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![](https://rs.olm.vn/images/avt/0.png?1311)
7 tháng 1 2022
a: Xét ΔHDE và ΔHGE có
HD=HG
HE chung
DE=GE
Do đó: ΔHDE=ΔHGE
b: Xét ΔDEI và ΔGEI có
ED=EG
\(\widehat{DEI}=\widehat{GEI}\)
EI chung
DO đó: ΔDEI=ΔGEI
Suy ra: \(\widehat{IDE}=\widehat{IGE}=90^0\)
hay IG\(\perp\)GE
c: Xét ΔHDI và ΔHGI có
HD=HG
DI=GI
HI chung
Do đó: ΔHDI=ΔHGI
![](https://rs.olm.vn/images/avt/0.png?1311)
10 tháng 1 2022
a Xét ΔHDE và ΔHGE có
HD=HG
HE chung
DE=GE
Do đó: ΔHDE=ΔHGE
b: Xét ΔEDI và ΔEGI có
ED=EG
\(\widehat{DEI}=\widehat{GEI}\)
EI chung
Do đó: ΔEDI=ΔEGI
Suy ra: \(\widehat{EDI}=\widehat{EGI}=90^0\)
hay IG\(\perp\)GE
c: Xét ΔHDI vuông tại H và ΔHGI vuông tại H có
IH chung
ID=IG
Do đó: ΔHDI=ΔHGI
Lời giải:
a. Xét tam giác $HDE$ và $HGE$ có:
$EH$ chung
$DE=GE$ (gt)
$HD=HG$ (do $H$ là trung điểm $DG$)
$\Rightarrow \triangle HDE=\triangle HGE$ (c.c.c)
b. Từ tam giác bằng nhau phần a suy ra $\widehat{E_1}=\widehat{E_2}$
Xét tam giác $EDI$ và $EGI$ có:
$\widehat{E_1}=\widehat{E_2}$ (cmt)
$ED=EG$ (gt)
$EI$ chung
$\Rightarrow \triangle EDI=\triangle EGI$ (c.g.c)
$\Rightarrow \widehat{EGI}=\widehat{EDI}=90^0$
$\Rightarrow IG\perp GE$ (đpcm)
Hình vẽ:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbwAAAFCCAYAAACKKGi2AAAgAElEQVR4Ae29ccwuVXUvzD9WuWjtJxdBPlCiVNTqrX42DT0eqZGSaqkn+ilqPEggtAQoiAQQrFAolEoxVAP1fEQoN1SqGCL2RAIewENryDleCEr0qtxrSLmlhyCIlmhiiDbz5TfnrHnW3u/a8/zmfdfzzOz3XZO87+y9Zz1r7/X7rT1r9syePfs1avvnf/5nlSsn/+M//qN8UB0ZSy7sUCSoZPChwFBJFpfwKwWaSrL4ecsFH4oElfTGmdVXAx/7KZyaGhqs21tKhx02MqzjessFH8EHEAi/sv0g+oeNi7e/QF8EPBvrpHQRwCcVFDLREWxggo+14RJ+tTb8vP0v+FgeH/uBPPkD8JLu2+/Zs2fScmHHjFPN41i8BR/BB/zQ2//Cr8KvhvpVjPDsi4ukFKAym7ccOjSzedfrrS/ssFn0xpnVF3wEH0CA9RdWrga/ioBn+35SyhLuLVeDAyVAFTJhhw2Mt7+w+oKP4AMIsP7CytXgVxHwbN9PSlnCveVqcKAEqEIm7LCB8fYXVl/wEXwAAdZfWLka/CoCnu37SSlLuLdcDQ6UAFXIhB02MN7+wuoLPoIPIMD6CytXg19FwLN9PyllCfeWq8GBEqAKmbDDBsbbX1h9wUfwAQRYf2HlavCrCHi27yelLOHecjU4UAJUIRN22MB4+wurL/gIPoAA6y+sXA1+FQHP9v2klCXcW64GB0qAKmTCDhsYb39h9QUfwQcQYP2FlavBryLg2b6flLKEe8vV4EAJUIVM2GED4+0vrL7gI/gAAqy/sHI1+FUEPNv3k1KWcG+5GhwoAaqQCTtsYLz9hdUXfAQfQID1F1auBr+KlVbUSjMg1vrzXiGC1QcHstqTl7H6xpILO8Kv4LPe/hd+FX411K9ihGdf7CWlAJXZvOVquGJicAk7bJS8/YXVF3wEH0CA9RdWrga/ioBn+35SyhLuLVeDAyVAFTJhhw2Mt7+w+oKP4AMIsP7CytXgVxHwbN9PSlnCveVqcKAEqEIm7LCB8fYXVl/wEXwAAdZfWLka/CoCnu37SSlLuLdcDQ6UAFXIhB02MN7+wuoLPoIPIMD6CytXg19FwLN9PyllCfeWq8GBEqAKmbDDBsbbX1h9wUfwAQRYf2HlavCrCHi27yelLOHecjU4UAJUIRN22MB4+wurL/gIPoAA6y+sXA1+taEDnu32K0tZwr3lanCglWitLAk7VmKCEm9/YfUFH8HHIvyvBr/aMAHvXe9qmnl/djeIE9NacamhI5Rs1OVhh0ZjlmYDrbdc8DHjQKe8cWb11cDHhgp42imGpFnCveVqcCAGx7DDRsnbX1h9wUfwAQRYf2HlavCrDbHSCsjF6E5IBoH48175wVsfHEja2rf3rtdbX9gRK2Isor+FX4VfDfWrDT3CA1jMNpZcDVdMDH5hh41S+NXacAm/Wht+3v5XAx8bOuDZ7rKy1NsxWH01ONBKtFaWhB0rMUEJ6wfecsFH8LEI/6vBrzZUwOubtGJ3gb2l3iccVl8NDtSHmxwLOwSJdM/6gbdc8JHyIDlvnFl9wYcwkO5Z/IbIbaiAl8LJ54YAymhl9UVHsNFk8fOWCz6CDyAQfmX7QQ39Y0MHPG/H9dZXgwPZrp+Whh0pHpLz9hdWX/AhDKR7Fj9vueAj5UFy3jhDXwQ8Qbdnvwjge6rrDkVH6KBIEsFHAkeXYXEJv+ogSxIsft5ywUdCQ5fxxhn6IuB18JYTiwC+XNvsSHSEGRY6FXxoNGZpFpfwqxlmOsXi5y0XfGgWZmlvnKFvQwe8GbT9qUUA31/j3qPREWyUgo+14RJ+tTb8vP0v+FgeHxsq4PXN0pQX0y3ovR2c1RcdwWLDf9JA8DEtnIOP4AMIsH4wRG5DrLQyBBDI5n/eK4+w+hDw8rZYeVbfWHJhx0qfAo/Bx9pwCb9aG37e/lcDHxtmhGddM+Gkw2xjycGBmG2s9rH1hh02iyx+3nLBR/ABBDaiX0XAs30/KfV2DFZfnJgSGroMi5+3XPDRUZAkvHFm9QUfCQ1dhsXPW64GPiLgdW5STng7BquvBgcqozY7EnbMsNAp1g+85YIPzcIs7Y0zqy/4mHGgUyx+Q+TWVcC77777mk996lPNqaee2txzzz3NL3/5S43fivQQoFb82Cjw1hcdwQB5AbdiWN6Cj+ADCLD+wsqFXy3Pr9ZFwNu9e3dzxBGvaQ466PXNkUd+tHn1qy9sDj98c3P44Uc2OFbaWIccSy46gs1c8LE2XMKv1oaft/8FH8vjo/qAh4B2wAG/0bzlLfes+KL5pk33NS9+8SHFoOftuN76oiMsryPYNaWlwUeKh+S8/Z7VF3wIA+mexc9brgY+qg94GNlZwU7euUPQw0jvZz/7WeoVC7g1sREdaAWoRkENHcFo9oqisGMFJG2Bt9+z+oKP4AMIsP4CuaoDHp7ZHXzwG1eM7CTYyR63N7/61a+u8I4hQK34sVHgrS86tAHyQAe3NaSlLG/BR4qb5Fj8vOWCD2Eg3XvjzOqrgY+qA94nP/nJ9pmdBLbS/qijLmquuOKK1CtGPHGuJwdaAapRUENHMJq9oijsWAFJW8D6s7dc8BF8AIEhfrUfnKbWv9NOO6058shz5o7wMIkFMzdrtTPaXa+PBnfBXfjAdHyg6hEee0vzZS87utm+ffuKy6EhVwYrfmwUeOtDR2E273q99YUdNoveOLP6go/gAwiw/sLK1eBXVQc8kMZMWjnggJc0f/3Xf938/Oc/TzydJXIsuRocKAG0kAk7bGDCr9aGS/jV2vDz9r8a+Kg+4OG1hAMPPKw5+mj7tYQDDjik2bx5c/Oud72rva35wx/+sPMSb8K99dXgQB2YPYmwwwbH219YfcFH8AEEWH9h5Wrwq+oDHohD0MOrBwcd9N+aV77y7ObIIy9oXvKSNzUY2b373e9uPvaxj7UBD0EP+S984QvNr371K3fCWcdg5WpwIPvUkZaGHSkekmP9wFsu+BAG0r03zqy+4CPlQXIsfkPk1kXAA0C/+MUvms997nPNa1/72ublL39588EPfrB55zvf2Qa6+++/vw1yCHYIevi79NJLGz3aE5