A Holographic Interpretation of Entanglement Entropy

‹#› ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/editdata.mso Content-Transfer-Encoding: base64 Content-Type: application/x-mso QWN0aXZlTWltZQAAAfAEAAAA/////wAAA/AJAAAAAAAlBAEAAAABAAAL8AQAAAASNFZ4 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0057.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Entanglement Entropy and Phase Transition
in AdS/CFT Correspondence

Tadashi Takay= anagi (IPMU)

Mainly based on the papers

T. Nishioka (Kyoto U.) and TT JHEP 0701:090, 2007

M. Fujita, T. Nishioka (Kyoto U.) = and TT　　JHEP 0809:016, 2008

Also I thank very much the collaborations with

S.Ryu (Berkeley), M. Rangamani, V. Hubeny（Durham),

M.Headrick (Stanford), A. Karch , E. Thompson (Washingto= n)

T. Azeyanagi, T. Hirata = (Kyoto U.)

Recent Developments in String/M Theory, = KIAS, 2008

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0002.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

①<= /span> Introduction

• &nbs= p; What is entanglement entropy (EE) ?

• = ; A measure how much a given quantum state is

• = ; quantum mechanically entangled.

•

• (A) It is universal in that it i= s well defined in any quantum

• = ; mechanical system.

•

• (B) In QFT, it = has the properties of

• = ; both entropy and correlation functions.

•

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0002_image001.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLAAOAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAq AA0AgAAAAGYAZgIshI+pe8EPYwtOWkvpyrz7D3JJSJbhZKapobbuC2tATKO0euVbpvej7AtWGAUA Ow== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•

<= span lang=3DJA style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PG= othic"; mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>

Entangled

Not Entangled

<= /p:recolorinfo>

The Simp= lest Example: two electrons

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image002.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC5VUTWgTQRR+M5Mm2W1i0k26CavgCiIpRdHi1YoWEQQVTRXEH9JAxGiTFloIeysW L+KhUgTx1qMHKb1Ijx5EvAh6kF5TG3rwUnMTRdd5M/u2TVCbLkz4vm/e93a+l2HXPrx7AeopOU0B BqKn5xkC0eLyBw6o3T65DE6IMxYgxn3fV+gYywdaf1iX4E1RciyJjkRT4ICPxZCW/I1Eq3K5DsBz IT1BTQIuTszeG/emK7IG4lL9wbUDn4hcR5nuneUOW+WIMnyTa4RaOaI14K8jWiOEdeVQux6lutGY 1r7C5bjWbKERaosG1bUN8rYNqls0qO50gjSNUJtPknc9Sd71JNXNJ3G2P3nm14ZKt4BD5REO6aJX K09NAhQOmg++b1jgvtxqDMnlHm83PifuCj0HpuYzYt7iWzG03vR26/clZ2b/3Y+r+X7b0ffTPmxx 26M8qQE6u0aoFS3KuGJRxhWL6ooW1flZ0jRCbcwm75JN3iWb6sbsHuYz+b/56Dw8zLOc7nlOg3uZ 05W8npPuO/cbtvsC9h2v1ioz7qVKw706VZuo73peQ/Ut8Yd5VFz5xAPFy3GlEL+jEm3z0djO/Sdi Oor7IwGvs/uKn3DpDQtMBG8g5SSgUqgOuTqN61Matqc03VMqiI82djhbJd60Ovl+ddvOhHzY1Pwv U+2+BfX3rV5vQYmfG8QWy1XiaxnkwyG/NoD8VcgvpJC/DfmjRKc/19/pfxbv9B/uQ34q5KZAfqNq Bt88U30X1WUBndVSZw2yzjHOedGbma3UQGAukI5D8FgZ8N9ubVrQPXOh/H8AfTtZ9d4FAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image003.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSQE0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgAt ASoAgwAAAEYKG1EKH1oJIW8IJ2gIJX8HK3oHKnQIKGEJI4QGLZUDMZkAM40FL4gGLpEEMAT/EMhJ q704680DUQsnMaRonmhqkYxKsW4szxhM33jVNKVo58DczzUMGo3Fo9LU47SWUOLsGa3SqNbsC6vh ar8TL0oMLq/M2uaGjI6yfe145S2/qbv19DQvp/NjdxlPfmFLhCMphzWITIYnimt/R4GLAIqQY4+J e5aaSpdCkkiHgxgCCwJzn4JnnoCMFqepL6uVtHaTr0CUF6WxCwwht0isqq5Snb/BxsS2hbjNKphr pLATAjwkDcNBbF6Q07de2Czbz9Gt3DLhkbo3ASQBcMnXCwsFDPio57vFzE6cuJy6ly/YLHbteqXj BCCAgwk7Jjx0tcBAGBZNDPi6gtHPRgAF/xY0SNUC2z1roZzxSzghwIEHJB4ckKeQHkiRJAGYLIAS h7eanE7xlBBRQshZACXAO3CNBNIDDA6i+dhgKL0C5hD6W7gSD4UCDxDMEoDggVVxFKqew9oTGlB1 yB4Q0FC2UZgHWygAg2vl4z++DLl2dXb011lGPwW7VawV0UsOMueNwKKmshm/gNmRSawYaIAHAphW OCDgAc1nnAFL/su3saWlHKCe3lqZMt7BVTDj1qwys10ABxDonCjBQSoEolFvVc1S9eYrBBgkoCDA gLAJCRjMZalx+uQJ+IQzr5Wa9Wrny22BliBgonH2t5X3bnset83xThwwmA1MIAPiyzWwAP8C8pRA 1gIAotRRRymVh99b6M2XDhbVGYDUfbrRxxuEvk2x1xzfXJdeAQrAxMIDChxGHxQZ3vdgZw7aNwyF DlioTovPIdOZiysyEciPHnUR5Bc4ekXNgj9goRYsbOFHxXrDFTdWfIilJ+MWSDahpFVUNNmjE0Cu MGQNY46RJS9VSvglh9aENFInO5nHTHBRSnRccmmyuaaeWLiZU5xXrvFhXnOIqKYlZZ7pWp478tjc SgPhE9I+cg7zWWgWkGaaMTHuCWMFkeZjz4WOMqEfqXfAk6Ce3xmpR6mdPtpWNgw0MNuefVJK3Umc WlmqrDzSamulTETnHXtOUTCAdkldIED/sr6yuGKsrgIG0wK34loBWGKxV5aKyXS6YWfXZtvYfgzg iREFsjUL4rqHkhdtODn+QmqgLrpkokzZMirnuHLKwmojj20QmbvSXObpi8f8Bqxd0yzKML5ehaUB AVRWu0kZLfoKsMM3BrTxRUmAjDCD8wiFQWH1ZcLxwhp+jPBFxCaFyTcU1ywYFYRgsWpx/carsQsJ wGSxzSPTIrOsLXChVccQUqYjyFLPvFjSMTyLkXhe3azQ0kM3rXPXLs/oTn08m3x12TIoMFcAGhla Ezhzn221X0/D/E3JaqcHb8tX2B3Ddq0KiSaHKCfcMKJJHg6m46ylPfXMkhsuyiQKPE43bzNg91Y5 3z5CHnLOY69UteWXA5HdAIv7PTHDOJPeuuev5xw7zKnnYMDPn/QAuiG+i05k4mAsmHsZAch9/PLM N+/8BArc+/z01FdvBgLHWq/99twbkYBVGHcv/vjkb3BKR3iWr/762/eHUfbsx998BAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image004.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6VUTWgTQRR+M5s0zW5qfrf5QXHUKrbiX9WjBxWKFqzS9CIiWDXigrFC2oYVlKAX KR5y8qAgePDgQUQERfAQRLwphUK9FkQ82mJF8C/um7cvutEg6MLA933ve29m3hv29csXN0B/jcKC hCii7UMCgTEvAUKwUkfD3opKRlIIHwnZbDY12iJyvma1fDG5IBuFlIc2dMWhAE00QwJ389Ajb9UK ANc9v+V7YnBwfPLMmHu+BFCHbk/9LCkDv5C3NguqnZEXoM9AlJZDkhBqr0KkHRdrw6QxQh9FM3IY KhHSpiUh1B53c64d5VxC6KMo+h5YrBFC7WOMc4s9nEsIfRRF3+04a4RQe5vg3H1JziWEPoqiby7N GiHUsjbnTtmcO2WzL2vj/L7I9Lc3uoN1HJwMSUgU3fKJibMAq5PmTN9SCtTd99V+b6ltS9VL2dMD 1GuhZzBoPhUPuzD1qPu3euvS5o7O9aSe4eIvdZ/1YoljLp39lLiTo7PvF/M5nr8KzF/48z/sOcg7 K1blg29jVqzPU2wUruRJY4SaU6B71L7Dz3sA3mPMKZcqaqRUVaMT5fFzHe5h+PeQ/j0a4mYeSwy6 UZ9/6EWHUmorO4b1TZVifsAKcitCnCt89XahCqzs1LtudJx+Or1q/tvpeQqGf/qr8paNJfY6f+hK +2u5ttxxur93JZ/BEvcc5idTyJ+3+Ls48vst7q5AvqnFP1nB+C4zmP8kEqxfDyPf3eLTBvIjTnu/ xH/262ISK+xxmF/uof4xPxSluOn/10z979NjAjpLStfye1wTUsqiW5kslWEA9wUvYw3M6AR8BYnl FLT32ND5PwBdmbf7wgUAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image005.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhWQEoAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQAAABR ASMAgwAAAEYKG1EKH1oJIX8HK3oHKmgIJWEJI28IJ3QIKJkAM5EEMI0FL4gGLpUDMYQGLQT/EMhJ q704682rUl0ojmRpnmiqZt/qvvDaxnRt37g653xv7r6gcEhkgYrIITDJbDpRy6dUdvSIqjzsRkvj snxeTPg6Tn3O6PMUFwWEA4sApRwLc+k6sQXv8sLlczp8JYNrXV5hDAoNVj12F4WEenuOF4qMjSdt Mk+RgYKQFwRnBZ9Zk5k1j5SnFaMfpaY/nh20NrZuVKEVBgqjowYTuCSrqV2osjdavb8KwcJmw18i ApgMDBTXEg0CxFCgrBPMucDQKAYNZw3Pxubhx7vvJOjq7LLjIOXuhJ4C2BqFDDgYIEHbBIMHHNjj UMUBAWFpJoySIM0NIgq9EFCU0OsZLn8N/w5MONCAQbdk+1C+KNauA0iREkiazJRxI4COKUdsylBA I8AJAh58eEAQowNqCq9MCKAgFgABH04CKKDgZMU2WLi5C4DJloCkFgRKzRWvZR9kKjd8XcjRwdgq Wm0C4JqTDIk4PyUEcJAG5lMFRUMcqBoCi4IFc7DwTVv4Itq6GxgYYAsAgYF/cs2ShSePMQbJlC1j 3qwZ184L/rZILCBngCLE20aHYICJYeLbED0zdFxWd1hG1SpoXQd5zDDjjyFjQPe09rZuxDMzNh2p p2oJTv8eGaAgAQUBBI5KAC9+QgLCtnOrpwhbOjHend1vCDm+dlySxaf90F96BP3mE9xXG/9Lmm0R CV55QQIbVYEBsMAOD2rBXXb8jeLXDr1455sRvU2n03cNcPVWfvx9mBxp8SFTjYimEFgghyGkliAk Giqyh2FaMCUbWgw4kIAcLQSQgAPOuZfGkbj1dyJaOLW4JIpKnVhGIcs4k4mLG94ognUzVpDQemBG cVpOBjwQ4QcLPEDZcfApWRiILLoDFyCbBZdlipuF6I6dyr2zYlxyYdknjB0gWCIF/1mkJZgU8TEl HtR12Gch//EpoDtNHtFklkdGhKmVZG06aIAwWXoSfvJB+SIkg8jIaBgIPMSoorOOmWqj6fEj6a2q LgdckcOxgwU+AOiz6q6kEWtslszx+Rz/ANH1SgcttmLn00Y7hDGArAcpQCeute6ILK1ddopGkh4e qgFoF0w2WpXNUNbrdb0x4wuoeFrAbliXpTWtroV+q54XAmRHEIMe4FgBd9x2mTC9ALuZL2pg8eIW SlR90PCdEmN3xsajflexUSOOa0u1rj4MZcEUFIANVBqOF5XM6EmAAGC1ZABVzeMaiCxyJLw0Uklj qZqOuLw6XNfR6mogdExEmzXlLB1wySqUZ56hYUmJzXDuQUU2jeSTPuMJdAn0fBCtSn80nWt8bZPt az27Th2xBobeyIUiR54ElV8dcFe02zlD0WbhbEiiiuLKMP5eH7SIJcIC8vYM8d0hH2uG0uMwUJuD 51TrgrYDgGMwAOUmahKN5Waf5Q1EanzzOuuXI+4pQBWt4CwGgL4puyaH1z7rfqnL+bvvV+dR/GbT 5m4Ix5oTCv0jznuihWHHI25F7tZfWfbzrhNvOO35VT97oJsvDw335zP/PfjKiw/8EpGsYn6UXV+l vk3s4w/7Tl+DX/zaNwv67e926UOe8bInPASqzn+ZsUPsBEjBBypwgQN8G2mkUb949O+CG6ygCBcH whByAoTYY6C6UphADUZwhDCUQuwmiISxJWGG1WKDA9cQAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image006.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAa ABoAgQAAAAAAAABmAAECAwJNhI+hi+2nhJzstTgztVB7GljBR0rhVZZnl6pJm54j7AIzTWJ4fu+e 7tMAgyDir2cUDI0hZFCWNLGY0yfK6nDGOMvPiqs1fTmGhVlhKQAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image007.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwA2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAJ ADMAgQAAAAAAAP8AAAECAwJJhBOml8sOghBNSepujXPW61kdxo0Y2CVoiIxIA27xMouhTR4pveNy r7sFcyVibfgTFpNG4JKnPD590GbUKc1it9eu9csM016NAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image008.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIwAOAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAh AAsAgAAAAAD//wIjhI+pGLEPV3Ns2ovzrLr7ZnxiB4zmiWZlOoasF8XPJteVUgAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image009.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAa ABoAgQAAAAAAAABmAAECAwJOhI8Qu+nPhJTsuTVzDvYEDU4NFJbUZZoc8qUq66ZrG5dzLdN4iO22 7tsAg5QhsUcUJjUco6+5PBmctZViaZ0eSbtsAinreKgj8ZiBthQAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image010.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAa ABoAgQAAAAAAAABmAAECAwJPhI+hiu23hJTrOTVzZhYEDW7WF5ZCcJkqCqlr4r5e7KIkXdq4ie48 4DMBg6EbcaI7ImdKCrOZVLKexCl1Z73istoV14CJfRvh4vixSHMeBQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image011.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwA2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAJ ADQAgQAAAAAAAP8AAAECAwJHhBGnuBbZgoBKUifmkvlyjWUgInahmHwoWXbP957eesAVLd9mjbOj P9vleEKg7mcjInvJodOoDC6LTeizimVqqdupV+p5QQoAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image012.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAa ABoAgQAAAAAAAABmAAECAwJQhI+hiu23hJTrOTVzZhYEDW7WF5ZCcJkqCqku67mrQcomWtshrt9x v/sBQbnhpmg8IYe85KTpPNGisKUOJgRip8yLtbRN2DgdDDhcXqjRhgIAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image013.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAa ABoAgQAAAAAAAABmAAECAwJOhI+hG+gPlphUKOhU3fTiwIUdBIpmk5kqapSqyLov3M5rbZ9yzmk8 vPt1gkILUegrVhpHHlM5ikAnMSgLh0xlH8nZlev9krpDjJmxMBcAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image014.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwA2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAJ ADMAgQAAAAAAAP8AAAECAwJHhBGnkWrsnmgniOksXnej7mkXJY4fiJWmOjIiJJlVR52eXb+cHN/6 zMPtfLRhrggkBn+94xLZNEqTTqW1ip1GqVoh9/twNQoAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image015.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAa ABoAgQAAAAAAAABmAAECAwJPhI+hG+gPlphUKPhC3fRixYVTk4mmVZ4iaWjqergvHM0mKdscqK95 X+EBN8Jh52csGlFIYKPZey5HsSWrlUzproktBqvyfCPKEXfcYogfBQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image016.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIwAOAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAh AAwAgAAAAAD//wIjhI+pGOvvQoP0Scmu3rzr44XiB4zmiaaqaqxnBYNXTGN0vRQAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image017.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAa ABoAgQAAAAAAAABmAAECAwJPhH+hu+ivhJxTPUgzDddEDQocFpYjEpTqCaTq6r3v6Mohba91Dn58 v/ttgkKJr1ghFjnKHxNZSUBFUiSrZSXxrlUbF9VMdhxHo2V8YZw7BQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image018.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwA2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAJ ADMAgQAAAAAAAP8AAAECAwJHhBGnkWrsnmgniOksXnej7mkXJY4fiJWmOjIiJJlVR52eXb+cHN/6 zMPtfLRhrggkBn+94xLZNEqTTqW1ip1GqVoh9/twNQoAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image019.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAa ABoAgQAAAAAAAABmAAECAwJPhH+hu+ivhJxTPUgzDddEDQocFpYjEpTqCaTq6r3v6Mpma691Dn58 v/ttgkKJr1ghFjnKHxO5iUFPTRurCnNge51ttNPaWsAJYoMMYbAeBQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image020.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwA2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAK ADMAgQAAAAAAAP8AAAECAwJQhINhG+Ki2IMLtBfPzHbX63AgJWGfV4anmZIa+6qtiMZuB+OyTedj v9PdfqsgcVYc1oRApW955CUjiQ1CKBtlJ7soc1rBcV5jcfhQRp/ViwIAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image021.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBwYFFgYuQEsQoiGBmADGZWRgYGJgYZsCwrEHMywVhMjIxQFiPT//// wSw9RgmoGDdcHQ+TApMDixCQpcbGzyDF8B+kmEEAyD8AZC0D8VgYGI4BDeOGquFh8E0syQipLEhl YAgA2/2bqeEfxIUTQJYysDAxCIRk5qYWK/illisE5ecm5jF0rHxfPhGIFQw+lm8STZMGGsqgC1TN AaSNuBoYXZhBWg0qYfwPTCC+ApyvwQDiB1dC7FP4T559jCDPMHyA2/uAkRkcTo6VWPzBBDI3uDI3 KT+HgWGHCJfrl49COP0BMZcR7h8tsPttK7mgocYFDlmwc6FhJgRWC7WrgZGJiSm4srgkNZdBGmQu A1CHIkMXWAOIEPgixIDuB2awfgB/Q35oIAIAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image022.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSAAoAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUACgA/ ABkAgwAAAHAKC4IKCpIJCp8JCrYICasICcoHCNsGB9IHB8AICOoFBf8AAPgDA+IGBvEEBAT1EICy GFsnCCa7/2AoigJiIYO3NIYkJBY3zjRtMIVksBLcejdZbUjc5DoDRqoh9DiaxKjI8QAtqpbUhwCV el2MA6jAIMAaAlD3Kz2UQckEoBJm20NP7ecicTMaCneCABYihRIBMH+BgjGOj4cdkXtQiRZog16T HpuIT5iZRJ0SoxJPCKFETwEgG6shSQ2pQ256SGEMP2prQ5C+UFyMHgpKDA6GC3uzIQ9VH1eEDMId xATKyx9JugBcKTEO1gABxGKchNgfOz8FPIQBAQVPfyhq5+geA3QIaV8cvPd2hPwDqEkSwVCPDg6C MlAhDYYO+8WQNDGihAgAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image023.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYFNgYuQEsTZEMTIAGcxijAwMTAwyYFlWIOZkgrGYGBmhLEam//// g1l6jBJQMW64Oh4mBaYGNiEgS42Nn0GK4T9IMYMAkH8AyFoGxA5sDAzHgIZxQ9XwMPgmlmSEVBak MjAEgO3+zdTwD+LCCSBLGViYGARCMnNTixX8UssVgvJzE/MYOla+L58IxAoGH8v3CaWxswDV6QJV cwBpI64GxjpWkFajShhfBcxXqOSE8l2YmYGsnPz0VJiKD0xgFfkwvgYDiB+cD3GRwn/yXMTIAKI/ wF32gJEZHJKO+Vh8ygQyN7gyNyk/h4HhnyCX3pePQjh9CjGXEe5jLbD7bfO5oOHKBQ57sHOhoSoE Vgu1q4GRiYkpuLK4JDWXgR1kLgNQhyJDF1gDiBD4IsSA7gdmsH4ApbAmfUICAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0107_image024.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhbgAnAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUACQBk ABoAgwAAAHAKC4IKCpIJCp8JCrYICasICdsGB8oHCNIHB8AICP8AAOoFBeIGBvEEBPgDAwT/EMhJ q70421DO0mAoAgWzLAwSCN/oao1zvrQ0HM/yHAPFPAaJIHFq1Y6SwAwpMhSfCQkxSHEambUlNqM8 CCSExqkAyF3E26M2bUmQK2IH4NSrEK5s0To/OVxYH0QPXxV4fBp7hxkLcgAmCwiKaoYkjwwKFwky DwkBLwtREggnD5iSLokMnQABCjqErA8MngM5RSF3nhMBRDqmSE/BwRh7DH5VOn0LugBOkSINvxS8 pLCnxFdO1hIepnvJIQMNGgFig9eLV2gWd43flBbHIGLy6IVXiRJLU7sL4yDPJiy7MACcvXsUTjBL aORHjwA/tll4k5CKhXwhhGmEt8aExYTypQQ42JRAYoU6hf5dZFDo4BpXKiewoCLgAcpwF1wtkCbB FYGW9vbIoCiFpQQxJglaGKCqSIOfrFwF1DcHnU5pNXd6CoDAqARbwkL52LggFwcxOnhcrHpKWAUE MlAQbQY2mFhHZBuhYnuQBoG7Qoi0Fdj3RYBzF+BtMaK4sIV1GwDnGeZYz4KbEySzwdO4sgQrCGAR CD04oecQXB/t+MjnicBbpw9GAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0150.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Various Applications

・Quantum Information and Quantum Computing

= ; EE =3D the amount of quantum information

= ; (i.e. a quantum version of Shannon’s entropy)

・Condensed matter physics

EE =3D how much difficult to perform a computer simulation

= ; This gets divergent at phase transition point !

= ; A new quantum order parameter !

= ; (`Wilson-loops for cond-mat people’)

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0150_image025.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhMQAlAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAu ACIAgQAAAAAAAAAAZv8AAAKIhI+pe8EP4wpU2ouCEA7SD4biGG5ct5jqyrauWinvTL/xUef6hgL7 b+sBh6YbjgjsZUjMJqioxEgzp6l1Er1es9qu9wsOi8fksvmMFnPTyzU7MBgYFc46Mx5fw/H8vv8P mJe1F1ho6DdHeLh42KPICInoGEnZF/VYuThnYNcZgrf5lsfG8MFQAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

<= /p:recolorinfo>

１

Log 2

<= /p:recolorinfo>

Applicat= ion to Quantum Phase Transition

= ;

A phase transition occurs in the quantum Ising model

at zero temperature when we change= the magnetic field.

= ; &n= bsp; = ; &n= bsp; = ; &n= bsp; [02’ Vidal et.al.]

= ; &n= bsp; = ; &n= bsp; = ; &n= bsp;

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image026.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjA4wJ/AwsAJYm0MZQQxmHmZGBiYGGTAsqxAzMkEYzExMkJZjEz///8H s/QYJaBi3HB1PEwJLAf4hYAsNTZ+BimG/yDFDAIg24CspUDcwA9UyQLUA1XDw+CbWJIRUlmQysDw AGz3b6YDfyEunACylImFiUEguDI3KT+HgSFcguvEl49CDB0r35dPBGIFg4/lyaJp64EGMugCVXMA aSOun0yrOUFan1bC+K+ZIXyI+Qr/cZkfIMHljtt8RgYQ/QFuDwNzOx/ICG2ouQ3/8Lj7JD53Q8xl hJq7gGkVO8gI3UoYX4AZlf8EHB+2GP4BiYLsDcnMTS1W8EstVwjKz03MI9I//Cz2XCAT8qD2fGE0 APuvqhLmX04+VPlZPKjyxTzI8vws9Syo6m+xgfgVcPWb2SDy6OFHmj8ww8+NAWSCB7b4piB8GJh/ gf1viM296PF9mpT4/ggOt2J4/EZzo/J3cID4OXD+bFaIPBc0F3GBcxrYe9A8JAQ2G+rnBkYmJqbg yuKS1FyG9SB3MAB1KDJ0gTWACIEvQgzofmYG6wcAfB2ANTAEAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image027.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh9QBJAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQAGADq ACwAgwAAAAsKNwsJPQwKMAYFXgsJQgkHUgoIRwgHVQcGWwkITgcGWAoISwUEYAAAZgMDYwT/EMhJ q704a9qc/2AoOltpnijQjayYvnAsz1vwOARaEB7tzzacjkf6GY9ImcCTQ91mPUA0qVkKncVYSLZF GUJNwLdLzRw8CG+Wu6YGEo505RxXQyXtVDFv6jQEFh0PgGUbYwonSz58R0EeAxaHiYwolJUyPAcX mYUmCB6aJpainSqIAQ6EFZ8OoSWjG7CvUA8YU6UaRAG4E7IxBwsTCaoVury+GsgWBQ7By828JYK7 uCTKmNQX06VZ173fL5+uFOLRNTdhvws3Ig1SeN4pihlB6TDA7CErH2brI/u3TtyAFMgBQXMZrNhD AaeFAYQAbNSqwkRGQxYPS1wckVEGqoUR/69caAEiCR05KXgsKCBBAUqIEjokKHEShkqWAFy+uNny pQ8FJB0ggqlBEkMHDCgMcIATpkpnhjwMPQEn6YSlTTUiVcr0CI9sFL4S3cBqnIYzMys4SAvxk4K3 J8qeQGth7Vy7atnSWOrOwtKJR4IGxEDkYC4HYOHBEEwJaBq4JwqbEKvWF2UKg3/VsXDG51gMDUCO 7MtVdKEzTYalCH3CAemrImO9lrDUdIoFXS3gzlpXcCcChhPipQB0Ki8bpFWjAG5iid6WQpsPn1Dc SGYp8aIpL+HcwgPAvAZ8z2YwZmIL2zd0r/B90nMA7blMOAOVAv3PhqwKBA9gN0IeWW2FwP97FRig nwnxTeDffhUsuFgRA3RQH20S4meGZxvQB4kACTzAWym4mcXOA+fZh+FZzWzY4YcoLqCihzSQkI8H Tc2Ym4UTvBHDDkwY18se2VnwiWdAEVBijgSWwCMOPiqG3TJEENBkFAHlESSOANj2gzXvYJllNe/E w2UbVnoZg5HV7OElmtyo+SAeatVlZjhmVaEFOBYiUGdCd8K5GDgj4DknTSdeYEOfXeJ3QKEWHPqn ny90E+ekg9ag5SpJJiPoWAFcSk6mGUj6aKKbklopaCmgMiEpTn42Ww3QRPrjqFVWdiVMCRxpgQAG 3NDkqRnkmkiv0QFrrCeMjXDgsRewkixvCMsyK60EdDwLAjHTzmdtCNhme6wV236g67fhgjCut3MG h+4M6q7r7rvwxivvvPTWa++9+Oar77789uvvvwAHHCmQAVN5q8DchCnwmAgbS+XCbjZcqagAUyzx nBb7m/HFOG7Mr8cc49fNwdOObG8EADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image028.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgCOAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAG AIkAgAAAADMzAAJKBBJmqMjnoEtQ1UZXvtq+jnnbx5XkOabiGrbga6puzMJoTc+3Ltt97sPtgjzh bwhMIpfHpvFZjBKnSqe0CqUys9jr1mvVhrtiaAEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image029.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHwEKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAb AQYAgAAAADMzAAJChI+py+0Po5y02ouz3ibwD4biSJYmGaTnyrZuk8byTNf2jef6zvf+DwwKh8Si 8YhMKpfCl/MJjTJi0qr1is0uPIcCADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image030.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wKjAxMQJYl2OZWQAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYFpgeMQkCWGhs/gxTDf5BiBgEg/wCQtQyIFwANOgbE3FA1PAy+iSUZIZUFqQwM AWC7fzMp/Ie4cALYVhYmBoGQzNzUYgW/1HKFoPzcxDyGjpXvyycCsYLBx/II0bR6FqA6XaBiDiBt xPWAURms07ESYl7DP/LMY2QA0R/g5jYwOjCATAiu5IK6ngvsQ0aw6RC7hMBqQXYBiQZGJiam4Mri ktRchnqQuQxAHYoMXRANQCDwRYgB5naIXYwMzGAZANrvWUOoAQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image031.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIAAnAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQACQAY ABkAgwAAAFEKH0YKG1oJIXQIKGgIJXoHKn8HK28IJ2EJI5EEMJkAM4QGLZUDMY0FL4gGLgSFEEhJ 1FqsgNKm/5LTaEDAXA+oGsvwHYuhgs0CCgsyf1cAtjuPxfELehAXonFHuCh8SxVn0UhEVYHagnT1 BBwX19IGsjCWA/Inrd4V2p7Lsin24M4720npYdV/Ng9JVgACLFxFNlsbDDUNDH+JXTwScF1kllEX m5OVcZ0AbZlBcKMqm5ibEQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image032.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBIYDzAyMQJYm2OY2QAMpjnAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqYDjAmMQkCWGhs/gxTDf5BiBgEg/wCQdQyIFYAGtQExN1QND4NvYklGSGVBKgOD Adju30wN/yAunACylYmFiUEguDI3KT8HKCLCNfXLRyGGjpXvyycCsYLBx/J6iTRtFqBqXaBiDiBt xJXAaMIAcm9OJRfUFi6wSxjBpkLsEAKrBdkBJBoYmZiYgiuLS1JzGRhA5jEAdSgydIE1gHQKfBFi gNjBCKY/AGWYwfoB96AGI1ABAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image033.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGAAgAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgAQ ABIAgwAAAEYKG1EKH1oJIXoHKnQIKH8HK2EJI2gIJZUDMY0FL5kAM4QGLYgGLpEEMAECAwRXEMgp SUqDaqmWZxtVKAFgNOHkTAOaau2rHaA8KYXNLblteBkZYXEKphALBSAhOyQli5fgUgqsQoGLQBIL dYxdgGML6CAog0TpJPn1WJ5FYvszhBqLBjkCADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image034.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAQF1AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQD8 AHIAgAAAAAAAAAL/hI+py+0Powyy2ouz3rz7f1HgSJbmiaaTyrbuC6NiTNf2rQazqM/4DwwKDT1F cYhMKlNHRHMJjUorz0N1is1KrwCu9gv+cb3hsrnV3OnO7DYrbV275/QPPO6r6/eQO1HOFyiY4NcF OIjIV0iW2FhGxugomcUYOXm5VHmIybm1SfjZKYr0lGc5ikpTahSa6qp6mGco+1r7sgpKa7srsyl7 yhvMUUULLHxscWqMzPyg3NocPQGdK20dQu2Ufc39p8v63d199b0sfkzeYH4enK6+zY7szrAeXzu/ 0BNuLzzmDM/PVj19Aa3Vm1VQ2kGECZktJNiwX6t9eChG5OTFojeN/xclZUwGsKOjj1QWitRDsmTI k4JSquTIco/JfBBjTppJE6dNLTrB1dzZciU2fUKBUoIG8x3Rn0bPQBqxNGrPpmioJZ0mNWtRqjms VtUKVirXrw6u2gmLNm3UsX28klILN65csdymJpmLN6/cUUx36f2ble/Wi3AFm2Wbyu7OpdqYEs1V 6nHjyD8ZT5ZDt2IsyRt9cZ5Fmdhny5p9kAbtufLozwwxbjuMOChF2LEVva597zbuxPBo756j+Heg 4MJREi9O5zhy4AB9LwfTl97zmyGdTz/K0fp1TzC1b4eyzPv3u8rHfylvHnt63oPXJ2/v3k30PvHb zKdf38x9/Pmhm4EU398bMwEYYC8DFogFawgOt9+CzKHnIA4KRlhHgxgQSOGFFl6YoRgbcthhDaeR gGGIZX2oQYkm+gRfBCqu2NmLMH4F4YxMTGgjTyPmqCOOaPCY4o4xyJhfZhICiRWKPyKplI83EHmd VuAxGRaTb6llJQiAFZYliVsG1qWBf4VJQwEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image035.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC5WSsUoDQRCGZyaJmEvAcAlExOJsrIwEn8BSCwVNGgvBCCcKXiIkcJzVlUEIaJsH CPoEYneVVta+QSw1kErBc3Z2L4jRIgez/Lv3z7f/7t3L82Mf5AkzEUFWqb0DVCJ1iDzAsrzNcGUp UYRoFFIcx6LWcdGs5Sa+PEUUZmxWq3MLsASxMkOB5xGre65NtvnszxlPHnYandN6cOFyIpjn1Q/S HepJc1VQs0u0DQNRRTrCLbOWqCL5NJj4upT4hpT4hpT4uqTO+Enhl97lGmUvgkL9zHPbzq7rO/st r9GE7t2bf8PlVEf+U/mkp/Og5NywIgzTqrUa/MEjxasF3nHrHKBfttbGI/sfHsk5339w6ymFeDBc J064OGNOzSXDLeGrEC4DPXcoknlzKj9O56/Mkv8WFLcdWOYrW/InyDWD3ssWr7mrEImoFrQ7rgc9 xQXuWIEraVBDYWzD7zOlpP8blodNQtACAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image036.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRQAlAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABAA9 AB0AgwAAAFEKH0YKG1oJIXQIKHoHKn8HK28IJ2gIJZkAM5UDMZEEMI0FL4QGLQECAwECAwT/EEiQ pr341sy7p1+4hSQ3liaqTudqte4Hx3Ocqkmu2WTtVTAfTyLszIokgkJReLlqyE9BERAsDMRnFhNd ZASJJuCQGIAyBEZunQuwM0gCIVMoSwYJLCywYLO9MiGAGGoCLAxnFgoJDQESDI4lQX5vLydrGAYJ cxMHCoaSHoNclzoWYKMAeAcoPnJGpS1kYhMEm60dqRdqL4gntpwTfZEipJSmE5pmqnmJAAhhFrO4 HLoXbpxkji0MCggAAnW0PRwE31KfAUxbFgaLCg3LREBQX9Z0CQrBziJAcEM/cLBzAvBGKH4DCxIk hzChQhYHkUF8+K9gFB4XA1HkojCjDY8VBDdKiAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image037.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC5WSMUvDQBTH33ttxaYFS1pExCEubkpx0kFw1EFB28VBsEJEwbRCCyGdMhYnXf0A RT+BawZxc3LwG9RRA50UjO/eXYpYHRp4x/8u//e7/13y8vR4A/KEuYggr9TeASqROUQeYEHe5rjy lCpCNAopSRJRKzhn1gojX5EiCnM2q6WpGZiHRJmhxPOI1T3XJtt89heMpwg7jc5pPbhwORFM8+oH 6Q71ZLmWUbMrtA19UWU6wi2zlqoy+dQf+XqU+gaU+gaU+nqkzvhJ4Zfe5QplL4JS/cxz286u6zv7 La/RhN7dm3/N5VRj/7lyEus8KDlXrQi7WdVaDf7gkeLVAu+4dQ7wMGutDWP7Hx7JOd9/cOsZhdgw XCdJuThhTs0lw63gqxC6gZ47FMm8OZYfx/OvT5L/FhS3HVjmK1vyJ8g1g97LFq+5qxCJqBa0O64H seICdyzCpTSooTS04feZMtL/DVWLbq/QAgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image038.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRgAlAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABAA9 AB0AgwAAAFEKH0YKG1oJIXQIKHoHKn8HK28IJ2gIJZkAM5UDMZEEMI0FL4QGLQECAwECAwTuEEiZ pr3Y1sy7p9+3hWQ3ltmJruo6tW4Iu3PM1Wai4rYWV7uerNfikQgKRcH3uwkBBUVAsDC8moCiUJBY Ag6JQbZDYOjOugA61SuEJYOEFRZYoNGLoc0seDHGGAoJDQESDIUlO3drGidnGQYJBBYHCn2JNjqN LVx5FnEHKEYpjpoXYF4TBJKie45/KquTFnaIei+LjxaRYgBxcxcIXZTDmDZqs2CFLQwKCAACbqkk oxxRAgFKVxcGggoNvRRAMNUdbgqzICxAbE9OLOoX5TTwgEzu79Tx9/gY5Rum+PWTh29epoIDTSBM mO8gwwkRAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image039.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhMwAPAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAAAu AAsAgAAAAAAAAAImhI+pyx0Nowu0yjurxtzo33XfFl4jWR6Ucq4p04IvFM/caM9W3hUAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image040.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC51SPUsDQRCdnb2YyxkwnEFEFE4EJYgiFjY2sbTQwkTFLlHOD8jlhATO664UEdFO /Af+A8EmlU2wjmX+gQZSKXjO7t6liBEkC3O82Z03b97etl5fHkCuQG9zlhLofJcBAX7D6APT8jRB kcIYIWMRYhiGoUTLbDLaG+3VpbHNA90kND8yBlMQimLIUN4g9ESR1wHuOXGimjRsleunRf/cphqg Q/hExRBLo1hiqncWAQ+4QOOE1rV4L5eM93K6mP0Lg2/FvpVTawiZ4plj16xt27N2XKdchcvHd++O wlrpeG/Z46bSYVJ/1bjmm0nBLPsqr7IaF/lRlJcwDyIv+ErPCofTQ+nvo6fbwDnZYcMf4ANF34Lv HLoVgJkJY6/bMf/0ofoixPMvSj8Xv/rCkPOmontgCfqVUHFP7PjmHHlTa+4ApX4H+/93UEJPEy1a bpwvoMifXSN6R4Z8a9IQKG1TciPtgCFiwa/VbQeaQgeIMQtXkiCeb6ZrQr9LLvk/UYbidjIDAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0109_image041.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhhQBBAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwB7 ADQAgwAAAAs9Cgs3CgwwCwdYBwhVBwlOCAlSCAZeBQpGCQtCCgpKCQdbBgBmAAVgBANjAwT/EMhJ q704682710TxjWRpnh9hSAHRCGgsz3QjHU0j0nzvZweEA1EI/I7IXmKXbDpNA8TTZ3A0HIopafAQ CIKNhbYkcDgSAO54dLA2Hsx1hyuVFGzyjYCAzpcYLxMPB34ZS4UlCTqIHApxjB0uWZAZDpQjD3iX FguEmx05nxYMK6IbVgMTCZYeAwsuSAwIqa0FmQ4rCg9jBg0EEgsOMB4Mbki9OckPfRZ0RgDIDGsG t6UkoUi2yTmsFi7PEr2ephnYUwfSF+YTYeQa604HYuoN4BL17uWaTsEZLt33yDiAY2EfEngDtMGh RaGAlYUYuCQTlkFApjonJOZ4AC5Buibr/yyW0vVgUpoHswAEyJSsgkQE1ipm6nKizYABOBocSOVg XJJ1uCgIeEPLBUNFj05YfDOMBAOTupQx/KlpQaCGOu8ZfMNj6a4SBgHcocijV0ytExCEDXAFLQV4 MZYm7VCGYIWwJ1re1QQXALY7zAY0+AjWgqKvIzS+6UiY3bbH2yqYLcgXrzkEHNNgbuoXsuccbOmV sIkzx84BPZ+Ys2KS3ccyDwtwJmFVHcaCGJ5OiLpx6kFNOB4N7WPRXgwcPgFYZbYXQ9ixs39TyGSv ygRA0U8A0jHM6ly/4MkpasCMZJ8FNCWwfMzAt4fMC9Q2QMD8bnhRkCfsuVVgaoL12zR2UNdA+ZCQ QHKu4PUDHgoWiIECDbgHAEC/6eVgB5lccKBq7DyxwHZNAHLGUQ9I2MM+Dc6gCwILGHeEQwEWAZI5 FlJB3oU4AnNjjheydRaP7ggBZI8NGFDFG8mJEoCIgkUoyh0MGDGAC7d9goMYZcxniloVWPEjJIBd lxV+BllVJSQQxoGdKfAMlWIeA1XwAGKfZNjcJkhRwNZ3jABinJab+EkBIPVdoohPgn1ZyDrjpUFO nBNQQ6Z+OEhzJiUWpWRVa5SoJUYCCpjFhzt75ECAi5BkSQAMZpoUAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0163.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•In this talk we are interested in applications to quantum

•gravity, especially string theory.

•

•Consider a holography in general spacetimes:

•

Quantum Gravity

Non-Gravitational

Theory on &nb= sp;

Dual=

<= /p:recolorinfo>

Always Q= uantum Mechanics !

<= span lang=3DJA style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PG= othic"; mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>

What are observables in general

quantum gravity ?

We can alwa= ys define the entanglement entropy

and think i= t as an important holographic observable

(or order parameter) of quantum gravity !

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0163_image042.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhjgE+AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACM ATwAggAAAAAAAAAA/wBmADNm/4AAgAECAwECAwP/WLrc/jDKSau9GIPNu/9gKI5kaQJCqq5s675w LM90bd93ce587//A4EgnLBqFgqNyyWzuBESndEoVRqtYYDLL7Xah3rDYeR2bOduzem0Cs99wTznO TdPvZzd+L57zpXZ/glR6g4Zkh1OBiYxIfo2QPI+RP4uUlySFmJsik5xtn6EgmqKhnqUhlqiYpKuY p64dqrGQrbSQsLezt4m2vIm5tLu/g77Eg8Gxw8d8xsx8ya7Lz3fO1HfRq9PXcNbccNmo299r3uRr 4SIBU+tO4+dm5vBm6SAB7U737vN/8vxh9TwEGICvycCCR979+xJw4ZSGGwYSZDdg4hKFDrH4y4gF /6JEi/kqEkQYBCNHRRBPKmn4ceS9lzBjypwZU2RFkpVUvtmoExGQljaDCh1KtOhNIyZ7XkypNEi6 e0ajSp0KUkvTPEyv+ggHlKrXrzifaB3Dc2yRbF2/qp0aFpRZL2XfAomWdq1do20zyWW4lwvau4Cj 5tXbV2PWwp181A18dzBhxCghU3nKuHLVnJIBHc7cod5iy1Idl0jKeUTc0ol/CqXJurXMoKJHo2Zy evYHljZjK86thLRtD7V/c/AoUnePj8YfCy+5GXVKicl3QKe9vEjw5UwPUoyuvLqP68Kz6pMynrp3 Lc1Lp88H6Dx69z/W94L/Xb5k+4Z8Vwf/G38x+o498Gebf4Lot5yAsxHYD4A8IOjcOQYK56B6EDL4 hIJ7YbhHhL9NyJmGeHBom4eZgViNhSeQeF+FKI5m4lgvxiHibCpCFmM3LbqYIwk37rSjaT0qFWQ5 P4pQI2JDqjEjakcWlmQeOEQp5ZRUVmmlDE+elGWR2HAJwpZeghOmHGM6lMGZaKap5ppsUlDmQgkA ADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0163_image043.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBghgWsDIxAlibI5lZAAymOeCBBlkwJKsQMzJBGMxMTJCWYxM////B7P0 GCWgYtxwdTxAMxmYhIAsNTZ+BimG/yDFDAJA/gEg6xgQHwAalAbE3FA1PAy+iSUZIZUFqQwMCmC7 fzM1/IM4cALYVhYmBoGQzNzUYgW/1HKFoPzcxDyGFavel28EYgWDj+X/FdK2sADV6QIVcwBpI64E RgcGkE7fSi6oLVxglzCCTYXYIQRWC7IDSDQwMjExBVcWl6TmMjCAzGMA6lBk6AJrAOkU+CLMALGD EUx/AMowg/UDAIGH99ZQAQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0163_image044.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGgAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABwAU AA0AgAAAAGYAZgIohBF5exmMYHtQSVspe3pH3zVGyElfR4Xix6rt6r5yJaLXgrGTM+55AQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0163_image045.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYwHSAkZkTxCqKZWQAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqCZC5iEgCw1Nn4GKYb/IMUMAkD+ASDrGBAnANW2AQ3jhqrhYfBNLMkIqSxIZWAw ANv9m6nhH8SFE8C2sjAxCIRk5qYWK/illisE5ecm5jGsWPW+fCMQKxh8LNeWSAtgAarTBSrmANJG XAmM7xhAOn0r0c0DeQVkXnBlblJ+DgPDfwWu7V8+CuMwj5EBRH9AMtcEbO62Si6o67nAPmQEmw6x SwisFmpXAyMTE1NwZXFJai5DAMhcBqAORYYuiAYgEPgizABzO8QuRgZmsAwAYRcFaKgBAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0163_image046.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIwAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwAd AA4AgwAAAAsKNwwKMAsJPQgHVQcGWAcGWwYFXgoISwkITgoIRwsJQgkHUgAAZgMDYwUEYAS1EEhA WitB2uaml4JjGdOxcRmAWJ9nHsKUKJPiEFJhDS0l0j2JTaMDehSVRivxaDwQAOWikGgkPgHDokFy OYCJFYCBWHVLAkYDOjE0eBNG5yEYNA6eAq+ZAii4HwoGAg8AAiwSCVeHhRNFHwRlDBoNGQMFEis4 EyItDQIFCxJNAwJ4OQ2iE4gTBDhKEm4JBn2so7BCHVNxHEZ/mB6aiQ4BppsAVceEDccTCE03IScS C6cATSd9EQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0163_image047.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKgAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAo AB8AgAAAAJkAMwJQhI+pu8EPY5ix1omd3SljDgJeFl6jVz4nmjbr13YvFctzbb/4MdO72PsZepod UQi8CY8/ZjMY8zlbRFit6rtWl9CnkqtDfsVj4xR31rKQiAIAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Definition of entanglement entropy

Divide a given quantum system into two parts A and B.

Then the total Hilbert space becomes factorized

We define the reduced density matrix for A by

taking trace over the Hilbert space of B .

<= span lang=3DJA style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PG= othic"; mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>

<= ![endif]>

Example: Spin Chain=

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image048.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBghgUmBi4gQxjOMYGYAM5pMgQQYZsCQrEHMywVhMjIxQFiPT////wSw9 RgmoGDdcHQ/QTAYmISBLjY2fQYrhP0gxgwCQfwDIWgbEB4AGHQNibqgaHgbfxJKMkMqCVAaGALDd v5kU/kMcOAFsKwsTg0BIZm5qsYJfarlCUH5uYh7DjiXvyw8CsYLBx/LF/Gl5LEB1ukDFHEDaiOsB ox1Yp2MlxLyGf0jmMYHMC67MTcrPYWDo5OfafuKJEA7zGBlA9Ae4uQ2Mbgwgc4squaCu5wL7kBFs OsQuIbBakF1AooGRiYkpuLK4JDWXIQ9kLgNQhyJDFyM0BhiePBNigLkdYhcjAzNYBgB2FHN8qAEA AA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image049.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGgAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMACgAT AAwAgAAAAAAAAAIihB8Zxw1plGuLwYloxTvjSH3V9YjLKXFlJ66fdr5e/EpKAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image050.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC5VRMUjDQBT999PGNC0YM4kIxsVJRRwFpXZwEHSwGR2sEKlgPG0DISCS2UlXZ3Hv 5lgXt86uToKTFroJxvuXu4rFDh587v2799+7f/+593QLcnWtKkKJ0I3PCBjbDABhVt4WRZRQI2RM IYZZlkm0zKbVWXnIq2AVu5Yr0II5CTOQERkcchPoXkRqAbwKsbLiVGCnETX95CwAOJDen5h+5S+8 JlMoIDj+cRi0vd0g9vZ42DiFh7v3+FGEt9KPL6eOOgXBWxJsIQ6rdsrmLCpdTHR+PkFP9DydNw3K /Vbu52Xaj/3LjwHtH6KoJHVf2L5pCBTxKLDUSa9AmjWu8w3psclHO6WvJ+d6Eh7yEwDXsdcGfXds p7kzG3Z8USTdFtf5FuT5Hz/6y8d07bfxPj8dat0aksQ6t9X8bDljOSg1PVdylVfKELGetKMghA7p gqiYh6u8QCxn4MJoT4a8+QbqEiMYqgIAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image051.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhiwApAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQACgCC ABgAgwAAAAAAAAMDAwsJCggHBwUEBAcGBwsKCgwKCwoICQkHCAkICAYFBQcGBgECAwECAwT/EMhJ q70428C791oojmRpnlggDBM3DUKAznRtmwHbyi9//8AgruKi+ITIpJJ4XDpFA0KBYzg8M8UKImGQ JaYKU3QaqF4rhoVkwFCdL1lKgaw4DAqMUnrdFrwlDAkUBxyCJR+IcSlNRgGGJoGDhW8NfhVtan87 WIwilRaYZwkBYRUNAZmaAIqNJ6OlFKepTm1WFVO2qqybkAG5E7hXCAEFFsMNqrxwnRnDxVoByFev Fgs5J4mIIrsS3BjUFdY6T7UVhI/J3t4X5ZLoS8O+gwywG1fqR9oU8b8H9G+jAuQBgGBBgXetnAzg MI5CwIarWjjkMLDgQSMhmFlQQMxWm4ACgGfZ03hD3w4Q3TBO+NiBgciIGkjGEljM2RCZyWDqJEgs Y5YOJ4dwRIglZc6YQCkM3dbNh1MTCZBNQXDI6FE4KiVMzSixK04KA5ARGjjiw9UUWccy3QnzqwQC mZaSeHrWXlcAcmNa1enWRr66RLJWleGUB+F7RZICNomjcL6+FCIAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image052.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC5WRMUjDUBCG7y5tNUnBNpOIw3NxECziLkQHcdHBFkQnK0QUjBEaCBmEzA7FubM4 ipM4KohOzq5OrlrpJhjfvbwELA72weP9f97dfe9yL8+PPVDLtV0Ck1V9C1kYTQQgmFa3ZblNyhUh aoWUpqlSDZzU3+wirkouubYj1WxlAqYg5WCoSX8n1SU7G+BNFrN1TBXW2+FBKz7xAHYV+4uS7+yF 5wyFEkGtdeh7HbHhRWIz8NvHcHvxHt3LLRb60U19v1uScfMyelyei1aC1xanNmJT+yvTkEoI4WUE keYEHImAwOdHQXrFsskVVkTuO2X2y8LUPkImh0HoDfeGI/aWkbHo8WmMK6wFuZ8r/farkPk//ikx txn7e8ERwI5jnQ76zj87TnC7wiUeCs4nsV8KLD1RS01djU7P01G5mp0gETXjTuj50GUOyIwZOMsS 5KoNHBju2VA3P0qPjL68AgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image053.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhoAApAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMACQCZ ABkAgwAAAAAAAAcGBwUEBAoICQsJCgkICAsKCgYFBQcGBgwKCwMDAwgHBwkHCAECAwECAwT/EMhJ q7046827JMIQBINQeGi6GWMbHBLrBqdqA7IL4zPtHYgEQSFREBKInSXX2jFHtVsmEVhEJ1SrdJu9 Srqow4CAIQyUFnBFvc0wAmTLO962zS/331kjRlPyFYB1FwMLGIWDN4iEhigIZHQVkAiHjRaLiRYH AQIXm52ZYZyeox5HH6AUQl9eAJ+kqaETBHAXDbWyHbSRE7e8GgJ0BwmqSiAWu7a4uRIIAUSXz8wc ztAVItYcA9nDX2gKAxbVhNLTCgGUmuhtPe0X5+kVm/EdAZoJCX4A9hTwpPS5aLVrYWDaBoEDAxRE wY/CsHwWGn5IOGLhNAEvLjjTZ5ACRo4b/1Nsc0gMAMQJ4Cp81JjRYJV3LztmiFnhnCUPwSYUKOlt Vqx9N1HSZEaLwYWiMssEMIpsqYqdqOTESXAFaVOmF31YwNhKBcUWW7WqFOsIUhkABAByvbDW4AKJ FN4mxSD3Ql0VffjsiQt3wl2ipSQFnjtrcOGfETGI+fVh7+GjhntsAWcYAOWffStkTnHZQueZm10F GVLkSJKaIhB/1jwhNAYEzmZY7EHH9T52slvPYGzPdoEQI0q06jF7NwWJtsUB9ABWQvN9Iwhj6C19 euvqt6Ffd46ddfbuuqNXb4icO/jtyTuWl84Pbvvzzl3A/04/6fvt9bGTn79+LnXy76XHTBJ/3RFo H4DICZhLc8+NN0MbEQAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image054.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXwALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABe AAkAgQAAAAAAAAD/AAECAwJ1hINhy5zaIkhS0touPvqIL0BYAIbbBCIbkp7sJ1Zk65WmbN+WHUcz veONcopfqbcwAjM5HZOIgwaPKKmviawJp1TuMtkMKWHR7dX6NKe76+OL3SZ75We1A1tOFdHtLBhe R+flN6Ek8qCy8nBS2CGz6AKpeFEAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image055.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhiAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACG AAEAgAAAAAAAAAIKjI+py+0Po5yyAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image056.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAJ AAkAgQAAAAAAAAD/AAECAwIUhINhJy0KgnNoUmkftjWrTR0JAhQAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image057.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAJ AAkAgQAAAAAAAAD/AAECAwIUBIJhFuKiznuqTYcu1tje9C0JYhQAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image058.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAZ AA0AgQAAAAAAAJkzZgECAwIuhI95oe3LnlwimoCz3lrU44XiSHpRiaJMyo5BC1cxy3A2F1qT8n67 89L9EphEAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image059.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhdAALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABy AAkAgQAAAAAAAAD/AAECAwJ9hIOmyxgMj4vQPYpznRpYhQhigoXjRQXiqKkr2sWLy2a0cN14ub58 v0sBgzKZjlgZmoCw2RDpVAqlxc4RCnoue80sNfmNhqvT8UF77Z7Na2bkiiU3tGVuuu57s9t5uW1/ p6Pm1afHVSLo13JDYthnMTjzschhM6lIGQkyWQAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image060.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVwACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAABV AAEAgAAAAAAAAAIIjI+py+0PVwEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image061.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAJ AAkAgQAAAAAAAAD/AAECAwIUhINhJy0KgnNoUmkftjWr3UBRAhUAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image062.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAJ AAkAgQAAAAAAAAD/AAECAwIUhINhJy0KgnNoUmkftjWr3UBRAhUAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image063.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNAACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAy AAEAgAAAAAAAAAIGjI+py50FADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image064.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhlQAPAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACU AA0AgAAAAAAAAAJfhI+pyxcNo5y0mmezZnj7D17hKD0diaZIcKqo6cZvK38dW+cZrG8sjesJFzea 5YdMKpfJCPMJ/eWizQQVaR3qjCNu7KbteT1jF6YcJqGP6WB6m1qr3O/p602vy+QlfAEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0003_image065.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAABAAX ABgAgAAAAAAAAAJHhB9xy43q4kpQRppkZng7PHWaB3Rk6JnUt5bqaYCPyZ5q3ch1NfNln4O5RChf 7AXRFWlD45HZvECHI6WSQ7QEhVpql/W9OAoAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0151.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•Now the entanglem= ent entropy &nbs= p; is defined by the

•von-Neumann entro= py

•

•For example, this quantity is remarkably useful i= n a

•topological system (e.g. the quantum Hall liquid)= as the

•correlation functions become trivial, while it do= es not.

= ; &n= bsp; = ; &n= bsp; = ; [05’ Kitaev-Preskill, Levin-Wen]

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0151_image066.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBI4FNgYuQEsQKCGBmADOYFjAwMTAwyYFlWIOZkgrGYGBmhLEam//// g1l6jBJQMW64Oh4mBaYEPiEgS42Nn0GK4T9IMYMAkH8AyFoGxAp8DAzHgIZxQ9XwMPgmlmSEVBak At0Btvs3U8M/iAsngCxlYGFiEAjJzE0tVvBLLVcIys9NzGPoWPm+fCIQKxh8LE+RTDvHAlSnC1TN AaSNuBoYj/OCtOpVckH5rDwg1ymAAMinYLFODmYgKyc/XQGmy5QDpEshH8a3ZEPla7OAPBpSBHGl wn+YKxlJciUjA4j+AHftA8Z0bpAJjkUw/nR2VP5sVlS+MiOEjx5ajCSGFsQdjPBQc2AAmRCMzVwm kLnBlblJ+TkMDJHSXIJfPgoR6b8GxnwukLlFRTD+fDYIH0tso9jjLMW1Grc9mO4PZgYZoQu3R50J xLct4oKmNS5wegQnKmhKEwLrhdrdwMjExBRcWVySmstwDmQPA1CHIkMXWAOIEPgixIDuR2awfgD2 PvQsVgMAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0151_image067.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFwEsAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAYACgAK ARwAgwAAAEYKG1EKH1oJIX8HK2EJI2gIJW8IJ3oHKnQIKJkAM4gGLpUDMZEEMIQGLY0FLwT/EMhJ q7046827/2CYBYQinmiqXsWiKAxRAEaz3t2r77yO/6CBwwcsGlMExkEyeOgQx+NrOSFKDq+olrJo WLfgsEFBnTgVs/BNkah8AQmTOhp4z+84p6WQxacUAW59E3V+RnaGiSCDFAoOiiJtgnIUkpAriJea Fy+WVWWbIpmhKKOkm0MKAm6BpyGmJCYCXp44By4wDqt/jExJLw5pFUIMwMIbty8Muq4WAQgwu82l vRNCOgHF1SkJB60GxQzSor3QBFfF5xRj4gBYPBjd3+Hj0zQwA/YnmQ1ewAIDGjzC4cBABQHAeFFy p2DBuhdQmLwQVoJNhoIHE+qbMEaBQRw9/0JuWzMSQJ0pRhw4tDCEgUJCxY4BOJMPQCoKA148wKDy QsuND9EA9WDK1AksNSvEWfhq0FIL79S9QYT0wtOhEkowaIU1Q9GSKBjYsKpgJzVKZyzkhCFh6jax 8cp2leBFHSSRIb2CNRoCS0QLcf6So4SICM1Gciv4jSuYVCGobOdi+Mp0hZN6ZgC9bLuNCB8Fdj/L nKkKgxOup7BMriyZM+sqYEPUGetMQeOmlPxhfrHyHhmTTmqZVEC7Qp3boYZMLn4WL999e2ODWHxh gdnNACqC4gxqgQNtDpJSoG7Bur4X4iUgRO4GKGUOry1cvnDg+mT4gxAmthZZwoOPG8wHlf999xny GYE2ubSBdJe8pwGDJ2GWAIKC4LcQNL9NMEQZLqR3QYSAUVjhHXEkgGFZaQTwHWbtxbdJRaDFNZFX ALg4wTv2GfCAcC1usJRFE2gnQWAUaBNSA5bguM6O8NWIhw4NGFQAAf4wuWBb9uA1yQ6cYMmBEx3x lgBqXTqpFzwcpRJDegLgIlJEYO6wwJhNmjlHiSrIYWNrBe6JkIhX2hnFAh4CIEAchu73ipdzEcbn ooxmAM12OVSxxQOFTuDSpPtYKhmajxLF5QZekJnDqEcMYWqQUJQK3XOkLLRnqJHa+KcojWihDALi BWCAebfi6ilWTM0aarEbcLpIe1GAg1cuRMoumyuxFhjLZ2U2uvoBtmDcYuQCCHCl7bbVDoUqqrRu CRuDog6CLrFWvKtGBAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0151_image068.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wKjAxMQJYl2OZWQAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYFpgeMQkCWGhs/gxTDf5BiBgEg/wCQtQyIFwANOgbE3FA1PAy+iSUZIZUFqQwM AWC7fzMp/Ie4cALYVhYmBoGQzNzUYgW/1HKFoPzcxDyGHUvelx8EYgWDj+XXBNO2sADV6QIVcwBp I64HjMpgnY6VEPMa/pFnHiMDiP4AN7eB0YEBZEJwJRfU9VxgHzKCTYfYJQRWC7ILSDQwMjExBVcW l6TmMmwBmcsA1KHI0AXRAAQCX4QYYG6H2MXIwAyWAQD8ff1SqAEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0151_image069.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwAT ABQAgwAAAEYKG1EKH1oJIWEJI38HK3QIKGgIJXoHKo0FL5kAM5UDMYQGLYgGLpEEMAECAwRgEEhA kloljDX7JAoTAJvSeJ6jdINioJ2ijJNCwFMTxjQuLDsc7KdICIdA4xEFLAgDK5ZMCEJNcQbFQMqA rXSLg2SQWPRqq8UggFBhzpJVdFkDzOnR+1HGp8freDF4V3wRADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0151_image070.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVAE/AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABS AT0AgAAAAGYAZgL/jI+py+0Po5y02ouz3rz7D4biSJbmiabqyrbuC3vATNf2jef6zvf+DwwKh8Si 8YhMKnWIpfMJjUqn1KoV2rxqt9yu9wsWZsPksvmMTtPG6rb7DY/v2PK6/Y630vP8vv/PdAA4SFh4 t2eYqLi4hcj4CBlp5ChZaXlZQ4m5yamo2QkayvcpWmrqRnqqugqWyvoKS+UaS1uLNGubq+uDu+v7 uyYIPEwcaFCMnAzQq9xcyuwczQktXV1JbZ3NiK3dXcjtHe4HLl5+KGyeDkmu3q7G7h5fBi9f70Vv n3+Fr98vxe8v4BKAAgtOQmcwYRiCChv2YOgwIg6IEivOoGhRIsaMQg43clTo8aPBkCIFkizp7yRK fSpX2mvpUh7MmO5m0lRn86a5nDrF8ezp7SdQbUKHWouBNKnSpUybOn0KNarUqRMKAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•In this talk we consider the entanglement entropy in

•quantum field theories on (d+1) dim. spacetime

•

•Then, we divide into A and B by specifying the

•boundary = ; &n= bsp; .

•

• = ; &n= bsp; A = ; B

• = ; &n= bsp; = ; = ; &n= bsp; = ; &n= bsp;

•

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image071.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wO7AxMAJYm2MZgQxmGUZGRiYGGTAsqxAzMkEYzExMkJZjEz///8H s/QYJaBi3HB1PEwOTA/YhYAsNTZ+BimG/yDFDAJA/gEgaxkQL2BnYHgGNIwbqoaHwTexJCOksiCV gSEBbPdvpoZ/EBdOAFnKwMLEIBCSmZtarOCXWq4QlJ+bmMewY8n78oNArGDwsdxdMk2fBahOF6ia A0gbcTUwurKDtOpVwvjMYL4CnP+VFcT3g/NlmEH8IDjfigHE962EuEfhP3nuYWQA0R/g7nrA6MEC MqKkEos/mUDmBlfmJuXnMDAki3GpnHgihNOfEHMZ4f59CDZ3C9z9H8DxZVvJBQ1lLnBMgJ0PDWMh sF6o3Q2MTExMwZXFJam5DPogexiAOhQZusAaQMSTZ0IM6H5iBusHAFgFNShQAgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image072.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhcgAgAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwBn ABQAgwAAAFEKH0YKG1oJIWEJI2gIJX8HK28IJ3oHKnQIKJkAM5EEMIQGLYgGLpUDMY0FLwT/UEm1 gL12TIW7/8A2LcwAnujVSE7giZ8mER8juWkOBNJVOAqabmgR2BwfHu5DURg8gkWPmJpmKFSq5MFE KQ7Wi6EQzr44mLL5pLA1Xl4A8NCpqNeWsIY7RCwtAQggHA9OHWiDAAZYFwkJIYh4aYgDQCZEDUsB b4kAUo8XkXA8CksVkGwiMGcTDn5mmTucnQFABaFxACtPAAW8d3g9YKV4DQWznTs3eblkSAAPAnmi kqgANnxmAgrSuRbOLtRpF1IFA7zW1aGIQKBZDQTIXRgJWOK4FvUNJeupqhNMKC2jEmuTNzEKCh2U gAzYmjAIEhLUJG+chxX3lC1ZJEQZMXUeRv8UWnDLYodXGAIl+dhBYctCGwCdghSzmqoLtSZcCmGz JgYBzzA8yAayKCujH7ohXXqQqdOnyaBKnZpxqlWQVa9qfZj1aQQAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image073.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBI4DjAyMgJYm0IZ2QAMpg/AtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqYDjAkcQkCWGhs/gxTDf5BiBgEg/wCQdQyIFTgYGNqAhnFD1fAw+CaWZIRUFqQy MBiA7f7N1PAP4sIJIEsZWJgYBEIyc1OLFfxSyxWC8nMT8xh2LHlffhCIFQw+lq8WTFvEAlSnC1QN NJzBiCuBkY0dpNWvEsZ3YgHxneD8dwwgvmMlFvuYQPYFV+Ym5ecwMNwX4Vr85aMQDvsYGUD0ByR7 e1hBRpyB29PBDOJvg/OTmEB8WzjfhAEizwUNDS5wiIG9DQ0LIbDZULc1MDIxMQVXFpek5jIsArmD AahDkaELogEIBL4IMcDCAuI2RgZmsAwAMGQ8i/gBAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image074.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhegAZAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABgBw AA8AgwAAAFEKH0YKG1oJIX8HK3oHKm8IJ3QIKGgIJWEJI5kAM4QGLY0FL4gGLpUDMZEEMAT/EEhA lFphzqG0/2DoVVdgnSdTCGIrNpaTeWgnMag8Kobrt7iTzKRgAQQHhe7HFCyUINMMcEBMEA6CRvBQ MJjgSfWaBVg8CG+Yafl+bCGs5mDAGdd4+ZkGx4suCg1vHgddDz19DwAGCgV+P4UKh2ZmfQAciiIH QTV7IB04Whp9DA5WVIxXB0eSjy6lp3QdngAJXQkiBA1TYDZdqxNwMAMaBQ4TmQDDLZ01IcsTxpWd PXGCfjYBDgqnlABp11fXA6LfCuWuGuBogp4CCF3hHgzE2BNEMzZP3RIE1U81jqXzsG8EIksAQn1y 1SeNDhvb3rAQ4GYCDH4DI9JgQUuCgI4SeRD2ItTKRkcCogpgTLPgT7MTnyyhDCkSZEJc9nbgkNBF nUAAyTR0uTOwJ5lgCBmhu1JxjUgYNpRKOKCDYlOLXoi6kkplCZF6AAJQDTpiAVgmUkDslGCgSxYW HE6crQFsYFslBIy8DFQ3xKa9MWF6EPBzoOHDiFsYiQAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image075.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYwHiAkYUTxCqNY2QAMpjnAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqYDjAsYhYAsNTZ+BimG/yDFDAJA/gEg6xgQJwANagNibqgaHgbfxJKMkMqCVAYG A7Ddv5ka/kFcOAFkKQMLE4NASGZuarGCX2q5QlB+bmIew44l78sPArGCwcfyLSJpjSxAdbpA1RxA 2ogrgdGNAaTVr5ILagsX2CVg46B2CIHVQu1oYGRiYgquLC5JzWVgAJnHANShyNAF1gDS+eSZEAPE DkYw/QEowwzWDwCI6WWqUAEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image076.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgAZAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQAQ AA8AgwAAAFEKH0YKG38HK3QIKGgIJYgGLpkAM5UDMYQGLY0FL5EEMAECAwECAwECAwECAwRK0JyD Arh4aiASxWBwWNmhgBl6eAYKHCqgHEMMwsByELcdIIdCqncRjS644aVAsSSRKMJh8bKBBqZn1SV5 ikioWWmDEiBc6IvgEgEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image077.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQFwAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAb AW4AgQAAAAAAAAD/AAECAwL/jI+py+0Po5y02ouz3gz4D4biSJbmiabqyrbuC8fyHBr0jef6zvf+ bvsJh8Si8agLIpfMpvNJU0Kn1KrVKL1qt9wuKusNi8dQMPmMTgMD6rb7/TLD5/S3vI7Ph+/6vn/K 9yc4WBRIeIiYY5jI2Niy6BgpOQI5aSlZeamZmLnpKdj5KZoXOmoKV3qqmpa66irW+iq7FTtrS1V7 q9uUu+uLxfYrvBc8bKzVe6x8k7zsDNP8LL0SPW1tUn2tXVO87a3Y/S0ukz1uXW4ujZ7uvM6u7P5u HC8vTF/ve4+vq79v2+9PFsCArgYSVGXwoKmECkUxbOjpIURNEidaqmgRU7iMuuMwcmzk8SOnjSK3 hSxJ6CRKUCRXTlPpsg/MmKRa0lw28yadnDpR2ew5jCfQNkKHsvppdFfRpGSWMoWF9Oksp1K7UK1K KyrWVVe3WunqFZfWsKPAkn1i9iyvsWo3pW2L5C1cYHMFsq2rEW/Bu3pB8u07EvApuYJ5EC6c5C9i los/HW4cRTFkPY8nx6hsOY7kzDs3c/b5OW9oR5hHpyht+gTq1CVWs6bk+XXT2LKhcriNO7fu3bx7 ++ZdAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image078.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQwA/AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABB AD0AgQAAAJkAM/8AAAECAwL/hI+pGe3vlpy0HohztLyDDAjhKJYf5qUMpBpoy7GGOB/0WNcyLD38 5PshfKYi6WhMnhrCZbOzgW1uVJs1h8tSoynuM8bsNpRkpLlc8lLUX2i4Mr1q5VVsXcsevtu8vCuA diYYiLa3EsD3lMd010j3aAd5smCYKGToQDi4qZnEVWl5iXgxOhd5aprqqFPqF9qyMcY520lLEgb6 +oMLKLmq6hu85KoLG1GLbBsYVNxGJAyM+vvL3Kx4rJydrFRtLcoIPR0O3e3dh72trS6yY35+Ii49 Lp/D6747Kpu+r/yWe7+m1CR60QrGG7GHGMAVK/g5HFRJ4UI24AgevEiqx7+FSk40InoIcuNAjgwt hMFo0ZdEibpYLgGpzeUfgeZkkqpocN6wb9ZseuwFM41PIOXwDYUTBGWIdqFeeHDaU4M+qSKLUQVB MuBRCgUAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image079.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwBjAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAZ AGIAgAAAAAAAAAKBTICpy2rWogRvWnfzyXbz6H1NKGIlQ56UuqSnW8Ki/NGcrbGmvvI9j7sEO76f bjhBSpSgInPkjPqeKCnQesSyqC3t1qvitsQOcuJReaGZkC3ZbDaGwTH6zF7D3/S5KV/4R+Q3eEWY ZfiFOKf4EpjkuATZxFhHmWe5VxjWNpMWY1YAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image080.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAOAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAR AAsAgQAAAAAAAIAAAAECAwImhI8QkY0hlktLWNkWtJy9zYWeFpaRApokk4qecqQaFUfYZNy4UQAA Ow== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image081.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYD3AyMgJYgVEMTIAGcwPgWwmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD9MBxgZWISBLjY2fQYrhP0gxgwCQfwDIOgbEDkBlbUDDuKFqeBh8E0syQioLUhkY DMB2/2Zq+Adx4QSQpQwsTAwCIZm5qcUKfqnlCkH5uYl5DDuWvC8/CMQKBh/LRUTSylmA6nSBqjmA tBFXAqMTC0irUyWM/44BxHesxGI+E8j84MrcpPwcBgY2Ea6cLx+FcJjPyACiPyDZ08EMMmIb3J4k JhDfFs43YYDIc0F9ywUOEbC3oH4VApsFdUsDIxMTU3BlcUlqLgPYXgagDkWGLogGIBD4IsQA8yvE LYwMzGAZAB13o4bYAQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image082.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQA3 AAsAgAAAAJkAMwJSBIJha8oP40qOIuZOnrLLfDVctB2mh5KjCJVKmaYgNl3uGXsJPrMa7XtYdq1a jRgK9nKtzdLkFFKYqhWuEbVej5ai1fXcwpjhLBGbnFKPmKGhAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0006_image083.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgAZAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABgAQ AA8AgwAAAFEKH0YKG38HK3QIKGgIJYgGLpkAM5UDMYQGLY0FL5EEMAECAwECAwECAwECAwRK0JyD Arh4aiASxWBwWNmhgBl6eAYKHCqgHEMMwsByELcdIIdCqncRjS644aVAsSSRKMJh8bKBBqZn1SV5 ikioWWmDEiBc6IvgEgEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0004.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

The entanglement entropy (EE) measures

how A and B are entangled quantum mechanically.=

(1) EE is <= span lang=3DEN-US style=3D'font-size:75%;color:red;mso-fareast-language:JA'>the= entropy for an observer who is

only accessible to the subsystem A and not to B.

(2)EE is a sort of a `non-local version of correlation

functions= ’, which captures some topological information.

= ; &n= bsp; = ; &n= bsp; = ; (cf. Wilson loops)

(3) EE is proportional t= o the= degrees of freedom.

It is non-vanishing even at zero temperature.

= ;

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0213.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•Ex. Entanglement entropy in 3D QFT

•

•The general structure:

<= /p:recolorinfo>

A B

<= span lang=3DJA style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PG= othic"; mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>

UV divergence

(Area law)

a=3Dcut off= length

Universal f= inite constant

D: total qu= antum dimension

In a massive theory, this becomes

topological= i.e. does not change =

under small deformation of B.

Topologi= cal Entanglement Entropy

[Kitaev-Pre= skill, Levin-Wen 05’]

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0213_image084.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC51SPUsDQRCdnUuidxdIyEkQUTgbK+NXLyhoJVrkgnaSBM4o5LJKhHBdSlELC4vg LxC7dJapbMQ6bf6BBtKo4LmztwkaIqgLc7y3N/PmzTLtp4cbkKdldjTQCS3vMgLaNRMfmJZ/oyJ0 7CNkTCGGQRBItMAm1Z05yItjR2uZKYHmYgmYgoCSIUndBLoXUTcBGpqoUTlx2C6cHub8Y1fkwLi4 fcOwgk5ERIaF2hMImIkSsgTai5HPd6x/hJlXTOYjJHNHnlu1d9yaneVeoQK3d8+1pgh7qVvbTB8k Qk0me60YebRMKp33dcUfx4Q9KPOSO9yB/akDSvcvXzq96qSwwUN+qRWjxAuKV5gjeZb389eAuMND H3bwPx9M+UDlo4WLUmGdj3hBJF3H94q8DLA/YzR6XevX8zVjJJEZ+L+IEG8P+BYSX+Uj3vVb37O0 0fm57/A8eTzRSLfEDbVThtw7uRAQ9krJXDVjnSGi41dPXQ8SpAuiYhbOZQGtcrJnwfCMmqz/BH8b iz0+AwAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0213_image085.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhvgA/AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwC0 ADMAgwAAAAsJPQwKMAsKNwcGWAgHVQsJQgYFXgcGWwkHUgoIRwoISwkITgAAZgMDYwUEYAT/EMhJ q704681vaGDoEEFnnmiqrmyrCk9TSMbRGG6u73yvI7eJoPHwGY/IZOvhqICU0Kg0OZBRqsWpdss9 JYITm6JLLpuZE0UsYW67o1hRofSu23nf8bB57/tXMWFgf4SFF1UHEwtWho2NDA0LQg18jpZ+NgMU NjiXnm9YFYsEn6VlAjaJFEORpq5TQCGtgiB0OQILBA2OA7pEDAAGla9cBzG7UB+ylAhjGwMOB3QL Dg0IxGZPUkAzAAIK0Ru6AhQKDcDYZNpRus4S0KoY6xOD6VvzSoEVkO4W1ZIUGpCzxwUfkiqkKiDM UACEpjpf4gHI4whfAF8HOgnBqHEDRQuU/zTYcPCwDSSHNBqwqYhMAjgcAnStBABtBgxZG2IMdNIS gy4HtlosG9oT5JgHdB5INLRuSL8YdMal7KYBkbyiFxo2CMplQbdrE4dNgITOzrqGFcwlnBfS46wK H8BugETyzbUPJQMa3EF02dUJ+iYhY4vVgs4Li2YGtNBwKZlrBwBaIHuhr+W9KtYZ1Naw0xDHChuA BmBj54QPlQtvEVAgV6l11fICICIBxgFyDblaSHzBACNRhWlnUE3vMvHTCeR6WqerrITfDA5Uk8Yh 04VwF74oBrDIOc8o0WVbWvdhmLmBkFCEgqs0Q6wCD8GNnk0fCoF+l8w1cBeRXAAH7vSFgO5pQtgg VwAKNGfBFw9AU8ICNoiGnxP1KZHQJ0NNUAMIJJRTzVDKSRDLMg4gsACBIoqWBQqDQREZQRwosB0u x2VmY4VHFEAVjBj4hiIAK+qgQIgc+IUEJD/yOEE1iHXkQgBEFkkPEkNcqGRWRCgwEC4TslCAdx30 VCMLaiR5pUsEfHhAAmZKEUJxY54p55x01mnnnVwwEMM1MTiJ553/UReAVn8WCoA5OwJhpaF0wlMB EF0yeqUNXDEpaZ3mhOjbfJcSpIuTQEjW6Zn4nNTmqNjMo0BjAOiGqj1AAMNaAGQVEOmrxAwAxAPo LJKRoREAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0213_image086.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhkgBXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACQ AFUAgQAAAAAAALvu7gECAwL/jI+py+0Po5y0gYuz3rz7D4biSJabYabqyrbuhb7yTNdgbOf6nuL8 DwwCfMKi8UU8KpejJPMJzTij1OW0ihVes9zdtgumfcPk1riMNp3T7NC6Dee843RYoI4XzfPtPT/t 91cWKBhGWNh1iJiluFjV6BgFGfk0SWl1d4lnqWnE2amVCQr3OfpTauolmoqGymrj+iq2KgsWW4tE i8uou/vY6ysJHFw5TIx5zJuMdbtM0uysZxwdBE39YX3dka19Mt2tww2OIT4+9G0+m15UPt4O/t4d rz1/XU99H53vvL/cn/zvWEBiA4MV9HVwV0JcC2s1lPXwVURWE1NVNHVxVEZQDxs7ddRUIaTIkSRL mkxQAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0213_image087.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNwAsAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAA2 ACsAgQAAAAAAAIAAgAECAwLshI9pwd0Ko5zAyUdvPsGI83lg1W0Jk6EmoppYhH4yMNf0/ZWbBekr vOOdQjeRsYgk+mCO5fKnSfVsVJy1mpMqntAJl7UdHYlkcZLjPXW738XwCsfGr21fe50GostjM//s UQeGx6ZXIYc4J/elc0cYFeYGOPlXOcKI9lgYeajomUjF1ai5qSZp2ZdKKWlaQQolygH6SSsTy/qq xVmCuqpahpmZSxHsNns8V+w6nNfz9usXPSY4yMzprIasvbzVJGyNeyJ0Ku175jge/upIwri9yE4C qRmvLm5uWf+jfw9OgtzC34KA3fjlapJOUwEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0213_image088.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAAiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAh ACAAgQAAAAAAALvg4wECAwJmhI+pa+EMoXNChIgnrfxiyYWV94HiWEbBiabLylquArPk3MQtDtTx 7fKFKMCUsNMofo67Ho4p4x2gyuBPOr1iN6dqCRqVgr1LHTnzO6u0W7bYzaNic7Y5XaT+4u2JWn62 8vfEl1AAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0213_image089.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGgAkAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAY ACMAgQAAAAAAALvg4wECAwJbRICpyyZxmlRBWDhntTdmyoWQl20hh33mSZbn9YHvEyMrW1fQ20rp TavZZj0XTujgIZOiJRO1BAaFwKKxiZRafcosMdr1HqlfMZYczpXRZ3U6dkuZty6507AoAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0213_image090.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAe AA0AgQAAAAAAAJkAMwECAwI0hI+pEOufQoNUBSGR3Lz7LYQTE5bmiaLTlbauSL6yys42Vt9u9vV9 OapAWEHh41I0OjKJAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0214.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•Comment: Relation to boundary entropy

•

•The entanglement entropy in 2D CFT with a boundary

•looks like [Calabrese-Cardy 04’]

•

•where c is the central charge and <= span lang=3DEN-US style=3D'font-size:75%;color:#990033;mso-fareast-language:JA'= >g is the boundary

•entropy introduced by Affleck-Ludwig.

• = ; &n= bsp; [Holographic Calculation: Azeyanagi-Karch-Thompson-TT 07’

•　　　　　　　　= 2288;　　　　　based on the AdS3 Janus by Bak-Gutperle-Hirano 07’]

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0214_image091.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC52SP0gcQRTG37xdz9u9i7d6FjFJMWnSmMQQ68BZHIJyFp69nGFzBlzn4IRju8NG TECslYCdIjZ2llaSJp0QCASuEBNsoo0RA9nMmz+LioVmYZb3e/u+N++bna9fDtZAPTwoucyjqDHG QAbOIZMveKK+dsnloY2QMRMxTJJERS/ZQ5PLpXV5LLk86JPRs0wBHkFCxRBI3pfRnlydAsCFIzWm Jg+V2sLsVNwIATqQldlL1Ap6XLleMN27HzkuOxQVZTTt2lyl2+ZaWZr9D7b/avUqUz0Qgqn3Udjk E2GLT4qoNg9b279au3LxV2et0eK7E70PU/u/9tv4sUDS57Hl7z1kkXPL5QeaPcNhTlqCOVEPbUVv jjpwYSsGPUcpeGgz6+51zY6z5pBmWNx0we7lAtWpnV5x09tDHerC7rPYTVwzvMKaiidT/qTmeCus vgTEVTMXT/5vLmbmQjNXB4dUhxFxy19D6luNoxkxB/B4wI8/HxXv7LfsU4tBM/8GbmaJfxv+5mi+ MLzNNJ+n9UsZ4h9pveafab3m4/R8xpH4jfDNnfbVvVeXD7S3PjWb8dZmiFiNmwthBCfkA6TiKXxQ AnodHRfh5pk5Sv8PvkLMjL4DAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0214_image092.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhBQFFAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABQD7 ADwAgwAAAAsJPQwKMAsKNwcGWAsJQgkHUgYFXgkITggHVQoIRwcGWwoISwMDYwAAZgUEYAT/EMhJ q7046827pwFRfFZBBGSqrmzrvnCsGofwCgci73zv/0BV4rA7JILIpHLJtAx7xqZ0Sq1yCg1OwMHt Nk6ZhsJKLpuRDRRH8HAcAYWDY3QJZM/4vJ5keHcWcxMCDg8ZBH57iYp7DTYeD3cTXBmDi5aXZAwE HwNuFJ2FGQsMmKV6CG1iTQdjHgaBE3KtGApEprdWAw8PY51NDiSQEwptBhzAuMlNAg22AA+ISHGc hF4JahsL2MrcQIADVQjGrg5jg5EcCDrd7D0KnlUEsxxtsbBXm+36MQT3U9oeOjljAE/Lgn0IXTRA VgXdBgQOSEk498FhwosdJllhyEEOOHt0/45hHPnIgSMAAywG4agBVAWC+USSnJkBYj4GBz4uYYkB hwNnE7lI3MCTplEACBY+WHdBgKaiLaBSANQlIgU5XLZdkLrDab+EA/oR0oHl0oE2XFWk5bEWxlmN +lIeUMNg4UFMcGO0lbEXRl52/U4CeMfU0t8Xff0yOcztsL9FjKP+Unws8aKFQyWYLBWZhWUXny20 7YwrAReduP6G4HIg5ESxrUVPRpyR5eqfrgEIgJ2bhAKqD3qnkNMAtam8ChqM2O1gHMoGR9hUlTQb dG0KyZf3c54yOlrSFwCtg9hFMIl+afxWXQ+eBNxB89qoCSyhQEHN1SVXFlSOgnwJ9MFxH/85zgHg gEopmOaAVpfAZVoF7+ST14EVhOYZZUQx9CB2DkjIEYUpLHRSJxZWAFFxt8BVDwWDIDMhSyWqpRZ7 7G3F0Ir8ufjhZ3mZFo0HPJkG1GI0ricaQ44hYxodgwzJVZFQkhYjfvtpxpNGSwY1ZAevvAHRlh1s YWOKDC1kHCETPVADAKZpNaV7GGoAl5kVhsLGmm2ukBQXo7BA0FahYJBWlO19AFc/hRnoBwIHLDSX bIvFmcGhDiRaEKOOMuiBAgaYN0NzL1U66Zt8MbQFOu84AhFR+V1YJQCncqjqm6YZtwJVCXyUHJj4 kQrDO/1J8MqadsxS5AIn+ZqRpBcAO8v/sDYUKwmNyJKwECEJCKfBKw+khAJOrM0jm7JRGVkfVmAM c+16dxnY6gqDmgsHutskRy0JCxCAFRcEeIoBIGfJ6G43nFbgFJLv4lEwi392kNJQASDQT6BACkwu E/b5G+jFciqS8QUUawDIBb588FsK8iaz0AUMhMTxpIqsbEHLQG5mcLsGCTwwEAIkoFRmLpjGiyNO zfOyoIoIrQDRDIi7LSGzDICTrRgkkOiy1PG8rlAyKEDAtQd0WmHCZ3gNtti+fc3FF06zBVcXQMgj wQDEkf3D0UdZ0qLdPuCdN2Q/rsT33yTV5S8QCD7UxkFtaEtB4oRjJABEjv8A0Ad2PBqAyoI5R553 VVcHIYLJ9wESUwZee/53AFRVzoM6ATVTASBtV2BA6KqTBEjIQbDugRxayZyN67kjZJ/fY3PwDs4C 8pp88Z9DDkXtFPSTGyBAN+s89BcNiAQDzI9JAXmHV5899xjVRfVK5VuJnZCwalAJ+hedtU5d1AOR wOnhidpzxJVKQP4SEDj6dcMAZ2tfENKTgQHs7n640YAdDEhBd0iPBcqpoAZl8AQeRGGDIHxBB2Pw wRCakAWMUuAawnbCFrIgBMTLgAk05cIKRAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0214_image093.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhigADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACG AAIAgQAAAAD/AP8AAAECAwIcjI+pyyoPo5y02hub3gf4D4biSIrYiaZWybZfAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0214_image094.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOwAKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAgA2 AAYAgAAAAAAAAAIghB2ny+3/goS0wnmktrwDnYDiSJbmKSKbx0aY8rZyphQAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0164.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

In this way we learned that the entanglement entropy

can capture t= he `quantum degrees of freedom’ of

the ground st= ate.

This suggests= that the entanglement entropy can be an

order paramet= er for quantum many body systems.

Since it has a universal definition, the holography implies

that it is a nice and general order parameter

for quantum gravity.

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0031.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Contents

• ①Introduction

• ② Holographic Entanglement Entropy

• ③ A New Order Parameter of = 3;

• = ; Confinement/deconfinement Phase Transition

• ④ Geometric Entropy and Phase Transition

• ⑤ Entanglement Entropy in Time-Dependent Systems

• ⑥ Conclusions

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•

•Setup: AdS/CFT correspondence in Poincare Coordinate

<= /p:recolorinfo>

②<= /span> Holographic Entanglement Entropy

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image095.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYwOLAxMAJYn2MYAQxmP8B2UwMMmBZViDmZIKxmBgZoSxGpv///4NZ eowSUDFuuDoeJgemBSxCQJYaGz+DFMN/kGIGASD/AJC1DIgTWBgYngEN44aq4WHwTSzJCKksSGVg SADb/ZtJ4T/EhRNAljKwMDEIhGTmphYr+KWWKwTl5ybmMexY8r78IBArGHwsPyOc9hNoKIMuUDUH kDbiesD4hhmk1agSxr/PBOKnVELMb/hHnvmMDCD6A1AXJ9jcBkYrBmYgyzElOBWLy5lAJgdX5ibl 5zAw9ApxPf3yUQinyyEmM8J9kAD2gXYKFzScuMBhCXYwNJSEwGqhdjUwMjExBVcWl6TmMvwEmcsA 1KHI0AXWACIEvggxoPuCGawfAPA6oNsSAgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image096.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhPAAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABgA0 ABMAgwAAAFEKH0YKG1oJIX8HK3QIKG8IJ2gIJWEJI3oHKpUDMZEEMJkAM4gGLoQGLY0FLwTiEMhJ aw1E2c17LZoHLAwzGeRyCKbojszhlpLBEBJBv95BNrOWoiVxEHmbx+DBEIh2pcAEcURSBkAbzqJT UFsJhndStRYHErHlsXDqiGFGQ2q2CBYTnWxSYCAkLEdYJVt1eXsAVA8UJBQ7VyQKdIZDJZYMk48A UBU6QIYFBRUHN2RHUH+ORJoVlhN4FgohAEYGpmmfZLBpHKu0ixZ9D04DYmh9DHglcwACDX6O0RaX DGimlmgDKQEKBFImCEYMSmkmpxtlhh0tmunp6uhkm9S+8C/1vNL2M/L9+e/7VLnKN89SBAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image097.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQCkAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAf AKAAgQAAAAAAAAD/AAECAwL/hI+pa8EPm4sUBTFrvVnDi3kRGIoMWZoK2qmNAMOtisquFcezWNt3 76PlhrvNMFccHZHCpc4EJEKdTE9UqrliKdqtkup9dMOLMTlhPuPAyyQgrX6zqUm42n7Gk/X7ObvF 5xW4NUjo5zdRKKVIxMjk+ARpIxlC6WApd4iYqfnH2Un3CdomOrpoGoqpiup0yUq6+noq+0hbazuJ m6vrylv62osbbDtMWyx7DPzLmsy8jNoM/WwaTT09Wo19DZrNvd3ZDf6tGU4+fliOfr4ZK7w+l86u WzkfD//u2U6MD2afX88vFUB9xgK2MghroEJfBJEhPOKv38NZ7hoqs+gMozRJXoncvSh4wFEHRoAc ojG5RtoKZ2VUtrR2AmZMbx9o1hT3RR0Xc0Y2ZdHZ05OVezyIDpU4JVQTUi6uuLkJ8cavpzmfSC1F tWoKqSyuhrTqlVPWnmONlN1wFm1YNGsTFAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image098.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh3wCRAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQDZ AI4AgQAAADMzmf8AAAECAwL/hI+pyxEMo5y02ouz3ry6DobiSJYm9Z3qyrYul77yTNdibOf6vuP8 DwySfMKi8RghIpdMobIJjdKe0qrVRL1qt5os9wuGeMNk8riM3joe6Tb67I4z4fJ6kW7P89b6fhPv F/gCKFioQmiYOMKn2DjF5hjZwihZeYJomSmGqdmJwOnpSRlKagFaajmKutpwyuqo+ioLEDvL6mpb WJtbussbugb5u+o7rFlsnIqcLLnMDOv8rBgsTUpdLRqNLRgsvF3Z/X18LQ7e7V3eeI6enrj+jtsu P09fb3+Pn6+/z9/v/w8woMCBBAsaPIgwocKFDCUIENDwysOHEaVMnGjgosaN1Bw7evwIMqTIkSRL mjyJMqXKlSxbunwJM6bMmTRr2ryJ02XFJhd3QqHoM6jQoUSLGj2KNKnSpUxdaGsK4hzUSeGmrpBq 9VDVrJfIccXi9euQsGJvkC0b4izaqE/XomjrVoLauF3g0m0Vj+7cuxjs8l3g9++nwIINEC5MK+/d w4UZC3b8FzJfyZPZIb5AWa/ixZYve9is2TMM0HFJl+4seoJpt6vRZg6dum5s2bP7oq4N+DZuBbp3 D/b9Gfhb4SiIq+4NvPVa5MmZ+3a+W7lr43KhIy0AADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image099.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBggQcmBi4AQxAv0YQQxmXUYGBiYGGbAkKxBzMsFYTIyMUBYj0////8Es PUYJqBg3XB0PE9BMISEgS42Nn0GK4T9IMYMAkH8AyFoGxAcEGRieAQ3jhqrhYfBNLMkIqSxIZWBI ANv9m6nhH8SBE0CWMrAwMQiEZOamFiv4pZYrBOXnJuYx7FjyvvwgECsYfCxvFknzYgGqA7meA0gb cTUwWguCtGpW8kD5k7m4gCzn/PyilMy8xJJUmDp7LpA6hUpuKF+QFSQTkJ+Zl5xYBFfVzgJSpZHP CeVbMTADWY4pwXkQ9yr8J8+9jAwg+gPc3Q8Y3zCDjDBKgfHvM4H4KSlY7GEC2RNcmZuUn8PA4CbK 5fzloxDOcIHYwwi3JwFsj3YKFzQWuMAxBXY+NA6EwGqhdjUwMjExBVcWl6TmMniBzGUA6lBk6AJr ABECX4QY0P3EDNYPAFhvXkVwAgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image100.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh3gAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwDV ABEAgwAAAFEKH0YKG1oJIX8HK28IJ3QIKGEJI2gIJXoHKpUDMYgGLo0FL5EEMJkAM4QGLQT/EMhJ Kw1E2c37XV4oMYxonmiqApgGkKu4CF3jhPYtFXZjCLqYJNA4ABzIpOIRMMGE0EqBgWQgAsEoJzcq rYAdhKJpGSARIeTOQZCIs19FYYLVDahGrV7EKA4TanscgVCAHgUKNBULgA9pOjYUCHAqC14ThFgN gpwWDC4UBZSdhDECCqMUDSAUAiWlEgIEDgoHgahomFBYBhWlhLJITEMZLMWACgMTwQ6OsQ9VTQEJ iQ1eAQu0vROicxZBzMPLs81k09VewbVqLcYayMoAAtAODE1USUPZCtsGDmQSCKCBlmuCggY0yLkR pigKoHiYwDnYJGEJCwWJAKC6sXGOGYoa/71Yk2AjwEeNSAog2BRAQRt/BakA5GCxZcaKjmzS6Liy IkIACjeidOBxIsl/J48EafnSARozCZZRnORMAqA8QIIcyEGgYQwq35zKo+LNHxlRbZRKIBRo1lkX fdbqQNJwFqZLsCyYXZN2LwC0chtejRWocJBAcdUqBnq4BBBWAAxsOwIKQKSIUnJEFZI3SZWCl+XR kku6NKoOA7LNzbLRM2YPoYG4iD16seUshkvbTp27oufeQz3nsZ33L6rNKzqn+rVaN/AKD9Y1f23B htewFJ5rxz2dbZDotqbbfl0g7ULzzNd6NXOjeETu2DegAmhUsXffBSfMUrZ9OAVA+VkwH/8mFA24 FkXpvQZcWw7wJx4S/pX2EwUYTUCQgpOt5QIch+kiQTbXuTeLN0Bss6AO0Pw0AILdZQENAzRgQyFI E6QWEFGEbTNijroBcGFpJwIp3osxslIPUJdMQEVaZiQTGRKbIPGDPLPkwuEGQTzUChIzLYNREwRQ VEcAddCQlTSt+YHSAOGRWUodSUB0kZoADDBGLF8CBdIpd4Y5RClNKuPPRGOWKdo/a7aJkoxwIqEM VJ5B9NujPTDVxA0H0MOAEflkhyUdOMrlmgUB0NOVqL8pFUgAVGw6wST29MFebRLcMZGcsSSQwxJy lorEqXSYqogSFKxIqEuNuuYarKw2oAxLs7VS4ewaXXIyF6qdHrEIZJ106+234L7AbbfXempuK3KE q+667J4gxnWkrOWLuXC0FGC7+Ob77VbVkputtthaIMC4+hZscBQLABQBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image101.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBIYG9gYeAEsT7GMoIYzMmMDAxMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqYGlgR2ISBLjY2fQYrhP0gxgwCQfwDIWgnECuwMDJosQD1QNTwMvoklGSGVBakM DB/Adv9mavgHceEEkKUMLEwMAiGZuanFCn6p5QpB+bmJeQw7lrwvPwjECgYfy7+KpIkCDWTQBarm ANJGXMeYv7KCtPpVwvgyzCB+EJxvxQDi+1Zygvm1jNtYQCbk5ykowEQcGZiBLGe3EAWImxT+k+cm RgYQ/QHuNjUWDxaQESVuEP5dRj0WUPApKMD4t8BuNYTznzGB+CkKWMKGCeSO4MrcpPwcBoY5wlxf vnwUwhk2EHcwwsPoIdgdWxRg/A/gOLbF5l8Ue8QFuH7jtgfdv3cZ08H+0VbggsY4FzhVgIMRGt9C YLVQuxoYmZiYgiuLS1JzGURB5jIAdSgydEE0AIHAFyEGdD8xg2UA6sYrItwCAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image102.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXgA7AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwBV AC8AgwAAAAseNwwbMAshPQolRwcuWwYvXgsjQgkoTgctWAkqUggrVQonSwAzZgMxYwUwYAT/EEhA SmuGhAau/2DoTWRpnmiqFg4hHRYHCFeJXMlUS4ms/sDgJOEIlHo6X1KQnNCE0Ghp0FCYNk3TgLST bKVgYe9b8nU7p3OYJFjgjIDAwgFQNBzklEOJ6h74EmprEg45AQ4OTHsNDABUD0CCJiJpgGs3cAwN C4FmlmWfXD5UlYMlDz40dB2eQBZwKWeWkmGyMl20JJoIP7lZnbGhe0yBkKy/KgaJJQQ5wL180Vwp bi4zDbzHzz+HLRICDAZOF8QoGw2waNM6KQIOD0wLxudMNOhCCKgY2awffSD9yqwz12MTMX/+TK25 1QlgKIUQhTAcqC6iRSkT2Wm8yFHiiI0f/zuKHEmypMmTKFOqXMmypcuXMGPKnEmzps2bOHPq3Anq grUSmkJGCeGgwIGIN+6k61eDSoMCJwxcWBrlnIQAUn+aatPAGIkNsDA0yDNDn8IuNLxCvCBOoA4C DZxNUBD0rBJfc5cGsMLFAieKHFCVAwAPb6RUGIQUgBUAqkCpfANNg/vXEVRBIoRmwYoHyuI4jgUe avDzLqEGxBa4MAzNQ4LBQQpU6PPiwhfTAG5kM8ZaRdPEUmjA3qipSMWKdyj87R1Mwo3KimenIeEG Em4AbhgkOKpNVOZSEixo/fG58XQSUqUOTOuV+T8SiNJ9+nw19MYJiyaAHVLl6tRB58BChS4DCBx0 ggJ6RRbHPV/tAJAj94RQy4O5eZDUQ/9oBldOGIZB1Uwd8jSUiBe5F0UEADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image103.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBo4HBgYuQEsS6EMDIAGcwcjAwMTAwyYFlWIOZkgrGYGBmhLEam//// g1l6jBJQMW64Oh4mB6YGDiEgS42Nn0GK4T9IMYMAkH8AyNoOxA4cDAzfgYZxQ9XwMPgmlmSEVBak MjAEgO3+zaTwH+LCCSBLGViYGARCMnNTixX8UssVgvJzE/MYdix5X34QiBUMPpZvEkrjZgGq0wWq BhrOYMT1haGTHeQkXUOIeQ3/yDOPkQFEf4C61ohrAeMPJnYgKzUvtSi9UhNq2wLGEiaQwRp5ML4H OLTq8tBtZyTRNxDbGeH2+DCATKjK44KGHRc4fMGegoacEFgt1KcNjExMTMGVxSWpuQzcIHMZgDoU GbrAGkCEwBchBnSfMoP1AwDcwRi5JgIAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image104.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhewAiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQBx ABgAgwAAAHAKC4IKCpIJCp8JCqsICbYICdIHB8oHCMAICNsGB/8AAOIGBvgDA/EEBOoFBQT/EMhJ q7046827t8snjmRpguGpruyZtpvAwLTFCNtbW0Uz7ECCo6DRASWEBu64EzQIGSMw0CAygYZGQLLo TqS7g+PKdBwwYFpggbgkGgsHFCA4NAAFx2JGecfnAgh3CAsKSA8LDW1cXXsTDF0JEoRbFY0SAo2N ZyoGC3MUDAxbB58Aemw/CQucAKKkpqgGAQoPAASsAAGIXbsLthRDE7gGG4SarSeQSxMFC5UAv4zM iRLO0NLRCz8TehOZhrrV38ASA44awuYtcDaal9oUXq7v8/NfOvelVgAIxfJ3PHC7AMnMQC4oEl64 F6+hwkcLqAUUN0bCRHwCMxw4E8CAAwez9gBsfIhxYb4UDOUZcfIA1j8J+/AkY9Th5UJoAAbYKXSh nSVTJO0B/WnBAAM4D0CZiwNAwUEuFzHYbAHpKSQ+ugIynHd1AhWaFAbwwwApj4VMWKVSKFDuhCel ADzlEhluawq5nA7UNfKAGYZzDSRVIKah1LupJdYsosCr0Y9MzySsiSihcZfHKeG8G1UBEc5JkTEY fvfZhJgLOx9w08RIH9LV8Kxp1pQ2brgKZshooIJYN4GnniocgItHi24NSfz6fiqh4oSodJ4c35CH OBPocZUeEDxhQJXpHALUvqJgSKUACRbxcv5IOfj3GQpASuR0goI9pT9EAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image105.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYwMPAxMAJYm0MYAQxmJUYGYBCMmBZViDmZIKxmBgZoSxGpv///4NZ eowSUDFuuDoeJgamBTxCQJYaGz+DFMN/kGIGASD/AJB1DIgTeBgYjgEN44aq4WHwTSzJCKksSGVg CADb/Zup4R/EhRNAljKwMDEIhGTmphYr+KWWKwTl5ybmMexY8r78IBArGHwslxJLk2MBqtMFqgZ5 x4grgVGOCySSn5amCRP5xg4SSS4tUeCAiixiBxmvUApTwcTKDGRphIYpcEFF9JhBflIAAQyXMZLk MkYGEP0BqAlmewkTyIREuGt8GED8KgUsIcAEsie4MjcpP4eBwVKMS+LLRyGcIQCxhxFujwfYpbZg P4HCmwscJ+CAhfpJCKwWalcDIxMTU3BlcUlqLoMcyFwGoA5Fhi6wBhAh8EWIAd1PzGD9AOUjZhda AgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image106.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhnQAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABACV ABIAgwAAAHAKC58JCoIKCpIJCqsICbYICdsGB8oHCMAICNIHB+IGBv8AAOoFBfgDA/EEBAT/EMhJ q704axzW/mAoUsHBMI1QnowwvnA4OAXAstKtM9RNxEDAzAAgPBgOopExCDqDD6JkcGpOqM3VwYJo PAO8kYkyniQez/QIge6FexTHtpJQPA3vkCO/rzwQaoEaYIBuFnkIDAEVB1ZABScvkROTE4mLNjtO OHlAeC6GFXlgdhMBXhYBCidzOJk8OhWqrFY7mhICDESdvLaVcDlqC4qinTYVq5gACTUWDqgPXlRh BJO/E3JCDg7Kv9dUHqKbwE99xYeyDKUAqMhMEgYOOW/WxgnvAHjr3sZI4kG81FzLhI4RsQLr4hgj OK+hnzdg5DmcSCnPQhEBBfbrZ6GanQWOykKdcziQX0WRJ4Nh8OXtXxpzFI4okxCuwjAC7SrsCTmx njNiOdowpJhD4sURFo++GMZzVbMJUipUo4HBBCoC4Sr5dNcMTIKURMF4yCgppdIQn2Rt+wFAwIGZ FBpIvDCDxQMrR1zgYYBmZ00AARw8WKRAKKQWEg6DklBtbywgnAbGIGRhwIE9DhTApYBQw4AGfJ8S 2AMocxNIDXhaPqF5Hss3lwTJ5iJ0tm0ohW7bfvBVt28RBmr/DjTj6fDjFQo44Ik8zd/myBcoiwAA Ow== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image107.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYFvAyMgJYhlEMjIAGcyPgGwmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD9MCxgY2ISBLjY2fQYrhP0gxgwCQfwDIOgbEDmwMDGlAw7ihangYfBNLMkIqC1IZ GBTAdv9mavgHceEEkKUMLEwMAiGZuanFCn6p5QpB+bmJeQw7lrwvPwjECgYfy93E0lJZgOp0gao5 gLQRVwLjBlaQVsNKGP8KE4hfVckJ5e9iZAayFBQUUmEqrBhAnvAMwuICJpALgitzk/JzgK6R4ir7 8lEIhwsYGUD0BySX3GEGmWtnxwX1Lxc4TMAeg/pWCKwWalcDIxMTU3BlcUlqLkMqyFwGoA5Fhi6I BiAQ+CLEAPMtxC5GBmawDABq7pWS2gEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image108.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhUQAWAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgBK AAwAgwAAAHAKC58JCoIKCpIJCrYICasICdsGB8oHCNIHB8AICP8AAPgDA+IGBuoFBfEEBATGcMlJ JWsC6M27/2AIBsXBbIEUaIPEOoshznTtOfDCuRsPpA+bENAggIo0H0DJ1A0ri1OH0DisptUrqLlz AgiLxnA50CAWxo/gkdBu1u2tdznnGRiM8lgjWChmBg8IH4GDHlw9FH97LBc2Cg+LHZCSGoiWTgwO jBoOUjV3Yh6hHZd0jZt7B2igD0gdga9ds4kbA5pjBX40BK5pHL2ypV4pC1ctC3oABgsHyjNgogAt HlTCGta/HsUrUFAbzGE1DN4e1xvnXRQRADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image109.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBQYD7AyMwJYn2KYWQAMpiXAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqYDjArMQkCWGhs/gxTDf5BiBgEg/wCQdQyIHwDVtgEN44aq4WHwTSzJCKksSGVg MADb/Zup4R/EhRNAljKwMDEIhGTmphYr+KWWKwTl5ybmMexY8r78IBArGHwsTxFKs2UBqtMFquYA 0kZcCYxJTCCtCpUwvgMDyImhYVxQW7nALgMbD7VTCKwXamcDIxMTU3BlcUlqLgMDyHwGoA5Fhi6w BpBOgS9CDBA7GcH0B6AMM1g/AI4AcdBgAQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image110.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJwAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABgAa AAwAgwAAAHAKC4IKCpIJCp8JCrYICasICdsGB8AICNIHB8oHCP8AAOIGBvEEBOoFBfgDAwRmcMkJ wLy0Wiqk0ED3AcVygBWSaBJqgUzjMuPmLuCwrFrggC0UDrYIaBIG4BCIIiwUmodwyXI1pCQei1rh AgwLBKAxmLqwqKtBhjoskhrCyQV+iFGdRxlAcNTSRS4hbhIHfygGcxoRADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image111.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDwBUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAK AE8AgAAAAAAAAAJVhBGnFrnYHoyq2WXvyZp3DzoPNYqjxKCIamLsi7YVLJGYzOBQrNtVD6SdYkIX 8VgrznjMWtDZLEVvyk01hRwms8Yt9CsFU8W/aZm79GrXXXbavQkUAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image112.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4IKjAwsAJYl30ZgQxmNWZgASDDFiWFYg5mWAsJkZGKIuR6f///2CW HqMEVIwbro6HSYHlgaAQkKXGxs8gxfAfpJhBAMg/AGStAuIFggwMp5iBeqBqeBh8E0syQioLUoFq GDiAor+YIDpAgAWIdRkhZoswOTCtYAWxhIEsbUGQO38zNfyDqJzACFbPxCAQkpmbWqzgl1quEJSf m5jHsGPJ+/KDQKxg8LF8nVjaDIiZjGC7jLgWMIUKgrTqVULMU/hPnnlMYLd+gJurwNzGDTLCqBLC Z2RsEkDl9/KB+IZQPi+TMwqfkXE5F7J6XqZeMN8ALm/Jjiz/hfE6Cyp/NSOEjx5OjCSGE8RfTFB/ nWE+D3ZHFdSetYz/+UDRn1IB46twovIPsYL5VbDwvsQM0h8E51sxgOWL0cOfkaLw52VKBYd3ZjEs vLp5GcH2wORbeCHyWOKdCWRvcGVuUn4OUE6Ea++Xj0JEhg8joxw4HnXh9lwB22NbjCW9otjDI8b1 H7c96P5byziJB2REcDGMXwdOb9pwvgAHsjsWMM1igriDC5rzuMC5E5zMGSBuEwKbDXVbAyMTE1Nw ZXFJai7DDJA7GIA6FBm6wBpAhMAXIQb0MGAG6wcAcvQByGQEAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0064_image113.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh7AA3AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABgDl ACwAgwAAAAsJPQsKNwwKMAYFXggHVQkITgoISwkHUgoIRwAAZgUEYAMDYwECAwECAwECAwT/EMhJ q7046827VKAneqAynlV4qShVtnAsw+Y3ozWQ39uezjkfb0iUCYs9JOY4Ybacyqi0OeVAea/MdbSt epfdLlcsxixK6F1tnbZpyd84zhoNzwIKAqUQdGuTdHKCHVtrRXY6MgYKBi5UiRpQiGWDVVdtRIVo MwQKASubYE6aWZWmOiZBmEohfR8sJBwCDAusqY+olKdSKr2Otq+vt08dBwoImWzCkLvNuEe6Iq5N 0bgbC59D08HO3WoW1YS/43McB8ja5H5xpV/t6j66aaHw4Cfz7xMCeunqzO7WpmyzBiucOGop4sH6 s4GAAAoCavWA5kLhKYM0VlAZiKSPxWeB/zIgOEBhAIECAf0xG4bwhxeMxOwluhWvow2akHCuW6IB D74EB13iHMYyxkKeg0Ypy5UPy1IWvnZqzMAAn4IBqKhtYtJradavGQFpmyezG5CUNhneMFhIqtGK v2B6Q3tI6wu5bmNForfWJVO8zTjWjYTlSdG7AsuaPXS0o1K5jd9wyxm5sMrFmDPfI0gXFL69fDWL Hi32n+k6l0mrJl3TL6/UoqzKnk27tu3buHPr3k2W3NHKnntPzbu6eGaPIBPDNs58lyGagvstb24E OHUJBPR0vWm9esHu17l0Dp89vPm+59Orl76+vXu97+PLVzy//ntD9vOrX6W//2jh/gWo2iM3AhZo HGAGJsiKggxqhmCDEL4V4YQXUWhhUq5dqGEyoekXAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0014.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Holographic Computation [06’ Ryu-TT, = ; &n= bsp; = ; &n= bsp; = ; for a `quick proof’ see Fursaev 06’]

(1)Divide the space N is into A and B.

(2)

(2) Extend their boundar= y to = the entire AdS space.

This defines a d dimensional surface.

(3)Pick up a minimal area surface and call this .<= span lang=3DEN-US style=3D'font-size:75%;mso-fareast-language:JA'> =

(4)

(4)The E.E. is given by naively applying the

Bekenstein-Hawking formula

= ; &n= bsp; as if = ; were an event horizon.

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0014_image114.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBwYDrAyMQJYk2OZWQAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqCZDkxCQJYaGz+DFMN/kGIGASD/AJB1DMQDqm0DGsYNVcPD4JtYkhFSWZDKwGAA tvs3U8M/iAsngCxlYGFiEAjJzE0tVvBLLVcIys9NzGPYseR9+UEgVjD4WF4vnNbJAlSnC1TNAaSN uBIY3zGAtDpWYjGPCWRecGVuUn4OA8MZYa7OLx+FcJjHyACiPyCZawI2d1slF9T1XGAfgp0JdbsQ WC3UrgZGJiam4MriktRchk6QuQxAHYoMXRANQCDwRYgB5naIXYwMzGAZADXhmiioAQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0014_image115.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQAW AA0AgwAAAFEKH0YKG1oJIWEJI3oHKmgIJXQIKH8HK28IJ40FL5kAM5EEMJUDMYgGLoQGLQRzEMig FiMy6y1FW+CCaczCScVINI42gMa5vZpTLM8ZPEtTAKaOAhjUrBQCgOFQRMR4MU2joUkMAQKGxIDT 3A4aA0JyAEt6pEWgNvqEQCOiSwtIjDPcO+CjUYwYSVJUKAs/FD8ACFd9C3oFH35nIQMZbwsDEQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0014_image116.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wKjAxMQJYl2OZWQAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYFpgeMQkCWGhs/gxTDf5BiBgEg/wCQtQyIFwANOgbE3FA1PAy+iSUZIZUFqQwM AWC7fzMp/Ie4cALIUgYWJgaBkMzc1GIFv9RyhaD83MQ8hh1L3pcfBGIFg4/lR/nTilmA6nSBqjmA tBHXA8a/DCCtjpUQ8xr+wcwDijKBzAuuzE3KzwG6TJBL0OGjEA7zGBlA9Ae4uQ2MGmBz0yu5oK7n AvsQ7Eyo24XAaqFub2BkYmIKriwuSc1lKAaZywDUocjQBdEABDGfhRhgbofYxcjADJYBABt56n2o AQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0014_image117.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGAAcAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMACgAQ AA4AgwAAAFEKH0YKG1oJIXoHKn8HK2EJI2gIJW8IJ3QIKJkAM4QGLY0FL5UDMYgGLgECAwREEACi ihxqyS0NAxrAfNzGDMABIE1QvgnQqG+ZJERdComjlx5XSQEz1Igly4uIlDiMS0CTETtKnQrBUcFl 0qKS5pbJjQAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0014_image118.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6VTO0sDQRCemUuidyoJUVDU4kTQSDBIsBViZWUKY2NnxPMBuUQugXBdakmRWiz9 EZax0UpbC8FHKQgasBAFz925TdQYwcfBHt+3O49vZnbPT4/3gL+6ngqgLlEtgyCAFiTxg1E+DYql UxMRokJInucxSuCQ2utp2fVSKlDXowJNhMIwDJ40hojMJtChWBWR6EkTPsqmFxazpa1ld8cCeIBu sftMvof8AmJNox97gIBWNIn6BUJd6nyhyqtvWUO2J4gsb9tW0UxbZXOpYGfzcHhwXz4Sy5xplOPh jSs/JnKupLFKcV26JlyfV7VQQPJZxfNY6JZ8yjUUL7KGecfKxsDXYHp/00Bc30NLyzXddnEup8lt 5skWbwQljyl+hvt8Pu900EFSR8a11wo5gIsRo++xEf22F74Oaum4CckQcadDjz/FzQ0a5vdx2+tb pUmSIea+6MVfzq5db5r1rqu+3GmX3Ke04nUax499eq8H/zWvqlbnu7LgNOtLgeSZTnna5xH++Tzy eML1bTqGejUGvyy+buoORtlWzaiCRJRxiyXLhisZF4THGOyyg3yskccotNeksf8btp1ROyAEAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0014_image119.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhlgBFAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwCN ADgAhAAAAHAKC5IJCoIKCp8JCqsICbYICcoHCMAICNIHB9sGB9kHB+IGBvEEBOoFBf8AAPgDA+4F BvgEBO0FBQECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwX/ICCOZGmeaKqubLsK jIsyg2zf+Fg0eU8eDoEPIGgghkhk40FI3hIJJ8ARlVpZxYfiykI4rg0Dd2xiCByPAPk0eAithEdt PQ7wCo8DvcTgcRsxe1cJBSIQECYBBgoPAAdaOmgPVZEPDw2UAG16I49fnQ+FMo9qglJ+jqElDUsP BgEKnwkQhWeoCK4iCZAiuE29lnIicZwycUemSQjIAAEPgSWWb8O51MgQjSLO2QAMaSOqDW8NnzYC z8lJ5SLepSSWJYzRfg7r8IbcBlWBB4g5D/7S9SiQCUCcggDujcAWrKEJA5LAcSMR49wcHAoF4pDU 0FJAidEmJpqVoA23jCNi/zgQ0wOlRhcwTngTBfKdMBKiBkBwUEohtpGLUIgU+vGlCwW/SsRZl1Ck ty0jYgJY4k6ht2kiBByAZmJoInRGZRRJsSRp0xJ4JqkpIiqjQl8lvFyMlnDFMRYDGF06QqAoGQEQ uJZAA+GXAUtzAexqSMlblAGLHTXLE49m17oqHiU2oTOICAPYBI/BFYxZ1o7eOsZd0sDyAG9GADCi wQ6VCKgnTqoAxIKROwB4TIdN54zmyhS6UVhk4ZLJcKOgdSG0GSyFA+EosLEE9/t5ugTXvwmlawKK i8WbvRtd8CCCCpEizxRrQTi9eoEFJExArrB6SqxHAQSgDB0V6NV9COoiTf+CDCaDCwT2NSghRuU9 wNSEGJrjlUtkGOjhhyCGKOKIJPpHwmG52UZeVyFmONwj8wFwGHYicOhihqmVJEIBO4134I3g5Paj RMlt5AAEQkBkiQOW0TXkjT8+WeSTKNRzQzZUYjhkljW+kwyWQOYmVCPwIeelIKqFueKZQ0W5ZodB hrVLCgQk0AomAwCG2Zl7xnnZm1xMxCUX53hVRBhzBEBaDGX6aSCgg17Zn417RFTCI9Pd1ehZgPbp p5o4GEDapQ/QWGMTjXLYZpd8gnrDFxnFgVtuPVHHaatNmeipq+ehOhFVLkRKIK83SKUQHtOZeYWw xPJUIzeMmNUCs8oSK4NzqDUB8JMJhTYkrbVh2XPSj4UmC65GCZg1aQpt+HWuUSDK5gYKuJj77nAK nZMsGknpquu9aE60S5M1+rUpwKagtEsCWOEx6627IkyHSwKAF0wDCrzi5KcSu0gmxx1PCGbEITeo G7UlC3RyyhkezDKD/t4XAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0014_image120.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wKjAxMQJYl2OZWQAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYFpgeMQkCWGhs/gxTDf5BiBgEg/wCQtQyIFwANOgbE3FA1PAy+iSUZIZUFqQwM AWC7fzMp/Ie4cALIUgYWJgaBkMzc1GIFv9RyhaD83MQ8hh1L3pcfBGIFg4/lSSJpYixAdbpA1RxA 2ojrAeNfBpBWx0qIeQ3/YOYBRZlA5gVX5ibl5zAwaIhwMX75KITDPEYGEP0Bbm4DowbY3PRKLqjr ucA+BDsT6nYhsFqo2xsYmZiYgiuLS1JzGcRA5jIAdSgydEE0AIHAFyEGmNshdjEyMINlAKepVFGo AQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0014_image121.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGAAcAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMACgAQ AA4AgwAAAFEKH0YKG1oJIXoHKn8HK2EJI2gIJW8IJ3QIKJkAM4QGLY0FL5UDMYgGLgECAwREEACi ihxqyS0NAxrAfNzGDMABIE1QvgnQqG+ZJERdComjlx5XSQEz1Igly4uIlDiMS0CTETtKnQrBUcFl 0qKS5pbJjQAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0014_image122.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhuABPAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAC2 AE0AgAAAAAAAAAL/RI6py+0Po5y02guB3rz7D4biSJbmiaZqeKzuC8fyTLf0jef6Dtr8DwwKe4Gh 8YisFZPMppO1fEqnSB/1itVZs9yua+sNi0XgsflcPqu96bX72n7LnfG5/Vi/64H5vT/X9ycoEzho uFJ4qGiSuOgI9Rj50ihZSVkZeYnpqLmp2OlpCBoqOErqZ3qql6pqx9oq9wrrJjurVmtrhpsrtsvL FvUr6SucRVwMF4y8eLws1exMpxw9CE2dZH2NN629l90t9A3Oxz0+J26+g54OWM6+tv6uJH8XTx9j fz/prh+W36/iH0AUAgcy4mcQS8GEIxYyhPSwF8KITxxS7GDx4oaMHhoNTOxY5SNIIxw1lrx4kmLK iBhaunwJM6bMmQgKAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0117.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Holographic Proof of Strong Subadditivity

= ; &n= bsp; = ; &n= bsp; [06’ Hirata-TT, 07’ Headrick-TT]

The strong subadditivity is known as the most important

inequality satisfied by EE. = ; [Lieb-Ruskai 73’]

= ; &n= bsp;

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0117_image123.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC5WUPUjDQBTH37ukmqathiKi4hARCuIHouLi4tckKGjd1EGhomKtolAyBLII4qSL g6Obq06CgovdnJ0yOqvoJhjvrrmQFxS0cM375b3/vX/ucnl6rJ2D/N1bng5pEc3PoAi0FQbAoFNm U3ykmYoYYhghC4JARgPYFt7LRHVZ5un3Vp5HhYZm6IBAFIMluvHokg+PQ4/ONWFNFmZXDzYWnd0S wKvs/cm8r7rDE9EUdAbW4ma5tG/Plar2QqW8ugNHly/VUz7swbfqQ+v6O58Q+nm1wa9DZk27zQnp gKO4Iycs2nadXWyxRL4v4vVmmh81UHLdjx0oP/gvPwji+hr5KujLWTHDlK34MC14IuKFBpofTgme jHiaUe7GuN7Hu6Z43sebTHw+H89NmnfSVE/7+0j7+0j7+6j6J/cN/7lv9XXCaP9Ope+irfjCoLyk Ux6HOLv4nKN8ZlCmeheV/of3j4nnKDrltco2wFa7OfPxlv/jfte0PbnevZHP3UbB1xGPafG8iw9Z yrTeRVWffC+TPpdazZfffSbXu6A/puJ9C/oVxtnHkQxlw6RM9T4qvRmeclN+CeRxDs94XvYOvXvI GCs6+welMrwLn8AVXXAsBeLP+shDco01qf8Gk0PUL9AEAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0117_image124.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhBgFKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUACAD8 ADsAgwAAAFEKH0YKG1oJIXQIKGEJI28IJ2gIJX8HK3oHKoQGLZkAM5EEMJUDMY0FL4gGLgT/EEgQ 1FqMgNKm/2AojuRUXdnWlWzrgiemcW9t32Kc0vgYNI6BxNBYPHrI1i84LB6TUNJSCCAao9jotHnN SiwCz2Gh8WbBYrJZ9KDW0JNxeU1nwSXy9QW0KNRFCy57H31/HgMPDwE1gx6FhlGBLY0Tj15FBoRh kI4umJqcEwMMCJssn46moTiSpwuZqWsIF4urIa0lswu1tiAHpKoiury9Sbgkw6EOCw3Exccky83F Ib+lJdLO1DbQI9mhFg1uz2/M49t4DXMi4efoguXiobruod3IF/XFBw7rwvnvuNmgF4oAM216Lihc qJCFwWnorAUb8RBhQAkMM1ISUVEPiFkO/6jd6/QB5LZR10ZAM3lxEouVC0J6GdBto70SNG+NrIMo 5YicfHa2rISzplAbBmoyUPmSoUsSSW8treR0UsN7iBS1iMpn6q2mCwVdfVmCKyGvADLeSLAgwYek /qg+xUiWBFu3HuASIkkCl00JbV7cfatG59y0dTEeFTo4b2GikF88uICg1gEggBAn1ty3xOQFldPJ 5Ms5M+kkn0MDuDx679HSQo+9FpraMua9ke1i+CHEwLKYB5j6NV2aKQl5vi84CM4nd03cOjXaRP57 ufDTkWU3x/71eO/qzKG/BjDZAdqnw6OPNxMW+3pOktIHtam9ZXtGAmF3p9tLfvH/78THnf9/xb1X B4ElHPCEWFep5Rw5RGmUW0BOSfhgWg4aSAeCPy0ID38gkqahMSJuN6EtrXBIYH0nwsddCAjEVYJ/ 0HBoyIr7jRhJidD9V2OLkNgYSSMNhYjhfas4+GKRzxBJJCFV9UiVjkgoOdSVWGap5ZZcdunll2CG KeaYZJZp5plopqnmmmy26eabcMYp55x01mnnnXjmqeeefPbp55+ABirooIQWauihiNKpwwwrbLmo CmA+ygMkkjZa5hZVOMElplZ46CgQVHTKCaeannnHao9leWoenAR2w6qp1gGrjGHS5weKYvFxKyRZ WaRSjbveMBuwaKJSyUQ3evIKKKughKz/CMZi9OxhI0Sb1rRfJhOgC9q+I1EL3e7IQrhrfoPOeuYG 9C02B2UxXrpstnNuPPrso44d5mCxnrxuEiTSQABdxA+tJQVM4gv+ttlRkNIhyVG7EQHzwsIvNOww CBSXCVNrSW4mAUvFODvjRzFBERvJHIsJFJT/krCyI1Ti0BO2Erws18Ei2KzYmWY5ct6LMF+8nwg9 V4KWlX2NFUKvLhSN0c9GGke0UvMFEnMdjU2gl2GbLVZC1kPEKqRz97jqAthVxLoztR+gvTXZW9Ym WmazAQ3kBHKvdhuPUkeNRN6sfTXeToDvbeS7Kf9BnXLhNWdjimx/sDhwOQ4oZdDShTC5aHWCfwjt d4yb6HcIDiQ+lIBACg0fk1Ff7QXqHc8JO4Bjb8j33S27XrHsYVkYou67R6gk8CarfqDsF/ZI/GEI sgghgH84jyaNoi/f9eWcWe859NHjXquTkGP+141Rpj4+wymef6D6LUUAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0117_image125.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIgHiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAg AeAAggAAAAD//2YAZpkzAJDDb6DDOv8AAP8jAAP/KLrc/jDKSau9OOvNu/9gKI5kaZ5omgFs675w LM90bd94ru987//AoIwhLBqPyKRyyWQSm9CodEqtLp/WrHbL7R6x3rB4TM6Cy+i0ep07s9/w+Ngt r9vvzgV+z+8D6X6BgoKAg4aHcoWIi4xkio2QkVaPkpWWSpSXmps+mZyfoDSeoaSlo6WonKeprJWr rbCMr7G0g7O1uHy3ubx1u73AbL/BxGXDxchex8nMZnrN0InP0dRry9XYSNfZ3EHb3eA83+HkN+Pl 6EPT6eyY6+3wRefx6fP05fb34fn63fz92f4BrCZwYLSCBpshTJhsIcNiDh8GiyixF8WKuS5irKVx /2Osjh5bgQyZaiRJU+9O6jOpEhTLlqpSwoT3cualmjZdycyJDidPSD5/ytopFFzQooeOIrVFdCk2 pU79QI2qqylVaFOv3smq1ZfVrsi4goUjdqywr2aBlU2bZi1bYyriyp1Lt67du3jz6t3Lt6+Et4AD Cx5MuLDhw4gTK17MuLHjx5AjS55MubLly5gza97MubPnz6BDix5NurTp06hTq17NunWxAbBjy55N u7bt27hz697Nu7fv38CDCx9OfDeQAa69IP+xPPmW5j2gO7cifUf16VOu59COHQr3G9+7Lwlfg7x4 JOZnpD9fZH0M9+yPy48vBf4L+/R54G+xP//2+f/+MdEfAAMGWB6A4Big4IIMNujggtkMWGAoDzLY QgAXZsgChhteWKGFwEgITIUAYGhiiSieqGKKLK7oIoskwiJiLA5y2GKGJ3aY4406otijjSvq6GAp M5bS4I0vJonkkko2ySSKR25SJCcWAqmhj1ha2eGWWV6pZZdcfvkliJJMWQmDTqb5pJpsrummiWQu YmYjEP6IY5c7Bsnjnnr2yaKdgPIJQJyCzHkIhG0m+uaiijaKZJ2BGOoHmWJ6aWmYl4KpaaWYdrpp phxCuoekeyjo6KmMporqqiUqyAepdUDqZ55/CkrrrXjmaiWuu+p6Z69WihoHrHC4yuqxqiaLrKL/ rspB7BrNcvqpp9JWC+q11GI77bYBNPvGs2gYq+y4y5JrLqveqgHuGKbWOquvgb4LbAsffsjrr/jG 6+6+OQo7xrpeiFsuuvUCQIDBCB+scMIG1yvwuecakAbAW0SrrbXZcvkgAQpzbLDHHHcs8scjh0zy xw9ye/HF6YZBcRYSD5zqkQvXzLDNON+sc842Hymzky1z8TIV3sqbr61Y0hyyyUsz3bTIS5Mc9dNQ O930oFUebbS+3YoxtBQG/MykhTzvbHbZaJ+tds8Liq2ixMohKEa7Gavc6YJWn5z33iD3XbLfegPO 998EtL1y3aHC/ZzcAUOcJt5rR5725JJXzrPh/2IrnsXXS8SsNb/wYm311E9LPfrpfpN+NdWmp466 yOJyHfqJmlfBeRKeZ+4q5bxb7nvvwCPcrsy1Z8e4Fp4jzrIBgjdPeODPDw799NJXL3jRh2tafBS3 G5G74yky//v4vB9gfvDoVz48+Ns30b0QySM9b48Ksm5/6fev/rT5/JtfwP/941/+VEfA17WucN+b H9LaN57jEQ18b5NY+iaIsP79rwAAuGAG/7dBDBZAgOQL4cISaC4GJuF9QAhb9jglPutFz3nQ898F Z0jDGtLQfNSDoQunRze7ac94zOGCCgfWQhGOz38ZTKIHlcjEJToRAOcz4gSHGDEg+mBCPVCh7P8U CKeque6LXgzjxw5gwzKasYznE+MADWg/KnKRXyY0AgqzCMFWUZCCB+igHjXIRw720YN+/KAUyedG csVRCHPcgeIwNq0W6vCRL+wYGc9IyUpe8ACQzGEkTxY/RgaLew6EQiHRNcjg5fGJqGyiKlO5xDze cXwkbNQhg5DIHMBtaws8oC7XCMYxWvKXlsRkL3mpxtKRcIse8k4omRBLQ74SfZMEpDT3GMhp/nGP mCyl5UaZrFkG8ZtV0KIPxcS8TO5wcNEEpjrRqMl2npNjt1whvdy3TCVwE1US1CblTrnKfrLSn0x0 pT4j18xEeTM69cQd6N7YL/05tIDDXFo610n/0RkKk434y+hDC8dQXx1UPwlFwj3Hlc9nVu6U1aSm NVN6zT4K1KSUKyijPmqdkB6hk/LcUDk3+U7CTbSiFb2oO83pvHgqT2P0BOcURuqokg60bPz8p1QB msqXPtVsMmUTTXVQyxsscqGf61YxNxrR1f0UqOoU5i41ClExHlN+Gdrqf5QKtp8VEaZri6ZK99pS lvoxm3idHFNnmtQrWgGnR+1SOYfKUx2eFa2UBCxRG1sycXrySnLFQVdtMNimXnVyZKSqaKUK2M9i FYKZBY9Nb3ovZHZoscRcK1kPJkPIRnasbZUt6b7n2halVrV0BVsdaWdatOm1rytNbgZLG1i1/2V1 ZsoMrnATay3YTpaxequtbS8pWcpi12lfpa6GfmuDzXrVbYMqrtqQOFXSWrW5ZXuuQUEp3bqCtbcY su5sdYtRAvAvqGnEbX9zi8D7wpUF5C3vakU6XBjdVb046x9fAwjfbWauPgtm8GWPurvr9nR6AaTw dz0Mwx5u+IcYrq990ZvfB1f4xcV9GBGtiFAh4tfAEWTrgHdcVgLruMfwjGdrD9wqKphXB51ln4sh zOTeIarBcLJdhu0p3irjjcTe/bCWi4rYcYIqwVydsj1Z/Kj6NfnMOMMclMO3OTFTmci4nNWV9xvb Ov9YwAhcX0f3nMw2qxhmZG5Sg2BM6KwFmv/NWjiyD4zq5SpnadBYHjFlo3TiSvc50W5mpnzX7KIh Edq5DTr047qg6BTCGceoplWFeDxWEg05zqlOGpj/rGA1bFrUa3KYriuEa3x6LdNRMHFOG01sSzva 2I0O2uJoHQYZc/rZvX62soUG7Ae+OtZ8vvG1tz07bONr1kcotUiTHO1yQ3ts4A53tQ8r7GMPG9nw fre2pv1rZtv61uc2t6jp/a91C1HI3eZ2tk8t8LAG/NH8JoO4wYZvfedbyXdY+FKx5+6KF1ve4vXX sPxNhic7/OPdTPi3OB4u7BVc2wcfOKxVLfKN23tSaga5zAkVKZIXy2IWj3fOv9zyUdlcDqFifri+ oxQJib8h6Cr3NsrnRfMy/TwQQ5L5m4YUCqP3IWU7zzjWWWH1Q9lLyR8K0dONtOuyV6Pr50G7eNTe HbZjx+3Tgbtz5J4curvG7q3BO2skVJy++/3vgA+84AdPeOLcIAEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0133.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•The holographic proof of this inequality is very quick !

•　　　　　　　　= 2288;　　　　　　 =

•

<= /p:recolorinfo>

=3D

<= /p:recolorinfo>

<= span lang=3DJA style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PG= othic"; mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>

=3D

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0133_image126.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYIOTAxMAJYn30YwQxmO8yMjAwMciAZVmBmJMJxmJiZISyGJn+//8P ZukxSkDFuOHqeJgcmBYICQFZamz8DFIM/0GKGQSA/ANA1jIgTgBKPgMaxg1Vw8Pgm1iSEVJZkMrA kAC2+zdTwz+ICyeALGVgYWIQCMnMTS1W8EstVwjKz03MY+hY+b58IhArGHws/y2StpYFqE4XqJoD SBtxNTA2CYKcpKAA4wdxMaLw5zBC5CH2KfyH2cdIkn2MDCD6A9zeB4w3BUAmOCnA+Fd5QXxnOH8b D6r8VG4Q3xHOz+NAVe/Pjqo+gQWVb88M0Y8ebowkhhvEH4zw8GME+yMYHl6buFD55Wyo/BgmCB9L /DGB3BFcmZuUn8PAMF2By+/LRyEiw7OB8SEfyAhtuD09nCD+Zjg/nBVVXo8BxL+HEa/o7ohT5JqE 2x3o4fGAMYAX2Z4HjCo8qPyX7Kj8c8wQPhc0lXOBcwI4OUPTuBDYbKjbGhiZmJiCK4tLUnMZ1oLc wQDUocjQBdYAIgS+CDGghxEzWD8AzIsbzdADAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0133_image127.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAElAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUACAAL ARcAgwAAAAwbMAseNwshPQgrVQkoTgsjQgYvXgcuWwctWAkqUgonSwolRwMxYwAzZgUwYAT/EMhJ q70YBNLcK4DRZGRpnlv3hePpvm7qgSJs3/gkr3Xu643DQFJwOBC/ZCYQHAKKR6X0whQSjcip9lZ1 QrPbV8LhvCrC0nH56Tij02RK0f2uX9Tytt1ktDgWezl9FX+BAAhrLoMUhYaBixONPkwMOEaJcY4A DoqZkYlvAwgHlS+XhKCaiienjKk2Bg6lMGMPhKqbLrW3mgIED7Mlu4y4lifDkVMMsjYCHQfFxCfO DtDROr+AJdTW18Ym3KZG4+Tl5ATNHQ0C15wu1OveEgEKKyTw7PIw7uDq+WHLwLzzF43fNIL6ntjD gC/hqoEO4qER0cAADHgF00V0WGAhQ3UO/1ldBPkmlsGDDtDtMceyX0pvATqCQKkyZCSW5bZ1qKlF xAOLJE4CWNZClVA/FohG2wAsaNKNNjMclUZB6ZZlCUwMOArJ0dQJWy90DcQ02IWwfr5GVYuWkNpN OOPqMbGAazekJcyJJFFX7F29fMblwiCK1Im+fu5SDZozcJ+3EtQiJvS38YtlZjMomDuhbubIkAdH 5lNiMx0JnnmNdnozA6IXpiukTvtwtVRGodXGpjA7me8TsT5jQGCEQL66PInlXozhLfGUx1+qFi12 epLnxlFLvxWautqT3dVij57ce4wGwjE0GLLggBHDzc1Xt806w3oA7d9/5mdQKHjGclVwX49+1QjH yX/zycdceCQM6F6BCXbnFX1TkVOQYAva5A6CaXXFoTwWrkVhgtQZ0l+GIW1o3Yi/0dcOcyBa2FKL Ekpx4ow12tHYjCPimNCJKdJIYo5JAOnih0a1WCKLR674CIwvCjkdkT8Y6aJoVCph5ZJb+qekiVAW gyFc/LkVoiaAQTmmUYusCZ5lX5IppmURAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0133_image128.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBwYGxgZOYEsS7FMTIAGcxzgWwmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD1MDowOjEJClxsbPIMXwH6SYQQDIPwBkPQPxgAalATE3VA0Pg29iSUZIZUEqA4MC 2O7fTA3/IC6cALKUiYWJQSC4MjcpP4eBwUCIS+3LRyEGhZXvyzWBWMHgY3mcRFoFC1ChLlA1B5A2 4nJgNAFZw7C5kgtqCxfYJYxgUyF2CIHVQu1oYGRiYgquLC5JzWVgAJnHANShyNAF1gDSKfBFiAFi ByOY/gCUYQbrBwCSeAAYUAEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0133_image129.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh2QBgAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALBUAAQDC AFwAgwAAAAAAAAcGBgsJCgYFBQoICQsKCggHBwUEBAwKCwkICAAAgAAzAIAAAMwAAAECAwT/MIBJ q7046827/2AojiQllWiqrmzrVucrz3RtZ/GtW/nuX71W8GcbEn1GVfL4WjJrzlL0qaQepyOslaTd VmddLygs5tLIZQ46PT6zXet3J76hy013sDufsvN5Zw4Of2aELH4YAYKLgoZzjiuIQACMlYOQgJgo kpkUlouaAJx/AQwMMkmfmKN8paanQh6Vjqx5Eq+mhyCzf7iwoR8xuJEijL2+w8AaPclSJMZ3wsjN yqIY1CFr0G9G07nK3a+FJaDcHsjAS9iPKeVpXeuETvHLK+5iZPTR5+IeiPdb1vQzhEUfjBaNysQx qDAEQ0kAqdgZaEuEQU4JvfihKCcfx4MI/y9pZPHxHQl6GEUGbPFt38mWneyptCKpJD4UJVM2ZPnL HE6YE3Te5FkxBVBrLCI+4XR058+eSGWaJNl0qFGo/zKOpNpqBcWsbBDZtHoVxoKzC8hp3aqiqtOr vwKgnZv2g1KaXt2SLRuUAt25G+7ibQu1I09YQ/6evSDYSoPHkBtY1NtBwIAiLr45+etpbZrIoCV3 GPthgAACBfZwjcqBbuOVFEKLzkA6hIEDCFI3mU34VBe6pDKAvlZbRALcug89JhrGAeCiwiNXKF7i OAIFyiHnZc3B2HOfG4ZTr67gui7pcKfwAvB9aofIlFFYT05sAvoSppys94sWvAftM8yHSv8F942Q XwaWaNAeWx88VlgKpqGmWmzLvRREgq0t5l6DDcQHgmWYXVChgQzEgOEH/b31noPjMUghbyAceGII KbqoAXoM+RPAjjzyqAsGIzpU4jYlaGijiAUC0KJE0VnoGQlGwnYjgBcsyYQRQX7wCidRDgZkkhZ4 6KUFWfLDXQpdMknmcBxYSQSWMJrJZV1syRajmFd+GedovrmQ5lJ2ktjVmnu2mYskNW7BJn54vkkg lUL2xcKfT5TJaEWhXXomlJTmSVQ0i5KI2KR07vWULZZOhocKiR750qC9rYpCq65O9qCKmko6a6m4 vgrrqbJyyqupogYHV0wi0EqskLdu6CvISCMou+ydBB2LLIqd1spPs86qOgmN0vaqZaNqvvTgb+GK yye3YTF6KxYLQsfsKubWk2G67dqqiUfcLgEcvfPuq28dGHAWCjzkTkscu9wZnM64CSscpocnOFzN FDnKq0HG7FlczaYU+PIxyNO1KFe2Dy/spn9VWlkLWdOMDG3LCb+skTcMC0xzzonITBs6Pn8bMsc9 Bz0xzx9Ls/LMRpPctDUi1/e00027EjEOU+uadclIB7O1zW9cvbUaY19bttRng5212t2yEAEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0133_image130.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBwEHBgYuAEsQR9GEEM5r2MDAxMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYHJgcBISBLjY2fQYrhP0gxgwCQfwDIWgbiATnPgIZxQ9XwMPgmlmSEVBakMjAk gO3+zdTwD+LCCSBLGViYGARCMnNTixX8UssVgvJzE/MYOla+L58IxAoGH8tXKKatYgGq0wWq5gDS RlwNjFr8ICcpKMD4QVyMKPw5jBB5iH0K/2H2MZJkHyMDiP4At/cBYw4fyARnBRh/KjeI7wjn53Gg yvuzg/hOcH4CCyrfnhmiHz1cGEkMF4g7GeHhs5AXZEIwPDw2caHyy9lQ+TFMED6W+GECuSO4Mjcp PwcoJ8K18ctHISLDq4GxkQdkhDbcnh5OEH8znB/OiiqvxwDi38OIN3R3xClyTcPtDvTweMD4kh3Z ngeM55ghfC5oKuUCp2RwcoSmUSGwXqjdDYxMTEzBlcUlqbkMq0D2MAB1KDJ0gTWACIEvQgzoYcAM 1g8A7N9Q4pADAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0133_image131.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh/gAmAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQACQDn ABYAgwAAAAseNwwbMAshPQctWAkoTgsjQgYvXgonSwcuWwolRwgrVQkqUgAzZgUwYAMxYwT/EMhJ q70YBNKaK4DxZGRpnlv3hePpvm7qgSJsU/Ja3/wVPIeBBPFoJHpIFFAIIBqT0NIvOCweo9Jl9Ynl cQQURQPULX/D43ImwYSdJ2Ky2vKWxKEHRa9jaRjmJA0ufBV+gBYDCQkBMIQUhnuDgoV/UAt6N0UI hWCHF5MmmpyeiA4LnaENm4+oN6AloqwZHbS1trSYMAsdjKQlryS7Db2+JAqmrRjCxFHAGcueCws3 Bw0PzMWFL9XX2SXHpyXc2EjOGeOeB1du1m3eE+YZHA/u7xYKD3IY8/WRL/zpHlR6IaxftnjPOhi0 B0DBAX3KFDazUfDQAEcvClgjN+eWRxMa/7sxhIPMRUiOgTzaArkR0AEHA2dZ2HVgJEJ4MxvUHDmg pMwKNKHclOAsqJoEBE5c/DQU0NClfZqqSRSOBNRCUgOVuPooq4sFDFwgMOfhZ8paJ4aO/eSgK9q0 tADES7ToxNo+bTFIVUs2L7y4KgM3yGWCQYOwFMZC/Jv2kYmhhhFPUKwN56+uGNi8iFyBMtPGJDgn TmOZqNdLMBJ0WNAL384+ckETfVxCdQPWdoDALq23chTbuBvq/hSbNgngrYfPduwijw16TarpJKwN GFneZjFARyDd+e7i2MEvZxrYwvbu1B3vhSWEewfv2L0eHE//L8Z3b5mHH2lZfhL/NtXnzFMrAP6n n4D89SaeLwXi99ZH9DXoz3IQSqjGSt5YWAwo1n234IYHLtghfxzi51uCB47Im4Y2EOjheCzy4KKJ 9aEYl2kz4nijg/mFiCOJjux4EEYRAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0133_image132.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh1QBnAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALBYAAQC9 AGQAgwAAAAAAAAcGBgsKCgsJCggHBwwKCwUEBAoICQYFBQkICAAAgAAzAJkzAMwAAAECAwT/MIBJ q7046827/2AojqJEnmiqrmyLmW4sz3StwXae4XrP8SWfkAIcGgFFUPIoWzJ1zk70uZpSZ9bb1Zbd trovLw0sTpEt5/JP3UsT2S43/CNHzln1+6ae1/f1YSh/c4OAFXyGgokxdQ6OjotKkV8pj5aQkzuZ VWYTl5abFQwMoYqmFp8Om6OspSOIGp+ZAayjrpKnG5eRJrWkt2u5HLuGOL7AWsIdoIBAx8hovyRp zIQZz9BIta8n1WxO2MC0vrYejZjfHdvIMOTlySiPcFnrrs7umiryal3hsxvkLvxBJ4ZMvX/qDg4k uCXNwUX91g1ieMXNw2IithWi+KROK14k/1htVFVQxcdEFhmMLNPnZLMTo1aWXOHyTkqZXgbVnDei Fs6GLnbyy9jqZ8UYQmd+ODmRI5NCE97x9KCwhdOnMqSm43BxIUkxSUNqZQnwop0VV4+4k4ZirFIL /iosmFsp7ZFxa2GyHQrXrNy5gBeI2MeXAr4QYY8a9osmsGPBy74WvhBXg9uZlfNReEw3A+HJGBiL urxBwAAomeFZ4HzhM+hrpBeTICCggAEuiVVncEzB9WvYe/sGB0HggO0xw+l8cOz7N/DnKhAYv82o EwjeL0EIjS0CQQIF1ZUNC5xdu9bcIxIciGPdAyjAfnq2Ej1COnj24ltXg29NfuoRxR0X3v8JURDz F2RbidBAA6w00AJtAjbRnn7NTcCfcxksqOGGC6ZAmwDUjTFhb97s1hlZHnDoIAUboiAAAVBMKMty J+bUAYcaaIiRKTOGUCNQOep4Y4evBGDkkUfi142BI1wI5AU4fkCkTXXZ5cGPVAARZQhTTkWgC1h2 VMGWCnaJoTlgIvhkiymYieKXLYSJFZsqCJngNGmWQWadK97JTZxqPrHnCm7amF+TchpRKKF9nikF oI6eYOebeK7g5JMxTPrWnyokitUMiyoGZwqXYupCqFlqqlyngRqaKaodqRhCHqWaygKsYqqoqkCk eirmqbu6OoGujaKBQq3C8onrrxjoyivICcgmK2mwlGZIZhrRSlsmtdVuEOUZ2WorJZ07gtAiGeGK y8Gg5XG5IBjpqmstt1SS8C6NvnYbJL3xjaDhFNhBNCS5oZDBoRMBg7QvvyiZy2YSCU9ShKzZnOXt tatFjBCL7IqzsKowPMbOsB1DwwOxN4icTQAUV/wsyhxofEvJLiPR8pWtZrNsxSzvbGzNbwC9x4gu Q9XwoSMLrVsQShtdbqVCO90up0BL3e+oVSu99KxaW10v1jV73Z/WSEdNNtFni32L2n6KEAEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•EE from AdS3/CFT2

•

•Consider AdS3 in the global coordinate

•

•In this case, the minimal surface is a geodesic line which

•starts at = ; &n= bsp; and ends at = ; &n= bsp;

•( = ; &n= bsp; ) .

•

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image133.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBgiQdmBi4AQxAt0ZQQzm74wMDEwMMmBJViDmZIKxmBgZoSxGpv///4NZ eowSUDFuuDoeJqCZ0kJAlhobP4MUw3+QYgYBIP8AkLUdiA9IMTCA7OGGquFh8E0syQipLEhlYAgA 2/2bqeEfxIETQJYysDAxCIRk5qYWK/illisE5ecm5jHsWPK+/CAQKxh8LD8sk1bGAlSnC1TNAaSN uBYw/pMEOUlTD8a3EwcZpaDHCeU/EALpKM7My4CpmMENVpEJU/GPDaQiOb8YrqKIFaRCIx/iRoX/ 5LmRkQFEf4C79QtDsiTICKN8GL9ZFJX/WwCV78qLyr/Licq/zoLKX80I4aOHLSiyQe4OrsxNys9h YNgrwbX5y0chnGELcTcjPIwjJEDmFubD+FFiIH4RnP+NH5W/hQvCx+IOCsIPGHPguE2B22PGj8r/ BE6eKSUw/iVmkHwQnG/FAJYvxpL20MNnCynhc0kQZIR2MYwvw4fK/wNOT7pw/iwmEN+2mAuaM7jA uQecvKD5QghsNtRtDYxMTEzBlcUlqbkMZSB3MAB1KDJ0gTWACIEvQgzoYcYM1g8ASTR2hQQEAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image134.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhcQEiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQBr ARkAgwAAAEYKG1EKH1oJIW8IJ3QIKGEJI2gIJX8HK3oHKpkAM4gGLoQGLY0FL5EEMJUDMQT/EMhJ a1XY6s07Vl0ojqT1lah4pqyatXC7xvT11t4E4uMO+LxgTgIUDn9Glq+YrC2bSh1Uw5xSqlYjNivl krZeFDh8IY+hZ3JUXWZz0m5q/NgafBSBd3wrWMwnAQQMVXAsdh95JlCHGIkhhSwNDSSBgxuQKIx4 FgUOCg4CXRMLjiV2DnQ4dxgPDAZtFgYOA38SDp6EWaeXVrs9VpIktzewi58VAg4FEgwPohIHsykE Cgh6SYOTAAYNCgfPFAIPobU6TJgs1NaKVuq/5TZyWe4T4t8Sdq9VA+Mog6/y0HUooGCZhADHkCik 4IAAPHNtBJL4RwHBgR0SRVB8ROQhkXMd/6dstLUOX0GMnFCVeIBllZFBtCC6pFDAmccfQGZCYRlu VcYQPB/duUkM54wmQSUk2DRBU1EJDwyKEKBAmxoFNiVQVcnhQUkW3LB+BTBgUFWAExKwZEAVIgFP flIkwMV2atUJBh5w/cKCqtW0dMmVAKNWAVsQlXYkBhBNQVy3cGHMxVC3g19A1SoQRLsBQVYNnRQk ICi1T9UACaAYMExhkEMOF++xOPCA1mqrtF8FGJRaqcMABJeIpkVwbIcDC0IJ6LaXpqfRBSV0w2A8 FYfQ0KUyTg5gecLBHBL8Dg5g2A7zCYhnNpceQPEUyJUzB/2c9AQECmJO6FZKAzXZFUhCy/9S+U3g iQDU9JbEUvcYsMB6HMBUhzejaIMQgJ7EBARB5giGFQm09VRggA0MiIF+S3H2TggCAkCgfiHWc6IY 10jA4UdXKODhZxjsiEKMWs1IQYsvHuTTB81pYAcDGjSQlR08YiTYG0cOZYEnLFGnHwfdwGCJBvhV cBGTADxAipEQpRkCVWMJud+THxqIzhlONhVndxB+tKUKXZ0JAEJq4pTjoIGumSdOW9ZpUlYJVtCo Cn8xM+I2rI2iwGtQIGTTSB5IlFQFnlSA0A4EItAfMU9p8OCUOE0poQSrkYlnpCtu8Cqlsq5qA6sc bVDqqTkFSyiOJOiao2C3xmqpip70d0n/EXY8BgB+mJJ1ZxMXrZNtD0VUaaWgVJzjA4GiDQtuBwg1 ly4F0VZ06QTUaEeltxW0e9+7f35nZJImeFsEuQqeKzCqwo6wLgUHWysttYWuVl24FYw0an8PPozD ILJdSyUMPYbLqr4B4FcusSRz8OgEBAEocSP7TQpehAqgNbEEJ9tIIY3oiqwgwebyPELN7t0MwMpM /RDpg84+W8GnD6oEqLWfdeqvBZ9iLEKXLXQD4D2DyLueD7sJZ+4G3bDaytJANI2ZQGAw/V3ZS8v6 sjx/fjlwwSWn2qSOcVPg9l6OUbBatY9EegMBS2nLt8BC3CZ44CHgtycJBEkDwFuwXntR/yL4QhWo 3mtPGUw8NCcOL2sA1tovvKbnu7h0tKp+RbVZ+Zw33uh2vJ/hPiCep5mAeGVKpS1/Q4AA+CXAJH5M XhRwEAF4IneZI8PWeQq4fIAWfg3kwU/G0bnXGzWLj5q6oxhow011Wl+OvGhkupbA+b2STeHxyTNJ vvoNWFx/vwYpQG8ucjMCJsJ8NNMdAkOwP1j1zwLtwx/87kULfjwvBLHZXTKqkQe1BDBsUWnCg+6g H5G5jGr+ixxl9nSA6TBgS3jwTAiN8gKdXMkbrHjhBjZoKhfN0EWOUZHswuGJHnrQFjjEig459oaQ PWCG/sIIvWg4Bk8QsBWT604RO/hDCXGIbIkl8MyQYneTEtSkjH3RFxpHsJU1TqGND+miG2OgjDmO YCmEs6OvrqdHHODxIQSIWh9TII4sDrI8RTvkDZOmSOwlcg7i4FUj2egA+vXxMpNExl0yCQNM1kIW luQkuqSlyD+KUil8POUdU+kG7mwgAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image135.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBw4HRgYuAEsQRDGUEMZi9GBgYmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD5MDkwOnEJClxsbPIMXwH6SYQQDIPwBkLQPxgBY9AxrGDVXDw+CbWJIRUlmQysCQ ALb7N5PCf4gLJ4AsZWBhYhAIycxNLVbwSy1XCMrPTcxj2LHkfflBIFYw+FjuJJk2lQWoTheomgNI G3E9YKznAGk1qISY1/CPPPMYGUD0B6AuTrC5DYxTmEEiCkDAARVxYwYZqgPn9zCBbVZAtxkUtCCb gytzk/JzGBimi3G1fvkohNMnEJsZGWDmzmEHmVsEt0eKFZUvxgDiFypg8TGKvZZiXJG47UX4GGZu ChvICFu4PWmMED4XNP64wHEMDlho7AmB9ULtbmBkYmIKriwuSc1lmAqyhwGoQ5GhC6IBCAS+CDGg +5kZLAMAYKuAyKoCAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image136.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhbwAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwBn ABIAgwAAAAAAAAUEBAoICQcGBggHBwYFBQwKCwsKCgkHCAMDAwcGBwsJCgkICAECAwECAwT/EEg5 RCAz6827/2AofoVxIEEyaomiqGssz1uhTNdsH4ew0MAgiBEY4DAxohEwKAqfUIDgJkEhV4UAoxr4 RSWMReCCgIbHhHKmCWMGGjJLJkCNNkwAQvd5P+T3GQZjg2NqEoSIcwGKX01bAESLOIiDHo5gYxkH AQITm50ymZNfCqCQAQZCpRNEqawBBRMJTjIKkoemQmwTDW9BuxK9cLy0AAquipS3AGJqRF5PgoZT GsqiG9IT1Bm9jy2GSbSXT5sBauM05edaAJUoKgMK4DILAjw+E3pLMk2obvs0+qVqYuTWolkKCvgR gnCYBAPbZAjqt2DejIljKh7C8UVEnRUoMHI9CcnBYEcQAwCOmKWSYbE5HE92aPAoToCFUSzghLlR ZkcUyKAA7WDSp9Gj1TJFAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image137.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC51SPUjDQBR+9/pDkwasGYKIw7k4VS3dheBcRWwHRyukKDS22mLJllEcpDo6S0dn R126OXRydXLVQjfBeO9yPWlpBz243Pdd3vvez73Xl/4dyOVaLoJBaHGPEUhcMwCEFfk3JbaBY4SM KcQwiiKJNtiSustqOwtddC1boLX0AixDRMaQE/xJoB4xC+BdiGWVjQU71fZxJWh6AIcy9hfyKM6w S0EhiZCrnPhei+96Hb7f8Kun8Hj/0XkWmxeGnZJTGySF3bqwzoizaL6xmyy5FoJYL/z+nx4DOj+F lyF1Q9ZL0w0XK6NuDtIkmte8nyS+qfktEi/y6Uyo1ZRJOfCPGnWAbdu8HA3tuZXFmTAY6z6YpHuu 4+Qzk9xNEG9q7gDxMz6jIxN5uI45mp/Hb0fGuhcGSWzpODUW8xn1/uklp+sNU6RQ0nEs2ec6N9Uc mXLW5AOrKbKlr6oxZIhYDlptz4cBxQHhsQpX0oE+uZEN0zUmpP8PzQv0azIDAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image138.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhjwAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwCH ABEAgwAAAAAAAAUEBAoICQcGBgwKCwgHBwYFBQsKCgkHCAsJCgkICAMDAwcGBwECAwECAwT/EEg5 RCAz6817DgFXCF5pnmiKGkeBBIk6KZawpOE2xBroy8Cg0MCYXICFWMEAQ+U0B0TnKaxaO4rAwIiR 8SSgEzVT5Iyv6KugDHh1qwHShODzWTgDwzTNUTRABFJXfoCCEwNNFAE3VQWJAAd1PglnAA0Ke3wZ Cy0AdA1XnAWeAaAZkZIBhqk/HQsMo5Z6AqNRYGYelVeImABZVKxheAG9vxmOcgDIVwxbGQoYI7cb fpmaEgzJWQdW2TMB3N96EpTOQ6YZBJg70xoG5j3Xil8Li1WI9PYT9eYM4UbB8Pw7JMcWgEpsNuiy EsnQmh4BNzSc8PBHvV4JGBgCguBNBQCIjLY4gnaw5AQEA+N9uOJIlaJeQVoK4vVEVZMBGqsgYCAp wTZFxEKMSQBvpVE6RVEgAgdSi5Wl3EKaLEmJgYFYQixI8vMvyxZhGWgpjHjgIZBISxtsDIIWhNp2 C+XJ5ZAQxYtkaO7iaje3b4cBSU2U0zRYoRG/iDcsgKnCAlY0jvdOTUw5yIuUVi7nChMBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image139.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhlwCTAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACV AJEAgQAAAJkAM4AAgAECAwL/hI+py+1vgpx0wouz3ryjCoai5JXmiS5jmKxgCsdyNKbrjOePqB9s D5T9gooX8bgxIhnDpfNDeV6UUiK1CqlggdptMuqNdcOcMbljPpctak26jWbDHeD5qW5vyfP3vR3P hwLYNhgoSDLnZyimuNW4CFMo9QjJGOAlWSmEOEmpuXn55Pk5M1rKSXpkGomaqtqak+mqs2pSOwva c4ubi7PLu+kLC4z0uzNMXIwcF5pcZayy7Px62Dz9LD1lfY297ZbNbeWNAR3e+zVu7vRbrh787U52 2x7PmAFeL56ut5+/hI/PX5BR9ASyOmZQXj8AARPqWlbQ4aEGDSXSGhbRYp9o/xrDYFzYcWCrjCFL jARZksu2iilP6WmJRQ5JmGt8oKQZqxlLnAdp8OwUaufPiTOHkrtU1GgWpDeVHhTq1AMJqFHXJK3K RBZWVle3FunqFQrVsNrGkj1m9ixFsGe1qpXKlqzbt1ab0i2b9q7NuF7f6IXLd+tUu3/XMsyrFxHi u4oJF+bn8zHgyJJr0nBcGdVitZoxP96zWe7K0H29kcaq6HTVj54Zp1Ot9BFsoxBn/5RmG6enwDDB 5W5pinfJgL9D1hKusWJxi7uQO9y5PKEx5/7KUa/XLjr2sdfVpe3OLSL4aSTHEytqnhfp9K66aj+v mr2muPIXBa7PRzj+RNH3q2q57p9H711Gk3lzbdeaJQnCt6CCzPkXoEoDLjWhKBXihWCDr1z4EIff eAiKhkCJiMmBefg1X4R1kbghiCGyeJGJqaCokIqnyCihjTHi+CKMMzbRIY8Z0gjYFTy5YBeSbSHJ pJGJNSmkFwUAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image140.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgBeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAb AFwAgAAAAP8AAAKmBGKpyxvfYnxUWlevpkhf7n1ZOI0kBp0NqDJsq7ywIc81bNo5vre3n5rReiri 6VcMCg9KXWeJPDZ5U+BTaJRenctENvT1hMXV5JbaZZ7R3bFobU67LXNJvQTXysv6Np905/IHNkiW R1j4tndoyLiRqAgViLLo5/h4SQepmWk3GbOJ14lXKTlKamp5KriK0ur1CfsqO6tWG9WIhfsW6jq7 y7uXdpBWAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image141.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wKjAxMQJYl2OZWQAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYFpgeMQkCWGhs/gxTDf5BiBgEg/wCQtQyIFwANOgbE3FA1PAy+iSUZIZUFqQwM AWC7fzMp/Ie4cALYVhYmBoGQzNzUYgW/1HKFoPzcxDyGHUvelx8EYgWDj+WpfGkdLEB1ukDFHEDa iOsBIx9Yp2MlxLyGf0jmMYHMC67MTcrPYWBIF+GapPNUCId5jAwg+gPc3AZGDQaQuemVXFDXc4F9 yAg2HWKXEFgtyC4g0cDIxMQUXFlckprL0AEylwGoQ5GhC6IBCDyeCzHA3A6xi5GBGSwDAJdm3SOo AQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image142.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMADQAV AA8AgwAAAHAKC4IKCpIJCp8JCrYICasICcAICMoHCNsGB9IHB/EEBP8AAPgDA+oFBQECAwRTEACx 2JBgNcx7Y8whIVZnFglwiANTmLA0vE4aw8VgOHeMUIIeLHEwCAGMjkNxBHECPGEyiSkQmkgMBZuV OEQ9kHjECEgxyQDDdqNKkoaFOTZ+gyIAOy== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image143.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYFzAyMQJYhnHMTIAGcxzgWwmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD9MCxgZGISBLjY2fQYrhP0gxgwCQfwDIOgbEDkCD0oCYG6qGh8E3sSQjpLIglYFB AWz3b6aGfxAXTgBZysDCxCAQkpmbWqzgl1quEJSfm5jHsGPJ+/KDQKxg8LF8pUiaLQtQnS5QNQeQ NuJKYLRiAGl1quSC2sIFdgnYOKgdQmC1UDsaGJmYmIIri0tScxkYQOYxAHUoMnSBNYB0PnkmxACx gxFMfwDKMIP1AwDoBlvZUAEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image144.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFgAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABwAM AA0AgwAAAFEKH0YKG1oJIX8HK2gIJW8IJ5kAM5EEMJUDMY0FL4gGLgECAwECAwECAwECAwQ58Mh5 EAkgB5lBScfQcd1wKOPRZSTQskjaCcRRpNRBrG1QIxiXamU4LFhD3vAFMMU2B0HnE8pNLJgIADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image145.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYwLiAkZkTxBKKY2QAMpjnAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiaQqUJAlhobP4MUw3+QYgYBIP8AkHUMiBOABqUBMTdUDQ+Db2JJRkhlQSoDgwLY 7t9MDf8gLpwAspSBhYlBICQzN7VYwS+1XCEoPzcxj2HHkvflB4FYweBjubtg2j0WoDpdoGoOIG3E lcBoxQDS6ljJBbWFC+wSsHFQO4TAaqF2NDAyMTEFVxaXpOYyMIDMYwDqUGToAmsA6XzyTIgBYgcj mP4AlGEG6wcAaKAgnlABAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image146.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGgAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwAR AA8AgwAAAEYKG1EKH1oJIWgIJX8HK3QIKGEJI28IJ4gGLpkAM5EEMJUDMYQGLY0FLwECAwRQEMgJ SKI4JxWyD4tSeJkhhB05XYZiqNKBSAwDA01aKDMZNJOAYqEyECgNxdETUjifDs9hhNkMMo1D5qC4 UE6k0FUicEQ9Sca19XxNBk+nIQIAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image147.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhUQBfAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABN AFsAgQAAAAAAAIAAgAECAwLtDI6py+0PYTCx2osXzbz7D4biSGZbiXZTyrbuC8fPKdd0Ha/4zuN3 z/oBUcIhqWhMKiO6JdGZQkKn1Cqoaf1Is6+JF8ttfMdf6LYs9jrBCXba3dtaAgJ5WAO/S+y5UT7O 5/Cnl0aIMQgUiGel2NYog8gQaYjweDc5hAmgmXnBGXdoCakomvV5WepieQojmhrl+krFairrF0Ib hWsrIuVbR/mnRjgBLJlb8itgXIm2dLZcR4acXEG3PEYphq3NxDzrQa3bLUFuft7Cu4Yuxu7+Dt+r rjQfb3/PVW8kjt/vb4ZP375/BN0J7HTvII8CADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image148.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYH7AzMQJYhXHMTIAGczCjECCQQYsywrEnEwwFhMjI5TFyPT//38w S49RAirGDVfHw/SAuYFZCMhSY+NnkGL4D1LMIADkHwCydgCxAzMDwwwg5oaq4WHwTSzJCKksSAWq YeAAiv5igugAARYg1mWEmC3CxMCkwwRiCQNZdswgd/5mavgHUTkB7EIWJgaBkMzc1GIFv9RyhaD8 3MQ8hh1L3pcfBGIFg4/lJSJpWyBmMoLtMuLqYQ5iAun0qYTw8xiLwfycSizmM4HMD67MTcrPYWDw l+CS/PJRCIf5TGC3f4Dbk8D0ggFkbgGGuQwkuhtiLhPcXCuwuUaVXNAQ5QKHOthYBohdQmC1ULsa GJmYmIIri0tScxm2gMxlAOpQZOgCawBFpMAXIQZ0PzCD9QMAnv/p+zwCAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image149.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIwAqAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAAc ACIAgAAAAAAAAAJShI+pFrEPj4s0zVovpnrD7ilgaJHRaAJO16AfK6WI5pp0i3tTozIkuAsBY5tR UIJL9kTEzIxx4WWUUqjsis2KWtpltybs+sRgndirpV1hqWSrAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image150.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBwEHBgYuAEsQR9GEEM5lhGBgYmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD5MDk4OAEJClxsbPIMXwH6SYQQDIPwBkLQPxgJxnQMO4oWp4GHwTSzJCKgtSGRgS wHb/Zmr4B3HhBJClDCxMDAIhmbmpxQp+qeUKQfm5iXkMO5a8Lz8IxAoGH8vdxdKmswDV6QJVg7xj xNXAyMPHDGTlp6WlwkSecIPUJJeWKHBARSZwg4xXKOWC8t+xs4H4QBAaBlOzhh2kxkoB4i6F/+S5 i5EBRH8A6oKY+4BxNTPICAMFLP5lApkbXJmblJ/DwOApxrXhy0chnP6FmMvIAHNvDBvIiKVwP05h AfHXIfwMjkdbDHsZ0exVEOTyxG0vun8aGE8wgcwtgtvjxgDhc0FjmQucEsDBBo1jIbBeqJ8bGJmY mIIri0tScxmmg+xhAOpQZOiCaAACgS9CDOh+ZgbLAABk3ymd0AIAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0038_image151.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhowAZAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQCb AA8AgAAAAAAAAALNhI+py+0PIwiUzorDwbKjemneSJbml4iGup6RCrtyw85PzeJlTW80aOIEU5YQ j6TzoZCS2KJYHEGPzY1Ic80xl8rJc7rCAj+wTLTFNZ+76KE3zHWz3/TuVXm8t/Op7ZysZlan5ZJk p8DjlLjkFFdX5bhVFinV18dn+baI92doJOQotmPVkiXjWfqEyJmp2WmKZKrXgTO1JseH6RrildSo M1Y5NvsiJ3X7Z5WDBYdYJth2gkllU219nVyp+ojd7V04Q0X8TV5u3kR9rn5eAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0039.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•The length of , which is denoted by = ; , is found as

•

•Thus we obtain the prediction of the entanglement entropy

•

•where we have employed the celebrated relation

•

• = ; &n= bsp; = ; &n= bsp; = ; [Brown-Henneaux 86’]

•

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0039_image152.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQAgAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMADAAV ABAAgwAAAEYKG1EKH1oJIXoHKmgIJX8HK28IJ3QIKGEJI4gGLpkAM5UDMY0FL4QGLZEEMARYEEi1 iARklcu5WYsiDYvRnQEjBCLQNGd8iYcqxwECMMkdDweCyXdCFGDEk8EgSC46jYPzyXE4AVQJoUd8 ZhOMK/bC0PlAaIljEehenoKS+w1IPNqytAQdAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0039_image153.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBghgVmBi4gQxjOMZGYAM5r9ANhODDFiSFYg5mWAsJkZGKIuR6f///2CW HqMEVIwbro6HSYGJgVkIyFJj42eQYvgPUswgAOQfALKWAfEBoNpjQMO4oWp4GHwTSzJCKgtSGRgC wHb/Zmr4B3HgBJClDCxMDAIhmbmpxQp+qeUKQfm5iXkMO5a8Lz8IxAoGH8vjJNPSWYDqdIGqOYC0 EVcDYwUTSGtNJYyvxADhQ8xX+A8zn5Ek8xkZQPQHuD0PGHvAJjhWorsbKMoEMje4MjcpP4eBQVSC a7LOUyGc7oaYywh3/zKwe9MruaChxAUOSXBwQMNICKwWGkYNjExMTMGVxSWpuQzpIHMZgDoUGbrA GkCEx3MhBnQ/MIP1AwBS/U6hEAIAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0039_image154.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLgAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwAl ABUAgwAAAEYKG1EKH1oJIXoHKmgIJX8HK28IJ3QIKGEJI5kAM4gGLpUDMY0FL4QGLZEEMASBUIFJ q70YK5m719wnettoZuWpUim2KARFKMXaWsa2TINirIAbJcAQBHaARgMYDGV2hyJTaAkgAIwEs+kZ HAi/LbWCKCy33I7BIBA5LWNK4+B+V+IThzvYwRO0HxJ2LIMACQx7fCiFDFckG3hjDgoBgSx9dgI+ lpeLFwkPlYshkCgRADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0039_image155.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6VTzytEURj97vdmMM9g5s0opIwFKT9CVmKBDcICWfvRY6bMXJmpacpiyk4WspKV heYvsLAcJaWwtZWSJTYS5bnfve++MlF+vLqvc757z3fuue++68uzfVBP9MaAAIGnMUbACKJ4QaOc 9IsRQI2QMRcxdBxHoi5W59YqvXVBFD2jlkCtZTXQAA4thpDgRYGOxShGAPYMoXHXBGFyIROfza3Z Yg1UiOorKgU9PjE6meodRcB+g1BEoFu/rj2HdW0uQnt/w/y7Uu8w2QMhNJtI2unYlJ2NTfPkQgqO Dx+yJ2LEup+yPeHlgvJh0r/XnMd8hKRduYDLh2vEliGdSNm60mr6VCWuNcMB0vQmNB8vJ97j8hTb 9RPf8PiAobju2CfTLvF0XKWIOX9LgbLPo5fmiLWE5c644kXcrCbezfX8eVDNl54e++XpKV90fbeN EYs6THCd+FTyVa7nm3zEp3lpXvavvFesIPsOfZUHqe9MLrnIVwGa601fx531wzwp9iLPcY3rL3xQ RXzdy1eUX3SFf3ELP/le1Jod3/uW5pnHtgpq0e75jpYRH+Sm+w+Z8j+T1wSUtyW1rneeIeJMLp2x k1AgHxCKZtiSAnqN3ltQmtmQ+g8oPi2zLgQAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0039_image156.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQE4AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgAZ AS0AgwAAAAAAAAsJCgYFBQoICQkICAcGBwsKCgMDAwUEBAgHBwkHCAMCAgwKCwcGBgYFBgT/EMhJ q70Yh8z73F4ojmRpnmiqSkLgrnAFxtZM33iu72Yw8ChbTggsGo/IDiFQSIqIN6hzSq2qDIGDNSON dbfgsDiAENcwh0RAMEmUR1+zfB4jqF14l4IukSJcTQALWSRxfIeIHQV5eQwBBIdQBAYABE0tkIWJ m5weAgMNBU0ECxJ/iF8CTQl7JYadsIgJDQADWgc+qBwEqj89scDAkwANCRKLgXxfBQLGJ6/BOHix 0x4JbKQSA4SRHAYKbM/RTjPQW+WKDtpaDWSJXwOZXPPjVOZju2vEAQ12AQYHKCnz1uGFhnr2gnVp oQ5ACxcPHiUrckDBGw9dwHHY0OVepwG+/zhUvIiRCkhxGAyEbIDgmgImSe48wUCA5AWO9FT0M2AT RUAXBsKFONlBZgiPMYhqogYNCi55N/vkTAHSoM4/eYTSsLpRocKmFwb0pMBoqgquKBQsoPUpgLMo hkAgTQhgrj2wFhBAPSP1oJe4HUpNwGWXS5yynBDzePmvQgE1CSYCcPAPV58N/hzQ2kr2CNqohd5O oAwQxEgJpzNrqYtZjeYVBLYFcLDaA2nLAE7ntljJdW0nIGklCKmS1qCGAAxAarDtMi8AiwTCqFYN yGe+cCQrJ9YcgNE7z5cIdPE8egrmy7eJzrCdOYjv5LE1nvJydU0JS4RiCTQDN9fr5zCiGP9ZgI0g QE/9laMggZcxiAIrEzx01GALNvhBYSicYgFlFLTgiw9aseYgQiIWRIIDIdY1QIpW/SeXDQB6UN+I G61YQ4UWkgMFWgZh4QJyLt4k4JBEFjnkdDsauUsrFfg424hBlpgjCe2I1sJ6KeGBnJRRPmEkkTdu RmOJDVikx5QxMlVSCAIwWUGZWDHZIowvjinCEoLhB5MHcJ6ZY5cxPWLBNlrNN4EdbwA6hpI3rtnB AXk6dAGiF1ZqqaIibPPbcBfGQemfdFLxEgK0NNDQEshh0oeYdVpKYpp9iRTpAiHVxaqrUWLKpwu1 WbQaOjXcCqqdRrCEBygTbNMEc3LaOAz/Yau1w0090orpFwd35DERiJUIBG1uLmwm7QHf7jPtnS78 0IABCdQGrAzOessruPxIMG4SJx1AWbuOQbatvk+yZlAeCAnYFQeyMfJbFpQBOQ3BAiMG8QhqLOGW ZO+SBbDDL0A8sRFKkShyIrjUih2GI6es8g6D7CXDBysnxsgAksVshhrWnhxJHluSiAUlZQYQqc1h lGxirHS8NMvKLbtKNDDV8dH0yt1N+fTVU1SdcjvSLeEm1mAXm8vKSyy3iMlhp73DEjX7TEa6Lqst 9w1Y/DayW5UE8PXcfHsxFkIttOJO34TD0IJ0Kb+UCWUpFu64CIrHrGHeez9uOQd/WEsqKeBj7/P3 5aBH2HklaMfiHuLbKJBz6KG7l2dNcXeyyMQW68M664wdyUEEADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0039_image157.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6VUPWgUURCeN2/vvN1skstqJIjCiqAGPAlqK6igUdQUXgqjKBdljYHbbPACx4HF FVYWwVoQrrCSoAgKKaOF2GgQC0EbixCtNDYqCq5v5r196HlCSBbeMt+8mW9+d9+8eHYb+FkIKg64 JD08LkiQj1G9YCvf5tRxMZNQCCMJTNOUpb1iwOi6rJ2PFWchCJS0M98LWyAlYyhSNCXNq9NUlwOO 8jE2Ppwen7k62piOAFagoLQ/UHvQowyhJDT3JgxxTJK0UUkP8pluuJDptrmZrruY6eI+qucnNn9p xluCeRGKo5NxVAtHonp4JonHp2D+7uf6E3XCoS/1xZ4rLR1bcE77vCaWAnLd03ANlj1SSbXJqSjT jLmkqSYTkfaZk2cL5LM/yXBNEj5g8Ky4nyN83WLf0VjnXEnXljNy31Zs7nk80U0UQ4Y3TNfaC82L hhfkYJ4oBpMMP8r9WS/Ii4x3Jx1mgBS33IgvJVWAC5u9V8+XglXW08I7fUTxzcR5KzX+bvA9ofHX JLM/2kX4g7XX+KO113g5yWbdv4HwQYt3ocbtdYh19W9OnisSwyk7/3eMqzZuynlF9v4879Nlu08l 3pdha38ICJf/mbNY1/74zkme44iJ80kcY3zY4Pe4Q2jcoT9/zflGv7f4/zm392dW9HI/pm39R7je iU71te/T69Xv00vx1Cfea4ln/koe/7n48wAdK2Bbs7tNgYjlRm0miqFFvKA8tsNNdqDX0nIA7TVJ 9v8NaMXM8IAFAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0039_image158.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh2gA1AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABADS AC0AgwAAAAAAAAsKCggHBwMDAwYFBQoICQsJCgkHCAkICAcGBgUEBAcGBwwKCwECAwECAwT/EMhJ q7046827/10AjqQnlmiqrix3trAZz3QNv3Y+4frHh73cL5gKDIdEDFKzTJaaThASGqVarFFgVrXE Er277QosvjLL5hEZHWaTmmvby9i+xE302D1p7PfPbhInInMZexuDeoFniVSHN4IAiYZydSyPOpOE Los4m4AzmEqLoJ+gbJ6ONaJ2pJSSkYidFHmGrLRCT7W5saatgXNQfzSFFAIDBChrkx4FBVLBvr8V w7ejlma7etoABNwyarHNz3i0w6fi57ywlNJfd8t/Bgeu4pbW18J0+C7w4ScIACSoxw4XtkoFf7kL 8k2LDwoKBNJzdSQLM2r71PF5caBAgAUT/yUMCEDAgEFbFwEwECiggoAFARKIOJaMJoCRBEK2mALN j8YyPv28OXEggEkFASaOPGCgGiAkTE1WWNBSgAhvV42YLLog1CuCqE4wIBqAXJ4AEe1RO4hopTlB wbx+3Rm0rt27dXXl3TEobrdBydS2aagBZoGAcBMr5otXaJp7ePa6uTt0cZ6m82KylUSYw9gAiM/6 hXQy4WawxE54nBjArUoCBAZuxnRgpOJand+Y63uFH+reEoo+azoRQYNpawW7aNmgK2fL1kQgbboY l28ZThkOO2A4pM+SyuHGMbqAKueg52+JKLAgcDtUya+PMIDVSGD5aF64V5I7U/LwWRggFfYAzQH4 mxYCPhXDWHY4lUppKAjgUQADlBDbBAhIhd8Njp2RgE4YEdJfB03xsMsfPxSTggBSjZQWCB0ZUYB3 Bz4mixgNTAhhL489MuBzpNVo4H9ZKGCVivExtmMKDYCmiJBDLhlEAibhxglyK3SEWJBCerGhBQK4 dRY4UpZQFFpyQenlFq6N2duIMOTYWpoHrpkFAt6ldJoOR9L5m51V5MWTGHCSWedDYbE12k8tNOka l6h5MhdQo6llZQwEVAhAAQQc5ydBJk5KqIk+WRflCAgYsYCmq/yJ3jVQmmparKceSqtBC9H6JUK3 pjNrr7t+Gus5wfbqRgQAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0039_image159.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYHNgYeQEsS7EMDIAGcyTGYEEgwxYlhWIOZlgLCZGRiiLken///9g lh6jBFSMG66Oh8mBpYFNCMhSY+NnkGL4D1LMIADkHwCydgCxAxsDww9moB6oGh4G38SSjJDKglQG hg8MHEDRX0wQHSDAAsS6jBCzRZgYmPKYQCxhIOsIK8idv5ka/kFUTmAEq2diEAjJzE0tVvBLLVcI ys9NzGPYseR9+UEgVjD4WJ4omWYBMZMRbJcRVwLTO1aQVr1KCL+HuYMJxDeC8vMYrZlBfONKiH0K /8mzjwnslw9wex8w2YHt1ayE8U+yQOyB8YvBfA0MexlJ9CfEXiaovW+YE8Dm+lWihx8jRf7pYXYC h5M7PNwYwfYEVcLC2YQBxE+uxBJvTCB7gytzk/JzGBhKxbh+6jwVItI/CUw2YJfbVnJBUxQXONWB o4cBYpcQWC3UrgZGJiam4MriktRcBguQuQxAHYoMXWANoITs8VyIAd2PzGD9AKJMpS08AwAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0039_image160.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhTAA3AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABwBF ACsAgwAAAAAAAAYFBQsKCggHBwoICQcGBgwKCwsJCgcGBwMDAwkHCAUEBAkICAECAwECAwT/EMhJ q714iBCI5SCHjWRpDoVEBMZHiWYsj+kEv1Uw73x1BIKcq0eUITYIIa7IJCFArVdI16zSNgnb0sq1 PKkAcLhLzoHF4jL355Gk02qewpA8CILuYZy4gNbCIFJwe4SFhoeIPCGJZGeMXGhmUzePF4OVRZeK k5ydnp1bGJ6YlqRdkaZjgFSDd6uaiKxaqhSuqaGztLeiZrhxCAwBDA0jU3l6sFYHCwAHK8y9gqXH hNBub6KDjozCvjZngbmHP9a60+eIDQoH4sXoiAp/5tfhuwAEWd7U9gV4+pS3BkQBUIBBO2o36h0a oGCKNYC6UCUKNiWJIIU6ttmLkXHfxhKyDpJ9nNVxJEh9Jr9pLBEBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0040.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•Furthermore, the = UV cutoff a is related to via

•

•In this way we reproduced the known formula

• = ; &n= bsp; [94’ Holzhey-Larsen-Wilcze= k, 04’ Calabrese-Cardy ]

•

•(In 2D CFT, we can analytically com= pute EE in various

•setups owing to the conformal map technique.

