Content-Type: multipart/mixed; boundary="-------------9907230517766" This is a multi-part message in MIME format. ---------------9907230517766 Content-Type: text/plain; name="99-277.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="99-277.keywords" Lagrangian mechanics, Lagrangian reduction, Euler-Poincare equations, discrete time Lagrangian mechanics ---------------9907230517766 Content-Type: application/postscript; name="preprint398.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="preprint398.ps" %!PS-Adobe-2.0 %%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software %%Title: SemiDirect.dvi %%Pages: 16 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentPaperSizes: A4 %%EndComments %DVIPSCommandLine: dvips -c 1 -o SemiDirect.ps SemiDirect.dvi %DVIPSParameters: dpi=600, comments removed %DVIPSSource: TeX output 1999.06.15:1853 %%BeginProcSet: tex.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if} forall round exch round exch]setmatrix}N /@landscape{/isls true N}B /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N /nn 0 N /IE 0 N /ctr 0 N /df-tail{ /nn 8 dict N nn begin /FontType 3 N /FontMatrix fntrx N /FontBBox FBB N string /base X array /BitMaps X /BuildChar{CharBuilder}N /Encoding IE N end dup{/foo setfont}2 array copy cvx N load 0 nn put /ctr 0 N[}B /df{ /sf 1 N /fntrx FMat N df-tail}B /dfs{div /sf X /fntrx[sf 0 0 sf neg 0 0] N df-tail}B /E{pop nn dup definefont setfont}B /ch-width{ch-data dup length 5 sub get}B /ch-height{ch-data dup length 4 sub get}B /ch-xoff{ 128 ch-data dup length 3 sub get sub}B /ch-yoff{ch-data dup length 2 sub get 127 sub}B /ch-dx{ch-data dup length 1 sub get}B /ch-image{ch-data dup type /stringtype ne{ctr get /ctr ctr 1 add N}if}B /id 0 N /rw 0 N /rc 0 N /gp 0 N /cp 0 N /G 0 N /sf 0 N /CharBuilder{save 3 1 roll S dup /base get 2 index get S /BitMaps get S get /ch-data X pop /ctr 0 N ch-dx 0 ch-xoff ch-yoff ch-height sub ch-xoff ch-width add ch-yoff setcachedevice ch-width ch-height true[1 0 0 -1 -.1 ch-xoff sub ch-yoff .1 sub]{ch-image}imagemask restore}B /D{/cc X dup type /stringtype ne{]} if nn /base get cc ctr put nn /BitMaps get S ctr S sf 1 ne{dup dup length 1 sub dup 2 index S get sf div put}if put /ctr ctr 1 add N}B /I{ cc 1 add D}B /bop{userdict /bop-hook known{bop-hook}if /SI save N @rigin 0 0 moveto /V matrix currentmatrix dup 1 get dup mul exch 0 get dup mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N /eop{SI restore userdict /eop-hook known{eop-hook}if showpage}N /@start{userdict /start-hook known{start-hook}if pop /VResolution X /Resolution X 1000 div /DVImag X /IE 256 array N 0 1 255{IE S 1 string dup 0 3 index put cvn put}for 65781.76 div /vsize X 65781.76 div /hsize X}N /p{show}N /RMat[1 0 0 -1 0 0]N /BDot 260 string N /rulex 0 N /ruley 0 N /v{/ruley X /rulex X V}B /V {}B /RV statusdict begin /product where{pop product dup length 7 ge{0 7 getinterval dup(Display)eq exch 0 4 getinterval(NeXT)eq or}{pop false} ifelse}{false}ifelse end{{gsave TR -.1 .1 TR 1 1 scale rulex ruley false RMat{BDot}imagemask grestore}}{{gsave TR -.1 .1 TR rulex ruley scale 1 1 false RMat{BDot}imagemask grestore}}ifelse B /QV{gsave newpath