Ct/RBArd/nZay+6Ag5cnvzLH7ecsFH8AEEwq9sP6ihf6ybgAcKvvOd77TBbNOmTQ2C3AknnNDmzzjjjHZE99hjjzWY2SlBDwEQcvM2bwdn9dXgQPOww/Gww0aJ9QNvueAj+AACG9Gv1m3AQ/DDrUsJbg899FDr5Zi4sm3btvbW5jve8Y72+HXXXdc8++yzdi9YgGOwjhYnJpsSFj9vueAj+AAC4Ve2H9TQP9Z1wEMQk1Hen//5nycsYWT33ve+twuIGAU+8sgjiYxkvB2c1VeDAwlGffuww0aH9QNvueAj+AACG9Gv1nXAA6k333xzF9TyLyc8+uijzfnnn98dxy3O2267rb39qbuEt2Ow+uLEpFmYpVn8vOWCjxkHOuWNM6sv+NAszNIsft5yNfCxH4yWPzRY0n37PXv2TFJu165dDW5T4hke0rDhiSeeaN7//ve35aeffnrzzDPPdG2HHcjfcsstzfHHH9/K4Pcf/ehH2wktgsFY9tbOh+AXdsz6mGCCffjV2nAJv1obft7+VwMf636Eh+ueO+64oxvF6UkqOOnI9vDDDze4rSnP/LZu3dpgJRdsWk7krb23HByI2bzr9dYXdtgseuPM6gs+gg8gwPoLK1eDX22IgId37k455ZQ2mGGWJvIW4Xi14TOf+Uw7oUUCH/JPPvmk3UOyUtYxWLkaHCiDwMyGHSYs7iec8Ktp4Rx8TI+PDRHwADuezUkQu/fee1smSg75jW98o5vsgt+cfPLJDUaA87aSvvx3rFwEihy5vXkWP2+54CP4AALhV7Yf1NA/NkzAe+6555JRHvJ9jvujH/2oufjii9sgied6eoUWm+7oCCVcaugIpbbr8rBDozFL9/WjmVT0D42FTodfaTRm6UX41YYJeIDxzjvv7EZ5t99+e2/AE9gxoWXLli3d7zCr8yc/+YkcTvbeBEVHSODtMt44s/qCj46CJMHi5y0XfCQ0dBlvnFl9NfCxoQIent3JxJSTTjqJfjb34IMPtgtPyy1RLFuWv+IAb2Mdg5WrwYG6XtaTCDtscFg/8JYLPoIPILAR/WpDBTyQjEAlgeumm26yPT8rhWPgFihWZJHfYo8JLfqTQxvRgTKozGycYE1Y3E84rP8FH8EHEGD9hZWrwa82XMDDKE/W08RKKzpg2d0gdQy8qoBXFiTw4Uvqsgg16xisXA0OVMJMl4cdGo1ZmvUDb7ngY8aBTnnjzOoLPjQLszSL3xC5DRfwACdmYSJgYTIK1tuct+WAPv30082FF17YBT2Z0IKX2Jkt11f6TXQEGxkWP2+54CP4AALhV7Yf1NA/1v1KK3BO6+/MM89sjjvuuHb2JZYYs2SkzFqRAMENnyPSK7T82Z/9WbJCi/w+31v6chnk4UBWeV7G6htLLuywfTD4WBsu4Vdrw8/b/2rgY0OO8HB9gq8pYISHkd71119vX7LsK0WAKW24nSm3SKEPi1VjBNm39enTv4MDMRurbyy5sMNmMfhYGy7hV2vDz9v/auBjwwY8uMpFF13UBrx5z/LmOQZeU7j66qu7ACoTWrByi7XN0ye/qcGBpK19+7DDRof1A2+54CP4AAIb0a82dMDbuXNn9xyu71ke6xjbt29vv7QuE1ow8pMJLbqLsfrixKRRm6VZ/Lzlgo8ZBzrljTOrL/jQLMzSLH7ecjXwsaEDHgjHd/IQoPBuXWnG5hDHwAotohN6rU8OsfpqcKBZNyunwg4bG9YPvOWCj+ADCGxEv9rwAQ8jMAQlBCesqmJtq3EMrN2pPzCLZcowu3OIo8WJyWLDv6Oy/AYfwceQ/ht+NS1/AR8bPuCBEjx/Q8BDgJKgpKliHTeXw+xPvKcH3fiTFVpyOV2XTscJVqMxS7P4ecsFHzMOdMobZ1Zf8KFZmKVZ/LzlauAjAl7TNI899lg3yrNmbK7FMXCb9KqrruqCHgLfNddc05QmtMzctmlfS9D5Unot7bN0euuroSNYOORlYUeOyN68t7+w+oKP4AMIsP4CuQh4+3xGgpI1yhsCqO2CTfsxWYzwEPDw+kJpQov+fXRojcYs7cHHTBvfYYIPjdosHXzMsNApFpfwK43aLM3iN0QuAt4+fB9//PFulIc1MvU2BFD9uzyN1xewQou8/2dNaNG/iY6g0ZilvfgQjay+4EMQS/csft5ywUfKg+S8cWb11cDHhl1pBSTmKw1glIdghNVTvv/973ernORy+K31x8r9wz/8Q7JCywUXXNBYq73Agax68jK23rHkwo61+Ys3b8FH8IFzyEb0qxjhyWVR0zR4pQArpeC245VXXtkdgXMw2xA5BDj5VBHqO+WUU5qHHnooqaaGK6akwYVM2GEDM8RfbA1pKasv+EhxkxyLn7dc8CEMpHtvnKEvAl6KcYNPBiEA4U9eGl8E8KgWE1fyTw4hLxNaoiNk5OzLLooPu7ZZafAxw0Kngg+NxizN4hJ+NcNMp1j8hshtyID3s5/9rHn5y19uzu7BczYZ5eEWJ7YhgGrCSulc3/3335+s0HLWWWe1tzijI9gI5vjZUv68BR820sHH2nAJv1obfkP8b8MFPAQ7zMTcb7/9ioFMj/IeeeSRolxO0xDg89/idmr+yaFLLrmk/fBsLpvn11Jvrgt5b33RoS2U/XFmeQs+go+N2s83VMBDR3/Tm97UPPDAA70BD+/OySsEWCaMPZGIHOp585vf3Dzvec9rDj300Pa9O93FRE6XIY2P02K1F1n5ZdOmTW0QxKizbyvpy38zllycYHMm9uaDj7XhEn61Nvy8/a8GPjZUwNt///2bHTt2tF7SN8KDABaTlmd53/zmN23PykrhQJB9z3ve096SxOEf/OAHbfD79Kc/3UnPczR8uuikk05qEPDQBgTfvk8OzdMnFY8lV0NHEIz69mGHjU741dpwCb9aG35D/G9DBTwEH9nmBTw9yjv99NPb0Zf8trQH8EcffXTz7LPPJiKo94gjjujKGIKgQ76zJ4F327Zt5i1ORh8qH0suOnRHfZIIPhI4ugyLS/hVB1mSYPHzlquBjw0V8LRXzAt4kL399tvbERbezctfGdC6JN3nQM9//vNFjA48cCDcfsUrCxL08CoDnivqra/eKcjV0BE0TqV02GEjM5b/BR/BBxAY4n8R8GyfaUufe+65Ntgg4GFCCZ6x9W0l4P/93/+9ecMb3tD9tCTXCexLSIfGaO/yyy/vgh6CH769Jxurbyw5sUPaW9qP1T623rDDZo7Fz1su+Ag+gMAQv9qwK61ghMesNPClL32pOe6449oVWO64444WXABs/ZX0XXbZZc3f/u3fdr8pyeU60aF12Re/+MVmy5YtbVsQhLFCC94VZPWNJZfboW3S6bHax9Ybdgzze80t0izOrFzwEXwM9asY4dkXSV0pRnlbt25tR1fnnHNO7ygP4OcbRncf+tCHkmJLLhHYl0GHzrd8hRa8M4hAzGxsvd5ylh1We73r9dYXdlisDbvCtjWkpSxvwUeKm+RY/LzlauAjAp54Sc8etw/lGdp9991XlMwd6D//8z+bE088sclfK8jlSgpLDoSVWLDAtbQJoz29QktJH1uvt1zJjryd3vV66ws7csb25r1xZvUFH8EHEGD9BXIR8GyfSUqfeeaZbsYkZk6WnuXlwGNE+L3vfS/RNYSgeR0aryrglQUEPAS/eZ8cytu3omH7Crzl5tkh7fCu11tf2CFMpXtvnFl9wUfKg+RY/LzlauAjAp54Sc8ejnHvvfd2I6rSKE8c6Mc//nH7Ht23v/1tU6vImQdVIeNAWKHl7LPP7tqGl9bxDqEVlNl6veUYO2C2d73e+sIO5Zwq6Y0zqy/4UCSoJIuft1wNfGzYgAf/GEI4Aoi8F4e9LPCs/KzVt2vXrvZFc3xFvbSx9bIOhBEolkOTFVow2jv33HPbrz/oNrD1esuxdnjX660v7NDeNEt748zqCz5mHOgUi5+3XA18RMDTnlJIi2Ngcog8N9OvBcjPIHfYYYe1y5ZhFmj+p+Uk3bcf6kCYsXnqqad2bcSElt27d3dViB1dQSHhLTfUjkKzumLv9rH6wo6OgiTB4uctF3wkNHQZb5xZfTXwEQGvc5NyQgiX9/IQ9BBY8tuGIlfWtPcIK7caB8IKMfknh2644YZ2RMrW6y23Gjv6MPRuH6sv7LBZYfHzlgs+gg8gMMSvIuDZPpOUakD1KC9/HUDLJQqyDCu3lg4tE1pkRIq1OXG7ldnY9rFya7HDai9br7dc2GGxMeyEY2tIS1nego8UN8mx+HnL1cBHBDzxkp69dgz9LA8zJPWzPC3Xo46+IlmrA+F1CHztQYLe8ccf39x22219TWuPTc2OvMHe7WP1rZWPsGPle6o5JsgHHxYqPC4sft5yNfSP/dDI9fKHiRv4wgD+kF6UXVg1Req54oorFlaPV/vRxmOOOaZr84c//OHmK1/5yuTb7WV/6Fk/fTy4DC7X4gMxwrMvppLS/EpIj/IwMUReLM/lEiUqw8qBWGZj9GGFFj2hBTM68aqFtTH68DtWztOOIfWy7WPlwg7LW3g/YHFm5YKP4GPo+SACnu0zSanVAe+///7uViE+2joU+KSCQsa7Qz/11FPN9ddf37UbtzqxYgsmuujNslcflzQr520HW6+3XNghzKd7b5xZfcFHyoPkWPy85WrgIwKeeEnPvuQYeNcNQQPP8vBFg5JcrpqVW5QD4VNHaLM828PIT68Iw7aPlVuUHTmueZ5tHysXduQI782z+HnLBR/BBxAY4lcR8GyfSUpLgOJbdRI0MPW/JJcoG0DQIjv0448/3mDpM2k/9jfffHP7qkVNduTY6nzYodGYpRfpV7NaVqaCj5WYoCT4sHHx9hfoi4BnY52U9gEvo7z3vve9Td/qKlphnz4tt+iOgGeRCNQ66MGe/AOzuk06PRU7dJt0mm0fK7doPnTbdZptHysXdmh0Z2kWP2+54GPGgU554wx9EfA0woV0H/Df+c53uoBx7bXXFjSkxX36tOSyOgJswHt6EvgwoUWv0KLbpNNTs0O3DWm2fazcsvgIO7jXF4KP3FP25ll/9pargY8IeLbPJKXzHEPedcN7bljMed42T5/8fpkOhGeQV111VRv05OsLWLEF5aVtinbotrLtY+WWyUfYoRGw08GHjQvrz95yNfARAc/2maR0nmPIKE++S5f82MjM0yc/GcOBduzYkSxCjZGfntAibcN+ynYMaV/YoVmdpVlcxpIbo3+EX838I0/VwEcEvJw1I8906CuvvLL9Lh1uBz7xxBOGllkRow/SYzkQFqG+8MILk1uc1gotU7eDbR8rNxYfbPtYubBj1hd1isXPWy740CzM0t44Q99++Cd/AF7Sffs9e/ZMUg5rRWKUhVVQkO6zAcc87Xj44YfbulE/bg321c3WOyYf+OTQjTfe2OA2LWzCH767993vfrezrQY7+niQY2HH7BwgmGDP4jKW3Jj9Q+NUSrO4hB3L878Y4c0uKIopODSzyTMwTP7om7HJ6kNHYDZW32rkMGNTr9CC2ajyAVxW3xTs6MMx7LDRYXEZSy78alq81cBHBDzbZ5JStkMjOMhHWLGCSWlj9U3FgfBZJNgjszixR37erVuxfyp2SHvyfW185O2XfNghSKR7Fpex5KJ/pHxJbhF8RMATdHv2Q4CXwND3LI/VN7WOgFcVtm7d2gU+LELdN5IVSKdmh7RL9rXyIe2XfdghSKR7Fpex5KJ/pHxJbhF8RMATdHv2Q4DHqGfeKI/VN8WOgNcuLr300u71Bdh6++23r/gYroZzinbo9tXMR9ihEbDTLL9jyUX/WB5vEfBsrJPSoR1h27ZtbUBAMLBGQKy+KXcEBLktW7Z0oz3M6pSvRiTgjTjblMWZlZsyH8A87Mg9b2+exWUsufCr5fEWAc/GOikd2hHw9QFZnBkvpecbq2/qHQGvL+j1OPHOHhamzrep27Fe+Ag7cs/bm2dxGUsu+sfyeIuAZ2OdlK6mI3zhC1/oRj94MV1vrL4aOgImtODzSHIbVya06C/B12CH5qeUDjtsZFh/9pYLPoIPIDDEryLg2T6TlA4BVH7YN8pj9dXUofHlCL0e5xlnnNHdzq3JDuHP2ocdFirDTji2hrR0PfaP1MI0F36V4iE51g+GyEXAE3R79kMA1WpKozxWX20dAc/wZEILRnp4Zw8rtOzcuVPDUkyzuIwlVxsfJaDDDhuZ8Ku14VKDX8VKK2qlGTi89ceumJDLYcYmTvpYpeS8887rdOdyVp0ogwOVjulyVt+y5LZv397e4pQVWk488cR2tKfbbKWX1b68brbeWvnI7Q07fPt5jq/kw6+mhTP4iBGefVGTlMKBmc2Ss0Z5lpylv4YrJqvdKMMHZs8666z2OSaWeitNaNG/Z3EZS65mPjTOYYdGY5YOv5phoVMsLjX4VQQ8zWwhzRJuyVnP8iw5q+oaHMhqt5RhQgu+or558+ZuAg9ezNcTWkQWexaXseRq50OwDjsEiXQffpXiITkWlxr8KgKesNqzZwkvyeE5lizLhWn7Jbm8CTU4UN5mK3/TTTcVJ7RoeRaXseTWCx9hh/a6WTr8aoaFTrG41OBXEfA0s4U0S3hJ7le/+lVz2mmntUEPe3yJgNlqcCDWjtKEFmAjWwk/OS77seTWEx+CZd9+LJzZeoMPmz0WP2+5GviIgGf7TFLq4Rj33ntvN8rDpA5mq8GBhtoBHE444YQOC7yYLyu0eOCs2+Otbz3yofHK0974eesLPnLG9ua9cWb11cBHBDzbZ5JSlvA+OT3KO/nkk3vXnpTKa3AgaWvfPrdDT2jBrV5MaMH3BPvw0/rHksvt0G3S6bHax9Ybdmi2ZmkWP2+54GPGgU554wx9EfA0woW0F/AyysN0faTnbeu5I8iEFr1CyzXXXFOc0KKx8uJDdLL61jMfgoXes7iMJRd8aLZm6eBjhoVOAZcIeBqRQtrLgWSUh4CHZ3n6+ZVV9Ubo0Fh2TVZoAS56hRYLE5R58SH6WX0bgQ/BZEycgw/NwizN4jKWXA39IwLezJ+KKU8HwsgOJ3bcyps3yqvBgYqgqQPz7MAzvIsvvrjDBS/r33nnncULAk8+0ExW3zw7xGRW31hyYYcwle6DjxQPybG41OBXsdJKYXUVkCx/7IoJjBxmaGLlEQQ9PMtDXurJ93CgvMzKM/Xid2PJsXZ8/vOfT1Zoweo0+LxSbvPU7RirfWy9LB+svrHkwo7ZOUr3keCjjEuM8OQypmcPZ2I2Vu6uu+7qZiliJFPa0KGZja13LLkhdpQmtGgcarBDt7eUDjtsZFhchviVXVNaytbrLRd2pDxIzhtn6IuAJ+j27BcBPKbj47YmvpuH1VisbaN2BExowUd09YQW5GWFlkXwYeGfl21UPnIc8nzwkSOyN8/iEn61NvxYnCEXAc/GOikdAmjyw0IG+jBZQ1ZfwXqb1rbRO4Ke0AKsZELLIviw8M/LNjofOR6SDz4EiXTP4hJ+leImORa/IXIR8ATdnv0QQHvUdIdE37xRXnSEpn0pHRNa5OJAPjk0b4YrwBacO+ALCVYu+LABZPHzlgs+gg8gMMSvIuDZPpOUDgE0+WEhI/rmjfKiQ88AxLNOWaEFE370Ci0zqTQlOKelK3OsXPCxEjuUsPh5ywUfwcdQ/4uAZ/tMUurdUbW+vlFedOiEhu6TQ/Jah6zQkkrNchrnWenKFCsXfKzEDiUsft5ywUfwMdT/IuDZPpOUendUra9vlBcdOqGhzWBCC1ZkKU1o0b/QOOvyPM3KBR85cnvzLH7ecsFH8AEEhvhVBDzbZ5LSIYAmPyxkcn2lUV50aBtA4Fea0KJ/keOsj+k0Kxd8aNRmaRY/b7ngY8aBTnnjzOqrgY8IeNpTCuwSXegAACAASURBVGmW8NXKPfLII92IBR9Mla0GB5K29u0XZYes0FKa0LJaPkq2LMqOUn1SHnYIEuk++EjxkJy3v7D6auAjVlpRK6qAWOtvGSsXXHXVVe3qK8cff3yDAIh2wIGs9uRly2hfXifybL2LtgMf2MUtTjzbw99ll13WPProo3T7pmKHhfEQnMOO8fqvxV3wMT0+YoQnl0U9ezgzs61F7oknnuhGeZ/5zGfa6mq4YmJwWYYdWKHlnHPO6V5fwAv9O3fuZJpHPwNYhh1Wg9fiV5a+sMNCZdizIFtDWsryFnykuEmOxW+IXAQ8QbdnPwTQHjXdoZI+BDrcnsNoBQEwOkIHWZIo4Yd382644YYu6GG0d/XVVzeY6NK3lfTlvwk+ckT25ln8vOWCj+ADCAzxqwh4ts8kpUMATX5YyJT05aO86NA2gCX8RPqhhx5qtm7d2t7exAXEueee2/zwhz+Uwyv28/TJD4IPQSLds/h5ywUfKQ+S88aZ1VcDHxHwxEt69izhHnJYM1JGeV/+8pd7WjU75FHvTNuwKyb9u1J6jI6ACS0XXXRRN9rDqPnWW281m8jiN4YdaDDbPlYu7DDdwB3n4GNaOIOPCHg2J0kp67gecjhRyztmZ511VtKOUsajXq3bW9+YJ9jt27c3WI5MZnJeeumlzdNPP63NpU90Y9qRNLiQYXkLO2wAWfy85YKP5fERAc/GOin1dvB5+q677rr2BL158+Z2tmHSGCMzT5/8ZCy5sTs0JrScf/75XdDDEmUPP/ywwBIBr0MiTYzlL2y9Y/tVitbKXNixEhOUsLgsQi4Cns1JUroI4