image
unknown
text
string
"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"
\infin
"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"
\begin{array} { r } { r _ { B } : = { \frac { e ^ { 2 } } { 4 \pi \varepsilon _ { 0 } \varepsilon _ { d } k _ { B } T } } , } \end{array}
"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"
\delta E = - \partial _ { \tau } ( \Lambda E ) + { \frac { i } { 2 } } D \Lambda D E ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAu0lEQVR4nOWSXRXCMAyF7zgYCBJmoRZmoRZAQi2AhFYCk7BZmAQqoZEQHtjSjXbwDnlpTvI1P/ekEXy2w5f8zwHMAGIE+ttpCho+qheiHSN5hNZxvyoh2dxdRJIVcW3SYK6AmzUAggFgqTLDCAMAk0FkcKVF93rO1g+eBg0r4N3sDCLykBKw+dPGFKBUB5rlYJqdy8lb9HVAdegu3JJhKoilV3IdbYV9G3JWoQBWUmPk6Vp02Bu+ssV/A0/27e2txTrZmgAAAABJRU5ErkJggg=="
\zeta ^ { \alpha }
"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"
\begin{array} { r l r } { \frac { d } { d t } X _ { t } } & { { } = } & { u ( t , X _ { t } ) } \\ { \omega ( t , X _ { t } ) } & { { } = } & { \omega _ { 0 } ( X _ { 0 } ) . } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAsElEQVR4nO2S0RHCIBBE9xwbwBJogZRALVgCKSGWkBawhKQEUoKWkJSwfmACGRn1X/fndrh3N7CDEO91+ND/PeAiIiIyYjpJmwHZkmyMAibToVnuKPLlKksyWpKcVT5ltpGcVUxsFSBp3bOqOtAjLaBydUDrVG8IVSDAJ9PpYqoIalrN1deTXIFRuQI4vmS7tKEeNXTacfZ6N5CvMwBuCKbnTuUzPQAb933K/9t/BzwArSj1ZL0i4gwAAAAASUVORK5CYII="
\boldsymbol { v }
"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"
\%
"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"
\hat { S } _ { \alpha \beta } ^ { ( 2 ) } = 0
"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"
\left ( \begin{array} { l } { \zeta _ { t } } \\ { \sigma _ { t } } \end{array} \right ) = P _ { 1 } \left ( \begin{array} { l } { \frac { \delta \Pi } { \delta \zeta } } \\ { \frac { \delta \Pi } { \delta \sigma } } \end{array} \right ) = P _ { 0 } \left ( \begin{array} { l } { \frac { \delta \mathcal E } { \delta \zeta } } \\ { \frac { \delta \mathcal E } { \delta \sigma } } \end{array} \right ) ~ .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAwElEQVR4nO2TWxGDMBBFD50awEIsYCEWQAKVABKKBJAAEoqERgKRQCRsPxJawqTtf6f5yZ3dk7uPmWTC53P6kv9RYJ6DaLMgJDpr3gSVl/4+OHTOeTFwTZWwBuvVVKtUiXJFi4jIorZQBIy9hBfNLQWstUjhA6OkgOYuolnjuXZNWgrIMfFc55dse0DBO2AyFWAxOg24eQEYLi52ePbQlZAqsQGWzdkkAVeFfHF08HvQOaoXkUUr0M1+D9n/XwDwABOJwmG+DjfqAAAAAElFTkSuQmCC"
A ^ { \prime }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABC0lEQVR4nIWTUZWDMBBFLz1rIBawEAtZCVjoSkglUAmsBCqBSgAJWAgS3n7QQALZdj7z7jlv5s2kEjDdKFRrAb4AeJaAhQ2w/g54F5Xnb8JJkkINmKBYowEGSdIKqAdoNkDtEVAD0G9AOAHB5CZNBC6vVkwLLD9bay5vUpJcZhKGIWQW0nwwedUOqD1McgJk80nOwEjBJAXkCyYZoBpgzJ4upNXtWzznIElyHyz6D03OJm7gH8CB1xvAgz3qKTCAmd8AoYbupCdAA9dEaFyXAx3UyYQh9huTnG7Qmz2/xzFJC21qbQ9H68ElcrhuV71+vccdlu/dYEoWJr1u/lSJhSvprKFVAqoiIAD+AGCzcV3FTCAfAAAAAElFTkSuQmCC"
\boldsymbol { \Sigma }
"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"
\epsilon = \ln { ( v _ { \mathrm { g } } / v _ { 0 } ) }
"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"
\cot ( z - a _ { 1 } ) \cdots \cot ( z - a _ { n } ) = \cos { \frac { n \pi } { 2 } } + \sum _ { k = 1 } ^ { n } A _ { n , k } \cot ( z - a _ { k } ) .
"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"
\Omega _ { M } ^ { \flat } = \Omega _ { M } ^ { v \flat } + \Omega _ { M } ^ { q \flat }
"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"
\angle D O E = \frac { \angle A O C } { 2 } = 2 7
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAr0lEQVR4nO2STRGDQAyF33ZqIEjAwiIhSNhKoBI2EqgEkFAkrAWwgARWQnqgLTvDTy+9td8tyZu8N5kYxTGnD/OfE5RZYczlegMQpcjKlcDb2mvOUQCMPIVtC9fVLSB5vZeBKFpg3A/ZslRAM5Tybp2TcRcjHGMQrmjp6pPAwauq6pQHTVjfYYi8nwEAGBLT+rXKkaVmNrN0XyygG3g6ygDA0YZFQs/9Upj/V39J8ABWkJOVIxu34wAAAABJRU5ErkJggg=="
\mathbb { P } \xi
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA9UlEQVR4nK2TXXXFIBCEh54awAIWthKohFsJsYCFXgmNhCLhIiGRkEgACdOHHn4SculL52kz+2UX5hwUMdbLH/0emN+Uel/rtzqu2D/EpnnVmy4WWy3akdyAz2Lh2BeSpIG9BKLgQZK0zeAWcPnHJ8AD+B4CFoY9UHMIAbdhUB6YrqIsszQkl1LLusIn2FyvMGXAazVxX0sp/YrGArD01wRkK6xhfwZA58V7e98GyEt8egJkBVgZAckfEu0Bn8w0BO74wgiY95s9GDUHR5LRmMhWBTC/6Ux64TXgAMdtklO/AlEAaBdPfTYPJwQrGmep/3+8Z/0A5wF3M5x5YVwAAAAASUVORK5CYII="
\boldsymbol { \theta }
"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"
\begin{array} { r c l } { \frac { \partial ^ { n } } { \partial \lambda ^ { n } } \psi } & { = } & { ( - 1 ) ^ { n } ~ n ! ~ L ( \lambda ) ^ { - n } ~ \psi ~ , } \\ { \frac { \partial ^ { n } } { \partial \lambda ^ { n } } \bar { \psi } } & { = } & { ( - 1 ) ^ { n } ~ n ! ~ L ( \lambda ) ^ { - n } ~ \bar { \psi } ~ , \quad n \geq 1 ~ , } \end{array}
"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"
\begin{array} { r } { A ^ { \mathrm { ( o u t ) } } = \left ( \begin{array} { c c } { \frac { \ell ( \ell + 1 ) } { x ^ { 2 } } + \kappa _ { c } ^ { 2 } } & { 0 } \\ { 0 } & { \frac { \ell ( \ell + 1 ) } { x ^ { 2 } } + \kappa _ { o } ^ { 2 } } \end{array} \right ) ~ . } \end{array}
"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"
\chi N = 2 \pi \times 0 . 2 5
"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"
P _ { W } \propto Z | B | _ { I M F } ^ { M } P _ { d } ^ { N }
"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"
V _ { i \neq m , n } = \frac { 4 } { 3 } \pi 5 0 ^ { 3 }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABgklEQVR4nNWV0XmEIAzH/9evC7ACK7ACK7gCNwIdwY6gI+gIOIKOoCPACPShhySA7fW7p+ZFTMyPBJJ4i3hN3l70fx3w3tBt87ZNmqk+Nvaq+ryOpVgJAJoriy0ssRTuqwR0v5bUAuCzpUhhvEMMXSvXzqTV/TCCGNhGA6B8rMWTlByw09jodw6QLf/oSNaGnw8FeAm4lj+VvfiGAizQ/eYfDSR7JwCP5wIYrgA9oJ4IQPBTItc4Axph3I5DKc0L8ZQwg90hvUYPwNlkNe0ALL9DloIDIIR1Ma6aV2sWLypyBvTIVdSh2ikFUFY5qPF02gH0DYAomyxGPg9keipgqY9wDKj65GKgSCDU2k9IU+r+AhgPVP4EoGpGFYD4CSBBdg01EPNRFRHoTFQiYElntD0iWACRSCMaGdCBYvIkXPEoeWSda/cq7UYBTN8rlXqOAHS7V+k8WAXE4KOf1FnJGbBe9CobaXvqQTkl8wmw5SB4yI1P7G0JgNDVDVzL7f//XL8AgzlwOsdMUcQAAAAASUVORK5CYII="
6 . 7
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAACCElEQVR4nLVW25GtIBDs3ToJkIIpsCGwIbghkAKGgCFICBrCMQQJ4RCChND3wxeKtbe2itM/ygDzaGYYPog3oJVq/+cbYObj/+MNEbgghN4Gn+X1I8CMbhs8CiuPo9dQUHGXlGV/Nuzrl34dp1DYgOn5VOR0SApT5GZEBchDUvaQhwh4fRKVjcCrVtTijQbCEwCCA1BtgZCT6GZOVVp+K7rt53lznk9tMpnMl30CElpAVlpc/Rmq3bMxdxbJen/5piAnRd7l62xIcu7Ni9R3KXlEoLYt+aoHEGIDQGWmBwkgthZND+k0ADRASm+GjATgAfjaAAOA8WcG4lcnBi8tEAyAVkJEoFo4UndqRiCOEBJAk3Ik7WogaABeAFXlJZxQg8XXpmitnBV5mLuBSgKo0wViiyBILFYGO0gvPeplUoxqqRwDxOW8vxPXdljArxKJM0KUYI+efAo701LRUJHsJpIvQxplu4nnFrKlqVL7laOuk3ZJ7GpKk2e21HamIvtlp5lYL1OTvcmiBN1lvPozGTK5i1pAQgwxuKb5dgCsR1hpNnfkH7iklYNz27Zzy4zXPPt7R42j1w72R61Gz7dplsfzn/W3tWzSlvaf6/qmcn5HKyGiHkLYWfv99P4MQfY2bWmFXxVbxzkKonDLzDtOYQNLx0lRmKKQSQo/HXN1hSPI6+Ydj98T/gFAt1L0iSdAhwAAAABJRU5ErkJggg=="
H _ { M 2 } ( \rho ) = 1 + \frac { \rho _ { - } ^ { 6 } } { \rho ^ { 6 } } ,
"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"
a x ^ { 2 } + b x + c = a ( x - x _ { 1 } ) ( x - x _ { 2 } )
"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"
L ( Y | \Theta ) = \prod _ { i = 1 } ^ { N } \lambda ( t _ { i } ) e ^ { - \int _ { t _ { i n } } ^ { t _ { f i n } } \lambda ( t ) d t }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAABdElEQVR4nO2V0XGdMBBFjzNpQC5BKUEuQa8EUoJeCUoJtEALSgl6JYgScAl6Jdx8AH7AYMsz/klmsj8Ml93DXWkFT+Jr8e2L9f8BnwHcr5frzx/X16P6cnl+vr4C+jgmXyRNhmGrFpsk9ZiiFqALRZIipm5UV7SqLQBYScqQH2LyM6BCbK2BwwLcd+J4e7kBGM/YAuScAEaM2zOW663Vwto0cXNXQ6yL7D8H6Aln8gQRqQ4xb+W8z6o5BjvoLOZdGAxg05ta4j6r5tw7f6DOTwxZJEJR8oR1n1N/kus48dAxSCzuetxCOH1ZgnTUegZJ+DXF2CJJwZ7US+AOymCKJPFmuDhCjJadgRqHtYfDfqW5Xtv8aOHQQLda9wdAWaa5a8yBZ1m95Uw86ucVm7rvjaMwhrBMbgeMF7ID7r/CPMs323BQXVqcOkmKECXVx7lIrVGu3g85d8zDX6ydZs4a5an5Yxl/g+nse4/bgEb8A5/1vx/wByGWR8GkXcOrAAAAAElFTkSuQmCC"
\sim 3 . 2
"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"
n ( \rho ) = \left \{ \begin{array} { l l } { n _ { \mathrm { ~ w ~ g ~ } } \qquad } & { \rho < x _ { 1 } - x _ { \mathrm { ~ t ~ } } ~ \mathrm { ~ o ~ r ~ } \rho > x _ { 2 } - x _ { \mathrm { ~ t ~ } } } \\ { n _ { \mathrm { ~ e ~ f ~ f ~ } } ( \rho + x _ { \mathrm { ~ t ~ } } ) } & { \mathrm { ~ o ~ t ~ h ~ e ~ r ~ w ~ i ~ s ~ e ~ } , } \end{array} \right .
"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"
J / \psi \rarr \mu ^ { + } \mu ^ { - }
"iVBORw0KGgoAAAANSUhEUgAAAeAAAABACAAAAADn1PsTAAAJRUlEQVR4nO1d2ZWjOBS9njMJqENQhYBDECFQIeAQIAQ7BAjBDgFCQCGYEFAIzIfAZnnCEotN9dT96G6zPaGrt0qiDzV+8Tfjn0834Bfb4pfgvxz/froB/1PIGxB4bxB0+PXBn0B8AQAehY8DEdtG0q+J/gTSCwCgPPlSHzjdthL1S/AHUMb8XNRFCOTHuIS6+el5IwX+CSa65E6X57kq4XHhdpcr5BL/6auMAUB5ypsjYbK8SQbUO8eVey6Xnx+8imyrJtV1XSCs5t/9vPeqmyvWaBONnRNcBRB3h8s9sOhe1/XVAxBt1qy6vjJ2XeVBWSTCZJUn0dg3wYWHs8PllQfeDocAcLrXFZWHcMPHr4Zd+2DpqyR8fdkD8QWP68svgN23Cl0AKF/O9JwpFTIHLi/qgD0XOqSvIqfX7nYc9yRUHqzcpA5Ydkwxi+EyJw5uVfTYMcHKV+LsdEcJxI/omQGQGxIMdj2mzK2BGlxQB5c2x4RP+wgzBFC43dGLrDi2dcJ1XUfAOpHWhnj4YCWH1FPjDID/+JeD2+i4nczylkvsnB1KX/GicbvlF4Bi22qv+lKbuvlp5FKh5GgzfpV6JGMt01S/8+A8zlGepx/K0iVah5bR4KrO79ED72RCU7GxAr+UUz1z3wirpZdVdg44aepCfCiUrs4dMr2kruvKo9PCR7sLIYTQo1EIIUT7gFG9gOi4LGyHsYj0iLifG90Je0NEUASfSVMcAqMKh7Wcur4zACuUOopHR5Bn4exG6t6oJLTFAlXU9kKURJEH8OzuGR7Rb7fovUoWUqJJzbjrfg6eRzIACAYGgCQ4ABu36w7Sg1rK0ZLWKHQUj6FOnuZzVHgpwVcGAPxRHikCHVKSj5iKooUIfAAX9doV8uxLAegErQqAXRKbU94+BRkE2MqJcyCcE+EO4WUATqnpdHBBGrkGwOGyKFpPNZ6fw8S7pidlvLxHtxge0k/pDQ3Qvi0BeqNZgI2NF6XBBamqHJRe28pJAASvi8WJEFZVwmrUUS2u2DxUHyIEMHrnZERTixcE69CLdfvKQHDtAR2HFFH9ThIcAeNIrkDPDjvKSWBnOSNby2gkuAIRKmwKbU1H2Vk0k+AmZr72j5AEZ+icSejggyJYgI8vNLbXRk5iq1bLCa4ZqPG5HXRWNiag4oZ3sZvwH+XIBEQAINf5bnpCYpuCki5Ywli8eyknPoEX2rdIqii4KjwAmwvp4KIAYBymMWO406PbpMHn/hE6v7wD0Np4BWjfRmgwfS1gTnKm5dw9IGpdiiCMQwcraHCIbaclB7hrNukzczS41H9ZlXR5BKCMAXmyjJ8BQFJPl4C5/D4p53KUomjXv9xyQzVuPTDY2Td7mONh6OSCrjFyQxj+gmBtfUK7GD5iAFLlNsmXwxsX+xSg+85RTn6MWZK1IyM/mcqt62JVgk9+OXFW80HSERgyrZ4+D0105QGA10s4YC4BJgAgmNlmjU00bVmiUcts5FQhAE+04ACmU6UVTHQ23VJ30OlHtyFuMxyTBOu6kej30gTBOoWZyFDGBCekr31BsEHOuJz+ohi9FsELlmeNEcK8GKjQr+VSgqUqWXnzZy7RW5z9GmcfAHeZA5LGWaupWRpbOW+x0IBcU04i5bfJxU36ZxoUwc8JQfDEqe16MahLaEMmSQCmlzjQcsSelx/ZI/PlSa62jJYiWJs6leZA+Z04LIqQemic7vZ3lHO0zF3OTwK7HlWqkpXmmSmCmy4P0hOgvu1n3aWvQnYByti6zJ/PMaMz5HQkdsoSEpDx86fYxqLnzoUQccMNV+LEnHU9PY88CLJ0wWTg8mGKXQqGUK+UYaaoYxRkkVOFL2brLeRMgJyr0zAHXKOOeiADXgU9ExInQL++PueyjnoyD9au/mLXIvWtwgRIAKj45dUNzC54XTl/C3RvkZmyjMl8fHJVpbYI0mpzkPLLIAEgRA6kgR1vuXImeJacDro3yBzCo0+tCPfHljeTNRY5YCD4dqHj0p4+Dwsd+o6+BQJpPiqvrYfcQV/RPr/7m5wqrKdMtJ0cS6yVB6+8C6pgxlqCuRZdh3Nq0TqSm6qdNVC+9PSOOV0qzo1rIHqQxhLqunJ+FJSvcDZEtjwEAEW9dU7PGNhMF74muNPvTak4tsnJ1ZQLpmLPmXJ+FJSvkBgDMz2PQhCcl5y00DYEv+zDXr+DnQEom9DMNUmaK2drrLr6+iRZYS4esgQA5Oit1YmYJAbwwgfr39rRJU2+hJHnK7zBugoO0M514IMjUxmXrkXby7GEkw+mHe2VbOkChPCmF+Jq4z3MlIInKVXIg+cjpjVYD81cAYA0afLNl71gtJng/Z58sn4wNVUIGPR6vpylKAGTHZNYe1uRl00bBF14OvV8U3m8eY/CyHda3vzn2d44GGpwsy8jquu6Yo2uoK/BdwEMFp5VzeLlsXb2Ndi0CKGZNRmsZHeRYwlbDQ4B0xrAFTdQNHj9NnpDDotaNb1HvSk/AB17Y9q60rx44/HOVfHYGdF7o2ura8G1kVBdH+uEWTic9+oTTE8VPhrZPecoxxIWBFdZ0srh0Tkb9f6bl+w0SHSTuIiiKOAA666pYpMEtxuY2kZXj25sj/QI7gyJ5pG98vBwbPcJDs3eS6DvZhzlWMKC4MG4Hw1Igc/sMLx2Vtl459646xsVix3+ZSkVnl+tOQDCdofgEH4OPAX+UQFVUQf06v1ojZ0Jk4gvi4X8UUD1mQ2GSioJcD6KY/KcP8Nwiw3gnNywvBxSmfOL4LL2WrZtUCqYAsXNwYRhMWRvVuyDO/ynsmCPl28gWCyuP0tYLjn9GD5IsAQzJwRhDLXoY2M2WD4BLNHOue0VH/yU4W1q7IfsvTsGZuKmW7pjfI7gfLLEx8L+R3P2CVlS20h2hVkE54fD4XA4OEy3x/qOrk6WYtJCRuwNO4uWIgWcdwe/Ge4fQnvS6uDCOuuSbPOS9DQ/HXsTyq9tv7W2Bnb8pbvvG7I3LWyeiVO69xbummDlS6/4dCOmkPtvKMYsxY4JRnlUG35HeTHU166b12DPX3znGU/3MJ9PQ/k/gd9da/CSL7pujvJbnneeIQHYtwYDrIjS4y6TpctRZT+B351rMAAZW3/d8o0ov6Kt/h+clbF7gp3/U473QP0Men8Ewb9Ygn374F8sxi/Bfzn+A3MLv5A0q0wsAAAAAElFTkSuQmCC"
\mathbf { R } [ X ] / \left ( X ^ { 2 } + 1 \right ) ~ { \stackrel { \cong } { \longrightarrow } } ~ \mathbf { C } .
"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"
x \approx 0 . 5 1 3
"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"
\frac { 2 } { 5 } = \frac { 2 \times 8 } { 5 \times 8 } = \frac { 1 6 } { 4 0 }
"iVBORw0KGgoAAAANSUhEUgAAAXcAAAFjCAIAAABJ5dwkAAEAAElEQVR4nKz9WbMkSXImiqmaucd2tlwqK2vrtbqBGVxyfvC9DxQh5T7ygX+EswgE6EGjMeiuRu1ZmWeNxd1M+aBun39mHqcAUuhScioywt3cTPfN1PT/+f/6f6iqlMvKtVqtnp6eRGS9Xo/jeH9/H2O8uro67McYo6rmnFXVP6eUjsejqqpqCKEZsOu6GGPOOaWEV6zX62EYhmHwG/q+9we79ep0Oh2Px5SSj4ah/Bu/cxgG/6dPz0f2CeScMbcQQkoJD65Wq3EccSdmyH/NzEdIKZlZH+IwDCLS972qDsOQcw4hhBBijDFGM+MJZBWfM17q8Lm/v/fP/iI82HWdv87MfEpAgQMkpTSOo690tVrt93t/tQ/lv/rb/bbNZhNC8C9DCJfbSwcjX/7N09NTznm9XscYh2HwZw+n01l68BWN43g8Hh1r01DB1ut113X+jX84nU4XFxeOxL7vY4wOzBCC0eWv8NfxS/nyVThax3EcxzHnLCJOMyLiGOm6TlUdArvdLsZ4Op0cU+M47vf7i4sL/6brOqeKcRx9Go5HH0FEHBfDMOAVKSV/aQghmDSTB9WBivg6Ho+r1arve0e3E9JqtToej04nIYS+7/u+zzmfToecs2h2InSS8OnlcjFqcs4qPaAH6nXCcLj5Z3/QR5sWEsIwDIfDwfEODvUlgH2cPn0E/OSvczp0nKaUnCXXu+3pdHJEALzdWdSCSTBFlxQgBYgMn73f46930GDZYPIGAcfjkVkLWI/Zn0gY2eeKEXw0SBOHDr8U88dnkALDCDPEiljQ4Pu+78dxhFDzN7qMAEb5fiNkO92LyDiOjg+QI67T6cQjACDOIX6//+pMAhri+UPs+oDOWj7CKZ5AqU5hgJKTmktth7nLGqbj5Wdg2T/nnAB/Jzu/DRLBqXAJqAYvS/4EXngCUGyPj4/b7daFmo/vCzwej4fDoes6x5rParPZ+GT8TohmVV2tVg4H/OS053IB2IHC2+/3kNqAg2MEK/KfmAX8Tl+LkwR0lRA3FQIQno8VtddAb2L+QglSS5mu6zCmqkKG+htd1OIbV/lMG/jgGoXp0z+4ymRq8Tnv93uX+5AyIYRnpYxjCMQNe4QXiSWN48hGBxMNxIfWZg6wAlk4Ifh0ZCEC4Qo96UpgvV77JP1xHwdr8we1voBmRgkuRjOj07kXhhVDFstnCgh9B1HLEHAp01BDztmXAIEuRUUwJ7tQyzmfTqcGvA2jmpkP6Ct1/e/vVTIMfXCncqc/F0zDMMS+51dgDs9JB8Y70yjwC8gArXwzhmKt0FwAFysz/yeEGiu50+nkdx4Oh5TSer2+vLx8enoy0igOScAZlgjoUIsV6aiElj2dTjB8sDqYzzwZIdvBdTu/HRYllob1NgoJSxPSkWBgsYrvAFiYP0KyTwpfS7GmWVxiPkK6hClfCs1DBWImGN9sFi5S2PxZKeOSBeJ8s9k4iM0q1cSvOUsfXde5OFRSWcyHDkQYhENO8MggFCFBwJbr9dohcjgc4L9AM2CRPBN/1oHLX7JYYXT6l06dzo1OMS5VYc7w41iUj4MpufnK/gLei9tA6G6og76Bb3hGDZr8g0MAVAVV41oL/h2oiqUqqNOKzcgiZnkbi1o3hWSya7KrRLcsuq7j+89KGVxn6UdEnAhdasBdUtXtdusmGMsOEVmtVu6J+4A+H/8SPA9cu8mjpD+c9iDWYRcALL7eRt/AiAPcsMzVagXDHIQNU5RlHAsmJzZWM2wrYTJmtlqtgCAmRZ+PAw3WWdd1rqSZ7K24ckz/jBfMR2BAFTHaUH4IYdOvfKoQr2b2rJTBsjGVlNLpdLIc4ctIUWVawjRMkf53tVrl4tPiKbAoT5QlLuOY+UeKVDLyP4E8IWaAisZbJrHaVUtmmALNPCuYmswnPAfQmZEkzcX/cljHGN0yh+3DhMIi0um47/ulQGFmwM2ub3POq9XKXWh/nUdDRGQVV0oWvharBOB1vQqk4HUsVoR0SXMJMVUDTAe1FVNUiwptqNOeUVEMWCmSC7hYr9en08llB3Dk+HLzs+97N3jNzGUNYIiRIX2U1DXYyanOFQws7ihVBGRJtw1VQ0EyxH7mYuKB8FJVjphoCTLknPsuSK0PgJSu6xwFCIqt1+tG4TGcz84HxIOAji5UVEMqWoxcYPZZKQPsYp0T5xfiZ7HC7zsra3yWzhJSzDmGqSLaFDtQnsOIjTqQGmsDFvD4hkmc58PQNFLdeBY/+XVzc+Pi1WOZEF5KTgQMbx8Fjh4DGlKGQec3gL59zjCYlQxypdiKA0SKpnJoQBa7EepSxsHFlNeoTeccI2u5EbJ8JyiJucUfd7mGm2GNqyobIExXfNnC9sQFFbVarXxYLf6ds5kDv6FsRC5dXucSZ/EvgQIOLmDheDWENaCtqh79ZVOUaR7ipuGC5jMLaCFpAsUJwSpFH8C8YoIHfvMiagMHAv7der120eyPIKRgJVTcjIBX4J6Ga6QWK9OvC7ayn7FlQA2r1crf5/ohFbNTSfA3M2P5MplMXYdAXQjBcc/sCnAkmTgBRocD120il8daXC1wHfhcSwwyUNCR0Q/Ls1nvc6QGkgUdMzdi5FlFB3XHHu/FrJg+YD54FgNf4u92uxWKFDibuSeFeUKggBVdwDmEpQ4QNOzE3A6sgWp/5mqkTGPMZ4qPhNqZ5zcu+e25K1OUlInbzNxacQvOpa2HPDebDQS9m/oOE9jRMCobMuMPsJGVXMgQQh5GUAXfHyjmxbBKJdezxD6EPgLzOY9935ukVMd0x3Hc7Xa5hG+YcVwra51VAFT9S08jQglpMYW06ANXn1YcCCHVDgwitNTQErOMmUkMPAcf/1kpo8UuckcU6iiGCI9LyGPSpVQzw+ScnaBy+753mQot4bDuui4NJyHWtRJ+djGsFE6DsQAqZGklJOCZyWEhay1QGqKBGH58fHRV4NLWadoopaXFpPSnuvXKLXZfOH7NdfgJb3cda8V2A/XsdjstkQ6P4O52u81mc3t7i+kBsFJCP8xvRqkoXYg5Nh9AkSklRH8Bip+XAjAHAsWwQwkDCYlvrX1MZjn92egvkxPEd4xxs9k4/zw9PblP5EO5Qnp6enK44UuuQhBKjDZkr0V9umrUIjr9wf3xBDUGhDIe/YKpHikzyx+aTBOs+/V6PYxHllyppFkbGxkTMAovYAnb7dY9SseRs9LxeGwwApm7xDJugOjJJeiLR1iRTLKYJPg8jtfLNAygqi4IMC6Wl8aJXJg3YoycSGIUuqb1cRBAceZpFjaNGJTNHNeubi17EgQc7q9wV5N1QiixdECQ61k8Gufa3kWYoyHXAS1gcTyelJx5KRzb5KSk8GS/WYOdAAS38JGnczHkAPGwCJgBA8KWEYqhsOskRao6M3iQPlNpw3SN5jLXWW673TY6TeooWOx7FDEZlXigHiqVyoiJq4NFqp8CQSPqnEvU1v/JIRK+oPOFXE6hDAv4H3N2405KHtAh4yVRx+PRXwqQppT8figJK1Ue6/XaiSGXgCPnTEGHU/I7G6Kh8DJgqRmFrvBefAmd6rNFiHeq4Yix68I4jv0qujLzZJm/zgkVxAZhkVMV1IM1gKyLh/kwtyb3x0YfJICRYjZyogHhruvW6/XxeAT7qKoH3ZOcibJ1WDwEJBYAq55fo10EKeDFHM1VspaVrE0GkIhsNptmtRNvFI2LwL6ra/YUAMeGXgEXIJiZE8xstWP53DwzuRuYKst4FklMuD4r+E1KfsSSwbbbLQspgN3VDsAIXLhCxny05CwavGIVboo6tSlFzfmNRjbL2S8xq1yKTWDJZhuR5XURA1I2qiKBBPGcSDMH0EAzB6GwYCNisBYlHaBFhwm5uniEP+OlnD0BPYsIjFYp7oNLZxtnS01JK7i2azKDjIslqQd2tMurrSRDsQQpiXDmL4DC6QErBcFAs2bKzbE8UvLlmYwZ2sxTuIBcvAJ0mHPuVn3DF+JShhkJ72BsBUp9gVyWXAcgYrVSV8cxYSEe4Y+gEJNvC+QZAkxsM3dddzgcGjoGIiE+ILZiSaPkujSOiaCBMkOGPyDMZBQLbDiEL0yPZ6vF1ktUfCjFolaS9Q0ceCb+LEYAY/g9fehhAUkRE0vSwZhLc5ehhKmCkSxPEIDxAhrI5FqCuGUhyKwWZ4BPgws8gsexFqGwiNs1eZH9YUOJ18tBN6P6EYRI/Y2QKVlHpQszd4/M6vI8LS42sGaLi1c9sV5dpQJXACMsAdIQj5YwDUYAoFIp81uifjkZoUgCG9RCfM1L5vCokr5/Ni6D4kjMZpJbmhgrQBuUGMRBQzfNPxG2wAgTNGMl+EDZUou/XJILTItKrgrTK8DdyAW8wu3SRspMo52b/EwQZFb4ryyFQRPscPHEtLiiS8ZDygY45nuYM420nxBrlTUoz6GBpJFp49/nmogZ0UYqBLGJmOasSkNbYA9kgnmeLKr4QUC7YUJ8A5gjx8T1LK7bMU8j3cvcxQqsWaxfrv8zZULxq5XwMCPavRv4yBArZ9MjgBjm6cNObpFU0JYFBTK+uH4Ha4TZzkFfR4TX3ENkYHAeU+pLSdvxHEIplIX7HGM8DCcgFBPrWOcvwbFcGL+Y+VapilfIwG6GAm2h/LHhRi92trK7BIoar9Na+ijJb3/FZLmV6kwoWCuBSSAVP4EQcx3TEmKeBjLgpeYK5WYA5KzhgDE5SMwDcu4DTxm5tI1PuhQHE2OnicKatEWD3FmELZZvtS+D+YMNjPwXJr6lmJBa+PIE+EUMsYayWUyAlqCoMTc2cMB7mfJcWqxvz0JoXfnJhiEbQTnnTtv6FP98OBysVlHQhfwl48sdTy3BgZTS6XTsui52U8wV+VkEVhobXBZ1YVKnQfE5lKgt55IAQCnliw2LCRWUAmJa4pIMNEHNemXqTVfX4BsX3PhGUwWd0weYKxMiG4eZQndLIjASn2B+pnsf31GOGkd+PFGNeSDnHBBpaBQw0mINuiDDxSCbeJWkRsMnjeDgtzQ38E8AAh7h5UN/QkAvl8xPgZp5R4+RQRdsCrqjgE1KJLh5yzRJMrNBG57pZMU+vyUPHlWFKA+UMcG08aLNZsMjMLgwZ4TtM1XiLQELumosLKvlOIfDGaSMGqZSxvLye7DDEqdCLhhmyL8ykesirkTraov3I5UL4L34wKIBNiYIiR9BgKb5vlkjxmeIMXsuWQAY9EgIvvFpd2fhqJTB4veZmQZVUqTAcSoVa0qOWS5xqUDuekMNRgE2VR1LloSNjoZKOIKIVS0FGaJT8L1Z9OJOo73RqZQnEVmfETFaxy/4Vx52BhrZX/in3wObhQ17K575WdJn4sCwoOx2SqLr9Trn7OFkVx7H49FqhwU0ZHWgGrTCdT3g3pTSaTh25QpUo7SUAkryfUnW0LH8q5EKxAcoatZ2VkJ10Mmh9uu1LjiAUPNp40vQoRTxBAMNKAMQmM1Wq5XVUoxVaV5kylzQ+1N4tZduisxWIcbBsEKSBdyq5C4BoTD2cUMqZbGM3AbOPGchqcoEZnUenelQY5Vd8UdmKaOUClmyN4LnFs4YCEbSmsHR0CUjiSkS44AUVBUFrIH2+EgJ+mrZzIbcJAMIy+bOEh793e/3TUBrHMfT6YS6j4YcVVTVB8+qQSSrdiL+xiwS6PswiaWansIzHhPWm4tgZSMW2YeGGs5+6asAwDsNEkOnXnqbUf+KwZGsRUZ2pv66dkFR802SAvBR1ePJuq7bbDZIyiTa4EpYTiF0Ih6XyWZqlhx6IUQRr81NZlHENZOIRJFcIB8LhJNZMEsiGqNbrMlHU51aOoAAOCYC3Qa8O9C86QGjBhZurmsRkLCHmAPwXYfz/Q2aGFNaPBRsJfGSkRjjarU2s5QHaMdIu2eYbDB412GPYnLw59ylNPT9GptJQuhVLefKOtNa851l6kKiTsMmog5tkRxj78LT8aJqjs2UZr4QCaqmGiYV5IUDUraE51Le4lgBFLbbrViXc/bMDs9ps9n4FlgXDW6bxVJHw/Y54MXiAOjxfLvPwcvwtLg/PppX+qMi+fD4FGo3XlW7EHLOu/Xm+uJSitYVETVZxWnngapKyqfhkFNaxS6KhthZiCLe3yPFELquVzXRbNmyJctZg4mEEFU1iIplNVHLks3ETMQkTZMIqkGDmUk2s9z3vY1JTLpuKi5IOYcQ9uOIusdQ6t+bUC5LbVMpY072Th/iat2xuLGUVSR0MXZdCOIxxaurKyuVxP7G3W7nZg775Ou+H0s5z7rvVdULZiRnybkLoQvheDwenp7MrO/7y+3lKq5stDGNIjmEoCI5W4waxKKKqGbRbCKWLWWx0PUhhs5ExyGnnCRbiDIeDzFY7DuTlFO2lKLE2IVk5s0lYtSyfXc8nQ7r9dYljqrFqCLBLA1D9o2sSACDkkOposL+SQ7HgKWtlAi54PD8tEd2nQK7OJm6cF3Plquwns91ekTIuF6yvZZMTa43ZLOgVzKXQpRxHMchi+YQuhCjZck2phRClBCCaB7Hk0myrEVuTGagrx3VW1qKoXLJGDrYNZhItknnZpWgQXIeNZhq0ODx6mzZTJJa0GAq6t+IZhXpmDlZaqA+BeJmmlZqZQRcdJY7+AAINjI41HUrAF8aKwaDEtDaostle0VH21hYXTfKH29B/ZWSoREo3lmvIouoiImamJgkMTVJZlHcwFEHrlt8bk1URRmy0Gmp9KmxYpdmyl/g/lT3mpjRFNvxs+VJbKVkKYcQ3HBTVUs5dj0Sf0BoztlriyHHYX2g2tX9zVg2BMkiKmTF6fAoZoyx6wK6do3jSbELRpKIaDARHcbTmET1yI5zzlnCKElEKOOmSSfl6beEnJ0mXWnlYuyom5aqUz6QTTNglkW51uZq81dKCMPIUXKuizGmYeQ78dmZkwkeTmioc+3+0zAMJ2oYpsVzX61W3idLydrFZ7yUGVBVQxQzFweqwYKFlL3G3VQ0RBGJEkVExmFaHWJzVkLRCFST2nbgS7ZR82QQhGCqKpP/NOZUnMEgMXTH4zFqDNFUgqnlLCapA4kzZ4L0Ie/Ryw6FLVqbIez7sLfGMpufwt8GXowncGYuOSP2nvyK3bzZROpSOpYmYFSOYja0yMxcc3JFiCwUMA2hC8PiLbgH4hjrOg0nK4puOQFAxq+ccyxSBoOoTEuAj+Pd2Pz+/fG43++93D6WreEi8vT0tN/vE1XEelzAo7PwW2EIoA4ll2YIoBAr+0hcR2IV0ASemgW7Yp5QmGgxhbUDhg0ZaHlNgwLABJBkquBvQh3FPKsdmbB1oVDP4ppFDBCNBI1fuAemPcPBzHwvspGLmilMxpERhk9zNXNrvlyvp84YUGOOXzd4m0cY+PzeEII32dNaQ2NMrNcf73gZDCBeCRDDJkCoO7/BfW2wzpPAh1yXqzYTYJSzyGPlswSlkSLi97Is48GZoIFCqaWtyCxlllPiYeclSNWPDi/iJeAtKSVs9faLIc8REH/jDMyyGowffUNTnBp97fd7f+R//fkvd3d3Hz58OJ1Oq9Vqu926oPnw4cPj46OIXF5eenSg7/vLy8svvvhivV77nqlAFQBoeZNKQbqUKGATgrUSjWYgAPLgKK0jPkKEx8YIx1aAoEgGbHOBMkFR/pSrbqWAF5z65SBCtb9Wsub+zz7M3Sf4r9W7Q5G1dNfeZ8ViCw5aLS/iOI7ZxkSFhUZhYKNKEaVyrUCZ7LPCBZJis10xsyA5AyYCoaqqU6vWkssx7g0JfXOGlkifr5cH9Il1oAz+YKVcJdSB5XEcu26Dl4FVkPlnUmDubbQEgIW1LSGy/Kwl82VkKPG0WdW4D89w54Uw1M5+Lm93Y6Q19KSuc2GwpvGMOLPiKIGmtXglTa2q1bl2OSdVRUQD+ZLZROR4PG42m/Vm9fT09MMPP3z33Xd3d3fDMPzhn/7otkzOebVaOdHnnB8eHoZhWK1WFxcXqurtaW9ubh4fH3e73c3NzfX19W63wwbO6+tr39qGPICQJwvFS3KnCoJiFaiTyqUeRCn76zDkSAcESmOBgsCWFNIgXUqVfSgddqUUnTa+6vIy8lx4vRUuFj9hPoHixPgJCiOWvtRjadIcY0gpuenXkFygJBe/VMgLZjg8N1srOom/zNQ4GcVHXdepxpSS0z9DVSl45IBlUahUOutAmJuwMKEL5fYTbQNNKalU9RrgbStmdpOH1oUXANsEhMIAFa2MKVAV1CNLYqW8GKbBkMU6Gf14NQQl/1Tj0qlkhi/Gae6f4UtE28jWWO+XUSpHylSGC9AZuVd4afD3yjwZ/78Lke1m61LmD3/4wzfffHM4HL7/8Z2VLOk4jo+Pj4fD4XA4bLdbn/N+vx/H0VXT6XS6v79frVaXl5evXr168+bNmzdvXr58udvtPPnt/o7H7DxSGEryRUq0tfhBZ7ROKDkgmNNadnty51BQcM5ZF06KXyFUnqPUPC8kj0AYYDAlpc0eE1POspLAV2q5ijny/QCFUqqUC/yUKrCNdi2kuWdrxNNSC2irXW85x1n+z1g6h4LtQVFSMjkQryz1/HHmoxDmVCPe4s/udjufttdhuZPuJOQDQndOG9uZoIFpTJotNKGdHcABswfY3hfG7GGk97i4hvnczGRRyOT3oFM0YDG9um6A1Mwq0W4uow1TvEaWelILmkZsaW1qgp6Y1pkjGG2gOVQ2+4C73Q6Bdr656SSgxXZLUwlvxQAi4q22h2G4vb39/vvvv/vuu59++gnhWxTOQYFfX18j0+HxGp/Djz/+6DR3dXX18ccff/755x9//PHl5eX19bV7WwijZoqkaAle8tZzzBBvYQGqFPVjzsE9jqyxNjcaHEktyoVCLfyUFT3qXkwoZVNd1+33++Zm/HOpaEMIjenDb28EXKh9Sa1r0CD+MgVAJ+zHNtzDyqZxMHMdJZRaJ/EHLZqgwVrjtDKszCTnHHTmIMTmmMeZFDEys/8sZfAVNDwYFUhV1b7r2RbC494ZINSB9OXsl5+l5kYPiDdOaShN9oWqY8syFpERMrIwAYaRkSkhJPUa8sWoUjaz81NQRAtB2QaGc0mUOr2iQ7gvod+s0WEDC7d6Jz4Wpaqn0XMH7aaS7Xabc364u//222+///77h4eHEMJms9lYpeq7cvpHrOtr0ULh5cuX+/1+v9/f39+b2el0+vHHH1er1d/+7d++fPny5cuXngPO1FUe5UsuQztqRgelFag2xzvmYMnuM3rUWUh2TEKh9IjBULjk+WtJb1abipnCiEoJULwddYbs0YjIpl81/AJUYmQoBivqBPdEKlXPdSctM8t5TClZ3QgBzkHzXtZ5y4V31HQZEBAR1bYm3u/Btm9+r4sUKdBmGWRlKwmK8lGEhZdCAkyFjw5TDISKA+Zwl7joh8LUYCXABtqF0FFVaO9c+s67Ba5kmwhKdVRwjg9wzLYf+HDC5WKvii/S4zLMP6rqXdQQYAetu+EgpU+PzHpMHx8fXbcYNVtButcoWjZdOs0Z3/vN3v9FSn3q8XjsSr9IzBClCu7CIIvs2J46Eq1XUMilBGN03l6tVofD4bvvvvv222891rtarTTOxQpcImFm3nXw4eEBhU4uVjz0e3d39+OPP/70008epHz37t0vfvGLL7/88qOPPkK98na79e7rbg1tNtPBQ746kIfYHFKBBd5YoGPp8g1c73a7i4uLp8MBaPIKOrfSWX9A6IC9pZhCWLv3msulfBHVK43NiMdPp5MTpFO1U87hcED0t1EAII9ALiQwJWU7pZSyUtCD1N5Z13Ver4XJgzv8kViatKHIJdOWVDzF4AWgRMTK6zxChzGRZ4SGHoZB1VBqwC0ycukQKrQlVVXRh0hqhT23ZdY5GDF7rWf1BpDBAyFip7QB3KkWZU5WQsVWNi6yQegDZhXUB7IUw2qtGJ/4NVBAG3/5AxYFuIRSqQGsNFRbnrWu60ymYlZHjFCubUnlgEAgTwrTZo03+Z5htr9cuLvEx/igRSXTqdLpqiGEx8fHlNLDw4MnjzI6h3ez8PXYJ+b2+PjoAeCbmxtV9ePcQonk7XY7nFV2PB7/4R/+4d27dx8+fPj000+vr6+vrq5evXp1c3OTaYdhLo3yU0rDcATAHQJOCbBDnQOhEuel1WQGD91