•But this is not so in higher dimensions.)

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0040_image161.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wOjAxMAJYm2MZQQxmE8C2UwMMmBZViDmZIKxmBgZoSxGpv///4NZ eowSUDFuuDoeJgemB4xCQJYaGz+DFMN/kGIGASD/AJC1DIgXAA16BsTcUDU8DL6JJRkhlQWpDAwJ YLt/Myn8h7hwAshSBhYmBoGQzNzUYgW/1HKFoPzcxDyGHUvelx8EYgWDj+X6kmmuLEB1ukDVHEDa iOsBoybYvQaVEPMa/sHMA4oygcwLrsxNys9hYEiX4FLQeSqEwzxGBhD9AW5uA6MbA8jcokouqOu5 wD4EOxPqdiGwWqjbGxiZmJiCK4tLUnMZXEHmMgB1KDJ0QTQAgcdzIQaY2yF2MTIwg2UAmxpWCagB AAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0040_image162.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHAAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMADAAT AA8AgwAAAAAAAAYFBQoICQcGBgsKCgwKCwUEBAgHBwsJCgkHCAkICAMDAwcGBwECAwECAwRXEMgJ hgiBFMqlEQPwBUfHHciUYOaEBNvEtgZJrWU7BAq1Ly3AJSY5CGQzEYaIYMQCMskucDQ0DkSoRHsI TA9AihYALVCD5KjCix5Du4a2zHyUb9EcDDQCADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0040_image163.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBIYH3AzMgJYk2IYGQAMpj9GYEEgwxYlhWIOZlgLCZGRiiLken///9g lh6jBFSMG66Oh+kBcwKrEJClxsbPIMXwH6SYQQDIPwBk7QBiBaCyGcxAPVA1PAy+iSUZIZUFqUA1 DBxA0V9MEB0gwALEuowQs0WYGJgWMINYwkDWJhaQO38zNfyDqJzACFbPxCAQkpmbWqzgl1quEJSf m5jHsGPJ+/KDQKxg8LH8jGjaaYiZjGC7jLgSmO6wgLTqVcL4GUwgfl0lxPyE/+SZzwR2+we4Pc8Y 68BhaFCJ7m5GEt0NMZcJam4P80lmkAmJUPfnMR4D833g/jFhAPFTofYq/Eeylwlkb3BlblJ+DgPD CVGulzpPhYj0zzrG72Bziyq5oDHJBY5tcDAxQOwSAquFhl0DIxMTU3BlcUlqLsNpkLkMQB2KDF1g DSDC47kQA7ofmcH6ASYORye0AgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0040_image164.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhTgA4AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABwBH ACwAgwAAAAAAAAcGBggHBwUEBAwKCwkHCAoICQYFBQkICAcGBwsKCgMDAwsJCgECAwECAwT/EMhJ q704axB6F1sojiQwBERRrmxpBEcrzxgS0DheBEjut4dA4kckKQKLonITYCyfl0ZAAa1OTjFrlRFQ TRhebU7amxzKM4+2YDOYGVnZjTN/njz4eqs+74h/fBwSen9yN359hTSHgYKKGw1HcBSEjpWPFAYI SX6DF4mYFwdgADsEIZ2hFQUMbgBHDT4CPHGeRC8NDQiTOQpuDScDsQlUFnnHeBYETQK1OIQJyyBF qao4XBTT1izBpQJJ2yUIPZID4Szj5+rr7O3u7/DxOAlcBy/a8hQIBLGaMPkVdk2QggTgBFgDURiU IAVfggDmFmKhsCzWQmxmqgFMtcAGPoDLFGIcaPDiwIGIABcsU5DkhQJnFCIAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0040_image165.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBgjgdWBh5AQxAsIZGYAM5peMQIJBBizJCsScTDAWEyMjlMXI9P//fzBL j1ECKsYNV8fD5MDCwCsEZKmx8TNIMfwHKWYQAPIPAFk7gPgADwPDD2agHqgaHgbfxJKMkMqCVAaG BwwcQNFfTBAdIMACxLqMELNFmBSYIplBLGEgS58FJibLDhfjgInlc8HEznOD/PObqeEfxMQJjGBz mRgEQjJzU4sV/FLLFYLycxPzGHYseV9+EIgVDD6WW0mmiUHsZgS7yYirgamZB6RVr5ITyk/lAHqD oTgzLxUmks0CEsnJT0+F6FnDnMUM0mOcj8UNTCA3BFfmJuXnMDAcE+H6/OWjEA43MIHD4QPcLQuY /nODjPieD+HfYobwf0D5qxgh/G/5MPXhbCD+c7h6CP8FXD2E/ywf5ld1JhDfFsPdjCSGHcTdTAyw 8NjDBTLBB2pPH6Mt2J05+TB5N3YQPxEu78yOqj4XHJ7JcHc6MID4wVB3Kvwnz53o4fuASRlsgiM2 /6PEW5QkVwbueEP3fx9jIdj/Bflc0NTPBc4h4CTJALFLCKwWmkYaGJmYmIIri0tScxnEQOYyAHUo MnSBNYAyncAXIQZ0PzCD9QMA35hNkugDAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0040_image166.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhvgBAAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABgC1 ADYAgwAAAAAAAAcGBwsJCgoICQYFBQsKCgMDAwwKCwgHBwkHCAUEBAkICAgGBwcGBgECAwT/EMhJ q7046807NcLgjWSJDYJhrmzrUkShvjRtFESt73TM/5lBIHCw4IDI5GVwQGQQw2hRaQoILIiDiMr9 aTkC4qzrIQRyFiZ5/UokOooz2xMeV9zz/Ajq5BQCfXoZBwtPgIKIGAxvHFCFiUsBjBgJDJAZDAtE aEoLWxtmk3kEmlFRDXJBj5cUTAUiBgFUWR4JqXkMpqYLf4EYTawTQgUTC6JABA4eB7J6AwUIDJYE ChMBqxkCnKwHU2sKlhyxxIkLTjISoRzSwQC54WsOnxpm1YgEVwirttsnysG95rzqEGZeHk8AqE1g 5gvDjXZD8jTjEJECMDIM/qEDEAubhomX/5h9+KcEZBArMMh1MSOCT7J6KCi2i8OIlJ0JBhJ4c2Hy AoI/9hIe6LehgEoSQv4JGWLAwZmgH0/8OZAAgRoqCpgtgGehVI2eFZzqilLC6AoBKrMgtAU1apoA 0AAwCUDyUsUXYNv9ABtQghCukO7y1MsFrGAAAQwmOswiL2EdYDVxPRTsMKlrgJ8RaeuYRVYrsSTk nDI6oaa6ScCauUVYcAJzAGgKkwTgJ1nEPBSgmSvBK4BSCkTkOgYkry3WECcK4eQUjSacKCV0rtJq 4l2m1nYicXycKMWxpmjctQUjuuDrPA44aCjdOkjGezUcVxx4osgJUJo5HUPEWu4hVVVw3f9704m3 QRhHsTKggM0YcEBc/Pj33xBQLWhNgXhRAEUF+VEB3lgMXmjHNRMkw8xAEl7wIXhYfBaUhe1ZsOKM joEkhIzafbeieBOFsQ1tcnknnRLkxWjkkalRkMs8QhA3pB53DTPbFhupyENiFl2o5ZYlUeDUUH51 gwF8XMQSwBi2vPFTUMzost6TkIHpjj1mqmBmH/ndFB8ARmmBgAKaUDUmbhLdlo4mC2xDQJum/IPh CIDodAA84YWHmKHbSWAWpIQ+1opBZsDp6Z4lNPMoIgPQ98ipo5LAanuY2jBVWyzkmNAWr16SnxSc lpqiDYwGQKsJAiSKJwMvtqpBGAfo6Vb/r6K2sUUuuV6QzBAHhEBBtZfEIWQGpxoaa5xdcAtJX9C2 BlimyvpEoq+PEeBkcSNkEgAD9QiiDrztRAMkF1VqYJQIxWKpR4QkPKTXNcw0y4U8fnizFCL3IYVa MGZeQQU7yxosF12CjGMCsqOuxgU+GiSl5L36Ckvst5B0OIutEyDcm8dzFGTCRZ7C1QVCv4BkBs3l msTzCR7pJQR9PywC7kQ3RJeHEBqnk+AFleilnghMzPsDHxhokgMB1JzhNBu2BbUozLVRFkwcQ2i7 Bh4XGKBJCrHRxXQSYrG4Ad3trvFF4CZcRTgZTLB3+BODL77S1Y5fcETkZMTgLOU3sE05Cg8g7H04 CpdLEAEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0041.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•Finite temperature case =

•We assume the len= gth of the total system is infinite.

•

•In this case, the dual gravity background is the BTZ black

•hole and the geodesic distance is given by

•

•This again reprod= uces the known formula at finite T.

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0041_image167.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6VTPUsDQRCdnUvUnFHDJQEVwbNRwQ9UrCQWWomgQhLQ0g+iEUxWTCAELEStREEs rcVfYJEyFtppq6XkB/gBFqLgubN7e2jQQj3Y473ZffNmht2bq8tjUF/U9kGAwOAMI2AEUfygTW76 xQqgRsiYixg6jiNRP2t2Y/XeuSCKnFFLoM6aJmgFhw5DSPCyQCWxyhGAW0No3DNBmFrIp5PF9RTA HdSJ6CsqBX0+sfqYyh1BwBGDUFigil/HXiwdm4tQ7W+49a7Uh0zmQAglVzOpnD2dKthxnlnIQunk oXAulj3wVIhZyzvKh0n/IXMetyMk7S8GXL7bRCdyq9m0jvSaFFniubTWjAdIM8Q1n6wlPujyLDvy E9/0eMxQXGccBp1RdWE7f+sCZZ5Hr5sz1mV9rqyMF43EB7jer29Q+9XTE1Ek30Qxs8jXAPIt5v3z k/Xj9JQvur77Rl+Y8i56Hb/KOta9CVWk74a3X5YTWfmujn/0n2WXso41rutq9xGP8+o5s1/elq/9 XrNTmXeMf3MLv8xxtsU8+HmO1fXPY3cdpejx5jZRQ3yUm+4bMuU7k9cElLclta73FkPERDGXT2Vg h3xAKDpgTwroF3q2oLonQ+o/AMdsuyUuBAAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0041_image168.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIgE5AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABgAZ AS4AgwAAAAAAAAsKCgUEBAMDAwwKCwkHCAoICQsJCgkICAgHBwYFBQcGBwcGBgECAwECAwT/EMhJ q73Yhsw72F4ojmRpnmiqYgG4vh+syXRt37js5uNO+7ygcEgkAYuX40uJbDqfOigLIxgQJtaCiCnt ep8GQmscEMS+EyVBcEAAEgH3Fk2vFw3k8UDCdR4PCgAIZgQGRnaIiTUICwUJCQAHhnyIXJAKCyV9 ipydHQNaC2aUdpYFBFqHnqusHQcMAAV7aZUcBgpyqq1NY7saLZ9ukrS1GQqTU0m+SC6bic0ZCQ0S osSlGYwcwMrLft0VSgdxsXHTMc5FTAmjykro31HwpBUIAeb14xvvKQIKVx5KBJib4k4eP39ziizI xKHfP4AXGDAUFOAAn30pBmzroKRBrhln/0CmKPDqIQoEGgdAyqHRGcYVCz9t1LZqZoYjCyyyIJMs xUKbJQTkWYkDqMhKm176cWmhgUmRBZf04cLAYgEFAZ7WMEoBhNIgXIl9JRK2qwUCOrnNAwejbMgL aT+MBcglj4cDC1o0YJejrN0bV1vAmhA4AAO+DQwLvQgAzwC+KXrJnctxao/BFQpjjoVVMYXEh71u cAx5RIGcsfLO6gB6MQCHEmDjISAHGGknBBgOmEgAlgACqCR4TC3aYr3VXfL8/cVRRL2PE3JL2B3d N/BUw08Xp4icxIBAEvB5yJ5XghgQ540HmNVCfXchWEcd+AdHfgDwZWKLTkMZilt0CgxEQf98Eswn QX0F3sfHKK5t5BYGBPIHEIPNVCihXBcWIcYFGhGW1XT3pcLYiN0ApdxymWll3hEdSlDAhwBopICI GJJo2noUHOeBjDTW6OM2DvZnxBEzbYPAeQMF+cuJTDbpJGX/hXDYTknsYCSSGT5ogTjIRBIAUdhg maWFP+7zJJMViFGaGCLiOMEBGpmj5BdOUklTBwlAR4GaZwXQJnJw2kOilhXkxRd1k3EQaJJk1jhn EQwEwBAC5mCl04sr+ZngoEIu1RwHCKQFZwWRTlppRS5+yUcq4nBawov5SeCPGdBowGqjcz5KxG96 jHIKKAAosJqkblD6WgtmwFraKrD2yFb/BryS0eVr563nKwHACpvGAsVOI1R+ypIgjqSxMPDYPERy K4g535rxrRbKtktOrELEJIBqcQkQaYhpCCToZPpItotyN3FQ7Rh63rtevvvO2G9icvbC0wgajauS WWs9/C/AHKM5cb0TGSTyF0KF/OxbI6es8hd4xHVyp0Qk0BIDztZE8Mp1aFQzurv8pq44AvpiJc5o lHwnyp1YMYGOJZ5MtM0wByEOeF6CObDTT2cNhaHRTXs1xlqH3cSLs2Dr8tfWiK32EFy+ucY3N68t dxBch2cY3GnPrXcNZOe4sdB57y34Cm2/GYDXNYE9+OI+0Rujpsv4EDXjaoeb4NmJY035K+autMAQ HIh78nGinJeeQV7jGqan6awT3XfrsK/dcuy0h61z7bjjbLQJEQAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0041_image169.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC52Tz0tUURTHzz33pjNvRt/wFIsoeBJUm+yHWwd0U6taNEYGLpqJsbHm+YQRhmnl tlauXUQLg8B/QALlhSBuctsqciHmItA2FgW97rm/cEZd1IP7OJ/z7vd8z73v3k8fNxZBPdt+IiBL 0c0HjAI+hvIFF9TXM3Jk0UbImIkYpmmqoiF2zuRybl4eE7HtBzK63OXDeUhpMhQkJzJ6L8cbH+CF kBozJw93y3O18dZslYpn5OsXagU9ciJcY7p2Pz7GR5yiPhldFzZ3sdvmShmb+5yzuWIPrec3zv/R FReYqotQGJ+Oqo3wXrUZ3o+j8gysLO03P8gR3vjenChMrWpvBtTTLS/BOz5Jh1qW3/bSssMwa/hl hhSN6ZmazTwXXEb1+GlNa77xZ5xqDMcn9ITUU6kVVeI6wPqAd3VzJzilJ1T7cuB6m+KDvVTiR6z5 NbbzpND80/A7pvkwtvqHXcRfnb6dJ4XmPafXvGv4No96jvqtYTuPCM3Wf5NpPnT6s7mjfmvYziNC 857Ta7b+CV5B4uKxfWUd+zo64FVO31dm9hXB/q8gT3UrxmeLfVG+s46L3fr7Cb7/cMY6/+cWW1a+ 9dj2MaF8ys43UufoiVv/KBCXTB9h+n99dK4/5JdUhbHYM7fVUzdaXSHQXoGaa87wPEPEUqsxV41g leqCVAzCKyWg27KzG0DnmrnS/wWBggWXmAQAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0041_image170.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwFCAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQAO AToAgwAAAEYKG1EKH1oJIWEJI3QIKH8HK28IJ2gIJXoHKoQGLY0FL5UDMYgGLpkAM5EEMAT/EMhJ q704682734NCfGRpnmhKKEPqvnDsFksg3zgQjvnaZoFFIUcsGjuGxXFJotmKwaFmYWBar7GDEsut JK3UzeLQLZsxAobgzNVix5r0mk3vNqT1pRy7zxQaeYFLAwyCS3cxAw6LG38bDD+GkjEGeE0PiwpP kxOEOA5bGpAaBVWcpygMmx5pCy0HDoCoAJU3sJYYpRoBhbO+HQMPJg+9Og7Cs6o3Cg5zu8UYrr/T fqYfCA7Wt7PBn9BTkRcJuNQgzAxkbAoIJQvNEwwJvrofB5iL+O8E2R7jGivl+jkYIsABnQbhOAQ4 JoHBg3Sz1n0okC8fMgMO2HUAmGGArICk/wZKeGDNjEESsORJQKDGF0IPA2oUGHJAJbyTwD5iwAny wkJkgXh2cOdMkQJf3zo8sLHAGYCCoTokrSC0J4UEGQ1V3cWwUyxfWzUgOBoAqASK5DSEnbC2J6ZV ddpaSEmB7iy5Fh68simBKAm5eMsx0krC74S3YJvIakph4VS1GwJTGyxBp8kPC99JgAURlWQA2Fos DIBAFjYFAo56AGwVA8YqAhpojGPg8YvPsECddcD3xIKoaGqfkLxPlqJFc5ghSJuB9QkC7hgYCOCJ DkYHqJVS/vTBHbZMCX0Dv3BvuAcFoXg94EFL5N/Iz7HbIPS15/Ybkn/Sub86LvxhPCnCHP9Yn73X AVadlcFfBwUS4VwJi6ziAHsBLQiDZIixYeF/GnJIQgPYUeAAXJMJVQAmD+ACnQPxeJgBVC+AiNpJ Agj3lHAIYNLAHIzYEwuJFzSYw4MkpBFia2zxhJ4NWH20TxVB4LMTFhJFOdJg9xzwypGLaAkARaq5 qKCYrDCgWwwVpWkEZdiwx4wUmExQUJgWCIkCTgUlqeee220oon+QoWDkeBXiBCIF+2zR51p2DrcA hRJQtmikPPnJFqDNvWBmSQqm6elWkgo1GIjOsJipWp+mmk8FzCyiU6ginjQpB3ipaquUp+bawUIV HIckrLFK0IoNGCX45xUB1LaINcBS6uz/nmRyQSQH+9Q5bZCqromTOxQeCcABDZj5aKBc5FhMswAM Nmu0WFwbUjhGoeoZTrA4mdWXQE55xYiXPptupbICzCCm+noAIgMaxaTMlI3qgdwE7gwRBLNp7lgw E6C0MJawDxfELwCZCeDxHCHTSnCQHvwGSQAJYCJdvpGme8qqE5x4jCUspWnWsVY0A+JHq9L8KaWW yrwfuxX8ZoKsSFIwQELVotx0f0eT6yDNTfcmLKf9Tm1y1boO2bUe0XHtAgMiTEAanVR5PXAKNsu3 NNIuVGqFAOm8hgMNi6A9m9RuW10kA9LUO7fgMuCK6xGdFX1EwxWiQIxXO78dduCRVi4t/+aId4CN Nu4ZeHngsEDahZ0FmIlAk4mZYBgALR4++tQBUGTs6a7rBUAC7txOWAn6wf7QnXT3dByLA/bcTjHH OcWJkHaB1pLsF2Oe2iLJL1EgM+wporkkLxWmmTFs51Q8khjZhvEHiuhEkdmSpI1ZVxK0b8LGnQee GRvhc4DR35gw3SQKoDUNRO9bvDGBPzpiGc6l63tWkB8HzFQXx9UhJuJzSoYKEx4K4M+B9XOA76xA wNXgyR0NPMXCFPKwzYjQBLzYwAIDx4CXEAJ+V8CgdtiBAAIg6AA4FEQtOpCbLVCkgBygRwakgTms ZOJvZ1hhHDCRHaxI5BfV4YB38MECyXF1UG3qA6EZhihGCiBiA8F7gSNIEcQydiGLbnzK+DCAIBj0 IQO6i2MgzqhHN2hggymAAylSqEczFMR5ZfwCGs7kgjDEYXqFzIMfC+kEI0RBiyOMZBkUWcgdEMEH WmyjJrtQyVGa4ZKmNIQnU4kFUKYgAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•Geometric Interpretation

• = ; (i) Small A = ; &n= bsp; (ii) Large A

<= span lang=3DJA style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PG= othic"; mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image171.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhoAGsAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQCe AaoAgQAAAJkAM7vm5gECAwL/hI+py+3/gpy0Wgqz3rz7D4bieJWmNKbqyobnC1vtTNf2rcX6i/d+ DRPFfsSisRd08Y7MJuCELDmn1KrJd61qV1JmdwsOp75Hsvi8kInV6Lb7cFmz3+C4207PU+dovr5c 8WfgJ1g4Q/iGaHiIsQjX6BipBLmoKPlhWRh4yQmx2flECdrxORo6YWpaqiqa2tDquuqqCZsqOztY O3uLe4faq6A7ygt8GlCc+IscrBzbvMyMAr1FvFxd+Twdfaw9Jaz9LRjePd7NyG3ukI0tna6+7n6O Hs9Qfmbvjk+/oU8On9xuX4R/Aj0QLPgoIJ2DCBEwbPjqYcN+XhRCfDfvYgaK//s4EpGo8VTIjRZH 1iupxSNClelAmnT5g+VKmPRojrRpA+dNneBQmhyY0QnPlz5nBv2Zo2hMpUiBEj3alCTUpVOjehqK C+tPrQaZWsWoketWry1kRhXbCe3YqjTUrjX6VYXbk2zjJq2LbC5SvQ7J2r2KF5jfvwOjBCYMOB7f vYO7ImbReFjkx2kmS6Us17KkxVbdcu6s2VFozAlGRyMN2fSfz6APk0Rd1vVm1bBFZpZdOyJubLm5 7D7dO3Ne2rmxEu/NuknyvzyXMz8eBjry37mCM8oqvbhl54S5Y6Fu/SSI7MHJCzVfm6b37ugBhW+L u712VuDfV3a9HnH+6/b5J//tDx8o+7EX2IAEplUfgJX9p6B/kRh4oFMNxpagNxVO2NdVGDrI24a+ sSXfeyECcaGH1UVkYmolGjFieEW16OKKH8FYHkoQYnYjBzRaZ6OMKe5Igo8e9pgih3nkSFk2SCYp 5A1A8hjUkzU2SWKRRkpZozhYapfRlvOt5mV68yyJY5gaWumgmbCRKR6asWXo5ptHqomaMnTWSaWK ccoZyp6p6XEnnrnkaSKbpRFaKDeBkmYonH4K1+ejvs0pKaSLMoqoEJcyecymTC7k6WMohKpfpkpU +iGp7IGK6m2qPmcqJrFueE2riflia5CNljkrKb1OaBaqu74K66/AGstgruP/7YppMspOgqyCmxJr V7DCRnvms11RWy22hWm7rbf2TStujNzGRS644arra7ltsnuXu1M6C2+88nJJb72AnXtWuvrue6+Y rP5bGL9NeWrwwZ0GvCbDjhIsXsJjgeowr5FCvODAGB964sYca+zxicxGmG/IF0scEqkop4zOyhep XPGnHYcMc8wkuwyRqjjP1JfN3fo888YK7SzQq0QX3SXQXxl9tGJDK90v1BdjbNHIrdFC81FNtyS1 bRCvs7U51FqtsNZhT0P2w//6dDY056a901RtW9P1I19XBXdYddtNsFJzC7b3oGv7/fcuCRdu+Gv1 Spz3RHghbkvgamv7UONI/wsoeU2HQY5g5pPnCpLlTrPCbmOcz+b5x8/CJLrYqasO+mSns5O4sja1 jvbrwLWqE+7D6c5M7EHaGrbvgNdnPHbAZ1ypaslHvvx9zdM2e8nHPyrW85hHj6Kf0Gl/CfgSuqmW +A9yP36Rc5lvCPvpD2me+4BWXz01hMoPkOboz49o/eftzw//KSdE+OsDAHUkQBa1qIDRSaDgpEUj BqbEgQkB0HokaKEDLkuDe5ASBivCwQ2aywoUpBBjQqjAcn2QKlHDVx1KqKulwRBackChk1Y4hhlu qw3Wcp0Ob1WqmPUwdz+8DMnyh64iBtCGH9ISEzX1xJzgcINdG6IzlLiuE7zuzYqSwSIV4+Y5LqIu ikUQ4xi3R8b7pDGFazzU8mpVDDOyTIBy/B8Z4TilO9axg5Db41oQh0dOBPKMcfIjHzk3SFpMkWJN SyT0dubIY2kvE24z5A0XyQ7GWRJMm3SVF+8RyUO2ESidDNcnAWI1SjoulJcspblcSUpM6gqWg2Kl 7fAwQFVGTZeztGXpzNBKXz4lC73EpcnsxctYJhNTO2gmMI8pK2dKU5Y1nKYxoQkfa15zddvEpv2W KYkCAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image172.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRgBBAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABE AD8AgAAAAAAAAAKvhI+pGO0P25q02hOzlrd7s4XhRyriOZYfyqZq1cbaS8l2RCf3juf8/6ABhxwS 8Wg8IjvK5qXptECjkym0ZlVWs1QM98r4dsVgEJl6RqeXa2db+0bGiYD5sG7/4fO7Pf8PGDgiKONH eGJ4OKiIksiYYfY4EynZ41gZEIbpoLPJqelpErqwiVUJIyn1yMTooZgUqBL78pdzeWZLmZbbicvb +/W7ZSWsqlXsqodMGyNcAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image173.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRgBBAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABE AEAAgAAAAAAAAAKohI+pGu0Pl5y0Iojzs7xfDYbeuISmSZLniqYWC4PuFNfy/Nl6hAP7z3MBhw4h 8ag6Kj3KZoDjdFaiUQpVKrlWS9omt+vNgZfiMfJgxvrS4TWb/PbG5fO6/Y7P6/f8vv8PGCg4yGZA eHOoYZiIgcZY5Pj4FPmYIMlQiXmYtUlDOCUIBdgxyuSXtGeU13PXQ1no+joWq9lF60l1+9KmuwvU OxMDDLwxDFAAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image174.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKgBDAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAn AEAAgAAAAP8AAAKKjA2py+19Yni0Pomstnh7Kn0iE45mZKZoKq7s575aLHNZPR94fu9g73Pogr8J 8QI8KoZKUrLJbC6N0im1CohWtdKnkgu9bsVdchg7RSe8R3YQ3DZ/5UR4nf52+/Q7e17t18dXE4hT SDgoc6i4yNLomPjyqBJJWXky2ZIJQ5O3uVES1yk4alj611QAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image175.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMADAAV ABAAgwAAAHAKC5IJCoIKCp8JCqsICbYICcoHCNIHB8AICNsGB+IGBv8AAPgDA+oFBfEEBARYEMjF jgSHlcs5YswiCQzSnUEzBCLgOGd8iYYqx0ECNMQdC4aDyXdKFGDEEwIxSDI6DoPzyVE4AVTJoUd8 ZgmNK/bS0PlAaImCEehenoOS+w0gPNqytAQdAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image176.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHwCTAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAc AI8AgAAAAP8AAALTTICpy2vXogRmWlevfnrDPnFg+I2NaJ5Zyqysgr6JK1O0HNf3m+OlvmMFhT9f kXckJlNDUw9ZgzVHU9BTGZ0tndVO17Olhq3fS9lyZY69Z1IW0Xa/45E0923D01XzvXSN5qcFSEIo F2XHZlgnCNfo2LeoItnymNcXiamZZXnJSTmZuYkIWlmKoXf6l8oq+pmqqgU7+xnraGuDm0hGW9vq OwrUS/oLZNtpuetRbBSMdAwN7SoMTFzd/HrtM72tjZVNGqtsFu38bWyuJp78OB7IDSVTAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image177.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhVACbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQBS AJcAgAAAAP8AAAL/jIGpy+0Po0Rn2ouzMkH7D1JdSJYQZ6aqOK4uWL1yhs62Fd+6U+/+0vsJc0Jf sLgjIm/Hpa3plCmjLyh1Nb2qrFoTt0vKgsPiMaxs9qDTtDX78n1j3HJJvD6h4x/3/Unvx9AXKAhI mDB4uNGiCMfYaGeoKDn5CPlHGcixydnpuSn3KToK+tY553kZmQhZqopp+VqY6ecqy0Nbm7vH2thb GXuLuIv3e0hcZ0yorBksDMCs+4zrLIwcWn0bzZste23a/frNtp08nnZulj62Dtbe9a4VfzVPVR91 v1SOHX6Zr9/PX8BWA30VPPavSEKFBxFOm/UQSMNmE6VFHFaR20WMcRuhLTTyMUlIHfvQlVR30l1K eLastfTGiRspUcVm0qz5EubIJytZZuT3E9xOnkGFduzp8+jQGUjlLZXyFGpHj0XJRXXR1OnUrPau YvH6tapJsSjJotwKNgXXrmjNqnSrsq1SuCzlblyLj65TvV35IikAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image178.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHQAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMADQAV ABAAgwAAAHAKC5IJCoIKCp8JCqsICbYICcoHCNIHB8AICNsGB+IGBv8AAPgDA+oFBfEEBARYEMjF jgSHlcs5YswiCQzSnUEzBCLgOGd8iYYqx0ECNMQdC4aDyXdKFGDEEwIxSDI6DoPzyVE4AVTJoUd8 ZgmNK/bS0PlAaImCEehenoOS+w0gPNqytAQdAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image179.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wKjAxMQJYl2OZWQAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYFpgeMQkCWGhs/gxTDf5BiBgEg/wCQtQyIFwANOgbE3FA1PAy+iSUZIZUFqQwM AWC7fzMp/Ie4cALYVhYmBoGQzNzUYgW/1HKFoPzcxDyGHUvelx8EYgWDj+U7xNJ+sgDV6QIVcwBp I64HjMxgnU6VEPMa/iGZxwQyL7gyNyk/h4EhSJxr1pePQjjMY2QA0R/g5jYwajCAzE2v5IK6ngvs Q0aw6RC7hMBqQXYBiQZGJiam4MriktRchp8gcxmAOhQZuiAagEDgixADzO0QuxgZmMEyAJhMy5uo AQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image180.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQADQAU ABAAgwAAAHAKC5IJCoIKCp8JCqsICbYICcoHCNIHB8AICNsGB+IGBv8AAPgDA+oFBfEEBARXEMjF jgSHlcsvYswiCQzSdUEzBCLgOGc8AYYqn0ECNMR9CoaDyddJFGDEDgIxiIGeHYfhxrhULwoq54rp ybhcQsP35O50WslVwQiQrYBB6Q0nPNzf8jUCADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image181.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYwLiAkZkTxBKKY2QAMpjnAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiaQqUJAlhobP4MUw3+QYgYBIP8AkHUMiBOABqUBMTdUDQ+Db2JJRkhlQSoDgwLY 7t9MDf8gLpwAspSBhYlBICQzN7VYwS+1XCEoPzcxj2HHkvflB4FYweBj+TGJtE8sQHW6QNUcQNqI K4HRigGk1bGSC2oLF9glYOOgdgiB1ULtaGBkYmIKriwuSc1lYACZxwDUocjQBdYA0inwRYgBYgcj mP4AlGEG6wcA3qbmZVABAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image182.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGgAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABgAQ AA8AgwAAAFEKH0YKG1oJIX8HK3oHKmgIJXQIKGEJI40FL5kAM5UDMZEEMIQGLYgGLgECAwROEMgJ QqIYExWyX0rhYYahMCPVAIwypNUBHAoBEwIgKAvsTA4FYlSamFaehGLJVHgCyMnGkCFQKQjFjyJA ZVodiSBxyTQUic6g+Zo0FYcIADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image183.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYwLiAkZkTxBKKY2QAMpjnAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiaQqUJAlhobP4MUw3+QYgYBIP8AkHUMiBOABqUBMTdUDQ+Db2JJRkhlQSoDgwLY 7t9MDf8gLpwAspSBhYlBICQzN7VYwS+1XCEoPzcxj2HHkvflB4FYweBjuaJImiILUJ0uUDUHkDbi SmC0YgBpdazkgtrCBXYJ2DioHUJgtVA7GhiZmJiCK4tLUnMZGEDmMQB1KDJ0gTWAdAp8EWKA2MEI pj8AZZjB+gEBu+JqUAEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image184.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGgAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgAQ AA8AgwAAAFEKH0YKG1oJIX8HK3oHKmgIJXQIKGEJI40FL5kAM5UDMZEEMIQGLYgGLgECAwROEMgJ QqIYExWyX0rhYYahMCPVAIwypNUBHAoBEwIgKAvsTA4FYlSamFaehGLJVHgCyMnGkCFQKQjFjyJA ZVodiSBxyTQUic6g+Zo0FYcIADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image185.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYFzAyMQJYhnHMTIAGcxzgWwmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD9MCxgZGISBLjY2fQYrhP0gxgwCQfwDIOgbEDkCD0oCYG6qGh8E3sSQjpLIglYFB AWz3b6aGfxAXTgBZysDCxCAQkpmbWqzgl1quEJSfm5jHsGPJ+/KDQKxg8LF8h3DaRBagOl2gag4g bcSVwGjFANLqVMkFtYUL7BKwcVA7hMBqoXY0MDIxMQVXFpek5jIwgMxjAOpQZOgCawDpFPgixACx gxFMfwDKMIP1AwBsZWBOUAEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image186.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGAAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgAN AA8AgwAAAEYKG1EKH1oJIXoHKmEJI3QIKG8IJ38HK2gIJZkAM4gGLpUDMZEEMI0FLwECAwRCUMkp FwEYFBmyUUyHSRl2KEhGlsDaKuyrwmWiLHPNMMJMSYmSK5Bo3HIsB2pEKwVWLiEtalpuFIOMwMBo vH4VAyYCADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image187.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYFzAyMQJYhnHMTIAGcxzgWwmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD9MCxgZGISBLjY2fQYrhP0gxgwCQfwDIOgbEDkCD0oCYG6qGh8E3sSQjpLIglYFB AWz3b6aGfxAXTgBZysDCxCAQkpmbWqzgl1quEJSfm5jHsGPJ+/KDQKxg8LFcUSItiQWoTheomgNI G3ElMFoxgLQ6VXJBbeECuwRsHNQOIbBaqB0NjExMTMGVxSWpuQwMIPMYgDoUGbrAGkA6Bb4IMUDs YATTH4AyzGD9AKjQsc1QAQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image188.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGAAZAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgAN AA8AgwAAAEYKG1EKH1oJIXoHKmEJI3QIKG8IJ38HK2gIJZkAM4gGLpUDMZEEMI0FLwECAwRCUMkp FwEYFBmyUUyHSRl2KEhGlsDaKuyrwmWiLHPNMMJMSYmSK5Bo3HIsB2pEKwVWLiEtalpuFIOMwMBo vH4VAyYCADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image189.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhqAA4AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQAAACf ADMAgAAAAAAAAALwhI+py+0PYwuy2ouzClz7SX3iSDJdWZ7oykpc2IpqTNNz7b34Tuq8fPsJIcFh pmhMAnzKD7LJe0It0imLaXXCsrYtV+v9jrBicLkXPmvVGjIb+Kam42u6w22H5zfzvdmP5zdW9UUo WPcWeIhiqNS4qCemCHnVl/RIiWYZhZmpCdXpybgpw0cqWhNaMaOKutL68EIx6SoECyJbK3mbIMur +/q75CsMnHIaS4xs/HOrTMs8BKscrVZczQaNTam9DXntvRvODD6eVW4+1Z1uR7bMXqaCDs85PE+P Q4z/nbsvSO0vz7OA7Z69IwjKF8JDLwoAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image190.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBw4DzAyMgJYk0IY2QAMphXAdlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqYDjA6cQkCWGhs/gxTDf5BiBgEg/wCQdQzEA1rUBjSMG6qGh8E3sSQjpLIglYHB AGz3b6aGfxAXTgBZysDCxCAQkpmbWqzgl1quEJSfm5jHsGPJ+/KDQKxg8LE8XSLtFgtQnS7UVCOu BEYeFnYgyyO/KLMqP4+BCypqxcAGZLmWpeaVKHBB7ecCuxFsEdR2IQYOhO0NjExMTMGVxSWpuQwM IJsYgDoUGbrAGkA6Bb4IMUBsZwTTH4AyzGD9AAl2f3FqAQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0048_image191.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhewAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQBu AA0AgwAAAAAAAAYFBQwKCwsJCgkHCAMDAwoICQcGBgsKCgkICAgHBwcGBwUEBAECAwECAwT/EMhJ q704682lEF0IBGRpit0QaCY5tijwxZy6TsRNY4WO2YMJcEfcuCi+omRgSF6OE6hyGtXdDicAgkQA JLYGhXdhAPQMXUEWI31RBgsSIyFJFAyDhiBBlrQCZQBwcnRjZWddfjc5EwoBIBMCB14GCwCOB00B kzkNihxtUgYMlHgAmgcHDZp+hT2Jo6VBqACdVWsyAUGCkHFRIFBHbU9/UI6FWJYvu24UOWKXAcgB ysFWiz7JEgqTp3/NzcMWoToNOiqBUlIJBggT5kKAn/PgSQaBkOBV+/psSdZIbqjzISAQvXDX+F2I c4BAgSqJFApzMu6fjiaFRnjSB4VBgIjedzIG2AjwYC1ICUYuYOZRQJAv9QRSrEBuAsMlAaANlIAF ms1NOHUmFCSFQINuudxNSGmCANMgNuhgVHphCE5dS+7RWbCR6VISCXJQTSlIKwCudUhABVusBDMs IE+O7HLiBJY9/urC8OKR2q4S6QAXq9N3pSIXJiIAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0161.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

<= span lang=3DJA style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PG= othic"; mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>

<= /p:recolorinfo>

When A cove= rs almost all of the boundary, = 3;

will be divided into two parts.

<= /p:recolorinfo>

Thus we fin= d

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0161_image192.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhtQCsAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACz AKoAgQAAAJkAM7vm5gECAwL/hI+py+0PU5i00oiz3rz7j1jiSFrgiabqWZZSO67yTHvwetf6Prt8 SPoJh5AYkWE8KnmiJabpjLKg0kiyinVQs5ktl2v6fsJiKbk8rqCV5zWo7e6p47g5vT650+z6dL5f wwf4JDiI92f4UJgos8hocPH4EykJSVm549inidl4OfjZOYm4GSo6ShrHeaqziuXK2poqZhp7VFuF a0uku9S7O/QbPAscJcxEXGycPBygXHYs5/wMzSw7TV2NLRSdfWvt6a26nQkuvky+Z36OXp7OTrvO 0Q3v+45CX/9976d/l6+Fn78v8qwUHOgEoAKFCHkdRCKwIcGIRR5KtEexAcOL/w4zLrDIMaHHFyND mrEI0qS9DRtVNtOQ0iWbkS1lcpMX0+Y3QjpLGSzZUyTFnEGHKSJaFFXApD41AmW6EuJTqPsgUtWT DOnVch+1bg00y+tXsAunjjX64uw4kmrdXBLbNtwBuHFVkKJbF982vHnfYKvZF4+lwGj+8CVsY9ph xPMUm2UsZzDkLIYfT7YL5/JMWJqvAe6c+DPoxotHHy1t2inq1F1XsyZp+TXp2LJhiq592nXtzLg9 ce4d+jZwtrpfXyjOuvJwWZKXRwaAPHVl2s7TQo8OmhL2znepV29+/TtmIN6rp9o++RN6yGHLL2/v vrep9YSzxsdt/77s/OI74Pmin5c1wiUHDoBtmWOgWggm+JUwDG6F04NQRSMhUwcNeBk9FQaF0oY2 AeShTClhWF9MIZqUE4kBEqXigVqd2JBXLY4lGoz+wDXjVcLlaCFfPHK4mI3elPbjh6gVqRKPSHJU 5JIxRufkjdtFCQ+V1+kX0m/qCCmJlZZwmYiXc4lpi5aoYFmPmS+5GCKZlbgZEJrUwHkahGBeKWcs alJGp1t92nZnR3neFOiZZf4p1KAYKUrHnqAgauiQjj7CmzKVsnLpnJM2uimmncYDKTqFkjcqoaG2 dupEmb7iRVJX8LlqUUEk+qlLPrjTKmMwPLYrfrv+moN4wAZrSwEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0161_image193.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhfwBEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAB8 AEIAgQAAAAAAAP8AAAECAwL/hI+pi+IvmJy02ovzgbxDDYbiuHjmGZHqygKoAwRxIL9pi+eMSff+ /zPphjmP7BhLIpfKmIcIHXWA1Gq1E81iOMxu09vlaMc7iPWMporJbDH4C38z1+wsN43PB+j1oflL A9gVuESoZLj30Of3oOfo+LGI0xhXKWdpGSmpYvbomae4SfJxWYppqimq0fnZmpaqeqFoSntqGxor 2+jKiwabK0F5hDgzaCyIXHj0C5yw2wt9httcAlN7bXs5Td3wHP0NtM3t4oBtnp0JM94tAO4err5O Xo5+bt8k3uz9zp8PvJvs0DFlAYcNTOIv1z5+7hLGmlUv4r058cYtZPjNoZYT9vMkepyoRCMjG+0w YhQ5iaSwjyztoVwhpExJk+9ecmLmrNxBgwWL9ezR0+aolxdp8hIqhai1lkxrIU1aMZhOoxmj2sG5 YSnIrZieDsValOonr1/5ZG3XNK0csjA5GggrVg9bFm5X8iSIV+BPYkCXWd2E5e3UuJ7mQrnRkati fH8twiV8xTAZu2rVSm4zGLKvy5MpLz7HGfNMzVZCi47QV2/eu6pbD8Mq7+xo0j1gx5ZdGbRpSaxI 276dU2vurrtV3Yn7G3g1z8MTFf/Xm6FZ5SDu7N0577nj6EenUy/LvNST7yOn4IlJ/rBKG+lPr2/c fqPK+BoKAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0161_image194.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJgArAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUAEQAa ABUAgwAAAHAKC58JCpIJCoIKCqsICbYICdIHB8AICMoHCNsGB/EEBP8AAOIGBvgDA+oFBQR9EEix mJD4sIK7BwIjNl14fCiwnAgpBc6TfoU7uEDjBLP3DJJBQmJgAHspAwIAWyJTiUsD9/w0CAJHdaZ1 HLeeQCPhBHsED4UZwPAgFmuR52putzEDGfh+ZzrKVXwYaXUYdwgMPHsicjBUT31sAAlGex5tCidb kRKcSIx9oBEAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0161_image195.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHwAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABwAT ABIAgwAAAEYKG1oJIX8HK3oHKnQIKGgIJWEJI28IJ40FL5kAM5UDMZEEMIgGLoQGLQECAwRfEMgp 06A4g6BU0CCxKAWoMYKymJiQAINisNMwcwwtrVIj0wfHJNWgOQ4UhkLA4k0MCiHIcMGMPppEZ8ut YgI5TUdTQIBiJQwDm+E4JQgpyEF6KhrsDF1h9m2LGAVcHREAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0161_image196.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFwAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgAN AA8AgwAAAEYKG1EKH1oJIXoHKmEJI3QIKG8IJ38HK2gIJZkAM4gGLpUDMZEEMI0FLwECAwRCUMkp FwEYFBmyUUyHSRl2KEhGlsDaKuyrwmWiLHPNMMJMSYmSK5Bo3HIsB2pEKwVWLiEtalpuFIOMwMBo vH4VAyYCADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0161_image197.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHwAiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQADQAV ABEAgwAAAHAKC4IKCp8JCpIJCqsICbYICcoHCMAICNIHB9sGB/8AAOoFBfEEBOIGBvgDAwRaEMiz mJyr3H3R+oI0LAdnZkBDSI1lbkYiOdPz3gBNLCFu0gyDzxRIGBRDE+FAGy44CEYP9+EoNL7nc4N0 AraSoPd7ScjGW0/A+akGFt3s5VlorOXz5LcqaUcAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0161_image198.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYwOPAxMAJYn0MYAQxmNsZGRiYGGTAsqxAzMkEYzExMkJZjEz///8H s/QYJaBi3HB1PEwOTAt4hIAsNTZ+BimG/yDFDAJA/gEgaxkQJ/AwMDwDGsYNVcPD4JtYkhFSWZDK wJAAtvs3k8J/iAsngG1lYWIQCMnMTS1W8EstVwjKz03MY3ATZaz3B2KFB8z1DAwGDCxAdbpAxRxA 2ojrASML2ElOHjD+XDaQSY4eXFB+HxPItSX5JYk5cD3KYNsc8yFuaPhHnhsYwfQHuFsaGHW4QCYE 58P4u1hR+Q4MED66vaBgB9kbXJmblJ/DUO8AFAjk4FqIy+8Qexnh9v7iABlhC7dnAQuIr5uPHsbY 7Eni5ppOnP8eMGqwg4xYlw/jr2OE8LHYQ1JcovrnASM32D8G+VzQlMMFTl1gY6HpRgisFmpXAyMT E1NwZXFJai5IjItBkaELrBhEuHwRYlgiyFiP7idmsH4Aqvhq3iQDAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0161_image199.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFwEyAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAcADAAH AR0AgwAAADgKNzEKMD4JPVUHVV4FXlIHUkcIR08ITkMJQlgGWEsIS1sGW2MDY2YAZmEEYAT/EMgZ SHOumADOm2AojmRpnmiqjtWVbd23znRtt5jGefZ6OAiBxINxGHrIpDL5Cw4fxeNySi01hbFoVTQA iqCOxHZM7nURX4y4zDZ7Q+B1WeEYJTDtvF5Et+P3gCd9Ind1bX8iDgqBjGWIIYqNkiCPlIuHDgcj DguTnkoYmomdn42hm6RsDA4NHJBYpbErq62JsLJ6tK6Ut3Osu7jBM3S1wpPEwIwLrAPGzinLDc3P ysyeP5nU2iPYotsSReHi4jPd1xho3+rY6d/j7+E07Oec6usYqfZl2PmMBhjT9PWAR5DGPwcBBY45 mHCMAENpLimsQRAeiYckoEicWAPjCI1t/36QwMbx3MhKziq+MyGSG8oqBCAmklkyUMwSL4WpHGfi JomcU6DgLFATANAxQn8SLToj6aalZB6+CXGn388pNK+myFpGajsQVbcuMdCggRRGXv1YBceTUjyj 4bAVA1EAqomjKrgmWqF3jNxkAOpu7avCggABDzbu+StC8F1KeyFJiImhgRMACRyfqEM4r9jPeyiz upzZLk6jSbqQ+uEtdBHLWEqjkEkzK8QHmgIYWIVBQevHnUEw+E2O7Z/ibFFPCE4FNwDdvBX9Ps1c wvAQMacFiBTIOfQivmdLhjweK7gV26fTJq88OVz29gxVf55tglOjDRSuL7+cCsT5HThAAMJ8tZ1H IHzu9OeDgMvRBmAsyLnVFigIovBDAVj8F9l+BnaoDocqXCjEI3jpVKFt/kW4UzgyaDjefyA++MmE cK3owAcXUCJDfPy1pyCFFZ7wAwMjIiifkUE+U2A5DhAJAB2udKHYNkv+aOVAkYVohJVLxriejIyg uOBZqkmwTENU9igmElzNlx55nLF3JIzKxZlmlii8CYICDxyWmEBVeigoDW8ZVyIA10nYIImIFPGe e9QUWuOhiYbwj2WA0jjpohBFAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0161_image200.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSwE2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABJ ATQAgAAAAAD//wL/RI6py+0Po5y02ouz3rz7BITiSJbmiabqyrbuC8fyTNf2jYdHzvf+DwwKh8Ta rohMKpfMpjN1fEqn1Kp1Gr1qt9yuF5X9isfksjBsTqvXbBO6DY/Lte+5/Y4f1vP8vh+29yc4SBhI eIhoZ5jI2Gi26BgpSRcwaXnZBYm5yRmk2QkaalQpWmqa83mquiqSyvpa6go7yylLeztpi7vLqMv7 O+gLPMwnTHw8Z4y8zKbM/FzmDD3tJU19fWWNvS2lzf295A0+TiROfv5jjr6Oo87+PuMOP+8iT38P RYq/n2TP/29AH8CBPvwRvGfw4LyECt8xbLjuIcRzEieOq2jxG8aMFNs2crxW6YPIkSRLmjyJMqVK DgUAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Cf. Wilson loop at finite temperature

horizon

Small

Large

Screened

end at the horizon

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image201.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQgAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAA7 AB8AgAAAAP8AAAJbjA2py+0P4Zk02osZ3Sf773AcSH5iVabX2amuxL5ywwbznZw4Lu785rsBgzMU 8TU5Fm1KV6tZSkJN0ilmZI30sg8dl7b9KmLisbdMRqe/tTKgrT7Hh25Nte4oAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image202.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJQCKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAi AIcAgAAAAICAAAJJjI+py+0Po5y02ouz3rz7D4biSJbmiabqyrbuC8fyTNf2jef6zvf+DwwKh8Si 8YhMKpfMpvMJjUqn1Kr1is1qt9yu9wsOi8eiAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image203.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJQCKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAj AIcAgAAAAICAAAJLRI6py+0Po5y02ouz3rz7D4biSJbmiabqyrbuC8fyTNf2jef6zvf+DwwKh8Si 8YhMKpfMpvMJjUqn1Kr1is1qt9yu9wsOi8fkcrIAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image204.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhZAAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQBh AAIAgAAAAP8AAAIMjI+py+0Po5y02osKADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image205.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhZAADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAABh AAMAgAAAAP8AAAIPjI+py+0Po5y02ouz3rMAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image206.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKAAcAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAm ABoAgQAAAAAAAJkAMwECAwJchI+pG+sPT2ix1mnzC4Lqb3AdCIojMqXqyraTAHsGTNf2jd9yzve4 5wsGKcJijmhM1hrKZszZNEGFzCl1ZvUBs70t94dyiccmGSkiMp8h6XWGo3Y7MHJLvM54FAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image207.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwAmAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAgAF ACEAgAAAAAAAAAIdBGKGGtv44lPp1EUTtvr6DmYiN27mVzLSNB1NyBUAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image208.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwBUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAgAF AE8AgAAAAAAAAAIxBGKGGtv44lPp1EUTtvr6DmYiN27mV6Lkeoas2qZu/M7wbefyXvP0j/N9JIfJ hAEqAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image209.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgAKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAI AAgAgAAAAP8AAAIMBIJhl8gNo5zSQFMAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image210.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgAKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAI AAkAgAAAAP8AAAIOhGMZu8cMnpy0oihVMwUAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0162_image211.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEwAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAN ABoAgAAAAAAAAAIpDI55ph3cEoxrUhsflRvpDmCOqJCS6YEhuqhfx66ufD2ibdf5tvNxUAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0165.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

③　A New Order Parameter of &= nbsp;
= ; Confinement/deconfinement Transition

•(3-1) Entanglement Entropy in 4D Gauge Theories

•

•We define the entanglement entropy in 4D Yang-Mil= ls

•theory by dividing the space manifold into A and = B as follows

A B

y, z

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0165_image212.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhnwBTAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQCc AFAAgQAAAJkAM7ng5AECAwL/jI+py+0Po5y0IgGwznz7Dn5iSI5miZ5qyq6nAcTyTNf2jef6zvf+ DwQYXK0i8WhMIpdKFCwIjUqn1Gpt2GRqs9yttysMWMfkshmK/arB6zY7+TzL5/Rx+u3O4/fueP0P GIhzp1fId2j4IibI2AhIiBiZKEnp53iJWQU5yUnZyWSZKTras+l5+olaFEra6jpjmiqrOsv6ejsa S7s722mLC+yo28tbrPcbnPwYQNxsfIqsLC03/Ox83RQ9vW3HbP2NvabNTS5VHQ6ePjJe3v5zrh6P jsHubq8DPy+fXn/vf+VNn8B9H/r9OxhmoEKCHAwi9JeP4cJUDh/aizhRIrRFjhY72sCoMaOhih7J gRQZ8hDJkttOpkQpjiPLki5hvgSzcqaymjdtgpKp0yJPnz3hAA2KcGhRoityIsWllOlSJ0efQgw4 VeqxqlYvYtWadY/Trq2ihgVLjyvZcmbRhh27VlTbs2/Vxm35la7bn3ev7tWL027fnXn/GmYBd3Cj uYdRJlYsyILkyZQrW77soAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0165_image213.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKQBfAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAn AF0AgQAAAAAAAABmAAECAwL/jI+pyygCnnxxUntxNbDH74XgKHZG1WXpirZSy5FyOc+chU75i61S TAvWgieeynU0soDDptAUUOl6O6mR+XQOi8kuSwmLarPP21RDTVuw4zYU+fXCw2S3LepTnnFqdv0f wRU3OAfmZ0dmprdo1XgImBhQKAdmKAaJeFOV18iZ8oi4JVlJWQoBikmEt8fKyIkaWiI4SUh6ehk7 pqnGh+YLm0oya0s7B5wL5du73CpwHPxGLC33jLyr3Oy5gQvtNGxa/FINrdi5eY4xHvtdCy7OjSxq zpu93f3HHg6unlquTc+IX6ZR7greuqcLDzpsruzFi6SvHSGBkPwtZBYQHkJZewQlRqTz0JtCgPN+ aQwZIt80jxTdWCT5b83JjSBUGjQ2E2WgkQxL9mqJr+PHlQCAJuwZE6OznDSXNngKlQGAqVSrWr2K NavWrVy7ev0KNqxYrifElvWKYGzarQrUJsAq1ewCqlHr1qU7V27bq3vD9s261u8BsGcJS8paAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0165_image214.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wHCAkY0TxDKPZ2QAMpjnAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqYDjA8YhIAsNTZ+BimG/yDFDAJA/gEg6xgQLwCy24CGcUPV8DD4JpZkhFQWpDIw GIDt/s3U8A/iwglgW1mYGARCMnNTixX8UssVgvJzE/MYdix5X34QiBUMPpavEU3TYwGq0wUq5gDS RlwJjHoMIJ05lVxQW7jALmEEmwqxQwisFmQHkGhgZGJiCq4sLknNZWAAmccA1KHI0AXWANL55JkQ A8QORjD9ASjDDNYPAC4VmLpQAQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0165_image215.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDAAWAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAAE AA0AgAAAAAAAAAIMBBJ2lqy9ooT0pNsKADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0165_image216.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDgBUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAJ AE8AgAAAAAAAAAJThBGnmBu/GDyvqmolNrj7yUWh2ESlIyLpea0u+ZoxCteyTd96zre4vwP2KDOh kfhDBpXD0dLZVCWhRyqzKn1mo6yr1wr9iC0fjoeyQWfUJhD2VAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0165_image217.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjA4wPiAkYkTxDKOY2QAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqYHjAcYhYAsNTZ+BimG/yDFDAIg24Cs7UDcADRoOhBzQ9XwMPgmlmSEVBakMjAo gO3+zaTwH+LCCSBLGViYGARCMnNTixX8UssVgvJzE/MYVqx6X74RiBUMPpbLqaY9YAGq0wWq5gDS RlxfGPjB7jWqhJjX8A9mHiNJ5jEygOgPcHMXMLoxgEzwqeSCup4L7EOwM6FuFwKrhbq9gZGJiSm4 srgkNZfhAchcBqAORYYuiAYgEPgizABzO8QuRgZmsAwAwWTbmKgBAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0165_image218.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFgAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABAAO ABAAgAAAAAAAAAIghI+hyBD3WosyGYUZvVN3B2kYtVWgyaGpWlZbe4biCBcAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0165_image219.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgApAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAG ACUAgAAAAAAAAAIhBBJmqMjnoEtLVUubPTtfjXViSILmh3Jl6qmny45vS48FADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0165_image220.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQgAKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAwA/ AAUAgAAAAAAAAAIahI+py+0Xwpu0vhgB3rz7D4aiRZYOZqYqhBQAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0182.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

The entangl= ement entropy of 4D N=3D4 SYM can be

calculated = from the dual type IIB sugra on = ; .

It is relat= ed to the area of the minimal surface which

looks like<= /span>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0182_image221.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC+29CYAcR3kvPrOaXUNjYwghMdi8f8PLOnYS7XT13cJXn7KNtJJ3JUtG9jOzM7PS oL08M6tdebzgEx+yjTG2sYwJBAjYARJIAgkkgAmPOOcLeS/kIO+PcQJ/QgDb8cw4wTHh//uqe2Z6 dyVZhyXZqxrp2+66vqr6rqqvu6vq7/7yjx/I8N8d2S9mLuR3lUuzmZdnMquch7KZkzKffCPFrQac OXBqZmNm/ejGzV64cVT2N6zbMBKEkXwu0rKAc5LrkKIomYP+vQzwbF8vnKPaskezxpMAz/Utri+b 6ce1L0vY6G4o+zr8PQPwn30//Wmc8y5KzOb6spkLyxO7yvVKsZCRXnvt9a/J/P5Hn5z7CkBW/m3u 7NeOfzLG2ZeU/xnex6T8tdm+vr7R3bV6eTKTobyZjJQ5M3MbpWV+it/JN7wmadMqfn0KeKhFJ/e1 +vQBuntF34XNX8gMcPqcmekDBXr3mcx/8fvBzNPZp7KD60eJbhur5cLk2ERZ3jY6PV4v75R36UPK FadI+ZmZK2uFXWWZ/ymVx+V8bcf03Exhe1luLFAE8tSurJbHyjunZdOUS5VinefrRo6Vt1emCBNS rhybnr9ynslOjKobtZvJpmok6HoZVVlXzKVZVdlmetKUYmGifGV9R/lKSp6tluXxwkSt3MEzc2Vx ojKzKM735Ab+8bTdcnm+uCNBj/B8N5wU3lFfkmOu1ItYOEWq1adnZsoleWq63sFJ9dWrszGpFuQK /YkRdiqmfqC7KcQUM78sBv1cmqcXsyAvq305LfbZjqOtM9lFOtN3FHW0YwVI3nPZVyQtOD13zjNb B0j64/hTKD4by3sOepUw6RSpIcc8jyVhchraOi0nTFbk6kRliiIUORGEJOIUKckyVd6eysb5PlWG XtR3cHKDPcv4QXV2ebv4yuRCqbSY1Yuv3QynSHKH1/PL8tRmx+S09qRVjtJKlV1LcOxe1pBFOBBO K95SHDxt53yv/nS7knonZyfict3O7dzdqyzdiKSSVAFQO10DCtarhanaRKFe7tbVQcGvoPGC3FDk +F+1XKwTZ4ghZbIB5anSKdIzJ8XS8E+nfvvUwTduHF3tlqbHyqu1IUWGdEZ0Iw0OetOzU6XK1HZv en4NzBVZJ7JFMD1I3FSpT5TXyJOVqStrs9XxGqJ8GNB6ZXoqQNvWyKOFuhyVx2Rmy4qzhmlrmCKr imJ2Mk5X18ibtlfGV+tDbEjX5LlqpV4vT8lju+UtlYmJSmFS9ndUCqu3lCu4KU9tl88aQ/xQke4v KBQnh6ar288Gto3V6dJssVzydq+Rz5qd2jk1PTfF42Gga2tkhttgujg7WZ6qR9NTdUSdhQZOlc5O JWwszJSro5WrqUCBuhdOlfzpSUqinnlkv1HPxPR2ScrX0Wpu422na+ulbiS39UmuQrU6PVevzMS5 F2delJafrFfn5clCvVoBo2frKL9prbtJHpTTWSUYuWVF4/pk/suXega9GzW/LGrHspi5ZTHLES3H QwNi0mbe/uJstQqKJVG9jPNySmqTOLQULSvUC1NydbreiyehjS1REjHH7cwOOTYzSyLp76KEVJNq 5aQllAR+S7H977KmuG+uFA/AkOEuQ4pTPWYUl/MB1RWmtkMZl5GsXqjW9520u1ooLSf6viKPNm94 pbw53KKkOANzlepAp5MgwaGQH4Qc6RFS0DFNx6lDlWMMt5xssK5dQe6mjO2mtjQ6jY4lu1qu1+pV eXs5ntoRVmSVK3KxPDFRuxraV+KJJPVLq5qpTnOGUQ/mKqX6jonKpNxI1bYgj09X5bgKwpyvAHF3 5E7LwMYokQGUHIdh78hBp0OL5OBgLNZEffc+4pZzNOnm0miiQTeuW0unj3Md6tDYX9xFfUoG6E7W hKzdEnGnEYURNJ2vAuKlqqAuT1cr24v1ycWcxo9aT71aKldzsHx8ZruNJdKEv1d0+UBMwng/ifFv slDbmULGzSUQ0nUR0kViBRSafI6tJL/k5jyeSok6EpNIVV2aaMSJlNC59hJNSlTVNPQSLfmcQsEw 0tBLtOVzLKtUSkMv0aHE8fFSaXy8c+0lQjF4Kv0611QqQ+p4kjq+LFUlOugK76WKGzvdGwYq6Uoh pkByk0oFmcbHbf7rXFOpBk9V6N/4OL+kU0GocdvSVVW37HFmqarFUqmglKLZum5rilJEu5iSTgWp FJsVVbXI0FxG7U6lOtQj9IlpZaqT6WWtl6oqnf4y4ju/SaUyYp+OVjHWuaZSVaLz2FipVC53rqlU 0KrIyoqFhrOighs7Xa9OXBgbL42XiQ38JpUKWmllNm6PF62yNo4bq5hKBa3iXqI3CZNSqaAVY6Cj btudayoVtCqXS6WxMcvqXFOpRCsNTS6zombjohRT/dVAKzS3hNZaySUlORrJVRFNZmWtSDwc15Ie ke1b724lcxebm9kZWYMKY3Y5sY+Y7eTZzkzPQDuTAnEgns53lJZwXjR8sDgnDhbn6BZkiE0Yt2tJ vrgbYyUkjlWmSomD3blF0tpRJG3nz0sQX0LECEVUy3DYq5244Y2I6zmMFOVTVHFiulZOR17IY3cU qunITfGwxl3WOGodYhJfNI4YoZjqoqj1iEn83CQPxVQXRY3GfZ7e2WlohAgaoZLgJupLzwlL8Gwg PHwi20HjEx7ukSV1b6bKZztogosQpNEkCVIqcSkhTsiJsz0JugGCNJ4kuCkzjT9xcOOGLj8pGG7t sDWhFSUXp6eKGOGSmHWczpVuCWpreTodE/GYVLcvIkrxQaUb0Y2hYabT0pHLqKnVamF3p7FrqbHl +vZe1EgSVd0+VoRTVe3kDOLoUqHWafuWOIaYGEtgknN9HD9ZqZfBYVw6Cev8XoliYaYbfXEv+u3T lalO/IUUvWN6rsPqmNdTpXF4ih2+kUBMFnaWeRxwpNLcEd7ZIoRHlxtgwQLmPjPlHqE3j2zszb9m UHEnJVrnkgiPQ4bgjHLJjoWO3y55mMLFbi3v9D7nCz2N5fK8aPKY9vUXZ5do1I993cS3TTzd0XJ9 doZ70IlXnDjFsRu8JJJKd6LiYK/4dmRi8MCTwAEeKCxxn/l8k7pR4o9ZO09eJYnJo+vxZ4skKfLo WkmyVMx9oFm4MjZkKioFNo1QPIN1h5JhJKOHahSPW4qBqkG9Rn1JWjuaTG07FE3os3ySLw3SkxFO MV5goryrPKH0GtZ9KFBEH+uKzC8Uxjy/uLOXZXomnSE1i5ytlatpAix5xCzlJ8oQlGoquL0w0Q0V 9O4thILKlcq7KsVyIpM8oVwtkF1NoRybnlm9Y3p6ZzeivDSCeylL8kyVFkUoXd1W0nrHFqmtpCxS PqYsUd5tV8SlueYncg82J1wkK9lhIxlQ4iN/BkcwO8PtZOxhcXGgLBTVk4lOTG/OKzHNHnI0W2aG MmQZSsqgK0OGqSZ/Y/utdB5RbGNDBupeHTclubAh3TDiGXhsZKWOqnSeLq2R8/XJmTw97doy+tar L9w1VJ6pSakHb2rnwRsbUiUuU0vkZ7JQ3dm1B0tlQ94vz6kK+ayx2Tp/Qk41vBmY48da8g6qZ6xc ngIda4WxiTI9EQsuvWjj6JbyWKy7Z83NzQ3Bf60QGXaXh1C2k4eejhWmSuvA0jVyaVdlpiavHpZX g7fy6ull/UXqkqgEzcZCtTBZhhzUgGWmcq6pKL9CTZzBXKFWLiW5Rqdnq0XUI28qb5WnZ+twTfmz xCFFHWLWGsViJvoK+1feGpAOaUrPG5Y7kVyx8sMNencAyHuNzoxlYTg/2qABEzdbG6PS8IKXdxuQ LFw3jTS6ooHkSm2ilrxNGc7vqsHmQcZI0kjEhvM7eIw9ZCBKiqMmQKWZidmaozR4OV73BbA3lakG YWtsU+RUHpCPLTRWw2ouJE9sFYlkKxYtxFFlI+Xa9MQsPWvlOoCYS5dEdVVC5nVIqRrSWVGScscd ofYqfOKw0EjlWZ1k4n3jnVI6Tds0Qg1K5U3jjpF2SsfuMJXeNLJN2pedbbiyC0XDEMGNYmGsJnMF UxgmrA2egNoWYKsLmJTwsMRnOXEZur2iOyKCVRdQn0GDmXIjZht3mYm3F0ByZwsT45jyNyQoWH22 RtKS70XHeSFmlLs4PVMp1xr5/x7fyFsRGa0v1BPve3XsfkvD+cjztiUP3q8Yzk9N4WY4f1EYX4v1 Kr+WxlfXC5WJBqUnDx+HZdwndp8eUW/aPVPGbH2YB9bHpBqfoqdPcZSHAVRGZSgYT87zYzDt8tZ4 2iXlvQpKQeW25r3ZykTJx9S5QX94qFwFbcKp4jSNxDK1bpjcf9lt5MenpzvzmwVViudw6DP+7ELV 8sR0gd4Loa0gTKc/20CM2njSswbdMtzGrSUiycNS0mNkLI3XGhAGyrU1zrONl4XtH09eJ4Fycq9A SLaManQlqA1sTXoOhnR/ruGj6fJEeWo7LKPBJWd7mSftWJSkd5IkSptv0LiSTtc66XSlLLsXFVe7 yQwuJWWRkKc0vygTS1dfiZPq4GU+5hLdopeNYvz0jVMQIMWqMUzC7eUrJU7L6lx8KfLL9plYhOLL Wv43xdAGHzI0KXHvRmU3FghqrirDyJXn+f1oVzJ4iDcCjdxKvkOHnyDKPAyOPy/7u2V/B+8RBeZ4 IxEH4hcLxR2dwQYJfvw0qqcOq4cYyki86G55iJPlCuqZX4m7hkIWx2fLFTIOyVOyffe3IfFYEA5X jouybZWrcwuNtYklWui5IYmTCVKubTRQJ3BRP7fPSNtnEis0DL4wmz/oHKUb3oaZiZgiMCTl4sLE 9DRZ/0JpVwOtQCFqDBRfyhd3bG+gCwjGyPUegTG7L1d3YVoG/ejeu5SJEOACDS3tAtop2J2kd+gG aqyQyEzUdiSY1VjtqDUumeSruBpgXHBlFXONJKwa+kJDIqtJnaIEGDzqEb9OV7u0iY01DZosaUB1 SVXS0qpUe0llEHseExNrlM/LFlcj7aOe4kS1W09MpoTVaQrFWSFXcVaJnM4al8bno21cspMfnEyw 0yNRZkmNhI7UDWoVzYvo8fRwfmZiWwOFkQ3sXOjdyhhjGrGQ8AR+K3USKBuY1L3pRlY7kdUkMkZB zWvEwkqRiaKjo906JqpxObXXDrXbDm76SgtXuPFEhVovJaPfcD5o5IuEeJ8W5goalqemelYAWUm/ iQhTU9ISM0ApozK33CjrLrVnbpd3sX4gI9eXWZhSVNMZCwg6lszLX9QoFpNggCA8jUbHw+m5HfxV bUPqhIEtP3pR7FMNy/EUKfU+MH/pvt0z6HKsKXxuwmcESqI6FEFNGHIcmkPkL7kU/Bi5tKMRfECj KSJRmsg7TB5QQ0IjOo+quo0uL250uddmuTMdpzkHd5gaXW8u7UDFBXsRnHgwvOk509Z8OiAxJfZ0 8pgFw8AhmcZr1TCTByzDNC71RF5N+/qG0aDMGAxkzVQ4GTRT1qWYlcVd1Rr+8KGc6wSRwDQsmw1Z Jq8ynr5tXRwZz2+3LgxL+VKlGr/JyJd27270gjTM767HEawTUU9yqN2IJIcmxREzjTgZ1ma10/G3 4icz3eACz6PtO4/UyUPhxZYPfBlZNl0bznsBfCIVpOmOPiPzmGzjspuPPpc20K6RS/O7GhSzlVK3 ypcueHJvxpj4FDP8C4S6PLejXC2T2kp8pr/trKBSm5ko7D77rOHy1k1nn7UO6ljdUiW3V2ZmHr7O 2Vc0utrWwZIEJ6CK0pKkRLj5JW0TExvNJ618MMFUgnuBHdMcm42FxAPpfQrSaMRPaTeN8EEb/3HH 5OSrFBldRtdjd4dI2JCIaKnBtvNId2Fhn5ji8jEuwtrDJDX2iylpnQdtTXB2HF/uiKErk6kpv9S7 lSu9DMkTXeJo6kOmkfjVVydiJH4jBtlJIvjjzu29GUShEeMhiS1P1AtcLvjs3U0ithL+TiYpv74x Ks/IcRJpXDKNHePRSaDYWK3L6wllY7XGb8qN1Sq/GSfHbz1NLbc3FB6zo8H4tdKIc7y9ERfZ2Yhx zDVS9ecnGjMykM/hdrIxIwE93U5RrMpvp+mW8VuIjBzfVRs0PNNdrUFvCeiu3qCZDd3NN+hRW6qS 3WiCGs80MbHhxh3O0ehoYripP4hAuEtH/npxUN60YxqslkM49tVfkYNykXx4dQgmaGyiUpRLSIUH NEiP2jruCXi5BmH6FScnK0yJLyq/GPyvyf9a/K/N/zr87xhTgIseCRQKZV3XxpUu1m1Sfm1hcrIg 5wPOqfymHWW6rCtMjpVw3VqR8xsBo5XtlGnzTK0yAXuc37iDEmr4s2GyvL0g5QsTMzuQYYyX3h6j jJmfL8eFmJy/mqfyP/W4nso0/d1ZmJkBjomk0slZOT8FmK/QN2JyvrpjWs7X4hbUC0iY7TRjhppR pD+IkfLT1JZuhUkljJAwjoUlaBgvib/886GJ8ni9Po3mT9Djw07M2HSdYpI8GIF3dDKloxbnorGM ykq9IM+FllQr/MOGJUHKTGSpTk9PlGr13TAO+empcicg5etzqZT6jmq53AuOT89WU6HKrlRarTLf Q1Ir7ypP9dLK1IZecKoylSo4gybCGcjTszGQcqJcqwHbRKG2Q8pvp4/VYLD5UE6fCVTrlcJEqTKO /rty3pPzPuRIzodyPpLhm+UvlPMXyfmL5fxbIFFyfr2cx2i5AYIj5y+R8yMQKwgcpErGhCa/BdIm 5y+T829FZybgLuenMLjAWNNTvkJ1hpoxWx0rT0zPSfy2MAY9RBNrxWplBtlJ/NBwyB36CByQQ/pc Ig/peDtkDDkhWsAKEqPxUv4qyASQgq6QKDm/i76kyM/TtzD5q4Fkuk6dr3TvgGOuXClXMUYWiCi7 ykXoNFhUKXPxk/NDU9N1/hDycG6kIyv+IsZTmynAOz4yO7Ov1myItf3QLI+0D8sjH7LlkRZbHjkW AsF2gWdx5iuSdw/S4ifv1fFG980qvbXpOpn847BuPkx4uIuSjy4KMD2T1dhjyW+eqlw1W47jCpi5 kt/Q6DhuyTw3nuZuSzBgambSbIemKhI91elMnY1O7KLn1UueoHfeGZGz0H0oq0jwkPPryxjKirXe 4oRe67tTl0b3swvun9NUfXu52nHQpaThnReAs/QsaIL7DguNbZ3uNFLPf2OXlhrWqZ3HSMm36Isp 0MnTbWn6A8By8tKj0aE0b6GEgWeyzNsHbyJxIrofh8TPw+I6tnUeByxBmn5Cq3Up3Hlxnu+8OC/u mr+Cnid3XsNswOQPjB2dKEzV6Z2LVKuQ11qcrnVeZGBGyVOJGo3OI6HEtecownn6npsndyvuPgzg OUbKnC9lnoeenI5yn68mV4s7ysWdjd4D8e5KGWLKNv6CgVolpwtxqnB3nt6rEdM6st/D01l5Qq5Y 56lNVzau6NK1UZwoY0YxTS/4el5rD013tQupVDyN9qdndmNGlfb1Mbs6yz9bZo5jye4kJjPFwpQM wdlBnwHQyzt5dLpYAXeHZBftGKG5UI0EHu5juTQkMSan3z0TlS6aGp+WreQtGvqfJO3CVIA05Cw2 xOC+Yo5fKE1PTeyO3w0PT9fpmfBZSROPrFlLkUezExPDkFHgXL/+IqYuSy9MViZ2JzmmJ2dmada2 HkyvTi3NuqUcN259uVSZnVyaelG9AH/E5Z/krmb6kKLH8ZVaVJkvlzZW6uBJV06IK0tbAvrxduTj lsaxG+HdJFakl42HWS+caPs2evMVP6/o3l2xpJaujHSfB0n8IZBhyF3N5uLTtdD0rIdcKim2N+l4 aXkP6C0TPFQFvqMBxIpqypahLCzO2LXKhmJbms1XqklLDUMShncN40KGWAqcwDQjU9M8Wzddx/JM my6hbrhaoLiuYqiOpTHfcVzL1n3fC23D0x1H89Qw9IJQ0jymBrqlepYfGbppsDCirxINxkzXdFyP KY4ZBrrnBmpk6qapGaHCHM/UmeX7luVJhqZGthHYjPmWEjBddVzmuIamWCHaFXqGjxKqbzuRb/qq Eplosu2EVuCwKNQtRfJQeRgFrqpFRhBZphcqhhvpfuhoTLNclTlhYLuK7jqBFZhREGlWaHpW5Aeh EjiKJzm2qataaDim4hqBE3me7juGaRhmaAeRo/he5Ia+bpmRq6E8GufbzDJ8x40MpkUhiMgcXw2C QDW9wAdSR3Nsz4n0QNEC07UjBTSz3MgxQBzbdXzDZAFyOjawgmySAcYqjAVoqqOZZuihGmZogeZC t33XNVWmhlqAxmmOo1iaFdmBppqBplueFQa+pGsOeBREuq6oYJAd+cxwAiV07EBXDQQNy3bUwMc1 shxF03UnVCyH6ZEXOqFpSRoK+Crq9BWTgeg6i0zTZyy0wtCyULNl+YqHMHN9w2AKCyAlpu+7vuuZ 6K8UhuCdYoJ4VhRpSuj66Ivi4b8KZoS+5auW5rtgNmMgIPhsRhAI5umuGnlqJOkhRE8DVbXAszUD nTRMK3IjW7eY7/mKoVh24Ad6qCuhaqCQHhKbIROaDho6kuoyP7QjzQmZ5zJUazi6BiaC3bqlM9MK 3UAPHHSGuZHi2o7j6bpmWyEDTzXNlTRVcyFHpudaumJouot+gm+K4SsuM0zioBdBTjTXVnGjKkHg mJahmZrjhbrjSypoC+G1bXQkjBxItw32OYEH9quKBhmBPNumY2gW5MYClRQtdFU1iizPU30mUes0 LQKxPQb58FXXBNFVP7JstCLyIYuGB675CkjsmpYG8TRsK3I0dNEPXclwNMghczTFMBVfjyCLlgEh 8QMgCMzANnTdMDymuXoAK6FS5YapBhaYqoDnkhIFqqN7gesyW9Nt6JvtgFWGa4J+YA7UzogiBoHV GHWRhItIrBsQPNMIJBci46OZEQwCpAH98XXoiKfpGkyBAaaAiLA44JVvokVhqEBRQg8VQ/0tC2y0 PcXVHVgbk6mK6miR6Tm65ei6F6qaCgSkILpGugWZQkNMzTMNxYh8G/SSFMW0WWS5mmPanulDmyHr oD/MEePNDS1PsTwYIAatULQIRs2BtnosstEKW/JdJXBhw0xdN4OADIGuej6sFXgD/lJffCvSHVUn A2Gp0DIrhKCgw4FnGZYEYxnZph+C7JYJxum25UIQAtUPFLDGsZkNXTQsDyJk2aEfKl7oR5qreJFt h54r+bYJVMyJNN3zvBAmGtIYgeuKHUCdINuOira7ZmRDf6AVJmSdzAJIE8LKSYYHsYSKhlqo+m7g 6UpA/FCgl3oAm4Ke+JrnqB7zYXwtmGTVBxM0S/Eg3A4sEjAoCoQKhheW2bEjaL7luSasJnLA8sAe guOhxRQr8KEDgRPaFoMkwXbboeSjlZbth7A7nmVr0B6HmaEK8YPywgQh0WZmpProjBXYmgrxgqKa jq0xx/BMycIoFIX4C72G8irQWQZtgUyhfsUyVObZro8EG0psqiqD3YLFwLhlY9yyLSnS0FzX1sPA tW0PA4AJ26PDCCiB4WAMcnyUikIoVIQ+RYqj+7bvmJoKcwJb69HYSESGdfPRPgcDHvrqKDYya9DM CMIGWTQhSx5QKYYBqdBsptiRrqqwXdDGSA0hU1BwH/qDzjHTtP1A82DYA83QbVuBMYZWYZwNoeqK 5dswIrAKGF+gzqHj2ugm8ipgboAhC7YWgghuGAF6bMJmBzTuMteGgWIubFuo21EE6YIZBRsd2Bvf 0WGrddvHqGzDlPqRawcKM4IAbbYCVbFhEGBMPFslg0TjXxixiGGYhE0ESVTInEbDrQXdBkIjDHWI rwJlJM1DtxVIqRnSmKI5pPEhdEexXd2UUK9Go2Nk6Z4Ci+voroeumW7IQp95JurRXB+SYKk6TKBt KKZiKx6NRcjo+RL0OsLA6yqQAxc5dOKCB2o6IHmoOSo0BubS1CIMoWg8NM4FvWlkMNEFRTJpOqLr KgYVnfm+Zpi+G4KhGErJ0mHotzHuuRZkUUXnME3xFVAi0jB9sC3LltBTPwT9LZoj6R6sD5RNwZAS erBl1MQj/AkEKwNByoVc/MhFhvYYtmorsgHjqDiOKfM3ymYCZy39TLO0q3K2FL/DluFPyUzTtsmO LjNV3dbgX18ue5eS9qzlBZlJqmIOGYbT9X2q49wHWNQwaXkUX8Q2Nj0jU7W2Y8PXgFdz1tVn0/u0 3bvlMpKoUPc76d6HyMkb+SQI9zlNkaVf0nKPiJ65NPiDkO73+snLqvgL9s6Hu1L8lfaiD7d7z2to aU76m/+F5MvbZBnNkoqXfCC+BA3ash80VC7t6ydfnnfau3TdufhOfYV9p25pQzbUSNWsIfgmB/2d OoaXZd+pa5p2sN+p7yq+9cKLZ0+c79ST/qa/U4+jXuDv1A3xnbr4Tl18py6+UxffqYvv1MV36uI7 dfGduvhO/YT7Tl18m77/b9PTvr74Tl18py6+UxffqYvv1MV36uI7dfGduvhOXXynLvC8wN+pH/F4 P8aH+7H5zkXlF4P/Nflfi/+1+V+H/61N0LCfICjNTu3ghavJX5X/tfCHylepeJVKV6kwFY0vKr/Y XTy1CZ5eYwr/q8YBi19s/jdOT5paq5WKyU0l1RoKqck1Llux+d+48FUxpqv4JGZXvd6dvoxbY2ZJ U4/C9IWGsPEKDTwAfkN3+xoDtldpbpcvFGfhfeWLhSrhG6tiiJXyk4UiD3InKl8slzCJJqNUrtIL orEJjBoFGuEJ+JiKcROD5QaCZIytzc7wFz4wVvNFmCU5f9XsdL2MwsnUYWp2coy+kN4+Ra0C/iof tIvlKRoCJ3FbK9CrWV4sKYORujwVzzX4bRJdqFEOeBx5eh/SHfN37J7ZUSYTl0wFkpbSLIXPTmSa lSSzkXgWEs8++KxDjmcbySxD4rMLwszJXitPVpLbuHcl+sA9X75qlkb5q2YxS4a3H0d2Qmgm0Bzs 9EI+4PRCSqYXY9VCcWe5HlOkQ984lCQlFCpWqsXZyfGJ8jwXgUKRyJzQNs5/aJMOefGkQ1o66aB9 monW5cn4umN2anuhOjs5UZilWSM94kZNmISUaxWalyXCcgCjtMjXP6ENOJ+GHLG9WN6aZBpyeBZE WmRB5MOzIFLKgsgpC9ITFDFeCzxiBZ1YQSdW0B3bFXTHZdXc8VszN8KsY7JkTjmC1XJo40t6sZwW L5ZzdEO2dGf/a+UUxXKMF26tnKvQwibLsxyFllP4SqB5geLZWmA7TFKY6bv4r3sWU90g9Gg5iut6 jss0JQxNWgTAIsuKfOZZmu16vuUbzA90M4xsZjHJURw7MCJktUxTCU3HtVCaeUCjOrSkxwkNS1HV yLI1WlLjeZ4Z6LT8SjPQskgK1CD0PdcBXZDfN5wgUnwz9FxG63d03dBDi9ZzqLTujBmeZXq6zxx0 WDM1y7AlHXWavmHYlm14qgpiqMxAbse2mOvYtGbICgLLQgx9oK8HgR/ZtODOtS3F9mxJ9QIvYmaE vhlMRe81xXYVR4tCI1Jo0YPiMlpu5SlhoBiBoWhO4OrM01SPmaFjSK7mh7TuyNVVx9MMz0WvaWVP 5GuqHWquakeOGflu4KqKazh2qOqWZRi0diGKbIVJaICi0IofT7FNBEIzpEbqzNVCN/LNyAAlojDQ fFPTFXTT1cNQQYKrqGiBKTlmYBiGZeg2AybLixwNPDXUMNQiiwW2RjzVIC1hEKguNcc3bF0J3dDw QiPwJUdT1dBmQRQZIaQUgqDZZgiR0J3Ip/VRDqiuGtQhLUJ3XUv3bNWyXdQHali0LiTUI891I1UL gwjyF4JrmqPZoBgYolu+5qIRtDRCMXTHMojHdhiBw26kuxKifNdRddf3fS0IDN0wI1DKt0LNdCDc hkdLZVTQ27EdI7J8B1LkMA10N71QNyXdVdFmW0d1lqOqYLvpoIPMNQPbDSBxTLOhBbqlggSOQlLv OKGqObrvq4ofSBoIbmmaopvMgiQpfuiFQK+poCfTdLAyDEz0S40C8MZXA7DBU9wAlAxDiK3kGcxW beiXHaHb0Ehm2L7q+I7razpI7kEqaC2cojLcWZ4aBjothvQ1x7D4Mi/dVJTAMkNFN2hFpgr5iiBy GlTNUnXN1xiE2aJVrMwHwzQv9E3GXPDZcJFZcjzLV03dj8yA2RBTzwvAI10xmRKpUH2kRrS6LYJi 0CI/A8JsoAeqAS2ylEiCkobQSFot6Xks0hRNcVjo+bRCUrMcj6mep0U6LXOxmMFXxYYuGSFm6SgI XVBDA8i00Cfts8AZX9E9zQlNOmPDQacYrSgyQD1oHNNdz9QNTfd0zw8M0/YkVTdptaWGBkIG/SC0 VER7tFjH9GABbGoQo5VxEC+VzB80WlG1gEVMAWcly9JgA00lslTXV2C8NM1loLlma6ofmHbkmapt Qw8ty9KhHjbIrAeweo6v+AhLdH4NgxEJdI3yAAMUOHBAY8uP+CpfR/Vs2wp9m2wa7JShmLZqssDX FcV2JBjbQKWFioppMMMPLN1gGpQAhtqxIlBWcwPNgBw6Loo5upb29ZVQVyDzBj/hxWQSg1mLfKga TJcVgZogTUCcgKlXafVtpLm0EsgOoR3EBWghxFU1NMenlUeSivHEActtDBSQXnAEOgh7BruvQcuU KAjDCGYaGAPbgHZ7EUYDKKoLyTRYJEEcIU2uEbEAPNV9zdSheDDvECsbwg7h9EHTwISdd6H1GBao k8zRQmgqxFpTPIXRsl+VluiZEWy/YlqQZcXXHfTC1TwPTfBUm8xN4Di2EqGltmLA4PlaKGF4CXTI ih75ng6DBssEWwUawlJ5tg9zFkRqLEs0uvimrnpgiaUHvoPKHQkkgOxjsFMNWg8XQbkcWvdpe6Fr GC5DScW1mYKRUtEY0EYM+BUTzEH3NEuC4GAIA+Mg7SoslKlCHkIXA4ONIQQC7fsgtxlB1nyMwjD2 tskwJthoj4uG04Js29cZxrgIAx7yRWHkwNyYOmkqC0A0DdTC0Id8zLTcCLKs6IzBbJqh4Uh8TDMC FQOHZjAGpXGJuJqmG1YQEkdg7NFY3Yww4CiQf9vTWAjpD2F9I0+yjdAOPAf1BSGkV/Oon24EEpow PgHk19CYEvqoA3LtOw5soEFqBTsZqR6ZeBT3IiPQjdAwxfIqgWDZErPj6z+JXUfEriNi1xGx64jY dUTsOiJ2HRG7jhzzXUciFxDanos5O7wyOFqGBH3F4AHnSvEs1+PPJdzIha/mkjjBwDG42Z4SwkLQ Ew81DBwP9iuyXfgmoaNLmJJDlV0fwhrQExIQ2YggiwF6BmdQDahitB/yCqulqgoowOBcmhEdeul5 EsxXEHAeoOkB+uFpaK4B64BbCIxmBTB6DJKIFmFU0WBUIxf0gRtpgjFSiOTQhsxjumfQIwRit26D RFB+O4pg7W2bjnQN0TGYqYhMg0uPB1AAVl6y4XabOiyk58G2+/D14GUo8OSIu/C8VQsDD8Q2gtMB kgIT7IqpOPBnyWFR4ARjSDVpRPTQBYe5IAeMC8QYaA16/IfiKiTS9kEWuPEYh2w0HuT0YBZ0ifqH EUUxYJpdC/VZ8Lh8y3Dg9nhMt0F0C4M+hlSM50AFm0WPuEDKiHweDG2w6hBgA0SNiB4gKBxNOLIY lRTLh1vsKTCPIbdpHmkwNAySZ8LdijCnkBiZAMNy074+OgQrD39e9UMzhFrD94N9QE8hspDhAFjA JN3hYw2N7RZc6pBJOiwbPD2IoUK+MRy80HZD07EheQbGNRh0OHloJwY2yzYtTAlscNXG5MHRQC8J psskklgqpArqp7qe5kcRjLyO3gS+BhYYsIkgrEXPXGx4vqrhwdY7GBN1S4KMqk6gYRgKQ9SlQrVh nYVDJBC8UPuOJMvul+47oirmNtlyZN1Jth1Z9m3Zsm1HYA2HmG13XiJVx4FoTGaasU1mzJAxuB7c DiYSk494BxPUC58g2cFknnYwoU1NHBOuDEabwllMbGrS25pk/xuZbNyw7rL8ho3h8OrRjesuGg7j Iz/XjtKB5cMbk2PNDTiecBTXJ0E4BKi9UIfLH2zmr8DtzumfMZHAp27MyPoUEk0z5HUUpoNW6Uqn jOIyKq0dSSrtpCytPEao8b/kuKINm9a6m2Iko2tlf6McUYC3/9DK86JowEGTAyhUpUcPhNT90MNS k485RjcnmZdTiFAleQ6ZOISfyqd7R41RDpI4z18+RRx3xE/TI/6bxsaprXOEJv9Py/Qcjmu4Iztx n3i3CMfIvnGnuEf4mLx+SVi19o2/k74uabu/LsE1U6jrso10FQbLlLV4N5lNazdGPfIeoEf7r3Gb Luu0Y81ocIgdMxYJUSfcq2a1avGKRpbk2G/XwDfqmq4cfNeer84DsStGySxNdjQ6DphooQzB0aDN cEhHOn8pij/l8jd0SgyHVAh/Ue75RCqpATpskGBiEpUmf0cl9tfYfbUXnt5hNJhKHXyLKfcRNfmg TBHTFD70rk+FNU1ZbEfUjh1JbMoh4FdVg8R9fSqoKcbBoBc7ZK2kHbJW29oQf1aMLIeyQ9YRnuQ8 O7Fl7mLlxNkhK+lveoesOOoEP8k57euL3bLEbllityyxW5bYLUvsliV2yxK7ZYndssRuWWK3LHGS s9ghS+yQJXbIeunvkJX29cVuWWK3LLFbltgtS+yWJXZzEKc6iz0pxJ4UYk+Kl+ieFGJNlVhTJdZU iTVVYk1Vak1V2tcX66vE+iqxvkqc6ixOdRanOotTnQWCl8jqquSTTXGq80t0AZT4Tn1Ffaeuq0Nw u4/1Sc6TF8+t3fn2E+c79aS/6e/U4yhxkrP4Nn0/36anfX3xnbr4Tl18py6+UxffqYvv1MV36uI7 dfGduvhOXXynLr5TF9+pi+/UxUnOL/1v0xf5+uI7dfGduvhOXXynLvCIU53Fqc7iVGdxqrM41fmI T3UWJzmLk5zFGC3wiFVzx3vV3KK9+cQKOrGCTpzqLE51Fqc6i1OdxanO4lRncaqzONX5iE91Fic5 i5OcxUnOAoE4yfl47zqS9vXFDiRiBxKxA4nYgUSc6ix2HRG7johdR8SpzuJU5yM/1Vmc5Cw8KrHX yH72GkmW3YuTnMVGJod5krNjEJO753kiqBn7OS007esfzsmhcGv11MmhdNSsYbxgB5MySznyI6kJ yeEcSZ1UfthHUj9/+UM+khrUNXt8XQ0fS1Z1Y98U0ZTnP5Qac4fDPpSa8FP5RYdK60bcqoOj0EGh OFQiMTog2UpJP4LO/mjEjOc/uNs8AhqxmGPpDlJjnIOm0PMjOFT6JNbgaKmstdj2qOxwVPYApazn 5xh177CPWo+bv1Rp2cEq/fOX7/Br/w3QllmNQ6r/wMVT4iI2xVpRm2LBmeEnMasK+G6qB70rFu2A tXRXLNXRD3ZXrE2XbdE848TZFSvpb3pXrDjqBd4Vyxa7YokTm8VOWGInLLETltgJ6wXZCSvt64td scSuWGJXLLErltgVS+yKJXbFErtiiV2xxK5YYlcscWKz2AlLLLsXO2G99Nm16L2+2FFCnN4sTm8W e0+IvSfE6c1i7ZRYOyXWTom1U2LtlFg7JdZOvbjWTqGNKtFXYWT6GcQtUCXYbQwsShioGC0UBTw1 ieN6yEKMJBBwhTaUgNBCx/0whOgotBaGbKJjKbopQVQdTwlhFCEFPjMdMN2xHJhizXB8OiU5gkiG MMEuiK8xCwSjo5UjC8IJLFJAygV7xkLNwQil08Y+0G7IECkyyA+b4kCEIYK0rQyZFYfWM8HeBzbY LQUQVkNxAs3zIKEKnfzrguxOFBgwdmCUR6odkq2zLEhAAEMROpw1oan7sIkuGuh5WsAsC8JnYRRz XUimr8AsurDYGA80PfA134PEoleKClbosIgYw8xIl1THUx2YWk3xyZzSAgykOxhd3UDBsGmrpgLp Z57hMjq92Q5cHSO4Ftq0w4hvStAPPXQwLnu653iQ2tAyoWQhFDhiGEAsFSOLAV7Q5kwYIqGqAayq hxbRVk8ORiYW+FQnLApMGxjtgShhoMDAQvYtjSueakVqpGDstSOdYfoBNVJoVoHhnTjK0NdI0cB8 WCcblhcG3nXTvj4IBp5bFsYoJYRVhi2ChkL7wFFoVEj7Xhi6FMIS62BDqDHmGEakUCrMB8yuj9mA FkIwUDWUl9baKSA6uiDW9wgEL9Aap+QjymXnKVvONplptmyZx/Y8ZbuzMmmdWIZ0tJYhJWuFXqiF BjrELI2ewvtd5nQY+E20NbW0iYIv5DqJTnOPJv40eZLuvGDoqbnL1iIZ+1m0YTpHdy0S4V+2kMhQ DmUt0kGhEIsnVuriCaYzvlQWzhC/HvyR4ke0eGL9pjDauenEWTyR9De9eCKOEosnxOIJsXhCLJ4Q iycOvHgi7euLhRTiSHGxeEIsnhCLJ8TiCbF4QiyeEIsnxOIJsXhCLJ4QiyfE4gmxeOKlv3gi7euL hRQCjzhSXBwpLo4UF0eKiyPFxZHi4khxcaS4wCOOFBdLOcVSTrGU86V/jPiiM/fEkeLiSHFxpLg4 UlwcKS6OFBdHiosjxcWR4uJIcbEsURwpLrbCEVvhiK1wXvJb4aR9fbEtjtgWR2yLc8Jti+MFiuLC WJiRYSlwkyBjYK1m2MzVIJtMRaUq3DqYnTBUIfEe/CrFoScXhieFcH91S3NJ6Q1Gjzsgd3DpXeiG wuDMhTRvt0LUhiYbTDVhsRSA67hQ0kiCHfU8Up7QgbNlBXDI6fBluOguo+k/XHOoiKHajGwqXB5M demsZyg6ZAKelMlA9Aiy5rsBWKvbcC0wwQ+goariWI4Kc+m6kOIQ7Y9suDugZgCaAZkPKwqX3PHg fZI/r4F4aJaOKTIZ7wgGIKJjpT3w0Lc9FYSBawQtC32osB9iGHAsiaSNzoQOyE8H2T3aTCigxxJo lQluMuYZsHaqZnomZvMqikGobOg0I1WDPYDOwuxD1+HPooyLGbxiY8JPZ0XDR4QnAUk2HB/sDwMP TcFI4yLJBEq4o+QJgwuRqsP6Ey9DUgI669uBaYK2MPDF0GBafMgZrGoI3yrQ3RDeo6KqqgS/Ao4v eoPuQqEhwyyK4LWBYX4IdxqjBQw27AeEP1QU2iVHATVg1mnzGduXgMdFR210ih7+QaHgk+lwKeHJ QPocE0MSaoJDyui5j2+pMBYGhmBdj1SoreTDd/cwKDuw7hrGaUXnZ1qrEC+Hniwx8r4juDjotgun 2KTTwkMf8qSA5bYr0ensUFpVR2fhaPombSbkoj0uxncGWw2lU1SMa1ByHfwJTDAE+mgrZPZYQEcU o3IMJ5gVQOMdH3YhYrYKoTENWD2oNW2CA4LDsUfHQii5C0UE5ywYyFAiIYdHDzcwCqkdmHPQMzVy vALTsZkP0tJR3iZlgt3RNZU/tgWFQmAKJCOiB3JEFAtWCTSgMcGDeDu6guFQBUUw/EKfaecol2Yt NlRa9dEucqANCYOLpwSGizmSDx/R9BgIha5rke7CxzbRGWbARkcw7Bg4SD0cnx4cGRE91dElmFI4 jQqMphHCOsHCJ8OxbVkYP1UMjGgMPQYwXSvSAluHGrkwHTqNERgbfRhkSClJO/RaAwXRbC0Ecsxd IHoYblXV8w1YPkzNoIYYFBRYOtADJg6CBKvvehjxdRQ0bXjHHgtgMVgY0BCsapi4YIYETbAwaEQO 2IrhyjDoaSuMAFMkWNgQwweGaAcjIwYUz3QhiBjgMGODAuqQB7jeJgQBHrqLEddxQ0ioApMAqoQS hBrWCAOmDgdbRUfBLsz8YHZhA2DTIC4WLISOwRoGA4pKtgFqHWqw83rgSS6GfNouCj6/Dn3HkB5i CuX7LDJAepBUp6cdmDiiW7RFkhmrpufAZDr0UACmBNpO+4RBQ1hIm245OqYsvmViIMJ4Z4YwAZBz 2D9M/Ux6WKVgymjC7OqeZUuREukaDCv4hXZr0GKQF1NIV4H9CEExmF96LAVbRYMJTK7tYZTSdcwk fZh8Cbwy+L5jUFXHjEIoH9Q8dE0bQxMjWaZnXiHGLKizg4mIDpQgG7iAIq5BBgVCaTJM4mC+XEwH MFBCGJkJTaB9wvwIZt5z6DERxl16IoFpCwZb3YHdNk3J8HXIO8ZpTEEsF0Mr+GthKqOoHiZweoQh ATPnAOx0YbeYT9NHehbrazrl1CUPFgfyDl1hig3jCtOEeTijZyQRHEUdE21mYrjggwImbmiv6vsa 2InJIsROYrbjWwE9QHUxm4KWky5BwzHOYHD3DBqlNExXMZtwDddyfY02DsPsFJkUjG1ShNkDphAu SEfaBrNND3kgvbBwDKgcepQPScSwj8kgRAuGA02A3MACYEYq6Rg1wALXiTCAwbyCcCqEKcD8QDGh 3xhXoGxgBCawgWJjZAs1qs/zdUzYtEiCgqI3kBKGCQY0BfMSywcDMRJB52FtGSxQhMkrVDbCFAJ6 pSp2RPuaYQJoaRLsFyZ4vq1agQo582gqrFkKxBsY6XkevAA1gIODAQWTEF+hh2cOpCdyTLg2rgQS Qf8gKgAYR4fZ9KIAgxlNBz3MMDHpVW0dE7kAM3cN+oIJNLyTAMYjBB8gSJgphD5NCxRbR8tpszkX UuFgGgpTiSGQQS0g7vCumAaeBzQ2QbBh8zFTk0izwGw4YBj6MPIyTA/Ac1A01EgPMPUm/0SBWVAg vXBPTN3B4BhiIo3hUJFM2n8usOEr0IN10wbZMNHCNAMzIBv2A9bMQMdgFiJ6+QQ1CpimMcOGj0Qe hkTP712YCExgMbCppBQ+JmceVDsy4e5aVgi3AnYFkzRURG99oF8m2Wey96YEo+MFUeQGmC9AwuEe aHA2fJMmtJhnaCamnzocJdqfLcT0HApiw88MNEz1FDu0JZI9xKIPmPnC4tCLA9g7CBS5gR5maY54 8rfSEaR9/WO4v1qyz8rS/dVgTrbJliPrTrK92rIPiJdtr4YJGt8QJ/lSoDoORGMy7O822bBlXaX9 2phsqtsa0sHs16bKKYT0+EziGIu0VxVQMYPObz92e78V6ah4K9n7bZ72fqPO2ZYKKllS4azKeTyu cBYT+8IdzL5wYleslXWkONLoSHHmsCGbHfyR4vaR7Yq1cffFOy5UTpxdsZL+pnfFiqNe2F2xVEXs iiV2xRK7YoldscSR4mInLLETltgJS+yE9ULuhJX29cWuWGJXLLErltgVS+yKJXbFErtiiV2xxK5Y YlcssexeHCku2C7wiL0nXvp7Tyzah1/sQyH2oRDrqMQ6KrGOShwpLtZOibVTYu2UOFL8RXKkuOmR SkIEYQNxb9JyH8mjnYR02vNEgRbThiIafddvRYaqW7SvAayQo4CQMGNOCM6RaQVzzYC5UF0IkmlB EGC2bJ8prq/BDMEKWI4fQMshxugmRifwWDVgjGxFh9XDgOCGim0yxgzJCzTayCdioRtFhg/7SZvc 6KZDWz1oJoyw5pISh1qkmRajz/mZ7iESldLSOHDBUi0IPy11gQJbqhs4KtNosYOneIqp0yKeyIZ1 MMAZNNGkTT7QepepOpgpKR7tDmO4MMpoghKoIboTgpgeVIBWv4S0owMQgJCqCoZbToARC8Y39D2M QJIaRCywQ5UWz1m0IYzB+x9pPvoeMdqmJPJpLLAMDHOKDg6YiuNDiFECLZYw0NKCGIVW/ACNoQS0 eRSxFfbKp02GHDTLg5KYlgmDZRswRSZY4cFQhQbtj+Qw2BIfg0oYuahF1zRTh73xPZOGP8c0bBv2 DdMIMMyk7XQUBg4AEQOpQINQtzWYOt3TMNqoFnjn0/JB3cSgriq2+LRbIHihvkhPvnFcduK3bm1D TpSyj+mJ3w6zk6++J573y+60ry++8j7YE6IZnCJMK3onRMM/so19nw+9/DTokYMphjnx8x4rTe+u D/dY6U4X0mdCr0ZjjIM9VPogEHSOlN5PE6iL1IU0BiBYfdBNOAgEqVOtN4VbN0ko20ETt6pHLUKo QHG6XO1miH+dct1f/sLyxK4yPceQo0jepunx5wVa8i34+sXFz7r8rMLlZ58tj17YQT8ixX8Prm06 O7qNG9tv48TCh5W08MEyhjBtE4eBi8PAxbIHsexBLHsQyx7Esgex7EEse1j5yx4WvdcXSyDEYeBi 2YNY9iCWPYhlD2LZg1j2IJY9iGUPYtmDWPYglj2IZQ8Cz0v+APC0ry8OAxeHgYvDwMVh4OIwcHEY uBivxWHgYkGmOAxcLMIUh4Efl8PAxQHg4gBwcQD4C3oA+KJ9+MVh4OIwcHEYuDgMXBwGLg4DF4eB CwTiMHCxiY3YxEZsYiM2sRGb2IhNbF7ym9ikfX1xGLg4DFwcBi4OAxeHgYvDwMVh4OIwcHEYuDgM XBwGLhCs9O3WxAHg4gDwF+3WcIauQIDM7j5dOph+6DvD8VKL1uvvE4NhHMQmcQo77E3iOp1ZtMcb urMa7Tu4LdoOBsPzbBNHnaROpFEAw8E34XnLpzaJE3udraxD3o0h2wL7NWfIVA1xxrs4411sdiY2 OxObnYnNzsRmZ2KzM7HZmTjjXWxwJjY4exFscJb29cVmZ2KzM7HZmdjsTGx2JjY7E5udic3OxGZn YrMzsdmZwCPOeBdbiogtRV76W4qkfX1xxrtYHieWx4nlcWJ5nFgeJ5bHiTPexRnv4ox3cca7OONd IBBnvL9QZ7yLj/cP5Vx3WqaxPnXAuGnEn813zhuHrKxLH4GuLQ5T8XXJR+WhL38gE/v6SnYoG1cz U6jrss0/rTFxY8sw/vKmtRtTn8Bv02WdvpUeDY5a65YtAqBqkzrpS3gA0ZDe9pX4V8gdypKEdb6F oG+gN1UL8Piq0iCc2uIOyLtPr1Iq01NBoV5eI49CcKIyLTuRFWcN09YwhX/Ui5IdESK9qK2Ru+eV k4BtiKRXJZR7beY1mVOkmZkr+ZvHpBmnSJkBnn5mpi+Tzazm96dmNmbWj27c7IUbR2V/w7oNI0EY yeciLQs4J7nS16aZg/69DPBsXy+cA6zO5o5ijScBnutbXF9/ph/XgSxF/yXA7s9mSplfHni6NTTw ZIsN/KBlDPxLyxn4buvNA//cOnfgn1rnDTzecgf+35Y/8M1WOPD3rWjgbxP4BocQECDsDfxD6wLk OW/gH1HuH1H+m601yG8P/F3LRB4dwJAvj/Bq5P0V5Pll4P3lgW8BHuPwKxy+hbb835aCdBU4NIAJ cDjO/9s6B2XOBZwHOD+Bcwa+jXq+gzq+hzq+jzp+ABw/Qj1PAN+TrbMH/q31iwOt1uDAM61fGPgP wI85DA48C/gxhzMR/4sD/468bbSlhbJN4GihHS3gfAbt+A/g/3HLQpk1uJ6LvOcjr4t8HvD7qCdA nX4CHocnQJOn0Nan0cYmyrXQzhZo3ELfmsD9NNpKtH8a9T2Ntj7dIl4caykc4Nenjrk05pJ601L5 ZCKVs5lXDKxpvRzwsoFzAOcCzkf4/JY0cEHrZFxPGTiv9UqknYI8Jw/YiLdaJwH6cb9qwGn1IT6L 9AzK/rR/Tesn/XbrOcCz/Vbrx4BncN/qd1pP97+59VT/ua0n+88HuK0n+j1cfQ5PcfBa/4a0Zv85 rTbwPIMy/wH4MeA/Ac8h7jng+AnSfwI8P0He54DnP/sDwFrUdzFgHfJvQLlLWv/ePwocm1H3FtQd w1OAJ/svxXUz6tqEuNEELkF4I+I3ol2XtH7UP9L6IdJ/hLxP8HJbkecytGsr8G4B/s2oZxT1bkYb trT+C/HZgctAj62tgYEtoOFm0HAEtNrYesXAMGB9FyQOw8hzCei4CXS8FOW2oPwW0I9wXYq+bQKM AC4BbEDcesDFSF8LOvvIewHofi7KvRnlHeBxgM9BnU6L+HmsJbs/kbCBYyzZPY3qSfZFiWS/KSND cmVQ6f8BvAGSfDqo9roBt/Vzy8BvnTbgtV4PeAPCbxgoAMZaZwwUASXEl5BeQj6CcYTHW/8N8CbA L3IowbaVWv8d8EaAjHIxFFrUhqPPjb796DulD67qyzyem20+nvtO+1BawoYOVy5++tOfLpGLQ7N4 h1ZzRy6o1qUUGEjJxSmJXORAjWLzX0CRb3KqFJvHaxzoP+azkuXacjypsm+pHehKbTn3WYztn20d a6kdOM5S279P/mwaIGr8AeA3W5sOkSorzcYfT6r078fWnsml9tWZx3JDrWdzSus1mPf8Un/YOg9z hOH+Smtb/7WtYv/e1nj/Z3H9OsLfR3ymfV7/z7Z/qX+w/Zp+1n4257Qfy51z0Ha6P3OoPypxUnYV /v4QDpl/6h9nbsH9G7MX8VS6ntn6Zu6sZBx9Y5bqyu4XWyy9x/Y3sJ/7o/KbsV+Vuj/tqPZrVfba R/Zxf5T6dcYr93V/tPr1tuX3R61fJ+3j/qj1S1l2f/T6tSp9f+0K6te1x7Bfpy29P0b9um4F9eu6 a5fer5B+PbL0XvDrpaJfK9VurCQ7v/x+RfTrWM43juE86ljOD1P312aOar/2fb+CfrFf967ME0fg 1x2Pn/DrhF8n/Drh1wm/TvgJwq8Tfp3w64RfJ/w64dcJvy7+Hev38b2vBTrv4x/LKa3v5dSWxMOr Mk/mzNYzuTWtf8+9uRv3XM5rZfrXtvr6L+rGDfRf0np5/5aW1H9Zq4PrlP5C61X9b++GX9Nfa722 v9EN/3z/ja3T+u/o4nhd/32t1/c/CPhgN8/p/Q+1Tu//TCr8BYS/2i3z+v6/QP7/DfhGN89p/d9q /Xz/97rhn+t/svWa/v/olnl1f7b96v6+9iv7X97uxL2i/2faL+//ufZJ/a/vxq3qf1M70/+L7f/K nd2N+3FOaT+T09pP58x2B/+/5t7c/qfcucfhje62xPPfBs//bu75b8u8ON/oHodf9pFv7/P+KPxe ddrJ3ccZSur+KPxodvvtfdwfjd/bUn1529Ht1ytTfXnlUe7XI6m+PHJ0+3Vyqi8nr6B+nZHqyxlH t1/xrD3uS/pe9Ovgf6el+nKa6Jfol9Cvl2y/xPj1UptvHMt51DGdHy6a6x7lfmUy1x27+Xxm8evJ vqPvrCx+o3t4ft0J8hN+nfDrxLgo5meiX8L/Ef0S+iX8OjF+Cb9O+HUvSr/u+K9VfTw31PpGTmn9 ac5ufTkXtj6X29z6zVyl9XDu2tav5/a2Ppr7LK5fR/j7iM+0P5f72faXc4PtP82x9jdyTvvxQ1ir +kL1ovdeutOL72Vvbz6V/VCznf0c4C+aT2cfb/5rtt18LPuy1tezp7W+lB1sPZzNt96b1VsLgB1Z 1tqUPbvlZv9bi2VPbf1C9rnm8efF97Kl9lPZ3e129k7AR9tPZz/f/tfs/2o/lv12++vZp9pfyv5X ++HsSc+8N3vyMwvZU57ZkX35M5uy2Wfc7DNtlv1e+xey3ziOvOi87x4E3Qez/9A+fvTstOTZ7Beb z2Z/rX281skfr11+Bva599Rv9d3Z/u2+Pe3P9t3c/nzfje0v9l3X/nLfO9tf6XtH+4/6Ftpf69vd frRvV/tP++rtP+urJnAVhz8F/AnCf9w32/6fyPNHfXMoN4fyu9pfQv4/7Ku1v4A8vw/4LPL9DsKf Qd5PI89vAe9v9V0NaHD4NIer0Zb59u8i/XPA8XuALwC+yHHOtx9Bma8A/gjw1QQe6bsG9VyLOm5A HTehjpuB41bUcxvw7Wl/qu+O9if67mo/3Hd3+6G+ewD3cni47z7AvRx+A/Gf6Hsv8r4HbbkLZd8N HHehHXcB591oxz3Af2/7D1DmS7h+BXm/irxfQ74/Bv5HUc+foM5HE/hjDreBJrejrXeije9GubvQ zrtA47vQt3cD951oK9H+TtR3J9p6Z5t4cSLvOdLbe+rjfWtavw74aN85gHMB5yN8futjfRe0HsL1 4b7zWr+BtIeR56E+G/FW6yOAX8P9B/uc1q8i/gNIfxBl34/7vYi/H3Af8twLuBv3dyHfnX1vbt2O PHuAc0+f27qtz8PV53A7B691B9LeDVzvAZ67UeYewL2A9wHuR9z9wLEX6XuBZy/y3g887+sLAGtR 38WAdci/AeUuab23bxQ4NqPuLag7htsBe/ouxXUz6tqEuNEELkF4I+I3ol2XtG7tG2ndgvRbkfc2 Xm4r8lyGdm0F3i3Avxn1jKLezWjDltYDiP8A0j+I64cR/ijifx04PgZ8H+8bBqzvwsc4DCPPJaDj JtDxUpTbgvJbQD/CdSn6tgkwArgEsAFx6wEXI30t6Owj7wWg+7ko92aUd4DHAT4HdTot4uex39vv +O5L0r/Pvaf+EJL7h6DSHwA+D2n5PVDts5CY314Gfut3IX2fA3we4c/3FQBjrd/vKwJKiC8hvYR8 BOMIj7e+APgS4KscSq2vAL4M+CLgD1EuhkKL2nD8ZwR/m3lT628zA88c/xnBeX3rm+f1Ke3j/yXl O7OzzXdmj/1+XLnDGgWOfGej/gPux/XObLF5Eygyz6ly/PbjejHsy3g8qbJvqe3tx3VNZm37vX2v PW77cR0vqd33zlMf6TsZY/DpGONPbdH9iTzuHU+qPJ+tfWX2Goyg5wtby/nztb618EVC+DpOm+6F rT0+VOl/HltLM6bjMVcZWDZrejijtx7OtI7b3qEDx1h/Drzf4MOYzX4aFPkwp8qbjpvVP15+/MAL TpWVu2Pnw9DhD0NzPg14+Jh4QPvj2Ytpx87jTZUXkwbdmlDFy0xknmpNZJ5sTWaeaE1lftSaAdQA sxx+2NqV+QGuMdQBVcAMYBxQAhQSeBuHHwJ+hPCPWmOAEmCcwxMJPAl4qnV55ufbl2dOa2/LvK79 VsBlmde3LwVsBmzicDrgDMSd0Z4DzAN2I47gnZlXJCAl8PL2OzhIXVhAeiPzKpR7bbuGenYCZwlQ BIwBChxeBzgN4Z9vEw2O9cg7sM/nFfSk4Hg9r+jNAezcm1p27tg/OVlOkw/1r29+qF9pvxhoMvDM 8WjJcpoQd4gux3+f7G+tWtvODrxWjLp8fHn1wMmt3MDprZ/0n9qiezHqvhio8mIadX+UUKWe+Ulm qvmfmenms5mrAFVADeF68znAfwF+irhMdgbXaYQnET+BPBPNf8d9G2VbiG+i7NPI92+4fwrxTwB+ iDw/AHwf9/8f8n0nM9P8Z+R5HDgfz+wCzAHmOfwThznkqTe/C1zfA55/QZl/BfwA8CPAE4h7Ajie RPqTwPMk8j4BPE9kdiP9GtT3DsC1yH8D4CaUvQU4bgOuPcC5B7j3oP49qO82XG9D+FbALYCbATch 7ia04cbmt3F9LPOu5reQ9hjyfTtzO+JvB447gOt29GcPcN+Kum5GvbehHXvQ79tBgztAj9ub/4Hw s0j/T6Q/B3w/QXt+krkecB2H5zhcjzw3NX+MOv4dONoo0+R49oB+twLnuwA3AW5E+HrEvxPQAI3n kW8WNK+izAzKTgHHFHARD6eaxMsT+WnGPVyq+zJroPWvyd7dfE32Pc2fSeDVCL8qe1/z1Oz9zVOy e5snZx9ovgJXicP9uL8XcXc3X5m9A/luBrwLcBPgBpS5DmWuRfq1zZcDTspe3xzI3tjsR55c9hbA rRz6ExhA3Eko+zKUlVD2FYCTOY7rATfg/ibALYjfg/Q7gPNOwF3I/16UuwdwH+B+hKltDyDv+9Gu B9CWvejHfejPPc24f3fjfhZQB9SQXkNba8hbB+wCzCE8h/h5lJtDnl08/4k8HuQTy/fazDmg/LnZ 2wF7mudwuK35hmyjeUYCpwNen70G12sQXmg6yHMGOHA6OPF6cOT07IMIx/AGhAnfiTym9N78XgL5 uwRyuDFbbQ7jfh1k7iLI3toEIg5zgPnmhYC34H494tZDttdn3we4H2XuR/xepO9FGYIHEH6guQEw CtjCYW/zUsAoYAT5L+HwPsB9TWrDiWwLdyfcWJP5jexp7U9kf57Db2R/jsPDCXwc8OuAjwJ+DfBB 5PkA4EEOpwFeh/Dr2r8K+BDgwwl8JPv6FJyOuDPa92UvaN+bdQEe7sP2/dm17QeyF6LsRcB9IfKt RV1h+2NZH/W67YeQ/6HseQmci7gYPobwryP9o9kAeCPUuxY41qIda9GeqP1+4IghAPiIu6BNfTz+ bwf17Efaf4OWibeDNN8ezH6yzbIfaFvZh9t0L94OHilVVu55ZN/JntP+++xb2n+dPb9N9+I8shcD VV5MGrQ6ocrPZs7PfKK5JvORppl5oKll3tNU4Wlp8JAMeJAOPKDzM6VmAHAzFdxPNs+D53gOvMU3 Z65G+nWAmxHeizyfaBKuE/nr6A8lHpMDupYy72u+DXS5IvP+5lszDzYvBYwCNiC8HvFvQfrFmXsA 7wHcifCe5jp4q8Og50Z4rKPwWDcDtsJrvQLwNni+RXivRdC8CM+8mFlojsGLfRv48D/gtW8DbAFs RtwoPPgR8PBiwDqE18PT3QjvfhR825KpNS8HFAAlhLfDA66A129H2Z0otxOe/07UsxOe9M7MuwHv bU5k7gPsbU6h7eOAMu6pf0V43FeizZch76Vo/yZ47KOAEfTnEpS9JHMX4G7E3YN23Yu+3Id23ov2 3oP670b77wKOOwG3cVwnsp3qaeQ8tKgGaIDK74A0vAMcXwCXG+DWbmjfPLRwF7SxBq2cB7wDWnoD OHgTuH0T8t8Iiboe2rwArZ4/Dhr54rRzn1r1ieZDqz7S/MiqB5ofWvWe5gdX3YzrO5sfXjXX/Piq qeanVpWavw34rVUV3E82P7lquvkbq+ooczXSr2t+DPkfXrUXeT7RJFwnsp2bSezcGZnXZR5Z9f7m 5zmUmo9w2N386qrZ5qOras0/B/wvwF+Djn+zalfz71bNN/9+VaP5TdD9H1fdALgZcDvCdyH+nubf rnpf8/+AP3+16kGUfRA4Hmx+DeE/WnU/8N7bpLoeQZlHVu1pfmXVnYh/T/N/otyjSPuzVfc1/wLX v0L4r1fdDTzvRp23A24G3IDwOxG/gPRG8y/Rxj8DPArefg3hryL+K0h/BPkIv7BDpDHfhZQ/Dvg+ pP6HoMoPoAX/Cop9H9z8HrTju9CSf4a2PA6ufxfwQ2jRU9Cmp0HJJvI/De48Ce79AFr33VUnth3q vSG4IjfV3Jabbr41dxWgCqghXG9eDvgfgCsR97bcDK7TCE8ifgJ5JppbcL8ZZTchfhRlR5DvEtxv RPwwYB3yvAVwEe4j5AuAw0ceFzjd3C7AHGCeg8dhDnnqzRC41gLPhShzMeAtgPWAYcQNA8cGpG8A ng3IOww8w7ndSL8G9b0DcC3y3wC4CWVvAY7bgGsPcO4B7j2ofw/quw3X2xC+FXAL4GbATYi7CW24 sXkBrufn3tU8D2nnI98FudsRfztw3AFct6M/e4D7VtR1M+q9De3Yg35jnoH0zbhuRfitSN+G9MuB 7wq054rc9YDrOFzO4Xrkual5GerYAhybUWaU49kD+t0KnO8C3AS4EeHrEf9OQAM0nke+WdC8ijIz KDsFHFPARTycahIvT+RxIP2GoJa7u1nLvadZTeAqhGdy9zWnc/c3J3N7mxO5B5o7cX07h/txfy/i 7m5OgY8z4N0MeDADHsyAf9Pg2SRkawJQAWwHT8bBmzLylMDDEnhGUE5gHHHbUXYHyr4dZXcCJjiO 6wE34P4mwC2I34P0O4DzTsBdyP9elLsHcB/gfoSpbQ8g7/vRrgfQlr3ox33ozz3NuH93434WUAfU kF5DW2vIWwfsAswhPIf4eZSbQ55dPP+JPJ703hA8CMp/ABr7AXDhQQ63NRegZdck0ABcDcvSAFyT W2juRZ5rwIEGOHE1ONLIPYhwDAsIEz6xNozeEHwG8vcZyOGnYad+E/efhMw9DNn7eAIf4zAHmG8+ BPgE7j+FuE9Btj+Vex/gfpS5H/F7kb4XZQgeQPiB5m8Bfgfwexz2Nj8H+B3AbyP/Zzi8D3Bfk9pw /L/N/1qu2PrH3Mda4tt8euL15dxI689zhdaXcuUW3Ytv84+UKiv3O/THc7/X+kbuodbjuY+26F58 h/5ioMqL8x3onbmtrXfntnC4M3cphzsS2AO4FXAL4CbADchzHeBaDlsBlyF8Wet6wI2AdyVwc+6t KdiGuMtbV+eube3OXQe4Hvc3ta7J3dx6R+4WlL0VuG9BvptR102t23I3oN7rWrcj/+25dySwgLgY bkP4VqTfkrsReN+Fem8GjpvRjpvRnne13gkcMdwIuAFx17aoj8fijI1PvrF3xka571GeStcbm3KW 9mJ9lIfFGRvid4DfBQdIm1nZXaeToA4nbUX8DnTi1lE+jevFwPf9ndh21E9zezHwfX8nT3bSrl3R fD/t5IG+A6StWtl8/zZuDiVtRfF9+ZGGB0pbcXxfetTngdJWHt9xc6C03IrmO93IB0izVzTfe+d/ HihtpfK9e2bsgdJWLt/5bO5AaYLvgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lv gu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+C7yuU75kD8XZl851+B+LtyuY7 fgfi7aqVzXf8XnYg3q5ovu/DqB982or4HYi3K5zv+B2Ityub7/Q7EG9ftaL5Tr8LDsTbFc13Pqod gLcrfYVsJnMg3q5svtPvQLxd2XxPfvG+Gu/KPJE5/H01xO8E/11woCnlyu662FfjMNJWCN/FvhoH SLt2RfNd7KtxKGkriu9iX41rDzZt5fFd7KtxgDSxr8bK5bt47yfe9wq+C74Lvgu+C74Lvgu+C74L vgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+C74Lvgu+ C76LfTXEvhpiX43kJ/bVEPtqiH01xL4aK+8n9tUQ+2ocatrK+Il9NQ4nbcX8VgPOHDg1szGzfnTj Zi/cOCr7G9ZtGAnCSD6XBj7AOcl1SFEOgSQvAzzbl8l01h/TmsPV2X5+fSo7wNMHV/VlBrPt5q9k /63ZCevZHzbPyf5LNxxk/7n5luxj3fBo9pvNbdlvdMPF7F833579i264mv2T5tXZr3bD12e/3Lw1 +4Vu+D3Zzzb3Zj/TDf9a9pPNh7IPdcOfzn6k+fvZD3bDj2QfaD6ava8b/qvse5p/l729KfHwqsxj 2Vua38neBLilm+c7yPMdlOuFP4LwJ1PhzyL8pVT4UYS/ngr/A8L/lAr/AOFWKvwThAdavfCpre9k T0uF34jwL6XCGsLnpMIhwsOp8BaE35YKVxCupsINhG9Mhe9A+L5U+IMIP5QKfwbhL6TCX0X4L1Lh byD8rVT4ewg/lQr/GOG+di/8ivZ3sj+bCr8B4TNT4TzCdirsInxxKjyK8OXtDs++ky0jXGk/lt3Z zfN32Zn217P1bvhPsrvbj2Tf0Q3/fvb69meyN3fDD2f3tH8te1c3vDd7T/vu7N5u+Lbsr7avz364 G746+/F2LfuJbnhn9tPtYvZ3u+Ft2c+3R7Nf7IbXZf+oHWQf7YbPyf55W89+vRtenf2b9mD2H9o9 PfprhP8kFf4ywp9LhT+F8EdT4fcjfHcqfCvC16bCcwhPpcJlhC9PhUcRvjgVdhG2U+E8wmemwm9A +GdT4Vcg3JcK/7g1mJKBQcjEYEpGBiEzgykZGoRMDaZkbBAyN5iSwUHI5GBKRgchs4MpGR6ETA+m ZHwQMj+Y0oFB6MRgSkcGoTODKR0ahE4NpnRsEDo3mNLBQejkYEpHB6GzZOtiO5hJ7GB/Yhf7knAu M8At8pncbsb7M/z/72kE84hQAwB= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0182_image222.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhtwHRAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUAAgCx AcMAgAAAAAAAAAL/hI+py+0Po5yUhYqz3rz7D3JXSJbmiUrBmrbuC8ciK9f2HdIjzvf+r9ABh8Tb DnAsKpdMzDHZjEpVSej0iv3RDtast7lFdL/kMinMNastxsZ4DZe9T+O5Eb3Al+3nNz9ewbLSpef1 91FocAgzSBWX2AexCCgpmAgp1eiCiaTEyfVJZTlJodnyR0ppoXMZ6jAImzphioLqeUjbMZqbw9s7 q4rI6icrhmSZEluLW5QbW+X6OoKsiAsJSzdZHFy984wXHTR9seXqC3o+E9j89N2+nVYtLjoH75Zh r2rqHhaeMJ4HVbp4JVLlE/YOnTd/0h4MPObQBMNO3DRg67ZLTL5r/5geUvyFj8i+keU8zoJSMl3H SBsOPupHUqM9cAtb2XE5UZFIjjBxAryI0cpKYR5cwqHlLGXRaRhlCuW0ceZOaN9k6qLGVA9Qea8Q fWxZ0WLPf0rxYdWpFY1HqV6HIOVndUbVTsTaRVS3MazZhHGPyYK7VVxNSepAGJWrMDEohH41rnp7 d68xEXqd9OTbWDJExwFjRg50+HBLTW/LnipN83Opfl+dVAadcjC6ZZepEnYtceo4uN02kSw0dHWe 1uten4z9rG+kmmlvgq7Fjnny3qeHEQr8bzUhnRaNa1eojLNE0ufC33OULLpTcqaTLZQ2kBm5yQRx e48Q03zmbNQfB/9XTUd0AokmB36L/HXfcSepcROBQdwi0CMOfeJNdwmiV4mDmzQUg4Z7NQiIH6XU N+KFBvKRkxbnFQhhJSGuAlZIJhro4hpPtTHjEijNV98Tw9mXY5DZiWeDh0IWt1hRMh7JpI89GMmk CrNZyB2SUQYJkA9QXhlRilUShx+XQpr0wpZiPjYekGcmaGaYaxZZDn1fOUmWmm9WRiYjd3bIY5pW 7lmRECIB6tuXuhApJaGByqmion4aSlmSJToaYhXNUNqLpfz9iSkZWl3a6aF9ziknnWD602aoOawI RKpj1hEgKa6qWhgbg9L6HauHomUnrjo6d6uvtwEYI129CutWosn/IuuGLbnJyuwtwAQbrWJfmopt qQ9CW60W2oDaLZjE7sptuDgYBG60pFHEY7tCZMWrscYyJW5X5sJJZavV5oQTd+XeW+Y2s+pKa54/ rgrpsAC7pyS1BcfZo7YRT3wtiW4uDF1byz6c8KQa10swxkQZli6mrMnbLrvsvhtvyvCe7LHISxVU sqMo7foxyLbK3DDNDhOaVqQ5/8uzWRlvDHQdApM8ZMxFL5jez2/Wo7O9ODN6MWLdQjnwzoxVepvL La8ML8oq79Ya0bB5KSbbWTd6lcFgOFv1wVRq6jRs+7bZtd1aH+Wx2nlbrLBwct/pat8Pxu02D+Hg reyxhI/LYced/zY++Lm1Kl6r0+YYTXnIzZqLOadPipUF1Ra6WzbrY7d+dtqSLx6u4pxj/fYUqi8Z UOjzeF1305XXrmXNE34RX7GjA7/8tJlzBbDtxsPo6TXKDz85opFvL3z0juvnOI17YJd94ROu21kx gm8m8qzU+FW689SbAT7uiYptNnv84C825NzHv6dUwewdfLMa4Axouuf96V/RaMThjlRA4d2oTPNr 1ih05DsEzu5qytKG/kYCtA75rXlHkxR84FcSuDFPfrzz2Yge9xPZBFBPc6pQBoXGvhq974FnuOEK FYhDDAknh/ALIQVHSIyjfWs/TSmeBqfFv9hlJoqwG1Xw+jOa3v8Bimsh210P+RU0J4oudwlsITOu WEHtnclIImrhyLKoxdM9kXtl7Fnl4AEx6CFuQ2Os0VJmYkM9am6OZATi9X5XPviwQo1tq06PAknE H0JNfReBiQpHyMINBrF7llPk+wS5pr8kDzh9tF/WRIkNtXDOi8WhYstYlr/XyS6OnBRFERnJJYOQ Lw2+yMtzTJkhJoKySD7EpCG3tyNCzmyLo4HVLYF5zEii0TKXpJ0miwkkqDCMmag7D/hYqcxhdnKZ cixlOM2HsOARaDpTE4szUykeJx0onA5iJ47Mic9zspA9mUQID42DSl0JBZ1dBNZ4dknDfP7IlSiD JUPnA4068kz/l23EWmjqVEhugLOf0RzW4W43Js1g8mY+a+B9NkrHjt7vmhjT5RNJis2PnhSbtVTp 8cZpzKfJynoVk1S2oCZRSqA0oymlJjRzWrSdVrR7RhGEG8MyVIzG46Fkk2UsG+M/ok5Ub6cSqGFM VdRgRBWReMRZVgmqU64OlFWAtGZY9UFTiJS1m5JUqPe+8ym2pnQ7QX2RPmn5VD/aFaftswwpH+nT UiVzsCA9RVynFNg5nvWxW8uN1VxK08ZGbbCTWVcVqUNFB/Jqsn9d2EUj40GO1hWupXWrScXn1b62 1IUrsoZsCSuh1tYyFCBi6VEL28OwvVWhmi0hUimnTd3+tqZp/2VJT/nZU2Gq1q16GSs9lyrVt62v uem0VxI3ydk9UFaKrmvoy6hqxe0mlbZduU7OlCte+OJWmBE1o2/v2t2bMte3xQ2QfKfJPrByUKsy O+356ktdAidSqOMV5crYq+DZOpdU/cmjvG7bX8uGd77pG9p972Xg80nzvRv+4xFL/NmrwjPF/dvv agucof3JeMY0rrGNb4zjHLtjsy9G8TCCqN6tBhe2xv0v4/iIYtAheMBoXe+QG3JGDH8voT2usgkn CN7xqqsg2FpkdC8czQxD2MWthSkitfth0o1ZkGycLmuTrGK5VjV/oo0laUu85Sfjrs3D9Sucsffb h9zZyvhlGv8j+RzhA/4ZsAkmYVzFPNMn87TJpYV0fhudURQZ9dFPIzSNnIrYL08kyq+xbkH7DNhB HxfGfaBbkfG86S2Z2lYfJO+c0StnVWPayZc2MqXJ/FUHyrrByy22BXUNbAl/DdX5+nWwEbrmBVMP ZhQWtcT8JWBnK3tzbpZ2sr3dMwCWkpLq4zKHz63mzlW7hhQbsW4TJ+7VOjjLS5Jpp3eNTlLrOdFv NCy0E4kuFpPXobZ+WXb5DWK6frueaT7k2nibWXo5vNnQRXi6h2hlTdsUwBQXqVZtC72fWrvd2f7I Wu6N74NXWePdXrU/pXsiBaLIzJG1ozjRTTwio1axJN84xx///kC5WZevE7cvo3FeWW17WzQIKtQz c+Xm77rc14ySOrgLfXRnh/i2rXrcuP5T8wUK1tIAdbQhDWrxq2sJVQCCCiRFvm64E13EZC911luO di3XHbJRXziTDS1ElBPnIKOyy3NbTnU+Lfm470E8rKtuWMFfq19aNrann6QWSlfc8ZePbYnizc34 gRrXnO/8HRbP+KYXXU0M3LtQ4x1VV69ePYEGNIbkLrHkwN3ygwd9Lj0U+7RPHfO8+boVfU64+pW+ Xr6H4M+FaPh1Jx7pcthf7izM9ZzmCdnQbL6JBMXjlJud3mJl6uzR+lq11837AC05SB46a+QbwoTU n6tgyJ9x/9dL69tFX+vjh28jIzZvcXdtJmdhJRdkZ0Ypcxd+agd7J4Vd8icuXpKAnWEzzsRH0Zd3 0aYP8Sd+L+V1vHcVAeSB4DVZ7Icnx8d/K5hgbGdsboOCV0AhBVJFi7VNUAVJAMiCu8UWgtVvWKJv Ttcx/0ZOUOViA4h7E4MUBVh7y0B99JN9jFF8SIaD+FZum+Rl/pF5tkczMYh5Dfdsd5CC8nZ+bZcl WkhaMUiER6F6g1QDXlh99FSGGvRJaHKCcPJPmbA05SRCeKJ5c0gw/6Z8Nnh6i/J3fcgI+vdqIhhg BZiEkzc50Sd5wgd4NxglJciI6kc3ihhSfLiInbhoYadyJP+yeZPIbP7lhKFEbPhHf67FiU0iRua2 R/9lf+OnX6YYhftGYo0kXwfoiNoicdIHariYi72mbu1Ei4cIQ+pHjNLzVQu4ig4HQ+5HjP8HiFw4 i6FoJ9DSJ68Ii54oiqqYjDi0jAThjc4Hjhh3OZTliz3HRNkSGMHoLa14ibGojqGCicxoDNslj8RX irlkj6eIjNr4SwpyDyC1YwPphoFXMNEYecdBNQiZiWWXjmnkK/mIdP1IXM+Xitm4kNN3JRjZjpA4 cjDHBsUFh/NXkbiEKxiJRltoi7e4djYTkCx5kQ5pe1Z3j1NGj/W4kueoOzgpSddBSW6RheIYPgp4 caanM5P/1pM7iYf2tEb2mJLfx45vB35xl4c3xydN5JH3xJHrOI4f2Hg/WI1K519VmSMuKXGfI3pA iSVrB5eeQmx1GGMceJY6iJem1WBrOIq7mJdMGTeSJ5L6AY9baY335j4aKWQ+5pc5aIyBqZdXM5fx RZDDs06SuXxwpI/IwpYG2ZkgqZiJOJnM8pmFlJmaSYmqVZl02Ytvx3cTmZijaYkfuJSlCTLJo2Gq KZo2GZYtKZTSxnS8uZr51JrIE5wQt5fEGRpByGtMiXq9+ZuT6BPF6JlXGZtoWZy4SHjhmHDjyBBb R5yCyZXSSZO0yC+6OJ62eXfb2ZCvuYeVuJ6lyTbHqZLhmKWCEiib1YgugAlcjAWZ+hmaZ5la8vmc wweT3qmdvAlykfmfK0eeNjefxjmhfSeTO2igFZpyasmXyjSDYKmhfcSh26Z9AmqieYmBIRpjKfqU s1l5qollKrqiAlWUpyGj2mWfiOOUUfGJNypBPspVtNZUQwqkbjKitGlBHelORWpLTCpRXKNUTrqZ UqobdUGlVwqECYmlVFoAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0182_image223.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYEtgYuQEsT5EMTIAGcxsjAwMTAwyYFlWIOZkgrGYGBmhLEam//// g1l6jBJQMW64Oh6mBKYGNiEgS42Nn0GK4T9IMYMAkH8AyNoOxA5sDAziQPXcUDU8DL6JJRkhlQWp DAwJYLt/Myn8h7hwAshSBhYmBoGQzNzUYgW/1HKFoPzcxDyGFavel28EYgWDj+WlymkvWYDqdIGq OYC0EdcXhv2sIK2mlRA+A9NNJggfYn7DP5j5jCSZz8gAoj/A7VnAeJwFZEJwJSeUH8HADGQ5pgSn otsECkSQTcGVuUn5OQwMRfJcV048EcbpE4hNjHCb1jKDjNiSwgUNNy5w2IIDCBpqQmC1ULsaGJmY mIIri0tScxlegsxlAOpQZOgCawART54JM6D7ihmsHwA8mczrIgIAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0182_image224.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXQAiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQBT ABgAgwAAAAAAAAsJCgsKCgYFBQUEBAMDAwgHBwwKCwoICQkHCAcGBwcGBgkICAECAwECAwT/EMhJ q704681l+F0ojmQVlGiqTuAKCF8wuPR1bsQGF5NABIYDQmCoXXxAIdGkOdwyiYBCAlsgXoYAw1ip XolaJib6xDACAkmhDGtwKWtKW2wZnMu25+fKSr89AXwefh4ZDAgtFAk/DFELE2ePLIIaCjMUA1Nm AZIeVzEZB2mJEgwEaQdZCRMDWZ0jDJcAdhqtnCQJmqQERVR7mFk5JbGzWxu2wh20gBMLaD0ByazB KI3GHMghPzEtMNcATpoWWQcliJQc5ByiFC3OhIjPiF2kIQwC3xXzcvUWuSY3slBw1guGhX4biC2z YBBgrXzxmElo0CBAOQAVCb24xQJhKVkLXylk5PeqQhSNGD/M+LEqQaYADcqdMbDqBS9KeCpYqpDJ wsyaPgygm5DlAyFunAassQJAgRQJBgQgULAmCM6cKKJOrSrkTwqsXsOKACu2bAayZtO2U8sWA9q2 YUHBnRABADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0182_image225.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhywDtAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAADK AOsAgAAAAP///wL/jI+py+0Po5y02ouz3rz7D4biSJbmiabqyrbuC8fyTNf2jef6zvf+DwwKh8Si 8YhMKpfMpvMJjUqn1Kr1is1qt9yu9wsOi8fksvmMTqvX7Lb7DY/L5/S6/Y7P6/f8vv8PGCg4SFho eIiYqLjI2Oj4CBkpOUlZaXmJmam5ydnp+QkaKjpKWmp6ipqqusra6voKGys7S1tre4ubq7vL2+v7 CxwsPExcbHyMnKy8zNzs/AwdLT1NXW19jZ2tvc3d7f0NHi4+Tl5ufo6err7O3u7+Dh8vP09fb3+P n6+/z9/v/w8woMCBBAsaPIgwocKFDBs6fAgxosSJFCtavIgxo8aNIhw7evwIMqTIkSRLmjyJMqXK lSxbunwJM6bMmTRr2rxJrAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0183.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•General Form of the Holographic Entanglement Entropy

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0183_image226.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6WWTWgTQRTHZ2a33Y98miatFpEU8YtGqxVRRCF+VEW0SKqCIGjVlBUaW9pIKRYa D4J4UtCLiHjQg4IExUM9FOylp/aoPQhelBitogWNtUXjzrzZyUytUDWwML+Z995/3ps3m50YH72J 2C9Xj2xk0dG1VkwH2pCOkI6WstUq97GINyIY8xEm5XKZjdbhxXzOJ+z8BNm5+og7WlkdQvWoTI1R 2OVn7mjYfZL1CA27Yj5u40cH27PO4f7uNEKHiOnOzhDwoD93Q2gththRcpkc0+ioxh3d8nlzWwPe 3IGgNzcY9eauxbyYphIT85hjRksIbMeMFRFv7mvMmxuvU/cwU9XIY9+2yhFaq1mS+wmRr2IWn6Dw 4bOZdG+8Nd0XT3Vl2s+hobuf+kbcJ75+qm9zuKMHYhK2p2Y7YU4voa7r+oFTVqiWcjPnpHGR8Qax /jqkrp9fJK8nzFcGrFucX2hUMe7+bD6TZPn0OemeNN9FkVxfTL0SDnBU72JR1gger2YqgjfqlFcL 7tWYqgNViZf/rSoaO6HPojo5Y48f4npc8FFuEpy35H0FsVOn8vKwzI5W65PzcrSbthzf0ZZZkNfc PPBfni7kofE8tlQfZad8Rux7t0/lh6bMQdxRq3JDSGZHu2DJnNV9jFs578d5Q17fpy1nGexw5nYt /q/zSVnPlX2mrPthmZPGCWXfCXN3FeVdom9Go5Q7OZfwPcYHHK8vpxap9qcDlNuF/cmAbB/VP7K8 9woe1mX9En7A+jgl4icR5TZnnttMaF3a+jOnujrd2x+zJ79MRRZ43s3mI3afvnGdOxbwNOdtBnDJ 8exfsj5/K+yBi8IeuODV2fxRJ8fPWcBe/OMGcEnYN8Xk+DkLuCjsgQvinFqich1T5pGIqgdc0QOu 6A0GVT3gih5wQfTJJdY3jUL/RkDWT5iP2blt55zRp1l+M5xjmsp5vj7L+R4G/i7837D79174q5zn 65PCH/gdZ1Mbicn12KkDe/WIEOCSsH9aI9djpw5cFPbABdGXmxhPCH7H6rNWxBsIqvrAFX3gin7W r+pn/ap+VumvqP66StYrklUE6j/P+125J5Mxe+DP9+T393vSknWC+Hutyk9CMjta0IY+mec9Nve+ flj4fU2Yq1jcbsfm3yY2+35hf18ItCL8K4LlnMOEkLb+3mw6g3poXOR6NKArzEFzn/CXCJqbs8b8 fwFu2/K3hgkAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0183_image227.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQAF4AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAA6 AXEAgwAAAAAAAAcGBgoICQYFBQUEBAMDAwsKCgwKCwkHCAsJCgcGBwkICAgHBwECAwECAwT/EMhJ q7046827/2AVjGRonmiqrmS7vnAsz1hA33hO23rv/yoecEj0CYvIpDE5ujSVuqfoaKFCr9iUFbgF dLOsmuYLLmekSPJETSGXxFh2e4wWjc34jxzH3q/hX358Jl08gXd5iU51RWqCf3Zehi5eV4+Qc5IS LYaIipacR51QbmeUkZClSm6nmameTp9gopublzKHG6q2b1WMP3K7kr1TubKkkaPIcGe6x6jNsDC3 z9PJrWnM0dKfwRzU2tVEtHmF3+fV3s644kzYZebr3Irq81rtjZjlsfL99B17wFXBN04fni19PAgE BlAhO4JcDJpBiK5it4YYrUFkKHEWP1jG/y5aDBlmYw8qCwcNlEYyUUJXKzWa5NOLmMeYizjZm6gr 1E5C056knFkQZ8lGb1oGebiUF1F8FGMMBSHqVy2mL1KSeyouqsyI0IwezUq2I9d/Yu8N8frx61i1 Z6G2fXsSKFa6KB6FshlXZdimHENMveoWcN9jbPH6pQOzbGHDQfdKnky5suXLmDF3RGh57onJfxc1 XtM5bd6xfkAfjuIZ7hK7Uu/CrtR6dTbTn9fWNns6thahnG1nSQy57mjcuWMLCDDArlUbgzeiDKQs 7eDo397tTm6NQAEDN6AL11N7VLzQvWVFvz4B/A6rMw4IEL1CAILZw44LIU778UGA9ZQ1QP9zM1SH wgEFBGBAAhYgqEA4HCAwwALuATCAAQfUkBRhtG3lCn/sIeaQRWEw8CAuTfAVAoMIEBAAgxMgYACB 211AgItHXHhfG1UpMwkvaHi4mWz7kLiNY8cwMIECClIgAAFHUkVFAfMNSZiBKPUHIpH/GQmha+1I cUAASn4JYAUMBJBhf6js10qP+7UWonoZ+VNcOgtMkEAAJ5Im3mdUMAljgPhZ2RObyN1kp5nctTMA nxO4OAWHglGBQADzpZaedejAh6hLXjJa6DMENMAjTOAwkmJO2Jm2izB0/nQcmM8MAOWp+nC216ST nmccbkKiV2SUxN75yQG34sqmp4f2Kir/lyHBKlKxNQrWjnwTDFCABMvtGKyUVdzKlhQqjkopJtLG KoYjO4gjIycw7nmim592cGkAO0ogqC1/ketbefz6+swhL3GZB44tnDhmnyUwq+Epj64JZB1/zlke dAKno2GoxhIkQJU+EAByQwZ2fG6dcjVqMD4y0piDjlTVYvGziYpo7WJEHTCjDgoUIHFGf/onbM0D x5xDq0ogMDINAvycXZwrj0cQ0lJ3WfVTVF+tqNYmZc21JV/P5HXY7mhH9nA+na322my37fbbcMct 99x012333XjnrffefPft99+ABy744IQXbvjhiCcu9tiKNw6W47dBLmq5krNWObUlX340/60432y0 Yp/+qPlrKv9qLrWlG5T56AVyrqzQshL9OU46sb556rLHOGGFQ9M8KwUSUkhetba3jnvuEtwIn17D b6C8IBkXf/vpvzdLPG/Xa9J879L/O/tP1MWOPfevo3xy98ZT3/BOnmo6okLMZ48+9eyvzlv775vP 2Pfjz+/6ohxi18bE5z49XII//kPS9qChq7SRBoDkO58pRsU4rj2HGv7iV/UwVz5gCVB8/eMV/+o1 OKW8zzwbNNO3hMWsgulvfyMczAEawDsL4q9SUEMV7uiVLgDcK1/Vgh4Ifui5FH7AAA5by4ZOgCAF wegqPYxGDnPFql1RB2OLcmCipgOa1P/ULn8hNCA8eEQNFrloUBr8ohC1h6gsfSlocchiLCqIwLxU 0E7UKBMAmOQe+0mQH1OsxArrBUewzYMidJRfdoajyAF+0RdeXCKQfmfCyAHMdwr845JIIAAmjcBU y+FTExoQAJ9lC4lNA8ABEmAABBTgVhfClNMWWKA8sWBX/6tkPjiISbzs4V0TKIAtAdBKSTSHSdva o5rGtC0kMkdbyjwAM48HSS1W4FF9Oo0faXm/MfKykanzw57KNIL7DMBUbHwCwoCTr3XeImulKsk2 wUhJb+5Gl0Tyw6W2dU4DzKcBBCKX6F6XRBCawFb/Gkol7wjBhT7OiBNYAHMIgABSKqD/QgK1hdOC pCaTFcOaEkDWQ6bi0GpmJjOMKulHT6qiOl4AmVAakwGGmVEAuChPMtJg8gKA0xrSk4QewJYEoAkX kqKOoew76kPDGEzmcMupOn3Co0iATjRM9ZObAqq9nEmCJxKCXpns5taqh0/vje9GFHhUttyUojcw AIm2JEEyJfBWngbBbB9wJ6QA1cFwagep31wpOCnovGQl8Kcc2yXyIOrLw7aLfnaM4f/AVSzAXu6d H2jighLLqaxWQLNe3Y5LHQvZ7JnxRRCU02RPG9qhjZa0I+TsBPTIR4OeSyBfoG2TnvVa2CI2tRNE HYRwCz/hEtK3sDNuDYbpJ616hrgAsWFufj7IWOQqt5HY5NUBI3jd7D7Quce1rkevS4F46pB/WuGA eQMIQMtWDoMgQCgDi6jJF2bLsMtqr3hBZ1CRMjB+TP2Jf3NF3QDvd7ByEKqFkjnI4Zp1AgqGZoNJ 6N7LetYC72oBGgNGS6NimKsjYBAPA3tgaspKrwxra4fTF6lQzEvFKiwxf4EbnsGSl5v1lTGNbxxW 8Jb2txW2XaqWamAc07e6OrZt4oLcPSaf7RYRAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0183_image228.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh8QBhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAADs AF0AgQAAAJkAM/8AAAECAwL/hI+py+0Pozyh2ouz3nr6J4TiSJbmaX7qyrauUr3yzAr0jed6rPe9 7QsKh4gA8dgKIZdMFq8JdQCj1CrFaM0ClNru8emlTsPkHLjcHKPXTiw7/Y6rznKiuo6H5Zf3fZ7u 59MXGOdGKDR4iAaomJPY6MUIScM1WSZpOfOYGYXJ6VL5mWUoirNZSuSJWrNKRdqqCdukKvtxWktD iytxu+ui6xvRGzz3SrwyfDxhrKyS3OwADM3wPL3AbD1RnW0gzZ0Q+h3hLX6wbU1ebq4Okc5+Do3N DgF/7D5fTyw/T8+fcM8v3y6AAf1122dQSkKC/gS2YtjQISqIDfkhTCiMHUWD4BI/beRY7iNIcSJH ZitpEt1FjB46NlrJUttJmDF5qaxpyqUflDF17uHZUxnQoPZo4mxp76ggfUaVyvTV1KnNgVGlZsQ1 VKnPRVWtXoWV1Wm4Ul29fp1Y1my/VWnVgmDb1q1CsnHlUqNrF5GosG63Vqmbt4FfKHzlDp4V2I6l wnYPI2HcGBLkvI6FTI6sCHDisz81b35LyPNn0J1H8wl0eXPlFmBSqy7Ew/VrNhlMI+Gyus0F27dH vOnAe0iJNRyCI0pBprhxQcgj1V5+nAR0a8OnT/NtnfrY7Me2cyeWu0UBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0183_image229.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjA4wMPAxMAJYl0MYAQxmA8D2UwMMmBZViDmZIKxmBgZoSxGpv///4NZ eowSUDFuuDoeJgamAzxCQJYaGz+DFMN/kGIGAZBtQNYxIG7gYWA4BjSMG6qGh8E3sSQjpLIglYEh AGz3b6aGfxAXTgBZysDCxCAQkpmbWqzgl1quEJSfm5jHsGPJ+/KDQKxg8LH8jEjaLhagOl2gaqDh DEZcCYxvWLmArJTMstSi9NS85FQOqPgMVpCRCpWcUH4BMzOQlZNYDlchwwxWkQhTYcUAMtuxKDWR C+piLrCvwE6DuleIgQPh3gZGJiam4MriktRcBgaQ2xiAOhQZusAaQDoFvggxQNzLCKY/AGWYwfoB 6Oe7vJwBAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0183_image230.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhmwAZAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQCR ABEAgwAAAFEKH0YKG1oJIX8HK2EJI3QIKG8IJ3oHKmgIJZUDMY0FL5kAM4QGLZEEMIgGLgT/EMhJ q714BqKy/9LWAcsCnmiaFkyhpgrDvLAslXSugw1D7B8b0CMcGocCh2J0rBSblCd0ejIcHowBVSKd drfgigNgYCA0CEXSBEjEHgGJoMdYuCzCucw+kDEefTI/WFkWAw4MCTYiZTIPEoRabn9xAWlrEgQM CgkUk3AAIgCaCloSBYgLcRKfqwAFP31jEjGJCWMsAQEMs4gBfUxRMwC+wAACMRMODRNqFgEKzAc2 taELszcCrwy6vAC1CbejWdM2ubtjtQcAshKHcQiz596ZqzKuMto3fkLXXMNOhvkDIAQBAwP/tCX4 YUGTvWFCWDAcsI4EP4gM9BGE+Mgiv38T//qNMDBiwcWQF8+ARIkhgUmAwjy9lOPtAIdHBDpZSLay CCIJzFbGbAZxRJciQo7ClHCgIoBp2J7cqxDAwYJAF4RUvVqkh0sBmgYEG7pRaJkCB3RudCW0DYMD fRCuDchyrjC2xDQKmFp2gklmyCT87EuXGMYJskzsioYBkZZdh2k+CLoPsNGlDZbItWhZaD8GnTkf 60CAjV/QbRX5YXgPMt6+rfka1olFbYVpJlh4e9LDFCt+rGEi0DhBtSDPw4wrYGjcByGAF/1gIxOD siIHAa75/mfjenYHvhUVX1qBpAJoBCAXKdCRAknUG+nFl8FJwvugHz9S9+G+epj/ALZUCx99ARZo 4BbhTJDEgQw2uIMCmyFgm4MUVohBAS/Z8V8EADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0183_image231.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC3WTPYgTQRTH38zmY3cvxyVBzCF6jI1cYwiS6iolcGChhZezO2G9TMxAdjeXnRgD IilstDisxbMQawurwyqCiBbWgpzdaXWgNtcIxnmzMyEHujDkvTe/9/4vb2Y+f3r/FPQ3qUxc8NAq XSFoOCUKQOGs3s2q5VFrUUKMReh0OtVWlSyb2MKMK9CJO6mUlXUhtwRnYIowFFFNWR/VGlcAHrkq xzAFuBbITnPU4yiD2r/p+E/a4RMUhQyFYlOEPGHX+ZDdiMMggv2XP4Zv1WK1X8N3p9uNjOIuKtpX v5f8c+7BEnZzl3dHVaWQxmo+7u4MgkgKGUixYOK7ubyy+jwZdCWjronWcyjOuGf8+46jrMZ6c2CJ VUcT61bzMuTQZ0x2eFr7a/aohLSQbChkh7km+rykM6WldgvYwXYc9oI+n1FrBU3FnvHf+I7OinuW AB+JO7Jg/G4GexGR5OrfSBFZbiWT6ll/1cEDE4mtfEyw8lXJZpWfkfmMPeeBP9/xnvNaz2x7ION2 u8osdSud2cAz/oGeGdu8GfsmUtcziiOcUZq1RWhFZ0W+8ffLyLR4j0ctz8TuFfGEo1gym7VSnJ/O FukuItGKeWKJ5cWTxLGeXxC1ZsQL/6Tywzwqt0Uk5Ky7Wl4zwvpruXR21j/K6v3E1vhCs3pSvB9y q1wH7K3ZEck/7jfF+70xCm/HXYDNU/63D4fl/9xvouv8VFn2nOqAJV51fPOafP3i9LOBVKusWaM1 JpTSjVEieQgNrIsv5jw8ThPUd/i9DPYtpVoEHL3zF1Dg7CU4BAAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0183_image232.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHwFpAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQAAwAS AWEAgwAAAHAKC4IKCp8JCpIJCrYICasICdIHB8AICMoHCNsGB/gDA+oFBfEEBP8AAOIGBgT/EMhJ gTirSsa0/2AYcmJVNE7TdCNbvvCVgTJs33aN71Tt/MAgYPHzkHjIlm3gIAAwrs8xuSM6Qlaq1pbd cosOhKQIQFwB5GTg7N0+2Lh1u5T+1Oc3ueiOt1/ZaWd8OAZwfTuDL4WHfnuGjCKLjpAgd3yJMAFE lIiPL5qejJhjoZwUoHSlkJaPRQcpAhYYEgIoZhoMQgAGRA+xAgkLASs1rwsDTylOEzq1YY8EQQ41 xQ4LTjW5QBK8Dr4eAQo/DMjV1xMEKIWe6Q7rEwO5DcgT3d8WtnDmywDxKfTa+LR7x63Xr2DOElCw 92uWMX4DWWn4UaBfiiFkGvzylIaJAAEX/60YMNDASkUmDSpGa0Chi0YLochkMQlgJUZBbDyCZKkB hYBoGWjatLBAAYACfAQUPUomWsU39HReBPASZEuKNac6BQCVlAelRpGekcoSCDJxYix+DIl1KFim hi4BwjnGaCU2Acn8CDAh0NwKeu3e7UvXK5rCAPJ6YsBT799ksQ5reBWZjDgJTFgortvI8GWLLAZR NrxZMkyepf1KGG2a8MTHGR0wUOhBNWA4tlsbRjF7sGHbjl2XMKDNsOlNxicgNw38EW/aFJoLH7Q8 +O3prR5Xj5sd+wRxDqBHnxtZuPHcxsGLH+/9N+If5b+uiPa+/uv2zKdpUH/dPX727sXXmv9jAkqX nG7nIVbTK7Xh5YBRmiSXm0ToMNggftalkQuEM1SAgn+7NQGTcyKCdEYu9Dy4gYoRVsidcChyhqAE KGBDxoYAtEjGGnbhqONjNY7YA3z95TdGLMN4QIQAD+wSxAESPoagXkjyVIGJfBkJ4pJNrvMDlK+t pZ9tSHXAxFQTlGnRRdF0gNQyXjoApn5JAmham0wtw6UJsq3JUpxzOlCROHA+maAEap7ZmDSEgSEN GCS9pEEhDESGABF2AbGoo5zOBakKApLSqRCPFkGppZh+UIhGjNHXqQSXLqDUAaHGOmtkA/BGD6yp jhFpfKRu04+u9chW6wKyLkArryqSYkb/AwZQcGmzwZJhq7KhmqLtttx2661v34Yr7rjklguuueim q+66W4zC7rvwxmuuLvLWa++9+Oar77789uvvvwAHLPDABBds8MEIJ6zwwgw37PDDEEcs8cQUV2zx xRjbqwPDJ6QQbcfQZhxxFzg8Kuqj0UrwhrttMOEEBi4/0aHICesxYwxEMqNfMhVR8ACYaqgywRs+ C00zwZLcDMMlLUUBgGBJJB1CHSwfHTAqB97A9ASvZCkB1DxgPYl5Vsvrzzy0OGQNPxPkJdkrku5i UGfRDQndSB/kauxhOF3hdj/y0OPqD4MbXba4W3UlFJp2YoUSZtPsRHdfFTDQIdAVpBNL/wKL4pe4 A7tSbfjh4n6W2aH3oV5a6nUv5M5qUsxwKeppmN5nlKTHa+DNEyo4+RgaLGAm23aaZ92AUiqde7m7 D9I7KdkWL8HMEiQwTVoNFgiblOhVvby3MaKRafLGP+Yj9d+9jg7YOcqJPS4szrB7+M3q5v333OL5 JuoV7GkboB8AyTl2ETefCQMEXlIWjUAHF5bsSX8iGlGWsLQBp+EvXHojx8n49ohTVesM02JfD8Dz oOgRRwTTAhoBiAAlbDmpUpgh1gY5WMEL2vCGOMyhDnfIwx768IdADKIQh0jEIhrxiEhMohKXyMQm OvGJUIyiFKdIxSr2YQpKSBcWL7hFJP90cWPeMpkULGgEMoqri99D4w66SLJvrcEBWbIZI+SIBzrO wY4Kw+MObHa/Q6RBaocA5BwE2QZCJsyQhCDfHIy2o+UcQmx1dOQdJZlHSu5xO5QQ2o3o1Yx8XGkW +0iMLhhigWAMgwWkxMczRAkEaqhtgFyzRsrgJ6yz7YoCGSyPLdOWAWMgA27YQAgKoBOOcZTDlCso iDfikw16ZeUHD3AVlFZGgFm4zRWw6AMm0HMTGm2kf0VYXOcgtxYH/mAkLCGLN2FimJm0hXGvIIBY OMKGz92yJi/hnATseZOTpEAlFzHL08KwwJ9Y4yboVIvklHO8UyynAYIRRhf84k8rLTL/JooMjG/m x6jDeC01YGsebgTRpAt9bSy3a5vsZmC70HCvMAtljHs+2tH/UMB6adnLLgLFvz5ysFQ1bVx3qCKb 9YBISzMSXU+KWj7+YWQM6Ovpi4p0PJEupDj2K0VDT3GRAmCgSQdIWVUV2S6Mki09PzDqWBOkvfGE ij/Ic2ohChCN9wn1rDlralyPSoZaMIA+UYreVikgDuIEIJ4dWmvWtLDNjMKhmkPlKIeScz4KQJZ2 5FMAsuxqJ/qBrbKiTNH49LqjZn0IqaKcLIAwsZIOCFAwilUeD1TxxiztaTpVSp1t9gRA3fSWTjzx n30mkACvgeCBfdqf636gwKy4KYLP/zvMoKAbOSLVobfCue1SU/aGWcpkGk3iJhVUYbJTNeoPv7qN yYRg3jL0SlPS6hUa0vtCE61XWD9dwCxdB8NhyeaezMJcBlO0jQ8e5lmzXJUAWgXfCYRQvVdo76TY kDT2GsvAUewGEKKKLp9aMV54k0Cd3uXhD79rAdhLwH7XVWITr8sf/9Udfl1M4xrb+MY4zrGOd8zj Hvv4x0AOspCH/C0wLszI5lJjCZQsAiQzrI02OCwRsPUHoFYZqJyAcpLNuGQui0DLCOPj6Fz3jQAU ADlvlNYfcgrCMSOhtOLCox4nMOeSudlfFb7zGizKzuTIgXumIAMiOUHIQTupDS3Ol//YfGq9FaPB eCbdVhEgyS1K58iSdMZ0Jxp2zSvArTypXJFxUxeNSF8JmaicmypvIaxW+82Z6MiFijPg6jMUM8ah zEszt3FrDep6FmUAQkmpKbdlOkvYKiPcwChqEZ6o86yvgfViEUoShU6lKsMdLC1UJBbU+QQo/czK OCfKhm8f9DhpWLBFGcCXZxdBTRNowKj/Fd3VyfZO9LwLTXVRP8xOWxyVGa5MkapYDY0TPUwAkzxX xO8zdJcbnKX3S6d9WnDle3J8eA5pfbdxshGn4NurwMeHG+8zwHaoQ/Eyv6KbVwq8AsDSY53MW37S 8PhbaVbFx19Bjh+/AnavDgZdAbzRuzPzvAEB1TRYvePHVacNoKT3biwFQLtPCxkoETlT7Gl5ftSt k1zE3oAaaNMAFAXMG2DCFQ52uWHsXUC9tjSguccNhYbcEhUZYinLGbQbS6MQBAV4/4HexRSL3YIX 3Uw6DOExkng+EGq5X6KsN6aucnt5sMDCerAGCKDZFABNjBCWC+M0P19Q7ZOFQ6CVhftbAXHIuymo d6GCGYx5U114G+adfQOccPk7PF0DmqdXIdjGZCKPzWG1MP5FIYYARyv/zXfu15Sf7wVpH8xyxJNX BAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0187.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

In our case of = ; we explicitly obtain

<= /p:recolorinfo>

This result= may be comparable to the direct computation

in free N= =3D4 SYM:

Indeed, the= y have the same functional form.

