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t _ { M R } ^ { b } = ( t _ { M R } ^ { b } ) ^ { * }
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\begin{array} { r } { \widetilde { \mathbf { C } } _ { 1 } = ( \widehat { \mathbf { M } } ^ { 3 } ) ^ { \top } \otimes ( \widehat { \mathbf { M } } ^ { 2 } ) ^ { \top } \otimes ( \widehat { \mathbf { G } } ^ { 1 } ) ^ { \top } , } \\ { \widetilde { \mathbf { C } } _ { 2 } = ( \widehat { \mathbf { M } } ^ { 3 } ) ^ { \top } \otimes ( \widehat { \mathbf { G } } ^ { 2 } ) ^ { \top } \otimes ( \widehat { \mathbf { M } } ^ { 1 } ) ^ { \top } , } \\ { \widetilde { \mathbf { C } } _ { 3 } = ( \widehat { \mathbf { G } } ^ { 3 } ) ^ { \top } \otimes ( \widehat { \mathbf { M } } ^ { 2 } ) ^ { \top } \otimes ( \widehat { \mathbf { M } } ^ { 1 } ) ^ { \top } , } \end{array}
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\mathbf { A } | w _ { 0 } \rangle = | 0 \rangle \Rarr | w _ { 0 } \rangle = | 0 \rangle
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\mathbf { m } ^ { 0 } ( \mathbf { x } , t ) = ( 0 , 0 , 1 )
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\hat { \mathbf { D } } = \sum _ { i } ^ { N _ { n } } z _ { i } \hat { \mathbf { R } } _ { i } - \sum _ { i } ^ { N _ { e } } e \hat { \mathbf { r } } _ { i }
"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"
\phi _ { t } = \frac { \sum _ { i } q _ { i , t } } { q _ { t } } ,
"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"
{ M _ { L } } _ { \boldsymbol { x } _ { \le j } } ^ { \alpha _ { j } }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA6ElEQVR4nO2VwRGCMBQFn44NpIXfQlqgBVrAEmjBFrAEKAFLwBKkhFDC8wDomPwkMB68uKfMDmwymQQOxHccv3z/HwBwCsx4lmLq7CUvZ+jhTE3S2SorZ4JAJSTJHk1O6oEHllmMzcgFfxM7mHlg72NaLviB+3t4S8tIYIJ97XxaRgLjutqsjAYUVBkJ7G4lArJJ+oFCm1iV0RW8njU5qQasNlTlincy+/XUwmRk5C5Q5nszoCbJQcpQpgM9WpIsxZFkBfSBTAfYSENXy0CSbI11gfzgEP4XpusEqbZIAFAC+/j9V/kfAJ4ToLD5oc+IVgAAAABJRU5ErkJggg=="
0 . 0
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAQklEQVR4nGP8z4AfMBGQH1UwYArmamgcRVPxHwWo/7+ujiqCZoI1gwaaASyo3Hl+6DagmXBk09sjqCKMoylqGCkAAFPiJzIpm9WPAAAAAElFTkSuQmCC"
^ \circ
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAw0lEQVR4nNWTUQ2DMBRFD8sMYKEWsFAkYAELIIFZKRJWCauETQKV8PYBa1lLyt+S3R8g7+T1cAOVUM7lZP4L4BrurAVA9QkhMR1MkuYbaLK57B0suijpPE0RsJxtoKlPNhws2AHHCjsgKjh7CLw2Bd9a37pIhEYUw1pXL2LqJWvyCWa9GhGJnYcjPgozDaBt6jCOcJsBj1qNMoctAyIimuyIJCp/zTDxZUDjABdbz76Qrhe5H/QQsujJ6Ed4rP7hzzoF3uW75QcgNVweAAAAAElFTkSuQmCC"
I _ { 0 }
"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"
\begin{array} { r c l } { \hat { R } ^ { \hat { \mu } \hat { \nu } } } & { = } & { \hat { \Lambda } \hat { g } ^ { \hat { \mu } \hat { \nu } } - \hat { \chi } \left [ g ^ { \rho \sigma } \delta _ { \rho } { } ^ { \hat { \mu } } \delta _ { \sigma } { } ^ { \hat { \nu } } - { \frac { 1 } { \hat { d } - 2 } } \hat { g } ^ { \hat { \mu } \hat { \nu } } ( \hat { g } ^ { \rho \sigma } \hat { g } _ { \rho \sigma } ) \right ] \sum _ { n } T _ { n } \delta ( y - y _ { n } ) ~ , } \\ { } & { } & { } \\ { R ^ { \mu \nu } } & { = } & { \Lambda g ^ { \mu \nu } ~ . } \end{array}
"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"
\epsilon _ { c }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAbklEQVR4nGP8z4AfMBGQH6kKKkwImZCGLvAfFex+hyaApuAuA7oCNCvOKgnid8NZFwaG92H4FCgx3HN9T8CEUDxWnH1vzKBkjE+BCwM6QFVwz5iAgj2YCliQ2LOU7oXiVbCaYTeGPAPjaLInTgEAwWRR71btWVUAAAAASUVORK5CYII="
j _ { 1 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAANUlEQVR4nGP8z4AfMBGQH1UwiBV0JeNXcMPPCk0BCyp3080baEagmXCT4RiaCYyjKWoYKQAACg8I8fuhX/wAAAAASUVORK5CYII="
^ a
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAy0lEQVR4nLWTTRHDIBCFHxkMpBJiIRZiAQuxUAvVEAu1gAUsICFI2B4g7JJsyvTQd8kGPt7+DBjCdw2d/T5gRby9MYvfV/4Qa2nP5kXbrI3VIcaWIyIiwNV4VxwCMLHX0f7QAKcqTkBE04TmMI1XALLGla4ahIGokWUlAF9i77ia6vWU53Y9RdXM1XIKj9VhSik3fAU8MCtz4jkEdUy/AVoCBlLUDSrg9TkycDNo1Ekuzd0SMuXmPBL0J1RShHTTxAFs+i4A8/+32QU+9W+cSlM+w5UAAAAASUVORK5CYII="
F
"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"
\omega = 2 \pi f
"iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAAAAACPAi4CAAABoUlEQVR4nO2WzXGDMBSEl0waUEqQSyAlkBJwCVAClIBLECVACagEKAGXgErYHMBGYFAiezKTA3t5YyR983604IB4TW8vnj8AB+AA/AlApx+flxcAdakGSN8UOEv2HDDQT1YGWkjUUjxfgo6AMvKtwAJ0IS4i9AUE80s1aLrkVJn49rusAYTFPe7I6mHYE5lnD2kBepLjDDLEiiSppqUptkU1kH0m0W4BZmWSJPtMwI6MICAUSWWd2r7KEgBSmcCOnRiGFvlt+XEKazXJMppYIExMt9z1vg9YKxpzWw3a141dsnrgkQEAdLpdPZkzCCbljvMmrdZemTNopujwszmrh6s+A35ho7x4tIpPD1JpNLDymwOgtUaO4h7zcsy0WW5bXuK+Jckschuo2bvK16/L2GTjrmWxbIFbOZksQaK4q1039qLd2P6TrDdSCuXOfFMz4HpSqEUcu3ZvaG5iBy0ynLVvCvdiMvTkIGLPHthjlIAIf5igo4QI14nyZAmUihy8R2l5oTpD1ht+c8u6BzAdQt9v6wLwlP7Zf6QDcAAOwPP6BplvYF41UVblAAAAAElFTkSuQmCC"
\frac { a } { 6 } [ \bar { 1 } \bar { 1 } 2 ]
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"
\begin{array} { r l } { \langle u | u | ^ { 2 } , b _ { j , 1 } \rangle } & { = \sum _ { k , l , m } C \widehat { f } ( \xi ) } \\ { \langle u | u | ^ { 2 } , b _ { j , r + 1 } \rangle } & { = \sum _ { k , l , n } \frac { C } { L _ { j } } \left ( \widehat { x _ { r } f } - ( X _ { j } ) _ { r } \widehat { f } \right ) } \\ { \langle u | u | ^ { 2 } , b _ { j , d + 2 } \rangle } & { = \sum _ { k , l , m } \frac { C } { L _ { j } ^ { 2 } } \left ( \widehat { | x | ^ { 2 } f } - 2 X _ { j } \cdot \widehat { x f } + | X _ { j } | ^ { 2 } \widehat { f } \right ) . } \end{array}
"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"
\theta = 2 \pi
"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"
\varphi _ { i }
"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"
\begin{array} { r l r } { x ( t ) } & { = } & { e ^ { - \gamma B ( t ) } x ( t _ { 0 } ) + \gamma e ^ { - \gamma B ( t ) } \int _ { t _ { 0 } } ^ { t } b ( u ) e ^ { \gamma B ( u ) } y ( u ) ) d u } \\ & { = } & { e ^ { - \gamma B ( t ) } y ( t _ { 0 } ) + \gamma e ^ { - \gamma B ( t ) } \int _ { t _ { 0 } } ^ { t } b ( u ) e ^ { \gamma B ( u ) } y ( u ) d u , } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAvUlEQVR4nN2TQRHDIBBFP50YwAKVQCVQCVQCFrAQDbFQCamEVgKRsEjYHkhmIOykh1463Quw/PmPz4BiHNfpw/6PCfLt8hIEqop5RjpGhEWwqAUed4HBVTnNXTUpfBYsajUhdA6NgL2mQ0TOAqMmuKR9mSYJQe7JAcRM86jnHpGv3iJgKnF6BNnIzGxsMZ73CLIlYUSSBd6up0NsBcNKiqaMJlV4ANgEdmuY3TV8/+QGobdMC6bHWBbqL37WG3uc/6HmSibtAAAAAElFTkSuQmCC"
\lambda _ { 1 }
"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"
f _ { \mathrm { ~ u ~ n ~ i ~ t ~ } } = c _ { 0 } R e _ { l } ^ { - 1 } + c _ { 1 } ,
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"
\texttt { V a r } \left ( \mathfrak { N } _ { k } ^ { ( i + 1 ) } \right ) = E \left [ \underbrace { \texttt { V a r } \left ( \mathfrak { N } _ { k } ^ { ( i + 1 ) } | \mathfrak { N } _ { k } ^ { ( i ) } \right ) } _ { \stackrel { ( ) } { = } \mathfrak { N } _ { k } ^ { ( i ) } ~ \texttt { V a r } \left ( r _ { j } ^ { ( i + 1 ) } \right ) } \right ] + \texttt { V a r } \left [ \underbrace { E \left ( \mathfrak { N } _ { k } ^ { ( i + 1 ) } | \mathfrak { N } _ { k } ^ { ( i ) } \right ) } _ { = \mathfrak { N } _ { k } ^ { ( i ) } } \right ] ~ .
"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"
E _ { T } , \nu _ { T } , E _ { V } , \nu _ { V } )
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAABxElEQVR4nO1W3XGzMBDceNyAWlALSgm0QAukBCgBSkAlWCWgEkwJXAlcCfs9gGzwmEnsjMP34H3S6vZOi35u+CD2xWHn9d8G3gb+VwMa++dLPpa8sQOxet7AY8n3DZjsF+s/lrz7HTjCC4AaEA/YIs2rF7g8sT4YNeU0lkY68U1q4dJIrnpJ1AZGr+UbhRYuSStrfTkVjR61DT4vQHZoSZJ0JRM6RzI/zWy0I9mmaJeRHa5SjOxsYu5MnrJL0J6XrHPj6TyP24wcWvIAZJDpM7W+WjcArJ9JsAbImo1NzAzmCkBUN+XOGNDIQmpMnrajkAhfTHfATlNVe1P5UkjxY5gV089Yug1l2ajBbKAHAL+6vQpAUm4uCsTb8D040WUwmhKKGO9JC6mK2YATANrUy3DmY2XSjG2r4OMphRACkN66hN5LSNR0X8HHPp2dUx9U47zF4mXZIXJjAIBkCZJlzTXOKzaMazJyCwNvpFuoR5IEyQ4DB7cpfAnqepxe1QGAgeBrdQCvR6ZhWvEIwKFX+5vm+wRcuuBHALDadH+7/hUHALC+MN8JX4UjADgU3+lehg8CkNQM9zKwJ3b/H3gbeBvY3cA/rczgMmrrc2EAAAAASUVORK5CYII="
V ^ { \mathrm { ~ b ~ o ~ u ~ n ~ d ~ a ~ r ~ y ~ } }
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAAAtUlEQVR4nGP8z0BbwERj8weXBe8rGCtIlmYh1vQKhrNn35MhTYIPyt+RI020DzrIlB5UkTxqwagFA2QBWkYLw5bdZypRzwJKjCLKAgIFAhlg6Ecy+Rbc67xHjDKii2t08N7kfeddQcLqSPHBagaGe3BX33vP8H41bmkE+E8kQOgohwikMRiX45GGAUYK2kV79hCRqilJRe+JyZaUWLDHhbYWvKe1D9LTiFFFSSQTBQZxUUEkAAAJpXAkUxs8FAAAAABJRU5ErkJggg=="
- 1 , 1
"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"
\omega _ { \pm } ( k ) = - i \frac { \Gamma } { 2 } \pm \sqrt { \frac { k ^ { 2 } } { 2 m } \left ( \frac { k ^ { 2 } } { 2 m } + 2 \mu \right ) - \left ( \frac { \Gamma } { 2 } \right ) ^ { 2 } + i 0 ^ { + } }
"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"
e \phi _ { 0 } \rho _ { s } ^ { 2 } e E _ { 0 f } / ( T _ { e } \delta _ { b } ^ { 2 } m _ { i } ) \sim ( \Omega _ { b } / \Omega _ { i } ) ( e E _ { 0 f } / m _ { i } )
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"
A _ { C P } = \frac { - 2 z _ { 3 } \sin ( \delta _ { u c } - \delta _ { t c } ) \sin \phi _ { 2 } } { 1 - 2 z _ { 3 } \cos ( \delta _ { u c } - \delta _ { t c } ) \cos \phi _ { 2 } + z _ { 3 } ^ { 2 } } ,
"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"
\omega _ { \alpha \beta } = \omega _ { \gamma \delta }
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\bar { Q } ( x _ { j } ) = \frac { 1 } { \Delta _ { W } } \int _ { t _ { 1 } } ^ { t _ { 2 } } \int _ { V } q ( v ) f ( x _ { j } , v , t ) d v d t ,
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"
\begin{array} { r l } { \left ( \Delta p _ { 1 } \Delta p _ { 2 } \right ) _ { \alpha } ^ { \left ( + + \right ) } } & { { } = \left | \left ( \overline { p _ { 1 } } - \Delta p _ { 1 \alpha } ^ { ( + ) } \right ) \left ( \overline { p _ { 2 } } - \Delta p _ { 2 \alpha } ^ { ( + ) } \right ) \right | , } \\ { \left ( \Delta p _ { 1 } \Delta p _ { 2 } \right ) _ { \alpha } ^ { \left ( - - \right ) } } & { { } = \left | \left ( \overline { p _ { 1 } } - \Delta p _ { 1 \alpha } ^ { ( - ) } \right ) \left ( \overline { p _ { 2 } } - \Delta p _ { 2 \alpha } ^ { ( - ) } \right ) \right | , } \\ { \left ( \Delta p _ { 1 } \Delta p _ { 2 } \right ) _ { \alpha } ^ { \left ( + - \right ) } } & { { } = \left | \left ( \overline { p _ { 1 } } - \Delta p _ { 1 \alpha } ^ { ( + ) } \right ) \left ( \overline { p _ { 2 } } - \Delta p _ { 2 \alpha } ^ { ( - ) } \right ) \right | , } \\ { \left ( \Delta p _ { 1 } \Delta p _ { 2 } \right ) _ { \alpha } ^ { \left ( - + \right ) } } & { { } = \left | \left ( \overline { p _ { 1 } } - \Delta p _ { 1 \alpha } ^ { ( - ) } \right ) \left ( \overline { p _ { 2 } } - \Delta p _ { 2 \alpha } ^ { ( + ) } \right ) \right | . } \end{array}
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"
5 3 - 3 = 5 0
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"
\begin{array} { r l r } { \frac { d \langle q _ { j } ^ { 2 } \rangle } { d t } - \frac { 2 } { M } \langle q _ { j } p _ { j } \rangle } & { { } = } & { 0 , } \\ { \frac { d \langle q _ { j } p _ { j } \rangle } { d t } - \frac { 1 } { M } \langle p _ { j } ^ { 2 } \rangle + M \omega _ { j } ^ { 2 } \langle q _ { j } ^ { 2 } \rangle } & { { } = } & { 0 , } \\ { \frac { d \langle p _ { j } ^ { 2 } \rangle } { d t } + 2 M \omega _ { j } ^ { 2 } \langle q _ { j } p _ { j } \rangle } & { { } = } & { \mathcal { C } [ \Delta p _ { j } ^ { 2 } ] , } \end{array}
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\vec { Q } ^ { \dag } m _ { Q } ^ { 2 } \vec { Q } = ( \tilde { d } _ { L } , \tilde { s } _ { L } , \tilde { b } _ { L } ) ^ { * } \left ( \begin{array} { c c c } { 1 } & { \lambda ^ { 3 } + i \theta _ { C P } \lambda } & { \lambda ^ { 3 } + i \theta _ { C P } \lambda ^ { 3 } } \\ { \lambda ^ { 3 } - i \theta _ { C P } \lambda } & { 1 + \lambda ^ { 2 } } & { \lambda ^ { 2 } + i \theta _ { C P } \lambda ^ { 2 } } \\ { \lambda ^ { 3 } - i \theta _ { C P } \lambda ^ { 3 } } & { \lambda ^ { 2 } - i \theta _ { C P } \lambda ^ { 2 } } & { O ( 1 ) } \end{array} \right ) \left ( \begin{array} { c } { \tilde { d } _ { L } } \\ { \tilde { s } _ { L } } \\ { \tilde { b } _ { L } } \end{array} \right ) ,
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"
\begin{array} { r l } { \le } & { { } \frac { 4 d } { L } \sum _ { s = 1 } ^ { \left \lceil \log _ { 2 } \frac { N } { L } \right \rceil } \log _ { 2 } ( 2 ^ { s + \log _ { 2 } ( L ) } ) } \\ { = } & { { } \frac { 4 d } { L } \sum _ { s = 1 } ^ { \left \lceil \log _ { 2 } \frac { N } { L } \right \rceil } \left ( s + \log _ { 2 } ( L ) \right ) } \\ { = } & { { } \frac { 2 d } { L } \left ( \left \lceil \log _ { 2 } ^ { 2 } \frac { N } { L } \right \rceil + ( 1 + 2 \log _ { 2 } L ) \left \lceil \log _ { 2 } \frac { N } { L } \right \rceil \right ) . } \end{array}
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z = \frac { \log y - \mu - \sum _ { 1 \leq i \leq k } x _ { i } } { \sigma } .
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N u = \frac { \overline { \left \langle u _ { r } T \right \rangle _ { s } } - \frac { 1 } { \sqrt { R a P r } } \frac { \mathrm { d } \rho } { \mathrm { d } r } } { - \frac { 1 } { \sqrt { R a P r } } \frac { \mathrm { d } T _ { c } } { \mathrm { d r } } } = - \Gamma \frac { \mathrm { d } \rho } { \mathrm { d } r } \left ( r = r _ { i } \right ) = - \frac { 1 } { \Gamma } \frac { \mathrm { d } \rho } { \mathrm { d } r } \left ( r = r _ { o } \right ) ,
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\boldsymbol { u } = \Lambda r \exp \left ( - \frac { r ^ { 2 } + z ^ { 2 } } { \delta ^ { 2 } } \right ) \boldsymbol { e } _ { \theta } ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABAUlEQVR4nKWTQXHDMBREXzwmIAqmYAoKhBRCKLQQSiGB0ECwIcgQagg2hO0hlvRlK+2hOn1Lb/bv7oxP4vfT/PFOm6aPaf82AKB4wvsekCRlQOqAsM3XGtCDi/MSZwsA3tAXSZJJMQJ9+nLbnFOwFsDnegCmAohTUwBdd2yq8Pj0pe9hSbeNFWATOJ/XdJ2BEfAA3GdnViWtK7BI0uDiKklqC4U3YJ1smKywWOchKyTgC7hJ0tDbaDlFqsn7zesuxQQurrYWklq9ppzC1FT2HVfkmnYnAvMrIHrosPUdY85zslBfMVYfDfB4CSBJ4QLgbqHioQV4rP4p0x8FTv/+u38A5IIszoCxOuMAAAAASUVORK5CYII="
F
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"
( 7 6 , 2 0 9 ) = 1 9
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"
\mathbf G ( \theta ) = \left [ \begin{array} { l l l l l l l } { \cos { \theta } } & { - \sin { \theta } } & { 0 } & { 0 } & { \dots } & { 0 } & { 0 } \\ { \sin { \theta } } & { \cos { \theta } } & { 0 } & { 0 } & { \dots } & { 0 } & { 0 } \\ { 0 } & { 0 } & { \cos { \theta } } & { - \sin { \theta } } & { 0 } & { \dots } & { 0 } \\ { 0 } & { 0 } & { \sin { \theta } } & { \cos { \theta } } & { 0 } & { \dots } & { 0 } \\ & & & { \vdots } \\ { 0 } & & & { \dots } & & { \cos { \theta } } & { - \sin { \theta } } \\ { 0 } & & & { \dots } & & { \sin { \theta } } & { \cos { \theta } } \end{array} \right ] .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAlklEQVR4nO2SwQ2CQBBFH2QrWFqAFpYWpAdbgBasYWMNtsC04FICtiC28D0QLmaDHj3wT5O8l8lM8guxn/ILP4TfBRvyZDDSGVB/US5PLyncVZqRcgumGmhuuOXVArBMGwoVgAF4cHTd7pFuCutQfXh+E2xkqYDHdUN9A9AakDrwmsfsG0iqZ3EaY5Yr9opRKo5O/o3wBjDTbM9MuUf8AAAAAElFTkSuQmCC"
t = 0
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"
U ( \Theta ) = \frac { \lambda _ { 0 } } { 2 \sigma _ { 0 } ^ { 2 } } \left \| u _ { \Theta } - u \right \| _ { \mathcal { D } ^ { u } } ^ { 2 } + \frac { \lambda _ { 1 } } { 2 \sigma _ { 1 } ^ { 2 } } \left \| \mathcal { F } ( u _ { \Theta } ) \right \| _ { \mathcal { D } ^ { \Omega } } ^ { 2 } + \frac { 1 } { 2 \sigma _ { \Theta } ^ { 2 } } \left \| \Theta \right \| ^ { 2 } : = \sum _ { k = 0 } ^ { K + 1 } \lambda _ { k } \mathcal { L } _ { k } ( \Theta )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAnklEQVR4nO2SUQ2CMQyE7ycYqIVZ+C3MAhZmoRZAwpAwJMzCkMAkbBKOh5+EjaTAO9xb2y+9XNOFeK/dh/mvAPux6Jd6hQQ/EXyqCDRFBx16HIGMI8kEaQbQMkk2oBjApgRnWZAkbyLFBpoeJLSpNd+ho/fzqVoxtyUBq5XiIUE0LQAAK6phEQNJ0pl3UChJhbdi5hXOu5ecy//tvwPumYVEuzzMf9cAAAAASUVORK5CYII="
^ 3
"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"
h \rarr 0
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABJ0lEQVR4nIWTXZmEMAxFD3xroBawgIWuhFrAQlfCWsDCjASQQCUwEloJ2YfSP2B28tSS0ya5vXTC//FVluH5GqZ3wOqCW+GaP4DwHXfqCvQxIYsB0DdNyBEewMslujxFB8q/KwEEYLypkAH3CViB4QbIQuUSzr3Q1Tip2zGuH7GMsul7BoBRvAFj7QhMJ2ADjB+xXkRkAn5bYAasZj62AyjfABbQ6VTczg2gAUwWeAFsAyhA7Q2gRUTkECoEYCpCubOSDhq7hKxrX4TWldKO5J6+nKjdspKfrghdWpQHJPeQhVaVjXTRmiJ0yW+UC/vcU9XiTz1zVnbJF1hgSP7lXDO+m9qkARQMyuwiIrtp8gcALJtinKwG0NXECTAi3kbt9CxVdJ9+/z8PRIhzd1EqDwAAAABJRU5ErkJggg=="
b
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"
S = \frac { 3 } { 2 } \times \frac { 9 } { 4 }
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\sum _ { j \neq i } \frac { 1 } { \mu _ { j } - \mu _ { i } } \propto \int _ { \vec { k } _ { i } \neq \vec { k } _ { j } } \frac { d ^ { D } \vec { k } _ { j } } { | \vec { k } _ { j } - \vec { k } _ { i } | } \propto \int _ { k = O \left ( n ^ { - \frac 1 D } \right ) } ^ { O ( 1 ) } \frac { d k } { k } = O \left ( \frac 1 D \log n \right ) .
"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"
1 . 2 a
"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"
\frac { \partial \rho } { \partial t } ~ + ~ \nabla . ~ ( \rho u ) = 0
"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"
U _ { 3 } ^ { \mathrm { B O } }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABnklEQVR4nO2V4XGkMAyFX26uAbeglKCU4JTAlQAleEsgJUAJUIIpwZSAS7BLePfDLLDLJrmb3Mz9yZvRjC1Zn2UQ5on4mn58Mf8b8C8APw/jGGE0yoNVq3MC7GF6V0FumojxpT+n5yYDyJeXKU/PFwCxyXuUV9VCkt7yXkkDyaQ2kQymJemrLboDUFLdCeBqkrSSDvtodwZY1EM6ZZOUjqTHmuJAkm4rYQekGoC2p/wFnmSNFV5jx9wCyDQ4wfEIgyfp4UlaWX1aHtUZULZOIuSwWjJuB9hrPe4dgCklakWGrphTkgzwJJ0hF9cuVVnXbnl7HzQZQB8d5lEwjwKMAwCoyQAc3uIr4vPkDQBkPXWilVeL2QSBjAoZFXNXGq6aK8CEy6wS7VQyY3VuJDL49VhLsetrkERKS/rAwRSXbi/8CLhyTLHdUSdqtZDsTEeSqQpb8PgxrZq02CZ1sw39WzZRgwDA1Jkt+AAQtdguEaA+zKvD+MF9MGuxP9MdYPyVpzzm6WaTD/V0+1/IfZaqz1K/s/xTwN/r/1+q3wDgN8qgNmr//MJsAAAAAElFTkSuQmCC"
{ S _ { j j ^ { \prime } } } ( Q )
"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"
\begin{array} { r l } { F _ { \varepsilon } ( f _ { 1 } ; x , \mathrm { D } ^ { 2 } \varphi ( x ) ) } & { \leq F _ { \varepsilon } ( f _ { 2 } ; x , \mathrm { D } ^ { 2 } \psi ( x ) ) + F _ { \varepsilon } ( f _ { \Delta } ; x , \mathrm { D } ^ { 2 } w _ { k } ( x ) ) } \\ & { \leq F _ { \varepsilon } ( f _ { 2 } ; x , \mathrm { D } ^ { 2 } \psi ( x ) ) + F _ { \varepsilon } ( f _ { \Delta , k } ; x , \mathrm { D } ^ { 2 } w _ { k } ( x ) ) \leq 0 , } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAs0lEQVR4nO2TURHDIAyG090MxEIs1AIWsFALs7BJAAmdBCphlTAkFAn/HijXsIPtfbe8EP58l0t+jgH0OU5f6j8CnN/u0SdO1igFVVwkAI7CodTAxA8AENsBZnIAAMMdQCSfRql6SB/dnnF7SEtbTti0Oyx8y0mSpg9r2X+hNpBICmAPVVm90m7gfZQmkAoYJ2oCJbxoQK0Zso9P/RK1k2wAbKNDDwhsw9XMVR3D/18QEdELl8j7HhaNZt8AAAAASUVORK5CYII="
\theta
"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"
V _ { n } ^ { \alpha } = e x p { \frac { [ p ( n - 2 ) + \alpha ] \phi + [ p n + \alpha + 2 ] i X } { 2 \sqrt { p ( p + 1 ) } } } \quad ,
"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"
0 . 0 3 q _ { j } ^ { \prime \prime }
"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"
\cos ^ { 2 } ( \phi )
"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"
\tau _ { c }
"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"
\mathbf { x } \cdot \mathbf { p }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAzUlEQVR4nO2SXXmDQBBFT+KASsAClQASiAQqYSMBC4uERgJI6EoACUHC6QM/IX1oX/qYeZu5d+ee+b49ye91/kN/GY6G+XKrPkhVN1zfEt3lNlTv8+ZQbXsDMahSx6j2tC6FaqmBUtUsC6rj2uoZIIeBCDDPBICJ4hgxeqdQ9ZNG1UB83jBQApDWl1u/n7kJaRGmVOTHCC24L8z5mtDq1+OKHaFfEXLujs2DYY8clqQ01RldfWD4gQA581QeGMrsCcGmjs0y8fT61f9k+Abp37oonQqt/QAAAABJRU5ErkJggg=="
m
"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"
\delta \boldsymbol z = \boldsymbol { \tilde { \zeta } } ~ \quad \mathrm { w h e n } ~ ~ \delta \boldsymbol Z = \boldsymbol 0
"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"
d s ^ { 2 } = b ^ { 2 } ( \tau ) \left [ - d \tau ^ { 2 } + ( \delta _ { i j } + h _ { i j } ) d x ^ { i } d x ^ { j } \right ]
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA00lEQVR4nOWTQXHDMBREn8tAhfApiIICQRRMQRRMwYUQQXAh2BBkCAqE7cGTOI4d99zpnjRfb3Z3vkaNONfHL/d/DpguzecXwDw9E7prdICrkq5WH1M9HOaLDYlbBqb5yKF1VQpESbFdDXQHClFSD1WVQfuIjAERMjmEg4jIVVoybNRBhFt8O+ieG6wAC1DAlQ3wsknzeDtddeD7dgbMGfJ2tOlQfW/Ym5JJqr5Tgl7SuAdC6a2VKrihJHsFHEArSQnA7Rw6cN1y9BDW927+3b841g9OPyaum8I7ZQAAAABJRU5ErkJggg=="
\alpha
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAf0lEQVR4nNWRQRWAIBBEvz4LWMEKViCLGYhgBqtIBIkgESQCnnf1LQdO7I2Z/5YZGAr2jBW/U8B7JRQ5u1b0hoVNCkPzS07idCRwzgBCDkhfZ37gNltE5sUMGVntFqkGfDeokJ+MRQIns/JVi58bJJBrQISQrZAAl8zQ/t1dAC9iOqQ9ReiPZwAAAABJRU5ErkJggg=="
i
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"
- 4 \sqrt { a } + \frac { 9 } { 2 } \sqrt { b } = \frac { 9 \sqrt { b } } { 2 } - 4 \sqrt { a }
"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"
4 5
"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"
{ \hat { z } } \times \mathbf { E } ^ { \prime } ( x ^ { \prime } , y ^ { \prime } , z ^ { \prime } = 0 ) = \mathbf { 0 } ~ ~ ~ ~ ~ ~ ~ { \hat { z } } \cdot \mathbf { B } ^ { \prime } ( x ^ { \prime } , y ^ { \prime } , z ^ { \prime } = 0 ) = 0 .
"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"
[ 0 , L ]
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAc0lEQVR4nGP8z4AfMBGQJ6yABcHcw7Dn/dmzDOUdOBS47iFgQsd7hrOd7zFV/EcGqxgYGMpRRP6jOtKFkC8ECSnAAkYVjGAFZ6EYp4LVDAwMZ1ETLiM86519f2/1HgYGBgalNGPkxAlPvigJFpGqGWmfeQFTcUWHyyRFaQAAAABJRU5ErkJggg=="
1
"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"
- \Delta \epsilon ( T ) = \delta / R = ( 1 - \frac { z 0 } { z } ) \frac { k _ { 1 } t ^ { 2 } ( 1 + \nu ) } { 1 2 R ^ { 2 } } + \frac { \pi ^ { 2 } } { 8 R ^ { 2 } } ( z ^ { 2 } - z _ { 0 } ^ { 2 } ) ,
"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"
\langle P \rangle _ { 0 } ^ { \mathrm { r e p a i r } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABGElEQVR4nKWSUXHDMAyGv+1GwBRCQYNgCh2EUPAgpBA6CCmEFIIDwYWQQvj30Lixnd51d9OLbek7SZZ+VNvYHaIkaQp3B1U4eQAbYvQMT4BAYdMOiEbvNmBpgQFMGoOtgFoAWPuaRr8B7+zNH4rHA5gBKwKuBW6FkwJ+VqKyB3ApvZcnwMsMfwKu/wZelpjX88j2kQq4/ADcvs7dRj8AD/A9w/zZRStS5GUuBuBicKM0AH277nTfhCVJE9DtFDUB9EsWB2mnyYGsVBlZlB/FJ5wbfb6CWd2kFLKQJXlcanpYDmBLfhmxEW00gG7NkTipBk5ZbX2SlCyoBpaQxoyY93lIzaA2sRfxag6T38f1pnKd1/N8w4bS9QuAwJnOvZ8oUgAAAABJRU5ErkJggg=="
~ { \mathfrak { g } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAZElEQVR4nGP8z4AfMBGQp4ICFiT2HoY978+eddmNquI/HJRDBFz+owAGFN4qJQwFqG4IDSXkSCWKFWCCUQWDVsFZBoY9eBXcg2IkgJy8dpczMDAwGK+6iz1NlmPVxjgIsh5BBQBkP246TAVKMQAAAABJRU5ErkJggg=="
1
"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"
\mathfrak { d } \mathcal { V } _ { l }
"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"
z _ { 0 } = \frac { 1 } { 4 f _ { M } } r _ { 0 } ^ { 2 } - f _ { M }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA1klEQVR4nM2TwRGCMBBFn44NYAlrCbEELCEthBK0BClBWrAELAFKwBKkhPUA4oJBD17YU2bzsvl5M1kp32v9Y38RwGbauNZ4Nz/huiucy4ps+26prSNBVR9i2iPgTNpzEgUaKFVVNRCiQHgdFC5RAI6vSc3QNK+4gesXIjPP7ICaNOpBQPoJ1pTJkFJ1WU2EUcgq8aqNF2NhFBJXstufQmojTFR/WJio/rRgr2izHIACJ9ErPEmXNKk0OgEC3E+HpLQWWA3/os1rwDk/cmuAmVrCv/gfeAIMRSwXV166yQAAAABJRU5ErkJggg=="
^ g
"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"
\varepsilon = \left ( \frac { 2 7 \hat { A } ^ { 3 } ~ \lambda W } { 2 \hat { H } ^ { 2 } \hat { S } ^ { 2 } } \right ) ^ { 1 / 4 } .
