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Endlich gefunden, wie man hier etwas in LaTeX eintippt!!
Hi,
ich finde leider nichts dazu im Internet oder im Skript, auch ChatGPT hilft mir nicht weiter...
Gegeben ist eine Quadrik \( x_1^2+x_1x_2+x_2^2+2x_1-5 \)
Die folgenden Matritzen habe ich schon \( A'=S^TAS= \begin{pmatrix} \frac 3 2 & 0 \\ 0 & \frac 1 2 \end{pmatrix} \) und \(S = \begin{pmatrix} 5 & 0 & 0 \\ 0 & -5 & -\frac{\sqrt{5}}{2} \\ 0 & -\frac{\sqrt{5}} {2} & -1 \end{pmatrix} \), die diagonalisierende Matrix S = \( \begin{pmatrix} \frac {1} {\sqrt{2}} & -\frac {1} {\sqrt{2}} \\ \frac {1} {\sqrt{2}} & \frac {1} {\sqrt{2}} \end{pmatrix}\), und die erweiterte Matrix von q' = \( \begin{pmatrix} 5 & 0 & 0 \\ 0 & -5 & -\frac{\sqrt{5}} {2} \\ 0 & -\frac{\sqrt{5}} {2} & -1\end{pmatrix}\).
Nun soll ich den Verschiebungsvektor \(t= \begin{pmatrix} 0 \\ - \frac{1} {2 sqrt{5}} \end{pmatrix} \) und die erweiterte Matrix von q'' \( = \begin{pmatrix} 5 & 0 & 0 \\ 0 & -5 & 0 \\ 0& 0 & -\frac {3}{4} \end{pmatrix} \) finden.
Ich hab nicht die leiseste Ahnung was hier geschieht und ich finde absolut gar nichts dazu. Das einzige was mir aufgefallen ist, ist dass der zweite Eintrag aus vektor t multipliziert mit dem Bruch aus dem Vektor von q' 1/4 ergibt und das plus -1 = -3/4 ist. Aber was das bedeutet...
Mein Skript liefert gar nichts, ich finde kein Video, keine Anleitung, ich weiß echt nicht, was ich machen soll....
Vielen Dank für eure Hilfe.
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)
Lösung:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAvQAAAF1CAYAAACH2H72AAAgAElEQVR4Xux9B1hU19r1yn8TNZYYTYwx2BI0UVE0ghUr1tgVghVsiIgtohGFqIgRxca1oKKIBaOgWFAhgoolgIWioBiMgr0QoqNRjONNvvz7tGH6nGkwwD73yfNch3N2Wbutvff7rvedf8kD+lAEKAIUAYoARYAiQBGgCFAEKAKlEoF3KKEvle1GC00RoAhQBCgCFAGKAEWAIkARYBGghJ52BIoARYAiQBGgCFAEKAJaEMg/MQNdh57HhJQkzLWtSLFSQUCCOPev4PLrHJxLmIvWVShExY0AJfTFjTjNjyJAEaAIUAQoAhSBUoNAfow77EYnYdihs1jXq3apKXfxFzQfMW4tMJyQ+ktJc0H3PcXbApTQFy/eNDeKAEWAIkARoAhQBEoJAtKsFejUdhWaRl3FrsGGk3mp5CHyX/4D/KcaalvVgEWe8RcW4OHbD2BVw4jSSbOwolNbLMQypKfOgk0paeeyUExK6MtCK9I6UAQoAhQBigBFgCJgWgTyY+DWYgiOD4rFjbB+qGFg6vkxUzDqeHesmt8YD4M9MOLnDjh0dh0s5rD/2gEE7I7D0fBwpDlG402kk3EbjvzdGNzAHY8CLiFprq1xaRmIeXn8jBL68tjqtM4UAYoARYAiQBGgCGhBIB+7BzeA63kPnLq/Do4GH1pnY0UrO+z4NhnX/ewA6Ql41emNlHnXcGWuZZ1fx7i9gyFvTUDoCar5uwejget5jIm9gbB+hm6FaAfVBwFK6PVBi75LEaAIUAQoAhQBikCZR8CUhDQ/IxF5NduhQ0PiKSohp9c1XfF0Qy6Spn5hUTiaktADeQh1bAbPa8ZuiCwKIosuDCX0Ft08tHAUAYoARYAiQBGgCBQrAhJiamM9BPs6R+BuzBgYbjmvXGopsgLboWPsKItUgjEtoSeXERf8YNMhEPA9j+yl7anpjZk7MSX0ZgaYJk8RoAhQBCgCFAGKQGlBQIoLfjbgeGg2lrY32NZGqcKFyAjsD4+nsxEdMBDMYb2lPaYm9OQ6ApHD6mBkXEdsvp6IyZZ1IWFp8BtdHkrojYaQJkARoAhQBCgCFAGKQJlAgHXodMUR+w3ITZoK03DQfJyY7YHj3dYiYGBDvBvjhm8e+COxTJvccL1BOKX/c/op3F/nSE/pzThIKKE3I7g0aYoARYAiQBGgCFAESg8C6f6NYL/4AYbufYyDI0zhzMkFXOq/rUAOhIpwPfyCyGCa6vTfSHxvpyA6/QqOzJuKiEqTsNXfCW179IGtKapPbOlDOlljWtpQ7H18ECaB1MjqltXPKaEvqy1L60URoAhQBCgCFAGKgHgEeAWaTZiChMcb0ctC+Lb4Cljmm/dDHVHf8zQcLNAR2DIRM6xUlNAbhhv9iiJAEaAIUAQoAhSBMoSA9IQX6vTeBBDzkGfEPESf582bN7hw4YI+n6h9t2HDhmD+M/VTouXjlX2OWC9C2i1/EPFO+pgBAUrozQAqTZIiQBGgCFAEKAIUgdKEgBQxbtUxJKIypiQ8xkY9j+efPHmCkSNHGl3hsWPHYty4cTrSuYwdUzch5X86XvvcCYvn90Ed8lrxlk+5XPeJhGV9eJ5uiaBrV2Bh8vtGt5mlJEAJvaW0BC0HRYAiQBGgCFAEKAIlhEAiZtTsgfWvXXH4xS6Y07z9SV429p9IRTU1Jj2tWrUC819JPq9+v4Pth86YtHzZK1qhuU8mWgZZXkCtksTalHlTQm9KNGlaFAGKAEWAIkARoAiUPgSIZnp9olV5v/tm3EucjHpmq0EeFrdvg8jq/dH+s/+o5DJ48GAMGTLEbLnrTjgPqzu3RVjlfqYtX7Hhq7uGZfUNSuiZlpXexIGgE6gz0wsdq1tgU784h3WbpRju08uEAS4ssJ60SBQBigBFgCJAESgBBG4Et0ET7zTUI0GQ7pEgSOZ6mAi01pFOuHXMDZ+aKxMj0jVb+aQHMKKSM6IwHNFvIuFEHY6NaCX1n1JCL81CsOMQXJ57nkhImS4eHAoLcO/pX1oa7H18VL8WxMWWkOLBgUnoF+OEE7sGG07qC3OQuHMvIq88Bqo2Qq9vXdCvQ0NUyd6LRVm2WDzSBrJyP72FS7mVYOfcEZ8b2+0ELF4/xNVrf6KeyeSwjC2Y5X0vlTxE/st/AFPib6pqSh8g9cgeRKeQ/tNoCKa7d0VdDZOyrB6a8v5PNdS2qkE1iU3VNjQdikBJI1B4B+fPxOF4zBU8ll9f8k8g6GgN+Ljbl3QJteQvxYERleAcBQyPfoNIc7FNKTHrqeeNT09ehK9tRSR4N8Si3N5oQajHq9xbqOy1FWFO1iWHk1nLdwPBbZrAO60eCdh1jwTsKrlqltWcyzmh58Iw93yyRkvAAxLdLWQMfF79gBM+evhmE13XHfujkXBoN/ZeYPRnrdFzoTcmtwCuJpAJD/nI2HcW95qORNA6P4xqU1cHucknDjt2+LF5HJLm2upNhPJPzEDXoQnoFB6NlYObo/LrXCRt9cKkmA4Y+fFyBFaPwr9ks4DbMVi0LBRRu37GDSmxJfyX2BIa2/tvn8SK9WsQvpFJU8kphuQ3230dfh8bjDA3/etlbNEs7XvJhVAsWbcDu/deQAFMhL8pKilJxOwO/RDRNgoZ406hdY/1gPdZ/L66i9rUJVkHsXVHNA7t3guu+/fELI/R6EiitOSlpODWk1ycOXkVaOGKH0MC4NJE3NbWFFUp6TRux8yG+7rfMTY4DG5kUS/3T34S/Mesxefh+zHWfHYOFgrzbcTMdse638ciOMwNpbM7SHFztzv6B0jgvmktJhHN8cqvr+FE4DR4S/rh28yFSBiVidRZX1loGzDFugC/+h0QeN+8TpuMHXnnOyvxeGMvdg2PcWuFBMcf0L3q+7Cy74YOJRw+1tzli3OvRPT4pei++R4SJ5e7wW72/l+uCT0bwayfBJtU9GZvIyU6Hb/lnUBEWBSSb76A1PUwR3j1fbJXoFVzH2S2DMK1K3NBzsCLHnLieWBSazhHvEbHNSlInKWD0DIR7KzXotvFVMxSSEhHofJC4dhsPj756Vdy8qB4C5F/YASakmMJiUL9JNg9uCZcj5iWULJhpSMUJ0xBnxY1puPUs3XQTyhMZGPcj0VAfG0stOgTIvm6ZGNFq+bwyTQt/iLRUvsaF2zFBhHPYjDmUTiGDt+KL4IPY3Uv7bdaWh2hSP8/u2w4+i++CYfNJ3FkshEburQwBOT3wcL+lr5ICGoPIF1ef2k8Y9pQr2/NjKckKx6nfnuMvBORCIuKx80X5iVSetW9OF++T+bm+p44jRpEKfEZ9FRKFF3StLAA5PdZCNMPD3IotqIT2m5pg6PJRLddYTqQEMJqTeb8qpZ/IivIKprTHIRdv4/BLZ+Ym/DnFzFuw/B6RSgc3r5FtdpWqFGS+/tiKJ+wHlj03Cd6VFnei+WY0OcRGaVmWNklGbf8lU/eC1Fw7yn+AjGLebkdDgwhNwehZ/qDbCKxxqK0W1ApikKfkeKEVx0MfLIRjw+OIEuAuIcbRLYaTtv5KG5fKG5YOPJtWkKpjtCDMeM4eQEvrb+Bo7lOaRNnoOaOHnhmyIZMHMQmfsvSCD1PQn9fisxrvrDVo7a6lQ2kuOBngw6Bf5LIiVcNNntjNoYDX6zHlVKghyZ9kIqTF17C+htHmKvL69FEal81N54Mob/8T1M0qvsRLs+uqrLRN7b8ped7Yk6ZehIXXlrjG8cmIk0w9a0dM34H4sV6M8gF8odFTY6ql3mUkgOjSqMrmF01Rl9EVN4XDt7q+eL8vaUwxhqkMGcf5owPAOadwiaZGS+3uVnZLg1JU8k1Jf/EuNXF6kabsMWlMsInzsKLuYcROrjo70bXS00CJVq+GDe8MyQCGBSBZzFjRHMYc+BQFtMsv4Q+3R+N7A/DQ5cmqjDQzUXokYXA5i3hlw3Yr8nRfS3JeoqfhU9uEuTmBa19kyPSmh1R2FPy5JkKNxDFRuiLYVSxp8t5qw27YSmG8qlmYWmEni8P1Nwy6cBHN6FnNrWRGFZnJA5VJhvIXGLiJXanKstbgshhdbC8fXqpIPQl0qX0yrR48VS70dervPRlrQiw42s52qebntBzjqTWmp0cGQIX3tvyyZtANNXdpOvVvYgp7flHuLOtB5zOeOJ8diDak1N31hpgzL/Yzf9bXZLsOrygMY7fDEUfs4lzlHD5BKUbo3HWq1HKzcvlltCzRGNDf9278WIk9OLsyjit3GvLxNugXfCrT05Af0f3DVn4eeqXqvb35xagw4leOL+kyB66zBD6fOJZ35R41g8w0GSqRKaCckboIQR0kRoUGlyaFYh2Lf1AIpZQQm+C/lrceFJCb4JG05gE5yfGDQ/TE3rOJtoeGzQdMCV4o9dvE3Fimj42oubEQ33aMtNPQw/ulJPlby4qb0kDEbMhNyS2OD01n5i8yvkKJUxB1WGvsPthBIYQAi8h6jc1CZ7786PgbDZCzxe0pMon8ClL8g8r/u5mthxLAaEvRM6+FfAJ3olMIq4BEvOs8/c/Ysm4HjDcf4Q3IfgkGm+IfJRWszVzE/q8EHSynobkit2x+XoiJuu8bePt26HHlZVsEFVBC8/1CJ0zBK2ttSuMqBB6YlPrseVSUUesOxgLFvbHJw/OIixgE375vw/wwatbSLlrhSnLl8G9q6qTr8rCzaZ5lDgJZxIn4WHYcmcNest1dSmT9vzF+LliS3z26ldcevA5fMNW8Q6UaQjz2IKjVxNIv2iGebFrUSvCB/t/e427/w5FaGRvvNq2AfMCQ/DLQynrlDnJkdfraeuBLbrs6Rm7+yUxSGfTB4ZtuYM1TOHY33/CWeLYmfuK5BsfB0/G10vhfeb37Wh+Mgg7cirg/dvHkFZjCpYvc0dXFVkY0r+PhSB4wxEUNP4a792Wosv3o/FiZjf46WlDz+Kloy3uxwZgSUy6Cubs7z+dRUpKLl41m4f4OE9w1WLev4qM6Gikk4Ddzs6t2WvStgR7XRAyTSnqhF7uPeWrWK19QJKFg1tXwj9gN64WEpt0O2c4t+aO9+sOXqBgT29cX5qMtxGkzyTmcvgM24Jsj+dY4nsUhV8ClxMeod28EAS4NAGZrLAk8DRIh0VS0p/oMWsVfJ0ay+aYtDCSztGrSOA6Fe5wnQqxAUsQk8793mxePLY3P4mgHTmo8P5tHEuroX5MEdWqfUt8cfBRHXzw/x7gctYrdOHLIaMN+vRLk+Gp33plGKHnxn9ibgpScl8RKG9gyssgLDlZQKC/jIRH7TBPrbM1MXE5G4b5i4/inab18feDy3iCfpi6yhdOjfmVQH5eImMhdm0tRPjsx2+v7+LfoaGInPwWEQp5Z8Pj+RL4Hi3El5DPm+kOS8B1hyQk/dkDs+TzgfwcJjfHCPAxPiZh87H454poSfrTr5ce4HPfMKwi/YxpX/m+1GxeLNbWioDP/t/w+u6/GBoaCRfEYutKfwTsvopCMmrtnJ3BDY+6GLygyJ5eevMAAlcm4xM3H0ztpJ/Sm0CEK9r7Ina/L3oYvCgTx9oDgViZ/AncfKZCz2Lo1+HUvC3MU8Tuz0Q3ubwpYURvRAe+wpTInshSlqkkpHqA1z9YEeOFZhXzicpOC8ysvh1XQvvjY6NrpCuBEiqfzGfEtOa8umpbXv5u4YSeKLu422H4tofkDE/xqWi/FClnfNHaIHGMOLhX6o8LCzNxzVeHRbAZCb1UchFhIwZiWnJjLDp+EP4iZzH2xJ3Yt4u39SOnNKGD0NMzgSin8E+VWrBp1xNOY2Zh0qg2KvKDKoRemoHFdnZY9rw/AnZySgY1QG4LbFah2bH98OSNgTkn20QMUGMPrW7hlkqOYqr1IGyTKA5wadYKdGq7HNa7srDThdscsGmPzsW8S0mYy8hBSCU4Nb8legZ/gO7drdB11UG02fgROTECJsa+QVg/lilyTsmGTNRkQd031hbDoyRknv+X2Hfz2BF5tq2jmsDjSBPFUy/Z+1Vh39EWQ9dHwZftoPyJ+6tFSLvlT2ix8NwmpiLtMO7+JJw8tpRfxIiqUmA3dPRLI31ej0mPkRsT2RbSB/sw1nY4opQwL7yzFaOaeOBIE2XTGsNvDMQSemJgytlWytmwiuoDDJT8t5oiEIpKR0RfKsxYDAc7f+Lgbo/+9vOwOcSJHTcSkr/1kH3o7Dsb/+S3lv3O6Dk3cD2PMbE3SF8U7IikkBydCutB25Qc0QnR3DcWtsOjUNW+I2yHrkeUb2uWuHEYvlLysWF8gAbh2g+nsd6xFtuhuJP1ALwXdElRCUvffmkKPPVYQQ0j9EwGZKwsdoCdP4k+ad8f9vM2I8SJmSt4Z8x93bD38UGMkJlw5ePEjK4YeG4kUpIXydaO/KS56NPzNIacSYB/e+5lqeQU5rfsieAPuqO7VVesOtgGGz/qj22YiNg3YWQLoCvvzvCd/Q/yWwtlyidCAw3gen4MYm+Q72XdQYKjU60xaJvSHEPklFd0aovl1ruQtdOFm5/Z28bRyJ0ntC/pS6fmo2XPYHzQvTusuq7CwTYb8RE3AeINOwEyw0NVjEC+edIWNUKbgFyQEJ6qwg262pEvp08at0JXrN4YDv1GYsz08XBhJJF1fS/7exoWNWoDphiiTE9FpyvuRWGeMqkGvWBKSJTdlmZyMpXKT2HOMWyJSsVL6Z/4p9VkzOU3a+JKbeRbJVK+GLi9M4QcR5ZTJ3gjm0zX5xZN6LmFMoJMz+of6+9/QSbxsBc/afDp8I6oL8VIJxlDCJnshO9rOWL6tK7czrsgG4lXH+D5n5XQbsQszJo6QC/nOO1OrpqbnJk8QoKDsevQRWQXkCNN/qloH4RLZFGTn28UCT2vg7/FAbuPTC56L20RGrUJQK79GuSkzmJPdGXyX41Uo+2pX1jUkEUpkRCzIRJiUCbAnLTYavu9RU7BPPmoOJT/jZxans+qBFthMTGy/YSJXoHQs83KkCzVa2yZF/+UBJk0GYNK4oya6LG+vsIGIJvYn9p5SzD7fDbR5JWf7AUJNT0IvV5toYmga7KVL0ZCL2xiDOgDagm9Aelo7EsQFiMHRRMD2anTIE4FSCBrfN/LkSNX7BDR1CeF38ltToK88hbj1E1kQuvLmxS92IthH47CoYoCwWQS5m/vflFVjNKnX2rdIOmDp67Vh/+7LsKpNRlhI+iwAblJUyFccAonx/LjVhLnjq/6H4RzgrIDJ2/yddwDp+4TpS1+KHLlqoihex/jINkVFOacR1Yl2yJpQR15K982cW2QU3TYwFdMdY4RHMWhIpTAHuastpfbqPB9suJQ/jdy43c+C5VsO8husHXim5+B7TtPotagqRhgiJc2H58ibPMuHLqYDWFpqdJxDVISZ4mW4szP2I6dJ2thkGw9JDdX010wlTjc6vvUcd2FBGJCWk3khxxGzJ7GtGZ72Rt6YfiD+Uhf7qi31LTIohv1WvGXjxJ6oxpMx8cWTOiLAj1orIPywicWKX7htJU/ddX0rZGEULZ4G3L6oaFMrHKAc45RNpFSSS4yDm+Et88aVie8FpHQu0800wRaWUToN6Heit4Yd8cfJ4h2rsKFLBNhN3Alsmy/lzMr4MnfI2+c/X015FXKRRN6nsBUVYnYx/eJw3Ikhl9UNfofGNl+hhJ65eAkqhsAzhdiPdTJdRpAoPVqC8sj9Kz9qOsRwIZX0jGgD6hdjA1IR7MvC78YCWWUjU/+d+WQ8bqIu/KtkfD+cCVTQP53RR+BfCSFBOEgMVXzmdpJNi65MdYb2x7FY0KdoglE6Me6+yX5RtsJvT54ipyPdRJObenwZbVZqnTbyv9eROgFuVClTRefttD/BkU8Qwy/I+PKRUwh7xFTSHVqqDryVu5H2ueSTLlbQH5uqKqquMLN/YflNgUa+p4cZkbhK7INi14jCnGXYzF/pBu23YBsM6R3MsX8gbkIfTFXoxRkRwm9ORvJggm9EFVMW/UNDCFcygk9t+BmiSb0hQUP8fYDDRq3gtPoa/mTPuGatg+mTH+EXVuu4u8Wa5BOTuFVXZvIte+1ZOzdH4Yjp57CqtNXuBO+HomfqV7fiiX0wsJXpYE97JVsMgv/uMMGXNp1bQm3WVBZuJX6SwkRep0n+triEwgmOnra0BNDAZFtYXmEPiuwOXHcy0ZFQnJfENumW+xpZib06QPqCL1J+5JwQq+yOecXKU0E3US/q3P6LbxzHnH79mP38V9QyWYg3jm7CFFXVW929NqYaiH0euEpcuUyinBqKqvKvCAQCQ23XsJNn4qpipZbMtF5c0CIJvTC3FClAeztlcxWCv/AHXIA47rrGjgNAw19z+yEnhB35iColob7cU23UyL7RHG/Rgl9cSFOCb05kbZgQi+YKWgyuCGwqJyUiYSqlBN67pQmF2tySIApEcH3mGh0N3w0KxxwKjg1FTYI3ARXC67RGfjhDxLB0DMFLdakE1lNOUpP7CdDnfph5sk6mB27H749mMVHs8ShvoRe1PWnAYRe6wZHZT/AEUudBJ3/TjRxMjWh16stLI3QC6enReYNom3v5TZ1Rf2FbGwe/okKVrVwh98YmKQvWRShJ/bgs3th6Jon6B2eiG2jmrNBaTSpU4nul6bEU+R0bEmEXt4pUqfSl7kJvahbXQMIPfEXefhnBVhpIuNi2o3ID7ba0wNXNEbC4sp1RuWWVUzixf9OsRH6wgI8fPsBrEowgpRU8hD5L/8B/lMNta20i2OYviUooTc9pkUpWjShR3Yw2th5g/e3UcGhT/gTHB+vn1c+lwjXqX4Vo/tu5AmvOUxu9LWhZyar8N5FV8nKQHLpvaewQWAnuAwhkBDv0BXfAkGCQyo5DU6cUY/Yhf+N4dHyEWjlCf0k/BP/K6r16QhGX0YsoScJszbDr5Vtj9WNBAMIva4Njnw2mogQd6L8rsotiWjiJCV9sDpxDmqkLliTviY3+raFpvT5mAjvFrNTrKD01JJgcZEErmLsvgzoA0WknalfEL66QjTtDUhHefNW1B/4xcgCTujziGZ1M8/TaEJMTS4Sx35VU7ldsE2Jx8umfWBLbPpF90u1hN5APEWuXMVD6IU+r96ERrC5d9iQKwv8U2KEnhEbYMzxlG5N1cNpAKFn1rSgr3DFiEB7TH8ajZ80y8Sy6+ZydFTxVxDZKdjXHmPPqA7wTdHnG/7dPmtxNXSwaBt64YZQxXTLgKzVfnLtAFEbisPR8HCkOYpQ1zNVvkrp5MdMwajj3bFqfmM8DPbAiJ874NDZdUoRfs2UuRz3ok6x5sHYsgk9qXN+jDvshm8DozxY9FSEve9JHFtaZDuqHzyc02EEUaC4t1RHTLhiJ/TEqSnxDCRfdCtyvlKqHOtgmThHdNROdmHKkiNLCulx0Wd7J8xQUGDhvpEjdoJpTn0hHWGBVDJ7Eogqq5TSH7ECsdKH0Gt0vCOJMH/rtAc9Uonzmhz50EjCpEQZohLRoZeZPTB2+C74a5Oc86KWzsMFTklTOqHnnQ+PqHrqiydOAgn/Uo2GsxBsTKxTrL5tIZizKaUvRC1WIaz6bjCKANV50i6oZFyV3yzy7azWMVpNHyDqLs2J0Pa7Moc2gl/fKDgeJxEfTdmXLOiEniObNkQ94xpRzxDwVmwnyN3Mie+XJC1T4SlyUi4eQk/WElZ1KB79eCfXouLxTrH7+iDiLpkX+DOikiP0mp1iGbO6C36dsKdHKrjDcd2EXuXwgbRv3yhHHBfWPjZa9294v6MDmos6OebmP/fqnHmcqnYLN7f1I2aR1xMnyxyVdXUHqeQaMnKqFgka6PrAhH83vWyl+sKxfeptSRF6Zn6ww45vk3Hdj2itSU/Aq05vpMwzrSOw1mYR1hhtCm5690cTdoRSnpTFE3oGX2agJ+/dj8grj1G1US9869JPI9kV1x68c+VfurXcC4l5y0fOUZAqO6qJywhSoh7TuPNK3BfpwPuS5FeLya+GOmdJJlPOPGHmF0WyZLqKIlwn1hoajnMR4xUUdThJv1VoeVBeWi8PIUSWcloaIXwvyCknP2MLpxi1XKORsdURSSPrYOShuvCVqbRI8VvIIDguTiVXugPIt3OQ3W4dWl1hZN4EJ2dlEiKQV8WNAVeuhUCAvAQfcQT0G4Yl9SMQzwv254V0gvW0ZDhHvcJ+F3X2nIy8XzN43pqBX26SNEEmsU7JmJgqLx+pBUE2ovBiNJK7DWKi/n3dbTV+lVbGFKUTKAEjRedDKZERbAzSDfD9LzeJHB0PaH4M3O2G44hjFK6ShZHjEZyiUGvnCOIrINZHhIvsKb4tADZ67uJGCH9yHNwlF0MUvka31b9CWllJZUUWzVhseQQ8hXrfJ9ZxyhKxhbhzfh+CJk/H9mfdsDbuACYrybqJ7QNgJDvrkRPN1uF4cnw8apMTf8c5H+HAwRGsZr7YdHT2JWFzqGzql78dfT+dgPg+fP5C9XlinK08d+j5uzCHkM6Dm0TVi+k9XPs9IEIqd4kTJ9dzCk94ocPoaFwt+IzcHF2E9ZJOuEfGImOWp1e/NBGeuuYl7u/8XJOsPC+I+5ozP4xS6V/52/vi0wnxULzFJTLIbi0wJOVbnEgOQU+euHOylXtgH5WOsMHCja9QLnIY8Go/1E0t+uWtqQ00/M5vdBciQEGBLD/JD8OW1EdEPE+UhdstgsGr/S5qFd+k5JaqHrnxbM3PYXkhjpjz0QFWuYd5Mpc2Q6sffgWUnbo1NQF/aLMP9phx8hiZz+RvyYme/O6R6D6vJkLSwyCDU2dzZmJps1bgiiE+aKLOZEW+IBzcmE6HXn3GJUvoyaY2IxF5Ndtx/Ikn10/lbqVEwmX4ayICS+ndHw0vTZn7slQQenOgzqoazLBSlIeTZZSHn9wnYOuvz/Ho4XO85X+vWqshPibjoHfAGfjKy7eoK+C5QHRbeAh/EA+mV8Lfq9ZCw4+HIoDo52v8nJC8KT1m4kqfrTi8WklVhuVdjKnGcCDqBdFF1xoSS1aqGLdK+G74sEsAACAASURBVPHrS9hTfyc8F8UDtk5wGtYCOL8OqyJeY+jOwwj8hg8ExZR79h7ieMWVusKHViTQUQTCOpzDt339kSqAUaEN/A8uQeWQ8Zh2oBB95nii9d2TSG3gjeCxf2HFkEmI/6sJBqzcieUVtymkCQaHUasR3mAXXFeew8PnXKJMXuPWJcuw5YIBzcPKW59gWIcmBMsc1Bq9CoFsoJ5zCHSYgR2y9qmKWg0/xlA1bSN98DN8h4zFoco90f69fNT3i8ZyR5k4tY7uxQQ8+Q5uM1NRY6ILuj1LRjLcMKXOEnzjl4PqVo3QuO98ohkOBA5fhpM8bgBTnlFYHd4Au+R/r/AhrLp8j4iw0dzJFRMcaOFUBKR8BjfXFrgfnwy4TUGdJd/AL6c6rBo1Rt/5UQgbrSPiGJPOHBFt0YtffBlVnO/cMDO1Bia6dMOzZPX5+hLxUPk2YttOVx9maNpP7piwMU1u/HDtw225CtlxUa3lMAydNAGTenH23+oe7X2g6IvCjBCMcV6M3BZD8PmrAgxedwgT5N09jOxL5wIdMGPHQ/BdVTYu3O66KvzOzBGjVoejwS5XrDxX9L763yvgQ6txWJc8Avfdh2MZCYokzBVF78v/zrzfBd9HhGG0FQk6tHY6Jq3KxKeuczCi8kmcfD4aQcsbI3EM6Xe3P4T9lI3Y3usqphrQL43DU8SMzc6PCfjf80ey8U9AhdVnH+K9RpMQLowPjUkpj38BGzfcdVWeFwgesjmXCVS4EN+tvIxqXzdCDcl1pD1TCkJFyuYwY0dRuVT6vJ55M3OA60qcU5ir+LlB/nem/uPWIVlYXPjAUvNW3sInwzqgCREEyKk1GqsCncDEwFLuk+z6NDSA2K0rry5EMz9kDJwX56LFkM/xqmAw1h2aIBM4kGYFYwCJi1B1/h4SNKvIfEsj9ORAo9H06jh4qCOOe05A2F/d4e7ai8xneYjZsA6/Np2P/67SNziUBInz+mHCsU8xf0+kyuZeRI8y7hVBglRBgtm4JNV9XdKEvqhMXAThjrGjcC5hroHxfAzARzjM0OL/qHd/NKAYZfWTckvowQZV8MKnRON2Yy9xxNgSOoGUTDzVx1fFUXmdah0FK+TkCGSnN4UF9/D0L+aj9/FR/aLfLaF+tAwUAYoARYAiYMEIEMfOAtSC4FMrc7JkVpSP6st+t+AaqBaNbFLqdwjEfUOFNkRW1jIIPRO8sD88ns5GdMBAWbwCkVUw7jVh4yT2Nsi43Mrd1+WX0PNOnf0erCsKUmTxzc+ZVvxgm4xb/kXxRi2+2LSAFAGKAEWAIkARsFQEZMHhxPotGVaRkif0jDqWB453W4uAgQ3xLiHY3zzwR+JUHTfAhlVX5SvB+byiGMELE+VZnpIpx4SeNLOEmK9YL0KTM+rDMltaR2Bst20G5WOdfOhwSyskLQ9FgCJAEaAIUARKFQK8spBEVejAJNW4nYLo9Cs4Mm8qIipNwlZ/J7TtwSlQFd8jQZz7V+i/jdzYy56KxG1AvPmusWXlIqZLYC9GYdDYzMrh9+Wb0JMGzyc7VLsfmyOOOEYp+eRZVndgnKQcx6BwdSoWty89JkKWBSItDUWAIkARoAhQBJQREJTLKspF4aUomRYBId5IDUw/9YxXaTJtDuU9tXJP6Bl1D8Yr3ylhLE7IlEYsrVsw6gy9cMDpBHGENUR339LqQ8tDEaAIUAQoAhQBy0HAWC36N2/e4MKFC0ZXqGHDhmD+M/SxlHKolj8O7pX6Y5t0ECKeiZONNhSD8vodJfRsyzORJf8APrbSqLZRoh3EFJH9SrQCNHOKAEWAIkARoAhYMAJ8EDqJgRLVT548wciRI42u4NixYzFu3DiD07GUcqhUQFC4ERUB2eDql+sPKaEv181PK08RoAhQBCgCFAGKACcJTaJ3V9YUA8Z0GN25noGNPx1B5fdU0+zWrRuY/4rjef7oFgJDdhdLOVipcNcjqOcrIqBncVS+DOZBCX0ZbFRaJYoARYAiQBGgCFAE9EFAsKOvR4Il3oOuIPL6pKz4bh4CO7bBoUZe6P/Ff1SSKT5Cn4fgLu2wp6FnMZSDj8YcUZnazxvecXR+SQm9TojoCxQBigBFgCJAEaAIlHUEJJHDUGfkIdRdlGY2aeh8clJtHemEW8fc8GkJAlqs5SjG248ShLTEs6aEvsSbgBaAIkARoAhQBCgCFIESR4ANODkSh+ouQtotf5g82ouUyGPW88anJzmp7ATvhliU2xstiNbFq9xbqOy1FWFO1uaHoZjLwQbEHBJh1o2S+UGz/Bwoobf8NqIlpAhQBCgCFAGKAEXA7AhIccKrDnpvgllMQ7JXtELnOyvxeGMvMOLTMW6tkOD4A7pXfR9W9t3QoWEVs9eQyaB4y8EFxBx5yB4bcpNQTDGsigVHS8uEEnpLaxFaHooARYAiQBGgCFAESgaB7BVo1dwHOUP3mjaKfP5uDLY+Brf8SDjxvD3GbRherwiFw9u3qFa7mFT2irsceSHoZD0NaabGs2R6h0XnSgm9RTcPLRxFgCJAEaAIUAQoAsWHgIScnFtjSEQzg06UC3P2Yc74AGDeKWySxY3h0lzZLg1JckfUMW51sbrRJmxxqYzwibPwYu5hhA7+wiRVtYxySHHBzwYdAkEcjbOJozENimmSxtWQCCX05kSXpk0RoAhQBCgCFAGKQOlCIC8Ujs08cc3jFO6vc2TNY8Q9+cg4/wh3tvWA0xlPnM8OBMNhpRf8YDPmX+zm/60urfuhjqi/oDGO3wxFn+rictP8loWUg7kNaOCKX1wOI5cE7qxhbLXo91oRoISedhCKAEWAIkARoAhQBCgCMgSkyApsh5Z+rww7WWY3BPNReUsaiJgNQh1tcXpqPiIFWxsmn4QpqDrsFXY/jMAQQuBZnXb3StifHwVnowk9X5ESLYcUiTPqoceW5th8PRGTTXPxQPuoFgQooafdgyJAEaAIUAQoAhQBioA8AtIL8LPpgNX1N+N64mTox0d5U5OI3ogOfIUpkT2RpSxTScj2AK9/sCLGC80q5uPAiBaYWX07roT2x8cma4mSKwd7K9FhNepvvo5EyuZN1qLaEqKEvlhgpplQBCgCFAGKAEWAIlCaEJBmrUCntguBZelInWWjX9EFCUxpSyzN5GQqlZ/CnGPYEpWKl9I/8U+ryZjr0gQm17kpiXLwm6GtHQ/jKjG1Iaqc9CkGBCihLwaQaRYUAYoARYAiQBGgCJQ+BPKJhnqL4b9izqUkzFVDyrXVKHtDLwx/MB/py/Wxwzc9RsVbjnziANwCwxMHISo9DDK/YNNXi6aohAAl9LRLUAQoAhQBigBFgCJAEVCLALGnX9EJbVc1RdTVXZSgau0lFKuSHESU0Jck+jRvigBFgCJAEaAIUAQsHIFCZAR2Q8f/UlKvuaEImQ8dhJ4LqmBN8l6MaSxeG8jCG7/UFI8S+lLTVLSgFAGKAEWAIkARoAiUDAJSPEhNxuM6DmhTl5JV1TZg8MnA80at0bwGxack+igl9CWBOs2TIkARoAhQBCgCFAGKAEWAImAiBCihNxGQNBmKAEWAIkARoAhQBCgCFAGKQEkgQAl9SaBO86QIUAQoAhQBigBFgCJAEaAImAgBSuhNBCRNhiJAEaAIUAQoAhQBigBFgCJQEghQQl8SqNM8KQIUAYoARYAiQBGgCFAEKAImQoASehMBSZOhCFAEKAIUAYoARYAiQBGgCJQEApTQlwTqNE+KAEWAIkARoAhQBCgCFAGKgIkQoITeREDSZCgCFAGKAEWAIkARoAhQBCgCJYEAJfQlgTrNkyJAEaAIUAQoAhQBigBFgCJgIgQooTcRkDQZigBFgCJAEaAIUAQoAhQBikBJIEAJfUmgTvOkCFAEKAIUAYoARaBsIZCfgdhfClCvRx/Y1ihbVStNtXl5/RTir7+HlgO7oHHF0lRy48pKCb1x+NGvKQIUAYoARYAiQBEo7whIs7CiU1usahqFq7sGo3Z5x6Mk6y+9AD+bDtja8XC5agtK6Euy09G8KQIUAYoARYAiQBEo5Qjk48CIpnDOmYPMi76wLUenwpbacNKsFejUdiEQcAlJc21RHpqEEnpL7Y20XBQBigBFgCJAEaAIWDgCUmSt6IS2Pv/DwsyL8NXE5iVZiE8pRIO2tmhS611IHl7H5fN/4XPnjvjcDDWUSq4h+VQOnpG0azbpAYfmNSyL1BbewfkzaXj4F/C+lT26dWiIKibGIS/UEc08r2FM7A2E9Sv7NlCU0Ju4A9HkKAIUAYoARYAiQBEoHwhIL/jBpkMgqi7NxEVfLSfB2SvQqrkPMgVYqrSA9/44BH5T1+REW5oVDMd+ZzDu5B5MqleAfVM6YWXzOMs5qc6Pgbvdj6j50yEsaV8FV1b3hlPOD0g3ualSHkIdm8HzmgsOX92FwWXcDooS+vIx59BaUgQoAhQBigBFgCJgSgR4W+1A+OJ89lK012bXwRB6/09wZLUjKcH7+Kh+LZOfSHNVu4/wPo3hb38G95a2534im476Hc7CJzcJU78wJQCGpXVu9ifoemsNnsWMAXtuLtmNwTVnwCrhMTb2MrFxTHYw2th54+6YWNwI68flV0YfSujLaMPSalEEKAIUAYoARYAiYD4Esle0QnOfe3A9nItdg3VQRYbQB32FK+QU2qwPS45d8WhNDlJnfcVlJT2AEZWc8fvme0icXM+s2etOnDis1u+A1b1j8YYQbO7JQmDzlljleArP1jEbHlM+UrKfsUGHwD8x/dR9rHM08YbBlEU1Mi1K6I0EkH5OEaAIUAQoAhQBikA5QyCfEOcGrjhivwG5SVOh8+CbIfSjT6FZky/RpBlw6czfcNu4Ci5NTGw5zpv22B7+l2wyhDaJgds7Q3BsujkIs77tzpUlK+garsy14T/OxopWzeFTczPuJU6GybcckkgMqzMSh5oE4dqVuRBy1bfklv4+JfSW3kK0fBQBigBFgCJAEaAIWBACUiTOqIce6//GFLFmIpJErN7yD8b49GIlLSWRw1Bn3HOsvZ6IyTp3A3pUXQuhj3A9jH/NfUOgs6haCD3MRbiFU/pn4m5TdNbBMl+ghN4y24WWiiJAEaAIUAQoAhQBS0RAOJ2vuwhpt/xhZ0gZbxDb7ibegLxpjCHpKH9DT+jVo5gXgk7W05BsbUSbmaJ9zJgGJfRmBJcmTRGgCFAEKAIUAYpA2UIg3b8R7BfnwmFDLpJEeZnex85vO2MRFuOX/WM5kxLerj3B1GYwvA39XXmTFnV29SXWJJwNfWA3+dsCdXb1pi6gBJHD6mDkocrib1VMXQQzp0cJvZkBpslTBCgCFAGKAEWAIlBGEJCegFed3tgk6Y7N94i5jCiD7/tEPtEBpz1PYadLY06mklWeWQ37vY9xcIQptVfyENLJGgtay9nLs3nFYtq1K5CZrZdYc0hxwqsOeucsK7KXZzcc7qh++AWx+zef06o0xg3Vh0QAQ/fi8cERZU7xhhL6EuvUNGOKAEWAIkARoAhQBEoTAtITXqjTexMk3fVz4JTETUGvXW2xe9t4NEEOto7qgsW1tiI9bDBrU2/Kh42S2vE4xl/+GV71iQ792NbwrrEDVzdZiGwj0aF3azEb1fYkI6RnVWQsdkCXBHdcTJ5mXodVKcm3+hBESPXZjJmyZcybFiX05sWXpk4RoAhQBCgCFAGKQJlAQIoYt+oYEiFFdwMkIKUPUnHy5Glkv/4C9l3MG72VixR7Dml5lWHTvSd6tjF9ACujmpSNFHsGv2S/xhf2jvjGsYmZdPnlS2lc+xlV32L4mBL6YgCZZkERoAhQBCgCFAGKQClHoIyf8Jby1hFVfMnuwajpegRkR2YeiUxRpTDPS5TQmwdXmipFgCJAEaAIUAQoAmUJgcQZqNljPST1SGTYeyQybFmqW3mpy/1QONb3xGkMQsSzGIwxpftCCWNICX0JNwDNniJAEaAIUAQoAhQBy0fggl99EnH0PmqYWpnG8qteQiWUIjrqKJ7/9QrvqinBuHHjDCgXF5XWL7si0aQ3rxOuAYUz6hNK6I2Cj35MEaAIUAQoAhQBikDZR4CPZpoJDIp4hpiydLRroY0nJTciH024i77da6KamjJu377doJLHuVdC/23SMrcxo4TeoO5AP6IIUAQoAhQBigBFoNwgwGu5HyE6LEszr8HXttzUvGQqKiXa9DZj8O/ubAS2N62U5f1QR9T3PA3Yr0FO6ix8VTI1NHmulNCbHFKaIEWAIkARoAhQBCgCZQoBwX4erjj87y4MLlOVs7zK5BHSbXt6KvIjnVDlxmb0c9qPDztaoyrycf2eA1ZHzUW76gaWm9XlD8R9DEf0m0g4mXa/YGChjP+MEnrjMaQpUAQoAhQBigBFgCJQhhG4EdwGTbzTgJZBuHZlrnn10sswjqKqJiF68dYr0S4tCWwg3uwVcPT9B16ujYGaTdDDoTlqGEPCZbct9eB7/h6WlhHvZkroRfUu+hJFgCJAEaAIUAQoAuUVAcHumnhS4t9d9HzefP1ASoLo2sCzykFcJHZNLG8nhH7Yvi7Y5vEZXlb4CPVrVTEy+0TMqNkD6yVlyx+CEnq2WxQiJ/EC/q9NDzRT53lhZNcx9POX10/h8nud0KWxMVtRQ3On35UJBAoLUIBa0Dz/SXHz3EWgXRcY0s0kWedwq2Y7tKlb1vuocTiZvi9JkHXuFmq2a4MyD73pwaMpUgT0ROAGgts0AXNAb7M0E9cMNqCXQvIwHy//Af5TrTasjDpm1rMKLNUpwL3XlYsIsVSCh38AH1vV4IhzcT7SBzi7djqmnuiCPcdmwVYoACHvrTrfwcrHG9FL7jeHkVfhvnkpWmV/h7ERDthyYjYMN603VXsWJ2C686KEnthjnZjRC/51dyNxLr8b1I1b8byRnwS/4T/g43XxmCXr7cWTtalykUpykZFyGQ/RAO17Gkg+yKSTm5GCyw+BBu17lnryWFhwD09hilMGHa0kJacQ9cgpxJ8u2J8fBWcVe0MpslY4Ygo2Gd73CzMQ2N8b75fiPqq7r+uBE7NAXr+M87nP8L7V1+jY2pq9GpbePIf0d7ug4+e6cxP7RmFGIPp7v4918XKLoaiPC1Fw7znerW1l3LW1qLzoSxSBsoBA0YmuIRFiWQSkWQgdNAYHewRj7aDKSPQdjZ86H0birGLkHTFueGdIBCpWt8KnH77FH08qYEDYaewc07jYCb30ZioyCs7ge4dl+HBnGo65MbY1+dg92BqRTrfIvz/V0HGYtuiH1MVXcH56E4M7V4zbOyTiL/m8DN24lHtCn0+ihlnv/xa5MWNQW0PXyE8KwY6n38BnMNPhtD9pYaPg81+yeN96iBdS8m6VWmjfYwha4CoSMh9zH9dpibGzluK7wSLswLKD0abPZfyQTpxwNBVQvkgJ3mjocZD9pcKHVvjsw/fI/yvEH3cK8Ir7EVaffQj21z/uoID9sRnmxcfB06Su3uREc/dYdPfMhdeptfjfRAcse38N0olHuY0uEOX+Lr25G2O7eyLX6xTW/m8iHJa9jzXpqZilTyJ65Ge+V+8jdroLJkeQzQ3TMYpjEuGduF4TT351uOeTyd0uvDfStfR9UXjkkUAdXZIxU2wfFZWo5bwkDqdCZGz3hMcyCQYs9cOIdjUgObUV3sHXMG69B5K/XYQmJ02vjME4jnVJnol0YgKgc3q4H4vpLpMRQXbGL6QtEXTtCuaWunFUUv1Cigepe7DndB0MndnXoNuskiq59nzJvOQzDj4/pePWwxeQElpnvyYdqTomWGnibFj3W4OHZCqrUqs9egz5Bh4LFqJ/veKuJbldPxaCIwU9MXZ8a91jwNDiSQ9gRCVnRJHvXQ//C0MsbrJXtELzI5OQmzQVLJNgAxytRJe0W/C3M7Rgen5H5vz6UW2wZlgdkBMHfN2xNayL+5ZAochSJM6ohx5x7jifHYivk2egnvenOHnRt+jEHjewwcEOWwb+gqx5X5OvifpN/Q444J6BnIXMvw17hJgCZcknonwTeoaI2MZhQi6JFqawGjInWE/x9OFFHNm4BAG7r6JQTwKWFdgcLf2y1VzPkYXhbACG9gnE1YbTcfTsOvTSsRIzE0HnjAX4lXh761q02Ulj1RcIPxeB8U0EOzMpDoyoBGcyG7UMuoYrslWcTIbbXdFlQh7mmHpxZ7Bt5om3q3OR5H4Hs637IbTBKlxMnqYHoc9DqGMzeL5dTSZBd9yZbY1+oQ2w6mIyppVWIpIViOYt/ZCtZ38yZMriJqw3ZAG6ShYgpZ7D9v0oDM9KxGTd+1Sd2TP9zi55Du4auznQmVMxvyAKp3zEuNth7K+zcS5R6bScHwenK0/HqWfr4Gjy4jPa2HZInnOX6GLrmh24zLm56V0zEfrbSIl/iaZ9bFGGAjAS1BIwpWofbC4EOq7PRfI0xUFzOyUeL5v2ga25K307BfEvm6KPyTNi+lFnLL8ngQS6+qoEkYQQjjzEnFiZINqmMXXK2wAH6+lIQRV4xr/Cpt4mH2BcgowZSHMfZMJQJ0pew95W3v6eI6YRrudxr7i8Mgmhb3XDR44DmAkvfZLN343BDbzwdHUEBm2djeeblWUqGdLfBgcGnUdIzyrkoiMQ7ToexcQL5zG9uT4ZKb7LciUfElSgDEX9LceEXoIYN2uMrxqFxxt7KV03kUUpOh2PUBPWn/2C8Q7+yNSTgAmdRZFAF3WovJBOsJ6WjIrdN+N64mRux67pkURiWJ0ZqBt3H+sctVu6MflOJs4kSaxreNEjXC+plkdCrrjq4MzkNwjrZ/jgUP5SQm4+arpeNs6DnPdEv+xbjBOe6SBQn5KwMOjZn/QvFr+AvJrPnnwo2hpKccKrDhHsUtf39c+J/UJ6Al51RuPdaN191MAcSuAzcThJyCJpPfwF1t1VPhhgisyMr5pE6C4Cz8hmxxx8T3rCC3VGv4vo+2TDIMIQlpubYB5Cz4zZ7o8QWOZUQMiN44FArEz+BG4+U9FJYe/EtHF3PAo0/40HM692fxRoBkLGzBdLcKdjAjZtAqYkPMZGmQGz0tAjbTxs4kH8c+gQjphAwtG4OuUjKSQIu353wPe+Tua7OZHJHBp6s0VUW94ZgiyFAzV+jm5gvrlBZdIkc1Xz2CZwqU42Y5Vfo/CTAZju3rXE/XDS/RvBfnEuKg6PxlNGplK54MTePnXPbhy6/xf+V/gJBkx3R1cjnYekB0agEnPKaYI+XAKLk9osyy+hzwtBJ+sgdNUlWWQgAdNF6IkbN6+D2h2b75FTUq1XlRyxGPhkIx4fHKGVFMS5t8KVGVdUgl5oJvTM4UMrBH11xaBrRE0d2SSkgceeMA8zLGAlNAQN7E96l5bNZyHeU3d9Lrbv65Wp+D6qV7Il+bIonO6TW6T68KymeVFmxt5ah3tI1D7IDa8pu5kaiCcbH+PgCN1bBpOMTQ2lZTcX3zfEL2WO0GtpHhb/79HwF3MTem6Mfd/wFzPMhwy5DMJX277AbPvFeDB0r8a1Ji/EkficTQWGOJNtqrGa7Oask+FDSh0RZmzPyR23gRthLYQexSiDeW4BOuxthf3/dSIknp+zUxfobQprQmS5pCRxmN55K74+cggTTHBjLKp8vD8BIIaDiUqxxF8qt4SejRQ2v7nua3ADCZhOQi+7wrPHmhxiE67Dfl1KOl/1IS8Q9oycAmpZs2PcWuGGj+rCoo3Qk6sKtMnzI3aTpjOiNwlpoITe4AmC69+VsTPtGFhfI7mHvR1a0Fp339czd66PPsBanRtUPRMuodfF4RQH90r9sa2PNkJfH5e8zKl1LCVDuDqGPFiLe+S2T5cZs0nGpto2YRzaGsD1bkC50ulm/LAauN5FgKnNFpUxZk0TXHE3wBwHHDyhvzITlxvZY/GDodj7+CBU94fkPccQfP1zH0RUGmI8oTdrnUw4ccjIn6EbGC2E/j3Do5VKElfDJ/KGjopWRfeZazBSnZkqW69jmH7qGbn9Nwyv7L3eWHuadcbT8nyFEUGz4chzl+XLlyM+Pt6wDOW+On2aRHs19JG1qaGbNEMzNt93pYLQF+YkYufeSFxhfUrroMOkSRjVpq4RXtl6XIObidBzJilHAOtFSLvlD50+MawDzUzUPfyCnKSLuFdX6jNaCb0kC/GnMpCZkoJbr9rCY31f/LsnHPuuS1C5vRd8nQQPeM4xLHz9USTee4tPv7RDH+W2YNP6Db8d9MaMvcDIdWuIuRApzGd2cJZJfHCOTNv3XcBForZR/au+GOM+CoNkbUok+eJP4bffDsKbS4Rz4sFnsHPuCE4ohCvL1tB44oB8H3/X6olBU0ZirGMT2XWdJCsepzIykZJyC6/aemB933+xJ3wfrksqo72XL5w+vsGWNfdqAulbdTF4gQ9aPiH123cHb/5+jPdsJ2HSKEaZh8tr96H7+POv5yRa3UiMGqROsYevV9xVZOcW4mObHhjvrXQ1qKk/FeYg8edcVNNDxUf6IBVH9kTj0vP/Q7VWEzHb5XPk7lqIjBbz8K5/TXjXisUNYkeluP/j+/770XhDrjbV9yS+nffdxMv/9yF6uM9E3/oF3JXnnaeoVHsgRk5UI3PJm0i9H/2GqBSI6KPMNerJC3hp/Q0cZf4e5pvsFFJm8N65F0cf/A9VrPrAk1w7v3cuCOH/54b5fZi+JgYnJkVB/qwWXKMzsNXJmHmJSY/rQ7tTnqPwvcZw9RqP1lVzcGxLFFILSFm/Hoax36o6/3Hzyfuioh5yhP4ZMYe7iSn/OYL9cddQ8Fy+vyu1AcHqWMgW7D6XAUmFhrBp7wyPqQNQ1GREii83A4eXjceUbTcgrTcS69YMIzM1eap9iR467em1jRtuLsjITEHKrVdo67Eeff9lxuh1SCq3h5evI/46Q+aKl3JlJnl+WY3MQY8Uf2PK8TwlGumy36vhyx683Ttbx+2Iu5qN3MKPYdNjPLxlpgiKZag7eAEWEu9PJUIoxgAAIABJREFUVsHr8DKMn7INN6T1iuY6yKXLF4EZq3u27kFyzmU8eedL2A3zxlwXfq7SNf8O+BgPMg5j2fgp2HZDinqy+ZCBt4eiPT1rmrAVe5JzcPnJO/jSbhi857rItZWm8SUQ+l1owZuDOmwg/k9KpptI90ffowNx3P8Ba0Ki6YSerW/4ehxNvIe3n5L69hHmUgEQRrlMe510zt+NH7GmsVfY+Rukb2yBuz0Zucy8r9gh+HYWTGkFDFTbSRM6sqBSBt9IcCo5W4bF4o3MtjULgc1bwq91cenaZ2Ov91qktpmJNQK759ejKmr8Qsw5E+fk5ODJkydGZ9GtWzfD0xD82Qy+dTE8a3N9aeGEnsjFhQ5CT88EoqWt+NQiNshXxSg7qEWOG1yHp4iwzTYHoSdylHP7dMbKR72x+eQRTBYlScmVOXGOYRq4Wgk9K7WXjMDxA7ExcxAmev6D2qOJXOasDkR3t+gGITvYAR5/BOHg0k6scy4jm9etYwAQcAlJguQnk1b+S+Ru6YeuS7PhvP0uVjM7//d5mUZSd/9hAxDbLQaHFnK2e9IHP+P7niORPiERCXNbE0LOa/XmbkG/rkuR7bwdd7lE8FH9WqgivYndY7tj3tslOBkxnlusiHxiyLBBWFZvLS6EMNeJJF3JQ1xPDsT4gRuROWgiPP+pjdE/fIxZHbyRRpRfcpLGoertDGx07Y/AtEYY7tqQ3L6twrbxZKEtJNfon/dGePMNONT3Z+ysxf+eT9QOmjojcYBS/yOSZMGOHbGs9mYk7x3D2nIy6igthv+KOZdIewttrKE/CTaERGICOUQJSNddSf6JGeg69Dycjh/D0k4fcvKT56riZmwlrHm2D+2uHkVBPWc1Mom6+hEZc8EjsKjCAuye2hrvMiYUA3PQu58UH3kdxI9vf4SdywZ8tCRHzY2Ofk5eLyOH4YORh4CKExH7JgwmdOHQOl9Ks0IxqOcCVFmTjL1Eru05aadeG5+h4tks9D4jnKTrwqkoC7adyXU8M0dVqWWDdkPd4Dq8HwbrHc2QONdOGYVzg3Yi8Ju6eMgQq+BPMLz2a3TZEYOu8X3gMOcCnA+q8XdhTfgIvdJlQkjKKLs9tO+PJl7K/V3Jp4dchbt3DUO3A3sxhunUhDAemNQazsf74vBVQXlL0NZOxOwG4xFt44ezcR4go4kR20ZtbRrXOscNIWgPryM5cDwGbszEoIme+Kf2aPzw8Sx0IKLg9muykODyt+zvNQZtwamNzmhY4SXuHPsOfSYcQoHDSmRETUQzUo6/75xC4LdkvF9tiIm7orGSKI1VvhEMx47LUHsz1x8qEum8GLcWGP7rHFxKmkvUNpj6XcdJv2/hsjNXJizAzC/5RFA8cXYDjI+2gd/ZOHhwlUY1OUnQ/Bh32I3OxFh2rJKZk9R5Rae2WNU0ilvDdM2/WQnE5vkl/iHKMg3GR8PG7yziuIwUtczzY+BuNxqZY4/jGDtHM3KrndB2VVNEydpKN6EfzB4eeeK0SkRUxkSjE5InphJVFu7EWS2hJ8psDh5/IOjgUs7XgJG27dYRAeR/HJ7kN36d0FYnnfN3qgdq5mQhzKs7fE9LZeozzHe3cxKwStgATTqKlPUDyJpAlKgWO8DOPwdW/ech2M8VPXlZWV0ES+ZAaTCh5x2J/wkr8qXhlXP+inhGHNp1m8rpKqPuv5OxXNUDT4jE8LEJ3HE9Z0eeYNQJve58LfQNmZUEPaEvlhaSkkXKpkMgcjXkpvYEQUzJ+IGUu0YdKVFKwEhCL3+a8jtzknAzBydPPsHnrj8iJEDMyYlQHnVe8mIqy72jldDzyQjKPDWmJLCOws+JXOfOmx14ObB0+LNXsb2x7WY8JrD3+pwNXu9NnRGhZAokTICKEl/5RG2nKZzTphBHzaUKjppSMtE37rwDvWNvEOdcfnJTiz1ZpALboWVAA0QoOyHmb0ffT6fgqYLdOH8Kkl2Dd/R6TpyoduJmh7EY35rzbBPKWlHJblSIDCjgIZw5c1jK293x0lvrv8SGXD5UNZtyHkI6WWMaNhRJlWnoT9KsXXCftROfeG1GoOxGRH37SokcZb0eW9AhQk7ZRJBV0xWWnF+sieOGeptucgLXZmULHBMUlfjy5vDYSMKHwjHgFWYeOaYmNgJ/Wt1U5IlT/gksGrUceS5LsW5ye+4mIe8njBjkhwu6bnBVoKmKoYSQBfdVEdtXfJNXnbk3+zyyibIE16Z8H7lFrtNfEJLK/KgLJ4VUGeWqMCwJWIuo5JucXC3zVGkB70MnsFqXjBX/uoRscHrn+SNJiI7IXwlbL0rDLf/mSJxnhwnHOmPtqU2qEraElLZp4o2mIiT1tPf3FgomgMKmq5b3Wfy+ugtXUta3YBruqTir8yRPVx+UYafHuBFO02pMQQITcOZ5EkJ23kSHseQGgxnGrHDASBzquFnO7IifM6vKjT/mVXKbMfBFMHf6LMRq+FLxHaGOZEAXnVLz7aEsLMDNBxpIAd/frkzg5lRhDmF9DXpHYoSc86n2+ZcUXEP+fKNwimBXJnD4FGVE7Pt7I3KEYv6qM0vRCf1gcjvFqdjUxSJ5SUXGV8DpN8w5xsguaib03OHEA/TedhPx3EJBfOaZ+m5CZ2XyqrVOcmNTxPytIidJNjhuLYZgX4Mg2cYsK7ATJr67regASv0Uq/Kr8YSe2cetQKeOxzEu42dM/ZJsGxlTLe8GiBPpzC6yqFpe49RidnSN424SyeZ8u0sj+FTnN5bGZ2CCFEhcoHljsaXSCPSv/DM2rHuGAZG74a/ohW6CfEgSMkJfERNjTSsKYpoC6p+KRZ/Qy0Ita6pX7e/xyxMySPStN9+QtiIWP1mj66lKotOGXt8yCyYAj8Sd4ConL4bQc2XO0dC5JYRQ9MOEs10RHrdcZgvHffMI3md/h7DeM3mrJfSELDYiDlfPpp/CMxWDPT5wR305ByF15Fftwi3UlndQTJEjZuAX9RzNp8BCWQcpLTYCHq5KZk4qCzhvanKEKBYp2zBz0pGNihyfDdwgFnEgPljUB0qmWjyhy9elCKSj75+b7YDEUckyXWRBCUAZG03dl8UmqxidvPQaR7wMako/JftgNXbw+swRCmUgkreXL2L/lu8wdzORuxUIqLwFEjmh3TV/A65Yu8FnKnfbBTxG+ICpqBxRZLfMEbw/RSpFqbPRVQ+O9v6upH6THY6hw9cA3lE4xJ/qEWbJnc723oZH8RM40xr20ZPQGzBucibKmyzI108gofZFm2rWWbU3Nkkc5DbazHsj8GJtPCtEIJg+qgYL4m6bAhvJjWkDCD03/l+pnoDydf9Fbi7UPv8y8HJBgdQqp/EiC69U5lbedOwXXVKU8oS+iICTgsvmambDOfHvbTjIniZrJvSSxHnoN+EsuobHYblgNM2Pp0fyG0O2y2ipE9u84udvdfrw3OHHejbuxzmnA3A54IQTBtzsm4LQM7UpzDmGkN0JuPH4NT6o2xuTRZlD6TXJ6XiZmLftW41tp+8S06+P0aLfeEwdUGSmasqcDEqL6NFXmvEJzvDKbOzmcHk389zgygi94bEFDKqjGT+yYELPD2QiE6r5GS7KZlTle30WawMJmOkJPX/KbiBZEk/odcnZcYQl9sQxYtNbDf/J2IT1iZ+peP6rI/SCHaJ6KU+hveVOvtVhzwz4/tsg1bDB4upZQ24B5dPVoiSg/jZB2JSo4qFC6IUyWffEJEfFUKCSjGhEp1sXnXoa2J+EPswsqnWImconSsSdIybxZN3S4WOhT98nmSbOqIke61uJUGLiKZ0lE3p+Q5k7SMmBlSdDNeXVlPTESXWOkpJTwMbovFKVzD0O74PPJiaQT2ywNFNTsCl+c3pFFxFTJNOKsnjqZ059+zuTChfxOR7HY27if3Uf49gicqqnMgb1JPQGjBttilecU3YE7PlTdeZUuFPEK1SMIOokwkk7c7swqzqO8hKiwqGRdc9JUBy6EmREE3t7a7kDFL0JveBfUYP4/jijtYJVxW0kbj2JB3IbFJ3OylrIrzC31rBzhrNiRriduBUnH+gya1Mk9JwMLdkMkTjS3Ik/2RgMm4h3twkbTi0mN3y3Kyy4jIuxJ3AstQDV/pOBTesT8ZmyYplYQm/A/M0Vgzc78vkV73b0RUqifMAi8czKVIRefI7l9E1yaxu0MR/ffDeGjenA4r6wCaILIuFUzcSYUEJvYkB1JKfzhL4eOaG/SU7oRfjfKWSlz2JtIAEri4Q+P2kFJo5YiEs28xC+eiZ6Na+BWxo0rdWRBu2YCIRe7upaHfaCZ7pWQi+/4y4GQq+jTOr6nr5xDYQ0uDFRWeXEj/udKE/oUEESbpxE3U4Jp2PPfHH+HjGREjH8LfmEXiA9yqex3O/5iifhIuaI7BVtENw8VXP8Bk0KEsSPJCRoFzJrD8XC775RrwEtJYSpOjkF16Keo9gc+p/QK59oqiWUxF/lwHdOGLv9LUZs2o4fXDqgYRWezBlL6A0YN1olbAXM7BnzGXdcdetEFL8Oovp0Iiv6jLs1ep9ILs756IBM3lM46BAV/VNvQq9mTtMyhowh9MavN0qEnpRTMJ0ZupfIobbdgwGrvsQBmdmQFkJP+veKiSOw8JIN5oWvxsxeJCL6LS4wk0r7mZ3QM5z+LLwbdEPwc3sEyfsziZjPhFcoodcDLFO9KiW3ZDbdkDDmDBL8eZNMU6XNpEMJvSnR1J2WcF2m7BArfNlyaSYuCvamupMreoO3N/5dkx2xfFoWQ+jNb0OvdUEhjk5t7LxxtYVgj8iBJP/NzM8e4s8KVqhFnFTVEXrherueWrMQ/or7dzm5NHXYC/r9yqesbGn46+Uj1nK2n8VA6IVyqjG5UemWBvYnHm2iFd0cPsRxWZG489jVFGHqwtuGVxPjiMW/e0XhGj8fGal/wqaNoHwkX0M9bejVjdnHezCqAzlJ02c88+/2/m8mtgzRbEPPkTflSI98n4mXN9MiCerEiTlBH4gX6zVrj7PSoTM/1CD/p6OCxFSgJjEVaCU/RxFynZr9Adrwvh8KKRhgQ6+b0EsQ5/4V2SgyG2T5aMPyhL4nCh6+xQes46vqCT0zD2iMcWHAuNEek0Lw6amPoMzFuDbxBnxS5+IDph0875E5IQaVPRegfkKRWZMwT6ma3KhpH7GEnqlX0Fe4sqsvJycaoboBV9f6+hP6IhLel7+dqKzWnFHMYFIl9IyiDWMiyWjSn2m/Bbu+/lku2JQmQp+N4DZ28L7aQpE8823Ntt/Mz/DwzwqwYhYKFUyVy2H4/M3VmnFw7oUD3WcBPhPk7OnFYFL0DiX0+uFl9NuMs3wfZ1wcFY1NHmaKOk1t6I1uJj0TEK7L0sjFmeJTq/cGHD84Fa1VQoqJyUK8gkXx2dATUxbZwqiuDvopiCinYKzJjSa7W84kgyygRIO5f2zR4q32Wl9CFgFrcurYTMkBjSmsQB7JqV8usXFkb6fVkl9+gr8nXAXL11SNHb5wymzAla2mBVbVCU5bmYgj0rzxyPPYA3dGD14joWeUNP5EBSui4qOxC/NmGKeVtJD5NO+JWsw5e/E0tVrWnFrJ68q1YVWjIvEz5Mx7+siTf8ZpdpsDklSiKzOF5pxLVzmq85FQXympRIK/a9TQUmcx41ncO/J9da6gySyc6io4UzLpacOJ/Jk9FJiETzTqN3N9Ykt/eedbbeUk4//eUxAZJ3ZDzJ2OvlW4NWDaw+npKiQqSwmy0AeiectVcBShJy3e5IYnbcqh0QUVFPaEHnBrRYgzG0hKdWOZTdSXQu0TNWhc6z9udAWZE5wvazZtihrj9iOVaWjeXj176FAyr7ggQT44nzB2eCEAhcte4jA7b3wePPa4c5G8NRB6zk6+ZpHZIUnTMdQeicRPiI0iTMyAmqmTgMwLx7ehDbE/iBMA10noVUzDGE34UNgnkgjB2uZW4pwf/m0oGu4PgmapcTWEXnDqT66FWh298HOyvLyyBkIvzG/KBy78BrU+Q+j7x/IbnsEQAiwWmbvJ1YlDhTvEMGD+5sxtiPoXMRxKJCpsjJoVo0bF2NPrq5BHCb24OdYkbzFKeJ6h+GzxOnjYvsLOUSvwceh69DebyQ1VuTFJu4lLhNcb/3ELdmY+RlXrPnCbNR2TmGs8fU1tZBmK1ZgmH/ATkURPp1hBsUD9abRyzQW1hwIiS88oWqhRpddX41shCylRl6kEJsqxevt17mWVhUkuDfa00fM0FJSFmEXkq+HYV1AZHoRITE7TQehJepzE33E4J9wmpz0CdS0k9sYt0XlHRzkpPHaFY69plc1TWLWAtgtRbXUWfp76Ja8cQfrJdhc0mvKIqGjKyUSqIRnK6GsiOFwbQsXOWZ2qhVAmBQlPklFhxmJ0W2yNY8Rml3V+1FCnPIJvM4IvtERoZD5ngx1N+6johJ6XwPNJY9YpMTEK+E3BJ2p06M/Nxidd16CAdXbsj1PDrOF+qBAugvM4k5fj96geQRwK1UXz4/soKZwoGTbhBu7Ppj8i+bqf7lgM4iYMjW9xZO8YpsikHTl5wiERBWrGhRacmBz4eeH1oHDc2jdeyWyGyOMFdkOXQ98iRZDp01H2+8SuvjGxq/+AcRoMrAC/r7th9a9NioIVMYodvU5hXCohb2rmPe72C7pNrmTEMVMm8ycUTbW/8xtkmR019yZjamS3kByysJugT+EnI/S8Y2qcC68WxMyzTijcoDkStuhxo87PQS2mfJlVHGEZ1RZ1Y4Q/NFrIqO/KzxuMxGE3LLY+Rvoy57asidBzG984Mk648ce0hVPhBl5Fiu9jCjKfJC2iMLJv7FBkfpeEpe25BtU2/7Iv8IIAcS6H8YIcelRkxptTITbwwcSEubWvwm0KmRf3jcXQzO+QJFN1UgMcazM/EVWP3CSSmkUdTLhVVV03+M3bfSU/NmGz5yB/aCMh0H2F4fsKUNmDbPYnpxUReh11Iqhwzslabh/Vz9/E+XO7K7osaoojMnNBXiHNLwfdQ67iZy91t4zqB6ogDkB6EA6TXSzZitDHHAiw0qvDEfn2U3xcmcngNf541wtnxcTq0bc8gg8P1aHXFznLe58lRkFdNdgG30dswBLE5OTi5JFE3C4k5a9YnQTHcGEl0oQAFupqlRbmgS1HM7AvPp2TrxO+G0h+Z6JeaHiyiR2vnfevsFt/EcnT1IR0YwnEXazTZSMtlz5blkvAq9yTOJJ4m4Ss0VCP+7EImLYIa/gyV7TqjGH9emL0goUg8VO4R8mWdmqTHGz54QharVyA19O7YP7T1nBoOhTBxM7y8II12MHjVrE6CT7l0hoD+aAfbECos2sxfdI+VHCfhm8JMby2IxB73nNH+Oa5nG4xGPx9sGbHESQy4KvBsDBnH+aM+QHZXb/DjA6f4PdTyxGY2gZr9/4XToxeNpNKbACmLVqD+PQXJNeKsOo8DP16jsaChf25aJpsvX/EhlMXUMBmw5TVEwsW1EGcMh4e5Iyo32MsWbJZ1rZVPnfEoHHeCOLT48rkjdSmM+AzwgaFqTsQlt0N63YwN0nKdbJC52Ee8AniMJaQyeWr/rtRwfMgrm5SDgYl16i8bvdOhxhsH3oP4Yvj8PBVPA4l24t2XGUXwA39Vfs+Y1bVNRTdtu1G1zP+2NxkHmb+5o7Rt2Yj3r8OYgKI7cXszZolxNg+eg3LxEaKPTcPdXsH4bndelxMnkZOeM39EHLlbodJBYu4+gQS0vHXA+yOfaRWh1kjTqSYDPntmbMY+x22Y9LWGnD38cKgdlbAw1PY6rMMRz+ajejIyZzmtoiHbX+PJ/hxlx/+3uKDnImBaLVqGNa13Mu285YfEuGwOYzTglfzsLcP15ZpjxTL9Hcf5bGppb+Tfl1B3m9mOaExMQEIfumFkC5R6Dn8COo5tECrGXuwaTBPem8TKcbO45DmuAbLW5zD8iceSCYxJLTBoHvcTMOiNSSAHDOhVmTGTT/0HM0Fd1L3sLcbJ2cVScWSl1jS7fUpjspLOso+ZpQ/5mCMdyqazvDBCJtCpO4IQ3a3ddhBYjFUQRrCPJZg8z6+DESOdNDcZdggzCO4TWQhO2NcmiPWLG+Bc8ufwCN5ddHGi5D3s2vJIVTYUwz8zgeODe7i+LI9qOAXycYbqChm/uXLejtyBDqPS4PjmuVocW45nngkkzgfMo1Kfm4Nw9OB38HHsQHuHl+GPRX8EBmowVeDmWt9xmFWaDJusvhWR2OHyQjeEcTN/QzhrrcFfbLIpozdxDNYbMHRjH38vErUWZl5sGdXfr2Q4uaB7+A0djvejtiE7VObIGfLDzjSaiUWvJ6OLvOforVDUwwNjpTJ3mqqk6j5W74/M+uW/xp4/+WDcUsuIpuZ1Enr9d/xK46NJZW5vxNDW0wmm012YUZ1uz7wXrxBYz9S6FuyqKLK5o4iBjd9RTwChQW49/QvxfeFGDbiUxH3Jo0UKw6nUvEWq6UchK4iArFYQn2YBbvfg414LH9dXBIFEwacroAxIspWWHAPzNh9nzczEPGJyitCcJf/VOPMRCzhMUW9tNdDCOTDBNrKRaCOEyyVtNi+H4ye8hrTwkt8wBcSGUeGJ1cfxWA56srHnjCe9VEgUpbQHsplKKpPZcS61ISrsv288IEWnG6nnMPfdly0XE4B5jIesutQTVh3bYevGbsZfR9+bBWNB/l21maKxZ1invVRE9lT3zKofV8oh9ixypkP/aXnHGGycUNwfPj2A8X5gOnXgt22Rkz4cgsB7PTETuc4EYIp6YmLSjH4fqJ5zhPaS/eY1bOKerwuYCmyDDrrpEfW5ni1DJI/c8BUqtKUtamBaokWWFkLlq00N1rc9bDXp0cVAn6YO1eD0mevQ4cDUY/lnJIMSol+VNYQUOu4qquSXN+f2/QM7pFreJM8fB99tT2XmB0UR9RDU5SaN89opRo/gEvdDDiZothKabCmRMNfYXsuMQUoLdCbAQeaJEXAbAjIHCjLjr212bAqJQkLZsRlyYyqHBN60uuYKH62cZiQGwPBTNIS+yJjX20bNRxZxFZSnemyJZaZlql4EBBsXIdHv0Gkkx43FIx5TbszmGmivl8q+yhvl/0BUcu6RtSy1D4mxsn0vYIJlmWLqOFZxGabzg6mx5emSBEgCAi+AeT/ipI4LTWgSREddRTP/3qFd5XKXLVqVTiT+All9ZE5OtssReY1Ep+gDFS0fBN6PuhEz4x5uCqEure0Rs0nahp2P2FIOpFa481ULa2ItDzFj4D05jkcJUGJjv/gjW03KmNQ4Ba4OrTEwC5iHb04Z8B+135AugGRExVqzPTRFsvR7nQqZv1/9s48IKqq7+Pf58nC9UlMM/cKFwrFDU3FFRcKTFBwwVBTzH1JSEhwQU1KUkwN96WEBBRUTEhQcAm0FAwQFBdwQfOZLMdSzCmft/fcDWaGGWZhBgf5zX/iveee8znnnvs95/wW8xvCVxy27BwSvs/B2a3+WJrMHGJnsPjqLvbo49pFzNqq/AgTcqp4zcuUIIsbgw6fvYVjZ+dVgg+CGRpARRKBKkFAiuoDGLx5YsHt4wITvDTpBt4e0ADqQWQaNmyIzz//3IJrX7GqleQ50ifcdMUeVWl3V3NBz3GW4cicwQhuHsmHtjJgj9P8ncRHFZkObEyFv77edeavFT3BAghIvgMqVTHYeYhzEu2J0LYHjB/7/Bj1xq3gI1g3uIqsODU5XpVr12wCTmYYM1yEGCfvWwg+sg5VBb0ZMFCRRKASCJRmri8vUlwlVMR0j+ATN3njn8g8hIiRlkxXuKWXVBr5jwtj+g/b1HoWfiTo+V5kyXISclGz70C8aepYpxUYJQ8upODsv3vAydYIB7sKPJdurU4EKjb2q88YrRgn04+oB7iQchb/7uEEmh5MT5dKJAKqBEoFoJVPAh5vc6nygHgzyWMzIWPWCXWSffHqkgIM6cA2ZR4W4GrtGdi6zQM2Vb6V2hrwDC7QWFNJ0D+zA5YaRgSIABEgAkSACJiCgJAnoAh4Fkw0+ERkn+OtjDTweepYxJdOyU5YOKAuajVzQP+er1ZKsj9T9ItxZUgmVFbwSXiMZ2B9xmMgQW/caKC7iAARIAJEgAgQgWpCoCS5lHrm5CrXfgVLYmaHaXX24UcWDIA3M2aCfsSjUGx2/At/WVAIaLOhvcSCQtj6sqwKDgjLZ75f7cz2pEotmAR9peKmhxEBIkAEiAARIAJVjkBJ6MoBeifxK9vG0pwOZs+dIiY0m3mkL3Yfmlea5I5rR5/r+Fw5yRoT9M1Xt8bGLaNQe4cP5v3ujwOb3Z5qVL3iu7fx13+awSzpZaQssdazkXKPZd+ucoNRc4VJ0D8jHUnNIAJEgAgQASJABMxFQMxbITfSTIMFENg8zBv7Bq7B2mG1kRr4Hr7pwwISzDNPMA7FlbM4d/c45jt+ivpfZ+DQeM62RoZINxsW4vgq+/crmkHxIToXoc3hK9js/KK5YGou99opxGZm4XzMDqyNfYLA3Cz4myFyGpfpu2NQHjAsAvfivfGspO8gQV+5w5WeRgSIABEgAkSACFQ5AnImhllm6YOAMZFu+LjnBz8ozaTNC+fP0VdTxm6TsVEgdU4LDGQ70qfzQtA5fQ5a+L6Coz+yuOslIf2SMb3uCDyMvI0Idybg5ZFwazAZNffKEONZyYKei0D2qDZa/hKOTu13Y6xZBH1pPw7YdJPl72hhMtpPuyAS9E+7B+j5RIAIEAEiQASIgMUTKMkuavDOrhhVxV45RCILG9myJyLGnTZdxm5NBGVMoLeagd9WR2DYVj/c36QeppIlpxs6A/8LjceMN63A57aY+yJ2Zm2Ga8On1CW8eZO5BH0iJtd0xXZFCwSevglTJUt/SqRUHkuC3hJ6gepABIgAESACRIAIWDYByY7eahwO/L4LbnonrhGiquSszEVWiQ2JKPJbmd/sIzO4NRyWFsBqdCx+48JUqlMuzsehLTE4+0CBP/50BKZZAAAgAElEQVTXCVP9Rz3dcLjmFPRihvCiZ8x+nutSEvSWPX1Q7YgAESACRIAIEAGLICDFL7fG7JR7WKe3N2U5gh4rkZvlb95Mz/JEzO6zFZ0P7sckzpTe0n9mFPS86VNANqxnp+Ce/h1o6cT4+pGgrxLdRJUkAkSACBABIkAEnjYB4wRhOYL++TDkn50HbZET86J8sfbYQx3NbocxK/3gJHp3zps3D1lZWRVC9corryAqKqpCZchTVyMg+pKOMupiwNwweCk7v5pN0JcuyKYn38GGwXofsVSIQ2XdTIK+skjTc4gAESACRIAIEIGqTaAwHL1tZiHdoHj0QoScLSOUs8zmIKR9RwR1UbarNw0aTszfv3+/QoXVrFkTPXr0qFAZRt9sLkFvVN8Z3YpKv5EEfaUjpwcSASJABIgAESACVZOAFCXFGvrv8soRPaIJvP63rTRMoiIOY2p64s+Ie4j3flYCJ5qoR80k6AvDe8NmVjpslmTganBXE1XWcoohQW85fUE1IQJEgAgQASJABCycgOLIDDQZshGPhkfhzr4xesUxV+SEonevw3j/3HeY2ZZFk4l0QyvfVkgsYomNKs3yQ4YjH0/Alppj4Fr7O3y57h6GRkciuHdjCyJejLvf+KCFdzK84y5h7YhGZZ14japtJoJbO2DpLZYY7EIqplYFXwID20mC3kBgdDkRIAJEgAgQASJQnQmIttj5honD4vxDCI9MxqU7j/Cf5kMqP5oMlyF1zss4zmLS92CLCD76zWf9kfB4G1wsoTvlOUhKuYwHKnWph7YDnWFfwUMMaRHGjlVwZ8NgVNoaqhK5kqCvRNj0KCJABIgAESACRKDqE5DHj4eNewQaBJ5GHgtmXiUEouwIVm6Q4Z0PvXmBzDv4LrZF7N1oeNSr+n2ivQUs1r7Tm5h2qtczuzvPtZ0E/bM8hqltRIAIEAEiQASIgBkISLv0wxBxIx7elmS1ok9rFSyxlV1/JHsfR3JwD73MhvQp1hKvUaSyDLkD1+M/VWnxZQRIEvRGQKNbiAARIAJEgAgQgepNQMGSFNn1DMEfLKZ5EYtpXiV26bkuU+RgjbMnfhwbi41T7J9pMc/OIRDaqT0CfmbJwM6zZGBVbeFlwCtGgt4AWHQpESACRIAIEAEiQAQEAgqkzmmBgeubYkX2jwi0rwKSXpaG4Gmb0XTpOkyxf4ivx4ai4eb1cH1GTW4KNzvhzWlZcI+9iGiPZ1jNs9FIgp7mJSJABIgAESACRIAIGEOA7XaHvNURy55fiTNp/rBoTS+Lx+SuoxH91ytoWJtr7CP8WmMGTlwNxrMXxJE1TxYJt1bjcHrUAZzf5YZnW86ToDfm9aV7iAARIAJEgAgQASIg7NNzISm7LwaWnUGav73lmt4U38XN3/5U7bVaL6FlozrPYE/KEOnWCuNOeyPhEoviU8EoOVUBEO3QV4VeojoSASJABIgAESACFktAxqLedHA/jGEJl7CtOqhHi+0JfomFnNDeENZYafC36GMT04EkQW86llQSESACRIAIEAEiUC0JMBG5xgm9Pn0De6rJjrCldvOD5OmwGZaBD44ewgqLSpplXmIk6M3Ll0onAkSACBABIkAEiAARIAJmJUCC3qx4qXAiQASIABEgAkSACBABImBeAiTozcuXSicCRIAIEAEiQASIABEgAmYlQILerHipcCJABIgAESACRIAIEAEiYF4CJOjNy5dKJwJEgAgQASJABIgAESACZiVAgt6seKlwIkAEiAARIAJEgAgQASJgXgIk6M3Ll0onAkSACBABIkAEiAARIAJmJUCC3qx4qXAiQASIABEgAkSACBABImBeAiTozcuXSicCRIAIEAEiQASIABEgAmYlQILerHipcCJABIgAESACRIAIEAEiYF4CJOjNy5dKJwJEgAgQASJABIgAESACZiVAgt6seKlwIkAEiEAlEZClIXxlFOqMC8f7nSvpmeZ6zJ0kfLrkFNrOD4RHGytzPYXKJQJEgAg8MwRI0D8zXUkNIQJEoNoSkB3BnH7vIrp7DM7vckPjKg9CgVtxH6DL9IcIS4+CN4n6Kt+j1AAiQATMS4AEvXn5UulEgAgQAfMSUOQgtHd3LMYynEnzh70ZN7QV8lykp+TjHmtRA9uBcGxvDfM9ToGc0N7ovuoNxJzfBbeqv0ox7zig0okAEajWBEjQV+vup8YTASJQtQko8EOQHXpudEDsxWh4mFH0KnLWwMnlON4/uhsftLiLPdN74/P2iUjztzefqJcWK0234Ua89zNw8lC1RxvVnggQAcslQILecvuGakYEiAARKJeAInUOWgzcgp4RNxDvbUY1jyLscG6DYIfjuLmih1CnH4LQsucJBBSkYebr5usoRU4I3uq4DA02XUDqVDM+yHxNoJKJABEgAmYnQILe7IjpAUSACBABcxDIRHBrByytuxK5Wf6wM8cjpDLlkXBrMA4/h+Xj7Lx2wl8VcRhT0xO/bLrJhHYLMz5dgSMzmmDIjj6IuBEPs65bzNgKKpoIEAEiYE4CJOjNSZfKJgJEgAiYiYAs0g2txn2PScl3sGGw+SzZ+ernhaJT+wDYH/gHzOdW/MVj/L/ccWh2Cu6tczJTK8ViC8PR22YW/ht4GnnshMDMrTVvW6h0IkAEiIAZCJCgNwNUKpIIEAEiYF4C4u48liDjajC6mvdh5Qr6iHEH8E+pyjdTTeSIHtEEXokuiLqzD2OszfQYKpYIEAEiUEUJkKCvoh1H1SYCRKD6ElAcmYEmQzai5cpcZPmb1dhGgPy0d+hZFaQ2v/llAdLMabRffYcVtZwIEIEqTIAEPeu84nOhcPUF1iWZN+Sb0eNEkQo/xy3oHPU1xWM2GiLdSASeFQKiTfnGlliZm4XK0PMQbehvKC8gNNnVmxOxgpn4vOiOCIcvUZA2E+Qea07YVDYRIAJVjQAJ+rw16Ob8ExZmlhPnWCHH3Ue10cjaAMvNjG2YsuVMOeOhCToN6Yee/d5C50Z1dI8bGXNK65qMSeXVU0MpRQnLsDz+Vpn/6T5lCyY7qP657LXN4bZoMVzN6e+mu+X8FRnbpoDD+bDgFE51DMP1sCF63Vksl6OGtYGxsosSsGx5PG49LMCpU1aYlZSIaaIfoF4PrVYXZWAbG0tnIMP55Gz03HIdenZNtaJk2samYk6DgVhfNxCnb66AGHPGtI8oU1ohwnvbYFEXJXt5PspNAmZV1qICCsSNqQnPmAHYdDMVZvXDNTNNKp4IEAEiYGoC1VvQ8zGOXZC7MJM5emkK+aaAPDce8z3HI7L3Pjze5mIQf4X8Nq4l+qGXdwzk1j6Iu7QWIxoBd2/+hj/xG3J2LMK0z47jhXdWIjZyJrro0PWcE5zNDhfkpE41YHeqmD2vCMn+veAdIwc6BiP94ES0eakl1NcRXH0vHJgN50mJaOCzC1GLHfFq42YwZB1jECBDLmaLqtuZ6+DqGIxsPW12M1e8CceFF/EfnwRcYn2nv9kt6/fbF7B9dBfMT+9YebughvCwoGuL795E2qe98faaIoxTcZq0oEoaWRXunZCxxXzjZgYuCo18nl638UI6BA8rwxlVqUKKnFD07nUYE3/6DjNasjj0E7rA1/ornN9oyLulVwu1XlS02Qktpx3DsIh7LEyn/m90xZ5KdxMBIkAELJ9AtRb0hezj8GaEBy6UOb49iZD+i5Fw/wkadn0BP+04hiI9RWSZLhdtT7M7ag4tJ4sbgzc8Y/DIYaUeWR45RzhH/BRsRMzpzGC0dliKAuvpSL6zAVqDYhRthtOAmwjJYzt/BhxIVM5QF6Jq6OuEV7jDGfY+J1DfNxEFq50MjoyRF9oJLLAHCXp9Ojd+PP7lHqG/oOfei5XtkGV2Z0p9Kq/tmiJsdmqJabm+OPHLavStSFEmvPfSmm6w9c14KqJWyBR7EhmFtWE3YBAGdWtu8HtVIRTiYuYXtkg3dIOlQs+lm4kAESACFk6g+gp6xRHMaPIu/rvhDvaVFzJBEuRmEvRAIibXdMV2hRUTQ7+zk4LyVXRheG/YrBlkRGSLPIR2ao+A7PKfw5U/onhz5TjaGfxyGCboDS5e7QYS9AYQNFDQK9hCtma8VyVERzGgDeqXijbiSezd/50tPCxlfZs4uSZct7+MwNM3IeV4qkArq9atYp8c1LJBUrUaQ7UlAkSACJiOQLUV9AomQF50/x3b7rFEJeWd3Jpd0EtCm1nD6BOxgttBb7kA7VPuwdDQz/xiYFY6rIZH4c6+MRpMULgTgLlolGzezI/GD18S9MazM/OdBgl6MQRh3RjLFvSJk1HTdTt6mT1xkiF9I80X1dWOXPQfkI/DgX+Y35Mh6OhaIkAEiMAzTKDKCHrOTve3P7meqIWXWjaCHm6k5XZb6pwGGHh6EfLPzkO5/o5mF/TSB0q/HXogByHtO2KT2+nSFOz6DlBpdwvDEKFpIcOZ5cxthGQNESQ4/pfPn2G+AN3Roa26/T1np8/8Ap6rx9saMwN0yB4A9ZTt7zkb+Gv5yMq9jVo2PdG57T+4euFP2Hdro7rzWXLdn2jaszPeVLFdVhP0xXdxkxsU4nPL7KByZbGK/E/L//M+DvlZKIANOtm+hmZqzgIqO/StxbLwnGq7SthzdvcyPPif+v+LbMqMW+l6aTxL12krX3yQepuLr+P08Qzc/rMB2r/jBFv+xeDKvob8rFzcrmWDnp3b4p+rF/CnfTe0MXabmXvu5fM4I7dG9w5t0VLdAUNvQa/ArbgP0MUzAnd1nnoxJvk5OMOPmX54q7OG917q41ov8XUS5gnTzBE/BLVEz5AGFmZyJZ3oWZKgFfx0rqashe/qWghOD4Pzi/pOSoZeJy1oyLfFUHJ0PREgAs82AYsX9Ipb3yHQZSTCzheX9IRVsz4I2LkXSwdrcmTVp8MEUbyshx52mGYW9FJsZf1s6IW2xY//F9wvhulejJRBIe6M7lfAUUMs59Q5L+PLXpdUTZBkaQj1GY9NdRchLnQgW0+swRTvFPTdewSrOf4sms/YgBAcTL2G4o4rEDvhGDb97AzblGXY+txSZLIFU2t2j5P793jvmxCMtG2Mv64fwMcesxH5n8VKKesVuBL3ITx8jqH7ligs7lELt1O2YmEk8PHu1RC6WhT0Hefjy7dzcLzmLASOqYXvZoxEyK8Tsf+IdB3AReyZtSQMSZm/Q6F+PK+4grgPPTA9ZwSitk9CM/khBI4MwV+LEhE31b5kgSEI+icYPfsN3P+jG2bNHYaXrkYjOGAXXmbXbppoKywsuYhGy9dh98HzKIaS0FBmAyUBpnL9OOz4vh0S1/6NCYFjUOu7GRgZ8ism7hf5lvShDEf8XPHekU748uuZqL1rCsbs/Qe2nZyxcm1/JPYbgh8+LkD6Bw+xxskd37/3DUJG2qLxX9dx4GMPzI78DxazaCRe15chYOUW7Pv+NpP9VmjWZwSCw3YLEY8yPoN9/wXgXrU6rznh0z0pmO0gQ1qoD8ZvqotFcaEYyBaUa6Z4I6XvXhxZPRglb2AZQX8SHzcfgpW3FYDVi2jjOBVrvhqHxxu3I+nK94iNzYTcZhA+cHpNaGF3FsVIKeySLC0UPpP2oMUnW7GAHwurMHHeRYw5tA/BvYWnqvTxuB04UGcLYlu64Y+1C3B6qOQIXYSvh76B94/Wx7R957HRRYcjZUl0KjnOxcYik6Vs8vTswp9mNXdbhMVPO+STtCi3W4Hs3EDY6zPdmf0acTGa6odWE/+H3ff3wctsgl6c/yJaVE+TI7P3JT2ACBCBqkrAsgW9nO1GtWP25Xc14LVqh8XHs7HUKM9NQRjm6GPiYg5Bz++y/oYr3y7BTL8EvDDxa8R94aH37ikvNBc7IOHxNhgWd6c0OYvcUS2WM+dT0GIj+l5SysLIRwHqjgCr1Spxn3nTHb8XsOkCCx3HB4MWnQezrGEzJgZ5G5piq6MjFj7/CdKPuyGNORYmTlKLSsGdBvjURnyWP7i0ODImCDu4H4JT7EVEe4gyUXYEc/q9iy3dY0QbZlHQMyE6LELJMTgnBO07BuHxkgxcDVbKmamIw5ianohREfQytiDqAPdDnirOwcLCKhbeKUXMlEnYxhYEfTY6rsjGj4GlQl/BnvdWx2V4fuUZpPlLf5dC6qnvHMoR6dYA4w6q76hK11uhzvBtKNjnLYpjYbEZ9Fg1A2gec4Ts6iuDX4ndtBBGcNbl2UgpWgfHR3I8YeE573FRQBIn4V68t5JJFWdK5YPa8VLMcmlh54AvC1TNqzjb9hfDB+ACH0lJgZzQ3ugeYIXVytcVhqO3jR9e2HQBqcIA4FSWmlOsgrFpgxHZs7B3+1z0a650NKDjnVKkzkGLgdEYo9QX3CP4v7scxYzjPyG45L0XT7hYa12XZ+DQ2HxM7zAWScN3I3M9F32lkDm2volpx2rA9auLODRBzxisBtvPy5GTlILL7GTK4N/LHfFuX7WTKm2F6HCyN/jZpryBHwMPK0nQQ38HbFO2kcoiAkSACFgoAYsW9JnBreGwtEArOqse65B1ejZsDYV7icWet/WFTexjJh