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0187_image233.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC52VW0gUURiAz2Wcm6vuurNaITFFSEGul1hBIlifNDSV1ifpxZg1A1clpWUhwnpJ AkN8kn0JeigRygIfKwSpCMrH9FlKo5csoqTCbc61OZtBOTDwf//t/POf/5xZff08D+iTrE5awCJS JAmJgJ9hADRQQ60l/mshISEIuQRRoVCgUhzu47pS6RdCSStZXelLtXoFOAAKxBmEfV7ypXuEqgHY NP0Y7hMCZ/rHB3tzo2kAXOQbwHfEIsij+W8dZLkddBfd0YgU9aW4yXQP0BWb6WbQfVvEu0o85PF5 34P51uAvtpq7Bv/ktlnYV8p0QiK6yyFRQ3uZqGExInReVOi2qpiu21jjtXYbnil0n8uE7mqE9PkH mthhlU5DWi8C4d6LmfSY25XOumdHMv3DYG7+Y/aR/7oNn7KP9w8ss7oRIN/aZC8YcxESGs9ZnLdt fxtBQ6IxLTxmbeqRELxmQerBeN10Swg3JULcnqRj4YqHr9SkGXSlYwnBbWHCzZJvVxCul/yinHCj 5AuUj3J20GEln4OGab4Tkl8p+Rz0ppzVKbhTyafjOStob9E+aIxZp93C3jqN6RRtyY43m4sVwXUi +suwymnF3mxeM1T7QhF36EGewrWxIA/Ck1UqrzpB1uCtymDfpnCHofrnijimB/vyewLhf04g6wsG Yo5i9LuH+DpPdED70in5IN2vLjl3eVpHv7Rv6Kq/VhL0b9FuOMH8DroUC/o7aDqq+ntKfgc91FX/ FS3or+MkIJz6Y17gHueFncg+1APJiWz1UvxEDuB6mrPV2+UOQGSlVC5zfmQIgPkq+/Txd9F/3IEF o6eMpFj1BD81CddJzmPCpzjP4Lf0BH7jvINUntQYb3M2uf2rjL8eIrwp41We1Bi/l/GMNzxxI2Rp vW2e2JFzCut4Uqlfxx6vf5fJVfqmH7GX/t634hO9bq7QSRuV6/SVBrlFm+V2m/+1bPpnoxcJYLVU 0lx8DycgQiiVGxtPZ8AyWRf4EYfATRpAfpbtm1FQvIeYxv8C2zpsFKAHAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0187_image234.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhRQGBAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABQA7 AXcAgwAAAAAAAAsJCgcGBwkICAYFBQwKCwgHBwoICQsKCgMDAwcGBgkHCAUEBAQDAwECAwT/EMhJ q7046827/2AojmRpSkF6rmzrvnAsz/QU2HWu73zv/54bcEgsGo9FIXLJbNYEA4FzA5VmVNOsdush FAxcjKFA2CjDaFHqzFmnN4fCG1M4aNgn90c/z+M6Snh9CHJ9FwUIVy6BQX+GK4JmjxMJCgmTFZWX NnwwkXeYfiGfaAtlKwkLIQmFGwubGgSqPaQYtWgEa6cTC2tsgr4Bs46GAgpXwcEVCApWCQMpURkM iRSsAQp2EsbVGs0juSm7Er2dAMC+wyihFNANFggB3esYBwENYBS3WwfjFglYJuSiwGyCAQXBrFjA Z62aPW0AKs27QACiCHfw5FX4ZI+hPnYU/w4gnIhA3TkNDDR+DKUgHzILSgAqPMAAjIAC9y6wWqbv jIAAsC4cLCFS5YSSG1EapQdSQjNhFQbMExIJZ9KTjwS8M0NqQSsADKwFpEDtztYJBUxaKKAwxFOT UldW/cU01M4GQPW5VGbBQICvfA1VbPPpp7+NZyl4vBCvLYBcQS0wONzhbl4be30J/dvT3CQCZeJB vAkiHuVQcblOC+B44+GdQnNNBPAzbAYo4EIHGP2Vg+mmGQpsQpiv7AdokUEuaA3zk9XbxyTPpr1G gT+/vSsIUNtBuNMAxadnQA4cQ/THAU41SH7n/JZk8LG4f2mrK/PF/6Cl31hrvofzuajH3v8V/pUH AAIQ+XVMAolx8NMAaOxDDH0XjLWMRZRkZ4E981kIkwgIGoRNRA1SEQCENPwSyA0ShnDAPPYggIBt HsQYIQj7eMgJBgJgOIFxGviloiQuwijPjCDYOIOHVKHQIgjz/VQAW1CCR0FLTjyJlWp0WJkJjbQp 5pJZG2m4EpTa/UXlB8RdOaYJLF6FlZYewEYBTgXextlRZiYxCiCfpORYAmAy0IqdGvw0z08+ylln dniCICVBfaqxJR90fjAGigTtpilONDIjnp84cgDQZf/sp1gyuwBZgQLL0ZbNMqwR6cGmGTUqBqhH KTCqdngeYIAxctFzRqYclONhA7+GFB//spXpJ00jpd4RWAVe3QkfLPiRtUZqd3LnqCuaVcBsjc96 8KBNCA2jDCNnGmjCQQkBYikqtebw04DxzoEXBYY5Euc5TW4pL1E10YZTiRXeuwIz/LZwbhuTpDBm vseehMXGB58A5qn2/tkCM8yxoFWzE77RC6fngKHHu3Hq2DGcDH+4DF7JbAKtTuKu8Moek1Ry4sxZ ntYvevCdtTMXSxMhdKUsPCuzgcRSDPAXoB0IZl3yNu00QlATvUOsVi8EhnfjGuh1EQjpKvYoUmcQ In90wQOhAQyvPYXeOviVJt9wSi344IR7JkKPH44VSQNSIGlzhYVHLnnkihA2+eWE/9Rc/8OQxD0z oQDzl/Jjs6CddnmA15BLWw9u/vYMoP/YW0B4NAaAXwYgdTTqffTi6zYFYPlR6q9LgLMvh3EMMFTU pRAZ8UhAL0MzBjCAVzZvaiy24SfglPPmeAzQykGMP36w9M2hPyfR8A7Bfcgdqy9wiuW+LT8y0N4P hP67t9D+9uwAXCoe5YGfAS0GP9ER9DJ2hGdEo2Ql4F8MbiG4ZVAPAQPIkwRctYxyyAplo/Ofhoj3 sqntgF6+gKDDMLEPkFFgIL2SwJRM2K1tNMA6CpEItWLwm9MRjSY2WZj/miIhJlEiX07KAKKO4ikL 7At+MCBP/4j2MRMeUIKeCEJXZheo2f8wKjg9m2IeOsS14tmgRAg4ni8SQICRpEQV13pEEQujqh1h oIYNqJkEIFO2F3yRE+97XR33GJ8GFKB8hloKEbW4GsfIbIkHSk9RTLeNAGyNczBQkhk7ULUJ3MQA WXNc8DzpvK4xskuuk44FekEAMMQDVbfbEyhigJBNfoBsZgOAd6ChkJ/oERO4tBaF7JhL0f1oaD2h QhhJAJCw2fJAusLg7d7xE3Xkwm2YmBaXIJdKa4zwDC4kJgakCYMAPZMKbisfkjQJALyo8DOX5GZ9 uvmj6dQymfichtFKgJOIPTN223hh6S5xTwm8smOkIUxwvCTOCdQQALzUx+ygtiYXKOj/nEosVCts h7uDSuAay8SE8ISJAUEZ05s8aiJ1FqVSoWiwBPEYwDMwuhBWVXIWCQyAAzSCAAGkREbYnEQ/NnCq AQFkHEJ6EwedlQhWsCySKhxMFOWxz016LxibEJ9BFMA4Bp3oEikBF9VemgwMZMtJ9Wtn9l6IlwYc Ji0bKF8mB0nTuo7AFCeQyRNgaQFZ2PWvUwCIP31jCRpMDAOaAKximUCIh30DBifbACIWS1kkxAEV IRWBAYMT1Mp6NgdeWGsYxlDVz5qWBlXoQ2pPy9rWuva1sI2tbGdL29ra9ra4za1ud8vb3vr2t8AN rnCHS9ziGve4yP1tICGHxT4sl27J/01RCDHZ3DT8b5YGi64MMlVd565QuxMcQXfnQKfxtjYcdFUW A9OXApOY1wfo9Yd6TxcM94IXBBih1VQ00JE3vRcI+e3URDhyD//eN0kj6aAYwaLI/wKhKCSx72oG fGAoVTMq3SjYIerm4B68BcPF2vBVOvxZywTFS3EUEWDSWjwT6wWQOsJOZ6xY4cfohjeloWtdQ6nS hHqghzUWAdraBBYQTkCKgB2yl5aqASQHGU2EFBCOXvpMAKlqPVN+MogSNCIGSQqZgJ1bLBf0SyeC Wcs1MpKM4pkBdtr1RUx1HLqMjGanpGlK73wVQwEw0irfuaIdILJTRFtnSEbqA5PiE/9NDT0iRMvy QM6sMa5o1VmD8MqgvzvnpDtVaQmMwZK9ovN952suI9sjPk9YmApvco/WCCkFX8ldBm/J4naaOl11 RihPFUnKRMRjIuqdxwxJnOuZKYBTIjEPst2znW0WO7i/7nVGuqEoXghjVDR+9m17oRC/qIXbIsKp L74gT20Dt6Ao8A+6z8FsBiAkb8SObgXPN6STJrECn05evM1NxHrn89745io9+W3aeV/pF+pGeEnx 4KEpEdx9mIu45+6KKoB8u+LMg4d/Gp4diXu8rL41uIGiXcnZkHylGJDqvx++21lJINkXcDkAYH6I 7GWb5bGtNskdLu2TD2AAYDCATPv/YrFH8BznOLr54fBS0aPb8C9tcfc9hMVepQeuaU5Hetn2rYXr ap0WtuV6rsV+hJya7+vWkFaeRcbaR5cR7Shcw9p3eFogvx3tQFRYTqL2WieTXbZV9JqGC+6ewaPd FmhU4xrY6EaopJiyfyTYc9FOV/QGw5CIxImo/+rmw3MySlgLjW1GWUm+tnbdnu9AMMWky0tEtJJl rmwzU1+aaN6NmhlHT6cVa07aczKdjQsLO90p23763lRgaotfW8/nM3gUthc9vgYACpaN1qqjAQGp bGM6U+lfQPGqunDzdMpTnx5p93aFBgJKm/qrrlECWvU0VwXg1aGHdfN1tQf7/xoBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0187_image235.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXQAjAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQBT ABgAgwAAAAsJPQsKNwwKMAYFXgsJQggHVQoISwkHUgcGWAcGWwoIRwkITgAAZgUEYAMDYwT/EMhJ q704681l+10ojmTVlGiqTuAKBF8juPR1bsQGO1NBNA/DIPCoXXxAIdGkMdwyhwZCUmgkBq9HQ2Gs VK/ZLROzaGUUjYLE8Xw1GF0KmwKDU9oUARpvMX+wLGpxHg2AHoIeZwNmEws/CmUJE2iSLIYaCDN5 UxiUd1gxGQZqjAAKBAEABloLEwJalSQKmgB6Gq9WJAucjARFEjCFeVo5JbO1XBu4xR22hBMJDalU DcyuxCiQyRzLIT8xLTDbqlIYWgYli5cc5xyjdzfRiIvSAIsVwcYF4xX3dKUWdpm4oYVCtF9V+vDZ cMyZhYQDb/Gj90wCAwYN0AHAOA1YLhYAXSfRckiB479YFqIgsvhhxo9WBwQgeIMOzYNWL3xdWjgh UwWZFmziDKDTXIyO4KwIYANmJqcHAQYgYBNkJ08SUKVSFTIoxdWuYDt8DUvWRtmzYtGqxTB2bddQ bidEAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0187_image236.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBggQVWBh4AQxDP0ZQQxmTiYgwSADlmQFYhAfwmJiZISyGJn+//8PZukx SkDFuOHqeJiAZooKAVlqbPwMUgz/QYoZBID8A0DWSiA+IMLAcJIZqAeqhofBN7EkI6SyIBWohoED KPqLCaIDBFiAWJcRYrYIkwOTIAeIJQxk5XLDxB4LwMTsRUBu/83U8A+iewIj2AwmBoGQzNzUYgW/ 1HKFoPzcxDyGHUvelx8EYgWDj+U3JdLuQuxhBNtvxLWAKVMEpFWvkhPKf8kLdDKDgblFKkxFJy9Y hTmMf5KHEawC4gKF/+S5gAns4w9wlygw9wqBjDCC2sPEOE0Yle+FIq/A/JQTVf4IFyq/AiqPHlKM JIYUxJ1MUHeeYf4lCDIhB2rPOsabYHf5wPn8YHk/c5h6LrA7EuHy7Fyo6m05kNUvYFJlA/G94XwH BhA/GCO8GckMb26wuV8YYxjZgay0otRUZ7cQqO8YmJXB5joWYUlfTCDbgitzk/JzGBimiHJt/vJR iMhQW8DkKwAy4noRjL+bG8TXhfOr2VHl37KA+LZFXNDcwwXOYeBExgBxmxDYbKjbGhiZmJiCK4tL UnMZ7oLcwQDUocjQBdYAyrQCX4QY0EOCGawfAH6F4HgoBAAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0187_image237.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIAE4AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQAW AS8AgwAAAAAAAAkICAMDAwkHCAwKCwsJCgYFBQsKCgUEBAgHBwoICQcGBgcGBwECAwECAwT/EMhJ q7046827/1cgfmIAnmiqZiU5rnAsz6op2RuO03zf6b/JzkcsGoOg4XHpU+aY0GjRqaFKr8mTFcvt hrTesGf7FZubL2FpR12zz9EWxT3H0IXwPM85JPf1cWV4VRVkgIeESm8AbYU3iFOMFouNdZKQmBwm f2pyk3NrmT2bjp1ppTehoqufnCSsS6SWr7C1doOPtLZNuJdju8CzQFnBe7iGqMW2w76/yjPMyLNM pz8jm27Z0lic283PK93EULLOjDY66LmHf97f7uDv35rJxmCDlZjt973xSHjuXO0JlU7NulKL9IXw JtAfvUkM69mTI6uiHU/z8tzpV0UbPGUb/w/m8JhClaJ16tRllNRw4IuQDiUIGDCAwIaZNSkU0CZA goEDIg4YAAnqpC+KafJNI8LmIywCAxAUSKAgA1SpVCcs0IYAwNaqABQEWBDMqCVKl5ixFBSJY0wA O216DTDUQlwJW+sqIDsBwQEJA9gMKPsJYdFUfVpgPOcUSbW3EgjQ9RkAbAXJdQ1U9nmZb+C6OxkU M9QYTjnIFYAWEPLXgmrWGBKsBiAgQFQADVqPvlWahsfHEFFfBLWQuAUDDShsHSBAN0hFvc8AF37O eKGmF/ZWUNBgrMPoiKandg7od2Lr6IEn2G5TLHkAB96XLxxTpYb4183r368/BdA58v0HW/8FC1gG gGSzMRBAchTgVxR/EEZollsicfMbIRUKJ1Zmm1mwIWUGStBAXYDhsBN4V0yIXi0JWYiiBggE0NNc XVkQ44xb1UjBehQENhsjPMYingst1vFiIBJRQ2EPUBWAQE4SOBjZAE5CqZxcWgUgWljexbIkB/Gh s5iRu5ikChdHWmXbjFGSJxlzFxyg4wQ/BUUikv7Jd8tK1LXVJzlxnPmnl4MqCWiGhdqTqAyPpbkn oovG4OigLU3x0pCRomBfpiUZxulzY35qDmOYimoqdZOeKuRpqtbQ6jJfvvqQrKsUSasut0JSaa5P 8Bpekr6yEOyvSw0rrLF6YIfsE6kuq8sPS85+0Wy0Y1xT6rDXrhABADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0188.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•

•From the previous analysis, we learned the behavi= or

•

•where c is a constant. This behavior is always true in &= #13;

•any 4D CFT as is clear from the dimensional analy= sis.

•

•Moreover, the coefficient c is proportional to the central

•charge of the CFT, as far as it has= its AdS dual. For large

•N gauge theories, it behaves like = ; .

•

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0188_image238.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC51SPUsDQRCdnT3PZA0akhQiCmcTixiVVGmECJYqYtKoVZQLnuQSIYFwXWqrtIrF dX4Ugv/ASrRQEIt0kn+ggVQKnvtxuSJaaBbmeG9u5r0ZdtuPd6cgT4cZGoQFet4kAtBzwj8wLf+O 8AhjHyEhPiLoeZ5EC2TSz40FdRE0tA6LcZTUJ2AKPFEMUc5vObrk4TKAB8p7/JoIrBfrBwXnyOQ1 EOLZD1Qd4mg80kRpJ3CHeESgOCapQgnM4WFI5XI4zsTsn9j8Ut0tIjUQogXLNmvGhtkwtqp2sQIX V2+NGx7GUrfhzpRSyodI/wxzcZWJ1nlH6RnecHoo538PdOdoNiwkMo7iSLZ9Pjg3+efcygd9nxd6 EhIKZd/nmrQkX3P6+73qgu8HPAeC53/sS4bcl0ndLDVR56hkVay6qbyALkrVFeuXu0LhlXfsvWoZ 4Mxgu71u/I87u3g/KiTaVp/rcsd0wJ80wZct5r88Jl+nvFJQs8Sklj9LkyBi3qnVTRtSwhd4xywc ywbx4KO9OAzuTWX/N5VQYlNkAwAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0188_image239.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhlQA5AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQCN AC8AgwAAAAYFXgcGWwoIRwoISwkITgsJQgAAZgUEYAMDYwECAwECAwECAwECAwECAwECAwT/EMhJ q7046827/9UhgmRpnmhKHROrvnAse+5s3/hZ53zvt7+g0CQqrobIZGcHYCqfT6bLCa3+dsWRdRuk cr8+L3iME5PPMTN6rduq2TBp8g1XyZH0evs419+ygClZEnR5flVYWhuGh0pOeYyNeBaQkmyRQJYr RlaYTV2Ag0Q1njaKNJqffFyMpT2hom8BAVeUH65QdLOUsL2hGI8Zd2G+JbimthenqpLDc6deLM6H WDKcGgIHA1PXttMtxzyicZkZAQgJt4Qhyk3R66mLHelL4/Cr8vH5GgQEqPcA3RkZQVCalmV+EDLD UMDAv4DBVBGEN2Vho4hxDkJLVlHiuo7NOZIJidixIrdwjthZFKeyJMWXlhJ1m+ROosGaM6mdQZlw jDR9xnzy1AkU6NCiUZAaXalUz8+mMVFGAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0188_image240.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjA4wMLAxMgJYl2IYGQAMpj/AtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYGpgMsQkCWGhs/gxTDf5BiBgGQbUDWdiBuYGFg2A40jBuqhofBN7EkI6SyIJWB wQBs928mhf8QF04AWcrAwsQgEJKZm1qs4JdarhCUn5uYx7Bi1fvyjUCsYPCx/JRC2nqgoQy6QNUc QNqI6wsDJwtIq1ElxLyGfzDzGEkyj5EBRH+Am7uA8RATyAS/ShjfhAHET8awBxRkIHuCK3OT8nMY GJKkuU58+SiM090Qexjh9tiAXbq1kgsaSlzgkAQHBzSMhMBqoXY1MDIxMQVXFpek5jKsB5nLANSh yNAF1gAiBL4IM6D7iRmsHwCzb8m9EAIAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0188_image241.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQgAcAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAA5 ABIAgwAAAAAAAAoICQMDAwYFBQsJCgkHCAgHBwwKCwUEBAcGBgcGBwkICAECAwECAwECAwSIEMhJ q70448C1/+AVTGNonlqJrqzKvqELg5xcd+TcipWs0wCfq+Q7CQYBQuEzslFuwxrGgDwACgErwupp 9rqqouGAuB4ICVP4mfpaXIKAQJ2TFNmfAUVx39SDbSAGC2UMcgwxbn2AIQxICUsMcwAGgTmLjH+C AQmTfmyYQz9vIphBUqMkN24aEQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0189.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•(3-2) Entanglement Entropy and Confinement

•

•Now we would like to move on to the confining gauge

•theories.

•

• When the width l is very small, the entanglement entropy

•probes the ultravio= let physics i.e. asymptotically free.

•On the other hand, = when l is large, it probes the IR

•confinement phase (= i.e. mass gap).

•

•Therefore, we expect that the entanglement entropy should

•detect the confinement/deconfinement transition.

•

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0190.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•In summary, we expect the following behavior = ;

•

<= /p:recolorinfo>

Confinement/deconfinement=

transition

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0190_image242.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6WUTWgTQRTH38xmN5vtatJES6gBtwjSVVNiL1JP1s9LrWB6FEKVLQ10s7FZCDmZ g148SG5CQcWDKIKVHkUFLwoePHkouXlQRHqw9ajgOm9mdrpGPagDE95v8n9v3rx5s+tvXq0AH06p a0AGrbWTBA1tlbIfKPF/dTYzNLYoIdIiNIoibk2QolwbUjqbdg2nlGfWfiMLoxChGHKMXzDrCZvv 9gBMGcxHamw4Ox8uznWaHkCTmGz1KxUeOFJslomIvYtWaM1Eq8CsjQzm+Y12vwtlj3A9hdxc3fda zqzXds4H/nwDHjz83F5j06lstWd2L4yImPzEMGn19fujGrNCd8Kz5cqpgsWsE0Fjod7wfK9hyvWt PG7iuDE/5nxU8ZmdyOOuJblgG6jnI9bcHUKNqziykA8rvsN5XPHbFHLFETF7dL6IMU8ve557yJRr 6SLPa9mW7A6jerrV8ZthENYvxbogR3k+MZdzPH/FR7Jir5j32iKXeO+NzPZ5RPWd6N+qT/nNbrJb EHuV9ZU0hpiUe+e0sUySv8Dxn/g9SUn9b7qAYh7Vjn8xWAL4lLUOLH7I/7ELRB4U4nrXhjHEPVX/ m7wmq4ovm8gHFT/XkdcVP9KQn6oaBjuS/j36Op3U92if329Zcew/eC7yX/Xt6y95by6pPK/wep5T XDOQZxUfA+SqyuuWnfR/pt0wk3ybXOM8s31OPRmvR+N4g31D/vLVxvdlyb65QLAn2UOth57Ya8rY x6NO1y3ZK79qNmlSg98hi3+reBuDyDHPayd7qksopdVOK/R8GMF8gHmMwXXugK/q6sc8DNZe4/4/ AAuBWpVyBQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0190_image243.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhggFYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAB7 AVAAgwAAAAwKMAsKNwsJPQcGWwYFXgoIRwkITgkHUgoISwgHVQsJQgcGWAAAZgMDYwUEYAT/EMhJ q7046827/1UjgmRpnmiqrmzrvnAcNxMt33iu73zv/ykbcEgsGo/I5EmobDqf0Kh0w5xar9istiPq UqrbsHhMPlbB5bR6zV6GJOi2fE5PM7ujun7Pv8b7gIGCRH+DhoeILoWJjI2OGouPkoJ5bF4mkZOa ezSVbwCZZjWYn5umeqGhTapfpaevlnignbSzNp5SrHCusL12u7OgwLfCfiB4yEUBBF+6viAFBVbM HLLFrcXE2ds/lzXWwGUCDga8MAcODggt6GrRS8jJLAYOApDNYNr62bg+aGdrHiQw9wJBvQAPFLB4 0KDckQCZILqAWOWAswwHHmTIZ2EfN4/d/66NGnkxCQKNBFtAXAcgQYMBKgwwpGbEZQebiji6eMCy o89PI27VCtqPRydX8sSs/FmigMMMCF5KGNBAYYoCAwo0CGDEQNEKXkti+OoiKtcLkcQOOYpNjssF TEnQs5dB61lQ0iq86zCAmUurFAg0YCCggUUR1AS/VOAAQNQHMBU0gAxAgEEADBqQg2MtgOTBdJMJ YEzBswgGXO5IsNw4KurKgh0coCAg9mwKCxoMHMtbrQbBBeBKCNAYhRDVcwTfDWeigIPlIe6A2cuB AUxQxScQgBlAKwCLKCXUcyCinEuBAKhq7DIQYQPhnhygHvec8wTyTBzkfZAXkpDc4omQQP8ADEgz jkIWOXTgdw3R1gBNaOXjWwYKKNTXdgBUGMRIIrVBXlwljFMAdN80gwJCE0j2FCh0FSaBYNcZYFUl NAo1gVfUVGIRXX/ZV6IEkvGY3UbxfEMXkMflJVkN/cExJG891CeBAVpBiE88AIWjC3VR9OObV/VE aOIJCjyVW5MMKbCcV69hGIyPb3qSRyUMTQBRcXIK8eExQlD1431FAoAfOHByaKgOwAkHAHHGAUUC l7ZgKak3L+BSyKSSPimBd0yiMCgeRy6AH4QMBYAinDUWOudx0qnKKgly/lmorB3p1BaIKmh4YWSA lQDQhFDseagJXj1wJAWSXUdVryAccNv/jVVVkMBM0CqAwG5vZrvqFyhVQt5dk7kK6LHVxGHpe7Uq 2pGmtkb3gpQAUPnghq0ASwVZMAh2LFsmiJhBYbe5RO4H4VGQTg1n4SQBQ0Om6mMlubFUiYrDGSau BJnl1Ve5Y1WRMVcCoPRxZQVDZCWl5nYIxT/2bjSsDG+NopZzGxgUwDg9UQCpBQVeYNGIeMG08QQu vVaZCCCLYE9hDdgjgkLdZUdebYs68ABXCoQ3NTNMtziosRtQRCLTFTDdxXVmi3DdVLq92JBQZPG7 MqEq59CyBkvNKleYNWv2rF5N1qr2lS81LZiVgioqy+JelEceA3d5VUCLmVUVeQOTRzqB/wBaPbBi hHR38WRWoFFAOmEVmLXpA5q6XDcsd2twkgtObXEqrLFrwVMFrYOOrym5Z/DA34cwQLwHv+8xrbTY UvGyI17+MM7ngGiFeb9KIzIXBQeoe8/z0KeEaPGDwZM8HQSQiPyqwZORZfvPxC8/C9JROv/9+BcB f/789//B/v4LoABvNcACGrAFADygAueXwAU6EHYPjKAEXTfBCk5QbhbMYAExqMEO+u98HgyhCEdI whKa8IQoTKEKV8jCFrrwhTCMoQxnSMMa2vCGOMyhDneYGkDYj4cZrAVamBOG4wCxg6loQwOPCD3G BYMoNnIfE4M4DLbsY4kwwOJwEKedHv8sY0yMIJAIohE4LXBRcNrAhkeIkUYWoEMduDsDoWKXFNps JgAJYMCQtpeD6YnPCQZQjFNchIJxDGQAD+APGfgIJc7oZI38uJtBBIAQZnFhiARUgaUsgB4ARAMX GdFBJ8HnBAJsBgALUEwKMlMGiUwglI0cFiQ/QsQTNYAlLlnbJdvVxlj60lCzA+MEdneDYGYSCnok Fys9pUUXKGxhOcvkI604FFq0LCrKitb/OlS/5C3iD0LIG60csxUZiJOUGqgdCATjuQ9QJZpHC0Iz 54EL1WHye0awS6e2mSVSUPCeMROmBHLTPGei648aYOQFJAM2AljIAd7bVOAyo0sOmab/dJUhTVQc AJMijaY4HyUnRzdnm9VodDKRQSlJ/WbS1mimooSbAEH/Wa8bJMpOrcvTNpkjlkvhUznuKtu8YgDU Y37AOerLkFUQICqZltGTgRNWBuRTmXRwBT+HDBec8BOgtqlnNQ5AUIPwY57JZBUlC0qQoASUHq12 TKhn1BsIS6ArAmBIQ7USKD6N2KhflkKqesOODAD7Og+ISH35yVkqFrEjCfRIW6/6k8OWBIe8OOxN lMULqi6Vj94ZdbCRq9JbabUzLaETjVj6rEi8xDIZRC8FYBpYn0Z62sBSoE4Vw1NkswXZH31qW5vt qjUuK6agStMHNx1O6zhVWcDdcxj0/3puXFhb3Cz203eYEp0FNNSdA6wtKx7Ql3/GdFmdBpe3ko1s UYibV+PKkqa5spBdebVQqbTVkr7kIKzgeyjCrtezKQDshIo1MHLecqCLCo4HXHI8g5UTDt3arXl7 O4uIllcoFt5tdWvALlzZ9gTwktcZAebYpiHvDb4B5y/Fq1eTyYDFuxCLvwybDuqlE15Teg3FFmUx CvP2whjDHMginN4gAy1k5x2tnYb6DeT4ZJ4UsBnOTtzevuYXDQGt2IMnQJWCtiDL+j0qgJtSRvo4 BI/9Ic7VMoRWpPHYxGERTteOVk6KLA0ZMGFa0kw857RJRc9vLnCAqMa23bwDbiqGcoGUWVou+03o m3QrzYEdSSl7wkCcc72AQldQ2u8wBHPEE0Dl1ETpSBWJcVC0welC07hW52HVpY40tDInAXt2GkqK DoQxNUBMGexaBepkYa/jmOn+DW8Dy8vBsaeIgWT7s7AH9CMGNh0DaTObAtSmci0jGNf09SCuR/Q2 Jth37XK/IAIAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0190_image244.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgCiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAG AJ4AgAAAAAAAAAJRBBJmqMjnoEtLVUubPTtfjXViSILmh3Jl6qmny45vS8vxCuc1vs+2/uvdfLyg sYgkKodMYLIpdC6l0OM0irVWn9Rulvu9ar3j8FYMLqvTbGIBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0190_image245.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh4gAKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgDe AAYAgAAAAAAAAAI3hI+py+0Po5y02otXyLz7D4biF5TjiabqepbuC8fyTNf2jef6zvf+32MJh8Ri ymVMKpfMxuZQAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0190_image246.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYHZgYuQEsS7EMzIAGcyXgWwmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD5MDUwOzEJClxsbPIMXwH6SYQQDIPwBkbQdiB2YGhu9Aw7ihangYfBNLMkIqC1IZ GALAdv9mUvgPceEEsK0sTAwCIZm5qcUKfqnlCkH5uYl5DCtWvS/fCMQKBh/LzymlBbAA1ekCFXMB aSOuLwwZjGxAVlpmXmZJKgdYjIFJH2yaYybEjoZ/5NnByACiPwA1QcxdwOjAADIhOJML6iMusK8Z waZD7BICqwXZBQp2RiYmpuDK4pLUXIYAkLkgVysydEE0AIHAF2EGmH8gdjEyMINlAPyhJTe8AQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0190_image247.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhMAAfAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABAAm ABgAgwAAAEYKG1EKH1oJIWEJI38HK3QIKGgIJXoHKpkAM40FL5UDMYQGLYgGLpEEMAECAwSgEMhJ K03J6s1rxlsGiB1HlmdpYez4va4IToSSLEUwLJ4kf77gaCghJBgBwC7R6BFlQiAR4DgNEgYn9Pmc +RLJSYJwiZq508bxEo5KQfDXSbBYh1R4ekLRS+E5enxifn8ddQWFeAEpV4SJFUYrjo8TBgkDFFcM d5RqCwcSAwoLbReThgMBCFU4pWJTlH9SsXhbtCgsp7dCsLsrZb4aLTGUEQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0190_image248.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhpwCGAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACl AIQAgQAAAIAAgP8AAAECAwL/hI+py+0PowSi2ouz3rzfCYbiOHrmiXrkyrag5cbyTNcGbOf6zuP8 DwyGKsKi8XjwIZfMmrIJjZaI0qo1Qr1qt8nsIhDgio1PBXiM/pUT4HP6TfM22mG4vSVn0N33/mQ9 V+c3CAEYSIjYYHiY2NhFwudIuPgQKdlHWSl4eZepyYkpEGMJOpYHuVkqdoqqasra6rrlCUIqC0Vb m3rblKvLKwXrYgtcJDy8Wyx0jKyMxNzsbCwKRCxtAz2afO1EHWTN7eIbHd7tLQRePnWOvq2+/u44 Hq81T29lfx+crV/P34/vH8B97AamyWfwmcCETBAynFbw4ayFEslQrLjsIkYgzw439ojocV9ILhpH 6ihpEhvIlEtQspzh8mWMmDLxrKyZESeumzrV8Oy5oyNQeEOP0Cz65yfSOEqXyjjq9AHUqA6mUl1g 9WqCrFofdT3J9WvYrmPJNv0qouxVtWvPon3h9u0fuSrpMrV7F+/MuHoV8e2rgC1VwU4JFwYs7i9i BIoX32js2DBSyZMhI6ZcFDNQzZstA+bcEzRO0aM9f3a8gnRN1S9ZtzbdF7Ze1yxpp5SN17ZJ3SNx 2+UdErhH4Rt90yWOEXlF5RKNy2XeHDWJAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•(3-3) Holographic Calculation

•

•To get a simple holographic dual of a confining g= auge

•theory, we consider the Scherk-Schwarz compactification

•of AdS background.

•

• = ; &n= bsp;

• = ; &n= bsp; = ;

<= /p:recolorinfo>

Anti-periodic

<= /p:recolorinfo>

Closed Stri= ng Tachyon

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image249.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQCkAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAf AKAAgQAAAAAAAACZmQECAwL/hI+pa8EPm4s0hVlrEDjDzXkRGIoP2ZkIWaqrAMOpysruG9s3UOtu 7zMBg6Jhq5hLHjNGokaZnI2gUSQ1J2U0sZ5tLKvwfp9XJfgg5k7L5jW7enpDwem2Vj6/4+2Wfb7v x4cWKMhDKFhX1pF4hcHY2HBI5fCoaCiZVwmpOXmJWcWZ+dkWSjoKespVippqs6ra6hob8jpWKxtL Oaub65nK2wr863sqXEw8apyM/KnczIzpHA0tKV1NTThxq917S7uLnR0eaH1YLu59Tj7up97Ovuce D48nX08vZ5+P/6bfz8/GX0CAltIR3ATOoMKEDLs1DHaw00KHFCFOtPhw2EWNYRmPbfTYKyIckWpI BlmVotQMlWGetby2gFMWTXTMfRB3c13OeW72UahzBofPn/eYDCVjyUrSLgOFLFVaiGmnH1OpRoU6 ZkePoERLavX6NeuOSE5ugODKFG3asWHUdmG7oAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image250.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh3wCSAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAADa AI8AgQAAADMzmf8AAAECAwL/hI+pixEMo5y02ouz3pw614XiSJbmKX0gyrbuC2vqE9f2jYtzzvf+ v/sJh0RTsIhMKlOqpfO5PEKn1Jy0is2yrtqul8P9isfMD/mMZoTT7O+6DcfOaPF6dm7Py5v6/vPt F9iDJ1goRGiYyAOo2IiC6BjZAilZWTJHZ6mpw7jp6dH5KbpAOWpaZnaqGlG66mrQ+qoaK3tKWyuK iSuru+va6zt7G2wJTDxqfPyJmam8yeyMPBytCE39bH1dnK0dybzS7f0dXvndTG5ofo4uqL7O3ucO Dh8oP01PZp+MD+fO/w8woMCBBAsaPIgwocKFDBs6fAgxosSJFCtavChGAMYu6gI6bsTSMeSBkCRL mjyJMqXKlSxbunwJM6bMmTRVAqiJM6fOnTx7+sT50YnJoE9IEoXi8ajSpUybOn0KNarUqVSrVrhn FYy/rCPkce269WuIsGI7qCsLdhzasebWcuLmVkbbuGbh0s2g9u6GvHrx2u179S/gCXwHWxBsmNW+ xIQXM1aM9TGsyJIBOK5MirLky5gTcO7cIBRozZtJPzbNGHVq0Z1VJ3ZtmPVoPqAb064NORXu3O92 h9btW83t4Apktx5O/Pe85Mp7J0fOfPLy6NKdEzd+fDp16NGxY+beHTj16uOLiy9v2XrVAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image251.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh3gAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABwDV ABEAgwAAAFEKH0YKG1oJIX8HK28IJ3QIKGEJI2gIJXoHKpUDMYgGLo0FL5EEMJkAM4QGLQT/EMhJ Kw1E2c37XV4oMYxonmiqApgGkKu4CF3jhPYtFXZjCLqYJNA4ABzIpOIRMMGE0EqBgWQgAsEoJzcq rYAdhKJpGSARIeTOQZCIs19FYYLVDahGrV7EKA4TanscgVCAHgUKNBULgA9pOjYUCHAqC14ThFgN gpwWDC4UBZSdhDECCqMUDSAUAiWlEgIEDgoHgahomFBYBhWlhLJITEMZLMWACgMTwQ6OsQ9VTQEJ iQ1eAQu0vROicxZBzMPLs81k09VewbVqLcYayMoAAtAODE1USUPZCtsGDmQSCKCBlmuCggY0yLkR pigKoHiYwDnYJGEJCwWJAKC6sXGOGYoa/71Yk2AjwEeNSAog2BRAQRt/BakA5GCxZcaKjmzS6Liy IkIACjeidOBxIsl/J48EafnSARozCZZRnORMAqA8QIIcyEGgYQwq35zKo+LNHxlRbZRKIBRo1lkX fdbqQNJwFqZLsCyYXZN2LwC0chtejRWocJBAcdUqBnq4BBBWAAxsOwIKQKSIUnJEFZI3SZWCl+XR kku6NKoOA7LNzbLRM2YPoYG4iD16seUshkvbTp27oufeQz3nsZ33L6rNKzqn+rVaN/AKD9Y1f23B htewFJ5rxz2dbZDotqbbfl0g7ULzzNd6NXOjeETu2DegAmhUsXffBSfMUrZ9OAVA+VkwH/8mFA24 FkXpvQZcWw7wJx4S/pX2EwUYTUCQgpOt5QIch+kiQTbXuTeLN0Bss6AO0Pw0AILdZQENAzRgQyFI E6QWEFGEbTNijroBcGFpJwIp3osxslIPUJdMQEVaZiQTGRKbIPGDPLPkwuEGQTzUChIzLYNREwRQ VEcAddCQlTSt+YHSAOGRWUodSUB0kZoADDBGLF8CBdIpd4Y5RClNKuPPRGOWKdo/a7aJkoxwIqEM VJ5B9NujPTDVxA0H0MOAEflkhyUdOMrlmgUB0NOVqL8pFUgAVGw6wST29MFebRLcMZGcsSSQwxJy lorEqXSYqogSFKxIqEuNuuYarKw2oAxLs7VS4ewaXXIyF6qdHrEIZJ106+234L7AbbfXempuK3KE q+667J4gxnWkrOWLuXC0FGC7+Ob77VbVkputtthaIMC4+hZscBQLABQBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image252.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBo4HBgYuQEsS6EMDIAGcwcjAwMTAwyYFlWIOZkgrGYGBmhLEam//// g1l6jBJQMW64Oh4mB6YGDiEgS42Nn0GK4T9IMYMAkH8AyNoOxA4cDAzfgYZxQ9XwMPgmlmSEVBak MjAEgO3+zaTwH+LCCSBLGViYGARCMnNTixX8UssVgvJzE/MYdix5X34QiBUMPpZzS6R9YwGq0wWq BhrOYMT1haGTHeQkXUOIeQ3/yDOPkQFEf4C61ohrAeMPJnYgKzUvtSi9UhNq2wLGEiaQwRp5ML4H OLTq8tBtZyTRNxDbGeH2+DCATKjK44KGHRc4fMGegoacEFgt1KcNjExMTMGVxSWpuQzfQOYyAHUo MnSBNYAIgS9CDOg+ZQbrBwBKCfM5JgIAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image253.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhewAiAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQBx ABgAgwAAAHAKC4IKCpIJCp8JCqsICbYICdIHB8oHCMAICNsGB/8AAOIGBvgDA/EEBOoFBQT/EMhJ q7046827t8snjmRpguGpruyZtpvAwLTFCNtbW0Uz7ECCo6DRASWEBu64EzQIGSMw0CAygYZGQLLo TqS7g+PKdBwwYFpggbgkGgsHFCA4NAAFx2JGecfnAgh3CAsKSA8LDW1cXXsTDF0JEoRbFY0SAo2N ZyoGC3MUDAxbB58Aemw/CQucAKKkpqgGAQoPAASsAAGIXbsLthRDE7gGG4SarSeQSxMFC5UAv4zM iRLO0NLRCz8TehOZhrrV38ASA44awuYtcDaal9oUXq7v8/NfOvelVgAIxfJ3PHC7AMnMQC4oEl64 F6+hwkcLqAUUN0bCRHwCMxw4E8CAAwez9gBsfIhxYb4UDOUZcfIA1j8J+/AkY9Th5UJoAAbYKXSh nSVTJO0B/WnBAAM4D0CZiwNAwUEuFzHYbAHpKSQ+ugIynHd1AhWaFAbwwwApj4VMWKVSKFDuhCel ADzlEhluawq5nA7UNfKAGYZzDSRVIKah1LupJdYsosCr0Y9MzySsiSihcZfHKeG8G1UBEc5JkTEY fvfZhJgLOx9w08RIH9LV8Kxp1pQ2brgKZshooIJYN4GnniocgItHi24NSfz6fiqh4oSodJ4c35CH OBPocZUeEDxhQJXpHALUvqJgSKUACRbxcv5IOfj3GQpASuR0goI9pT9EAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image254.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBIYFrAyMQJYl2OZWQAMpiXAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqCZCUxCQJYaGz+DFMN/kGIGASD/AJB1DIgVgGrTgIZxQ9XwMPgmlmSEVBakMjAo gO3+zdTwD+LCCSBLGViYGARCMnNTixX8UssVgvJzE/MYdix5X34QiBUMPpbPYE1rYAGq0wWq5gDS RlwJjLvA7lWohPGtGEBO9AzigtrKBXYZ2HionUJgvVA7GxiZmJiCK4tLUnMZGEDmMwB1KDJ0gTWA dAp8EWKA2MkIpj8AZZjB+gHXbZH6YAEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image255.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgAWAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABwAT AAwAgwAAAHAKC58JCoIKCpIJCqsICcAICNsGB/8AAPgDA+IGBuoFBfEEBAECAwECAwECAwRJEMlJ ZVICaB1k0IMELkixaeKWAh1zAiuMnLFMzxqBKG+cFonEoIdDUQwv402TWCRtKtygmfQVp85NB/EB hBBDTQFxGFbOxfEuAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image256.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgAa AAwAgwAAAHAKC4IKCpIJCp8JCrYICasICdsGB8AICNIHB8oHCP8AAOIGBvEEBOoFBfgDAwRmcMkJ wLy0Wiqk0ED3AcVygBWSaBJqgUzjMuPmLuCwrFrggC0UDrYIaBIG4BCIIiwUmodwyXI1pCQei1rh AgwLBKAxmLqwqKtBhjoskhrCyQV+iFGdRxlAcNTSRS4hbhIHfygGcxoRADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image257.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEQB3AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAK AHEAgAAAAAAAAAJ4hB2nmAsB3YPt0Kgutjt3XnkhKFHlx4zpqU6t6cCLLLJ2jLr3nNMk/uoJg8Rd DWj88YrI5jK5ch6fUuX0as1GqVzs1qurfrXhLtk3TpfB6PV5CHWr23S4WI6vM81zOz/vx7ZRQdMA kxBhgqExyCjyoXHX9iCBoFAAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image258.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNABGAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAx AEMAgAAAAIAAAALNhI+pyw0RnJwTWoqzhbnLHXmiAo7mUZ5mqops270wJs/VZsd47oTPzuuBfMHG sHi7ID+1ZWJIdEqnsOYUCpRiodrtEVnDFrNPq0opRM/IDPZZbYS33GUOj47Cr/T6k9U859YXCDdY lWV4aGcgB4bYePcCSCg3uUdn6TGZqAFZF2ToeRm1wNm5WGpKg6d6SsooSkma6VcZu6bWOvKI6sj7 mvOV1xvJprvaeEwhNgxsswVLPOYlvXR0W8yB/VyirLPjjexFRe0MOk6FILxUAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image259.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC52UQWgTQRSGZ2eTdLOJmibFtirtxIpabaJNLMlFqYjHemhCLl6SpqsNNqlkg2mC YA+eCoKHePHmTTxIPYl6KShSUG/WnhQ0pdfqwYuicd6bmZgNFdGFWd43896//76Z3Y03L+8SvLLJ rEG8EPWWNAj0O5TfyAFcdfPhpSqimiYjjbZaLYyi2oCc87Xz/DRrZJNBHh327CH7SAuSSYDzKo9W +GBJzgavkTl+MpWrzKVrVy0+T/kC+cbVDGGRuPiIaEK7j67oF70QhXiU8YPP73Tpp8i8rWE+JYF0 oWjZ7IJVZdMLxVyJ3H+wXX3EBzv5pTo4cqkpNDV8RsycdD1LQOlYTeit/vg/PYpeP2vYSdS9NQEz jF/qSZ9Ogeio5IZ+Lw4ck/zQXUKOM6WQiOoOhYZOI86Kj2OCVUV4VFWYOEOMxEEPj84Vyvl5y5Bz T8JQxQqK9zPYwFTUJ/naYA9wfs4qX2FUZJ3R+7Eqlhecdz9mwON55e36XrGuvDSD0oulMqKBTveT rhu70Eeb3/qBj7Y54+9cX3e/MjvrvVTzdXJDz1Bnd4Y9wBOse2e1fzwpYmdp+8RcHod+zS4qXjvm 5PdDTl7uQ64o9uxGrgve8Dz3gqO6ZJ9+E3m67pXvMUOhk2dnU5ZSSBBUsHc4sxTeLFUrzizMEzLS b35d2wz99cwq3Q8nQOK4rXj7iJONASc/7QWO/OYe4NP2Dt8m+ppKs/OLlXKOHDJf/NlXd8fX3a/x rMVtxe+GcafbvDWEZ9E25V/FxD8PfsJEeAnKfwp6WdIopamaXbGKpAnPJbwiTJaxADq7uRUi3T3S sf4XZETo+EAFAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image260.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhnwFBAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABgCY ATgAgAAAADMzmQL/hI+py+0PT5gh2ouz3rz7D4biSJYmVhnTybbuC8fyTNdKqtr6zvf+D9ThgsSi 8YhMsobKpvMJjfaY0qr1is0yqNqu9wt2USgJbviMTqsdQ5x5DY/LscxUff4d4/fVO2C8wpfl9iYo pwfUZoNIw6ileEgmJNkoUTgDuGhZqXJp5dlFqNlZAzklIYQAOmKaN9cqA1v640bLswqFC6Z7wkvi 26t6ugOcVDzocwwR2KAs4rdRyNy8dOmMKR02TV29jFqSnUz55+tpLcbWx63tjZ4u/Lu+GxHeUgsv ZQaN/O6+tXDtG0A0oOotEZjjQUBWzTIl83CuQ8F+Nz6sIHSxTCiF/xXsZNpnsWOnQCATivtDztLC eBoyMiNTUiEbkS/HoUSYgaQdVIBWEmtIClLPZx4RDh04pWgOn+ByKkXZxiGKLU9FjrR5Myc+phd6 bguhDx/OpgKBcZ1q9CzDrmK/WkRqMiXblm2ReL17dGzcmAC90tva9e6ouFmJ4G1HOODhvRrnoiUl liBcuYRNRNWLeDDlykVwXY4MgspnzP+0LjWptmHetY2hkmZttbDjwbE3y35oodboZxVPb5qd+3Ts cqlZf6NZWO1O5Ldl/nS9EyrWYX+hJ6wNsTfz5ZlRKHXUG64kjMUp/r4otdd3t86JFa35WvOy96Ku cuCik7JOt7zY5/9+Ex05AVJniF171MeJbWZJ1FxWpqQGXmkFHlFeELLMEp+EdMmWEWMCcoWgeRMm MmGFFJnYWH3TGAQWaCPmUiCKGqZyHWgssvSiOobIeIN/MTh0IYAH5fjJjrTwWNdoFzYYGpFF8oGk PJhopJtRM/LmZD4+nhGllD9WxF1HL01mXJZmWtiafDAwokd+N40TYYtnzmlherFMNydfdAaT3Z5+ EtWmnX8OyeCghkbj4qFr4iXmYoo+ahqkiXQp6YiUVoppplhqymmnTlwKZaH+AOcpOxnmCRNQ0QCY KkcdrlpqGqspult4G9q6Za2RxsrrRolyFhyZNyoDaq/GvtXWmDaNUSLmdeOlCS1qPEUFC57HXlun eJA5OG2z9/zWXl8jyfXtg9iea1crA66bGLC5trdPub+iS+9zzQkFJJXh2qptouRtWW/A9qQ42YA4 YaVnRBxKWKzAAfuBHzwRSwztsGVFK63DGi9ibo0Xe/zxtkx6mDFgJDe8ca+N1rHfuC4z27J0Y1K1 Inqi1URtqQUAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image261.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgBXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAG AFMAgAAAAAAAAAI3BBJmqMjnoEtQ1UZXvtq+jnnbx5XkOabiGrbga6puzMJoTc+3Ltt97sPtgjzh bwhMIpfHppFVAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image262.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYFRgYuIEsTbHMjIAGcwngWwmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD5MCUwOjEJClxsbPIMXwH6SYQQDIPwBkLQNiB6BBx4CYG6qGh8E3sSQjpLIglYEh AGz3byaF/xAXTgBZysDCxCAQkpmbWqzgl1quEJSfm5jHsGLV+/KNQKxg8LHcRjBtLgtQnS5QNQeQ NuJ6wPiGAaTVsBJiXsM/mHmMJJnHyACiP8DNbWD0AZtbUckFdT0X2IdgZ0LdLgRWC3V7AyMTE1Nw ZXFJai7DXJC5DEAdigxdEA1AIPBFmAHmdohdjAzMYBkA33oYP6gBAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0173_image263.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgArAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAYAEgAS ABQAgwAAABwbRR8eUCEhWScnbiwrfyUlaCoqeikodCQjYS0thDAwkS4uiDMzmTExlS8vjARiEIBA 1BJyslZybmDDSIITel4BSs8gLArqmcaByfLRPAiOCysfDjQQogqqgzEzOAwaiyVLYroZPgDGI/BI SBQNAqDQO4U6EkPDoUBLGuOG0vNw9DxwKV6/57/9f4B5foN6IREAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

–This background is unstable and sho= uld decay into

–a stable background with the same asymptotic

–AdS geometry. This stable solution = is known as

–the = AdS Soliton. [Witten 98’, Horowitz-Silverstein 06’]

–

– = ; Closed string

– = ; &n= bsp; tachyon

–

– = ; &n= bsp; = ; &n= bsp; = ; &n= bsp; = ;

– = ; &n= bsp; = ; &n= bsp;

= = =

Anti-Periodic

<= span lang=3DJA style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PG= othic"; mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>

<= /p:recolorinfo>

Anti-Periodic

<= span lang=3DJA style=3D'font-family:"MS PGothic";mso-fareast-font-family:"MS PG= othic"; mso-ansi-language:EN-US;mso-special-format:lastCR;display:none'>

Compactified AdS

AdS Bubble (AdS Solito= n)

Dual to confinement

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image264.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYwOLAxMAJYn2MYAQxmP8B2UwMMmBZViDmZIKxmBgZoSxGpv///4NZ eowSUDFuuDoeJgemBSxCQJYaGz+DFMN/kGIGASD/AJC1DIgTWBgYngEN44aq4WHwTSzJCKksSGVg SADb/ZtJ4T/EhRNAljKwMDEIhGTmphYr+KWWKwTl5ybmMexY8r78IBArGHws3ySedg1oKIMuUDUH kDbiesD4hhmk1agSxr/PBOKnVELMb/hHnvmMDCD6A1AXJ9jcBkYrBmYgyzElOBWLy5lAJgdX5ibl 5zAwXBficjnxRAinyyEmM8J9kAD2gXYKFzScuMBhCXYwNJSEwGqhdjUwMjExBVcWl6TmMlwDmcsA 1KHI0AXWACKePBNiQPcFM1g/AC8rQ+0SAgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image265.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBwYHRgZOUEsUTiGBmADOa5QDYTgwxYlhWIOZlgLCZGRiiLken///9g lh6jBFSMG66OhwlkqhCQpcbGzyDF8B+kmEEAyD8AZKmBlAENSgNibqgaHgbfxJKMkMqCVAYGBbDd v5ka/kFcOAFsKwsTg0BIZm5qsYJfarlCUH5uYh7DjiXvyw8CsYLBx/JqwbRaFqA6XaBiDiBtxMXA 6AOyhqGqkgtqCxfYJYxgUyF2CIHVguwAEg2MTExMwZXFJam5DAwg8xiAOhQZusAaQDqfPBNigNjB CKY/AGWYwfoB0z3EGVABAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image266.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGwGLAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAADAAZ AX0AgwAAAAAAAACYmACZmTMzmVoJIW8IJ2gIJWEJI3QIKIAAAJkAM4QGLZUDMY0FL/8AAAT/EMhJ aw3B6s27/2AojmRpnmh6ZiamvnAsz3Rth24ZCOzt/8CgcMgJDHqiHe9DIDqf0OjQiMQJlh6CVsrt er8d45GkxHK06CZ4zW4DxVVP2dxJb934vH4kHievV3FndnuFhoV9fiBzdCB2aoeRklyJghqMjSGP k5ydbwOgoJYWmKNMhJ6pqiqJimGAsKaOqKu1tmGhobIAmIEwm7fBwq2uG72ZKMDCy57ExaSw0bsl yszWe87PFMe+NtXX4GvZptzIMt/h6VDZ2hLl5jPo6vOfubmW7/A18vT9MeztMEQbOC0eLX8IWdlb KGjHu4I0HkFKSJHPQntxHAocCAiiN34V/0NOACgKGoZyHn2AFEmRZDGNJzl2AyORJUuXrpSc3Mgx pZCaNhHizMljJ09peiRODBpuaA9GRwkaUsoUnNORBFFKolp12MWLT7PKnLkVaFdVQ/30ioo0Fdez k9Kq7am1ltKlcPPIZbG27q27ePN+kTtX7Fifh+4KFve1MV+6h+cBXiyF8GPDPRECDkzZhmV3kGUi /ru5843PvEJnDrpZgWsFnE3jaPz1sjRuo9Olec3b9WY0si/QBgsas1TKvZP/Dr5tOMPityMvTk5d gmLm7pxjhB4LN/LXFJJj/4C6L6wH6AOhfwBgPXsJ7hPy1jB/PC7turh3ZPSgY3sK700QIP9C9VkA 3gfrwefegDaVp9oV/fkyIIMM9lNgeAciCOCGTDlonAARLkGhgCFdOIGJHEzIYVAeRneefyPCV6KJ KKa44n8d4pdfah+GmEGMOFbUG4auiTBhfFV9dkxUPgZJYoXy1VejjSQ6yaKOJS3JH4wWsAdllEUC MOUGKsqYJJZjaDlQhAFAiR5TUmYIQplW3oRmBmqu+SaZQQ0pppwaVmnmlVjiKZp30xXoJ4J7Jqjg l0LdyeOHsXwX5olj2seLpHmulleNmXbZmZKHSvcpoBKEWoGjcy6oDqkPtnXqpUQqMIKrHtDZFKel Lujrr8AGK+ywxBZr7LHr8bagssj+GgL/pMvAKlaz1FZr7bXU9pYss9hCO+irvELW7bjklosst9xe O6c/0rroqWCKosronoH20253psJ7oKoa0Ftvndbcu1++cPnJbwq+0iNwIIjOuq+8mgpX6KTuHudw mAePt3BRBHdF3aIRGxMupf4l+rGtIRcxcsWymixeyiJP3KnFlr5sQRr2bcxWyTW/PJnGK+Mrmmkn L5dz0AMP3VnRB4Wsc8NrLMCB1BIsYDUAVEeEBnWxpfx0x15kXcHVWE9A9gulwbwI0gyDzYXUYlNA tdhxk5C22kmwzbHSUZctN9xVq/Az3i3ovTNZYZutONZZn63JW4Sn8DXfXzS+uN9m113B/+CRvzD5 u2FbfbblFmh+XeczfE5zF3HPvTjdE5yOeg2qt8z62IEzDnfjVj9iwAIGzO5D7ZVWPjrZV7suuhYL oEH1AQVoLjwMxPM8iR0HMEC6BA1M75nhUE8lEfC7iw4AAsF7T0P1iOfxFvmXJ5CA+uuD7/Ya8mSP vAQOLOAA/amzH+XYYBYAUkKAoPNCAQ3YBfbpwwkrYeA6ELg6KCxQgoOhoO0g2DQMMkZmpRrgECLo wQOCMFbWG2EHS8gG9uXGBCtkYRuq90K74UyGhvicTn4SQxy6YS/cKcNGhBiEHvrwhxOjGMcEMkQg GPGISMRPWLpjlPYZBDhQjIuOpkjFmNQ8MBk3zKIWtYOEUuzEir/Aohg5gZMq9IWJH1HjGsc4HDfS ZYdXvMMcO+GSjJSqhjeT4x7Z6Bw/9uSLI3jiILFRx0uMBZGP0+Mim0EbfNyPGoKcJCEdYwwRniCM mkwFO0axpBhkMpSbJE4nKwhGVNZiHK/YoCvtpMpVFm+WOXpOLFOIS1regzy37CWhfimHYArTlyUB JhqP2ZLtKBOQzAxGJawAyWiCK5mLqKY109EHiORgmw3C5iKgCc5XipM85bwSOdPJrnWy017ufOc8 4inPV5kgAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image267.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhjQBtAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACI AGoAgQAAADMzmf8AAAECAwL/hI8Xke0Po5y02vvWwrz7D17aFpbmiTojk7buW63wTNNyjeflrfd+ zPsJh4og8dhbsZDMnHLZjMKU0urrac2isNruh+sNY8Di8oRsTqvQ6jbgCXW34XG5mV63i/F5fZff 55cFqCEYRkhnWIUYqDhI4hgpOUlZaXmJmam5ydnp+QkaKjpKWmp6ipqqusra6voKGyv7IyAwi1Jb e1uSm2vQCxwsPExcbHyMnKy8zNzs/AwdLT1NXW19Hbz70asNotsNHi4+Tl5ufo6err7ODjrSXkSl zpeOt544D8euv8927v9PXj8j9QQOLAQPYMB3CQ3eI5iPYUOJ7SBGhDQRY0WKIxsRwjNgsaDHjxw7 NkIXUuTJhRpNfkRQ0uXLNyNJ1rS5UlYBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image268.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYwOLAxMAJYn2MYAQxmP8B2UwMMmBZViDmZIKxmBgZoSxGpv///4NZ eowSUDFuuDoeJgemBSxCQJYaGz+DFMN/kGIGASD/AJC1DIgTWBgYngEN44aq4WHwTSzJCKksSGVg SADb/ZtJ4T/EhRNAljKwMDEIhGTmphYr+KWWKwTl5ybmMexY8r78IBArGHwstxBP2wI0lEEXqJoD SBtxPWB8wwzSalQJ499nAvFTKiHmN/wjz3xGBhD9AaiLE2xuA6MVAzOQ5ZgSnIrF5Uwgk4Mrc5Py c4B2C3Nd/PJRCKfLISYzwn2QAPaBdgoXNJy4wGEJdjA0lITAaqF2NTAyMTEFVxaXpOYybAGZywDU ocjQBdYAIgS+CDGg+4IZrB8A1cR9ghICAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image269.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAAXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQAh AA4AgAAAAJkAMwJEhI8Joe384ApMOmMVlPSeem1I1oBJJ3rnN2Ic+bDycsI1ZXF3PWNzOmnRhj9X BYe6dYwbExLoU8UmyKi0FNXZrtUmpQAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image270.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDAAPAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAI AAgAgAAAAP8AAAIPBIJ5ZsHs3pLxVWhPQqYAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image271.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQAO AAoAgAAAAP8AAAIajAGmgcj9HGyJxlinhMv6rG3geH1ipjiHGhQAOx== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image272.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGQASAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAAV AAoAgAAAAP8AAAIijIEWoJvKkHRJ1jstxTvqDIbcR4Zb10Wo5X0plTKxPLdIAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image273.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEQBeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAK AFgAgAAAAAAAAAJkhB2nuBffwEtrQmUpynp3d1UhNoKfF01piTaqy0rxK56yTZP4zO/++oMFa8Ci 0Eg8KpNMHdK5hDZNT2rUOm1lb1Wt9IsFe8PksZl7PefK6C1Nk6O8EhDVhQPn6EqZdLsSwXBQAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image274.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQAyAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAS ADAAgAAAAAAAZgJQDI6pF20LnYNUPqokjm2v6SVgyFzkeJopiXQsgIYuG3vz+taYvqu2v7nJgD0i x/gRBpW9FwyZzDEr0Ey1NeVIr0/uc0vLRsNcnlWMRXe93AIAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image275.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKAAlAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAgAn ACEAgQAAAAAAAIAAAAECAwJ3hI+pG7EP4wnCyXupxZyJ2oUIBYoiWZocuo3NC8fy/H0tgNb6zvf6 nfMJh7YR8UjcBJHMomHZZFqg0eO0igVRs0LHlutrgJvesRRntj7TyTU7PHn3Wl8zfYbPw36qFb+f UXMD+MBCGJhyCKGhGDjYmNAAKSH5UAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0174_image276.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIAAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAe AA4AgQAAAAAAAIAAgAECAwI3hI+pEOufQoNUBTGP3Lz7LWDIFZbmiZqSQabuK7bwrMr0DN70ZOto 9gkGQ5kK5VI0QlZKY9JQAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•The metric of AdS soliton is given by the double Wick

•rotation of the A= dS black hole solution. &= #13;

•

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image277.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC52WTWgTQRTHZ2cTm91Ns9mkprXWum21pk2qNlrrQaF+gIIota2gHsRqU61NG0kq tX5AL4IoqOBJBXGVgPSiHoIiIkFB8FBQEEQP4qEnL1q1INYa53OdkRzUwIb3e/8382bevp3d15PP rgL6a+8IAw0bO08o2FDveNAfqCGiF10a5BZUFGYpsFgsEmu5UsV8hhvnh2jO9hCyGueZoBoUcTAI Ii4g6xG6CmsA+IECDBbjB9t7Rw73jB1NAjDu8SHvdzSbjy0RLQi0KHTuCmipfRq2wsgaNLmvx+K+ 2TD13dU2NVPfXS0Vp76X5nWD+l6aOYv7LoS5ry2C9z0LC3M08yWF5Icg2DMwlMzaO5Kjdld6qHcY 3J74OHoPXfbK6dE2q7+SrpFUECT03mBZm4os27aTfuY5tEKnHvbzMX/bcly4pjjn3bYi8c1azFGX ByMiJ0Nvg2J8MrTEFPUO/Uocc9zl88swt7oM6jHbcT/j/TXyOrm/ECntt63S/nGjtP+9t7S/A8h+ WklHnUzIlXTUlpZSlXTU2ZhYSUcdXKBInK8UK+OorRUi57w3AmJ8zvvBT3XaE+M//68nIOnfT6g3 6Lx5cxtuZpBgedZZtYRXxbneGZX1FRLnzV0Nsq43iHc0b+6rFvWDVvt8kZsD3ypk/blf1k8GZc6U y/n3QMoGy+/zliGrO50aGEkPe/iqCh7SV2mN8VqI7+OGvu4BGrHRGI7hiNV9lDWfzNe0YjPmlYxn oEX0BONTnimir3L1SKOszywVeQYurJP1F+RJa3V1u0bUb3nmQiIfUR6HZP2iLusbAjKvNeT8rG5u /mov7teNWzmzim3VGP+u2J+nkvKPpxLtQAj4GRIgT0rfcc7hRpmr6mQ+sBhnzLh8dhHmfpcHqkj8 CD+D7oex3sU4bk4Rzrj6lCmzTirX73LeEPW4uSVA5s9w/kz0rgzP3w6InqW82b+XdEaGsaFx1thZ 86UeV6Q/mmniZ8GrqLhjR33TIPO7Wplj1eKOHfVYlbhiR70WEXeU8562xIqk4IQlxue8E+UyvzDk 8Sc1UU/Bcr9YkRR8oIkVcVRekRLvM4g7p3ts6EA6hWCBrnydDv/l2dUbPNOEp4hlOZ9bIvPlhTLH yJnb4vIPS9bnyLrXZ/nb6GFUjO/QE+SZfpjl+9q2TBzvqJ31Mu9aJPN0hTifoz4xZf1pGc2vsy8R nXytkCMe0NqF2HcIqd24AiHsHsuOJIdAJa4TQCPqwDkyAP8Fv4bBn0+dSsb/AgTzrGx0CQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image278.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh/AG+AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQCy AbUAgwAAAEYKG1EKH1oJIWgIJX8HK28IJ3oHKmEJI3QIKJkAM40FL5EEMIQGLZUDMYgGLgT/EMhJ q7046807V6C3gYpoXuSprmzrvnAsz3Rt30Ap6S3P47nJD0gsGo/IpHI5G7qcRChzSq1ar1imdLW9 dbPgsHhMpn4HpMBI+S273/D4mERaEFAcNOPDlvv/gIFKCwoFAAGEBhVtAASFa0mMgpOUlZYTBwp3 hwp7Qh4NCggakjKll6ipqmGEFCE7nxoOXT5Gtau4ubpVAQoLE72eOXQaAr6kxEV0p7vNzs8ejgcT oQkeCQwKBwYK1iTTAA8OQN8S4tDo6eosBaKHoYYdCwsDAKEK9QDto7PjQPsA+q0bSLAghWyzfG3i sMAfADQOQzwQ0AAcDokULRrcyFGXsT2O/+JxCJWvkYIGEtA8OCDAiEqWHWPKXMUNnAKHGlRSeKBA EYBMBXwWASp0plFnaECowZACUKhR4dxteDohaUsAhFAeyQpDwIMWAwgtlOA1w8QOSRUsXfRKRtq1 KNrGeJuh6Qy6TOWePaKnbiw/bbmJzDCLAiFhIEoqw/eCgAPFJhAUQkPBMWQKCBiMzdDXwi23nUj9 nRua6WjSwjz/zbwZR8gOzKpI/iWhF868ExIkeARgNhLfLhA4uLrCwR4GXyUIJ45BgAOoGl6LniGd D3XekK4P9jvBOXQgVK3HQXTScCG4FsQCMDAg0wGU7YoSie8igIPWInbLt4/fggEH6FkQHv8ADDAH ywwDZhdDgtwhKJWC6wFYRGHiwXGPXdyA0B8AAmRTgBruSZBNgDiM6EIBqalAIQUoisDAdhasOMBt QdCwIoQw3NjgDDqaZsGLRBhDG45HcWFELxqd0I5WwGgjQiYkknXMQw4weZpqIgjpwRenaFmhjx54 SSSUNWCjDTfWkMXTAgFYFFuReBTBzXciZGjXeg8O42Q4Dkkmn5nbdENgMgdOpwGgaHJ4AAP5ODZk G20gKqgAizbqAG2MRJpNoNZQyqgEjhZagZ80zFPPPSVlI0BNosLZgxE8GWgCIZDFWgFAAqWkQHIS mGpPYhKEwlymG/iKqp6/7DYlsRoYC2z/HQAo+4skXzjLGLTS1niBTjI0VNVNruigQEufsbHMMpW8 eUKPJsglQY8YVeSKQ97q6pADOJWLJQb1PgQuqCAgYKW+izTrEEQTOCIKkwQXnEG/CAO88F9Q/AsD SQmXNwFPRaHrKgvqthuyZLwKMcRLsg4TLGMAayXZwITGeQHGLZtXsp7uOjwzyyZZSUjJHu9YAc09 2xzunSaTVjLHFET88RPnxtzED1FL/ZOgbFVAFG7cmtOTBJlsyFbVPHQdVVGCiUB2W2YzPUHaW679 7dJfv40dbCFTMKBVFfAEoxxrBy744HLLPDbhVU/Arge0xjgEV0yNszcIV5moghSTj4tZ/2mXY5A5 c5KlqLbnD/I9Qejt0ljcD4dZ4DQWgacLK88nWLwT7cBeYMxXN7bOIee1Y9A78D9ZHvwFw6e4qFpG Is868ctHacHuMbSlG2/GJP20KUbMucLLF3iv3JQXkGr9bvGkfdmX2keLPgXW0Jfm6HHl9n5u+nw9 /5a4SXD9YPHTHwdIBQP1sMc9KMmENaTRru0J7QZIWkE78BNBCdAHA2QyYHu0gRKeEOAAYgNTBTSI wAUkgAD1cMQDCkAn9vVKE+vZ4HtMiEKTrLCFRMIKDA/IQRqmcFcs5ACZohLCDHToPFcDRwICEAoH 7K9V4TJZCXwQND1JER15E0GLVMAA1f9ZUBjG+1E8jvihJFrwJDh0IYc8BCInNWQhDPiUttRIxjZO 440TiGM+kCZCCtTRjHgUkRz5KCKRLKCLU6BFoeRCNVfozAaETFfOauMA+XCgF3+jpCUv4BjpuWGS R2hYFK7UyQp4cZRbEJcjR9PIVULySpQQ5XJMUMoMzLIYz4kl7KowBO9UwACbVMYcdzBFKLLSlcas QRbJsAUCMCCN1KANA4JZmWdy5j6yu8IyQVaBGW0mAdAkxzFVRsy4IC1qttBFFwJwM88gICyZtAA7 zZKyP2zzCWYYwl52KSp9uauVrbrnA7elHj+2c2P1HOULdqMZowiUm7z8ZMwaBtBFPtL/CwOczA8s Y8uGVm8ZdjCcAxsYUSs8tAk6u0VFh+BPhW7AOATi1S2NmMsYEMIQ5JHPSR1aUpOWgaWxSEFbVorM YdKAEfqpAH868B9PPgmGnEjNTnmaSFgiYapQG2pTQqDKO53raFd8ZTLf5YQtdgBIBaTaZ7C6kUgu xq0XgetIRebWJSl1Tx0YYgt6MaRgSBGUcw2sYOsCAnCcg6lVFB8x93TY3tStBQxc2RMHS9nKcgBX tmMI7aJiIMwebFcvAAgT72bZ0po2axORl9qcAK8SpFYjmeXiTUAQ0tPa1rYoUwHJPHOyXcGEty74 iEniedvijnRrKlAgcCmA3OWygFU5/zilcaf7McipoHGmfJzGUCDdkUiFJ+GkrnhnkrvLqY4niilv BajXAx7AbbzwLRJwdLtdCih2vhYg4PfIZ5v4+tcoF1TBBC9QwfxRU68nII/PkPjfBhskjCZAJAbM CuGDEFcDFwoMCYro4A7PBJMZsA81KyMhD5v4xAkrMQZm2pyaovjF/m2ANEcMKmtiwJswznF8RQFP D8wTA/vUsZCNy1AOD/nISE6ykpfM5CY7+clQjrKUp0zlKlv5yljOspa3zOUue/nLYA6zmP3L1jGb GQ6APbOa1WnUNbs5F8V8s5zhPNY52xkQoryzngFXxT37Gc9/DnQgyizoQuONsbchtP+hF50BzzL6 0SZ1bUYgTekl5LbSmE5CczPNaSJYt9NgDgtUE+a59dkCd2kGNZQlUwDKvC3EFyawARrQXVuST1uK VrV4YYocsiTJArFODyHUFWBc69rKSe3OQbtp5KytIIx5PjaTdcQApwaLCwKNtrSTbNeNTRYDosMb Suu87SHb6RWOkKJh84Xtcbe53ErGLoEG42hdLTZxzq6eVeGN5LZIJr2SVq1J2s09cvM7x7u1IE4u zaIhieyoqT54jpXbq8FsOo/xiF2+741OiW9Z3o/VoZW6k6fVYhtxcvX4f22H6vWZtXa5VrmOwTca /FIAmxz/6sZlbuYB55FFIc/NyEX/kBRT48CDPHewhKlxEOYp1eF0TfkMDlnrpJ8WxJUxOjUSmgUp VN3qpa0lizbwW4mGj8Zgp6yMRbTJMmIA7do0KjjTTl0eLyCTAxi6cgD3brpPt8jNUKXfJa7twXda 54YnfOJVHvPFn7nxjrdyOfgU+WPXu/KgjtevMU9phnO+0xf/fKY/LXpOq7f0mLY56itd7NVXusKu j73sZ0/72tv+9rjPve53z/ve+/5yET/0VYP/+yIVPjuKPn7xXZXtPiy/ss2PxPMp2wW8GCqU0ycv SPFzBuL1UZjZl8lND5GIi3KStCIFf/hjErbaAI8RDNoX9tcvfrVSTBZc2re7IU///zDwtUmIYTUk B3W8JXUv0Gf9pw6R9SvfZgGS4g2FZQ5fd3LrloAzIVrwIA/08Cssc3k34IEWuBEIQVscBjEWo3lR EHCbF4LrIFzVgWE84wha4Xk4QIMsaBDQFVuuA1obUzehdwM/eIMGiArhAV5TUTqU80J6dwOkNwfE JwhDCHH8t1guYH0plQ4admHJYzJaB3Fd2AFlsQJWaFE0IGqbEYYXEGQ3lgYNIlBj6EpuyIZgogNq iBbel366MF/9hQz2wxuqhwN/eAIcxQKdMVAtwGquBiqP0VFFVIg5RIh3iIdgEYlYwhqCiH6SuAoK Zh5udwEkxEEGhgStp1vD4QIvmP+JxXEcMlWKuBRep2iILPCK32eKmCgzviQC8Sd/u5Bh7rVhzcFG ZjQo1iYDsCcCS+UCA1Ig5ucCyQYMOLcBTQWD4WVwJ5CLungxJddH0egBi7OMa/ZyLCAjNPJQPQKO GoBWwkMtNdCN3tgC7FhU8xYmtzaLMKZoBcYCXjIjIwcpWlRfnLCCF4BgfjSP9AiPxUCQqEiNAwgb Ael0F/CAyuYLbaKQHaZoimUCEJkNdsEs0JhYeTJ5jaVf0bIpieIploIpDLkBEGmSioiSagQ/JDkp ldKSySSShrGBxyIi48Iqyrdys8N1/IKTuSMs9weL6bFZtgJ0/GAxXWMt9YAttGX/bEaJFUJ5LVGZ LdFWLVX5lFcZlfpiNhNggvkiLuQigG+gcVBoBO/oiZ91L2MJV6WQM60VDpMmBP4glhkzMX+lSA/T lnkpMEeTZl2AlxIDmHvpGTRCNDJ4O3CXY8nHDIqpMTR3PBnVTu5igyoTmQu2bC+pmUbTPDtTEosZ ljwYN91UmmfTNDr4DCjXmq5JKGiJM69JRYGJTm3jg6M2AoXTkJPlLkGYGKjpNhLwXh+wm7eJNrVo TvjmL3SDnMHWPisDHabTg8/5Yoq2lnqDhJojjKBZLJsVENq1hNH1OZsTbikpINoJOpSYQ+R5OuuJ mNllHqLzOpJENrpUBOglAlv4/zvm+ZKLcF4t1xy7sp+YUIw5RKBgY6DXd3PPozwKOpA3cz7YQ5v0 c4AUWRAWmY2E1Yfp8whfeI3l44/D+SCB6FgZwqHwE4oNaIgSCkAqSpn59j8pKj8ZJR+f+B5Xs0B4 NVZaFWdWJAVPyBH2uKPeeQc8hKMeBEKdc1m52SQWMYqYoBY3KmMn9EM31HcgqkNGKkNUWkMqFERW lENT6kM2FESRNEQe9EchEi2j5URZeiAUSqEiNYVxkGvmaETAuKZLMo0JKSKnRGEOKUZrhEQhEkgE 8ilPKAVq6kbPqEdkaIiLekeNiqiwhI5Uh0+p1E+a2kd0mhedCkmgJGJ+gHUEVv9JHSB23dlTS+AE qBoQmApcgueNGwkLyTCrQQpRWGpPVsVibtCqo8KKNMWnC2oGVbVeLjacjSkzraRVzkWGUxSrtbBV 0ocLzWRjY7B2BIJ2zgRNOGahcacFJ/OM/iOscwiHO0dOUil4a/Wo6UStGvBjc/BOd+djnFmHqVqs +EqXoOpVsFQxzgqnRdmT3poTBaVs9KQFlQB4YvCpFypW4mSuABtUq6RSEZuu+ndUG4CIG7WIK+ZR MHAutdWOp8WwDJurH3uFP6pSFBuxXWWxDYurhKGKpwOsLUau3olT5WeQxfWpAouxcdWj4hJnzxqt jPQKX9WjVBiF9+qAQXeM0Kj/Yi7QflGls7eltFNjtVlVsuuQZ+XYn4KaVlHErjeoDgh4RiN3j2QX qCvwf+4XgFg7tnUagZTHAef2AxcJkn0SdCqwgNUAt+sAgs2ClNs5AZcHlgLmDqNVnX6LCihomvGJ WnW5AxMIbrOlEIurDpipAQkXtnNTdpy7Ai6YnJebC0GoART3uVcTFP3zXHuymqObC00oD9+pI7Er ucj4XRr6utT6nbABoABnauwFMr2ouLobCCWquSKKJ9BRojYZGfzlusV7CVDKpBSEV9N7NcNIYJ92 U9kbvX/woOD2p2CkthbGArxoNxrivTJBqvJkqhzgq+pLXfA7s0B5i/FLXdg6G03va62uI673a1x2 95zwagH2+r+2pbAGLAMRAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image279.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhPgACAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAA7 AAEAgAAAAABmAAIGjI+py+1YADt= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image280.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhPQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQA7 AAEAgAAAAABmAAIGjI+py+1YADt= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image281.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhrwBwAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACs AG4AgQAAAAAAAAAA/wECAwL/hI+py+0Po5y02mCz3rz7HmDfSJbmiYjoyrbuob7yTFdxjed6qPe+ zPsJh6Qg8Yi03ZLMZsLojDqh0uqRas36sKml9mvyKrjg8ka8CKHNbMiaoW7LJWR3fS6/R+L4PkA/ AegnJUhROIh0qISopZjhyFgDqTEZ2VJJiWlZonnWuQnywwcqSfRJGvgmqYoKwopz2jr2ukMra5cV i6r7whvp2wvcJwxEzGY8M3oLZ1uFnGv5HNUMJp1kvUXdhi3EXbsMo+2sDE4+pyY+aH6MDs6cbtru zvxUDQ9qdE+jvys/j7/u3zB/AhGh81YwocKFDBs6fAgxosSJFCtavIgxo8aNvRyPCPgooGOTjwhI iiQSckHKkz9WKnDJEgfMlzFzzKRZs8ZNnDlf7OTZs8VPoEFPDCVatMTRBEuTamha0qnRClClSqh6 AKvVB1oBdN3KoOtXsEgjjCWbNcNZtGPXkm2LdgPcuGqf0q2L9y6FuXon8O1r1i7gq4IHQ/hruAHi xGHzMlbs+LHKyJKZWnDL9nJlrlQ3O9CKObNfz5/3ki5N+HTjwKohH27tGjXs1bFnl01ru3bU3J9d muTNFWTSAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image282.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh3gALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwDb AAUAgAAAAAAAAAIyhBFxy+0Po5y02ouz3i8lDobiSJYm5qXqyrbuC8fyTNf2jeexkZ7+DwwKTZ+h 8YhMlgoAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image283.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBghgOsDEyAliXIhjZAAymE+CBBlkwJKsQMzJBGMxMTJCWYxM////B7P0 GCWgYtxwdTxAMxmYhIAsNTZ+BimG/yDFDAJA/gEgaxkQHwAalAZUzw1Vw8Pgm1iSEVJZkMrAsABs 92+mhn8QB04AWcrAwsQgEJKZm1qs4JdarhCUn5uYx7Bi1fvyjUCsYPCxfIlI2hMWoDpdoGoOIG3E Fc30hQGk1aASYt6BvzDzGEkyj5EBRH+Am9vAaA42t6iSC+p6LrAPwc6Eul0IrBbq9gZGJiam4Mri ktRchicgcxmAOhQZuhihMcAg8EWYAeZ2iF2MDMxgGQAgdKYUqAEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image284.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQAO ABQAgwAAAAAAAAkHCAcGBgcGBwMDAwsJCgkICAoICQsKCggHBwwKCwUEBAYFBQECAwECAwRJEAAj hgGkyA1K+FigcdIREEhCCKSkBAfSct4xb4a43G6g8BJGYMdLBBpAgAA2AwGEiVZAMr1VqVbOlbTd ar9NsFTMJZcBXmk1AgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image285.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBoYFzAyMQJYhnHMTIAGcxzgWwmBhmwLCsQczLBWEyMjFAWI9P////B LD1GCagYN1wdD9MCxgZGISBLjY2fQYrhP0gxgwCQfwDIOgbEDkCD0oCYG6qGh8E3sSQjpLIglYFB AWz3b6YDfyEunAC2lYWJQSAkMze1WMEvtVwhKD83MY9hxar35RuBWMHgY3mLZNoaFqA6XaBiDiBt xJXAaM4A0llUyQW1hQvsEkawqRA7hMBqQXaAg4KJiSm4srgkNZeBAWQeA1CHIkMXWANIp8AXYQaI HYxg+gNQhhmsHwAdh0X1UAEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image286.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEAASAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQAAwAJ AAsAgwAAAAAAAAkHCAcGBgcGBwMDAwsJCgkICAoICQsKCggHBwwKCwUEBAYFBQECAwECAwQtEAAj hgGkgBI6DhpwBASSEIKkBAcivdzxSga4zMCq4AAT3LNEoMETsHi+BC8CADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image287.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBghgamBk4gQxJscyMgAZzHNBggwyYElWIOZkgrGYGBmhLEam////g1l6 jBJQMW64Oh6gmQxMQkCWGhs/gxTDf5BiBgEg/wCQdQyIDwANcgNibqgaHgbfxJKMkMqCVJA6kN2/ mQ78hThwAshSJhYmBoHgytyk/BwGhmUqXNu+fBRmWLHqfflGIFYw+FjuIZV2hgWoUBeomgNIG3El MOoxgLQureSC2sIFdgkj2FSIHUJgtVA7gAHBxBRcWVySmsvAADKPAahDkaELrAGkU+CLMAPEDkYw /QEowwzWDwCpJXA1UAEAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image288.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAAO AAkAgwAAAAAAAAgHBwcGBwsKCgkICAMDAwYFBQwKCwoICQsJCgUEBAcGBgECAwECAwECAwQ+EMgp RQiDyGKCkMOBAImBFCKgCEqgTIWwjJKyHBTSUW1CAYGFRsJYvCiGRCrhOkoSH1vwmBglZj8KI8DQ RAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image289.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBQ4GRgZuQEsQxCGBmADGZLRgYGJgYZsCwrEHMywVhMjIxQFiPT//// wSw9RgmoGDdcHQ8TA7MCpxCQpcbGzyDF8B+kmEEAyD8AZC0G4gccDAyLgeq5oWp4GHwTSzJCKgtS GRgmgO3+zXTgL8SFE8C2sjAxCIRk5qYWK/illisE5ecm5jGsWPW+fCMQKxh8LK9TS9vCAlSnC1QM NJzBiOsB42R2kE6fShifnwXEr4DzgxggfHT7QF4F2RdcmZuUnwN0qQLXii8fhXHYx8gAoj8g2fuD FWSENtTchn9I5pLkD4i5jFBzdzM9BLvfsBLGV2GE8LG4nwR7MN0fzAQyoq6SCxo7XOAYBBsLjRsh sFqoXQ2MTExMwZXFJam5DFtA5jIAdSgydEE0AIHAF2EGdD8xg2UA7+wsHYgCAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image290.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXgAhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIABQBX ABkAgwAAADwKO1gIWEUKRF0IXVIJUkwJS3IGcnkEeW4GbnwDfHYFdmYHZmoHamIIYoAAgAT/EMhJ q704682BeGDYjWRpXseDDGfrvlXyCHBdPySC23y7c4NHwhIQJFYSgWLRkxSPLM+S9NswZpaQ0ANi NrXDz8PbqWp0mesjcAg0K2q2u2TGBMkXHX7TeCgSNBV1Eno+HVcEGn0OIw0NSTKAEo4Yi2VamCIW OnMYBQ8HIwqdSSkPj56ghht3fCBvF32DHLMUBA8MGgUFCw8GsBS7vb8mtRO9URMKFIxXDgGosM0P z9FlrCpwDQsLAbkAnwsNycYd3N4S4eMT5QDGAb1kAQ4PBSnfhEjurzD3FAj6NGmoZSpTthHteCQE JohhFod0IFJYKJEiDIsOMbrQCIzjCY9vD0BGlHiNpDuTGwRm5McwAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image291.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhTgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBM AAEAgAAAADMzmQIHjI+py+3vCgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image292.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSgADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBI AAEAgAAAADMzmQIHjI+py+2vCgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0175_image293.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQAxAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAe AC8AgAAAADMzmQJVjIGpy40WnJwJ0tss3u/w7X1XKE5k6USoubJt+sLxos5KbT95tes9gLMFZ0Pi r/hCtpQrJspZgn6kHGq1ZwVht7vsiJvzmsQScubUNNPQUbZIE3OjCgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•We consider the entanglement entropy defined by &= #13;

•

•Since the radius in the x1 direction vanishes smoothly at

•r=3Dr0, the minimal surface can end= at r=3Dr0.

A B

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image294.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhnwBTAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACc AFEAgQAAAJkAM7ng5AECAwL/jI+py+0Po5y0IoCz3rz7D4biSJbmCRgCsLbs68bwLNf0bef4rvf8 79MZUMSi8YhMdlTAZtAJfUqj1KltqMxqt1wU01oNg8fiMhnbTavX2a/5TY7D51M0+47Pf9zyPv3v F/hip1douMYHqCjIuLhDeBgpiZTYaOl4eQk5ydk5UokZmilKtel5ipoBOspK2upjmirLuepq+2ob O7trWIv7exuqy0t85xsMnPw3XNzcdawcjVzG7GytBD0tvQ1Vff1dlM09rv0YAI7OJV5O3j54nh6f tO5eP+0tn78UYN/Pbq4v4Al6//wpwycwIEGDBXPBSwhxD7+GDP0hjBhvIcWNj8AuYkSnsSJHRR4/ fgs5UqSgkiatoVSZ8g3Lls1exoR55iHNiDZx3iylc2fCnj99PpkpdBdRo0V/IE0qa2lTpleCQs0n lerUGU+vnsq6VeuKrl47gRW7lWzZSWfDuh1rdS24tmhFqpV7iO7btHHxupxYd6+cu3716A1ssW/h YocF/yS82JiFyZQrW76MuUEBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image295.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKQBfAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAn AF4AgQAAAAAAAABmAAECAwL/jI+pywYhQJyy0mszFkZMD36hGErj12nqtq4OaIrxDNfenLJ6q3dj XDqRbKEc77ibvG5EGvMpgxmTSJ4PSAyesM9plbpZRqHOscwL/lp82p+QO+RA1OlwoIxv6m9o+vf6 Frgl2Ff3d7dnlkdW6JfElhUJ1QbSaPiISJa4eDZ36Qg4KOomaunokqm4uWn6aTdKKRnXenohxonb ROu6BhH3CxfssVsrcbuqmRxBzCsHKys8wlx7rJzL6FkMFkraHduV3YxUrWqtG65t5fsNLFiELt6T el3eGX84Ce2uNe1KTo+rH6h1+p7lc5Zu2zxk9XDAS6iBG7topARe+scw4MN7grYIHmxn0CIdjOZK LtsIUYkvihMJoeRobKFJgCLrQPrIUlLNQwAzSnmZUmJBbzZ2Kuw58ydMTAZBEkW4FFWDqVQZALiK NavWrVy7ev0KNqzYsWS33in7AO0BtA8chE3AFm7XBXEVaK2KlyrWvHzpZvVbFrBZBHXXvnUbGPHY s4G/FgAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image296.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDAAWAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQAE AA0AgAAAAAAAAAIMBBJ2lqy9ooT0pNsKADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image297.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhDgBVAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwAK AE8AgAAAAAAAAAJXhBGnFrnYHoyq2WUvy3Ry/3Hf4Ujlc2ISsyJtWr3yCpOzeaO5Su9xD8QFdUOe 8EhEGpPMpfOnhDalT1uRirVGtVNulXX1ZsFKkVm0QYM660oGpXHXIMUCADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image298.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFgAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQAN AA8AgAAAAAAAAAIehI8RyLDe2lOUPXNPzhj2VH2RNpKlWHLRJlkWFSIFADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image299.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgAoAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAgAG ACUAgAAAAAAAAAIihGOHGa0OmpwwpnPtXSxzvHliSHYlaKboqqkt+71yTI9mAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image300.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQgAKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAgA/ AAUAgAAAAAAAAAIbhI+py+0XnpxUhmuu3rz7D4ZgRZbOZqZqFhkFADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image301.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjA4wOzAxMAJYk2MZwQxmFkZGRiYGGTAsqxAzMkEYzExMkJZjEz///8H s/QYJaBi3HB1PEwOTAeYhYAsNTZ+BimG/yDFDAIg24Cs7UDcwMzA8B1oGDdUDQ+Db2JJRkhlQSoD QwDY7t9MCv8hLpwAspSBhYlBICQzN7VYwS+1XCEoPzcxj2HFqvflG4FYweBj+S/ZNG0WoDpdoGoO IG3E9YWBmRmk1agSxoe437ASYn7DP/LMZ2QA0R/g9ixgnAQ2VwfDXEYS3Q0xlxFurgkTyISKShjf hwHC54KGGhc4ZMHOh4aZEFgv1E8NjExMTMGVxSWpuQzaIHsYgDoUGbrAGkCEwBdhBnQ/MYP1AwDu 3pGFIAIAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image302.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhLgAcAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAAm ABQAgwAAAAAAAAcGBgoICQYFBQUEBAMDAwkICAsJCgECAwECAwECAwECAwECAwECAwECAwRUEMhJ Q6A4a3t19eAndSAZnoC5oayauSwGy3HZ1msacnjFzb2YZTIUkoo24E6HQvacJ2W0Jl22qh5odsTU CAID0WWG1FIIBcPoiK2pg71BGF47IOARADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image303.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjA4wMjAxMwJYl2KZWQAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYGpgOMQkCWGhs/gxTDf5BiBgGQbUDWdiBuABq0HYi5oWp4GHwTSzJCKgtSGRgM wHb/ZlL4D3HhBJClDCxMDAIhmbmpxQp+qeUKQfm5iXkMK1a9L98IxAoGH8tdpNN+sADV6QJVcwBp I64vDCJg9xpXQsxr+Aczj5Ek8xgZQPQHuLkLGH0YQCZUVHJBXc8F9iHYmVC3C4HVQt3ewMjExBRc WVySmsvwA2QuA1CHIkMXRAMQCHwRZoC5HWIXIwMzWAYAscde+qgBAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image304.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFgAZAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQAAwAP ABEAgAAAAAAAAAIhhI8Qmx33mowS0oouVjvvxXRJqGgj15GpaJiTe3IuqSIFADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image305.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhGgAzAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAY ADEAgAAAAJkAMwJ6hI+hiu22YnhUWppWZhhE92HaE4JcdTajmEIt+a6dXM6pbE8Hnu8vq+P1PD+g S9dRMYQ9ptGJqiV90imxOr1YN9BoF4ZNarfHr2lSbKajV/Kx7daYqW/yag7PZ09zmhn31/LFE0Z3 NgTmBYRExQjGKLFn0TfpKBZJUQAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image306.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh3gALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwDb AAUAgAAAAAAAAAIyhBFxy+0Po5y02ouz3i8lDobiSJYm5qXqyrbuC8fyTNf2jeexkZ7+DwwKTZ+h 8YhMlgoAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image307.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQAO ABQAgwAAAAAAAAkHCAcGBgcGBwMDAwsJCgkICAoICQsKCggHBwwKCwUEBAYFBQECAwECAwRJEAAj hgGkyA1K+FigcdIREEhCCKSkBAfSct4xb4a43G6g8BJGYMdLBBpAgAA2AwGEiVZAMr1VqVbOlbTd ar9NsFTMJZcBXmk1AgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image308.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEAASAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQAAwAJ AAsAgwAAAAAAAAkHCAcGBgcGBwMDAwsJCgkICAoICQsKCggHBwwKCwUEBAYFBQECAwECAwQtEAAj hgGkgBI6DhpwBASSEIKkBAcivdzxSga4zMCq4AAT3LNEoMETsHi+BC8CADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image309.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQARAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAAO AAkAgwAAAAAAAAgHBwcGBwsKCgkICAMDAwYFBQwKCwoICQsJCgUEBAcGBgECAwECAwECAwQ+EMgp RQiDyGKCkMOBAImBFCKgCEqgTIWwjJKyHBTSUW1CAYGFRsJYvCiGRCrhOkoSH1vwmBglZj8KI8DQ RAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image310.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhUAAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQBM AAMAgAAAAJkAMwINjI+py+0Po5y02ottAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image311.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhTAAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAABI AAMAgAAAAJkAMwINjI+py+0Po5y02otVAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0191_image312.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNgBHAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAgAz AEQAgQAAAABmAJkAMwECAwLnBGKpy+3PAoK0WiPn3fxk3YUOAormQpbnirFuIl2C8D6qM+c1ei/5 P9u1LEBgLcYp6li9ipJ2QpqUURc1JGUVsbstJ2v9fZtT8YZcDp7RIvOF3V5awDX5XJhwV+Bx6Jzf YbeHl6d2RwggCEH3omgDGGg4iOg4gpgoScEY5rcHuVHZsKmVufhJFCpKmBpxSqHnicfaKgQ7WTcb UVsai8ur2ZWr2yjMw/l7e2IkMopqe6a8bNL8cDX9+eRCXWi9sv3UqQ0BTkgtjfcdXn7Zsc0O44oe L//+Nr/jXn+g/8eveY/PXzKBDQoAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

= ; &n= bsp; = ; &n= bsp; [Nishioka-TT 06’, Klebanov-Kutasov-Murugan 07’]

Sfinite

Confineme= nt

/ deconfinement

transition=

Minimal Surface

Disconne= cted Surfaces

In the holographic calculation, two different surfaces

compete and= this leads to the phase transition.

r=3Dr0

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image313.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC+2df5AU5ZnHZ2ZnFl1dJQYr550WDWERjUume37nLhWiiUfqNJLg3Xl1SQmys0BY drndBSFilcdRCaS2dphIocttUFNcxlm3/JFL1KS4lKlYIhZX5R9WRQVj8IyaXHLB8CMy7+zOfZ9v vz0/dkm0p0q6q1ipD/O+b7/9fZ5+3rff9+23Z+Tn//3c3gD/2xXcFVzK1D/9YzBwYSDQsmhFIDAr cHqWlHWCha2XBpYFbl6+7O+v//yy5cYNt9x0y5c/9/kbjU/jWBD8jf5cHI1GAx/4vwtAKVTLh8Va 8MO0KBdUDjXaCwYi+AwFRU1Si4NX4O8rgQpVKk6ExFw4FAwszfZsyg6uXbUy0Pb4Pds+GthR/P2d eWBE373zub/s/rKtGdLnX8Zr1OffEwyFQsu3DAxm1wcCUjcQaAssDHxLjgUq+O/if/uo9qmFn8eh Ix5dHFrSuqRVUheFnjkTCLQyPgsDIUSglg4EJpjuwHn/F+y4ebnEbVl/duX6O3qyxj8v7+sezK4z NsUXR7/a3vbJDRtuH1i5KWvwr65st/HJgTV9d25YuTpr3HW3FKDOwO392Tuy6/qMZNLoWrtqkPWq hXdkV6/tFSUcuf2Ovs23bzaNqC1VLdqiixqqWUY8Oq1iXeHAqpU92dsH12Rvl8Mb+7NG98qegayj s+H2VT1rNzSU3XC9cRf+8NgWI7t51Rotj/zmal6fvGZwSo07u2oFd7e3DQz2bdiQ7TJ6+wYdTbE3 2L/RDtTdxlr5yxZ0DMt14GLrhKVk87QSXOfUOrWSu41p1qfH4qx+fNh3TLDhjgl9iHeoMwZIbw8H L9Ie/BWKl7RK37fL26U8aPf2MO4q3UjtbXcZdpvbPWF9H+7VPkM3ctTo71nbKwVRQ3cEXdDepqv0 ZlfXVWO792ZxVwyuYbjRPNPaQ2xW27bx0zRWdnU1NnXjZ7VCe5vhtPXmaXUGNt5h1N899TecHOta u2mKxpZpjjRoIF9/403V4LF1m2v26/3Sdtdv7LHPq17cui01Y/VOaCN1JyDa9RZw4mD/yt6BnpWD 2aotR4KfiPHdxl1Rw/7Tn101KC0jDZKVMSDb29XeJnOV9IY3Lv3lpR3zli3v/GxX3x3ZztjiqIHe eWOntTja3tbRcevawZ7sp4ybV26A7IaevkEpvAGD5GBfvy6Wkuv7NvZ2re1dfX3f5k/RqAxOQI59 vrfrhr7167O9gwPtbfaRqv/tbatlQEW1gezgjX29kP9kdcYwutf2dnWz0LTsK5Ocgaq61JA/yPav vmNVX09ff3ub0/vEB92bxWB9V5a89FunxMnX9+O+gazIoHm71/b0iCXRaLDU0dW/8s6bcIJhWZZh RlOGZcbxmWlvk4JOKdEeyAHkM4bWHxjs71uXfV/VDNSSjrqoZkQlWVV1rLhSjSWgFnfUoYqCTimp qmorrlTjaIio5ahDFQWdUuKoOlZcqSYsI5NxxCGKfCcKHE3HhivNpGlkkloaksh2Zmoh1RbcKWaM TEwLiyLih7yjqA24UkyljExUC0MR2c5MtKZoG3AXyYQRS6DVExkjFhNNFHRKSfXCIYojrlRN6e9W kr0Un6jNfm5VwykHmHflazpmpNM6CPAU2U7kHUd1MNwpZox0QguLIq4VeUdRG3CliD6SNrUwFDOi aNYUbQNuFGO4j3FptnB7m2Q7U7UBRBtw1Troy6aFW0duHwttLgWdUuK0Du8fy12bx8yEkYppd+En sp2pam933HalCI/QpW1hKCLbmaze5I4BV1eOFjVN9MkUMOGlFHRKiXPlKemXpls/k0Yypd0VP6GR rLaQ47YrxRik4loYijGRiNcUbQOu+qU9AxlWFOOwiX5UnXmcjhSVcdg0XfqZNjhwiLviZ9roTNRa SLvtSjEeN2RIojAUke1MJGqKtgF3iikD/dsWFkV0xER1+nEMuFJMYKmQ0cJQRLYzXrtqbcCdIh7a 0lpYFHE/xqsjm2PAnWLMgCO2sCiin8drfVIbcKcYN+JJLSyKCFw8WVO0DTSlKB9nUbSzTV21ozjl qptUTNdddayxZZq5apO9h8KiaDb0Hm3AbX+Eii2s+2PCrCma7nsPPECwbGG5Z+S2izf0x4TLkQJx T6S0sChiCEvUWkYbcDtSJKNaWI8UyWhN0TbgTtHiqEthUbQaRl1twN34mDGSaS0s4yMm62St92gD 7hRTnGUpLIqphllWG3CnGDdSGS0sirjMVN0YnnI9y8q4n45rYT17pWtx1AbczbBpWffawjLDpuvX vY4Bd4oJI5PSwqKI2S9TN2enXa8lY3wai2tlkbQaHp8cE+7WVBmZrR1tWVVl7Fm6Kmq5f3qKyQrI iop6/bO+vS6Qg51ytLrMyjSxLjCxzkIMtSVRlXWWVev6jhV3K2FEI5Z21GUtLL7F6lS1FXeq8FEm DVtdVMW3umnDseJOFT7KgGeri6r4VjfkOVbcPl2YMqDY6vr5wqwbUhwr7lSxJkxHHXVRlbVgOtrw kGEm3T4Joc9mTEddVKWvZmoPQ44Vd09saS5Vtbo8s+FWlZKqqrbiThWKZtpRF1X4JiXVBzdtxZ0q rh5PzlpdVDFQSUlVVVtxuwdgod9odb0LYNX6a9WKO9W4YSUtR11UMUxLSf3jteW2v6bQqzDWa3VR xdLBqk0vVSvu9lWSaOaUoy47K7iXrNrwXbXiTtXisKTVRRU9KVZ7NqxacaOKm8a0MrLMNWO4B5Dt lLyzASljQMzlHWDv1Dj+yo6N3qGp+qn9dqOakYE6pd1tb8tweK4G1HHb1bO2vfejlVHZ2fLRmo4J V5oyD1oJZ39Jdn+5c1G9+6v7TO5UMe5ZcUddVGW8s6pTd9WKK1V7d8VRR21nV6Wqqq24Uk2anLv1 Hg5qJ82G+bq6l+NOVdYZaUddVDnrV8e/qhVXqvYui6OO2s7uSlVVW3G3hyNqCWcvR/ZwqFLrA86e jivVjO5Vtjpqc3Yya33AseLqXrV3Wxx13KvOLouj6liZohqdrnqWorpXIzf0bexfm+2vfzESO9uL Efq2fLB/be9qI7oY3tg7TA07VovkwDWGvMU+1w5Ju/KekV1JK9ZwvyySw564hQkFwzcnRRmv6wLl UZSMlN65TZnTQuSFS53iE6bNVJJdCZ9Vjzo9dEnuLTxl427GZycSDV551MVjCW4lsPm4p9DYfjGv 3LKX1OKVvYRu9MobpzDlWjEdK0lM8cryKFaIU9p5dZKedgdaHnV3Ti2YcpJ2d7eiDTdhNFH/rP/+ LtYmsbi8GDfQbeNYGMRlK7q2OZBg7v0nr/qJFtGLWfYn14XsbTGrNiVaZ10Y/lnVWDJKVX6KqiTq Ve28S1VZWYsGP0WVS+06VTvvVlVejIqqpVfGkmhQtZLuVdEM3H3Sr9mlneo3n87+kv3P+xlP237K J/2UXdp6P5lvwk9pqIR8aD/rmilhZ131KFwXe5R82k8a8cYexXwTfibZ7c2k7vdmsqHjm0l3PT+W SOtL1/GUROPFNxnPdIp+plPaz3Sqwc90Uy0U13fSlBaKR5vy0TLlewbyYStatfV6LGFnXcUyZt9D /GQsY433kJ1vws94jH7GY9rPeKzBz3jMrWJK3nAZsjISvVSyXi6VdO1fyqR/KVP7lzIb/EuZ7uJo 2vcOPxlHs/HesfNNxDGToZ/yVRr6mck0+Dn9qzTR93uJSz/lk37GU41+Mu/eT3mXLisyS7dPzGpo oJjlroUsPbtZzuxmTZndrGZmN06/HNtjCT22xxINY3ss4W5sz8TopnyIl5lYg5PMuvQxbV94Wl93 uvGy001ctYwJjCUfCiWWZqIxlsy7VNULBWedMGWZkGxudOMbYr7O5foo3bA+Srvr6VG7afhpVV8c 1PX0aBOtI3vCjCXXrSm9FV0fS3sd6/rKk5zKk3omTzZM5El387i8IOOVW7q9+cas/sqtRHP3TjJq L2L1rZOM1k9mLtevMi2abG5uaXE6NBsa/CwbWn9+/aL7uen0c3NKPzfN5q7bTHEuM1N6LjNTDXOZ mXI3l5l6NWw6q2FzymrYbGY1LHOFZc8VljNXWI1zheVurojbbsa1l/FGJ+NN+pi21y9pZ/2Sbly/ pN2tX2QTibGM6flMEg2xjDU5n9mParFqZ298WIu57O0pe9hI6VEj1ThopJoYM+TdDEeilB6B+bKm fiRKRZt/qrBH9+mPFc4w71Izw2BmdCwzDaHMuIukpVvcclrcmtLiVjMtbupomk40TTuaef2Ljo+1 XN5S61NNRtaK2mvOqLPmjDauOaPu1pymnotMZy4yp8xFZpNzUczkZIQP3ffNhulIsq781M/ppvOc bk55TjebfU7nl97kQ3fUeMOa04y7XHPqFYPlrBisKSsGq5kVg6mf/k3n6d+c8vRvNvn0byX4tGol 9LOllWh4WrUSTc3v0u7J6RM82336c3p7W2C2/oXf5YGPBvijJf58rz87MNjXjxo76n8Z+EF/o+X8 HNJcHI06fPDfbVYqFf2brfCHaNH53WaFP8i07UX4W7DWoKhdCtIR+5ecz5yRX4otaXXOfeZMM37J r9be/5drTiTEo5pnrfrXm2Ee72gJBTa39KjbWgbVufYkrD1prXqyu2WNEm+8j8l4ywol3ngfk2db blPijfcxOd5ykxJvvI/JnPASJd54H5N4OK7EG+9jcmt4kRJvvI9JuWVp5eLwyUnvY/J88Gn1MPA+ Jj1hQ0kLeR+T7eE5SrzxwRgbDivxxvuYHA6fLIk33sdkRWi/iofGfRCT34bfLElcvI9JOPJSSbzx PiZHQ7vUM6HdPugnfxE5XJK4eB+T6yLPlMQb72Mia9h4y1Yf3DtLI+MliYsPxpPIaEm88T4mPZFd JfHGB887ke0l8cb7mNwTuack3ngfk+2RrSXxxvuY7IhsLok33sWklZ4E6YkP1muIhReenK2P3ONJ y0yPyVbcM9s96K1nG0uGSls9uIOnx2RD5P6SeON9TNZE9pfEG+9jsiLyeEm88cHaBKsB8cb7mNwU ebF0my/WJp+LvFkSb7yPSTpSLok33sfkushsJd54HxMjskiJN97HZE7kc0q88T4mF0RWKPHGB3ts 4a1KvPE+JsfDDyrxxvuYvBl+Rok33sfkpfA7SrzxPibPhy8uizfex+RAOF4Wb/yw77iiLN54H5PR 8K6yeON9THaFD5TFGx88E4dPlsUb72MyGF40Id54H5OucNeEeON9TG4Nj06INz7YYwu/PCHeeB+T dPjKSfHG+5gsCndNijc+2J8OPz4p3ngfk9nBZ9XTged9MBfLO1GJiw/G2OABJXHxPibydla88T4m 7wR/oJ73xbvicOhxJd54HxN5Eyne+GDvMfSgknej3sdkf+h+Jd54HxN5EyneeB+Tk6EhJe9GfTDG tuxQ4o0P7p2WrUq8+RP/VkNQ/yQ5cObytusC//an/q2G1in/5kKr6+8xOlf1wa+s8f92X4vxh2f5 bP/yhRPR+m9Sfo3fpAwFrgpcHlgYkHfOwgulxYFDpSg5SGLkCaQdHkOdx1D3UTBeWkgeLXWg7OPk idJ8YJCDSB9EmXAIdQ6h7gslsdfBvH1sPnmC53aQx6gpNhbTXr1926/F5BB9Fs0Ops9te0bOQU86 W3vW+tHZvhn7BUT378jB0hfI4XMemVqPO7eRqbXI2Xv6asSil7xQ6kOP+RdykAySJ5B2eAx1HkPd R8F4aTV5tNSNsi7yRGkVWEkOIn0QZcIh1DmEui+UxF438/axVeQJnttNHqOm2OijvXr7tl995BB9 Fs1uD3q6n0aur+qefl1gO6KbIy+AQ6U8OVj6NthNDiB9AGXCj1FH+BF4qrSdPAkeA4/iuDBe2kYO oEz4MfiRPkfOtbW+TQ7SVo4cog/bySFwEBrCIZ2X8sPn9fhUfxeWguMqGBLGVChUxLpYKJBZJI+0 Qw51cqg7DIZUKSgMqzPBnPojyavT4CQpIF1AmVBEnSLqjimxd4Z5+9hpkue5Z0iOmmIjRHv19m2/ QqRIn0VT9M7nUbU231yFlpxLCuoqMq7O5/GpU0dmTiCBSCwlY2oJ+Az6z2fQh/+aDKtPoa8lSB7p PPNS/mmSA0UwhuPCuY+qn8aP2qh/GyKxioyBosqSguoGa8go0qMoE/aijjAC7lO3kT0gB4ZxXBhS /0BGUSbsBSP6HDnX1uomBdpaRYr04TZSBAVoCEWdl/JxNbP2skf9rwfeVP9K3lDbAsfUdvI6+SY5 hLTDQdQ5iLrPgWfV18lzagvK7iSH1CYwSF5H+nWUCcdQ5xjqvqHE3hbm7WObyCGeu4UcpKbY2EZ7 9fZtv7aRY/RZNEVv5qnRbs9rMauaZExZmA3jpEBSJI+0Qw51cqg7DIbUtWRYXYOyq0leLQQLSAHp AsqEIuoUUXdMib1rmLePLSR5nnsNyVFTbFi0V2/f9ssiRfosmtd4MIv786nxZkT3FlJQN5Pze+Sq zeJZRGIzGVMbQB/6TB/67zoyrL6GvpYleaTzzEv5epIDRTCG48L5vTaqWzUGIpMJ0jJ5FYlMzjwf 2SPrjYHZk18kl4D2yWXkoskvgeXk1MSXwDJyYuKL5A/g+MSN5A/gxMQN5BT5LLlo8oYq7ZM3kksm xZ6drj9un3cjOUFN24bYsm1/iVxE375I2umzrdk+OfN8JD19LaK7jlw0uZbMnpx5PpKRdRsisZtc MjlE2sHxiW+SP4ATE9vIKaRPMS/lO8G3kP4W6u/EedvI7MmZmVz6WzBwReUK8rFKkFxRmXkG0WvW wIKKReaDeZU4mVtJgBS5EOkLUSbMQh2hFYQr15JWMKtyNbmQdJC5SDvMQx1hfkXs2en64/Z515JZ 1LRtiC3bdoLMpW8WmUefbc15lZk1BNesiO4tZG7lZrKgcj6PAbWRtRuR2EzmVzaQeSBcWUdawaxK N7kQ6QuZl/L1oBfpXtRfj/O6yYLzevyo7TztRCTuJfMruxGhPWQuGSFzkHa4DHUuQ92PgEsrO8GO wCVgFtKtOC6EK98gc1AuXIZjH+E5u3l+vZ5tZzeZRx92gh1I70DZN8g85nfy2ILKzE6FPer3RsbV RjKmNkWKajMpkLtIHmmHHOrkUHcYDKlegic5lK0jeMIDa0gB6QLKBDzlgV7YEHvrmbePfY3kee56 kqOm2NhEe/X2bb82kSJ9Fk3Rm1nfyKifR3TvJQWVJ+f3TsU3dWQ+GxhHJJ4kY+op9JcfkQI5QB5A WtgHRlFnFHWFvUiPoEy4D+xBXSGPtEMOdXKoOwyG1DgZVo+grEjySOeZH2edYdZ/qkFjD/WfIiO0 +wSx/XiK7NP+PVD1/SlS5HWNg0eQfgRlRVJkfpzHzu/dldpMdRiR+DkZA0X1CimoV8FRMor0KMqE vagjjID71GGyB+TAMI4LQ+oFMooyYS8Y0efIubbWq6RAWz8nRfpwmBRBARpCUeel/Px+s1U/U+0L j6v/IGPqe+GiepgUyCMkj7RDDnVyqDsMhtQ+Mqy+g7J/J3m1F9xPCkgXUCYUUaeIumNK7H2HefvY XpLnud8hOWqKje/RXr1926/vkSJ9Fk3Rm9n5kZnqp4juz0hB/ZSc3+NTbaY6iki8RcbU2+gvvyYF 8lvyANLCPjCKOqOoK+xFegRlwn1gD+oKeaQdcqiTQ91hMKSOkmF1BGWvkDzSeeaPss4w67/doLGH +m+TEdo9Rmw/3ib7tH8PVH1/mxR5XUfBEaSPoOwVUmT+KI/NjHnOmPdky7j6LzKmftJSVM+QAvkZ ySPtkEOdHOoOgyH1JBlWP0TZf5K8+j54nBSQLqBMKKIOVhCwIfZ+yLx97Pskz3N/SHLUFBs/ob16 +7ZfPyFF+iyaojcz5smY9wqie4Sgx5Pze8y7V0fmbwPvIhLhsLBfBUkRjKmT6D8n0H9OIFonwWmy X/0RnCHfBQ8pRR5Q5ZZ9apKMqgoIhoW9YATaQh5phxzq5FB3GAxBUxiGfg62hDzs5tW7ZDfSu5mX 8tMkx/pyvuhUWuq1R2i30rKXfog/ZbKPfp4hD9H/P5L9vK6TpMDrfZfMfLPJXrXPQe+YS8ZAUc0j BTUfLCCjSI+iTNiLOsIIuE/NIXtADgzjuDCkLiOjKBP2ghF9jpxra80nBdqaS4r0YQ4pggI0hKLO S/nMN5ucGeyN0Lj6NRlTvwkV1W9Jgfye5JF2yKFODnWHwZB6gwyrYyh7neTVL8BRUkC6gDKhiDpF 1B1TYu8Y8/axX5A8zz1GctQUG7+hvXr7tl+/IUX6LJqiN/NWQWawCMajWaSgIuT8Hp9qM9hViESU 7FedBH0Gs5cB5iI9F9EywHyyX30cdJDvgofU1eQBtQgzxLVkVH0CdJK9YATaQh5phxzq5FB3GAxB UxiGfg62hDzs5tVVZDfSu5mX8vkkx/py/ieoVa89QrufIKP0ZxHZRz87yEP0/+NkP6/LIAVe71Vk fGb1p989/658BfnfcpD8rjzzFsJ59/xe2SKnwalynJwoJ0CKvIb0aygTjqCO8Cp4uXwteRUcKV9N XiMd5ATSDqdQRzhdFnt2uv64fd615Ag1bRtiy7adICfom0VO0Wdb81R55i2E/e75vfIt5ET5ZvJe eWY9ZPf0dYjFADkNTpU3khPlTWAzeQ3p11AmHEEd4VXwcnkdeRUcKa8hr5FucgJph1OoI5wuiz07 XX/cPm8dOUJN24bYsm1vIifo2wA5RZ9tzVPlmXcJ9lvv98r3ktPl3YjKHnKCjJB3kHZ4C3XeQt1f gf8p7wQ7Am+AI0i/iuPCy+VvkHdQLryFY7/iObt5fr2ebWc3OUUfdoIdSO9A2TfIKeZ38ti5uAvD f+JucH6v/mBgRWkInGtPWqvt6HgSaHlRBVoOKB/EJPKiejBy7j2ZHpOLwy+qi8N+iMkOtM6OFj/E BD1Wocf6ICa/REx+6ZOYvIiYvOiHeyeIeyfoj5gsKQ8B72NyP8aT+yP+iMk4YjLui3kH/STgj5hc OTEEvI/JEvSTJT7pJ0OIydCEH/rJcaxPjpf8EJMyYlL2QUzewargnbA/+knP5BDwPiY9uHd6fHLv vIyYvOyDmOxCP9nlk36ytDIEvI/JINYng75YnyyFJ0uDfljbfwXr2K/4Yh17HKuC4wFfPAMG7sG8 c48P5p0DuIsP+OIZsAuedPlkPHkarfN0yfuYzMG8M8cn886KyoMe7OSc7d65H0+j9/sgJocxxh4O +mM8GcST12DZ+5hsDb2otob8EZNbsaK+dcL7mDyLeedZn8w7cawe45Pex2QB+skCn/ST2Vg9zq54 H5MrMZ5c6YvxJI25OB32y96j7Jj7oZ8swryzyAcx+QFW1D/wxbuMh3EXPxzyRz95EzPgmz7Ye3wJ MXnJJzF5EKP9gz7YK3gPI9t7Ptm3vwD95AIf9JPrcBdf54vn4mXosct8Mhc/izXbsxP+eN4ZAvbx QNVTOx9q+HddF7YupCctVPx/JwPDQ2bAAAD= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image314.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhwwDDAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQDB AMEAgQAAAAAAAP8AAP///wL/nI+py+0Po5y02ouz3rz7D4biSJbmiabqyrbuC8fyTNf2jef6zvf+ DwwKh8Si8YhMKpfMpvMJjUqn1Kr1is2KAgGt99L9iiXhsblRPvMEK666x2al3zZBXE7Hse/tfH3A 1+c3YxfYMTfglsiFOLhiZ2C4wZhAydjoiHInOZlY6XmZ2bI50jVneqAoqsnHOalqYEm5WlKY4KqC ScvBiZuiu4sBueD7G+wxzFCMAnwckaxMA+tMAd2wzExdYX1t06x9wO2AnQ0+Th55831sa4F+sk4r LvFuMk3dLpwT7ze/vY/P3z+Au/Ih08Hvi0AN9cr1MxiiocMzhSQOxHFPC8QT/xbhidmYoqO9LBVj iBxJpSSNkyUSBlF5gyUJlzkqgqwhc+aEUKn48YwVZhaxQj8X+Zwma51QoAGWLTUKFURGBqZO7Xwa dBpMo6d8eqpUVelXBFMVoAIbVerORZ/IYAVkp+lWsli9di0jFlHZT43wbrkK6ykaWQKSRgjlRvDg u2kd1I33uLEHmhds3pSSs6Uwy5wvk+ShKE2ZwhXlEiWLOlXbWKlVu2bdeizs2bJli15tG0Hh2Lfp zgwdznRu3sSL0x5+vPdr5LSVN4+9e7lztqVAXbqOPbv27dy7e/8OPrz48dt1BjVXGTRw9NWEUAaX GSV7eu7n0w+y1364Ie/x8f/XD0F88gFIDBH9sWMggdEkqKACAtpzYEFFRLjKgx41qJsRFGZi4YUY AnLEho502JKI/SBhYh4kDqjgipph6OKLDcaoE4xJpPgGjVvgSJESPJqhY3Uz+mjjjUMS2aJ6gWV3 JEJLaddkDVD2FNqPCvWAWFjXJbmElV4EWSOAYAqp35hk2mdmCPk5k6aaBLaplphNeIkFnHGi6QSd V9g5mZ5W8DlZmU/4mdKgguaJp6HzAfoBoZgN6mgUjAbK3qSUomfpIYtGEakTmWqKqRSdNvHpK5WK Giqq5pTKwahLsNrJqijqdZY2sEJQV20IoqirYhIamFivugZz6wOPuYpEsRquIHuEshkwa4SzGEBb hLRg2FrFmidmiy23/nm7K7jEXkGtENaCUe5L5H4rrjxYpPvDudOy+S69645LLrxwZKHvGvyGa0W/ O8g7L773/hqwwDVpobAeDBt8cIUPIxyxKASDtaSWEIeYa1EczoodWlVRDPLIU0o8Mcr/upvyx140 jNPLMK/0xcwfknHzrDnvzHPPPv8MdNBCD0100UYfjXTSSi/NdNNOPw111FJPPUgBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image315.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhsAAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQCs AAIAgAAAAAD/AAIQjI+py+0Po5y02ouz3rzfAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image316.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFAAtAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAS ACoAgQAAAAAAAIAAgAECAwJehG8RyB0iVnMQyplqvVTv+XgaB4TieJgnWirq6HLvB65kamOzpef1 ecsAe8OfKFjydY5EptGD3EWaUCprWX1eGdKokvtFdK007DbWjSVX2TV7Kn4Hx2QkrowR2h3IAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image317.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhUgA2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQBM AC8AgAAAAP8AAAKKRICpy+0Powv0yIuzRtXuD35dSJZQ55mqOa5u2b6yhs42Ft/6VO0+k/v9gkJd rTjsIZOUpe/ovBGjrylVBb1WlVqZtRv6gkHiMa1sxnHTsDWbjH6f3PJNvN7I4jP3/aLvx0EXGAEY qEc415SotshYaOgXKTn4+FdpqRCTkimI2GnwCSpqicI5aloAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image318.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKAAdAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEABgAi ABYAgAAAAAD/AAI4hI+pixEMI3D0ydsq3rNaHnkfuGgTCZkoo66K57JUXM70a99Hq8P6nvvxekGi 4wcs3oY0JhGZKAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image319.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSQBbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABH AFkAgQAAAAAAAJkzAP8AAAL/hG+Cy+0PI1Sy2nsp3nzrDobNJ5YhaaYYqrYR68YMLNcAbcd43u58 6vuVgsJTMUc8cpLKVVPGfFai0le1d1VRsyOuSTAIe0HhsnnsCCzMbDYaEFAjKO26OBuXJxr2ejOv dyPR1/YDqBdFeGYTKBiieNfSuMUHmTJZYwmCyaPIwVlEeAHa1CdBKmWatkAZY9eA6lW4EDs2a1CL 5obL+uZQdpDrCwzX61s5wDt3jKx80BpKLCy7WLzMDLDrvHd8u+2oq40wffQKa3xlvnr9pA5B7uoe AZ+iikH/KH+P3iJagl/B3yV+HTzFALhGoAyEBg0RRGavSC5NUlA1xNPrIpdDPAcUogGEwBu2PHOS YYOFcExKZtDGtPTykkvMLDOv1KxyU0rOJzub9FTy80jQIkOFFP1xlEdSJCczNGVQAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image320.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhWAAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQBU AAMAgAAAAAD/AAINjI+py+0Po5y02otzLgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image321.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhWAAEAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQBU AAMAgAAAAAD/AAINjI+py+0Po5y02otzLgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image322.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCgBcAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAI AFgAgQAAAAAAAJkzAAECAwJnlIBpqcewXmSzPehotnKj+nlYEoRIUI4AWi5se7zBlNLmea95nfHk DlTphD4cMWg7KpPMHtK5hDZ/UerUeB1mi1qp1/rFhrvgsthMPqvTXdks9nKxVPMI6nkBCTmavEgP +CfoR/hQAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image323.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhAgALAXcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAB AAgBgAAAAAAAAAIljAN5qJewXmxGOsrg1RXbzmXPSJbmiabqmk7hl7nyNoN1TOdGAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image324.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wHCAkY0TxDKPZ2QAMpjnAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqYDjA8YhIAsNTZ+BimG/yDFDAJA/gEg6xgQLwCy24CGcUPV8DD4JpZkhFQWpDIw GIDt/s3U8A/iwglgW1mYGARCMnNTixX8UssVgvJzE/MYVqx6X74RiBUMPpYrS6e9ZAGq0wUq5gDS RlwJjHoMIJ05lVxQW7jALmEEmwqxQwisFmQHkGhgZGJiCq4sLknNZWAAmccA1KHI0AXWANIp8EWY AWIHI5j+AJRhBusHADbxi2tQAQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image325.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFQAfAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgAH ABIAgwAAAAwKMAsJPQsKNwoIRwgHVQYFXgcGWAkHUgsJQgkITgAAZgMDYwUEYAECAwECAwQ5EMhA ipFg6YMBWkR3LEG3XBixIF2xCB3DdMnCYV+INSQ2nB3FqmNYDDCBxQwGUB0SBclIwZK4opgIADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image326.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wHCAkY0TxDKPZ2QAMpjnAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqYDjA8YhIAsNTZ+BimG/yDFDAJA/gEg6xgQLwCy24CGcUPV8DD4JpZkhFQWpDIw GIDt/s3U8A/iwglgW1mYGARCMnNTixX8UssVgvJzE/MYVqx6X74RiBUMPpa/lE/zYQGq0wUq5gDS RlwJjHoMIJ05lVxQW7jALmEEmwqxQwisFmQHkGhgZGJiCq4sLknNZWAAmccA1KHI0AXWANL55Jkw A8QORjD9ASjDDNYPAMK/wV5QAQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image327.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFgAfAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABgAH ABIAgwAAAAwKMAsJPQsKNwoIRwgHVQYFXgcGWAkHUgsJQgkITgAAZgMDYwUEYAECAwECAwQ5EMhA ipFg6YMBWkR3LEG3XBixIF2xCB3DdMnCYV+INSQ2nB3FqmNYDDCBxQwGUB0SBclIwZK4opgIADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image328.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFgAeAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABgAI ABIAgwAAAAsKNwwKMAsJQgkHUgYFXgcGWwkITggHVQcGWAoISwoIRwAAZgMDYwECAwECAwQ5EEgw SAnTMNamPAziAQkzjNs4MMmIMMrYMIIXMMVIMMRYMJiJgDNShEaakye1mCxYlcnr0JvsRJ4IADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image329.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHABnAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAa AGQAgAAAAAAAAAJ5hI+pGOvfnkxx2mphvnviToGaqHykYZ6puLJn+TKxPKM10IL5tvM3futlhJwa 0fM7jozJYNPJhEanMeVyZl1ktU/qawuTYsXV7pisMpfRae9X/WaTwDR32z6H5+Uuvk7fhxd4Jvjn 53OIWNhBV0e4tqj4CDkZV3lSAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0177_image330.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhIQAKAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAwAd AAUAgAAAAAAAAAIThI+pF8ENo5wU0Ivl2hzyvzhHAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0193.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•In this way we learned that the entangle= ment entropy plays

•a role of order parameter of confinement/deconfinement

•transition.

•

•Our holographic analysis is convenient because we can

•detect the phase transition only from the analysis of zero

•temperature supergravity solution.

•

•Klebanov-Kutasov-Murgan 07’ showed that this

•phenomenon is rather gener= al for other holographic

•solutions dual to confining gauge theories such as

•the Klebanov-Strassler solution.

• = ; &n= bsp; [For global AdS, see Pando-Zayas et.al.08’]

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0203.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Lattice Simulation [Buividovich-Polikarpov 08’]

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0203_image331.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC+1dCXwT1dbPTJLeaRUQF1BUGFA2obRJt7QIyCoqCLIjIpY2pYXSlCal1FJBRDZl l80qyuKT97k/8YHPXVbZRJRFQXYLuLElM5M2mX7/OzNppqUtBRT8/cr3vj/3nnPPcu+5556ZTCdx 7/aNLxuU/5OYnWx3pTemH2MINRiMM6YaDMQgEMoLB5qF1DH0NvTs27t/p669+/Kde/Xo1adL1258 O4wxwP1a2yYyMtJQ7f/jgCI2SJuoN+bv9EgX5GPL+mMMZrQsQ63RXhvmDvx7F1DMlpSoknPoIGNi GUN3e/pYuystKdEQNmzipFsMq/7vdM4HAB95NufDu1MiVJuspn+zskZNfyLDsmzfXKfLPtpgoLIG Q5ihmWEGHTOU4P9ufO4WbU5GpT0DO3RGN7IP3HCY0N4NrHR+syFEiU8zA4sIBPsGg6z0mxrOMWeY pj370rj1zrInjh6ebueH9HWkuOyj+LHRbSKH1gqLyMwc5kwca+eVf5LtKXyEM9WRk5k4ws7n5VMG ZJzDsuzD7aMcfGwsn5yW5FLkSpnD7SPSMqgljAwb7hg3bJyFj4lUbZXycgO8MoJWPiYmuryklY+L 09SdSYnp9mGuVPswOpydZedTEtOd9oCdzGFJ6WmZZXidO/F5+J8ylsvbxyWlauZBjyulNeVUVzmJ nOQgI79WmNPlyMy0J/MZDlfAJvXnyspWQ5XPp9F/VIMBx3QdWK3OMOWMu4CDdZaXCXLy+Qu8XxiL Cufxd58ZpsyZYf/GMxqoAjTfTcwN2gzuNNlKVnE0+1V+Lcpn1Hw34Vxpm1QrLI9X91zNhNEOnFYH r21yJJ+VnpZBGZG8lggao1aYJpJhH6ETU/Y9w45z4UpVwo3tuWA/qM/SvS3bWvjE5OSyW122LRWo FcYH9nrcBTLO7OG8/vTojxwdS04bW85G7gUTKWMDtP7glbehjI0aF/Svn5fmd3R2uqpXurhRuUFn +kloTnQKiLbeAxRdWYkZzvREl73UV8CE0iLG+XxeJK/+L8ue5KI7QzfETmuAPSO5Vhi9WtFsOFrn cJ2mjXv3De+Y7BhuD7e2iQxr2rRfmivdnsBHjLYnpyVGJKc5R0V0zs7Ksme4ujiSnBFoEzNGpNtH oxPRNzM11zlsrHNYutLp3a+NPdMJG51RS12OrAR+REZ2ZjpOZ3QbhDfRlZSabh9rT+cjAzJpjowu WEoC3w8HtWNmFm+18paohChLQkw8b42MtEEQbrOpt26ODJczgW8B+Yzklhjo5MjOSE7LGNHJMS6B 1k76/yiWqI0Y7JWVRqdKPSTwPRIzkhGdTDsGeqNwlzHTNSO5s2M09UCn3onW6t5ZjnTHiLAITF+p 5taYYFkPCzCVqh7WNKwp3y8VZdeRnu7IwWz4WKXsRKg1NyU9cYSTH52YC3EeEXWhXA3P5VMxIVqS suxjstOy7MmakeyMNBdPDxSfk5aMc0T1YIZeQfgk6IygkijhmF1WaXFDYU1PTBrlso9zBQt9WERf R3pasp7RJdGJ8GeMgF2LyikNi85WD7pBFr1eHxpmexlT/WgOZibSpOid6HLZszKc+mFEiC5CXUMM rWkqP9tpzwoOlJGi41jZWGdqWoqLD7dpGsmYSh7OmSWyTSSvWwA9IQBGArPL45PULA3ajGwTFxM8 S9mZOA84H6h6DnTbRFoCV4W0lLD8gDvrX+CO1im91dRM1zA+ytImRiXHliUxyisSgUF+bIDS9gJ3 GXnYzy406SyRwUR0KjdIChmRmZwyOjFrFD8qw5GToV4QMVsa8LLjep2kdHtilsuh8EfYXXxmtitM mbfqSslvfgitckpN4Ftcfk1oSa30zR4+EvWIbxGoCvQfZUSrF8GR8vVCkeqY7UqlQpm4EUvHyQUL BzU5O8ke1FTZj9hzcxxZyU6+RdC8Vmr4FpWVGkW0S6/ODz3arRevxSsMNSIsUDyVs/6gNkO1RPAD 7FlOWFYm3KJj9ohsp4sai21Js7knn6deVfP54WkZydoB4/PUS6ae2YfPy7pQdAC4F8o+yucFrrMX qjzO5yWlO5x2Oqznd+bznHZX1ojhSbR26EdSSp3wKWnp6fohJKKVZiOvXpIC6Wql+arn9aA3xHCs pkSmIy3DxTtdWY5Rdr4nDp12qPvwYaHBSpU3QrmfjuQxrRFZqHOKjRFZdtzUZdmR8ZQORF47SH2q 8kMPOAhUYPU40lNOb1EC3q/UeedLdR5uVe4U/rLV9+/N51E/SnmgsVeKRekdcmopO1XHpjl94Zbx FWyt5qUL8lO9vugThlevJnl0XUOGKnVTmXsyamR+mMoPILioqpTKrq0TvGrBLHuR0G6G7ME6GxZa WoMtgYGR2A2+lMIVjZrXTHes3DTdnisx3b+HuiNlrmTKFpT1VLoZoVTawqe71KBYlJigpKs6yem6 TzeKg96Vzf0KZt2U72JPSczGHHrQGw1le504w51zqL6FTko91J2Ha/eRpYzE8oxIqqJnWKiERcew qipBo1GqSpARraoEGTHqPII2Ysu7jVNstInSsWyQwRVVQ4Ur7ZebaacL7YeFIrBDhqoBopkaMNMP S+6kDNHVd+lRysfKkUdDLDzdJLpb1kBvaDCneRqhMlVW044MOKQR01m1qHx8vsdVHumYbqUiFr2I VRWxKiJRARGrXiRKFbEoIspthSoUpReKVoVig654S1m30XrxGFU8KuhWEy+dQoxePFY/S9W62o8N iMfqxeP0M1bFq5hYnF7VVpmnyvrRATO2oJneKN2BczVEv4FqVdafG+UCFskPCJT6YIlWq2VaYsWW rDhYmblKhaW3gz1Rh2kFVi5IWjtA4ZRSmgSlB5SRHcCXXtG1WUAUSwgsJt1Z8RSoLr3zVS7BtNxT FxVeviqYXB9euWoEVx7GB0q1Y1yVS1ZKWKrmWyH0QdCmUrp+1YVugqmB4ciLLbxzViULr3oGqdqV LzCJKiISmEgfnVIgHvmBT0Jp/S+aAZY2FmvpJ4Py0Q63tIlVRwMpoFKRpXRAMihYdWD6uhJx9db8 6z/r01RB1IIb2e1yAni5W6jeXZZGrVvlWft3xqvsLLpUf++Uo1Sph4tMJby6e0fnVJ3I/A2z0UUG Za2KSfyVBU3ntLe9srKsbYdSnWE1+AQsUrHbE0U+L87KZzlcQSZqfZY9E5/7aNErF/HSKq4vo/QJ UxVXhSvzS5dZ/trROS0riT6PqHzFWgQj+ajYSD4xKykwfV0NVGxUMu+yurpI0/s29TbnghhrT4Hp NsVH8tExim6ZD5KWi+iGhepOTyS1Qr2XDUVY6Ngyc6v4I6v1UjzBj8V2+b6iLm1VV+Iq+lJcUUfW uMt3FnM5u1XKvJIJlZlG7CVu5ZUsOe7SlnwlrmyX4oo6usDcJTiLv1Rn2um9LGeWykvEhZWiqpX9 bSfWYvlrjuzft2EW66We9CvyFvWXFOa/cYLRl1gEquWsrIvKy10lM6z+/PvYk4IPXqN5etnHNV07 BRYecvZxZf5sqtw4a2RYaPm/llbgoe+Y7ETckyiPlOBNP9TJqY2NLX9XriesvGqijNGLXuuVO/fS mUFWc1bGiqXKwGozV+5yKtKu/CBUuI6L2ou6NHvqk066gZVajL7EGVKiOjONuVgZLWckLPTK/MVe 5jqUKFUZobi/wnKZI36xtdiqzLnqRiS+WlYuvv4qroiVTae6OR4WWqFDy6U61H/Wv4QDUYl76+Vt eDUOmyXqrzB9Sblkif5LXV5e2ari8hQo8JXpdokM/M0o+Ck0Oib40TOSR6G/4BmlTt9yUX1LlfrW i+pbq9SPuqh+VJX60RfVj65SP+ai+jFV6sdeVD+2Sv24i+rHValvu6i+rUr9+Ivqx1edPxdPQMtF MrAaKVh1DlounoSWqrPQcvE0tFSdh5aLJ6Kl6ky0XDwVLVXnYlpi16vzdK7Mo+5OjnFdr+bz4gue s3e9Nk+My8+jS9dr83y2zDzo48quf9vjyor/2EUfNlbis5InlZpir8zEMdn2QNYH3ZT+/bXs81Hd GwS6z0mB1B/4d6a+NtPyeT/w78/7ijzTpB94NZO+kkl0GXg1M76iSdB0H/gXp3sZPxXl+sBq5nol SdON5rSW8/QGspJsD2S2PcOZ5spVXtuLoKrJ9gz9WzzanykD7xYor7U50jvp3pAH+WBZsk+Z14AU hvJPwDyNd6BPt6/0FWtN/EFe+ae64p145Z/qiAfm8qCqcuFLE4gfRsqHsLcjPbeb7i9GGhkQCcSw bDUpF+jU4Ptu5VvVSrndKb3u0rf/ejucrr5JWWk0lZQ3Ey289gKsslQkW7aLvmuS4shS3r1WXot0 QrG/M3GEPYEfx+fyOTwKLJ/IDxoU0KWqYU1Dx7XO5dvx6Y4cexafbk9x4ZNBVgb6jhR+uGMc71Je A6azo28Bh+a0ToW0+joQfZs41Z42ItWlCWOch4t2vDIBPi0DK8CS7E6YcOXYsSN0yU5FcVx44rg0 J9XAjNrxkREWZfoZjohcSCRlOZzO8FT6LiZ9pVE340DUI3p3S+SH8PGBR2JDtT2m7EjlxVLasyo9 9Z0rmgeUZykdjSo3WnqYNTuqtvZGXVBBx7CWs4V0ga7uhY4KrjP0zfjg0dK/yRtz4Wtn9G3Tbk6d L/qYjkoFfQY4dAXOMVkuLRD0lq6nIhajiGkViVrTFkAV9UumL0QFnEWrpiGlHqCUdAd2J0n/WX9s WlhoXlBWLbH0tQ9qY0A+3U7FKBWJVUSQonlhodVwU6Fp+oqOstU9FfXIUh/K28N8xSUVyZOObMzG OVBf6s1JtWfZtXcHy4zk83mW0ndu4SzdhTlEPJSBxMvMsru0t6IDr6znVzSoNcqw/u1d3flVJ6G8 ZqycXyU1oJCWkUbfFXbSCStmrGVyHhfEtHS7bRw+j+EwpGW46GtlMBM4GQppoa9MI3VGBKhO9K2Z ITQRbLxtKB8xqK/Lnol+xGC1g0UE7+8fsdsztVcwy1V9fkjADY8Lxti0JHufBzsNpXmqvsaXmZik r1j3389rkw3j1cn2znIkqW/K6XNbe22T5gymx/dQpkn7kegHLmth7dvzoxNdWWnj0Iyya2FTKkLw m1t/pUuan9HKZZyO29D2ACIV2ejgxKqYl/WK5kVn1CMs1Ka5Vx3Tf5W/pFfhNuoy3YZHazFAp4dy Oq0gLVb9NlThNvry3arbAE+K2/Bo1a2tWm5jLtetVVltdNnVqosHV117ZDXXHnv5k4hUJlFm7Woo 1Kkpk6heJOIucxI2Oo2e1JkSCYs6p3A170FFK8loqV4kbJed8+FatimT0JJCywJlakpcqjeJ+OAk AgWLvuuq9jqNQHkK1jilfmA6mr7+QYemYK1C1Vq1alQVqlFVq0ZXphr81hQViMlXmujSb9hVaTSm ekaj8wO2q2M0tnpG41WjsdUzGlc9ozbVaFzVRgN3APhfV7Bwj3rBjTR9Dp5s191iKm7pp6GKvmxG vxJV5b1d6f1DqWu+b/ZwpyvNle1Sb897VHT9p3Nw4qYa93tNeWpV/U5lWkqpuDM7M9OBW7s0p/It KyduWZJc9uQ2pbcLlnK3C8H8j2xjjYkMfEipOM9xNCOrEomiInFVWqHv0+MzeUwVIjFUJCquKhH6 zj0+klclEkdFbBVaCQb9UUcO78KWKCEPxM6RUn7TA990uyCC+RrPWoZXekcX0Td39HBHeniv4elp 9DO4RmMzM5JTHBku+pJ5JN/GEhvHK19UGKqUKjoSRu+5ta/3Bb/OSb9YoP4lP6LbQ114+5jSr7Zg Isr3MgJfW8F6EvGpTbtBUyzY1dWjrCquoRQW0bOb+rUh5DGfp9znq58B6AcGyqPcAId6U5KaJne5 PObzNWlqQv0uI1UqXadSb9XPU0rKKkycDGWpiuaQsm86D9VKNEypH2e0Fxb66CZpVT4nBDzGqnbo gCKpfiLQvqmUV/7bT5F8n+DccX6CVuFojG4x6kenPKv2uWREcCJq1KmxxHRHYrJitmdwBxTtmOCk LEoAgwsqXV9UkFQ//VT8TS3VkhrbPpr5quSVF8MVAVVT2Wirlj55uikrq4riw7UPTerr9cG00n13 SjVUyYppGMu2qrieUrNSf1h7dlPnnaeFtXwSlss/LCpf+4qsPvWCO3X5CVhxLPFZU41BcGPLHrEy i9G+aVjpS/uB3EG3ii/baYdS93U7lRNcsd5nn4v4LM2zQKjLbvdfMBf9Z/3gvDpf6ry0tP1Lp1Y6 nUGDFW2loA1pwbfk6ddwlM/o6hfDo/gWLYeW0wg8h6lYI7q8Bv0urvJ1fe3r+ep3+RPol8fKfSlf fSas/iRA8LkKLou4uKr/KjkaFh+pPYwJw+1vTGR0GelAHMK0l77CWpT+ok3LYN5boyMrSHiL8qX3 /j3CevQbHhYfFcvHWXE7HRYbpTz7jomLp50+YeEaQ/vAGxdv1QSHICI6b3DShs48Uo2P8k8k3yLc 0nJo2FD6bXmMqHl6oWdLFKxWy7UmWT3ffGQ1fFsjY6Or51uTrKbv6qzbGod/qudblaymb2s1fEdF R9qq51uTrKbvqGr4hsFqppomWU3f0dXxHRdTzVzTJKvpO6YavtWDE8nD1wA0UfGx8XCNc60wNNfK JC9l1bhP1vvufKFvS1xcVPWcK5KX6j3mIu6tsZHx1XOvSF6i++iLeI+Kjq5m5BXJS/V+scVHW23W 6rlXJC/R/cW8x1gs1Qy9Inmp3i/qPj4mppruqeQluo+9iPfY4MXqIt4VyUv1frHFV1x6Hi2tBD3C YmwxsUrViUShi6J/cQ8vZT0eeMRMv+at++NjGL2aa5eDMrdV5d/XKb1xUB4Ja6+vV291lojxyR3H 88l9scIy8pZ4K2TD46zlNVLKS1Zi+YkW6U+0jEhOb82njK7YuMV64T1EBfUtcMenBLd8iKJssfRx afW3MzCfck6U4qXuYu9yJa0CrlVN+dgYGx8dgyyrrnP6N1B6x1duCn20KViRJpHWgMm4SOUdjbBw 2omyaKlMU4cy0AkylHJmtUVGKflvhTrUcLkLtypHwGJTEy2cdsqylKtAVFx09CVrqj7jo2y89rU/ zZYtLsiJtcREqcsJcCqKZrQumlHWS46mpZJoRmvRVE1eQjStUZiJ1RYVp8Yk0lIak0jLBTEpw4q2 xMfjxjU2RtGMskYFNGm3nGZZluqTRlP5NrJmKcYaq9FqJOlSVLqiOMbq4hhpu+Q4WiuJY6wWR9Xk JcRRufeMigyEkbJs0VEBVmDlCismMl7HssYjH63UXlBT2wDrhRugZ0XHx9BPDjG2S9YsvVFWvvOs TYGeKJVWDUfHxGu0uh80JJp8BfthC+5HlC36kvcjupL9sKn7oZm8hP2ItlhieGtUlFolYpDfWnBo t1xwNNY87ZdJGzC3M9pwbHRM3OWFWPUfCx79RrdmiIZUJWlElUUp5F90Sa24pmuDpVcW+lk+8DOq 9EcHsxLT0u1ZF/7aX+neBX+5zxJ2kxaj2wy3GJSfo1SuzprpWmFlfvW1sl+nVR8UGwzT7gq72/Bc Zb9Oayr3K7Omav+aZ+Cnc2kQAric3/g1KfymRtYwjXztn0ZW+YN0gXsaWe2+2jMyX4VYVPTrwybl 90xDGMquA9jM9PeI55Oe8gsKouT5CnrKVzsiIVpEzFc5IsGdCEamsRaZ2oZVpJa8itSTs4Bs0kAe RxrKeaSJPJ40k13AGMLL6eCnYjyJ3AJQ+Vry1c9wdRUhpZmeF/K1Py8kmOl5IQXuvJCrn+kh1yzT A/kU3NdMZV9ZA4+qlxvSWs4A7CH3yYkhLeShIU3lx0OayINCGskDQxrIA0Lqob0J9I3ykBBOHhZi lpNCjHJaCCNnhhjk3JAS/2S0M0NYeV6ISV4QEiIvDgmVC0Jqya+E1AXqAQ1ANwK/ibwQ9meFtJSf D2klU9+5IffIU8GfjfF5IXfLL4XcAdQDbgZdB/wbMR4KOU5OR5sMOhH8YRh/EnLDIP8U9JKgnw47 1N61qmLBrMswf+3PMAezLsNc4M4wX7us+2dVk1nmWvIscz15MPCEuYH8pLmhnGhuIieZm8lDgIFm Xu4L/qMYf8h8C0Dl/wnVZLjpa/9wU3Bfh5sK3MNNNbua5Gj7Gm/INRnkSQrC5WeAPFNrOcd0n5xl ai47TE3lUabGcqoJZ9VUXx5mukV+wnSTPNhUW+5nukHubQqTe6J92HSj3B28bhjrCpmupnpAA9B3 g89jvAnk7pEfA3rD/iOmVvKD8NHF1ELuaGomd4CPdqa7gHrAzXJ72HoAtjuZCGyYIM9Cj4FPVh5k MmIOZvkpE4c53SCPMNWR0023Yq63y2Pg0wk7LlNDeSz85sIvXd+1ry39jV/7+xuDOdjfWODub6zZ teU1LQd7GpKMreXhxnvkFGMTOc3YWB5lbCSPNt4F3CFnGOuhvVlON9aRRxpvlEcYw+RkY6j8lJGT n0A7GPRA8PthvC/k+hpvA24Hfafcw9hAwx3yI8Zb5YeMN8kPGmvLXY215E7Q6YC2HdAWuvHGurIN MjZjfaAB6LvAb4hxHnKN5c6YWydjK9D3Yby5HGO8V7ZiLBJykdCJhG8rbMVgTvHGEMiZ5I5GI3yZ 4DcEcwiVe2G8N9o+oPtjbJCRwRoMWEuJPxltKuh08B0Yd0F2LNaeDftO+B9jbIo4tIRMK5nG69rX 1e7s1/7ubDCnu7MF7u5sza6rzbS7tBsxlsriDkxBhNwLuJetDRD0KUr8gxQQOVXBTeDdJMco7b1K /9pXrbbM1/62THCH2zIF7rZMza5adq1qRRoeYlrL3Zl75B5ME7kX01h+jGkk92XulvsxDYB6wM1y H6aO3Ju5Ue7JhMkPMaFyF4aTH0B7P+h48OOY2nIs5GIgHwu9OKYh+LzcFjYTmFZyfeZewCjzCu6W rRiLYO6S2zC3y+HMrWhry5GwF8WYocPAfom/B9p+oB+H/Sdg9wnIP475DWSaYX4tMddWMp37ta8g 9ImGA9DnWz/g+uc89XNeITnv30/O+XeRM/4d5E//FvK7fxM55d9AfvGvI0eAA/71ZC/oXf7NZId/ G9nq30m+8e8hm/w/k43+QuAsUEQ2+2Wyxc9y2/1mbqefcN/7Q7m9wAHgCOhfwD+F8d/9xfB1Dj6p 70Lyq98Nfz5S6C8hx/wG7rCfgY6B2wd6N/i7ML4Tct/696HdCXo7+NvIPv9WzG0bOQz6GPiFGD+l 2Lt2Ve3q7m1IBbUj+NSK4z5GBCne93Mcxcf+a3Uer1VVDanwXlAgK/we8rLfSxYjvxYhbxcg3+Yj 7+YALwLTEbXn/X4yCXk90S+SCf7zwBngd9C/gn8S44VkGvAiMMt/gszzHyJzgTnAbP9B8gLOx1Sc rcnIy+f8u4FdwE7QO8gU5O005O8MYCYwB/Q88BdgfKH/e8xrD1kCneWgX8f4Upy9ApzBRTiL83Am Z6KdBvo58CdAdzzknvb/APwIHAB9CPyjGD+G9hfQJ0mu/zeS4z9NxmItY/0S4ANdAr6RG4/zORnn dCayZB76i/wm7hXE5DWc1WV+Gq9rVy+DldzpcwDBSu709QOu3TXm2pz2yiv55779wC7yqW8H+Z9v C1nj20RW+zaQD3zryDvAKt96sgL0Ut9m8rJvG1nk20kW+PaQ+b6fyTxfIZnrO4u2iLzkk8lCH8st 9pm5Ah/hXvOFciuAVcA7oD8AfzXG1/iKySe+c/BZqOAjnxv+fPBXQt7zGbi3fAx0DNxK0MvAX4rx Asi97NuHdifo7eBvIyt9WzG3beQt0O+B/wHGVyv2as7fHS6sV/pKPhkRpMjzcRzFZN/1T/VqJc/w eYjd5yXJyK8k5G0i8u1J5N0QYBDQD1F7zOcnjyKve/hE8ojvPHnYdwbt76B/Bf8kxgtJP2Ag8Ljv BBnqO0Se0DDEd5AMwPnog7PVG3nZy7cbOrvQ7gS9A7rbSF/k7wBgMPAE6CfBfwrjw33fY057MLfd ZDTodIyPxNlLwRlMwll8EmdyMNp+oHuB/wh0u0Oum+8H0tX3I9oDoA+BfxTjx9D+Avokxn4jnX2n SSespaNPQusDXQK+keuO89kL53QQsuRJ9JN8Jm4EYjIKZ3W0j8arJtfL4CcrgcQjcyKRORGIXhtk TmtE6T5kTHPgHqARInoXMucOyNSHbD1Ux9t8f6A9BboQ/OMYP0oaAfcAzUG3Aj8cOxSBLLJhZy3A TahqFPdhJ8Oxoy2RSU19P5HGaO9EZtX3HSY3Q742svJG+KoN3zdj5+7ALt6DXWyJfhvsYhTmF4td tPno3K9dZQxej+8tdgDB6/G9xf2AmnyPWfZ63L94P7CL9C1GnSjeQh4t3kQeKd5AuhevI12ADsXr SQLomOLNxFK8jbQp3klaF+8h9xX/TFoWF5IWxWfRFpFWxTIJL2a5iGIzZy0mXGxxKJcAdAC6gO4O /iMY71VcTPoUn4PPQgU9it3w5yMPFZeQbsUGrnMxAx0D1xa0DfwYjFshZyneh3Yn6O3gbyNti7di bttIZ9DdwO+O8UcUezX5U7P+enwnIkhxczHHUdxZXJM/c+qfSHLcqSKJUHDFp4H15ETRenK46LSC feBTHC7iOIpT4J0q2k1o61f61656BOvaHq8DCNa1Pd5+QE2+Fy1b1xoX7Sd80S7SqGgHubtoC2lQ tInUL9pAbi1aR+oAN2DHzaCZos3E791Girw7iejdQwTvz8TtLQTOEo+3CDyZeL0sV+w1c7KXcGxR KBcC3ADUKSLcrUVmrn4RyzUoKiYNi87BJ/VdSG4vcsOfD/5KSN0iA1e7iIGOgSOgTeAzGJfhx+/d h3Yn6O3gbyOkaCvmto3UBl23aCf098EOtVeT76b1de2Et4RQHPRyHMUJb02+Wyxb1z7ySoTiB+9p YD35EHgbfYqV4FO8jZhRfATeR97dhLbfKP2aXD30d92veD1kvtdL5nl9ZC7O/2yvgZvpZbgZwBRg ErJvgtdPxkPmacjmolaM8/4BnAJdCP5x8oz3KJkETAFmgJ4J/hzvSdg8QQqwKy8BTu92BTO9hzB2 gLzo3U+meX8ik9E+gzqU6z1MsiE/xnuGOOArE75dqEHjvaGYB8e9iP5cr4lbgPkt8RbDLp37tasT wavTVMkBBK9OU6V+QE2+/yh7dVor7Qd2kf9KO8hqaQv5QNpE3pU2kLekdeRfwHJpPXkF9GJpM3lJ 2kbmSjvJbGkPmSn9TF6UCskL0lm0RWSWJJM5EsvNk8zcAtzOLJFCuVeB5cC/QL8F/rsY/0AqJh9J 58gaifouJO9JbvjzwV8J+bdk4N6QGOgYuKWgC8BfjPEFkHtJ2od2J+jt4G8jS6WtmNs28gbof4P/ FsbfVezV5E9U+qvTM4ggRbbEcRTPSDX584i+qqZKHjJM8pInkV9DkbdDkG+DkXcDgD7Ao4jaI5Kf dIdMN8h2RY53kf5Aewp0IfjHycPSUfIo0AcYAPpx8J+QTsLmCTICZ+YpoANyk2KwdAhjB8ggnLV+ 0k+kN9qHcX66SodJR8i3k86QtvDVDr474qx0x5npgx0bhP5QycQNx/zsODcjJDr3a/8WwjRiEx1A sKraxH5ATb4vLFtVJ4v7yXPiLvKsuINMELeQfHETeVrcQMaK60gWMFpcT1JBJ4mbyTBxG3lC3Eke F/eQQeLPZKBYCJxFv4gMFpGdIss9KZq5RJFwyWIolwaMBrJAjwX/aYzni8XwdQ4+qe9Ckie64c9H csQS4hIN3BiRgY6BGwl6BPjJGE+E3FPiPrQ7QW8nKZjHSHEr5raNjAHtAj8H408r9mryna2+qj6M CFJ0FDmO4mHx+r2qWlWjRQ9pJXrJfcivlsjb5si3e5F3jYGGQANErZ7oJ7dC5mbI3oQcv0n8AzhF 6iLHbhGPY/woaQA0BJqAbgp+C/EkbJ4gUTgzrYEbkJsUTcVDGDtA7sVZ48WfyJ1o6+H81BUPk1qQ 58QzBB+a0TLcjTgrt+LMNMSO3Yt+S9HEhWN+FpybKJHO/fobVOoulggeIghe4hF8xC3I5Jxg4E4L DPc7cAr4RSghRwQ/OQSZnyG7XzgL/AGcIgeEQnJQOI7xo+QX4BTwB+gz4J8XTsLmCSIL64kI7BG2 KzgjHMLYAXJa2E9+E34ihWiPCD/D1mGyD/LfC2fILvj6Hr73CoQ7JIRiHhzmRDi3YOIkzM8nFMMu nfs/4Q2qXz0OIHht/NXTD7j+BlXg2ngndriBsIvcLuwg9YUt5FZhE6krbCC1hHUkFDAhO0o8G0ix ZzMRPduI27OTnPXsIWc8P5M/PYXAWXLaUwQa2elhOY/HzOEmjfN5QjkDssMEhCI7aglmrq7Acrci O24XzsEn9V1Ibhbc8OcjtZHJNyB7OGSWCS0DWvb44NdNJPgRPfvQ7gS9HfxthBG2ErOwjXDI2huE ndDfBzvU3vU3qNRr4xEPagOwz8NxFEc8Nfmz2EIt6yMMdxh2k9eQwas8u8i/Pd+St5BR73q2kveB D5FZa0B/gkz73LObfOX5kXztOUjWeY4Dh8mXyPpPPQcgs5/8B+07GFvlOUJWek7C5lmy1COh9ZNl HoZb4TFx//KEcP9G7N/GaXgfWI2T8TnGNniKyTeec2Qr9LbBzlbM5Rv4X4+T9plnHeaxHnPagPlt Jm+Avxzzed2zW/GxzuMBvJibn3yB/f0U9j4GVgMfgH4H/LdwIv/tEcib8PGm5w/gV9AnwP8F48fI B8BHwMegPwX/C4x/Bbl1iv1/wvtSBW4HoH+zuh9w/X2pQN0+4d5PCt27yHH3DnLUvYUcdm8iP7s3 kB/d68huYKd7PdkKeqN7M/navY184d5JPnPvIZ+4fyb/cxcCZ4Ei8qlbJp+7We4rt5lb7ybcJnco txXYCewG/SP4P2P8sLsYvs7BJ/WNOwu3G/585Cd3CdnrNnA/uBnoGLjtoL8BfxPG10NunXsf2p2Y x3bwt5Ht7q2Y2zbyA+i94P+E8Z8Ve9ffl1Lr9juIIMVKN8dRvFOjv09Qtm6PQga7kPXZ7m9JDjIo F9k0HpiAjHoO9FRk1Az3bvKi+0cyy30QOE5muw+TF5D1U90HILOfPIM2F2Mu9xGS6T4Jm2fJSLcE +MloZLHDbeLGuEM4F2I/DqcgD5iIkzAdY3NxChbgFCyC3mLYWYS5vAT/c3DSpuPUTcCpy0U/G6du DPgZmE+6e7fiY7bbg/l4yUz4eQH7Ow32JgMTgfGgc8EfixPpcgvECR9O9x/Ar6BPgP8Lxo+RfOBZ YDLoaeC/gPGZkJul2L/+dpT6qWk4Ij0YkR6EOjQA9a0/6lIfRLkX0APojmh3QbQ7QqYDZNsjeu0R xfbuU6ALwT+O8aPkQaAH0Bt0X/AHYNcHIeqJ2OXHgXhkHEUf9yGMHUC7nzzq/ok8hLYLMq4DMq8t 5GPdZ0gMfMXCdwIyqRMyqgeyqw/6A5FtQzC/J5FZiW4692tXB2srV1uz8j0T9dc06PeZKL6u0W/f B7/lfdC8Vj6h4E/5N/Nv8mnzSfm8+RdZNB8HfpfPmk+D78a4JB83++WDCtbK1989ote2bYjEWkTk A2AD+tuuQWT+mZ/WVplXyKsQlWUKaH+FXJNP3Fjtqt8IV30nssRp/lIea/5UzjV/LOeDfta8Rp4M TEP/BfP/5Fnmz+S5kJlvXie/ZN4sLzBvA74D9oF3EGNH5dk4py/ivE4z/yo/j7P7LJCPfq75FGwX wscxwC+PVEB9roX8d8BW+NgkT4ftKeav5OfMX8gTgfFALugc8LMx7oKc07wT7R7Q+8E/KD9tPgIf RyF/DHrHoH8Edg7B3n7Y3avYr8m14T5tn0Pxv2TEuzti3wG4l1YGIMa8Xe4LPI4+He9t3i3bgA7m E3JH8x9yJ/NZuYvZI3dD3e2OvaXj1ysKrSgNUEEaIJK3KKD96xUlUFG2mNbKW0xfyttNn8o7TR/L P4DeZ1oj7wcOoX/U9D/5F9Nn8knI/GpaJ/9m2iz/btoGfAfsA+8gxo7KhaZf5GOmk9D5VT5g+g02 foOtX2HzFGwXwscxwC9/pYD6XAv574Ct8LFJPgzbP5u+kn8yfSHvBb4HdoLeAf42jG+F3BbTTrR7 QO8H/6D8nekIfByF/DHoHYP+Edg5BHv7YXevYr8mV5SPtBMwyPARIvc28Bai+H+I5pum9fIKRHcp dnUJIv0SMAf0TER7hmmDPB27PA2y0007QO8E/3uM/yDPN+2WF2IHXsHOLzP9KL+BSP/bdEB+B1F/ HzvxH9MJ4DfgjPyeyQO+BH9F8OeDvF8uMMnQl+W56M80FcN2kTzVJMrPm9zyc6az8iTTH/KzyJgZ wAvoz4Sd2abz8jzYWmgS5JeB14AVoP8F/iro/Nv0J/A7cBJ+CuWVpuPy65jLy8iG+ZjXLGTKC5jj VNNP8mTMexLW8KxplzzR9K08AZk80bQRvK8wh8+x5k8h+z/4XIuYrJEXA0uBFaBXgf82xt9DrP6D OK1GHD9CjGhsa3Kdbatl2Z0Gp6lAdqJW5CpYhz7FJmCrnGXaLo9BpByIfDqyKRWwA4nAcOxCMsZT gDT0RwHppi3AJmAd5Cg+Q5+C+iio0fU7Qov4bYaepjfkvqZ35cGo3ENxbp9ExRuKXH8c56A/zkZP nLMHgYdMXrkHzkxP0zn5UdNp+TGcr744I/1wJvpD5zHTJ5B7Q6b2rn8+o/cM7XDi2yFy0Qpov2Z/ PgvmXDPkSGugMXKmIXKnIXKIRy41QU7di9xqhhxrjlxriZxrjeg1AxoiF+9ATtZDbt4GnXrI1QbI 2UbI3WbXIOf+mW9G1kGOFRv9shvg0K9jqtlPS/T3qd8a18rfGr+UvzN+Ku82fizvA33AuEY+DBxH /4Txf/Kvxs/k3yHzp3GdfMa4WT5r3AZ8h/4+8A7KfxiPQuYXyJ6Ezq/Q/Q02cK+K/g/GU7BdCB/H AL+8UQH1uVY+CRsnjFvlQuMm6K2Tjxi/kg8Zv5D3A/uA3aC/B/87jH8LuW+NO4E9oPeDfxDjRyB3 FL6OQe+YfBT0ceMh2NsP23sV+9c/qdETsBbRXovIv6eA9tfK15+20qetyxCJZcizxQrWAh/KLxvf k18xvi2/Zvw/jL2D9j15qfED+VXjavCpfM2uHx206N1tGIVIjMIJzFLwK/oUpwG3PNIoyqnGItlu 9MlJyLunjLI8FBgM9Ac9wCjIg4AhwJPAU9BJNJ6XhxvPAn8Cv0KW4ij6FNRXzb5bCP5maB9Eog+i 85CCo3I31NjOqLUdQCeg9sYB0ehbwIswnpDDjcfl1pBrCbmm4DXG2N2QuR24FXRdyNSBTC3Uz1rG n4C1cj0Fe4H9cn3U29uNh+UGsHEXam0joAnQFDW3OfgtjT/LrYw/AruBtfBNsQ/YL8dANxYyNugm QKcd8ADQGbrd4K+78QDwI9axB/gOoGtbe/3uRandRqNXNhpL5NMsBe17a3T1WaRF5iHDKVaQj7Ki fIR1y4fZc/JB9ox8gD0t/8T+Ke8FfgB2gf6WPSvvYM/L2yG/DRHczvpAy+AbSr5j2ZIfWGPJXuBH YD/o/WxoyU8a9gDfszdA7saSnWztkm/ZumhvLdnF1i/Zzd5eso+9A/K3lxwEfRj8I+xNJSchc4K9 reQXjB1j7wS/YckBthFkG8FXI+jfXbId/C3Q+wZymyH/DWxvgZ/tLIfxELRm0CaMsSUbsfMbMOcN mPtGrHUT1rmF/R1rOCV/z56U97EnsO6TiMEp+Tj7m1yINZ9EPGh8rt//0DO0mJvs7asgz7tYwWTv 9fsfev+zmBvtna0gGVFJ9r4KLONSvCu5VO+/uFHeFRhbhvY1bqT3FS4NMqleqnP9/ofe/yzm4rwZ Ctp7UxTEeROBJ4DBXKx3ABft7cdZkHcR3j5ca6Al0BR0Y+/jXBPgXqA5cB90WnuHcuHeYVwb73Ag RUFT2KZog6hTxHmv3//Q+5/FXENEh+I2ROc270juZu8Irg7oG7x2LgQwom8Azy+lccVSOueVMjhJ Gsl5pBHcWSmF+0Oyc6eA46APQ+ZnyOyXxnA/SmOBxQqOSrlANpDFHZMyIZvBFUqjuZPAb8CfkgO2 MrnzkhN2czhRygMWKzB4xwHZQBbHeDM5FvM0eUdjbqO5UOBGrwPzHYN5u7hbvTnA01jHBGCxgoY1 ukKt0p5RtDXUMyxlmkjLmWbSSuY+6Q0mAogCbKDvl5YxHaSlTEepgOkkLWI6S/PRzgE9C/wXmHbS DKatNB2y05gYaSpjkaYwraTnYWsyc4/0HDAJmAg8w9wrjWeaSnlMc+lp+MllwtFagCjwYjAeJz3L xEO2E+QekMYx7aVs2HaCn8VYpTFMa7TNQDcBv6GUw9wFGw0ge4c0AZgMzAYWAC8DS5nbMff6WEM9 oBHW11ii63wRc5kJO7Mwh9lY6xz4n8vESvPgZz78L2ASsM4EaQn6BVjXqxh7lYkGLEA4eC0x1kxa iPXMh63ZALVZk+t1Ay2XKG88s0Ecz5wTnQpof4M4R8E5caoClb7+ewHqW+CTmNfFHOY10cG8Ko5k CsQUZomYxCwUE5l54lPMLHEYMx3tZHE4M0FMZvLEVGacOJoZK2YxLjGXcYqTgJnAQiZbLGByxNeY p8XlTL64kpkovsE8D0wHZoGeB/5CjC8RF8PXLPikvicxi7AfC8GbD/054qvMTGA6MAX0JPAnYjwf cuPFbLSjQY8EPxXjIyCXCvk06KVDPxt2qL3rnyvpPfFKJgURpBiK6FOkiDW5SgTviVcyFkQjATmf gDxuJ7qYjjgD3ZDPD4tjgNFMZ+RUe+R7PPI/DqDylus1o7Rm3Il4NUD8bsdZrIeacStqRl3UjFqo FaGIlwltiTCcKRKSGUFIZc4Lo5mzQhZzWshl/hQmATOBhcwZoYA5J7zGeITljCSsZIqFNxgD6oUJ CEXMa6Fm1EXNuBV14HbUjAYi9T2JuRk1oS54tZHdN6BWcIAJYED7hcWwMwf2JjGikI12NOiR4Kdi fATkUiGfBr106GfDDrVXk2tG8PPOSmaj8LSC7dgtio2I3kYhDUhhNghJzDrhKeZLYRjzOfCJ8CSz Bu1q4H1hBPMB8CHk/ov2Y0T7E+h9KoxiPhMygCwFq2Gb4jPsNsVG4fp/I4p+3lnJvIPoUKxEdFYK OcwywcUsBf2yMIZZgHae4GRmg/eiMJaZIYxjpgl5zFTITQZvIsbHQ24cWifkHJBJx1kbKeQzqTgH qYg0xRjheeBZ4BkmSxgP2TwmG/5yIPs02nzQE6EzSZgIu88xzwvTmCnQo5gtTAaeBZ5h5kB3LmTn Q2cBdBejLQC9FGPLILMcuiuEqVjHC8BKBe9c9k7T/8rppex0SaW/czKZaY5VNBKC9C2gb9DRJZ7J jOgJ0r+BPqaj94L+VkevA/2Jjn4P9Js6ugD0fB09FfQEHe0EPUpHDwM9UEc/Arqzjo4DHaGj7wF9 p46uA7p2KT0O650IBOgX0Z+ro8dBdqJO/kX05+roB017vB1Mwd+CjEK/lY5uhH59HX0D+kYdLRr3 eE8bg/Qx9Pfr6AdNxd4HTed19AnQh3T096C36ugvQK8ppfcbi2HvvI4+AfqQjv4e9FYd/QXooP4O 1unbyAZ/U/9/6P9HR/8L/aU6eh76M3T0M+iP1dEj0U/S0TvYxb4d7BwdPRn0eB2dCTpVRz8Bul8p nQT9JJ1+EvSTdPpJ0E/S6SdBPwn6V/ukXfm3/S7uOVhTS6r8tl9zrabWNdQ1feolps+9Jcb13iLj Nq+EzCtCdpQgS4jpD29d02nvnWjvQda1QNbdh8xtYdoGej34n3up/tWO5JV/H+7yIlnR9+GCkVzC Pu6bjdyayib6JrFpvonI8UlsPujnwZ/hW8K+6FuB9i3Q74NPz9D7kHsL8iugR/WvVfU3XeVIVvTd 3GAkJzOTPHnMZI+Tme4Zzcz1jMIVYjTzBuh3wP8Pqvdqzyy0C0G/Av5SjL8CuYWQnwU9ql+Tv8ur f24oM00klm0mmdj7JDMbAUQBNtD3SwzbQZKZjlIx00kSmc7SebRnQP/JdJB+Y9pJvzJtpVOMTTrJ xEgnGItUyLSSfmGaSceZe6RjwFHgMHCQuVc6wDSV9jPNpZ+Y+6QfmXC0FiAKvBiMx0lHmHjIdoLc A9I+pr20G7a/B38XY5W+Y1qjbQa6CfgNpb3MXbDRALJ3SIeA48BpwAMUATJzO+ZeH2uoBzTC+hpL dJ2/Yy5/wM6fmMNpJgJriZLOMrHSOfg5D/8eJgHrTJC86BdjXX6M+ZlowAKEg9cSY80kAes5D1un gd+vwXPDf9L3ffXPDQ8wG8QDzDnxewW0v0E8o+CceEKBSl//FWz1GcBR5nVxL/Oa+C3zqriFKRA3 MkvEdcxC8StmnvglM0v8gpmOdrL4NTNBXM/kiZuZceJ2Zqy4i3GJPzJO8SjwByAw2WIxkyOWME+L LJsvmtiJopl9HpgOzAI9D/yFGF8iSvD1J3xS30eZRdiPheDNh/4c0c/MBKYDU0BPAn8ixvMhN17c jXY76C3gb8b4Jshthvw30NsG/d2wc/QaPDf8Z/4KtolNQQQphiL6FCk1+rcCg88NTawF0UhAzicg j9uJPzAdcQa6IZ8fFr8DtjOdkVPtke/xyP84gMpbanTN0EfPJ5hYM6JnRvQ4RO9GRK8uoncboncb olcb0QtF9EyIHAtQeZ9Qk09l8Mmcid0o/MRQbBd2KdgobAe+ATYyG4R1zDrhS+ZL4Qvmc+AT4XNm DdrVwPvCJuYD4EPI/Rftx8JmjH/DfCpsZT4TdgC7FKyGbYrPEHWKjUJNPvXBJ3Mm9h1Eh2IlorNS 2MssE35gloJ+WfiOWYB2nvA9Mxu8F4U9zAxhHzNN2M9Mhdxk8CZifDzkxqF1Qs4BmXThR2ak8DOT KhwFTCzFGOEXZoxwBDjIZAkHILufyYa/HMg+jTYf9EToTBIOw+4x5nnhJDMFehSzhePwfwQ4yMyB 7lzIzofOAuguRlsAeinGlkFmOXRXCCewjt8AE0txeU/m6KejS/xsVlJS6X9N6TjTHKuoIwRpAtqo o4s9x3VP4o4z+0Hv1dHfgl6jo98D/ZaOXgH6BR39HOgJOjoH9DAdPRB0Xx39COgoHd0KdHMd3Qh0 8MnZPqznjO5J2z6MndGNx5umFzcGAvQd6N+mo2uh7zEG6T/QP6Wj403vFsebFuroWaBn6OhJoEeW 0qeM70J/oY6eBXqGjp4EOig/JWSVlAEE6BT0h+vox9HvpKMT0I/V0W3Qr6eja6MfpqOnhOyQpoT8 V0e/C/r/dPRy0DNKaTPkzTp5M+TNOnkz5M2Qv9qZfGV/x6me59KaVVJSzb/90sy527QcyFSyiOJq R+bK/s5y+ZGp6O8stbTImAwtkYN9Qr4GZku0f60qX8hVjkrV789uZgo8Z5nVwCQP7VNcfztNfcr0 JNtEGs42k5LZ+yQ7GwFEATbQ90uJbAfpSbajNITtJA1kO0t90fYG/Sj4j7DtpIfZttJDkO3OxkgP shapG9tK6gpbXdh7pM5AJ+ABoD17r3Q/21RqyzaXEuAnng1HawGiwIvBeJzUkY2HbCfIPSDZ2PZS DGxHgW9lrZKFbY22Gegm4DeU4ti7YKMBZO+QOgBdgF5Af+Bx4En2dsy9PtZQD2iE9TWW6Dp7YC49 YedRzKEX1tob/h9jY6U+8NMX/vuzCVhngjQY/SFY11CMDWWjAQsQDl5LjDWTBmA9fWGrF0BtXn87 TX3KdD+7QbyfPSdGKaD9DWJvBefEBxWo9PU3TdSnTJ3Y18U49jUxgn1VvI8tEJuxS8R72IViY3ae yLOzxEbsdLSTxSbsBPFeNk9swY4Tw9mxopV1ifGsU+wE9AQGsNniEDZHHMY+LQ5n88VkdqJoZ58H pgOzQM8DfyHGl4iD4OtR+KS+O7GLsB8LwZsP/TniUHYmMB2YAnoS+BMxng+58WIM2nDQ94HfAuPN IdcC8i2h1xr6MbBD7V1/O41ecZLZFESQYiiiT3H97TT1OUkya0E0EpDzCcjjdmI02xFnoBvy+WHR AoSznZFT7ZHv8cj/OIDK1+y304Kf1oewp4VkBXeJicCT7J3iYPYOsT9bT+zD3oKTfZP4CHuD2I0N wWlkxQ5siXA/6xPi2CLBynqFSCAc/VbgtcRYC8g0Z804yaGI+o1iK7Y2duAmMZKtiwp+M3boTrEN 2wCn/g7I1ceu3IpqdBOq0g3YGTNaA6qVT2gCu01ZD2yeg/0z8HVGiAUS2LNCB/a80JkVhG6QeZj1 C71Yo/gY5tcPPgfAzkD4HczWwVm5SaTru/6uGn0ilsxuRPQotiOaFBsR2Y2I8EahGbtBuIddJ/Ds l0Ij9nPgE6EhuwbtauB9oTn7AfAh5P6L9mPs8ifQ+xS7/pnQBrAqWA3bFJ8hmyiuv6umnrFk9h1E h2IlorMSZ2eZEM0uBf2yYGEXoJ0nRLGzwXsROT5DsLHThLbsVMhNBm8ixsdDbhxaJ+QckEkX4tmR Qjs2VegEJCsYI3QFOgLt2SycUSdsZMNfDmSfRpsPeiJ0JgkPwG5n9nmhOzsFehSzhS5AR6A9Owe6 cyE7HzoLoLsYbQHopRhbBpnl0F0hPIh1PAIkK3hHuPb/Ta4ubHOsIviuWhe2Pug6Olr0dGFPe4L0 CdCHdPQm0F/o6DWg39PRi0DP1tFTQU/Q0SNAD9PRA0H30tFxoCN0dHPQjUppG+b/ABt8AtYd/d46 2sbW9jzABp+IdUe/t47ON37tzwYC9Gj07Tq6J/pddXQ79GN0dL7xhD/feEhH7wX9rY5eA/o9Hf0m 6NdK6dbQb63Tbw391jr91tBvrdNvDf3WOn2HaWnRCCBAD0N/oI7ugH6cjo5Av7mOdpjWFzlMn+ro 1aDf1tEvgX5RR08GPb6Ubgj9hjr9htBvqNNvCP2GOv2G0G+o058ekic+CwToXPTH6OjB6D+mox9C v6OOnh7yujg9ZLGOngN6mo7OBJ2qo58CPaiUtkHfptO3Qd+m07dB36bTt0HfBv2a/Pei4HOuMTgJ 3Y37gVV+2q/Jf8sJRiUJ5yvBtBZ4voj2a/JfZoNRycep7RfyEjBcpP3r70HQT6iJbIHHxq4GJnlo n6ImnyL9M9HP2SbS12wzaT17n7SBjQCiABvo+6Wv2A7S52xH6RO2k7SG7Sx9iPZ90O+C/xbbTvo/ tq30b8iuYmOkN1mL9C+2lfQGbK1k75FWAMuB14Gl7L3SK2xTqYBtLr0MP0vYcLQWIAq8GIzHScvY eMh2gtwD0mK2vbQAtueDP4+1SnPZ1mibgW4CfkNpEXsXbDSA7B3Sa8BK4D3gI+B/wOfs7Zh7fayh HtAI62ss0XW+jbm8AzvvYg7vYa3vw/8HbKz0H/j5EP4/YhOwzgTpY/Q/wbo+w9hnbDRgAcLBa4mx ZtJ/sZ4PYes94O1r8Ez0n1R79M9EX2E3iK+w58T5Cmh/g/i+gnPimwpU+vp/i1Z9JrqcfV1cxL4m zmZfFWewBeIUdon4HLtQfJadJ05kZ4kT2OloJ4uT2AniZDZPnMaOE2eyY8V5rEtcwjrF5cA7wH/Z bPETNkf8gn1a/JrNF9ezE8UN7PPAdGAW6HngL8T4EnEtfL0Ln9T3cnYR9mMhePOhP0f8jJ0JTAem gJ4E/kSM50NuvLgA7UzQM8CfhvGpkJsG+enQexH6C2Bn+TV8JvrP+m/RrmdTEEGKoYg+Rcr1d8eU Z6LrWQuikYCcT0AetxNfYjviDHRDPj8szgVmsp2RU+2R7/HI/ziAyltqdM1optWMGzG2ni0RVito KL4FTGT9wkRWEN5S8Cf4FIKwXkEJeCXCXKW9RaT9mnw+g08c17MbhZcVbBfmKdgozASmA1PYDcJz 7DpE9UthAvs58InwDLsG7WrgfWEq+wHwIeT+i/ZjYRrGp7OfCi+wnwmzgHkKVsM2xWfYBYqNQk0+ /8EnjuvZdxAdipWIzkphEbtMeIldCvpl5OkCtPOE+exs8F4UFrIzhMXsNKGAnQq5yeBNxPh4yI1D 64ScAzLpwhJ2pPAqmyosB9YrGCO8ASwDlrJZwiuQLWCz4S8Hsk+jzQc9ETqThNdhdwX7vLCKnQI9 itnCSmAZsJSdA925kJ0PnQXQXYy2APRSjC2DzHLorhDexDreAtYruIwnjjGItYbq7/TEiRMvyPXA E5SVbHOsIvjEcSVbH3QdHU1Al3iCtOhZqXsCuZI9BHqvjv4W9CYd/QXoNTr6PdBv6uhFoGfr6Kmg J+joHNAOHT0C9DAd3Qv0gzq6A+g4HR0BurmObgS6fim9GOt/XfeEchX67+voxWxtz+u6J5Sr0H9f RxvNW6Ri05bSd9LOo/+bjj6G/n4d/T36W3X0J+h/qKPfQn+Fji5Af76OfgH953S0E/1ROjoJ/SE6 ui/6j+jozui31dFG82nJaD6how+B3qujvwW9SUd/AXqNjn4T9BuldGvTaam16YSOPgR6r47+FvQm Hf0F6DU6+k3QQXvTQxp7ngWCTyQbe8bo6DT0E3X0YPQf09Ed0Y/X0dNDunmmh7TX0bGg2+joZqAb 6uh6oGvraNk9PcTnDj6B7Oax6ezZYM+ms2eDPZvOng32bDp7Ntizwd7VrgRX8JfcansO1Hzqtaq/ 5NbVan6I4Rlk5iLTMel9pf1AojTF1Y7OFfz184qiU/X7Ew8ij58KSfA8rbSch9LX6gpiusqRqeiv k8G8eYEtQFVf7flcaSd5KP3CNXh2F9y/qv6bmKqsoXRFKs2WRjZEmXUzZVZGxfr/A7bAqLoqDwEA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0203_image332.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhhwERAXcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIACwB9 AQYBgwAAAAAAAAAA/wD//1VVVW5ubn9/f5GRkYGBgYCAgIiIiIKCgqqqqv///wECAwECAwT/EMhJ q703BKA3/mAojmRpnmiqrmzrvnDsdpps33iu73zv/6IOcEgsGo/IpG8j9Cif0Kh0Sm3RhJhmTcvc ertgzlcc5pLP5vRYXV6723D0Wx5n0+/2/Fxf3/v7gFJMHB+DhoSHiYiLio2Mj46RkJOSlZBblJmW m5qdnJ+elJigpItPTlgWTkSrQ61Arz+xskezPbawNRK2uDq9O784wTnDwrXHp15ZVczNzlDFNtHA NIXP19inJYPZ1t2E3+HiKVcZutWt1eMU00rt6/DPV6/q8xWYOwIA+sTf7/EAfZ1hN2bCl1XlxOxK t+eFgIcP+/kLSDGJPYPzEHpIRebcRl0d/zOqWwGxZAl+I/4hq8jSVZhl9z7S87hQI7qLFvTx27lP gs6SEHv25Cl0WziVLZOe0MLuEcGaqmgOXIgHZAWURSn8BIpV59WsIZCyUkqWB86QHD3O/AgVY9VZ WEFwjQtD7NiyeKUl3OUUYxmCMqcqtMNirrGJeRO/OJvyJiq1HAfPcWHycDe7ihNnNFEPJJa9bgm3 8CoxG+bMmg2SU62KdWrEqGPLZnaa1uzbt0BYBRe19krTuIMT2/20eEzfRpADE85cBmi/qolHzjFg OezmzblFNwU9cmfvo/q6GEBe4HXsuM+KLJ72+26RjClUL0G+PH2j59HPVi9eoeCOfIEXyP8F9gFQ 3XwGJihBffMdOIGDCyqYUn76yVZQd1ap1RtgUb2FAYLyPfgggyKCUGAQR1UYnHqbufWfYNP90QKD 9d1HgnLWqbjfSxl0KNljNnUoWgwg1pWijjuO1FgXU7U3k4fY4FgakrHFF9ZnnmUo3YDXSDkllYop whlv6dzDW1OSRHkkmGy2eaaabrrZS5nLeGmbIN7EyWYT5sgkoJ1LTDGda3rqGJ9772kHD6BL4cJo oUjwGRo+VP3JlpNDyhPFc01BShaLLLZV0zkujgofcUv1pxt+yQz6pqcsXdjpmRpGlyhDp6LKnXZ+ pkXmqyhC8+J2sMYKmpguxqjlk5kSWif/TnNO+GgQnJZaLEWgHhvYcdAJOZkVrs7QqpJmXmuskshC JWlbnMo4g66L4anrtFrRZe5iPN7oGIbPuSuueZvCS69XKNl7Lwot6lsrHeT6q6mgqx4c62qt8WUx sKi4Rq8Va0rscUsbc/wxc/D6Z5y1i3bsw1YjWyTwk9wCFLLIQHDVchGHYhrTDwjkCNwQht28WpmH cPgnYEE6AoMBCCQAMJw12yx0o+gm7J+vqWibq65Ok9B0AmB/2SURQU+tMNbcUfUillVzWUHPFzht wARfgx22010DgLfeAMydd7CXkQ2U2Zz1iwZ7W4LRsNsU9Jz33xPgbbfdE8z9AdwTUphP/2WEn72s tqLyC3qzKUwOOQin5wk10GB1fuWwGSdbdJP/ObzC5GI/7Lo81RaiTNa37kw6CmAv8LS0wJq1e5e9 +25G6LUzfrvP1Fqt/A8ET2Dw8gGmjfzF4DvbvdJjb3MTLNynj6dRzweq/vuRFi5rbvDXf9eYirpv //70U4w+/wCkHqtcEcAC3kAlM5uZAV1nl3RJY4EQ/BcLrBcDBUbQbEhRXLgkeMEODpAc4TmeB0eo OhU40DkkTGHEVrAe/82KVCqMYfhSRcElCUyGOJwh1cRnwxvmUIYNVNWV8jWJH6ZQLC1EmLLIZcQL /sMQVkKRpUrWRP7lb0yDSZ60bkXFKv9a8YnhuWJYfrUhL44QgfBRIhFNZsYOZrCIVEPVBttoRUHI cVh0BKAFYVLCPBZwjwjzoxNVJkg9PlCEhdyfb5o3wUQaEEeQdOQjTZiJ3EnyfWisYQUvacihwfGA nKyjCdeAyFCmD4xptKQpd5fJKBpplfB74uHm2MjOxYU0nERillRptu0l8o1Q9BIgXwChBBUJluub ICM5OI5iFhOZVJDlCQ9ZkWNKAZehzCQeN8mSE01hcKYEZggtAxAaUaFsl8TMGlFIEXN+E52ODOLs QNlOEr1TaukEVzkiWU93srBcKpiLL+mYwVEwMV7tNKaEjPQOeMbzn0TrYiCXB04b7C3/dZikZJqo mVB6jiYiMrBcBFvpyjGuEB4Qsqc+t0mCgQoSmEKsng/j4aCa4ouW0ATcRG8armHyDqcfwGY2R8kr 7+lmnBUD0zIxcMvW/VKZSVRjj+Qk0ScY74+N3CcLb+hTZ3QViFqUX1X7dFSqZgNzX6wLOsLKLV7E aZ45TZVaS8qhk6qITte4agBPo9Vg8MmtgkSrKP8JIDUelK0/FKwiNUpK/BmVh1UEm2Lrp02mkLON dZtsRkEYB17i0HQJ0OwpCesZAUZ2ciK1HyoZMdad0lGyfBusYdf5Sj8iILWyDSRtuWnbSWo0JKb1 IkZjSdSocjSundMlXQmLXFZmFRGt/5Vrc5O7Uh3ydroYfO5umYndm6nzsAgV5HA3Ky5AfbW7Sjlv 5vyI28VqDoftxWrgCjle9cF0mtxF78dIatzw6rdl0qzkcf/rMeQIk8BC4ytLaYbgAnNsqbVssIOH Nj+PSvhg2mTjZS9sroKK0bVT5fC9lBvdMvJRxNeSJ6XkZ1IUp7iCQD0OYF38Yk8G05N2pXGh+Btj c5RVx5Aq8fgq/MHWqBfIzfiw+R5D1D4iWU5QhS4CW/zkt+oTvI3JcZWV+q51gTipW27TlDWIWBeG eU/FTeWAz2woiH6SnWzmMo7/F2cqVbbMEa4zksQJVzjr+a7x6vGX/4ydReLZzIQu9P97E70i7T62 toxWdJqxnN9IpyfKfb6upYWDRDpvmmTPvdOnG71oI9rUmss7MpXzWCRUM7DUow4TIQXpaufC2ou1 fvWtq5hr6s5Xkt6076zpqFJjZEzV9/tZIovtqZ45O7Y3GnYb/Xmv+oK5fMumUa/dZAC9rtcdjz60 DE+tvEzDw24GiO+JXVYyZONQk+sw3W2jDW4vA9SR2+6yoJ1RN8rR2x1SuXecIdyNBUxOtNdOTmnX Xch831QpBg+tt1ddi235CN+5KEtorY0yhceuR+4uFoKeaS6Od69VahM4sRVaI1jNTaQmty7Owh1y FRa15qWTLrt7GmtOb4rmPSe1soP/vh9pEx0vOFf50V/z66VnJumQdXpZoB51qSeF6jK3OsiMrvWK YB3rXafkrsO+DrCDnexYbDrat672tU9s7G5vu+7i7nWu093uybw7tvCu99X5ve9l5zvgvQr3wdNG 8IavgtkTn7LCM/7ncn/83+cu+aEnQ8uVJ7ywopX5yOOM58IO/cw3T3H9jT7ZqCdgcn5zed/t6vU3 /9XNSxv7Y8v+9kDC/XZsz/vdw3F2wIe97Gmv+/H53vjqOn5fgl/73wu/98iHrkXIaI1SWD8U188+ 9rev/e5z//veDz/4x79H4J2984f/OPq9e/71U9798I+//GscYj/Xv+o6T6aSxQ7y/03GIn/7h2j4 x398pH6ssGLANVdcBCRC1hszpW8zRnAy1ScNKGNrwQX7lgVyRGks5oC9UnFtw4E95IGXwlODkoEb skR+4n9bIm5HtThYsmCeY4EKJiBXg4CysHDd8XDeQTu1YYDQs1U8ZH4wBj0o6GNstC5HmIJaUljK FDoNsRI9uISyY2Qf2GUpZyr4gjL7JIJZloUS+IJgiChqZS3wZj5m2IVeqBdAKINLAjvf0mThY29y mIQGFYauN4ZuOERjqEF4iIR2uIY/ZjKb0T4u0XGCmCcnSCkV2C2f04ilkiVaFYRKZIbdslVsITv7 Ai5puF360olykIU5aIC5h2nv4f97VHgxuJKIJsaAk+iCGmiEojhKYPgUTMaJejiLlQgjK0iJt9BY u7RSf3UQAfeESriHrzNLUnYHnGiDkFgpTUhmqchaAVKMtFgPNxiDM6eGaNFp3KiGrEiBRPSDm6gx 4UiC0HiOFpiOd/iMpsIkCXhllgWOgDQSpaiAamMP6khWM+SOTvh/lwiB7EiOH6cof6iBWROQ8piP 31FvTlZpGLNmwfWQzMVwDPZtmjYrkHZ/89eRHvmRIBmSIjmSJFmSZNd+Jvl5KJmSzjELdMiSO+I8 GgOTVeI8+uiPNMk7CFmIOJmTtOGSjaVhPnl1vACP1jiUbBeLBbmSSFlW/2eUmdgVlETZNtTXk1IJ DeM4k1l3lTIDTREAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0192.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

A Comment

Under the c= losed string tachyon condensation, we can

show the entangle= ment entropy decreases in our

holographic examp= les if we neglect the radiations.

= ; Probably, EE always decreases as the energy

= ; does under closed string tachyon condensations

= ; because the radiations carry them away.

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0192_image333.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKQAQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAm AA0AgQAAAAAAAIAAgAECAwI5hI+pG7EPownCyStptaf5D4aiJpQcUKbqyrZtY7jyLDv0jVf5zsL8 X+mMhkQSDINEaE7JpKcJnUAKADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0166.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

④&= #12288;Geometric Entropy and Phase Transition
= ; &n= bsp; = ; [Fujita-Nishioka-Takayanagi 08’]

•So far we have obtained the evidence that the = 3;

•entanglement entropy can be an order parameter of

•confinement/deconfinement transition.

•

•To confirm this directly, we would = like to work out how

•the holographic entanglement entropy changes under

•the Hagedorn transition.

•

•In particular, we consider the Hagedorn transition

•in the 4D N=3D4 super Yang-Mills theory on = ; .

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0166_image334.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBQYGtgYuQEsTZEMTIAGcysjAwMTAwyYFlWIOZkgrGYGBmhLEam//// g1l6jBJQMW64Oh6mBiYFNiEgS42Nn0GK4T9IMYMAkH8AyNoExA+AyoyA6rmhangYfBNLMkIqC1IZ GAzAdv9mavgHceEEkKUMLEwMAiGZuanFCn6p5QpB+bmJeQwrVr0v3wjECgYfyzdJpLGzANXpAlVz AGkjrhJGO5BXGIwrYfxqsPsNKyHmH/gLM5+RJPMZGUD0B7g9CkxPmUEmBFfC+A4MED66PaAgBNkT XJmblJ/DwPBGiOvql4/COP0BsYcRbk8eE8iILZVc0FDjAocsOHigYSYEVgu1q4GRiYkpuLK4JDWX gR1kLgNQhyJDF1gDiBD4IsyA7idmsH4AMLRHHiACAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0166_image335.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOQAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwAz ABEAgwAAAAAAAAsJCgYFBQMDAwgHBwwKCwcGBwcGBgUEBAkICAkHCAsKCgoICQECAwECAwTDEMhJ aag4axz6rt4nbpdUjueoZqkwBERhCIS5ai4s0xYlBAcDgBZA2G6VX3BIKE5CkkQroDgiJ1IfFfQM CJ8C6xXQ+ZrCPQkCaPmmJAtGhbHArA9troTRxHMyCHJ7Rhh8bCQUhgMgUBSBAAyEGYqMjXtNiysI DZIalDdNBSsGXiqhGqRJlhsIAp0SqVpvEz8cs4Bykaq2GgoBaBJKI4+DFL7AQ4d2MA3BAwRmGnFz dWrMztAaBAIGC1Ix0WMS293fMhsRADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0204.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•However, the direct computation of EE in the compactified

•Yang-Mills turns out to be quite hard.

•

•To make the calculation simpler, we introduce another

•quantity called geometric entropy, which can be regarded

•&n= bsp; as EE after the double Wick rotation.

•

•It is simply defined as follows:

•

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0204_image336.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6WUTWgTQRTHZ2Y/s2ntmg/zKa4oQYs1Wg+iQfAmlChichIPVolVaLpiAyF4KeKp J9Gbpxw8iIhYoR4lJy+iHgVFj9baQy2UGhtqnDdvds3G9qAGBt5v5j//vHlvdt69fnmf4C/bNEkI grkxCoHynhGikqxY1PgIMS9ilMqIsm63K6KDNCnnwr5ugHHPbIRHOX2IpEkXxMTm3OLRYz5aGUKK Jt8jNQPk9HjtarlxvQJ/wxfIOnczZYoqHyMUvWNsr75hQBTl0ZKJc7Ya1nHOVt+GvLnlQW8unvA8 kwFPKj3LpJhC7QGzmIKzd9jMT1TeoULPiF2+Vq1MO2cqdeecWx2fIg8fLdfn+HAOrdSHM1fa6MlE 3qNWycxlYOvhBvINbT4GnPf5YzS4Xo4AH5F8jM1v7+W7Wszs1d/WF3Vgp4H5tjb+LV9F1OKbn3dT ZUlopeMg1/RRkef+32wD75NcUI7v6F0vKAviHHmf7w2hPiT9d1oKjybdicomlWaQealRveROElKI W3tWV6JbVhozV/yKX0yDxQkX+YGeCQF/l/zJQG5LfqIhr/n6owbwgq9H/uLrkT+7XgfyogPPJb9R Zg3kTToSONeHhHV263P1dySnDSfAYl3+j20gdySvMeQfrqcPDwJ/9fXIS74eedH1Ov5MBR7xOa1g Hfv7Q//yS+jvz60UOEy53o2/HO/lV8pYgJ8aCbOXb2oTIoNTf9SX/teNr+kdcaNLrscvtgGfd70b vBgN8oWAvqDsCuib6kmC65Z83yzxBlJ8cEXuEfm6ibsxQxljpcZ0rVIlbciT8B27yazYAN+ivRol /TVVxP5fZfNSK8oFAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0204_image337.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh/gBSAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAD3 AEsAgwAAAAsKNwsJPQwKMAcGWwYFXgoIRwsJQggHVQkHUgoISwcGWAkITgAAZgMDYwUEYAT/EMhJ q7046827/2AojiTYlGiqrmzrvuUJz3Rt37gn53zv/8DLLkgsGo+iIXLJbBKVzuiqQa1CpVNrdXPF ekPdby0sIYvPGDNt2zSr0fAycPfmueN4TX3d5ub/Fnswgjh3gIcAhBoBBB9UiwUqBAE6foiAalpW DhQGDgIUBwUNDggDApwUYQkKgZpUqRYHDgYdhpd5ZrMHFQUOlBKeFQcNCwMAqA2NqhkPx6EOvBS+ wBcBtBy3uHFmCbUUCw3fAAENoBQPQwINDBVdAZEV3hXh4xjE1WmW29wbBc8SErCjQCCeqgYAE0mb 0IWVhX8UBLbjUGBZBm38zggy0AABhXUT/wkWU3XMSrOEFzh67MCgQb5A+zJq/FDOYEBzFq6NDAFv Q80P6xLoiSnzS50BDmJNGIVBp80ODjMgVcphQIOn7ogWxVKHmqsMTkE40+DVBBmMW6W8qSfEjIOO HnpmYAvmrNa0TtRITDPEaoV1daJe2JvE7lC8eh7N2aCSwoAHSxFOIPa1w9iUcCc81oGV2WHEQsoo UkHmJ7gFEwSeA9ByNbKdPjuTu0oPNYd1K/V9Bn2RJwKqYKQmpRAgXCsJ5UISIPVNgC+UGAQ7Hj6h eIPjGxTg7L2bhChSplChIZRuNMMMo165JGjw04AE6UpBx3C5l/r1iWQoXmpRN/cSxBiDzP9b/UXx iCL7jWAecQ0sVMQJEH6E33/+kZCOhCEZKFphKCzYyS9HKDbEA/ZUGFqHkjHkYB/n1dUhC56s+AMd EghAoi13gbCcbWXMhwSNHFLAQDoPZAjAdw4IlUgLjBgB5CSVdCeCTjwatWGQEiwAkUAWEePRAOl5 mFeLwUk55VuyJXbfDGxgydFC4Ux0IXLFiMlifknkyBOavOEpwXKh0OanaHbKhFYJb+XWwn0JFkKH EootVw0phWZ0aAd+SVipWYx22qk7j4KKnAMQIXDdFZ6mquqqrKZqIkwjUCaqI4yqtcMoDsKmAAFo 8rLpNpdy0JqEVXL1amUAaNelOBIwAN3/r7gEu8Fy2CDznFGGNUVFNaO0A2ZurwD6Y6Mnekaanhu4 Bx94z4roJKxkupLgkA0U+eErP8aLrL4xoHsuoQ/uK4cKArh2JLQpYLSptAln9cSxYipZQTl3Urgk Q/oRwvCLTHSBagoOLLDQAAaE03EmDp8XoQn+9luxuTCTwEB6IdeCcHUFZvPnSwP3jLHPOJo5xUHk 5hCGx2wW9opSnriGZHhUyTBLiRcDXbXGLZMAxc1Bl5uyC4Ts0guIwVAV4DHJFLjDNSUOsTW//nL9 dhBHH/vvB/OAwyydBs9Z40Aw42Pu3FU7krXWMftQt9eLhgBRaoD/iRUVCTWYH7kVYawf/7xFCw33 oiYZnaDHRd/sYWMTgGTBjiRt0BLPSXt+SMafy+7yCKZBbjA5bxW7QVBGH45J7RazYN5UD73DpwdW pQm28H8AyfIgJJR1EFjL28L114zzcyDxdjcsAl2zZpCoDtsnzj2wVxYe5QuKELZvpql3LjAftucy eJ7Ug4C6BJuRwCgAIqvr2cJ5jcsfHqTnPvWsb2g0EdQEFsAj1UxgWPXz3QVwEzwF9mNQ7uva85hH HeQYpzqRo1ZzrsUB7ewudsWLVqMQBEOK3CcfBZmAuuJjCg9kroMxTAsN++eCcshIBOuAXQ27h5ch wm8GnlDiB25kB+ghwokjhEGMSGAjqozZYGPe498TadCkEUBJcVacXWXIZbo+TS+IW/nYytR3Nzfq zIPRaovVTKcJO15OC2lUY8og5UcxYPGD+6NjIZegsfThj0yEW6SGyhS9wblNkl6AEO3wOElOYhKN S5pj+MaTmE8ay0+aBKTV9MdEUzKyZ2B0pSzHSCN8rXKWuEwaA0eZy14a72cXoUIEAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•We parameterize the three sphere by the metric= 3;

•

•The Zn orbifold is defined by = ; &n= bsp; .

•

•If we perform a double Wick rotation, the geometr= ic entropy

•becomes the entanglement entropy.

•

<= /p:recolorinfo>

=3D

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image338.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBQUFrAzMAJYk2sZwQxmL8zMjAwMciAZVmBmJMJxmJiZISyGJn+//8P ZukxSkDFuOHqeJgWMCsoCQFZamz8DFIM/0GKGQSA/ANA1iYgfqDIwBDEDNQDVcPD4JtYkhFSWZAK VAO2+zfTgb8QF04AWcrAwsQgEJKZm1qs4JdarhCUn5uYx7Bi1fvyjUCsYPCxXEEi7R4LUJ0uUDUH kDbiUmBaqABykqYOJ5TPIgG0kqE4My8VpqJQEGS4RiZMRRAPTAXEDQ3/yHMDIwOI/gB3SwnjdnmQ EUaZMP5FKVR+hCgqX54flb+ME5WvwYzM/80UwgLia8L5C8DyxnC+EjPEp+hhC4pskL+CK3OT8nOA QmJcS048EcYZthB/McLD2FMOZG5aJow/RRrEr4TzA4VR+WwCIH4hnC/LAeFjcRcF4a3ApCkLMiEF bo+hECr/Lxsq35wBwseS9tDDZykp4dMrBjJCG27PbS5UfioriG8L54eDfR6eyQXNGVzg3ANOftB8 IQQ2G+q2BkYmJqbgyuKS1FyGeyB3MAB1KDJ0gTWAiCfPhBnQw4gZrB8AJ98BuAQEAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image339.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhNQEjAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQAw ARsAhAAAAAsJPQsKNwwKMAYFXgcGWwoIRwcGWAsJQggHVQoISwkHUgkITggIVQAAZgUEYAMDYwYF YAMDZAEBZQECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwX/ICCOZGmegKOibOu+ perAdB2vdq6n+O7fs99OJgQEZIJaMFWEHVVJ13LZBBAIyhG1Jiigno5oVrQtXmnTIliMSosKbNrx ITIcIKrHAdEqV01zJgl4XiZ+P2c6hyKDDoV1EAEsgT+LO4k2lnIOdCYGCSdLCBAGOQoOC1YOCVEC CY4smn+nqSMCEAoAAxCgMX9Fh7e5u70GEC60QrK/sU3JJnuhJLelNQUOCAQO1SQGDljSzCjXfCLC IwXHvuJDJ+dvxwIOki3kyuyKTfYlA52GJQjCKHHAYBWKVwz+4TNEhcAjANfWNVtI4pBDEhELgOuz bKJHih2l+FFQSyKJiywM/2gr4O2ANnqAvinEp9JRyxEFuQF4sEXTomsH5JkbNPSYAZ5wwpXISYLn kYSeVt4UoS0XVYEABPBk45MFUKFZiYY1ijQOkxJVR2hrxbOBVAcHll4jENckTqwmNEpq5M1SDzIU 9QLgOwKCP12wtLw4dKDUAG0ieAaRrEDSqboVURgmMcDRgnl5CezFwy1goc7+8HBdjKKxLsg7cVC2 DNeuCNMiUBd2EEH0YNIjHifoBwDCw0NHSp5UZ0RFZ79UgnSUQZ06WuZPBog4VV1FSel92tiaQr5i T8AkuHdfAHv5iOx3az071Qu9X/HmypOJHh19/O2oACgBds6phQVJELlRRv9nG41wAGi3yfSgdm1g Vp04D8IU0EZrnYTVhR9VREA55mnBn3lEeMjGWn8BkOEIG6p4VRQd7pcifoaMyJCJJdrYYo1AqqCh TIyARkASePjoR4tHPPRKKgFB5Qk2FL2XWJHfMZcVkSJ1d+ODKhyn335oaCkPFn81ScKTwTmgjm5b HsaRlz2AeSUPPObZQmdvcpLfnWwiRgdxcC62xYMkPkfPIGbdUl+ViLYJoZojvALTGCYM0IhBZHbq aQuUFinJX5HmJuQI3vTyzCtW5XCIpnhwiuenLZ6QKoC1vEKlqRAmg+ApUopUQpIOukkCAg8s0MoC uDRB543EivAggVJ2hln/Ji4cxVwPf9V6wlNt1qUNhcVRMS0JBUHVYaGuZvvAtmPO2kK6MyI2gbnG SkvlkTtpKUWD8jJQUC9YKVBIAVaBVWUPAssKLlUAYxoDuWN2u8zDVmz0GUwMD4xugHASAIFZaLRB sZ4Wv1BQKiHHipPH+gZA3CkkunDEo6qUooAAnzEASnXgaGOdYjaehcg2AOzcc32bDeBSJW34Zsef ScjjAIXPkWxC00+PJ6U2OvNM0KMQREJLNvz6cMg3kky9pUBWYw3FC2UHcPYVAoCdtNg+17ENSUfo hAyE1xigFVzafVZLd0q6YfQMIbnD0wGJB2gLTw8Em08oXVxp3dBDu3B40+ahXY44AIrzsylcgm9u SOePfJ5i6CzAKoNrWU1euXIMvFsAKzagZMW7v6ztX5XIJ8+CPDXTcKbyyD+vQ946HBGHv1ArFTn0 3FdhjNYsfNZq9+KIv8MC49PwgOAKpJ/9DZmRL3+VxjTvAk/kzv8H/js8kP8LAVjfUuz3vplsT38I hEEXuMClBBZBejmgng2SsjCPHNCBGMygBjf4h0U4joMgDKEIR4gtHF2QhChMoQqVxx9urfCFMIwh +boiwxra8IZV8CAOd8jDHrJmJj4MohDJFwIAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image340.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBw4GpgZeQEsS4EMjIAGcz+jECCQQYsywrEnEwwFhMjI5TFyPT//38w S49RAirGDVfHw9TA6sAlBGSpsfEzSDH8BylmEADyDwBZ60A8LqBOoFJuqBoeBt/EkoyQyoJUBgYF Rg6g6C+gaRwQJzKwALEuI8RsEaYNTPbsIJYwkPWME+TO30wH/kJUTgC7kIWJQSAkMze1WMEvtVwh KD83MY9hxar35RuBWMHgY7m1TBobxExGsB1GXDqs7BwgnXmVWMxjApkXXJmblJ/DwHBFksvtxBNh HOYxgd36AW4uN5MP2NyCSgjfgVmIBcRPg/O5GCB8dHsZSPQHxF4muL1h7CAjjLCZi+4fd+L948C8 lhVkhDbc/VvAIb6ukgsak1zg2AY7nwFitxA0HsF2NzAyMTEFVxaXpOYysIHsYQDqUGToAmsAEU+e CTOg+4kZrB8ARI93ULQCAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image341.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhXgA0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQBY ACwAgwAAAAsKNwsJPQwKMAcGWAsJQggHVQkHUgYFXgoISwkITgcGWwoIRwAAZgMDYwUEYAT/EMhJ q7046x1Ia4SwjWRpnoPzrcXpvrBmHAMgIM0T77x7UIFPb0gs5SqJx2oZKDpfDQVFsVzqnlhSwUG5 DRTSxC9LHi1alkcN0Sy7LwnDhUEADK7vvEQgvzxEYnp6AWN7EwoLEmyCb4QUBwgSDA0iAw0DDIkZ DH1unDFKVVIFDZoCK20YBGhuqzA4VQ1NBJESKQ+sF3d5u4wagS4IDCbAFw2CiA0IdSeTwxvJyxjH bwMIBrsOmiY4z7rX2dsU1G4IkYEL5CUBKp0V5gDo6hPzWAaUAIsqL5PKNRT3ROirB4BgEUs6diEc F6uhFQoLFR4p6FCIhIoYq8Rr8CNQgij8uz4s+CfhY8eOIC0YJOKhxaIHXFyw42ihZb4mMKe1orTr Y64S3S54ENCzwU96nhowEHPKmwlnGJwxVZphJREFMBcYSHVCmAas2rZqsEokQC03Zn1pOJAgD1u1 GdTkkQvXQtpGZ+vq3cu3r9+/gAMLnhBqjAEHeQcPOWA0Xj58iokocUxRROQelhYwI0X2MomPDiwz ZuZ5hwfSSpyWhnLJlsXVMEht+1iHJGwTjNtK8BBH9e0RSlJ5MGDZQgQAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image342.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhewBXAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAAB3 AFUAgQAAAJkAM8yZ/wECAwL/hI+pC+EPo5y02osx29wEAYBiSI5miZ5qyq5umwbdvMjvDeN6zr8y DWygDCfikGUcJUlLUPNQREoFv+Ds08vuttquqGrlYLlkr7kMAocZtrMb/Yap1zW4PX7/0sV5vB8+ t3fQ1lf4xxMo6GHIeOiSKPgTNXlEqTRVmXlpSQK5R+gY2pimyDYqikpVqjCW6trnSQd6ShsXK1ub i3cb1qr728VrNftazCU87IS5qcm07MypHA0Vggzka5y9Y01DDPzNwt0NTp4j3oFdri60iuCtDX9y LhZffzO/kW5vj5/fLP2PGrOB0AI+OciunYd960z0q8MwoiqFgyRGfMjKYkOM8wn0NdTGsaPGfSEr ftxIceEzgARZFmwp8KVMlxNTvjtZrORCnOp0NuDJL+XOkeB83iSayihQcj6FLIVndGZMmlOrIpx2 NVNTj0hHKe0KVejRp4a2kgUp9iywqGpzCv0J9tdXmFnprrR6FyHbuG7T8s0196+rvW1PmRVMK3Bh VIQRh9paV2pkqpPxRlPsuKzYzIzfcl1sBzPoP5BHN2psmrTf1IVKWzaYNzZWTKg55xFt+41r1n5q 80aD+7eX3bnv+C5+BnPl5bJhYyUuvMzx6FqCI98C/bqZ6dp1WKd+z3N3W5uZzz7vPD0psRnau38P P8PbAgA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image343.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhKQADAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAAAm AAMAgAAAAP8AAAIJjI+py+0Po2wFADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image344.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBIYFrAyMQJYl2OZWQAMpjnAdlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HqCZCUxCQJYaGz+DFMN/kGIGASD/AJD1DIgVgGrbgIZxQ9XwMPgmlmSEVBakMjAY gO3+zdTwD+LCCSBLGViYGARCMnNTixX8UssVgvJzE/MYdix5X34QiBUMPpbXiaZFsADV6QJVg7xj xOXAaMLADGQll5akckHt4QK7BWwg1BYhBg6ELQ2MTExMwZXFJam5DAwgExmAOhQZusAaQDoFvggx QGxhBNMfgDLMYP0ATorSklIBAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image345.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAAZAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQAb AA4AgwAAAHAKC58JCpIJCoIKCrYICasICdIHB8AICNsGB8oHCP8AAPgDA+oFBeIGBvEEBARzEMhJ qwVh3c1B0V0oBQw4Cc3CHNLigi+YvghgMAMgLI1kuBMEsGUaLAwTR49IGQKcCZPF+TQ5Sxyqcyut aK1gwuY7caaQE3S1CQ4uHjnPo2wicCmP2EIwidYGCi4PPXkDAg4SBy4JcUlvBU8JBQEAA3ksEQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image346.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhfAB0AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAB7 AHIAgQAAAAAAAMyZ/wECAwL/hI+py+0Bo5Su2ouzrhMK8IXg+HXbiaanJLbk64aUStcrBOexnkf2 D0T4BERYsXUkJUNLgC8IvfF21KkVF802ItWu1Rt7arWerxl8JmHHwcDxzYyD4HM50U6/1+cB9g+H FpgmWNLnh1JGOLgYuHZ40acoyZhm+PgQ2aSHFKPp2Qlq5OJ4KTR5SkloWWrglvqK2sjaGgtrC7Z6 6LqZ14v3u8cLLByclzu2e6tcS3Uclcy8LN3iDAQ9jR0tUF2z+ykKzhmuFCpuTg7DnXKtnZ2tvsHu 3k4PjyFPPz9tzzHsW+wvIMCBxAr+26YCn7587fgxiLQwYj6HCSAylKiPYqtg/+jO2ekI8qNIjiM3 hSSp0cnFlRhlZFDIMua+ey1rToR0MKdAgzt1EvTJyx5Mm0RV9SuKlJk6i0mbKuLG1GTJbx5JWpV6 lepJrHqqDZUJdqaCr07L7nAW1axaL8e89Xz7Ey7PuHTnIjS1Nq+sA2nD+s2I96/ghavclNuqdeph xeMYVzVpqa/eyaNoUb7cbOPgzYBVAv0sF3Rd0XaJGJLMOfWrPqgxU2atOva+TIuz1uaa2HZj3Y+b JHItG1fr4MBH/CaOfBAg0sxDOx/9/Hjx5NSGT1crnfr1bbR3476d+7v38ORHkdVOHdB219nXI1/+ vHT85tDr3znt/vJp9O7x8////8J+5Y0HXoEEHtgbNZrl954QDOZVGIASRjhfhfbRJ99PET4oW1sS YtYWh2WhhSBiBiZYomMmOvHQh+k9JCJnUMVI1FIZ3ohhjhbed5SLTglFY1j8WOfjRQ65lSJvK6LI 5JLGaXBekIykFGWRt6TEopVCIqLjhTt2aVpCUkaDZUVj2lJmRVrOk6aaTqoIp5JxftfmWGtqU+cC VY6ZZ4tn4sKGYV8O6iVAffb4ZzqX7KnloffceYajL1k0YJNzkkcKK0ReJ+k6QWY6C1+MrtXpH93h SOhcoIYKo4+lZtHee68is+lfq7IKpXqXnoiOGLiamtqtv3YT6zvCDmvNENgSzIDsLCw0x2yzyHZA bbXHslIAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image347.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSgAZAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQBI ABUAgAAAAP8AAAJQhI+py+1/QoC0Wivl3fzm2YWiko2mWZ7q9q1u1b5yk842Et96rtt1P+MBX0IH aAgpPpRIwOcIe/6AT5RUc6sSr9iTdsftRr/NsNncNJ65tgIAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0205_image348.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAAZAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQAb AA4AgwAAAHAKC58JCpIJCoIKCrYICasICdIHB8AICNsGB8oHCP8AAPgDA+oFBeIGBvEEBARzEMhJ qwVh3c1B0V0oBQw4Cc3CHNLigi+YvghgMAMgLI1kuBMEsGUaLAwTR49IGQKcCZPF+TQ5Sxyqcyut aK1gwuY7caaQE3S1CQ4uHjnPo2wicCmP2EIwidYGCi4PPXkDAg4SBy4JcUlvBU8JBQEAA3ksEQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0206.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•(4-1) Free Yang-Mills Analysis

•

•We employ the matrix model description of the free N=3D4

•Yang-Mills. [Aharony-Marsano-Minwalla-Papad= odimas-Raamsdonk　03’]

•

•Then the orbifold partition function is expressed= as follows

•

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0206_image349.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6VVTUwTQRR+MwvYbiGUbik/YlgqMa5aEPFmTIwRDhIwsXCoP4kQ1p+EBSMYLBd6 8cLByEETfxJN/AkaL5w8stFE48GbiVETDxg9mSiGg1FxnTedGXcLCLFNtvu+eW/f++bNNzOvXz67 DvznJl0NwmhVTRI0tHmN/UED95ayJ0ylRQkRFqGe53GrhdSKsYiKK6eu5iZjzNpSVgn14GEwRLEa sx6xJ5cEGGJ1IiKmHLr7x073Zs/aADle+ye9tvSBc7iMRWkJhWg66wyMDAFM1Otm84IBMw+/jM+y x9y5MF5TfbKrhAWmWHSIvXfpc/RAKX66NbtWvscRfWD1fATw/dWX91MYU1hZxD9ofhx/sj72IE4z JGSgZTDrqZHnkPsNfzkAcug949ijZo89bh4ecfqHV+FABQciOLg0mcQUO7IST1UiNhXexvFxha+W Iz6q8OQGxK2iNye8/+Mle0MFL53ejGGKNlEnRZqbUBYpR+JEI/odhX/V8Xgnz8P0iu1PmOedJrca mbyg91yfLUcubZIjITHyuQG5WZbEYxu5XhR+XksC/mMctyl8sSYYfz8RjG+pDvpfGX7sQcrw54vT B2WI2xWu0PiaKjxDEe+2VtBSoZ4HF9fUs1yzV+RuFFN8tKQ2buiI91oraKNwH25evU6hZr/DXBWm uGdJrXTG8nWkFu5wLWy3VtBC4fzs9c9vmszzdUqpdVhK5OvIvprUP1936R/zbV7/fA9qbyKY4tuy PpIi99gT3kdH9e1Qgx+/IG/rEXcqf2NdMD6cCMbfjiPev6zvpKgzapq84/vpgur7ec5rQuEr1UH/ nrjf30FrDD9PU2vl5+6wFRbr1qHhjk5num25kqc4555M4Q4pruMufc9PUzsjsVmBJ8dgn8TtIfQf UXiW3zxphfdB3q+L+07ndyI/5MRtFxO3CFddjlBK09nRMduBLuQF7IsmmOIfYOXoogGFXdf4938A 4CrbxNoHAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0206_image350.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh0gE1AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgDK ASsAgwAAAAsKNwsJPQwKMAYFXgsJQgkHUgcGWwgHVQoISwoIRwkITgcGWAAAZgUEYAMDYwT/EMhJ q7046827/2AojmRpTs2prmzrvnAsz3Rt31aT4nzv/8CgcEiM7YrIpHLJbDqBx6d0Sq1aryMdQAuK Yk3cr3hMLnNSO+9Gbf6w2/C4/EbQ2e/2rX7vebe0aDWAfFF+WYGGJHgri3OOjxYODwEXdRJ3IWyJ ORqNm3wXR4WYlxSfFYaeKKZ4XnlbeYGwjShcr3qykLpzAQ+TFgWnGLelXWu4q52dhauIpMLFGYjJ hMVqzNN7aZzN09C74FK9DqEw36nI1OqJzMjt0X3KudWo0qbu9cP3zaC7Bk7/wm3oRcDGtTD5WOFD 6EqdvnvOqN0ilrDWwncNLc5rxVDhxlq0/3QdoNQkAAKBAx8UpHGtn8NLmzK65PYynh9NMR262lZz n0VQ3+QYKCAlQUAWARw0SGCFIMtyIOH1zMdx1LOKmUDGgnpMqsx3DyX6RDlBwAEqDgS0UIpwioKV YKq6bDlv6lh6yu66SVhXaliZ0cByDazXXBiKNDXGQrPTwgEFbtraUHB2hQAFCh6ctAJXRkZRpeie 4Tu6cGnQoOvl9Erabr/Ufj2b/plsEF5YFgQIg42jgVoVC35fGWmQ1eHD+9glToX80HGwPO15fa51 DXWYkmfYOvY5NO3sCCpn7UFg8wkETIeTPBQvb3RjedurqBv0tkBZygGnS5f9wdG9PhjwwP8KByxw BQKQXSBcVx3cJBZ8DEZ4whvnuPYIfrNM5Bdg3uS2VCaJBNDZCgn4pkKBqJAyzDkqemBAgrkVNIgm 87U4B2JknSEXVTMRRlND2VCwgIkpbodVBQakV2QrHehm4AkHMJCifCHRkl0GCphXQQHlYZddfTmG CUZiteHiiZU+duPXAUSuI5khDgwwWGwKNiBeCQfciVtppjXmgQJV3ZGeN5iIwtieYiY6IZnwnGJo mtrExuaRNGJg1pw9DqPnCAToeSVWFOYgzAOB2qFWNouMghuYiraK6SwWEnbdVoi11ZKXGiDYIIjz efqJfi99WkJERZaZqavI7krFmycMyGf/ZDVOuSKzmF5poxHWJKvteMtWOkIBUkrYh1UcLSPtucDG 9iZv2Ea67bvKdrviCAwQJW6DrNIGE5npzmTrkS/wJCy87+bbg7BBORsfrxP6OdatjCLaKMEUI2Ew eYIda0GW9/axqQi26tcvhRhdXPHJw37BpnAQd3DAghF7EICdxpUrjcOs9TlvdSj37EPLTQzJcswX DECOdLN5+GRc5wYG9L6hZOzz1E8BvEQwg3b0gVFIxzoBoDCzp1By7k5388MmU602AGwCuuMUDQSU Bo4aELDekiFxsIDCTI89dq3XNp3h2oSrQIAkZjAwYhCAsHGAliU4cLS+RqRd+OUV8C0Gg6BJ2IZK 2CPkKbhhmJfOQgJKkuEAjEO8JwFlLIjut2eWm074AvaaocDkra8Jeui+0j1s4LYXHyYDqUPhVwH/ nfex8dBHj4HdvUscwPMkLIC99NxL33wS35+wQPjdl28+OAIkf/767LfBQAOY3d3+/PRfYcfi9eev /xJDOiD//gBUQQQAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0206_image351.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6WWXUgUURTH74ezOzNuarvqrpq6rrruVopuYU+BRAZFibhCkCHaslGU+bVoBoWI JETE0qMPGz0lvkQQlAURTJhFSmhQhESI9Jrtgw8KbnPvfHSPGPQxMHB+9/zPPWfuuXdmPs7PTiJ+ dYWRihRm9V/HzKD9WQhloT3cK+m3QiyLYGxamGQyGW7VYZ85lm3rXASpXWG3bgUduagYZZgY5en8 Urdm9NsfRmhGT5ZtalzoVHfiQvtIXxyhViLroxvEiGCXXhCqxcbc+aSe9LmZ5dGtsRJrTC61xpIh K14G8diMX5aqVUO7LD1U4dyLzhOS4Vt0ns1ha7BJRreMWZKYz0VQXvvFnvigvyU+7G/r7em+gqam vw8/0m9//Y/hzsD5DmNOwvNH1Ih8M4eF1o0YHFfe7mIctvmgyrjB5g8K45DNd2SofyFBfack6puc z52sFQ2NVv4Q5fE2f+J9DJmcJLMhxvtN1qgWFPUara3EwnwanQ+I8RqdqID6J2VQf7pM1KfwVo2o T+GvPD5i8/tyMT6F+8phfKBU1Gt0rRjmP+OF+TcKYb2PC6B+1Q31426Y70YRrHelANY3VgD16x7G jfb6tuSJ8UmylQPX/4sC/Ua/f/m9FPpfm/0z9qc/82/7k/JzsWbv0xm5VhHXNd9xKFt8zjlHoyr6 vTQYEDmNElWiPo3elEF9tNDg7XXjvzxXRt3Urrucn6crZp4xyThPFt+VEc9wzK7DFxT9aRStgTxR KbKXNhdD/5LPYJXzGrntcujWUDyW6B2wxtYlNjYY677UPSCbY0YdR2Lb3yv4v/oWV1pdbIarMYs/ O0VuckYVkSNygkA+iRhfi1n7/3i16Nfokl/kFB4PQn4agLxRCuOHiiCjAqjP8kFeyBc5SSZzIa9k i/UmyV4F+psl6I8R6Leed4f3O2F9iI70nOu9rO+YYvXA3KrnD/dhXCnjddXafZhyiByRXVmMD9vr 4K0S/Rq9Xy5yCrdVQ37G+7DPfo7lEpE1etQH51vwwPh3hTA+slusJ0mmVejfpIZ/h/cMWKd7heqD 36/T9v2a73gF8qSRZK6Dav4NqPyPgb/OkJHbbX7Lee5RTAiJjgwm4j2og+VBekQFusUD2Jdv9ZsH be8R5fE/AbeuRn34CAAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0206_image352.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhgQFhAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAwB8 AVoAgwAAAAsJPQwKMAsKNwoISwoIRwsJQggHVQkITgkHUgcGWAYFXgcGWwAAZgMDYwECAwT/EMhJ q7046827/2AojmRpnhjREGgLNI0rz3Rt33iuk0UQ754fcEgsGo+3giGA1DiQSiZFeIo2r9isCLYR UkeCw4D10sG+FgO58kN3uZrw+Bxzi+Rku3bPN+onXn8dBGoDgDheGggIFm2CbIcZhASGUy2TlWV9 m5xAj1+PGwkACgKWZhkLDQuQkVsao6VTcCaxpq6duboodYESZ40XbnC0wjuOv3agGILIL6EgxH/Q u9XWs7/YmqetwqHUJFTFwdzdzNo24+fX7O3G2a5owxnQ4K/l77j45tvpQe4AASaKRy4ZHXn/EPEr CA/QwXn7PjxE2MFewItIBjakuFAfPYUd//Ep+xjSRT2MKHVprNPQYz9L3260OTQt5MhtLP3FPHGz T88sP9PRciZOHUR1JXnSgYc0HtJhSzU1NeGMJFUNFkGuw1KTq6dOWa+FdZmUyCevXYCiyjVWJb2o +Z4lI/sWWIuic1uSPchL21AtbdPy1JqSrlSsjThW1HuVjWLGTO8mZlhYZmWfgiMW5Ut5cMfHZSV2 7jfxsmfTaBF/DhG4M8RnnCOGGw1uou3buHPr3s3bYWzYvIMLH068+G/GAgJIYfwauF3DFwzcsuoS NOQS1jfDRX2P+xGNAQiE0ZdTdj5oBzgsA/2a2nTK5aF7H9F6/ha4CQSo4Vb15ZvnARQAwP8AARiS nIAJBGAAAAcCoMR0AxXTnG9wDDBAcgMaYAiBhpTCoYPSbZTXdVeosAZguZhoTVMKGKBAaIGNQaB0 Fi5BCQJMDGBjGMv5NxoIoyxRQA8KCmAIAgYIWMoBy521SQ/12UcBlGJdIMAoCSZVnxgvSjAKAmMg CcCXA/TwI4kfMMCEAgGY0qWDAzDAIAJmmudjQnfiScETrbRmBZqnteUGn6f4uYR8PyZAQAGM/Fif ogMkcKikDAyQHgNXGlDpKHHZ+UGjCZgpKRMJRBoAI5zahJ1Dp0mwX6GB4eHpbCPSOsGrkUzlgayI Sulrd4AuNsEi5QSGSWisIZsZAMTiYmz/Icr+Ku2ywbIqV0OqsKJXbcjYEq2ws1r7lwTZkhdNt6S8 l+e07Kp3JjPWvWSRrr2CW2+t1y3D2k7t9qtntZptBXC46yb7rY9Bzfuvvwx3StpDtAksL8TKRumf ds9VJzEoFBNsccOVxUvdXgcXfC+1Jq/WqcL2guwyc9FcvHGy/Pb1bXz5HoyzxC+7vFlCEqoGm2jX jmyzQUCLI3TGgtH7cc8oPb2u1A63apLQOVANdUAfO0mYDF27m/XWZKfcstFgf73q2WmX7fbbcMct 99x012333XjnrffefPft99+ABy744IQXbvjhiCeu+OKMN+54J38+LvnevE5u+d3HXq45/93eorP5 527PBProZItO+ukNd4z66vbFZjrrsEvbi9ax12777YariPvunEClAZW8Bw+YyBUQKvzxGSmLK/LM mwWTL0U32/z0x/jlebnUZ0+YRmZr7/3ROBH8/fi2hn8y+ejbu1L36ScelFkSjktv+4p3Rf/9jWGN //7HiUTU/gCMDNrGQbsAoq4ZDuNY/wx4PK/tg1vGiaAEjcPAkFkgOcrRGD9KU0HkgYcFIZKZvjpI vtjkJxMtqUoBR6C71JAwJS1KVbBWKALgvTBwV+KZ+N4RGDQYT0RVOBT7bsiOBDSqakPsU2uosDyc xEoMa6AhEX+ltKNJT14nyNzApvi2EW9WRIXkWoVHuDWXzm2Ri2XzYhCy8y54iQ2NeVMj2yaUxJrB 0W5q5GDAXDOLBdrxjnST4xv3uMNqSRGQFizkzuhoj521EZFp9A3RgiYwpqlGV4eEZGGkpgcpZlKT KQmb/mrwSVCG8mqDpEEpTRmCCAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0209.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•We approximate the matrix integral by assuming th= at

•only the first wave mode of the eigenvalue density

•

•is non-vanishing.

•

•The geometric entropy can be found from the free energy

•

•by the formula

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0209_image353.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBYIMTAwsAJYm30YAQxmKOYgASDDFiWFYg5mWAsJkZGKIuR6f///2CW HqMEVIwbro6HiYFlgZAQkKXGxs8gxfAfpJhBAMg/AGQtBeIEoORSZqAeqBoeBt/EkoyQyoJUoBoG DqDoLyaIDhBgAWJdRojZIkwKTAdYQCxhIGsJG0yshhsmVs8LcvtvpoZ/EN0TGMFmMDEIhGTmphYr +KWWKwTl5ybmMaxY9b58IxArGHwsfyGZdhViDyPYfiOuBqafgiCtOpWcUP5uXqCTGZLzi1MhKtYw 32IBqTDKh/D7GINYQXzDfJgJ85hAfE043wYcghr5EBcq/CfPhUzgEPkAd6ki8wMuiL3oPgeKMoHM Da7MTcrPYWAQVOQ69+WjME6fQ8xlgocAMzgECvNh/v3ADeIXQPmNjIvA/CK4fAcrsnwD0yJGZP0N TG4MEPVY3EmB/xuY3vODTMjFCFdGEmMe1f+KzIc4IeZC+A8Zp/Ig23PgL1L8oYRzJzdXFO5wRnf/ TSZFDpART7GlC/T4u0B8/E1g3Ad2/9J8mH8KwenENh9LDkF3fzTx7m9g+scGMkIbHs9NzBB7uKD5 mwtcBoCTOQPEbiGwXqjdDYxMTEzBlcUlqbkMV0H2MAB1KDJ0gTWACIEvwgzofmQG6wcA3wDv9coE AAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0209_image354.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh+wA4AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQACADx ACsAgwAAAAwKMAsKNwsJPQoISwcGWAYFXgoIRwcGWwgHVQkHUgkITgsJQgMDYwAAZgUEYAT/EMhJ q704600DKQ0njmRpnmiqrmw7GYbjuHRt33iub/Lu/8CgkNYbGiuHmAMhODqfqyI0GDAQAFXHY8rt aqRe3SMxGYDD6Ok5TUs4mpM1ex6U01MBLcW8vfuBdlxFMjMoBA4KFIcLf407gSwPhJOUlTOFUoUm MXASDwaOoTiQKwINDqAbAgU9mq4neW8TCQ2dorcspKUyqRsIlxKZJ4eoWAUPtrg4Agi+yTqxATsH MmQbDJituheS1FqMcZfiyisHDQMWtEsADA0HP5U7xIk8NQLFGdoAmn7qzSrmLJi6EqABGVPvyGFw 4yBhEAUOruQLRtHPQCwGU9xDR+GiBAQh/9jJUnjhlwMGQiRJm7ivIh2PAECmQNDrxb+Pmgzc9MNv Q4xaQO7VtIDJJR2dFH5tSCKDiQQz4CYsaEhBktSRPEucCtml6L6e6WQUqLBA0oOoOAvcm2Ay0YIG qQR8ojDVIQCrGKoQjNEHIscJDfpIyHPTDL2sJEzhUwZD2lwJBQxIg3izwLssFCAKuBJjgIAAkv4G 7rAOw5gyRWJUIFbpcJ6hXy1tswF2g5nSt9zAIRCSGkrIDsBpWjvhEwFpMg4gd8CRNaXDFXRTGNST EwXr4RrVXioDraNTJflhS4XqN+kEV8ycE5kTKwDsFfIIBsAnWE8HXAEIrTB7iGxCIyjQwP9Koshx RhGsNKVIaVOlAtFYweS33wWHQLeIfXvgBoAbf2EYxX8gUvIFCgY8U0OIKAI4nQMEZrfiYOo4YA0A rCQUAzjdPKUhhxjAd1cvMRAI1QR5QDgdbCEesZ0GCdglSo4VxGDePkZKcMADXGVSSCyoRVVkXjJ0 QksnfnX5AmxmzHjHkhgQAF1u+EkTwD+H3IRNQizGIQE2EPIpQZ1Y0BfcmRkQA0oAx9hyD1qjIQob AId0SAebFjBQJS4FESLZC4NWMSMq6BwAIUQSuSERKwQkAE6jkVXwS0LdyHBWSTXJ9U2PO62ZWK7K MKNFMmXdGoevN0kCh0rAIfCXrbNGiaX/fotlcM+UtrlH0nUtEnFtDSGQKoI5JnLj5LbvhUtWCf2R W+gVyH7bALUWDPDAuCysIpakPzT57XwiUKruBgugNOEIzDhzQ6aTwKvDAt5loJM+gfj778QSJKCA NAPwFcQBambAVCIQ2zdJSxSXnAF090hc7ykpEsKIV0uqbHLJeigiSSXmcsByyzKgA7PIAMr8582U 5DxzGoNeZQm/JSjBc88/szTCVEsfHUo7e0jGMKRvGgHzdipykHEAW7tp9S0IKPyANCWefRfbRrvt RaoXiIoF0yXbDZrcjQzQcXHomH32A4F3zTcaAkD31wL/tG014xI4fjgbiWeWCjXo5BHALQG8qos5 FixyPnkaRLss0j+3WasuNqgTEvfoQTg9SROtDhaYwuTWjtEDuJMTAQA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0209_image355.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjA4wKjAxMwJYn2KZWQAMphPAtlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYFpgOMQkCWGhs/gxTDf5BiBgGQbUDWMiBuABp0DIi5oWp4GHwTSzJCKgtSGRgC wHb/ZlL4D3HhBJClDCxMDAIhmbmpxQp+qeUKQfm5iXkMK1a9L98IxAoGH8u/KaVZsADV6QJVcwBp I64HjApg9xpWQsxr+AczDyjKBDIvuDI3KT+HgeGFJNeNLx+FcZjHyACiP8DNbWB0YwCZW1TJBXU9 F9iHYGdC3S4EVgt1ewMjExNTcGVxSWougwXIXAagDkWGLogGIBD4IswAczvELkYGZrAMAPzEgh6o AQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0209_image356.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhFgAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQACwAO AAwAgAAAAAAAZgIdhB8Zx5CmmmuP0sVwlhpCXU2Ip3SiaaGptLJfUAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0209_image357.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4IPSAiZETxBLwY2QAMpgtmRgYmBhkwLKsQMzJBGMxMTJCWYxM//// B7P0GCWgYtxwdTxMD5geCAkBWWps/AxSDP9BihkEgPwDQNZuIF4AlJwNVM8NVcPD4JtYkhFSWZDK wNAAtvs304G/EBdOAFnKxMLEIBBcmZuUn8PA8EKS69aXj8IMK1a9L98IxAoGH8uLJNJmsQAV6gJV cwBpIy5Lpn2cIK1PKyHmKfzHZd43JS5r3OYxMoDoD3BzPzBEc4OMWFoJ4Tcy8fGA+LZQexr+4XH3 bXzuhtjDCLXnAeNUNpAR2pUw/iQmZHtQ/MMAsickMze1WMEvtVwhKD83MY9I/zQy1YLdbwi1x4Tx DT+IbwTni3Ai8x2YlrGC+AbY/EuCOzD92w+2twbu3988ED66fxkp9G88OP5y4f7ZL4jKn8MH4udh +I+RQv+dFwCZEAb331l2EN8Pzl/HAuK7wvlyYBvdsLkDPf3aEZ9+HzCu5AWZWwS35wIziJ8E5zsw QPhc0NzJBc7B4OiF5k0hsFnQOG9gZGJiCq4sLknNZZgFspcBqEORoQuiAVSyfBFmQA8TZrAMALGa 3YCIBAAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0209_image358.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh/QApAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIACAD0 ABsAgwAAAAsKNwwKMAsJPQYFXgoISwkITgcGWAgHVQcGWwoIRwkHUgsJQgAAZgMDYwUEYAT/EMhJ q7046827/0AjgtsYmmRKio3qvnAsu61UxzV6z/K988CgcIjZEVjIpNI28RFnv6d0Su38jo7ApmDK Oauq6NDwEB0E4ArZjE7jLFitBuEbsT5iYDTPCzgIAwBcCU1KKDN+gIINhCeGUncUSZIYcRoDfCCZ PRWZkzaRGw8OE5gPnZRBo6UNp02pU2I/mZYZmx63MDu5sh0KDQgTXAawTEC/wRLDr8V4znupfGVZ VLkvX5vQHUdyAA4LqFLcE9/NNM/hoKEWfg3UkL5HjN0cXusXsx4CrRIODwUWvgDZ58ofQFjW8KEz 16HdOyKbBBAAKJEfrhS7PnABJ0HBwxAM/9U9yrBxgsduGc9ZYWYsRTtXEEUlA4ApYUKWID2Mk4Dp gKRPQHbSbOBT5KEVF1veZOegAYEnmejQO6phacoOBClgaqRUSFZWXAXiMnQPIU4VfmYK4fOVp8WV ms5uacBRGV2cSzmUFHY3Z8swcJnlrRCA6xA+e+0SS+rMr84G9Mq0cVyCLB+hACT/fVMP1eAKMGNW gkzhwdPGCz/sI2334OYgq7txca1NXeCqnmMkoHcYQ+wJCD521kR1rlMJBvq+DsLlOIDkdWv7vUUd 32cJCBRUw9D8qYADD3gPx5P3yC8zgQoVn2GexYH0jpawrG4LSToVCurCu1Dm/IPFSMVFQr9bbkxA IEZyFZhBYaIlGIBzRbSwHmW6SGghAAs04JqCGGqoS4IcViBRBwCOdd8EGW5oHYUg0nBhC5qFmFkD kwG2nIwT7MYBA6ExtlyMttzI4jXGQAYhhw+eRqSQMma3DSF2XFjEiQAkORwf1ymUU5Y4ajmkjAWU iAEDCfQV5ZaTcClYGjkw2aWLagZRk2VKLNbml3GiCcadE77pJyJN0alEenwaJeGfiCaq6ATyCJpE IIUGueiklFaqpRcR5vlnBAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0209_image359.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBIEFnAwsAJYl30YwQxmNuZgASDDFiWFYg5mWAsJkZGKIuR6f///2CW HqMEVIwbro6HaQFLgogQkKXGxs8gxfAfpJhBAMg/AGTtAGIFEQaGCBagHqgaHgbfxJKMkMqCVJDh HEDiFxNEBwgAFTLoMkLMFmFyYNrBAmIJA1lRbDCxLh6YWAUvRMyDgUEIImbBwiAE8s9vpoZ/EBMn MILNZWIQCMnMTS1W8EstVwjKz03MY1ix6n35RiBWMPhYfo8nbT3EbkYGkJuMuBYw7RIGadWphPG3 CID4mnC+EJhvCOdv4gfxNaD8dYwLeVDlZ3Ch6vfghKiHuFfhP3nuZQKH2Qe4u71YtIQh9mIxlwlk bnBlblJ+DgPDNyUupy8fhXGGA8RcJri5u4VARthWYglfFHNfSHLdx20uunsPMIUJgoz4Dg2XX8wQ /g8o/xQjhP+tEqZ+AhuI/xyuHsJ/AVcP4T+Dh3MKN4ivC+WfYT7DAuJvg8eTGisyfwHTJGZk9QuY opiQ/Y0IT0YS0xV6eNqCwzMPag8DszjYRHeM8GWkKD0sYJrHBzLBDe7/JTzI9i5gusSJyjfhQFXf xooq78AA4gdjcyd6+nIhPn0tYDrACzI3CW5PGDuEzwUtObjApQs4ezBA7BYC64WmwQZGJiam4Mri ktRchvUgexiAOhQZusAaQAWWwBdhBvQwYgbrBwBNeEzyJAUAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0209_image360.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEgFBAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQAI ATcAgwAAAAsJPQwKMAsKNwcGWAsJQgkITgYFXggHVQoISwoIRwcGWwkHUgAAZgMDYwUEYAT/EMhJ q7046827/2AojmRpNWaqrmzrvvCLxnRdBkRh7zxbEAHMrEcsAgwHgXHJ1AgOhsuwSWUhDtVs9oA4 ab8SRKNBGHQSWHBLkCA41JhDojKFLw/jscOsGeztKwd4dYB+fBKEgDwGChMKDl0aC1GKK2OVFAYL FImYRI8aAW+eKZekAA5BiKc9Bg8ND3OdYZSsI6akBpEAs7aBDo1HCb0OSr4iuJ4Co7zHMQsNqhIM zBYBD87IvXAHqtvZIQoNmxQK5Be64CDJngyU3+oeBA3BEwhzGAT18RvsmD+r+KVwQKiBsQsLpAnM 4K9SAHLwFjKsg2CXFIn9In6ZoRFjhVfl/6pd9CikYxaOJEUMi2TgjwaTJgacQ3iIhYAxB3nItLCg ppCALgrggSRAFKYEr4hy0OhqDIGDeaKOweYolYYCwFpIjdiUjLGteahWDcDGjQSs+0bC3FDAKwBR 4zzC89MNwLCZYgg4arALFAc/aYvQDXLXHpm9Fv0KwgX4JVAWICcEaFBrIbwHzCaLBcCAHqdgA6J5 aOuTCGbJsCZ03udZQmiFyUgzfGzJICcdGL+J2zWsMh4JN3kZW5DGw4GZn/hO6D3hN4DgtiUQp1Pn +OxmLqDpnRBd4jc8hxwwoHBzuzkKkyu/ajAeAAIHxQ00KL0D/ATxE8pLOI+eMvUK8tGH3f9afRC0 XUrYZXATVQ7EUsEw+DxwIGeiUdCZDnPgocpk7RGxoAQN4iMBhBJIWEFnCvFSB4c/JdiCHw0UFwJY UWmxzTAdPlLTPFH5RghI+Iyhyk0y8oBjVYfwmEdlADjHSR1EtkjgBjAW6d0G9kkw2YQNjDIMa1CO s11bUzRUQ5ZvHYaIl61xV9CbUtZAkEUx0JgHDL18iNo5bR1Yl5sPdqlKZ1zWYaeZH+ipZVwA9Nlc iv5E2glKKwTX35QyHKopJxocuRx7htUjEjvzHPgKmCRo6o+nI4LqXpsiqXgCnGr5QOs6h9qoAZoA vHIQQTlVgEdOOAHHToxF8OoriN1dMOz/f3RYGRCmmVS46ISIXEItE7PcNN+nIk4mrWrWtnXOMHoZ MxmdNXh7CIlpjksupCsqV+sK0GT11gHFPAmoM7MMg+wRrkpnLwah1dKZiPMkgEAww6RYg8BpyNch NOxWkDB5xX4q8bQpQPMIWQwkhUCwZYIzCx7iOCWNfDVmMF2J30owDwLSWEcEy3kAIQHMd0pS3FbN IcepiyMccNpSV16gaEwN4MbBZALC8HQJoUl9AdXXbYtKB0PEfEwnC7OgYwcPBFZD2SucjUHajiE9 QgIixs2dym83m8IjWlsDdxHLmu1A32/93XUKBhDeIm1MiEFG1V5YEJq8JOwkM+QwTP6C/+UU9MS0 3DaEvUVULn2OYDyUFiE2E4xUlfFIp6uTeuwe+GU67QAzjnsmrzgIyxjtvVdkrB6tFzx8pMy+OwX8 BmPAMBRi2KS1ACRE+4V2Tf8xGA/pvjs0ClHTKwpBUp8D7UBmu/0XCmzn9THiIGfOTQuMyY4BHaZE v/3vx+CO97SbR1ruMQyrUAhbAaAcPwo4KDVV4k/9swVBTiCAUk3gVBboF4IsSDO1gWEZd1uevyhQ ERUZw1sXQACTchMdFGIiHQCMXWT28wZzfSpdFTBKSmzYKhwq4gHSMEkEmbCSn/2BbQBo2MN4skKB IFGJHsyCJo7mAUT5AildOhnNksSXj1mFBnPOeAUXcaYIQ1CxiiI8gwLT2AQ50AFQiBoiP67ARm6w q0woyKNUYljHnyWhj1V4QhNTBjo+AhIHigPkDn6wPULqMWZyVKQkQxfCXkRykpisAUcm1ZAIAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0208.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•In this way we plotted the geometric entropy: = ;

•

[Vanishing chemical potential]

•

[Non-zero chemical potential]

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0208_image361.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC+19a3Ab2ZVeA6CEMXZmaI896x2PPWw9SD0oPLobaAAcieCbop6USEnUWxAJkpBA AgJAvSiJnBk/NuPdsbNONrGdZLzxeLyPiSdx4nJ2XetwKpXdSm2lUptK4h+uXdNJ1dbmxzp0XJWl NwSQ79x7G90ggRlS9kgYqak6Oqfv89xzzj333tON7h/8pz/5isT+Wh0L0n5GffukQ/qQJLle/m1J ckv/101pXkDL5kZpUDo8NHiiq3dwSO4+eujo8Z7ePnkf8hyAvQL7AoGAtO6/JwB/5zSvG6g3x/vZ Iw1oxVnZn0PaBOx0UGtE+RzP4f9PAv6fs1TiJb9ImY4Gp0Pan0hdT+STo3HJ8/T8yx+Vfvf3//eN fwWQAz+98ZdPji/zNp2i/jNsjKL+vMPpdA7dyuUTU5JEZSXJI7VIr1KeVMLfk698VPDkYngJ7RBH Tzol11sNRP2KUypI0mYmnxbJCQmYtERZoJtR7yeO5sNDJLfBbCI+dTmVkM8Opcfziavy9aAvcP4p jz+TuZiLX0/I7L+xxLjsz02mb2TiEwl59i4loEzuYjZxOXE1Leu6PJYczbNy5cTLiYnkNLWEnIuX 0zcv3lTkAG+qnHRLJFUUU2U1Gl1dUJWVqCoYGY2nEhfzk4mLlD2TTcjj8VQuYbSTuTiaSmYq0rq7 5Fn8Y3m35MTN0UnRPK5vlq9F5cn8qhI3xsyEu095cvl0JpMYk6fTeaNN6i+fneGCuisn6T/eoNEx jQODtTRMKTfXpGCcq8uYKXflNb2vlUVVPt7vGeOomDHO93GGGj6ArL3B8SuCg+eR/FYDGThPf4rS HdzaGzCrhJKe8szKXOfcEqbSmKtpWSg5IGdTyWlKCMjCEETCUx5RZDoxYSnG9D6dwKzITzJxQz1r 9EF9lnVbiRU5PjZWqepKXC7wlEc2dH1zTZnczGXZOnusE47yxpLXV7Vxaw0jFW3g2jrxVrfB8q7e NPu38iX6nZpJ8XrlwV29ZXZmZUJ0YqkAaVt7QMV8Nj6dS8XziXJfRhMMQ8Z35dmAzP9lE6N50gwp JEE+IDE99pSH1iqyhv/RuNjYvGVwyNs5lr6c8Gq+gAzr7CPC09zclZ6ZHktOT3Slb7axxsgTwfEg a3/yeCJXmU+Wiz+TUKMRXxR/YR2VFF8YaWHN0+xb7x+66YZDzqezbXL/kRNy/2Q6l8+NZpOZvBwO 6PLORCZ3I5vMJ3YZJZPp6R7IpU1WA4GIP6D7Axq6bgsE21QdZXrSozNTiek8ysTb5O5UIj4d7krm kXMoPj0xA29+KHE9kUJ1JPVOj3Wnp6h4jkRB7nswm06lJzzN8vBkMiePpjO3sskJzIt4JpNKJnIy JgHqZ2/lJyEUePz8jURiWp5MwO7j02My5oHM2uXttKGh7nIbO7t3EdeaHM/m0+Oj6bGEfOhQ9x65 KzGdHE3G98jdnT5Z7kylZFY+B8XmEtnriTGfwR0Ukp7JjmL0mWx6NJfIy/1DFw0RXVQvBi4qgYDi 8VdLlSMBsWbNZPhS5fEPQh5DydsJWQVP2fgtMkY/mqVVL4f0WblcIp5Kx8fkTDoja3JyeiyBVeQa 89OeoHkNEcyyMgLuWhqgbmXFE5K9igzhpOTMTB72Fqy4pkLTM7hAY7NsQYOdU+INErFh4LN8gZhI 0MKVGL3rYZ0ajI8lridHE7wGz5EVc+TmmMsEdVxRlxo0WuPt8GaqCIOKZOLZ+FQOcpllbNG4oboM jNUjGrmbHL/LWV+F5MuQHUnd498ya9B3DcK/bZZ1RGlb/Ef8o5iM+Xx6Kp69Km/z+LP9s9qsVpaf GgqR17rLu6YRZScuj8IMs6jcPyuyKX0CqkbaQXiQ/rtb0JDOZGw2lUWyPxsSqRWJGkvMsno3SEi0 NNxIjmFB2OY/YCSMxjPE4RXj+ko6OY38w3Q9BavEggKElDFKGYvnqHaS6HF4Pao65Rdr1TZ/yi+W n23+UX92dCbL07F5mT0Cy01iVCC8qmCTFxZiIDYHkRuQJ/KWQsY6SIpBicnZDNa2dC5BCxtGuX92 0Hrt8aduzpZXQeSnbuGSKdtMu878sS6LHkaRdGtWZS6ELiDlxGzQZEDscSDLlNiQpW6x1RaXrMsL s8ZEo1QLTZnjYHA8mUqhk/HdoBNpcZWb3S/n8tn01QQuhpBjXHj81/wTbG+7zX/MPwHXAqdLF9nx WdpQsuoe/2k2cnOVRyuneQerUrOnqdppqnNn3yxNBTaIoGEtivAocd7P6PWbsrY2idVRxNho6WTz mdrkcwnck5+F4x8T5J19lN3KrDB/K5PwT8enEkTAZUDcvKUw20Z4NUyvfG4yOZ6XjRysukLnHX5Y Uha+H0MnOWyfbZU75DuU1TVrKI53Omvpn2a3Of2Da4bkMeaLMQ8Nd0jbVGp84ObsWYUttYqsKGWD YMMlTRvEeSKowp5ZtsNl6QM35eQUHMpUPHcVShgY506yeuZsRSrre7ScxutpMnMQ5QJ9s/7udGpm aprWPtPZaFyenFX/8fSNHOvRfxAew9+Vio9eHcgpbITt7Th8dA8MD/fFb/Yk2BoH+WLCg6G+kdm9 e/1YHI+Od6XSo1cFD33U8cisv3Ooe2AgElpdq2NktkMeAdGilvUrMFNjH7Jb1L17+6hs92zHCK7k vhHK2z5COh0hpfpbgrPGQhU0avu39zGltwRRnZXa3s1rtATRBDeGge7ZsgtUxBLKlk9ZmfUPkOCG yQwHpsFuJk17Nj8fgp/2IENsvfbwgofjsKGbfuxHcoOJLLYemfQ0DNC/P0Hrvf8UedG7s+XDz3g6 G0+lPMJMWcfY2ZnavIeRk2XKs2zJYWZNBSgtPZ1iqznf5Rj7BrhMWtnJC7BVtlzA2PY00xLXRpZZ 3hDRmpfIz2Q8VTcVYiNRbpb/xyaDEg1bpOUJ+GD1PrEXFr2W2+aeiWzNc9BT3teOe47J1zyqyval oSBmTChM213PaWwjbng0n6pF5cMeVT6AWkooqvpCsqJGdZ8aQlc6rWcRn6IatOKLhAUd9WkGGfYZ hVk9hf7zWpoI+XRV9ghaZLPqnAyaLQXNVNat5lOoW6MhzRc2SWR7wE+EugJXoqjqqyhhIY2yaFyU ZaNhCV6V0QrPgJgEt0wcrADPZ6RRP0Lc6KxVJczkhv+82qo6QnJECnbZKHgTVI0zoBj1VTZwNcSl xTgPUjFvhPUXEtKhpGCEN8Kk5uGldCbYkFBMgCQviumsLVFfD4mcMA2IIV4/xDJEqVDE7J6z4gnx MYQY10YxlqVxUWiszpDnLBsDss9TuIZsi9VU1AhjJyBrCqswxCyU7FOj45ASDQr7JJFZbfSgR8W1 EtIx3AgrjrpakF2ZqQprfcgTVJiYq2REmOjXZoRCTHNr0nWVM17ZMTEd0pjaNaYMhQmbNcAY53Ms CKMJqhBoWI4EZb9+wLO927MnfC655WDf0FBgq39ndOLYDI5V+9svqFPZk9uO7U6djR3ov5bJX4pN tsfzF7PXUsOp7PSUql04H1QO5sKj0ZapxEzzyGT7YGvCc651PIaCI4NHrl07dDyWC8ZPHEgdvNSe TFzoClzZe2ZrX/+p5svb9g/33mv37IEQQ3Q6JZaI14jsV04SS9r5A5F+bWxHpCXXcjZ+tC2/hxXX NcZ/EAYlR1Twf5Tx3xO41po8eOXSpZHg1fbeXOBarjM76N/bP3UgNXS8Z2bk8omemVDz+QO72i8r 4P888d+939ebHDp0Za9/266WSFi52p/JbU15Ii+G8qyrdVuBHmVWt1ZRYZ1Z/dqMiBaolhqNWkzH eta3FIrqEd9aqyNeIxGadu+u/kg0yGWtH5BJ9tGgzq+Vk7hmR34Srq4w4ardTBNbZtr2TO7bFh6e yjZPXglf7jrtO5/ztjef23l5fHj82Elt65Gjua7t48d37uqbDPepHVMDLeN9PSevJNMDuWjiTC6k 5o+3nd6iBjznt4y3xju6+ke2n/GNngi25V88dEw/mR++ou/RNiZ0JaBFqk8bRQmEq84bRQnrlROn nKMG9eoqVDQlVKnDsrwVVeN6fxd5o2GlQuBYyjSLxBVNFZfwcWw+niaRt2bTieHQdP8Zdds+/dL+ 5iODJ7w71NhUPNWcuNg8oe4/N3T2xUvZjtbW3j29OT09EY+dmolvObvvaih+LN95ZuKs5hvtaA57 rymenVf01EhHf2f09PTOs1ev6rkzVzpHdmZik7tOxpLZyeEd3btGzu7tC7ZlI13JA3s2qAUtUlVq wVDV5JBawznCGdfwjoqur3KPpgJCYb1CAeT1VysgFNErFaATA6YCdD0ibD7Cbf4wcyj7fN0tOaUz vCc7dHxncsvgscj+C+fy1/TjIzPdu66Nj6Z7M7HMueTUQHqmBdKebD3UeaxHPZvoGt5/dqw3Mdrf eSbecS1xefewhxVMzVxL9k6c3L1VzZxoP9w6cWJgg4IOa9UXAyUSUGoYNXxaDaNGR9UdkxpQAlVF HRWaezdbj2qhSlFHI2GLqNG2uNR1JurwALP1a52Xtrb2N3dBmdv3HN09cqh1X+ux5t1q8EyPt7e/ 9eRkn3p2UsuQ9aayJ/cPbo+dygxoXRPDZ0OnTzd3TA4FLmaHznZt6YGt73qx/8XO0LHOnnO74zvP j8dPbB++NjHU3zZx+tLG5K0GwtHqpqoqwUh1U1VVpYZLUtVIdZekaiG9xlquqtgXv5tpo9FAhbxV TVOt8tbCRj7cuQbTPsXknenrHesfUbQpfersiaFtWmLH3vNblOTWC+3axcv7D8SDzSchc182q6Zz F052JRK58JmDh/cf2T2x77Rv59HI2R0TJwbbfTv6w55eLTp8+dL0RFe0P3R+e3aqf9u+OFxNeNvE oPfS6Y6eS8dSva3eU2m9/9T5vng8vkEdBNUaXlkNRkM1DDikV62gazU8D6Ss1VhQVV1he8+yEiJV lMCmgVUJerjC6MNKSPgXjaK1/kAPKSGYfXFmYLo52LIrc1QZV6abwzElc+RaZ/9U1psfmjrQ0zGR OXxuYttUdndfKy7DLcOh3oOx/tC5qcT5gyOBjqO7u3ozPdeubjnrGdh3eINyrfTCakijamLMEZXt ENACNgPskBaJyhfk0zh/ICdJ1aNR5OpBivLCKSE1QKcn7LG9QcUXjMg6nS7gTgex2tE1Sqhhny5r mg9LHDa1gYhM6lDlUY9XC/lCKh2TIjQPMkjwaTo7NqEamtXZWUaN8BNR0LgaFQWJQ68uY7IGiY8L 1AJt43HKCVOzUV8UG0ufoht0lBoZhaA0NB3wReGKfDoYpP+UIPEw6tEoT0F/aDMDcflCqM7GjxU/ Ss0GKEljpwwv9tw0Ep2GilL4f9IzvntjhwjujsU5ZIgl6VXSiCc6LZr6CsjYYFAYmAWfQhGmKowk EJTDqA0vq7EdfjCaG+vJ7c6LPTe2geGorB+lFRBbQDJZthqGSZSy2i3v2eAhKMKXmgpusfdZm6gF qiXqbA2rGBcsscrAcLySNWPvCnVYBqEpxigiQXbBZuSGhhEUJ6sK5oKRKomhYJVEPbB2GCFs8NYO I4RtkzmMENIZszQMuigPgy7ESS1wgnnvwdHQldDUrtFzLdHEcLb51KGTQ5M7Tnb2Rc6NbFWnMltj baeP9hwezUWOXY1fG72yLXrS3+bf29Gt+fedbT4dHG/Lxrp7h7Nte4Y8e9VktmP3vuZzx5LH1ZG9 2sXE1cH2TLp5V/rS7gNKLBlIpdJXx9VtI9OH1KPHdo+dDLQe6Ds7sOPAkV6l7fwGfQ6JR2dbmAqR hdUqaZG1aZEgpVVINkzTdpVk6dyilyWrwpijhmSD7EJIlueopzZqINEA34xW8BbVqyQqAbVqKj/s VwxECQRClpGExUiUgG4dCg48lrGwKzFn2XSHFzi84VmrBKvxqIoVcVWqXi0V5xcWPKoYjxoMVfNJ WiBsMXqFti9lq2dXZR+ksMm/cS+kRarxGBQhmcrUUKBqKl8TxXjKrpltilnbRqAFK6ASlINs1QF7 sLqKRVKP0kKg6DjSYyWkFSKA9VAl96DTohOkBSTiC8ps4Xx6Ez/rf8TT6KHEUZSkhvnayJYyRfEF 6FYTrVOjOMr6ICZvkJZSvq55Q5SiRlkNRot1DK0E2eIWoX45TTtYla2CaoCuaUGLkhtmiyaEHIpS b1hk+ZKI7mgFVmhEbDEEhSVd01kb2CWBwoChM53qYX9By77O2wB/KttH8JpY/hVaRyEWLx1DIpa1 M0rN6MQe5XKpYUHn63eQ9mJeLhKd7Q74MswvRkWxgLgO+CLGLkJl6zOV1iiAy7YXtEWg2KZGzYVY 7TDfT3iDYSYFSEYLla+CYTZUL+NUYaFaEjfbnoT4liLEZRRgOgmxrQGXrhg5RQtIHBG+M4GMSES0 paG4ZMS44EpgnYkWfaEI65D0H+RJutg9cWlE+Zg0vjdhRiHaFFc0erYVCxhDhm5QhZuLYgiQGWWY dj1inMxYvCxFNSyCma+5zYHFw+DJDdAsDgcgNYgHGoyG+eYsSLUHPZBukFRMx2xfmEYVIJ/GxgaT IBWwJF6EpXjZxouTQZ/CZcKa44W8vE1IKcqGFdD4tpBJQWN8VFxgNAqTiKJzc9Goni/KBBhhdwWY aANBTpPUIr5AlEkNboLNg6BmXGiMPTaJQmT7yNSjcoh1ScakyXqYpCzMO8QEhC2wKrPq2GqEODWK OR8gUyd5h4lplU3XIA/p00TmUXHyREGaqF4uODFylTfCc8oSplCwLqTDZpER69dDIuLv5UYa9mGv xGkasS/ENvQklwBF7qFwODqFT1QUZtoJ6YZUNaYPDAZCZTS3NaZ9MsIA65MUi51+MEojijLpq3zf r1HrtIcm5jXKNC70EHkKpnSIE04as4lGEAyhUEghxXAalsNaoVXCRzMci6EGp6jBliMhJpkwMa0y yUepFDtqcDljRw+HSJzzAeF/Mn2okVpmNq6GAtSaEsHJL6gw6at8pqL5QTI5rGwwojC7tRTU2Wwl 7dFZhd8DYkcWZr5qmJxw1DytsJFAn4ohDbiWMs0sg9kYTYMAGTxf4mjKh7lSIuxuE+QZpf9hiZAK FJSBR4pwEbC5C64pGIk8jUYd5h4tyM8wTDecI1bYy7oyhiHWgCC7QcREGpDFqPmk5ZbI5yaXDldx QGF+LxzkBkjCZ5bHxwCHqAuR8NEa9sdNWSWBRphv46oKUI/GFBe1eRwALkqQ5LbFwMLCUrkBMz3r pGFz2HBTqjFs4ZXAItYrkj9pgbymzoYUDhnWEAwrbCpHadrABhRm6jjWRsi6FTY+1oSgYc5hxfCF 6BXHYtacl+mc2wbvWNAhmj3c7slmhbMLGbftItR8VHgnnd1G05l8dfItwh14meF4sRIH9LIdYoVR FIsdQuuaWrbDAJOqsZToIT6RBM2NhxsiHSyp9TDxzzUTYm6Kd4NdPlYIYS7RELlWpgvs9qC4iBwN k+2Ry9DInqIkQLbIhzUhOC4Bmhmc94BeZQ7R1s/gPeorzyBWjEuJ02yRYNsUpga6CtKMs86gAFMi WbZJwZDgAcI6LRoZj8r3a5hozFFy4+Pe3OCMGcdoKkFPArInLOi+PUH5RrrxgI7xELq4Nz+cjSdT iSyuTIrSc22y4pE+LJ53f1b6qMQe4bU29ZSn4jn5B/0rhoYH/CuGTezJ6M0Op8iPbHJI/Knt93/k zgpONovfLjRIV4CbXZp01/nzwl2no3jPuQnwIcCTgMbinPMjgI8Cni3OO58DPF98yfkpgFx82dlS fMW5A7Cr+Glna/EzzgBABWjFzzpDxc8524qvOruLX3AOAYaLX3SeAJwq/pbzTPEfOOPFLzuni19x pgGZ4led14r/xJkvvu68XXzD+Znit5xfLb7j/H7xvzl/XPxfzlJxxfl86cOucGmba7AUcV0pHXS9 XLrg+selnOvt0mdd/6H0FdcPS2+7lkrfdz14aTYIaW5m+c0uJ6RZgDT/T8G8/mtc/6Xl+r/i+j9a rv8drr9juf4DXH/Ncv3buP6Nwvs/MkcNOzE4mZZeK0xLLz9wTtbK+FVw8qr0uTqQyZvg5M2HwMla mbwDTt6pC5n8BTj5i7qQyc/Byc83YLGbpI3+bWK/dIHjka6jke7GP5F+HfSwFGW5W6WPS28Wfijt BB1l6dSXo2ZrJeMHbVITR47SEl9SSkWe/D9L84Rj86UFwnPSHCtQlGLLVLwoNa0QXpEaqYILmFp0 r6CFeYEXGHaVFiWpkfASw6ynJsLLDEslQFPRgosczwFihEsGnmc4RpjS0IEVN6EjE89b8BLDjWW8 bMELZewGAwZuKuNFMF58F7yEgZRY25V4uYwhbLRVgeep7TLGwFxlXKzAjhIfsIGpjap4jg3UxLEy XmC4qYwXwRQN3opJ70sMuyzYXZKYlghLhEnTcyuVGBpxkyU0CYzK7mVmSFIjYVdpvnGJGdhC4yIz vYUmZlGxpRizsKaVUoXlUU/sr3HBsPXPSj/5BWzd/LNt3bb1+rX1B7F2HJDMteMZ6TlxivBI7xSW 2Hx6jqWvc+1wgekmjDe2wg2YBoU8B4f5KsDyWTmIlM0uyIvzxOf4/fJU/vsl8fQgdDFtWcePSyrL 3SJ9DL6txMatsvT16WKOfja+sBY7OKJ5wws2CctrFJhNSma6q3FR+MrqWDKMYDWe4760Jo5xfmpi mrTVcKNw2rWwW0yl1dhVc4Ar7zrA922gTfc5UPd7DnT5vgbqKlsCG1i7sJRYycTzErekeVFuXjA8 LySyYDox9rcgbJvP6fu1bePPtm3btuvJth/+ufdZx2uFZx31cO4NgJOAox5iAYfAyaG6kMkkOJms C5l8Gpx82vGwoxLjDjsqYZ/UHo+oxPpt3Y5K2LZuRyXeKypx21F/UYn18/TBj0rsEye3X4Nv+ywb 974NRCXcdFKDiVfihTJ2MbzI9t+EJQOzI94S36AzZ0WYZCAwa2BF4g0AO5YlbvsrzEGSs5Ske8x5 cv9KBt9IFr3IsRuNupHnQkXXPPOmTEkSTTjCc2L/HxP7/qZFMSWWxK13MUVcYsq4SoYXX3VwmBMV Y6Ji04rAomKjqOgWFd2iokscmYxlwcDlyTknGpoTDcUMLBpsWnWUMc5mjWW8WIHda85i6zubMXxJ 4CUTM8d7U+A71D9wu8QcNukkxvACdL3ExMoU7S65mQG4hSG4LGd9Ng4Dzwkbg2UU+Sj4UdBVEuyW xLAMcTiWpFVRifuz7fKzF7Zt27ZdR7b98M+9r+O0+XpdnHu/B06+VxexgB+Akx/UhUx+Bk5+Vhcy edr5WuFp58OOSizZUQn7pPaYRCWW7KiEbet2VOKXFpXY5Ky/qMT6efogRiUq1/F24dueg2/7CBt3 +4bW8Uap4u5gk9hPx0rcxObEvrtU+hn5LBp7bJFhJi6qRqZMc5OOSAyX+E1KOiIxR4ZpZWCJnfoI 6OY10l6QuOwkK16pxMYRag0uvReer4pjNfDqO7viBqjDxEJUJXGgMm61G8+dFEWxopDgihD1ssBL QqKL4tC8YO2mzLZxQnSIk015spflUTKOlJVHydVHSpdYr1zlo+VyDbyyFj8tcKO4s4xTNMfc6Usu 8okr7LzFTnwSLQyE517hA42JATfxEx470y+KYMECFyPnX8hLVDcPqnSwr1zH78/WzT/b1m1br19b f/jn4t04je521sO5uA+c9DnrIVZwGZxcrguZ3AMn9+pCJl8GJ19+6FGL2047amGf5B6PqMX6bd2O Wti2bkct3itq8YU6jFp84ZGOWjzjtD5L0SPuNz8P3/ZVNu6eDTxLYdm/r6WLlvLroUvWp+tr0fNV 6VhNesH0wjXpxTU0v0/OL/i9cu6710Pze+pihq2HZvfeheRq0e0W4cYsdNO8KWiazAbtXjRp15Ip XLpvXxboioW+Z6FjFuE2zZsCbVwwafeiKVzXkkWgyxb6joVutwi6yTxuSY3zJu1eMGnXonEfnI57 Ji0tW+g7xj1x6sBl0k0WuvEVk3a/Y1qo68cm7fipxXJ/brHKOxa63UI3WehGi+W6LbTLQjus1l1a hxVbLbTRQrsttMtCOyxWLFnpOQsds9BNS5ZwjIWmBzWEjzCeSbk/H2H5s32E7SNsH/GI+YiHH4f5 jvO1wnfqIg7z5+Dkz+siNvU34ORv6kImT7heKzzhqgeZbAcn210PO0q22WVHyezIweMRJVu/rdtR MtvW7SjZe0XJnnfVX5Rs/Tx98KNkXeIE/Anpm4UdbNxdG4qSNc5X3eU3lsxduHHnXrI8a288A7Fg HgqMXzWwOb1s0u4V80ht/jRipfzzCHYaFA0xh2fs+dmvPhbNM4HRAf0Oo2nZfFyjacVyFrDSxeq0 u7Qeen6DdPVDTuM66FpH+1gNes5CWw5jDgvtstBuC2097MUsdMk8ELosdJOp+aaSSc+VD//mYw0G vWihFyx15y20hZuihV62cLxYjXuX5ZjrspwSXRalO5aq09JyDfpODXqvhW6vQVuFQnTRHExVmv2U pQrtWk3Pr6Udq2lz6q2lK6Nk9+cjLJPH9hG2j7B9xCPmIx5+HKbD9Vqhoy7iMOfAyTlXPcSmboCT G3Uhky+Bky/VhUzeBidvP/Qo2RftKJkdOXhMomRftKNktq3bUbJfWpTsG3UYJfvGIx0ly1rW8SHL u0u+Wfg3LuPdJUPrj5ItVTzl4RKHD+NA0rTM37wRW+S/RZlb4L9FoWm5wF4EwnyWo8R9lqvEfRad dNlvSISI3EJchMlXNZa4r2oUU7NR+CgDG9OwGib/YeKFMnaX8bIFL5axqwqmutXxMhuIiVfENOfO 2cRFhl1lXGJ3/Am7+Dtf2NMAjpIQGA4oTIAQM3tnx5w4H82Js1RMHC5jpb9lioDzFG8AMX4ysyI8 wUqFRzDfZFuqPBqXyj91WhAn00VxYDNevLpc0eDqF6muedNr06o3qZSf6DArVB7m3eUfJRnPyZRW RQGMFoywhrSctazf92vjax+jsG3ctvH6sfGHfw7+M5w+/6wuzsF/BU7+qi5iA86G1wrOhnqQyQvg 5IWGepBJGzhpa3jYUYpPNNhRCvvk9nhEKdZv63aUwrZ1O0rxXlEKf0P9RSnWz9MHMUoxblnHB+mX C/iTMdpvFtrZuGMsfX26cJTvjy9UPkdv4Dnj3riBjc32SiU27oO7i5X3vF1lPL+qo1UdztXosGlV h401OnSt6tBRq8O5VR3GanTYuKpDd40OHbXe3LrmDa6rOjR+jtC4qkP3qg6NV8Q6VnUoWTrk75wF XhQdGXhJdHRT4Duiw3bRUYwvRPxFNEXxplwDl8Qbc8u49it4K1/Fu1TGkvGrH+OXPXNWXBy3rNP3 a8vmcwq2Ldu2/PBs+eGfa89IrxWO4ET54L+/bpxrH+x32A0JGN9jp1aTEv8euyq91TBduAHINcwV rjfMF241zBbuNtwovNSQL3ymIVf4fEO2cKfhG4BvFmYbfq9wu+H3UeYPCjcb3kK9twozgDwgy+Dt wm8xeKvwRcBrgN8E/Abg86hD8Crqv4p2Xm34XcA3AW8i/Q3A1wtfRl9fBfxTwOvo+2uA3wEfX2+Y KbwBnt5ouFn4RsNtwJ3Cmw33AC8Vfg9AY3jQdrWpyrfCJWlGeni/kdtk4eSvSzOAepDJfy7dBjyQ 70VYdt9PSgMi91PSfyk52Zf+Blj6+nZ84ne+LLBbD/S0ZRd/v2OTrI+41dHYHuYXThdKLfYXTu2v QD6SXzjdiG1bHzC3bdu2bekD9oXT9yNq98NSW919iXwjPH0Qo3a1vvm1UOqT7G9+2d9FehS/+bUR 25asP1+xbdu27cf8m1/WmMd3SzOAeoh5vA5OXi/Vg0w+B04+VxcySZduAx5mHCj7CMeBsnYc6BeK A12y40D2WfkRjQNdsuNAtm3bcaD7jgPN1mEcaPYRjwPVegr7UumAZD+FbT+Z+jg8hb0RW7efwrZt /VF6Cvv9jImcKs0A6iEmEgMnsbqIE+0AJzvqQiaNpduAhxkneuYRjhM9Y8eJfqH9pyTO0vb+016T H/X950Zs3d5/2rZu/wrw3eNIz9dhHOn5xzSOJN1XHMm1IHxb+bPciyKkyb9gXmRPDDhKi26+Z5ln P0Vi72VZ5L9fmuO+iomAcJkuCrFQmWXx7pYl/uHtuSX+DEOpAi/UwIu18TJ/JGFuNV4RPs6C6Q0m zGeK98XwZ0sMTCql960s8Bfd0ngJzy3xF9w2LXPcuMLvDrhKMePT7jx2bAjMLbDxaIHbfDHOgngE YV6UN/CCuDuxZG2PXoXM9fJj8en4BfGIw/zcEv/eUmyZR6ZjK/weRZPAjUUe8TZ8lrsCLzKBu5lz nmdCroZdNbCjAkvMCtxWPLfIV7vYEsdNy3wVxKrGVkU4RLZKukr/ng+8VBZEsSKWz57Iqb2O308c ybZ129br19brIWbyt8UZQD3ETH4ETn5UrAeZ/Ck4+dO6kMnbxduAhxlH+jbs9lGNI21kbHYcae3+ 8/Visx1Hss/Wj0UcaSO2bseRbFu340jvHkf6o2L9xZE2wtMHMY5U653XXysOSPY7r+33ARv6nK/A j8Y7rzdi4+afbeO2jdefjddDjOQfFWcA9RAjmQMnc3URN5oAJxN1IZOjxduAhxk3Ov4Ix42O23Gj XyhuFLPjRvZZ+jGJG8XsuJFt63bc6JcWNzpTh3GjM4943Ih/Ldz4vXmPOFM/L3UU+Ttfejbwe3Pr UWcNbfnA9rrokvW3vrXo+ap0rCa9YHrhmvTiGlrsrRbFMbNkfNJ6PTR/r42YYeuh54y3Er8L3W49 U1ropnlT0DSZDdq9aNKuJVO49O6cskBXLPQ9Cx2zCLdp3hRo44JJuxdN4bqWLAJdttB3LHS7RdBN 5ffQ0OfmTdq9YNKuRXf5M+KOJZOWli30Hbf5jfB2l0k3WejGVyzfEX/HtFDXj03a8VOL5f7cYpV3 LHS7hW6y0NZPqLsttMtCO6zWXVqHFTfV+DS89VPyLgvtsFixZKXnLHTMQjctrQ2MsQ6Wyj7C+N3+ /fkIy5/tI2wfYfuIR8xH1EOMLlycAdRDjO4FcPJCXcQtN4OTzXUhk58UbgMeZtzyp4VH93eTGxmb HbdcG7f8UcH+3aQdy3k84pYbsXU7bmnbuh23fPe45d8V6i9uuRGePohxy1rvYf9RwX4Pu2S/q/qR fA/7RmzbEl6wbdu2bfs97JZIxH8vzADqISbyfXDy/UI9yORNcPJmXcjktcJt6bW6kInEuHnQX+E0 ZfJgv8Jpfv3T/ArnJgf/Cue89ElppNDE4FRBlk4CThS2CNgK2AbYDmgGtAB2oMwulG0FeFHPD1AA GiAC2If8Tmm40CMdw6p2pLBfGgD0AjoL/dK+Qq8ULXRJoUK7pKC8txCW9hRCUmshKO1CGzsBOwqq 1AJoRrvbAdsAWwEy0poAn0KZT6L886j3iYIuPYd2fq0QBbwIiAE6kdaD/D6U70f9/Wj3AOCI9Gzh IINfxfXHCwOA/YB+QB+gF9AD6EJ+B6AdZfcBXgS0AaLSx9D3sxjzxzH+TxR2Si9AJlsBOwC7AK2A PZCRD3kByElFuSDkpKNOBLy3ge+94LkdPMfQZifa7i7slXoAfeirHzAAOIDrQ4AjyD+KcsfQ93HU GULdYYx7GHycgExOoN0TaH8Y/QyjvyH0exw8DEJfR6C3w4BD0OEBwAD02Q/oBXRD390F0v2DngXm N2Ef7CwwZ585CxrFLPiM9BIkMc3gTCENyAi4JiBbhrOFHINzgPMCLgi4iHyCS4A44DLqjgESaGsC MAlIMkhLVyxwtQKmpVRhCpCSpgpXAVcAk4AJQAIwirzLKBdH3Uto6yLavSCNA8YK59HnefR/ATxe xEy8BMsZhQUkpP1ooxdt9aDNbrTfjb66wFsX+Owq5HE9A7iO/BsodxPWeAvWcgv1bsNybsOCbksH AYcBRwp3YJXzUkfhHuAug06kdRZm0RbBbQG3GHSivU603Yk+OiCnDvTZATl0gI8O8NMB3joL44Ax lL8MPs6j/zPo8xT6GoZVD0E3xyHrIYxvGGM9hXGfgRwuSNMon4ZsMoUk4CroKUAacA15OcAMZHYD ZW8B7kA/d6Cru2jrLnR4D3IimINuCeYBLzEYeay/0vyHEp8ZZ6Qx+NJL8J2X4N8uwr8RXICPOw84 B/99FnCagR9SJ/DCgr3QghcW7IVG9jC4gnocdgN2CdjJ4Cr85zT86az0BLSzGZrZBK1sgkYaAC5o xQWNEDigUQIXtOqCRXG4gXIEN1HnJurflNwMbqA9Dh9COQ94+jjgVwHPgrePAT4q4BnwQPBhQCN4 ehrwFOBJWJUH8CFY6BMAN2AzYJOABuQRuFDWhboutE3ggDwIXLBSF2TkgqwIGiA3gk2QIcFmgLtA Mn6cdyPfEdY2Iv0xpPYtwJexqv5D4M8ycBV+HfD3AK8K+DykyGGTgM0AN+AJ5H+o8ApW/Zexg3gZ O4mXYGEvwdrmYXnzsECCOVgkwT0GXlicF5ZH4Ed9Ai/68xY+x2APeNhT+AzqcdgN2AXYKWAHoBll tgO2FX4T/f99rP5fAvwL0G+gzBso/wbqfR31/zna+h3A19D264B/xsBf+NcMvIVvA/6lgLdR7ltl aAXsFrALsBP5OwS0FL6LsX8Xcvi3kMcfQjYEfwRZfQ/wxwwcBa4DqTzj+bWzbAubmS20SKQ0F9Pa /wfELlxpGi0BAC== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0208_image362.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh3wCPAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAADe AI4AgAAAAAAAAAL/hI9pwe18nJq02ouz3rz7D1LPGCxSiKbqyrauIkFAY8rvjef6rj0R5OMJh8Si hVQrJUfGpvP5op1myuUUis1qj7aulxrcisdZmulXBZau5LabF16CSdW3/d5iotVSNv4P2BEXSFiI M2iYqCi4h4C0CBk54+jFJ3lpaAZW44jpGRhjpjn5WWpHlzRXZ8qKJ+rXGkumOSprOytjc7s7psf7 C0Kn21MLbEyMeqwMl4u4/MzSlwtN7dI8/bEavKKdrdLtAc74nQFbLoyerr7O3u7+Dh8vv15hziGu jA9sv6Fv7M+LX49qBGEM21YwoUBiKNIcvLAGTThKABdYTFCxk8R+/6QujuNk8OHEbXVEirioJOMk bRmBwLjX0VtHlRb9PWoYLGKEeykx9tO582fMoRCBFqvX84zQVTQRjizJk4rGgUNNvqwKEyvDaSqT NrFaLyZYn0RbloVZcmwnlhxnEj2iVUjTtR6zrlFLFigjhxO92g3618jchITDKizMjfBgxJQYOzas 9O1jxnrdHp5sMO5iVpvz1U3bGbMsr0xFT9Z5dyrB0J7fsvb0WnFsSbML1o50u1ruRXhN113tu+3l 4Bh679r9DLki5a0VMv+H+Pm+6MSLSyd0/RNbydCyX6pMyjso3y6nigd0/k8QvzONBzStl5bj9MtR pplfHTL1/Jkp8/+/6t9/qhXmXoD4CfjbfgIWOB2C9I3nIGYPYjIheg5W6EqEomF4R2kJHkgdVIBJ SFl895FHzXoeGcVgc7aJZRmK+53IHYgyEschKDlCeCOOwe2I3Y//AXnKkOQRyeNpGiq54IYI1rga kkEyuWRydEHZI3RQsWdkPiZuVGUrTJAW45NYmhIfSmaO2GBENK4pJRRx8kbgnPUNt+aHVuY5YHd8 kqWbnZAICsefgPppaJ/HEIpbiokC6OWjh6K5HaO0jbalnolamtUZXEp6ZiIiptRifpxSJF9Qn4J6 alE1lQmqooMC9masbN7S6nf75Hrpe7aedNyv+sXCK2y4FkuhLchOGkussMU16yxEYkb7LKXUwpWJ Ll1cK222gC7LWSYAghtuG754CBK3w54i4q3qTiDofdq+W46u9FY76734Lkeusvnqu28h/QYrKsDC NVEAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0208_image363.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC+29B5xV1bU/fs+51TFYYsSaeC0Q8/TeOfUWnyYqihoLKBrbUzIOFxgZmHFmaI4o BrBgwShFQBAsUbEEUIwIiHSkKSqiRhSx0MQg5Bxm7szg/7vX2ufcQUk07/97gjL4WXPOLmeXtb9r 7bV2ua5evnBMgP4doWbUc+mt3+VKYL9AIDhmaCAQDbhREZcAtY0cGOgYuLBTx8vOPLtjp3i7Dhd0 uOSss9vHT0OaAjpVPpOapgW+978YKK8WwiFRm/J/WaPoUKO6a31KIIynqojSxFtSOQJ/jwY1qF9/ zTnvE4lKSFUC5+bK++RqykpLAkULBv7pkMCTk/7Rdwoorn3V94Bfde3MZary+59TH+X3AxVVVTv1 r67J9QwERN5AoCjQNjBUpAW+xr+fDTpEtilIz60oR7ToZ+raWJeYeNtf/aMzOBAh/rQNqOBA4R1l 0HubwHblK6XNhZ0E3zpW5Up6Xleei1/dqaJrTa5HvI+V1K5pVVRcWdm5uqRPLk5/uuS6xouru1f0 rSzplovXDhARyFPduSp3Xa5HRTyVincpK62hfH7kdbluZb1ESUjpfF1Fv8799Lhpcll+XH89ruuG LK+Q04jbae2bWY14KiMjq0tLynOda7rnOovk3lW5eNeS8uqcV05l59Lysspd4tqdGa/Ff5TWP57r V9pdFo9wPz8sP+5e840cfbsUIga0KqquqaiszHWJ96qo8coU9dVU9WZeDYiXiT9coFex6Ae626xg EdPvWzHo5zfzFGIGxL9V+7d5sdt2/J9LjbKL1Kj/h/V5ekAgPqTsL1twVOj0nRtiAv8c30rEK4z4 ECRLjlKroto4DzpDoWcF5LUiLkdZi1eVl/USEVpcIkFGtCqSWXrlujXLRgPfKwfJqOlO/Mb4fGtA RJ3+4O761OMlXbrsOta7Pv0MrYri3mD3+1ae6t7XxZuLT3OhE2ldyvp8o4z+32rILmUg3FzyvlkG pfXoV6i/ebtkvT17l/N3fud69C9U1rwRspJmH4DbzWvAhzVVJb2qy0tqcn5dXhH0BI8HxGu1OP9X lSutESMjBiQnlECuV5dWRWK+EmhYd+DaA9sc27FT4owuFdflEmZSiwOd7cVLUZs2Z1b07tWlrFe3 Myv6nSIUltBPQhtB+SD13LJLctW7ZNEEePGv8GKn0sk0v6bSmWTGMrSUXdQm+X3/oZp20Ms1FVWn xM+56LL4Od0rqmuqS6vKKmviaS0VPzFXWd23qqwm9xsvZ1lFr7PAmlPihqZlirVUsZ6J6/YpWuYU O4s8Z1WU9u6Z61WDPCWnxNuV50p6pc8sq0HKBSW9uvWGUr8g1ydXjs8RdXavLu0qeors1YIbQot3 rKoor+hW1CZ+afey6nhpRWX/qrJuEI2Sysryslx1HHKA76v613QHU6D4a/rmcr3i3XOAfkmvLnGI QpzK5XJOQUHt/DJObPcb0WozXlJVU9G1tKJLLn7BBe1Ojp+Z61VWWlZycrzdGcl4/Izy8jjlr8bY Vueq+uS6JL3WYUAqeleVoveVVRWl1bma+DmdOnss6mx01jrrmqYXFe8uNi5mFJq6elfyjFVU3BH8 6FR2Yy5uoE1VJf0FHotRrJj8qhFfG/dzlJRXlHSJV1ZUxs14Wa8uOcwkN5CuLrIKYbCglvJIGtCs AFFtXC+y4wk9DuaUxyt71wC/1i5hkalXbwRQWC1NaoC6iOwrWOxhvJYniW45MXnlSgcUUaVew7vk +pSV5vgLTonrhZ4X+uy/iIp3+VYU6JXG5XAxu2GGyFJZUlXSsxp8qaVmiX5j6CoB1iJZyICyrgO4 6d94xK8D7wTXi4qPrfXeB3gvxcfXUkUi7tjii4pLIYw1NRU9S6p6xI8vKq46p9asNX3+GbYtFNcA rlr0qKrbdaWAYRU+PqdWJov4bhhqxJ0PJXLOgGNRUIp4XCiqCtHFVbaM3SXSpMgq+q6vYJKYHfqW dcGccHzx772I0pJK0cLrvfD1FWW9kH6hCPcEKjGn4IGYLiKmS0m1+LpMvHeF4hOf9iyW09XxxeXF cgY6vri0uKq0dxXHw4CpvQjILUOv8JIwZDM5s2SDaGZHpGrxbjXNMnlToRgY5OheW4npraI6J+Y2 9PLc2o7Nw0XF5f1q/YkQ6eX9EaTBLsT1IZWcissaShHVv9YgFSIC4HKu1io0QNo54GW5NMrK+9OE iyBVeW2tJ2gittm7SOyKBnYtKy9HJV3/C++5Chmqrj03Xl1TVdEjh0AnpHiBouIbiruRiXt88cXF 3aBaoHRFoKprrTAq6fOi4iup54WJHqVcyRV8I7bqSvHZleKbm06rFaJAnbA8tOhSo5RwPaV9+sXN b0fRN7rsm5g9SZ5FmSxLaL3Qs1D8XeTrTaeJ5JMIhTX9K3PFvUp65sQLVAbYzSWlyZJImBCvmuru ZV1r4l4KJl455qcXA0lV0P3ouuDDCbUnxU+P3ySSzqz1Bo4rrW1Wv5Dugvhb3+pSkScvnhx66lCY qqLw8/rVXq3T1C0cAh8Q1F0x0t7LNeJFfHByLVm5FH9ev3hZTyiUniXVPTAI53VlJbn7xNpdYqnu Uj+OvzPjpCD8DO1ri9tVlPfu2UvMfQVlYzI/uanFl1T0raYai8+Hxig+s7yktMd51Tr18Le/hQPS 7rxLL21f0u+sHM1x4C8EHg1qf0XtqacWY3Ls0PXM8orSHrIN7UXFV9QWn9Gp3XnnZexvfnX6FbWn x6/AS1vDH1/5pGFsj+S2xqmnthd529WefgVC8fZXiLQTrhBjeoUY1OK2Vq03UVne18UntKdBb2vh c8p1Qjv+oq2FIhgM57Wr9VWgLqdQmj7jem3xeYJxlwoYntcLza2sEGZbMXehWNggnWi+LuKMF5YA Q/2KYY9Ud8xVwfSorOgFABafmxPzffHlQosOqPUdoK4VVSXl5UUSplQxjLvCaN6MngtkxmtpyiFY iwwirqJXOc3mbOV4dgNUppjZhRagWdbP4Jk9bcQUd4pApm8QiTkvV9O7smi3RoU0JPxi+Q8Jg55N N+NWkZYE6pPSHJa1+mWzZhJYKzq/yDdtuxZdHL+hKAUb00xl4ikrm0qaRlw30loSfriRMpKZrI3u Fl1ZpFvJlGab8b5Fevx6lJHWzGQG36RMOwk7UnxqZ1BmJypSNzTYral4yta1ZNaIp3U7mUK6YWWS RibLRZ6PbBktaVjIhrkT8qqbSQvWJprDApzAZ9lsvGORmbT1uJ1MxzPUQJjHyGaJT/EJyi0tskU1 ZtLIovnJtMisWTAGk3qKX0uLMknbEpXYSVPYRMm0LdIz0BB20khREXgkqKps0ognuC49aWaRHd3P UCHZjKjTTImPbdSWTWatuGCCLd9Li/CNnhZVUVj4AmkwU/xNZJOW4bU2kUrqZpxKFB1Np+W7kRGp pRimRDotohMoCDwWHEnrooBKpKWTKaTQQHF70CUAQk+B0fgYITCROsNdospQZTqLaqAXkYXYZSR1 9C+d1HRmXwKtT8l35EkDAjQSVtJCHUCETe1JE4O4HFuMGnOR4xJoUcZ7N5Csc3dSNjGkWXdMUZfo Do0Ojwp4AT8pYSUzhmChkeG2gn1W0szIcQHc0sQ2DCa9e+0QbcXIGKIw26QsXJpJ5WAcvV5Q17jn CYZUAtixssw98FJ2jKpOSCZzwDAF36lPNkbLpD4ZovLKeNci3TYxbqYPaxqSjkVoeDpFdYgPJPaY FwkASJaiiXJ5nDQvM41lQhf+nxhS7iswYiRTptd2hhTnzyYzVAr106SxIm4ykyknSw/yaEKMOQ9V k02mLPkKQcxyL6EQTG8wSDBT4EOWBi5BlWlJS3xFPeXWsuxBGJIkYZolKxGixdhFWzXRF5NAQW1l DtFYScDJcaM2Cw0hJIsGFnVZZlwMp0gVws4FoIc0pOAKhsCrg8ZTtgIDyOPMgmkIwRCdTEFVNe+j VEeJ5r6+p5tomIUOREdSKcsDEcIGmx7Eumvx37mFfHYW4p/+F/lEeZDuLOlUI2ma8Z5oE8YcOk40 3gT+SAVa6HPWYxszhLQKaxsUiIFhbVNalE5aNks+2JVJk16DeoGgirfmOjGblQLD/EhIpYkJwY6z omC9ILWizXpJakVLDHWC8lKNIkEzGIZCVgxRFysaUS9rJUMX/ZAaKi3ykzxRj6X8UZ8TotMJr9cJ CVXqN6vThNSz3MWE1/cEo4x7wGyh2oV+TfOrEHRSDxp9hrlOzgG2gAfKM0i/AUqEpCyrEwi1iR5n vABkIS0w1h0jmIUG22UAhfojIRRqwzJEQ6kRti6w5c0ENA6eGqf5Sw4DB+S8o/mgB7uRAR3z0uVU glIoJypNyanFq0iTkSxo3JKEl4PmP1YMUhHTtOqpKkMoWA6USjWmeXNWQoqvntRMGhcz6yswb3xY uRppGjMZstEOZGQTxNAyloj1TRAbQw/W7mKCXB03hH5EuZg2NAN9uQbN6PIt08TQeWr+F7YJyrSE GHq2STaNLgvg72qbGKlsusU2abFNfmK2iZG1zRbb5CdjmzS3R0wdGb6HPeLn+w57xNQz6RZ75Mds j5jkhrfYI/+RPWKCa2JMSUOimCxS6YHCYRuIDJjpRDrsCp2kEnqR1F1HCSphWEicS80op2pgz7L8 6ZxnET2ZMYWqN0xRlC1fm7M4ZfvqIJ2Jy2macERVsLRJhOPVA7gmVRYxmMHDvBK9kZNjmkRYqmZm NafSuwdvzZsvaUqXg5Ggvko5YjxXskbVRP3MCXplsGncKiqIRNy2WZMwtKg/olt2mgFF0sqakl9p YieNT9rNEFO3RARzLy30Bc2j4CtNpjwQUhsKQaZXTxY1zxigouRIJbwspHG4LM9y4KHiWQhsMtiY Ia1MeqOyqFmjqAoeMma+qXHJpLF4HsgIvcsmgamLOvi9oAhJvqRBSPM6z/tCk2pkPaUNKXM8tN4H VpJVctqQGoeH2UzqFr8C42ZaWj4kGlSHZwCwcUEcIwzYulR70iKUFgljivVEaRELF8OBQJugwWS9 6udi6FOKnGpJ4/E7VAJhyh8ZHgQ207hXCei6jCnVoGiFrNZgo4vEQOjvrBcQOUVZmlc8KwhWmd4c TOoXo7yLr+9ZlhIYUtXqQsuQorCyZoseaNEDLXrgp6cHvkv2xUKCmYLdDCPjOxYtdAsGIADpLVoY qEJHZf9+EcNMmVkx9v9iEcPSLVP09zsWMSxDjE3LIkbLIsZPahHDstJGyyLGT3IRw0qZme+ziOHn +45FDCutpVoWMX7MixiQ9VTLIsZ/uIhhZczsv13EsLKZLB/gSBMepJoktHYs4nmCx5oYwxZjgoDI /PIsY2kiEo4JxrIoeqc2g4mal8MzL9lilPLAeRLNLHX/wTqK/CHfAPWUrAAV2wgyYKIcmyQn5aso wpiRlqLK2BIjm5ZSQhMpfc7MlqYKj4smjG0wiZU78CdEz1PsbEuwlpCOEAmfDKAxtjRhpciyS8h8 ZgHC4HmTJs+7hBI5U5KRy76MzwBWBKwZJFJ4nmaLNuFN1MxfIShZ39IHIKxmzpG08diVYYGFeWv6 ATvDhoEm/BWLHQfAy0xJVqZSPP3QdMazgHRySPv6tWUlOw1hsLF88TiiWIMnV5OUqm8rSD+GYcbc ZvVC2iCLJuO7FKxlAaie7LnYctKS87PkEM3nQklmbGkMSh+Hpq5dfH3JB+kpeJaqmMnY1hGYkhqd p8SC/6pLu5gBRPyQKojaxf4YAY+9btKJgrHcDOmX07Qo/XJp0JGSlqpWmh3k4hDMpKFbUBwsUtJ8 YkXn5fFMU44zPAxLzW2xi9+1yNaEtgRrszoPF0+Umi4GQpNGqvAWJKJl+6WxinJolSFL8IculP4U 5ZQw5gdmAjHADJeEbQnUkXRnLc83bSYg2bgHe4Otf1mhJqwjMQsyuMhUY21IqwDe3EYDRwYGq1Hp 79HsZmusWD2X2fBMMnbRURocL51d0UQ6JeZltlJ2OTZnmCavvAj5gSkAn6KwY/29nD3vMJ2ZSQmW /KvDdMK5A8IyaImpf+N8XrPDdCbZ/i2+Xouv95M6TCdh3eLr/WR8Pf9gnJnNfK8DdCYU9vc5QGdm zBZf78d8gK7ZALb4et/l6+lZzSJfT2jI3fl6etZOCfM2ZaLV8JDkdoNgesciVuzUJJ4ReEDlTCpV KKfwLoOsPen5VPT6LaUiNB6PNE/jQrcYzFNdZ6OWfTz+K410qocgxNMO7+dkBFak2qF5hi1mKp5e CzMIKWCN52GNlaRvWTa3f6V76UthM5ZL+eANBN4j4Z0L7mfCcw0T7BvyxhD7hv48QNyTY0dAKGx+ IGCmOZsm1QDxRsgUV2pmxDws91FoBuE9JlbiEC0jLd/BEyFZmtwwZBM4Q1sl0pzIkEdHU690KElG pLfh8U0OPI2s9CfJmOd3aA7NlLolK6cXoYnkNCszkYnqu7I8VXgegodtbiWhmJhk+4Y+Q5IHRzqG nn6RrqP0adisYvucG+wpKunaGVLzWL475/uOhmaSR2UJIcvw9MBA8FwwNsTYSWOTreDHNTcH5K6f ZxrIWUBa2HKZQvq63k6e7ChbSNIuYJdN7iNKtmjeQEhLicDvOWpmc3tXiBBrPN7u3cXn20XfNZub fZs5HS+oPJ6G6JW1rbfFBd8GQgYG6Jms8IVsKBDhYojJHE3/xs0gI/57+CEpyxbYTBngIRSJZUGX Q0TEQhTyey6NmSIDWwcjIRGWCZmwhOcDHwbu326vHJlaxqAlGug5MRmZYqQTtknLAaSuUhlhOfE7 lHKGVmaywpBu7uuLTXsZn8oKJIP1WdrWTZFykSENAxcvsqV5lc6KcfBCdoodSoM2Bw14gtAEukZ5 MPBZvkZFCxUQMoM8LM2zbaFghN2R4mU3S9QJF5E9Iy4JTo8t5nxUa5NfhG9p4xP2cVon144W2mBk aaIojaGPLgtMeMaITUaSDrDTcopFs6wuXX8R1C0qivwUk1gHfWKxzyHABj2hZ7kmsZwjlgJSrBwF lrgdaRL2tMAP9ZD4mCWjWJgMNAOnBLD+g4H/3ge9s+KINnxScWILwkNIEOpKOJH0DvtH1+U7GpkW thwZwuRn8zu6hlYL3FvcFWT2QpohxLXItknJ68AfUO+FbJp1dekDG2l5jENiwpQDKzEBF562mSUm xESQLWACnU/pPiaE8ZMVYyFBYWd5qCQmgBGxMe1jgud0DxNolZYtYMJKsekpMWFlxNPHBPpOh1Ik JhAEYooKoLB5nvYwoXNuDxO8pOpjQiNnwMeETS6DjwkymguYsITe/Y8w8b/bRzdSWYOWqS2bDB6T /Cn4EZqY3sScg+G0TPlu8TKEKZR7IkX6VgYgTCz/tLCYzgg/xAtBKcK6KhJ9FIvbBkoX66BwUmgq RANM5nnK5mABNXomJRSRhxodICI5Y9ToKYOGWqJGpJqpAmpsUodFHmygHGi9UqJGjK1ZQI0lJl8f NMKnLmDG0nfBjBh2o4AZFCTWY3zM6EKciwqgMchI8zAjFlzSBczoKarIgwyV4UMGiZrVDDI68cKH DAzRZojRRWv+My3y/RCiYxbA0KbwyJKHb5HDncrIdzFUae/dEE202fgXA675oQwt2ok+kZGeImdB 8DRlsOBZWVbsZBXiI6GNNU8u5Wq8JVfgyUAx5JRuYJIQ/oOHIGFrWQUI2QWtI5IKE5EY16wYKg8/ mLb0ZjORSYz24CN0ot4MPjoh0YePwRaXhx9ytH0AmXTKpAAgXUydBQDZpCg8ABlSnXn40UQ3CvhJ J+1UM/zYPGt5ANIYXR6AbFojaQagtJg9myPIbAYhIXnyEhBjQjSZkGRbkFbhvgobA+O2W8vGFhOu WP3T0oZ4ary8mEKZlgnHFVjeTZKZEiBN7S7JyAgRzu42iRqy27rAXpq7d5dk2CQQXpJlZE0+4cbd NoWpImYwncx1sXKdAm7o1JB/aAjCRLrbtlNkPIu5XEDF87mlX6XTfKoLC5G8Wbl8T7FCwWbMwgYU Yy1eJBfqNLmE/r8aBV1czBIbUIXui9MgadF9G5ICBNgZKE5Y/j3ZxRJeJi0JZIS9zuZBRvRQrAGx jyWsX502CgzylDK0gEAbeGQlsEa0hCyn6ayiJcSZXmmRSJjaJm91CAnWWQAtPltnsz9APgZNPOKc Is0scuWOvFRavU3YvLxs8TqGbnuHMTVeWNOTtMoqlrPIzRPLmPLVJCixA2Gze8vbLNTrhMXL57Lf CVP6WCleWuY9GoP3HVPyHJ10ioXO4S4wY7h+4Y4I71/ygPZtpFdsCkfeTpGbliavmM/WMZT0JHvF QJKRZeVIAczDhlwFSontuPQuwygaJJYlxdFH4T/rzHxa1mKHRqfzn7SiZ/OOtFBYUhPqfOQyLdCh ST+dGC4Ui9BNnG7zkUxLlJ4WCpgrEnsysh5NRoqzouk4tyTh5fC2xXVx6pMmCIFL2eMs6TWdvdq0 4C6fbkzREhBNChk5KBm5Ai+W1HlwMuxHmwQGDsDNIo9brHsKWGVhj2RpcSebEda4fPIKUMYSKtnO sL9bgIg4BCCGraNYu+YzkWgXH8oUNkwyK/kpFmgMYTLT6niGdobI7JTnVzVe5BGbajLVpG1hQNug vVWDVGdpEWOIvzbI7zRoWjM1KZ9yLElncyOIR/wqN4W0OMOSBoHrStBQYC7L8ipE2gMhupwRLnyG xcWS7zQI2bS3HWPKwhIMCEKSV478y2Mt97BkIOttSbLiEAInDj+bvNzJ22wsSjy/CZPE8oBI7WDe sV4wvRUxzTuDoPMZBF5DTukyh+yTKMbOetpE7q2leHLlY+YpPq+q+QLMyljjNSsGHX1A+xsaLXKZ tOyVyfr5eIxFRl7IsOX6dibr41fqPm+B1OQ9t4TUdnJFNMUbSXLaZzbzsrK3u5JgTWbL3TWxzshT d5ZXs1IpsVQiLzJaYv/V3s000NzXL4KlmG2ZEn70U4IhtsZbpoTvPSXAorP+/ZRg2Aaxy86IIYmz dJKO78iQygo423KhSSA4y7tDGq9C8nDyYQqN/WV5ziorX5vzFmyggRJrrDYLlhQCqoElTYJbp+MA ch+RNRzreQIN80mndQxS0MCwJd0x2g1lEchm42nv1oJBlihrEo2XcnVe+KfJgiY5grE4UCKkhKZC YgK9McQ0PgdCxZBoW1LhM6Bsnt6Ewjf5LJwtdqq8Fda0J4ms1gx2uJOGxzZ54YEZSrMwDwBnZ+lN yeVukj8+UpdNybLkGCW8PKRnuDTZczlKGW+9nY8G6eT1kboQt1a8VvHeMw0Ws11sCrK4GAY3hCcO 0swGLWJIJS1Vn1TzhCqa+nkWFcpTo70kWjSgmYVHVH5g8J0kVkbEVH90MaVZnpPhnxjgaYinFuIn T9bMMT7rYHmqjvAoZUWiybNupMJjKFhy05RUqZ+FEc8r5+SHC/Um7RCd76IUBoX5b5Cykp0Suo8H mVsgq8yylULgp30k2wuJ4aHSNK8GVgqsI3WN75CxuvVcXLmbT6sIrFDlgb+ucP7Eip2xO8fJFMs2 LbPkj32WNHXLbpklv/8saRrWd8ySpmlpApeUQxNHgIWPYNOKqCaPf0JJE4IymaQusUlHXjic4elH oguZr6XFEulskPbVxI8yeBVlLBorTBR8GtcikU5wiANi+cTSNLFstztZzmpGiyz/+GU5q2dbZPn7 y7KlCU/638mypaU0FgyTDBKMtUXn3wwyeU1Teqo8des2GzQJ5p6Y/nkpwEzLqTdBCJUHo1J8HkMu KTBGTHlslgzcbGHbXROCZtpyBOjVsNh40uJk9SXYWOai0/JytC0PJKA4iURa+GDeiIXVrGdYM1I1 3+aTbj+DmkbctxBZD7FhJEvlb7Le4U2bLu+SZUgGD41MSo5dQc7EMW42s8V+gUmeeiWbVfKsUFr3 jxikTO9iOaNDk4tE0vzVvL55dpnnH5ietMt3c5cz/HySy/+YeypkJpsuLHqwze8ZgWyAih/88C1o 0y4E+PyJacU92WOMsiHHjPIMMLnAxOteKbnovasBZqXTdN5nN0rbSqVTLUr7R6+0rVTWbFHa/4HS TmeN71DaWYMuHdmZrLxDIpcRBVjpopotvVUWd7nyyarZO45HaJZ+IcFYrt6m5BlD3VesmpfDcynZ S5TiIFdHm7nn8i/7XQlv9ZlhTYyUa9BpcusktnRWLVSMnA2y5M+lTCmpjCsxqpksCwk7glQAM5te SX+KVrMGI+0JqbEyBQXq+bw6DWE67SlQfjcLStO7NJD1eSyl3/QFj9YSLN13odmtZbPW77w8VcO3 /Rgk3inKjFk4RWmxCS3WjA1b+vXybo7d3E32pjAhpOKMnPduy/0ETaw+eCsDQBafdk+J/9GKN4Pw WVOxm52VVyIwo/l10XUHZr4mhYoHUJwBjCfkzM3qPSXvzGm6t5AtpxpWKaQCMpgJxfU5k7RXT16k oCOxplyikLyRM4x0KXhazxCkCr02vBuNdkoaBWyUEHak3jZ5KaywMKXLA7KEkwz/ngqJtmhHWm5G ACP0ylqPLQ9vE4QnaxZ1XsLwVtqkNtWTcs2OweSZHb5uYKlhnScVWcE04Q0G8ZcVob9/k2WUGPwT G7ZtETR2M1valtkyW/74Z0sMcMts+R/MlrZt6/9+trTtLJ0OtrNymBghmTTvJGqezu7onb4mmZd+ BkTPKmzimSn58zpyXpBKnh/eNmSWfSJvE092j6fg5rOHNyl4cy3XyDc42ZIWB/oELrnrtCZekF2h 62zef5Brn4Rhi5gqd0EZfdJbocVq3oY05YSTSomLNfLikTwmY6ehq+lqKR1R1pqdoCEVI47v7SZJ nPsS6uvbSVZG0/gnvb6dpKcs8gq+nWRmLL7QuJsk2+CrUbtJMjQ6sLabJMNOU9zukgzb5nth30rS s3QqcHcpKZ0Pqe8mSZz90oWwWVmTZrRdD1iZllA0cUteljXTgIyZ9o8aoeOmuPGZobtR8hYoCTxd 7eWbCx35jrfu392jzPKOt7yiybf36NIVneBNeJdL/R8n8O5isX7m6x3eRaB0Rr7TrruV5avquhn3 rlSkvXuedBVAQIp/i4xsGn6Vl801vhnHty/5CghfaJF3a+Xl92Z3nbPeor5uNbsyRdce+M4kH5qS 2UgAOZX0i6bLnzijKHndmn9UjS7yeDV690rZlsx4zCo0W96sEaUXLoLyvRV5Q4Sv2fMZBZJxutAh b8+QSJhyXUWckaTfVMjQL8t5P6mQlscZUt7PIYhlUMP/2QLvwqKe8q6tej/4RgZ5c19fahxTbuto undlk8aV35v9tJnGS6ry1ycYWt6lXL5byXf3xB1MvsBC9mJabi7JX5Kgq6y2GW92G4pv5dLVE775 5B1l8G7FUssMf3wKPyonIMHmD30n933IxzH4CoZUpJrXE77fQ4c6aAok3Sd/mM5jhHdxRr56v3fh Hc+j+6N0w1DeLpGXU7glVK+HE/ZI0t7dMO9H5AwJPysrr6CI0/164bKvvFfIZ+H5t9P4Qo3J50il KPIvUlCT+D5ZRp61lusmGapQ864NM8LlDmDK/0U6TX4nOSPv08ifkJM/sSivUkt+GJ67luYLlHIR PuX/9pt3/YvvAnEzdXmJKi2nrrTtLeEb3oVgM5mK+1f3mAcSPHRswbv+RQFLZ5HDdK2TYUY/JClu 8JDKIu/BZmNeDFCKD17qQg/K60MWu68WG4mZrHeTq3DZKCPvaaUKv7pAt7gEenRdBkRT5fYEr4vR SXhxCD5DmsiSKiZNd/iz3ggIE90/CGXavKtLpoYmzFWTFabQa5i3vZ9PSNF2uSHvrlEhJl2zFHcW paem0y0OW2gPTqZemKbQVhk+aEUPutaUafZ7iBne4WXLj+wTOptmkNWZpv13PuNssBHLFrw89y+d ZUuspBr+RUzeGid4iEoq5U/iZOTPzYhfJrFZhOjcr1irZ7DRzCR3dFPeuTPujnfuLMs/HeINjEEm iPxtwzT/OqIcVosdbCtpeG2ksw18pdSSP3KZJpnP+tfv5fjIX4Y0CzvT1CBijfic7zBnyXEg9Ut3 mhKpwl1BOhtosLlA7zREGflDLvS7BgK9Nm3la2zNEgPEeYAsOSGG/7teWbE8YKZMDxcZdrQzglfp FGmCDC8J8AVmsYIsVngYtmle3dZ4xrfI2M7ydGjz/MQGvM6l63T1TKc7N95PJhh0hUmYteQN0PU4 sZMnepfOyNvQwu2x5CpDio8wi9bbwgW1uPl8NVDcbzHJYqEfBZFYy9AvgNCl2ownjVJrawJzzHxY zymGoS2WxC0pXtwoBoVpsVdukfGbTstboKwUuAUJ2QTJEC3unQoXX4izHKxMNOHoiF/YyNIkRRKA HprSMmC/kE/pEXflrzMYXjUCYin6AQp5liEl73tzl8VvjqRZPMRNC++3M0zpeTC4DenCIEUeP+TZ hvRsyvQUGusmljzhjKazPKfL/lX+/zo17tmrpsaDA5+IVnzYXE1nqAm6sKnxpERhhojzsexcCXM1 Tb+ZJXYiABh8TRe/Lf5FpCwmPPLBvncTzy/KpnVa8zPMTGEvWKPrDby6acr7pFm5LCQ3anSWSe9g ir/k5i/7SW+ez8kk5FaLJvclKoto0ZJ3stK8piSO4dJSh3duhlaTvOWurHc4Sx7elcd9eUuF3Uq2 /cm50gy+giZ6tfvTyFqKlm90waaWjbifxEbcXr/5tqtC8N3hTFbn5ZfdqQMjo5Hh9R3qwMiktf+H 6sDImNpPTx1Qr/6tOjDEFk/Lau6P9taOlqHV3ObD+L9ezX0rwr7+2FajW+0LN3h2q5wsS1w4/xe6 yTLhNKLg79BNlpUy/p/oJi3DLEK5LTL6Y5XRrEHnQ5uPYsuGy78RSzl3WZZh/Pu5y7LsdIsp22LK 7kFT1tsnbzZdSKWd0lIthtWPXmk3H8UWpf3dSjulad/hcLTIxU/C4WgRjO8nGKXluZKqmoqeJVU9 4rleXYgqS7rlqkv65CAY1TUVVbl4dfeKviKyqE2bjnhcWlVSVp6rQqjwJuKrT4nrRYGDAuylHRo4 JNCqqLKyc/OiWhUFIpTeNqAGlECC3g8MdAxc2KnjZWee3bFTvF2HCzpcctbZ7eOnIU0BnSqfSYhu 4Hv/i4HyaiEcAiWU0P9hjVFQo7prfeFAGM+Iosr0TFihkgM/QM8ju7QkQs+t4IBIbxNUA0cqjzhr QT/8GHBLIj/wWHgcaD4mfeWYZAMBda4TUEc4UaKxTpH6oNNKHekcrA53DgUdDjoK9EvExZF2nPqQ 0wbPExE+GfEayAKl8f0p6ijnVHWMc5o63vmt+ihorpMiehw00bHVh5F3nGOiDA11JZH3JDxPRLgt 4k9QJzjH47vj1SdBc1GvoMdBE50j8e0RyHM48rcGHYJvD8KzFb7dH/XthzwxfBtTnwBNAol+Mf3Q Ix32MffDjnQBYYWRPl+O9PGBbuBEN3WG00Wd7ZSoc5xr1HnOlaDLQBcj7SL1VecC9RXnfOT5vfqS c546DTQFNALpgp4DTQG9AHrRuUSd7lyKvJerM52rQNeCShAuRXwO6V3VqaBnQSOcXkSifqYfekQK MvBD60EPCYUR+RWNiAo9FQk8BUQPJBrpPEU0TtJkxAl6Cu9PUVjQvqyz+ki+HRdoHVgASV+gjnYW qX92XlPvcZaqQ50V6u3OSnWIs0od5LwH+lAd7KxD+HP1DmeDepezWR3mfAFNtQXa60vw+EuUsQX4 3AycbwJm16uznM8gGx9DNj6ETLwHWgVaifAKxC9F+mLgegHkgOt/1FkOWoFxeQPy8pb6svMOZOA9 5FuD51qE1yH+M6R/jnyfYXzXoQ1r1buRPhT57kT+ofjuLtRxL8oZSeUJ+qFnyfC3ZsmOwUecJ0Fe eAHeDwvtuVlzT0luZLezZjo010mHRji/JRrrnB560DkrNNI5JzTcuQDUAXQJ6FLEXY60K0IPOVfj 2Rnh6xDfFdQD1Avf3xAa5VSHxjg1ofFO79CjoLlOT6LHQROd8tDDyDvOKUMZ3VBXDnmvw7Mzwtcg /urQBOcqfHdV6EnQXNQr6HHQROdifNsReTog/wWg3+Pbc/A8C9+egfpOR57f4dvfhZ4ATQKJfjHt KR29p2bN8G5nzXHgxLjQDGdsaLYzKjTHeSA0zxkGugt0B9KGhF51/hR6xbkVeQaGXgJNA00BjXBu J3oONAX0AvK/6NwZmo5vZzj3hGY6fwYNB41CeAzixyL9odBU1PcsaITzGJGon2lP2TF7Svv/q1lz LRD9ItFIZy3ROEmTESfoKbw/RWFB+7LOaj5rNkDSG0OjnabQn52vQ/c4anioEwrf7sTCQ5z9w4Oc g0C/CA92Dkf46PAdzjHhu5xjw8Oc48PDQQ86J4Rho4cfBT3rHBee5sTD051fhWc5R4Vn45s5+HYe ypiHsuahzDkoe7ajIH0ncN0IORD1CwqijFB4shMNv+TsF37Z+Vl4Jr6b5RyCZ2uEj0D8UUg/GvmO Co9EeBji70b6UOS7E/mH4ru78P29KGcklSdoX9ZYB0qNFQ5o4blOlmi6oxHt25pjouTMRYGzwlOd C4CrC8MvOB2AsYuBtU7hGc4fgLsrgL//wbMzwteBa13CLzq58POgyaBnEH4K8U8g/XHke8y5EnQ5 6FLQZeHxRH8AXQUZ6Rwe65SERyP/SKc0/ACef0b4XuePwPC1wO3VwO8VwPFleHZC+GLEd0D6Rch3 YXiEcza+OQeYPw9pF0A+O0AeO0Eur4B8XoPndQjnIJ/dkX498l2P/NeHRyE81umKNlwXnoD0iQg/ ivjHnfLwk05P9KFn+K+gaU4P9K87+lsKGb0W6LgC8toJ1AHh88OvOOeCB2ej/4JfgvZl/VlAT29w YgDQcDPQMxDouRXoGQxO3QbU3Alu3oPnfQjfD+4OB/dGAj0jkX8kOD8C6HkA6LkPo3EPEDMUdDto MGgIRuw20O2gu4CeYRjF+4GeB4CeBzCyDwAV9wMd9wEl92LE7wZq7gR6bsNzMMJ/QvxApN+CfDcD PX3wTV+goj/SbgJ6BgItg4GaO4Gee/G8H+GRQM9opI9FvrHIPxboGY16R6INDwA9I4Ge0UDPWLR3 HNAzHn0YD/SMB3oeQv8eRH+HAy3DgJ47gZzBoFsQvgno6Qce9EH/Bb96/yDo+a4Vv8nhR5xN4YIv E4084hwSKYQ1vPeItKwIsm8zMjLXGRkZ4YwjGutMiDzoPBoZ6TwRGe48DXoONAX0AuJeRNpLkYec GXi+gvBcxC8ELQGtwPcrI6OcNyNjnLcj40GPguY6y4geB00EPewsjYxzXkMZi1DXfOSdg+dshGci fkZkgvMyvpseeRI015lK9Djqnwh62JmMPM8h/zOgSfj2L3g+im8nor6HkedhfDs+8gRoEkj0i6ll RVD4Nk3gRFNkhpOPzHZ2ROY42yPznH+ANoPWI+3TyKvOusgrzsfIszbykvNRZBpoCmgE0gU9B5oC egH0orMhMt3ZhLxbIjOdraB/gnYgXI/4BqQ3RqaCngWNcEJRQaJ+ppYVQfZtfhcd57QmGun8jmic pMmIE/QU3p+isKCWFUH2ba6OPupcHR3tXBP9s9M5eo9TEh3qdIne7nSLDnF6RAc5FaCa6GCnH8I3 Re9wbo7e5dwaHeb8KTrcGRR90BkMHg9GGYOizyIePnx0ujMgOsupjc52+kbn4Nt5KGMeypqHMueg 7NmoY5ZzbfRF1Pucw/U/6pSCumBcukZfcsqiLzvl0Zn4bpZTjWcfhPshvhbpNyFfLca3H9rQJ3o3 0oci353IPxTf3YU67kU5I6k8Qfuyxir4NvdBY4wmmu7cR7Rva47HpATYgSMDy6IPOPNB84CoOZCA 2UDRLKDpZaDqRTyfR3gK4v8avc95FvmeiY4CPeQ8HX3EeS463pkaHYt8Y5wZkKLZeM5H2uIo5meg b1n0SWc5UL4s+jzC053XgOaF0VeQ51XnVYzBLEjFdNA00BRIx7OQjknI8zjyPxZ9HDTGeQKSOQnt eA5SOQVSOA3S+DKkcjae8xBeiPjXkL4UyBd9WUZtfA5lTcU305zJqPf56Ay0cSbqmuXMxHM2wnMR Px9SuAD5FiD/gugkhJ9A/GNIfwT5JiL/BHw3Ed8/gnIeQ3lPoNxJVL6gfVmLniSl65DAKiBkFUZj J9FQpy56v7MNqNgS/YuzMYp5Hpz+HKP9Iegj6LKPocc+pbSHnC8xWv+k75n2/A7GkUrYbQPywmfi /aJm4R5479ssPBzvE5qFZ+H9NVDLjgefE2jrBtQ6J0r0tVOkNjqt1HrnYIQPVXc4h4OOwvsvERdH 2nHI0wbPExE+GfEa0i080wifojY4p6o7ndNU1f2tGgG1dVNE+4HCro14S1VcE2VoyJcEnQQ6EeG2 iD9BDbnHq1HQ/qC27lFEMVDYPRLfHqEG3MORtzW+OQR0EKgV4vZH2n7IE8O3MbUIdABI9IupZceD zwm0dbupx7hd1OPcErWNew3CV6q/di/D82KEL1KPdy9Qj3XPR57fq0e756lHgH4BqnMuJjoY+Q4F HQ460r0EeS5Vf+Versbdq0DXgkoQLkV8Dt92VVuDDgbVOb2IRP1M+/K65ZFybhej9BRQP5Ao7zxF pLhPgecDiVrhvRWF92VdVeN7A4cGFkDCF6hNziLVcV5Tv3KWqlucFeomZ6W6wVmlrnfeA30IWqdu dD5XNzsb1H84m9XtzhfA3xZorS/B3y9RxhbgcjMwukn9pbseuP0M2P8YMvAhsPkeZGIVnisRXoH4 pUhfDLwvwDdcf9RdDlqBcXlDPcp9C5h/B3neA60BrUV4HeI/Q/rnyPcZxnWdus1Zi7asUb9EG7c4 7+D5FsIrEb8C6aK8ll0O4QnkMSJ5cD8YFCTef7lPa4vnJPpPgd44MHiY2zrY2j0seKR7ePBo98jg r9xfBuPusaATQL8OHuP+Bjw7CekJ5E0GD3GLgweAikD7gWLuycH9kecAt03wIDcOOgp0GMKHIP5g pB8YDLkHBAOgRueA4A7nwOB25+DgVueQ4BfOYcGNztHB9c6xoDag3wQ3OIngJkdDmoE8FvKmgg1O Ohh2UyjXCh7uGmiPhradHDwe9bZBvW1R76/do/E8HOFfIP7nSD8I/RH9O5Da3eAkUXci+E/npOBX zonBf6C+Lc5xoGNARyN8BOIPQ3rrIOwUtLU12nxYMOgeEYyg7Jh7DPp7HPrdBs8TET4J8QmkJ5GP y2/4wW3ZAvIPIFs0HFCV9m4oJqi7oyqC2rt7zsI+nVr1q8DK0Is73gwt3bEq9PmOd0MNO9aEjq77 JJSp+zLUra4+NKzuoPDqul+HD62/LDywfmD4g/op4Wz+g/Bt+f0jb+ftyGENpZFrG+6NjGuYGVnT sCFyZGPr6OWN7aJ/brwhuqRxfFRpWhw1m+qiPZqOiz3U1DH2elNt7OumSTF9554bD883+Gto8o7J obk7/B0GvE8Jve6Hxfvzoff9sHifFtqyo4jCwYB4fynUtOPlULTOy/Nq6Pi6uSGtzssj3peHrqx7 J9TPz/NRaDg4/IifR7zXhz6qawyt9+NiYaX+1+EL6/8rfEm9F5cKl2MUnq6/JjzDj+sRXoVR2Vk/ Inxc3ot7NPzf+SnhS/NvhG/34z4KT8CIfZY/ILLJj/tVRG2wI20aOkTOb/Da1jlSihHt3uDlEe/3 Rh5vuD8yyY97LDIXo72u4d1IrNGL2xQ5BiN/RWM82sWPM6K1QMJ9jWXR2X7cTdFVQMXOxheihzd5 dS6KFgMlxU1eHvFeF+3apMRu8ON+EbsNCBrZ1CG2yI8rja0BmnY0PRz75c4976naododqdAwHx3i PRt6fMd/h6b5CDoj9OaOs0Jr/DwXhup3XBM6ua5zSPfRcX3ogrpeocv98I2hG+oeCP3FR8bDoTl1 j4aW1D0WWurHTQ19BpQdVr8idHi9990HIaN+XehUHylfhS6rrw+V1h8Yvt3Pc0x4Qn2b8CQ/bIXn 1l8a3u6Hu4R/lu8RPtRHTG04mR8YtvMPha/1454N9wHaavMvhG/x4xaER0FH/C2/Prww75VVF/4w /3V4vR8+OPJ13ookfOS1j5zVcGHkIh9lnSM5IPH6hkGRB/w8I4DChyLP+3n+GlkCJL7f8FZkhx/3 eaRV44bIQY1bIq191AWiCaDz3Ma20asavbKy0crG06P9/TydosOgs6Y09o/O8PPcE13ZODz6vp/n yejWxsXRXzS9Hj3KR++6qN60KXqKj8qd0Q5Aat+mNrEb/TzZ2LCmM2IP+nkuiz0L5K5qGhB7189z f2xL05iY07Tn9KLXui7BE3bkgifv6Bos9pF7Q/D8HX2Cl/nhQcGKHXcG+/vh0cH7dzwcHFvQpcHn d/wtOMsPLw6u2vF68EM/vDbo7Fgf/NoP1wdb1wVCx/ioPziUrjsidLof/i9IhB4q8RHfDvq0feim ut+HbvXzXB0aXXcddKkXrglNr6sNzfPD94Terxse+sQPPx5qqHsmFPLR/kroqPoFoTZ+eDWk58PQ 2X74H6H/qXdDXf1wLDwA0nSbL2HHhsdDZz9RfyLIH/nwK/VnhBf5eS4JfwQdvq7+yvAGP0+P8Nf1 VeGYLxmDw8fk7wr/xg+PC5+efyx8nh9+MfzH/CvhMj/8RnhgfnX4Tj+8Ebp+a3iSH1Yjr+aLIkv8 8NGRtfnjIxv9sB0JNJwW2c+Xsg6ReMPlkd/44bLI6Q2VkfP88KBI54ahmBf89kVuaXgscocvgX+L jIdUPtYwO/KEn2dl5JWG9yKL/PAXsBa2Rz73w5FoY8MB0bAvecdGj2r8TfQEX/JOjZ6CueRMUDs/ z+XRKxuvjV7nh6uifSG9A5tJ78jGEdGH/fCT0WmNk6Oz/DLnRd+CNL/buDT6gZ/no+hXjeujeT+c jx7YpMYKc1XrWKLpV7GUHzZi5zedErvUl+yLYmWwcno0/SFW5ee5PnZ7U1XsPj98W+zxpnuhAbzw I7G5sIiWNO35Oeyg2CD3oNgwd8/bZh9EBrkfRIa5e54nT4UHuU+F9wae9A4NcnuH9gaenBEc5J4R 3Bt40kod5LZS9waeOMogdxLkZ19evTtCruwUBdqHO+y4JHz4jtNAvwsfvKMSVIH3q0AdkNZe0p4/ V/YEEPSEOsHdl3cP+8l1p+MDrQM3q6vdm9WV7i3qMneguti9VZ3vDlLnuLeps9071Vnu3epM9z51 hjscz1EIj0H8OHWu+7C60J2gLnEnqitAb4JWg9Ygbh3S1rvj1U3uQ+oW5N+K77a5D6jbUc52lLcd 5W5D+VtRzxbU+6nLbVjtDgHdhu/vUDe6Q9XN7j1Ivw/0AGgEwqMQPwbpY5BvDNo7Sl2A+Hnu/Wjv faB7QEMRvgPxtyF9iCyz5RyGWH19Blx/gWiT+wzRNndfPodRLTmTDnysfuF+DG7MItoK2uLOBofm qp+784HPRerH7lL1Q/d19X33TeBplbrKXQ3Mvwfsvw8ZeA9y8y7kYTVkZxVk403g8HXQMtAShBcj fiHSF6ivgZa5r6hLUf5Cdw6wOg/ytAhytRTy9Qbk7G0830P4A/VV90Okr0W+j1HHWtT1EeR0jfq2 +3f1XdT3Pupag28+dpejjUvQ1tfUDShrE+oS/WHaU3N2xNe4f4f18PfghH16D6S5xn0huNp9IbjS nRZc5r4YXOz+LTjfnR6c484MznZnB2e5c4Mz3YXBGe4SPJcj/Abi3wrOdVcFF7rvBJe4q4MrQG+C VoPWIG4d0ta7bwc3uW8GtyD/Vny3zX0tuB3lbEd521HuNpS/FfVsQb2futyG1e4M0Ex8/0pwo/tq cLM7D+kLQa+BliK8HPFvIP0N5HsD7V0eXID4ee5itHchaB7oVYRfQfxMpM+QZe7LuzoFjbsOXN9I tMldR7Rtn7YXx0rOnB/YDgzmg5+4DcHP3UZgbCewpoS2uGFQFFQU+sL9WWiTe0Bog3tg6DP3oNA6 PD9CeI3bKvR3pL/nxkLvIv+7bhAUACmhN11VUgRUFHoDZbyO/MtAr4EWuvuH5uG7uW4oNAf55uC7 uah7HtqwAG1ZjDYtdf8JGXMQ3gGZq4fsNUEGA6GZ+GYGvp2JMmehPa+6P0dZv0CZvwgtAS1H+A3E v4V6VuH5DsKrEf+e2zr0Aegj9zD0oXVoPeI2I+1L9OUrd7/QNpS7HeVvQxu+Qn3/cN3gF2jDBlfw SNCet5kPhE98YLjFZvY0+KcY2U9DK0HL3M9Ci931ofnuRqBpc2i2+yXQ8RVQ4gAt9Xg2IRwIz3bV MFAXXuhGwktAK9xo+E3QatAahNe54fB6NxjehHxb3K9DW91GIKIeyHBAX4G+RHgz4jdCOj4Lfepy G1a7m0CbgawvQxvdrUDWNqQ7oDpQA8JNiP8a6QHU9TXa2xQC0oHcOrTXAW0DbUX4S8RvRvomWWaL zSw0+M/D29wjiDa5Pyfat23m/5JS0ApxGfAiE/7MPZboIzcbnun+jugjtz3RZ3gXJPJ59BFooftr ejLteQu1XWSQ2y7SYqF6+u2IyGr3iMhK98jIMveoyGL3l5H57jGROe6xkdnuCZFZ7q8jM92TIjPc YjwNhG3EZyJz3VMiC93/jixxT42sAL3pnoZyTo2sAa1D/Ho3G9nkpiNbkH8rvtuG77ejnO0obzvK 3Ybyt6KeLaj3U5fbsNqNg47F98dHNrptIpvdE5F+EigJ0hA2EW8jPYV8NtprRhYgfh7S5yDfHOSf g+/m4fsFKGcZlSeoxUIV+u0ccL0D0Sb3HKJ920LtITljBq4ABjtHPnH/GPncLQHGSoG1rsDc9aCe oMrIF24VOFYDXPdG3t6RtaA1CL+P+NVIX4V8byP/2243UBeEr0P8HyPvuVdF3kXZM90bieYhbR7q WInyX3d7QHYq8ayJvOH2jbyF9NXuTZG/g9aCPkV4o9sPdfeO/AP1fOX2guxcD8ph5EoQvhbxVyP9 ysgGV/RB0J63IPtEB7l9oi0WpKdhO0RXux2iK92O0WXuxdHF7iXR+e6l0Tnu5dHZ7pXRWe410Znu H6Mz3Bye3RHugfhe0bluRXShe0N0iVsVXQF6E7QatAZx69zK6Hqkb3J7RoHS6Fa3W3Sb2yW6HeVs R3nbUe42lL8V9WxBvZ+63IbV7h+I1iF9o3t1dLN7LdL/CCoFdUW4O+J7IL0H8vVAe7tHFyB+HtLn IN8clD0H383D9wtQzjJZXosFyRp2ALg+mGiTO4Bo37YgH5JSoAeODEyJvuZOApqfAqqfhAT8BQh/ DGiaCBoPegioGo20Ucg3IroctBL0DsJvuWPxPj76uvsI6C+gSQg/G33bnQzkTYl+4E6NrsXzM4Q3 If5LpH+FfNtQ9nZ3HGg0wiMhDQ8A5cOQ797oe3gudYejDaMgbWMgdeMgfY9ACv+C51MIP4P455A+ GUgXbRc0EvWMhDSNgvSNRl1jo1+gXVtQzxb3UdBfEH4S8ZOiG9ynke/p6MegNQi/j/h3kf4O8q1C /lX4bhW+fwflvIvy3ke5a2T5a/cCK1nsdk6KtVjJng6/JbbavSW20h0YW+beGlvs/ik23x0cm+Pe Hpvt3hmb5d4Tm+neF5vhjsDzQYTHIn58bK77cGyhOzG2xH0ktgL0Jmg1aA3i1rkTYuuRvskdF9vi joltdUfFtrnDY9tRznaUtx3lbkP5W1HPFtT7qcttWO3eRrQO6Rvdu2Kb3XuRfh/oAdBIhB9E/Fik j0W+sWjvg7EFiJ+H9DnINwdlz8F38/D9ApSzTJbXYiXLnTNw/QWiTe4zRPu2lVwsOXNo4BVg5hXg +yOiBe4HkIPVsTfct2Lvu6/HPnFXgFvLwa2FRFvcRbEN7mLEL6X0le7bsdfc96iMAu15a9VR1B2f gPa8znWUW9GSW3fsDTxR6j4B7Q08GYiWDKzbG3hyc/0noL2BJzvRkp31ewNPBuQ/Ae0NPGlESxrz ewNP8g2fgPYGntzY+Alob+BJPVpS37g38KRf0yegvYEnp+wU5wr35VWSKdK2+EPgrkC3/ANEZaDy /PBARX5UoCo/JlCTHx/onX800Cf/JJ5PI/wc4qcEKvNTA71APUDd85MDXfN/DXTJPxMozT8VKMk/ HuicnxC4Jj8ucHV+bOAqlHU5yrwUZV+cvz9wIZ7n5kcEzkL8Gajjd8j32/wjgVNRx6n5Z0FTAqfl pyHupcDp+RmBdvlZgbPzswPngS4EXQTqkP8b0YWg85H3vPwLgXPQlrPRjrPQjnYoq13+MdAEhMcF 2ucfQp1jA79HfRfgeRHCHRF/CdIvRd2X5f+CNj4duBLfX41y/gflXYOy/5ifjj69jP7NCFyPZwXa VIP6+uSfD/RH3hvR35vAnwH50Xj+OdAvfzf4I/gpaF9el7lBoisVeCNwV35lYEh+PeiTwOj8h4GH 8u8FxuffDjycfx20AO+zET8zMAIcvg80FNz+U/4VcHcOUDcfHF0Mzi8L9EQ55fl3gLq/4/kRwp8A iZ8HqvMbMCIbA7X5dRiFjzEKaxH+ECP1d3z7XuCG/CrQG3hfirjFSFuI0ZuPUZsbuBV13AYaChqG 8ANoz8j8osCDyDsa7RuTfwvPdxFeg/Z9hL68IWlfXls6Xo7ugYFFkKGlkOEZgXh+HmhJoBgjZYFz 2fybeL6D8MeI3whaCXlejvyLJO3L2vc0ycGjA5+BE1vBnTpQEzTiTmiyndBsAeW8vKqcnQ8rv8sf psTzx4AOVS7JHwA6RDkF73r+cOXX+dbKyQgbyH9JPo+ynICR/2cgCToxvx3PbQh/gfjPJO0NJ/p3 NL0J2pc9+8Kax6mKsrMjUb7pVCJl57688lfQLUOUg3feTPR5U62ysamfsrmpRtnSdIPyJWhDUx/l s6YblY+bblY+bBqovN80hOjgnYJa1tMEtsaAExOJ9ts5huiH58zeuev8tBLcOVVRQeGdLyixndOU op0vKT/bORM0GzRX2X/nfHBsoRLZuQh5FytfNy1SGpoWKnVN8xW3aa7yz6bZyvammaDpoBcRfgHx U5H+DHTbFOXvTcuI1iFtHdK2It+XTa8Av3NBC5V/NC1RtjUtV5ymFZD615WdeAZ3LleiO5eg7sXK Aaj/oJ2vYsRmKj9H2w5GOw/aORnxzyL9GeQTfRC0N/hTtQ1vgvblGb25Rh/c0JFoQMOpRIMb9mVf oLlGH95wM1FZQ61S3tBP6dVQo1Q23KBUgXo09FG6N9yo5JBe0jBQuaZhCNFwon3Z3m6u0Yc3TCS6 u2EM0fCGlrMevE/4tNK/4WmluuEZoOpZ5fqG55SuDZOV0obngaZpSueG6cq1DTOBqDl4zkd4EeKX KF0algJ1y4HGFUDiCqUG1B90C+IGNyxT7kT63Q2vKcMaFir3N8wDv19VRqCcEShvBModjvLvRz3D UO9tDdyG/g1TiQYj/a6Gvyn3NLyM9Jmg2aC5CM9H/CKkL0K+RWjvfKUb4nNIL0W+UpRdiu9y+L4b yukly+vfsDdY71/XvQlqsd5Z10frOxIF6k8lita37NuzPJYrjXXligv6qq6nsqWuQtlYd4PyeV21 8mldH2VdXX/l47oBoFtBQxC+Q/msbqiyoe5uZXPdvcpW0Pa6YcoOUCNIrb9XidXfo/ys/i7lwPqh yiH1tyuH1g9WDqu/VTm8fgCoP6gPwtWIv0H5eX1Ppaie29BYVwWqxvd9lAPq+ykH19+I9AEoYyCe gxAegvjbkX4H8t2O9g5BGwahLQOV9Wjj53U34tkP4T7KJpTzFZUnqMXP4FnpsPqJRAfVjyE6rL7F z2A/Y7/6qcDVVOD2BWBsGrjzEjA3E9ibjedcYG8+8LwQ6YuQd7ESxlNF+Ou6+cDXXKWhbrZSXzcT NB30IsIvIH6qsrPuGdAUyM0yog1I24C0Hcj3z7pXIDvwUeoWKk7dEqWubjm+WQH99DrKXwG5WI62 LEH9i5VfoP7D6l+F7MwEvQR6QWldPxnxz6Jtzyit6kUfBO0NfsYg9819fN9mVw07xC1XbgHd6PZU +rgVSpV7g1LhVis93T5KD7e/cr07QClzb8VzCMJ3IH6oUunerdS49yr9QDe5w5SBoCGguxC+z71H GeHepTyIfGPd25Xx7mBlAr6fiHImoryJKHcCyh+PesaizvtdbsMQtwpUje/7KKPcfspo90akDwAN BA1CeAjib0f6Hch3O9o7RKlG/A1Ir0C+CuSvwHc34PtqlHMjlSeo5XQra9gJ7kSiB90xRBP26dOt u9r9Q9ynIQXPADXPQgqegxRMBpqeB9qnAfXTgf6ZkII5eM5HeBHil0AKlkIKlkMKVkAKVkAKVqCc FZCC5UDpMkjBUvD5NaB3IdA+D/x+FeifCZoOmobw84ifjPRnIAXchiHuVKL7kD7K/RtQ/zLSZ4Jm g+YiPB/xi5C+CPkWob3zgfa5QP1stHcmaDrobwhPQ/xUpE+VZTInAj5GOKz6IxKhEWkbELwJEu/+ PzaI8xFKFQEA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0208_image364.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh2ADkAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAQDV AOIAgAAAAAAAAAL/hI8Wy+0Po5y02ouz3jH5D4JBSJbmiabqyrbuMb5mLNf2jec6rcN92vjVgoqO cMaAJR1Hhe0BWERHzKlUCIk6q9Jrd8lzQb9Wb7I4LYZ7a5YkzUX/sjEqkaysX2Xv71mvRnN2ZLeh pBXk5yXn8RZIBFe4dWeH8Ke4J1iFVlgZl1bm2aQ1RFUW+ce440nGVYn6ymea2FnnxCna1LbSFbqX AMnGGmyZ8TQL9UHLZKt7jNgpMigM+wvcarbLi3yqDGZ1q30jPlpufj4+So7O3u4uov4uP0/v4ywP SVy//xRfSlst0CFr/Aq2WMeHlEJB9orRqRUOEEGDFFEgfHGRRC+A/5+yTawIMkTGg8+iYYr4KKTK Gf5kQdt0DdPIlQZn8ioJS5pMmjyVtewJVKVNFUODGi1X1CKHpUybOn0K9enRqVSrWr2KVSOwrFyP 5pvWNSxIPLHEmq3JylfUtWzbun2bAxsohRbZzLm7A++4Jd3onkgKz67guHr3IuMB+Kzic4kXOyb0 ODJFhJQ+/s0EFsg0y0g8YsTMWeOl0OlYej74Sp9S0BhBkRbtOvNqxI1ZlsCjimgs2X/n8kYS+7W3 4EXL1rYNmzVq38IbEReTeu625yQxM76cDLojN9u5G/H+fRtAc5R3avel/dLnWknBqMbO97rk+fSa 07+fV3J2/D8dw//kf0+A9RwHIHKQ7WNfga3NR6CCWunXoIOBIVVfhBI6d2GG/WjIoRgdfniTfCBy lSA7Fo5YWkgnojiEOxetyOKCKsZYEYwb0siPjSL1tiOOIlLFkI8HVhWkkIUBeYuRg71DTpNJKknY Vc1AGaVVU1KZYn0P+uQXlp/1pM2VXibE0zo60nhmXVzeNuaNNJnZZotg9pgminUOeeeHefKoZpdx ApFVkX+GOGdge3J4KJ/IJXoho1U66iCkhG7l56BsvmnJpZYqNZWTm/YZlKefGrgSYlxKCiCqk2aq Kn6tbvgqg2aZMqqmhT7pQ6z6zVpprQ2FRauvaxolTrBxfpUJVrv/6EpkamEwC+iEbZI1CLS2Leul eovsR6Rz1hL70K9WUvptqBtVG6hP5QK7mLHC4iqWu8KuCyoi72ZKorr3whtvr5vSGy2l7wJcL7+f ElyvvAcrZirCXjmsqL3zygpxqPQpPGjFfWL8p8akcjztfSCP6TFJtZYcMcpjySpuxixL/O/Fs4yq Mp8jQ1kzUf7inHNdNxvZ87U7Kxk0oEXjo+DPvHbTXqP8cdR0qi2360coMrp6SGQPvRexyOA8ls0W 0q3qdW5npWJviVNfbPbZapOa9NG4cO2Ghm+D2R2ZEpY1ay9jQ4eo3MV87WaGgqvxt4d2Gwws3Tov njiaHYrp4+Eh/95doOWXa16lnpzj8Dl3QNuptNMs/jY5jqEDLrnqaKJuuOqrmxwj7KZLXjrWlc/+ +O6nE537y5UPLTXOqWpiKpWUMwyaoELa3rhEzo9ONW1zQz8i5qX+kmyy2Yp82PRAf35u8t9DTnLW xYd8O/uRurw22Jbyji/8mS/MOMMH00+/gDLTbD75nexpvtKeVyZWP/0VMHT9Iw/57sW9du3LgGXa V+TYZcFnLS2DAuSgfyyovvyZC4RtyxcJiYekE8IMhaVSodgw6MLgtdCFpKhZAweEoRTSkIUV3OEL peTDljnshgVBGRFzJEKhHBGJPKxJELdSsSUWsYlMfCKrEigUK5IK7IBaxCJQpDiZJ1kLjGEkVheH 1cMzDo4uuiJjjZbnRDU2QoYmkuOplGjHO84oj3OcIR/XuJAq/jGEZRwkIAtpyKwF0EWJ7CMVsdBI R2qQkZEUmKTcaMYkukQgmvwjBUWDPPFV8oKGyYMoRwlH8QCSPaPsUSkVuZtWimRFzYufLD9JNll6 8Ue6zGEde4lIYJagAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0207.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

(4-2) SUGRA A= nalysis (strongly coupled YM)

We can hologr= aphicaly compute the geometric entropy

from the area= of a certain minimal surface, just as we

did for the entanglement entropy.

