6dVy5bV5169Xj/htyk43QIpTBfX9OZC2d2Z/DVT2XT+gb2RQAkgxEMWHIkCKD6IbDAlIMRDFhyJAil50x5CiN/mihG/pcHDt1+3a01dt29GsGTMNX973ooe8b/ykUVZWluETR0aj8tyzs7NF4rnwR6mN2pspA6SYUcl6m9zHufT5lvYCVOqva0JmAmkBKdZ1ltEDkCJDVes2ASnWNZPRA5CiV1UqpOiHK9wlgBR5/g8PpP03/9+ogwFSosrjWSUgxTOpow4ESIkqj2eVgBS91I4ghd80zI/ynj93Tm85QsniRYtoSWpqhNqCXQxIkevf4EDagTEy0gJS5PrCrHVAilml5LYDpMjV16x1QIpeKUeQwtlaOc6D86KY3b5s/blILZ+fn2+2S4FpB0iR78rgQNpFpyPDMCBFvi/MjABIMaOS/DaAFPkamxkBkKJXyXNI6dL5GwE2svOk6JfqfwkgRb4Pnjx7YiqQFpAi3xdmRgCkmFFJfhtAinyNzYwASNGr5CmkcDAq5xvhqy+yM87ql+p/CSDFGx+EBtI2NQykBaR444tYowBSYinkTT0gxRudY40CSNErZBlS+G3GO7ZvF/vM6dMFcPBbjwNlRp+cj2T1ylXEGV0ZUBrU+0g/k0JQAkjxzsmxAmkBKd75ItpIgJRo6nhXB0jxTutoIwFS9OpYhpSxo0cL0GDYsLOXLFqMwl9IqJ9WwSwBpHjr12iBtIAUb30RaTRASiRlvC0HpHird6TRACl6ZSxDCqe/37N7t8jcGrh1w6nna779TsS91jvvircH8/tyjhw+rJ9FISkBpHjv6KQTc7VEbylnlmgTAKRoUvj6BZDiq/za4IAUTQpfvwBS9PJbhpRgE5x2nq+mWHm6J7h/YfsOSPHe4xxI2yuznwYq+68fFJMApHjvC6MRASlGqnhfBkjxXnOjEQEpelUcQQqba/vFF5S+YoXeMkp0CgBSdJJ4UsCBtK23tPsvI+3zQFpAiifSxxwEkBJTIk8aAFI8kTnmIIAUvUSOIUVvEiWRFACkRFJGfvmFnItUb20jASptMzrS6g3raEX6KvkDSxxhzdr1xHs8b4AUNbwHSFHDD4AUvR8AKXpNpJUAUqRJa8rwzmu7tds+ndZ0peXpK031U7URIEUNz6QuSaOMsDeqqzEz87MApJjXSmZLQIpeXUCKXhNpJYAUadKaNhyckbZ3en/T/VRsCEhRwyuAFDX8kDRnHu0/8DzmTI0ZWZ8FIEWvGSBFr4m0EkCKNGlNG3767Cn9sm/A8ysqK+tS5vX9pvuq1hCQooZHAClq+AGQooYfJk+dRkePHXdtMoAU16SMbQiQElsjL1rkPr5PTVa3/C+Qtgldyb3qxbCujwFIcV1SWwYBKbZkc70TIMV1SW0ZBKTYkk2NToAUNfzAs1j4ayp9uLL+80DarR3oQf4DdSZnciaAFJNCSW4GSJEssEnzgBSTQkluBkiRLLBM84AUmepas82PII9Jn6AF0vY/MISePXtmzYjPrQEpPjvgv+EBKWr4AZCihh8AKWr4wdYsACm2ZJPSKZAnZc7J+RqoLDy9WMpYsowCUmQpa80uIMWaXrJaA1JkKWvNLiDFml5KtQakqOOOAKSEBNKuqkv7rh9QZ5IxZgJIiSGQR9WAFI+EjjEMICWGQB5VKwkpOXdzaHlaGv30/Q/0dbv21L5N26h7n169PZJLrWEAKer4IwApPCMOpP1iy1daIO3V3GvqTDTKTAApUcTxsAqQ4qHYUYYCpEQRx8Mq5SCFXxhYsVw5S29ErvVuDQ8lU2coQIo6vgiGFJ7VxXuXQjLSxkMgLSBFjfMJkKKGHwApavhBKUh5+vQpVX/jTQEor1WuQv369KGkWbMpOSkp6r582TI11PR4FoAUjwWPMlw4pHDTnVl7tPiUAQeGKh9IC0iJ4mAPqwApHoodZShAShRxPKxSClIOHjggAKVG9bfpzp07HsoQn0MBUtTxmxGk8OyCM9KqHkgLSFHjfAKkqOEHQIoaflAKUqYnJgpImTY1UQ11FJ8FIEUdB0WCFA6k7Z3ZX7uionIgLSBFjfMJkKKGHwApavhBKUiZNGGCgJSNGzaqoY7iswCkqOOgSJDCMwwPpFU1Iy0gRY3zCZCihh8AKWr4QSlImTtnjoCUVXH+NlmvXAtI8Urp2ONEgxTuzYG0H61tLK6otFU0Iy0gJbafvWgBSPFC5dhjAFJia+RFC6Ug5exfZwWk/PzDj16sPe7HAKSo48JYkMIzVT2QFpCixvkESFHDD4AUNfygFKSwJJ07dqQyJUrS6VOn1FBI4VkAUtRxjhlI4dkGB9IuOp2qzgKICJCihjsAKWr4AZCihh+Ug5Tbt29Ty+afUvnSZWjUiBG0Z/duunXrFuXm5kbcHzyIv5e5ueF+QIobKrpjwyykqBxIC0hx51xwagWQ4lRBd/oDUtzR0akVpSDl9OnT1LB+A3Elpcj/vSRu/Zj5RDK3l2jb1gyn54Jv/bdmbKclS+M7141ZSGGRcx/n0udb2v+XkbYpqZKRFpDi259AyMCAlBA5fDsApPgmfcjASkFK5t5M02ASDC+AFEBKyFntw4EVSOHpXQjLSPtv/r8+zDp0SEBKqB5+HQFS/FI+dFxASqgefh0pBSmPHz+mWzdvWt7/+ecfv/SzNO7Dhw+Js+q6teF2j1tKOrdjFVJ4xF1BGWkHKpCRFpDi/DxwwwIgxQ0VndsApDjX0A0LSkGKGwuSaWPQgIFUv169iHt2drZu+Ly8PJo9cxa9XqWKdpWIX5h48sQJXVurBYAUq4rJa28HUng2KgXSAlLknR9WLANSrKglry0gRZ62ViwDUiyo1aRhQypZtBh9ULu24X79+vUQa/n5+fRp02YCTj6qU5fGjh5N/fv2pdLFS1DRl16m7du2h7S3egBIsaqYvPZ2IeXJsyfUK7OflpF2//WD8iYZwzIgJYZAHlUDUjwSOsYwgJQYAnlUDUixIHTNt98Rgb1muyyYN18Ayi89e9GTJ0+0bpcvX6aqr1ait157nfhKi90NkGJXOff72YUUnokqgbSAFPfPCzsWASl2VHO/DyDFfU3tWPQNUu7du0djRo2ixClTia848HYj+wYtTV1ief91/Xo7a7fcp0LZctSuTRvT/T75uL54Uunu3bu6PjNnzBAAs3rlKl2d2QJAilml5LdzAik8u/BA2gf53j9WD0iRf56YGQGQYkYl+W0AKfI1NjOCb5DCcRqBJ3Q2bXz+rh6Vn+7hoF6eb/effzajK3GQbIkiRalFs+aG7U+dPCnsDeo/wLDeTCEgxYxK3rRxCik8S78z0gJSvDlXYo0CSImlkDf1gBRvdI41im+QcvTPP+mdatWozvsfUFZWlpjn8WPHxY86/7Bb2X/s+n2sdTqu56BYhpThCcNM2Tpy+LBo36f3L4btGWKKvfwK8dWWaFvew4d07VqW4X7u3HkxBs9rWuI0yty333D//Y8/6cxffym7py1bQbPnzFV2fma0W5yaRnPnLXS8htF7xmvxKZMyEx3bMzP3QJuFixYT74HjePxMnreA+Ec+HucemPPspGRKW74irtcwfcZsSl+5Jq7XMGXqdFqzbn1cr2HCxCn064ZNcb2GcRMm0dFjx6P9TFqq+5+l1nHUmJ/GYRho1aKluJrS8auvqVOHDjR65Ej6/cgR3UrWrF4t2s+cPl1XFyh4+61qVKFM2cCh4eeVK1dp2vRZhvukyYkapHz9dUcaODjBcB82YjSNGTdR2T1h+EgaPHS4svMzo93QYSNpSMIIx2sYPW4CfZry+XNQWVmXek7r69immflzm6EJI8Rutr2K7dgH7AsV52Z2Tvy3wH8TZtur2G7w0GGUMHxUXK9h0JBhpPq/nbF8z78JwxX/9z/WGvjvGZBiiAehhefPnaNK5StQqWLFiZPH1fuwDr1Z9TUNEjp9/XVIEOzyZctE3dzk5FBDQUe1a9QU9oKKLH3F7R5Lcklt7MbtnsAEOZC29ZZ2nmekxe2egAf8/cTtHn/1D4yO2z0BJfz99O12j7/Ltjc6Q0HwUzps5a8zf2mPGQ/o208zbAZS3qtZSzzSrHWy+AWQYlEwic3dhBSe5vmcC1RvbUMBKm0zOpIXGWkBKRJPEAumASkWxJLYFJAiUVwLpgEpFsSK1JQfI361XHkqW7IU8VNLvLl1uyfSmFwOSImmjrd1bkMKz37HtV1afIoXGWkBKd6eM5FGA6REUsbbckCKt3pHGg2QEkkZi+UcvMsxK3/+8YfoyZ983K9PH0NLjx49EoGzfNvI7gZIsauc+/1kQArPMunEXA1UFp1OdX/iQRYBKUFi+PgVkOKj+EFDA1KCxPDxKyDFJfF7dOsmoOTY0WPCIj+yzJllWzb/1HCE06dOifa9e/Q0rDdTCEgxo5I3bWRBSnhG2n3XD0hbECBFmrSWDANSLMklrTEgRZq0lgwDUizJZdyYXxoontQpW07cggm0at6k6fNbnJOjlAAAIABJREFUQDk5gSLtc87sJAEpi1NStDKrXwApVhWT114WpPCMvcpIC0iRd35YsQxIsaKWvLaAFHnaWrEMSDGpFl8hCQ+aDXSdMG68AI7gwFmuW5meLsr5xYTPnj0LNCfOufJGlari8eM7d+5o5Va/AFKsKiavvUxI4VkHZ6Rtl9FJSiAtIEXe+WHFMiDFilry2gJS5GlrxTIgxaRaHHNSpeKr1PXbLjRpwgTitPbDhyaIFw1y7EnD+g0o527oFRMGE37jMdc3bdSIpicm0sjhIwSccJmTqyg8bUCKSed50Ew2pPASdl7brcWnDDqYEAK+biwRkOKGis5tAFKca+iGBUCKGyo6t6EUpGzbmkGcoXXHdmdvB3Yui97C3j17xHt7GFQYMAI7wwen+H+Y91DfiYg4QHbunDlUtVLlkD67d+0ybG+lEJBiRS25bb2AFF5BcCBtypklri4KkOKqnLaNAVJsS+dqR0CKq3LaNqYUpPAVCv7x55cOqrzxFZPbt29HBBOjufNVFe7HYOHWBkhxS0nndryClPBA2v3XDzqf/H8WACmuSenIECDFkXyudQakuCalI0NKQcqMadMEpPAnttgKAFJia+RVC68ghdcjKyMtIMWrsyX6OICU6Pp4VQtI8Urp6OMoBSmB3CKRHtuNvpTCVwtIUcfnXkIKr/pCzkWqt7aRiFFxK5AWkKLG+QRIUcMPgBQ1/KAUpLAk333zrbiasnHDRjUUUngWgBR1nOM1pPDK3Q6kBaSocT4BUtTwAyBFDT8oBykPHjygtl9+SSWKFBWxKRz7gc1YAUCKsS5+lPoBKbxONwNpASl+nDn6MQEpek38KAGk+KG6fkylIOVG9g1KTkqiUSNGaE/DFH+lCDVq8Am1bvlZxL3bTz/rV1YISgAp6jjZL0gJD6R1kpEWkKLG+QRIUcMPgBQ1/KAUpGTuzdQe0w084mvms9a7NdRQ0+NZAFI8FjzKcH5BCk8pNCNtE7qSezXKTCNXAVIia+NlDSDFS7UjjwVIiayNlzVKQQpnYk1ZuNDyzm8cLowbIEUdr/sJKaxCcEbatls70IP8B5bFAaRYlkxKB0CKFFktGwWkWJZMSgelIEXKCguwUUCKOs71G1JYiZ1Ze7SMtAMODLWckRaQosb5BEhRww+AFDX8AEhRww+2ZgFIsSWblE4qQAovbM7J+RqoLDqdammtgBRLcklrDEiRJq0lw4AUS3JJawxIkSatfMOAFPkamx1BFUh5+uwp9crsp4GKlUBaQIpZb8ttB0iRq69Z64AUs0rJbacspJw6eZLGjBpFH9etS9XfeJNer1KFTp8+HaIGv5l465Yt5ORNwiEG4+wAkKKOw1SBFFYkNJC2KV3NvWZKKECKKZmkNwKkSJfY1ACAFFMySW+kHKTwO24ShgwxfMrn+LHjIYIsXrRItBs/dlxIeWE5AKSo42mVIIVVCQmkzehoKpAWkKLG+QRIUcMPgBQ1/KAcpPDVE37smJO5tWvThmbOmEFftGotysIh5fLly6Kcr7YUxg2Qoo7XVYMUViY4I23/A0NiBtICUtQ4nwApavgBkKKGH5SClNzcXCpfuozYjxw+rCkUuLISDincoOqrlYgTvj1+/FhrX1i+AFLU8bSKkMLqWMlIC0hR43wCpKjhB0CKGn5QClKWLU0TV0aGDh4cok40SGn8SUPR59atWyF9CsMBIEUdL6sKKRxI2zuzvxZIu//6wYiiAVIiSuNpBSDFU7kjDgZIiSiNpxVKQcrkiRMFcGzZvDlEhGiQ0qxRY9Hn5o0bIX0KwwEgRR0vqwoprBAH0rbe0k6ASv11kQNpASlqnE+AFDX8AEhRww9KQcq0qYkCONatXRuiTiRIefLkiXjqh2NY+Ae7sG2AFHU8rjKksEoXci5SvbUNBai0zehI/+br/14AKWqcT4AUNfwASFHDD0pByvaMbQJSvvvm2xB1IkFKoP2nTZuFtC8sB4AUdTytOqSwUjuu7dJu+ww0yEgLSFHjfAKkqOEHQIoaflAKUvjx4/dq1qKiL71M6StWaAoZQcqFCxfonWrVBNQsT0vT2hamL4AUdbwdD5DCas0+MVcDlfCMtIAUNc4nQIoafgCkqOEHpSCFJfl1/XoBKXwLp0Wz5rQ4JYW+7dRZwMjK9HTasP5X+un7H6hcqdKirH69epSXl6eGmh7PApDiseBRhosXSHny7EnEjLSAlCgO9rAKkOKh2FGGAqREEcfDKuUghdfOoFKhTFkBIQwrkfZmjZtQYXyqJ3B+AFICSvj/GS+QwkpFCqQFpPh/HvEMAClq+AGQooYflIQUluZG9g1aOH8Btfn8CypToqQGKpUrVKTuP/9M27dtp/z8fDVU9GkWgBSfhDcYNp4ghaf/PJC2UUggLSDFwLE+FAFSfBDdYEhAioEoPhQpCynhWjx9+jRmxszwPgX9GJCijofjDVJYueCMtBxIu3rNOmJQiedt+YqVtHHTlnheAq6kKOI9QIoajogbSFFDLrVmAUhRxx/xCCmsXnBG2n6rBwNSFDilcCVFASfw38acebT/QOTkh2rMMvosps+YTYeP/B69keK1SkHK0T//pAb1PqL169aZlu3zz1pRw/oNTLcvSA0BKep4M14hJTyQdvKaaeqIamMmuJJiQzQJXRYsTKFdu/dKsOydSUCKd1pHG0kpSMncmyliTzgWxezWuWNH0Yff+1PYNkCKOh6PV0hhBYMDaeuu+oSu5l5TR1iLMwGkWBRMUnNAiiRhLZrFlRS9YP/TF5kvsQMpHFjLT/9woG1h2wAp6ng8niGFVeRA2g9XNQgJpFVHXfMzAaSY10pmS0CKTHXN2wak6LXyFFIOHjgg3oBctmQpevjwoX42BbwEkKKOg+MdUljJcWsmaYnejDLSqqN25JkAUiJr42UNIMVLtSOPBUjRa2MZUpYvW0bt2rQRe5OGz99oXOf9D7SyQF3wZ9svvyRuy5lp+SrKj12/18+kEJQAUtRxckGAFH6yp9fqfhqopJxZoo7AJmcCSDEplORmgBTJAps0D0jRC2UZUjZu2Eh13ntfwEakpG3Ryvm9PTl3c/QzKQQlgBR1nFxQIGXVmrUhGWn3X4+vpxsAKWr8TQBS1PADIEXvB8uQEjBx6dIl6tW9h4AVfsHg3DlzIu/JySJd/ulTpwLdC+UnIEUdtxcUSOGrKfce3aNWm9uKKyr11zWNq0BaQIoafxOAFDX8AEjR+8E2pLCpO3fuUOniJUSmWb3p+C7hZHR8xYfBwq0NkOKWks7tFCRIYTXO51ygemsbxl0gLSDF+bnshgVAihsqOrcBSNFr6AhS2By/QPDE8eN6y4qWzJoxkyqVr0DfdOxkOMP79+/TlEmT6dVy5bVbWq1atKTfjxwxbG+lEJBiRS25bQsapLBaO67t0uJT4iWQFpAi9zw3ax2QYlYpue0AKXp9HUOK3qS6JcePHaeSRYsJ+PiiVWvdRB8/fkyNP3keDNyowScCVoYNHUrlS5cRfTZv2qTrY6UAkGJFLbltCyKksGKzT8zVQCXlzFK5IrpgHZDigogumACkuCCiCyYAKXoRCw2kPMx7SB/Wfo9aNv+U3qhSlYwgJTkpScDIwH79Q9479Pfff9PrVaqI/cGDB3oVTZYAUkwK5UGzggop4RlpD2Qf8kBN+0MAUuxr52ZPQIqbatq3BUjRa+cKpPBjyfyjX7FcORGjUqp4cYq21/3gQ/1MJJcMGjCQShQpKm5N8ZURI0jhFP+cw+Vejv7pozmznwPMyvR02zMFpNiWzvWOBRVSWKjgjLQN1jeja/ezXNfPLYOAFLeUdGYHkOJMP7d6A1L0SjqGlOEJw7TYjWiPHgfq+IrELz176WcisWTnjh1ijlMnTxGjlCpWXAcpfKWFIYavtBht/GQSr2FA335G1abKACmmZPKkUUGGFBYwOJC2XUYn+jffvQBwNx0ESHFTTfu2ACn2tXOzJyBFr6YjSLl7967IIMs/3oMHDqJDhw7RlctX6Kfvf6AKZcoS/7BzHAhffeAff4aD7du262chseSff/6hN6u+Rs2bNCV+Yoc3hpHwKym/HfpNQEi/Pn0MZ/Po0SMq9vIr4oWKhg3+K/w3L48uXrpkuJ86fVoDuskTJ9OOHbsM94MHD9GJEyeV3VOXLqNZs+coOz8z2i1KWUJz5s6P6zXMX7CIeI+03kX7U7X4lJ+29qTjx09EbBvJhuzyOcnzKGXxEuXmZWXdM2fNoSVLl8X1GqZNn0kMjFbWrVrbyVOm0arVa+N6DeMnTqG1636N6zWMHT+Jjh5z72EaR5CyZtVq8aPb7cefQn63hwwaJIAkuPDZs2fiCkrxV4rQH7979ypqfoqHgYnhKbDxHMIhZc3q52uZOX16oJnu851q1YQtXUVQwdWr12hWUrLhnjh9pgYpHTp0psFDhxvuI0ePo4mTpiq7Dx85hoYOG6ns/MxoN2zEaEoYHt9rSBg+iniPtt6O87/TQOXbuT9GbRvNjqy6hGEjiX0hy74XdocOG0H8N+HFWLLGGJIwgkaMiu818L+nI0ePjWs/DBoyjFT/9z/WOcj/JikDKdMTE8WP7vp164J+ponGjBolyvPz80PKOe8IP13zZevPQ8plHSxbmibmwTEzwZsRpCxPe952bnJycNOQ7+/VrCXmH1Jo4QC3eyyIJblpQb/dE5BP9UBa3O4JeMrfT9zu8Vf/wOi43RNQ4sWnoyspAUjZumXLC4tENG3qc3gxetPx55+1ErdNZL9g8PLly+LRYc6GG74ZQsqyZQJookFK7Ro1dVeIwm1HOwakRFPH27rCAimsanBGWtUCaQEp3p73kUYDpERSxttyQIpeb0eQErj6wAnSgrfAbaDtGduCi8X3bzt1FjBw6+ZNXZ1bBU+ePKFmjZvQW6+9Thw3E74ZQcraNWvEvKLd7nn7rdi3e8LHCj4GpASr4e/3wgQprHRwIG37jM70b36evw74b3RAihJuIECKGn4ApOj94AhSLpw/L37Y23z+RYjlrKwsUc6P/YZvnCSNA21v374dXuXacdKs2WKMbj/9TEtTl+h2DoDllyQG6jiJ29GjR0WfPr1/MZwHX/nhfh/XrWtYb6YQkGJGJW/aFDZIYVW3B2WkHXQwISQXkDeq60cBpOg18aMEkOKH6voxASl6TRxBCpvjOA1+Wub69esh1mu9W0OUr165SvxjyFc35s+bJ0Cg5tvvhLR1+6B3j55inMBjz7E+7927Rxw/U6ZESWrRrLnhdE6dPPkcYnr1Nqw3UwhIMaOSN20KI6SwsrNOJGuBtCpkpAWkeHO+xxoFkBJLIW/qASl6nR1DCt8m4ds94QnQtmzerIECvwenQtly2jG/G0fmduHCBTqwf3/Ena+INKzfQKtngOKNAYVBxegWEa+RYWdJaqrtqQNSbEvnesfCCikcSNszs68GKn5npAWkuH5q2zIISLElm+udACl6SR1Dit7kixKGEf7RD1zJ4FgQTuQWgIIXLb39ZhSTwjMIxKXwLZ/gOV67epWqVqosMuoaAYzZ2QNSzColv11hhRRWNjiQtv66pnQ195p8wSOMAEiJIIzHxYAUjwWPMBwgRS+MVEjh4W7euEEbf90g3pbM31XYIkEKz61Thw4CqjhF/vix44jjajhVPoNW+KPMVtcCSLGqmLz2hRlSWNULORep3tqG4opK24yOvmWkBaTIO8etWAakWFFLXltAil5bR5ASngdFb17NEn53UK/uPQwnx1dQFqekUPU33tSuALVq0VJk0zXsYKEQkGJBLMlNCzuksLw7r+3WbvsMPDDUl0BaQIrkE92keUCKSaEkNwOk6AV2BCmZezPFY749unUjzth6584d/QhxXMJP9ATf9nG6FECKUwXd6w9Iea5l0om5GqgsOm0/3squZwApdpVztx8gxV097VoDpOiVcwwpgXgT/iz60ssiIHXs6DF08MAB8cSMfsjCWwJIUcf3gJTnvgjPSLv/+kFPnQRI8VTuiIMBUiJK42kFIEUvtyNIycvLo82bNom4jTrvf6DdHgmAC78zp9PXX9OiBQuJM8AW9g2Qos4ZAEh54Yvcx7nUeks7cUXF60BaQMoLP/j5DZDip/ovxgakvNAi8M0RpASMBD45MJazzXKeknerVddBS6133qUBffvRzh07Al0K1ScgRR13A1JCffE8kLaRFkj7IP9BaANJR4AUScJaNAtIsSiYpOaAFL2wrkJKuHl+8zBndf3p+x+IU8oHrrBworfCuAFS1PE6IEXvi+BA2gEeBdICUvR+8KMEkOKH6voxASl6TaRCCg/HeUVWpqeLp2kCT8wAUl6ibVsz9N6Ik5KtGdtpydLQN0vHydS1aQJSNClCvgQH0qacWRJSJ+MAkCJDVes2ASnWNZPRA5CiV1UKpFy9coXmzplD/Ogu5yQJXEHhTK+c1ZUf8S2MG66kqON1QIqxL7wOpAWkGPvB61JAiteKG48HSNHr4hqknDh+nCaOHy9ewBeAEv4sXbwEdWj/FaUtWSr1pYL6palXAkhRxyeAlMi+8DKQFpAS2Q9e1gBSvFQ78liAFL02jiCFA2WHDBqkC5KtVL4CdfvxJ5Fpln+YsT1XAJCizpkASInui/M5FzzJSAtIie4Hr2oBKV4pHX0cQIpeH0eQwsncAldNmjdpSlMmTRKZWd1MgKafcvyWAFLU8R0gJbYvdlzbpSV6k5WRFpAS2w9etACkeKFy7DEAKXqNHEHKvswXkMLvt+EYFH6p4PFjx/UjoYQAKeqcBIAUc76YHZSRVkYgLSDFnB9ktwKkyFbYnH1Ail4nR5Dy9OlTOnTwICUMGaK75cN5UoYNHSqurDx79kw/ciEsAaSo43RAijlfhAfSHsg+ZK6jyVaAFJNCSW4GSJEssEnzgBS9UI4gJdwcX0EZN2Ys1Xnvfe02EN8OerPqayKJ2949e119F074+KofA1LU8RAgxbwvwgNpr93PMt85RktASgyBPKoGpHgkdIxhACl6gVyFlGDz58+do+mJidSowSfinT6B2JUqFV+l4QnDgpsWmu+AFHVcDUix5ovgQNp2GZ3o33x3AuIBKdb8IKs1IEWWstbsAlL0ekmDlOChbt++TYlTpmpZZ5HMDcncgs8PP74DUqyrLiOQFpBi3Q8yegBSZKhq3SYgRa+ZNEg5d/YspSxcSF2/7UKvV6kScvundo2a+pkUghJcSVHHyYAUe76YdSJZe+LHjUBaQIo9P7jdC5DitqL27AFS9Lq5Bin8np4lqan0Y9fvRQxK4PZO4JNT4vfs3p3WrF5Nd+7c0c+kEJQAUtRxMiDFni/cDqQFpNjzg9u9ACluK2rPHiBFr5sjSMnKyhLg8U61Fy8PDEAJP5Lcvk1bkR7/7F9n9SMXwhJAijpOB6TY98W9R/eo9ZZ24opKg/XNyEkgLSDFvh/c7AlIcVNN+7YAKXrtHEFKcDK3oi+9TJ98XJ/GjBpFXP7o0SP9aIW8BJCizgkASHHmi+BA2vYZnenf/DxbBgEptmRzvRMgxXVJbRkEpOhlcwQpR48eLfS3cPSSRi4BpETWxusaQIpzxbcHZaQddHAY2cmHBEhx7gc3LABS3FDRuQ1Ail5DR5CiN4eSaAoAUqKp420dIMUdvUMDaZdaNgpIsSyZlA6AFCmyWjYKSNFLBkjRayKtBJAiTVrLhgEpliUz7MCBtD0z+2pP/FjNSAtIMZTV80JAiueSGw4ISNHLAkjRayKtBJAiTVrLhgEpliWL2IEDaVttbitApf66ppYCaQEpEWX1tAKQ4qncEQcDpOilAaToNZFWAkiRJq1lw4AUy5JF7WA3kBaQElVWzyoBKZ5JHXUgQIpeHkCKXhNpJYAUadJaNgxIsSxZzA52AmkBKTFl9aQBIMUTmWMOAkjRS2QaUvLy7D1iqB+y8JYAUtTxPSBFji+CA2kXn4kdSAtIkeMHq1YBKVYVk9MekKLX1RSk3L9/n8qUKEmD+g/QW0CJaQUAKaalkt4QkCJH4uBA2tqr6tHB7N+iDgRIiSqPZ5WAFM+kjjoQIEUvjylIObB/v3j3ztDBg0MsnDp5ktp++SVt25oRUo4DYwUAKca6+FEKSJGnenAgbayMtIAUeX6wYhmQYkUteW0BKXptTUHK1i1bBKRMT0wMsRDIOLtw/oKQchwYKwBIMdbFj1JAilzVzQbSAlLk+sGsdUCKWaXktgOk6PU1BSmHDh4UkNKl8zchFgApIXLEPACkxJTIswaAFPlSmwmkBaTI94OZEQApZlSS3waQotfYFKQ8ffqUqr3+hgCVgf360949e+ny5cvijcb8QsEpkybT1StXTO/Xr1/Xz6QQlABS1HEyIMUbX8QKpAWkeOOHWKMAUmIp5E09IEWvsylI4W5r16yhEkWKClAJvOnY7metd2voZ1IISgAp6jgZkOKNL2IF0gJSvPFDrFEAKbEU8qYekKLX2TSkcNdDhw7Rzz/8SFUrVXYEK15DyuPHj+n27dt069Yt0y9B47c4Z2dn0507d/Sq2SwBpNgUTkI3QIoEUSOYjBZIC0iJIJrHxYAUjwWPMBwgRS+MJUgJ7s5vPD129JiAlfnz5lF+fr7p/cmTJ8GmpHzn+aSvWEFftGpNJYsW06DqtcpVqHePnhTpllPO3RwaO3o0lS9dRuvTtFEj2r9vn+N5AlIcS+iaAUCKa1KaMhQpkBaQYko+6Y0AKdIlNjUAIEUvk21ICZh6+61qpOLTPR2/+lpARvU336IBfftR0qzZNGPaNGrVoqUo5xib8KskfPWkQb2PRH3L5p/S7JmzaOzoMfRqufKibN3atYFl2/oEpNiSTUonQIoUWaMa3X5tp/YiwkEHh4mrmoCUqJJ5VglI8UzqqAMBUvTyOIaUNatW0+HfDust+1zCTx4tSU01vL3DSek4nmbq5Ckhs5w5Y4YoHzZ0aEj5rZs36a3XXqeqr1ai3NzckDorB4AUK2rJbQtIkatvJOszj8/RQIUz0gJSIinlbTkgxVu9I40GSNEr4xhS9CbVLzlz5oyAka/atguZ7Md164rbPEYgMjc5WfRZvmxZSB8rB4AUK2rJbQtIkatvJOvBgbS1VtWl8Ssm08ZNWyI1j4vy1CVplLFte1zMNdIkASmRlPG2HJCi19tVSOFYE348mR9JHjl8hIjt4B/3S5cu6Uf2seTo0aMCOLp+20WbBb+bqPgrRahVixZaWfCXANj069MnuNjSd0CKJbmkNgakSJU3qvHgQNq6Kz+hJRvsg3/UgTyqBKR4JHSMYZLmzKP9Bw7GaKV2NSBF7x9XIOXhw4c0fGiCuB0S6bHkj+rUpfXr1uln4EPJT9//ICBl9cpV2uj85BLPvX/fvlpZ8Bd+Qoghhq+2RNsePHhAZ8+dM9yPHT8uxuBxxo0bT5u2bDXc9+zdR3/8eVTZPSV1Kc2YlaTs/Mxot2DhYkqaMzeu1zB33kLi3cx6VWuz4dBm+nB1A3Hrp8mKlnTg99/ich2s64yZs2lx6tK4nT+vYeq0GbR02Yq4XsOkyYm0In1VXK9h3ITJtGrN2rhew9jxE+nosePRfiYt1TmGFL410qxRY+3Ht1yp0iI4tXPHjsTBq/U+rKPV8Y/ztKmhqfUtzdZGY4aGu3fv0s0bN4jT+3f6+nlALT/hw08oBTaOreH5cVxKpO2datXE7aBI9Vx+LSuLkuctMNxnzkrStOjYsTMNTRhhuI8ZO4GmJs5Qdh85ehwlDB+l7PzMaDdi1FgaNmJ0XK9h+MgxxLuZ9arYpndyfy0+5fPU9jQlcXpcroX/FvhvQkWNzc5p6LCRNGrM+Lhew5CEETR6bHyvYfDQ4TRmnNr//sc6p/jvQSlI6dP7F/HDW6P627R923biKw7hG+cn4VtAfCWCQcDLQFtO5c9jBvbXq1Qho7iS5Wlpog3fnoq0vVezlnicOVJ9rHLc7omlkHf1uN3jndbRRuqW3lsDlZQzS6I1VbYOt3vUcA1u96jhh8lTp6kDKZxTpGzJUlShbDniJ2BibYsWLBQg0P3nn2M1da1+08aN4urNlEmTqGf37lS7Rk0xh9YtPxPJ2gIDMbgwyESDFO5bqljxQBfLn4AUy5JJ6wBIkSatJcNpK1bQV2s6a6Cy/3r8xRQAUiy5XFpjQIo0aS0ZVgpS+BFf/mEfOniwqUVwHhK+klG6eAnDKy6mjDhsxLd4OP8Jzzs4SJbT/nMZ51KJtHHOlQplykaqjlkOSIkpkWcNACmeSR11IH4EedXGtdRqc1sBKvXXNaVr97Oi9lGtEpCihkcAKWr4QSlI4asT/MNuJSC2fZu2og/fAvJza9TgEzGPv//+W0zj+LHnQa19evU2nNbDvIdU9KWXRbI3wwYmCgEpJkTyqAkgxSOhYwwTyJNyIeci1VvbUIBKu4xO9G/+vzF6qlMNSFHDF4AUNfygFKRwMjSGFCuZWNt++eVzSDFxe0im5F27dBHzYDjhjR+f5ltXzZs0NRz2xH9P5vT95RfDejOFgBQzKnnTBpDijc6xRglACrfbcW2Xdttn0MGEkMD2WHb8rAek+Kn+i7EBKS+08PObUpCyMj1d/NCb/eG+f/8+VSxXTrygMPjJGq8F5bH5JYfFXn4lJJaGb/+UKl5cly6f5zc9MVGsNW3JUtvTBaTYls71joAU1yW1ZTAYUtjArBPJGqiknLH/t2ZrMjY7AVJsCudyN0CKy4LaNKcUpPCPLgfNlilR0lTCtvFjx4kf+m4//mRz+ea6cd6WHdu3G/5PjAFl4vjxYh785E/wtvHXDaKcA3uDn1K6cOECVa5QUez3cnKCu1j6DkixJJfUxoAUqfKaNh4OKZyRtldmPw1UDmQfMm3Lr4aAFL+UDx0XkBKqh19HSkEKizBk0CDxw87vtVmckhLyxAzX820UfuS4R7duoh1fqbhw/rxU/Rgk+DZUlYqvirwoo0aMIAYkflyar6BwHX9evnxZN49VzXABAAAgAElEQVTvv/tO1Nd5730anjBMvDGZ58x91qxerWtvpQCQYkUtuW0BKXL1NWs9HFK4H2ekbb2lnQCVeAikBaSY9bbcdoAUufqata