512CCYStC38MK6sBFoolzXWs3QuVcX2BgYF1KIctFUs9mMLha8M/AQbJTbYEnGVUj6Vx49Au1OTkfRhsElO9RFLEpMG59kOKuHiBP5/a20IOJPDTTump2E38v9EPH2AZxnjoWlZypsseZ4iYWFZCZPLHHWnBYsrnZNtbjaJ/3wcr8w/FFi8y8Keismjn9n9rNS10nCvYwJh7SjrxRhSCyzZqC6yZJgyhA5qtQBUrtTrCjSk5gdc8miRto5LGsKILApayIh/F3d1EoS+srXX8KabrbwzVAtIyekPToG/YzZSv4UJ/1eRr+It3HgvGpehcTJjrg0Px3zRPsy6WSogcoiiEtY1BvpPmeFcVG0A85tfJDsHKG2QBDr87cSVxVBX4xz4aPx4aWZ2P35O1DW8uJKCZ1Y+CDN4Ue5xYcDltbUtAP9A4Ja9kRIA+WIUZIJhhYzMv6BxZDLa8DakPfMYPt5LsRtOlLy7+l6A8v8f4P278BJsJXS/SNBL5xQRpCg1z1Y6AoiQASqEwELFvTiru+x8rpjuHG7QRrTmGt5jqkEvSmjMvDiKcdo215poWRdEsea27HthvP+V5WiZkg7y3YIOpGIKa8q82GZa1tNRKySgBY+sqMR+zgaqmskBX4IsmO2yAW8Gccwd2cMGdgHfZQXMmzntcHA9ZCPjsXjaI9yooloEOh8tbQ5y5a9XrCLLoLnzhtgkSyVftexxaUfVtQoFYvlRbmRdu8HKDlMCgwMFfT6XC+9C6p8NQl6BQvrZ8dilBfUeQ1Ow9zhPGQg+vTphS426nHUReF8j+3w31sHHoU8GiM8fsOqVCELp5zlPWgw7iDsgk4gUXUAINWvFSbGKi0wSgT9fzEupR/ezZqD/JMzoDJsJNrlvVNiWEJtYWLLMhYF/RPTmqBYpv08A0iCHrz/03o57dBXJ6VCbSUCREAnAQsW9JKgLKcNVqOwVxYDT0PtNau5oId6TPrbzIRiyF2svRrMLIZLVJcY5rIFvNaFYYTK0YJwTa3X+8C1i7Dnrm0XWriS2WGHf4T5S/fjh7uiL4RVM/jEZGIbl9BLFIPsC60j6knFBb20u+fovxcfdtMwtpTMH/QR9DZKO9zmE/QAnzNhWhYmJd/BBj6JgGhy87BsfgNZWjg+mr8U+3+4y/amuR+zlfeJQeY25RMSVgIf9egCpotlcv+eXCOKmdEIZinSoqWF1zqEaR4A6OPaRTh1EfuwUbOu6N7pXziacJ6d7GjJl1CeoNcxFsruzoqCHprzPOicATVeIJ5AFCgtdowryPR3kaAnQW/6UUUlEgEi8AwQsGBBLwmOdK2YrYZsx5WkSdDTKra0HD704zS8XJkmNybcoReyJdYzzuSGpyCKwXQrDI+6g+U3B2BqnX1ImynaQ/PXSLvCdliRnQtmQl7uT7ugl+HcSRle62vP23Tz2Wh/ikf4DF9sv95LMFnJF8IDKipB0Eu7e6P16Ht9BL1yqFFzCnqmvuHkshO//vUSRiz+AC+nLUNw1mB8k1DqCMwvnc6dhOy1vrAXYOP2hZ8QHz4Dvtuvs/CLSjbv/DDgbOFnIYM3aWqDtW+ugG16qQ+FlJXTjvkQ5OoeAOzUaI/g2zBSJvhenHdGxA0WFlbdd12DoM/Ytgwy58VwPV/+WJDMlHwSHkNI3GwGQW+w/TxXD+bUffJbZP9ixFfhGbGhL94zEnVH/4mv7x7C+IZGcNDzFjK50RMUXUYEiEC1ImDRgh6SU2YGi5Sh/mNOsUvT8sF8Q434PWWnWCNqrHxLRZxipXIkcwoM8IHPzXx01hB7Xtqh1Sh+WaSYk5k10LeXEKVEu6DnWO/AEPUwmaKYfP3AP9jVl5l6NPHC/pfVbOj5kjmhlIkafXvhtZIoN+q7sfqb3Aj5ByLQWqNIVV18lCfoheQ+zVX8EDQLemlhpM2GXh+TG4Dzm/Cx2oO0GU1ZSMpfgYbNoMkknKvDjiFqDsjSAu519RMQJefYA4PwVZIj0pR8KErMOzSaQin3Cz8AVM3A8pifSldfnO8Qxkc64hyfS36iD0aGislWJ1wKYE67TcWx0FqTCY3oMHxV2YfCDIK+jP08c6x1XoKGsRHwqKft5a2AoG/KIumI75HOqcEid+iv4RSLWvSzUuXrtR0IZ35VafofCXrTM6USiQARqPoELFvQc3y5sInTxmPZARYWkedthRe7jsS6Hdsw3t7YoNrCkfqCjnqErRQjqOTp3D3WMhgM/QCzyC5+7vOQ9c46xC520pD8SRTPtzbhJotEYvDpRImiF4UTF1VQW6IpMcpQZM8I3GBRU5Q3Wgs3O2M6NiJJjHJSvqB3R6F6mEzekXUebPioLSyaSshbzMHzIQtFl8f+rdSvski4ef2ONbxdd8VNbrgd3TXdusJX7ofTeSug/Cguikq3A+44yzJ2cTUQBP1NZglUwDL4KokTOauHjTsOD1V19NVod83Vv9U4HFRUXNB33D0cJ5L98FY5zp18PxSqRTBii6K4MTUxz6Zs7oKSsKlWb+Dj9AslTtLCMJEjcXI7uEb2LLvTXrgZztOBjUlcNBxJ0J9TOc0RzIROoYNKNCDuYjGWeomzLbfoCcIrqUKiICGij5xF9FEbC/y7tBjPh2Xi7DxpiaBL0LOxtXkMxn5VF0HbIuClsrLQ/M5K4Uqlkyk5E/j9Do8tGRdPddq3yLCVlUlEchrXFrbS8P6uzNrTs4gAESAC5iJg+YJearmYUOe5eo3LJAAyBk75iaXEpD8PbiMlZBwmRbBIOx1n4NudAbB/idmOv6SeWElDDfj63mJh26fA84sMJqk6Ysa3OxFg37zcxFgPWNjARp4xUFj5aAlLKexS7vBUC9FoMAQuokkTDNn4iAnW35lg1bw4UuRshoeLH2QT4rE3cCBerVOM/J0+8I4bgB1xU2H/5C7yc6IQ4DoXB1nknHExe/FJD+U2CiJ8T51eWHwyGYFdWDQPZgry4+oh8MhfiEwp8o3iFuJm9sB7B7tj48kITGRRP4qvpyDk/eVouC4JU5rIcPnHlZj47gZkWw/D2oSV8GDJoOo/uYacvYFwm7kfdxsNx46kLzCUJb6q/YglwlK6fkvKBni+Ke5qc4umwcMR0Xo9UrePRXum1W+d+BTefvcQlLBOjHkvCPqu6a74+N8X0GhRJGayuituncCno92wzXolErn2K2Pjd6UXAMvEcJbF+djp8xE25CcgI9saw9YmYKWXPWxrP2LMjmP99FHYIP3dwxav1X+Cazl7Eeg2E/vvNsLwHUn4YqiYxEnGOHZwR4RaCNc6jezw1rjFCF82ik8qxQv6PXXQa/FJJAd2YXHy2Vj+cTWGeORjYaZq5BthyIjOsa+oLwLEAcVOyTZ7uMBPNgHxjPPAV1m/5O+Ej3ccBuyIw1T7Jyyp0GUcmD0QUw7K0XH+UUTP7YLXmtXG3UOz0evdrcx4qxGGLAnHJ5OHoRsf8oY5Sgd3Rv/PXsHqnO8w+fFqvLPKDnFsLAjLJi7m/mCMjOmOLWlrMUp65qB5KJp8CPuCe/OLS958Kz1EHBMDsGLvBnizPAdccrPSbsnGijc7YeFFwCEsny0Eyk0jJyxj2GmDjfs5fMRMzfxqRWLCvJ8RGOev2tcGv2+musHIxFLyVKwOiMYlHdWoO2AuwsRVz61bt5hDdR9TVVxjOVFRUejRo4cBz9CVWMrw/jbg4XQpESACRMBiCVQdQW9qhHxklVx8epPZcJfZ5i4/pnTTrp7QeUJ+7RRiM5UPoaUGNEVXT858RNuPmX0kfI/7NlpC2fGmKmswSCnkpLFoFKkfo+scYF3mZxBDr2suignw3CNbsePgDSisW6G/+yi49HxVSKqksZ3KbcxD1JJM2Pk7QZG4G7Fn7uP//l0f3ZXLKHmqEPovam80su4ATTqNgdcEIfvptVMsyY8aTu5Yv+3DlDJ/5/qnyR316+uh7UBnwbac/xXj+uk92LkzA78+3xB2HiPh5dhexYxFnpOEi/Wc0aup0P7oE3ch/18j9Pcai2HdmmuMxqO4dRYHd0fh+N3n8ELtNzH2g7H41+HZ2HKmCToN6YCXOfOKJnfKjo16bTGw7UOkqDeSu77rE0ROdsbi4o/wTchQMK0s/B7dxo8HN2D5skhc7r6Jjx3/Z9QSZNr5w0mRiN2xZ3D///6N+t3dMcqlJ1uMae7ewvhF2F/PF35O2kwkuH45gq07DuKGwhqt+iuXV9bcAlxbnFugSC0uu6oZBlsYHgrHloNX8bDJIPj6CwsS5V/x9dNI3MMSWF19iLqtmcAf5YKeSo3g+idFPfA7/2zBX0P6Ka6cxLeXa6HHoG5lQ2hqRMLqticU688+gvWrQzFtcj897zP2TTTkPknQOiAs/2xJGFJDStD32idPnoAT9eb8vfLKK6hZs6YBj5Aya2vPlOWBsWIAACAASURBVGt4fxvweLqUCBABImChBKqvoBd3Jo/OK1BzBrXQnhKrxUcmifJSSfRk2TWm2lWUAO+cusBWJRGWcpmC2cwpfMwywfrrYVJS0frQ/U+XgOC/UVsl/8DTrVE5T2cnPMPtp+HA5dMaLzp27Bj69++vf/UlkyMHYzJl6/8YupIIEAEiUNUIVGNBzw72mXnLGwG2bAdQOVyjBXehgiXWsXNB0Wo1m24LrjJVreIE+ERia4bg9E1m86+pOD52ezLmmXnHtuItoRJMQUCKPqScA8EU5ZqjDM4fwu1KCM4yZ2uTuMiKeQp+8dHD/8kcDaIyiQARIAIWSqBaC3oufONmJ3vEjM4pTWFvoR3FVYtzMuybPrfU7tyC60pVMyEBZvM/p99wJA/Zi6NqmVc5m/5lw10R13M/TqwbrOK4bMIaUFGWREAStcxR/3fmd2BsaAC9m8R8QVK/ywWXA7eBTT+81bmRYG6n68c5hHdgieZ+YGEsX+dMs66hVvfWeAmPcPt8AawcXCGmsdBVUsn/C1myM1h4VPVITnoXQRcSASJABJ5JAtVc0LM+5ZwNu36C9olp8Dc6ao75x4YiJxRO059gfXIgOL9S+lUzApIfQ+RJXK7THt1bATfO5KK4bV94lGPTX80oVZPminbkdTWFeTUxAm5+HJ8On+3L0aNOFj4b0A9bHcomKSv7VAVLANUCvq8cxY8sh4EVF6Gq5gSkvlIfNerawGPpJoR4tDFwMSIlGxyATRp9n0zcdiqOCBABIlCFCJCg5zqLfbSme52FV/wn6Ks1zvRT7NUHJ7HQOx79tqgmEXqKNaJHEwEi8NQISBGqGqjkQTBLdfiY/IVYKwpo2c638cqk+oh9zHbeyzsa4EKMut1C2Nl1EHytmaAf8wRboz0MFPFKrVKwMl5kkZ4ctERkMgsAKpQIEAEiUDUIkKCvGv1EtSQCRIAIlBLIDEZrh6Vgih5Xg7uakUwx7rJQqY0acceC4kLi0PRSfw7OHOf4I9i5dlEy9+JMGXvg2MzziPaQslcwMd7pazTs2xYv/M3CVQ3wR4CbalQpXY2QksL12nSTmUganYFD12Po/4kAESACVZIACfoq2W1UaSJABKo3ATF85cMlyKgkp/7icyHo//ZRvH/0O8zkzBMLIjEn6GskxnwPh9jfmHgXbAG5OP4dP38L36XNVMoQzGzoTz5B176cmQ1z7m/ZH7lLr2LPRM3hX8v2rZjV+PgoHChg+RRM4mFbvUcQtZ4IEIFniwAJ+merP6k1RIAIVBMC8ugRaOJ1HKPUMxmbof2ytCCMX14Hi3YFovO/b+Ov/4hJ2lg24fjxNnDP+QjZPwbCnhPrdt74JzIPIUppmK/FL8FXT7wRKNrN8wnQ/orFY31NcMSM2w/NfiJhBnhUJBEgAkSgEgiQoK8EyPQIIkAEiIDpCYi79FiJ3Cx/pd1wUz5JgVtxMzE++R2sCerGQk9exBejUzDidCh6S48p3AynN+ei9pbrWPfnWAw5Ox/p295RibiUOqclAl4/hLMf2rO7hGzX+ydfYv9uq0dlxUXDoaG0O68HLbqECBCB6kmABH317HdqNREgAs8AAQULYWnXczXsIm4g3luyVzdhw85+im4jN4OZ0Zf+ui3F93snoNSKXYEfguzQcyNg08AWi5O5MJVqdWChVz+eshP1ho+Addpn2PHichwIeUevDLxmb6MJcVFRRIAIEIGnRYAE/dMiT88lAkSACFSYgAI5ob3R/TMbfHORRZ4xg6bXq4pczPlW43BjcbYYplKvu3RfxCfT64mNDrG4yMxznlbzdFeUriACRIAIPF0CJOifLn96OhEgAkSgggRkzI69A0Zf/Ahn0vzxtNJpFN9Vtq2vYJP424V2uR9+GwfOM0dYUvOmgEplEAEi8IwSIEH/jHYsNYsIEIFqRECRg9De3bHqjRicZ9ljq772FU8eVr2BGBLz1WggU1OJABEwlgAJemPJ0X1EgAgQAUsiwET9rgWb8X/jwvF+Z0uqmBF1uZOET5dkwWF5AAZX/dWJEQDoFiJABIiAYQRI0BvGi64mAkSACBABIkAEiAARIAIWRYAEvUV1B1WGCBABIkAEiAARIAJEgAgYRoAEvWG86GoiQASIABEgAkSACBABImBRBEjQW1R3UGWIABEgAkSACBABIkAEiIBhBEjQG8aLriYCRIAIEAEiQASIABEgAhZFgAS9RXUHVYYIEAEiQASIABEgAkSACBhGgAS9YbzoaiJABIgAESACRIAIEAEiYFEESNBbVHdQZYgAESACRIAIEAEiQASIgGEESNAbxouuJgJEgAgQASJABIgAESACFkWABL1FdQdVhggQASJABIgAESACRIAIGEaABL1hvOhqIkAEiAARIAJEgAhUCoHiuzfxG15Cy0Z1KuV5Ve8hxbh78z5qNG4Ga6uqV3tT1pgEvSlpUllEgAgQASJABIgAETABAVn8ZHR9LxtzTqXB376aq1WtPGWIn9wV72VPwOFDK9C7sQnAV9EiSNBX0Y6jahMBIkAEiAARIALPJgFZ/Hh0GH0RHxw9hBXVWaXq1b1M1I/vgNEXP8Sp44HoUk0PM0jQ6zVY6CIiQASIABEgAkSACJifgCInFL27r8IbMeexy60abzkbglqRg9De3bG43lpcSJ2K1w259xm5lgT9M9KR1AwiQASIABEgAkSgihOQxWN8B3ccfvsAzu9yQ3lyPtn3VSwpGIHhw3vh9UfnsS8uEbVnHsS2EU2MglB8biemfRSH+v1fw+1TDzBw4UrMNNfpgOIWvguZjLWFndDphVxcrD8Rq0I80KYilkWFm+H05lw8WHYGaf72qEhRRgF8yjeRoH/KHUCPJwJEgAgQASJABIgAIEPcmDfgmToCCZe2wcW6fCbx42tiQuorqF8DqGvjjOmLF2Fyv+bGCVleDEfA40IaZnLb27KdeLvVBjhnnsU8O1P3jQKpc1rA88k3uLNhMKuvggnwNhhxbxMubXOBjmaXW5nCzU54c1oupqQUYZ1T9ZL0JOhNPU6pPCJABIgAESACRIAIGEhAFjcGb3gmY0jsRUR76Da1iR/fCZcCsuBvAsH9Q1BL9EyYhdwsfwjFXcKabrZY3jMF99Y5GdgSHZfLI+HWYBxePPAPMykSr02cjJquhVh7MxVTW1TkcXkI7dQeAQ8DcTpvBXpUI01Pgr4i44buJQJEgAgQASJABIhARQkoUjGnxUCsb/slCtJm6mUDzgv6D49gTMM/2dOfQz2jQzcK4t23aQTuxXuX7JDHj/8X3HNWKon8ijZSWbwnw+/0TazoIf4tLxSd2gfAXlnkG/k4ReoctBi4Hk1X5iLLFKsdI+tR2beRoK9s4vQ8IkAEiAARIAJEgAgoEcgL7YT2ATcxPfkONgzWb1uZM7mZeW8Zvl41Bs1uf4lxEy5gcmIcphoc4lLc1bY/gH9KtszBIscwQR8xDgf+2QVpI90kncYi+PzLPQcrc5VOF0RBz/5oAhFeiPDeNpiVMRxRd/ZhTEVseEzS4MophAR95XCmpxABIkAEiAARIAJEoCwBOXOEtXFHRIMlyLgajK56MlLI7+JR7UZiQiU5It0aYNxv+u/wlz7mWRP0gOLIDDQZshENlmTgarC+RPUEb6GXkaC30I6hahEBIkAEiAARIALPPoHC8N6wmZUOxy8LkMZ7pOrxU8hxW/YItZXMbHg7+JDOiLgXD2+DdqVFQd9Kg8nNuRXIzg2EvR5V0vsSfof+OAI1mNzYxj5m/gP6nVCU/7xMBLd2wNJ705F8ZwP0PPTQuwmWeCEJekvsFaoTESACRIAIEAEiUA0IiMLzloHmIbwo3gOfhMdggWH4X+qcBhi4fghiH0fDUE2cOLkmXDOWlXGKXdAiCnf2jalQ5JkynXhpDbrZ+uKNMk6xx/FxxlWYakM9M7g1HJbewvCoO9hXDexuSNBXg+mCmkgEiAARIAJEgAhYIIHMYLR2WIqCYaq74zprWhiOt+fVx7b499Ccv1hYGGzon2BU6EfBkfQyVv73MCZyAXbk0RjRZAbqxhSwSDQGbffrrDpQiM1Ob2KFw1FcCe3Nh9nkxfeBKaZ1wBXt8rMHbMJNlmyqQsFz9GjV076EBP3T7gF6PhEgAkSACBABIlAtCQhmMkUYFnEP8QbZyShwJe4jzI5+CWNGv4rr36xC0itLsesLY5MzKZCzeQzGxrbGR1PtcP2rL5HR9wts9+9dbnIroztNdgR+7vPwy4hguNU5jM92PI8FUV/Ao0KZpdRr8wOCWvZESNEwI8yQjG7ZU7uRBP1TQ08PJgJEgAgQASJABKovAdF2PXsANlUg/nqxXI4a1tbGJZTSAN/U5ZXbv8wXQP7EGtZ1zDMKBDMkuRELJvPUx5ylkqA3J10qmwgQASJABIgAESACmggUseysLafhWAuWBOkmS4JElExOQMGSddX0jIHVuAP4nYXkNIW7rckraaICSdAzkMXnQuHqC6xL8ofB4VtN1BHaiincMRSTCj5GzAozHXuZuf5UvGUQkKWFY8MpG3jPfRv8iaYsDeEbTsHGey7e1njEKcOROSOxq99uRHgIFpqG/fKwY/hC3PTbhODeujMeGlb2U75acQVxIZH4w20GJnbR1Dbu6NoDgb8uRVRQV9R7ytXV+Xh5Kj723In2m7bB26TH3TqfTBcQgWpNQBKbGB2Lx9EeRohNBeS56UjJv8c4NoDtQEe0tza1ZL2GU7HXUKtnZ7zZzBpP7uYj58wN1OnlDPsKmtYXXz+N4xm38SdqoZlDf/R81Qzb9KIDbkY1WDSRoM9j3tbOP2FhJkucoE13sCOhu49qo5FeL0oREpYtR/wt7fNU3da9MLBPH/TqYiPGjy1vTlPgh6DOmP1iNNL87fV84eXISUrB5QcGzpVNu8Kz12sG3qT7cllaKKZN24+6w1rh/K6HmG5E4gvFlTh8OH4JLvfqi+cj0mD3zRGsHlwFhWJRApYtj8ctyHA+ORs9t1xH2BDdDCt2BctA2IBlIJTbYUV2LgJZ/DHpGNJuRTZyuT+o/JggDXXCdGxEqt5jTkMNFTkI6e2DGtvT4G9pK+UKAC3a7ISW045B20dYxqJPDI7zwBG2G1RlRqgsDmP6xcPrRDnzoAqz0nlOdj4Zf09IQuK0dhWgWh1vZWJM/gTW5rI1eGpIM7BtyhacKXm+DUYuD4Cu6Zqb40M+T8Kdkvu6Y8qWyXB4Gu0wsxmI1CTJft4hLB9n5xn6/rB5eo0TXI6/j6O7P0CLu3swvffnaJ9o6vmWxcj/F4uRL1XaqhlcVx9EzMwuqIj8lsVPRtdPGuCb/cvRo04WVg/xQP7CTOaAa+pZU/r+Vcys6WkMQ0OfWb0FPRMcob1dkKt1EHGr33jM9xyPyN778FiKDaWTcjHu3szGhmGOCM4GHEOz8e0ce9R+dBuyB//Do9spWDt1NnbetMXMqAMIead5+UJdwRw77IbhwZYirHPSZ/UtDOAttV3x8Se+cHNqjZdYnR99749e3jGQwxGfn9uNUfwfb+PH6BWY91kCbo9SzRKns5l6XKD4IQh2PTfCIfYiNv81HfXH7oeVT4IBLNlDZJFwazUONxZn48chcbDrtgwFDmHIPzsPhk6BelTZ7JcUsx2OA7N7wTtGjnEmSHOts8KsD1r2DEGRYzgK02bgNUiOQo4IL0zDDLU1HCdIOyyxxdEfWexhfYZbORXg+3+YDOsubYNLBXdzdLazUi4Qk7ccfAkzjtxG+CBVQIqcUPQedA4fn2dh40z9XTJJ+9icdlvGktE0RjO1DQpZpBts1vbHj+y9stPnWcV3kX9gNj+ntDRJdkd9HvqsXCNH3JgW8Ix5AoewTCbm9CJedRrPxsbNy19jbJf5SGe1tp6ejDsbBpfznZMjekQTeO1XAFbDsCXvK5ZoyXQ24QaBk7PFbQtPxDxxQFjmWZiva4pYpJeW4PYGjPoOFO2Ac5tgOBy/iRWirQ6/QDgRgIK0mdAzmr0eaJigb3+WZaCdglfxHOopxb3X42Ytl5yE38v9cDWs1BFYzuafBnOamSFmvMTZSiXEp/F1t9w7q7WgL2Q7bW9GeOBCmcF/EiH9FyPh/hM07PoCftpxDEXM/ko5JbI+XSqkTdbysnK7l291RFB2I/Yyn9e5KpVHj0CThW/geB6zs9MpsrgV9ed4qyANKjkqpBBOKJvKmfuYt9o7EnfivU0ab5aPbRvpjYTHTNApbuHs0cuo198JtgYs7S+t6QYWshZh+WxybVeM/NTjeNB2ELo11wlCn256KtcIab6zjZvIDayx8KxbpQJUHAe3ZhzB7fBBqh9ZBVsMso/Zk2/0Tz9efnXkLH24DfxaJCKPfXWqbo+JrVSwd+tFtlvlIC2OlFsvhGKL8Ligf3IYA/tSulwhv40/XmiGRga8R/y9os1uru8J/LK6r9rTOQe9rkj/6AaLtqHnasSk6drLwogf3wmXApTSwxvJy/JuUyDVzwYuYffRb3sOkiapyi/unV3ZLot9F8xcc67/VrZDllkexN6VTmtx6+YxHGPnfeUm92Hj0nnA57hYUICijisrHrqQbUp0uhSALH8jFkpsDvSzcUHY/X7YnpMEta4xYYdIO8cdsTLX8DHOC+BxP4vfRaFaggnPLxVysNXwFrJ+vISALH/9Fvr6EOI3mVZjiFIMfeSEoH3HVXBKucc2LvUpRP9reB2yXcEWz8achOj/nKd9ZfUV9IojmNHkXfx3g46EA5IINrWgZz0vCNUMQJ8JTN/6ciNKzna0PYrxpXrc1XIEPX/PgJ8RYsqXFqIHPyo2QQsLo7KLkKf98lTk+ZUn6AsR3tsGs+4HIzNzCbowRS1kJbyP4MxMLOH+oPTjF7mf90W6AenHdXJg8Y0buNzChjv7UNVze0jpxAfGPMTeUapqmo/jzNq5rhLayX2gAttmGixYBBGQxBaSvzOxWHZ5xZsTsf7XO/28WQU92/RoPx41YgwXOzrHpEVfoGC79zUR7/WP2QU9LwDjvQzerNIPHyfoL8HFfQu8dCT3KQwfilXohVOzgpCtz/dQRwVyQtpjfI0Yg98P/dploqsU7CSgJjsJwGijEkEJ3xB7HPiHmclJVeKTTR3CbJOKYtaPLdfigUMztOvUDLdPFaDDgjWY20+HZUF5mPh65qguZMS5pMGmm0idatqI8dL31np2Cu6ZerVgouFgimKqraBXsAH1ovvv2KYrRbIZBT3bumSDmrNM00+s8nbPuZ/qTpCgbdelPEHPmWH0/hbvppnS054EvbaXtNIEvbgj+1d4IdJ42xrx+PEvTTvMQn996XoaN6UzXFPMMhB2os4tNyCtuUmea/pC+HdwtxeO3A6HqrWNgr3OL8L99224Z+JTLk2t4Ba5S9rnGixYhJ2qXtp38PjxsgC2yXqe0JhT0PMJdw5gihG7l6bv+UoskU/o48US+phb0ItmLnVjzCroA74B3msfgGytiZNYQqRu2+G4/VXM78iuq7CgFxIsHZhi+PtRib0MSN9jKx/hBNvAh2sX9BEmPvnNQ9SSTNgFjhdMMPn3cgNcUvQ1AdbQsHIEPVP5Bs9rutBV3PlY1xMs4/+rjKAvvnsTv/3JQauFl1o2qpAzBlcK/2E+vUi3HbYZBX2Jc52eE5gwKP/UnSBBzo5wL9aDs7qDa7mCnnOkvYh6vdvgOQb6uXqcjS3b7Gf2tg9YnI7G7B/K+3kKeQHOnfoJ9xq0Ryfb18rY4wrDW7eg5+zJc87k4nYtG/R7q7NGEwKdO/ScLW/OGeTergWbfm+hswY7BGH8iPZ/zIvgtox5DPNtFFvFnKC4v/2v1ktoye7nTBo4fwcGQqXtJX8Xr9P2GnPPu3z+DOTW3dGhbcsy7TK5oFerP2sAbv/xAmonjWU7si8g5uFe8BvK3ElMg3F4QcMOMzsyYum4l6Onjt0diUGtl6R2CXbZmsaJwEcUu7fW6l6MWsS8KLbnf9Jcw/37D7zQrAAhLElJvE8mMpd0UTMfSsTkmq4oXKtjd4mzLS55v4SxJ4xNw+Y14wS96DvRoLwTM+Gd/ayvnjtZaoJev/eD+Rj99CNOFAA23Tugrab5vPgcM3vshaAMW6PMERhV5sd0GefPyGGt6Rkq/aB9nqvQcOTtyM/jjNwa3Tu05ecVlZ9YByjPJcwsMe6DLvCMuKtTlHGsr+VnoQA2Gufg8uc8BW7FfYAunhG4q+v0mZtLruUji+uvTrZ4Te1boJ2RsEMfkOWJ49wpYbojvlQ3A+VuZgLx7W/fxeGRKejECX+t30P2Hhacw6mf7qFB+06wfa2ZhqASxTgX0h+9gjJgq00Yqs2Vmt4/SW+UznEVGgmab06cjJqu26HQ8/uvXojRO/TsBHGO1zrk6GhSXffPcejDbhquEua6SG8DfeGUS6rkHfqSzVMjWZuh981SpMULesWt7xDoMhJh54tLAFg164OAnXuxVJfbvFZk3FFuRyzroceANJugF00h0vWzoRf0MbN3bL8YDsp2Z4YMi3IFPZCxbSwCQg4i9VoxOq6IxYRjm/Czsy1Slm3Fc0slxy0WztDPHaH/DkLobHvUuhKNuV7LcGfcfhxZPbgkqkdRwjIsjz+Pc7GxyJTbYNAHTswZE+jOoh9M5sIWsLCJoT6TsKfFJ9i6oAdqMUfhVRPn4eKYQ9gXLIbozNjGohycwbXUrThaYI2unp7owhYZzd0WYbErdyQnQ1qoDybtaYFPti5Aj1q3kbJqIuZdHIND+4IhREtkERfGBiDkYCquFXfEitgJOLbpZzjbpmDZ1uewlDk99Tk9BcvX7cZBboyN24HkpjHYUnMWAsfUwnczRiLk14nYf8QfWDMBWxrMx/JhQMQ4V6x94VOcSp2n6jjKt2s8NtVdhLjQgWBhCDDFOwV996pG5dEs6E/i4+ZDsPJ+V6z/MR2z9DL/ZB+w8NHwXF0XH30TgHaH5mF5w6WY/dNILG9/DKHX3sLkeodL0msjeTrqTq6Hw1eY86aaxYVu+0vGO3gaVsMHi93uINh5NVp/sw3NQ5fi94/XoPNhT/gcn4oTGpwqefOyBR313IkqwtdD38D7R+tj2r7z2FiJ3rTF58Ix2nM16n70DQLaHcK85Q2xdPZPLEpHexzbVxtTbA5hspQaXfnd02n/ybI6Rk7GtHQnfDKlJfZP9EL2nH2YcXY+YrtvwMy/F8Fz4SvYoqfzsCGCPmPbFLDXiKnWc4iNzQR7keDJvUgsYbzbosXgXyWlH7+Ln/2p7s2OkjmJibDRK7DpfyeR67