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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta charset="utf-8" />
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta name="generator" content="pandoc" />
<meta name="viewport" content="width=device-width, initial-scale=1">
<meta name="author" content="Joshua F. Wiley" />
<meta name="date" content="2019-04-15" />
<title>Generalized Linear Mixed Models</title>
<style type="text/css">@font-face {
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) format("truetype");
font-weight: normal;
font-style: normal
}
@font-face {
font-family: "et-book";
src: 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) format("truetype");
font-weight: normal;
font-style: italic
}
@font-face {
font-family: "et-book";
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) format("truetype");
font-weight: bold;
font-style: normal
}
@font-face {
font-family: "et-book-roman-old-style";
src: 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LwA6AHsAsjMAACuxLQXpsDgvsScD6bAJL7EPBemwFC+xAwPpAbA7L7AA1rEMDOmwDBCxEgErsQYM6bAGELEkASuxMAzpsDAQsTYBK7EqDOmxPAErsRIMERKzAwkjIiQXObE2MBESsictHDk5OQCxODMRErAkObEUDxESsAA5MDETNDYzMhYHDgEjIiY3FBYzMjY0JiMiBhMBNh8BFgcBBgcGIyIBNDYzMhYHDgEjIiY3FBYzMjY0JiMiBlqoeXusAgKme3esdV5QUl5gVk5aMwMhEhsYEwz84wYGBCUxAe+oeXusAgKme3esdV5QUl5gVk5aA6qDqqaBg6qqgW94e913e/uDBW4ZCgsFHfqZDAQCAVyDqqaBg6qog294et52egAAAAMAVv/ZBgoE8gBTAGMAbQCfALInAQArsSIH6bAuMrIHAQArsg8BACuyUQAAK7BIM7RXCgAgBCuyUQAAK7FBCemway+xCwXpAbBuL7AA1rFUC+mwVBCxCAErsWQN6bBkELFoASuxDg3psW8BK7FkCBESsgQFUTk5ObBoEbQQCxNXESQXObAOErEUWzk5ALFXQRESsEY5sSdRERK0GEROYWYkFzmwaxGzCA5kaCQXOTAxEzQ3Njc2JyY1NDYzMhYVFAcGFhcWFxYXFjc2Nz4BNTQuASMuATc2MxY3NhcVFAcOAwcGBw4BBwYHBhcWFx4BMzI3NhYHBiMiJicmJyYHBiMiJjcUFjMyNjc2JyYnJicmBwYTFBc2NTQmIyIGVnk1miMLg6aHe6LTBgIERF5YRQgTTjcvOC1GAggEBAIWh+AUBBwKPB8rDh0zDikCP2UKCCUiN0ArNXEOHQ6TflZkOwoRDBPw4ZjOx4duVMdGCgpIZnFQDhu+tpF/UEE7RAFIomgvSBcHfYp1j3tgk3YEEAQzW1ZmDhhiWUh8FQ4MBgQhCQwGCAQUGxAFAgQEEA0dXR1OBnVwCg09PmRATgQ1BndObBQeFxPw07R1j2JMChFvanE1ChKPAhaDc1CJTlpKAAEATgLnATEFZAAUADEAsA0vtAIKAAcEKwGwFS+wANaxBQ/psQUP6bEWASuxBQARErASOQCxAg0RErALOTAxEzQXMhYVFAcGBwMOAScuAScmNQMmTm41QAoMBDIEEhMXCQICMhkEz5YBRjsnN0IY/ucUGQICCRAIBAEdfwABAKL+NQJ1BaQAFQAWAAGwFi+wANa0Cg0AGgQrsRcBKwAwMRMQEjc2FgcGAwYRFBIXFhcWBwYnJgKi07YfPRKPZU5WZz1IEEEUF6zLAewBAAHzxRc8H6D++s3+/8n+xLRoViEfChu+AfAAAAABABn+NQHpBZoAFgAWAAGwFy+wBNa0EQwAHQQrsRgBKwAwMRM2EzYRNAInJicmNjc2FxYSFRACBwYmGZNiTlZoOT4MAhAlIbDG0LchQf55pAECzQEExwE7tmZIDCkPHyHB/hf+/vz+CsEZOAABAJ4BzQO8BWQAbgCVALBNL7BsM7RICgAYBCuwAzKwEC+wOjO0FgoAFwQrsDUyAbBvL7Be1rAmMrFaDemwKzKzVFpeCCu0ZAwAHgQrsGQvsCIztFQMAB4EK7AvMrFwASuxZF4RErIJKFw5OTmxWlQRErMpLUFbJBc5ALFITREStQBRVmJjaCQXObAQEbMhMFNlJBc5sBYStB0kLS4zJBc5MDETNDY3PgE3Njc2JyYnLgInLgE1NDYzMh4FFxYXFjUmJyY1NDYyFhUUBwYHFDc2NzYzMhYVFAcOAQcGBw4BFhcWFx4BFxYVFAYjIiYnJicmFRYXFhcWFAYiJjU0NzY3Njc0BwYHDgIjIiaeLzkEVBk5PhkVQjkUKisKNy8nLwoQEwwSCRICSloXBBkdK0orGxsBGlxCQigvJU8ZXhEvSQwFBA9MKBBjGU0rICcxHUhYFAIaDgUILUotCAwJGwEUVEwXFC8dISoC1zEnDAITCBAlDgsjEAYKCwIQJy8XNQQMCRIIFwJYNwwaYFRgHSM1NSMlWFxYGQ07UkwzGUQcCBUGDiMGBgYJKQwGEwgaRhsvJydaNQoSe08jExJONTUnHRwhFVB2GQ0xXh0WGy8AAAEAkQB3BQoE9gA9AE0AsDsvsCIztAkKAB8EK7AaMrIJOwors0AJEwkrAbA+L7A31rANMrQqDAAuBCuwFzKyKjcKK7NAKh8JK7I3Kgors0A3AAkrsT8BKwAwMRM1PAI+AjIzITI2NRE0JjU0OwEyFhURBjMhMhYdARQGIyEqAgYUFREUBiMGJyIuAzwBNRE0IyEiJpECBQgMCAG2FAsCHVASCgQZAbobEBIf/lYEEAIJDB8dIAgKCQICHP5PGxACljcEEgQLAgQKEgGYBhEELw8e/kMUDxQ/GwoECwj+Rh8KCAgCBAIKBA8EAbYbDAAAAAEAj/7nAYUAqAAYADcAshYAACu0AwoAFQQrAbAZL7AS1rQGDABABCuyEgYKK7NAEgAJK7EaASsAsQMWERKxAAY5OTAxNzQ2MzIWFRQGBwYnLgEnJjc2NTQnJgcGJo9CLT1KaFQdDAIGAgoQiQgGFS9EPy08WEhYoCcODAILAh8EUmAUAgQGCjkAAAAAAQBaAZgDKwImABEAHQCwEC+0BAoAHQQrtAcKAB0EKwGwEi+xEwErADAxEzU0NjMWJBcyFhUHBgcmBCciWhsMRAHXcgoTBAYdnv5xaA4BsFIQEwIGBBcKUBkDBAYCAAAAAQCF/9sBeQDHAAoALwCyCQAAK7QDCgASBCuyCQAAK7QDCgASBCsBsAsvsADWsQYP6bEGD+mxDAErADAxNzQ2MzIWFRQGIiaFRjc1QkJqSFA1QkA1M0RCAAEATP/VA6UFagAUAAAWNDc2ADc2HwEyFgYHAQYnKgIuAUwGdwHKdRQPZggNAgr9TRQZBBYVHBMZFQ7hA3vkIQEEDhsO+s0pAgIGAAACAFL/4wOwA6QACwAWAEoAsgMBACuxFQnpsgkAACuxDwnpAbAXL7AA1rQNDQAaBCuwDRCxEgErtAYNABoEK7EYASuxEg0RErEJAzk5ALEVDxESsQAGOTkwMRM0EjMyEhUUAiMiAhIQFjMyNjU0JiMiUvK8vvLywLrykZiDh5yai4EBuNcBFf7v1dH+9gELAYn+m8rJsrjJAAEAb//4ArwDkQAwADcAsgcBACuyFwAAK7EdCOmwDzIBsDEvsCPWsQkN6bIJIwors0AJFAkrsTIBK7EJIxESsAU5ADAxEz4BNzY3NjIXERQXFhcWFzoBFxYUIyQHBiY2NzYXMjcyNzY1ESY0JyYHBgcOAQcGJm8SNw+PTgpKBBAKGQYzCDIIEhT+k4sMCgYKEhMzCB0QKwICAgofMxdLEw4ZAoEMIwpkawgQ/S9GDgYEAgQCBE4EBAIjKQYIBAIIFEAB2wQZBhIGFxoMIwgINQABAEL/+AODA6QALgA/ALIRAQArtAkKACIEK7IuAAArtB0KABwEKwGwLy+wBtaxFA3psTABKwCxHS4RErACObAJEbQDDA4UJSQXOTAxFjQ3Njc2NTQmIyIHBiY3PgEzMhYVFA4CBwYXFhcgNz4BNzY3NhceAQcDBicjIUII5ZKucVhzewgvCl6mZ3WlVKFvWAYGBA4BGTcpHxAfHQwXCg4CRgYxEv1aAisInoGaelhvcQgXFmpbi2VMmZZYPQYICAECAhEcN0oMAwILCP7hHQEAAQB7/pMCwQOqADAAXQCwLy+xCAjpsA8vtBIHAGkEK7AXL7QgCgAfBCsBsDEvsAvWsSwN6bAUINYRsSMN6bEyASuxIwsRErApOQCxDwgRErQAAgsQLCQXObASEbAOObAXErIaIyk5OTkwMRc0NhceARcWMzI2NTQnJgcGJjckNTQmIyIHBi4BNz4BMzIWFRQHDgEXFhcWFRQGIyJ7UiUGFgZSNjlQVEJuFA0MAQBJQGBiCBURBTOZWmSEpAgGCi0nb+CovvwvJxYEEwQ9h2yySDseBjUGnrZMWHEGBBkOZG+Pa5x6BA8EBh9etLz9AAAAAgA2/pMDqAOoACUANwBZALAlL7ETIzMztCgKACIEK7EKKjIysiUoCiuzQCUcCSsBsDgvsB/WsSEwMjKxGQ3psAcyshkfCiuzQBkQCSuxOQErsRkfERKwMzkAsSglERKyECIpOTk5MDE2JjcBNhcWFREWFzcyHgIVFAYvASIGFRYHFCsBBiY1JjcmBwYlNhYzFjcyMzY3NjcCNzYnJgcBOgcIAjwQGxQEGagEGQwEHQayBhcGBiBpChMIBgYOsP74iwYKfY8EBw4KAgIGBgYMBAT+0QInDgNhFAQIDf0JGQoEAggYQgoTAgISCYWmJwIbCrxnKQIKCo4VBAQCDAQCAUR9EAwEBv4wAAAAAAEAb/6WAwgDogAvAGUAsC0vtAMKABoEKwGwMC+wCta0KQwAHQQrsgopCiuzAAoACSuxMQErsDYauviiwG0AFSsKDrAeELAdwLEVE/mwFsAAsxUWHR4uLi4uAbMVFh0eLi4uLrBAGgEAsQMtERKwBzkwMRM0NjMyFxYzMjY1NC4CJyY3Njc2HwEWBw4BBwYjJyYPAQYXFhcWFxYVFAcGIyImbyseFx91IlaBTIt3UhISlo0MEeknBAQzDA4VwRkMTxcEBBFiXrrOnKQxO/7pIS8MKaBuTpiBWDMMHc+aDgIbBB8SSgwOGAIQYh0ICAs9WLDF1YVkLQAAAgBi/+MDngTpABoAKQBVALIYAAArsR4H6bAlL7ESB+mwDjIBsCovsADWsRsN6bAbELEiASuxFQ3psSsBK7EiGxESshIYDDk5ObAVEbEIBzk5ALElHhESsQAVOTmwEhGwDTkwMRM0Ej4BNzYWBw4BBwYWNzYzNjMyFhUUBiMiAjcUFjMyNzY1NCYjIgcOAWKF4v6PJSMVsOljBgwJKQ4QJ7Li6Ky28rKCblg8VoZ4PVspGwHDmgEQxIstCh4dTq6LCgwCCgLitLj4ARGfrsY7VsO4xylkfAAAAQBW/pYDgQOJAB0AJQCyAwEAK7AFM7QWCgAcBCsBsB4vsADWtBoMAB4EK7EfASsAMDEbATYzJAUyFxUAAwYvAS4BNwE2JiMGJSYGDwEGIiZWKQ4xAUwBSiUI/tvTChU/DhMGAdcEHg9a/rMrMhAbBBwZAjEBNSMMDBAh/Qb+UBsDAgIWDgQjCgkGBgIpRGYGCgAAAAMAkf/jA0wE6QAaACYAMgB5ALIYAAArsR4D6bAwL7EKB+kBsDMvsADWtBsMAC4EK7AbELAnINYRsQcM6bAHL7EnDOmwGxCxLQErsQ0M6bAhINYRtBUMAC0EK7E0ASuxLScREkAKAwUKEAQSGB4kESQXObANEbATOQCxMB4RErUABg0VJCkkFzkwMRM0Njc2JyYnNDYzMhYVFAYHBhceARUUBiMiJjcUFjMyNjU0JicOARMUFzY3NjU0JiMiBpFtaBsSugG0joewVmgQDn1iy5iTxYh6ZVZzeZZWQxr4OxkvalhSZwEdao1CDhGNvIOon31Yg0QMCmahZo27sI53iWxSXp5nNYACeZOsISROYnGFYAAAAAIAYv6YA54DpgAXACcAaQCyJAEAK7QDBwBpBCuwCy+xDwPpsBUvsRsH6QGwKC+wANaxGA3psBgQsSEBK7EGDemxKQErsRgAERKxDQ85ObAhEbMQAxUSJBc5ALEPCxESsA05sBURsBA5sBsSsBI5sCQRsQYAOTkwMRM0NjMyEhUUAgYEBwYmNDckNzYHBgciJjcUFjMyNzY3NjU0JiMiBwZi6K667Hvd/vehFBsQAYmFFCZSN6jmsoZ2SEwdDCGBbVA7YAH2uPj+69Os/uq/fyYEGiUGjegvChQB7Mq2yCQOKH+LrskyTAACAJz/7AF1AzUABwARADMAsgcAACu0AwoAFAQrsBAvtAsKABQEKwGwEi+wCNawADKxDQ/psAQysQUP6bETASsAMDE2NDYyFhQGIgM0NjIWFRQGIiacPV4+Pl49PV4+Pl49J1o5OVo7AuEvOTkvLTo6AAAAAAIAgf7ZAYcDMQAVAB4AWACyEwAAK7QDCgAUBCuwHi+0GQoAFAQrAbAfL7AO1rQGDABiBCuwBhCwGyDWEbEXD+mwFy+wADOxGw/psSABK7EOFxEStAwDExkdJBc5ALEDExESsAY5MDE3NDYzMhYVFAYHBiY3Njc0IyIGIyImEjQ2MhYVFAYigUQvP1SBZBAXEpEBDwghCCc3Aj5ePz9eSi09XkpgrCcGNQhYZx0HPAJ7Wjs5Ly06AAABAI8ArgUKBMEAGgAAEyY3NDcAJTYWHQEUBwAHBhcEBRYHFRQnJAEmjwYGGQLDAWojEi39P6EpLQGiAc0dAT/+qP0zFwKgEiEdCgE5jg4lKSEbFP7VPxATuLcMIy1CF38BSAoAAgCLAYEFDAP2AA4AIgAsALIgAQArtBEKAB4EK7AML7QDCgAdBCsBsCMvsSQBKwCxESARErEPFzk5MDETNTQzFiEyFQcOASMhIiYTNjMyJDcyFhUUFhUUDgEiIyEGJ4s6rgNyJwICECP77h8ZBgYlIQNimB8UAgIQDBf79i8LAawxMQQlNx0QEAJGGQIEJR0EGwgODgkGLQABAI0ArgUKBMEAIAAAEzQ3JCU+ASckJSYnJj0BNDYXBAUWFRYHFAYHBAEGJzQmjR0CKQE5EhES/rz94SUEAhsZAeECQSMGBA4d/n39cT0BAgEGIwzdjAgWC4vfDgsIEiUpGQrH/BAbIRISEw6u/u8bRggfAAIAVv/dApYFXAAhACwAdwCyKwAAK7QlCgATBCuyAgIAK7QdCgAWBCuyHQIKK7MAHSAJKwGwLS+wFdawIjK0CwwAQAQrsSgP6bALELEbASu0BQwALwQrshsFCiuzABsACSuxLgErsSgLERK0CQ4YJSskFzmwGxGwGTkAsR0lERKxBRE5OTAxEzQXMhYVFAcGBwYVFBcWBgcGJicmNTQ2Nz4BNCYjIgYjIhI0NjMyFhUUBiMiVsWo05Q7WFZYAgkGDCkIbUxah2FrYh9mG4VvRTM1REM2MwTscQHdrstkKSEdOTVpBA4CBAoKgWVKVyMxZaRaD/uOYj89MzFAAAIA9v8zBt8FkwBVAGYBSACyPwIAK7EDA+mwUy+xRQbpskVTCiuzQEVLCSuwCS+wFTOxNgjptFkKACEEK7BiL7EdB+mwLDIBsGcvsADWtEIMAFEEK7BCELEYASuxVg3psFYQsQsBK7Q0DQAaBCuwMzKwNBCxIQErsCIysTAN6bAxMrAwELE8ASu0BgwALwQrsWgBK7A2Gro9uu8XABUrCgSwMy4OsCUQsDMQsV0U+QSwJRCxMRT5sF0QsyJdJRMruj2G7l8AFSsLsyNdJRMrsyRdJRMrsDMQszIzMRMrsiNdJSCKIIojBg4REjmwJDmyMjMxERI5ALddIiMkJTEyMy4uLi4uLi4uAbRdIyQlMi4uLi4usEAaAbELVhEStQMRFUVTWSQXObA0EbQJHR8/YiQXObAhErAgOQCxYlkREkAMBgsAEhgfIA48QkhPJBc5sB0RsCE5MDETEAAhIAARFAAjIjU0NzYHBgcGBwYjIiY1NBI3NjMyFxY3ND4IMzYzMhcUAgYHBjcyNjc+ATU0ACMgABEQACEyJDc+ATMyFjMWBwYAISAAJRQWMzI3Njc2NTQmIyIHBgL2Ad0BWgEZAWb+18mNAgQOBgQdPW1iSFx5Yot9XikMDQQCAgQEBAkIDAYSRBQBcT8FBDwtcy1IV/7D8P7P/lYBcwEl5wFeYwgMEwQMBBAGVP5p/vr+uP5QAfM0JWJ7NSEnOCtEQ1B5AjUBagH0/q/+8f7+joUnGBQMCAYjOWJ8W3EBA2ePSBQhBA4GCwQGBAQCAgIWAv6Z6zRQAUU1WOZz5QEp/if+qP7T/ovn4BIIAgQZ9P7oAbLPMUGjSGJ7RjVCTmD+8QAAAAACABn/+AWIBWAAVgBtAFUAslMAACuwJzOxAgbpsx0wSEskFzKyEQIAK7Q/XVMRDSu0PwoAIwQrAbBuL7FvASsAsQJTERKwIjmwPxG0Ghs7QkokFzmwXRKwFjmwERGxCWo5OTAxNzY3Mjc2NzY3AScmPgI6ATsBMhcaARYXFhceATsBMhcWFAcGIyYjIgciJyY1NDY7ATY3NjU0Jy4BJy4BBwYiJyIHBgcGFRQXMjYXFhUGIyYiByMmNTQBBhUUFxYyNzI3NjU0JyYnJicmIyIHBh0CEFwbDhsZCAGBDwIGDQ4SDQgGXA9qql4NFCUbN0MPDAUCAgUMg5t8ixAHAhEUXj8RBw0ZWhgEJw81nGgXGjVOEHQOLBIOBAqr3jMXFgH+ARlAfTsKBQMCRDkECQICBgMnNwwBHhA+PRcEFzUEBgQCFP7n/kD6IzVrSi8RCBIIEgYEEAYTFA0CGgsQFiFC80IMEQIDAyOutSceNQIEAgIlIwMDBB0MArACAg8MAgIKBgYFBLy5CgMBCH8AAAAAAwAr//cE5wVIACoAQQBcAIwAsiUAACuxLwjpsAIyshICACuxVwfpsg8CACuxDAXptEg9JRINK7FIA+kBsF0vsAfWsSsL6bBCMrIHKwors0AHAQkrsCsQsTIBK7EgD+mwUSDWEbEYD+mxXgErsVErERK0JSgcLzokFzmwMhGxGx45OQCxPS8RErAgObBIEbEbHjk5sAwSsRhROTkwMRY0NzYXMjY1ETQmKwEiNj8BNiUyFhceARUUBgcGHwEWFRQGBwYjIicmIAcBFBcWMzI2NTQmJy4BJyYnKgEjBiMGFTUUHgEzMhc6ATM+Ajc2NTQnJicmIyIHDgEVKw4nCoU+NX0vEAMNEpoBrn9zTVJha1oQFCnntIVtdxgYov7QjQG5ChfIhapUSR9AJiQYDCQYMBUtDAoCDjAYJAwaUD8bbVtCYykmNS8IFAZDBQYEP40DD5Y7QwICEAEXIyeNVFiLIQYKFXDVjeQbFQEDAwFwbTZ5uIdWlCsSFwMDAQEII5kOFAcCAQYODC2ag041CgQIAhgNAAABAHP/2QWYBVIANABsALIyAAArsSEI6bIDAgArsRsE6QGwNS+wANaxHg/psB4QsRgBK7QVDAAeBCuxNgErsRgeERK0CQMhLDIkFzmwFRGyCwomOTk5ALEhMhESsSwuOTmwGxG0AA4XByckFzmwAxKzBQkKCyQXOTAxExAAITIXFjMyNzYyFxYVFAcUBwYUFw4BJy4BIyIAERAAMzI3PgE3NhcWBwYHJiMiBwYjIABzAaEBUJO9JxoWDggnAhUBAgEBBDEINdyd+P7dAUD3tpgpKycEJxkCMV8bFD1jWJP+vP5pAokBOwGORg8LBghXRg4NEioVIQsSCw2aq/69/vH+6f6QhyU5RhIEBAyqngYeHQGFAAACABn/+AXFBUYALAA/AGkAsg8AACuxMAPpsRYZMjKyBQIAK7E7BemyAwIAK7EoA+kBsEAvsCTWsS0L6bIkLQors0AkAAkrsC0QsTMBK7EKD+mxQQErsTMtERKwDzkAsTAPERKwFDmwKBGxCjM5ObEDOxESsCs5MDETNj8BJDcyBBcWERQABwYjBSInJjU0Nz4BMz4HPAE1ETQmKwEiNTQBFBYzIAARNAInLgEnJiMiBwYVGQIODgGWxMkBBm34/ufflv7+FScGBxcONggSHRcQCggEAzR9EhABmUBgATEBZHBjRIx5REstMC0FEB4DBBABRE6y/sPn/oY/KwISEQwWCQICAggKFwwhDCkKLQQDDYlKGQL7xFBEAS4BOZgA/0w1MgwGAgQrAAEAMP/6BKIFNQBiALEAsl0AACuxAgTpsUsJ6bIYAgArsSoJ6bIWAgArsBkzsQoF6bQxRV0YDSuxMQnpAbBjL7AG1rFIC+mwLTKyBkgKK7NABmEJK7BIELFBASuwNTK0PQwAHgQrsD0QsSMBK7QfDAAeBCuwHxCxUQErtFUMAB4EK7FkASuxQUgRErEYKDk5sD0RsCQ5sR8jERKyGhtbOTk5ALFFSxESsz9AVFUkFzmxKjERErMeIDY7JBc5MDE3PgEzPgE1ETQmIyoDLgInJjc2MyQgFzIHHgIXBicmJy4BJyYjIgciBhURFBY7ATI2NzYXFhcWFRQHFAcGJy4BLwEGFREUFjsBMjY3Njc2NzYXFA4BBwYjIAUmJyY1NDIFHUpkMzNsBAsICgYJCAIGDgYdAU8ByXonAQgHAgIELQ4BFEp/dksyHwwbEgvxeTUPBCkKBgIEGSMBEDh56x0rb6NzUBsxGgQRJQYMDwIETv0n/vIUBQMtFwQEQ4MDC4NMAgQIBAwfCgICFEJuWBEUDgIVfT8CBAIhDP5iEBspbw4EAh0oQmOfGwIEDmosAgIIGf6ody8THjtrEgUEDEJ1bAodAgQKCAoJAAEAUf/6A/4FNABRAMMAsksAACuxQgXpsAIyshICACuxHgnpshICACuxCQPpsh4SCiuzQB4ZCSu0JDxLEg0rsSQJ6bI8JAors0A8MgkrAbBSL7AF1rE/C+mwIDKyPwUKK7NAP0UJK7IFPwors0AFUAkrsD8QsTMBK7ArMrQwDAAeBCuzGjAzCCu0FwwAHgQrsVMBK7EzPxESsSVMOTmwGhGwMjmwMBKxGTE5ObAXEbAYOQCxPEIRErAwObEeSxESshcuRTk5ObESCRESsAw5MDE3Njc+ATURNCYnLgE0Njc2NzIXITIWDwEGIicuASsBIgcDFBYXFjI2Mz4BNzY3NhcRBiInJicmIyIjBiInBgcRFBY7ARYVFAcGJyIjJiAHIjU2UgIQWDpAVAQIAgUEBQICA3MMFwIGDB4UBE6P+BsIAhUIJ1hrHHM9CQIYHwIEMwIKIR9oCAk6djstAUBaFRAEAwcBAav+/lgXARogAwQ4UgOZUjoEAg4TEgYEAQEZCuEHB2g6If5vDBcCAgICIUkUBQQU/pEMDGQaGAICBCX+XlI6BCAPCgkBAgIaAwAAAAEAdf/ZBdkFVgBDAJcAskEAACuxHATpsgYCACuxFgbptCcsQQYNK7EnBumwNjIBsEQvsADWsRkP6bAZELEgASuxPAvpsBEysjwgCiuzQDwxCSuwPBC0FAwAHgQrsBQvsUUBK7EgGREStBYGKi1BJBc5sBQRsQkIOTmwPBKxDC45OQCxJxwRErE6PDk5sRYsERK0ChAAExkkFzmwBhGxDQ85OTAxEzQSNz4BMzIXFhcyNzYXFhQHDgEnAiEiABEQADMyNzY1NCY0NzQmLwEiJjY3FiA3MhUUBw4BJw4BBwYUFxQHBgQjIAB1e25q6KCDzy0SGRAQHwcHAj0CRP69/v7hARvpfY0ZAgJCXFAKDAgOZQEctRYCAgwGSjUCAgITav7Rf/7X/ocCf5gBGmdkWj0MAREEBAKxsBICEAFW/qr+1/7u/qw/CjoOXE4XUjMEAiMjAgMDFQYIDBcCAj1ON3Y9Lwg3SgF/AAEAMP/6BikFOgBuAJcAsm0AACuwTzOxBgbpskhVZjIyMrIRAgArsTI5MzOxDQPpshorPjIyMrQhX20RDSuxIQnpAbBvL7AJ1rFjC+mwHTKyCWMKK7NACQIJK7BjELFZASuwJzKxRQvpskVZCiuzQEVMCSuxcAErsVljERK2ExcuNFNqbCQXOQCxXwYRErBFObAhEbBDObANErBCObAREbAuOTAxNyY1NDc2Mz4BNRE0JicuATYzFjI3MhcWBwYHIgYVERQWMxYgNzI2NRE0JisBJjU0NzYzNjMyBDMyNzYWBwYjDgEHBhASFRQWMxYXFhQHBiMhIicmNjsBMjY1ESYjBiAnIgYVERQWOwI2FgYHISI1BQ8KKkg1PFAIBggKg/d0CAwKBwIXWEQTEoYBPbYQLUNaKRQFCB0WH00BD0UcEBQRCgQZTDkCBAREWCcGBAMHE/27GQIGDhExVEkEIpD+t7cKGzxWCgoOEQwT/fgbCA8MFAsCBDlKA5lQOgQEIRwGBggKIwoCQkz+igoVAwMUDQF0TEIEFgsQEgEIAQIrEAoGPEqL/p7+iTVKPQEQCRIKFBISJD1MAX8lBgYdF/6QUDcCIycCAAEAav/6ApAFNQA1AGMAsjQAACuxAgXpsCcyshECACuxCwPpsB0yAbA2L7AG1rEkC+myJAYKK7NAJC0JK7AbMrIGJAors0AGAAkrsA0ysTcBK7EkBhESshMVMzk5OQCxAjQRErEALTk5sAsRsAE5MDE3NBc+AT8BEScuAScmNTQ3NjMyFxYzMjcyMzIXFiMiBiMOARURFBYXMhcWFxYVFAcGIyYjByJqE14tBAICAi1SGgQGFgjFQjNnLgECHQEGEAQTBl4vOVQXCAwCAQQFCH9//hkZJwEIMFRHAwtHUjYIAxgKDg4FAgcWKwQCRI38rlA1AgIIEgUEDQoOBAQAAAAB/0j9sAJmBTMAOABPALIfAgArsRoD6bAqMrA2L7QLCgAhBCuyCzYKK7MACwMJKwGwOS+wEtaxMAvpsjASCiuzQDAmCSuxOgErsTASERKwITkAsRoLERKwMDkwMQM0NjMyHgEXFhcWMzI3Njc+ATUQJy4BIwYmIy4BNzYzFiA3MhcWFRQVBgcGIw4BFREUBwYHBiMiJrg1JQ4dKwIrCBMVEhMoGCEVAgJCWgQTAhAGCAYZWQD/phYGBAIKBBJWOBwlRneqWG7+Lyc5DiUCIQQIBw4gMaLZBABWVDgCBAIpDAoFBQwJDQQFEgICBjhQ/DKRgLRrtkgAAAEAKP/4BbgFNwB7AGYAsnYAACuwTzOxAgTpskdYbTIyMrIRAgArsSwvMzOxDAXpshkoMzIyMgGwfC+wB9axagvpsBwysgdqCiuzQAd6CSuxfQErsWoHERKwEzkAsQwCERK1HiQ5Q1tnJBc5sBERsC05MDE3Njc2FzI2NRE0JisBLgE3NjMWMzI3MgcUJyIGFREWNzY3NhI1NCYvASY3NhcWIDc2BwYnBgcOAwcGBwYHFhceAhceATMWFxYVFAcGByYjIgUmJyY2NzI2NTQnLgUnJicmBhURFBYzMhcWBwYjJiAHIicmNTQpBBcMGlpEQV0oDgsIBBnRlnFPHQEkXEICISciXvIpSxUZEwQUlAECbR0FBBSTPhIqFi8ERqAZCidOO3OUHkRiYBcGCAEDFCVxl/7hFwQGBg9QMxsOVCVMN0olIyQUDUNbIQUMDAQYf/7wkCEGCSYaCAQEPUYDmVI6AisMDgUDISUBOlL+UhkLDiFUAURPGxAJAhIjDgQEBAIjHQECLQwwIUcGbc0dCBBMOYO/JFAvAQwLDwUEFgQDBQQIDCkCGRYZIxJrL1o3RBsZBQIOFf6MSj8PGxgIBQUICREGAAAAAAEAK//4BJYFNwA/AF0AsjoAACuxBgTpsScJ6bIUAgArsQ8D6bEeIDIyAbBAL7AK1rEkC+myJAoKK7NAJBwJK7FBASuxJAoRErEWODk5ALEGOhESsDw5sQ8nERKxLTA5ObAUEbEQHDk5MDE3NjcyNjIzMjc2NRE0JisBLgE3NhcWMzI3MhcWFRQHBgcOARURFBY7ATI2PwE2FxYVFAcGBwYjJCMiBwYnJjU0LQQMAg0EBpYOBEJcGA4FCAgXV2+n3RkEBB8pGXUsNT/BeV5IRx0OCwNQMxsk/pvvv3IZBAQqFAQEQy1lA0lSPAItChAGAgQSDQseAQQBBBxQ/FY/MClgXwoKBgkFBb5SJwYEBBYGCQcAAAEAMf/0B04FNgB0AOwAslwAACuxR24zM7ECA+myPk1oMjIysi4CACuwGTOxMwPpsBMyAbB1L7F2ASuwNhq6P9D7HQAVKwoOsAoQsA/AsWMJ+bBiwLrAJvurABUrCg6wVRCwU8CxOhX5sDvAuj/Y+44AFSsLsAoQswwKDxMrsw0KDxMrsw4KDxMrsgwKDyCKIIojBg4REjmwDTmwDjkAQAsKDDo7U1ViYw0ODy4uLi4uLi4uLi4uAUALCgw6O1NVYmMNDg8uLi4uLi4uLi4uLrBAGgEAsQJcERKyWl1zOTk5sDMRtSIjJVleXyQXObAuErIVISY5OTkwMTc2FzIzNjc+Ajc2NTYaATU0JicmNTQ3NjMyFxYzMjcyFwEWNjcBNhcWMjc6Ah4BFxYPAQ4BFRQWFRMeATMyFxUGIwYjIiciJyY3NDcyNzY1NCcCAzQHBgcBBiInASYHBgcDBhUUFhcyFxYHBgcGIicmNTQ5CBEKCSgaIB4JBAIGHxAtRBwCBRkEBUdTNzsnCgG2BhsGAaQOJUiGPwIOAggCAgYQFkonBjcKMmAhBAIdRmKU1g4FBAQjbxwUAx0UEQYC/j0COwT+MQYMBgEvBDxUFwMIDAIWUdWEEzEQAgEGCD0vPhAKYAFzASmFLyEGAx4ICRsBBAIU/BoMGQwDyRkBAgIEBgYxAgIGJSsSPgb81ZNAFyMQAgQOEhUQASsgRhofAe4BLRASBgj75woKBBYOAQIG/QRSFTszCRIdDAIGAgIEEg0AAAEARf/oBnEFNwBWAJQAsjoAACuyUQAAK7FNBOmwBjKyEAIAK7AoM7ELA+mxIjAyMgGwVy+wCNaxRgzpsghGCiuzQAgCCSuwRhCxGgErsTYM6bI2Ggors0A2LAkrsVgBK7FGCBESsRJTOTmwGhG1EyQoQU9RJBc5sDYSsDw5ALFNURESsQI2OTmwCxG1CRYXNUFCJBc5sBASsg4VLDk5OTAxNyY1NDc2NzI1ESYnBiY1NDMWMjcyFwEWNzY1ETQmJyYnJiciJjYzFjMyNzIVFBUGBwYjDgEVERQHBiMiJy4BAicBJg4BFREUFxYXFjYWFxYGIyYjIgcGRgEHChSeN28ICCFVkj4dFANFDBMECBISKCFPDA0KD0Bmh8oNAQQGEnczJAgGFwUEifhk/iUGCwYMFE8OKS0ECgoZj26SVhASCAYQBw4BdgQLKQICFg4hAgIY/EESHggJAqRYRxESBgQFJCEDBScFBA0DBQQ2dvvGGwQBDASbARlzAhwECBYR/Q1oJEIFAgQICRIvAwUCAAACAG3/2QYnBVYACwAZAEQAsgkAACuxDwTpsgMCACuxFwbpAbAaL7AA1rEMD+mwDBCxFAErsQYP6bEbASuxFAwRErEDCTk5ALEXDxESsQYAOTkwMRMQACEgABEQACEgABMQADMyPgI1EAAjIgJtAZ8BRgE/AZb+YP7H/sH+Xt0BN/CDvGsv/sr70/wCfwE5AZ7+g/7d/sn+WgGFAVb+5/6KYKzNewEhAXL+sgAAAgAz//YETAVGADkASQB6ALIiAAArsRcI6bAsMrIEAgArsUUH6bICAgArsTYH6bQMPiIEDSuxDAPpAbBKL7Av1rETC+mwOjKyLxMKK7NALwAJK7ATELFBASuxCQ/psUsBK7ETLxESsCQ5sEERswwXHSIkFzkAsQwXERKwETmxNj4RErEJQTk5MDETNDM2JTIXHgEVFAQjIiciDgEHEQYXFjMyOwEWFxYHBiMiIyYjIgciJyY1NjMyNjURNCcmIyIjBwYmARQXFhcyNjU0JyYjIgcGFTMRkwFEqGiFnP7x7yVCBggEAgEgHVMHCEcQBgUHBg0BApeff4QdCAYCO0wxFBI2AwNmBgkBnh0rJJqajEtnJSkUBRAjEgEbI8J/wd8KDhUK/sdRGBYEFhYUEgYEDAwPLRw4A7BkIiACAhL9jxsHCAG/pstJKAUCLQACAFz+UAZ7BVYAIQAuAF0AsgMCACuxLAbpsBkvsREE6QGwLy+wANaxIg/psCIQsSkBK7EGD+myBikKK7NABhMJK7EwASuxKSIRErUJAw4bHwskFzmwBhGxDxk5OQCxLBERErMGABslJBc5MDETEAAhIAARFAAHDgEXFhceARcWFRQHBgcGIyIlJicmJyQAExAAMzI2EjUQACMiAFwBqgFGAT8Bh/7q5QYFCHOmYIZgCBkQDDsu3f74gw0hR/7P/o3dATzzkdpi/tf61f78AoMBNQGe/oX+2/D+hkwCCgYtjlI9BAIHDBoQBQzhbQoZGhsBeQFF/uf+iLwBC48BJQFu/rIAAAIAJf/hBXYFRgBYAGcAoQCyVQAAK7FIBOmwBTKyLAAAK7EnB+myFAIAK7FlA+myEQIAK7ENA+m0PF0sFA0rsTwH6bE+QDIyAbBoL7AJ1rFDC+mwWTKyCUMKK7NACQIJK7BDELFiASuxGQ/pshliCiuzQBkpCSuxaQErsWJDERKzNh1PVSQXObAZEbAcOQCxSFURErEBKTk5sDwRsDY5sF0SsB05sA0RshkcYjk5OTAxNyY0NzY3MjY9ARE0JiciJjY/ATYlMhYXFhUUBgcGFx4BHwEeARcWFxYVFA8BIgYjIiYnJicmJy4EIwYjIiciBhUUFx4BMzI2Mh4BFxYHDgEjIiMiBSYBFDMWMzI3PgE1NCYjIhUpBAQGN1xANZAIDAYOFYUBYrKrUXFxXBIODlIZcyEtMy8/FAcNCikKeYMzRGonKwINCgwQCWo+Dw0OGwICO1wEFQ4RDAIGBAIWBRItif57FAGbFDMnSyRkb5bAWgoIFg0QATNSRwMNljsCGiMGAg4BOElmmnG+MAYUGYkjrDEvKSUMDhEKCgkEQjtQpj9QBBcOEwgNARUMxWpSMwQCCQgbEgYKBAYCkykDDCOzcaKuLwAAAAEAc//ZA6wFVgBDAIwAsjoAACuxCQTpskEAACuyHgIAK7EtBumyJAIAKwGwRC+wG9awADK0MA0ALgQrtAQMAB4EK7AwELEMASuxNwvpsys3DAgrtCgMAB4EK7FFASuxMAQRErE8QDk5sSsbERKyJDQ6OTk5sCgRsCY5ALEJOhESsT5COTmwLRG0AhspKjckFzmwHhKwIjkwMRM0NhYXHgEXFjMyNjU0LgcnLgM1NDYzMhcWMzI3NhcWFw4BJyYjIgYVFBceAxUUBiMiJyYjIgcGJyZzGB8EH0E6VlZ1jQofFzcZRxNOBEpXazHJo0JoORMMFRsUDBsCMQRiwWBrdTHTjXXpvUSRMwoQDxceGQFICggCBl5nJzuDZB0zNiQ0GDEPMwIxRGh3Ro2yIxISCAgf9xQBCvpmVGRnLY9psGKk0ysOFgoKVAABAEb/+AU3BWIAVABoALI4AAArsTEE6bBCMrIKAgArsU4J6bAlMrJOCgors0BOUwkrsB0ysgQCACuwFDMBsFUvsADWtFEMAB4EK7BRELFHASuxLgvpsVYBK7FRABESsAI5sEcRswQLPD8kFzmwLhKwOjkAMDETNjc2MzIzFhcWMzYgBRYzMjc2NzYWFxMUDgMjIi4CJy4BIyEiBhUUGAEdARQWOwEyFxYHBiMmIyIHIicmNzY3MhcyNj0BETQmKwIiBgcOASZGCBgOEgMCFQQQY5QBpgEREg8tDhIJBi0LIAIGBggEDA8IAgIZOzj+1QoSP1w8EgsGBgYbZoep3RQFCAgIE0IMTjkhDuwrOT0bCh0WA/aouAwCCiMDAwEFBhkKBAb+ngQJBAICAg0GCn9UGwpm/qr+ZkRHUC8bEhUQBAYOGRgOBQI/UjkDngoXXIwGAgsAAQAv/9kGWAU3AEIAYACyNAAAK7QUCgAfBCuyAgIAK7AiM7E9A+myCR4oMjIyAbBDL7A51rERC+mwERCxGAErsSwM6bIsGAors0AsJwkrsUQBK7EYEREStAQHISM0JBc5ALE9FBESsSw5OTkwMRM2NzYgFzIWBicjIgYHFAYVERQSMyA3NjU0NRE0Ji8BIiYzNjIXMhQHDgEVERQOAgcOASMgAy4BNRE0JiciJyY3NDADDysBf34MCQoLFFo+BALB7QExWyBBdw4QBxdy/IwSEndGBh9JPly4kv53jR8QPHQKBgQBBSIQAQQEIyACOlQOPQ/+cfr+3/RTvQYFAXKsYQIEPwICPQIEYab+iGRpkG41UkYBM0Z1lQIXUisCEAoLBQAAAAEALv/MBe4FMwBDADQAsjoAACuyJgIAK7AGM7EhA+myDzFCMjIyAbBEL7FFASsAsSE6ERKxGDI5ObAmEbACOTAxEyY1NDc2MxYgNzIXFgcGBw4BFRQXAR4CNjcBNjU0JisBLgE3NjMWMjcyFxYVFAcGBw4BBwEOASMGIyInIicBLgEnJjEDBQQfigEMgykEEAwCF2pYIgE+AgoREAYBKx1GYBEMCAYEGXjudw4EBwEEDlhUM/5kBBoJDhAVFhIN/kgvQGASBPoJCAwMEAQEBhQZCgoEHSEUW/zsBAwPCBEDCEwvKScEJwwIBAQGCQwGBhQCAlKD+9cKHQMFIQRLdzMCBAAAAgAd/9cIiQU7AGQAeABIALJYAAArsEwzsiACACu0AgY6PkAkFzOxdwXptjYbJAlEX3QkFzIBsHkvsXoBKwCxd1gRErUSLUdRa3UkFzmwIBGxNWM5OTAxEzYzNjMyFzIGByMiBhUUFwEeATY3EzYnAy4BJy4BMzYgBTIGBw4BDwEGFxMeATY3ATY1NicmJy4BNhcWMzI3MDMyFxQjIgYHAQYjIgciJwMuAQYHAwYjIiMmJwEuAiciJyY1NAUUFxYXFjMyNzY/ATY1NCMGIiciIwIlhIx4fhAGChNEIicBRAIOFAu2CAqSJ0NzDgQUUwGzAV8XBwxxSidmCgrsBA4SBwE5IAEEDm0MBQ8KP1VymgERBBhaTi3+WgY8AgI3CPQCCg8I6QcyBgY8Cf5fJzhFWBQLDgQQDgRKAgIDBggENRs4GCwSNwUlDggGPwQXIyFg/NMIDggYAcESHQFeYC4EBD0CAj8EAi9h+iEY/c0IBBIQAzpaJQ0GGAQCIRwCAwUgIUJ3+68QAQwCSAgICBL9whACFQQxZk4WAwYHEQw/DCsIqgQGCgqBQBAdAwMAAAAAAQA1//oGJQU3AHAARwCyWQAAK7A/M7FUA+myOUZgMjIysgoCACuzBiYoKiQXM7EPBemyIC5vMjIyAbBxL7FyASsAsQ9UERKxGU05ObAKEbAIOTAxEyY1Njc2FxYzMjcyFxYGIw4BFRQeAhcTFjcSNzY1NCcjIiY3NjMWMzI3HgEGIw4BBwMGFwEWFxYXFhUUIyYjIgciJyY2OwEyJyYnASYGBwEGFRQ7ATIWBiMmIyIHIiYzPgE3PgI3AT4BJwEuASciNwIBBAgYiYWblx0FCBIWVjYREhsE0xAZzx4XRjEfDgwIG3BqhXwQDQwPe5lexwYIAWlYHDV9ExVFbpPcHQYGBgwVbQECP/77BhoJ/uIxfRIODQkO3YJWLhIBFVhmLQYdHxABKQQEBP7VYFx5GwT6CAkLDBQBBggQEiMCERQKHxkjBP7mFyMBEi0iFiYBKQwMBAYCIx4Ge33++AoT/ilzFCcPASEdAwUKDikrG1YBYgQICv6aQh0rICEEAkYGKzsIJycVAXgEFwQBgX03AgAAAAABAB//+AXXBTMAVgCAALI/AAArsTkE6bFISzIysiQCACuwCDOxIAPpshEtVTIyMgGwVy+wT9axNgvpsjZPCiuzQDY+CSuyTzYKK7NATwIJK7A2ELEcASu0Kw8ADAQrsVgBK7EcNhESsiEnPzk5ObArEbEoLTk5ALEgORESshMXSTk5ObAkEbECKzk5MDETJjU0NzY3NjMyMxYgNzIWBiMiFRQXARY2NxM2NTQmKwEmNzYzMjMWMjcyFRQnBgcGBwEcAhUUFhcyNhcWFCMmIyIHIiY3Njc2FjM2NzY1NCcBLgEnIiABAgIGBQYBAsUBFE4IEwoXf0ABEgglCttCL0YUEgIBEgIBWeWLEhJoQh9M/tEzQAgxChkZ9J1pQxANBggjCioEbQUGBP6KSGBfGQT+BwYICAwHBQMDIR4pHWL+WgoSEwFybRwfFwgeGwMDHyMBBkQhf/3+LX2DDjtCCAIEBkYEAisQFAECBAZ9VlBAPQJJcUQEAAAAAQBK//oFFwUzADUAQACyEgIAK7EHCemwKi+xHArpAbA2L7AO1rQKDAAeBCuxNwErALEcKhESsAI5sAcRtAMMDhciJBc5sBISsBY5MDE3NDcBNiYjISIGBxQGJic0NzY3ITIWBwEOARYzITI2PwE+ARYVBgcGIyIjIgQjICciJicmNTRKCgNtCh0M/kqcUhIZHQQKBCkDzyEbEfycCAYaJQIInHEQAgQhGwgTBDYCAj/+M3/+SgoKEwcFHw4QBHcOD0SXBgQKCslWDgYfIPudCBIVdaAUBgkFBtOoGAICBAkHCQMAAQDV/isCLQWFAB8ATQCyDAIAK7EHB+mwHC+xFgPpAbAgL7AA1rACMrQZDwAMBCuwCjKxEg3psBAytAoPAAwEK7AaMrEhASuxEgARErARObAZEbEMHDk5ADAxEwITNDY3NhcyHQEUIwYHBhcCExQWHwEeAR0BFCMGJybVDAwSGz/HJRB7ERkBCAghSzIOCCdWrC/+VAN/A30dFgIGBg4fEAoJDi/8vvz+KRYGBQIGDhcSBgYEAAAAAAEAUv/ZA30FZAATAAATJhczOgIeAxcBFg8BBicmJ1IQSysEEQQKBAYHBAKNFCRWGw4CAwVGHwECAggKCPrMKwQKBB8EAgAAAAEAQv4rAZoFhQAgAE4Asg4CACuxEwfpsB4vsQMF6QGwIS+wINawEDK0Gg8ADAQrsBgysBoQsQcN6bAHL7AJM7AaELQQDwAMBCuwEC+xIgErsRoHERKwCDkAMDETNDYXMz4BNRIDNCcmLwEiPQE0OwEhHgEVEgMUBwYnIjdCFBkaSiMICBkMSDcQGAwBBxsSDg4wrFYnAf5UEA0CBhYrAwQDQi8MBgcEEB8OAhQf/AL9AiUEBgYSAAABAC4CrAO+BbAAFwAAEjY3EhMzABMWDwEGJwIDJgcGAwYjIi4BLQIK48ktAQCsFyspIxSYohcScdAOJwQjDQK8FRABmAE3/l7+yyUEBAQnAQ4BAiUfrv6QGwIEAAH/7P4lBEr+kgAUAB0AsBAvsQsK6bADMrEGCumwAjIBsBUvsRYBKwAwMQM0PgEeATMhMjYyMzIdARQHIyEiNxQMHx4zFQMlBD0tESkVK/wvTgH+gQgIAgICAhg8FAQlAAEAjwPPAdUFRAAMACoAsgQCACu0CQoACwQrAbANL7AL1rQIDAAeBCuxDgErALEECRESsAs5MDETJjYzNzIXFhcWBicmjwoVEp4dCjspAikMbQUbCh0CEZyyEggMjQAAAAIAM//nAzMDcwA4AEoAjACyGAEAK7EJCOmyNgAAK7AtM7E7CemyNgAAK7QiCgAhBCuyOzYKK7NAOycJKwGwSy+wANawFDKxSg3psQwN6bBKELE+ASuwBjKxHw3psUwBK7E+DBEStgMCGDA2O0gkFzmwHxGwLTkAsTs2ERKwMzmwIhGzKy8wMiQXObAJErcAEhQeKT5ESiQXOTAxNzQ3Njc2LwEmJyIGFRQXDgEHBiY1NDc2MzIWFx4BFREUFjI3Njc2MxYVFAcGIyInJiIPAQ4BIyImNhYzMjY3NTwBJicmIgcGBwYVM9lScRcBAgSHI1IGCmAQGxWCaFhCgSIZChUxDBkYCgkUBodSWBMGBAoKQlY5WG+eQTAhdAwEBAIFAy9jbqCYORc0DheDuAE8ICMPCi8ECgwdTGJUQjMhO2P+jD0oBwgWBgQUCxB3awYICDkoZz1BSyGYBgoVBAICFyktTwAAAgAQ/+EDpAXPAC0APAB8ALIZAQArtDgKACQEK7IZOAors0AZBQkrsiUBACuyHwAAK7EzCOkBsD0vsCPWsS4N6bAIMrIjLgors0AjAQkrsC4QsTYBK7EcDemxPgErsS4jERKxBQQ5ObA2EbEZHzk5ALEzHxESsCM5sDgRsxANJBwkFzmwGRKwETkwMRI0PwE2MhcWBwYQFxYXMjc+CDMyFhUUACMiJyYnNhADNCY1JicuAQEUFx4BMzI2ECYjIgcUBhAP+gwRBAgDAwMGCwICBCcQJxclHCEfDom//vzNaLEQBAMDAgIrDjwBEBEQY0dzj49tQo0CBUQvBFQEBAgbav624C8CAgQbDBsMFQwKBvGo1f7nJwYf/gJJAUoUMgQhBgIK/IG0Qz9PwQE3xWcElQAAAAABADP/5wMeA3UAIwA8ALIDAQArsQ0E6bINAworswANCQkrsiEAACuxEwrpAbAkL7AA1rEQDemxJQErALENExESsgAWHTk5OTAxEzQAMzIWFRQGIyInJiMiBhUUFjMyNzYXHgIXFhUUBwYjIiYzASHPZJArHzVKOTxmnKB7k14KGQYEBQIHConhotUBi80BHUo5IStIOdmUnsaJHwYCBAkEBQkKD9fuAAACAC//4QQBBeIAPgBLAJ8AsgMBACuxSQTpsjwAACu0QgoAIwQrsy9CPAgrsSkD6bIyAAArshECACuxFwfpshcRCiuzQBcbCSsBsEwvsADWsT8N6bA/ELFGASuxCDYyMrEgDemyIEYKK7NAIC0JK7FNASuxRj8RErYGEAMXFDo8JBc5sCARsBg5ALEpLxESsiM5Ojk5ObBJEbMgAD9HJBc5sAMSsAY5sBERsAk5MDETNAAzMhcWNjU2NCcmJy4CJyYnJjc2NzY3NjMyFxYVERQWMzI3Mj4BMhYXFhUUBwYHBi4BNDc1NCYHBiMiJjcUFjMyNzY3ESYjIgYvAQjFSGIIDgMDCgYMJTMLFAIEAgQQj3MIBQgGCBUjCCUCEgoPCgIFC4mMDhIHAgwKuGmPx6SRbVh9EARtfnGLAYfNARYgAiAVRM2LHQMIBQICBAoUCRACLSsDBgsX+zZSIwwGAggIEAoQBUQjBg0aGQ4RDhYGf/juntNUCCcBpJy7AAIANf/hAzwDbwAlADIAVgCyAwEAK7ExA+myIwAAK7QYCgAgBCu0KhEjAw0rsSoD6QGwMy+wANaxFQ3pshUACiuzABUKCSuxNAErALERGBESsQAbOTmwKhGwCDmwMRKxBwU5OTAxEzQSMzIfARYXFhUUBwYHBiAnIgcGFRQWMzI3NhceAQcGBwYjIgITBhcWMyEyNicuASMiNfC0z1gQDB0DAQIaT/7uxCUCBLCDj28KFQwOBkRNc3+i2bABDA4IATMQIwIXZULHAZ7JAQi1Ih8jCQwFBhIBAwMVFyaez4MOAwQdClA+WAECAZAFBAYNDFReAAABACP/+gODBdEASAB7ALI4AAArsTEG6bBBMrIYAgArtAsKACMEK7IRAgArtCIpOBgNK7BHM7QiCgAhBCuxAgPpAbBJL7BE1rAEMrEtDemwHTKyLUQKK7NALTYJK7JELQors0BEPQkrsUoBK7EtRBESsAc5ALEiKRESsQQmOTmxGAIRErAUOTAxEjQ3Njc0Nz4BNzYzMhYXFhUUBw4BJicmIyIGBwYVFBUXFDsBMh8BBiMnIgYVERQXFjMyOwEWFxQjJiAHIic0NzYzMjY1ESYnIyMKXjwEBjtQlqw5iR0GKQ4fEhViYj9pFR0CH5gZAw8EFa4KERQSWQgHRRcEEpz+/mYQAQQGH0glBhOBAtk3BxQjCGZ9nlakMSsJDhRCFAQKEFBKPU9uBweNKRNcEAISCf5MjxkYAikhBQUhEAYOTIMBqh0EAAAAAwA3/gADnANvAEUAVQBhAOQAshoBACuxXwXpslIAACu0PAoAHwQrsgoAACuwQy+xSQrptDJZUhoNK7EyBem0HSpSGg0rtB0KACMEKwGwYi+wF9awDDKxVg3psAAg1hGxRg3psBcQsTgN6bBWELFcASuxLw3psC8QsUwBK7FADOmwJDKxYwErsTgXERKyBQoPOTk5sFYRsAk5sFwSQAoVGjI2PENJUFQUJBc5sC8RshwsPTk5ObBMErAqOQCxUkkRErIFQAA5OTmwPBGwCzmwMhKyDw42OTk5sFkRsRU0OTmwKhK1FygtL1ZcJBc5sB0RsCQ5MDETNDY3PgI3PgEnJic0Nz4BPwE+AScmNTQ2MzIXMzI3NhYXFhUUFQYjIicmBhcWFRQGIyInBgcGFRQeATMWFxYVFAQjIiY3BhYzMjY1NCYnJiInBgcGExQWMzI2NTQmIyIGNz4/CBESBgoJCI8BVg4oCggKCgShxpKJUBApkRcOAgcEERtkBBICEsWVKSsENScQeXXlXmn+wt1z15YCsnVmy2V/MZUnBBdqN2lPTl5sUEhg/uFGWikGCgsECBYFM2QpLwgXBgYGDQJRq5PFVhYEChc8IAQEGw8CDgUtOYmuDAYvIRQOFRcEKy+NnNV/mk5jhUxIRAoEAggXagL6e5B6anWXgwAAAAEAIv/5BCAF1QBlAKQAsh4BACuxRgrpsh5GCiuzQB4TCSuyWgAAK7AxM7FQBemyACo7MjIyAbBmL7AF1rFNDemwFzKyTQUKK7NATVQJK7IFTQors0AFZAkrsE0QsUEBK7EiDemxJScyMrIiQQors0AiLwkrsWcBK7FNBRESsRNcOTmwQRGzHjc6WyQXObAiErEzNTk5ALFQWhESsC85sEYRswMaJwIkFzmwHhKwGDkwMTc2Nz4BNREnNCcuAScuATc2NzYzMhcWFREUFjc+ATMyFxYXFAYVBhUUFjMyFhcWFRQjBiMiIyYjIjUmFzMyNjc2NTQmJyYjIg4BBwYVERQWMzIXFBcUBwYjIiMmIgYiJyIjIiY1NCkCKUYkAjMONw8MBBBcqgYFCgYKDwpSe1KsLRcDCAQvUhQJAgEOS1gsL40pIQQVDEgxBg4WHzFOJ04iMgorRB0CAggGBwICGmeZah4BAQcKOQIJBEWBA6hOLQgCBwICMQYlMQIGCh/9iQ4fBjMvkUSfMbUGWi0nFhAZBgUWAQEjIQEnOnudh2sjNRsSHwYQ/hZOKRASCQwIBgECARQOEwAAAgAp//oB+gVSADIAPABbALItAAArsSUE6bI2AgArtDwKABQEKwGwPS+wDtaxIA3psDkysCAQsTQP6bA0L7E+ASuxDjQRErAZObAgEbIuNjw5OTkAsSUtERKyCQorOTk5sDwRsRIcOTkwMTc8AT0BNDc2NzYWNz4BNRE0JicmJy4BNz4CNzYeARURFBceATM2FhcUBhUUIyYiByInEjQ2MzIWFRQGIikICg0KFgs/GxEmLyUKAwoQdFwaFxYHAgIiQgoZAgIdiM1EEgVtPS0xPkJeDAQLAwsLBggCAgQCCDl7AW9MHAgKDQIrBgYtIQYKFBcU/bJOHDcZBBEKAg4EIQMDEASwWj48Ly07AAL/Jf4MAV4FOwAoADIAWwCyLAIAK7QxCgAUBCuwJi+xBwnpsgcmCiuzAAcDCSsBsDMvsAzWsR8N6bAuMrIMHwors0AMGAkrsB8QsSoP6bAqL7E0ASuxHwwRErEsMTk5ALExBxESsBw5MDEDNDYzMhcWMzIzMjY9ARE0JicmJy4BJyY0NzY3NhYVERQGBwYHBgciJgA0NjMyFhQGIyLbKx8hMzg+AQFEPwYOEicMLgYICHOLFxYOGx81WpdYcQFaQi8xPT8vMf6DK0I+QXKDfwKSQh4ICgcECAIEKwQxLQgcFfzNh30/SDliAUQGVlo7O1o+AAABAB//+gQGBckAaAB6ALIWAQArsRED6bAeMrJQAAArsDIzsUcD6bIpOlgyMjKyaAIAK7ECB+myAmgKK7NAAgcJKwGwaS+wW9axRA3psAkyskRbCiuzQERKCSuyW0QKK7MAWwEJK7FqASsAsUdQERKwSjmwERG1CgsdIzxAJBc5sBYSsBw5MDESNDc+ATc2MzIVExQ/ATY1NCMmNz4BMxYzMjcyFRQnBgcGBwYXFhceATsBFhcWFRQHBiMmIgciNTQ2MzI1NCcBJgcGHQEUFjsBMhUUBwYnIiMmIgciNSY2MzI2NRE0JyYnLgUrAR8MO5AlCQcdAinZNVwZAgILEDY8eZIUDIV3j0oOFvZ9KTMxFQoDAQIECFzegxAKFUcv/vgMAgIcUhkQBAMHAQFu0WMOAgoWSh8CAkQGCgoLBgYCAgU/MAQOOwsCJfyXHxmeJwoZDBkQDAEDISMBAl1qMw4X/n0pHQQQBwYKCA4FBSMUChwNNAEYCBQIDZGPMiIPCgkBAgIhFw1AjwOIRiYfDgICAgICAgAAAAABACH/+AH6BcMALwBQALInAAArsQUD6bAdMrIOAgArsREH6QGwMC+wCNaxGg3pshoICiuzQBoiCSuyCBoKK7NACAIJK7ExASuxGggRErESKTk5ALEOBRESsBo5MDE3JjU0NzMyNjURNCcuAScuATc2NzIzNhcWFREUFjMyFxwCFRQjBiMiJyYjIgciJiUEEBdQLSESRBEMBBCJhgECCgcIIUolAhk4Ozw8UTccFQQSDA0KFAg0VAQ1HwYEDAIELwcjMwEOEA77MVwuDAIKCgIhAgIDAQoAAAABACD/+gZrA4QAggDXALIfAQArsCgzsW4K6bBSMrIWAQArsn4AACuxP2AzM7F0A+m1BjRJWGVnJBcyAbCDL7AJ1rFxDemwGjKycQkKK7NAcXgJK7IJcQors0AJAgkrsHEQsWoBK7FVDemyVWoKK7NAVVsJK7BVELFPASuxLg3psi5PCiuzQC45CSuxhAErsXEJERKwFjmwahGzHmJkfyQXObBVErIjImA5OTmwTxG0JChER14kFzmwLhKxMUM5OQCxdH4RErE5Ajk5sG4RQAoQGxwdIiMkLDU3JBc5sB8SsCU5MDE3JjU0NzYzPgE1ETQnJi8BJjY3Njc2MzIXFh0BFjc2NzIWFxY3PgIzMhcWFRQVFAYVFBYzNhYXFhUUBxQHBiciIyYiByInJjY7ATI2NzY3NCYjIgcRFBYzMhYXFAYjJiMiByImNzYzMjY1ETQmIyIHERQWMzYXFhUGBwYnIiMmIgciIwMFBidEKAYKSi8MBAhYtQUECgUGAhnHekZoFwQTSEOFN4c2HggxWAYbBgkBBgUGAQI646oUBgYEEBVCLAYKAT5UTK4tRBALAg0ImnpSRBIEEgQXUCtKQFKwLU4OBQ4CBgUGAQFk2XUOCAgIDA0OBEiDASWRCRcKBgIxBCkvAQcKFXkUEosBUEYODjMrOHtGzAcGN9U4MRwCAgUEEwYJDQoJAQICDAorKUKLlL6Dd/4nTC8MEgwXBAI3CAJGiwFOUFp3/idOLQQEBCALCgkBBAQAAQAf//kEBAOJAFoAswCyHgEAK7FECumwDDKwRBCxDwfpshQBACuwNy+wTjOxPAPpsgImSjIyMgGwWy+wBtaxRw3psBYyskcGCiuzQEdMCSuyBkcKK7NABlkJK7BHELFCASuxIA3psiBCCiuzQCAqCSuyQiAKK7NAQjoJK7FcASuxRwYRErIRUFE5OTmwQhGyHjVPOTk5sCASsSMzOTkAsTw3ERKwKjmwRBFACQsXGRogJztCRiQXObAPErAbOTAxNzYXMzI2NRE0JyYvASY0Nz4BNzYzMh0BFBY3Njc2MzIRFAYVFBYzNhcWFRQHDgEjIiMiJyIjIgciJic0FzM+ATc2NTQjIgcRFBYzMhcUByYiBwYjIiciJyY1NCEEDgxILQgISCkKCiGsJQoHHg4IYEpWOuMQIUUSDwYCAggPBAIrljInTR4UCwIRDkQzBgyVYJwtUA4EHBhhSjEmTSEZAwQoFAFOhwEZlhASDwgCMQQGSggCJXAGGQZEJSn+jz32QC8bDBILDggKDAYBAQwVIwEGLj938uN5/jFOKSIhAgEBAQMKCAsHAAIAM//hA9MDcQAOABoARgCyAwEAK7EYBumyDAAAK7ESBOkBsBsvsADWsQ8N6bAPELEVASuxCQvpsRwBK7EVDxESsQwDOTkAsRgSERKyBwkAOTk5MDETNAAzMhcWFRQVFAAjIgATFBIzMjY1NAIjIgYzAQjFx4eF/vbDx/70srmBbZG7f22RAajFAQSEgr8DA77++QEEAQS6/v65j7IBALQAAAAAAgAM/cYDzQOkAEAATQByALIeAQArtEkKACIEK7IVAQArsiQAACuxQwjpsDwvsQIF6bAtMgGwTi+wBtaxKg3psRdBMjKwKhCxRgErsSEN6bFPASuxKgYRErEVODk5sEYRsx4kMTYkFzkAsUk8ERK0DhkcISckFzmwHhGxEBg5OTAxEzY7ATI2NRE1NCYnLgM3Nj8BNjMyHQEUNzI3NjMyFhUUACMiJyYGHQEUFjsBMhcWBwYjJiMiBwYjIiciJjU0ARYzMjY1NCYjIgcGFQ0DERJWLRIjDC8ZAgYCCuIWDRQQAgK4a4G//vG2PVwMDS9WHR8GCAoGFS5LOUpnNyQPGwwBSnV3ZoWXb1ZvDP32FlCWA1AxJxQKBBEEIwYECo4OH38pAgKD9aLD/t8dBAob85NNEB0SDAIBAgEUDwUCv2+1iZzQWAwYAAIAP/3JA/gDbgA3AEcAlACyAwEAK7ANM7FFA+myNQAAK7E7CumwIC+xFgPpsCcyAbBIL7AA1rE4DemwOBCxLAErsD8ysRMN6bITLAors0ATGwkrsiwTCiuzQCwlCSuxSQErsSw4ERKzIgMzNSQXObATEbIFDSE5OTkAsRYgERKwJTmxOzURErEuLTk5sEURswAyMwYkFzmwAxKyBQcIOTk5MDETNAAzMhcWNzY3NjcyMzIXBgcVERQWOwEyFxYVFAcGByMmIgciNTQ3NjMyNjURMzQuAgcGIyImNxQWMzI3NjcnJicuASMiBj8BA7x1dBcIHRoKEQECDggOAStEFA4DAgYEBxJz5XEnEQ5CVC0CAgQJBJOLlsOeoHVcbAkGAgIRF3BGe48Bj8cBEjsMECEUBgIKN2Ja/IWPWxQHBQ0KCgIEBB4hCAJOlgFHAgsSCAR79O6g1VwIHeumND1QuwABACn/+gK3A38ASwBiALInAQArtDYKABwEK7IZAQArskMAACuxPQXpsAUyAbBML7AI1rE6DemwHDKyCDoKK7NACBEJK7AAMrFNASuxOggRErEWRDk5ALE2PRESswsjITIkFzmwJxGyDB4uOTk5MDE3PAE2MjMyNjURJi8BJic0PQE0NzY3Njc2MhcWFRwBFxQWNjM2NzYzMhceARcWFRQHBgcmJyYjIgcQFx4BOwEyFgcGIyYiByIjIicmKQYKC0ouBg5WHwQQGWBKMQkOBAoCBgQCPSAaIjZMBhkEEwEQKxsxLR1ERQICK04tDg0PAhqk2jYDAgsEBB0OBgxMhQGKGwMhDA0CBBASBQwhGRgEAwcTGWAWCAgChRAOIgIIAQMOAwQxUAIYF4P+nDZOKTcMAgMDBwkAAAABAEb/5wJIA3sARQCCALIDAQArsREE6bIRAworswARCwkrsioAACuwJjOyHwAAK7E3B+kBsEYvsADWsC4ysRQM6bQ1DAAeBCuwFBCxOgErtBwNABoEK7MOHDoIK7QJDAAeBCuxRwErsQ4AERKyAxgfOTk5sAkRsAs5ALE3HxESsCQ5sBERswAcLjIkFzkwMRM0NjMyFxYVFAcUIyImNy4BIyIGFRQXHgIXFhUUBiMiJyImJyIHBiMwIyYnJjU0NSY2FxYXFjMyNjU0LgUnLgJGm3lOXgYCHAwRAg5SOjE/exRUPRlGnm81MQIfCBALGAcBEgMSAhgTCgQriTdOCh0SMRE5BDlGPQKBb4snUj0lHQoGBFJaPS9IWg44LxtMXmqRDgwCGgcCE5BLCAYMBwIEEbhONRQnJxklDicCJzllAAEAKP/pAl4EQgA5AGgAshMBACu0GQoAJAQrsDMyshMZCiuzQBMICSuyAwEAK7IsAAArtCEKACMEKwGwOi+wL9axHg3psAwysB4QtAQMAB4EK7AEL7E7ASuxBC8RErADOQCxGSERErIkKC85OTmwExGwAjkwMRM2NzY3NDc2NzIXFhcGFBceATsBMgcGBwYjJyIGBxEUFjMyNzYWFxYVFAcGByImPQERNCcjIicmNTQrBAx1SA0ICAUEDAEDAwIQB+MjCwQOChfCCBUCOUpCOQIlCAYEVJxgewwpEBkJAx8IBjvJBwYDAQIECzxbHQgTICEjEAQRCP6WnnFtCgIKBwsJDLoBkHBUAZoSBQYPDQgAAQAo/+wELQONAFAAgACyIwEAK7AHM7JGAAArtA4KACIEK7I8AAArAbBRL7BI1rELDemySAsKK7NASAAJK7ALELEUASuwPjKxKA3psigUCiuzQCg1CSuxUgErsQtIERKwBjmwFBGyHyBGOTk5sCgSsCU5ALEORhESsjU/Qzk5ObAjEbQrMkFCSCQXOTAxEzQ1NDc+ATc2FhURFBYzMj8BPgE1ETQnJicuASciJyY2NzY3MjMyFREVFDMyNz4CNzYXFhUUBwYHBgcGJi8BNCYHDgIjIgMRNCYnLgEnJigNFMMpEBFMaGSCAgIEBg4wDhkGAkEMAw3RVAQEITERFgQSDgcMBQMCBAxxeRcgAgQIB0RJgTvnARAdDjUPCgM0BAIQBAQxCAIYEf4VpHFnBgYSCQFiXB05CAQCAwoIKQQvCCD9dD8zBgIEBAIDEAkJCAgSATEYCAoaUAgdBjExMwEaAbIjIQgEDwQDAAAAAAEACP/pA/YDWwBHADIAsgIBACuwKDOxRAPpsg4lMzIyMrI7AAArAbBIL7FJASsAsUQ7ERKwGzmwAhGwDDkwMRM2NzYzMhcWMzI3MhUUJyMiDgEVFBYSFR4DNjcSNzY1NicmJy4BMxYyNzIXFhUUBwYjDgEHAwYHBiMiJyYnASYnJicmNTQIAhIHIC5iRjhKMAwQEy8zCFZ7AggGCAgEhUAJASQ2QQgBEVO2YwkEAgEDBkI9OvoMEAwMEBAKCv72LREbWgwDOh4CAQIBAiEfAQ8ODA7W/uICAhEGBggKAUSHExAfERoCBjkCAhAICAcHDwhMg/2+FwEDBQQaAmVqFR0OAhcCAAAAAAEAA//kBfgDVgB1AD0AsmsAACuwXTOwdC+0ESAwQFIkFzOxBgfpsSlFMjIBsHYvsXcBKwCxdGsRErIZNmQ5OTmwBhGxBE45OTAxEyY1NDc2FzIWMjcyMzYXFgYjBhUUFxYXHgE3ExUmJyYnIiYjIicmMxYzMjc2FxYGBwYVFBcTFjY3Ejc2NSYnJiciJy4BMxYyNzIzMhcWFRQHBgcGBwYHBgMOAQcGIyInJi8BAyYHAwYHBisBIicmLwEDLgEnJgQBAwQZFHGPXwQGFAQGBgxoWC1BBBMIuC0UITkGGQgOAQQPxmtQHiEGBAQEbB6sBhUEpgwDARAYMicUCgUTS7JnAgEMBAQBAwhSFwohLdkGCBUZCQMCDgYE3gYO2wYVBAgXDgQMBgX5LThOCgMuBwULBQ4EBAQCEgwfBCwZ3nOcChAKAbACWhUhAwMeIQUDBBIMHwQCMxxJ/mAKEAsBg0MPDR4OFAQDBDsCAg4KCgYFEAIIIRBPb/3kEAgDBQECDwoCFwwb/fwZAgICAg0KAmhzNQUDAAAAAAEADv/6BBcDVwB2AEUAsg4BACuwMjOxCgfpshkpPzIyMrJxAAArsFEzsWkH6bICSlYyMjIBsHcvsXgBKwCxaXERErBMObAKEbMBHCFfJBc5MDE3NBc+AT8BJy4BJyY3NhcyMxYyNzIXHgEGKwEiFBcWFx4BNzY3NjU0JicqAiYnJjc2MzIXFjI3MjMyFxYHBiMOAQ8CHgEXHgEXFhUUBicmIyIHIjQ7ATI1NC4BLwEmBw4EFRQWFzMyFgcGIyIjJiMiByIOEUpRVLeqSlBWDAEBEQECNseRFAIGAgYEEkZKNxkMEBEtIzclNQQJBAYCBgQCDwQEmsIpAgINBwgGBBpaUkJOYHVgIytMQRELCFxVgXQSEhNHEh8EdR8QBDUtMx8vQBAKCAQECAEBZ3hQWAwZHwECNGDP42Q0BAUcGwEDAwQIGRQxYUoYEAISLS1CJxcWAgYEEBUNAQICChQRDAYsSVZvlnwrNyoEChsKEAICBDsgCx8lBJwnEwY3ND0vChsbBiEODAQCAAAAAAEAEf3jA9ADXgBKAE4AsiEBACuwBDOxHgfpsgsuRTIyMrA4L7Q9CgAXBCsBsEsvsBvWsSoP6bFMASuxKhsRErIkLjE5OTkAsR49ERKxEzM5ObAhEbEqSTk5MDETNhcyMzI3MhcWBgcOARUUFxYTFjc2NRM2NzY1NCYnLgE3MzYzMhcyFxYVFAcGIw4BBwMGBwYHBiMiJjU0Nz4BPwEBLgEnJicmNTQSBiMJGk7sIwMECAhCKBYrkgYWBHsUCxIxTAoCExBiUEA1IwQBAwQGP009/kgOHyshPSc5Zj9VJB3+/Dc2SQYFAwNIFwUEEA4hAgIZGRcwXv6TDiMEAgE5MyE3HSkfAgYzAgYEEgQECQsPCGGi/VS4I0ozKzgkPxoQcXhfAmqFOAYCDgoJBAAAAAABAB7/+AMqA48AQgBeALIhAQArsQYJ6bIYAQArsj4AACuxLArpAbBDL7AU1rQPDAAeBCuwDxCxFgsrtBkMAB4EK7FEASuxDxQRErAQOQCxLD4RErACObAGEbUEESgpNDckFzmwIRKwJzkwMTc+ATcBNicmIyIHBiMiBgcOAScmNxI3NjIVFBcWMzIzJDMyMzIXFgcAAwYWNxYyNz4BPwE2FxYVFA8BBgcGICciNTQfAgwCAfIEExEWLEFhKSstHwQhChAEMwoENQ4MLAkJAQuBKxwjCAgM/uHXAhMIRJpXMzAkCQghDwFUBhGn/rejDSMGDgQCpgwHAQMEQn0KBAYGFwEZLAYIIwoIBAghDv6J/scGCwIGBgI0VgoUCAMJAgLmDAQEBBkGAAEA1/4CAzMFsAA/AFEAsDQvsS0H6QGwQC+wN9awCzKxKw3psBsysCsQsCcg1hGxOw3psDsvsAczsScN6bAfMrFBASuxOzcRErAJObEnKxESsB05ALEtNBESsDA5MDETJjc0Nz4BNTQnJjU0NjcyFxYHFCMGFQYHDgEVFBcWBxQHBgcGFxYHFAcGBxQXMh8BFgcGJy4BNTQ3NjU0Jicm1wYGDmZ2GRfgrgwCCAQCAgQObXETFwFwP0AhH/IBFBIB4goGAggIBg6w3BcZdW0KAcsODA4FFHNKMWhaUJ7sGgodBAICAgoEGXtaO1x1QI1rOx0MEHnZUl5aPrRACgIVEgoCG+meP2VtLk5xFgQAAAAAAQHj/9MCagbhABUAIgCyEwAAKwGwFi+wAdaxDAzpsA8ysQ0M6bAIMrEXASsAMDElETQ2MxY3Mh4BFAYVERAHFCMmByImAeMVGiUXDAwEAgItFxwXDAoGpB0WCAQCCggXCPy2/OdHLQQEGwAAAQDZ/gYDMQWwADYAPQCwGS+xHgPpAbA3L7AI1rAXMrExDemwITKyMQgKK7NAMSkJK7AIELALINYRsBQzsS4N6bAkMrE4ASsAMDETNDY1Njc+ATU0JjU0NzY3NiYnJjc0NjU0Jy4BNzQXHgEVFAYVFBYXFhUUBw4BFRQWFRQGBwYm2QIECm11K3I7RAwBDfABKdcIEwIQsN4xamQdGGJvMdOmDhv+GwIQBA4DF3xYOdk6i287HQYSBnnVNdw3tD4CFAwfAhvpnjfRN0puGQgZIwQXbkg31Tea5x8EDAAAAAABADEB5wRgA1oAKQBgALAaL7QPCgAZBCuwIS+0AwoAGgQrAbAqL7AA1rQkDAAeBCuwJBCxEQErtBcMAC8EK7ErASuxESQRErEDGjk5sBcRsBg5ALEPGhESsR0kOTmwIRGwCzmwAxKxChE5OTAxEz4BMzIXMh4HMzI3NjMXHgEHDgEjIicuAyMiBgcGJy4CMQaoeWqtAi0IKxAlFx4dDpEgBBQXDBACCqJ1c7MGXS1KHERgCgQbCg8MAgaPvV4bBBcGEAYKAqkbAgIOBpPBYAQxFRhgUhsEAgUOAAAAAgCi/gIBjwN5AAkAFQBIALIDAQArtAgKABIEKwGwFi+wANaxBQ/psQUP6bMPBQAIK7EKC+mwCi+xDwvpsRcBK7EKABESsBU5sA8RtAIHCAMLJBc5ADAxEzQ2MhYVFAYiJhsBNjIXExYGKwEiJqJDZ0NDZ0MOTAQvBFIEGDRBNRsDCC9CQDEzQkL7gQO0Cgr8Si8jIwAAAAACAGL+jQNOBIUAOABCAGAAsgMBACuxQATpshABACu0FQoAFgQrsicAACuxHQrpsjQAACsBsEMvsADWsTkN6bFEASuxOQARErMsMTI3JBc5ALEdJxESsDc5sBURswAhOTwkFzmwQBKyEhg+OTk5MDETNAAzMhcTNhcyFjIeARQHAxYVFAYjIicmBwMGFjMyNjc2HwEWBwYjIicmBwIHBi8BJj8BEzYnLgE3FBcWNxMmIyIGYgEjzwoxZQgSAhEGCgQCZH8tIyUnGQrjDFwpTGw8DA4VEBSP3CktFwpeFgwVHwwGBHsKFFRnpFoMDe0lM2qeAYXPASMEAQYOAgIEBgoJ/wAmUCErIRkb/cYjGkVIEAgMCh/RCgYa/wArGwIGAhEIATUfDDfLpKJqEBoCWB3ZAAAAAAEAH/4fBjUFmABmAIIAsikCACuxHQnpsikdCiuzACkjCSuwVS+wZDO0RQoAIQQrskVVCiuzAEVPCSuwXi+xPgnpsAovsDkzsRUE6bAxMgGwZy+wSNaxUgzpskhSCiuzAEhMCSuxaAErsVJIERKwIzkAsV5FERKyQVlhOTk5sD4RsQM8OTmxKRURErAYOTAxEzQ2NzY/ATYmKwEiJyY3NDc+AzMhNhI3NjcSITIWFRQGIyInJicmByIHBgcCBwYXMyUzMg8BBiMlBgc2MzIWFxYXFjMyNjU0JyY1NDYzMhYVFAYjIicmJy4BJyYjIg8BDgEjIiYfmWM9MQ0EDQzuHQEMBgICAggQDQEiEmkfXlzyAStooC8jKy8ODEhMXkpQWMNTEBoIAQ8aGQYHBCv+rkxNWHBcmFZQN0pESmghGzIiLz78nndiHz0GSBJ5Vj9dBjeLOh0o/mA5kCltgyAIFQIEFQQGDAoNBDEBIU30nAGeYEYhLS8MD0gBZGjg/h+2JQICGxodBJpkKUY/PR8rVj0hOS0bJTFYQo/hPxQyBjkPWisEcYslAAACAM8AsgTNBLoAIgAsAHsAsB8vtCYKAB8EK7ArL7QNCgAeBCsBsC0vsATWsSQM6bAkELEpASu0FgwALgQrsS4BK7EkBBESswEHCSIkFzmwKRGzChAcISQXObAWErMRExkbJBc5ALEmHxESsxoAHCEkFzmwKxGzAQcTGSQXObANErMIChASJBc5MDETNy4BNTQ2Nyc3Fz4BMzIWFzcXBx4BFRQGBxcHJw4BIiYnBxIQFjMyNhAmIyLPhTklJTmFXIdKc15gcVCBXoM5Jyc5g16BUnHBbkqHUMSMj8nHi40BEIZYclxacU6FYIc7KCc8h2CFUnVeYHFJhl6FOycnO4UClP7hy8kBH8oAAAAAAv/6//gEOQWkAIQAjgCgALJVAAArsFczsU4F6bBdMrIOAgArsh0rgTMzM7EHBumyBSIlMjIytG1mVQcNK7BEM7FtCemwPjK0eXRVBw0rsTeMMzOxeQrpsRUxMjIBsI8vsGHWsUsL6bJLYQors0BLQgkrsDQys0BLUgkrsmFLCiuzQGFpCSuwdjKxkAErsUthERK1BwoOVo6IJBc5ALFmThESsGI5sG0RsYeIOTkwMQM0NzUmNxY3MgcWBxQHIwYVFB8BFjsBMj8BNjU0JyY9ATQ3MxY3Nh0CFCMiBg8BBjsBMgcVFCcjIg8BBhYzJRYHFRQnJSIHIg8BERQWOwEyHQEUBickByImPwE2FzMyNjURJyYnIyEiPQE0HwEyNi8BJisBIj0BNDsBMjYvAS4BJyInJgEXFjI/ATYrASIGAgIU7s8XAQYGCgZxEzUILegdCi0UTCsXCLyUFBI5QiklCiuaHwEe0xsIQAYXEAEZGwEp/tEdDA4GJS9OFh8KF/7+8QwRAgICGRJaLS0IFA/+xSUp/BQZBjgMFNUfI5MKFwQnIUE6DgIEAetUBBMIUAgUphsFgQQEBhIBCAodEAgSAwgtCi2EFBluNRUrBggTFhIBCAoCGxgJCjteVxQdKSEBFYsMEwQIEjQdAQICDVT+mH9EGhkQBgIODgwIGxcBQIUBUmQUASExFwEEDBODHRwvGxAJXFI5BBUE/mbNDBDHGQAAAAACAeP/0wJoBuEAAwAHACIAsgAAACsBsAgvsADWsAQysQMM6bAGMrEHDOmxCQErADAxBREzEQMRMxEB44WFhS0DCvz2BAIDDPz0AAAAAgBt/hsDhwWYADwAVwBxALISAgArsQMI6bAlL7E0COmyNCUKK7MANCsJKwGwWC+wANaxFQ/psBUQsUoBK7QiDABzBCuxWQErsRUAERK0KDI6PlQkFzmwShFACQoDHCUzNzlBTyQXObAiErAHOQCxEjQRErYHDwoiOkVVJBc5MDETNAAzMh4BFRQGIyInLgInJgciBhUUHgUXHgEXFhUUACMiJjU0NjMyHgQXFjcyNjU0JwInJhMGExYAFxYXFjc2NzY1NCcmJyYnJicmJyYHBm0BIsctfXE4IikyBAoKAkpBTGsPHh0vGy8EqoEfFv7ZxmipMSEMFRAVCBYDSlNGcXfPa3mKWIs5AQg0NQ4GCwwGGUonKy8zTEZgGwoGBgNx4QFGH0ovIzcxBAgNAk4BYEMSNDs0RSdABvLjcFhx0/7HVj0hOQgIEwoYBVABYDtYpAEfvNUBjOf+62/+e1xgKRAFBhE/WqyeTERGTW9sk1UZAwQAAgA1A9kCmATPAAcADwA7ALAHL7AOM7QDCgARBCuwCjK0AwoAEQQrAbAQL7AB1rQFDwAZBCuwBRCxCQErtA0PABkEK7ERASsAMDESNDYyFhQGIiQ0NjIWFAYiNUhmSEhmASNHZ0pKZwQhZkhIZkhIZkhIZkgAAAAAAwBW/+UGEAWsAAgAEgA9AMEAsggAACuxDAjpshECACuxAwjptDsyCAMNK7E7COmzJQgDCCu0FiwIAw0rsRYF6bAdMgGwPi+wAda0CQwALwQrsAkQsRMBK7EvC+mwLxCxKQErsB0ytCIMAB4EK7QgDAAeBCuwIhCxDgErtAUMAC8EK7E/ASuxLxMRErEIAjk5sCkRtwcDCxARDBYyJBc5sCASsic0NTk5ObEOIhESsDg5ALElMhEStgAJDgUTLzUkFzmwLBGxASk5ObAWErAaOTAxEhAAIAAREAAgARAAIAAREAAgABM0ADMyFxYzMjY3MzIfARUUKwEiJy4BJyYHIgYVFBYzMjc2HwEWBwYnIgBWAa4CXgGu/lL9ov6oAXsCGAF7/oX96P6FqAEr3UxzGQkODwwpEgMSDiEMBAIEBEzRj62qnLhzEA0fEBCY8s3+6gGYAmIBsv5Q/s3+z/5NAuT+8v6AAYABDgEQAX3+g/7q0QEWJwgQHxfvIw4MAhUGyQHOtcfUlRQIEAkUywEBDAAAAAACAC8DNwItBWQAKAA0AH8AsiwBACuxJgXpsB8yshoBACuxHwjpsh0BACuyIQEAK7IoAQArsAcvsRMH6QGwNS+wANaxKQzpsAsysA8g1hGxDAzpsCkQsS8BK7AEMrEYDOmxNgErsS8MERK2AgcTIyQsMyQXObAYEbEfITk5ALEHGhEStQANFhwpMCQXOTAxEzQ3Njc1NCMiBwYVFwcmJzQ3NjMyFh0CFBcyNxcGIyInDgEHBgciJjcUFjMyNj0BBgcOAS+STD9aHRsQCHAKAVhCPV5SGxQyDmAzPQ0ECAVKPztMcSccG04nG0giA65eIRIhYWgVEgohMx0GLT8xWGSqOTcBISdQRgIIAjkBQkMdJDcXZBALHR4AAgA/AEQCpgNxAAYADAApALIBAQArAbANL7AA1rQLDwAHBCuxDgErsQsAERK0AgcJCgwkFzkAMDETATMDNRMjAwEzAxMjPwFAP87OPxUBADqJizwB1wGa/mYC/msBkwF3/on+kQAAAAABAJEBdQUKA/oABQA4ALIAAQArtAEKAB4EK7IAAQors0AABAkrAbAGL7AE1rQDDAAuBCuyBAMKK7NABAAJK7EHASsAMDETNSERIxGRBHmHA3GJ/XsB/AAAAQBaAZgDKwImABEAABM1NDYzFiQXMhYVBwYHJgQnIlobDEQB13IKEwQGHZ7+cWgOAbBSEBMCBgQXClAZAwQGAgAAAAAEAD//1wYXBbwACQARAE8AWwDzALIIAAArsQ0I6bIRAgArsQMI6bROFQgDDSuxMkUzM7FOB+mxOUsyMrQ/UwgDDSuxPwPptCMcCAMNK7BZM7EjB+kBsFwvsADWtAsMAEAEK7ALELEYASuxQw3psFAyskMYCiuzQENICSuyGEMKK7NAGBIJK7BDELFWASuxKgvpsCoQsQ8BK7QFDAAvBCuxXQErsRgLERK0CAIeJE4kFzmwQxGzDBElTSQXObBWErMsPi1MJBc5sCoRtQcDEA06OyQXObAPErIyNDk5OTkAsRVOERKwTTmwPxGxDgs5ObBTErMFLC0AJBc5sBwRsg8KKjk5OTAxExAAIAAREAAgABIQACAAEAAgAzU0Mz4BNRE0JiciPQE0NzYzFjI2MzYWFRQHBhcTHgEXMh0DFCMmByInASMiHQIUFzIXHQEUKwEmByIBFBYzMjY1NCYjIgc/AbcCagG3/kn9lv5JWQGBAiQBhP58/dyQGTcdGTMUAgQWKYuuHY2zyxQOwiMtIwwYXEoSC/7XJxRsDgEJEMOfGQEZBg55g25WJScCyQE5Abr+Rv7H/sn+RQG6Akz91/57AYUCKQGF+6gdEAIrVgIlVikEExIQAwQCAgKJb6ZGBBT+6TEjAgQIChUSBAQOAZwlx04xAhQXDAYKCgICDAlhVFJqDAABABIEAAK6BJoADQArALAML7QDCgAbBCuwBTK0BAoAGwQrAbAOL7EAASu0CQ8ABwQrsQ8BKwAwMRM1NDsBITIWHQEUIyEiEisVAj8XEi/9qiMEJ1wXDRRaHwAAAAIAYgLRAvQFagAJABMAQwCwCC+xDQrpsBIvsQMK6QGwFC+wANaxCgzpsAoQsQ8BK7EFDOmxFQErsQ8KERKzAgcIAyQXOQCxEg0RErEFADk5MDETNDYgFhUUBiAmNxQWMjY1NCYiBmK/ARLBwf7uv29/tIGBtH8EHYvCwouJw8KKWoGBWlyBgQACAJH/ywUKBaIAFQBPAHEAshwBACuwLTO0TQoAHwQrsDUyshxNCiuzQBwmCSuyEQAAK7QECgAeBCsBsFAvsEjWsCAytDwMAC4EK7AqMrI8SAors0A8MgkrsAoyskg8CiuzQEgWCSuwADKxUQErsTxIERKwQTkAsU0EERKwQDkwMRc1NDYXFiAlMhYdARQHBiMGISInJicRPQE0NzYzITI2NRE0JjU0OwEyFhURBjchMhYdARQGIyEjIgcGBxEUBiMGJyIvATwBNjURNCYjISImkQ0aNQLoAQwZEBQMJen87ScKAgUCBhsBthQLAh1QEgoEGQG6HQ4SH/5WEAYCBgEMHyMaGQYCAgwQ/k8bEAItGxICBAQQGTUfBgYCCgQMA183FAgFCAoTAZcGEQQvDx7+RRcBDhU/GwoCBBH+Rh8KCgoKBgQEDQQBthALDAAAAAABABICaAI9BSsAQACGALA/L7EsCum0OwcAMAQrsjs/CiuzQDs2CSuwEC+xGArpAbBBL7AN1rEbDemwOzKyDRsKK7NADRUJK7AAMrAbELA5INYRtDEMAC8EK7AxL7A0M7Q5DAAvBCuxQgErsTENERKxISQ5ObAbEbIgPD45OTkAsSw7ERKwATmwEBGyBRMbOTk5MDETNTY3Pgg1NCYiBgcGJjU+ATMyFhUUDggHBgcGFxY7ATI3Njc0Njc2OwEyFQYjMwYHISISNXMCNAwvECUPFAhJb1gVBEMKlW1okggJFgolCi0JMwJKTQYKDAqwQgwGBgkCAhYPJBsBAgYb/iUUAnkfP2ICKQ0pFicdJSQTL0RIQAoCDG1/c1oSJx0hFCEMIQYjAjFGBAQECAYNBBwNCgymDgEAAAABAAQCWgIdBSsAMwBWALAxL7EKBumyCjEKK7MACgMJK7AcL7EkCekBsDQvsA3WsS4N6bAZINYRtCcMAC4EK7E1ASuxDRkRErAqObAnEbIpKyw5OTkAsRwKERKyHycuOTk5MDETNDYzMh4CFxYzMjY1NCYjIgcGJyY2NzY1NCYjIgcGJjc+ATMyFhUUBwYXHgEVFAYjIiYEJxsMHxIjBC0lN1g9JyMlIxQEBgicMyVWOhQ3BieFUkxqRA4QP0vLgU5/AroZIw0KGAIhYkQzRhsUIAgdBGRAHStnGyMTUlxMPUQzDAYUX0JtnTUAAAEA8gPFAk4FSgANACoAsgMCACu0DAoACwQrAbAOL7AA1rQLDAAeBCuxDwErALEDDBESsAk5MDEbATY7ATYWBxQVBwEGJvJkDhm0DBMCAv7bCjED3wFQGwILCgIEBP6gDAgAAAAB/+7+AgPZBUoAJwBeALIDAgArsRcI6bAJMrIXAwors0AXHQkrsBAyAbAoL7Ag1rQaDACEBCuwGhC0AA8ABwQrsAAvsBoQsRMBK7QNDABiBCuyDRMKK7NADQcJK7EpASuxIAARErADOQAwMQM0NjcgNh0BFCcjIhcRFAYrASI1EzQrASIXExQrASImNRE0By4BJyYS/t8BxUkjThsBChkhIwIkaRsBAiErFAsloMI1LwOswdkCBB8lGQEl+VgXCh8GqiEd+UwZDBUD0x8BAmdkWAAAAAEAnAHRAXUCrgAIACgAsAgvtAMKABMEK7QDCgATBCsBsAkvsAHWsQUP6bEFD+mxCgErADAxEjQ2MhYVFAYinD9aQEBaAhJbQUAvLUEAAAAAAQDT/jUCDgAUACEAJACwDi+xGAPpAbAiL7Ab1rELDOmxIwErsQsbERKxCQI5OQAwMRsBMwcGFR4BMx4BFRQGIyInJjc2NzYXFjMyNjU0IyIHBibTqjk5BAIIAjtOcFAvJxcPBgIEDh8OKzw6HWQIDv72AR5qCAQCAghdP1BxDwgWDAMMBAY5J0o0BAcAAAAAAQBkAmQB/AUpACQAOgCwEi+xCgbpsBcysgoSCiuzQAoECSsBsCUvsBvWsQYM6bEmASuxBhsRErECEzk5ALEKEhESsBg5MDETNjc2MhURFBcWFzI3Mh4BFRQjJgciJjM3PgE1AyYnBgcGBwYmZI1EBFIEBBUXChIREA6mpBABETsZDgICAhcoHSEUFQR9VFIGDP22FwYIAgICFRIhBgZCBgQMFQGqDAIOFQwMAiUAAAACAD8DNwKmBWQACAAUAEoAsgwBACuxBwfpsBIvtAMHAGkEKwGwFS+wAdaxCQzpsAkQsQ8BK7EFDOmxFgErsQ8JERKyAgMHOTk5ALESDBESswAEBQEkFzkwMRI0NiAWFAYjIgMUFjMyNjU0JiMiBj+vAQaysn+FNHdSRlx5UEZcA9fun5/uoAE+b5dsVGqWaAACAFYARAK8A3EABQAMACoAsgkBACsBsA0vsADWsAIytAsPAAcEK7EOASuxCwARErIBBAY5OTkAMDE3EwMzEwMXExUDMwkBVomJPfz8qM/PQAFB/r9oAW8Bd/6J/pEkAZUCAZr+Zv5tAAQAZP+6BZEFSAAiADMAWgBlAMoAslEAACuyKQIAK7RYXVEpDSuwPzOxWAnpsEoytA8JUSkNK7AVM7EPBumyCQ8KK7NACQQJKwGwZi+wGda0BgwALQQrsgYZCiuzQAYNCSuyGQYKK7NAGRMJK7AGELFWASuwYDK0TQwALgQrsDwysk1WCiuzQE1GCSuyVk0KK7NAVjYJK7FnASuxBhkRErICEDI5OTmwVhGxD1w5ObBNErInOC05OTkAsV1YERKwNzmwDxGxPWQ5ObAJErINFzw5OTmwKRGxODk5OTAxEzY3NjIVERQWFzM2FhUUIyYHIic2Mzc+ATURJiMGBwYHIiYSJjcBNzY7AjIWBgcBBgcjAT0CATYXFgcRFBczMgcVFBYUBgcGKwEGBxUUKwEiJyYnNyYnIyI3BhczNj0BNCc0B2SRQgRUCxQfGxgOqqISAQQNPxcMAgIfICkXFBVtCQkDyAQECQhUBAQCBPw1ChJCAoMBayMYFAIXUBkBAgICBBZMEgUQMSEKGwICBBT8HZQKEn0YAggEfVhOBgz9tBcOAgIOGyEGBiEhBAIOFwGqDhQNEAol+0kdCgVaCQQJDgj6ohABAQIFBCABzwoGBBT+ewoBIhEEDAQLAgwEDKgbBAQNrA4EcRABAQqsEAgMCAADAGT/ugWWBUgAJgA3AG8AvgCybgAAK7FcCumybgAAK7RqBwAwBCuyam4KK7NAamUJK7IpAAArsiwCACu0FBluLA0rsAszsRQF6bMoGUoOK7FCCukBsHAvsBvWtAgMAC0EK7IbCAors0AbFgkrsAgQsT8BK7FNDemwajKwTRCwaCDWEbRjDAAvBCuwYy+0aAwALwQrsXEBK7EIGxESsgITNDk5ObA/EbYREjhHSlZZJBc5sGMSsTBhOTkAsVxqERKwOTmwQhGyO0ZNOTk5MDETNjc+ARcWFREUFhczNh4BFRYjJgciJzYzNzY1ETQuAQcGBwYHIiYSNjcBNjc7ATIWBwEGBysBIiU1Njc2NzY1NCYjIgcOATU+ATMyFhUUDgYHBgcGFxY7ATI3Njc2NzY7ATIVBiMzBiMhImSRQgQyEhANFB8SEQ4EEqqiEgEEDVASAgoKDCEpFxQVYgIDA84IDQxGCAYG/DUIEg83CgKfN3N/JStHOHctBEMKlmxokgwNIBMvEDoGSE8KDgwKsEIMBgYIAwIWDyUbAgIGG/4lFwR9WE4EBAQCH/3LFxACAgQREiEGBiEhBAIlAZUIDQoECBEQCiX7Vg4CBWQMARMM+qIOA0gfQmBqNzs6MUSHCgENbYB0WxksISkUJw0pBC9FBgUECAYPIQoMDqYOAAAAAAQAI/+4BVoFSAAwAD4AYgBuAMoAslgAACuyMwAAK7I2AgArtGBlWDYNK7BKM7FgCemwUTK0LgdYNg0rsS4G6bIHLgorswAHAwkrsSI2ECDAL7EaCekBsG8vsArWtCsNABoEK7AXINYRtCUMAC0EK7ArELFdASuwaDK0VAwALgQrsEcyslRdCiuzQFRPCSuyXVQKK7NAXUEJK7FwASuxChcRErAoObAlEbEnKTk5sV0rERKwYzmwVBGwQzkAsWVgERKwQjmwLhGxSGw5ObEaBxEStR0lK0NERyQXOTAxEzQ2MzIXFjcyNjU0JiMiBwYnJicmNzY1NCYjIgcGJjc+ATMyFhUUBwYXFhUUBiMiJhImNwE2NzMyFgcBBgcnAT0CATYXFgcRFBczMhcWFRQrAQYHFwYrASInJic3JicjIiY2FjsBNj0BNCcmDwEjKRodSCslN1g7KSMlFA8KCAoSnDInWDUIRgkjh1FMbUQSFIfIgU6BpAkHA8oIJysMCwj8Ow4ZNwJKAWohGRcDFVEQBwYSXBAFAgYONCMMEgICBhP8ChSRBAaDFQIEBJQCtBkjNB8BYEQ1RRoUEAoQFAtiQh8paQoUE1JcTD0/OgwFK4tqnjX9MR0EBWAMAR0K+qoSAQIBCwICHAHPCgYEFP57CgEQDxIvBAyoGwQCD6wQAgxhDQEKwAwCAgjCAAAAAgBS/gICjwN5ACEALACBALIlAQArtCoKABIEK7AfL7QYCgAWBCuyGB8KK7MAGBsJKwGwLS+wANa0FgwALwQrshYACiuzABYdCSuwFhCxBgErtBAMAEAEK7AnMrAQELEiD+mwIi+xLgErsSIWERKwFDmwBhG0BAoTJCokFzmwEBKwJTkAsSoYERKxAAw5OTAxFzQ3Njc2NTQmJyY3NhYXFhUUBgcOARQWMzI2MzIVFCMiJhM0NjIWFRQGIyImUpE1X1YdMxIWDikJakxYiWJqYh9nGofEqNHdRmZGRjM1RHPJZiUjITchNTwUCgYIDINiSlgjM2OjXw9YcdsEKy9CQDEzQkIAAAAAAwAd//gFhgcMAE0AWgBoAFYAskwAACuxIiQzM7ECBumzHStCRSQXMrIRAgArtDddIhENK7Q3CgAkBCsBsGkvsWoBKwCxAkwRErAjObA3EbMaGzNEJBc5sF0SsBY5sBERsQlmOTkwMTc2NzI3Njc2NwEnJj4COgE7ATIXGgEWFxYXHgE7ATIWBiMmBSInJjU0NjsBPgEnLgEnLgEHBiciDgIHBgcGFRQXMjYXFhUGIyQHIyYBJjYzNzIXFhcUBicmAwYXFjcyNicmJy4BBwYdAhBcGw4bGQgBgQ8CBg0OEg0IBlwPaqpeDRQlGzdDDwwKCgzs/scQBwIRFF4/IhcZWhgEJw9t0goNCAoCNU4QdA4sEg4EDP6sZhcfAe4KFhObHwg2MSkNbYwEHIF3CgoERDkEEgQnNwwBHhA+PRcEFzUEBgQCFP7n/kD6IzVrSi8iIwoIEAYTFA0CMzlC80IMEQIGBgkGEASutSceNQIEAgIlIwYGBgbjCh0CEIvDEgkNjfyqEg0EBBMMvLkKBgp/AAMAHf/4BYYHFABNAFsAaQBsALJMAAArsSIkMzOxAgbpsx0rQkUkFzKyEQIAK7Q3UCIRDSu0NwoAJAQrAbBqL7Bc1rRnDAAeBCuxawErsWdcERKyCw9bOTk5ALECTBESsCM5sDcRsxobM0QkFzmwUBKwFjmwERGxCVk5OTAxNzY3Mjc2NzY3AScmPgI6ATsBMhcaARYXFhceATsBMhYGIyYFIicmNTQ2OwE+AScuAScuAQcGJyIOAgcGBwYVFBcyNhcWFQYjJAcjJgEGFxY3MjYnJicuAQcGAxM2FzcyHgEHFAcBBiYdAhBcGw4bGQgBgQ8CBg0OEg0IBlwPaqpeDRQlGzdDDwwKCgzs/scQBwIRFF4/IhcZWhgEJw9t0goNCAoCNU4QdA4sEg4EDP6sZhcfAgcEHIF3CgoERDkEEgQnGWcGH7QIDggCAv7cCjI3DAEeED49FwQXNQQGBAIU/uf+QPojNWtKLyIjCggQBhMUDQIzOULzQgwRAgYGCQYQBK61Jx41AgQCAiUjBgYGAtcSDQQEEwy8uQoGCn8B1QFQGwECBAgICAL+oAwHAAAAAAMAHf/4BYYG+QBOAGEAbwBZALJNAAArsSIkMzOxAgbpsx0rQ0YkFzKyEQIAK7Q3ZCIRDSu0NwoAJAQrAbBwL7FxASsAsQJNERKwIzmwNxG0BxobM0UkFzmwZBKwFjmwERGyCRVtOTk5MDE3NjcyNzY3NjcBJyY+AjoBOwEyFxoBFhcWFx4BOwEyFgYjJgUiJyY1NDY7AT4BJy4BJy4BBwYnIg4CBwYHBhUUFhcyNhcWFQYjJAcjJgETNjc+ARcWFxMWBwYvAQcGJyYTBhcWNzI2JyYnLgEHBh0CElobEhkCHQGBDwIGDQ4SDQgIXA1qql4NKRIbNUMPDAoKDOz+yRIHAhEUYD0iFxlaGAQnD2rVCA8GDAItVBI1QQg2DA4ECv6qZhcfAaK2CBMMeRUbB7UOEB0M+uwSGQppBByBdwoKBEQ5AhQEJzcMAR4UOgZOBBc1BAYEAhT+5/5A+iNqNkovIiMKCBAGExQNAjM5QvNCDBECBgYJBhICkdItGBsaAgQCAiUjBgYGBaIBPwwJAgICAhP+yRkCCA3U1BANBv0+Eg0EBBMMvLkKBgp/AAAAAAMAHf/4BYYGuABNAGwAegC0ALJMAAArsSIkMzOxAgbpsx0rQkUkFzKyEQIAK7Q3byIRDSu0NwoAJAQrsGAvtFQKABwEK7NkVGAIK7RQCgAdBCsBsHsvsE7WtGoMAB4EK7BqELFXASu0XQwAHgQrsXwBK7FqThESsD05sFcRQA8LFCQoLDI8REdJUAlgbnMkFzmwXRKyLTAvOTk5ALE3AhESsxobM0QkFzmwbxGwFjmwERKxCXg5ObBgEbBsObBUErBnOTAxNzY3Mjc2NzY3AScmPgI6ATsBMhcaARYXFhceATsBMhYGIyYFIicmNTQ2OwE+AScuAScuAQcGJyIOAgcGBwYVFBcyNhcWFQYjJAcjJgESMzIXFjMyNjc0MzYHFhUUBiMiJyYnIgYHFAYHDgETBhcWNzI2JyYnLgEHBh0CEFwbDhsZCAGBDwIGDQ4SDQgGXA9qql4NFCUbN0MPDAoKDOz+xxAHAhEUXj8iFxlaGAQnD23SCg0ICgI1ThB0DiwSDgQM/qxmFx8BZQy8UndSJyMjDBsZAQRyWVJ0VCUfIQwEAgYtngQcgXcKCgREOQQSBCc3DAEeED49FwQXNQQGBAIU/uf+QPojNWtKLyIjCggQBhMUDQIzOULzQgwRAgYGCQYQBK61Jx41AgQCAiUjBgYGBZoBFFI3N1AMBBANDm+PUDsBKTgEFgoOBf1QEg0EBBMMvLkKBgp/AAQAHf/4BYYGmABNAFUAYwBtAKIAskwAACuxIiQzM7ECBumzHStCRSQXMrIRAgArtDdYIhENK7Q3CgAkBCuwbC+wVDO0ZwoAEQQrsFAyAbBuL7BP1rRTDwAZBCuwUxCxZQErtGoPABkEK7FvASuxU08REkALCw83PERHSQljV1gkFzmwZRGyNl5iOTk5sGoStxQkLS81XF0oJBc5ALE3AhESsxobM0QkFzmxEUwRErEjYTk5MDE3NjcyNzY3NjcBJyY+AjoBOwEyFxoBFhcWFx4BOwEyFgYjJgUiJyY1NDY7AT4BJy4BJy4BBwYnIg4CBwYHBhUUFzI2FxYVBiMkByMmADQ2MhYUBiITBhcWNzI2JyYnLgEHBhI0NjMyFhQGIyIdAhBcGw4bGQgBgQ8CBg0OEg0IBlwPaqpeDRQlGzdDDwwKCgzs/scQBwIRFF4/IhcZWhgEJw9t0goNCAoCNU4QdA4sEg4EDP6sZhcfAZZIZkpKZikEHIF3CgoERDkEEgQnl0gzNUhHNjM3DAEeED49FwQXNQQGBAIU/uf+QPojNWtKLyIjCggQBhMUDQIzOULzQgwRAgYGCQYQBK61Jx41AgQCAiUjBgYGBelnSEhnR/01Eg0EBBMMvLkKBgp/AhZnSEhnRwAABAAd//gFhgcrAE0AVwBlAG8AsACyTAAAK7EiJDMzsQIG6bMdK0JFJBcyshECACu0N1oiEQ0rtDcKACQEK7BWL7FpCemwbi+xUQnpAbBwL7BP1rRnDABABCuwZxCxbAErsCgytFQMAFEEK7FxASuxZ08RErU3SUdYWVokFzmwbBG3CxQJNlFWZV8kFzmwVBK0JDI1K14kFzkAsTcCERKzGhszRCQXObBaEbAWObARErEJYzk5sW5pERKzT1NUTiQXOTAxNzY3Mjc2NzY3AScmPgI6ATsBMhcaARYXFhceATsBMhYGIyYFIicmNTQ2OwE+AScuAScuAQcGJyIOAgcGBwYVFBcyNhcWFQYjJAcjJgA0NjMyFhQGIyIDBhcWNzI2JyYnLgEHBgIUFjMyNjQmIyIdAhBcGw4bGQgBgQ8CBg0OEg0IBlwPaqpeDRQlGzdDDwwKCgzs/scQBwIRFF4/IhcZWhgEJw9t0goNCAoCNU4QdA4sEg4EDP6sZhcfAeh7WFR7e1RYXAQcgXcKCgREOQQSBCchRC8tQUEtLzcMAR4QPj0XBBc1BAYEAhT+5/5A+iM1a0ovIiMKCBAGExQNAjM5QvNCDBECBgYJBhAErrUnHjUCBAICJSMGBgYGALB7e7B7/VISDQQEEwy8uQoGCn8CtF5ERF5EAAAAAAL/jf/0Bv4FRACHAJQA+wCyOAEAK7JmAAArsIMzsVAJ6bKFAAArsIEzsQIF6bFsezIyshUCACuwEjOxKgnpshMCACuwFjOxDgfpsioVCiuzQCofCSu0i3SFOA0rsYsK6bQvSoU4DSuxLwrpAbCVL7Bw1rCOMrFNC+mwLDKycE0KK7NAcGkJK7BNELFGASu0QAwALwQrsEAQsSUBK7QcDAAvBCuwHBCxVwErsFoytGIMAC8EK7GWASuxRk0RErA2ObBAEbI3FUI5OTmwJRKwJjmwHBGwGDkAsVACERKwAzmwdBG1QEZDX2B5JBc5sIsSsEc5sSo4ERKyGgqSOTk5sRWFERKxGG45OTAxJjY3PgE3ATY3NjU0JiMiJj8BNjcWJBcyFx4BFxUUKwEiLgM1LgErASEiBxEUMzcyNzY3Njc2FzoBOwEyFxAXFiMGJyInLgEPASIVERQWMxY3PgE3Njc0Njc1NDM0OwEyFQYHBiMhIjc1NB8BFj8BNTQjISIHAwYVFBcyFRcWBiMiJiIHIicBBhYzITI1ETQnJgcGdwgdRFhBAf41BQgnRBAOAgIEFpEDKkszAQIOAgofBgoGBQQUMy06/r0zAS7tJSkfEB8QBhEEDAYGEgECAhMQEhADDDll+Cc2Yi2oZEQfLxYCAgIRGhUCGQI5+90hAjA/oAICHf51Gw6mL4MZAgINDiHAoC8UAwJzCBIXATEjDAYJjycSAghMbQNUWAoOEx0UBgodEgEEBgIZKcMcEwgGDwgSAmBGJf5OIQUEAgwXXBcBH/6+Lh0GBBlkLwIENf6qaDAEBAQVJz1YAgoCBQQGJy/bJRYVHQECBpRJzyUY/u9OHjkBEh0MCgQEGAJ/ChI3AgQhCgQM2wAAAAABAHP+AgWYBVIATwCoALJNAAArsCwzsRsE6bIDAgArsRUE6bA4L7FCB+kBsFAvsADWsRgP6bAYELFFASuxNQzpsDUQsRIBK7QPDAAeBCuxUQErsUUYERK1LzI4O0tNJBc5sDURtAMbLDMVJBc5sBIStAcFEyYqJBc5sA8RsgkIIDk5OQCxQjgRErA+ObBNEbE1Pzk5sBsSsSYoOTmwFRG0AA4RBiEkFzmwAxKzBQcICSQXOTAxExAAITIXFjc2MhcWBxQGFw4BJy4BIyIAERAAMzI3PgE3NhcWBwYHJiMiBwYjBwYVHgEzHgEVFAYjIicmNzY3NhcWFzI2NTQHIgcGJjcTJABzAaEBUJO9SB0IJwIZBQQCBDEINdyd+P7dAUD3tpgpKycEJxkCMV8bFD1jXoU1BAIIAjtOcFAvJxcOBgMEDh8OKzw6HWQIDgam/s/+hwKJATsBjkYbFwYIaFASVRYSCw2aq/69/vH+6f6QhyU5RhIEBAyqngYeHWIIBQICCFw/UHEOCBcMAgwDBgE6J0oBMwQGCwEYDgF/AAAAAAIAMv/6BKIHDABaAGcAuACyWAAAK7ECBOmxRgnpshYCACuxJwjpshYCACuxCgXptC5AWBYNK7EuCekBsGgvsAbWsUML6bAqMrBDELFmASu0YwwAHgQrsGMQsTwBK7AyMrQ4DAAeBCuwOBCxIgErtB4MAB4EK7AeELFMASu0UAwAHgQrsWkBK7FmQxESsUBnOTmxPGMRErA9ObA4EbAjObEeIhESshkaVjk5OQCxQEYRErM6O09QJBc5sScuERKyHR8zOTk5MDE+AjM+ATURNCYjKgMuAicmNzYzJBcyBx4CFwYnJicuAScmByIGFREUFjsBMjY3NhcWFxYDFAcGJy4BKwEGFREUFjsBMjY3Njc2NzYXFA4BBwYjIAUmJwEmNjM3MhcWFxQGJyYtCh1KZDMzbAQLCAoGCQgCBg4GHQKe9CcBCAcCAgQtDgEUSn/FTQwbEgvxeTUPBCkKBgQGGSMBEDh56x0rb6NzUBsxGgQRJQYMDwIETv0n/vIUBQFzCBQTnR0KQiMpC3MWLgQEQ4MDC4NMAgQIBAwfCgQEFEJuWBEUDgIVfT8CBgQhDP5iEBspbw4EAh1k/vgbAgQOai4EG/6ody8THjtrEgUEDEJ1bAodAgQKBtsKHQIQuJYSCQ2YAAACADL/+gSiBxQAWgBpALkAslgAACuxAgTpsUYJ6bIWAgArsScI6bIWAgArsQoF6bQuQFgWDSuxLgnpAbBqL7AG1rFDC+mwKjKwQxCxWwErtGcMAB4EK7JnWworswBnYwkrsGcQsTwBK7AyMrQ4DAAeBCuwOBCxIgErtB4MAB4EK7AeELFMASu0UAwAHgQrsWsBK7E8ZxESsD05sDgRsCM5sR4iERKyGRpWOTk5ALFARhESszo7T1AkFzmxJy4RErIdHzM5OTkwMT4CMz4BNRE0JiMqAy4CJyY3NjMkFzIHHgIXBicmJy4BJyYHIgYVERQWOwEyNjc2FxYXFgMUBwYnLgErAQYVERQWOwEyNjc2NzY3NhcUDgEHBiMgBSYnARM2FzcyHgEVFAYHAQYmLQodSmQzM2wECwgKBgkIAgYOBh0CnvQnAQgHAgIELQ4BFEp/xU0MGxIL8Xk1DwQpCgYEBhkjARA4eesdK2+jc1AbMRoEESUGDA8CBE79J/7yFAUB12UGHrcIDAgCAv7bCi8WLgQEQ4MDC4NMAgQIBAwfCgQEFEJuWBEUDgIVfT8CBgQhDP5iEBspbw4EAh1k/vgbAgQOai4EG/6ody8THjtrEgUEDEJ1bAodAgQKBaABUBsBAgQICAIGAv6gDAcAAAAAAgAy//oEogb5AFoAbQCkALJYAAArsQIE6bFGCemyFgIAK7EnCOmyFgIAK7EKBem0LkBYFg0rsS4J6QGwbi+wBtaxQwvpsCoysEMQsTwBK7AyMrQ4DAAeBCuwOBCxIgErtB4MAB4EK7AeELFMASu0UAwAHgQrsW8BK7E8QxESsl5laTk5ObA4EbAjObEeIhESshkaVjk5OQCxQEYRErM6O09QJBc5sScuERKyHR8zOTk5MDE+AjM+ATURNCYjKgMuAicmNzYzJBcyBx4CFwYnJicuAScmByIGFREUFjsBMjY3NhcWFxYDFAcGJy4BKwEGFREUFjsBMjY3Njc2NzYXFA4BBwYjIAUmJwETNjc+ARcWFxMWBwYvAQcGJyYtCh1KZDMzbAQLCAoGCQgCBg4GHQKe9CcBCAcCAgQtDgEUSn/FTQwbEgvxeTUPBCkKBgQGGSMBEDh56x0rb6NzUBsxGgQRJQYMDwIETv0n/vIUBQEptAgTDHkVGwe1DhAdDPrsEhkIFi4EBEODAwuDTAIECAQMHwoEBBRCblgRFA4CFX0/AgYEIQz+YhAbKW8OBAIdZP74GwIEDmouBBv+qHcvEx47axIFBAxCdWwKHQIECgWaAT8MCQICAgIT/skZAggN1NQQDQYAAAADADL/+gSiBpEAWgBlAG8AzACyWAAAK7ECBOmxRgnpshYCACuxJwjpshYCACuxCgXptC5AWBYNK7EuCemwbi+wYzO0aQoAEgQrsF4yAbBwL7AG1rFDC+mwKjKwWyDWEbFhD+mwQxCxZwErsWwP6bBsELE8ASuwMjK0OAwAHgQrsDgQsSIBK7QeDAAeBCuwHhCxTAErtFAMAB4EK7FxASuxYVsRErBAObE8bBESsD05sDgRsCM5sR4iERKyGRpWOTk5ALFARhESszo7T1AkFzmxJy4RErIdHzM5OTkwMT4CMz4BNRE0JiMqAy4CJyY3NjMkFzIHHgIXBicmJy4BJyYHIgYVERQWOwEyNjc2FxYXFgMUBwYnLgErAQYVERQWOwEyNjc2NzY3NhcUDgEHBiMgBSYnATQ2MzIWFRQGIiYkNDYzMhYUBiMiLQodSmQzM2wECwgKBgkIAgYOBh0CnvQnAQgHAgIELQ4BFEp/xU0MGxIL8Xk1DwQpCgYEBhkjARA4eesdK2+jc1AbMRoEESUGDA8CBE79J/7yFAUBKUQxL0ZEYkQBWEYvM0REMy8WLgQEQ4MDC4NMAgQIBAwfCgQEFEJuWBEUDgIVfT8CBgQhDP5iEBspbw4EAh1k/vgbAgQOai4EG/6ody8THjtrEgUEDEJ1bAodAgQKBhUvRUUvMUREAl5FQ2JEAAAAAAIAav/6Ao8HDAApADYAbwCyKAAAK7AmM7ECBemwIDKyDwIAK7ASM7ELA+mwFjIBsDcvsAbWsR0L6bAyMrIGHQors0AGAAkrsA0ysB0QtDUMAB4EK7A1L7E4ASuxNQYRErEnNjk5ALECKBESsQAnOTmwCxGwATmwDxKwETkwMTc0Fz4BPwERJy4BJyY3NjMyBDc2FxYHIgYjDgEVERQWFzIXHgEGIyYHIhMmNjM3MhcWFxYGJyZqE14tBAICAi1SJQ8GFggBikUfAgYQBBMGXi85VBcIDAQKCP7+GSUKFRKeHQo7KQIpDG0ZJwEIMFRHAwtHUjYIBC8OCgoBFysCAgJEjfyuUDUCAggjHQgIBukKHQIQnLISCQ2NAAAAAgBq//oCjwcUACkAOABsALIoAAArsCYzsQIF6bAgMrIPAgArsBIzsQsD6bAWMgGwOS+wBtaxHQvpsgYdCiuzQAYACSuwDTKwBhCwKiDWEbQ2DAAeBCuxOgErsR02ERKwJzkAsQIoERKxACc5ObALEbABObAPErAROTAxNzQXPgE/AREnLgEnJjc2MzIENzYXFgciBiMOARURFBYXMhceAQYjJgciGwE2FzcyHgEHFBUHAQYmahNeLQQCAgItUiUPBhYKAYhFHwIGEAQTBl4vOVQXCAwECgj+/hmIZA4ZtAgPCAIC/