JMKsgxGeTgpb9q0qbn88suzoyuzy26ftICtdwonpnxCC0Z8119/ffvJoZrsEOytfdhhoTLuCdZuUVo6hf6RtijNrSe/ioCXcmvmWMI95fACOgIeTsx9Ey7QYM96F6FvSh36gQceaCe0yC3O0047rXnwwQdN3vPCKdmRt20Ib2GHhd54/Sj4WB4fEfBsrJPSMQIKnjO97W1vawPevFHeGO0DQGy9U+vQzz77bIMX/SXo4fWFW265JeHcykzNjryNtfIRdvxzDoGZZ/kdS66G/rEfGrle/m666aZ2VISREdK12/Xxj3+8s+cf//Efq7dnanx86lOfao455pgO4xNPPLH5yle+Ejivo3PC1Hwu2jNuvIkRnnktlRaOdcV09913N/gEDkYiWGC6tI3VPrZedHJmY/V5yuF28emnn96N9vDsdPfu3WZzp2wHGsziEnaY9NL4sTizcsHH8viIgGdjnZSyjusth46AkarcesMXAqzNu15vfVPv0E899VSLs7wOAryxYkv+VfWp28HyFnZYvYi/YGBxZuWCj+XxEQHPxjopZR3XWw4d4ec///ncUZ53vd76aunQskKLXGBgbU4sQi1bLXZIe0v7sMNGxtvvWX3Bx/L4iIBnY52Uso7rLScd4Y477ugd5XnX661P7EhANTLe9a5GHyYL4eV0CXp4af3ee+9tW1uTHQa8XVHY0UGRJFbjL4mCLMPqCz4y4PZlWfyGyEXAs7FOSocAmvywkGH1SUf4xS9+0U2lx6gjXwyZ1TeWnNhRgKMrHqt9Vr24yMhXaPna177WtbUvYemz5MeSq5EPC7+ww0Ilbs3aqOzFJQJeCR1VPoUTkx7l3X777ap14zk4i0utJ6bHHnusXXhaRnv4ViHe45u3sbiMJVcrHznuYUeOyN58+FUZlwh4NjZJ6RQcCBMo8JI0Tr6YuYlRn2xjtY+tt+YTE3DHiiyY0CILAWCB73yULVxgz+IyllzNfGicww6NxiwdfjXDQqeASwQ8jUghPRUHwrMkGW3oUd5Y7WPrXQ8nJryqcNxxx3X44+KjtAIOi8tYcuuBD3TVsMM+YYVflXGJgGdjk5ROxYEwqjj11FNXjPLGah9b73o5MX31q19trrzyyi7o4RkfbjXnG4vLWHLrhY+wI/e8vfnwqzIu+wEc+YMDSbpvv2fPnknK7dq1q/3oJ249Id1nA45N1Q5pt8UHTrBYCgt/eEevVjvERr2vhY/bbrutvcUpPFxwwQUNvsggttRih7S3tA87ZudGjZE3LlY/1/VJ2rteb3012BEjPPtiICmFwzGbtxwcyNowUxO3Nj/4wQ+27+l51+utr2RHbpt3vd76tB2PPPJIg+8Vyi1mPFeVhQG86/XWp+3IOdB573q99YUdmq1Z2htnVl8NfETAm/lJMcUS7i1XciD9LO8LX/hCO7IoNl4d8G4fq69kh2pam2T1jSWX2yGfHNIrtGDU/cwzz+Smmfmp2GE2LibflGBx72+5X5UqHstf2HprsCMCXsm7VDlLuLdcnwOde+653SjviSeeUK0tJ73bx+rrs0O3ltU3llzJDqzQImueYsTXN6FlCvaW7NBtQ3osnNl6w46csb15Fj9vuRr4iIBn+0xS6u0YrL4+B8LtM7md9rnPfS5pbynD1ust12eHbqt3vd76+uzAR3svvvjilhM828Oo784779TmrUh7t4/V12eHbiSrbyy5sEOzNUsHHzMsdAq4RMDTiBTSU3UgeZa3ZcuWBktizdumaoe0e6z2sfUyJ1jcYsYL6nIxgm8ZYj1Ua2Pr9ZZj7EB7vev11hd2WF41Hm818BEBz/aZpNS7o7L65jnQww8/3I0o8HL0vI2t11tunh3Sbu96vfWxduAL6npCyymnnGKu0OLdPlYfawerbyy5sEN6TroPPlI8JAdcIuAJGj37KTsQFjrGLTS8EzZvlDdlOwD/WO1j6x1ygsWElptvvrm9tSmjPVyUTGGFnCF29HSL7hCLn7dc2NFRkCS8cWb11cBHBLzEVewMS7i3HONAmDCBgIeTKmYI9m3e7WP1MXag3ay+seRWY0c+oQUjP5lkVJMd4VczBLx5W41fzVqzMuXdPlZfDXZEwFvpLytKWMK95VgHwovPCHiYKCEn0xVGjBhQWDu88fPWt1o7MKEFX6yXkZ5MaPFuH6tvtXZYPoUytl5vubDDZsQbZ1ZfDXzESitqpRkQa/15r0jA6oMDWe3Jy7CqDCZKYKT36U9/uvgbtl5vOdYO73q99a3FDryb98UvfjFZoeUjH/lIgy8y5Hzm+SnZkbcNee/2sfrWwkfY4c9bDXzECM++SEpK0TmYzVsODsRsqFc+WorRw49+9CPzZ97tY/UNscNseFbI1ust52EHAtwZZ5zRTTbCajn3339/ZmGanaIduoXe7WP1efARdmgE7PR64iMCns1xUsoS7i03pENj5X4EO9w2+8xnPpO0XzLe7WP1DbFD2tq3Z+v1lvOyAxNXwJE8ewVn+YQWbf9YdpRep9BtQ9q7faw+Lz7EHrZeb7mwQxhI9944Q18EvBRjM7cI4M2KssKhHeGqq67qnuVZo7xa7MhgWJFdL3bs3Lmz+5I9gp6e0KKN9raX9av/9b+a5rLLmuaSS/b+/dVfNc1jj+mW7U17t4/Vx9rB6htLLuxY6VMoWQQfEfBsrJPSRQCfVFDIDO0ImLDSN8qrxY4CHF3xerIDoyi5UEHQA3+33nprZysS3vYyfoVgd/nlTfO///esKf/zfzYNgt7/+T+zskW0j7WXsWPM9oUdqZ9IjsVlEXIR8ISFnv0igO+prju0mg6NW2U4ceIPn6zRW0126Hbn6fVoBz77hHcphTvM6sTsTmze9s7zKwS5PNgJBxL0tGt5t4/VN88OaTOrbyy5sEOYSveL4CMCXoqxmVsE8GZFWeFqOkLfKK8mOzIokux6tQPPYWVCCwLf1q1b2wkt3vbO8yvcxsQIT78krwlA0Psf/2NW4t0+Vt88O6SFrL6x5MIOYSrdL4KPCHgpxmZuEcCbFWWFq+0IMsrD7TH9Xl5tdmRwdNn1bAdWaMECAnJrGoHv6quvLgafDpQBI8F5foVndtjGwpmtd54dgg2rbyy5sEOYSveL4CMCXoqxmVsE8GZFWeFqO0JplFebHRkcXXYj2PHAAw90E1owm/PUU09tsHZq38biMs+vIuD1oex/ITCPD2kNy+9YcjXYEQFPvKlnX6MDbdu2rZuxiXe/sNVoh0XLRrFDVmjRry/gawyljcVl3onJCngyU1PvpR1svd5y8+wYu32svWGHMJXuWfyGyMVKK4XVVQCi/LErP3jLoSNIG/r2Vr0Y5WESBE6W5513XqvHkrP0esutxY5ltI+1dww7sELLZz/72fYWJ7jE30UXXdQ8+uijK3zDww6cciTgaX3pqWgmA360nMWXlHnLjcHHIuwNO2bnWvGVReAM/4sRXt6TjTzAZzZvOXQEZivVi9GAzPrDB2NLcnkd3nJrtWPR7WPtHdMOvUILOD3hhBOa3bt3J9B42YFJK5ipWZq0gmOQkY2t11tuTD7E9r49a2/YYaPI4jdELgKejXVSOgTQ5IeFDKtvrR0B73hh6SqcIDHNna3XW26tduQwereP1Te2HQhAN9xwQzKhBROUZEUULzv6XkuQY5jFKRtbr7fc2HyI/aU9a2/YYSPI4jdELgKejXVSOgTQ5IeFDKvPoyPoUR4WmWY2tn2snIcdut1svd5yU7Ej/+TQSSed1DzyyCP0BQ1jhwQ27GWTl9F1sMMxb5xZfYwdY7Yv7BDPSfcsLouQi4CXcmHmFgG8WVFW6NGh9SgPz/KYzdteDzt0u73bx+qbkh2Y0HLxxRd3t6wxir/xxhsbvNYwb2PtQLDTS4vJrc5cP4uftxxrh3e93vrCjtyj9ua9cYa+CHg21knpIoBPKihkvDqCjPIw4QHP8uZt3vZ62SHt9m4fq2+KdoBbeWcP/J5//vntJ4cEK2vP2iG3Si0duozFz1uOtcO7Xm99YYf2plnaG2foi4A3w7eYWgTwxcrUAa+OIKM8nBDxLG/e5m2vlx3Sbu/2sfqmagduZ2LhafCLkR5m5957770C14r9VO2QhtbOR9ghCNh7lt9FyEXAszlJShcBfFJBIeN5Yrrtttu6EyKeAfVt3vZ62oF2e7eP1TdlO5577rl2RRYZ7SHw6Qktmu8p2zGE37BDszpLs/7sLVcDHxHwZn5STHk7BqvP04HwbOfkk09uRwCnnXZa77Metn2snKcdIImt11uuBjtwMYM1OBHw8IcJLfkKLTXYUeyM6kDYocBQSW+/Z/XVwEcEPOUopSRLuLectwNt3769OxH23fKauh3e7WP1efPB1jtU7umnn25vXUvQwx7P+mRCi9jxgx/8oLnvvvuaf/3XfzVdf2i9phJV6K1P7FBVmEnver31hR0mbQu5sI2VVtSKKnBk6897hQhWHzqC1Z68jNX3b//2b+0oD896MNrDKh65LuRZfayctx1svd5ytdlxyy23NMcff3x7Kxucn3322c13v/vd5hOf+ERz2GGvag466BXNUUf9fvOiF/3X5g1v+N3ma1/7WuIP3vh566uND6uvoSzsWN55N0Z49sVFUgqnZDZvOXQEZhtSL0Z2cuVfGuUN0ce0bxF2MPWGHU27BBkmtAjnr3rVq5vDDvt/mj/5kwe7L5ljKbEPfeiu5sADD2tuuum/d9B64+etL/yqoypJeOPM6quBjwh4iavYGZZwb7lFOBBua+EZHk6ApWd5NdhhM5WWhh178cAKLZjA8ju/8zvNwQe/rjnvvKeTYCcLQp9zzuPNIYcc0Y4C8Utv/Lz1LaJ/pB5k58IOG5ca+IiAZ3OXlHo7OKtvUQ40b5THto+VW5QdCUlGhm0fK1e7HUcd9dvtSE4CnLU/9thPNief/CctmiwuY8nVzoe4bNghSKT7RfhVBLwUYzO3CODNirLCRXWEeaM8b3sXZUcG14ps2DGD5Kc//Wnzwhf+RvPxj//CHN1J8MOtzt/8zde3P/TGz1tf+NWMX53yxpnVVwMfEfC0pxTSLOHecot0oG984xvdc50777wzsbwmO5KGZ5mwYwbI448/3j6jk8BW2p999r82hx56RPtDb/y89S2yf8yQW5kKO1ZigpIa+IiAZ3OXlHo7OKtv0Q6EVVfwLA9fVNDLSLHtY+UWbUdClsqw7WPlarYDAW///V/Y4DldKdih/H3vu61529ve0aLI4jKWXM18KDetIlDo9pbSNfARAa/Enipfrx0a62rK7D28pyWbt701dASxvW9fox1YZPr6669v19t85Stf07z1rZ/oDXhHHHFM8573/L/tt/C8/cBbX418WP4VdlioLGbSVAQ8G+uk1LujsvqW0RGsUR7bPlZuGXYkhO3LsO1j5WqyA4Huuuuuaz8UKxc1f/iHf9jsv/+Lmg98YLsZ9I499q+bl770/27++I//uDn11FOb+++/34J1RRmLn7dcTXysAE0VhB0KDJX09hfoi4CnAC4lFwF8qS5dvoyOYI3yvO1dhh0aN0lvRDueffbZ5uabb+4+/CvB7tJLL21fLH/729/evmj+6lf/UbNly39vTjrpvuaP/uj/a448cnPz1rce23zkIx/pRv14WV2v0CK45ntvnFl94Vc5E3vzLH7ecjXwsR8auV7+brrppmbTpk3tH9Lrxa5F23HiiSe2mOFkiNU2Fl1f6Pfvc+DtkksuacCh9AHsTzjhhPaW5j333NO8733va4/93u/9XgPOf//3j2te//rfaY499h3NX/zFXzRf//rXm507dzZXXHFFs3nz5k4PZL/85S+HX6yjc+VG7YMxwrMvkpJS7yshVh+cktlYfSW5fJRXksvbwsoty47Vtq9mOzDZCKMwTDySzwNhVIdFBXbv3t2tn4kXz2W0h8A4b8Mnh2Sxcfyu75NDLH7ecuFXNoveOLP6auAjAp7tM0kpS7i33DIdSD/Le+KJJxL7SxnW3mXaodvKto+Vm5IdeJcSn3xCoJNAhoCHQIcFoWWhaOCBLyiIDD4Qi1Ecsz311FPNVVdd1f0WOhA4sXKL3lj8vOWmxIfGQ9KsvWGHIJbuWfyGyEXASzE2c0MANRVkhay+ZXYEXNHLt9Qwq4/ZpmiHbjfbPlZumXyU7EAgw0o5sjycBDLk77rrriTQQQcmr+ATQZDD7U28njDUDryzKTqgBxNa9CeHWPy85YbaoTG10t7tY/WFHRYbMUtz7tp+cmsOzy6QnrexDjmW3LI7gtz2wgr7zCiPxWXZdgjvbPtYuTHt6At0CIA4btmBySoSFGWx8NXYgcApdwFEn0xoseoVDvTeW241duj25Gnv9rH6wo6cib15Fr8hcjHCs7FOSocAmvywkGH1LbsjIMhhlIdbYwh+87ap2iHtZtvHyi2bD9iBQIbvGFojOgl0JXtxy1OC0+WXX96N/lZrB9oCnXInALoRBHF3gNlYnFm51dpRaitbr7dc2GEz4o0z9EXAs7FOShcBfFJBITNGR0CgQ8DDSW3eKI/FZQw7ACnbPlZu2XbgViICnZ6Mgmd2CDoIPvmm7cCtS3m+h9uReiWdtdrxwx/+MAnAW7ZsaW+z5u3J87p9+TGdZ+XWaoeuE2m2Xm+5sCNnYm/eG2foi4BnY52ULgL4pIJCZoyOgCCHW5q4ep83ymNxGcMOQMq2j5Vblh24Ha9vHyLgIXjhFqIOXLnbiB3PPfdcc84557Qc4sIlH4F52CGfHIKfSEDGBBemfXm787zYkZfneQ87tE62Xm+5sEOzMEt74wx9EfBm+BZTiwC+WJk6MFZHuPLKK7tbYY8++qhqUZpkcRnLDrZ9rNyi7cgDHYIJAt2NN97YG0iEFbFj27ZtHX/46nm+edqB1Vj0LU6MSPWEFl23tE+XWWlWztMOtIOt11su7LC8YDF8RMCzsU5KvR2c1TdWR8AtK7x3hRMurtpL29TtYNvHyi2Kj1KgkxEd2z7IQZcEIIzyMNrLN287MILE6w7wF/yh/ttvv33FbdchduRttvLedni3j9UXdljsLijggRT5A/CS7tvv2bNnknK7du1qb69glibSfTbg2FTtkHaPycc111zTYonbm9///vdNLFn8xrRDsOzbj2UHntGdd955Lc64LYg/XGhgRIdby9Jmtn3gCSNC6EHQKfG2KD7QbviL2HLmmWc2uHgaagdr76LskPaW9mz7WLmwYxaDNOYsfkPkYoRnX1wkpSCB2bzl0BGYzbte6MM0dBnlYWq7tbH1jmmH1e68bNl2IJjh+ag8K5VREdbAtJ6Bse276KKLulFW/o1DbfMi+cBo76yzzurasXXr1vZFeNTP2sHKLdIOjVeeZtvHyoUdOcJ78yx+Q+Qi4NlYJ6VDAE1+WMiw+sbuCDfccEN34rKe5dViR4GGrnhZdkigk1uOMhJD8MOx0sa0D68oQJ/chrZmcYr+RfsVbqPCJrnFiT3ymDnKbIy90LNoO0ptZdvHyoUdNtIsfkPkIuDZWCelQwBNfljIsPrG7ggYbWB1DpywrFFeLXYUaOiKF21HHuiAJ4Ieno/2BTpp4Lz2ySsICHi4pfn000/LT839svwKQRjtkcCHFVq+973vmW3ShfPsFdll2SH1yZ5tHysXdgiy6Z7Fb4hcBLwUYzM3BFBTQVbI6ptCR8AsPzlh5bPvarIjoyDJLsqOH/3oR+3IRkZ0EuhkRMfW2yeH0ZS8woCAh0kr87Zl+hVujV988cWtD8kIVFZoKbWzz179m2Xaoetl28fKhR0a3VmaxW+IXAS8Gb7F1BBAi0rUAVbfFDoCRnl4DoOT9bnnnqus4J/JTMGOpOFZxpsPjNpwUpfRcR7opHq23j45PPeTC5LPfvazorp3PwYfwEM/s8SsTlwQWFufvVp+DDtQP9s+Vi7s0KzO0ix+Q+Qi4M3wLaaGAFpUog6w+qbSEbC0lZxU9QiiNjsUBUnSyw5cHODELpN9SoFOKmfrLclhgoiMHvEKwpNPPimqe/dj+dWDDz6YTGjB7U5rck3J3tyosexg28fKhR05s3vzLH5D5CLg2VgnpUMATX5YyLD6ptIRcNsMy1PhBI4Tq0yIqM2OAh30FXuJD6w6gkAnz6vk1h1uNT722GOlaul6LZxR5xlnnNFyggCLSUWWnFV5yY5cltU3RM6a0IKvc+jZqay+Me3IsbLyYYeFiv8ImcUZchHwbE6S0iGAJj8sZFh9U+rQd9xxRzfKw/fWsNVoh0XJau1A4Acup5xySocNLgrwbp0eCVt1DsHPah/ek5RRt3wFwZKz6p6CX+UTWoChLIFWkx0WvlIWdggS6Z7FZRFyEfBSLszcIoA3K8oKp3Bikibh5C4r9uM9K+RZXKZkh9ij90PtwOjq1ltv7fCQwIMRHQIdq2+1cljOS+rE7NlaR9x6Qgvswe1ZLIz9zDPPaHqK6fXmV0VD9x1Yrb+U9Hrrq4GP/WC0/KHBku7bD3mzvU+PHPPSFyutzLgUbPV+rTjjZITbdfjDyIbVV7tfCYb4UviXvvSldhKP4ID96aef3txzzz1d32FxWY0cbl3iFibqff/739/eMpX2sfqmxke+Qsuf/umftqM9sau0n5odeTtr5WM92xEjvNLljyqHAzCbtxw6NLN511vSp0d5GO1tlCtx2I1bcDKqkj2eoeH2Lp5L6a2En5ZBejVy+oOuu3fvTlSy