Let us calcul= ate the geometric entropy for the AdS black

hole

The position of the horizon is gi= ven by

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0207_image365.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6WUTWgTQRTH37zZrOkm2jVJmxobiD34SUutN61H8VDioa16TUsjCk2rSWxYEA1I L548eZCePKkgthe/UNmT9qL1pBdBwdgWRYxWqigY52Nn2I31oC4MvN/M+//f8GZ2Xjx5dBnE56Zz JrTwaO4A4QF9gwAGdIrVEBstqCIkxIsINhoNEfWQDm8uovOimDPddIxFW81WSEGDJ4PNq7HoGhvV NPM1mcbLiUJ2pHx82DmZB3hGwmz2O0oF/ww2uon0TmAOZw0exVk0Y6o5tNTcbETpwwE98fTTxpQt c6eN0Ziam29Tc1PJ5npHbOV9Kcn78gMzDel8kQh/BHv4RCFfyhzKVzKDk4WRCbh6/WNljo1M76fK +85jC9ITxZ76rASe7uTSPkdyhvanOe/Q/Fis79F8SvB2R+lfbfLrx0O32oN8Y6OfD9LzAe4ihYSf E7hvQzC/bgV5KRTUPwgF9beJZNmf6s9/6w8VZ1XXfXpr3Ilzi91eHRc/r5O8Rh3kdYacwujkOEBv yjo7X4v/8RxkHQrKt2cztziq69STnHc5ah9XRL+6Nd+P+ddd3Nnq58P0dYTzV49vYpAHDMnfPL5L JK9q/TvKeUnrgzxgSF7WesmLej8vw/79urhqBvf7EDnv/62P5L/Oy8WJFHcY03XaxT0tetxhfmjz 8wpdFpzV6zM250G9fs/25z8ltRh/ZsaKyv9MlPh4hW4T97ZYVPldgrN6/bkh/PX6F8Of7+JeEP6l NfrSfL/O/c396l/P65RLlvfiWeJVFL8HyFox770Sd7lKEHHIKZXzBVjgvsAUW+CCEFA2aotxaD4D KvS/AHpcb3PcBQAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0207_image366.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhcwFTAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgBs AUgAgwAAAAsKNwwKMAsJPQcGWAsJQgoIRwYFXgcGWwoISwkITggHVQkHUgUEYAAAZgMDYwT/EMhJ q70430CK/mAojmFBBGSqrmzrvnAsz5/RoKKj0/wYHIaecAjSOYjIpLJleJCOEugS2QhOrzGpFMvt CgU31tYrCzxw5PRorG67P4hEi/1eKRD1fIWu75MHDXN+Lg0Dg0g7RYeLZARyK3xqRhhGfAkEjEOR E5uZnjydGVChXYl7naSfa4oAqaqvJAV4KpWuU0dsphkIHrAvqJW+wjAKCh+Juoe4e60gxcO0y1Gj ttDWu70ay9Ve0pzNHwOz18fUFNvk6SsHaKLcad7goT/q2t/n7/XpocmMo/ep8qnaQlCgvlL9ILEa GAVgDhiT+owheDDiDIsQ77ngB0sLuI/H/35prFPwnD6PMlDSMNgw5CstFEOwNKnHY8yDIC/2mImq I82WMnXWbChtpjIhrhIyy2jvU62WTxeeejIImcqK2rbcMRKHUoqeWd4IuOTETaSkOIdxBGDmwSMA Tc4sXdWU55sDB5Ry4YM2Z1p/QC1AEfBALoW2Ahw+dIdRTB69WPjmCPbXU9QLUBY4MGYhgYMF0xpj jjfJ6NwlmyBfmRhPAoJKgb5WXpl12mRwDxwktiDAQdk15qCqVri6tllOwSfkrcSA1myhoprxC653 +NybSWuJ9ovIeBuVYxiAZifoeVjvC6U0OBt7cWDu0FGjhxeYDpiN5s9T6gtUgQNDFgTgQP9z7r0H n374aKfggqwpKFguC57C4IReTXRBAgQ+EWGCE3bo4YcghuihhNoJRtdIB2BiAQHtBYXcgxo6aGJx 7rxBGh3klZcfftEVmAwCBOwGgAAEICCki9JpZNqMt8xHhjetDXmEAePItiOPXrkHJQoBjHMCWzFF 9E+SuFxFG40X9Kbbcf+0NoARADp3pY5MuohOK0a0t55FY8pjG55EWefYRoLyddlK1lHHBmENZCPn L4IKc9ZXyV0WFR1mloLlkkiNlCVDBs7ZJD4/PZkSqE1JKmo3mHmqKYKAuaTqqnu1GmpkRZR4Wqyy +vSYUpS9ZOuBo/aqC6fdISmsHwlFOlT/aDeZKtVHfR5F7K2LVMsmjNBM+t208gQrSaXifloTudvR ZyGytdZJX6/XfhtlgUPNK1FO9tK6U67lMssSuykBrAlI2uo7cKrxfmeXv8uiJLDBFeRo7sOnvkAP s746DLESCMQ5bMKSwCBLVb4mie3GMjzTo6vPuqDyvcsCyjLKM4xs7snfwsALxjETTHMShh7rLJpY tpzJpdBSjLIjP8Olor5jEfBb07AA0nQhEOM1NNV1IMDZxglUafDWXLthRju0BhBGfqkpXbYQTWxc xZVtvy2MDWjvqLYVO9Ztty8cOJqfCXk/5/ffiCeetIgYMcgtiYfiyTjZild+kpOWZ675gImjbe75 5+BOoOaRoJdOdbq7ItdvFpSb7jqrOIcc++u0k+RU7bjzqnvuvCshY6nZ9i58sTLPftzwyCerpPHS up087rkkbaOiqD9vvZUz257v9dyLETnD3YdfMfNPOi8+79GSfP76RZtPJ/vwcw6ytPHXD677j9qv /2hC4y+/qBEAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0207_image367.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjA4INHAwsAJYgU6MYIYzOJMQIJBBizLCsScTDAWEyMjlMXI9P//fzBL j1ECKsYNV8fD1MByQEIIyFJj42eQYvgPUswgALINyNoMxA1ATcYsQD1QNTwMvoklGSGVBakMDB8Y OICiv5ggOkAAqJBBlxFitgiTA9MlPhBLGMjaJwATUxGBiV0SBbn9N1PDP4juCYxgM5gYBEIyc1OL FfxSyxWC8nMT8xhWrHpfvhGIFQw+lksLpiVC7GEE22/EtYDJTAKkVa8Sxi8TB/EN4HwRIRDfsJIH yi/iBgWkAgyAgxUkfoUTZHKxXokeTCSNgwWqEqZ3GQsXsl4FmB0RLCA7dOD8VcxMYHUQPyr8J8+P TOAw/QD3qzqzkCjICCMFGJ9TAJn/g+E+P4SPJWyZQPYGV+Ym5ecwMETJcgV9+SiMM2wh9jLBw9hF DGSELdx//8BhqgvnSwiC+NpwvgcjRD0W/6O4Q5iXaypud6D735jljAiyPSxMM/mR+QzMzMwQPrr/ GUlMW6j+v8zsCba3CGrPOkYXMN9XASb/gw/ED4LylzCK8SOrX8DUwITKt2KA8LmgOYsLnPvAyYMB 4nYhsN3QMGtgZGJiCq4sLknNZUgEuZMBqEORoQusAZTSBL4IM6CHGTNYPwC14x9ARAQAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0207_image368.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhHgE3AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABQAW AS0AgwAAAAwKMAsJPQsKNwoISwcGWAkHUgYFXggHVQoIRwkITgcGWwsJQgAAZgMDYwUEYAT/EMhJ q7046827/2AoZk0znmiqrmzrvvBmAnNs33iu7/xV98CgcEi0/YrIpHI5PBZLzgmUSa1aNaYoUVu6 er9VqFbYtZTB6HSue7ZmzWO1fD5if98UPH3PB7W9ejQScX2FhYRKMzWKho2OeWmMg5OPlYeRlIuW m3SIiVI/npyjSKJPkFKkqp0tAQQFDnVimbMrBg4OBqtUAaZAvhoHB39XCA4BAQ8Fu0sJwDpizxjE VQINBBLOCcxIAQ7S0CJj1FQIDQISAw3LeVngNO6rAw8NCk7DU2HiJO879HmxKthpF43cQFIPBgBQ 56OfvmkOTxTMB6qdwIjkNq3DEpHJuI43/9r86QgSDL0DuhpumciyIEGXFi9OfNkSZohveR4I5DfT DDcJBUqkvKiR38qeE4IqBGCNXaoVJdEIMKfS0kep1yQQOIdKBbgFDbapaaAwmQRhE74NWAAArSEt vRoEQFPgATJlE4SR9MnhwIOAkRI8SHj2wARnBxS6DeMpis0WGUMYaOBAAYXFMUwB/plEkhtKfKJx IICNM5WoMFD/6qCAgekeSJ/eaaT6NdSugsDUts0bd25Bu73+7k3cxRFFFBlHLs7cj2+P8ZpLN14L UKDp2OvIvrI8u3cZ2z9/H78PNHfy6D+Emp2+PYmd593Ll7moexAnwefrN7K/f6Tq/gX4kAaABJ4G RAQAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0210.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•Since the Zn orbifold introduces the deficit angl= e on the

•circle defined by = ; , the minimal surface we want

•is extended in the = ; direction. = ;

•

•Therefore the holographic geometric entropy becom= es

•

• By subtracting the result for the pure AdS5 we get

•

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0210_image369.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wMrAxMgJYn2IZGQAMpj/AdlMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYGpgesQkCWGhs/gxTDf5BiBgEg/wCQdQyIFwCVHQMaxg1Vw8Pgm1iSEVJZkMrA EAC2+zdTwz+ICyeALGVgYWIQCMnMTS1W8EstVwjKz03MY1ix6n35RiBWMPhYPlUxbTYLUJ0uUDUH kDbiSmC8wQLSalDJCeXrMTADWcWZealYbGAC2RBcmZuUn8PAMEWRi+HLR2EcNjAygOgPSDYtYwYZ YZuJbi4jmrlPpbgm4TaXAWouI9zcb+AQr8zkgoYTFzgswQECDSUhsFqoHxoYmZiYgiuLS1JzGWaD zGUA6lBk6AJrABECX4QZ0P3ADNYPADpZ56MSAgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0210_image370.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSgAaAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABABC ABIAgwAAAAsKNwwKMAsJPQYFXgkITgkHUggHVQoISwcGWwcGWAsJQgoIRwMDYwUEYAAAZgT6EMg5 CaE46827p9Ynjl3RNAaprqLRBIJzsHQtCU8KIM9ggw9E5RGQBBxElqEnGTxmiYci8DAeGlbssuGb LB6J28MxaSRZhIdg8iAkfIK0xFwF0IVO8qSQk/B0PDNsD4SFhRmEFIVFAFSDjxKJQ4xplGcskpFj T2uKdQCZmThYADh6VHo0maAPC3RhkKyxDE9+fQAHQTZybBc7SLCymrF8BRKVpWOIhswZuV1OuZ08 saGffCmmxy8/VMY7RG0+A7BUSeZrOJcnA38LFow/LgIBKKABUcGGrIn7N1eFFDD4gWHLN4IUqPhC yPDDEiENI3JA0kmixQkKL2qIAAA7 ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0210_image371.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjB4wMLAxMQJYn2OYGQAMphFGRkYmBhkwLKsQMzJBGMxMTJCWYxM//// B7P0GCWgYtxwdTxMDEwPWISALDU2fgYphv8gxQwCQP4BIOsYEC9gYWA4BjSMG6qGh8E3sSQjpLIg lYEhAGz3b6aGfxAXTgBZysDCxCAQkpmbWqzgl1quEJSfm5jHsGLV+/KNQKxg8LH8qmTaE6ChDLpA 1RxA2ogrgVGIBaRVsxLGX8UE4uvA+UWMqHwTBhBfoxLdflCAgOwPrsxNys9hYJiiyMX45aMwDvsZ GUD0ByR3iDGDzC2E2zMFbE8JNntI8ifEHka4PUxg/xVVckFDlQsc8uDgg4apEFgtNEwbgBqYgiuL S1JzGZ6AzGUA6lBk6AJrABECX4QZ0P3EDNYPAL17OSlAAgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0210_image372.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhPgAbAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABAA1 ABIAgwAAAAwKMAsKNwsJPQcGWwgHVQoIRwoISwkITgkHUgYFXgsJQgcGWAMDYwAAZgUEYAT1EMhA pL04621Lc1WFCY3BnWhGHkDQFEYjXA+b3udqEQ2APJYEEEfUKEQSgkPySLQczuDHQZ0VNwiHyfJY AhKOwMGxCFLPw80ZQD010k/RwnFQBiQDhTiaWvo5Y2eCUQIgHxkKVn1eJwoOigCOig5TGAFwKIwn lBeFCheCGAd8mZobAyAXBQ4DoJSmiTimpw4IFgEODBiUSoq4AQZIHLMaqLYSCp8XuARjZXhnrTta oBpKWxZvLQzKF6gHuHwuD88WCg89FsTn6RYCXQ/HGGB3QjjtKPg3TVzygDYoDgC8cQAOCWwaEJQ7 obBIDEhJrkjcQOCOhAgAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0210_image373.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6WUz2sTQRTH38xs02SbtjG/WtMU46HGH2SpraIXISg2uZiD6a1QSN2IQmNqGgw5 GOLFg6B48SIIuShFsShYvGjpxQqCihTxL/BsU3JSNO6b2Vk2SypRAxveZ2bez/3ufHm/eR/4Lxmt K+BB69MMQYPNMOMPony3z3g8VFqUENMitN1uc0sjo+bagHXOS+tKMuo3rAOuYYhAGw+Dz+ANw8IH wycVw8c844VzufKl2epSHmAb3Mbqdyo88GcchAQRsYM0SS8oaAUM63O/XHvql2v7wlj7D1r/Jbzv Eh6Dgm/2ciG/HMvkK7HzxULuCqw8/lZ5bjyxyWblzfjFkMhDeP4ptUETY9jSIU3yXBhDHTR5i731 Ix8zeR2uBZFr1v51xb6/Sl71IR/VRH2x9r/VR/k8tq06W+RmBENMaZJXR+wcZ7dDxNZHnAU5H7d4 PWjvaweabnsfJXaH86TJNeIdsscvsY+D9v04O9Pfme+dqzNf2SXydZkDxTlkq4WF4iLAWEx90WoG dn1PYg7UnAOwJJ/DEU2yzufw0Kp7TbVzid1TxfkueumoYzOiPtq9Duf7aNAHoxgiYemmuAf5lMUT TLDIu/HzD/2v9d7/YTbO39OOJvmZp5PnBwU7+yX/pb8Gfb0XI5Ss/r6G7bzFbgSQU9Z+dhhZ1zwm ZwYYntdLeelxgn8pKV16JAE5qzsVQ/7yy+6c2LTyhCs/o0uFzHNFlHSpkIkOnlZyLvv5FjlL8IY4 nZaKG+EVpdJdJuxU1ErvilolJ3mdC2nJi3yiS2k5n4AP+Wq6y3ycinrZu6Jq5IPbnrdGakMir2re 2yq/2/kFBiK3n/uaaq4TSmm2ulzOFyCEecDw2A+3uANOztcKgLNnxv1/A5KONpSiBgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0210_image374.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhawE6AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABABh ATIAgwAAAAsKNwwKMAsJPQkITgcGWAoIRwgHVQoISwkHUgcGWwYFXgsJQgMDYwAAZgUEYAT/EMhJ q7046827/2AojmRpVkHTEJRzvnAsz3Rt33guFYZAPASBoaArGo/IpHJZdEkEh8YjwKxar9isdsvt ek2OMMD5LZvP6PTFFSar36VBoeFYwe83AWKO75sJDgkSCg4IfocnCwtiR21vjogZAw5EEoAskZki jE1samRumoMOVBILDQKiqh2cOk6hrGytTRNts1+Etg4PAAK7EwwNDKvEGrc3nrFjr69IzBKwXou6 gQAI1QYPC6nF3RbHJwEPhbVj5hfi5MvnoDXphuXl0V0FBwAPqQulAIv7B7zeAkKbZ2Icp3YXDDZj t3CGwnjy3gxQ0Atgr18TAMETOMJWLTGQ/5aAK8HAgIEG9gaus1DypD03IEeSNIkSmk12bxQMQyBI wrWelhxgQibzRMgYDREyKSqCwIAKsjI4bZFk6kdHz9IgAKhvQj8K47jZUDqDrNF4ZpUwDaFg6E0N ba3EVWXAgYGLEy+SmlAXqKu/SEPqsuLLgVgYc9/CdaskcSYGDhZIqOvg6bXIPh2kNEIQqYykENUO jqHAr4fSNNYCQB34QjYHFG8UkCwB8l1+dtsUeGoiQGwOnWG4UXB4DSSYb9NqUvD7A/MawSc8/2zh wLYA1ZJgtwhD3DDggPk22AcV5kG0oVdNB7He8+nmZytEqQW/SAJ1MAQ02GhMcVnFCKCyxv83VzGC lWp3wLZJffGxwiAJodhGnxJhyaAAbRuMlppHYDEIS3QcjdHAJiN+YKB556x0Sx0vgFTBAyUCgN2D N2CH4QvYuXUidFltAAh5H4UYAoJBguBJVq0c+Q2IGezIV3bWCJXJfbxFxOSQ5oA4iWlU8UjNlUuB qZKRoZg1EpEE+jeNLkAu82UZiyyZA5G+0LiSkBmKeacyXSomE5p9pniRRb5wd8gsgJK5SZlpivTl o5BGCqlxixoJ1aXpydkRprVpNsF9t5Ug6aikPtoCox2ZyqmigfpnlKpmAEokqmO6Wh6Ep1Kg0QQN 3Hjqm18gGh6rmZbpIp6ygklrMrbmuqn/TW4AwlsC44lCyGF6YrnJjUctm60fyZqYppKCYpAoTsxi J0iAbR5CZaapmavBlqbE6aax8Mb6a7nm6olgNE7yq2mqtUpwH0rFaQHKsRlgt9GHsnybb2fXlKII eOC2Gt2FInBchcd49kkrBu1hauBYGixg54ADSezMra1aUHIHMyNRc4goxkyBfvx1qZyo1FhwUsIZ 6hwsy81KR9FRcK2cw3NMC/Sh0ROkEKrPDf13AQNTbEK1bASNxiynwRVASL4VmN2kDmb/bEYB84ht q9sTCPBgTC73d4EC7cZybgmUUbpv3GhbcnbSutKYNwcEHC6wGYHDfNXchW+x+BYCTNOo/8nyIg4A AXBXbgkRDD8uA+h0d5G5sEgDLHrIR/DNOsvmJbkBA4C8jvuYwNaAe+pcyI5c5yly6DnsRhBgyOx6 E28B3CZNUjj0BvA2tQ3US3+8FsrvyWTYyGMRQCW2e0B4k2HwQncbALk+VvrFqzF+rcoiHX4VlXhv XNQhANK1mz7aRSncVwP/DfBvScjfeZbEv/txIQFVKp/9HOiuCLrtchTEAazihsEMhiloj0OgB50x svQcRIQj5MzwVnWnBqaQhJIr1tdeqLCcxWyFNAzT/qLGrA7mkEcM5GH8foiHZPiQiFkwIhKLCK0l rqIZR3SiBpsoRU1AsYppwCEWM/a6LQpWQTBePNQC8RQBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0210_image375.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjA4wLuAhYETxCoMZwQxmE2YgASDDFiWFYg5mWAsJkZGKIuR6f///2CW HqMEVIwbro6HaQHLAV4hIEuNjZ9BiuE/SDGDAMg2IGsVEDfwMjB4sQD1QNXwMPgmlmSEVBakMjB8 YOAAiv5igugAAaBCBl1GiNkiTAlMczlBLGEgi58X5M7fTA3/IConMILVMzEIhGTmphYr+KWWKwTl 5ybmMaxY9b58IxArGHws71VNWw4xkxFslxHXASZLXpBWvUoI/zPzdk4Q3wTKv8JwmAvEr6uE2Kfw nzz7mMB++QC31525lgdkhGYljM8C5pvC+eu4QXwNKF+C0QEsb4ThDkYS/Q1xBxPUHcEss8H2+FVy gvkiTM6szECWY0pwKkSFAjMXK0iFewoHVIUrIyjCnTxg8uJgN7h7oMcII0Uh9Jm5kAtiLoR/hLEc 7NIiD1jMGbOA+MFwvgMDhI8lpphA7giuzE3Kz2FgkFbguv/lozCRIaTC9Atsr7YHlhSHYm6MFNct 3Oai++8AUz8HyAhduPvD2UF8WziflxkijyVc0f3zgHj/HGFsBYdrEjxcd4JTfIEHFzRPcoHzLTiB M0DsFgLrhfq5gZGJiSm4srgkNZdhOcgeBqAORYYusAZQyhD4IsyA7mdmsH4A/JCOM34EAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0210_image376.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhsgA8AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABQCp ADIAgwAAAAsKNwwKMAsJPQkITgcGWAoIRwgHVQkHUgcGWwoISwYFXgsJQgMDYwAAZgUEYAT/EMhJ q7046827/1/QNATlgGiqrmzrUoUhEA8hGMXm7G/v/0DQSSI4NB4BzRCwDDqf0KhSSq1afc2rdvsb FBoOUifLLZtRBAdCknAodOe4vDNw5CTpUmZInvvjbUkSCw0Cezs8f4pUbYg7D0QOkBIMDQxMfH2L m1ALjohrAApqAAYPC4YSJ6ucrVIFBwAPhguCgw62B5OYrr1UAwkAArvCkhRpb4m+y04JlwqhEqPR AHlMV44TiJiaUFnKPN1PCpO1FJ62sg6G4kF82vBayvHvWgYOBsXAkbgT96F92qlYUu+aPIPxEGph 4GCBhHsOBkjb4VCUg1gKTTjJpoojNoTb/xJeKVARAMN8tyDakagKg8ALHJsUJAgkpomQBVv+CWDM w6d5SmTOmymyxdChLYlmjIPATYqXGivIpFfUqIWpSXUahFrlwbqnKMgQjBkOKAux2sr+vGb2DM+S Qp5yldKW2aa5dOn+rGsXJl5vf/t6u/pjb1u0cgwLVcy4sWPCUs0gdmdYsEvIaVkNjnxTs2W9WBPy dRFSq9bRn10s8NQRKLgomVzTTO0z89IJqzkEfrL78+yqcVufGdu7l1DOA6NKVk57D+bbtYF/lP6n QLdPOgNSH1N6eHdOEP1KTaTddHPBAjxNRl4e+nlfCXh+c366e/H3XAgkmz+GPn67AdyB1EkH7f3H zB28AIedgQYiwFKC5jHHIH6VRdjRhBimhZyE4KCWISeyPWfafR9ycdiCGv1W4opZucfihO+Q+OIy Mc7IYmg2ZlgaXhEAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0211.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•In terms of the dimensionless temperature = ; ,

•we finally obtain the result

• &#= 13;

•

•Since the Hagedorn transition occurs at = ; ,

•the geometric entropy suddenly jumps from zero to

•

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0211_image377.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC5VRsUoDQRCdnVuDOQMeiWCQFGdjpwR78QpbLZLUQgInCp4REji2kautrK1SRgUh PyAWwUpb01rZaiCVgufs7JriiKALs7zZe/Pe29vR08Ml8EqkLyGv0WBfaOBsC9qgwl/nqPL4g1AI iwSmacpoQ5Tt2cKUV0BfJrJIaC23CCuQajJ41N8T0hVIgBeHZiynALvN7mFDnYbEgXk6/UAzoReR YV0Y7SUM8BU1KhGqSp3zE5Mvw7zghBLBaxxFYcffC2O/1o6aJ9C/fosHVH51HN+UD4ZGU7DXpvvo VBw9WVMz9FDr1VXUah8DXC27z5Nx6Rc95KzvU91bkWPdljJ9DwMwfdYH/pnb+KD1uYMd9jmbpZvN P/p7/h72+Y9uKde+lMuvyXHBeBWZa70SgYh11emGEQy1LtDEKpzzgN68SQmyd3B4/htInAcTlAIA AA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0211_image378.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhOwA2AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABAAz AC0AgwAAAAsKNwwKMAsJPQkITgcGWAoIRwgHVQkHUgcGWwoISwYFXgsJQgMDYwAAZgUEYAT/EMhJ q714htYIdVkojoUhEA8hGMXovhMoCUfzBHCu73zv+4NCw9H5/QgOhCThUBh5A0dLgvQ8dUycZNEQ XHMCx2PCaDC+OUUSYHgsvGjYwqEFHMZxVxhPbeZHakoTVX8ic3UADw5whRdhdBMGa40Yag4LEmoH I0FDRUZzkg5SAyNIgkxOPgFiOlFTAIQ+CH45WRNcjDyKuiN7ZGY/rJhpa21vlCGHE3cXo8/QX7+D tckVgRSyPdDc3TIAyxO8Ft6jV491koLWFJbEmuwWoc8FpfEUrHz3F7Sq+xfj/lkYFs+bwA8fvglU CIDhPYcOC1aIWJDbQQkKKUqMcREjwo4MCzUmg3gwWgxzEiIAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0211_image379.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6WVXUhUQRTHz525u/djd9svC7EeJpAwWqUMI4VCaMkeTCOF3pYUtg/abSUl2Zft EtHDPkhUUPTcg4QUQQQRhET0EAgFQbCPPpgPgQpikug2X3eamwahFwbO78w5Z/4z586932Y+PgH+ eGnPBYdZyR6DGfghBjBhH58N0eEg30KGIS0D1et1brUZjdIXUXFR5LleOkWtA+E4NEGdBUOC8jS1 JunoTgO0uDRHxkTh7NDYlcHySB5gBNnU+wuJDPaYdLQaonYD2kB3QsxKU6vX8X2puO/7nBS+a/hY VPj68eWoX5MEahqy5gUaIWJr5vNocL2a+VrOzUBDTPh8i/kW5XrEJlIXsc9Yvi9r+75ml53pGvI2 hIJ7BteBIDF4tZgfJX35cXK+VBy6DpPPFsZf0kEOL43farrUIfQgYHtodz27LcWO+mDG59k4K9Ui ecqphRi3q/lBk3GrYuBMMhHJ3bwykY+IKqAMr9ouOYdRjPERxY2uzlWzEmZ8nIhdkvr2dol5ZxbV br9aE0lW4qhcZzZccnRds+EHYZ2x8SWl87SxNxnkR3aQX8h8oftifbvdEbqx1P0Kv03odf90nXoR qztQLg6XCgCP97jO8lL6P8/Ds2/wusPE56cRnaecN7bOE9ZpziOSP5jluM4FtBrX46tm1tK5gO6G RPwW+9jB+Xj2+12sQr/S2cvX6VPrnrN0zuFmvuLApvfL2NH79Q6v8Qo9ZIvbGejT/Sa39u8+bd7f JL8vh6T+3c6nKOOfkkt2kCOu4FXJZUvwisqv8PP4rvKDHHEFz6t8wXPqPanw+9qquAszPiH5lElS up51FOTOkGBfnyXnV1T+bUfXs46C3BkSPK/yBc+p/v6I6fro9yain18O3zSD8ycD+nO4CxhniSv/ KS7/7/BrDKK3Kd4b2VvPQAgNlEfH8kXoYH0EmrEfqjyB/gIhsZyGv98ZzPN/A99aR34+BwAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0211_image380.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh+wCIAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABgDz AH0AgwAAAAsKNwwKMAsJPQcGWAsJQgoIRwYFXgcGWwoISwkITgkHUggHVQAAZgUEYAMDYwT/EMhJ q7046827/2AojmSJNaiprmzrvnBcNRMt33iu73zd/8CgUGgbGncBQuHIxBQIgU2xSXUZHFEeasvt er/gsBgMCBwMmWl1bTI8gGo2xoG22OLy/EaAhes1AQ9ZNVx/hhsICUF4hwAKCI07WyWTGQMORGyV Gg4DkThFjFI+GASKi2uhGwkEn5IqoqKgf7ISta4rt6MXBZCoercIS7gyuhqiCgqZQgMEDw0PyhS6 ycQxjJu2m7LCyy2XDQ7SFwoNCxIIDacAxgO+1i13J2pT8hcHgz/GHQLnAgzmLgxo0EpCOWn2AB2A F6+QHXYzCGWbNmQfh3OELqQbdOCBAHYO/3cx5JCuCyYPNOpZtOiC5YdwFgTAlFDgwTARLl0d+IKx Q0KWOXPJkNlzQoKAVw58JBG0EQEGABx8xBfiZ9WKMhR4tLBzEIOTI5pGcgeAD05bpF5ijfFg3QSZ YB2pYzqyQ7cERX1SdCmWbgwGBSscLXrQb90MCU5SBVEP4tVfLwwsvNcgn4MGS88exmCgARqZZNX6 4OutRYB3V96iGNQ5L+PNvBpM7tzAE0o7pCGzCNSl51HZEo5CpdShjisCkwEU8IwypOPHflxc7nJz J22CtonvwZymUl/Yad+yelOs7HgcAWa2vBgQ97QU4IVWOLDz+wkA9OHLWDD3xa3L5EUkYP98sMxz Qyj2zcGdfxsYwABAxoWHFoEFXqDffWFlJEN6ya3HiQDpxaUhhfEYeIxhF7oiS2jpZDcgTmTAhk0t OakEjywMDNPZcBYmSOCMIr02Ii6imDXBZZnF4SNuX8wwxpNQjkFRjz02eduQEnnhZJRcOvdiBdVM UNiEUzIW42ZAnqiZNjdmEKAEMgWo5HspkXile2pCB1KbFzhoAYQgNZZWinZiWIFMCxoqZFkoZPbD UW6JxlUYC92RjX5LEqNkF2lkGOhEOxgwkKcwZDqSqe99ycSbkjKoDaqRwArRhbKGUECkd7pKpjXN PBPNmgcKSkWYenq4axUL+MojmO2lg2v/kMUIy8ROHbbqH6hNpINGZ+9MMFBgY1p7jSoyFipFKKwC sNEEHTmqlw7w1dqDvHo4C8BAETIKVk03iTvusaeau8FOCTCQT3BIOaAUqaAkdBi9f1y28HyVTfAV w8ECzBDEeSDAgADtUgAXBeU8C220GsdQEhcimsAxGwB9tFxgAAxGcgPj+PsvvfX1ZqzAeCJKQVcU IAlsw8/d8FRUUx0sH9AWPFNDgIiy1l6xGUNMlpG6Qn0zVEeN89tkwhmWQwoQ3+Xa016TfJk4Q3u2 BQEuhrDY2YTKkJgEd5tWbdsZhOgCAnVnrENnn9XW7Qq9AN4BfyaPQCzeOiw3GwqFmzC5/+MKumtC 45LIi9wEy+W7QjecBw5c10iXm3oQpoQOmwE0v87DJbaP0EnuQCCQM++rLA58DoE4PXwFAfRxPA9u LJ8BHc73cIXxwydvevToKYH9E9Rj7/334Icv/vjkl2/++einr/767Lfv/vvwxy9BEv3mwb38kUwf iRnX44/3Lc0LS95wAD3/aUFCh1IedF5WPANGBwOJYNsOHuFAfViiZRjbwe4qKEB6XEoDsasQEFjB QUrQQ1UoxNq8SpihE5KCEaDTzssmgDoWqsVGrxrg5iywsi2AhVNB2KEN1USuD9SQMl5Y2xBCM8R3 FdEDfavA0qSCn+4NwQxNvNIT36WBrf9hsAkzFF9jcqMBtQEjixwY49EssLcqnpEWA7STGlU4AcQx iompoAUC5YinRVnAchKgTeaYEMY1UgiIKTvZBEZHE+bkoZAvgWRdJNmBXkHjd3vckPDu5YxLPgQd nsMeJTdQDozY65O58FIZHFA/uZiyP2lxgxWHN0pLEERMOLNQKl8kgLZY4Fu4/N0UErAV8NUSghXj WzFTqLMiIOBv6komfraiSgdscnnHjIl6+KUoZmbSMenB5MhoYhMOlGOWucumYBI2MV12E5Xu5E/h bJaUUP7yahU5kxHUGTevfDFp3gSogHZCGX/yowHXBAa2SpWHcRoElsyUhUSxpK+bRS7/VSqaSJek lMmNWilLiKSAzYLZzTDAE5WEGulDMUmlI5iUkHkg2pESFdE8wZNQMpWA0dLIT03IoWp1xGdNO9VS dNAUqIEUahqgebyejg1hyzppmUoaB3mKFAVka0BUbfnK/r2up9aZ2yC/eYuQUiA9bgkrCuj2gaNk 4QAOSFc62SA4P94AAe+o6wgOsDi52i4olvzVCiBHxxf08hSEHYEbHJWAizIEHHDTGSmbBVES7FSy LwgEGi4LggIo0BGt3Ew/ygIQJboTBMBcqQo4ZMihIIC1I3it14oSR6mSRJohWwsacfJP22rAodzc 525FQBTMXoCeCrPnCocLAq0o17cZnsjpxVzKXBD40riHUo9cHHu26noAMHZDp1HwGa4gYNG7DWJq Gcc6KcvQFAgxRO8FTlPH3pKMpRdAKgBacwQhyrcMz+CCaSsQXw08tWZaZcIR/ztT6mCXb3JbK3sP yGAYhBAQ2qUC7SoMA9xtILFr2CCHB4ffmT43CAlI6IhJ0EAMwLYKyRPvikEQQFcUcMaR+ewfrIfj DWnPEPcTWAQAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0211_image381.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBQYH3AzMgJYl2IYGQAMpilGYEEgwxYlhWIOZlgLCZGRiiLken///9g lh6jBFSMG66Oh+kBswKrEJClxsbPIMXwH6SYQQDIPwBk7QDiBywMDDOYgXqgangYfBNLMkIqC1KB ahg4gKK/mCA6QAComEGXEWK2CBMD0zMmEEsYyDrFAnLnb6aGfxCVExjB6pkYBEIyc1OLFfxSyxWC 8nMT8xhWrHpfvhGIFQw+lkuqpolBzGQE22XE1cNcxwzSalwJ4ecxMoD5RpXo5gNFmUDmB1fmJuXn MDBcleRSOvFEGIf5TGC3f4Dbk8e4DmxuAdSeBCYHBhA/qRKLP1DsaZfkksJtDyPUHiYGmLkrwHFl W8kFDWEucCyAg4cBYpcQWC3UrgZGJiam4MriktRcBjGQuQxAHYoMXWANoIh98kyYAd1PzGD9ACGF NsxMAgAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0211_image382.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhQwAyAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABgA7 ACgAgwAAAAsJPQwKMAsKNwkITgkHUggHVQcGWwYFXgcGWAoISwsJQgoIRwUEYAAAZgMDYwT/EMhJ q70YhOYayWAohkIBCIZjjmybrZLjuHRtddYh77jtSwJVBcHbwX41wkNASRgADSZigEQ+FJfA4dSo /gwJzGEBUBy9LQYCo+gCpmjaYCthuAEMB+Pk0MZZAw9FKwsOa3gyAX8jHEVkAAmHAIV7IQEJgg8f i1UEQgA6WJw+AQ5hEp6bozU6VBIIS6s1QXcLD4+yLgpCdghMuTRErgAGdxRFPMC0FJ6iwCO7R6lI yNXWOxPCFBy/x9a5QQ7DeWfPGbuGErtP5iNEeTIJiu0iAz30LgUOzvgs3P0t7ElqN4CIA3YAQQwQ lYJOQjbeHo4IMlBiFiK4LFooJcOhxgtqHUx9zFBoxkgMMk5eCIJw5IMDigQgqPhRX0d+FyIAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0211_image383.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6VTPUhCURQ+9zwrffpItCEsyCiiBiXaEoKGwpYcsmjtB6Uof0BB7pLNQSCNTW79 DEJLc1NTbUJT0Ra0lOCU0Ouee5+PNB2qC/fyffee853z3Xffw/3tKcjxbGw4mItQaZ2BANoLEwsM y9MeMV3YRMiYhRiapilRmA1ae247zoMbjmfDJ9BEbz8EwKRg8Ap+I9CFmGVD6DpEjhXjgeXN/M4q zyZER+AUux+oMmiIQAgxpT2A83jsJOQXaMigPht4+KkiS0zGI3hXd1OJXDCWKARXMqnNNJxfvhWu xAxO1wr6WLKqNJmsNaOXcdGg1DBX/E57dRGftXiFnTmJz/Bm/HYP8SmbPyHxSa76CZp/6wel13e7 L2RJz/e6yA50xdt9i12kOnGe2srsA5wE9Md6zd/Vt6qD0PR7LXW3bL9r0n/W9pfW1HmHuv/wV2Ej blKI2XXGpWL8xz2yX37XVn+g7TlIYYk3eUMqRnmH99Nyj8WAHul+j+1+yljsI4mQ7SfaS3zO5hEg vsB16+Xr8u+QzwRULz6pZfVyyBAxznP5RAqqVBdExigcyQRavHU/tHvWZP4X7AFzQuQDAAA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0211_image384.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhswA5AHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAQABgCp ADAAgwAAAAsJPQwKMAsKNwkITgkHUggHVQcGWwYFXgcGWAoISwsJQgoIRwAAZgUEYAMDYwT/EMhJ q7046827/1wjgpXYkGiqrmwLnBJMyrJr33i+1Smv/8DgrOUTGo/HIkiJbDYDjoaDoFKaSteYc8sF CApeQwM8fGFGlBqM2W27yDH2xYQumdMTutzNJzosB3pSHydqe32INgJjFQiCjB5reYmURgQPAhQJ BgAOmQgDZTSVpD8PChcBB15/opOlsC4GCRgHCwAKcJF4h7G+GAwIGAqtoGVavb/KEgOrEgytAAwN DF4Nqku8y9sbAw96ZAsNwtIiAYQWdSvVQM2pCd8PVBwHmU5RercACeQA4uwh6OBpscjenCy9BjjQ R4EApECoNjB4EIobnwKQsKRRl0HAKQsB/xrQkuBw3gYFmCy6ifJgTjoPB/pRCFQRAIKUHRw4U7mF gQExAF8N7NbA5IRF0RY8YMjBYU2eSDwNGJQu2QSM5yooYAQNgcEOIXVBFYINQKCsL0E4uuCopoFo HRbtzPPI6tgKBvRN43QmGUdrcB1GjGT3LgkBcKMY9NHr71ZdJZcU3viIct3LmDNr1mOBgNHIWuzQ LaSxUYOniuMU+vuCcV3DKFpSWCT7zlAaPAJ9XXR6wjRdo+bIhI3DpwWgrdXQFXr1GoWt4yRs5Rva doWwxHMg2H5Z2Jos1TFMHWyTmokEaFWzxtU7+43tREYD2jkVrsvwFBDMdU9JuQWPEWFE3r591vmG E3+V+GeBN9WklkFwFSzgwFOwBQBPA/IkIlBHB0w1HBar+dDhMgMkIAJ1nT3UwIAIZucRLd58CEBI IwEAWov8iWHPNEZJQNMEN32FI3HfHEWVkUktNSSC6nD0mDQOeLUkglEwxFFbE7w1JX9beVLOXEg1 tOKW7l0ikkNBPTnBjWS6F5NpqDUgZJuGGXCgNe2VIxadUAkAzX7sRcceinxCJUICQQFp3qHpFdpi fY7yKWCkdDpI6ZQeChEBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0212.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

•Below we compare the geometric entr= opy from gravity

•with that of the free Yang-Mills= 3;

•

•As is clear from the above plots, t= he geometric entropy

•jumps at the transition temperature.

• = ; We can regard it as an order parameter.

SUGRA result

Free Yang-Mills result

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0212_image385.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC+19aXAb2XlgAz0aWLAVbHylsjs2muIhiQfQ3UDj0EHwvkSKlEjxEEVRIAACEHER ACVqIA05GTvxJlX2aMZj73gTJ5nE8WQq8Y6P8cR27GCOnd3aqt2t+bPJVjlrrlPe8tpbMdfe2dBe AtjvHd1oHByTtCRCMw3V0/fe63d83/e+9x14j42//Y9vfI7Bn03mj5gBnDs8pWMOMwz7tccZxsD8 XwOqa4PU9LCJGWNGxscudvWOjXPdo8OjF3p6+7gz8EwH6TSFFp7nmV1/3gPpF/pi+SE0m+5ezogI 2taXzqdjDgHU69BoKGfR/Sb8/wik/6cvFEjLJ9FD3UN6HTMQiFwPpMM+L2P8T+u/9QHm+Rd+cuPL kDj+f994pX7xH8iYetr//ZhG2n9dp9frx2+m0oEow6C2DGNkmpjfRc+YAnze98QHKE4shpswDsLo ffp1fZZFuffq13MM8zDmTxOjBw4U8wyTw/lG6PePusaRccS3sWTAG12IBLjZ8fhiOrDEXbdb+Lkj RmsiMZ/yXg9w+D9/YJGzpkLxGwlvMMBlbqMKaJOaTwYWAktxzuHg/GFfGrdTKhcCwXAMjQRP5hfi q/OrAseToZSqm7SqpJnIifaKhiInOGhlyueNBObTocA8erySDHCL3kgqII+TmPdFwomSuu4uLgP/ 8LObXGDVF6LDQ3lVKdPOoXRZixv+YsXtI8ZUOp5IBPxcLJ6Wx0TzpZMrhFG3uTD6jwwoT4zoAGJV A6Oa1YoaoLO8TbHmNlcxeyUvquJxr3eMrmTH6O/hDpV1AJL2h3TvpRj8C6jOskj2Sf0RVK8j0v4Q 7Cq6SEeMGY6sOZGEaBz2apyji8xzyUg4hip4jgoCrThipE1igaCqGV73WAB2RTqE2Q3LU7EeaE5l bUuhwHn9/tKlLoVKgyNGTl7r1Yo2qZUFTr171BsOPfOHr5eNcbMCkZIxoKzeeOVj4GdLq8X51XjR eaMrEdJPIW7pZnEyNRJ0ElUH4LZ6BuiYTnpjqYg3HVDmkofAEHh8m8vwHPmXDPjSaGXQggSQDgjE /EeMyFYhafi+acPUWDc23tbpjy8E2mwWngPp7EMZY2NjV3wl5g/Hgl3x1ZN4MKSJQPHAo4HwhUCq 9DmSXPgUM6LNbRGdgsspcYLktgi41tho2e0HpukGhZyOJ09y/ecucv2heCqd8iXDiTTn5B3c8UAi dSMZTgdOyC3D8VgP8OUkJ/K8y8o7rLydE1wnef4kL0KbnrhvJRqIpaGN9yTXHQl4Y86ucBqeDHtj wRXQ5sOB64EIdIeq3pi/Ox5FzVOIFUh9jyXjkXjQ2MhNhMIpzhdP3EyGg7AvvIlEJBxIcbAJoH/y ZjoETAGNn74RCMS4UADk3hvzc7APODwuGeckDNStjHG8+wTC2sZ5k+n4oi/uD3DDw92tXFcgFvaF va1cd6eF4zojEQ63T8HCpgLJ6wG/RcYOFiS+kvQB9Ylk3JcKpLn+8XmZRfPiPD8PKyAYrdVqORdP bdZKgpgqo3UM+DEefjTAiYBT0nsTCaMVhkVWLwX1GU5p4Y3EvX4uEU9wNi4c8wfAiixjPW20F8vA ggxuQ9Nt1QBoWk4wSlybwAFzIlxiJQ3yZi8po0axFSjAYBls0EDOUeUNxGJZwDPEQAQDyHAFfLeN eFIZcX/getgXID3IE04oUl6kWcmgiUv6ogHl0cg4ZJgqzEBNEt6kN5oCvmQwWohuWLoECKuRDnI7 vHiboF4GuAXgHeK60VqXkfO35Yy1PoMnQnV11nNWH2zGdDoe9SaXuHqjNdmfsWVsCv9ESUJa6zaZ GlGUDC74QAyT0Lk/Qx+j+iAsNdSdBQ3Sf7sOBnJgHheHSkK1NSnR2pJKG65M4n43EJOQabgR9oNB qLcOyRU+bwJheE0uX4uHY/B8BJWjIJVgUABAjR/V+L0p1DuM8oug9VDXqJXaqnprxErNT73VZ036 VpKkHpyXzDmQ3DBQBZk2kaJJGlM2IDTH4CnPBdOqRrIdRAsDLUKZBNi2eCqADBtQOZAZU5eN1shq RrGC8DxyE4p4sYt117E+dnB0Bh9U3cyIWIWgAnA5kLEXEaA+DvAyQh2yyE1sbaGIp7ySkTcaqlXl 0cNFQHAxHInAJIvNkA/EaSmVGeBS6WR8KQCFcXgiF4zWZWsQ+7b11vPWIKgWULqokFzMIIcSdzda ZzDlRSsPo8yQCcpqkzOo2wzqc+tMBm0FTIRdlhaBahQvmcd3fZWzVVbhPgKlDZlOvJ/RmGQvAfZI z4Li99PsrTPocQuWwvTNRMAa80YDKAMqA9hNRnJiN6LNBtsrnQqFF9Oc/ASsLl3zDitIUhJ0P5CO +NCQaeE6uFvoUVdGXjgyaUY1P9rdxe1vryDJKO8XeR/K6hC5qWjwwdXMrIBNrcAJgiIQmFy00nJm DmVQh9YM9nBx/eAqF46CQol6U0uwCIOLRElWf5gpqcVz+5Q60s/GYQWhNOjLWLvjkZVoDNm+orKx EX4SVK0X4jdSeEbrWdAY1q6I17c0mBIwhe3tEHx0D05M9HlXewLYxgF/YcMDQn3TmdOnrWAcRxe7 InHfEsWhD008nbF2jncPDrqk8l4d05kObhoyTaKyvhTiZeyDx03i6dN9qG13pmMaSlzfNHrWMI3W dBotqrXJnpENlV3ubW3ow4veZIfuuFVDN+nRZIchiDAMdmcUFShQE4rNJydkrIOIcRNIDAdjgG4i jnw2KyHBinyQcWyvjaThiBdkaNUK/khqLJAE1yMRj4EAWgcCyN5bp5AWvZ1Rgp/FeNIbiRipmOKJ wbMrruZjQDmSTC6DTQ4Wa9QA1cVjEWzNiZcj+w2gMpFlR1oAW1mlgez2NCITdxJJpuIQIZsXSK8k jFWdCupIKMOS//BmENxOFbeMvAWk3kJ9YTqrMjbRTEjWjGeNil+7aDzPLRsFJ89J4GryyDMVHcjf Nc4YbRbwOW8AABeUGzGK3BD0FOwOt8XmgnUSHRZRgjHaBOStOsC0uVAHkiXPcFayOESatVtszsos nscooB5tTouk1AqiOkue48FEC3JxeDwubBmlC8rRZpwRN8IYocYqfASLy6nOkh4YCSi7EO5Qizrh Okxtm4jxNVYZQZSUEQSKGkbSjvsRLOkYghqJUnwo+ag7jCNzTSFTQHSiBSL8wGTB/6ihA5NmJ/1J gTxvkxAzjbSZhAmgzSS5GX4i0AEQ7RKmwk5XDqNGm9kxW+gAdjcajc5jx6MZbWi6Njtmms2BR7Mj esaNsxhxaDOHvpkxCpKIO7psmEcgegJm0DiWRRoh4RCJCiJCQy2JZ42igCYTbDzGDXUgA4hOzL3i A4E+sJEpqzxw4UzlAzvaC5W1bgmxpnJmhLqdbAlBcBBpsslzYuIxKXYbLKbgltB2czg4q2PI2NBt FBs6L3SdPXXirL3eFhi+ONgN2rvvqtN9PiQcdc3Gmi9aL1xpGmoKJhMTQd9ce7OrPtZyaUxajl4a TJ1p6ao7MbgwLp0JnfeMtRsn+bmpZteifcLd6Eg91m5sBXbZITDBswog7nbOKkyiWe0rvtPWxZ6Z o5bpMy24pYQiPcHt4Ox2ziEBdqMYu46ZlrMNjlnrUsBX7+y4MjuUbLky6mkTUs3egLScmuqNhIIz E+PLK562tv5J8diKuz8cW4gFLx0/PdSKB971wkpEGisZ7+CxSFV54BAt1TpAyFxdFJxOW6koqJfQ yaN9UmUN1bG+aj2dAuWsY4hDnHZKLsrpSSg7XSLlpxPzU+xG/GztOdfaPBC45OgPTfYNXei+2hWa DE7MjYWCk00TM42+Fq8nEp+4cKxn8prfFXJGI2Oh6NWLC23e5cmji8dOrnR2nK7vnOzubPLUGRti raPDe2OxS3RXl3iXqxof3UQZVHngdlRfKoGXhNK1UnPY7cLr9TZ7xO1ylfBU4G0OFVMF3kF5jriK 9tAM4qoAO6TONsBP9izNn2q61HK+sdkWablUP+VPnha8AwuXh1zJpcHj7tmm6eGjCylpyh7zD0pX HC3dHdMz14bFS9Gha4ne4Ig0edkYtM41Jo5FwysTU6kJ59W98VcQeGdVicQ0VxVJQRR2UE+CWC6t yhNb+TqquYysODYcCp/dRK7VjIZGjlJO2wS7mtM2m4vIryQS+R1BnG451zw9GF0U5yf6R5eudSfH rCcmx1wDly5fae8NLc+lp85MDcxOTXmDo0c75oPnzg12zZ2x9AuD3Z1jJ5eD/Qv8wPmeESFxsX2k xRg6U29L7pG/tqpyKth3ElTBvqOkSuWSqjxx8NUtDGauRKX2bZkr2e2lzJXcopq5DsFRNAXAXOcg Ym7bWEP7oC0gXrsY84cvLDQONl1q8qc8Ha7gSWGpdTnW29JGxXj2VMPx43Vj0gWn78SZs0uhpmPz Fse548cvJpeGeubSI9PG5dTo2aa9amDBsaOUOneUUqdzBysquGx81WrX29hRwUXaKfy1EzRL+esS hVL+uhxq3Su4ZHYj4QU1IU5hYyZ6Qokm93Df4mi35+oJcTk9ZJ2ON45PXGkfDPelmluGukLptGUx GZs6no5cHZ/tPd5zsSPm9bTWXZHE3vRS6HQ43dIzOR/0GENCZGCq8dwxvulsi+tUT2/Y3rtHXrvt O5g7AWnXqpIp8lJ1gycK/A4WT1TktBq3Rd5NNoHCbVuFSoY2pTpZhDhAxWzwx5zU0jk4B3gYfA+x dEFP7EqHdXY6dCbi6r7S0VaXCJ1eOhEEqxadv+JJL3aGziwFvecX644eX16cPjoYifS3dSVGLgdn k+cG9shMp3rHiig+cSHvklIpEssMMmMXydfwNjt3hZsBnx5iXUSSzS1anCAzNicOaiRU4FFIIrrB 5xYtdrA4FuTTW6DnmNFtQTxxWwQ3J4oW3smJTguPHWlgAORh+/uMbeB3ou9feZsFfKsElC0OGM1t cbrRyA4XDjMcAgDo4ZBLPtoQ4QnBDCyMhL7QuIJGgBZ2WEOLhFpLFjesOBkH52FMB3QH8jD1FlgX hwWoFi0C2i4WNzxEnHFwbkDXDQPCpgbU2nhMiGSB3QJhEyAPrewoagFcESWSRXChViA3IeNi8159 dQnvd5F6/CpXH+bG39SIPF4NOwfLI0ko4rHasHNs9fd0XEzMUVcW1kaEMKsb7XBACOkAvNuhF+Sd g1zrnqMInqgiBTVaLVWtFqu3FklIVV5t43F1OdnoBEgh3CZQwkVYPht1I+G506YiE8mlQicU8Dbc I6G26jja+erV1VtL1VtLEt5t5YTa3WpCRUqoZFcTKok2zjFKCZVEFaGosJ8VlWOFMhwdUtVqZ/XW zuqtXXxVQp12oQqhTrddRSgYySKhEIUUCUWF/ayoC4f45Si6+aq1VdsKPF+9Grcup9INJrWSSoG3 q8kUeJFSg+jEJYVQXNrXJpWNWzmiglS9XtyhvbhDe9lsVMg12u1IPUnkuwyEtwsZWVDWItXQolRq ScB0I+/FDoOBJgM74oBGY0bRYoMCqG1Q8SCNyLxg24JzPiDdjeyN3QKiBHoWzJXL4sLfagnIILiR HQG2gNnFir7NbgEMYCiSk7U6DGC3IC8e9LWD5sFbBUONjILgIN+KIQkGn9VB7BroXEAEGR1sINwW HmwAcAhQBWMj2uWCiL8PwuOIFhFk2CK50Vc7EjKDINw4C4RIFhv6YhCsIsLfjWwXGBabDc8mqmwJ GCdsAwFBEX3lhRmFTJzFib/2ExFtiB12i9tNzRLJ+2gjnpZ5i2xVgR6EIzRGihdbW2IxbQjlNrB2 LpJFNpZ8k4e/URPsxIQCT75Ob3l42XmWPrFh5iLS2zDyPDbgaE2w6W8DhmC7a7eI2H7yDsQj3o2/ epRkVoBAuJEtBXa6UScBswYWGH27Z5Fsch4vDZ6MjCfQVcOrzhMvgUespuxxYksNw6Ev6gA4JHlA WoKW2F3hKQMIP7H0wFA2zAwslRKSFEIi9HSiLFRAQxHLBxbfog+Avn8GdwmpAFAOEtcBLp+x1drb dGzokrtOuNwVnZw55bkw2NloHRadTaJLPNXR19Xlt880X2lL1F3sW+A7JxvbB1MNrtbpFoEf6ItP DqykHIm6npTVdqXXOBps7venbN1dK9GhyPiFnhXpaMeVjvq64bPp0GhzT6y+qyUxa7k82j+8NH15 OiQ2jCzPDqx0RDuTR6PzvouehrPNPTNHm/xXAyeNDl5I1DVfXRj14pAIHETYJDz4DE7QmJxV6MOx 7UjYc0Joj16tr3e2Li82zkjt55cmhma980s+wXLmWHNyOOVqSJyes/X0dM7OXwo6h0+csvUJw+NX T1nG+3uapxrGmhYnJlPdUePx46IjeiaxNLzYcar9dMtwhzTeUR/jO6TWqaFjQ02S7cJyz7mFC3b/ ZORiXbSvc+VsrHlBTAyebXH4ogHfUMfMyMjoxHR0bGzEOJeanOs9mmzyO8eilkT7qYEzPdghEp2w UBJIswR+no2z2vuI390W5BMzU1euJi6HluIpodMRiJ1omjwTil61xJovDoViy8HZjt5LHaHzMyGp 62hTwtm17BhM9iQue9JNi1eDU+6B0WunTh9zG+tDS92R4944ns4XCaCbFfjECp2DoKQcTMgHnvKl PnrWMZH0hiOBJJSKOVSfOskJxrV/Ru8Pfoj5AIOvRKmHOmIsuXd4v2+FPnSfb4UewjfNHtbp6XPX IR1DbsHde8r1JZg8TO+CPsSEADayIjOsD+SH9WFIUUjx/Ig+CSkFaQXSjfw5/aOQMpBu5Uf1j+XH 9E9A+hikj+fP638nf0H/u/kJ/R2anspf1H8a0mfyU/rfz8/q/wyny/ovQno+P6d/IT+v/zd5n/5l SH+Fk1//jXxA/9f5oD6bX9L/+3xK/7f539L/NP+0/n2F5/T1ha/o3YVX9WOFN/X+wvf1Nws/1X+y oGf/uPB+9qXCUfbfFQT2vxY87I8K95uTD1FOPoyfN7J6xq//ClDzQr5Yfg7Kz6rKd6D8L1Xlx6G8 qionoBxSla9CeUpVHoVyv6rsgbJDVbZAuUlV/iiUP6QqH4HyIVU5l/Pr/0/u3nNOt4MMyphMMW/l ppgf33dMKtcwCphEmZ/UAE8+Bph87AAwqeTJ5wCTz9UET14ETF6sCZ68AZi8sQeJPcTs9XMI30pm 8d8QMEy36Q3mE5DvYkT89J8zH2QO5/+SOQ55EdejuXQ7jlaQ//iAKWQxYAtbxFwV8hiaXiENzOtr 6wh6mLUNBNcYzyaBZtyhoEDTNoVoAF0BRiqH6wius2hGtgh1hY0yuIlgVoYMwqwaXNtGcKMI86XQ k0fzyXCT8RRKobkEbgEEBFXQVAK3CVwrQoMCgRCYpBxiAmHwEmhSIDBgHfEbCFZBTLgK6ihkgBC8 IjJc2yQQlgOvGCwDhiYKDds6vCDstg4vkC5PIFNg8QICGzbICuPh0YyKbP0284+/gmyppEyTLU22 FNm6H7oRyaasG3+N+XX89GHwsT+Sz2L5/XVcvzvdiGg05DFb8bqYqyQTTgwWRBbJwpaMA9lD+8VB /uwXh/vB62aVHepkWqmueD/oiv+A6WzF9bvjtQkyWyrIrCkPZN2xRSWJSJiuDDIK3KoO17arQ48M 89WhWYaFUmhS4HpVaFBgtipkFbhRAnUK3COha/sk1PwrElqEWTV0eQj0FAg0FyhhnjJCGRMliEnI MkX2zn5lSv5oMqXJFJKpg49T/h6ig7+viTjlZ4DJz2oidjuseyt3WFcLPDEDJmZdLfDEAZg4dAcd RT6i06JIzdO/N1Hk7mVLiyI12aq9KNKqO/gocvc4PHhRpJXqig+ArnBjOq17iCLXqKcvQ/ATC9vE T8TQRKEBYB4LFIG6Ah1BhmsUogGQ7H0UsgiaoC/SRoZ1hkUQ/tMhGdWBwGJZhVmvIngLe54M8xjF 0EOhOUv9U+qnGqifym4VV4qQRCHRbQBpRw/taKYdTbSjiXY0UI+bLchwnXrG2RLIyJ6y7PqvbZa5 /FtlLv4uYxsMXRQ+wmBdh/iHIfAPM9y0zpCFANWBILtpIJAunE4O2QBu0gXZoAuyQT3/dWIM6C4r bKvIKI0i9ydT8keTKU2mNpn7H0VWxinDEB0M10ScsgCYLNRE7LYKmKzWBE8+BZh8qiZ48gXA5AsH HkX+nhZFap7+PYoif0+LIjXZeoCjyM/XQBT5+XdUFFlqh9Qe//OKx79rO0RPN3T0lMFA/UUTcfSB zmyBHmZgBx4gdsHNeeKCm7eJCw4Qu+Agsew2OZPQ5amDTx1bXUGG1CWvgNkd4EZVqNsBlh8IGSg0 KXsjS/dKlrJinTQnUOZMgSpND4Wscl5EHX3zVvWIoSJCkCMDjwxpR/P2DrDawZKBQnadRAa6LIVE N6J3z5IVu8US6KERgJlCE11ZA40A5BVnZEnA05faof3JVjGc1GRLk63i9Acft3wLooVv1UTc8iZg 8mZNxHI/BEx+WBM8yQMm+ZrgyQf1b+U+qD/oqPIXWlSpef73KKr8hRZVarL1AEeVv6Y/+Khy9zg8 eGeTdqorPgS64jcwnfY9nE1W3s7T7QjLb+XtcEtvbYdbeiXHKuicCnUoh+jcCnmuVWGenGeVwCzZ suwG1UWb9DriFr1+eIsS2E6hmRJqIroJn8sgyG4QqNukhG5Rwm5R2E6hmRJmWifQkCWQ3SCE6jYp oVsU3qKwnXryZgpNf0ig4Xs0tPiJfMBTYEpc8jW6mT0UmivuX5bes9SVh05rG2UnamXXESF2Kz2b 3J9MFT+aTGkytVkDZ5PNEB0062shTukATDr0tRC7TQEmUzXBkyhgEq0JnjwBmDxx4FHkNb0WRWqe /r2JIncvW1oUqclW7UWRt2sgirz9Do4i1britxVdseso0vP250cm5fxoXTk/2iAQ+4vgvRq2VOdH IKlYRA30/AjdPCyUXReUz4vKrw3uCDeqw12eK1WeI2V3c45kJhwyUU6Z6XlSkTEEGujxjHwsw1JG spTB9DSniBU9FGI2y+BqGXRReLoMflS+pVlEqARRgwqu0+uK5TBLry8WYWkUuT+ZUj6aTGkyBfDg 45RnITp4tibilBcBkxdrInZ7AzB5oyZ48l3A5Ls1wZOfAiY/PfAo8u+0KFLz9O9RFPl3WhSpydYD HEX+uAaiyB/r37k3XNXnRm8p50a7t0P0eEc+rTBQj9W0QXSDOUt0gSdLLsmtrWNdANBARHednNNQ 0Zd1AYYbGOoUuFmiC5iddMFaCdyo0AmeErhZAvHe36Z7vwpEex4TVA5BweA/egOIleFagShHT+Hx AoGEMeaKCOA/b6rjCYMSZ8gvVtkqgYzyp2TlL0opexGKoeI8r+x8zlN2adGk7Pls6YGe3NBUfk3S Uzw3Ih++zA7tT7ZUV1w12dJkS5Gtg49bDrNv5Q6ztRC3mAETM1sLsZwEmEg1wZOzgMnZmuDJAmCy wB50VNnPalGl5vnfm6hy97KlRZWabNVeVHmJPfiocvc4PAhRZZPKDnUwFqor0Ps2g5hOC67f5dt3 sqUX1SpeK1L2ehGDDKk3ycp/uFb2B2w7Hhp5stVvxpVPaCibkN1hwopTqrUdJjTvcBWvfEK2bELd ThOulU3o2WFCk3pCnvrZLjrhI3TCR+grX0x0IhMMlqdOeYGeCilwnZwGKTBL31yzUYT4DTabKrjD K3GaVHZnv7KkxJCaLL2rZeng45J+5q1cEiKC+/9bRHJccn9/k0jmgPzbRGjUIEN+m0hgvs1+N/c0 pCfZ/5l7iv1R7tPsD3KfZb+f+xy7kfs8+73cc5A+y74n/1n2cP4zrDH/DPteSO/Lf5o9kn8a0h1I T0L6FE6m/PM4Hcl/EdIXIP0pTX8CfVB6DvqTZIR0GNJ7oN4A6VD+SzDXi5C+DOmrkL4GOLzE/vfc 1wGfl9l/gPSD3F+x/wPSDyH9KPdNiOkQ/vdbpg5V+V2bHxW8zO5/m+hXseznVF6UkXFSvD7M/K+C Hr9J24nrd2fZ0aZE307dLXhO5V3tFzfl8spdxu0g33n43wqPMNo7D7X3093Ndx7uRaYU70uTKU2m Djja/1nBeuC/2LIXHB7km8jfK7gZ7Saydmv0bt5E3otMaTeRNZk6yJvIDymxbzFS+y+FOUi1EDO+ Cpi8WqgFnnwJMPlSTfDkWcDk2Zrgycchov/4gUb0n6jhiP4T7/KI/lEtoteir7sc0T+qRfSaTD2A Ef0nayCi/+Q7LKLf6R7Zo6roS7tHpt31uZv3yPYiW9o9Mk22fpV7ZPcyhlyGGHK5JmLIOcBkribi 6kHAZLAmeCIBJlJN8KQOIvy6A43wG2o4wm94V0b4xV8m/zCNxrRfuycwWxVqv0y+l1+734tMyR9N pjSZ2suv3d+LCL+5BiL85nfJmf2HtTN77Xz1Lp/Zf1g7s9dk6gE+sz8CMeORmogZf56fg1QLPPkB YPKDfC3w5E3A5M2a4Mm3815IBxnR/02+diP6veD2Tozov5zXInot+rq7Ef1eZEqL6DWZqpWI/o38 wUf0e8HhQT6z/0peO7PXzlXvzZn9XmRLO7PXZKtWz+z/HGLIP6+JGPIZwOSZmoirHwdMHq8JnkQB k2hN8GQGIvyZA43wZ2s4wp99l0T4O3la52g0pnlamjW8257WXmRL87Q02aq1t+wt1EDEv5B/d5zh n8trZ/jaeevdPcPfi0xpZ/iaTNXaGX4vxJC9NRFDCoCJUBNx9UcAk4/UBE8OAyaHa4Inb+W8zFs1 8k6/Kebg3hN56D6/J/KQ8n7K4nsiP6Qj74n8BHOMeSN3Aqd/m2tmXsephaZW5jVIrwOnXs9ZaLJC EqCtDZId+jkgOSG5IZ2B1An1PdCvn3klN8h8JzfEfBPSy5C+CuUXof4vc73MC7ku5ovQ/k9zp5k/ yZ1insudZP4YxvgjSH+YczGfp+kPIP0+pH8N6VlI/wqefxbSZ6D9M9Dv0zDG07l2SB5InZC6IfVA fS+kPmjTD20HoN8A9B+EcQZhzCGYZxjSKHMHIElnmadwGoL+g5AGcHoK+j8FYz0FY94BnO/AHHdy HcyTMN+TMO+TgP8dwOcO4PYU8OIp4MnTwJtngEefyfEwLw/zWmFeK8xrAdosQKcV6LUC3Vagn2f+ LCcyz0O/F6D/X8A4XwLaXoRxvwzjfxXm+RrM93WY92VI34D0TUjfgvRtqP8OpL+BNllo+wrw4lXo 9xr0fw1weh3W5XUY83UY+zXA6TXA6VWY7xWYNwt4fAfW9duQ/hrW+FuQvgnpG5BehvQSyMNLOSQb 98Pb/ihb9LbnGT9+2gQ+0UuwQsgz8uP63X7rUzTq8meN2lD6wa+63So9tlc3IF94baqGhuBY/qNs 6iKYih3wn3uzxSnxYb+uWPbQ1+huKNhkcXlTGb6krCMjr6nKjLrMEv9hTaaAfvPgkcsmgmllWf6t mIrylqpa6VhZzsvob5FhdyxvlpQpYfJft++3LPt3un2WZU95D+WNXZa3yuqrltliPeUXYRAtGxSR qyxv76Ks3gil5TV5IfZZ9qg21m7K5pK99svLpoL8Gofq5fLNXF5mK8ubJV8zKOUso14A8tYLheHF srzV2Y3qZQ9lkFw2yyFDWVl+H4asKuSyoawshx6G4obfUJeVHbFVWpZfl6HswC2mZIebtxSOkm+6 toscVF+lkbeKUqYIrG0XRQK/ADxfXHKs4fKMegK2WMYUGoplPKBZJVdI+agVNtbAW2vqNQOmmEuE Jo/euKGS8ix+tTm1HSSq3q/teDvx0myHZjs026HZDs12vPNsx305tdEXY5tLzAh+2sCYmY/nzmP7 NILrdxvbsKoNulYUVvnlXwo/sor5YJWXYhWKy4RGIb/hSW7kGuTvUDeUK730pzs3lFu+Olm3ZpXr u/RnP7dU+e1fmqdrT8cs5lk5v6HYJTy9bAzQlPL2WdtCy5yXvwk3yHlTAakUuuUKrxUUfbamMtsG VZ5VWWuz/IsnshnPqvoWV0IeUqfqqlM116nWQqfyBXQqodWpfAidSmfp1PpQrYvVLseaKm9WuyKq PLtdes6mfB5T9TCrZjarNN+amoDNNVnlwsrI370jKTAVFB2Vle+1o/MGtugcrCv73IPyBSUvf2nP oMHX6KCV+Q0l7ynJbyq+kHnH/JaSN1XJo/F+Wd4MeYOS31TyppL8FuQ3KU+KeRbnZeu9reQRQ+Q8 UoqmgjJxMQ+MMxeUCbIexcgUtoqSq3ZDPSozZigU10teeKKDiI+8Xx2kNpKaDtJ0kKaDNB20Fx10 P3yto6pbGx7GjZ/+JvMboOfiWM+5GfL20t2907f0mLkIN8quAW0oq6OGJgVulUCDArerQtkVLoc6 5e2gFXBdfQ6ugtkSQopwowQWCdosg1vqGF8J6mVoUvSdDH9C4T9Rgv6JhCqFn2VL4c+pQv/5pg5f VdvaNOCradtbJvxtyPYtM756tv0YuXKWx2EiQBz+FWHBRCGWN5ZCWMAnKHycwnXUH2nHNfLtSxaN izQ++WsxQ5a+cfaqboPKELGV+5UhpuTbGk2G3m0yRM5dGeXkmZT1yvnvw1gXNjHooJbFvf4/EWzj s34DAQA= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0212_image386.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh1wCQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQDX AIwAgAAAAAAAAAL/hI+pAcHelJy02ouz3rz7XzFR84DmiabqylKPCLXyTNe26+SvON7+DwxeciRd gidMKpcyIsngjDGn1GrGWIQhrdyuFwsNe8dkqm5bTquT57X7/WvD53STFDyS1vd8KDKK1idYB6g1 eNh3BojISKf1x6PXOPl2F0iJOWaZyakGIdkZKjpKWmoKpIh3utpCZATKGnsS83ope9uxY5iLYqvh e9UrPDsc4pSbmqy8zNzs/AwdLT1N3YwDuwGM+3uoyrtdzOf9DY47zqFdLnqenT4BSX6MUXKA/d5T PxQGz/1HXrSAHTcP9Pxkw4cwhJh8wfDJuweD4cBI6BCiSUWMoMOK//76dQx2J6GLJxLnkRSp0B0L lQhetDxoT9/FfvUeQkQJsqRJPSxBxEzpkqNBmiVYFtU58mjBnSFhLrXRU53UBVOrarRaUV1Uq1s5 /cQKFmfYsV2nlsV0VqvUr2Orpi33ds7FiG31laK7se7ahZbi6nWEJSjfvwrvRgjk15wpWoeR6k1M CfJisGzdvlRLuKRkQZtJdUb0ed1luKE7fQRXOlRqcZlHm20tcTUc2ZkoaqWNlitsx9tw5xa7yndu 4WkqYyXuaTdv1TOB1zUO2h9e5c4nbaGHPLJXMPAeUa/eSPryzNmDMB78ffzk9AvNlbcOl716z/Lb y3r/+xZ+7e7r2/8P7t98pgX433oE7scGgvmdomBtrDS4oGEEukbfhBSuA2GEoll4IWfXTcdhhh/w 1OGEIv5zkk0H7iFHQrZxWCIhBZ7oVTcRFURjjarBKEGOs/ioIXw89jjgkEQ6aCRVtQGpI39JHoHk k1A6KWWMrFU5ZXhM7hgelkeC5uWXg2xZ4ZhkbjhmmPes8RCIagpoRj5uvllgFyHNSSd4NbTYwyd+ nFlmGTfCiWWGrsSW50gyJrqmXIAyuCijYrrx6INySVoYpZhm6kmlsfjo6X1sbmqXoKSWqkmo+pl6 KqpcqNqbJq2a9MWstL4Ka6yoYJMrakLw06uucbyop620XVdTsEkJKqvmoU/ZykQBADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0212_image387.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlh4ACQAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAADf AI8AgAAAAAAAAAL/hI9pwe18nJq02ouz3rz7D1bPGCxSiKbqyrYu1QCQPJ/vjef6vj0R5OMJh8Ti hfSrkWbGpvPpWiaTI6j1itXETFNubJsNi7EnJhhYoqXH7DYxSC0twe66PQpXo7+2u/8Pkgc4SJgj WIiYiNKnx6T4CLmmRjUJaalolokgedn5J1HmyOlJ6iZlksZYuvq5pcoKW5c5GlvL5upoqyt2uuvL S/cr7DFHO3yswydnjNzcopzqLI2jtMaMca21kq2twp3xjb0NnstRfI6err7O3u7+Dh9fvhkcOJ0Q rvtKfL/ZX+ntn0BULPINtLWPXwhJ88T96CCHnrmI/szJ6GKxIkRK/woSbvxAMcJGTgajaQS3AF9G gx0vihypEl+VgMRCuuxh8yY2kylx9vxJrmc9C0Ak+uSGhOZHhktP7qQRM6ioiVBfdrOm0yHTNyCz srT5FahYoiGHihBbUmfOI2qNsKzI02Kqt9HMijDZkGjKt0Kt9tjr9qDgcQL5Do7az/Bhv4sbo3QM Wa2ZgYqdlf1ZeVXmY0Wj5o0srErctqAHr725mVRqznunFi6d8d/qg7Mv1X6NG/Zj2bq78e7tUPbt xLSBs6VsXC/y5DCKM58wPFJ0hMqXg16L1XnkzhqnP/KuGa1R65TLiGf8GzLFZVtpgy+Ft73251lz 03+PiT56+8zxY//yr09jAFK32IC1GIgIgqwoSAiD8Kn3nIODSNgJhYBYeMco2TmGoSmk7SdYh7eA hZiApmFGkoh2qOhEEDyReF2ILkUkH4eHveiUjb2x6AePPermY4Y7AjkkbEEKWdqRKxppnJJjOLnk dv1JmRyUZERInEgbVikNiVtyiQx3F33ZZDNxiWLljwj5gONk+qX5zIxyjgUma2N++OaJ+tF5D5wX yrgniJYFKqiZhBZq56H1Daoon4k26ic1jeb46KSRRjFpiaqVQyakBzLVqaewMHRZpppWCNdDplIq XaqOiqqalniu+mokfl1qCa4L0dpSaLz26ouutv0i7LC7FGssgb9RQhfgss0d6OxZsSAb66jRVvfg tc82iGao2i6aYXbefusnLeOS28ZM9ZH6LbYrmotou1BiRQe10CbbrruJ2Ktsfvnutu+/viUo8MAN FmxwEQUAADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0212_image388.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhJAAVAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAi ABIAgQAAAAAAAJkAMwECAwJEhI+pGOv/QoMUBjGrZgInCYbiOHbecZnqyrZmlrryfMb0vTY2zmN7 f5MAe7ohbvIz5lCkpjOW2VRSUSnlUrVastqIowAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0217.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Covariant Proposal &nbs= p; [07’ Hubeny-Rangamani-T]

The area of= the extremal surface gives the &= #13;

holographic EE. =

⑤ Entanglement Entropy in Time-Depen= dent Systems

In the time-dependent backgrounds, we need to deal

with real Lorentzian spacetimes. But still we can calculate

the holographic entanglem= ent entropy.

cf. Bousso bound

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0217_image389.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6VSPUsDQRCdncuHtwYSYwIiFieCH4VBxVa4gJjKKCaNXU44VPCMJAHvqkstFhKw Eez8E3YpxC6dIHb+AIsUNip47uzepQiCqAtz997uzJuZnX3s3V+BXDVuxkAntLzNCGjXTHxgSp7G hekYIWQsRAyDIJCowCbCvdGBXwrNWI1nBZpNpGESAnKGjOBdgW6FGRzgTRMxoU8KNq3WQdU7sQH6 MCJ231FF0IoJW2RKO4eAuxqhcYE6OtX5ge1P5XnBpD9Cpnro2E2jbJ8aO3XHOoaNPPO3hBnPmg+w FGoymWuF1/BBp9CCF/GO5EbIz7VcnNpbLSnuiKui84UB308Qny/pIW9qlKHYsC1VoRH8rUKU//6g 0hctnSSJcmNYl/2yc6WLoCrusbukGAjYbstSmbo4IzWL7vAds3914LC87MBzo7s2gXjF/WaWSHkq nrNXPwLfFBtPOr/8qaNIdw5JYs3l4Svj8iXKAYDKlZW+Ya42Q8SK12zZDu1xmIYz6UyTX3/Nws0Y 84d70mT8F/lY6ixQAwAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0217_image390.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhsABIAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACu AEgAhAAAAFEKH0YKG1oJIWgIJW8IJ2EJI3oHKnQIKH8HK4gGLpEEMJUDMY0FL5kAM4QGLf///wEC AwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwX/ICSOZGmeaKqubOu+ cCzPdG3feK7vfO//wKBwSCwaj8ikcslsOp+9gIKoCECPhOmysBgQDQzCtdhwCJSHBrKBGAsDDsch SVgkBQyDG5gYOBhIeGJ0gHs+UwoOg0UJhUoMCYY8BWIEDg8mAgUPDhAHlyMGZQ6RJKJxCwUmpEwJ nZI6aiIMZiULC3EIAg+yBA1nAwx2IgYOqhAIiiQFyiiavCQNpTeWi7A1A9OubasOXiMDw8QO3Lgk DloinN8ncXFWs683fpjXNg/wEHDi5/IiCdYgOBjWQJaIOCTMqRAQR48IAQZvOIhoLwbEEmUc9rPl rqM/Eb4QjhCpIhE3CALm/+QgWTFGMo9x6m08xw4FFwV+/LFEsW1EgjMrP7Z0QfFgrZkjj6FQwOAb y50nkpUacBIH1KErCEwj4Uqp0RIMqpZwtYhlGRbJtKRbyQ8riyon/LTd+UDmw2FP/a3Lig5ZzXmg 3LYYUHREGWs76cETkKBUXhLVVvhpKpaaMcEsgj0AaiJRHhHMvJX41JEBUE6RssVJOXJr3DiuXwj9 N1sGY1oL2oBJ8jJXiZzuEnkscQoSZwiJckPgBPefoxQTa9ReENs2gwbfXq7FnIOB1xOFjb5yJ7AT +RIETOPYOyKZSu46wBwfjUKkTp0nFgSkAfUy/B2+zAcadCOdY6AJDbwnkf9oNP3HQ3oONcIYgeWV gB8J4Xx3z0AWOhiFFg2EpcJ5BsrzUXM6BEBLeB4qYWKBAh0U4xu0MJAPfzDB1CILJNpnXm1R1Hjj jkTeoOIfRSaJw5HVKenkKiZY8lwROVZp5ZVYZqnlllzqCIMf7QDJY5ZP7sFMOyyW6eQnCkLAzH4H qrmjcAnAw0yTX8k5VEEpNOXmKA3AWaCYeo7B5w7mFapohzMuuuh4jj7a0X+c2CTcRAdYQeiOL3KX kwlg9AHOAbRs6uGFmI2Cnp8mHCnneSRidcBLGDZzgiWRcheAGiwtsB2UuQqGXYUg2RrsjgWoRBIn Qx77nwDikESLs0QqUJaDiUB6Sa0hBqxF0lUjWGLstm6oN5I8GY1oKrlJJCAWSZ/gSSy7blwZCUNH hUlvSywlw2J/9627bw87uWIXUnHKOLCLQiHAAAOZhuJKW3kqvDAS4BbAlDvSaNRhpxfDB2mjIWM2 ssAl1ztoytzdx7LJjL48VKwoy2zzzTjnrPPOPPfMbggAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0217_image391.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhsAGvAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAACu Aa0AgQAAAIAAgLvm5gECAwL/RI6py+0Po5y02ouz3rz7D4YdQJbmiabqyrbuC8fyTNf2jef6zvc+ fvgJh8Si8YhMKpdMWLAJjUqn1Kr1Cgxgt9yu9wsOP8PksvmMTqPG6rb7DY/z2PK6/Y5X0/P8vv+v tAc4SFho6CJ4qLjImJfYCBkpSfY4aXmJ2VSZydnpqbP5KTpKmhJaiprKeara6srI+io76xdLe4sL Z5vL20up5RssrAc8bHzstYu8zCyk3AwdbfMsXW3NQn2tvZ297S3d/S2+HD5uLlx+rp6bvu4u2/4u nxo/by9af6+fmb/vL9nvn8BFAQcaJFTwoMI+CRc6tNPwocQ3ESdaRFPxokYx/8U2elSU8aNIKyFH moxS8qTKQB1XuoyT8qXMHzFn2gTV8qZOMDV3+ozR86dQbDmHGkVZ9KhSlkubakrqNCpNqFKr4rSK dWrWrTuCcp3p9evLsGJXki178izakWrXfmzrdiPcuBfn0p1o9+7DvHoX8u178C/ggYIH/ytseB/i xPcWM57n+PG7yJLXUa587jLmcZo3f+vsmRvV0EpBk7Zm+jS40aqFpm7d7DVscqxn65Rt2xju3Ohq 85a5+3ev4MLZ+S6ukjhyWsqXwzvuXGTz6K2mU6cH/bpG69pJce+OLzt4id/Hdypvnp/49ArRs7fk /j3A9fIFxq/f6D5+gvT3697T758hAAaIUH8EyjPggX8kqCBDBjaoDoMQ4iHhhBA9aKE4FWYIE4Yc ivZhex6GiNqIJK52ImEmphjbiizS9qI/G8ZYxow0cnRjYy7mGIyNPHbh449bBCnkFUQWWcWRSE6h 5JJIOZnZjlA+NyVnUlZZ3ZVYYrelN012ecSXYBYh5phDlGmmVmmiuGY0aLbZlZZwqjdni3Uy8+ad 08ip53x9HpPnnzIEKqgTfBbKH6I9HqqogIw2WiCkvBAqqSmPVlrLpZjyQemmJXTqqQEijEpqqaae imqqqq7KaqsVFAAAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0218.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Example: Vaidya-AdS spacetimes (we assume 3 dim.)

When m(v) is constant, this is the same as BTZ black hole.

The null ener= gy condition requires

This backgrou= nd describes a process of black hole

formation via= a collapse of radiating star.

<= /p:recolorinfo>

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0218_image392.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBjBIEHdgYuAEsQy9GUEM5l2MDAxMDDJgWVYg5mSCsZgYGaEsRqb///+D WXqMElAxbrg6HiYHpgRxISBLjY2fQYrhP0gxgwCQfwDI2g7ECuIMDN+BhnFD1fAw+CaWZIRUFqQy MASA7f7N1PAP4sIJIEsZWJgYBEIyc1OLFfxSyxWC8nMT8xg6Vr4vnwjECgYfy4Ul05RZgOp0gao5 gLQR1wLGO2IgrXqVMP48PhDfCM5X4gI5WVMTxn/FAZLXgPPnsUD4EPco/CfPPYwMIPoD3F1fGILB 7jLShPF9RVD5a3lQ+U9ZUfmrGSF89HBiJDGcIO5ihIfXBRFQeKRUwPgThEEmFlVwQvkp/CAdKWUp RTAVWuBITymD8fM4QTrK4PwL7CB+LpyvAfZJEZxvxQDWX4wlxplAPgmuzE3Kz2FgsJDkYj7xRIjI EF7AWCYEMkK7GMZv4UXl72ED8XXh/GPMqPxZTCC+bTEXNH1ygdMwOOKhqVMIbBfUrQ2MTExMwZXF Jam5DMogdzEAdSgydEE0AMGTZ0IM6KHODJYBAI9L6iKKAwAA ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0218_image393.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhswEpAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAYACACm ARoAgwAAAAsJPQwKMAsKNwoISwgHVQYFXgcGWwkITgsJQgoIRwkHUgcGWAAAZgUEYAMDYwT/EMhJ q70t3827/2CVNWFpnmiqUuPqvnD8tvJG1xYp6Xgf8jyfcBgDEo/Io3G4TAaT0Cd0Ss1Vr9iTVLjl BAgFg0Cb/QwOqm6ZcjYdBpf36Rsek9cbulilt+NtIX0oahYIIw53fxYEDgEphHiMjiUJDwoWlZch hhmIiUIJBhkGCJuHKpwNnopWIKmrJZAXhgufrAALBiuyWbkqpBfAJbSDRAsjI7qmtSvEtyImzia8 FQcNkz/PEwqwtrfcKwIPCRbi5CHW2NlDAQ0IYwLHDQXo1y7p2hPUE/jTjw/+8onTVCwfgIEuFAC0 oDDWwlhHCpybYOihhwYW/xkEsE9fxg8d/yckmAdxx7MCH9dx1IYSxgN6Fl6CGAlT5b59NVnwoumC J4yQF/WF8GnTRIEGBEEie0by0VKmOVUcvTD1w9GkSm+AnKHMw1UXX3/iQEYt7I+nXhioGvDgCcoG taJuJID0ggAFucYMcNB1ih5yA0ShAXAG7gS6WCUIIMCAAQVrzCgoqFthcmIAAdQ6YKtjcePHhme4 GEDZQua1bRUzdswv9ITTm1MfxLtnb9+gIO7mJcw3BWzOihUwsDTh6OATx0oJUHscgDVyauXGIksd 6Aa16vSNAjAZY5UEDjIA7O6dc4Pj2DFoFSWlHWsK7i0kP8h8x3oNopt1mzB/+Xn7+EnAHv8F/dXH 0XbdpQQICMlwJx4KBf534IPm3QaCWYYQoJMEpF2WT3gcJDdALQ+UcsUxDOwVwEgMCNAIixOAmEcG EwFggIUc4djAbRg2oKEE7TRQ441irfAAHBb0+CNmNFJApARK8ufOiACUWBIIIpJoYglRHpZBAAfU aAJd7wFgiB8AhPdjA2hudCAHomSGhygEKIOYHIhp14EoWwJQwGUBbuhlmWc66Q4FfxaZwgJLUkAm BYVOwCeimjxKEZuSXlPmlR/EuWkJlkoQaYw7IpnCAxkZ0M1I9qxRHXWClqOKdFq8ipZ6CyApygKT iBLrBcccl0Bzv+o5AaoVqFpBsCIRe5b/rYF2EACtyDrZDbMSDHtsqqsIMOuz0G7grQO0glCtpPvR Ve4HdEXGpLsSHKPgRtFus6OYV0z2wI/j/khamfVCKuFebRorAg/twueaqAM7UPAjKVB5QcKvLWxm w3ZQDKRrkxmAr0oedPwxCBq/y9COK8RpaHYSWLMug9AGnIKvF6j16RUGAkDXKmbZSEg7yozDgSoY rKJyptkBLYHQRaTQaLKtChj1xkFPdLTU2Ni8Swha/zL11YoNZ519jnqnGA/ezptPejE1YGoZbVld mmwTsH1BkDZ6yOSn8ZHt5Ud4G6B3QWMWYrDOZitMguC/0mVRW297swHkuwThuAUGFDay/1IiGdJi KZNhk7ib9iY2Eo5VtNNt4qfHUzoHpO0Ib2U+nrxkgAl4LkCfsRswuwshPb3ce7jrzvso8BbfwOcA nA78TChX3vnyux8ghgEaEqOAsx6opaECA9Aix1F7ZEh6DnId8zQWx0Sm8VEFyKHPuhm8XFUF9wPg PXfhwyW/di8jHAjYQx2C7A984otc/SxwwP4tQA7qe94HIriCBiZwBDAZiQN8UYIb7YV6zTsPkmqB gLZ47HxJ+kh4IoeFFWbKVEdpEf7U1pQOkOsCN5zAB2U4kv/Nzwf7ICBZLLLDMfSQhTVkQ3h4KEIJ uHBrH3iiCooYwvEtbFcneBIKX7CvLVeeoIsrUEjBxOjFMprxjKSrxMPQSAE1rsABl4EjG+dIxzpS QQF7sGNl8pjF3/lOj4AMpCDDyDRBKmRzd3PA+gKgyEE68pGQvEAbHDlJdLDQOZeMpCa9GAEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0218_image394.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC51SPUjDQBR+99LWJilYooOUDtGC6GDRTi6Cg4OLDrY4SluMKJi22NISpy5CEQe7 iZOrs4uDQydx0U1cMxRXdVUx3rvkglQd9OAd33f3fr737h5ur09BLFd3FaYSSq4z4EDpMr5BWtxG uakoETIWIIae5wmUZWPBmR76JdBVXN3gaDI2DCnwyBmSnPc4uuR2pgOcKDwm8EnASqmxXXBqFveB OD99RT+CVoTbDPNzjyJgUSE0wtF7RJ4tReUZqqT9DdsffvQxEzkQkoUd26qbq1bLXKvapQp0zp9a XW7m7EvrPr2V8eswUT+nFXFZp9CsI3lHIz4b8AqrxYlPh3x+iPhUwI+UfYV4Lry/E3zO+UEfkr68 Y5eru3x+Ke3gpm/8og/FPJ6/6CyrlOIi1JlF4gvf6rA/zsGvgyD7qcboiTebsp8r0W8z5BtRcW9L /8UI3e/ZUtcEEC/Yvi7T+5+uwf572AcUOrTgN2nix4lnB7+WIXyDWbcZIuadesOyIUN5gUeMw6EI oK3/aMDgDBQR/wk/oZ0SOAMAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0218_image395.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhzwBBAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABgDF ADYAgwAAAAsJPQwKMAsKNwoISwgHVQYFXgcGWwcGWAkITgsJQgoIRwkHUgMDYwAAZgUEYAT/EMhJ q7046817DkRhCF42HN0xlGzrvnAnEEgTY4mjPzdAPIGOorHoGY/Il8GgS1JyjBvD0DIknNistpk9 OIKwBa8laCi06HSMi3XYYOWia/FW2+8adlLhKMQKdS4NfniFhgB6SAUOci99fw6HknaJMAEIDg8D D5EAAyEjPpxyAUyNBIwWAgsIYxIGCBULqZO1bZ1SDgQAAkwoAw0NDlQEA7MoCgHHE5hgFDo6zkwV AQ6xtthHlS2LjQy6EzkECSs5BQIkOdcAnBjV4BOuE8PZ9TfbJajrAJgkr7pnADAhENDUPFwWmBAC sOBKBXz2IuZBKCgQgAauBGRyiIiWRoQQ/7+heHUBosSTDymyQBVlwqyWDN24HOZP3zOV4RyMLBAw JcqfE2MwccbuCzMHHDEtNDhhmjuZCvY9kwe0qgSTG/SgsrHiogN/Xrt+rNDsqYMBVC5Uk2oVKNag EhSYSxCFT1oA1e4emzGzUYUBO7pamLWrrdV3RFlg2lUsB10J3woDiHyUgYpnCy3o8FthUcSP0ELr sFhPNE4Om/qQQMWRk2BOYBchACsBUAZaGB5k1sJA2O4K+oLwWWfgt+F6DSSzoEM7i4Gddy0gWEhZ QgLOx+sNad7hAXYnvSnoxhAIdrzsPxeEKmEA5oYDiWU8mvCN+99M6A3T6akhwAPlGwRwgP8B32WA il/VcIQBS/kZdkIKgpUwQAHeeVDWBBqNlIEX8TXooRECUAjgBe08RJqJTpim4odACcDAAwpqppJJ s7DF4o1GJAAjBpWY1A2OQCKhY4wHyaiBMEEmCceQGpQ4lQn0RKTilFRCk1KVWGap5ZZWbhBihe+d RUE1GlrwDZE9aKlkLV8WaAEq/PExYjxirmmnWgO6eYFGmdX3VHR3BgoAfC/YFo9xvDABqKCMulAc LwgsusSKNx3ExluN2pLlBos04F5Ti5aESySXZmqqEaNeNc+prMLQSaqItNofKPZlSuozsdqh40Y/ 5bCDrEVWascioYVaDxTAqvrQHUME5CvnmtlwmCw2CESYw4nZyDStLZ+OdRIfiG5bi7YS/SiulLsJ oMAUJGxi7BGXZJKaBKu0QgEs5+LBR4Qd0TMLuVhQ1otOV0EjzWn5OoGAjWcOEEUD0PZg7mTw4KWD clQljEUADdg3lI1J2HQUbQq5FLHGRhDIo261IhFMBRhVIFJTKKPBAKKzGMBfFgzO9GkOO+1c8xEL hItJmVoMJZ5RY0IF8tAxPDgmBcLwm4VWMkX4DlpQO+FwBQmsk9cdbMjVx2MTACZv10gAo6I3Faex mA8DOPZpR3qyzQITKoLl2h2pneMDUiXlbVgEADs= ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0219.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Since it is asymptotically AdS3, it is dual to a CFT2 in a

time-dependent background. Thus its entanglement

entropy shoul= d be time-dependent. =

The holograph= ic calculation leads to (we assume m<<1)

The null ener= gy condition requires that this is a

monotonically increasing function as in the BH second law.

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0219_image396.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC6VUv2sUQRR+8/b2dPdisrmcoKKwKsQcYpAE7JRYWIgmYO7A1lM3epB1xByeS5or xUqLNP4HKYOFWAS2sksai1RWVhrFBA4kOfCc92ZnzCVeoS7M8L7345t5377djbX3r4GfVinNgUfW rRlBhnMf1QYnOeqq5aGxUIjMEtjtdtkaF8cyX8HmDWCaa5WKyhrND8EJ6FIyBAqnylpWa6oEUM+p mixnAKZrjYfV5HFE5IfVtou6gh6VCBeE5i7hHTzqkjWirE3X+BY945O+8X0sGN/bgPrpYOunZnwp mBchqNbjaCGciZrhrIxrj+D58vfmK7XCi9vNyeNzK/psAXSnCT/FnREqHU80/up8O0L4UobXxfVB wmWLhzk+lnhZfeWQo6x5+SAyDKMuZUxKc0LBYQaLP7DqY1J3EHb/rQNkFbdsJ2fEYEAUE/IPyiDx VpL4rpwHWAv8dnu72FcZzYsZb9mps0K72f1v5DTuZPid0HhHmvzVPOEvNl/jTZuv8WerhztM+Lw0 Cv9gxTdsfNXfG0/xXL43/on1vdy37+lqeO1Z40kNTvlX+ve9X88UO3yvmwd4xV9OWq+e62JxSPDE GLzEE/X0d/8FwrE087TkEa7Z+Buvt77M83bP6nEb9/KlOAWEKwfmTfzXvIXOWWa4Kv3sm/f5v8Bj DPqsIudm76IlELGSLDSiGFaIF1TFaXjBBbQF7SLs18zh+l+aXB8P3gQAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0219_image397.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhWgFRAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABZ AVAAhAAAAEYKG1EKH1oJIWgIJX8HK28IJ2EJI3oHKnQIKJkAM40FL4gGLoQGLZEEMJUDMf///wEC AwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwX/ICSOZGmeaKqubOu+ cCzPdG3feK7vfO//wKBwSCwaj8ikcslsOp/QqHRKrVqv2Kx2y+16v+CwUUEul8XodMlsVlcV7rgc BZ9D6/a8G69f8vt9Z1t/gEeEhXJ4h1SLiEKNjnGQUZORPZVIAQQFC1gCDCwMAjaanCeYTqiWOapF ZQ1XBg4DLAcPBDWvJq1MvKu5VQgKuMGdLwsJNcLEJL5Kzr8y0EENCgFVBA4xAQ8HNNXXzV3T0S/k PwrGU9zMLwQPNOlrXuflLPU8BAoIVQXwMw8KyNDHb4SiQfYeUSmggBYjgTMYymDoUAQbhAlXJHCg wIE3c1Qe/AMiwACna7KG/4kYsEClCAMuSWhqoG3EAlgj9LVrIVINPjsCHDjAxQ3GzxwHFOD8IUCk PAMC9IE6MEDqiGoVDZap2JLEAKUwki4VczQON3USQUpZNiSBAgMJRrktEOCa26UcUXx9S6KmQXUt 2KYp64aBglEiHhR0QdgGx3BBWhr4KJlyTDIpWkKEQCBZs0NuPfe15jPjCX2bZzSmIUCekAAdRZMh BpsPZhTCQIkAbPGQoBGteYdZLabax3hS3C4Gom+kvgXhYI69fcKt7gLHtVZXIFqE8j2mTTw4R1xG S8TUuF9VsLllu656FcA7MNagXxbnwYf/fKM8DNjwZOXDeJCNh1htJWAV3/9hwkHwVX0pAOhgafuN 8FhO97XgnztKHZBaD0mp85U6UgVgQE4xldBaR+iRoM+JLejTgIcUMvFJKC3+cNdLDuR4T4QGVENE NQks54MwMEKA5HoIiNLMh5/tNEJaLRBp5HDb+BMbBLbMIIuAJ9giZQ8JjOdAd2qdwABHG0LAEJQ9 cITehSIw1ABkdY60y5giOAAnCm9K8t8DCzjklgK6wYBAg5mh+cYK1O33QJLuPIDnL60oOMJ3MGSz TTdZTBJpeLZcysJQGbUyKgR8vcDOQHo+qsKqphEA3TFXYmpUQ2uAqYI/NASEhaht4lDsO9np5QCl TRQ7zwvVZMgLezRQKWv/CqMGoGVAphbAEbdEOHvjCk5S8gwMTbnmZYoQzHTfTSXodAWxJDTlmS2g inDWNQOM95sPzpJ1LrrjPeBjlbx+RgZXfzx4ChsQb0ivhd21ZqkI4KD45w4BY5mEL+kaLENeJuxF aYasMvrExBDAlCNDBY0q3xAdg1EzqzOELM0imuXkKK1JhCbOrHjA51VHva0hcYWztjBXCU+TEDUd rI23MR2L5GbTw3dEyjKttzHEDGyJ6hAxxOGdfdEuMrcNCSqENBcD0NbVmWzSHKvdBtTqGQSpIr4V /QAtASwg8sN6743tPYk37vjjkEMOqdN9b1q5d5fv0sJXXMNgdAlfzQeh/0Uos9o4zX9bqMDdiAIn lHwFHHwJ04t/3AJMp6iMgqagkyEAow5bwbIwH7ZGTFO+KkT7KQOvIIyRMPFpkQnymrBijyi8OG/q I4yX1UYjGCZ7EDfT07wKhrGHGExXg/3nbClYy4gK+sSELzEGHA6Bv2wwYCoP5RvHwBagssG1rCXp kB7ODgGsUyjQT8PC1togIIAGmIkuLuKfGcoGsOUxz3YQICAAcXaCScHqf+bKh5FMFEAPImE1dVhE qWKAqgjuICn/K50L9QDD6WXvVi5YQK6mUJbxnGaIO7RDYyZ4mnypYADLIsJGyNCA5NVOB4YZCmTe gUJEGCB9qeqgD1MwLv/0jW8HCDTD3ZrGA29tsABWBIQtFmCAODqCMLbxAgPiIgJbIC1NSaSBWxS4 irII4l9f2ItRAlmD6DGthYPQneYYKYOvOCqMgYSNHZ9FSc/pMCGQzMIe50aFAWSxNl0sJXemqJi0 JTEbiDrjJKOwpKCoawsMYQDhqiFJRITyDWa4GGOkILbw7cMLn4MARy5piV9WwURsuhonnZCU1IiP Hn+ASS8B4cwrtCRWbHyCA2LVE2yqCGiR6KYVkqKKX6LmaNIMCSHQecdO/lFDUDBMVgxDSCrocw3b DIQ9mfnBVPChfu3yAkFkkjldMRJ8gOwFHgSgtYBGYZxSA6dDmWa42Hl3ZwGynCYTJMOZA4SmAf2c QlNuBZM1FnJ5U5QPSqUBBVs2YBTadGkWKkjFTfqyk6QEqlALOtTJFfWoJETqFZUKVHUKiqlCdap+ oGpPqhLVqkmUao2wmlWuKgxtXo3G2cJK1rKa9axoTata18rWtrr1rXCNq1yPEAIAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0220.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

In time-dependent b.g. , there are two kinds of horizon:

the event horizon and the apparent horizon.

Whi= ch area should be dual to the time-dependent entropy ?

Notice the definition of von-Nuemann ent= ropy is unique.

Our result of the covaritant EE suggests that the area of

apparent horizon is holographically dual to S(t).

This is because the extremal surface is determined by the

local eq. and tends to wrap the apparent horizon.

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0220_image398.wmz Content-Transfer-Encoding: base64 Content-Type: image/x-wmz H4sIAAAAAAACC7t+9tgsBgjgZ2Bi4AQxBIMZQQzmbkYGoJAMWJIViDmZYCwmRkYoi5Hp////YJYe owRUjBuujocJaAC/EJClxsbPIMXwH6SYQQDIPwBkHQPiA3wMDMeAhnFD1fAw+CaWZIRUFqQyMASA 7f7N1PAP4sAJIEsZWJgYBEIyc1OLFfxSyxWC8nMT8xhWrHpfvhGIFQw+lmfzp9WyANXpAlVzAGkj rgTGMD6Q1thKGP8SL4ivCedf4AHxNSo5ofw1nMxAVk5+eipMxT8OsI58GP8PO1hHPkwHEytIR0hR NFyHGhNYRxGMrwIOM40idD8xkuQnRgYQ/QHJb35gv5TA7aniQOUvYkTlOzCA+MHY3MEEckdwZW5S fg4DwwwJrk0ZT4Vwhi3EHYxwd9ziBplbBLeHjR3CxxKHKPZEcHCV47YH079aLCAjdOH2/AOHs20R FzQFcYFTGTipQNOPEFgv1O4GRiYmpuDK4pLUXIZakD0MQB2KDF2M0FzA0PJciAHdj8xgGQAH+PI9 LAMAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0220_image399.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCQEkAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUABwD/ ABgAgwAAAAAAAAcGBgsKCgwKCwoICQcGBwgHBwMDAwUEBAkICAsJCgYFBQkHCAECAwECAwT/EMhJ qwVDXCrG/mAojmFgnqSYgd1HFEaQzjS4fq11ohNxIIGEArBAbAqJRahYqDlBu2hUZHp+kMoPcyNI VK3gERa0/XwBBAQjqzBpLA1GijEMgwOILOBclJX8dhJxJHRmgIGIgnIjhRtnMXoAbQ0WSDNpkYkk AZFnRIeOoGCWJJihmomkI6YXZ55oAU0UabIbCB4UBUaoKaCvojrATrQftxW6p7xhxLa4E8itgCaZ nBU/IAwJFwgHyk6vI+BP1xvZ293B3mDkF+YW3NETMdoUogHoFgMMAZQWB8LqDF14EQMAEn4SxG1Y cMBLAAPO9uCjoA+hP2CvfADhRsCfF45O/xg6hFhv4oSK/axhBDQAyKIjsS7E2FEpZsBNwBI4bDBg QYJFCi0YqLNg3y6DNinM5JEr6QRPLYkiyNNDTcc+TEUMlVAUzzOnEpaCKwB2z6GWeCIqrXZhgNcL Cx5GkzJFU1ATtZ4CpMAgr1ubkNq+tRDXQLoJQiji6QggBmOkJkP0VQyYbQW3RysUPnxyo1oJXq7c M/Py5h+BnHFklrCvTugLZCM/LZ0QEFm1//r9Ws2Cd2vQwmKTTi0BLW+zH/blrRDUdD2A4pojTTlB QIA6CpWjfj5hH+EgtZnvbUpdgnXswrQn454PSGSFBJpLn0FXynbi4bEF+OwFl7j4e4Hjyv9KEvxT S3xviLAPf/vlVwGAUNgjgyhk8aYQWYbd59x6+CHnAngPBpCgOBhGyFl0gDBAFQEqfjYQiLOIqBds cmloVlzxVOBdO2XVQ4949WUVyF0EilaeJJbtqGOPT/04I3CZ7JHgADrhcYCLNB7Zhh5K8sVkQk7W RlYrtDVm2XOPfZfhhjY+KZ5+armVV2DipalZjewB0MBoisnSUpSMNNjnWlGaYCcFm4m3Z3lkLYeU o2QxQMCREjTKpokcumkBgBHpwyhYkU4Kk6OeABGJAj9ahyUInFLEwKfLhUrpo8FYdw9jwrUS2T8K GAAoAP9cqsU0NJ7pYE0BLEIAqo5KpFL/r78GewxeExSBgCy6OAMEXbI1lawEyybQLJ8T8OrrBtKK R1UB+yTbbIG8tbHGBwl0e6l9z9GUpwXKndDIBexIIO+vANQLJFMDGABEvWnqUp+9APRrwr/+rDYw vbLNt827VyBwqLBhwAfjCNfOoMvHNTCUT7qbjixCySmcnCMNRaC8gbggo6LQnhzD5XEKONuRBpYA 8TxDzUC/qzFskhIya85WKOSFzUc0reDTNFi3gQ/0BkA101+z9vTSsFFFRtBQJyKOW2WKYfZCaNtB rD8fsO2ELgQTEXeHKdyAw6ppP4Gvnl+G4PcFOSBCFj/OLMDTB0Y7cbgFiecrZOCYZ37pCqTtImBA z5pLEAEAOw== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0030.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

⑥ Conclusions

•The entanglement entropy can be an order parameter of confinement/deconfinement transitions.

• = ;

• We also observed that it decreases at the end point of closed

• tachyon condens= ation.

• If we are given a holographic SUGRA solution, we can easily <= /div>

• determined if it is confining or not.

•

•This viewpoint suggests that EE is a basic quantity also <= /span>

•　in the dual qua= ntum gravity side.

•

•<= /span>The area of the apparent horizon may be dual to the

• time-dependent von-Nuemann entropy.

•

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0221.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

A list of fut= ure problems:

<= span style=3D'font-size:75%'>(i)The first principle proof = of holographic EE

<= span style=3D'font-size:75%;visibility:hidden'>(ii)

<= span style=3D'font-size:75%'>(ii)The application to de-Sitt= er spacetimes

(iii)

(iii)The calculation of topolog= ical EE

(iv)

(iv)Beyond the SUGRA limit = ;

<= span style=3D'font-size:75%;visibility:hidden'>(v)

= ; &n= bsp; 　　ӌ= 8;　 :

　　　　= 2288;　　　　　　　　ӌ= 8;　　　　:

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/slide0215.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy

Entanglement Entropy and Black Hole Entropy

There are the following four arguments.

<= span style=3D'font-size:75%;color:#990033'>(1)The similari= ty of area law [Bombelli 86’, Srednicki 93’]

<= span style=3D'font-size:56%;color:#FF6600;visibility:hidden'>(2)

(2)Brane-world = BH [Maldacena-Hawking-Strominger 00’, Emparan 06 = ; &n= bsp; = ;

= ; &n= bsp; = ; &n= bsp; = ; &n= bsp; Rangamani-Hubeny-T 07’]

<= span style=3D'font-size:56%;color:#FF6600;visibility:hidden'>(1)

(3) AdS Black Holes [Maldacena 01’, Azeyanagi-Nishioka-T 07’]

<= span style=3D'font-size:56%;color:#FF6600;visibility:hidden'>(1)

(4) Minimal surface wrapped on horizon [Ryu-T 06’]

A new gravi= ty cut off may solve the species problem. [Dvali-Solodukin 08’]

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/master03_stylesheet.css Content-Transfer-Encoding: base64 Content-Type: text/css Ym9keQ0KCXt3aWR0aDo1MzRweDsNCgloZWlnaHQ6NDAwcHg7fQ0KLlRCDQoJe21zby1zcGVjaWFs LWZvcm1hdDpub2J1bGxldFwyMDIyO30NCi5UDQoJe3RleHQtYWxpZ246Y2VudGVyOw0KCWZvbnQt ZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhp YyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2Fs Ow0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDozOw0KCWZvbnQtc2l6ZToyMDklO30N Ci5CQg0KCXttc28tc3BlY2lhbC1mb3JtYXQ6YnVsbGV0XDIwMjI7fQ0KLkINCgl7dGV4dC1hbGln bjpsZWZ0Ow0KCWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZh bWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91 dC1mbG93OnZlcnRpY2FsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDoxOw0KCWZv bnQtc2l6ZToxNTIlO30NCi5CMUINCgl7bXNvLXNwZWNpYWwtZm9ybWF0OmJ1bGxldFwyMDEzO30N Ci5CMQ0KCXt0ZXh0LWFsaWduOmxlZnQ7DQoJZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1z by1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1mYW1p bHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7DQoJY29sb3I6YmxhY2s7DQoJbXNvLWNv bG9yLWluZGV4OjE7DQoJZm9udC1zaXplOjEzMyU7fQ0KLkIyQg0KCXttc28tc3BlY2lhbC1mb3Jt YXQ6YnVsbGV0XDIwMjI7fQ0KLkIyDQoJe3RleHQtYWxpZ246bGVmdDsNCglmb250LWZhbWlseToi TVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1z by1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDsNCgljb2xv cjpibGFjazsNCgltc28tY29sb3ItaW5kZXg6MTsNCglmb250LXNpemU6MTE0JTt9DQouQjNCDQoJ e21zby1zcGVjaWFsLWZvcm1hdDpidWxsZXRcMjAxMzt9DQouQjMNCgl7dGV4dC1hbGlnbjpsZWZ0 Ow0KCWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToi TVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93 OnZlcnRpY2FsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDoxOw0KCWZvbnQtc2l6 ZTo5NSU7fQ0KLkI0Qg0KCXttc28tc3BlY2lhbC1mb3JtYXQ6YnVsbGV0XDAwQkI7fQ0KLkI0DQoJ e3RleHQtYWxpZ246bGVmdDsNCglmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVh c3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlh bDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDsNCgljb2xvcjpibGFjazsNCgltc28tY29sb3ItaW5k ZXg6MTsNCglmb250LXNpemU6OTUlO30NCi5ODQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsN Cgltc28tYXNjaWktZm9udC1mYW1pbHk6Q2FsaWJyaTsNCgltc28tZmFyZWFzdC1mb250LWZhbWls eToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkNhbGlicmk7DQoJbGF5b3V0 LWZsb3c6dmVydGljYWw7DQoJbXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93 OjE7fQ0KLk4xDQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tYXNjaWktZm9udC1m YW1pbHk6Q2FsaWJyaTsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJ bXNvLWhhbnNpLWZvbnQtZmFtaWx5OkNhbGlicmk7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7DQoJ bXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0KLk4yDQoJe2ZvbnQt ZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tYXNjaWktZm9udC1mYW1pbHk6Q2FsaWJyaTsNCglt c28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFt aWx5OkNhbGlicmk7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7DQoJbXNvLWNoYXItd3JhcDoxOw0K CW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0KLk4zDQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGlj IjsNCgltc28tYXNjaWktZm9udC1mYW1pbHk6Q2FsaWJyaTsNCgltc28tZmFyZWFzdC1mb250LWZh bWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkNhbGlicmk7DQoJbGF5 b3V0LWZsb3c6dmVydGljYWw7DQoJbXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJm bG93OjE7fQ0KLk40DQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tYXNjaWktZm9u dC1mYW1pbHk6Q2FsaWJyaTsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7 DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkNhbGlicmk7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7 DQoJbXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0KLk9CDQoJe21z by1zcGVjaWFsLWZvcm1hdDpub2J1bGxldFwyMDIyO30NCi5PDQoJe3RleHQtYWxpZ246bGVmdDsN Cglmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6Ik1T IFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlvdXQtZmxvdzp2 ZXJ0aWNhbDsNCgljb2xvcjpibGFjazsNCgltc28tY29sb3ItaW5kZXg6MTsNCglmb250LXNpemU6 ODUlO30NCi5PMQ0KCXtmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9u dC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCgls YXlvdXQtZmxvdzp2ZXJ0aWNhbDt9DQouTzINCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0K CW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1m YW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7fQ0KLk8zDQoJe2ZvbnQtZmFtaWx5 OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJ bXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2FsO30NCi5P NA0KCXtmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6 Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlvdXQtZmxv dzp2ZXJ0aWNhbDt9DQouQ0JCDQoJe21zby1zcGVjaWFsLWZvcm1hdDpub2J1bGxldFwyMDIyO30N Ci5DQg0KCXt0ZXh0LWFsaWduOmNlbnRlcjsNCglmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJ bXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZh bWlseTpBcmlhbDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDsNCgljb2xvcjpibGFjazsNCgltc28t Y29sb3ItaW5kZXg6MTsNCglmb250LXNpemU6MTUyJTt9DQouQ0IxDQoJe2ZvbnQtZmFtaWx5OiJN UyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNv LWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2FsO30NCi5DQjIN Cgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJN UyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6 dmVydGljYWw7fQ0KLkNCMw0KCXtmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVh c3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlh bDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDt9DQouQ0I0DQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290 aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNp LWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2FsO30NCi5DVEINCgl7bXNv LXNwZWNpYWwtZm9ybWF0Om5vYnVsbGV0XDIwMjI7fQ0KLkNUDQoJe3RleHQtYWxpZ246Y2VudGVy Ow0KCWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToi TVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93 OnZlcnRpY2FsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDozOw0KCWZvbnQtc2l6 ZToyMDklO30NCi5IQg0KCXtmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3Qt Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsN CglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDt9DQouSEIxDQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGlj IjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZv bnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2FsO30NCi5IQjINCgl7Zm9udC1m YW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGlj IjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7 fQ0KLkhCMw0KCXtmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1m YW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlv dXQtZmxvdzp2ZXJ0aWNhbDt9DQouSEI0DQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCglt c28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFt aWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2FsO30NCi5RQg0KCXtmb250LWZhbWlseToi TVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1z by1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDt9DQouUUIx DQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToi TVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93 OnZlcnRpY2FsO30NCi5RQjINCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJl YXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJp YWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7fQ0KLlFCMw0KCXtmb250LWZhbWlseToiTVMgUEdv dGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5z aS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDt9DQouUUI0DQoJe2Zv bnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdv dGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRp Y2FsO30NCi5UYmwNCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJlYXN0LWZv bnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJpYWw7DQoJ bGF5b3V0LWZsb3c6dmVydGljYWw7fQ0KLlRibDENCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMi Ow0KCW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9u dC1mYW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7fQ0KLlRibDINCgl7Zm9udC1m YW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGlj IjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7 fQ0KLlRibDMNCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJlYXN0LWZvbnQt ZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJpYWw7DQoJbGF5 b3V0LWZsb3c6dmVydGljYWw7fQ0KLlRibDQNCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0K CW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1m YW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7fQ0KLmRlZmF1bHRCDQoJe21zby1z cGVjaWFsLWZvcm1hdDpub2J1bGxldFwyMDIyO30NCi5kZWZhdWx0DQoJe3RleHQtYWxpZ246bGVm dDsNCglmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWFzY2lpLWZvbnQtZmFtaWx5OkFy aWFsOw0KCW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2kt Zm9udC1mYW1pbHk6QXJpYWw7DQoJZm9udC13ZWlnaHQ6bm9ybWFsOw0KCWZvbnQtc3R5bGU6bm9y bWFsOw0KCXRleHQtZGVjb3JhdGlvbjpub25lOw0KCXRleHQtc2hhZG93Om5vbmU7DQoJdGV4dC1l ZmZlY3Q6bm9uZTsNCgltc28tZmFyZWFzdC1oaW50Om5vOw0KCWxheW91dC1mbG93OnZlcnRpY2Fs Ow0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDoxOw0KCWZvbnQtc2l6ZTo4NSU7DQoJ bXNvLXRleHQtcmFpc2U6MCU7DQoJbXNvLWxpbmUtc3BhY2luZzoiMTAwIDAgMCI7DQoJbXNvLW1h cmdpbi1sZWZ0LWFsdDowOw0KCW1zby10ZXh0LWluZGVudC1hbHQ6MDsNCgltc28tY2hhci13cmFw OjE7DQoJbXNvLWtpbnNva3Utb3ZlcmZsb3c6MTsNCglkaXJlY3Rpb246bHRyOw0KCW1zby13b3Jk LXdyYXA6MTsNCgltc28tdmVydGljYWwtYWxpZ24tc3BlY2lhbDpiYXNlbGluZTsNCgltc28tZmFy ZWFzdC1sYW5ndWFnZTpKQTt9DQphOmxpbmsNCgl7Y29sb3I6IzAwOTk5OSAhaW1wb3J0YW50O30N CmE6YWN0aXZlDQoJe2NvbG9yOiMzMzMzOTkgIWltcG9ydGFudDt9DQphOnZpc2l0ZWQNCgl7Y29s b3I6Izk5Q0MwMCAhaW1wb3J0YW50O30NCn== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/master17_stylesheet.css Content-Transfer-Encoding: base64 Content-Type: text/css Ym9keQ0KCXt3aWR0aDo1MzRweDsNCgloZWlnaHQ6NDAwcHg7fQ0KLlRCDQoJe21zby1zcGVjaWFs LWZvcm1hdDpub2J1bGxldFwyMDIyO30NCi5UDQoJe3RleHQtYWxpZ246Y2VudGVyOw0KCWZvbnQt ZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhp YyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2Fs Ow0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDozOw0KCWZvbnQtc2l6ZToyMDklO30N Ci5CQg0KCXttc28tc3BlY2lhbC1mb3JtYXQ6YnVsbGV0XDIwMjI7fQ0KLkINCgl7dGV4dC1hbGln bjpsZWZ0Ow0KCWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZh bWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91 dC1mbG93OnZlcnRpY2FsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDoxOw0KCWZv bnQtc2l6ZToxNTIlO30NCi5CMUINCgl7bXNvLXNwZWNpYWwtZm9ybWF0OmJ1bGxldFwyMDEzO30N Ci5CMQ0KCXt0ZXh0LWFsaWduOmxlZnQ7DQoJZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1z by1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1mYW1p bHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7DQoJY29sb3I6YmxhY2s7DQoJbXNvLWNv bG9yLWluZGV4OjE7DQoJZm9udC1zaXplOjEzMyU7fQ0KLkIyQg0KCXttc28tc3BlY2lhbC1mb3Jt YXQ6YnVsbGV0XDIwMjI7fQ0KLkIyDQoJe3RleHQtYWxpZ246bGVmdDsNCglmb250LWZhbWlseToi TVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1z by1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDsNCgljb2xv cjpibGFjazsNCgltc28tY29sb3ItaW5kZXg6MTsNCglmb250LXNpemU6MTE0JTt9DQouQjNCDQoJ e21zby1zcGVjaWFsLWZvcm1hdDpidWxsZXRcMjAxMzt9DQouQjMNCgl7dGV4dC1hbGlnbjpsZWZ0 Ow0KCWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToi TVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93 OnZlcnRpY2FsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDoxOw0KCWZvbnQtc2l6 ZTo5NSU7fQ0KLkI0Qg0KCXttc28tc3BlY2lhbC1mb3JtYXQ6YnVsbGV0XDAwQkI7fQ0KLkI0DQoJ e3RleHQtYWxpZ246bGVmdDsNCglmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVh c3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlh bDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDsNCgljb2xvcjpibGFjazsNCgltc28tY29sb3ItaW5k ZXg6MTsNCglmb250LXNpemU6OTUlO30NCi5ODQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsN Cgltc28tYXNjaWktZm9udC1mYW1pbHk6Q2FsaWJyaTsNCgltc28tZmFyZWFzdC1mb250LWZhbWls eToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkNhbGlicmk7DQoJbGF5b3V0 LWZsb3c6dmVydGljYWw7DQoJbXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93 OjE7fQ0KLk4xDQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tYXNjaWktZm9udC1m YW1pbHk6Q2FsaWJyaTsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJ bXNvLWhhbnNpLWZvbnQtZmFtaWx5OkNhbGlicmk7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7DQoJ bXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0KLk4yDQoJe2ZvbnQt ZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tYXNjaWktZm9udC1mYW1pbHk6Q2FsaWJyaTsNCglt c28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFt aWx5OkNhbGlicmk7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7DQoJbXNvLWNoYXItd3JhcDoxOw0K CW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0KLk4zDQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGlj IjsNCgltc28tYXNjaWktZm9udC1mYW1pbHk6Q2FsaWJyaTsNCgltc28tZmFyZWFzdC1mb250LWZh bWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkNhbGlicmk7DQoJbGF5 b3V0LWZsb3c6dmVydGljYWw7DQoJbXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJm bG93OjE7fQ0KLk40DQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tYXNjaWktZm9u dC1mYW1pbHk6Q2FsaWJyaTsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7 DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkNhbGlicmk7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7 DQoJbXNvLWNoYXItd3JhcDoxOw0KCW1zby1raW5zb2t1LW92ZXJmbG93OjE7fQ0KLk9CDQoJe21z by1zcGVjaWFsLWZvcm1hdDpub2J1bGxldFwyMDIyO30NCi5PDQoJe3RleHQtYWxpZ246bGVmdDsN Cglmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6Ik1T IFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlvdXQtZmxvdzp2 ZXJ0aWNhbDsNCgljb2xvcjpibGFjazsNCgltc28tY29sb3ItaW5kZXg6MTsNCglmb250LXNpemU6 ODUlO30NCi5PMQ0KCXtmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9u dC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCgls YXlvdXQtZmxvdzp2ZXJ0aWNhbDt9DQouTzINCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0K CW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1m YW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7fQ0KLk8zDQoJe2ZvbnQtZmFtaWx5 OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJ bXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2FsO30NCi5P NA0KCXtmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6 Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlvdXQtZmxv dzp2ZXJ0aWNhbDt9DQouQ0JCDQoJe21zby1zcGVjaWFsLWZvcm1hdDpub2J1bGxldFwyMDIyO30N Ci5DQg0KCXt0ZXh0LWFsaWduOmNlbnRlcjsNCglmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJ bXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZh bWlseTpBcmlhbDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDsNCgljb2xvcjpibGFjazsNCgltc28t Y29sb3ItaW5kZXg6MTsNCglmb250LXNpemU6MTUyJTt9DQouQ0IxDQoJe2ZvbnQtZmFtaWx5OiJN UyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNv LWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2FsO30NCi5DQjIN Cgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJN UyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6 dmVydGljYWw7fQ0KLkNCMw0KCXtmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVh c3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlh bDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDt9DQouQ0I0DQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290 aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNp LWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2FsO30NCi5DVEINCgl7bXNv LXNwZWNpYWwtZm9ybWF0Om5vYnVsbGV0XDIwMjI7fQ0KLkNUDQoJe3RleHQtYWxpZ246Y2VudGVy Ow0KCWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToi TVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93 OnZlcnRpY2FsOw0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDozOw0KCWZvbnQtc2l6 ZToyMDklO30NCi5IQg0KCXtmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3Qt Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsN CglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDt9DQouSEIxDQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGlj IjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZv bnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2FsO30NCi5IQjINCgl7Zm9udC1m YW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGlj IjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7 fQ0KLkhCMw0KCXtmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1m YW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlv dXQtZmxvdzp2ZXJ0aWNhbDt9DQouSEI0DQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCglt c28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFt aWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRpY2FsO30NCi5RQg0KCXtmb250LWZhbWlseToi TVMgUEdvdGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1z by1oYW5zaS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDt9DQouUUIx DQoJe2ZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToi TVMgUEdvdGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93 OnZlcnRpY2FsO30NCi5RQjINCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJl YXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJp YWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7fQ0KLlFCMw0KCXtmb250LWZhbWlseToiTVMgUEdv dGhpYyI7DQoJbXNvLWZhcmVhc3QtZm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1oYW5z aS1mb250LWZhbWlseTpBcmlhbDsNCglsYXlvdXQtZmxvdzp2ZXJ0aWNhbDt9DQouUUI0DQoJe2Zv bnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28tZmFyZWFzdC1mb250LWZhbWlseToiTVMgUEdv dGhpYyI7DQoJbXNvLWhhbnNpLWZvbnQtZmFtaWx5OkFyaWFsOw0KCWxheW91dC1mbG93OnZlcnRp Y2FsO30NCi5UYmwNCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJlYXN0LWZv bnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJpYWw7DQoJ bGF5b3V0LWZsb3c6dmVydGljYWw7fQ0KLlRibDENCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMi Ow0KCW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9u dC1mYW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7fQ0KLlRibDINCgl7Zm9udC1m YW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGlj IjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7 fQ0KLlRibDMNCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0KCW1zby1mYXJlYXN0LWZvbnQt ZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1mYW1pbHk6QXJpYWw7DQoJbGF5 b3V0LWZsb3c6dmVydGljYWw7fQ0KLlRibDQNCgl7Zm9udC1mYW1pbHk6Ik1TIFBHb3RoaWMiOw0K CW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2ktZm9udC1m YW1pbHk6QXJpYWw7DQoJbGF5b3V0LWZsb3c6dmVydGljYWw7fQ0KLmRlZmF1bHRCDQoJe21zby1z cGVjaWFsLWZvcm1hdDpub2J1bGxldFwyMDIyO30NCi5kZWZhdWx0DQoJe3RleHQtYWxpZ246bGVm dDsNCglmb250LWZhbWlseToiTVMgUEdvdGhpYyI7DQoJbXNvLWFzY2lpLWZvbnQtZmFtaWx5OkFy aWFsOw0KCW1zby1mYXJlYXN0LWZvbnQtZmFtaWx5OiJNUyBQR290aGljIjsNCgltc28taGFuc2kt Zm9udC1mYW1pbHk6QXJpYWw7DQoJZm9udC13ZWlnaHQ6bm9ybWFsOw0KCWZvbnQtc3R5bGU6bm9y bWFsOw0KCXRleHQtZGVjb3JhdGlvbjpub25lOw0KCXRleHQtc2hhZG93Om5vbmU7DQoJdGV4dC1l ZmZlY3Q6bm9uZTsNCgltc28tZmFyZWFzdC1oaW50Om5vOw0KCWxheW91dC1mbG93OnZlcnRpY2Fs Ow0KCWNvbG9yOmJsYWNrOw0KCW1zby1jb2xvci1pbmRleDoxOw0KCWZvbnQtc2l6ZTo4NSU7DQoJ bXNvLXRleHQtcmFpc2U6MCU7DQoJbXNvLWxpbmUtc3BhY2luZzoiMTAwIDAgMCI7DQoJbXNvLW1h cmdpbi1sZWZ0LWFsdDowOw0KCW1zby10ZXh0LWluZGVudC1hbHQ6MDsNCgltc28tY2hhci13cmFw OjE7DQoJbXNvLWtpbnNva3Utb3ZlcmZsb3c6MTsNCglkaXJlY3Rpb246bHRyOw0KCW1zby13b3Jk LXdyYXA6MTsNCgltc28tdmVydGljYWwtYWxpZ24tc3BlY2lhbDpiYXNlbGluZTsNCgltc28tZmFy ZWFzdC1sYW5ndWFnZTpKQTt9DQphOmxpbmsNCgl7Y29sb3I6IzAwOTk5OSAhaW1wb3J0YW50O30N CmE6YWN0aXZlDQoJe2NvbG9yOiMzMzMzOTkgIWltcG9ydGFudDt9DQphOnZpc2l0ZWQNCgl7Y29s b3I6Izk5Q0MwMCAhaW1wb3J0YW50O30NCn== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/script.js Content-Transfer-Encoding: quoted-printable Content-Type: application/javascript; charset="us-ascii" function LoadSld() { var sld=3DGetObj("SlideObj") if( !g_supportsPPTHTML ) { sld.style.visibility=3D"visible" return } if( MakeNotesVis() ) return runAnimations =3D _InitAnimations(); if( IsWin("PPTSld") ) parent.SldUpdated(GetSldId()) g_origSz=3DparseInt(SlideObj.style.fontSize) g_origH=3Dsld.style.posHeight g_origW=3Dsld.style.posWidth g_scaleHyperlinks=3D(document.all.tags("AREA").length>0) if( g_scaleHyperlinks ) InitHLinkArray() if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) ) document.body.scroll=3D"no" _RSW() if( IsWin("PPTSld") && parent.IsFullScrMode() ) FullScrInit(); =09 MakeSldVis(); ChkAutoAdv() if( runAnimations ) { if( document.all("NSPlay") ) document.all("NSPlay").autoStart =3D false; if( sld.filters && sld.filters.revealtrans ) setTimeout( "document.body.start()", sld.filters.revealtrans.duration * = 1000 ); else document.body.start(); } } function MakeSldVis() { var fTrans=3Dg_showAnimation && SldHasTrans() if( fTrans ) { if( g_bgSound ) { idx=3Dg_bgSound.indexOf(","); pptSound.src=3Dg_bgSound.substr( 0, idx ); pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1))); } SlideObj.filters.revealtrans.Apply() } SlideObj.style.visibility=3D"visible" if( fTrans ) SlideObj.filters.revealtrans.Play() } function MakeNotesVis() { if( !IsNts() ) return false SlideObj.style.display=3D"none" nObj =3D document.all.item("NotesObj") parent.SetHasNts(0) if( nObj ) { nObj.style.display=3D"" parent.SetHasNts(1) } return 1 } function ChkAutoAdv() { if(SldHasTrans()) SlideObj.onfilterchange=3DAutoAdv else AutoAdv() } function AutoAdv() { if(!IsWin("PPTSld") || !gUseSldTimings )return var sld=3DGetCurSld() if( (sld.mAdvDelay>0) && !parent.IsFramesMode() ) setTimeout("parent.GoToNextSld()",sld.mAdvDelay) } function GetObj(id) { if(g_supportsPPTHTML) return document.all(id); else return document.getElementById(id); } function SldHasTrans() { return SlideObj.style.getAttribute("filter")!=3D""= } function GetSldId() { return sId=3Dlocation.href.substring(location.href.la= stIndexOf('/')+1) } function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx= tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl= e.display=3D'none'; return true } return false } function IsWin( name ) { return window.name =3D=3D name } function IsNts() { return IsWin("PPTNts") } function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) } function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"= && navigator.appVersion.indexOf("Windows")>0 ) } function SupportsPPTHTML() { var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0 if( msie >=3D 0 ) ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) ) else ver=3DparseInt(appVer) return( ver >=3D 4 && msie >=3D 0 ) } function _RSW() { if( !g_supportsPPTHTML || IsNts() || ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) ) return var padding=3D0; if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6 cltWidth=3Ddocument.body.clientWidth-padding cltHeight=3Ddocument.body.clientHeight-padding factor=3D(1.0*cltWidth)/g_origW if( cltHeight < g_origH*factor ) factor=3D(1.0*cltHeight)/g_origH newSize =3D g_origSz * factor if( newSize < 1 ) newSize=3D1 s=3DSlideObj.style s.fontSize=3DnewSize+"px" s.posWidth=3Dg_origW*factor s.posHeight=3Dg_origH*factor s.posLeft=3D(cltWidth-s.posWidth+padding)/2 s.posTop=3D(cltHeight-s.posHeight+padding)/2 if( g_scaleHyperlinks ) ScaleHyperlinks( factor ) } function _InitAnimations() { animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined'; isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode(); g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc= reen && parent.IsSldVisited()); if( g_animUseRuntime ) { collSeq =3D document.all.tags("seq"); if( collSeq !=3D null ) { for(ii=3D0;ii numSlds ) gSldJumpIdx =3D numSlds; if ( gSldJumpIdx >=3D 0 ) { if ( gSldJumpIdx =3D=3D 0 ) gSldJumpIdx =3D 1; var jumpTo =3D parseInt(gSldJumpIdx); gSldJump =3D 0; gSldJumpIdx =3D ""; win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref ) } } } function _KDH() { if( event.keyCode =3D=3D 8 ) { event.returnValue =3D 0; parent.GoToPrevSld(); } } function DocumentOnClick() { if( IsNts() || parent.HideMenu() ) return; if( ( g_allowAdvOnClick && (window.name=3D=3D"PPTSld") && !parent.IsFrames= Mode() ) || (event && event.keyCode=3D=3D32) ) { if( g_animUseRuntime && g_animMainSequence && g_animMainSequence.cangonex= t ) return; parent.GoToNextSld(); } } var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""= , g_bgSound=3D"", g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser = =3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1; var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w= indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va= r g_animManager =3D null; var g_animUseRuntime =3D false; var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime; var g_animMainSequence =3D null; var ENDSHOW_MESG=3D"슬라이드 쇼가 ǃ= 49;났습니다. 끝내려면 Ǜ= 60;우스를 클릭하십시오= ;.", SCREEN_MODE=3D"Frames", gIsEndShow=3D0, NUM_VIS_SLDS=3D57, SCRIPT_HREF= =3D"script.js", FULLSCR_HREF=3D"fullscreen.htm"; var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO= tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true window.gPPTHTML=3DSupportsPPTHTML() var gMainDoc=3Dnew Array(new hrefList("slide0057.htm",1,-1,1),new hrefList(= "slide0002.htm",1,-1,1),new hrefList("slide0107.htm",1,-1,1),new hrefList("= slide0150.htm",1,-1,1),new hrefList("slide0109.htm",1,-1,1),new hrefList("s= lide0163.htm",1,-1,1),new hrefList("slide0003.htm",1,-1,1),new hrefList("sl= ide0151.htm",1,-1,1),new hrefList("slide0006.htm",1,-1,1),new hrefList("sli= de0004.htm",1,-1,1),new hrefList("slide0213.htm",1,-1,1),new hrefList("slid= e0214.htm",1,-1,1),new hrefList("slide0164.htm",1,-1,1),new hrefList("slide= 0031.htm",1,-1,1),new hrefList("slide0064.htm",1,-1,1),new hrefList("slide0= 014.htm",1,-1,1),new hrefList("slide0117.htm",1,-1,1),new hrefList("slide01= 33.htm",1,-1,1),new hrefList("slide0038.htm",1,-1,1),new hrefList("slide003= 9.htm",1,-1,1),new hrefList("slide0040.htm",1,-1,1),new hrefList("slide0041= .htm",1,-1,1),new hrefList("slide0048.htm",1,-1,1),new hrefList("slide0161.= htm",1,-1,1),new hrefList("slide0162.htm",1,-1,1),new hrefList("slide0165.h= tm",1,-1,1),new hrefList("slide0182.htm",1,-1,1),new hrefList("slide0183.ht= m",1,-1,1),new hrefList("slide0187.htm",1,-1,1),new hrefList("slide0188.htm= ",1,-1,1),new hrefList("slide0189.htm",1,-1,1),new hrefList("slide0190.htm"= ,1,-1,1),new hrefList("slide0173.htm",1,-1,1),new hrefList("slide0174.htm",= 1,-1,1),new hrefList("slide0175.htm",1,-1,1),new hrefList("slide0191.htm",1= ,-1,1),new hrefList("slide0177.htm",1,-1,1),new hrefList("slide0193.htm",1,= -1,1),new hrefList("slide0203.htm",1,-1,1),new hrefList("slide0192.htm",1,-= 1,1),new hrefList("slide0166.htm",1,-1,1),new hrefList("slide0204.htm",1,-1= ,1),new hrefList("slide0205.htm",1,-1,1),new hrefList("slide0206.htm",1,-1,= 1),new hrefList("slide0209.htm",1,-1,1),new hrefList("slide0208.htm",1,-1,1= ),new hrefList("slide0207.htm",1,-1,1),new hrefList("slide0210.htm",1,-1,1)= ,new hrefList("slide0211.htm",1,-1,1),new hrefList("slide0212.htm",1,-1,1),= new hrefList("slide0217.htm",1,-1,1),new hrefList("slide0218.htm",1,-1,1),n= ew hrefList("slide0219.htm",1,-1,1),new hrefList("slide0220.htm",1,-1,1),ne= w hrefList("slide0030.htm",1,-1,1),new hrefList("slide0221.htm",1,-1,1),new= hrefList("slide0215.htm",1,-1,1)); function FullScrInit() { g_allowAdvOnClick =3D GetCurSld().mAdvOnClk document.body.style.backgroundColor=3D"black" document.oncontextmenu=3Dparent._CM; document.onkeydown =3D _KDH; document.ondragstart=3DCancel document.onselectstart=3DCancel self.focus() } function Redirect( frmId ) { var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId() if(idx>=3D0) str=3Dstr.substr(1); if( window.name !=3D frmId && ( sId !=3D str) ) { obj =3D GetObj("Main-File") window.location.href=3Dobj.href+"#"+sId return 1 } return 0 } var MHTMLPrefix =3D CalculateMHTMLPrefix(); function CalculateMHTMLPrefix() { if ( document.location.protocol =3D=3D 'mhtml:') { href=3Dnew String(document.location.href) Start=3Dhref.indexOf('!')+1 End=3Dhref.lastIndexOf('/')+1 if (End < Start) return href.substring(0, Start) else return href.substring(0, End) } return ''; } function GetTags(base,tag) { if(g_supportsPPTHTML) return base.all.tags(tag); else return base.getElementsByTagName(tag); } function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP= refix+GetHrefObj( gCurSld ).mNtsHref ) } function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() } function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() } function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() } function SetHasNts( fVal ) { if( gHasNts !=3D fVal ) { gHasNts=3DfVal UpdNavPane() } } function ToggleOtlText() { gOtlTxtExp=3D!gOtlTxtExp UpdOtlPane() } function ToggleOtlPane() { frmset=3Ddocument.all("PPTHorizAdjust") frm=3Ddocument.all("PPTOtl") if( gOtlOpen ) frmset.cols=3D"*,100%" else frmset.cols=3D"25%,*" gOtlOpen=3D!gOtlOpen frm.noResize=3D!frm.noResize UpdOtNavPane() } function ToggleNtsPane() { frmset=3Ddocument.all("PPTVertAdjust") frm=3Ddocument.all("PPTNts") if( gNtsOpen ) frmset.rows=3D"100%,*" else frmset.rows=3D"*,20%" gNtsOpen=3D!gNtsOpen UpdNtsPane() } function ClearMedia() { if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0; } function FullScreen() { if ( PPTSld.g_animUseRuntime ) PPTSld.document.body.pause(); ClearMedia(); var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF = : FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref; if(PPTNav.event.ctrlKey) { var w =3D (window.screen.availWidth * 1.0) / 2.0 var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top= =3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } else { win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } } function ToggleVNarration() { rObj=3DPPTSld.document.all("NSPlay") if( rObj && !PPTSld.g_animUseRuntime ) { if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) ) rObj.Play() else if( rObj.playState =3D=3D 2 ) rObj.Pause() else return; } else if( PPTSld.g_animUseRuntime ) { narObj =3D PPTSld.document.all("narrationID") if( narObj ) narObj.togglePause() } } function GetCurSldNum() { obj=3DGetHrefObj(gCurSld) if( obj.mOrigVis =3D=3D 1 ) return obj.mSldIdx else return gCurSld } function GetNumSlds() { if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 ) return GetSldList().mNumVisSlds; else return GetSldList().mList.length } function GetSldNum( href ) { for(ii=3D0; ii 1 ) PopSldList(); else if( !IsFramesMode() ) { if( gLoopCont ) GoToFirst() else EndShow() } } function GoToPrevSld() { ii=3DgCurSld-1 if( ii > 0 ) { obj=3DGetHrefObj(ii) while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) ) obj=3DGetHrefObj(--ii) if( ii =3D=3D 0 ) ii=3D1 GoToSldNum(ii) } } function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) } function GoToLast() { ii=3DGetSldList().mList.length if( ii !=3D gCurSld ) GoToSld( GetHrefObj(ii).mSldHref ) } function GoToSldNum( num ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue obj =3D GetHrefObj( num ) obj.mVis=3D1 gPrevSld=3DgCurSld gCurSld =3D num; PPTSld.location.replace(MHTMLPrefix+obj.mSldHref) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function GoToSld( href ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue GetHrefObj( GetSldNum(href) ).mVis=3D1 PPTSld.location.replace(MHTMLPrefix+href) } function SldUpdated( id ) { if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return gPrevSld=3DgCurSld gCurSld=3DGetSldNum(id) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) } function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO= bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) } function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) } function CloseWindow() { if( HideMenu() ) return; var event =3D PPTSld.event; if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D= =3D32 || event.type=3D=3D"click" ) ) window.close( self ); CatchNumKeys( self, event ); } function Unload() { gIsEndShow=3D0; } function SetupEndShow() { gIsEndShow=3D1; PPTSld.document.body.scroll=3D"no"; PPTSld.document.onkeypress=3DCloseWindow; PPTSld.document.onclick=3DCloseWindow; PPTSld.document.oncontextmenu=3D_CM; } function EndShow() { if( IsFramesMode() ) return if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue doc=3DPPTSld.document doc.open() doc.writeln('

' + ENDSHOW_MESG + '

') doc.close() } function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue } function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited } function hrefList( sldHref, visible, advDelay, advClk ) { this.mSldHref=3D this.mNtsHref =3D sldHref this.mOrigVis=3D this.mVis =3D visible this.mVisited=3D false this.mAdvDelay=3D advDelay this.mAdvOnClk=3D advClk } function SldList(arr,curSld,fEnd) { this.mCurSld =3D curSld; this.mList =3D new Array(); var idx =3D 1; for(ii=3D0;ii 0) { PushSldList(sldList,fEnd); gCurSld =3D 1; } else if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue } function PushSldList(arr,fEnd) { var ii =3D gSldStack.length; gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd); GoToSld( gSldStack[ii].mList[0].mSldHref ); } function PopSldList() { if (gSldStack[gSldStack.length-1].fEndShow) EndShow() else { gCurSld =3D gSldStack[gSldStack.length-1].mCurSld; gSldStack[gSldStack.length-1] =3D null; gSldStack.length--; var sldList =3D gSldStack[gSldStack.length-1]; GoToSld( sldList.mList[gCurSld - 1].mSldHref ); } } var custShowList=3Dnew Array(); function ImgBtn( oId,bId,w,action ) { var t=3Dthis t.Perform =3D _IBP t.SetActive =3D _IBSetA t.SetInactive=3D _IBSetI t.SetPressed =3D _IBSetP t.SetDisabled=3D _IBSetD t.Enabled =3D _IBSetE t.ChangeIcon =3D null t.UserAction =3D action t.ChgState =3D _IBUI t.mObjId =3D oId t.mBorderId=3D bId t.mWidth =3D w t.mIsOn =3D t.mCurState =3D 0 } function _IBSetA() { if( this.mIsOn ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _IBSetI() { if( this.mIsOn ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0 } } function _IBSetP() { if( this.mIsOn ) { obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=3D1; obj.style.posTop+=3D1 } } function _IBSetD() { obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=3D0 } function _IBSetE( state ) { var t=3Dthis GetObj( t.mBorderId ).style.visibility=3D"visible" if( state !=3D t.mIsOn ) { t.mIsOn=3Dstate if( state ) t.SetInactive() else t.SetDisabled() } } function _IBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( t.ChangeIcon ) { obj=3DGetObj(t.mObjId) if( t.ChangeIcon() ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth else obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth } t.SetActive() } } function _IBUI( clr1,clr2,nextState ) { var t=3Dthis SetBorder( GetObj( t.mBorderId ),clr1,clr2 ) obj=3DGetObj( t.mObjId ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj= .style.posTop t.mCurState=3DnextState return obj } function TxtBtn( oId,oeId,action,chkState ) { var t=3Dthis t.Perform =3D _TBP t.SetActive =3D _TBSetA t.SetInactive=3D _TBSetI t.SetPressed =3D _TBSetP t.SetDisabled=3D _TBSetD t.SetEnabled =3D _TBSetE t.GetState =3D chkState t.UserAction =3D action t.ChgState =3D _TBUI t.mObjId =3D oId t.m_elementsId=3D oeId t.mIsOn =3D 1 } function _TBSetA() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gHiliteClr,gShadowClr,0,0 ) } function _TBSetI() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) } function _TBSetP() { if( this.mIsOn ) this.ChgState( gShadowClr,gHiliteClr,1,1 ) } function _TBSetD() { this.ChgState( gFaceClr,gFaceClr,0,0 ) this.mIsOn =3D 0 } function _TBSetE() { var t=3Dthis if( !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) else t.ChgState( gShadowClr,gHiliteClr,1,1 ) t.mIsOn =3D 1 } function _TBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.SetActive() } } function _TBUI( clr1,clr2,lOffset,tOffset ) { SetBorder( GetObj( this.mObjId ),clr1,clr2 ) Offset( GetObj( this.m_elementsId ),lOffset,tOffset ) } function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle= ft } function SetBorder( obj, upperLeft, lowerRight ) { s=3Dobj.style; s.borderStyle =3D "solid" s.borderWidth =3D 1 s.borderLeftColor =3D s.borderTopColor =3D upperLeft s.borderBottomColor=3D s.borderRightColor =3D lowerRight } function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] } function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() } function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() } function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() } function BtnOnUp() { b=3DGetBtnObj() if( b !=3D null ) b.Perform() else Upd() } function GetNtsState(){ return parent.gNtsOpen } function GetOtlState(){ return parent.gOtlOpen } function GetOtlTxtState(){ return parent.gOtlTxtExp } function NtsBtnSetFlag( fVal ) { s=3Ddocument.all.item( this.m_flagId ).style s.display=3D"none" if( fVal ) s.display=3D"" else s.display=3D"none" } function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etActive() } function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etInactive() } var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"= THREEDFACE" var gBtnArr =3D new Array() gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan= e,GetOtlState ) gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt= lPane,GetOtlState ) gBtnArr["nb_nts"] =3D new TxtBtn( "nb_nts","nb_ntsElem",parent.ToggleNtsPan= e,GetNtsState ) gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToP= revSld ) gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToN= extSld ) gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent= .FullScreen ) gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa= rent.FullScreen,null ) gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border; gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent= .FullScreen,null ) gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border; gBtnArr["nb_voice"] =3D new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.= ToggleVNarration ) gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent= .ToggleOtlText ) gBtnArr["nb_nts"].m_flagId=3D "notes_flag" gBtnArr["nb_nts"].SetFlag =3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState var sNext=3D"다음",sPrev=3D"이전",sEnd=3D"쇼 = 마침",sFont=3D"굴림",sArrow=3D"화살6= 364;",sFreeform=3D"자유형",sRect=3D"직사Ƹ= 33;형",sOval=3D"타원" function ShowMenu() { BuildMenu(); var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y= =3DPPTSld.event.clientY+doc.scrollTop m =3D PPTSld.document.all.item("ctxtmenu") m.style.pixelLeft=3Dx if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) ) m.style.pixelLeft=3Dx-m.scrollWidth m.style.pixelTop=3Dy if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) ) m.style.pixelTop=3Dy-m.scrollHeight m.style.display=3D"" } function _CM() { if( !parent.IsFullScrMode() ) return; if(!PPTSld.event.ctrlKey) { ShowMenu() return false } else HideMenu() } function BuildMenu() { if( PPTSld.document.all.item("ctxtmenu") ) return var mObj=3DCreateItem( PPTSld.document.body ) mObj.id=3D"ctxtmenu" mObj.style.visibility=3D"hidden" var s=3DmObj.style s.position=3D"absolute" s.cursor=3D"default" s.width=3D"120px" SetCMBorder(mObj,"menu","black") var iObj=3DCreateItem( mObj ) SetCMBorder( iObj, "threedhighlight","threedshadow" ) iObj.style.padding=3D2 CreateMenuItem( iObj,sNext,M_GoNextSld,M_True ) CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld ) CreateSeparator( iObj ) CreateMenuItem( iObj,sEnd,M_End,M_True ) mObj.style.visibility=3D"visible" } function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa= lue=3Dfalse } function Highlight() { ChangeClr("activecaption","threedhighlight") } function Deselect() { ChangeClr("threedface","menutext") } function Perform() { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) e.Action() else PPTSld.event.cancelBubble=3Dtrue } function ChangeClr( bg,clr ) { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) { e.style.backgroundColor=3Dbg e.style.color=3Dclr } } function M_HasPrevSld() { return( parent.HasPrevSld() ) } function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() } function M_GoPrevSld() { if( gIsEndShow ) { history.back(); PPTSld.event.ca= ncelBubble=3Dtrue; } else GoToPrevSld() } function M_True() { return true } function M_End() { window.close( self ) } function CreateMenuItem( node,text,action,eval ) { var e=3DCreateItem( node ) e.type=3D"menuitem" e.Action=3Daction e.IsActive=3Deval e.innerHTML=3Dtext if( !e.IsActive() ) e.style.color=3D"threedshadow" e.onclick=3DPerform e.onmouseover=3DHighlight e.onmouseout=3DDeselect s=3De.style; s.fontFamily=3DsFont s.fontSize=3D"9pt" s.paddingLeft=3D2 } function CreateSeparator( node ) { var sObj=3DCreateItem( node ) SetCMBorder(sObj,"menu","menu") var s=3DsObj.style s.borderTopColor=3D"threedshadow" s.borderBottomColor=3D"threedhighlight" s.height=3D1 s.fontSize=3D"0px" } function CreateItem( node ) { var elem=3DPPTSld.document.createElement("DIV") node.insertBefore( elem ) return elem } function SetCMBorder( o,ltClr,rbClr ) { var s=3Do.style s.backgroundColor=3D"menu" s.borderStyle=3D"solid" s.borderWidth=3D1 s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr } ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/fullscreen.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/buttons.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhWAESAPf4AAAAAIAAAACAAICAAAAAgIAAgACAgICAgAQEBISEBASEBISEhAQEhMTExAQE /KTM9Pz8/ERERPz8BAT8/KSkpGRkhMTcxCRkxAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAMDAwP8AAAD/AP//AAAA//8A/wD//////yH5BAEAAPgALAAAAABYARIA QAj/APEJHEiwoMGDCBMqXMiwocOHECNKnEixosWLGCEiQKCRo8YDIEHig2DxAD4LKD1avDDhgUuV GUOGbHBR5QGYFBG4fHAB58EKECJEwCfUYAWPFGAygLCRKQIIUKM6WAohKUGgCikcFWh1INWoYKVS 7SrQ41GbIhGYLAuVQVOoC+IyXUuUAkG1HE3KFDhAwkgJc5/qDZmxsOHDiBMrXsy4sePDGyP7lChT 5MULmDPnlDw5YmW6FTNrfgi0aNGEZPEtbfo2bNTUpYeeRph69dPWrqvCNFuBIGG1A59CYPAVQtwF cw0OxWdTIOiBCQAjaAB17fOFII8voGmRc+eOkilm/z9OvTtnjN4hYk1YoT3H2rnBOphPAB9skgq3 2lcaX/5YnJVt9BloAar12UEIRGCZdQghMABI1Tn32IQUVthYexhmqGGGMBHAgIfEhSiiiATAtOGJ GnYI4ogsEldicAYOGNJGZaml3Y0L3NTZUBz1xlB0PUoUI0jlVWRSVN89xBKSGB1YU1TMoRfVBEle hR9HQs1GEHxQ3RZZbveZthxt/LEmXHyp5XWABSCpaRJwbM13gAACPHVccgJFgF+NEhqUAEkQSCfc ddhVhh5dVTaEAEsTUNlkZUWKN9BNGDE6QU8OrSdbllzpxyVTTrU21Uj3scfhp7nNpyoDaTIEJ3P9 If8J2kbLNYegg9JRBwGhFvbq66+ZUiDssMQWK2yHxiZLrInKNotss8l+B5yBrr5p2UIJvortANoC 6+234IbLla/elRtZjeamh5CC3Sb0YLvixivvYkDFGlZqBNh7r4n6goVvv6/ZlCicN+kL71ALTnpQ dCIZp7CihkLA3UQmoWRBogyxtBPGCTnZncVR1rSTo5nuydC/Eo8kUH+lOoTyyvjoCuZu+PjYIKLD rZybtrM1d10C0QXKEVz48GrQkEeWdFJKlbb0UmEeV0SzyC6RvNB646LWIVjUNeC1zAFb+RDKXksM 9r531bwmpQW9+hQDDsx5pqwDRWBXcFES2hc+gEn/wJGdEEWdE6LoWcoxQweaTNmkhydkKaYMYY2Q p1unbLl/pPKbn3v7EZRvrKvqlja2ONvrtoIw9tn2g32/tQBlhtYkU+MNikZ7QYlPDPuMldpOmuJX nVo5VF3HjI+q89mteX5IDd/fVFClma5kiE4f2XUJhlz09gj2NbTDRifkmu7zXjR++RVJ/lPznuvr QH2iD6S+UewP9Dnon6d2NLwN8n90BB6hC68cFMCHoe+ACASP9c4DowUyEF0OPFcDI0ij/VXPaAKC UfhS95AKGoQ7IBRICI1HwhGaUIQoLGEKT6jCFrLwhSuMoQtlCMMZ2rCGOKShDm+4wxzy8Ic+DGIP B4cIRCKGMCAAOy== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/frame.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" A Holographic Interpretation of Entanglement Entropy ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/outline.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii"

1	Entanglement Ent= ropy and Phase Transition in AdS/CFT Correspondence Tadashi Takayanagi (IPMU) Mainly based on the papers T. Nishioka (Kyoto U.)= and TT JHEP 0701:090, 2007 M. Fujita, T. Nishioka (Kyoto U.) and TT　　JHEP 0809:016, 2008 Also I thank very much= the collaborations with S.Ryu (Berkeley), M. Rangamani, V. Hubeny（Durham), M.Headrick (Stanford),= A. Karch , E. Thompson (Washington) T. Azeyanagi, T. Hirata (Kyoto U.)
2	① Introduc= tion What is entanglement entropy (EE) ? = ; A measure how much a given quantum state is = ; quantum mechanically entangled. (A)= It is universal in that it = is well defined in any quantum = ; mechanical system. (B)= In QFT, it has the properties of = ; both entropy and correlation functions.
3
4	"Various Applications" Various Applications ・Quantum Information and Quantum Computing = ; EE =3D the amount of quantum information = ; (i.e. a quantum version of Shannon’s entropy) ・Condensed matter physics EE =3D how much difficult to perform a computer simulation = ; This gets divergent at phase transition point ! = ; A new quantum order parameter ! = ; (`Wilson-loops for cond-mat people’)
5
6	"In this ta= lk we are..." In this talk we are interested in applications to quantum gravity, especially string theory. Consider a holography in general spacetimes:
7	"Definition= of entanglement entropy" Definition of entanglement entropy Divide a given quantum system into two parts A and B. Then the total Hilbert space becomes factorized We define the reduced density matrix for= A by taking trace over the Hilbert space of B .
8	"Now the entanglement entropy" Now the entanglement entropy is defined by the von-Neumann entropy For example, this quantity is remarkably useful in a topological system (e.g. the quantum Hall liquid) as the correlation functions become trivial, while it does not. = ; &n= bsp; = ; &n= bsp; = ; [05’ Kitaev-Preskill, Levin-Wen]
9	"In this ta= lk we consider..." In this talk we consider the entanglement entropy in quantum field theories on (d+1) dim. spacetime Then, we divide &n= bsp; into A and B by specifying the boundary = ; &n= bsp; . = ; &n= bsp; A = ; B
10	"The entan= glement entropy (EE" The entanglement entropy (EE) measures how A and B are entangled quantum mechanically. (1) EE is the en= tropy for an observer who is only accessible to the subsystem A and not to B. EE is a sort of a `non-local version of correlation functions’, which captures some topological information= . = ; &n= bsp; = ; &n= bsp; = ; (cf. Wilson loops) (3) EE is proportional= to the degrees of freedom. It is non-vanishing even at zero temperature.
11	"Ex."= Ex. Entanglement entropy in 3D QFT The general structure:
12	"Comment:&= quot; Comment: Relation to boundary entropy The entanglement entropy in 2D CFT with a boundary looks like [Calabrese-Cardy 04’] where c is the central charge and g is the boundary entropy introduced by Affleck-Ludwig. = ; &n= bsp; [Holographic Calculation:&nb= sp; Azeyanagi-Karch-Thompson-TT 07’ 　　　　　　　　= 288;　　　　　based on the AdS3 Janus by Bak-Gutperle-Hirano 07’]
13	"In this w= ay we learned..." In this way we learned that the entanglement entropy can capture the `quantum degrees of freedom’ of the ground state. This suggests that the entanglement entropy can be an order parameter for quantum many body systems. Since it has a universal definition, the holography implies that it is a nice and general order parameter for quantum gravity.
14	Contents ①Introduction ② Hologra= phic Entanglement Entropy ③ A New O= rder Parameter of = ; Confinement/deconfinement Phase Transition ④ Geometr= ic Entropy and Phase Transition ⑤ Entangl= ement Entropy in Time-Dependent Systems ⑥ Conclus= ions
15	② Hologra= phic Entanglement Entropy Setup: AdS/CFT correspondence in Poincare Coordinate
16	Holographic Com= putation [06’ Ryu-TT, <= br> &nbs= p; &= nbsp; &nbs= p; &= nbsp; &nbs= p; for a `quick proof’ see Fursaev 06’] Divide the space N is into A and B. (2) Extend their boundary to the entire AdS space. This defines a d dimensional surface. Pick up a minimal area surface and call this . The E.E. is given by naively applying the Bekenstein-Hawking formula = ; &n= bsp; as if = ; were an event horizon.
17	"Holograph= ic Proof of Strong Subadditivity" Holographic Proof of Strong Subadditivity = ; &n= bsp; = ; &n= bsp; [06’ Hirata-TT, 07’ Headrick-TT] The strong subadditivity is known as the most important inequality satisfied by EE. = ; [Lieb-Ruskai 73’]
18	"The holog= raphic proof of this..." The holographic proof of this inequality is very quick !
19	"EE from A= dS3/CFT2" EE from AdS3/CFT2 Consider AdS3 in the global coordinate In this case, the minimal surface is a geodesic line which starts at = ; &n= bsp; and ends at ( = ; &n= bsp; = ; ) .
20	"The lengt= h of" The length of = ; , which is denoted by = ; , is found as Thus we obtain the prediction of the entanglement entropy where we have employed the celebrated relation = ; &n= bsp; = ; &n= bsp; = ; [Brown-Henneaux 86’]
21	"Furthermo= re," Furthermore, the UV cutoff a is related to via In this way we reproduced the known formula = ; &n= bsp; [94’ Holzhey-Larsen-Wilczek, 04’ Calabrese-Cardy = ] (In 2D CFT, we can analytically compute EE in various setups owing to the conformal map technique. But this is not so in higher dimensions.)
22	"Finite temperature case" Finite temperature case We assume the length of the total system is infinite. In this case, the dual gravity background is the BTZ black hole and the geodesic distance is given by This again reproduces the known formula at finite T.
23	"Geometric Interpretation" Geometric Interpretation = ; (i) Small A = ; &n= bsp; (ii) Large A
24
25	"Cf."= Cf. Wilson loop at finite temperature
26	③　= A New Order Parameter of &nbs= p; Confinement/deconfinement Transition (3-1) Entanglement Entropy in 4D Gauge Theories We define the entanglement entropy in 4D Yang-Mills theory by dividing the space manifold into A and B as follows
27
28	"General F= orm of the Holographic..." General Form of the Holographic Entanglement Entropy
29
30	"From the = previous analysis," From the previous analysis, we learned the behavior where c is a constant. This behavior is always true in any 4D CFT as is clear from the dimensional analysis. Moreover, the coefficient c is proportional to the central charge of the CFT, as far as it has its AdS dual. For large N gauge theories, it behaves like = ; .
31	"(3-2)&quo= t; (3-2) Entanglement Entropy and Confinement Now we would like to move on to the confining gauge theories. When the width l is ve= ry small, the entanglement entropy probes the ultraviolet physics i.e. asymptotically free. On the other hand, when l is large, it probes the IR confinement phase (i.e. mass gap). Therefore, we expect that the entanglement entropy should detect the confinement/deconfinement transition.
32	"In summar= y," In summary, we expect the following behavior
33	"(3-3)&quo= t; (3-3) Holographic Calculation To get a simple holographic dual of a confining gauge theory, we consider the Scherk-Schwarz compactification of AdS background.
34	"This back= ground is unstable and..." This background is unstable and should decay into a stable background with the same asymptotic AdS geometry. This stable solution is known as the AdS Soliton. &nbs= p; [Witten 98’, Horowitz-Silverstein 06’] &nbs= p; Closed string &nbs= p; &= nbsp; tachyon
35	"The metri= c of AdS soliton..." The metric of AdS soliton is given by the double Wick rotation of the AdS black hole solution.
36	"We consid= er the entanglement entropy..." We consider the entanglement entropy defined by Since the radius in the x1 direction vanishes smoothly at r=3Dr0, the minimal surface can end at r=3Dr0.
37	"[Nishioka= -TT 06’, Klebanov-Kutasov-Murugan..." = ; &n= bsp; = ; &n= bsp; [Nishioka-TT 06’, Klebanov-Kutasov-Murugan 07’]
38	"In this w= ay we learned..." In this way we learned that the entanglement entropy plays a role of order parameter of confinement/deconfinement transition. Our holographic analysis is convenient because we can detect the phase transition only from the analysis of zero temperature supergravity solution. Klebanov-Kutasov-Murgan 07’ showed that this phenomenon is rather general for other holographic solutions dual to confining gauge theories such as the Klebanov-Strassler solution. = ; &n= bsp; [For global AdS, see Pando-Zayas et.al.08’]
39
40	"A Comment= " A Comment Under the closed string tachyon condensation, we can show the entang= lement entropy decreases in our holographic exa= mples if we neglect the radiations. = ; Probably, EE always decreases as the energy = ; does under closed string tachyon condensations = ; because the radiations carry them away.
41	④　= Geometric Entropy and Phase Transition &nbs= p; &= nbsp; &nbs= p; [Fujita-Nishioka-Takayanagi 08’] So far we have obtained the evidence that the entanglement entropy can be an order parameter of confinement/deconfinement transition. To confirm this directly, we would like to work out how the holographic entanglement entropy changes under the Hagedorn transition. In particular, we consider the Hagedorn transition in the 4D N=3D4 super Yang-Mills theory on = ; .
42	"However,&= quot; However, the direct computation of EE in the compactified Yang-Mills turns out to be quite hard. To make the calculation simpler, we introduce another quantity called geometric entropy, which can be regarded as EE after the doubl= e Wick rotation. It is simply defined as follows:
43	"We parame= terize the three sphere..." We parameterize the three sphere by the metric The Zn orbifold is defined by = ; &n= bsp; . If we perform a double Wick rotation, the geometric entropy becomes the entanglement entropy.
44	"(4-1)&quo= t; (4-1) Free Yang-Mills Analysis We employ the matrix model description of the free N=3D4 Yang-Mills. [Aharony-Marsano-Minwalla-Papadodimas-Raamsdonk　0= 3’] Then the orbifold partition function is expressed as follows
45	"We approx= imate the matrix integral..." We approximate the matrix integral by assuming that only the first wave mode of the eigenvalue density is non-vanishing. The geometric entropy can be found from the free energy by the formula
46	"In this w= ay we plotted..." In this way we plotted the geometric entropy: [Vanishing chemical potential]
47	"(4-2)&quo= t; (4-2) SUGRA Analysis (strongly coupled YM) We can holographicaly compute the geometric entropy from the area of a certain minimal surface, just as we did for the entanglement entropy. Let us calculate the geometric entropy for the AdS black hole The position of the h= orizon is given by
48	"Since the= Zn orbifold introduces..." Since the Zn orbifold introduces the deficit angle on the circle defined by = ; , the minimal surface we want is extended in the = ; direction. Therefore the holographic geometric entropy becomes By subtracting the res= ult for the pure AdS5 we get
49	"In terms = of the dimensionless..." In terms of the dimensionless temperature = ; , we finally obtain the result Since the Hagedorn transition occurs at = ; , the geometric entropy suddenly jumps from zero to
50	"Below we = compare the geometric..." Below we compare the geometric entropy from gravity with that of the free Yang-Mills As is clear from the above plots, the geometric entropy jumps at the transition temperature. = ; We can regard it as an order parameter.
51
52	"Example:&= quot; Example: Vaidya-AdS spacetimes (we assume 3 dim.) When m(v) is constant, this is the same as BTZ black hole. The null energy condition requires This background describes a process of black hole formation via a collapse of radiating star.
53	"Since it = is asymptotically AdS3" Since it is asymptotically AdS3, it is dual to a CFT2 in a time-dependent background. Thus its entanglement entropy should be time-dependent. The holographic calculation leads to (we assume m<<1) The null energy condition requires that this is a monotonically increasing function as in the BH second law.
54	"In time-d= ependent b.g."
55	⑥ Conclus= ions The entanglement entropy can be an order parameter of confinement/deconfinement transitions. We also observed that it decreases at the end point of closed tac= hyon condensation. If = we are given a holographic SUGRA solution, we can easily determined if i= t is confining or not. This viewpoint suggests that EE is a basic quantity also 　in the dual quantum gravity side. The area of the apparent horizon may be dual to the time-dependent von-Nuemann entropy.
56	"A list of= future problems"
57	"Entanglem= ent Entropy and Black Hole..." Entanglement Entropy and Black Hole Entropy There are the following four arguments. The similarity of area law [Bombelli 86’, Srednicki 93’]= Brane-world BH [Maldacena-Hawking-Strominger 00’, Emparan 06 = ; &n= bsp; = ; &n= bsp; = ; &n= bsp; = ; Rangamani-Hubeny-T 07’] (3) AdS Black Holes [Maldacena 01&#= 8217;, Azeyanagi-Nishioka-T 07’] (4) Minimal surf= ace wrapped on horizon [Ryu-T 06’]