tsKMRknAQgwVEcDC0dSNggELw4KCgEXKwICAkSN/K5QNQICCCMdCAgFrgFQGwECBAgIAgQE/qAMBwAAAgBE//oCjgb5ABIAPQBbALI8AAArsDozsRYF6bA0MrIjAgArsCYzsR8D6bAqMgGwPi+wGtaxMQvpshoxCiuzQBoTCSuwITKxPwErsTEaERKyAw47OTk5ALEWPBESsDs5sSMfERKwJTkwMRsBNjc+ARcWFxMWBwYvAQcGJyYTNDYzPgE/AREnLgEnJjc2MzIENzYXFgciBiMOARURFBYXMhceAQYjJAciRLQIEgx6FBsItA4QHQz66xIZCCgNBmAtBAICAi1UJQ8GFggBikcfAgYQBhMEXjE7UhcIDAYKCP8A/BsFogE/DAkCAgICE/7JGQIIDdTUEA0G+oAMGggwVEcDC0dSNggELw4KCgEXKQQCAkaL/K5QNQICCCMdCAgAAwA3//oCmgaYAAcAMQA7AK0AsjAAACuwLjOxCgXpsCgyshcCACuwGjOxEwPpsB4ysDovsAYztDUKABEEK7ACMgGwPC+wDtaxJQvpsg4lCiuzQA4ICSuwFTKzBSUOCCu0AQ8AGQQrsAEvtAUPABkEK7MzJQ4IK7Q4DwAZBCuxPQErsQ4BERKzAwYXMCQXObEzBRESsC85sTglERK1GR0sLjU6JBc5ALEKMBESsQgvOTmwExGwCTmwFxKwGTkwMRI0NjIWFAYiAzQXPgE/AREnLgEnJjc2MzIENzYXFgciBiMOARURFBYXMhceAQYjJgciADQ2MzIWFAYjIjdIZkhIZhUTXi0EAgICLVIlDwYWCAGKRR8CBhAEEwZeLzlUFwgMBAoI/v4ZAThHNDVISDUzBelnSEhnR/p3JwEIMFRHAwtHUjYIBC8OCgoBFysCAgJEjfyuUDUCAggjHQgIBe9nSEhnRwACAAD/9AXyBVYANwBYAIgAsh4AACuxOwPpsiAAACuxJwTpshMCACuxSAPpshACACuxDATptDUEIBMNK7BPM7Q1CgAfBCuwVTIBsFkvsDLWsAgysTgL6bBMMrI4Mgors0A4UwkrsjI4CiuzQDIACSuwOBCxQQErsRgP6bFaASuxQTgRErETHjk5ALEENRESshhBUzk5OTAxETU0FzMyNzY3ETQmIyI3ND8BNiEyBBcWERQABw4BIyAHBiY1NDc2NzsBMhYzMjY3NjQ1ETQjByYBFBYzMjY3NhI1NAInJicmIyIHBhURFDMlMh0BBiMFIhUnohAGDgE4fR8BHqiaATXLARJt+P7h32iCz/4/SQgQBAgIBgYCDwRcPwMCJa4bAbQte4+SSpizcGN33G9UOxsfJwElLQoh/tclAntIHwEGBhsBI5Y7JSMGBgZET7b+vun+fj8fDAICDAgpBhABAjNSFC8TARwfAgT+ZWQoFyNGATe8nAEETlwWDAIMI/4hIwIlPSUCJwAAAAIARv/pBnEGuABJAGgAzQCySQAAK7BHM7EEBOmwQTKyMgAAK7IOAgArsCQzsQkD6bEgLTIysFwvtFAKABwEK7NgUFwIK7RMCgAdBCsBsGkvsAbWsTwM6bIGPAors0AGDAkrsDwQsUoBK7RmDAAeBCuwZhCxUwErtFkMAB4EK7BZELEXASuxMQzpsWoBK7FKPBESsxA3EkIkFzmwZhGwRzmwUxK1ICRFTCJcJBc5sRdZERKxEyU5OQCxCQQRErQTFDA3OCQXObAOEbEMEjk5sFwSsGg5sFARsGM5MDEWJjc2NzI1ESYnBiY1NDMWNzIXARY3NjURNC4BJyYnJiciJjYzFiUyHgEVFgYjDgEVERQGJyYJASYOARURFBcWFxY2FhcWBiMkBwESMzIXFjMyNjc0MzYHFhUUBiMiJyYnIgYHFAYHDgFKCAoKFJ43bwgIIap7HRQDRQwTBAIMDBIoIU8MDQoPlgFhBAcCAg0SdzNIBg7+Jf4lBgsGDBRPDiktBAoKGf6ylwHPDL1SdlInIyMMGxkBBHJYUnVUJR8gDQQCBi0KNwoOAXYECykCAhYOIQQEGPxBEh4ICQKkPTUyDBIGBAUkIQYIEBUCFAoENnb7xhsIDw4CHQIcBAgWEf0NaCRCBQIECAkSLwYIBaIBFFI3N1AMBBANDm+PUDsBKTgEFgoOBQAAAAADAG3/2QYnBwwACwAZACYARwCyCQAAK7EPBOmyAwIAK7EXBukBsCcvsADWsQwP6bAMELEUASuxBg/psSgBK7EUDBESswMJGyIkFzkAsRcPERKxBgA5OTAxExAAISAAERAAISAAExAAMzI+AjUQACMiAgEmNjM3MhcWFxQGJyZtAZ8BRgE/AZb+YP7H/sH+Xt0BN/CDvGsv/sr70/wBUAoWEpwfCDUxKQxtAn8BOQGe/oP+3f7J/loBhQFW/uf+imCszXsBIQFy/rIDJQodAhCLwxIJDY0AAAADAG3/2QYnBxQACwAZACcAVQCyCQAAK7EPBOmyAwIAK7EXBukBsCgvsADWsQwP6bAMELEaASu0JQwAHgQrsCUQsRQBK7EGD+mxKQErsRQlERKzCQMPISQXOQCxFw8RErEGADk5MDETEAAhIAAREAAhIAATEAAzMj4CNRAAIyICARM2FzcyHgEHFAcBBiZtAZ8BRgE/AZb+YP7H/sH+Xt0BN/CDvGsv/sr70/wBtGQGH7QIDwgCAv7bCi8CfwE5AZ7+g/7d/sn+WgGFAVb+5/6KYKzNewEhAXL+sgHqAVAbAQIECAgIAv6gDAcAAAMAbf/ZBicG+QALABkALABHALIJAAArsQ8E6bIDAgArsRcG6QGwLS+wANaxDA/psAwQsRQBK7EGD+mxLgErsRQMERKzAwksJCQXOQCxFw8RErEGADk5MDETEAAhIAAREAAhIAATEAAzMj4CNRAAIyICARM2Nz4BFxYXExYHBi8BBwYnJm0BnwFEAT8BmP5g/sX+wf5g3QE38IO8ay/+yvvT/AEEtggTDHkUFwyyDg4hCPrrEhkKAn8BOQGe/oP+3f7J/loBhQFW/uf+imCszXsBIQFy/rIB5AE/DAkCAgICE/7JGQIIDdTUEA0GAAAAAAMAbf/ZBicGuAALABkAOACKALIJAAArsQ8E6bIDAgArsRcG6bAsL7QgCgAcBCuzMCAsCCu0HAoAHQQrAbA5L7AA1rEMD+mwDBCxGgErtDYMAB4EK7A2ELEjASu0KQwAHgQrsCkQsRQBK7EGD+mxOgErsSM2ERK1Aw8XHAksJBc5ALEXDxESsQYAOTmxLAMRErA4ObAgEbAzOTAxExAAISAAERAAISAAExAAMzI+AjUQACMiAhMSMzIXFjMyNjc0MzYHFhUUBiMiJyYnIgYHFAYHDgFtAZ8BRgE/AZb+YP7H/sH+Xt0BN/CDvGsv/sr70/ysDLxSd1InIyMMGxkBBHJZUnRUJR8hDAQCBi0CfwE5AZ7+g/7d/sn+WgGFAVb+5/6KYKzNewEhAXL+sgHcARRSNzdQDAQQDQ5vj1A7ASk4BBYKDgUAAAAEAG3/2QYnBpgACwAZACEAKQBzALIJAAArsQ8E6bIDAgArsRcG6bAhL7AoM7QdCgARBCuwJDIBsCovsADWsQwP6bAMELEbASu0Hw8AGQQrsB8QsSMBK7QnDwAZBCuwJxCxFAErsQYP6bErASuxIx8RErMJDxcDJBc5ALEXDxESsQYAOTkwMRMQACEgABEQACEgABMQADMyPgI1EAAjIgISNDYyFhQGIiQ0NjIWFAYibQGfAUYBPwGW/mD+x/7B/l7dATfwg7xrL/7K+9P81UlnSEhnASNIZkpKZgJ/ATkBnv6D/t3+yf5aAYUBVv7n/opgrM17ASEBcv6yAitnSEhnR0dnSEhnRwABAN8AvATLBLAAKgAANyY3ATYnASY/ATYXFhcWNjc2Nz4BHwEWBwYABwYXARYPAQYnASYHBgcGJ98hIQFzHx3+mCseKxsantUXGhuJzQoxBzUbHSH+1S8hHQF0Jx4tIxn+oCsxZPIlJeMdHwFyHx8BbCsdKxsbmOMUAhZ/5g4MBi8bHh/+zysZHP6NJxkkHRgBZy81b+klIwAAAAADAGb/dQZxBZgAKAA1AEQAdACyFQAAK7E6BumwMy+xAwbpAbBFL7AB1rEpD+mwKRCxPgErsRIP6bFGASuxKQERErIaIiQ5OTmwPhFADAcOAxAVGSUPKCYwNyQXObASErIIDQw5OTkAsTM6ERJADAEFBw4SFxgZJSwGQSQXObADEbANOTAxEhAAITIXFj8BNh8BFg8BBhcWERAAISInJg8BBi8BLgI0JjY/ATY0JwMUFxY3AAE2JyYjIgATBhcWMzI3NjU0JyYHBgBmAcMBTPbAFBd9EBUQFBx5EBji/kP+u+PHIxmZFxAIBgMKAgQEoAwIEnsbGgGeASggG6Lm2f7m3Rcdosj8jHZ6EBli/eUBUgJvAaV0DBiYEA4NDiGJEhfD/tX+xf5UbRIdthsPBAYECAYJCgSyDB0GAjPwryUfAfoBRRoXlv6q/RodHInKqen6shcdcf2LAAIAMP/ZBlgHDAA7AEgAdgCyMQAAK7QUCgAfBCuyAgIAK7AgM7E6A+myCRwlMjIyAbBJL7A21rERC+mwERCxRwErtEQMAB4EK7BEELEYASuxKQzpsikYCiuzQCkkCSuxSgErsUcRERK0BAcUMT0kFzmxGEQRErAfOQCxOhQRErEpNjk5MDESNjM2IBcyFgYnIyIGBxQGFREUEjMgNzYnETQmLwEiJjM2BTIUBw4BFREUDgIHDgEjIAMuATURNCYnIgEmNjM3MhcWFxQGJyYtBg8rAX9+DAkKCxRaPgQCwe0BMVshAUF3DhAHF+MBFxISd0YGH0k+XLiS/neNHxA8dAoCQQgUE50dCjwpKQtzBRIhBAQjIAI6VA49D/5x+v7f9FbFAXKsYQIEPwQEPQIEYab+iGRpkG41UkYBM0Z1lQIVVCsCAfEKHQIQnLISCQ2YAAIAMP/ZBlgHFAA7AEoAdwCyMQAAK7QUCgAfBCuyAgIAK7AgM7E6A+myCRwlMjIyAbBLL7A21rERC+mwERCxPAErtEgMAB4EK7BIELEYASuxKQzpsikYCiuzQCkkCSuxTAErsTwRERKxBAc5ObEYSBESsxQfMUQkFzkAsToUERKxKTY5OTAxEjYzNiAXMhYGJyMiBgcUBhURFBIzIDc2JxE0Ji8BIiYzNgUyFAcOARURFA4CBw4BIyADLgE1ETQmJyIlEzYXNzIeARUUFQcBBiYtBg8rAX9+DAkKCxRaPgQCwe0BMVshAUF3DhAHF+MBFxISd0YGH0k+XLiS/neNHxA8dAoCpWUGHrcIDAgC/tkKLwUSIQQEIyACOlQOPQ/+cfr+3/RWxQFyrGECBD8EBD0CBGGm/ohkaZBuNVJGATNGdZUCFVQrArYBUBsBAgQICAIEBP6gDAcAAgAw/9kGWAb5ADsATgBiALIxAAArtBQKAB8EK7ICAgArsCAzsToD6bIJHCUyMjIBsE8vsDbWsREL6bARELEYASuxKQzpsikYCiuzQCkkCSuxUAErsRgRERK2BAcUHzFORiQXOQCxOhQRErEpNjk5MDESNjM2IBcyFgYnIyIGBxQGFREUEjMgNzYnETQmLwEiJjM2BTIUBw4BFREUDgIHDgEjIAMuATURNCYnIiUTNjc+ARcWFxMWBwYvAQcGJyYtBg8rAX9+DAkKCxRaPgQCwe0BMVshAUF3DhAHF+MBFxISd0YGH0k+XLiS/neNHxA8dAoB97QIEwx5FxkHtQ4QHQz67BAZCgUSIQQEIyACOlQOPQ/+cfr+3/RWxQFyrGECBD8EBD0CBGGm/ohkaZBuNVJGATNGdZUCFVQrArABPwwJAgICAhP+yRkCCA3U1BANBgAAAAMAMP/ZBlgGmAA7AEMASwCeALIxAAArtBQKAB8EK7ICAgArsCAzsToD6bIJHCUyMjKwQy+wSjO0PwoAEQQrsEYyAbBML7A21rERC+mwERCxPQErtEEPABkEK7BBELFFASu0SQ8AGQQrsEkQsRgBK7EpDOmyKRgKK7NAKSQJK7FNASuxPRERErAEObBBEbEKBzk5sEUSsTEUOTmwSRGxHB85OQCxOhQRErEpNjk5MDESNjM2IBcyFgYnIyIGBxQGFREUEjMgNzYnETQmLwEiJjM2BTIUBw4BFREUDgIHDgEjIAMuATURNCYnIiQ0NjIWFAYiJDQ2MhYUBiItBg8rAX9+DAkKCxRaPgQCwe0BMVshAUF3DhAHF+MBFxISd0YGH0k+XLiS/neNHxA8dAoB50lnSEhnASFKZkhIZgUSIQQEIyACOlQOPQ/+cfr+3/RWxQFyrGECBD8EBD0CBGGm/ohkaZBuNVJGATNGdZUCFVQrAvdnSEhnR0dnSEhnRwAAAAIAIf/4BdcHFABHAFYAjACyNAAAK7EuBOmxOz4yMrIcAgArsAQzsRkD6bIKIkYyMjIBsFcvsEjWtFQMAB4EK7BUELFACyuwQjKxKwvpsitACiuzQCszCSuwKxCxFQErtCAPAAwEK7FYASuxK1QRErBBObAVEbQaHDRQUiQXObAgErEdIjk5ALEZLhESsgwQPDk5ObAcEbAgOTAxEyY3NhcENzIWBiMiFRQXARY2NxM2NTQmKwEmNjMWJTIVFCcGBwYHARwCFRQWFzI2FxYUIyQHIiY3Njc2FjM2NzYnAS4BJyIlEzYXNzIeARUUFQcBBiYhBAQEEgGLnAgTCheBQgESCCUK20IvRhQSAxWyARcSEmhCH0z+0TNACDEKGRn+aqcQDQYIIwoqBG0FCgj+ikhgXxkCX2QOF7cIDAgC/tkKLwT+DBEZAQYGIR4pGWb+WgoSEwFybRwfFwg5BgYfIwEGRCF//f4tfYMOO0IIAgQGRgYEKxAUAQIEBn2aiQJJcUQEuAFQGwECBAgIAgQE/qAMBwAAAgAn//YEbwVGAEoAWwCQALIuAAArsDAzsSkD6bA3MrIDAgArsAUzsUcD6bAKMrQgTzADDSuxIAPptBZXMAMNK7EWB+kBsFwvsDvWsSYL6bESSzIysiY7CiuzQCYICSuyOyYKK7NAOwAJK7AmELFSASuxHQ/psV0BK7EmOxESsC85sFIRtQQGFyAtLiQXOQCxTyARErAjObBXEbAdOTAxEzU0NwQ3MgcVFCMGKwEOAQcGBxUUFjczMhcWFxYVFAQjIicmBh0BFBY7ARYVFiMkByImNzY3NjMyNzY3NRE0JyYnJiMmJysBIicmARQXFjMyNjU0JicmIyIHBhUnHQGRdR8BCAIKFUIqCA4BGRBCpH9aSIP+5/JUPwwJRF4rKwQl/tH+EhACBAYGHWAUDgEPCiMGEiMMDRwOBRABlRsnLaDGSUJSgScjLQUfEhQBCAYTFhcCBAwPFzAtDhsCHxc5aK7D4woCEAtFVDoEEC8ICggQFwgKIRcvZANacxgSBQICAgIE/I4rBwbHomKTIysEDBkAAAABACf/3QQEBbAAUADMALJOAAArsEwzsQMD6bBGMrIeAAArsSgK6bBFMrIoHgorswAoJAkrsC8vsTYH6bA8L7ENBukBsFEvsAbWsUIN6bJCBgors0BCSAkrsgZCCiuzQAYACSuwQhCxKwErsRsL6bIrGworswArIQkrsCsQsDkg1hGxEA3psjkQCiuzQDkzCSuxUgErsUIGERKwTTmwORG1Ew0XFS9MJBc5sCsSsBg5ALEDThESswBISk0kFzmwLxGyBhgbOTk5sDYSshMIFzk5ObA8EbAQOTAxNzQ2Nz4BPQERNDY3NjMyFhUUBgcOARYXFhcWFRQGIyImNTQ2MzIXFjMyNjUQJyYnIicmNTQ2Nz4BNTQmIyIGHQERFRQWMx4BFRQHBicmBwYmJwYSUCEpQnW+nNSHeQoEBgt1W3Pbli89IxoXLy8KKUDTMzgUCAQGEIeQf2dtciNIFAwCBgzZtQ4KFxcJAgQpWFACCe7CVpO+jGiqNQQHBAIhV3GmqPorJR0rHRSffQFWLQoBCAYSDgkCEpx/fZe0uIX9l1xOJQQMGBAHCgIICAIOAAMAM//nAy0FRAA2AEMAUAC0ALIYAQArsQkI6bI0AAArsCszsToJ6bI0AAArtCIKACEEK7I6NAors0A6JwkrskgCACsBsFEvsBTWsAAysQwN6bE3DemwDBCxPQErsQZPMjKxHw3ptEwMAB4EK7FSASuxNxQRErBFObAMEbBEObA9ErcDAhguNDpCUCQXObBMEbAtObAfErArOQCxOjQRErAxObAiEbMpLS4wJBc5sAkStgASFB49P0IkFzmxSBgRErBOOTAxNzQ3Njc2LwEmJyIGFRQXDgEHBiY1NDc2MzIWFx4BFREUFjI3Njc2MxYHBiMiJyYiDwEOASMiJjcUFjMyNjc1NAcGBwYTJjYzNzIXFhcUBicmM9lScRcBAgSHI1IGCmAQGxWCaFhCgSIZChUxDBkYCgkeEIdSWBMGBAoKQlY5WG+eQTAhdAwSL2NvAwgUE50dCEAnKQtzoJg5FzQOF4O4ATwgIw8KLwQKDB1MYlRCMyE7Y/6MPSgHCBYGBi13awYICDkoZ2wvQUshqh8IFyktBBEKHQIRqqQSCAyYAAAAAAMAM//nAy0FSgA2AEMAUgCuALIYAQArsQkI6bI0AAArsCszsToJ6bI0AAArtCIKACEEK7I6NAors0A6JwkrskcCACsBsFMvsBTWsAAysQwN6bE3DemwDBCxRAErtFAMAB4EK7BQELE9ASuwBjKxHw3psVQBK7FQFBESswM0OkIkFzmwPRGzLhgyQSQXObAfErArOQCxOjQRErAxObAiEbMpLS4wJBc5sAkStgASFB49P0IkFzmxRxgRErBROTAxNzQ3Njc2LwEmJyIGFRQXDgEHBiY1NDc2MzIWFx4BFREUFjI3Njc2MxYHBiMiJyYiDwEOASMiJjcUFjMyNjc1NAcGBwYbATY7ATIeARUUBgcBBiYz2VJxFwECBIcjUgYKYBAbFYJoWEKBIhkKFTEMGRgKCR4Qh1JYEwYECgpCVjlYb55BMCF0DBIvY29nZQYftggMCAIC/tsKL6CYORc0DheDuAE8ICMPCi8ECgwdTGJUQjMhO2P+jD0oBwgWBgYtd2sGCAg5KGdsL0FLIaofCBcpLQLVAVAbAgkIAgYC/qAMCAAAAAMAM//nAy0FMAA2AEkAVgCUALIYAQArsQkI6bI0AAArsCszsU0J6bI0AAArtCIKACEEK7JNNAors0BNJwkrAbBXL7AU1rAAMrEMDemxSg3psAwQsVABK7AGMrEfDemxWAErsUoUERKwSTmxUAwRErcDAhguNEVNVSQXObAfEbArOQCxTTQRErAxObAiEbMpLS4wJBc5sAkStgASFB5QUlUkFzkwMTc0NzY3Ni8BJiciBhUUFw4BBwYmNTQ3NjMyFhceARURFBYyNzY3NjMWBwYjIicmIg8BDgEjIiYbATY3PgEXFhcTFgcGLwEHBicmExQWMzI2NzU0BwYHBjPZUnEXAQIEhyNSBgpgEBsVgmhYQoEiGQoVMQwZGAoJHhCHUlgTBgQKCkJWOVhvNbcIEgx5FRcMtAoMHQz66xIZCmxBMCF0DBIvY2+gmDkXNA4Xg7gBPCAjDwovBAoMHUxiVEIzITtj/ow9KAcIFgYGLXdrBggIOShnA4sBQAwIAgICAhL+yBkBCAzV1RAOBvzpL0FLIaofCBcpLQAAAAADADP/5wMtBOUANgBVAGIAzACyGAEAK7EJCOmyNAAAK7ArM7FZCemyNAAAK7QiCgAhBCuyWTQKK7NAWScJK7BJL7Q9CgAdBCuzTT1JCCu0OQoAHQQrAbBjL7AU1rEANzIysQwN6bFWDem0UwwAHgQrsAwQsVwBK7AGMrEfDemwHxCxQAErtEYMAB4EK7FkASuxXFMRErcDAhguNDk7SyQXObAfEbIrPUk5OTmwQBKwITkAsSJZERKzKS0uMCQXObAJEbYAEhQeXF5hJBc5sUkYERKwVTmwPRGwUDkwMTc0NzY3Ni8BJiciBhUUFw4BBwYmNTQ3NjMyFhceARURFBYyNzY3NjMWBwYjIicmIg8BDgEjIiYTEjMyFxYzMjY3NDM2BxYVFAYjIicmJyIGBxQGBw4BExQWMzI2NzU0BwYHBjPZUnEXAQIEhyNSBgpgEBsVgmhYQoEiGQoVMQwZGAoJHhCHUlgTBgQKCkJWOVhvFwy8UndSJyMjDBsZAQRzWFJ0VCUfIQwEAgYtg0EwIXQMEi9jb6CYORc0DheDuAE8ICMPCi8ECgwdTGJUQjMhO2P+jD0oBwgWBgYtd2sGCAg5KGcDeQEUUjc3UAwEEA0Ob45POwEpNwQXCg4F/QYvQUshqh8IFyktAAQAM//nAy0EyQA2AEEATgBZAK4AshgBACuxCQjpsjQAACuwKzOxRQnpsjQAACu0IgoAIQQrskU0CiuzQEUnCSuwVy+wPzO0UgoAEgQrsDoyAbBaL7A31rE9D+mwFCDWEbAAM7EMDemxQg3psD0QsUgBK7EGTzIysR8N6bFVD+mxWwErsT03ERK0AwI0RU0kFzmwSBG0LxgyS0wkFzmxVRQRErEhKzk5ALEiRRESsyktLjAkFzmxGDQRErESSjk5MDE3NDc2NzYvASYnIgYVFBcOAQcGJjU0NzYzMhYXHgEVERQWMjc2NzYzFgcGIyInJiIPAQ4BIyImEzQ2MzIWFRQGIiYTFBYzMjY3NTQHBgcGATQ2MzIWFAYjIiYz2VJxFwECBIcjUgYKYBAbFYJoWEKBIhkKFTEMGRgKCR4Qh1JYEwYECgpCVjlYb1RGMS9GRGJGSkEwIXQMEi9jbwERRi8xRkYxL0agmDkXNA4Xg7gBPCAjDwovBAoMHUxiVEIzITtj/ow9KAcIFgYGLXdrBggIOShnBAYvRkYvMURE/JcvQUshqh8IFyktA0ovRkZeRkQAAAAEADP/5wMtBXEANgBAAE0AVwDVALIYAQArsQkI6bI0AAArsCszsUQJ6bI0AAArtCIKACEEK7JENAors0BEJwkrsD8vsVEJ6bBWL7E6CekBsFgvsDjWtE8MAFEEK7MMTzgIK7EUDemwFC+wADOxDA3psUEN6bBPELFHASuwBjKxHw3ps1QfRwgrtD0MAEAEK7FZASuxTzgRErECNDk5sEcRQAoDLjI6P0QYTFFWJBc5sVQUERKwLTmwHxGwKzkAsSJEERKzKS0uMCQXObAJEbYAEhQeR0lMJBc5sVZRERKzODw9NyQXOTAxNzQ3Njc2LwEmJyIGFRQXDgEHBiY1NDc2MzIWFx4BFREUFjI3Njc2MxYHBiMiJyYiDwEOASMiJhI0NjMyFhQGIyIDFBYzMjY3NTQHBgcGEhQWMzI2NCYjIjPZUnEXAQIEhyNSBgpgEBsVgmhYQoEiGQoVMQwZGAoJHhCHUlgTBgQKCkJWOVhvi3tYVHt7VFhoQTAhdAwSL2NvT0MvLUJCLS+gmDkXNA4Xg7gBPCAjDwovBAoMHUxiVEIzITtj/ow9KAcIFgYGLXdrBggIOShnA/iwe3uwe/zvL0FLIaofCBcpLQPDXkREXkMAAAADAEz/3QUEA3cARgBTAF8ArACyGAEAK7EICOmyHgEAK7FeBemyPQAAK7BEM7QwCgAfBCuyPQAAK7FKCem0Vik9Hg0rsVYD6QGwYC+wANaxRw3psBQg1hGxCw3psEcQsUwBK7AFMrErDemyK0wKK7NAKyYJK7FhASuxTAsRErQDGEJEUiQXObArEbMaHD9BJBc5ALEpMBESQAkABTU/QEFHTE4kFzmwVhGxJRI5ObAIErYOFBobHCEiJBc5MDE3NDY3Njc1NCMiBhUUFhQGDwEGJjU0NzYzMhcWNzY3MhYXFhcWFxUUJyEiFRQXHgEzMjY3PgEfARYHBgcGByInJgcOASMiJjcUFjM2NzU0BwYHDgEBBhczITI2Jy4BIyJMbpxgXJEzTAQGCnEUFYdoW4dYDBNzl22FNQQICBsp/gozGxuPVEJkPwgbBg4OElJYXl6wbQwSQqZGVnKiPTNSYhRCPVY7AdAELQUBMQoMAhJhPZaYWlgpFzuPxTolBhQNEAQzChwXSGhOaQ4UZgFjdAoRFBsfGQEti0xQaThDCAIGEAwXXjc7AZwUEkZYa2w1QAFgvh0KIRUdOQGQFAERCFZiAAAAAAEAM/4hAxcDdQBCAH4AsgMBACuxDQTpsg0DCiuzAA0JCSuyQAAAK7ETCumyHwAAK7AoL7EzB+kBsEMvsADWsRAN6bAQELE2ASuxJQzpsUQBK7E2EBEStQ0hIigsQSQXObAlEbQLEx8jAyQXOQCxMygRErAvObBAEbEiJTk5sQ0TERKyABYbOTk5MDETNAAzMhYVFAYjIicmIyIGFRQWMzI3NhceAhcWBwYPAQYXHgEVFAYjIicuATc2NzYyFjMyNjU0JgcGJj8BNiYjLgEzASHPZJArHzVKOTxmnKB7k14MFwYEBQIQE3mvJRIOO1BzTi8pBgYEAgYEGSEEKzlzNQYZB4MGBgucxAGLzQEdSjkhK0g52ZSexokfBgIECQQMG7gaRCECCFxAUHAOAhMKAgwIBjgmRggvBhAN2QgUCOwAAwAx/+EDNQVEACIALgA7AFIAsgMBACuxLQPpsiAAACu0FQoAIAQrsjMCACu0Jg4gAw0rsSYD6QGwPC+wANaxEg3psT0BKwCxDhURErEAGDk5sS0gERKwBTmxMwMRErA5OTAxEzQSMzIfARYXFgcUIwYlIgcGFRQWMzI3NhceAQcGBwYjIgITBhYzITI2Jy4BIyIDJjYzNzIXFhcUBicmMfC030gOGxAEBBqe/nklAgSwgZFvDhEMDgZETXN/otmwAhsIATMQIwIXZkGLHQoWE5sfCDYxKQ1tAZ7JAQi1Ii0VDxISBgYVFyaez4MOAwQdClA+WAECAZIGCw0MVF4B7AodAhGLwxIIDI0AAAMAMf/hAzUFSgAiAC4APABqALIDAQArsS0D6bIgAAArtBUKACAEK7IyAgArtCYOIAMNK7EmA+kBsD0vsADWsRIN6bASELEvASu0OgwAHgQrsT4BK7EvEhESsQ4kOTkAsQ4VERKxABg5ObEtIBESsAU5sTIDERKwOzkwMRM0EjMyHwEWFxYHFCMGJSIHBhUUFjMyNzYXHgEHBgcGIyICEwYWMyEyNicuASMiNxM2OwEyHgEHFAcBBiYx8LTfSA4bEAQEGp7+eSUCBLCBkW8OEQwOBkRNc3+i2bACGwgBMxAjAhdmQYtHZQYftAoMCAIC/twKMAGeyQEItSItFQ8SEgYGFRcmns+DDgMEHQpQPlgBAgGSBgsNDFResAFQGwIJCAgC/qAMCAAAAwAx/+EDNQUwACIANQBBAFMAsgMBACuxQAPpsiAAACu0FQoAIAQrtDkOIAMNK7E5A+kBsEIvsADWsRIN6bFDASuxEgARErA1OQCxDhURErEAGDk5sDkRsAg5sEASsQcFOTkwMRM0EjMyHwEWFxYHFCMGJSIHBhUUFjMyNzYXHgEHBgcGIyICGwE2Nz4BFxYXExYHBi8BBwYnJhMGFjMhMjYnLgEjIjHwtN9IDhsQBAQanv55JQIEsIGRbw4RDA4GRE1zf6LZcbYIEwx5FBcMtAoMHQz66xIZCkMCGwgBMxAjAhdmQYsBnskBCLUiLRUPEhIGBhUXJp7Pgw4DBB0KUD5YAQIC9gFADAgCAgICEv7IGQEIDNXVEA4G/qQGCw0MVF4AAAQAMf/hAzUEyQAiAC0AOQBEAI4AsgMBACuxOAPpsiAAACu0FQoAIAQrtDEOIAMNK7ExA+mwQi+wKzO0PQoAEgQrsCYyAbBFL7AA1rESDemzIxIACCuxKQ/psBIQsToBK7FAD+mxRgErsSkSERKzDiYsLyQXObA6EbMVIAM4JBc5sEASsDQ5ALEOFRESsQAYOTmwMRGwCDmwOBKxBwU5OTAxEzQSMzIfARYXFgcUIwYlIgcGFRQWMzI3NhceAQcGBwYjIgITNDYzMhYVFAYiJhMGFjMhMjYnLgEjIhM0NjMyFhQGIyImMfC030gOGxAEBBqe/nklAgSwgZFvDhEMDgZETXN/otmDRjEvRkRiRi0CGwgBMxAjAhdmQYvxRi8xREQxL0YBnskBCLUiLRUPEhIGBhUXJp7Pgw4DBB0KUD5YAQIDcS9GRi8xRET+UgYLDQxUXgElL0ZEYkREAAL/8v/8AfgFRAAMAC4AUwCyBAIAK7AsL7EPA+mwJTIBsC8vsBPWsSAN6bMIIBMIK7QLDAAeBCuwCy+0CAwAHgQrsTABK7EICxESsCs5sCARsAk5ALEEDxESsgoOHjk5OTAxAyY2MzcyFxYXFgYnJgMmFzMyNjURNCYnJicuATclNhURFBceATsBFgcUIyYHBiYOChQSnh0KOykCKQxtbgQSG1gjESYvJQoDCgEFKQICJT8XEAQMuvcGCgUbCh0CEZyyEggMjfu3IwE8hwFvTBwICg0CKwZaDiv9mk4cOSADHx8EBAIUAAACACn//AH6BUoAIQAvAEMAsiUCACuwHy+xAgPpsBgyAbAwL7AG1rETDemwIiDWEbQtDAAeBCuxMQErsRMtERKwHjkAsSUCERKzARErLiQXOTAxNyYXMzI2NRE0JicmJy4BNyU2FREUFx4BOwEWBxQjJgcGJhsBNjsBNhYHFAcVAQYmKQQSG1gjESYvJQoDCgEFKQICJT8XEAQMuvcGCnNkDBu0DBMCAv7bCjEbIwE8hwFvTBwICg0CKwZaDiv9mk4cOSADHx8EBAIUA9EBUBsCCwoCBAT+oAwIAAAAAv/p//wCKwUwABIANAAnALAyL7EVA+mwKzIBsDUvsBnWsSYN6bE2ASuxJhkRErEOMTk5ADAxAxM2Nz4BFxYXExYHBi8BBwYnJhMmFzMyNjURNCYnJicuATclNhURFBceATsBFgcUIyYHBiYXtwgSDHkVFwy0CgwdDPrrEhkKQwQSG1gjESYvJQoDCgEFKQICJT8XEAQMuvcGCgPZAUAMCAICAgIS/sgZAQgM1dUQDgb8SiMBPIcBb0wcCAoNAisGWg4r/ZpOHDkgAx8fBAQCFAAAAAAD/+X//AJIBM8ABwApADEAfgCwJy+xCgPpsCAysAcvsDAztAMKABEEK7AsMgGwMi+wDtaxGw3pswUbDggrtAEPABkEK7ABL7QFDwAZBCuzKxsOCCu0Lw8AGQQrsTMBK7EOAREStAMGCRYnJBc5sSsFERKwJjmxLxsRErMiJSwxJBc5ALEHChESsQkZOTkwMQI0NjIWFAYiAyYXMzI2NRE0JicmJy4BNyU2FREUFx4BOwEWBxQjJgcGJgA0NjIWFAYiG0hmSEhmBAQSG1gjESYvJQoDCgEFKQICJT8XEAQMuvcGCgElSGZKSmYEIWZISGZI/EIjATyHAW9MHAgKDQIrBloOK/2aThw5IAMfHwQEAhQEE2ZISGZIAAAAAAIAXv/dBAYFXgA2AEIAewCyAwEAK7FABOmyNAAAK7E6BumyIAIAK7EaCOmyJAIAKwGwQy+wANaxNw3psDcQsT0BK7EwDemxRAErsTcAERKzEBMUHCQXObA9EUAKAxUHGiImFys0KSQXOQCxQDoRErEwADk5sRoDERK0DhEiKCskFzmwIBGwJzkwMRM0ADMyFxY2JyYnJicuAQcFBicmPwE+AScmJyImPwE2FxYXNzYXFg8BBhcWFxYXFhUQBwYjIgATFBIzMjY1NAIjIgZeAQrDRjcUFwwUGStIDDIU/vwUDQ4c4A4EEDNZCBgIEBIhmG/AIwwQHnMvKzs+Pyd3lYG7zf72sL2Dc5O6im2VAa7FAQoVBhUcLSNCPwwJCooEFyEOdQYfCiEeFQ4dHwspP2AKGBkQPhkeLUpMRdTp/u6BdQEGAQ/B/va0jcUBBLYAAAIAIf/6BAIE5QBMAGsA0gCyHAEAK7E9CumwDDKwPRCxDwfpshEBACuwMC+wRzOxNQPpsgIkQzIyMrBfL7RTCgAdBCuzY1NfCCu0TwoAHQQrAbBsL7AG1rFADemwFDKyBkAKK7NABg4JK7NNQAYIK7RpDAAeBCuwQBCxOwErsR4N6bNaHjsIK7RWDAAeBCuwVi+0WgwAHgQrsW0BK7E7aRESQAkRHC8zRUdPU18kFzmxHlYRErAhOQCxPTUREkAJCxUXGB4lNDs/JBc5sA8RsBk5sV8cERKwazmwUxGwZjkwMT4BOwEyNjURNCcmLwEmNDc+ATc2HQEUFjc2NzYzMhEUBhUUFjM2FxYHDgEjIiMiJAciJic0FzM+ATc2NTQjIgcRFBYzMhcUByYEJyInExIzMhcWMzI2NzQzNhUWFRQGIyInJiciBgcUBgcOAR0IDgxILQgISCkKCiGsJS8OCGBKVjrjECFFEg8KBgIIDwQCK/7TLRQLAhEORDMGDJVgnC1QDgQcL/7ZMhkDoAy8UndSJyMiDRoZBHNYVnBWIx8hDAQCBi0UJ06HARmWEBIPCAIxBAZKCAwvcAYZBkQlKf6PPfZALxsMEhIZDAYCAgwVIwEGLj938uN5/jFOKSIhAgIEBAoDwQEUUjc3UAwEEA0Ob45POwEpNwQXCg4FAAAAAwAv/+EDzwVEAAsAFwAkAGkAsgMBACuxFQbpsgkAACuxDwTpshwCACsBsCUvsADWsQwN6bAMELEjASu0IAwAHgQrsCAQsRIBK7EGC+mxJgErsSMMERK0CQMPFRkkFzmxEiARErAhOQCxFQ8RErAAObEcAxESsCI5MDETNAAzMgAHFAAjIgATFBIzMjY1NAIjIgYTJjYzNzIXFhcWBicmLwEIxccBDgL+9sPH/vSyuYFtkbt/bZF1CBQTnR0KPCkCKwtzAajFAQT++MO+/vkBBAEEuv7+uY+yAQC0AqgKHQIRnLISCAyYAAMAL//hA88FSgALABcAJgBgALIDAQArsRUG6bIJAAArsQ8E6bIbAgArAbAnL7AA1rEMDemwDBCxGAErtCQMAB4EK7AkELESASuxBgvpsSgBK7ESJBESswMJDx8kFzkAsRUPERKwADmxGwMRErAlOTAxEzQAMzIABxQAIyIAExQSMzI2NTQCIyIGGwE2OwEyHgEHFBUHAQYmLwEIxccBDgL+9sPH/vSyuYFtkbt/bZHZZQ4XtggMCwID/twMMAGoxQEE/vjDvv75AQQBBLr+/rmPsgEAtAFsAVAbAgkIAgQE/qAMCAAAAAADAC//4QPPBTAACwAeACoAUACyAwEAK7EoBumyCQAAK7EiBOkBsCsvsADWsR8N6bAfELElASuxBgvpsSwBK7EfABESsB45sCURsgkaAzk5ObAGErAWOQCxKCIRErAAOTAxEzQAMzIABxQAIyIAGwE2Nz4BFxYXExYHBi8BBwYnJhMUEjMyNjU0AiMiBi8BCMXHAQ4C/vbDx/70orYIEwx5FBcMtAoMHQz57BIZChS5gW2Ru39tkQGoxQEE/vjDvv75AQQC9AFADAgCAgICEv7IGQEIDNXVEA4G/hi6/v65j7IBALQAAAAAAwAv/+EDzwTlAAsAKgA2AIUAsgMBACuxNAbpsgkAACuxLgTpsB4vtBIKAB0EK7MiEh4IK7QOCgAdBCsBsDcvsADWsSsN6bAlMrArELQMDAAeBCuwDC+wKxCxMQErsQYL6bAVINYRtBsMAB4EK7E4ASuxMQARErIDCR45OTkAsTQuERKwADmxHgMRErAqObASEbAlOTAxEzQAMzIABxQAIyIAExIzMhcWMzI2NzQzNgcWFRQGIyInJiciBgcUBgcOARMUEjMyNjU0AiMiBi8BCMXHAQ4C/vbDx/70ewy9UnZSJyMjDBsZAQRyWFJ1VCUfIA0EAgYtM7mBbZG7f22RAajFAQT++MO+/vkBBALiARRSNzdQDAQQDQ5vjk87ASk3BBcKDgX+Nbr+/rmPsgEAtAAAAAAEAC//4QPPBMkACwAXACEALABxALIDAQArsRUG6bIJAAArsQ8E6bAqL7AfM7QlCgASBCuwGjIBsC0vsADWsQwN6bAMELEYCyuxHQ/psB0QsRIBK7EGC+mzKAYSCCuxIg/psCIvsSgP6bEuASuxEgARErMDCSUqJBc5ALEVDxESsAA5MDETNAAzMgAHFAAjIgATFBIzMjY1NAIjIgYRNDYyFhUUBiImJTQ2MzIWFAYjIiYvAQjFxwEOAv72w8f+9LK5gW2Ru39tkUZeRkRiRAFYRi8zREQzL0YBqMUBBP74w77++QEEAQS6/v65j7IBALQB4S9GRi8xREQxL0ZGXkZEAAAAAAMAmACyBQwEvAAQABkAJAA/ALAYL7QUCgAYBCuwDi+0AwoAHwQrsCIvtB0KABgEKwGwJS+wGtawETKxHw3psBUysSYBK7EfGhESsCI5ADAxEzU0MyEzMhcWHwEWBiMhIiYANDYyFhQGIyIDNDYyFhUUBiMiJpg/A9MlFAkbAQQCJRz8DBIvAd0zSjExJSM1NUYzMyMlNQKgMyUCBhk7Gw4c/lZKMTFKMwO7IywxIyUzNgAAAAMAXv+cBAgDnAAmADIAPgCDALIDAQArsTEG6bIJAQArsg0BACuyGAAAK7E1BOmyIgAAKwGwPy+wANaxKAvpsCgQsTgBK7QVDQAuBCuxQAErsSgAERKyHCEkOTk5sDgRtQYYGwMuPiQXObAVErAIOQCxNRgRErAcObAxEUAKBQATFRoGIxsqOyQXObADErEIEDk5MDETNAAzMhcWNj8BNhcWFRYHBgcGFxYVFAAjIicmDwEGLwEmPwE2JyYSEBcWNjcBNicmIyIDFjMyNjU0JyYHAQZeAQzJkYAEFAJcDA0UDhwSPA4Kgf70w499EA9uEBEXChFsEAqDuTUCFgYBeQwMWHRvI1hzb5U5CA3+fwwBpscBCFICCgRtDAwQAw4dFEgOC4O+w/74TgoQiRAQEggXfRQKgQGM/uVsBgEJAbIOD2r9aGq9j3tyFAz+QgwAAAIAKP/sBCsFRABDAFAAqgCyIAEAK7QdBwBpBCuyBgEAK7IEAQArsjoAACu0DAoAIgQrsjAAACuySAIAKwGwUS+wPNaxCQ3psAkQsU8BK7RMDAAeBCuwTBCxEgErsDIysSUN6bFSASuxCTwRErIEREU5OTmwTxG1DB0eHzpQJBc5sRJMERKzDho3TSQXOQCxDDoRErInMzc5OTmwHRG3CSYoKjU2PEMkFzmwIBKxAwI5ObBIEbBOOTAxEiY3PgE3NhYVERQWMzI/AT4BNRE0JyYnLgInIicmNjc2NzYVERUUPwE2FgYHBgcGJi8BNCYHDgIjIgMRNCYnLgEnASY2MzcyFxYXFgYnJisGEBTDKRARTGhkggICBAYOMAoSCwYCQQwDDdFUKVgrDAoIDHF5FyACBAgHREmBO+cBEB0QPgQBDQgUEp4dCjspAisKcwMdLQQEMQgCGBH+FaRxZwYGEgkBYlwdNwgCBAIDCgYrBC8IBCT9dD9EFwwCHyMCMRgIChpQCB0GMTEzARoBsCMhCAYRAgIACh0CEZyyEggMmAAAAgAo/+wEKwVKAEMAUgCpALIgAQArtB0HAGkEK7IGAQArsgQBACuyOgAAK7QMCgAiBCuyMAAAK7JHAgArAbBTL7A81rEJDemwCRCxRAErtFAMAB4EK7BQELESASuwMjKxJQ3psVQBK7EJPBESsAQ5sEQRsDo5sRJQERKzDB4fNyQXObAlEbJLTE45OTkAsQw6ERKyJzM3OTk5sB0RtwkmKCo1NjxDJBc5sCASsQMCOTmwRxGwUTkwMRImNz4BNzYWFREUFjMyPwE+ATURNCcmJy4CJyInJjY3Njc2FREVFD8BNhYGBwYHBiYvATQmBw4CIyIDETQmJy4BJyUTNjsBMh4BBxQVBwEGJisGEBTDKRARTGhkggICBAYOMAoSCwYCQQwDDdFUKVgrDAoIDHF5FyACBAgHREmBO+cBEB0QPgQBhWUOF7YIDAsCA/7cDDADHS0EBDEIAhgR/hWkcWcGBhIJAWJcHTcIAgQCAwoGKwQvCAQk/XQ/RBcMAh8jAjEYCAoaUAgdBjExMwEaAbAjIQgGEQLEAVAbAgkIAgQE/qAMCAAAAgAo/+wEKwUwAEMAVgCGALIgAQArtB0HAGkEK7IGAQArsgQBACuyOgAAK7QMCgAiBCuyMAAAKwGwVy+wPNaxCQ3psAkQsRIBK7AyMrElDemxWAErsQk8ERKxBFY5ObASEbMeHzpSJBc5sCUSsE45ALEMOhESsiczNzk5ObAdEbcJJigqNTY8QyQXObAgErEDAjk5MDESJjc+ATc2FhURFBYzMj8BPgE1ETQnJicuAiciJyY2NzY3NhURFRQ/ATYWBgcGBwYmLwE0JgcOAiMiAxE0JicuASc3EzY3PgEXFhcTFgcGLwEHBicmKwYQFMMpEBFMaGSCAgIEBg4wChILBgJBDAMN0VQpWCsMCggMcXkXIAIECAdESYE75wEQHRA+BKK2CBMMeRUXC7UKDB0M+uwSGQoDHS0EBDEIAhgR/hWkcWcGBhIJAWJcHTcIAgQCAwoGKwQvCAQk/XQ/RBcMAh8jAjEYCAoaUAgdBjExMwEaAbAjIQgGEQK+AUAMCAICAgIS/sgZAQgM1dUQDgYAAAMAKP/sBCsEyQBDAE4AVwC0ALIgAQArtB0HAGkEK7IGAQArsgQBACuyOgAAK7QMCgAiBCuyMAAAK7BNL7BVM7RHCgASBCuwUTIBsFgvsDzWsQkN6bBEINYRsUoP6bAJELESASuwMjKxJQ3ps1QlEggrsU8P6bBPL7FUD+mxWQErsUpEERKxBDo5ObBPEbMdDB8eJBc5sFQSsg4aNzk5OQCxDDoRErInMzc5OTmwHRG3CSYoKjU2PEMkFzmwIBKxAwI5OTAxEiY3PgE3NhYVERQWMzI/AT4BNRE0JyYnLgInIicmNjc2NzYVERUUPwE2FgYHBgcGJi8BNCYHDgIjIgMRNCYnLgEnEzQ2MzIWFRQGIiYlNDYyFhQGIiYrBhAUwykQEUxoZIICAgQGDjAKEgsGAkEMAw3RVClYKwwKCAxxeRcgAgQIB0RJgTvnARAdED4ExUUwMUVFY0MBWEZiQ0NiRgMdLQQEMQgCGBH+FaRxZwYGEgkBYlwdNwgCBAIDCgYrBC8IBCT9dD9EFwwCHyMCMRgIChpQCB0GMTEzARoBsCMhCAYRAgE5L0ZGLzFERDEvRkZeRkQAAgAS/eMDzwVKAEAATwBaALIfAQArsQIiMzOxHAfpsgknPjIyMrJEAgArsDEvtDYKABcEKwGwUC+wQda0TQwAHgQrsVEBK7FNQRESsQksOTkAsRw2ERKxESw5ObAfEbA/ObBEErBOOTAxEzYXFiUyFxYGBw4BFRQXFhMWNzY1EzY3NjU0JicuATczNhcyFxYGIw4BBwMGBwYHBiMiJjU0Nz4BPwEBLgEnLgElEzY7ATIeAQcUBxUBBiYSBiMjATohBQQICEIoFhmkBhYEexQLEjNKCgITELB3IwQCCAY/TT3+SA4fKyE9JzlmP1UkHf76OTJJBgkBc2QMGbcIDAoCAv7bDC8DSBcFAgYQDiECAhkZFzAz/mgOIwQCATkzITcdJyECBjMCCggSDB8IYaL9VLgjSjMrOCQ/GhBxeF8CaoU4BgIcpAFQGwIJCAIEBP6gDAgAAAIABv38A9cFsgA5AEQAdQCyIAEAK7RCCgAgBCuwOC+xBQXpsDAysCYvsTwI6QGwRS+wCdaxLA3psRk6MjKwLBCxPwErsSMN6bFGASuxLAkRErA3ObA/EbMgJjQ2JBc5ALEFOBESsS4vOTmxPCYRErApObBCEbEjHTk5sCASsR4aOTkwMRM3NDYWMz4CNRE1NCYvASY3NDc2PwE2FhURFBcWNzYzMhYVFAAjIicmBh0BFBY/ATYWFxYGJyQHIgEWMzI2NTQmIyIHBgIPHgI1LBQQJToXAQgCCOAfGgYIDbRug8X+6rtKVgwIMVQfEgwDBgkc/rqPHQFMdXtmiZtvYnP+EiEMBwQCGFhpBTc1JRUKEAYlEAUCBIkMDCH9uxsXGQ19+qTF/twdBBsW0YtXBwICCxIXGAIGBgLLb7WLnNBiAAAAAAMAEv3jA88EzwBAAEgAUACLALIfAQArsQIiMzOxHAfpsgknPjIyMrAxL7Q2CgAXBCuwSC+wTzO0RAoAEQQrsEsyAbBRL7BC1rRGDwAZBCuwRhCxSgErtE4PABkEK7FSASuxRkIRErcJBA8sMTY3DCQXObBKEbQQESsHOiQXObBOErMUHioZJBc5ALEcNhESsREsOTmwHxGwPzkwMRM2FxYlMhcWBgcOARUUFxYTFjc2NRM2NzY1NCYnLgE3MzYXMhcWBiMOAQcDBgcGBwYjIiY1NDc+AT8BAS4BJy4BNjQ2MhYUBiIkNDYyFhQGIhIGIyMBOiEFBAgIQigWGaQGFgR7FAsSM0oKAhMQsHcjBAIIBj9NPf5IDh8rIT0nOWY/VSQd/vo5MkkGCbdJZ0dHZwEjSGZKSmYDSBcFAgYQDiECAhkZFzAz/mgOIwQCATkzITcdJyECBjMCCggSDB8IYaL9VLgjSjMrOCQ/GhBxeF8CaoU4BgIc5mZISGZISGZISGZIAAACAHv/5wfyBVAAXgBsAMcAsiwBACuyAQEAK7JWAAArsUQJ6bJcAAArsWIE6bIMAgArsR8J6bIFAgArsWoG6bIfDAorswAfFwkrtCU8XCwNK7ElCemyPCUKK7NAPDYJKwGwbS+wANaxXwvpsF8QsWcBK7FAC+mwIjKwQBCxOAErsCoytDMMAB4EK7AzELFMASu0UQwAHgQrsW4BK7FnXxESsgcFXDk5ObBAEbEJWTk5sTM4ERKwHDmwTBGyDxFWOTk5ALE8RBESsU5POTmwJRGxAF85OTAxEzQSNzYzMhcWMzI2MyEyFhcWBxQjIgYiLgEvAS4BIyEiBhURFDsBMjc2NzYXMzIXFBUWAxQrASInLgEjISIGFREUFjMhMjY3Njc+AzsBMgcUBw4BIyIkIyIEIyAAExAAMzI3PgE1ETQhIgB7z7CNz0yXaA0GQicCTRcQAhABEwYQBgkGAgobM1T+mgodO/JoGxcMBBAdDgIEBBAdEAQIOFT+5hAVJw4BK3dOISsYAgICCQoWEwIdBB0hff4lekb+60P+4/510QEp13NNNR/+2+n++gKRzQFWVkYIBgINGKhUGQICCgspZjESDP4/GRkZXhcBEAQCbf7+LR9YMRYN/h8KGRUnN1wGDgcEITvPGwwCEwGOAUX+7v6LPCl9ugJF8v7JAAAAAwBi/90F+gNzAC0AOQBFAJgAsgMBACuwCTOxNwbpsEQysisAACuwJTOxMQTpsisAACu0FgoAIwQrsjErCiuzQDEbCSu0PhErAw0rsT4D6QGwRi+wANaxLgvpsC4QsTQBK7ETDemwOjKyEzQKK7NAEw4JK7FHASuxNC4RErErAzk5sBMRswUHJykkFzkAsT4rERK0DQAoLjQkFzmwNxG0BQcLDAYkFzkwMRM0ADMyFxY3NjMyFxYXFRQjISIHFBYzMjc+ATIeAhcWBwYHBgciJyYHBiMiADcUEjMyNjU0JiMiBiUUHgEzITInLgEjImIBDcK4aRAXeabdTBkgG/4TOQGkcVqTBAsGCAQIAg4SSmRiYo9dDAp3wcf+9LW6d2RznHdmjwKuDhYLAQ4fBAhdQY8BrL4BCX8SFnvHOx8fFB+0+pMEBQcECgIOFVJFPwGFDAyFAQr4sP76rJ7F87wGBgsEHVJoAAAAAwAh//gF1waYAEcATwBXAMMAsjQAACuxLgTpsTs+MjKyHAIAK7AEM7EZA+myCiJGMjIysE8vsFYztEsKABEEK7BSMgGwWC+wQNawQjKxKwvpsitACiuzQCszCSuzTStACCu0SQ8AGQQrsEkvtE0PABkEK7NRK0AIK7RVDwAZBCuwKxCxFQErtCAPAAwEK7FZASuxK0kRErcGCAw1OEFSVyQXObBVEbQZHBpTViQXObAVErEwNDk5sCARsR0iOTkAsRkuERKyDBA8OTk5sBwRsCA5MDETJjc2FwQ3MhYGIyIVFBcBFjY3EzY1NCYrASY2MxYlMhUUJwYHBgcBHAIVFBYXMjYXFhQjJAciJjc2NzYWMzY3NicBLgEnIiQ0NjIWFAYiJDQ2MhYUBiIhBAQEEgGLnAgTCheBQgESCCUK20IvRhQSAxWyARcSEmhCH0z+0TNACDEKGRn+aqcQDQYIIwoqBG0FCgj+ikhgXxkBoUlnR0dnASNIZkhIZgT+DBEZAQYGIR4pGWb+WgoSEwFybRwfFwg5BgYfIwEGRCF//f4tfYMOO0IIAgQGRgYEKxAUAQIEBn2aiQJJcUQE+WdISGdHR2dISGdHAAAAAAEARgPJAoEFMAASABYAAbATL7AA1rQJDwAIBCuxFAErADAxGwE2Nz4BFxYXExYHBi8BBwYnJka2CBMMcxQXDLQGCBQV9ukZFAgD2QFADAgCAgICEv7IEAoQFNXVFxMIAAEAHQO2ArAE5QAeAFkAsBIvtAYKAB0EK7MWBhIIK7QCCgAdBCsBsB8vsADWtBwMAB4EK7AcELEJASu0DQwAHgQrsSABK7EJHBESsQISOTkAsRYSERKwGTmxAgYRErIJDQ85OTkwMRMSMzIXFjMyNjc0MzYVFhUUBiMiJyYnIgYHFAYHDgEdDLxSd1InIyMMGhkEc1hSdFQlHyEMBAIGLQPHARRSNzdQDAQQDQ5vjk87ASk3BBcKDgUAAAAAAQBaAZgDKwImABEAABM1NDYzFiQXMhYVBwYHJgQnIlobDEQB13IKEwQGHZ7+cWgOAbBSEBMCBgQXClAZAwQGAgAAAAABAFoBmAMrAiYAEQAAEzU0NjMWJBcyFhUHBgcmBCciWhsMRAHXcgoTBAYdnv5xaA4BsFIQEwIGBBcKUBkDBAYCAAAAAAEAWgGYAysCJgARAAATNTQ2MxYkFzIWFQcGByYEJyJaGwxEAddyChMEBh2e/nFoDgGwUhATAgYEFwpQGQMEBgIAAAAAAQBOAbIEmAIrAA8AIACwDS+0AwoAIgQrsAUytAMKACIEKwGwEC+xEQErADAxEzc2NyQFMhYdAQYHJAUiJk4CBBQBeQKaDBECH/3D/igGDgHNRxIFDAwSCUsSAQYGEwAAAQCqAZwGHQIXABMALQCwDi+0AwoAIgQrsAUytAMKACIEK7AGMgGwFC+xFQErALEDDhESsQoROTkwMRM0NjMkBRYXFgYVBickBQYmNzQmqhcWAqgCeSECCAwMEf0X/b4MFwIGAfAMGwwMCwwCRgYZAwoKAg4OCCEAAQCNA54BpAWPABYAOgCyFAEAK7QOCgATBCuwCzIBsBcvsADWsQkM6bIJAAors0AJEQkrsAUysRgBKwCxDhQRErEACjk5MDETNDY3NhYUBwYXFDcyNjMyFhUUBiMiJo2FbwwXEZgBFAYdCCs6RDFEWgRYZKopBBQdDlZvHwEKQCsxQWwAAQCRA6QBpAWNABYAMgCwFC+0AwoAEwQrAbAXL7AP1rEGDOmyDwYKK7MADwAJK7EYASsAsQMUERKxBhE5OTAxEzQ2MzIWFRQGBwYnJjc2JzQmBwYjIiaRRjFEWHlgIQwdHZoBCA4dECs4BRsxQWZOXKgvEA4hElppEBICCDwAAAABAIn+0wGHAKYAGAA4ALIWAAArsBEztAMKABQEK7IGAAArAbAZL7AP1rQGDABRBCuyDwYKK7MADwAJK7ALMrEaASsAMDE3NDYzMhYVFAYHBicmNzY1NAcjIgYHIyImiUIvPVB7ZA4JBAmPDgcEFAQPJzU7LT5iSl6iJwYaHwJYYx0BBAI5AAAAAgCkA54DhQWJABkAMABgALIXAQArsC4ztAwKABQEK7IRJSgyMjIBsDEvsADWsQkM6bIJAAorswAJFAkrsAkQsRoBK7EjDOmyIxoKK7MAIysJK7EyASuxGgkRErAGOQCxDBcRErQAFBokKyQXOTAxEzQ2NzYXFgcGFRQ/ATIzNzYzMhYVFAYjIiYlNDY3NhcWBwYVFDcyNjMyFhUUBiMiJqR/ZhsKFBaaFQQEAgoQCys3RTFEWgHNf2YdDBIYmhUGIQgrN0YxRFkEUGCsLQoSIwpaax8BAgIEPisxQWZMYKwtChAhDlZvHwEIPisxQWYAAgCeA6QDgQWNABcAMgBhALAVL7MRHyEkJBcztAMKABMEK7AqMgGwMy+wD9axBgzpsg8GCiuzAA8ACSuwBhCxHAErsS0M6bIcLQorswAcJwkrsBgysTQBK7EcBhESsBo5ALEDFRESswYQHi0kFzkwMRM0NjMyFhUUBgcGJyY3NjU0ByIHBiMiJgAmNzYnNCYHIgciBiMiJjU0NjMyFhUUBgcGJ55FNERZfWQhDBcZnhEGEhQJKTkBywENngEKCggCBBsIKTpGM0Rae2QlCgUbMUFmTlyqLwoOHxBUbyMBBgQ8/sIfCFRvFA4CAgY8LTFBZk5crC0QEAACAJP+0wNKAKYAFwAwAFsAshUAACuxKS4zM7QDCgAUBCuwGzKyBgAAK7IeAAArAbAxL7AO1rQGDABRBCuyDgYKK7MADgAJK7AGELEnASu0HgwAUQQrsiceCiuzACcYCSuwIzKxMgErADAxNzQ2MzIWFRQGBwYmNzY1NAciBiMGIyImJTQ2MzIWFRQGBwYmNDc2NTQHKwEHBiMiJpNELz9TfWcOGROTEAQPBBAKJzgBs0MvP1N9ZwgQBJMOAgYREAonNzstPmJKXqApBDEIWGMdAQIEOSktPmJKXqInBBgbBlZlHQECBDkAAQBxAY8CjQOwAAgALgCwBy+0AwoACAQrtAMKAAgEKwGwCS+wANa0BQ8ACAQrtAUPAAgEK7EKASsAMDETNDYyFhQGIiZxm+Kfn+KbAqBxn6DhoJ4AAwEC/90HfwDDAAoAFQAfAE4AsgkAACuxEx0zM7QDCgASBCuxDhkyMrIJAAArtAMKABIEKwGwIC+wANa0Bg8AGQQrsAYQsQsBK7ERD+mwERCxFgErsRwP6bEhASsAMDElNDYzMhYVFAYiJiU0NjMyFhQGIyImJTQ2MzIWFAYiJgECRjc1RERqSALJQzg1Q0E1N0YCwEQ3NURCakhWMTxAMzFCRiszQEBmPkA5MzpAZkBIAAAAAgAo//YG4gXEAIQAmAElALKBAAArs0ZIY4MkFzOxfQbptQJBQ05daSQXMrKUAgArsR8K6bIvAgArsSUK6bIvJQorswAvKgkrsiACACu0OFSBLw0rsVZyMzOxOArpsYeJMjKwCyDWEbEUBukBsJkvsAbWsBgysXgN6bCXMrIGeAors0AGDwkrsHgQsW8BK7COMrFaDemwNDKyWm8KK7NAWmEJK7JvWgors0BvZwkrsFoQsVEBK7E+DemwJzKyUT4KK7NAUUoJK7GaASuxeAYRErIWgoU5OTmwbxGyZX+BOTk5sFoSsyBki5EkFzmwURG0ISMtSGMkFzmwPhKxLDo5OQCxC30RErE+Qjk5sBQRslVzdDk5ObE4VBESsw4WPYgkFzmwlBGyNjuROTk5sB8SsCM5MDE+ATczMjY1ETQmKwEiJyY0NzY3NjM2NzY3Njc2Nz4BFhcWNz4BFhcWFAYjIicuASMiBgcGBxQXFiU2NzYWFREUFjM2FxYGByYHIic0PgEXMjY1ETQnJgcOAQcDFBY7ATIWFRQjJgciNTQ3MzI+AjURJicmIAcGBxEeATMyFx4BBiMkByIBFBcWNz4CNDU2NzYnJgciBgcGIwoSF1AzGwhYJQQEBAYPAgJeLwYGDAsfe0jG40wpK0yywEYfUBcUHTFSPVSUFA4BGVoBH1JgEBUpPxANDAIKwfUOAQUODlglfcdYDhgCAyVaKRcKDPb2EBARLyUeBQwVSP76LR0EAjFKMwoMBwoJ/tPZCgFWG+WgEA8CBjEKK1J7VJUTDhQjBDJPAfAMGQ4KHwYEBwISH1I7UB1YbkJWAkAtHTdACzkbLUscKx99VkayMQIMDAIhBiUS/WhOJwQEAkEEBgYhEA4LAzyTATyaAQYEAhoK/k2DTBAWIQQGHiEGBC5LUgGcMwIEBgQp/gREKgMEJx4KCgOFKQIKCgIYGy0GmlgXK0oBe1Y7AAADADD/9gauBdcAfACQAJ0A5QCyVAAAK7I3enwzMzOxTwPptAMuQVt0JBcyspoCACuxIwnpsowCACuxHgrpsCYysiACACu0f2p6Hg0rskdJZjMzM7F/CumxgZQyMrANINYRsRMG6QGwni+wCdaxbg3psH0ysG4QsWIBK7FMDemwkTKwTBCxRAErsJcysSsN6bGfASuxbgkRErIVFns5OTmwYhG1HVZYeHqDJBc5sEwSsh4fhzk5ObBEEbQgIzxTVSQXObArErAmOQCxDU8RErMrS1xeJBc5sBMRskhlaDk5ObF/ahESsRWAOTmwjBGyh5OYOTk5MDEWJjY3NhYzPgE1ETQrASInJjc2NzY3Njc2NzY3PgEyFxY3NjMyFjMyNzYXERQWFzI2HgEXFgcGJyIjISImNz4BFjM+ATUTNCMkBwYHERQWMzYXHgEjJgUiJjc+ARY3Njc+ATURNCYnKgIjIgYHERQWFx4BMzYXHgEGIyQHARQXFjcyNjc2NzYnJicmByIGBwYFFBYXITI1ESYjIgcGNQoKEwYvBjsjGmElBgYIAhVcMQYHBhAfe0rA20wlEm+PF1YUNyc9ARo6AhgNEAIICAQOBgP+VAwIBgQjLwYxFwIl/vpkCg8xTAoMEAERgf7LCgoEBBITCDUTDgYOGyl7mR0QDwQGDQwpNx0fDAYKCP74/wFMF2/tHRYCCzkQFgYVTnJUlhIOAksVHgFGLXNcTDlQChwhBAQCAjRNAfQhDiUKAgsQIVI7NThYbkJUQCMRYAoxFyX66UwpAgICCAgTFA4CKQwKBAIGSIcBojMKCgIv/gBMLwQEAj0EBCUMCggEAgQZEjpsAY4nFAIOGf5abTUSFA0GBgQhHAoKA30lAgQEDBujeyUZCBVKAXtWO6oXEAIpAYVOTm0AAAAAAQAI/9sDlgUfAEwAowCyRwAAK7E4BOmwSy+wNDOxAwjpsC4ysAgvsCozsQ0J6bAkMrAiL7ERBukBsE0vsAXWsQ5KMjK0LA0ALgQrsSQ1MjKyLAUKK7NALCgJK7AxMrIFLAors0AFCgkrsAAysCwQsR8BK7QbDAAvBCuxTgErsR8sERK0FRE4REckFzmwGxGzFjw9QiQXOQCxSzgRErE9Pjk5sSINERKyFBsdOTk5MDETNTQ7ATU0NyMiPQE0OwE2EjMyFxY3PgEWFRYVFAYmJy4BIyIDITIHFRQnIRUUFyEyHQEUIyEeATMyNzY3NhcyBwYHJiMiBiMiAicjIggXeQJvGRd7I+eYWmAjEAwhFwgjIwIbfFTdHwF1FwEY/okCAWoXGf6eFIhqZkwUKAItIQIdLRATJ389mvAcfxkB+i8UMkQeGDIU7gECOhQQDAcLCpyNDA4CCJGe/loUMhkBNz8eFC8Z2eF7JXgQARGujQQrARXxAAAAAAIAIgI1CBkFnABBAKcBJQCyPQIAK7AXM7EGCOmyCFVfMjIyskwCACuwZzOyPQYKK7NAPUAJK7ATMrAsL7J5jqEzMzOxMgfptCBFcoOWJBcyAbCoL7AB1rRADAAeBCuwQBCxNwErsR0L6bI3HQors0A3LwkrsB0QsRQBK7QPDAAeBCuwDxCxSAErtJMMAEAEK7KTSAors0CTmwkrsVmeMjKySJMKK7NASEMJK7BPMrCTELGIASuxbQvpsm2ICiuzQG1kCSuwdjKyiG0KK7NAiIAJK7GpASuxN0ARErEGLDk5sB0RsQcrOTmwFBKyCCUqOTk5sA8RsAk5sEgSsVWlOTmxiJMRErNWW3yhJBc5ALEyLBESsSOeOTmwPRG2DFpdb4uQkSQXObEGTBESsgcLWTk5OTAxEiY/AT4BMwQlNhYfARQWFRQHBisBLgErASIHBhURFBYXMzIVFh0BBhUGJyYHIiY9ATY3Mjc+ATURNCcmKwEiBgcjATU0Mz4BNRE0JiciLwE0PQE0NjMWNzIXExYXFjcBITIXFhcUBiMGIw4BFREUFhcWMzIXFhUUBiMiJiIHBiY9ATQ7Aj4BNREmJwYHASMBJgcRFBY7ATIXFhUUBhUUByMmIyYHBiIlBgQSAhEYAUQBbB8VAhACAgIXHgxQYyEQBAwcOgwGBgQEH4+8HwwCCAgGNxkMBBEjXFAOIwNSHTsdGzsXBgIKEclDFwj6CgYGBAECAQsXBwoBCQYEDjUdGzkICgYCBQ0UG56DJiERCQgWNx8CBAQC/t8x/uMMAh83HwwCBAIIDgwLukYKHQSyDyCYFwwICAIPHpgEDgIKAwZWPgQEIf3XTC0EAgIfDggBBgIGBgkWEAoDAggnTAItIQQCPlb9khYbAi1OAedWKwIIBAQDEhIJBgQT/fQSAwQLAi8EBhUXCAICL1D+GU4rBAICBBsQCwICAgsWFQoEL0gBtA4CBAb9jQJpBh3+aVQrAgQFAgwEIQIEBAQCAAAAAAEAAAAAA1IDUgADAC4AsAAvtAEKAAcEK7QBCgAHBCsBsAQvsADWtAMPAAcEK7QDDwAHBCuxBQErADAxMREhEQNSA1L8rgAAAAEAUv/4BBwFuABdAIgAslwAACuwODOxAgfpsjRCVTIyMrBNL7EoCOmwIi+xFwTpsiIXCiuzACIdCSsBsF4vsAbWsBIysVEN6bAkMrBRELFHASuxMQ3psV8BK7FRBhESsFo5sEcRtSAXPUFWWCQXObAxErMfLC0dJBc5ALFNAhESsAo5sCgRsA85sCISshItLjk5OTAxNyY/AT4BNRE0LwEuATc+ATc2NTQ3PgEzMhYVFAYjIicuASMiERQeATMWNzY3NhcGFREUFh8BFgYHJisBIgYuAScmNzYzPgE1ETQmJyYHDgEVERQWHwEWBgcmIyIHIlIMGC81FSlGDAYMBkASHUAryJpomDocJRIpZy3lAhgbdV6aVicKCBY1KxABET2FrAIRBAgCDDUGBDUXIUN7exkSFjNCEgYQf1pcVhkIHwwGCDZwAao1AwYGIQgGFQoOG8OVZq5gQSsrHkZB/hchFh0EBAQSDBCTbf6scTQJBgIxCAQCAgYIKQQCCDZwAWNaKQIEBAIXJf5WcTkEBgI1BAYGAAAAAAIAMf/6BDgF3wBUAGYAmgCyWgEAK7FCCumxDEAyMrBCELETA+myFgEAK7JTAAArsSwvMzOxBAPpsiU1SDIyMrJjAgArsRoJ6QGwZy+wCdawFjKxRQ3psFUysEUQsT0BK7BgMrEiDemxaAErsUUJERKxF1E5ObA9EbMvM0xNJBc5sCISsR0uOTkAsUIEERKwSjmxWlMRErEuQTk5sGMRsBc5sBoSsB05MDE3Jjc2MzY3PgE1ETQnIyInJjc2PwE2NRI3NhcyFjMyNzYXERQWMzYXHgEHBisBJgcjIicmNjczMj4ENRE0ByQHIgcRFBYzNhceAQcrASImIgcGARQeAjMWMjYzMjcRJiMiBwYxCgoEGUgSDgYgXwYEBAQEDWoOEo6JqBdWFDcoNwYfSQoRCAYEAgwIydsIDgUGCA0QJyEnCgwCJ/7pURIFMUwMCQ4EDgYGG7CeNRQBKAgHFAI5hIUWIwZzXEw5UgQUFwoGGRI8agGuIQQREgoQAS0KDgEfmpoBCjEUFvrXUikEBAIjDgwICAwOIwICDxQ6PTsBtSMBBggW/eVMLwQEAjsCBAQEA3cICQICAgItAYFOTnMAAAACACj/9gbiBcQAhACYASUAsoEAACuzRkhjgyQXM7F9Bum1AkFDTl1pJBcyspQCACuxHwrpsi8CACuxJQrpsi8lCiuzAC8qCSuyIAIAK7Q4VIEvDSuxVnIzM7E4Cumxh4kyMrALINYRsRQG6QGwmS+wBtawGDKxeA3psJcysgZ4CiuzQAYPCSuweBCxbwErsI4ysVoN6bA0MrJabwors0BaYQkrsm9aCiuzQG9nCSuwWhCxUQErsT4N6bAnMrJRPgors0BRSgkrsZoBK7F4BhESshaChTk5ObBvEbJlf4E5OTmwWhKzIGSLkSQXObBREbQhIy1IYyQXObA+ErEsOjk5ALELfRESsT5COTmwFBGyVXN0OTk5sThUERKzDhY9iCQXObCUEbI2O5E5OTmwHxKwIzkwMT4BNzMyNjURNCYrASInJjQ3Njc2MzY3Njc2NzY3PgEWFxY3PgEWFxYUBiMiJy4BIyIGBwYHFBcWJTY3NhYVERQWMzYXFgYHJgciJzQ+ARcyNjURNCcmBw4BBwMUFjsBMhYVFCMmByI1NDczMj4CNREmJyYgBwYHER4BMzIXHgEGIyQHIgEUFxY3PgI0NTY3NicmByIGBwYjChIXUDMbCFglBAQEBg8CAl4vBgYMCx97SMbjTCkrTLLARh9QFxQdMVI9VJQUDgEZWgEfUmAQFSk/EA0MAgrB9Q4BBQ4OWCV9x1gOGAIDJVopFwoM9vYQEBEvJR4FDBVI/votHQQCMUozCgwHCgn+09kKAVYb5aAQDwIGMQor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format("truetype");
font-weight: normal;
font-style: normal;
}
body { font-family: et-book, Palatino, "Palatino Linotype", "Palatino LT STD", "Book Antiqua", Georgia, serif; }
.numeral, .sidenote-number { font-family: et-book-roman-old-style; }
</style>
<style type="text/css">body {
background-color: #fffff8;
}
</style>
<style type="text/css">h1, h2, h3.subtitle { font-style: italic; }
</style>
<style type="text/css">
@charset "UTF-8";
html { font-size: 15px; }
body { width: 87.5%;
margin-left: auto;
margin-right: auto;
padding-left: 12.5%;
color: #111;
max-width: 1400px;
counter-reset: sidenote-counter; }
h1.title { font-weight: 400;
font-style: normal;
margin-top: 4rem;
margin-bottom: 1.5rem;
font-size: 3.2rem;
line-height: 1; }
h1 {
font-weight: 400;
margin-top: 2.1rem;
margin-bottom: 0;
font-size: 2.2rem;
line-height: 1; }
h2 {
font-weight: 400;
font-size: 1.7rem;
margin-top: 2rem;
margin-bottom: 0;
line-height: 1; }
h3.subtitle {
font-weight: 400;
margin-top: 1rem;
margin-bottom: 1rem;
font-size: 1.8rem;
display: block;
line-height: 1; }
h4.author, h4.date {
font-size: 1.4rem;
font-weight: 400;
margin: 1rem auto;
line-height: 1;
}
.danger { color: red; }
article { position: relative;
padding: 5rem 0rem; }
section { padding-top: 1rem;
padding-bottom: 1rem; }
p, ol, ul { font-size: 1.4rem; }
p { line-height: 2rem;
margin-top: 1.4rem;
margin-bottom: 1.4rem;
padding-right: 0;
vertical-align: baseline; }
blockquote { font-size: 1.4rem; }
blockquote p { width: 50%; }
blockquote footer { width: 50%;
font-size: 1.1rem;
text-align: right; }
ol, ul { width: 45%;
-webkit-padding-start: 5%;
-webkit-padding-end: 5%; }
li { padding: 0.5rem 0; }
table {
border-top: 2px solid #111;
border-bottom: 2px solid #111;
font-size: 1.1rem;
}
th {
border-bottom: 1px solid #111;
}
div.figure {
padding: 0;
border: 0;
font-size: 100%;
font: inherit;
vertical-align: baseline;
max-width: 55%;
-webkit-margin-start: 0;
-webkit-margin-end: 0;
margin: 0 0 3em 0;
}
a:link, a:visited { color: inherit; }
a:link { text-decoration: none;
background: -webkit-linear-gradient(#fffff8, #fffff8), -webkit-linear-gradient(#fffff8, #fffff8), -webkit-linear-gradient(#333, #333);
background: linear-gradient(#fffff8, #fffff8), linear-gradient(#fffff8, #fffff8), linear-gradient(#333, #333);
-webkit-background-size: 0.05em 1px, 0.05em 1px, 1px 1px;
-moz-background-size: 0.05em 1px, 0.05em 1px, 1px 1px;
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<h1 class="title toc-ignore">Generalized Linear Mixed Models</h1>
<h3 class="subtitle"><em>An Introduction</em></h3>
<h4 class="author"><em>Joshua F. Wiley</em></h4>
<h4 class="date"><em>2019-04-15</em></h4>
<pre class="r"><code>options(digits = 2)
library(data.table)
library(lme4)
library(ggplot2)
library(visreg)
## read in the dataset
d <- readRDS("aces_daily_sim_processed.RDS")</code></pre>
<div id="the-generalized-linear-model" class="section level1">
<h1>The Generalized Linear Model</h1>