IEMzsVIWTkeKTarkVi3FSV90ORsxljpqZhcFgQhjb7Ez8s88Kkw62xWiny1Z0T4Qjbk42sJNX3Xlt91adALqqWz/hNqLsoDsIrOAXeKX2x98hqPtKKrnluY70VJfMgWESPPiyTZcB7P+OblVuw7/vbUIh/C9s9GY0TZsN19Jfgpg7uu/T5gZOY7SDMS+M31cWiuFAMZNJpzRRvpPTdWzJHKteBKXdhhzw3DoHbk3Dl+1jEZsphM+gDOIkO6yXzJtdYLmzqhx6YnjMCUdsnoZn8EAJHhuCvRYmIm8pFQtM15+1Ey2+2I+nK9/x4kNsMwgelD8IWfoLmH8QykX4Ij+k5GBG1HZOayXEokM2Hfy0q06+aP0OSoPdHU97U6yBslmTganBXpcsVODLjHfw0MxX+4L5vWgQ9n1U0FP8OCsVs+1q4Ej0XXsvuYNx+pXn1zgmEh+1BdlYSth4tgHXJOC/9ZnDfpVlLwpCU+TsUbK4/UGcLYlu64Y+1C3B6aAIubXsZcSXfi1L/N+6+gLCvcDD1Glsqcn3tjcjTEfBskYFltr2x5BLnzPsi2jhOxZqvVpZ5pzTykU7ojRSZgvncDZUFrya7ekMkgqZrTy5i5kv7h2NX7nIIXjeCfgp6eZPxGzRioIb+ykEhNNnVV7Ty0v1SYAi7FcjOZcEeTFWuhZVj2YJezlaC7Vyx/a4GalbtsPh4Npbq9hDVcLMQhilHn6Mdkwp6cefvlx+wdsYshBd1x7Lo7fDXO063UO+Lxjp26BD0PCjRRCPL2gZjYvKwoelWODouxPOfpOM4pzA5e+j3c+C3PQZB4oJKsCvegW7brzDnLmV1IGXBUzMp4h0vByJ6TAqKmD1bia7k/+6CozOO46fgUgdKYYde3XGIOZXNaYGB0WOQUrQOpcF/hL+7HJ2B4z8FlzgQC6chWbC2GYOYvA1outURjgufxyfpxwXhLNkzWtXB8G0F2Cc5BfJCLQi/NOuAt9cewS4pdIk4QTRQHkN81KTuCLBarRJlgLdZ93sBmy6kYqro+6ZR0Itc1v/RDAHJt9guqa7ZgosV3w/vRndHzHkp3KC0ULQ22I6SszvtGNRF1SZTqQp5axzhWzsCSWIjhH6xYhn4mBPlu6kYUX8s9jfyxYlfVosTv9LNmnZktDZPcC6ddqwGiwxZhGgPITzOtVNscfizLiYa/r/W6+jj2kVnCEnZkTno9240useUOqkL/gbp0GV7KSyG8rXuJsvZbly/w2NxVhzvUv/bBJ5mzsI1ENK6G5bdGoLtV5gTnh7mo4YIeomILvt56TqNO3/asJfMKTYIPJ3Hom0Ib7PA4wCGRyn7KHHmXnYIb/YlIreJx/cQx+vlsuNG83tffv/zUYa6B8BqtbJ5l/AMvxc24QLzK+JfQV3znGj2st/hS6V3WfJHURUFijR/tJlVH4f4qFBcyNfe6B5ghdXKu9GF4eht44cXNl1g9sHiJCDOLXlqO+Tln97J2GZjB7gf8lRxMhXm4Fi2cCk1g9A55+n4tvHRrpg9tqey+RXvyzUEsWyTQmXu1tgtpYLeTuLZfImqfwbnZP7OLQSnsqgsUn00CFzuRP39HD9sjwkSw19yC4EmGLKjW9l3RhTKHbV+30VnVBb+wXV5Bg6Nzcf0DmORNHw3Mte78EEhhLkwr8wpicAkAjXnf1+yScKN9Rc/wgYsgwAAIABJREFUs0HS/sXoZ0CghgqbgfBjahG6KJ2o8lFuEmZV3KlYqT9T57TE4pd2I26JuNEmnvLmlVmcGTA3i+Mo/9PSE01+fpr8Ig78zr5lpo6eoI/2MaD6lnqpRQv6zODWcFjKzvm0/Kx6rEPW6dmwNZSumGjAJvYxEws6Ro4JBL2j/16on1w1sOmHtzobajokHHUl+xlp46zXoBZjzmpJwiD4HjC7f5XQk+I9ZZJjaBb0Qr/WLImJrtx9QlzeBirCSOOHnbfjW4qamuKoaxLb4iTfggkozfbhYhus2OJDeUKRhL71bKTcYwuHUtUj7CYpfYyLdjijjU8ynCNKQ3Hxl4vj7W+lD4zWj7YB8Y+Fj8se9OQEdUlUEjGsYpJaO/R4R3jOOVrMMbgJuHc6fM4GQ9hfE23xT0nP0R4Okb9c5w62egWLWYzuGixGd+n7WZqERI/GKF1Sq1UPDOqmw4FLxvq/gzv29IzADWYDL8V4MY0IZkLQ6SO8FFfqFCzkAWhZMs75I34WXLaMWYaWphoj6HXaz4vP0n1So1QpbSJMFKs1VESVNB+wcIB8xCqhHOFdeFJmPjBc0Bdhh3Mb+CQ7lzFLFAIQ/K00r5Q/z5WYiUU4KJmJKPDd5EZw2f56mV3R9/EVeweZFORDCfog2TlCzZfiEtZ0s4Xv30rvl5ZvS7mC/qQfXu4Xhppl5jHRDIKFHi7Jhqlrziv32yaEFQyrWTaDqRC5bJQewktJ0LPdfl6AbwSmKy0Q5GxDhst3Ec15y2sV9KLJHv/ZeYyS6NFi+0arf8d1CnppHA7Tar6qvQ/Ygi3kLSb2fxai0/X4AeMHx8HjiL75G0rfHekZJSc0hk1r7Gph8djr8ET89N0MtGRx6Cd08YX1VyY+1cz7Ev1n3sHSSLZgaXQXJxYNhWv6hLKn0wbWn/9++dXD7nTmj1T3HJY69kXy5B+Rrt/RtGFP00v7GFakJV5twYK+NEardnDDsfv+Pni9aCBasXPt9YkBbgJBb1SMWY1NEicie8NDaIpfTkGEluuEq02cSxXihNuvQEPOfpGzU/2NZXljYb5aTUSsXoJeioGuxRFYw2Ss6cMuJeTQzFZsg/JOj7bJv4Szhnv4/9PCo8y4kOKT2yHoRCKmvKrcgSIfJfFfcRt6wfFr6S114S7uPnUy/Di0fEF/BWfz/oNuUmZUKXxjGeGi5V005J0z8HU2xeXCIvNWmegvgvDupDMMXPm72jKcO/sHy5/QRjyNEt/jezrSvcvOIeH7QvZ+lf2d/WIkolquQxiL3V32Vwuv93GFahJbfeznxZIMOU3RNj9qc5bl7MZZkj5lP5XrW1zQbwUqLujFncODdkE4wcfMVvql+qHVxFilHVdd8xyTS/yu98bSGPvcmLf5AIdv30XTkoWK6mJNWAAehF3QCSSqTgIsTGUrTIxVmveMEPTSvOe58wZWq4T2u44tLv2woobSgkHXnFfet00yUWAZhG+oPghCf9XQw7dBWdCzvuBOdweu5xS9GJOefeOd5+LFaHGhW84OPe8TxH92mC+X5Hsg9qnRgv6JdvOLcudn6ST2fC8491fAKZSZCxmRsKPigp4b32Km2JMZKKxthwGDzBTOuTgfqd+lIqOwNuz69Ef/nq9W2I+Rqz2/SXP8e+Q9eh0OTu/AyZB41oZM/CToDaFljmslgVRO2VajsFcWA08S9Pp1gF6DWvzQleMoVZy/B4tnLkRMUQuM/jAI3kNvIoQT9GXu0bRDL2WdK1/QK+9aaBL05cb4l0S48sJF/LhpX1zpEPTqbSvzMZTa2gJe68JYlAoNMuv1PnAVVVaFBb30wVWPHKHpdEK/0cGO8svZoVcvQ3xOY33Nvyxa0EuLTPUdO/1FsEFmKqLwTNKVYM1oQf8yOr7bF22UDx/FU6ICfcK2mVPQM6fPE9sW4ONPj+HvAXMQMGMYs0P31CgQDd6hl97JFl5YF8bydpQZ98oLHd3zHFP0vHnJxpaCSG7KcoF4/BaMSckdMS5PNB1hz+y2qCWS943hTTWk97oFczrUuNhSNv8yQtBL856mU1++uS93xLt9xYWjrjmvPEEv2Xc7+mOvRsdIDWOsDG81QQ9pE2I4orjQrvJwDF3VFnFSwqnyBD2zXM/fsxgzF8agqMVofBjkjaE3Q9QWacoL0ggWDVpbtBTdwRp0zs9cZuU3WMjJlmxRYGQCPtMIej0n9+p+mV7ap+pDsuAdeileNpdnTvPPash2XEmaBD1MTlULEO0nX64kkxvT7dALu68HpleCyY0WQS/ZEHKC+3xJanttH0dNgl44Gt6uKF/QK2eT1fRhlxJFlLtDrxwOTNfHTVoElLHf1NK2Mh9D6UTJTqMpkfoI1vnB0DG3SBGS1BNlSHazxsQhNkTQC/W/x+ymS7MUlltlfgHAwqnpe72GwmTnEvB9oab9ah2wdNnQi/PBMfXsw5KdtR4i2BBBL5mtlTHNMuB7YqjJjb6mQ1wVhGuZ47eukL7cxYbs0JfsbHbAyjOl6ekFdiiz41vmvS9KwLKkxlhc4rSpBkzqR70c3/QQ9CVmIg2wJOMsbFd44LdVqRh7iuOTx/52Fe9++ybWdv6pJKa/9F7aaTIFLDsJlDHbE5CqJ51jTq7LZHBe7Ior/ImRnPmW6GEuqmvO09B3GduWQebMHKWvCLvp8jKnrgYMUm5OVUtIJLVtGDNLXHx1CL7ue7Y0iZBWQS/6DfBJGpWSMGprX5lT3iIkLEtC48WTIbj7VlzQc9/BwYuy8N/z5/Ef3g/G8KR5JOgNGUsVvJYEfQUBmuJ26QOQwTzI1X/MKXZpWj4WSw75Bj3vaTnFGlRJDRdXglOsJGw1CnrRnOORFjtz/p5a8HUpxNTEaWgnTZzZyuJdSvHdWqPwFZyRrqqYPmgS9HzmXK/9aK3pwyna715l9VG3JzXfDn3ph1jjx5ZFpjiZWQN9xVCiFRX0mu+XTrVMmKhE45CV7PRV4ydnBjtit1M6yiQg5cowZNdXy2titKCv1xYDne21Z0DWIkol8wn9xZNaohQt7RDMJhqr2JFz43nco3AcmqTJhKZsQYYK+jL284UsM+eShohlmbLrqRVvyOLEEEEviV31nVPhnRdMONy+d8Hm1xMRNgQQ6qwUtpLrp3KzmkobCJrHv+LKSWTW6AvhFdRH0LPLRDORBh9+BPvsV7GKc94UHTwz/DZj0v40dP5JyYlPGksahTCLGnMyEzX69uIjfmljJyUcLJ2rSoVxa9GHSeO8x6J+nTspw2t9xbGuS9CLpzYZSnN9SWbe1uyZXEbk1prNUmTnTkL2Wl/YC/7qWn5lBT3LasccOWch3XEcxtV9HXMPSz45SjzUN1XEPnikPJ+zyyWnUp5TLV+4FE5F4jTmmCGGgywNW8mNi5VolyUlYKqYoOccr52mAxtT5+LX+SwwA7Mi0ifbexlI0imI1vj8FdULdH8JAem9NDLmf1UhadE79DxELgzgtPFYdkAIF8ViQ+HFriOxbsc2jDfCbk3oGMFBaUFHPcJWaolEoE8Hl28Wol4Cc3DZPAZjv6qLoG0R8NIUspAflJ+hr7FZ4PRapZb3oRP/T20HTLI1FXZzauCDkl0ZLVFu8li8866+kDPnXtWdDeH6xc+HIVMp9KHmo/c81odd4Sv3w+k8lgxLybyAFySLn0cYC0k5T+Ko6+NW4R161p9iVKZINcdKrqcLNzvzzl9ShBjNglwICTov6x2si10Mp/I+luJHbqiSH4gU4SOjl+H281wdtTtDsrG5ZiiGrQU+SjiCWU2FWPYHlT+83BG0VwEWpWpOD25Y2Er2vF2TMe/rlzFn22q4iaH79HnnjLtGXKgOVfJNKdlMKCcJk/LDynH6lcVPx8C532PAhu+x3uUSglgs+5AipUUue1bIO6tgF8cER7kCqfSBhgl68T0ssRmWM83TD4fHcrujZYMCGBW2UotJmnKSGGnMqy6QpKhMwsmW2+FOWNkui8+QKghbWekpEBvzThlTkeqvPZ4rF02onWukmqM4/wYye21OhSWJkab0FPRcwj2+vwDHL6XIOeKmRCLQaNK3KJJMRvju4di2Y06jPRFxIx4lvurCJAChCmKkHW2nG6IgLTnB4U4egl5BKgeFbZJom/e4TMXdDriXRFKSYm9r38QQT0tL/GC4U8YgvJIqCN88xr+rrxx+StGL+CZy0bi6HYD7WeXoYhrePC6gQJMTmKIcTIDxiWb2iF77FUo8xXslHwh1QS/O3aqnHpKTrXhaUeMDdLoUICQkEhcqshLHYVZfpwxMLZmbKiDoOef5rjswJFPsW6VTJ5XvjT4TkSTojQxbqc8jquw1kp8ExNwxFY16I34v5eXkOOC+OVM5p+3NFdGWT5e45Qt6iY+GhCwVQVd+YikxvOQDFtc8ZBwmRbBIOx1n4NudAbB/iaW2eqlsoqDSugj3ym6y2MBuM7Gfhdy0ZkooYaU7WjZWSmRUpvLZWPFmJyy8CKibUUiX8oLrvb8E+0M9P/y8MxGXMInF0ODiMXt+kcEOkm1YuPUIBA5shtpKiZP4JE9RAXCde5DFJh6HmL2foEdz5cgb7GM1vQNGbPoLo2LPYatHc4DlCZg3Mgq12hxG2CEnRO59A7uiuuHrzzvifn4cAlzn4qC8I2Z8uxMB9s1LkoLJjvhh8MgYdN+ShrWjmIMNc7rZ6TMI84oml8aQ5xOz/IiVE9/FhmxrJigTsNK9JRo3FhOKcLGJB49ETPctSFs7Cq/WYXaWO30waF4RJh/ah2A+HChz3M3PQVSAK+YeZLGdx8Vg7yc90FypD/l2H1+P6aM2INt6GNYmrIQHS5ZV/8k15OwNhNvM/bjbaDh2JH2BoW0bo8b9a8iPEzmJ4+ItMXkUF2fbw8UPsgnx2Bs4sKRO3nEDsIOLyc0ltWJJWuLE+nScfxTRc7sIyVoesA9gI2aXqbBSjeagcaALH/bl3b7lHcye5O+Ej7sfEi/J0VKf435NZfImC3Pxepk8B8ICeNFvs7AncyH+njsYcS+8hj37muHbOxsw+AlLAuTqi1rrkjBP4yJbSGXv+ad65A9tb7Boa8teO23vQkXefU338uJleTexPdxYdIdf4iXIORtZveIWC4uC04vycVYK3yI+iBPII2J7YFV6EvomOGH+ZRsUbC/EPC6sYTOWSGimO757NwHb3KTYOrpbZ5iglzNtZwP3cx+xtvihVuQEzPs5EHH+XMxy9Z8QY3qTmy6zPm6e0/QecO/HBaSvEuYaOAQiIWIGunBJgK5+Cce3ZiPzjRU4dTwQXdj7eu6LEVhQ2A5/b1mPewuOYn5BKH4JYOOI0+wyljHVxgtp45NxbYM9Do/xQsEi5oBYbn4GbmPEAy5+MkyI38vmOGlu8UbcgB18nPYnOuc5VSaCw3RLFcdowWzqELOn15BRl4m8zR4u8JNNQDybPwa+WgfF3PvpHYcBO+LAqqDGbj6ORs9HD1sx6pniBwR37o/PXlmNnO8m4/Hqd7DKLo4tcsRJn5/3hrPd8/VI3T4W7dmfb534FN5+9xCUsI6FddQ95wktVOCH4M7o/9krWJ3zHSY/Xo13Vtkhji0chCdxGwyDMTyiNdanbsdY4UH41NsP94ISsE5rHhghcdje8Bnw3X4dr/qEYcPMkSVR3YTT1V9Kw3ry3ygZbh4Q51QrB3wYu4XNJeL3gm2UTO8wApv+GoXYc1shfHbmYWRULbQ5HIZDTpHY+8YuRHWLZhFwuJrL2KLBBl5p45F8bQPsD4+BV8EifiHIJeO6kB6Cie9yc/0ArNi7Ad62jUuTB4pJtFTm5/k90KI4B8cTd2GB/yacf2EYdvy4BxM5JxV28nrYdyTe2ZDNVndDsGTHZ/jA8U0tiRbV3jWdIlP3PPAsXqFguVuGLaqBFevdUPeHheg7/iIWKG/OGdNonYun0m+OsrmvMY96mvdUHUFvakr8y5SLT2+y2OBljPC5rKkpuMySiWr6NWUJK9STsJZep/3eem0HwrmcM0ruSPjby7XQY1A3lA1nK+xIvPvfDbgjOmDphYTLGptymWXx1PJTMkfQGOe7aVd4qjSWZRg8exC7o47gTs2GaNx8ENwnOMG2xi2cPfoDbqAVX/86l5KQUgZgU5bTRjxu5qpTfB2nE/ewhC9X8bBuaybwR8FF2Xv+2imWYEU98Hg9tB3orHTUW4zrpxOxhyVuuvqwLlozgT/KpScT0lJ7r+EUS56iXopyH2pqN9dXbR+mlIl73rTrQNS9XHZsqIwJ9lHIPbIVOw7egMK6Ffq7K7VLU38o9QFvVnLfBu842eqOIsAWQYfCd+LE/f9DvTajMPRRALrOyjI4/nzpyBB2S1f2KyvmuLG5Pepb3HpQD228pmJil/q4cngttqXcx//Va4NRk8aim9YYzILYzVWKOaxr7Bbnp+K7gnpa3gVddxvz/2wxeCgcO0+I7Rn6CAFdZyFLD/t5SRzxYflur1MLV8jpi3PY+/U+/HQfqN93Aua+3Qb3z+3Ehogr+LtOffTynomhBkZ3MEzQc+9aPvaErsfZR9Z4deg0TO6nJYwnv6hbgPY6TwE1z3Oa3w+ld5aLlvF1FKLzHqHhy03RmSUNHMZCij7h+juXywCqGulCcessdm/ditN36qLje77a663W5Qp5Lo5s3YGDNxSwbtUf7qNc0FOcFPSb55QKLIzHov314OvnVGq2xUT3pgXX0CfMC5rXF1z0kSPYuuMgbiis0aq/u9K8pImd+tzIvdtbcPDqQzQZ5Av/UerzATfv7cHOnRn49fmGsPMYCS/H9mLmVN1zXmnrhHG/5SCbg5sMgq//KKgPRS4SyZ6dO5Hx6/NoaOeBkV6ObBFR3pappucrtY8zP/wReEty3tX6jVK+h31fDu5G1JE7qNmwMZoPcscENkfWYOPj6A83APXQtMz5+uzurdh6+g7qdnwPvuxEipue5DkavkvKJnma6sK+gV2ZQ6/yp6jkW67hel3f+RL2ep2YGzOXVe175HE+6LykEXZkfsbCRLNNrpqeuFVyOmZc2yTzyfJChArfnDRsC66HtcxCQIyqa9wDn9Jd1VfQix73R+cpJyB5Sr2gz2P5iAujgRgNO0L63E/XPOMExF3wGOPs5yU4/O7ZjOZIVDkmrxg63iTr3f9igyEnSxV7ZIXvluxz9bKfl57G50Y4ifkaNwkqXCWVArgTRt/m3wsmBib88Ym01gxSTf5jwvKpKCJABEQCUo4TaI+HX71ZsRO8kP7ou2swDmeGoHfJJp3hVEqiT2nNQyOWycy1HD9vh/SSZAeGP+tp3lGNBT3bOGMmLG8E2OLIVSXHnKfZG+U8W8YiT7Ra5YhMFj7NtJ9wC20wVctAAsbHn1d5ENt5DLJzQRHLtFlyxG9gTVQvlyHSrRVWOWaaXHxWqFo6btY3/vyz0NaSNpi8783ZQ1Q2EajqBCT/DP0io2lsbfE57Jz2EeLq98drt0/hwcCFWDlTzOhqBJ5idnI47aM41O//Gm6feoCBC1dipt6Z7I14oLZbxJOPgsPLsOnB/7P33XFRHe33J9/XqIktmhhjUDRBo1EUoxgbsYBiVwQbdrH3iAXEhhhRVDCiWBG72FCxoKhgVMACWCiKBSzYVhKwYbLG9/f+5rZlK3u3sZTZv/zgvVPOzJ0588zznGc6toWMJC56+pcvqOJ12JCXmVZdaRlB9pj5ZRgOifZp1r9NpnizRBN6NlDKvjH2DUjKS8dtCpQNLZMJQrLyQI2IPKk3Q4uk7xcvBHLPu+PH9qvwgaQkf0GyBxryY4Lrao6tgKNKwcb6lGnMsvSpX693cs/D/cf2WPVhFi6+WA6d0CSBj/aNI+CWrhQQqVdDCvaljI32aBzhhnS5TLkF2wJaG0WgJCGQl2tHP2lrhr80wE6XW4iZ9D0BToKtXWphXedEEsejh9mPWbsa7ITLLRLbwxa3FV1qrUNnQ/3XdR3S3BzklKrMu49xMT3LWkYgK7irmpgfMYXzWZoTKufvjsoEPDtfxcRoRZENMTUUlmdKOKFnJi0Ttf4brAstWWY0eEkQYu8INgjV0GDvwjLxaDuMhMDzSCxdGIYHCsU1whD/KWirrEcoukoupXi3lHlIlOUaEP1y3oOF/ttS7tNzRC5diDBFMNFoiD+m6AAmo1Hd7DdrRMTMht5CXHrAbcgrrEJStxTMS9Q9hb0h9dJ3KQIlGQFOsjUVovIWKAPF5vY4gclE7lXwvGOVoRa3QpQeLpOsnO6JyWwSNe44wBHhxa2ikB2okJbYhEPGk+9q25F1fBi+4tvgXmYt0mOIZKxeNQu5b/J3bbq+zQPJTX0MUE/Uq3FGfYkSegZOQjwmuMbDNfw3A0iQUcdFVljGthHwkLpjF5FGoGTeNBjTUtUhQPwXl/fD0q/X4sAIfZbRDGwb4QGp+y6i6lHSZi4JHA/7FcOuuyL8t7YqOu+Fbr69vYB5Q8LRbpM/UUgpdK2jDaIIFF8EeIlSqR5a9Jys67eKCeD0zvfBE+lvFZXIdEk2aKxBkoSPhlNYCwR4dUbZS7+i5/wPmHN0Hybp63MjSI+LSjhnrF6YpxxK6M2DO62VIkARoAhQBCgCFIGSjICgvV/TC5ceE1cPHbBQmwBOa74VTRXw2vyN5XJxkEe5HDAasrrr0FadHzWiDr2gcFNZtGKZzq0tNC9QQl9ohoI2hCJAEaAIUAQoAhSBkoMAk8zLEuPP2bCZknURrSr0hF6WAyf/0ZTP6/PixQukpaWpfaFJkyb44osvdJ4anMDBe4Xs8zoXUkReoIS+iAwUbSZFgCJAEaAIUAQoAsULAUFSUZsCi3KvufdqqXG5ucZmXfYiCczE/3gLfS01LjfXxCbXU6pNbR4Z1RbJ6/afOnUKfn5+apu9atUqMKRetx+vJPSyj24JOXWrpNA8TQl9oRkK2hCKAEWAIkARoAhQBEoUAhlBsLOajNgOG/A4ehxU8lxqAoP1v0+Aj3JQ7JyaepFXVtoxwUclKHZOzVDdklkWpsFjA4d98bJPEe6DDnhSQq8DWPRRigBFgCJAEaAIUAQoAsZDgMvQPTm2DdaSTKWsZKSYHyNnXdMBd/1e4NRIJpo9B3udq2Ni+X1IJ+pklcWUIfcMKzHscBd+L06BK24vnKtPRPl9xspJomODyOOS8AlwiOiCSxt76yUuwCr3+L7DhNMlIyEnJfS6zzH6BkWAIkARoAhQBCgCFAGjIMBm6HY9jPp+KTol4JMmbcTAQQdRZ+Y4NHy4DWsT2uL3LbOhXy4oIle8cSAGHayDmeMa4uG2tUho+zu2zNY/UZVB4DCyx42csNMuFG8ODdSd0EvPYGJ1R6yvsrDEZL6mhN6gGUdfpghQBCgCFAGKAEWAImAAAmyW5lbwzZ6A08/XoZOuSr8KyZgMaAf/am5ODkpVrmw+qWxpEpZ39sX7n9Ow6L6nXoReOCTZrk3nE28ZjkthL4ES+sI+QrR9FAGKAEWAIkARoAgUawQku3qj1tBIdAt9jkMDdXWYKU7QkJsCX1fssw/FoAstYH1ZH0LPB/k+m4KozEDY63pAKqJwUkJfRAeONpsiQBGgCFAEKAIUgeKCAE9C3xFN+lSiSV9CSKjy6DGJpQZcH41I75a4zyj56EHoc4gev5XTfvyy8xHCh5ScbHmU0BeXtYD2gyJAEaAIUAQoAhSBIouAlKiyNCSqLOV19KUvsh1WaXg0PJquxt9OzfAV+b8XZ3/H+leOWNS3B7pOH4LmFUT0lHdf8q8cgMT46Wgo4pXi8ggl9MVlJGk/KAIUAYoARYAiQBEowghIET21Jhw2tcLOR+EoQcZltWPGZqp9p0tQLOOu0wI2Pp8iIDEe00sSmycIUkJfhD992nSKAEWAIkARoAhQBIoRAkxAqN3PWFBhNW4RXXqxKpbFCAHSlec4v3EDjic9x2tUQvVqLdFvgQustXRSmuSLFjYrUf/gbex1KTmuNgIslNAXr6+A9oYiQBGgCFAEKAIUgaKMACvZOAC3Z15FzOzG5lObKUoY8phdHXgM5wM7oeTReWqhL0rTlbaVIkARoAhQBCgCFIESgIA0aTnsfl6JH3dfw2aXGpTU5zfm/K3Gyh/3IZkk1SqJZJ6Bh1roS8DCQLtIEaAIUAQoAhQBikDRQkCatAr2rZfCancydvQuqTRV25ilYm2bFvCx2o5rm11Qo4SqA1FCr22e0P+nCFAEKAIUAYoARYAiYC4EcrOQhaqoWs5cDSj89Zo9EVYhgYha6AvJQNBmUAQoAhQBigBFgCJAEaAIUAT0QYASen1Qo+9QBEoIArkPL+GPhKf4m/S3Sn0HtLE2YzpwU2Ke+xCX/kjAU66jcGhjjcrmvrqVnIHn2K2o0McZ9d6fgo/3DXTafQL+nejVuymnAi2bIkARoAgURQQooS+Ko0bbTBEoAASYjH39onpjx9KeqJq5FUPbTsDVXvuQGFzMgo6IOsLoflHovWMpelbNxNahbTHhai/sSwyG+dxWpQgfVgmDb3jjjyRP2JLxjhhdFt13dUPo80Mo0ZnhC2Du0yooAhQBikBRQ4AS+iIzYlLkPJXg7X+Bz760lPnT5WZlAVWrgrrX6T+Q0pynkLwFKlSzML9VVv9uGPnNaEytMhavNp8kCgt1WYWFnF29UWXoRUyJykagvZGrM2Nx0VOrYOyrzThJAqrqch1F7ypDcXFKFLLN2NHUUHesjm+OaQGubLZDNsnK/j6U0JtxrtCqKQIUAYpAYUWAEnqNI3MBi5qMxtZX7/HqxVPU9knBjdnmSDsmxZOTvhg0aSfQZyamtgKSd+5E2P/1wYbl9bCpxUJYX7wBszRN66zOwLZ+XeAd/wHv/3yELOcj+B+RlCqYn4i6c68haEAvLC3thdU/hGDwriZmtsrqh0xu1mO8KlUNFgo+ItwB8OMXeYc/3Uq/AM8ajlhrtxuZe11QmXk5fBg+cdoJxy3PEOlWXbfijPE0CQ57/KqXr3nLAAAgAElEQVQUqlkouv2wB7KPX8BSz6ixC5414LjWDrsz98KF6yiGfeKEnY5b8CzSDWboqSpakjAM/HEw0j0Lmy41M89u4fqNf/BtozqoaVk4jAvSnBRcSyuPxq1qG8XYkbF7IHrNvYx37//Eo28XIOXGbCOllBfWKXPvM8b4QJkyyHxIuYa08o3Rqrb5zEwZu0djwNKzyHqn2K/yLZfg6N7B+D5jN0a7/Y7LD7OQ90h5VK3dEr+GBGNwkcjmZKq5k4HdA3th7uV3Zti3jTUPS2Y5lNBrGXfJ1i74xi0SNn7mIfQSQqIaDbiNmVdjMLtxnlOvJGYunLv4Iy63PvxSlAi9NAdP35SGhZ4Ex9ifgjRmNur+sgKZQwuS0HO90Fx3DuGnVnCKm4BLqZ54Orwq+u6rCPfzL+Hf1tgImLY81nK7sxyq1mqEVo6NUE2SjNOXkvFn3cWIi54OuWljUENSlzeBtcc7LEy4D+9mBhWl38v8gaJc1Vpo1MoRjapJkHz6EpL/rIvFcdGYbryOoom1B94tTMB9s3RUDp70k/D08kPUlTT8r18IDv7WDbXN7dvPN096Lwy/usxCxpDNWD3QAk/3TsOYXd9jRdjvcGGvOsz1Y26XHLAmpww5fN4jh8+axmmIlKzBdX/Biip+RiT0XNNywwbiy777UN9M+4xxACKlRE9FFYc1yCnjiC33ImEs6PVtn7B/w2YJbl7xUl0LM4JgZzUZsWiDtekxmFQkiLwiGqaaO+bct/Ud75L+HiX02mYATyLMQ+gT4V3HFiEDLuHxkpYqLeUIFlQJPUl/bL2yIVIKzBquBcTU5SxBumkGQg9NdUuJxbNsX5wW3CoK2SFI27SU/3+G0A8+WgkfX78m9jGgXNWW6LNwGZaObmc8Td7CYCFmvsXBR1Hp42u85jqKln0WYtnS0WhnNPFhCcIG/ojB6Z64Sg6ixjoj6DKe6p/l23VjJCIu+cOevUkw409KSHNNB0SMuYRUsjZx9F2Ky3MbotXmbojKDIS