------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/oledata.mso Content-Transfer-Encoding: base64 Content-Type: application/x-mso 0M8R4KGxGuEAAAAAAAAAAAAAAAAAAAAAPgADAP7/CQAGAAAAAAAAAAAAAAADAAAAAQAAAAAAAAAA EAAAAgAAABMAAAD+////AAAAAAAAAAB+AAAAAAEAAP////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////9 ////DAAAABQAAAAEAAAABQAAAAYAAAAHAAAACAAAAAkAAAAKAAAACwAAAA0AAAAWAAAADgAAAA8A AAAQAAAAEQAAABIAAAATAAAAFQAAACYAAAAXAAAAIAAAABgAAAAZAAAAGgAAABsAAAAcAAAAHQAA AB4AAAAfAAAAIQAAACoAAAAiAAAAIwAAACQAAAAlAAAAJwAAADsAAAAoAAAAKQAAACsAAAAyAAAA LAAAAC0AAAAuAAAALwAAADAAAAAxAAAAMwAAADoAAAA0AAAANQAAADYAAAA3AAAAOAAAADkAAAA8 AAAARQAAAE4AAAA9AAAAPgAAAD8AAABAAAAAQQAAAEIAAABDAAAARAAAAEYAAABNAAAARwAAAEgA AABJAAAASgAAAEsAAABMAAAATwAAAFcAAABhAAAAUAAAAFEAAABSAAAAUwAAAFQAAABVAAAAVgAA AFgAAABgAAAAWQAAAFoAAABbAAAAXAAAAF0AAABeAAAAXwAAAGIAAABrAAAAcwAAAGMAAABkAAAA ZQAAAGYAAABnAAAAaAAAAGkAAABqAAAAbAAAAHIAAABtAAAAbgAAAG8AAABwAAAAcQAAAHQAAAB7 AAAAiAAAAHUAAAB2AAAAdwAAAHgAAAB5AAAAegAAAHwAAACHAAAAfQAAAH8AAAD9////gAAAAFIA bwBvAHQAIABFAG4AdAByAHkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAWAAUA//////////9AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAICShni1IskB AwAAAABYAgAAAAAAMQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAQAAgH///////////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAigYAAAAAAAAyAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAACAQEAAAADAAAA/////wAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABsAAABFBQAAAAAAADMAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAIB//////// ////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMQAAAAQFAAAAAAAAAQAA AAIAAAADAAAABAAAAAUAAAAGAAAABwAAAAgAAAAJAAAACgAAAAsAAAAMAAAADQAAAA4AAAAPAAAA EAAAABEAAAASAAAAEwAAABQAAAAVAAAAFgAAABcAAAAYAAAAGQAAABoAAAD+////HAAAAB0AAAAe AAAAHwAAACAAAAAhAAAAIgAAACMAAAAkAAAAJQAAACYAAAAnAAAAKAAAACkAAAAqAAAAKwAAACwA AAAtAAAALgAAAC8AAAAwAAAA/v///zIAAAAzAAAANAAAADUAAAA2AAAANwAAADgAAAA5AAAAOgAA ADsAAAA8AAAAPQAAAD4AAAA/AAAAQAAAAEEAAABCAAAAQwAAAEQAAABFAAAA/v///0cAAABIAAAA SQAAAEoAAABLAAAATAAAAE0AAABOAAAATwAAAFAAAABRAAAAUgAAAFMAAAD+////VQAAAFYAAABX AAAAWAAAAFkAAABaAAAAWwAAAFwAAABdAAAAXgAAAF8AAABgAAAAYQAAAGIAAABjAAAAZAAAAGUA AABmAAAAZwAAAGgAAAD+////agAAAGsAAABsAAAAbQAAAG4AAABvAAAAcAAAAHEAAAByAAAAcwAA AHQAAAB1AAAAdgAAAHcAAAB4AAAA/v///3oAAAB7AAAAfAAAAH0AAAB+AAAAfwAAAIAAAAAAJgAA eJztGltsVEX03LlLu3u7fexuu11KhUs1ppXQtFw+bAJVijWiaUFKTRQxtKYbF2kLtIibGCwQqlE/ aqro+sePkQRC4IPw2RiixGwUPgQ//GihAR8khcQPo6HXc+axL7rtdlkjK3tuZmfOmTNnzsycx9zb XvrBM3n8TM0UpEAr6DBru6AogaYlMlQALJG0Wdu2Vb9dgLyCrTCIzzCY0A4DWO+DcKopzAt+tAIl y4E4+55x+oTofjbJZC4s/bDu6reage2nncqmNsNu6FvUnIlgANNobiZtL5MxXiyVoObfiOvvhz2o Ry/sWvT8XmBJNp/JmBosQdluh72wH3pw50OoxwCeQ6fE3spoV8ws5q/Fsk46czGWuyk2MZtQu0D4 N7r7nL7tQbozTV8BHnzIpf+TD87n/7eNxvfI/92Qe/9XkMmYHPu/Rq6kQ+bxJ8f+rzkg7n+ZzJ/o /2oc5XmKA4m+nwrlyFOKpQxLCYi4UID8BjIDJu2X7IjudGQLlBfIRSn+G/K83QnnT7ZAOYHiv0/a AvlUFVBMAKjGEsCyVPYtk/UjWC/HsoLbbsGG/msonP/DDUzm3y2Y+ftgCJr4kzkEsrh/EhhFC/Nk CtnMn0vI5/lzcP6Lvv8QFM7/AZlf/9Ed1CnGr4QP+J2QssH0DS/PBqs1xuvbeMZ6GgGdGzo3iZYh WUpk7ZZ1qazLZF0u6wqd7t+ztm6INaS+O1AO6Qi9vm9waDA4bLbv3d8zHBocMK3GJp6KnumK0Xh6 UkijBX+0nN17r6bL5bwrZG3q4i7M4JevTXkfrj/oh5OvLBVbo2m6YWjsUD2wQyEsDVjMWNFXM/Bo 7OhXOrBjxbfYsSceBTa6HnTMjxp7v5n/riH5agCtV44a/XhlfJRerkGJ5j2ygfKpwUZXKdmj4+m4 kO3YduzbgeJHP6vLSHxbRuIll9QZ4tMkLJ33QCX7Dco9dGPwMb8uWkTr8goasDNeQVMt4uvyKj67 UtFEi2gb/Wrscb8ae9yv+Db66bz+Zr671/kJjfHri4NBRVe4v3dwN76P+YxP/rzuBfPEzIEGLGbT nQNjnuBZYc2atGbG7zZrjFfZ6QoSsT28kNym5cbB9HLjXqLkvhggETuk3JFZiMsFkrst1N83ZHb2 HTC3Dvb3DCyor4vL3ckOB4hiIjglJVzNOEXhr/EVxfHW4sT+j/Q9RdS/RuLkd+rup77fMukvPrys tWPHxSXUhxro04wifS3vpTNxMdUSWYB/EWYUhqjVqAUkrSTG52aT+s4aegN/vKgc34RFzKKb5AS2 zmMx8fX4c13cOInHDR09w29sC+/po8hAWv/FxAiQeq/WhOxKVqOdZ8JWbjDRIlqvQ9nUOYeyqXMO xdcbo71UpPhai5U9bnYq2xMtoo27FN8dlxp7x6X4xl2K7ym3ookW0Y6UqrFTpWrsVKniO1K6kB3W rzDeTLVDiuDKXpT9zRRnZtdw+f2K4OXU+L92+mGN/2arH9a98P+M/3OJL/h/fvn/ySrj3eemkv2f PDhb/2+uMVh6effmtctlIq+p9Txo+R/3Z2S+/ck2/+M+6YvZp/vJ/3Pp+2/l/wFtF8ebTTXDmKbL GRRlLY/99aEGU6zGtNVqtEWtJnWX6vVLfk0knCSY8QU3Ja8f5IhJrdlBc7aFFc6xkJL3u5fwDTF8 WVkyvsoQ+BynkmpFhwPXMrWinay9ikScDin8qo/wVTG820P4qRj+fDnhF2L4UXfy+OqS5PGfOpPH P7aE8PUx3NAJfzlEX+ooZho8roqUJtbqBWd8rSMaY6wrPDTc138/9/+54AsocdzEKP9kYMb9tlbF v/Fp6j8HEv+BQIvjPAWMkF4joqIHGz/9egsmfp6A2999CQ6HA5xOJ7jdbvB4POD3+6G2thbq6uqg oaEBuru7oaOjA9ra2qClpQVG3rFhyxYbxuEK2Lei8M2VGbhy8yaMnTiFM1gg/gITwRIVqIU/FtIs pFlEswVLEOlBbASRHkR60BbDIkiPID2CSATpEZuLgijSo0iPIj2KhCjSbcRtxO2omIo/QSwRLESz xfT4Y6EOFupgoQ4W6sBVQh0s1MFCHSzUwUIduJqog4U6WKiDhTpYqANXHXWwUAcLdbBQBwt1sGyk oR4W6mGRHrjntLxr1UZl+vtk/sV/vB/vnu9+nG38x32qWsw+3U/8n0vf/I3/6Xcp9/F/0puMZxv/ 0YoGLk5nakX5HP//AXqbvhSyBmrXwA0oUuBi3KePJmZqL03Xz5b5ayvrrdgqe6vp2Up5wZ8sL/on w8rMHH186ebi5UvOW70AHgAAeJztGFtoXEX0zNy89m7SJJvsJhuT9jZaaQxNY6qiH1XTmmgLTUNS P6QUTNsErzTZpnmxQjExGIpfESEFBbGgoKBoWx8IfoQi6E9rQKg/fqQ0Pj5EKyqCNRvPuWdm9+5u druJ25DonmW45zln7sx5zN25r8rnz52vuQYJ8DAYEFnyQIGLJ9wKZeDIiBdZWlrS8qUcbCjoghD+ hsGCNhjA5ykIJ4ZCWghAfvTMJdLyinT4syxud+s++sEbou6bL0QREUU6pg7CCehdkU83mCCF+30y sanCUQna/158/344ies4Cs+u2L8P/VPcG8Cxn4lNEEefwttgEEagB3fexnUM4Dl0KGo0o12x0H8e xPIuE/934NimkrkQx+IycRFRw+uauxjxEuB8z8F/A7KZ/5QD6fK/88k3F2sx/zcRkeX8l5B5/mU5 /+N6XiY2FZDd/Hf33Uz8+yGW/9qOagjVAZ33bjAhOedLkeeBXL/f6JBJvNwCVtx/KZZ+zs+CZwVZ fp//lf9sxhLVVDrbAD6rFU53nRrI3RnWK1AboN5JvZt6AKUlfdfRvZBaNNV4qv90D9T3P+rfVP/x ExDKgXog9zQ6f+ot7vOnoc+/Fp91ODbj2JKLiXUBUt2/OvHm1wtD0Oz8MofqVdx/CHL1f334Jxud +/oeKZXsNCZrIwrfzScZVgLjqiTNWkdKB+iRGuNbKGFC0jIIaxLViueN6hXLeTlbQxXj7oJS7Ay8 Zqoks4h9jGMcy8WM5IpDOsVwoGf4mUPhk3gdnnZq0l+SLUCte4fguSvlc3CXQViFbJeMEe9KHvOe FvX5zNMY6bG0Uu6HoULmjUrGiPdJkbb1e7QtY6THUtI779U8xoj3R7G27S7RtoyRHktJ71yp5jFG vO/KtO3ecm3LGOmxlPS+rtA8xohX5de2I35tO+LXelV+Or+bsmLxOj77IryD0tnJG8JwdrjFPCNf 99OJ7rFZezzC+z3tNIw8CWXd4f6joRMA8xWm/HLBB9Y7v4w14LCafx27t0bPa6h5pZp3VgQraYr3 bE0f8xH9eZT+oZTo96N0eBPRjVH6T69bLrCLGKaK24RvT/rOO2AfOxUaCvUNW22DIz3DdmjA2tXU 7LSyx7qjPCfYNNG0C35/6MJgfJ7QjrxaRJ5bbVNFpgnc0yT8eMmjvqcenAzA8UcCDm4IYZimkBPb QU7YajTgsKLD2CGhXMgX3zZAzhT+JGfuuRPk1G4wDEqkmMLUy1tjCgbukFf4Jlux/Qpu36sHU06d rXd7emUZT3uo0aNmY1qtVqV1tj71quWEmgs9ouwwjiMQtyVyYicYJc7rt2AVoAtGPm3u7mgEjBpE P+VE5qy434yPn08L4+NrOo31TWmpijnt1C+K60N2f++Q1dE7ZnWF+nsGUsR1cr6cLufo0PQLJZw/ mj7oSY4evn8B8Fp86k8RJ8fGhZSyOzw03NsPEfJL97Ct8JJjQBV74XsfJOaYkeKQO1o79qUKgOSM /shvPr8wH5/RZ8r6LrM3od74M3GxgEwPh931ZLn52jebD6SeT+9kbN5LAZriSJhr13HxVjXXrifE 1Wpd/y21er0m1u1EDdadE3XB+N4wJ7YFWdYFk0HmaYx4ds0yle6WERF7j+RK91qQpmgJexT9W4A0 LMvaqTX2O29qWZre542nvYVM6xn+FoaaQXPuc7xut+2GxHhe2epXX/8xWiY+vJbqdG93/V/b/E+3 X7cx/y+T38T8n7tO+f+v6/+K6kdy/V+b/pv6BBP7740tQfj28bXrvxuif6ap//8A78/O1gtB630r n2c3uBepXY1bwS9ibhvNGqkFLBFcxCyzohz1aYVgNHsmnBvHcNpnyv7JZ/IWtytm7PZwaAsnACAA AHic7RhdbxtFcG7PSZyzm9jnxDFpoVdAkDZK5KS8UCkVaRKkIhpKXYSqpqgpsoWr2E5ql+gekBwQ UYV4aIUIz3lBgISiVvyAqqCUJ5qXisempPCAkBqkPiCh2szs7dpn1659lQkN9Vh3u7O3M7Oz87Gz XrvhX1++3HsbyuAgqJDLt0OrbUzBh0nEB+ASY7l8Pk9DKj75JmwrOAYp/GXAgAlIYnsOzHJXeCgE oaVgc7I/+8nykKvW51dLJu86EU5vXle82M22SZ96A2Yg6kimHTRgCslmwvfqodHx6QIpfwz1T8As ruMMnHUsX8eIsO9nPTS9+MREfwLm4DxM487HcR1JtMOkwN6va1cM1J9i0In8XfiMiX4LPvfLfCJn az023oTvQNwNzTj/v0Aj459i8GHxv/bNtQMU/+303WWNNSr+JdRD0+D45/Enz7761tzY+HeBs/in /CvjX9LROU95wB77Emi9HVAa8/bvTdi+IGs68l/yIzoPyBfoeKY8T7EqzwGZ/yvZvukP2xPqyRc1 wHH+JV95ndWeVy80WJ8nSj4T5+9RPPmjkIYw/9UPoUeofwma9n885DtOGFWgVv7fCVbcPw2Vz48m /DeQVM62Ug0wZNBJP6ydZhcVqgUMBDnyEq8O+uJ7Dbo5/s0M4WUXeeXrYuA7Hk9E08ZkdN44lkpM YxX79d35vfgY4T/nb3pjKlUWAwrjFcYmUrk55z51LYgcmLvMJ+8GYoctCkVQgKBYV4ZcJPOQKXGO xSW/db0U39lB+GgB79cs3NIjm5N64IuRHhEzcSY1g7ru1pI/3tGr6CFXxcSqTrOJbmKxEpf4zwHC +wv4W37Cvy3gr3US/kMB/9hbSt/jKaX/3F1K/3wL4SMFXFMJPxGnSv2F1k68YZBtFa6dpasO7qKu WYUxFjHTmWiC5snaT/6PIFPzCg6+jYjG6Bt6g0piGedoVYrtTPasWxD1FIYseG9QCYkxT2Gelxns FZcu1tkr7kw+xK9i70vCUOoqMvOIOV44Mp1577g5i9eho1DBchU98AJa7ZKw3EB37JZlOelHWWWc 71jYlPgmI9wo4H18NyJmucc7k/eg/6p8n0bNWh644deufHdbr6pHaSRllX18/SOmcw+AW8SXbqV7 4BNOQK+1DR3KdVChMkyOTh6W9u1iv0NEp16AAbusW2OyF2BBNaLLefmuFpSVy6ua8Luy/w568HUk /u65VDoVyxgTc+enM/FU0tg/GOZX2PFIYYw7i0QG98O9l6/M2VdYLXKnGO0NA+X7F8XM7PUQjP/a zftoK1XTFLYQARUD1oO9UQA/xsPiCLAFvHov8FLpwcw2xd4M0S6eqmRnBxmzuF6Ziz8M0QhlZxn7 Zg/jIxJ/x6eU4Afb7N8/VWd5vh8WOKgkzW59mn3nN2n9oma1rI88xBSPaL2i3SHaDtF2itanwhbZ 34JnhNzdojVUKzbs9jc+CMK9A085sf9XKrCltj/Y0r7ngL6oHZQELwzx9zDx51MNUElfdYCBX2GL l/YUqSzu+keSez/IWZ9Vm4XTlk7it1PIfvGLZ+tif6gC+ych/8e6Y6tbmf+L8h49/1/zae1UgVTT o4H5f5X4luf/Ygb4d/O/NWb1aGwsKGmXg5J2OSjnjQUtXQL3N6rsG1ZuM39t1Fu5TbEVni1PmrX4 /tKjdVfnu33z/+NQ/5f7U7P+37r6/x+tj4Kgx7JtA/lgdPLkT04v8kcL6Z56h85QZUuY2eSRcLLj ydMHW5eeTfITNE/naAYjn8U8zGEeppLS+VysAuDzABoAAHic7VjPTxNBFH4zC0i3KKWWSoiH1Rhj CJIGDkYjxkYweqASSqIei2mxpu0CLWIvplwUPWn0brwY5STGP4BoovGiHPwDIMZ4FBMvxtj1vd0Z ujQUt7XID/s1sztv98282Zn35nvThQ8ti4/n2pegCKdAgbzhggbbM4aFS8E0AAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAACAQIA AAAGAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEYAAAB7AwAAAAAA ADUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAEAAIB////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAVAAAAEAFAAAAAAAANgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAgEFAAAABwAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAABpAAAAygMAAAAAAAA3AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAACAf///////////////wAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHkAAAD9AgAAAAAAAAPQKJ7lDcOgRwoWo4Zt hSHQ8ZcBDfohhfcJyBa7wrrwQ/3KmteRf7y3PGTeen3Wrvu89UYgvfyWqfRekT51ARIQLcumHSpw Rra58D0nbfZg8YG0fwa/PwljOI4RuFa2fS9GhH0+nbaLlW2pJFi59ileUyKQ67H8srXP24odtA9U 0e1q2CKoZvyTS60X/wuzr05Q/Lug+vEv4aRNleOfEQdK7nM25kL898M4TEIEZz6O40jhOoSEdN3R rGhovw4KsenEfhOWsKjLdrtg9T5AkPuAW+gV7wk1bH/I/M0pdgv9mi/sDFRj/2F/sf9UA/bvqWK3 /4V9BsQey8w6zXWri0wx1zOo78frT57LW3r3zMNfHQdPOJsc0RMA7zzqXOdnL8w8+zp1H4sW+DY1 2xrzUX9HUdvql4l+c6yDUxe9OrHf4YZmZEEaLzN7t2x5TV1hK8c45+FsOhNNgo/6Jd48AHeZNWqA c1+8YNkqfINS4itDwdD5td+QZQ7s9TEhX7rsh4cfW806zoSiqoxPh0FpZuDGWhCgBVR+qxf4NLr+ dAKLjmVUyN3YrKsHvh9/Me50/oE3OlPdEHCRfw1i5heFNATMn3O0VXj+SfE/6zjFdo6/zbYv/9Oh yKEoovMgnfUoHyS/pFxd5oB0r/H/zoNce8njMjQ70AkuotDJ6R16guKn7crcMy1PcXFZs7IAqjGO XZi1LtYmnrlX9Jq4xnMNXrA4oF2cmTwoz2PtCZbT6H5vsDO30GmCgUjm6nB2DNORQViDlYBYaTie jKa1UHRKG9KTkdQqVnq0NxaUrCTZ6GY9Ne3OSvmQKWtZl5D7FJqVhD4alRrLJn9pupSPmPMVFjyp GZWNqHL+PehTb79c8pb8Uqf8mzcUVax70dl9H14G4lcm9LQey2j945ORTFxPaT1dATOF6wuvPDMX Swol+W/GInu4I+7E5f+D/9mzoq3hf4UROcq/guRXxfnXwqdK8q/N8T/n+d/TH21w8oHfrP+r/M+Z 5sbgN/mKelT7ItGRhAAgAAB4nO0YW0xcRfTcmcvr7sKyF1iQlvaCxtQSCNj0w0Q0VCGtCbSWGmPa JqWGTdewu6W7lW5NFNKKjT+2UdHoj374UR/RPj5MjAlJSdQfJUZj4heN6I81tAk/aso6Z2bu3Xsv u8vddttA3UMuM2fOOXNm5sx5zM79EJz/8ELzVXDBY0BhOV0F5bYxxc5QC6DKseV0Om3S0yVYV7AX 4uwvCQb0QYy1xyDlvgp5IQRlls0Jw8n3hI/PCHK/nXd+8rs3Xrr+jVKFSLl5p3bDKIwUpNMOGhDF vh8vMjr76sHU/wTbfxSOsnUchhcK1q8z/XjvKYi770Wmjn1h2e+DMTgOw+zkI2wdMWaHQYm96OlU DKZfhYzfedHfwL5PZR/NcNN2fsuuFkFjPDXg9G07vQTrF4rp/+gD+fz/i/7JAfR/P9IrxFix/J+A d/8rsv87/MKLTDMU1//tedeL/o2Q8X9TrgwyccAeA3w2HsSrGV4JpTx/rwDeHfQd9F3MI3gPMCdU SDtjrsb4j/cA/Rbtj7kgALwEhCCI+g+/etkPsbZR9kuwtsFLvFgFCq6/8F4cUIugWUKR9/O/0k9k /t3DMv8IJKCL/3mHplvIfwgl+68N/QUHjBywWqzfAMLvW1i7CUq5Ya0AwFksASYUQshQKpEcicL2 ZCi8HbN+K7zOf/LBfwt/6Lw+6GDVJrbXFVEzZIPB3sFd2C6OG103xn/2h6mQJFJS4ZXFw9oWOhdi 05BKl/xiXXiXW5eQmFe6VVzNjpSJcyxizjevO/ENNYj3Wni7JnCsgP8lE8tCHz8BohKoHUpFD8dH AbZs1mLfLuhgnF8cf+i8ex/mqohc1SHS14BTfB4x8V/qEG+38GeCiH9m4U8FEJ+18Ff9TvlGn1P+ 7Uqn/ANliPdYuEYRfy6CldqD5QFmO7St+L1O7FWHysxebdZGPrP2M98RRNrhICvufmSEZhVprBKk 1QQzxkZOxUqxipg98QrBnkLwWmGvU2mSYz6Lz08OqTMBXa6zWb7ZsJKcYb2P2DfBSssyVVScyOOH geHkkX2po+w5NC93M3Mzl+W+DmkXLl/V4Qyz2jlpuWebwrPCcuY9+pt8UoWiv6dM/E8qcDG/kc41 /7V6rT/3/O77CvQ1fgPbU6vdOLbui/nW7fScD8jHFThFR8rEa6kTX+D26FmxHxxFvfsi0ZGEMTgy buyNR4djHvcTUB/nHhSTepaULr6/kylzv1U1Tvp7fic94bfTA+orqpP/13LET1j8l8oF3X1+he1j 5fn189u+M5u9b+N8gP7D99+dbb1ue18uxN43+LklLPvu9znxL3mEGLXw98sEfdWIQDGu2aM9umom 2mdi9mrRns0hWXyy9cu2WrY1sg3ItpZiXFlOU03GHddvR/iGHIg8fyyeiIeTRt/Y8eFkJB4ztnV2 8afok0PWGA8WJtK5DZYeuTi2cqWbpN7NsjWoOAsCypWzkufIoyFY2nof71NFoZqm6Kd2ApnqYZ/e RlsUFuBOX6E0QMDHSDG2Bf3UCWSXGFSTqWAbaMhOTn9FaQtkEzmJB+YcJlPtQM50W2Q5Y1BMyM5N 4Yy9/NWtken9QKYPsuVPvdNGJg2geJy0g0BQIVPnWhmx4hqZ3no/UCm4AwU11GJyvdl6r8X/v4La IGZuu19hPVOs+P9yk9aYe/5bj/9s3bvzrftuxv/c+1lf8T/f+d1O/M9nb6/xn9n76ULsfcfi/8r6 fxbzkLv+n/vtztX/bvnC6v+7kT9y1//u/PHugRC89VMD76+1/JHN2v8B6G2P0QAeAAB4nO1YTWgT QRR+M5vGZhObNmgNxcOKYE+WaKFgQW3RFj00lqbQg6dUEow0Sduk1q2KhRYRT+pRLy2I4FHtwYtQ aFG8aKF6EYQWi1db6Ekxcd7sTLJJ/zYh9o+8MLvz5ue9NzPfe282c59rFiZf1S1CHp0DBVJpB9hN bYQVKplqAJtoS6XTaWxSWEmXaU9RF8TZLwkatEGMvQdBz4fCplQLFZkzR2zQTwZCpo3udvPYltuV 3+8sfyAOZOwSU1egD0IF6TSTyhBpXo+VOUdYOQRS/wW2/ij0Mzt64UbB+j1ACfqAxL7VeWHxboMB GIIg2/kIsyPGzsEvuJuWdkUrYv14Qk2ifoCVvxtgIyWKCwwfR1Kh7OP7ibbT/5cn78Nd5v/c9Uvn /8S8Hitzdtr/K6Gk/k9skPVJK/rRh6X/y3kVYMQB6fNOWOvnB0VbKr+jTHuW5J0O8Ys4Qhyga2Je wHN2iHcxZ17Gye4nKuJvJ4v8IUiAj/+sk7eI+wfSF1KAki2oGP2lpL2sH+dI3yeCl994NazSw8oT gn0sEigfAaPFUd6LkcJBZc3IglgjFM3AWgPxijZnZpyLanSBeFjthN0NdSJnso9JmGa1F6xMMEHv WXGKMS7oCCavd+v9LB12ct1/qCbW+YhrtVGo7o5EQwnNHxrWuuLRYAwevPw1/JgVzbcyPF8drsf1 nSRG7j2tLpDjfGarbsgbTRUnj/B9W87IHSUtfBcDuiqsV/kKDbAbujx8LOpij1FCKQ3oiWQoCvUo F7PzMXiY8Y65Hx6Qthu6CI/V65G/1X8ZLNjf7A03S/tLQAXfvzAvNG09zDLtZf/baf3y/5v/kavL +X/3E2Gnr6gi7ud9u+F3Ukfk2mA8EQ8ntbaBoWAyEo9pjQ0+wL8ELgYybTxYS6ahEVbPvB7IQRkd n1EUNwUn8YzFGO8ZG2HNKh3HmEiBzNSJkS1fvfB8/jCvK4QoqsrGBkBxEz63lWWlNdjf7/krG69L k7/M8T83f4HyuwolnFpPLkW5AT3aG+8DeFerTk0tenLk9njDs/m5ypA7QVdcKDehS/6qM5d/W4l8 X4Z/VmH0F5FHZ9EOcx7FRzaPZte8VR61QtvjP5vpB1pp1dgdtH+j+0uR/r8pvrM4zMe323ZeRTTE BM5WiY/jfUSX+HdU5fY/deX2J1zmfrftni13/Dc78rcy49/Yjf5i/HQzf2rnqL6k58cTKEhuSe+v zRhX8u+vSz8Lv7/i+pb4Dp1ds77C9q18/oXtTzn+m3FohXZD/Ldq63r0DyxlarJv7r4c/+yKH7Gt tBXLmJ39Az2ZuJUy20JhJxRsjYy3OeHBZUJt8HrTH/2FUuqdhSm2BKQpDy0AGAAAeJztWEtoE0EY /mc2bc2mag2ahtLDehF6MCzWi0FE0Qgemorx6KGpJBjJo2lSS7BCD0HEUwWvHnrUm+LNS0B8nGoP ghcFi8WbmII3MfH/d2fTzdrY3ZA2JOwXZuf1z3zz+B+7Wf9w5Ovq87ENsOAcSFCre2HQ1MbMAiMA HtFWq9frRn/dRU/hGuTwVwQFIpDFfB5KVlX4LwIw0LhzjnW+xrX2it592SxbVctwr/qOaTolGTo1 DWlIOOI0QwbOzPuxM8aH6SgY/Bdx/xmYw3XMwm3H/H7kJ72n7djlp/0nRTkCeViAOJ58CteRxXuI itodW6eiIL8Htu3ODv8BTBOiPIDpj+n8aiLJ0GzLtT3RPhfdxn7av/pG/rKE9u+lSufsv0lP7Yzp tv0TOmj/jvdPN2TYvzFuCJr9AMHwBT4h5/qA/gMT+kD6S3GE4gHd85DIzXfu3n//gQv/exU9fwIK oGo/+wi24X8IS2x3Gbtoh7+T6GV+GmPYvvH9xkVfGRt+YAoz6sOoLT0B8hbjWi95Ci83SnoUpBLj tAwqhVhQtPkacsO8wmaYH0snBg/DmIiZ+DEJFSy9xaTgRPeZgQAAAIIAAACDAAAAhAAAAP7///+G AAAAhwAAAIgAAACJAAAAigAAAIsAAACMAAAAjQAAAI4AAACPAAAAkAAAAJEAAACSAAAAkwAAAJQA AAD+////lgAAAJcAAACYAAAAmQAAAJoAAACbAAAAnAAAAJ0AAACeAAAAnwAAAKAAAAChAAAAogAA AKMAAAD+////pQAAAKYAAACnAAAAqAAAAKkAAACqAAAAqwAAAKwAAACtAAAArgAAAK8AAACwAAAA sQAAALIAAACzAAAAtAAAALUAAAC2AAAA/v///7gAAAC5AAAAugAAALsAAAC8AAAAvQAAAL4AAAC/ AAAAwAAAAMEAAADCAAAAwwAAAMQAAADFAAAAxgAAAMcAAADIAAAAyQAAAP7////LAAAAzAAAAM0A AADOAAAAzwAAANAAAADRAAAA0gAAANMAAADUAAAA1QAAANYAAADXAAAA/v///9kAAADaAAAA2wAA ANwAAADdAAAA3gAAAN8AAADgAAAA4QAAAOIAAAD+////5AAAAOUAAADmAAAA5wAAAOgAAADpAAAA 6gAAAOsAAADsAAAA7QAAAO4AAADvAAAA8AAAAPEAAADyAAAA8wAAAPQAAAD1AAAA9gAAAP7////4 AAAA+QAAAPoAAAD7AAAA/AAAAP0AAAD+AAAA/wAAAAABAAAepUlmGKbixVvXS3MYDlWN+zdfrukr XCFW7uEwEitlZnNp9FkB+dPLDT88ePpz8REmRd1anA4m12h/J5n+7ntKnmGntd2mS7JgkbWV6Eqp c/g1WeLAxzLjnMdKhWIiA0Dz0ZvHcXjIjDNc/+YHnYNpeZU1XnH+QfRC9ArlNJ6hl5Vkce6Wd6dR fEylbs7nCrlkUYnkF+LFVC6rTIZUPBSAS7FGm3ZYRiU0Cb/OvMg3c9Le9XWxlutqE46/vyiOTOwu Zhu9bH/d5jf+v7ET293433/YL//TKn6May3s9UEhd/5zEM6uBrSyxJgky4yXX0mNEXsdPw4F5bvv N5vjx9Zo8lkn4wfNZ40fm9+dxw/LvOFwMBk2z0vYnndn/+/k/HeCvftvrT9W/pUbAXj88ZhtfqZ/ vrhoE38BTP41fhwNBAAcAAB4nO1Y3UtUQRQ/c66aXk1t/VpE6JYQFCRbPkQvUaR9koYr9JCBa+yS 4e6qu7atECwoIj3VSy+91IvUYxH0AcGGQm/mn5BE9phCT1a7zbkzs16vH3vXlkrbs8y9c2bOnDlz 55z5ndm5D3s+Pn7WOA82OgEapNJlUGJpY1aBaoBS2ZZKp9OqP12gbUVdEOa/KBjQDiH+Hoa43RU2 pXoozuw5ch5n0WxPiu4zVtmEb2L2zuJ7VkZMifKpThgAfzgAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAIBBAAAAAwAAAD///// AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAhQAAAOgDAAAAAAAAOQAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQA AgH///////////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACVAAAAuQMA AAAAAAAxADAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAABgACAQkAAAALAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAKQAAACUBAAAAAAAADEAMQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIB////////////////AAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAtwAAALsEAAAAAAAATnNaSQdk1vU4GdPASy2o+U/z9QdhkNvR Bzdznt/F5ye/10D4vpMxFbwEZL0dhmAEfPzL93M7QnwfOiR3y9FXMfj8RbASd07mr+TFK+u7ePm5 gW+kZNGlzaqtQDuH8hn/5Iebxf/g3rNvKP7Liclz/CM4j788x/8qzHM6LpBdxCnlfP5RDP8Q25Sx vRjEOZCyFDvtlvIlUMD5nUIqf6vL456mbO8C/buUj/zDmvc7OX/o6PFmlXJO1vXkUe1/MT9h9iIT d7mjOmjLlbSbR+JN/PkdEykhdY/2GIsQqr3xYF94AOBtvf7ixbwLJp9+jd3nxfAsxa64AzOk7zBT epnU+wiXKkhvJK74q+Wr+VelxA9k+IfFop9yzwMlVRznaXXiBipsc5m6yTb+SDBE9MYjUX8QZsgO ygz2wV1zAD3mPrlA2MYya9Y2+CYdpzrOO/1++OBgMz441Aw40bsfJz3UlhRdZyjPuNR/fTgcCQei RvvQiC/aHw4ZrS0eM51u82bagFIixbS0wrfjz4eczU/7UurU2PXsl/nXZZ75+SECHvPnnNxbzH9U /pEP2s7x97fnp9igraBYoLigPJDyO7oXkl/RXZ1ikByU8Hy3fFfJ92ZUwP/tQWrvFY6r0KzmjlDK O98g9XFP0K6Zp2aT2UueUoaqJrIAqjHkKsxaC3PLtvKMXAUmMVHsAnGqN8o7WzXnk7z2kpeTXCyG wuNIpgIu+aI3uuODPB1JmD65jGIESLsJb0h3LZ6HKbNWg73snGxTtRqM4VRGbhKV3AIquQVUcpNo xz9zLo5/3f1Bf8To8MeMrnDQF1qFf53uwLDCGIFjSZYooqGeNXgKNjx916BfsOPpij604WmSdWuk 4rXUa6SVXpajnUIvSr217IupYVTisIFJkw9lzQe4/Rdzsf8JbBnfh0lvdnzHrPhO9jN+imm69Hvb fxd5xG+r/T0zdYEeZT+tFYFNH5OCve/d0Pa5zqxrjGm6zmgZDMenNa0KoZy5xkKcd42Nkoi+Xv6R bf9X8jQGf2b9G5iv47h9/bdzXH/h/Pq986uQ/6+l7Zb/O7V1PfoF0Qfb4zqZTCWjaWNgYiqcjiUT Rm+PT6SQy0HsowAeAAB4nO1YTWgTURCeN9tquo22bmsNxcNKQVC0BHsQD0rFVvTQKqZXxSgpVkzS NtGQghBQS+1JQb17EfWmCEJPgR70pILgWZG2J/9AEPxJnNl9L12TtmbbtVq7X3jJvLfzZua9nZk3 Ly+eb3h9+0HrGyjDPtCgUKyDNY4xQQ1VpxEgIMcKxWKRhzRqRR8rCscgSZ80mNANCfodhmy5KyyI FqgtvfMa9o9ntofk7ccHnbzhdycmLn58IuqJ7qxRPnUEzkHMlU4ndEDBulH6XjVzyHWhGZT+A7T+ OAySHafgrGv9BkWEcz+rndfvWtO8EG71c7x+l4FcS+2HY37B0coRJF7OBx65no9/AF7GP7vUQvGf i44+4/ivA+/jX6GaOR7Hv+AzUJ191czhOFLx3w1DcB6itPMDZEeC3kOv7F2oaldM0l8DszFZjf71 1CKSVvPWwq95gKHygE7P1jl458oNPlYmVP3mFg1ynu8LKxte5B+xhPzjBZzr8VDsqtBP7w4DZWP5 V++DLKv8LN9EXz0Dp4eTqWR/2uweOh9NDyQTZkd72DrSuiKlMeASX3XaO+DznodDS1mhjz8FlPXX Uar8YpCCsPWpHqFF3n++4+95qsVKjr+/rV/9p8P1K9eRfB/kOx7Xg5wXuFbn+o8Dms/6dfLXP/// H6h3r85xFZqN5AgBejiB/Iw8QTsu2FM2W0/ZU+pQUXYVwJRAEmFR7SIkx+pLfEHMY67WIGrrmgZo lXcmvpHliXpMrZPYMmh7HPMEoSeaPtOXHaRyJGf55Fe0Z4C0e6ewZTfjYbhjUU14UhySY4pqwgze KfGNoeKbRsU3jYpvDHmN3zBXsLVcE5YuhMa+gXgsZfbGMuaxZDyagLF7HzLXqZnhT5kjof6EbY+w 7Nyl58VIDU8NZ+eQhywvko2fSp6je3RIv/zojTGPPLTW+dEht09jEXulXLOo5AqXdtpyUcptFjOW hJGs3Tcxb/UTFfaLSvuvuLH/ruVtqawu37JueYK1zWDrMiAwu1c5gYiRbCodi0OC5XJW2gLjQuWw F28NKF+TNmfGA+jd33vYplJZQVlM06XfL1O9M6vfXiuCmNwt+0+/hKDrRotFa0Joui54GQIvT2pa A0K9MC7R4ul7hFl0vLWtDW9tbwMc3Qs4xke3q3rrb6zfCT//eJd/7rf0G4vNPzdb9Ks7pox55Hmb f5x2epV/yP5xN/YvIf8YLLc8/xyaWUz+qYz/wZcU/1MbLXp54h8qKnH//rd68BP/LMyvAAAAAAAA AAAcAAB4nO0YbWxTVfTce7uue6v7KNusYybPETGEWAozGDGa1THjYihISQwxmZTSlZK2b6OdtcaY IQSJMUb/GYmG/dQfJBh+kBBxCRhMTJR//oWI/hUSfvnRcs5973avj268NpU47Glu7z333nPPufee r/uu/dx/ffHc8A1wwIsgoFzpAq+tj2HhCukD8Fl95UqlQl0CS6UNawr2goG/AugwCTmsj0LJqQqr whB0VO/cQ/rxk6khS+bwy/a5eurVxHu3rrJuQrxKp3ZDBpIN8bSDBpwRb27pnhuaR7EMgOI/gfvP wizKcRCONMw/gBZhP0+3dDMNc1oRWKP8yV6nhdnuwPKPjb5sK054BMwz9kLbzh8WaKX9kw2uZv/j X3+RIvvvIqTF9q/ADU2L7Z9RDFSxzw1NDyzb/yTMwTzE8eTTKEcO7yFqYW+5OhUd+Xtg2R7d8MfQ jTs2QdF1Qq0fIFB+QMMxvzW3nl9ow9oFlb8NQut8etlRt+G/C63wP6xB/8Nt/qcVYN9PC5f9H/OP RqJTVC+UTfwTumPu4dAXK2UPGhmAb4e08+dvBODUV38UP8Wih28XXw/OXKFY9DROpvoWUtEbcZt2 ht/2k5bkSwp/o7sWv+AjPFPFT3eY4xR7Nnp7Mc7T7piUZgTLXzwg1ybZSFDGOY+V8oVkFq6QHJQZ PAEfSgL6u/ZrAEzZmCWbGbNX270+pk8Yh5J6LJ3KpXMpfVs4/Iw+EeF94s3PP+h5/MfRl77ckMDl +antOJuf/H6UH8sAP2ZgSYHooaETlwSwwPG4XDheSBs5fSwUluF0Z0yfnJuXfUBPIoWExuDOc9/M 2SU6rS1+96R+cSp26e/wHq+22cs87P1nOfNvpXvxOeTXISJzObLhNGZ085BfHF4IHi4UZnds2VIs FkP5UjaeKyQToQS38q89OC8JeQjLn3sINvn+mV7p8JuAh8/+Hhx/9U2HroPsgt6DlJpTPkh6Rbk6 2SApKCktvQEprvdadb9V14N2/F8boO5exXH1jW8aL38SB0YEjSEiPpZec0SOkqZ0cdUyswBqMY5L yFaIBa2+7uo8P78uFnwBML36sPVmohfJErYuYBlHtftMmBpHc/ywK144vK80m6RXJenkn9ykAEtu ije09gAHvl9Qax22nveovk2dqm+Tz4wdNXENKK7tS2eTeT2aLOp7DfSNNXFtcWBmvYodZnz6SEx1 EmXcwnMsLwhPWPgBPi5PM2bFKr3SHD/uiKNLfINcIQJ19lETn18Y1KLO+Gzfh7kur8q/We7n7XvW hSbl7bLOgXWQdmWMVPXksvKktht1ODl3sNv9Dg7wooeW+MVQ+FOc8ItGExnEeuJjzyBIfZcziOVd 3i+D+OHmPfKfrZWfofcUmmV3jm8n9J1iVzpx1MgbM4VqrtBM/kDr3vy9nvwPhj/mQZeF6OXQjblQ Digjege7NX5iRErHLr9mzTzz7hDc2fGYbAvGhKbh3BiIXiZpIwD9SHbylVGZXgWOt/2XK/s8u4L/ KjnPf/ZqEHb+Nuj6/BvKf9v5/7+S/zvlbyT/vwtIhgG7l+v2wNp3gCDfAZcxr/BNqKD8IeM3K8gW lBWUP+x4f9g23h87YP4eG9n+F/IAHgAAeJztWL1vHEUUfzN3F+w958MHJCZYaKFAQgLLYmlASmQb HInCBsXuaOKgG2GU88bnC9ZJKRxiUUABJVOAQAIBqQiiiGi4CClCaAD/ARSOnIomREGiAG74vZ3d Y1lsfD4sg51763cz+2bmvd98vffWK9/3r75/+eh1ytBxylHT9tK+lEyAZfJyiCgfy5rWWhblwLZL u4pOUoinRj6N0xzKKtWzR+Ef6TAVWnvO+y+/cyek4ZpPpPueWvviyx9+/Fp4qI/kkzP1HJ2h8pZs psnDiUzPp50xOLp0T1wfp3k6RzOY+SzWYQ7rMBm/vdIWKr8D+7xCj8R1QU/DboXOYh1O08vtDP8L lUiK5F62a59JxSXf79/XORd8p4vk7jbTXal6l/YO7eT9H2m83eD730vbev9Fej7tjNnm+y94Klux 30P/7f3nO5/c/wR3gZwfaMacpr5Uv/3U9QN7iZKzw3eXz3Eh3t/E32+2192zsLtJxv73eXj+Mi3Q cPS0TwMd5D9M58UWjGxCndjfTrrD7W85/rLP6O7//8N+NRzE769yqene34oCQl7Soal65XR4huiB A94bn18v0ZUPbi5eBfvDtxYL/WqZo8VjyD24/Em4rOZxb0mMSVZxLOSvvIf3HUSGxrjcdjtbpahv bGtJSCmn6gu1coWWWS/ndA/S663zsbJWImeLYlsiilbr0eTo5LNcarAhClAE+AmQ7QSQBSyzLvlR kCuF/Ktpc55bw2zuegQ/E7MvVsOFUNX88flzM7XZcM4PhoaJU6Jnploy4k+l5GUooJ+f/Gw+jSsA DAXWYAO2DhIw8IpIuv+r/XFP/8Z9NPjJ4aieEyLneaJ0cYI4USyiNkrUT5587RjJC9PgKuUOupYx 17J8NZdIalS6GBKXUcsFpKrMrz5K0fQ12LT+f9NpHO/G/91PSe7HZ4Hfk//xPYHKNxA+JbgNX225 d6LTOhi1cqbYK5Oa+wrhmpBQEdWGxEAsK7b69cn3BMEDON9wNP5m4S+yBmrXwA0oUuBi3KePJmZq L03Xz5b5ayvrrdgqe6vp2Up5wZ8sL/onw8rMHH186ebi5UvOW73pqxcSD+K81CkxEs12ot6BlyLW l/ZSPHJl7W7KesTNvBQj2Rn/w375fIHBVsPET5+IVmBn7G+8/1n/9+m7R+i3j9bxf/9i/68U1bXt 3H/Wl93/nl862/9V8W2elYzF+7IqjkdzGv1bXBaZuHz7gPfQxnH5z1iZ7PdG+0+yJ4NvIH8vKYRL pQOwAiNWaAO2pBBClYHcQGYgM5BxSLWQWcisQeS1eAxhGGnEGfeYKCprxGP0QsnvlqAeDBkCooZR DQMa8VHDtkajhhKtWRdksK0j25DDvoZ9DftoAqM/y4FBA4O2jIAzgQCliqwzMqglAwwG9gywGeAw sIehYOhATmCAwzAOTAxmwOgPLAZYDEAYGIRpMOQYaNDJQGCABX9g6LGQA4vh9YiwBJit4hnDHs4M MFhgsMBggcECA4aAoRMYLDBYYDDAADVg9AcGCwwWGCwwQDUYcmCwwGCBwQKAhX0DZRYDLTopxXuE fbRsg3VzH4Xz+2H796+b/+3V/E9Shrr3/865/38Ayp+BKO9eO2iGABoAAHic7VlBaBNBFP0zm9Z2 W7BNS1NiD6uIJxuq9aIHqWhFD0mlzcGTJJUEo03SNqklt4JQRDyIB2+CnhTxUhHxIhaEoh60Bw8e PFhUBEGrIHhQE//fnWnWrWln02BJyAvT/TM78//M//P//Nkuvmx/e3POvwQOHAQN8oVmaLS1MSxc VtoAmkRbvlAoUJOGpVBHVWEY0vjLggGDkMLnJOScW2FNdEHDis1pb/AX1g6Zt14ftfeNhB89fvPp KWtAeobLPTUEYxBzJdMOHXekfT0qY5qxdIKUfxjXn4RxnMconHUt3wuckQ/Iva86Li6egzABUxBF zSdwHim0Q0jUzitpxShj/aT6XkFvwfLbNp58mXw+L+g6ahv/0/8Hhq7Nk//rVNGstgr4P7OvR2XM Zvs/nZsV9H/mgeK5qyK/BYr+L8eRTuxxQELGARpTjwe1B5m/rWXbut1rFwytr+lWHHDGbh/+CSZO T6Yz6XjWGJyYimYT6ZTRH+iDVnx1ZGSlMQAyAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgEKAAAADgAAAP////8AAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADKAAAAXwMAAAAAAAAxADMAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAf////////// /////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANgAAACuAgAAAAAAADEANAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAGAAIBDQAAAA8AAAD/////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA4wAA AOkEAAAAAAAAMQA1AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAYAAgH///////////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAD3AAAAowQAAAAAAADNDCmyEuiH7/vvTfwdcxhFXe0ZUPbRY7ZQFtjMe8yWbU/a Rb+TYR/cXfaZtMaYpuuMz/Id3gtB630rn2c3uBepXY1bwS9ibhvNGqkFLBFcxCyzohz1aYVgNHsm nBvHcNpnyv7JZ/IWtytm7PZwaAsnkrGMEYpNG8PpZDQFt+8sT89hMfq+Tfs74xGKsb3Mit179Qj7 Yt58gjknP1oO8RvJJUfTYwBTPv3c7g8dJfgxoOdXG999Jt8HOV3MXgfLSgRLltfsK2TNqOm/tP2c +n99yg+/bnX9W/+o2eco9QCT9rxOs+VNjvOFLGudikQxTiYiKsC6RVsLh5W3nI/kMtlYEiKkFzrR t8MlJnkd+9gBUveWrphMHVYhdCh0HBTs+bAlvuC054Cwp6rebfMG4mefN41s+iHnXbTxevOuUrjO v+g86V2/mzLcyq80qlm+/KZDe5P2Kfkk3f/oXkh20qGYH9TzgNoDF/evE3jzi0EGT0j6qaO7jO8P hFds/T6qKEd+JVHN8mmM9H0m6vIb73skPmPjVVY6f5OU6nm/Gfnb5Z1xT7n528Uufc/9pY4S/Dae v9nyCA/xdeY/i+/c5z9u8r+N5v/M9i8BCTf7QfX+UGr9ru4P9fxvFf4ATkeY6gB4ARUAgKEfAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASAAB4nO1YS2sTURQ+506tzSSSdhANoYsRwYVgiVYEN4Wg qbhoDE3BrakkGGlmmkcNswvoRlfqPxDFpaAb6y51UXSjLvoDKhS3VnQnJp77CkNKZUYCJSXfcGbO 3Mc593Eed+bL56ntZ6+TX6EPc2BApxuBcV8ZEjH9MglwRJV1ut0uLzKIuiMMFf4QdQ56ECMcGBbB pasBNmTAoWcNvP5Q8E+coCjglxekTydgu6AIq3/QGGb9g9x/nhvYJ5kh2rJ63t82d/7Y2Wu3NlHk FEOWIdyAFSiGHXYPJjAMO/8o0XHQ+q/Q/CuwSuNYhruh9Vukn+dAnfuC9IkQlRTP1PxztPJFqENK XMGRUPMfC6Gfj3cLJa/XjffXuYDTUZB+OsLhRgaqsAYF8vwy+YFDcSCr3u4F8kqbLNgvL6jdXgra MAD+R/8gMcz6uY/ziM3jF48B/EzP4zP3/wlVb6rnKB4cPkwDz0E/3yeVPeyuJ2DrSULwBqJhmsge bBhGHCGK1v00wFTPdl6htD1tO6hsUX8jXiTmJtFT5HWU9YyPQtu0qOWWFmGak1lUfFEyEiG4GUyo smivXYzZDJhF3JnxOCRVzqOPUWgT95KoTYI2UWZ53iYGC4XGnSVvlcJZTuj+zWzlJ4+F1jEGk0vl SrFuZ4tNe9GtFBxYf/G9uUFkp340n8dLDp/fOZQ+ccHcxjnRM+1Jea2OTx7j8vJeZdldAXgYN99+ 2LH2kYdi3XZ7cls4L1ax5plq9KaYoUzWUpcl2nJddGshYyzv1RvFCjhcLj8RnYJHqPdo55sFeuxS F+qj1x5k09nr/Dlx+l0sqD0gRQbDVPved/Y7SbeF8u2aW3dLDTtTXSs0yq5jz86kaFMAruZ7ZWKz 9MvMLPy6/Ka6zyD7gL5fEiOEx198hapoAAAAAAAAAAAAAAAAAAAAAAAAAB4AAHic7Vg9bBxFFH47 e3bOa2PHK0JOEYKFggIFy2KLiMJWbHAkI8Wg+Doo4qAbxSjnjc+XWCdQ5CQWBTQUNFMiEfogpNDh IIFSDCEVdSKitICcAhHh4Xuzu8768CVr6xxh5+b8vDNvZt73zc+bebu3fhm8/eXVQ3eoKY2SS2um h7ozOifbYD/ZOtatGWPSetNJuyqdoAi/OgU0QXN41qjRvBUemZ6jrvU1d1EWN4XVr8TVx7JtA/lg dPLkT04v8kcL6Z56h85QZUuY2eSRcLLjydMHW5eeTfITNE/naAYjn8U8zGEeppLS+VysAuDzULaC 3w9ZTPIOvQncKp3FPJyiD/N035B84LPfiYRDnj59EJnkPcg/m+yLtU3K3O8Ziv29k/ZGaqf/8x58 lP8PX/hxhP2/i9rv/3z28DNPn3b7f/bey4PPM9RG/99w5+btl/p/2q+H4nOAfXtfoi9S7Osdf9+7 KY3fXNreud7ZG7s7OVh114v9vfnsPoh/x2c/qEULkawHE/PnZuqz0VwQDg3bEOKt6XUdcUiXFoZC uv/GN/PZ06bXGuZzv08cFStFH7lXugfoED1vz8PVH95LWt44cpD6vi/ZvOs4ruc5Yvm66w441Ov4 l8eIBskTn4yQuFiG1CitGY9rMm3r5F+OiJ+25iKOapZLh2HaebHIO/9wg8+4170lZ34fUwyCtHza 5XK5xvweiCA5Vz+3Z31B0P7ybLWyEExVFoMTUXVmjr776vfF65Bg+M/FSV9e4+vtNbTm5x/o1GPt 3nbe72ZPq0f1SjHR/Fxgm+NRWh61GGNRjLy0lkEWjDzdqJ6KzhBd9b2/b9z1WyBTguxQOqKPu9hu LUrLx+z7Who7MqtCskb8Xsd3ALdk3hwj9ibnQxr/DXTuhj2Rav/ZZ9S0z5YHvVdb77OHOzzdV+OC TYxEXuLjnj1b4m8HMZZv2yZYS44QYrqxUK9U6Rrb5f32En26/rHh7j2fmve0S5unqbGpSX4qiCYK 8QjxL0S0E0IXss7EwY+EXkp6MudfCBoSoiAaYmJK4NB8/v21WqLyzQM2v4PnH4avIJr9XxSbZrFU OEAS0yVVCJEQtFUaYkhiCqWGXkOnodPQ8ZQa6Ax0RmPmDX6a0I0UcOKftquisB5ohSeXDcE8BDpM iAKoAoDC/ChgK1QqGFGKbUEHbGWxoQe+Ar4CPqogaM96cFDgoAwz4J0Q4iktOjODWdLgoIGnwU2D hwYeukJgA3tCg4dmHhgYYCBoDy4aXDRIaAACGgI9Omo00lBocMEfBHYM9OCieT4slxCjlTxi4GG/ gYMBBwMOBhwMOKALBDbBwYCDAQcNDjADQXtwMOBgwMGAA0xDoAcHAw4GHAwIGOBrGDPoaNBISl4j rKNhDLbNbSS87EoLP9payp4nedrznfGraAv0tvDbnXYzvkjev9/Fm3+FFmjY/vKn0jbfPzvr///A 5z5p7Jd+x0iX5gqCv49Q+EJwHQru23xd2DsrjhR71uP6+CsI5xzBNDg35JQSXev4P+bMX2RWkPsa soTr6J4TR5zcpo+Oz9RPlxtnK0QnaZNo5bHxeNegXE4jiDRK2cn4/yHeTsb/q/3ey9/e8VuONF/8 //j474V+77PWOG2N/5bZbnP8d+u3pyn+e0Lvvxviv+ZZ7MR/T0/89y92XWnl5N7ofCL2ZoRxzoOJ WDwchSnaB7rDrYMAHgAAeJztmGlsVFUUx8+90xbntbZlVJw0xDz84Aeik0b84oeSFiyBD1RD+eIH I4XMQA3TR5mBcUJiapo0igu4AQEAAAIBAAADAQAABAEAAAUBAAAGAQAABwEAAAgBAAAJAQAA/v// /wsBAAAMAQAADQEAAA4BAAAPAQAAEAEAABEBAAASAQAAEwEAABQBAAAVAQAAFgEAABcBAAAYAQAA GQEAABoBAAAbAQAA/v///x0BAAAeAQAAHwEAACABAAAhAQAAIgEAACMBAAAkAQAAJQEAACYBAAAn AQAA/v///ykBAAAqAQAAKwEAACwBAAAtAQAALgEAAC8BAAAwAQAAMQEAADIBAAAzAQAANAEAADUB AAA2AQAA/v///zgBAAA5AQAAOgEAADsBAAA8AQAAPQEAAD4BAAA/AQAAQAEAAEEBAABCAQAAQwEA AEQBAAD+////RgEAAEcBAABIAQAASQEAAEoBAABLAQAATAEAAE0BAABOAQAATwEAAFABAABRAQAA /v///1MBAABUAQAAVQEAAFYBAABXAQAAWAEAAFkBAABaAQAAWwEAAFwBAABdAQAAXgEAAF8BAABg AQAA/v///2IBAABjAQAAZAEAAGUBAABmAQAAZwEAAGgBAABpAQAAagEAAGsBAABsAQAAbQEAAP7/ //9vAQAAcAEAAHEBAAByAQAAcwEAAHQBAAB1AQAAdgEAAHcBAAB4AQAAeQEAAHoBAAB7AQAAfAEA AH0BAAB+AQAAfwEAAP7////iAiqKdQHZVdyrccENquK+tVLrglo218qM97z3fzOvz0Le1MHQZs7k ze/e+5Zz73nn3HPv6947vmf9tqpecslU8lEq7acSR5twXlBJ5jluS6XTaft8uiCjSuaQoX5x0qme WhSXUtLtCieUCVSceedS1eUeabZ3WadnOK/VI4NTZ817XZSqcm2R7VOX0mIK56TTKRrJIT7n5R5W fSbK9dRKy6hJjbxZ2aFF2aEBteWeeqWTFD7K+r0X/RXqWIGyoOlKb5SWKDvMp6u83D5EAkq/wJi8 6j9dHRGUx6nj2DB+kcLhlDLc624vyOiVfMY/x8GJ4r/6mtdqOP79lNf4F87xeLkn3/Gfq/6TEf9s da/6nfFv95ttwvOAO+411X4aFWJ+rErODjeM5Po89qXvZT40j0x/vmU063f7g5c4LyfrHVZSYV4Y 7WLnDs7dxXifvK/jdSHP+5yrOQfwmr0M5wvvf+yIxPrrMrXyC1OMqs2fdwmOYP/FUpj/Tw3955RH Onjtd4Gw1sUH1WqS4/5CrU28MY5nh5mGXZ9cNLQ+g6z6RPU/KNtS1hNXm1NKkaTKxmR0vrGYaFKF dv7uvgDt2jCQeFkdevWhRFavgF7K6L28hB/xakbPYcn1GoPnofNKKtR8xCO1vkZZugPmvdDdJqSU jclYPBylDtbDM9gkWpn5fNXXHyD3mH3HsU9DXcMsuxyBzy4EF0lev6fSPs16B+69z9nqb3bzgqVG zIjE9frWZU3xZqNFnxKqNqfSSxozbeb0aldCU+joxdtb/92X5dCbAK+W1vglHXnlSlwT3Beki/ac ZZZ9Qvg0Tcj2meSrEFQqAu1xCrQbxKTxpMmOGu43j53tYH+/s0NzoerlClXpNMepMoGvUbC2ieZZ zhZ+aZesXQiXhGQ35FJIBNFWmrmuTNbK2tIA3mQV9iycSbpUqZNryhb9wso4fE0ZzW6KL5qbXKK2 Y/NoGF8j9rW5zdFwTG8IJ/Q5RrSp5Ti+lvWxrRrfGkoKK/2NWPx43mY/W1HX9bDVQz1t91Dk1EN3 NPSIYj8/YZpu12PFXK/T/agnzO9PcSMedtvGi2blC1nvqINXrDnX2TrNar1WbXUzR4g17Ibl3gTf At8G3wHfBREetBfsBt8D3wc/APeBH4IfgR+Dn4Cfgp+Bn4NfgF+CX4Ffgz1gL/gNuB/sA78F+8Hv QDuH/QD+CB4AfwJ/Bn8BB8CD4CHwMHgEPAr+Cv4G/g7+Af4J/gUOgn+Dx8AUmAlwnxXvYz3+B8oj Vad2/Gd7+H/Hv9M2Jyv/rztDu2Jnb8DjiPOa/6tYjzv/d+8fu/m/ctUEWrsxaJa95P//Mv9fB6Nd D64EbwBvBG8CbwZXgavBW8BbwdvA28E7wDvBNeBd4N3gPeC94FpwHXgfeD/4ALgefBB8CNwAPgx2 go+Aj4KPgY+DG8FN4BPgZnALuBXcBm4Hd4A7wSfBp8CnwV3gM+Cz4HPg8+AL4IvgS2CX4j8Pbf5L OemS7Vs6WXmXacaDkVggEVJyJ3SSM5JO2XZX0B0AHgAAeJztWM1vE1cQn/c2CcnGELMESAiHbZFA bcFyk1LgAEpUwseBgHAkLggIYAeD7U3WDsFAi9MiBD3BiQMH4EBVjlT8AYmQCgcEOXDgCEJVj1CJ GzTuzL7Z4GzisDFuSMBjvfzevK95897MvNmMPl787OadFc/BQ1tAg7F8HdQUtAks0mWC4PRR21g+ n6cmDUu+QvOK9oKFvwyY0AkpRBuyXlOYlpZB9fid0/3LR8pChlX3tsKxweADI6M9ELVYb692bWo3 JCA6I5mFpKNFFurjZ04jF6JO6IcB6EHN43gOKTyHLuZO+tqVWYJ8OqFbXBfwA8pNQh+ew2E47mf6 BDJACtcv/conijFWYfm3YP9jXFyqw/56XruwvUKfBs2m/w/vPttI/q9DWf1fFOrjZ06Z/V+QD81E /mL4uP7fAO/83933Apg+DgR47EJQ732FPg2ascFNphn7H9nPz1oZJDOVWZ/PSr6bv9N1VMGH+3Yl Nswvct8O9/7pWabvOnoxADYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAQgAAAAYAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAoBAABIBAAAAAAAADEANwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIB////////////////AAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHAEAAOgCAAAAAAAAMQA4AAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgERAAAA EwAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAoAQAAlAMAAAAAAAAx ADkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA ADcBAABsAwAAAAAAAA8oT6f8j95rygHpDaD4v4jtJMhoIC7heuX+5xdJzr/2YOYXhTSEnZ9/airh +4eoEv/nhnyBXqvpag1v7r4c/+yKH7GttBXLmJ39Az2ZuJUy20JhJxRsjYy3OeHBZUJt8HrTH/2F UuqdhSm2BKQpDy2iiLG6pgFWwEqg+NNy7xKPHH3bBE9Gmpy6JoSm68L4JQJag4B6rHVQ9qzLC5tB XjC+lEPdIIdsb+8QJuXnR7QpWocSWCwsvUVHeEsIN2JSJGzVc2J9LcVL03L5TTUT+W+qSNFum7R6 I02+jctOho5dwe54Mpo2u6KD5l4r2ZOCi7dfDl7BYob/GTzdHAtTBF6HowlfCRWBW/VnoreeVuiw Xf7qgon8teqJ/CqheLWP3Fhp+wDehwBXv3YnX4hMta6kdSPZ5GErgTe9XH+49i/Dp345Yem0rm27 /PUaxXvlgEfOV816oLicyfuPaLTEunE5ayTxm22d7VF3/EA40pRsw5nLsnNCShnJpjPRJIRJDr2N X8CvQnkSwI6/DfDqWCzQdXV07VS1b/mfqq2MbYzfMa5n/J5xA+NG+eH+S/Pct580UG+Coqf4obgP mXaN+jAT0G7QRTsno7y5btyv1Vco1YSkMES1kGjituL+r2IWZRLDWPsNi4npxZ9CZRw0JgC7ejLH urN9+Dm+B6awiPda9NdGrMW1CPfm7y+kqaGsznx1gHZnEjk5D7VdqqWTSVi9s+L/73Y5m/7vL36z QbFhbGfcIWFS/P59/zJ4nW126nMmfvN+DzAeZDzk+A/IWo+eR7j/KGOUMcbYy3iMMc54nPEEY4Ix yZhitBj7GPsZbcY0Y4ZxgPEk4yDjKcYs42nGM4xnGX9k/InxHGMOcXpvKTX+L23Wb999bvi079Lj /71GPVNczv8a/1tIjjf+j76Yb/G/3P4/J/O39/i/V8/Pyf//A/9U5JGyqQtwDXRXMu1QgTP7fJz0 2Y90ECz5p3H+KZjEcVyCq67lh1A+2T1Nx6l8FSkh0wMwBdMQR80ncQAaAAB4nO1XTWgTQRR+M9vG ZlNou5U2hB5WFG+GYEXowWLQCEUaS1Ow4MUoCUZM0jSpIbdAbx5EvAsK4l1PHlsPBT1oDx56jChe VfQiYuJ7s7PbTZS4G1do0/2Wt/tmdue9mXl/s9tvxhqPnkbeQQdmQYFmKwgBWx9D4mZjFGBA9jVb rRZ1KUgtH/sKi1DEqwI6JKCAz1WodbpCV0zAoGVzsj9/bXjIhvH6gv1bfebVmbmrWyxgOovwn0tw CzKudNqhAmf29TgZE0I6LPkElGAN0rjyHO5DAfchKVu3Hc1K70G/inRa8gzOod48rOA+XIObToa3 QUP9Zlw61T+ElLXxP//gF6qU17SRj/6Dl/FPPtgt/mNT32cp/g9Rw7v4b6s5TsZ4Hf/2uudszt7H /wD0Fv/mvAfByAP2WA9Bez33c0D/wawdivQh8gOqzxSjZO+gfPo1oD/BZf5dwMyfgTLExOUc4R7y L+Etc6HkL+hFv5fYz/ppjBn7TLbNf7wxZC4j3Wf0DjOB8hIoW0yJt5QpgtzkjCpEHOM0DeKiLCz7 QtZ3w1znDaYhdzwwAhFZs/BnEjaQe4L0EAVtMaNK0zfDMJ+u3FiqrWA5XhC6f3BdrvOeUfs4jC7l 8pmynsxU9cViPl2A548/VTeR9NiX6oPx7DKt7wQzat9JtcGOipHxmiGv3uxNHhP79tmSW2dnxS6m aqqcvSpWaDi7oUsT35IuvNUZ5zxVK1cyeVgmuXQ6OAJ3rOj48FEDc+6GLmYenX5DMp6cc2f9g2H/ zfHsjpf235Xnqf13SG6n/bff/1/7ewG3+YfOEX7+3xv6uxwNBPzzX3+DoXUVVeb9jn/3SbzN566v FsvFbEVPlNbSlVyxoE9HY5iUAc6nrD6RrM1GdBq+zTwrOfM/yokcvr6IyHb4bhiOXZwQvMKYoqpM W0+BMsIghFwcq1LbeEwjfMit0/uwsNfsD+uTcOqKO/v/2w4cbPwCmCpABrLUZm6lzFO4uJFyZCFS 3Swiy/yldgHezwAYAAB4nO0XS0wTQfTNbKGyBYHaIBJMlmi4WYicxGAwCuihxQAnNZFC2lhDW6CL ZKOHcuHgSc8exMR4NNFw8GTQi5zUGBIOeigJ4eJBTPSiofW93dmyrbQszUZF+zZv583bmXkz7zv7 7m1j+uHTljUogDMgQSZbA9UWHkPkZqcBwCV4mWw2SywJMVuBfQVDkMBHBQX6II7tNGiFrlASmqAq Z3PyDf7G8JAl43O/dWz60/3V+pbXrIa+S6ZPDcIEhPck0woycGY9j505JN8HpvxzeP4YTOI+xuDG nuV7UT7FgOn7duZ4ECOC7oMpmIEQaj6K+4ijHYKid9OWVhSU74LtuLMjvw5xQNBuxK0ivpER6BHr Zxz3vgr8aXAy/skPS8V/6rTykeJfBufjn4P9+HM4/vNqnp05Dsf/nuVT/A8K2pxXBUYeyFjQCtVQ qe3/Iph3OgpHil/yA7I11YUDQPFl3O8IawV9ULQV2P/ARf69hJk/DEno1B/70FzG/YfgNt99jF2w nse5Vf8P+RTf7dX12NJspvNaEX9wrx7/AHeJmWKc82EtqYZj0DFwJNJBM9vgDtn+F0v6eC9zV1Mm OcTb+RWd8vHLsOU2eVtuQ0YqQ+NJwPqGV88/J3BFajeZ4VM7QfBs8CK1J+UFHJ3JSrKhg8K7x2F8 BaLj04lkIqIqfVMzITWaiCtd/k6gVHZ+OMfTS7LZ8XfB11PPpqwSi+uHaA7fX3WJkcsPmmDlXrNO S4xJssz4XAD4fA/wuSGQ6hl4kKMCNILM51eRG0TEMj7nLzwfnRB4OyM9qAk1bNUZ2YV07+LQMKzF xhITAC8a5ZXeL154/ujz7EtEpfPL7Adv5JqhVy70yvR9k+76UfMOxH9Z/ne1Ev9/hfxK/a+AaXsm fMkMzTZ0gFvYaeH0Df+apDo93bfqX8lTarhJGbcAohjHJXTKz5oFz5MbV8t7+ajbC0bVaRF3hgbs LyH1GFFB19tgxl8SjamFQEi9PqJN4u/QKBTmQHpTDhyJxsJJJRieVYYSsVA8Lwe+90WOGTkQRO5L sW9VNDWomf1WifpDuX63ro2AZshTsuXJ265lxrppdsFFS6jaDufIy+Uun+xZXPMWPUd+Lk+xNX3d xdz+N3V79Gi71fdS9n8i7N+ds/9RR+yfLmn/BcftT/eVQvv3uWmqP6cvSe8r2u/wj+39lO8f403y 8eV1b9Fz2vWPnzFqP6+da6R3XpiZ96hlmyDYRFFwT4wCm2wA90QA2Li0BdcgdyJ3cbkfOY6scDmK LAAaAAB4nO1YzU8TQRR/M1u+thhLRSTEw2rQk5JGvKjBpCgmHqiGNtEjhbSxhrZAi01vaAJRY4z/ gon/gIYYb6IH4oFoj15MQNGbCtGbofW92ZmybCjdYomh9NdMZ97szPxm531Nm/vQtvT0edcy2HAR NMgXWqDR0sewcCV4ABpkX75QKFCXhqVQx57CECTxkwYDBiCB9SRk7aawLTrQCtRaLrKP96aFzJuP r1jHLuVu3AwOLzCyqWlN2dQ1GINIRZxW6MAZcXNpe07mtGBpB8V/Cd8/DuO4jxG4XTG/Fz3Cep5O 50UrZioJVik/+Wu3dGQ6i/Ut7EIH8zzzllJH7aGa/k8mtZ3/50IP2kLo/01Qff9XcDKnyv7PKAeq 3Odszxv+PwATMAVhPPkY7iOBeghI6Y6jUzGQ3wUbedcJfysWv2yrebQGxQGrr7thcz6vx4DaA5f+ dx09PwIp8ImPc3TuMP918/JjnGIn/NXEXuZXd3qKXxQD6E5P9zOK0c1g3hWouGX7gKzrqA0w1Kam mzZkz91H8GswNjqZTCWjaWNgYiqcjiUTRm+PT6SQy0Hso3nKdpi0ReXaFzDRfsfOz4yeoaCtCWs7 Kp6SpbVw1TKzqPhFyXEJ0ephnbLPXRzXyufZcLMXWycbD0KXzLke2jW2FrAYaLazuJhbjmmFwXD6 Vig7junUJ7j/8Om8ucMnRAouDp5QLB5JGYFIxhhKxsMJePXsZ+YNFsO3lvl4KLpO73eamT5xRh9m jU00NZBVcr+L5P6i/EOchj+7BR8nvmA2PpIcA/japne/W/GW4GPiXFctvI8aaInFIo+pE/GySkE9 vfD73IsJq5fvb/3NtUdndkt/n9r1sbllbwm+8vq7r5H8siiPcJL7ivJZMJ/r8jR0ML2WYO7NK9aW e5tmnPNgNpWOxGGG9kG3zWPwkClLyH3xgjoLqpug9H82FOfJUPK2vjpqB9X4/aHiBsHBFGGv/rKj nMP6PlVcdl/wUwzh8OvtCSkbmQ5YXDws2hpjmq4zPsuP87t+4LN9YLb7sb6HdUDkDN5sW7OSfLCL 8W+d8qg9/q182xz/QPKcFzyDFfOs4ntqJc424A9cpVrlgHLj/gec7L+c/u3zKtH/v94/nd1/Suvf bv+e151w6nGHaDuxf9jj+v8LsCh7+UnM3ojtSeSmsHQi/IgzHaWSTD10ABoAAHic7VjNaxNBFH8z 28ZmU7ENQWPpYQURFAzBgmBBrWgKgonS9CQeEiXBiPlqUkPAQ3rx4EmPIkIED+JJRdCDh+ihB8GP g39ABfEmKnoTE9/bnQnbmIRNXIkJ+wvDvJ2vNx/vN7/dvHs7vXH30cwHaMERUKDecIPLVMYwcfkw BeAWZfVGo0FFCqaGg6HCEmTxVwQNQpDBfAXKraHQFdthvHnmFBv8jREhNaN60dz24eHXZ6OxdUYx VeEypk7DMgAwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAYAAgESAAAAFgAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAABFAQAABwMAAAAAAAAyADEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAFIBAACGAwAAAAAAADIAMgAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIBFQAAABcAAAD///// AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYQEAAAcDAAAAAAAAMgAzAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYA AgH///////////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABuAQAAcwQA AAAAAABlSPTk0wwVODOvx0ofilsfSP/Hcf1pyOE8zsOlnv170T9xQMa+lT5bMCWFzcX6z+DOJ6AA Qf1nHX6x/rEe/NN8rzLDpn6/TPtXF4nmWP/n0edg0LCT/8SBbvzXnt8+R/xXwX7+03CUW+ljM/83 aZ7Vfnbyn6jcL//lvCdg8z0gIe8DDzj3wSgiBHlYhTgyP4U8yOA9EBFPVyyxUusz/vdabWgB/fi3 E8PsnzhNdyfd3XSHjGNyifIJkTu8H13MAmnQ95dbZUA89cP7m37dVBhTVJXxtbBRtW8BYDeQ5hAq R2Xsydhh4ll+I06j8QoL5xnVoeoqd3Rvs3otRZqbS8tQMbIYxyF0K8D8oszTbDfJq2yDedHa49oG M0Lz8GMUamitY6riQElMHtFmEsLx4sXlci5BtxX5/skrdWOGN3QVHOMwtZxKJwpaJFHSlrLpeAae 3ftSeoFJC34r3fIld9L69mNr4sQBNcbm9dWGy6rwouozMUTV8OHV2wofFcY5j5YLxUQagMajN5dd cJ3JPfz4yQuGD6bnX5nByXaIHIucpPzgAo6LDFVUse8t7147aIapCyvZQjZZ1EL51Xgxlc1oc4Eg bgrAiWizTN8s+RCYgx+HHuf/9NvuPJnpLwEJ5zz7O89BYBD6T/vo6P//4Z++8zvpvzk5GE38rX5Q v076T1rx2Xb9r7FqV72I4UDXOuhFsC+9eOJLrrXqxaK+2khfekHj2aX/1vS78/m1vv/l7vvh1IOW 97+IUefof/vzHGb9/w1bVpJ8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAABoAAHic7VjNT1NBEJ/d1yK8gtSKiASThyEkmEgaMTEc0IJiYiK1 At4p2sYa2gItYm/1Qownj15NPHnzI0ZulQPxQJA/QSLxYvyKxkSNrTP73pZHpfAKL2ixv2bY75l9 uzM7Myy92vf6/qPmZSjAKVAgm6uBKlMfQ+Ky4QaoNvqyuVyOuhSkXAVlhUGI4y8JGvRDDMtJSBWq woZoBGf+zh2kH4u6hmT04XPmuYGAM3B5ZJ6pWE8rUqcuwhiESpJphgqckWxu6J6VNXVIDSDln8Hv j8I47mMUrpcs34MWYT5Pq+vCJUsqClaqfLJXh2HITqRfpvVZE5lB74CNalfBPwI77Z9UaiP7z9Tt vUT2XwP227+ElTU22z8jHyh9n5U19P3S/vthAqYgiCcfwX3E8B78RuuGpVPRUL4DVm3TinwXUrdR l+v2wNp3gCDfAZcxr/BNqKD8IeM3K8gWlBWUP+x4f9g23h87YP4eG9n+F/JPiAzuWYpi8vaqevSn xIWJsRakn9wj8jyAu9SZZpzzoVQiGYrC7I+G8Cx54Fa4wyS/lbceIH90DHuo/ITaoRSR7e/1n6dy s3EUe7rY/mmPHL7MHTba3kONMLx4QNQVxhRVZXyGH+G3eoHP9IBe7xPDZ4e0/ompYDISjwmVlI3O Lvja/XhirRzzDo76ANqwbAKR//LqP7eV7vCJFFmcAR1Ou6ldyGMt99X6BaSrSCdBz7tpwG1qUxxR j9QBD4vstPi5SXAj/gpg5BeCBHjFzzqatpj/OPjmc6yinO3vb8uX/9MhGyTdpHyQcj2KB0mvyder Rlnx/7sT8u6lH5em6UZFeI+dc4zG8LVRloW2tIhR0pQaLmt6FEA1xpGFqHWyJqPPlZ9XyzMs7fSA 7m2ajZyJXrUM1uaRfDhthulRAs2phYFg8tpwahzDEa/hk9JZfYfCJ9Fb4h6OREMJzR+a1gbj0WAM nj/4OP0CSfN+nr63P+ySPol0+rg6wvoctLQvJdsfxNf3ptbhz4n/UCo6Gh8D+F6vvnu67CnCnxk+ b1XObUX3r7I9yqndk29vw/+6SG6h/116U5r/ZWjZimrce0HufhD/DESuTMYT8XAy7yu1rk4vXkqJ /pPQ5mNiIaEVr7nW0Lfdrn8UJ9mlf08a1G8vVzxF+Jeuf7qcrcd/O6M/1uM/381GWFjY2fhvnW2V Tfz3GyjOhNG1m+lWeqwGe2tYry2Idl6i44ti5CT/fPVQCOxIDySz4WhyNNyXGYgPwvtvnB/9iLVw x++jD4ZSuliTABoAAHic7VjNaxNBFH8z28ZmU7ENQWPpYQURFAzBgmBBrWgKgonS9CQeEiXBiPlq UkPAQ3rx4EmPIkIED+JJRdCDh+ihB8GPg39ABfEmKnoTE9/bnQnbmIRNXIkJ+wvDvJ2vNx/vN7/d vHs7vXH30cwHaMERUKDecIPLVMYwcfkwBeAWZfVGo0FFCqaGg6HCEmTxVwQNQpDBfAXKraHQFdth vHnmFBv8jREhNaN60dz24eHXZ6OxdUYxVeEypk7DZUj05NMMFTgzr8dKH4pbH0j/x3H9acjhPM7D pZ79e9E/cUDGvpU+WzAlhc3F+s/gziegAEH9Zx1+sf6xHvzTfK8yw6Z+v0z7VxeJ5lj/59HnYNCw k//EgW78157fPkf8V8F+/tNwlFvpYzP/N2me1X528p+o3C//5bwnYPM9ICHvAw8498EoIgR5WIU4 Mj+FPMjgPRART1cssVLrM/73Wm1oAf34txPD7J84TXcn3d10h4xjconyCZE7vB9dzAJp0PeXW2VA PPXD+5t+3VQYU1SV8bWwUbVvAWA3kOYQKkdl7MnYYeJZfiNOo/EKC+cZ1aHqKnd0b7N6LUWam0vL UDGyGMchdCvA/KLM02w3yatsg3nR2uPaBjNC8/BjFGporWOq4kBJTB7RZhLC8eLF5XIuQbcV+f7J K3Vjhjd0FRzjMLWcSicKWiRR0pay6XgGnt37UnqBSQt+K93yJXfS+vZja+LEATXG5vXVhsuq8KLq MzFE1fDh1dsKHxXGOY+WC8VEGoDGozeXXXCdyT38+MkLhg+m51+Zwcl2iByLnKT84AKOiwxVVLHv Le9eO2iGqQsr2UI2WdRC+dV4MZXNaHOBIG4KwIlos0zfLPkQmIMfhx7n//Tb7jyZ6S8BCec8+zvP QWAQ+k/76Oj//+GfvvM76b85ORhN/K1+UL9O+k9a8dl2/a+xale9iOFA1zroRbAvvXjiS6616sWi vtpIX3pB49ml/9b0u/P5tb7/5e774dSDlve/iFHn6H/78xxm/f8NW1aSfAAAAAAAvATYAKABMRQA AAAA2KAhAAjwIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAeAAB4nO1YXWwUVRQ+ 9862dGeLW2ZJW0rFaVl+1G6pVMUixTa2JoZQSZfE127Nbi3p7lC62Gx4aYopifLggzG88ga8VXkw 0eAmgmlCgn0j+AA0gA+8KAkhKrHrOTNntsuwW2fW1Vjds7nznXvnzj3353xnzuzi9xtun51vWQKH 7AcFlnN+qC1oE1ikXWkA8HHbci6XoyYFS64qa0qGwcBfGnQYhBTiMcg4XWFVaYSa/Jmb/nHN8pCs dfutwr7ZcM/XN+8viHrSfVbbIEzCcYih5XGcRwrnMcS1DyDuwr4OUsgCv3Mz5/VYJlgX8A7qbiwV FxXtk13b99088wyWjXn7b+K6k3AU5zEKRzzb15CRhefp5pkAlgTrxO/fi/jFMhfqW9hWB1WO/5ek kvwnDqzG/5Huby4R//1QWf77wBv/N0Dl+e/FfoX5b8Y/ir1u7Qdhhf/2vGvAigM27wtFBStm2nXn /aqsXbFzOuIu8Yj8gN4J67BQrCeu0vnTe6Ce/cD2kQbWNcaqrD2RHP8OYeSPwxR0mT/30lxG/kFy RPFg5E+kHPuVlP+5fc/vP4oV1fP/d9j3Eiso/tPZBWHlHVCVtS0AESHMN//PmEfSG3+3mpW7BOUF /UYrXh/LmWXLVz4xkwWfhIZoJjlqYAq92KY2LdwNwbkLP03PY9G7Hkx/pyVO0XgRHM8aV/C4I3K+ loaIGHb9Yx/Vr+frByTVe5+yKxx2T7SrX1l2BXqiolp+7Pz2aMLLwfH3jhlTRiKtD04ej6XHjZTe 3dllpjID0Xybmd7Ylc5ueNjz+eQTNJkRUspoZiodT8KtpWDiFmVFbfCRoJlK2PztIe74y74maD3f aOqKEIqqCu1kFJSggABq/fT1ocq5XpAffqHIuSu0sjqvpC2QdgW/JnDgYfMao9nMae3a7ARoswaW MdBODoCc7cA7xdZP+2bnfvY3hP0f30PsNYg3dip0DzNB5VNBmWKreZcyRb+0NWl6DGlCkluR1ima uS2Q71cvbyvZAGWM22uD0MLfLJRJZlH7EssMnsUZxco4qU89HIyl3z+cORqnk6W9+k1aTwDPOyKs sTdKkJEa0kKovVtbxHuBvOjweDI+pQ/Fp/VhIxlLPeG9j8KJe9aYK14bCtCjHRk/16+uox2bMMbi RfzUg4Wn+fGrn0YYYD6cVkZrqB7jekpEzfpwni995plFmS96rrx5lM//H8LqZxeXQq7XVyn+3wir l0vbda5nRE4qNO6YobJPqabfmQ4Bli0N6lbWWMj2ezSuzXbqQa68eCcEzjWWSmiG+ofeNpWS/C/x oCv5q/GvWNyu6P6donGd+3f3xzL2Dxq5SxNjM+MmxhbGzYytjM8ybmF8jlFnbGNsZ9zKGGbcxrid cQfjTsbnGV9gfJGxgzHC2Mm4i7GL8SXG3YzdjC8zvsL4KuMextcYexj3Mr7OuI+xl3E/4xuMfYrl N9X4X5wFf0/8Xy0/+ifjvzUPl/lPSXHmPwt7veU/XvKXqlRe/gCLgutgAAAAAAAAAAAAAAAAADIA NAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAGAAIBFAAAABwAAAD/////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA gAEAAP8DAAAAAAAAMgA1AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAYAAgH///////////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAACQAQAAZwMAAAAAAAAyADYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACARkAAAAbAAAA/////wAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAJ4BAADgAwAAAAAAADIANwAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIB//////// ////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAArgEAAKQEAAAAAAAAgQEA AIIBAACDAQAAhAEAAIUBAACGAQAAhwEAAIgBAACJAQAAigEAAIsBAACMAQAAjQEAAI4BAACPAQAA /v///5EBAACSAQAAkwEAAJQBAACVAQAAlgEAAJcBAACYAQAAmQEAAJoBAACbAQAAnAEAAJ0BAAD+ ////nwEAAKABAAChAQAAogEAAKMBAACkAQAApQEAAKYBAACnAQAAqAEAAKkBAACqAQAAqwEAAKwB AACtAQAA/v///68BAACwAQAAsQEAALIBAACzAQAAtAEAALUBAAC2AQAAtwEAALgBAAC5AQAAugEA ALsBAAC8AQAAvQEAAL4BAAC/AQAAwAEAAP7////CAQAAwwEAAMQBAADFAQAAxgEAAMcBAADIAQAA yQEAAMoBAADLAQAAzAEAAM0BAADOAQAA/v///9ABAADRAQAA0gEAANMBAADUAQAA1QEAANYBAADX AQAA2AEAANkBAADaAQAA2wEAANwBAADdAQAA/v///98BAADgAQAA4QEAAOIBAADjAQAA5AEAAOUB AADmAQAA5wEAAOgBAADpAQAA6gEAAOsBAAD+////7QEAAO4BAADvAQAA8AEAAPEBAADyAQAA8wEA APQBAAD1AQAA9gEAAPcBAAD4AQAA/v////oBAAD7AQAA/AEAAP0BAAD+AQAA/wEAAAACAAAAGAAA eJztGEtoU0Fwdl9sm5fapkk/fnp4XvzQL/bkodKiUURapfEusaS1kvS1TbQGPNQW6g+kB/GgCHry g+AHDx4FQTypB0+CUEVU6qEKoqVi4sx+XtNYa1JzsJoJ897M7s7O7O589uXZ04rJK3fWvIIM2AoG JFNuKEprY4hcM14QfdSWTKVS1GQgpgqwrKALbPzFwYIA9ON7CBKZrrAoVMMK58zp/PkT6SEPZPeO 9LHN469nm6YfMw/SIytkWwAG4TCEUHMf2tGPdnQq7giEs9BvAWeuNL/LxmY/4j1FM9gDkaw0LQwm 6k/fz2xkyhArHf3bcN1RGEA7DsChnPX7UD8HGYfZ6q9A7FE0HcP3NPuTCheCUhy7EmS8F+DfgHzG P8XhYvEPRzckKf7dkNf4n1dzsrGZ4v+2ovMV/7r2ZSOT5/jPef3p8a/limHhPEBoYl8JFGr7vwj6 Tkf+S/FLYUn3umJ15hSrdP5Us3X+LwdZA7zq7VNv8ukqKNSH5QRc5b+9mPnDEINm8cseVi0h/xDM Gjko+Q0sRX8+YTnrL8T//w15iP+cvz8Ipgrx/1foZyLqP+IZ/upAOts7dy3MTzCG8smUYUobMu/+ Nfjo6OsesmN2T9wKDB4OxfvsfqulsVmkku1Bp02kF800tsDnLXcH03V6q0zv4zd+uHZjevgOotX8 afi9v+eDC2qB8tfVh+fUyPsNNXDserWgDcYM02S+sSAY5Qw8SLXT7dfk461g4C0cG7rxyU+24Gjf aATRRuxFSWxWI7rEM0QT8vMbETchcdyaw/E6RUcQbcRep883Nkfz0Xqcol5Y9o37RHYVccNLcjuy efCn+09yOvfrGNb/8T3CD4Vb2HHNoD6sBMZzRpWiVvRSpXBzTXHGFMU4uSFRjWyVavM440p5m8vy UsVYX1QOa1TOoEryAKn7iJNYXmYMWXFoTCl0hOIH9yUG8CNtUuzaLJcSoOxuYHLuSm7xUwZRfqT2 u3RbR7FuGy6pFbs/kpTSE0zMwcG7ry8ajlmd4WGry46G+ud52k5/z5TUw4T+zeYIP1NOovUJzb8s oyValuYDKyXvVnzYQ7scsXvDekSFh2awbD2izm0ICSusWy665svcNC6QY0KLnbkKltMquIr5udVU lNEMvbbWM1pMfEjxZ1lM8F0Of0nY0W1r+TbhO0Fll5Vaml1zuUjOO8mbxAztP62XHI7mDSaiB+wI wNrVZiIzPyy23oBJU9Qp+y/zqyXEf1X8C0PyM4q/wST/xRl/ooj4d854yb93xkv+rbM/uznxrbap fNoUfs9kzDl/qS8N5N7ofCL2ZoRxzoOJWDwchSnaB7rDrYPTwtvp8eatX0XOD1gs4+kAABoAAHic 7VfNTxNREJ/3FhC2GEpFrUST9WKIBELKSQ9Yoph4oCLl6KHFbmMNbYEWSeOlXDx4knMvmhhvHjQe jCf04Mkof4CJEA2JiYkS5CS2zuy+1y6FwrZWI81O8/o+9r2Z2Zn5zZtdft+58vBp9yqU0RAokC+0 QYtljWHjcuIGaBJr+UKhQEsKtoJDB4rGIYm/NGgwAgnsZyFTHgp70jFoLvqcYoO/MyNkyXx82brX n5v7oofesDYcZxUZU1dhCvSqZFpJBc5Itow9O2cOY+sS4xGYgTkI45vH0A4JtENAzG7b0kpD+QxK cW9HPllIGobBRZQbh2m0wyTcsnN8G3mQm9Wfds9FRd+K7dcucZG39CqYGHeo8aie+CcM7on/l0+a o4j/Q1B//Euyc6be+Kd7sBr5Lqgr/pm8l+3Kp/wr8S/1bgYzD+QLJey7YPt97uSAxiMZOwRHimOK A6r5CKN0N1jzf7vonThoHOIi/45h5tchBQPGzz55a6w/hvj+e+xSLfLrSQdZvvx+U8B+jefgv7FI 5n75HSOheQIvgzs42WL0DKsGJQ90W5w0ntJN0cblyKxCaMQ4sjBG/cwr1lzFfe3czx80eXB0pqUD ukXN4sb5Eo4eYwuhKmvMrJJoTzuMhtM3JzLTWI6FDNk/uSbi/D4JhSYO7olYXE9pAX1eG0/Gwwl4 8ejb/Cts2sD6fK4jukjv18fMO82nrrCvCh31ZeT8I6d5JGPyz+Zr488MO35nZo3lU7PsvHGzDkeC +i6ac+IczMQnk1NYER9Vc89XPRU1Nzmz4huEjDfojajCTqphS0NhYSWPsVfIyjLOeTCTSutxWCS+ VDufrjZd7EZV19+UP5z8/3/IZ+gNRRW4L/t2O45/o7Ebs8lUMprWRmbmwulYMqEN9g8AlYKXgsU1 A6xy0j8IP849m7FKqYx/ilQOG6/Pip1jOS98yHuNscKYoqqMLwwDX4hgC4LSwcDFjNndXlzxAXTS 1j3x+fZIdPNv4r/E/0/wf8qjXvOveypqXkf8bxJfE//3mBkFANc3PFD+FkqFqAkMB678y/iRNmM7 vFGf+KnBhj0tXdEew3K8dYemfYwX/bWfDW3K2/K7o1vlPvu8Vu4zbsNnF0Tu9WNf4rX8yfF/bf7f qenB8f9v7y6yeQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHgAAeJztWE1ME0EUfjNbELZVaDGF EA/rxUCMBOHiXxSCmHgAG8rJixTaxhrahVIkjQfBgyaejB7Bg4kxnkw0HownNNF4Uk7EmxoJiYnx J3oztr43O1NKLbDFBij2a972zeybfbMz72927o37/Z2HjR8gB8dBg1S6Giqz+hgSV41agCrZl0qn 09SlIaXLKCn0gYm/BBjQDTH8j0My1xRWhRcqMnvuIPt4bVnIrHX7VLZsx/T4p9DAS6YT71A2dQaG IVSQzmzowBnp5tL27IzZibQblP4ufP8ojOA8BuFCwfo96BHZ62l3XLhgTSuCFaqf/HVGOnIF0u+s 8SlJLljuy5WynSqm8ZWx6Sim/5NJreb/vvT9ijD6fzUU3/8V7Iwpsv8zyoEq99kZ44Ql/++GURiH AK58BOcRw33ola2LtlbFQP0OWPJVO/p3IU1LXo3bAcvjAEHFAqeU2wnlGLDdoOo3O3BJ21F2UUbp oxjxhxUYf5xZ8acYyH6fIj72v9A/YfSZ0UAMntz9OvEMyWj9PtG0OzxPOeUA7iz9f2PWWa9Nf88+ a7TbbUHVfsepHQzuwesvbkj9N8RR0cGh1p+MDprDAC/q9HOvFjwr6AGph2X0DAg9+4N0VthXWYN5 nt6OiadbujxClngOP55flu9z6LYXhp96Ba8xpuk641OdwKeCSH7Qahg4mWhd3Y89bQBu0PmVJuR9 SCZSBCmGNIQUQIojhZDQ1Ke6pIwp+4M4I161nk1TWNJHuhJSV7P9B4i1nmScc39yLBGKwjytK1VG e+G6WDC6LCx6IHdPNbF2Vv3lw8ovBGPQKn720bDO888MX1vGLkrZ/zZbv/qmQ7ZAdkHnQTrrUT1I dk21OvmgOhOq3F8D4hOQ7dqhjK0LtfcqjyvXfFsHcAkbZzndQ0vQKFJzEXMtS6nmirOqAOIYx0cI roU1yD5nRs7FOzh4PGBF9UZ5ZiJLmkXuHtKsG2CRWVUCybigJ5A4358cwXJkQMb+yZQ1QxH7gPJM fyQaGjN6Q/ny2UFv+KbKM1Z+mWRH3TS0OemS7Vs6WXmXacaDkVggEVJyJ3SSM5JO2XZX0B2fGYkN BeIZqWsOkmoyq2X7iPCnzqA/licvFjDf4uVfp1fvePzB85cehh6s6XLfc87u9XjpiQzFzTEznDC6 R8cDiYgZM9pbWoGW7aQ/0yc2SzVa2uHn4Uej9uLP/2B/2XXOVrO/f62/8tQfN8mucuuPuY/56498 6O3sPW1xa+vfGPtdvf5b4TVsIbd+/falHo49qBf8RtSvq69/GdseK58/bNUO9E2w/D2odPEHhZCD rQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABwAAHic7VhNbBtFFP5mdtMmm0AaF0pU 5bA9UAlVjRLaC6CihDQRIGIqx1Q5cIiT2MUQ20ntEvmAZF8CQhzaE0JCFKReeqSKaCP1UJCIKiWC HpCQgioRqHqAQ8P/ocTmvd0Ze+PUiRMskxY/63nnzd97s+939sbXbd9/8un+ZZTAszCQyzdhl6dP EEpN7AF2q75cPp/nLoMwX4f7CgJI0C8FG/2I0/M00qWmsCHsQ0NB52wb8ivXQq65wwPeuR9f/e6H yMi8YJvKGNqmXsYEwlvi6QWLLNJ7nkrWPET4CDT/Pjp/DJMkxyhe3zJ/H6RgH9C2X+m6iHr2Ywpn EKI3HyU54qQHv6LerOit2Ns4P2vobdU2CVc963MKLaz15VzVLa8OOwFq6f89l1Zvsf838bjp9lXB /4X3PJWs+a/9/2FU1f+FiaKvVsKfUnfB//W6RqyNAww6FjSreS1wc30dHhyoxF42gS37H9tQo1EF zgqqfJ7/FX9dv7M6TFTm3/UY8OCAII0blmtDpbn7MfobjI6dTiQTkZTdP3UmlIom4vaRzi5wKjg+ VOgDpwhNdB7B709dmvJaWbOzcQNhi8yYI7t91Dq4qxX70QGuR3/74g01s2d4H7451+60DSEMyzIp wcpsH2R2gDAIo1WgmXrGIWcOUU83oe0g2mDJbILa8WIfzRykmceIChTWpty5M99Sr99h1WGwJwTS nAeftOaNpx3PGEw3OfRb4jOTvYNOb+ueXifn9w0EbT7DXWkr3zvLC2FK7AlGY+Gk7Q9P24FELBTH lQt3pj8ntLt+mT78aOQ273iYqgd+rtAql/dB83mTt0gNuPRN0Wny67NtTS85snYX6NuS6XElRybn kUOyHEPp2GhiAoj7rOz1W741cug7vfZ/1hHfz/huz/vzafkuwArW+Z+xVbXbwDVQvS64X0Gq+vsE Vf5hJNHl/CqH9m3cPxnq+X9n8Oc12veFovU3vgMUAP6kgXnJYxQJjDHB0aLDGeVI0VSI6+4tiFtC shjc6hTtqq98/Hdl5hvJNWpdJLQp9DxhuhGH57RgMJR6LZiepOvQCu4R4zaNtT/7IkfdWKtj7Lzx RwMv9Rfifa3jf1Gm2sX/83utpdllX5k8BCWHKLyjZUeOWVvTK46Oj605b23qh1Lw9/pf4Gf3uvrh nfPtOH62dvUDO0RjiXS5pQXkFhewOncddy98ib8/nMXqBx9haWYGF2MxzNHzp8uXkV9c1PVHNkmt KIrcQ4QTBQl4dFL1jhGGwTK4K2KKthVWUO0wKP5e39iO/u9lZ7Nt1lypnZW395vilGPPh2yuM9jj LceaHDdS/u5DY5FXRkgph9LJVDiGo7wvVygH8K7QR7vxow+lZyqXbrQl/Rv9l+65Ff3XyH/K6n+H 1N94HG59yUoMEk4Svk8E15knKSO8J92xV1PnepF55rmrRI8It1Z9qeT961w4TG2uak6pb2sv0vwr hHcI96onY1DxHFP8fhXr+Y0qfmIDfifA3+OAv9R+w+pcvOe4sX7PHrh7yk32fAUnsUCTGAP8btQa zqLe2ONmHuUfSFM1l6LTx7AR/AMamRvpAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAaAAB4 nO1YzU8TQRR/MwtStlVKY2pDOKyJMXCAFLjoxeAHRhKpBDgTq9lijd1CWyRFQ0C9yMkTHowJJt48 6UWP6kFvyp+g0Zh4EiOJJsbW92Zny7bhY7esJpT+Nm93Pt+befPem5lded/64dHTto9QgROgQKHY DPtsZczeIAjQKMsKxWLRqi/WsaswAml8cqDBABj4zUC+0hS2RBitwOLFMc/fcVH+0qw+a2/bP/ik MXHxDWuiesWyqQtwDXRXMu1QgTP7fJz02Y90ECz5p3H+KZjEcVyCq67lh1A+2T1Nx6l8FSkh0wMw BdMQR80ncRwGrkNM5q470oqG8htg3e+cyA8gjcs09f1j019BEsEP5f5cKNZRa/DS/8mWtvL/6Nub X3X0f9pTvPZ/Ds79z2P/L/MRp/0S2zdxCtfxj/x4xFym0tiboTwOqLKuUCyPCXXUFrj0v2H0fB2y EBWPc0SqtH/L/rxANfK9xG6WT2cXWgoKxxS/6UxP8ZnOaD4kigvk+375PSC/9XhQG2C4mopq2lDl 3n0IX0PJy5l0Np3IaQNT0/FcMm1ofd1RcYQ8M1oqAzIPK9PdB2vHn005t10yADgAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACARoA AAAeAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMEBAABmAwAAAAAA ADIAOQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAGAAIB////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAzwEAALUDAAAAAAAAMwAwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgEdAAAAHwAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAADeAQAAawMAAAAAAAAzADEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAf///////////////wAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOwBAAAHAwAAAAAAAMv2rPujFRrG0fhuYCbI qQ4zio+RtbaLWrLUZm6lzFO4uJFyZCFS3Swiy/yldgHez+d9IUwd3dcCbfLMEKRZY+o5Uj+a/U9k 5pdtAjAUz10Zy0/iIWVYyP7NNeln98SVuIFDcCyZ0rNaTJ/RRtKpuAEvHn+beYWkRb/PPGhJLNL8 upjpU73qGtxtoiF19Zj85gvV8WNCb6tytL3qMvvFyXN1Q89M5DultGWW48S4w7Dy54S25oz2PaH/ nnBiyUv9r/Pbuf7LpTOXszGls5Kc82INZw1V6k4F08cJpqyQaCtnOs+49f/GCQJQj/21Bi/+P9j/ +znoInxlfNtWzmGfj4ds94h8t/HHvpvtPP5wPprP5vQULBJfus8fhkXRgV6fv4SgMtIqZaMnrhx+ vD4l88cehuHI/bBIK4wpqspCt2eB35pD6gC+oCMZ8ptBmkDKI3WC0oKm2cr4Qhdme0x2m5WXQBui z73SN0DsZGzQSZm3KOl/ifaVSv2vfNpO/xuN1d3+81/On5uuf6X9rBoRuOOPiLQT+2Hm9alqbG1/ /379/wIkOYlfAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGgAAeJztWM1PE1EQn32lFJZioSG1 IcasHgwcbKh48YCJEYwmgoSvxIQECunGGtoC3UrKCSThYAjxgJ7VeABvGg8ciEEPxJPyB3iQiCYG EzUSLsbWmd23ZVspbmEjAp1mdt/Mvvfmfcy8+b0uv618//Bp9Qpk0XmwQTJVCsUGnWCsUAFQwnXJ VCqlf08VaF9RG0Txp4AETRDB9zAksl1hW/KAPb3nDGX2hqn6Re3zJWPd1tSsXe5dEkpJKNJ96hoM QDAvm0YSgQnG+ZhpcwS5CnT7F3H+YRjEcfTBzbztu9E++b0NNN8306YMWeblJhiCOARw5UM4jgju QwuXbplaFQntF8Fm3JmxX44c52UH8q8cvpHkXMb7T1rufQXaa7Iy/skPt4t/6fb45yDGv0iCxfHP wHz8WRz/GTnPbDv571XMUt7nH8XxpLZN6bHbQTsHkgY2UjEUcvtBJB2/maVyXr+QCw4GWYE/jLjf zPnjhE38YQUZ52Nht4fCvjxHifg07iG9vwnare6M2CsojPY1IOnyVfV+Nyodw+dPNpbU2t8lJSti UNGeCPdFBzCxV4lPXq+6Yf7x15GXyFLd95Eel24HuB0hbeey6j8NEqGCU8UuzOg0D+2uqdlyq3W5 rTGBMdaeiCnBMMxRv4QBTsAdtQE9Vj+5IXtOthyzb7lAFhj8eHWda6R3XpiZ96hlmyDYRFFwT4wC m2wA90QA2Li0BdcgdyJ3cbkfOY6scDmKLHOuzRwBDo6V5Ltpxhlc2UVjoLlr+KsVkV8QYlCn/syT d4f4R8cfVtB+jr+9tq+GL2gRQtFCOJCwHt0LyS/prk6RSfneyd8uKGCAg0T63ut5XA/NNQR7Z1Fo ZPQNPcF2ko4r9VTWPKWU6SUNBVBJYNiFWvIJXq4rS9dzMmAPnG7QzvpqfmerQHkRS0vIvehmS4L2 LwnVcUJzQLnRkRhEONIKW2QfoOzTEQoHY1JLcERqi4YDkYzs4/fI03r2IX+mrHNcJE1Ulmt1zYaD NP1xJZ3xHjmoeymu12B2Wqmazi41V5HGZ6M5SUR/jEzIa2TW5d+PlaLj+Yo75wpk5l8BI9km8n3P ursfxUdzqH84GovKitQ0FA8ooWhEqvfVqRCusT2tUzdLF3z1sH7u2ZDxlFmHjfV1+LK2Bi8WFuDe 1BTc7+6GGb8fDoP/GdHP/+V/Pa5d4a9p8qts/LX8IR/8peOXneK/f+O/ufFfNn6c9XuhyuNVy2bw o6Cl3x3T+C7x5292SJ37AAAAAAAAAAAAAAAAGgAAeJztWM1PE0EUfzNbKl1IwEZrRU3Wg2iMEJDE bytGa9JEKikkHrWYNtbQFmgRywli4sGT/gN+JF68ofFgPGE0xHBADhw8eBAhXtWknIyt783OlmUD uDUbIqVvM503M2/mvZn3Xue3O/tx+5enL5rmwUIBUKBQ9IDb1MfMAo0ALtlXKBaLxnixSpuKIpDG JwsaBCGF9RDkrKGwLvmgpuRzjm0+w0X/pD58ySw70R1UHi1NsVpquIyYugL9ECtLp5lU4My8Hztz GrDsAEP/Bdx/EgbQjj64VbZ+L+qnuFdAj307czxY4pIPwiAMQxRPPoF2pNAPYdm6betUNNTvguW8 s6O/DktI8tuw/DadX8HC15nWNo9VqTLIyfynHFgv/wdC04zyn+Lf6fznYD//HM7/FXeenTlO57/5 3rWj35z/xrwaWP4fKBRX5roK+h1fpcojih3KHcpdSkmKA8J8dC/USr8b/q+3xEE1JjY/2fm/+AuV jb8obtzcAc2SHN7PltJvJ0aq+V+5xCX+6kbkF4MMtInHPvn/Af8QVfP//9BPc4y738CRhmsOIwiY xs73jMYQtSpfgdDCXjFKSMHDDU5HocQxTmYQ18r8sq+uJFfPn7Axtxe5ZncDNEnM3ojtSeSmsHQi /IgzHaWSTD10RbM3e3MDMUK7pPsXHyvoFj4Qn6RcHBp7E8lYRgvHRrRIOhlNwetn30feYtHafo4U ffE87a+F6ZjmqHqdTdTQ1Pac0Z7j1B7NeWT7DaNT0TQtZkicEjgpFFnFAk4W9OSSfel+gN1+deHV vHcNC5g46R8mSz4rtG4goMr9quJM9G9tui6vkJW6xhjnvCeXycaSkKd16R1oP9wvfZybXfCCsVtd FxPobjUKn98K/p/dE1/aOP8f2afe/bDoXcMCR/2/ROta/b/4rRz/h0N2+sjOyyI+RrWV+2eICBRV xo3l3X8X/nQlbgylM+l4VgsODkeziXRK62htA4ISF3tKfcLZRqO1A/InXw6a9a+x/+fXGsgaDlff tUjJT499MPfQL3iFMUVVGR8PAR+PYNFMZRT4vYBexttBvEiv2o90QCZEs6wPyvoQ36j963RM6j0u 6xNCP/Bai9xpOX5G1mdlHZD1OVl3Yl1p/p+844P+mZ2C3yr+t8qV4/8/K6Om9wAAAAAAAAAAAAAA AAAAAAAAAAAAAAAaAAB4nO1YzWsTURCf9zbGZhMwBk1CqbBexIshtl68SEXjFzRKv7yaSlIjJtt8 1JBbe/EgHvQfKAh6t57EU4vQo3rwD6gieBIVFAQx68zbfel2iWGTrkLT/YXpvu/ZN29+M2/79s3B zcerw+/BgTOgQMsIQdDWxlC4rEQB9lltLcMwqElBMXzsKkyCjr86aJCBMj6r0HS6QlfE0QvkWgHy j9emh6yZ3RfsY9OJD2zlxwYLSmcR/nMV7kC+J512qMAZ6eaW77mZE0Y5BFL/Odx/CRbwPebgds/6 Y8gIuz3dziv0rOmvYL3qJ74+YGY5hPK7g1+oYNqzZRMfgwcv+U8c7Mb/Z+sXFeL/fqp4zH8JN3M8 5j8jKsnc52YO7V/yPwMVWIQcWr6I71HGc8hatbuurKKh/gBs5V03+onzJ62ynEdrUBywcz0M2/O5 HwMGD9zi3zVkfh5qkBY/90j2mf9k/vEC/ej3ErtZv7zTU/yiGEB3erqfEdeHrKfkvc//wQPDE1ZU 04ecuTuBfyaKN6t6TS/UtUxlMVcv6mVtLJWGCHadn2q3iZQqK6kx+H76ecW970rfY1ZdfmNWsOMz Nl5h1IdZS3kqvHVE9JKnhrgsmVlYfJFyXEKUUixptYXb4yJ8jWlKDEvHggdg2MrZUdo1ljZQNnHs PWbeEmhMBCZy9VvTzQVMx2mh+xdfaplv+FBEsQCH6HSxlK9p2XxDm9RLuTK8ePKlsY6ipb81IkcK q7S/EziaODWq3mBznKZqTVkfFyycmVUtrSqYp0MwdcbEXEvnEuOcTzVr9XwJ94Tr003oKNxn0qaX PsXA1MnE8ytrX7n2nP2NeOHnv7Q/re+0/6mP7uxPyJ7NXjZLvevfKX/l/2+6wY//gwsvvj9k3CC4 mLLt+8ML2Pfj4bJ7Rv9W/One1gkUmzhcf3XYqh9ficO7R0lRVhhTVJXx5Rngy7MoGjZW8ZlHmUcp ougoZTG8r/sD+h4fcjfURwfs9P7mPP/x0QSMvIyL8v86f/e79eHEH5eNRs0AAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAAeJztWG9oW1UU P/e+9E9emjZ5a2o3RKLOySwNXfepg8rKrH/ARWmmftMla6KRtWmXzi5FpKw6hzro/DLwU4eCQxk4 3QfRL3WCioidYyDOfykKggU3sVrdn8Z77p+X997a9SXGsUJOuT33986995x77jnnvpfTM8H80RPr ZsFBd4MGiwUv1FqeEeuAAIBHPlssFApKXqjSqqI+yLC/EQhDLwwyvgdyzlC4JrVAjXnmGsP0S8qf Twvxvdaxk7/OPhGIf0K8KPeqmHoIdkOyJJ1W0oHaYs7NnA2sNYPSv43tfwCGmB0JeLpk/QZQgnGP ueBW/xrWUrLfC8OwF+LM82lmxyA7h6hEz7jySpjpp1DMOzf6Q6zNyX4Na1cs/luUzUo+uX4D437W GkHkfJVWP1Uy/zEOr5X/+ZnYXBPLf7xTKpj/xLofN3P+j/zH2udWf6Xzv9T9W/NfzasDex3QQeS4 yvMmuPpuZ68AEIRqLVjNhLFLZfziHYb3AeYnxkM9a5imGAt4B1jrP8aDOn9DxkCz5C2M38Ra63+I jWpMXR+isv4+zCp/ErLQwf/cU2sZ719Ik54SlKxA5eivJK1mMwAyAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgEQAAAAMAAAAP// //8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD5AQAAYQUAAAAAAAAzADMAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA BgACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8CAABe AwAAAAAAADMANAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAGAAIBIQAAACMAAAD/////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAHQIAABsDAAAAAAAAMwA1AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgH///////////////8AAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAqAgAAaAQAAAAAAAABAgAAAgIAAAMCAAAEAgAABQIAAAYC AAAHAgAACAIAAAkCAAAKAgAACwIAAAwCAAANAgAADgIAAP7///8QAgAAEQIAABICAAATAgAAFAIA ABUCAAAWAgAAFwIAABgCAAAZAgAAGgIAABsCAAAcAgAA/v///x4CAAAfAgAAIAIAACECAAAiAgAA IwIAACQCAAAlAgAAJgIAACcCAAAoAgAAKQIAAP7///8rAgAALAIAAC0CAAAuAgAALwIAADACAAAx AgAAMgIAADMCAAA0AgAANQIAADYCAAA3AgAAOAIAADkCAAA6AgAAOwIAAP7///89AgAAPgIAAD8C AABAAgAAQQIAAEICAABDAgAARAIAAEUCAABGAgAARwIAAEgCAAD+////SgIAAEsCAABMAgAATQIA AE4CAABPAgAAUAIAAFECAABSAgAAUwIAAFQCAABVAgAAVgIAAFcCAABYAgAAWQIAAFoCAABbAgAA XAIAAP7///9eAgAAXwIAAGACAABhAgAAYgIAAGMCAABkAgAAZQIAAGYCAABnAgAAaAIAAGkCAABq AgAAawIAAGwCAABtAgAA/v///28CAABwAgAAcQIAAHICAABzAgAAdAIAAHUCAAB2AgAAdwIAAHgC AAB5AgAAegIAAHsCAAB8AgAAfQIAAP7///9/AgAAgAIAAP04R+W++n6jUnaSXVSvMEHUgzJWCbQ7 KVaKm7kUK4WXqp64BbFHKJqBvQhplc985rgGGvbkg1gxNtQ2wTp5Z2IlmWa9t1ibYiXlc01UHBzT ANvjI0/tyA0l8a0Ca9JFKmaAtLudiLWb6VZ6rAZ7a1ivLYh2XqLji2LkJP989VAI7EgPJLPhaHI0 3JcZiA/C+2+cH/2ItXDH76MPhlK6WJNwXZ36FH0kiFMjObFeuFDeepTbesFcN6wd8OESnTmBCdkf sONDjYg3Seyn22yYkDd163g/PcRxhynvqrPK58nXHjt+m9i+6MumUuMPa3s1/28M/W7vCTdUvf9X J1Xrf7FejwdSoUrW/+J6N2r978w5/URc7Mt6T4p9UbmvL7QZbseY1HOcFBrx+Pv3Kbzea8enajge U/4+o+H8PhNv4V8o/Vmn/0uz0+l/P01yf6ezyl8v+wnXo+TP+4V8iXOnqDeWG0hkdgN86NU//exn w6V/CLmFn2O7qecs19OdXSJebXo+aNHfW16Pc3/HyasNuEQsq/BzPN7aTByoL//8rXlyI5//8vlX ufMfD+l3nZw1XPqn/PP/OKS/s7yecs9f2TFFX6PCDvzex8qr8+os3hGFbQZfW9o2TiilsVx2JDkA IbQDfym4FV7iE/Df6Z8McPpAg6Up2hN9ALmwJa+d4zH0bE7hhTo7PlojMGFvGJou7y3Hb4/4DrI9 vWtPJptJjYR7h/fGR9KZwfDmSAf/KeOemPmMXzYKRDbDfNe7w1brUjvt+1B2znG/ULh8akaOPPZY C5w93Mr7GiGarhNjoh+MiSxoTexSCxJ6sJPJdHqgmz3tczzVGpnrxISxqyYYtwnJPiah4GOCDrxu lbgN6Auva0JkTKQBNdCDm+SCOJ0j0O2r4FC1CqC1DsW49v6I2F3PLrHvrZ7769HX8X6Fffx8eky8 XuPyhMK/8GztkXiBdHns2OCxF02UU4u+alnufI6QR3ktiSUUnueRed9Semy5dvtaPeXMtaIecOTa xtoI3/+TCYVD1Irz2lDAjh/32fEdtXZMiMAr1YTEWv3w8nY6/bGxdpLnTZtp5xbuj3ZT75lGqzyv TXvt+EWPFR8h3Xy97kQZNWMn2mmtGUjFmlH08Uo14xv5wnpO8m8l/07y7yX/QfIfJc9TrFPXo34I +k3qPS/5Ba4fqHPcH/LJvOR/Sv6X5AuS/y35P5JflPyS5JclvyL5ouTmCz5z7L9412plAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAaAAB4nO1Yy08TQRj/ZhaQLiTABrAhJKweTEykacSL FwNRCEapBrhLMW2ooS3QYtNoCF44eFL/ABMTb540Rj1WDyTERDHh5kXi6+QreiO2ft/sDkw3bd2S 9QH0t5nOe755fM+uvmx7c+d+1zo4cAI0yBd80KC0MUxcVloBGu22fKFQoCYNU6GGHYVRSOKXBhMG IYH5HGSdrFARnVC/+eZ1xB8vLA7JWd1D6lgzljkzNbHMdMksgn/OwTREqqKpQgfOiDa3ec/NnCZM 7SDpn8Tzx2EG9zEJl6qmb6BEqPfpdl60akplwaqlT/K6xqxyPaafyvy8klSQHvCQ7Wr4T+Cl/JMM VpL//sMXVkj+fVTxWP4l3MzxWP4ZiZK0fW7mkN2U8j8IszAPYbz5GO4jge8QsmuXXd2KifTrYEs2 3dAn/dtrl+W8fVCsBwhSDzTZ45w6oYadD+m/VULekdewe+CF/mFV6h+fon+8gHoeD5fdE/QZ53ws m0pH4tAz2RHtIetwAK4z2T/80QCyL73YQvlXfG1Nmd8NFBN+f9Ymxz/2w9pNvyhrjGm6zvgSP8iv DWBDOB1LJsy+QBCasXZqzBycVfcSGgidprwPfhx/UNTjhBwp4k/e6OjNWdnQfvwZiV2cS6aS0TTS mi9B32oTLoGsBErR3+AGWHRu0N0syntjSkgsQe/w7oO8N2bfGxTdmwFB4S418g4Y7hptqXTaPwlu +1/n0fOLQAqC4nMP/zbjnzX2+zFusZPl71/Tl//pEG8Sn1I8SLEe+YNk7312XiomrGF3QL69tONS oV3BwidsvMWoDzlBWxHc0i16iVN8XJYsL4BKjOMSohRgfrutaXNcM8+xftSlAIcaWqDLjplasZ7D 0jLVcOwSs6I0GtMMI+H01Hh2Bt2RoKC9wRfz1g6FLoY6Dq3jsXgkZYYiGXM0GQ8n4MndL5mnmMzg t8zr9uiCtGGkw4/qE+yzOO1AtsR6nNYby8Ynk9MAzw399sN1o8x6W7pdrntMrPsoq9u718UJLWVn 0SptR9D+LtC6Tvu7+ray/VWxZRWroI/Sren2uztid+/s597mP/Krtst/Zzv1e0feG2XW84D//sr7 l/f/nP7jzNVOaH9Vxn/cRLH/Bw54v//d6//9AmrprVEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAABgAAHic7VjNTxNBFH8zC2i3JKUbA4RwWL+Qi6SRxGhCjEQx8UAhQOKFA8W0UENb oMWmB5OaePJk/As0GhOPfsR4rCaScBEO3oX4ByjBm6H1vdmZZamC27okNOxvM53v997M+9rt2mp4 /emrrg2owhXQoFwJQItjjDkXtAE0ybFypVJR8xUfDYUxyOCTAxOGII31IhSqTWFftEOzrXOyB/6Z i/GSNX3DuXb06+TK7NQy06mjKZsagTmI18TTCR04I95c2p6bPUEsJ0Dxv4bnT8E8yjENd2rmbwDf ZfNu9hzHkpDtIViAJYjhzSdRjjTqISp7d13dilkHf7r/i7LdjGXbsb/sKE5QHPDS7nwcDnjp/+SD +/n/VOrlO/L/AHU89n8FN3s89n9GeY+O45a/x/7PmmDHN93wd/q/2ncMdscBgooDQbmuOib4aHyQ 7XJpv2RHlA8o1pM9kL4Dsv5bTvDR+OAy/o5i5I9DFiLicY/OOuIf4Qv79xq3cJ7HO6pHgz9D79Z0 i0Z17u7An+Hk7cVMNpPImUMLS7FcMpM2+/si0IpT18ftMZFSVaevH35efr3g5KJpIQZBxu8PAoRp wN7fDRR/tj52yZWRkQ6YuNdu7WJM03XGH7z5Y79DfuDVZyrZbxcHD+JFRd1/9ObO3Ckp2WlZn5H1 WVn3yPqcrHt57fr4X/k98P+67M/3/8PB38//PpTu1f93KqCGsXELy2NGc2gJ2oqwlm4xS5YS4Kpl vQVQi3EkIVp9rFOOBe11rdzk68zAVk9LCLrkO0Mb9kvYeoHlCRJaZtZXGq1pheFYbnaiMI+fQ6OC 9y9uSjt/JKJIE4e2iWQqnjWj8bw5lknF0vD++ff8ByxmZDP/KZTI0vnOM+vb64K+zrbFaQcLFr1i WdGjfEL0xgup6cwcShbWw1c3jT3oMXFvP2y6RdYr6M4UdCm9Lk5oBTuLlyHWStmLjHM+Xsjm4inI El36OjsJD+3oOLllgJLd4sX2TG7RQZV93PM/Cvp/ZiQG6tX/aki/9HbD2IOep/ofILrV+l/7drD6 /w2Lgiv+AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAeAAB4nO0YS2xMUfTc +6bTzmspo2o0lQxNqDQmVd1Y+EwokTCkY8FGDKZUzIy+GZrZSOsXEQs2FoKQ2FiJz8LOsCESZWFN G0IkEpVYCDHjnPvuHa9PR9/UExpzJmfuPfdz7ud873v2dObw1ZtNI2CDlaBBvuADr6WNIXJFzACo lm35QqFATRpioQJTCrohhb8MBKELklgakLWrwi+hEaqKMif58yFTQ3Jm9zrr2NEX3ecbmh6yOiK8 Sqc2wwGIl7WmFXTgjNbmUveczKlFbAC1/ho8fwIO4j52wf6y1/ejRVjv08mcWYg9st4FfXAIYnjz vbiPJMohIqnDjm4liOcnGyxn/dmIl2Tdg/jNsv+8xFr42Zap3TtOewWmLrhp/2SDv7L/K+eeXCD7 9xHhsv0rcDLHZfsX9qdin5M5btu/ByZv/2peDYz1AwTKF+jYN80yNu+yDlbg74ETfZkAyrY/0p+N HhdWluDyef6r9cvRlYnsnnwqjWnEco6sV+Dfhmg2sSt1AOBsk/7o0Ws/3L32of8+YrD9Y/+qOT0t ZKZLMMJROco4UJzo0If5iJeiXpvRjP9f+UDe1Kaz4ono4TBD8T0xVz9Smi+XfJnku5Mv4sRiheQb LCi+1Ep8t/Ym4ulgJN4f7E4lYkl6f/Ka39Bpp+eNiPPuMUz6vfaiiuiIpHO8Reww/NN9lNq3s/s4 o+U8xGG9oe5ntXhxR8dbZ8y9ozwfO5GnetNT/kJtVWCmZvS2pzUpV6P4XyftmfKA6Yj1ID4BwEyg HMjsq9j/1AMu8+8tmPnHIQ3t4uccApN4/xJU4v+/sT7NUbavviOob3z30PBvYIfuoT70BFoVJ0/R LHrJU/i4qpmvIKoxTtugWogFZFttcVwdX+3J+chjLPTWQ5N8M5EnyWHtLuIALvRZM19pNKYONsUy +7ZmD+JzaFT4pC/cnAFy30uYybuBA9+uUW0W1phvnNg0oS9eEOi5rnyk8rltPpoayiqf7BU+uVPS SZaqIXpxVpd0WuwhbMRjrWCPY+XtwR4Phvm7arGWoeiEoDuK9EcRl1olPcQuVlvj0ph9jIkXS+fp L++M+EvexWTjf6JBf1uarzvxfzyddgpOz/sn43/p+5h8/Ed5jjiXZ5I9FOfba+jS6nRxi0JdpQ77 oeaHjAcY5zyaTWfiCWihvIKyhPlwWkwggbx+4wf7mTS7oCREwpENVNr9zytMRDqR2MGU/7khuFv9 D8MsQ9PlPNu3J8pBNvXuNlLpVE8m2NV3KJbpTSWDy0LtIp1ZGy22CWejiNAy+LT8Vp91h8r/bAH7 vTeLHX15MChHBkYD8PxcQNQ1xjRdZ/5jUdDqGdRiLUwZk85PrgBtOrnKwTDwQQMxjhhDbAV+/LZm DqdeMfzoYhp7qhP8x9YjKy5YRajtaCu27QF+sg34qQ4QIxFwSkiURZnQ/fyQiZJ/xf+XzsX/nv8v /R5w3/+7YP/Xya/Y7f/Zq//T/rddbpxS9v8d+kyYiwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAS AAB4nO2Yz08TQRTH38xCgYUE2hhKEHXxB+IPagVF8QdCFBMPFAIkXjxYTJEa2gItkh6MmHjyZPwL NDHe1QtHNJHEi3rwD8C/QAneDK1vZr9TG4hma0gIpG/z+pmdnX1vZmfmvd1++exfefG6+RttkF6y KJevIV9RnWCV5qSBqBJ1uXw+r6os1nxZdpSss+a2uxNl2TYZoRQfGXJogJLMWcpuDAX/lEaOAsX2 vNyT89jOq5Tqf6tlJ/vfyvlXuUF+cjPEknv5enHbpeDDxcnby0LnFMutEzREUxQrtdsFsUmKUsdf y7qHjP+rPP4ETXM/xuleyf4D7F/lQJP7vNwzADYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACASIAAAAmAAAA/////wAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADwCAAALAwAAAAAAADMANwAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIB//////// ////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASQIAAMsEAAAAAAAAMwA4 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAYAAgElAAAAJwAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABd AgAAEgQAAAAAAAAzADkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAG4CAAD1AwAAAAAAAFPDOoGyxPiH+cnHKE1hfXiXJoy/ogT/qr9fhVs2z03d b3KB0ipy92lZdrcM0AzNUZR3fpz3QZLjQARn9z3tSodXcLE9r+u222tDD/I//rdSdrJ/tcdVxFbx S8UA9U6v4rPa/9W4boPleLD7pIVUDlp734z1EB4K0tiDRl22hLBsW8jHby2rXlCtkI/6ifyb1p5Z OwLn5hvRz4WbrM+EusZZz/qovbXoq2ql1UhTcrOo/qKUbEKXQqIJdbWFdnXSkSsiwKU2Xz01I+fx xygtcekV63M2tCzcLK/a1NFgNDM5lp3mcDasff+SDvbJU50FKyQ1jMUTsbQTic07I6lENEmLL7/P v2N1wqvzH+on0mp8HcLdE532iljXo+3PuvYWcsYe10plbzSbGE9Ncc/8tr9vNfAXe0I/tx8Fuwui Xdu9m7XRe1uP0E3Wrq+Abou+Lwgp5Wg2nYklKK3sqjeiVnoizPzcWguQ6bvrS5hXr00S6Y/c0POO CawAK0EfWAVWSzWvubxlY943vPsF+Wcwfmc2lU5NZJyBmbloJp5KOl2hME8K0bXRQp2eLHMS6qKf PW9mNvevEX6DYJP2/+cvCSN7UdMC7gP3gwdAB2wFD4KHwMPgEbANPAq2g8fA4+AJ8CTYAYbAU2AY PA12gl3gGfAs2A2eA8+DPeAF8CJ4CbwM9oJXwD7mbz+hqckAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAiAAB4nO1XzW8bRRR/M7tx7XXSOCZxPhqJ LdBKqMUKBCGhikCaBsShKYpza5FwwRZBcZwPF8sHI0MFQsCBSogDEodCL71B4VCqVgogol6A/gOW WrVwbZEqONDazNuZWc9snGSNTOsEP2u882bm7Xuz7/fem7nya8/V018PXQMPjYEBlWoIAsoYURdE wJnDsUq1WpXz1TZtKZqGLPvlwIZJmGfPJSh4obAhxaDD9TllPP2FOuMrfPp5de3KgfN354zLJITM DompIzAHqYZ0qmQBJep+/MhEWesFqX+C7T8DC8yO4/BGw/qjTD/i3gCOfT8yfaylRX8SFuEEJNmX n2V2zDM/TAnuTV9fxWb6TajFnR/9/aw9KIIZ3XC3Di4qoiGFxfs72bNb0VWpI9emrUXNjH+MgY3i /6tn99zB+O+SwIPmxT8F//HX5PjXap4fmWbHv1p3/ehX41/KYQ7BPKDGPZIl1qhjO9lYENq1fjuQ H7xsQg3XX8TSHbMJmgU1eT//K/3NwpGaH2LAfTzAnoOsDbG2S4y1qbUIywDWTqzdGJIdwO91WJ4x x+NZHWsAngHx/Ie1G/M/ngPZFRB6WHtA+LZXPNv+3zpExfnrJXbyS8EyjDg//zTwL84/SO383xr6 3z97M3+KNXvkj/xMX3oM3fIY4bngFjtZYg54wtpr/tyBmWKfLflzROXL5Mmwzgctndfly0TKs38a XGMVZpYVtpuzrNksFT1q8gy0N9DNstDhZO71mcICOx7fcnITjlrOV+CH2mHW/qZR4O/9GAdLhFKa KCznUhkYw31iVtsNHzgC+Hfj9yjwvROxd54T69HU+NSL+KTv7WOylaphcR947z54zj48++pSdjmb ztmTiyeSudnsvD0aH3FS6aGEO+ZsTjLxUbj99LlFVSNqip48iOnW4v0EGN0EwgT3SmHXj4Y4zw+c jsHwWzGnbxBiWJZJCKmtj54c196GdsvcL+8RVGjNs4vSn2zigolzrBIYL1PUNuzMYqUIUdnjtxDs EYowxF6cDIixsLuuk5bMlUhUeG1I3NlUf5ciG/mb+7ZUgZpvwaQQmZnNpJbtqVTens5mkvMarpM9 6YDENcffqnGxC0XjBckPdaGJtsBnkfRGcH6/y6e79fmngsThuT12VdpDGrKnhjUZV8c68Q0Tbpy9 G0J+3OWnA/r8qBNXB13+ENX5h4kqXyaXdqrzZaKjCVHBRyYE1lIP0bdtqI8ffaX3Pc4ok3XaO/sZ MNZH4eZW6LL1ZCY8GuPoEOuqm2nqIIeipxKFzPHsHMCHw9ZHl29E4fyZm/nvz3BPvTCYfqR+RiyR z7WMVyILO5D/0uWzJp/fOEPdm/yBFu0xPnFy8mtL3MJ+8yLbzXdhFU9l8pml46MQ0vGj469MdPyV iY6/MpH48379xuLE+/VXjVOO3Qlb8l8Edf6oqfPPgcoXyW9dOv9pUOd1+SKR8puhKNhrPf7ttajP eF81FrU6uWpwFH3j8gcMdb5IfurUeX19kcj13rzktfOvQev6+nbe2/oPa+g/rf8B3Ke3/l+5vj3q /ysXYnD7h36n367/a8+1rVD/a/bc//rfyvl//ftI6+b/Z2KWjacIf/6+j/m/zyqindv8/NemTegf Dztj3QAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AB4AAHic7RlLaBNB9M1s+tuktl21FvWwlSKIGIqevKhtreDBKk1BBQ9NJcGKSayNhuIlKhQRD3rw 5kGxCN60it+LoiAiqAgePCgpguip/k5+Gt/bmdnubo1uam2t5oXJzps3s+/NvO8kTx7X5c5eWjgC HlgDGozlq6DcMcacE2oBAnJsLJ/PK3q+BLMKOiGFnzSY0A5JfO6DAa8p/BTqoczWOUecP+LW+G1B 3uCce2LkzPbPH+6zSuxny5RNbYY9ECuKpxN04My5Hz9rDGzzQPFvw/0nYC/K0QO7i+ZvIH+yew2E 7ftZg64Dcdlvhz7YD1E8+V6UI4l66JDYAV+nYiL/AIz7nR/+c7Fdkn3y72+O8xvzPEPg9ulqEP5e gn8DptP/cz3D28j/q4geEGNT4P8u+/SzZqb9n2AK/b/o/ZOGlP+rdRSOVRzwxoAgCJ/XoZTf/zVg 0h7IfsklyQ4oJ1RgozxNvkp6JxugXEDxfw62GmkTdfJJjXxqPpTyw2wCP/HiF1B0/UX28VWbAs4S png//xV/LvPvFsz8MeiHZuvjHxomkX8ISvr/O/ir+7uK/5ON3aWYP3tB6V79fsOlbRzFhH4QkZsa 0bAS0F4wihiLLSpVClVc9UQVTD3G8RVWL8wa5FjQnhfi6/gZgyrwpeU1sFDWzHQjvo2989i6kfia iYqD5oRgUzS9q2tgL5bD3RbvLzw7JiQ8Yf0kFeBQ29WbiPWbHbGM2ZlKRJNw9MJo5iQ2s/l95sGi +EPa3womapqVepYdriORTFPhnTpz4aeZoAt+Zl7xY0XxY9a5vrP55tjzWnpDq6nwZ9WEt9n41ZCb fipIeIuNJyvd8zdXuOd3B9z4Wk2s956b2gdDj9d0qXfP3W0Bfm3q3bkv1Z+Kp832vv3RdG8qaa4K N1ul4PqIPWYpSyHhVfBp9XCfM8oU1j/JxSF495ScefFcPTS11lt9jTFN1xkffNrID+FFB5txJAJa DYMgM460AB9cjiOtAHWgi/44tVVS2yQ1tqTwevdM73usUckf/NjbPSN+raR/p/4L64sCSiV4QcWD C9hMvIosC/w4HrybffYTnrBZ6Gjp2EjPQrHl+tBo5s6QsK1b8+N3nbb1u/rzZ8cg7ZjZ8ZNZdhyx 4+Ww7sYz5W58Bxf4D+I3pz1HBhI9qT0YIxr1DeveGz79KctG5tArltt8jlcRftnGt5a56WHrlF9O iOteOU4a+o3CcnjPI8e2VDv55FhTyI2/rXDjjzSB69KqdUuD4h8WIZsBleOyZRnnPDLQn44l4BrJ QbfyRjjGlN3s+GiA94wKldjK3gj85s3p0v9grf7myojhM5/+Of3fnPszOWZU/w9JDq/+n7yanP7/ hvg/UcJS/J+u+P8dsT1VawAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAHgAAeJztGEtME0H0zWz5bfm0VZEgMYsHDxIbIicPKh8x8QAYSqImHiikjRja8ili9VJC JMZ4wIMnjUkvJl5MRI+YkHgQL0iMXk0JhEQvfuJJYuu83dntdi10l5RasK+Z3Xnz5u17M/N+0+V3 znjsef0KGOA0CJBIVkCpbozoJzhApuFYIplMqvRkEXYV9EKI/cIgQScE2XsMIkZT2BJqoUQ7c8pw ukTl8QWFfE4/d3bk8eVfP94QkfWjJapN9cAw+CzJ1IMIlOjXY4bnAGv7QZXfwdYfgBGmxwBcsyzf xeSj3Qug2L4ZnhrW/LzfCaMwAV6280NMjyA7h26OXTe1KxKTb4OU35mR72QtxvsVrP3OYBcJQ7+S y6gCxd+LsDcgn/4fH5i7hP5fBjn1/7ScY4bnX/s/Qg793/L68YRU/1f5MIZgHEgkU75fzsbsujlF v997YNZetwDL+RftKJZ9mmnI8Xr+K/lq/Y7xywa5ye3FOLF7AM8f84F6/piW8V6HORrjP9aHWK9j HsAaEOu/am4nDv52sfc+ne0Uz3/3AGGnJohKDDHWbgfZo2tocCw0HvKHpc7RCW94KBSUWtzNsimc 9WhjsnmoiLsFfp6cG9VHGZHO+I7QKQlc0x4QagjYiWu6DehMU4Nsf/bXt/nMGx9qwbZcK/cFQgRR JHTmfSPyZuRnI+14oxGVforazqkdnJpJfiY+Pp/L4x5hp2qvkrbSVgda/NHSGqjnNR96wgLrPUGM IetE8RicUwld3vDVvsgIK+f6Ade7QaMJZbWz8l8qNgqOvqGAb1zq9k1KvaGANwh3nn6dvM+a1Px9 csbhX0XfPE4UnzwhRsmxGlRJklS8VyRp+COi0BV5UlKVRyzJI3JM+KbJjZPhavxCh6TiD+yIt2l4 sDyd3lOGeLuG99vS8TOCwm/cF2t6AteTaPsTq8IveLT9mBPT8cnSdPwKVfAM50NRD08kMBAaBjjl FB8urrlM7leUTFXiJ5o0OfcqEH+h4RdL0uluOSN/+uvcjHo8OyyObK6HcT/i5HOZXk6cLAkKTvn9 6wK7+flgHJrln3mo28b9A2FesCAkC2xHfi5hN8tHHjX3q//fUk774gS4xZCbAtJYJSC8IhitG2Qq RsMKLS4qt2DsEYpqYM9N6qAQ4ueE07+Rz/iZklfY8RP1FPkui6BUAwjKt1yyznyPo4RS6omMh30B WMU4g1VhI9yVGfCxtu4C45o3c/Hutu7z+Jb5dzp/W+UfNOb/rQEdojz7tIKFfOfPt4fExZcrLpP+ snP5c94pftxcD/P5cxv+s4FyjP6zvGrdfzD/56d+39z/C75+z4P/Z59VuPAHw8v9/AAAAAAAAAAA AAAAACAAAHic7VhdaBRXFD73TtzsTv4HTaIEOk1/QNBlGw1SwbKppmjVbcn6YF9KN91dTJvNGrM2 WehDaCCkIpKHvipRBPElaNuHvhQsIlIorQ+FIhSs9O/RFoIvpbs95/5sZqbdZLZd0pjMWe7OPfee Oeeeued8c+7c+6bjh8s3dzw0ADAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACASQAAAAsAAAA/////wAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAH4CAABiBAAAAAAAADQAMQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIB////////////////AAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAkAIAAGIEAAAAAAAANAAyAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgEp AAAAKwAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACiAgAAMwQAAAAA AAA0ADMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAALMCAAAwBAAAAAAAAIECAACCAgAAgwIAAIQCAACFAgAAhgIAAIcCAACIAgAAiQIAAIoCAACL AgAAjAIAAI0CAACOAgAAjwIAAP7///+RAgAAkgIAAJMCAACUAgAAlQIAAJYCAACXAgAAmAIAAJkC AACaAgAAmwIAAJwCAACdAgAAngIAAJ8CAACgAgAAoQIAAP7///+jAgAApAIAAKUCAACmAgAApwIA AKgCAACpAgAAqgIAAKsCAACsAgAArQIAAK4CAACvAgAAsAIAALECAACyAgAA/v///7QCAAC1AgAA tgIAALcCAAC4AgAAuQIAALoCAAC7AgAAvAIAAL0CAAC+AgAAvwIAAMACAADBAgAAwgIAAMMCAAD+ ////xQIAAMYCAADHAgAAyAIAAMkCAADKAgAAywIAAMwCAADNAgAAzgIAAM8CAADQAgAA0QIAANIC AADTAgAA1AIAAP7////WAgAA1wIAANgCAADZAgAA2gIAANsCAADcAgAA3QIAAN4CAADfAgAA/v// /+ECAADiAgAA4wIAAOQCAADlAgAA5gIAAOcCAADoAgAA6QIAAP7////rAgAA7AIAAO0CAADuAgAA 7wIAAPACAADxAgAA8gIAAPMCAAD+////9QIAAPYCAAD3AgAA+AIAAPkCAAD6AgAA+wIAAPwCAAD9 AgAA/gIAAP8CAAAAAwAABA+9BAaUyhEIOcaYU6AdYIsaK5XLZT1fDuiJoiHI468ANgzCGF7PQNEb CitSJ0aB1sWR519zMX5LTr/ilL3xODy098u7zMR+PKRj6jUYhUxNNp1kAmdOf/zc041tK2j7B9H/ HJzGdQzDOzXbt9A+xb0BMvb93EOuZ1V/EMbhLKTwyY/gOsZwHxKKe8/XU7HRfgMs550f+2FsO1U/ gu1PT0yUHP1WkPndrGyE1bVUDmgj0Frm/8L9+Zcp/xuhrvnveuf4uef/zn+iOuZ/zf7TDun81/cR hhAO6LymawuONTlk9FwYgvf8RiG/8boC1fz+pTh6n60u55fq7M+msk/bQHhA+EUYQDU97U+juv7X 93xQJ6xvYnXa52oU7P/6Joa7b5gSQ7y1Wxf+HR95+0x+Ip8t2IPjZ1OFkfyYvScaAzoOHEpWxkSZ oJnoHlh68eNxJ8o0CcWELc18msWZhb3nQ22wA3oE/jx7u0VJTu3rhKX920XfYMwwTcZnM70AxdMZ qnZI/g8+XZLS8wK+Gji0J4u54fwo+tFlRnf9bIF9/dHkTmx27PfJzzuzi4Rtu5k8+/SZcbZXIN8n RVOtxAT5NIikDUvIKhvTjHOeLE4UMjkA0keV59Nwjmn8PfyrBdIGE9ffmMTUf6LEQOKI7gvtQB6c GMllJuxEZtIeyudSY/DZ1UeTX1yVHlzYlp2S2rnSzpQnttHTQSr6+iXP2XOWm7/f7uRt43zYyVfx cYosOn2kDbz3o/ZxeRWr+ejcmwdd5jjtjdOztYm/6nvsjb+TJzvho2+3ib4r/jg0MWtmAN+Y9G/N pLElUcjkswegb+YohDC8+eydXqNVyCTAaMPA72B8ro/ErJlj7hEwUSrlGSN1Vi+fiwH/IAriOteP 7YXaVY/+XTWqRAUunqvz1+t48svABMTEzz91/4vzB1FQ/60P+3SPrv3091uu5t7CgWvY9jOai2BC XARKhB4xS2geqeC6PAWLL8KclkG9KOtWY9XxX665Hflb2PuFOFSUZfLkSTLNcDxVOHXCJ/6/2W2+ 8elDN/4/2Jo9Uk/8J31e/F/Gxtrwf63wrxr+Y5+HPeuLvyo++wW0Cch3/SXy23+dorOAq4z7yvhQ 1CGjKu4W2SlRtxyr8JfaiE/0a/mbjcSnKvOLYbf8TyGn/AKfaiD+aIWPiwxP9ststhUyztfox3Kl ExF6l9ghRnk9kE5mpCUwnhE6B9KrYVPLdjNG2OTviS3w71tJxXdpzQ9TtsLuCt8bcs6f45e2EH+l Mh83iD+QXgnjOHs34q4Xn1L44PUm2P+NuP9MlvYuCvB/89Bf8jIarQAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAgAAB4nO1YXWgUVxQ+907c7E7+B02iBDpNf0DQZRsNUsGyqaZo1W3J+mBf SjfdXUybzRqzNlnoQ2ggpCKSh74qUQTxJWjbh74ULCJSKK0PhSIUrPTv0RaCL6W7Pef+bGam3WS2 XdKYzFnuzj33njnnnrnnfHPu3Pum44fLN3c8BA+9BAaUyhEIOcaYU6AdYIsaK5XLZT1fDuiJoiHI 468ANgzCGF7PQNEbCitSJ0aB1sWR519zMX5LTr/ilL3xODy098u7zMR+PKRj6jUYhUxNNp1kAmdO f/zc041tK2j7B9H/HJzGdQzDOzXbt9A+xb0BMvb93EOuZ1V/EMbhLKTwyY/gOsZwHxKKe8/XU7HR fgMs550f+2FsO1U/gu1PT0yUHP1WkPndrGyE1bVUDmgj0Frm/8L9+Zcp/xuhrvnveuf4uef/zn+i OuZ/zf7TDun81/cRhhAO6LymawuONTlk9FwYgvf8RiG/8boC1fz+pTh6n60u55fq7M+msk/bQHhA +EUYQDU97U+juv7X93xQJ6xvYnXa52oU7P/6Joa7b5gSQ7y1Wxf+HR95+0x+Ip8t2IPjZ1OFkfyY vScaAzoOHEpWxkSZoJnoHlh68eNxJ8o0CcWELc18msWZhb3nQ22wA3oE/jx7u0VJTu3rhKX920Xf YMwwTcZnM70AxdMZqnZI/g8+XZLS8wK+Gji0J4u54fwo+tFlRnf9bIF9/dHkTmx27PfJzzuzi4Rt u5k8+/SZcbZXIN8nRVOtxAT5NIikDUvIKhvTjHOeLE4UMjkA0keV59Nwjmn8PfyrBdIGE9ffmMTU f6LEQOKI7gvtQB6cGMllJuxEZtIeyudSY/DZ1UeTX1yVHlzYlp2S2rnSzpQnttHTQSr6+iXP2XOW m7/f7uRt43zYyVfxcYosOn2kDbz3o/ZxeRWr+ejcmwdd5jjtjdOztYm/6nvsjb+TJzvho2+3ib4r /jg0MWtmAN+Y9G/NpLElUcjkswegb+YohDC8+eydXqNVyCTAaMPA72B8ro/ErJlj7hEwUSrlGSN1 Vi+fiwH/IAriOteP7YXaVY/+XTWqRAUunqvz1+t48svABMTEzz91/4vzB1FQ/60P+3SPrv3091uu 5t7CgWvY9jOai2BCXARKhB4xS2geqeC6PAWLL8KclkG9KOtWY9XxX665Hflb2PuFOFSUZfLkSTLN cDxVOHXCJ/6/2W2+8elDN/4/2Jo9Uk/8J31e/F/Gxtrwf63wrxr+Y5+HPeuLvyo++wW0Cch3/SXy 23+dorOAq4z7yvhQ1CGjKu4W2SlRtxyr8JfaiE/0a/mbjcSnKvOLYbf8TyGn/AKfaiD+aIWPiwxP 9ststhUyztfox3KlExF6l9ghRnk9kE5mpCUwnhE6B9KrYVPLdjNG2OTviS3w71tJxXdpzQ9TtsLu Ct8bcs6f45e2EH+lMh83iD+QXgnjOHs34q4Xn1L44PUm2P+NuP9MlvYuCvB/89Bf8jIarQAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAeAAB4nO1YTWgTQRR+M9tWs622XW1N6w+roChqLBUE xV+0ogertB7EW21TGjFZ242W4kVTEREEPSjqRQUPgidF0IsQRfCmIoIHERRRD4J/VAV/Et+b3dkm a1J3a6htzVsmmW/+3sv7nc3DB9XPL16tfwEuWg0KpNIBKMsYY9i4BFUAJfZYKp1O05CCLV2kMUUt YOATBx2aIIbfPdDndoUhqRZKHZuTb/D7lockremNmWuT6bcr59bfYxMIlEmf2gp7IOyLZyapwBnx lr7nZc80bFPtfhN0wz5ow18eQT3EUA/NNtrvSSod+TMY9Hsv/Kdg+2r3GaxHvlHYi3rYBbu9bM8i DSMy055e9lRj67T7AWw/8/jGRJwrByu+ZSvS+KJCxj/F4FDxrz/5tIbiX4R+geNfkpc9hY5/qoN+ +Bc4/pmsy175Z8a/lLsUrDwg47wCctfySWDlgyKND5K+Q7FLfkx+QKFJNZryP9UHFaw6QD5B9p+M rRLEFVD4gmZ/U0zVAOWEwZpRpNFN3M6/2zDzh8GEBvF4p+Aw7h9EDSU+mPyBhsO/kDSW+dMeGfvy Hivf8e7OBDiA4J1Cc5gJlK+MssUMMUuZIsBlz6pC1GOcxKBeiAXtsXJnXQVfy2E6ZYx5ZZVQb9cs yiRJ7N3AlqzH6sisjENrKmBLW7xre99eLMfbBO/v/GDKkvAEMYUSDlXbI9GwqTeHe/UWI9oWg5uX 3vfexqY3fOy9Few8Tr9vMbNyWqN6gaXqSKQFIYlXT6Oj9FDAxs812mFGYl1yxZlysSIiV6TKaEW7 YTorekppxXzDklFPD09GJmzxwZF1ANrr6IhGQ+L+mmz8vSobN03Kxs8C2fhJySD+H+x/f3rn69Fu /0EZR9b+hK8wC7t1S8YmuVv7oruMPQBna9SBRa+0vLq15GaOjncE6dxuQ+KdtYR7HPylMhtfVy2c Q46/0B9aTti2w+GzrDIbfxLu2RGX+JFC8y0OXiFuSB1mDt9z6+ezH/08qqYjFpoSz5icjX8If1rs 4HOc8CpTtSNDFdEj3MuOC02cbct2kHHOW/vMeDgKr0kOusnNhmNiA31seqNBAcj3+xfdC4v1f3Tw H/Jy6JGK9/+xS+6cqeTxk+Z1zZtzjTO0tKLa9wbXfz/0P8uWSHuPYRqdcb2pe19bPGLE9KWhBvEq uaHVGRPFXoLQUhhYfq07k0v+/ZT3OHy789RemVxSB49PBkVfYUxRVab1d4DWb4KC76zl1YwfbcQ5 lR9ZhaMt7tHEfOBHtDlaoh20hIHNxNblXnX4tsIP6WCdHP/t5IVihlblmBEnRrDF/nAyP3zTvT+x AHgiBBn6pRo90WUTP/r1U/9/zlJPXX+h5b1b/8v6n//+PHL1H/Vz2o9+RrD+Hyc53PX/4UsNxlv8 Xz5f+9/Fv9smfvT7C1zQUhyNkQQT48GbxgMHY8CDAB4AAHic7VdNTBNBFH4zy18X5KfRUpDDevEi kAYSE00w+ANRE9AAiYkHtUgbMZRSWiSNB9EQQ4wHDgSNkQQT48GbxgMHY8CDN5V48AxR8ehP1ItI nTezs9suFLa4EiB9zXTn7c7Mezvzvu+9nX1bNvfgSeU8WOQQKLCUcEFe0j3CGpVKKUCOfm8pkUjg LYW1RFa2lLRBmP1ioEET9LJrP8StobCqeCDXOHM8f/pGRMi0eNycPHb2+YsC8L8i+ajkyZg6BT0Q yMhmsqhACdqmeuzZmVPO2k6Q9o+y9w9BH/OjEy5nbN/NEJG8n/Z8Bgjq/SaIwAD42c53Mz962Tm0 6toVW7uisfdHDGZiv4i1c3q/gLU/K8QF+ohHhNiWLSvbT5zEP2JwNfxPjt5xIf4LARzHvxQ7cxzG P8efzH125iD+nMR/DmSG/2Iw8S/n5YLggdWwjn7vAMEJWdkeIms6jF+MI4wDhCbmaMwNLhD5qlA/ d3n+JTbiIBsnm1+ozr+nGfMHIAo+/rMv3nXUPyjv6dpj7Mp67DspW9n+KCeAHAql7fFQZ7gH4KdX 7av+5Iaph18GZ1jTfN8GGyqCE8gONSzX4fUrEexQpw6RrjxcokGTepAIHVljb14JYw/0i3BrVaz9 pm4+V9gmjEUUVbyDtXbAPN3SfbE/HA0HY1pTZMAf6w73avW1Pp5Cj7Ub9zg9SaW2Hn4ceBpJfstg HFlsD9zibuDfxwU3fxP0iMLiyyP6yOkzHlgc9fK+QoiiqoQOTyn0ZgPQER/QG9VAr2upbXhGPGdX pYRAIcGRUKZbioTFzkySsx7U+w39FxsMQ4RS2h6PxgIhmMB9TvYU5fhn4WkNAX3vCWfrlaT1cOsJ 0TNPaJLcLcfFugy7+0tMHfddcr/8jpDQrGPncpUpYxSfsUygnCS4W1X8KWYKF5U9UQVhj1AMQ+zV Eq9+r9AYV0QbaaPLrcdGpV4zleLOs94j1JihBSIyDo4pghZ/7FJHvI+VQxf0CNISSdELGL0d3aFA VGsNDGpt4ZC/N030yj2ZI9cKcKovLtYbWlrfeiYaXCCif0zBOxoTiYdmBRetNvTblFvWrJaJBYft HvVxehyasSDXvZ/Po8uwU5mbqntENFrsOiAZ199YF2T5f3PYt1MjoFjrPzuSrf82v2A++M7puSsm 88M7zlhthn6QfyF0RVfgyhTGer1LHbUyVtgbHF+ZsZidMlxiX1TqVcWp+iJnsBpDv8eZsyFqr7JI yazj6Ie1BjAzq8nja2dWcw0KG1W/pJ+PWaPA4uvy+TJ/9yjW/I1+b/f8P1ARHHEy/5vr/c/8v9uj jjybd6d9E2fy/3IUn69QI+ntOl3/p6B0BO1Y69/ZD5nXv/br/43Bb/r63/r90Rj1QJWngvf//ftj 7fo/y/9bn/+tvmbC/38B7KFW6rxxMVGPRo0HTgY8EC/+XLwAHAAAeJztWE1ME0EUfjMLlS5VcKOF GqLrxRNCxZMHDUYhMVE0YKInpZg2YmjLT5E0XlDREA9GTbxxMVGPRo0HTgY8EC/+XLxD/OGoJt7U 1vd2ZpZ2obCLSxTta2Zn3uzOvJk3773vTd++2Tx778m2OXDQAdAglw9CoKCPYeGKqQXYIPty+Xye ujQs+TKtK+qENP4yYEIbpLAehKzTFJalMFTaZ07nz18LC5kSr9sLv+2H2SqIzbBqel+hbOo49EHc k8xC0oEzks2l7bkZE8KyBZT8Q7j/JK7tOPTABc/yDfSIQn26GUP7T8h2GwzAMMRQ8724jhSeQ4fk LrrSion7NAA0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAYAAgEqAAAALgAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAADEAgAAIgQAAAAAAAA0ADUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAANUCAACsAgAAAAAAADQANgAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIBLQAAAC8AAAD///// AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA4AIAAHMCAAAAAAAANAA3AAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYA AgH///////////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADqAgAAcQIA AAAAAAAnH/QifxOWlGzTMfwsWH9Olo2w2JcDsi/nqwWW6U+Sn/5PPric/z9uvxsk/w+C//6vyM0Y n/3f8j+FfW7G1IC//l8B3vx/Myz4vxpXBcVxgEjFAh2EzlRfmf4dcmMvK5Bn/yMbOqP5IFmSz/v5 r+R7sRXKCVRMqJHtMq1v6jcp8rfooyxs3eUGzAZ8fuejOWEft6xLXwWH2q5ssifdB3A2oicbPxow ef/zyDQWM/p1pNNIPCIU2o1YSPUXHKXmvRikKfbbchJM8E451EtyTvYm40NmR3zE7EwnY6kSckDK YWiFmi7s2Jl71OHjWO+5wfRQOpEx2waGY5nedMrc2xS14OxwF/bhRLzKu8vZJOa0UnoloGkvfNv3 dMDdeNIChx8vOiU/dSoME6+2Wm2NMU3XGR+b1Pj1/cDHW4CPTWnG1T7gV5rBuHoU60bgl83iMjYt vsdaq2FQzfh4VKB+xxGnfHWnp3BMGq3EQnk+3e1JL5SrEf7TBpX/b5J1rawNKMeC9Upc5t8nMPOP wxBErZ97ql/F/ZeojP9/h3wao3xf/Y+g/uO7jA5/CZkGjd5hJNBuUri0YpaIFEGuWuIWRC3GaRnU amL1sq/a/i7EW3lriCLGrkANbJN3JookU9h6SBzG5k9MRBz6JgTHYpnzJ7P9eB3qBoEaptynhU4r osbzusS8Qg2BQrPsdjUNjWaXQDsP8y2gXRAEuj0MUI+JpPDudIAmbbT5mQrim23+Die+ZSk8LMJd I6JHns0ZJXem8FDN+0ineQdtOY1VxXyrRrx3/B+O6NdKr2Nt8X+5/Y5W0gxHbTkhS899pi7tSLds zTpgaUUGjmUFf2mvliwdjTLOeVd2KBNPwjytk3BzJ9ywBNLj7XsDnDoqFQQ7DgqkXhn/fzf/+R/8 vzBr9MP/l8p2197/t0f0d6Xz7tX6v9v8VZx/z6Lzd+avk3vqYOJZ2Gr7n7+egJWi08d6XXv5oVhL reHEjuLz72YTlnYeZBUvo5TNyyi1yD6cpzK3VWel5TmjYbc6BVuOjMI2L6PwquyycJ/KGoJyXqdd dku7/AVe7P6lAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABIAAHic7VjNaxNREJ/3ttZm U9JmKRpCD+tFPGgJFgQvYtCIHhpLU/DaVDY10mSbJjXsLaCH4qn0L1Ao3tWLxyoS9KIi/gHxIB48 WNGbmDjzPmJIaNmVQEnJL8zuvPfmzbyvmXmbD++jjcdP45+hC5fAgGYrBKMddQyJ68IkwDFV12y1 WlRlILWGGCj8QWoe9iCGODQsgIu/CtiQgiK+18HrDgUH4gRGgU59fvo0fcr5RVD7/cYg2+/n/lNu 4O9khtiVzdc6Zfdy3y7vLNWZyCmGrGNwE1bBCTrsNkzgLOj8w0hToO1fwfkXYA3HsQx3A9u30D7l QJ37/PQJIeUUz9X853HlHShDQvz8I6bmPxLAPo33E5O8Xjfqr3MB0XGQfjrE0UYKSrABWfT8PPpB EeNAWpXu+fJKG09wpz6/5/aCX0Ef+B/7/cQg2ycfp4hN8YtiAN3pKT6T/4+pdlO9h/Hg6GEaKAf9 fBVX5+FNPQavt2KCNxgzTJPxB88NY4JBmFn3kwDRnrOnzw5TZf2NGEXmFtI2ozbMesZbYW1atNJJ C3HNySwqvig5qhDcDIupunBbbpzbvMEs5E6PTkBc5Tz8GIVd5J4gPUJFdSazPMmMw1y2cmfRW8Nw Ni9s/+a28pMtYXWEw+RivuCU7bRTtRfcQrYIL3a+V18i2YkfVSeS26T5nWPSJ86bDRYRPZOe1Fdr dujjpC/jFZbdVYCVKXP77BdrH31MrNteW2+NnRGruOKZavSmmKFM1tKWJWTJFj5qjHOe8coVpwCb pJduRKfgIdP7c/2rBXrs0hbTV68epJPpG/QeW/oY2UekBwwjg2Gqfe+6+53Ex1z+9rpbdnMVO1Xa yFbybtGenUngpgBczbTrxGbpwsws/Lr4rOTX/r+/JIYIjr/E2aTBAAAAAAAAAAAAAAAAAAAAAAAA AAAAEgAAeJztWM1rE1EQn3lbo9lGrKFqLT2sF8GDIdiTBaVWIyg0Sts/oFE2mGKyTbM1BDzEqyfx LigUxKOePFYPPQh+/AkVxKufN3HXmfcRlqBlVwIlZX/LZOfNzr557+2b+e3mw/vD20+eT36EPpwH C4IwC5mIDUmEaYwB7NO2IAxDNlkkYYqhwm+SYLcHkWLXsAAeHT44UIIGndeg018KdsRRqgLR/uLc E8T0i4uk8QeNYY4/yOfP3CDeKYbYVJcvR323H36f3VjeQuaUriYShGtwG9ykw+7BBoFJ558lGQcT /yLNvw6rNI4bsJI4fp7iMwca7otzz36SqtaFnv91WnkXWlCUR3xM6PmPJIjP472LSjfrxvcbLmDh Maa8sPdRgiasQ4Uyv0Z50KA6UNatO7Gy0qEdHO0v7r49FdcxBv4n/iAxzPE5x7kUc/3iGsDv9Blt P6DPaR3Yu5gC5qAfrw/q/VC8ehxyb49I3UK0bBvFvbmd957ZO6jb5hvxKRnekMwgXyPWtR7JaFPy Ku+0rDCaYlH5RSmoC6kVcELbRnt+OfEYu5gn7WTmEExqzqOPUdgkbYtkljqqkoxqnxzMV/xbS51V l6sVx/4luoEa4QPJgiMCxpZqdbfllN22s+DVKw14ufGl/YrEKX5rPxuvnuP5nSZvzokz9jLOyNnO dWwdxZYjUaSqYuSlr47RRSHEYqflu3UA7o/fXE7AfTRr+OlzHlQMlOevqHLybyhfKF8xOlKGWrZe 9753r2P0M1+7uea1vKrvlJrrFb/mNZzpQpEWBeDSYs8mF8s0CtPw8+yL5r+feRQY+UsgxfDhD25p mNoAAAAAAAAAAAAAAAAAABIAAHic7VhPaxNREJ95W6PZVmyDaCg5rBfBgyHYkz0Ug0bx0ChtP0Ci bDBikqbZGgI9xKsn9S5U6BfQU4/VQw8e1E8gFUTw5N+buOvM+xOWoGVXAiVlf8tk572dfTPv7Zv5 7ebd25m9Z89nP8AQFsACP0hDKtSHJMI0pgGO6D4/CALuskiCBGOF3yT+QQeR4MCwBC06PHCgBE06 r0FvuBTsi1NUBcLjRbnHj2gXFXH9jxrj7H+Uz5+5QbxRDLGjLl8N2+49+X5pq7KLzCl9TSQIN+Ae uHHDHsAGgXHnnyY5Ccb/ZZp/A1YpjltwN7b/DPlnDjTcF+WeoyQ1rQs9/5u08i50oCCP6Mjq+U/E 8M/xbqDSzbrx/YYLWDjGhBcOP0rQhnWoUubXKQ+aVAfKunU/UlY6tIPD40Xdt+eiGkbA//gfJcbZ P+c4l2KuX1wD+J0+pfuP6XNSBw4vcsAc9OPVcb0ftj9nIfc4K3UL0bJtFA+K++89s3dQt8034mtU Mo98jVjXeiq95eRV3mlpYTTFovKLUtAQUstjVvdNDuymxCZuYoa0s6kTMKs5jz5GYYe0XZIKDVQj mdQ2U7BY9e6s9FZdrlbs+5fo+yrCR5IFJwRMr9Qbbscpu11nqdWoNmF760v3JYlT+Na9NlN7z/M7 T9acExfsCs7L2RZ7tvZiy0gUqSofGWmrffRRCLHc63huA4DH4zeXM/AQzRp+/JQB5QPl+SuqnPwb ysXydaMjZahl63Ufevc6TT+L9dtrrU6r5jml9nrVq7eazly+QIsCcGV50CcXyzTyc/Dz4ov2v595 GBj6SyDB+OEP29+asAAAAAAAAAAAAAAAAAAAAAAeAAB4nO1YzU8TURCf97YobKvAgqUSEhYPeFEg EA+aSDBaowmgAf4AwLQB6QelRdJbIxwMMZELiUdNuHnSeOBYP2I8aQ/ePAgRjTc1GhM1ts683W2X teC2WY2N/TWvnbc7b2Z23szsvGaeN27cvtu6CRb0gwTZXB3sMV1jOLgxaQCo1a9lc7kcXZJw5Kqo KIxAFD8JUMEPEfydg6Q1FHaFF2rye+6i+HimRUhau33WzNszM/lqbfwJcyOdchkxdQFCEChJpxky cEa6uR57dtY04mgGQ/9pfP4wzKIdk3C5ZP0KZoTZn3bXBUvWtCNYqfopX6f0RK7B8cO0PmsaVng0 ADgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAABgACASgAAAA4AAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA APQCAADAAwAAAAAAADQAOQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIB////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAwMAALcDAAAAAAAANQAwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgExAAAAMwAAAP////8AAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASAwAArAIAAAAAAAA1ADEAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAf////// /////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB0DAAB5AwAAAAAAAAED AAACAwAA/v///wQDAAAFAwAABgMAAAcDAAAIAwAACQMAAAoDAAALAwAADAMAAA0DAAAOAwAADwMA ABADAAARAwAA/v///xMDAAAUAwAAFQMAABYDAAAXAwAAGAMAABkDAAAaAwAAGwMAABwDAAD+//// HgMAAB8DAAAgAwAAIQMAACIDAAAjAwAAJAMAACUDAAAmAwAAJwMAACgDAAApAwAAKgMAAP7///8s AwAALQMAAC4DAAAvAwAAMAMAADEDAAAyAwAAMwMAADQDAAA1AwAANgMAADcDAAA4AwAAOQMAADoD AAA7AwAAPAMAAP7///8+AwAAPwMAAEADAABBAwAAQgMAAEMDAABEAwAARQMAAEYDAABHAwAASAMA AEkDAABKAwAASwMAAEwDAABNAwAATgMAAE8DAABQAwAAUQMAAFIDAABTAwAAVAMAAP7///9WAwAA VwMAAFgDAABZAwAAWgMAAFsDAABcAwAAXQMAAF4DAABfAwAAYAMAAGEDAABiAwAAYwMAAGQDAABl AwAAZgMAAGcDAAD+////aQMAAGoDAABrAwAAbAMAAG0DAABuAwAAbwMAAHADAABxAwAAcgMAAHMD AAB0AwAAdQMAAHYDAAB3AwAAeAMAAHkDAAB6AwAAewMAAHwDAAD+////fgMAAH8DAACAAwAAkJfq gUOhV8U/ACfzn0Jqt/zPLH/9QvlfB87nvwE7axzOf0bvQOPdZ8/mQv77IQbzMIGen0Y7IrgPw/rs ii2vqKjfBYWctKOf8rhfp411e2F7HSAYdYDs3WfiLVYbqqhMGP1bOchafquoPDhRf1iJ9afeVH+c gPl5HBT7X+ifn0hMRyNALbk/pk26+uDz8Xux4vzWcyHuPa+18BjnwazJnj8Zw1WUD673Xxex8wtA HHrExz58ZZ5/pvjveeyiHP1OopL1G//pUP9KfSSdBym3qR+kvKZenfLYrf8We9dX3/+VDWPvjfe4 kZov8YYfb3RyuoeRIDUxipQ2cZcipY4blNYFEMU4ihBUF/Pp19x5Pg/fkFKSglTnnnpo1c9MDThP I7WOYwC13sTh1nk8MDSRmBpLzgboVEkx+Y1rK0C3+yjTZDdz4Ec4UU1I9Utk53eeymqcK8JCF4eG selwIK4OBxbUkWh4IgLra+8XHuBQez4u3GkJdmsymdDVK1+XRjitHExq8wiLi3koWUQ+J/mjyfBk NIQ1TpE77m8qO8jnwvYPeT3j/J3Ygdlf5EKJdmtyeV7uCSG3NynrHpWF14VY0HQpUFvQlWKc89Fk PBEIQzfJpRNrByyLBbSRmdcKWJ9B2qG+DJ8aPq9RxfUzrCqSrMed5b+DFvwamr40F41HgwnVaE/U vq4ecYQ9M5q/Zqd/0b3BUjViN1Vt3iae6dPDQzrXuWNeCB04KGiJMUmWGb/WC3wpLUn70VxlMSS+ BwXHgDfYbvYOYeutko9Ku965xQ+LmDoZLTVmrfanb3jh8YrPpv3+2N/xPyMHML70SJLqGbhR/wzw q92gLFbrz/Y8fuMLrjpVfzJe+cXTLWUH+c7WH7PdDtafVZJrrT+FDCul/hTP/3HmcQlvqmVY1175 +e/E+c/KUz3/VQ5+AqUeCOkAHAAAeJztWE1ME0EUfjNboN0WKNWUnxCzePAmaSAxkQSDUUg4UA1/ J00spNUq/W8ljZf6E0I4EeLBq0a9aIwaD8aDAQ/Ek3LxDmI8ePAn8Sa2ztudadeFYts0YKHf5nXn zc7Mmzfz3ps3XXnftHr3WdsaGHACJEhnLFCrqyOMqGDsAGZel85kMlglMcpUUVEYhhB74qBAPwTZ OwpJoylsCyfUZPfchPbxTrOQRe3zgL5tOPLRDJ5lYkWmRtjUGZgCb1Ey9ZCBEpRNue0V0sfB6CAI +aeY/gEIs3lMwOWi5TuYR+jXs9B+vqIl5QUpVj766wZ3ZNyG37r+aR0ZUQ/aGtdC1c/3Csrp/2hS 2/n/0w8LFvR/C343ceMtk/8LFNKnzP5P8AwUZ18hfWyQ8/9+iEACPGzl/WweQbYPbs5dLWhVFCbf BDl/LER+A6ObvCz61cHfcQAh4oDM5yzqqtg7EPlbqWhi/Q/wMaq2UXkoR/whRcYfuy7+lAN6fco4 7L6Q3w54p9t4c5Hzd445od3ZqpYlQiRZJvTWkkRnegHfUiMBK6GzLoAmkOnMQgedOXSY3ugBel0x 0BijcV6eZJRgFOd8iJEPidkONZdlFaooBZTnX2dZ5ueFGLjUp3C0lHj/2aD/blMoKtn/dlu++E8H 81fMI/E+iPc7zAfRLzFXx/wP7+x4vtfzdyNocVyc+dWzv3Ih9l6c48I1v7Dk7hpjXlH8xixBOo/h Wj0zNEuxUFHSsgAsEcqGUEudpIXXWbPtbLSP9tnxBnakthHa+J0JLWmRlR4ix5jPRLM4bGODIU/8 0mgyzNKRC6rsXzSV1mY4j0LBRME+6g94Y4rbO60MhwKeILy8/216iZHi+jH9utm3jvodJZo9d8kp YmtArUM+n1fUfLJim8lEXDHzmnkrDq8kZM5/rUPPUBjGxkWbx3XYpkfR5qVkSpsXUdf/O9F8rkte JY8kHMKlbKEvxXFHkoGJ0BTAoFOuf7HmyKuvNi4BMd9ztTjEg6yOt03IP8nprO5j7ya5xCD3nlNO 5pdr1CdF3lIcN5qVMwAaL/NdllVLUJeN77EDzDmdU4RSOpKMxb0BWEc5GJU6YI6IOLay7gCjztLm cKfCfdI9qJWiCmERTJK53Rv+u2hmP0P+yWgoFvLFlf5IwhP3h4JKd6dLvQ6fHsnWqcYqmM5u+Hn8 eSSPcJ181NCYf4WXWf4116yWdyb/2gn9tfluhf0Qf660+mb/x/iD8wLY/fx/S8OoYkfwBzKPhnkA