4cpPBVi0CcCf+Q8/5uteoiM2ud9z8QV1oC5RzzsW1rhtm12m739OlT8WbmL1t/Tq9VriLmxHPg8bmM34jMSd6MNr7Swrex+HFjDpTlR4452JdT6TvdAClOFXSvPyDFPS2dWDKCFLZ3PueCFkjbPqMz/Zuf52QYqX0BKVLlNW0ckGJaKqkNlYMUXi1DwawZM3XZZQNwwj/2nOn19OnTUsWJZpznaHVzO24GkGLVA/LaA1LkaWvFciRIYRuhgbTDDG/fWhlLVltAiixlrdkFpFjTS1ZrJSEleLEXL16kVekrxa0fzqOyLzOTjN4qHNynsHwHpKjjaUCKGr6IBik8w+BA2sWKBtICUtQ4lwApavhBeUhRQyY1ZwFIUccvgBQ1fBELUjiQtmdmX6UDaQEpapxLgBQ1/ABIUcMPtmYBSLElm5ROgBQpslo2GgtS2CAH0qqckRaQYtntUjoAUqTIatkoIMWyZOp0AKSo4wtAihq+MAMpPNPgQFrVMtICUtQ4lwApavgBkKKGH2zNApBiSzYpnQApUmS1bNQspLBhVQNpASmW3S6lAyBFiqyWjQJSLEumTgdAijq+AKSo4QsrkMIznn1irhafokogLSBFjXMJkKKGHwApavjB1iwAKbZkk9IJkCJFVstGrUJKcCBt7VX16GD2b5bHdLsDIMVtRe3ZA6TY083tXoAUtxX10B4gxUOxYwwFSIkhkEfVViGFpxUcSNtgfTO6dj/Lo9kaDwNIMdbF61JAiteKG48HSDHWJS5KASnquAmQooYv7EAKzzw4kNbvjLSAFDXOJUCKGn5QClL4xXuDBw6iQwcPmlYnYcgQ0cd0hwLUEJCijjMBKWr4wi6k8Oy3X9ulxacMOuhfRlpAihrnEiBFDT8oBSmZezPFe3EWzl9gWp2v2rYT78Thd/4Utg2Qoo7HASlq+MIJpPAKVMhIC0hR41wCpKjhh7iHlM4dOwqwyc7OVkNRD2cBSPFQ7BhDAVJiCORRtVNICQ+kPZB9yKOZvxgGkPJCCz+/AVL8VP/F2HENKbdu3hRvRS728it0//79F6sqJN8AKeo4GpCihi+cQgqvwu9AWkCKGucSIEUNP/gOKfv37aNpUxPF/kvPXuKqCL/hOFBm9Jk4ZSoNH5pAr1epItp//lkrNdT0eBaAFI8FjzIcICWKOB5WuQEpPF0/A2kBKR6eMFGGAqREEcfDKt8hJTkpScSUFPm/lwRwWP18rXIVOnXypIeSqTMUIEUdXwBS1PCFW5DCq9l+bacWSDv44HB69uyZJ4sEpHgic8xBACkxJfKkge+Qwqu8ffs2LV+2jJo2aiRApUG9j+jbTp0j7l06f0M///AjcYAt3/IprBsgRR3PA1LU8IWbkMIrmnl8jgYqqX+lebJIQIonMsccBJASUyJPGigBKYGVnj93TkCKlad7An0L4ycgRR2vA1LU8IXbkBIeSOtFRlpAihrnEiBFDT8oBSksycjhI2j7tu1qqKP4LAAp6jgIkKKGL9yGFF6V14G0gBQ1ziVAihp+UA5S1JAlPmYBSFHHT4AUNXwhA1J4ZV4G0gJS1DiXAClq+AGQooYfbM0CkGJLNimdAClSZLVsVBak8ES8CqQFpFh2u5QOgBQpslo2qiSk3Mi+QQvmzadOHTpQqxYtqWXzT6PuP33/g+WFF4QOgBR1vAhIUcMXMiGFVzjzeJL0QFpAihrnEiBFDT8oByn7MjOpXKnSlh5HrvVuDTXU9HgWgBSPBY8yHCAlijgeVsmGFA6k7bG3jwCV2qvqkYxAWkCKhydMlKEAKVHE8bBKKUh58uQJvVGlqgCU6m++RcMThtHilBRakpoadV+/bp2HkqkzFCBFHV8AUtTwhWxI4VXmPLpHrTa3FaDSYH0zunY/y9XFA1JcldO2MUCKbelc7agUpAReMFi7Rk26l5Pj6kILojFAijpeBaSo4QsvIIVXei7nPNVb21CASvuMzvRvfp5rAgBSXJPSkSFAiiP5XOusFKRwCnzOODtz+nTXFliQDQFS1PEuIEUNX3gFKbxaWYG0gBQ1ziVAihp+UApSJk2YICBl44aNaqij+CwAKeo4CJCihi+8hBRecXBG2iV/LXNFBECKKzI6NgJIcSyhKwaUgpS5yckCUtJXrHBlcQXdCCBFHQ8DUtTwhdeQwoG03ff+4mogLSBFjXMJkKKGH5SClAsXLghI6dqlixrqKD4LQIo6DgKkqOELryGFVx0cSPuJC4G0gBQ1ziVAihp+UApSWJLvv/uOShUvTn/+8YcaCik8C0CKOs4BpKjhCz8ghVceHEj71TZngbSAFDXOJUCKGn5QDlJy7ubQl60/p9LFS9DAfv1p08aNdPnyZcrOzo6437p1Sw01PZ4FIMVjwaMMB0iJIo6HVX5BCi/RrUBaQIqHJ0yUoQApUcTxsEopSDl54gR9ULs2FXv5FXHbh5/0MbMjmdtLtG1rhoenjbtDbc3YTkuWuhN06O7MzFsDpJjXSmZLPyGF1xUcSJv6V5qtpQJSbMnmeidAiuuS2jKoFKQE8qSYAZPgNl5DysOHDykrK0vsnIDOzHb//n26dOmS6PPs2TMzXWK2wZWUmBJ51gCQ4pnUUQfyG1I4kLZnZl9HgbSAlKgu9qwSkOKZ1FEHUgpSnj59SvzDa3V/mPcw6iLdqjxy+DD16NYtJG1/1UqVqX/fvsS3qYy227dvU8KQIeL2VQCs6terRzu2bzdqbqkMkGJJLqmNASlS5TVt3G9I4Ynec5iRFpBi2t1SGwJSpMpr2rhSkGJ61j40nDljhrj19Gq58tSvTx9aOH8BJSclUYtmzUX5R3Xq0uPHj0NmxvBU94MPRX2bz78QfaZOnkIMNgwsK9PTQ9pbPQCkWFVMXntAijxtrVhWAVJ4vudzLtjOSAtIseJxeW0BKfK0tWIZkGJSrVMnT1KfXr0pNzdX1+O7b74V0LFm1eqQukAG3TGjRoWU3717l95+qxpVrlDRUfp/QEqIrL4eAFJ8lV8bXBVI4Qltv7ZL3PaptaouDTqYQGZv8wJSNHf6+gWQ4qv82uCAFE0K+18CsTQ9u3cPMVLvwzpUoUxZevDgQUg5H/CVGL6asmypveA6tgFI0cnqWwEgxTfpQwZWCVJ4YrNOJGugknJmachcIx0AUiIp4205IMVbvSONphSk8GPGqYsXW97XrV0baX2elB89elQAB8erBDYGCH5KqVWLloGikM+/zvwl+vTp/UtIuZUDQIoVteS2BaTI1desddUghQNpe2X20wJpD2QfirkUQEpMiTxpAEjxROaYgygFKYErEoEAU7OfXj/dE64qgxXPddGChVrVwQMHRBnnejHa8vPzqUSRosRXW6Jt/FTQyZOnDPcjR34XY/DYI0eOojXr1hvu27bvpEO/HVZ2X7golabPmKXs/MxoN2/+Ipo1e05cr2FO8nzi3cx6VW0zc9YcmrdgkVJr2HlwDzVd20qASr3VjWjj/s1R5zdt+ixamJIatY2q+gfmNWXqdFq8JC2u1zBh0lRKW7YirtcwdvwkWrFyVVyvYcy4iXT02PFoP5OW6v5nqXVY4xPHj9Nnn34acecg1Trvf0BFX3pZ+3Hu1b2Ho1smYVOwfMiPIHPQLCefu5F9Q+vP8SkMD7NmzNTKwr+8W606lS9dJrw45Djr779pUUqq4Z48d76mQ+fO39KwEaMN9wmTptDM2XOU3ceMnUDDR45Rdn5mtBs1ZjyNGDU2rtcwcvQ44t3MelVtwz4YPWa8cmsYlTye3l/5sQCVRstbUOLsmRHnOHzkaBozbkLEelW1D57XsBGjaOz4iXG9hqHDRtK4CZPjeg1DEkbQ+Ilq//sffN4YfeffNWUgJeTXOcoBB56mLVkq4j2aN2lKXj2CbDSliePHC1CYMW1aSPXytDRRPm/u3JDy4IP3ataikkWLBRdZ+o7bPZbkktoYt3ukymvauGq3e4InHpyRdtDBYREDaXG7J1g1/77jdo9/2gePrNTtnuCJmfm+ZfNmAQKJU6aaae56m8DVklYtWhDneAneli9bJuY2d86c4OKQ77Vr1KRSxYqHlFk5AKRYUUtuW0CKXH3NWlcZUngNwRlpF0cIpAWkmPW23HaAFLn6mrUe15DCYFD9jTfFbvbxPrPCxGq3ccNGKv5KEWraqBFx3Ej4xsG8fLtnemJieJV2zHOvULacdmz1CyDFqmLy2gNS5GlrxbLqkGImIy0gxYrH5bUFpMjT1orluIYUXmj7Nm0FDNzLMc74akUMs223btkibtM0rN8gYp4Tfg8RQ0rvHj0Nzebl5YnYmk8++tiw3kwhIMWMSt60AaR4o3OsUVSHFJ5/rIy0gJRYXvamHpDijc6xRikwkBIctBpr0U7qA4DCV1Du3bsX0RRf5SlXqjQ1a9zEsM3xY8cFxHBKfbsbIMWucu73A6S4r6kdi/EAKbyuaBlpASl2PO9+H0CK+5rasRjXkMJp6DlNPd924R9s2VvG1q3iCsqnTZsZZp4NH791y89EzMmtW7fCq2jKpMkCUjh2xe4GSLGrnPv9ACnua2rHYrxACq9tR1BG2sEHh2uBtIAUO553vw8gxX1N7ViMW0jhOBBOhMa3VCIlTLMjSKQ+27ZmCODgIFmjDLJG/fiqC8/vh65did+cHNhOnz4t4Irf4WMUzxJoF+sTkBJLIe/qASneaR1tpHiCFF5HcEba1L+eZ58GpETzsHd1gBTvtI42klKQwrdAWjb/NObe+JOGAhgYAHgPf2dOtAXbrStVvLgYi8EiEKxr9Llzx46QITgLLc+x1jvvEid2+7Hr9yKJG+d64eBbJxsgxYl67vb9//a+g1uKouv6+yevERREVMAERhQBA6BgAEWRLIoJDIAKKjnneJEkOUi65CwIcgElqICAZEFU4gNION/ahTX2dJrUoebeXWv1mp7qivt0d+0+deoUSUqweGZbWr6RFBjSfrCufcIj7cZjm4QkJVvpB5uPJCVYPLMtzSiSkqnHWUz1+DlLyxYUt3zwx1KvzrMpj+83bHBkX1i4QDl8K1v6FrmjXDlp1aKlQJuSayBJyRXB4PKTpASHZS4l5RtJQV9PXTwtDZY0UkTlmcJ6MmJqgSxfsTIXGGLPO37CRFnz7brY25FLA0hSckEvuLxGkZTff/9dxo8d53tgY74pkyfLt2vWCGxSSnIgSTFH