User-Agent: Microsoft-Entourage/12.36.0.130206Date: Sat, 18 May 2013 12:51:24 -0700Subject: A Special Earthlike Orbit: NEO 2013 BS45From: Daniel Adamo <adamod@earthlink.net>Message-ID: <CDBD29CE.119B8%adamod@earthlink.net>Thread-Topic: A Special Earthlike Orbit: NEO 2013 BS45Thread-Index: Ac4/d+2VOB52Z/kkzkmo++P8Zp8OqQUiSX3jMime-version: 1.0Content-type: multipart/mixed;	boundary="B_3554035550_20388410"> This message is in MIME format. Since your mail reader does not understandthis format, some or all of this message may not be legible.--B_3554035550_20388410Content-type: multipart/related;	boundary="B_3554035550_20362627"--B_3554035550_20362627Content-type: multipart/alternative;	boundary="B_3554035550_20414160"--B_3554035550_20414160Content-type: text/plain;	charset="US-ASCII"Content-transfer-encoding: 7bitATIG Members-At heliocentric (a, e) coordinates (0.998 AU, 0.084) on the V-plot sent lastmonth is the newly discovered NEO 2013 BS45.  With a semi-major axis nearlythe same as Earth's, this NEO's heliocentric phase rate with respect toEarth is so small that some very strange things happen to its orbit as itcloses in on our planet.  Read all about 2013 BS45's remarkable orbit in theattached PDF file.Could a small NEO in an orbit like 2013 BS45's be captured and retrieved bya robotic spacecraft with ion engines?  Such a target would not be easy tofind with enough lead time to launch a rendezvous mission before it escapesthe reach of our current retrieval technology.-DanFrom: Daniel Adamo <adamod@earthlink.net>Date: Mon, 22 Apr 2013 09:39:16 -0700Conversation: Near-Earth Objects (NEOs) In Earthlike OrbitsSubject: Near-Earth Objects (NEOs) In Earthlike OrbitsATIG Members-The attached PDF file is effectively a 2-page caption for the "V-plot"graphic at its conclusion.  To clearly view annotations on this graphic,you'll need a zoom factor of about 250%.  As humanity begins to explore themost accessible interplanetary destinations in an era prior to the firstcomprehensive NEO survey, a current V-plot is akin to maps of the New Worldpublished circa 1500 AD.As you study the V-plot, be sure to note the location of 2013 BS45.  Thisrecently discovered NEO is in a very interesting orbit and will be thesubject of an ATIG upload in the next month or so.-Dan--B_3554035550_20414160Content-type: text/html;	charset="US-ASCII"Content-transfer-encoding: quoted-printable<HTML><HEAD><TITLE>A Special Earthlike Orbit: NEO 2013 BS45</TITLE></HEAD><BODY><FONT FACE=3D"Arial"><SPAN STYLE=3D'font-size:10pt'>ATIG Members-<BR><BR>At heliocentric (<I>a</I>, <I>e</I>) coordinates (0.998 AU, 0.084) on the V=-plot sent last month is the newly discovered NEO 2013 BS45. &nbsp;With a se=mi-major axis nearly the same as Earth's, this NEO's heliocentric phase rate= with respect to Earth is so small that some very strange things happen to i=ts orbit as it closes in on our planet. &nbsp;Read all about 2013 BS45's rem=arkable orbit in the attached PDF file.<BR><BR>Could a small NEO in an orbit like 2013 BS45's be captured and retrieved by= a robotic spacecraft with ion engines? &nbsp;Such a target would <U>not</U>= be easy to find with enough lead time to launch a rendezvous mission before= it escapes the reach of our current retrieval technology.<BR><BR>-Dan<BR><BR><BR><HR ALIGN=3DCENTER SIZE=3D"3" WIDTH=3D"95%"><B>From: </B>Daniel Adamo &lt;<a href==3D"adamod@earthlink.net">adamod@earthlink.net</a>&gt;<BR><B>Date: </B>Mon, 22 Apr 2013 09:39:16 -0700<BR><B>Conversation: </B>Near-Earth Objects (NEOs) In Earthlike Orbits<BR><B>Subject: </B>Near-Earth Objects (NEOs) In Earthlike Orbits<BR><BR>ATIG Members-<BR><BR>The attached PDF file is effectively a 2-page caption for the &quot;V-plot&=quot; graphic at its conclusion. &nbsp;To clearly view annotations on this g=raphic, you'll need a zoom factor of about 250%. &nbsp;As humanity begins to= explore the most accessible interplanetary destinations in an era prior to =the first comprehensive NEO survey, a current V-plot is akin to maps of the =New World published circa 1500 AD.