AAAAAAAAAAAAEgAAeJztWM1rE1EQn/e21mZT0mYpGkIP60U8aAkWBC9i0IgeGktT8NpUNjXSZJsm NewtoIfiqfQvUCje1YvHKhL0oiL+AfEgHjxY0ZuYOPM+Ykho2ZVASckvzO689+bNvK+ZeZsP76ON x0/jn6ELl8CAZisEox11DInrwiTAMVXXbLVaVGUgtYYYKPxBah72IIY4NCyAi78K2JCCIr7XwesO BQfiBEaBTn1++jR9yvlFUPv9xiDb7+f+U27g72SG2JXN1zpl93LfLu8s1ZnIKYasY3ATVsEJOuw2 TOAs6PzDSFOg7V/B+RdgDcexDHcD27fQPuVAnfv89Akh5RTP1fznceUdKENC/PwjpuY/EsA+jfcT k7xeN+qvcwHRcZB+OsTRRgpKsAFZ9Pw8+kER40Bale758kobT3CnPr/n9oJfQR/4H/v9xCDbJx+n iE3xi2IA3ekpPpP/j6l2U72H8eDoYRooB/18FVfn4U09Bq+3YoI3GDNMk/EHzw1jgkGYWfeTANGe s6fPDlNl/Y0YReYW0jajNsx6xlthbVq00kkLcc3JLCq+KDmqENwMi6m6cFtunNu8wSzkTo9OQFzl PPwYhV3kniA9QkV1JrM8yYzDXLZyZ9Fbw3A2L2z/5rbyky1hdYTD5GK+4JTttFO1F9xCtggvdr5X XyLZiR9VJ5LbpPmdY9InzpsNFhE9k57UV2t26OOkL+MVlt1VgJUpc/vsF2sffUys215bb42dEau4 4plq9KaYoUzW0pYlZMkWPmqMc57xyhWnAJukl25Ep+Ah0/tz/asFeuzSFtNXrx6kk+kb9B5b+hjZ R6QHDCODYap977r7ncTHXP72ult2cxU7VdrIVvJu0Z6dSeCmAFzNtOvEZunCzCz8uvis5Nf+v78k hgiOv8TZpMEAAAAAAAAAAAAAAAAAAAAAAAAAAAAaAAB4nO1YzU8TQRR/MysIC+GjQSzIYdXEeFBC JDHRGJEoRE2oBEi8GYppaw1tgRZxEw6NeiDGA8GLR00Md/XiEYkhelFD/APqwXhUIyeV1vd2ZvqZ lm3ZxND018zum9mZeTM7773f23762J549qL7C+ThPGiQTDVCfVYbw8JVpQ2gUbYlU6kUNWlYUjXs KYxBBH8xMGAIwnifAzPfFEqiE+rSZ062wT8IC1kTj4ez+04euno2NbnB6pWxWPZzDabBV5bObOjA WfZ+7IxpwtIBSv9F3H8IZnAdU3C7bP0u1E8+oGzfzhjyG7+Uudz/KL55H0Shz/rZh1vuf18Z+mm9 n5mQadx21vtLyrIfhF/XUN1w0v/JB0r5/8zw5gD5v47yBYf9n7TS3c4Yh/0/h/PsjnPS/8mVy/X/ c5LI1bobIDcOKKh4QO+sFg+qD0MwC/PgRc8Poh+EMQ54ZO2OLa80KrT/03Y72kAl+p3EXtZPPk2h gMIxxZA6LJSfEf83yOe6vNf8v/rQA8RBv9a7pT2823DD22W3JWuMabrO+INXmtbKoIm57g8CtBfY nrIdJuvqG7EdhetYVhg9w6xXe29p67GekqU1ciUJFiOJcZzCknqZW7Y1pfs1c4MnmAulY/Wt0C05 Dz9GYQ2lVSxPcaINJlie+jTDiDd2a8KcwXA2aun+ww3pJ8uCOzm0TQRDvqjh8S0YY5GQNwyvn39f eIPF6Pu54GvxL9H+TjLhE6f0BGuxRg6aYr54Mms+TvONm6GpyDRAoENfOfHVVWQ+Zr23H+l54+y4 9RYDpi5Xr1s7FMm60OWy+pIuvMQZ53zcjMZ8IViieSkjOgwPmTqfy99coNYudDH16VUAz6DnCt0b JjdbinQpAMPIoOny3PNyv4N4GQnenItEI/6YMTQ7740FI2Gjv7cPDwXg0ni6zTosVenth60zL2ft 6s/8JVFD+fgf/E+2PbC7ZeegXP1OYy/rp/8iSvE/Oari/loOUH3YbfymccX436MJ/v+d5v9tcIL/ QSvF/2t8Z/7P8DVdd+L/G13+QC7/x9ldTkMXTVU/AqJeSX6RmT8/H0iwRzbzjANu/XF+npG9bsX9 ar2rlecZAZpX5Rn2+Lu4/Yj88+/6UdnzyXQn9HR2WbLKP+8tQkEOqlMrOMP/tMFMnpQ5g53ypGrA P4/zOz0AAAAAAAAAACIAAHic7VdNbBNXEJ731gl4Yxy8+SFBkVgOoEoE4yRcQFARaEqKIEUJ4sAJ EznEKPYmsUNkKYcoiaoIcUAgJNRTK6HcWzhwNAhVRULApfeAoD1UFUWqqqotMTPvJ5gljtaBAEl2 rPG+eT8zb95+M/P20cPI7Pc/bH4MLvocDJgrBKGyqI8hcy1sBKhQfXOFQoG6DOSCTyuKusHBXxZs 6IA0Poch54bColSPKNC66P3zBxIheTn8ZfHc4798ewXiPzET2wcqNaa+hgFIlGWzmEzgjGxzhT0v a6qQa0HbP4T+p2AQ93EGzpVt38KIKD5Pr+v61JMr/4/jyScgAzHx804N6D/FYAC8+0/zTwVkez3y y0XwMaeYziyEvAFkvPu0OuhDxn/s5fWrFP8U+n78S/rY8a/3TSLlAR3v61AOQ+k1ADIAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgAC ATIAAAA2AAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACsDAABcBAAA AAAAADUAMwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAGAAIB////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAPQMAAMsFAAAAAAAANQA0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgE1AAAANwAAAP////8AAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAABVAwAAkAQAAAAAAAA1ADUAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAf///////////////wAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGgDAAAmBQAAAAAAAHpeDX4eWA3UAUMw AnGM/CTGQRrzQJeSznuKSnsJ+Kf6/9DLRI9Urv33TSvZfhDknZ5yN+UAutNTaqb4p7uBjvOQelL9 D6s2fgJABCgHAtSAzKl1QDUBYBNQbvJzxKdODN+QYUoMuWs3vcNjyd5hJ+P0Ze2OoZF4Numk7bZo TFwFv+jBPlqnscMUFvU3YgiB0IEDDQEaQ6QZIU5IaxKjhLQg1y1ZxcQXJUcVohVlDaqvan5eiM8a UEuI215ZDZtVzSMk5rF1CzmPULxmyCpPc0JwLJ7tP5EbTJBnhOl/uVwBat87mdRdy4HvNahVg60n Fbrv74juO1lDe/+Pj8/J1ZeY0MFh44lkKpGxuxKjdreTiqfh1vXno7eR7diL0ZZI34y0w4T9VvM0 H6+hpdFcUMkHq+kUM8l0QvdsNwOyp1+vORikNa1JLR9ZR3KLktPscgXJY/PyPkPKWuNu4W2vk+mX XtiFpXnBhZ4/hTcSE+KwNUCibfDXnh+HirNMafw0ifzz/50bamZnWz001TeKtsGYYZrMmugFa8JB ziD3gxEmkEyMAZ+6QR5yeAcyqhlUMWuynVKZSVoBpW7a1Tf7gU+34HMHPluV+SRyWm4DU2NVhNEQ ljQ+dduQuvh0TOgqnv/mXOnAVN6wJgeEuaNkbiK6NA9azZtsW0Qgw5FvPs8nwyTHlHyT3QvJcTd6 Gfj1f23b9+v/2qblrP+7lqn+24vW/9lPrv7HG/sOu+v/RVH/m1dQ/X/txXLW/+m1W/+bl+bBu9X/ 8tAr3ztXKL5oHLJIw1FHI+6ukAccPb4lQHK348ZbeXaL8UZ6H7AZobd9IX846e3Jpc44eLa/N5j2 z08tj/6k2T/iHAcdHWHfbSB5eN6/vIios2/ZBZfdP8JmrrRdtz+n+WfrScWOebudlSTvd+imRDnM BJmriaRtS6xVtscZ57wnl8kmUnCY7NAdaytcEAvo7+mvFrh9Nkrgqau96yvP4PNpxVM5X68fMv4X /t4sL/63NpqB5meWR3/eX/zfrzObS9td1vifITvu+O/8zY9/nxaiV69rzQ8AAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAAeJztWGtMXEUUPjN3oeWyvC5vCnZp7YMEEIE/mmCL dqlEoAZapdUaKFlwG5ZLu1SCaSIB0hBNfCQN/4w0+sMo0ag16R9T2pjYX1AfMVH/YIKtf9Sa+Eqr rOfM43Z3ee0ilpJwNoc737kzc+ZxztxvuDqdMXPug4LvIUoeAgPmQkmQGGZjqFyDdABT2eZCoRCZ DNTQhqwraQYbf33gAS/04PMkDESHwpKSAwnOntP+8ykZIZPydV143b2Hzh+BAAAAggAAAIMAAACE AAAAhQAAAIYAAACJAAAAlAAAAJkAAACKAAAAiwAAAIwAAACNAAAAjgAAAI8AAACQAAAAkQAAAJIA AACTAAAAlQAAAJwAAACWAAAAlwAAAJgAAACaAAAArgAAAJsAAACdAAAAowAAAJ4AAACfAAAAoAAA AKEAAACiAAAApAAAAKoAAAClAAAApgAAAKcAAACoAAAAqQAAAKsAAACzAAAArAAAAK0AAACvAAAA vgAAALAAAACxAAAAsgAAALQAAADDAAAAtQAAALYAAAC3AAAAuAAAALkAAAC6AAAAuwAAALwAAAC9 AAAAvwAAANMAAADAAAAAwQAAAMIAAADEAAAAzQAAAMUAAADGAAAAxwAAAMgAAADJAAAAygAAAMsA AADMAAAAzgAAANgAAADPAAAA0AAAANEAAADSAAAA1AAAAOUAAADVAAAA1gAAANcAAADZAAAA4QAA ANoAAADbAAAA3AAAAN0AAADeAAAA3wAAAOAAAADiAAAA6QAAAOMAAADkAAAA5gAAAPkAAADnAAAA 6AAAAOoAAADxAAAA6wAAAOwAAADtAAAA7gAAAO8AAADwAAAA8gAAAPwAAADzAAAA9AAAAPUAAAD2 AAAA9wAAAPgAAAD6AAAADgEAAPsAAAD9AAAABQEAAP4AAAD/AAAAAQEAAN1R8BkTMWXqmDoA3eCL y2e4mMAZ+eYq9mJpY6Fmgfb/CM4/AL04jmNwPG7/FmZE+HrG2q5TPbma/+O48j4IQoX4xS55OH/K QRfEPn9aq9ZNskzt/gkb/5xSTG/IAJnbSwl1sxk28n69yp3M/5mvoYPyPxlU0MBG/q9V/k8kyLIe dxJEngPhos+EFKyTiuqG5c+FDVkf4oUTcAraMfP9mAc9eA40KfRcTFnpWUH807dljMVSMzaJ1/9q y3r2r/k7nd10htCxQPxMf9fpXCCqRmc25b0+A9JQc0FyhEzVB52p2UDfBIB7gc4mgHzUAtQtqIWo Raj3oG4Fih2AYtRtqNtRd6h+duJzF2ycMXdCGK6yYcoYiv520/42+jtO2kG7s8/jPXGqvc9v93iq yitEKOxrcWwiPDQor4LfHvjwRHiUjVbISJEyrXL/KpN+dewxFcv6jtmKAfEFvsjZRO8wEo2XDLpl Foq3FKlJXJfkV5BKjGMXolTO8pQt2ann5m2umWJiADsT0zAyyZ88kSaxdAF1HEMyzyUjnuq4obG9 79mDA714HN4QOXGTyxagxl3GZN9Z3MMPG1TKxNL7idrWuFnb3kzWtk8yta0oW9v8udq2J0/b7tuq ba94aN63+OCc9PyqWEUXh/SD/oAv6Gny9Xua7UB7D1x465f+S6ieil/7f8rtPCvHyMTYK81BfqCY mpYOJKmc5PD35efVnrxdnQOFOfmibDBmmCazhlvASGOQjKVa2keTn6kBI5WWeug08JGPDKM04jVa 8d1oNVjD+7EpF++aRP3dwEergA+VCA8mZ2H/UtDSoiwH1fOQej6hnk+qZys+z3i3iZFYw82x+rSG usEaslG7cIqirQ9b4I5nYAeVOKFLBs3XjUjFLbYJYn0/ak94VXwj12Fk0rCGu0VfDeSEj6HTMXTo LJU13CEGWIVvlxzBct4j/ZUxLmLwhrO/4/yihzbzT1vibw2J/1L4HSbxHwq7XXtMwk0OfiwhHP/M 6gSuVXiGb2cSR8cj7SXFY8tA4JiNg/s0zXyh9Adr0XiU4+Zq3C+z+7dSv722xhczI/HDLsJdyq8n tJjfI/mmd3G/kes1b7+GShF6oRkZeTNy8zqohwbENXhPeBCehn3IkjqQMQWQHdF9qdKcYrNbaFwn 1Tin2JU0iU11gpggT1pQ+XaLW+r6I3J4kHHOWwaCfb4AnKVx0he3GF4UDejPo9ctiF4zIzpplDTV NtUvZJ+XZErWiv/9HkvFGCVe/6st69n/avO/cM62HP/b4HdrL3cz/3s3S/K/4wma/33MV4P/TVpL 8b9Ba7X5336H/xUlaVtKurYFMlbC66ZTO8ejeV2ZdZvXETZSaWWD/h6fthxOIku33eWTbSYMyf9u Xv5GzaftjRz46rU8UV4X/O//pVcL04O7iP9Fx0Ikp5owjqRTTDQ4HOo7gbttHTOtmwlX2bp+kMYD 1U799wT3O+1gt0tiGbNtDgeLL2ajOWsir0+hLirmcbt4cyFy/mCUJFIXJbbG5xPC5wvGMwLvnsdl IYpTHs0xP78ya8U4n3H+ekYkB5f4NgeXWHPwce5NJnzdqS/xj059ia85+5a9iXCNg3dxiRfg5Euu X0j063P29ykRDx1OPJSJ/d7v+NkrTumWhTj4f9j/1btzjGSb04vv0/w7R1r6yu4YGA9fxh4PU+yy e8V3gnHqN/pOMHst/jvBQmP7Fwr4u9MAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAeAAB4nO1YTWwbRRR+M+OYZGOaZikhqSK0vVQtCm7kcCiCVuEn FKTWRU4lOEHcyFaDYjuJnUYrLm4SVVFVoRauHAChHoNAQsrRRagShxYuHJHCoeWCIEgc+Ckx783P 2t7Y1dpYrVL8ovHOm915b36+9+abfPdt/+bHn+//EXxyHARsl3sgXNXGsHCj7AWwdNt2uVymJoGl 3JFdJQnI4V8BHJiALD4XwPVD4Z4yAF3enhM2+C2FkJJ6/Ur1t1sHrt6C5A1GmCqFDKZOwyykmvJZ LRZwVj2fIH1sLPvA+H8J55+BORzHWXinaf82+qcYMNgP0gdDB9K6zvX8X8eVT0EeRuVfcBnU8w81 4Z926C2h6tTvn6r129blEWzvBhXbHXl4pZ3xT5C6V/zDl5/8QPHfC+2Pf/JKzyB92hz/NWde0H7t jH/KP83G/zkd/2bcPVCbB6rF5IRHQeWDCHTO+YdFJmAeFiGJkT+DcZDFPBDX2vlAUem0iP9s0A8D SCv+2ym72b/h75QOKId0YSF+Zs5/ygvE8ylnU9xTDtiDpU/369fPDk/YnTIMdB7c/Sqh8VB6YwA+ vPm4rAvGhGUxvroh+MVjwNdiwFdLwl6ZBb58BOyVk/gcAX7BqS2r19X3+BR9DHoZX8Mjrb8hdg32 mNbNHfMCgu1dVIYFvUMkivcYjXZYviWk9nBTU6cg1RhHE7IWZYO6rdf7LsLH+XiEGMDBcB/s12cm MfIS1q6RhjC/wxTi6ZsInEoWzp1x5zAdTknff3NHx9kVcgohDnvPzGRSeSeeWnISuUwyCxuf/rp0 HYsz+ttSwk6v0/yeZiqmYtYmu9pLXUddZa+43Zo9Jtdti6k4jVlFdi1MLQ5Kt255M0xGRzz9Roj0 I57+Pic95vhHQktNI5l0M2dzswBPDlnfj9y2G85MjYSBsbtukd0Fz89Id60+Lkif8/QBuf/zO8YB vnG8PWRlGo+jsiLG7vkeMnHM85NmSq8z36Z20j/fYhdZOOn5ich1nnUsjSNLYk1usEaRLfvqORYZ 53zSzRdSGVgnP5R3D8Al2YF+Xv3JBv8cRd2YAoi/EH+twSufMMzewtJx5+PuT+DPqZnphVw+ly44 E/OLycJMLuuMRUflUfDypNcmg8Uo0TH4/dkv5oP6r/xLqSP3Xx4E/6Ns2/qNb6c067/dspv9d/jf /1vuT/5vjf89hSD8DF8c9PjfB/LM+4/8L1QMN+J/G1jGEf5/iPr8b0vGxF9c9QA9bmIDZHsfB57l VHsMa193tcLtkkPpo+aUV0xiiv8imUXUVfplsaYYm9az7DnJpMbcVrip4f+GLmx9NAh3rwzKuub/ 9so0EJ8Xe2hx18aQ+CdkLYa1EyD6OFJ8eyVObcuHgL7gy4elBYsvR+tuuyed8//BSgVv3MdoN/lx ibvDrtG/CSmcGT0v9UM7cBeESVfjXPnl2u/PYkraje+4GzVn1z+fy+JFGScnvLhh0k/CNXH2jMxA 0/XuZDU3kMUB60//DaTxfKb48+rG4bZwEzhKdqtvAhQslZtAZY6t3gT+BYKBiSgAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAAeJztWE1sG1UQnvfWcZO1 29SbxNhRBNsDFaghzQ9CAhGUtLgKVRuQUyHEhaSR3RjF3iR2k1oUySQRihAHyIljkFCOlaAccnQR qlQJtT3APSABFyR+hBDiJ+bN+1lvNnGyNlZpisd62TfvZ+bN2/lmZnP3Tmjzw487vwYXPQcabJVa wO8YI6xRxRwFCMixrVKphEMaa6UGHSiKg8V+OTAhBhn2nIO82xX2pDA02e8cfYPeFh5SFNNnnGvv rpy9QiZuEvSpIb/yqRdhGhJV6XSSDpQ47fGyJ8JaOyj9p5n9aZhh57gIr1et32D6EQPK973sCbOW lH0q7X+J3XwCstDLf94pIu33VaEf177qK/f/dtzflmyH2Hgzay0g8N2gB5PqiX/EwF74X/vlhzcR /0GoP/5RKz697Kkz/rflPK/76ol/jD/V4v9LIvrq3DpsjwOKjsg1Ki4cBhEXGjHhwaAYzMJlmGDI TzEcZFgcGJXcvCdUmjX6/x2vCz1QLfrrSQdZv6rpMXYjppvYE0OzM/9jbMBaH+M24h9jQivwTwAI AcZAgDYQMbVDynlIPhtx4v6mLv7+//rsuvSHkYEwdIWjvK8Rouk6MRYnwVi0WMuyNgUae/+ELl4F unxd01oJBIixNIyuoOMoMC6OUt8eBLrSx54n2LNfbk+xlhFimAsFQgSnmIvR5RtSFl3p5bKc67ev FQdYLmrG0jRXdw7VLfY4oeA1ruFa9H2fxALy6hs3yAr1GJuI+HCOIUELUkRKF59FpLRQ1RNZGHuE MhG810MicixgrwvSTQ3aETHH/a3QKXM2IqnIehusFRmUPtAE4nBNEM5P5KYu5GcSWFUhJv+gYgfI cz9BhOx2CvQZDXttrPdNkxr7LaTGXm7Ds/9JC1ti93u8CvBROHohlU5kzdHEghm30hMZ2Pjox4Ub rJm9Py/0hZLrQg/h+vv1cVpow609+RbJn2rFW8ymMgk1clz3iZEptedUC+7pTyn+7CHk+ySfIatN yF+1+Wc1wSuJT3JrJ63slLDCLNVmBeVyfrKt+ZQ8GuInswRfpEtHkO+11PytoJh33x6p8vaEXir1 vqudNlDCOUtZ/Dnnpy01/4gP+bjltrc6vW57b5N1Lnd4N3soyh3Lpy9aDFvHorqv+1vDoz0Z8ju/ xxlLveG1w8jP2fYV+Ru9tEMvuPR+0aF3V9brtmecPtaMIk7Yekf8yA9ausSQznEmSl6h2+B7pe4C oZSO5bO5RBrWUQ/mvGPwDt+Af0a+N8Btswa70+jw6Av4rBxX3mJJ9A3GdGk4t1XSdDnv+nbCHHo+ NTlnZa1kzozNXp7IpayMOdDTy1Px82P2GA8WiukZgF+f/mTWeaZ1jDJsz3fEHVeI4196iq6QDv7c z8PiRvKaij/i5jfJ+wGOnHwtcaYsT92yqD/69QJZ9+OIyahZjrzC33G3zd/kPn3S5lcpx6y5n48/ HNW/cvua07LtvlYg13Tu07ae7ubt/BD38RmbD/P3P7vjHOA6x2tRPV35HOUbUXLneTQdtPUkieCr i1H/Rf2PDveUl4UeqVr99aaDrF/9/17V6XvV/7XU8o36//6me5N/Ktf/6vujU67cmN/x/bHj04D7 7T2o/0NU5OlVour/W/y0/67+H6KbpFL9j3l6jeyWp0X9Pw61VL4no8mYO08/TnbP0+7seCmim+6s VJa3Myud4bc4l6+h8oqhXGflhVSuvMqZeL/Kq1H/e6//G/Xf/7v++wd4mKMGAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAIAAAeJztWN9rW1Uc/55zk265zdol/WE2CmYPDmEzpO1eFCd2s1Kl66Qd PghCs5KaSJPbNpnlwiglLTLEh+GTTzpB+qjY+bAHhUxkODY2/4A9VEFFEVSQKTobv9/z4za5NuXe LGzrzLec3PM9P77f8733fL7nc/r1zcj6B5/s/wZc8gwYsFEJQVtVG8PCtbIXoF21bVQqFWoysFRa sqNkHCz8K0IchiGPz3mw3VthW+mFoPPNaW/wG3KHlGX389U1ADYAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACATQAAAA8AAAA//// /wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH0DAADjBAAAAAAAADUANwAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG AAIB////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAkQMAAGcF AAAAAAAANQA4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAYAAgE5AAAAOwAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAACnAwAAlgQAAAAAAAA1ADkAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAALoDAAAUBgAAAAAAAIEDAACCAwAAgwMAAIQDAACFAwAAhgMA AIcDAACIAwAAiQMAAIoDAACLAwAAjAMAAI0DAACOAwAAjwMAAJADAAD+////kgMAAJMDAACUAwAA lQMAAJYDAACXAwAAmAMAAJkDAACaAwAAmwMAAJwDAACdAwAAngMAAJ8DAACgAwAAoQMAAKIDAACj AwAApAMAAKUDAACmAwAA/v///6gDAACpAwAAqgMAAKsDAACsAwAArQMAAK4DAACvAwAAsAMAALED AACyAwAAswMAALQDAAC1AwAAtgMAALcDAAC4AwAAuQMAAP7///+7AwAAvAMAAL0DAAC+AwAAvwMA AMADAADBAwAAwgMAAMMDAADEAwAAxQMAAMYDAADHAwAAyAMAAMkDAADKAwAAywMAAMwDAADNAwAA zgMAAM8DAADQAwAA0QMAANIDAAD+////1AMAANUDAADWAwAA1wMAANgDAADZAwAA2gMAANsDAADc AwAA3QMAAP7////fAwAA4AMAAOEDAADiAwAA4wMAAOQDAADlAwAA5gMAAOcDAADoAwAA/v///+oD AADrAwAA7AMAAO0DAADuAwAA7wMAAPADAADxAwAA8gMAAPMDAAD0AwAA9QMAAP7////3AwAA+AMA APkDAAD6AwAA+wMAAPwDAAD9AwAA/gMAAP8DAAAABAAAY2c/u7XGUlcY7aln2/SeOgkzkPbls1pM 4Kw6Hi9zYli6Qfs/jvHnYBbXcRpe9+0/iv4JA3rve5nTi2Va1bmK/yV882koQFL8eZeYij/gwz+N fSWwWf+n6v1tqLIL23djCYHEd0seTmkm/gkD2+F/6ePbnxP+w9B8/JNXenqZ02T815x5Xuc1E/+U f/zif10d5HrdJtTmAS0daozOC3tA5oVWTng4ZBjm4AykEPlZxEEe88CY0t7whMp4g/v/pteBHqQR /82Unexfc3rK3YTpID4pNVef/5QbiOtT3ib8U07oBHEFgAhQDgToAplTe5SdR9SzlScebOkT3//O FxfVfhgZ7IW+3n2ibjBmmCaLlqYgWrKwFLBkwMDvz3jpLPCVi4bRyaCdRZeHaCuY1AqojZPVN48C P9ePz0P4HFDTs1jy0gxuofYIoy7cYnzlsrLFzyWFrerxtWPlAlbKRnR5RrgbJXelhH/kSOzQ3g8o LJCu77hhJOrD2BELUB8iwQhzQkqf6CWkhLiuyVOYaoyjCVFLsJhqa3fGhfm6Ad2EmINtnbBfndmE pDLWLmEpI5TeNSTiaEwYTqSKmVP2bJpYFWHyLy5ngFr3E0za7ubAnzKo1oW1b4O67XZEt73cRWv/ my9tyNnnmbDBYe+pbC5diI+lF+LjVi6Vh0sf/rJwGUs8+dtCf2R6Vfphwv+AOcmXumhqwg4p/Vgn vcVCNp/WLQfNgGzJ6DnHQjRnIKv1F3eR3q/0PHsnSPpZR3/akLq2eEREO2UVMjKKeKWxKLiw86sT zafssYhYmSX1Ml/uID1p6f6rYdnvfnvM59uTfrny+7ZxPEoWRi0d8ZdCn7F0/6MB0sctd7z+/Lrj vcFWhd2hreLhZHfCzp22EFsH9pmBw99FPcaTZ3+K9zhr6S98YQ/p8058ZfFFX/uPX3D5vd5jHq7v 1x3PJH98N5k45PgdaSP9qGUqDJkCZ2KbgPQdFXOV7yXGOZ+wC8V0DlbJD515B+AtMYF+Rn6Igjtm A7aWsaGxF+p0bSEMT0nDVHnHdXeiM/REdmreKljTxfjw3JlUMWvl44OJpDiKn5tw2kSy0EpiEH5/ cm3Oq//Nf+lpSSZ+6rhf62nJvZX7wf9pV716d8uuEb/+my072b/+/30j/N8Lt2/x/wdb7s35U5// 6/vHkBq5/n4M7pyPibq+fyynnQuAuiWE9S2Bbg6lRXklEfcA/E2Bj9sAxV2P//8clPz/Pa75/0nW DP4/GdyO/8eDd8P/Lzj8fy3QCNe/3jN9zc31bwUk19d6hpO+aEv7k75Y+KZ9N4v7ni2Kd5i0G2HZ 1et2s+yrgnWmbM1Crwh91InniPjyaXsLll3DSr/qMX90s9L68XzE/hB25+0GWOg1stscFro9/2/x v/+3/Auvqc0UAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAJAAAeJztWF1MXEUUPjN3+bss pVx+W2u6xB80aRHlqQ8oWEGNZTVAotYXt2ShW9m9wNISEo0IavxJsA+kTzaxiU+GxKh96IOJ1BjT xFgan4xPNMWiD/4lRhttWc+ZuXP37u0uvXddKdQ9m9mdM3/nzMx3fmYvLNUsn/po50Vw0YOgwVqq AkodbQwLV8x2gBKrbS2VSlGThiVVpC1FfWDiZwJC0A0J/B2HKTcU1qUGRIFaK0D4OC8Rsii7e5xj n1/aN8cjXzKBKV1h6kkYgagvmU7SgTOSzS3seZnTgqUOlPz9uP84jKIeh+CIb/kGWoTzPL3OG/It KScxv/LJXusCsh7Eci0LLsqwvRxLBZYqkGe75ihFujWokPZPNrie/XdeOvYO2b8w/QLbvyIvcwps /4xioIp9XubUQNr+u2EMjkIETz6GeiTwHsIWd8zTqYRQfgDScdeL/FosJ626mkdrkB/IZt8Y6mEb ZMb2apC+oegLtjZxy/6eQsuPQhLaxMc7NeUZ/1T8KQTlI7+QtJXlq5ye/BddCeX0lJ854z+56kqQ uQLlAuQLyP7JL5D9G9Yv+dR6KJxPKPqW/54Y3pamSwy5Y3cjfvXGBsfNpDk0EeoeOxqZiJmJUHtr m4DCI/12m4CHYlrb4fd9H485UVbJjNkwgo3P3AP8jXbgM/eKdp3vEvi7+vkr1shvn2mAd7+uF3WN MU3XcWo/aNVMLNJF0VPnr3eAhijEhkFaFVfESDwzgsXEMowzsdkacUB8R8SIJJYYloSczl9d1IzZ ETUMNTmB+p1A3fhMK7JU8STKmI2iirjPGlzzrEbaBnFsm4z1ui/Be3zZL92bsl1m8eqNPoCiPsSO bzTqQ0vWfmRk6btEL1l6BVc1mcWIFz3HJUStlTVZbZX2uCDvDEAVWfzdpdWw08p5yBMsYu0MlkXE xhVNegwaE4TeyMThgalRTGeWhU/5i8sZYOm9l8m163iIP6tRrRZr9wVU2+1ldlu5ajN11bZUSfv5 m0+vyRWPM7Euh+0DsXg0GQpHJ0N9ZjySgDPv/zJ5Fkuo7bfJww1DLVI2Ezo9oE/z2SBNbZ2qsPho OZ1sMpaIqpYXAtQyYg5H5ZwF7QjdP7SbWXTgpEP/VPyQiRd9ukH/5NyKkUMHLs7hV1uX93iqkpb4 05T8d5rkr1j8B0zyf5hq/NOlxK/a4yX/gz1e8pdNtdcWTnzHdXozn2cn9eagzuNTnVY4YMmZYx1C zxFT9feUER+x+/eXZY6Pi/MctPXsFKjut/QMpfLT032+y/wOsUJXtv1n3Fu5od+Z+97c+59jY2L/ o6ZuoV8H6WWJpCxDjLUwMs045/1TyYloHFpoXYq2zfCWmEBGt3LZAPceNMhO4a7w4/TbW5+JFcmn sfJVVSZWJJ/GiuTTWKkXd9RZEOz81Dg0nws7L+7OxMK13U7sTPPm24iP2v0vNTqxsqDpdZnz367L nP/aNuf8Ba25gvhH7fFvCr7P7t8bcPb/Oyym9+3GYjDwkMBM2FT8EyVO/mfWUyKx6he7X1TrL+/5 3lj3/IvxI7/4cXDHEGxk/HiuQb/r9EUjhw75xw/1/73CwGbKuTeTLrcqFeL/J+U3iDxMEXHt5A1H eSfnfgq47P9CvjN3uX+3zF0U/1ltJv+wiIfD2eJfhq86uEPvzh133L7qPFsRcX3cVPy5asnnkUPN kxxnDkVfj60a4M45bpRDeaWNeT+vJx94uR+FXXQz3g/O2LmZ3w+546v3HGy+SV/NHbcL+n4AWtf9 frhwyf/7wc/7b2Pwn/v+rvv/6FQTXD3eJOo3/f+jLfD+K/r/7GfolTaD//ejr5v+ASPgFVAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAACIAAHic7RlLbBNXcN5bxyTr4CSbxDgIqdtLikSxTOilValI 21T9CLdKOFSccCKbuIq9SWwaWUJqZKIKVRxoT5V6qCpVvReQytFUatQTReqhPQaKKqEeAAkJxCfu zHv7NsviRWvYElw81su+eZ/5vZl5s5uLvw2sfffj9kvggTdAg/VGD0RdYwwbV0g/QLc9tt5oNGhI w9boQFvBJFj4q4AJE1DC5yJUva7wSEhAl3PmEfKPC9JD6nL6Hfda80uWj2RXWS/290eVT30Ic5Br iacbdOCMeHPb94LsSWIbAsX/LdS/CPMoxzR80jJ/AyPCbc+g+/Itc/IF1ip/itdDEdnvwnbftX/d 1ZpBHNfT0W2FTqz/HyDM+KcYfFT87/9j9AjFfw+EH/8KguwJOf4Z3YHq7gu2ZyP+J2ABjkIWLV9A OUp4Dhkb+zSQVUzkH4GNWAzCn3T/3e6rfVvgwTxAoPKAjnMxbH3wYMz75YgOtA+o+o38NwHh5fRt Nt2OjzzbEEb+YS3mH+7KP2GAW58QyT4X/PHseLdnbDn+Tzwk0TrwjAO366+PsPLLQRnS4hccko/5 /qPeP8KAdo6/zeavvunQ/U9HQu+DVJpTPUh5gWp1Vf/Rezu991FyoFqwH9sAyHt+0H4Og6wjOvd/ +4A6e3WPq298o3iIJ3EiGaE59AStl5On7BCz5Ck9XPVkFUA9xpGE6KVY0h6LOet6uRmBYXoDGo32 wXb7nYk8qY69c9jq+HrypyY9jtb0woFsZfZgdR7LkTXhk3e43AG23LuZpD3Egb+mUW8Qe5e71Nht Q419PESy3+XL63L3KSZocOg/WCjmymYmt2ROWsVsCc59f23pPDYzfWPp1nA+KvkwwX9MP8xrQ7Q1 JeKD8JU+WlEulGbVyMs6jcxY5Vm1580e2jNmKfz9LYTvsfES+6qL8GMO/romcUXxFVAUpRZm4/G0 4ILOdUebs+wlwy1Znf8SJzxtqfnYVjnvtR5VD8R3qlqctuYwGwzq5tlLhq/1JF9u8z2p7R4kutOO xneEHPOOhS4LvovOfF1Y5EgzOZ5A/xJbFXLMWUquFyKET1peO7fGx6vvBfaDoDv+kPzgseOZbfqM vx298h/mO7uJxC7Hbu9GCd9n6XYM6SLOhJuA5G1A9wbvZcY5n6qWK7kiRIkP5fwX4Quxgf5c/MsA r04aNIfMeOY9CKw/w1tC0+284/l2RHfIgcLMolW28hVzYuFotlKwSubeVFpcRW9POWMiWSgktRdu vnp6wS2Tv/6Ecbj380/2yq+rCdiRGBF9jTFN15lRmwGjZmErY5sFLU5JrnYM+MoZTetjEGPG8XG6 CnUaBcQmiern+4Cf2IPPXfgcg4fI4BUaG2A0hQLylfM2LX4iLWjJdQVspSbrpRArdc04Pid6p/E8 eC2Fc03094enY3+pfzN9vPZf+zYJ904ln5r9O/df2PkvM5K/+qT575uE/tmvVwwfuv9p/rtKfLz5 78rfree/YLDZ8U/Qyol66p9q+9Q//v4TXv3zwYi+6u+3m1v/NNefuf6lr6Dz/ef5gX8BbOgpNwAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAB4nO1YfWxTVRS/977X bu3ateu+yjLCQ5QPYfO1y4hEhpvjU91QOmQgIt3SbcW1b+wDMhJ0DJgbmLDESCKByQgLRo1TjIBE ZpmGTP8AE9EoUcCADBTDDAhEcPWed9/rutpJpyAiPc1Z7+/ee+65X+d3z/r5kYST7e+mfY9CZBri UL9fh7RBdZgqUYEZoRilrt/v90MVR9UflTtK5iGJfmqRgGYgL/2uRvWhV+EvJQVpAmfOw/04zG6I jzXPDO679LM1O/TOQ9hIyw1a9U7NRZXINSyfwaJHBINvoty9SGysVJOQ6j+frt+Dqug8StCyYfu3 0IgI3s9IbMB3mVKegZajOuSkO++m8/DScyhU0IqIdkX4G/5TqHYpZQ3V34Ps+xU1oPCxDG0mpU07 RJ+o3Dnyb8Z/wyPSToj/OBSN/9sd//uUsmoXiwbzAIjKBXrE3vj4oP46FI39/4OoOR3kbhC/8B5A aEJuB3cCzhnOH2IW3gR4u+EewBtAU0CUgCAGEEpU7kiy8p1Kv0co5f7bvMaoDC1E4d8nKPO7UA0S 5U/kYqX8i9FA7h+p3Sf8MJzcQILXc/NGvTv8w9nxBJmL3B5XjVDoWinMkzxOL9q388LKg1QF8ZeV kyxlx+C4MuhJw3cfJjI32PUCN0Y+/TwJOGKs1kS5AmaB5bHTqV4jFrkvQq1Q2YAJIY76mlqXBx2D cYFdRqMNsgHw0OkzFsR8EcUXlu9WOCnMK5wTDt9oPd8klfHqejBlKE7P9jA0dwEOK3CXVks1Ulmt MGN5nbPWLXmFrExRpsLpjkCdTI8qyMxCl6bsXj54rkOtJ11e9/XuHQru22ZF11utcpnDmNPreYyx Za0DcSaM4mgpD0hXT5pyEEeJmFaU0r+kOYsaWBorqUpUy6kxrZZ7kHW7OejnlHvUUHVT9VKtkHtF +f8ulij/393+I+H/YnPZgVvA/wdg3Cj/M/7fquCz20P5/9aSPw76SVeVx9Ylt1+f3+ayeeemvb93 ybLFeON6f8+ub08VzD23twklnxjzU/Y486r8sf71R1UvPs6ytlL1R8fcPJ7qhOASWSMwbcwM3Dwc 9jxTxWQtN5/XJ8Y/5ap2O9zl3knCHG9ppm2iOAEauMR71AYBzllw1Do9VW5vueBwVa9wl9KDz88j ZuO5iX1Hv57QbLVrdEu2rGgWDdrY+5tmN10xEo0GbV8oWrU6hrGOs8UFQAwW0wdaNDZTqlHMFm02 uzjFZs+evEgcNdDK2yy8eRdJs9sv2Lt7eydvPdOTO180BjpgrEF8I0Zts5598PH+1K3+Tce1L76w ByW5Ox99bdORVxpWr2kf/1FLcd+05Jde/XlU3dJt77WIOQfzLx3PnV789CnNW19xMwW8+vmsA1d7 xa5fH/J2P+OoK/2yyPDk/s2d3Z/ea17UkXXt5U7+gx9H1BkWtG/ht/SMLPiiLSHP+86+Vt+ptzs2 7Jb2fFicfjGjqLjj0MPZrpaMzh/aZl+ct9H0xoaE/IMeuPfq2w+nwd4EJg30cZ9KE4JGHtpoJsDl EWD6dLkVMgUdUUvsFYASJkBDUMrEVqUuLtDPQHz8SRNkDMAWacqbAZmEj5b2U91OU4tVPMs4oI8B FThrK4rqq+DnEAxc8hthFkiZdwZmYyeRpWQhB6VEWnqAV+tGxqh1jli17rs4tS7HyHiqoZ+NKPPU sDiRcaGPzDKBaWa9ijviYdmCoFNwSyxY1Li9FWrNczzsfaVUXsFsznPL5IwsSwozJwJzctR7SiQa aB+n6Mf3nLYMMacBrmHjlnGj42GIKxLDbUTF/zj+B4hmmBQQjf87If73xtzs+EcxN47//drw8d/6 n4n/4P+Jb1P83xca/wNzijz+GV7MM3xVwa9jhi9Lqv0CLeDegP1gvJhn+GzAnuEzCp7JeYzB/rrI YDyVZ1j134MZvhywT40L9tdFBuOpPMNnA/YMq/59ZBwBnPOnfcUh+5qboi8ZmldD89/znMUA45Yo fg7jE7LfqgDOiWHtYfwO440JPc/D+E3Zb6WkzqNY9uMM+PXI96g0sP5cObodyjwEvzqPPwCQAMxw AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEgAAeJztWM1rE1EQ n/e21mZT0mYpGkIP60U8aAkWBC9i0IgeGktT8NpUNjXSZJsmNewtoIfiqfQvUCje1YvHKhL0oiL+ AfEgHjxY0ZuYOPM+Ykho2ZVASckvzO689+bNvK+ZeZsP76ONx0/jn6ELl8CAZisEox11DInrwiTA MVXXbLVaVGUgtYYYKPxBah72IIY4NCyAi78K2JCCIr7XwesOBQfiBEaBTn1++jR9yvlFUPv9xiDb 7+f+U27g72SG2JXN1zpl93LfLu8s1ZnIKYasY3ATVsEJOuw2TOAs6PzDSFOg7V/B+RdgDcexDHcD 27fQPuVAnfv89Akh5RTP1fznceUdKENC/PwjpuY/EsA+jfcTk7xeN+qvcwHRcZB+OsTRRgpKsAFZ 9Pw8+kER40Bale758kobT3CnPr/n9jYAMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIBOgAAAD4AAAD/////AAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA0wMAAKwCAAAAAAAANgAxAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgH///////////// //8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADeAwAArAIAAAAAAAA2ADIAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA BgACAT0AAAA/AAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOkDAAAm AwAAAAAAADYAMwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAGAAIB////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAA9gMAAO8CAAAAAAAAgl9BH/gf+/3EINsnH6eITfGLYgDd6Sk+k/+PqXZTvYfx4Ohh GigH/XwVV+fhTT0Gr7digjcYM0yT8QfPDWOCQZhZ95MA0Z6zp88OU2X9jRhF5hbSNqM2zHrGW2Ft WrTSSQtxzcksKr4oOaoQ3AyLqbpwW26c27zBLOROj05AXOU8/BiFXeSeID1CRXUmszzJjMNctnJn 0VvDcDYvbP/mtvKTLWF1hMPkYr7glO20U7UX3EK2CC92vldfItmJH1Unktuk+Z1j0ifOmw0WET2T ntRXa3bo46Qv4xWW3VWAlSlz++wXax99TKzbXltvjZ0Rq7jimWr0ppihTNbSliVkyRY+aoxznvHK FacAm6SXbkSn4CHT+3P9qwV67NIW01evHqST6Rv0Hlv6GNlHpAcMI4Nhqn3vuvudxMdc/va6W3Zz FTtV2shW8m7Rnp1J4KYAXM2068Rm6cLMLPy6+Kzk1/6/vySGCI6/xNmkwQAAAAAAAAAAAAAAAAAA AAAAAAAAABIAAHic7VjNaxNREJ/3ttZmU9JmKRpCD+tFPGgJFgQvYtCIHhpLU/DaVDY10mSbJjXs LaCH4qn0L1Ao3tWLxyoS9KIi/gHxIB48WNGbmDjzPmJIaNmVQEnJL8zuvPfmzbyvmXmbD++jjcdP 45+hC5fAgGYrBKMddQyJ68IkwDFV12y1WlRlILWGGCj8QWoe9iCGODQsgIu/CtiQgiK+18HrDgUH 4gRGgU59fvo0fcr5RVD7/cYg2+/n/lNu4O9khtiVzdc6Zfdy3y7vLNWZyCmGrGNwE1bBCTrsNkzg LOj8w0hToO1fwfkXYA3HsQx3A9u30D7lQJ37/PQJIeUUz9X853HlHShDQvz8I6bmPxLAPo33E5O8 Xjfqr3MB0XGQfjrE0UYKSrABWfT8PPpBEeNAWpXu+fJKG09wpz6/5/aCX0Ef+B/7/cQg2ycfp4hN 8YtiAN3pKT6T/4+pdlO9h/Hg6GEaKAf9fBVX5+FNPQavt2KCNxgzTJPxB88NY4JBmFn3kwDRnrOn zw5TZf2NGEXmFtI2ozbMesZbYW1atNJJC3HNySwqvig5qhDcDIupunBbbpzbvMEs5E6PTkBc5Tz8 GIVd5J4gPUJFdSazPMmMw1y2cmfRW8NwNi9s/+a28pMtYXWEw+RivuCU7bRTtRfcQrYIL3a+V18i 2YkfVSeS26T5nWPSJ86bDRYRPZOe1FdrdujjpC/jFZbdVYCVKXP77BdrH31MrNteW2+NnRGruOKZ avSmmKFM1tKWJWTJFj5qjHOe8coVpwCbpJduRKfgIdP7c/2rBXrs0hbTV68epJPpG/QeW/oY2Uek Bwwjg2Gqfe+6+53Ex1z+9rpbdnMVO1XayFbybtGenUngpgBczbTrxGbpwsws/Lr4rOTX/r+/JIYI jr/E2aTBAAAAAAAAAAAAAAAAAAAAAAAAAAAAGgAAeJztWE1oE0EUfjPb1mYTaLNUDaWH9SIiGIIF wUvRaEUPjaUpePGSSqIpTdI0qWE9BfTkQYJnDwriUfHn4LF6KHjRHrx5aenBU9Gih4I18b3dmbhG 0m7Cxp90v2V25++9Nz/vZ2ZX3gVXHzwdXoMGjIEC1ZoP+mx1DBOXhUGAfaKuWqvVqErBVPPwX2EK cvgUQYdxyOJ3AYxGVdgRB6C3vue0//ytpSFLVvM5e9/Kh7EnvsQy65PKYurPRZiDZEsy7VCBM5LN he45ofFjGgIp/wzOPwPzOI4ZmG1ZvoYWYV9Pp3Qp8R2HPCxCAlc+jePI4j7EROm6o1XRcf5kg63I p7U6IfK9mL7bxl8VSYVfbbnaAd3z8Pfhpv2TXu1k/5H1wA0V7d9HBZftX8IJjcv2b9qfjH1OaPrB Xfvvgdbsn2xb2r+kozHZ/QBB+gK/6Of5gO6DPL852Vtv/7sPTvzFLmjZ/5IevWcuSBZweT57Sj7D 3VBUi0dj7D6Ir4n0lYVcIZcq6uP5xUQxncvqo+EIBLDpbLxeZ4ZUWQiPwteTz/J2KX6TMZ01A1zn q0zD3OG+ARiGEaDz6PbrYdFz8l4ItishM68wpqgq47eeK8oAAz/TbkYBgtiii3lWzNjbw2FwOp1J FvRYsqRP5TKJLLx8+Kn0CpMe2Szd2Z+KUow8xqzYe1xdZYpJGTVI/jdertr4ceIXNzIzuTmAo0F1 69Sm1oQfA/p+rvMtsyPmjfiqoYoZqubKWspuydLMviQLX2XGOY8bhWIyA1HiS9H5ENyuW8flLxrI sVuymDw6/YbY6dgF+trpz3/cmV7e6amuR+wR3c/obk926oOf8cHz/90HLs7fk3jyT0IBIubjHKE2 77+e//835BONtH35H0H+4wti5hKmu4za0BMob4C8xYjZSp7CV/fr1i2IcozTMCgXZiFR19z/W2Me xPIS5h5huo+Mlpl1S6M+AZhIFK9NG/N4HZoUPrQ1/78VSm206/+NIfXxizWtCT9X/f8G8W30/yvr nfb/fyL+N6dvL/7bxw+8v8l6eNgd3bD/nVqbvYAfWnRY8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAABgAAHic7VjNaxNBFH8zm7ZmU7WGEkPpYb2IPRiCPdmDEDRSwUZp671RdjFikqZJDREP1VPx lH9ArODJi+jJYxXpwYMG/wKlokcVvFkT39udiZu1sbshNiTsb5nM15v5zcf72E3t3ZEPj55NfAQH zoAC9UYQhm1tzC4wBhAQbfUBBAAA/v///wMEAAAEBAAABQQAAAYEAAAHBAAACAQAAAkEAAAKBAAA CwQAAAwEAAANBAAA/v///w8EAAAQBAAAEQQAABIEAAATBAAAFAQAABUEAAAWBAAAFwQAABgEAAAZ BAAA/v///xsEAAAcBAAAHQQAAB4EAAAfBAAAIAQAACEEAAAiBAAAIwQAACQEAAAlBAAA/v///ycE AAAoBAAAKQQAACoEAAArBAAALAQAAC0EAAAuBAAALwQAADAEAAAxBAAAMgQAADMEAAD+////NQQA ADYEAAA3BAAAOAQAADkEAAA6BAAAOwQAADwEAAA9BAAAPgQAAP7///9ABAAAQQQAAEIEAABDBAAA RAQAAEUEAABGBAAARwQAAEgEAABJBAAASgQAAP7///9MBAAATQQAAE4EAABPBAAAUAQAAFEEAABS BAAAUwQAAFQEAABVBAAAVgQAAP7///9YBAAAWQQAAFoEAABbBAAAXAQAAF0EAABeBAAAXwQAAGAE AABhBAAA/v///2MEAABkBAAAZQQAAGYEAABnBAAAaAQAAGkEAABqBAAAawQAAGwEAABtBAAAbgQA AG8EAABwBAAA/v///3IEAABzBAAAdAQAAHUEAAB2BAAAdwQAAHgEAAB5BAAAegQAAHsEAAB8BAAA fQQAAH4EAAB/BAAA/v///0ajIfsbPvoK85DHpwQaJCGH+QpUnKrwT0RgqHnnHOv8LTfbN63u83bZ +PbobTW9xUydUqROXYKboHvitEMFzuz7cTMmhGkcJP9Z3H8WlnEdV+GGZ/4w8pPe03bc8tP+DVFO QgFWIY0nn8F15PAeUqJ2y9WpaMgfgD9254b/AKYpUR7C9Mt2fnWRVGi15fp/0T4fvcZ+2n/1YuJp EO0/SJXu2X+LnroZ02v7J3TR/j3vn25I2r8cNwKtfoAgfUFIyPk+YPDAhD6Q/lIcoXhA9zwicvud +/c/eODC/15Gz69DEeLm4x7RDvwP4Q7bW8YtOuHvJvqZn8ZI25ffb1z0vWFWmmHUh1FbeQDkLSbN XvIUQS5LVhSkEuO0DCrFWFS0hZpyo3yDbbAwlo4PH4YJETPxYxI2sbSFaQknMpgVpUlmFObSpeuL lWWdoh1x/+RrdWuFVVOLAhzGFjNZvail9LI2n8+mc/Di8dfyS0xa/Hv5SsSo0f5OMuvd95S6xGbM 3SYqqmBRzZVYSmlxhE1ZwbHGOOcLlWJJzwLQfPTmcQzuM3mGte0wWBzMzL+x5ivOX0glUhcop/EM vayiinN3vDsdxZ+5zLWVfDFvlLRkYTVdyuRz2nQsjocCcG6h2WYelqzEpuHH6eeFVk7au7Uu1nZd HcLz9xfFkam9xVyjn+2v1/zy/xs3sd2P/4OH/fI/7eLHpNmy8+qgkDvxPgKv70XMssKYoqqM301A c0Qv4kdl3HjSzfhB8znjx6fP3uOHY951/ZCxbp+XMPtFzru7//dy/rvB3f231x8n/+zDKOxUo675 mfX54qND/AZ23TVxAAAAAAAAAAAAAAAAAAAAAAAAGAAAeJztWM1rE0EUfzPbD7OJGINNQ+lhvRR6 MARzsgchaATBRmn7BzTKBiMmaZKtIeIh3sRTT4KgUMFeFT15VA9FBLV/gqJ4VcGbuuu8md10sybt bAgtjftbJvvm883H+715m60PRz8+ejb1CTw4DQqYVgjGXGXE3SAKvA7LTMuynHorwIHCAlTYY4AG WSizdw2aXlPYEXEYbZ85ZXn6nvLyl6L6nLttqqbeVPObJIQZxbGpi3AddF863VCBEvd6ZPqEWToG jv4zbP0lWGHzuAzXfOuPMf1o97gcWf3Im4ItZ6EKq5BnO19k8yizc8jZuRtSu6Ix/SOwzTsZ/YdY mnXJf7rYhel6qyA4HmD4sJf8X7uQeRpi/B/HzOD433HnyPTZb/4jBsh/3+vHE3L47/RDH4J+wLS2 uR+Gzvs88AHDB1l73QG+71+0o9ndm0ljwOv5r/Q78bsMtwP+Dx/w/PE+wPsL74BR2x7Gu9hFcP7D B8JOWVGFD/HGbpPsZ742ADQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAABgACASAAAABgAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAIEAADhAgAAAAAAADYANQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIB////////////////AAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADgQAAPECAAAAAAAANgA2AAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgFBAAAA QwAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAaBAAA5QIAAAAAAAA2 ADcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA ACYEAABCAwAAAAAAAHilVqlXCoaWra7mjWKlrKWTKYiwqrOL7TIeUjmZZBp+nnpe9foZ9tWnPOTW Ns1L0NJCdJqX/H592G73ZiMBxswklxVCFFUl9HYG2j0idJ2skxiTZsaOwJQdc0Vx1kzaZGmZmXSB iCgP20RgPm9cXWqu6Bgtob5ftGWKEdf4XxojFKJLxZJe13J6Q1uolPJlePH4W+MVS1rqR+NJvHAf uXGCiO+lk+oymeOeM9NUbS0qiN1ECB0x3tbW0SKU0sVm3dBLADgeRq7H4S5x/PeXrzEQOgh/fyft EPkf5DK587bYkt1/nLsYl3SMS+34+xKL/HWoQ4o/8kj0EX8ibpHd28iiH/2DxEHWj30c3+/8f0ft urdEpDnSm7+OJL6CUCIUp4FSkiTssnC73X7w995EYWOQ/MXxvPzd+uyfv9h/r/xvL/778b/dIKe/ 9/y9+u+k4/Dg3YS0fiLClwB94i9FNzbZAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY AAB4nO1YzWsTQRR/M5t+ZFO1Bm1DqbBexB4MwZ7sQWpqRA+Npe3Bo1F2acQkTZMaIh7irXjqSQQR FESPol48Vik9eND+CYoHjyp4sya+tzuTbtbG7obY0LC/ZTJfb+Y3H+9jN5sfD3968nLkMzhwFhSo 1oLQa2tjdoFBgIBoq9ZqNdlf87GvMAs5fIqgQQKymC9B2akK/8QQ9NTvnGOdf+Bm+5rVfcEuO3my /7aa2mCmTilSpy7DTdA9cdqhAmf2/bgZE8J0BCT/FO4/A4u4jmtwwzN/GPlJ72k7bvlp/4YoJyAP y5DCk0/jOrJ4D0lRu+XqVDTkD8C23bnh78c0Jso9mH7bzq8qkgqNtlz9L9rno9PYS/uv3J96EUT7 D1KlffbfoKduxnTa/glttH/P+6cbkvYvx/VBox8gSF8QEnK+D+g+MKEPpL8URyge0D33idx+5/79 dx+48L8z6Pl1KEDMfNwj0oL/Idxhu8u4RSv87cR+5qcx0vbl9xsXfc+x4T2mCUZ9GLWVR0DeYtTs JU8R5LJkRUEqMU7LoFKURURbqC43wB+zCgtj6UTvIRgRMRM/JmENSxuYJnEig1lRmmQGYDpVXJgv L+oU7Yj7F69UrRWumloU4DA4n87oBS2pl7TZXCaVhTdPv5XeYtJiP0rrR4047e8Us959T6tX2YS5 23hZFSyquRJLKS2OsCkrOCqMcz5XLhT1DADNR28ex+Eek2e4+SUMFgcz8++s/orzF5Lnkpcop/EM vayiinN3vDsN4890+vpSrpAziloiv5wqpnNZbTwaw0MBOD9XbzMPS1ai4/DzzKt8Iyft3VoXa7qu FuH5+4viyNjuYq6xn+2v0/zy/xs3sd2P/92HvfI/zeLHqNmy9e6AkLtybBjWn0XMssKYoqqM341D fUQn4sfrIeNBO+MHzeeMHxe/eo8fjnlX9IPGin1ewva8O/t/L+e/E9zdf3P9cfLPPIzA1qp7fmZ9 vvhoEX8AleIzIQAAAAAAAAAAAAAAAAAAAAAYAAB4nO1YO28TQRCe3cvLZyOMBbEVRehoECmwLFKR AoUkRqKIQYl/AAadhVFsx7GDZURhWipo0oFAQqKgQFClDBQpKCAFPwAEogUkOoKPmb0753zYyZ5l JYq577S+2efsY77ZOW99OPbp6auxz+DCBVCgYQRgyFHGnA3CIOqorGEYhl1v+DhUWIAiPhXQIAkF fK9AzW0Ku2IUBptnzjHP33NRvmFWX3K2nT4zckfNbLIAZRTbpq7AEuiedDqhAmfO9cj0CWI6Drb+ WVx/HpZxHtfhlmf9EdRPdk/LkdVPvMlachJKsAoZ3PkczqOA55CycreldkVD/QOwwzsZ/SOYJhzy nzZ20XC8VTA57qP/sJ/8r6/Nvgwg/4cp0zv+t9w5Mn0Omv+EHvLf8/rphGz+2/3Ih5AfaBg73A9C 633u+4D+g6y97gLP9y/Z0cTezaTR4/X8V/rt+F2G2z7/+w90/nQf0P1Fd8CgZQ/DbezCP//+A8NT VlTTh7hjtyj+zOdurBTLxWxFS5ZWM5VcsaBNxhMQwqq5xWaZCKnsTHwSfp1/XXL7GfzqUx4JaxsX JWRpAT4uSrbfHrHarc9FIX0yKmSFMUVVGb83A80eIf6E1VkEpdNDR2HMirnCNGuUNjFNo0lnmRnl UZsQzGcqN9O1ZZ2iJdL3m9cb5ogPxF8aAxzC6VxeL2spvaotFPOZAqw/+159g0lL/Kyuncg+Jm6c Zeb30jn1GpsSnnOmplpaVDB3k2DqiIi2lo4645wv1soVPQ9A41HkegruM9t/f/0WAVMHE+8frBki /4PUxdRlS6zL7j/N3RyXtYzLrfj7Kkb+OpQhIR55xLqIPwl32d5tZNGN/l7iMOunPrbvt/+/41bd cyx4h2mKdeavLZlfQSQxTtMgKc5iVlmw2e4g+Ls9mn3RS/7SeG7+bn3xzl/qv1/+txP/vfjfdpDT 33n+bv0bRgw+PoxJ62dm+OKjS/wFfs02vgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAaAAB4 nO1YzU8TURCf9xawXZqIja2EcFgv3iQNnDRqaqAGD1QDXEg8WM021tAutAvYnujFAydO3E1MTLwY vegRDeGo/AkajSeNGr2JrTNv35al2PaBGw20v810533Mm/cx82a2W29OvH3wdOAd1OESaFCpBqHH U8e8HfoAArKuUq1W3fZqB4cKk2DhY4MBCcjhOw/FelNoiih0186cY5m/5qJ+3Wm+4u0bf95d0lOb LEgFzbWpazAL5r50eqEDZ971qMj0Ip0EV/8orj8LcziPW3B33/rDqJ/snpajqv8YUlryCZiHBUjh zmdwHjk8h6QsLSrtioH6u2DH71T00/7PeObyq4FtVCT1yvErvltfB/8bfvo/2WEz/19eG30SRP/X kY/77P8c1P3PZ//fFfNU5dKtu6hi3/cf+fGaDOauXDc490DFQ170QCe2H0UEFc6VbCEk7aYTA44W /Mg/vHm/yv1D9/9My17q8K7Hx2HbTn/ycvIqvVe1iPJdv5CyM1ZOhNTEvFMYGoEf557Ne0e20rbh NhsjQzGg62RsCusGkeGw/eqi7HkvEYVPGxHBa4xpus54OQG8vIhkIuWQbCQ0vPI4Gh+KB5rsRyuU LRwnj5RBKiFZQkfbBDsu86/rmPmZUICYeNTRf8D8Z4217qOKg+j3E4dZPx0D5c6UjlP+Tnkg5XoU 5wPyrUMn9h9luGfvxnEubWMYD/4zVk4zasNMUXssrGVQtJKlBLnLOVkAcYzjEIIbYv2yrrfWL8TX WTwYRu5Mz3EYkN9sfVheR26TSqjoPnO+0qhPCCZS9p3p4hymIzGh+ydfrjgzXBW3SBeHvulM1iwY SXPJmLSyqRy8ePhl6SWSEfu2tB1NP6L1nZWjDus3WaiL/vkYt/KZEoYvXdaeF7afWDRztqFL/bqY o3NdOdrDENjRvsw451PFgm1mAUgT5TenYYW5nrn1PgyOdibeX1ntz689cCOwV/7Dx2byDD1T0+W5 1X17n8KficztvFVoHH//Vr4d7Gcjkr7wb+yHNNXbT/Pz/7P9rNSi643vrjRIabZLWi1/a3x31Odv W2MR2ChFBa+SvzXMvxTlmRO+QG22e9Hu+d9v+36+ggAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABIAAHic7VjNaxNREJ/3ttZmU9Jm KRpCD+tFPGgJFgQvYtCIHhpLU/DaVDY10mSbJjXsLaCH4qn0L1Ao3tWLxyoS9KIi/gHxIB48WNGb mDjzPmJIaNmVQEnJL8zuvPfmzbyvmXmbD++jjcdP45+hC5fAgGYrBKMddQyJ68IkwDFV12y1WlRl ILWGGCj8QWoe9iCGODQsgIu/CtiQgiK+18HrDgUH4gRGgU59fvo0fcr5RVD7/cYg2+/n/lNu4O9k htiVzdc6Zfdy3y7vLNWZyCmGrGNwE1bBCTrsNkzgLOj8w0hToO1fwfkXYA3HsQx3A9u30D7lQJ37 /PQJIeUUzzYAOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAGAAIBQgAAAEYAAAD/////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAANAQAAKwCAAAAAAAANgA5AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgH///////////////8AAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA/BAAA7wIAAAAAAAA3ADAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAUUAAABHAAAA//// /wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEsEAADxAgAAAAAAADcAMQAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG AAIB////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAVwQAAKwC AAAAAAAA1fznceUdKENC/PwjpuY/EsA+jfcTk7xeN+qvcwHRcZB+OsTRRgpKsAFZ9Pw8+kER40Ba le758kobT3CnPr/n9oJfQR/4H/v9xCDbJx+niE3xi2IA3ekpPpP/j6l2U72H8eDoYRooB/18FVfn 4U09Bq+3YoI3GDNMk/EHzw1jgkGYWfeTANGes6fPDlNl/Y0YReYW0jajNsx6xlthbVq00kkLcc3J LCq+KDmqENwMi6m6cFtunNu8wSzkTo9OQFzlPPwYhV3kniA9QkV1JrM8yYzDXLZyZ9Fbw3A2L2z/ 5rbyky1hdYTD5GK+4JTttFO1F9xCtggvdr5XXyLZiR9VJ5LbpPmdY9InzpsNFhE9k57UV2t26OOk L+MVlt1VgJUpc/vsF2sffUys215bb42dEau44plq9KaYoUzW0pYlZMkWPmqMc57xyhWnAJukl25E p+Ah0/tz/asFeuzSFtNXrx6kk+kb9B5b+hjZR6QHDCODYap977r7ncTHXP72ult2cxU7VdrIVvJu 0Z6dSeCmAFzNtOvEZunCzCz8uvis5Nf+v78khgiOv8TZpMEAAAAAAAAAAAAAAAAAAAAAAAAAAAAY AAB4nO1YzWsTQRR/M5u2ZlO1hhJD6WG9iD0Ygj3ZgxA0UsFGaeu9UXYxYpKmSQ0RD9VT8ZR/QKzg yYvoyWMV6cGDBv8CpaJHFbxZE9/bnYmbtbG7ITYk7G+ZzNeb+c3H+9hN7d2RD4+eTXwEB86AAvVG EIZtbcwuMAYQEG31RqMh+xs++grzkMenBBokIYf5ClScqvBPRGCoeecc6/wtN9s3re7zdtn49uht Nb3FTJ1SpE5dgpuge+K0QwXO7PtxMyaEaRwk/1ncfxaWcR1X4YZn/jDyk97Tdtzy0/4NUU5CAVYh jSefwXXk8B5SonbL1aloyB+AP3bnhv8ApilRHsL0y3Z+dZFUaLXl+n/RPh+9xn7af/Vi4mkQ7T9I le7Zf4ueuhnTa/sndNH+Pe+fbkjavxw3Aq1+gCB9QUjI+T5g8MCEPpD+UhyheED3PCJy+5379z94 4ML/XkbPr0MR4ubjHtEO/A/hDttbxi064e8m+pmfxkjbl99vXPS9YVaaYdSHUVt5AOQtJs1e8hRB LktWFKQS47QMKsVYVLSFmnKjfINtsDCWjg8fhgkRM/FjEjaxtIVpCScymBWlSWYU5tKl64uVZZ2i HXH/5Gt1a4VVU4sCHMYWM1m9qKX0sjafz6Zz8OLx1/JLTFr8e/lKxKjR/k4y6933lLrEZszdJiqq YFHNlVhKaXGETVnBscY45wuVYknPAtB89OZxDO4zeYa17TBYHMzMv7HmK85fSCVSFyin8Qy9rKKK c3e8Ox3Fn7nMtZV8MW+UtGRhNV3K5HPadCyOhwJwbqHZZh6WrMSm4cfp54VWTtq7tS7Wdl0dwvP3 F8WRqb3FXKOf7a/X/PL/Gzex3Y//g4f98j/t4sek2bLz6qCQO/E+Aq/vRcyywpiiqozfTUBzRC/i R2XceNLN+EHzOePHp8/e44dj3nX9kLFun5cw+0XOu7v/93L+u8Hd/bfXHyf/7MMo7FSjrvmZ9fni o0P8BnbdNXEAAAAAAAAAAAAAAAAAAAAAAAAYAAB4nO1YzWsTQRR/M5t+ZFO1Bm1DqbBexB4MwZ7s QWpqRA+Npe3Bo1F2acQkTZMaIh7irXjqSQQRFESPol48Vik9eND+CYoHjyp4sya+tzuTbtbG7obY 0LC/ZTJfb+Y3H+9jN5sfD3968nLkMzhwFhSo1oLQa2tjdoFBgIBoq9ZqNdlf87GvMAs5fIqgQQKy mC9B2akK/8QQ9NTvnGOdf+Bm+5rVfcEuO3my/7aa2mCmTilSpy7DTdA9cdqhAmf2/bgZE8J0BCT/ FO4/A4u4jmtwwzN/GPlJ72k7bvlp/4YoJyAPy5DCk0/jOrJ4D0lRu+XqVDTkD8C23bnh78c0Jso9 mH7bzq8qkgqNtlz9L9rno9PYS/uv3J96EUT7D1KlffbfoKduxnTa/glttH/P+6cbkvYvx/VBox8g SF8QEnK+D+g+MKEPpL8URyge0D33idx+5/79dx+48L8z6Pl1KEDMfNwj0oL/Idxhu8u4RSv87cR+ 5qcx0vbl9xsXfc+x4T2mCUZ9GLWVR0DeYtTsJU8R5LJkRUEqMU7LoFKURURbqC43wB+zCgtj6UTv IRgRMRM/JmENSxuYJnEig1lRmmQGYDpVXJgvL+oU7Yj7F69UrRWumloU4DA4n87oBS2pl7TZXCaV hTdPv5XeYtJiP0rrR4047e8Us959T6tX2YS523hZFSyquRJLKS2OsCkrOCqMcz5XLhT1DADNR28e x+Eek2e4+SUMFgcz8++s/orzF5Lnkpcop/EMvayiinN3vDsN4890+vpSrpAziloiv5wqpnNZbTwa w0MBOD9XbzMPS1ai4/DzzKt8Iyft3VoXa7quFuH5+4viyNjuYq6xn+2v0/zy/xs3sd2P/92HvfI/ zeLHqNmy9e6AkLtybBjWn0XMssKYoqqM341DfUQn4sfrIeNBO+MHzeeMHxe/eo8fjnlX9IPGin1e wva8O/t/L+e/E9zdf3P9cfLPPIzA1qp7fmZ9vvhoEX8AleIzIQAAAAAAAAAAAAAAAAAAAAASAAB4 nO1YzWsTURCf97bWZlPSZikaQg/rRTxoCRYEL2LQiB4aS1Pw2lQ2NdJkmyY17C2gh+Kp9C9QKN7V i8cqEvSiIv4B8SAePFjRm5g48z5iSGjZlUBJyS/M7rz35s28r5l5mw/vo43HT+OfoQuXwIBmKwSj HXUMievCJMAxVddstVpUZSC1hhgo/EFqHvYghjg0LICLvwrYkIIivtfB6w4FB+IERoFOfX76NH3K +UVQ+/3GINvv5/5TbuDvZIbYlc3XOmX3ct8u7yzVmcgphqxjcBNWwQk67DZM4Czo/MNIU6DtX8H5 F2ANx7EMdwPbt9A+5UCd+/z0CSHlFM/V/Odx5R0oQ0L8/COm5j8SwD6N9xOTvF436q9zAdFxkH46 xNFGCkqwAVn0/Dz6QRHjQFqV7vnyShtPcKc+v+f2gl9BH/gf+/3EINsnH6eITfGLYgDd6Sk+k/+P qXZTvYfx4OhhGigH/XwVV+fhTT0Gr7digjcYM0yT8QfPDWOCQZhZ95MA0Z6zp88OU2X9jRhF5hbS NqM2zHrGW2FtWrTSSQtxzcksKr4oOaoQ3AyLqbpwW26c27zBLOROj05AXOU8/BiFXeSeID1CRXUm szzJjMNctnJn0VvDcDYvbP/mtvKTLWF1hMPkYr7glO20U7UX3EK2CC92vldfItmJH1Unktuk+Z1j 0ifOmw0WET2TntRXa3bo46Qv4xWW3VWAlSlz++wXax99TKzbXltvjZ0Rq7jimWr0ppihTNbSliVk yRY+aoxznvHKFacAm6SXbkSn4CHT+3P9qwV67NIW01evHqST6Rv0Hlv6GNlHpAcMI4Nhqn3vuvud xMdc/va6W3ZzFTtV2shW8m7Rnp1J4KYAXM2068Rm6cLMLPy6+Kzk1/6/vySGCI6/xNmkwQAAAAAA AAAAAAAAAAAAAAAAAAAAABwAAHic7VjNTxNBFH8zW0q7rQL1q0EORRPjQUgDJw8YCpbUA4VQ/gCK KaGm7QJdNI2HkpDUj8SPeDepidEbRo+e8OZJ/QtMTZCLFw+aGI2t83ZnSllo2S0NWNJfM5335mPf zLyv2f30savw7HX3FzDgCkhQLDnBXtFGKgd0Ath4W7FUKon+UgtNhSlQ2E8FHwQhxeolyBhNoSZO Q1tZ55Tx9APV2tf17rHKsfnRR5vBgfdEs6k2YVMTkICYJZmVkIGSyv2YmeNi5SQI+aNs/0lYYOuY hRuW5XuYfLR7CXTbNzOng5U5TgdhEZYhyk4+ztaRYnoIc+6mqVPxMfk22PI7M/K7WMlxGtXwt+L8 iry4YKcvu0H39RaODg7U/8/+3ED/dyIj6W0N8P9tdmpmzmH7P6KB/m95/6gh4f9iXjtsjwMIEQtk aPn9UQXh9oD2i3kE8wHmZ7QHByvoq6h/EfuPsfo4pzt57WH1iZaNNCUoj7+TLPLHIA1+7Wce3jri NwAyAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAYAAgFEAAAATAAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AABiBAAAqwMAAAAAAAA3ADMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAHEEAACwAwAAAAAAADcANAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIBSQAAAEsAAAD/////AAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAQAABcDAAAAAAAANwA1AAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgH///// //////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACNBAAAXgMAAAAAAAAP YlKyIGQP1CO/kWhm+ThH+L54f6O87xtz9tuMOS5hH4sE0h2C0aJH68VI4aSC0rMgUoTiMpDqJ17e 5iqPc9NhmndjxLhg74BunjMxkqwz6gUrMyzUbBI9S+MYN4xH1fnpzAJLhzOa7D/Ux/f5WJNqo9A5 HU/G0r5w7JZvSklGUzB2imQnWPEVpCwwi8b99RE9pg3IBWLTljQSEvxTOz4pEJI5/5DialVFjSbK c85r0gKKvoaVYn1rIFr9vbyWFXJJxidEFMG/bdvOD4POG+XisaPcSCY5qyQgO8waPrvkB9X2rssl Zbm/HaQB9w+w/P6FeSK39zDTaGb/O2z54vuNiAG1cngrvx89EKZxSeZx3/Dudob9jcevLylpZU71 BReXo2pcSfkG+/3adfBqpNymBWvB9A/Cj8tvFo12tnv+QJrC13flN681L0yPeDVSIkSSZeJZjYDU QcDFqADQ3JNez6oKnlUF9DrKSgK/asg05zm3czS96+e9Q1DZO8K4kP41pJU/RP745ZRdVvKHOf1X tx+j/vOvrOkfDcqxZ5SrgcbYzz4wVNZT3oYq6VOMdxzYRU8hh3zPnH0UyMV2fMSaIvg1ovM9+5D/ 0i6btM/a8g1yLN3l+J1VXFfrwpY9F4jLgUvwK+jDePOUQY+QCH2tHnBsrXWFUEojmbQaS2KbDL1w XxuMf/MbHnjeRbLGM6n22hMOhK/plDX9H1T8rob/JH63UCf+AVRyhyIAAAAAAAAAAAAAAAAAAAAA AAAAAAAAEgAAeJztmGtIFFEUx8+9s07upqZrj+29fYme25QfosK0h6ZGq5lCVFpbrLS17qq7aVKg KS6llRIWQRQlfQoDexAhfTADEYLyQ9S3KLCCIrJaetpO587csU16zIYghmf57dw5c+f+77177j0z 23M/4cmFK1OewiBbCQKEZCOIYT6CUO0kHiCK+0KyLDOXgMijNqLsGxIa7k6M2rBZLnjx4wcrpIEH j2VQOXgr+KNNxF0gvD0994R01tNrkeoPtY1k/aH8/VluoPfUDNGhXk4Pr9v3WE5PcHQRllOqeSIh kA1ucEba7QEzASWRjt+IjAdNfw2OvxhKsB87YU/E+mbUZzlQy3167hmDFPEy5ePPwZl3gg8k5aPf LHz8hgj0WX8PErWszRu7X8sFDNbH0bzw/1salMI+cODKd+E68OA+YOdn5bpWpRUjOLw9vXE7V29F HfYv+kNpI1mfrXG2FbP9i+0B7Jle5P5ofhzdB/5fmwYsB/V3xvJ4KDljgf4mi1IWCBFMJmKudStB BsFgEDo7O+FkYyOcKiyE5sWLldjTYofwWNTeET8gr9G5nLBrmHWFs4raNOUqizQj1UpqFlXeKCk2 oZRsxMJ9YwfqxdAO8gSzLsBscRxM4TkPX0ahA0tdyHksB7CxsbxODGxw+HfnVZbgdiYp2l9pdUjt YZOiaqAQn+cqdvqsdmeFNddb7PDAzYtvKm4jVultReuEIhsb30KszNbEEtMOYlNG6640cRWT0hM1 qaoaZqUu08CvakIp3VTp8zuLAVh77MllFtQTbf32PjeDqkGUYx9R1+SvzL7KnsmObP4JrlDBxOd9 0LPXJPza4NpV5vV5i/zWtNJ9Dr/L67Em2SScFIC1mwZ8ymRpJ7YkCC67WhquuB5qs7MhsHEjHLLb oSozE44mJ3P9H38J/M5WJCZC3YIFEEhKAg9SjjQi9Ugp4kMakGOIH/Eih5EmZD/iRuqQZuQA4kIO sXPUz7LwWJX7Uhgg37+jkILOlL/17CcT9NDH6efIHNG4I5BBAp9WE2IwCNQQL00UTfNFYiA1SymZ aoiWRPxlCZGlWNE4L5AR+BhLSFQUCDXo3pI1XXq6smtz1qsvz05HV7V/Ts0r8lDp6MyWV9t6xrRb t+Z/bYtLnNGVMTkmGHf+9N2XMx723prjTqnqvm4GiZ6ARTSaTgBGW37D+NbZBWWx55Zsv5zwoCMn 9UjB+uZLvbnBdy/2lj/Ke36j5fj7L+ugPbn/2tLueeJ3w/cSaQAAAAAAAAAAAAAAAAAAAACBBAAA ggQAAIMEAACEBAAAhQQAAIYEAACHBAAAiAQAAIkEAACKBAAAiwQAAIwEAAD+////jgQAAI8EAACQ BAAAkQQAAJIEAACTBAAAlAQAAJUEAACWBAAAlwQAAJgEAACZBAAAmgQAAP7///+cBAAAnQQAAJ4E AACfBAAAoAQAAKEEAACiBAAAowQAAKQEAAClBAAApgQAAKcEAACoBAAAqQQAAKoEAACrBAAArAQA AK0EAACuBAAArwQAALAEAACxBAAAsgQAALMEAAC0BAAAtQQAALYEAAC3BAAAuAQAALkEAAC6BAAA uwQAALwEAAC9BAAA/v///78EAADABAAAwQQAAMIEAADDBAAAxAQAAMUEAADGBAAAxwQAAMgEAADJ BAAAygQAAMsEAADMBAAAzQQAAM4EAADPBAAA0AQAANEEAADSBAAA0wQAANQEAADVBAAA1gQAANcE AAD+////2QQAANoEAADbBAAA3AQAAN0EAADeBAAA3wQAAOAEAADhBAAA4gQAAOMEAADkBAAA5QQA AOYEAADnBAAA6AQAAOkEAADqBAAA6wQAAOwEAADtBAAA/v///+8EAADwBAAA8QQAAPIEAADzBAAA 9AQAAPUEAAD2BAAA9wQAAPgEAAD5BAAA+gQAAPsEAAD8BAAA/QQAAP4EAAD/BAAAAAUAAAAaAAB4 nO1YzW8SQRR/M0s/WEj40LQNclgvXhoJoYnRi9EoTTQtmrZnE2ogYgRKoRJOYrxYT42Xxpve1Fu9 GG8kXvSiPfgH1Gg8mBhr0psRfG9nFlYKdRexCuVHlp3vN2/evK/dfOvberQReA9NOA0KVGtOGDa1 MfMAL+h91Fat1WpGf22AnsIcZPFXAA2ikMH3MpSar8KeGIOhusw51vkbrrdXRPe0eezaxcUHoc+v mJMqinGnLsENSNiiaYYKnJn5sTKH6B8Gg/455D8NS7iPRbhum74f6dO9J3as0h/FJynLUcjBCsTx 5FO4jwzKISZrNy2diob0HdDQOyv0XficMO3lR4t7UTW9XXL9aotxA/Q29lP/wy+210n/h7BcFsO6 of+/+Bwrc/61/hO6qP+2+aejN/TfmDcCwg6QjquwW98Hut+fMOK3veQ7kH3/gqH0FVXoe7PtHse/ 2dTV5Ww+myxo0dxKvJDKZrSpUBjc2HV+vt6mhxRGJTQFO6ee5cwWx6UvTHbfzbdYhfmxdGzYAwEI 6vboyMuAHHnm9jgEn4zpZYUxRVWZ/84MKB5cxMf43YiwetLOrekpiYODdyGVTuS1WKKozWXT8Qw8 fvq1uIGPFv5WvOJKrlKMdJyJeCei7oBHt9qREtH/zstVYz1maz0G9N6ur/uQTetZ0ExJlRyqIE6Z IGj59bFy7+X9Of/285n0B+S/HFJGlNeNSLugmuzDwA70H9pHCZZhO/+ie/SO/X6cVXSZnwNFn8v4 +zJG/gnIQ1j/WcdEB/EnYSD//4M+zTFsv/H9TqZm8AUbfFi5z6gPsyblNdCNCeq95Cmcdb8usiAq MU7boFKITci29v5f7NmL9QqWnuODLhHWmfhKQWPcMBsvXFsoLSUo2xE+1J7/vxVITnbT/zfW64L/ 55zPl/KFRBomaV3KaI/Cvbp2bH44BMbeBS1mfDrbhdjZ2AV62/H/zfHXSTVgIf5q3DfcFh9tcaes wsT/KsVVzfx//GSffzv0Dzr+NP5kInzsWP7W4tf28u8sf/g7Z9mL+AnfPeUmAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFAAAeJztWM1rE0EUfzPbVrOJ2KTSLwVXBEHR WKyFCCpWrR+HRu324DFpm9BIk7RNYsittCBFPPgXiEIPRfBQEfRmxYM9qaAg3hTqR3uphV5ETHxv ZjYNa2OTItWW/MLszud7O29/v5nZvH7l/nBvqvkj2HASNMjmHFBTUMcwcatQC1Ct6rK5XI6qNEy5 CjYUuiCOvyQY0AExvA9Dxk6FP6IeWWDZovfPX0qGTMvmc4V9A+Yb8/D8DHNSe5XFqUswAKGyfBZC B87IN1fcK2WMB9MOsPyfwflHYRCfoweule3fg4oojGep48LqztX8L2PkQ5CAFvErHY04f9IghbNU /xSrfk3mHZh+rsKRrErbQGrdBRWdbxasq/7nrwRJ/7SnVPQv8a/071cbufXcNJ7WAUvrW0FqfQtU tL6Z0QFDkIIgKj+COojhOuBXpeslqdJYA//x6AjdpXQsEeX6/9vYyP6t8zut3bQG0Jme1mfSPa0B dD7QMTlVPzvcqn6ltgr+fzB8e5ouOWTfuxvw0hnpHY4n4uGk0TGUCiYj8ZjR6m0BOgKeNfN1gh5W wdsKS8ceDhWybBy3NHdR7lrcY6psfWMeQBLewYKLUxsyUathtHvtEq3EVAe3cnIXFF+kHE2InJc1 qjpnvp+LB/hIDZ0A9tVsh2a1Z9KKNI25x5hOIf0buGQ89XFBZzDZ350ZxOUwIHz/4IbS2W1yClUc arsj0VDC8IfSRlc8GozB5P2F9BQmo2UxndobnqP5HWJSU0f0JXhaTUPbMrIM/D2XZWl/JGvZZ2XZ ZyKO3/J+7rIXVWTBzDhU+ar4Sm/vM0PSE1057HzuUzH3fW0C12S9yGuMabrOPGPt4Bnrw2SCtp2B k/HxNnqfOr/xTtViuNyyGtEKfHS/yOl81Lvia8+DFfylUMH6Y5lpeOHENDMT7YkPAAzv1t/OzNYV ZbJkGssz7YFGJh710W5ButFBri8EyTWP6Kt8jTDOuZlJJENRmCO7tM/sgZtiAF1mP9eBndVakVn4 2/0X6b6YDjaFfXIUtz3hLe20eMLzSnMxxoQ2ulQ5wI8Kv72/adAemVS9/v3gJw88mVhIP5uQkVn2 az0tB8vucaHiE5k1RMZHdgsjQ2K58MUD9jmuFpli+AX0WM/LAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAuAAB4nO1ab3BU1RU/77632X1vl02y7G4CtXaBColZkhCqFQdq+BO0FUJm ox07ttNGSWbpEBKSxUymmbKA6WT6SafKqO106KgfdMYyUj/gdJhBRqkf1NoPame0nTpkaLDVaklC QMz2nPvn5b6F4Aa20JRc5uTe3/1zzv1z7j3nvOXtP5b/7TcvLvwQ8tK3wITJnA0lWp2hdygDCMi6 yVwup9pzc2lWpRR04b8MJKAJdmDeA/35qnDJFAefe+YMMXuL8fqjonmjR2V6Jm5f2nbcsKk9pHRq C2yH9hnJ1JMDzNDXU8iYpUhRUPLX4/o7oRvn8QD8eMbyIyif9N4EofuFjKlC6pDlJtgJu6ANd34b zmMHnkOzRA8VtCsJlG/B1L0rRP7NSAFxTOBH+mIa3ZiU5GCfIBIdWakmKwoX3vcYNwA2AAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYA AgFKAAAATgAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACbBAAAkAgA AAAAAAA3ADcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAL4EAABvBgAAAAAAADcAOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIBTQAAAE8AAAD/////AAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAA2AQAAG4FAAAAAAAANwA5AAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgH///////////////8A AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADuBAAAoQcAAAAAAACI92AuzY5UzPtP enip+/9I8NY43f95UPz7z6Dw+1fk+++5A4WO6/jyLoWmGb9/dD8P2aKsxvlAvAPqzodhelteDtz8 83bqG8HyfKSSS4yZS/+bSflvZL/o/vrkOX79Gp3lTSh3mZxTFczZkv92Kob/ofv9hbw/9FYr/6MY SV9P8bheH/Lp7O5MUyTX4KQC90YIn5E4aws8IfH3/QKPu/13hwn/3e0v8IjbX+CTEjf6B8sI10ic DDw+T5efDBwqIbxG4k5rooLwOYljphcflO2fS/ysIfBZd/xwkPBH7ngvPojte1CBkSL71gP72Rpg Qw1goo8bLDci+7ZiVWQxG1qBvR328FFTb9lbxztji4k8DbPaAIMN/sIUCM2nZFADnIFBnakGE9tf hVRNu8+wNwvknclpeTdGZT4m83GZn5H5BOYeiZeQpJW1VdBdFP5XC3p+7dAL9fxf4anyMv0f5X8U I83m+3et5dN9IHXKt/8UF5Je0jHp8R/57uQbUhxIPiD5gsr/I5+a4r84UgWQbgAsQFqI9BWkG5C+ inQj0teAbAfAIqTFSEtA+By6/SeqluUazJNIy5FqkeqQSE/pbjbAnJ9wJUmdvbLjyjTfiodVggff bVMb/jEPW9TzBt5KmmIzVRJeAJUMhix4qdaolHVBt1+IgZNdSBqztKQUNYPkCU06iqUjSI2oLkds oXHUJwSb2zLpe/q70R1p4W/lOSZGgJz3ckPwjrIh9j2TSvOx9Kugqrt9nqrbFFZ1u6Oq7tGY4hnw 8DQkzzf8TaWi7xv+myKqbiym6t6s8M7hnK9G8v61nYvQXn3OspOC8yP8E6rFoOyebZ3tvYnm9r5E qquzbQccfuZffa8gJeo/62uIdYwKngyUZZxYQENr+6XltUvjhBv6lWXdw/EKt/1Eqbd9V7nengz8 1S/abYnfNUliApMjaxr5evrS7T3tchYj7LFKGpWU9jNqdXEu1S5+k9vvFS5eaRGucnGvyaWmxa4k cpe3KyY/oU/d3cn6N4YEX4VPcjtf5+KDtj6vsJGu8OIlZTpOm/Ggvq60+ZSj80+bN9piXfnrMGZ4 umIdplzHbSXf5ae81Z33hqAXvxDQcdjoiHvxolIdp82f2DrOWEGOmyX+jnHQr7ffZS7hK1ibztfa ma0r/3xS9jueeabs58p03Oj/oWfeycAGH+H1rt4cjxLeLvG48SzHm9JKLz8r9/Z/kPuVbW7/H83T +0etj/263xm1jli6/HHjea7HKZd/I38bWy/YF/zDaF9a+zsf6NoO8M0y56cvfRgp8LwbAi9W6v72 AVtg5W+v9gus/O2GwPsh3d8+YAs84vYXWPnbqcAXFV5/XuApf17gKX++Lub15wWe8ucFPumeU1P0 eo8fCP/DHS/wKYkD5isxfT/WWQKr/Ygwgcfd/i/P1/djnSXwiNtfYLUfI+wWjt9z8Sm+P8tdfgNh r3yBp+QTnsyZjrT7ed9uyYfbvO3Bnq7ero5MomnnrrbMtq4diZW19dwV3NDq1nFjrUDtShhddWgn aIntHQD28O8wgDIgiJHHWnIcHaqlG8Xg/LF/yh8Xu++Iw/m3YrxsGobpOJZh4IhWyBuLwZqMslLe iAYcHgGxvVWgh3BsbzXiO7Ev42yayVNx+9SAGCNCJcc0KaTSIrlN/G8bX8tF4ig9TsSiiCZfW3wh h+1fzgFZ7L8f239A25akWe7pwxg1jdSO1CNzEbeyK/Xf8BDInYZ9xjHzGEpM1I+FWwb/TS4+vGoK Pq/J/LjM/yDz100hc3brvy4/E/LKz4S88jOe9zVqnfDp8kbYMiben4v4Nx47cXi+8+rrw1470Vra sWo6/6bR1uWEjbNxL36pVMdpM+yId/Iidtwzj/2xa7P+38Yde3o7efXWj/Z6d+H2OhlYxvl2p8lH ptjE4fdNPF1CVkRGEXzNWYMx1trfm2nvhFHiS7H0Ivg5H0CX6O0Thgi/PWkm338ikL9nZj47mZrX Nn+bFzyvpbNwej0s6vpXEd/89Q+fvIz5X8WkIkNKFKiKufrkXC3+NYL2oQU2t7bcu66ppTWxfsum LakNTRsTa0C8jqtlvqK2fgYf1uj7y3kmpKqI1JJyS8RXGoMmRt9jbsNbaMGwsXrsz8bdY38y7hij cqFzm4vfix2/6zdoLn4vxL7Npvh9+vdxdsfv05/P9RO/7485Cwq3h/8f8fvViP9yuU7f4wNDT2YH xC8EMfgllvujjp0f/008HYdvTM7Ff4XGf3uu8e+XV/r7o4o/p9EPZ6htNEy38L4PBkMvVxv8Bibe H0T9GwxFsa7yk8cGunEs6a+XB3AeH8Wc4XTdKY3HJ31bHxKuwqfI5/ST+wY++IvID2B/4kPjzk58 3EfjLM7JgGRk0Xukovk86PcqugzUr0qWTa0e/bisKmPK1oP7/yjdevThsnfDlE/k03gZWplpZZJH Qbr6f2xlsnyL//e+dyHAnjh9Nnxg5xkex6sAQ3nWlibnP2kn54UAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAJgAAeJztWF1sVEUUPjN32917d7ttl3ZbCDGL JNCGUmDRRIhoCy2gkUpaMCZqZGl3uTVttz8LzUYTlyLE+IRRiTE+SCKJmpgG4gM+mBQlTV9UXvxJ TIwEUoo/URJTQaB1zszcu3OXlt5CgVZ6mtnON3NmzsyZc86cuWe+Lf7l6PFFZyGHHgMNxsZ1yFfa iMpQBOCTbWPj4+NW//g8zSlqhCT7S0EE6qGD/e+GdK4p3JTCkGefOWWYfkN5+4Do3qzyRipG1y+L DZIA9gcsm3oa2iA+LZkqGUCJuh83Y6KslIAlfxPbfzt0snXshpemLT/E5KPdayBs380Y9JuErNdD F+yFGNN8K1tHBzuHBon2udJKhMn3QNbv3Mg3WOmSdS8r1yexjTFZkN/PSpCVAlaKQfi8RTrM+/1c pZn0f7TDm/l/5qPHw+j/hTDz/k/Bvf/NsP87bN/tuMTULG5p2vEPfXdIXubWuDwQcWBMKRZZ/p8P Tj9nKQCPBfP+P3fJyt80cMb0uUZzee33kmYi/1DzfjfxB2N115Rc7kndzwxOe1/IJ8zrNUPMkXt3 l7Gfba3N3cmeZCIVqe/aG0u1Jjsia6tXA97edU12G78eLFC9Fv5ed8LlATPbob7pLnqeZoyozL+2 s8wvDj2wmv+5p/JbzH+GyNQ8bmku+9+9lo/HgF6P9z/m75gHYp6H70K8U3X53w+zOz+YzWubzYTn 32JiBI4aQbKkUMWm9rKu4pTHz3GDxE+Sfq/av1VbynOBWnMx+71KM2PCxg7zVg+Foh2t7fGeSEO8 N9KYbI91wMkP/+w9xUpk9aXepsLEOrTAlUTjlvgXoSDmbdS/C6tyGvWPi1Rc433Rse4qX10e4k0S l3gGSxC3STxKjnH8lMQj9FKxk7+5AHHM5t9VoPKXeP7g+95i4y88qvxR8kk+4kZ7/hruZ0036AWd D/XSlG7fnWwDOFJqLBw6H5pEL1TqRZN6ifqOl+MU/0g5H+gCX5b4Ua/Ao6bF/1MA8QWbX+ARm1/g YUvPvutl6vwZXWBr/ue9Ao/a/KtK1fkzusAjNr/Aw/Y51Zeoemz07Qw55QmclSdwVt6rQac8gbPy BB627eQgt5sVtvx3ClT5Vb4T/Nw2SNzuucz396/EpZoT98v+qxIfIwJfscef9yP+1R7vxP2y/zd7 vMAXJfZpp0pVfWz0CGzpI0QFHrX5P1+g6mOjR+ARm19gSx8j9GGOf7DxRa6flfZ8rwSd8gXOyhc4 Kz8VcMpPBZzyUw77KvGcy1PljdDlVOhf+ElkfDI/ObnAOD25n+TGj4y3RlflBMmVsBN/VqhiUwsa wk4miGO5/rrIvb9W+ZbzeTtN/KKyLL8QDLBiMICQFQJfds8ZQiltSvek4u2wDufF711L4A0+AG/s 88MhyN2zBhNTQ23DEze2onzr7rfecVT2BYMADzFwiGAfywS0r/Ag+EpFpqBTqyZegVgjlE3Ba9Wk XLb5bb4ABToQCMn9L5Lf7PBL0gCrDbKSYW+LQSK+OCFPALbFUuaOdCd7jm6HCSLolDfL6XBii9AS 8IdL1NhFfs/DM2hp3Rfv3hPvaI77ZPu73CIjaV3iTg210xbrtTkWa5wjZnGs57qr7Y7HbuFUAdem niqOPHPOOlUiTxWmPFUtiJp/fQ3/jULoQAu20iMVrFSCo64VMuUWE8Fyt95/k9nPYt5y7cudku/H RBnUPVvG6xohmmEQur8W6P5uVuKsxFiJsNIm670St7DSyso+yYf8e2S9g5VmXuc0Xfs5uyDx5my1 H1xbrv1sveDefmbD+98d5zzdCbo758/iEu2rZFFpC4s+FPws+DRgpOqryPX/y++Xw7XD5bx+p/x/ okhID4Ue5OGTORM98hzrf4Ex9lXhKrkMU5k3LmVmS+jAJjbFBsDYO+GsBn1tQFN7+lZxZtaD8YBo lYRJOviWJhBGczHBCrhJVM8ZcQvx36B91bdjP/dD/vB/jv9W/rCfZ8Rr0tYL+xzPiKNp6+W0t1jt r/L97BX9usTfaygpwsiQLTX8vHrNeHccrPz+bf4erbLz/ySfpdLGX/P31xobr+Xv6gob93DdRSd6 H9zG94WMd3NAzGvhYf4OW2Xjfl1dV5CYZU68tEjFphb2q/sytfcMdX5Te0AX+8rdx/S+k+S+Lx7J f2ah+h0i463zO/GnPhUHSSL8H8PwBnkAAAAAAAAAAAAAAAAAAAAAAAAeAAB4nO0YS2wbVXB210ns jUMSkyYhTasth6oXrKiNhOgBFYVEyqGhatLeCnLjdb3I3nXs57iGtkokVAkOFeLcIoHgikTFoeIU PkLtgc+BE2qlIrWcKlEk1AuQMPN2nvPiQrIpViEhE01m37x5O+/Nm9/6u297b7/38dCP0ATPgwXL Kwlo13iGLtAD0Ma85ZWVFTW/sgNbCo5DgH8CHBgHH2kZ6s2usC70oxeod5k4Nr8xJX8pnJ7QZe+f /yS9P/OV0YHPCx3Kp16CArib0qmDDaahnyfKmiRiHyj9Y3j+IpRwH6fh1U3rT6F+8nsLQt+PsuZJ xBw/j8McVCGDlvdwHz7ewxSP5iNZxUH9MViNuyj6dyE+G14T0No/NPstM3ZBaKdmf6F8sNxyL9yB fwtaGf/kS+vFf+n7iX6Kfxufj1ghr1Xxb0L0+Gtx/K+JkajrchuLRIVN5z+K3+tczNW6OKzNAwpU PuiEnbjfjmBy/B3DyHehAiPyLzoMPqL/Z2ObULIBPIr+VsJW1k9pgHInpWO6EurpqcZTe0Y5IQGU YwEo/qknoBzwBNJukJ8A0AuUA0N+H9N+pANAvgHwFOIQ4m7EYcQ9sJNH/kvgjPxS+7I/N0Z3/wx2 skTvG+HdH7RvtY1KD/koTz6wv70bfYFWhcWD7vM3MyVlAd4m5oJhmuZ0vSLcIozRe8l79sFbjU/H Oz+lINQFrMsA6298c+qFqUmiFw3yU/RE6wvprcNyljw1YRroTZYdxkBz70E+eNSbLQeVICec8blq RniB7xxKj8gW4MXpBk+6txqkD8Gvz12d03ci8jP1EjYpx/jMC8vAZx6WO/r9893cT99+pR8uf71L PluGYdl2zDAMc3EGzMU8oodYQcS+fVEguohlxCLz9Pkcj32mSp7mMszP8phowPNqvc88ocnQfIkp zZPdVOyr73c+CqQxcD9Esz8dU/bvNZvtr57CryD5i4CJr5BPaWOQeZ0NuaS5FF8aSLE3DXHPRplk CZ9uIC7gtb0ZDzMOySThaEbZH8xm+9P/mAk9M17RrThTbs05HhQzPlz74OfaZ4hr/TvMZQftPfGb 3bSbebdQT0tnIN6ITbPoBb7wBLpCJ/MvtVM2LLuVakE4Zpy5o+2k3HETPD5nkR3HJmaqSuKAJSUm lM4jMrM6jiPybvjuW233eknaE07NE3lHRd27vXKlUFKXkrSD2aBYypTdhtThpJQKEjz+1LbkqqCk JMAmiTMiyeNCjPbi+cLF0wjPj7fk+1P/3SfCEllv7hobikUGPZ+17q3/D/3q97v16r9er3dq9/aC x1M/sdDMyqLzEKj6eYPzwVarn+F6LHpS0td2lte0nUA8yc9kiCrLBLxLwrR608V39oWSk5pu/Vzq TPr51b6FNn9G202gaQ/YXiW2g1qv71zXV9Psl2feGOIEhPfiNO2BTldg+cqG+eex+N86+sGMRxPd pkB9wd5Y2G+ovuGARTfhVVRn8cCg+jApnEZncdnQV1yxLth6x3LFuip7ptmqCHK5tKOkXg57pmqC xzdlz+ScOBnYzBmV1QdvGXukcNUpwxyQq3ybx9dSJJN1S66fTTDvbA9VLz8Qjlq1t0fvjk4ZhS6S yAZuRUkMdhny/v+Z/VY1PJD9V8bPNjS8b6/d+RsdtPOc53uicbqRDinjqfHh9tD2anyvTc5X1Dt+ MNukpd1y0VWaR2Xtnsl7lb/oj03qj6frxdNBAeBEn333+p1Uoz/ebvnL03Q+nLfonA6sYvM5o2Y1 mptjnqokQtOW0cbz/A5aW5d2UuAzDZiWmKrUVWaqcqhgWmU6z7TG9CxT9Qv+a0xfZ3qO6XmmFxD/ BBNg38oAAAAAAAAAAAAAAAAAAAAAAAAAKAAAeJztWGlsVFUUPu++6Syv+3SBQsEBAQGllDZtAgZT ogiEUgjlF/rD4rRQ04WlQCYxBqhiIREJJATwh+IPihitGH6qISEEVCi4AeIGCC3iwiICsky9595z b+e9ljJTqoXYSy7f++7+7jvnfGd65HDqyW27BpwCR3kCTAi3+QEFAAACBQAAAwUAAAQFAAAFBQAA BgUAAAcFAAAIBQAACQUAAAoFAAALBQAADAUAAP7///8OBQAADwUAABAFAAARBQAAEgUAABMFAAAU BQAAFQUAABYFAAAXBQAAGAUAAP7///8aBQAAGwUAABwFAAAdBQAAHgUAAB8FAAAgBQAAIQUAACIF AAAjBQAAJAUAACUFAAAmBQAAJwUAACgFAAApBQAAKgUAACsFAAAsBQAALQUAAP7///8vBQAAMAUA ADEFAAAyBQAAMwUAADQFAAA1BQAANgUAADcFAAA4BQAAOQUAADoFAAA7BQAAPAUAAD0FAAA+BQAA PwUAAEAFAABBBQAA/v///0MFAABEBQAARQUAAEYFAABHBQAASAUAAEkFAABKBQAASwUAAEwFAABN BQAATgUAAE8FAABQBQAAUQUAAP7///9TBQAAVAUAAFUFAABWBQAAVwUAAFgFAABZBQAAWgUAAFsF AABcBQAAXQUAAF4FAABfBQAAYAUAAGEFAABiBQAAYwUAAGQFAABlBQAAZgUAAGcFAABoBQAA/v// /2oFAABrBQAAbAUAAG0FAABuBQAAbwUAAHAFAABxBQAAcgUAAHMFAAB0BQAAdQUAAHYFAAB3BQAA eAUAAHkFAAB6BQAAewUAAHwFAAB9BQAAfgUAAP7///+ABQAAwB3RZvDKFEkBiKO2cFtbGzaZvLb1 lQeqzIZa/q8OAjAZajguhpDTFLosmdwK1Fr4/VmztJA9svvpyLHP+Q41jzt/wLD4c5FX2dRMqILy mPaMLBYwA/dmZHvRzEniNR3U/k/y96+Ghfwc8+CFmPf3c4+IvM9o51UQMnr/Wfzmy2EJ5Ip/0Zf+ /P3RB10Q/fvjXU0gx8bPcLsL+whTjefjEnhNBHl/4R63xL7SG+W/9P8V79Zl5XH/F6YXL9v6/L93 /P+gRz6rc+N8jAPK37E7GbrWcz/vTwUZC1LuMrav3J9lMiyCpVDGPb+S+0ENjwMlxJZF5ZWBbtg/ 6kgSu+uwqEus+/d0eZD3V/k7xm6MAZjTY3xG/8fcwAcYY2W4Rn9H/U+Gdp9H/x/CaxrImJoBqAkA /QBjE0AWrwN4HchrNq+DeB3M60OAtgMwnNehvD7M6zBadwTHR3gdyesoXkfz+ij05Rz/RjH4rZqW tCGnduM3nFH5/OLaJbUVdYHJi5aW1VXW1gTyc3KFCz9VqtuEeSiSkw9Xxn+46E4W2rEo2zNopAoN 27jx5PGzrfVgH7dEc5+JI7NFL1qqj6knqYLiFynjS4inHKM/tcXrcQmsyFfUDy15hDuZWybuJ37M wh7+1IiMv3arV1o8jkmAGWV1C+aEFvJwGGDoEzeYnAF07jGGXDudbWdvu/ApjT/leGXb++xFS7Zt YO9Zan7ANt+g+Vv5CDk227xi2dfONm9R32ZjbrxsU0/YtixBnWFqojrD7lTVFkxTbRczZdtMz3E6 60xP0KvaLieqtpdS8Z5vshVhedL1hjgvg5Q5ldXlSwIl5csDs2ury2pgx84Ly3fxGsi9tPyjrIq9 8txMxI88q8mzIxWn5oR8xK9b+MVzC8aVqxGbLTGiQPHjPkOMkPy0NxCHPK8ggfqLRFwKqEI75bk8 YqdRBYpPSUFeqPmbycjHar4/Cd+RwcC9lw36IK1ZkP1Opng0DcO0LJdhGP76UjCTGcTzp0ncxPB/ f30QsJ3HR7Z6IphJor2Ej+O2k2qwhjzs8tcX21vAEg/s5T2mv74Mbb6DEsbiv/a18Sj+oUjMRPQE vgnvBcvk2xjihOyVjSZbNRLEGVaNhd7S/yLjrsOiLrHu39PlQd6/J/Qfn7ur/32a3rvlftf/MDfE 63FK/2+xHtB/z531f3ub1P8Wd+f6/5bRtf43av1v1PrfpPV/4131/w2t/4M66P8grf9btP5v0fq/ Ret/o9b/Rq3/jVr/G7n+S10PUKyITtdHByqG23V9nTkiQ6hySPJK4/FMOz+WHsnjjHV+5PkhNX+6 xz4+5OAZbsm7k4e0n9cUd3xRnztfZQliH6X/w0iPUl7vBwk7/j/6zxryOY6y9YyjnkLZw0+4iTdv 4o96t3zcK4ZX9tdXOdqwlb4HZWkh9X0oS9N8fxLycZrPF3wk8Qw2NOJ7Iq9JibSzDHbQtl4GO5oU aWcZrNi2nsfc4Yvsn+A67+rcDo0Y/UbaoQlq3VeFf1TpcywW/lSs+fo05CX6HEHhD2W6/wO3fXyz K3K8xywSEbU05PT32M7d7j8yf3+GzTIwYk8KllL+Pt8cK9acFOzEUxnuVBqqnldbBbAz05p84Exa lDe00Twjvuy1oORtzM7XuCS/TtxH/VeDav6qBOSter6dr3FJfk7Pl7wlqCxteSLyKUF1w8/auMds 8CIfo3kQHQ0mdrgHw3EPJwZaCXe+B2fE8phz43HdhUFlCZvjJMfMDDXKAqnlWOTefvC2f4MVBmOs NLSkrrwahuM+mNMNgbViAoafMy1p4PwGJnReSiaVTOucf0ZTPic8SHiIsJnwMOERwi8IvyT8ivBr wm8IjxIeIzxO+C3hCcLvCL8n/IHwR8KfCE8SniI8Tfgz4RnCs4QthK2E5wh/ITxP+Cvhb4S/E/5B eIHwIuElwsuEfxJeIfyL8CrhNcLrhH8T3iC8SXiL8DZhmLBNIeZavRn/2cqAiOz69zhFduLpKrJr TpFd84O23/PpKrJrXmxbz60iO/HxKrIXdCcjav9Lh9NfC727kyP3SXV/mmLn5bb+Qu9Kj72/ycGn uyP5ayrzIr5AZV6aU+ZF3KUyLz1/ul7/E1sEa/JspQgm+QZHBA47InCDC/g37Lp2PzfqPLfJ5VaZ AwIbCqS1rt439N5s0cIldYnF/+0K5HUo0AaHAoUdCtTgUCCvQ4HyHAqU7lAgt0OB3FErkHuYteex s2lRWvRpb3NcpAK5HYo0/l4UaS/u61Skqa3dV6S+EkvBeBHy2OMH/fIq6E7GG/kXYHs+d9qbIeJe Fe3zsRtEXCzWfLCI1yX6775bZcar+1vc9vGuuMjx41VGreM/ZdSaU0atxwdt66erjFpzyqi1flBG 3UEvYrsXZ0Y9t0NGXRFLRj3tzn7s/AJNnlkifhzT8f4fn8vUWgAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAEgAAeJztWM9rE0EU/mY2jWYbbZNKW2vBFcGDYomWQr2IQSsINkrTg8emJsVI kzQ/asgtUBDx5F8geiuCh4rg0YAHe1IPgnhTKGK9qNCTYtL3ZmdjCFY2JVBa8oW3OzM7876Zt2/e m827t4FPj1eGPqMJ52GgWvPB29AmSKRT6QW6dFu1Vqtxk0FS62BX4Q9Jdacn0cGOYQoZ+hVgYQJp uudQag4F/0U/RYFGfW7GVF32c4tW+duN3czfzvfPuUE4ADAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAUgAAABYAAAA/////wAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA0FAADhAgAAAAAAADgAMQAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIB ////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGQUAAD8FAAAA AAAAOAAyAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAYAAgFRAAAAUwAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAuBQAA8QQAAAAAAAA4ADMAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAEIFAADDAwAAAAAAAL6xM0TFfny5sa919depM99WBeeUimG3CVzD PBKtTrsOE1K0uv6DJIfg8F+k9aewQPOYxe2W+YPEzznQyX1uxvhJ5nRZ6vVfJ8snkEdI/dxjUK/f 0wI/v6GITuSO3Xi8kwtY9sHepx3sbUwgi0XEaOcnaR+kKQ5EdO2Oq11pkTc16nPrt9NuO7rAdvjb id3M75zfOX5xDOAzPcdn3v/7SXzgGAt0634H9L0TG/YGhsH54Mirce0P418Pw7/cr8qGEIZpiuBS GMGlOEkURo9At5D3xoAATHn3g24lBwnYzdvwXcf3hK4735gnyQkfUsUv+Rl5ouEVPNth9ZQ91Sed kp2F1RepJBWqNCIGdVt3vZ9fzsiyN0ilE94eDOmcSR+zqFDpBckFcv8BaXs89/FjMla4NV1aoHA4 o7h/S0vvswdMCo9E73QylchbkUTRmsqkYmksP/leXCGxQj+Li8fn1nl9p4W9p86aG3jZxUPHSnYd 8qO067b+ctXRL1rSL5Qdf9R5HonXHtYQLfl0/YY6qYTj0UQzExuRmaKl1GxmHsgdNd+vrvVtuRKb SdSZnhqs4nnc1HYzlW2VgbTVgqqv5ioLKWW0lC8kUlhnvRxnjuG+GsCXtS99aF6VsYUXRcKRKy6c 7R8QFM0MU/td09l1gC6TyZu5TD4zV7AmsouxQjKTtkZHQuoIdylab1PO4lRGRrFx7lnWLf/fv1R2 Apv5ebbtAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAkAAB4nO1YTWwbRRR+O2MSe504 9iahpuphKaJciBWlhwShQKKQIEhjqjonxMVFNgTFduKkpBaXqEFRQEXqiV44BAkJuCCBekDiEhAg IgrkhnqjtAQigaBSFaISbObNz2Z3mzTrdJti8LNGnjd/781735uZtyvfxX54+8ODl8FFjwGFciUE DbY2zT4gCnCPbCtXKhXVX6lTTdEJKLDfNJgwCHn2X4SSGwq3pHsZCtRahPHkW8Lbl0T3kH3s8bVn 2xLpL7UQq/cFFaaegXHIVCXTTjoQzb4fL3NMVtpAyR9g+8/BBNPjJLxUtXyDyUfcUxDY9zYHICvr gzAJpyDNLD/G9Mgz3ZKSe9mTVUwmPwBbcedFPu69LOs492+b/cqy2KkZnHHdAjz8IQIi9utUu+Rn /COWbhX/fZGe0x0s/vFO8Tv+CXiPPxN8jX9HbHidl919iFeq+vzDmB0NiLqaFwbnOYDuwfhulGPK FefZ0AT1u/6/QETG33EW+RmYgk7+807xPeJf4c8P2ot8P6mW5ePbBc9OfL+gS/BNj+czxj2eAfhW 01nB8wFjHt8CeC6oN0AMxHnSKv/bAe8EgAPg7W1Qfz/cXdKYl6guMOS+u9GHI2PPFwtThey0OTh5 Kj09VsibRxOdHApPpKw2Dg/FJI7C9Uc+mrSjrAvIq0vUmEsDZcAJxzSy0MU79EMcf5uf/ShHLq7H 4a1v2nmdahrVdc2YS7FpBMKs1s8Qa8xlwZgrspKRZYCVIVZGcUUy38uqw0DmvzhMI3x80ilWN+aO uRRBKTcrR+aNw2ShE8iZBPD/hW5WeuxLo91U7Kj8l8i9HGEGPMs6jAD2sUiiIYKRdoj3YqSFiKqJ LIJn1IQtwWsJLS7bwta4JmIGoB0ziCMNLXBQvnkwEpdY7X1WltjTZpmKiMUxTTCSnn5xtDSRQc9i TN8gYgZSshtbuvRF8mADajBs8X18P6lu1PYvYsqT5RzXM0AgOjqWy0yZycyMeaKQS+fh43d+n/mU FbPz2sxGPJtHi3RohFvmDzYrzNe9rj2n4dmSLWYyA0OjIKQBfYCv218U0mbLShqaBqWlSrmThXGA R9v1d7+6auwgTZPSCKhdjERxie+Liv8kjHyHxb/S6Oz/LYB8b1GX1tNBRAmS0M2A4JZusxohJFWa ms7kII964Gl5P7zOJ6DTrq4a4LYEhe0p2Z98aqc23PtwUM+69+4N2uM3Q5tBGlEpdBPYaiN9JBbE Wiur5cKq7UpUtT3eto1/qkCDZvllrA2nJkohya81o1U6u3syasRrzXyEhcflJo2PcOOxOg22vCDW NekbBi7RJeUQ7c1WJ/+0o9+kP4Wc/Z/rTv607Hdbqrq4cSP5Ir0RwxXGpZwPtEtcr2MW38L7VTxf pDrXI231N+rO8b1BdV7V8vm1H/htuC87cnfxu6WB3/hV328VBg6Af3ld/f337yc/vj/av/t7mMLv xfKuo7yTfT8+Lvu/kM98R4KuttkLmxGfVKvTPtF7oKEbycQL65Hg0rpn//n7frHflPvzfrkz+ct2 960/+culuL524bLh0Wp3Pn8B2ChJz5MUl7Uu+bP0Grf4z5LfIE7+TEDwv1jzBb8q+YcDq1zXJyUf IV87eKCU695h8Q8RrntpG+Q5bPhrVNfdedCf0ex5YUPqsiHQZY6kCUuvgYDg95DjnUc5u+d41HuO t8N3hdvL69zfX3Ym295GEIfuva1cqT5/rSb/35/vTzvHj/v708piHDbPxXm9Fr4/3W7+rwk3O6h+ /9ce7fX+/wcnPGSaAAAkAAB4nO1YTWxTRxCe3TXBeQm2Y0eEQg4PKsElSaNwaHqgcgRu1RZchLm0 4hJSu30otvNjGvkWEQmlFZVyKqoqoVSiKvRQiYpDpV5SVZWCKgESh94qUFFAVSQaFaX0B7szu/te 7Je4eU5NQoTHWu/O7tuZWc98O/N880bL7c+u7LwDLnoZBBSKjdBQMsdKHwgB+PRcoVgs2uvFOm0q OgZZ/OTAhBhksB+BvDsU/pO2wxbH5xx5fp3L+Rm1/Erps9N/ht5549dZ1ojjqN+OqTdhEJJV6Swl AzgrPY+XPSa2VrD1H8Tzp2EI7TgJp6rWH0b9FPcCVOx72RPEltLjGAzDaejHX95COzJoW1xz73v6 VUzU74Ml3HnR34Ltcz0mNzwu+f0KrvggvknL36b7AEj4w0rP12lz0Xri/2h698PXEf9boab4L8s5 XvaYsLH4J6oh/qs+P3nIxr+9bwss3QMF3ZpL1m2cB/WcgX0A6vl+sxPT8UDxS3mE4oBqPsIoQZRy NfmacgDFwzbtd4qHkO7D2Ef0uFqq54+NJS/3xSpUdf1FPp8SNdCsqcbneab02+9vNv7XG491/G8s MfS4MFQMuWu3Nvw6Yg2MZEezqZwZGz7dn7OyGXN/V7dMBYcSzpxMDzbTtR8evvT1cGmUNUnBlFua uem7bVDG2NsQhJ3QDpR/dn3/gX4yOv8ctF/eLseCMWEYTPg4sPBEAkSQQROO+uQrjME/9s87cykI T1jYMrrPYUvScwY/ewD42fCe8MQA9j/sEZi+cMNh3IqGtTA+2UPKDJwbdM3h5jMd2D2fihE2OrHS o5zYY0zzQwYhpyNP9v/NTY27KfkXCdobOm6lk6NmPDlmHsum+zNw6csHY1ewmd0LY5OOPC4x95sj d5/obSQRPXnFc/aW5pWe8YKth1Wlh2k9XOu5JT7xk4TBPNf191Gs/JMwCt3y4512rKH+lCeo3/9P hX7aY9/99v93XK89RlSfw4W4oDWsBMUXjCrFdrlKaG50cK3egmjEOJlBoy62Q89Vxr+ymSrJGRxd xjaNt9E1oSpOeqYZjvTn3jueH0rSzUTx+xdXO0Db3cmU7Fb+NisyGkX4XqFGrTzKT/nVXJQHDDeO pIzVcNSeulBT/DvynjD+S+yuhH/85n5XTIxf/SdQZRjVaYPpEjByIx96dzHgn1n07D8VD1+xKRkP h/N2fP/cQPyAw0fl7ZBYFu/VxeFSvBtSbq9IcnrbTFkZK5dUukC8IKX2WStglZOuRD59MjsIcGuX YV69E/EY89N8diuJ+Mmy+QZ5xk6Hv+4j/oBFttHNY4CqkIiULWHwL9kyzjjnifxoLpmGC6SX3pR3 w4dyA114N3+JgPvcldJevC/+GvWrrX/bJG0esW3+v/Xbuvh/hXqnFv6faTOC0YWIx5rnifo/Rnrd /j/x+9Pvf2/1e+UzbIr6ffmM8/vZ9n+q7b//Udv62B8vt9Wo7kQ1ENMFquJ7ZNcaPBEiflHz58SC rHHuaf4RL+fP+BR/39mv+DnNd/jmZKy+qvkA/7GMByEkHjsdfh+X+Fup1inD/XzIMGbvhuGbiw/G vruocP9HKHVeYU24cA/imqyhhhy7DvoUvwacnyc9bpzfnQu7cC5WxbFDfLIb24vYemsTHuTX5fit RHX8P9v4ZyqEy6he/28+Wmv9/y/422U4AAAAAAAAAAAAAAAAAAAAAB4AAHic7VhNTBNBFH4zWwpd QKA1gPUnCwdPgk3BRBMkEMRoItUAiVcLaeMS2gItkp4gIRriSRNvXvRmvGE0XInGhBNiYuJVIqIx MWrCwWhonbc7s2xLSre1gbT2a5admZ2ZNzPvve+9Ye1Nw4fHi+51SEM3SJBIOsBuaiPmDvUANt6W SCaT4nuyjKLCIETYLwYK9EOYvacgnm4Ke6IRKgydU1anq1RrX9Y/XzT3vfHlduDM1xWCNtVTIWzq KoxDICeZZshAiXk/VsYc5o8uv4/tPwQTbB0jMJazfCeTj3YvgW77VsY42BPk5X6YhGnws5NX2TrC TA8+Xrtl6VQUJt8GO35nRX41oH/rQDVsm84vwZ9q2O3LtbwtUWAbLOPgsJ/+3/O2+zr6P9p/Af0/ xU6tjDlo/0cU0P9z3j9qSPi/GFcJqTyAEFxQA3qMR8hQjvGlBMLtAe0X4wi6JcZntIcqrneZv63w fjk2FBco599rjPkDEAWP9rOO5jz4B9FFcxCSBfnILySKWT6OEb4v7m9CNV2MDDpZ5TfBbyxqS9uA bHFM+4pM4aCipEdBLBGKy8BSO2nmbdVGvxoKdNnmZKWT9jpw85jJLpOwzEpL7JljS1kiepaKfWpg wB+7ORyfYOHQo8n+QxW+z3valdRGoX5YDQWiii8wowxGQv4wPHn6fWaRPYrn54zcElzA/bURndO8 8hY4bDjUG9fnm0uI+UhO8xHt3H4Y8z4iLynO4IuLeqd2qqO75OCRoZyheGgkMg7gtskPn6+7Mq5b l0MMOV3aSl/EZX5KsnaS+g1dl+XU+nJZc4RSOhSPxgIhWMB5MXNqgbspV/o8kfP9C2NEd/ZullHM /nfQ8sX/bwoVt8vxv7hAmPYlmfN+2t2tif0ZUEenItFIMKb0T077Y2okrHS0ewCvBBeGjDaNrEWl vQO2zj2bNFsZveNsdc6PsvfrVukQszrn/BWQ6hjJI1dROPqqlff89e0IvHvQpJUlQiRZJvrA42wC nz6mgdAFr8n2Sz1+1dcGZwsZv3bmI8BjwuqYO7hqjgm44Y1NF+j9qBF/pAw84uv1Xc7EMXthf+xv L/lAq/JZeAkBFb72Ueh6J6fJpmu0s33Snzl/mUX7Fbb6b/xhzV/QN9L9APMur3xWClC8LQfVsBoL 6L4J0mlt1l41W863eULuW9lwZZAl9EBFzkdXKnGK96qo2+1YbzPqqxonnFdzyQkLlb9WNsr3T31y ZeStAuavKfoX9nvpc+72W9a/cab/Nf/ns+5SwV+ocx3yAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAB4nO1Yb0xbVRQ/7762tK8d f8rGECs8MDF0G6SDD8o+uDEGbgkrDIifZgjgY9TQFtoiIS4RRQlZomk0/psRsw+bxsSZLfGD8U8W zZLtyzQx0TE1mZHF6D7I1A+isfWce+97lApbO0nIDKf55d7ffeeee8599557X7/4vOTqiTMV30OW PAgqpNIucGS0KQhmkmIAu2xLpdNpalIR6Q25o+RvRGq9ndiQdZMuiOIvATq0QgTLGExkp4KbShlm gUx7ufRJ5aiXq+Q7/lrLnTz+Wr5/OhvYJXFCnBOP2zJ1k41dk/sqLyp0pkw6RZsCHTAMRr5uW6IB U/KNvxqxGczxWzD+MIygH/3wWN7je3F8OgPNsy+XPlWIQVlnMv5OnHkD4hDgv9ylXMZvy2N8mvpZ u6ib80b9zbOAUCD1XEBzLPbshvz/pBVGYQz6cOeHcB9EMA8EJXs8p12p4wrOtJfrur2i5Kp5a7md 8ddS7uTxzTs95S/KAZQWKD/T/qc9bzgANAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIBUgAAAFYAAAD/////AAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAUgUAAJcFAAAAAAAAOAA1AAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgH///////////// //8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABpBQAAUwUAAAAAAAA4ADYAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA BgACAVUAAABXAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH8FAADg AwAAAAAAADgANwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAGAAIB////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAjwUAAEQDAAAAAAAA7n83woPYhChEFAH/BIASoBwIUAoip24BOhMAtgLlJoC7EBWI uxE+xD2ISmlbl+VGblk/8fH3/8Snn8j9OPPIVvA1V/C6qiiqptkURfFOdYNaxMCNtWZcNN6pQfBO hRARWSYQlC80Nr2/hk17a7xTQeyCC6dEYTMN4sn5GrWQ925f/gg0bBvOasMOT2F2WRG1QPps+oVq NhMA9vSujGfNiDhiAhFGjCASiKgsQ4gBqduGiCEMCT9iB/cwv3jJCYxupZi3o2IHulgLbGYnlv5V QsoKa7qyZimsFul+BDEoQ4hIl8OyjMjwyH49yB17n6MId+3BvsRQz8QIutvJ9+BfTJd5IsnvDube V2QuMb/xFbyobMNEcNhOzzATqKcZZQoff0qZwsXMmrgF8X8EGJrgtXqlXLa5LT0Pm3ToPq/0rULe WSiTnMPaB4irmCqaHCv7P6LQneRPJnqA9LtOEbY3swDrdVKtFGvXXSLWyZQZK9dnUNwTChtxPWiM 613RcF8E3n7nl/EzCD1wY7x9y2CZsMkjhgZtzv5WBc1Qwl9veGRLaynlxJZoZDAUMcJGxCnbb3hp EN1v8vc432XxhwqJ1/o1yUs9lGt1LqbOCTfp+C2e1ojvtPibnNda/Esb8YAubCZZXznZbIsZhn+H U7YVlHO/Yh7J/SWk3RyfCI8koonQgKkXLWbcH5PXFXP/LX5/kRjL5FUe4Ys59nXXUjzZKy2/2Wf8 zS7gWxBj1dmPF5CJBjl2sVrtyuS/wt5lfF6xSf0VVgEjP7onwv3RYYCfirRtQ9e8q64C4QcDc757 S8jESWv+X+Fzctrio07i2y3+sZ341xZ/VyX+oTWH0U2Z/ZPsYkGmfpLN8fdbZ3Gzf3Zcyn+a3zn7 eb42hy0/n+Tz2WHxXgfxoMX38HzRbfn1hiez/0fq885MPqs8y3n7Upz2THtJZtrLXjf5xbX0vjS5 bg7z703cqKGEIcZqctzLrTaHNLlW/q2zwDJ1KA9pPFeJY1L46AXn0pqaVBhj3RPxhBGGMvKH7k3V cIx3oF31zI9eyJ57FVaWYHPwAJW/vf/zkdlv468uXnpx8Ur/0fkq2zcXzn514IexvdwL1yG0kUqr mszbWd/edAc7GBqIRePRwYTeOjrWlwhFI3pjfYBf5fZ1W2082ZqkvhF+bzo7uoprsHTf7AR+ZrDs 59RwBMR9kMKPXT61+9h3J3dfw+l6XRFt7TexSc8uI3ok9oC4e1J7ZZbNRUz3z7Fb2wzCAz5agKZN Vdp0r2CTxsvFZrec6y6gk0nY1NPL7+BJGW8BrWD8qgrzr3z6yjJgHMsu/u9DH3553Z48+lopLy/Y Xzq68FnIGTheCoewvr+gDMJY+kq0l//AdtKZt4k+Q7aH3Wb/fwBfO4sCAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIgAAeJztGFtoG0dwdi+S5ZNcy7LryI5LzikUOw/X j6+Guti4Nik4Uoj9XWobiahYki1dakR/nLgUExCUEmihP+lHH7RgSH/60R9DCM1Xm5KWfhRDQ9OQ PvIoDYSmxOrM3e7pLMvJSVZiRDVitDt7szuzO499XP626ecPz7dfhQJ4CRRYz9WD29bGELkk/ACq aFvP5XLUpCDmalBVcByS+NNBg1FIYJmCTKErPBRawWXZnHyDf2N6yKr5eczOe+fV612Dv19iLqwv eqRPhWEWIiXJtIOKHmmfj5M+nYgtIOWP4PzjMId6TMPrJcsPAGcUA9L3nfaLinIU5uEkTOHKx1CP BNohJKg3HK2KVsb8yUJhUa9DfGDrT7H8FJgxTViPdTdsjmtPkbYaVB880fgfv/ADxb8PKhr/zD4f J312Ov5p6hWMf7YL8rHoRD7t2zL+ZT8vbMwDEij+GyGfDxqE/jlB16C6QZ7fFFHuBNT8aOeAodUV 1Yznwty9G/+OxmZSyXQyqmuj8yen9FgyoQ309AKl8JcnrDag9CGJngG4+8IX8/aM009Zh799cZ+C ZwsWWBoHBZOKt4nxDqDzyJ4LA4LzyG9t8P3Z3UZdYUxRVWSfQHYOXqwNG92jEFiKISZEqSOKZMlP DSOmETOIccQ5RB0xKcoY4gwiZs5TY4gpxIjAbsSDhginInFWR/bx5V6g2QWWQtbElsWcDyBjGPjp LuDLfVh2C9HFsAt5Z3GkdzuNEU8fFu0jQv0EYlRMISFUjosyIaZH4/fYM/vDwZn9KDvo3T0RMnu/ esP1VgvtISPJRBTzB/cU7C+V9x+Abs0jZOs+yll9gma2K6kE+t6rqcb39/lkO51fx1KRSPdBj2i7 30Y8Wson6I5m4h5OZ+JzelKPzUi+6QANrmmS1gLU77BFn20gusuS9ZrXbfATkGf/yzWxI79DjLCL g38yFo+ktVBkQTuejE8l4NPPbi+cR9R6/1oYDUav0G5+iHGg8g6eLUxZL7r+8NAQ/UL2XuWMaqfv w+cb6D/ZoOA39Vhct+nBSY+JTHw6OVu4dmVAyecvyvfhR7M5hlLlVxqqW36/muV7A8X8P8sjTXb/ z/Jnm+z+n+Xv+ez+n+Uz6vb8P9gaDRb3/z7XrTq7f7co2Xo7fRtWNtBX2VCdM/+va1NvXrrWvIUe TOjBhR5rrj1+GmJFk/SaEWcHLPofF9E/WvR3CtFfWWv2dSPRH1n03w328bL8GY+9f5bXG+Mdsmg5 XuG82LbWd801aOg1a+l9z1jPsEV/4iY6ZNFDRp6dsPR6usHef1W55bHTH7BfDXrc4jfXKWTRcrxC vyltXnl7qcJvTjDyyWgsEdMjpqxB9/PGqMMxVfjKZp6b3M7znLsRxzPPSwSmjgHw5H1qkXHOJzJp PRKHIOlD96xOOGN0oCi6dr0ZCtdeKRqRuCrDoVccyLm4Etzu+U2+6ZImpBW9zdFa0LuQfP+h0guP 735QO//vHHDx/nIMUvifhl7j5xyCZbw/EtxgJQh5BJQjv5JQzfKpj4x9Jmh5oP4JP7yJxMeMvmEm UK4AZYsO4ytlinoua+YrGNUYJzWo1sOCos1r8fn4EF9UAmDm1HbxZuZHehVrXyIOodR7OJhX8Pjg 6JR+YjIzh9etY1DO7qC1RvebmRfErnAXNmd8sDJ+OTtrXobcgUDsrOeY2NnK2Un207j2nYTg8i9y JwHHO8lW8f9k7v9b27/C9/+itjnnjfoft/3zMipqfz+NW2j//EnCuf3t998sfxCU99//Q/zX7L+1 /Svx/lMoc9Usau8/VfD+8x8mRkAmAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAB4AAHic7VhNTBNBFH4zWxC2VWgxhRAP68VAjATh4l8Ugph4ABvKyYsU2sYa2oVS JI0HwYMmnowewYOJMZ5MNIEFAACCBQAAgwUAAIQFAACFBQAAhgUAAIcFAACIBQAAiQUAAIoFAACL BQAAjAUAAI0FAACOBQAA/v///5AFAACRBQAAkgUAAJMFAACUBQAAlQUAAJYFAACXBQAAmAUAAJkF AACaBQAAmwUAAJwFAAD+////ngUAAJ8FAACgBQAAoQUAAKIFAACjBQAApAUAAKUFAACmBQAApwUA AKgFAACpBQAAqgUAAP7///+sBQAArQUAAK4FAACvBQAAsAUAALEFAACyBQAAswUAALQFAAC1BQAA tgUAALcFAAD+////uQUAALoFAAC7BQAAvAUAAL0FAAC+BQAAvwUAAMAFAADBBQAAwgUAAMMFAADE BQAAxQUAAMYFAADHBQAAyAUAAMkFAADKBQAAywUAAMwFAADNBQAAzgUAAP7////QBQAA0QUAANIF AADTBQAA1AUAANUFAADWBQAA1wUAANgFAADZBQAA2gUAANsFAADcBQAA/v///94FAADfBQAA4AUA AOEFAADiBQAA4wUAAOQFAADlBQAA5gUAAOcFAADoBQAA6QUAAOoFAADrBQAA/v///+0FAADuBQAA 7wUAAPAFAADxBQAA8gUAAPMFAAD0BQAA9QUAAP7////3BQAA+AUAAPkFAAD6BQAA+wUAAPwFAAD9 BQAA/gUAAP8FAAAABgAAHownNNF4Uk7EmxoJiYnxJ3oztr43O1NKLbDFBij2a972zeybfbMz7292 7o37/Z2HjR8gB8dBg1S6Giqz+hgSV41agCrZl0qn09SlIaXLKCn0gYm/BBjQDTH8j0My1xRWhRcq MnvuIPt4bVnIrHX7VLZsx/T4p9DAS6YT71A2dQaGIVSQzmzowBnp5tL27IzZibQblP4ufP8ojOA8 BuFCwfo96BHZ62l3XLhgTSuCFaqf/HVGOnIF0u+s8SlJLljuy5WynSqm8ZWx6Sim/5NJreb/vvT9 ijD6fzUU3/8V7Iwpsv8zyoEq99kZ44Ql/++GURiHAK58BOcRw33ola2LtlbFQP0OWPJVO/p3IU1L Xo3bAcvjAEHFAqeU2wnlGLDdoOo3O3BJ21F2UUbpoxjxhxUYf5xZ8acYyH6fIj72v9A/YfSZ0UAM ntz9OvEMyWj9PtG0OzxPOeUA7iz9f2PWWa9Nf88+a7TbbUHVfsepHQzuwesvbkj9N8RR0cGh1p+M DprDAC/q9HOvFjwr6AGph2X0DAg9+4N0VthXWYN5nt6OiadbujxClngOP55flu9z6LYXhp96Ba8x puk641OdwKeCSH7Qahg4mWhd3Y89bQBu0PmVJuR9SCZSBCmGNIQUQIojhZDQ1Ke6pIwp+4M4I161 nk1TWNJHuhJSV7P9B4i1nmScc39yLBGKwjytK1VGe+G6WDC6LCx6IHdPNbF2Vv3lw8ovBGPQKn72 0bDO888MX1vGLkrZ/zZbv/qmQ7ZAdkHnQTrrUT1Idk21OvmgOhOq3F8D4hOQ7dqhjK0LtfcqjyvX fFsHcAkbZzndQ0vQKFJzEXMtS6nmirOqAOIYx0cIroU1yD5nRs7FOzh4PGBF9UZ5ZiJLmkXuHtKs G2CRWVUCybigJ5A4358cwXJkQMb+yZQ1QxH7gPJMfyQaGjN6Q/ny2UFv+KbKM1Z+mWRH3TS0OemS 7Vs6WXmXacaDkVggEVJyJ3SSM5JO2XZX0B2fGYkNBeIZqWsOkmoyq2X7iPCnzqA/licvFjDf4uVf p1fvePzB85cehh6s6XLfc87u9XjpiQzFzTEznDC6R8cDiYgZM9pbWoGW7aQ/0yc2SzVa2uHn4Uej 9uLP/2B/2XXOVrO/f62/8tQfN8mucuuPuY/564986O3sPW1xa+vfGPtdvf5b4TVsIbd+/falHo49 qBf8RtSvq69/GdseK58/bNUO9E2w/D2odPEHhZCDrQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAABoAAHic7VjNTxNBFH8zy0dZUEpjpCEclouBAwTEg14MfmA0kUqAi4khqWaLNXYLbaFZ TEjRk5446g0T/gG96BGjiTflT9B4F4kkmhhb35udKcsmxa1UENzXvJ3v+c3Me7++2V173/bh6bOO j+CRs6BBsdQEDa465u4QBqiTdcVSqaTaS4EcKBmDNP5yYMAwWJhmwPa6wo5yHOrLNudY5u+4qF91 mi9t63z9cbar4S1ronZN+dQ1uAtmVZhu0YEz9378jDmCegwU/gXcfwqmcR034U7V+BHEJ7+n7fjF 11ETMj8MMzALcTz5JK7DQjvEZGnO16kYiF8HW7zzg9+COinzIdSfrvMrevyDys1yfm9bIAdf9pL/ hdNPMsT/RsrXjv/bYo6fMfvNf5Ia8r/q/ZOFFP/VOIrz6n+gKFV3tQfcP5zCpD+Q/1IcqUclXyCO UmygWK1iAKVHZRr4w+EQdX/XZOpHAtsfHvEVrHaWqu/f5D9jvAbIUmq8n/8Kn6E1NN2Zw3t3a8fH SPJWJp1NJ3LG8MxsPJdMW8ZgX794hbg4Xq4DCg+q0DcIm2eez7hRmsXEFFta+BAvhCKYO9HQCh3Q CRR/Tr0+L3t2b0ThzVJU5DXGNF1nkQfzwO8voHYDXzRRLZlmUKdQbdQe0FoRqI3xxV4sDogZ1vNG /0Z+rj2hUWzrZU5MO6lvwsNGWlLvAOH/4IWig74kPnHUcQhPJFNm1oiZeWMsnYpb8HJlPf9qxTsf EzHzC45qFvMus++cIqdpmZkpu0eiLbMcp4m7LVW+LO6MC5YXnVWFDhKdlXGuim8w85Yuz1cXdnW+ 2zhYEdFX7rTAOJf371G8+ZuQhX7x8y/RP7h/kgT8/zfwaYy6+6nvd8o0k3j5u4eFMKc2LGghRmzt FK3E5qYyr523IMoxTsugXB+LyrrK/HfWHMbyKuZeoA6hg36TjKI+LTASz92esKfxdWhUerEh9+mP r5/DCbuW/N+abz/4795NDfjPx+1szkyBRv8r9D7dBY/EAHrc+BoB7061Cp4UOxe74uSqwd+b+FM5 fuw2/hAhQhVOxI/sHL+2zvRvSdn+NvmV1/5rnwL7/97+uzn//bb/L/d8j4cAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGgAAeJztWE1M E0EUfjMtCAsJtVFoSA/rQfQiKWL8FyWKCUaqKdylaBtrbAu0SEo80IsH44HEu9FED97Uk/GEP9HE g3LzqtGoJ0HDzdj63vzAskrdklJB92uGN/tmZt/OzHvvm2Hm9ca3t+63vgMbusADhWI91Fp0DAvX Dz6ADUpXKBaLpPJgKbpYV4hAGn9ZMKEHUihHIWd3hZJohpqFPSff4K+kh0zL5uPWvtOj178Ea18w 4VNe7VOn4CLEyrI4ADgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAABgACAVQAAABcAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAJ0FAABUAwAAAAAAADgAOQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIB////////////////AAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAqwUAAAcDAAAAAAAAOQAwAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgFZAAAAWwAA AP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAC4BQAAtwUAAAAAAAA5ADEA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAABgACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAM8F AABNAwAAAAAAAGmFgR5pnY+TMU1YNoG2fxTnn4Rh/I4huFC2fT9wRjGgfd/puLiSPTACYxDFlU/g d6RwH8Lq6ZKjVTFXMH/aoQ5Vp234YRlfUKUeFmO5sCqe52ItoJrxHxo6N0fxb2jHg4rEP7POx8mY vx3/xJsVjH/mhcVYdWKfYlvHvx5XB0vzAEHnAkIDSJ538W/Bib/8AWXHH/nRNVYBywoVns9/ZV+f 31cS224+WP9guPseQ/qQnbtb8E9f4uxoOpOOZ82ekbFoNpFOmZ3tIWjEpmP9CzogetAP7Z0wv+/B iNXLGsSLa7A08ptskPux1lbbBK0QBDqP7nq6WfW89yQAl78FRN3DmMcwGM/3As9HsJiyz3c+WZC1 KZFFvBx8A4lkLGOGY+NmJJ2MpuDh7dnxx1jM0NfxN/74Z+LIHdibeG6nMcgeCdY2c/p5vzgV90YM 9WUGyNUhBIVNvxirbE4yznl/LpONJQHo/XQS2QJXmY7HDx/9IG0yIeeYPCP8DuHucK+slWl5vtgc n7daJsy815ZBWWYlLOs7PfXwqj2i+xnFdh2Uzg1u/K9/cHX+Po0n/xhkICR+zhFYwf2T4PL/2rCv M49F0/2rjjLkSXFWmDBlTtIZuDr8sUz+u3umyc4fc7MBeDZVgj9MIXl+AviVLlnyHSX0iK3qn55t Sm5Tcjuv1vwldiu7e5TcK+wDr7P1O6DaDyp5SMkuJQ8reYTL79a5n5ZX5gSJG1h5icoTjNrw1ui5 I1Y7KFqJKeoXeF3egqnGOLkh1dpZQOmW53/psz5aNaw9x2Ji3zi+rEH1aYS+aPb8QG44Rpu01Puc 8b+vJf5pNfmf3m/n/0UWXl3+r47/LR//ZZ/f3PivePzb+5UT/z8BZE+06AAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABoAAHic7VjNaxNREJ/3NsZmEzAGTUKpsF7E iyG2XrxIReMXNEq/vJpKUiMm23zUkFt78SAe9B8oCHq3nsRTi9CjevAPqCJ4EhUUBDHrzNt96XaJ YZOuQtP9hem+79k3b34zb/v2zcHNx6vD78GBM6BAywhB0NbGULisRAH2WW0twzCoSUExfOwqTIKO vzpokIEyPqvQdLpCV8TRC+RaAfKP16aHrJndF+xj04kPbOXHBgtKZxH+cxXuQL4nnXaowBnp5pbv uZkTRjkEUv853H8JFvA95uB2z/pjyAi7Pd3OK/Ss6a9gveonvj5gZjmE8ruDX6hg2rNlEx+DBy/5 Txzsxv9n6xcV4v9+qnjMfwk3czzmPyMqydznZg7tX/I/AxVYhBxavojvUcZzyFq1u66soqH+AGzl XTf6ifMnrbKcR2tQHLBzPQzb87kfAwYP3OLfNWR+HmqQFj/3SPaZ/2T+8QL96PcSu1m/vNNT/KIY QHd6up8R14esp+S9z//BA8MTVlTTh5y5O4F/Joo3q3pNL9S1TGUxVy/qZW0slYYIdp2fareJlCor qTH4fvp5xb3vSt9jVl1+Y1aw4zM2XmHUh1lLeSq8dUT0kqeGuCyZWVh8kXJcQpRSLGm1hdvjInyN aUoMS8eCB2DYytlR2jWWNlA2cew9Zt4SaEwEJnL1W9PNBUzHaaH7F19qmW/4UESxAIfodLGUr2nZ fEOb1Eu5Mrx48qWxjqKlvzUiRwqrtL8TOJo4NareYHOcpmpNWR8XLJyZVS2tKpinQzB1xsRcS+cS 45xPNWv1fAn3hOvTTego3GfSppc+xcDUycTzK2tfufac/Y144ee/tD+t77T/qY/u7E/Ins1eNku9 698pf+X/b7rBj/+DCy++P2TcILiYsu37wwvY9+PhsntG/1b86d7WCRSbOFx/ddiqH1+Jw7tHSVFW GFNUlfHlGeDLsygaNlbxmUeZRymi6ChlMbyv+wP6Hh9yN9RHB+z0/uY8//HRBIy8jIvy/zp/97v1 4cQfl41GzQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAeAAB4nO1YS0xcVRj+77kzdF48OmB5FMulNbW0MOVRAsa0mQYxaSKoDGHjhmEYZCww 7cy0PGJisaYhTUyaiJroQrszXTStJhp1g6mLGrW6sOpGY4U07lqjXVhT8P/PY7j38ugMHUNJ+Mmf e/5z/vPgnO/77rnz/Xdbfzt/ueIG2OwQ6DC/4IY8U51mTigC3kZ18wsLC6p9YdM2lHVBHP9SYEA7 jOAzAeN2KKxq28CZPnMHxuwa4/Uzovlpc+65UONXP1+5qvkocClMPQtDEM1qTrN5gGk0N5PYy6QP zV8Cav42/P+H4Riuow9eynp+PzAL5jPpU4o+IMvtcBxOQBh3PobrGMFz6JTRyYx2xVjD/OXob0gy b0G/twwu5qV7QOzrvKzPB3F0uUPgpq2n5ZL/xMHV+P/+3PMfEf/dWA7mmP/KMumTY/5rRCUdMtef HPNfc8AiHzOZn/j/heS/6ucEoQOK92bzyrwCU34hlreCVRs2beMZwYBJ/BKOCAd0r6P3AlGUuErv AMIAaT+dNeGAzr9IYsCPXgyCU48AaYLIK5PPCnxuR69EfxR9B3oVx65o37T1Myb19zlU/igkoZ7/ ZW5la7h/kJ10ZjHJfWwt8+fSNvL868n/Te6vv+WA/1nff8iGNvn/kMzf6Lno7GN0fof7Q1EXrwk6 Wrgq9CeJs/+ymXsi9xyXCweDotD4cF98CGBXqefO1bli+ODCrdHL6Eb9n6PluwZmSUvqNMY15TYi RI37634aYl9Sxbcet8auMmv82VaK6xbjLRQflOs6NW9fV0e30T6WSoThMc+XK69Lk+ticl3Xnd8Y NERTUsU/VlHcmI5v7qC4IUlauDuvEDWRdltcosVa/PInDb6WUxpjLDSeTEWHYZbmJRWthrO8A+3s 3M1isO+RvsIJdR7uPGItsfR+aqiiukdgwP7tRd8ZHbFIIp6MD6SM9uMnwqlYfMRoCtTzT6CnQlhH /ZT2q9/vmJz3yCGASRT9A05qwzeB/g4jplfyViKwm6mSUAEqaYxgSKWAVibrvOk8Hwv6TrX65S5W SM2gN8kMli6hB1txN7zijUM5PugIpwa7x4/R55CD/u+7LP3zkdxDMXYJu6S/4KZSMZZ6fMtgBAgj 3bHhaNLojI4aXfHh8IgFIx+XDBQojKg9/qOFutaOL8OFLMZbPGe3wnIz1RhoaqbCZhq0RsbT+rUm jkIZX3S+y+MmQ43QH9AtI0zr++usPQpkrHp01lh7CEzwzVYACTTB3098eNyMwJXPuZKj8e6VUfk9 Wf92KTzzTxkv65qmezxavv90P/hPJ0EvZKD5Tx8GURECNtVM40w10iBnDoKONwtM6MJMvFnIBqqZ sNYAm8Tv3sk9/CkGs2awM/6dIscw5aRsOftAr+TDU+OYWB6bakgvCZ+TuMjJCPogehQ9gX5Ujktt AVluQ4/Jdsof4vngYW+1zkM+zbV0PekpGxd3wZREnWyJTabEGmsyuoe9WotNWWX3et/bRYcb7fdx PPR6p8pJ49riw8fCkVRsIObl9eDabtCdMBQZHA0nJhyq9mS5rI0mjhoOgalDel01R11ExBHnt1xd GyIKpS9vE+0KlbN+icqoyggUmXEcdLySr/EMFf/go3hPOu7xmduvO7/2mPu7meY1x9N6DxOxJuTY bvr9/LZ0xbOqPBqv2bBrBNVmoznW91LQMd3A38NjKr6z1xr/tcMany3hcUrFeQU8nhDxT3lX3LSi CRl79dX0fzfq/5N4RHvT+v9mDvS/19W7qv4bqP9FruX1v4j93/pvviOoPfz8AfR/ubuQQv3rS/T/ 9wNW/T9v0/8Rm/63LNF/ZtP/G7VW/a9O678HBINbdtL3XlssERmS7APXp5y/RkzF2w06wFBgWdYz xfpSG+s/eWhZb2HtA/F/7axf+TYadLxoY/1VG+t/eUDWv8bjrgk3/AceqGG9AAAAAAAAAAAAABoA AHic7VjNTxNBFH8ziwhbDGU1guhhTYzBAwQkMfFiNIqJiVQCJJ6rabXGtkCLsB5M0Yvx5NfFi4kH P+IN/wISotGLcvDiDSPxglFMPPnR+t7sTFk2KZ2aRbD2NY+dr31vPt7vN2+Ze9My/2C6/T345BAY kC80Qr2njXkHhAE2ybZ8oVBQ/YWa/FMyCGn8ZcGGPkjhcwwcfyisKtsxCpQtjnX+mov2Gbf7uHfs yJ2H99/NvmSbsZwzVEydgosQq8inV0zgzLsenXe2oG4D5f8orj8JIziPM3ChYv8W+qe4p+Xo+m9A jctyH4zCOERx5xM4jxSeQ0TWLmntio3+62AZdzr+TdQDskz4/uWLibzUEKzEcz7w6KvJekuQ+CcM rIb/pT31HYR/ir+g8c9BH38B438FRvTmHCz+vfeujv8mWMa/eo84hHjAj3HFBY1Qu9urUXTipYxU fP9SPL1l5cfpSsDr+a/80zEQdxIdEwdQTk85AeVoCveKA5TU8oDqES7v3wG8+WOQgW7x05e2P7j/ SGr43xj+6R2FfZVHcNn3GBtOY+U2oz5kAuMVEFvsEr3EFI1cldwsRPxHgNM0qNTF2mRbqDiuids8 xyws7a1vhnaZs4WxPoOlR6iH0dAL1JAc0wT90ez5YWcE06EB4fsHt+U6b4ooquMQHk4kYxk7Epuw B9PJaAqePP0yMY1qd3+deG7HLVpfJ3O/vfab8+yTWG2P49rL5ZU9VpE9JvZtqWg3x04Ku5OOKWdv ihW6we76ssRYOfcc45wPOZlsLAkW2aXscDfcKKJj7sNWUHN3fTEwSpxl5EjkBD0vp/S96/IEnYa6 B2r8Xz1SjD7nczjueKOPieizwB/p5aKvsvhjGFWGKXnH9+3Yin/6E2fH0pl0PGv3jY5Hs4l0yu7t 6hafMMeGim2CLFSlqxe+HXw2umJy/OoV1A7gUzHUlHyOAadZcfg+2y4HLt1qhYW6HaJsMGaYJrOu TYLRzCDE+PUegBZhT72Py+ANJXZER6bOoR0HdR/6QNJrYXyqE6s9vj1dK6F9r3b+h53xxSD5f9le oPy/SHb9/L/wcW35/y/hr6R/P/4a7rXC3Z9l8beh8F/iOLRkvfH/GyL1kTsAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGgAAeJztV81PU0EQn91XkL4i Hw0flRjzvBgjkWDxgiFEgpB4oBDKSS4U+hpraB/QImm8tB48eNHwF6AxntV48OAB4wFOys2jEAkn EzUx8aC2zry3W5pC4bVUEdJppm923+7O7Oz8ZvatvW9cf/S8bQPyqBcUSGecUJ3Tx5C5bDQAOERf OpPJUJeCnKnQkaJRMPAXBw0GIIrPOUjkh8Ke1AJV2TOn8+fvrAhZtl4P5o5d7r7Rc6Z6hanUcMiY GoY5ADIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAABgACAVoAAABeAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAN0FAACEAwAAAAAAADkAMwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIB////////////////AAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAA7AUAAHACAAAAAAAAOQA0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgFdAAAAXwAAAP////8AAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD2BQAAiQIAAAAAAAA5ADUAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgACAf// /////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEGAAAHAwAAAAAA AGnQi9KZSypwRrq5iD07c04iN4HU34/7j8AM2jEJt4rW70ZE5PrTzhwXckjIAzAL8xBAz4fRjiie g0+0btvyiob7JwwWo78Otg/mBPLvArGRzmEnVLB9HKmc+CcM7oX/Z6v+QcI/1ZSkYvWVC/+S7Mwp M/5N/MnaZ2cOYamc+HdAcfin/CMPRs6rAisPSLy7YCfe038h/ip0uCTvdBS/FEcUB4RPqgs1YN3t VPGsFc9KHBwf4iL/jmDm1yEGnebPPnlKuP8Q9fL9x9ilUvSXk46yfpojsS/vkfJoTmEyuIONX4ze YdVS0kDZ4rT5ljKFk0vJqoIkMU5mkNTBPKLPlR1Xy6/yJYcbpXPV9dAmaiZ+TMIySk+RJ9CULWZV KRpTC0OB+M2xxAyWwwlT90+uiX0+JKXg4NAwFo7oMc2nL2ijRiQQhVdPviy8QdY6vy0YTaFx2t9F ZuU0r7rOPis01ZuQ7Y+c2sGEtX4yXdr6zPTjV2bVeK+aZFfMzNoX9Ou7WM5pZX8iMmlMA4zXqR9e brgLWm6tzLI7mDB30B5UhZ9U05emwcJLbnOs0JVknHN/IhbXIzBO69Ld6Wyx4bIbFX3/ovpRwf// od9elbAot/7XC7lCR5vumwmD/ja33JCfxZQCUePr812X8o7ssnipJbRoZZft1dc+lbL6/tmNYRQq qqhbed+erfg3FJ6aM2JGKK4NzM4H4mEjqnV1dAKF8jV/ts8sNrLR0QXfu1/M5lqU0oGn8FMr1Y9s CJ5DDqJFvMYW0nYn2guHy28viHbDDw/0PPaYssKYoqqMp/pIE7IflHoGLma27rVjjxegEUfePY/y iLArjBxFnkIOCDsL2k9+O+71v6415Pyb9X97/YPU/+Fm1bm66S5oeRnrv5PWLQ9C/w3+Cu8uHz9L K83w+kGLKdvHz8HwX8BJtuiw8f8Hk1OvmwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASAAB4nO1YT2sTURCfeVuj2VZsF9FQKqyXggdD sF4UkYpGEGyUtvcaZYMpJps0qTFVIeDNk1/Ag+IX0JPHigdv6kdQEK9W8SAUd515f8IStOxKoKTs L8zuvLez7zfv7ZuZ3Xz8MPXp2cvpzzCA82BBEGYhE+lDEmEakwD7dF8QhiF3WSRhipHCb5Jgt51I sWtYBJ9+bXChCHU6r0F3MBXsiCOUBaLjxbkniGkXF0n5h41R5h/m8+faIN6rCrGpLl+O2jZWft07 lnmHXFN6upAgXIM74CV1uw8bBCadf5bkMBj+izT/GjTIj5uwmpjfIX6ugab2xblnP0lF60LP/zqt vActKMhffOT0/McS8LO/D1DpZt34flMLWNjHtC7sfRShCetQpsivUhzUKQ+UdOturKh0aQdHx4u7 b0/ENYyB/+EfJkaZn2OcUzHnL84B/E6f0f0H9DnNA3sXM8A16PTbg3o/bP3IwbnnOalbiJZto/No Y+e9Z/YO6rb5RryBSs4iX6Oqaz2VbDPyKu+0rDCaqqLyi1LQEFLLY073jfftJsQ8zqND2mzmEEzr mkcfo7BJ2iwoNyok49pmAhbK7dvL3YbH2Yq5t0UvUB4+kaxjAiaXqzWv5Za8jrvo18p1eP3iW+cN iVv43rk/VXnI8ztJxhwTp2zAq3K2G11bs9jSE1VUFYcjbZmDDj0UQix1W22vBsDj8ZvLcXiMZg2/ fHVAcaA8b6GKyb+hdKF0xehIEWrZet0H3r2O0mGhemvNb/mVtltsrpfbVb/uzuULtCgAl5b6fXKx TCM/Bz/PvGr++5lHgZG/BFKMHv4AuryTawAAAAAAAAAAAAAAAAAAAAAAEgAAeJztWM1rE0EUfzNb U7MtGIPaUCqsF2+GaHvRgyAaIUKjpL3bKBuMmGzSbI0BD+1VPPgXiILe1ZN4igoKHrR/guLBox94 EMRd35uPuITWzmqgpOS3vOybz/dm5n3sZP3d3vf3H09/gD6cBAuCMAmJSB1D4rqQAtil6oIwDP7/ //8CBgAAAwYAAAQGAAAFBgAABgYAAAcGAAAIBgAACQYAAAoGAAALBgAADAYAAA0GAAD+////DwYA ABAGAAARBgAAEgYAABMGAAAUBgAAFQYAABYGAAAXBgAAGAYAABkGAAAaBgAAGwYAABwGAAD+//// HgYAAB8GAAAgBgAAIQYAACIGAAAjBgAAJAYAACUGAAAmBgAAJwYAACgGAAApBgAA/v///ysGAAAs BgAALQYAAC4GAAAvBgAAMAYAADEGAAAyBgAAMwYAADQGAAD+////NgYAADcGAAA4BgAAOQYAADoG AAA7BgAAPAYAAD0GAAA+BgAAPwYAAEAGAABBBgAA/v///0MGAABEBgAARQYAAEYGAABHBgAASAYA AEkGAABKBgAASwYAAEwGAABNBgAATgYAAE8GAABQBgAAUQYAAFIGAABTBgAAVAYAAFUGAABWBgAA VwYAAFgGAABZBgAAWgYAAFsGAABcBgAAXQYAAF4GAABfBgAAYAYAAGEGAABiBgAAYwYAAP7///9l BgAAZgYAAGcGAABoBgAAaQYAAGoGAABrBgAAbAYAAG0GAABuBgAAbwYAAHAGAABxBgAA/v///3MG AAB0BgAAdQYAAHYGAAB3BgAAeAYAAHkGAAB6BgAAewYAAHwGAAB9BgAA/v///38GAACABgAAqcpC CkcYKvxCCrZbiRG2DSXw8PHBgTzU8b0Mnf5Q8FccwCgQnc9kTGDYzxRx5Q8awyx/kOdPuYG/lRmi K5vPRvs2Lv64cTDxmlFO6apEwuA8XAM3rto92MBZ3PXbSPtAyz+N669BA/W4BFdjy0+jfMqBOveZ jNmNVFE8V+u/gDvvQgty4jFHRq1/LIZ80vc2k7zeNxqvcwHROEg/HWFnIw9NWIEyen4V/aCOcaCo SteNvNJBC47OZ2q3R007GuBf5A8SwyyffJxCMcUvigH0TU/xWft/Ur1HsWBnYgYoB8293K/s4dGL DNz8lhG8xZhl24yvFYCvlZCcjW1P2w5TZX1HvIvMG6w8x6gNLcl6KKTNiFaytCTXnMyi4kbJcQrB ZVlG1U30+k3ye2yJp5E7nNgD0yrn4WUUusi9QnKwbwUnm1B9JmG+7F9Z7DRcilYk+ydfDaSGd0QW HOOQWqzW3JZTdNtOyauV6/D0wef2cyQn97Wdmqp8ovUdYTJ3H7OX2DOhr9PR5RPiZlwo2UqqLTST SVbKTIuxSuYq45wvdFq+W0PtcX76KjkEt5je0/WPaZAymXh/YdJHN0LxVLGwSdOWYOjdlq3Ore/b bQp/5quXl72WV/GdfHOl7Fe9ujObzeGmApxZ6NWJzdaF7Cx8P/6kGZWy+XmyyF8KfzA6T8Pj+2/8 BkeNzYoAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAABoAAHic7VjNaxNREJ/3NsZmEzAGTUKpsF7EiyG2XrxIReMXNEq/vJpKUiMm23zUkFt78SAe 9B8oCHq3nsRTi9CjevAPqCJ4EhUUBDHrzNt96XaJYZOuQtP9hem+79k3b34zb/v2zcHNx6vD78GB M6BAywhB0NbGULisRAH2WW0twzCoSUExfOwqTIKOvzpokIEyPqvQdLpCV8TRC+RaAfKP16aHrJnd F+xj04kPbOXHBgtKZxH+cxXuQL4nnXaowBnp5pbvuZkTRjkEUv853H8JFvA95uB2z/pjyAi7Pd3O K/Ss6a9gveonvj5gZjmE8ruDX6hg2rNlEx+DBy/5Txzsxv9n6xcV4v9+qnjMfwk3czzmPyMqydzn Zg7tX/I/AxVYhBxavojvUcZzyFq1u66soqH+AGzlXTf6ifMnrbKcR2tQHLBzPQzb87kfAwYP3OLf NWR+HmqQFj/3SPaZ/2T+8QL96PcSu1m/vNNT/KIYQHd6up8R14esp+S9z//BA8MTVlTTh5y5O4F/ Joo3q3pNL9S1TGUxVy/qZW0slYYIdp2fareJlCorqTH4fvp5xb3vSt9jVl1+Y1aw4zM2XmHUh1lL eSq8dUT0kqeGuCyZWVh8kXJcQpRSLGm1hdvjInyNaUoMS8eCB2DYytlR2jWWNlA2cew9Zt4SaEwE JnL1W9PNBUzHaaH7F19qmW/4UESxAIfodLGUr2nZfEOb1Eu5Mrx48qWxjqKlvzUiRwqrtL8TOJo4 NareYHOcpmpNWR8XLJyZVS2tKpinQzB1xsRcS+cS45xPNWv1fAn3hOvTTego3GfSppc+xcDUycTz K2tfufac/Y144ee/tD+t77T/qY/u7E/Ins1eNku9698pf+X/b7rBj/+DCy++P2TcILiYsu37wwvY 9+PhsntG/1b86d7WCRSbOFx/ddiqH1+Jw7tHSVFWGFNUlfHlGeDLsygaNlbxmUeZRymi6ChlMbyv +wP6Hh9yN9RHB+z0/uY8//HRBIy8jIvy/zp/97v14cQfl41GzQAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAB4nO0XS0wTQfTNbIt2W6St CkgwWS8GJRAEL2qCEMDEA0goJ08U2sYa2oVSJI2JAQ+aeDAGj3rQxHg0kXjwiDFGD0a5iN7ESDiZ qIk3tfW9ndmylE+3TRMF+5rXnTef92bmfWfhrW/p/uO6T5AD7aBAOuOCCksfQ+Qm4QVwOQA2AAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAYAAgFQAAAAcAAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAOBgAA tAMAAAAAAAA5ADcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAABgACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAB0GAAA9AwAAAAAAADkAOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGAAIBYQAAAGMAAAD/////AAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAKgYAAIgCAAAAAAAAOQA5AAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAYAAgH///////////// //8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA1BgAABwMAAAAAAADIvnQmk6Eu BTFThm0FA6DjLwka9EAcvwlI5ZrCllANzqzOyTb4G2Eh82L4jHXuAgtdOVjxkrmw3eEwbeocjEK4 IJlWUIEz63nsrKlE3Aem/C48fwzGcB/DcLFg+X6UTz5g2r6dNW7EiGz3wDhMQhBvPor7iKMe+iR1 ydataCjfAat+Z0f+HsQ7sr0L8fcmtpGW6Jb8K+U3XWIbLMPfg1L6P9nhVv7vvflomvxfJaLE/s/B vv+V2P/X5Dw7a0rs/wXLJ/83FWOuc4KIA2kLWqECyrl9J4JZ01H+IpckOyBdU17YDaK2M8EjacKq nLEybE/gMv72Y+QPwwS0GD/7UFtE/UPQzvPPsQvW85SO6/8h/wYpz3jFLa/4jQjQhPqk7zcmtLoR 9HX2nTXbt2jxNOOcB1ITyXAMZo9VR2YpMx+ycF/4XAz3xhDVCocrqpAbnc5gB/WIP7nfiE8Mo5Ci ijvIrT1q8K83OpLQJ/RIUusZnwwmo3pca2tuAQpl3YFsn5GSTaK5DX6cmBu37mgmDHwGU+1MF6Iu MYEYYpYncTFAZ+Fw/PlRSY+92A+v31UbbYUxRVUZn+kkSYgBUKoYuJlBXWvEnlYAH8682oDtfrmv KGIccQQxKPe56f5L4P9F2d/dsv//E/Lz5X96q5MPUq7Pzf9eKNcAOwFM3TNpS6ZrftgLcBmJ85zG 0BKUJiPc1RujZCkubrZEFUAtxpGF0WpmtbLPnZ3n4R0c/H4QUb1O1gxkSfPYeog4jwFthYlXEs3x QG8weWEwNYbPoSEZ+6fTYodG7gEHB+9gNBae0PrCU9qAHgvG4emDr1PPELWW71OUj0TuETbdqk6z Uz5aeiTlkfRtlay8S9cToWg8mAyb806rNE9LuSXtc9JIvx6NjwQT2VnXHTSrQXdJ+qThT52hQFzs V8sUt9/VXCkkLbEvCrFoDZn0R050KLSBHE5yAqnYsD6Kt1mtdjz55F8nZyv9H3AK/f9ipv7TUAr9 33Nspf8hR379F3afczWRxbX6z95jKuceU8XY1yr/VX2ts4RwPg2996vdr5b9m+5ccGbZEwwZJ8hf IW1QoS0SX1Gh/QHqwjRiAAAAAAAAAAAAAAAAABoAAHic7VfdSxRRFD/3jp+jpi6RixhML6IPih9B FBH2YRTkJipBEOIWs7bRzuruqq2WaD3Vk/9AYNE/UC/1aBT0Vv4JBdFrWoJBtNs5995Z1qnV2c2y XeY3nLnf99x755zzu7P6rvH9o6fNH8CBE6BBKl0NFVl1LLtDA0C1qkul02m7Pe2hqDAEUXwSYEA/ WJjGIOk0hW1xAMoz31zDMn/LRf2KbD6b3Xfs8pFbByveMJ3aNdumLsJNMPPSmQ0dOCPdXNmemzH7 UPaDrf807j8CE7iOq3Ajb/0+4Fts3u24kEq52v8gnrwJcegSj3v4cf/kd2Xgfv90VreVM1eh/NjG PlJKakD6uYfSwr/0/9VL/gnP/yX+F/+3150rDnj+X9roh0mYgiB6fhj9wMI4EFClaVdeaRRo/6Nu O7pAIfp3E8Ws376/UzimGFKOQnf+SpB3A7rjU7y2/b9OpV4sKA20APHB4VenlD20rfvh9ZJf5DXG NF1nvnuzwO/Oo7QBXzRRLJXGUMZRkijtoNWjmTQyvtiBxe48bNe2Pfv/kau2UTS+OSw0cGrDglbF aLUtopUstZrbOcmClGMcpxC5TuZXdTWZfrW8jy9U+TDXWlEPzYoz8WcWVjD3HKUPzX6TSYunPrUw EExcH0lOYDgcFLq/c0P52ZJg0TIODSPhiBk3AuaMMRSNBC148eTzzEsUo2t9ZroppNH+Opj0qR59 A+5X0pI6uuV8C6nC5mPi3NbUanv0ZfaNk+ealhkbT7YrbcsswWniNssunxOnNW85tbM8dyO1s4ye C+Ibzlq6OjtdnK+8akhdPtFX7XSBcc6Hk/GEGQGN5qVYcwgeiAH0uvLVB86dajksKXAycH5ne3OC YTTTdGV3jrtrE74Gwtdi0Xg0lDD6J6eCiXDUMno7u9AoAM4MZ+rE8duFzl7YOPps0q1+4Dv3+nvY C/6nw2v/s2VvQb76dxvFrH87/v8dx6ccqYfixl7HP9Kbi//HmJRjzOb/h7AL/M/6WC7+b1UuEcrB /wYUwphzjaE7W/kfbKZMFsCUQPNlMyWN/Pgpf6b0+F+uiu6/daq89sUPxx//cv/FT1+a/P8TFEJW TgAAAAASAAB4nO1YzWsTQRR/M1tTsy0Yg9pQKqwI3gyx9aIHQTRChEbZ9g9o1A1GTDZptoaAh/Yq HvwLREHv6kl6igoKHrR/guLBox94E3d9bz5iCFVnJdKm5Le87JvP92b2fcxk4+3ed/cfT7+HPpwC C8IoCYmeOobEdSEFsEvVhVEUUZWFFI0wVPiBFG61EiNsGVzw8QnAgTzU8L0M7f5Q8EccwCjQO5/J mNCwnyniyh80hln+IL8/5Qb+RmaIjmw+19u3vu5eOZh4xSindFQiYXABroMXV+0ubOAs7vptpH2g 5Z/B9Vehjnpcgmux5adRPuVAnftMxuxGKiueq/VfxJ33oAk58Zgjo9Y/FkM+6XubSV7vG43XuYBo HKSfjrCzkYcGrEAJPb+CflDDOFBUpRtGXumgBffOZ2q3x0w7GuBf5A8SwyyffJxCMcUvigF0pqf4 rP0/qd6jWLAzMQOUg46/2K/s4dHzDNz8mhG8xZhl24yvFYCvuUjO5ranbYepsr4j3kXmNVaeZ9SG lmQ9FNJmRCtZWpJrTmZRcaPkOIXgsiyj6ia6/Sb5PbbE08gdSeyBaZXz8DIKHeReIjnYt4yTTag+ kzBfCq4utuseRSuS/Z2vhlLDOyILjnFILVaqXtMpei3H9aulGjx98Kn1DMnJfWmlpsofaX1Hmczd s/YSWxf6Om1dPiluxgXXVlJtoZlMslJmWoxVMlcZ53yh3Qy8KmqP89Op5BDcYnpPNz6kQcpk4v2Z SR/dDMXTxcJvmv4Kht5t2eq79Z3dpvBnvnJ52W/65cDJN1ZKQcWvOXPZHG4qwNmFbp3YbF3IzsG3 E08apvJ//aWwLZA4jNawzXT6j/gJS1qX7wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABoAAHic7VjNaxNREJ/3NsZmEzAGTUKpsF7EiyG2XrxI ReMXNEq/vJpKUiMm23zUkFt78SAe9B8oCHq3nsRTi9CjevAPqCJ4EhUUBDHrzNt96XaJYZOuQtP9 hem+79k3b34zb/v2zcHNx6vD78GBM6BAywhB0NbGULisRAH2WW0twzCoSUExfOwqTIKOvzpokIEy PqvQdLpCV8TRC+RaAfKP16aHrJndF+xj04kPbOXHBgtKZxH+cxXuQL4nnXaowBnp5pbvuZkTRjkE