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8 f _ { 4 } ^ { ( 8 ) } \phi ^ { i } \phi ^ { j } \phi ^ { k } \phi ^ { l } v ^ { p } \left [ \delta ^ { s i } ( \theta \gamma ^ { p m } \theta ) ( \theta \gamma ^ { m j } \theta ) ( \theta \gamma ^ { k n } \theta ) ( \theta \gamma ^ { l n } \theta ) + \delta ^ { s p } ( \theta \gamma ^ { m i } \theta ) ( \theta \gamma ^ { m j } \theta ) ( \theta \gamma ^ { k n } \theta ) ( \theta \gamma ^ { l n } \theta ) \right ] ~ ,
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3ojygN7PJZGIDosDMZj0iMhgA0CFNBiO4vohr+SWAIi4xpMFtEKJHksFmBh5Wq6qqgAFA6hbrG+vPfee5qzeuishes/fO++8cPnZ0bbYGgOi+HKCYgAIimhoNWqs/AqJmGqrazFSzavFoBQC0P2h9OkBVDQiRnC/C7LfnGLuNMerieyGwqjD0sVA5idA/+3JNindlIxJPWTfofZRH3KNy9IaLjBMWfqRARJ17UdQdAKhmAIL+lrgokPFm9TfgYVhqx9baj2Mf4g2P3CtJ6CX1W/tezkt558gQW4lFzaxnGARW1cjRVaKBGIKiIrAhDkgPIGJw7yCMsp6eA/DID4dwR1XdaysL7bq1YNfFQS7r699R+A5lUdwHdOXF4MSQ3q9XVdMsWdWAmQj8CVUBNSWOIVbTeZMebs/NoEuwtlYxpAsXLvz2j36rquq0l0Q0VrxYtCGQmgAwEXEICDTfa2/dumUKiFDX1YEDBx577DHqMz1LR7vceXmVTYoxlGcvPoGIcMXFUfDsoxtvHLL1ZbmLYcA+oBFXbb1pIxNNrrJ9xZxtoKoAimQQbFLP3AyYGRPFGAu50qOZkmh3hYLAMPLQ/fyO5amwgcrJcc/AHRcHHgvGWLLjqspMzCzap9tHn6ISqZenLsejxHkwsBzA+oizgA0uHoGW0VU5JH4zIzgBxl8BA6xXzHk55P4pGBl1f5wBj+mBuwJIjA18uVsaUmu9QLPv0SPZxKLT/YbdNx9nFv1t7sJnlXGEZ0M4O77V8sGu63w7/MA7JgGEOChNg0HvDE9XpNT+RfhYzuM4zenvceUEAAjIxAYKqEjoe+fhOz26OOXlskR9yhDMDMZqsTdyy/jeVY3nwkSz89H898UxWip0sq5LS20TGDEQo5kHokKeXEPKORP0LA3o3aGlhIyXYixgAOAgatGtMPg9vsKBGRGbphORqiJVHSLafj1V1QFgWOZ0lirbRrdRVDwPdNoib2XTAYBwyTYYX+FbUleuaSOfNYuIiCIQ9em8J5544vjx419f/Lrpmnv37rXtYn1lfRTZo6qqacF0ixyOZaaEK+UN/d6aQZ+gXFqBknKCwQlwLBqBiz5h80wB+78iomPEGwFGyfJvHcyyLOOQo9ztWOX6Zwc9uXw6vzANSXEdcpp+A4GDmWl/frF8akji4HJfRqSlRxTIcCdjZxrRQeTeaOIQSpXDi0MUWiQBnNJryzMLhKqqSXPOdV37e/yaiE6WgxEpBwIBV6H2nMF4BQfRX4paHy6nXPS+GbnCE8kAOhY4VTUTM3PynYIAAhIQoyVFpJS7smpmFmN0PZtTUYvswZ/7diKCHAJXiHrnzl0wCAw5Sai4bdO8beqV2q/QdG1KCSDEKlRVZSZdSmBoZvP5PCWIFYwVPXMl4nnfJU5bRFyzmBkCBOI+T48WAuU2I2K2bGRVVZU43vfVWbhF2soL0RDByERFTcXM3ylmTERIIjlpZ4qBEBElt6poIO56I2HTdQDEFFU1SWdplGoDcO3jNBMwBGdQDNphkKqeOeErMDbSbpk8lFRVIDT0jV0qyrFoju3i+FVOV7nU0m4xDmgnugEjIqQwXqj+tBggIhAVxi8OVAnu6aJIo4xdb2CQvnWolnpnhCrhYA7HUJiHaC7q5SbL+fHcBw0p/7IUvu/+Wc1mfXBJPRmYgCLnpKYG1HtdqjqdTt3Y48iwQY/AMw42pmifXtm54gMDs6wiqS976Rcc1MxQcex1mRkhhlHJwLf2aGxcPcELBZEmE1UOhMQeOxMFBBYRQ8eoXcRlUFWYcy8YS7JkQR4Q+7QXen6BAYy5D1hVs0gmCoBKTKIQ6wpMVJW4j9dVMwc0A2YSEUJDUwA2UMQet885E6DkjAxEISBlAgDgQac5cUBEERHZte2SWONbGYLvuNMUlAhUjQhMFYmYIGfRnAgKoRUQQcTTKxBjVMsckJBVtes6F7mRDwej3JNL/jKq64+b4wpmCIZ93to/kt31DSFAn64vZLFxwhuQwOltAJZSR0SxjhyZA6vqw52HN2/fOnL4hJkXMGBPwUZARgYyM5VULkgMRJRTAoeMCQG80KPPXuEy/hYAIEBTE2dr9o6Xl8YU+MQKJwBKlIWGHuRBj60O2seQHEN6xLTToznTco4A1cDAHoEQbJm3EkRSRVXN0tMwtQcae7Wdc1bFqqr83WYGoIjkPImSMXGXzEruYzhc5U4UFdFSal1LwSipVNTUIBXL1JtrzkecBgARqWNVUt4UPJK0EluW96sqoHpJS7EOoSy0v4oBKMoOhxT7cGfox7jEQOX3RYMPynT5AGUbxjvkS1/XtWMJOmCbRJ4iQOe1EmEIgQIDuMsQHtzfzgLTKqhKPVl76qmnYoxN01hO/YrUdRX6DDtzyGoqfU1dXQMHXl9f/+EPf7i2ttal+cOuZXZFRoZ9Yk+d32fm0I07OszcNPPygIiIgMVe4qN8riJeMAoKHfsqWxsj5S6b9UiPgVEIEf0Mo6p1nXNZOQQY5zVpIDyGQCZaol6/Kd/gnDTnbKiRIi2JCDSo+B51GAedJVwgopIv91JDzyX7mx8hBzzqa5enKzn4YmMGg9SvnEuRrx4ATCYTR61LPOS4kUEP+hXnifrka2zbtiQUy1IXX5hGINPYgymqUEvlUs5uyIvkl+R9sehFv9go5vBlFytVeblAI0X9PeI8DdRI/72vsA1+mD918UGt54It0yglU+43425i0XTjgNUGh9V3zU9r27ZmFkJJqVrhELgKJiIYJZUBgIlS24UwCQFFHIYhIkupKBFDRIIlA3mIeJaZgv5qw44gonsUvWHzj1Dve8UYus5jERKRrl14GODFsbCMMnuOuoEAMCKCgUjPaImxTxG27YJrBEPgwuV8JDWOI0oNU49aDZ4JFnTKzDxBlrOUtfUzC8TYk9PRwWq/fgFHXU+6lhsZGxgvkaoWDqkV4ND15LBHoxi6FwYicroo8yPVKEUIiQkAdID0zGxlZWX//v0uybu7u+vr68QgeaDjDFE4EWnW8VqVAz6cvp7Ek3N2HlnOEkJgWlZ/9XSRESlkEK0le6O3II4TjH5T4kAPOZZfDd9WWePdpAGDgUI4VRs/QrmZ8jjlOPu9FcJKUemlBG58Ws2sFBu7Li2a+VuKoqga6wN09GNVzsVAoFbf0FLra6OAHkY+ug6JD0REo5yzG4+xris2iEqU7ws4bCR9C70eDDkgsojl3OO9yMCRkKhpW1FNOYcY1azLyROQQCiWxTIF5hiyqAHWk2nKokMm+1u6uMiriETmKgQVG5RUXYyQZAOg3d351ta2O74rKytnz5598Xvfc/0YQgiRZ7OJY9jIlCQjky/ffD7f2trKGQCNGI4ePeIFh4joxfGIGDgSctu2xeTHyJNJJZL8vyEETNly0hRCxRybpouxzmoUotsef8xyJEZxmxXeSn/aY8BSJA3UNqnrshg1nXQJOcwA66yINOU4I4wAwQyTWifZCMUQKQDyvFkYAgWkgAqSNSkIjtbZhhS1i1FVVX5jHq2OXBBOqVcWbplowK7HZpWZI1egfUhUwOdySr1nw3iLZahiH7yNpSD647taH+d9bMgWFWXn9ywjDYhDX4RyQZelQvKnoTap6zq/lP9pMpn4pUIIk8kEhxgah7per3YtSqeua69b8S/yjGyMMcbavSAvMi4Avg7htaqqZY/M/GaKU1j8g6I4ADSl1mMmIlDNRCCSzEQk5dz5DzFy+SWi+TvNBEBFE6AD75ZyC6gA6n9CNEkZBwx2Mpn4hjrTs/gN/miTyQSMmKMZihhhoFBhiEaMHAxJDAwJiBVMTJNkdW+1rhUMCP33hhDrqqcNWRbtubdmknPn/opIAtAY2UyQodS/EUdzekofUSgD1iGqZm84gYi5S2gqmuu6BhNGyLkjAiKIlXcQaVVz1zXDEvmGZgAFUQa0LBUHzYnAHLcrGn84FGgmKXlUIG27AFDiXrYXzdy3r+saX2ozrx60LJ1vR9stUm798dXycFkA6KltfRXTwIT3qp+2bYvFFRHf1iL8IuLbmlLrXx0C+Yb66R7bG6/mCCFMp1MY6m9zn7jtsmVgIAYO6KIFYACeZfd7EbftBmIgTgqGPgZFMwmBVHOWRIwcCAkQjRmJYKBeoUujW8z+4iBZOpdqQA2xP+WgSgDMxExoRiWKADGQogp04CqWRHDRNn2vFNQsHTGESMVj8NVIknuJZQTsgV63tTgqi1cT/ysMnjoRxMheDEUDKvatGOORPcoS8JGAoegxN+pjT6JEF66avABYB+IeMxODaKKAQJZS6/JcHq3ERS6QIgKiqEYGqBYerTLqOaUjnSWD09pDCq4UYlX7B6uqevjwITOrGlV9Em4yme3ubi/RBqLhXomGjO9YoRehdEXcM2bzUqxDrJjjohXJcvfO/Tt375kBMrdt+90XXzh58uR876FqTgJVHVVsNps1TcNUq3bzeeMH78b1W7du3RKDnNXN/Pb29mQaAKEgtI9GiuIta4qHZUNtvT+4Dq02cs6z2epkMuu6Dq33TF2PO6LuFylWPwydAETEyw38DV2bmOu9RadNc+/e1tUr16pqknPXtIunnjp/5MihelLt7ewE4smkAkA1WVmZNntzZvRSlrG71juzzDgEhaq6WCzGsuWHpMTTg0ugzkFzM0CAvtdEJYLpwTFmVs3F0y+RUDkDLkUFBDKzkhEs8c1Icz1ChuhlYxSEFZelSCkNCEfxDGwIywp+Ve55FHP0Rbd+HfcwChRR9IgO6SoA6CnEQ0uAQmUAAAo8mUz8ajw4HOWDnrcevncZAbuwiQqPiiZCCF3XlGUpT1QexCmlRb84iDUOU0Sk1HwU16pgCQB9UsaR9bL1Zc1hSNjRgI76ynCoVKHrcuAIADHWIgagOecQSERXZyuuKImg6zpVqyruU1Qi5VLOmsy6dODipCfn9saJULOoqLeR8XhDLTO7gjIQyDn7/Q+rASJCHESzZmVmMM45ecVEFWvTfjtswFp1qD8cRxq9xrOBnDiCrMrKlFV1AVYTVSyYgatvj7ZtFFH9dzYUlzE6wDKd5DCvL5d7YDYqzu71sC0Z7GMtOkjmMrodf7Vn01V1ZWUlxti0jaru7Gyr5m/RaPpTPLSR+dYi2ChnD6PItbyzYMDY18T2xXi9OiKyPtuiqjrqawBmokqS/bnUjG0Ur9NAYHRFUc5+6jpHUApmVravLNGwHUv+wXhlxns6suhLbpaq5sE/8w/q0I7Jf1NCoJyzM6KKwDCzyDLF4JEe2tKaYOGuPloF4DdTajVHiZJRpO6GaRDd8lzFYKnqEk73Liz6aObAASQYYjv/DRGL9+gRndQzZ4Qh8nzedF1eX5+4BKROOFDTNF7+O51Om6ZxXR9CYE9Ee3HUqO9BuRsiyiKeekJEp5sBYTXoo8WivXbtxnzeEQGarKysmJn7B91ijiEg8ySGnLWupzlnVzdtygCwtbN7725X1+BJ63v37m1szFZWjxCTB3kAkJqkqqEPanu3A0bFEsWEhFAx89bWtpkp4PbObl3XROy7VlWVWevOb+8T5CQiaH3ftGJfu5wCV8iEFCqKbSM50eu/+OWXX1x88GCvSxACIMJvfvPB+XOP/+S3fzSt4k63SwSHDx+uYjXfa83ACa6OcS2lhwxMS28vGwXTZpaz5tzzKmxIrovIIMToom6DY++ykfuGeqE4m4js7HcXNhcnt2QuXl3XqUnJChmAmsG43MNQ++L1JVQFowZwYIYEjOQAMBoRIKihQSHtq6oM+FVRUsXHGiWhemNWFoSGjgXu2hd/xW/GqeAwcMJHZ0SLk97fhkHkUMB8GfoWdF0zUvQ9qaeoAxqqustq9MTVodGYqhKgIY2hfv/eISxYaqFBoVjPjAMAUERQEzPsHTiH98mb8/RPkVIKobLBChb/xpVFzhkpAFAVawDa3tlD7FZW1tSsnqyqKiMvWkFEQ25TrqoKmRZtl7PfMxbPiWgJ2zJXzGyDKhSRpmuZ2QyAGQOb4wbMOXeA4IkPQigrEwLlnEOMIp5/A2M0r8BhAFMA6iQxBUJCtJQ6ZjYkDmjqMKlLy7LygsAIjEb5GkVP2KM7TtqzkYZUWjYAVMnitdGqIv0Zwb7PCiBC34SAwBMBak5rXVbk93UxQ2U/DoEgDxnPIr2AyzYk5Z3lNeAE/vE86AFjpslksrm1lXMXAlUavIWXqsbIZIDmLe8GdhgZmBFycX8NgYhgyDebmWeFnQjpZQJqOrImCP0SsNeID7falxk7gYmZgMBJD+gHCQaR9hXuazRcRZg/ESEQGJjg8pNgrqjdyDH7hfwHP31myhzBYKB+23K1nRPg0tnfhsnQH7N/XvUaDwEA87aD4C1DiAhEwLz8ZOi65mGhCz8RkYGZoprBkplf4ngbInIY0WaLI04DB6ivsB+5kgY6jpuKVJCBDk/X2yzXYkO6FIqLsVgsSitNz8r41+ec5/M5APkHb9y4cePGrTNnTh86dAhA67puFu1sNutSw7yEkoqGKggDYx98lFRccc16/AGAOUAAMTUzAUDk1MndO/fQYDoNADBbmR48eLBtW0KJsXYeDTJ7zEFEKtY2nRG3Td5+uOdPXdf0zDPPHD16dH29ZmaTjEPFOQyQcnGUcMCoi1EsTpMqxBjffOvtDz/8GACOHjn+27/z4/3ra67uEdF9iDGSQUMb15RSCP02p5SIggp2bd7a2v31b95+682P2hbqigiVkJFsbzd9+snXN2/ce+z00cmkevDg3r7967/zkx9vHNgXQq2aCczrXjyVXGxziULs0bKN4Vl6oS/guWd2YOD6qSov2xX3vGg3DCUU1lGOqgTQ/vumaczMmZK9URldZ0C9lomoYk2LQhn/fpDjJetYB6pEMVSlZGuwB6GcFhhc5uLFluuM/JhlaFU8Bjf25blcPsc3Oebb56GMs/wLo9cgBX3OvrTgoKF0qnTuKyreAHPO3hC3nKZi2nN2hbKMMLRPH/Q16MWN7pNKeRnX+vM6sNQv9RA29RqKXd963IBNm65cvX737v0m5dWVtbquJ5PJ4QMHQ+SVlZWu7ZixribDilVViF1qRJYcIl8coJEz4YVnVSTSJBmAFChwUIXpZKpJ23YhqjGy9iVhqqpIfc5Fht6Ivp5+WQQaorQUQuW62x6Nqm1UuOGfKsHTeMtsIPovdevI5yOyGKN3YoYRndm7Anxr38cXKS9f2LLmoyZgSys+vkI5vOMGvThqdTe0vEUiEs0APbmAmZ266z1F6rpm5ocPN0XyqLjRL0IIjD19boS39RUHOLpzyDmj9dnAXlhHC+jCXmJpPzsq/QMuT/qwqiKpHkq7AZY8Bh2KIVWXYJ67iQWhwVFMX/aCRlHv8BVL3LtsctFgRZ/wwFqTobgJAMa1/jll6svFlilvGoDbgH2qaLw15fowAn7wUV6wq6+y7zriGA2feuRqAGAj/VmMPYxc/3K1kHPHzES+XrFon2E/KISglrM4MSEnFQG8du36m2++eevWrd3d3a5NBw5ufOc73/n+919dWd8X6kpVDZlCtWj2vBjWCA2AKXjbfF9H6jkUYAJSKivIPD00LFPwOk4wIqLIYXt7u01QVYAgdQzTesJEIlJPqtw2zKFtWwQmDAiYTcXYMuasbcpZIERAxDNnTp88dRwste2inHlVJeiRHFeDHp8VFTAAPpBSMiQwu3tv85evv3HrVkMRLl6617bpr/7yj1fXVqTvTxfathVTNQhOQEXkGCaTCQ+t14GQORqSCu3M23fe+/DN33yoAtNZbJsUQ59JIqC2ldu3H9y+/QAQssL66vVjR09+98XnV1dnaibagcc0yOCGijQM3cVtGF4wRH7kdC0vg2Eey8fyeUFDCXB1KCcbqx7VZZWODq8BkIRCM8k5AUBd11VVqQGi02AVrK/F+pZ6LafChhh3kFca0IFlwQgs4bJlh5PxNf3AD/vovrznRxURnYfB7HzS3sa7H5ZSElE/4l5YHELwhi1h6EBl/wLgxQFsHx6IS1w7HNelymYgUQUzVSnrWVQVmhPLhoYBBgrmWpuIOslEZOrOigsw9K1trXc1CIiQBACgj2KHVIJXH/GgvgnRiBB6f1/VsoER9dUZgIwYtu/e/9Wvfv3gQRYDFainECMz0okTJ06cPHbkyJF9+9aIAqK3v4VOVIGYbNgRj24JyLksIGJGlNVADJERTREQWMTUrNvZZQhVNSVJpoLAiIxDRYNrJ+aoI2DW97G3B4YUeFJNc84AJpo5uqduKXVVNTEQ6Q2GEgEaaJZY96UfROQOrW8HiJFDDYBOCVTNquStBQB6iAVGFXfFCRvb6SKf5PUyg9SLeKk9AIBaBjTEoKrSn+VHCC6OvnpvQUAgpuJ3BiBmds4EiCMBWIxcDIGGlBkhVjFG5kCoo94qBEgEjt5pqTfrzymEED0GcAcO+1IMAYgiYn1FEg8C74JpiBERiUBEDQyJEQGH+AR6L9Y9MjGQwbRnEeubQyggIrng+l9HMF7xlcth1G/BId+uxaflYhoW5x6GnI4NqfTxFQDBrC8m5GDEoLYs5DFDZk6pU1VkGgcMwxf1cuXkUxxITkUzwMDdKVHHEBKQLNs6LX3N8Q+emO+RKnVRYUI07CtQACB8SwT95lTVc9JDL6rlGJvt7d2rV6++8847n336eUoWI8YYr129+eD+5rVr1/7sz/7s7NnH3Fjs7Oww95T4EHrnseu6CddlM9yJwxGTHwmMjC0W94cxIKKKdq3cv795+9YtAHCS6eEjByeTSVVVbSuLecsIIVReqts0TUqJqzqEShWqiIEndQ0xBmbquq5pGkJBRBUZxze9FmZGtFH9Ogx2hUMIkjUnIQq3bt65ebPhCgiBEL65cvXOnXvT2cSDjJRS13XVpI4xtu2imCUcMsrMnFXMMGe8efPO22+999abH5mB+171JJqoM4mIKEYUMWZUtTpA08BP/+l1Efn+D16ZTuuuzYRuu8H9awNzhrl7jv0clMGiFC63mzoYEQltwJdKlOzSVqD+IbmzLP8tUa+/Si7ZMymF2N+2bazq4m73ZY0j9Tc+WrrEA4sTsGyUMXbCiskvB6wYyBKvDxHz8gr+wfKMLvBO4nMOXRga1BdbjgOTvBzUoiJzP+6lB1Rw4PgMjUQeKUyFIQlXfi+DEJZSSVXNaiWN57+UoS6fiKjP9S57thedXvCJvnneSEeM6f0wig8GbbgEgfqVDNQ0ixCnoaq2d3e2trIhWN87EPd2xUw2ty5fu3YzBN7Y2Pf4udOnTp88eex4CNw1bV1PNXVd14xgwj6FxxwIQ84ZjCQbEIhhwBDjJHV5d2d+4cLFWzduHTx44Knz5w4e3KirSU4pkJ8gz/IgIsqQdinEaV8HU0++FAhHsO//v8R4yiLAEGUWWfqW/Rjr67JBRCiavH39SHTROyIM32tlnXHIyheR1iE765uY9ZHmlQWuKNs3OinL7GexYeUbs/QxJTML9KDp6upq27bb29sGpqrz+dzln5mxzwR7oebyvNiwGiNr1JXQs4dgdbQoj77ffPDH0J2s3HxRg6Z9Fr/YWv9eX9KkIiIhVCGE1C0jbBlx5kWXqJiNunEXWzY2iuXAls3CoRS5wCFFAX5LIy333ZbtL4eJZn5jvT4pK1E0m+ul8o3j01fyfYWFM1ifR3SgLXHEJTIx3DD896V0yO4vzz4P/CbqGzXbsKAGgGqQxQbVFu7fv/vVVxf+2z/+w/37m0RUTyMi7s7btbVZ23UffPjp/Qeb//P//H8/efKkIVWTKYDG4APTes2IYej+MzIY5Ywxc+/eGZtZkoxohOTkoBgnIQQwmlSgqvs31n77t3/7yJEjqjmEoJold/P5PIa6bVMIkTnm3nuHO/fuf/bp55JBWPbtW3OCHhOaSdu1MtQLuR86RKulI3eZhwaIGjhmNo5h++EuQFhdge09qGsAw/W1ffv2bXiDW112I7C2bQG8+MfMLKuYGXk7T8A2ZRG7fOnKe+9+BACEEELYt7F/b2+nWaS6Dogx55ySIUKbbDqp27YNER7utq//6tdNM//Rj39rZVaFQGoJADJpFnFNMZtUxcktdq4In/9v8iI9c4cATBHQVJURlkqHmVy2vCzCIHKFiAp9coeIiHq4uET5PX0Me7rAZDJJedlGBghtBHeWQzuG5gZbG8zEw99vybo9OrBnrGv8ToajtfzT2EIXo+5axk/dUKUWvnXYBr6FiDzSDUOHXrlFUyBizh1iVDCPnAkH1K/vy92/cwRIBETHPZQAGZe9O2Agi9DgauiSxthzJlx1yrK5KYIRkrNu+3PmflFx64v6q6rKp1DaKADtRbdrZ7NZ08p8sXfkyJEnnjj66ee31WBSQ5uMGD3O3Zt3IvBgc3Hp0q2jxz49d+7cE+fP7Vtd2ajWzTBwhUBelyUiAkaEYGAoiBwCKQgREyAit126ffvu559d+OjDj3f3NCC89cab3//BK3/6p3+cukXXzEPwEsE+A6iD8/StaElBAGDRNv4s4LUJAEw9HxMAiNjBKBwxPNxGjAVmZL1MVX0bh+9ihOIi9Eh3FjFz7Gdp671KG1TJCxnMzMbNXMnMRJePgPBITyQble2pKgypimISesHrp8nJMisxqFZP58cYEUByjjHu7e3pUGjTX0gAaNm/1mDpGZezgwPdtT8Xg6iU96hmRztc1B05boehG4hgJmYEAGqZeozHI1f0OkbnJUDvGRh4SzFU80bzgxMyVho6SibCEFYVYbZR2FCEf/i5H9VYLjWsmVemCIzM9lgYRAQGToMbe/Xpa6puR2ToIlBc+WE3tZziYg0RcagyzUX74ahnlw7tFxFRwMx7jhGS2mgERr++ZgaggJDTspQ0FJvEzAPQ56qNkcjb2oQQBHB3e+ejTz799W/eePBgs+Ab586dU9UHDx54+cOdO3f+/b//D3/913994sRxwtB13cPNrd3dXSJY37da13WMAcDKQE/frb7rp3voYlkFUc0w54yBK6CsAECLRbuzs7uzs5Mz1HVYW9u3f9+BtstZOknp7r37n3/+6alTp86dOx9CwBCbpmFmprD9cPvG9VvXrt0yAxrGVOScBXJVhZXZ6t7enqrFGA1Ulq3+ezglDEX2xV9TMEu6vr7/3t33cobpBImhaeyJx88ePHwgEFoPEUuM0U1aSokIEKkQoEzUkBSMqf768sU33nhzsYAqwmQyefa5p19++aV//udffn3xwspqfOGFFwDgjTfeahtYrUM1qYitabrZJG5uNv/8z2/Wdf3a91+d1GxmxA5SLRutuxgN/sojvWU83mrbtm1bIqiqqq8uG5ir5SDRwF0oPiz29SH9OFSXaf86/2qnfXRdV9V9a7yxoSpXKBMOywoX4AdHU/jGmBiM0uo21KOHYU5J8bRKYKejNn/YD24GRFbNqmA2NJlC8+ZdjsOboRnGWAOASBr86P9+Jr7kZQawhFOylBLHMOgsHFi4DvAOyb+cHUhwZ0JBRFLkvjyvXNAXdmhiGUTEFEWtqkPO2ZQ5RATSrgMz5MBEAJnYK9hlMPY9Qa+3PyIDfSSYofugNsJazMQ5tqGqGTmG6nd/97ePnfzmxs07KjCfN23TNU3z8GFbVUAEKkAEt2/t3b710WeffbG6OnvumaePHDp88OBGCMF74wD32IKq5GROCBUVYELEtsv37j784IOPP/3ky5whIKjBXgMffvzZiVOnnjp/DjkqmA0RMBGZqiNeZXc8QaMDAcLn3iKiWRkCNKhTT2qYMXMnnapSLyOPxNM6woddCM0sp14LuxEdt34qrkNZ6nKp3iP05MvoT85EGZfJEMJoI/orw1CIFUK13MdCalGDIaCnQi6hXvJ9Qeq6Xl1ZFZGNjY3Tp0+Xp+tPHwr0rW/9MaHEmmP4rQgJEZn0HJFye7aMhrXv39DLefYZwcXKDK/CP+8JxX3lCC1PAfUR1LJQzQ2l21UY6OQ+fNlNZrmfAuHwMEsaoOTUEPsVQ0+mFGWiauM0bgn6TUbYHocRvOdWfEm4k6xDUqnfXO0rbDNz/FaCuLgg35KWMl22KEBf6LKG8G1wbvl3G6JNv0JApsB9kqx8mapypLZbmKIAWrad3fm1K9d+/vovtra2VldXuq5bWVn93ndf/NM//VNE/PTTTz/77LN3331XRK5du/bee+8dO3ZM1fb2mnff/fT999+//+D2M888/Wd/+ocHDu5nphCCSZacPc+hqN5gX8QdYOi6lplDHbJYlzWrqWGI9cVvvnm429UVtG3e3dl7882319fXt3d3Utt9/PHHDx9uvvbaazu77cGDB0+ePM7M2zu7LmcPHmx5nquKcW1lfX11jQABcbFYRIo5a0+0yTnEvlmNCAKAZSFEQwZDQ4sx7u7uGgFiuL+5ffnqzaaDGI0YNvbxwUNrZqJIqpqy41Fk4n2kTSSFUAOo+1hZLQZWsa2He2/85u07t+fraxNQfer8+T/6/d8/fGTj4IHZL385efhw87VXvrdv38bT55+8cOHiYrE4cvyYCn366Weff36JGZrO/ulnvxTA3/rBq8xgA4mp4gCaeYhui7gU4+SGJMboHAIiaNsWwEKITpgucrykpyEDoPV5uszgR7HtwyAmBUOAWFddTt50gQKDYU7iw7mIEZE0KwB4K0rRZZztA4VdypktpRSqSERt6usauq7zmviia3qSqp9CQ2QyAWR3b8W7ceVsPQsJ0AA4RCQzRSDLXYoxMKNoFpNQMQJ3Xapi3bXe0I0RNEYSSaI5hqqcn5566ZOvALyKm5CrKrZt6/Ua7mNJ7h/KzBSMCJlosVhMqno2m3j00EMaihTJebymFqrgtBskz+wLmKSsRDyZrJpJtqbLCaze2tq5eeOeqh4/cWw2C4waK06pm1QApBwDQVSBPBTTxrpyihNVQVXRx5CAKkDlldPEKWuyxBwZSUwI8MCB1ddeeq77ztOBq3ubD3Z29gDo7p179+/ff/Bg6+6dbVUgBjPY3u7uP+iuXf3N0aP7jp84eur4iccfPzOdTeo6LhaLGAnNiM3UVDOgtu2CqMrZPv7os48/+dIyBOYuiTcsuf9g/vkXF049djqGYNKFQMQgIllFE04mM+flmQoiej/oGKrBxgsoIVEVvJeAIDp/QLVvqFAvFguxPKknkjMyk//ZrIqx6VuDBABE8bbvnl5EJlBQbyIsmhyU7qcM2HLiBpch7gCLtqnrGr0JLkKIRNiLkx9P0b7dsptRV9sIoCrEHDgkBTALjJ4hcotTAvRJVaXUsnte/hIFUUAlRE15b3unxFoxxqoKXdchctu2VeinYcUYKQRxDjkA4bJ/GgETDvWuTCJAMZhZ0yyqqooherRQ13XXdZoN0Tx8mq1Mh0Pqpqsvz1FVVJxEByABaWmhycenWt9sStUbh5R6AYcZqB9B6bfKjAhZOtWlE+OL4x4ADVF7Xdc2zHsDsJzauq4FLUb22QfYE2B7mF2HvDMN4yuJCExkVOJvqmIoKkQhxmjJo6O+zx0HwmxgSBRMUbMwkoKY9fma+bzx1helaFk1h0DmtY4KmiV7Pwl1oj0jIhKICbE/r4Gp9fwYEhGGPuNDBsvSuxI09VCbqWSLkyq3KYs1Tfv5l1/durVZ1z1Z4Mc//vHv/+7vbWxs5Jx/9KMfPf/884cPH/7nN369WCzefff9J598+vz5882i+80bb3/55eXpDD788KOzZ07/1o9eyzkbaOAoYjGGnMTQ6prn83lVT0PgZnd3e2dR1zEEA4CcwAzu3tnc2Z5fuHARAFTBDB482Pqv/+Vvk2iM3DQiAojw89d/mZLu2zf5t/+3/8uTTz45uIG8tbVlBiHAvn37fvCD144dO1ZVVZahg5UABDJ4ZPyPx46hR1OVmYlpZ2cnqzHHvcX8sy++/Prrb8xgOp2Eyl59+YVjxw8b9ESH0sdUddA4sOw4LSI5ZzHoOn3wYPP+vU1EqEJYWVl5+snzJ08cy7I4sLH253/2Rym1k9lKDPVTTz95+vRpg4zIyOHkyeP37//vW1s7ALC9rb98/Z83Nva99OILBinltLq6mtqFI0tjAurYeUTEUmJuZojkkT0i+mDE4iryQH+DAQMPIRAFr3rA0rNv4O4OF3ykfxb0DUOcotX3reNRjbKNxmOXgKNA9MyMHBzpsgEAH7vnvm956FZrZipZVIjMtaE75aZIVDoZY13XTdPUdQRDU0TmEAIiqdp0Ot3dnccYu7aNkYlIOxt6Ti4BXo8Ox7QaHTEYtGf8lQIe71KyzDIMyBEi9kAr9hkfSCqdZDImQjAMgb30y9GmrstA2Iku2nzhy8sff/TV7k7TdTkyPP74Yy+88NzBQ/tXZmHRLpAghNA2OXKlw1RAM3Okob9tMgAQgNBn9EpbwJ4IRYCCCtrFKlY1G9KJyUE4dihnfeLsaRHb2tr+4vMvr924d+fug6Zpuw5iBGa4dfvh7TsPv/j86xNffPXsc08/9/zT3hEvp7aup4YoRsAGHbRd99mnF7688I1kqEJMKcUQQ+hZrleuXd+dL9ZXV5gDRcrS4KBkc84B2UzzI9lxJAr+INDPCVwmTQfW+nK+s//NN7rEPGUfuy6XfLD1oBHknJGjY98lfPQlVXlkrmCJ8oeicB0cEZ8kpT7stUR15YQW5QxDTA+A3q7KH6RgooGWI53GHykxJSLmnG/fvp1zrut6b2+vFJTqQOcmIgEpJ7E/vLhEuXM/nz4w887e7s7OzgcffGhmp0+fPnPmjPfBJKLd3V0iGtgMYsOIIwPFoZcADAx2pxoND67OalzuI0IIwUu4h5bqGRHLZMWiQ9zv76ve1cb6gYduodWAcXqog6MGryLi0uJ74StcVVXXdapjZoy3LSk+2ZLbEUIw8E71fQbBt9sMmSmlpEMSUzQhsEsmB5Lc+yVFwQ6SYO7quX52FHysf0QEH01QQB/0L9GLAgkEPw9gRsSiIgrO5gNxYMRCqETTvXsP3n/vw0kdkSxnfeWVl1555ZWNjQ3ygnfJ+/av/9Ef/+FkNv3pT38aY7x3796JEyfeeeedGzduVBUQMVFYLBbMXDF1qc0qHEPOihxUNWVNWbd3Htzf3L579/729tbde3fW9+0XkZTkwf3tWzdvLxbpwf2tyov12ULgrks5w9pq1TYLQqgqYKQmade2zXwRmev1NSK+devOjRs3EKGqqhjj8ePHHTIqtmQyrUyBmYGRA4EaADlTPMkyzZFFwJCIm0X39YVL77333t5ens1QNB05cOSll146duyI936XoYYQAEJwZbHMC6YkOaspcAyIcuvWrfnu3mSCbTs/d+7Mi997QbT1TFVdx5WVaUpimrMYB1ClGMP29u6JY0f+6I/+8Je//NWtW3dDgJ2d9Omnn7/4nRcAMFahaRqfzVnQxaJuBmlYsgX9kPhw3rqeUmlRN0opDTgejRCnvsujjjKLOFBhobjt6AjlAGwiAqD3N0QmICRb3ljhSMIwtL44EEW72cCAG8sxYl/h05+9LMyczRDIFIhpwA88HWiIBIhgiERIYb5oVXUyrVQxJc25Y46iqZ5wygsFyQoEHONUh/oWWJIGEABM+1kERcO6AGg2RKDAA/cNCdjMTKAKdc556FJgRCYiSEFViMkMqC+vr5i4ab29Lol1oopoooIWN+93b739wYcfXGWCEKDrAGr46usrX39z5fFzjz3x+KkTJw+trFbzJhEFICeIexN984JgJEIq1CoGAFMUsUDoBIziyviCU/9oJmKABNBHVYcOHVh99eXvCnxz8fL9za0b129ubj5cLFoFUwHZky++ur69vb22tvL4mVPMbBCQIYsCAAIT4cOHW599+uXWw8W0jky0srKvbbvFYmGGdeCUJIZKVZFwsWin0ypLg8ArK5OUxAjMkIwMRC2DKqDbZq/l6QEkZiZiRELUIacjfWdMJjNBIu07x5lZz/7DUc4ehunePYzcp0GJmb17T09bIwQEFS1VMCW/Y0OO1pW7D74qsH85RD1wpSI5j4diD27iUsEX8NZ1PBZYeCjqKwxZpzP74xw7duz48eNmCIqmGkIomDPA0D0CB4a8mSlmySFE7x8nIg8fPvzpT3/6zjvvmNnx4ydefvnln/zkJzx0KPL6KbfczggZl9JpzxjvCZtLloCBqgzpdgAAbzxFQ44m5yymgQMt6zICAJpp6MtTQVUBzVwFmRIsB0zr0IdbhpksNiIzETBaf3J9/d0tK58yMxj+WhIcxY4QUeoyM3ddh5hiZETxikd34gFNDUxK/4kMaEScTXLOnjQZWJl9NgoAXEWA9WOKsvTDw8z62QREpGngh1KRAvRO8+63KUIoLgkiOhV5mHfHZiaAOcnOzt6XX1y4fv0BIkwm8MqrL/3FX/zFxsZG0zSejnVnipm///3vHz169NatO6urq3fv3v3oo492dtKBA7MutYcOHXr11VerOEFzk4kIhCEQUbPoFPXrr7/5m//wn27e3mpbqCrwss+UgAgmNavSfJ6YnNjvY/BSjLS2XhPRU0+dPXz4YEppd3f34fbmoUMHzp4903XddDrNOX/yySdXrlyrqn5HSzGD20JYVvohcwRQQ1FZdi50YLnLKeccY50VzPT69VuXvrkxnUJd16Ltyy9/7/jx4wBLd35I/KvvHwxEAQByNmuMFUO4efPar37164fbaTqB2cr0+ReePnBwvW3nKbdVFbKkLN4x0US0qqqUJKV2ZWUqot976YXJZPJ//Lu/mc+bWOGXX1z84vMvn3v+yZQaALFhHry/vmXpmbmw8WHgN5UbTkkAFDkMdt0GDcXFj4a+qm3J98ahVW0hnZWEGQ39az3GKm5sSgm0NJsj59uXmIaZh+peKNpWRr3DqPT3KN7GMC62PHvxRYoSLOobyZqmMcOqmhBx0zQ5twcObPhgEa9KVc1VFc3QxIpLsXSkERGXeVznyhb1kXOOoXLaERiKdNDz4yznzlODIm7v1QyZEQlzHvxx9rEchEiEUTISowGLJDGhQA82H37w4Rdffn6VCZixbW06BVMvx4CvL1y5fPnKmbPHX335heMnjplZk3IVsG9agT0Y0n+Xh7O+zgAqoAyIy+lqRRJ6/pVCCAE5BI5tmxAIQFdXZ4rw/R++1CzSzm7z1ZcXX//Fr3OzAIOq5pxlc3PHe1F7U7wiNqqgCpcvXb19+77Xx7lZ2tvbK5FxSunLL7984tzjHGxj/5pqBqNYLYtCveUq9U4VDChoX9JdIm8zAxCnoA54Ug4hIFNhv+OI2OxW1sfUjt3NAbFbEtMGQUVVn1W09AaKELrBLslgAMBeJPpEWyELy9BH2aPJ4pqXeLQIMw3lLTlnWGZtgUa1GP6wTdNsb2+bmUerbduWpkbliA1rImaGtoQrcAh/Qwhd1/nCXr161b/92rVrp0+f9sf0sggfN+xkNBtV2QyP5ldesusHqmz/ROWpVVRV3SqLlMwFuis8NJ7uk+IAkPMSoHXofpBrKLqlfMV4cRAxBC7LXu52jD4SkcP4hYZcFGzZMmJUMwPJkskCYD+x3oMlMzPxdCKIZECS5ch5K/JWUCjmvn95zlkVFIS99utRrb5UR33HHmemLCeWIWIwRQdbyq07PFtVk7bpUtfO5832w90vv7ygCrMZ7tu3/oMf/ODYsWOIyOT5WmBm5J4ieeLEiaNHj+ekP3/9F7fu3K1raJpmNp08/+xzhw8fJYIsOdRV13VEAIhZYbq6tr29feGbS/e3HlZVZZrAgMgUYDb1Wi8DsNm0dvAEETY2Np555qmDBzdS7mLkZ599dn3fatu2zJhSF0LYv7Fe17VkU9WclBnbRquKnjh//sixo/U0qiXJJqhevwsIioC6bCrn1KFm0fTukkFdT9skKem1qze/+PwrEUADDvjMU89997vfTSnNZhNA8yKOIl5+YInYDFSBGbx4D4AePHjwd//n3289mE8irEyrM4+dOHxoo+sWBikQmGRUIyILmJNMJ303OkREEk2ZmB5//MyhQ4cuXbpmCffm+erla889dz4SE2MeJBBAvTK4HLliv/snxRBDjTAMGoa+NR65vexJOj6saDm41iV/GPHpkQ2UA1nst0NV5SNAS/3oLiciOgGYiQ2BmECWRXfFWrto28DgKycBhrih/4h31iPCoY8KDsPp+4cbzkWvgxgkCxgvFunypRuffPLZ6ursmWefOnn80Nr6StPMq8rpXUAcZNRho3wjUZmEgf738lC4hGH7RSAiZhTpJwoSc5IO0Av9LTpsTqaoCuCF3glIgap6mnIrGcyQMIjhfG/x4YeffvTBVzn1e/rUU6eeefbJ23duXrly5f69PUTILXz8yc2NjY1TZ86mlCiI9rkq77FYsD5iIlWgJWPIENgLXLl38NByzyJHsxDYzLrFvENWgxhrUdWUmXFnd49pOplU58+fv37jzocffFLVQVSRYW3f7MChgxhQsqEIgA1NJ2lne/ebi1dEYFLXVVXt27/24MED0zypJ7vzBkWkSf/tv/3jvRe/e/qxEyGcjjHEEHfmi5XJVDWhgVr2TnmIBEhk6PA6EoACsxcpZa+cMlNR8KIHVHNKtj9mOSOI6BC9mQGomXrXhMG5dOy+ZzKmlLzBgDNRuixmRoxqQkTmNZ8jm4SFPoYOlQGAQV+v/wgU74fIzAyBA6OMy/yWZV3lsGApHqMxPN67Jru7u07TmU6nw/xlb4qsCJz7n/tOmsG7bgDqcO6GuFlF03y+SwRmgkiz2fTw4UP9UQWWAfYoqqaY/HIn/mtEBFRAMHNLDACqqIo6HHRD7Cl7RBQCGYKZiBmg+vHMyZMCPkNhOTJq2MQlpc5GDTxcBTFFMPAmxGXpaFm8agDGfScDSinB0Oi+4A1uAfvGv2g55xDo9u3bH3z80Xw+P3Hi1HdeeHEWV7IBAcVIQpJSq6BAPsDJQojM3HUNIniu3dNH5gl+U+agmhARCQkZgMy8pUTo3SbuJQC8DQMM8J2Cr7KVqXclVzp4KDbfW+Scs6gKfPzxp5cvX44BDh8+/P3vv/rCC8+JiJkK9lEyERnC0AMSqji5dvXiG2+8uZg3VRVzzocPH3755ZcRkQg1qUg/Py1wVJOU0mw2O3/+/IWvvrl5415dT2NktZxyJqLV1dUQqoMHD9+/f//mjdv1JCLikSMH/vzP//T4iWO7u9uiaWNjw8viVcWHMlPfgDDN54urV692rVUVM8dnn33+wIFDTburOYlYSl1dT+u6Us0q6n1XmRmREVhFQ6iSdOSpFFYzDBw//+zLq1fvxgiMsLIync0mALq6um8YILEc3cHM3ufEnTtEBCCwvpPDnTv3rl69HRgCQc7duXNnnjh/hghUWbM6SQQRk8qimU+nU5Fc1ZWHLGodQYhV2NjYuHTpGnOM0O7t7S0Wi/XVWq0pBfffdv0Qichb+Ra1Uuo9QghoEeIy841DYUlVVV4iYf+i6qycXh0ze0sWatRDUEfAl8c3XhGQR9PGYNSBznCZlccRGfhbX1pgmJLxH07LMiWJXkYxqFFEVISmaxG5WTQfvvfZB+9/vLcnRHDlyrXz5069+L3nTp46qio9vaBfkGVGbaxYdcgdjhecY5CUfZ4XIhKxB2OG4GlX1SxgAQ2YVbKi5dz6OxG9Ht31lIl6nwA0YgBum/bq9dufffqVGVZVxQGOHDnw3AtPPv/8M082Z5vmpfff++Tddz8QgcDw/gefTmerT5x/vIq4UjNYP6twueCl1/kSACQAUIGBvt57LUykvYOIXdd6B/u6qlOXzRSRsmQyTqnVHK9cuXrlylXHt4mpaWX//v0xBh/52k+ANDDCrknXr928e/e+t3w5duzYiZNH5vPtdgFEEAOFEAykTfL++x9euXq5aecvvPBcSuIp1aqqvCkwgEJfTG+IEcBEMygMYdJQlATC7FwlotEQy6VZHaypiDila2B3W0kMl40eWbKRAz0CqKh0mQQzE6JYvsWGuu3yv8WKl5frWI/F0XmDtuykhgO+5QhiFSdYUl1DVhsGs7m5uelUtbZt19bWJrGyYRaAux0y1OzEuGzu1N+YmZnx4PIWU+f3nFLy4QgxRsnmU6NEhDmWw+LiZstusuKG2RkAkvsIGEakn6JDyiKbifbHX3shFXWPqp+Ma+K5ppFWeaRxDY3yjDDQZpfboeoUcl9PG03H8BSN450p9UU0MPAP/HQyMaJdvXr5H//xH7/8+svd3d3ZbJ0pvvzyKyEEBndtlZkHbCmWJL0OdJyy9WNPjpxMQMZMIlbKDYiK8AhR8IzE8HTqQu1/7ivovGGW+3Q5ZxFTwGxQV9P79zZ/8+s3NNv+/WsrKysnTxxbna0AQJdaIogxNs08xphEu67LyUIIzu5ypgYzx8CHDx8USaq56xwej4M3BMhkBimnZ559djpbuXnt3tGjx6oqAuj9zQfr6+tEIXU55/y3f/t3t27driqaTqdPnD+7tj7r0nzf/rWcc0qtSDYrTac9IolmdvPm7atXr/vCraysVNXk5o0788VO027v7e0ePnKwnqyqYZ95JTRAYPJiWhn8vbquBLyffL5+4+4nn31e11hV1epK/ft/8HuPnTzGaE3ThEA5J5ElmRMHVB/6fGEo3hYCb24+7Oawf//EIJ19/PSzzz1tllKWtm1ndYWIOQ/T1YhVlQMRYAhx0e1NZ5PAcXenO3zkYFYHrxARq6pKqa0nAdRiHVIWES+nMVgWBHs7Cybs+057/ZWIOJnWNZ/jIhwQmXKbXbY9v4OIOBQxEpEM8tNL1XBU/MENQU19SIy3+8AhrC+nhTkCDA3cmBDMG+viCIDF0TybMQTnCYRBvYpbHVUv43GnYQlUFo/Hq9aZ47xJn3369ceffLo7l9lKaOZ5d7d794OL+w/te+zMCcd4RbokGRG5HziEAN6P7xHCoxoSkpe7gQIH5EnflMnX37VwVq1CyCJZOgUTMJEMYEmyIiApeKsQtsgBDQAtpS7GSswCkYBtbd7/6qtvducwCcisAOmZZ84+9eRjqntVBSsrqz/8rVfM7N13PyQCyfiLn7957fqtP/zD384CCEg4tNgGABMAn9tUTIgXkqufpq7rECsnUccY29QQIahWIcS66rqcUqsGHJiI2lZS6gwmt27cee+9DzY3H04nUyVdNN3hw7PzT55FsrZbhEAIQARJBY02NzcvXro8nwsC1HU4c/b0d1545uCBfdvb26uraypw/eatL7/8vOsWXYb7mw/fevOdkydPHjqwQcRGTikABWPAoe0d8cDrdhdzECFABhzat6lmFx7rJ1Jaz5kz72KLqsrRAIC96x+iEZpZtp7D6icahzHBImLWuhB7Dn3scbq8moelS3/LTK2Kk2/5zW5RvCM9Dwk1IjK0oVhbbECRl1YZFdyrQEUA1excHC+6u3bt2nw+n06nqWkP7t+YTqeSjJlzUm+Ry0RgRoiOlrnecC+HoHdWANRQkXlldZpyGysmhmBkJjEGIlykRT2JY0+oWFZ/Ml225nV3dsTasQwMAOofVTVEzpLcORNJWRQQY4ze6xNMTTL0baGNGA0spbaqKicEICKgqWUfFVaNmh3paIRmuUMchl4OD65ehV8cr8AO4PuMg/6BwHnwqruL7Xv37v3sZ//0qzd/tW+2b2VlZW9vfunSpVdeeTUEUu0VIDDh0JzHxUxE1HtPgGFgVE+bjtpvMxmCqaouO4gPFh1E+omOOLx8AcdgZDAzpAKNmvQJbAKDlNL9e5u//vWv7969X9eRA505c+bJJ59UVR3aBSwWixC4aZouiylOJnXbpodbW9eu3UhdRkQVqaeTl15+8dy5c11a+KgItyhd19WTmSoS9ajLqVOnThw7GUMdIlVVdao9rgpMMSX59NNP79y5NZvFybReXZs+cf7xLA3lam+vn6fHAUU0Erdt62emaZquk8uXL1+/vrm6wkTVxsbGzRu3f/3rX29vP8jSbu9svfTSi48//sSRI4fWVleIkAhdI4soApihqhCGThQAFvP23r2tN3795ubmdozEjOvrq2fPnjqwf50Zh0x8RLSUZLCIGAJ7/NFLkhgig1kWvX/vgQdORO7gUtMuvCjc814xVt6Gb9hUJMbFYs6RmVEkdV331VdfRe7ppqdPn963b19qt1W7WHkJx3LWe+FnDp7HEgx3l7ygEWHoAGg9zaV0qOgPQ86ZqMd1PD5zS+B3C/0At26JwCMycXEpcCiWXSpBe4TD7+dNhpYy0Jf9LAdpj2Mjv771EbbQsrHPciS89z0tDIChtTg/3Ny58M2l13/xbtvCJEJKeTqD1dXp4SP7Tp8+6Y/QV/dyzDl7U8pB8/JYaxTTMqBKGTIZCFdARmLAaGLoTcZTMjHtOuclkKjFGACRI5poyokCEIYQg6QsojFyjEG6FEKlZtu7i2vXb1WxLzl/6ZVnzz91WrQh8AG+Op1MX3n1xc3Nza++vDqZkKl8c/HapXPXnzp3itzLIyAo7ZX62SpltXswfKj07YsGNetQxeSFGyISAjVdooGARhTAdNG0Fy9evHPnThW4S42iTWf44ovPv/CdZ82S17yRQdd13j7z/ubW/fv3QwAiPHb80OOPn15ZmXznu8/u7OzEUFfV5PyT56aT8Nbbb5sZRbp5a++jDz/5g9//XVNISUIA7+JO3IdxiIpkaBBc/qWMHu8bug375fvo7bweAfCLs97HzVlExCtHew+1L2Je0rmLnWbmLD00xUP5pas4plBEtzidhS7Do5YSflRxNM3diYFDxMz9Po3aRE6n03ZoI1iI4v5Q0+kUETc2NlZXVzc3NxHxwIEDAATg1Mv+oPGonluH19hfca8aoScNeN9JVY2h3r9//6DxQtM0MdQ4IG3Us3qZiKSvcSgnEZ1ABkYcMJuEEHyml1nPg8lZIYBrP0/9GYgBiEoM0xB91E2J4xnJ3S9y/9VNKQ5k5LIp4EXF0scMYRh7liSPQ5GCQBD1Ve/eZdgv6x3DBr2qFy58+fovf/HJp58ycNu2qvD008+++OKLnvbKObkOEhFUGzIm/rAyjpG8Coz61qVxYBJkHwZtA2ZsfeLDG0Vzz4V28rEZoHlViItE4OBWxFLqknrrYgphEpGbptvb2/v662/8cquzlWeeenJjY0NEZivT3d1dkUwEXZerqsraIuJisdja2n7zrffeevNtG9heZ86cOn/+/OrayubDBRJVVY2MRKzQYxFN0yECMQRgBVXrUoYsbcoZEXPuzPDixYsPNnfX1ioAOHjw4JkzZ1ZXp4g4n8+ZmSj6zZgpM87nixhjzrK19fCzT79g9vkQcvvW3X/8x3+6fv3GZEoiygH+y3/+2fr6r5944om/+Ms/O336RNvsEmMfDooCgILFGH0YeZfl/Q8+/M1vPgAARK0n8bXvv7y2vkIEonk2mXVdZ6Lurcbg46KTCLglTylV1YSZ2zYh0mIx7zpPRIWu3TXR2Ww2mVTOcs85dylPgJmDqnfJzVUVu2FoXoyxlXzp0qU7d+4AQM5p/8bqxsZG1zVMFLjKXSJkROZYm1lKyVMqKstmQW3b1nWdkpiht6FmJkR2VwMA2rblMDEz9wbMbGhbUXvtivbcGUzJmctL6l9d1/4GP0XNfGFmkcndggJLDr0mtNhsGECtwsrxG1bVJNmkL/ktllV7ahJ663hPm/khKV1KOAZEzFkBIPVDqSfdIl365ubPf/quKoQAInDgYHXo4L5XX3vp9MmjIZTZU0EFzEgVArFXeGPfM6TX0d5XoDfzBswhp4xqIVRq1LU5SWYkQ/JhHggMHJECEgOi5KSKRFBzANQQq7ZtJ5NohmLKgbu2w8AhhKbpUoY7d+7tbENVAQA8/eSpH7728up6vbf3EJQmVehyMoPVlclrr758++adnd0WAJpOf/n6G6l78flnn6AYIyGYiPQN5tT6vgsDVVMTiBfnlSLS/mGRGKlpGmfqYw8sKxCrmClN6vW79+5cvHipbYUJiQ0UfvTD1174zjNVRaLUNZ1T4h3MV9Xd3d3NB7uTSZzP09rayr79q223VylP62AqmpsY6dVXX1rfv/6zn/0sZ1mZwRdffBE5/OCHr1V15ACS1IN753iqqicLCFkkcZ/LN5F+9G0WT2MR9JWT4Akjwr5TsqoXZQzDZJ31AgAAkvu0UUopxjos2ypbMcnWj1exMkO2gFK2xA+8+ZIX/ikxeB0B4ZL85dP5NGdmFsmuzXkY8iQmZsohmGnb5eKd+LM7KEgEKbVmVUqpbdvFYkFEMcaVlZUeQFasqqptW2ROA5XMhkyZ3xsCqImCgihRdOZjVYUDB/Z/c/nraT1NuU25DYFgaBnbO44MCIjEKSVCAASKLCIYnJpnOSfyFkYgksGZ1yJNjNGzSKr9OBXqS3+TKmSUJueqqnbaLoSwt7dX11Psg4TIHIcF5JRaz4gbCBGDopt8v8MeDB9ahepQVwkDkbBnq/QzProQWJKAo5WggH2Tn65rcs7vvffOv/ub//3+1l2CYABE4aWXXvnzv/iLo0ePJ8kgGdTM+nEHRpDUAvpWMqJhYFcpIpItTyYzy2amiFbXcT6fA+jWw/sff/zhqVOPHTlyhJn37dtH7FMJ1KfQiCoZA/RqEwEI+3l+oZCbrEdEgXwAgIKqfvnlhVu3bk2nkxDoySefePKpJ1Qzh0BEMfLu7gLRYoyqMJlM5ntN03SbDx5+8P6H9+9vhcAxxsksPv/Cs0eOHNrd3c05T6aT8l1E5G0oqsppqD4jAWOIOXfMZNhTOvf2FtevX1fteZ779u07cuRQ2zZINp1ORZOBeNgxKuHAnHR3d37jxg1TUAWAtLP70JRms+l0VjHj3t4ehrz9sP3ww08fPnz4P/5P//r0qeNNM2f2TFLlpFP3o+d7i4tfX3rrrXdihNlsmlL7/e+/+oMfvFZPfG4eLxZzQvZSHxxNSzPUtm0nk4lDDgZARG2T6nq6ubk5mVQIbIZra+uqEENlkHPORIFZGPt2HL0hJCYDh83zkNRPKRFhZF5ZmR48tF9EgBKHwMy78716GgbntA9zzaPqgbKXc/axm2OorUTkJV7xGQE66kkZQnAwAIdkZwnTYciElYgEEfuSU1yS+MpHRKSuJ+VnHLqAwTCUYdhTE5H46HQKLc3wEQDUB5oUdu5S2ApXDthMmaMpXfj66q9+/bYKhAgGcPbsgd/60WuPnT5WVQE0D9FqKOSdup6g2aDzl7nVPkYBJrJsQIg5SeCY1XKmxc5CxB4+fNh1eXd3F8zZZh0ipiQONrRtK6oIcPjQxurqKhGtrEzBeDqtvUKkqioRAYOmzVvbexe+/oYYEOD48QPf/e4Lk2mFaJPJxEAQmCxJ7pRh//71J5544p13PwUABHhwv/nNG28f2tj/xLnHBHIMjKk0nstYOpabIPUGqW0XPVerLwcaUJZhZEbZrCTapQ6serD98MsvLmxuNsxABMzw5PNPfPc7z6ytTbs0N9NBNshMQuCu84H30LZpfb0+cvSgSru2MunrtZjMhMDW1leeefqJnZ2Hb731DiLu7rZvvfXumbOnz507m3PrFQv9XvdDV5fSJcPTuWO6RG6XkbwhMQCoOKd63Fzd094jkhf0rwI+8dA+1nnmZsahGnmuWFCrEtM7KkBEIeBgxmT0pcuSGf8uG6oHHaQbcCwdsBkoAIDb8vFp8lBya2vrk08+cWDgzJkz0+nUzLyHcYngy7eXlJyZAfaOOA9zY3HIdh8+fDhyrwQ2NzfNDLxOzwYGfj/tuo9izczTK0MvLE8YDZqnhxnM6wNVs6gyc5ZGFVKStm13dh9ev3bz/v37e3t7zt32kitEnM5W9+/ff+bM2aNHj04mM3difFn821VVs5XHhBHJgimWdCGN2nU7Nl4WpygiGxhOMfYL+Pbbb/+n//wfNrfur05XU5LpZPXFF1/6y7/4VwcPHypcBOyZmL5TAREDBk9w+yoNO4hdl1NKZOTXNxOD/NVXX1z85ov33nsHkQ8dOlRV9VNPPfXyS6+ura2J5Ol02rYJDI0MkUNgHVj9rvr6ruBIADggA4pEQBy7rvvwww8fPlysroYTJ84+9/wza2srhcToz8wcYqx719hAVS9evHjjxh0iJwpCVVX79u1DRJXs/mPOuaqiL1+WvvUjIgKI83UANElGphhqJSXihw93Hj58WFdgCqYwm81SEubQNAsDGe2EbyExoymFEK9cvra5mWIFalDXVdN0kaqVlVnTzlVz16UQeDoNOeevv77+j//407/+H/9qY2PNQEQkS6omtSqA2e5eu7fXvPHGW9sPu3oSF21z9MiB73znheIC7+3tzCYrqipdLnH8YCyHmSKD0WLmyYQBAhHlnCVIiHH/xsZsNuu6DglU+/pgn29s7s9TMAVC9oma873Fg63dW3futi1MagLIGwfWvU1ICGGxWKjq0OpVPC73Pv/Z1DsCFn3hTGN/m4O0HhObE4kVVQ3JVAUNihbow2swGWgsQ3xDiFBVsWQueuve54qXzkRR+gVL8BeWgtrBddMB4fT/LWzHnlhKqNB3J0EfiE4I4LPawCzD0EfdDTVTFbi+e2/rjV+/1TbJjcSRo2vPPvv0yVPHEK2qQ7dwxiIEZlFzpjQzS040dAjpDxKYgnk0Bhysy6JqSITh7p3bd+88uHrj5uaDh1tbW4jYNFkViGDRQAwgQ5mcWG8Xuw4ObkyIaG199tjp408+de6xU0eytKntzDDEYJa++eby9nZjBmawsbFx/PhxVU3JGNm7lxAFdyiJq9OnT3751cW93VYBiO3+A9ncfFhVky7tmSkFBtOcJcTKCMu8MiJ0kQAg55qrmfY9g72s2ZgZs5oZMit4259qd09u3b7/1dcXkUAzTFZw3761737n2boiyQ2CuIZp27aqOMTATDnbnTt3/HGatl1fm3IAgyTZA1M0NBHJ3YIZn33u6a+//vr2zU2fC/X5Z18+9thj09lKava88BoADKig325ZvTqyeJlm5hwR6BMWiIiABkB1XenQjQ6HBiYw1MGjGpg608U8WB8ZPxrNAX+kb8FwXvwNouYMgJyTs7tUcdCB4DbPh9A7HF0sEwGC9oTZnmA9ztEGRQTHI2Eooisnpes65j6QnUwmKysrKysrVVWlNjmG3+MKAN73Qvtpe4YApUM+AChoYI4DZ23fvjUfEZlNt3a2gIE4DAwh963BS9KISNUnKKqZejTfu1DewWEo0jOToeWRaxU1ky61d+7c+eijjz7++ON79x449BJC6Nq8urqaUmqaZjpdEbGTp06/+uqrjz/+xNGjR1PyebXOCQ2ImC331IRH+QQGotYPSYKhq0+RH9XsEbKZgUOJqfOJEl0nTdN8/fVX//DTf7i3+WB1ZXWxWBzYOPy//C//j7Nnznddylm8XNzMs/u99mCEwJWak6rEzFj7HLpzV81MJIlASm2swpdffv7v/o//7f6Dmyl1ZnD1+tcG+OmnH1269M2f/MmfHtg41HUdEcdQZQNTzGKgFsirodAA+sRDpBijT6HB1ImqcsDPPv3i8uXL+/fPQqBnnn3qO995fmV15rqgaebuJvfgahIDNMPLl65+8slnZj1bNcbgx6ZpGoNMAf3olXaAvtY6ynT6sSyxrKddH27tNItWBNbXV4ng8OGjXdeJJETIkovaRey7vogYGG9u3vvyywsIUNcVADRNG2OoQggRTh46vr6+fujQoV/96tdN0zDjyqy6fOmqCsxmq00zNzNA73aeY6i3tnbe/M3bX1+4HBirqjp0+PgrL3+3nkQD6ToJhJPJZD6f+3wdG7pY+LEPoQfMETHnJFnbNlVxsru77avnnfuYY9uktttbXZ1xIG/sPxqC2Rs5MTWz6WQ1J3348Pabb75tBqJST/jVV783nXk3+B7bcNvpx94bcQzjKWFQeb0FLQrLB+WN0Rd/ZelEhEfcTre1yMv/9X/9413XlaBchy5gRRuWb1f1+nIumIGMpmPZkAkqoWS5YLltIqLBz/CgCpEQuZRQev8v7MdbWc5KyNsP5198fuHmjS0xiBHrCf/kt3/8/LNPEEvXLPb29rjvb+WXSogokswER+rVpY6MiAgYVMEnsj/c2f7k488uXbqyu7N4uKM5g1dGhACzWZVSTknrCCGwiHW5n5WjAqaAAFtbjRrcvz/fvP9ge+dhoBf37V+d1lNE7JImtSuXr7UtcIAQ6ODBgw4CuevV98hkXrQNcxVDnVKaz5tOgBBChGkFW9s7KWcEEulijJKT8TCpL3s6EGMM0PdClqJYFZcbnXN2/8Ydi+wkFQ5N2335xdeLeVfXiGDHjh1+9bXvnTp5TK1TVeK+I9PIAlHbtpubm+7rrK5Ojhw9OK3ZJLshTGnh+jrnDhQ29q0/cf7xu7c329aqCq5fv3nr1q1jxw+TefmWgVH/QwnEvf2fB3ZDOnyQn6ECE7zNqCYz00fGH/hFgF32XDKXmfUCJxR/1F3VHkRFGD9vIZYX+10Ms6NuY2SLHh1rC6OKU0QUWerM5UHwts2jxhJFu04mE4fWFt0iYDh48OBkMtnb2wkUnUVYumOVczc43n3dXdEJg/3T0tuKiMCk67osHZHbKp/3CIVeYAOS50HFpHbkY7kCww2rDo2DmqYhwu3t7c2t+5e+ufL+++/fvn3bQ8oYmZmrqmqb5OUYbu9DCDduXP/bv727b9/GT37yk9de/YETiUTE+U/8aBFBWdXikA0Ry9JZLDE9QJlGY6urqz42UDVfuXLp//ef/ubStYsb6/tTah977Oy/+qt//cwzz5nibLYiCszcdgsb6gKsdLZg6fnxj1T/ewm+VFUlmgA0RL548cJ/+a//8e7d2wYZSUyBiZhCl+bvf/D23t7OH/zBH58+dWZ9/YCHVGrATKomkpB6hlbwhoUUAzNrSiKiYGq4szfffLjFzIvF4sSJY+fOnfNmwqrqVY+u1kUkJclJ5s3i668v/vznr9+6eTsEn18Sq2qyf212YOOQGOQsNUdmDkTekkJVe4qTACFyiCmlZKpi/bQ0QzNru3Tvwf3bdzdDwCT56KHD5596sq//IarrOqV22CpUFaLARE2bd/faq9euU/CBSxgjraxMD+zf+NM/+5NTp07VdX3v7ubdu/c/+OADVcxZ19bWHP5i5i5pFUPX5b3dhcji40+++Kef/koEVlYqM3vqqfOvvfbK2vqsa/fMtE2ZmSeTyZiJA0NQW5BtRPQMZQ8tikyndUoA0He/MaTJdCXWcbFYeB120USOWJihGRLxYt5OJquXvrl6916aTYAITp058dRzT8SgKTdIHKpI2cC8XbRjer1O8ZmzZKOKkV6mgRmHZhdee8PuYXRdV0+iqvbRufbJPFX1AmJbggT91fIo3C8awUqzjkENiYh3eB4AZPuXqlBHM3KYWfpx0TBAbkTEIkKIHLDMvFkqJjIAaHMCIxEzxQx46fK1d9/5WBUmM+46efzM6RNHj+SuJcZZPVssFoQhYKXkzfUB0by2mLEqCgJooC8iKtp8sYih2t5++IvXf3Xx4p2ug0kNkwn6uEIzH8WtVUCf0ypmkDQiuNPcNF3X2WTKbSv+/u1dnS+aew+2OmlXZ7O6moCF2XRl//79ePl+jGCg+/btM/K9MEPv5oFITMghBAW4c+dOl4ABYhXU8nQamXl3d3d1pe63aYCdiEjRz6amlEqhEQZGb9UP7osHMKuic5e86wqJ5GyqXXPhwsWvv7laBRA1Ajhy9NC5s2eqSIAgmlVzSsmQ3TJ59Hjr1q22SVWFYHbs6OH1lRmiKWgIgYzmOYtIHYIyhEhA+OrLL338wWdbW4sY6rt3t95794Mf/fj7q2tTUGVAR0c9BeB0ThExwJxzrDw17klDH4gycMIBfQ6b9Ri7z4MeuQJWtLR6a13rI9YwPuz91fCRNFMPVhtmlb48DLT0YvImDT7ZwUxVs5+I4auXfL2xae9VMQACgpqautuNBKbizHMccQxTSrdu3dra2mLgEML6+rqj32agKpK9yQ8ws1j25kKGBSbo18iGkMMHfXEg0ZxNcnYHBVJKTNFAENArwZza5iyQEBzw7wvbHPU0MzNHMImILAsaBibpEoFJ6q5cuviLX/zsypVrABBCqOoJ+oC4UE2n05WVlclkMqln3nOGmbd39pqm2dvbef3110+fOvP444+7IvL+K25cRZfGfsglgJrxKJUpIOAh7KgZ1xCK6M7Ojohsbt7f2X34H//jf7x4+evV6QoiHjp49E/++E9feOG7IsIURUQUeoY1ovtVniSigBRQsyi6o2lmS2duNpt0bUYzZpLcffHFZxe++WplWmcBAM6SIkf/VNd1H3/8sRn9we//0eOP1zFUzFHFYl1nBc2gCACGAKGqqpwfaaSKiB4NfPXVV4tFnk7DdDp1OgAzt+2iHCEAQGQErKp48/adN3795uVLV9pWOBJRQOC2bY89ee7YsWOu66uqEkk+XbHMQDOznMUDSlU1JHfEEDGGUNe1KGxubopACFBV1eHDh71/9WLerK7NQqCu6w0/+0QfASLc2dn74P0PHzyYe42ciKysTI8eO/Lnf/ZH58+fn0wmOWnXppTalLSqkIjX1taIhrFIRimlnOXy5Svvv/fxp59dQKSV2XQ2nR09tvHss8+GwKo+wpxBAqDl1Dd7HxSZ9tAfgoiEqs9sVVUVQpU62bdv7dixYxw+FslI+tVXX7308ncPH97ggIvFonfJgUQEtHelfcWYIkW++PXlD97/ZG0FAezAwbWXX/kOBxNp1bIq5qQgEAIumoaHrnbunw2B+9LXxiGpIyLOGhURp+K7PJSh733gLgOmp2q4rDUvdn3QmOxJxwIG6ED0Lb+xgU1a8MaxpS8Rht/zI5GEYlGy5atdTTu2Actz28cKVYwhYE7YdnDv3tb9+7shgIjUNb78ykvr66sImbkfBAJDUZN7t0hABqVHiD9C1lRuEgDX1tZyktu3737zzR0iqCI0DXRiBw7wdDqt63j+8XM+ZqmuI/QgSpXVVGFnb/fG9VtbW1ttym3bbj/sAGE2hWeeefrEyWPTaYVmKgbATdsuFq0BpATTfXWomBlTakRzVYWUspN7mdmQr1+9ceHiNwAQKlbLiDCdTo8eP9Z1nawEJuq6hbcfypJimJZ5IioCiCFUYrh0TzU5WXVQfxSD01NUVUOo5l26ev0aEbQtIMGL333ilVdeSqkFRALr+0EhgzmEoXVdi0hO2rYJkc2yN9gQJREBQgSMxGpZJGnOxlRRnK1Mf/SjH/7sZ6/v7raTKd69e7dt29W1qZkzjly6GFGJQXLfsLlYyt5PHQihxaE0MADwsWwwTGJU1UGQ3QD35rOw2NIwX2MwaT1cb8ukrw1Zdu2N8SPeQz/JDRFHRJbSaTt8K/Yt13TS38gnWL4HChoxjHn0JjMffvjh9evXiWhlZWX//v3MnjsLYRiPUnoCjs7mElfw1QhunuERUFD7l5gJBySuzEwVVbMCipR5WpRScg758F3LhtwAy5bezCyaA9KXX371wQfvXbpycVqvuAO6b9+aGR48ePDVV147fPhwnEz37dvXtbnrutls1cy+vnhpe3v7+vUbALC2voID4jgIwHJHYMBUykmnofNpefnMdRpK88tqE1HbLq5dv/J3f/d39+7dndUTYpzNZn/91//Ts88+7+kbIkopq2ldT7quQ2Av+cSewG+eKXMdyENDC1/41AkiTifTnLvFYnHj5lVG67rGzFZWZ+ceP3X06FHmcPv27cuXryLwN99c/Af9+z/6Q3ruuRcI0UzabkFEHPuEluv2ysy63BU9y8Rdm27furu1tY0EHMPhw4ePHTtW2hK5UyziJfyYuryzs33hq4sXL16q6zoEy9pjvKJqiisra4RBQRE4BOu6nJMSBmRWBS9MJ3K+UT9grY+Gkc0gpXT16tUYwZnqh48cAtC2W3CkrImtKqivb5WKNU137dqNX/7ylzECAM3nbYx09uzZv/pXf/7Y6WOA2nWLqqr35tsPHtwDgKqqqiocPHjQWeIeaovY9vb2L37xy88/uwYIgWOzSIcPr/72b//uY489RphzzlVkVWQKPqYsxihZS0GaO8hDKnHZFY6IVFMIdOrUqY2N2dbWvAa8cuXKpUuX9u9fb5K0OTE6AQQBnahgKt7BPiMwx/rtd99/8GC7rgOAnH7s1LPPPc0BKIS2zTnnuopq2rYpixL1fnSB0QBAhp7/xf13VdK2i6qqeug+58GSQeokxsgUCIOSSs5+xDlSOaLFEuOy3352EkAx254P81pV73tfPlVC/15PUcTASeblGPjNe8erXksj6siHGNpm2cDeAOtT+ers6KzYdvnu7e2LX19SAAVi1Zde/M6Z04/FiASQUktoKsrMathnMYnAnFBjfZ09GbJTcXF024FjWN+3bzZDEYv1BACOHT/6ne88vzqdpNyeOnUKQFWyR36xrvqiGsNssLe7yCo7u/Nvrlz95ONPU0pPPH72qafP1xWIdgE5mSLwfL59586dugIx2L9/ff/+fbGmphGDZMSKGZBExRAi0c2bt+/fWwxbA8zgur7wpYkoOPpCFjh46qc/gOD9VfrUDACw9t6bx2GDwUMVC1xlhRs3bty4cYMrClFnk/pHP/rhxr71ZrETqPLGu2rq9F5FcAFom6aupy4qhN4lN3gW2TOWWAxAICQWTYR4YP9+BqwCtHNrVrrZbLWqJj1P2yAObQBx4Jo51yTllgb+x7hvTa/XwQBA85D9ARjaSSBicEXkaqY4l6NwJcdRATcRWd93zzku7qk7wW1ZIc19H9bEzN4/DnqgyIZCDyJYNrfBEfiMfbOpJQTthoR6j9nATLIVL9/v1sF8Mztw4IAMDd4dWDIzYgiRVWzJN/QG94495L6fATOHELEndZqBIIGIOE9IVW2UNAEO3j3m3r17/oZTpx6bzWbECKhg1HNbAQDUTLyICQB2d3cvXPjypz/9xzt3b+3ft293d28ynRw/fvzll149cuTY2tq+o0eOVVVVz1batsW1nnqpqocOH62qamdnt+u6yWTGASsIbduKzzRwoI76nSr+EVNVAgZFAEAGVlXoEeglvjLsvu3s7Fy6dOn+/fv1bDqf7zLi7/zO75w9e04FRLrZbJalYw428MphoD5Y35NQc9Yh1sdCdgZQM/SFn7eNSMq5m893uZ9zCAc2jv7lX/7rxx9/XEQuXrz4f/7t37sP9+FHHx48ePDcubMrK2shYtc2jDUO6JQBBBEBI38+3x4Owczu3bu3tbVV13E2m506dcoPdtcumDmlzBzNEIFUdGtr++LXl37605/u7OysrqydOnXs3oPNnZ09gxw4NF2bc6aAVV1bj3p6gtbbqiuAd1nCNgsApHZebE/XdV2X9vYWN27cyAKimYFWVqYbGxscYG93OxAz83Q6VdW2n0RJOcne7uKjDz/eepjqCmKMq6uzgwc3/vCPfu/s46dymoMBIDx48ODLLy/cvHknRuq6LkY8euywJ3T8ajHG+Xx+584dEagqzkkBaPvh7mLRApCqcWAwYkYQLz6uChdBO+UwOB8909JDagFDRJjO6pzk8XNnX3jhmTfeeFfVRPLbb73z9NNPxwlPpyvStWASOCKQgNAwy1UF9tr2o08++Pzzz3OG6RQ58MmTx1dWpqjZwU9JQt58A/qxS12XptMp9QkUjTF6j3odGt65ffU3F3U21i84TEBYBhCIPlCyuL0IrDagMjG6A6TDcMwlFGSAyCWEKP5HgRxxyAg6KuBLWvAStzfmdunRBmGpNQMnGNIoYkDXKSJGwNPJ2mJx9+rVO8xMhOtrs9OnT08mk5QXXdeEQMgY2RP8yQaIojBSwXo8o9wMlM6DiDnlx86c+tM/+aO9eUMUjhw5tLGxb219JaUW0LQfr8CiWUSgy5kppz7tHaJVFOrJ2tFj33vi8dP37t07evjI2tq0a+cgqgQxRlOMxF5pWE2AiFbXZirJ6fq+lZ78AqBr129//sXXClBFVjUBYIOUUu7SdFYH0ja1hGpGCMTkxWYetYMikxKFSEPbUS1jPYceA2YmvdUPAnj7+s1f/eqNtoVQaSA4+/ipQ4cPNnvbs9kk544AGLETsWQZIYSgpiHEGOvt7V1TmEwmKl1d1zlnBkAjJjbgEEJKQADZTHMywEldeQtOFeCIOcvO9t7BQ/sRreuyqhepwBA+EiImH5MhfY2ZDm8qOXU3oGMTTkMnczUfZFBpqfsY0VmYWES81M2GdlJElMVDRhh72MRRci9IiN73dAmSjamvxa44SaCciyLqUCohe8gBAEDBaJQpczaM292maR48eODMgBMnTtR1vb29nVIyQ2/77xysEEI2yabMnE3LiBqvGXEvzWfF+Akt+bVpPfU1ybnz7DAHDFC1ObVtunPn3uuvv37hwoWN/Qf+6q/+6oknniz3jCOQnJnbZlFVVdMuPvrog//6X//z3nxn3771tm2rKh47duy3fvjjJ595NmCYzFYCh05UFwsDqEJs21bEELGeBB+EPZlMui53XZc6CSFkcxB+5OU9egPaD5s3HeVPAVVN0XpGedGHDx48ePudN3/+85/HGABgbW3t937v937wgx+srqwisFp2HSWaxGv5bJQV6qsbhsl0YKpWxuiZGRHGUPvcOAD5/ItPb9y8FgKrYlVNX/zuS9978VVvg/jEufjEE99cuXKtbReE9sknH7/88ktnzpyNoY6xyrljYOyJJhRUhENoWuHMRDSZxJ3d+f37D17/1S8o8LSqV9ZWDx4+ZAjiaSEAIO6SINJ8b961+cJXF19//fWtB5uzST1bmf7wt37w6Sefvffee1VVV1UFoCnLWr1uJohBJIEFyYkq8hZmKkDEi6a5c+fu5uaDAwf3P3b2tCmawt7eXl1N9/YWu7vzaQ1oEDk8ce7s2upsPt+rQjTR3CVAJQygNm+atsl78+7zz756//2PGcE5n6uz6auvfO/J82dzarrcpiQVz3a2F7/4+a9SB7NpRJSDBza++53nAlvXzuu6AsuLeTp48ODzzz//y833AJWYTG1zc/N/+1//vx999NHTTz1+6vSRkydPVDURAjABE1NMTarrWiS1XapiUFXLwoCoJkkJEAAlCwDEKiDYD77/yheff7azt6jr6sqVK2+99dZPfvd3VHPWpAbAoarq7e1troKREIbc5i+++uq//f0/zudpdQYrU/7+D1578YXnQdQMiKKZIHNKoqZAEIlS6iaxAlEmb9Joue0Knj8G7vw3Dtrr0LCWuW+G44qsqBIkkq5TRQpVkgQAZBpj1XVdrPpZOG5Qm2YB4MUaEAMbWNMm0SQik8mEwEwykJdRVGaWVZMIcuQqsigImGHKQkR1NbWhpMfNvBGaD84kDHXldYQ5JQBgcEogmFkVqk4yAHZN9+UXF1WhrgMzHjp84MiRQ1lTko44AEOXu7CkFyACqBdWGCGAorilH+uIEIIpmuRAZJafOn8GqG/HESJLbusq5tx5a3RPKoNlyRIATUBMcs5MwVSZSFN7+MD6/rVpIJJuMY2hVUHknKSq6ofbWwa6ssrzhXRNu3n/Hh1YnUwqMGiaJoSKQtjZmW9vtx+8//m1a5sIkJNSRVWMmtO0nh05eKiqQko7SApIpk7OiDnnbJlQkUmzxljlrADEwKYSGLOZae6fnLBpu+nK6mLeIGKz6D7+8It7d9pQAxocPrTxzDNPx8okoVpCAhET1aqaEFGXWxHhyJKSIWQRMMud1JNqZWUthApQCFHUkDCbGmGbOu9eEisSbbPlUFeLtkGgyXQFyJvYMFEW0RB8cjmAWuTgVmSxWBD32VNE9MKkUTCNJhZDGHidCAAcAgKUvg6xYgKW3DFzHaucs5kagFimgGKZYxRTA0p5yLixi08u9qyXiuCV5QqAxF4IYE49Y2YZgCVEH7unaEPxuoKCBWZPg6pkHzbRuxockgiFflqugiRNwKCgTerub202qYmTePfB3TfeemNra+vOnTtEYTabnTt37plnntnY2NBGA1fIqGpqamhEZAg+tIIJQTVpAoOqrgSkmk6qOGmaJtQBEff29gCgrlHNiIOq5Nw9fPjwV796/dNPP85tV3FYnc0i8dC0cehgD0C+WlUgtsX2zuUrX+/Nd0LgNidFOHH8xPd/+KNnnn9hMl0lYANosxiQaA51lSQbGBCKgDdZQeScM5PXXIhrMFWV0hvY46GBaKxDCgaG3IeaGir1GRxSVUaqqknXNaLpxs1rb7/91nRaIaJlOX/+mVdfeu3A+sE2C7GRUc4ZjMzUi9+J+hR5DGAWRDJ4tQcJIhMEUw9mRExEkqoSA4Btbt195523fXQeADz/7HO/97u/m1KWDCFU08nq8WOn1tfXHzy4xwG3Ht75u7//L3/1l//DM08/r0rMoUstc6+pPGefJ5NJzrlLHVHY2dnZ3Ny8c+dO1zUrs/X19fWTJ0+GEHzGDKASUZNaTzQ8eHDvH/7hny5fvsRMq6urv/d7v/PCC8/dvn07ZRFbxBi3trZu3bp1+Mihts1tk5BMFbwgYTab7e3tLhYLf8/PfvaLy5dvnjl76P/6b//tyZMnVY0wtG36/PMv9/YWkSnGGCMj4u72jpr05CxTPxLMvPng3j//868/+/zi7Vv3moVPCpJY8crKyg9+8IOVldn2zlbbppXZWjPP777zwd2792PkrmsPHd736mvfW19fBUwAZiB1XU8mQQV+53d+ghTef++jra0mMCNi0zTvvvvel59/wgG+++Jzr7z6vcMHD1VVAPPifM4mkrWqKjBNKVV9p2VjROvbeyEiGoJqPn7i8B/98e/97f/5923bmcLPfvrzOKmfeeYZdKKvopjNpqtN01Rx0rZpe3v3V7/89dZWWluHyPDi9174yU9+OFuZMEKWpJoBUERzTjhw6DzjWJrYuLPPQ9lriZiL4iseboknSrSto2Jc/32c1IgYPHWsA/6pvQ87NLfhqqpETFUNQwwht910Ot3Z2QEAM4wxZu0nO7VtK6OInx/pd9bfQMkLJBXsG25bzrn0+u3Vqjn5xs+zokKX9NrV27dv34Gea4PHjh3Zt39dtR/E5y2uKIR2scCBPi3D5DczoxFmoENzMUTkvmNgYvABQmpmapmBckpd9l6EULHzXcz6Ds0UYz8cSBVUlUxABZGrQP0UXrWApGqM2HVN1zWLBXCQqsL9Bw7O583J44dVtG3bEKo2ZW3zYp4+/uiLDz/4SgEChmxqIinJtIYQYgiVx0CEEAK3e92kXlVVZpoQNalTZSTnPFcgbocspTwICQGAi9Pu7m49mTadfvjRp19duEwEqYO1dfr+9189dfJ4O98z0NS1iIjgTY16vk49qQAxhJD61o1gmqHNfRtHkBBqGRrRE0EIwZvfIGJV1WY2nzdI3CWhEGerK0Tkic8Bh8hIwBxKdzmifgicO6w9s4Y8Xb0M8oaU0HLmeh80D7PVbSCfInCMsen6CtuChBVbYkNvu4IHeFeStm3d3jvS5naoivUIiyJErKrIzA5YwjC+REdjKlVVhwHQOkzXpBC8fVOBB/zbb968+eDBgxDC9vZ20zQ///nP/emyahWqb7755uLFi0899dSzzz5LHFdXV11pOCVeUQOFNueKWS2HELquc9XheYG2bdu23dvb29vbW11dxf9/W3/WZMd1pImi7r7Wioi9d05IZCaQGEnMBEkQHEVNpCipWt0lqYdT3afb7D6c88OuXbM+dp+6u6z6dt3bXZJKpRJJUSVRnCmAAIiRBJCYct47Itbgfh98ReRm2ckHGphI5I5Ygw+ff/45ovf12tpm0zQPHjz49NNPb9/6ChFnZmaWl/cPhwOWiGCstUQcY+5c0LUtCru1/eTW7RuXL18qy8IYM67rixcv/uDNH62sHJydW0iJg1f8yRCqtDkr8ceS0TEUPSQpkFQlqbd76Rv8Buh4gkhTvQ9T4Ap2p6UoywGwKIR2+87dt9/+7Xi8A8gAeOb06Z/97OeL+5ZkamiInqIOzNaEikUgYweIBpEEwBiRzN0Tjf0MI1qlZ/vQ3rjx5Z07tzRWrKrq9Omzo9EIETt5fHf8+NMvvfTyP/zmF8YQc3rw4P7W1laMEaFARGcLpYmklGxKqW1bbbumTv5pY2OjqWtLlgDnZmaHw6FC0MaYto3do8PG+sb77//h66/vEKFzbv/SvueeP7+4f2F5eb92f4XQPnny5Ne//vXCwsLqoYN6CTlBWQ6YeWdn/Pjhk48++ujzzz9/8OBBXcvMnFlZPri7swOMlkxRYF23D+6vxRYGsy6EUJbzyh0L0ZdlaYzR6Ezr4iGEzz777Ou7u8JgKAu4Dgejl19+dWlpZWdnO3gelnOb6zu/+uVv/vE376YAMzMD5njkyOGXXro4MzMMsS4K1+HSxnNcWt7385/95Pnnzv/mH9754vINay0hpcQhhLqR37/38Ycffqyw2Pmzzx47fmRh32jf4qxzjjkZwpmZmRg9ABgtvMHeqESWFFls4V5//fX1ja3f/vY9Ztjaan71y7/f2txeXFw8e+5MCJLLP5GZ0x//8MFHH31y7/5jJEgJzp87/dprry3t31/X47qpASWloEZEFW8QMTStnRKmNVMqub2D7+2C/q96aOrEcHpjp1849UVEnYY2MovEvYGeSHqee3Y0xMCIpm69cYwC3MZyOAqhHRRl6+uiqEIIKXl9+KwtarJG9HRQos+QQBgBYS8c0X8YQp5FxHnM6B7DyJqi9enu3fsbG1vGIXOcnVtYXFzwvpGulU9EmFOM2nRH1DUu0l5CsNdASGgJSSAZctM54vTC9tZZXR11c7cQ0dpshlISEEnBp5RcVQEisGqHRRFpNNRgCCEC2eXl5cXFamOzSVFE5MDKIR/B2sIU6qxEGG7cvPPJJ5eJoEASloFzjW9nhmXi8PXdB3e+Xjt1ZpXQFMUg+MnMbBVCIwAhROdsaa0xRogkaHaj8/EoK3YzM4OSt01h2cfJ2D96sv3xR5/vTlJVUYF85vTJp44fA+AYUzUoU/BTB2zPzqgjJbRFURSF8a0eOVRhPu99134iAGAdWsQEhsju1k2MjAg+pNGwIpBmUtPyfEpZmaQjQOXDokkSIgrnahSA6ligtqhkOpUBFdjQir4m2nrM9QCLSEg60skAAyKTAmCml5PSNrOOqJ/1tnMEoN9ROcLUqaKqvyQiY7LN0cJTjJEYYgjUYfspJT3NKBlsQIH+ZGIHLzMzsIDZa2ZT/Ovx48eTeuJUS04EEQeDgR7REIL3zRdfXLpx48bjx49fe+212ZnhZFIPBoPxuHbOWSLfNoUrdWHVPtR1rYjCaGYwqXeFlbaGMYbHjx9/+eWXX3zxxf3795l5PB4jmvm5fYcOHzl37tzy8nIIMXFALU4DU543CMyxrkPbtu++++7u7u7MzAxzPHHixM9+9rOV5VVmVa4kHS2md9MiiOpcIOazClomzmCJIAIyEgkkEekpIEQEaY/MyAm6Tcz8O0REMEVhUxTvfZagiFLX488vfXbz5nWdp3zkyJF/82/+zerqahLk3FoBysWjXPTcawGdzqlIJ3OCpJR0MEESFgkGSVnFALCxsfHnP/95fWd9cW4uxXBodfWFFy8OhjO+TTHGyGCM2be0/8SpUx99+qfd8TaB2a0nTdPEGAnzjDGlJAKAVcy2bid6ByaTiQg+evRoa4v3L5L33hqHaOpJi6Q3EL0PzLCxsf6rX/7973//T0RoHS2v7P/Zz3524MABIjp+/PjsbLm+2c47x8yXL1/+m7/5m5/+9Kfnnjm7s7PTtoEI1tbWPvv8k48++PDu3Yd1DUUBBw8uvPbaK99/8/sLCwsAqPOCxuP6y2vXtamDmYuiioHv3VtbWVlSQxkDpxRM4UIIg8FgOBymtFsWgGBiTIS2LKsLFy7GIM4OhLGp/d//8re//vt3i4KGVYHERen+4l+8tXroIGKKCbsguuOTcxBJz5w/tbS0+M7bf/ji8pWtrR3NbLRzOkW8/uU9BPjzJzeXlmf/zb/7lwsLz2lgrQB42zZFUVDHztiLOjM1N6UkL710MYTwpz99uL2V1tcnv/zlPx44sO/atWsXLlxQMam1tbUPPvjo1q37ADAYQFnC+WfP/vwv/9Xq6oHt7U1jEFBVHr9Bd6/rupiaUiVdxqzelLt+XJ6aAaVZi2Tt5X66zDfGvUwjAR39h2KMHBgRNe2G7h+BUMrd2HZ7d/z7f/rT/fsPRqPBt1575fDhwwg2Ri5cFbux09ZatWH5fzuRUc0z9uoIlNPuPu/pnw0gt+Yj9GEAAUCKuLm5dfXa9XGdqsoSwZkzJ0+dPknEZem0K8w624v+8j9retY4JiEZUOOiXePSiQHIlCagdPjNdJeBrnPibDGp05PvezX1BfcCmq5H2VorObixmksZ10CEjfVNBvQBiqKQkFhSU8e1B48//OBTTkAEgnz69Jnl5eUPP/xwMqkRgRN8/Mnnp88eA0opebKuCd4AkiELaIhy/24MwkjWOpfdT/8wxhhGYAAi40q7s7l7/eat9Q1fFsb7NDtjLlx4rqoK7xtlVyh2CCAI6JwVEXV4hNh4733S5DUxGOatrS0F0nnK0epBUnXPybj2ke7c/jp4cJYAYDgcjkaDlBKLzgLp/KuWjQrDCfqcPh+w7sxA5tCpbK3eCJzarOlhAQi5wpp/IqUUOGHvFzouC3V6EtZabZzr4QQA2N3dpa7027P3+1NNHYtbj4E6p/6umXwO83Cs/jn1Kx+/rjVAqQkiwgx1XV+6dElAfPRVUSkDdzweLywsVFXFzDoNL8b48ccfz8/Pj0ajS5cv13VdVVVZllrLL8ty//79CKAZ/M7OjjZTaLu5svxu3rz5zjvv3Lp1e3t7O5dOiEajUYz8/IVn/9W//GlKor82JWRmkGyXYozMUR3/gwdra2v3NVdk5lOnTi0tLWWzLGyMDnU1fQIjXVtvjIFUAyEvmma0oY/4teNRoSk9XH0oL52QTm8PdYXrSWuMUQ7pZDIZjQZb2xsfffQhIA8G5WQyef755w8dOhRjArL9HekPjH71v7P7PiomQ0SQGZ1oDHLUvisUAQRkTnfv3r1564Z2BMzPLXz/e28s7V9p2zYG8REQSSSKyPz8/L59+x49fkCE3oeNjY0QQlmUAJA49p9rfWwFM0sLgBDjaDQajWZmZ2EyaapycP369bW1tX375pPP0rop8O0bdz777LNPP/00JQCUpaWlH//4x888c3Y4HIQQDh9Z/bf/9t/+9V//tW+b4WAEAB999NHa2tr3v/e95eWlP//5zxsbG0+ePPnqq3vWQgwwNwcHDx58443vvfjii4tLiymlEOJgMJjsjtu6cc5pA2hRFGtra//tv/23N9783tLK/piSijfpyxhj9u/f/8YbbzxY+5uNzWQw6d8ZpCePNwDAWrp168Y77/zu0qUvnCFgYYmzw5lvvf7y4SMHSWJKQTrhWEkiBNbh0JbeozGwuG/uf/t3P938wZt/+//7n7du3Xr82DOD92BIrKEYuaqq7e2dTz/57MyZE/OzI2OsGofRaDbGyCkxc8rWQkI3KFZjxuWlpTe//8b8/L733nvv0cPdYUn37m08fLjx4YefDQZFYex4PEkJLIKrYGl537nTZ7773W/v378/xLYsXUyBdSRUzPp9mugihkwY7Arw0OX3fY4uXfNJdm8ggEDGgKHp82q6eR4iEjjbJmYelI5VA4yFEYwhIdP1JhQhBBYWQP3zzZtfvfPOZwxgLDx48OgnP/nJ8acORxZGSAKuHGTHGZPOzOBOnMR03YN9XGIyjLk3l7mLCfpmVjBouh4YBEAhHO/WGxub2o0SU5ybn1lYmJuMd/p/LhlOT6V1zJFZjCEAUWw5pwWZQpw9umZpfeQEHXAKU/ImqRvmS0QYo7CQACROXRCVceau/we+gSWySEJrMCAnVpuYElhLW7s7T9a3T58+WU92WYgZvrx+56MPP3v8xFuCosADBw589zuvzM7Of3Xnxu1bNRlEizdv3/nTnz69cPE0AgwHZUhjcjb5UBYDUXVGIo5i0DhLkUOCRKLFCxRBxsxX98G3Tdrc2Ll65UbHdIOjRw8fPLAiMZTOgMTQtlnNNEOtDCAEyMKKYAcvhXNFUdR1LQLjya4SiTK2r8KCCMIpQWImhOLRw0eP1zcYoLQ2xHZ5ef/CwkIKjXWEXYumiBgy3SaJQr4y1fDWedw9+665vrOl8uen/HfGIFS3ABAEkREEiVOyFoEFkAxayNl2ztqMzvZVj6L8CEClP9NUN6nkPsnp5rqexi+iq6AIs5CeCOyGMOUbSnshSJw6hyKotaHt7e2dnR3TpXrMvLCwcP78+QsXLhxZPbSxsfHLX/7y+vXr6EwI7UcffbC7u/3FF1+sPVwrXan3rizLclAdOHCgsOWjR4/0sigPbmtrCxERw/21u7/61cZkMtFn6Xn+p06dOn786WeeeWZxcVFpJUkkdPdaRFKKzFqWxfFk58aNG7u7u1VVAMDKysrrr79elmXwXBRFTMKs149Tzss1A1EchUWEjCNCDoxAKgMFiAJCSNjZPb2YJmuKqEnMBKbeK+teVNVQY9YYY1UVInLlyhe3b980VmKklZXlCxeem7SNocJ8QypxSmy4Q3P7GELJGZpFxBhjYLABAGLyIixiRMQgMcv2xnq9Ox5Vw9D65aeWz5w5FyNPmtbaSpv1BcGQWVpamptbYFbGq2vbuihtWRZt42GKj5hHMA2HQ2OMEILQpGnn5+dTAudMURQPHz786quvzp07pxKqOzs7b//23bffflsrQIv7Zw4ePPjzn//0woULAtw0TVVVCwvuu9/7dtNO3nn7d9vbu865qqoePnz4X/7LfyXCthVjYDBwZUmIeOToysmTJ1999eWjR48u7JvvhCqRmceTnY8//nhre1N0YK5B3/qdnZ3NzU09KJETh6D8eRFxhX3hhRc2NrZ++Yt/aJuEiJziV1999Z//838ejiqR9PDhw93dMDc3sIRFaZ2zL770/Ldef2Vubsb7TEcAAGNcCCEkHfxKVVV6n6yloiiePnH0//g//x+3b9/+9JPP79279+TJxs7OztZmOxy6ZtJYB9e+vPqHP/zhpYsXVlaWhCGmqFciyl6PuD5wzjOc8W1AxMX9C2+99eby8vIvfvGLe/ceV5XK4ID3Hq2oQrYxcOTo4Tff/O6Zk6eGo6ptG0QRTlVVEUGfHHe5Qm6aUqeYi0+dzuU0ADBl+6Svb2HXn9oj83vuEPeOtSavnMA5V3STYABIi9b6mzkhM4eQJnVNFlRgdn1z8utf/+bHP/7h0SMHicjZAlEFRKWvICCixL0u2D5qAdgrtskUtwC7vlBENMZpm1z37pzYra9v1rWgQWSenaueevpoSqksnYorDAaDmEL/0f0SMTNzJJPbqABAJCGSPqpze9Bov549foMdKMIddb//c7+eCqL0b2e7wSr9z6dO/4AslcPBwsLC/YdjQo4t3/363uzMXExtVVXvvfu7y5evBg9VAdYa58yFF55d3D8/P7/vtddeuX37b0UkJEGE37/3x+WV/asH98VkynJ+vLNtkJqULDlrSxB0duAs7Yy3jbPSRXv9yqeUtrZ2Wp8aDzeu3374aGIMiMi+fTMvXHjOWgptbZFAmIjySAgWIgopaanFOuNTsERY2pWVlX375sfjGhFiSMEn6yzHJMIiKEKsZA9Esrau05PHWzeurxkDAmlubuaZZ55JHBJHTNAveH82po867cne5c5vmuoU71Y+MaPk4uBebYtoOo9UhuKeGoTIXujM3eSnHD90mK3p2lylwxj6M8bMxlkA0EKDdOl+/yI5/stQOTnnQsjZgogYZ6cjxb6NBbpa/sOHD1U2Q2/raDS6cOHChQsXVlZWQtMeOXLkrbfeCiHcvHMbER8+fLi1teWcI6AYo+qb1XU9aerNzc0UeVANNO5PKekAPYWHlY0xPz+vsqcAcPbs2dOnT584cWJ19bCojqpI0zRE1EsYqdVSiW6RtL29ff369aKwg8Ggbdvl5WUVEYd+pFvHzFAOUC/8J50eqHS9EojIQJ2h0rOhu5nvI3XREjMD7mXe/YIDaL8lQNfaPZ7srK+vA3KMqWkafcgQQkQuHJZlmQ/qVAsG7OH5Mv0R+VSIQ8dEBoAVlNFAgaPEGJumEUnWUkx44MAqogmJu/IoCaK+S8fBkhCi3q8YYzRRyTH952Zh1AysGVOWZduGw6uHjh89fOf23a12q6qqX//q11sbm6+88sqDBw8++OCDK1euKBOKmY8dO/bDH/7gueefDdGnFKpqGFMoimJxYf6tN984e/rMu++8d+3atbYN9aQhAmOoqrgoivn52dXV1bNnz5489fThgweGo8FwOAwcAJgQydjQemDZeLK+vR0GA1A7DgCzc6MzZ85kpV7JvCq0Rt92dmb0xhvfi4E//PDjhw+euMJRkvWNx+sbnAIgQmGBYyjnRisr+19/7aVXXn25KCj5loxCenuk2cJSjAwJYkwWrXMGjfGhLaw5fvTIuTOn79y5U9f111/f+/yzS1euXCsrBBBfczOe6MA3SVwUxWQy8d67bCv3BszoZUwpVYMy+DiZ7Bbl4Ny5M8Nhdf369d3dybVr1+q6TpHLslxYWDhw4MCFC88dO766f2mfgtVV4VhSjKLsTT2X6mv10DvnEqAgMXICSSBEqOoHWScHQSC3XgpIlHxJcsdOXwXsvqiTNO5bbiSLZYK1NoEYgzEq43VPHIlTxqhPnjx95PCNGzfvuwKaFr6+t3n1+o0jRw6hsSCsCrtVVfUMAfqmimcG61Q4qsuAeyy0N/QAoBNsuzAlIpo2BN+Gx482nDVAJkTvKjscVkRAaL33MQYA8N6rnICG5DAVrfcXVfUsIfdhGx1k0kGFHbn3m1wt7AZt8V6LtlYctYOfUKAwlpG9DwIspMZrb/gYcyxLJ2Da4PctLhhzlwyyl0tXrm6Pdzc3N5nTV7fupwQGARFmZ0cvvnTx2fNnQmjryfZTx4+8cOHMJ59eLQqIkR9vNP/4D787eeL4ocMriwuzRVEIESdwZOo6sXiRNBwUriwQkURUEEEpjQ6NMWbfvn0sFNleuXyjdAAEKfHM7GBx/zxyKqwDYLI2hMQhFlWVSIjIsBhEFfEySGgtJFhYWFhcXLx5c60wsPlk+/79RysHFogAEBCkI4WoMI8pqnLStESgIwZOnHhqOKgIJClJIyZXGEExpN0fbDtqesryEil1ossigqSAvwZnYIxpWy8k3egj9RKASAzAKUVtnANQ+QqyDrMsDMBePq31deqlLHpITERi9M45vfs6RUJEvG+70wuGiKVvZ5VpizR9Gs03tSl7h0eIzpjcSggIAuPx+MqVKwqet21rjHnuuedeffXVhdkFSXnC2+rq6qFDhx48eOC9F6LhcHj8+PGtrS3vfV3XesXG47ExJuKeNdA+SUSctJPSliKyuLj/wIEDi4uLyuk+dOjQ4cNH1MeLSo87pyJjCjJzjErWIyJtti3LUl+krmskKctydnbWWssJY9xT6jXdZEJCoG5eLXZj8TTW762T9OOz8zB36EL2vW46HTI07Yz1n9vS1k1trUXClHh2dvbUqVP/+Nu/BwBmuXnnzt/96pcvXHjxmWeeReKUAgCJEFEeGYyIqu/ZJ0sA0Nd9UkoMgEgqgr63xYzWuBBapUcAcVmWy4v7C1dFBjLOh2SMUUMYU7y3dn93MpZcmerDPhjNDGOcgvF11TJbOyUAHA6Hx44f/Y//8T/+X//5//3g0eMQwvb29i9+8Yu33357e3tX79jCwtxgUB44uPzzn//0+FPHYvTGGGMKADYGVaN4bn52cXFxdXV1fX398uXL7//xg9nZ2bW1tcFg8Oyzz54/f/7EyacWFhZi9IU1dT1umknSMpoIMzjn5uZmXnr54vsfvt+2YEiK0rgCn3rq2Nmzp2dnZ5qmISTKNUWVo2dEXFiY/w//+7/73ve/8//573978+bt3d3d8W6YmS0kcdtGY/DwkYOvvPLSxRefO33yKdXn8d7r1BaTZS7yLdV7W5VDAPLeW8QIuf/Hh3px/zzzrCvoyNHVp08c/eSTzx4/flRYOHT44GAwsNYyRo3+EJHyBQ4pJZK9TJSI2rYuiso5CikI4+rqgdXVA4PB4M6dO/fvP0gpzc7OLy4uzs8tzC/MAEZX0M72LhksrAtNQJSmCcpp6E+Y6fpruxp8mj7BndPi6RxIOjwf9lpO90zYlKvjXmkLdKS0cwpH++B7rT21AkquJiJDVgSXlpZ+9KO/2Pjr/761tQ0IItA2vqqGIbQgyVqnvMIQ2r2aJeYsuUfyuwuT2c49zq8Zp+rVKymlv12IWJbl9tbO2sMHiEjGCMBwWA2HlUBqGu+cQcw11GyaE3ScnYQIiEaYA4eiqDpcF3rIRK2P916HUvcORr+mURPoVA0Ud+mFu3v0vk8plIukb6S/IYTAkqy1i4uLwuC9OAebm+ubm+sajyFCVRGwjEaDN9787rHjR6xDJCMQXUEvv3zx8eNHd+9tkIHC4t27Dx8+eFiWblC6ubmZuZnZ0Wi2afyTJ48scWB/8MDCt7/92mBYGqOlfEqJiTClYEmss0mIoo3JpwjlAAzBodXlylmWKCmSyY3Fo9GobVvlvVNXzNZdIySyxpXV/qV9ImAtbaxvPXr4eGlpsSyNAHNgESHMkyZ8y3fX1j7+6DMAsBaYkyssUl5/RAHLxpgQU4xRDXq/sP2Z6Y9Tj4ThHvEi9J33faauFjgmr49B1ig/1zooyxJEx1/vyVHkK9MRUPSV+y0uihK7QWJ6PbUcrjvYhwsm91tnR9WZpowKpC7sUH5Mf8z0FujxCyGoyP/u7u7Vq1f1ZauqWlpaevbZZ2dnZzuaS24ZOHbs2EcffZRSYhAAeOGFF+bm5jRl9N6vra2Nx2Pv/a1bd3S2WVmWZVneuXPn9u3bhSmYuSiKN9988/z580VRVFWlSpT6grpBrhPg0uVKKYHujmDvk0Lw+mDGGEA+/+y57iqB956Mc87FwCklYyilJCzT3J1+KTJshqYPjNTZo7JtOjB4yrX/32gRMnPyvgdHS+tE5NSpUz/64V/89u3fjCdjSvLRh58Urjp69GhRFMys4jzdYcsmt/P61G0TGWNEp4R0dRlmzexRWDWVuEeDEkeM4H0UgW4qbOuc0y4ERNe27aNHj4qiKJxJUUajWX2YlFmimT+Up4WqqyMmyUNczPHjR//q3/+7v/5vf3P37kOQRnswnDMc0uLi4uFjRy5evPDM+bNLS4tlVdT1GACMQRXlsIgGxBUuRh6OyoWFp06ceOr1119PPgCAc041jYvCAgAQ6txoTa0sYuujknVnZkfPPHP2B29873e/+50tygMHlldWVv71v/75cDjwoUkcUgolWWMMuTxlDoAJJfiwvLTvP/z7f7u+vj4ejz/99PO6HivTbXVl9dy5MydOPl0UNsS6KApJURI7Y1OSFNgYQxZFpGkmzjlgE9qIPQwYPYJIjOQQMLLE+YXRcDBz5sypEyeP//rXvz5x/NjJkyczKUnyZFJEbEPSWkkIwYEVEaXO+Y52niI7Q6ZwaCiEIJAOrq4sLS+ORiODKlAfg58AJgRLCCi8u7uNU/11c3Nzmhz3RkpbM0MI3icRmRYGUXPTtwbpQVQAWS9PURS+bnoryV03UUoJbS59pZRK6zhlkN/aIsYkwqpIOJlMBDFyIsIYW2sckHNFKUgxgjHgHDhXtm1wzqhoXeIszK6WgohSTNbawIkIwVAIXp+TiLz3akq6q7I3OAdSICLVytaamQB678fjsQ9xWJTIuLS0ZK1NKRZF4b0PQUuMYK0TlSxwNjStMSYEH2MsCttTqTHLm5gQYkpRzWu/knq1Ukr94A1lVEknutIHXnt2raME6rTAmLgsyx5jljzBLNiitNY+/fTxN9+cfPjRp+vrwRSAACmBMSACbcsHD8y/9q2Xzp8/hSixbQyAs6ZpmsOHln7+r3/y7rvvrT14svlkrBhA28SdnbC+OeHwsGdoOAtNgJ3dnYsvvzAcVaH1hkoiy8IckzHEuUwkvm19MwYEBKgqOHxoGVGAU1VVIXqJqeqmj/TyqPqakNgaiszGmtg2Rw+triwNNzcmRGl3t6mqIVFijmjFggM2ICQMIYYvv7y+u1sbBBA4euTQyy9dWJyfiylwYkApnEtqRmwmWuJUS5Weed0CDUbV94TgjTEC0v8tAIiwAmYMWLgK8+RGevzgwa2bX7XBH1hZPXTo0GhYoRbLUnKmEBG98sxclFY7JjQC7oiBWTRNz2oPgFOWugNmNmiBhQA5scYNxjhLil1nXKksixACs0r0cEoRIPs8naGl75hS+vzzz5UVqNNijh49urq6KiIIGGOMwpqgz+1btGWVap2miLOz8ysrByxSWZZN05w4fkLNxaRtmFkHzWnS/9VXXyk8MBwOnz5xfDiqYmBFyDQxMMbFkDhpeTQ3FgJrPZ2ICDCPBibC9fX1R48e6Fo552ZmZrQMhGCLokCyU5hZRBQEwwmYwbkicur70fOPJQZATqIltz4w0l+ghB6eKqirIJV+dfHD3iCuBBICD0Yz33vjrXHT/uEPf4jRxxg++OCDmdnht7/zvcOHj3LI416NIW0fUEBCIY0ugBNmLjIbN3P3DJKSM0izEc6yckVR+DYgUBRGQ866pg2DwaCDixJLGo2G+r4IZm5uuLq6WrgqTSkh6uvYLldjay2q0AGnGGNRuhdeeN459/7771+7en08HjPzYDA49fSpc+fOnXv23JGjhxClbiZKuxVJbZuUtdiXUmL0+jREtLyyOD8zG0KYjGtjDBlUHbGUQjZnBowx9aQ1BsvShZDQUnLmB2+9+cLFCyFGlbNdObAUYqs0RmBBgyEEkDyQUW8pIlgLc/ODufmjw+Hw1Omn1VU3TbO8uB+AXYGIHH1sGm0E12klfUWNjUEyFrppMSJAQiJIBoxBMrRbT4hwOKxyMA7hzNkTTx07pDY6hBYAqrKo67ptWx0d7b1nbaHLtZw9Q8DM1pkUWSSlGIkwcRCIw1EJmGIKMUUAISqQTEophFaT4L4G3+WCOL3BGsP1xg4ygLnXjaZeRzOMPqWYDkX7rKjL9b8xFgK7djJdN8ipPIYQ9Ee898xQFJX+W2FWDw0A1uZ4Vt1k0pEcU60vNCXuDV2fcf8uXZ5U9ACMulXO7YWmOwmZhNV6ry9BCOPJuCyzmGBpy/Hutn5cz5DXNJqorKrKe49IZalMJZlenM5nT+vKYf94PbAhU1/U0QwRTR9365NM75F0ivQiOimrU0pP3LS71pqLL14YjWbefved8ZgZoKqIA0eA586funDxmYMHl1NqAVllQQFjNbCIvG9++C//xY/ufH3/i8+vfnnzZtuKdeAAvAdH4BMMCogRkODpp/a9+PL5hYVF7EZKdvkBIYoBYmRIqa7HB1eWt7c3t8c8M3TDypYFucJCNze23zXtwEzdzEPOkosgTIn54OqBU6dOffCnT+s6PnzwuKlDUUpiX1XVZNI4MogEgmv371++dAUR9IK/8urFpX0LZFRVUGJoYxSlesHUV2+4saOjMrPtGJTMe5U1HxpnSwDVLReV8WFOMXkiawz5kD744IMPP/qEWQ6srL711lunT53QI625VP9ZCpfK1ITJPrCTqWpOb/o7psjeM+uNU7Z838KnP9PDFVliEm0P1DlX7L2jtTdv3vzss88AIHHy3h8+fPjMmTPq3SGBEJKQdkM8fvx4ezsnD6Zr0NXKYC+daa2dcTO96bDWzs/Pq05AhzfsnWREtNY1jUfc6/rhrqq1l3x37NSUxPtMMVZh3aK0vo3D4bCuaxEWUVGNzNtVxmsKmYThvY+cbJ6anSUW1GX2UwrVT2lUhIiEyhCEfm17oV+9hsZi4NSPzewMpqmq4Rvff6ssqt+996736L1/5513dsfjn/zkJ4dXn9KxC/oK6vhBSBVzdZvyqhJJV0DvjgQAgCJ5LFCW5aFDh9q2FWY1dP35iN3AkRBCWZnt7e3d3d22bYFlYWFxOByORqPd3UlfcMyZvYpjSIc4eO9FkBCLogSAixcvXLjw3JMnGzdv3nz8+HFRFN99/bszM0PnHKI0bU3C1hZEYACbpimMFZHInghiTCKpclaD0MIakdQ0k5j8YDiryLmIECmMlhBQEhMKgDTthBMUWECKR44cOnhwRTGNGKOkyDEUg0IY2AAgA7Kk5IpCx1eAiEHg6AnEWnJGFhdm1IdNHAL6pq1jNGVZcsptUVGbFnsXqKRuJBY2htRIIUpMXiTFCAIsKSKRJAAAa8iAIOFwbraua2Zwxra+SSnTX6kbPalntLsPAgCQGDmLh8QULWaEk1PgGO2gymUbEGMNGdTKlh6XwljSxmUBEYmtxz2KXGegWUDEkREREB3krOwkRgASMIAioMfCkYndheytZG+j9TvOOehiZGutD7GHTEFij1uiIUcFRmbmpmkIjS2r0MatrS2OiQhChOGsW1paNAbrZmwQOGs2xx7QTim1eb4Ama4JDbqGgh7A6G9Lb7h7YFYDFQCam5szpjx0+ODW1m0i8J5v3bqztvb4yOrBshrq/dEO+Bijc7YsbUrJFAUjAJGQivRR8rH39NNevwuwdIpJkB46sxb3ervVpuT2Kugg/en4JqVgLSlinFICiCISQnKk2WExMzNoQgQ05545XQ2rra2NGHlnuwHGI0eOnDrxdFFhTBNnhIXJYIoppmgstd4TkTWwtDh7/PhBMry1tZWF2PKm28bHQ4cOvXDx2UOHDxibEgcH1uYeBNbyiPJONCJxBo8/ddg6GNeTuZnR4r45Y4mEOUTcI1IYETYGrTUdd5p6EmQUNoiT8dbJE8euXrm+vj6+c/fulzdunTl3PAlMWl8ORkaKGOHS5ct/+MMfd3fb4chEn547f/LMqaeDr4MHV+QiTucpU4yQO2enFHAx9/Cx6UK6vgQDANaSTvTRUn1KiqMSKcmLWQ/a1tZWG9gZ/Pr+vQ8//PDwoYNVVUE/nBQhhBYRQ0j9gTTGWJcvVA8Laa4vHS0GMYqwlp9UXiYJcCcrBADMom+kQgK9TzVdxTpf1RA4Ri1jb+3sfH7p0sb2k9KWGlwePHhQx5LliFOQyBprg/cPHz6Ejs3gnGtqP96ttca/b35eySjWWpFIRG3bqpOenZ3tF3YwGCibL3Wym03TWluAkEFGRGA1R4xEdauTi1VjnzvQpVSAkHlcFIUOW59MJiJijUuJU/REZIw1iAAcY8zCmmXJICq8xplvH0USGUuEzjoAkKAtIZk4JaJj2bWmwLkb3mRpTtX8l1wdEySSnquQYFgO544v6GH46us7k8l2007+9MH7ZPDN7/1odnZ+dXW1M5uYUgIUVWyMMXd093GncwKACfcyH40MrXOIpTEuRp4ZjWLk7e3ttm2LyjhrY4zatF03Y0724YMHHJMlAwDz8/NHjx6VTLUGJWbmALQ36LAHKlrVSBoOhySAiIeqA/v2zasdnB2OmLmux6oxZQwyxxDSsKw00BAR5tQ0DUsUkKKoiCClwExtyyHWzBJinRKLZFRNOGroqje2KIoYvHU2xqg7GqMnorZVoSUWYB1X4wi54+CYTkJSz6U6MOY4mex2uwQxBjJiLRXW9vmKdGxnrZKqm+vj63qy24vIsuZwKNoeSl3VTXT2lw91nGjvaeLYx9rqSApXpj3ReO2rzraPaK8npPeyRATA3fReTX+zzH5//7sqNQFATiy+ObSKiHq7poev//k+xO4dZOcmsbste/hPn3/rSQ28V9vWmFqF6iVHM7nzSNXoZmZmmrpNSUBod3f38heXxuPaOYgJ5hdmdZpiWc209UREdIZNH/Uzswp39768W5m9drve2euaaHSFvFeNI3JEpCpM58+fuXrlNhAkhp1tf/fe/eXF/Vq2HA4r7JBe/ibbUYRRQAQiR5yiCvYf2i84fLMw3Icje7FX983pP/R/2692zK+rNRc0xrRtW5WlkAm+lcSmoGFVnnj6KMBRRCQstUXXOiMSSlcm9iCMSIDJWieSELNczMyoPHZ89emnjxFR5ESADImjoLE727vz8/PzC3OIElMsbIkslJsvElBvKPPTzs/Pzc7O7l9a0ArI/Px8bD30GWen1QgAXZVtD2fSpTbWjJu6acLa2t2YWudAhD/66KNqiIcPr8bAVekIbT0ZX7167f7D7eEQ2zatLA0uvvh84bDlPM2FQ0RBMNAdnqRBLU8l0/8MkepTJb0a1jpjhDmB6M9HRAcgyqQzBHXrU+L9+/c7c8MYg4bu3Llz5cqVF154oWMAZGmNsiz7Q9G/8pRfz8HfdDWhc9jYZ299bv3PALZ8B7t/qBXA/lN6M0JE6+vrX375pVLniPDgwYPnzp2bm5vrd4eIGt+q6sbDhw+50/s6fPjw/Px8VVXYcU3UNcQYA4f+0sUYh8Ohlue1GKHjs7WSorZOwxea2nrsJCV6H9+/GiDPz8+nlLS533ufQQXR/XIaxOhZIiKBqF0SvTpI00xUkbP3dqDmQIMNZkAAyOeBNQSBPXvSX2HoJ8UUdvqaQ5dpNE0zHA5/+MMfJo5vv/2Pf/7zZ1H8+++///XtexcvvvSd73xndnbeGJNCZE6qyKQXZ2/SG4BSdhBR0KqeZl816Jr9qkOHDq8/eRijVxIuCXi14ykYY+bnZ7e3Nm/fvlnXY2ttG9p9+/YNBsPd3V1rq94b6NvZPprTXTDGEIFIUiw6hGStBUM61kWAfWhFEiAYQ4iUOIHBPiLTzXNamAQonPWhoUQsUcAmTtaSJUzBcxIdJJki9+BeD/oZJIMUxbvConDlCu+9QdHRzQYQOVlrG9+IiNJbmDmFSERIFFNSaQ5jCYnI2N5PGCQR9D46hyAYYwLmQVkycwSN3lN/KLO3RgEQQBU4FRAAAQMmhSQiJAQswOIMOVMwCkvyrS+KQqMZ1XvvCz/9zdEkT0MTxZANWU6i89msNdYWbdsWRQFp6iYDIqMjZ6DnEqIxqoGaAmfmjh5Na20vYdv77N6197yV3iSllArnNMJDQJ4yjv2JYWZkQYCUOElOYa011tqUSS7qDHA0mm0bX09845O1RVuHe3cf3Lp1SwRSBGfhqaNHjhxaLZyJsTGW/tkoekSjE2L67pdp3G+6ptAvrLWWhLKyNNE38m+kGMKhw6sHDs59dXe7LAEN/On9jxdn548dP1oUVduGzpOJUQqNMSxinfNtTwO0ADpLQxt4/vn0s85GF9k7TjGGsGMI96l8/1f95qqXEkgxj2lRM2SspaKkEALHCIaGgypyqpusasIMxiQQZuboGVECiLbj668orQkxmqIQERAZDYrCZig1MhfWJBCLpvF+fm4JgKwR5jisSlYKGxkAZhHUsgiCCMTIMUatT82aQVEUgUOM3jrq9wXR9Hy3fi96o5n9RxtG1SCldOTowdHszGefXrp7/8nde0/+19/96tVXXzlx4gRSCym+/+GHV768bS1wkMWFwRvf/97BA/ujn1gCRIl5HLsAK/6iA2wghOCsNR2XM3dwdP6mO7qWCEKIMWJKCQiVq00dzC+csCsLzMzMXLhw4eq16+vrG2VRpJTu3Lnz/PPPqdx4CMGokYK9U9FH/N3t23MqfVTUnwHQZj+laKtyX2evjTF66ljZ3HlOLBFkYxU4ADOBIaK6nhhjtne2dna3AQkRfWwPHz107KnjQHmsm3RqvimFcb27vvnEpzZJHA6Hx58+trBvzlqrkAkQpRiJKGj/Tnee1Z1rROKc29nZefDggbVWFelZ5SZFRELSOv3UvHZESIkFhLQ/ViIBGnSq6xdCIrLGmLW1tZNnzqbIVTVkBh8CM2s6mlLy3hOqLpyqDAFLIrJdG5v4thHGws4aY62xTRuYhShN6ygAZFkwXVCZYu0ZY7CL9TOqBcCSAJCEF2bnhsOqGpSIEkJ76dIlMvDV17cfPHiwtnbvW9/69qlTpxCNcy7GbI50DqF0+hwpCz4aVNxQoV7glHRQnFldXT3x9Kl79+4aQ1evXfvyyy+fPX/BALjC+RRDCCU5HZeqzzysZk6cONG2rRm4GKN2cvY2PLNRMLdw5I6UzBCW6FypM3eNMd63xhgCSCrWSIgIKBhiFAkWiikTnFVUjUHvg5avtNIMAKYruhCRPkCPpKkJUHIHdFmaduiSgU7bMttVgwQsmHXFRaZ6xDUMBNCpEskn3+NpWn/hFIS7495FWCp/EUKEThCK2IxGIzLYl1enfV7vUZxzxhIHVndrrS2KwjnXIdLYtq0hS0RmKvPuRyOklKSbxeS9TymRQURHRCGAAkHMYO1e0zZ02X9vQ/tH6j1fF8YxTQH7+gPThLL+r3oD1P82mupL7g/NNISu2637C1NfIgKC493GOWfI1XUtHDbWd377j+9MJr6soCrs0WOHT50+6ZzpQe/eIPZOXXtGexCip8VqZtZnOf3r9Cug/TyKEzALAAsBc3QOL168sLH1+7ZNhHDv3sa777734viFc+fOuaJQyo/2AXNHHVfwCcDG6FNKBr+Ro0877/6rC7b2aBP6pZKo+o66aLw3nlxtTRQRQJ0ianXrdS+EDCJWVaX3yBhTOtIRTJUzTVOH6BcWFkSkHk/I6BNCD0jG6K213ofSFSKJOYhIUVSlI8AEMaItB6WVBDEmTL60NoUQvDfGppQAk5ahEBHQiaBzRVFo/pqQJCaPRG3bmqrqd3P6XPWazb2x16RNWbqjqpyZGR576ujs7Oz/+sXf7+x4EXjnnT/duXN3dmbfeGf89Vf3NPIkgueff/bEyWMA3HevWUcxfKOgg3ty9N/AuqYfqb+/RNlopJRcWQgwgkFEQiNZgRUQxaAAQOmss+ScNRYdOWWPI6LS36DLWSX1xyC3g+fX78j5vTvpjzR0fQEiew5Vr0DqCPn9L+yXt//nGiuQUG9J1AcoVuqcO3z48MzMTF3XzmSzz8y2MCLm888/ffDgfuEKZj516tSzzz6r4JY+1V4PLbMGc/qmg8HAdOIBKvqbS+nWYS6RJEOYUn47ySzaPZJEJ0WctQKttUtLSy+99NLbb7/tvXfOvP/+BwuLyydPnixL1JYrZk6J27bVNU9RFE1JHPRXAcXofQihcJVi3SEEgEBkhSMq+wEMIkLXkqdnALosqM8Me5OizkU7vaEbXhxjNNakyOfOnR8Oh4PB6OrVL1LarJvxBx98cO/evRdffPncuXNHjx43xsYYnBvq7iqcMxUTkzBxAlGNIBCBhIDG0Nzcwvnz569cvTQe70wmk48//vjQocML84sAYAlajjdvffXHP/7TZDLRRXjhheeeffb5qhwa44JnZibT0UAA7LRx15o3kpCB4WgUQqvuygIIs/eNc84VJWYWW5Cu34OI2GtK5BSB0I0PIQALx0QWYwwKKUcOAGCszp7faztGRGtNjBPuJEdI9aKRyQAlVRwwiNi2bQjRIFlrQZsokhhrjStSSsY45zSaNgDEnPoZ89baEBSnhRg5tl5EqFC9xlAUloiMJRDFwWxR2BCCasoxcxazRALEKFJVQ9AJ6NrtGKO1ZIoqhADAiP3RzFtrjE7NYo11tHCQuTAMhKSLwMxkjHKYjXEpZREtZmVXxj4x6oPE/vBp6bx3Id57TdP7b07lNKout5c093yC3osreYSnEOn+v72TE0haQRSRpENCgYiy+EzdpqJwM6P5Tz/5/PPPL6+tbQwG1vt4cHXltddeOX36BKKE0FSDsm1rfRB1kx1fKSvM6A3pz2r/FjKFnOvPOHLGGMw/Iz0Bh1nKqrBF+dzzz9y9/+iTT660HooC7t59uLn5252dnQsvPL9v37x+RN/HqF2/1pUisrPjQQQ659GDNFNLijiVyaHKXmZMNVeCtM5FPfu3S7A0XskuCiCJTigQYdhTaNGaEaSUkkgyzgJHZ1z03pCgxehrZrYIKGAxF7y0WQ6ndF0QoSpdjJFT0C7/QVlNJhMiiwJVWTRNQ8jCDJIAbBI22v6RBEQIhFmSsHPOB6/iGcZaRNMFpqx5kkwByz362h8n/YNvWjREhncnu2WVDh1e+vFfvPW7d//pwaMtZrh1877wfcRMGzywPHfhueeeOXcKUhRhcigcQ4gpsTUVgMJu2Zo5g0VRhI4QSn0vSdf51kcAKbH6VFK5cuFOt58oz+PGvp9id3fXe0/QITEISTh07J+9sI8ESAhMH3/mslfn3vogL98dpRjrbZWp8F0SMwMKi2D+kWnKoUI4khKjzd16MUbNs2/evCkdCD8zM7O8vDwYlMwRhfTIxRhjlCeb6x9/9sk4TEZuWBT23Lkzc3MzymFSTpJA0uECiAhC0NkEpSXOzs7GGCeTiWLvzrkY9tqXUDukyAAIECCJzpcbDgYxxhQVx0Wylpmbpi6K8vXXv3358uUHDx445548eXL16tVnnnkmX/9OEFOyFG4UosAhSkRARwQgTVOLyPbm1tdf333y5ImIPP/8C8eOHbPMzIBkRUQg22QWRfixD7/wm9JYDASQpRJDCCLsXBE1B3AZIqgnzeLi0l/+5c+OHDny97/+u4cPHwDA7Ts3b9y88ez553/4wx8fO3p8NJr1vmnb4JzjBIgIzNZagwSAoscJGBHAMCERki7pyTNnz5w5++GHHxDRxx9/fOG5C8MzA1u4EMLDtbV/eu+9zz7+pGlrQ7gwN/fyxRdX9i8Zct57VTdhQFFxUxHb2/EYYwzMzGXl9BwYY5qm1k6SvpDA1gFKjLGuxymJc84Uzlob2qD/670HSYpr9f6DmbuGkICIs7OzlNmkbdtqgScn5UTkvd/e3mZmVxaaytR1rbEqQfZbGimnlITBey8JqqoSQdWOQMS2baDL9gBAH0xRcTW4SqvRTW3bJqUUY5afFoa2bRGjnl1EZI5KJ1SD1WEPHEJKKYk1besnk93RaGQKFJGyLDX47VBWk1QJjsQHzxnYyMvew+nMHWMziSKH1tq2bRFQhFMUxD3p+77k0UffTdPYsqCum1MXyrcZJun9U++K+ogvdV06iklAP0Jkivfe2xc9Br2TM+SSOiVDBtH7JMzlYGjIcYrCcvvmvU8//fz99z9IEaqBres4N29efOnC2dMnjEHREoik3gdgJ5qhQI73e4N81J7q0DDseC69I+xDGSISVpSMFTlnTs45H4IhOxxWz50/83Bt7dGTrRgBCCYT/5vf/NP16zdfe+01ba+wlZsZDO/d+0oXhDnevftVXdcnTz29srQfOzfWe2uZYhJw19pA31DRyhGATH31iVr/G4ic9rYoQ1EkieZzKCig/ZxkyBHFGJW/kYhTCoPSsTVKvyfUJi4CRE2kQ/CIJLKH0HSBlNF70TQNCjhDKUnbtlVVhdBqwGSMAWEiAMzlJwVyEUmAEbEonJaitMIqvOdZu4gn/x51sf1C6bur+lvr6yoLMLrz504dWT30yed/vv7ljbW1x5ygqipEWV7Z9+rLLz117Hj0jbG5YbgoCiIsy0oEY4wc2Toy2ukgSURvUE1kndPQP1dq+iAypcScSaCkA7U6YAl1fiGKaJmfxdf19vZ2Xdfeh6KqmNk5NxwOVf5Iy7G6Dvop3Vrt4Wf9tZq+Wep1oJNboSz8ziIQc9BvACDr9yAAAJGN0QNPsVaVMgXctq1xVrW8iKgsSq+WnVlTQEsuxti27drD+w+fPL569cr9+/dnh7MSeXl5+dixYzFG7Z4InY4FEQnk5B46nEal74fDoTZ5t22rlE9rCuyQP7VynZdRYBwAQPGzrBbXUYI0Yzl8+PD58+eVMMjMV69e/eCDDzR7LksbE6c0pU5tbAodLzj6Bw/Wbt++3db+z3/+861btxLz0v6llZWDq6urQUcmli6xZvNGAxiy6Ky2RGXlJcpFCu0wAiISUgg2ctdoRpmGnJV0iWh2Zu6FF140Bm/eun7li2tPnjxx1v750md37tx59dVvXbx48cDKweFwWNf+2rVrG4+f7N+//5lnnrHViEgFkAUFERkzdRcLKTRue+P7P9ja2rp27WpK6Te/+QdrzfGnn9rd3f3oow8/+OD9GOOwGlprLzx/8dlnny+KcjJusuauMbncqISe3Z2JGlCdYqT7qjczcYgh00mYOYSEmCUJY4xIgmBUYlZDPMKcgozH47IsJ5OJ9oZ57003KpSZhdm5J8PhUONBZgZCYwwnmJmZSRxijE3TlGWpDdC6AYV1IhI5Z5waiWutqGkaZq6qClj0b/Wv+qNZFBm2atvWFtnzFUVRFaXGzkVR7O7uaoiTUhqOZkII2t9ZukL/nFKaHQ31edR9Nk0DgDEGIdT+k5mZuifHlmU5LCvt7dYl0mWs63o0N6tHRAVYNB5S4qs+Qx+ha1FWFfuJDDNba1A5zN3UWhXG0qAkTsZExCEOh0PVJB+Px+q/9XR67w1SVVWtrxFRaX27kx39c+tDDO1oNDIEwvJk/ZGKE/T99yLSajWHKPhgyEHmQyQV1gjJi2A73i2L2baJ60+2//Z//N29ew9SgnJgvY+zc/SvfvLj06dPtM1uUVjrTGFsbD0JEEmMyVjryMQQi6JIKapN18eTmEKM2ivBIsZYAOAQEQ0IRMjKKjFGAEQwZWGZozBaMpKYBCEBWn766cM//csfff75patXr00mKQlEhus3Hty6/bfW2n379tnCxBC2traMIe99CIAEbQtvNnH1RwedRZ0r5ZwRSTAle0LWql/X7WiaBgVZBCxrFMvMtrR6tNq2NYBdzicEBRkissq6MAatdSmlEFXzp4NDBVHEkZb/BRGsMwSYomgkTNaKpBDCYFBqOqTDbDBXuDJggySI+UoCAJCJ2hLNTUjRlRVwij6QpbZura1CiIRFkoAWAUSTPkeo4hlEZJE4RMCpOU/IbeuxKwP1ZQuFHLteNaWvDkNsJQqjDzFVDr718nNnTx7Z3NwmorYNc3Nzw7JAROFx4cgQkSFWWhxjCJ5VR7YwKlFrkCSFJBIjayuvSILERtN6RA5efUlZFCkDs6zlv8KWWdIVOcRobeEjAxIReR+ebKwrBS+GaK05fepE4Uxdj0HIFi5yFAAgI4yJmcEnSRyy7hMzqZHUoWJElDgZi8JiyYigs3l8os50YWZBEZTI0RgTORIRdsqAzLEorDEmJkkpNSECwHi8jogmFePxWOcvRO8RMfpw59bto4ePlGXZQHSlbUNz586dd9773c7OjjEWAPft2/fd7353OBwSUfQhAyTOQGLglFLSOYRVVfkInDgmMbbQQeSl5WYy2Xj8hARYoiHT6mg2IWdsit45h0ChbZSBj0QCwBKJMnwCXSTUNPWFCxeePHly6dIlY8zm+pPf/uYfLNGxp56anZ0FADRWgBkACQlTWRbM3DSTRw8evPPbty9duhTbCACJw4njp954443TZ89qP1ti8GHiXOmDFzCMaK0DwMQhpmjI9SAlUaabCHBKCQlTp6DQUb+z13fGKF/V+zioht965dsXn3/pg6Mf/OEPf7h7/2sg3Nhd/8e3f33p0qfPPPPM8v79szPzf/rTny5dujQ/P/9Xf/UfXnn528wpBp/DQR2jmRKzEIAAW7IrSwd+8MZb453J3btf3b331f/8X//j29/+9tra2u//8E+adqaUTp975vtv/rAcDMd1a1zRNA0nKAxyzHJGAGDH47Gii+od1VdpyAZdgVafQ+1XJ0ZouqCYrcv6LeqwoesG0UKRWuoOpTTMzCmIoOr3Km1S+yNtWWDH+NCltJ0UlKa/zGyyuqTXUUs65VZ/CXYjDtV46ZHtOAR7udRU7BK09U6DgNjNMlF/3CVkoGGQQhQaCigTR6ZktwHyuFLqZrfof5PPgYvtNF9jjN57nEwULBGRhYWFpmkU5NRvAkBPQdeYwNeN2dPPitZaZbrobdSWDDWpeSlYdnZ2EFEpVNvb27q52mQhKWsS9Il+3U4QMUMdiR89eqRFBB+VVwz9/AxdJd0XhTrQOETUaQW2cN7HtYdP6kkgLBHczRt3bn/1oCqgLK2PcTgwF547v7S8EHyzvv7YWCqKwhEiYutr3XrNy/VDU0ptzL5Enb0uvp5AVZYIIWjmYAqXUqpclt0gImG21raNgjHBGMOS5R1XlhbeevO7L774wh/f//TKtett6yODZWh93Jk8KhykAEWpPa9YVTAYlvv27VteXo4xxs69ZTAzhI4mYvocffrWEBFr33aXz/XwiUFSC6IXkLSAJ6lHBYwx5DKrfBoqsNZqPZJQtE5hkNAQoqq7c99sAlOSCcycEnsfux40kb0CcD9msNCAyRisqiImlk7VvKoKCaKxtbWWWZQ/Bnv9I6CnKIaM5Kmbny5R93CInqXUlVoQTMz0K4OIrij2zc8sLc4bY5QMiLlTNSREAdKPTikpigOECu506IWIAIpooON9k1KyGTbLK9PH2SFp13IiotK6vqbOzCkmMEVRFDFA68Ojx48//PBDEUgpOWdVF7bnBvW5u/depx5rFmu6nn5ESYx99afn5NvCcAL5hlgeauuNcZY5AlCMMVeFcs+OXkOOUZsESYMnGg5TjK4oh8Nhl/TnnmrNOpqmIWu2trbu37//7rvv1pNJURTjZnzw4MEfv/XDp59+2jnXti3mvG+vOQgRmROia5rGOMfMMzMz4/F4MBgYMopC7+zsrK+vj+Zm9dWqqoptZOYYk4gocU+XIvHesug3+/jYWruysvLd735XGX8ppfX19f/6X//LU089dezpp44dO7Z/abltW1eVPcC5vr5+5dLlL69ee/z4sQFTlmVRVMPh8Ac/+MGLL76oXZDSqSqoQklKyZAV0VZ4JY1xfx1MJqpDCHutkqY7w9i1TfUwZMptBVhVhbXu+9/7wblz53/xq7+7cuXywA+2tzcfPXr0ZP3RzGBmOKweP3zirNnYfPLFF5defuk1RIOUBx9oGKHQoH6QkkyPH3v64gsvPXr0KHFz+/bte/fuee8FSO3zoUNH/sVf/OTAgQOI2vGoEbZtmka9QEazFhYWBoOBLrQuvdod5dmmjsfBzEWh1BvR08wdEcx0yo49oKp5sGLgMlXd7NqeBUmsJa0xhxBA8gyovqdCzaiSQfR3KnBkOknkHqTKaYryQaI2F2Ust7+BMbeqMwDYQmFnraDv8bz0dRSIS6IxvtGnVWSi93DQVdwBQOgbBZ6OHc1deEjMzCEqd3RmZiYK13Wtfl0ldUEwpYSUnUfTNFpryDQfRRp90BELKSUwuWtIV2xnZ8d7r4qkGv1o1qifi4i2LBQbUMhRt1+dwR45iIiZdfxoOSpDCGjIOVdKZbvR8oqydNcgYznM7JMfDoZzczMhpMaHpg43rt569HC7DcAJQoSqhJRgbsacf+rps+dOLe1bsIQaP9XjXWaem5sxxjTtROPFGGPwSddWzwN+s/+HQxb+nEwmOsczARJRWZZ1XSPvjRgRkZmZmabxRLS1tWWMca6IMVpTbG9vDwYDATx77kRV2ceP1+/fv49oqqra2dmpWxgNwRhICebmigMHDhw4sLy8vDwclJPd7Z2dbYX3y9IhYjf1C3vnqiOjdJ1bJGb2MQwGAyKq6zpKHI1GuhEWqU92QcR7H1ICgBCMiAih9nR47yVmlVndR51Sip12R+oGsdiMO4u1pDFxSsm5EgCY67Ztran0SfuATy+4M0VKKYaGiFiUF8JExClrDQFAXdf6kgYRVJ9cz0DbJmZrrW6Bc445d0NlNKhtYarbSg8eIBtjtD9YhK0jRmEGhcSbdqJGyXtfuSolAZDOpH5DzlateIfE7k1BVEtSt62IqCYSZQaZy5SgrnUWSIwx3rMxpo2hB9ggGUQzmUx2d8YxwGAw+vijjya7NREKpKKsLrzw3MLcbFs3aAjVkwsQIALqkD3udIxDCJLYWjscDFNKMUVjjPcZv0TESdtMVf2Ve4hlWUZOfeBLXTohIjRVo+ydJTNXw0HTNNqRrxdW72kbwtWrV4fDmaWlpd3d3WvXrq2vr6u4m0U6ffzkT37yk1OnTjGzyomqTkAfw02FjAYRjXMisrm5+fDhw4WFBWOMJDDgrl27fvTo8ZDSwsLC/uWlqiiHVSWJY9xTns9pTPAgOlSZ1DKrKaZuqMfJkyf/6q/+/XvvvffFF1/owNwvrly5dOXK/Nz8/L6FwWCwf2V5d3d3MpmMx+Pdre3d3d3IyaGrBtXq6uqJE6eOHj16+vRZ6QZr+KD5p/KcwBhjyIzHY2O0dqnfz8atz3LbwJpSxhhVmKgsxTmn2aY+re1Fw0TGuwlJfIxLS0s//cufnz9//ssvv/zss0/qccMcU5QnTzYATYhsTZGSPFrfKFxFXbuv3g4RQclhX39QDx48eOzYsVu3rhvjWh+VJDszM7eysvLss8/NzMw8frzetkHD2bIsnStSSt63uuxEZBcWFno3r5dTeRZ6P7kjp2g6ongjdJiwRsfqmVRijzoacw/d699290rbBwMwFIUtSxN0KFxZag6tR7YPeAV6+KsfDpjbRVS9oS+Omk4ythdVwCnNE4UQiMBa62PAru2hdMVoNNKP1mOtlwp5b96UAKtXxiy34hQmsNYQERjKdgFAcXhNgmGqKVNiRgWstTF4lZ6Q3DHInMRai5TvgLW2b2/tM1QoWZWQmTl1kib6yvpxPUVAw5Ec5SS21kZhRJUYy+2hGU2Jvg9INaqzLpNpYYpyP60Bp5FBX5jUQ9l4n1I6sFKKYEj85PHmH//wcdMAEJCBQyv7ZmeHS8sLzz537tDhldnhABi9V/XluehbERmNBiEEllzUCCEEn4gogfT3nztCk7VWKYfqNjQbjgLqSwaDgcSgR65pmslkUhSFxvizs7N1XSs6onodxhiLuG9hZu7CuRS48S0KRJZmUj/ZWAeWSTOeGQ2WV1bmZkeSqfKhabgPdFTuQ5dUtfY6CEpLPOCck6Rq7UEvEQA0odna2irLUhsjNThzzqUsrCRlWbGqWA4qY0zTTDTE6Q+8ekG1iSl6AFBn3xeGrLV1PTbGaNjdS5dooENkc2Yvsb/smsnFwESUOGiiAwCERb/pu5Od2dnZsnI90taxmrPcGyIq/VartmoH9BoqFQC6zkYRUfq0Ggct+RFk+baUEoMYY4CoruuZwQwiphj1x/T891YiRQEA4yxP9aH05T9blH0RfVhVbdsqEjAcDtW8xhhtaQeDwXismt8Oc68HsCAAJYGm8ZOx//rrz65e+TIlAJGisKPR6NChg+PxuK5rNJrqgLAOgqKiqHr7qSELsAyHM96vC+Ok3mXmorDac1GWZVP7oig6waWc4hdFIQgxxhi5aRpD+vNirdVwWY8iGiuM5JKI+HoiIiLYl4qcKzRZevj44TvvvDM3N7e9va2BozUmkTl79uyrr756+PDhnZ0dTYGYWXPEbGES91Fm0+wSWRMjM1++fPny5cuSOooD4oMHD37zm9+sb24WRfHqq68qcA2ca8YgrYhoX3t2EJi3u21bbZ/WtBu6wvkrr7zinPvkk0/G43FZDVJKk8mkDT6E8OXNG1rGrdu6wMIYO7Tl0aNHnz52/Pjx44uLS4jm/r01IiJXIKKxhXRsqhjZWmvIjcdj1cccj2sRqcqh68ZV5NgLrR7XGGPpbAjBGKsb2mf5xpV9gocsZVmOm9pasoU7eODQaDg7OzN/88aNu3fv7m5tE1mfWot2fn7x9KlzGxsbVTnsc92UkvoaS3ngnn6EkvVefeVbR44c+eqr24/XnwyHw9WDh5966qmlpaXZ2VlrCwC2VqwpukvEmmDovJ+Mk5tuxAh00eLu7q5+U//bn1ru4EG9otKxbTV1FpE8u7rLMHpMvot7dFo2GmNiSrqv6rxjjEJorEsgwomkhyuNsGh/BaFlZu8DEyOiEKLt6NBCKkONJMrwL4qCOWcDkZMKtEli1cJENABCZLV9oPdtISTvPVmj1Skiw8jWWem4GxoNqPwSACJDinlMPQsklqgmjDKtnZljiiRsjGmC996reU0phRSbprE6XcPkugYRoSFDBEk0nxYRRvQpIqItrK9r9c06X0etnvc+CVtrQ5tlKBAxYQJDqM+GoCPvyNle1SEH6d0W6xno5d/zBQYiJEC9nM4QGDLC0ZBTXSo0pU7OKIpid2e8f//+n/3sX/72t7978ngzpXThubOvvvryvsU5MiyShFPrW2ttYS0UrpydaZoGgDW+AQC0xriyHOzlE23b9nSnPuxVu6M8CRFR5rCeZOfyuZ1MJkp6MIDOuabxal8UgNEJoTqRWQhiG9CY0jkfeVCUu/XEADLCoHSN99ErJULatkXrNPAlIkhZyV+zRi3uWGsRjUIOzjmOCREZMjpXVRUYvTgSQkDOMWXTNL5tnXPW5eMRY7RloTn6HoQWc7yv9R1jTJYrUYfq634dtBLkXAMAVVXZLF8dMxNYO2xj29tWQ04Bc0T0vkFEVxhrbfKQUkISZCycK4vCoGEQjsIs1kLv6dVSg+RH7XsmqSOsqDnTiNl2Y90RJaXQNJMYrRY1RGyM0RYuRi+ELHF3vG2tTSF63/aAgSbEIQQBcs4ZUKcYYU8QkIqi0KKDJo6+aeq61lhwY6OlXnE2ZaYREcW4Y4wThBg4RgDByFTX7e7u+OqVLwGgLKlpeN/83NnTp4Jvvr67qZs1HMxoPh0iExmR3T4AMuT0werGA4CCOkQkkDQw8t4javii5AYVVW37HRkOZ0II1jhdQyKamR0xs2+DMYas4wREtsdTm6bZ3NycmZmNMSkmNxzMrOxfaZpma32jKIpBWYUQXFWePPn06oGDs6OZRw8e6nUryyyE19dP9Q+6v772xhhbFiGEppmMRoON9fWycvVu1KhubW3NGLMxGf/+979n5vNnn4G+Q6EbyAYAWYYLSBdEm0Gcc66s6rq21o5GI0WJTpw6tXLw4Pr65tdff725uZnNpi3ath4UJdlieenA/Mz8/Pz84UOHVlZWkGVubs4YpzXTGKOQGY1G1pWakaoR0ALQYDAAyDVBDR2Gw2GfRSCij6KXPaVkUEsAhe0I7Bm+hb36WmlLZnbVAIDRUFHY5eWV1dVD586cW19fv37t2uXLl0Xk/Pnzb/zgh3NzC3pfphEUdcGK0UpKWmxSx3/46LHTZ89sbW01TTMzM6OKZFFYREajESeVrsowedP4ssymPgdPv/4f/88eEOsL1Wr09c8Z6UVkhhCCtXuM1r0wnFnzAyXH9VCBXsiUkkKpphvKVJZlrqI5YuYUhZmj5OZ7ItIhMWo6odPf2DP6uCdFqVppGgfkn8mKeGpNgJnbkGGGHkTScMSSERGdJNgxEiTG6MqCu8pNjL4oCs5ztPJoAZkSWurXLehAFBRmtp1iAUz1yPUZswKbZI2IGDDMbOzeGGb1nQZJC+d6DvTwqZ/WjR+NRkoI0MssCEVRtHWTi8SdAn9PF0idNtygKDU4Y2ZVu4OpBtMceHVc8dRNa+3Xv19DIkqAnCSyEAFLsibjrt7HetLWdTsYDA4eXGl9zTEMhhUzx5BExBLqgZ5MJsxRq+8ppQR7LHfs0PtcW+l6t/SRFGfSOF11qTTK7HnvGhlo9qxQtlreHrIyxqYUndOdwj7gM8bWda364SJclqWGg9m1dPxhY4zr+in6slf38HtLSoC610Sk6b4ti7IsUwqTyYQEFGGu6zrFOBgMXFHpXgNAlF7uNyc9ElMfW+jHFTpbQQ9JVL3FzBWIMerLKjSVd5wcd4TqEFt1wyGEshiklNo2GGNSCjFG7coBRhDSLFxDwzwF2Bhl16pPtdYqPBZi1HLMZDLpETgdxNLfQd0XDU2Una2EOIPUJx7G2aZpGAEAYhsV8DfGKO+HutnHMUYyToGWnnbTn2RrLYN2TAkill2ACAD1pLW9PoQB55wWKTRWY0HvY/AcIz/Z2Ll37/7nn12aTHQkB8zMzHz7O9964YUXmqZW2KBtfVmWnADRRMXqkGLMrerOltKJDfRnO6VUlHv67TGyc06VZJR1oSGXBhBENoSgLP1s3ICJSG9TUQ2UH60j3vX+IuLVq9e++OKL/fv3Hzt2bG52wVq7ubl5/fr1nZ2d2dnZgwcPLi8vD2YGxhjFvfSWDQajrOXVKdP1jUUAUJjCOUfOtm1bDQbW2q3NzStXrrz9m7f78y8iVVUdPnr0xz/+8dLCou6LiBhyPSRcFBUiCuRY0HtvbeGcC2kPo1K0fP/+/cPhcHt7d3Nzc2NrU695Sunx44fz8/uOPXXCGFO5whhj1VaE6JxTloNvAyK6asDMIfLMzMzOzk5RFJrZgxARqXd0rmyaBsFkxd+OZZIkz6c2xhTWGGMAMPbTy1JCxJCkh7RFCZrOIqIrrRqHoihU4HKys3vjxo3t7e3z559bXF5iZuF/3hdNnYx/jNF2NB0NL9TrGWOsccaSITupx5JVWbWGlRUjFGciIkWJsq/8zf/3/5Wyvg3GrlnOTFEnvPeKAfRAsV6JlBJzLmybrieqS79yBCoiw9khM/va6+Z1evikoxrFCCIK6y+UPgPQ35987nztTacOwMU9um8uuise1HvxPsDv+fzWWjKgDkOTHnWlug2p08wB2lM46QOgPhrtU0nmXFQzHcG4D0c6A4REWayr38jYTTTXLsm8mIw91EkGnXOCOdhq21ZS7hvsHYyCxn1MRkQmg0um99M5ClHytopFCPTuX0+GLstwOETUqYNdrUT25HVFRENjdczUyev2yD+QYabE7Aojkqyy0wEQsbDlcDjc3NjKz8Pcxy46+iyEoM0dagjI5aUzxghqc1SRUgLe697sj0fv0jQMMsaVZe4vwq53ABFD23Cei0OQcrYHHdNQa7eqT2kylSyTPBT2MMZ432rzp35iCAGt6YNOmJqI1T8SM0vMc/m6+COvucYuPc8jhGBApv+t5nZt25oit7Egoh6jHHLFpDdIsXrsui6hgz2ZWUeupo6OKiKm++dVVdVtEBGRVJYlx6ieW0RA8mRFa60xGEIoyjzDg7rasN7KEMJwONSzkX8/kcYWitj5FHu4KMaoHQd9/6eIJA56SdUO9GbOdEp1rP3rKYHOEWEGgLZuyrJEsv3PK/Cr11BtS+/nqFNU9CkSZeUMFOkh/e7TxVoL3dwNZkZDISRrihjh3t0HV65cu3b91sMH287paDVCxO+8/trLL7+0b9++uhmLSFmWSdBal6Ko+F5ZliFmkdRcHZ6iGsQYje0708haG3zSDmzqJ4CIqCqciGhFGQAU5Feukv5wTKltPZEtiiJPZMZ+PhMIw3g8LkxRFMVoNCKi8Xish0SRp/n5eUW/1AT1CA0i9lM2+iufg0V9CWtEBNB47wdV9fDhw//5t//z7t27esedc/Pz82/96McXLlwwAr011p2KQYNXUGffLw4YCwCGLCIq5KbkOP1b55RLlHOAoii0jZATlOVA38h0726MQR1iRwYAEAwAKPvB5GEorFBxSgmRepYJJ+hMQea0+pg7Kq21IXpjjE7Gi1OEXMVjdK2qahi62b5d2xuLSOHcoCj1OTVzVr6LFuD6IHUvy5rSdkudxgMiGtLhKRaAowBi7ttKXbuNMUYrOJSZWK5/hj0lNf2D7WhotiPExU7QMaU9ykB/+dXa9rVzzFx30GJSHxumjlnTGw69JJ59SknbURTkxK6Rujfc6lYzYw77xuW8NDlpFugvCU0NaIeOiwBT+lPT6UXqaH3ZMJGVTvVMa+qaden/Ukd3r+tajVSfrPRr0p2AvSfs37ePBqijKIuIVYhB95LAOQcdMc05FyUneX2w1Wfq2BXUlb+q764/1iP5RKTDHIRzqyt1oWIfJPYPqZsIKTfR9kjJ9Cfqz1PHxDTGkjE+BMNoDHWYfMGcmM36+mO90sQSY9IIJoQ97XRFmTSN4K4VQgMU/fQYo6qB6sdlVzF1NvpLEkIAhO7AQC+30HvEaZQM8vBf9Y4y9Tq5EK7Zc8raWxkk0JvjU8aKRcTavI80NbvMWqtP0rt5hZeZObcPqFOMUUSc/QYhue8skK7XI8Yokls9U0pakuijMQ3+FLw1nUZF92w5KiIiqzqS3td1zVlNFmKMMlW5Y9aO1oKZibKBDiEMqhF3Jby+p6M/0tkT9JqSIoygZ2avam4yL29vOzr10P40qs1xxvYblJidKwWxrmvT5YtE1PZ66QDTawVTKFT/zRijVvpiSNZamuoC6JeUp8Y54hS5+u7dtff/+OHVK181EaqCAGAwKJwzF1547tvffn0wLFn20juyhYhKCTGrSod6MSy5G/mBHVKFecQRKKAYQhCQqiqkG23XXcw9e6UVKGNITXRvhAWA9jjCUBRF7XO9OYRQlYO5uTlk7IHrfnm1mqvhmgJOvXvT1eAuz+lTi2xCOxm01I2AFJHDhw//p//0nz7++OOtra39+/cXRTE/P39g9VDbtsR7kEZ3x/fEAbmb7kikGqksHIloZmamaRqdVoc5t+SiKNBAH0BrCi5da3eftuXSsKC1to3ROceJY4zVcLBnYQC891WpLVSZPG6t1dPSL5QxWs/NUHEGR9PenPguC99DT7UGoaCa68jjhkhiSibpjsfIQPkoovnGKA2Ywk2nUJAiZjFmg5CFNYmIOZkp3lWPNPRRPjPrFuv2Za71XgLUeZHUSU1h33igSXzhmLlVpDExMhYq/NLJngCAtrrqYtW+7t0bdL0KvSuSJESk3aVqxfSxlO2fhxkLaISOnNQr6F2NrKMq0ToHQtw5fgUY+uGnAGDLAhB9ZIC9mMb7LDUBIkqtR2TlgWsLn56h2EkbSofh61KkBNZa75WgkDept2jTW9XH78wcOU2DB5yJ/bkVEAmqqopdI1ZKSQGCaesQpwRbQor9xcuBS5LCZd4fEenERvWyMSUtr3ISZwtE7FWGEI3myQBgS4uIAhBiFgFVB8vMCYQ5CQgSkrEGhDkxRFuIQIwJrCVrC8gmlUUwtm3KZSe0BoKvfcizKdWXeO/BEHfTmQQhcirdgDlkkZaUg9b+QEuX0/ffR0PShUF1R/xOKaGOUMzqfiAipc1dmt77wIm6ghF2ACl3OE13XCklBjIZXWSZDpj6AnDqphPp7rvCafBUFIXWpJ0rEdF3+9X/Em0stEgKgwMAuWI6gjTGKL1AT1ECERDb4RAAKgoZehOGqrvUXXu9a7l8jhYEAaE3TMaYGAJlhyelNZqU+xTAkN6TKIyEzCKEfWVHfwytiSkZZ0EgdvGjUFZ41RutbtsUjmMuKnnv+1nGXRBJMSZrC5C8icxMxrZBgahSXZexAmiUIKsgrTa/9ElnH0BwxzVGxMApxkiK2Uz19E59eraFGe3Mw9ahqdudnfH8/GiYsCzLlf1LR44cWT10YHX1QFVVauKKwiqE28dqiKjugaeorxrz1a0CeJxSUsG0TNHVAo0I4p557EMBBEgdCKFfGgJi9zOKiaaUEEzbtmSsiIBgX+AvTJE6SXLq5jh7740GW5oRTdUlc0xv8sPrz2P/BTnsIyJjSSEKEZmfn/3Od16XBCJC1lhrQw4LcoTdx2QqjwEgAAyIZEDLuIo/cceMs9ZGFrKGE/iQRCR2CLSIRMlCsDyt6o1IXcUTiHyK2GFFiKgC9X3u2juslDQSNf0W2G5iL3UkeTU7uScCTZ9N9RkI7RGeMOrIxT5HAjDWphSaptEpdkCks84ZcrDTRxL9mcniKEAi0nRdFXr19KO1VJ9S0tNnC8fMxlAeoLA3MDdrrHnv//+3qiCjSUD3EAAAAABJRU5ErkJggg=="
a + b < 0 , c - a > 0 , b + c < 0
"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"
- 0 . 2 2
"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"
\begin{array} { r l } { U _ { t } ^ { ( 1 ) } + \mathscr { N } N ^ { ( 1 ) } } & { = - \mathscr { L } ( N ^ { ( 0 ) } \mathscr { N } N ^ { ( 0 ) } ) - U ^ { ( 0 ) } U _ { x } ^ { ( 0 ) } + \mathscr { N } N ^ { ( 0 ) } \mathscr { L } N ^ { ( 0 ) } } \\ & { = - U ^ { ( 0 ) } U _ { x } ^ { ( 0 ) } - \left [ \mathscr { L } , \mathscr { N } N ^ { ( 0 ) } \right ] N ^ { ( 0 ) } , } \end{array}
"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"
= 9 \frac { 1 } { 1 1 }
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\| u \| _ { \sigma ^ { 2 } } \dot { = } u ^ { \top } \cdot { \sigma } ^ { - 2 } u
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vOlDPNZ8V3Kj0B8WKhfUE/Z08N9qqnGg2It5Io5E56UKMGluLHMvghgGQobfj1keDMCGBXXZmLpVkQpQ6n48oq67EvVy7+SwAAPrEZrVB2R75lTUWd6//DislCl0Vv0CA27iTmYEDJNwjJ9tmxmPMEgIEQ+PK7SbT2UKO/LTi0SZgmW+eB+3zkqfbT0tEtbc0ENG1joAKASqEYK6nP2++T+t8yx3OULukuvs9CjlhgXBp3h0Tu8mPXAHfZq4/zEGW5SMRnAdin963oYh3NhwTThDW1dCVizSZD0rRjPM6AyvLvNbNu6FX1K6dnn/DME2csKqY9vtIq1z8KEslmRKlikNtjJE0nywP+31UM9+bo5SdZbsbRp0DPArbz4clWyLA5lQR1f6g7/SRA+WpuEcUoGOJuiZbyPGf1jQN9ILm+fn22Zr9bBrKeoNw4EiC8Lz5Pq3zLSM75EMAyfQQQUyazHEr4PvM9cc5yD25tR7pJsi65ngw/8nb6YtHo0oPaupQWCl9ZDxFDG7Ro9+ECdMDRv1u5tLY6xmWSjIlSikafe3am2SV+67zefCN2x/cZTONGmBtI0ExyJO/SIAH3ZqSpdngQcLrt0y0DpSnLMvyVq2quwfujhbSaH8mf9pQNdBLmucl7fO2TVa5+8k7mO/zOm/cx/UjCoADTER5laB48BYfZKjI1vdHrYDvM1fvICeIAFDOeWXcq47l6OuHsbHn0XwnLA93rZyxMH6X27Uz8I+D2jQ2rz3EoJsZzfbqlrBYkilRcrTDX9YUueuOLKNazx9P2jyJu2y2xXUy8cGrXijAzXHKylIeSd0jCt6+GOlQnrI0Ov2uw1N6LWRvF93kT7vn1hFxs83zXPs8sodvM3uY7x46X5aVbC6dqk7G5d3077BHP3sg8VEr4PvMdZODPEB8/esw5DQCQrlzSn8c9PTDHL0ntOpIE3vKG8C9LCNjleZu1x+sFUbXttYudwDHcHQV4Ik5SfO5yySZEoV3ayFotbn/zuaoTonYlI5xpGw9i2tlGlrcUgFuDE8cmNKmznmvj3QpT80jr7KW0YE59FrIYUKA8Z8a1zBgSfM81z670xFsZw/z3UXnK0mdfa4qcM3+p/0iH2R2QuOgFfB95uodZB9DTgqgzPMtYxTYL/+B4Xzo1X5YvepzB0DCxPFMO5HPAw4N7C4Bhs5wlyXI5ZJMiHJHa8o5WjN2STRdFgFszAzkLlvP4tq/Bxa3WIBHsFqqXkGbNOX8fcl0XMpjkDM4Yj3uwHwYo/unBhEc+jVSxNVP38we5ruTzt/IWN30PSIbmLtz3rzHMSvg+8zVO8g+xtvCWCXfhOi3VoldJb2f5hj23fpRxbz6SZP2gke9dsRO/nWFS4+7x16HB0TCUQiDeaFWSjIuSoTWdkVrtOOvexwB9FuBZWK4y7bY4pYKcCNA8OwqYnuUx9sSzjmUx+RBXVVlq9fISSbun7bUeaDmZ6XRU7llT9/KHua7j84/yGjN9MZwjndA59/sQSvg+8zVr0GOM5qOcjhVkdDelb2XLxwW1p8j5fXaRpv+h9gO0F6bD+BabzcfG/ZM6Q7nT1YItVaSUVECtN24wOrbrbapQWzxQjHcZVtscUsFYBs3uvXJm/zSbJfbzdNXHptk0DyWS1tI50/NL9mi43bf2z7vYb676PxjoufSd5CDkINkPm7mqBXwfeZ63NM8vp/RQ03PvSQ28nTe5yzbAgDCm6ieqi+DwznaFBE6A9zJktoPI4LUPOCEWN8O2Feo6qdjohhHk8r2HUtgfX6pEL10HIvFmHrNsywU4KLAn00HDADgyeMaEgBqfVk30VcemwAYHlpln9Oh4U475fxpTZW+JWfA8GiJOZY9/bVMmu8uOn9Ww8M6GvryDpqueDaN1oEr4LvM1TvIccYcZGzbd/F1mk2ztNAIKvdFo1uZRwGAuH/jtjjupHFWnZOgSj61rAxLhVolyZQo9XO0pbCrbarv8FfUzWzZFjElgE53yuwHAEFyfzp14nL6ytP71nXcErU+K+DujTl/WlGnNyObGuhlT9/IXuZbsV3nLxnY5rMG0gIzhzcctwLwbebqHeQ4EnCdJ6kuxHiN+vw3C5PBZWz4z37u1L7v1QAFZH2Mmrjeg8oPmrSWmgKuM9n6D1BTBzxL2RVpkVBNqZdJMiNKXYb254WqDlpdB7cfv1iMJWVbxJQAmd61G03Ca7v14+VMKw/BsNYZmokDoDpvxfnmXT8FYKT/3NRAL3z6NvYy34rNOp/FoBP5UXs30r2P0vqg5VEOXAHfZ67eQY4yMoDUZ+scZCKDezJMOUxMbanee7+5sTWqSdAr2347vfLRDMBp4Ty2yrYJu09X/dt4YHY6dTO2i4RaJ8mMKFWD0x2Xsvgkrr9/jFtZJ1qvEGPZa55kXoD9u9EkHOa/fg195bEpMBxWmWcko9Bjg2fXTwErPTbJyeoGeuHTt7GX+W7W+ep3Z5Br++rUQGkZrJThvfN/pQImB5BHroDvM1fvIEex296Wi+LCNIz8Sh0WT23rQWinu79kQEAtq1OolUwbPzK7rcYz9AUIHApoH8jVN2HbzPXZ6C4tE2qlJOOicDTrUO2SQJq5RRqgi/6zNokxWrZFLBPguUN75Pm/P39OsaVGanVJt9JXnsufP8YEWuE4TYJRQDfXSHQt5PxP0Ts+YlEDbb/a0afvwg7m+4zOV3xpiLb7W/w79b/vnlBdAeslxGNBCzXHroBvM1fvIEcp4Jogy1JinyLqVrp+B1xUpznW6JSib3UZENL6jxpiVZgxmr1oUNdavX0mmwYGJto98Et3ly4Uaq0ko6IEAKoDnVRdYHVBJ5L+8+fPwPwbpPksnbbPWinGaNkWMSPAshJMos+nVAPy8tcIMtLnv0+sv6x7Pgaziqn1V924XP78+fOn+lMY18SwzuV1/tS6t328EptpoI2oi4aJpz/PDuY7pzKTSg/0Q0jaIVVXAQGtppYqCjuMT8rpAeTBK+Dt5tpWx9Pxtz+GqPcuCBzbBu8EuSOOeJAE+IZeqHSbArAsy1JU4cnc2HbRZEMWxl7eqx3STZpbRmMZ1uggvZdVKoYu3USIbtPIUqHWSTIlikB1kxxdan0jwwomdoeZu10eVt7/NWK4y7Y4bnxOgPZnm+3L7JqJWsQHm9xkvyt95RGGQt8IzNTdrZCdflkaOvZTgwT93No3MpVG8AoMTl4Yefo+7GC+cyozpfRlWd4JEIqGTrWMCrihK+WD2Umm2q1Xbg5eAd9grnV17OggbyEnAMKdVfPldP0q6+MEcCSeYRDlokZ4sKHXOIntVuvRg3XNe1CrlJnhMbBVMKralocYU7+H3aglfQd5I6hPyayy5jf2s1ioVZJMiVKGAIJ7fajSlcM+Bmmq58YBkGq7cEKtrFhrxHCW7W7k8ruZRWBDTZgWoCvqxq39Agiv90dSd8PDa1mJ+7bjPfrKI4DmlSVm02k6yDtBlcvSThc69lMDx/a+8ZQxZXmnwCAb3sjTd+J5851TmZnhyiAkr3YZZgUk1RPKSlfMF32feScHr4BvMNf6te7nIDkQJHlCth6B9204HeSjSoXNrvfetexRLmqEw8FpjaIZCkRtQtxHUJ9vcOdgjVchdT7nR9jXshAAd1duWZaVYhovf5j1/1a1t/XohLbXLRVqlSSTopRXgirQjXACgFoF7cx/SFNZVQSa6N7EKjGGZcurbnkgRFnmQrDq77y8CxECoELYIkwKUMGx9TCP9siwMrfmI3dv90fpK09e72HgHDAHG2b7XGfH5RTWaeVjPzV4sOH29xtxbokXgrejaxYIo2rdT9+L5813RmWmlL5JRW7C23J1FVC96up0Bct9DZuj3u2PXQHfYK51dezpIMOyrA7m2u2eb0EgzCuMDxNeY73mvHZAHMjLR3eKuKMRzgfeqcw5wDknxu/KKwPlnHXn5Alyu3MaChGQ4fEheUAAFo41uoE9jRI62uckqE1IRE0pVgi1SpJpUcoyCZtVCtY79/COKSXKRVhZKLNSeK8TY1g2AYBwCqBudDgAiCpBCSOOIo0L0D15YzoR83if7oS/zQeDbGCoPLdIVG1LYGa8s9rnsrwGFCD9PGvun5q4vKb70r6fML9zP30nnjffSZWZVnr7+MRRB9k8gfBevsVZTTx2BbzfXJvq2M9BirrHQgZdlVu4wzH2u/FgvWZGLG7EHqQe6HMgL4WdWal/E+44xeF+FSK5Oz7rbC6/lWV5T4bXLSge7CHGsgHMKqHsUk9LskCUu7uEOdZnaFspxhOv2WREgO7JW/NtWaW6hwQADd+Wrbx8ZvT7c9nFfMdUZovSLyfPRw66/Azeb65NdewfpNN3kI8AdOeKF0IIx6nfy3iEvfH1cgdpLgNQK+enoxFu1oPfh+itw1P0z7txsUqonemfiFCTTJ/44OR7xBgRoMY+f+WzWKY8ntWMqcwWpfesY4W5NtXxv8HI/UkyDWs5WZ20qPdjdjn0uknsLSilNDCXR2YMkoTnrzDaskGt3b+lNMjoDrsaHmS4XKeu2Bmd9gK5x7Zk26wSamcUnElVMmB1/XyPGCMC1OybJOC9LFMez2rGVGaL0nvWscJc2+rY20kzO4r7RrrNBEaSEyKe6ixN9wRmMcPPylJAPFYe+rgoEORB3hh0WJZl0JvTvWE+e7/J8iCd3eDD2LmyLKP1p6zb93yfGG4BWlbWwIFYqzyepYyozHNK71nEcnNtq2PvRAFnZWRDAvRJtxmWaRQC7Ha75RHV8XnxLS9//vR3R5PnclySnFmnImT/nU7//ux9TgJJgPNULtR9SbPezleNw49hlKuE8gIxdmLB0XAKYLHPMS9v5wOU50Nxq8wnKf3nsthcu+rY2UGeU5Kbg9gvze2pUMYY4yInyJ5JCSInh8rzkMQ4zCcUQZ4nHPG/7Xm8nH4wSKBP7/KQqZWoEdihaX550Y3U+gaMXzefWODihWK4BejgGCa5/gw+1K8fnxGV2VvpPQ6Wm2tXHfs6yHNKLf8opbUq1k4BU4ZtGWdriudGkAALuxVRGkWch3kANX4A3hCr3dOFsyEME+jTE6nnV3A5g+V25dt55xaxRKgdsROpNpD82SyObxPDLcDwms9jg/J4ljCiMs8rvWeW5ebaVcczQTo6lUoDvD2i7Jwy+zSWGMwsULdGyp5LKakAhiJWmq3I9WsRpoW03xXPIJcF/hSpBGLwSlSdFcgKINWUUGaP4EP2VZyz8OW6n8YFguSpJf7lQu3H9Jr5Jt4rxgsE8PxsvMp8H1ve/RMOMr1oGiIrWl838I+FtPISK10dl4pnzzkoCjCSngEU2X1bs8eIzmwHufw+UnEAaX2YmGpWUzMAee8u7H5JpRQvnj35p8DFkwcFrhBqN17QWLxXjDkBnuwHen4e3kF+H1vMdbuDPKcQESD+ax6aptVpnsU5qj/J7BFtt3Ko1VNzpArg8SUM9Fkjmz4kexSeZdUqrJTtppOFLWhoDTT5ILWERRSl8tUjyIAHjopf5w9WCbUTjO15njCAd4vxAgEOgg/QeRE/V2WOz5Z3v9lBXir/CMJU9VB1RqgAIG7P7urF0hTtP2Ntn4ZSZEUBQpduj1SAkkkIyHTz8hKFruZYZZzdSFXYrVsrpwlfc1sDdx/h+G3cx4clzAkwcub2B3B85flQPl7nP5gt5rrVQcoY9dJjoiu3du4yATQPUfbjZDNsjGOYB/fJuB7axgjFEstUgExCPDVNS4Has6M4RUCWksi3Cp7d8Zu/PZ6PoW+uWx1k3Prj2gdKI1qveYi2HqcLQEsURVaAGzsSLjFCzuM4p1maZlE73irq+E+Fdk9I/UjZDMuamdrqoPV2/GlMJVMKoMg0ABKYDpA2sY2BluoEkGW++YP4YeJ8IvP7ro7Khxbb49mO01y3pSTIl+TZuNuZKNsxIxFm2hpeHRlTpZfOSZdue5i/Ht0XVSIcWqU7vVXfRo4fkrI+2dG8oKx+0xbu8dGJfEfB52YC/SF8cA18cNE9nk24dH7jCFIC85EnveVBBQQhpFSaGjOvZ2mGvvL8dCZzd1ZASABAFdUIkUVFCtEuIbJIynqJM9YALuAhAdLsEnZPMid/yc9cNufyQzfh/RQ0PnUJ0iuP59fhNNeNDnJRsHLvCgVwDl78xbkLW5F16Gv7m+vpXG9ia0IQLzFyy4O1IbBtlKyQqbECS4SW9QJpDEDpKsUM/1u8PJ70UDD5oWlcfgoSzya0+D688nh+GU5z3ZhJZ2muN3NKt/4NDc1zPWL09rdzoeOZm7YOspgtBWGArs7PBIJen/inr7MEqDYAer4JCdBPdZBeeTy/DKe5bk81t8i9GCkdJeo0AcxIv1VI1i+SmLPLomg8npztoD9ugHQWtfj58YWMA+9JdOdxodMlCxEHxSuP53fhNtftDrJ2cmpipcJyTKrZZ8ibqFMA2bBIhBXTix9trJHS1RLkGF/NQNXlCX+Bg4QA5Nxw3PMyYoBsTGNxALzyeH4VbnPd6CB54yDT02l8qYKac5rtn5RCZ+2HwzlSPpPHvF3/rFKWu2dktZQym7Lv+enZz4cLIPahFt9EGgPiczthXnk8v4kRc90YpMMlYsa0zDIykSObSV20Q7xuPpSnbVpwjSaVqzac6XR0gLkECeiT4g5Pl85NDz19IMgnEEmlT8nHTvN9NOkZCD93AOmVx/ObGDPXjQ5SZKr4BwA8mhiHBXF3QMZFA/X5GQzI4qYs3cHJSw8sbgOECJAWhU5cJeCsCmGduMvP949Afs70VxBOzkR79keqtABenaT+xXjl8fwOJsx1ayad20UqIJg+bYrRIqsd5EkCiOMSAMKLxuXyqEaeSW1+Wdq42pmVj26HSZgqSJo7PTSLgGxifqtQnxs/sQJyTeMiyz69qf40LjHw/AEr341XHs+vYMpcNycrX2Q04izrOVYrLc7D+LsJrJXt0ZGytzgouPUB605oyFNNJzKB3ydKlmI2H8HPIAxVVmg/CHgrlFMa/IB37pXH8wuYMtdnDkyeJ4yLOJm6gEk58Nt9Bzme58YRdBQX1vNULBhxpATRKcLPjZ9YB/vxwUiH4/UHuLwLrzyeH8+UuW7f5rGIBGkx9X0w3PRYqGcWPWRqhcBmWQbWBP0U3caOs2Z+3sjj8Xg8E7zYQXKBr6mYVMaKfrhpvPfiIK33aupuaHrJzOO2PB6Px+MZ8NopViDS6ckZZlqT/IsDa65Tpus3V+tzAZwAVLsti3OBrJpWLQBQLk8Bgc50vd6pLynJ/cKKx+PxeKZ4tYNEQuJ/YTjqIpmIT2a2cvXVT866AC11ewgkodASKJqZXQJEX9UwlVajxjQuzOMoPR6Px+Nx8Kecv+ZJijjjExOa/xRJAuAS5xyIY528IMChKIAmLV3x9+Pj7z0ej8fzet7gIAHoiQGbjmPwgGVxDpkV5PWpO6YK4/F4PB5PxXsc5DRF3AbqhJH3Xh6Px+M5AkdwkIDOCgVCaeDdo8fj8XiOwTEc5DgnyfP5qzwej8fj2ZkX74N8lsv0yVcej8fj8byIYztIf2Krx+PxeL6JQztI/TWVi9zj8Xg8ntdxaAd51slkJlePx+PxeF7FkR1knPkd/R6Px+P5Jg7sINWF+xM3PB6Px/NNbM/FWqRKAqABbc6M01VIjeHVLgDAFwwDL+1f7dX6i0weJenxeDwezwvZ7CAvMUhAdVbEEI2DRKoBBMy4BosOJi6qXwJATEJBAOBSXJsTN764j9XxeDwez3vZ6CDVWUEIAkT/CjRjPhrpFEB7/mORAuBLhoE0QgyWAFqlRVxcAaQpIxLQ0FJm/mwqk6J45khpz+spisMunnvl8Xhspsx12xqk/lJIIgKABEB39wK0PXcKOGtgxenHjDHGRU6QSQAXqNPpdFJQpxiHbW7ejzz//XvqHzLtORbp6c+/+IAB2F55PJ4BU+a6bQR5KiDqWU8eG2c9agTd1v5UMl1g4rBkE4X6SsokJAfqA7IuikVYepOfT3GWAFuyquv5RrjOlLoIcazUwl55PB4HU+a6KRfrJQa9u774g8d/qJOn6r86OQML7/+fxo01NxddnI/PxWqiTho88VNkH0AWK7D8SB7SK4/HM8KouW6ZYtUp4FxZlKCEoB6rnrXQWDo5qjRIPUxUgFVO7br+d6JOGmHum7hPIMgZ1OlAyuuVx+MZY9RctzjIWIM6HZ8EB6sdpMyoKBZPjsr2Sq1Mr6oUlM9X3nDWCPzWlw+B5Azq/N2l6PDK4/GMMmauWxxkNhZ6U4CAVVE6+oyIyMUOsnOlsQZvf6QujPPYRxVUXBT81tDPgQhU8WaHwCuPxzPBiLluCNJRBeDelygrL6cBxEUQFEV/irXIigKEDuMEZHNlHINc24+ZX380SAF/ovQHEdAC6VFCYrzyeDxTuM11g4PMAOJcylAaHDyGCiBjkkAB1LRJGdcOOkYorDvoAtASRZEV4Fdvx06y5Uu6nkMQxMj0MbTZK4/HM43TXDc4SN1Oh6bVcmMTc6pACQiggQsiAmXb5CVGyHkc5zRL0ywyB6ESwBcAEBH4LR0jSKzZVer5foIYyI6RBMorj8czjdNcNzjIbr1QZ0WVKqBCIQAYUOCieAgUgDFOPEmaVP6SCiG/zuY0rQKCEFIqTb1/HGP5iq7nGDAA6rsLUeGVx+OZxmmu2zLp1LYmEgBRu/SvQAEwqCImSfWwbgR5luzW/Yvn5Jx191MA5zy6AgcK+zsYuujtf/EcHnYUB+mVx+OZw2Wu2xykaWvtAFIrMAAE+oyQVsE8ba9VptTahsmuVSa6+tvqShqa53oAQBGfT6evy2FiAb8RBT8I+DTIURykVx6PZw6XuW4/7gqoliNbt6eqvf5MQrIIRmQqAMRI7B4sF3HcLF5K1GkCei58PKrH4/F4+qTGBm2rV0189+Bb+diK2eAgKaBqaa1JVFn9TVDn2TEHkIVk/Rg6EWdddE+9IMkB1cURTUT1/EKOMRTxrIEAkEcIHv0dypPGheje9sn8KrgOrva8jQ+pGJe5bphi5WiyyenMynpTheQw1AdEmiPIbBhCR1ih2l/WUArdLk2eYponAQFAxT3H+ZfnCzhQ1jLPQg4z6/EblEeezuaJDHaf4Jf3rr+Vj6kYl7luGEEGtEgDDkCfzUGirgVnnAgAkPZLGY6kuZL1h50r5Slk/crO0kwey/PTmfg4dc9H8Rv80kEoLpn9ge7OalfD+SvPu/iginGZ65Y1yNtJnUICpNYS5EVXA0tSH+aRopuKhUYhm7+6HoRuf9mMbBmQxZV/HUT1nM7cB+J5PokDHgn5M9GXFCHrnekXNvH1fw81TvlVfFTFuMx1i4MkeZylAOGBPrcdgL8FkBmHZ/0HABfZ5orr9m/YcarASQKI4xIAwovG5fIgM1E934p88ZHsyp2n6OCL2Z4j89OVh8ggolDmKgzhTeObFvRQ7fBv4uMrZlMUK4kiVaWb6+Trnw/ZPweyOYguS6NmYrU+W9nKt/qo/z8d1fN96DgrIrHzTaUsQNsUQmcVhI6JB4JPH5EMc/P+FMYkkziIxJ+vPDPkFL2dnl0e5xh7G+wKfq7SL+OIFbPGXLdu81jdJW3CfCVY99f45c6oHqWe6wmb4VMMW5LaxdZhI/uQVhMQcZOENtBZNnKw7dialsoKDQCMs++ahdZSFRpgZPz1pDHYbcu9M6UAgFG2z6sv9Kr7zIu2WbJ3MqI8+qwRTb8PnSmlHOGGY59vQF7U8Gh1lSmALbLTiUmdF45TXqX0OisUQAkbXVQau2JBidbhrJgVNbNDxXyvuZZvQUC0f+X1Xwz38R8E7WXC+Ct6rhRXu3vArit//+AAy+evW3tPIvKcA+xRfxYRkKR/4X20thJTEfi+xVtIYnRn+G3kIg6E62/9MI2IiPkfzCIA/pi/rGaJaCOS3QGQbWUc47rhDZZTylMKAJM6ndcV0L9o7PMNPEJH8a5N20qX2qkAHPpBMbClfXiV0t+N+7r1feyKRSVag7Ni1tfMUxXzveb6Jgd5A63/av3dvf3IBUeSV4SI6r/EiLos5wEAUZ6XeZUWdp3l3OimFn66RKxxjNxQohtzPGmkjXtwAFTkeeX+g50LuIRq6Bte81wQAGREL1e/8LIsyxsBiLjeHtdwvMFYxR3A4q7WMtFGJMt37rBcQ7K1RzvqIG8zPq7qn3AR5Y9Fn28hIo7iJQAReXlly9XG2Q4nIM+X0MHLlD4BQKO8fCQcAHOMIkauWFiiFTgrZkPNPFMx32yub3KQJWuK1DrIcLKxc0/bP908AmjGrQkAMjGGHfCgu7TP9j1b/1gKGD2Gh8NDMmdLdiMAqfVHrFClPRGdmd7IqFO4AVhtszcChLUdhdNN+eJbrtGkRaKNSXbds8Nyq3NJbfu1W3nqLybeak4AEg0bsrHPN5DXEyD2p9e2eQsANCOVuxhg/MbZDtPdjbZ92EuUPkFn+iHgGEaMXbGsRMtxV8yWmnmmYr7ZXN/lIG+gjR+orDGf7j+8ZgR5NxWOr/S422YIpwm7usqtaruTQS8ncLVkN2L0kx77eJDVCKOrcR1tcJMt840MYO0/AOzRJPMVPaNFoo1JJvYZ8paddwTdeD+n8pRVESeUJoF7fmvs8/V0M+j2x11v1DRaxwHqxo9c7fCrBpCvUvoHMZqoBzVc0OwVy0q0uCDuitlUM09VzPea67Zk5ethojiZUQLqq7+Now/lFQSs/uv5aPUCRpjSysOIYgm6dxStTIGwForAjKOgCXCx4w4pemkMAegvDVyb10L4t0XMhc2yREAwLCYAQG2ov0x1x40CHLvEIF0jcVuxU2detCnJdqiPIv73Ly4AUHG7b1RBl/IAUPHkKZHpGQjz4Tsf+7y7ryPtVeYytvhvSqN7Mvy8aEPkKQOKrWm09KXdlb4/r1D6VBt7A0jguO/UFQt0dWHNjFXMXjWzvGK+2VwXuubnYSDXshlBRmRm9np1VM8irDnIdStEj+GQ7nkoujHRHXb/JeiP910dnMD+THxPjE7CeVczfOy1sg3DKTtGQPDXzJZNsEi0Mck4Nkwq93g0EaZMPHOrkcEsq4LuR4YaN7gnTcY+7y5wmHfiWhF6EIhH6VgipcbMQYSFM9WOgYp41QDyVUrPrepIMBztjF6xpERLa2a0YjbVzNsqZn9zfZ+DfAiAJzeBPBe0cpYTrI7qWURovoJ1DlK4VgOexFxMKPNeE3bvV9d12MZdYc5AHoPQ3RSXJYazRbOwd3bhZhkTbUwy/mzpH01MHoue7Bs6lKcsSwHcolEH+aBGZPWCzzsoBr3JxG1t10rF++3wzSzuRAiuzbAdfpD9l0Vc7Kf01KqO3CH6/BUTJVpcMyMVs61mvqdidjHXd02xAiS6h/L8L8bpFBfhfSavKmODsfv0bNAiJMzksViRTVqnL8irG6N3U3OATxlgvQLHhMQF5gzkMRjbq7lp07w6UMLvUdFelQ4g+/rvnAFg0f327GlvztmsIq7PFXATF0Dk+OHY5x1Xgt7hAukZYI4dkyNb6TIYRaYj88MLiPV79qLvqvQGbPb3Y1eMlGhxzYztcdypZt5RMbuY63PnQa6DJlFWKBBKg/nZ5+RfbF8lU/LsK9VWBgWFFa2vNfG/E6oAuq3vAz0LFFKzHRqWNS0AfrQ0HQUGU/w6U0VRADgxxle19ESjOMR5UQBcom2XbI5MZhoAAr7LfZ33OIOKcRMoYsCV0mnscwOWnzTOhsGkZ4BNLVr2nwHzTdNi46lhOu2WpF7KfkpPC7Nld7VR81eMlAg4TM28pWJ2Mdd3OkiALPcxTMQns97mo3rmsQaQyLCiJ5EBg6wWRaqKglMe9D7TjJluq0iVVpTxMM3sUK8MMAbFg/4OB5AZL4ygbwqpdYMneFYS82eqChYyPolTACAaIU1TOPPojcEkcO5nMVyJXWqtUBSoUngUBZQGEYBOdTHbbxuINicZ2Tz+jePaOy7oSi5iqDxALBGR8Ti1wfzGzOcmvXZ4bSu8cbw4EGVynHJMpacAVFskhWEbNX+Fs0Q131Izaypm3FxX2utO5rr3xO9+rIvqWYKVNCTBilXFfgRNWZaPEETk+VVQ2i4V3gPw6+NxDY0kDgLiVpblLaSO5W5jlXE4A07sFXB7H0hZLQfskajleUkMBnsxBQAa3UsCXKtl/RVbNXOg2we5jV6pq0aOt0UDeFkKIpIkcKQv6t3JLvusZGKzfXGAhMmOUQwD5SnLOwEvxzPpWLsJFnze40bQrnYlmFu07LVED8Dc0SOwKFrg0U/kMbXQdVSlz61miTtiDOavcJWoY1XN9F3EpppZUzET5rrSXvcx1wM7yHVRPUvgRuU6txiNkgxakRttNUs0QWBdiFhOusQIja1FjuVuo6UhA2/H7U8GYUICu+zMfF4Sgztsg300u03vqFI0jMeEOAkAgD6xoatf6kd+ZY3F3eu/w8oFh9MK0RNtgWSbUiOUZVk7yB00vsURY8arLWNjDjKpxLtHIScs6EJoxz7v82gTrcz7x3473Is8WdAMPxJRLdMGIro2AU1i/PUfV+nN7dmR88XNXzEokcWamuk7yNU1s7Jipsx1nb3uZK4HdpBlee9mcp4bRdQYr+zOhmPCCULA3mPyIE3mg1I0Az0zhDqvVfBu6A+1X3bPv2EQMS3sCqP9Ls8qFz/KDpIY9Hf1mrZImk9WhAM/qinxzds7XKW+G0adAzwK28+nsx9aoi2RbHNuCUGAXX3kQHnKqH6rYw4yBJA4LHDs8wFNO7zAPz7vIK3Zz0YcMvqrAyv9gwHgeVk1f8IVRTx7xczm+hU187SDXFcxc+a6wl53MtdDO8iyfCSC80DsM9nUbd+6CbKu1R3Mf/J2luLRqMyDmtUeVtUTGU8Rg1v0cAz5uxYy6vcJF0e/T7ODJGNFrv6dNH9V7VCyzq3XCT34xm0OzlKbFgewto2gmNhp2xNtkWQPujWdSbPBg4TXPXR/oDzlndSfjDlICoADTER5lQa3fk1jnztkYACSJf5xgYPcd4/VkZX+UfeOxrvws1f0SzS4weKaWeAg96yZWXNdbK97mevBHeSuRKjz8xBg5bEcfT24drOfj+Y7YXm4a+WMhfG73H7ZA//Yrxxz79pDDPqE0Xy/egF7SNKSwN5llaMdFre7c2d3mfepInk3pl52ltp2kJ2sfCbpmiHaQslurnNZFlKlogYQPNs/dChPJ+uIg6wOZuXd7GMt5djnzuc2OQ5myz/tIEf2UG7n2Er/MOJX3AdSzFzRL5HjBktrZsZB7l0zs+a61F53M9f/wT4m8acRGPF2BaqzMgHClp0yZ2IFOKVd+ChJYiT1Z8agMABSQUFQfDXRt8PTz8ij/fMkB9FoRozWSQL9MyIV9jgpfidJAADyDCTmVzFAkra01T0ZVp7dK4IvBejTmnxTLQtKvSiUuS/aQslYflbn87YjE0kYFlmmgCw7PxXO6lKeTELYcitt/VsBQNikGmPXExALMv65U4L8pLAyStJ5n+d+PuTQSp+dNcKQAVkqIU/JME595opBiYYctWaWmOsSe93RXEvXUObnYPZuKYAyz7cMRWB3lB4YxohdYfe1qlWfOwASJo5n2ol8Hhh2xYwr+qLUD3h+CXIPSRpupFfIO9o+Wo42Psoh6VwhBbAxZZCz1L0RZPv3eI+0L9piyR7BenEt7k2KAL45mY5DeR6kzfRVjyAfven6HLBSw7Na28Y+dxPBoV8jRTT+ebcfsjCKdTGHVnpz7BMCjoxsM1cMSuRkYc30KubVNTNrrsvsdUdz/UUO0uWDltL7qSt/ZT9ImFc/aRLd8P7ZQHbyrysc6mo89To8/wqOQqxmD0lqHqRfxAjmSQO1g9tUDQLY2BtwlXq1gxyItlSyGwGCZ1cR2zQ6WxPODZUn6JrYykHeg14MdT+FWZPMdexzJ3WnfX6SuXfTnm7vdypKxZGVPod5Q+ZoFmauGJbIxdKa6VfMi2tm1lwX2eue5vo/AKP7X38AxsSSnSbARGVWXgetioJPDuRHcsT3KQAIctEAIGUsRP96O2vB1J7/IDinKczk+gUwuQ99mVB7SFI/4KS7qbfuRry9Aes+XD0zHEll7o7G8jqbKfUihqItleysET2dUouxSGaZBpS6sGDD7QbKozLgfO7+fWKzp04QuM++GfscqHehQ1mZW47AkZU+htkQhGcgE2uucJTIwVFr5oDmut7JfyqjoV0PYvRE7s3pCcSMn4bd2XAFNvQDXdt/39t8l1Zfy7qHu4cJsyP0IHbxH9O1t0CovSSpCIYdV+NG3VkoE1uYJ+hHAywUz13qtSPIoWgLJRM7TkBd69OBNv24pzzOLnGvpL1ntfP9Y58PqaIku113E/QFs5cPdjopu+XASt8LTe/NaC64wlGiIctrZqBxr62Zcs5cl9jrrub6ixwkx0hUsHmYbA6AJ7dcwNqW2GsFXBt/HRZmRGRFAXq/EaZiRy5V7Z3vEfaW4aZbywVC7SVJI84gJK67kXE0CcOW3fP9dniheO5Sr3SQDtGWSbbzEWnV1o9tv+0rT8fYNo+nHWSzi2BLO2zuhZ+w3I0cWOn7M9jDx05f4SrRgBU1M2hkXlszNePmusBe9zXXX+QgMbJlJzJVLDd3yXRvn2GwBtkfjPYXMaqf5N0wp3fAo3U9dZWt5yCTXoX2dTfPDbVYItRekpRlWV7R7rzu6PQysTR0y84p+10sFc9d6nUO0iXaMsmS3ZuPR7JxRNpXno4xB9k7aaxdMh/73PXEqqHa0A7bfZ1lye2Wc2Clz2H3ZDBQockrnCXqs6ZmBg7yxTUzZ67z9rqzub7vuKvvZmwZQF2IvfhXzV6H1FyrIHZEMMdw0aIfNVyFE8u4+Te98tFMv2nhOrZK2yWmvYdS+4HZ6dQFXS8SakdJijPItX28Mr6tcrB3x6gsP6Hr7x/jNhLmguti8Ra+/ylGRZuXrMDkKvEGSLgxYKCvPPMwWC9ToQ7qH/u8h5EFm+SDM5bmCMyHFHqnnPwNB1Z6AFC9cwuGKjR2xXiJDI5cM8cz19/jIO0mtkWfYW7jYvmt2YZjXkV7W2ZCuyW+ZEBALatTqJVJGz8y9dp4qL4AwVDReifZ9E3YNnN9NkJUlgm1lyQAvrRxsmDx79SVMAMAyMbVp5lTVAe66BeilW+FeJOlXoRTtGWSqac2isnzf3/+nGJL7/ot42JW7z41RATqHwdTn9tYp0QsaoetN8UooJvql+5HPMFhlb7S8a5sjti9qSvcJbJZXTO2Cr+4Zo5nrmsGwB/NyHpyCO4eqnNz6iiCPUPVZLyteJBbdY2xNiyaVBzdDEZuRdLn3csP3RMjvRUnYzNPWZbV5Fb3b6u4y4TaS5L+6nZozWI8yrI7xPtGDFGnY9+v1jZR6zyAFeI5S71mitUt2oxk3f02bd4syzbFHoDQqB5GNoZE9JWnw55iFV2bQE3NuHd1Nfa5ST+LmXmChIM2nY11g6a8dOc8OgdW+srouynMrtHqKmbsitESWayrmWHFvLZmZs11zl53M9emnn6sg4z6khGng7yCPJwN44OYLvHW1yJhKqmo6oQbVtdkQxbGO7/aTVS7JByNJFLrqV9vSdJeZQ5hLKssFGo3Se4ECEWDEe7QLFjk6DLod6cLTe+eNoOOH8y06jXiOUu9wkGOiTYjWXu/zfZl7lhpYnMfzLFtfBkD5Wmxg/kMB3kzGuIH65LVjX1ukKCfxPxGprIFXoF+zXXKPWYez3BUpa9PGWqaGiN2u6uYsSvGS2SwsmYcFfPSmpk11xl73dFc5xzkLeQEQLi3ar6abhuL/XkCOHZ53Any0ZGDuSY/2H0bdkp6q/XlwbpWPKhVx8zwGNiqFlV9mIcYUbNHr01L+m3cjaA+BezKYPSJFwu1lySDvVTM/Ca414ctXTmAwN48M+5AOABSbRdOqOkfV4nnKvXdOEbsZhaBDTVkVLRpyToRNgbpCCC83h9JPVsUXsvqNWxNnTRQHquQnWobDrJMKhHrJ3c6OvZ5xzCrxWR+lzsF0MtHfyeo8mLOJxbdwkGVvqyHdOG9rBNItYdyGT0X9xUTJepYVzOuinlpzcyZ65y97miu9fseqysOBEmeOEYcB8ftIB9Vxmt27bVXDKJ0Nra3XqxwODitUTQ9+6jNb/sI6qML7xzsVl9FSKV9j7CvTSEA7q6rshwGHg73cd6q5rMebLRTIYuF2kmSLqFsQ9fjuxIAlAKEEwDUEsBtw92XlVgMsA71WSXeoNR51bEMhCjLXAhW/Z2XdyFCAFQIU7YJ0SYlq+DYukssb5ue3Fon2dwejW0Cvgug7YiUtoMs86p95KTXSo593vJgw+ncG3FO8QrB28EyC0TXUt8ZAHCKXY6CHT73kEpflmVZ5RwmnMPc2GtWjPuKqRJ1xV5cM6MV88qamTTXeXvd01zrehp3kGFZVsdvPSv0exEI8wrz04TXJL2L2aN0NbYP0ps5ckSG5xzgnBMznf6VgXLOQNtEXuR25zQUIiDD40PygAAsHGlDg970v2sRNQnqtkpExhnoS4XaSZJhYKWpM0nYrJmz3vGGI+tX7W1FWJkos46zWCfeoNQCAOEUQN3ocAAQlRCMYDitPSrauGRtUbcm4jKP/enOXtx8MMj4ju5WrvrfloNsRCRc9F7s2OcNrh6f+9L++zW+ugYUIGNJ3p7lmEpflmVZ3gQnAFho6L1dMa4rpkvUsLhmJirmdTUzaa7z9rqjuTb1NOYgRd0zJP2BU3kLdzjFfj8erO/zljdJeT1E40BePgxLebDBzBF3zE7er0Ikd8dn3W/zW1mW92R43SwP9AYMC8cja4SyS/0qScq7u+Q5NuTUWSneE6VewohkNU9kqrSnG0MCgIZPiLB9MPtz+Ryl/zUcx1ybepoLIug7yEcAunf9CiFEsPnUvNAeLq9wkA9SqyoH8lIYid8cbW2zvPs2RD9+jKKfdcrFKqHeRP+khJrEdVTBDAcTb0Symok0bO9mmfJ49mNHpffsxApzberpf4NBqUWm7Wy26qRFs7vy0o1jzZC71SilNDYnzSVJeP4Koy37zS4al0aIs+423eiTInk/pwAPMlw2neu3DZ0Cdt7cAku21a0S6k2MZMLOgNX1djDxpnN875sk4CmWKY9nP3ZUes9OrDDXpp5mHGQMarbS6qSvTdBAgbRpn2ISjp2ZugCWZ1+YPDxj7venVJknf2oFsqStJM0zlQahbQMy0tYmUmfZvrtipzhr67DnQdqAMdYJ9R7cehlLhKu7RQcTb97i1u3OfxULlcezHzsqvWcnlptrV0+TQ9LQnrZ6EGtVTADsdrvlER1NEu1ADKeBnw0FerAudlnUDcGatR874IOPzNVdX7Afa5RksI917XzdMqHeAnEtu+TPnSR3DPGcknXMGti7ONBk72/hFUrveY7F5trV02SquXNqd8u/NO/1fhhjjIucINuSN69BTjr2eUiCtMl+FYogzxOO+N/GrFwX2QidxdYXQQJ9WpfPcjOplVEQwJNDkVGh3kGhXfXL+HV5esoZvks8t2QdHNiUL2t3jjGO/U28Xuk9a1lurl09TTnIc0ot/yilvSrWDlgpcx9CupTimRlWAGBhuyJKo4jzMA+gssmfjCFj1KcL6q+eTGECfVqV2XcrlzNYf8awwPZuxIRQb8DKo9pC8t3mq79NPLdkw2u+nWeUx7OFlyu9ZzXLzbWrJ2MNUqdSaYCz2neeU5Zbg5gYzLp9N6PLnmuWFMBQxEqzhSl9B4RpIa2y8QxyzVx/08/XZ9CicrZDBxuyr+Kcha/W8TQuECQ7rOQvEur1zJ5Wv5HvF+9Vknk+Hq8ax2NLnXQOMr1oGiIrGl838I+FtDO3K93Gwjx3bEFRgJH0DKDI7ttCCRjRmeUgV9ymSCUQgxMAiAsU3ZErg8fcL6mU4rWzJP8UuHhuRL1KqJfzgrbiIOLNSfZkx9HzuXgHeTy2mGvrIM8pRASI/5rjQFKaEwDFuZ69QtYbn3Yrh1o9NUeqAB5fwkCfNTIxf70LnmUJAEjZ7jlZ2lRKxQGkVUoza0LMsXITRal88Qgy4IGrGte1/KuEejGMPTmDPuQg4r1AstfgI1jfzceoxi9iS500DvJS+UcQpjgAqDNCBQBxe0JXP5SmaP8da/AnuksKUDIJAZluDmmg0JIDkHF2I1Vhl86wWmHX8+fRvjxKe6SLsK6NWynUS3nBgPsg4s1JNnZI99vxDvLd+Fic47HFXGsHKWPUS4+J5gBw7hIBND9RvR/LZtgYxyDmFvoiKwoQujh9gAJkEuKpaVoKVJ4dxSkCspREvlHwHAC/K9zj+Rj65lo7yLh1r5UTlGr4E23/WBeAliiKrAA3tiTIWDb3DIXhpIo6/lOh3RNSP1I2I4InZmppHbMRaKlOALEe/SP4afL8BtRRqu0YpfB4jozLXCsHKSWoHQQ6SOY+WNyRAL4AgAhzzewSI+Q8jnOapWkWdVNhXRwFmq0SUXujqHkEBQClgc5XGiunlAIoMg2ABJYspF6KYgm0Yj+x105xkC0DnsXoo7gmrzwezxwuc60dJDAbedJfHVRAEEJKpanhH0+SJpVno0LIr/OClUAFhAQAVFF5QPUPABBVi3Hy1F1KHkB6rv6+ROZinVEE8kMXx7n0bdxnoXGQJUivPB7PHE5zrRzkkpjk/gUK4By8+Itz5wTP0twbwvPTmTSetxmUXmLk/e2U1b+bMFkWFSlE41pZJGUdAhRrABfwkABpdgl/4kBxHCaPkZXFsxSJZzNg7IZXHo9nGqe5/l/z1ZKerjX+rH9DQ+NcD1nvDWlgV5xn7bJ1kG1YrAiAqMl5TwQDi6IoiiIAUJpcA875lfaT9xxjMut1BPieff6erUj0Vi6+D688Hs80TnNtU80tcS/mMqREnSaAGasbMXoJYLjQc8kxiwL1mqGc628TBujm6sCaMyp+frgg493qrecD0OmClYs34ZXH45nEba6tg6y9jRpfqbBdqGo2GvImqAYoJOt7ODHbb21Dh5SuliDHedwA6Xblv8BBQgDy/anGPVuJAbIx78X+eOXxeKZwm2vlIHnjINPTaXRKlFpDtvZvSqFrJ5gNPTBhxUxwQLv+WaUsHx1xfjUTuU5HWBwmHOJ1cAHEPtTiU0hj4IljUnfGK4/HM8GIubYOMlbQ2de5P0dqwKCNOdZuPpS3OzH6qQSqb2fyUZpLkIA+XRxWrKWU0wcZPX0gyCcQMeiTX0n6DNIzEB5mAOmVx+OZYMxcqyhWkaniHwDwaHwcFsTGARkXDdTnZzAgiwUAaDSpzrUx2pyJ0mkDhAiQFoVOHCVIZ5dP5C/wj0B+zvRXEM7MRHu+HanSAnhxVvuVeOXxeJxMmWt9mLJgAILr5HnMtDuUnJs/JgDw6D7t0TtCW1hHwZc3gNV/MgD0Vh/obP2CCyHqj0RzP2He+A4kk2X/KSTU8Uo9B0MAAM/nL3wvXnk8niFT5tokK1/S1xVnWdTdTys/9KP7M6m/z9JmKDqIDBDcmohlXc6ePNXUnVeARUA2tZyTghwlXvC1hKHKCu0HAceGckqD41WSVx6PZ8iUuf7P/bGTMC7iZO5R1f9le7ay7K9Ljie6mQ75u098p1P8mqwB7McHI30+Lz/xZSteeTyePlPm+n/jXw1JkE4et8ccATkDB7mK+Gz+S30pEFfKrLNmh1ru8Xg8Hs/Hs8pBcoGvqZCbYLjpsVBPBQXI1HS5WZaBNUE/Rbff45JZx215PB6Px/M0qxwkolCdJvZSMVb0w03jvXOJ0DqXgW6Hpvock9wvrHg8Ho9nV9asQQJISPwvDEcnTZN/cWCtBcp0Qy4