<BR><BR>As you study the V-plot, be sure to note the location of 2013 BS45. &nbsp;T=his recently discovered NEO is in a very interesting orbit and will be the s=ubject of an ATIG upload in the next month or so.<BR><BR>-Dan<BR><BR><IMG src=3D"cid:3451726286_37983817" ></SPAN></FONT></BODY></HTML>--B_3554035550_20414160----B_3554035550_20362627Content-Type: image/jpeg; name="image.jpg"Content-ID: <3451726286_37983817>Content-Transfer-Encoding: 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jkSWk2xnWCTQTlEVulF0rgMLftyCURlmM9MjQmgIl8upI+Hg/dlSwe7g2cczBww9ODeqI6vwUE6P5BVhnmEUcR3HPZvFtMMxzbNJR2prK9NcLRz8vWG8ZHWu51lA5HuiS4nvW32n6bMRJ2tvBzjIymZhdKJ7glCwz2PeDdL59ygzEzftJzADDz9MvxZ8xGd4pOUFZSBcAYnsecjT19hqzv28qeJj48GHrwYefZm7DXees+Gnj4ffvZ44BFWP/evTNRm1OVF5rtaXK4KFfibX7TU3J8ZFHOjpfv1rfE/J5/999nLF9dHarOyf3v9+r+//vbrx1/+++f//nj/+59vf/3vu1//ef/7P+9+++fnP//5+Nufr97+59W7v16+/v3Zs58fPvrtyePXYzdTfLy6CvJH62pbM7NP6Rm6Wpy21j38tPeev62XsYohuTrWhejyEjwSsoKyEOLhVzbSMPLk6pMH3ROPuyZqE5BFZHcKWsfqRm7V32hJbxqqvD7edPvF1efvht/eaR5/3P3oVvNtjP0hLbPam/p0oGQAW+DTe89gGW20hWzngK3eKUh3VA2Z/hkF4egZBUjpL5tfinGODLHzJ7NFUkp7SvKH9RtnrSd0wuvg0JCnKQRTCGweUrbcuVGf9U+Y0kN311ivxoRu9oyvln09e9HnQgYCEhKcinGh37n5ACvJONs37oUNC+PIQMH0sMYJqtcw19Srzbeu1t+Abt2W3bxn406rHZZ0G6pT64riK1lo0pHVXZ+IdU8BhBB8GtmWKPbt8uVfLljx9SL2rWCVQytjJetKF8vbm7mVxTUARrAJlwB4CseajP5DyvjIcO0dXgAxslz+ltqTQMkBmEAPVAJDgibX+rQuYiUfB62NGT38EY051Av2sKDxJwtFxO123Bd+Ar2m+vS26oyuUqJqfFNuRHVxdCOO0/lhNQxTmJZStBI06fcCTMyOalIah+vGKpJq6U8ylGFmSoiHFwFnHuY8IOUxAsdJeZU6ikv5FXIq61TAJqpVqJKn9p/jzoeNUJ1Vf6ePtPY9TBi2hqGhOHPYplZQ+fPkx/+8/vc/z/6qjik+tl24oRXFxHYJXYwjcM3CNR1PA6zSUCWs+mYpCS2TaGzBwCb2QbhSO1he9LR2Z74ZeDbA7Zg7ChfM2HkkVifxDC+mRwRrgo8QOsEmMmcm4xD4i2OqR5rvDTbczo+tCHOOP3Xwgo783q3iW2UWy2xeLCU1d4PVrqOZ3qmQcuMusjfNDWsOJJC5vhkoNQTeaTjqZPumJrrGgNZM3xSLHaZnD55KD0ptyW+63TlGVH04+JCo+nz0xePrTzBame4j0VB6f+/Dr/c//Dj06EFj34fRhz/en/w48finh4//ePLs76cv/3z09K8Xr/5+/+OrB09fPXk10jtcV1SXFZVOhe596pKdyTEbQzPbQ5YXrWxD3bxTwyJby8vvDw5+mJh4PjJ8pbS0MTW9v6hksKTyVn173GWvmsS8Oy2D2FCP1Aw+uvLw4/jHXx/+hgIU9RmLVwRh2YXxRRVp1VerB3or+oDqWMvY7bbbhPu77XfQDpTHVTzsfPCgY+LnsR/bp0QEjErP6Noc1bIw23rE1dylBANGDyidhdP7aGBD0SSPdIhKwGDBMwVrC0AahYHwWd9o58jSqAKsOFG7eFi6GCnuZ0/o5gVSyitVaNiiJjDXPo668+SuM6bqVsx69GQM1FZrYPKz9jsWDy1dN2c5nFjiJiy7pV8twQ0DBzkguW3jvu2bDNiosmvTflZjY6SA1YnlrlN2Zu4V2S39dSOIF/Cw8jBzQmgTdMa/v3IQ4VV9cmNzaktdQj3kQ5xReVSqrlQQ/WoJKlEGKKu+WU6XGJ6bk5VnUXxVeUI9GASPXDmAdDpu8mKauE70BJXAgaBJGAV9HFAJNgEjgRJsNqR3A1gQCjCnMRt6IYEtLb62EXRZcdEnC2Vt7lDtLVbAE/iQrtCkzY+qpU9LvVmV3FYaJ3wfqEFgjYyahwNzAVgQNI7Gmu92l/RnhxQUxVRQXdaltfKzEabxNimLbkI1A5bpBtN5Y2UYLD5ICPpK+zDpZeMbqtXTxhe9zvinBmcOt41gdPN46CFxc7T1mrO1Q3poMtIwVmLh5eh/wt1ExQi/LEhBmut11MV28HhUEd0qKyKL2RryWEoPpARgk0MzDck2nVs7k1PYdFwytb9gfJ7GINHTydKFrk6IfZggJLc8saoktowWFpUmm6xJerGCQe56pfR6X9WNqrQW+quOxz1xLlXfoMXqRhqDsiIy2yU08d2iQkSagTY5ySG+NLiAfg4zSq653pnZHmmYCeDyURZW0JxcCw0v0SOuNK54oKr/ZvMN9JhY0yO3/HD/I2D8+ckvvz79jcMo8/no8z8e/xh5wX24spHU9MXtuxNDQ5NjYz8/fPyfyVfvx+51FVd7nr5ksG3PHrXdusq7L5ievWx2PvCMa9AZF4+TF52O2Z0wNNfX2KmloKYmI68pr6StoHREd2+Mh9dwXdNgWdVIRW1TUmZVTFJ7VmFdct7V0ua3I08fdd+90XD91ciLP578frPtxq2uW4MNg5yR9hv0nEe7b/c3Dl1tGcG1/nrbzcHG4aHmGwhhiK2Y9Z3Za0PteUbHGj1L3NmwxPOR2K3QzsXmJcgOe65kXCy4Cpv2/sLKlHI+JyCXOg6pO/0u/gp3i1TfZF9rLzZpulu4oky5aHBOdfkWmfmb5JbIKi5TQEmB4yWrH6x1zh7VsgWhJipmROH17Hb8agmEWPHZuB8IE1pqGYhhW9dt2y65G00xi1RA6C5pA9zs98kdNtxibqxylCVZZnpnUsMLRpB7Dz5Hjudp7qy2VDHglC/YJL70s688sWFqzVC8zwlv2z0n8TDhBsO3hM0OWCLbGV/IjywRhBaWxNZwCsIq/28zJxSEktBWTZFgq4lHQJJdt10Fg+AFzFKEkseCRNBK7Vmb0kYdCmaJp2S8zVk97bkDfC0Sucum3mwmhSdPd4gIyJvwDnzmeOvjhswuqAhUmgTN6W5tTWpHWXwTafD0UwJIwlhgNkrb52bLHZqZZLN5ESVlCTUETb4vP6GQSRgsFLJxhCQi32wb/TNKoqo4riuvUUKbabv3HAK9/YqHTXeetDd3DnaMbCvtvN9/fwqbD0aaB5IC4sAmhiQf7r75eOO1g+E5U3X6tAbYS27doINfloq4FjMUibkS6DeF4vcZc5Z9uQBvEwiWc4TpzUImnha7jyR4xoJNbiR8Jrlnpp0QMP/BY4SGPGyEouiSqrhqBAXkD1CbaLjdaX8EPCErsijQao/tdkmdLatU5JbK4WsKG9/Z8nK8Y3SacyKzP8aUXWltDxru3qu9/bzjycuup+/7X7+58uzD1Vdv+p/ebxy7WXltoLCHojLGKZrmZG1ard9Zv7DL4TnhudDs0wPTBJE5gkhBdWb1lYrOm23DL288dDh8/P+8ePPq1vhQV9e7x4/fP3l6v3fQx+bCUe39OlKqlruNnY7bOx67eOrACZs9lgcUdu+R3qYnjXuAiraUiqakktJ6WXUZZU05FTVpRS05Jfk1G+RWiOlIK5w1MCkMju7MLmpIyWxOy80LiXUwsb7bNjxY0X2nZXSi+84vEz8+6L8/1HhtvOsWLhPdFT2oAzoqewfbbzaUdBRnVGfFFsT4JoW5RHme8fE740fsy/ZNp3Nb7J9b6p+b75lR5pcLlSLFHR5yLHb62E0QKJkjZwcKUTkFyUxatZCW+eP0PMXb2gvfMHy5E53jMffm8NAzVzskM1dCfrG00jI51oThZW2qbmmrY3dsmy2jWEOFQ7qb9CguliOi/2S23HIJWjSwg6Dw4XehuWEHBSZPb7CJyB1sEjf1ZU04GClY7LQ9bmAf65+JlfTzoVexjlFG8BzUDoXZBXUXX6lJq+8QdKINL4sqx/PTbv/ZnRLbkRxC2JZeIIMjR7pfNo3c6uQGZpo4GAAZSjywSd+VyEUtCUZo5oA+wAg8wQvI6i+7QbTik4mYMGYBKWAEkuTAXEFoS/YVPg3UeFuHYaAdcj6e4rEstpnGTm1SO2/LQW7GZ463P2nJ6YUOBF+oMKoaOh9wm47RQoJfcCkAhK4Q4Rh3s+UuW2Cq0hvLkmurUxsrk4Q8oqLoGgI378YkVEhUgDTIqMU3m8GEsqhwcTAcVz15fZR6x3XsaG4fUDc7c+iSz/mQktSKG2037vXfeXj13qubzwpicrIjM5mt/DTxvjqu1GbnscNqJpDltGX24APDEiiwiRGKcMj11TKGzqyqAZtCxdBns9fMEaVlB4tPT3E3OW2sa3RtSg1eHDyouWG4E3iqU/tw5zDZLIos7i7srUttDL8YRTOkp7B/uOYmo2c8KC4cusxaWCplqYUyUvM3Sc7bYKljNt42Rgl2t+HWSPm1pqS6K9ldFZgyBRRUhZVVhJQwdKBzgtFHFu0Ur7TiAAGsvNN6p0/q2fqfDipnF7FTPIpsojYOJ+n+6cwRkr3i0/2S4ym7zvlcPnKqOjHjbkf3zY6u+8PDw91XnM9e0JZWApWmGvr75LT05LYrr5ZXWaOA8GeLiJTacumtonJb18grrZJRWS2DWEBKRHzzyo3yazZtXiUhK7pReqm48tpNamLSmxetVhfddM7QrDA8piohtSohk2gb7eD3+/0PzRm1Vwrbr9dczQ3Nwg/fyfJyIOQQ19iC6MJoj7gAx7BAl7Awz+gg5zCPcz6edt6hThE5oQyF06mvKRIhHGZ7pmAIBjCLg/PTfFLT/NKCzgcxEcb3id9wbkgeNizgkWFKUUgxpCMawkG2oUxyYZHhVm1vdAHjJsTa6EML/ATupo5blmyWmS+xZelmdVEl5lbGyiYntE8d1bSx1TlvomRutMWYnvlaFsd8udhU2xjdE+z3BTMWo9QjYmpv1NNaLzxETOypd0sf2L3JcDp0HtE6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FKAKZTNAVbngB1FkxKhToTHYJj7QIoU/BH81cynaiq87GM2gfjEbrT8dT7SM5khELZpNT26mV/ff7zu+/+eHP7ZWt+ZXPq1FXTarHJ8tOxgTrNxyETUoY3Gbh2VzdnUZqvrhMbtdK84xkvTfGgPxid4imYFGGEQkxeEVOB50lZ1BQmsgnqisLzEaxy0n1TkjxiU/2SotyiA+1Dov0S2YWHFdir5z+/wKzvsaSlcg/7IHYbsdHvDb7xn995i3SBnSxgk/iNtjuaLgaRGF1k+IJ3IO9DUCkMDx44TwQLNgnk7p69xVUMa6kLnd/VOy9jNmDBlh8RHUpXhkSQAHFCrTy9De28TWyctI2xMEVIbC2l7aZuiSEemdTG6sUzorNnxed8fesZfkQvzlw/tHBtaUgyH/hB5s4YRARauMa4BIDNONfQRLJ7u6Bo6yB22fMxS+sEAS2DJyI28dZbkFMJNoXJoKJaDpMOuNGuKEfA2UJbk9yTteaUg4hpQSvaA27AJozJQfG+p2E7RrUglEFOqJPpp1Ntx8Emvc5uFnFu7yLfJELgF0KrEbHrjRPXOQCTsFaMaf/ZyHkR3ft9EZskmzRQhCNpboJKEZsiSGHVr+88/+zynSPL2jfOrJ8Xmxtr6eaOdbaWsbOmYKANdmA6XF94k0OXABNIAiKwCceJCH0PNEAHSDkiWgE1x0PD2E3N0FXVgCvAfI9NIMnhR1zUjIAkL8urYQUJJEGcraKunZIeOHoPVR501TTlu+IjfMl3hS+VDGEl6M9OXo8brphi8b/MDd+itiB+lycI31XSs5bXZvUYwHyPTVaruKlZo2yXtEsKiWkhTZwtS0OLp4SVFAcKFgfUf4hms7ySIc3igMwS/3ROtnsc2WWOW7wITHJPoSLkkcBkCtjM9UmItwuMtPQhjMfYig8Hc2l1rZFSYFPto4n0OjVHTLQfrZVpHXKkacufj9/898vf/3j63baZixdE5LSV1yQ4BZSGpaBDMB6lbD5BAy8+WpxuamYOisaezKeoWUXYBDIk3lzSUF+wEMcVrKggTfrpVCDpEdTn1VOTXFy2iOoH3LqwoAZxAsUQmn1zMucUx5bE+SUNn7v15OZrhlAQ2d6//gV4fHX37ev7P3L96v4PX977fvjUna1L9zJ/gYiUc56K9+azA7vOw5uY5AA68d0osOf+8xSFROqEMUm7EEVT+mOaiY14xWG5/FXRurNptDg8q6lkwbzMigAzdz7tSZHEuRJ2wDGJ46NtN0nfJdTOP941mGSzPDwNDe3PT7959/bvVz139tW0FQUm+OrZ+ps4eerZMikQZu8bYuUdae/PumTsv0R9O9RZGJqFVI9J6tl4BEGdEj2tMLRbWIN4A4c9vNzJNNHsUQiiPMvN+qr11IVEPS1KWoC5sQoJn4BQUfSOhI8h684Vh5jlFDwQVggWJRJsnqG2KUw077tAh1EApoQ0Bd6kYEtRSNLiRGErkR8IMykMdYp6A2DI+V/eBKeA9Mn1p6ScjG1+c/Ppz7deDm0/tjhr2pTA+En6aDgNmZJjgI4wktheDEQxundUZ9rXHHriPQ9aufKWo7wmUiE3XlpEXGYAUHKVQFLDyElFCCAdUXGo8UxDAYwAENZTNeRHHJX5TxEwCCHaKOgAH+5FbHLPI+LjrPMDVuLjPIEf4Z5v8eNCLKSsTyWBq52CDj1BruKN+Pr2PFNRl+8Kr6ysZynPxjHhsFmDQS0sQdiASVmPzmB51BRIZ3rsdCJbgFkSVFjol0u7pDQwvzQoN983XRC0+6QWk3V6pxDBSjS0SZksF5MAM9luMthkLCXVJQppEG2UWBt/Xx1bNwmVi9jU/EhKc5SM6sgJWiOkbEZqLAgvbC9r+vPu10I56NXPp5s6muNKO2Yuclc3IyMOMnE2GqWIhM9ETstcUZeaErzppGzKX5i2Jv07LBqoYomjiEInfYbgFLeqonX1rNU07xCkcSAFzrKpizHDWTpt8co5q3BEmZFZyXLbJ9e/fP3pTy+Emu0vbx///s2dH15ff3u/98nRDaeQFc3LXzgteTZlSQiCmBbqpEgLPOFNSrVi1skbEmwirQSbBLGwJ8BEVsqhCvTgzC2KdTioU41vm72UZBndbKxLSFZAwrT4PHYzWSsb0BBBGUsV2kHZ1F3Nmog33jOqNDKrqaiyOChxUeHs31++fff9399dery/fn1BQIKQQBk6gGsfE6dgG69Qa58wG98EpzDWplAIyvAiYM7CcIPZE9JMNp6wtm9hgbAkrqFgQVNxHb8Exk7BJrxJE41oFkgK1doZq/DWk6yvWgkkOWxeaK9eB06hToApzIst3gM2STyZVTyy9CAKW+asWTEPNvmwEmNaeBOVixjTXiOm/Reb6BDu9d0RVswPPmBq7BnhqwSVcOWnQ4+4igdsgtbH154wpcIEyg/3Xh1s2bR6am1DalmSgx+RJ6gUz3tsQo4siKHLJnClmqlg2EiIqGTIPSgQ4ckVSPLjrqoCnCFKFxV9d01jUGkrrwk8nVX1gacIJZ78/4tN3sDgERiCO44IQB4RsQlaBTz+D5CF4p4EjBZSatxbyQg9QW44/MWAJDd0IoQjrw3P0o+wUtAElWYyqhwTKXXjCeo++s6YXjLFz6YSEsyyyDKqQBWR5WXBxSI2gWdJYA7dzFyPZMgRYNI3AZicYt80wlqhKOQck+QQle4azxQn+SZZZ5ZndKpLeIS5h4+ONb8u/j56Y+QpB0Gaih+M1RulkGoZNC8o/2D1mu8Gnrx78//eff2fh3t6liZN3TxjkS8Tyno2hWHJ1tJauiNlwSa6XHtFfuEWtnIGtgomrOeOsg+h8Ci63yClwGGDnh1nedlS4MkbD7QKxnFlwhF3TFCUbmKgeEoTzrcDR4aeXH39+Nrr77/4L85Cd3ufIULuaNiJs8HM1KrZ6XMX5NfXlzSj9AabIBTeRLQmtlEAKW9IOimi0ZxIoLCGmHBdPzaMlzKzjWylbJ8v1MNZbUMQHkbh2tKHpfAcVIgcY1lN/mlMRhMYsGwiwsL3yIrd2xa3L8yfszB3BhHs6lkNf7MK8O2fb648O9S0Kd8/nhEA7BSEfYjm7sE2PlGOwZH2gdG2gUkuEQyFFbCfdHJuaWQOBkEsg8PoQPAhYblqOrsaawgh8IxaMmWRqDoQeZNgg48ygLlx7kbiW2hUECHUbmKUmLkbUMmkmJh4IuHjgE14k8RTMtT5Dzb5PSDIGdx3CVsAjFsJaJkKEXlTjGlZDQxv3rtwB2A+uHjv6fDjx1c+BZWQJjdivinQ6E0+MB+zTw1sts5dMj2xINklJMnev9gnJtrSXQg7tc2IaQV4qhsIZKcqXB3U9MEm9UOCQ97/RKQiKoEDEAAgoAAwOirq2MtrOSvrOShocwMwbeQ0rGTUrGXV7RS0OOCU+/fY4UVAjYhHenn0C/DlQB/CDcdcWmjwkakJ+6klz+QGwPIjoJhtC+LrAD3ziar8rdDScP4Bo6wmj/DXEx/kB/kpvN+Zqce0jfFJ3BThTfwHvPSd8OGfnjB1enxFaXipcEKLIc2poaWlk/KL/bJz3FPyMXx2S8zzTMlxT+Ka75UKSMFjEU6YFGw9Emmm0O6ksYKEL8stlpPiEJJgExBu5u6nZws2+RWBTXiTOq3ciFGkutMCM7ZOXdpRuugt2PzpHdj84vS1NdmV68tqIy08DMYoJHmF+BvY6n8kg44IwbwVrgjy+hYTNZkdc9eyCzDxKgrNwUEF9mReWIAnEu7iZhYHLJMgVNggwD0uIsWLcczmML7aXNzcVNI8O716T+vBp1des9io+9DwlhUHm6etmpE8b2bqXKY1OdxUZtVuqNsmjmAw8n92A5bmwpzU4F4GMAUbK8gChNKwpt0MMOELWIOIjit7nAlokbQtKaunXUVfjPFMbC0JQQlE6QeZyGhZKOkJ8YAyV23E/E6qlguzKrfUrF06c1FNzkxK6GXh6bsWr3v387t3b/7z1dDjPY1rs/1i0MOj/6cy5mvqGmjlFeMcCjYjLP3INyWFoORpsYXl0flVGRWzUwWPoPnZlQjdwWZDUR2SKoBJIsAHF59akCYgFcR7U1rQ8qFJQIcgHtQIWNxAmtSCQCjlIBB6eNl+oAoqsUGAQPmkwg8TrTi/AfpKDGgAT7A5fEjIN6HOqxTHCGsltSBIE+HB3fO3wSYHbALM99gUg1uu+EtzQCgSvs6OgxvqVt460r+7rm1RZkWMpReMhlULMa29qp4dwQbFTFCmqG2rrMOBucjdICniUt72IMt0vLIIT4AgQtJWVsNJSZefEumSK/AElQ5KwquJ8ORHRFhxBTXiEbCmqA8kEVWK3lZ0oikBwXc8QQQpOOWGL8EmR4xXeTX+StyLN9yLB1RyA2y5EXAqLqBX0BSxCW+K2GTrJdMQJZGFFXHTikOL8wLyWKBQFJBf4JtT4JVV5JuV5ZpU4J2R55lW7JdZ6JMONgu80xACAUOxucm9oHh3jhWVQoyMpTpGZrpGZbhETDbzCKTKrW1FnGA8UUV3tJzKh+OZs6aaMSe6aENZ8+by5q/7H4HNv77948fBx+2ICormxlp5m8mo2yjpJrsG2shoIscFm9ayOo5KRhSvbOQN7RSNvXQdk9yjadshskVBQZe2qYBNWItXMAE9pQXqhECXl7aAzZYi1gFz07wot47vkplWZsydm1dLOrl49qrs6PKK7AUbG+kjd66Z3zErfX5tUfOh9afv9794fesH+nrAk0MtCA4luOUAVUklpIv3JO9MHDC4kocKc9N7zws0iooP8diuc5WpFYxdz82Y7mfsFm7rR5pJLGqlZAAwDaXVNUbJ2fIhr2HqomMzI6Fkf/PW9ZUrGqfUzkwuyQuInxad3b/7+H/ZcvLT36+vPCK6Kw5NoWfHHmGOD609W99wW3+oM9E5Eqlehkcc8CyLypudzG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pQgFlRClAZjZYAkwBSxaUhJZ5QUGASYAJAbEa1cjcfKGo2R4Sre8EyaEcajFfQ/kYY69cfI8vfRh4PGqab7xU+JKsSKFl/ogkkCaQrA9BZmTyTWQJkZ7qk8SJQLbHkCX3IEOy+3eMyiEdlmuMeSdaY6INuLz3FNRIqQ6xJX4pNU5EUtNyTJ1h/ROyknyg1LeR0DKTWwqTlWcdnsRWuqlzHdc6BtB/tr/vsLLc5fPz17ZXlxdZFvrLuSMXg0UzGw0TG3ktNFVaszRh7RgurHE4WoeKSU5mgBnjYobI3caLLXU/HImleZWgUwOQtRBxU0koGyw64hdyH1WyJbkk0SK+HB4uZ5uXXZIcVbW/Z377t8s+8xu+NZTs3yBQTwwJPBMQy+Xj77EVc90dscugSeYBM8gkphB8GqoxxRJMMKPOTfWMQwhdG5sZNKyJfXP//7xW/YezJmyLASi3KQ9/OxT8ZtrqAV7eYf5xkESJnWtFTU9zd2j7L2JxGYEpiZ5BUFNrc1rX774CV7qH9nKeUvv/z63Y9vHj7d1dhcETH53dOXvZt3RNu5JTr7RVh6pLlH5volFgVmFAVm4nWA8xhb/ITRsIyZQkzLb6ZgHiAVZHvFNeiKUSO0TF3EQYQPdTKZghsq+x8RGxB1sOmvY0EHjZW1c9aCU8bEQKjQUqkDmB27GrbsX4zClpqtBJ4r9x1o2QF1glBIE3jubN6ypqp1akJpXlhWvFdUsK2vj7kbi9KcDW0dDawAo5uBLTthHbUtnHUtnXQs6O1aqRmy+RcfJOxWWKzmbGDGYcmLGXtL1Y2z/GOG9p4e2tkpYBNLXnl1C0W8koQoVCiqSKkTbaJ4NJWjPqNCkAl+oU6wQ9Qq6RKqQJE4r+Loi9sGNRZjGRWdsdIY49goa4rwBKH/gFRSxgF0BjTs5DWgUYgMbBKRAhmaepRkSS3hSuDDcwhfOQCTK3g0k1bgCDcy8rAnwBSxKTImMASVIk5F6nwPUnCqPWKCwceyBqNkSD/FP8JgnDLag1Sf2PyQLGLaoiChdcIReRNyZL1m3qScVLdktt9yZQ1ujm8WvJnjncl32SAGNjM9E3J8ksg6U+yj0hzjCjxTUdhmOUZPD85CLpvhHJ5oMymShruxE3JHAlR4U22UrJ6U2srZTRvnr2A7D/6EeH3/96e/333925eXH3RULp4SkOgiawAeTVUNbA2svA0cbWR1NUbJYptArgowlUZOVP1EVnu8Mti0VDIrnJw/P39+ddbc2oL6ytRqsNlY2ryInemli+lmUuKgU8DydJxYgGdNVg2S+KbylpLYaY0Vyx4MfHb7/FOmxl48+ObV47fPH37z7MHXnz3Gbe/NvZuvttd0QJ1gEFRKWntHkXmLglKuQJIvz2/GspX5a8m6N3wa9/R8f/+735/9/PPDb/FW/f35m5Md+z0MbHn/sCeXTQqUg9hvHuUSwMYTdMIY3dOxTXQKy/dGipyc4BaeExh/9UjP9/de/PXV2