92Th9DqI9u8Ht+DdYsO8w3Ix2sZqK5U2s4QHjE3phnSKLuZlugo00l3Ki4dnNDce/WYB9h92MdIthQNv4/Rsa9x7+Ng5DceR/O1BQ98cG9Ej1VX6PM/rcMee+bVSASk5hlNBrG2tzEvo7q9C8vjv+1bTIs76+K9FGyULP+jqfditA95YiSOhNtQhqm08m+H+G0Ie5/I8kHjFB4SxPS8JyO0LSRhzFoUlNjeLCoFdLmW8xzMWE81qKpOV26BY1AkcPTUJT83kMsORYxWWKX4tsA9IQP72eXhAa6yUuniIdS26mwKuxXKmMMcFmLr7e8BjR44xkGTdWow0uhxJ6gyEs6AIoodcfcUro9cfOTG9SQq8N+EJA6JN77cSj8CFq0hkzG8xgYLe8y00GguysMPn7gndv0QilORcGTXVTQq9t5nP/z5B5eyfcdb+AICb9+IM4RP3dCA4NKoh735hPmZTQM2TeHk533XEhiMk2+ABxUX+jkUMDmKGnAH+YTx51Av8Ed+NQNOdapDCOOdjVuwqGHlVn1eQtnmTNyiZrlrkvEow5/QBK6I2LZwGURgm9/iCbc9/Wv9Ul+s2SS+gZ3emI/Thw5gW+ae2AX9q3Vx/Eo2ETZfW5/7hI/K+zUPq79ujatjyuxv4Xg8bZK2xi7HMRpxB+4y3qdOoHl45NYSVa4JpzuVmUXg6tF57AvjmqLhQKKjekT1G+/dDdNwHSvlvxyJ+XIvnsS6WAwVw8vBSB/QfO4MU3reHwS3u0VwoeYwIt//rrKZJTiAb5t83Qt/XXyLp+BefTs4nMjgVs27eCppgnaU46rsVdZzW9We3yTzajhQaXGyZ4LTb0APbeAJo4tkNbhzawlseHcYWRSPA4OYWU9y2a9W2GL1JiEZWWjSrWXWFfX9GMqr1uXi0ofRO6tVsCzD2PiLG1ySLwGb6UC+hj2xUegeNx91GhyUA49WuBn+RiEthATMnjPHyafYGU2CikZVeBdVd71C/FtPstXt6/ivTsCvjBoTPqgZQZlQaCoIKmO1sX+/fPYPFTazS10k3rXVcLvUxbXqa3zsyHP0Dk5hXrJ2R+o4sXHntuwRI7Tvv88tw6CG5zHwLHLNDVU1dCT+YONyYEV1vu+5ZhXcUK7Vr8xKtFETK/0QVejz2xZYkdd3C+PBd1gtvgvlk6yhykGJeW8ah0IhmLmzO+K7w7i78lNtyKxjiz+vpGYHTZ7tiCUTjxTzD44wY/FXj/dUxBVDZxu+FOhToEaOepecnm1n8qoELpt3jL5AgQfuRvTHD0R2adkv39P0Sp6ivgTwkkj5ORQhagCj84oHNj5liRi6zHf+GJ3Pdo9ZrLsYBaLdGxOTmsap3MPKH/SPyxU2agZvo1xF1ncjRUQX3ldUsoS+w+I29gmFROlhPhMwtblbVZvpnCPhSVBDR26ICOHZvzbnY8ji/v4ypZs1kcyKVO+rU4XOcWZv1yLfDf1IXzpyGp5oh29nJrsMJaza15HPQkmP2vv/BUtoa3xtdZ13HlfDq35vHfpjr4NfdP62BxD+hF6Lm5Ij/dwM+3MvxcZtTm2B/z9y8+QvLXE9y/yvRHcY8iQGueG+ynwa1R2vHMZ+8z+tzh+0YJvchJVngeK5GEXpq0Cp3dHmDGQaI7XbsUnpz3QZ/Oq1F6aRyipzdWXNjVEHomULXZb/URdnoGWjDkk1FLce6CyZKZecFS0ic46dUNk1KGYOuWacTH9yMeRq3AYJe9aHbgPAJFJofJiRiNet23kNTP5Mf4DDsMQZ8+PdCp009ooKD2QSyKBxPxjGhUu08NRWab2Tjwa3NuprGE/Dvu34SkrershgczDmJpz9oo9eQ8fPp0xurSSxUCKB/EHcTJkHlw33IH0gFLsOHT23g9YjEm2ZXCRXdygNleDWuuxGKygn+qBGdmdEK/fQ3ge2AZhjcuh7snFmDm8nO4nngHOUp+jIzOeffNPyFo52iC40ekbR2KthOuote+RAQLAuA5SYgM3Q5v7wBczhqAJX7vEFduHLoedcXk823kAq/E1p2DpMgo3L2rjBOzYLbGd2TjvxY0AH03foNl+1ejf/1SRLVhDyZ0mY+c+RE4Oo6bHzlJkQjd7g3vgMvIIvj4vYtDuXFdcdR1Ms632YJ7e21xK/wQAmYvwuksG8zya4XEBx2w2rc3vpNsRM8ms3F35CGc63IM4091QNDK/qh5xxftW/sAPropmTCEfn2dENSNO4a/f/wKHzOu437FiQjcMFLJbYQhrgOx8PlkrJrVEk8W2aDLzbHwq3YYqa4H4PVxKdoPPoDex5nA4AfY69wCrofZmSf3s0VAWjzM4vHBfIvr6yCkbhyO/f0jvvqYgev3K2Ji4AaMVPaPIUmZZgzaAevVgej/xREMqj8ftfwm4s7Rz7F0b1tcdukG9099cY+o2Hzc64wWroe5b0y+p2Z2bZGSbzPYZz2uVaiJKq9v448H9TAryIfMSbP6AjEsiVMBslHnS86T3psDcPAfohpEPhYpGbdKRB1JWtUd51/6I/+Yc+b7DMV2b28EXM5CmXqjELB6Kuwq3EWMsB5ZDUVQ0Ey4dm6MV2e9MX4Q842VQ6PxG7DLtztwNRTBc+dhTWKOnJgBWR+3HcDqZQuw/0598j3a4vKT3piMCRi25gMmiQqGF/rWGUPH/4tyHVbDt/d3kGzsiSaz72LkoWSs75Z3J6HTPsOTp2zbdrCo3x8Bi4ejaaUXiFk5EL3DbLD9WJBSoDG/3p1oj9CzK9C16ntc8XeEwzob7GbzJzA4huNQwGwsOp0Fm1lr4XAnBS2W+KL3dxJs7NkEs++OxKHk9ZBrcr7MRJq0ES7dFuPfOZzrHR7ux4Sf3ZA+h9832bU6GHPnrUFijk1ebBe51Tt4MgTz3LfgjpSs4Rs+xe3XI7B4kh1KXXRH+67bUW3NFcQqbCba+ieSROlF6Jm99CRC5rljyx2pbA4y860ycnB5FVE8cj+NNxa/YNKytZjX5h3CD6zGsgX7Sf9s4Nj3G/zQbykWdKqNN9dWYmB3wi08T+GQN28s4JsuDk8Re5/R5w4l9CJnV6F7rAQSej5hy6lfsOzcGRkhTfSuA9tF5VUDTFUI/R2sal4fVzz/wV5mtxJ+TLS8cy42snJmvDVtfWscSSeBNnL3zjmkPCunJMy8eYX4nmq3CTHFS2KWY/wwHxx5kKswgco1csfhM/5QOBtoOVWzm+vgU/hl2TmcERbQRG/UsV2E8iq++kLAUGVMOP0c6zrx7eXreKyg003Iom8L2PhUUbEgSoi/ba2hRyFVIPTM5tgMvu/HYM+VNfymkkNIZHW4RvTHkdcENzl4Ls+1RCvflyg3YBuRUeyDTEJMp8f0wargYSRwUde6CYwacOLa+gg+yspB7PPLUP/gbTLuQqbOy5hr2Qq+L8thwLZM7O2TiY0DpyOmzyoED+OIPxe4fBNosxbpMZMgGFY5ZZoyKNcnGOmHBHcqKQnILEvUdnphZ3Y4hoj0V2DKGoODuEZ01LnYUAkxTDXCgGgXhQ1bShQomu/pgvPE6iwvQ1l5wmk8X9cSxwcSpZ8jjRCQSAh7QzVWKnb2Kd5kFOiKxnyLY4CD1zbDhQ+C5VSgouGiQKYysLHzULwPiCX9YFooEDFeyeLtEjRoMg9/EneWOwSL0gpW3rweyed7KNB+GqmyhOCx2HRVj8IqO2KGX19yo6Thx7sDJeRL6OUIXepatG8zD487BOCY2EBJXn0koU8onh8ayN968t/bT4ruPLn7+8Hm5gy54FzmzMFJrCqLGXC+/5Eo86MnYm95o8aZGRi0rDw89yxSXEfVdl2YR8znnI4YmSQKv0522IDH0ePARQ7ouM/w61GainulhLg31cLQS0Nw4g65DeHXhNRVzdHMPQeeCopT3I3ussZymAnrnLKKC49PB7GxDjnkVqZed+yykx8PYtggh+HqrkkK7eDWNrnx57Hk/g5w600n3nDGY/pY/kaHfLFi+6dteguEvmpDtGtAbm9Ufn/i1vlUcphX4z6mdg4yBZB5WGcpfowla7QsabOwdlvB61IqlrSUU6QjCkY/9j0Cq4BEEvvCW8B0wDP/vS9vLzPZ3DGHmIW2caX/rxaBEkjoAVZ3+nfg19NPsEwwF/Effq+d2QiXZ1IqGwO3qfhXW4K4P7zkLKAXMH/EA4zdNhw1hYVA3v9VgF9KFv9KTtjfjlhxiXVQl7Cx3Kw0JF2NxqlNIVgdmcgqfZSx9VNU49B2TXbBEzW4zuNJXuc5i5uK3yu/UVVWXGxlFjr5D12Q/xpwEP8Q3XKFo4raNmVie48fMeKP9th2+ziG80BwBDibLIqPyaKYN2cFYjzgoNJBinlE57rzFkEF5R3pGUys7oj1VgFIi5+uRGj4jeeZvJVR1Rqp/JUJ7VbeOIW/K883TZthfuuXNCcL7z+vqpgUi7iMWLbyRWkvQYWEOSy54K+V0TJptjtk06zvnl50EkWR6+ms95+jqoLLGk/ySC6BS6lLwO6j5IDafEsbxMhIA+8i0lqecJWAHYF1gXgLwTtAbI//U0E5p4HSm8L3LJbQi61Y4TlyOLa3xPg4+URaggui/IFXijMTu+L6pGjFXBya4g34vzdcchMpCtG8YhopfO8dsOExcXuSLd7qfet12mfyiekRbjhqCDKq/B6ys77qDQmTJM1hzS95BgFhrBQOG3nrn1hlFG69SiNiMa9J8L3c6p65EfaW43GfrDOCElv+hL6yynrDPS9HqHXpn7Zh08tCLxTKG5gO2ypKWqqsL9zzKv2QtY13Q3ufN5d1wTPfvY+pw9RzhxJ6bbOs0Px/iST0MvSZDe/WdVxi/MLjf0e/5bFkwVJSC1GzMWSEEN/AUaeRW6YSLOo0Q1vHzujjOgi9eD/MzI32sBx/ToN2vbAp6GaFVZkxkhjM7dERxF0efUKf45CQC14boc/rPJcQ5hLj9xeP3/stR6zKh6vpap3/u9zz+fZZW5uIj2Va0lXW5/X5IXdMDa2iclOiUaKT9EevutW1SdBQ1rCAcQt2TbnDhvYgOWExVp5XmvqjD6FXu5rwspz75A5juTk5KFVZ8M/nAxsjyUaqdBti6OqUecIHi8Of6FhMDfSevwDddTnhsjUIljE5okC+65yPlVFZ8EzhDzdVjC0JmHkCPovDoXNPe8/HAi0ddXV1xYsXL9Ri+M033yA0NFRHfI34uDC38iX0Bq5vpLmcNf0oZIdeMo5NppzGu4QENBQMLzl74ezyF1ZG591+8exKrYVesNyrrPOi4BHWbmVrrpZ1QMw+k1+QvrBW2fKGBmGdkner5Nuvsn4aRRSAP1ydqwnXwACQS1S5n+rekT+h12S5l8NUl/5pGzeDCD1ZXc5MRHXH9agiy0nBHCDtEDsqXiUXh2ZCL6xRZTDqxD8k/kg3PPPb+9juF/Tc0YY5/X+zIVAyCX1uGvbPHIKxoR/Q08sX7iM74CeSYIi5ohVD6BkS8SR+Dzb/tglbzpPgT1YUuwxs/Tjf5/u8m4V67XphU1Bd2FRmwZ0N6Lbxe0QEOKqfILyrTLa864s28kx8xNP2z8SQsaH40NMLvu4j0eGnOExgLPQGEHqBuKrts4Y2MT7Cq6eMhG98DYxa7IeJTk3xz+YWarX181vU9KlbrcuNlsVfuDLOmyPmJ/TSJ/E4Szx6bGTBcMJUEdylNBEr3mrUxARWazYITiGkTMQCp8WVh8SkxHMdRXMlzXlhXFRu1/hauQPfDRPcRGhyS8q/u2JceS5fvox//vlHbUFly5ZFy5aqeSlEgGykR/i5VSafoNgcI+h6s7K8Q3GUvzm8PrUJogbtRqXxRAu+CjdvyxPS3/P1Kjn3F76LWiz0BULoddlnxJAyqwWIv78ItsI6JS98oDCyct+SUQi9sGc1JBoCEWA1BJR+8rc6BhN6XfqnbUYbSOjJdR8nTJE9Aaefr0On9xoOkKQdmgm98H/E+LbnFQ65PuHyGdwUh6dRCL0x5442zOn/mw2BkkfoWU3tn+GR3Ah+8tlX+Q9fO6FPRajffbTw6C3zh84lEfv7x3WG2+GKbBbNUQmchV79tW4SfK1tMDdV+dpWzRxgFuMplXBM5pep/IyqpVwdUT3t3g0Z4yIwvh6ns/2zRzIa8YcP7vJUTTnyf1exxBnBQi8hZTQihwjGdzGZ+MvzvoiaFq8CtdCrcxtSZwkWIWNnWgv9W+JGU5EErgKq2uQCoc8LTlSYPWqt1rnIySmFyrxLi6Dkc2XvEkxfVgVB/5gv8cpb4qtbkeuoijuUQOjVumORIDZWYlHpJkJKbis+ktsKzojPBOANh/+nvTDaMhk+3pGwmrkDG2YrBrGZbZXWs+LUUHesPpeX2F50Mdp86GUxCfnIVqq13otuAf+g4PLQmri4zENqzygMurEEFViDSXniBhGKUqOHA9vl3V8KCaHXdZ8RQ+iFuc9/u5lipEGNQugFmVL520nNY2kwodelf9qmlMGEnvHotIPV5FtsHNnMu10x88uwvBtxufq1W+iFW0Td8DQKoTfm3NGGOf1/syFQ8gg9UY0pS1RjPlcI6My73mUJPYahyR0PLmOfiqWHIUor0EI5TTRvTarEvN+I+BU2GI9zndVoMfPPRTqK8KFnF+OjGKMpJTV/9Z0m70rA+zSek7O2hw9rjoy5jDIJ70v8uZJPvGAJY98BhjW5Aw82uFe8y43gx55AynhNMhxp86Hn/LcToOxbzgUAcS433U80gV+9G2zCpHwXNSFmQWTd7NembqPjs1+uKUv8sR8Tf2xFBswFwP6jxoc+n8yRpiX0QMTospia7Y9t6yeBV5bkWi0ELioF4wpdEjapKVHZCOTVTZnrZbvYUYj3bsY+xij5xOXWQpMMEjw4pLR5Myky3+3UbPhvW0+UlmSRaExH2SB19wQNqduFuAiFmwiSq8F+Jr4MOwTGUy2DWPDH/DcEURNrs/2WEkLRsJU/LDfcIsmRzKoPadDGwB7IZPp6OhQlk+jT/A73nVZTVTzi551Ezqdah5pVHuWCLg/Dtnt3vLOZhxtMYA3/vWPOHJS+XIvweSEQVYFdmdflRtd9Jj8/aBJUWbbvPrlA3AuY8XU7BKhdp8jSFuqPh3YzOPc1oxB64tZI3EzrEjfTzsoxZuxCEQ3/sIqYMdqWHQCDCT106J+2yWUEQk8if4mbkSsiOv+KUc+kcIohlno1ehYaCb2wBhFFJdbKT97VBU9DCL3UFHNHG+b0/82GQIkl9F8rbDi8ksBRKeevWWGaFkLvhDhZsCE/dgpZWwVL+L8qaikMeWgw7S1RJozBbG0qN4LygXLgK18lq8gyGgh+JB9tr+xKQa5Lm6+CdTyjF80T+q8VCatMhYa1+FTANH0IPbFgR0+tCYdNrbBToT3E/qlG5UYg9ApuElIS4NiQkOZ0zhI06EIeoU/ytYbN3FKqKkQcBdOpbvYVTSo3jGqK03F0OZJODhJyEnTEr7Omw17y92Tyd4FQ8rctpTSngjc1oVdRruHnBlfvM+KzeYf4bBKxNV7+tLRHHAmGrsYlH4uVc/tiE0h549tDh+SUG/jC2E0R5iX0zGGr+R50OZ+n9CE/js94xZrKxHq8qnkzuCd3xLYHxzEwhfOBlZdMZZRxnK9ORDQhh8y+zG3ErbEmnciwsvy9ECZHYlUxvPDDOfkkcmbbN5hTEGu0+OAvr/bCWzNnSHmlJGEyMio3nrjRZBli/5hMDAU6/IQASakVe/vJnTX55HmxyPOvVy5Sg8uNQHBM7nLDE3rR+4yw1pPg1VvkgJJ3jCSKTfYNMO2tj4L4AavuRNYpewXVLQKChLgp9XhG3BgZg4zmdS5fv2t1wyPcOPy7ADeveBFlMeEhRtHNDut+Pi1bLw0n9KQbYvunbSoJhF7trSuzdYRhYNm+2KdO5UZWNuM3Xx2O63NgJfOlV62Y67calRt2/7sIJ/mx0gHP/Pe+vDFOK6C5kxMxAY2cd6L0r0dxe5m9iPwN2gaJ/r+xECh5hJ5NltMN085Wx4wTRHubGHwurxiDZZXGo9OewVhATtGeVvfwuZc/7O5GIcxfTg/5Nzd07ZuFhZ8MQPR31rCbvxn+Tj/g8+wkhM4ajN2/HJHTsZcgZvkoDAwsDa8DvuhhAaJNPg3DAz/FnKP7MElMXnl2kd+EJjNtcSHsHYYFLsaYNg1g8fl7pITPQl+3GDgeVtW0zwh1RstBSeh37DimvPfFqJsCeeES6HSbdhbVZ5zAAa7zGLOsEsZ32oPBC4AJnla497kX/O2uIXz7RqzcRHTWy9RDfx9PuHXpjR/ehePA6mVYsJ/o05O/jwr4DW5d+4KVuee1911P/IxNB1egu0U2Lm/2xIbkD7iy6ygyq7aEO9GXHu5Kgoo/EJ3wTn0Q8MIRIdFb0N/iKfZPHYOrnSfhX3fiN2u3EIM/PEH7gKkoe1bQ4i0Di+6e+G1EKzQVkpbI9hVO91973T8TnepwnArh+8C2aQZaEQlNTqtfinthv8JlVAIcdm3C9MZf4q/LPnAdexXdQyPg25VLQKOgQ1/GAt09f8OIVk3hwGoVsw8QTeYwrA70w0miZVy1pTu8Z7igq0N53JXp6gNVHRdiubszev/wDlEnw+DP6u2XQb3+PvB064LeQnkav3iii+zdA2OfTMP+1f1RvxxJEnVsDrr024taq8/KdPNZi5DXvwgI34dmUf3g8ZkrmvnPwP3Fadjj9Ar7J0zE9VEH1OdHKAyEnoH0sjd6jH2CaWx+gHLIfXgMc7r0w95aq3H26DieZDDWvR4I77cbZ2f9jd/6nkPzwRmYEWSDUzcXosZlX0xeZQnfMOF5ZtqSOIS7FdDevj7ngiPcoqlTqTLWyqtTOZwMqdPObzUcaHUqzEgPM2tJL3ScXw4BsaEYUpek3Lm3C65t3JG7OG/eMZXJdOgJxVxyM4XI9erSBJ5MnZ6KhPve4O6O+ED4aV8glOTdEPQAuP/hNMQV1m2iY+/auQJuy3TopSjXaDyWL3BAk2b82qWlScz3Hn4qhNcaJ/lA3L0xw6UrHMrfzctHgapwXLgc7s69SRInEvgoap8J4ww7zFrf4Qnmb/8U6/ZYY2WAE2q/uYbNE4cj8NOp2LtltuINnGydOoefV23FHEdL/Ju2GzM9rmEgWV+G1H3P6vmHkTwMfifJWs2vcy5dHVD+bp7OP1mAsHC5O5x780mg8sOBCDEsHzUQgf+OxoZlY/DT1y8Ru3AM1tX4HfsYjXVWb15uDRsVgNVTXdG5wm1sO7AdG1duUlzbyJqXp99O1jzy/G9uXZXWYU39y1/ymRmvqGs3cYDNO8DIwXF7WD8bfo1m1ueoGMSF8PiQVZ1dc/vZqO4tDCZsvNouDFGQCVUESzjItHb6Dr0nr8SYllXwdP8EdJkSgyb+EQjjc5jI3tKGp0IOlnz2PpPMHfk9UnGOsEZJ4lIMMV4Gunzq9FmDESh5hJ6FjGTRk8vyZ9WOzwLKy7yRdIOwIImOVLLFsRrc/w93op/Cwr4hSgtlkMypP7XWkAGWBAhev3KeZAslOeOs2qHFT1V5v10RY0dUNPyJssBkRtNclnHwPhiv2PJ1esFtTCfFrKpyReZlA7VGV4Go8P+vkE1V1iY+syBJdK+agZF7kQl8+uKjRC4zI/d35SA/hcynTBbASulk8byLjxbWaGRBsj5Ws+AlFklQoVz2WRmGfFAlWy6fcVVReo/JCCmUoYij9rq5TJIqngjK2XTJXBCyKn5m8RNaN7VSkIVU684g76qgVjKQzJ9qpfBKWUpQlm1QKZBUhOsD13smSPso9oSewX1mclRvhZEj+ytlPs7Dms3ea03Ubpg59UcCycCrJZthISH0bE8J+T66JxRnuI6i1ciR6K+U5Vg2vyFkNCZzm88urC3zJlOHTrdoIj5jQx9hErCNIgf6hzvTMEw5P4KhhRv4fm5aNLaHHsOT/3yGv3LRPagAACAASURBVF99AYexk9BDJfEVt7bcDh6Bvb9Ey1y8RFdNiOKJHCt0byrnasWQneTP0L5tXSULoaYsn6XxRjn7p5q1S1Ob1H7vZM2oVuqViltTXoComH2GJ6bMevGmNCyYbNSy71JE5mhZNmTl/UVNxl22v9VQ6pXy+qd5PVWHh2xvUd731ATDs1iUfqMaJK9pzVOzDnPZnnXbPzW6mwlrqkZJVw1YMIf8nq+xSi6XiDI2eS4369Fa2NcUMlKrn10a8VTbRjXtK5C5I18v8429QikNe7Do75o+aHQESiihNzqOtECKQPFFoBARelODLE1aDrvWIWil5ubL1HWrLV8ShmHD0jFzBYltsdmDQYWM0IvHhJHu64o/V6gJYBVfCH2SImAWBDKC7DUGwwoNyk/lxiyNppWWOAQooS9xQ047TBHQEYESQuiZVOy9hhyCM3EPG6ctvkVHCPV7XIKwYcPw2CMS08G43xVhQq9JL14/YOhbFAETIpCBkD728Lk3FDtSFqMtE9Rqcwx9bwbCPh9PH0roTTgktGhRCFBCLwom+hBFoAQjUAIIvfRJGCY5nUTXI0FwYXTuGbWoWV/hpHLW4wKcBpJdzhiWuxKRjNIOG09TVAk9EwPQCVEj4om7Tf6+zwUIL62KIqABAS7x07S3AUiMH4T7ZO6GuZyRE0NQeo1xNbp7HL92dsPhLCtMJLFrHi1qwpJxn6I/ikABIkAJfQGCTauiCBRFBLjETBXy0skXxU7k12Y2J8JQ3GgzEC2r8g8+iEZch0NI0S2C03jIEBWZzjPLYcehIWA9x4syodfo7248uGhJFAGjIiC5hq0bQ3Hv7f/BoscUjG7HiSGo/THBwInPFP/rW0FkwaitooVRBPJFgBJ6OkEoAhQB9QikhMHnwGVInr/Gv8wTn1ZC9Wot0W+BC6yLEWYJwWOx6apqh5q6rcH4lmayKCuThPjf0W/5Y7gGBsD5hx/y1JSK0TjQrlAEKAIUAYqA/ghQQq8/dvRNigBFgCJQMAiwbk/X9JB9LJjm0VooAhQBigBFwLwIUEJvXvxp7RQBigBFIB8EnuP8Rl+sCz6HK1nvUP57B/SYNB3LXIrTHQmdABQBigBFgCJgKAKU0BuKIH2fIkARoAhQBCgCFAGKAEWAImBGBCihNyP4tGqKAEWAIkARoAhQBCgCFAGKgKEIUEJvKIL0fYoARYAiQBGgCFAEKAIUAYqAGRGghN6M4NOqKQIUAYoARYAiQBGgCFAEKAKGIkAJvaEI0vcpAhQBigBFgCJAEaAIUAQoAmZEgBJ6M4JPq6YIUAQoAhQBigBFgCJAEaAIGIoAJfSGIkjfpwhQBCgCFAGKAEWAIkARoAiYEQFK6M0IPq2aIkARoAhQBCgCFAGKAEWAImAoApTQG4ogfZ8iQBGgCFAEKAIUAYoARYAiYEYEKKE3I/i0aooARYAiQBGgCFAEKAIUAYqAoQhQQm8ogvR9igBFgCJAEaAIUAQoAhQBioAZEaCEngFfeg9hfmdQfdpEtK5kxtGgVWtH4PUFBG6QYoBHJ1TT/jR9giJAEaAIUARMjUBuGqKvfMRPbaxRuQyzpz5BfGwmqrZohdrl1FcufXISa49+gbETW6GCzu27jm0+GWjj4YK6TH3F8WdyDAsnaNe3+SCjjQdciu3Amg53SuilSVhl74Trsy9hR29TUEQpcp5K8Pa/mgfxPxWqwYJdBYvpT5qDp5K30AzBf1ChmgW3EWj9SfEkbAy6hbvgzI7eepN6ac5TSPIfFFSzqAxRTdLaZvqAegRykRa9HaHH7uFNxVYYN7s/6mvY/CmCFAGKQGFFIAd7navD9bAUfULf4NDACkj0rgPbRemwWpiA+97NVBsuCcewTmFwObMD+m670qTlsJ8ArI+ejcbFcKEuCAwL5YwinGw5N7CYXRwH1oSgl3BCL0WSbwt0fBGAzEB7JfJGyMbxIGzafBiHbgI2jo5wGjMGg5rX0JHk5SDp0GZsO3gYu0IvI4u8Xa+rB6a6NcLXZGBfJp/GjRvXsD/qPur0WYLfV06CnSnOFSacRFqLzklCZGgYwo7vw46TdyBFZTRz88Tkrl/jZVwc7r97h/SzEUgs1QG/BizFrB71kT+vkyB8WDP8Zh2BmNmNdRwPrrU5SYewedtBHN4VistZ5A9WHTF97GC0/h7IYNr0Ih1/nE0GGg3Fb0E+6K+OaT4Ix4zRgXg5fBWCh+nXjnyxk4ZhYNm+2EfQqNqQzNPWVihPXnhyYQdO3pECZSzwi3M31Gf+KEnGkSgyv3LJXPVLwY3ZDbUOi3kfSEVI5w6YmD0TV3dXwq+NxyOu3Rbci3RDTfM2zKS1PwifgdGBLzF8VTCGFaLNKufyRkydux/fe+7Bok5mWIBM/S2ZdFRLeOFSQs4rOWFnabJW3TuA/tVSsbyJNTxuNoR3YiIWNlVi2wxhs+uGJ37pCLQ3jImnrmqOztfnIdEA407hHL2Cw7BQ9j91FZp3vo55ifof+Aplv0zcqBJN6KWX56Jhtxysf74OneTXFd5qf3F0BHaOJOSSXH2d9+mDzr7J+GrUPiQG62MZFj5QG/il3IAy38q95ov2recioeJQHEkurpOYLPyfkIUfpI//I31UmNy5uObbHq3nisRYsgu9rVaj/ZV4TDeAu6YubwJrj5vqSTAz7ksHoPuie2iz4SyOjlMk7Zkb7WE5/hxQeQqisgNhb+yPNXU5mljvQZ/EWLIpyh1xwofhE6edDHNHyo3ZkHU/9xp827fG/n6JhZ7Q5+x1RnXXBMy49BhL6kXDs9tU3BmxB3uVMDY2pAVRXkKwDySdF6C7yskkExvtLcFNmShkEyNCYflFT60ChzU5QIcNeBw9TsdDVSZO+ESi2oLRsNWzQyb/lvRsV9F9zfAxEd336Kmo4rAG33onInFhU5TJ3Ah7y/FI6LsP9w70V7pFleLy3IbolumPdELCK4uuRMOD0suY27AbMv3TyQ27waUZ2hrjvV+QGBqv1TqXJI32JMa98xgadgkeChc5Rp4nOresaL5Qggl9BtlcG2BF21iVK0GG5A3+uANXvOQJnAS7etfC0KNAr52PED5EVytW/oSeOB3izMTqcFyfg8oTTuP5uk56WZ4L9zTMj9AzLSeLs2Ur+GaWIVe3z8nVbX4LNIdXzxfr8PzQQL03hnwJPQsmt7C08n2DoUeSFd2yGB/Hs5fx1qor7E3hK8IQeq9vcS58iGL/NBF6prXk/yqFueAfslkW5h9HIB1x8J+9cDHMSFfIusmQ9p54vUb10M7OpifxOHv5Lay62hcu9yLGB/pkOiq07IjmNXQdkGhMrbINDtnKh3QdhsbU35IOTSkejxphTEQCcXmuJVkfLRGUEYOJ35Hbz129UWXodUw8cxNBHZXWcMYQU8sbP8XehzpPHJFVKjzG1uf9ExLue0ONc48+RZr9nYLGUHyHcxA26hfcGJ6CxW3Fv6XpSW4faIINj6MxTtkAkkPmShUyVxKMN1cMb3HhLqHkEvpEb9SxPYKxKtbyJPhat8ehHz2wdK0H5G+fpWEDUZZYHfSzYmkj9IBALlUsr4V7DunQOm2EXoqwgWXBQFxm1An8E9wt/7LJDYtlq/PwSI/BJOIqo89PO6EnpebshXN1Vxz+nNwspBPSUlCGIELOm9zxULW250PocYdcVS75HvGFnNCHD/sETjvV3dToM4qF6B12rixDy0T1hL4QtdR4TWHX0gz4q9y6Ga