transform round exch round exch itransform moveto rulex 0 rlineto 0 ruley neg rlineto rulex neg 0 rlineto fill grestore}B /a{moveto}B /delta 0 N /tail {dup /delta X 0 rmoveto}B /M{S p delta add tail}B /b{S p tail}B /c{-4 M} B /d{-3 M}B /e{-2 M}B /f{-1 M}B /g{0 M}B /h{1 M}B /i{2 M}B /j{3 M}B /k{ 4 M}B /w{0 rmoveto}B /l{p -4 w}B /m{p -3 w}B /n{p -2 w}B /o{p -1 w}B /q{ p 1 w}B /r{p 2 w}B /s{p 3 w}B /t{p 4 w}B /x{0 S rmoveto}B /y{3 2 roll p a}B /bos{/SS save N}B /eos{SS restore}B end %%EndProcSet TeXDict begin 39158280 55380996 1000 600 600 (SemiDirect.dvi) @start /Fa 1 108 df<1FE0001FE00003E00003C00003C00003C00003C0000780000780 000780000780000F00F80F01FC0F070C0F0C1C1E383C1E607C1FC07C1FE0383FF8003C7C 003C1E003C1E04781E0C781E0C781E18780F18F00FF06003E0161D7C9C1F>107 D E /Fb 3 49 df0 D<00380000380000380000380000380060380CF8383EFC387EFE38FE3FBBF807FFC001FF 00007C0001FF0007FFC03FBBF8FE38FEFC387EF8383E60380C0038000038000038000038 0000380017197B9A22>3 D<00E001F003F803F803F807F007F007F007E007E00FE00FC0 0FC00FC01F801F801F001F003F003E003E003E007C007C007C007800F800F800F0001000 0D1E7D9F13>48 D E /Fc 1 27 df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d 7 96 df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e 9 120 df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f 1 77 df<7FFFFFE0000000FFFFFFE00000007FFFFFE000000003C07800000000 01C0700000000001C0700000000001C0700000000001C0700000000001C0700000000001 C0700000000001C0700000000001C0700000000001C0700000000001C0700000000001C0 700000000001C0700000000001C0700000000001C0700000000001C0700000000001C070 0000000001C0700000000001C0700000000001C0700000000001C0700000000001C07000 00000001C0700000000001C0700000000001C0700000000001C0700000000001C0700000 000001C0700000000001C0700000000001C0700000000001C0700000000001C070000000 0001C0700000000001C0700000000001C0700000006001C070000000F001C070000000E0 01C070000000E001C070000000E001C070000001E001C070000001E001C070000003E001 C070000007E001C07000000FC001C07000001FC001C07000003DC001C070000079C001C0 700001F1C001C0700003E1C001C078000FC3C003C038007F03807FFFFFFFFFFF80FFFFFF FFFFFF807FFFFFFFFFFF8034397FB830>76 D E /Fg 1 104 df<000004000000000F00 0600003FC01C0000FFF83C0001FFFFFC0007FFFFFC000FFFFFFC003FFFFFFC007E3FFFF8 01FC03FFF801FC001FF801FC0001F801F80001F801F80001F803F80001F803F80003F803 F80003F803F80003F803F80003F803F80003F803F80003F803F80003F803F80003F803F8 0003F803F80003F803F80003F803F80003F803F80003F803F80003F803F80003F803F800 03F803F80003F803FC0007F803FE001FFC03FF007FFC03FF80F3FC03FFC3E3FC03FFE7C1 FC01FFFF01FE00FFFE01FE007FFC01FE007FF001FE003FE000FF001FC000FF000F8000FF 001E0000FE003C0000FC00780000F800F80000F803FC0000F007FE0000E00FFF0000C01F FFC001803FFFF00300FFFFFC060043FFFFFE0001FFFFFC00007FFFF800001FFFF0000007 FFE0000001FFC00000001E0000283E7FAA2E>103 D E /Fh 1 50 df<00600001E0000FE000FFE000F1E00001E00001E00001E00001E00001E00001E00001 E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001 E00001E00001E0007FFF807FFF80111C7B9B1C>49 D E /Fi 1 1 df0 D E /Fj 1 13 df12 D E /Fk 1 104 df<00006000000001F803000003FF0F00000FFFFF00001FFFFF00007FFFFF0001FB FFFE0003F03FFE0003F001FE0003E0003E0007E0003E0007E0007E0007E0007E0007E000 