z+///Xdf/7713c///zk1e8Pn7578uLd12+727fHOXpmeofnB8SlukVk+8Tn+ibPiC6Zmzwd92+UJIyfw48Ac1FxDdeGogWVadOXSJT/jNdRFAK/VG7BJhI+9O14ScGeYJN1EhuqN2yp3ULiSQMU3uTKnpSdi7bua9nB6DoTiNvq21ntwZzszqYOhvL4I6g+0c/yN/HyM/JgNQbGa656HDtnXSsHHQt7xsb1LJz1rQjgxQMhgkqgx6oIAZI6phzgaatlwCJgln2zwZBv+Zm5FIcmT4/JTnEJFERB6gbwHb9DDg0OSjQcoWOiqAN1CkdWE2wSdopJJexDfAhdUlqBLkGlEeGloiYgxWWUghJTBiIwRWyCSnAnnDFyklKqouEnMnby6sZjZMzGCZEnUAWkJIlcgT+QhCup/OiNljIcJw0qTSbK6Y2eoD9monAviWnFaFYEpsieYkDLlQdFbuWqM3ICwORDQG+0DK/M1XA81KzOlpypMUV4suF1iZ8edFnsn4vFAfPUyS5svxVQScczyTmBE2cfA2kyyImDtMibyDhzfZLQ6dFDibMMzSXc9UhkSmVqUHaRT1KxX2KSXRDYDDZ2Id90UDOmEkKRFrn7woKZrdNqJlt7nWzfS3VOWJL+5s8fb7880LIRSYztOE203yZKemZqhgFmrlCn9hhFBEWUeYGn4ofjlD+SwkIBu1pbNStHTfuZaTNnpsxamF8/L3N+QyGrfuuR2jYWCWsF6K3QLGjIrcVdUAhxCxcR+taXNFVil5ReBTCHzt67M/j88Y0vWIzCEbcwiATKmDYZFiVKmnqSFbHEtKdZftG3qefkquNnJK5NnSuPIkgQNqVKduU863v4491vfnv89ts7L292XXp9+/HB9dt44/H2Q0TBp1NmUHxDcXWqTzSrmuyVTIRerbYtLnkwYHlEBmtTeDf2bTm8ecEypnoH9585tmbHjoa2vi0H//v8yz+fvPrp7pNt9csYP4y28831j2NAjJi2PCKHfXCUkualzACe2JkupAqUU8mRJJj1jcW1gn6vuGbxtEUNJfWLpza3VCBCXsxB2ci0NTXb1hkr2SixYV77uur1q2a1rZzZynxKew2r01ZvmN+2uX4tpqwb5i1fVDpvdnIpNvIk0XRz3LStnLQsWJwqKA+ZBNG1slU3sVY1YneSvbYZS5Ss1Y3stExZduaobW6FfkDbjANUYUy+y+OS5xjAntiUYbeCjtFGhc6+OVbYFTE5+YHxQaaOzH0gI7eQY9bekMOudhTIqMGpFlKloePGt4hdxeIMb28iUiEolWPPjiqwJSEFwnw8/nsQrFJXVAO5nH+eLI1WQcVGTs10nJy9goaDorobRScpRbOxMhbj5czGylmCcVlVo9HS5pK00VKOIq2C/jgZMG6MSZ00yaayJLIVakEAmQPMuScPFZErcqvxBFkgzAHR0C5RMS/F04TwWEoBlufw16YsHGLpQZE/NzAFSQlqTHpkSL+IjnDYy/HNgChTXJPS3FPYGp/inJjoEJfmnICXF4cJa+q0eb7JiN5xPEDChxQBpRB1WuFL1xjmrPO8+KmwaGsfRu2QOCKuIPZAIMRfaV3lgjMbNsc5uu9dtebb55+/+/l3BhV/uPvZ7paNDGLYjNd0ljMwl9ehpOlpaEdv1GiiuvZoBWY/FUaMUv14vL60iomCtqGMNguMHDQcpsaXz8ucS5+dZgpLtxtyF6AaFfBYXC828hrzcLNfzJXZf+TxczH/LKzLnVxyZu+FG/2fDvc8pEjLIk62/gmWCPcFXy8MM+GLw6376aRwji4j5Tx2du3ZrjVdh5ccPrL00Angue4UTh209lDYIkLAq4TFCi8HPq3OnDYtqSArLG5n64aUkMkmyppmHEoT6sYNxZV8F9TQiKQZBG/6GTrzX4BdXlF4aqpHGJ9XgUaOyc5BjKLcO9K/bkZdjld4goNf9qSISHuPJM/AeNcAhn+x/0r3imIaNN8/edrkPBZOzcGfH+pMqmCJBvBk8AR9O6ikQssKtobSOmLahUV1S6Ytrius5TfAMlOG7LD54heyatbKZdOWM2rH4WbF9OUrZ4ln6arZSxcWVrPKM9YlKNjSw13XitEPSluu0KKGKTiiZAfNgTucjqxVDbnhnylCz1RRB2ACTwsVfXGnEsC0VDXgEa4Ak6dJ7vUsaVOqG+C+i4UgJXo/fcepkdk4PK+vas7wCSdepYdohaRHEQm6kZmUpsEYZaIptEBUU2FP8Ag/EutygOQ/QSlZoUSuAzwJfYGwEVUdupwyatzTNwfOHAkJCuUa6MxaRsVKWtlXxzjG1mWyhb2Xup6tlIK7ipb5aFkPdYNwcwc/fXNbOTV9LOnGyQJGsGk0UZ6DLzoY5I0NjQqBrtAiEco7EKuYioJEElKAyZV78UsRkkYTZQ3GS4uvQxuFgxRB0jxFYqTFpzcbgphdincJz/CNZ0lcUTDYTGMBSpJzXJp7UoprgrhzIcM1SThCc1OwPiielMZYCjAUbEk8UfQllQflMEGGDQKTnnm+iWmuk5lJCTR0QsFOd5gEQfKxpvzllavvXn8xNT6ha9fut6+++IuVi1+8hTofXby1fHaDEyuNPlJgQIP/ZXr0HkZ2BmPVBNOhjyYqfjBaeeRoxZFj1JnRHqtiJGtgrWwdaBGAESsWzcxL8rasl1jvkkwJ5ti58xGqgUoW0+OYzRV41hUurMqemxNZuLFl+83zj4fO3X9w5bVkhe7bzx7++PLBD5gFAU9GjFl5Q8OdZgoRLOfEyk4QKgCTm5VsvqPBxyrncyfWHwObLDo53rYfdynWBnkZOfhbu7Bdmo3w5ipaOhPlwWasZwguGdMTi/A4qogrYgswFINYKMYtOMUvKjcsOcY5kAI1Y9cxDj592w69e/3TN1fv12SWFIfFh5izl9MSf+lAMydIM8U9NN4hSIxpp4RlMRxanVKBOT+Doiy7wZ8fvTH/dmHKtahuTvpsUvKmskXzcuZXZlTNzxV+A0iLV8xqXTtvHcAUlcaNpeiNG2HV5qmN8/OqSqILUv3i/Uw9PA0dPQzsQCJxOI4o1GRYpcQnp4WCLhonICkCk3s+S8GpKVBSMzSW1+IKPMGgGdVUdWOQy5XnI1bkW2y9F6mTH+dgt0JVh6uHnjXmADNjC74bfkItiBlzD9Y2KWgxI0ZISaOEFpvQ4GBYY6yCE00QGXqRNP0VaVmCF0o3ot6AJ8OJYn9EUvABjES2AkKhS4pCJJUckTeJOYGn4Sgp4lgPTX0/fVMvTQN/fTN7eRXz8TKuKrqeGoZemkaeWkZO1KNkVcEmMASS2qMmADEwCI2aSSvpfDKBGwk2hT4mKBZyz7FSQJKreLgXEQpseR1+lis/xVV3FFgWsMncFju8tD+S1RsFTsl2lcyldFy1rL0NnBNcJ3MQaad5JTCxm+aewHLqWLvJK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HfKnwF50j9SKRcCluFCgJ1ArWKU/d4GuFkfcLBBQQgAAEIjEegVukoYav2Cnyr8BWcI/UjkXIpbBUqCNQJ1CpO3eNphJP1CQcXEIAABCAwHoFapaOErdor8K3CV3CO1I9EyqWwVaggUCdQqzh1j3SEwzUlwjUEIAABCIxEoFjpKF5rtwiCawmm/pH6kUi5pPvENQSaBIoVp+mRDnK4pkS4hgAEIACBkQgUKx3Fa+0WQXAtwdQ/Uj8SKZd0n7iGwBSBYtGZcnqMc7g+WCBBAAIQgMB4BIpljuK1dqMguJZg6h+pH4mUS7pPXENgikCx6Ew5PcY5XB8skCAAAQhAYDACxRpH5Vq7SxBcS7DgH6kfiZRLYatQQaBJoFh3mh7pIEdsSoRrCEAAAhAYg0CxxlG21m4OBNcSLPhH6kci5VLYKlQQaBIo1p2mRzrIEZsS4RoCEIAABMYgUKxxlK21mwPBtQQL/pH6kUi5FLYKFQSaBIp1p+mRDnLEpkS4hgAEIACBMQjkNY