HgNPxXG6IkcLA573ITKWc65S6piHXl5A0bNDdzNnIywbq+UuIFYxQkCuq2iQQYXBxTgok+jNAOHthkFj63mNAIxun0Ko4/cuitSDTZ6atDFJHrHzYufOD1RbmWCzVxa/VpLV2T5j0nYzcHcAI8HpAJaCkCdxdBMvBEMCzMNUgdNgfYTbmU6yMzDwtMhEbZ2B3sOoo6LQQwpimlCcnBbB8JkpVHYcqsM32s5SyNytp1JTSOM4n6gWKX2DmLBxZruAVDg2I5s1m452xHPg3L18FirW5KPFGgh8+fBiG4fr6eiiXqt7c3PgbY9nJ4aGWruuOx+Of//zn7777zs2KTz/99NNPP/31r3+93W69hhia8HQ6dd3cQN7ZBnCDDEUQFH2gedVMY/A387mYiy58ByyZA3MNO/mE0Z+IqU5VYWuja4yDwgtqmZ2MroabGu0VKC3LUlJn/eEu8+yhg1EzNQkCRYVzrdr/3YvFEwsszBngCkFDCNkm+0CoUADLzCXaxejgdYnX/jJocPHpVjUQq3Viorbwe8fSQFNIWuMnyFSeTQgBjJvqxivwy0BD/kacXNGwJQQHzCW2iTATAMg5E28poG+D35BrOK2NeVhExrHaeot3YRWglaJjB8Y95swWL09pScr+k9spr169+vLLL/f7/Z///OcPHz6M43h/fy8iXinj4WGXR09PT34cWoxxv9+fTqf1en11deUpJxjAq9VqvV5fXFw8Pj56Gc7j46PTxn6/9/S5h4eHYTidsoj0fT8Mw2q1nUlNK5+6AQv8OJYyQCVnsoHBWB9AyHAA3htOQJBFawviLP07dhzF7OLxi/jVy0GWDMULgRuF24h+RtFqwyrmE+sTTQNFeZbXc9JnnOJ6E1NDCsNzhMr3Cft8mmFBpbzMJTwBq1nKWH2x7OcHslXrDxTuxdRBEEaOlRSlBBOUMQeBOhYFiGJEcDj+Yvycc9/1kMR4OyRuJb+KK4swB2AKJYxxyrNmZrGLnFsN5dQXJacML1qtesijRP0opbZrENo4pTm66eNgOcwPUtTImJOZ75kqefoiZXLOm83ml7/8pYdvfZx+vbm7u3PRgLhsjNEjLFdXV8fj8eHhwSMUXdf9t//232AynE6nh4eH3W53dXWlqi5xVNXPjXl4ePjmm29SSvv9/vPPP++6LuepJuXi4iKl+eTTso10MiEhqdGBidlMam5XqsGzWmMtLx9YaxMg5znMARTgjX3ppt7g0aEBhYEPatUEmOSkFjr8FiHBhAeFmLZ86eLYlnf+/+vKtBuWrfuGc8EIp9PJ+90Eir6HckSyEFfCw1jKjbZXHnDAu3UreFllfeD7rnTNAn04wSF2nejoiUacA+JKId5Uzuf2R/C4UF8bqc0/IxMGx56lctib1YWq/gigk+rWZ2VWHjWI0MBadpqlRQMt/7tebXwC3LSNcSkkd0TE+VbJ1/OfeB8Nv8VIKwgJINSq7na7zz//PKV0e3sbY7x/fHK7ZhgGT0hfXV3tdrv//J//86tXry4vL9Ef43A43N3duRBxO/THH3/85ptv3r179/Dw8OLFC99/gID6w8PDu3fvvvrqq9PpdHl5+dlnn3XdVksieSgnIOecs42As9LFeS5eFFNjqj1iq3fMnX2KyRg3N0+xNOERGJsgsGooq+RFIxz5gz8Vqd8NfmKDrn67ePS3kWI8N56hnrMdnoMJrlh3wAmUP2kuR02UueAAhNrIkUB9+ZZg6ZjVjTVknUXCWKGOXTPbWLGKM7UjwpjAGZQDgwlvsTDn4XMd2QZ0pIjkWFeaMxoAKUT++ddApT3+LGwrrAX2ORQgwNeYr2B1VcXZCRCXeBYjgFtSOQdHitL2S8s+Rlmo7unLMJOXv2iKGQ3jOI43Nzf/6T/9p9vb29vb27/8v//rw8NDjPHjjz/+8ssvv/jii9evX19cXDhgMVUzOx6P19fXv/rVr9zwOZ1OX3/99W63++6773LOt7e32+3WoxWr1Wq324UQ7u7u3r9//2//9m83NzfH43GzWYUQbm5uXr9+7ZgRL94bTyLi3SHGcnKOFt3D/MAr9X9myr8AaxzXYNhKXYHJxAkV3bxCFqEEv7hKEPNU1WCzxmKGX07GJ4AgFJsJjcdH752DBg1fYBpK1m6ui4n+gxd40MiKbxgZw3ZdF2P1uq70z4apjs8MfyHJNbfwUSqoY+GND/590Oo8YJZEgCbqCxDXhGMSSw8HGCmsykTE6TguKqClaOxEO4xZ1QNGPizCzNwO3shmZlQJbc4GKeO92D/RlSPEcqmVTFSj6M8+HR5QyM/011C5T2wYhnXcYgSrrTmIY2EuElVVr5Dm+z1Gm1J6enrabrevXr0ax/Hrr79erVYvXrx4/fr1l19+6faLiKSUttut75Y0Mz+4Z7vdvnnzxgWKhyQuLy+7rvvoo49SSl999ZWqPj093d3drVYrL5xZr9effvrp09PTf/2v//UPf/jDer3+6KNXf/d3f3d9fb1eX4Ywye40moZJh+/3ey8SNTMvnFHKnljtOoFYgSCW2s+x0JI+WWrzpbUtwGKdTUu2nQc69B00o4tcFWYeY1TqvWKWQuhDEDNd9mFRnXau43EWW5B0LLa67tnW3WevnEezzkxzdhfShWlW7VSdnMRtaH/LarXSYCpxTKc0WogmFkIIXVypDjmJBkujiSSxtosgPnTM4czeXq/BUmDKBZRWW0tBIyVAoFR/mUukytuCuSOwXq/9XKRUOqpDorkN7zSBspRcDi1GmSxEw5ATJgDxETSMOWWVGONqu8k5e5uSEIPK3FQ10bF2h8MBx6fBW+m6+UBCvCKULs0xxvV6XSm6ELKmrDJazimLSree9kYfT0fMOcaoXex05QfxcebFtTR6bi01Q9d1mifqMxExQTXT+/fvfaOAxpAsX7+4+d/+r/+X1Wa9Xq83m42HV7bbtYuk4/EwDMecs2e3VW0cT+/fv9vtLjebzcXFRQjBj1X71a9+ZWZffPHFP//zP/+v//W/HHrv3r3r+36z2aQxj0O6f3z48Yd3qvru3bv9/vjNN9/8l//yX16/fr3dbn11283FdrOzrNfX10JBK5jMbOMomcbdxBuVKnJ8hZKCFBINZqhbrQKOgarg2E6HpxnocFvoSNcWrlem3YCxwzdKJ9U3VhJeNAxH59KUBzMJUbou9Kv49HgQzSrq/Vk0eE/GueOK1DaRkABdGoCAj8/NmddKBBD1NSmlEMW7ZJmkEDR2apbGdIohpzzknDSYUm2s65sQQtBOOxXJw5BSSuv11sVKGkeR0HfrEDoxMUvgRVWNMXRdnKUML0zqGAd/EIl2zsTNdQ4I7AHxATEkpe4AnAmvW1WtPiga+g3yiIUlFCAm3PBkgydWglpfHZ3jxWN2XWcyYzGXqDMoVWsjs8lD4ynP9YI0MT48Ly1engtZWFVWnQrW2ZjyQlFDV6P830X5er3+u7/7O6VAmA/lpOMGhR/P6J9V1Rt3mplbZC9evPC9CF6WlnP2UPHj4+P9/f3Dw8OqX282m1evXqWUjsfjOKSvvvrq22+/Xa1Wf/M3f/PZZ5/F2EsJfxwOB2SClSx/O+fLAPVLeoMyCxRfWJoqfEWqjlEKRmjxp7Te/Qz44wrlWKtQhwJTvUm9ZqKUs4pls9LaQoLqyU7RJImJaLIsqiamoomDPo3ybkQYg4WZSxf7NphraMxkZibZLPrnrg8h96o6jl4xIKaDqvZxSx5WNlMRy1lxaqPvhRRsSpBUYtgzl3Vcp8DMyV/CQZVz/e6YJsBFSv5zw/+hlEIC2fgglCG2Oq/cyBTAi/kZtIK1NDIu5xy07aIKSYf30uNz9G5JtbLITGdKb0ktZdx2Y3rN5djvWHb94BEuVsoU5FLVsbbMGUde+z9x+zi6wXh9fZ1Kf4lE7T/gwWGGPofj8SRly7KDxccRkfV6/cUXX/zwww9fffXVn//856enp9Vq1cXOTR5/xTAMT09Px+Px7//+77uu2263V1dXvvvJvbmuD7FUHgaKf4GZeVH4pqHaUMcOmGiXmGJ8NbS9fCPkTiNlgI5GPjbP8hvxa6Jso1CA5uw8G57C58Zx5nt4Jkp+N2DLfMHkzR9AybnUTDcQaO5PZTMAU6lZUjpCDjPsGkgBE40tihFHq1rP4BGceoUvfbquwzEtKfYqziFk3yqVbe+h5FlyXenXkBFIsFnYElsNKSxpmkUS3z8MA+oFlAI3QmKFBxGppoRXOJOzVvGLNyuwJA0Uk0NP4iWhMHb8L3YJuQ/iVZHozOZIjDHyvmpWhqBm7LeKMfqzL168uLm5efXqlZ8LGmN8eHg47I8uxbyR7Xa7PQ3H+/v7H3744Z//+Z9Xq9VvfvObN29eSwkrgCKV/CMlNSOkPM5eiIMAF6y3n3uKB1/qUaUyJaYNHlZLBjeWzTc8eS7UpA9e1TZrApiuuPM5qm7m3NAzVhoo2s2P4x7oj4aJIKmd/DwCoPUm4Ti3VW4n/My0NQQVmevs/W/XgJVfLwvZL3UzOl5ew+F8hVK0zlzhGQctrlMojX5jmLuNSMklORbZEZPilzW2FcAUKDBcUUyuDCLANFMxi8zmWyWSmyWzaMAgOQtUh1EqFFImlNTYXPVUAAuo+ggwYbhREKQPwD4hsjSv8ygMYIX4Be70F/mR9R6BtuKOhRDGMfOEzcyz2rvd7nA4+I6Ev/mbv3nx4sVms/mf//N/3t3eQw1eXFxsNptwdLcrf/XVV7669Xqqi7m8vDSZyjQ49xfouKiGW5Zc5zdgIxh0VcG7nL1SuRhozL2APJuiTBvlTpNaVDm4PMkQKB7MBMb0o0WLyELQaN2JYrlqPM7T5seldpF4saA6KBJMI5bacfAdrpyzyKjq+kBUxQVGEZdzvMwPMc42NxjAW7pYlw9ixmPdJJFntkS8UN9TgI834ywlHwwH0KjPeyzlzDAsG6g1YwLTSmaRFaHWPJJzltrhwor4IlmWQwhSqzWwhxBpyiIQfnZk0AScLA/B2KIHWpNlA6xiqHrHAR3sBEHbcysGBiMsHczWI50xxsPhviuHhyjVE/o8t9ut99xerVZe5nexu7y/v7+7u/ONQqfTKXbh4uJiHE93d3d/+ctf1uv1atX96le/+uijjy4vL0/DwQ0rvBfvAriMtJHVSg6Ayv9esqm5/I0Ne+Mb9qcYU0AlvunimTYGkDgLsWXDMJi0nQmYFxoZISRQ+JFcx0/xFCzEQEEuWUglfl2j76XEudgsymi+Y23kS0uEIVMTmcnDjDIckq+D31v5xhgC02XBUf4pPGMsCS/TOkDTbPkxukIpMGlEUip7moWke6S98Hg1r78hC34LKMDMWNQZeUlNDWgZxCn+DLYwfyaFGGOWqswJ4wPOUl+2MIbxLGw6Z2AGIE9VyfiCxgbuDocD4jUYWVWRU2Ogne10E8q+Hm9n5aZN13W//OUvX7169flnX3z77bd//etff/jhh7u7u/v7+93F9sWLF/u9XF5eHg6HP//5z943b7fb7XY7ocCEfwBO+W/jCPDa/VkcQtCQ7nNipzGdmJYC9VRvJDWLOb+izsjFnbHeLkODW845ROX8hoMUx1Qs6QHIxVukbgDML8J+K/YAABBwjRR/rcm+4QPoP5Y9334NpwRQ4Obmoi8rEwmPzN0eICYAO/BADfT5IFS+YKIz9WDZjFT/0JVzOVlthhA6nSvZGiXDDGZ15KKWg9Z8xttzif42Y7ost5pCXaSO46hhLsHC2jNlixDbizEmO98nlHMQuYQDc84eB8VMIpUmu313Op0Oh8M4jl56m8e2X7JfTrUMEI8ro2eakD604nVDNmnJzvp2J8dgogN/PXyLnQp+ykrXdZv19vr6+sWLFz/88MO//uu//vWvf/XS4Rjjq1ev7u/vv//+e7P09u3bX/ziF7vdLnZthZT/s7EmGlww6/r9vu8M/wzlOle2MuOLKc3IO45lH6yQ6PGXZmqUE0KwNOcTHIboBALY0ocpm4uQh5bkN7cZMtI0oNiG2iFl2B2Tki3hDbc8PaZYXzW6uDUMBaINdSYkjU/M2gBmqrcZTnQu05KVAm2G7uKxFONzjBYjWmnUoKp+QBqoE0BJtCEokGOvix2lIIvHx0cz22w2HiPwfXraRR4Hyoo/SLFxctlRnWj7gpbsr5InBXKMca61QWMXVOhYCQGCbmKM3u2ZScT92IZb/KUpKYffIWXACX4ziri4XiNTSxSXEf5Sz0n7VPswnXXVlaPs4P6EEtsyM9/bgT4vqRxc79udvNfJWI4uqhZLCREAxJ+F+h2G4f7+3l0nleAxmhcvXhwOh2+//XZMw2aziVFvb2/LnqZ0f3///v37jz/+2Lv5efGO97XZbDY+Z3S9Qe1lCCGXDVZGZ/i5jewzRBreb+j7rU9YS7bb65i3263U6j1TDhSxcC59ErIapDhrUWZRpaUAwoHDw+ZpE/8UckqlgXwsh3NDqzHPCwWGQDypbDhyyKBG1Glvs9mgX8fT05NDI9U70UF1aNUkdQsIZ0DWyuCv7W49DMNpODg80clgmPteu0DMYxpttNWqZ+Hu65qkjJEBwhIdq8VjHrXt6NxVowsTZdZq9BI/CCmIqISdC+JIFSuZZy+l5wvrOgjyxtLzb3AWJaRhV85ggeLCU44Dr5fBGxMVHy8vnifkNZ7lyfgHr09ZXlZfDBAWVUCc0WYIngBLdim01ZhmmcJe4zjpamY5KAmsBUmrvls58fV9/9lnn3377bffff/thw8f+j56d+H1eh2CmJnv5+76quWdFLaERYBkKsRcqjdSS+1WaO07s+jPVMCNp1I5pHgWZBSuAqYaJArCrsUpyBRYRPmFlL3+RUdOmRclUwWXkIjBr81sMSWeBss+oS0m9N42yMVvacgsU4cgq1OcuZxT3lgVVruHbEBx/x28YrbVc+1rMEEbiduO9kAzjhGtzORpax0zN7LiONgJgo4xIlMOvDLQefaMOX4F38kLDiXVJSQEWRhpHRibB9d2d0zD9nwxxHkCDAemEmDl7CWkNvlx1sDL5SvZ2+y+Zeo2FBf7gM7CE1dTazObXVlExCtiPv/889vb25THH3/88XQ6pJTc/1K14/HoEWKTufoRMstKVAs2Nehbym6MJUFDT8DI1ZKza6QGgMByB2+BlGHmh8HbUJEWEOERiHjgK85bk11xzk4QCK8BtZHcbCDPxNCQN2Oc74HpcHZAphaRKq4MUZApnhjKzh4uueIRmNe8s0Qzw9mfbPy9s1O3etc1wwVWK6NcSzvO5WoD9RZJpb9RoBiNEANI2eMb6ktV9/s9+JCNF36Wr0zX2VVLTW0el3EGYEI5y4oigh1GLGXOYjpTVBss1MgXqesaVNXGSUywoGTEs/hg2u3ouHspRg1uINDNISRMycxwCiUQ5/c4XlyLXl9f//KXv3x4vD8cDh8+/IRVD8Pw008/XV9fn06nfhU9cMsYx2jYwY/ILuMlUIBpBki58E+pZb1SAo6pgskSL4I8ggHFRKWqQuOzCyznJMX0Rp1FDM/qLPnAdsAbA3VWhAMF07sZEPdw3JdlGYZtQIF9hQ3Z5FJ7IRTrgNXM4gyExMvx0arQI/+MTCeDw6lMFtzLy/h57sK7GJpGVrHVJtKzzExTAvgYiIn28p6dAC6oRCAJOtbBGkNl/gHWZ+fDI/Mkl2Fsv5a5LS0ZSv8etXyhDqWzmlXaC4q3wBIWOmMsUbu5BuAFDgksJJQ0RGW91Xp+OE0xAs+F39zceLGvZ9B9CeM4+r6nd+/ebXef7XY7T3aEkp3pSv/AVLpnoRlopGYCAFGkRhAM5yX3ApWgE8AwUADYFoktoyJgfjWUSChRUlZajHEASrVyf6Rw9ZKMmQz4e+SGEKPBJGN9bNtyBFt4TMvbsFihgEnxM8YQnHot56AqXRf7vmsiHngdx5twzcl/VhRWyzmWf77pkf3/yn6usSgkBfCT39/YPkwBUscy/C/SrlKiBr42D4vaOWHE82cGxkpBW6EOHlUA6roQq0N8PPgK6dBc2dq6BjlH/XwPvxRfIpc/lt7aDqie6mW41imUwjYtwW+IS4ghtuAwgWaejAWGCdbr0UdYrLAivUCOY5wpJc9wrVar9+/ff/3113/961/ffvImliNTY91510q2DnvfU0pd3UEZc8YrGL85Zy9nB2aNjGsM0qgfq/WBf4Bub6SMHx2Nb3I5KRzcRXcWhNbglVqmNB/YFeDpNZ4404DVgbawqDBecgdPUih7YxQkldowCaW201GstV1vJML4jf7PyYrOlK4DsqVEvK2Wgn5/wzns3TFWGI4sZUbq8s9k7RvLlxSw5FKmJKlJkJGk9cUgxjL5++ZON4p5wPBMPHuJRUZkruMyTFXNHBjysiCsWFpPgAFyibakevs45t9QfyxtqPgitXGmYt3noIsaOb4tlj7NV1dXn3zyye3tez+Ke7Va7Xabruv2+/3t7a2ff8SGklMC2kGgIBOv5mVayTG5z8UxkTz16+ldPMGtziUlb7V2BD/kujLoLEJnnUdz8wuSTmqjQERsavnWur2Nn8602thEUqsEq9O1mFuuN/EAX8tVYCipC00Q42tUUeO7MT2A76z2IXhF/niXRsuWchLvHCGa02gpp6CdSRYLWbJKFM1iQWU6xsSo4EJrs6WR/Q3UMD+Yx1AafNsSQIxa/tC0FgZtsQThK6f2CGe/lj7/jHU6MgAJqZ8RNLqIEBkVvDW/ppRUTTXyX685DkFUY84jdilZ3cEAS2Apw/pnWnK9ZdTtDrTdYQ1mZqvVBngENt30AGyx0VFEhtN0FKynmbz3sIj89NOP33777e3trZldXV2s12ufpFcYCnmRbhx55l7L2R2IMrLy5zRzKFF8IWG61MbgHF5p4ysBnpnCQCCDTAk4EZGUcx5D6FTRO6aX6bje7BANIYhklyqi2efLHN7giP9Gqvlm6QNqBEa0hBoQ4UIdOTZbnb0YpGc/MKFaOeWmoZbnfJdxHC1oFMXfYNplDSbRggxpFEkiWTVq7PMkhkNOY86jfx9C6KiFInjPzhVuT2CNYZaQ0+Z3k6ApZ43hNAwP+6cQwna7jTEex2Gz2Sh12PViCrS2QvUREwdXpng4wB8cy8E9kYpEc87lDF5R1RCDhGBBR8tpTKj6GQcXjpZzjqpSeBueWjxXky4iOWXMEIkzmPdKRRx56gSoIl5ebCIZpk8IYubuQ/DEiIiGoPCkwDAhBOdhr3rwgJon7H3/USrnlmnpN+ycDM50nvSgrIik5GeSRhG3F/y4pTmOEEJIyXxXZtd1j4+Pfga7D3t9fd113e9+9zsvh4kx+i7t7Xa73W779XrMuRMx1YenJzMbcw5ddyzFOOoJAbOgGvv+cDjg8FzYO2M5e6eR5r60GKPX7KGFUEf9WIGaXGpqOBgECeUlLQSTKSCSx1PsNATRYCkN3nSqX8XT8dSvokpIeTidUoiiEjWY6tS2xufshRcuBViOgJYy1VWxuFyv1w5eX8t+v7fivHTlWGH4/nz+JxgEShQxUN/g2nUdmkmBoeYRVDRo1vmATTEbh6ltiwbVUuaaRczykJOIJhMxzRpUg2jwPdlB1UqfCH/GST+WbzIMaSHlCaptLMD6zlnbyCLFA2Qnam3XiHMAnVkL72osOkg9KZqhceVYkDPcMSaunLOVIIvRhW+wTB4N+plVFgouJ3zknKdkgYdITSbJl0TUP6v6/e6ZemYjiyjOkJDaToTowZRC2XsNcaxkq8OyNcp8WwnoAFCJCi+tjmj4G3Oa9md6PSs4Aecf+Oy8omwYhqn2kuJEwK/Wly8k1GfmeKzHpadS4swnH2N0egFGlrSR6xyokNVmc7x27jcEJLqFonGjYXo85cFKuZgGLZGAUVU1dKIJAwLgoZRu8NyAOKtNVP4nckxARKAzDMApIHImV7bRGt8NF2MBIM0554kO56iwUbE7Y8rfFTpy5VRUJEs5jwl3N2sTYk6t7RQjh3ZpnoGyG34r3JVhGmAosF9Xev3GxYEYuLBCVNkJSZxEmzWEKiNY9WHMTCEArWUlsJLqTUBKhnTzN5TaXC0e5RTFpNo/KbVbUyRKzGrHnqcHLEy/1tAAfJiqlPbBQwlj7aHOEmLmPJrUQhmJZ1tsdtdytoGIHI/Hw+HQ9dGVoevJ0+mU0iAiwzD88MMPX9x/gdMpeLYYE+QOwRFLABiBZ18XHDe3WIup8my2RcnRwGc3lGBsjqX1Kit/Wm/oYvBTAFm6+QiJtqcytzOpLDm/kTKNgMCrmWUYUDhmk4mWR2sIqcEsQLREfaGWtkYJozVAtqWINMs5qUd/WSYZeSLLS1Vzmv2FQAGOs7xh9QY8I/8ftzFVaX12n5S4VCrnWLOUYZEByxD4QCQslz6eQuzHCIAqg4XFgJZnpBujlifc3IOn/AN4vtzmsqaqoQJjs9TACBxTYIA3yOa/y5ulJkpEDWBmhkXgiWlXi9ORUhKbKilSaVXj93jKKdI+r2EYvv/+e98JlctxXTwTcA6DPZT0Kk6S8h3hLh1ynZGxc9EWLI3/KYXPeW96LlW8DECg2Ok05eRnLYJ6pY7autnVlabx8IyYXANtoD8rCJhEieHDc4UIUow+rTLoyvS5JGa+Gh8CSfokMzE085dzF/iLaeZMF6tGcDQ35NLHHATBS23I0eaATM51eD9SQTSUlY+GVCjf34C7eTveCEtvuSIGNARKLF2d5JwIi9OJKG2KV2tVwO8aywH1zAOh7FLLFEvy2OE4jqozkJtX2EIHAAIMc9yzBD72SeGGXHZvnkWc60YtCh95K66rMnZSQuD4Vwih66M7/Hne9xC92567VH6/N76KZQdwA0asgtNDCCgo1apVLJFSCPPZEjzakiusuIRCjsxIh7IzfECfKWXvasbUyHyhqh4/4ipkJTMKrCgLBbBkHyaAJnkP/AIgeEVY9F3CT2BGZgSm7WZW8DZAwFp7nULy0cjUZZaZz6Ju2JLJHagFxLGkRnw0kMIFEwYPAg04OMmK8+XfIMwZqTeKlk40sIC4QR8+sOBgkRFLAwS+lpim0XwhZ/h5KV8aqhDabYw5gDFKWHGK1S/n0KCDJQhfbAYG2pLDz/L3ICwoW6nrSlj34ictnmmmEM/0rM5BEPeSQpzW/vj46IfPhRA8Mu1SxrenYs8nGENq0rTicaNAQ4pRk3PGfBpT1PdMNTUKANQSxaG4tEr5Ad8Bz3AoGBTRKeOIEdiK4Uf8Ag8v/Q7ADRhkFC/RrRRnZKmBMdnLg+yWWhc2EMblTGekrSewdLNwZLJn3aALi0xrMd01S8Js8LelKhKZ7GLAQ+FX4n1woRtRpaU1Z6Z9ySwOsST0CYaUwRy07teNe8DSMCaVDj+APgGRGQUvCqDHRr40WGfkFS6dqxaVNrtrUXTw/LVEAUVmgJ8lPn7RspykmYCQZAkU71gyWEM6/k8XBzxzo01qGAojp3Euepog302dfY/Ho6eWYB2IiDfc8/l72ijUeWUQEugNAAmUFINw0eK+ySLxF+tjAnntuA0HVyidEqW1IckANDPVijtwgcDc7WJ7oblf/r2Lx5TJhkpQV1ZKhxNtl00pMfVy2RR/AMaf43clYZRzXsUeGGdZ1pDljLI0dUsvx72IupThlfNEl6QppDyh2aClmQ8bCg61r8vMwwwfQsD21pEaXDMHwpLCizACJEhXjrwANYPaGFK5FG7C4oilDUIdyWsRI7VQYFwiCqjFfknl6BWhaIuv7nQ6PFdp3lz4ni1eDChUPwmMACxLhmFyb75n9OHZXOojGiyHEI7jVEfj4i+lpEHM7PLy0qO/6/XaLHmCSVXRljiUo0jEmyvX78VbsNXAV60l++NNLTo60TRMNa+VVgiLuAkvysxcqoIq8JZUb3kpj1hOKZAPgpEh4hNt9WTA4v6GZpqFP4f6RDtmlDasYB+jkdnOy5SawVk0sPGFoDU4EcTsaxzpkCLwGo/mD276ldQyS1U7nMKN3xo6bkg8SkuUPsthGNbr6ayfRG07YikVZ7p3cvSNvGbmlX4Q0o38cvChdB1iuyttX+FOw2JCfU2MsWms7aUlnEr0GMGLFy98gYfDAQsvBzlPBjny7kgegZ5Qc3E8HgPF4RwaDhBwF1AVqdKnQRu3ELTSWkVoV6rVZg5X/Xngg2lOabOY1Mk7xrWStuAUOKiKszBCJ0n59Ha73fF4fP/+TlW/+uorf/B4PK7X/cPDw+3t7cuXL6+vr1HXw3IQA6IBrd/jbWjMzNNY/tmFl4d44F+X1QUR8WNeRMSPcwjnopXgDbenUM9ipZDEsQ+uyzmfTkfNFmUWXhBYDgSnUk/nxxi945e/yMV0ozhZEPisXICKiLdw9wZmXivAwEFRHPCOKYGLvQDSuTKX0hs2qL10y5l0v9/DCUUzoxACkppu9EGBcdc0FmH7/R7eBmDeKVl9TOXL+IVfELaNpESfZyxy+qmcSaB0gkpzG35qRCAzEt+stKVIyVzHnYEcVKYnOLF+J6vTecJ1yDmE4BBiXBoZL2A/mQyruZQZk2eXTckQcEloVgXtIftYTOB1bLXxWnjyS0T8/3BhsWxsAikR22e6kFI6HA6qul6vLy4uNIgHXzzENqm4zYYrZZyBIQtCCCgMc13Sle5cibr5aGlP6yIGiU6sPaVU0naC7d1CUQ+hph+5JIaVFHhXetyAjRkUHrAPYaYo/hWTZLwzseHXWHY/Yhz+oGRDOfA9iAlixpI5EsxkIKW3YWORMZkZuXJm5sfdeNgLyA0hJJlzykJSDEZ0s+TBjhzQ8Hvm3otsN4KqllegPhpKtoxVhuXskbosZDcHQkGor2X7lgXakLXhoRLVjAnxvJTdg4l2VUD2+wfQKJiBl1wvrar3zXXKhqGZc+66atcJJAVrPwKdC5HKim7E/ZKIm5uNlC08EbhmmRJGPMJzV6K9i5BZoTihDTAdj27IOCRXq9VpON7d3bn55voctu3hcHBqRiUrDoqCAIplyyWcFyZolteoCM0l8ZFzdlKC7cyEKlU9ZIalBvAGihA1YoK+mRCezwV68JRfQJPWdmWjPPjCS/2fAL6b2HgW8Gc25JW6EE91nVekhocsffAiF+t+j9s4FqSBIdMnA8o/5DhGDaXvrXqf8I4tH6j6vEhVNADVc45los3pEDRJqtoWWxgFDPRGnwsxVaQDqp0WjTSSEANL0fkc2cE8If6fM14Y2b6fKKVqG67UrafYusGLmmGx9oYcmVwaAY3KrgYUuc47Mkj5vUouki0UhlKcYolfXYT2AVj45/6icRyDagjh8vLSud3909vb21DaBvltx+PxdDp591WP1zg2h2HwD+gWbkUTpJROp9PV1ZUU2Zfrfm5K8lfJ3DAKhEfq75fLxVAKlI4EeF0sLg1JM1MNIm35YgNbJdUCk4rxC6pm2FqJDDD7SM1rjGU95wHgHkdTk5/lGWJ8Ji2Ie5llwplSVSOlJbXcUXOlWUm9DjonlorvhmGaK43Vvk8pqoAFRChFRyGE03CC6cHYjaVHGbBiJdq0BJksSgyANr6ZF4ywLquUWPesbKitIZRGNPBktPT3Y3rSSRSej+Q1dFMm0J4AwyR1VhB0Wt3MfwEZ+BqJuhktYXX2ajCiFISSurZtsgvysNls/HTzx8dHFOPlnPf7vZ/fpDodC/X27VvYg0pHOGNWLncYv7pozQMK4e/xT8QdpBg+uSRll2NKKQVSSj5qEdBsfSgsFA3oMcPgslqpgMB0zlcmyOhMJ+E0l88HtwGbWCxb6+H56jj3KMMiWCNE7bDKl8QfSrnJKc2euz4j74RSzHmxJ1v8pJRYzhXzrAqPsrxCEZ8sZUIIKBtHGI8FgdRSCTyJYa2o97HuUCmL8LvRlkWj+g4hgnMdAiBCnC+1k1BACy/ie1gqsSQdqXOFVs5Oa1P4leoKjjLmnCT2R1hANwAUis5i5EaWaclHwDVgj5rvbB7E5dQZqTcSLEfgToqNICLjYJjY6XTCnqa7u7unpyczW6/XOY8hhJubm9/+9rfX19funzobY7GNR4Zp45wvpq6GYJr8S+OqACCNwvDbnG4j1aH4DSN1ccNizWIQNal8KL+aMwkghcEpcw6unLfFJI0PIKpEm2+4IpkFDXJAPJlmDixVGxXOoPCsBQPKr6W51Eyb/wn6ZLElLmVCHarBIs9SYbfo9OcjGAVNzMwFVgihbCuZNTZsVNYbVhIuPGM8Ag5UMuYhX/HSBoiBQiGOJ6fvht+U9PYCcJ7PqrbSyaIDG0OcZ4LBYTmzmAMdqFYGDjDa/NOvPLQuWIO4Zp5KwaPl4MuLQSq1TBdiTvwaQ4SKdj38+PTw9ddff/fdd8Mw+CmXKVnf9zc3N69fv/ZDnaQUSYOvMm1rAEJdiGAyughyS3HiQFSwx2Fpur/GMGe2YS0i1NYHfCHkqY3jaKLYLYmnmGyseF4i4olU/l5L8JtFHn9wU469ChYWuA1a5Dk8Ik/kdhCkc677FkEosC9pVGmt3ZnjW7VoTZbaTKgMbfEdBqAkHGaq55x5v9D/FQhzfEAKOgF5laeq7q4umbUgZSCSILPhQkvNBkx5WpoGAWHwe2FeCvG2lLTfFMqaOsua93Dx7ebls+Kvmf8NTsN+fKcUuwapEMgyBlcIkrObJGPZ7D4JT1UHl6hGs5Sziqi3WVhKDa5prpczYdNna5ZylnJIVg4h5jyaiVkKoWtUyn/k8naZUH2IoIfa58XE+n7l2eUY43q9VtWffvrpD3/4w4cPH4RoPYTgCePNZhNLP00k+EIIj4+PjZrxMKQ/xQtxfoBfZpRqAXnkUu7gjjMSUhgcos2j0QgXABGBdoHjLcNw7EP087ka2ccfIGh4QCER4xUPUssX/8BhEZ6wEzALPl+yQ3jJ5J759mS/FP0HDEKU4LPvofcb0OQshDAU3w3fsJTBwicLVzTHqmDHX9FptnQa/AnnBUl5TKdQgvbgqMmC6Luc8zhvDNUklnKSGExsyGm0nMX6zTquesS0lSJVVh8aHcq5SFa2bLFxZCXtBSgDnS6t0mnIeUye4wghhmhm6TTknFdxqq+Jorv1JoSg2UKQnJOI9H0UcRmXVGUck6rnoQ2LzXncouOn6pxf8+iaHy/tesALdvp+GF0Kh64LLr9cBsbokiuNYxIJZsllXEc60ylRikfGzO+0oyLJRjGxrFNfsWAxRg0xaBjGYTgNsdP1eqOhG07pdDpstxeZzvn0lLOXz4d6j4jzLfDlF2DuR9aO9Q57x4vXv/hnd5pCCKjBizF6x7wXL170ff/i+jqPo5mtvYMJHFszKfNUVck5iKz7PnZdKp09UQ/lK9rv97l0ZcVyhmE+1wFue0dH7mG/AiJrDhOoMTbiYAUUhSp9iKJzkoRhhSz4ZrM5HA6IIXhgG0buOI7eHQYPgqTN7OLiAuVO+DLn/Pj46N0zoNojFQqEOhQgIvf3934bBD1HfKSk7Y2KWl3wcZODcRyji49lX5Rh4l+vLUgpWTaJYbVaz2JMREJQr5eRc1egIhR+QWG/yYllW5pRlSmKjC8BOCE7MNcBcHZlGZeo8mSYIofSDK6l4ohZYhJx3khLkr8nT/Gd4G5Lzo4Dz1trjD1bhkbGNiSglnOzdDpb0u/MZmI2jabqpocs/7IkxVqkTlcxdievMHiyQ1SD48dPQQ9RVNUkialo9n+CeWCk6Ly5oTVxcSycs2gsZye69OFKU5/zME6qaLvd+oNu2vhpZKrqQ223Wy29u2DqB0r/zaK29uxAriAYn0BY7BdlHOEpkGuiczI5m8v7faQIF4wAOVJRY9ktydBzFu3Ksd9YBUttIQX5nLODpFtjfbiICSVJAmMKcWKWSsywzKSZ8i18MQSa9Tahd1tkTvEr44jvkZ+RMlrXFGHqqfYY8Q6tPX//kjOC+B53NqqA7ynMP9OKH5aYyoagUGpDn3MJkMMTsvZTSqLVtBvSzHUAP4Qwnk5YKX8IVNSA+eT6/APGd/O4kpNl5Hgz20gt13iEpdROtBMHq+iox5gDoYlM4SfGHYAD6Dk1Q+nBjfLXeSDc9yt5nyoR8foOM/N/vnz58u3bty9fvrS6/oDF6xLCqpprTEnx4yAumzmbtek2JHewIRBSkls0MDE0ZMzfp5TcYwJdYVZCxTvABQgPFiXHU5tLiyC2RZTQTRKWPkKstyRRPRcElNrqOStfmvk0/+RxllDSRXbi35EyDaxlgezmQcBRaX+QiLhNIXVedgkmNpqaRTLT8lATJqhpq9TxPOhMDhPGVb/EMXNdw/zLO3HhV9BfSin2PRhJar5tIDwhoKRarT63d0n0WLvWlUGAP8dTjCxhpqpYb+oF5CFTfH+Qp4oQl/HCXCYgWKz+z+Px6Ca6B1O8iaozhjtZNzc3b9++ffPmDfAYSscPcCwTGObGgruhQyYY/OSFjj4s66pI1aSNhDrLAoAPXlR0VfLbG8kI76NZWijVoaybG5zyEkbqF2H1dj+kgJlCnlsFGAoyncmeqRH8tZQ+VverbhhnOQjLB8xfvPPD2SvR1lh+EohX8mBZgjSTwBr4rbKQJssL63QweaZNKazjuHQ/vFlqrqPi/IoYY2lzqVIDlGVfLvsDu2cCqFgdHF2fmNTn1S5x01ze6NvNNIbP2dfhw3N00zyuqjnPpiwmA3SwoDSyMsAnVvSwF5KyCePC8XRK6/XaW0y5P/X4+Hh3d9f3vR9NfX9/zxYoIg7Il/t7EZtbkgRLGSuKtJHajYTCDZBoeJG7t4ECfxiEbRP+zCSUs2mYtRre69V0Z3HNxpo9o2ykEOGSYPyfTNj4xuHGNMxPAaFs58rzbfrwaqstKV4+7g/U5b4RLkyQPoGfkzKNqzwBS+Z2bYF2Cfi+CaGADnJVDYc04OMPvPJA8Z1prnTQjxAhLoGLz5F2D6lqCCs5RweNOGAmzPVt+OweBNY1z22xV5Vh2FBPMwcYMkK6vbk/kK++nPnyS9BBLpsPoOQzxcWkmH6hRC68UCXTNuilmyMix+OTH4bttRs//fTTN998c3t7u17PQUTf1+qDjGnaueqLAhsgjrZclFKG3hbdAhsQpZRjvWVM66p8Kec9wYT8+TcyNYagEoJJtUEB04ByAmw9ms50KOd4Et8rFQTlqpnxbIVhOWd5ByODcpeqy4fl+UB4sR/kf5cz97WXjs4tKTKdzyJ4KYQYeTy/4p9XOQj8GuvudjzpBqBa6nGWHNKgDV86NbjOhxmldZGF1o4o11kA1jF2o1VFR43AxpcKnq9XpGTBhdKMFi431oVXW60wrbahRMS3+YiIJzhB/TwZBgj67IOMGhgy2M0shLmKBHfCks+LKCN0FAQQOzWxPjoOkQ5nhvfv3//hD3/4l3/5F8eL71ESkcvLyxcvXlxcXKzXazvOXc2X0Ph5kmBSxAhMqKqa0sgBETyO/kRCxWmRas0Zy4AeJomp5pyzJeCISTHRRv/G187nmpw2HOQXvHurW/yyFYmnIu2NaOaMkGhfXHhMozGEmzksWZvBwiwjCxHTiAu85Vlbhl8Jaosxylide80vw2ISVRA2+APVoo9MAyCtak/mrgihVNa4xRvLUQF9iM9JGcQp8rzXsd1RgjAHoA+5PtnzdV0AUxUaIEH22aK3Sy7XUuD65bmJUHaHO2RQuLxkM38pe6ANW0od9vKfUJSkJdgRS8MKI1dRig2LC/iFm+zRASvpp81mk3P2TPO7d+/++Mc/fvPtN9vtdrfb+Q6DrusuLy8vLi585l6lhkVpcZ0YwkyvjU/HD0pdmR1KOVWuQzl+w/F4RFfGsZwO6m6O1JzWkDQzkplLmVnKA93sQDGdd3UnU6al5QerezCzcwCtyYiWWsQwQBBSgPnvcwb9AM5W+0QNH6GJSqPdl6/GEngcX1EHedmVkwOcytGREGs2qqcU2nLizx6PR+9lP5ZDcHyFiFd15egJWObs+TN78Pqht1HdoKpe8udUjl4eTr44qUNVvXEMpFLO+XA4Sgw4awYVDb4ElxcAqAcytbYGlUKe3BwAid5cCudxKZm4zDCT5blawVKz2pQATPxBOBe5uKgQbdBRjdQws91249D2Mhajjv9YFABb+ulMCt+/sRJ7GuuzHB1cwzBcXl4eDof/8T/+xz/90z89Pj76K+7v76+vr/f7/fF4fPv27S9/+UufwMP9EypWpJiEfvkCY9lY5INHKglhwR3LSduYrZW0kZVytRDC09OT86cHidh2czpnXmXp8PDwAP7UuSHpqNlM5uZnWjqf5bKP1+qzq2F7gs99DhcXFw09+Ks9k52oGl5LAbRRdkxKL56udODO9XmtLE/lXNOoREc4eR0NkyhbCSz0WQozBmMpefX1cpwxxjjnmFhm8yU/ezWCH9QQFsGzpeQzKpmx2i7FaFgtF1ZV/JahZ+bVuuED6WuUlE10PAuLZ/jPjdTTc/pHKADJkhE8w0Id02sGYeljC6sE2lhr3YL7jaIG0FF4Hb7n8AqitrneR8OABSo5/J/rcyB48peX/fF4/Oqrr/7lX/7lu+++89KYi4uL43G/3+9TSp7D3u12Oef9fu/zR0KXgaOkwEC+DfQwB7CrlLg7Rpaab8Mi68xLbr4H6Hw3lpBH7MDsNNjMs5O+gfHuc0h0dhLwohRV4QkIMdGSTYw8tYY9UZsD8oA/Ferut0ICFIMwKRrV+4IGpCQ3YJJIzelLMdTyTnnpfBSpUSCQda/VXgzPkqmzkQ48CTl38feYDYiM+Yf5k3lgesuYIFwgJpScFyBpktnDycGIl/oHWDFWsip+vy5YsSECFis559C1XazOUg/fcFaOsJTBN8u3M7j4TjAe+0oMSRYoVktSJQMWa+E4F8io73vrwt3d3Q8//PDDDz8cDoe+70Nc9X2f0vDw8DCO40cfffTpp59eXl5O77Xg+GK1IeTcWen8MBkvBK6G9s5ekTqEKPWLWkLPLzBkQ6tc2JK4pYmKx2UyHU+uCzkIqLJ0YO37nEwRCvBLrYpyHdAN9YYbRp/UVZ1YqZxrrsIXixi/p+myLgtBg/mwEGyGrepl8DDzZ/NMQ694E9wQT080BlgzPs9Gi1SOdExyI2hkwUsA9GhzJhtUBcMYdiMAHUIwq8St1FKyWT6LcK2lLdQX3pJSCtTHt5H6PE+pjSCGid8Z60YcPkKuz9Vk2GaKL4AOcvZtJa3mkMWmefztyoFnsIBAzUqGIV43jKMb+R5/yTmfhqNb8r4L6eOPP/a9Bara9/3t3YjkI68CWiGVSisH7Fj37mCx65Nn8RFCyFll0SXXyrluUjM2i62Gzt2BZTj4fPKYjII2GAcmfKx3Y/FOEZ4S4A+MYDla6xiIS9AD200NjeEpROWZ+ZU6VWK9fgP2J2qtz5osLV6UqC8CayzfDMUUmz2TzbJziYDl91YrWP8nDmb2oAlscl4tnmWuCHQsgZADyUKX3xhp21ugcA/fDBnHlhpe19CHX+5ao7IDM+HX8bW0EQBTRv9ZqAoJONzM85Ha68FP7OmA/kKJtvCXucQCOiISpjYjcc8gynVypJkwk7W/4unp6fHx8enpyZEe5jzUuFqtPvnkk1/96lfX19cwLrgGnxkANR2MFCX5y0hckmUDZEcEOw4YQWuzxZ4XNM48CCz639FGlzKANhQkMyEAlWh3PvP2EgK4n00eFgoN/JeWUTMHI1dAz9nCDNtMXSiVth/zPVprNVbnbHA1YDTPZDPvgfkbbuHRMePGzbMSrLXaHznLaVzzArKwutUeLy+Wes2GRtE2SUgf5np7OyO1mTBTgNTCSMiA4pkDDowh/zKUAvNwzttvgHD2SwYjooBCopbnwNBAxwCj3jRCO/2Xq2um5796FD9QMAtLU6qrtlIb8vj4+P79++++++7bb7/t+/7y8jJE7fv+7u7x+vr6d7/73W9+85vdbjeUS0PlOOCC9dGIABYToMlQTm7FZMh4mStKsN6ODp/CI/4W2GgNOlwaOpUCCymNOWeTKkQSisOOmSylGK7GGm3YWETcDATucAOHyYBET1lYXXJpZFwsqUsX8to/uLEJclpq+uZDw6cQNKiehQkWQuggF4VaZDP0ebqNKOVlAOuI6oGYlBQ7EICfQBBuKnMgjS0UdrZBQCGEPsSGpAA45hOQ1DiOMVZRRqcSFo4AXwgh15lsRlszGafmsa7UZhkPQgTWtTZ58NfK4QeYBjtxPAKs1q6cIYlXAxEMDatdDJ6/FAsf5qGRWS61044B7+/vb29vb29vvXm9mZ1O06Fur1+//uSTT168eBHCBIfD4bBad1oSmkYZ1lxXoEhRdTx//H1OLWPh/Hgsh0M18gV0BZXJ+G0Uks9wGE6aDedkY7aNNgVxMt82IzOhLpHbUJoWxQl0MDcxlBpJJAsBgbc0grKvd8ZI4Qtmc4ygJTQx0pmFPHO+U8oJttOmYf8rU9cS767Ueb8VVRNpS4BAiEL7XDsKTOjzZyFgLyzS27mk4nj9WjQYMtYcxOm6TlJV7wSrr6EVmXjSnanIyieU7s0oLkA9SKw7IVhtgGjt/U6Z+5IdZ8SDBBtqw21npQxLWwQjx7qPrF+5VJqzheXQEJPShSuZqXec0KlvlpUeFFp661QBSCaUkU5EYr562j8eTwdR2+42V9eXq1X/00+379+/f/HixWrVbTYbkTwMGaUGKU+5PHQtgJQBxTfGl5zjOug/ljghBFXzk7V4LY7fRr77Z0CMmd/M/JAT3JynrXk5WBbNllW0shS6+gSbSPuYGOkYcLkiLVHbUPLxfjPiCSzLMp2QBehJsaZzfbZk86KG2CBeM9WLdOUYoqYHIAbcbrfe6AOFJn4D4jL86m697rONw3A0SSpRg1mybOM4jrHTICFEEVOTLJbNDPsmcLkVsF6vvYO0FC/G600Cded2/dz3/W638/XADnevvus6G1s/1oKahiEfxUzVbEyqQUViCH2Ix2E6HsgZ3s+g8e0OUCOOoZTS8Xi8vLzMkswsm2WxbHk8Hp4O+67rTOVwmmqQTsfj4XS83F2w2AIZAei5pKKspI3BAFCkUljUbxvLeVU+JTcPEu2mC6WfSy49t8dyLp0Xv7nZ6MH/sfQ2XmqSYiAMIYQYsmjOWbKN42k0SUE7DeYdasSCife7sYuLCynntDAzeCcHKwaRV6Pc3d3d3f309dd/eXj4sNl0IeT9/j4Eef365Zs3b/72P/1+s1lpsNevXj48PDztHx6fHq6vr5UyIxBeQmZIZm8/5z5GFTmeTma2Xq1yzk8PDy500fGng9FtKYYgLqaHIYqs+27VdwcNJpOXN47z+H0fg4aoQUwkZei3PkRL2cyCSdCQxESDRK/iy6PlNOau69ar7SQ9U4ox9n3H5r+Zd0Sbd2841hKV2+WyRy+WJhvQc0JORqLCYlaHLAIaYxPfC8nr9XptZh4/DdSpCyIbhonncKyYkGzgu/bNi7AGtCBEv0+pO572syjVlHNOOY3j6OeQln4l2bKJJDNJaXbRhUISkfbXMq1j/SxEE5222chaNLKCtAYCcglQLYUrHAdAGXkKWAT+0+l0MjpNvelUCOM5lBoBCOml8pFz19lFNZhgjW1FdTTmidLF38OO5eKISCc64C0TgqeckajGEMyst868q7yIeo8aUVMJ5gxRB1WxcA4S+QQOh8MPP3z3ww8/3D/cjum06TchSsgSO1XVl69urq+v15s+5+yn1npXOpANWELpdCejKKGcK/xl3gNd8Q3w+GKnZlMHLA92OCT7vnee0im+c8Q0GIM8PaWcwzAMbp33/brvo8yhFmM+J1afMQgEJTqOFoQRFkFMW/R+5Ek2RPUztMeXt3kHtSsFK/hxLKGrz8PGSzkus+RlkrMmvicblKpUOxwoJ8cOv1H/jsaERhSWuRTxArwllBApzwPsBPbzyl23ffx4sFRvOWGCw4IxT8+tBqoc0VIJrmoK/IsWMs1BNGowsyDahah1pxJAUJ/fOyu+3bu2SBnoTDGRSkuB70z1u0us+zJBbanezcRgwfQ4OsMCGvyJBRaMtHgRiotJCT+p6u3t7Z///Of379+jwFpVvYuVV/dut9vr6+uLi4tQTq0xM9+RwKM1/CPE527BZdr5wUhvgONXpD0lWnYA5ZzN5pQcrw6A5Qmw6SoLGZdL166+n893F62eAoVwVV6DaKnlwtl3NV+C9vAN00kjCJhuwW7e2YNBkel02mWqV0muKQlBSJlA4RvwtdUh0ar2F4JgyVeYvTv5iEcw7AL1+MP3cL+FTke3kmzOi52B7uw4seLk2Vwq6BmC/qGjE28xYQg4VLIX0gkSPRJxhnSEruZ1VotCOddHasJlHeVli+85icODKBUHsFAQSqwyceRSlsp1CloryUYtN8TXUKEQ7/HSsHwnqdPp9O7du6+++uqnn35yscJ7Efq+f/Xq1fX19WazQSdtDwnzPiZ+BSoJhKShr24sxzMptfhjKuWZc7xALIRyOsLhcJK6Vo3xKKSoQMyQdEZZPx8txrjZbPo+Hg6HyS7wwiSdLSyWnoG6WwEaDf0wYciCztNiA62VyoZGyuAVUl+NJJKaBbr6/K+zTslZEYaVQjtCQkEUdLzmuCj6xlxnwZEr4crvgxmCiVqxhxmFuWSsIftB+jlnkbzf7x8fH9118kLvQM0sGpZAMo+5yKHPrkRhWrUwv4uh7FswZCFQ+NXMpY06bT5jWMwHc4bcYSixIGi0E0PYaNciq+uGpBpywfj+K3QUFsUkzrA1Mtkcko6L4/F4d3f33Xff/fjjj+/evfMjmbQcAHJxcfHmzZvf/va3r169yjk/PDz4dvPdbmdU19PQOjYuSi19ABmfM5MN45FpdclgUmKFRUDPe7JYoiGAGEraEU4iXuRbflyq9v2cHGBXk/nZNWUupVggNsggwJ8nP/FanfNmiw9ia0l7P395j2SjAncQidG2EkYQbpBaIGBWVoeEGuEg3muZQRko/CMLLgohiMwhZcAllT6sgbJOWjpa+5wcZ7g/U0mLEFc/Pj3t93tv4+jbL718g0EfaEshjA6gDSyUaW8hCTKTut7BP5/q3FAjMZeEC+pseNUfBFfoIjPVoEHr3cPg6rOsomSk8JKt5KTyIj6FebJqXSJXFvLF6lCFlGRNzvnDhw9/+ctfvv7666enpxBCiL3TroeHr66uPv30U2/066oC50nyRk1gnx0iJW/C3zjSuUj4VZ/fIfH4+Oh3dl1nWWHYr9db4NQo+mPnLFkptb8gLU9uWjmqAVEeGMtFcMzg5Ykx6VpRvY1GgQBaIlpKT5xQAoXA+5IIn/tGyQZEdBmrEyJyJe+Eo87NaHiK1TAPgqG6xvrAQPFckw4rxz+musssyx3MKZSaVI/XoDKCJwoZGUvDRw+M+XkdLmIckVg2LA6jfY+Al9YqmrWTiKSURUSDgXvwN4hEVVGVnDvHvVl4xr81sr+YNLU+Iw1iF5+XpAA6PksoLLIZHUbpLSllBFY7sKBaKG3gNNdBGaxLVcXOFCILWUAppR9++OFPf/rT119/PQzDxcWFhil/6ULk4uLi7du3Wl85Zw+04RumOivWtL+L42hCsrsBBYMd37v7NtksZf6x9JEpMmUmVIY/bg4lmuP3RDqiRKntNLNAYf7YrE7JJAkUaljSVXMxro26fDff8yBnPzSIbhgQl1Ggo3mEb2ZpEsqOEOcyD1B4xYmQ4xlC6HDuD+jS4es75YViCn5b329wf6QTvBsZxh9iaRTAXjdIh9yZaQOeH9kT66pt5LBiaW0LUyVTS2AAt4l6wiAPIXgP+gZDmBjoG5qnwVyzuuYnSBm/2F7DGpnJM0X7pcid/HzTI6Ajlf5yufSaw/iw6czMSwSkZsUlMdkcU5SzF+CcUrq9vf32228/fPjgT4Dqc85937948eKTTz55+/bt5eWlx4b92YuLi4uLCz+WRBYMhn5DzFcwxMDPoD2WC7wu2MjjOA5DkmIR7/dHmeXabEQcDvMeN7zILZdEVZHgMaV0u5S21uy9sqpW1ePxxJQWqjx3Facvc6sKWeHH4c5UjhLOpWU6D3UeeXQ5nG2x15/PFBXKNrC1xYImUxbCb9bSAcZq1ajexcpVh6sjN9i8WENIuCiKR1NCQ0Pwg7vc4BDGvecUXFP5K3w2m81GSghzGAYnPi0tTnLOXuoOwxv8Y2XbFKpUQJc+eZhaELdW+s6IyHq9HsYjmrlgXRcXF6m0xUm0E4zldC7tmpCRlYW0UpLLqO5zZ96LUBy2qHnJFCk02mDhNiBW4a9Wygb6PPf7vQNzpK7UmYLN0IFevsQ5Y5CL0RXrvXkI6TlU7+/v7+7u7u7ubm9vHx8fX7y4NrNV34vI4+NjSunly5dXV1dmdnl5OQyDR0Mc445EPlaRecPIx8Q9vinBQ8gosFrKX/BMKKFH/x4dm/b7/TAkdAVNad7sxyNzUhKmIgb0WMzT05OHmVarlVmCio20L5fFaNf1zM9gXQisUPxrfynsJqWyGjwIouroJF9mT1gQRl2Wcjkkz//pdOjyEQf4brfbkoyrzl/0nFRXTmSzesOH/9PJOKXk3YWa9aaUqrPQGW22UPJ+5SI+WMJJbfOflaxaxxpQNajFBJ3orDQ0s3LeHSTlUlSz0sDF3NWIYX9vtsrycr4d6Uw/rfOFDWQgNIWECz4k2g0M12k8d/o4vyUvQpisVZpVc8kW9DZGbqaEv/yiXEoElwiK9ZkKgJuZXVxc/PTTT//4j//4T//0TyGEm5ublEbv+Hs8Hr2d1W9/+9svv/zyzZs3fgwTm5la4heNlFlikGfVOErs90GxgUtDHcsQmd8bo4Axcp43l5hV9I+5NaSFX/1M3iLOZn/cpjsrLC9xhyvRviQlWx40zEY6frWy/ZhBuvwrRIeZgiZLaLN9jZ8YFAuQThdrWb5QlcfEM0sZcLLPKdV753GdSrUh39yoJl4wjEmlHK2qou+ka4auHCeGXABIKtN+P0ae1vazFGkYqT6wkVCqIY2jinQhmpllM8vqUiYbTlk3zxf4/C0LyVkt8fkmYIYPuZYyrKMYYg3tNpaR1qf5sAIJIaDeF94ZMi9CfNLwsNRmi9RcCpRZqdGSWtKp6tPT01//+tc//vGP33777Waz2W6343hS1dPp9PDwcDqdvvjiiy+//PKLL75Yr9ee4rXakxXSzM1MGCA8bdCDFRebXeZMqQ09syG4ip4S984wYcpswIUpBQqo4VwkvH0itjnEN48gIj7qkk5ADLDgcDF2pOiSRPvsJkrLGXTI2JdnqhnZyWiIBBTIc2ikDD+LoRj+fkG7MzDnU8GAbDlHoA0R6MJgSc/sV1qOg2/Yuktlq+RqNTc3Miq1Zp7EZ623ijUfeBysEQIIb2xEWPNsKmWaWgqC8iKDaLRbWov2wFN8z/KzX/BxGErMh1rrBzhNWNTyEX6QF+UXuJQVpqqO6cTCKJewUYzxT3/60z/+4z8+PDysVit3AHe77el02h/2wzBcX19/8cUXH3/8sR8CzXsUmNbRk60h/SUWfEUe/pe6pZbUtadam+jz48YLZ8LjvZdzlAcPssDCS5kCl/Msv7aM09yMi10eZmAmNn481buXwTJIcrH0sXKoBtNq4+9gEAzYgBFfSu2DY54N2QMRRlLSP8/9ZRrQROqrYlUTgPnIUakNJznH4Q0m+EsUArGJDteJIRvLWWXLMfm9TChM2ToHBaeFN0xudZiWL4Y+o+e5NQq52VL4H9EQQGC2EWp8CFE5vgzl0uLUoJssbtA6uctLwIP8PcOHb/aMbKQN0z6flNJ333331VdfHQ4HPzM7lTK5cRwvLy9///vf//73v7+8vPQj36BCHCxQQuwp8BzYxmFS8TqGhltyvXWLTdeG3vA3Z/7nXDnmUoYp0/+57D5lJU4BYmCO0untM2fKguBlwb1LQhpLV3yUKRodZiDEYlg1jwD/EZ+lZD+0FDSBMsFTbMg0WOB/nl1IgzLsmgZkhD0mDjWRTJnvnt4UIoOP19yIkmYGRXVULgOH65mRGn722CGjhCGOp1han/UzRVyHG/tWWuoClnCUUk0AcAM+QExDMVpv+csluAt/FfK0wR9W1EgZlm7+Xhj/CGw1BGHn7CatXXSIAFBq8TrnAgp4uDnnd+/eHQ6H4/F4e3vr7lIIARuUPvvss9/97ndv3771L1NKiF9IzfxAGV4Kv6NhOSU1wCBy3ttut8jfS2GVvOg6RlCdv1Flw6eFFXsoQsxsZUMsoqFQfkwzLDSXS8AFW69RYMi14aXIPwQKkYDwloLGf+XQocusSO1NjDoxCUkcWbAtqB2z9V/ZCGIyRn0vhwj+Q9Hf5ifmh7NCTuoe6IxyLNL3hgKRuA00B3UqRCvLMaHnGxaSmm+xqBBC6WsxQ62puzESw7GLSNgDE6kuSqw+lJSe1Z5wA2fgTxZhGl4sRnZMu3/HreoDOeRwf/h1nkQIdTREa1nP6IMKjTF6TtB3e/zpT3/68OEDkCuTb5jW6/Unn378+9///vPPP/e8Iav6JfdaXZdhs+dyxr/QUtfHopNpoKGHTCG8Zl1KgtvfXxRGtYdYy5kEfoINQKSkhmnybF+0dX28Ip6MzyFTkrihT60TAmdXtDSumxel1G6jec4yAvtgGqz1hVg+UP1e0xGFr1CKGKFuqyYUDcJ4bbRCuMcZdOLCQSSr+vmwmvPokXxkrxnKqrrdbr13pxTXyW3vKIqJAi6ZKuIZiwVGohrcczdLIlGn3h85BD+BduqiYiZdF3KeO/VZ8W+ZXflvH1cAFpv9Z+8XkVwy/UadqJ5TOM1aeHUwmiCPfB/QdruFRYOsf5O4YYHlHgoAiLcDAox9y9p10QPz6/XaK3oPh8N+v//qq6++++47L8Prum4cTzl363V/8+LqN7/5ze9+97uXL186OjwtCCpkGu267vHxMZT9dZhSLmcVMpb9KW4+ANaScs4JOB/GaS2wjOYg0CZdZyWwpVyhB8Lj2hwhQSOlhx5DuDyrosmjP06YxWI6H6/0OXOdZCrnJTV86+PDNkl1c79Yb8cH3AK1jACFjOXcS6mtgUbSNSjAGuFtgKT5KSg5lmu+ro61dKDzBrW+iEmyZLNsGkyzBtfHklZxJSpiaiKWxaJmEQnRdznnNBsaXpFx2h/MbBU7Gl81RDPz3b1ezeUQf3p64h3ovoYimAcNphJDlKk/jsmYcoy9qInllFNOkm3MSUzSqdB93/ex70TEBpGcNAZOrDjB+SHWUGuwxuOi6BmI90S3UWsft4U0RvPNLGZilr2wQmQo1OPELUWZJOpQCV5ar9eJjrKCFLYSNWRpksq1Kkc+eR2KN/1u4m4T3cfudBpC6LbbtZkdDgdvK/Ptt99++PDTfv+Y8ygiu91mfzj+9NOHX//ml7/+9a9//etfv3jxAhP2sFGoD6hxgvYaKHTbkVLI33WdH6KCbKObMH68l1EQGoyRqGOGFCuGhXsIwWRM43RbFzuntZyzWRrHOe2ttM/I3YqnpyetFTvg6TK02JIz9XohVSwneVqWbHP5X2PWYTkwpUUEvYRkoYqMeiGCKnwQrxjAcWB8bLb/FKiJzDiOGqMPPaQUY4ylqM/JKZOZM+Y81Jv+x5y1bPLkZNX0UVVjROlcogLujiUfhovlSC0hlWtskmk2E1ETE9EsJiZJTMSbFfpGoYnazzhltcJpXRswbSNHG9kpIq5+RLMbUKJJTEWSio7pxOPHGPs+qK7QmVEWZgjjlW84e9miepK5nQdpHLpmvV71FMt5e3CFkBFk9QIC1VqXWjk0bjlz3MCADbTdjMdPOXnRmk4R6/Tw8PCXv/zlH/7hHz58+OAHocQYRXNKqV/Fy8vL169fX11d4fi9XBqSLfkExJfLTgUhkREo9pEKccMQ8ytQ2G7ptOIRdm3AzB4HEZXYFQPKRstm+XyFAaKY/KXWEd9EJe9mZhZEnP/9KZksaJ09WUac1WUEtnCx+cqlYA8w5Nq5hlqgb9j/cpj0RUo2qGGKbYY6O5/mAkyMBoTOq7qLZwo1w1JdchEP3cCOYdRwAosVo9AA5qQUJcVT4KhGDoJqY4xSH6nZTNhKKM5Z17fSSKESXZjoGP9noInbmrDIWYHVLLyBidLhhM4hsWzIEKJvKQy57FXo96R6VxteCi+jmTlu0NJ2x8ysdNgo9cSn9+/ff/3113/605/u7+9U9fLyMoRwOD65VfLy5cs3b95cXl5ylUQuVYu4GNHYlQZCyrTLfOL/nHPZEhnqiBJQ2XTzY1kJqDI0cql/BanzjkHmqIbS4CYoqbolecDUEqJPEYsx5tI2E7dhSlJzB4ut5sL8IWXYeQmLuBvsaCE+bTzB5cUU+/NXQ9V4BaRMpvRIx+KKGZ6ZXMm7xp3yjExpZVOecKAksIVwz48oSVCmmOUEcPV9n23URQIF/iqmyhkZnslZ9mPc8JJ5jUuZQuQ1PwI93HxvcNwKi3LOa9K9C0GzRBaelZpDQFh4daargfAkaKZ4R95sNqvVahiOj4+Pj4+PqGpfr9fDMPg3b968efPmzdXVlTsRQvm4sDjLgacKQeM/sWGV6yoV/BTqqrkG5gx2z/ErBeDB3kzYApbLs9QwuhpTWkiaL7/HZKRmDb8laJXLw4N4EeTFz1RvSaFhId7BRhlIH8yfjZ1MGRU++yHSLtAGpLyE5+ZzdoZGEAA253on5oFcalUBAvAVA5ERv6SDiW5Ml8toJrfkbb6k5qj6thxjVJq5kpUIWeMXDOmG26UmwcY1W8JRio1gZDMDUGzJs4ZhwmJJBCsG/rOVnZB+A8eJGjRhmZAySwA2ALfikiALC+kWQsgqwzDtKhzH8d27d//2b/92e3vbdd1ut3My9aOXrq+vf/nLX3qZb6D0/FnpgGmE0kkgUOo0lyoyACqUIqMYIzqZ6SLzorUW5EsXOiCUaCgHGmKMWSQEMZOcDcoIFmUB2pl+ug0KlhRCcjMEVS8OzjlbtuxSzIKYiQWVqKJiYjmH7ryU0RJYCSU+jZ1xLO9+BvUTuOo2lQ0vYDR8/5zE4RGW4wCzirgM5D3Q71GuBppaYv5Mzct385csO5YfrLabGDfLxfCvtLCKgnmFjg8ISp6Yf34uULIEZQNTPNLMTUisSK0TmLIb0tSixGDPsxRoINw82EDSFslsoSRCKGk7fjyX9gUT9MxtbBORp6enf/u3f/vjH//4zTffDMNwcbFzAerN/X/xi1/87ne/++ijjyDdMCDkLECdqOQSFn6mwHBK7c6yTGFsSBOAUejMwwbUiG1Z0QRYuJEvFsolpV4GRGJlB0kjv/y9uA3+nSw8U7xFVc3OdFzNOXv+jm18qU3R5nIBPZZzlrV4WM6nzWRQ+tgwo6r6xloUQ0gtF5Ys0PAj0xX/cyaqelj/23nBGyL2oXRywK2cOTsLd6ZmZoxiFJwpP9PawQEOrJwLAZScFTp8jePonRz4Hl4hU5UulB7m00icn7l4cC1qthnEL2YhvI4h6bdx6I7rpiAymAeWfMVSxsgh9Rd5ka4bSojpIAeEECzb8z7q6XT68OHD999/f3d3hy3p3uxyvV5//vnnH3/8sRvtmLMUpyxSi8JUTu3xILeSYQJoLF1XWRQl5fpAQa2VAb5spJ5SVxepyFKL7Tnv7jNqigYxgbfoJP5aO5fJDFhoCAaZI1yZ9kkzbZi1dTf8dhRVaHH6Ip1si4kBBUzhWqpOlPTTWYHS3GDnbMNM8WP+IDVl+ns7N72M2olDsTAFC/W1arArRSFD0Aj1UmmkUsOQShcADcpr0IzFEEAlpSRadcPzv+6fM/RZOy0DE/iMFzXSmqkHI/CY+N7vhMJp1DvIBR4Wh5D8paA/WMiN68oGGtYIXGCEGOPDwwPMB9Ri+AcEv2lpcz4CgJIilURk6t273lxeXvZ9f3d3t91u0cyQ+QElPIn2Xhrt2YVR7MKLbWehEBI2MSF5xCn/peR1Xc38A5gb9d+ErE/p0PjLVqKnTH6AOVBZy+XqnGmQbgihRNUzo4nxqHRuTAgh5Wf3A4IvgCAUTHFajWk+U6ZJiq0Huc8wsee1rC5EDPOC1oLGatPJf+oOhwMXv/vrvX6cCQ4XTBumBiu96TOVeLuiW69WLm7RI8YH8UrqSC2BMQcY8Mz52IgMDjGzGMPxeOxXEcfcQDSg8Af86SNwqFJJ/xuZ9LiBAd1AH3YBqhX6vl+v1/f390LSkP92dPw2E4dRL3Qp2zhDCL5R0GGVKYENAmJqYzqzol3NzC1zEfEjeFx4HY9HL72xkvTx4yJU4mq16TrJOSPom8tBAn3fY5dNSmm3243juNvtXNp6kxGnb4cJZJMn0fxFqPkGcfuXoBwnA/8G1pBDI+eMPkEQJRA6boN3dCggxJwXs7BI1XKGV9cHDYbGZiknDbpae3FKSjP9S7YxDdp1K9T4uKz0fypV64fS/a/U14jq3DVGZ+NdhmGm0hhjCJryXPuDmaP/CXO7Fc8uFxfbV+SIZsqXov9yzkq2D6tbR5DXOqJfDDs3GNDIVmIBhwVKXSVsfmBNpmJn3JHJvTez5p/8WUjvNZabw7oZjcWWkBCVotYaH8S/ZONISF7udjsNM1PhJyZinnaiymsWAdAnes6YX15eNiYkZ5eSiNebS91XLjlaIVcFXhXejjP9MBno0gYRDG1elw81lrMoQViYg1B5oc+t7/rj8ejRuuPx+PT05CdJnE6nzWZ1PB6Px+N2u/3Nb379xRdfbLfb/X4PKZZLdbLVMXhMvkHHWRAZGSb+fSy9XJ0sUWHo0WKtk+JMVAwNrfMAfnOqu0Y1j0DbZTorIlLCvrmW/XpAq4wsrLSjI1iFuCCGXmRolgCcNpwoVEcjRIq88Z0/aLGh/O38lNZuI2DLdgbbSrin4Ucpk+T3dkoxC6yETQlZxC+lFjRYbcNvVjQqRsBUlKw4IR9PS+POQIUJTg0dncjJf7fb7ZhObgc2dCYkzhq6Z4j7Z1TEw4Rhnl9ejDagnzfy/szFAsWKdIaNoyWwBzCenQOebRaC1UGORGoTA2E9lq7vUu8dU01oMef3QMs5al6/fu19qkIInvDGzVqy1ErumJBm40xtw4G8qAZxVsr2YO6xyYxxeC2NQMGUcnFIlfxBJnhGK6vuRMd7nZ0ttFeue2hydIlnmxfBVx8shGASQBW4+SzcpJw75jav10PGGGHbLoFwKnjH6hjgLDv8BlhqUlM7ZgJW5XsgCiHUZp0Awsp1TIQlSzMKSIHhjtebGY5Va6ATKGyBp5QaozMdNGqB1lCtqnGCtL5g453FVlhsrpFFIP3sBdzwtBtkaK1yGTe5jqLhKViXgA9ni5+bSYNvOSdltPj2S7SicapR+5Ltdrvdbg+HJzOLMV5dXb1+/TrG6HaNd/PG2uG/AFOg1/wfqAcBwHEblAdkDcCCl3KyQheGm1BiyGinkgsdP7IOIJK6vg5MgjjX6XhCbTTf706KlWOnIKQQYcB7Q/HfgSkQj1nwBB9AERe1hQ3QHCZs4IDaYS+DnEIINgyyIGyttSnMBUaNPa/SmOogl0HJZtaxHdHQHEsQ/8DMs3wB7mc8BZ1PUyJoVtUfTBAeYZGa37jlT6YoqaoeDoeUB5Yp/iuUakO+RsqKV+Hv1WJH8Dzl3AVGNdJFDevaOQfByESyshsFxHRWPMmiXE2phFzOSSupaHe+4K+568G+QErpcDiITOG5+/v7h4eHRGeterqq7/vtduv+/ziOHuKJVH1j50Q53t7QKCbZEDT+6SUhsezAgBJmG5lpdUml4DqjwLnMATL1/1ShnDUELXAYIGVEJGdvqzbrQqnt34Y/zSxn8ZHN+D9JycqLRERF1GzaYyVlR4JSPq7BJlMUksJK5ys02Sgs3M0cI/0dqeWA0RbHZeoQUwoUMGYUa11Qgg+dd+VBalOKE4vcG8saWNqNZMGIodRTATRQPg0DLH1pn2LXVYLPyq7FcZwLfFnKHI/HJsfkM2FnFSCTc9WDfnk096zgO3s13IslsCbHpRQKYTXCCYtGFpfw9hwQbWAIBPv3nOPg2856TAx2llbjOPb92ke7u7vz/JTvsXTjJca43W69v4yI+D4DL8xDHaqQC4ZFZdrYKbVxCvJl2QogS9HnEIh+sf3oV6QqZ4zAMIl1pYkbHbvdtjGrpZB9zhk5CinBO4Y8MzwGBGWW+FGlvZoRpBXEklLyOCPIyei8MyMvD4QBX5u7o5/VjmbmnA4LEerNNyf7K3yecNlwW64jGzz5GRpEsbOUYb1tpI2bVWkdSVlSPIeaQdNYMDuZUssmfOYHlUJNTLKyiKfknEOc0y54tlGtwAoLWiNFylKpQcwSW1KqpBhi+Pvvyil+NdM97KOGzYAdRgSTOAO2Ia9QJ1wwOOwCobiYh1f9xIWnp6f9fp/LFsTD4RBj/Oyzzz7//HPXBJ6J8BPdpGz1BHLHcnwiMPgcJHmloYSNQKNuY8J94By8kncsFG1hdOCDn0IPAmM/oiFmzCSWKptc7333Cfqsmny8x+ydk13o8L5tofiAr6uhEP8p1FzmI282G2CQSQunLDAL8ISxhIk1Sv8tjM8M0tCnFIOAM0p46iwG4b0yj3dBO1VRiSKSk3g6cwxjDL3JaFmzJcuqIefkffIqSx5zYp+NmSSlU4zRTHMevfuMaqfqwPIJZfzVEqJjveSiCnKayUJLfxn2Bh0o8Lcx26W9IOS/sH3Y3HCWKzgYgfHPyhSa52xnNsYFzFQp8g5+Cn7KpXRFandDSNs00zAz2DiJOt34mN5qQEv3SVaG4zju93tvhecU9vDwcHV19dvf/vYXv/hFzvn+/v7y8tKLU3yST09PPkM+XYRlwVnIMI0qxVzxJbKqZtZ1Hc6ZAVO54lUqJJFax/r1+PjoR2LA+3byYGkLOQ4sdOVUplT6QoRpkpHJxlcNweoFRH6DT7VBCvM/f6k66wkWHB4gO/sgJLLV0RC2yyoIL7q4soW1pFsrzoSWAssmH8qkCDmA9U7AkdiZ2pBtHLKG2K02OcuQ0phTjCGJnYakGjerVdetch4tDaw6OCQJNoY15egzy2IaOxWTlAe3CW20EMVMUx4sa+zUzKsDpi5BqZQj5xLhd/pw0674n6PEkKyASVVUx5z9v9B1pjpSqwEbxzUdTan1pkoju52lkkMcyPCZOCvisBswRhYZiqC0UvQZY3QV4xIxlzho8NB7CCaSzPwMWsWeJqgmES1NW8bSV0Epws8WECjGZ7XZbBB/kaKacAhRLiVIEyNJjKWewhvBbDabu7u73W6Xc/7yyy9/9atf7Xa765vLnLPHfb1OyhHk/I/MFCbmNOonAbn/1fg+/tebciBM4ARwe3uLO92kCsWDFspeCdmSLGXAdev12k/LsNKy3v+ZSvUz6E1ExnE8HufOIS5T/O3lmDdP2Mt2u/YX3d7e+5gxxhB8o6aY6Q8//eBV1105grbruhBDv+lFxMSyFo9VxVRPw2hhEv2q2pmJauz74zD0fZ/NDsejqrpps9/vQznctmFynyoqtrFedAgxmzr9ecB53feSs5dmp5T8eFVLSUS8pM6DcZCqsS6MbARToh0zIuJJfi1/sze4M5MQzIdarTaq6oBLKXXaJav6rUrt/fL7FFFxzSoqaiKqQSbTSKJXQ2kwERXNKI7KZRMzLuQXoHbGcUxp6EJVMypkavF8MBkABWq/EfmNmWBkgeOnTJ39IY+W9sVy8OWVqGoeQ8XSApr5xD+wnmeY57roCZeVLImRorbSBwcmUgFzPp1Oq1VYrVY3Nzc3Nzf7/d4dgV/84heffPLJzc2Nm/rO6qjLEHLF/RXsMaHHQlykn5t5BvK1HUeeKcfkrTg7sMxhwuRnEqNS4hFad9WUsikP5oAUw7mRhozTYg57E7JqLy5wp9ThzI8zdMnuJzIv104UUh2PwZ+X/OzfR6phyRTc6Lr5cOpY9utDrTIQmIRSXUOcc47dxPhuFEP6M00ywIHrXAIdItJx3F4pIuNPIjGJt2pXbTJiWme4NO9uQKNkRWvt4+Fzw2be7YklSJ7DYFXUUMni5ZeGOq7EpuZzU+VJgouEOrNJHVvBI834VhuWck6WSTFMoMzPToktZ/4+1wE1DAtHmhk4U/2FX9OveY7Ze5T3cDj45H/5y19+8sknV1dXoeweaBAazp3MG0tNnZSoCj/VwBkYhJHFEQEwEotLoBLjNBDDfELxPbU+3Brkl0s/La+dbeIdfhtipU57Qef0AsRoCMGDuH6hiDnX/WUaIBSmfVbKZAq1YM6QIPgVbAjHUMmbttIplWW6z42LrbFMeGoOFqUAMHFfNdtEIZ7ZncROGcAolGpUBgQzT7bz+p+ANfNApJpL/rVhbwZcM4JfXgIfqB9VjDEEGS0zXWG1CDEIyZScs9abO5B+YkNgSawNZTPRLCUIpsHyNCw8f6lzbeCfRNXYDF4ek3HMgq8Bppzb9efzGamPrJTWyzmJG61uv7j7o6qbzeajjz569eqVn/PrZyoKVdmxIPML2wuk7nELvpVa1BoVN2SK6fBa8JOZoei+0cmN9MTaGaRMfoAnRoNmZZYG+zE9GNW2sIMAVIYQXr16dTwe3RDAflGMvKCx+cul6ISnzPc0jIPZxrLzQOnsVrjJVluOOWdXAKEOCaEUtjGLnqN2ISUH20VEukjl/Pw8ZA1jGm9lxDNlNFDWUuKVF0FvFjFWB0SsjmPx9IxCvEVVTrjh2xoCbSw1iFgjIR3rfY8MQZ4GZg6LXRYysaGes9805JXrLFguXaYZUBPOCPLLlzaPWKlqzXWCz+2RWBd9ACAxBreQPQTm5rdnr70NcMoD3p4p4MrQi3QCZIwRYRq+GZPkaRj5j0In3mZSkgzP54ZiNtayKxXBI7aVhGi+LxcEQSOkGOz8Ou+OLhPxzwwZV7OWxVANWpkSQgg5z1sFIXBxA8NZybhgyeh7kZjXwINo7sU8YhRJSWV3q8Ph6XAQkuBarCp55oL9znjpeC8sm4jYMAKBF0LouiipquIT0jAM94ZXbcEbDPeGQ2BhGlmAqOgBUMws51GD+nSa1zXSAYMDrGASqw2ZhltAGQ2CE53KjBc1QhYjMDpBWMw8MK/wE0OY7QUpg5yXQaSoQRm8XkzGQ5K5ZK/813EcT6fx4uIKT3XliEIvyeNxjPqY8GIZ0djj6l82tk9DD0ypbFA38xeSxQ0oMsWYgBGlgNESEe5BeCCfs3sYFoIJSxCcHJAmOMcYY+xTffIviye3FBAABihCvStayW5ibLqgt1r+TjMkkYo3LtPYIMtY9xgCQFK9S9mKA8i5WoeYQ4OlM+OOXZVcoqsdEMOQxf1AOXTaMB55SUrmX/OlD7LURUu+ZTJ1+dJsA4UxwvD127r1ylvY8Jyb9VcyuMhyQLmrO79bLR9DvUFxyR54yxREoPZLDa0DUAw31x5KF4/M4y8RxPMREl5subDWwmiwL8A/sZTGJtoXk3NerVaeXPCG+JODKTnWNalSyxcpW42Q7zcy0ZcXUeYMyVSf0MpLbh5njIDY8D042Ypy4jiFV7jABXax6LZkKOFSQNJI5+ec/WSOMIVaO0iHvl+LiNcBOOMgZA5KboyU8qHanqK0NTHSCXMslSJVJDVUpLVPJBTfgdxhG0LIzmBebiZspbae0T2TwQKz4rW/EJB+xbpy1526tKjGaagWgzQyiN0TIfGZFrvIQCGInDHEUylYgGuDeLhIZTtILQIa7rVa3jkNrVYrlGA0F6SMUSVu8zogI8aYznk0Z0f2C5X+oCpYts04E0ZqZ6EZHHSJf6J6FS4MxIeREJw8miRdN65Wq/1+74lnlzKbzcZHmCqzKWmFepxmXf4KlxEoC/ajb5dAsFpeF184QRmehbbUUUwhZcl0CJMBVASmzXkWl1hgQ8+ROgqAwZiiChVNuIgxOmx9Z9NI3e2MGoMzIREe2y1mMAKgBho2RNwzl7ynUhglUO5MqVp1CU+OsmOclJIXVYF3pHYOGGv+N5YkAAuEOWsDGy+VGifX8A6sOJVvnSRnE2M8WX38aBM8Q0ZTyZwDFyUqZPYxxSJDB6LUbdFUmhJ6+YOIM2Rw0zdTY3d2rbkjgar6KT9u9TkE3SzMi4I9QAOZHRaOVnslnptIRfMI1UMDFFZSqjBfPQIiJVx6PB7Z+mM6mEBa8q+o7JCSeIKpzGY/5wt8Mr7tyPdYA4OubHK21WoFyXJ1dXV7e+vZh/fv34vIw8PDOI7b3doh7Me5Yn+TAzPG6AenoJ4IcofJFMqTYegX9sejLkZI2jrTes4RQEDT7O12yywaSpNAzyiHumuSAwowzDnv93vfILrf732Q/X5v5TgkLxHSsvkgpWlTmLfLQHjbgekR9NjPGRVWGEoBkTTXzU+rxj0o8ENjHUBjss1LK3VAeNJG5Ww1EA9Y1Q3Vw+GQy9mBjgLHhYdQ8GygI4Yh3TpyCKCinDcHOvXQv1HVufNDrFO/YNFGaAVVXyykA9YAopFnFP5zl9LlkTMla5zlPU/J6lA2T5jlBTAKGQrzEm9/zpKXhRmitYmLyeD7XFqCaW0VN5BsRmbSbxDRXA1Y8DfRBgX+nmmIBSirJv5ytVodDgcR+eyzz7744ouHh4fD4XB9fb3b7Zzi8awHziF58V6Xy5yjxCWV3q5WRARQxW5Ric/xIytOGQI3sWw+iFSfxogGW+aSLUKUpPneitYRImNWFakU8gkRf9/PpUBwtbquC10r157DLNYlUpG9kbYLdZoM62Lx7UMxnSuZfhjHJYVX7jGCniOPZpL8a6aoS1wErVV1Tqoz91op6sdPMC5ijIHeDYAuQd9MnUHT/BPgU1VZxHEbzqnx4W+sInxCsXdc/L3VPt3Z+/kteDtLq+U9GAq2Gw97FltKaS+ADttqz84nVwsXfAYzYAJS06LVnbpkwfAOai+/VtXdbud7CPjUR5aeQm0ZoOhyCV4YbUZjMlhSs3/GnZAg/AqpS0LyIuMDr5ADxrwu8AOkCUxO3uKopbgBBgXDn9lVSg9AW1idWGCMMXZzxRCo1IM7Df0QnZypIHPCYJvFRxtPJ4hIduWWxAN4ajFypRSyC9W2wFzwV+tCLDZsKzX5xYW1KCJTyMqfxAsgzJYcFUKQaSf7vA0conEpOID1BlsMQXapjFDFHAIdxeJTphpTaSbMwq59b22gYflS86SQcOF14dfmy1lK1gs8+wgu+MDNI8279IwD30ISShLAtKLPAUxGfzNV3HA47C8vr1XVT2Lqus4dzKenp3Ecffu1kUoMFGJgQRCpQoIhyf+UxbUEAuKGjFbmdhZMRoEMoR1hHJ5ojIJU9nOA7JsJN/TcURutGKY9CrCbMB/2MjDhrhzaizKChkhU3RmZc3mASQjBBb2Ujam+NKvPHWMBpyUqytNDbotZAPdILe9C2RCDSQK8AGzzTaSiTX9Rzrk6WnyJ6eWVcw5xtkgBU/Z4pZXNFd0AamxUs+5l+PKAbIYUiAieAl6FhNHyarxCVgs8SQzCMpdXxIIS3zB1St2gCzdbbcxnOjOQ8d1Rh8dmOaxO8TksoqT+LrYR8DfUp8rxX+8WLiIevhnH0YMR9/f3p9Pp6uoqxmg2nRvvuXDInUwbL5bs6qvjXaYNolkUsjIEdmCuBupdwMST655yWrsYWnujzu3jOPpCeFdarHO6LC7H4hFbXQDRkLeVjR1ZJitjzkzl7PKaaaMByPLK1NHVA2G+nHXfQ4Ay01l9AQtYHSbMhCekL0PJZjSYAl5YhuJiRsB85thP81umLBeI2MyGYehkMlJAYUzl/BeT5m/wvZ2rDsq5elxJjeNFhFGvQagE5c8HNaR9XZXIb8ilwRC+ZHBhnlqkJw/e3Ny8RYuUCZTJMrKorVZQZqZUMCn1Z8ATi8oll8QME0rkHkyL70OQV68+GsccY/zss89+/etff/XVV35QgT81ZbiJ95pks2+bDiFw3+IlxT9HCUJEH6hXkZJpJmTeK6UdrVQzNmo5UWE+MJjp8rg1xoSUbCAvxRQCih3szgiIy3RdJxKsFI4ex2MsiXOl6JiRCiG68iD9+frDTMVNcDv6ksBiSgZ7YnDA1pEIIDxHnBA0TRmH1JK9saHMLM9Jt5mDOhYlWjvSbHjzUj0OwvPLiyACSCo+U5IcFyeQFQo741sZifx6NNcSM1dD6Ukt7/BXyc5nwAmJkmYCDEem1CV6jHQ1noL/zwoQH0A0qRxdoFSjwfCUovOBYKw0ly3gDS4gRKw+ek2KN8GmYgjBOdpjn7vd7he/+MXvf/97j/t+/PHH19fXnjyKYZoet9pj/sGwLFkaSpNaNDd1VYAbSihwv4/GJ+EAF2yAMFobi5Wp9yz9N2UWLCJh7IhITjbWh22XqSqIfLS5FTS2GnL373MUfoYFQDZK+7DMzM+lADZ5ekr5hyX74PJfY91bj3HRcC6UUyYH2R8ZxzGS3AeCnCVSzmKWVKNZCqELQULoVH10f1NSjSKiweBhat1Mt1nMkmP5y8bapJW7JeydaIJZcqZWVf8skkX8ew9Dm0ilnYAVIA9i3nyptb0DwDUzZGbgm/2fI+WSGG2rspcXjzBj5zpsqapjOY0EJMjmejMTIfnV/GUFxfejia8Ux8oDftx3FvO0YLe3tznncdRhOG6327/929/f3Nzc39++ffv2+voarOmjeTEO6oP98h7XTZwO6B6pATtYXRZGPntegWq4QGmejHcfh5NcSGnDpGeVg9sAZFh/GZEOs2EYNpsNw5wlWpyrDUfLk6gC7cHagvyVYoYAxVBFC+7QEGYhBTmotHueF5VSQkdUJdMbAhpPSV3ZL3TUjH+DGLCQiGHNARGvZMgk2gM4AZOKs2Yd8H//P/93k2RZTZJKDFGCdiHKqt9osJwk5UElxk5zkmE8Sl1ADXCgugz6Dbq6kbX+4u12ezweQabA9OSIaRc7tayn4TAOWYP13Vo0iwXRrBI1mEoUzWPOXjPmKMTywF2p3qsq9YH2mNJut4NbDkXhlIrlzPl/Mlisjg7GxcmzMMub5CKQ1yDSx+EzFeCS5NLAiaVbpoIXd1g8++txB68bcoaU0niUdXUjSVUikrUiMqbT/ul4PO3fvHmD+kxHMfrsMAMDgz5nByBTLXgg1q2OQUi4bdpH8/TERMxU7vMMpWuUTwydIhp4siLU0pBppPaySznOaMLb+82082aikzQJwf3+SOJi1mGH/Wmz2XjN0eFw8PaDSmoGcl9VRXM6HUOc2/FCHVqprvI6F25RGCkfD6EMLaIL/52lQK5DaU09hJYGT2ABfpGX8MDflLKFAoX7kH1dtlFVQxTPaquqG91jOmlGZFdEOm+vCyIAe4ArjAL74MBIu+YYnVbbtA1lmCSzaDJ1n1FVnc5xTpZN1TSrJ7tYHU0YpqwHXodXZ5ozvrey44YVS6g3jyi5WrB9AASsghm4mdJzFw9y9kvAB/IL+Uj8dLaHnpVebUI60OEMKOF15ZEkmh3mMcbONjHG9TB1e4rUnQQ0xyNABGACLIMwB2YeCPSGGXI5CAnQsNq4YykGyOCD1EKc56l1GS4/zmJIzxlZSpeIZEt5zPxSfzPjEebVWHppp3KgKGaYJ0fYYpyaLmHh7MQBvEB0pPJL/BSoqoNnIvUefeY7rslmaCsJaDaj2CZlgGdysvC3A9HEer/GWA5ag+jV+uJ3aOlujaVCp3keNNH+gAZhEBNWnF5GKghaSSQzKQdKcGBhoVSg5Nqx5PcGikBl2s6DF8VSwyr1hWnjg9TqrpGzgaKJQhpyOSzjjP8JMWoUZQfupd4KD/2M5TNvh1LKqY0Jcy7yBy2H2lkl0cyGntaag03dXPuw/Bdwg1hhw5MN/mZ8pcCW1NK84S6MvyS8rpxCmWlrT6Dy1OU4QqEoLKFRTs3l8fLj8cgzZD6EQWFmIhZDMJlvALjg4LhxoWQNgcwgvhk4IDy8mlEPVLKNDGZk07uxSRueaj4jMORfVseJMDUsZ2Ml6oZ5MFW575PpHFIQYkPKuZwVCQ7Pda4KosFIAmKS/L0uzgwE0Q907oyRUQM9y2zMxCfFkjQSH4ythtzxiBUrI9QWvgMhPbNvq+H25kXNDHPZOZHrqK2WJmaQR6wqG9CdXQhmwtF6RgS7ybxwq+0F5g3+lR/BN1bL08ZMNgon4Vm8Haa+kfnDfPLcmFKYEMSJAXlpjaAB0J6Oe6GDzFU1hOX+oBmbXTfXIktRmR4XW4onVc05aajyOLYIqzW6ExzE+2ACmdt6TqzwAnVxWX2Ktl+ptED2kl2mKyZgphMnyI5XonSaBF7G9MFDsJQRkk1NcaGQfoilFe7pdHJpBSEdSxERT5dRbgsL0Cap2RdF5LwtKZmq2NRqy0FJ0DRRCWIhJ59tdqNn6jUvUSVYzmm0oJbGtut4fmb/Hs+KKcDqi7HeMDxfmcoImpGfey8eZA6BibqUm2wj1PCsMse4h1tJNgDh+5lgWIY2FNmQFvM/vwXSDbQODllKbaZSXpFf2GwtC72FEYxcp2aEBlA8YTNpuJHjMh64cYsGpM4JwZq7JeccdJZiQrKbJTjn3bGQVPZ2pLpwv3rBAmiAM2Mc9i88NYceJ8iZEZj9QX6guirtyvIPChn/zHUFTWM4NTYFFAXTrtQ6H/0WRCrhLbUAZqJs7Cx/XRNqyiWPg9ViKBGxcd4Jkctl5dxlJqxcGtayqYUbwDANzsKijgAzbIi1wfeSgqVmHv+Q6j3uUmI0kUo8uCcbXuHDhnPZK55bos0BshD0zar5nw2NLhfb2BRKYgi/sqWtdQFxsxAl2cT2cqOocE+k4oBItXlMG0LiuJke5rDSFXxApxCXI97tAfjEp5TGJXJjrLYE0ysk56xBmQFhquQ6aWV1SRFTRQMBRuJYDo81Kj2DccRrdxZGFBn4RUAgUJIOso+xDC7ouIayEQQNz8dS0MkLaBbG/ACsM50BxGygGmVzjKSj1aayLCJbVg4MlWLEOkq0llDVfKRq8INlKvluDLWzS9NFmgYXiAA/Wdn+zzc3kgJ3CjEG/4R55jrMYUUlcjeyQGEsd06NojNsnTFFAvvL77WWFw0BNAwDVOJBpmOk5xp/waiWB8MqVSHIQrKDVTgt3QAQqISjIbX+j3Uvfp4DXsr4tTy3TFpiankplY+7RZNSGoYBtb9COeagPrfZSGRc2KLIXumIUZYRy/QfA7mBUi5VxQ2ujZpG4xstu0A9QgKMhJLICxTZAT3MfX8ZvrlO9wpFoVhX46eGqvhZFvyYpUcTpWZdjCPEt0yLShp1BsQ4ooUtxGKgaJYQA+MpnvxMQGT/L3VdI2Uaom+WwL6Glaj2zxDic98zibN1zXwCL6Dhar+8OUOgC4hoFuj/ZNTnUjGoJejI/M+fGSxKmoCX5vPhTpEsQRiDEB+hNDYSElV4S4MvwIFFDGCFCuCGDBD9hdpY3s/jWH2FEIQMSYyNT86QnP3w3j1ck03DSozRz5ZsnKlGqOEDMtmAj7/FqxaN5LvfDx2vZHcDXOxI+oOoDECCDDezvAOjIV6DcTqE2aG6Qwieivdu3kAbWp8z+p1uEA+WWgP4Xz84BoYoOBCr8nN/puYsZFgx0eRSJ6IlwWlo46Ixxl5ExjGHkGHRiATVoOrrMhB9Sm5MTRCPMQ7D4CcBdV3XdSszG8ckIqvVarXqHh7vYl3sgykFOo8il26y2+021dvTQ6lfQFI/hOCqzB9hZsMjfr+WcqyuNIhG9LehHvSyY4RaqdYDgpx5nASZFZmX8JlrKBK1m/T7vTXJ4+NjppQzqCXVmyRCSX96uxZdVG0cDgc0lMMCgXEjhemrRuGPPxvLBZXDhM6SzkoM1fHOxh3ihr7PyKHkjOCFAikliXN+wEGtMsu1gpQZNV1coX9NSunx8TGltN1uvYJJVTebTSjnT60380bwTCEkX5eXBbnG2u12+/3+w4cPr169Qn8fdNHVcuAvwwHc6l+m0rgD91jdYtWBv9/vAVuoXiPT2NkN5V1KNVNA2XmzysiyklrZQsixDIMCtHP+NnMFxgmljAqlog2VN1Ny0cbq0b85jSKl8zt7MVDdQgzfEDEYVUtfYSDDzE6nU0qDWLXfSsiSBNFzNdQSkn5xba6IOILd0GiADAaTc1K7QdZzCMI4y5txGz4o2W6ZdjBAmkPGZSpsdQzCjwbiAnUdU7IifaUAUaSiBzA/Y4R1OGt1IfOnMTlBnAyZol2ok2bxESBtWZxZnVa3xu6rTT8hMQriF9LtaZxo0vPZp9MplMJcqHbMwcxSTl6VxyyNiQFWrp4vLi6E/AyGEq+FqREmSYO1JW0AKSykAPmiy1vrvjEOJvqx2gbDYhjHjDZeM5OCLqAPwIGleU5aqlSWZWM8AlsEeAXrW7O5eUImS5tnjs9KXe+MOir7nnosHAbwpJA18wTAY4AGFz5arRyM1DLe21gioMtY2p2wuOR7+JuZ7p+Js2byL567wBiZtlaDLV0Uol0bEwByDfFc5wGQRKDS+xijW3A+DrDmd/rRtKBRfqPWDi9ITijCsoRMc0HKMGQ6OnbWyNBu/smDM83zT5ncE4/+TtLWRlA7ytNjaSqYp4Y+c/my5qT1xgijLZoym0sWQthsNksgLG9jCknUCAFUrXXHNdbBHEfj2lqoBA/TsBJaoqPjydlCYYLZsGbkkoSM5+b6GcpWKqJhx6ej45OWszTyXZk/xYKU8jGh/IiQWBWyDlQ1SSXdfWlMIqFU9Je3ZCPHB1gXyiaC7BBq5S99SvD8lVInTSg0lhNOlQoWmNmW/MbQZgCysOOnzsodv4fJANaZf5lKzwGrzYrQ1olMr7BaA8H1DhRWy7Rx3A1+wK2J5mKZGFAX2QMhF0NIIjQPNlIME2OqbjgcMLGpXikCXKA0of7HDhipLWjwi9fjA91SGui4t5hy7p5hKNayqZw/E+sOGwApY58h8Bz9KBkKS1BLHYfV2oqXcvZZLvtCoCbR9qzqlceEAqwwuVux/Nk8k5/VIUsYIdyAqTBXK4kAlnpdOTBbSHVYzhK7NJpEFxkmIpazecBew+Qzm4iJmYjqaRx9b76qK+Gp4XYIHWCoiuLdlFLyWkzmGZdN7vq67er/PJ1OHodikII/QeJAttbHaDViS2sF5RdzNVMJs8cS7A2OniMsnx6Qvl6vtRg1/lkXAXieP6YkVDLOUqaZidWXkJ+rlPI7S1QYX0kESPHLlhdiLiLipmsqm+Ah/iCmWQsCVswLTJwiE1UgfqE61xObzT1SsCORC6kZJmYWYkSOCW8PpeoVhkkTHAC4pNAb5tl4Ukt4MpfhZjgWmTK2+LKJdjMSHbBWohAuUuctbUsKXhIocNBMUc/JyOaf+GvFPsqU/2+U5/JxzjhCEZmPk+a9pFIsFw+qLfmQ9QkzPzMJIp0iOaXRPSZIAYS9l1NloOO9ofRY4/7n8Ma5L28quzH9e1mI2gYRspA+StGxJV6WUJWFhgiUhMIuVqN9EnCsmik1o7E5AEZ1VoQ4YxprNH+zWGLp+S1GRg1cNnxo4KNky+DOVKrX8HZmTv8QS/ef5YA8PUirGKNX5Tl5Z5KAgWKl2+3WH4cTB1/VB+Y1igh2wDj1AsjIElgd6GisM4CUbb2GkBhfwCCHdUHPkfoTSR0PXVK+eX8Zfh7vAEnlOqOWS9elXEeSM2VAed6Z4qZC3KIkGq14LpGazjQr5wfBQlkljRPnK+2ds7q+iIXCdr2GKgOrAFvIqpQBZ8IScpFiOfAXItKB7qSjFHsDUlnk8SPeNN9tS89uGClVmG+NBdEgXmvlxphmepWFrG+YWUkoG8VounI8E14N5Z/qKjgeCgzf1Se3ykLx6MI4Fwox