+iQpZsgiH0kKkNtzaq/UnFdbEZW6s+rLwuWLzQA0y1aQpGQJXMDZhg0fJZu3/BBwqdEWZxRJibbr+V8bSYo5MiRJMUMW+UpSgJ7VI22r+e8mDGnNQDazVpCkZIZXWKlJUpzI5rR3j7M4xvghQJLih06010hSosXbq7Z8JinoUzoeab36blI8SYoZ0iBJccqBJMWJSWgxJCmhQZtxwSQpGUMWSoZ8JykwpG04s3GSIW0oQIVcKElKyACnWTxJihOowEgKNg1ctGChWr77YOXKUqH8HXJ3hYpS84nq0qNbN9n644/O2ktYDEmKOQInSTFDFvlOUoDimCkT5Nk5LyYMaQ+fPWIGuBm0giQlA7BCTEqS4gQ3EJJSVFQk91W6Wy3d1cuM3X4bNWwo2BG5pAaSFHMkT5JihiyKA0nBEuTJS6clDGmbrGgp/7t03gyA02wFSUqaQIWcjCTFCXDOJKVo40YpU6q0IijQoHzSvr3MnvWNrFy+QrDrMXYVbt6kaSIN9s/BPjglMZCkmCN1khQzZFFcSAqWIFsNaa0eac1A2r8VJCn++ER1lSTFiXTOJAX+SKA1+aJTJ98lxgcOHJDqj1dTaadPveap0dmc4h1DkmKOfElSzJBFcSIpQNRqSDtld/ZbaEQtHZKUqBF3r48kxYlLTiRF7xxco9oTzpJdYrZt3apIynO1a7tcLf5RJCnmyJgkxQxZFDeSYvdIW3R8sxlAp2gFSUoKgCK6TJLiBDonkgLvsdCijB0zxlmyR0ytJ59SeXLZA8ejaOOjSVLMERFJihmyKG4kBahaPdLWKqwnR84eNQNsn1aQpPiAE+ElkhQn2DmRlAH9+inCgVU96YamrzdWeY4fO55ulmKTjiTFHFGSpJghi+JIUoAsPNLW+NcjbT4Y0pKkmPE8kKQ45ZATSRkxfLgiHHB7n26oW6eOynP69Ol0sxSbdCQp5oiSJMUMWRRXkgJ0VxxapZYlPzq7hphuSEuSYsbzQJLilENOJAVLjzHdA+PZdMKuXbtUevhOKYmBJMUcqZOkmCGL4kxSgPCIHQUJojJ5t7kLBkhSzHgeSFKccsiJpKA4GM2CqIweVeAs3RJz4sQJ0VqUYUOGWK6UnFOSFHNkTZJihiyKO0mxG9JuPLbJDOBtrSBJsQES01+SFCfwOZOUhYUL5KbrrldE5dlatQV2KuvWrhWs5NmyebPMnT1HPv7gQ+WBFmTm6Zo15cKFC86WlIAYkhRzhEySYoYsijtJAcqnL56WBksaGe2RliTFjOeBJMUph5xJCooEESlb+hZFVEBEvI5X6jeQ06dOOVtRQmJIUswRNEmKGbIoCSQFSJtuSEuSYsbzQJLilEMgJAXFHj16VHmXfen5F+TWUqUSROWRBx6Ut996S5YvW+asvYTFkKSYI3CSFDNkUVJICtC2eqT9oqibXL161QwhiAhJihmiIElxyiEwkmIv+sqVK0Y9hPb2xfGfJCUO1N3rJElxxyXq2JJEUoCt1ZDWJI+0JClR3/nu9ZGkOHEJjaQ4q2IMSYo59wBJihmyKGkkBYa0bde1U/YpVWfXFFMMaUlSzHgeSFKcciBJcWISWgxJSmjQZlwwSUrGkIWSoaSRFIBookdakpRQbu+MCyVJcUIWGEn5559/5McffpC1334ra1av9j3gX6UkBpIUc6ROkmKGLEoiSQHyphnSkqSY8TyQpDjlkDNJOXPmjHzU9gMpf1u5hLGs1+oeHf/oQw87W1ICYkhSzBEySYoZsiipJAXoWw1p4/ZIS5JixvNAkuKUQ84kBcuKNfnAqp4HK1eWhypX8T0avPiSsyUlIIYkxRwhk6SYIYuSTFIggRE7Ric80k7aNTU2oZCkxAZ9UsUkKUlwqD85kRTt5h7kZOaMGXL+/HlnDYxJIECSkoAi9hOSlNhFoBpQ0kkKDGk//K5D7Ia0JClmPA8kKU455ERSRo0YqbQon3fs5CyZMQ4ESFIckMQWQZISG/RJFZd0kgIwTPBIS5KSdFvG9ockxQl9TiQFLvAx1QPX+AypESBJSY1RVClIUqJC2r8ekpRr+Ow9tU9qzqutNCqNl7eU/12KVitNkuJ/n0Z1lSTFiXROJOWrggJFUuZ8M9tZMmMcCJCkOCCJLYIkJTbokyomSfkPDqshbaeNXSJ1hkmS8p8c4jwjSXGinxNJ+fmnnxRJef+dd50lM8aBAEmKA5LYIkhSYoM+qWKSlCQ4kgxpJ++elnwxxH8kKSGCm0HRJClOsHIiKSiuRdOmaq+e7zdscJbOmCQESFKS4Ij1D0lKrPAnKidJSUChTmBI+8G69pEb0pKkJMshrn8kKU7kcyYpfxw/LnXr1JFSN9woLZo1kwnjxsuKZctl9apVnkfRxo3OlpSAGJIUc4RMkmKGLEhSnHKweqR9prCeHD57xJko4BiSlIABzbI4khQncDmTlHPnzqldjrWvlHR+6cztOkXknOLIj5hly1fKlKnT86OxHq0kSfEAJuJokhR3wOGRVhvSNlkRviEtSYq7HKKOJUlxIp4zSWn6emNllwJyop25PVzlAfE7Xn6pvrMlJSCGmhRzhEySYoYsSFK85RClIS1JirccorxCkuJEOyeSsm3rVkVQypQqLbNmzpQL5y84a8jTmL///lt2/vKL7N2zRy5fvhxIL0hSAoExkEJIUgKBMedCSFL8IYzKIy1Jir8corpKkuJEOieSMnL4CEVSTHfmdvXqVRk0YKDaX6jTZx2dKFhijh07Jp+0by+33HRzQkP0RNXHZNHCRZZU2Z2SpGSHWxi5SFLCQDXzMklS/DGLyiMtSYq/HKK6SpLiRDonkjKwf381kJvszO3kyZPS+LVGCcLR7sOPnCj8GwMSUa1qVZUWq5amT50mBSNHyf1336Pipk6e4pk3nQskKemgFE0akpRocE5VC0lKKoSSPdLWKqwnR84eTZ0pwxQkKRkCFlJykhQnsDmRlDGjR6vBe+7sOc6SDYjBdBQ2PIStzNgxY1Rb/UiKJl3wpGsN2OkZNjZ3lCsnmAbKNpCkZItc8PlIUoLHNJsSSVLSQw2GtDX+9UgbhiEtSUp6cgg7FUmKE+GcSMr+/fvlpuuul3dbv+0s2YCYWk89LZXvuVe2/vijHDp4MCVJqf54NUVE3DZKnPT11zlrU0hSDLgp/m0CSYoZsiBJSV8OKw6tSuyY/PnGroF6pCVJSV8OYaYkSXGimxNJQXGfdfhEbr25lHy7Zo2z9JhjQKKOHzuuWnHgwAFfknL27FlFuF6p38C11b/u/tU3v2smWyRJig2QGP+SpMQIvqVqkhQLGGmcjthRkCAqQXqkJUlJA/wIkpCkOEHOmaScPn1aXnuloRrAX335FWWgChsVOHTzOtZ/952zJSHHgLBgmbTXdM+G9evV9U6ffubakkuXLiljWmhb/MLpM2dk67btrsfGjUWqDrSjc+cuMvOb2a7HkqXLZP2G7409xo2fKEOGjTC2felg99WY8TJ8ZEFe92FUwRjBkU5/TU0zfMQoGTN2fF73YcjQETJuwsRI+rBu/XpptuDNhEfa8asnBVLvwEFD5etJUwIpK657rW//Qcp/U1z1B1Fvrz79ZfqMWXkth159+sm27Tv8hsmMruVEUoqKipT2IR0HbtY0cThzS0VSYFeDNmLFkld4qHIVub1MWa/LKv7334+pBwXOzuwHvlY0Dm+88ZZ069Hb9Rg4eKiMHjPO2KNP3wGq3Sa3MVXb8DLo0bOPsRinaj+u9+zdTx3ppDU1TfeefaR3n/55LQc8x336DYisD0PHjpRnZtZVRKX6rFoyYNyQnOvu2r2nYJA39T5Jp12du/aQ/gMG53UfvuzSXQYMyl2e6eAVVhrcS8aQlB+2bJGqDz+S8QHNS9QhFUmZMW2aIhAwsPUKjz3yqNKmeF1PFc/pnlQIRXed0z3RYe1XE6d7/NDxvvbryWANaTnd4411lFc43eNEOydNirM4c2NSkpTp0xVJwYolrwBCBvubbANJSrbIBZ+PJCV4TLMpkSQlG9Su5bEa0n6RoyEtSUr2cggyJ0mKE02SlH8xKZw/X5GUoYOHOFH6NwYrhcrfVs7zeqoLJCmpEIruOklKdFj71USS4odO6mvDLYa0U3Znv58WSUpqrKNIQZLiRJkk5V9M4AIf9iIftf3AiZKIaIJR++lnXK+nE6nLQD0wKs7XwA0GzZDc3HmFgiOfA0lKbtKDR9q269olDGk3HtuUVYEkKVnBFngmkhQnpCQp/2Jy5coVKV/2Nqlbp44TJRHZvm27IjFYcp1tIEnJFrng81GTEjym2ZRIkpINasl5Tl08LQ2WNFJEBR5pD589kpwgjX8kKWmAFEESkhQnyIGQlIMHDsqwIUPkjeYtpEmj15Uberii9zraf/SxsyUhx6SySUH1WEKNPXu0bxVrk/r16atIyswZM6zRGZ2TpGQEV6iJSVJChTftwklS0obKN2GuHmlJUnzhjewiSYoT6pxJyoLCQil1w41qANfLa1P91nyiurMlIcekQ1JWr1ql+gGyde7cuUSLtm3bprQs91SsqKZ9EhcyPCFJyRCwEJOTpIQIbgZFk6RkAFaKpLkY0pKkpAA3osskKU6gcyIpFy9eVIakICVPVq8h2PtmyuTJUv+FF6Rs6Vvkq4IC5XfkgzZtlH8RrIxZuWKlYGol6pAOSUGbsAMy+lPlvvuVfUrL5s3l5utvUEQsVzsSkpSope5dH0mKNzZRXiFJCRZtq0faTAxpSVKClUO2pZGkOJHLiaRozcMLdevJ5cuXE6V3+qyjlClVOvEfJ9iNGEan2FH42LFjSdei+IMpnJdfqq92NU5V38rlK+S52rWlQvk75N6KlaTNu+/Jb7/9lipbyuskKSkhiiwBSUpkUPtWRJLiC0/GF+2GtEXHN6dVBklKWjCFnogkxQlxTiRlxPDhSuswbcrUpJK7d+2m4u0ak3379ql4rxU0SYUUwz8kKeYIlSTFDFmQpAQvB7sh7ZGzR1NWQpKSEqJIEpCkOGHOiaQMGTRYkQ77NMigAQNU/KmTpxw1YmdiuJa3al4ciYppBEmKOYIlSTFDFiQp4cgh2ZD2DTl/6bxvRSQpvvBEdpEkxQl1TiRlwrjxioxMnjQpqeRJE6/tUYO9feyhVYuWKs9ff/1lv1Ts/5OkmCNikhQzZEGSEp4cVh5erZYlPzq