RfS6A6gwPBRTnAlnllQsAlMtTQKAzXa93pnFhHkfp8Xg8Hs8erHSQiMI406PzmUzEJzNbufqaSDwwipa6zT1AqJZA0Sx9EiD6qoaptCpFcebJb9gC6fF4PJ738md4MvIsesLn/VMkCYBLnHMgjnXygni+ogC6tK1TpfF4PB6PZyNbHOQUOo7BA5bFOWRWkOR37E70eDwez49jbwcJFHEbqBNGfnTn8Xg8ns9kfwcJ6KxQIJQGO7jHk+T5/FUej8fj8ezM2iCdJZD91h0vM0eBeDwej8fzGtbtg3w3/ohXj8fj8XwTh3aQ+mskebnH4/F4PC/m0A7yrJPJ3K8ej8fj8byKIzvIOBM+BYDH4/F4vocDO0h14f6IDo/H4/F8E9ujWItUSQA0oM0hc7oKqTG82gUA+IJh4KX9q71af5GZwyc9Ho/H43kZmx3kJQYJqM6KGKJxkEg1gIAZ12DRScZF9UsAiEkoCABcimuTTe6L+1gdj8fj8byXjQ5SnRWEIED0r0Az5qORTgG0J0YWKQC+ZBhII8RgCaBVWsTFFUCaMiIBDS1l5g+z8ng8Hs+b2eYg9VeBKg05CWJ0U6gFaAHZ/PusgRXHQTIGgAf/dCY5cIGqT7w6AT5Wx6QonjqE2vNyiuKwGuuVx+OxmTLXbUE6pwKinvXkME6H1KY/TCWjwOjZkTaquZKy6qira57neZ4zsDzPF97kNyDPf/+e+sdSe45FevrzLz7gDiWvPB7PgClz3ZSL9RKD3p13w+M/1MlT9V+dnIGF9/9P48aam4suzsfnYrUozhJgfEnck+f7kFmmUa1BHAivPB6Pgylz3TKC1CngXFmUoISgdsVnLfTiyVGlQephogKsgmrX9b8U9U+C32+Rb+KODU8eV4b4dCjd9crj8biYMtctDjLWoE4rk+BgtYOUGRXF4hlW2V6plelVlYLy+cob1EkjzP0S0icQ5AzqSB7SK4/HM8aouW5xkNlY6E0BgnoJUZ8REbnYQXauNNbg7Y/UhXEe+0WTmrNG4PeGfggkZ1Dn7y5Fh1cej2eUMXPdEMWqCsC9L1FWXk4DiIsgKIr+FGuRFQUIHa6CyObKOAa5th8zv/5ocFHwuRM+ByK+kMmjTGh65fF4Jhgx1w0OMgOIc6ZGaXDwGCqAjEkCBVBzOVHG9WxpjFBYd9AFoCWKIivAr8cKbTgOKbDHGdSeNxHQAulRHKRXHo9nCre5bnCQup0OTavlxibmVIESEEADF0QEyh5AXmKEnMdxTrM0zSJzECoBfAEAEYHf0jFCtjzmyXMIghiZPoZX8srj8UzjNNcNa5DdeqHO4jhuk8RBIQAYUOCieAgUgDFOPMU0TwICgIp7jrO5sqiAIM8Fg6beP44hsSbtguf7CQBk312ICq88Hs80TnPdliig9mIiARC1KxsKFACDKmKSAPYI8izZrfsXz8nZKIsCOOfRFThQVMPRWB7y5DkGDID67kJUeOXxeKZxmus2B2mOQ9t+qVZgAAj0GSGtgnlao5Qpzc1fsWuVia7+trqShua5HgBQxOfT6evid3pU67THmK7zLIUdxUF65fF45nCZ6/bjroBqObK1O1Xt9WcSkkUwIlMBIEZiGygXcdwsXkrUaQJ6JRyP6vmFKPhBwKdBjuIgf4vypMYGbatXTX6D9Acm7e2cl0XBcbSswC5z3eAgKaBqaa1JVFn9TVDn2TEHkIVk/RABEWdddE+9b4QDqlsmnYjq8Xg8Hps0LkTXzJzMr4Lr4GrP27ArBjpONRADPDz8uviGKVaOJpuczqysN1VIDkN9QKQ5gsyGEQKEFar9ZQ2l0O3S5FRUzy/kGEMRzxoIegOZ7+I3KI88nc2E07bIvnf9ffQqBupvDHHN8wDy61CNustcN4wgA1qkAQegz+YgUdcayTgRACBtbR1OcXAl6w87V8pTyFqXz5IZq5Y8P53J4bsbr+RAWcs8CznMFNLPV57i0gtA1N1Z7Wo4f+V5F8OKOWlcOQAeX3BmB5r7dpnrljXI20mdQgKk1hLkRVcDS1If5pGim4qFRiGbv7qunW5/2RwiyYAsrvzrIKrndOY+zsDzSfx8v3QQ9CVFyHpHFoVNfP1fP4D8LhwVk2oEVWsvMoXsQA7SZa5bHCTJ4ywFCA/0ue2Z/S2AzDg86z8AuMg2V1y3f8OOUwVOEkAclwAQXjQulweZierxeD6BAx4J+TMhMogolDlhR3jjFdOCegf5TTgqRnZDNaYONfnvMtdNUawkilSVbq5TvP75kP1zIJP6pWRp1EysxtX/rXyrj6ask1E934p8cfCVcifyO1BPy/Np7KA88tCBoDlFbyNLl8c5hnh7eTw1w4oxIMdv1rZu81gtVxPmK8G6v8Yvd0b1KPXtr1PHWRHtbW9SFqBtjr2zCkLHkgnBp49IhsnrfwpjkkkcROLnlUeeDn1y+USf9XsHkD9X6ZcxrBgmW1VU3/Nu1pjrc/sgF8PkME/6pIOcjurZiBn4zbAl62tsnca1D2k1Qx83WdoDnWU8cVr82JqWygoNAIyzb1umlbLQACVsNJQqjcFuW26dKQUAjO60ol/odfeZFW2zZO9kqDwzcln7JGxrna/slciL6s85ASpTAHs2O/MrB5D7K/1lOOc41jFxvrMKnSmldtna4n7IMzUTplpWIx0p4RoK9Plecy3fwg20/ksgr/64tx+54EjyihBR/ZeAeK4UV7s22HXl7x8cYPlzZXDdk4g85wB71J9FBCTpX3gfra3E1B++b/EWcgs7x0zHXisHwvW3fpjdf/KkBpRlWZYC4I/5y2qWiDYi2R0A2VbGMa4b3mDpVJ55uXothVj+y7U8QoduX+naZwg4WogEZHllr+IlSj/0BSPNpPOdVeS1yTzfVLkfsrpm7IpJAJKU5SMhixr07zXXd40gmUp78xzxTPLk8aiezQT8PwARA5dFJqG+klVzL+qr6CLjdkKfFFhOAH6SqglCEvyszqr3pLFJJP0lARpw6FTiexKKFV8KQMgoVFqgGHutm/KBqpMGCRmlUqb7hIUWMSDThaOKZaKNSFZg3zWWTGYamxRwoDwLq8zB9l+OEseOek3PICHnWayMZxTDfXNzcQkxwpfYxIuUfjiAdGuq850BqAJHAc7I8/Mt7oc8WzMhjeX5DABLFqu+21wXu+bnuIFWvYBmBJlPd+xeMoKsOsX36s8EALmv+O2Dujqoz/Fg7cBRmH3FBxt2chhcfcIbAUhUNrdAtHMJl5ADILeyLJvxnrNmbwBua299I0BY3y50voDV3IDlFblItDHJrgCCrcUcPKROtrjt133lWSIXQLhBsvyXq8iZqyW6tk8JADRDAcdso/Eb1wjyZQPIFyn9QD7nFIT7nVVfEYBEe8g88pANNdOrmJyCchEQgM83wN9sru9ykKWoHUHtIG8Ek8Nz3pqzMP56dj7nDsML8RUvvr5+2/zWBGFXV7lVbXcC9GZZA5d/uJFWI8rysY8HWU1uGMqDYFDyimTLfCMDWPuPHVrjsixLvqJntEi0McnESg0bp/GOoBvv11eeJXK55+uXVfZiuhl0++OuN2oa7WoH+Vg2jbeBFym9vYhzdSrQyDtrHrhmRnKcsYdsqRm7YsK6G/8IFr2c7zXXtznIkoFcy8bfRWTGrrrRYucgGdYM+FzkMJycwKoVuwjNIHg/zPLc7CbsOlALV/09qPUr/rYZAYvc9GLB2GsNNyyQXnvisYlrF/OIxGJFWiTamGRinw7LvdkYRcXqEbhZFKsTv0CuUQc5/0ZuDuu+ugofEdDongzaYYF2qqdkS72ww0GKl61AvkjpbY3hri7h2Dsry8o/Tnbjl9bM6EO21IxVMUlbwsdwFODge831TWuQAPI4/uIBAyBlVpDr9ApkMNz0WKinNyBKGMsxPF7zUx0DYu/FjDO6mXqCNp8QAARBpi+zYWjnAjDSALNhrPA7INxYT6YYWSpUGxbk7MBrts+KHlkR1bhItDHJFJ5fE9ZpVi1LMf5sOKfJsirb+kt10oPkNemZ5AMBdKyFIAgHx8BmAGssNVBoE1CuRKcIXrQq/xqllzCPvZDSsYA6+s4AqDOmwySW1sz4Q56umbQ1aRLGC37+zea61DfvwL17F+Fst441fYt2BBk+P1lizGhWw7flvTsxGk62Hau7l8Pu/97Rmym/YtBBvgL7DKp25Dr2WoH1U+TsvRo6w5hoY5LxZ0v/SGpzZ9GTkycO5bG/XDyCXPJLisHQIHFfWQ9e+i3RzSzuePx2j+EIUuDpWadF7Kb0d2G+N+5cLBt5Z2U1ocQmm9bFNTP2kE01Y1UMYCyavTLqfhdzfd8IEqBJlBUKhNIFvbrkX2xfJdM1XQk3EmZ2dazIJq3TF5wIEKN3U3P8R5lCanYGHe/sgvkovnczdvTgpk3z6kAJv0dFe1U6gCyr0jyzIHj6JUwa3PbTIkd+eT1pnC3VTs8Ac0yIjMwjZTCKTGlhTa4sR6cI36I/uyk9Nc1ZSeem6/G5t7gAosmqXlwzYw/ZpWaMcd0Lq2cXc32ngwTIch/DRHwys5Wrr35y1vVoK4OCworqSfX+DlIVQBeKPTgWKVBITW0fljUtAH60NB0ZBvqnM1UUBYATY3yVRRCN4numjV0MRdsu2eyzZKYBIOC73HfyHo4qW8jIL1nea4fTM8Dy5fZrR9wvbYYHWyRi/aYsc7sqfcvaTnkRY27n/ffUjFUxQQYVtJ+/MDfaPua697h2P9ZF9SzBnmeiWBGBzRyj9bvgFDy89j8jXOT2Rww0SMqkdwd7V8ZgE8MN9mzIA/3ZkcXRC3M8K4lBjn6sdD2zToAwokCwJmyF4/mZbbvUjzxPRD2Pdc/zSIioLMtHJAKRzMz7D0SbkyzYXPi6YxTMFWkxQ+XpGFZZxfz819gvq+jq7oEJZqb++i0RQS/2bMnyyoP2AlQeZCpg5bBK395jWn2Grbe1gjTGupoZPGRLzdgV0wXoR64FonFzXWmv+5jrgR3kQwA8uQnkuaCVs3wSK0wpWdP23oeK8AhBRJ5fBaWtUt4D8OvjcQ3B288ExK0sy1tI+/pse+jhDDixKzjvq/8N+yRqeV4So0ykb3ACAI3uJQGuZRlh1VbNHFiyYD1Fr9RVODpviwbwshREJEngSF9kMhBtVjKxuQPKARLu5h1Lh/J0DKusZtZBjv6ytNvhWf/Yb4cfgBm+uSDe/JGIaidMIKJrs+woJvzFgZW+IZzu/g5814MsatFW1Uz/IatrxlExVwJwIQRzbUiZMNd19rqTuR7YQa6M6lkANyr3QbFi/TzpD+/KG21fv2g2It7aYW5OuhijxtYix3K3oc9k4O24/ckgTEhgl52Zz0vSkRAgMKvq0fQx76jiJaLBm5wkAAD6xF6Jfqkf+bWdDbjXf4eVdoWTCtEXbYFkm1IjlGVZO8hdsrjVjMeYDaqsBeBl+cjzfESG8V+WZZXrolKdef/Yb4dz+98LHKS1Da+pBTL+q0MrfcUd01tUBg4yqZ56j0JOWDC+JWhNzfQfsrpmXBXzEAwAiGNcPWWuq+x1L3M9tIMsy0ciOJ+f/FoIuiH9nS2aHGgI0QuHe5B2V6RoBno3Yxo4r1XwbugPHW71Mvxbf0KgusCoMNrv8qxy8aPsIEnNPaIAHZkFbnfnslXzjo9qjWJz/LKr1HfDqHOAR2H7+VjJHKItkWxzbolqQ9GOPnKgPBWuKmsBWJOfIBimBp76ZVmWXTu8wD8+7yBXcmylbws2qfYDBxkCSJYMKlbUzNMOcqwIufO5c+a60F53NNeDO8hdubUe6SbIulZ3MP/J21mKR6MyD2rqSljt84+Mp4jBLXo4hvxdCzmYsF8c/T7NDpKUZVneOHEM9kSjll07lKxz63VCjwU5qZw4S21aHMDaNoK6NwU4RVsk2YNuzRTQbPAg4XWPzqFztcddZR2WblpDpLlfVlTt8BL/uMBB7rvH6uBKX5bVhOmk0g/MnwLgABNRfg0x9dqX18wCB7lnzcya6wJ73ddc/4cdk4EfEDPIUwKQJwBKA2DRisA94xRsAEAmrYhcCgBxYcZM8VTHCaDRJTzoZSYYhK32I7oY0MZ76TgGsYOxt8ceWnfZQRIA0JU4xYmEXaS6jIGgunv7BhkAufyUJJLQWAPy33CX+RJmSg0Aqg0VpgUKR2ybS7RlkpHrSX9FW6KfSRjqLJPQaYqAP7nZ3aE8wEiVGdxjUAaqlcyArDBCHed+WUHyk8IZ66IkXVDsvB3g6EoPALFeuUVFFwAkr9IuBeFJoz39oM9ha2aBuc7a687mWjry4/4gzFFiJznhK5N2oTeTYA7GE1p1Vog9gw3gXpaR0fe+2+N3WEuMjl2qRuoAjuEgKsATU4/mc5+WpOaRV32OLuqBd8soaDtn/Xc5y71asdg0hnSW2h5BwizuyJhoINpSyW4MTyQsb5PMPRXO6lKemmGVOUmA/uzTol9WE+Sz48e5EeToNvytfIDSP8jc5EPvndUBbfY/p1eIF9SM8yHdP/eumVlzXWavO5rrb3KQFEA5GnIwCex3+cBwSecKW5WqVZ87ABImjmfaiXweGNaWcUVflPoBzy9B7iGJSc7Q6eIdrcXmaK3VIelcIQWwMWWQs9Q9B9n+Pe4gy9IWbbFkj9EsnQu5N8uAfHMyHZfyGFhVNkICOKaz5n8ZwaFfI0U0/nkHVkaxruITlN45KW7Re2cDj8gm24eFNdN/yItrZtZcl9vrTub6P4wdOPYzMGZNqjQBrklJlVmzGVopsMnZS1eOhv4uZVpACtDoAp0C4LyXVVFb93CldzD+XWaxirWdZLHAZIKUZULtIYlV5vxfAf1Vxa4Zk8ASYNWvNhzpSCLEgMrM+ZCFdbas1IswRVsqmTppBMEzE+E0ilSWFYCUl40pdVzKY2BV2QhhXABZv6GY/WV6AYDLivwgFRQAlPXa9txQ/glKvzFzl1FIrroVmuHtj1kzBzTXlS7+gxlNR2nNZjy6oxOMS2D3K1x53/tzpLxevm7z/xC7v2aH4ARw9NCtp4a9Sa47XD9ZI9RektgYBwAEaHtrgdWFWz8z3A86Xiieu9TbRpCmaEslYzsd0Jk3zQXbdru+8ti4D4bo38A1Uzz9ywR1qqjZbBb928BSy/2ODevud3ClT+aDX/rvrDf7WUYYH90trplB/b62ZmbNdY297mKuv8hB2h7JwDwrLwfAkzwXpL8HY4ODrP59F00fy6oO6x6uGdayhFmGB7GL/xjo7lqh9pLE5oH2PRs36g622Xaqcz+j8kLx3KXe6iA70RZKtmcy5mvtIzf9uK88vW+7KhtDwDnlN/nLKkrysaUdtpcPdjopu+UDlH7B4exO32X8c+IwhuU1M3jIa2umnDPXNfa6i7n+IgfJ4R5xRWanKDeDgLup8J6uuTb+jnVBq9tGAXq/ETAm8yOXqva6OGGviZpsLZcItZckPbrBXncj42gSNijDEnrWvlQ8d6m3OshOtGWSLTvvbjHV1o9tv+0rj838puCxaIyJXza7CLa0w3YKszHL3crxlT6ZXRV+xkGuqJnBQ15bMzXj5rrKXvcw1//Dr0ECrgMl1YXYE/XVYk1IqqnrCscGjP4U9uBENYACsoo55uJ6D4C0d007zZ4CdG45gAFqkI7ZQMquSIuEakq9hyQGxHGL7hiVQgF0/bIFt266WLzlpV6EQ7QpyTK96zEfJLw+ko33m1YeV5XZaLgXvMd/2WbBJjkDzutePUO1xl6h3Ja7meMrfYoN51j2HqCHH9U3P27NHM9cf4+DHDn8RJ+tc5BZfmtWe8zLiakV1WvsNze25gAK4NUGnAp65Y6tjxVp4Tq2qqfhtPdQaj8wO51aOZYJ9QpJ0A8e0s1nteotP6Hr7x/jIdZR18vFW17qRViizUtWmIXeBRJOxtKM01cem5l4L4yLMvpL45QIkpO17XAAY59woaeOeNrAgZW+QqotoZMM1ubqseO6j1wzBzTXDQPgzySCczIoBHcO1R8wB+Bh7031ZqzEtSxLaq3G3ADcy1IYMdHXwRp68yzijIDopZp7YLits3vgg1gBPUuE2ksSOyn0He3+zm7imDVFT7B0W+DDWiGIYMzlrBDPWeoVU6wjoi2TrJdMdyV5SAabO25bt0P2lWesyozHW++fo3k3878sy34WM/sECQeD25iJ/MdnzrdyWKWv4UvWrgfv7AprDd4Z97e2Zob1+9KamTXXGXvd31x/7Agy/tP7oIBrvitLHSlGACCFeVhpvwMuqtMca3RKAYRW/y1DvQ2hm/MjVofOGOpcNKgjCt8+eg0a9sQQh/nAL91du1CovSSp72z8VfcqAwCxBrqD39QFnaj6z58/J2c5UYnWFUKn6HZ1rBFvutSLcIk2I1nH5gGkPp9SDcjL37NRPee/G3vVfeXBSJVd/vz501pO96xCApRP/tK+t33KIJsZqQwncIXxmNhVrU9xWKWvkHI4gLQqBnC9s4BWc1EVRQY4zjxcVzOOmfXX1sxhzLWtpzFffgs5ARDu23V7PZ1i9b4gcIw57gS5c+SQ2Gkm+mczdhn9yrIsRdXD4UaPrcmGLIyu6tWOsWyXhCOAuF4ztfuRg7Bkc5XZHE4uFWo3SYTxdm4EbR7oUqC6eY4ugz4dDX0alKuV6MGMkq8Sz1nqdSNIp2gzkrX32zxDY/blRP3QB5sP3RihrzxTcqH9RVPLD9ap6GhlGyTop8q+kRElL8uyGvv0hiKdco+ZxzMcVenLpiSDPR5dxbTFGbyzGzqxHsyZfGplzTge8tKamTXX+RHkXuZa19OYAXMgSPKE7D258XLGHGQCOALSGUQ5fNH3iPe3PQ12EBiHtd3qd/RgXQMd1KojjImqwH6XUVV/DzGiZv1ZsaTvIG8E9TGZVwZ05r1YqL0kEUDzZWKbWwgguNeHLV057KTXUx20kgMg0aMsyzKhputbJZ6r1HdjKuVmFoENNWRUtGnJOhE2xvgJILzeH0ndPw+vZfUatqZO6ivPmFy2g6zb0pwCJJ/5pQkb7re5kfFA2TsF+tnw7gTVeX9Jv2+6CwdV+rIsq6nBgcR9B+l6Z9W84b0sK11xVc26mnE+5JU1M2euc/a6o7nW73vcQYZlWZ0usli6QyAQ5hXmp48qwS273nsXs0fZb2xzACCJfWU4mJ8WTc8+as/tfAR1Dvk7B7vVVxFSad8j7GtTiDqZuvtQvf4E/3Af561qPuvBBm2vWyrUXpLk1cwErTLDWx3UK0EV6EY4AUAtATC196Dp51SRZqK96TrxBqXOheAAAiHKMheCVX/n5V2IEABtjy+fE21Ssopu4W4tedv05NYM5ub2qK88Y3J17XCVAReEcwIYJwhPVHbLgw33o96IM1WBEN15AiwQXUtdPZ9T7HJW+vC5h1T6sixdbU1pO8jRd1YXqq4yl7Evr5nxh7ywZibNdYG97miudT2NOUhRv14yqKtbuMMhvfvxYLbeCmdvKOE1dutXeyAO5OWjaQPuQnBqtcnVpf3eSs4Bzjnhhhe7MlDOWXcWmSC3O6ehEAFhg7YyDwjAwpE2NOhNtLg25SZBbREiakqxQqj9JLlFotK7YJAxNAmbVQrWO97wjsnuVy7CSs+Zmap7pXiDUgsAhFMAdaPDAUBULpaRYZHGRRuXrHk4tuYZMY/96U74mzxBfZqh8rjlMtvhx7V6qbSX2n+ishtcWua+Fj2Mr64BBQiP9jkMts8xlb4sy9KpNWbFTLyz+smEi5GqWVwzUw95Wc1Mmusie93LXJt6mlsj6TvIRwC6S/Iss2BCiOGJrAt5hHZvwO0g3T8l9WicA3kprAYkZ70gJ+4IRLtfheiPWu5XIYxku/mtLMt7MrxuvnToDRiWjUdWCWWX+lWSlHd3yXOsz6mzVrwnSr2EEclqnkjEZU83hgQADZ8QYftg9udyVKXPc/dpwr+A45hrU08zDvI6XPZq/y1anrO86oDL7fe4MXMsvcJBmjvzKemvaRFbkZvl3bch+iv1FBPH17SsEupN9E9KqFmSLqTPwcQbkaxmItnXu1mmPJ792FHpPTuxwlybevpffyRtE4Oa8cbqpK/NmkiBtIkbj0lobtxeCcuzr2cyjrD8lCrz4E+tQJYEH5PmmUqD0F48Mw1S6/gCHmS4uHcXvASd9kO953dzAyuFehMKzpQeGRCtVZuDiTciWc2+SQKeYpnyePZjR6X37MQKc23radLjhnYk1INYk34CYLfbLY/omn2wYjhafDYU6MG60CxRy7lmasuZ068/gpvO97w7Qf+d3jCf4N9kkVDvgTuTiEeTJ0wsuOcBxHNL1rKyyl7HWuXxPM0rlN7zHMvNta2nyUQB55Tkpsf90ryXMJQxxrjICbJn0gLJJw8VIwnSZoNpKII8TzjifxsOHgQKaeSbsroUJAHOU7lQdyXN+vtYdb9AyxkX6j0o11PlBWL0jMJVfKN4Tsksiumv38QTyuPZxouV3rOBxeba1dOUgzyn1PKPUtqTfu2AlTI8lTeveGaGFQBYiEv9J40izsM8gMomfzJCejrXf6l+oYIE+vQmD5meQa72TMwTLe2EUO+g0K4OEOPXNekpJ/g+8dySdXBsOiB6f47hpn8Tr1Z6z3qWm2tXT4aD1PHpvz9//pwaV3NO2c26XQxmNT/djO6T6YYUwFCc//392uTUAIQobA/NV7rsrhmTVWubSrDecDlMoE/PZphfxOUMlvdeai/x3BKWCPUGFFx+i+TPpjn+fvHckg2v+XY2KI/nKV6l9J7tLDfXrp66IJ30ommIrHU055Tl1himkHbaRaXbWBj1VARAUYCR9AygyO7bJoIY0Zkl+orbFKkEYvBGglRxQEn0xAcQsq/inIWv1vE0LhAkz63kLxfq9UwvjW/iIOK9QDLPz8CrxvHYUietgzynEBEg/qvvkaY0JwCKc1TfNOu5327lUD83taUAHl/CQJ/15iBEnmUJAEjZ5n9Y6iOl4gDSOmMLVUopAEF/uRUA2P2SSileO0vyT4GLZ2cKVwj1cl7QVhxEvDnJ2LMH9ng+Fe8gj8cWc20c5KXyjyBMcQBQZ4QKAOL2GN5+KE3R/jvWTyV1V4CSSQjIdPOKDYWWHICMsxupCru0sQzNC0kIaMVGxyFRlMoXjyADHrhe5rqh9SqhXgxju68MHkS8F0j2GnyAzrv5GNX4RWypk9pByhisGhclmgPAGW3YS9Naq577lc2wMY5hnT9UZEUBQvnSwihAJiGemqalQOXZUZwiIEtJtLlRIJMFD189ShkZQz/Zxk0L9VLeEZbwPeLNSTZySPf78Q7y3fhYnOOxxVxrBxm3v64ukEZoQeO2tO3AdAFoiaLICnAj4lLGsrlnKAzDLNK2FM2ekPqRsvE6T8zU0jpmI9BSnQBiPdrj+Tb8rnCP52Pom2vlIKU0jkMFAD7IVTuIFJcAvgCACHNK8BIj5DyOc5qlaRZ1w60ibv9sIkGj9kZR8wgKAEoDna80JoYpBVBkGgAJ7F2KdfwRS75zMvGVeIf/eczvu3oTxyiFx3NkXOZaO0j3ueAW/dVBBQQhpFSaGv7xJGlSeTYqhPw6L1gJVEBIAEAVlQdU/wAAUTXXKI3zt8mjOhIbAC6RORdpFOEbJxNfCcVBtgx4FqOP4pq88ng8c7jMtXKQS0Ku+hcogHPw4i/OnRM8SzPQnuenM2k8bzMovcTI+9spq383YbIsKlKIxrWySMo6BCjWAC7gIQHS7BL+xIHiOFz6Nu6z0DjIEqRXHo9nDqe5tiPIJYZsudf6NzRMcWlWP2W9N6SBXU9nPufGWgfZhsUKmXYLqkRoWQcQxQCUrlLM8L9FL5z0GH3118HkMbKyeJYi8R2Ji5x45fF4pnGaa5tJZ4l7MZchJeo0AcyYvInR29/OhY4xTVGgXjOUc80JYYBurg6sLnHx86MhAgBbMw15vgOJ3tL+9+GVx+OZxmmurYOsvY0an4ixXahqNhryJqgGKCTrP0DMmmW7Mqp0tQQ5zuMGSLcr/wUOkvEuvMnzAeh0wdL+m/DK4/FM4jbXykHyxkGmp9PoTAy1hmzt35RC104wGz6AsGJm7aNd/6xSlo+OOL+afZlOR1gcZrXndQhAzo3HPcchBsj7D98cwSuPxzOF21xbBxkr6Ozr3J8jNWDQxhxrNx/a5QXvpxKovp1Jt2UuQQL6dHE4VC2lzCbN++kDQT4ALoDYh1p8CmkMPHGO+M545fF4Jhgx1ypIR2Sq+AcAPBofhwUxZBuvetGArFwSA7JYAIBuz9TQxmhzJjigDRAiQFoUOnGUIJ2dHZI/3z8CkVT6lBxl1s4zSXoGwsMMIL3yeDwTjJlrnUnndpEKCIIp+2G0yBoHeZIA4rgEgPCicbk8CACc26svg9+76XaYhKmCpP1TngAAnFUhrKMU6jCrPa8kP2f6Kwhnlmo9345UaQG8OKv9SrzyeDxOJsy1SVa+xJTFWRa1deXm54/uz6T+Pkuboehg4UNwayKWdTl78lRTd14BFgHZ1GxVCvIbHCS5pnGRZQdreT19LjGww5Es++KVx+NxMWWu/3N9OEIYF3EyfUkTJivbs5Vlf11yPNHNdETDfeI7neKXZA0IQ5UV2g8Cjg3llAbHqySvPB7PkClzXeMgkZzSyRzgTMqB9xs4yFXEhemRVSwYcWUEOWv2a7rF7MdH634+Lz/xZSteeTyePlPm+n/jXw3hAl9TITfBcNNjoZ5a85CpGQObZRlYE/RTdPs9Lpl13JbH4/F4PE+zykEiCtVpIlScsaIfbhrvHTxD61wGuh2a6nNMcj9v5PF4PJ5dWTXFCiQk/heGo/M0yb84sNYCZbphq7Q+F0B1hocCinOBrPLKBQDK5Skg0Jmu1zvTuDCPo/R4PB6PZw9WOkhEYZzp0flMJuKTma1cfU0kHhhFS93mHiBUS6BoMhQQIPqqhqm0KkVx5smxogU9Ho/H8xP4MzwZeRY94fP+KZIEwCXOORDHOnlBuEJRAF3a1qnSeDwej8ezkS0Ocgodx+ABy+IcMiuIz9zh8Xg8ns9kbwcJFHEbqBNGfnTn8Xg8ns9kfwcJ6KxQIJQGO7jHk+T5/FUej8fj8ezM2iCdJZD91h0vM0eBeDwej8fzGtbtg3w3/gQ7j8fj8XwTh3aQ+mskebnH4/F4PC/m0A7yrJNi/iqPx+PxePbnyA4yzg52YJDH4/F4fg8HdpDqwn/NER0ej8fjORrHdZD6i8wcPunxeDwez8vYvs2jSJUEQAPaHDKnq5hTY9h3AQC+YJ700v7VXn0prk02uS/uY3U8Ho/H8142O8hLDBJQnRUxROMgkWoAATOuAcIF6QKK6pcAEJNQEABpyogENLSUmT/MyuPxeDxvZmMmHXVWEIIA+l+BvB0inlOg+2fxTwMLE+FcYrAE0CotEFwB/GeezJz7YB2DonjqEGrPyymKwyqsVx6Px2bKXLetQeovhSQiAEgAdHcvQNuDqoCzBlacl8wYY1zkBJkEcM3zPM9zBpbn+egBlL8Pef7799Q/ltpzLNLTn3/xAXcoeeXxeAZMmeu2KdZTAVEvC/LY8F4aQZf7JpVMF1jo2xTqKymTkLz1ugTksJ3xb6A4S4AtWdX1fCNcZ0pdhDhWrn6vPB6Pgylz3TTFeolB764v/uDxXzOpqv/q5AwsvP9/GjfW3Fx0cT4nyW4bSvhDUScNnvgpsg8gixVYfiQP6ZXH4xlh1Fy3TLHqFHDuwJCghKAeq5610Ob06yRKg9RjTQV05VQKyucrb1AnjTD3TdwnEOQM6qTnL3wXXnk8njFGzXWLg4w1qNPxSXCw2kHKjIoCS2dYZXulVoZXVRfGeewXTWrOGoHfG/ohkJxBnb+7FB1eeTyeUcbMdcsaZDYWelOAoF5C1GdERPYdZJEVBQgdLoN0rjTW4O2PmD8L0uCi4HMnfA5EfCGTR1nx88rj8UwwYq4bHKQqAPfGfVl5OQ0gLoKgKOwpVhnXs6UxQkF7v6yvjGOQ6/oy/QpSYI8zqD1vIqAF0qM4SK88Hs8UbnPdMMWaAcS5lKE0ODigABmTBAqghk1eTjK8PgTye0TTf9a8qS4ALWV6+XsBv3s7dpItX9L1HIKgqrQj4JXH45nGaa4bRpC6nQ5Nq+XGJuZUgRIQQAMXRATKssmTpEn1TyqE/Dqbo1AJ4AsAiAj8nscRJNbsKvV8P0EMZMfIkuiVx+OZxmmuGxxkt16os6JKFVChEAAMKHBRPAQKoBtpnqUZRcvz07n7IRQQhJBSaer94xiDFV3PwWEA1HcXosIrj8czjdNctyUKqG1NsBMQtT5XgQJgShUxSaqHtSNImVJrlwm7ns6cdL8E5+DFX5xtDz4a1fP70IW5/8XzCTB1EAfplcfjmcNlrttSzZm21o4DtQIDQKDPCGkVzNP2WmMktoFyobukO3X/lobmuR6APP29pFJm8enP+YCJu96Lgh8EfBrkKCNIrzwezxwuc33uPEgNMGMYSBgABkgWwYhMBVBI1h8ECmTNnxJ1mgBmlXAiqsfj8Xj6pL2sIjK9SPnr+9YH4GMrZoODpJ0Xs8JwZPU3QZ1nxxxAZsMIAcIK4zbVzCoHVBtHdIppngQEABX3vDop5BdzjKGIZw0ERu7+7+R3KE/692y+bX3573SOT6e/p2z0J5538CEV4zLXDQ6So8kmpzPTQVZLkGCoD4g0R5DKMcHD28K05kspdPPOzpLdupvznJyP9TbfzUH2C3hWcJjEbr9BeeTJXodRf2OIa54HkF+/vHP9vXxMxbjMdUOQTkCLNOAA9NkcJOrazTFOBABYA2iNQjZ/KePTis6V8hSyGkxOR/V4PB/Ab/BLB6G49PrP+qRx5QB4fMGZ+RXYb+KDKsZlrluiWG8ndQoJkFpLkBddDSxJfZhHCkB1Q8AuzZ0ZhtP8EnWOHwZksQCcUT1xHPV/6vEcmE9YZPkR6EuKkFln+qUaQdWoiEwhO1A7/Jv4qIpxmesWB0nyOEsBwgN9bj3g3wLIjMOz/gOAi2yTqTbn7GRpVL8SWUexniSAOC4BILxoXC4P4ozqibNDOEj54iPZlTtP0YEUyfNp/HTlITKIKJQ5YSe7KbPD7Lb5fXx8xWzaB0miSFXp5rpdi/3zIfvnQDbnf0iw7i8AgJWQ/FH/3xnVo9S3G7qOsyISO99UygK0TSF0VkHo2PdJ8Okjkn5u3p/DmGQSB5H485VnhpxifKcn+cYews9V+mUcsWLWmOu2RAGr5WJymCddTt3EGdWj5HOv82SWCFuS2sXWYSP7kFYTEDG/VnoU6CwbOdh2bE1LZYUGAMbZ9y7T6rNGNPZ+0hjbTr/OlAIARndasCj0hvtMibZZsncyUB4tVaEBRsY1WspCA5Swrrt6Gfb5dzhzR17U8Gh1lSmALbLTobkw2XYJ1Gt91P5K73jt/WdmhQIoYf24jNEvNuKsmBU1s0PFfK+5lm/hBlr/JZBXf9zbj1xwJHlFiKj+S0A8V4qrXRvsuvL3Dw6w/LkyuO5JRJ5zgD3qzyICkvQvvI/WVmLqAd+3eCsRAEZfEAfC9bd8mLmVyJMaUJZlWQqAP+YvG/5qVLQRye4AyOoHTXLd8AZLp/IkRuPLb64f3cKujaWtrQwbnSk7XsYjdOj2lQ6ePYOA0ULcCUglVr5J75azs9K7X7vF3ag7seiLjTgrZn3NPFUx32uub3KQJUPd4rcOMpysQXfH4tk6fwBAlOdlXuVNH3ihSW50f0t7sMYxckO8G3M8acRBPjgAKvK8cv/BzgVcxQ1TbcXqF16WZXkjABHX2+Ma7mT1dwCIVpdjSrQRyfKdOyzXkGzt0faVp5qtCK95LgjQtFgmdwYAYZLnETVtZWiV6yu1R0Qcup0AROTllS1/gtUOlwlAkrJ8JGQXXzHKvko/9tpNEgA0ystHwgGw+/wXG3FWzIaaeaZivtlc3+Ugb6BVL6BxkDnIVLfgJSPIyrprtUkAkDUq9KD79Mqse7b+sRRmV/zh8JDMWeU3ApBaf8QWVdoTNqWWNwDOkcoUNwKEtaKEUw3RiltucrRToo1Jdt2zw3Krj1Dd9uu+8oiuAb0Rpx/PO79ZDeLrWhj4x2fHyHk9JrU/vbZPDwA0I5W7GGALZf4zb3rZr7WJfZV+7LUbJOgahxBGszH6xTbcFbOlZp6pmG8213c5yFLUjqB2kDeCyeE5b6UTxl9r50T73E2t4Stf/LYZwmnCrq5yq9ruZNDLCVxVfiNG9/+xjwfZTBW8NFaCZEtbygDW/sPZXKyHr+wZleWMaGOSiS2m7aTxjqAb79dXHmG8g6tTtNxo/R6k63TbqwzXZyXsZtDtj7veqGm0jtVOWyirHaagXAQE4E+PpcbZWenHXnvHgxiN2IN2149+sYmRitlUM09VzPea69scZMlArmXj7yIyMzjvRoudg2R4Vs9zo4tVCqyaAIvQDIL3wyzPza7R60AtXPX3oNav+LvWlJ3cqsz1Y21FuGG+8doTj01cu5hHJNYq0rRoY5JNLk4t594EG1CxegRuFmV0sEVcLUNudk2CzlZskbi7z3JzWPfVVfiIgEb3ZNAOC7RTPaUxlbfGQYb1COUR7L4SbLC30o+99o7IGnqJrgkZ/cIq78KaGauYTTXzVMV8r7m+r0F9CIAnN4E8F7RylhOsjupZhDUHuW6F6DEc0j0PRde+3HutVNAf77scZGB/Jr41RoeB5RNtBdsw2LBjBAR/6WLSBNOijUnGsWFSucej8Y5su3csh8qTcKPzzl2WcOO803eBpt3OLSscCbO4Ofq/iWuh80EgHqVjfZ0afiLCwplqqx1O2qK9xHQb9lb6kdduwK3HJWi9zOgX5u0X1sxoxWyqmXdXzI7m+s4Rx72LRwxnx2Jro3oWEZqvYJ2DFHtE6/Uw1wzKvNeE3fvVdR06yKvLgL4LAdyiibYCG6Z82MA+v4UZ0cYk48+W/tGEmrLoyckTh/J0hFNftj+vbOUuzCaNu3sAFIOWL3FbWz146bfDN7NE4/HbPax2mHWVIl4Xu/YKpe+4ul6aPWmUdy9n9IvejxfVzEjFbKuZN1fMnub63HFX66DJIxGcByJ5JLObdBLE9sYtmZKnN+hLmMljsSKbtE7NrAg7EaN3UzN2lzLASuXreGUXAIfILgSgiOsk9SNs2jSvDpHwe0a0V6UDyL7+O2cAWHRv1yC3Mmlv8ylju/MkaWRorJLuXcFXgt7pO+kZYNfhlSNb6TIYRaYUGw5FUZbQL8qK+xKl71hwjCcbe4L7i8U1M7bH8fmaeXnF7GquWxMFbIMs9zFMxCczW7n66idnXY+2MigorGh9U72/g1QF0G19H+hZoJBGhsjDsqYFwI+SpuMMKkbep85UURQATozxVS090SiGKSbezbho2yWbI5OZBoCA73LfyXsUmGuHMzgblbFeI8tPGmfju/QMsHy5/dolokWbrHkVRuP7om7WS5S+w/naaWFKZrRio18YHKNmXlsxu5rrex3kGiKp/nabmeNYJ6NpJZZiDSDHjN5NBgxSUxSpKgpOedD7TDNmuq0iVVpRxsM0s1eyM8BIqDfoSnEAmdH+EPTVKbVu8ATPSgIgloiIM7NiEacAQDRCmqZw5tEbg0ng3M9iuBK71FqhKEBDACgKKA0iAJ3qgtLA3U6MijYnGdls/3Fce8eRIq1mqDwdhQLIZKXIAk2CaeuHKahb/3rt8NpWeOMhmlYVBRlU0H7u8P+HVfoW92unQCtZJTOf+cLkW2pmTcWMm+tCe93ZXHed/N2VdVE9S7DClBKsWFXsR9CUZfkIQUSeXwWl7TLMPQC/Ph7X0MhNIiBuZVneQupY7jZWcIYz4MSeobf3gZTVcsAe4XnPS1KWdwJeOgPBBAAa3UsCXPuRdrPkwJIF6yl6pa4aOd4WDeBlKYhIksCRvqgsJ0SblUxsti8OkDDZMWh6oDwGs9tnb8RI82QQTsRY3IwtCgncv+/otUQPwIyOXRhv/rASeXQbpSLXQv2Blb5h5LXnVsPFO+FGvxjednHN9F3EpppZUzET5rrMXnc21wM7yJVRPQvgRuWu2yeUDF73jbaaJZogsC5ELCddjFFja5Fjudvw0GTg7bj9ySBMaCSQey3PS1KWJa82pQzU8tHsNr2jig6fimhwEAAAfWKvRL/Uj/zK2oCT+u+w0q7QrRAjoi2QbFNqhPqZIOEOXcKWiRizO2YivRICBA77u2Mq2cej3QMw7x/77XAvwGRBM/xIRLVMG4joWgU0XQnAhRDMlars0EpfMfbarQ3ckflqR7+wWVMzfQe5umZWVsyUuS6z153N9dAOsizbqJ5d7ma0BHc2HBNOEAL2JswHaXdFtqFYZgh1Xqvg3dAfOtzqZfg3DCK6hF1htN/leXYrcMUOkpRlVL/MQVth2iJpPlkRDvyopmA2xy+7Sn03jDoHeBS2nztKNibaEsk255YQBNjVRw6Up2N6I/Y9ogB1DhTFdL007fAC//i8g7RmP+tqelShGiQY+qZjK305+dqrF8vzshpBiMf8F64bLKuZpx3kuoqZM9d5e93bXA/uIHfl1nqkm3DujR5nMP/J21mKR6MyD2rqSli1OpHxFDG4RQ/HkL9rIQfzEYuj36fZQZLyTuqy9dVSNGrZtUPJOrdeJ/TYmgvFWWrT4gDWthEUw1QUY6ItkuxBt2YKaDZ4kPC6R+fQOctYISbq41atu7tH8A/ieF3WBQxAssQ/LnCQ2/ZYPXL3k4+t9JOvvSzLR91/GnTyR7/o32BxzSxwkJtqZqRiZs11zl53N9f/YeuK+GdgHm4sAcgTAKUBsGjFurnsrd9m0orIpQAQF+aiOE91nAAa3SnPPO7fswcb/rNZztZxDGIHY68KMhplD0lw1u7dJjIGguru7RtkAOTy0CKS0FgD8l8+WM5fwlSpa1QbKkwLFP1l+hHRlklGrif9FW2JfiZhqLNMQqfp86E6DuVpSWNgNPxNVzpanEg4fAmxRjgZg0Tyk8IZK6NAHFBsjXYaiT06uNJPvnYARCAGoBWAWBmHOo1+0b/Bt9fMSMUsMNdpe93fXEtXfv6fg9mP6iQnfGVaEvRmEszBeEKrrh6xZ7AB3MsyMtYR7vb4HdYSo2OXqpE6gGM4iOpl0dnIHpJ0CTmbftstb27erFKh7Zz13+Us1QEHq/MxlmU5Ump7BNnJyocdyDHRlkp2Y3hiM3SbZC54ZpHBpTwNOWaSmTzyqiNJ+wbzIPOj42qCfHb8ODeCdO6Xf4bjK/3oay/LahEvvJX1+X1G+OLoF8P7L6yZXsW8umZmzXXGXvc319/kICmAMs+3hE3AfpcPDJd0rrBVqVr1uQMgYeJ4pp3I54FhbRlX9EWpH/D8EuQekjxIq321Wj6qG9zRNkQ5zOMgVtrUQwAbUwY5S91zkO3fQ4MbE22xZA9nOs01AjQpAvjmZDou5am5kSWdrJxhGI8zMWtrXbQogBO2yt2BDVGsi/kIpR957WU1N9h0akLzktEvHCysmV7FvLpmZs112l5fYK7/w2tP2/5ujBF4lSbAJazKBpNFjo/MbzHcwNPfeEMLSAEaXaBTAJyH9myGtu7hSu9g/LvMYhXrxPq6wGSClGVC7SHJWSOyPikuVcGMSWAJsOqaDakzSIQYUJk5H7KwzsZLvYgx0ZZKpk4agWMH4XJoFKksKwApLywItsxnuZSnQp803LN4Fjz/V0B/2dsAl6SWSi8AcFmRH6SCAoCyXtumCfYRPkLpR147IM9A2LzRRCnoVEx/4eCgNXNAc93s7D+O0XSUjsmi/kew+xWuvO/9OVJeL1+3+X+I3V+zgyMCOCIerKeGvRCrO1w/WSPUTpLc+mrGmnIHaHtrgdWFWz8z3A87WCieu9SLR5Cjoi2VjO10GGHeNBds2+36ylPhOnXUzfBUh2RBdEaCOlXUbEbq/u1hqeV+x4Z19/sEpXe89tKVk5zNfOG+8aKaGRTgtTUza66T9voKc31nLtZvZjSx4XnYl3B8tIECAMJbnRhQXy79C9rejs4AZ+6j7rOIIM36vx0fUOwr1JQkg7sq85taRNm+e4nJge8IIexO/nLxpt7/HKOiLZTsosCfTiAMADx5XEMCQK2WAcBQeSrOCqFrYDkkAKp+eEs8n8SpytKSs372zwVQmC9f41umub5d6R2vHSjsySaOOuhw/IshB66Zw5nr0y7/Y+Bwj7gioN+hHHwEewTp2vg71gUty7Is8yjo31LAmMyP4OjM9bo4Ya9HOFl7S4TaSxIDu2/e3cg4moRhy+753tErS8Vzl3r5GqSBJdoyyXY+zqfa+rHtt33lKcuyFIviZyr6I/hkeoWrvgTsYe5LH6evy/Zh5mOWu5VPUfrhay+Hp3S0BRv9YsCKmhk0Mq+tmZpxc11sr3uZ6y8aQUp700eDupB+V3j4kWMDRr+70h+caoACsorY5uJ6D3qnc8DowKRo8g2OwwDlSvvYIKWRqXiJUE2p95Bkhi4LbqGqg0pWwq1yLRbvuVIvYUqyTO/avybh9ZFsvJ9DebIYdHGUP4GtFykws/ekzfJJNoxUGOoBHIDqTJc9k1p/itIPX3tN/yM6+4XJgWvmeOb6exzkyAyrPkOQ2Y+IqRX19EXvRrbmAArg1QacCnrloztO08J1bJUdxlPlIob9b+OB2enUzdguEuoVkgyoGqLuGJXlJ3T9/WM8RMKw9uXibS31EuYlK7D3aQUkdJzcvoS+8gDFGeTavjI182p6EWFSAdNzx0YWbJIPzliaI4CxT7jQO+Xkbziw0vcYCcTrT53S2S8MjlwzxzPX3+MgrSa246K4KGY/orb1ILT3+V8yIKCW1SnUyqSNH5nqa56JdgGCoaL1Dqzpm7Bt5vps9H6WCbWXJKNwNCso7cx/mjlFdaCLfiFa+VaIt6HUS1gmmdq08NQgz//9+XOKLanGFpVm6SsP8KWNU/OKf6f+Ly5//nTvvyjsvd3xyJJ5i3VKxKJ22HpTjNbb3YFKP3dtho+r9DOvvbm/UfruSKDRL2xW14ytwi+umcOZ6+9xkAVc811ZOkgx4vho0AEX1WmONTql6FtdhnrPQbfGTqz3b4wNLxrUESzRO6ZPw54Y4jAf+KW7axcKtZckowRAfex1c66NuqATVf/582fQLrdIsxA6RbeFY414G0q9hBnJOjYPIPX5lGpAXv6ejeo5/93Yq+4rTy8goe24X/78+fOn+UfXcPYOVpNyZgDZO0WJzbTDRhBFjTAeH8N9LPN2Dqv0AEZee1cxgVUqiXa7zegX1s1X1cywYl5cM4cx1/Z9b1hC/QiivmQEjiXdO0HeW+x1fFQFEFvrt8JMuCCqRWRuLFg32ZCFERtxtWPqzVNfiGsFn9qRQYOwZHOVOUS3aWSpULtJYt3MDJQWqG6eo8ugb+QGwdQuY3MbzIMZ8SSrxHOWenOQTmT9a0Ky9n6b7cvsyzVppx9sNjJmjL7y3AkQioauoKJtE4Sh8jeCNrl3XbjJPR4J+ufv3MiIkpdlWe3A6gWxdMo9Zh7PcFSlH3/tXcU8qHFJYtxu9AuDlTXjqJiX1sysua4K0nnGXJv3PWrAt5AT1ImLPomuY2t/ngCOxDMMouy9aMdHZVmS/o4x4yy8W60vD9a14kGtOsKopsBWtajS/ocYUbMHBoGDtoO8kSad1JUBnXkvFmovSTo47PcUAgju9WFLVw77AJ/JDhoHQKJHWZZlQs14y1XiuUp9N3L83cwisKnURD3RpiXrfrIxxk8A4fX+SOr+eXgtq9ewNXVSX3kGYwvWPtdwkPW7S3pt6L3fXezj2F85lbPnToF+Nrw7QXXeXzL3sE0cVOnHX3tXMdWBjuG9rFNMdZYx+kXHuppxVcxLa2bOXJfb67PmOucgORAkeUK2Hmj3bbgd5KNKsMCu997F7FHaLavjo7Isy3BwWqNoevZRe27nI6gz8N852K2+ipBK+x5hX5tCANxdV2VZ6Z/58ofHLtyq5rMebND2uqVC7SZJzV2g82oVV4Iq0I1wAoBaAnTtsoOmGqtIs+7snnXiDUqdV+OlQIiyzIVg1d95eRciBECFcJ+aPBBtUrIKe+f2GvK26cmtdZLN7VFPeR59/2idSVs9uJpuopwDvVHH0Bh6PNhwsHUjzgGYELwdLLNAdC11lYGX0+mcops5ptKPv3bDQZY3CgCEcwDEPNVq9IuW5TUzWjGvrJlJc11hr8+b67yDDMuyOn6r980t3OGQ3v14MPsFCYR5hflpwmusi/PaA3EgLx/85v6oubTfW8k5wDkn3PBiVwbKOetOchPkduc0FCIgbNBW5gEBWDjShga9eazQ0dwmVe4xzkXUlGKFUPtJUuHsmyRhs0rBescb3jE525SLsDJRZqbqXineoNQCAOEUQG0EHABEtYuMkbEiuUQbl6x5OLbmGTGP/emODXeeoL6MnvIMY2EHDrIsb5GoGpOglwZ2XixX2+weS/fLYXx1DShAeOTsPj7NMZW+HHvtwnrErbqEhf0k9qNfNCyumYmKeV3NTJrrCnt93lznHKSox9Wk11d8BKC7JM8ynyWECLba/iO0ewNieZP0IPV4ngN5KZA7P6rhjkMZ7lchkrvjs87m8ltZlvdkeN186dAbMCwbj6wS6j2SlHd3yXOsT8S2VrwnSr2EEclqnkjEZU83hgQADZ8QYftg1kGejxyz+Fl8jNL/Ho5nrnNBBD0HeSOGj215zvKq40G33+PGzAmgFQ7SXIehVSJPx0c1zfLu2xD9QAgKM4/+GKuEehP9kxJqFmRjGXAw8UYkq+ml//lOlimPZz92VHrPTmww1//1R9I2mbZChdVJX5s1kQJpEzcek9C5S3sZLM++nsk4wvJTqrYc/NnuMFIahALE+VENDzJcxrYSvACd9iPpZ07vqFkl1JtQcKVoQIZe7v0FHEy8Eclq9k0S8BTLlMezHzsqvWcntpjrtMtlVnT3g1iTfgJgt9stj+iaM2HFsI/vWOlcxYN1AUsC4rH2zEdHdMfwowfZ4fjF5QT9d3rDgvMTDBYJ9R6489CIaOlREmP3PIB4bslaVlbZ61irPJ6neYXSe55jg7lOJwo4KyMbFfCleS88nDHGuMgJsmfSAslJxz4PScyzCrL/Tqd/f7adejD9EJyncqHuSpr197FqHGpIsgblKrm8QCw7SuLAOCWzcKb3eTsfrDyfys9V+s9lg7lOOshzSnLDc0lpT/q1A1bK8FTevOKZGVYAYCEahxiKIM8TjvjfbomKaoIE+vQmD5laiTIBHKWl3UKhXR0gxq+b0lMeCbdkHRwbz8rdm89Vnk/l5yr957LFXA0HqePTf3/+/Dm1Y69zSk3/iBjM8mPdjO6T6YYUwFCc//39Gp5Zt4ywOg0NAI0izsM8gFp1L0czNvgoTKBPL8gwP+RyBst7L7WXeG4JS4R6A1Ye1RaSP5vF8fvFc0s2vObb2aA8nqd4ldJ7trPFXLsgnfSiaYisaIeC55RZoS+FtBPTKg3C2rs+sfBcFGAkPQMosvu2iSBGdGaJzjPIufOjmsenEojByeRHABCyr+Kcha/W8TQuECTPreQvF+r1TC+Nb+Ig4r1AMs/PwKvG8dhSJ62DPKcQESD+a+7R94/Ieu63WznU6qk5UgXw+BIG+qyRbTyAnWeZNbe/ws9KxQGk5tlgjo8AAOx+SaUUr50l+afAxXNTzquEejkvaCsOIt6cZGzXA3s8H4R3kMdji7k2DvJS+UcQpqq2OU2r01SLc1TftB9KU7T/jvVTSd0VoGQSAjLdPEdGoSUHIGWbIGmpjwyHI03HRzVRlMoXjyADHrhe5rqh9SqhXgxjex4bDOAw4r1AstfgA3Tezceoxi9iS53UDlLGYNW4KNEcANQZoQKAuD2hS/Xcr2yGjXEM67ChIisKEMqXFkYBMgnx1DQtBRQHIOPsRqrCvajBfHlDPDKG/tw27ueGJcxJNnJI9/v5XOX5VH6u0n8uW8y1dpBx++tmghVtXGjzE207MF0AWqIosgLciLiUsWzuGQrDMIu0LUWzJ6R+pGy8zhMztbQN0ChOEZClJPKNgucA+F3hHs/H0DfXykFKCWqvLxrBPPVP+pHiEsAXABBhTgleYoScx3FOszTNom64VbSHsrbnbUbtjaLmERRozk1vCmRMDFMKoMg0ABJYDpDU8UeBluoEEMs3/wh+mjy/gfl9V2/iGKXweI6My1xrBwk7QBV8kMx9sDqogCCElEqbcREnSZPKs1Eh5Nd5wUSnAkICAKqoPKD6BwCIqrlGaZy/TR7VkdgAcInMucg2UXsCrdhP7LVTHGTLgGcx+iiuySuPxzOHy1wrB7kk5Kp/gQI4By/+4tw5wbM0Q195fjqTxvM2PvcSI+9vp6z+3YTJsqhIIRrXyiIp6xCgWAO4gIcESLNL6PaD5IcujnPp27jPQuMgS5BeeTyeOZzm2o4glxiy5V7r39AwxaVZ/ZR16GsDu57OsxvTWgfZhsUKmXYLqkRoWQcQxQCUrlLM8L9FL5z0GH3118HkMbKyeJYi8WyKqN3wyuPxTOM01zaTzhL3Yi5DStRpApgxeROjt7+dCx1jmqJAPSUq55oTwgDdXB1YXeLi50dDBAC2ZhryfAcSvaX978Mrj8czjdNcWwdZexs1PhFju1DV7KPgTVANUEjWf4CYNct2ZVTpaglynMcNkG5X/gscJONdeJPnA9Bpf2n/+/DK4/FM4jbXykHyxkGmp9PoTAy1hmzt35RC104wGz6AsGJm7aNd/6xSlo+OOL+abSdOR1gcZrXndQhAzo3HPcchBsjGxFD745XH45nCba6tg4wVdPZ17s+RGjBoY461mw/l7U6MfiqB6tuZdFvmEiSgTxeHQ9VSymzSvJ8+EOQD4AKIfajFp5DGwBPniO+MVx6PZ4IRc62CdESmin8AwKPxcVgQG/m/LxqQlUtiQBYLANDtmRraGG3OBAe0AUIESItCJ44SpLOzQ/Ln+0cgkkqfkqPM2nkmSc9AeJgBpFcej2eCMXOtM+ncLlIBQTBlP4wWWeMgTxJAHJcAEF40LpcHAYBze/XSA4u7HSZhqiBp/5QnAABnVQjrKIU6zGrPK8nPmf4KwpmlWs+3I1VaAC/Oar8Srzwej5MJc22SlS8xZXGWRW1dufn5o/szqb/P0jbFed+xCW5NxLIuJUGeaurOK8AiIJuarUpBfoODJNc0LrLsYC2vp88lBnY4kmVfvPJ4PC6mzPV/rg9HCOMiTqYvacJkZXu2suyvS47v45+OaLhPfKdTjGQN+GmEocoK7QcBx4ZySoPjVZJXHo9nyJS5rnGQSE7pZIpTJuXA+w0c5CriwvTIKhaMuDKCnDX7Nd1i9uOjdT+fbztZbA6vPB5Pnylz/b/xr4Zwga+pkJtguOmxUE+tecjUjIHNsgysPbWj2+9xyazjtjwej8fjeZpVDhJRqE4ToeKMFf1w03jv4Bla5zLQ7dBUn2OS+3kjj8fj8ezKqilWICHxvzAcnadJ/sWBtRYo0w1bpfW5AKozPBRQnAtklVcuAFAuTwGBznS93pnGhXkcpcfj8Xg8e7DSQSIK40yPzmcyEZ/MbOXqayLxwCha6jb3AKFaAkWToYAA0Vc1TKVVKYozT44VLejxeDyen8Cf4cGPs+gJn/dPkSQALnHOgTjWyQvCFYoC6NK2TpXG4/F4PJ6NbHGQU+g4Bg9YFueQWUF85g6Px+PxfCZ7O0igiNtAnTDyozuPx+PxfCb7O0hAZ4UCoTTw7tHj8Xg8n8orHKTH4/F4PB/Pun2QHo/H4/H8EryD9Hg8Ho/HgXeQHo/H4/E48A7S4/F4PB4H3kF6PB6Px+PAO0iPx+PxeBx4B+nxeDwej4P/B187wL84Zb5bAAAAAElFTkSuQmCC"
\begin{array} { r l r } { \frac { G M _ { \oplus } R _ { \oplus } ^ { 4 } } { c ^ { 2 } ( R _ { \oplus } + h _ \mathtt { L E O } ) ^ { 5 } } P _ { 4 1 } ( \cos \theta ) \Big \{ C _ { 4 1 } \cos \phi , ~ S _ { 4 1 } \sin \phi \Big \} } & { \lesssim } & { \Big \{ 3 . 0 3 \times 1 0 ^ { - 1 6 } \cos \phi , ~ 2 . 6 7 \times 1 0 ^ { - 1 6 } \sin \phi \Big \} , } \\ { \frac { G M _ { \oplus } R _ { \oplus } ^ { 4 } } { c ^ { 2 } ( R _ { \oplus } + h _ \mathtt { L E O } ) ^ { 5 } } P _ { 4 2 } ( \cos \theta ) \Big \{ C _ { 4 2 } \cos 2 \phi , ~ S _ { 4 2 } \sin 2 \phi \Big \} } & { \lesssim } & { \Big \{ 4 . 6 6 \times 1 0 ^ { - 1 7 } \cos 2 \phi , ~ 8 . 8 2 \times 1 0 ^ { - 1 7 } \sin 2 \phi \Big \} , } \\ { \frac { G M _ { \oplus } R _ { \oplus } ^ { 4 } } { c ^ { 2 } ( R _ { \oplus } + h _ \mathtt { L E O } ) ^ { 5 } } P _ { 4 3 } ( \cos \theta ) \Big \{ C _ { 4 3 } \cos 3 \phi , ~ S _ { 4 3 } \sin 3 \phi \Big \} } & { \lesssim } & { \Big \{ 3 . 5 3 \times 1 0 ^ { - 1 7 } \cos 3 \phi , ~ 7 . 1 6 \times 1 0 ^ { - 1 8 } \sin 3 \phi \Big \} , } \\ { \frac { G M _ { \oplus } R _ { \oplus } ^ { 4 } } { c ^ { 2 } ( R _ { \oplus } + h _ \mathtt { L E O } ) ^ { 5 } } P _ { 4 4 } ( \cos \theta ) \Big \{ C _ { 4 4 } \cos 4 \phi , ~ S _ { 4 4 } \sin 4 \phi \Big \} } & { \lesssim } & { \Big \{ 2 . 3 7 \times 1 0 ^ { - 1 8 } \cos 4 \phi , ~ 3 . 8 8 \times 1 0 ^ { - 1 8 } \sin 4 \phi \Big \} . } \end{array}
"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"
c \leq a , b .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAc0lEQVR4nGP8z4AfMBGQH1VAngJlRkZl1z14FKQZ/79rnI5HwXsXBgYlJTwKziox3JuVhuqI/8iAwSWUYfd/VCFkzm7B//93K6EqQLHirAsDg9K997jdcNaYgWGWsSCKAhZkzp73Z+8Z70Z1I+Nomhw0CgDk302/TDJoJAAAAABJRU5ErkJggg=="
B
"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"
C _ { \mathrm { l i n e a r } } = { \left \{ \begin{array} { l l } { { \frac { C _ { \mathrm { s r g b } } } { 1 2 . 9 2 } } , } & { { \mathrm { i f ~ } } C _ { \mathrm { s r g b } } \leq 0 . 0 4 0 4 5 } \\ { \left ( { \frac { C _ { \mathrm { s r g b } } + 0 . 0 5 5 } { 1 . 0 5 5 } } \right ) ^ { 2 . 4 } , } & { \mathrm { o t h e r w i s e } } \end{array} \right . }
"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"
\sim 2 \%
"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"
3 2 \times 1 2
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"
\begin{array} { r l } & { \mathbb { P } ( t M o n _ { i } ( \chi ( 0 ) , N ) ) = \prod _ { k = 0 } ^ { \infin } \frac { F _ { i } ( \chi _ { i } ( 0 ) N + k ) } { F _ { i } ( \chi _ { i } ( 0 ) N + k ) + \sum _ { j \ne i } F _ { j } ( \chi _ { j } ( 0 ) N ) } } \\ & { = \exp \left \{ \sum _ { k = 0 } ^ { \infin } \left [ \log ( F _ { i } ( \chi _ { i } ( 0 ) N + k ) - \log \left ( F _ { i } ( \chi _ { i } ( 0 ) N + k ) + \sum _ { j \ne i } F _ { j } ( \chi _ { j } ( 0 ) N ) \right ) \right ] \right \} } \\ & { \overset { \star \star } { \le } \exp \left \{ - \sum _ { k = 0 } ^ { \infin } \frac { \sum _ { j \ne i } F _ { j } ( \chi _ { j } ( 0 ) N ) } { F _ { i } ( \chi _ { i } ( 0 ) N + k ) + \sum _ { j \ne i } F _ { j } ( \chi _ { j } ( 0 ) N ) } \right \} } \\ & { = \prod _ { j \ne i } \exp \left \{ - F _ { j } ( \chi _ { j } ( 0 ) N ) \sum _ { k = 0 } ^ { \infin } \frac { 1 } { F _ { i } ( \chi _ { i } ( 0 ) N + k ) + \sum _ { j \ne i } F _ { j } ( \chi _ { j } ( 0 ) N ) } \right \} } \\ & { \le \prod _ { j \ne i } \exp \left \{ - c _ { N } F _ { j } ( \chi _ { j } ( 0 ) N ) \sum _ { k = 0 } ^ { \infin } \frac { 1 } { F _ { i } ( \chi _ { i } ( 0 ) N + k ) } \right \} } \end{array}
"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"
f _ { \mathrm { b u l k } } ( \phi _ { \mathrm { c } } , N )
"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"
\beta \geq 0
"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"
- \left ( \ln \left ( \frac { 2 p } { \omega - p } \right ) - 1 \right ) \frac { P ^ { \alpha } P ^ { \beta } } { p ^ { 2 } } ~ ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAvElEQVR4nO2SQRGDMBBFPx0MxEIspBKwQCVgIZEAEoKEVkKRABISCUTC7yEE0sK0l97aPf3Mvtndv5uCeB+nD/lfAUrARCVrcUiQ1HDkbGXLg4gASXIWR0QG0MLtgXzIGv32GKa9C4EhyamDP0/bkEs5lQSrhrSSJMvcUViVEoD0yx628FVSrTdPe4h1R9jUQivHO15tNirlRzguQNbCDNfVBESaqCDMzdcSwSu9HiNcRBPQSwsU/1/9JeAB5ZDBDAKE978AAAAASUVORK5CYII="
\textrm { D a }
"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"
\widetilde { \mathbf { y } } = s _ { O } \left ( \mathbf { y } \right ) = \mathbf { y } .
"iVBORw0KGgoAAAANSUhEUgAAAsAAAABgCAAAAAA2x5v0AAAOd0lEQVR4nO2dyZmjTBKGv55nHMi+zJ3fBNoEZAI6zyllAjIBmQCXuUsmIBOECWACmBBzYEtyYxGoiup8L11NoogAhZJcIohfBIfjuPzrqw1wON7BObDj0DgHdhwa58COQ+Mc2HFonAM7Do1zYMehcQ7sODTOgR2Hxjmw49A4B3YcGufAjkPz7682wOEAnnNPZL50wDmw4+u5pHPPDDLpgHNgx5dTp//9z8xTPfmAc2DHl/Pw/7f6s24Stz/lUxjilde8+aNeJqReeP4a9Ib2lpazhDyV00amq81AyucLUyDHvlQBfLCoIqL4Tq8AIRERRclCMeFre9vGGvSGdpZmQTBHyh2KnaLpmmZ6oZovTMY58N4EnKiKGOORl9DLq5KCiIgv9F+iKtjZg/WGtpa+4hCzHJh76jHBdF1zxJcIk3AOvDOFT0REVRyxiCovao7yaLmkyis2tEtBb+hgaTbPgZnuygbTdc0sWyRsjHPgnXkFRESvinhAFLLmYXlnpoemjWiWB61Fa6hg6TwHNjz0O9N1zYmxm50xgnAOvDv+iyiLiONFd8TNMc/40LRRwdhVbYHOUMHSeQ5seOh3puuag1g9ZhU2wi2j7U12LZkX31LulxceAQAeZdA2lmkOAEGkfEzTwvw0UM7b1VDBUi2qkQ+ubehMf6jrDeUzMchqzzbfIwBuFeIzFAxV4Xe9WdR1pUn7JdyVD2hbQuN0fSdDB0u1PbBqZPvQVxsa03Vjgig0yGrPNt8jIiJy68Af4Vazf85x913kaPq1tKzIi4kolM/Xt3jI5RP3NbS3VIvGyCfz9Q2N6U8llAF4hAZZzdnme9Qy/aN0vM0LrCpYv4jgNXe9uBO9oFtaMLREMA4XN0IytLOUSNMD64xk3NDQmM76Z1DYNdyZSRYxbrtHLW4M/Amu4Kyu07j9b7u95HnAw1d2920te2/HSYZaN980Rj7qQN8AoO6agfqUo2btR7hBVnO2+R61uCHEB3g+vQi3IRBFeCw/ur9vsm/2LaivfRvbx8AO2VDbAAKAYuSThXJDf12sb84vAdDGn9XDtE6+4F6Y+R4BbgixK0lYEVHlIaMMrCJqJmFh/0x8IWuOveRJSt/S/ElEoynVZwwVLNUuo8lG9kME5boiobkiitCukMWBSVYvzHyPiNwkbl8ujyeAWxkFSBEzpA8AgN8/mh8AbgDgUwjUQuxK3wL41HZBJdQ50K6GCpb2WIzshgjydbWmd80M4Cib+WgaGmQNwhRZY5b/Wh2z8eOKKAEnIt8jitsAiKKfjAUI/DsRve4JEXEM86euhajKurP9furzIUMFS+ne9sAWIzmTG5rrak0fmolCcCKibNiSlC+4P1uRNcI58J4kYZyEXkJEFLMo7J+A3G//iMCab8XnRBRh8Je+hV5++5gt9tuJMxnaW1pFHhDd7UYyrjS0S8rFaIBBRHcwIiI+HJIveFixkGSNec+BK2FZp8gKomLXzc49VKyIqllAlWXd0r1od6HEryAhIioi3cX1EUCrNqDnYTBUY6nZyCpTl7ua6yLOSWpmSIgqpg128CL5bFGWdFAnYDbhsDN0B8CzXUP+dlFx33tpVUvij/fUsmayVOnGCEW7fZX5u+/DaZAtnTBSor0ujekRAqLEVz8yJUviLQcWg7LDqoo8tqs37KNi7zBbPcm4N408IqKC61w0aQaDr+Ar/Fex1G6kTHNdOtNfQEG+9su0ypJ5x4FfM4KFvj/ZrkGKZrWj7y7gRP3alQQPiYiK6Gv8V7bUaqRCwMlkuo+o0Md22GQp6By4igM/4AnRxKQ3sGYVrL3f1fwPrv9KRSX+4uSI7UFiiFUhon0faxthMNJyXQk8QyrGIlm/1CpF6TWMPODxCC7WEkb5n6rbGLoKQSZ+sw959YyZenbqS6RZ7dRoWK9irOSWFmvFbEX9289Mm2z5n9deq7/bYTDSdl31b+CuW9hdKEvzy+hWM5h9fMGHETjjWdV+pB2uL8/56tEmf6ka3lExUvKaEfe/NxYL4iMM1ExG2u4sh/5Dy2QpPpqhHzhEdgceEpa6FeaKoV0XseZ8aZdhBDTJX6qG91SMlGDfpbR3qMJKP9H5Tqw08q6774tlKT7qDf1RZXXg17As13pL5XfeZc/5mnQYNflL0fCuClFJoF3M+Ra8sOfi70asNTLULIstliX7aLtD0tB+xfq+O5b3hQTvsud8TXqXKflL0PCuClEJ/8bbkcWumcgbsaWRS2XJwTy5GC/CAdSXS3k95wDS0+l0AvLT6ZQCqKX3VNWnHHHz4S6Tqr6df6dAffplf3lbeT2dTqfTrfs/87XnCxo6FWs1jJSw+S9H/DieJRT227ClkUtlyQHtueiWIVCfOEeYn5MAPPyDAvDjU+bLZwK45Eh4J6SdLkbP5yXwzr4mk0QgvTT/DmsK3qPWTDgFDb2KtRqMSk7if8LVyxzflJ93dWo45fhLvYID8MNzDbCwLAHUsc5ZLg/Ru7q4uSBGeuPx3eZexgwqi4ZOxWoNYyW7p5o59kLugb1xAGiZNsnMwe3BgeiWxsBTl998SRH13iWI4NeHkA99bf7JrwAQNF5eshh5KS8I5kouwEiDoGKsQadCr0FUIkT6y++fbTnpDx8Cv88QMl3d9TC/YOFaWqQxcSzG3SeUtbOhrAnf5IyoamdPgfjRCBAmVaLUSAyjH2kW5lmRtA4QqZOwsQZRxUiDSYWsQVSi0aaw79eyL9N75Xu+bmJblGuRe+Dw+hxGhuLvsgaAME257l2Y6Q08Gf4bjCZFz6Hva/zgVyT/jB7dKTfeKpdHp5KGsQpBg0lFrwH1LeqE90qE8cfI9GFGcWgPHjBcnaFjPgSyR3Mh6jKiV98DN6vLXtAHSAg9cAJ0cc8J0TiTKvKU2CKlw9NnUInIGgQVOg2KCmuG2Ujb6OZ83x2Olfy8q1PS6uP8GrY90y2A3/Z0TzQ9GL/2bzfyn8/2z/QCv/0N3zgA+I+y/XHXaYJbynP7bv4DwC0G4Ld3uIQP1HnfRSgaBhULNQw6xAwzYT1l1BkdYQ1rET/w6hSXLny/6dzuERG9WEJEVZftUaHfAEu6fitDF55QtSGbbSZVEd7DjAp4UtC48tPXZlAJyVeqhlaFSYOiwpphFujjTx1HQLMJVUVedM+SsPmiX0GUxf6QzdXPpIrWSV4M8IMgCAL086wmzucFNKmKUjy+4sDaDKoh+UqnoVFh0qCosGaY7Zcr6dgdTTglUD9z+EE3xSlLYZegHmY+f/xE/mBH+eceACibp9RTmuSqk7i+pVnovSABgDINzNPjRoVBg0UF/gmbplYJUP9OVq7of98NvBH2TZ63KEvh3SdlGraa2nWAUjdIKT2M3Ohd1vu+Lc5PzaSag5RBpU2+elOFJsPsvvadj0fZyNot5cReVUNbVKM9uF3FjzfejcZv5pkTx9XYPZt5eh6A/NYELpc3q4h1KroXJHZKADz5ut5gQXWzr2W3ydrZI9S3NA3ZIwrz86t9B9TF50D+zJXn4nCQJWftfu4K3nD+yLYOk62IEB1nUE32i2tUqBlmFVsZS6VPqf2LmKiqoX2le39wq4of7zhwtXWety0zbCuUhKtk7XJon0tXZOIrH6Lu4bjk5kiJgBtI1EjdmomqGnYH3qrix1uhsNm2S+GVspiwPUr+ULU2W72rbjZRXm0eozHhJhIVqTtgr6ox4cAbVfx4L5Z7OnNnER/ITVNmntFapV1KrbW82mzERMBtJMpSd6DiQRhRDE5F/yKoex+ZMuHAG61evpmM8A0y0hegS7ha/Q2371yaKq8227Z+TLiVxLHU3TBW1Zhy4G0qfnzjbJrt2TLDrKtuNlVebTb9mHAziSOpu8HBmD88iYcQmSkH3uZtx3+VA2+ZvNVXN5sorzabYUy4lcSx1J0wV9WYduAt8q3/rhoZ262IdtXNpsqrzS8EN1SBs0q0VU37fG25ZVU1ZDap+LHBj+BvJBrPQEwDwSWF4MZjQoNEW9W0r6gtl8GrRiG4S4YQW/TArsTAOh7jDCVDebVFheDGiYB6ibaqaZ+tLZeeawD1BQl7pizsu1O2oA/eYi/OOfACrufur0c98pI8ZcVLCF1pv8OSxUybjGdoEVxNL9Es0NK2jwOvrKohsE3FD+fAs6n/3B7dqE2q+XsFZ6iHV1N0heBCYyE4bYswJtRLNAu0tO1TW86PAyC98RgoPY5b98qCsP/B9Hqvpz+9BwvGlOEWEWnOgediqG4G2MurzSgEJ5ZSm5aorR9na9unthzP0/R8SxIAYX099y8K9fijNeCK5/XRGFA/IB9EmW8TzbfBOPrvQFfdbLq82oxCcKNEwEmJuuw+ReQnasu9W1VjoyV558ALKNBGUnjtrLuZ8UeIiEIkREl7fHhvXIRMqCMjVi4Zt1C7XjApUfmYIFNpo91XITTMq6qxVcUP58BLkKubTZdXmy4EN04EnJSoZPcJMj9bW87InKoam1X8cA68BLm62WR5tTmF4EaJgJMSlew+QeZna8uZma6qsV3FD+fAi5Crm80fCJoLwQml1BZJ7OrHaUeYn6gt9y1wDrwIS3WzMfMLwZlLqdkl9tl9uhHm19aW+yTOgRdhqW4mMbsQnLmUml1iV05NW7fti2vLfRC3DrwI30c6bwGTh+LbtNsXYbJEXZTNAwDl4z65XCtJ7N6tqZPZts2RenS074VwGEkvXlivyIb+lTD9DrClZYLfkS4ibbrtZ+F64GWEKG8r4hNrmKIazS0T5LX5c7a2H4Zz4GUwDm9Fh8leL8PD3NwywdMzx8LY2n4YzoEXEmDVA9/sUKtcrT5L4Rgz234ebgy8lHP8DV5Lmv/hMI3EbW0/D+fAx6S0pEfZ2n4czoEdh8aNgR2Hxjmw49A4B3YcGufAjkPjHNhxaJwDOw6Nc2DHoXEO7Dg0zoEdh8Y5sOPQOAd2HBrnwI5D838rqJuLSfNlqAAAAABJRU5ErkJggg=="
\mathrm { C o v } \big ( \tilde { Z } ( x + \tau _ { i } ) , \tilde { Z } ( x + \tau _ { j } ) \big ) = \frac { \mathcal { K } ( \tau _ { i } , \tau _ { j } ) } { \sqrt { \mathcal { K } ( \tau _ { i } , \tau _ { i } ) \mathcal { K } ( \tau _ { j } , \tau _ { j } ) } } = \frac { \mathcal { K } ( 1 , \tau _ { j } / \tau _ { i } ) / \sqrt { \tau _ { j } / \tau _ { i } } } { \mathcal { K } ( 1 , 1 ) }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA5ElEQVR4nOWTUXXDMAxFb8bAFELBFDQIKQRTSCFkEBoIK4QYwgyhhZBAePuY7Xppzva9M33J8rX0LFud+Nleftn/a8B8en0r/ha3Gle2EG4LIS+MscQLMA2S4CZJWmHaAWu/SgsskqT34kjKGmZzEMEDkMB2GuxDkisaPKZdBvNw3fK5LeVM324hBZyeJKgBaoWxkE0JmgrERmLTyQTDgYQWqAkwiAeAr6n8EeCqGIwjwPP1guc7PaTnPiy4VdJkI4M0XHK4e3z7+dwb0UZ3iuHuLjnatXMRY289kK5WO9H9j8H5BD4L4VV11f5RAAAAAElFTkSuQmCC"
u
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAbElEQVR4nGP8z4AfMBGQH1VApoL0WQz3GFGF/iODVcb//99VQhFCNWG1CwPDHhc8Vrx3YWA4a4xHgSADw/vVqCawoPDKZ70/K6iEx5H///+fmfYftyNnzYK4E6cVZwX3rA4NRVXAOJomB40CANAUTuFTQQqjAAAAAElFTkSuQmCC"
g