2kKQGdW58Mx/5gKhWumLzg611X6H34zsHgf1mZj5qilkRlYIAQcW8j89uWllm+vkNq5iSnNcBjTvTMdhnUDRllDCyTw9JQUDbZpo50FDRdh7zYIG/A4cMTBj3UTG73EzDYuatu+LBVVViSFITiKa/JugXYyWk0gYxZnFgh8Xg7di3jwDJTtWaooHyHLO3kFWSrLJP6xWK99X1ggmKTFR3OkzlJC7TnMSWKQwUtzCBLeApFbdVIgI75FFEmKZRS+pN46bJp9HDzY7yp1cPA0vItvtarPZHI9H00EsZBtVollyuPlmhZwkBFOJBeb68PDgx6pFKvGGtIV8hBJemnuQMg0pgApFRCyI+EzM/1pW0WxZTbJYMM0q0bQ6twRn+3p9U6aSRYdJpD1reClLeagTJzveY11Nj2wfCFY/zsnpgWkJ7MortVoDN7JMVX1TS6S+BI1owHKs2FwAPrO00tWIv9SW2ET1gItM9osbqvCv/ea6lW+fTkOIohJjDJY125hGy5I2691BntJoZiYWnK5yyUsszXaGldDuZVYVwLWS3QFeCLX3zcjVstcU4JLi7R6Px81m41E2P/dOVbsh23gcYpQYNcY+xs40JrNTyjlbEs2mIpqzl5mEPJ48XhVKJt8X4AenORxh1IFDMuWqPdfgVXkAkFtDx+PRl+MZwyIjcs45Jwnaxb4vtkZWDSF0djqlcey6ro9RRVZdJyJ3d3d93weRXE472u12V1dXm83m3bt3oHWG6c3NzePj448//vjy5cvNZnN3d7darVIykXA8DmmuJJqMnb5fm9nxOOScu27l9tE45nHMIhpCZ8nM1JJXSXVPT4dxPIkEB08XV1lFZDoazUrtDIyp4/HohUux9NlzMLJHA2WCigyIbB/ndDrF0JuJ/yciwQNPIiZi2czUQ1QOTFUb0wneK9S4T8ylKpzrNLVoGUDi4H9VzRmdClRVck4hhL7vMnVcZT8XVZSBNhk5OcVSMgoZxHYWay//EEptjqPMB3f6tNIPBd6rkXPkj3i7ooeHByTXUqkYMrPsAi7L6Tg4qWtwGeHGeChcZ6ohxiAiJskkhyidhpxzysOYzMxE85hOx9Pe57ladaoaY7/qV32/FsmnYTidjiIhRj0cTqqx76OK5SwqUTRYzjFG7/PCFkRexLO0FCghl9oI4sPhAK3Pnh1qcEClXdf5yRaNVvBxsAc9lNRtRndxVXUzzzWoWypmKmJTi7xySqxKtEWRvtChhdDAjH4IftyQyuYjVkqqOgwniFgWn35L+T6IzNtDrc5e+23b7dansVqt1uu151Cfnp78tDAcug4p/vXXX0MG55x3u9319bWZvX//vutC10HvTdI8Rm+sLSJZJOQs4wjbPqiKH2kq4sZ22Gw249jZnBpUs6wqKtX5QVi1/3OkdvC+XgTeoEOsWNTgdlwhBNUoYq7ma22cS7WUCwgPcOSgnXazHQpxzAyPt7DmBCQbmwJ4t8mobns+kPI/k5N2esV7wSHLTgVK9hEiu/xgQ7T+2RPJDHbPFsGlhWCdxH0x33ixkHdCRoRZynn2nlgOGlUALJ9NyRCe84rT8usEWhFxrhTR03HwuGEse6PYKLbaomGM8EthBGC/jssUF+XN5MG8MBp8ZJdiji/m6BACS5mZqiAUtL5ELISQra3KA5rPgpvXxn8ZSUDk8ThHsArZaQjB8jxvaAx3sJVSP0Jq34VLzvnx8fHDhw9OND/++ONqtfL2ZV3pLB9CuLq6uri4cAntvP3w8HB3dwcRphRWEJGLiwv0r5AiZM0shKqFipFsxboQ93ElrSR2QVI4/jXXxeCJSicSFXQhT9dQUq53dfGv+JLIKIUQNFQyAhJcKEjvD4YQXDxCysDiUHKcMStV7bo5PWGkVJeV6Y0kAhBgqkAqNURlFIlLVP7DuMCDqZyFCDneRLhyHbXBrJSiSBiT+bn8NFfB8TxDadzDgMo5x+po5jnpwSAlQDnGz/jIsd69zK/AbViCUG4OS4BRyXolUBQCZADHecnpfkPHupGpHMTUaMgQguVWMyiJUkyFl83/9Mv3cQSql1XyMBlnZSVV9yZcDh0nbo/guqliZvf39+/evfNC7Hfv3rlNuN1u1+v1xcXFxcXFZrOBV+L339/fX1xcXF1d+eDuCfrEQIvADYd7EOVZr3uSjzNFNjaXz3yz2bgZb+TcaqkYiPXRyHi2sLclqpI6z10ShyIKA0UTbZHgLAvRYRhiN+9nUdodB2IVUgx+ji2HHvO5KOOSCjGI1SoHF8s4nq3fv16vcQ9EFf+NVFvMZAODUUsuphnfv8cJyM2EhfIeUkRJolPcmvmrnmkiIySvm6ywCztXYKhDaRwc/tD3vffW42FdxWLybNdkKqsTEn/43gEy1e88s5kL8GSMWLGpGY/+eCXAluzR0Af/sxkLRLMckOeHb9xhk6Jv4UlxWq5gIoYQVv0GThmA4juPEK2QotXN7PHx8R/+4R/++Mc/5py9x/D333//4cOHTz75ZLPZXF5eXl1d7XY7PxC66zrv+3s8Ht++fetmsxs7Rr6MJ4N8XTjQGjtcGuEotVwHHwJQbkap6iS1HcsSVYKKiklOUnrfBO00Z8tJYoxiQSyImVgQExH1djlFxEz6TVVCqPQYo4yzcszt3GmRqZB1I/NejB1lgdRMvGWPSKVXwMa5jj7KuYtfAZA2osS1FD/FUgy+Eh7EezGsltJHrdPhPzMxnglE2PIR6AAzC6HSl7gH+/K0tpF5FeD/XOLumAPu7LrOIxgMqEYTK7kmgDzTqlEdvCxar4MfgcdcusdjQMwW+6QAHPOOnEw0WpzqRog0cGdB489yXn15WyODldKcqVyNfE2lwj3GqRSQKwty2auGsjrP9fiXp9Pp7//+7//7f//vf/zjH0MINzc3OeeHh4fj8fjTTz/1fb9er90lccMnxvjFF1/4qj98+BBjfHx8fPPmzcuXL/2cM69/T1Qk4rj0SLabvq7Ah+EIYd+QDoCOVSDsYmRFAwV4Vyht0KTeTsIoaBJwoLMmDYQPvP2VMb5arVAfBB0IJ4Ln3wyLLxvml1rQpHo/XvNssygtEU2mZv+MHpc8Ps8w0l5Tvy1Q5I5lRKaIg5TwJ0sBZkstjZZCKTdn6cnyy8iTAp/jYsHBDNiYLfiJ50DLzCLi7bGF1HwjuXg0dlBYTGDaSk69b/hWsgNcy6JrPftfVmwZW1wd/FUr4hn6Deth6GDNzegItiHH6YN4AFxIajIOlutfSrRQygEQIR/HEwgCiWQHREppv9/v9/t/+Zd/ef/+vZPp6XTyoNRHH33kpz6LCLZiO3x//PFHlxSvXr1CluG777776KOPrq+vX716lXPe7/fI4LiM8J27oKFQ6jsZSg5PWGFYcvF35tLq2bop26at+FZgtv1+7+YGrAOjfRJMQIV6KqwBcbGu2YUfEULINmcNpAhEllZ88b5eINQX0pB48xlTYvJY3tn8xQ2c1wCDKRn5udS8gLD9cY561IBSpn/m20AhNkglJQMwUGskpX1wS4HLvAY5iNm6glTag9LMDV+WcbKqmlhzJ8yZZhpKRiWWH+pjwkBF8ObwPeCAwTPtjBEqL2AZp6ody2AWmUspw8vDkiCuINRDCWG4V3k4HPyGUAcUG2JCms17izFkfUv78TBAyqgOmDY4U0plpE/GTZX1en19fe1h3dPpBHYVUhqx7B4ahuGbb755fHy8vLxcr9e3t7fv37//6KOPPv300y+++OLy8tKllZs2L168SCl5n4fNZuO0slqtLi93Uu+ccoQhBLNarTxN6IbM6XQAdXKAANnTTEWW4J9JRdAJM6AYvyCF2f4S2pLa6JwipCznnPJkWmJzGYddWBmKiEttINfv4dQhCIYpT0i6NeQEwvN/OtdJLeCkeEyN9IT44KAvMxWPAyIEw7PE4XiNFFFrZqHUWzW4YHr2K9dhZjxiRXOwPYXLzQeObqhWYTIG4CQjpLJ9Gg+RJ9awHg+Ix4124aOrPOswq12QZtW8FgzbsdRkWMBPUzKeVU1SNknOwCLiTkrf9/f39y4OirkxtXSAeWnkWqNkDi/1G9y48Ml5XNbMcrbD4dB361xOCA6lx/LpdIpxjtLxtpTNZvPw8HB1dXV9ff3w8KCql5eX3jfHQcYVE2M5I/nVq1eQRKfTabVaffjw4enp6V//9V8TnQo4jqOftbjb7S4vLy8uLrquu7i4ePv27d3dBxdDCCpD2/Np6kaHh3lyvbCNhhBzHg6HQ9/3ZjoMKWcJYepO0ve9Z8pFNCVz+HnZS87pdDoeDicXZBBhu93OxT3OpfClLb2eGGd3gGVHCMFldCjFvoCbSlRR9abL4oxnOeUQZsyqqpmkUt4K0QAdKHXqh0USorBS7JfNZrPb7e7v7zFOKFknvBG6BF42S16XPiGE9XrtnlEuRR+wLzz35AtHVkFVD+VMC1hJLGtYkMWp9KlydrAWZgf0CRiGAbtGHTgo5Fuv12BsMqZiSil288ZFX7irdghT1l48BxYN3BrBORE3wDxPZQdMjBHlSL4QFATwyHhXt3wlC6RGUKkf5CgCTLgoYSc/lR5OzfuYhvjzUuKCzvh7cAjQyRjlqboquLq68jQ25vbw8OD+JBSX21wgKUT1HDdePuOn0KdSf+FFR6fTyc+oV9XdbvfixQuvvrm+vl6tur7vvQjw6urq8vLSx3l6ehrHEWUIsJB9U4J/7wbXbrdz3vC2GNj6oMWidpFUiHiuoAvU4N75Ch3CwEX+5Xa7xYY9QFLmBMS8ORbMwI6DLbza5QVdCku7UdpGYQuhk54Y+7Ywe30hwGlDOUYmuVA88eyEjSz3JbUzPaCuquu64zOv5j5BuSSeUkpdtxEy3BieTLc8K6NuIZi/Rx6MBLdPfKSD66Ru1oMBQW9CEs3O2YCyMJcwYCMTnrv4vVjLXAjo0IxUs8tALx9MTNwPxAwQlJGakvjxUOc1/10a5Yn6/b5fqREozThafIGu61zKvH//3k3Q3W63LjuYMAgqkYZhuLi4YJhCClxdXSFMy/3T/JzAp6cnt4+8U0nXdbvdxm0ZN3PcX0OE2OkVbnMIwasHPb8upUwml557Pg2PVaeUPMbkYPECqlT2f7kr58+6eAolKQarzS0RvxPmJOsAr5cRabPCQin2hkCt9oWBL76zwSbfAG3E0oRfHalbkpAmwz2Yf8M2z1EUL4pZGl6hFcvd9bnjLlHRwHPCiw1/ViQMGbyRQx6NuHGG4sY3iQqjeI0F+MYzB2lJHUPBJIWk3hJijShJ1BGVx+Ev+Z/M6cDvtCG1MZ6lGGyswfCkFknq7CTF/w/1pngld84vdsJ/Xig2S2rgq3peTilFrfb7vWMd7GdlW3rGJq4SOXp4eOBzpsginUxNLzbHZu4Qwm63c+dLS0WcGzjupFjxCGB3XF9fI5+1ZLZXr159+umnr1+/7rrOhZfX7Lj9HMsmA6/0cchAsvtb3MOCQ4caFnddY4we0t7v99jbIUXxBuqGN45jiFXQTepIcz6XSGK4PaelgT7mxiWZNt8IKSr/J8u7ZvxmqLOyoCGtSJvyjEw2KbuuvHKEjQu8nQUcO1yQjwAypoG18Gx5IRCjrrRg/PLESDiO8A0xDUgZFm0MGWZGsCrf2cA21yU2jEo8jomdNVCqI9P5fRz9ynOIK0vOMYDb501TDaFgWvlcFOr/SymjmA8mQwb5LNRYEt3f3282m5cvXz4+Ph6Px8fHx8PhsNlsPArrQQpne+fJ7777DnElJXPDzR8nNXfRrewWc9ZN1NHKShQGNhFW9M033wQq4qAFhq7rPvroo/fvb7HZahiGm5sbn6375F6sHELwDQEivumsL+NI161ytv3+CEXq12o1ncsDKw8aJVAyIkzZMQ+7tM3ilHoMSq1yXAqJBLNspjk76mNBvd/pTGUhTD3rdBEwbnQgEAqjoCsHDNkztbbM+f/xC9al/xPYd6XirnTXzalYttkxCNNeruPZ/E8W1sv5YxUsLwDwRFWdQu3sGIZGrtbZuTU8gtht42qcvWJ9YNNzt2VK3msx5abCWaA5UzYUs5EZhablHVg2NP/Pz5Lh+B+8jSUlT51tGbMzFdM55zdv3gzD8OHDBzPr+3673YYQPvroI9/2/fDw8Pj4aNQVEZlyt8sOh4NvevINY1Ka0XuUywtenfOnXadd51urXeTa4kK1W/O9E/ThcPjXf/3X9+/fi8jNzY27SBcXF+5wbbdb31e13W497r7b7VAN6PD3htWoFYylBvrm5trtGnf0cinTQFs/j+d1U5sVL0eY2Zuz5pGqtAlRs6eTKRgnz1isp+PY9Rm8bdQT4yx5IJFhi5zUklqs9j5+5gNoGyd+sODwHGWsq/sdJt0z/SH5cDGGhlmb29LaCmAWmwBKLQojbRMPpVAectk7sXmfAB52mZOCX2JkUkntcvL9mAwADk43MldZ8rKUb6THLGX4rfB0Mm10VFUfioHY+FOMb6n9c/mPaZvmEVweBGUqkcngH5tluzL/zW9+s16vv//+e6/0/fjjj9fr9Zs3b1ymPD4+Pjw8gMJS6Qjpjx+Px/v7+/fv3z88PKDnPubm+MbWSpdQrvFWq1XXzQ1ueP6R+mYxIodh0ic+K3fI4VuhdNCFzna7vS6XR4J95r5GVBu6YeJ5rpRG5EpSOa8DIYNAqe5hGE6nQ9/3otW2D78z0R7os+QotWJoTE7cn3Mu5ths+YP22HoC3FgEQNbAKFsO9TPChRfll59/oGSwu+QFu+ayYYKBgGEBjUBbAZgamevwyJKM5wHpMBN207rSo5JXIaI5Z5P2qHIXKA18ZCGL2ZJtPB0GF4MxUzChWaD/s6MzLfHUbE5rMQRCSfXx+8pYYRxGs3l3byibxFHXwDKFi7uWk37mUvyd1yAxpZPNvYtancCT9PdeXV29evVqtVq9ffv2s88+e/36tQdfctnR67E9Z0UhenIi8w2W9/f3IuKGz+FweHx8vL+/93CM+1lPT093d3exdEVYrVYxzjJeS2gm0MEyUoqDnJj6fu3pp9Vq9emnnzryHh8fr66u3OZye8qojfP19bUX73g29+XLl69fv95sNq9fv/7ss89evnzpetVF1cPD3dXV1Xa79RHc7fKIg/emdnaNU1MlPR6P2WLfrUWzWIhRYuj7VXx82OeQg5ZzflUsqy34fEmRQmkmV+whhKCdeEcbGcWCiOQkJjZvtgg5aCfB1qut6jGNpsHEgvfuURWVqFOvnDz3yjGzrOieIxasdNXBNz6OqKlEkYwUdaBKkFAOpfEPiOsh3etdAYod5y1GLKUxZ1G1rlt1nfo2d+8Sy3zLzHmWF2B0OME4zeMEYauuqSrPSKlrfeU5tjAfUAmhDGMCtftSywilkI1RBpnlHV+x3s81Tez/9n/+H+jA4jUUbiQj4FSXJ2Ubk1egM2NL3R+EIejNaHSRt+emqlpcsJyzyuTS+7JLVFKRSI6lPZ1nWO7u7pxb9vt9ztnb0w7D4Fzqqevdbuc5IM+7e/yFfT2fgCeSoeEdZB4u9Y2ULm78NlW9vb398OGDR5f9pZ4edmMklk5XXumg1CLLrQ8ROZ1OXTdtS+Md9143gSaMLvVQFRqooQEoJsb48ccfv3379tWrV7vdzismbm5uUppKAW9ubjzoA/vI8e68lEojjmEYch5TspQGMy1dhzQlu7q6eHh4eni4224vQpDjcfBaAaVYCaqlOAjFMYWUkqrF2IcgqlEkm6nfomoiwSz5NyF0IchoIpL9TudnkeB3hiBmOo4nn6dqTGkIofP7fRx/V4w6DAkjmylGy+PJJS9O7ImlS6SQypx5z3y35AQfVfN5+mg+ss/WmzNkrbIrkL8wWNwNh2eay9YZeKk+Jd7jQmJi3PSrYTxKqZSBQvIejFAqToreFwaqDsYEAk+QVmBYTm9ZKb7tqLlynoO2s5BiIWBcLwNHHRYR2wvFrM1aRBR+YvnHZpL/7cqOfiHrprmNJb2HEssHJ0QVmc8zGumMu1j2zmNLtBaPAGE8BwQ6MG42G607LfhKHx8fXVB6uBdS3yMj19fXqb4+fPjw4cOH9+/fu2njQurp6cmtnlh2NrnI8G0BoRxBFWjPa99P+XX4R04lIx2YiSYVvEUwldOsnEb9vV999ZXf5i79zc3N8bhX1e12++rVq9evX/tyPK4cQvAN6Krqq9jtdmYT28DF85YjHjv3mPThcEDjRfSyg9kCWszUUh9XSY0lkSgy91GOcUK0mStPJ8Vg5hsvTafU5kROOTsbWwiT1+80E2P0nvk5s+ukJbiTnTDLmOJSg+fZxBkbM0Qn4kylcY+zk1N+DEFlahg0vT1RrB1ZJytlb/gJlpQH/lA9r6VXoZvVoWziAX2C/3nOInJ1dQVvC+oNIQJAbGny8GLhtUEqhRLD5WCZliK1EIKrRuZuEZl3GGTqeWXlNGsWSCJiljoNIrNvyR+WImYhQQhbCze16Ir2Zr+zK31JG+mAXVtWLFvoIjY7oWk3m40zZ6prz91ScNOjKw3uc87ohoVFOVfc3Ny8fv36/v4eEu10OrmZ8/DwICVa/PT09O7dOzPzcphxHP0AUywhl7S6j+DOP7pPh0VGA0vzhW+3W3/cGfju7g6OoUxp7IPP8O7u7ocffvB0lXfY6fv+1atXH330kYgcj0evXXZJ15eTG730Jue8Wq1++uknD3hbcb/v7+9xtkGDMuZYfBba6+R3AjuhTtMatbBjMgBXQKuDW5b0xtItn8sK+S2Zgkd8fzN44eRKobIwal4NamEix6+Z0sNN7Emo2ZsVWxtJBjCmXyxcGLar1YpTojAqYWU08MyUp+cBbbYwqjQZViEUrhbKoLPY6hJtHhOK2/Hp7kQuyaPXjYhhKDM0eeW8KiHOeU4Y8f1Gfk2DSMTkEO/EEnjwQFkzopjpnx6k8BHcysBtXn3rfwH0nPOLFy+6rru8vAR6con8eamOV9C5lPn44489yZVz9s1QKNk8ncaU0n6/v7+/9z6px+PxeDx6S1AXeYBkw6JCCsBbdrkB5d6W1wpeXMxi6O7uzvNNoVQDevTKVdDLly9vb289TO6VhKEkvx2A33//vSfmvC2jL7DBGjsamBv+gl7ZXgh1fQ0IFDjiJTP3hkVyyih0YmSVsLQCUU1TrRPqSmEIvhlfaqioER8gKVhYaH2+OH5tloa0Ri7BMswfm4H9eyVnpGENwM3/6UZuorPu/APkDgMcgywjHrxSBBmAIJ6q/9SXszdYRHapOkdGwTB4E66cs1n2k4+WEkEXyqShD6YGfM50WIpMYqsaFstjhwhrYJswTMHX+UBVtBfkAAHK1ZoCHC9a48rgUBrN+4WnXJDFUpGI6hv4QSEEd0ncj3v79u0XX3zh4RsPgsC2CiEcDqeU0uPj4+3t7d3dnQeYHx4eQkkzuyPmSWjmFi1Ou+u39/8fwv6s6ZbkuBLF3CNyD990hjpDDSgSBA0kAarbxGvsh/6hetCL7su91jK7kq70P9rajBQJkd0giSJQBdRw6gzftKeMcD14+soVkfvgppWV7bO/3JkRPiwfwsPj3bubmxtHSS9Xdci7uNiAyOM4OsCp6m63OxwOvn/dzLz/ztu3b58/f+57JjyP8+TJE2/Eczwenz9/7hXS33333eFwuLi4eP78+d3dnUYEmqntFnjN/wTTISqQPcBuJy1sJ40sZKVGHCJNgQ8QpFMSlquwOsmS53rmgroZUMhT6D5rW+DD8gbnxePulJtjeWXRl1fbzatRUtD4gKUUT4Fx0d0061K9hQ3m7m/xNBPHYi6f6JoGN9mnhoCInUpMnPnIMMqoNMYRC0Y+rN82VDrpvUZCW8hotDrvGtjHSmfhn5kBeuH1QzRMwWgmXGuFDPhV2qOphVrPA6eUnMxES+z89nGcV75ZaEo0T3DLj/hT6EQBJZf17u7OgwtXXY8pgFxoB5FSur6+9kSJRJ2uxVppzvl4nFbo3cfxRav7+/tnz57t9/sff/zx+++///Dhg7s5zshO2hhDd7vdw8OD5548Ce0o4G4aRM3f6IvlPgXPND08PHz11VeXl5dPnz599uzZ8+fPPaP89OlTrE+Z2fX1tZN0v99j0aFL8a7aI6iVXEhrDZ22TsHZqxOV7lFCBok9fyNrzNBGb5SUUpkboadOVzupbnWhHyFPDXqEhKBSP8mOGh2VeDoQ1EpdruGbqKYyFs8Nldi+D0E1ipWAzoAMI09kqRE8R/4AoIH+pjgNNcXa5ZLO8/ZzV2OoSmnP2YnPE8roxyHGL4AcwPKsxNjCYsgZaDv/FiV7AgZr4LFjNkeJyMhCAkAR91ncuR3jxEgMPlETKYnCc7cVOXbZeASRYr+iC4SngX147g6gxgxq5id4eIS12WyePn368uVL9zh8pez169cAZU8ejePoRYN++c0vX74spbx58+b29tZ3ctp0XtIJ0lZiT62vuzlKSiTpJVYofHbv3r375ptvbm5uXrx44UmoTz/91Ld3e+WOr74N0daIfWmYK7xa27Mi2UNxmqDOgv+vqmNbDAEusGPPOol/SmvAWKnAfVWLD00a1drznhodswZiOqlQNCEPKEF/JYYYiUi/LDonlEWrCiPP3cincLk2iph4tO4eVlqxgvzgkgWgMKRiPECoFJ1oaq2bzQY2D06T6xF4gScPeBYO38lUBY/RxA8aT7j7wPzAm5Bzxp353Ir68mJCGHmb2too5LpLlKL7ko2v5EG+RcTV+PHxMUULEicQHBC4i9CWEgeEZ9rt4vbk2bNnQBP81ZHFgyMXI3crnA6+0uTr6H7Der32s1aQYb28vLy8vJSoDMB+SBF5eHi4vb11PQfNkaV2l+df/uVffCQ5Z8fBZ8+ewJMHMq5Wq/v7+8vLSwcUR1h3djwm8hLBN2/eiIgP6dNPP/3bv/3b169f+8qrFwG+fPny8fFRSI27QAAwjQHndnvBGMdsLWtn/Sptbz3+3MUsGn477Ap8Zyg/bFIokSnV8rGtWmpdTLMRUdyD/CZHA0ZOTaL1aR9AbbMbPDs8Ad63114kSi+6a54WKVF8RpjvOR23W6z/zDWji1nGKMM64kuNiBATLVMkuiZq/1//5/8Lxs1zyFRJbdHaK2ctx1O1uZEHboM0aHvd398P0bEFc+AYBAyeALvMY+CwBQvGHNTktnYGD3eq+WqINxW/vr72RZ/dbpfjGFCNQpUS2wuwxOM+ofs+rodCBx6xQ2QLJ8vIjQdqd3KJ6/7+0ZM4FnugPLHieIRkNpJ5qBvC7nDAEJqoa0Tmh8NB1b799tuc8yeffHJ/f//b3/723bt3qFpAXy6n1fF49CyMw7TDoi/JXVxcfPrpp69fv/aeXr75c7vdXl1dpZS8nMc1ocTecV+QqrV6uJdiXcyVH9Rw+nvdIJPOr9V2k6MPBkjt2z4qtbNIlAk++70nsJhitdbjcb/OQ8p9P3wlw8b8EpGcNpBz5r4LZImuFDkWm0+1IBknlCJ0t8Iol+Si4v0YS5SxIGEKRWMlylml1FJntx2ROOugtBd/g6lhn5q2MR2iSM5FqKqLH8J2i04XzpfO7RqWg+ici0q1QCnJZphtDv92CcMSrniHnR0LuyfAh5f2/N0hDo2D5XFCPz4+cp4ChCu09T5FmZ93yQJO4X6IO3YbgWcpipshtWAGho1JYcygL0aCnsTIMjon3CnAOr1fnlF2FyNFtgj+Dl4K0RcR30XlfSoY/R8f77/88sthGK6urnwJySsy/uVf/sUX2n353Iv0Hh4eLi4uHh8fHaN93/lms3n58uU333zz9ddfv3379uuvv/5v/+2/1Vr/7M/+7D/9p//kBTjsMvjbnz59ejqdHh4eVNXLwxwi2ZNNUVm7FAMQ0GettIQn1AOQFQnJ4BSZghonOpbonSht+3S/R/SMJPP/l1fHfQw4x2oRAsBjGZlT+LyEMLa4nRJJuNUdwNVqQ0omfTfMHAfaGnk3/MDO2p2dIyaIQIlRxvli5JQBLpXczEmp2czy9Mpiy8Y0oEAZDHQJmTxuoAa/vlKCrZvkkiJgG94LUdM2qydkviBwyLCUOLBR2tbzSvskapTVwG/yB6JYrkNYHjy0QtsYobZLKpxrN7OUZqAHACF3EzVs81+FkKtQf/I3b95gvcnvd1fo6uriyZMnnrjdbDbedsd3M3iq2EFHVR8fH738x6sNvXoYLt6XX37pLXX8ZCsPvrbb7c9//vNXr1758z0mdbB2/PLmPu7ROFC6zyKtoiZK03QoczydIMrdn5h9FivBoLMLALCJ0YplrJqJziVqrAsdr5ef+UtoIA8Ab8EFK8U/B44sv8eMLJrPIgzxx4xlLHVaSAUFGE2WoMZyu4Q/aVUPasVQqHS+VTeLsyQamMF8uXxMq3GzM2Jis1jwa/g5/L3DqrVV1R6PnB0ff+Z/suuBb6D/tc1sK/Vnhkp3rnhnGTofT0JWKrU7/SMQg7G1QjBzC8eh8sNF5HA44Rv2lTy4AI9ZbUAKodJEtPV03jmkllK8M6YruS+IXl1d5Zx/8YtfeLgERPM6HQ+2v/rqq3/4h394//69t7n5/vvvN5uNR53+IlU9Ho//8A//sNvtPvvsM28J+Pnnn798+dIpsN/vfYcnYkyHOUgn8xHqJAuU+dgFNeb7IagWDnxKyasQfa0Nfw2vsYiopqnVg7RAIwt8WXIcl6fVE63UCOkwi0SllWBcwL6PAU2lBWwhodXalMYt8QXP6ei5nE6HMvx2fqlfvB4iIfna1hADmIZ8rhMiv7JVS6unEexkei3xnn8OiK3tQno3q24A/IGNAAAIKQltkzuupdqGFdou73WRi2eLXfM9ZkbuAz/n0S5nIeGsdnEsQAoVVgCUlBL64+T2gD7AMYDGXwFhSrHPxbPI/jR/iDfNwdImZAUt+zzVIiKeD3K3yPccuAF48uSJqn777beq+vj4eDqdPLnjKFbiYFNV/fu///uvvvpqvV4/efLkl7/85V/91V89e/ZsvV5713GNTSGncEkQ+bL8KK1ASwsxKB04qwzIv+CHtU1VgkQMH8Ags5LzbO34gqIyNqkqn3HKgyntQXdA9uVjWTW6ydpHIgMW41bkbDUMWnv5yVF/xKDD8sNT6KjafVM+suF56a37z8do8SdkuYduSngKFmiYqT5CJV/Gr9Rm+5cfWNaFYEJaiHGNxGPZyvmCCPsjS9KALhapX8xTaDs8MxWIwOMU8r1ZIKy9lkTjqfkFlEmx8axE4Y97c6vVmn+It8BH47dXyiixWau1egc8qJbN2bgLFxQ4U37/w8NDjgpDH5hvO/B18efPn//n//yfP3z48ObNmw8fPvzsZz979+7djz/++N13343j6H22VPX6+nq32/nG8Xfv3nnx8eeff+77wksp3tfd9dyhDTsSOjp3u23BNf9tx2vMrsvyatQ95SiwxKofjqwf2sa3KSXVpvkJy1KnGtb2qeA78adKK1Zd2mF5AVM4kcFoi1dgjkupYz1igfHrrDPSTUGkgb/lA7vBYEigSaHNSZ1+Kepllhfoztz12TNRcBXaBsmU7XRMKFjgGS4pizkAI2yBtZxwwj0p0qVGoTIGgxVTnhTcAX/UQIfMWRtGGRm3jk8aKWTMWgh08M9EZ5Ww6DCwQhlmskdqqUOZJXZjkJ6m8TUyj1YkDnurtWK5p1uPcIVcrVbPnz/3DZb39/c+tl//+tcicnt7u9lsvO/E+/fvnz17BvP19u3bX/3qV19//fXLly//8i//0hfmvfOWRHLdFsc5+uDBR6j3pHXE7k7e8BPOVmDZUcNRdYrBs+Ml7RDOPkDrrAjzmo0H38kek5EfpAQceClDGCxfpzLde7EK3mrNjHHa7iXObb9h/hUTs/t5hzIsgdJenlFhJfXLI0fWEfXdq/zvdg5NEOR0rPWoqipZtIglker9QdABRJOpZE1VJXuPCOh5peX0pZZODKhTfCR0QjiTw+h4ikrL4Uid+Pe8oMi832w2ZqVWqXV02uY8iLjTNLpwpjSoGvwOpQixIzqECRPpHA1ZwEduq7MKtXQFX3XRBUqi3gEnnKR2/1umDRMjtcurdUIl9yawauaLSsiSVNqw69j04cOHy8vL58+fX19f39/f11r/5m/+5uXLl//2b/92f39/PB69/87t7W2K5sd+Tp6qvnjx4vb29ic/+cnPfvYzPz7YA7SB2nrWqDbCfBO5sTP1Wt8T6lejzhUhlfPdfSjUyOncBnCWPdKiifbcrabrRyNp/v6s0nYowH5xrVMPA+hXp64aFogBqJMu/8wQQ8NIwzBoNauaslhVy2ZVU1LSzWpVJZlKFrVaxDv7RP+dalVtunPqxTP/X0o3WgygUC0+Yz3yUww9cwFISglte5xDjoteWoIMbkpDLXYs49TpQ7KZno5lvd6WctKUc1aRNI7HUquqqRbgK6srozXMjohYnbPluJ+XpUFij+l8rZTDB414RNvIzj/f3r4XrUmHYZVyWqWsVqtJGcdjyjLkVcoipialjKXWOgxrYAdDfoqtVV5lZ2aeOl2tNgjBGOBynnIlqjoM2UxOp/F0OnmzBZu993mXpjsgjBrr9VqkunOapq1rkrNuNitVr5WQ9Xq1Xg/RZ0RLmc5jenh4kNjaXmivjUTGyoFsoJPekEI2s6dPnz4+Pv7Jn/zJF1984ajx448//va3v/2v//W/Pj4+qurNzc3V1ZWfCfPmzZv7+/tvv/0WWr3ZbC4uLnz3A8AlR5V5KcXzxJAE6CqEx2c0RP+dzWbjQaLHffBZLE53AABBvFGrAuGptZ6qqVnOtso5DyuROo51PJ6228vJGpnTagrnszQGH4pklJ6wCNvNrFQR89OptJRa4min4+lYNWyk5AHHUYqJVj8mpJQyjn4K2GY6Cj1skmoys2rlMDoQ6HQ2eRo0pSp1vd7Uk5RSxmIiqlVUTWrdDCsRFUm1oPB9SGkw01pKrabV0srxO5sVk/n4pxxbYbx+CrY8xdo26wVXOU190nybH2iktELMcWatNWnT/0UkiZh3pXYUjl6kalYdU1X7TffS1sLwX9m4Yaz4EsMAdmjkEaVNRGFPudElcaKwSalVVEepE6oOK0dlE3EjJposaR/o4hWJ0h/YB+zuHr1u7rcKxwFFVsgdaOte+otg6jlzdDqdcm4ow/ZEwiWRWPJA0YSRk6+UTj5rWpnO7heM4/jb3/5WVf3AmZyzb9r2TfA//PDDmzdvfN1aVb1L8el0+v777//u7/7ucDh8+eWXOWcsmUMtMX62BIgog7lzjGNU+F/pmKf9fs80SZHaz1TFjhmBNUDqPNVn2um0t6n6wQ8GSKqm2iymQB60dfwhA7BzE0ruj2AfNAv1B6wRGhE3e+gsePw5CKKWTERF+v8fj8dx9EIHTUlzDo9vdPfc9bRSHx/zRlyuv7WqSPGTc9wdhgjBHeHxg6dh/Cbhd6s2aCymSBs5d7yZXfePZLLc9sJpXGahOoFmqrXxxfmc9nKZwC9kSf1aMi/44XIpwzCYNC1sLYxbyz/gV7+1jIfhf4KEDcPgkT4egtuQlsLDQSvWf7wIZFxwoTnHB+kAng5kgjUKj01UC9f91WIFXah4B37ZMAwXFxde15tz3m63vi3766+//td//dc//OEPj4+PJbb4e+Olr776arvd3tzcOMp4owyMUAjXfIFcqCwIsqEUVrAow8+Fm+M7P/FkIRszxJEjTAf38MGIEx0xzA9heesgwMivOXspGWwIBtaeOqXAo6DPQKtuUrifY+ruYiLjKrSjUsmcsMzTN6WTqNwWsmtYLIyQocPxqNY6IEpiiWRdwhNtccguX2dXvP7IBfKxhqhqGZXVht+YzmUNIT3axk1nGW++9iR92agRsHZQxc/k5yAvYFEjB5nAUPn5UFqJcruOpEoGrZuC622JvY58M7jO40FckKinGXjaERx8B7iw4ZLYgPvpp5+6QmKXhvfBevLkyevXrx0j3r175+fSODv8WIUPHz7c3997QOR1Peyd4S1xYu/cXDGm3/AFFys5mOLLWCAyRKVE93jQFq8YqC8U+3el9KZoAtxzDwE6+1XokJOUV4xNbOqFMAWzyNE9I1P9LnikhGudwHQXwLpG98KJ4KTmftXF2cFQLrPKeoqnGWWXWWLxf5dw0HZA9QQb1Ro94mt7BHfOWcp57AROd1oqZNVx6blNBsBFpDOUEjFca8iKASp0CSfuDCizaklKqdr53u6dQ9TJMSsebCAPL0LLJpxhtrFis1FlgrBIgYstZlV+QorOWLDJ/MDaLl4wqJ0lpkRir1JrEnjInPiosWq72Wy8QObTTz/1vsh+8MP79+9zzre3t/5M3x6FBF+nZimyhsuVFG3LsoCAidYcsZ/Axbh7uH/j6Wc8HNritcg19tn6D905xQXxMLN0zivveF1jScvMtqsNYwQjV/cEvwBDblSwS75bw7LFCTPd1b0LQpjlo5sYpLU6mLvGqiuLB6xRN34QtsRWLI0OqRU+JyttB2MTEn8EZbB7ioFpmlvoDjPjLN2V9ryypgFlOBjx+XP1Ucczo0jSpphfaq3V+oCuUu6pmxc7t3ga/1P6La3Nn1jsQNU2Qjy/ssioCmuT0tykFigjbZUEAhxpUZhpIgtPG+9CV0CoLkbosuVC4juz3anxQhvfpG7TiStH70rx7bffnk6nFy9eeE2wH7qgbRbfaeXxDpIyM83DpKfISQuBOAAC+TvwQgjCNNakQHwjc1gW+2ztXO2sUSDJNGR+4TaewtJdZYhcSiwQytunQTFZHli85dzlTGS31GfkDZx45J14YPoppZw9Mj3fE6cbvLaGrdBGs8E3ELKJUyrQZP3/I1MSkc1m464ycLeU4obdu2Dw83lW/L2ZuYfcsfYsw8CSmYIf6agus4vUIBdoBwryT2KQPdj7/z27bBSyxrwSjwHDdgXgfUasCd3/mdP+eZkOUFpKMzOvdsMiLg7k1Y8bXr6YsJ07gJ94tmW9XqOPxOl0ev/+ve+91tgV6WO+uLh4//79Z599JiK+9uSbm2CTE51sKSLohtFHnQGsiQo73ffxPA7yMilOg7RAdmu7EHTCzC8CUoiIb9RABwkmmlIVVaeojC8MNEao6qPywXR2DkznO7v7M1WZwfDUj+RljGCUxUDb1+GvzPEa7VCGwfvFNBN0NrEuKGe7Y0MslvYGL5pwMwL4QSCwHM3Z+fjlfRVgBkNeTURwXgxfINk8/xbOMHrwCQJqTeg4R16V+vIyS+hpzTNBHajxcppdIJajlA5LpB3K+PkYnIPU2A+Vqfk5hopZSJtlTLTPc6RTZVKabekQrbNU1VfEfTUd0qAUxjOtPgapShtHu3S773JypwyHbeec379/f3l56bsTPPk6RDPAcRw///zzJ0+eeHGwy9w4zlv7OjxNlETEmKUtGsJPKq0xeS7G80S73U5aHfPHAjW61yEvyevfFxcXXosIHOwE0sKksZxIaycgk+wIwNNnMTO6gCmQHCzV8838Wzl3YcB8m5kJtYhi07UcuUvCOI4YoFAqENKrFPcwwflp+r/9f/6LmwIsM2kcDOCk974EftrZ1dXVZpgOTi1t1yjfZWdmOO7DzLzazZfcQV94Oh1RfKDr1SVPlVEDnOAfeqGq0sLWGOfPAw4oQqm1Vk2ND7mEfGhpSimnDSYrdGAbToP1BJZnRlTVz65m1PCBYUsUhIxVhX/iY1itVl4ar6o4mq6UgqngTtD26dOnKaW3b98+Pj56fQqLDs/OzLAYZNRnH2a/xG7vHLVLOMfHzPzccbTR8M4yL1++9CUkZ9bV1ZW7J/6Nl95gTzzoXymFwczC52MZnb8ePjDXhJjqQ3WPya/aHmwEsdH2Gtrjt8F3aRENDNqu1ka+kpCzXOJQLdZDzSvvW4q6M5hAlPN4lYPLUonW1Bq95VKUTblRQaWPP6rUUyfk7CudQZ/YN8eD17bVNxxGf2TKs1XAY6FfFk1tOgBikR7wb7aueF+hylRmcCWnukaDAsgHfj5hP4EIbEhuNxmwxJwhDa3kdfaZnZHOHzG64km22WwmSkc9iHPLfX5WeNe9Mh7xECWnqVsIgw+Z8+DPxPAyFRl+bL7aelUS3aEZGvyecTyCJjzg3BbO66K2qLNsHEGw8Rzbk4KtjUPxTMiAr2f7ASzI2riVKnHSNniaaFWO6Zlof5mRk6Wt2e/WTcAUDBLnuvB8KyWqmAh+ldiLYAH6HcSQ8MwuEss/5FNp/woGqcFcJW9RydLw2KRVfn5vatNJPH2miZD3tBQ2EbFz+bhuLkR//6YRAwlU6uQNfnr3zBllJJaiO4QGgmg4b2j/zZRyw8goA8FSVRFlcLWF+8D0ZaTgkZg1Dghmgtch3FPKrlmLmyKWUhJtQiQap7B4+TdlPPE4+Ycsgha+LtezC9lkt/zdizDfDjKM0pwdyvBg+FF6rgNLJ0CYVKLaEyGMw/2pzTVWOjbPp4nmh44y7qHA89UoCMQPc9TLJTrM1+YejJlBRxhirLL9gxnvJqWxi4fVmONra6LaGQggaRAYII60WGMt4PIARARtWI2sl5lt8qqDNsaF5fhZ4BlEWPwgBjlngEEnjfKxaxHUVAoJ/RZ/fs55Egqdu4hhSD5BFhgJLVi+fWDugtClFF67YvUA+yGLnffI33hzE87LAGvgJcGoTly0OY7lOWAXll+sxiAW+wVca0BOgZ1OJ4+Y/E5k75ek0RbdliKLCkah8gpwItHVCffZt7Dm+HO6HTo8/c5YpXalqfP5GUSYPp1QdiMHkSu1GXTv3U+JqtHxy2thvGmhv8iXjaFvQgBn4VpLi7C8dsOS5pNCKhEo4zAHXqTIJXfcxHTQc0MXKI/5gkRL0ME/+eedYuPykMdidYL1QloQYc3C+IWAj1WDXwehqjYBU6WFyEQnC7GYiUgtzXxBBDACQ9LIYwrVnbB4GK2EMqOZJpMkGzljLK8aOctutqWtlcbFY5V5AdhH2bv3Fk3zlcyI/zWneUiQobNc4csogd+pNMOHqpRSlCrZMS8PgMESUNPqvEsA1KyRJ+rcVIvtNswMXtLrWC4tUksbUXoAwrPT6GwAuuFdmeoX2APCwGSxyN0R079J5L37ZL3ZFUYokXWGzHnWwEfrh9sBFDSWVxIt9quqJymYv4kiOBYMI2PTXYm2z7CQwMwi3d7hbPcKDW9fyAouJEeNvCFbRC6+uCbUkd7nfmrND8tY9/+la9N9xpAgHimlx11/LMEkt4SzzGVtz11iR6aj//xDwhcJ99xTSEAZpGn8ZN7upQPG3aFMjdQD5HjKNh3nDFyhZg4gInigqtNoSYDAHt9hiEiHucuUBd7ht/jrUuw6EbQWU2fRTHOwYOSbNMyYnZG+ebVQfMQv8oH59rbUHpPkocTZYYNctU1esD+Cl1aqWBHaRArXg6HKyExB/YxWrxikmBR4eInCMF85KtRAHgPzXLvPnaPmQq1VrC04BHqOcbq5ELwqxfyFiowKlXfziTc+TtCEV69YeTpsBYsr1dHwOIWQZckvfjLUjH8IaLNxzNHHnqkNrmn4jH4bEhRGNsAoUBICBachrwYuVUlayLDU+LYsY8yv0D4TEU1NWI33wvJxrRMfxoIhDWwb+Vm+t40Jp2HzHfhrrTgi00WQicIwLJRrrJQ7gB/UvRo/NDLFAAVt4RZaxKJgratJtJbuNgxgUdje3Ab5g8hCV7vhJcrtsWoxF5cDEAI41jEOff2DJz5yNDwXSjBDwtjZwaIYkxra0omgEJRbazb9VFx/IGAIwIQ2/S5kEqjB1Dsr9OA7SOrfwID57mT2+DSq76HY3AGLmZKpkji1p6+CTXBhOredtZQ/Q87PctnCU8MzlWJtsMPMvIKE8zjMGl2AHV98P48EJOogSQjoO9P1MbGUyT5ZKaU74wHCCZtk5Nnxc6Ay8xoTT0lEHE26meNzohyeE27ZfNB/Mo5jyiIE9j4mFF+AE5MyxPYRIUyFDgvhbkdB/qd9JAvlJXMq3gHHrKqIeK+cnFZTxw0tZTSTYlWrzQ5wpxWdFELCvFMEA5bGdW48/ZkHYCGLAvOYaYIFMtfzSjlOPB9rn9OSWfRA4MFjeFBIJffYX4rqBDdcEJXVanVxceF9APb7PZqZGsXUZ6XIyItk9MFIpgHLvAWMXS3Mgs0ypsnq5N9479GlFPlt2DwBUeRxMj1Lm2CWcGY9USW0L38cx8N40jqnkyrt2wAyGrVq/YjQnskHwQINcSl1/O4Uvp2C2jk94ufL3HdFxnHMMq8Y4GkogIQT6hMsbd+ZSWZyVJdZOMD+ssvLSzi0NdYIPHmBZkh+Ptk4jl4RYGHTEHXj5zXOUYa37OcuonRVIzbe70YIChjZrSkIxc++Ac/TjUujrXSFZJtWU/X/J5GkmlTUTGuxWotITWkY8uCtLVySzWQcEcEmVVHNtZZabRjyMGTV6ZzzWiYGD8OQh2xiYsWq+H9ipGPFSqmb7Ro9E2BtXEw5aMKMVqu1n6Pi+uCNR83s7u7OUwNsYTxlXmk1zc5VhTC5HCz8NAIz8xo/b46X4xQUeA1mtj8d7x4fHg/TIVDVahlLPdTNZmNJq0kRE5WUk5mdxpLXqyJmtahqWg06ZDMrZjmlquJ9JnzukpPVamVqr6VxBpBFQtqZXqaWPXHmV9WUdBzH42EchmG73eigx+OxFvH/VLKq5pRVtBY5jfMJNkAZLzFlIYTCrFYr8S0qFvKQE2441aK1DDb4+AcZyjjBHCfywR2AIyrU3DAjEHa+eB9lrxVwOiOY2F6sa9QlAgK0PURByAre73feu6OUamZDHkRkjGy6S/cwIMdXU01mc5bWY+fLy8sPHz6A5tBud3h9AIhLqnd+YPwDCnLOjG2ptmcmQDrdnUFzE4jjMAxjafawOaihAybk3h/rPOjc1xQ1o7jwal7o0TMh0jxImV2MyWaLiJfqivj/fQuCW071EQ3D2sghxPO9pwnExWV9tVpZnXfB4r05dgliGEBVL+fDFIDsl5eXQH+lakZmE6ZWY9sRwLREj2G2KpBpMBQPAX/hOLBPjvDHf4IN5bXWYTVvRsHNSlvnIV0ACF2ke5UCBCHTig9sYHAnPrAtrVWAhiwPnWDwz/l1/H9+y/zl2PdCrCG3GjV+ns+qdJx8bcsmkEjioBJzAU/ZNvCdKTJ3HzuQU6K8lkWCMwPWlmJqa4p4GBbZX75qnAtWaOc65E0oWvRnzjHR0luDW9jNkBnGd/qXXqgaitQsmLG4ZKrK87+WtgNLJ+Ifo2a31xaDRGhgVD2covrLWkfdH9VJdlBqfoK0WoSw3507l5txcawChBXa3gEoxyaIZZYqB/PCeAHjhh43QijDFxMTaZ2OqqxabszhV2K/skaiYRKj0LdKSyQYA0QZcFMpfw8BNfKnOl6wPoMRRiGVBDK6pRVLCKa613X0tDZR2gBH/IoFkqGKH6IxWeTLim+tUlHVQVfwLjHOEpUi2tahgMt+ISSpteI0VB5PZy2YlbWtzauRnfAjlStldlDhpXQFCzSl5GvELMnuJcAiIuDwHobMI5eWwVoTBwvjJ11kKtCeokraByGU76xRAe3nn5Y4GbbUuU4BoL5erwutrrPW+bEK/GUnZ9JilufYOcG2lFT+VQeRrJnMJAg0InYIPV4HDWSe1dKv2rAN0cggYqNTHlKhU3RV1atRUGCWYjncqzAuL7c8r9quvGKckGzIrrYYyhd/wykhSLxrhZFXBWNzGE8ggpHNxxj4jcDf5Zj5Az+EGdTdzAYTmpPJ++Y1uG54goyv9NpVF52bmVDs0+FLyBjAnX+Fb5CkxwIZs8x5jcdymAaTlqOqaJ7+uXHKwu5KC68Wlri2hfvd1MyKOxraOoPIYPADmbydL9Lsve6uRPsjakQHaqh8dYGwnFVES3G0ElW3t8WsGGG8hXFzVEbcy8zz13azhe/dfd8hjpK9wm081aWadYjT/VwW5g4X7JVjKyaYUtJIVHmIh78CxJlVNTZAGTW+9pfivGEokssl9oIDm3yE2+0W7gmzj+WSsWOJNZgye6+V9hkZeRy4AZq5FLWOuUItuDvp/CPj6TiOmxnX8HwlfAf0SItr0miRmcz1kFhvstZnZwkZonEywCgFc8dxPBym81hWq5X5AQOFZ9lAJA8mUUQspL1YHOB958ilYoLLqzuSXKJ6qBMn+JuJkrs02roZVj57YJOE/ENO4LF64kxbJ8uJNuAfSFwzz1h7U0paZ8+/UhXc9fW1b73B5lcnh+0KQhVrV0n5LTNy1/l7PWeuuw+5XcRV8phYCvE0KOEsZ208bJTl8fCCb4N44U7fl4if12L39/ePj4+e3l6v116Az46xR9RO7cNx70jk25qxE2e9Xh8OB/dfvBcBejv4wJY9RzARzK7zsXnKbLtYCTNtHPdvHE+hXXid/z+vV1CMTqUtjDA4zhDTCXSioLv7qxDKCGkgC7QTdr1eJ526r6U2yk5to4lOltgn6sQJF9OQSZGkaXbjhielJElrrWVsBimBgKXtWILLjVONPQpQYKUgPdOetbEcmWj4kNoNk/AYXEkBEJUCVcydiF/NLNH3gJVCNUrgoHsPTDF/RXMfNEEWHhemauQD+wcfMY77YdaqqksnFupcfP3ED2abENIxa6X1RJbXQD39GHGQcGW1KZQ06WiqFFlARlPb9gEjNLP1eu17jqH8Ni0QFC9jk1hFtmjUtt/vPWfs+OvcSnnqOKvk2EMlWK/qtItyj4YPmXpo73Y73AyKQZLOxgsdSTWSskgfSPT67zQQSpWoVghfMjzhHkg8oEFaN4E/d7IuhAiMQd2oHLvFEvY0L6WIJTleOvuPPNPaZrJAxqq1A9MaeyCEYL2UIjY/h8MfidUAnkv3HAAWZMDFDEMt0c+wwxf8s5wrqJEomDS6NJLWTJlYZxDws3tdplJpWLsSW09Lu9ugOY+JLdhZ1FfVLqjQ8Mz9TEKjylHf/LJaT4cKevm5ZxzQNID9gumbkhIVdLCgQI55AMjv8kRq7AAoVOdeqG6wE2hr8NtYBw6HuWt6opjcAry9OdNut/Ng+3g4ednIlAweRwcXP6r5w4cPp9PJe0E5Nj15euP3uzPsTg1Eyh8yrRnv98fjcbudOw8g76Cq2FOe2sQBJgX6MGaBpEoBjsVSsVDCzvFxDhNC4Eq7Xwyvy7Q9hUUIQM8sNrJhS450ErjEC4xqtVpZVXcG66JFDqPkLL2L5T8hRwDih2HgZtC5Rl87hCTTmmNOiKNhy7vBYEigFbahJtqeIhERww45kuacUz6PMrxM3mExogqmG/yD1CR61MYidKIAno/cK7wk/+dA3f7BoMFHX6iSz//gRwhC5ni1Pw+6Wk+m2Mxy1px1HMfpaBEbzUzU/Oga7/+yXq89FgA0KFlarLo5UZxbRjsYMEMMEmgl4TEJGe0c/Ts8OnWWeA2IVxak2Dztjh9ug0ywOl1eXrqGX1xcOGpcXV35Ya9v3771ltqIE9+/++Dbc1+8ePHkyZPj8fjmzZvb29vdbnd7e3t7e6uq19fXV1dXInI6naoVf5Qf9np1dfX555//6Z/+6ZMnT2Af9vv96XS6uLh48uSJh75eQoLGOk4oEAESZlH9ZbS1Cq5Tibptv01E0MnFfTQHUFVFIzsLqzsDSurXa5bGk9ekcIINs3IYBvfkIeV4CFQCv3J33X1nvw1B2X6/V8m53Zxh0QBliCZ4XLMOPWE9dM8/R40YvIzT6VTT1NrC/4pGNuHWTR5BzlnSNDaWZMCWDwBo6BG0l0FJuBX+Fscsi/qpQjst/I0Mu/jQdVN3Fo/j6HRjM2lm3vfH6dw2YLPten087d0Z5waMbheZbhqBC/AFjJhOlqgUnrGsQEDj64r1BYs8jq/ypI/E+d0D8c8O13EJ+fN+VaQA2t1MEu7fUrhh6HgwoGxtT5gyKoVyfnv4GtvwMlq9OOKo6uFw+O67796+ffvtt9++e/fO73TxXa82fv/vf/97EXl8fPzw4cN+v/dnOsYNdLJaHpKjzMPDgw/gX//1X1+9enVzc1Oo3uzy8vLVq1en0+m77/5wcXFxfX292WwcGrDTj02Fz/dwOLgVgYxaeOyVyhn4YgcT36BARlpfgAm7ZDfiTZaKQvubhOCpNaENbE2RCm0I4Mcyr0UkLRwWvwZqMouMuKqij3Un7UwflqshDXAQpntoynirmak0E89RqQypTlQXVimH2GrcRApPjfHPHXDXeW6r0I0fAs+zkNaTYjIyHeLDXG8hbVqNacj86oDGHztwtRu/skON4MGZFTJW++5RSjlwnhLEHW+Zf94G/z5QbsbVeGKRM+9e2g3J4uo8IxYguFe4IjRVb1jnUuJnJ3799dd///d/f3t7+/bt27u7O8fZaYdRGqDtHjO6im63W7elFs0fjfwLr9MXET+H5Mcff3Tvya2uqq5WK/eAVqv8ySefvHz50gsfNpvN8+fPnz9/vtvtPFUkdHIY+2igZI0SPiZOxz5wxx3j2vb0Y4msC30G4/KiawzYmigbKoQabI1xc43SUsgDlilIMpsnsESxMhQqRYNuV8qzwG4xGiplZwbNcAmnQSqvGJzPXkPsMXf2C/CW3LaRZfrA5OCbOmWgm6QHLvgN0AUgBbgJLtR2Y5TMgDINm+GJB8wsk/AEl18O/ANpbQv/Cf6LJPOT6JSqaTqfgmcL6exgi70VfntXWwypwmJwjQvo0Akx85VZVaNzgoRY4wkehviiMjydNDX3ndqSOsCdTqcff/zxV7/61T/90z9BUr3X7NOnT6+vr+9u70Gu1WqFNC36K1tbdnk47r2O0dvWelw5DIO3a5EwwmZ2d3d3d3e32z08efLk5ubGqfH06dOf/vSnx+Px4eHh1atXL1++zDn7Ovr19fWTJ0/cRUI2xEMtn0vn9ynZKKFVCY83WW2YwowLnSCBfbVdVci0s6S2iTl+JuSnLLaMwuGC+MHM+hola4KGba+0Aj3rYUgrgNgvvKK26WqYn1BysdAuVRWq9+3mgi8BatBev5Yr00o5BCYmBoPcFu7nDx2npM2FSWvjuf9OmtcuDeLBVOqmZuRMVcrNYRgDoyNfTAIGAielL3HRaypbLJ7w0m3Bl0uU8TdAcPml2BKW2iU67OKDXerEnR+OMfNMIX/IZmkTJyb4KZ6n+O6777766itntp/i6slvibJuDB55E8cpM0NWyIP/lNJpPErbgAoN0xzakBDxIE5EvLm3A+L19fVut3vz5o2Z8flqvoEj5+y7BJFut8WKY4cynYwCkjohmW+r58Mo4FoHJR3ToXsgnZBhE9oVibdzVIihzks2lrpXLLmPAZtZimNAOlTCPezp1FqLNSt3qmoiJars+DkSGstC2I0B5cJc+oRX+9M41OLxxJ7Vnnf+W65Qsdbu4gOoh392l8hsEVlflGC04xcyMPhTSmlu3tMNCLPCCELsslnlxTAJleg42k3bH4LclZ0zXHg1Y0GKxRdWYFCcvQMEhEZbRUEF8KzGcnWNLaRwyLE9AlxHbbH/8OHh4e3bt/v9frPZuLZfXl4+efLEN+/d3d151yslK+SBz83NDVqoMVkuLi6wQueXBzhPnjwBQoFztdYXL174gH2P6G63++abb968eXN5efndd9/9+7//+yeffOJOjYgcDofr62sMA+kVx0RoC8hltNhfqA+2tjbKyHbZwqDxPzWcR3bOIQZGVoEfy8pQo0YBIl4ji8xyj885rYR0Bp8hD3BSxG27ns9PSYsykJmxjpzhSimZzsvGRoP3V+rQ55v84nO1gTIaSQDoFxSV9RFfikzNX7ox8w+N1sU6xeQHYktUB7JGFoW5zMOzdiMh5zR82LMj0C2wd6Nh5GMHGN8zNPAoM22ZYRlCCLZ8FAZQI23JBZecY8d4gC94Pp7MfpNQRMAzEjq5BRjhv3p42Hlrfk/Rf/jw4f37956tcPjwtWevuyul1Biwtsda3d7eYniMiduLjcc4Hii5P+VPG6Jjg+Osr5H5JjtHQy/b85DNjy754Ycffv/73z979uyzzz777LPPnj59+vr1a18rdKjy7QulbTHFkgSJ4dUTXwPqxLST7E4KhZpp1TovGpR2B8NSNqRFHKNVP6zcD9SThHWARYj/ZFQOA8pPw5P/g+nwk1NK5dRsIh2GoYphXQa/TO4jpXSqza5Fna11gt5hPHCZAQ3gDkCtQxxWBL54540uagU6VLXFvsKIDMbN0PQtPosGLDZwYJWy7EOly87t0bTWnUZgonQ4UTfuJXAuJSlR/sw+7rEDZbxeA0u2ADX2X5iCXPXU4ZdSltf/6UDuwMF45CyX8APHcfTkiDu6Xq2bUvIcrYhst1tfZM1pOI3HcRxLHfe7w27/mDSv1sNmvc1Dsiqn8Tieiia5u7vzdAwSW4hoAIgOcGZ2Oh02mw08O3Ax5/zjjz86Nt3d3X377ffff//94+P+pz/9k/V6/fz5c28akHO+ubkZhsGPbWI5gwgmapDuNPQfopWvEJRo6zl3fASRRSQNOetcs58ozcEc5//DiUBTAuiD47KQ8s/vtUYa8cHtgUYuGd6rncuksDhhnCmlLLq3E77xwahQMyNOZYom0W4/GmiFrXx4hefmIL28gQ6GUCmb438dKIbAzUaNyhviLC7MtAuKnURmZbtad/uYlGIRfqNRlqBj9DAejuv12pLuj1PjRR3UrKpI0qnmbTyN4+Goqus8iFbV7LuNzKSUWkqfhwssrBCLGlVe/o2nJ5YioqpW5xLb2q62KmXmMSX3AsY4r8vBy6MMt/+V6nFqre5pYyc3AMu/8b+CcKfT6enTm1onq77ZrL788ovvvvvDd9/9IaVkVlKSnNUrrVV1tcrHcnx3+04sDas0nurj7t6qbi/WF9urV69ffPr688ur7ePD/se3P7x/d7vbP9zcXHkZnh82oqp3d3fv379fr9f39/cfPryrUSvsK1b39/c5T1mq1WqDsxy320tfw7q6unm4f7y9vf+n/98//+EPf/jLv/zLzz///Gc/+5mfITuOY63y5Mmz0+lHEW+/NNXCeD3I5eW21uq9flMcbue8g+hwlcTFelMpq6ohW6cy7g57T2lttxtTdY6uVqvxcDwejg7TQxwRdxgPlU6nrWYimnPWIcyeVdGUs6aUcso1NvqamY0FS11evwN9mA2hVpOimvKgax1Q369FailVK068KmOxVLLq4JtLxmK1arUhJ8uac94fD7mMwzAMeRjrtIvVC7LUJqSe6l92j6s8HSiqTVPOfDweh6QiolJTktVmJSLldHBkXw8p6+p4PB6PJyxHDmkzpFVWszqamZ8WZuPUM7CWImarnE1TKaXUkkWzqFSzsYjbj5wP4wk6xeiQorkKEjoppdVqO55GnF+WKNHm1T2+vQYLl9YeAJ8i/ziX5/NT/D64LTXS6adTXa1Wov16sLRBPrNZWo+m+1X3VzNTySVOz/IneKqiWyHjX6VFglCpUgtETFGlxuugcHmQBe8ua69hGJ48efL69euvv/4agfQwDL42NI7jsBoeHx/v7z/4Xy8vLz/94tPPP//8888/v7m5efbsmSPj7e0X9/f3x+PxydW1hz85Z0/Z7vf7h4eHb7755vHx0ev9fJx+8vTLl5+U6Pjt618llDPnnDSnnDabKZN9d3v/d3/3d19//fX9/f1f//Vfv3jx4nA4+F6E6+trFjIAd21XQLRbYVxQpqu3UlUpUms9jXM1oKDjDLVuqrE2hydXasrBA5M2BPYRuj1wVkJ6U0qH8bQUMzPzYutK21wnC1enYMqoJNVz8JXWueEy59hJxI6kxtmHGkFAxu7ZNjOIWaTU5Gtm+Q9eYAqZmgrB40ixVIe1obSoqEZQwgIMJwBjM9ojjt9GyO8OWTVKqvjlXe5AMY08KWtujcXNGbc4iSC0duMEdWx2qw6UAe3wUI60Oxex430HNBZO+Go1bxv1ZWCvdkPldV2sJYGasmjTD4cohdeXKE3FMS0Pzyi5wJjrrtCrV6/+/M//3HM0j4+Pnp1BFuP2x3vHdV/YfvHixU9/+tMvv/zy5ubGa6BTSqWUZ8+eOd5tV2v4U64nzpsvv/wSi0r+k91ut9vtbm/f73Y7Tw/d3T34zgYzOx7HYRgutpeXl5fu4ExbxjW/e/fuN7/5zc3NjW/dvLq66oiPXKxFVhLxMqid2+IXSFtXwaA6HamHlREwxe8WTUOsWwEiGU2Ym6qNY8KPQiEPcNBdhlMtrLEYKlI5LDYppVpGay2WxD4j1l48kMNAJBm6FWWjHfOObp0K1EV9GY/BJQ0lvxJePAwn38+6A0JhqMwpCU2H4wmVB7/wK8x6HMfOqwBVa9Sgj9GSkRMOfrkZmEt6GIl5cDma5tdaSzkt4/kOMs8Srrt0Ec/j/3y6GIbL9OpILLGVSdszSYB6FrUMGtmW1C6us4nA8PD8HGXgEsL9/PlzVb26uvr6669/85vf/PDDD4+PjyLiOnxxcXFzc/P69evXr197YcurV69evHjBcfJ6vfYdBmZWjlP+BW9xJPLaXwv32ynjtb+Pj4+3t7cfPnz48OHOC4trrW/evDUzZ7NHIi5PnsL43e9+dzqd7u/vf/azn33yySdeZp5oTybYdzyeQAGLnQeVevFBrGEblS4zK2Jmtt5uZtxBotes1KI6cQSbepmVCMcAbfCqeMAuvuw7d/rmV5dusCiEB1gcypmlCciJhJMLF4aPmqrt8lyHFJAxpeRros0r3bA7Ya7t+aUIu/BwLEuxDGPNlFey8eqUUpHJK9G2lppznTbbcrNacYaBkn8AgUHRvH/pSw3sKNVap81dUEt2aKFa9E3JOQtJGC7AGJMPvqiRB4jXdyjj1/39PSbP6TF8hiRB0JcAgZEA1MGhdpvGfMm5Cz9k1+ni4kJVnz17tt1uRcQTKGbmrsov/k9/fXV19eTJk8vLSwfoq6urzWbjDXT1I2WEnQK7svloYfD9rz/96U99Dft0Oj087D58+OAnWH/4cPfu3btv//Ddu3fvvHGvW9GHhwdVPRwOv/nNbzwdZmaXl5dPnz6VSNCyhWDiQEs/Rh8mdZpzhMbIjkn5DeU0ljolX/F2tm3dk5npLDxI8yXK67HAMHlxv78x00angU6A6TgCXrD0YpoglISPgPuVNnCeFU4jP6v7gEgQAjyhQ/R+1PYcNC/XMrITNUqlhZQXQjWOc1+nNBe49/s58Pny4sJkXhIFtnqzOmT0pjYvbbc2iZ3cczk8YhMRyTm7Lkms58c1rtdrkwJfERdDJljbyQ2T+4+Ib6fb7EJ38qfhv2A8LCvwbCFYjoY8ts5DZmnAYGrbfERVfVH5Jz/5yeXl5Z//+Z97tYvHTb/467/ebreXl5cp2rC7kis52yBpKUXKTEkuUVmCtcetXl/jEHY6lYeHB9+3Vor9/ve/z2l4eHjA1iq0Lnx8fHz//v0333zz5MkTx0ffIJdoicfHELVec6mBUPjMqsW4wH/1VRsf1aSTWPdNqaZsY3NINn5eaEthpfba+BLAVylQYiEUEbU5nOdRgZL8uZRysd7wpFg+2SoANQbqNMKsFKoSDrSd81nWFnBhGKw4/g2cR1CDp6DR/LzSeisjRZrXXhoDBl1gTcFEcs6e7IeiRbraSimel4FUpCinAnFKNBjFfCEbfg08bU67YtkMg3ZnNqVUbS7+w/w5/wr9lDYfzFdHBbD56uqKp9RRuXuFX8jm5miXVWv1hDF0tVKuh6UZ4rvML+CHkLBE+xtyzldXV56m0Sh1w2HYkEiNHNj19XVeHNhWa7Wx+EK4P9+hYbvd3t7eYu4a7thqtcKW4mEYap0WejebjUj64osvxlMREc8cOzeHkuHT3t7e+saIcRx/8pOfoMVEi6EJ2oKQLVFTEiGFZ45A8zXNHUYmaeM8iBQ0B+CsmUUC2ElhlDrFw/m9Sx/Zn3+qfSmQRg4Odpjlh1GSFRIayOLhnzFIFED4XmeGM361kffNA2N5w4XlPAie3+yeKZ6TFpldfj5kid/LUOiPnct8aOMC5M1/uN/vNQ6KS7TXwWMXlyVkoAFznZIOAzXpYxb6qvZi6NlosynTkd02zDPFiZZ8Ade0tR4SboInIJQ6wnvX4k4szou4qg8J+4aEUoYwfeAiIqmPXfD1lDC30FHzTigvY7m4uHjY72qt9/f3NUpUfQnp/v4e2V8h8PI9tWN7Crj/ENIglN1MSSx2G9QqvmDviPPJJ59sNxceDX3zzTfff//97e3t4bjPOT979uzFixc//vjjDz/88E//9E9m5tmlFGv5Ooe6s2Rba/zP8hHiiKuqpJTE5riPdfvx8XEzTEl99PTydHWivSNKO4bwdqAA890le6CTalmSwfpMZ2ykCMmHYahj4Zfivey8+OBTtBMq0YcA8nk8Hp88eeID43Svyz8Dykylj8g/W2umre8UAVJIaB+QonPnoe1Mqw6MkNlRbZgFgnsoBF8Gki8iWBXlKbBRZ19hWoXFEN24eeGWV6OCf2Z2Oo0D7ezOsVvS1bVSH8yljELO8HqgQJQA2YSd7Tp0il05zCdoOJpdYnouTN4H01ep2HnZ7/dD9JeqkW11jxEc6tiPBRF0WvAyHDdl7sIcj0cHFHZ8UlTiQCFznFKKfdLbq2scLQT/00XTb+Y2eg8PD2bTOSqqejic/FGPj4/ed3mz3n755ZeeXc45Pz4+3j/cvX79ehiGH3/88eLi4rPPPvv2229//etfP3/+/G//9m+vrq7ev3+fUvrkk09SSvv93qucaixbDnGcmPDOnZC5SiXjs5x5bJoTyihExIlgYfydd8g31UgOQqKcxe7GgyMsUVCVRN3OsdlV21RRjS7xEJJZSseS6URdqB80lmHFFQQVDC5FOeebmxucV4VUmr8X/XdLbG1PEXYlWnzA61yxvRy0xBlnMLG6yEXCDYFbAaiytujMqZG1WRrT8MVYdIE1OefH+4er6wt3ot341Vp9aRXLdpeXlzXWmyAPYEqtdWANVMoXONUw1uB0E2gsEWSppSwTjDLwwBNl41JKh/1HE3iMxEAWzMrIr+bqVYgUoC3R5nelUyMg5cx7O+c6uUA721Bo40WAF/VC2pSkX7C3QrY0xYZjbIyEJUE3T1DJJs9xdu+9DC+AL7scrFYrX9jycptvfj86K1X1eDy6+3A8Hr///vt37949ffrUnwzwRdd35injCCtqoS2RTJ9SitUCSBqxquB5rrEwhDns4nNHOuALv0JC+Ut0aYAVXV9sMQzYeV8bYusK9Kk6eweMZZAxrC6lRX7QKCQZo1GktUdZnVUKn05ptxf5NVBTsSH27p3d3sHkYiERWrFmQJw8EW3GgweOi7Nhzcz7STG0MSPYqbdFLsZo2Wvg1V/+m1A7P5uDoLl0p7t5SYIlcbXtstP9StvU/ZIBDBa4E+M3ysyv12uXKqzk8zNZS+FMdWxjM9txxS9XXa70T7HwiYfgCbVtsi0EQ4CGgbbnGq0sJsogdqTOcbZkSmm12ohI0uSlOu63m9lpPP7www/OSk/oeEz6/v3729tbb8DsTW2GYXC3nF/X6TZPyo22L7SxyZnQWWeXvgRrSim+z6DGdiQoA3xvJpG0ppUHw0t1QCWjNF+J42gQ6QilbzSSCBK4oORBO+oVKplBZM1WjWVGKDA0qqzpZI8HWWkPB7wAbDdxMXYCwuR385U2P8UGEgzKtN/1dDql1dBpJf66/F4I6fwtUDeBOaG3s5LiaeqHHzEXcROWqaSJA/sj3xjY+NG4EmVwWXx5wa99RdPyxijUBCNhuJSK6zB4tHQRggmweaS2b0P04mSs7ASaBZcnwjIHzM45F6udesBVrnTAAwSxRPozRXLEF7xcUPiNTF7/Juc5BcgSE5maOo7jbv/4/fff73Y7r9DxDIgLcaFjwHyjhqs6TM6SDviMeSGw70ikbbtZoGopRanTmoQas+cIgqQ2NdOhDNRb2501iFUt3PAUC4UstBP6Bx0SpXuYPhhMJ04sG9pu4GRzxXxhGcP92u7Y6H6ulPcUupQuxHcALxE5HA4QTgR9pZS0mvWLB4zpt0OdtnxDCDmpz8rSTRbP1FgUG4B8RjGe38paVGutVYdhEG28IybQkqD8V6CsRF0AzxOI2KFMx06msj8hxaoNA9lZrjB7pFWnHP1ZjWA0UXeu7r0cb1vbgKOTNrDQqFKWqQTh6GSFVQ6weDr1fVtsCg20lKJ5XhxZr9dPnjz59NNPPUHjhtHTVZ6K9tDJT01e0eHqPqoOZbDrT8j181wAEAFEcxJoGDBAqj9nlTJqxir19GPSsatb42IlRJ6FuQmAUEri1jjYDPf4D6e00Wpeu2E+IlcIemI6TH/AZWqPneApLIVZWtBkBMdqI8uAO90dic7KOa4SLRaFasQQd2sLuKxx/H8RSSYiTTWN/4mjewxYqZslz3QqgmQVFSrXYUamlESslKKp34UBNWCWd9NeEgjvYltRxmbNr+NBO5jpnylqXnjmLDdK4at7OgAUF7UStZIAQSUkZn7wnyodz5JisSbL7C1LrG5gsoxuIAwvz2FeKfpIszuZcz4eDUm7QjsDJkul03lgoIkvV/t+KE+H16gc9fY0vjS23CKsZEiWzE1xgLxHIu09oqrH8YRk9hjaWGgJkqfMjBNCZ2k30/Gf2Hdu6NneDOXPVFyHSdVFlTkwkfmFH+Y44URbF9LoyGAheK2xRNDJpEReCV5wB6MQUcgALD3rEfOrY1asSKYS+7ZcREerHW0lIqYOZVTVB2tt2qWTECWvzdpT8ZC1mXcYcIDn1MFeZ+wEMyvjOOZFpyxtV+YYFFj+OJRQMv74J5jB/OvIx8/vBGKIU1aXFMFDHIwguBB6vxNghJ+kRV0G/4khzL9f0a7LswLBACQiFi+F3+tjg7WHEPvbS9RZ+vD9vTlns6nzlj8f23xKKZeXl36sAla4Sim73c4RFtttmOAdg0AQbVevU1upENQ4471OSh62F56RUtQjrcIzGfkGztBLRBz4JzwmBixIP6MAO1+djCUqukWyJlGPwbQomIadVjJCPItOqhngoDvsErJqKCUKmRr4LcQGf+UuX0pWthNI6EvH5bjNmdasDlnrubPn1ZkK/GrAbJnQ7kt7UQZobWa1llprsiaEY8VbisjHbA4GyiBda1U503OP7+Q/WQt2OfaAaBtx8P2FTt4EA/iHPLAa8XNtc1pKTf/AP9fqzWq+H0BmH/Fsa61CZeyVmvjxrCsldJwGKQ0pWSknSKrqdCiwiAxxJEg1b+ZweYozKiVWEzyICOMxE622+YtOdjHyRCeumhXfouQWSiSrOmHFLInUrKrJhpRqrUPONk4LwyhLZ+VnHbNpOd/FuqjmlCS4JyLVTEVqmEypta4v5pN/YAOYuUJ5HzMTm12ekRp3OTJijviVtJamk0aNNIS2dncp0hgbfwO3DpH7Eh20vaCh0vZO9woVLIfrVIly0mE+CbNTH2mV1PHBxpOJqWRNIpbUu8Ko1SIm5t18xJKoWZ2Xa0EKx+g5KeNT6tINXofqdkCisZPvMGCAdNcO6Wh4ehqbMDtmYIa5LYrLOXt/GaH6RdTFyDlkAS+h0vAsWH8YcXFciSc+sSCK8XgnF4tNLjkOLRrpKAVZ4OakcmNZrVaah8PhYNXWeVrDSprMTEWTSbKplOt0Ol1eXh+Po6pvpVGf+nq9HcfqO+b9PavVZDy328txHI/HXUppGKaFpFrL6bSfQphyWq0HUTsc97vd7ne/+9033/zu8vLy6ury9vb2cNjV0/yncAAAi/JJREFUOqra1dXF9fXldrvebFabzWocj/v9/uLiggElUf3o4XCABoLv4zhaMk9gqFrKg6rUUsbxpGZ1rKp5sxrM1KSq1SFpSmlMNaVhtV5Pa2px2JCoimqdjgFQFVGRcTyaFLEkWkXURGpVE0tJTcSqaBL3iKyqWdMajWPAgfpbsyiOY4F/5Owu0f7ZXXh2Zr0qCraqWzfEP3F6EdpNYN0d9Ow62EKAIZBGPoiPFqm0lJIv7SHFC2aN4+jndvl+wJSSO1/YcKttrUaNagNYUwi2/3Oz3pZyKsWs2jCsVmllpmbldCrr1UokHY/70/GYs+a8Wg0b1bnFnUXv1wGTYZ3nEACfDW6FmJGL4RfHQYz6vAbR2UZpHQ3/f04N7nQQbhTLwNZJG/S6Mjg6YCWrtC0gAEyYF4RJaatIoh20s7elKlFmxnLQzYWhDZRhBeZMAVMA01nSSuc80eya+j273e7m5saParM4pGW32+33j1gwdgA9nU7b7fYXv/jFn/zJn7x48cIf7pCnUXPM7l6NshE5E9HAEa4i6s2nVD3MdF9PvFeWTyilmUSd0ZMFapuZ12vY9DmJmIiaFDHVJGIq3mApmapKMjFL2hRDQTBqXEJ2W0TSYn0nRT4utVtklNLwnXAK7eGGrgLpQEOla2kvWVSWd0JaMp06LyJuWvBDYI2Fcw2l87kMeqaPEuMLTIhrzaDJH69T4zr3Klzf3aVMZuPpVI/HsZTTzc0NxgMiDN2i6SQ7tXq7yW40tV3wg5ZWnEC+cLo6Us5ocq4rFY9PCEqE7CpEk/8KoiDoAD9S1L/gTqgQC5BS/UKK6kym+3J2+GeizEJZVFumj0TpKO0/S4cueQQnArPmcMzMttvtxcVFimzf8Xj8wx/+8Otf//rbb7+tke4dhmG/3+92uydPnjx//pw3MaSUvHYZEAMS4QZpkRS/VYr4oAkgjrQKXOv8fYnaPF/hWrJexPIw2MKHtbaagV+kZEj4JwxqrMCJTlASgtGuToRf3ckza420KMNwg4f7/7v2g/hToR0teIjrF0r1gDJY8fBXgEfYsC7ttttO+VmSMUL80326mvs8o1/s19M5Qs12Cox/YIrDXLO2MPzXacdwv5FUWisHxcOflgafFy9Zu6QVZUaBswCEE1phrDRWQMB4Zgaehp90oJOoSFdapOvGz7NmdQL4GhmxTkahzL4zoKPD2blr+FDMJtx2c3OTcx7HcbfbnU4n77b3L//yL7e3773pr5ltNhtvhfPs2bNa64cPH7x6XWP1LdOhKB2pE2UQ6P/VxFQbXw++AMbMeF3rvKpYFrslmUpmJr6Gqo2eM7XNFtRbOL/+z65CZ5YliqmZZSzAuLm0W2rPjkqoRwxrBPMdw2DP2gnl0Rbf5qMq0ZQam2YsiqeFMALOu5tJv0cWueflmNmAaZvWxPcwn0pFAznn9Xrt1aGn07Db7SDbcPynDj1YbcUIQFAjkPNFjc6nww1LbbRzvgmIaGT9Zl0lxuH+pVeFq1ItAwxCinJP34rlB6pVOgOYH45/snuJP0GZMUJoHWMHfqtk39i2dzwm/6hRFZ6XtBWufg/OUdI2BPMtP96q6u3bt2/fvn3z5k0p5erq6vLyUkR2u50z+ubm5ssvv3z27BnCqBqJuTHOjWIFBkN5nEGNMxzBBOF74wnOKOC4u11KcQ0/wT+M44jDTFghG2RpGHp+ZQeHTCw5KxTvsHvor0MlgV/IKjAEQJmlhbPuLTzBRBc/nx1hPApYDGGrFL+zmmC0DB/KEUAblWM8merOpXWvjKqHwDsvE8cyecTpB/dCMAX/+YAm0kowr22rrjSfXe8T6tPdQuonBJCgL9bhhLAZ9OKn1bYjKfS5U8IOWTq8Az+MfByMzdrquyUgGi00JsrX4C1Ga0Yd1yFYidpwJNo5JeGOLqGHp2Zt8k/II+jyTf5bz87u9/vvv//+N7/5zXfffffw8LBara6uLmqtj4+P9/f3vn78/Pnzzz///NNPPz0cDu7LYOc+il/Yo2F7y0Sbhimm4WvwaPlX+FJVV6vB2uVPaAtTIP6vtVR0t+5QBlzD51qrSF2+1CKRL63ZMPI48P/OpHV874aBkWAfUKKssEVWVVuMhmhBwPBAV7REJ3Cy8LCYSVsQwKYRKoYfwm0Umb3LRLF8ihRkN0clWGAdhIqNdNaCLwExovpt82YNHijmr2SLZg7JGZdSqaqScYE9MZ4AZ8X4aZXW/428WdzZSmHj/XaMRDigOh9YAVDQNscp5F9gSN06K6QHUIgfYnge0Wh7ZeokgOGFrDT+AISG56KBp5A/dDYBYu73+2+++ebbb7/97rvv3rx54+1pfCXCj9z2GV1fX79+/frly5e+jRhZOVX1je8sqSC+xiI3bgjqSVKpdT7zG5rQSSpmMS2xUw2YRRGttJerRMoZ/U2Yy2ehpGMlSy8kkCU2pZSTSpuhWyIgBAN2lx+OD5CTGqmGLtnEIsoujP/JjQf2W0EXQHknnd+A1SvU71jsxtI2CZjaRmVCNS9Cio8vycsWoW5V2poEBxQPl8zQYnWOOlEyqqqDF5gn6s/kNyE1WKmxkC/Om8wnB32MiBqmD9VQDEAppZE66CiZkbE9G3f+vr1/iSxMKVX1g0c8XPRedhq96UGpzlUBtsJByDn7OdMWiS4QCjWdnRBDLoXA2lN3DGE8QZ4po0zHe2Ai1AAoU0p5//79r371q3/+538+Ho9oMJ5z9qOXcs7Pnj3zRnmvX79++vSpA5DniX3Z3rEYZ8WAxX5NrI+RYzgpRUe1YC4qAzrZ8AtdxKyNLs9ih4jmlODL8M05Oo2wIrkWdZeFmYUQ8ltymnYhcOI/pUZbJEIqRhZIuA90u91WytML1SVhJCyxQrUXGv6pR5HWZkhhBjjn4vUlvmIINcQs3FMube24j63PusXFa+eJQrMxqkBz9NaBYUvUOTeClZJogyimPAA+oUIpNoNC0zQWpP370zg7SD4fFx0uPMGFFV+kfjx3jTUpo/jFIr61Nl6osdvFwbvGWYX+KA07wzURaHfAxTtcXIAnd4z3z+iKUqLby8XFBRJpQ3usSqVg3rc4C4WQTl4fdqVAOtBtXp3B7k3fXuQ2Hyfq1mjQ587/fr/3jOC33377+9///rvvvvv+++8tqir2+73vJyjFhmG4u7tLKb169eqv/uqvXr169fbt2/V67YrhPR/cLvkpLqAbFunMem+iTqF4saRmzcZcpw9v4eOs393dHeNIpnM4x2i7w9w5lnFYTa2kunIEo4qYFDUvpzLxDisyQudkds/JOZdx/jyOo7dMvry8BMSwlHreCvhSI3fmGdmgiWXqZOJ7UFP0MwJtO7yWNq+PIaVIpQOSfEYPDw8+BrejJXZvwVA5HxM1PJzooE147m93EHGKuS77cTr+cLR88lVIf683Y9Qom3LXZrUaAEOs4/0yFZw0FimSsBnIUeAoZIgaq9KuOFrrrHaqCHEcq/B78StwRRfRRGdV/Fqv5xNIKmWIAYgsKLaozbXwsLxyD/IBczFQj3gjvwMjYaOXUnKDAJHFX33NhfEOFgzIWOm4bt/54SfDvXv37vvvv//tb3/7hz/8wTci+ZT9DDlH5Nvb28fHx5TSy5cv/TRbb0ADvrDNkVjBdSkZ6TQvpqHMrsGY1yt+iH8w8hYh+kHVFbvM8MuYgHiI8zHlCZVYlqCinbyZSaV1w05a2GEHkBk5qhr+ZqL4CN+j+KB7LGS1myzuwXvx10Q1L/xDAIqeq7fCLCAnGA9rRIpiPKW0i0u4pbm4nKXRIrnBp7n71lbcM9IZVR318KiUkuhMtwlljBzXSjsv8TOlTIRFWwN2HCrFnyxVLAesV34nJxqNdutznqJSeFnJPbYIgzmHyq+QKCswyoFhPEBSJc95iS/+Abu/clsDwvc72+BzsuiAIBBiaQERt7EAiYifiMamxtcLT6fTjz/++M0337x58+bHH390F+bu7u7Zs2fX19eXl5cwv4+Pj2/fvi3lNI7j69evf/nLX/785z+/urrabrdPnz71ElKeC0QNBLcITHAPnAgItH9/liz8T9KWoQsKlEIhbdMfItW72Ru51QwTeXHqE1SIx5MoUGUsE4Ih0JlRvtPDDkmFcjEj9eJjRGPlYhRI7Z4AicQfo8bHBIa/gWnB8xP104Fu5miUUWQGBeZmihoxTy9geOs81+4b1VLCKzTyPUucC5zi8l8NtY1UcRMziWWo1mrk0cBB4sQY/zBRMG+E2VzRbLMHbr6PCUTEB+cZDBR+ldt6MAyszudhnmocJyThPAPaMGzOujHQ+NqNkTEf6KROo4tleikZrFFs1ryY0ihsTJHdSJHozVHBeDwe7+/v//3f//2f//mf379/7zmX1Wr16tUriWz38Xh8fHz0AyofHh5evvxks9n8/Oc//8UvfvHFF1+4peLGcXi7EOSl2OKEln1j9AYEXpuZ1/W6XiwN41IeWC0Tra2AVokuRxlVrbVf8utkiXUPMITZpdgcxFgGIffwE7LEiYYOcAEutuhwJJQZ0DDyfiHEUMrpYCLa+vJKGMoqUCm28AuuN/YGsb4oHf2OXLsj0anObSGZa8h7+J6AHFtteGy4jE6Pw3RqnQ6znkqxSeynOnoNf6/zG7U3Vuoog4u9LxYpI3PxsYtFFk+wat09zGl+uEXNsbXeB2MQgKxTA2kBhZ/cAQ2kB1lAoBUPT8nTZuHQNqUPohEGTZEtsmMWC2TuMILf9/f3Dw8PjjJfffWVN21wlm23W++26Ui92+0eHh6GYfjiiy/+/M//7MmTJ3/yJ3/y/PnzHDURDw8PHglCJUBw6J7/NS/2r1vY8KDkeRav2lPi4e2WUvFk/NUopuhoVUopdS6nBkAYuYoYjJnlPHD6OUWsKoSADAd8op62uVK2CkaOMLxaaQ0wwwd/w4Rlqp6lGxMZpIbfLQtDePYJFikV/6ZGPVSt1WiTB2txZxp5dvyi7gZGbf5nh3qDkPGUhZHh54JY1Srkho0GCweEgCWYb4Bt5FRZSulUrCNoN0nAhJH56m5m0kBtOAfJ4FXiFKSOfyAZZ2T8m0LFXTxUvFHaDtXWVvGxtrg7AMr7w/3EXn+pd7Hb7Xa3t7d3d3dfffXVN9984xWWONXXk1yepfOZXl1dPX/+/LPPPvuf/qf/89XVlTcb9yjJ+2PD/ZRWppmAFhlQ7FblKeScU5IiZtGQnKmBKAb8Cg42J6WyoCNPb/NCb0kmlZYd4cwaGYYOCDh0dRVFTNGNrdYqeQBUca6Xe99BcoQKoDolz9EeWBdLxTWSxDwL9Ffu9ELbzEM3hqUKsI+Dn4xxcgvz0f/vnVtZ+AtV+WMMYzRax0xhBpiG3SAnqYg82uz+p0gLIQ9fqJiHRcTMVG21WpXZckw0wq4fI+8GFGdm4FeV4l6lXEa8qLmYE7WNuo1sGr+If4g5F6rLws8r5Xc6oJFoUyaEGksgM7pgdlgrzkJSuI1TIgDbGtxhub6+rrUej8cff/zxxx9/vLu72+12h8Pht7/97eFw2G63WLnwIAgqmlLyc1FevXr19OlTP8CARdxXsnyrQQfNHCNwmJAWezvjZi3jidn6MbLgh93eaKBDjo4HddHlE4P3UXVxk0QqWgi+EfuwV8I3AD0HnUxdJzPYny1khpdLqDw7FlFQA56IX9TBoy4lmR0lbT19hhgeQKZ94chOjHHeBscZ3SA7+S9xFhvQAJ9BFlZM6B0zOu6c06YTMZlnYLCv2PGsbDIOdRgGG5vziTnuFQICWAxVVcmazKqKFKtqUpIOKWnSQbSW0aoVP0ZdNTNFWPSXVFaKdTv5xs01iogsFpWFPJQl0Tu0ApNqrCMCs7oX+VVKwUZkjCpRVQ4++MMHOjQDq7mPj49XV1elnO7u7r766t9+/etf//DDD55M2W4vfRFaVff7vZ9ZISJe6eupmRcvXvziF794/fp1SskXmPwnbkJPpxPCGUYZBM61jmZa6+j9XHJem5XTaTQrZmpWRJKqpTSoeuHvzBe4pdZe4NFq5WsoUuvoXWlEkohHvqWUVKu3+BTfBJzUvKc99LNjUG2zZhIY4XN0ohU60ZWxoJTi1ECWwCWZSNEcVYY/4SHWxr+QgUpLbHWxxxgg3mk+dIdlWyLkZIUHcGCokDd/uPutADLgRW3zsHAyXOs9wEyx9WS1WllpioDgsmG/lRHcu8lUMbFUrYynKlpzWun/8l/+b6vVyntWuW0spWw2G18ZdQGVqD7IWXP2LvTTEj1Sg9vt1p3AqaYGhQ/i4XdyxSzl5BKmms2KJzfN9Hjcj2MVkYuLi6UCSJwYzakspymflzzQ6e4SxZTSVljCGKbIoiMfjDwIAxkcDVTrWJz2C1Bns69q3g8F9t+HPQxrcKWUKWCETEdty+n+/v7u7u5wOAzD8N//+z/97nff3N6+f/funR93raqbzQUg0us7vMnIz3/+888+++zm5ma9Xr9+/drPV6q15vWKwU7pMqpvdvwdhmG9Hko5mWnOulptROrpVI7H/TCsUxLnmqODY9DHLlg5OCCZjl51nBrHejodhmF9cbE5HE6n02G93qYk+/1RpG42F2ZlHasE7K0k6sfMUm5mSdeMPhoh5NINgVwxgkCeOTKCGkOuUnv8k5MapwZDvV2zUqxeMZoIuWCwx6UUVMOy/evgFYDuZgP6wpHgdrsd4xhSIXgaNvM5bbg0QqRaq3sYflDyOI6n/QHKwrBYY0Omi98QJ3BsNhu3H26rRKpImvdkg8S1bV7XGm1xy8VgbGZ+9mONDgOJqlTG0b3feVXCzaDzywVSVXJeicxZ/bMXcx3TxnslIN//iWoloyCLbRTPC2KEm/E93s6GS9taBtIBz4aqqE3d3+nnOHl2vZ4KNw+Hgy9OO60Oh/0f/vCHr7/++u7u7ptvfvfu3btSyna73V6stxdTy16V1f39/YcPH9yYXFxcfPHFFy9evPjpT3/qzRxSSr4/24V+u7pk+cAFK+3Mcs1ZrxH5llpTKb6V0fWzlmIihXSg1trv52RmddoC1UUY4gkdz/Cqeoqhiky9aUSqmaGX6EBnbHFnA7xu+v+5pCpjxPJit7+2aeZuFhK7UiHhgAlkW7G4I216pVIGl+nDCKJtvkPJncGyIE+q1ureQGn7RSQ60xKJfGtDOUYxRlgOQc5SkmWeCesfvAIjCKspDSm0faI1V0ZiQIX2YoTF7oNJ/j9QRibZmmNskBIDZeKmOCSE38WU1TZ+hrnoXFalJqnwTrXt2sc/gZyB5d1LIX8gCzgEoMEPPVvBfPWfzM3K3KREUxUvt0sp7Xa73//+63/8x3/86quvHh8fRarngEspYznl2MG83z2WUm5ubp48eeLVd69evfrss89ev359eXnpj/K64d1u5w4wWIMZwRdzsheqLsdtrBiQPHgHKXZaLAXRrxKdTxP1crfY8CKL0qrU5jshIXJO7TslaVjWrgbwPWfHiYlb7NVA9MQvwsV1T51U89owxKZba+t+AmlM7UoIs4DkqlnT8Z97rXmlHRKJ+tdkqt4e6ZASJmClVADQs1AHLOAgKKkLFx7TQTUgQEDRkVNI1Y2Mf8d1mUp6Gsqy+EpbELFkEnOLhQA/Yc+W/wRcSJTKsmj5J7QXFpxTgjDcz3zqgKYbLf+TgcaiKAOZHQKgMgyDppBsOtzydDo5yw+Hw+Pjo7c6Xa1WviA9juM333zzj//4//0f/+N/vHv3TkSGIfk9KSU7Tn3/xnH89ttvX7x48Wd/9me//OUvb25uvLXF06dPQYHtdnt5eekbLDabze540Lbjf2ovi3pwM0vJU62zCEJiwFxE5vJxiyeURhGCY42tKqwwZoYyfKEdNz62IWe/ASvNORqk8jVb6XYY/K6zVykFmwZqG5R1U/N/+s2dYAjtV4IwSPja1joRcKghhFBjNs+dtuM5PCpbuCdAGeyGYTQppQzD3MYY7/LRjnSgikSOYtAm0b6EGy6US9G8gdXQvFce97lhW82qGApca62ijfeRaBMz6AWF9405IArzTNs4RcMHWV6V8tX8NIseq4k6hDNgIwOPX9U2LwOZAHtAoA6J+CH4J8vEPBGxydQXgZR4qkWnpYo6juPd3R2KcX744Yd/+qd/+uqrf3MAqrWeTkfQ8HQ6+Sq1t9385JNPPv30U8/CeNjvx10L+bES9dll98hyrJTjZBRm+ww1gFnOUWIL/U9tcdDyYsjArxwoWRsh5b57XmhZJFF1LHOkAw5Myv95OjababvxnBWtSlufWeDlHDyB6UsBBvKyrBp5wULY2smYBRBzMMg3A3FYuWqtvvtJyG3xH2JBBpPqIKATXX91iVO6QRnJqbu5oyekRSIeWpJrPsOg0KZV19jOSUuxHyyL8nPBHtwDQpSp30RXhza/vtPhThQ6rcb/2TeBbQHeAapYYWyBdB2InPW8GLb5h3CqoYehpVpKSQvrnlJarTY+vM1ms9mk/X7/ww8//P73v7+4uPjw4cNXX3319ddfe9vUlNJut3v58hOv3318fHz/4W1K6cmTJ+v1+i//4uevX7/+8ssvvQQGLQGvr6+xwdIPw3ZHmrWiQxPAsScsU0rDkCot1nS8SLF+JGT2l3ro10BZ20qutcae2zGOjmcxg1QgXXo8HBLtArPonAR543mp6ul4NHLjWWw+drEedvTpBIYlIVFkJLRdE8W4Oc4mNzLejLm6qE2TiDgAypiIhqevEbGCFBKWAMhY280WiQ6cONW+0xNEFB/AaKwxndWCDgEqLaWxCJnZnO8B7vrTfUe5RIBtzSWYTIm9fKRpTeYlnUsOsukABTupXfKYR6AR24MTTh1YjCW+MOh0SqKtAwzyddKJcQKFISVB37abep0TNx6/1Frv7+/v7m5vb29/+OGHt2/fnk6n77///u3btymly8sbN0Ge0ru/v3eZu7m5ef78+Z//+Z9/+umnV5dPX758+eLFC7/H79/v99fX1xcXF4fDwXfr+nhOp1PKfdWWhK3D5jd4fHWqTOsNNX6eowB/CUPdVWhrG2gLO5+jBUeKowKQrWRfRsPzYv3ni3+CqXW32SLBxxccEKEN4rWtqDpLQKHgnXO9Fn6NP8oj+uXb67l9UpBbxk2NRJ7/MMVaauf+GwUEwE2jHCJIwXAJ+Wf8QgS9Wq2O4x7P6WYBg2SLk20ZZURkPjq+0n6/YRiQ02ZPL6jQLDMvkUwIRyzNGSwjgzbS2Td4Wj7XdxYP7ARII5oQsiQWOTwYedBxoG7e7H9JuHLgVofc/F5mfCcf+H6WnjR/f3t7++zZMxF58+bNv/3bVz/++OPxeBzH8e3bt+/fv1+tVi9evDArb968Gcfx6dOn+/2jiDx//vzVq1fbi/XNzc0XX3zx8uXLJzef3NzcDMPw8PDgUViOzIVPCkcRTHVui0UXH62DFPsa3skBMNpNUFotsjaPsLz4nDnO2d/f34vIer32NXh2UvBGIZTxzo8WrUhTbLCCWAK84gn9ycXSGuHu6sRv6fBLixEgF+SqUscmkTlG5ocDMvCBrVGjkG1Qw+/yREmKNcFK1aSgAya79Mt8YMNmPg3OyH6gDM+R0fN6Q3uEYUcKVhPgbDd+H5X+b/+v/9Ui/8fr/+7LZCr/z3k6c0t09scgbezO8aDF+gbmnSPHmm+xQoRhgIv7/T7FZeRGOSCKyGazGeJAxRRFbpkKQP23KMxbCmKh3auFOgDxnRiDozBELcRrTMmLyMTMapEUtTCPj/v1ev3NN9/8/d///ddf//7Dhw/v3r17fHy8vLy8uLhwglxfX4qIuzC3t++//PLLv/mbv/nyyy/HclTVTz755MmTJ1b7vd0aa0Ze1Ofq7Scr7XY7P329Q0aJtQmcHBShuG/GPXNMKPxZlnsmSzcebLRDfxzXDbQfxqNcDPb7vadmfHuqVxiqqrVGssN0JsU0vJIQO8D45dij3LGMtZ0lAfoGdrvDjkYqErtwc3Rl6sBCAlU965+pQhckgtj4hYF5ZOB1ak43JEosnACsTzscSCSw0rRrcZLeHDvXsAI1bNao04EGrddrrwUXsqMTT8fpnDWQHW4yCpE8N+TLpjk6V7BPOvX91XBNlaKMjmpmhhS+thd7xfxzVcXuOCGf2doSow5lOJgS8jvwBBZoIK6TPkUjLmYtoyGWVHmQ+nGPmn1aIfOC56S2wEFVowzEVGcAvb6+/vDhw29+85v//t//+/v3t8MwXFxcXFxc8MI/ugdcXFx88smzzz///PXr18+fP682isj19fV2u33/7v4sygjVZcJgDsNQzs0L04EJAQUqtc7tZKAzgKxOZ+nGXOOb/WKgcXVlpzhHnXumlLC1PoXSSs0sijoXZ+NCKwM8wdoQAD8XssAsIXgg5EraUuBKndU8jYrQBvd0A5AWNP1O0JNDOSZmB6zH43GgoyyVTGMXW+D5td3DYVFh2/HIP+TYrwvgqJS6Halrl9ICIrtRIjK4181Vs7VdZloSRVWYu3BkIKZgf0qphgRae2mbZ1nKYvcNDw9SwlNKbUDLtpfxC+8F/zphwgUQYckAZXjtA2ObpmyRfUicsNy9f//+7du3j4+PGha+UxJnm0dPf/qnX75+/frTTz998uSJH+bpdoNnxzKBNAe8XBe4Uka+k1kp1GlBmyxM05SXBaBjCr5ZqlBKzQoouLbMo0Vt9ACTnmLF0MyUOqcwp2q7cQmzEJnUBjd3VopHrgSmbGIhIbCI+Dkow4hgbfOTQl31ULolBO4a/UOYg2ArK/yS0R2zMDumNj+EX8ooA9Zj8Es1NLNhWOG3Rga72+eVKMLAdPD2vu6gm3YnTGZSSkkfWVyAEvIPM+0fQRxklOViTtu5rK0ElvM48RbIQZd/6rpkSYsjSv4XsFnOXXWxp3z5uWNnR0nn4t3dg/e+vL6+3u0ONVLmWOnHnd5lyrMw3pXKy4j3+72IDMP2rC/DIR5Czu5azguidnbuRi4nzFT3KJdXtnI+keV6h4Qy26LEFrNg0XdRTsRlI1CWVn9AbRVDRICwolNCIXTgOfKlZKiY2ijbgW23SAViUU/boynPPhl6ruQo2SKNuhw2BsO+FV6EUAiDBzUmHWxz8HhUF9PhAxjHiqmLfiZ+c0cxPGqAUcV2nrOiCRTy/zV8PbdUbIukdMdgxloeK8sNAKITC2aY185qu7etwyPGskL7U4zyRKgM5ulASWQBK7OxbRnP78WAa3SEvrm52W6379/f+hkDfuYsxKuUinbfKSU/Quh4PK43U6GNqnpGuSOpxZltMCkQLLjrHeOtTU8y5X2borTaW9rtMPwoeAocmbIgMk24Ir5GD0PACnL2ZdqKsbbWF8AYOnmAsVmvNksh0UVvgG6CPAtmK0tppS3jQuvEFhEH23Z3VZC8M8LHHKXeiKcsiuYZ+pl3PP1Kp6ZwyGZkq5SCF4xzMtWpN+Eya/cs9niO59dQM2GRtEK+qUb/OXQvAGJKwNOcH+0mCaLgxT4GM1ManCwKQFnlSikqfQcJ0IL1RAhZ8AS2ycvf+pXapvOAD95Fmal1QKZSxU5kz148AEbDpbIJoVKKLACWroZhuLm5+fzzz3e7nUg6HA7ezMHPEgjZrb7X6bvvvvvw4cOrV68iSlo7j1erVRln6ce7NGo9ESnMOHKukahGitHCLuF7VRVpOhJoa1EgFR1P+RvYVdxfFznjGqlfHhtuxl+X6LaUGab8cDH5L4Vq5Due8kS61bTlnczZ2uYHWfK9+IM9EXQmY23SSMrC2lm4QiO1HweFGa8tCk1sgd0dAY36Nwnpaa3Vm8TBgbUwNkDMjgIodxjoiOoU3bzwajwH30A4c85zxHSWExKRbbDBH3SmJKGbJBRsNZxpMqDnUIa/X8oxPnfSppG35s4A/H/Q2hnpK6MMt4yqS7XhVVhbXH5norxMrVWTwECB9N5h4NWrV9vt9vnzF5vN5l//9V+xZFinvbDZd/H6yZB/+qd/6jsMfA3IkxdizfooKGCUjOiopAsMBaHknEt/9kqU9mL6g3RQOaZkoiUFIZ+IE4rgEVKJSsU7bBUZxUY6gYQnCA9fInLsgAwjxIyYoZgC54nwp0TJvi5lU6jet9LGsc6hUyoflVb/pXXwee7usENuwQWWWCN856UJDJvZjYAObCpUywqhEhELuiXKQ3Uip9TpTRZmuNY6YOc7wwrf1ElnStP5OEtk6X4YAuQ/9PXRrGq+LdtZ4N87F0Qa5ZFWi/jMg7MgZVRMXWvdbDb4LScOsNrNicZEObbu6nIWRkEWbuC511pz7POqbSrOtejq6urzzz//8OHD3d3d7e3tbrfzyEiov4TvP0B3iBSNBXLOZs2JlBaLlxrb9hPVLJhZPTevjnqMF2YmMlOYP7BKM/cT1QRD8RA7QP4sQhs35ikOD5HICpdoygfn9HQ6qQ+1qqiJJbPRqprUMlrKltNKk3iXIi9POh73qiqSah09ElXNw5DQy0bV1/6cZXUY1rWOpfhf1aU0Jd+v5HhRXOJ82F49CBQAJuKEGUw2USbeKIzFPextQVBhLAsdvno6nS4vL9l7AiPgYhSqfkIagZERI+m+9/eyz4gbRMRi0bZTBBTsKNkexIwY3uQHAZNAAoZhDe/IzFarlZ9up7RdCCDtLr2XjSdq9VLqSUTEkmiVWl0a+P8pS9JsUstYSik5r7xAHjEefA3GSBgoGBwuIkq08lcpnFZV3yjkoux1BNAQNmudiQOfUlSF3d/fpzgzmEBWh2GoNnoi0LvMWMTtjn0552FY//KXv9xsNr/61a9+/PFHFKr5e7fb7YcPH3xgXrnnNSaXl5eHwyEH1zvBrbXiICF33V0rHh4fvIrPO3v64NG6ibk/jqOHbDkrVF2okgDCVCnYQR2TUk601urTqbXiePYJO2KZzEQ0Z6Hu7tv12jz4r9URdCxlyN6dW62KSFLxdo/qxjilIamIJKtmJrWWyQqKDqs0bY8XFa2llDxoTkm01lKrFSuWBz2dDpospSwqtVi1Uc1M7HAQPztBk9WxljpaVdLWGWFrdJaBCBUq+MrrFcpVplIss+Pp6Bvu1+t1jq0YRaxa1bwyTaqqWWspp2I5D9vLzf54TCn5TLNq0mwipZZTGZHDGo/H+7t7Ebm4uBjWm1rreHIUGMTseDqN++Nms1FNKmpVVdPKD/ypUsZ5QdrMRNSqppQO46Oqnmq5e3wAdjwe9pMyJtWUJKWKBfLaeBv+kyFRmAcVlSg6guGqdPluQEY++AKJslaN9dTa/d+3elYb6yiqRURMTJMBDmHlkDDnoQOY82Jvt1/I4UMgMm3s7PxD9k3wPU+h+6dZwxK/aq0u5X7GQ0pJbHZKPa07juPFxcXV1ZUvHj0+Pg7D8Pj46Gehob3L1dVVpYAuxzUMQy1NTI4h5agA9qFisYlLqkAHW4RXwVDH7qZHP/vn2jqtwBe/GZEC7uHndKRmkvJEOmT3fTfxRlP1ApqkeopyJH9OhgtmJqLFzETNzESLmIpWkTxLoIloNUvVTlJFZOoVnzSJmMgMMVo1ZVPLlkxEd4/NOUdgE3NEqcYXC0+YOCRwSaKUHC6biAzdFDthE1r44+dD/jGeGuGYO/LQWRZpPs3OyHvl4iCjFARwo1OTlJqUiH8eulpYbWu3pfWrpzeR34W38shAuHru/GN+EQ99+tJ6LMQY+OEYXqa9s4xEdZF28feOdHg4yNF5erhkcQIpiNClvkIs3IUO39JmJ9ML8DwLs15vN5vN5eWlbz5yOlxeXl5cbB4eHna73TiOj4+Pu93u4uICr5gGaX3yyKeAPAJzpC76N2u4Fb4dfMmU1Wrl2V9r15tL27KHCcvSyUADXoDO+LlFQAGnTFsQn3/VnmmBZ+LVLCfxtD7lxIPkR/F4HMThrPH9fBt+y/5vpo60nRQdT9O2e0Z2pYKpQiUnKaVqgkVxpcMFmcgAl1KKZwYw1BxbOrC1EHTQ2DmE8TDN/TmM7/gJxgltRbKyI6aZcaoXrxhYkrrhSpg+jd6lIcH9eriRBcMcnDFdONeJC0RECadYgTtywK6yti+BvJsRvmRohzYuBYh/UtqtBjXir64vcrw05Zxl9h1mm7ZabRxlJPZe1ejFeXFx4bEMxuOtHrzW3k+DhPaqmLW+J09NyPvzCZZa8E8uPMNedjxZZt+wydd0pENwDXxnHQBha7s4CEIl2sQPko7jCCmvEQ9Ob9fZSkHSWHhaIWn2xDNNWBh4VIlKsXSqY5xL9aFgHoTWWlVWbHh4MJBYdv1SmTNTHKHDowRkT1O2uT0YrAXyLJUK6jB+zAvADZSRVlMYmjvt6HDAx1BKEa1cIWGthWP6+5XOVVEO8JQ6lME3MDiqOql/mstyoNv8UGuXdc9enT0kis8UFAIgJS+Uh7fEKb+Wy2xLHLHWNOkCOiE0+GunUYt75sKnWqsEXqeUPHhx0+TScH19/emnn+52uxcvXuz3+9vbW98m5utKHiKt12vf6IRdMzU68IAsfrnwof9erdVftz8dfXEKxZ0u6+gvi8upZWaqsw4Dgr16cBmB8oo4cwcUY3KJyBB4zfJWowgFlAd5U4sOHV50TAxxb7isFJgYeco1ukNJxNdLTGQh9D/BdvL9Sua9+xNS3ayiiZqH8VqVqq6GDdI6FoIEfgGAMBFERpUC1Q6IWRM7HxBzxL5FfDklLmzEtilYCF+IYBZ8TMUmprNHzTehAhq1NyKiKiklL0VlNAEzOu52mr/kPU+Y1bjGOVXAuCXEJErQSotH0tbydgC8JDGkhInl/3cU7jBoOdNweOVwOFSbgjKlm0uZplPj2mw2T58+3W63FxcXfiak97t1BuOsMmkiskajmHSe7k203IBXI0JJUTnmF6O5/zVn991mKwqqopdopYC6Yy4PCa7+kuMszdCN5S5Wv9hx4BjN/cHFAKT95ywtOjuYDcBpu1cApMN44CBMvCtT9h09yUQEHhBmB+Hk9/Jyb6aaeAs/EX/qqmYkUjC4B1GCV4R3MombQXB/l9ubTnpBZwAlcxaamClPX2v1Oi+lS8hvYnaLd35gLISWAmXwG7dqzhxmpF+ZamH/SJTEP/T7OYPlosTSzGQ6q9sM0rYIJXj8+CccTtRTtOtEzQiXkOQXIjUeTEoyjqOmwETJQI2UprzJOI6n07zicHV15TdsNpuc1Qt/T6fTdrt12T0cDinLfKw18TVRBo4hY4jzNjmy60i3FDWIhVnjWThtD4dD9xbWlrOP6oRqUuOAPMapTP2eWWpVtYxNqxc8+azlwJe4jR/Y/VXCYhv5Bbih0H4cyHNKSfKUQOXWnEheCHUagNeDEQ7RVxvpM+eORlhUaDMUrJFGdgYk1Tj5p1JrJyF/zfnuVAJmuewtfUxQifklYeBXMqecXHGM8migD2hVxia/6Z8HL9bwmbOjxaiJ4EjVRETFeKBhBufRkCKcr+yWgC22ADLpaqPwiSp3O6JMszp3ogXjI+sPngzvDOSrbVqHB9mpDUcQsjDXZpZU3RNRmU8yU4rwa50akW02my+++CLnfH9/v91uN5uVNz26vr723ndwrQGO6DjJg1RaOUpRpuFStdqsOaqVtlbY2rymTwXyLW2aLFObDmmhitUetrdSEgc8EsrX8J+YrSy1Y9RJiTTrU7KATvmIL9ORq7ugpZjC2dgZc0maIHJC7Y3d04Ew442QNHhwGphi5PvUNt/s8IHqfr8wHigOgMwoEsQN/jlHD7DaLktpizK8OUCiodcwDKt1Ph6P7skCTBllwoufpnw8nqC5oOFUooZHg74eB1oc5ele02qVRQS2GlibUkJZRGqrlTVqveFkohmPxiodHPiccxkn3PETYbqZpyhPqNSOrESbDKGuZSB0jhYYGr0gIfpGOxKwN12pOF3bSAqEVtXjVL8gTiIvDzkc9sMw5AGVkfN6Vo1OUeM4munDw4P7L3/4wx+GYXjx4sX79+/H8Xh1dYVOxjVyKxZ7fE6n0xC11J1AI1TGJswp2KQeAozp4DsTYYxmIplqQ6Fm/t5uaTNHu2W+X6KctEa14SxawW4J++Qa5VtJcW4vXuSZJqgBIpQxzn6oTYFlcvlkk4NEFXzYMc449zdiK0BebAST1mT6ALwRukuXHx/m2Wv/0nUyxeIOMr5d5wMJkOVsnaqq6G63Q/cWi8W4Wqs7uRKlVU5G9AkyWiaDDgKeDocD2tZgJwT7SqgqRHbZFyt0bxa1csfj8eHhIed8fX2NHgDM+hKVE0DDCcJAQfYChAIWa11TEanh8rF/0UEabuZ7jNx7X3lF8gUYmfPayIUDMPOKhrQGiuXAwgMHujvtoDygbwfJvP6Ch6T2VC2h5Bmrn/PbqAyHBRT/9CnknLFwKSI3NzfPnj377rvvUko5T3jnxxtgA6QItlOWRGsuPHGXJwvHxwlbStlcXmhrmYEy+AyUMTvjlYAaTGG+rE3zM4tl4YCs6FA9ML3GCiaLikwLH00dB7ldjXuvk6vYmDelHFC3rwcaUhfrJiGH865rSEhKqYyKwAHEd51MESXxBH13qEWQWOPkXDjv2U8+zNk1WSXnOLlRAlVhpxEHIV11f3/vKOlC7j0SGStdyGGYldpUMhOR9YNq+0NW61yiaPN4PLoxgPFD/SdYyWcegBFDpTDnLMoIAY2ZrdfranMNdUpN6n4pfx3/LNYpOGHmGuIu4mrdHIbLUgjSMLjwmPnqwE6pmojHhv9z9RqLKY+fdQwiC6uFX2EARkP1lFYEyfNxojnny8tLVS2lXFxcmtl+v3c/Dr6ub4LXNl2FSeEzPkD9IGRKTrL/H/YcKFNrNfPnNyjjV/5I9SMWB5jOQk4lc7BzfITgfuk9ubhv1lNHzk7AwCxtbSmPky0ffgjsMNopCrzAABBRAk2mJ9ORUhqhVqLuaDxCCQtazu2QFpJwyNJ6tRHK+iGwqtE2oFIMntqlKyE0hLiWKHRyUvhRkDxfyPMSOp0Orpin0yk8cdvv9144CsSciZznjNtsbzB/HihjPBuiyebI3GIaIlXbhBAovvRulKoSuj91EMAPZPkTUnIMHgzroFQIAgotWHZmB75Sbev3ObupdIGLEBc50yBuHn+N3vHaBhfv37/f7XYo/x+jsz/zSXUq/co510KZ8lZ5QBBorMiUNgYUYjwsajovr3iRxRnUztRflsUa8AHlsdY9weX+/Hg8KqEMnpA+kvEBi6HPGExpt+qVUmoVVZXF6ie/i+NlPH/59kQbGtkJgjykNkKUFsTxNH4dC/lms2EXGIYhp6mtLUSxo4nFni//yXa7xXMSXewe8gQ7VBLKKHc0B9egrRI2zBHHyBh3qsGarl7722X1fJSoVccPfDTH4zHleVOsROalsxiYgBDkQ3NExBMlnDJQWpBfSgDLDc8nU/0FXgEbLtR5BASFm1Api6YtRHo4XUrBud0dQTsfsLZZyRhtI7XIR+Q8q9n79+/9YGyNfcAWEQqCFGkxmmUOmtz5wJCzsYwdffDDbsA1urrIuYuZy2K63+/R7VXCofB9Uswp3I8EHCYyxBFuSzpL7HSRhQ6z6jL2pdjhIaFRjMjdYJg7TJ8c50/hfmBBTgMzovPHWchDQmYlYql2lEG9DL5HNrrGiUP+Q6AJZyePx2O3egMXEiqJ+Vr0OWK+szORYqlBYw3LzEQrOk8hl4exIf2Ht7COICs0vfKsreOSBwzrdDpthzVjrZLXnc5F19pahhobiLs84qQbZUIZjBXmsZPvWarow/L/fjOUFnUQSpGFUCTCoGCLjAM0mX0xYO4wOJhGUUmdhTu3q1r+Q2eqHy3svbVTZKycf1NqI1KYx+Nxs75aaqPGmfMa/RNA6kQt4pWW/Lh0HYNMbax+FllYaqU19cxrnNyK27ADm5+J8bN14QfiV7hNyZxA+RlE3PXD5T/HmrEE4HKMsJRYZpO2hgQ4AtFdehyY4ECHEfLzceYEfwlZFTrp0aLHgN+ZYhXFn+lNyBG8wCsBbTv9ZXtv1JqvoyHee3f3iOcjbeza4QlvXsU3M3RZAxrUWgf3YzP1eQIKgDpM6Fqr6gYN1pXgVlsrAWYkylzgS/7VQC3al2LtV6K1Rn4+KMt86v7J0p8o5weZhk8I4cMIWR/kIzCHFwUgBsDZFOmc1SuJfJCn+jxNKLGjhOUVrOlowpOti3yeRvI70YGzTMMO9VJKqvPxph09a5vfgVT5BgiJRA9MOgTGKKgspQzkyIDgoDaSCPxXng7Lg7aJiZxzzvOmfGmBo1Lug/logcXQ+dy2qmB5SCmppA5uLIJxOQdPLHssMO7LdwxVVZVmgQ8j5FU5vxn1uHDEsJ6lkfa2aOeW40gGaDGESsMpY18B7/Wdd/5wfxTOz0KJKbMGD2+YPgxDzm5pvVFuiZ4vJlJFErrA+FP2+/3F5WY1+L7yqlrEUrVqVTVVlaypWlWT4n1Akg6ippJTklrEZLSqpnWzvhjLsYw2rDSnVcoynnxKMz9YJYB3LB9m5pt9gCCwde4rQdBxuSfPIuWrOQ8PDyCZhwBUlV9VvT9O051E1VxlXHRTyr4iKGa+kVjmXcLmEZiR7wAPCIeKuKJioXS20pZSSjmtcjqDMv5bP62C06v+6kLtUyFY/JnBVySpVhH/YPz/Uiwl894r3r3FTEWKZ7JL8aOEvRWGd9W2WsdaJSXJeZWS1CqqY9YhJVHJNTrFWFVJknSo3iNGSi2iqdYibsNLKSLJ6TyOR5eFnAdVq1VKOZViquaLcofjThYG2Ra94zrXuFA9B2ujRZSRo2xiPHnVWEpJalURJ1cdx+q9abyLjYiDsgcg5p2VUsopyTCsc3b0MZFkVrz3jep8RI8rPOdxPb8Ga+GI48da8Ro5nFZHDURkCF78Gw6Ucix14zNAFh2OgFYppc1ms91ukVGR1lCBjNC4UspwOOzGot4HqBbRZDmlYZVqrZrMrKQsYlLqSWzaXFNGOxxO41hzXq2GlUg6HU6r1brWsVSTUlWziJqpmRYxrRZqmbKqpGRWDoeTqqQ05JRTGsTbh6ShxtG/rmw1lv07Zxtk2m63gIwaZYRjHD/ikJFS6goxoMAgsVejLIOa0+lgUlz6VbImSzpoMpGUsojVsYxiaVglsemQGjPzSNZ3QpqZJ3fN7OLiYhiG0+nkYdBu93B/f7vfPx4OO0dAOtsgq+abm6fv37+/v7+/ublKaaj1qK1bC3Z65xon1Ol08uo+VdU0RWE1FixcYZAVNqyRp5RSqlVdYERMJImYanYTNdtbTSl5wKVex1yK1Sqbzeby8tpM9/u9Wdls1qr5dDocDqecNeeVmaY8WC1jKbV6dyitKnaqtR5z1mFYl3IyU6vVTEop9/f3wyolHUqtSYfVOqvkUk9mpVqpRaqNqkmTlXKqdvQDxXNccAS68H+5FMVeg5/VWaNNLfaFpZTGctSkYlbqyaqmLLVYqeMwrESrmXhbiVKn3kmb9fp42pfxNKySitUy7g9H0TrktcX4axGXMRHJeWXlVK3U8SS1qmYxUyvb9Rwl1Wq1ViulFMnevUWklpJEXNrNTN3Qqm7Xa3DZv7/cbi2OCfTSm9Ph8OT6er/f7x8fgXHr9fpyuy1SPAHkKSEsmXmxBYxomvOD89piiSLpodqoNWsuKh7PyliOZTIyompiKuL9X4qorFablLxQ2kR8G574WpVMCX6P09RTq46wLpHusYqIah4GCVfTVKf1jpwzesRn2gzSeWXLiz18+AUw6YB/B3ImAaI5DAAo5rzzx5pMHUlEvFOJajIRNZk75ph4sUxyHwhZNH+sF2tZFIl68uV0Oj08PNzf35uZN6Da7/ellE8++eTZs2deQ7harbbb7TCsUQ2BKbO/jUiw0kERqpooyNcoEUazMY5bU1zWuPH+lrkC2KbOH45uCg8o51Wt9fFxP47jbneIogp3ZKYKVF/XMkuq3jhxjixqHUWc3Z40ySlN59vmwV16qzaeTtXsiE03cRUxLXaS2ixTdo4wCMXLHU6ZLj8yDE3kxR8GOvfdpKpqHkR1NaHwoo+SS4Vv/ROtVk20qqr3rxE1MdFkYio6x0eV1rDdSKDST9pEp0TOq0StVqUtbwymcN4zFdPn6BThAilR9etUGoahjtX9fY1400nncRMoCc8IzhR/OQg5YHAUS9Twsc2cXrOa2+tZVAcBySCsCAdY841yN3CusAgHkfGhozrAr4+tfXTX0ovD//E6AIrSom8p8woiWOIuWBeldE+2xfJBaFRBkzQRwUmsFrXCDjre1QE9rsZxfPXq1X/8j//xk08+SSl5yiZTM+rOhcGrEy2ZMZvZiVWK1DBNzKtGKaqQu4vns7yyAqeognWr6CgJygC4gXr1I9klvKhSrtflO+VZSWqkOXEPi6i0he1GJRtKqUa2LplOX4Rfk+ftwc0eukq5527xuPO1/w8vJiNPwapgeZufj59gyuC7RQock0LCFLK95MUQZyUKtQ3QqIcWylgB6ZjmiQ5W5LENeVhOc4B0CgGNtSdsMBfFmn1GkOBljhOOOn8JMrH1QE2BX3BkJIS1ULUVLoY/pr7PyLGW/wTpwTQZH40OG/MIQlW7XZ+MLx+7eGr4XGu9vr72xzrEbDab0+nkteSIdFJKL168+NnPfvYXf/EXn3zyiRfXY1QjnUJZKdnk7/UVTdR9s0kHiTAYjc1+QmjlrOx+2CECKwZzx1EG9smb1KY2TSYTgvRV5vwW0E0mvMi1Vo32a2AWy5u2l7WOCfMLw2Brii5QsrBJ/CVjLiCgI+lZebAW9Jkd3fAmvYju1zlqHSvtjZAWkmqtw5Br1DS698g7eBiM3PVYZp2hHQAORt5hMwBqmQ7MC/uI2cA1ILcPlwHocAZi4nJXttJqVKJ9KxAISAw4xCxX2rPHDECmamn3mDdLSmG07PyX2EXS6Z4PHpX4HcvjHl8hat51Vv3oh9MiZaLa9mVZRK314eHhzZs333zzTSnl8vIypXR1dfVnf/ZnP/nJT1ar1bNnz1hAsYLDA+AxlLj4VxI7+hGgwV4xF3hevNLP8wIvOq0WCjr8zmEYLi4udrsdrBfLsXuGHfuWlGTU8O9TZKkTJXHBxxx10oX6t/KF8TMMAS90saTII5cWZaRdqGJkXF4MyvxP/oC3qHJkOm/RtNhOWGmhGjdA3dyyGsW/eGPOeb1ec5Oa1C57SXg0fqz7XDWjPUp2F/MLPh3PSFWHjrgWK3nYvwOGTcMNw+JD4YHaHGgo8K9jD6SncwUhozCnrjN48lJulMwpvulggr1rf4gnlc/yW87sEm4MDo/hLDVFpJYJVjwP192fqMuEH8l0d3fnj93tdtfX135qrR8FVxeLx24GjIwn6AltYblPKZ3GE1YxfSSJDpYRQmT/IdLGrAM8X36phE1zCAPxHVW7Ta3q6FaatmcfEw9MpOMpftspf12U83YSWKlBuv8109r58uZO7IXwpRshZF7OXayHjNRLKFTy0cBTIAKiZtwJCeewhUGTdRM5FD8goCx2S7r7n3P2ZYRSiler3D3eMZ07mYdEKRIFx9OSCHNUVmPtymzKujGlcLGnBJcYypNiOQ0yDbT6GA+M/Fhkf402YsEp+CNXJ538PdjpL8LSlZIzicEglxQEcVL2hpf5Byr75/HUJ7k8uQDSsTWG61FK8V2zfg7BxcXF3d0d66dfcKGXXIeTwq5+zjnVeRsnZz2VcNOfwFrUTZaJiZs7jCjUDNC3CLN3PBON7D/uEZLdpb+pdYY5fq/GJlh8P1KXJrBAYiEJPjKyGKy6HT07jguhAMOiBC6UdqPs2d9KCzpn70xRDspWgdOFkKKY1Jwn9doWaZNo4Jqb7Ry7QFkS8Ctf5QRbpwRwXNYmGVjN8U9rswz+qMGoDAnNTVNKqKxndDezFIWVIJPSviRZmAV+SEdZf2ah/aYdSBfuX/txLuoieoLCpAjc4BA5itXoAIY/gfraps2Wr7NIuCiZegKCaXcsjMkwDNvt1iOIRAck+yAfHx+Px+Nms3ny5IkfaeLr0Ga23W7BPKwgck981kzwMaW5AUrOOdc5pwNGVzqXSmhdg1d8jeBACGIw8hK10Ub7CV1GsUzupEixGlBrzaL8Rojvx2oRT6fTYKkjdYqzDZ3O0oal0AF+lCc1XVB5G07nKYOPTAFpnTgGR1D1Y8L5R4QWsoQX8fMBpk5VL+9gXviFZibwULpVpEQFL+M4eqlLjdIYTBwPdPbt93szgz9+9tWJQlfQ3BYRjJkNOTroKIXrMIkQPsBYqXP/dKj04XDgbBwcHP/rQGcGa/gp4M1ALQJdwXjoLqPYF1MXWU/+npceUoSaUcAylyc5srhDCLHmwIqKu8v9/f3NkytnJIpcedEHKaSAywEophFmex2Nz8Jd1uPx+OHDh9/97nen0+n169e/+93vrq+vX7586ZUIfuABEMEp5nbmcDi4T8ur0ant6eP/PBwO+/0+rSaeQjH88qO4eSUSIDLS+UHLAA1U8injXCeJIBfsA4WBRLXWMhY/7AlMdCPswwNkAERSSr7oy3iX4+wtTArSggyUt6qEM7jb7TzXq9QkyOnQoZK/KLU2GReaFnJuy8iCMjZZVCdptFWqUTnJLpuSwXZV8gU7NIjwjdQpFnrGOIeD0RCVMv5wl1LgS4m20G5gAJH8QLTacXwppez3e8mTamw2GwgDUAnCj6tEn/xaqy+bqlf01EjfQvOXOCfwpS3rwuUDzyANSv4FRF8WS1EdQDKzmYL8IjvnczKfeDBwWDCq0u5BZ9DlR+Gei4sLL/yz1ux8LD/NQY1gF3uktN2cOuY+PDy8e/fOUXIYhpubm9evX3/22WdPnjyBJjAF4Gwi26qUKZc2wQlKfmx9FQ0lGTKAwtImy/BwRvDOB4Tw4ZlnxaAz+x21Oy5M31C3cx6wkEcAQoEIbG+Njnmu1IaOhY2pIQs3lpW5UEmnhh+BQIPlIbX9K5Gi/iMZAP/JSOf5gObwNUANEUE6bKlKQtlATDNR2wB+DkwF6O/jPJZjaVsO8698vpWaw49tn2YNT2LATUP0+l3aRvymjOdbz7AG8vcsW8AIHmWlxSwWCwYLWaT3Urv9j/nBgtgxXsnPYjItISbePpf/dLdp6znzlx0FMMEU+wbM7HQ6+YlL19fXnrrCCU0ppcPhcHNzA8Oi4TyW6DCEMJNVTlrgjviob6zVEdDai11Uzl+AAiyvQo34+NXpXP3IJEvEfaZb9+VSurobOgjDVaggLVHQBC1iBtVasUmVGVoXm8I6ICtRCJupsqajP+gAUmD9CHK7vJSOS1VacsIHISmVVtGMvBv2azDxsy/12zgWwYec8yqhGL0JjoAvrGgaOxsw2oSWj90mq+Uvof8S2SmhgBZTwuAYI7gyjRnsPiGEVWlFHGKBn3Sox1RmJWfCLe9nRmJ4mOYyujYzkQmnPaZVMilAK/YgbNoZoJgIbLvLjfvtOWfkemut3jzh4uLC46lELdEg8bCK7hhXyqcYudbwRDoR7IgAKe9EyugsJxYAfMPhiVKOhj8brXSwdMYPZ2dH6RLS5E6LnIQsDyBvx3QjgwRl7vQw0fHKGoEPq41LrKNPNzahM1eBSto6nkaGkMfQSZ18/MJD4KgyGY08ZaCPUNhisRbZeR8lDvZmNSS+NOPHALywC/UBbM/qYjlcZ9s2701NKQ1dnIKBdiKOF0PE+UtPE4BMcEmUMDvRUreQMcSI/QKmQg78OrtWhflAasHjSrkhJdeGvxQCrK5yJ2g396Dv3EU8CvMq0X+Ehw3qsX46ufykZMedzz///Gc/+9nLly+9qbiq3t3dwXnp9FkWuNnNi8cj+cxGbW29ACMLwbxjbnoqChkr3A+To619+1hQwP4Fv3Q5EmlRsrv+yJ1MKNCQ9zGBKdqirZHZ45iINdyXsfwe3gTQQYy2F1PGr4/VsrNc+YsK1fXyQ7oXLUkKbOIfMjp3pGNEZgecgQz3M06xqKfN9KdChb5DbZeigX9sMPHEWquYetm7p0I9p9vNkK+BznUyatTA+Fcp05zPFXenlMaPnNfD7+rkr3sIWNjRd6l4hDPVtw4hombAEgIdvJ0hWCmcwUg8d/vdd9/d3t76ny4uLv7iL/7ir/7qr54/f25mt7e37uzgV3iFqo5xzCC+ZK3oRlhrTbmRKowT+dfu4goGLFqxGHX6XGgPsYVt7+gMUiyZdZZ3/E9VNUPd8MxWzvTzeIb2hB8s3zLWCylJoao2Jauw3+9BeQaRHM393U64F8lV5hghT6dzBP7IZWGH2KMEf4X0EXoByWRR+VgcBx/HKPaBtAgtzPsNvlebicB2gkkNuapRgy6xwjXwaQzabjxnoJIZZZo0oTMbnhheWWmdlR0iLF4gpaSUKWT/iBnGrmMnnRzrMiD6N0zNzqfgq/uepbnWWmvTHZaJ2/1K1Y9zP5OVzLE/2Ad8d3d3e3ursVzi2yPN7P7+/uHhwfP5ni3GsPHSFGV1wGX2JZkO8BH46sbWkTRRKqFzxBhbO9nqngPrxxDAb8E4O6oyPPE/mcL4ZvlwDKabUbcehA8QP/YZ2ZuDAOPyIHeMBt0Qy444LCRMVbDv7Mh52BbNFvDz7gYfZykjzwhz52ICSO/SgVoKPCfaVLXUZu8RfgLRgrT4l+vYxwQ61FoHLLjyAhv+ydrl7/DtKv4BpMSXPFVIgxsTTnxo27OOUaATEVAZ7OSH6zmfFmPmz3BG2GtlErO7SDTS3W5XbeU73/kGad1XzAK7xbq3rFYrP/raOe1dODebjRcm1HkhPPk+IPfMHWV437AbUvf43FBjsqXdDjbhbPtPfEaXfBAfU4D6CWk7Nliy+gkFwnga/CkGGmvTNB1AaOtIMjiqqhHfE5V9diNhvnSDaQ4apwEknBgZqgKLOESjSaV4B2AkYaUZZfjJmHX1ukQdJI0q2WRMOgxDLqPJ1O2hiCXRKpagDUZl6y4GTGFWipSaRQCIsRdPYBgSSl3ohBwJO2oRwUHRsI7m8swoA9sGrfFvfEiDzpsMoFkDOAGF8foFVEmVOO0IeTLvmeKjx2azTsODBGm32zkeeWGCL+WyKQAXbZFYwVs6CMDczM9UaKnmFMFqpS/Z+tZE1ivcCb6yyLJWlNireTweUQvgxQW4Df6dRzS1VqwcpWjBCxj9/e9//5vf/Ga/33tf8f/wH/7DMAx3d3cvXrwYhsG/x75YhxKQa7S6Px1TSSmlvF6Zmbd7taRoApJj6+0wDNqurONi6HcCAoWdTbit0/AxDuVIbdtTJaNSqH+wRZRRaz0cDjKsGLAs0rFjtJGWFqBTSsNqcA76gUS+3VTCgx7inCafArQLwCHUoilRchAaBYVJVD/ifXYxSKiiC7+14U+Kki7ITMJJ2KdqtaSkIuYHzZvpeKrjWNX7WqmKJrNSTUqpwzBXlnhZZgdwzM2Uktf7Rl2CDcOkd94oS8RUhfJs0+qY87fG4rKZpCS1mheruqj6A4+nE+imtKsbEatLUY2+ApMrOKCBXE2el+ksgAuTF4/BgYRYLPc38ZUo5wQgZ/8Qtiim1+SQhPKIkJLS7tDpHrXUn/qRfZ5Lo4fLWq9Nyeaz7cLwnA6F9mGC4pKnEiwlay/UvXQcx4eHBz/1bbVa/eIXv/j5z3/++eefb7dbBkf/p5AZZ7IzBEPghrhS27SYYRT/rBTSfoxKHXzwz3F1PoJ8JLBSsvBCNknpNIVzPNLj8Vjq9CLcAMcZ6sdVv/wcfIAzK+E6pQg8AUkWbhT8RCXHQaP/EZOUrxrb0DHBcRyHYRujyiImgoTLHuZHxGo9s88eRLbWheTZ+aE6ALUa5aBcFKqETR9jPQr/QCWJIAs/H6n7rZ1x/Hv2YTpzMR+LUaadTf4atPzkR/NDlx6jv6AL0RnL0rnW5ywH0moRMwDaXtq9s/yT7hvWro4WH/tevBdmmtUMF2MfD95qT3E8H8Xgu93u8fGx1rrZbH7yk5+8evXq5uYGwg28YJTpkLT7RgMHU5ScWyTaU5uaAYXhRS6m3MgHMxRv4dkl2hSGG1gloIEsFfylX7y/hEWI/SyOjt398fuBEUtVtEVZzVnolIU8I2RItEkt57zb7VJbM82vXvIIcoXbEq3a8Ns7C83/Pzs1jZSTf9/pS40MICIVxDWgAK6PQZsR7HK9C8sJSwLGyQ+stTaizPI0jiP8TDPv6uoLE7McSIteHXfPChM+M3UqVSgulQefQT4ldAe58d6O6/wQdu+Z3J2UkI41iwKgncVKrVI6ySYPufADeXZeC4OECJxEtqKq6m45qMEvZaYu+VUjs9D9kOVVF3WJHamZa/w6oMBZLi81jV/Nws1eGOsGvsHzzUw15Zy93VyixmallO12m+mkULwr0ToLT9Bte2lbfNQ4Sg1vd2lnFODxLCVBSLvYcVBKdUmLOIzyZ/Uc1MDsMCR+oD+q67/b8QuOCaQL6cXOZ/Hm9ok2rIQANcOD0DIZlfpm4Jk8nXlTH0uDqqIOrZOAkY5hYl52Jg6DYOIyKCwruGs0fMGdjI78KyP/i6FHGoCY85r8T/nIBTK1mtOfnNtRo5NCMxvHaZGO20Tx9GusF+Zo1of7HYPcRC95OT0q9QafhcxThkg34E8QGkb5jlD8TJ5sx1AejFHaCNOUBYIwCuBzJ44YCb9LJhFvCu28JNq1gj1olnU8B/LcTZb52E3N/8+PYpHwgklMH5wtH9nNy33nKm0KgbHp5o7dsHrOEmA60tYosY7wTCVWdSWwgEPpREnJJS/8Gqn5aYrd4YW26fA48bSOm5NDwe4GiAI4lNiLldpFuKXSMiMh+owysNvYJSyt8CGNqu31MWtZ2qYbIBPSVICqpRzzc1g96MMZVILA1ci0g7WeeDU6NIeD4XEcHx8ffa3azLbbrSdf3Dj7HkLWHCGEIsnuQxiNCEII/gBeEnlNhBUdlyGdkCSeZqCtQZo7IiAdDk7hT93NrCTMRyVTVKkjgV/r9brUOZ7F+D2xpdH0D7OGaezkYaCeGIz4cAAxAFCsoxVYjM8Yv1L9DhQYdOuEB6/gn4OPnavbubRMNP8/UA/PqYucHb8oUbU6j4rXKx1K/O2n49wVDD//WCTONOfxDN1X/HpfHxGREm2AbVGzuORE91b+slK/Bb6HqdPNH9cf96GWXAe0ZTpuje/BmJUgHw/PU/mPG41mURz/58Hj+ZvNhnczYkXGzDzv+/bt2/fv34/j+OLFCy/29Q14vk+dx8+UhLaX0vRnxHsh/Zm2aAupmSwQFgSB/FlbpWaxdtYpOXCkRr8ePEQjBYCFOcj0NOZSl0SDCqV2xUo8uW59UYaXBVQ62QMCBp6C17awIl1OisfTiQdzvKMkCMLS1f1QVdEVHBzk+BFDwgND8M5Il7ZRm1+MGvz25TgtyrWWyiK0IANS+5/QAIDNRl1kcjvQ6R4+sFQJOeowU+gvOemMrJjc+D9XcAsJLicLaq3+NC8BQI6zxlpDN0N+RVc3hZlw5wch5PKFc/ZlllTgqy5SfarqNPefsi5Z2Eb8E4HD5cWFf3asQazrEzkej/f397574Orq6tNPP/3iiy+2262EGUTIwx67tk77UnqM8kQs/QjClwiLH/JbnG6YqbNjpIMfmCl+Yc0RpIaXh4xA5YX82pe9V0oALcdZSnGQ4WogJXsLQhXqcGQLXwb/7AAOrGFXnSUKl9/Q6QuEloWH4VJs/qcuto8x5f3CyT8QS/gOoD9jiq9IGu2b4wFn6pRUqH/LEq18X8vSSfHvQXyQhemDSWEYoOeEMhAIpVQlCxkqJgJvp/yIeyXoalFj2xhGELZ33kWSUvLyFgAHD0siCwUhAOmlhXbWtMfHR1ATgpJzdm2x6CyjsSZX4zgELMFo1Fl67c8YR6/lnGu1nHO1sbappUQLllxM7VzPse3Q87geKHkHiS+//PLu7k5Vnz59enV1JSIvXry4u7s7Ho++JLnZbPzV8PxH6vhbSlmtp67poJ7f4zV+XsWDA7osNpoyMcFNdkvhKmKPPrAG3QU5dYqHQP3chFj4GrAoEtGcEyrL5GZyqQs8vlqrrzlED5qSUjJpbDXwAljMol8piIOI+tZcKJ7ELhs+pYvTwCklbJ3B+i5LKeOpnXOHURO0GiZhAM39adjBABDfbDabzebh4YE1a6SO0TiPHJrlW+HYAfRZeNil1K2NaQW5VXLrHh8fMXihoNIH4Ikww2HhdKIZpNQZiqwiiCyel5FzF0jGzqqZbTcX+J5Zyyaigwn8k2WlA+alyWWpUlVUCXZGuOuwB/PLXklqA0tGfWiItvtQQjJmaO8msjRK/qcTdfFhALq/v/cg4vLy8osvvhCRn/70p69evXp8fHTGoBADapPavDWcBWceCkP9rw6asDnAFKRmOy1FEN7Ngl1FMKVSVRj+inIsWJQOyFhCZsYtaMiKqm0QPf02zYrN7+qeA8XAMJZuLH6OqNahje1EJ66dGMNnZ1eRLRBL78eUy6LfDbQAZTuZ+vVoxFDdvCAMLLRcP2lmfuaktgdgGxX3W9tdF9YdZJ/mm5vvWU5Y09mdYQ315w9MC/xMz0Wt/KxEp44wMxgj+FHLF+N1dZE0wQ+ZK4lyEyzBnDEFWuOZ+IDn+NU93KJyH0oSg9TlwDpS8KNUdTzNWW13U93PQpLy6urq5cuXKaWnT59ut9v9fp+pJR2sK78Xup1zLtIju8uKF/7qIk3OmsBT4DojngUo0LnEvuOBMxo+L3c9ILIdm5h00z8XVoe540xko8WjwmMRwXUk6pSKJQ0hA96FqdVzeY2PXezFAN04FOBoQESSGv+Tx8wvtTAeXu7EBNHIaguhJEQC6I/0rY/HHR/QgUEQo2VcRqjYsaZjpS2QF1rM7OuI06DMkq9pkY3zimbIN+B/uTKtbXjcwRYLMd/AM++kgUUfWJNoazzsA1/d86GfLBA1zgYANeJFZ87Z4WF3+ikiDqrsTPpj0XAv5+yf/YC0nPPV1dUwDN6VUiitwHSYX62zTCiFgUt08FendqMd6GYEtYw1iJXADqPQQEgf+K+QsBRrEOco09cfQ07YiYB0EREMwwaJ6rljDKWNrNkEOnk1vAB/i3v44BFTG4KkrZlkwUZMCo+4U0KeSAcuI52J6F6hP6SrBmR7Weg0ONBTFvX0PjVsd8Ap7Cy0S2HuKonwf2Y9ixA+sJ4aJUAwtuT9Zf64s8fPwj9Zgfn12gZB3dw66nc4oq0D1REC2gKhrG2upBtbomzRcgCMjxKaU6NckpBYcs4m/aigRTwdv1arefcg16Rgl0fO2St9EegWqpFP0cmF422hmvcikz6z5+U5II50oJPLJSd/DLQRBPFZeKgvsZrLWQw8oQOdTgZA/w5lwDtWP3zJoqzzerDmnGvriTg6eN4NfIQR6t7LILicLw+mY2Wm3cJCLk+NTfBdwDIsDjicoKcto2GiYb6ZinR99yxXfrM5XF7AdBDHH+XC5muXUOES+8sg5JhCB4LzgOVMmQtQT0gfIY0YCe6ffZlOwzE9ZEld6Fd0gq2E/IGRZ6GH54/ns8HEe5XMMkZcY6NDjewACxAqVoRUqNaKNHP3NGtbwGIMqGTL1NEiZy2lmPQRlrQ2kwmY46gjTrZpBC8ppYuLC/eK3ZB69lrbQ04ylQIyatdai83LNxLoczqdsLHAyA8Sqmzkp9VaHUo63ZO2agFgwfiLh3AAApUzcqa0dcqkRZlOMAA0MA8pJdVG04wch7PW5byemLk8IKDAT8pHtlCxMDOU8Iu6+91XQtgClFFZYe4MLl23fKF1WCYIZN4jIAwefIG2VwonvfdNipw9NI6fLGFIhIISa0MkM9OhWflmkoYlaKIH3usvyMez0to5ne8cYPh1Qpit5+r6lpIkhOLMJB5W9013P2uR14D6ShvXSintGF6+ncXU3wKfyKKaDo8ahjyOo5fm/ZHxN1Ju88lHWD3xyiPsJ8Y4a5xsK1EkWmNLNNbIOncsp1nUbNFqH/Pt/FMotlAeQVqDw3dqa3ggjh9zJ5GvqW28xhLFDBIS6CXusMiN41it2TLmT0PWHwlvGEJpgcaf1mU3u9vwXoyTP7DjA+oxQKRYk4LugRqrYSXt5b9CMwpGJYttg2kRd4A7jBHwYUEBbU/gw/8h8GA9h716LoyYpkB8ZKlg4wEboBHJDm0v90Elq5pYEqnoc6FJhrzW5N+fYs/goKmRJBcvV0sO/zrZYsHlUVprMYTUo5u5RIkgkA6ifzqdUpKUBlXzp6oOKTmHSq2maqorkWrW13r45TSClEiYJiegLC5WnqVGWZ27Kx+Px+Px6CvTiFPwUhFxlPTt3a4G6L1WqNQFxFHV9XrVRTEdMkok85a8YMPVoSQ+6yIIFVok4htYtsAR1jFciYKaToc7p50vEVHNp9N+kkmtSQf/XGtdDRuTUkYby8mqarKcVjkn7hnKLEZBA0BNY88K5ph4/w5pOKs9zxTOkdEJPCDjJPOtc8/TL3Fpm2hjCQd5HVA6oS2lXF5eCuXyUyx+47BaC+/Gf+hb5HhI/k/0ZuRLRHbHg7XqDDrwXGq7vR5lChPZ/5//7/+iaqpZ1USSSPX/H4+jH5ld63g6lVrHYZhK4LfbrZk9Pj6WUlz5cSQV2tB0Na8SttrBCIUSKc5Fws7MsT1ZFXPwV49x9OUQTYZqHUs9iaU8qFXFZ5XsKKnJrGq10aqa2Wq10fDlsMNQVf34Hn8yFQGNh8Mh5WY10UHEz81Jkeefg500F0yjwc1qtfLPy3nhEHvGbm0dt0TxiCX1slevjqmRUa6UkoBuq+r9/b0fkJyo5oW9CQ5wRGQzrODAQgo778PO7RIA9GCfkdCCKKTZx8yvwMPxQPZxcp4ks9axVjErKQ0piWqudSzFRCq+Eal5mJtySGxN9urqQkUrGvms3PZ4BJcZ+CrtP7LWrnRQi8caKgbtTH9fpc6qNQ7AmcRvvYWE1LZGqdDmG9y/ot6dmKOPZ4yTldjZWa2aHUK4drudK2+NQqc0rSOLLCwEfjuO436/R+GIRTunFGVrPlRf/FcYLRExw/5uJYlqWmOxAjgXof8IPUDN0h6QjvGxx4jvWYLxE9gT5K5ksifjarUy8YerqA9s1JrX60GwDq2WU5YsqmofyaOlOEtYoqQqpZSzXl5eilbmIuKgjlv+GcKqbb0G678t/P9OY7s/WWP8p6ZQOdrlgVb4rOSPoN0EyAjFYKHB57JY+eZ7OqLZwsphzEAQRiiIkBDaKiWttHXdMRsRUc2qNWovUkqp1iRS/KmqeRqv9QtPDOL4Rsl1YrIzKQAfWMg7Ho8ddzBmjLW2LVC6fy7ZqhHg9xIZz/cPjt2YGuC7knh05gH5GqEK2GE4s6tZ6GAZeOKuEafTHK7yD2vbfhyi1XnrPv65oVknKJ3PhlwmInDmE4SpEylYDwyRk7U8XBgurB2ATPDwO09+HMdSxs1mU222P0IuAGarsV6oqmM5rzMpJTgdfozJer0ehnUpRdMMmjm2cdY2VyUIbWIwKU4O1ahNYN2GUAqpk7RqKQtVV1WzCivhCI68dVnUDflalUue0sm8bCRx+cCKNKfiLcWRuczDq+0OQ/hW3T0dFOKZPB7WQP6yI5GQ3Aajm9wzHoUvl7/q7sSVIvmKKiE38hCAbnZ4glLqREgapQWaRCvlTcX8gs7dlKVd1sHUQAS4txgnmK5tP6blqKC5ei5rwT+BagOSLFYVeEj+tKFTto6FMDugAu+OE6o4ZJWutC8BONcRdxiajZoc/YJP4DdKfZj6mJu11s/Jivw0JjLdZrM3xFe3EowPtdakjed/VtwJHabbmLXtDY1wn6W8th3k+IYsquQl+VtQAD7SSQ8esmEtycLZsQiqeSKsnAyFgHh2OZk+uP8sIjB38KKlfrJw89uFDFJHN0g5v6uUUVWrzUB2lnHSoHb/ELxdW8PGrvTS7Elrt3QO/VL3pZCE13ZFtZTCKMMKwioGqyYiNb5kxfarUL8YTGeksx87lgkFK0qd/z82NfwTax08Ndxp3iuPeXBWqjoGwMHpJKwbd/fzSgl8i0OUG/1vd4J0T2BvMEdnFl9prpRgT1RArYTHWOEe2j4yeAsCkBpNjp1Ym83GAzGES/5krFlAUqfHxsNBT2kBhSfIatDNutA2S7+CNbNOulPjG5e4Uh7M9r+CCL6JAa4QyzcEN0VhWI2SH0bts0rFTIQkoN4E3EE03f2qAynWfBYJvAJuMtEkVNQtk8ybsFLbnLgbeeOEEoOs3eeFBO0wDHyuAPMLqtE5Fz4VaS9r3UC/JrLTCK218aXdOuQvWoUPi2f607wZo8swDiw3M4zl7Kh4bBYJJv6+U3w8Cjr+8PAAAZgbOSxnzpKHocAE+V5nPEjJJWOuQw0AvdBPRlmLvAzuAeONjIy1aTad11BqV9oI3YZkwG53qw+yuABYgBhPZWpqsoMQa1vAPHjJ34NnQkrIArHkdHc/IxFkwyIL5pRB9yM2szlnNHxm35CFjFWugwBpi746IGCZwQghM2nRe1iitFLJMuNCkaGQnqeUuM800wSfofA+OV6b65jC6oF/svHD0zpFgG57/rHTTyYaa7u0aNINqePvcnadbMBXzdGqHW904ydt3q1SrTByXiklkQol5XexVODttVaRM+M3Ktjp5nh/fy8iPkjf8qqqA2yOEXRBJnjR1Ee53+87ZAF1WA8TVT3zIDA47BtmObBYEWRA6Z4MjMRsTc5bFeY0EKeMzWiXFOx4cDqdUha4SKgE95VvO1cWZASdkFcoW4dTrIQ8Evi6YLlTcrTJ1WJmYXhCVf9CiTB/ZqYmCbLAOB8b0oQYEkwoK+qS4NLqam3zI1CJTo7BYmmv5ZeMcdpuntRIVeasx+NRaTAQXVu4DyALHsLEZBpC3rDLnIcNfmF4bGjRB5pfp21f1Epp5mLnUYkDH7y61ipRlol7ajRF645jVVq5t9bxYdaAfb4+s15vhawIhtT1WsTYUD3rSDc1eEEQ1b0PxtDawiGeJ/5U26oHdhpZqTA4iZ5g+Cu2C8Jjl3bRV6g8B9jn9/sak7ZmqtB+EFwigr68nVhzLCZU+rHZbNyXqXQxh5bqge8rHciLO1l/+AksshZtDeCDQLjHWpxzRk0n3G7wyNEOlneTeo6mUPXEUlBKFJWALBAXXdhwDJ6V1i/IDFOgtEUf/j2/d1Ye0uQOcfyfHOHqvDKSaq1jmVUCj2K9YhvGc4E918ismxmKbj0yHeO49OXAwMQGo+sZE2KxiA7FlhBvG5sVIly+Q8Vhzgc2lVkNA3wZUK9QCzHHIDiqtY6pXZdguMfIXUjGcdxuL5fsFtqBATr4b588eXI4HPxMG8Cc/q//9/95s9l4I6XHx0dfNr+8vIS542REokwBE0hijUOiKNN/pVQexrK+Wq3u7++xXFWiEMD3p8i5C7mYNkwdsQYE4wZHUWh9WiNSG3Jzxg3wq7Rbe4KmVUS8Xsbo+N0UOVeoruvtMAxlVH5dnesO+j3c/mqHAzhQmK+LdY1FvflR63lngE/TRf/y8tLhIPRt8pyxIVDJSmsEIzhoHQK6Xa15eIwFQnrbqZazO+ccfXmmGhCniZdsYKjb7dZH5XNH3M3vxWcuUamxRJXbIwlp/KOIoBs5zFul1T2ei0UoLSLu3sO6SHQg6oprayyjuKj7NK+urg6Hgz8QNntik0xBlidH3AVGhyChzkH+eXfoy3b9//Cd+6uUWuvxePRUhtPfyDOQwC+f4OGwW61WzgLgkSMpcpet8UiQcICL5wE3m02t1VujupE7Ho8OIGbmHaz94c2OHiVnb6RjKIwcKs5H8gUJcKktVKiGEfvogVmdHC9/0omymeHUXoebaWFIZ1+MM5cQTddJ/xLF1xA+lm8lh2Ies84TBOov4wjnZU6zrdYo5crUTbp7uO9nwf08GNY3tpxG7g+iJJ81z5cJYm284HTgEgzE7UsW9NQ491cjB4H9C3AWfEmxCY7VgJWzk4qB+hnDxrDwsGHwe0qdwJcpxof8nJ0Ch8mgFX/jt3mfIz44qJSC9hdCiu2fa5lNwseezP/HgJnLGj4pPKwS1zYyu5wkrbVut1vfzeRAuV6vt9vtZrMxK6hoRVpDqI6JhUdVRXp/B5IGgoMXUHBvq+YQVkoZYKURIklbw2KReVWytH+cYdaaIx6ihpHXNp0BWez2m+CCmFYKIGs11fmEU8ZKoS/BPGmXsXhUPP5O+BA3dOLI0iPh961XGxeFzpVjCTO6OKI5ewMYj8gCX7KsFFoOqJRhLZSCNQppGY7xfBFZpsW1hbbln8gbn/qHucGH/DDSZeq8g+dU6kfLExeqAzLKdo/jiLMBOropwZa26AmHF7kn+JhgHwQsUU4t0dIsQqdE1aeIULrBd5870Tp75bYxmBD0uMMCVnoAlRfcqVQnha3O7u/g//DRXKJQiCxtgtWibghuKWgLQkFyIE416r8hIQOXomhbgcJoByn5GIH45hYLZ+9xoMNGc9sNGyqxFGK/vOwy0cnqFY0jdfbx2PnHvIwsORI0POyz7rpfwzCYNC0/YFHh1vG7ctqUaFfKwd0SQSBMbPxrLBl0aAt9HsvImsDUlnOIwK4cOMjJFwCE/zVpswLV4W/3IqHAxEeFNXJWY3A8t3syGO4TtaqRhW0HyjvoeHsKnjjGVtqFQsgD945DKKTUSxCmDnCGATCQYS0P9jylhEyZPw1JBhFJumZr1IkBE9b/z3n9SuWzXizq+QQPcLDSBL2Aihlt68FqyePj4+l0UjX0J0XLNHT2ZHHCgGEyMRFrczrs2qQoenDu+ykdA7gIvjoVClW1dU+Rj1x4t7YWnj/DlvI97HqwcHdDksU6BSsAX0pFutJm4zi/iwd2b6F/9vlCPIoxFPyABCtVaiNncZZopc2suzqVthC2oxUkkoGjoxVGWymA+iNPmzE0fTQiPkvq0qySziDOZbIa1RO+n8g+vrQEwcVfkaiu1O8G/TQ7PHU9F53Pq9W2RhRo1f0cOlNbp1II6fzmMXq/g90WS3JGxgzTEe1X/RKtG8oCZVJOeKC29sOvFKlGnyDaDzh9PAAH3z0HinyTmaWkWGPmrDaHojxafNN5D0qHFzN68DihLANIKa3CZOrT05H77FVoYcgoUYdhVWoIBLKyxjqNYPbxOv+/n0ACTwwpK1UVbSwtTBmL/jy7j8AfG3aabyrFw/x5961/9p6BYCciTZ8L4oVOc4SAIFH9Lu6slHU6S+2hPbEUH1gzGTeNvHp8CU4xiSbBDQKw9HcfeGDIXjMW4E4QRCNF5SFVR38JJwJSBLIwnVOc7ctUJWap+UmIbSDpMpPbfTrQAaYA1InRECNk1cA/3YRgU561DoiIWD1D8z+CMpgLmxMWLVgyRky+8PMa5Yv+TeTgT7xGqdRBBdMsi2oG1XlNQ9pWxLktdoEsOWU8J92U2/u4nQEcDuBNqa2hPHsteQN2VgrOrbVXeH73NNzDK2d8Q61VU/9G5iIrcCkladMMVagvSQcxKSVV433bficYjKAP+B3mYo7aLOogsNAjrYnAMJzZFosySp4IT0rOgT7Uu5t7agvtmGhL/A0zPqMtdKZDHOZy9yU9p6lpYC64hZBwSXgYTHy/4AZy0mR5c6Btyjn7agD/NUcjAr/Yr2TFBjsy9QY4S1KwFVnY5Z1CNuBj1FtenF9jkkIIgQ5KRoulHZIDbUKAnFLy41JT9FFw1PbjgIHmGGGOfhS8tivUnDzHfndfUWIDL6HXFjsManR+ELPiPnitFlU/4zhWvyclyXmF7hD8/5SyWXGB8cmYJQAEO41YcwE5kMVg2rEWaex/Wa/XvCgzJbfy7CHbogoA3HKUyXESIW5ergHpfCXVklKyqilTz500Jh1SSiq5ytF7SljVMprGBm4LrwfmF3NZfq61euAtbVngEj1LmE1ZYASkkHV7KeUWu9pAsRoZrlrrsN6AemwqWROMLESiqwv0hPxWpchF4yhV5i/QFjIDsclZXcZOp6Jqqvl43K/XW7OimlR9MKaafDgmZlVFLemQBhnyWrSejsWk1CL+vWi1qtVKGc2kJB1Eai1SrSYdRMR56ju8xZLZKJbM76njeKqrdV4NGxEpo5lZTqtqYy1iMlpVk2JVRWaTwyggZAAYYVNK46ILT6Xdj4k6Cvq1orKJnLN3Yqm1+q7jTFUz/sAcFWf+ND+Zx8x2u12m1vHMEaFAGA+pcTKS10MjeNSIjlPUbauq/j/+9//FOwOVenKKozNLHhS0qzbmtMqDjqdqUrzfVdIhZclplbKcjsWfg79G1WNj2CFAFltm3OWGcWOsYe3iaihQv9Yx59ztAECk2gVx7iyorDzUgmZ67Pr4+AhOg6DhlBbVPAwp55WqlWLjeBRJOWtKg1nxvic5r1JKjBS8noIsO6wKTxAhLr7kins2aPvTsft5ipWC1DZ2cDp3uACyKIVa0G1V1Tq1CEE5qZkhbhcyABDEMTqQAq22261LrURHITDdIyAINA+M5RuXWfHOQcfTvoyWB3WsL6OdxoNKXq2zSh7LUSzRhuDJ/mn0TvKAbPm9mXrnGqUuSw7mq1XOeVXr6Lz2HjelGO7E/ap2e3u/2axWq42/xZ9cSpHcuGn8Ad7BGIfeDMNw2J/Y9vh6ZV10VACttut5jZJzNN4ECsIA3sEPynRBhHhh1H8+jnObRI1iyNPpdHl5CViZ7X1KXjeUo4ub90IaUhbVrKqprlIqtbq0RSpIiqqmbGrOEtFkOlX0J1UT0WpjHadldZEiIiZFTMSdo9rECEIhGBs9lvil8fzY5UqVdI56oLSo94G8ejg6nvqMD/Ns+d6Ukk1F35h1TWkIURYIrg+b95pjABxndQDKQQ3/ifEoTHo2M+8uruSzsG8shBf8Fv5TasPDHtAj98yRtojgzEMGRFX1ciwfZI2zMXmaSp7dUtlwFdoKQE5NHcdRE2qjPJwXMxH1WZuImLiLVE2KSJ6+jH0yDoYio/dIEvEowM2VDkMuRUU8HPNV/+n4U4eJUqpINcvu4PuvnO9mJqIiJuIxxdStyazhSCcMM6mDC3DPD4fDODY+qWt+PZdehWh18gaaS+uYA0rALzyHtU9aNfR7OqhSVd+NiQEgcalkF3HzfDxIarNNSDrwZGyRwpQFaixHvFQeKAbmCaLwxWSVc9dEtcTVn1MEW6nDgIWToqplnEPo2qbHeKj8K4wHz8xR6Mzqiht8DOwynJ0Of8/8w7z4+fg/gl4OZzrwYh51IwQ3OxDBX9EnMEfbGqX1MiGfVNucGh5SYl87TwefgZsgOPNoIUKm5PphAF4PopSwQwbB4glgX+cd80uZ5kI/NFoNYL+vxsGky6Eic4GfTGrVnnPEXMCL4OWdTic/84DFBq9OtA8WzGXK8OdO5JBSQEwAFozRUs/Oo0xf5KGUbfDnwNvinoT4SUpp8BVHjt+QwoHtxbh52ZyFYzk+WVzgZaV0slDdKvMY3yyDi/aBWmvNMm0+MDLvE4+pCgvTtHMRCj92KX8Y0lkj0I3NKCrBE9jHgQvagchS+nmoUxy0Pl/D2sVQQjrJoKALf62bCHrr4+2wgR1TEu3R13b1QdvD5ziz2Ik4CMILN5ATVd9GNGuvxaYKdBVgMiK7z1OW1sYyUzAvoeUSCe1VMoedUZSFkGcq+wr9VI0NehA2jDbTvgrmkWrvleCxic69xjMBPd14FprSwA2oUamaiSnGICUz4swOFFrtqCrOulJy2wEx4udk48ed3BsZSY2wDQ58BzTs8S5F+ezFSFwXxf5nedkpDBST/wrs9y8xZ4iLkp/CY+YXMYCylOCH+CsN5jzoaJt0wABsEezYOVexu8qi3wq4232DZ0KLeJzLVwCV4KVDtlJKfPSCUiiHq1JWUiLL2JGFRRajTdMJPCvQhIRwAjtHFnaBlx0h/PMmKu4/xpclPRkQwQ62QJB5fteSyx3j/HPnkzLvEq0t1ljcOOxPHYm6N/ITWAeZ0Z2EMGHBJoZabfeId1TleeHhIJpQAMFlCnz/kBYrO0BxljxpNRzzV8LjjhbTDBf8YOPAr0hU8Z3ORZuYlc0WSdmT55l30SwgPOd5HYoHcFYQlbp5Ca1MLymAL1Pb9hjjZzdQQplRKc+vgIhIu+XPn787HjoVSm1gyG8BoTp5xTj5S/6h0qbnTj2kdSuwRZ75VWv1XvkW1hLvLXHMLobnY8BDOnYcj0dNZnFqLTLHmcqIIU4wdZ3YLFNC3VssLBOrZUdSNtEsIfyEJSXh6/ElsdW2k6thGPZ2BCjgwmA08D3PNda9ddc2WcMzkgACixCPK+k7XWYREjKQLMBCOwol4hLQAYgzpEXCJlHMnKnjmYbry/xjsuLzWRTEizGZJb+HYfAV7u5XfBnZYY0e90ZBllBSiT18XTjYrDmdiGAijKRgmJCmscva/YQ1fCl/ndp3E1zKJZ7AuNM9tlJGACTtzDUYwWEj88UfOND5E5BFVgz2ihOlDEBhQAxuk8jjdNPX2BjdsUaiv4+Gl46yepTA+G3uN43jWMYzrhy/Sz6OCDwwHoYjKZBICeLxAbkJJejnB3a/wsAkomklk4ZABuUz2LeFgTnQjMdmU6gsQBYyE1Z2PscS30vs4OkkVlVLOZMPEpH1eo2j2Yfodb8U9WmCDHV1kTHR9jzpRCvwnQYy+TqtYBLgIbbYK8CPWnL97MP9ab6PCVDohNtut77t2Fq/rpY5smBR4GKB7gI/upF0NA2uNJvCcSd4jJeW9kRq/N+HwTW+gIPabhRahkJLmrMPzITt5Al/9fKqRGWZEijASITfouEAZucU8MVvWLwUtfBYSYX8dPVKGKRTXQjF8IQSfZsknII0L6BEQRTFEdZ6rzwvIaCBXyyObjFflD6kNv3BxGQy8p8G7hwe0GxmftalRamxvxFEY075/V1lA0S9tk3deTwaC3ZK2V/v8QKNE1LMpQIy0ZTMm6MeNoj7Q0bqdc9aU0oZxnEEFPmfV6vVer3e7XZAVgCeX8BgcMXoaBsUsIpIKWU1rI0SEJjA4XDYbDY5Z3QGMjM/zlXisKicM1qTcF05qC9itVbUejKaQIK7L5M2rYPOYFablx3a41xBjf1+D3MK+XCF8RnhHByLcEDaPJ/X6fjAUko4fxLICNwEkV1pwG+mCfb7SHus8NIz93v2+z3O0tKoV9rtdus8gHdCkYiv6WAkkCH/wEbYRdmTO6igdVxg19jIt/fngws+yFKKWTkejymvcfAm/EeUU8Ndn/ZA5jnHl2grmS3sE97i8u8DxsEyPt9M+5W4IskpA/Qxs7u7O/8VtiB6Iimvz+SblDIStdbdbufZmVJKTjNKdkRW8hYlsgqwOtraezjXPlmfnUTdcwdhLPlgSo2zKzebzeFw8Nau0HRfyYbAI2uG4qkUBbellKlhVaGtqLVWNPeV1tJKtOGB6CRKgDNA4rfclYpJNsTFCm9RANYBxLhotgpa5JylXfYDOlibBp4ch490sLFzXoyQh2ztmlSmamNGH6NwaSlV/LqOULVNfrVgej4fzKxhc4qJA+472ygUufCTlYImaW11l1fCSy8uLvxLOPl88WAg5SApl4Sh7w/e6D/kEkqIqEOMtptopC0F6j58jL+gfI38pU/WlQojlAhSeMuSUHLX20cN7clK1vqh0roJuC3FZXQePHac+J+QT2H655z1I/MCTbo3Mh26MQgpC0Y1jrPBTlHdauRHlziW222Vv657y+Bui/MY7cJ8pXDJGIvasE6X2ETjAn2VliQwZ68BFTLvEsaK6WJx/iZsXQfw3SChJzlqbXm0KSXuq9rpOX8JAeXB8OvYhsAaaNRWoslApROszkoDwKhEI5hOkrqbhd7Ij12ig7YLAfy9UGaue9fZlxo1i+ikFl9KyCj+b4uAusZOP2sLPfjVeH5KScT3+CnoA3H3nmywrjX2UtbShJ+s5x+jP5Ox0hI+fp5pdyVrI5ImRicCCXUCqbXiHywkHQGN1uY0omkPXTXiRBDKFhkJaU0RxElafYRI8HtZNhiOaZzzZmC43tZWn6ZYYl/udvZrQMslTDK13X06AcX6Pyjun3GWQCc3ShCTKA2BPkAQR8QOYDNTrXtsncLRWiliYixbYnm8uhlhN9SOi9r6q2AMc07+/51dy7bjOm4FSPm4qrOSlf8fZpxB/q1Tt/wQiQwgbG2A8um60cDLliUSBPEiAILEKg4qhlkkl2Q+52uGn48NabSgeXlMYzm/jFwnxcFrUd0d0LL0XBsseOMvRUXj++PxaNlbh78KfftNNpzx2KQCyeUtoP1yyuZcF8sJq+Ccy0kX2jnZqeabqnqGPu4At1sUqOauldyXM6Jvh+zLSAMwLBcwWXhyvVjSCfm51GoQBl0UzIM4AQBPMR7mToW0qVtqvoZSVfb+unWCxnkO/N2Ngwgs/7BIUVJWmmu1WRjDnxQFD69MA8pb+DMt1v9ok9mj07YX4HSMITK3bbM8hYATwAMAM9v6j0uSZbzIlSBgLuVxlb8s/G0MgHywNVYslZ/fsIfkiKPvH5FwrgMk9MvKWYi7GHhVlQ/IWf1ifnlRBRAudMOnkX59fSE9hB2CxVYPvNmcs1mKboB+Ziyl2XviVaMKDj8hUEigF5SyNOEWGqVKYYJaeLWF+IKtXeb/1fAHJKqqoj32rMPljDlt2UfTWuvkv2sUroHtDwwwrZZJYXgkONql5NfXjxn7dWY4GbHr8Pl8uuPGMYBqWJNinc13Xmx06DI89p9mZZ0zoxzEMhhV7b2e5diyF6PI3dI+pIxnhbF28v+3bTM5IzsAhq0zIUnnp2V/GgtDbmEjgEQGVSbe6KQItr/4O0itqFz+AhjQC+4zNfOL5T5omqUM21N4ns1Glu/MiiW0hM+WXR54xt2lSukk6OJyyFucTgc4eYAWOiaY2WE+uRGcz2FK4JxprIiYT8IatpXGUsWR4DEspk+/wG/QmvCn8kiB/yHJ6ufJZfps4eDzPXnuD0LOF4s2JgMz69uZZ8R4QP5RoYFPrM1s2Oj0rpmrBTgXfH19FVsb4mkVnSKSNptw6yUvBsPj1Al+npmZJ6ZQLS4UZOaFHKSyhoIC81ySbHDmCSSgUlIdskhroLUwOePIP7EduUyYkmnKiOKHMYqdDpa9vLhrpidbbBlMZ3kAubOF2gr2WsQ+NRvtPGWX2GYfBGMSOxLw2bLLjHvROIFkRIUz9LUyEgNgJFzwU8klCdaymRIU0M4nc1vDlimEOmifF6MF8VCHB2YXg5raiX1ehe3LvGPsk2rSKnkbOABSGuHvn+5gID3vq+IvBTCOn0w6mRpyuffuZyGAqPx4a+Yg/3IE84XC1YOyZsGoPJGAg0EE4RZYR04ehe2HECMjwu90Su5scU7V79+/eQpZEESVEBNr2kSltyZeg8JrVthUbdZ0a59XH5ciBmi5HFq5CtMaufQYn5dSA/RUqOcTtOUBzSf8siQqkUvukV+HhGIbxLKJwSIGGIB8YUNPQz2gWbAidlcqJXnCeAH8MRFneQSQJcxDpB1zSHt/ey2kTcSBmVGHwa7qIp3ZGGxuQLcxSQgpD74abcIqFCJHrq30fgZf/Bp5SyAwvL93oyMK0HvxD+qVaDtFVVBCoTQlq4pfwRfgH3zqMSas2uA9xCkOftN/csiY+90ej4cbvY/HAxwOpz0ieQw6M5KFxhY6TtjYQSA30J+PECf1eOPul8ZKDRa4dwFIGu2U6VH0xK/etfebik4Tm6Zb76311szGbDJnN9OgtqTTjEInQLHH11tkl1nTqXKM3qapuDzYbWrT1mOrjoi23vuZIwCY4ezEgoVXNDw3SkfzsVsn2UfTxEynNdWW29mneQjqwM+Yr9f79m9n0S8hr02j3EhkgvTe9+cLVMLSRBc5O6OmCUo9+NzNqKg0YhueUxQKCaFwOuqraq68iZyLbXNoDX1tUcTbz07c990LmyFDbB/7rd1a26aZ2fC6SNuti4io6x4T86IkBw3A5STkH2yxdcuNbg+voHiKVxHRyIvx0uWXnPLjx9cY7zHec6L+i4wxYXuOMcTOSBkyrXi8Xs9lRFUNzN0x7/vuWW8QTxqL4kZ7F53dkBVZ1JK7deGfRTDHTCHBzex+v/uM996fz6fjH5mHLkbwsEU84TzBFgzmP1E3REMxflrRMUV606zTbtsZ+WaBqtmVBdXxKcYBPSZkwvlMgzrNhpn/68pKRUy1+5R5R2w9MVSWDYeiHIxSyCxv7WfJ7VIAgCnFpIwWUxAiktfPM+KjPuVlGQKhU7QlvhfNtj6s2TBhE9XvOPWU54tqKte+n2cqYBQgdO4d4vLycq6D+kHj7mgs2FZeYiyFVMxszPecXm5Gpmd4iImJiFvWx6eIHNXwCI34wrFzb/l+v2Otx0sYdrfnYc3WNk/uNbM5zzSllrb8nK4ZqCXn80N07juiyAWfmEHWAUb7wvCwXhmnQBrUOZqSwwOQXBb4DtMBStHf8kUTdKqj6yyuJSFl/I/VRy05UHJ5sUA50Hy1wYyFly773/l50I2n8MBL7doG8bNCgqB4yUyy4gtIZy7FKlRo3a50ni/X9CtMaKFqGLGIwqB9DBZ7WIA9H53HYkbe8ylBnWVQQAJPgZJduUpDVmVQ4GOM2/0HMF9m9nK64SXFHW+nX9Un+oZ+kPAm5DIfo5r9ZdTgQ4wRelVo18iI9NF1LEaaptyESQXM+7YAxxtM1B77KhiwgMdL0rRIQ0tH7lCPJ90i2Z3lXWutZIr4l9aa57OU+0A4rzFX7KF9eLtnzqaxnG1bBBnojWUf9Cuk/5xzYyKwSOxjkcZN6Ge1BgggZf3h/Z1YnSGGroCdNpYTRYrgQB49gBmUCA/WgmVotZKAgfKKgEO/FhlNxzS04+FOm4A/WXZmNsfoUfRgz0fHgqt7nFBRcpodsEtrgidYMlf7BX2Lxw5osx+BpwnjKhYiD6fAZqQGNPSEfC6SVppiyi5TPPImAI0NRGaGQaI7RgUIQMMbzXg2WkToVTaj5vOnQDC+cVfiXCeEzH0liL2dLS7QDI9RVfYx3EOkuSxLwiShiLlaSJqAXFeTsNFWA6CiRbK/kJuMne5GCgDYI+F1YTEwESrVHkc7GjniEqdHOLNsI7hikkOBK3hz3y1XkC4X8z/TNAiOW5sUnMKwy6iYCrHOF9q0OXLgA58zh2C4fSMZDOxjPlZCYT2zzgSP1H/OwHgZAsRKC1e8UN69kKBkIwg3J5V9AR4KY6802nsf48zjAH0DbFAksMqSpUiZchO4bTmo1Cj32rKZxhTMUEnkgnMIadu23rfn8+kvT4rpQuiXRR8v3MByvOQs8IuIyulDxRKV+wL8mCwMBIKPiY27aK01sTmPPVytbfCV9n6jF8+wsae6lZWRD9bxwxNhZmMOSF4h9y3PXZlExgwARsvM6aAlowsEqaRmeJGL+wDmWB9xsrZLXEyY/JmUaeT3AlhjDJytB4DQYM+JBvBKXiKo0xmYWJEqnXw0KHe2yEfE5CwiCN6Uu/HmnDBHE/25NMwrHTRYhA7jSkjlllGwRQrhzixRyEWygBM6MIRRJ7T2LFJy5S4mJkychqYtMK/ChfHDAotf2eIwrGIc8bulC0gonrtPhq3/bJGExgTmddsgATVXShLiwOOLXbQsxHgQmpKPMSmM17JHA7Nzu932HRLq2An8fr89Vc1fYVvGNT1Ghy6c5julXx0sRhujlbab4abQooaRALRDggtxOu6DDgvVub9ZKJO2rJFBY82HOuKgXH/NvTMr43GXl1dBMfOqZjsNYDXyyMByK/MHoJkN7IhBbEBryxmHn+hbrsiaUY8XXXW8xnn2zSmbs3Tgi0fE0wxpbma+E69wNbAEqsL3VQYVWpGcEMVdY4DrdICFWHrKSNUkuH1u9nL2eR6NLErMzicVIpHdh0lR3jrbzpsN2WvZ69SoygQLERYBTAYAY1DVfjymEXOBCEbsT8hVV1CE9o2E7yQzCgy5URVBVdXsl/G/ys744kxgBkFfQmLCI3ogaQsX0ojoJ0BiATSzE9DMxkina0mmQ9xnegOQePGMxrXYGdFzphM+IRo+ERk6dv531prjRAG3WUihNM78iS9YFY+oX/319fXr1y9gE/IetphkT+eMkCRfFpFRNAIO7L3b/mYs4xn2zzGQMAl5JoROevVEbBG53+/3+12zhW+0NBi0NQl8VaawLKGZqvAYPyBZmPLDxxpknNKKaRcKhgerV0rIaB0Bian/yhZ2x2rZMeAHIV5KGVm0glHutWaRsVIUfu77mZ+FtzS2VvU4N8p9CL9//3b6kZxa0lpDfZxyvV6v3jWo4qy/5fsoDyAtCQjYmEJn9SLyyOwjtI+hUQx+27bn84lF0CQXJBOPha0HutWsooBSZlKMukfG6cks5MYFSZjZ1qOGC9MxNsVAUKEPl0eN1oreK6+rOVKrckwAFtIaZwAggDIomeKTudTpPKMtqrr4vgnUZEHA343SHpeSs9kvrP8fj4fFyqsIOwtd2imHCBvwIZeVLEwzm5Rt1SgOBYZUiozOCGYZmXKQaOhaMtNCpSCeMsZg+JX1ZHTNEwpKZbpxFO3vN+YIVReAXleSfsjO/X73UmFAKddzY4YHJIxb0CJDAitGwmb0ipwYlHcnFAn2570gCWtpyYsONMuXmd3vd8hHzIuIuDmPc8sg/n79+vXz58/b7eZIQK6ZUAK+iPD5YiJJ29vhkDZ/9/l8jghZmpmnn0DBYEP2/X63CG8rFbHc2kFIECUOrRdvUlWv/ALugHYBzkHDSErgejGtnYtfXs34idJGRfw83M4UBWmQNpUzLUKJFSu32O3FeXlxmSrZYOhF86qeNVVpgJkELIdOcb+wEw6BFfLqMSGiX8sRViZ6M3vub+Z/n3WGs+hwFigrSllVYiBMIvjZaKUDvjU6kUOzJYWoh2Z19OnMA8kqEcBjdEr2i9DyViNBCZEpniZutojXy6vM2uUDIsYPQwowWvClRJSBjSLdQH5zJLsPVLGiSCmCwziUEIj+lhPedtQzfe37W8QYE/HNeMilo0sqKvNlR0WCtNoAKUJ2sEcf6yO/AzWvcXaAkTcqZJnyBUaY2TNo2ZloeaPpBtJhWPMcp0rgjby8/PAnKVNkB3rBzwI9Czgh2oVunLmsMSKgZcBoDXeK4VfGWzQ8rp8/f1p2ns3IOuOWcb1+PzDwQhOSDRmwAQbIOClAAttY0istNrmjkdMaCynjO2ODX++k/welgDdytbS8qsf0MQJ5Rsq8lGegfiWLqlOayOBX+DGmsRVpjL31xWOJsZ/NMkiFVtH7RrUTeVpZImPx8nq9TEX1FGqSOdMyXzDZlzEO2leFiVbVrmkjFQMGmxd2LgxPBt5CS43FDO+97/uJukZOsQIwo2jtYuPBsJxjisQzGidUMH5Ztq3XbUuWLSNiUnSAATXiPfSL7vCYc7XDAyHF7TB4QJzvh1I6Vk3C/70Cr7G4s8zGnljNYLNa4BbwIriUb1qu7ytEZAzPJXcBh35h05rR0qN0xxeSvJkaRETmuR7BxPVIhuSb0H4r2hnzZRKNVFQxRQuEZiZit9ttmiCAiGY5+UBjEa1R50hyGVkwuS06TDV5xBmB/i7bAkpFSDRUTosQJ2uCGRUO2o0Ls6fpmxSgANkr6XXmKRaUjOfnePtSCID5fV/yzDl7ZG/5fMG7rFn9Y+CWpWGZQc0CvTDdzMcc4plNFyumEOV6n/nhb10MPa/xlBT7OtQyDQyD5fX/CnwBW7O6E6I/dwwVT4qZ/fXXXyOyPOEdZ9ggd3xZ+5///h8FDAtfz4wdOmUKlTw7kn0T+BevDNpBBxGzSpZPiXb/8pqUcAiqghOE7WRme16ZCnG4ZrG4flYZt1xjjGmjUIsuopxn7c8HK1S3ARKw0LlkukX75bu7J+Bt7HF+yDATAbWcvUiEtyRMIaPwHA9thYf/3feXLVpZIizFxFZYjFnGclEx/zKvyrkw0V7Cw6yBzzNoz7JHMnvLIuH4FR8M6/ZvrkINBYkjbzKShV1BxIHiZIAwLnhpDVaEzgcAiNqgJj7DJiI47YxnS1VRF9a1qO/5vGSYIpJYIQuRmpGlAy5dZQ04ivGjsZe9YGOM4edPMSR+IYu6wNyWlaDSIrx0AW8a+MQiFFhIn0nLKKLB1L9Ot4i9Xi8/owLyjqHimeXWLCukGSfP8k1MpV/cmuZaAkKmjeVlI57BrLmg8e+eFYkXzXhdfOBBs6uxdAeSKPwoQY23uJScCUq6gamLZxzogi08KI2e+tLSI6aeKbCIDg371//aLklNsy6Vhfd4YsZRU+taynDLmFEsXI2sRAudX6BHj0zrGrXRLmFrSz7YpFggMzk+2enFs/KP+z+8hRFXGaDS+Seq+vt/f13iAQ+DT4xWzkVpzKjSVC5AC9sHJoMH8tDOSe52WuxMrDO71c6xUFmpRo4wNAvMYCoL8MFdpx8hSbEr9cgUwrN/PJDTrIGflcB4gIUqitQWMLYlW5g7YsAAFdDIixpVfT6f2CiIEGdUnxA0AltJ9QgS9bytcQUD8DOfghK+bl8uZYR8N713D2/BJ43pLtgGilaO4LFbNlIsawimH8a2hhRL5zHx2JiBeRq8WHmn3UAz1xYpl4chLwVNy9QDOgY8pU2mfgnBsW3JHEODOx3Tw7jDIqKsITmKabQ19p///CeU86Qd9LjjJHV2sUhnJlMof6EcLc3Zlv58j40nc/GyQ0jxTbTTo4zjpxlhmuDv/rO3PsbbTFSdsOacNsa7tU3VVPuc+xhmNlS7qm3bD1VTbajnoqq965wa2+Jn/Ktmo7WbV+EwG1HnRUWmRXWOUv/lfr+LzrNa0Nxt6rT96/ZjmtcPmmKtdWm6aTOVbjJQUUh0qnTV3e/7p7fm9RbMTjIAKhrVLiiMBO11acu4TUGk2JsrEmtTReeZnt7zZo51XljiCG2VkLxCdGnCJqfTgIs5z0WYUQ7GzNxmYT5SsulK7y3OMGDRJmGNsmcTLbB2h7LX//6f/5rZ42W0lRNo9UZ9Y3TBhf8cS6GWg8Ntw6Ka9RiG2mkfF2LvkzypYGYWRhjtKmWFdBo/73/tNlEZRCPVctBpQXs+T+pTFqJkUXhKSavBTgiRSzywgVayjVyGmtnz+fSCJo/Hw72JTFjYfQZS8BZ6716pgKUzC1bJ2vXQe2N3LnW+bV1sqslour3ej61/tS6v5943vW33fbxUujYTa6LTedufeT7efdOtf2kzmzrm29s5OVyGWPN38UzT7fbVm27v/enRn8iTEq+ioGouocYwl3rIB3Cpp9ttzt314Bj2fj9F2ra11jaXa6rW2uZvzTnv2+3xeKjqFqWze+9+UhA4B7aJV6J0m4WrCIkIJ21hLtqRvWlNujR1iQhdZWZDThF2FAc665GnogoOyYjERdDnj59fjqLb7ebpS25VWY7iu3X5fD7v23neE2iYJSnLFFV9Ps/T7/gViCGmZDMb48084pLu4jgUdAAuKrz9/cXgfvNWWdRYrBTkg5Th9lmgfHMVeYSm2JYZVAmlyGxG4jfDLA/b/nE3aYGqKMlPV3nGf4LyConocn3f+LKOCDzrFGnnp8lxUMR5v6sLChkqvglApZmqmgyz4xmTYTNIWaIFo09R//Rw9bB3GzLd4jRXlZuZms3YPO1Cv6sOVReaLUwhE1E76gSL3/Hn462WP8/cBbagL2fnX+KzZZ/9qe1MVJqoqDl830/IefGcojVAAoA9pjajcgvOUOQsYZD9JN82DxOCo5DT/+MqHO2tnaBAePM7WJNrtlwukcJY/hNocLEpCKTgGf73exi+vyDIZoRLGoVO2E/2J4y6MrbT2ZBrKVPk19+CuVyT/J342ZYERRbTa7O2bBw7xv5ngBVZWawkrEZZfEN1fRopu3vwfeUNjQULjw5diCZHzJ/Q7eXPmd2xmOLimDvxlhEOlP5dYl15sNzX7Avbx2tQDv2MQoU8QZOqo82edhsYGbPleX7sz691Uszs/wDe46qLUF4yzAAAAABJRU5ErkJggg=="
\frac { 7 } { 3 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA6ElEQVR4nNVTwZGDMAxcMjSgFtwCLbgFXwm+EpwS0gKU4JSAS4ASQgmmhM0DMjEKJDN53MzpZUkraVe2K+K9nT7k/wJQA+im1XHNDoL0j6OJfLUaZ8mCn1aOZgyBZDY7tYuBJBndIWBRkYzq+1udnyRJSq8LbSg7pHlPX7GoZA41oAaA69Jg6mCRYPzqCbwAJG+4kCRzL6Zl9k0mrWtJ51eZ/Zaa8aRtSAZZSdrtWNc9YvOX1z2Va6tVDsB4jWVouz8X4qWJpBWxDAZ2UIDA4abfgzK99JLknMZp1AXbDlGngeo//KyPgDto8/HtcBL3nwAAAABJRU5ErkJggg=="
\tau _ { \mathrm { p h } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAsUlEQVR4nO2SQQ2DQBBFH00NYGEsrIW1gIVaWCSAhCIBCyABJLASioTfQ5MyJKW99NbOafL3Hf6bbCHez+nD+68A523tMlUAGEdonrG2uZbxsUxMz9ADilwlSUPcsn2Hql4B1vC6ZC4bWoDZDgCzS5uB7ADfIfW6WZQUXOiBapF6BskOAJOkaFqcxM7CAJpcZyfhLzkaQEidt/QWcwlAovMSW4cUQpIkNbvrFv9f/SXgDtcswwFJS2biAAAAAElFTkSuQmCC"
N
"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"
[ \alpha _ { i } ( k ) , \alpha _ { j } ^ { \dag } ( q ) ] = \frac { 2 \pi } { k } \delta ( k - q ) \delta _ { i j } ,
"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"
\begin{array} { r l } { \sum _ { \mathrm { k = 1 } } ^ { \mathrm { N } } c _ { \mathrm { j k } } x _ { \mathrm { k } } + x _ { \mathrm { j } } - y _ { \mathrm { j } } } & { { } = x _ { \mathrm { j } } } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAAoAAAABACAAAAACv0ZliAAALJUlEQVR4nO1dz72zqhZd3/29BrglcErwlIAlmBLM6wCHd6glaAmxBCkhlBBKCLM35Q38h4oJGnNOcuOaHCO6QVhuYLPk/DHYseP38NdvF2DHZ2Mn4I5fxX9+uwC/DQGw3y7DJ+PNCShI8ND9SaEBcmooqGX9lwGQGgBA6Q+V5FPxxgRMpJZgle/lRVn/jeL+3LdMOdTX4Vr/lGUBIA4AQMoCIDHzIeCkJEnD5HQn5T28MQEZE3LB5UogJgAsRiUyjwHKRGdRl6hqdxhDCZz8eudJSSgASAG9oHyfCvPOoGDe13KgGp65ILL+GGOMiUG6YwbqsDKToaMk0wx3TPHes2DfAZobGVIA+gDenZLoO00FRwcqxfTc4yX5YLw3AR9DySggvmXeE80ioFY7q34AH0zAUkeQYYiqn5VIy5XJPT7zE3jjScijkAiSDFBZTzSJ3gPKvV/9CXwyAclRcQZRhHnrAxWQoDsmOwGfjw8moIA6U4AFh2Mb7ZMIuglJ4pqD7NgaGxJQy4BsZ+3pkMCJAkBElYjbc4HVHQ8I2HhG1R7Eu3vcBFsRUCZStzHc90BPNqpUfaA1SJ88HAJmowOvJZIdd7EVAYNKf6uNbP0MVDf36HydPfFVIwI2C22JbA72/nkbbNcFE/peBOwWz6Ru2SSGk+CBP29+kD02sy0+Nw7YvS5JN57TIFYXvPu4n8B7E/CBxX6tUK+qJYK0M18Be01k0Yxqlx2sxE+FYZ6i+xQSUq2cDEhAhjHRhSBVY6JQULqhXab74yeX5OlQpabRqwYonkTAEIAlh/PSfY7uuZ+HUoD+CljandKFBvMjukBMigNA4rRumzJRgPqKcgBJqQD1lca3bdwoyU9ClwoImE0xSx6rj2ClTK6OpAFK9iBHXYZto+4M1hGwFXcC6OaHw8IgDfpppJ/ukwMIF/Rljny1lsLT02qQNLX9chT1iekyJnmLYp+CJKMBERnhvagnEXl7qEN9AftG686tpCH0dxq5UzyL4TJsG3Vn4CCgUnebkN53U31E11f3uUEXTVMxI5eaQIKtyTJ6ualJKFIOIMkS3bw2+qCrztlkkgO09X+DpCHiINSeHt+BGcO20ZkMphLBE18nLWSW/tLWYi7RfT6s4awwV/qRPhS4PpbTXfyMIDVHXB8EwKU+ion1aAQn6+pB0hjp4NIWcxLcIWYN20ZdGThmwUt07j5Yo/t8OqQVcXlrdIMh1h4XRdw/mtB2PH2QNAGnR8cAaE6CO8C8YduoK4MpAXU5OeWHNq4xxkvqPl8xzFcmSbYimF90HqNu3QxdRyeFALTojFpJQPsdixAtK2KdwRcySRIF1RixDdenyoOcGnVkMCGgTvo60KLsOSUVIMXcHEEdvhSyMJmm/I7u83ZpAWoN2V8D2d8FQfFVLLyNoQlYtmuHpQr6yhUSVHQEtJKSv/80jaXDsGVwAN/cVfhdKPmdZGE5NNzalYfyMDXqyGA8CRGFQinriV2hGBHHNAIgjxI8KgJ9iN0TRHqaK+sv6D7vlha+wZotMe4fhtqhYxHnAAuPC1UOnNWyRS2AqM6mNxAjhBUbspJS0srNrMZg0MKrXmSo45RAJ0XN/t5wbxeqDozaRl0ZTEaF3TD+TE/GGN6MpE+IuTEm9xtYW+NvRgLCq4oT5O0pDrAW1JqPbDcJcZT2xz9SG2c4bsVBYlx/VXcGzqtzq9uNDaZhBGn/Y5CEpj1SaxJIHFM4NqXItf0G8NI8hW24sZt3D2gbnWZwIw5YqiQCeFYyACAQFwAUfu9Ij1/Rfa4u7RMx7vNtT1cWdTKNPCJcLsgMQe3qBo5Wa7t67aTO8dlj8MAviJUp5K0RNjLc2o1VO9yzjU4zuEFAriIApFu1X9eUC3WfNsYDyl4DWowmStE0vnSntOHt5PWYX8m5FdzOmhohJwAQYhJwnK8LAIA+grjC4XJWN6bQdcEzV8xLcAtEtLl3Ml7o7AZ+i+k3CEhOUMKala0LWyzUfdoYz5j60ZEavUiOKrxTWt949WKsUiUoab0wZUID6G96sp9qvi4AQIcyyF1PLEBnKsISQc4QcFaCK3RbWjG9tzfnt1nOraU4kSHmxH9m7sRC3aeN8SvdP1A88m/LpzFPWz1b1YMqq0bEIeUAgmN4th5rvi5Q88+9wKFnq6Z1XvMeYFaC2y1gaocH7FvZr8ecIaBSDMUxnlk2XIKFuk8b80/gvWfVLH5haDju9Wc666Ju1PioC6vTvlVedZA8BYCEcIDYPnjo3uwk1RNw5p25JcGt783aey3Dqu17Sj/yzBFQMCSkrYBHora77rPFuNe32ECsXxpFBABEe/bm5ZHUC+u6yDEa5w+r105qeyY1nKX4jLPaa3TRjfd6w63dhLa8tY1OM5gTpFIIHRDUBPKtCgc21n1uD+EtX3gU0/hGh4A2EVp9FCmLAEBpv1dTHQ7xmQHQZagZgMBaSx31r1ZS+9BJNmC/V88QNawIO8FTb7i1WxRWYNg2Os5g6gEDaEDEYERqAhRMQ6zX6Wyr+xzAIYNbjFfZoPIUiiOnqsxi1oy9ElCvWv/WyLqABwEQWct5o/7VSqJAGShRRHEhBDnWy6TCR+YE0Kg8nGiZBaQNcvWGAyAjVBS9NsY26spgEmU0OeGcG2POQZCf+PlMAm7OjAAsN82fu+iikBwxJwBI3Kgl6pgMiY0xhtfHueO+++CgUUxBrEBrW0xnaV2B6ACpMZcuFF6vFsZ1IDUGQLhXcTgL8OD2bGcGAHF3Qw7iF5G227KNRHd38lGpBkkAiS/mQgF6bs85pESuQDQHQE9W/Lk3nBMAlPfaGNuoIwPX/oDXqrF2qSpjzPXiuOYOurqPwY2pKt+W8G8zVof4uwWAu3DwgddBe6uKI3sJx7swVcUfJaAxl8pi3Jl48s9Vmlag1bxg7qS+lbt8r8SxIaKLgO3NvdTLNlxVNmFso64MnrRBZVf3wbL1L+82c8jg7mCbDSrnsO0GlSdCV/PPGN66o+ukbvitlT7uJH0++4LnVgXNGraNujJ4NgEX6j6924y1BOQYveVzmPIhxsUYcw2sugssHlGLmB7l2ZCAHPxqjDl5jHWciIP/xldjTD7tHeJg9nXNPZ3uqRnVXKmtL50xbBt1ZvA0Asac84s5D6QGt8E5928z1q7ae/fBU9uEGWMqisEYtDN29e7c6/JsRsAzCypjjLmS1eKJHAiu5kqD6duf0xmrnHkOtWhd9dfA6nbnDNtG3Rk86au4NuKyNMzHfRc1mBjJ4Jaj1BFkIqi1o80rbFB5LGgkBKB8P69yIP7fP/IrUBGfhgjiaCam5v1JX3rUIaeyIPlgBd5p2DY6k4Ef69ei8ptGrsC5fp2uxLeTnzgkjjMHANafzi01VOo7uDTGbOkB+6ZZMAKY4lw9MIq8gxPnfKuGffKH6c/TfTaeNdNwvOZeeNENKjf675HPXGCKHvp+c4g336Cyl8Etx75B5SvgvQk4J4PzwboNKjvsG1Rug7cm4KwMzgdrN6hssG9QuQ3emYDzMjgfrNugssPeP2+DNybgUAa3GOs2qNyxMd53f8DyW1cpAOhiVW+4CxVfAu9KwIkMbin2DSpfA+/aBU9kcEvxQRtUvjTe1QPaHmfV8Ewg5vIQHmR8qd1e+XUE1NcRAJKvBFDe22SEXyGgv74dG5PsuIN39YAPrxf8ezaofG+8KwEfxsoNKndsjHftgh/GPst9DXyUB0wI2m08nrtBZSJhxXl23MDnELDtbtvvsZ/pACkABE/YeO7fhz8bqX/eDUL8wg6BO6b4VALueBF87CRkx2tgJ+COX8X/Aexn4WaXTfaiAAAAAElFTkSuQmCC"
\tan ^ { - 1 } [ \beta H ] - \frac { 1 } { 2 } \ln \left [ \frac { \beta H + 1 } { \beta H - 1 } \right ] = c _ { 2 } - 2 ( f ( u ) + g ( v ) )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAkElEQVR4nGP8z4AfMBGQH5kKVoedZXiPqoAFhfe+PN3l3ipUFf/RwO67qHxUExjer36vxIDHhHcuZ84ovUMRQlXgMhOCcVmx+uxuBgaGe7i9uSeUgQHdm4zICUZZUJCBYc9uF5yOZNj9//9uBlRHYgT1njRBFD6KI43fM7xfvRtPOJxxKQ89gxayjKOpmkoKAL1+raOU/u/kAAAAAElFTkSuQmCC"
\tilde { \theta }
"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"
\vec { P } ( \alpha ) = \vec { P } + \left ( ( \cosh \alpha - 1 ) \vec { n } \cdot \vec { P } - 2 \kappa c \sinh \left ( \frac { E } { 2 \kappa c ^ { 2 } } \right ) \sinh \alpha \right ) \vec { n } .