8KWpKOCBTYmHBGmDUtBGt8DjF8VcHQdG8kJi6EsrcN6xd+ZKzizaKOXVN5nCV+U2Fx+jnWKVy1G1qwud43A4aiu8rxmJRF/yPGLdEvaXiQN+BVXIKbKV5orDqw7FyaalFcDZyG4qf6fokl9CyRW9sdlx4vQUsFXBjLhgOY22fbgDTET6+X97/XFuGHZt64Z7UA8fcX6Xi9rJ3Qc5aOzBJsoc8j9OJcErixSln6GNEqx3txH4soQk+s9OHDKhECKkWbtemI0ff0IK5JeU+ddke3jHGIGC83B5n/zY/Q4zTcu2VgXMR4KL2la+0mfb54EnouJsdmLtS61ZkUULMVLiGH8B/JIbyHGjc6szWqhFdcgGPCugWuRRvBGs/702cEZCCGMdcr/BLhXccWIQMu4fESxV3XsAHjXNmm1TiC14Rl6nq/ZFjdJnjbLBiK7YcRCT3vVnQjH/dD1hVvWg0ceU0MaUV+YMVirP9zRYDQk+DU/cvhsWo7bj5nOlodv8z6DYtHOGiUw9IOB+/L+vVB/LPXRWUByE2Lxsn0CmjZsTnkb59NaaFnIvbtfvbQ4ENPlF3OB2POomP45EdLfHxyHS/QDZNWeuVJO2WegM/icCSSINubzxvAM3IrrM/6YVtaaXz24DgSKk/AsqWj0Y7tEONfuRjhick4zYDqvAkPAxxlf999Pg5x6e/QwDMyj0wy0p5eM7H1pQV+blQbH+5eQ4b0HS5kOCAqdrpI8qjFQi89g4nVHbE+pyqmRGWKCJjiLRnEKz9b2S1F+yRgnxBH6OVuT3rxdSUEY+ymY0g+fRPP4YxNDwPAICj8pE/OI3jOIpwsY4Nv393G1SffwSt4pfrgWpFtlT2WL6HnxlYYQ+dNV+B8bz7WXpTg0aM68Dniz986cXPKZ/1F/L+KFfHufhweWcjPEa62hOCx2BSdjri4dLwj8+TOhLfwW3wWWd++w/XTz9DCMwg+/eWDmCWICfLAb1GlYNvyB5R+eA033n8KyZEymPsqGN1Y3K7iQfRmnE23Qscx9mC2/Rq952MB73Sem7YfC34NwYMalvjq9X1cf1sXI+b5YJIsWjwBwWM34Zgw10+sRtWdHjhw9z0e/a8PNu4dhw87FdudOvYVFnsdQ+4PUGg3WVyw2Jc4tZP+xMS8gcP0lfByqau4JjCxFMQvfv3F/4eKFd/hftwjWExYhqWj28nWBzbIeoU3fHYlI5cJ+u7bF03Zm5wa6D2f86dnsTym/M3lDb7Yfkenc9+n86Y7mPDWD4vPZpHmX8fpZy3gqSmAO585lnnCB4t3n+fGuIEnImWHQSnuhXlh5taXsPi5EWp/uItrGVK8u5ABh6hYOP21Dms9fRF08Sk58uaNJfAzGWMd/Ok1fEtsu8ITuW+MaddWa5z124a00p/hwfEEYvhQHAPGPS6/9spsM8S96HjQEgRc+AINS1/HvaqumOyQic27c1GvdCTW/WcpMsm+wA4feXb/gl8R8vR7WJV9gZup/0OvlWswrZ0gjqBlvvO4M2O72OsQnlWviP8j63fSu7YqY6X8rekzZx/EGWlMlNeyxQE4+dESlYmhy8lvJexu/QqXm8MQWo3ckq7viJtXiIWV2VoYf/q+L7H5NnGlU/ZK5QlcjSP5WHclMQiavxbXynyKp/e+x7RgLzR9GIz529JQ5X9ZePjDKKxWI1mc5GsNmw291RjodF1cC+h5Zl4tn4+Q5G9Qt/RfqDl5FaZV3IMey6phx+jLaGgGDMX13FBCz63dV5nKHkRj89l01Gw3HF1+KM1sApi/oLti/E6SL6xtNqA3E2tlzDOguM4WuacKOaEnaiajm2HAFmbDUPyVsV2CuD/Ix66XzF0ERpftjssLbiKF+MmL+wnSXIb60DfE3PMRGFubr/X9U1zZuwTTf7+FeqOWIchHWbpPgjNT26HnBVfExZIrTL6/kpjZ6NzxHJz+OA3vlrwPCCEe+4c3xoB95WHbujH6rNkHL/YF/nbg3UI5P0NC6PYPR+MB+5Az9Aj+J7s/y8XDzYNQf+xR1JeppUjJOl0TYyscRSr5qriDMnl/a3/UWd0GifKBmfmCmQ+hz32IY3O6oN+md3AKPoftQ5RIlYZy2VsN4rqhetMiblTFEnqZVbyml6wuac4xTLLqhS05iq4j3OFsGax2JGF7f27jlxB3rR8Hp8PzaozhUlz5EnqWheDhOhd8NykSbTr0wffjA+HxtA+s3RNkt05SsvE2XNkAxw+M5325eateNLG0KgVl55KbqTbkZuqmjS2623piQ5ALS2RzSDusnPajvVy8QwaxqDSOcEM6OWAJ+3kumas2v7xQcMngLPTKAeLEwr2xFzrOqYy1SdvRnz9NS+9tRf8WHvjPuiskroK3+hEp1Kg5Nui4qiI6dLBAu5WH0Hzdl+i+BRh14h8w3lra2v2L1wz8V9JU1h8J8cWtNfQShpy4Q94X/KqYud8QKxscx4Hx/MFFQtSHfuyL6B5HkKykrqG+X8JcJBK2xybBqtcWpW9Oh36Tsb22qA2aeZNAbtvusPXcgCAXZo7lkClqBaf97RH6/BDyDT9R82nk3lqBzg1nI1Yu0JqZIzXHVsDRVHKLyVvHpE/IWNRZjTYylyLh5tEw9ymN39KT/RjeeAD2lbdF68Z9sGYfv+azlmEPvJOTRRTVXlZh5Wcs+DYYj9g5ys/7CAdWoaXdvSBslzhiGnOoY6QVGzkhaVIiYkmwJ7OSSgnBaGHzOxrz8TSi5nsGCRLtlYJ559bAviq3drI3OT6fwk9pPTDOnDXOmLArybXlcGy7Elbbr2EzM8+Yud9uGmIePoXd7n+wt8sbPH7/OSyr8hsTI1H8J/CVOsnfiNEo2z0BPmpEIdgpyeA9LBZjd5D1kywe7Nq+73M0spqCg0e74lzXBiSgvL7a2y/O2PZSvS+2uK2gwJ6SPgnDpJbDcXPiBfzhReYVmZO+RPVn3aOn+OJXwklm1DQLhuIAMJTQ59WSr/+8bMnklN5ebtD/Fl5cv4rHU4Wa0HOEYSfZqtT/rGZdxM3ldlokDtW8y/rcDcVbHSYJq4jTyhcvHLcgiUjr6e6ynSdDpUDoSfPeP72CvUvmIvivFpizbClGy6w/hDSRRbBe90Poq+IfyLuBnBqLqEyisMJvuAJBVQ6s5T4eS8XFkN8UbyoQeob/c5sleZj33+Z83RIXvcCpkXJmF0ZWsUU65utM6BthwKK+aMAMzftHuHo5HZI/pfjWZSzmjRmkU1Ae19/Gel/360zoFRR61GycrOoCCeyF/OGJ6SiHob9tqEFBvOxs1kro88bwphXfDibo8Nor1GnKJX5JWFgHzX3SFd3K2JgEX9RR+S6Eg1gbrJWPV+Atbudk84e7MfGqdxH3yHeZd0PKxKWsRMOUvKBJtcSXkSpr5o4yRLFC2a2JHacFVbDhFgmeEj4+HocyfXhMidXrUlJZNG5Vm18TtLQbvbAzOxxDBO7Oz/s0hfiNBCys0xw+6bYISCOKSrwfE+ceV0eFQORP6OXGRf6b07PfxP8L6TGTZGuRoBQzND8LqMZ9i8dKjtCzfUxchBenRsoplTBucS2QPl+IETAWedRUjvD3ypigsAbyrpGWeUpPYtrLBRseJcIG2UTYgB94XqXFUkHulRdBiOymdEDibwVTme9qGm6LmO+vQ53xxaDDinFB/B50UcXdwBhz1khjwgawEmPJ2CgFWWdujnfQmTzfIRKT9d2/VfzmZPORETmwwx/DYogllls5WKv73Gf8uL9HtL8H9n7sh8XqkgqyYxiNmTdTINpGx9edsMYBI8ia805HTle++SKEHRgu8naaL5zfH/wtN+AWUZMSljJuH3pMbqazyc205oaYFENR/TcWodfmPy80hvvOo2fqYnyVDSwcRhA1Jd0HFovCDmB4YfZZ1TBWhZjQ5/lTa5xnxI3ktLLkpJhJyW/cjcVufMJHWNkPV4m1UT/5aG0+9Iy2eiOyUL5H64A4RE9nFHYEmTsl4sH3Ud3mJBDUAQeJ9UROPoT7u5Jvr2hCn0k0w+ti1PnaGLV+K2Y61sd3rAVGgmvxb9CwuThrOmGi+chWihk41Wc4y0ya3j7LYgm9gDUaygfwqNk4eXJQ3kvZT5Sfz0dG4cQ/xPVEv+5yb+lA6B9r8E+U3guD74okNJ4l57bFz4dn7ufx0l9ewoAfN4W+sw3hxlOOnF6Y8TXaBQCOC0OwzK0FfrCsSsg1cYWIT0XF5k1lxFAd8eUOneXhpe56lT9skP/M87/lceig8WCupd3KEo1qvwfGjcMXK5IaY5ZXXlZKbt48g/v5l5CHSh9Cr2+/Gy5R2uR4PIxF6DNDOqPuqPOoPWo9ts50RP3vuORvkmvxeNOwOZ+h00jkUbhFvKls6RfKH6CkiMT/HXmEXkx7he9dASN14y4cVgUXO7nvlSOan7EHvGabRMx3xo3E7xBxbfSQcxvj5yYxED0jBqLqsvKNMWeNMSbCjbSt4iEezOHcBnOhKZBR88KWv/HlEnxG3MaQbYKxjD84RZL5IMZ/Wtc93ZD114B3uWRR2UqHU4HrKM9x1YpMiqGofhmJ0Ivwn+eaw8/lxvJeBKIaWiIfKsSE/g5WNa8P4iWQz0/7B6D2ZZ0+fo5oj5Esxtmj4/Qk83IT86Z6HXq2nRlBsLOajNgyxPrBWiK1EGDBQilnUVS7YTGfhUGEnlwS39uF4R1GY99T3vmpTCXU7eqFkA2zyfWonF+cAuB5/sM8EzU6oefIbZLJCT23iaeiDCGveYFXqhungH+5WrawVcp5nvvnQ5JYbCh2pCyGQYpfOhD6vFsWNV8CuR5PiQ3FgeCjiPrLAnb1HiJkTTS+VUlMpWq9VRhPeWszIS/ezl2wKI5kuGJ/JClWy6FYv+N3hVTeqsRXy4FXIF22AUiL52M2tBJYHdrNfqLczZTKjRX5L2lOCmJDDyD4aBT+srBDvYchWBP9rcq8053Q699vlQRiWvHIby1VgxWJm9k1vANG7xNcHsugUt2u8ArZgNmyeAZjkEf59VETodfwdzlCTxYp7e1VY41npV6J61g3ealc4Rur2hDtGnylANy/r57h6SsbLLpIrHilxc131g3uUgT2H9iFUxfLomHPT3B+4T4kK9+OCodk5RwTag7PHN9RN2eNMCbCgUa5HaKJmOpc0+02lXOL3dJZZHyUTnu6ubgef6v0XvmQwv+9ifYcECbFUA6W53sGoZVXnBqgPuLVi6f4WLEWvvpczX+XJ/Fkl0g8WYX8MRYMZMqGRzWzhktSRgm9qElbiAk9E1/DJzvR1BUVi6GoPssWQe0Wes6Hf9KH1bi8mfMb1v+nzULPlCzosDN++syV8IX8CbCw6chtCqYi9Fy/c5F1/QpOnDmOw4d3IYqkWP1oy9xa2OPqFD7QRQEg0xN6zkKfruAOocsYibPQCzclyvr4mgm9SbO1GoHQS5M2wqXbNJytPgMnDnjBgTl8qLhaCUjqSIyJRT4n/RriIk9hd1goImLv4bVSwjS9Cb08wdBKYHVstwYLfdJGF3SbdhbVZ5zAAS8uGF/tAZnApdIvxqf4TWlYCD7GKnWIJPRq+m1yQs8Pf27WdVw5cQbHD5Ns10w24o+2cr7fashjbhaefqgIC8acL/qnzeVGBKEX1d4n2OxA4oGSh+Lgtc1wqZzKJmP7veY2XCH5LGS6LGrWVs1d0TLfJWcwo1MfBLxwREj0FgyyZm43VW+3uPKNMWcNHxNBAKKm0k2j8HftREwNNdPFPZK/kasiNus1+10tgC0fPyN62hXkg2yA51ykKt/68H+H8o2bmrbpROh1xVAUFsax0Ivyn2fbw9W3wFaEjLWo9hfvhwo1oQfvW5qgHBHLj0nnECWfbtFjxS2at5VlKRXeJ4FLy+3hdHc2Lilkhj2NKW1uYEwscb0RXV/exPTIz0LP+KSTAJB9ZLnnAvuEhVm9v6LgMysvpWgUQs8vMKVkiymxlnx9CoNeKmZDZQM9+x6Bs+hF1PguNzotcBoXSA2ZYoXnhZsTG3LNLKg5yC02HvJuArwF8L0YHX2d5o/cw4YSeimxCNUk0qwfyQ2XvBqFPKEf819E3q6Azq0ZiiOWZDC3ahPw+SHFJCFcIOFcfCr3vakSekEa9HP1fqQ8ruSuOi/pWgEQejbQkmTB/DjgIG4T5RMhgkSe0I/5byRuV+gMBiqVfjGY+tXDDSHoXIXQ699vUxP6iNFf49Sgl4o+vXxA8BFnYYNVQx415U/Id74bTuhFtZfJE+D4GPN22iLp6HHiQNIYDr+0R3tZ3AXfSMFCLX8jpNJ+MfP9UzaBIRPMueTmFeLfLRxy5Al9Y3L4fYsfOzcmyjpivzW+MWIt9DqOiSbXTfFETHWwOavsW1G+95yvuETR/S41FBslXTDOXk0iEANuai/5NIVrSLbuq7HlFIRfmAEbsW/y65Wyqxy3j9/Q6j/PVGNSDEX1wxiEXtV/Xpq0A7tf9YFbW2XTPvc9JIk92Mn34ZIPmrqGQPeRtcSU8AuYIXpgRQFXIA8VbkJPIJCEj0azAVsgeHpwqJSBrddZHF9ip5RWWixm3ITaSRQtNOnhMvV2P9YTJxTIPCmfWUAXWxFlGlW5y/xr126h51Q2jkJadYos0JX7W6TidTBbEU8E9nfGzkcksI9nGjoReiYJUX13JChd+wrXYXmEgfmoRqK8SmAu8/cBKG0yQk+UdOLP4u5nrdGGtWqp/tgNJnqmhsQU2ueDVgs9r4rhkdxIRZFC5t8nT+g1BsUyQ0bmnd0eOMQrHoy0t1LpCUMJvUACCEmVl23lXA92cupG3U/IEVGxJIOb40fHKAe1cn8/MDwvr4M61xQh8BxyyiVCz7lxekc2+FRZ0JwQS6DZZ1xsuzWTI/XERiDhnOJG9xNN4FfvBptohXPNKpXnikMOM1322eOUoLmmhoDp229TE3pmjEaWV03qwvx9QGmB0Av+v3kWdMaK2//v9XlBp6ImuOGEXlR7Gfy7/om194iSSr4XCJqCYpnOMP83DLlrA/C6p7b5nsbdsirfJivMA2BYkzvwYMUFDJ+zzN7AJejTf0yEPUDh25ISha66v2AF8pS+RA2t8FB+gauSazhx8Tmq/9IdTasJN6LyLrVc0GzsqHi1GWa59kJDwK1OrTTdw2ot5hJs7fIN3CLVx8mpNMaEGIrruBEIvYrbFvM9ueL1qmjVBJF88DgZWB3XE3G9KW5PFXpCz1JXU9ufNAAAIABJREFU3n91743nKF+nE/r174ZWSv7Jug0Mv+D9rd4/jztE7MWHb76CspvYx1cv8MXsqzrIXfItExbDzIbEUqMUic/4MofPQt9hW3CnVGv4XTiN2TI9Tj5YNq4fzsQGoSNP3DnZyj2w3ZeI4N55yjOCr7filagUMbPr4pcVwKyL94hsm7CTcYk+FtUJyVOyYEjnT+3hf1uKz2XWUG6T2c+61+QFBbNEpJcEgXdIkKeY7KmSrejyjRuImKJSoJWG0bu5BA2azMNtaFJU4BOKfK/vdZyASyaJdVWOomd8XvfDb9wUbM1uj9URYRinEg3NB4ilKsZycLKVCwCfqwR3JriZIwExc52x2HInImUyLbrNWuFpydYu+MYtEmioPhsj+82cmYjqjuvxrXciEonkngJ3ETLf1iAbsyBJKL2LoF72WBT/FG+IHOPrmaloEdgENxj9R+HmSJmUCOPZWZg/PCl7RoiEvPQlo5ZhtRrtrxCVmIZs63jCofwtMLdidvh5QQUEJJ/ExLq8QCorWzkFf84XgsU5JDKC7GA1OZYQl3c40F+Nfq3odvPIClficgednL3OqO56GDWI64Eg2Sq9G4Re9osQ//QNehx5jZmpLRDY5AYrlSlY9Jvyt4cZQfaY+WUYkdvkPxA1dbAyhjr0W3B7UJ6zwrzQ6+ZSDVbsoWu/vHsNM3SMilMvSALzpD0Z6cYG4+9jKru2IF/ipXnGq/+WyBGJC8JU+sYgI5ezcJEn56Lay99OhZS3R6+OVigvNKh6E/Tu0k3RUs/LVp7qIi9PSoKkd7nC5epkxAdWw2rGvzff+c6vsU8IYZMZXnIJRq0w+GAyyedAgnqvWGGx3WPy7ZHYECPMWfbbMHRM+DXipUxxShBtyIK4pH9qRjofchYxuiwrOduHxDGENliPrh1/R1yWPXb/Q/TsmUBsYmzodGwgyQfRjcsPoPRjDTsXPI2bgVa/5Tmft7i5EOgoHJL5794jAVLlAH1NpZgQQ3HdNQKh5w2J//JWd0nYMAxLn4mjsr1SriXsAeYCPDVJnYprdIl5qkgQelOMBnuin2qhRiUnGh4/uGHfB821OvhfxxYXMQyWXVqxe7Qbfr9MAiIF+aTyVVH7K4GA/ItXz0iQSc3WcBkyBSP7t1KTMItJrrUAv664jgo/1SHJPW4hIVspiUzGbowesBRn8ypB1dqD4B9SCzvk/176C1i0nYWdwYNZySxG7eTXYdMQX3kU+rfPRmwssRZNqI7FXecirZIF6tTtgjn7nHGu8UJUW9MPD46loGbLlvgy8yyiH3+HMSt9FYId1aLGtM1tHRJIP18JuDLt+NYWE0OCMViTBiixjq/qQXTey8/BHpIsSIVPsxn1BgD7XhPrqC7+umRUdo+G27oEPHv6ClyTyhO8vuLlDnPx58MsVLBxRp8xbhjTiZN6lP8x7w9dcYEEx3Fvl/7CAiMCY+HFR7tyiaU8seL+13BuVZ+Ul4aqg1fCVzlpkdjJfcEX7RecBv59Jddmptn8XHL0IZrGTOXMfBuApSTZEDfdSuMLi29hOzEEwXJAM4luZo6cjLDczpg5vikenY1HLfdVGP73cjiNicTf9XtgxfZlKLOlDaZuyxs3pp9tZ+3EsEdDFf5evmptDPLfiM9m/ILrI/1Q6ewx/N2oI5riAo5eKYue8/w4hQ+mHzP24KEwT1XmgZBEbRvefPMTuYF7jITHVTFqibyc6wX4tpmKbUpj18fnDxn+F3x1aXcIau0YihUX8vrJ9Ycpj/n2ZmLk5DDkdp6J8U0f4Wx8LbivGo6/lzthTOTfqN9jBbYv68TfFhKd+KAh6LsoHY2cvsO7rN4IPOxGLK/MuMjXwYzLCATGevEB0vr0mymjLWbtHIZHQ5XxIN8+ydMhJvj6gm97zNiTtz6Vr9qRfPPBqOxbHgurrUG/B8eQUrMlWn6ZibPRj/HdGKV5TCRRT3o5Yfjhz9GxJUkiZjkXB5fZqyVe6qa7pm9pYOZoDFhKkpjJr5uD/BFSa4fC34U56Xyusfb2Ekvw5mmDsDSrKTpaCXT+HdL/iEDsvdco1ToAcdHT89YaNrHUJPiQ83MbRxv89+FDfHRwh98k5naYcbnRMt+ZNZasBaunjMHKm99g6MyB+PzsWbwa7IdldaMxhPTnwRe2mLBuK348bq/Dt5bfnGUrNWhMmHGSnJmB7pPuoMevbYkSzw3UrpcNnxWR6Ky3tZQzwMyxjkK2kjajJHwCui/+FwPdvsLZc2Uxb9VgPJzTHb+X+RVuX0USI9B4BC3qqiGOjSOZa7sbOwOt2MVZ/HNM7NLAvpvx5a9u+CoyErktquHc3M14o6KKpqlMU2Eotg9GIPREiDzasx2coxzg5fAEt6pMg99s9d4W7A3p2u5655kR26vi8lyJJfRgLRAT8c2x51jXSTcyWFwGv6j3g3URGVkex/SRLi3qnaftpwhQBHRDgLfOXyDJe64QsXLlVZ9L6rQU1bbcQ6QbSe1LfwoIGOI/LxTE3nhN/Ma4azYb47QKHRPuq3XHKczDqIv/vEkxFA2SMQi92MoyEGRnhVUdE3Dfu5nYl0r0cyWX0JNrbib7abcngYYn+inRU8hcned0kuc1jqUfu7mGgNZLEShKCLB+63swSOP1PUdW9gwSEuoVpc6Zuq28O122nv7zQvPYQ1VffNxtPEMao+3e5ro3n/nX1DgYs3whFofEwcknuNNWhQkw1Fal/P8/iDuI59X7siIAJv0leqNOm+vwlosRNGl9xaDwEkzoyejlEJcNkkmz/h/y6gPFYFRLQBd09t8vAZjQLlIEKAL5ICBY6CclIpbElShHXXBqTL+jbVQmUfaht7YKSPKBjHFGUO9i1dEWN8VF0RnG8xlTlficovQF8PrzVnK5NUQ236gYiqyzYB9jAmWtsLr9FcRzgVf0JwKBkk3oCUBMsE2z36wRoXcGWBEo00eMiwCjPGM/BLn+8VjEpwk3bgW0NIoARaBYIsBkbZ05C+uftcZE976wb2QBPE1G9MEArIusiGEb5JNmFUsEdOtUTjT8PfbiwuU9OJqcizL1umJY264Y4j8FKgqDoktmAmyb4TfrCDnRANEvyz1orHL0qduQd1IR6r4axxIicOgiSdpWtSVcndrCeYYf+tYTW25R7bu4/lFeJg4n5adKPKFnFCZY1YLTw3GG6M7l6cXoByh9y9QIMAtZJ4S5nCGBsHS0TI02LZ8iUDwRIEnyHv+Fv/nOffalJYTcX8Wzv4WsV8Qos7HXEMRO1Hcd5/LETHjth0N6y1cXMkx0bY7BGOpaYcE8z6jE2U94Db9DS0gW+oKps7jUQgk9O5Ik09/TP4GvLFTUTIrLQBebfihn3iw2HaMdoQhQBCgCJQgBZi1nt131OUbyR4IcyJ5+QEW93i1GGBuEYeHEITfrKT5UpFxMn9GhhF4f1Og7FAGKAEWAIkARoAhQBCgCFIFCggAl9IVkIGgzKAIUAYoARYAiQBEoJAhIzmCG0yT85X4e2/pVLySNUmrG8wMY0S4AXwYdgX8n6p9SOAep4FpFCX3BYU1roghQBCgCFAGKAEWgsCNAsgSPbjYAR+33IbmQx9axmclbh6DV4fMIpKS+sM8sk7aPEnqTwksLpwhQBCgCFAGKAEWgyCDAqKjZ/YwF8MHVIqJ+x8pYDk6H59UYzFZJqV5kkKcNNRABSugNBJC+ThGgCFAEKAIUAYpAcUCAqOf4toCNTy3sNHJCI+mTeCT93RjN65oix4EEYQN/RN+0mbh5xQuU0xeHuah7Hyih1x0z+gZFgCJAEaAIUAQoAsUMATZhYSt/WG64hehx3xuxd0xm85rY3z8ThwZWNmK5ckUxSbZqDUXqjEtIXdISpjg2mKbhtFRjIUAJvbGQpOVQBCgCFAGKAEWAIlBEEchAkJ0VJr/wwqXUJRCds/BBHA6ej0F4gA8ONNiOrL0uqKCMQM5eONe7gAmZ69DJhEw70bsObBeVh1/KDcymCVaL6DzUv9mU0OuPHX2TIkARoAhQBCgCFIFigEAOyRpv5bQf7UOf62VFDx/2CZzeheLNoYEqhD4jyA62d3yQHWhvWqSYg0N1V/zR/wjSSTCvie4CTNsHWrreCFBCrzd09EWKAEWAIkARoAhQBIo+Arx1/tYEnH6unxVdM6FPxfImvfF+y314N+ORIgmhUsJ/R8i7Xljk1izvAJCbhv3+W5CKz/EeteE6biSa6qRGKcWZidXhuL4B1qbHYJIxvYaK/iAX+x5QQl/sh5h2kCJAEaAIUAQoAhQBjQgkeqOO7SJkT4nS24qukdAzZU+ritMxk8Dya8ZFJ/EZ4n/vh+Vfy1v0M7DRvjEi3NIRPqQaGOWaRsta4Fz8dOjkPUPiACxb+aL0wgTcl50g6NiXBAQooTdglKVJG+Hi9ScWhc5FMxWnOQMKNvhVEqm/0QVefy5C6Fy507/B5RZ0ATmI9uyLrdYbEDykrtogn5xoT/Tdao0NwUNgEvGAgu4ySWYytd8OtNuzEy41CrryIl5fagj6zHuMGRu8YaeTVauI95s2nyJAETAIAc73PBtTorKhr1eMekLPWcwXNUxAjJK5XOX51OVoYn0KEzOjMZZZ+zM3wt5yNRxu3MJcG126F42pVRywpspCJNz3hnApoEsJ9NmiiQAl9PqOG0k8MaxTGFzO7EDvfMhD7sMobJu/BJuzvsTPlh9w64+/8N2cQGwYVIoE4MxCpUORGFdT30aof09CfAE7hbngTCFPiCGu14wcVzuEu57HDg1AM5aMduGuOF/U+8voH9tPANZH56slLM1JQfhvMxF4pQwsG5RDdkIa/u25BNu9miJxTDtEjUjTe1MSNyYmeCr3IaK2zceSzVn48mdLfLj1B/76bg4CNwxCKeJ/OqvSIUSK+FCkSb6wG1UKWwqpfrQ0JwcfK1dGORNAKCvSSFga1kQpcnI+onJlk/ZUYxMzT/hgcfgTvEuPQ1yZyYiMGI96hnWo2LydEDwWm67CCNiQMU4Jx28zA3GljCUalMtGQtq/6LlkO7yaJmJMuyiMSAuEib3GjTAujEuMNTzShuLIa7Kf6xm0qpbQS89gYs31aHvnEJTFbVSeJ/v2J07vEPqGPMsaCAnH+MQJ70LfEJ9+3SyGEaPLovuW+jQ41gizoygVQQm9PqPFJp7oiGueydjroonNS3Fv13B08PyAxWd3YmR9YWOTIGZ2Dwzc8whP/28MLj0m0fT6tEHDO2zWuI7X4Jm8FxqbZsT6jFmUNOcpJO8/RzWLyorWeEaOy2o12l+Jx3S1d48S7OpthdXtryBe/QPGbKaJypIgfFgjLKx/Fle8GmuUHJPEeMO5xwm0Dz+MBe1q8M+Ruba1P3rOT8TDp80QnB2OIUUoGkp6bxeGd/DEh8VnsXNkfRnZlRBS3mPgHjx6+n8Yc+kxiBKb3I+QiacSvP+8Giwqy+/AUlye2xC9JIG4E9ytUAWF5ZCDZ82++/DRNgCJul6ji5x1+mEpsnDRj+WQQ3hN9N33EbYBieb5JomP8tNbWzCg6SzE2vgh5cZs3dwWRPe1CD6Ym4XHN9ehVxtv3NQbG7KPeTujx4n2CD+8AO1q8N+g9B629u+J+YkP8bRZMLLDhyh+g0zdfwFfWlY17aFWl2FhLeHjca7XTtX2iimH7dMT7B/UFLOwAtf2uKJ2NQswy1LOXmfUjBiOv4ixSfmcYEpCn/P/2zvzwJiuvo9/37dVFC2KFg8tqYqKpfbG2tjapASJLY2l9qXWRFMh1tqFUruotlGExB6Eil2oWBKh8WhoxdLwVLQaNarv8567JTN37p25M3MnM+E3fzG5c865n3Puud9zzm9Z54/SvXbgvRXXWfhNnXcMtTCha1xCgAS9HdivrvTB29EBuCTZxCmUYUgciUq+aZicugfD35I9yga28n65EzYFx+MREx36fTgbvLcRHXDJ7HhPvzoUSmIT2s3HL8mEla01ZrK2V8aQtLE4fCcSLWQ/vzi3LuofD8Uv7AWhuITijivrH0eozslAbL0Le6/nx0vgE3xnySHrKnvxvB0Bz53XsKytfOdT3GUqtADpTCw6fTdSlz5ntAzseLiSL9Imp2LP8LdkLz0DW+S8jE6bghH/KAomT4r4Ek4bexh3ImWjJZs9Xx4h7EV6kS0C7Nxus7cjLfzOkBgCD98FuN9yDVIT+gn2tLkf1ua6lxHmiPC0l6Xu92pAYogHfBfcR8s1qUjo5yrPPPGZAAl68y4Wdn+j7RT0/DswwhM7rzEHUrOpiDMdCUOhBelsMWc6EyWOLI3WXzbEmlsJ6Fde94FnX4H8zng0as5IQRrbTLH5wwv6v4x+9hxK8IKee6fVQcr422y+Np+HzAQ9b/uehImSyU0228gqHQ4vs80MDS1kJ5VedSbgYvdYPGJhNN1nFtTQdrrEbgIk6G1FJ740byy2FNpK8JgPqboNvyuszMF82