6atcHOAHEDiGmISP1IpFzSfeIaAh0E8tLT4fRkwin7hIMLCEAAAhAYg0Be4ChYG+wMEDeAmIaI1I9EyiXdJ64h0EEgLz0dTk8mnLJPOLiAAAQgAIEBCBSrGwVrg50B4gYQ0xCR+pFIuaT7xDUEOggUq0+H38OEU/bBAgkCEIAABMYgkFc3qtUGOwPEDSAWQkTqRyLlUtgqVBDoIJAXoA6nhwkH7YMFEgQgAAEIjEEgL21Uqw12BogbQCyEiNSPRMqlsFWoINBBIC9AHU5PJpy1Tzi4gAAEIACBUwkU6xqlaoM9AeIGEAshIvUjkXIpbBUqCHQQKNagDr+HCWftgwUSBCAAAQicTSCva9SpVXsi+PKfVRFxfiIQqR+JlMvTJnEBgW4CeQ3qdn0zpGbNJYY9BCAAAQjsRyCva9SpbWjDcRuOaZRI/UikXNJ94hoCfQTyGtTn92TFcfuEgwsIQAACEDiPQF7XKFLb7AYct+GYRonUj0TKJd0nriHQTSAvQ92ub4Yct3OJYQ8BCEAAAjsRyIsaRWoD1AIRjhtwLISI1I9EyqWwVagg0EcgL0N9fg8rjtsHCyQIQAACEDiPQF7RqFDb7AYct+FYiBKpH4mUS2GrUEGgj0Beifr8HlacuA8WSBCAAAQgcB6BvKJRobbZjZzjL7+kf+Pixx8fc4ksLvbjh8Tx++/fhh4OLy+Ji/h6L2+pcmJvxu2F5XFq6xHL2hR5kBWaSP1IpFxWbCmudyeQV6IFRPJDd0EQXCAAAQhAAAJrCOQVjfK0hufDN+coGvn5+edXG+tB1MEuRfCyjlpjlcTUgGKfB1RH/+7DellsGgvzEUyurceHtX7NvLYTIvUjkXLZboeJdDsCeSVagCA5IBdEwAUCEIAABCCwkkBS0ahNK3k+3Nsov359eg6l3Y12SRLCmpRHuG8dkNcksgZJlHbZM4UYJwsz91zIp0umyF020kTqRyLlstH2EuamBJJitIyCHEK8IAABCEAAAicSSMoZhWmbvWhzlP5FHv28f//yww9v02lX4ufu0Xj7YjvmDXoC5gvzERK5FlD1+m7dYuK77jJSPxIpl3W7ivfdCSTFaBkOOXh4QQACEIAABM4ikNcyCtM2e9HgKN8J1O/U+b5DOxE/d49G7NXM3q1Z86FUngxYXFgexzS1gNIzSo822etZnPlCpH4kUi7zdxIPCDwI5PXoMTZHkpOJFwQgAAEIQOAUAkktoyRttgs1lNL7SGMlP9J9+FetT2nb+FHfy2g0e1ez9hTFhVmE3Fdi5krVWGq5gV/wCjlSPxIplxVbiisEXgkkJWkZFDl4eEEAAhCAAAROIeAL2W4fhE/J7OxJi9X948fXfkQe6+QvpW9PsnyjZMaTO9Q2aEzRWJjNngv5dIkmucwjLNVE6kci5bJ0P/GDwBsBX5IWQ5GDhxcEIAABCEDgeAJJFdvtg/DxmQ0wY7G6K2J7rOOXac2UCF72NvkOqUbs5WVe3sXLZiCCl8WmsTAfIZHz9UjbaP+IzKZIvLa4jNSPRMpli70lxq0JJFVpMQs5nHhBAAIQgAAEDiaQVDGK0Wb8ayi1GUnebVZrRtRALpOX6r0ycRGD3Kthb8bJkvKJfBCTczNpG6W38tFsCvPaQojUj0TKZYu9JcatCSRVaTELOYR4QQACEIAABA4moFXMfxA2+eCVRJuOur7zjkbqRyLlsvO2E/4WBDZprziDb3GvkCQEIACBwQgkJYxitNn+gHIzlOVAkfqRSLmUdwstBOYQSArTHNcnW47hJxxcQAACEIDAzgSS+iVliEq0GXJQboayHChSPxIpl/JuoYXAHAJJbZrj+mTLMfyEgwsIQAACENiZQFK/6K02401F3wxlNVCkfiRSLtUNYwACcwgk5WmO68OWk/jBAgkCEIAABPYn4IsXNWhL3tDckmY5VqR+JFIu5d1CC4GZBHx5mun6MOckfrBAggAEIACBnQn4ykUB2hg2QDcGWggXqR+JlEthq1BBYD4BX6Hmez88OIwfLJAgAAEIQGBPAr5y5dXnl1+e/oq2GPg/pC2yaOzHD4nj99+/DfnlJy5JQG+pcmJvUyT6yTi19djivZAvY6FGgvLamUCkfiRSLjtvO+FvRMAXqcVpcxgvRocjBCAAAQjMIuDLVl59tOP4+efXkNbOaHy7FMHLOvrdd39T3ySmKsU+D6iO/t2H9bLYzIoj9u31+Ek3k5PMN4tLoCcCkfqRSLk8bRIXEFhBwBepFWFeqwYvCEAAAhCAwN4ErGxN1h35j8FqR6NLUlm7JNFY7+MX7O293uS2QWOKxDG5tPiJkJvlmsRl+aWE5rU/gUj9SKRc9t95ZrgLAStSKxPmSF4JEHcIQAACEJgk4GtWu+5IYyXf8Xv37uWHH96i5l1Jj8YvqdiOeYNGQB3Szm4yjsWsBVS9vGtAs18lSDhe+xOI1I9EymX/nWeGGxHwpWpN2pzKa+jhCwEIQAACkwR8wWoUHflOoH6nzrceYp+49GhkSWpm79as5attBJQuzyKoIJrJVx7QXKxB8zna6BJBJuO1P4FI/UikXPbfeWa4EQFfqtakzam8hh6+EIAABCAwScAXrFrRkd5HnljJjzy68q+8T+nR+AjWzohSfe1dzRoBdUj7oMk4Nmke0IZE8HG8foksM/E6hECkfiRSLodsPpPchYAvVWty5mBeQw9fCEAAAhBoE/DVqlZxPnx47XqKj4RELz/a3chExcZEbRrLaBs0pkgck8vajJNmkwa1yKleAvE6hECkfiRSLodsPpPchYCvVitz5mxeCRB3CEAAAhCoEfDVqlZutNdInlhpQGumRPCyn07dc43Yy8u8vIGXzUAEL4uNRhalvGzI+xbllespxiwrZSZehxBY3I+Io750md+unpR5BmaWD9U05qJCzUz0YtAYZQgCdybgC9YaDvySraGHLwQgAAEINAj4UlUrN6LPfyymNTVqo52OjYqgeq9JXMQg92rYm/HcOBpz/Xr82lqyzMTrEALL+hHvpbLX1Bbubbyc29dGa3qN0B7NZ0EDgfsQ8AVrZdYczysB4g4BCEAAAjkBX6coNDmftRqYriXY67+sHzEvEVRWQd9rc6uljHozc/ReZumV6pho/GXNy9sgQ+CeBHzNWkmA43klQNwhAAEIQCAn4OsUhSbns0oD0FX45jn39CPW/qggE6iXf/ezqt5rVPb2Xk5GZchePogo/aXJZlwzMEsECNyZgC9bKzlUfhdXRsUdAhCAAATuS8CKFCVm+5sAptszrUZc1piolwbNO5pcY5Y2pIK8+5etUpQmm2+iyS9zr9wGDQRuS8DK1noC2S/o+pBEgAAEIACB+xKwCkV92eUmAOsuWMtBl/Uj3kvlXKPzid6GTJAhlb3Gry/X5xpvb3PlSjQQgIASsMq1HgiH9HqGRIAABCAAASNgFYr6Yky2FMC6Jc2JWD09SzGEOOrLRr8pnh45TdqYlwgWKhfao2rfY5NHRgOB+xCw4rU+5ebv6/rwRIAABCAAgRsRsPJEcdl+12G6PdNWxEj9SKRcWnvGGASWErDitTTAw4+j+sECCQIQgAAEVhCw2kRlWUGx7grWOps9RiL1I5Fy2WOviQkBq1+boOC03gQjQSAAAQjcnIDVJsrKLncCWHfBWg0aqR+JlEt1wxiAwDoCVsLWhXnz5sDeBCNBIAABCNyZgBYmCspe9wBk9yJbjhupH4mUS3m30EJgNQF6q9UICQABCEAAApsRoLHaDGUxEI1VEcueykj9SKRc9txzYt+aAL3Vrbef5CEAAQgMRoDeat8Nobfal28heqR+JFIuha1CBYGNCNBebQSSMBCAAAQgsJYAvdVagm1/eqs2nx1GI/UjkXLZYasJCYE3AvRW3AoQgAAEIDACARqr3XeB3mp3xOkEkfqRSLmk+8Q1BDYlsGF7xbG96c4QDAIQgMCNCNBb7bvZVOh9+ZajR+pHIuVS3i20ENiIwIa9layIw3ujbSEMBCAAgRsRoLHafbMpz7sjLkwQqR+JlEthq1BBYFMCtFeb4iQYBCAAAQjMIyBliM/+85DNtYbvXGJb2EfqRyLlssXeEgMCLQL0Vi06jEEAAhCAwJ4EeGi1J93fYtNY7Y64PEGkfiRSLuXdQguB7Qhs21vJujjFt9scIkEAAhAIToDeavcNpirvjrg8QaR+JFIu5d1CC4FNCdBebYqTYBCAAAQg0EtAChCf/XthLbOD7zJuq70i9SORclm9sQSAwDQBeqtpRlhAAAIQgMDWBHhotTXRLB6NVYbkMEWkfiRSLofdAEx0ZwL0VnfefXKHAAQgcBYBHlrtTp7eanfE1Qki9SORcqluGAMQ2JQA7dWmOAkGAQhAAALTBDYvPdNT3s2C3uq8HY/Uj0TK5bw7gpnvRWDzAsdxfq8biGwhA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wYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABAwYMGDBgwIABA4+BAeyBErkKZW5kc3RyZWFtCmVuZG9iago3OCAwIG9iago1MTQyCmVuZG9iago4MCAwIG9iago8PCAvTGVuZ3RoIDgxIDAgUiAvRmlsdGVyIC9GbGF0ZURlY29kZSA+PgpzdHJlYW0KeAGtWtuO48YRfedXFPwSCpjl8k4xL8GOM05gOHbWKyAPQR48o/UoXg8pc6JNlK/36W6e4kViSzK8Cww5ZLO66tSpS3fPL/JefpFkLVkR1fi3lqIqpSqSKE6l+yj/kEbefvmayNOrxPb/6xM+iKM0d7+bmyQro3VaJ1LlabQug6cXud9gTBxna9k8SbG2Y/vL5kXefgX5ksjmR/mnhJvdCvfhR/tTVvIv2XwtDxujWTCbqMyisqz6eWQ0T35xniD84q8reYOJWjtRZ3++jqZ29zv32mnzxUSbmdlpnkR5CqtOzE4uqyOhfAd1MgmhiNHqEZdUwn//x/wa6Nsf3Vv5FlcMhlpm8A+4YDA+HYE1Uy/L4igvCFbvFJ8rwjcr2fzUI38irIiS5De7+AEKQ22HOSyE7s7psgpwb5BwEODnT/a1w//JfuY+ADMwNLVPYvszsT8z+9PwJlDezLTP8zqK87I+QxwPQQNL0PD+wzIseVlGSRUbwXFUZ3U94mRpRWeV5b67BFPuh3nhEV0BcSfaBFUveOK/uThgsOi/GFGdllG1PidINi/BKCZDj6AqlWwdpUldV4OtYIaJvzyxtrqLUy4dxfmfQYJCwmYlOXi+krWlM578bO8xKZ58b70ZjZ68264CfOA+fnFMQYwuEz9BFkpLID5T1Keez+QM2P1OovJ1iQQGmtwiDzRfcmteJ2flmdy7Bn2fgonR8DNy79gnFVAHuH8DrJXFGAF49IFbJFVUqPqjVI+J5hQ4nU4Qvm8wH+LXXGCZuSCCl2O3yGOdrmeczyY4MiBaprRlMQIT/mN5SwBNhUInSRJl+dUljmJ66o/stjBPqT+zO0xg7vU6BdeW3Qy2GNOm4Vi4Mu0usyAcs/zGuh+cqfvIBVW8HuWU8dQzEFDnv4K3Uc+DsD10SOm4RRW4E5Rd89jWZU9Qp3FUVugnxjMGE2NPZ0S2sJJRTOxVHvobJBP7YNDj55XpNWxestdP+o2pvPYRPzbVyj6QtntEHrP3NKi3BgV8y1dq4B6Jzg7m9EfhnezaTsdxapW1a/lIUBGtiB2/7HjDN9SEn3RCRRr57ypwqu/4jF/tVDKVbE/0UW33+679oQdMBXA+/QypZdmf4E5Zo8K5kL7kSOrEOWizYtw898oFYbMVQqDY0FrK4e/47GHmk4ESkOg40XFaBUCNpiCO+MybLbDuaeLGBCG12iHr9JM+H6gRLeookaOPd/J44C+9ZUG4owT5wGkOKKzLeGc1imJalmPUZRI+81zh6wbrEsLS6mphiP6HZZyJAU1v1DhCN3BK3ynSnTK3GyirH1DUFi2FQSdwCwsTRKMVTJEW0TpHdhlxcorOLLmEMqoz8/WQ4fY6Qfem/eAE6Jkoi40jmpKA/t7Js3L4M+Hhy6PsaZ2S9tA9krUcxs/aRkGR7UF5hhDgSCWVDvzYR4BCTFcNSFMFjQ2XHFyW0jhxo4JQJWtSYo7enxiveh26Rl+2h2bbC0GO9TE+z4uoKAxJr/GFa/bhC8LV6PQKi+gdYeDglobSzoaYKs4c4dXZMKesotw0KHZ1eykxKjs434k7+MKb+zlIDbTrTVtoHvq4HaqeM3rsS9qmRUndTID8ibbtBOx2MUBZMGQ5m6V1HtVYg8zQmobsDQktrdeQh+Q4Ad8rDlQZUpDaS55GIvd0BS3iu8MrqzBHeNBWyRowzaxXcLDpuFGvsNyeYPfBB28Ro1jEyUBG7h74G7z9kBVUHZqoD2D8sl8L08zGCFmPH0bpM8AG0rinPZeIiyzCotltFXnScAB/Utf/MRy0TjNJcQTj/yi8a8Hw3sYgPDatdib0/ihZMyhaZjIYQXKge9EoAr+cc6VtOM9RHqkEr420jwovH3ZKzq2YPaQ4KtB4d2eSmiZelUHzZUtpNIJa4gU1G0Rqw9PeKSw0lSJ5pTluAmRyDlQlvAQ1eTKrI263TPw6C3v4ldrTGq2WNIeTN+qGxxY9V28idR6SI7WH031hlFRok2psO1ldr4gh3w5cskY6rrOrZcFuKq52k8ayPWpFfenNJAYEi9jQVrJ7EMsRZg3Uh3RgVpXT1iqF3nVaIaaXHDYK6H5H2M0ZaC2mIUdpey4jYpQpB6q88y7I+gZwYX+zROIpk2u07LcFwU+u6ecmG3Zi2yEuWMUBSRzn2cketaPqeC/8HWzBKvST3QVDQ4/tGOx14acJLlyAjNsFxqCtfQEG4jm8aF7D03jhvgNouAdKy+k2QWdUVkiPU3WDyS6jc48qeSHfFlUV4RThTL49jctN31oMgUVK6YIHy+JRC0weMPsoGXQZRbYO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lokV2+mi8GsZ0bl0JvKltkfnk8kniw/fDYSrKMguPGtLoRu10WFh/MSmB9JN20Awi0WoDZu4N7xbfCipwbY/bycn4dxP0ymDWzui23GO9Dr8Hjc2PYlT8BJn4SVOROXBk+cqjR8t8dxUUaa3R/CQkaCK6UocC4r+0N0h45+Og/mga1RVVW6qUyf+76QrYJQ4grYpWIRfHD/ueZMFkMuHYy0qDrSoOMoSmDtEQRoGYH0jEcPveDI8uao7vM0q8jhggXuh26SDjKPoP7dVcGlo6ocp7RZK3CqgR1sFNCK2fqrbsdJWAS5pmzrx+0mYU5RHobFruhIwy7zPo+uDlxKeMW7aiAs/RdBrbmkBeGvJiie1vBRt3tLygvXuEb4pZwZvGSr2B1IsP7HyG2sWb1Wd6VBayVS+PVwbHLjkwcqi+//hzGVxry8UEV+effkbl/Tk4tHij76+ZuW+sQ7nPDa2Z8+Cjtrwsi29Z2+4/Ok2WYbmHRF9J/4o7DPPIC/tt5A6ybnXJfCFE5lqp9ghPcrMgYAYvEVgUspZw4yfonO7fZPHScnQPHrS4jzkisWZGVPQWjQkJOzwh4LXBwJ+HU/fT1VKwfit6p/2H/aL/miMrAsqIJ4vBmFIkQo8iJER5Uv5CJum5sxRsFwztA+bcCYS38DDvJEEjvqCefAPch8+uaQo+czUr34l55WhfvWsQ+M7vY4bbvrBIvPM7JMbZl46q5rcEJreMJjZx/6aHX8VEJxR3iRzXdxvyrB7nzflcHWPYUSQO5wT7K64q8N1hsvc53oo8URiKmH+xPqxTciQ+jtNC3AKfjAKfvP7VnbCyohMyGaNEbRKBH4W8fmO6Ca704EMpxk8AMkkdbR6cFUigC8B8UsA+RKBfInwvUTQXiJoLxHSlwjfS5ypl5gssZT0tiQgIkISQGD8UHfkaNyQA87PUQvDSXiJ8/AS+J7Kgx3G1zgz341TUqlHATCmc0