7E0007E0007E0007E0007E0007E0007E0007E0007E0007E0007E0007E0007E0007E0007E 0007E0007E0007E0007E0007E0007E0007E0007E0007E0007E0007F000FE0007F803FF00 07FC077F0007FE1E7F0007FF3C3F0003FFF03F8001FFE03F8000FF803F80007F003F8000 7E003FC0003C001FC00070001F8000E0001F0001E0001E0007F0001C000FF80018001FFC 0030003FFF003000EFFFE0E00007FFFFC00001FFFF800000FFFF0000003FFE00000007FC 0000000060000022337FA227>103 D E /Fl 3 49 df0 D<006000007000006000006000406020E06070F861F07E67E01FFF 8007FE0000F00007FE001FFF807E67E0F861F0E060704060200060000060000070000060 0014157B9620>3 D<01E003F003F003F003F007E007E007C00FC00FC00F800F801F001F 001E001E003E003C003C007800780078007000F000E00060000C1A7E9B12>48 D E /Fm 1 83 df<7FFFFFFF000000FFFFFFFFF000007FFFFFFFFE000003C0780FFF8000 01C0F003FFC00001C0E000E3E00001C0E000F0F00001C0E00070780001C0E000703C0001 C0E000781C0001C0E000381E0001C0E000380E0001C0E000380E0001C0E000380E0001C0 E000380E0001C0E000380E0001C0E000380E0001C0E000380E0001C0E000381E0001C0E0 00381C0001C0E000783C0001C0E00070780001C0E000F0F00001C0E001E7E00001C0E007 FFC00001C0E3FFFF800001C0FFFFFC000001C0FFFFE0000001C0FF83C0000001C0E3C1C0 000001C0E1E1E0000001C0E0F0F0000001C0E07078000001C0E07838000001C0E03C3C00 0001C0E01E1E000001C0E00F0F000001C0E00707800001C0E00783800001C0E003C3C000 01C0E001E1E00001C0E000E0F00001C0E000F0780001C0E000783C0001C0E0003C1E0001 C0E0001C0F0001C0E0001E078003C0F0000F03C07FFFFFC007FFF8FFFFFFC003FFF87FFF FFC001FFF8353380B233>82 D E /Fn 7 115 df<000000000000700000000000000000 F00000000000000000F00000000000000000F80000000000000000780000000000000000 7800000000000000007C00000000000000003C00000000000000003E0000000000000000 1F00000000000000001F00000000000000000F800000000000000007C000000000000000 07E00000000000000003F00000000000000001F80000000000000000FC00000000000000 007F007FFFFFFFFFFFFFFFC0FFFFFFFFFFFFFFFFF0FFFFFFFFFFFFFFFFF07FFFFFFFFFFF FFFFC0000000000000007F0000000000000000FC0000000000000001F800000000000000 03F00000000000000007E00000000000000007C0000000000000000F8000000000000000 1F00000000000000001F00000000000000003E00000000000000003C0000000000000000 7C0000000000000000780000000000000000780000000000000000F80000000000000000 F00000000000000000F0000000000000000070000044287CA64D>33 D<00003FFFF80001FFFFFC0007FFFFFC001FFFFFF8003FE0000000FF00000001FC000000 03F000000007E00000000FC00000000F800000001F000000003F000000003E000000007C 000000007C0000000078000000007800000000F800000000F800000000F000000000FFFF FFFFF8FFFFFFFFFCFFFFFFFFFCFFFFFFFFF8F000000000F800000000F800000000780000 000078000000007C000000007C000000003E000000003F000000001F000000000F800000 000FC000000007E000000003F000000001FC00000000FF000000003FE00000001FFFFFF8 0007FFFFFC0001FFFFFC00003FFFF8262E7AA933>50 D55 D<600000000180F000000003C0F8 00000007C0F800000007C07800000007807C0000000F807C0000000F803C0000000F003E 0000001F003E0000001F001F0000003E001F0000003E000F0000003C000F8000007C000F 8000007C0007C00000F80007C00000F80003C00000F00003FFFFFFF00003FFFFFFF00001 FFFFFFE00001FFFFFFE00001F00003E00000F80007C00000F80007C00000780007800000 7C000F8000007C000F8000003C000F0000003E001F0000003E001F0000001F003E000000 1F003E0000000F003C0000000F807C0000000F807C00000007807800000007C0F8000000 