Uv853H8JFvA95uB2z/pjyAi7Pd3OK/Ss6a9gveonvj5gZjmE8ruDX6hg2rNlEx+DBy/5Txzsxv9n 6xcV4v9+qnjMfwk3czzmPyMqydznZg7tX/I/AxVYhBxavojvUcZzyFq1u66soqH+AGzlXTf6ifMn rbKcR2tQHLBzPQzb87kfAwYP3OLfNWR+HmqQFj/3SPaZ/2T+8QL96PcSu1m/vNNT/KIYQHd6up8R 14esp+S9z//BA8MTVlTTh5y5O4F/Joo3q3pNL9S1TGUxVy/qZW0slYYIdp2fareJlCorqTH4fvp5 xb3vSt9jVl1+Y1aw4zM2XmHUh1lLeSq8dUT0kqeGuCyZWVh8kXJcQpRSLGm1hdvjInyNaUoMS8eC B2DYytlR2jWWNlA2cew9Zt4SaEwEJnL1W9PNBUzHaaH7F19qmW/4UESxAIfodLGUr2nZfEOb1Eu5 Mrx48qWxjqKlvzUiRwqrtL8TOJo4NareYHOcpmpNWR8XLJyZVS2tKpinQzB1xsRcS+cS45xPNWv1 fAn3hOvTTego3GfSppc+xcDUycTzK2tfufac/Y144ee/tD+t77T/qY/u7E/Ins1eNku9698pf+X/ b7rBj/+DCy++P2TcILiYsu37wwvY9+PhsntG/1b86d7WCRSbOFx/ddiqH1+Jw7tHSVFWGFNUlfHl GeDLsygaNlbxmUeZRymi6ChlMbyv+wP6Hh9yN9RHB+z0/uY8//HRBIy8jIvy/zp/97v14cQfl41G zQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAoAAB4nO1ZC2xT1xk+91yb5F47dmyHkOZpEggmdkIeZIGObg6PNqOQsQTEmLZ2gTjMxYmJbUai JhUhIo1SrV1VVVXHRHGqMEorFdAypg6hbFQTnVag6tZCtVVhRC2jq3i0rIyUeP9/H+Zc11AHRUC2 nOjzPd//n+d///88bk6esAyHD2SeITHpW4QnYxGBTGNkHFsglRC9IhuLRCKqPjKVJlWqI374CxE7 WUZa4Bkg7bGucMuUDl6gtkWB0+NUkg/J6gfZssPOtmfPHT3GpUDebVZ96rvERzzj6pNNIqEcO59E 6mD/aUTtfwnMv5lshnGsJ4+Nu38r9I9+zxPZ9xOp4wA0KfllpJVsIQ1geS+MowXeQ63CfpqQVezQ v47ciLtE+i8C9OrkPMb39RifGFMQm4xECntiAuDrMwAskg3kNWAqTb50J+P/4s7hZzD+kyG/TS/L JiD+NXtOInXudvxjmsD4H/f88Q2p8a/WQ4rrABvHmBeJHNsCmdrb/xdTojEAMAAwAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAIBYgAA AGYAAAD/////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQgYAAEEIAAAAAAAA MQAwADEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAgAAgH///////////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AABkBgAASgMAAAAAAAAxADAAMgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAACAACAWUAAABnAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAHIGAAD2AgAAAAAAADEAMAAzAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAIB////////////////AAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAfgYAAOECAAAAAAAA/nqLNO79F/1ptzABPStp gufzf9U/rl24HuD6hWsALst4JkgC4DqNrwnXANzrcf/HvR/fH+7/eBZQ938bkdfU6QT3BEJmADIA 9wEyAVmAbEAOIBeQR3DtImQmIB9QAJgFmA0oBMxR+pmrPJ3wdAGKASWAeYBSQBmgHFABmA+oBHwD UAVYAFgIuB/wTcAiMnVOiU1U2X9Xwc7vIUGwaalk10RTxm3sP5im4v/e6F+9v09k/E/F2ORJHLwt XpR9KPbsjmv4Su+GgD/obwrZl7VuaQh5/S32ipJSyRWW1kdlknuopKSCfL7wYCvrZQapYfQtI3Xb SBV6TOE0M+wMuCdQcu2oTzmPtr2eQTqenSHleY7jRVHHcVyKtbuRWLuDhDdTYuJoVzWhXY2AegAc gbsWA2rAm2kvbgYptOcBwoOrctbuOqgDbmtRVXJLAa2UpHBfkUHJJkK3O6TSdDtuRLTHqTYbr4GY rnAcUJ32WPNjm5IHEYrpEJuXNW3qRHvL2El9VV1+a3UFo4Zu6XaXYq8o7hX73Nwe8Sx35+yTEMj4 vr9MdGLjedyVE5qfyKXcjl0mO9D5rN2y81m7wT96GvLR5dBlFT+H/ZMmj9voN1Ig6oulki/iGTY2 2iQZeqhLehNftxbi0w/wAbyAkMJb4q2P9V5cgUfp0HV5PD+XvmboKEld7W32BO21nq32On9zQwvZ u+/C1gMAe+mlrZWWpkdxwS6G0vi8yFHptFAuNqSanLjYN7ap3Fao5RkztXx9HvYYiPLeHORNUe7N kMqHZO6xHrKhvk7hLvOIxANR/YhZy0WT1F6UDxpYvcv8kElqP6Dyy5K+LqD2XyXdjxqDMl9q/EGR VF/hBkHlgsTd4mf5aJEmR2CuXCLM/8XBzjjMny7Q8g9ztdyZyc44zG/JYEcc5nemszMa0HdaWIv4 6D4LW35Avy9Fy08atPUfF1i9j6YYWYv46G8F1iJhXrVIrOfAD0XPqW9vXu/3EdInist/fcZ2E8+h iudwUc/ZMRebcAZV3jdLy5/L0nLnDOTFUf6lRau/Lo37AYW7xTccbHm3WF6I/I2gOq+H57D1w/yq fC1fk6Pll9LY9sL8H8xa/dEkuX88P+NpRyTyiQuTbDsrSb5hu20cpbS+PRjyNJNH0U548p5J+qQK +HPyrI3ERh1P4qfa6trvSJmviX8ckXr2V/9/R5U2+uHCvAAO9I8IqIMf/nUdfinIlrR4mhOi5zr5 K6j0H0GK2xDmSrgMRXbz85+8Z+FNYghyhwFDcH3/0irfOLCMkaxsCP1kdftmD5hIh/a6RglR11zZ HnLbadTCNwqYs0Fuk1mVrbaoslGbLNsvLCmSZfsFn0uWvWPeZZBl75gHLKrsaZsqq0yP4+/jWikF xS+TKtHidrvdY1QkG+eJskRJqgdXlqDh5rpU/n07p+H9ucgdUb4pneUe6wepbHmPdZaZ1bvFF13I XVH+lBQBZVFOpAiwu4wK/3G2dpyqfCg9vtxuiS/fZogvH9bHl7uJVi4oEfZ2udaSYb64OJ4lw/yo k7VkmN90H6fhgzNYy4T5sjSWD+h3m9jyA/rzRlnPyZ/PbjvJPrVt7PZ8KnYNHTQ/jMFAypVxLrLk SrzCpepXObT6eRo+aF5ToNWLBaxHDJofyWT1GyxV01leZLqaptW/ZdTqH0/V8kCKtv91VOYGpf9k PX6JqPf7vCF/i04d1ZBO8ku/oPAFFP2gurHeK5dYbGhxYon5jTIXkrV8pxCRdu1ShV+hFklfrvAO 3Yikr4jq0wu1+iuzWX6FZs3U6k9KkVoW1duzWf3LuutWlj/GHbFq9c+IWn21ScsXGLT9K3aL9p+p R7dcXKNyxWI1gsJVi92Z+/9HZ8p073d32z1vbpq/c+V6YWlwaWT6j3oWPbF86v5/d+//U/e/WyCB +9/dvr/dK/492b/f7Bk5dbb/0t8+bMt481TfQ2tnH3YX3Z/+Eqk59Oo/r7z9EW1b8cInvxG+WDv9 wLnSqyUjKzpy/r7komdz+ueHXtvxceSFsZK/7j3yvC/IHb58/kSH+ZVv//6LghPnP75Q+9alNYV/ fPKXEfJ01vLIxiWtu7KPXM5tu7Y3+0JeeUvq6VP979tenr329JzPOv907N8rhvOqnuj9hdv83kH3 uX91vdSZt+fPjh2fJP3jRMPGT/ccCIx6nB3/OfvuqLihb9/BaRfeXbhqkfF42djhrN1C5tXn5h9b Nzy4bOR7fabNne91/TApp9Wxa2PkZxGuNn/Fr44lOX73ir22elbjpzs+6Fw3r/R4u/35mp7+/f8F /bHAZQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAaAAB4nO1YTUwTQRR+MwtIF5C2GqmIcb0YPUCqmBAPmhjFxAPVADc5WE2rNbaF tljXGNPqxWhI1LMHvRjjxUBijLcmXPSCHIxHo8F49C+cNFDf250p65qWXVJ+hH7N7Lz5e29+3s9M p9/6Pj4eb/8ENhwBBeaLHmiw1DFrBy9Ao6ibLxaLsr1Yw3+FfkjiLwMa9EIC8xTodlWoiG1QXzpz jmU+xY36gtl8wtpXO/zyxYfJ10xFOqdInToFlyHiSqYVKnBmXY+TMS2YtoKUfwzXH4dhnMc5uORa vh/lk97TcpzKJ7uJCroXRmAUwrjzMZxHAs8hJEpXHO2KhvLrYMHunMin/e8RtAfTXAX9mBepCUw7 r2F9YSXt/+zd9xNk/xRTqmj/f8UcJ2NW2/4JVbR/1+unE5L2L8eRDyE/IO19E9TsfSPAqb5WgOv4 S3r1ji3ezymqvJ4NJV/e393Yes0vrB8wPH1FNXXIHrvb8NMXO59KppPRjNY7MhrOxJIJrbsrCM3Y dHygVAd0PZSFrm6YPTQxYtWyJoNxPaZmXuDA/UjtaWiFdugAike/JneInlefB+Dhz4BBK4wpqspa /LdSoLQy2Mz47SCAj1TW7H3P8CJ1HLyDsXgkrYUiWa0/GQ8n4Omzb9lxTFrwR3aqPjpE8a2TmXfv A+oZPmtoflAn+b95YU7yY674MaD8e4lvjvUYfFO6KlaogrnLBFOW3+gr5p5jnPMBPZ2JxGGI+NKN ZjfcKXnHz1+2gJy7KYuBUsaWQ0dDJym/lliCdP2rN6pbpdNnesYP9pUuJt2d/JXRP+A3b2DaCzwf wZQQeQq4Xf+0ndvh+v02g66gf6XxuAzeWGZHnCB/AfnomPahCDQUH+P5Tizut+3pcoGOgXadTpVO mGyU7ufy/ueBf+NDzf+vH3Dx/jqNL78IpCFo/JwjsIT3B6F2/1sb8mmMtH35/y0XbQeRaMTGB4za 0BMob4C8RYfRSp7CU4rr5iuYKMZpGkR1sYCoKx//zTl7sVxA6gmmAjKKYv8m0acZ+sKZi4P6MD6H H4koknMV/1/tio5VM/4v8Ktq/B8jvvb4Pz2zvPF/heJvWflLvP+tqfhf5jgcYbXj/x/GAJLmAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgAAHic 7VjNaxNBFH9vN2nMptYaxdTSw3rxUDAEexA9+IFGEGyUtsceGiXBiEmajxoDPRS8iQf9AwQ9Kd5a 9B4oiHioPXoQURSvVhQEtYnv7c4k27WxuyG0JuS3vJ3Z2Zn5zZt5b97srr7e+/7R4vAHsOEkqFCt +aHPUoYkinwYBPCIsmqtVuMilaTWQ0dhArJ0FUGHKGQozUPZbgr/xAHw1tecbUNZMS2kYr4+b607 8/vN0rvll+iXxmLYzyW4AQlXnFZoZJFWfZy0CZDsB8l/lvRPwyyN4wpcd80fBAXZB6TtO22XFGkU cjAHcZr5FI0jQ+sQE083Hc2K3oL+vEKjIu8jWW9iG1UhAaFbta2W18P/gO30/8i3Z8/Z/42Y0j7/ R6s+TtrstP+z/m30f/RAI+464d8FDf+X7bxg7gPS5zXYGMt7vt+dkGc6tl+2I7YDXmufSK3r3rOB 7oMi9t/LtPMnoAAR43KOoRbOH4x5dEGyBVrhbyc6mZ/bSN9H8Sy/8R5TwSuSE8jv6NSuPgDeLUaM t7xT+BWZM6Mg51DhYXAujEOiLFCv1688xAUMUu5w3x4YFjGTPiahQrkXJKepoySaUZrr9MN4vHht qjyb4GjH3L+Uyro5wnsGq0eBwalUOlHQY4mSPpFNxzPw5OmX0iKJHvlaOhVK3mX9jqAZ+45qM3jM 0DZf1gSLZozENEqTI2jUZQ66LaCiKJPlQjGRBuD++ORxCO6gnMPVj/vA5EAjXcP6EecvxM7ELnDK 7ZF2WVUT8247O4XoNp66ms8WssmiHs3NxYupbEYfC0doUgDOTdbLjMmSD+Ex+H58KbeRk3U3x4VN x9UiXJ+/OI6Mbl3NMTrZ/3aaX/6/cRLbe/G/+7Bd+0+z+DFilPxcHhD1bv04CPP3Q0ZeRVQ1DXcH b+frLXYifgz4khfbGT+4P3v8+PTZffyw9Tu94k1OW/tlNPrdfP93M/+bwdn6N7cfO/8acb9NO+dH yy/pHtzjDwmiOhQAAAAAAAAAAAAAABgAAHic7VjNaxNBFH8zm7ZmU2tNpY2laOzBQ8EQrBcFv9AU PDSK9Q9oKgmNNEnTpJaAh+BBwZP/gAcPonhrqAdvgYL0pMWTBxGLxasKXtQ28b3ZmbgJbbNb04aE /S0v83bmzb6Zt+9jJ6vvDn9+uji4BjW4ABqUym7oNPUxs0CBBgAAggYAAIMGAACEBgAAhQYAAIYG AACHBgAAiAYAAIkGAAD+////iwYAAIwGAACNBgAAjgYAAI8GAACQBgAAkQYAAJIGAACTBgAAlAYA AJUGAACWBgAAlwYAAJgGAAD+////mgYAAJsGAACcBgAAnQYAAJ4GAACfBgAAoAYAAKEGAACiBgAA owYAAKQGAAClBgAApgYAAKcGAAD+////qQYAAKoGAACrBgAArAYAAK0GAACuBgAArwYAALAGAACx BgAAsgYAALMGAAC0BgAAtQYAAP7///+3BgAAuAYAALkGAAC6BgAAuwYAALwGAAC9BgAAvgYAAL8G AADABgAAwQYAAMIGAADDBgAAxAYAAMUGAADGBgAA/v///8gGAADJBgAAygYAAMsGAADMBgAAzQYA AM4GAADPBgAA0AYAANEGAADSBgAA0wYAAP7////VBgAA1gYAANcGAADYBgAA2QYAANoGAADbBgAA 3AYAAN0GAADeBgAA3wYAAOAGAADhBgAA/v///+MGAADkBgAA5QYAAOYGAADnBgAA6AYAAOkGAADq BgAA6wYAAOwGAADtBgAA/v///+8GAADwBgAA8QYAAPIGAADzBgAA9AYAAPUGAAD2BgAA9wYAAPgG AAD5BgAA/v////sGAAD8BgAA/QYAAP4GAAD/BgAAAAcAAC+AS/aVyuWyGi87aCnchBReWfBDCJLY zkGu1hV2RD90VN45x3v+lov+ojE8ZpYN3i+8+rS8wsin8lz51HWYgagtnWbowJl5P1bmuJGOgNJ/ BfefgFlcxxTcsa3fi/rJ7zUwfN/KHNp/TPIhSMM8RNDycVxHEt9DWN7dtWQVP+p3wb+4s6L/ANKI 5DuQNk32K0nSoTqWS3vifQ6ajf2M/8mNDwWKf4q/BsZ/lZ9amdPs+Cc0MP5t759Mr+JfzeuC6jxA ULnAI+WcHNB+YNIfyH+pjlA9oPfcJVtFDtoTXObfG5j5o5CBoLisw7eL/EO4x+rLWMVu9DcSrayf 5qjYV+c3WZrhDDLPsfMcozGsmtoToGwxJEYpU7i54owqSBzjtAziAswn+zwVuW6eZ8C9yJ3sPASD smbiYRKKyL1BKuKDxpA8UqYbxiPZ6Vu52SjJke4/vLhprPCxSF8uDr0TucRUagZgukdfWlrrgxcv vy0sIvmDPxaO9sfe0/5OMePb97Q+yQJit89yutSii5UYTmno8ApZqSPPOOcTuUw2mgCg59GXxwl4 xJQNV7/0gaGDifY7M3LqVghfDl+jluYzzLKaLu1e8+00gD/j8dtzqUwqlvWH0vORbDyV9I8GgmgU gKsTlT5hLHUTGIWfZwtps8bt51vxkTqwff6iejJSX8wyWjn+mq1f/X+zU4136n/7Yn/yz/b1Y0j0 /F7ukXKXLg7Axw2f4DXGNF1nB/mDY8Nqxl7Xj/Mu/dfKenX9eH089rCR9YOeV1s/1r/arx+E/83/ duy/FZhxfHDQovgL1SIyCAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGgAAeJztWM1P E0EUfzNbPrqAhUKkEhNXY7gQCUhiwIOJEUxMoBpKuBfThhraAi1CDzREE2M8Ybx6MRw03jDcvJBw 4aT8AR7aSLyCxoNBaX1vZweWlba7UA9AXzPtzOzM+8287+3G56bMm+W2LFjoFiiQy7uh2jTHsHE5 aASoMuZy+XyephRs+QqdKBqGOH6SoMEAxPB3GlJWUyhK59EKJC8X2ccnYSGr4vFd81qtpfdtZm2d 6TblkjZ1HyYg5AjTTCpwRtjcsD07e+qwtYDEv4P3j8IknmMMHjnG96JHmOVpd1/YMVJBYk7xyV9X DEd2Y9s9xC5UEPLMmVqFTh+V0//JpIr5/2pm/EYW/b+GBmX2f0l29pTZ/xnlQJn77Oyph33/H4Ap mIEgSj6C54ihHvzG6LEtqWiI74L9vGsH/xy2UaMv9xEPigNmX6+Dg/m8EgNOH3HD/x6g54cgAV36 xz75jpj/VnjpNXbpKPjlpJOML2t6il8UA6imp/qMYnQxADAANAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAACAWQAAABsAAAA/////wAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIoGAACJAwAAAAAAADEAMAA1AAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAIB ////////////////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAmQYAALADAAAA AAAAMQAwADYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAgAAgFpAAAAawAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAACoBgAAZQMAAAAAAAAxADAANwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAACAf///////////////wAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAALYGAAAHBAAAAAAAAC2I+oBqARkXGoy+x/it0MkmhlpUVGFD1tzd il9DkYfT8UQ8nNQGpmaCyUg8pvV0dukprD+Ac7RP2g4zbFG6tgf5+vHhNKdnaElKHyNru6g/JUtz c9kTWVR/o+TIQu91Mp8xV7e3rp6Dorm92Guv9kCbkXMb6dTYW8KWQbNd4iLL05p6GAomx0dSk5hO F3Xs33x1V5xwUUd1cWgciURDCc0fmtWG49FgDN6935pdxqZ1fZ/duhLeoftdY8InrqsZ9qqGdg6m 5NjjovHc3ngYxNiKR1clvEAqOhafAEi3q+n1zeYCeEyX67YJ91cVsegw+C7kTHwd3UPwZXAW9Les hef/l/4u1ai+lWxzAbzy6s98D6k/wfcjz+rn707J8VUmxoec/wCOG0r/Z0Nxnhy+8h54+qgc7x8y bhDZ2KLXE6MlV9kn833KyPZM4B83foiaQA/WskDo7IGffR+mzCiF6wfiz2Fn7aaxcvtlK3z549P7 CmOKqrIG79M5UDwMzjH+vBugCRr4kzTIWeC1ReRRig5wfdaBXAcdcSieZ/+N/wFOIkynyAcou6kg TkEkZO2F2n1ZLzDOeSCVSIaisEN8yXsuwwsm77r5rRmsOUEpoGv/bf89q3yK55mynn+e+FrPv/HV +fmt+reuc6b/49W/9uy/sPys9t/bfwFe/3Bi/4fZr339/wW86EkHAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAASAAB4nO2Ya0gUURTHz72zTu6m pmuP7b19iZ7blB+iwrSHpkarmUJUWlustLXuqrtpUqApLqWVEhZBFCV9CgN7ECF9MAMRgvJD1Lco sIIislp62k7nztyxTXrMhiCGZ/nt3Dlz5/7vvXvuPTPbcz/hyYUrU57CIFsJAoRkI4hhPoJQ7SQe IIr7QrIsM5eAyKM2ouwbEhruTozasFkuePHjByukgQePZVA5eCv4o03EXSC8PT33hHTW02uR6g+1 jWT9ofz9WW6g99QM0aFeTg+v2/dYTk9wdBGWU6p5IiGQDW5wRtrtATMBJZGO34iMB01/DY6/GEqw HzthT8T6ZtRnOVDLfXruGYMU8TLl48/BmXeCDyTlo98sfPyGCPRZfw8StazNG7tfywUM1sfRvPD/ WxqUwj5w4Mp34Trw4D5g52flulalFSM4vD29cTtXb0Ud9i/6Q2kjWZ+tcbYVs/2L7QHsmV7k/mh+ HN0H/l+bBiwH9XfG8ngoOWOB/iaLUhYIEUwmYq51K0EGwWAQOjs74WRjI5wqLITmxYuV2NNih/BY 1N4RPyCv0bmcsGuYdYWzito05SqLNCPVSmoWVd4oKTahlGzEwn1jB+rF0A7yBLMuwGxxHEzhOQ9f RqEDS13IeSwHsLGxvE4MbHD4d+dVluB2JinaX2l1SO1hk6JqoBCf5yp2+qx2Z4U111vs8MDNi28q biNW6W1F64QiGxvfQqzM1sQS0w5iU0brrjRxFZPSEzWpqhpmpS7TwK9qQindVOnzO4sBWHvsyWUW 1BNt/fY+N4OqQZRjH1HX5K/MvsqeyY5s/gmuUMHE533Qs9ck/Nrg2lXm9XmL/Na00n0Ov8vrsSbZ JJwUgLWbBnzKZGkntiQILrtaGq64HmqzsyGwcSMcstuhKjMTjiYnc/0ffwn8zlYkJkLdggUQSEoC D1KONCL1SCniQxqQY4gf8SKHkSZkP+JG6pBm5ADiQg6xc9TPsvBYlftSGCDfv6OQgs6Uv/XsJxP0 0Mfp58gc0bgjkEECn1YTYjAI1BAvTRRN80ViIDVLKZlqiJZE/GUJkaVY0TgvkBH4GEtIVBQINeje kjVderqya3PWqy/PTkdXtX9OzSvyUOnozJZX23rGtFu35n9ti0uc0ZUxOSYYd/703ZczHvbemuNO qeq+bgaJnoBFNJpOAEZbfsP41tkFZbHnlmy/nPCgIyf1SMH65ku9ucF3L/aWP8p7fqPl+Psv66A9 uf/a0u554nfD9xJpAAAAAAAAAAAAAAAAAAAAAP3///8CAQAAAwEAAAQBAAAGAQAADQEAAAcBAAAI AQAACQEAAAoBAAALAQAADAEAAA8BAAAWAQAAHwEAABABAAARAQAAEgEAABMBAAAUAQAAFQEAABcB AAAiAQAAGAEAABkBAAAaAQAAGwEAABwBAAAdAQAAHgEAACABAAAyAQAAIQEAACMBAAAxAQAAJAEA ACUBAAAmAQAAJwEAACgBAAApAQAAKgEAACsBAAAsAQAALQEAAC4BAAAvAQAAMAEAADMBAAA+AQAA RQEAADQBAAA1AQAANgEAADcBAAA4AQAAOQEAADoBAAA7AQAAPAEAAD0BAAA/AQAASgEAAEABAABB AQAAQgEAAEMBAABEAQAARgEAAFYBAABHAQAASAEAAEkBAABLAQAAVQEAAEwBAABNAQAATgEAAE8B AABQAQAAUQEAAFIBAABTAQAAVAEAAFcBAABhAQAA/v///1gBAABZAQAAWgEAAFsBAABcAQAAXQEA AF4BAABfAQAAYAEAAGIBAAD+////YwEAAGQBAABlAQAA/v////////////////////////////// //////////////////////////////////////////////////////////////////////////// ////////////////////////////////////ABIAAHic7VjNTxNBFP/NLqIUDFAUCHKoFy8iaWhi RBRBoYpCUcDvLwq0UKAtpaVNE5UaozFcNF686smvE168koiJXpCDfwDGizExYkIMidrxze5s09Ro tkpCIH2bX3d2Zva9+Xrv97bzb0sXHk5XvUeGNEJFkhcgP62OERTjoQTYIOuSnHNRpRJ4TtaU/CQk V3sQOVk16UKQrghsaEWA7uOIZ4aCv0o5RYF0fWbeSZrsZ1aytb/Sspbtr+T+C25Q5nSGmNGbnel9 7dbNz5yfXjONU1S9jqETo/BkO+yUWKCwbOdfSNgCw/4hmr8fYzSOPgxnbd9K9gUHGtxn5p0CgleW FTn/47TyHoRh1y7zUinnn5eFfTHed0wvG+sm3je4QGAjdD/NyfqWVoQwATd5vo/8IEBxwCWfoqa8 0kYnOF2f2XO722xHE/Iv9ldS1rJ94eMiYov4JWKAyOlFfBb+v0m2W+Q9Fw/Wn1RDcNC2l1XyPDRd r0D1k3KtrDKmWizMeqMdajHRZilTbtdpLa/wbXYWS3Nz2tkzzg6TZ9H4RvxMFaX0cI+JNmI99Y1m rVprFSetQDFKOotqX5QKqdBKtaxS1hWm+hUpC2yGWam0I78YVZLz6GMUM1R6QUiQovtMZ3nRpwgd 7shQT3zMI6KVsP1dsUk/uauxYJ6Ckh6f3xO2uTwxW1fQ7w7g8dMvsWmCzf41Nlnl3Snmt4vpPlFn WUKxNt66uK4vkTT0saz0MW3dFlN6HzCntortcYscvUWboU7Wui2r1leOPcEURemOhyMeP3YKvSIj 2o4pZvj3/IcyGGPXbTEj9fpNXM2uNnH/2PtILDUayspws6YGtxwOBAhRwh3CFCFECBMYRQbVIvc9 I/eroJ8OX/94MBz0RmytoQl3xBcM2By1dtoUoKU7VadtlvFQ68BS/fPQHwaZISztL4k0UTOxKPFD gkvsQT32ogH7sB+NOIAmNOMg5YQtlA87cRhH0IajOIZ2dBAzdlKedoJy5m704CRO4TTO4CzO4Twu 4CIu4TJ6iT370I8BYk8vBjFETDqMEcrx/MSuQcozQ5TpheluV6KIKct5WyFwBVdxDZNI/Oc/KIvL bt7H+/kA93AvH+RD3MeH+Qgf5X4e4EE+xkN8nId5hE/wKI/xX2ycMCkAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAGgAAeJztWFtIVEEY/meOl3U107XyUtQpKCLMVg0iojLKrmZiBkFFWezSlu6m burSg1YY3YvowYeI6imiwC4USA9CEIJQPkQ9RFBoBV3oJnTf7f/PzNHTlutZ25Bs/+U7Z2bOnPln 5r/Md7bzburjs5eznkCQzAMF/IEEiDO0MWOHFACLbPMHAgH9eSAq/5SUggd/XlChENx4rwZfsCuE lDEQ22tzjnV+h2vtbeLxYmNfu831ZvGLdpZAzxXdp1ZBBTjC0mkUK3BmXI+Zd0j/KND1L8T1V8IO nMdm2Ba2fhvqJ7+n5ZjVn4hwynIhVMFOKMedd+E83GiHYlmrNbUrKuqPgb64M6N/BKJIluMR3/vx Db9EohzfH3Hvi8pQSyTjn/wwZPwvef2Q4t8KkY9/DubjL8Lx/9OZZ/Y958BdzErY+Y/iuEiYqXfu sSDygN8Ao8RB9GwfjhIfwq7kA1bpL9HcPzwlEvzDyPvN5B/6bigasJd5Ma4ngsP+F/rHITiMvWWX 9U+WTDgVk6mVFcYUq5XZ9taDMhJpayrj+3Ox3cr3ZINsRdtzywA65qSlQVN2NuzLzwc3ohZxDHEQ IUbN0/odwboX4UHsRxxH1CMqEE2Ik4hdCBdiN9Vzc6HMVemoUYsddWqpp7LcDecvvKm7jFDt7+oe pTu7iJNMx0nS/S16Ks01z3qGzeTktfU+vV4Eok75bkrcSOQVtJusd4++chuIdR6nxkbGOV/tq/E6 KqGL9BATmQgHtRfo0v0sDYRuJnWLb4TfSfGC4mV0X7v85ZenzZaG1s8FZU43tx+ecO7l+s74VnXd mq8tyWnjby/NTOpJPtPc8WL8/e6bUyvmN7Rfs4Gdn4AZ3MJHA6FlzaFRF6dsqB5xOm/jpdR7bSUF BzasOHmhu7Tn/fPttQ/Knl0/d/TDlyXQOvfb1Vnt0+K45F8lyPwcUAN27WdeMgbJf3T+EQn5l+Nv qPWTr5IpyDfJT4kHEtcjXkD+bjz/k2Q5Wd6jMjxEt71+juuhOQkbd3HK9/QMv5qUWEr3Wj4UnpLA 9ZJgAVRiHIfQSjksQ7Yl9vZL4gW8TbGByLJZ8pstBettWLqBaMTpfGTiXxLqkwQry71by3w7kI6U yFysSj/XcjHEcEgJdQ60THZ26OeAyPc9oCj0ap5Pr4v55/rE+I3+wY3fl+v1c+WENm72L+OyMOf9 t84vhpGsWKXdg77d0/Gy0rWl2lPjcXrVwqqd5V6Xx63m59iBUsGi1dj2P/iPkUf8Df/pGz98/xE2 0RarGygnH3pmX6kCg/RvP+QvHeRnwfyls8scf2Hi+AgpIfkf9PGfwfC/P/Vfc/vXf/wE8+dNzenw aqF5/mzkv0PB/34AeAL/5AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAaAAB4nO1Yz2sTQRR+M5vWZhNsG4tpYw7rRRC0BCOCF0E0BcFGafsP RMlipEnaJjXNLWAPxZP4F9ib9FCol14xADAAOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAACAWoAAABuAAAA/////wAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMcGAAA2AwAAAAAAADEAMAA5AAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAIB//////////// ////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA1AYAAEoDAAAAAAAAMQAxADAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAgAAgFtAAAAbwAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADiBgAA 9gIAAAAAAAAxADEAMQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAACAACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAO4GAADhAgAAAAAAAAsi6KUWrCcRKikehFKV3sTE93Znku1C292wqKn5lmF+vze7 8958b3bjXf/W4krkM9hwDRSo1f3QbWljmLis9AH0iLZavV6nJgVTvYO2whjk8SmCBgnIYT4DZbsp HIrT0NXYcx/Zx7ppIWtm94h1bOz8j48jX98wlfoVaVN3YBLSrnRaoQJnpJsL23My5ySmAZD6b+D7 Z2EK13EPHrrWH0KPsH5Pp/N015oOBHOrn/x1k5nlLky/LPNrlmQFnQMeml0H/wi89H/ywUP9f1Hf Jf/3g/f+L+Fkjsf+z8iVJPc5mUO8Kf0/AdMwCyn88hlcRw73ISlqjxx9FQ31+6Dpm0700/l7RZTl vBOw/xwgyHMgIMbZz4QO2h8yfnOKmi3voL3hxfnDXJ4/Qcv54wWs7+Oh2P9CP+Ocj5cLxXQW5pei +jyxw1l4wmT/9pdTQPxyEVso/4a7rRwgK3k9eYvyc929KIVWY4qJYvrJQwbvATylxopFb/VTWK9a 9bJ9epnQC0fqbQW0Ng5nXkVEffB1GC6sh42ywpiiqiz0eA6UXoBAP+MLcXMYmfDNcS0xPZsqZvI5 IIqUleE47F19Oe1MP74W72l18R6Ai/jrLkZ+aShAzHicY7DF+88mO3qMU7Sz//1t/fKfDvkW+Rnd B+muR/Egcbxf5Ha+7/D/8YHce8nj8h/fDjZcxsozRn1oCcpbw1qiRi9Zip/LkhkFUIlxFGGUhtmg aAs0xgU58DUWApMlIuLO1If1NSytYqqgoFVMATEmCKOp4oOJ8hSGIzHBJZqwc4NLwMehbyKTTRe0 ZLqkjeWzqRy8WNotrWDSYt9LC2F9WXIYnbWX1D0YMNYbL5vyKjUpj7mS1+QmU+5zdtv4inNlFVzz 4DLJtfPvRtU9/7rSj96tqGLfbXd3YsHRzP2ZfCGvFxtcp8WHY63x33ux8E2Rf1BMvcfd/iiu8tL+ mvI8sL8/tP8H2b09/traGYJt35BRPiT+2od2j/9aXbsX+A2su36bAAAAAAAAAAAAAAAaAAB4nO1Y TUwTQRR+MwtIF5C2GqmIcb0YPUCqmBAPmhjFxAPVADc5WE2rNbaFtljXGNPqxWhI1LMHvRjjxUBi jLcmXPSCHIxHo8F49C+cNFDf250p65qWXVJ+hH7N7Lz5e29+3s9Mp9/6Pj4eb/8ENhwBBeaLHmiw 1DFrBy9Ao6ibLxaLsr1Yw3+FfkjiLwMa9EIC8xTodlWoiG1QXzpzjmU+xY36gtl8wtpXO/zyxYfJ 10xFOqdInToFlyHiSqYVKnBmXY+TMS2YtoKUfwzXH4dhnMc5uORavh/lk97TcpzKJ7uJCroXRmAU wrjzMZxHAs8hJEpXHO2KhvLrYMHunMin/e8RtAfTXAX9mBepCUw7r2F9YSXt/+zd9xNk/xRTqmj/ f8UcJ2NW2/4JVbR/1+unE5L2L8eRDyE/IO19E9TsfSPAqb5WgOv4S3r1ji3ezymqvJ4NJV/e393Y es0vrB8wPH1FNXXIHrvb8NMXO59KppPRjNY7MhrOxJIJrbsrCM3YdHygVAd0PZSFrm6YPTQxYtWy JoNxPaZmXuDA/UjtaWiFdugAike/JneInlefB+Dhz4BBK4wpqspa/LdSoLQy2Mz47SCAj1TW7H3P 8CJ1HLyDsXgkrYUiWa0/GQ8n4Omzb9lxTFrwR3aqPjpE8a2TmXfvA+oZPmtoflAn+b95YU7yY674 MaD8e4lvjvUYfFO6KlaogrnLBFOW3+gr5p5jnPMBPZ2JxGGI+NKNZjfcKXnHz1+2gJy7KYuBUsaW Q0dDJym/lliCdP2rN6pbpdNnesYP9pUuJt2d/JXRP+A3b2DaCzwfwZQQeQq4Xf+0ndvh+v02g66g f6XxuAzeWGZHnCB/AfnomPahCDQUH+P5Tizut+3pcoGOgXadTpVOmGyU7ufy/ueBf+NDzf+vH3Dx /jqNL78IpCFo/JwjsIT3B6F2/1sb8mmMtH35/y0XbQeRaMTGB4za0BMob4C8RYfRSp7CU4rr5iuY KMZpGkR1sYCoKx//zTl7sVxA6gmmAjKKYv8m0acZ+sKZi4P6MD6HH4koknMV/1/tio5VM/4v8Ktq /B8jvvb4Pz2zvPF/heJvWflLvP+tqfhf5jgcYbXj/x/GAJLmAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABgAAHic7VjNaxNBFH9vN2nMptYaxdTS w3rxUDAEexA9+IFGEGyUtsceGiXBiEmajxoDPRS8iQf9AwQ9Kd5a9B4oiHioPXoQURSvVhQEtYnv 7c4k27WxuyG0JuS3vJ3Z2Zn5zZt5b97srr7e+/7R4vAHsOEkqFCt+aHPUoYkinwYBPCIsmqtVuMi laTWQ0dhArJ0FUGHKGQozUPZbgr/xAHw1tecbUNZMS2kYr4+b6078/vN0rvll+iXxmLYzyW4AQlX nFZoZJFWfZy0CZDsB8l/lvRPwyyN4wpcd80fBAXZB6TtO22XFGkUcjAHcZr5FI0jQ+sQE083Hc2K 3oL+vEKjIu8jWW9iG1UhAaFbta2W18P/gO30/8i3Z8/Z/42Y0j7/R6s+TtrstP+z/m30f/RAI+46 4d8FDf+X7bxg7gPS5zXYGMt7vt+dkGc6tl+2I7YDXmufSK3r3rOB7oMi9t/LtPMnoAAR43KOoRbO H4x5dEGyBVrhbyc6mZ/bSN9H8Sy/8R5TwSuSE8jv6NSuPgDeLUaMt7xT+BWZM6Mg51DhYXAujEOi LFCv1688xAUMUu5w3x4YFjGTPiahQrkXJKepoySaUZrr9MN4vHhtqjyb4GjH3L+Uyro5wnsGq0eB walUOlHQY4mSPpFNxzPw5OmX0iKJHvlaOhVK3mX9jqAZ+45qM3jM0DZf1gSLZozENEqTI2jUZQ66 LaCiKJPlQjGRBuD++ORxCO6gnMPVj/vA5EAjXcP6EecvxM7ELnDK7ZF2WVUT8247O4XoNp66ms8W ssmiHs3NxYupbEYfC0doUgDOTdbLjMmSD+Ex+H58KbeRk3U3x4VNx9UiXJ+/OI6Mbl3NMTrZ/3aa X/6/cRLbe/G/+7Bd+0+z+DFilPxcHhD1bv04CPP3Q0ZeRVQ1DXcHb+frLXYifgz4khfbGT+4P3v8 +PTZffyw9Tu94k1OW/tlNPrdfP93M/+bwdn6N7cfO/8acb9NO+dHyy/pHtzjDwmiOhQAAAAAAAAA AAAAABgAAHic7VjNaxNBFH8zm7ZmU2tNpY2laOzBQ8EQrBcFv9AUPDSK9Q9oKgmNNEnTpJaAh+BB wZP/gAcPonhrqAdvgYL0pMWTBxGLxasKXtQ28b3ZmbgJbbNb04aE/S0v83bmzb6Zt+9jJ6vvDn9+ uji4BjW4ABqUym7oNPUxs0AvgEv2lcrlshovO2gp3IQUXlnwQwiS2M5BrtYVdkQ/dFTeOcd7/paL /qIxPGaWDd4vvPq0vMLIp/Jc+dR1mIGoLZ1m6MCZeT9W5riRjoDSfwX3n4BZXMcU3LGt34v6ye81 MHzfyhzaf0zyIUjDPETQ8nFcRxLfQ1je3bVkFT/qd8G/uLOi/wDSiOQ7kDZN9itJ0qE6lkt74n0O mo39jP/JjQ8Fin+KvwbGf5WfWpnT7PgnNDD+be+fTK/iX83rguo8QFC5wCPlnBzQfmDSH8h/qY5Q PaD33CVbRQ7aE1zm3xuY+aOQgaC4rMO3i/xDuMfqy1jFbvQ3Eq2sn+ao2FfnN1ma4Qwyz7HzHKMx rJraE6BsMSRGKVO4ueKMKkgc47QM4gLMJ/s8FblunmfAvcid7DwEg7Jm4mESisi9QSrig8aQPFKm G8Yj2elbudkoyZHuP7y4aazwsUhfLg69E7nEVGoGYLpHX1pa64MXL78tLCL5gz8WjvbH3tP+TjHj 2/e0PskCYrfPcrrUoouVGE5p6PAKWakjzzjnE7lMNpoAoOfRl8cJeMSUDVe/9IGhg4n2OzNy6lYI Xw5fo5bmM8yymi7tXvPtNIA/4/Hbc6lMKpb1h9LzkWw8lfSPBoJoFICrE5U+YSx1ExiFn2cLabPG 7edb8ZE6sH3+onoyUl/MMlo5/pqtX/1/s1ONd+p/+2J/8s/29WNI9Pxe7pFyly4OwMcNn+A1xjRd Zwf5g2PDasZe14/zLv3Xynp1/Xh9PPawkfWDnldbP9a/2q8fhP/N/3bsvxWYcXxw0KL4C9UiMggA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABoAAHic7VhdTFNJFD4zt5T2UhTBlQqudrPG +Ld4lQejBnB1WQGXgoiJ8SfKahu7llZoBYkmoBsb/9cYHnjRqA/GEE3QNT4QH0iMhMREeTD6ZjSi ZnU3y67E3fWHu+fcn1qrxVvSqJB+zdc7c+7MPTNn5pw59/beHHfv1IWc+xCFQhBgULaCOULGkFyv ZABYNNmgLMskEpByEiMKVeDHXxAcUAw+vNZDU/RWGBITICW85rQ3+A11h3Spt7+PbFt59+uBsic9 LAXLLVzfUxXgBVdcOiMh4o6MnI+RPlbkeND1L8X518I2HMeP8FPc+jOBM/IBfe8b7efWrsVQB9uh Bi3vwXH4cB2cWq3BkFUcw5g/mX6GVk5Fvo7oT75MPj+olZMY3fiY/t9RaNu8HP1fhIT6P4ucj5E+ n9r/yb8S6P/MBG/OXSP66dzW/V/vRzaJjAM69DiQBmpMSGJ0Qc/fhlrb5LqPXjBcfUFU40B07M7G v3LPpnp/wO8OOorrttcEMQAxADIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAgFoAAAAeAAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAD6BgAAJwQAAAAAAAAxADEAMwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAACAf///////////////wAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAsHAAD5AgAAAAAAADEAMQA0AAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAIBcQAA AHMAAAD/////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFwcAAHgCAAAAAAAA MQAxADUAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAgAAgH///////////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAhBwAAygQAAAAAAAABBwAAAgcAAAMHAAAEBwAABQcAAAYHAAAHBwAACAcAAAkHAAAKBwAA/v// /wwHAAANBwAADgcAAA8HAAAQBwAAEQcAABIHAAATBwAAFAcAABUHAAAWBwAA/v///xgHAAAZBwAA GgcAABsHAAAcBwAAHQcAAB4HAAAfBwAAIAcAAP7///8iBwAAIwcAACQHAAAlBwAAJgcAACcHAAAo BwAAKQcAACoHAAArBwAALAcAAC0HAAAuBwAALwcAADAHAAAxBwAAMgcAADMHAAA0BwAA/v///zYH AAA3BwAAOAcAADkHAAA6BwAAOwcAADwHAAA9BwAAPgcAAD8HAABABwAAQQcAAEIHAABDBwAARAcA AEUHAABGBwAARwcAAEgHAABJBwAASgcAAEsHAAD+////TQcAAE4HAABPBwAAUAcAAFEHAABSBwAA UwcAAFQHAABVBwAAVgcAAFcHAABYBwAAWQcAAFoHAABbBwAAXAcAAF0HAABeBwAAXwcAAGAHAABh BwAAYgcAAGMHAABkBwAA/v///2YHAABnBwAAaAcAAGkHAABqBwAAawcAAGwHAABtBwAAbgcAAG8H AABwBwAAcQcAAHIHAABzBwAAdAcAAHUHAAB2BwAAdwcAAP7///95BwAAegcAAHsHAAB8BwAAfQcA AH4HAAB/BwAAgAcAAD1+nyM/TwIb3vpuZVgGFB70Sl4+DCy4WPd2zGEUdYXjQNnHJEVCWaCVT1Ik uVfTtXb2a9kwdU6OUhYYE0SRZf7shXAPG+9i9zDqAkwzj4UcLeZm0Kix1I08ieUQbus0rY0NymuC W6qbtmE4lRTdL3nLoPrEo0rsNnHIqPbUugIOp6vRUeWvrfHB2fY/Gy8gHdJfjb9Ncf9AMfYbpsbO eeJGlqe8+XibRE2LCKo1CaqOTKUt6cC/FsY5X9kUCLpqAeh5dHJ9BQeYHoP7HmWBqoMp136mninv g/NbZyldW+fOBWP2j71+0fbfl50Dvy+d+K79KyogtGIF7HY6obm0FA4VFCj6cZjcEmOcOhZlZcHe 2bMhlJ8PPmQD8hfkAWQdMoA8iDyMDCL9yH3Io8gdSC9yL7IVuRPpQe6mOuovs9vVscr9RUSQb15V WITCog8M7G0IRtiv8ZVGWaPZujFUwkL/LmHMZBK4KUOaYBZnmZmJ7ZnPWa7JIplxZRmTpXSzdWao JPRPOmMpKSDsQfGasi+l+4Xdq8uevnjYZmnu/G9xtdvHpUNTTj9d15va6Vi76mXHmKzJ3SUTbQNj TrZdfzL5dt+V6d6i5p5LmSDxYzCHW/gXQOxYdXD8uWnr69NPzNtwftytrsrF+9cvb23vqxr4+/HW hjvVjy6fPvLsxTLoLHj16/yemeaY1jCOuPMvOk9mfLiZYcSrP9EYyfr1bzq0uSnuUIyl9UmFN3lB 8vwfveDa+1clvvm5IIAnJP2Mwz6M7w+EXSyubTokhqM/kRjJ+qmP7vtMq+vfeJ8j/0DhQhY7f9NL 6lswlRinYVApj9k1WVq43afI3zbkus8kMn+j50Xnb70P4s/fqP/Hyb+N538x8+8h8r8Y0wwjmf99 vvnf/5T4B70AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABIAAHic7ZjvS1NRGMefc6+tvBrOZU6n 5bUflpVrab+0smzOMnKF+ge0YtJiP9TNZNCLQRDRq/6BoN5F7+x9IAQRZD/+BIMIiqKC6E249Zxz v9eGRdyFIMqe8exz7jnnnu85Z+ec5969eV07/2DG95aWWC/plC9UkqsoT7Br9oWbaB3y8oVCQWbp 7IWyrSpbYM+vdCfKtmI2TCn+ZMikECWZk5RdehT80+r5FChuz8k9eYf1nFqp+sttq1l/OX9/GRu0 V1aEmLWKB4rrus25J+c+PhcypuQQSARdoDhFS+32ohmkiVLHX8leR7Z+kMefoHHux2W6VrK+h/Vl DLRjn5N71rOPIa1h/Bd55qOUpoD6OLcGjL+iBH3Z3xvCStvzJu+3Y4F02cdyXFj7FqIJmqII7/wY 74MknwNhXF13tCtNXsHF7Tldt+1OKzqw/9FfTlvN+nKPy6NYnl/yDJDP9C7kbwDL58DatWaSMajp 6Uash9teH30KNqq0LoRuGMJzM26VvdAtzoEvdWvt2WtHYC3a74g/2D9zZo+QZRx19XtKrVmVypVW qdkpK4qqN0qNm1Apv2hAXtVivWptVsxz1CVqc9WQDzGPX0ZpllPP2O9z+hY3VoU61TQUyVwdzY7z cRZQ2j+1XN7q4V2lWqGRezSWiKbNcHTaHE4lIkl6+OjL9Ay7Gfg2/aFl7LwcXwdXlnui07gk/Gq0 8awBFUP1xAqqloZH1ZUa/JUTmqaNZNOZaIJItiefXFrpjrD377v3m8jSEIpfhbUn/2bhvvCg5IIu 5zVf0A3M+5JnLy9/DcWuTKbSqbGMGZqYimRiqaTZ5Q/wpBD1jyzmqcmyL/xd9L378cSfujXokBus Vfq//xKwrQ7lm8F60As2gI2gD2wCm8Et4FawBTTBVnAbuB3cAe4E28Bd4G6wHdwD7gX3gR2gH9wP BsADYCfYBR4ED4GHwSPgUbAb7AGPgcfBE2AveBI8BfaBp8Eg2A+GwAHwDHgWHGT+ArJTqFwAAAAA AAAAABIAAHic7VhBaxNBFP5mtkazrVij2BoLrhfBgyHYkx4EqREUG6XtDzBKgqlJtmlSQ8BDQBDx 5B8Q9Cbe6g+QgCCe1J9QRQRFUUG8iLu+NzsTlqBlVwIlJV94u2/evp1vZnbee7t583rvxqP19Fv0 4TQseH4SiZBNkEjTmAR2aJvn+z6bLBJ/hKHCbxJvqwcxwpZhAS79mnCQQ43Oq2j3p4JNcYCyQLi/ KPd4Ef2iIi7/oDHM/IN8/lwb5KugQnSDy+fCvp13N55d+PRScE3p6EIicAkVFOMOuwcbUsSdf5Jk Pwz/HM2/ihUax1Usx+ZPET/XQFP7otyzk6Skdannf5lWvogGsuoXHdN6/mMx+Hm8t0Sgm3Xj+00t YOExjurC9kcOdayhQJFfpjioUR7I69bNSFHp0A4O9xd13x6L6hgB/8M/SAwzP8c4p2LOX5wD+J0+ oe279HmUB7YvZsA16NDz3Xo/3J1K4/PcQaVbQli2LVK3K5vvPbN3hG6bb8SfJF/IeErwNaq61gPF NqOu8k5LSqMFVVR9UUrqQmkZMa1t4z2/CdkVG1R1gaOJPUjrmkcfo+iS9oLkIel3qLNx7TOB+ULz +lJ7hdJZVnH/kh0vGOF9xTomMblUrhYbTr7YchbcaqGGx0++ttZJnOz31sfDpYs8v+PkzDFxwr4i Mmq2lbatWWw1kqCoBhwp5cscdOgIKeViu9EsVgHuj99cjuCeMGv4/sM+BBxCnb+JICb/hvyZ/Hmj C4pQy9br3vfuNUWH+fK1VbfhlppOrr5WaJbdmjObydKiAGcXeza1WKaRmcWPk0/r/37mYYjQXwIj DB/+ABxUmxcAAAAAAAAAAAAgAAB4nO1ZzW8bRRR/M+uk8TquHadkHdOPTUMrmdLIH0SCQ5OiElQk ElAcIcEtjWxhFNv5cEgXEEoEiiinnjmBqCggIdGqf0AglyLxUbgEekCtGrggQUFIKKpiM29nZ71e snidmNAUP2vsebMz8+bNvN/vzSbXvu648e6lyE2wyQBIUCp7odXSRlihQgkCtBhtpXK5jE0SK+Wm 7CoZhQL7FEGFIciz3xnQ7KHwj9LFokDMhbFBv+IRsswfP2Htqx7/vv+bX66SPay+sEfE1NMwCem6 bFpFZhFp9cfNmAOs7ANh/xTzPwdTbB1n4MW67YeAEsSAiH234zLG7xBMwxyMs53PsnXk2TmMGNpL rnZF3YL/eELDRt3DyoZlfMnyKxs+YX0vVGPbC02s3wuyk/gPfvH+I4h/HzQU/8Tqj5sx/zX+EVcN xD/xQAWLbuy3QwX/YlwbVHigZNlPax3HIQ9gmx+a+L8XxE281JC68Yfx8xSt3c+tNNif/5V9cadH /kIewTs93vmRnpETMM/jefmggnsrJ2xFtju+KY0T8f4mNeBc3Urz/O8eIezUJZlziP3uprCv4ezE TGG2kCmqQ9Nz48VsIa8m+2L6FeLxlNkGSA9C6UvCH49enrayjE+fGLmlnS5QtTXEakdbAxCB/Tr/ XFyJGz0/OanAqx926XWJEEmWiT/0egqkALt7dBD6Jnb006VVqGpN6gPUkfS8OlrIjefhg49+nb/E ihr7bf7zSGYdue044ZyWkItkoAUjP6kJ/RX9FhfXcD136PIGX815vdVDITiWzaVna85PdA69bdpR 6Y8SzpDShH4SuG63g9uAdlJa7kxhEuCzDvm5q2udjn5wO8S0k6c4xRVNNnZWBn66KNxWSO9r2Fog lNKUNlukxv37GXbzT8MsxPSPewlv4f0TpZn/7w77GAwvqzxCFkq8zV3UJ3sz0c2jUSPv9eAMWbXe aEznIIrz4jtSD7xFxAqv3eoEO8IkB49GHht5Uq+44q/t8h9bCG2zrSCg+GP98Xg8Fksk4/Hk87FD rd4Hl04v/eknXk885An+/s7pxZW5C/3nD992x5+M8L7toYvsZc8sY6zMA+X8ef9Kr9Hz7Ho37Lfx J10cBQfGpGzH15FX7Du+9tMWdrxqXCUqao1LyIM0EUGrr020GXq4G/Woqb8dRl019UwX13cmf6HF Cz68F5/KzkxMpsUqjvrs+eu7E9vIXzVwZs8uEenLB/SspQrcRVXUE6p4fl3hz52zDe6buPtjs76P hi/LzOFPmSJTfMbeBCRMmlRHMM/mXjOv87+C6P8RoEhDWOsjYaPNOf9zzgqiNVa7zMoN1i3B+vuM Pu0wPF58YUybSgPLTHamwu9aTHVLyZz7N/N/Zf7G5f8BRZav3Ox09KNR+Z/h/xzO2xDGhfrxvzP4 dR7f0Psn7D78N/P/9vO/fQW7Kf9ztrnYLe+1s43z+RZa3jiGp3JCFfpG2KoP0rUjqB8z9YcPor5q 6kf0U/3hb3FJbCz4c49cdF6XHQ+FlutRnPdZc10pheubxHeVHeZ/wL3/GgkcttrRyKqOu6nN/KkD R3Z/BumdXpzhrLlvHbr+kKnfdwj1tKkrBziehd6mVI8/2FU9/uN9fwGqE8bKAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACIAAHic7VhvaBxFFH87 e7f3J7nkspe/l9SeRUKiNn+aD1JDxGpjUZI05AJC/YNpvMRI7rZJroZDP9RLCNIPKgpFEKSiYBUR W1q/CBLwS0Fo87lgsVha0xZbQVJtyMX3ZnY3e5e79LZGvci9Y27nN/Nm5u28f7OzcL7ip49PBi9B Bj0GMqRWPaBY2iQszAB+AIfellpdXaUmGctqkbYUDYCGvziEoBti+JyERKYpbEjV4DR1Tvpn54SF zIvup6y8MQAxADYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAgAAgFyAAAAdgAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAA1BwAAoQUAAAAAAAAxADEANwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAACAf///////////////wAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAEwHAAAzBgAAAAAAADEAMQA4AAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAIBdQAAAHcAAAD///// AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAZQcAALUEAAAAAAAAMQAxADkAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgA AgH///////////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB4BwAAHwMA AAAAAAC3SgJvX/v1rOQl4DZsaj+MQ8TWmlbyApNobabbXj5jyrBUgrH+k/j+UTiEchyEV22vr6JH WPcznzG1WEb0ejdMwGEYwp0fQzliqIc+Hb2W166E8P3JB+2sH8TykCTqLiwrWewiZSk+5PFY1lCg 6Of/F9pM/ycf3Mj/F5Qb3P9LCGyy/xuUz5hN9n/uf0buy2dMHWyu/zvAnv/Xw5r/G+OcIOKA4fPZ qBTE3lG9HETeL9LWJuNMR/ZLdkR2QPGd8gK5KMV9ytfks6R/ygWG7vEICBVAPgAQAOFTVUAxAaAG RJ4jvqD+bMDnNiz3YdletJ+CIKbH336M/BGYgjb+y59q7+H8Q7TktLHIXehe1t9M2srrS+iFslfM kZm7yYd7x4YntSltJB7qnjg8FB/TYqGOljYeCvaGzTYeHgzQ0gG/7z41YV1lL+a2YcxzUbQxOmVM Yd4awtrLQDGBwWffl+v5qP/FILzxeTWvy5Ike72ST50Jg4wMZZI6s49Cjo/NdYHsYCCxOXWHXEZd bI7tAP7P3gzhUHw1GZOVxN5qx391JkYzsmNNWJqp6lOT46AmNSyjIMsGuzpzAFiyCcSamO8qcIYO 4mfJVqBeQ5KYkCTZfJdRzWst7SAmiYl39bFjz6E4L6BcKDIVRO4blhXoPfkLUJiFQTwtDOD5YA/0 Yq0LD1e92Hr5SoBH7p0S489bksyjeTbq29P3NH+iRvbDsxC2ay7ZyPb5i+J+0f8LY32b6cKkfHM3 nXWJl86c1vxfzP2FQdOhAS06FIMTX9ycPokl1Pbb9IfqSEpEFFmPKIyfBXd5jztYLeWIUEjguLIr QIG7eQ37CTfpuFN+tNra3ylfVQm3mvj9csHv0eff5qXYNa6NRshaltmRlLDTd/lBFUO+P5yIHtTG AcaC3m/PXg7kkHwtFoqVwu6XgjRFlybwp0q9h/BtHV90CfyHjr9yCrxk8j/iInzV5Bf4F5Nf4Cs6 nlVaFcLf6PicfNQlsHiv+RXxXtjG3Had1kLr92W2xPtE7n3J1CjZgHH2N+6RjDvei+ioSVTMaSf1 YUW+wIizgfdSAPcwoya+gqkmMZyC11qkWr2txOQrZcfd0EBfDI1KOQT1b2b6kpjH2pdY5jFU9LjF FwfxlELvUPyVwcQh+hzme3WHmdcHeuYTc1eyB5QVF9UCWLvuFm1+R4ki2vyO8x6j7abPaKuqMeas TZtT0ucchJ46wfuwu6cui1UC7f7gWDQyFeqLbOxPzLTGxnoa2p4QeNJ5ppL7hYl/DKT3D3K/6dDx bnamworfc1a6rfyzyiK3vlAi3drWy1vU/z+v/wv1I3Kh6n9jeQs5/n8U8H5y+lIg505vnfgPf4PW 70u/6r2de18yNdrofLCGprijy+l3Cbys4yUm8J+awV/iI3zN5Bf4uskv8KJmWMwpB+GdJg7KQg+Z +qVWO5E0U7/JOpohphkeM1xlxT/Iz6Thr101bit+3TnKJdinZXqMPbky9zeuLHOPCGsG/q6M8AHN 8IDFQDp+Po2/U96exn/c8TiIfrqVo/jo5TFUfD4L2VU9OnLbOCIxxsKJqXgkCimSk+7z7oejfACD raX/jfz7v9R/bv8qKP3LJGe6/gEWfrZ/f7B2//Pv3B/lvv/JvD/64J2a4v1RjvujbPc/fwEHmXhf AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAiAAB4nO1YXWwVRRQ+O3N/epf+7u3/D12a aNrw08J9UB/QEkXkgaotCQZipMAtXmnvUlokN/EBixBighpCML4YIKhgxAAh6mMTTOkT1hcTbcQS iVE0ionGSKX1nJmd7e7S295bGqHY08zd+XbOzJk5c87Zczr0RdHI8XOVV8FHjwKHsfEIhFzvNGxM gUKABfa7sfHxcXrFsY3P05yiVrDwrxdMWA1JfO6ClN8UpqRSCDp3TrbBLksL6ZfDT3qYV23784Xr gxrZVH9Y2dTT0AnxrGS6SQemuc+TyZyF2IpByX8cz98FO3EfW+ClrOUbKJ98QNl+JnOqsXXYfWaf /xnUfBx6oEn8ZU7l9vkDWcgPYjsRlH2ad8ulvzG70fXkYIuA9O95uj9pNv2ffGAq/zd/PPHYZvT/ XJh9/yep9Mxkziz7v+ebl+m82fR/ij/Z+n9TQPbVvnXwxgE/qbiQDzIeFOAzD+a/93OdVkM37IZ2 9PwE+kES40CLjV7OyCvNGdp/lZYp5/Q0E/mzSXNZvsrpKXZTSCDfpvzM/f2n2EC5PsVt8nmKAeT/ WAJAEVAMBIiCjKklQN8EgDKg2ARQga0SW5W9do39nM8p7g2qFvdfdVEZzlOHyiD3VKnoc03juq7l GfvagBdokK8Z+9bQleexAyuBBxho7IBRx/NpiB1gdSB+WV89sIPLgfU1grEvic8GMhyjrxOMPgvb duBobhpHO8IVNwJNkDLQtoo0djBG/HL6RkdyUkqmxaac1TDxZmIPgvLY0U3Ajj6PJ37VFA1Rzi8u CXQumibMOiMiHSrf0WysauQdtQAfoxNtDtIYehI/y4izWozSVzjCVE9+xamnMVxC9JZp5fa7BQ5f LhsJ760mj3swVICeRfKkJ/Zj7wy2Zlz+UFh6LPHkwrr23hfXp3ZiOB/SyKdvMunbYO97qSbXLmZn +YIQ9aLYW6urd4l89e7NMjW/3DNfs+e3wUCF5O0KD1TQOUfZ3jHJ+ZaI+Gg0hesTXfEesyW+x2y1 utqTcOrD3/acw2Y2/b7nUl3HYbkmE3tcoR8JHxMfi+UpiY1gYwnhRgdvKPaOXzYIx2z8tdbowUbw gwjhBgfHcrzrbQp71xsNEa5PyfP035rZebjQ1Q3nXM2BV8rpWk1T4uLQR1GxrwlcKOTaeJhdKHWP D7N2wd/o4DybP2Kv/7ZOltlpbY9PchOMdt6W6tpideKNLtLrL1yNpr0JuXPu3Mg3lbTESsu5EaGh T2yc5JfCEk+iMY/cMzX6zfRy/RobCJwsoyVu2nLOhiQetfFRJvHfluLfn0f4usMv8c8Ov8Q/WepG zgcIL3VwJZfn9OtPy9KS/fr7p4JWSDr6+7bEjXfwz0u841dz3LgquF3sYM1t+s1uX379Fod2F9EK bZbCDxcQ3mgpC9ta7MVfFbr5h9k7+e7x5kAzyHHKICgW6SJeydRP7t2wI5Gwjb0aY6wt1dMb74LD tE/KPRbB62IC+crQ91Hw65TD5NSyqmVtmiEXaZiNcN2O277alXKYdYmtu6weq6PXXN29u703YSXN 2LImkQo90ea8E8FWgWUx+OOR893Ty5byJ/6lejfobuT/dODv7mzbHspW/mzTXJav/n+vchjyyjvN /6fK7cd8z3m6u/Sfxb80+b+qPy7abDfeKIPq0/76Yxuw/ac5L2BUaIjyIibLCkzyV9DilLgLttc+ 4076b48sRpE92BLYkuAbRX5ZSNDcwSznDnKD9JYu/3/3AcQ4+CtX+f9fItzfWf5/jJt16fL/89hG FgG08snz/364PSP7f3//xb0P+O8dTYv1LaHx+/37TzRdxmiWd1xRdaK8WZMdN2nbDUsiNg6U0z30 JJJxxdEtbKk+oThacxXHTOrCiT1o9s2rvfRqn9bSEisSCn9Z6cXPlXhxbYEXvx/x4nruxqNsvagK Ghx8TIzHHFzH5UknycY91Q6U6icHr0XT6laeS3N0vHYhrduRUPiIqINTDn426sUh4Y3dDq7JkXgm VUJ6fZusoYZW2ObIWW548a2QFz8EEk9XDaJ+3stGP4dEPbzYkTOse3E8KKo3B28QJ9+QmEE0ukL7 cEcj+rn2QxT8Opo+Gt1b9d+/ux8vBgAAAAAAAAAAAAAAAAAAHgAAeJztWF9oW1UY/+45Sbrcdv2T bFntOnc7UFpaa2wfRGRamZ0Mt262xfpo5xK8siTNklnyVrI5hjAREXwrG6g4weGGMB8LA+mTbuCb MCuMPexBJwiCo43fd/7c5t6l7U0adB35wuk9v/Pv+86533e+3+3NnzqWLl3t+g088hJwWCmFIVTW ZmBhGrQDmKptpVQqURPHUmrIlpJxyOAvDxaMQhqfp6DgdYV1JQZB552Tb7AfpYcsyO6D5WNvHrhX fPveoiF8KqR96iichERVOsvFBGaU78fPnF1YdoDWfwD3n4IZtOM4vFe1/gjqpxjQvu9nzk4sSVVn av/H8OQTkIO4+PmXTrX/QBX6aWw8sFpfLju/FVWasH0byNhuyOMr9Yx/ioH14n9p/sJnFP/NBOoc /6SVnn7m1Dn+XTnP77x6xj/dP9XG/5JK5NruMLjvgXLRd0ILjtkOjTvhcZJRyMJpmMbItzEO0ngP jCn0vq+otGr0/1/9DvQhteivp2xl/ZrT091NcR0EeTXr/E/3AvF8urN1/LdiaQPxCQAdQHcgQBTk nUprxNSzcU88+tIt3v/uGzeUP9z/aBd0X46JOjcMbprG9siZE8A+uMx5G4NWgxV7gZ0fBlbsQ/dh 54fIK9i5/SCGnf0eh6GLdKz29EOkmMNiY0mDpxfH04Jy7mKVcxe5nPeDdx6axooDfmOHfD+gYoGw /sadfwoxdv7OqQ8jgf9t0Gl1i16KlDDTNZmFqWYwXELUBo1O1dbsjGthF7m1jyLm6VAbdKmcTZG0 gLVrWJZ6AMa5jDga0wJHpvPvThZmEsSqSPcDtrAsLfyYlEKAQfuknUrkrLHErDWeSU2n4auv/5i9 isWK/zlrdSZv0/6eMWRMD5kWu2SRSX0DYYUDnXQKOTud0COyHbR4r61HjLfoEdKGuZXabDDEWd93 bMkb1/fSEkO2xre63PitnW68t82Nvwy7cS8vxw/YZIBwn4Mviv5hB+/jcqfes6WXTfuaKKSOZ05i U8z8fPFOdM2zlfsynDM+9CStm7Q1/nQ34YKD34i6caidcNbBe7ZJXMGuTZy3xfr20AonHD3PRdx4 OeTGz4PEFXzPez5fVHM+F2K0RL+j5xfTjRNBwvsdPCV2PmWbKjJMET3C/VRcRMTayrY5gzE2Ucjl Eym4TXZQJuuBD8UE+nPnbhS8Z8Shsoy9MnaoUruBmY6b6t7wfPvQd8YR+51TmVwmmbdGs6en83Ym bQ0PxkUqfXXCaRPBrsHgMPz1wrXsGoY8pH/1X3K1yP/B/8jg1zdjtEeq1V9v2cr69f9va+F/G/G7 Bv979OW/ub/W5nCafz6rRsanuh7in0Tw2LlPeuSzH3irIp7s7AIHI3ImLYbXnf8dxl21YzDMM83/ jooMsTn+NxccMdfif1cI4dsYDFbmf5ZBMfkPA5XnAHRupbV3sG/Zy01Ui2LtbrgW3vBidzKkc6LM uwPBJsFD0oWN+NHPT5gHvfl/dT3myf/N7LBYd6Yg8QiPCJ6WdLAJEtfCecv3IfUyR++bTYIfVlrX u5/X/O9nhH8j+Eq/Y/934sSvFGrgKyHSszFfYRvylQb/a/C/9eRfalXbKwAAAAAAAAAAAAAAgQcA AIIHAACDBwAAhAcAAP7///+GBwAAhwcAAIgHAACJBwAAigcAAIsHAACMBwAAjQcAAI4HAACPBwAA kAcAAJEHAAD+////kwcAAJQHAACVBwAAlgcAAJcHAACYBwAAmQcAAJoHAACbBwAAnAcAAJ0HAACe BwAAnwcAAKAHAAChBwAAogcAAKMHAACkBwAApQcAAKYHAACnBwAAqAcAAKkHAACqBwAAqwcAAKwH AACtBwAArgcAAK8HAAD+////sQcAALIHAACzBwAAtAcAALUHAAC2BwAAtwcAALgHAAC5BwAAugcA ALsHAAC8BwAAvQcAAL4HAAC/BwAAwAcAAMEHAADCBwAAwwcAAMQHAADFBwAAxgcAAMcHAADIBwAA yQcAAMoHAADLBwAAzAcAAM0HAADOBwAAzwcAANAHAADRBwAA0gcAANMHAADUBwAA1QcAANYHAADX BwAA2AcAANkHAADaBwAA2wcAAP7////dBwAA3gcAAN8HAADgBwAA4QcAAOIHAADjBwAA5AcAAOUH AADmBwAA5wcAAOgHAADpBwAA6gcAAOsHAADsBwAA7QcAAO4HAADvBwAA8AcAAPEHAADyBwAA8wcA APQHAAD+////9gcAAPcHAAD4BwAA+QcAAPoHAAD7BwAA/AcAAP0HAAD+BwAA/wcAAAAIAAAAGgAA eJztV01oE0EUfjPb1GQTTY02DcXDehF6MKTGiyBSsREUGkubk6fGkpCI+WmyaQiCtBcPPYl6LgqC N0FPHqOIB/GnR4+K0qsVBQU16ZufjdvFtJuSio37LS/7ZubNvnkz72ey8mb/u7sPh9+DBadAgUbT A/2mPmIWGADok32NZrNpjDcd7CpMQQEfHTSIQR7fJahZXWFTBMHVOnMF2/Q15f11MXzWLFt8MP7y 1sxzoiI/phg+dQGuQKojnWaoQDf4nJ05PqSDYOg/g/bnoIjruASXO9YfAEqY37NYsKufxVRa8jGY gwokceezuI48nkNctuZt7YqG+in8jjs7+t1Io5J3If0y7V9DkhVeEHHuoLfQzfhnfrhZ/E/eb8zf xPhn/t/F+Cdme+zM2Yn4Z+bY1d/t+O/UfnP8G/NYnzkP7AER7+3ygYPeAPNdKv2X1TCXPHfz+Zvh +EJvgcr8O4mZPwVliPDHPkLbuH8xXCNby9jFdvR3E7tZP5tjxL7x/43KsWVkXmDnScLGPJgkloFl i0N8lGUKDzU4UQUZRyhbBuPCJCT7vC05H71DZmgAuSP9fhiWNRP/TEIduVUkDWWv48e8UsYHE0k9 k6gVsRxGuO4fdKEhVniDe1EfhYFENpcqa/FUVZsq5JJ5eHzvU/UJkhb5XJ3xp7l9R1EarYBj6hg5 zjPebEVPqVKPytci3FJoCfBKKbUsEErpdK2sp3IA7Ivs7nEYloixi+5vAamF8PcaEVn1T4ifjp9j 73KGYJZVVLnvlrvTEP5MZGdLhXIhrWuxuUpSzxbyWjQc4VeY8elWH98soxGOwtcTj+bM+tgi85l2 llL48nRQSr49EATfK9FSCFFUldDFWaCLFSRdyHxcDbT2U1hKtrT0ajQKWaRFpNujo3A+FJIr+xv2 g7Im6aekpiQiyt8GWP1nZG+6bD1Z4Ud16UeJktahHwUggnpHqJsOQibxbN9SKx9uZ3e3tH9H0Wn+ YXcIJ///G/rb3Quc+9//g16v/y5/2tPd+s++aK3/Kx96of5/vxiE8akhzjv1v/fr/zq5H8WpAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABoAAHic7VdNaBNBFH4z29RkE02NNg3Fw3oR ejCkxosgUrERFBpLm5OnxpKQiPlpsmkIgrQXDz2Jei4KgjdBTx6jiAfxp0ePitKrFQUFNembn43b xbSbkoqN+y0v+2bmzb55M+9nsvJm/7u7D4ffgwWnQIFG0wP9pj5iFhgA6JN9jWazaYw3HewqTEEB Hx00iEEe3yWoWV1hUwTB1TpzBdv0NeX9dTF81ixbfDD+8tbMc6IiP6YYPnUBrkCqI51mMQAyADAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAgAAgF0AAAAgAAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACFBwAA HwMAAAAAAAAxADIAMQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAACAACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAJIHAABfBwAAAAAAADEAMgAyAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAIBeQAAAHsAAAD/////AAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAsAcAAMMKAAAAAAAAMQAyADMAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAgH///////////// //8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADcBwAACgYAAAAAAACoQDf4nJ05 PqSDYOg/g/bnoIjruASXO9YfAEqY37NYsKufxVRa8jGYgwokceezuI48nkNctuZt7YqG+in8jjs7 +t1Io5J3If0y7V9DkhVeEHHuoLfQzfhnfrhZ/E/eb8zfxPhn/t/F+Cdme+zM2Yn4Z+bY1d/t+O/U fnP8G/NYnzkP7AER7+3ygYPeAPNdKv2X1TCXPHfz+Zvh+EJvgcr8O4mZPwVliPDHPkLbuH8xXCNb y9jFdvR3E7tZP5tjxL7x/43KsWVkXmDnScLGPJgkloFli0N8lGUKDzU4UQUZRyhbBuPCJCT7vC05 H71DZmgAuSP9fhiWNRP/TEIduVUkDWWv48e8UsYHE0k9k6gVsRxGuO4fdKEhVniDe1EfhYFENpcq a/FUVZsq5JJ5eHzvU/UJkhb5XJ3xp7l9R1EarYBj6hg5zjPebEVPqVKPytci3FJoCfBKKbUsEErp dK2sp3IA7Ivs7nEYloixi+5vAamF8PcaEVn1T4ifjp9j73KGYJZVVLnvlrvTEP5MZGdLhXIhrWux uUpSzxbyWjQc4VeY8elWH98soxGOwtcTj+bM+tgi85l2llL48nRQSr49EATfK9FSCFFUldDFWaCL FSRdyHxcDbT2U1hKtrT0ajQKWaRFpNujo3A+FJIr+xv2g7Im6aekpiQiyt8GWP1nZG+6bD1Z4Ud1 6UeJktahHwUggnpHqJsOQibxbN9SKx9uZ3e3tH9H0Wn+YXcIJ///G/rb3Quc+9//g16v/y5/2tPd +s++aK3/Kx96of5/vxiE8akhzjv1v/fr/zq5H8WpAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAACoAAHic7Vl9TBRXEJ99i3Ach8AdHJ/Kcn6UE0EQ07RpUNsKaRtBI5AWrUmxHhX1QD4U z9gUJFBi2kb/KIltk2qqDW1MqqZp+p+kNintH601pEm18RNtNdV+N6QU6MzbfcveysGBoFJ5ZG53 3sfMezvzm5ldTn8Tc/HQ8aRLYGpLQYaBwXAINfRJxgnRwMeob2BwcFCMD063KdXWQDX+1YMC+VCF 11rwmV1hxOaEGbrNGfLsa8b7O9XhAj+X2fTt4YobXZKNxq3Cp1bBVvCMSaexWYFJxvMEsyYVKRaE /ifx/F7YhvvYAJvHrN+O+snvZVB9P5g1LqQK7T4famA7lOOTr8R9VKEdijRuR1BPRUH9ITCEu2D0 z0U6oYE5DKl/GL8Y0MjcInH+TODw5zrt2tUBahyYblOrTST+CQMj4X9fw3eHCP8RMPH4ZxA8/iYY /345L5g1Ckws/o15Nxj9FH8E/sU6iiEUB8y4JzNZQMV2FPjn9xiND4fpvD9VWzD+Mkobc/4lXwq1 TIBmrU3weR4o/ZPmWEE08oM0UP1hDqh1yTyk+UgPIaXDdE0x2Y3SAOVOyt2UA2aA+l5HdSFBlGI7 5QDK2VS3i/qPcgHVgJQDqAak+o9yahxQTQAQj5SAlIiUhJSMlII0C2k2qDnQbH+6mu3vRlow7QeT 1phWf63Gys8DdZDN/4JvCeOof6hNx//7Q7+EyJKtqgxz7U4YLqx8sba6rrqiXsmv2V5eX1ldpeRm ZfNQsKJY7+PhQTBZufDnoydqjFpkHkcWW/dLa1Ip0pTUlnrUHooJDJJPtWv1aO/SeLB1ONVVkiRb rZK9eS3IGG8iYvC2CFhrHrC2JcCaFLA3FyOVIRXifKuMQiTq06aztlzqZnsWgSpEgggcr+Jhy8ra 04G1Y4AhiTIGLontWYcTNyKV0vqYSNaa4aL16zVtHiFZni2BJM+kNW05XKmXDrInHSft4ops2PcE KYpQe3fypbYYbSr2ulFxBl/DWu0ukkN9hll8mMRDhFFqwWhSiZpKkGqRSsUM1qTO8B9JTaQH73Vb uDUypXCnkf9SOhhL/BNuslMfUzT/2sffOUIYRJdUej11SpGnQVlT7S2vgo4Pf2k4jqRk/9ZwfU5F C+WUTInx3PIrrrJofnAumSTsdAt+exLxu3T+zTj/8cdijeP5LN5h3KciLwonvsqtelUsy5fJz4rL Cj0WreclvueiMvUkjQPjO4mknYRpJ+lk56NIgqdM8EokoWhjqeBzLTS+VuePzyC+WOeXgzpOWXZ+ aBRmW8KiCgd1r3awaHvFn0aJMVbsq6v3eKHl+hzsYuZQmqOosrulT2JoyRaNPyalhhC/WDE8A+4Z maB6B2h+l6f6ncRaZ7tgJmuNcak4WogX/uMWT7WiheqDNNjLN0wn77nmALPVZRi+FT1e9DRdNfyS T8tuaRgMgwgDRgTTAvcDjd6xW8+MB/I1UfsJnmnWWYWFmAsHPg+jMUSWfFmmWJ7CR6lSDGfiTv0K QXcSozREd1lSgtYXoc+zsU6502XXfD1J+2ZDlWQn3h1FasTdbpXVipPm2KCwvH5TiW+bB51fQ8SB /itDiGCE3mKfd0P1VoDnZlm39F5xBEAvaKg9yVZwFKb7RpPXlWy9GlieiAZDcq/xOOT2Ef8PAxDY FPrpGcSyMsnioDsH3p1ymCMSnz/u2NrJXC4SsdAn+L08Qik6v4Dz6zn/f7N/mNNq77nob684Z0Xf eO2vxFn/CCzv3tl/aA93Zn/i223Er9P5V8KIX6Q9mxcGx7cvc6a0snfsJCLHJ2qNuWnkFplewTtT eU7X+X95bZLjNdce430+ogZ911SD7pfemCV6RL3xcwrtza3XH/W8XknX+S8SJL/x5zmfo/Mt8f7z 33f6z8+K8x/vdhj5Qch0GOXFsg9Cic/V+UiZ21TnOxjxS9zD+JLZn//6+NJo/ixs1i0djiYRV93C N962Ep/nHsY3zDiMC6zH7LO9cJJXKkfcwlcK7Koe4QvvcV/IuK0OHeZ8fwd/vv3SZW6nTN0O/U5V j3iuCjOet7N/hPM6gz/vM/L3ESTi99ueYzDV6EgY+yzGv55fleJfz5/ldXaBPj7R+A9cKd9d/A+X H6fxz+uZH7t6hvx0Mt//Avv/VHv/C4y4e/r+1xdH1hLlmt7G8v43MmbHH/+xDq8y+tnINevExX/0 758C6528+I/nrQ7+vHcW/0eKsWON/xV95vf301fG/v4+/u9/d+f7Y+Dvf+bvj9E3Eqe/P97XXzBu Nnx67kzIWfctjMppH2063xZF1+V47cb+I1q/MSieDk+BoziOMAXlhzMhxzLUOZvX3uTXrqpXo4ze QtjoQVl0P/fCmZCOt5p39x5o3E0++giuX5d+q6H3QlvUPE02QDasxv4SbSz2YlvUw9i7cYcauGme DdT/sZVo1IyUh9SKtBLUd+/EvNeXwcHXlrWiXRdb1L6VJsSJ7/yr8T4LqcYg82Wkp5CakJ41yfwq EnNU+O0y/wMLgeVqAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADYAAHic7Vl9bBTH FZ+d9Xl3z/dhnz8xX4cBcwbsgolIm4rg0JgmJLgIcymEJsJczzWBs8E25uOPKjWEuFVAVv9JFLe0 qK1Ko0pRokoNrVKhGl1o1RAa7o+qohWhpKpoWlxKqY40dmdm3wzzjjM+GzctxXMa7f5m3sybnXnv t2/fnX2n6MKx1yrfIxnlQWKS4RGH5Gtthi5QSIgH2oZHRkZk/8hUuavKetLBft0kTBpJO7t2kn2Z pnDbUsasQM5FGaZnqGg/6Xav1mUbdt8fil8+bXCbaghJm/oc2UHi49KpFy+hhv48uYx5hNUSIvV/ hj1/guxk69hKnhm3/hDTz+3eJK7t5zJmPqutcN9IdpHdpIXt/Da2jnZ2Dk2AenLalTDTn0du+l0u +hew+hX3mAgf+5G2f8NQLdYeJNn9OcDap7FaOkp/GWsvZ7WCVT9x+WGq/G+WyfR/bku38/91TW8V cf/nrj/Z/k9J7v43yf6PfCDXca1ji+Raxs1/3B/X+N17OY69zhEPyOIQvseEFLDqI64/c/8vgbGS L4oZtsmUr99thYL/rWOeHyddZIn45V4qJmj/85xxKBmjTET/ZJa7WT+PXTh38viF8zeP6Xl8xt// 3J9H838eG3DOKCKcAwnh/s85gccE+vufxwmVrE5ndQarM1mdxepswmMXQuawWsXqXFbnEZc/quEa YdcaVheyuojVxazWslrH6idY5Xa6lPxnOede4DN59vL7DUJD8g222fns4C/avI9Zgrkrj0vOEL3c Uhwq79woWHwRUjaFuKszKqCtQMn5KPFuqeEWU50fZJbB9bmWdJLdnWA1zI78hONaHJfxkbUt3W0b 9u1kQcI6ym3yBnVHEFh3reHOXUKX0J0hflfM7nqnyzZ7pmzrj8jxNhpvwPjznvleV/a851Uvnvtd a43H7XvX+kKA78GH9Nlhd5Z+8WmcR0nhhm2JeFe4Kb4nvL4j0dJOjr9yZc9rrIaX/G3P01Wtm905 qdBf7623DwX40Lp9Lo47v/RzXKPwfV6OlyqccjiOKHzExvI/82D5pz26fIP1U4sfxdLlUn/EFOMV /o04xwjgfpqMcLwY8KA5WK3LD5q1cw1tvkHz7Sp9/KD5/Bws/+NZWP7zs3T5o8bwAl3+qHFBjK9X +OxsffxRY+dsPL5qpi4/aA5VYv1PlmP9N8rwen9UiuUvhbD8wRDW9+VpeL0XS/H6ekux/PVijper /W0q1Mf30+EA3v/fO7jfPe+b/eUm7n8Lzs+1z/DIWPY5lv9fZgRv+6X/H8y/c/9vKBzd/18F/78S zO7/F8zs/it99AnjjN/10SeMrwayc4X09VZbckWrLbmi1ZZc0Wr3R/DcIZ/khpBPcoOcyw5IbrAD E+OGH1a19mFuaAtgbhgIYm4YCGJuGAhibhgIYm4YCGJuGAhibujxY25oC2BuaAtgbkjamBvSDuaG tIO5Ie1gbkg7mBvSDuaGtIO5IWVhbkhZmBtSFuaGlIW5IWVhbkg7mBvSDuaGtIO5Ie1gbkg7mBvS DuaGlIW5IWVhbkhZmBtSFuaGpI25IWljbkjamBuSNuaGpI25IWlLbvAKHPM0COvd0xbvjIPNvUn/ NEOcaZvE9cLGnlL4qMXx5rZc+SW7jZvCF4eUrV8J1IpnqQc9a3z3F4i9AjzsW+7V+9c61VU6jljd 83T5iPWLWVi+uczFjsBHjHglZ70NndFO2bKhQrbY0PJ6OfeHmhqJH3DtQeHD4rxu9lcJvFThx0JY fkcRlr8WxP0vB3T8L/J3vz5fEfWL8wwrfJxyfF+NexZbJngWFM7ChLOw6Fakd6FxeTrfh9qExOeF XScU/nmJkE9k2oRxhzYxW6yjHfS8UeDyncSnA0RoWJ2QZ1xRrfdHrOYFGD8/V8drncZK3H+uwsWu f1Q7L/j4l1BPPNbd0Snbrnt4W1esZXsL2Em1465jVUye4zFhJ3sV/rTw8/0Kby7E/UZQ719Ffyee OxFz4JwbTW6ZzZvWbpcn/yWhsWlT5ptmfDueefIDwXU+sbJNEv/W0nGPv9nRcVugm2L8uIgh9m+S jPjofL0/7ZwL6zhlHazG+I0qjG/MxON7pmFMSrF8XgXGZ0p0nLRfDmJ8sUBfb9Je6OD+Rg/uj1Hc j5/3TfpdYaFxhSM295wvRiVuEPJPRjM99s48xaJ94twSUemRpeU6ThrfFvu0WvW/X4zl3ynE8q1i n1ZFs0QylK+zeV9ia8cOQqJzvC9+cK04Z/uaJfa7Nirx8XwdtwV8eRyviMrzLZ+n96edY7N1nLLW z8f4J8K+FsnnsM9P13HaebgCz3emGI//VRkeX1+krydpv+LF/R+aev+vjWfE872vzvs7Hrc/y9sS 7eOpmd6No+9j5nmv8Z1C64hYHrRPR4zjIYwHi3T5Ihqm+rq2jLoudr4v5X6+/yDPCTv8XlTapc+v 789CY1uJuw5X78mPbrMfm3Lfj8+a7wk7uhrlLM2/Gbziu0K8CImrKwRfDELXswaltHlfV3c8Qfr4 vDzHNYd8TQzgHmv/s5hkPqNJspemh5oede8ug8if4foBXP8C17/C9Qpch0z+XTU8YnrhuyvjvxOe Q1u7LdbZ0dXR2h1u3LW7pXtbR3t4Wd0SkYp7uFm1iY8lCeqWkWufen3XrSsdBr0j8spK9vxE5g6f sCE+g1iyJB/iM8Cn8yE+A1xuQnwG+CqB+ExhiM+UPMRnt3y35sKMel4FW+QJG2II0NPrgRgC8Ndt iCHUOiCGUOuEGEJhiCGUPMQQqh9iCIixh+itMcQQvTWGGKIyhpjIG330c4s78EaPSQxvdMAN1mT8 /2yQ8f3/zK1c/v88GUXPZU7erPeGfn52w1oOaKz8/72QD9fL//vzfjzvn4KiIj89tKiKeGnvUyR0 IE5MnuErMkzOd5RMH4wDHzxyuJzM+EGZuDcNw/R68wzDCB3Yz0YYpIDdreJ/OrF5ImyevYT21hB6 aAXRJboYirHawup2uHZmGbUIjeoR63JHdrPaMcqoFcQM8Cxn33JojBDatxSm2ysfLHSgnXsOH8Jk lUyoSk4EcrSv3pXDEllmERpAdb2u6pYpFpEMCT4Nn5l3c8nRlUzWUnsXs7n03V19u51kk8FuSrMI iOHt8LAEHoqvnngnbY11wsrunSd9EHxsJVwbqOB/ame8E6LwXpi24vDKb248vLKxkvGA47Y9niEr eWQdu+cqudtvgHqB1QdY/QOrqzLmPFdBSMQa35w74Z7LPwdt+pwvMFaqdtz312hzbmT3PLKJsRin g3SK+Tph3k/CfVTTtxzmeiyLvuue3PR1MW0tZDurnWJuXecuTR+vDszlz6KPg+oczoHv9RFtzreJ +z4/S9z/7fU5IaMD8WC9DRkdhSHDAXjQhIyOwpDRAXzUgIyOwpDRURgyOmo8ZHQUhoyOkoeMjsKQ 0QHcTyGjozBkdBRe6OB+yOgoHKO4Xz7vWJmP1ZXeZacvFef4HRJ3IPOh4nDIfKh9hsyH2gfIfCgM mQ+1D5D5UBgyH+o5IPOhxkPmQ2HIfKjxkPlQ4yHzoTBkPhSGzEdsrMzGt8q83x99nzK/V0ryTyE9 VwlkNmIT+LLfzPVkftlf+uP4v+xlFiVb/v/j+n4fLf8/FT9NxU//3ahiKv9/N+f/DZcWUZmK/+6d +O/fej0KogAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAKAAAeJztWEtsG0UY/mfWSeN1QhLbcZ60m4hHTes2TQ4I0UChJAKkplVSDikP NQk2DaqzSZ1SjJAwoYoiDlCQeoW2aiVel6IekJCQKQjBBYrEpa1ADU+JA20BIUFpzPzzWK83cWK7 aXDAvzXe/Wdm5/9nvv+1e+aL2gtHTzbNgIPuAg1mU24ot/UR1qhiagBcsm82lUphl8ZaqkQrivrA ZL8JMKAbRtl1H8SdprAgBaDMwhxtg34uLCQphnvsc8ce2+wa+flTUoHjurKp7bAXwnnJtJPOLNK+ n1yeuY01Pyj5W9n+ozDG9BiCJ/OW7wVK0AeU7ef6XEReu2Ec9sMgO/kRpscow6FXck/ldCpGAftH hN6W92WsXXXYxKzt6gHh3252rWStCvDMS37+X6Hl9P/E/V83oP/fAEvq/8S+n1ye+bf9H2Uvof8T F6T9MRf5AUj7v3oO8zzGAbvv28kLmT5fDbwEgFoQ8cA5v0Qrg1RNh/aLdoT5AG1hFWuYp90SX8wD Kv6j/9rxR9vwSRuok9d6dm1YQrso2df1oVzixSKUd/xFLP9wLYFkSUu8n/+VfCrz7w6W+cMQg3b+ y50aCqg/kUr4F4d89f6u4n+xxtli1WulE2GIa7qwIWftjjl828jwPjNmRiaM7vH9gxMj5qjRuaGd lwL39Vt9vDxQzIZO+P2Od8ftVubhC2NtUUnBdcSLFcMt5dXQBC2AMaj5o5flzIqfGqHlzQC/1wjR dJ3Qgx9qdHIt0IPvsWsQ6FQXaKwGIXR6E//vYENJZsB0ah1oqwkQMcoe06oJeIj3hSgvVHApnCe7 cB25xNTqNqiiU7VtoHsnh8E7abIWAz6LS12P+oRYpY81UYeeoH/Wouesj7sl/34VLjxsxsJixjva ORfO6DAF/xLpK0N+k6lWeI0iH7T4zfw9Yq2JJ3KFGtKTD2EnuCjU7ByJhmNGb/iA0WdGB0fhjbcu HjjJmtF++cDtzZEhF9eQci++ZGnaql3QhVyxbmJWrct6qYsuP/5JLdmWxh+1qJgTlfZqouLEOZWw bXBiz874GHsdSvBd/UVFbQoyZoWIWNtPB4jHh3c+dveJz7njXE7y4xsjG10ZWCfpzW0Ca8Wb1cg/ avHnK5F/2OL/dnNkLf7oKuQ3WvxWbglr40K/3XkhndbPibROX/dypKWcELm1FY89FFV84xocj1p8 qpHAQrLqApEr88t6hZxvxrWeDip+fxPyz1j84brM8Tv99vFuWu/jukje0DbyMxsNCn/y024N/al/ YJv0Jz99gvtH78A8drzoqaV3QuROqIXuNxzN8IDijSo8tccfUnxnBY7vsviTHL1+i98CYlyX9qqD iKtIQlevtFaOcIJQSvvjsYlwFK6gXvh+1Qov8gdQ8pnvfOA8dW2Ohwjqvaf3AXFXqP9CTX88OmTu BTCb9B1bLvuyxBXnuSWoxiPguKni3SUP8mOSf54c4/w+a3y6zD6eoMeI/fkE7QExvxB8s8e/BL3I 8Y3Oiav5revcf6t22i3WFfwMOVxpl5O8quQAj7Ppc/6yXu/Ifs5O/c/SVm5/P8yXFzLWZfj15Y7f IfIB1/+EqfYzzvNE15zzn0f/ztz1T9DZclxinYXzpCbkFOAvQyjH7i/498hvyl/Se1zMX9L4LU/+ y47fSqp/rhm/mR1GZMaJ3/c/5o8ftfLQt/W4RsjKM1cD3NqCKmsYvMrqCi7mlasCeuDUjC/H/Peg dpZHt1+Dzhx+bdlIp6dr7XkxRLa32PnPyDmeZ3us8TWNmfPdgcz5R3jevTeYLfohdurdD/u4H8jT nvYD7GEDp1w4xjKztovil8IWPop1ltuq68RXcLwjlC3B7zaQBtmXvf5HeeJLYpLdnWBtNxs8kaX+ S1r1X43UMbP+M2jSJeo/gx4vV33PelTfc1WF1ISvNkXqMmvCYqv/0xrmW/+nPeCrgH7R6QH2nRdz /s++/2vL/9n3X3j+v/sm/Zfs51x4/mf4Xc4dv8LzP9N/ATu5rvm/DuU480e6Xi7l/1L+L+X//PJ/ MXz/mYtz6fvPcn3/+QfDrvXSAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAACAAAHic7Vjfa1t1FD/f722z5CZbm3RrsmzKDYgvamktDHzYQLRDH1bL OvC5lcRFlt4mzSyBIfEHMkSwDvwDHCgivkx8lqog88UN9EWfGvdL52Y7nT9nE7/n3s9NbtNmvUnj XCQnfPP5/jzn++Oc8z3fe/5ceOntM/ES1dEB0qhcCZDPVSdUkk6hnyiAunKlUuEqTaVKlzqKDpOp fnkyaIxmFOaoUK8Kt6VB6q2eOeuG/NLWkEW7+aC77+y5Az3pMQAyADQAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAgF6AAAAfgAAAP// //8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD1BwAAngQAAAAAAAAxADIANQAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA CAACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgIAAAL BQAAAAAAADEAMgA2AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAIAAIBfQAAAH8AAAD/////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAHQgAANcEAAAAAAAAMQAyADcAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAgH///////////////8AAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAxCAAA2wYAAAAAAAABCAAAAggAAAMIAAAECAAABQgAAAYI AAAHCAAA/v///wkIAAAKCAAACwgAAAwIAAANCAAADggAAA8IAAAQCAAAEQgAABIIAAATCAAAFAgA ABUIAAAWCAAAFwgAABgIAAAZCAAAGggAABsIAAAcCAAA/v///x4IAAAfCAAAIAgAACEIAAAiCAAA IwgAACQIAAAlCAAAJggAACcIAAAoCAAAKQgAACoIAAArCAAALAgAAC0IAAAuCAAALwgAADAIAAD+ ////MggAADMIAAA0CAAANQgAADYIAAA3CAAAOAgAADkIAAA6CAAAOwgAADwIAAA9CAAAPggAAD8I AABACAAAQQgAAEIIAABDCAAARAgAAEUIAABGCAAARwgAAEgIAABJCAAASggAAEsIAABMCAAA/v// /04IAABPCAAAUAgAAFEIAABSCAAAUwgAAFQIAABVCAAAVggAAFcIAABYCAAAWQgAAFoIAABbCAAA XAgAAF0IAABeCAAAXwgAAGAIAABhCAAAYggAAGMIAABkCAAA/v///2YIAABnCAAAaAgAAGkIAABq CAAAawgAAGwIAABtCAAAbggAAG8IAABwCAAAcQgAAHIIAABzCAAAdAgAAHUIAAB2CAAAdwgAAHgI AAD+////eggAAHsIAAB8CAAAfQgAAH4IAAB/CAAAgAgAAKtnRa/KF32OTj1FxyjZlEw36Uoj3evx Mma3SjvJkf+YWn+GZtU8pum5puVHSAq2AUf3vY5LAccoS8dpSu18Ws1jRp3DOErPe9oVo4X18wnt Q36bSquu8WzL28m2aU4+Wm/T/g3qutSZdCftf6H8bYztP0httX/hXo+XMf+1/bP9tNH+RQ/V7NGL fJ1q9u+M4zq3H3BoB9V8QQhzr6Dcpc4n4Trff4u6unL3klCnr+m2Tdf77qj6O5R+JmfOmam8MZY9 PpVPmzPG6NAwsSt4fLJaR+zSncLQKN185MOs2+NkiMLK7wj5yiI7yqCIvJwh+ep+knuJ45E9n8XR MxaJ04k3o1ZeE0LTedAnmtYn1Ch5csRiBBqV9ryZJftAAd/kvFGuq4qnVeGU4Db1WtG+sKTttVo5 Cg1IJ2d7cc4JqVhYuSERQ12w2i8kDbkoIip3v6+P4vD5/bxrKveuSkXF6HOVgugTokNT+aNHCrPK nU9Ysm9JA356gYVSj6T+I+lMcs4YT84bh83M1Ay99/7y/BmVjOEb82/cm4ry+h4Stv99WF8ShjXf kYLNr1h2+KlayfwmC5lp8xjRrkF9+sFLAw34CfJ2fjaVsLHfAS9Ia8+lv67fZbRfAX4P/AF4Ffgj 8BrwOvAn4DJwBXgD+DPwF+BN4K/A34C/A/8A/gn8C3gL+DdwFVgGVhVJs0EAJVAD9gB7gT7gNqAf GADqwCAwBNwO3AHsA/YDw8AIcAC4E7gLOAiMAmPA3cA4cA9wi9R0/MX3wb7Nu3mmZuW3mzpZfsa0 PUpJvBUSVtn2KIurdrvlodZ4lNx9unH24lqPMmGkSrZHkZYnXlGexeb7jUz4mcUlcwPPt4bv6/fo LzTmK8BXgu+C+DjALN7B/BNaVufyfrPeI24w/4T3+Rdl2ccsHjCd8kuaLYcjZvbvOtn3KJMtO0L+ muyikFJOFubyyQyVWA7H3wl6zRrAfxcvD1D9GhsZ5vij40/WSl9Z/ndr97fzTc+5Q/mO46cZfxdg Ow3Q1uPDbvx395LE+3tCvfyTNEfD1s87xVr4/sT0tWhCyCbUivx2UifL5zH/9/j5VDwVbjV+VrfF sx+VBhrwczy2w7coDlq7mCu0cDuEma/7dmA6f8G5Hah6M212OzQT/9+Z91/j+bf6/lt/Uip+OOE9 fihKLcybnMW9/oG2EuTyLMovitNWOVdtP9nrbi/K08I9vihx8uviD+FBQ28Xfyz3ueOymuY3x7d+ /QntUyt+aqP+Rlmv6vX3iSvN6697/QltyYrrRjba1+75b/n82/H+r+/Xff/b2Anv/38A4ICFYgAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAAeJztWE1sG0UUfjPr/Hjt/NhxnB+q dCkIKYoSuQmXHFqVH1sCKW7VVL0UiSaRLYxiO3EcIktFSjEKFRdKJQ4FDkGoCDggtVS9IKUp9NBK 0OTApT25UDggJMqPkFAUm3k7s+v1+t9Kk1rysyY7b3bmvTcz773vZTc3HKlPLvffBxMdBgnSGSs0 G8YIa1RjOgEsYiydyWRwSGIt06C6ouMQZb84KOCFCHvGIGF2hZLkhib9ztE36B3uIev8tc84d27j sCX02y1iZf3lZs2njsIsBKrSaSSZeaRxP5Ws6WPNBZr+F9j+wzDH7JiG16vW7wRKMAY03690XVA8 vTAPizDFTj7E7Iiwe/AL7o2KTkWpYf94Q9dEv4W17SK+kRatA3iMaySLvbZBI97rnXYz/s+n7/Vi /GPo72D8E+N+Klmz1/HfBTsa/8QC2TisRH83ZONfW9cEPA9oMW+D/Ni2s7F2MZ42v2xQXZJW06H/ oh+hH2BoIi60soZYjfke/QHvv034AGICKwHBARgDHB9c4ulmzx7IYkbDVx5foiL/HmOZPwAL4FF/ lVNvDfUH0lVLFUrKUC36d5LqWT+u0WKfCF77H+8OC+gh9jJmwXcsE0jjFLPFPvUtZgor1XocBbFH KJqBvRHSK8Zs+jw7TdGUEzPGM80d0C8wEzPJOut9w9oqe/kR5RkH59hhYir+2onEHIPDZVX3Fl3f 5haeV9OXhULnZCI8HZ0FuNAv267e74LPv/xj6TJriufPpa+V4E3c3zDhOW1UHqdrVlz6S4LLUzLF 5C32yBPF5RH13B7qch/CKRuKuJTg/Fnabkf+kNCznC5ht72U3VwPEXpS5INmFDGU0PgL1KgnZz+A ek6EwoEFxR9YUo5Hw1MRXU+1/lKAqq6/EA+ulZ9WMdVz/O21fu37jZYDHgVWN/D/8SXCblySRd43 /e+GNdxEaCYWXYgG44p3fnEqHopGlLERj1oKvjipj6nJWmNGxuCf8SvzRi8Lq4WiTOjb6+hoNuJM hoGuHAKK+YrCE999KGau/tgDs//1qX2JEEnGRVckZ9LH56t9L0gdhEmh5zwoWKYrQ+BM+tkok+1g w6NstSwNEAZGb51hi25IfIEzGeEL2GjuZGfyJGhzuLVZG88dRFRbGTgAbXTFcQB4xfto8GvtKfnS rQe5OBB7OjhTK369s19eKy4PD6iW/VMdj5hC2mrKKaOyTH1OFY8Gub3D5NM+Fa8Gy9mrdMv/mnGw 2x3cysVbKs7hffJTD4oYHtT4bTfXw3kXVTguDpY79xa37C6ul5rw92Xprorzfwm5p/X94GgpvC29 H5l+60AJYf3cju4z8rfJvX7kffr7/X25863u3PmrLuSfzzt3zc7S9cxZ+qZavxwUdcaz5PcO5Ed1 3mU18kfoZ03IewrVO2XPpVS9856q94xe72zZOV9sX5Xpyd/vq+q9hvX9XHfk8h+3Ix/J2191evP3 t9GJEk7q+/uhBXm/zn9lQd6r8wOqRl8hO8z167HK69cU+aIN5cZ0PZsS8tM6fwQ4j98EMLvJwFEE idvihNbsnS8TSulkYiEeCMNN1ItfE56Ed/kCRps/d4H5TCQoTP7n/C/hMyd/7Qp+qfbPoF6z/fWJ X9n11fivEYd2y38Zft0ohV+76L8F7//Br9X7b1YC/nnlb01CFg3KSQC4mBmDi9/jV+Q98Z8c/Ddb 2cD/+sH//wFyNqjaAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAIAAAeJztGF1om1X03Pt96Zov6V9S17Tbw7cNxypb6Tof9KHSoe3WwWpZ5hh7aqsp RpakXdPVoA+jkyoTofhQfJIMfFAfhNUhQ18yxmDIcMMnHzcsU0RQQZxMTDzn3vt9+fKtcfm6sCya U257z7nn3HPPvefv680bHbfOX+i5DS54DjTIF/zQ5KAxJ0M7gK5o+UKhYK0XGlBXcARS+JMGE4Yh iX9PQcbtCv8Km8FnvzlHnH/DBT0nl0ecvMvvfReJ/3SNkU8NbbJ86kU4CTFPOp1gAGdOeyqRieDo BEv/82h/AmbwHFPwmmf9IdRPfq+B9P1KZDbjmFbzYZiFeZjEm4/jOZL4DmMKO13RrZioX4di3FWi vxvHVTX34fjbcX95NQJwfywHkdaq6Pkq+2EDagOPMv4nuvfrFP9+nA+pwlKF+C/x00pkah3/BFWM f8/20wtZ8W/JUTp25gECKxe0gazxFhhKrgUa9b7egSl/IP+lOkL1gEKT/KEZB8UqvTfVA8r/9OZU A8gnsAWEDqAYAAiDjKknlK90qb80enC+BcdWlx81oPbAVf4dx8wfgznoFz+VQ2QD+Ydg3OdByQNg I/qrCfWsn2Ss2Le+37haO42Naje+U6uP1jATaG9zyhRbxSo9oJ9bM1kFacY4HYNmfSyiaAGbL8iz +kQnZYydTW3Qo2omZZIczi7hMDGNHNdlxiGeIByeTL96NDND5ZBRTrrHpQSoc+9hcu9OPsQv6TQL 4+xEk0U7F7Ror7dI2kFMWpL2jA4hsucvfiYvd1wWn7k6h/aj8URszhyLLZhHUonJJHz86S8LF3CY /b8tfG5O56RuJvLkgJHlX4ZJdHfGwi+2E95r4yGB77Xx1TbCdyn8M3Y+WLr+gVEqf9Av+eV5zcLG zsvFnf2qzl0F8Pz9RTXg6oPZKoZ6jr9a67f+f+Os/9Ws0Y16/3gDw9fWDJX3Xd9u1MMdjr98KjWX mk6bw7Pzk+l4Kmnu6+sXreALUZsmkrWF9O2D359dnXV62WVNw1wXYKGzSWoZDb74JmjYQgY6KJdx 2HLlE8XZfCUC+lq3mGuMaYaBQlGwxA9I8aVB0DDjMb4U2q61Us1Z4tvlb6ECRYn41qoWOjsCfHEX EJkv9kJR4p29+FtyOxmJTozAVxBZ6aXlleafoWgAaRfSwpDddNL6q1/zXdOjquZzdx0Yn3i3rdL8 Ie1/GJiy69uxTUzg9L1BN2eA9FACaWNI1Sxh4xnGOY9m5tKxBIySPfSlsg3OCQHy5LU7YXDXPK3M Kcb2j40+rCX1CAPGIf2psOw71ukrOPlRNJOYSp0EuGsayYu3w2X7IHnHXPVDh/SvQrTFYGYd/yzZ d8c246Xy+5b2KwNGjh/roC3uKr+5p0n8T4V/zST+R8biX24i/AebX+I/2vwSv2P74SsBwvco/Lp2 XSf8C7tP2+lz4ln+vubkz/IT3Gl38T6J6qWvdN/noLjPpNIDWpfY8cB99+tNj/t+s/zDVtphxLb/ o6BTb5Z/6y/Fn24u5V/yla4PiS4jut453f41U7l/ZXmuReaLKuSPHOlx54+b33vPH9fWwuvm2XLn fzT1t3z9qrb/lre3uv5b1PP4+O8bTxqdXt+/1v0Lk65eAl7q/3+jf/v/1v9/AN9pCrkAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAkAAB4nO0YW2xUVXDuubvL9ral7fZd Cm4bozyb0sYPFaxG0SBp1RY18auFtqHa7dJuC24ksrS0aQxRYoQvNEokER8RDEFUJKsY5cNQPoyJ xkQIFBBUijTFF11nzuNy93ZbdpcqVjub2XvmnDMz5zEzZ845NpB1/LW9RSfABneBDqORFHBZ6jRE pohMgFRZNxqJRKhKR4xMw5SCWvDjrxO8sAza8NsBQbspTAh54DT3nGyDHRUWEhbN91v77ul6+Yen zh3RyKZCLmVTD0ErNCWk0woGMM06n3h4ChFzQOm/F+fvg7U4jlXwZML6PaiffEDZfjw8+YjNsszk /B/GlW+CAJTzX/xQIOfvSEA/jXXEIcr0uWJZv1GJM7DejZgCwr+n4b8Jk+n/ZFcT+f/d+xfOb0X/ T8NyyC3qJsv/SSt94+GZZP+POvPi5ZtM/6f4k6j/u2X8VeM2IDoO2EHFBTz2YSZiBoi4kA7TZ/5U hmXQDl3QgJ7fgn7QhnGgRlLr4vJKb5L2/1a8HeOAZPRPJkxl/SqnJ1+mGOJEpNBgPf8pNlCuT3Gb /F35P8WCLKAYCJANIqbmAp0JQl6B/E7nD/9eKOb7P+vwC9Ie3GcKoXh3Hi/rmqYbhsY2f6Kz7rnA Nh/A7zxgfUtBRxvQWP9i/l+BTWE8VFjfAtDnaKCJVmTTMzRI1Tw9Pm4oJIr6ySqSI0X0zSmFdNaX VQqGp3s1eLr9iAHgvbjWhTSey8PDMIL44/nzcOjgQdi2ZQu3fRLpkLZMtLqj9qNBrsGGfQ5qQ0vW n2B0+hXzVrL0FKZK4hSlksZQBC+VaQWyLtXsl8bA8aqHLP4WVwYUyTOXPCGMpV2I9di4SxceQ33S oLqhc83K4NomyorIp35nggPkuBdpQnYO87Kwg0rZWHrdpeo2pKq6jek09j9YaFRwb9W4DAaZK1t8 TQFvTdN6b63f19AGb7x5Yf1eRG/5xfUvFjXnCj0a119hhNhvWcS6MJgi6Y/SaRVX+wNNosfb+rcO 6lHhF/TzWq2T6MV+JeEVRvQ8k17CV3CuX4zQG0luhIyvyJA50hL9uCH02meOtYzk1gV9q/ytAF/l GRf2ncged+ZCLjNXQOcr0O5X8x1KJXqtpDdpOzndYbb3O63tIbZTs/KH2P0g+scY53XMP8QuZJAE 35h1TUyuff4l+qcpQq6gT2jb0qx6wlcs+xe1zlU3Gz+Pv8728X/DStwkYjCWXdj372L8+7dVO8TH v8uv5tPO7WTpmPWPMf4J7GTs+o+6SMQCc5+7daHHkP5t8BjAzRyEbg+4r+oOaYyxumCgs8kHuaSH ztMSeI4z0N+xk9lgn6MOsaHmnprl9H0ENtXUwMbly1HCaEQ3ZNyz3b3onaG6ZXWHP+Bv7vQua+9q 6Gzxt3kry8r5UX5fnVnHg5Uiyiph+Pb32q16K+HpykpoRexFfAnxGcQWRM3yJKhAjwxVQWTgMMcq rKgaZzqxQY8HhyT+KTEiMSFN/wPo14VthB4U1maHG5H/k8H4Yw0mSUhU/2TDVNav3u8pVkxm/j8b 6G0CMEMS8meBiI5UnoPfm4BsBzASTr8v3kj4Z86P8fN/df+ok/Gg4LZ8+/3D09OIN4EA6GhzqVn8 voGy+C1EmzD//xINbAYa8udOlf+fZNTz+vL/eld49nj5/27EEJp+iit2/n9Mmzj/r2d7ZP5fz3a4 VB0zVN2eVMXvjuLXJH+vY12m6NvrWOVRdUdyVd26fLu+CmPQsTOH5r4oKDKcQcdBD894JB1m8zOs 9KP6cZ4ZX5b0uyyaXuEQ9K+S/kAT9IjJf45nUGdM/mh6hUPQZ01+QZ82x/Od2zreMBtxRY/3EL+Z LA0mk4mfL24eEGuk2zLOMGsrIgmNpp68Qp7xS7rA9VOulb6kn+V0tdm+I5PoWrP9w0xr/6PaKQ+Z WWOHkr+BZ+SKvqTfyjPcjg7Vv5Rocdn29HRE+weQ39Ta6shrFvA7N+vzlErG6pjs1Hc73vm3z8P4 jg7INn+m2x0Qb/szrz//k/49dvx/18RE5zEtBp9m726cJsMIxV88+iuBXjzAwjwGqs39+ZrfmGvN /Rl2WPcrzO7gS9UYuNZNtrzI2HjkVPY4dqluKLppl0vSSU9nIIkbyQDJtd5IKJaeOq1uJHrcN5Jp mJrwWKY6W7bnJ/NyY7VLYY85rKuYvxzJuObVl8zmL0Um/QVvrzTpdk7PDSr+7wut/K3O/XnR9DtZ VvoBvSeKLtV8OVY6h905M7r/kBFNn3FG83/sjOZ/XxN0Mm9v458ng44D2fxlyzxPfpkh6Gu9YGB8 eDaR+FA2i0Q8buoZyr96Xv4FXqk9LQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAJgAAeJztWV9Mm1UUP9/9vk36wfhT/nXQmI9luAdGwyAxkTijEYg8wCYsca/M0YhZKbQdpLo4 ZAmZPvlq4sOMxugeTKY++WBITCaJ22Bszv9uOJxzm44JTtxc6z33nlu+Vrq2hEHYesnt757779w/ 5/zuaZkYL7rw9rGKKUhIT4AOkagD1tvqNHuHQhBtWBeJRqOqPZpNayp1gJ//hcCCZujlGIBwoinc NZXButidMy6zU0zUj8rmFntf67XjB3wxADIAOAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAACAHwAAACEAAAA/////wAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAE0IAADCBQAAAAAAADEAMgA5AAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAIB//////////// ////AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAZQgAAP8EAAAAAAAAMQAzADAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAgAAgGBAAAAgwAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB5CAAA ZAMAAAAAAAAxADMAMQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAACAACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAIcIAACFBQAAAAAAAFfGtDxeHspRNrUD9kF3RjrtyQSm2feTzpgqnktA6X+a798H fXwde+DFjPU7uX60ex2k7ac3BsBL5Wboh/3QxU++h6+jl99DO0kDaZ2KxfUbsOB36ejHvVeTM+fy fGcRu4gkqdvA+xeQPk4BUATS/7NpbaaV9P+d7mdfQv83YVn9P+7NSWfMavs/pmX0/4z3jzek/F+N Qw5BHohEF3w/n9c5eH6I5xyIf9uzPn9/pHTt9S4p4/cXbadaS90v3bTM+3mg9Kv4HfkLOWAdyLh+ Jf07yyWrl/D+8T1IvH/F+cj/+F5jnIhxO8Z/+C5gDGiP/4oJSwFjAoBynl1p2lH2/lcvBUAvYJCr sZEaTgbscL1gBZONbAd2uA7YsEfyRL3pWv9WIVpLRzhHyLP6p0IOkHxKm3aiJe0NSHmUHcjTbPKs vsUU/QOq/yYht8Xazxli/lj7nGHvP8oahaXuDbr55202FJErewPjL2YwKOwM+/b49wHUVZgHx6aL 4f2j1weP8WzV3Ri86vaOo33XakzY+Yymg5r38Q2oJxREO39kfQG3dzwZ+UBJXU7IIV38Y0hjjHWG g6FuH4zjvOghVfC6GIB+NH2pGKQunXQxUb9Yan+qvRWUnxwEeAUkn6vfVFKVU9wfQM/zAX/Q7w1Z zf37u0I9/l6rwVMnXLmpk9dFxXzoyaO89DHPQ9xtGwzp8XgaedDWFXphV7iPh6Mz4hxuMTkCiDNq NckbJexJNpmPpWJe+qxQ1W0uUXWTpYl3J+bgd7erx9cdtNq7B60Ov6+rN+7uLj/sbZF6NLqzI+xR Fw71hJU8UI5yXUwucaK8LZxHciAXmcxSSfAa1p914MxBT8ijarw5BvVUY98zTPtYS+nYLexza0w+ qjPRT+7Rii5tj8o+1V636M5SnKLeUrKj0C7Pw/kCKS9ytnF+scMwTyb6hf1sla2q/TSV4RTbY/uL iDOtjcmuIpRrYvIzmuy/yP7j1vFOtXk6+ToS999gnCix6zHYmwV2GXRdl/IivJCRbcXv/4zeKvQG SM+HWpOQ2yzVPp8v+Irkd7WyAnv/I2yIxcuNIOUl8EwLrtPOM2hpCzyzcGapeIbzZ1jxXtlGja8o EtVNySeJ393xDW9LwR+yTpCFEjwNMPfYR/127TZequHCNmAjzk06jyM0t9hL5ecO+j6w+9pGcH9Q Jsq6pummqTkPBQD5DFHnR0xkV8Rne5V//cU8vBVi5YxzkGcPzyHC1GPEyuVy/se9uN4O3sAJtEhL vm/nobbkcyS+vwbG6Zyf9HKGL4xb9EFOdTBVkr9CYEljSOlY8mguqsuN9ctjQ8aoy0kWWMHPXv7+ shMC/DMIdeIv/eRawu8PmPqMDJSkSEvRv5xpLevHMSr2V/+/YdTWWglwkzd47qH9rYX4Y7jK23y/ xx8Le7x38cfLm83nPpkqTnq2KxV/NFaaA8nXsbLxR/L9r0z8kd77LdNxIoYvCMeY4AyWk9DvS2o/ QXiSkMILGCecIDxNOEl4hvAs4VeE5wi/JvyG8FvC7wi/J/yB8EfCnwjPE14gnCL8mfAi4TThL4SX CH8lvEz4G+EVwquE1wh/J/yD8DrhDOENwj8JZwnnCP8ivEn4N+E84T+EtwhvE/5LeIcwQhgjeB35 Pq34sxntNDH+nLiYefyZGP+vTPyZ3P+y8Wf2958H+fef5eD/xH5Z/pe4Fvj/P2/zWE4AAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAi AAB4nO1YTWwbRRR+M2unziat001IQhoJN4fyU2q5CRcQrkCQAKoSKqcRl4biElsY1XZju0RGCKIE IsQJ7j0AB/4uVRESf6WyhFTl1ORQIZA4pCJtqiKg0CogUWzmzc9m7dj12knqBvyi8c63b+a92Zn3 N5mf277w3qmuC1BA+0CDbK4RGizvCGtUgRYAh3yXzeVy+EpjLVenTUUBiLO/FHigH2LsmYB0oSnc lNrBaZ452gY9JywkI9gD1rGT54kzemWWNGHfpWzqaTgKoYp0WklnFmn9HjtzdrLWBkr/Y+z7o3CM reMIvFixfgMoQR9Qtm93Xlg++2EcjkOQ7XyErSPGzmFIopds7Yqniu/HE/LL/hbW/ilhG+jXjYzf DMLHt8knkgvqvv5foFvp//O/nuT+jzllHf2fWL/Hzpxa+z/61Dr6P3HAii/a0Y/xV/m/mucEEQey sm2VPFyrG/J9Xfl+NlenzU6qpkP7RTtCO0D/xLyA54xnrMvnRp133Y5qR1TG3wMs8ocgCT7+Z586 q6g/kPbR8mPsUjX615M2s36co3yfSKyO5mUWCB5g4AZBHssEWhYwWnRzLkaKRqp6Igtij1BcBva8 pFO+azLHNVOgC06D9XY1uKFL5kx2mYQM651l7V027CwRWQrHNMNgMPXCwfQxlg4PcN1/08msWOHb qBQcFFoORqKhpGcoNOEJxKPBGHz0yW8Tp1jz+H6f+KEj7Mfv20NETOvVnyPfO3CqL90osZdHwGQk FiqigaKG4XT0SPwoQLBH//qzC60lNBC+k1ctmj7QUIQ/UiiXFMh9tlOPlZYLUi4x5S7zHU9HdLlP Ot9LviFylwxwrXzDJKGUDqeTqVAU/CgXa6edlZpLMaq4/sJ47y8/zDZtZv+rtf5yvvNzd3hOWKAm LZBKC7zo+KIVDWtvWuAM/WOLwOU8yNelvzq72FpCD5V6NFByvTtQxDOmnqsdiHen1Treb0O8x8Sn DSs/Q+9zW/GIttCE+E+JT9J8vN8h8F8Sf0kEXjbnX+EevWTOz8f7HQJfNucLfMlcz48u63ozdLkh f71nKI8Yq/aRrOm8MjTWhRLGTD3tdyJOSNzZ8MsdVnxNu8zxoMk/0YI4YPK/arGOP0cWDQzzYwkl /5VmYsHXtLt1Pj6hxvdwPGjyv+MxOWDyrzus4zP0IV6pjiXLRVJmX69VYl8Pb0U9qWQVkXQO5YpI +hafgFlk8VIrFJ6BVsL/hh4deqoEyxYRFk01Xebtgrt3B+5u5PlEPBkPpzz948eDqUg85unz+vi/ dB4fZu/U/29rWYPX6//a0VrtR7zjxZoC3j64/uCn41YrpW/28qdOZ3YzsBfojNGjbWPmi/5FYce3 qhJ5ZLQDbnzYzvsaIZquE2MqCcZUhLUY0NdnNTrjZzL4JYWLMKbHwJhOgOZmReN2InXpRDJXM4zp QMG7IgszpgeLTleDV3F0XAd942NNc1NoInTqHiawD+jUvVgTq8nvHDoEk6OjcHhkBA6zJ+57Letv e+d3s/gD1GVvaJ1uQxJZC3/mf1JZa+UOUy5rYe69FfHDmt1PdOun77+osvua4kde1dB/l35mRa6o GqKO8MAG3L8GUK61asCfJ5cq339cyRPakhPn98o6rId8k4fb6OdE4GJ3Z1zzRt+/rbu49vt3/vkX aqj+/v3/PP/1iP/2RtbpdqR/AUrWgz8AABgAAHic7VhNTBNBFH4zW1AWVGyVEjSxIiAYJESIWn8Q ojV6oBLgrkXbWENb+oOkN4KcPHnw4MEYPZgYEmMwHjiSaIgn5eoNYoyJB38Sb8bW93bf1m1DZYsF UtKvmb43szP9Zt6+H4bF97uXnsw2LEMOekCBVLoKKk1jwjyhFsDGY6l0Om08T5dRUhiECH4S4AIP hFHGIJnrCv9EHVRk3rnEvnwntfF5/fFF89zFry8qQl/eCvKpecXwqSswCv6COM1QQQrzeaysqcG2 Bwz+83j+EIzhPkbgVsH8duQnv6fjWOVXsQVY90AUxsGHlg/iPsL4Hrzcu23JKi7kt8HfuLPCvwNb H+sV2H6b7JfipkJ2LKfWxfvK2GxsZPxPemxa/Feh3lu8+M/yUytrNjv+CUWM/4LPT2/IiH9j3TbI zgMEIxdU87xyDth6EOwP5L9UR6geUH0mf9iOjWLV8AHDH3ayXkbpQ3L+HcDM74c4dGof66hfQ/4h jMoCSFbBWviLiVLmpzVG7Bv3N+PVXMVk0I2dI5KeYSZQ9grKFvu1p5QpqqSh6VWQNCFpG6R1iHoe q87Mq5Egl2x21Foqd0ED14EIAACCCAAAgwgAAIQIAACFCAAAhggAAP7///+ICAAAiQgAAIoIAACL CAAAjAgAAI0IAACOCAAAjwgAAJAIAACRCAAAkggAAJMIAACUCAAAlQgAAJYIAACXCAAAmAgAAJkI AACaCAAAmwgAAJwIAACdCAAA/v///58IAACgCAAAoQgAAKIIAACjCAAApAgAAKUIAACmCAAApwgA AKgIAACpCAAAqggAAKsIAACsCAAArQgAAK4IAACvCAAAsAgAALEIAACyCAAA/v///7QIAAC1CAAA tggAALcIAAC4CAAAuQgAALoIAAC7CAAAvAgAAL0IAAC+CAAAvwgAAMAIAADBCAAAwggAAMMIAADE CAAA/v///8YIAADHCAAAyAgAAMkIAADKCAAAywgAAMwIAADNCAAAzggAAM8IAADQCAAA0QgAANII AADTCAAA1AgAANUIAADWCAAA1wgAANgIAADZCAAA2ggAANsIAADcCAAA/v///94IAADfCAAA4AgA AOEIAADiCAAA4wgAAOQIAADlCAAA5ggAAOcIAADoCAAA6QgAAOoIAADrCAAA7AgAAP7////uCAAA 7wgAAPAIAADxCAAA8ggAAPMIAAD0CAAA9QgAAPYIAAD3CAAA+AgAAPkIAAD6CAAA+wgAAPwIAAD9 CAAA/ggAAP8IAAAACQAATLxMwjxqC9ge41YW8MeqeU4N9PsSN4eTY1gOBzTuX3Iype/wnnYltUmo HQ6G/HGX1z/hGoyEfGF4NvNtYhabq/PHxAdnwE3nOyr0nHZMvSbsNlraljT6M5L67Zl+TGT3uzXr tCZz+ckgxD+UDI1ERgGaGtWnr5YdefiFZufvpn3UKfS70QzPfY0nsRJPQefUeUSGR2rniyVVtqqq WT7rRr9WFHz/otrRt/o0yyjl+NtsfuP/NwpYq+nlur+1IPCtKyrn/Zy7mxO/+oPXY5F4JJBweaLj vkQwEnZ1dXRqV6gLQ5kxLVkbnY4u+Ol+Gc31s5XrB+kS9r1u5nkPnjvh4SOnpitCKKoq5FQryOk3 ipxqB/udGJCU03PYb9Odf73rx40DgcqNqh++RnWu/ZMjD3/x6wdBn2vXfpNtMokFQw4l4wl/CNxU V+imfRDuCiNnLH50QO6elDw5xtvnvUzSvP7SZwf/zbEh/pfXf4R+/cnCIR5pYtnMsoXlYZatUrfd f/lvAfY7zrwnWJ5k6WZ5iuVplmdYnmXZw/Icy16UfwCfKE9ZAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAgAAB4nO1ZW0ycRRQ+M7Ms7M99l8ty3yK9IGFDgUZ9qFmpFHxgbaBPmpBAd4kYYGHZ lpBGgkCQGDW++GhSH2y8RNI2MfFBG4xpNBqpCfHdGn0xMUpD1GgKnjPzz/LvdsEfujYWd8jhnzO3 c2bmnO+cgW9uFn/31tXKW5BUHgcBm1sucFraGBLXTBHIPmrb3NraoiaBtJUpD1TphQj+xMAHnTCG 3yhMJ5vCrqUMsuJ3Lu1jVVnIiuo+bR17pudTb+SnL5iLGIdq64QJOA8DKHkY9RhDPYImdwHCNuT7 gDNusTs7OtP4fqbqDJ6GEVuSUhcD5ZNcbft25hQilYCWfwr3PQrjqMcgPL9n+W7cjfU+7c4bMr9Z SHcs8zdNshYDlI9nysEr6fR/8oHd/P/SZusz5P95WA+4VFs6/J+gROtgR+c6SL//70V+mv1f4h9t x678Gtj2f613NqTGgVzLmAKs5yPlQAYPDkrR+Rv5LvkRxQPK67Jt3HHGBh78smfAubvsGf/Iblad /zzObknzfv5X8vWbLpX/E85TmKb8j+IAxW3Cf4oD+PyT91gMFIMAPKBiWilQTgBQjuRFqkCqRKpC qjbn1JpfH34PIdUjPYTUAJm4cr8LN/OfM5j5hWESWuSP/eLd5/sj4///DfnvvPfL1FUkX8v6lLds 6DJhQDNjEgt+xcySMKDVeFjU5BBS3PZr/oorke/PVzz5+F98dlOt/jqjVgeHorPDo+FJXzA85euN jA6M7SCXm3KZKfcS/6SCVoj6Nf9jmZVfEy96iO+K9/cVEh/yu0w+mEvIFg1Fw3rGI1lyRkjPCEgM 7AspzX1b+9M8+cTaHO+X0ApBU84M6zek5iYfFYcT+DbHgNM6foN1yry+o1vxIMqlRl3dKU6Yk559 06ODkRGcUWl87f3eY/OEGSKuMJQNJb/dCMN7hs9FI5ORoZivc+L8QGw4MuZr87fIUPBkX7xNhgfN +Ntg47FrE1Yry5ULU2zJ47OOQDVFjCPOQowMtBsOVZ91mO+xKz9XQPW7ZbIuGBOGwdzzfSAKOeRi rQsjlnu+A9zz3TjA4IsnQWA4YnzpuPzdDjRGjw5S29wx4EsngM81ykUNUcqByV/u+SgODwF9zYYQ 8IWPBE7mSy1ywVZsWBGQzxebMEzlyjlYBzBrtfXbfWpO/cI14aTDVe0WHXGheKc9XalBaicHSWlS J7l1d721qwm2u3A6n/NjdYMtVtLBtvq1VS2XW/mj4tVS4hvjfInkT8T569KKj5n8bViXODDj11b8 muRb/NrK8wqs60fFzXxr/1FxKjtR3pfORHkxp5KX7I2QZOW3ao3fA+uJVl7qG1pP7Y0gAvIcmvya D8lzeDuu94eGlY+KNww1PtnbkvW4UWMU7azH3Xj2ppeWaI7jVaSY+JNx/rBQvJK7cmeX/f9Bcsn7 c2D/ZZk9Km940MSZZTYiEXW8W2vkKSJ+ojsFPiZodLHBWNwZd5JvZIat5ljlzrCZAiWXsk3CBkNi koIFJdsNOdunMcs4533Tk7HwKFwmOZSnHoKX5QSCm/YfPJB8C2KHUwg+EXyKvkOlWlu9++YqWqsx fj/Plln9YU3cH/xUp3mjRuu3vaN7xU/SW+f++m9I+n88DXUAv2HHK07qw4gqTgt6KVTLXkJzVxzX uYxOVGOc0hCq+ZnXbNsZ/1XOQq+JFawR0fIBh3px0Jg86BmIPXd2ejyMO5b38idXM8DUu5mptUt4 gJ9zUM2DtW+zddsHbt1WV5bCn/cU5e3axedu4ttN/jpcKLHi5pp4wWHtX2Yfy6zkeCrcu4f86eDi P6LNvH20+ffwH7Otr+xnW+nDf9z/Asllln/J7qdk8qfd8qdY78WGIy8R/h1UDPwbgIkHZAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQA AHic7RldSJtX9Nz7fdrk+tskanRuZMUViyiilq0PHWrnzAbNSlMYjDGmM6EOYzTaSR4mol0pg7G9 j4HzaTgQWgbbXkrArvRhdIUN9jpZ2cNearBPbjW7597vJl8+E/clS7XOnHDz3fPde8859/zcc25y /6fjv315o2UDLPAxADMAMgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAACAACAYIAAACIAAAA/////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAJ4IAAA/BQAAAAAAADEAMwAzAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAIB////////////////AAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAswgAAGMEAAAAAAAAMQAzADQAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAgGFAAAAhwAA AP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADFCAAA7wUAAAAAAAAxADMA NQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAACAACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAN0I AAD2AwAAAAAAADJosJNyQqXpHeGNKqQewGG820mlUvhK4y1VhkMFFyHKP7PggyGY5M8YxK2usCc0 QkXa5jr6xz3pIQk5/Kp57oVb697on3dJDe/3O5VPvQETECqIpxkYUIK8qeF7dta08eYBxf8c338E prgco/B+wfxdPCLM+rS7Llwwp7xACuWP8bqqy34Fb49N63dMLR/U8jV1II4AcT78RxcswwFCKeMf Y3Cv+F/+pPstjH8M/VLHvwI7a0oc/wRzoMp9dta4IRP/QzANV2CEa36cyzHJ7RAwsA9sacXH+euQ iUE7/Bt4u2X01bpjkH0OIKhzgPGxKpDxbj0XqqEc/4cZVP2G/qvnsO9+w0HzP2pQivOHFHj+UNP5 Uwow76eEZI8E/5nZUASSDb5wEnPp8/AxGlNY6O0ttzgROgkVz01uZy0PlcBA4LXiZCf8xNGY3IO1 dmjiX+fH34tFZ6LhWd/Q9JWR2fHopK+3qxsw7bwSTL8T6UkhXb3w6MzNabv8gTqKE/1/AdSovy7w yi8EM9AtPvbBW+T9R90/SgGHOf4Omr/6TUflf7wP4p0O60GMCyzTVf2HQYd3d/P97zhgDSzrBo/x bOTPJiiulijn//0HZXuVx9VvfO3cyM3cIS7rOMY9Qeuj6CmtYhQ9xUlVT1YB2COUkxC9LuI13lWl 51XTZT1Rgx5zsrIOWow7E3pSgvdWeVvgLva6Lj0O51TD+ZHZy5fiU7wc2RQ+uU3lCjDk7iSStoe+ S79wYs/Ne3U1KOdfdGFHzvxMZDadQv2l8UhoxhcIzfkuRiMjk/DV6sO5G7z5upNz3sbwiqRJBK8e lqBnanBpV1ziW9q3TsT7DPwXWGeIz8clP1+qOH6ZLCvpDmsfViOJU3GF6wI/ncbXqhBvN3Av6Rfj PbvkIAXuW8pBDTmC+ueCTyDuFLiHnqtAjxkYC4bkDJ/GKnDG8JjDmDFE0OCDfjXeJGQY9lstUphk Vg1tadNM0pX4bTInJI35leV6dcSDabwfJJ7DUhTlCMYjo9EJgIct7PE3G26bGmqj24Jvx679Weku tLKT+ela95egnzqQRGda/jePIX42jddocjyHXq372bG/n9vkI6HX0bRevxceP+VnRkwyEbfCwUHy doEjs+cFQikNxkVtuYJ8rLXl/d8Lry0HW8J3dsu7P/Vjfv23ih09s75izNz8rgl+/LtZ9DVCNMaI aykIWh2FKt4b5ueja2kQXEt+PoHRa64Tu4cH+PAY4Hsx5SzgNK0Wj9arCe3E1ZtaJRfAtRQz1tFr HTh2vQeZMt7pAySliAZwcLEd6PXTQBdPCdEYXewSuizX/5m/tI4i7I/+zZ6nNVAg4gs92Bo//u1m qP61UfSf/vjJSYLhJDn+71Cuv7KzvfmU34/6K8PvYOuv3Nntaai/8mvoydVfHR62efeB26aG7Ndf yTbmzU/3ydVffD9J+/spaf11B/lYc/uDPwrP7VKWn7UXs3xtWdl0rBivx7ojtw569a89wusNPvPk HaGTmIHHtBey8F59pNI8/xHJjgHYKwaybPXDs8zVn3TnkdPqI2vkJY/ZVmtkwi1tpfTjrkd8epfP W/luPMe28/O16mee3HOY+c6T+dpifOQfBNvIsgAAHgAAeJztWc1vE0cUfzNjTLIJTbBRcD4OW1Ry SYgCPlUVTUqcJkUirWJEeySpbGEU2/kwpFYlZBQSobZqOfQPSDmhIlUiqipVqipL9NBDVbhyAxX1 wCWuhHqgxct7M7P2ssF4HUxoUj/reWdm533szHu/fWPfvrX37jc3uu6Bi94GAUWrGfyOMYbM7U47 QJMeK1qWRUMC2WrQtqJJSOMnAyaMQgqv85B1h8JzqQN2lfacYoP/riIkr26/65y7evqHwuyDX9ku bA/77Zh6H2YgVpNNJxkYkc7n8SITQt4Htv0RfP4kzKIf03C2ZvsB4IxywI59r3JxfR2FOTgHU7jy CfQjhfswoXvnPa2KuYnnpx06ptu7kR875CmXXwOV08UKMUNbtwcaub4TaCvzv/3icv8c5r8Bdc1/ 5nweLzKvOv9boK75z3xQzkUv9il37fy35ZrhaRywycaBFi1H7VZo5P5OIbt+E/pab3oZOhtUP2K4 68JQ+ezG7v34dSLx8Xx6IR3PmKNz56YyiXTKDA8MAkFAJFoak5BmdwbC8PDNtTkn4qwEDgisKhi/ lBcHLq0JPx4dAkvzINp6gOqR7pu9emZhvRN+Su6XbcGYMAwUWhN85ShIDbY0sMDSpEYwil3CQKZx yT6j/I2DXyBf4HQPEU4MMULqHnmXqtBmbrcUilOLcVQhWwMspMdaSvNauenL+QLY6vW3QZfG/HZa NWwRD6PFu0KhPM1phRNTmTMns7MxWlly/RFXEqD9PsSU7n18mP/JqRXE1qCP/PyH54pq5hXpoY9D +8lEMrZgTsQWzcl0cioF175dX7yBbA7+tdh5MH5d6WTS1hHjN9EjSHIy+wx9nLjJ9X7I3f+yLRMO Qxr5MvIV5E+QZ5CXkb9G/hQ5gXyR+ocPw/FQSO2ZVRgiBuvWTclDODi04RX0PBJeuKD5X82W5pos /Q/oslA5kTuu8uMlUM31F70TjlWf5plqtV9v2s727d90bAwl9KHSnM6FhAtUF1K9btd9zvOhF2q8 ///bxPX56wM8+cVgAQblxzuFNvH7A1GeV5/jlTZjv560ne2TTKN+KtdPpzrj3bXUT6Qvmk1Op2cA 7nQYI9/fC1bQx6WvhZLe75hf6p3Oqv4qHwbVd9uBGv1Wdri28zNEpJ0Lz9Lr9j/i3f9Vfk2u6NGs oXfKkLupqgxlKwBNZVs5xjmPZhcysSR0k156s7wOn0kB+rr9RxDcz1CpoJt4Z+I9JbcV55cN/l+n Opv8f/HzC8DYuFrRX9hiCxma1/08D/uoHy31VYREx9XqmlalnVzvMh67dzLUEb+6MUKY4y8dmxr1 /86h6vX/EeMN/kjGXd94NYTI9Ri9lePKjRB5/lUTqThUit8Pd0vEKPX3CHW/GrJiPBe9xbPKo2VD Imkpr35spv7s+CaQ6irZcSIVpUsZqcrPXA2pOuCjvj74PBKBpbExiI+MwFm8wpbgl6K3gkFY7u+H FczZFPJ55CduWfykAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAJAAAeJztWF1MXEUUPndm Ye/eXbrsQlsE1AtihRQIhcSUxhKaQtGkLE0h8aWSgoFKBZa/luwLroCk4aE1aa2vmpgGjdG0aTRG Y4j6YEysaIwPPFlMtDEmttHUxqbgnPm53Luw7S5sCpg9m8nOd+bnnJk5PzN37rvAz29fzr8OMVQH FBaXPJBp42n2DtkAGZK3uLS0pNqX0rSl6CiE2W8ETGiEfvY/BJFYU7gv7WBWoOYiDJNrhPNnRfMh e9/jzTV1Q79/rRkIDGVTLdALXUnJtJMBRLOvJ5ExeazkgpJ/kK2/DwaYHp1wMmn5QSYf7Z6CsP1E xjzOSresN8IgnIIOtvM9TI9+dg4hiU4ntCsmk++CZb9LRH4RK29IZ/awci/GJhZXwV7Wb5tNjh94 CIDYvmnaWvQw/X/uhR+eQf/HnFIvE0sK/N+RcxIZs9H+j5RC/096/XhCyv/VODeIOKD8WQfh21ng zOnI80E6z/9fSN3f0H4xj+CdDl0T7UHZwHoonR82N2kyHsQ7f7wf4FUN8z/6PcYDvAeo/B8AjIEA OSBi6nbAnACwk5VHpP3ks/8CVgpZeZSVxyTflP/F7P8JVkpYeZKVXaw8lQLbS9ODSWO7TA0Rz2Nz N55hc8+LQ+HhcPeI2Th4qmOkJ9xv1lRWcVNoaLV43DwUqKyBv2uvDNozjpdPjLblI1EjmoMWsyvT D/ncJggUfBmR+eitAzuh8N0dvE41jRqGS9M08toFGpxoBerXwKsFJ5rQ8AwytR/IVLCYMoPUyOQs pcwqvQGNnKlGqw1OhMDBAYNV9gKZvEJxchx0Zg+bYTfQLAuo6dgI7LhigmUx+OezmvgymTcY5GIp kItlsFL2qyxZ36/gcni9ArgOqy+gGqTyqy+b64gLxKXwmqUQrjQ40QJkvNRaWwoo6fcX+vVJd0pk c0pWfqppK8vndlMDaLfjZcwyyjnXLEeHrjaiej3PAqYknXN7Sbkf3bVa4nZKshDvsXCeYcfTrrFM xHtN9Pa7xJRavs593kUgu62nr2vYDHWNmkfDfR39MPPen6OXWTGrbo3+lN8dwMxUoVGeoW5qBMS8 P7rPBnCKGilnITPsseu1kHk+046p9n3Qjme1goATv6k78YdyvND7+Br1JlJvKvW+Sj/Nts8bXVTz Mi7BeVsjfZ3hXoBrxcax+ls5Ce5HVB/i83aaCr/jteP3PZ/odnzWfUgn8v11hL38umAYqvgvccpb w/sDKe3/m0M+jlF3P/X9lsi2V9hl7jwLBKVubGM3QXqBYs9C3orZ3GPldfEK5l+ECaqBtUotT/Li 53+hM94kZ1lthpV6dpUsNcSNE/v4oLlj5KW2yAB7Dg8QtNx/iRgBUu8KTcydSxbJZAbWcljtsEfx gn7FmwsI3sv0aZ/gtdATPjWn6ZhTk3M+z3qIvvOuD3xOefOuj2Tbt5CbJXiqhrybUp6pm1IvU3/W rXgNuuKVGLGRgOvxgAjTXtJ9SUUY5fGVQdzqsnKFF3ikLi1XEWA+g0ceq73NhbjCwsDxZor/y6vc WvHffjprjf9NpnHu6vWcBPdjLfEfJergpNLic0ncDFHOGD/vCkvuPrygwn6JD7pMvu//SHyPOHFt hsB3JHbL9tvW+HF+rr9Z4524NkPgG9Z4gX+17PGPLLt+zF75vuy28GmXs73OoX873cdjY4OJL2GM SQaItxOSOMMg6Mu2EdUIIa2R4ZGuPghgvsY3dBFM8wEYbY/9lQOxZ0jj7G/oQOg5VV95/1/v+w1V GpDr/MoV8dtxL7njt9vLtKvBbce9ZCpD9F/FjtdxP4rqX2zDGVosOz3M5YQsuUfcdtxOS7jE1hXx JTk9Yv3pc3qXz9C0Yn0Q46cniozP4t/TVq5vJstuf9s93/js/hDWndhrCKz8I+IW+LY1fsxt94ew 7sReQ+Ab1niB0T827vzjx8eHe/7x42ni5x/OMz6OH6c3+fmr655F6fifwvh/Ce0gNv7P/bJZ4n9i 3+/iU/r73cZ+v1v9+03i9B8KG2lQAAAAAAAAAAAAAAAAAAAAAAAAGgAAeJztWE1IVFEUPve+0fJp aY5Ojs7iJeRGEn8gaGFN6QQJTqHSKkSNGfJnZhydmmajkvZDuHBR0NIgxFoIWouCCKGNRJSLWrRT EoMgNIgWRTPdc99908zz7800ZMqc4frOve/e89373jnnO8/5twcW7k8XL4JOjoME4UgWZMaMEdao 1skDyBJj4UgkgkMSa5G07ChpAh/7BUABB3jZtQ9CelfYVCyQEX3n6Bv0jeohs+rt07Fze2dsLf7P c4T7lEnzqbPQA66EMGNFBkpiz2NkTS5rBaDh17Hze6CX7aMDuhLGz2f4GAOa7xtZs481t9CpOP85 9uRd0A+V/GdcisT5TQng4xuaFYGM637FPL+waHtAjeu07G5JZfxjDGwa/63BCxj/suZ4kLr4R1S8 GlmT4viP4zyj61IZ/5h/Eo3/qyL+tX3vhfg8oImWD7IhnQ92ozjAD5ehnUV+J4sDL8sDTtG7Yigq lST9/5TRiQYkGfxUyk7G1+p3zN2YQzJYw/oM+R9zAtb4mK8x/nPE3P3ims4HO19sgHxQ8rJM+MPq ihWeew5yXSJEkmVCR2YkeqMWJPbeSSnrZKJjkPzhJj6rFe5UVUFDUdEa37IXFsL18nK41tAAwa4u mBgchE9jY/BueBgedHfDY3bFPWi+R4Qva9+Y39ngKGsDFO8xT5ROEKy0bfwuemoW1TSVBVEjlJng WgUpEmPZ0Xk5VDENmfKZVpaZC8WCM9nHLMwyDZudIS5IqsfjnBxobA9cagn1urCqwaP/oOoKEPs+ QlTbBdROlylqZqZVmnCfP+lQWJ05pvI0hbyWTo+rX3G6gkqTz9PuhclHK8Fp1pTKr8HzVneJapNw rGr5tWSTcGVTaB17FO01hzwdvh6ADxa57smieQN7lO91NWp3imRyux0htT9O7aD29TiQ4L5VHCpw XkA9xxlYz65+//XG9z9OJ/kTrQ3J4k3J/G3y7YKKlc/nCqwhQiltDvUHXB4oQbuY2Q7Bbb4A/8x/ NIP+DNIar1bFedJ5Rl0Xjkiy8Ftd7YtR1Nh5sc/X73MHFIf/cnug0+dVaioqeSqtb46OcWfTOhU1 8O3YjD8Obd1n/szqvkti/iWTjGwH/+P3b5r//w/8RPhf4/s0/+8e+Tf5Kzn+n2DO6GA3jkb5vyQF /L8gKRkb8f9T1hYY4r0k+R+i/A/01Rr+5/O34FHrYbclnv9HpQHOnzWCp70EeL96y3rgvVUunVsy b2Bfz6deMsXt9gqcNrpJPRCHc9MqF2+Mo68H2v6Gty1oN5a38cUuLWu8/edMW/F2qvhfXz/bv1jB 9tDC9fXqZ3qrGujIrIRaDZ+1vfz/G6kxjLAAAAAAAAAAAAAAACQAAHic7VhdTBxVFD5z7yy7O8vv blsaIHFqqpYghIAP0gipKUjVdmmgJj4oKTSsosDy15IxBglobUg0Ppia9Al9sfrQpI3xyTSkatKY ppI++KSGxoY2jYk2mtrYwHrP/ZmdHXZhd7siIGczu/e7c+/5ufecud/O3Pcl8x+fL7sOLmkCCksx P+Q5+jTngGLg97BvKRaLqfuxLdlQ0g5R9hkFE1pggP0Og+VOhRVlB3jsPScMk6uE98+K2884xx79 MQAzADYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAgAAgCGAAAAigAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AADtCAAAigUAAAAAAAAxADMANwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAACAACAf///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAQJAAAOBAAAAAAAADEAMwA4AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAIBiQAAAIwAAAD/////AAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFQkAAOIDAAAAAAAAMQAzADkAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAgD///// //////////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAlCQAAAwUAAAAAAAAB CQAAAgkAAAMJAAD+////BQkAAAYJAAAHCQAACAkAAAkJAAAKCQAACwkAAAwJAAANCQAADgkAAA8J AAAQCQAAEQkAABIJAAATCQAAFAkAAP7///8WCQAAFwkAABgJAAAZCQAAGgkAABsJAAAcCQAAHQkA AB4JAAAfCQAAIAkAACEJAAAiCQAAIwkAACQJAAD+////JgkAACcJAAAoCQAAKQkAACoJAAArCQAA LAkAAC0JAAAuCQAALwkAADAJAAAxCQAAMgkAADMJAAA0CQAANQkAADYJAAA3CQAAOAkAADkJAAD+ ////OwkAADwJAAA9CQAAPgkAAD8JAABACQAAQQkAAEIJAABDCQAARAkAAEUJAABGCQAARwkAAEgJ AABJCQAASgkAAEsJAABMCQAATQkAAE4JAABPCQAA/v///1EJAABSCQAAUwkAAFQJAABVCQAAVgkA AFcJAABYCQAAWQkAAFoJAABbCQAAXAkAAF0JAABeCQAAXwkAAP7///////////////////////// //////////////////////////////////////////////////////////////////////////// /////////////////////////////////////////////////////////////////////////7G2 afj2ZS0fgaFyqg36oCcjm04xgGjOeNKZ8xi7toGyv5/F3w+DzI9ueC1j+0FmH/Oegsj9dOaUsCsi 2y0wBMehi618L/NjgO1DWKITaa2KyezrEK+7dOyH2HVGtgPsWkySF0uOdrHUj30FrF0ksR9E7W/J xpW1rP+5l689hfXPSz939Z9w5qQz57+uf5Qc1n/G8eMOqfpX8/AZgs+BpVi89n2sD2u8kF1eSDzb t+p+c0i6+bqCZHz+Yu6cWX1Y2pLjeP5X9hV/x+eXDuvrPF9PvmxWwf3H80DtvwfE/zp83qvnPx7V yBORtyP/w/MAOWCxzJeg/MUzdXsOc2hr//99AbnngsVgSyPYja0abafsCxA1Lp8c1ecLcMcfzSuC Msl5MBNmWeszds2wFPHrImNwTD4c6hp99Yg1yOjMPM+pv4mYATLnqjWhexvZR97zYSvEWuUFFax1 n0wsiZEf8NcPOoHiI739PSNmuGfMbI/2dw3A2c9/GzvPLrP2zlirGZkWOjVuq86YIS0FOLXGEvgK ve1H3CDxOe1TH+I6S40/5kFcaeOfCeI9lvDHjGXnD+Gx/m77RbRIvtMu0cYNgd1xs16Cdjqs/u5o H8BHjxhPXL4RShm3sENAxfsl19ttx/sCj3/Qjm+AivtJ7D5AfOe0hwKoIWzb2c01dixbx8zsuOMD +rqOGg5YCt/nGluXxQOudawuN75NvY7ueGbIW15UUW3H05qHuNHGe/lp2mwZMvMNXh3irZnwJch1 SV8mNEJIhzUy2tMP02gXn7S7YJpPwK8bCyFwx0whUfhOmsKDb3SryIn7yD2OuyWe1pu9TtxHTnrE +Gx2/oeySEniSlG5UhO+S4WooU3aed97kNsJ23YPe524k8rMMLPJjLgf1JUZF1UmLIvPnQmv7DK+ 2ncnlHZ8Z/kTpUr6v93/Ha/kvySO+hJxwBD4nsSWV+C79vxxvh437fmJOGAIfMueL/CCqfwRT45q G+/lFd0o8X7dDDr9WSRxrLHTmhqCQ7r/u5eyr0O9x4ajI9HIqNkydLxrtDc6YNbX1HIq0Nxh9/GH vQI19fBnw4UhZ5aSU3X4Y2jk1JNA3r7Ashg9ZBB3hkD51+Ny5ItvloL+RilvU02jBpvzzoc0ONUB lCVzQAtOteIbNINM7uGaVO8B2VsJ5GQju4IP00JuoY4Nm2XD2IlUoglHjOBUGBJ6uGsN0jUyWcNL K/moOpDOc/0qwvDT4WdFi40RWpgLvEVOM09PV2JPFQSn2iDuutRdj9O465OPS33x8+sKreC72Z70 XMB9U9xNvX8nUsfzTP81duMqxXuMydGbGjK9Cn4Xz1k/IfL9y2EYZt8jUMs/6cvOLN4/oBTrGRhZ RbKxn0vZyPYfNH9Ua7Pwx3d3RKrWE3+M+5M7/ti52/jki+uhlHGvJX9MHV9u+WPq+LLnj89VGD+l Xsc15Y9VaNfNH+d+WZ0/ouUGj+ADip94JT+4a/OHSb+TjyySRNzgEfiWPV/gBZvf/Vrg5CedlASc /KmTntAT7zcl8JdOKlfGzGJlSpDHOVcGV+ClP9TK0BVWRkj8ZE8ma8OfVrIPxJfe0BVFRZlp/a5N /Kn//61f/rgx/v9t1f/Gr//0RiaXfwBLDwDZAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABwAAHic7VhNaBNBFH4z079sW9umPxYpuCr4AxqkelFo adRaBI1ievFm1FUjpmmTqAkIMa16EA8iXgVFz4p68lbBgxd/DnqvoHjx0IMXFRvfm5lNt9uabmpA 0+aF2Z3/783Me+/bybu3bVP3n6z5CC7pBwEzeR/UOeqYs0MrQI2um8nn83Z7vioVJUchjr8UmDAI I/hOQMZtCkWlC2oLZ86xzN9wWT+pmvfP6fzR3x7pfcUMzA7U2jZ1GM6DVRKmUwzgzLkeL2M6dFL4 e3H9MRhFPU7AuZLx/YhPdi9A2b6XMaswndb5QRiDCxDBnY+iHiN4DiFduuhpV0zEr4FZv/OCj64L d3SejuGXY/9mdHJLI/ZrAuXrVVk+Uk7/Jx8o5v/39vY3k/83Q/n9n1Dp7WVMmf1/Dud5GVNu/3fy rhd8p//b44jn3XHAB8rf3T5fD1WeXy5CtkO+Q75LPEJuSbZAZ9yAiWyA+NqO/83aJlr0uw3IB2Z5 ocoPlSVcx98jGPktSMJ2+fMu3UuIfySXRQkgi8hS8MsplYz/9+cPJX9/U4yonv//gc+yhztZ1pwS WcBzJwbYht8T9J5mXEb/XuM1e1lPx2WlU5EGWTPJN8ivjmC6B58/+ZUZNdstWVvDoXU4GrOSZsi6 ZB6NxyIjsL9zISSukRioeWOss55myKRV+TgfkP8qhOfh4IMTTjgTOxE/D9kBrFhbZ5xZGGd2Rfa8 mzhN0ZcmbttY14IcR7un/uFQWH7ZV2NdYZzzcCaZsmJUZ8A6uCE7E3dOf/HDwzaWda/pTyYeCoYO yAxqz9AbhKHO0P3tvBofh6InE/Fk/HTKHBy7EElF4yPmjsB2ScX7woU6Sc92IbADvu16OjbnlP+o fUlk4ZAq/y8P6ZFW8PlFWlvK1ONuGN7TLfOCMWEYzD8RBtHCoBFzQYA2MPj1PhCryKxyQeC5BCYL UwT4+GbwT2QK3S0spTGl1LDxLXLMTuw7pPvwXIja0Ch5Du8y4wHMzrdfl9845lD6R1+M2vqv7YKt HzoX0//Ueq0/ugFvcOGUsn/F16/hct7WTfKuuP4HJQS/9kDIzZy7lvm68KvPRHFdaA32t799j+Ra l1GMKo+xYbegNuQCcZfRTaFHttJNwcftnLqF1srDwSlkLsC6dV1joV8TH6g5blDEoKi7Rt/Z6UY6 ibnnmEyMht+FunFQnyY4FEmdHc6M4nV4WsbkH1yNAK33Nqbm7uDAjwnKtWPutm8BziiBm1iBK977 aGggY5dvy7KpyzdFRy0tb+eQzWEg27cUymfqqLx5yKfLSUEIwYQVURqa+aVp6GbPr6JFsmco4Z63 NFauVP4/2GS8/hf8f/ZT5fK/O/63Plp58d+Ns5Li/2/HKfBhAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHgAAeJztWE1oU0EQnt3Xv7z+v9baliLPCtIq DSW9qKBUtIKHRmk9ClpNipUmaZM0bfBSrIh4qh49FD2KCP6AgnioKNKTLejRg0L14MWKBQUxcebt 7vMlbTRV0dRkwmb329/ZnZ1vJ1mYr3117Xbza0iTPaBBIumCEkcdw8QVqAEolXWJZDJJVRqmZEHW lfRBCD9RMKEHgpiHIZ5+FX4oDVBs27yI7sczcUNmRfMBZ99b3unKmGeOVWB5sljdqUMwDP41rekU HTijtbm8e9mMMTDVg1p/H+4/ACOoxwk4veb1DfQI53lmM6Ya06As98AojMEAnvwQ6hFEO3glimV1 KuYvrF+LaV6WyQxfHeMTMpXDSl+m+pJV6guyfuWv+v/zY1Xk/5VQ8P9c8X81rgxSeYBEcYEO4o1X 4oICB/wvomI6it3If8ktieMptqM7QbYm+9N7QO82+W6VvA81Mq+TOfnUhrS7UpDcFi759zAyvx8i 0Gl9spdG5F8G32P/bMfd09awyE/EuZ8/N2t+rH/h+vvxS5jMzg/jJ5sGl4gDOpjggiW0LHGAR7/K FuqJJXwTCk/XkdXDEy6JfdU0whfzhVWPbeXWiJjCQReNiNl4oZRwwMZtxdaMNt5l8ZIv0oLfX/hk Qug7bRFWEYea/njgRGgY4NUGvbT7g5FhJ0zuBOydxAyaYntE4XOVqfhhCeEOGz/VUvEVTnh3hFhx a0k1siOdO7O0E7oa1lpS10nGOe+PR6L+ACyRXsSnm+EiUxY4+tGA9FPP5Bzevd6DoqT0Zci2mi7u QHrstRG/eodOhkOR0GDU7BkdG4gOhYJml7vTovL9/VhX4P/8lgL/5/f6Ttasaxrcsv74f0eTrs0t Ghl2klP8v4X0Suf/xbf/kv9FnUXvCri7YHnnnVHnuviLtbyW8QseLOvGlA+MqQnQqJZ2zOHy47uy 5+dNDfDiUaNV1hjTdJ2J/hHR356Fn98N/DzZgsNvSCs/24azh1fMbrQaUwEQrTHM260kdImt6L0d qKhaRR4Gql85d8r+v89x1i00ys5+uSIF++e3/Yk3VOzHJFYGedIEcAZBVKM2ZHrtgWWuFquVIkUX VyURBVCJcXqGqORmjbKu3O5Xwbv58Y30DxxxZ7OMGSiSnMXSfUwm0tYnJiJO6lMBvQPRU0fiI37A KGWV1wDoNTgyFPBHTK9/3OwLBQaCGX/XKBZ/2UBD3XGFZ6oIe2zcqpPK7e0Kvyuj9jYbzxQJLPQx k7+mT/rrtAz9ll6edoV761PxzYpU/KY4Fd9gAqefE8ugVz7Y3xnX5IL9M0cnf9/+3wACH64mAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAB4AAHic7VhNbBtFFH4zayf12k3qTZqkUYSMK1Ux pZbrCgmQioJoEBwSoiZHhJJgRzXq2ontbuLCIWpoZCEOKaeKQxWOCHGAShShHoJAqKc2B7ghFKSU AxKCikogfmLmzc+y3sSJ7ZgfV37RZOebn31vZt+b943X7wQ33vmg/1twyVOgwVbJB22ONsIKVeAQ gC7btkqlEjZprJRa0lRyFjLsLw8hGIY0e2ah4HaFXaUHvPY3R9+gt4WHrInuZ51jV25cDVrxWwR9 atGrfOoFOA/JmnQ6RQdKnOupZs5hVrpB6X+Grd+EWWbHNLxSs36D6ccYUL5fzZwuVmZkncr1j7Gd T0IOYvyveumT6/fUoB/HfqT9Xf/TsX9bsrSz9gMgYrslD640Mv7RpXaL/7Efxh7F+PdD4+MfteKz mjkNjv+ynFftvEbGP54/tcZ/Qsa/stsH5eeAU9SZcBDEeRCAVp5/UGQY5uACTLHIT7E4SLNzYFQi q6qoDNXp/3eqHViF1KO/kdLM+hWnx+MAYxuPZeRnKv/juYA8H89sjHs8AzpY6QR+BYAg4Bko5nbL Z4szNI8M8O//1mfXpT/8+lAPfPlpH69rhGi6ToylBBhLOdDYN/cHCS3G0Sfo8mmgy0aYXhpkvdlt vUbYWDJB9FrsGeFFvMvaNvo4YFX1imcWsH37u0Xvgvsdl6L1xg76vkfGAmJ1x/38CMCrDOQ17GOR oH1CcLcGeC9Gio+qmsjCWCOUvYLXoqRPtvntcQE6RCd7MWKOtXVCv8zZGElrrHaDlVAvwC9ERByO CcDIVP7cRGGWHcdjXPfvdHFLWLiCSsFD4dBEykzmQqPJ+dDZjDmVhuK7P85fYSUUuzf/WHBGw/Wd ICKm4/oq+boHp0YLCl/rQBy3cVhHkyMRhb8/gP2DNr7mEVjYEyrVZw/h+/6Tbdd9GOd2xSMKj3SX 4/cD5fiutxy/RwR27xOpcZ+EXcTer/Vu3I/EgsIrXfjG7IJP4kQnZ1VWIqtGPMI/esJSOO3DGZaN 19sRmzYe5CvJ2vhJfi4ncjt8cYorGS+Y05nzABuH9W+G7hlV7vAqsQx8xfGcwq8fLMc32xCfsPEX Wjl+myI+ndOlf+rch/mHl95pcF3S1kVCKR0v5PJJEzS0C/PJw/AGURH44s8GuHddg51l9OnR58tb CMs4mi7j1nX3YIEEI6mXs5lcZiYfGp67MJVPZdKhU9EYT2Vnxu02HmwKRE/B/Sc+nKtggkuI4yex ZpT/gv/hhl3en9llUqv+Rksz61e/32LE4e9S9fA/xffcz5b8/+VfOj8r8j/FP1Ny4LnXGP+8eITX bf45wcYT8BPBDS30Os4/tQ6kW8WT/H+cU0UQjUJPOf9UrRaqXE6GaTEGyNUq8r9e5uzDrCNs878r BG9K++N/G9qGvxL/+5iVVbaXV7Wd+d8aj8nfqJgB0m7MnPhuRlHopIa1Llb7w6PaznhVG/W52cQu 2froVwMzR53ZGv9tfqeytWIWdM9s/U/mf876W/l/X7IXL0Y/UN9csMBJ+pzfeX+YpEUdcUziNJnl 94WIjR/nbHdQ4je1i5rzvpEmtzk+WdiL7Qb69cu3No0K9lEXb5+k05x1X7ftjAr2uk1PNfcD5z4o 31frybQ52X6a3Gx3sv00ecnL+001fojfn7KmsivMo2vCdN+narPLvf41usnd07IqsfW/AF6tq6EA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAACAAAHic7VhvaFtVFD/vvqRrXro1Tdus6wZmFWbrXCktDAZOWrTK0FZdCgoimnXpjDR9/ZO1 CxOsHZSpX1SYIPhBP/hhiIhOED8MIjooiLUwRVCnrZ1/tm520+ls6xLvuffc15fYbMla61pzys3v nvv33Xt/55x7O/ZZyfjr71ROQJrcATokki4osJVp9gYeEHVYlkgmk6o+mZcVJbvB5H9R8EMzdHHs hVg6Fa4qPnBaZ864zkaZKI/L6rvtbbuf3vHWgfoRzUBljeLU/dAJoZzmtIsBTLOvJ5s+ZZTk/Hfy 9Uegm3/HHngy5/m9fH7kvQ6S+9n08fHUQflm6IH9EOQ7H+bf0cXPoZW0/qx2xc/nd8C83WUzfwVP n1C+kKcrC/AikYZFNMdajutA2nxeVr4sp/2/dvLZN9H+0fQbnbJsCew/JeZk0+e/tn+UJbT/nNeP J6TsX/VDH4J+IJGct3kX1bsJ8za/+iRbvl5Fco6/yCPDuQQzkyzxev5X86v7MQA0ADAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAgGL AAAAjQAAAP////8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA6CQAATQUAAAAA AAAxADQAMQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAACAACAP///////////////wAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAFAJAADgAwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA////////////////AAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD///////////////8AAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA7+i/0AU5YXGzP+4iV JXj+GA/s54/vOozReDfEGID3dYwBeAdU979iEE9AKAGMgQClPJUTdzCtp/wGjpU8bVwkr/Ly74jG T0U3pA9Jv7vhGbaE23vNPrMj6m/u2R+Mhs0uf0NtnaDCXQGrTNBDKbUNcGnHuz12L+MWAyO3iljc MViGjNlSUMyZsUnw76WP3qaWDz/lg49jG0Re1zTdMDTvoQDoxRq4ea4JGWewoWrwHuoHNlQDbHgn 6JyRvLKd/7LDDTji8IkqXcfCoU7wDpk87VOtOsVvULTaqgojkDrmiSpsqHOWu0v4mPX4OQbPbKdu 7PnpKmAvP8LTo7xkqBbLZ0rRmmpjaDf1xjn9/FrUt5M+qu1ah3qNpZeI+uqYS+hxFliDVthp7gup EbY4sUWDWUgt3LoYwdJPirtntYm7OMf85P1fEP+ocTDwtIUjoT5/a2jAv9uMBLvg8NHpgRd58tdd HPBs7PA6+N7L+/cD/OYfgj6oE3/ZS8V13D/FZubj/w0y/zaNCc9/gXNJ8qpKW+dBCtUTrwYTsqXg FUNeBWKRPSY3pDcqjVtHTnsX4BWOq9G4jMat0cPCQmaJv/c6pD5H+gea1GdM1f54AepnrfZSn7La S/2MZQ/OEtS3msrCLguL+9KqP27Y6+PsloLU+klhXzszrrulzd98INobBK/xYOZ1p+9nnM2J77rv H+NqsDz+V2OMBWJ90VAENQM2w3PCR0jbVbFf/f+WUa9XfAC3czsdcWAd91L6XoY3hU2iFg3YZfl1 +Qp2irmQhpir1SqoLLP/l5zFm0Sc547y1Mif5mGHvHFgmyJoCUafaIt143NYwx2dZbIH0Hdv0+TY ZexxVu7EXCnPTTlV2UGXKjMNVXbKrcre9yxw2tf0np96OpKK5eqUV5b/lytIj79jj/ng8w8rRH6F xV8h4zf54LYvyq/x/cN7q8TE7Bm+VawQUiWX+1O2cXYhfziqHSzWxIkr/YhgRP+8/3KjHjEVH464 UA9a9cdcqf1rBF/aLX48xOzjxVmjsPFACl8W4//v8Rmb35vwZrSMVev/1xuvZl53Lv4/N09zI/In 93Wk749fv1mM0GTiSxN9vgHybYIi5/JC4fxZDNriWRLHtcc0/Bmb9EL6numwkGjy+Zsiudl/a1Pr Lux1vfa/HPE/8/mtovcXfEVH/DXhN4SnCL8l/I5wnHCC8HvCScLThD8Q/kj4E+HPhGcIzxJOEZ4j PE/4C+E04QXCi4S/Ev5GeInwd8I/CC8T/kk4QzhLOEf4F+EVwgRhUiGXvwFd/sHOAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABQAAHic7VfNaxNREJ/3 NmmTbbRxlVqKh1hEWqGlqBeFiqJVBI0fKVKQgqnd1miTbTdra5SCrVXx4+BF8CQqHkQE0b8gehAU UfGoIHoQ8aSCeFETZ96+t2xiK4kUpNIJ0915++b9Zt7+Zt72xfNFb6/fa3oHZbIBNCgUw1DjG2Oo XBlRgKAcKxSLRRrSUIvzMqfkJ2rhXwcxL/9M9oKFPwdi0AUZvNqQK28Ff5QG7AL+9SrxKVQ4r1Kp Fn+2ZS7jz+b7p7OBP3NPiLz7eKt/7qUdl1c8aXrM6EzJB9wxBrtgCMxqw/ZEB86qzd9AXQIKfzPm n4ZhjKMPDleNbyA+nYHq7KvEJ4o6IO+5zH837rwJWegQv8qlUeYfqAKf3lCP5t6rfSN/dRaQ1qId ArdW5+X/lS4YgaOQxMpPYR1ksA/EpTVaUVXGkE3+9SrlbXVd5s/yN/izKXMZX32/UzugHkDf9NSf Vf2HgXosQB1qBHUB6kLUeum3SF7n+8TclGVA58GJh72SDz3Pm2DqdYO41xjTdJ0ZpxLAJ1vAOOXg tRX4mU5Uo5lPdAOfsFH3A596oPnnGJNDqBbq4G/P+ASB9Zt2atTspxgU95jksvof81wUYC0aDRo9 QyZqFxhFu0w8JaaGubpzT2HxHynHJcRdO2uUY3XevAjHBerpC2BlTT00yTMTgSCPd49Q80jvR8xl PM2JwM6kc6g7N4ztcLfA/s5PFtwILxEoBDhEu1NpMxuLm2OxvVY6mYFbtz+N3UONdXwZO1I/ME75 tTG3plbrB9i+heTam1P2ywVkt3r2iwjZLbmwtO+EaZeGrEFTzSiEhIel7B+1wsNSHjxIHt32fs9j JRcetrJXiD1rsctzYlXlxMS7++zLLS5ycTyc46FS+wYrtTeKN5+YLg5OcSRy6T5rCOBKo37/0Htj xr1142BeHK/qaF3bw6mpde1p3mEJTk9IH5sZ5/d8VwVoiTYPpyD2udPWJYN0wTJBFckfQ/hK7JOM c57IZR0zDeOEQx13OZxnsgxg6oMB5TlqML3EN8W30zXbv942s46dOuikrEysL5k1O5uP4eiwlU05 WHnbM445aNoMu7emy7or+3Zfin92pg7aVtYacGJdI0eTYq017R3iKNiS8MZEsSijfQ18XXd/xB/V x0A5f95EBu7KmudQJp0GpZ6RtQDaUsGXbbm/4anCaWO8jB/X+FVRg1slzlPtZsSPe42/DJfaa0Ol 888ES59LHk8XZwm/vjXrW75+WTxDnIpf3IszL+qpz8PZV+vafn4R0sXoHhaESX6VhWaihydBOMtP Q0j7BeCbNPQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA== ------=_NextPart_01C92300.E7502050 Content-Location: file:///C:/C8725969/tadashi.files/filelist.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C92300.E7502050--