<p>We have already seen the linear model<label for="tufte-sn-1" class="margin-toggle sidenote-number">1</label><input type="checkbox" id="tufte-sn-1" class="margin-toggle"><span class="sidenote"><span class="sidenote-number">1</span> For example, t-tests, Analysis of Variance, Pearson correlations, and Linear Regression are all cases of linear models</span></p>
<ul>
<li><span class="math inline">\(y = b_0 + b_1 * x_1 + ... + b_k * x_k + e\)</span></li>
</ul>
<p>The linear model is a <em>special case</em> of the <strong>generalized linear model</strong> or <strong>GLM</strong></p>
<p>The GLM extends the linear model to different types of outcomes<label for="tufte-sn-2" class="margin-toggle sidenote-number">2</label><input type="checkbox" id="tufte-sn-2" class="margin-toggle"><span class="sidenote"><span class="sidenote-number">2</span> The probit model is also used for binary variables. Unlike normally distributed outcomes, count outcomes take on integer values (0, 1, 2, <em>not</em> 0.5 or 1.5) and counts cannot be negative.</span></p>
<ul>
<li><p>binary 0/1 variables (logistic regression)</p></li>
<li><p>count variables (poisson regression)</p></li>
<li><p>Many other types of variables</p></li>
</ul>
<p>This lecture focuses on <em>logistic mixed effects models</em> for binary variables</p>
<hr />
<div id="notation-and-some-theory" class="section level2">
<h2>Notation and some Theory</h2>
<p>We already learned about linear regression</p>
<ul>
<li><span class="math inline">\(y = b_0 + b_1 * x_1 + ... + b_k * x_k + e\)</span></li>
</ul>
<p>First, we simplify the notation a bit</p>
<ul>
<li><span class="math inline">\(\eta = b_0 + b_1 * x_1 + ... + b_k * x_k\)</span></li>
<li><span class="math inline">\(y = \eta + e\)</span></li>
</ul>
<p>For linear regression, we assumed a <em>normal</em> distribution</p>
<p>The normal distribution has two parameters<label for="tufte-sn-3" class="margin-toggle sidenote-number">3</label><input type="checkbox" id="tufte-sn-3" class="margin-toggle"><span class="sidenote"><span class="sidenote-number">3</span> Note the mean sometimes called the <em>location</em> because it controls the location of the center of the distribution and the standard deviation is sometimes called the <em>scale</em> because it controls the scale or spread of the distribution</span></p>
<ul>
<li><p>mean (<span class="math inline">\(\mu\)</span>)</p></li>
<li><p>standard deviation (<span class="math inline">\(\sigma\)</span>)</p></li>
<li><p>Normal distribution can be written: <span class="math inline">\(N(\mu, \sigma)\)</span></p></li>
</ul>
<p>In linear regression, what we are really assuming is that</p>
<ul>
<li><span class="math inline">\(y \sim N(\eta, \sigma)\)</span></li>
</ul>
<p>Which is read, “Y is distributed as a normal distribution with mean equal to <span class="math inline">\(\eta\)</span> and standard deviation <span class="math inline">\(\sigma\)</span>”.</p>
<p><span class="math inline">\(\sigma\)</span> is typically estimated as standard deviation of the residuals, <span class="math inline">\(e\)</span>.</p>
<hr />
<p>Any GLM has to be a linear model at some level, that is, this is always true:</p>
<ul>
<li><span class="math inline">\(\eta = b_0 + b_1 * x_1 + ... + b_k * x_k\)</span></li>
</ul>
<p>The GLM generalizes linear regression by defining a <em>function</em> that links or transforms <span class="math inline">\(\eta\)</span> to the outcome</p>
<p>The link function is always called <span class="math inline">\(g()\)</span>. Likewise an inverse link function exists that simple “undoes” whatever the link function did. This is called <span class="math inline">\(g()^{-1}\)</span>.</p>
<p>In normal linear regression, the link function and inverse link function are just the identity function, that is <em>there is no transformation</em></p>
<p>For many other types of regression, including <em>logistic regression</em> the link and inverse link functions do some transformation.</p>
<p>In terms of formulae, we define the expected value of <span class="math inline">\(y\)</span>, its mean, as <span class="math inline">\(\mu\)</span></p>
<ul>
<li><span class="math inline">\(E(y) = \mu =\)</span> mean of <span class="math inline">\(y\)</span></li>
</ul>
<p>Then</p>
<ul>
<li><span class="math inline">\(\eta = g(\mu)\)</span></li>
<li><span class="math inline">\(\mu = g^{-1}(\eta)\)</span></li>
</ul>
<p>For normal linear regression because the link and inverse link functions are the identity function this works out to be</p>
<ul>
<li><span class="math inline">\(\eta = g(\mu) = \mu\)</span></li>
<li><span class="math inline">\(\mu = g^{-1}(\eta) = \eta\)</span></li>
</ul>
<p>The powerful concept of the GLM is that by using link functions, the linear model</p>
<ul>
<li><span class="math inline">\(\eta = b_0 + b_1 * x_1 + ... + b_k * x_k\)</span></li>
</ul>
<p>always stays the same whether the outcome is continuous and normally distributed or binary and not normally distributed or count or any other type of variable and assumed distribution</p>
<p>This means in some sense, all GLMs are interpretted like linear regression, so in a way you already know logistic regression!</p>
<p>Next, we explore the link functions for logistic regression that make the transformation from a linear scale to a binary scale.</p>
<hr />
</div>
<div id="logistic-regression" class="section level2">
<h2>Logistic Regression</h2>
<p>Logistic regression is regression when the outcome only takes on two values: 0 or 1.</p>
<p>Logistic regression is useful for many questions</p>
<ul>
<li>What predicts whether someone will have major depression or not?</li>
<li>Does one treatment have a higher probability of patients <em>remitting</em> from major depression than another treatment?</li>
</ul>
<hr />
<p>Linear regression will not work for binary outcomes for two reasons:</p>
<ul>
<li>First, when an outcome can only be 0 or 1, a straight line is a very bad fit
<ul>
<li>straight lines could predict a value of 1.4 or 2 or -0.3 when those values are not possible</li>
</ul></li>
<li>Second, there is no way that a binary variable or its residuals will follow a normal distribution: the normality assumption would be violated</li>
</ul>
<p>The GLM solves each of these problems separately</p>
<ul>
<li>Link functions transform the linear predicted value <span class="math inline">\(\eta\)</span> so that it never goes below 0 and never goes about 1</li>
<li>Rather than assume a normal distribution, the GLM uses a new distribution, the Bernoulli distribution
<ul>
<li>Whereas the Normal distribution had two parameters, mean and standard deviation, the Bernoulli distribution only has one: the probability that an event will occur</li>
</ul></li>
</ul>
<hr />
<p>For logistic regression, the link function is defined as:</p>
<ul>
<li><span class="math inline">\(\eta = g(\mu) = ln\left(\frac{\mu}{1 - \mu}\right)\)</span></li>
</ul>
<p>That is called the <em>logit</em> function.</p>
<p>Here <span class="math inline">\(\mu\)</span> is the probability that the outcome will be 1. Probabilities range from 0 to 1: an outcome cannot happen less than never (probability of 0) or more than always (probability of 1).</p>
<p>Graphing <span class="math inline">\(\mu\)</span> against <span class="math inline">\(\mu\)</span> we get</p>
<pre class="r"><code>tmp <- data.frame(mu = seq(from = .01, to = .99, by = .01))
ggplot(tmp, aes(mu, mu)) +
geom_point()</code></pre>
<div class="figure">
<p class="caption marginnote shownote">
Figure 1. Probabilities against Probabilities
</p>
<img 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" alt="Figure 1. Probabilities against Probabilities" width="576" />
</div>
<p>The first part of the <em>logit</em> function:</p>
<ul>
<li><span class="math inline">\(\frac{\mu}{1 - \mu}\)</span></li>
</ul>
<p>unbounds <span class="math inline">\(\mu\)</span> on the right side, so that as it goes to 1, transformed, it goes to infinity, shown graphically below</p>
<pre class="r"><code>ggplot(tmp, aes(mu, mu/(1 - mu))) +
geom_point()</code></pre>
<div class="figure">
<p class="caption marginnote shownote">
Figure 2. Probabilities against right unbounded probabilities
</p>
<img 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" alt="Figure 2. Probabilities against right unbounded probabilities" width="576" />
</div>
<p>The next part, the natural logarithm, unbounds it on the left side because the log of 0 is negative infinity</p>
<ul>
<li><span class="math inline">\(ln\left(\frac{\mu}{1 - \mu}\right)\)</span></li>
</ul>
<p>Combined, the graph below shows the raw <span class="math inline">\(\mu\)</span> values against the transformed values.</p>
<pre class="r"><code>ggplot(tmp, aes(mu, log(mu/(1 - mu)))) +
geom_point()</code></pre>
<div class="figure">
<p class="caption marginnote shownote">
Figure 3. Probabilities against unbounded probabilities (logit scale)
</p>
<img 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" alt="Figure 3. Probabilities against unbounded probabilities (logit scale)" width="576" />
</div>
<p>In this way, the link function for logistic regression takes the probability of the event occuring, which can only fall between 0 and 1, and transforms it to fall between negative infinity and positive infinity</p>
<p>Now we have a continuous and unbounded outcome we can apply a linear model to!</p>
<p>To go from predictions on the linear model back to the probability scale, we use the inverse link function:</p>
<ul>
<li><span class="math inline">\(\mu = g^{-1}(\eta) = \frac{1}{1 + e^{-\eta}}\)</span></li>
</ul>
<p>That is, suppose we had the linear predicted values, <span class="math inline">\(\eta\)</span> shown below graphically</p>
<pre class="r"><code>tmp2 <- data.frame(eta = seq(from = -5, to = 5, by = .1))
ggplot(tmp2, aes(eta, eta)) +
geom_point()</code></pre>
<div class="figure">
<p class="caption marginnote shownote">
Figure 4. Linear predictor against linear predictor
</p>
<img 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" alt="Figure 4. Linear predictor against linear predictor" width="576" />
</div>
<p>Using the inverse link function, we transform them to again fall between 0 and 1, like probabilities.</p>
<pre class="r"><code>ggplot(tmp2, aes(eta, 1/(1 + exp(-eta)))) +
geom_point()</code></pre>
<div class="figure">
<p class="caption marginnote shownote">
Figure 5. Linear predictor (logit scale) against probabilities
</p>
<img 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pgIyDIRRmhEVTARkC9VwURAlokwQiOqgskmtC9VwURAlokwQiOqgslleF+qgomALBNhhEZUBZMbEX2pCiYCskyEERpRFcyeoSvvnELTNVXBRECWiTBCI6qC2S90feZ1Ak03VAUTAVkmwgiNqApmr9DN3vP4m26pCiYCskyEERpRFcw+oYqr79sw0/R6BJSjKpg09QgC6oeJgCwTYYRGVAUTAflSFUwEZJkIIzSiKpgIyJeqYCIgy0QYoRFVwWQT2peqYCIgy0QYoRFVweQyvC9VwURAlokwQiOqgsmNiL5UBVMgoGd3zqfTt+4Vv7893eTlj2azp7eKjxFQDSZNfakKJk2T6zsLaC2Ywi97Anp8joAaMWnqS1UwaZpc31lAd6c37s0ubk9vPNz7wuPz67+Z//Jo+mr1N7oWs0mEERpRFcxeoPsXvsbb9ICqYPYuoMfny0Obp7eWtillfiD0zkpQ7yCgJkyaWubg0vtomx5SFczeBfRgfYDzYN8zD1bHRM9u75sJAeWZNDXM4c0/Y21aQVUwexfQ3el7y1/3z7Se3lp94emtG396dzr9yb2D73QtZpMIIzSiKpj+0IrbD0fatIqqYPYtoO0BzuPz3U2gzZHRZg967al5vrtOYxYhDVMISP0nIXViJ6DtntCj6fTth7O/3pluz8QQEOkrCChWOglo5zr7o81Vsc2R0OFetOuhnU0iHMQaURVMTsF8qQrmQE7Bnt0uTrn2jISAjjBpahg2oXtmDkRAe8dDlZ9xLWaTCCM0oiqYXIb3pSqYA7kKdnj34f4mNQJKMWlqGm5E7JUpuA/onZ1fN1pa/257LnaoJNdiNokwQiOqgklTX6qCOYw7oUt3H95diedwUwgBJZg0tUjyrcdG1zRNVTB7F9DcLK8cvBbs6a3ths/j88Vl+It3D18r5lrMJhFGaERVMB2h6Tc/HFvTDFXB7P/FqBelV8OvX3+6s+HzYP1i+INboV2L2STCCI2oCqYfNPP2qyNrmqMqmP0LaHZxZ+6Xtx7OSgLaueZ+8dPp9Prb+8c/CCjFpGnn5N4AelxNs1QFUyCgtnEtZpMIIzSiKpgIyJeqYCIgy0QYoRFVwURAvlQFEwFZJsIIjagKJgLypSqYCMgyEUZoRFUw2YT2pSqYCMgyEUZoRFUwuQzvS1UwEZBlIozQiKpgciOiL1XBRECWiTBCI6qCSVNfqoKJgCwTYYRGVAWTpr5UBRMBWSbCCI2oCiZNfakKJgKyTIQRGlEVTHtocuenRDWHHg8zTa9HQDmqgknT1klf+ypRraE1wkzT6xFQjqpg0rRtMnf/lKjG0Dphpun1CChHVTBp2jK5+59LVFtorTDT9HoElKMqmDRtGQS0R1UwEZBlIozQiKpgIiBfqoKJgCwTYYRGVAUTAflSFUwEZJkIIzSiKphsQvtSFUwEZJkIIzSiKphchvelKpgIyDIRRmhEVTC5EdGXqmAiIMtEGKERVcGkqS9VwURAlokwQiOqgklTX6qCiYAsE2GERlQFk6a+VAUTAVkmwgiNqAqmGbTG1k9BtYI2CDNNr0dAOaqCSdOmqXPxq6AaQZuEmabXI6AcVcGkacPUuv2noNpAG4WZptcjoBxVwaRps9S7AbqgmkCbhZmm1yOgHFXBpGmzIKAUVcFEQJaJMEIjqoKJgHypCiYCskyEERpRFUwE5EtVMBGQZSKM0IiqYLIJ7UtVMBGQZSKM0IiqYHIZ3peqYCIgy0QYoRFVweRGRF+qgomALBNhhEZUBZOmvlQFEwFZJsIIjagKJk19qQomArJMhBEaURVMmvpSFUwEZJkIIzSiKphdoU22fgpqR2ibMNP0egSUoyqYNK2ZRhe/Cmo3aKsw0/R6BJSjKpg0rZdmt/8U1E7QdmGm6fUIKEdVMGlaKw1vgC6oXaAtw0zT62sK6C8f/vLmzZv/8OHnCMibSdNaQUBHqQqmi4A+faOY9uTFf0dArkya1goCOkpVMB0E9PHZZDfP/QgBOTJpWisI6ChVwTQX0Cevz0d89c1/X517/eXPv3x+8ftfISA3Jk3rhU3oY1QF01hAl79d2OaL3c99PHfQS1/sL0VARkya1gyX4Y9QFUxbAT15f3K1astnflj07T8gIB8mTeuGGxHzVAXTWEA/SG33fPJfEZATk6a+VAWTpsn1WQG5xrWYTSKM0IiqYNLUl6pgIiDLRBihEVXBpKkvVcFEQJaJMEIjqoJJU1+qgsmd0JaJMEIjqoLZDtpq67lE7fC9rZnMNLm+joC4E7pPJk2zaXfxvURt/63tmcw0uf64gLgTul8mTXNpefthidr6O9uHmabXHxMQd0L3zaRpJm1fgFGitv3GDmGm6fV5AXEndP9MmmaCgBpQFUzuhLZMhBEaURVMBORLVTC5E9oyEUZoRFUwEZAvVcHkPiDLRBihEVXBZBPal6pgIiDLRBihEVXB5DK8L1XBRECWiTBCI6qCyY2IvlQF001Al5+t88l/67z7g4ByTJr6UhVMmibX1xLQNz8v3Yf4LQTkyqSpL1XBpGlyfR0BPXmtfCN09wvwCCjHpKkvVcGkaXJ9HQHdn0yufO+HZ4v/Ta7YvA4DASWZNPWlKpg0Ta6vIaDL9yff/mLx/z9euOjb3e+BRkA5Jk0r03HvuaBaPEhTJjNNrq8hoCevXfn1bOGe78///4OFhhCQI5OmVel69b2gGjxGYyYzTa6vJaDlvvNXk+9s/x8B+TFpWpHO9x8W1O4P0ZzJTJPrmwhocfb15DWrczDXYjaJMEIjqoJZH9r9FRgFtfMjtGAy0+T6GgK6fH95Cvb12cJDaxsR0mMKAan/JMQzifF+sNz9WW0FrTRkEVez2iTCf0OMqAomR0C+VAXT5TL812eTF3+/uAz2/YWMOAXzZdL0MAioDVXB9LkT+oPl/c9fTSZXzibLoyEE5MekaUXYhG5BVTCdXgv2H4sTr8sPljdCcx+QL5OmVeEyfHOqgun2YtT/+8XizVivXXvTyj8IKMGkaWW4EbExVcF0E5B9XIvZJMIIjagKJk19qQqmy2X4X/xdcdjz9Q//C5vQrkya+lIVTJom19cQ0M6tP3b3AbkWs0mEERpRFUya+lIVTHcBcR+QN5OmvlQFk6bJ9XkB7b4T0Pr9gDgFc2XS1JeqYNI0uT4voMW9P/vh1fC+TJqWY3Xxq6CaPlpNJjNNrj8ioMv/ffPm4q3Ibm7yD1U/qBABGTJpWorZ7T8F1fLB6jKZaXL9EQEt4vT6U9diNokwQiOqgnkcancDdEE1fKzaTGaaXF9DQDuX4RGQN5Om2xi+BKyg2j1UfSYzTa6vIaCNhz5HQH0waboNAupEVTC9BPTJG4vXoz75gd0rMRBQgknTbRBQJ6qC6SOgy98ungRzAb02uWq2HeRazCYRRmhEVTARkC9VwfQR0AeTydW/P/vWHy5/xqvh3Zk0LcImdBeqgukioK8mkx+tr4V9fMZ9QM5MmpbCZfgOVAXTRUDLt2RdX4y/z0/FcGbStBxuRGxPVTBdLsMv35R+LSBeC+bNpKkvVcGkaXJ9DQGt1LMWEK+G92bS1JeqYNI0uR4B5agKJk19qQomTZPrawho9VPhd348IQLyY9LUl6pg0jS5voaAVhvPKwHNZcQmtC+Tpr5UBZOmyfV1BPT12eSlL5YC+ub1yfKnpCIgPyZNHa59lahOj5tlMtPk+joCmh8CTSbXzq587/mJ3Y8FQ0AJJk0d7v4pUX0eNs9kpsn1tQQ0+4+zzT2pZv5BQAkmTR3ufy5RXR71CJOZJtfXE9DsL7+7Nn9GPPfi7838g4ASzJNv6vEKsBLV40GPMU9+pun1NQXkENdiNokwQiOqgomAfKkKJgKyTIQRGlEVTATkS1UwHQX05I0XTN+Z1bWYTSKM0IiqYCIgX6qC6Skg47eGdi1mkwgjNKIqmGxC+1IVTARkmQgjNKIqmFyG96UqmAjIMhFGaERVMLkR0ZeqYCIgy0QYoRFVwaSpL1XBRECWiTBCI6qCSVNfqoKJgCwTYYRGVAWTpr5UBRMBWSbCCI2oCiZNfakKJjciWibCCI2oCiZNfakKJgKyTIQRGlEVzAOo48WvguoNqGKe8EyPrc8K6PLfkvr4c+f3RXQtZpMIIzSiKpj7UM/bfwqq8+NXMk93pkfXZwX05LWr1S9//+b17vtBrsVsEmGERlQFcw/qegN0QfV9+Grmyc70+PqsgBbvRFbxDhyfvm7xvkCuxWwSYYRGVAVzF+r7ErCC6vroCeapzrTG+ryAFu/BOnnuzc/Ln/nl2WRy1eB9WV2L2STCCI2oCiYC8qUqmPab0B8v3wzxhZv/9OGHH/7rzcXbkk2u/MjiB2O4FrNJhBEaURVMBORLVTAdroJdfnw2Kec5E/0goBTzVJsiIGuqgulzGf6bX15bPzeu7ZyOISAH5sk2ZRPamKpgOt4H9Nlnn1m5BwFlmKfblMvwtlQFkxsRLRNhhEZUBZMbEX2pCqangGwPgBBQgklTX6qCSdPk+poC+uSN5eUvfiyPP5OmvlQFk6bJ9bUEdPn+9grFSzaXwBBQkklTX6qCSdPk+joCWvjnyvf+6cN/+eHZZPIdBOTLpKkvVcGkaXJ9HQHdn0z+dnXgc/nPk8mPEZArk6a+VAWTpsn1NQQ0PwAqXvn1gdkhkGsxm0QYoRFVwdxA+7j4VVB7I5WYpzfT2utrCOjJa1eKl359fWb1voiuxWwSYYRGVAVzDe3l9p+C2heozDy5mdZfX0tAJefYvTGrazGbRBihEVXBXEH7uQG6oPbE2WGe2kwbrK8hoMv3d46Avm10Hcy1mE0ijNCIqmAuoT29BKyg9oPZZZ7YTJusryGg2f3Svs999oCcmSfWFAG5URVMr8vwm9t/7k/MfjSGazGbRBihEVXBREC+VAXT5RTsF4v7f7735of/uvj1hZvL/B3vCe3EPLGmCMiNqmD6bEJPDsN7QnsxT60pm9BeVAUTAVkmwgiNqAoml+F9qQqmz2vBXOJazCYRRmhEVTC5EdGXqmAiIMtEGKERVcGkqS9VwURAlokwQiOqgklTX6qC6bIH9D/KV7w++RvuhHZl0tSXqmDSNLm+joBeK34M2OVvD7afn905n07fulf6zNNb02Ve/qj66wgox6SpL1XBpGlyfS0BbX8Q6uLnFO4JaG2blWxWeXxeElDF1xFQjklTX6qCSdPk+hoCWv5swuUPif+P+Qff3ntX1rvTG/dmF7enNx5uP/Vo+mr26wgoxzyVpr1e+yrCTF2ZPpvQiwOfKz9avjHif9/70uPz9XHO9d+UnPNO9usIKMc8kab93v1ThJm6Mp2ugl3+dvV8uXrwpvQP1kc7DwrpPLtdkk3F1xFQlnkaTXu+/7kIM3Vlul2G/2Tx85lfOvz83el7y19Lp11Pb93407vT6U/uJb6OgLLMk2ja9yvAijBTV6aXgL75+eLJcnACVhztPD7fbvJs9qAX6qn4+nfXSbLI+FMISP0nIQNK8tmw3Ib+3WILeu9F8FUCejSdvv1w9tc70/mXEBCpCgIiFUm9H9Di8Odvv1jvRe98qSSY7YX2zbbPYi+66uvruB7a2STCQawRtWcep2A9UBVMr/uAVrciLveid340YdUR0CaPpjceZr7uWswmEUZoRO0byCa0P1XBdBLQVjqfnO3eiJgT0OKgBwE1Zp5IUy7Du1MVTBcB/aB02nX5/u6d0OmrXCvncBWsKfNUmnIjojdVwXS5Cvb5zu/+z46ANvf3FPf5PLtdds7h1xFQnklTX6qCSdPk+joCWuXy86rPVtzpfHd1sLMSEXdCN2XS1JeqYNI0ub6mgD55Y/Eq1Cc/eHP/vejnmnll77Vej88Xl+Ev3l1+quLrCCjLpKkvVcGkaXJ9LQGtXokxF9Brk6v77wZ0UXq1++Pz5XHOg/WL4e/tfx0B1WDS1JeqYNI0ub6WgD6YTK7+/dm3/nD5s8NbEWcXd+Z+eevhrBDQ7OKn0+n1tx8efB0B1WDS1JeqYNI0ub6OgL6aTH60/qHwH59NfpywVNO4FrNJhBEaURVMmvpSFUwXAX2weD+ylYD40czuzJE3La6+j71piUnT5PoaArp8/8qvtwL6+szqZzO7FrNJhBEaUfsCle4/HHnTMpOmyfU1BLRSz1pA618QkBtz1E3Lr8AYd9MdJk2T6xFQjqpgjrnpzmtQR910l0nT5PoaArp8f7HxvDbPV4eXwRCQKXPMTRFQn1QF02UTernxvBLQXEZsQvsyx9wUAfVJVTBdBPT12eSlL5YC+ub1yZVfVy9CQEbMMTdFQH1SFUyfGxHvz58x186ufO/5yfYnhCEgL+aom7IJ3SNVwXR6LdjiB4KtYuYfBJRgjrspl+H7oyqYTgKa/eV31+bPm+dePPixPAjImjnyptyI2BtVwfQSkENci9kkwgiNqAomTX2pCiYCskyEERpRFUya+lIVTARkmQgjNKIqmDT1pSqYCMgyEUZoRFUwaepLVTARkC9WWmcAAB30SURBVGUijNCIqmDS1JeqYCIgy0QYoRHVG1DxMzBG2rSKSdPkegSUoyqYo2xa9VPAxtm0kknT5HoElKMqmGNsWvlzUEfZtJpJ0+R6BJSjKpgjbFr9k+DH2DTBpGlyPQLKURXMETZFQAJoiKa1BXT5538zehsgBHSEOcKmCEgADdG0toDs3ggRAR1hjrApAhJAQzRFQHmqgjnGpmxCK6gKJgKyTIQRGlGdH5/L8AKqgomALBNhhEZUbwA3IvZPVTARkGUijNCIqmDS1JeqYNoL6Mkb1+Z5fjJ5bvHrC3Yaci1mkwgjNKIqmDT1pSqYDgJ6bVKK4XGQazGbRBihEVXBpKkvVcG0F9DlL27O88OzK99b/Pp3dncDuRazSYQRGlEVTJr6UhVM9oAsE2GERlQFk6a+VAUTAVkmwgiNqD4PW3Htq8QcU9M8k6bJ9QgoR1UwR9S06u6fEnNETY8waZpcj4ByVAVzPE0r738uMcfT9BiTpsn1CChHVTBH07T6FWAl5miaHmXSNLm+poB4NXxvzNE0RUBbJk2T62sKyCGuxWwSYYRGVIfHREBbJk2T6xFQjqpgjqYpAtoyaZpcj4ByVAVzPE3ZhN4waZpcj4ByVAVzRE25DL9m0jS5HgHlqArmmJpyI+KKSdPkegSUoyqYNPWlKpg0Ta5HQDmqgklTX6qCSdPkegSUoyqYNPWlKpg0Ta5HQDmqgklTX6qCSdPkegSUoyqYNPWlKpg0Ta5HQDmqgjmCptmLXwVzBE1rMmmaXI+AclQFM37T/O0/BTN+07pMmibXI6AcVcEM3/TIDdAFM3zT2kyaJtcjoBxVwYze9NhLwApm9Kb1mTRNrs8KaPUjefZi9ZN5XIvZJMIIjah2D4WADpk0Ta7PC2jnR/IY/2Qe12I2iTBCI6rdQyGgQyZNk+uzApp98/r8ecQRUK/M6E0R0CGTpsn1eQHNLt+fTH5sIxwEVI8Zvimb0AdMmibXHxHQwkDm7waNgHLM+E25DL/PpGly/TEBzb4+m3wHAfXIHEFTbkTcY9I0uf6ogGb3J1d+jYD6Y9LUl6pg0jS5/riALn927fsIqD8mTX2pCiZNk+uPC8grrsVsEmGERlQFk6a+VAUTAVkmwgiNqAomTX2pCiYCskyEERpRDR6j3tZziRm2aWMmTZPrEVCOqmBGbVrz4nuJGbVpcyZNk+uzArr8t6Q+/tz5JzW7FrNJhBEaUTs/Qt3bD0vMoE1bMGmaXJ8V0JPXrv6+Uh7fvN797kTXYjaJMEIjatcHqP0CjBIzZtM2TJom12cFNLs/mbx4qKBPX59Mul+Zdy1mkwgjNKJ2fQAElGPSNLk+L6Dlq1Gfe/Pz8md+eTaZXDW4NdG1mE0ijNCI2vUBEFCOSdPk+iMCms0+Pls8q164+U8ffvjhv968tvjNlR913gBCQElmzKYIKMekaXL9UQHNLlcK2uY5E/2QkWXz9FD/OUjgpJ493/zy2vrpdW3ndKxTXM1qkwj/DTGidn8ILsOnmTRNrq8loGU+++wzK/cgoAwzbFNuREwyaZpcX19A1nEtZpMIIzSiKpg09aUqmMb3Af3gxV8hoJ6ZNPWlKpg0Ta7PC2jxpvTP2W37IKAaTJr6UhVMmibXZwU0u/yXN5bX3T0OhFyL2STCCI2oCiZNfakKpsMe0Ke/WF6GNz8Qci1mkwgjNKIqmDT1pSqYPpvQLgdCrsVsEmGERtT239r04lfBjNa0PZOmyfW1BLSI+YGQazGbRBihEbX1dza+/adgBmvagUnT5PraApptDoT4yai+zFhNm78LR8GM1bQLk6bJ9U0EtMinv/gbBOTKDNW0xUvACmaopp2YNE2ubyogu7gWs0mEERpRW34fAqrFpGlyPQLKURXMUE0RUC0mTZPrEVCOqmCGaoqAajFpmlyPgHJUBTNWUzah6zBpmlyPgHJUBTNYUy7D12DSNLk+K6Anb1w7zAtcBXNlRmvKjYjHmTRNrs8L6LXJYbgPyJdJU1+qgknT5PqsgJbvST/hCKhXJk19qQomTZPr8wKaXb4/mfzYRjgIqB6Tpr5UBZOmyfVHBLQwkNU5FwKqxaSpL1XBpGly/TEBzb4+m3wHAfXIDNK09d5zwQzS1IBJ0+T6owKa3Z9cMfgxhAioLjNG0/ZX3wtmjKYWTJom1x8X0OXPrnX/OcwIqDYzRNMO9x8WzBBNTZg0Ta4/LiCvuBazSYQRGlGbLe/yCoyCGaGpDZOmyfUIKEdVMCM0RUDNmDRNrkdAOaqCGaEpAmrGpGlyPQLKURXMCE0RUDMmTZPrEVCOqmCGaMomdCMmTZPrEVCOqmDGaMpl+CZMmibXI6AcVcEM0pQbERswaZpcj4ByVAWTpr5UBZOmyfUIKEdVMGnqS1UwaZpcj4ByVAWTpr5UBZOmyfUIKEdVMAfdtPvOT4k56KamTJom1yOgHFXBHHJTg2tfJeaQm9oyaZpcj4ByVAVzwE0t7v4pMQfc1JhJ0+R6BJSjKpjDbWpy/3OJOdym1kyaJtcjoBxVwRxuUwTUlknT5HoElKMqmMNtioDaMmmaXI+AclQFc7hNEVBbJk2T6xFQjqpgDrgpm9AtmTRNrkdAOaqCOeSmXIZvx6Rpcj0CylEVzEE35UbEVkyaJtcjoBxVwaSpL1XBpGlyPQLKURVMmvpSFUyaJtcjoBxVwaSpL1XBpGlyPQLKURXMITa13PopmENs6sOkaXI9AspRFcwBNjW9+FUwB9jUiUnT5HoElKMqmMNranv7T8EcXlMvJk2T6xFQjqpgDq6p8Q3QBXNwTd2YNE2uR0A5qoI5uKYIqDOTpsn1CChHVTAH1xQBdWbSNLkeAeWoCubgmiKgzkyaJtcjoBxVwRxeUzahuzJpmlyPgHJUBXOATbkM35FJ0+R6BJSjKphDbMqNiN2YNE2uR0A5qoJJU1+qgknT5HoElKMqmDT1pSqYNE2uR0A5qoI5oKYuZ14Fc0BNnZk0Ta5HQDmqgjmcpj57zwVzOE29mTRNrkdAOaqCOZimTlffC+ZgmrozaZpcj4ByVAVzKE297j8smENp6s+kaXI9AspRFcyhNEVAdkyaJtcjoBxVwRxKUwRkx6Rpcj0CylEVzKE0RUB2TJom1yOgHFXBHExTNqHNmDRNrkdAOaqCOZymXIa3YtI0uR4B5agK5oCaciOiEZOmyfXdBfTszvl0+ta98qf+86fT6fX1p57emi7z8kcIqBaTpr5UBZOmyfWdBbQWTNkvf1wp5/pvFr95fI6AGjFp6ktVMGmaXN9ZQHenN+7NLm5PbzzcfObR9Po/zhafWjrn0fTV6m90LWaTCCM0opY+9j3xKjHlTXtj0jS5vquAHp8vNfP01up4Z55nt6fvzZafWv56d/oOAmrCVDd13nouMdVN+2PSNLm+q4AerA9wHmw98/TW+mxrqZ5nt7dmQkC1mOKm3hffS0xm6ktVMHsX0N3V4U7VmdZSQE9v3fjTu9PpT+4dfKdrMZtEGKERdfOB++2HJSYz9aUqmH0LaHuA8/i82ARaZXVWttmDXntqnu+u05hFekghIPWfhJxeTAW0Ojl7NJ2+/XD21zvT7ZkYAhpyEBDRpZOA9q6zP1opZ7NHdLgX7XpoZ5MIB7FG1M0HnIJ5MGmaXG8noN0joEfn19/b+f10/wjJtZhNIozQiLr9iE1oByZNk+udBPRgunfx6+AICQElmOqmXIa3Z9I0ub6jgBJXwf6475+KPSLXYjaJMEIjauljbkQ0Z9I0ub6rgDb3/zwo7fE8uzt9ZX24s7krseIyvWsxm0QYoRFVwaSpL1XBHMCd0MtXZzwsPn51R0QI6BhT1bSvA5+CyUx9qQpm7wKam+WVvdeCPSjvNz8+X1yGv3j3YA8aASWYoqa9bf0UTGbqS1Uw+38x6kXp1fCPz+fHQZv335jn1aWOVl8/uBXatZhNIozQiNrfxa+CyUx9qQpm/wKaXdyZ++Wt5fHNUkCPpjsCml0s3hzo7f3jHwSUYkqa9nj7zzbM1JmqYAoE1DauxWwSYYQ2QUCuTJom1yOgHFXBREC+VAWTpsn1CChHVTARkC9VwaRpcj0CylEVTDahfakKJk2T6xFQjqpgchnel6pg0jS5HgHlqAomNyL6UhVMmibXI6AcVcGkqS9VwaRpcj0CylEVzJ6hqwOfU2i6piqYNE2uR0A5qoLZL3S99XMCTTdUBZOmyfUIKEdVMHuFbt9/tU/oOszUmapgIiDLRBhhpyhu/9mGmTpTFUwEZJkII+wUBNQPk6bJ9QgoR1UwEZAvVcGkaXI9AspRFUwE5EtVMGmaXI+AclQFk01oX6qCSdPkegSUoyqYXIb3pSqYNE2uR0A5qoLJjYi+VAWTpsn1CChHVTB7ge5v+4y36QFVwaRpcj0CylEVzD6gBxvPo216SFUwaZpcj4ByVAWzB+jhpa+xNq2gKpg0Ta5HQDmqgukPrbj4PtKmVVQFk6bJ9QgoR1UwEZAvVcGkaXI9AspRFUwE5EtVMGmaXI+AclQFEwH5UhVMmibXI6AcVcFkE9qXqmDSNLkeAeWoCiaX4X2pCiZNk+sRUI6qYHpCt9rhRsRemTRNrkdAOaqC6QhNv/B9bE0zVAWTpsn1CChHVTD9oJm33hhZ0xxVwaRpcj0CylEVTDdo7s1/xtU0S1UwaZpcj4ByVAUTAflSFUyaJtcjoBxVwURAvlQFk6bJ9QgoR1UwEZAvVcGkaXI9AspRFUw2oX2pCiZNk+sRUI6qYHIZ3peqYNI0uR4B5agKpgM0ef9hQbWHHg0zdaYqmAjIMhFGWCPpA5+Cag49HmbqTFUwEZBlIozweDJbPwXVGlojzNSZqmAiIMtEGOHR5C5+FVRjaJ0wU2eqgomALBNhhEeDgHapCiZNk+sRUI6qYCIgX6qCSdPkegSUoyqYCMiXqmDSNLkeAeWoCiab0L5UBZOmyfUIKEdVMM2gO3f/cBl+Q1UwaZpcj4ByVAXTClrSzlH/xG7ajKpg0jS5HgHlqAqmEbTOiVeJagNtFGbqTFUwEZBlIowwkVpbzyWqCbRZmKkzVcFEQJaJMMJEEFCKqmDSNLkeAeWoCiYC8qUqmDRNrkdAOaqCiYB8qQomTZPrEVCOqmCyCe1LVTBpmlyPgHJUBbMrdGOdJv6J2bQdVcGkaXI9AspRFcyO0MI7DfwTsmlLqoJJ0+R6BJSjKpjdoM3OvApqJ2i7MFNnqoKJgCwTYYS7abj3XFC7QFuGmTpTFUwEZJkII9wNAjpKVTBpmlyPgHJUBRMB+VIVTJom1yOgHFXBREC+VAWTpsn1CChHVTDbQXcvvrMJnaYqmDRNrkdAOaqC2Qq6e/G9sX8CNe1MVTBpmlyPgHJUBbMNtHzc08Y/cZp2pyqYNE2uR0A5qoLZAtp256dEbfuNHcJMnakKJgKyTIQRLoKAGlAVTJom1yOgHFXBREC+VAWTpsn1CChHVTARkC9VwaRpcj0CylEVzEbQtXS6+idAUzOqgknT5HoElKMqmE2gW+109M/wm9pRFUyaJtfrBEQ6Z3Pgs/5Q/cchpFs4AtqjKpj1od23fgpq50dowWSmvlQFM9ARkGsxmwx8hAioDVXBpGlyPQLKURVMBORLVTBpmlyPgHJUBbMOdCUdBNSGqmDSNLkeAeWoCmYN6MY6Zv4ZbFMHqoJJ0+R6BJSjKpjHoYV3rPwz1KYeVAWTpsn1CChHVTCPQstnXkb+GWhTF6qCSdPkegSUoyqYjQRkRrV7qPpMZupLVTARkGWGOUIE1ImqYNI0uR4B5agKZhq698IvBNSKqmDSNLkeAeWoCmYSuvfCL0v/DKypK1XBpGlyPQLKURXMFLSkHXP/DKupL1XBpGlyPQLKURXMBHTnxMvaP4Nq6kxVMGmaXI+AclQFs46A7KkeD3qMefIzdaYqmAjIMsMYofnrLqqoHg96jHnCM+2FqmAiIMsMYoRr6yAgI6qCSdPkegSUoyqYe9Ctdjz9M4imPVEVTJom1yOgHFXB3IWWDnwc/TOEpn1RFUyaJtcjoBxVwUwKyP7aV4nq9LhZ5qnOtC+qgomALCMdYR97zwXV9dETzNObab9UBRMBWUY5wl72nguq66MnmCc3056pCiYCsoxwhP3sPRdU34evZp7aTPumKpgIyDK6Efa091xQnR+/knliM+2dqmAiIMsMQkCee88F1RtQxTyxmfZOVTARkGUE0LVtetr62SbCk9WIqmDSNLkeAeWovRPLRz0IyIWqYNI0uR4B5ah9A3fPu/rzT4gnqxFVwaRpcj0CylF75u3v/PTmnxBPViOqgknT5HoElKP2Rqo48erTPyGerEZUBZOmyfUIKEftC9TvXYcVifBkNaIqmDRNrkdAOWpPnMlBegJvE+HJakRVMGmaXI+ActR+MHr/hHiyGlEVTJom1yOgHNUbcLD1I/JPiCerEVXBpGlyPQLKUZ0fv2LrR+OfEE9WI6qCSdPkegSUo/o+fOWp1yibVjNp6ktVMBGQZZygpevsh1s/o2qaZ9LUl6pgIiDL+EDLZ1uHWz9janqESVNfqoKJgCzjAt2zzv7Wz4iaHmPS1JeqYCIgy9hC9497dk+9tswRNK3JpKkvVcFEQJYxhR4e91T5ZwxN6zJp6ktVMBGQZSyhVcc9Ff4ZQdPaTJr6UhVMBGQZE2jyzOvLyrt+AjdtyqSpL1XBRECWsYAenHlVnniVmGGbNmbS1JeqYCIgyxhAK8ST9U/cps2ZNPWlKpgIyDIdoKVzrMqtnzQzWtP2TJr6UhVMBGSZ9tDdbeYaZ14FM1jTDkya+lIVTARkmebQvQOfkoCOnHkVzCBNDZg09aUqmAjIMo2hyR3n+i90D9LUgklTX6qCiYAsUxe6UUtyx7nBW2wMu6kpk6a+VAUTAVmmJjS94TOpvtkwyxxyU1smTX2pCiYCsswRaHrDpySgmmdeBXOITX2YNPWlKpgIyDJ5aGbDp/GJV4k5wKZOTJr6UhVMBGSZaujegU+leFr7Z1BNnZk09aUqmAjIMpXQzPlW+xOvEnM4Tb2ZNPWlKpgIyDJl6MYo2ROu9gc+BVPetDcmTX2pCiYCssxs3ztH/GPxQy14sjpTFUyaJtcjoBz1wDuZMy8rJk9WX6qCSdPkegRUmZVRZpnjnfKBj6F/eLJ6UxVMmibXI6BStiJJH+54Hfhsw5PVmapg0jS5HgEd7vPkxLP92pe2Bz7b8GR1piqYNE2uP2EB7XvnwDGVAnI68NmGJ6szVcGkaXL9yQloa49979TKziO4hCerM1XBpGly/akIaP9wp6l3nI97ivBkdaYqmDRNrh+5gPa9szVKTfH0ddxThCerM1XBpGly/ZgEtHXEzgeNT7MKO8368842PFmdqQomTZPrwwoobZv9D5qmeIQIIzSiKpg09aUqmCMVUHEcsvkobZvDD+p6Z/tQ2xsRm/1tmoQnqzNVwaRpcn0IARVm2HVFe9uU7+fZffSdv55mf5sm4cnqTFUwaZpc311Az+6cT6dv3Ut+quLrDQW07wqDfJnzTvHX0+xv0yQ8WZ2pCiZNk+s7C+jprekiL3+U+FTF1xsKyMw6ladZ2b+eZn+bJuHJ6kxVMGmaXN9ZQHenN+7NLm5Pbzys/lTF1/sS0PY7ax3uVP31NPvbNAlPVmeqgknT5PquAnp8vjy2eXrr+m8qP1XxdR8BfXn4QVvvFH89jb+je3iyOlMVTJom13cV0IPpq+tf36n8VMXXLQVUaZtCO+28U/z1tP/W9kyerL5UBZOmyfVdBXR3+t7y10dr0ex/quLrTQV0cCa1c05VZZtu2in99Vg8SFMmT1ZfqoJJ0+T6jgJ6dnt9avX4fLPJs/Opiq9/d50GlJVkDj+a7XxACAmdoQqoJBl0Q8hY00lAmwvtO5+q+Pomrod2NolwEGtEVTBp6ktVMAOcgiGgPJOmvlQFk6bJ9QgoR1UwaepLVTBpmlzfUUC9XAVrUcwmEUZoRFUwaepLVTAF9wG9s/Pr/qcqvo6Askya+lIVTJom13cVUA93QrcpZpMIIzSiKpg09aUqmL0L6Nnt6St7r/Xa+VTF1xFQlklTX6qCSdPk+q4Cml2UXu3++Hx5nFP+1O5vENBxJk19qQomTZPrOwtodnFn7pe3lsc3awGVP7X3GwR0lElTX6qCSdPk+u4CahvXYjaJMEIjqoJJU1+qgomALBNhhEZUBZOmvlQFEwFZJsIIjagKJk19qQomArJMhBEaURVMmvpSFUwEZJkIIzSiKpg09aUqmAjIMhFGaERVMGnqS1UwEZBlIozQiKpg0tSXqmAiIMtEGKERVcGkqS9VwURAlokwQiOqgklTX6qCiYAsE2GERlQFk6a+VAUTAVkmwgiNqAomTX2pCiYCskyEERpRFUya+lIVTARkmQgjNKIqmDT1pSqYCMgyEUZoRFUwaepLVTARkGUijNCIqmDS1JeqYCIgy0QYoRFVwaSpL1XBDCSgRmn2g1Qjh6bjC01rBgHpQ9PxhaY1g4D0oen4QtOaQUD60HR8oWnNICB9aDq+0LRmEJA+NB1faFozCEgfmo4vNK0ZBKQPTccXmtbMcAVECBl9EBAhRBYERAiRBQERQmRBQIQQWRAQIUQWBEQIkQUBEUJkGZyAnt6aLvPyR8Xnnt05n07fuqf7Q/nkP386nV7fqVVVPnoqhsc8Y8fy3+jgBPT4/KDcuu/Ipjj746ro9d8Un6ooHz0Vw2OewWP5b3RwAno0fXX/U3enN+7NLm5PbzxU/IG88mh6/R9ni1qloVWUj56K4THP4LH8Nzo4Ad2dvrP3mcfny5E+vVX+b0v4PLs9fW/x6/w/He9tP3lYPnoqhsc8o8fy3+jQBPTs9kGFB2vfPhjVNJ/eWv+XsjTNivLRUzE85hk8pv9Ghyagp7du/Ond6fQnpd2su+v/pIz0eLb0hK0oHz0Vw2OewWP6b3RoAtrsbxXHsVvfPj4f16bBKrsnJ/vlo6dieMwzekz/jQ5NQI+m07cfzv56p7iYMPIn7IPSfzMOy0fP6Qlo3PNcxvTf6NAEtJlfcSBbKjeyq5mLPCo/OQ/LR0/F8Jhn9Jj+Gx2agDZ5ND2J/2I+Or9ecXj+aDRXqE/tCGjs89yJyb/RgQjo0f65cuV/Mccwxp2mD6oPzsdzbHBiAhr9PHdi8m90uALaNhnXVZNy0z8mNgdG9E/zpK6CncA8yzH5NzoQAW2yuZ2r3GRzb8G47huZd707fWXnP4xV5aOnYnjMM3Zs/40OTEBzlS5LbUvOxnrn7PLu9Yf7nzkoHz0ncyf0icxzEdN/o0MT0OPzxSW+i3dLw5wXfWWErx16cNinonz0VAyPeQaP6b/RoQloPsfVy2oXt1k+Pl8K9WKMr57evKXBPK9um5bLjyTl4THPccTy3+jgBDS7WLyryttLka7LzS7uzLu9Nar/imw2o3efsOXyY0lpeMxzJDH8Nzo8ARFCTiYIiBAiCwIihMiCgAghsiAgQogsCIgQIgsCIoTIgoAIIbIgIEKILAiIECILAiKEyIKACCGyICBCiCwIiBAiCwIihMiCgEh/+fi/fKH+I5BhBQGR3vLB5NsIiOwEAZHegoDIfhAQ6S0IiOwHAZHegoDIfhAQccw3Pz+bTK68+PvFx/cny3x/8fGni89Prr2Jj049CIj4Ze2cyeSlWVlAl7/dfP7qH9R/RKINAiJumStncfDzl9+uDLQ9BZt//qX5B9+8Ppl8R/snJOogIOKVr882frk/ufLr2VZAT15bf37+AZtCJx4ERLxyf/Kt9RnW5ftL5awF9NVKR8tPf4tzsNMOAiJOWVtnmZV6Dq6CfYCATj0IiDhlfoJVysI0ZQH95dMPf/H8BAGdehAQcUpGQB8/X/40OeEgIOKU7V7zNmsBzc/NFjcB3fyfn3MKdvJBQMQpc88cbPksP7G+Cj9jD4ggIOKWDzZXuzYuWgmoENP8GAkBnXgQEPHK12cb03w1mfx4diig++wBnXwQEHHLXDBXfzU3zj9PNudeV359+fnmFOzT1yeT7TESOdEgIOKX7WvBVoc8Xy0+/M7syevrz774z6sjI3K6QUDEMd/8fHHB/YVfrX/78dlcQF/MLn/3/OI18v9ecaGMnFgQECFEFgRECJEFARFCZEFAhBBZEBAhRBYERAiRBQERQmRBQIQQWRAQIUQWBEQIkQUBEUJkQUCEEFkQECFEFgRECJEFARFCZEFAhBBZEBAhRBYERAiRBQERQmRBQIQQWf4/WXoJMT6RoV4AAAAASUVORK5CYII=" alt="Figure 5. Linear predictor (logit scale) against probabilities" width="576" />
</div>
<hr />
</div>
<div id="logistic-regression-assumptions" class="section level2">
<h2>Logistic Regression Assumptions</h2>
<p>Much like a normal distribution was assumed for normal linear regression, for logistic regression a Bernoulli distribution is assumed.</p>
<ul>
<li><span class="math inline">\(y \sim Bern(\mu)\)</span></li>
</ul>
<p>The Bernoulli only has the one parameter, the probability of the event occuring.</p>
<p>In logistic regression the outcome is either 0 or 1, so outliers on the outcome are not a concern</p>
<p>Outliers on predictors may still be a concern</p>
<p>One problem that sometimes arises is known as separation, this occurs when some predictor perfectly predicts the outcome or separates the outcome, most often when the outcome is rare or the sample size is small.</p>
<ul>
<li>In a sample of 60 people where only 10 have major depression, if 80% of the sample also have PTSD, it may happen that all cases of major depression occurred in people with PTSD, so the percentage of depression in those without PTSD is exactly 0%, which is separation.</li>
<li>The usual solution is to remove predictors or collapse groups in these cases</li>
</ul>
<p>Logistic regression still requires that the errors be independent (i.e., individuals are independent, not dependent or repeated measures). Generalized linear mixed models (GLMMs) and specifically logistic mixed effects models relax the indepedence assumption.</p>
<p>Logistic regression also assumes that on the linke scale (logit scale) there is a linear relationship.</p>
<p>Finally, logistic regression generally requires a large sample size. There are no degrees of freedom, requires large enough sample that parameters are distributed about normally (central limit theorem).</p>
<hr />
</div>
<div id="simple-logistic-regression-example-1" class="section level2">
<h2>Simple Logistic Regression (Example 1)</h2>
<p>First, let’s test whether women or men in the study are more likely to be born in or outside of Australia. To begin with and avoid a repeated measures dataset, we will make a dataset without repeated data.<label for="tufte-sn-4" class="margin-toggle sidenote-number">4</label><input type="checkbox" id="tufte-sn-4" class="margin-toggle"><span class="sidenote"><span class="sidenote-number">4</span> Download the script to run all the examples in lecture here: <a href="https://jwiley.github.io/MonashHonoursStatistics/GLMM_slides.rmd" class="uri">https://jwiley.github.io/MonashHonoursStatistics/GLMM_slides.rmd</a> Note that this is a new kind of file, but you can also open it in RStudio. It combines text and has <code>R</code> code in “chunks” marked by three back ticks and is called an <code>R</code> markdown file. <code>R</code> markdown is a very flexible way to write text or notes in between pieces of <code>R</code> code. The whole document can be “processed” or rendered by <code>R</code> and the result has both the text, the code and the output, which is a great way to do your analyses keeping enough records and notes of why you are doing things or how to interpret them. To see more possibilities, go to: <a href="https://rmarkdown.rstudio.com/" class="uri">https://rmarkdown.rstudio.com/</a> </span></p>
<pre class="r"><code>## create a new dataset with just 6 variables
## BSTRESS and BPosAff are average stress and PosAff
wd <- d[, .(UserID, BornAUS, Female,
Age, BSTRESS, BPosAff)]
## omit any rows (observations) that are missing
## any variable
wd <- na.omit(wd)
## exclude any rows with duplicated IDs
## this results in just one row per ID
wd <- wd[!duplicated(UserID)]
dim(wd)</code></pre>
<pre><code>## [1] 190 6</code></pre>
<p>There are 190 people in this little dataset. Below we ask <code>R</code> for frequency tables</p>
<pre class="r"><code>table(wd$Female)</code></pre>
<pre><code>##
## 0 1
## 75 115</code></pre>
<pre class="r"><code>table(wd$BornAUS)</code></pre>
<pre><code>##
## 0 1
## 125 65</code></pre>
<p>To run the logistic regression, we need four pieces</p>
<ul>
<li>the <code>glm()</code> function for the logistic regression model</li>
<li>A formula indicating our model of the form:
<ul>
<li>dependent variable ~ predictor</li>
</ul></li>
<li>The name of the assumed distribution, <code>binomial()</code></li>
<li>The name of the dataset, “wd”</li>
</ul>
<pre class="r"><code>m1 <- glm(BornAUS ~ Female,
family = binomial(),
data = wd)
summary(m1)</code></pre>
<pre><code>##
## Call:
## glm(formula = BornAUS ~ Female, family = binomial(), data = wd)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -1.011 -1.011 -0.764 1.354 1.657
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -1.081 0.265 -4.07 4.7e-05 ***
## Female 0.675 0.327 2.07 0.039 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 244.12 on 189 degrees of freedom
## Residual deviance: 239.69 on 188 degrees of freedom
## AIC: 243.7
##
## Number of Fisher Scoring iterations: 4</code></pre>
<p>The output shows several things:</p>
<ul>
<li>The deviance residuals</li>
<li>A coefficient table, like linear regression
<ul>
<li>Estimate: familiar regression coefficients on linear scale</li>
<li>Std. Error: standard error for the regression coefficients</li>
<li>z value: takes the place of the t statistic in normal linear regression, this is essentially a z-test</li>
<li>Pr(>|z|): the p-value, based on the Z value</li>
</ul></li>
<li>The <strong>residual deviance</strong> degrees of freedom: sample size - number parameters (here two: one for intercept, one for Female slope)</li>
<li>The Akaike Information Criterion (AIC) which can be used to compare different models.</li>
</ul>
<p>With a simple model, we can easily convert from the logit scale to the probability scale</p>
<p>Men are the reference group, captured by the intercept</p>
<ul>
<li><span class="math inline">\(\frac{1}{1 + e^{- (-1.08)}} = 0.25\)</span>
<ul>
<li>Men have a 0.25 probability of being born in Australia</li>
</ul></li>
</ul>
<p>The coefficient for women, indicates that women have 0.68 higher log odds (the logit scale) of being born in Australia than do men</p>
<p>To calculate the probability that women will be born in Australia:</p>
<ul>
<li><span class="math inline">\(\frac{1}{1 + e^{- (-1.08 + 0.68)}} = 0.4\)</span>
<ul>
<li>Women have a 0.4 probability of being born in Australia</li>
</ul></li>
</ul>
<hr />
<p>Rather than interpret coefficients on the log odds (logit) scale, people commonly exponentiate the coefficients so they are on the odds scale.</p>
<ul>
<li>Women have <span class="math inline">\(e^{0.68} = 1.96\)</span> times the odds of being born in Australia as do men</li>
<li>This is called the odds ratio (OR)</li>
</ul>
<p>An example summary of this analysis is: “Women were more likely to be born in Australia than men, (OR = 1.96, p = .039).”</p>
<p>Another way of saying the same thing: “Women had 1.96 times the odds of being born in Australia as women (p = .039).”</p>
</div>
<div id="simple-logistic-regression-example-2" class="section level2">
<h2>Simple Logistic Regression (Example 2)</h2>
<p>Next we examine a continuous predictor, average level of positive affect as a predictor of whether participants were born in Australia.</p>
<p>The figure below shows the distribution of average positive affect, “BPosAff”</p>
<pre class="r"><code>ggplot(wd, aes(BPosAff)) +
geom_histogram(binwidth=1, colour = "black")</code></pre>
<p><img 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" width="576" /></p>
<p>The analysis in <code>R</code> is very similar to the previous example:</p>
<pre class="r"><code>m2 <- glm(BornAUS ~ BPosAff,
family = binomial(),
data = wd)
summary(m2)</code></pre>
<pre><code>##
## Call:
## glm(formula = BornAUS ~ BPosAff, family = binomial(), data = wd)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -1.232 -0.924 -0.799 1.347 1.753
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -1.756 0.556 -3.16 0.0016 **
## BPosAff 0.405 0.194 2.09 0.0366 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 244.12 on 189 degrees of freedom
## Residual deviance: 239.65 on 188 degrees of freedom
## AIC: 243.7
##
## Number of Fisher Scoring iterations: 4</code></pre>
<ul>
<li>The coefficient for average positive afffect indicates that for every one unit change in average PosAff, people have 0.41 higher log odds of being born in Australia</li>