07C0F800000003E1F000000003E1F000000001E1E000000001F3E000000001F3E0000000 00FFC000000000FFC0000000007F80000000007F80000000007F80000000003F00000000 003F00000000003F00000000001E00000000000C0000002A3680B32B>I<0001800003C0 0007C00007C0000780000F80000F80001F00001F00001E00003E00003E00007C00007C00 00780000F80000F80001F00001F00001E00003E00003E00007C00007C0000780000F8000 0F80001F00001F00001E00003E00003E00007C00007C0000780000F80000F80000F80000 F800007800007C00007C00003E00003E00001E00001F00001F00000F80000F8000078000 07C00007C00003E00003E00001E00001F00001F00000F80000F800007800007C00007C00 003E00003E00001E00001F00001F00000F80000F800007800007C00007C00003C0000180 124A79B71E>104 D<600000F00000F80000F800007800007C00007C00003E00003E0000 1E00001F00001F00000F80000F800007800007C00007C00003E00003E00001E00001F000 01F00000F80000F800007800007C00007C00003E00003E00001E00001F00001F00000F80 000F800007800007C00007C00007C00007C0000780000F80000F80001F00001F00001E00 003E00003E00007C00007C0000780000F80000F80001F00001F00001E00003E00003E000 07C00007C0000780000F80000F80001F00001F00001E00003E00003E00007C00007C0000 780000F80000F80000F00000600000124A7CB71E>I114 D E /Fo 12 104 df<0001FF80000FFF80003FFF0000FF00 0001F8000003F0000007E000000FC000001F8000003F0000003F0000007E0000007FFFF8 007FFFFC00FFFFFC00FC000000FC000000FC000000FC000000FC000000FC000000FC0000 00FC000000FC0000007C0000007C0000003E0000003E0000001F0007000F800E0003E07C 0001FFF000003F800019217D9F1F>15 D<03E001FC000FF807FF001C7C1E0FC0187C7807 E0383EE003E0303FC003E0307F8003F0707F8003F0607F0003F0607E0003F0E07E0007F0 C0FE0007E040FC0007E000FC0007E000FC000FE001FC000FE001F8000FC001F8000FC001 F8001FC003F8001FC003F0001F8003F0001F8003F0003F8007F0003F8007E0003F0007E0 003F0007E0007F000FE0007F000FC0007E000FC0007E000FC000FE001FC000FE001F8000 FC00070000FC00000001FC00000001FC00000001F800000001F800000003F800000003F8 00000003F000000003F000000007F000000007F000000007E000000007E00000000FE000 00000FE00000000FC000000003800024327EA026>17 D<3C7EFFFFFFFF7E3C08087A8715 >58 D<3C007E00FF00FF00FF80FF807F803D800180018001800180038003000300070006 000E000C001C0038007000600009177A8715>I<0000000FF800180000007FFF00380000 03FFFFC07800000FFC03E0F000003FC000F1F00000FF00003BF00001FC00001FF00007F8 00001FE0000FF000000FE0001FE0000007E0003F80000007E0007F80000007C000FF0000 0003C001FE00000003C001FC00000003C003FC000000038007F800000003800FF0000000 03800FF000000003801FE000000003001FE000000003003FC000000003003FC000000000 007FC000000000007F8000000000007F8000000000007F800000000000FF800000000000 FF000000000000FF000000000000FF000000000000FF000000000000FE000007FFFFC0FE 00000FFFFFC0FE00000FFFFFC0FE00000007F800FE00000007F000FE00000007F000FE00 00000FF000FE0000000FF000FE0000000FE0007F0000000FE0007F0000001FE0007F0000 001FE0003F8000001FC0003F8000003FC0001FC000003FC0000FE000007F800007F00000 FF800003F80001CF800001FE000787800000FFC03F070000003FFFFC030000000FFFF000 00000001FF8000000035377CB43C>71 D<000FFFFFF000000FFFFFF000000FFFFFF00000 003FE0000000003FC0000000003FC0000000003F80000000003F80000000007F80000000 007F80000000007F00000000007F0000000000FF0000000000FF0000000000FE00000000 00FE0000000001FE0000000001FE0000000001FC0000000001FC0000000003FC00000000 