"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"
v = \sqrt { \frac { \mu _ { E } } { a } } .
"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"
{ \frac { g _ { \tiny \mathrm { U V } } ^ { ( a ) } } { g _ { \tiny \mathrm { I R } } ^ { ( a ) } } } = { \frac { \sin { \frac { \pi a } { k + l + 2 } } } { \sin { \frac { \pi } { k + l + 2 } } } } { \frac { \sin { \frac { \pi } { k + 2 } } } { \sin { \frac { \pi a } { k + 2 } } } } = { \frac { g _ { ( 1 , a ) } ^ { [ l , k ] } } { g _ { ( a , 1 ) } ^ { [ l , k ] } } } ,
"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"
m _ { i } ^ { t } = \frac { \sum _ { t _ { i } = 0 } ^ { t } p \left ( \boldsymbol { O } _ { i } \mid t _ { i } \right ) p _ { 0 } \left ( t _ { i } \right ) e ^ { K _ { i } ^ { \rarr } \left ( t _ { i } \right ) } \left [ 1 - \mathbb { I } _ { 1 \leq t _ { i } \leq T } e ^ { \mathcal { R } _ { i } ^ { \rarr } \left ( t _ { i } - 1 \right ) } \right ] e ^ { K _ { i } ^ { \larr } \left ( t _ { i } \right ) } } { \sum _ { t _ { i } = 0 } ^ { T + 1 } p \left ( \boldsymbol { O } _ { i } \mid t _ { i } \right ) p _ { 0 } \left ( t _ { i } \right ) e ^ { K _ { i } ^ { \rarr } \left ( t _ { i } \right ) } \left [ 1 - \mathbb { I } _ { 1 \leq t _ { i } \leq T } e ^ { \mathcal { R } _ { i } ^ { \rarr } \left ( t _ { i } - 1 \right ) } \right ] e ^ { K _ { i } ^ { \larr } \left ( t _ { i } \right ) } }
"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"
\delta A _ { \mu } = \epsilon _ { \mu } ~ .
"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"
\phi ^ { ( 0 ) \prime } J ^ { ( 2 ) } + \frac { 1 } { 2 } \phi ^ { ( 0 ) \prime \prime } \left ( J ^ { ( 1 ) } \right ) ^ { 2 } + \phi ^ { ( 1 ) \prime } J ^ { ( 1 ) } + \phi ^ { ( 2 ) } = 0 , ~
"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"
\sim 1 . 7 2 \times 1 0 ^ { - 2 0 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA/0lEQVR4nN2TUXHGIBCEN50aOAtYoBKohFRCLGAhFogEfgkXCVQClUAkbB+AlM4k7Wun+8LM8eXudplMxM96+uX+TwHHy3ZDsCrA8lIdMIBeAm3EfggelxOmmuSrPTZkc7tDRs6A/2qcSjvbDosjHaRfFwsEksmgAgWRDLVIkrM1MGQSNMCbaqQ51cAiSMUptQJmJUk/Ol0QvfYcgpQ6CMsJRDh/BmWX/hVyBzLMmaT2so5OB2B2vWghpXcQdCAjdmB0OreN0TxWSW+8Ro+1AkWGhD2g1Mw0U2FJzXzeDuzj22xu/zAPhcX7m8gKuO9vZyJnSCLpIYHk9K9+nFt9AntCfsNRLLaFAAAAAElFTkSuQmCC"
\Delta x
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAAyUlEQVR4nO2U0RGCMBBEF8cGzhJiCaGEsxUsISnBFqQFSiAlkBJICaaE+CHMmEgQBv9k/+4u+7Jzk0kRsE2Hjf4d8JcAW54umwDXu0w6x/SItxAiC+g+OmmCujTNuV6RKUnQ6J4AXQ00N/ZvSwFaEUDeMADA2bUJjHs5xbd7cwALCcDRALB+HPBCgAMA36ih1GYczHw74V0SfQgVPUJezHEdA6AEC+7ydsVErLKAFl1oZ+xTinZgIWfWNa3oJbq1bgDF/q3vgF8Anio90VWjh49aAAAAAElFTkSuQmCC"
\rho = 1
"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"
\begin{array} { r l } { h ( \Omega , r , \alpha ) } & { = h ^ { ( 0 ) } + h ^ { ( 1 ) } \Omega + h ^ { ( 2 ) } \Omega ^ { 2 } + O ( \Omega ^ { 3 } ) } \\ & { = h _ { s } ( \Omega , \alpha ) + h ^ { ( 2 ) } ( \Omega , r ) \Omega ^ { 2 } + O ( \Omega ^ { 2 } \alpha + \Omega ^ { 4 } ) + . . . } \\ & { = h _ { s } ( \Omega , \alpha ) + \left [ \frac { 4 a ^ { 2 } \hat { \beta } } { ( 1 6 - B o ) \Gamma } \left ( \frac { 4 a ^ { \sqrt { B o } } } { \sqrt { B o } ~ r ^ { \sqrt { B o } } } - \frac { a ^ { 4 } } { r ^ { 4 } } \right ) \right . } \\ & { \left . + \frac { \rho { a } ^ { 4 } } { 2 ( 4 - B o ) \Gamma } \left ( \frac { a } { r ^ { 2 } } - \frac { 2 a ^ { \sqrt { B o } } } { \sqrt { B o } ~ r ^ { \sqrt { B o } } } \right ) \right ] { \Omega ^ { 2 } } + O ( \Omega ^ { 2 } \alpha + \Omega ^ { 4 } ) + . . . , } \end{array}
"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"
\Sigma _ { t } ( \delta ) \approx - 4 i t _ { \mathrm { ~ e ~ f ~ f ~ } }
"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"
\bar { I } ^ { r } = \bar { \beta } n _ { t h } / \Gamma _ { m , \mathrm { e f f } } ^ { r }
"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"
V _ { Q M } = \frac { 3 c ^ { 2 } } { 4 } \frac { ( - 8 + 5 c ^ { 2 } z ^ { 2 } ) } { ( 4 + c ^ { 2 } z ^ { 2 } ) ^ { 2 } } .
"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"
\sum _ { \alpha , \alpha ^ { \prime } } O _ { \alpha \beta } \Sigma _ { \mathbf { k } _ { 0 } , \mathbf { k } _ { 0 } } ^ { \alpha , \alpha ^ { \prime } } O _ { \alpha ^ { \prime } \beta ^ { \prime } } = \left ( \Sigma _ { - \mathbf { k } _ { 0 } , - \mathbf { k } _ { 0 } } ^ { \beta , \beta ^ { \prime } } \right ) ^ { * } ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAk0lEQVR4nO2SUQ3DMAxEL2PgQQiFUAiFUGghmMIohEILoYNQCimEFcLtY4rmStb6t6/6J6e793G2EojfczvJL8AFnuM9hDDu1qMZhWh9ZCTj4ZCXF0kWVBdYkLsYvq7pMEO73NySc8xdJhfYY9/FAqYD5PM2if4WA5QkW8LkA02Q66RilzzeYc0AUBabM1yf9l/AG6jyxiIl64YdAAAAAElFTkSuQmCC"
o
"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"
v _ { t e } = { ( k _ { B } T _ { 0 } / m _ { e } ) } ^ { 1 / 2 }
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA/UlEQVR4nO2U0W2EMBBExygNbErgSqAFU4IpwSnBKQFKcAt3JSwlmBK4EkgJkw8QEN0hObqfSGG+ZuWdp939sCFeU/Fi/gT8M8C9vq3eGGPM+ycA4C0v/tV1CFvpBYCdPXOUquCga7mzzJugVOlvz58KABiay0cPAEP/vEvkkF0AQF26vm7uGOrjxh/q6kszLJ4kW5LXCiLx+Ay6WzzpqOVSz0ccdSKTTmvL7uJ4BJBkgtsAEYCfSLZt1gRzUjaARPWQqK1MD8FDgNgNoCRHD5TpMM/rDFAlYyQ5wm+AHAUEkgTIIIn0SL8BWAugsjNAndjSLRuZ81c+AX8C8A1KesYDbzL7rQAAAABJRU5ErkJggg=="
\approx - 1 . 5
"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"
a + b = - 3 + ( - 4 ) = - 7
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAg0lEQVR4nO2Syw2DQBBDHxEtOEWkCbaJpYm0kyqWIqCJpAeyRTgHPhKCkAuHHPBlxrLlkaUpzD4uP/TTcIThXQP4OyrZ3klohmHbKcZ+IyHJdgkE7lwBujoA0KUw55TQ5OdIFAfhJhaGOJGcx7t5UVOviWi1AHaP1G7VfMh2cf7k3xg+QG1nOAcAGqEAAAAASUVORK5CYII="
c = 1
"iVBORw0KGgoAAAANSUhEUgAAAGAAAABACAAAAADAXy3SAAACxElEQVR4nO1X7ZGjMAx9udkGfCX4SvCW4JTAlgAlsCWQEkIJoQQoAZdASoAStD9IYskfZI65nbmZjf7sygg9pCfJyoHwvfLrm/2/AF4AL4AfDVBV6fP2fZEHbzv945x+UOLYK35wkNP0I8AHAKhLeNJ2fRb75IR5APAJdFeg0PcDNwAIR7o7TgpZOdqaqxRKDWimzlaoRERk6ugtJhNGpsUAFii5PisbfkKEKKXkL8QAAM4SsZQGs9oMgGhC75WoTAcAVpyYIN+npcamaPvplRSA1vJIAixtscEwAKBwQx7AhQHAGaF2S/A8AYDWKxsUFGs12FEYWMzbFEibEKAHMN3IjAuAiGYYYd+v1uOlZ7i1r5MwRYyCNpmKDjxjVTv8qQB3PLnh3efFwOVS5LtgTFdjjYYpBZFFM+qeqGa+Jt+cwajAAbAGANyAPhXCcWDHv0eNj07jYtBWwKS9m7vfYJoOANbwhqiaVnHs/85oYMH1bIAFsL68lR+aYQLuwc06nBCrgBVR3RARsBo2DWPZPvwGEfguUFqWvxffZq5hkWbaO07Rw+8Nacn3bY98Kh8i4mddcO+QORidYVItVCKRPkWyD/ggGtc/p2Lz+zA8CUCmiA+iW6ra8Yl/5LhaJYogMD/ZYLTeSpkpqQjY1Z6j4MaA6kmKRS/VFAWMKRFBfBdUKvw+hat85UkAAiC6C6ouqm4jADIUOO8njICbXz9aFdWQFcMiQwEDeGOmLYDlTuHi3ADEt6PRnGQHlY7Af5inJSFqivmrOcsGZWxBpPyllLy1NmUCuyfGJmVyYYvP3wNQ+WTvIiqVH6w7AHpctg3EZrYDQK6GCak1uxn2AExRewuZFY9wDwA1ZutpXXBtFwAVG+vvqMVitg9gNlmeZy0XwX0ANNsMwhQsmnsBaC7S53XgP1q8/rn8tz/EXwAvgBfAjwL4Au3ZVianY9x7AAAAAElFTkSuQmCC"
E \left ( r \right )
"iVBORw0KGgoAAAANSUhEUgAAAMAAAAAgCAAAAABh8yhZAAACh0lEQVR4nNVY4ZmjIBB9ue8a4ErgSqAFUoIteCVoCV4JWoIpQUuQEqQEKWH2ByRRMBFWd+98v1h2RuYNvGHChXBu/PjXAezF6Qn8DGbMH1OJlE/0Wud8Zxi6AQBUAIBGA4CUca7kIweKYPIlagYAXbzDOqZWPL/TZYBspzjPVQIp8UydPIAAUQsJ5PeoeLRfSGCqxrSlu4MIDAxwSyecgVDErNh7oD8FBZEDVgoa8SGEBEyvD4sqAUogB252jPgq4hForr9/XdWRgcVCC/AM+gbsIiAzg4T9OxCaAZnbAp1Sxn1RFMupoBjLQEaHiLhDR0TcypjnW+ZPBBpQiLxAjoU9NZmVsWbxjgEBrwIEue32hroOwxjgZNxv5bAsy8fYJ2BSStiBUAKAk/GmhkX/9zH2CSgkVIAD0dtVc+DmduMNstkO+c2cT0AZz4B9Cb/7vkuub1qlLOET0OAL+mXvGcgvEcHj1OQlmr5I8FwhsPg7SMZGdsyshpsGNpRGFwwA+j4Tq5YLArdAhb1h/KUyvSKT1EtbtDOfgc3874157W6PEWDjqiUJzJwwLOseL7pWLsIqnmF7BAagTYx/FIC4N+/FPCUSyNwkI7IV+FGWF5b1M+jOT2qHiojYYvI1gdanv4XaKYYV4fItYwMR0chRO0bPK3Zmab9x/xeHWKzAORFRW8URKGyuPo+xiv0tEmk5rDQvcwLePaCQvRfpFlhTH2tptsqGIzJNRETT7r5MRvtHWo4bO+BGHVATUWFV919BsomIqJ1rMyRQA2ygClnkW8A3YmA5EU2LzM4IXNzTYtMoMCnzyAP8nVAlBEw1axCuyojchXo5w9uoUa8v4lMQeIfTv42ensAHY7HhaxOIQSoAAAAASUVORK5CYII="
j = 1 , \dots , { N _ { \mathrm { ~ c ~ l ~ } } }
"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"
E _ { i }
"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"
\begin{array} { l } { \left \| \theta _ { h } ^ { n } \right \| ^ { 2 } + \frac { 1 } { 2 } \left \| \theta _ { h } ^ { n } - \theta _ { h } ^ { \ast n - 1 } \right \| ^ { 2 } - \left \| \theta _ { h } ^ { n - 1 } \right \| ^ { 2 } + \Delta t S _ { h } ( \theta _ { h } ^ { n } , \theta _ { h } ^ { n } ) } \\ { \leq \Delta t C \left ( \frac { \Delta t ^ { 1 / 2 } \left \| \mathbf { u } \right \| _ { L ^ { \infin } ( L ^ { \theta } ( D ) ) } } { h } \right ) ^ { 2 } \left ( \frac { h ^ { m } } { \Delta t ^ { 1 / 2 } } \right ) ^ { 2 } + 5 \Delta t \left ( S _ { h } ( \rho ^ { n } , \rho ^ { n } ) \right ) } \\ { + 5 \Delta t \left ( S _ { h } ( c ^ { n } , c ^ { n } ) \right ) + \frac { \Delta t } { 2 } \left \| \theta _ { h } ^ { n } \right \| ^ { 2 } . } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA8ElEQVR4nL1TwRGCMBBcGBvAEtJCLCEtYAmxhGvBFmIJUoKUACWEErCE8yFcEhJx/Liv5W4nu7M3VIx91F/2vwlO1Xmll2O/sEPYjyPUQvsbpvyFHjA5BQva8GHQrDQSNDAyRbvSYDE+oQsOkSCJoGUuDjaOoGQcBCqOYGUsFtMURwgOIvjQQvDNIlwpzaBEML9bMI9E4MNjBBDz3KQhewDPN+sAA3RtmsECIGZmZ7yG41kNaQ8K2sIQaTvzoDRplxblAWJ/J+eZmflOw6ZJBzy4iDq71BbZIYovRIfYoi60XxDsRFgs0H7Yo/rvv1nEC2j3VZ3b8bKoAAAAAElFTkSuQmCC"
\mu
"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"
\phi = \phi _ { q } = - \frac { G M } { R _ { u } } = - \frac { 4 \pi G \rho R _ { u } ^ { 2 } } { 3 c ^ { 2 } } = - \frac { G \rho V _ { u } } { R _ { u } c ^ { 2 } } ,
"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"
\frac { \partial } { \partial x } = ( U _ { G } ^ { ( \pm ) } ) ^ { \dag } \left ( \frac { 1 } { w } ( a _ { x } - a _ { x } ^ { \dag } ) \mp i \frac { w k } { 2 R } ( a _ { x } + a _ { x } ^ { \dag } ) \right ) U _ { G } ^ { ( \pm ) } ,
"iVBORw0KGgoAAAANSUhEUgAAAQAAAABACAAAAADQNvZiAAAD2ElEQVR4nO1a4ZnqKhA9932vAVrglcArAUvAEtwSsAS3BC3BlCAlLCVsSgglzP2REGVCdmM2yv2uOX8WZ8nJ5DDMDNFfhNfGP6UdKI1VgNIOlMYqQGkHSmMVoLQDpbEKUNqB0lgFKO1AaawClHagNF5egH+5oa4BPTQp8SyPng1isADOiaURgOTT/hpkt4BLPm0DsHvGWhRBRgCF6vbj3gEwT3KHo3aufuwdBgJ4KAR//ezeYaDkY70YxWmzebYANaS+CYGwha15VnweNPBg7bkAoYa+3QPboA4e6rFOfIknC+ABZVDHPbB3OLpBXfybwPsABw0lQtWuuXvHQe0h5zYBPigB54PWAOB9rZeTciluVhYNLNEOioiIGgFDZGDmlVgLwFoBAKpp4uAuisuwUVmMuwXnlzgTnYFPIiIN2RBJHIbXZe/FjFYBQuys1YAWgLEaOa4vMC7Az7lbMP4G+CRqWi4LfBB9ApfMdRCaAdBs0kdcFQnANkSk74ymUQEW4G7BcoCDkIAwVWXbBAD4kRwYXM7K2NQHAEDW8qwAQLkAnLrSLnfAvpt69wYe4b6bnAng24fVlQ/YYmfRdkZDiCmVsb5eKuOo/fsO2DipgmCdtg+Zs1fw8rYijnN/Q86RBoSGJSJqgKPuQkxjNyOyqI3OQ0Lb5VgiUjfbBfGfPWze1WQnjnN/Q87A+gDXRoAw2DtxFK1pbisS+lVy6FY0NpU/Plx/wX0feboFfAwjUwUcVWJKsclYvTpwNt251s0OflJPpftZfo9LNwz+diFmc3NwAbrNZ0SwJr1TCodJOTAOOg43ralOklY/Tk6ks7k5BgLEu4UDN92N/tI+XOct0kO5UwH6/YRdjDefTwGXXJ5mJ1d39a0fLHW0mcFdnzyk5m82kiRYXw++8fnqEV6dyTSsNF6zR59HHcSpwgKYwb3/D8eLftuE1JxEgBtmUJfPgVPQX9oPPLCNSc1vZtJO4M6Rv50OFjDy/7dzYucC8Ket5pesflP2eTQAZtcZZV/sv8+m93JnyN2ptSlT+fQZp7c1P0fzEUd6Yq8yfhYY586Sm9jOWXa3wfcCj8Sk/vkx3NVYpD1VgPvhALdE5fRA3QlgU74/XAC9QNcMAApgbWrEny7AUo2THHu7/ipfjpqbepD841UEsMp3CrynjV0ZAYJHHTsyD/gvJy9CLo5y6wCEN8l21cQyuySiB5qo/636N68tFiBvrFDWSP7i9Ncr/Vzeh+GJ8aUEyOFVkuAoVgFKO1AaqwClHSiNVYDSDpTGKkBpB0pjFaC0A6WxClDagdJYBSjtQGn8BqpV8HGqBIYBAAAAAElFTkSuQmCC"
M = m _ { \mathrm { H } } + m _ { \mathrm { H e } }
"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"
N _ { \mathrm { e v e n t s } } \pm 3 \cdot \sqrt { N _ { \mathrm { e v e n t s } } }
"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"
N _ { \mathrm { K S } }
"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"
\mathbf { w }
"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"
| t _ { - } ( \omega _ { + } ) | ^ { 2 } = 0 . 9 9 6
"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"
W _ { s }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAtklEQVR4nOWSURHDIBBEN3WABSxgAQuthFigEhoJtZBKAAkgASQQCduP0GnCXNr/dn+OG97csXcMxGedvtz/GrC0GHqCq7xb4wzPnV7A2GLVHdBaJAMgLYA6a/ENjxHAtQCADCgAKObYRQIQNIDJdsCwrvuibQplNCF52aZXMHEGbCVZnbu73maNJHMkSZrIrHtgo1lvM2EXi5JGvVFVmfS5ZYPwadNkUW7HFUjm91GqIE3y74EnIuDmXn6OvfUAAAAASUVORK5CYII="
\omega _ { \mathrm { c } }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABJElEQVR4nJWTUXHDMBBEXzolcIWgQjAFUTAFFYIKwYGgQDAFUUghmIIKYfthx5KSODPdD89YftbdrVYn8Vpv/evl4/P3jlAnB1O/0gOJ5NwrwFtJpGPgSlQxfwwEshS5HgHFCNJCOAImBhYpsBwAzmWilInPgZkkb0Xr4wngrax/d5NWYG1usCK1ZlVg7S0xSZH8CNwMck6dWTswMUvaGmgm3YG9rrnOrBuQ92OOJGmk3AHjPnuxoTWL24ytclPxfYsasX4/nz3x6xKayPUhCGTJhrZEH6MFX81aAWdqFVhUGCuQugPebNjMQpJcFxFJHum6moWkadutKpElzyLpDX7O2N1tcgAT3wCzBxjGJsrBG4P33nCjdoPm2mKzn+n0z9v9qD/5kKQIz6rVwgAAAABJRU5ErkJggg=="
\mathbb A
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAt0lEQVR4nO2TSxECMRAFGxwMEmIBC0FCkLBIiAYkLBLWAkgYJCwSYuFx4FObAMudYk5Tb7qqk0llIeZr+WX+e8DlsNucb912tX3GuteYooG5JLdJ/mwklQ6iVELMMb0DpACuLk2jGughH618BmRYGDQDdJDqpNlDBGsWUfMOVEdoFesA/YxibwOcPitGc4XGUQExSxmy5H0LDNFLWksawXxMpQWM+0spAviLIj/mcsMmF1n8/wUAV9ayXptOr93dAAAAAElFTkSuQmCC"
x
"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"
\Delta \hat { \sigma } _ { t } ^ { + + L L } < 0 \quad \Rarr \quad \left \{ \begin{array} { l l } { \Delta \hat { \sigma } _ { t } ^ { + + R R } > 0 } & { \mathrm { f o r ~ H ~ } , } \\ { \Delta \hat { \sigma } _ { t } ^ { + + R R } < 0 } & { \mathrm { f o r ~ A ~ } . } \end{array} \right .
"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"
\pi ( m _ { 1 } , . . . , m _ { n } ) = \Pi _ { k = 1 } ^ { n } \pi _ { k } ( m _ { k } )
"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"
F _ { \Phi + X } = 3 + 6 / \gamma ( 1 + \varepsilon ) ^ { 2 }
"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"
\forall x , P ( x ) = P ^ { + } ( x ) = P ^ { - } ( x )
"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"
a \tilde { G } _ { t t } - b \tilde { G } _ { t } - | \mathbf { k } | ^ { 2 } \tilde { G } = 0 , \quad ( a \tilde { G } _ { t } - b \tilde { G } ) ( \mathbf { k } , 0 ) = 1 .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAoElEQVR4nGP8z4AfMBGQHykKWDBEzp4V3NMhiOD/RwPvXP7/Ly9H8DGs2GPMwOByFo8bzjIwMDDsIeRIJawK3neeZWDY8xK3gs6zYQyzOjX2MDDcc0EyDcn97wRXzfz/P61jd9o7hCiKN13K///////MGWQxlIAyRiJhAFnBvffvsfgIbtaZd+W7Bf+jGI/qBheXd/+VlDAUMI6maiopAADUQadUC+a51wAAAABJRU5ErkJggg=="
x ^ { 0 }
"iVBORw0KGgoAAAANSUhEUgAAAKAAAABACAAAAAC44CNzAAADFklEQVR4nO2Z25WbMBRFt2elAbVASqAFWqAFUoKmBLsEUgItKCXYJeASoATlQ2C9eMjBwzhrsb884ozvsZCOLvZJ8958fLeBNQ6DWzkMbuUwuJXD4FZGg/eTw22v6p9O0c/H6B87COgHqgKQ6qr3o1NSAHnTesOqFoBoWq1xh4F8R3cGCchotAGuWmvtrsEeyPe6uw+mK95B5uBvkhsgdrDkI4bKHv2F7Az4Bnug2MeVQzFU9rj01MNL574XDPd9grxOWE5Jogjhu9Ba6xbK4aV7iVjpXMvWqyeJIgqgDYfEOOI46ljYxABCdmsGE0QRFaC8kQbOj/e0wwoo5t6lzkz1dk6QLIqQgDfxXeZMlGOwZiqQHiizf6rF6kmigCasK90ZxRtncQmp0lRXm0X+f2C3hNZat4LK/uUYLKO1ENFWJhkWZUkil2BplQhnGTsGc2B1gbeVAFgOlCSRRYCwfylnh/gGl1LGoZMCIKuXPkySaKTwCmf+TrVX2qVN7Fc/Z+uBkiQyeDkjg8PCGlTgLs5lXpo60jHYiiBJrMHzcsqENCmBkiTycqbydohnUAJNusFH5pXLqZMgUtagijxYg0utwgxjoGwUdfZyHumswSxtE4fVJ3qRp0VAprXW+hy1DU5HfYcsbMsSiFq5fxAVcAfoL8jIw+j0SmrKWMaTd6uoxMxcRRaF0sOgs1ITed0+HnLmOnXU4orO0eV5XpmEtaldeD3DlMHk4/3FZ4m5e7Vto6cMTjTes5XHg3azaNQCZReeIYHBhLgwfEU/AxRy+nkDV5NkzwTDaztCs5Mm5aPBsK2dZoyMlNPtiZ5al/NBNBqMHgwmeGF/ECAhbBJCg+utwhc+1405s2SwYrFVeHWPGqDmN8BosPCeCyZ0KZGRnCshnZRzszMaFCt7BIqUrz4SRE8yGGxZeSZOioz0XEnnZH7t/P0L0e7/3WACQz94g+ot/WFmsP/Zv+kEDjN46ZHv6c80CM0TT8R784PPW3+jqtc/yvfwQX6/l+pt/Q2b5I35b35MfFsOg1s5DG7lMLiVw+BW/gLTFIwq4RF/IwAAAABJRU5ErkJggg=="
J > > V
"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"
\begin{array} { r l } { | u _ { 1 } ( d ) - \exp ( - \frac \pi \beta ) ( c \eta ) ^ { \gamma _ { 2 } } | } & { = O ( c ) } \\ { | u _ { 2 } ( d ) - 2 \beta ( 1 - \exp ( - \frac \pi \beta ) ) ( c \eta ) ^ { \gamma _ { 1 } } | } & { \le O ( c ) } \\ { w ( k _ { n } , d ) , u _ { 3 } ( d ) } & { \le 6 } \\ { j ( k _ { n } , d ) } & { \le \frac { 1 0 \pi } { \beta \eta } \frac 1 \eta } \\ { j ( k _ { 0 } , d ) } & { \le \frac 2 \beta . } \end{array}
"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"
\beta = \frac { u } { c }
"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"
U _ { \mathrm { E } } ^ { \mathrm { s i n g l e } }
"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"
| 3 x - 2 | = 2 - 3 x
"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"
\{ v _ { i } , v _ { j } \} \not \in V
"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"
N ( r ) \leq { \frac { N ( b ) } { 2 } } .
"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"
0 . 0 3
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAwUlEQVR4nOWTUQ2DQBBEXwkGsHAWsLAWsEAlXCXUAkgoEjgJRUKR0JMw/QBC2tzR76bzc8nOzszuJncSxyi+8L/VMF/6dEO5PP3MOfpkhySpayUzpVACzOc74NIZkuQrSW7MO4R6GmJjqyTsalscnvh75/ymebdH0o1RMpdMUAFMGFDl7xAMYmi30mVnr1BCnDwMNFt1+lxzZNSzatMjqIRAmPv2mh4BJLNH+kbL0hI+Ty9r1jn3NeLQQKf/+hdZvADX3v0DtQcxQwAAAABJRU5ErkJggg=="
\beta =
"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"
Q _ { 1 } A = { \left ( \begin{array} { l l l } { 1 4 } & { 2 1 } & { - 1 4 } \\ { 0 } & { - 4 9 } & { - 1 4 } \\ { 0 } & { 1 6 8 } & { - 7 7 } \end{array} \right ) } ,
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAA50lEQVR4nO2US3XDMBBFb3pCQIWgQjAFBYIomIIDIRRiCDEEDYSKgiBEEKYLn9rjJtEmux6/1Xz0rjSz0EF5Tx9v+nfADngAlOnzNEfydZbacJ3kKcDTFwBqKTG41/5x9W9HyGEGiHNd4/7iTbLdQSAD0uXQ8DPargVUh6tA8dJ6wNjb7GhiCXQ5MPU1X5fiee1f5gGwE2wAOeIq2SFmBZeHB2wrx23XZ0qktYLJC5gTBlAdeJkCSFyrf0foCmRL1EW3pJpIqne+talEWuIVMLiY9B5Vh8iQnvl+dY3EJTnsn+oO+B+AH8pBprHOKn0RAAAAAElFTkSuQmCC"
M = 4
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAANklEQVR4nGP8z4AfMBGQH1UweBUIMTKuxqvgPQMDfgUMDAxKaPz/KGBVaAeqwH/G0RQ1jBQAAJ80IyD/nT2VAAAAAElFTkSuQmCC"
\cdot
"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"
2 7 0
"iVBORw0KGgoAAAANSUhEUgAAAYAAAABACAAAAAA2M/9jAAAHgklEQVR4nO2c25WkOBKG/9ozDmhM0JrAmKAygTKBNAFMABPAhMQEMCExITEBTIh9AF2RQJlVNeyc4XvpaloobigUCqj+IFycyX/OVuDfzhWAk7kCcDJXAE7mCsDJXAE4mSsAJ3MF4GSuAJzMFYCTuQJwMlcATuYKwMn8cbYC7zIPEGfr8BM4K6B/fYbPD4vvKuTTwCOi+G9x+3P4rrBIIkx82wv2CvhryMvYO288BwB0mP8ETwGwGU0CYLh1LF4DG68GWxG39i7QfD4ZMFcZf1eaRNoSYCtfU7HsaAiAHaeQQQdkFEmNu/oZyNef8oyIpiSZYqdxCGpgi8jwICJKcqIpSd+UpTFtCeCYqHiq68EhCyGnWCmIYwlnBP2tTOXPM6CCywCwbr5FTuMS0sAW0Td5AgBpCxSIXrMhTFsCuCYqWmRHQ9ZLAafYAZiensXjVegr1Yt2AORtSzJg97aIm8clpIEtQuSLcDGiGrrvJiDLlgAbEyVtwo+GrIScErtMbQQz1lMJuKsrX3LEj+ERQUSEmr+b7DSWLa/JpyfKoyEar1OsAEzdoSYLnc58RJSBuwMmJiKncu4LaOARQUQEXr8lxsS2JUBAPpV4Hg3ReJ1iBiBniIxAwsy/CWwnzmOnsu8KaeATQUQ+m5/dc3txB9uWAAH5xJPDIQY+p+gydLiNM+K2gH6wkmbvuS2rmpfPSTsa+ESYO6CiagSb+ywHmoEB49wBS+ot8YlxzPOqZyPTWd+xJYBfPoaxPBpi4nOKCkDTd1XF4+r31jqEjr5dhyft7EzWb89YwpxnRwOvCKCHU73MX0OXAO3XWEPwvplRA+A38DQF8rEAvtIHUBXtnftsCRCQj1YrEBpi4nGK3oQnohyRJTV3Tw8SIyPnm9r6vtXIyr47GvhFmAlgIVv3xGwRXq/7opIjwJZ9sISsynlMGRKQT1wcDrHYOkWnIAYMkRkIozWuB+QqNjJCgsF5PNl2rVsP344GfhHD6MzYN6uMtKlSANlYfT6AItOJIlsE5M1Q1B5bAvjlWwoEhthsnWKVoYjcODt7u8ngPojLoDdOqCEN/CJK91lLlWLSLoGcOq2IUGtBFo3d8dYZlE+5UXgGhth4nGIcxAa8118cAslvfmMmrcEwHoroXX3NfXBp1N1ZVayPuk0CtO616mNDsScfbaozun+IZQXgcYrRjFP93SrxBmLoM+8OGQrA6ygNxmpg46wzRyAAzLk6o10bpGLtBrDur+ru05oDrm98DYRd+VYK9AxxrfBiBGBcn5+qwOTT5Wscfc+ScQS3eb0jKjUYPssaKKq53hPRerpAqXspEX0lPJr4HJqFknfAxMYowjxDXCsAeJxirQC+6sa8vuPjetmWFKi/5s3VozJUa3DjGYCybVKxI0I8I1ZekfDGl4P61RdRZUfARDMDeYa4VsDnFHMThjxWPwI9DdXJsEq33JyDGZfdauyoDFUa3NfrqigNiNigN2FaTelSmhKtid6Ea2ltTBnql3+3q253yMYK8jnFPAlDptTQU6Gui2bQY0Zz5zM3QXcjOSpDlQZycxXVsCtiQ9b28qBzqzmAsbqD1Z+3ZHNTC8G3tgTwy+9ZujdkYwUsp7Q9loWpQlHLSHXdQ//56Lp1PUzyug7u+ggZEVZvIqao8s5GaiDWYrST2vlFeMikYkvpOSXreUz2TIVsHnVg6xq5R/Ti/PJZtjtkY4XlFCGXv14B45qfmmoUHYCiHUVZJUnTdwkAfA2zWI97KW91gTJibpY7h7lR21jjdgkikBrIvUI+LQERHuq54hmAoboDc1ss60Fg/JSdB36rAQxfTL5GMG0J4JffzmJ3iGsFLKeM6rxGOibyELTGaUKSTkTE+CZ+tcplzvJVKW7TJYhAaqCOY0ueDonwUvMkz9N0IsqVect9OREJ5HdR3nNkumNaH8wYkp+x/SGOFUSmU55q/9MB0LGQjl7vFHCuE5E4eBHyVjdaamCo/vok9OjC/WiBnKhTWXW9+N5LHXbw+nxrheGUEvItkDLxod2rA7Bq7VwnoifbzZyP/X8O3KTlficAewhfwj+wJcDhi/yNFaZTuLpbtSKiO3EAAF5Wm5O8Zr7xN96UKw10df321y2vsG9LCKsG8uFaYTqlGTN5t9qEx9d2zWy88WDEivH5ylyuBkm/dAkiXnH8CLu2BJjbo+9HXCtMp1SJioVeAdtaeZcyDT42Y//Wh1lKg2Rt08w//vHh7O8Q7tgSYhBHz6tjhemUXhj9qTUVTUYtELEH/AJag8darWcRnyu8guAA+K8aYRBpxeLciUqjbJSd7TUAiex6/2YALA1SlET00J98/Awd0QtffnybOCtARDQxwVWjJ+cAr4lyBvCcag6s2/cvBsDSgKYc2T1nP+z/v5s4Kz4IwHhjecQO8CG640Hv4WowtnPi6yL/s4ix4iPyf0vpxa8G4N9L5G/IFJ/V9g3gxQ8QGQAGjiaJ/XT6Ip7YFFT1SPJ/fFL+PyQ2ABe/xPVbkidzBeBkrgCczBWAk7kCcDJXAE7mCsDJXAE4mSsAJ3MF4GSuAJzMFYCTuQJwMv8DNaJXYh7vjlkAAAAASUVORK5CYII="
j _ { \mathrm { i n j } } ( E ) = j _ { 0 } E ^ { \gamma } \exp ( - E / E _ { 0 } ) ,
"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"
Q _ { a }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAxElEQVR4nLWTQRGDMBBFH0wNYAELIAEL1VAJ1UIlUAlEAliIBJCQHiDtbtiGS/tPmcmb/3eT3SKQVxkPbfGWU0SIWsYr0AzjEqQQ5x7oQ6JSmHmg+1rDDtQnwMFAATNUOWC2EiTggea/Dt66TyKOCQKwSxCAXcJPHewmdISR8AHMv06BbIQ7c1hTBz8DcBEROuFWDWmEBlytIjzJvD33+ZSAmlgX+X0/7sAk9mWKN1uR3j2Ato59ruJZtwU01G0Oxdn6vwC9FoEdwrc1tQAAAABJRU5ErkJggg=="
L
"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"
{ \boldsymbol \sigma _ { f } } = \nabla \cdot \left [ - p \mathbf { I } + \boldsymbol { \tau } _ { f } \right ]
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABF0lEQVR4nI2TbZGDQBBEH1sxsBaIhDkJWOAkYGEjAQuJBCIBJCwSgoRFQt8PSCV8Jde/ppjHVk/vbCY+y33p4+B2zn4HGC8/2fmyJdRaSt6naHVSoNZKKH9IBSGPUoBiA0STZNBIKiBsgFBLaf7zWmz6wqLUTAfsiigpwFFfSJJhh4ADxp7iMKgT0IEtv/a3Lh99WQFMFtLi2CtBUuur2cPawsOXkqSWICGldTzVc2gjye1YuD8959xw0LMcohvxT6DHQYf5xQhv9YCDYZXCuIBP0AzVYUxw4kOK8L+d/CS/B+Rvte0Br9TGAyCnm6oB212l63w3CZs3ai3zcbq0eACk0tdtU+RRUrb/eIf7iJUAB8BLX5P8A4nYfs6y0TKxAAAAAElFTkSuQmCC"
r _ { 0 }
"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"
\mid q \mid = \sqrt { q \overline { q } } = \sqrt { q _ { \mu } ^ { 2 } } .
"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"
= - 6 \sqrt { \frac { 3 \alpha ^ { 2 } } { 2 } } = - 6 \sqrt { \frac { 6 a ^ { 2 } } { 4 } } = - 3 \sqrt { 6 } | a |