<li>In odds ratios:
<ul>
<li>For each additional unit higher average positive affect, participants have 1.5 times the odds of being born in Australia (p = .037).</li>
</ul></li>
<li>One challenge with the odds ratio metric is that it is multiplicative
<ul>
<li>If the baseline odds are 2, then 1.2 times the odds would be 2.4 (an absolute difference of 0.4)</li>
<li>If the baseline odds are 4, then 1.2 times the odds would be 4.8 (an absolute difference of 0.8)</li>
</ul></li>
<li>Important to keep this interpretation in mind, odds ratios do not directly indicate the probability of the event occuring, just how many times higher the odds</li>
</ul>
<p>We can calculate the specific probability of being born in Australia as we did for sex</p>
<p>Probability of being born in Australia for participants with 0 average positive affect</p>
<ul>
<li><span class="math inline">\(\frac{1}{1 + e^{- (-1.76)}} = 0.15\)</span>
<ul>
<li>Participants with 0 average positive affect have a 0.15 probability of being born in Australia</li>
</ul></li>
</ul>
<p>Probability of being born in Australia for participants with a 4 average positive affect</p>
<ul>
<li>First calculate the log odds
<ul>
<li><span class="math inline">\(-1.76 + 0.41 * 4 = -0.14\)</span></li>
</ul></li>
<li>Then convert the log odds to probabilities</li>
<li><span class="math inline">\(\frac{1}{1 + e^{- (-0.14)}} = 0.47\)</span>
<ul>
<li>Participants with a 4 average positive affect have a 0.47 probability of being born in Australia</li>
</ul></li>
</ul>
</div>
<div id="multiple-logistic-regression-example-3" class="section level2">
<h2>Multiple Logistic Regression (Example 3)</h2>
<p>Include both sex and average positive affect as predictors.</p>
<pre class="r"><code>m3 <- glm(BornAUS ~ Female + BPosAff,
family = binomial(),
data = wd)
summary(m3)</code></pre>
<pre><code>##
## Call:
## glm(formula = BornAUS ~ Female + BPosAff, family = binomial(),
## data = wd)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -1.393 -0.942 -0.739 1.279 1.945
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -2.358 0.640 -3.68 0.00023 ***
## Female 0.749 0.334 2.24 0.02512 *
## BPosAff 0.452 0.200 2.26 0.02368 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 244.12 on 189 degrees of freedom
## Residual deviance: 234.41 on 187 degrees of freedom
## AIC: 240.4
##
## Number of Fisher Scoring iterations: 4</code></pre>
<ul>
<li>Results show that women are more likely to be born in Australia than men, controlling for average positive affect</li>
<li>In the odds ratio metric, women have 2.11 times the odds of being born in Australia than men, controlling for average positive affect.</li>
<li>Note on the odds ratio metric, a 1 means no difference (1 times the odds) and values less than 1 indicate lower odds, and values above 1 indicate higher odds</li>
</ul>
<p>In this model, the probability of being born in Australia depends on sex and average positive affect so it is not as easy to calculate</p>
<ul>
<li>to calculate need to pick values for <em>all predictors</em>
<ul>
<li>probability for a woman with 2 average positive affect</li>
<li>probability for a woman with 4 average positive affect, etc.</li>
</ul></li>
</ul>
</div>
<div id="reporting-logistic-regression" class="section level2">
<h2>Reporting Logistic Regression</h2>
<p>Logistic regression results are often presented as</p>
<ul>
<li>Coefficient (standard error) on the log odds scale</li>
<li>Odds ratio [95% confidence interval] on the odds ratio scale</li>
</ul>
<p>We already saw the first example, to get odds ratios and confidence intervals there are a couple steps</p>
<ul>
<li>Extract coefficients and confidence intervals</li>
<li>Convert to odds ratios by exponentiating</li>
</ul>
<pre class="r"><code>## odds ratios
exp(coef(m3))</code></pre>
<pre><code>## (Intercept) Female BPosAff
## 0.095 2.115 1.572</code></pre>
<pre class="r"><code>## 95% confidence intervals for odds ratios
exp(confint.default(m3))</code></pre>
<pre><code>## 2.5 % 97.5 %
## (Intercept) 0.027 0.33
## Female 1.098 4.07
## BPosAff 1.062 2.32</code></pre>
<p>From these results, we could say: “Adjusting for sex, average positive affect was associated with 1.57 [95% CI 1.06, 2.32] of being born in Australia, p = .024.”</p>
<p>We can also plot the results from logistic regressions using the <code>visreg()</code> function we have used for interactions.</p>
<pre class="r"><code>visreg( m3,
xvar = "BPosAff",
by = "Female",
partial = FALSE, rug = FALSE,
overlay=TRUE)</code></pre>
<p><img 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" width="576" /></p>
<p>By default, the graphs from <code>visreg()</code> are on the logit (log odds) scale. This shows clearly how we are still dealing with a (generalized) linear model. However, this is a very difficult scale to interpret. To make graphs easier to interpret and present, it is useful to present them on the probability scale. Although it is tedious to calculate probabilities by hand, it is straight forward with <code>visreg()</code> by specifying an additional argument, <code>scale = "response"</code> to indicate that we want the results on the response scale rather than the link scale.</p>
<p>One thing you will notice about this graph, albeit slight, is that the difference in probabilities is not strictly linear, nor is the difference between women and men the same distance at all levels of average positive affect on the probability scale. Although logistic models are still linear on the link scale, on the response (probability) scale, they are not strictly linear.</p>
<pre class="r"><code>visreg( m3,
xvar = "BPosAff",
by = "Female",
partial = FALSE, rug = FALSE,
overlay=TRUE,
scale = "response")</code></pre>
<p><img 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" 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</div>
</div>
<div id="generalized-linear-mixed-models" class="section level1">
<h1>Generalized Linear Mixed Models</h1>
<p>Generalized Linear Mixed Models (GLMMs) are just like regular linear mixed models (LMMs) except that insetad of the outcome variable being a continuous, normally distributed variable, we assume the outcome is a binary variable (0/1) and follows a Bernoulli distribution and we use the logit link function to map the outcome to our predictors on a linear scale.</p>
<p>Otherwise, GLMMs and LMMs are basically the same. On the logit (link) scale, we still assume a linear association of predictors and the outcome. We still assume that the random effects follow a (multivariate) normal distribution <em>on the link scale</em>.</p>
<p>For GLMMs, we cannot even approximate the degrees of freedom for the model. Because of this, the standard approach is to simply assume that the sample size is large enough that the t distribution approximates a normal distribution. In GLMMs, p-values are based off of assuming that: z = estimate / SE and then looking up p-values based on the Z values. Finally, the Bernoulli / Binomial distribution does not have a meaningful variance estimate so there is no residual variance estimate. Consequently, things like the ICC are not readily calculated (although if critical to your research, approximations do exist).</p>
<p>One other note is that although LMMs can have some convergence issues, estimating GLMMs is even harder for the computer. They typically are slower to estimate and are more prone to convergence issues.</p>
<div id="glmms-in-r" class="section level2">
<h2>GLMMs in <code>R</code></h2>
<p>GLMMs, specifically logistic mixed models are applicable any time you have a repeatedly measured (or multilevel, such as children within families) data where the outcome is binary.</p>
<p>In the daily diary study data we have used, we do not have a perfect repeatedly measured, binary outcome, so we will make one by defining positive affect scores above 3 (the scale midpoint) as “happy” (scored 1) and otherwise as “unhappy” (scored 0).</p>
<pre class="r"><code>## create a binary positive affect variable
## caled PosAffBin, defined as integer values for PosAff > 3
## where 1 = TRUE (PosAff > 3) and 0 = FALSE (PosAff <= 3)
d[, PosAffBin := as.integer(PosAff > 3)]</code></pre>
<p>We fit GLMMs by adding a “g” to <code>lmer()</code> using the: <code>glmer()</code> function. <code>glmer()</code> works almost identically to <code>lmer()</code>, except that you also must specify the family, which is the assumed distribution for the outcome. We use <code>binomial()</code>.</p>
<pre class="r"><code>glmm1 <- glmer(PosAffBin ~ 1 + (1 | UserID),
family = binomial(),
data = d)
summary(glmm1)</code></pre>
<pre><code>## Generalized linear mixed model fit by maximum likelihood (Laplace
## Approximation) [glmerMod]
## Family: binomial ( logit )
## Formula: PosAffBin ~ 1 + (1 | UserID)
## Data: d
##
## AIC BIC logLik deviance df.resid
## 6313 6327 -3154 6309 6397
##
## Scaled residuals:
## Min 1Q Median 3Q Max
## -4.193 -0.516 -0.217 0.575 4.889
##
## Random effects:
## Groups Name Variance Std.Dev.
## UserID (Intercept) 4.05 2.01
## Number of obs: 6399, groups: UserID, 191
##
## Fixed effects:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -0.716 0.152 -4.72 2.3e-06 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1</code></pre>
<p>The output is fairly similar to output for LMMs.</p>
<ul>
<li><code>R</code> first tells us how it fit the model (maximum likelihood based on the Laplace approximation).</li>
<li>Then it tells us the family and link function, logit.</li>
<li>Then it tells us the formula for the model and the dataset.</li>
<li>Information criterion (AIC, BIC), the log likelihood, deviance (-2 * log likelihood) and the residual degrees of freedom, which are used for the AIC and BIC.</li>
<li>Scaled residuals are a sort of normalized residual on the logit scale.</li>
<li>Random effects are presented on the link (logit) scale and on this scale are assumed to follow a normal distribution. Note that there is no estimated residual variance, due to the outcome being assumed to follow a Bernoulli / Binomial distribution.</li>
<li>The number of observations and groups (here people) are reported.</li>
<li>The fixed effects section is familiar with estimates (coefficients), standard errors (Std. Error), z values in place of t values, and p-values based off the z values, Pr(>|z|).</li>
</ul>
<p>Below we visualise the BLUPs for the random intercept on the logit (link) scale and the probability (response) scale. Note that the first is assumed to be normally distributed (appears somewhat violated in this instance). The second does not need to follow (and will not) a normal distribution. The second distribution on the probability scale shows the average probability that each participant is “happy” (PosAff > 3) at any given survey.</p>
<pre class="r"><code>ggplot(coef(glmm1)$UserID, aes(`(Intercept)`)) +
geom_histogram() +
ggtitle("BLUPs on logit scale")</code></pre>
<pre><code>## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.</code></pre>
<p><img 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" width="576" /></p>
<pre class="r"><code>ggplot(coef(glmm1)$UserID, aes(plogis(`(Intercept)`))) +
geom_histogram()+
ggtitle("BLUPs on probability scale")</code></pre>
<pre><code>## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.</code></pre>
<p><img 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" width="576" /></p>
<p>We can easily convert the fixed effect intercept estimate to a probability for interpretation using the <code>plogis()</code> function in <code>R</code>. However, GLMMs have a complexity. Because the logit function is not linear, when you transform from the link scale to the probability scale changes the results. For example, the average of the individual estimates on the link scale converted to probabilities, is not the same as the average of the indivdiual estimates on the probability scale. To see this, we calculate the BLUPs for the random effect intercept. In one case, we take the average then back transform to probabilities using the <code>plogis()</code> function. In the second example, we back transform then average. The results are rather different. <strong>If you want the average probability, the second approach is the correct one.</strong></p>
<pre class="r"><code>## random intercept BLUPs
blups <- coef(glmm1)$UserID[["(Intercept)"]]
## back transform average of the BLUPs
plogis(mean(blups))</code></pre>
<pre><code>## [1] 0.34</code></pre>
<pre class="r"><code>## average back transformed BLUPs
## this is the correct way to estimate the average
## probability of being happy
mean(plogis(blups))</code></pre>
<pre><code>## [1] 0.39</code></pre>
<p>An implication of this difference is that although you can easily generate predicted plots for the fixed effects of GLMMs, these are only valid on the link scale.</p>
<p>As with regular LMMs, we can add predictors and include them as fixed and random effects, if desired. This next model tests stress as a fixed and random effects predictor of binary positive affect. Note this takes a few seconds to run.</p>
<pre class="r"><code>glmm2 <- glmer(PosAffBin ~ 1 + STRESS + (1 + STRESS | UserID),
family = binomial(),
data = d)
summary(glmm2)</code></pre>
<pre><code>## Generalized linear mixed model fit by maximum likelihood (Laplace
## Approximation) [glmerMod]
## Family: binomial ( logit )
## Formula: PosAffBin ~ 1 + STRESS + (1 + STRESS | UserID)
## Data: d
##
## AIC BIC logLik deviance df.resid
## 5619 5653 -2804 5609 6394
##
## Scaled residuals:
## Min 1Q Median 3Q Max
## -4.711 -0.464 -0.161 0.432 10.832
##
## Random effects:
## Groups Name Variance Std.Dev. Corr
## UserID (Intercept) 4.7468 2.179
## STRESS 0.0602 0.245 -0.39
## Number of obs: 6399, groups: UserID, 191
##
## Fixed effects:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) 0.3080 0.1714 1.8 0.072 .
## STRESS -0.5082 0.0336 -15.1 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Correlation of Fixed Effects:
## (Intr)
## STRESS -0.394</code></pre>
<p>In the results, we can see the usual information. All of these results can be interpretted basically the same as for LMMs <em>on the link scale</em>. For example, we can interpret that when stress is 0, the average log odds of being happy is 0.31 and that about two thirds of people have a log odds of being happy between -1.87 and 2.49, found by taking the fixed effect intercept estimate plus or minus the random effect intercept standard deviation estimate.</p>
<p>We can interpret the slope for stress as indicating that on average, a one unit increase in stress is associated with a -0.51 change in the log odds of being happy. We also can exponentiate the estimate and say that the fixed effects revealed that each unit change in stress was associated with 0.6 times the odds of being happy<label for="tufte-sn-5" class="margin-toggle sidenote-number">5</label><input type="checkbox" id="tufte-sn-5" class="margin-toggle"><span class="sidenote"><span class="sidenote-number">5</span> Here the odds ratio is calculated by taking: <span class="math inline">\(e^b\)</span> or in <code>R</code> <code>exp(fixef(glmm2))</code></span>.</p>
<p>Plotting or visualization on the log odds scale for the fixed effects also is easy.</p>
<pre class="r"><code>visreg(glmm2,
xvar = "STRESS",
partial=FALSE, rug=FALSE)</code></pre>
<p><img src="data:image/png;base64,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" width="576" /></p>
<p>However, although it is equally easy to produce a plot on the probability scale, these probabilities based solely on the fixed effects do not have any easy interpretation. Specifially, the probabilities from the fixed effects only are not the average probability of being happy as a function of stress.</p>
<pre class="r"><code>visreg(glmm2,
xvar = "STRESS",
partial=FALSE, rug=FALSE,
scale = "response")</code></pre>
<p><img src="data:image/png;base64,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" width="576" /></p>
<p>To get the actual average probability of being happy given stress, we have to get predicted probabilities for each person in the dataset, and average the results. In the resulting figure, the predicted average probability never gets as low as when simply backtransforming the predicted log odds based on only fixed effects. This highlights how these two appraoches are not equivalent.</p>
<pre class="r"><code>## data for predictions, must set both stress and UserID
predictdata <- as.data.table(expand.grid(
STRESS = seq(0, 10, by = .1),
UserID = unique(d$UserID)))
## generate predicted probabilities
## type = "response" indicates predictions on the response
## (i.e., probability) scale
predictdata$yhat <- predict(glmm2, newdata = predictdata,
type = "response",
re.form = NULL)
## calculate the average probability across participants
## by stress level
predictdataavg <- predictdata[, .(yhat = mean(yhat)), by = STRESS]
ggplot(predictdataavg, aes(STRESS, yhat)) +
geom_line(size = 1)</code></pre>
<p><img 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" width="576" /></p>
<p>One benefit of generating individual predictions is that we can plot the individual predicted probabilities to get a sense of the differences due to random effects. First, we do it on the logit scale, then on the probability scale.</p>
<pre class="r"><code>## plot the indivdiual curves
ggplot(predictdata, aes(STRESS, qlogis(yhat), group = UserID)) +
geom_line(alpha = .2) +
theme_bw() + ggtitle("logit scale")</code></pre>
<p><img 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" width="576" /></p>
<pre class="r"><code>ggplot(predictdata, aes(STRESS, yhat, group = UserID)) +
geom_line(alpha = .2) +
theme_bw() + ggtitle("probability scale")</code></pre>
<p><img 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