+qbmVzACI2O5g4BgjmfGWHqtb5uiHbq9NfOxXu2IgKeZLaRZx/WWm2KH3rFjR3fixyiP2aZoh253H28PPPBAN7MQa7Qi2OFkDBzyQCc6+/SJDPZD5XAbVYLtddddp1W1aVbfVPmQCS0IeGIn3lnELWRrm6od0tba+ViPdkTAE1Z79qzjestNsUNjtIMVM3BC+vCHP9w9P+qBr7oloGREp9eEhL3vfOc726+PlwKdYODtB9AntzLRDsyUtYIAW+8U/Uqwwx6vweh3GDHywyLU+TZ1O9YLH+vJjgh4eS8y8izh3nJT7dC4jYcTL67EMeqYt03VDmm35g0jOpnuDxvxhxfv8fzy7rvvlp/07rW+PkFW7qmnnuo+6CqvIFh6WX018IGX0mWFFnCACS14yR4XI7LVYIe0tW8fdtjosP48RC4Cno11UjoE0OSHhQyrb8odAaMMedaiT0KWyVO2A+0FH1g2DSvJSJDDHu/VIdDJaGosO6xXECyc14NfCR9iH95vlJfrwcmFF17YrT86Fh8szqxc2CFsp3sWvyFyEfBSjM3cEEBNBVkhq2/KHQETCuRZCz722bdN2Q4EOrw3pwMdntHddNNNzbPPPpuYNYYdeAVBluSyFvDWDVwPfgV7cjv0hBbwhNudmEQ0Bh9W+zQHOp3boY/pdNih0ZilWfyGyEXAm+FbTA0BtKhEHWD1Tb0j4AOfMhLSK2UoU9vkFO3AM7Err7yybb8EbpxIMaKQEd3YduA9NYwyZSSNfN+2XvzKskMmtOgLk9KzzBwjS18ug/xYclPsHxofFpca7IiAp5ktpFnCveWm7kD/8i//0o2M+kZ5fXb8wR/8QYe6hZ8+LoKWnBzTe0sOS33h2ZC+TbZly5YGy1tN5bM6YsPll1/eBeSHHnpIiot7y15LuI8PLc/qW6YcRnYyoQWzZrFCy7xVbZbZvtXgVzMf2t4a7IiApxkrpMfqMDU4EJ6pyCgvvwUocPbZoQOahbM+LvosOTmm91oOgQ5T3HWgwwQQfOTWmgGo9Ui6zw6RwV7Xq8vzdJ+cXsoNz/CYrU+f/v0y7dD1su2bJycTWuQ1EfCIZ62lZ8nz9Ekbx5KrnQ/BrwY7YqUVtdIMHN76Y1dM8JaDA1ntycu86x2iDyvg45Yb/j796U+b7S3ZgY4iAQ025fXmx8XuXE7K8z3kEMzw2RyM4qSdeCZ29dVXdwsus/pKdlj15mVWvlTvt771ra69eAUENli/z8tK+nK5ZdmR18u2j5W75JJL2uebwutHP/pREytW31hy64WPGuyIEZ5cnvTs0XGZzVsODsRs3vUO1Serf+BWkzXK67NDAh7stOrVxwULS06OyR7PFK+99tpkRIeRqPWVcUYf9PbZIfViz+qz5PCsSmaLYuSCkaklp+uTNCu3DDukTXrPto+Vgx3Wl4Q0JAAAIABJREFUhJZ8hRZW31hy64kPzXcpPRbOqDcCXokVVT4WQbV0BEwAkckE1gogfXZYAU1B340AdVkfHwi4mGEpkz3QLtzGxG3B0q3LPn263j47tByrz5LDLVbBErfpsFlyuj5Js3LLsEPapPds+1g5scOa0KJXaGH1jSUndmisrPRY7WPrrcGOCHiWZ2VlLOHecjU4kEAlMx4RXPDFb7312YGAN+9P60LawhkjOv1NOgQN3OrCxI/HH388V5HkLX2JwL5Mnx1antWXy2FiijxjxJcX5JlULqfr0mlWbtF26DbpNNs+Vi63I//kkKzQwuobSy63Q2Om02O1j623Bjsi4GmPKqRZwr3lanAggQxBRU7WuLrWW58dax3hWYEOwQ4B45vf/KZuRjHN8tZnh1bO6tNysEO+q4f3APUrCFpO15OnWblF2pG3SefZ9rFylh2Y0ALuZZQMn8xXaNFt0mm2Xm85yw7dLkl71+utrwY7IuCJN/XsvR2D1VeDA2nYEOjkRKNvH/bZoQOehYs+LnVBDqMf3PKTr4xLvXie+L3vfa8VtfSJDr1n5frsWI0+Xa88B4Udi34GtUg7NA55WtubH9N5Vq7PDvgGnoECT4z08SrKvNdO2Hq95frsWA0u3u1j9dVgRwQ87VGFNEu4t1wNDqQh06M8TA6Rrc8OHdAs/PRx6EOgw+LC8ikZCXTy8VWpE3tLnz4uaVauzw7RtZp677zzzu5CIR8dr0afbouVXpQdVl26jMWZlZtnB54tY5YrAh78BBdH+SeVFtk+Lzukjay+seTm8TEFOyLgCQs9+3AgGxwLFz3Ke+SRR9of9nUEHdAsfXIcgQ7PaBDo5ASGk5gV6KS1lj45pvesXJ8dq9GHevG8U0apWLQatzbzjW0fK7cIO/I2W3m2fawcYwfwvOyyy7oLCvjMtm3bzNV02Hq95Rg7gKd3vd76arAjAp7VM7Myb8dg9dXgQBlU7QQReZaHYIStzw4JaJCzcJHjekSHgIf8vNVHLH15e0v1WnJ9dmh5tl58QPf888/vTsalFUNYfayctx1svd5yQ+zAFz7kwgJBD/6jb7sP8YMx7dB+Vkp7t4/VN4SPUtt1OVvvELkIeBrhQnoIoAUVSTGrrwYHSgzbl9Gr++N5Wp8dEtDwUwsXOY6TlJyocEtTZjBa9UuZpU+O6T0r12fHavRhOTOxCzNMSxvbPlbO2w62Xm+5oXZgIpCsDATccWGmV2jxbh+rb6gdJT+RcrZeb7ka7IiVVgqrq8AZ5C9WYJhhIZhgX8IFtzKxmglGYvgSATqC/p1Oo5NKXvTt2rWr/R1+jw37k08+uX12h1GRyMnvSntvuT47dBuYemGjYHT22Wc3sEvr0GlGH+RZOU87htTLto+VW60dX/rSlzrs4VsXXHBBu+oOW6+33Grt0D6i097tY/XVYEeM8OSyqGcPZ2I2bzk4ELN51+uhTz/Lw4vgzIYgoKeUy4gOz+70iM6jfbo9rD4vPvA1BnkWKaup6PbkabZ9rJyXHdJOtl5vubXYgQkt+kO/eCUEi6Ez25TssNrr3T5W31r4WJYdEfAspLMylnBvuRocKIOqy2IyhjzLO/HEE7tyK4FnVwh0uNqWW3x43oLZizrQyW+9cWb1efGBGaywE/YimM/b2Paxcl52SLvZer3l1moHLjywMpD4HPhAvvR5qEXZu1Y7pF2y98aZ1VeDHRHwxEt69izh3nI1OFAPbO1sOKxo/9KXvrR52cte1rzuda9rPvGJTzQ//elP25/h1qce0eGEg0CH51nWbEWpyxtnVp8HHzt27OhOsFgFhtnY9rFyHnbodrP1est52YGP7MLv5ILrrLPOam9xaht1eqp2SBu928fq8+JjkXZEwBN0e/Ys4d5yNThQD2zNX/3VXzX7779/85rXvKY5+uijmze/+c3N4Ycf3hx66KHtx1dlBIgrbJxwbrzxxt5AJ3V548zqWysfePFZvuWG1VSwMDSzse1j5dZqR95mtl5vOU87sEILvrYgoz34Ji68sE5nvk3ZDrTVu32sPk8+FmVHBLzcm408S7i3XA0OZMDVFuGzQS94wQuat771rSvWynzlK1/ZHHLIIe3JRY/ovPHz1rcWPnDi1KNZvFLh3T5W31rssPhm6/WW87YDE4duueWW7lY8gh9mdepl3mD/1O3wbh+rz5sPtt4hchHwrB6clQ0BNPupmWX11eBApoFN02Dm4ate9aoVwQ6vGRx77LHNr/3arzV/93d/l4zoWFzGklsLH1jPUUYPSGOr0Q6L7/VmB54pYwQufOGiTC/35m3vWvxqI/Bh2ajLhvARAU8jV0gPAbSgIilm9dXcEfDs7rd/+7fNgIeghxEeXgbWG4vLWHKr5QPPKuX2rV5NpTY7NFc6vR7twGemZHKRBD6s0IKRure9q/UrzYFOe7eP1VeDHRHwtKcU0izh3nI1OJAFGSacIOAdddRRxYD34he/eDIrXbC8rYYPYIFJEDhp5q8gsPV6y63GDotnKfNuH6tvGXY88MAD3VcswCEuWHC7ntmmZIfVXrZ9rNwy+FirHRHwLASzMpZwb7kaHEhDhZO7fJPud3/3d5sXvehF7e1LjOj03xvf+Mbmt37rt/RP27Q3ft76VsPH1Vdf3d0aw2sWevNuH6tvNXbodudptl5vuWXZgdEeZtTKSA+zObHaz7yNtXdZduTtZdvHytVgx35o5Hr5wwvOGFngD+n1YtfU7fja177Wvm7w9re/vcMfHLziFa9oDj744LZMnt3h1YTnP//57fO7qdu11vbhGeXmzZtb+/Eu4s6dO8MnKz7f4CPHxxxzTOfjH/7wh5uvfOUrwWlFnMYIL7/sMfLsFY63HE64zOZdL6sPs9puv/325JYProIxGxEP/n/5y182H/vYxxrcvjzggAPaiSoHHnhg85a3vKV9qTy3ja13LLkhfGCaOyY7AI/8g65idw12SFv79hvJDvnkkIz28JpJ/ixasGJxGeJXortvz9brLVeDHRHw+jxn3zFvx2D1TdWBsBIFAh3Wt5SOrwNdDinswLfyfvzjH7dLakEWwSB/uZzFZSw5lg9cCOivIJS+6jB1O8ZqH1svywerj5V78sknG710HvzZWqGF1TeWHWz7WLka7IiAl5+djTxLuLfc1BwIgQ7PofBRTXRyWZkC7yqVPm0DOLUdWEoLv8Vf/oUAb/y89Wk7DDfpir74xS92NlofdBVB7/ax+lg7WH1jyY1tB15VkFE8/Dn/5BCLy9h2iD+W9uvJjgh4JZZVOUu4t9xUOoJ8fFW/m4QOfvrppzdYlsla71LBlwQ8yOLEgN/nozxv/Lz1MXzgc0hbtmxp7dOvIGg8JO3dPlYfYwfayOobS24KduDWtR7Nywot8HMWlynYIT5p7deTHRHwLIazMpZwb7mxOwI6LQKaTKtHkMIf8ijHrTtmy+0ojfK88fPWl9uR244RMIIcRr448c1bOsy7fay+eXaIXay+seSmYgf6CSbJybuW6CPnnnvuitduBNd8PxU78nZJnuW3Bjsi4AmrPXuWcG+5MR1o9+7d3a1LCXQYmelP9bD25naURnmsvrHkcjtyl5GV9xHw8tu1uSzyU7VD2jpW+9h65/GxbDvwBXW53Y8+gwCIfjRvm5odeXtr5cOyIwJejoqRZwn3lhujI+C5BKZbS5DDPg90AhFrr2WHNcpj9Y0lZ9khWGh7zjzzzLm3efG7Kdoh9ozZPhaXPj7GsgMTsfSFD/rPDTfc0PvJoSnasRr8arAjAp5mtpBmO6C33DIdCLcocRsGHVQmo+AZG2ZjYkRmbay9lh3WKI/VN5acZQdw0a8gALPvfve7FlwryqZmR97AsdrH1lviYwp24MIRK+vIhSOef5cmdk3ZDmC5HvgQOyLg5b3DyLOEe8stoyOgE0qgk86JjopbcvlrAzk0rL0lO3BSkDqxoDKrbyy5kh2XXnppZ8fDDz9crR2r5XdqfEzFDjzD1V/IwC3O2267LW9eMqlrxUFVMBbObL2l/qFMaJOsvkXI7Qel8ocGS7pvv2fPnknK7dq1qx2dYJUPpPtswLGp2iHtXiQfGNHhViVGc/KH0QkCD55FSBv69ix+fXacd955bf3HH3988+1vf9u1XrZ9rJxlB77hJ/hde+21bftZfWPJWXZYPI/VPrbeWuzAJ4cwc1f85IILLkj6WC12WD6iy2qwI0Z4+eWHkQepzOYtBwditiH1Ipjpq06MsDCiQ6fELENsQ/Qx7euzAyNMGeVhdXpm824fqy+3I/8KgnwslNU3llxuRwnzsdrH1luTHVihBTN4xdcx2sNzX2w12VHylVrsiIDXx+C+Y2wH9Jbz7AgIdBdddFEydRqB7vrrr2/wJW69LdsOCcAY5T3xxBO6KWbau32sPs0Hgts555zTnsCAI/CVjdU3lpy2Q9ps7cdqH1tvbXbAZ9DfJOhhj4UJsBYts7G4jCVXAx8R8AhPq9mBcCKWFftxSwWdrBToBApve+d1BBnloX19K5Msqn2svdoOvbTUVL6CsBo7BFNrz+obS07zYbVfysZqX6leLDWHxwcS+HChhwUL5m0lffnvxpKrgY8IeLm3GPkaHQgjpWuuuSYZ0SGgoCwf0eUme9vLdASM8tA+3OqZN8rzbh+rT+zQk20wYSWfxcrqG0tO7Mh5z/NjtY+tt2Y7sLas3CHAnAMEPzw/z31Jc8LiMpZcDXxEwNMeVUjX5EDoSBjRIXDIFST2+J7Xt771rYKFabG3vUxHwChPRqDzRnne7WP1wY6f/OQn7dcPgOkpp5zSvpKQouf/DJRtHyvH8AGbWH1jydVuB4Ib3tGTgAefwozp0gXfWDiz9dbARwS8/Gxl5FnCveWGOBA6ybZt25JAh6CH4CfPl7zbx+pj7cCMTXT6eaM8tl5vOdihX0EoraLhXa+3PpYP73q99a0XO7AsmV6nFp8csnzLGz9vfTXwEQHPCHB5kbdjsPoYB0Kgw+zGfESHsvxKka3XW46xA5g/+OCDnR0I1KXNu32svksuuaQbNfeNQll9Y8mxfIzVPrbe9WQHvqqOPosLPvnDii0ol43FZSy5GviIgCfe1LOfogPhpXAZ0cmtQHQUPAvD7UFrm6Idup1on54MMiU78BIxvl4OjDG9XJ+ItA1Ij4UzW28NJ6YcUyu/Hu3YsWNHgxGeBD2M/GRCC8vvWHI18BEBz+pJWdmUHAiBDqug6FleCHh9gU7MmZId0ia9R/swKpXRKmyytmXbIa8g4FkL2ia3iK22oWzZ7ZN2sPXWcGISm/r269UOLFWHb0xK0IPPYYUWlt+x5GrgI1ZaUSvNwFGsP3blB285OJC0B4EAq3rglQIEOPnDc6+vf/3rnZzIW3vv9rH6tB1Wu6RM9OHWjthnrZgjcvK70t5LTtqDgAcOSvVJuVe9i9I3lA9pR2k/lr3r2Q58egu+hlcWpC/g+5NYp7XEg5QHH+XzeIzw+i4h9x2DIzGbtxw6tDWiw5UflgXD+zzYvOv11gc7mE3qnTfKE7l5Oj3kgLFcaX/gAx/onTYu7fGoV3Rh761vKB+6LVbau32svo1gB1bzkU8OIfDhgve+++6zaOjKWPy85WrgIwJe5yblhLdjMPowZfkv//Ivk1uXEuj0N+nQakbfmHKr6Qj6Wd4DDzyQkLMse/UrCHiusn379qQdpcyy2pfXz9a7Gj7yunSerddbbqPYgVvq6A8IeHLxhXxpcXdvnFl9NfARAU/33EKaJdxDDoEOAQ0jOP1+TumbdGiyR73adG99q+kIeI6Bq1l0cLybpF/I9W5fSZ9+BQGcrMYOjWueLtW7aLmwI0d4b37qfNxzzz3N1q1bu6CHkR8mU+Xb1O0Yq32oNwJe7i1GfhkE6UAnV3EIeH2BTpq6jPZJXXrP1rvaEyzeTxIs9CiPrXctcpgkIHXjpX1sq7VDY6bTa2mf1iNpVl/YIYilexY/b7khfOBCUF+IYUJL/s1K7/ax+obYkSJv59h6h8hFwLOxTkqHAJr8sJDR+qxAhxMtZmH+zd/8TTKyKahblyM82IpbijJFG68CyKbxkzJrv1o5rFYjs2BxFS23jmro0BYOeVnYkSOyN79af7G18XdeVsMHgpzcAcH5ArM60V+w1WRHCbtF2REBrw/xfccW5UBYkxEjOBlJSKCTj6+upiP0mbMoO/rqxLG12KFHefKwfpF2yCsIwgk+6CrbWuwQHXq/SDt0PXk67MgR2ZuvjQ+M9mQ9Tvgr3tnDJKva7LDZWEzg3tABrwR0Xu7tQJhqj3fM5KSaBzqpP05MTTu6ktEWLg4wIvbmQ+vDy/zCCy489BZ8aDRmaY3frHRlylsu+GgaXKDhW5by7ip8F6/RyLctV7IwKxmLj1kL+lPe7YO+DRPw3vWuprH+3v3uptk3u7+IvhfwWDkEgU7PtsLJXEZ0eQOiQ+9FBPhIEMIob7V8gH9rE33gR04c559//oqTRvBhobeYK3G7prQ0+JjhgWfcsh4nzi94BGBNaJn9wp83iw/rnKvLdHvytPTLvDzPD5HbUAEvBwp5BLv3vrc/6A0B1KpDAp2ctOGQOLHicyDyfMj6neVAltxa25fr9Na3VjuAkR7lPfnkk3mTzXxuR1/A068ggBvrZLFWO/JG5u3Lj0veWy7sEGTTvTfOrD4vPuDDWINWLqjxjA+Tr/QMZ20x2z5WzrKj1Od0O0pptt4hchtipRUAKsADHPnDigQY+uugh5OrHJf9alcuwGLIWAkFDih/WDkB79fhhVLRX9rDgUrHdPlq26d16LS3Pg878CxPMPz85z8/GJeSD8Bu2IuvwYt+TAjQeEjaww7RJfXqfCk9RT50W73bx+oLPmbnMs0H7ohs2bKl82ecg3ABp2WQZnFm5XI+Sn2O1bcIuQ09wgPpsiHo4famtWk567iUiRxWCsGLoXJ7DCM7pFGGYyInvyvt4UDMxuobS87DDjyrwPfngCXeRUJ+3pbbKxc9+e/wQrmMvq+88sr8cJf3sKNTFrPpNBRJOuctOagywYcCQyWBHwIc3l8Vv5YJLUqMPg+thQ+rz7H6FiEXAU95gEUODrPAY9TWF+ikKlZfdGhBbO/+jjvuaDswRmJIz9tynC1+8QqCTO9GIO37GnzwYSOe42xL8f2I1Rd82EgLfriVef311ycX3jg/yYQWkbO1zEpZOYsPq8+x+hYhFwFvxmt321MVtcl5wOPeOb5dhduVckWFPe6nY0SXb/P0ibzlQHJM71l9Y8l52SGjPAQ8jPbmjfJye/POh99jWjf0ga/7779fw7oi7WWHKM7bJ+X53lsu7MgR3pv3xpnVt2g+8HkhWY8Tfi4TWtj2sXKWHXmfs5G3S9l6h8hFwFNYl8gpAYrnfXi2JC9Hy4lz3qd6SvpUU9qk5UC5DPKsvrHkPO3AEl+CM5619W25vTm/mDSEEwD04Up43uZpB+rK21eq31su7LCR9saZ1bcMPnCuuvjii7sLctzVgP+XJrRohNZiB/pc6U/XYaXZeofIRcBTSOcnRDmUA4pbAngwLDMHcdLEHx4Olz5aKrqwz/XpYzq9jI6g65M02z5WztMOdNCTTz65xRv4y+0Zabve5+3T/OpXEKCvT4/o9LQDOvP2ST353lsu7MgR3pv3xpnVt0w+8ChAbuHjQg8X57JCi40K76eWHbrPlfSXyln8hshFwNuHNjNpBY6BqyJ530UCnYzohgBfIlmXWw6kj0vau15vfd526EkmmHZd2nI7pPOBR+EQnf/73/9+SUVS7m1H3r6kMpXxlgs7FLgq6Y0zq2/ZfOADxpjQIndK0Bf0ikIKkja5Fjukz2mdrL5FyEXAU+/iPfigpmWWxnM4jOjk1qUEOjz/WeSixsvuCGKxt6N524GPY+I5BHjAKA+3a6wtt0M6H56tCocInrmcpQtl3naw9XrLhR02w944s/rG4AN3Sq699tquH6A/YJUh607HWuyQPqcRZ/UtQm5DBzyQgCCHF8+tYIdJDTghyi0AOUki0GGCQ37/25ugMToCMKnBDlxoCB+4GLG23A7pfPI7PNMAh7mcpQtlwYeNDIuft1zwsXY+du/e3d3tQL+QCS1aM8ubxYf0udXoY+sdIrehAh7Az/+spcVwEkSgk29PydC/FOiEzCHAy2/69pYDWfLe9XrrW5Qd8p4RRnnPPvvsCmhyO6TzoWNjtC6vIORyKxTtK1iUHaX6pJxtHysXdgiy6Z7Fz1tubD5wix+PZeRCEBf4d955Z3dBz9pr2SF9TiPN6luE3IZYaWUecLK6Cm6VYeYfpvAiyMnfiSee2L73hePQVfrzXhkADlSqS5d71+utb1F27Ny5s+MIt2c0JkhrO8AdNuFUbmXmcrkOnV+UHboOK63tsI5LGSsXdth9mMXPW24qfODchwUypI/ICi2svZYd6HPin7Jn9S1CbsOM8PQVhqRBgGy4RZl/qkc+vionS5Et7bW+kgzKWTk4ELOx+saSW6QdWORZRmz5szxtLwKcXMHiWYXetJwuz9OLtCOvS+fZ9rFyYYdGd5Zm8fOWmxIfWIhB+hT6Cya0zHs/VRCckh3SJr0Hbxs+4OEe9llnndWdDEGyBDp5Ruft4Ky+GhxIO1QpvUg78HqBBLL8WZ7gjBVw5DksuM4fzItcqf1Svkg7pA5rz7aPlQs7LJT5C1EWZ1Zuanxg7gJWZJF+hRFfaUKLRnJqdui2IQ0+NmzAwzTcs88+uyNVrmYwEpBAJ4CxjustV4MDCUZ9+0XbIc8f8hmb4APBTWZ04nbNo48+uqKpLG+LtmNFw/YVsO1j5cIOG2kWP2+5qfKBj8lihIeAh/OjNaFFIzlVO6SN4G1dBby///u/b173utc1L3/5y5vPfe5zzS9/+UuxtduDRBmyC5E4UeJ9rvzKX37k7eCsvhocSDDq2y/aDiydJAt1Y+blpz71qeaKK65o/umf/qlNy5UqPpRpbcGHhcp4I57gYzp8YEILviQifSif0IKW4huV6HOY+3DPPfeY511tEcvvIuTWRcDDbckjjnhNc+CBr2te+cqzmyOPvKA59NDfaw4//MgGx7BhRHfhhRd2xIFAfEIDS0rJbD1Nik4vAnitv5RedKAo1ett7zLsOPPMM5sXvvC/Nr/+67/ZHHnkR5ujjrqoOeSQo5sDDnhJs3nz5nZZpdLam6y9y7DD4oRtHysXdlgojxfga+Bjx44d3WMBnDtxV+Xuu+9uz7sHHfT6ts+9+tUXNocfvjk571pIs366CLnqAx4C2gEH/Ebzlrfcs+KVg02b7mt+/ddf2n1WRq5SMBrAPWrr9taUCKqhI1h45WWLtgM+8F/+y4ubo4/eYfrAC17wfzV33XVX3qwuz3asRdvRNShLsO1j5cKODOB9WRY/b7la+MCzcLyahfMoLiKf97wDmk2b7jb73ItffEg32MjR9sZviL7qAx5Gdlawk/ftEPRwlf/Od74z+SYdSBgCVE6alffWV0tHsLDQZYu2g/EBjPZ/9rOf6WZ1aZa3RdvRNShLsO1j5cKODOB9WRY/b7ma+MD8BtwVw90U6wJTn3dLfc4bvyH6qg54uHd88MFvXHGFIaDL/iUveVPzvve9r/n617/eYFaf/O3atatLS5m1H0sOX2Kw2pOXjdU+tt5F2oHntgcd9N/m+gBuceMTTjl2yE/BDqtdUsa2j5VbJB/SZmvPto+VCztm5zKNN4vfauXQ5w488PVz+xxub371q19dcXUxJECt+LFRMERf1QHvk5/8ZHvvWAJbaY9neq95zWuS53cYlsukFbnVWdqPJbdp06YVbbbaOFb72HoXacdrX/va9rltiXspL/nAED9YpB0Wr1LG4szKhR17v24i+Mqexc9brjY+2D6H5+iYPJZvQwJU/lsrP0TffhhO1/qH9+WOPBL3lFcuGabLcLLDzE04VvytLwxe8YpX0AEvfGB9cR99eRw+2T6HSSyYuTml+FL1CI+9pVm6nbXaIb2+faDT3vrils38WzZxS3OGEet/4VczzBbZf9crH2yfi1ua1nh0jZNH1jJhYchQuND0pNhbX00PsxMgssyi7ViLD6CpLG+LtiODrcuy7WPlwo4O2iTB4uctVyMfa+lz3vgN0Vf1CA/eiinpBx54WHP00fZrCQcfPHsXL/HuASe6IYDmdVh5Vl+NHcGyd9F2rMUH0N7gw2KNx4XFz1tu0X5lo+KPS412rKXPefvBEH3VBzw4JcDHFFjM2MRLxzW8AFnqTLq8xo6g2y/pZdiR+wAemB922FvmvgSLNrIdZhl2CGZ6z7aPlQs7NLqzNIuft1ytfOR9robz7roIeHBZLAuGZW0wcxMPSjEdtvTelbi4t+N666u1Iwi+sl+WHdoHMDvs1ltvnesDaCPL27LsENxkz7aPlQs7BNl0z+LnLVczH7rP1XDeXTcBT7tuzQ4UdmgE7LT3CYfVF34VfAAB1l9YufCr5flVBDwb66SUdVxvuegICQ1dxhtnVl/w0VGQJFj8vOWCj4SGLuONM6uvBj4i4HVuUk6whHvL1eBAZdRmR8KOGRY65e0vrL7gQ7MwS7P4ecsFHzMOdMobZ+iLgKcRLqQXAXyhqqQ4OkICR5cJPjookgSLS/hVAluXYfHzlgs+OgqShDfO0Lcf/skfgJd0337Pnj2Tlgs7ZpxqHsfiLfgIPuCH3v4XfhV+NdSvYoSXXFPYGYDKbN5y6NDM5l2vt76ww2bRG2dWX/ARfAAB1l9YuRr8KgKe7ftJKUu4t1wNDpQAVciEHTYw3v7C6gs+gg8gwPoLK1eDX0XAs30/KWUJ95arwYESoAqZsMMGxttfWH3BR/ABBFh/YeVq8KsIeLbvJ6Us4d5yNThQAlQhE3bYwHj7C6sv+Ag+gADrL6xcDX4VAc/2/aSUJdxbrgYHSoAqZMIOGxhvf2H1BR/BBxBg/YWVq8GvIuDZvp+UsoR7y9XgQAlQhUztLiKuAAAB1ElEQVTYYQPj7S+svuAj+AACrL+wcjX4VQQ82/eTUpZwb7kaHCgBqpAJO2xgvP2F1Rd8BB9AgPUXVq4Gv4qAZ/t+UsoS7i1XgwMlQBUyYYcNjLe/sPqCj+ADCLD+wsrV4FcR8GzfT0pZwr3lanCgBKhCJuywgfH2F1Zf8BF8AAHWX1i5GvwqVlpRK82AWOvPe4UIVh8cyGpPXsbqG0su7Ai/gs96+1/4VfjVUL+KEZ59sZeUAlRm85ar4YqJwSXssFHy9hdWX/ARfAAB1l9YuRr8KgKe7ftJKUu4t1wNDpQAVciEHTYw3v7C6gs+gg8gwPoLK1eDX0XAs30/KWUJ95arwYESoAqZsMMGxttfWH3BR/ABBFh/YeVq8KsIeLbvJ6Us4d5yNThQAlQhE3bYwHj7C6sv+Ag+gADrL6xcDX4VAc/2/aSUJdxbrgYHSoAqZMIOGxhvf2H1BR/BBxBg/YWVq8GvIuDZvp+UsoR7y9XgQAlQhUzYYQPj7S+svuAj+AACrL+wcjX4VQQ82/eTUpZwb7kaHCgBqpAJO2xgvP2F1Rd8BB9AgPUXVq4Gv4qAZ/t+UsoS7i1XgwMlQBUyYYcNjLe/sPqCj+ADCLD+wsrV4Ff/P6YS7VjdHcTSAAAAAElFTkSuQmCC)