LkjvuOh95jzi35bqcIi4gYW3zY/3rP1Nm25/vLChvA8NxH/Zfdq94efvHohoZcKM17AzUOLZKNIASaVCQuCeS0KoiOQsBCb1+K4BScmMXrBic9Udxu5F8SISkm4brqVbXeXWPqhLn3OKuDCuXmEVFU96uYWcl5sISff6RN2oBLQa9vvzBTL/HXFCQffG8twm4WQ0+8JcwpKoVDuBdz7ecQ4IOjtZenEu3Jx0STo1TvAAUHPmZGUb4cTn6XhvGKwc67sEahkJkRPYkLldzGztHstsFJneqHOhIvoHvuInbjrKH2vLkWzVrcwX+UU3txE5wymvNkWVyMz2JxWCob9w1C+VzHs+HUemtn6JBni0KNIIGJqzkBKGssca+vv6foCSYAEvY3dZmCr+Zc7/W7ZrEEUp7/MUZvwuBdNXxSKYSYkum2liruZvyscc9p4j7ZezouutKmOCfrdA1DEbw28VY8IBcE+3nMfbi9rq7jjkMl2jSqP97Q77Jit963b9bwz1BL4WdyJEV+Grbapct7euwh29ngEXQ99VG5Slz5HNjOVKo1ev6i/4Ll6+haKMdvpE2xEvbHieqKyDwpb3JZufRbTC0joNt4pb9sgB0xD7Gep2zh2u4JI0DtF0ItRVFpt+y8Tnko1MEFfZCd6yE/VLi9EQ8+xyHAgkowzhhgvrKMrIdyenXALDeKe6e6IMd+kSYvDtC1nkH3jP8gp9DLKv/omfAYORkt2YmG4Eofw0M14XL8srh16go9XfoEAu6I9iO+LzO6IfcTMb3VcpzijD6hMfQiQoOdsLbMe4J+ir6ByWXZ2yP3/jxdQkfu3wocXElcX4XriYKhapomCfkcdtjo+xVbHZg9TNjty/xEl2nujij79yErZjQFF/HB1kRWbOfF48LkSebbHOXev47e/itpt16iHuDs5oTLenVnaohMPX8/sFjhwT8XRihfGs9HCgUgFunWHcUFy5jJzFX63e/q76vfFlyVO0H+yCfpHZf+IaycS8KBGe9SWb0m7aZ8zC1NB0O+ogxkppxBu/qAgOzUBP5ZoD2+TB0XDTp9o1nbD2vOgqcMFe/0H/4jPiDRnQDpaFwvJ/V7tWcrBXWZA/BdM/55zdiZaeU9AsqcjO5f2stQEwPaLJDMEaV41KYHjeQ3p5zMAj7rwrCLYG9v24cq4hHNJGfir4jvwruehUIapoH+T89F58A/wXAlzPx2b2if2o1SO1X63dGfS2JKNJSiPFUjf21G3MM9zt8/N/XvtN7kRBf2fzJzjR2bOYW4CeQ0nEh6gRvvaJqdj1k7VbOt/va4Wx0hKHZ0dSLk5KhQVDrkqFvxlLGzoibHJet+XXtypHGcQeIYFfQ7OLu2OwMjiCP0uDNV3jcH0MlMx4lxXTPc6qHKUmIqZXnUw38darFrBhGLIQQOK1QrGpLEfo61fY7yjskjQpWN5m7n58FEVs5yT7gAMOe6DzwdVxtaPeyJl5BYMOz0OsY2WYfjfEQic+BpWXWa2yjbaKNgt6JOjMIgLt8CE3dnYWJxhAbYCA+vxL4F/+Udgkp9sycTv4qdgVrrayYawqEmZZW67qQtjWwsx3MCecF/0OdkeXy0Jwt05A3G8ayTemu2HtIm/iaYiBuZAWASBd1ZYXiSC2SWPrMTsT++icMXmGB4ehkC2IKznIXMglgkTt+tzGUPeFnfIQRiK1ULwpLH4uK0fGr+j7DAnRedA9lnExp4B6gcisB4/WuAfMQmmw0V4oY2v46CfCjdGpy/G+h0XmJTqha/2VUDMqiL4JLwHiu4Zhq4z/4OPt+7Hp1iIPqtKY9z0jkB0L/gtegGzTiRijLRIYeUEhc3EjsRrfDnb/suiaeA2Di9dgE0p55Gw+ntklMob/+wBQMQkP/VNA4WxaAtLS0M5OSoIYTN3IPFaDthgQ/MuUxD20S18N2cVthy9CYP43YL1A/Bq/Aj4dV+CC/ylzTFv2xG8e97o98yEztgUj9uBHB0wFKldNmBNv4rI3hXOGD5GxO44DFZY0Cm1ky+j53hkdluO+T2q4a/Ur/DZkCiUmn0Q35iEtxXF2pPuGFHjPv5o+AlGdXwFP21k9/NtOVbnCqNgBUJN1trHRc8JkziwDZs9oRn44lQzTB5eF5kzu6J3oicWab0Xk7FlJLwUxwqLYmhn3VnH5mJI7xX4tXMEFgR74sb2BVjzW1H8uSTaPodh3uyUhUW8WxgVmw9HeFgg2nvXg4fSqiwzHtOmb8cNxvZa4mp8n+GBNgN9hI2sRizazoAGts6qOl8vhnjMlp5JfYrnzWVmMft5Sxt/+lSlWopw8lDKoVCcTm4iFa8zgWdU0Gdh/8iW6LCxEWIuSGEnxUxxxy08AKJdWrqqKY1R77B44iFtO2MB96YTP4Vfro+uMyIxa0BLSEEB9OpPA4ugUSQwXXWXIZuJ4ZZ7g3CaBdnlNsN4ER6WAo/wJFyc8TxmvtkQ0260w5orzFnJRqd4uwW9dPPW7Oel6/gd+DDUVj3qFV/gtdXNUvJ4s10kJgpv2dEBRas2h5+19H0sEtLKjm0w6l4ofpBCKIq2p8uz3zMyFREWiRPqaWgzV2aAL0bFM1EltbtYFfgMno2l07ohN5CS+De37vNc7uxZDGmLzgs4wZz7oKB+1xmInMXGrMKDonWnj3+hpTqy6y01SFx0xRRGsc5RyNgiOWaLfXenImq9v4iFiZV2K9VOEMTrL8rFgwP2zCbj13aWqsNfTCG/tcESZOQ6/4tz5H1Tu1wDG9/VPimJXcankZJTnrGg50L91uqEXYHGZnOib0hsMA5kspM3azv1vGP4KGDRJRa9w8jZlv8+BCW/zmAh/qQ947zdV9MTIJanY2Zj1JlWCHN+OJYXIlZz+8R+/KkwaoQcwjnms8I3W3w/bOu8wQbfDWlsyXdSpRMX+VixrW7DySl4p9VsVIv6hU9WJH24UL81WMSlbDudYvkcLL6jEH8zdyZCsSo+GDx7KaZ1y4tUlTe+NJyqyQbjtRNsk8e+CRrN/eopB08wG/Dis5e7yLbjhWD2E8789RV845vJxqKNu2N6VC+WIQh6MD8jNdMoHSujotyCwDMp6Lk47bU6bcK70caTnDiBJliIRWtVUJr3ac7dczgVvx8x0VGIOX4Fv7P5ryyzIcwUhbXFUcAf5T7Ei2IILEvXCgK9trjzJ7+SvYh9QvFKXJ6zrBBtoHLuAoA/joVodmTj0HRY0Fu1nxcbJL4w76ja2Wvd7ebKy8HPSYeQfNM4OoGWGy+K15u0QUOLKzImGOY2Q6OwbIQkGUdaUXqpCS+UVC2LRAlDdgbOMvOavauisfzASdzldkffW4FLbDcoT+K4eZ/LUTMTjXOn4rE/JhpRMcdxRXhQFEWeVft5sWze2W2+jxVTJi19ziJC8y/HwjInXEmMyTcBJCEpF2Nq3+sl6MV7sYGl+t2LPjnRDYxSyBuwZ0BZ+K6parJxwC2w+uJrUwd/ca5MMRL0R0LKoeWCIua2yvzzvw7dVByc89qYjY1dyqPn1k4KdsHi/H2UMc9gmzS8jrJgQy9tIhg9N9rbp2amIYrt521bRApjy9w0QvhebQzJr1eqm3OybICpj8MVwiPrMeaYuVDGWWZesxeropfjwMm7bFYtzEIlyhZbXFfYYT+f83MSDiXfZCZqtn2Kvt4EbRpKIX2t/dYZgp69Xe7exOOX7DEls9Ze7X8nQa+d1dNy5TMo6MVJ7oZcuItHb3UtmD7YIeiNB4rhRhwG1gtE9B9aElgYmVg0WYzzSSPgaWHUWRb0WTh7+g/UbChlWxVfSPeUJnqVSlh84SM7U3BH4c+3t4zFyOs9sXl0Q8Ufl6vTAS0sOPZosZ8XCrYufvXblXXgEZd2N+U20WKoxfMmTmHW78liS3LOYmYrb0xIlicRce8+t3hPzFQpbmA9BEb/oRDFRvtOn+Vnwrb+tSy65I5nLhb0ppOOBZaWGfBmA+2Wo7K02OT8EjwGYu/Nu6iQuwA1XzjypZoJeslJj2V+/iXSNNnQz6vg23IGnre2qM31TVIWzEJ/pxuNGUtOsVIfSadltrTPSv/aGCbTPkGvIvSN6xZt3TMVQxfqIehNx48lXxCtp2q2PZV6XO0cQa9HyxwtQ3ivZtIOvaMgC9Dvnz1BL01y8iQS4velLb1UNAj6ixsi8XOzEJk9b96I0C5epVjON/FSt804ExNo0Z7WJvEi7U71t8G+2G5BXxRVm/tB3UJFdN7JYLuxas6uufisi193EPRSUo9KzJzJOISk8kvN+j1lJ0Yi7qUQqJmbSvVZPFp1qz7nBN8GRP7cDCFyPwmpr9WeRxt2+mx6JqxM2rqKrhSdTW7sZWntRSWZiFUWBHQFliQn4Lcp6LevDnpdFNPKszmxYURl7JOHBzUT9JJwaopPN4+G0tLf2sI/d5GgYiYimRHWyZ3DtQh6D0zmQ+Ha0r4CIujF+OpM0SlExrJH0GcjMTIOL4UMgLLlu5qZEAvZYC0qlbWx6LS/P70rAoC8AAAS90lEQVSCXmBuIEHvtLHjfgU/c4KeD23InPAayJJeCN+ft+xAYlXQcxP9dHicUg8TxZsBTGtinijHwbFhi3gRQm9Go320PnHwHTK50Wo/z/ERr4Vqu8UXCrRk/GM72PFHcdXW81zWDGs29II500P0jzcNISl8X1cWatGaoOdMHxrjYuh5FgVGeZAI/hMZWKDqLMzMe92pz/kN3LqY7nFKPe4zb4M9DU1kDG3Z6eMXz8xkQY9szPkt6DkHyIRXJ6ku4oxHgr0srU85on378tJM9J6G54wA/DY/EUEnuBwAF3kh3GHn21j0zjnzXABmgl5yPnQgjJ64mEu2Iujz5nYtgl4yXbGlfQVE0IumjAa9BD13QtP4IkLPq8U1F03QMuTJ7bSfqhmPyayz8Thq3wTtYht660+W6hXZJ7Fy00N0G+zjcP4MMrlxoB8K6E+fOUEv7eKY7mZKOwvWXjZWxBdvUnEQw1XjvgpOZVPrabSht2VQ8bsxqZpCbwmnBK+aCEAuRXWvh0uxy470fQ4JejP7eRYhqP1klImNRkAJGQBNCyovhGlyirVf0Jd4qzXam8WGzGursvgTX2ovyRN9WHPk5YTGSLx2KE1F0Auiq0P6LJkNvSk7t+pzCDkFDg5XT+TCJ0maWs/Mht5sp485Q7afXAaxLHOzfLjoeVrjXEEvRGdaY2SixT1Tc6qfV4nzbdy39rPUNL3w8fy/ROnRoaid8gbmJw5HVdGkLDlkJfptPYZ3zjGbdbkzq5mgl2zy32QhShXGctZZHMmqghYWniuwOFi8TXiG0jyt5FxqSdCLzP8lnjQwN3M+K3G0lvblh6AXM2cf1OqHoXCvkumft5IZqR079NxYGPkaDqklKuJPdDogfZbMht7sVI0zJ22PpP6HMKGO+ii0W9CXeAutZSEz1WvJ5x16Zk54+vt/o0QrH7MgBlwbuY3FOinjVXOtaHpmxYtI0NtC6+m49pkT9Gwm4V9QHxp5fhtS56JZozAkK058xh1tOWylsAu6izl3CZne5B8+ssDQF7A2N7KOjoPIQtjKrO1D0XrUUby37Ci+9L0sZOvLNHpRsOgpMz+Yj5pxkjOZbe1yRNALC6wnuS95eWQWk5YUkLCVwmnPPZPFleCIHY0nZklVrDjyisKIFaYYStXA+r1xo60IMo7WwaC5c5+z4wL0fplFO+m2DRksM43Zk5LFshzWGIoX1l5gz5FxlGspDKG0KMpmR/ktsTfoNBabhUdRCVvJxvq3AwZjOYZiZVRvhRwRymPfuYJeNDvLyvNpSRzpg+TBiVBMxGncRLtZan3GJdtyoOmSDBwbzrldi86pu5nfcr+dyFRK9KbgFIuLLLFQ/bHIDuEia4mRYfhmcAKvIbZ1UupH03Zy80N15kBrGtCAaxJn398Je7vE4zLLrCaMKXG8XDd2lBXKy2bPo0envew9YDTGNLdPX0GvaIaZxTJnv94LOwwOCHrG9eSEmmzz5jUjx2aRJ5fF1OMTm8JWCnM1VDaNhMhBjbYG5UX1krpONP3JzcTKODcd+yKiE4yd+LWOR72vkyJPdWQHv9uhY+J2WUNZiNqVq5GQtAMrvnmEUKVFLbgNv3a4u0gtG7ot9y5tUtZUXkCDi4jVCWPOf4DFsZPg47pgPLbcFF1rhcCzJ+jZJL+wYX1Mb7iTXwU/SV+L/p1CsPtyNirPSEGaml2DCJI3m0iKQPrpMZAneeXTzSd5o+Vv2Xh39XcY1/oN8OmpWLSatPVD8X7EY8w+uAHBdmV+szaWhSPjpAjzGOzcrmaX2CaYfzwBLeJ9MO7fHshYcxVjuCyaFZkD4vBO2NMhHlEm4slafXl/d0TQCy/Ws/wEF1J0HfqMuYXwuE8VhRZvrrTCX92Egl/UrIC/zhn/tJMQr8xmu3/V/ZA+mRNAFXHj8DT077oc++5mK6YX5xcAo6oqmmHxf4soBL9qV1B8wA4sD/ISE+iwKD0H5uGjgHi02rULM5qZpndx5z7nF9W+SfBu+Ruy312N78a1xhvCg4LstPUY+n4EHrOY4htMYorzMoztonqg09lQls48BEXX9cGYW+GI+7S2eeZgMSLSX3LzrDNT8GaDqchgv5CbRCn2M4sYk556CF8O7YZlKaXQcVE85gR4okrJJ7iWuhnh/sOx9W5ZdP4qAV98+BZeff4+rqXHIcxvFHZk18GwnWsR1tj8+3Hfb8S4Jp6QUlNksRMyj57H0HvfNSyrvRc9emYgIvFT1LQ2+Oxmaa3gvL/zWWynVjYxFZM2L/rtu41lbY2358WkUXFh8Bu1g4VFHIfvN45DE08ht0DW/hC07RyNN79MxBpuLLMI5YdnBSPk3gTEL26rIdQgE44rA+DLIkiNTNiFUY2ZErlxGLO6+yOq0hIc/CYYedMrJ7zr47jfZ/jfS2URsW446hUzsMtnobs/i1s/ZzfiBpuOHWvtK8mSU11iJxJTAsPN+vfS8fkYFPgFkpmFeXh8NIbVq8ISOFmLw8mtO7iFznhg2g84xo3lnHSs7R+KZenxSJbGXM/aqMLGls11M9+ndX3ew5CMPojfOokPA5uTvgmhYZ9jP8utkFGqIxbFz0HP2nljUXlkCCcGEYX8UO1KcQzYsRxBXmIOjJyfcWDeRwiIb4Vdu2ZANhXlOkh7xrITuWanMaH/12i0Jgp2vm60D1xNV0onIfmUgIlf6H6LbkqCnpubugMxP01hGVkc/UiLzgbKppgP2KZJ2UDEGDTOg442h36fLwSeQUHPuLIJc9fStTh8//9Qolo3fPgwDPU/sWI/L3aHEPnhJhabreavIipoHsouXA7/4unYNDcMC+NuoXCZYsjJeQ71+oZjfF9JuDijb0V715uLcW97sOmuJzvO3vzNFpy7D5Rs0Qej3q+G+2fXYln0FfxdrCS8g4fjQ3kQcxua6Iig58JHpm+aiy9PP0SpNz7EENUY/cLEO95LPakXL37He2lwrrXh5uy81HDjNNavXo8rfxdDSe9g1NrnDV8z+3mxcH63bA5aKixEEsN8kfLRVoypfheHo6Zj2ppTePRSSeD+E5TxH4kZo/3hpSQa3LjPr7LERfPKLsRy/+J834ctjMOtwmVQLCcHz9Xri/DxfdFaUPjmH/bsbpr7JU4/LIU3PhyCAS1VwtPxJ3FpmHU9EYNN8iqw8Za4h8VWj8KUEotweox8WS6r8toJxMqDYXNH+m/9iQPy7yvUR+vi/8aBfz8wLUTl+wosMVZeBlwmNE+vx+rVSbhdvA4+Gqscg18OxCGWWsf21e2I2FoCY0OM7HoNJ7Fi/DU0X9BTtujgsmAfgCmCCiwHmFFWbCYAkzatxdrk/6BQmZoI6NoTTSVxqLFNhuw0HN+wGRvP3wbK10UPxTLyMnJXYNfvX70Rh9mi+p+yrdAzqKN66FkL7eMyF2vtX2umeca3ys0XO9ZvwKG7z+GFF99G0MAg/M/eEVj1Q3nUbVcL5WwcW6Z1cwvl/Vj91QHcLwIUqhaEgUH/g70jVuEHxq5drXIwHYtKnZCIMN8UfLSVbWTdPYyo6dOw5tQjCFNRGfiPnIHR/tJmg/z33CIqCgu2/YznSjVE/xDznBkau90pl+Wr86gFQc+d1IRWOCSegl3GCt8AbC7pDY/ibCF86TqaRsbg08Yva2QgmpShv6q/Hm/SdN8DH/go5Q3QWA1d5lYEnk1Bb9IFku2lNft56UeCHeeRcddZYhMbMzA5u+v53ccjGGcmYpxbMS+kj49SiKSgY7286F2INnxECqVyBf+EhW2S8ZPyBTo2xtaixGNdyO3npXIEE4Zh/9qNeyw/QUH45Euf2w1C9Cv4dZlqgp/LC5tiXvXjYNYZ9CECROAZJqAWKMMpSNQEPe9/sATeGZLZD9th9wnHP8N6oRpKw7N1U+WNG7VGiiGSD7I8C9ddmK3WKQypUFUCJOihIf68DF8WS6Ty+vymOMNCuVk9Es/XwZeFdf6vY37TM4r21vnaFF0rE2xBfTMjlW2uWV0GFuawJsvMF5mbVEbXBjhWmGL8edMi3br9jt19/v+atz+ej6ZnzqvYoKvETs//llKNRIAIuJqAGCL3ji1hnO1ts4qg54JSVNrUDZm54V+ZoO+yCS3WDEKFBy/glcqCyZrmj+gryML2FZhNIs33RheSoFcjkHN4LGq0WojH447iV5bdU9uHRWLxqY3d/TJM0mlr+62Tr+JSoNfejX7cSt/UrNrJFTuxeKv35Mb9wezCb6z2R6VBCWj/1a/Y+7FapwiJxAaV2CFzGHQi16eyaOscOQflLj8MQ6KJY+ZTCYNuiggQAWsERMfy6HI2JFpkvngbxi7CwT+tFF69B+YYm6opCnruhLY6jgzNNPJHYYK+aU9cGLACM+pexOg+0Wi6aj9CmmjwyWBN4v3NJvykkJjPGgz6e0Em8Ozu0N9OwKzJcbhm0nu1EBw5Ai3k8e+UejiLRVWo/zm8dh/Dp7W1PWT5NVA4wVL/cy/sPqbsXJpf7dClHhaVZG4zX6RNPCOLeCKVzpzk2ELMN20izrCIKW61hjn3NYYvP4G/jUGUaoeQOYFmDtX8JVbvVReiT3Uh1sf+OXwddgH1pmmPcPNUA6ObIwLPPAEpIoyUNdgZQIQoN3uO7cOWo3dQ9YNgeLfpgkkBXgBnTtrgMqZZSKzIB9w4PdVqxnih5ZKjr7Mj9ziDE5XpCIFnV9A7Qk38reFGHEb3Poee2z/XtgjQoU5tRbBd4bjR6H2uJ7Z/3sIsPre2Mtzhqgc4MjEY21uuQmRbZan+4MhEBG9viVWRWiJkuMM9WWlDzlnM7ToL5ZZsRl8uQiB9tBO4+jX6hhkwdt1gzeEotRdOVxIBIvC0EuBMXsr33ArvFfnvG8cFlfB/uMbE9+vykqaov6oDjqZ+hncYdD60adwAnE2fxP/f4kdK1th5g6oPkbUi6O8FkwAJ+oLZb9RqIkAEiAARIAJEQA8CvFNqOyyvm99OpFyQjf54cbupv4+B2cA3jOuIpKVtUIzLE9PYGzv7n0TSCLajb1XPc5mcE9B5w21s6UEB5q3xepr+ToL+aepNuhciQASIABEgAkTARgIWknDZWJItl/NhsKfWRPIxloHZ5IdCGNt1WzPx1985KPfhCPUQvSa/E6K9ffIr8we4OAMaTe5taTJd68YESNC7cedQ04gAESACRIAIEIF8IMAFX3h7CNIGHUAmCx/sfM84LrxuJSxvcVm3nXRuZ79S61XwWnGJhdUmm818GDVuVQUJerfqDmoMESACRIAIEAEikP8ExF36SJYV+RJLSOdsPZy9EV0qbUK3zC3QxzKGi/b2NoZcD6Hd+fwfPG5RIwl6t+gGagQRIAJEgAgQASLgUgIGlpemUmus84nFjxsDnBo17QFzxH39yFDcXtZWl9OArLgeqBGYiOADmVjs4/zzBZf2E1WuSIAEPQ0MIkAEiAARIAJEgAgwAobUuWjWaD5qxFxQCZXshpiy4tCjRiCShyZRHhM37J78ahIJ+vwiTfUQASJABIgAESACbk+Ay2dRq/uPCP3B/fLMmMHj85c0wrQXZuFE4hgK2ev2o8t5DSRB7zy2VDIRIAJEgAgQASJQ4AiwhIULfeA9ywPfXfgW/m6VsdAYZha2966FjzLGk5gvcGNM/waToNefKZVIBIgAESACRIAIFGgCBlw5shNXS7ZG+9puGs89OxUJB+6jaocWqEZm8wV6tOnReBL0elCkMogAESACRIAIEAEiQASIgIsIkKB3EXiqlggQASJABIgAESACRIAI6EGABL0eFKkMIkAEiAARIAJEgAgQASLgIgIk6F0EnqolAkSACBABIkAEiAARIAJ6ECBBrwdFKoMIEAEiQASIABEgAkSACLiIAAl6F4GnaokAESACRIAIEAEiQASIgB4ESNDrQZHKIAJEgAgQASJABIgAESACLiJAgt5F4KlaIkAEiAARIAJEgAgQASKgBwES9HpQpDKIABEgAkSACBABIkAEiICLCJCgdxF4qpYIEAEiQASIABEgAkSACOhBgAS9HhSpDCJABIgAESACRIAIEAEi4CICJOhdBJ6qJQJEgAgQASJABIgAESACehAgQa8HRSqDCBABIkAEiAARIAJEgAi4iAAJeheBp2qJABEgAkSACBABIkAEiIAeBEjQ60GRyiACRIAIEAEiQASIABEgAi4iQILeReCpWiJABIgAESACRIAIEAEioAcBEvR6UKQyiAARIAJEgAgQASJABIiAiwiQoHcReKqWCBABIkAEiAARIAJEgAjoQYAEvR4UqQwiQASIABEgAkSACBABIuAiAiToXQSeqiUCRIAIEAEiQASIABEgAnoQIEGvB0UqgwgQASJABIgAESACRIAIuIgACXoXgadqiQARIAJEgAgQASJABIiAHgRI0OtBkcogAkSACBABIkAEiAARIAIuIkCC3kXgqVoiQASIABEgAkSACBABIqAHARL0elCkMogAESACRIAIEAEiQASIgIsI/D85WQqn6cHZgwAAAABJRU5ErkJggg==)
Ich verstehe nicht, wie ich auf den Vektor t und auf die Matrix von q'' komme. Danke für den Hinweis, sitze schon ne Weile an dem Problem.
Hi,
ich finde leider nichts dazu im Internet oder im Skript, auch ChatGPT hilft mir nicht weiter...
Gegeben ist eine Quadrik \( x_1^2+x_1x_2+x_2^2+2x_1-5 \)
Die folgenden Matritzen habe ich schon \( A'=S^TAS= \begin{pmatrix} \frac 3 2 & 0 \\ 0 & \frac 1 2 \end{pmatrix} \) und \(S = \begin{pmatrix} 5 & 0 & 0 \\ 0 & -5 & -\frac{\sqrt{5}}{2} \\ 0 & -\frac{\sqrt{5}} {2} & -1 \end{pmatrix} \), die diagonalisierende Matrix S = \( \begin{pmatrix} \frac {1} {\sqrt{2}} & -\frac {1} {\sqrt{2}} \\ \frac {1} {\sqrt{2}} & \frac {1} {\sqrt{2}} \end{pmatrix}\), und die erweiterte Matrix von q' = \( \begin{pmatrix} 5 & 0 & 0 \\ 0 & -5 & -\frac{\sqrt{5}} {2} \\ 0 & -\frac{\sqrt{5}} {2} & -1\end{pmatrix}\).
Nun soll ich den Verschiebungsvektor \(t= \begin{pmatrix} 0 \\ - \frac{1} {2 sqrt{5}} \end{pmatrix} \) und die erweiterte Matrix von q'' \( = \begin{pmatrix} 5 & 0 & 0 \\ 0 & -5 & 0 \\ 0& 0 & -\frac {3}{4} \end{pmatrix} \) finden.
Ich hab nicht die leiseste Ahnung was hier geschieht und ich finde absolut gar nichts dazu. Das einzige was mir aufgefallen ist, ist dass der zweite Eintrag aus vektor t multipliziert mit dem Bruch aus dem Vektor von q' 1/4 ergibt und das plus -1 = -3/4 ist. Aber was das bedeutet...
Mein Skript liefert gar nichts, ich finde kein Video, keine Anleitung, ich weiß echt nicht, was ich machen soll....
Vielen Dank für eure Hilfe.
EDIT vom 24.04.2024 um 20:47:
Da diese Seite nicht so ganz intuitiv ist versuche ich es mal so.Lösung:
Ich verstehe nicht, wie ich auf den Vektor t und auf die Matrix von q'' komme. Danke für den Hinweis, sitze schon ne Weile an dem Problem.
Diese Frage melden
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anonym2d7d2
Punkte: 12
Punkte: 12
Um welche Aufgabe geht es denn nun? Die oben in Deiner Frage oder die im neu geposteten Bild? Und was ist HA 2.3? Ordne Deine Gedanken und poste die vollständige(!) Info hier.
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mikn
24.04.2024 um 20:56
Wie kann ich die Frage löschen? Bearbeiten ist wohl nur begrenzt möglich.
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anonym2d7d2
24.04.2024 um 21:15
Löschen geht nicht, glaub ich.
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mikn
24.04.2024 um 21:19
Ist ersetzt durch andere Frage, kann gelöscht werden.
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mikn
24.04.2024 um 21:34
Bei Fragen hier im Forum liefere stets(!) die Originalaufgabenstellung mit. Hole das nun nach (oben "Frage bearbeiten"). ─ mikn 24.04.2024 um 20:43