7hqTySEuSEp4cMimZJMWJVk4kBXv3wMj07bfeSipZO0bDsmR7aNjgZZXnj+PH7ZeK/X+SFHNETJJihixIUsKVQ7qGtCQp4coh3dJJUpxI5URSMGVT8Y475c5ytyctzb169aoyOq10VwU5dPBgotYd23dI6RtvUukvXbqUiC8pJyQp5kiaJMUMWZCkhCuHdA1pSVLClUO6pZOkOJHKiaSguJ7du0ujV18VOHSzhsEDBymNya2lSgmW8TZr3ERwDs0LDWfpFt96r8RxTpISB+rOOklSnJgEHQND2vpLXlNTP7ULn5ej5353VEGS4oAklgiSFCfsOZMUZ5HXYqApafDiS4qUgJjoo1rVqnLixAmvbMU6npoUc8RLkmKGLEhSopHDryf3SPW5tRRRabqilcOQliQlGjmkqoUkxYlQaCRFV7V40SLBfjefdugg8+fNEziAK6mBJMUcyZOkmCELkpTo5LD80Mr/DGmLuvX5hhoAACAASURBVAmm5XUgSdFIxPtLkuLEP3SS4qyy5MaQpJgje5IUM2RBkhKtHIbvKEgQFatHWpKUaOXgVRtJihMZkhQnJqHFkKSEBm3GBZOkZAxZKBlIUkKB1bNQuyHtxmObVFqSFE/IIr1AkuKEmyTFiUloMSQpoUGbccEkKRlDFkoGkpRQYPUt1O6RFoa0JCm+kEV2kSTFCTVJihOT0GJIUkKDNuOCSVIyhiyUDCQpocCastBfT+6VGvNqJwxpv5owTtZ8uy5lPpMTFIweKxu+32hyE1O2jSTFCRFJihOT0GJIUkKDNuOCSVIyhiyUDCQpocCaVqFWQ9om01vK6jVr08pnaiKSFDMkM3DwUNm2fUdgjSFJCQzK1AWRpKTGKKoUJClRIe1fD0mKPz5hXx22fVTCkLbbkt5hVxdq+SQpocKbduEkKWlDZV5CkhRzZEKSYoYsSFLilcPlK5el7bp2iqhUnV1DtCFtvK3KrnaSlOxwCzoXSUrQiEZYHklKhGCnqIokJQVAEV0mSYkIaJ9qYEj7zKx6iqg8U1hPDp894pPa3EskKWbIhiTFDDlk1QqSlKxgCyUTSUoosGZcKElKxpCFkqH/xMHyxOynFVFpsqKl/O/S+VDqCbNQkpQw0U2/bJKU9LEyLiVJijkiIUkxQxYkKWbIAUuQhy4bmbBP+WJj1ySPtGa00r8VJCn++ER1lSQlKqRDqIckJQRQsyySJCVL4ALORpISMKBZFqf9pIyweKSdvHtalqXFk40kJR7c7bWSpNgRyaP/JCnmCIskxQxZkKSYIQdNUrw80prRSv9WkKT44xPVVZKUqJAOoR6SlBBAzbJIkpQsgQs4G0lKwIBmWZwmKchu90ibL4a0JClZCj/gbCQpAQMaZXEkKVGi7V8XSYo/PlFdJUmJCmn/eqwkBSn3nPrPI22+GNKSpPjLOKqrJClRIR1CPSQpIYCaZZEkKVkCF3A2kpSAAc2yODtJQTErDq1KGNJ+ngeGtCQpWQo/4GwkKQEDGmVxJClRou1fF0mKPz5RXSVJiQpp/3rcSApyWA1pp+ye7l9IzFdJUmIWwL/Vk6SYIYesWkGSkhVsoWQiSQkF1owLJUnJGLJQMniRlHwypCVJCeXWyLhQkpSMITMnA0mKObIgSTFDFiQpZsjBi6SgdTCkrb/kNTX1U6uwnhw5e9SMRttaQZJiAySmvyQpMQEfRLUkKUGgGEwZJCnB4JhrKSQpuSIYTH4/koIa8sGQliQlmHsh11JIUnJFMMb8JCkxgm+rmiTFBkhMf0lSYgLeVm0qkoLkVkNaEz3SkqTYhBrTX5KUmIAPolqSlCBQDKYMkpRgcMy1FJKUXBEMJn86JAU1mWxIS5ISzL2QaykkKbkiGGN+kpQYwbdVTZJiAySmvyQpMQFvqzZdkmI3pC06vtlWUnx/SVLiw95aM0mKFY08Oy8uJGV+4SIZN/7rPEM/ubnfzJ4rkyZPTY7Ms3/TZswSHPkcvp40RWbPmZ/PXZCx4yZI4YJFed2HUQVjZMmyFWn1wVRD2qHDRsrqNd+m1QdTEw0cNFS+W7/B1Oal1a4+/QbKps1b0kqbTqL/l04ipgkGgeJCUsaNnyj9+g8KBpSYSsFX16DBw2KqPZhqhw0fJTjyOeClPPqrcfncBenbf6BAE5HPoWfvfjJlavp+UH49afVI+4acv3Q+9u53695L8PGRz6Fz1x5SuDC/Ce8XnbvJsuUrAxMDSUpgUKYuiCQlNUZRpSBJiQpp/3pIUvzxiepqpiQF7Vp2aGXCI60JhrQkKdndLRcuXJBlS5fKmTNnsivAloskxQZIPv0lSTFHWiQpZsiCJMUMOWRDUtDyYdtHJYhK3B5pSVKyv5eKioqk0p13ScvmzWXunDly9uzZrAsjSckauvgzkqTELwPdApIUjUS8vyQp8eKva8+WpJhkSEuSoqWZ3e/3GzZI2dK3yI3/d506qlWtKvPnzZNz585lVCBJSkZwmZWYJMUceZCkmCELkhQz5JAtSUHrYUjbYEmj2D3SkqTkfi99t+67BEnRZAXEpXWrN2Vh4QI5fz617RFJSu5yiK0EkpTYoHdUTJLigCSWCJKUWGB3VJoLSUFhVkPapitaxWJIS5LiEGtWEfPmznUQFU1Yyt1aRt5+6y1ZtHCRXDh/wbV8khRXWKKLhJERyEY2x59//pkQ/sIFC7IqI5t6g85TUDBGevbqm7ftBx7Dho+Uvv0G5nUfMMDjCFq+UZbXp+8AGT58VF73oUevPlIwekxe96FLt55qhVIusl+wd3HCPqXjhs5qmiCX8jLN++WXXWXqtBl5LYdOn3eWb+bMjb0PSxcvkVtuujkxXmmSYv29vUxZee/td2TpkiWCcVEHkhSNREy/rd9801dwViHy/NrcJnEgDrwHSsY9UKH13YqoPDy5mpSu4D/I8Z4oPvdE+bK3SZt335MVy5ZLx887cwlyTPxEVRsESbnpuutJdP41zuKLqvi8qChLyvLG666TSm3uldKVSvEdV8LecQ9WrizdunSVLl27y85duwIbpuknJUMot2/brtgiGGOmB6Z49Iu8f99+GefPtL6w0g8bOky6d++Zt+0HLoMGDZbevfvkdR/69+svOMKScxTl9urVWwYPGpzXfejerYfgmYgCr7Dq6Ny5i4waOSqv+9Cx4+cyZszYvO7DJ598JhPGT4i9D9OmTFVLkvV45fVb5b77pc1778uPP/wgV69eVaMpnDPu3bsvw5HVOzlJijc2gV/BHKsWNl42+RrWb/he5s1fkK/NV+1e8+1aWbR4SV73YfmKlYIjn8PCRYvl27Xr8rkLMndeoeCZyOcwc9Zs2bzlh3zugkyaMk227/gpr/swbsJE2blrd6x9OHTwYGKc0uOV9bfyPfdK5y++kC2bNyeIibXBJClWNPLsnCTFHIGRpJghC5IUM+RAkmKGHOImKUeOHHElKPfffY980amTbCraJFeuXPEFiyTFFx6zL5KkmCMfkhQzZEGSYoYcSFLMkEOcJOXo0aPy6IMPJZGUTp91lKKNG1MSEyt6JClWNCI+/+uvv6RDu3Yyfeq0RM0b1q+X9h99LFUffkQeuL+yvPT8C7Jk8eLEdesJSYoVjXjPSVLixV/XTpKikYj3lyQlXvx17XGRlGPHjqkx7J6KFaXjJ58KvM+m0pjoNtt/SVLsiETwHwZBk77+Wh5/9FGZO3uOqhFCbdGsmdR5ppZyblP76WeSGOjHH3zoaBlJigOS2CJIUmKDPqlikpQkOGL7Q5ISG/RJFcdBUuDjZOyYMbL+u+/k8uXLSe3J5g9JSjao5ZAHbPLDtm2l1lNPC5yxIUD9ddft5WXq5ClJJcOl8L0VKyXICjz3WQNJihWNeM9JUuLFX9dOkqKRiPeXJCVe/HXtcZAUXXdQvyQpQSGZRjn//POPvNnyDalR7Qn5+++/VY5du3bJneVul65fdnYtAWz05utvUESlwYsvJaUpLiTl4MFD8svO4NbBJ4EU0Z/f9u+X3bt/jai2cKrBMr8gl/qF00r/Unft3i379x/wT2T4VTwLeCbyOez46Wc5cuRoPndBtm7bLseOHc/rPmz54Uf548SJvO7Dps1b5M+//gqsD1yC7AMl9iiAg5o/jl+78aEWe7jKA/JUjRoCAuMVGr/WSJGUW28ulbQhU3EhKV79ZjwRIAJEgAgQgSARIEnxQPPr8RMU0cBW1TqMHD5CxS1asFBHuf5ifk+vK99tWfNOkuIKFyOJABEgAkSACLgiQJLiAguWYt1aqpQ8V7t24urpU6eUHUq9Os+6OrBJJBSRzZs2J0jKzz/951yIJMWKEs+JABEgAkSACPgjQJLigg+WYEETsnzZssTVX37+WVlAX7x4MRHndbJj+44ESdm3d28iGUlKAgqeEAEiQASIABFIiQBJig0irOCBFgXbVINUZBM2fv+9IillSpUWK6khSckGTeYhAkSACBCBkooASYpN8lg2DC3K88/VtV1J/++ihYtUGXDsZg0kKVY0eE4EiAARIAJEwB8BkhQbPp926KAIBtwBZxvaffiRKqNPr95JReQzSXnrjVZSt04d18NOxpI6HfOfBYWFMmTQYDl9+rRvS+APZ9bMmWrJOVZnfdK+vfz222++eaK4iKXv77RurXCHXZRX6N+3r6tstMz27QtuV1KvNtjjgTmcIKL9LZo2FTwX8MZs1S7a82DVHPK0bN5cmjR6Xe0Xgv1E4gqnTp6S8WPHKYeN6EP7j9upHWovXbrk2iR85OB+8zrOnj3rmi/MyB+2bJHePXsKnuHmTZoqD9kLCxfIhfMXPKs9f/68jB5VoBxWNn29sXTv2k1OxLg0FnvG9OjWTT2f6AM8fy9etMjzXoJXcC8ZID5bb6qegGVxAc9zly+/VJv1eWU/c+aMDB44SMkN/e7Xp6/4vQe8ygkrHrsfw5X+k9VruFaBNut3kP331Zdfcc1jjyRJsSECD7LQpPTq0cN2Jb2/eMlWKH+HlLrhRjl44GBSJjz491W6Wx1rv/026Zrpf+C8rmzpW+ShylUcBzzxmhbwAoYTPr3K6vAhbz8W8B78RNXHVNpKd94ljz3yqGD5eOkbb1Ivurj6tvXHH9VWC7oP2pmgW3saNWyo/PO4yQdxv0boEwYDOAYU3C9oO+75alWrqmlU/IdjRO13yNqXvXv2qHsLaeCeG1tN4DnC9OvECROsSUM/B5H68vPPE23Gzq+qDzeXUn2q9+xzrsQXL2ItL7ff33//PfS26wpgR1fryacS7cF9YO0D7vnDhw/r5InfbVu3JpxSot+PPvSw3HTd9XJ7mbIyd841j9uJxCGfoC01n6iu+oA2wAUE+oDpeOALdxDHXXyj2PegscvCz4VEyF1KFP/e2+8kZJOItJysW7tWjSVoO7ZceeSBB1V6jC+rVsa/+zk+uvGMon3lbi1jafl/pzB5uO2WWx1jBu5FL2LzX+5rZyQpNkTwAAB0MNxswoply1X+Nu+9n012I/Ng0AEm+CLOh7B//355umZNNcBVf+xx1XY/ktLo1VdVmkEDBiT836AMDETo97q16yLvNgZlECW8BPDFgXb4kRQMRngxmxCg+cCLFI4Qd/7yS6JJ+CqEJgJ9wa81YOsJbC2BgQhL+PWXLvLjZQayAoP0qALkX77sbYKBxErw8BXb5t33VB+wXb09QAbVH68mO3fudD28NDD2coL4v2XzZkX2oBGx3jvQ5kBTDDnAF5Q1gJyhD7j3ZkyfnrgEbQziQTztH1+JRCGcwIs3SO64sWOTiC20dFpj/VHbDxw1l7+tnLxQt56rDCCbuAPIHvDX7yd7e/Cs3F2hoqAfVpcXeBcBD3w0Yi+5OAOeYbSvwYsvupKUc+fOqT66bRGTSbtJUmxo6ZsGaqpsAl7MYJUmTBVk0363PHBmhwcKW3WbHqAWvqNcOfUQQ1sFtTDa7kVS9EosqLTtAV+Z0KbgZRdlKJw/X7X5tVcaCqYb3m39tvpvHWjs7aly3/2C5fGmBC+NAQbBinfcqZ4R64C9etUq1Udov+wBy/ghQ0wBRRm8+oAvSGgVMFDYA+49aLVMCV4aA2CPLTxA/qzTb9/MmqWwxvSOPeDLHnLAMxVl8OoDnGtCBvhatwakRztBJk0MIPHwWt661ZuKyKOt9gBiifhRI0baL6n943DNbk7gSBhixLKlS1X7xoweLXhPuWlSQGbRzmxnJXTzSVI0Ev/+vlK/gQIWXwyYnskk6MFFb0KYSV6T0+LLAzcb5kZND5hGgE2JJol6yseLpOALDX2zOu2z9rFhg5cVUcn0XrCWkek5NvmCJkVv9oWXGdroR1Jwv2ZLrDNtX67pX6z3vOrPyZMnE0X17d1HxWFbCbcAtT4GJGhcTAh6GsU6wJs+ONpx05uiWu21YIuFew3bf7iF++++R2n33K7FEac/KvWzgjZg+hZ9yFYbHmY/cP9iu5RKd1WQE3/8oeyu0FZ7aNWipeqDmx0QCCaed2h64whoN9qPfqA/9V94wZWkYLoafQPhyiWQpNjQ015lAS6MLtMNYI1QfWEeu7gFqFyBx+RJk/Kua23ff1+13YukaNW910sZ2iP0HcvK4woweEQbvEiKNsiG+jsfAqZUoYmwDizQPvj1UWuT9vxqxn5L0FzBfskaTB4cre3EOdqKKR3YX1kDyBe0h1Ytl/W6nnp0symypoviHO9caIKeqflkUnVa8zZ86NCkeBP+QDOC+xyaCITXX3tN/be3ze3+sqbBdDZstby0TNa0QZ9D6wxNkDZox8IJN03KyuUrVN9mz/ompyaQpNjgg/EebiIcUId6qXyt2Q4cOKAe9lzVWtYyTTrXGiLMX2N+EV/2mKvHA4e+mxxSkRS84LAhpNfDjpUmuBeg1owrpCIpIGBoI14Wn3X4RFq/+aayH4I6eNu2bXE127VeGHOirfhStAYYaLpNn+g0gwYMVPlM0FLC1gN9sNud6b6B2MIRJKZO0N4obWk0Xn6/mMbEvYI+2AcQEBc/Q/jPO14j7XEb/oOgwCM4bJjg8sEa9LTUgH79ZOmSJdfkMGeOp3bImjfMc9wfwNdqj6Xt4az1wh4FsvGbZoZ9INJYPZpbywjrXL8PsYpNB2hG3UjKzBkzVBvff+ddgd0Qxg2cf1VQIIcOJi8q0WW5/ZKkuKDS/qOPFbi4CZ6tVTvBGF2SCoQFq2sIr7gG2AvAmh4HrMxh7Y8vYeCDo1uXrsao4e0ySEVS8CXp9oDpcrSBW5xTXSlJyuHDaoDHCxvqeMgHX/laPljKCyO2uANUwy+/VF99/W7ftj2pOfgyg8W/V9D7YU2aONErSSTx0P5gBQ+eBeu+XKj8+w0bEphr7PUvNiqNi2BhmShs5d5o3kKt9oH2AQOgnWigb2gv3nleQU/LYflvlAGaTPQBdkmY+oO2BwabG9avdzQDy6s17vZfPO9Y3BB1gP1MjWpPqKkyaD51cCMpWK2EduO59Qp6Wq6oqMgrSeDx8J6OlTr4QLUGL5ICgoh7DcQM9z/eS3jXapngXkonkKS4oIR5ZjyoGky8kD5o00bWrF4tWBKHBwODFpZSQl2XCSt0qS4voqDetaqAcQ5LcywJBE7wJWFiSEVSQDAxTecVMOWH/uGrLK6QiqSgXfj6svu9wMoYzBej/fav/jj6Ak0j2tK7Zy9H9VhJ47c6SW/4OWHceEfeKCO0JmHo4CGu1WLwxvHTjh0CrSwGV/i20C9naFeiDvjIwCCBDwzgDBlg1Rh861h9buC9h2sgYV5hYP/+Kk0mU+FeZWUSD0zRB0yD4AMJhBzThngP4963BpBhfDxiSgXaC8gBU9YwBsa7HJrTlSuiXcKLlWAYsGGnYQ1uJAXTKJCDn42Z3rrFjaRZyw/qHO97uOfAPWS1YUL5XiQF17ACyTqtC401xlHIEX2EP5tUgSTFAyHc+JjTxJQPwLQeWF4Jg0y8iEp6gJMwYIOXnokhFUnBiw5GaF4BX7/on9eg5JUvyPh0SIpXfRh4cA/j5QyDt7hCwchRCkdM81jJrm4PVvzgBegVxnz1lco/ZfJkryShx2OJOu4FqKz1Eul0K8W0GwZWPCcYROMKqBt2PdppJbQS+MpHwDX0Dwa1XgFTiEiDr+S4AtoJLRamENAWfFC63VNu7cMAiTxRroTT00+4f+zBjaTgOUUb8QHsFfRSfmxmG0WA1gP3L7SF9uBHUuxp9X98QKGPuP9SBZKUFAjhAYbGAF8OmPvEAx7nSyZFc2O5rFc62L9oYmmMrdJUJEXPzXu1XRu6xTnNkAtJARxaNWxX79ugCu0vtGx4IeHL0Mv2B47FQBa9ni04h0MZdvuD0BptK3jE8OGqftj7WL8Mbcl8/2KqC32w+l3xzRDyRf1sWFe2YZqwyr33edasiUHRxo2eaaK8oJ+NTKZwMO0COUThZwQuBGBvBfsZjCUgU9ZDG4zrONz/+LDAR4XdINiKa7PGTVQfrBvYWq8HeQ6CDe0TyAh8ttgPrLCCEa+OT/djCB+IkEMqgkmSEqQ0S2hZ2umZCXYPdhHoF7HX6p6unbuoBwXOqtwCDIXxINltKNzShhWnX8Req3tS1YsVZ+hDHE7p9DQNCApevl5BywkGkW4B+dEHvaLALU1YcZqogqCkeqH6tUGvJDPFkBZTKMAUz4AOerWJl/t+aCAwYFntKnTeOH7nfDNb9QFTV+kGrb1IZ1FEumV6pQMBBMbpHrCnQYA2y4+0w74D09RepN6rPdnET5syNe32o5/pesMFCUP6VFpJkpRspMY8CQQwp42Hyb6UMZEg5hM9+HmRFG1k52XrAHUknEXlMjjlCkGuJAV9UNM9Ee+9Al8veAlhisdLg6Kx0WndbB3wIsbXPTxtRh30NBWMBbPVoOg242saA7yb7wudJspfPfhYDRi1zYmbrQM0AbBpgZt6U4L2czRsiLuNkFs7YfsEA1A9zeWWJqg42DDCNYDXgfsaz4i+rj+GOn36mYq3G2ejXfAvhPsImrkoAlaDYc8trwOaFLwj9fV07m+kwTuJ0z1RSLAE1AHjM7eAl7bWNOBlbmJIRVLwwOOLBNMNdiICx2J4gbh5o42yr6lICny8eA2gWpMBLUCUQS9VxLJ1r7ZZ2wMSiZcWtHL2r0O9BN7NG621jKDPtddPGM2n+tpD3fb7x9oeDPq4l6Cmjyr4tQdaLb04QA+MaJf2MeJmtAkijz64eaMNq09+fYChOLZMQJusU2h+ebQhfK6u2oPqr9bq2MvTdixuvo+gNUKfoeEzIXjZpHiNG/hgAelHH/BxkipQk5IKIV5Xqkd8fWBpNpzdYTkovDnqDa/woEXxVZKNKFKRFJQJHyh4YLAsE6sxsG8LBlkYSGOu1br/TDZtyDVPKpIC3yjwAAmHZzDwhXywokRvlgljzShU27qfetk2jGFHDBumXqZ4odoPqy0E8mKnXsgB8/RYNguvwSC/WM0BIumlDdP1BvmrtQzY6BD3vL3t+r/VRgYkCgaN0M7hCxir/mDYiFVN0DZihU+UfmuwZBerurC7N4gsHLgBU6ww0gQFOzvbg3bBgPyYmoJxPFa34VkAHlE6csMyXOCKaR1gij6gPfDBoacL7HuKYZky9ibClz1sCDGFCINPTHti6TLuyyhsOey4uv33IilI26JZM/U8oP/w+o1VSnjvYpUQpnui9ILt1nYd50VSsIcVNOzYRgHPC95L8CGEVVp4znHvpdKwog6SFI00fz0RwAsbqmq8pHBz4YCl9/PP1VUbf6XzpexZeMgX0iEpaAK2b9fLM3Uf4/KpYIcEgwZIiNfggK90uO/HvjG67fiFGhaqfOsyU3vZYfzXXnqtbXE7x/Joa8B9BANZqI6t6fG17Db9YM0b9Dm+YK1t8DrHFgw6YCDHc+GWFrYcUduiYKk3BjS39uBegS2Km50QBj9MN0CzZc2LpclRkizgikEZUxvWduhzOP8DsbVrTvTmiTqd/tVTJKYQFPTPj6TA6BZaPHv/sXWLKZ6X0QeQDbiisAdoSfChBD8pVhngucdHYDraSZRJkmJHlv89EQDrxRf50aNHHb4JPDPFfAFfUfgqd3sZ25sGa398deIBgo8Fk8mXve34j2kSbAYJ41IvQuOWL+g4zGED81SH14sW9xh24IUc4OPDPv0TdHvdyoMWJFX7cd0+4MGHBFT1WA2GqTZoLfC8xBXQHvgImTp5ivJlhCXc0O6kc2/DmzT8WKAvKCOuAJINTNEHTDnhF9j7DXK4/3HvaDnAlUA6thJR9xH3j913ir0NmMrChyK2JcEGqvkW8O7V44aXQbZfn0hS/NDhNSJABIgAESACRCA2BEhSYoOeFRMBIkAEiAARIAJ+CJCk+KHDa0SACBABIkAEiEBsCJCkxAY9KyYCRIAIEAEiQAT8ECBJ8UOH14gAESACRIAIEIHYECBJiQ16VkwEiAARIAJEgAj4IUCS4ocOrxEBIkAEiAARIAKxIUCSEhv0rJgIEAEiQASIABHwQ4AkxQ8dXiMCRIAIEAEiQARiQ4AkJTboWTERIAJEgAgQASLghwBJih86vEYEiAARIAJEgAjEhgBJSmzQs2IiQASIABEgAkTADwGSFD90eI0IEAEiQASIABGIDQGSlNigZ8VEgAgQASJABIiAHwIkKX7o8BoRIAJEgAgQASIQGwIkKbFBz4qJABEgAkSACBABPwRIUvzQ4TUiQASIABEgAkQgNgRIUmKDnhUTASJABIgAESACfgiQpPihw2tEwCAEjh87Ls/Wqi3NGjeRf/75x6CWBdOUDevXyzezZsnePXuCKTDNUr78/HN5oupjsvXHH9PMUTKT/XH8uJLPsqVLSyYA7HUsCJCkxAI7KyUCmSOwoLBQbvy/69Sxb+/ezAswOMemok1S+sabpMp998vpU6cibeltt9yqMO3ds2ek9eZbZZcvX5Z6zz6nsJoxbVq+NZ/tzVMESFLyVHBsdvFDoGvnLtLo1Vc9O3b48GF55IEH1UBx4cIFz3T5duHKlStSo9oTavCbPeubyJvf5r33pdJdFeT7DRsirzudCnFP4N4wIWzbtk3J6c5yt8vJkydNaBLbUMwRIEkp5gJm9/IHgQcrV1bTOfnT4mBaOnXyFDXwVX/scQFhYfgPgb/++ktuuu56af9xu/8iYz5r2by5klfnL76IuSWsviQgQJJSEqTMPhqPwM5fflEvfticlKSAKYTK99yr+j53zpyS1PW0+jpzxgyFjUkk5Zeff1ZtuuWmm+XYsWNp9YOJiEC2CJCkZIsc8xGBABA4f/68TPr6a3n80UfVi79C+TvkndatE8fnHTslajl69KiKb/v++4k4fQJ7FeTbsX2HXL16VTBt8tLzLwi0M5gieu2VhrJm9WqdXC5evChjx4yR52rXVmkeqlxF3mjeQhYvWpRI43WCdnTr0lWqVa0qVe69T/1279pNDh086JXFM37VypWq35g+QJvsYd3a5I364gAACvpJREFUtapf3637Tl1aumSJvPryK/JwlQcEbUYfFxYuUH1GAmhipk+dJi/We15df+D+ytL4tUbK4NNLS9O7Zy9Vx+ZNm5OqP3HihIof89VXKv7AgQPS6bOOUv3xaqrfVR9+RD5q+4GgjW7h3LlzKj/k4mdno/s4dPCQRDHQoAwaMFDurlBR4fPogw8lykJ5BSNHJdLqE8h9+bJl0qhhQ9V3yP7ll+rLvLlzfQ2tf/zhB/miUyd5umZNRRiBGfDr+mVnWb1qlat2q9aTT6l2jRw+QlfPXyIQCgIkKaHAykKJQHoIYEDVxrBuvxgwdNi5c6dKe+vNpXRU4rdv7z7q2qgRI9XqH5SFL927bi8vpW64MVFHrx491NcvplZ0GhAja5oe3bolyrWfjB87Thm4Iu+tpUrJvRUrqXrw/+brb1BkwJ7H7z8GeeR9/513XZNNnDBBXYdNRvuPPlbnaCv6hf4hLw4QtzNnzkjdOnUSadAva5o2777nWocecO2anP3796uynqpRQxEh9Bd1wdAW9eu68TugXz9H2X///XciDVZmeQXdx1fqN0gkATm1lm8/b96kaSItTk6dPCV1nqmVyIO+V7zjzsR/EBC0xx5GDBuWSFO29C1KnuVvK5eIgzGzm7ZkyKDBKg3wZiACYSJAkhImuiybCKRAAF+/ly5dklkzZ6qXPqZ78F8fmA7RIR2SAo0EBpnJkybJ//73P5UVg1OXL79MDDwYsJAOBMmaBjYGejCEka49rFi2XF3HwP9VQYGcPXtWJcEAiUEaeTGo/bBliz2r539oYpAP/XcLegBHe0HORo8qUAMy0oKUQPug2/xMzSelTKnSAs2H1lwgjR5QkW7L5mRtCcpJRVLQp3K3llHkr6ioKNHM33//XT5p3z5Rv12TlAtJgdYH94CWGwiavifwa9UK4RwaE/QP949VIwRZ6P41bPByou04gWYIfQOu8+fNSypz3759MmXyZBk8cFBSHv1n29atqj7Yy5w+fVpH85cIBI4ASUrgkLJAIpA5Apie0YOMV+50SArKwNSPW8D0DK7jWLlipVuSxLTTuLFjHdcxvYK8IA5uod2HH6nrrd980+2yIw6Dm27PTzt2OK4jQpMUpNPTLvaEDV58KVEOjHDdQoMXX1RpoEmyBz2Ie2lSUPfzz9VNGsR1GSCZmP5BGmixrCEXkqLLwZQLyvazSSmcP1+lAeHT5Eznxy80IVoLhNU5OoDIouzWrdKTl86H3wvnLyiDXuR3I37WtDwnArkgQJKSC3rMSwQCQiAokoIvfqv2xdq8zzp8ogYl2DlgcHULn3booNLg1xpg64IBqdKdd7najiDturXrVBq0AbY2qQK+8lEmDq3RseexkhS36Qqkx9c+yoBGwKsc2HcgTYumydMkyJ8OSfHzC6K1HXZboahIyttvvaX6hj56BdipoP+wHdIBjvMQB5KVzZJ2TEUivx82ui7+EoFsESBJyRY55iMCASIQFEmB2t8rQIuAQQVLSL1Cz+7dVRrYiliDns7x05LAbwbKx2H9YreWYz3Xfb7/7nus0UnnmqRAC+QVoPVBnTAC9gowEkYaNz806ZCUw4cOeRWtDFxRth2bKEgKpn60Dcn2bds92wg7I7QRWicdoMnShrnAAEayXuRV57H+woYGZcLwmIEIhIUASUpYyLJcIpABAnrA9luCnM50D76qvYImKfYvfmt6TVI+bNvWGi3vtn5bDUiwRylf9jbPA4MWjnQco2FVE9JiZZNX0CQFq3i8giYpWPXjFRIkpWFDR5J0SIrfNgRaS2OfNomCpMAuRmN+e5mynnKBlgnp7EQOZPKxR66tLMN1rARDf7CCK1Vo0ayZKhMrgxiIQFgIkKSEhSzLJQIZIBAUSfFaJYOmaJLyQZs2ni3zIilYnoxB7J6KFdX0CAZ2vyMdTcrX46+t3MG+OV5BkxQ/DZEmKVhm7RVyJSl+GoY4SYpegQTZYBWSn0xwDd517QEEbNLEiVLrqacThAekBnsaudm46PytWrRU6Tt9+pmO4i8RCBwBkpTAIWWBRCBzBEwnKVqT0vGTTzPvnEcO7WkWX+9eoSSQlDGjR6vB3roEWeORynAWRrEgKDjcVmTpctL9BbnEVJ9ekg7i42Xn0/T1xqpe2OQwEIGwECBJCQtZlksEMkDAdJIyaMAANSAF6RcDK4wwuGLliXVJrRW2fCYpVhsdPz8pmC4BDtmQFNikaJ8tixamdsRnxdbvHDtCaz8rWKruFmo+UV21282xnFt6xhGBbBAgSckGNeYhAgEjMHf2HPXCh68Pr5COTUpY0z179+xR7VNf7D5GpF5td4uHXxGUh+O3335zS5JYgpyP0z1YMaP7h9VRXkFvruhGUuDZF2XYbYSsZX38wYcqjZ89kjV9uufa2Nbq9VjnBanUy5q9lrPrtPwlArkgQJKSC3rMSwQCQuDbNWvUQANPofBB4RbiJCloj7ZZgIGq35JVryXQ9j7BzgPeWzEIL1u61H5Z/c9nTQo6gOkS9M9rBczK5SvUdaRxIykjhg9X1+s9+5wrPojUS7/hWA3bBvgFq8bKbRsCa9733n5H1e22tNlqC2N3Ymctg+dEIFcESFJyRZD5iUAACGDQx+oMDFbYmwUvfhgtWr/A4yYp2FhOtxFu9WFL8fNPP8nuXbtlw/r1gn1csLzZvnzZDx7tKdVrR918Jyna2y1sPAb27y/QSP35558C53XwWQJX9NiHyIuk7Nq1S13DdWx9gP2EsK8P4q1B+7eBB1lo07CcGHKBfLB3D+xGYKCM/zroPY7gJA/3GVYj4fh196+CbQhAeqAtcZuq0o7g7qt0d0bLlnXd/CUC6SJAkpIuUkxHBEJGQBuSYkDSBwYdHeImKWgHbBWsS1Z1O62/ft5RdV/0LwZI5PUyns13kgLy+fprryXkacUJ5zA+hRt7nLtpUoATNjW056v99DMaQvULrRSmhrAtgD2t/g+iBJKkw5xvZnumRR74X/HyXtyk0esqL7YFYCACYSJAkhImuiybCGSIAAYsrKDBzr1Y9mtVteMLetiQIUpjYS+2aONGdQ274HoF+C5BfkwxeAVoRFQaD7f5Ot/G779X+9Y0a9xEDcLwEdKvT19BvN9yXZ1f/0IzACKGQdHNvTo0DmiP3WW9zo9fODFDGuw/4xWwasUrzYzp09U1aBCsAZos5MHhFzYVbVJplixe7JoMUyzAHkt6QUqAWYd27ZT2CRkwvYc6oPFwC8AT02HwbwNndLA98fLyin2UJowbL2+90UrJBfVh3x9oPtw0IsAcGjCs3gKZAvmAjQu80eJ+cwuI1zJD3xmIQJgIkKSEiS7LJgJEICUCepM++86+KTMyQSwIaF869V/wdrAXS8NYabFEgCSlWIqVnSIC+YMAbDS0a3fsrstgLgLQfGFvJtir+LnhN7cHbFm+IUCSkm8SY3uJQDFEQNumYG+ZTKaLiiEURncJU5GYmsN0FQMRiAIBkpQoUGYdRIAIpEQANi1YmQI7FAbzEDjxxx/KrT520/Zbgm5ey9mifEaAJCWfpce2EwEiQASIABEoxgiQpBRj4bJrRIAIEAEiQATyGQGSlHyWHttOBIgAESACRKAYI0CSUoyFy64RASJABIgAEchnBEhS8ll6bDsRIAJEgAgQgWKMAElKMRYuu0YEiAARIAJEIJ8RIEnJZ+mx7USACBABIkAEijECJCnFWLjsGhEgAkSACBCBfEaAJCWfpce2EwEiQASIABEoxgj8f/qAeFHOMEhtAAAAAElFTkSuQmCC[/img][br]2. Sample response:[br]a. The tank started with 80 liters of water, but the water is being drained at a constant rate of 2.5 liters a minute. t is time since the the draining begins.[br]b. w(t) represents the amount of water left in the tank, in liters, as a function of time in minutes, t. w(t) is the output.