zLHcgJ1dzWnJAD5cWCHTIZmkmcmJdA+bwEyqcSJ6NC9wPsH/Owqmfac9gjeqLZFuxvGX6Dsz+Vp/871h7dCDIgGnJijiq5PgoyeeLa0W2Ql3/7SQ6E05hcCwwdauutd/cQoOsS3wK5fsvi285ZtbOjsJDd6C/Gc8n23sJCcf9MjhiiG8fOuOjm77KraSw487WN/ao/toodb40M/UDkH+PtJ9gePeYTkAHaZ/Ixc00dD49HxtTnXEfUY6oVRmX3QXcXimk9n9AazdCq0BpJtHpsGnLgsXA8ooWNt8IsmhRSghrc8HfqW2RTIhVPJIZlBXHJiJk3rZM9WPMkPMgYiFhmWAiFrCWJnQQlHpbjIBGZJYGOEWl3pYTJGf9Uub4m6/KYLMoTng8ZZenjXVAKuhnM7qmxt8HRjtGVTQ6savArjGcLDVV3yw2FM/FHVLOisgO4DyEJLCFOpl9GiyNHCizQcVK9z0SREjhC6N54H3PMKb4iOahBDiIVIJcVv1o6TVTcygo1V/CXN8HTFgZBY7qbKllQQfEmmowWqDtHDgb6eBGk4i8H4dfEC+efcQuDgSOpsSGBg7wTgjjahhyUsd/OvtaXClfY76veSPmhnV2VPjav3NuLTGjCz27JxiAv9obUts2z32HVm7uRiwnBzN17ZjLUyr0njloO4j2XhfOQwdHLyhSqtR8pBOFfNjtDzrCC+ZwVs7UaqIaq4WagGWqGVwVWhVaFz7ec71ujXmHZ7NjovMR3Weiy8EZ1s/YV5QbfjaGvhq9Wr09dV9jb+a3Su9JvTP/p+bD8F9OfHH9y/tnzWTkvOSSn5DErFq9Z1TvHOtd32kE5+3xev9/kUEA6Az5rETN0MaV2rWB4YMzgnsP+FK7MH9LCUJ5peX3qxFcmvaKA0e7V+qWaqZwqlcvDWiqgaSm/yW6SNMG0TlOxqZpFO6L81nl5tjGw1SZh2OtD5jGfgklMzPay6vcxk+R1pthvU58hELBU0EqY+oQmPDEzR7mQj4TBXZdFweTspDpfNpx/Pb2Gky+VNpx8kWis0amTlAT3JDyNdCCg9wo7UtAsVQ7p671bIZr+IatAkGxHi+FaI+g9T5ycstoerXROCWt4TTypbt/GFcoTp0qU+TClRdMZVN3JqrkNay3R+0mJ8raT8vcv1mhX6XQhfGn6VGHy9Gl5zQxWm1PapELhQyT1xBHy5UMBM1f+BQChL2QL9IXxZ1ReVF1MfDVXe2nY6fdzDR/VXb51alUWj54wfdb4a28hOp+9W8ul7tzjUBHF9X6vmtxzXSzfw4Kd3aXZvyWEf545W3js4WrK09aGoO1zZ+9jV0RGi8SHR8OhUWyOjcQKOTNqetdXZ5D2nyFzv0l8HzW9X3hVHy0kH9SEWELpF3z7Vdbvvq72fL/o8wS0vHatsM/zUP0N9v6ADUNXmxJWIuZI2GYlJkXDrFTHMGqwStFGV75NyVFiRoK0cjPXnZXIDO72R5sPdb/QLXRWWDWpau5q0qO5+2mq+H4ZCRw0azQZ06K5Clwz3f09WvcL8JiRdURIlxbJahkt21VtaF2dqgemkC+z0UeqT1WFL1Xvrr4I+QyCW5/qf7Ff/FL/3f2fyuJ58u3yI/1icljuhwnt54QVoCXKH+u3AUj/usLOqeyuPFX5acVcYT53O5qQhQVZG9vO9jDLne5XtE81cbV2i3af9rhm/p77391/dmPS0QeRD1F8D1h+nVtD1kmtX/dloaqT3XJV7seM55pbq2r95v5qRUM4N7NJJ9ei3V25LFJuQ/fz6MD0gDCA5/Kc7G0MoDHQMzoEyPk27pqcOgy+oOo9yX/B5FUV4VqaREEYnkz/gQzx8Y/+PAP0Y0R1GB4aquu8pof7tm1DHkpKJkGfbcaYnaEi4i0xqpDhilEG2o1SVnl5EFjLMKmo/yTw4Ln9cAq+aeRzxX84zZSfmt8PjMopDp9T15GnQ57T7+uBZMThgRocCw8tVFpwfEtuIWg9SjdWJyIDA78iAclXqxOlCFYh80dwP5qWHusqLS0JW0yXOi9Wt3TuZ09pT6We1950f+B2YAQJvzso7zk3EvmWCgU+dGwxAADAPaIRmYKaSkRPOAxS4GSHIVz53dX1eHXm08Fk6qylVcnmT5dn712y7fIV31m1sobcag2bRYyekR/LVtjo4JZFwuDsW98phQWMJkP+xMC3Ni11+1FZ5Vxu9JHtrOPeRWhmzGdVZMVavaP7ynIwicyEwrLNvH+BRukjtLoq2/As95+Dczmi/zOCLUkQu9y03D0SG4+tjZ/fuSW2JX5J553xqfiP4552f3sAU4fFhk3D7ouli60Xu75Vfdz0eOydqBtndVfdrqpHckGUFoyGtKBCs9uZNQxekCqiI1hoz5U81epwLBqIxaJIuBTByMa9jhIJuKnGpauxKGaxMlmDhaopR6vguWO5D0v3qHLuQxVKJgkJpGIm5/r6kfqxukjcj+4OtDfqqMBysIpEXoALethSLKYKjcISaDfeSJdMlsPA9NEaPOJzUAKuFp5OHNDdqMXQ4bagBNwqcFCTX8UQASHApO92W2eJ+xt5nSQDbYSS+E6vjqfVQCtk+TbKDYS6bJoATGihgv9mWQXrFx5vVAiD+mN/mP3JkqFO9vt6+7xHr1hQX8j6OvuXzP5pU33pJedcvKwxb5Axm02OxNu788Kz3x6BtRUykfzW2XtZ/IEFbWUgCcvgD2ZGZz8fWH3h4v4z9cWQuSc79tGbBy0oXo437xM6MCxGBL74gfiZaHYjWF23Q38lpmKYzB1bk2qKymP6KGSA/Zhf8BJxl7jDdZdwt7jP/RnpP0fFYdcS9wXiGtcPxX8VrYhEa2vscP1BEKq2qj3lTfnWuN5x/ZfrU6iDBbMrLgRc5pZvvN0lwPcmxIQbhbuEZwWL4GYWV9C1w3Wr6wXQg5iUcdghuYcZXOR4H3gVlAgNcj6IsjDDtA/vvc/raNrsXp8Xt+By+za6r3HvcX/T/X33M+7X3UdhKu3udYIYEARRYKLbZHcFnJhUXhx22qfEvO52Okw+BTkFfMwh+WhPu3vYJBzCTCYBcgia4J0gvIBwuJjTdgihVhcwcYez6CuZqNIpgT6TDnvdxIxvwlV4qFNC20H3Dhg4qOfwc6jEWdQP/8ZoC7wi/U5pBawm2IrjiOfAqBH5CnhYHAIq4MyDL+9jSv82oQx8zDNr0q3S3fJ84tt5t+6G9aQGQ1YU1hLlC9TN82241HiJLBRUHkRuihZCvf3GV+lcyhvKGyYeKkdWGbJy+rolNhJxQnAHsABIZgHMK0SwwGk+/gGlpsFAv4Qp2roYxT9C6Z8OMhrKzxcXf/4TQdh30epGIiv6ZwV9+slSIiSuzq7YwJT4589cCfZRMC3AHJSfIEutG2Pzr+sph7PD+Yn4idP8kHK/7/7QQxHzY+wx6Unb427zoC0wCtrvpkOeURMLj5qnhN7nvKOOaMyYluP4io/4JCAzBpffyaKuPOT3bm/aFGXhNPPbsBaUsKY4PWkWEbHw2QNpU8iCBb9bWoDa5eS7Qby3ml43iHdS8vFMAez+8x6beHPv3jcnHjtv7Y03jY/fdJPlkvH9a/e++ebetfvHb+Z7sBcKd9wf/5xII1zvf/ro2ClSnnkoeTCrA3z1XtMXMx/RvEc05xHNcTQ3oxHNZ3TqbEZdiCCcm8loCWaVHTYtw5yJZyBeeRTe8xWYn3AVZv04C7NEnoM5ENeYzsN8iuOmtaYL+Ny4t/CLYhBcYSyHj2RCiODYkrOHhkdLqy+9YtPVKzdde/ZVV1x05dg5lUVXXb5xxWrT/wMSCXW6CmVuZHN0cmVhbQplbmRvYmoKMTE0IDAgb2JqCjI2NTQzCmVuZG9iagoxMTUgMCBvYmoKPDwgL1R5cGUgL0ZvbnREZXNjcmlwdG9yIC9Bc2NlbnQgODkxIC9DYXBIZWlnaHQgNjYyIC9EZXN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