03FC0000000003F80000000003F80000000007F80000000007F80000000007F000000000 07F0000000000FF0000000000FF0000000000FE0000000000FE000000C001FE000001C00 1FE0000018001FC0000018001FC0000038003FC0000030003FC0000070003F8000007000 3F800000E0007F800000E0007F800001E0007F000003C0007F000007C000FF00000F8000 FF00001F8000FE00007F8001FE0003FF00FFFFFFFFFF00FFFFFFFFFF00FFFFFFFFFE002E 337DB234>76 D<000FFFFFFF8000000FFFFFFFF800000FFFFFFFFE0000003FC001FF0000 003FC0003FC000003FC0001FE000003F80000FE000003F800007F000007F800007F00000 7F800007F000007F000007F800007F000007F80000FF000007F80000FF00000FF00000FE 00000FF00000FE00000FF00001FE00001FE00001FE00001FC00001FC00003F800001FC00 003F000003FC00007E000003FC0001FC000003F80007F0000003F8003FC0000007FFFFFE 00000007FFFFF800000007F0007E00000007F0003F0000000FF0001F8000000FF0000FC0 00000FE0000FC000000FE0000FE000001FE0000FE000001FE0000FE000001FC0000FE000 001FC0000FE000003FC0001FE000003FC0001FE000003F80001FE000003F80001FE00000 7F80003FE000007F80003FC000007F00003FC000007F00003FC00600FF00003FC00E00FF 00003FC00C00FE00003FC01C01FE00003FC018FFFFFC001FC038FFFFFC000FE070FFFFFC 0007E0E00000000003FFC000000000007F0037357DB23A>82 D<03FFFFFFFFFFF007FFFF FFFFFFF007FFFFFFFFFFE007F0007F000FE00F8000FF0003E00F0000FF0001E00E0000FE 0001E01C0000FE0000C01C0001FE0000C0180001FE0000C0380001FC0001C0380001FC00 01C0300003FC000180700003FC000180600003F8000180600003F8000180600007F80003 80E00007F8000300000007F0000000000007F000000000000FF000000000000FF0000000 00000FE000000000000FE000000000001FE000000000001FE000000000001FC000000000 001FC000000000003FC000000000003FC000000000003F8000000000003F800000000000 7F8000000000007F8000000000007F0000000000007F000000000000FF000000000000FF 000000000000FE000000000000FE000000000001FE000000000001FE000000000001FC00 0000000001FC000000000003FC000000000003FC000000000003F8000000000007FC0000 00001FFFFFFE0000001FFFFFFE0000001FFFFFFE00000034337FB22D>84 D<00000001F8000000FFF8000000FFF8000000FFF000000007F000000007F000000007F0 00000007E000000007E00000000FE00000000FE00000000FC00000000FC00000001FC000 00001FC00000001F800000001F800000003F800000003F800001F83F000007FE3F00001F 077F00007C03FF0000F801FE0001F001FE0003F000FE0007E000FE0007C000FC000FC000 FC001F8001FC001F8001FC003F0001F8003F0001F8003F0003F8007F0003F8007E0003F0 007E0003F0007E0007F000FE0007F000FC0007E000FC0007E040FC000FE060FC000FE0E0 FC000FC0C07C000FC0C07C001FC1C07C003FC1803C007F81803E00EF83801E01C7C3000F 0787C70007FE03FE0000F800F80025357EB328>100 D<0000FE000007FF80001F03C000 7C01E001F800E003F000E007E000E00FC000E01F8000E01F8001E03F0001C03F0003C07E 000F807E00FE007FFFF800FFFF8000FC000000FC000000FC000000FC000000F8000000F8 000000F8000000F8000000F8000018FC0000387C0000707C0000E03C0001C03E0007801F 001E000F80FC0003FFE00000FF00001D227DA024>I<0000000F800000003FE000000078 70000001F0F8000001E3F8000003E3F8000003E3F8000007E3F0000007E3F000000FC1C0 00000FC00000000FC00000000FC00000000FC00000001FC00000001F800000001F800000 001F800000001F800000003F800000003F0000001FFFFF80003FFFFF80003FFFFF000000 7F000000007E000000007E000000007E000000007E00000000FE00000000FC00000000FC 00000000FC00000000FC00000000FC00000001FC00000001F800000001F800000001F800 000001F800000003F800000003F000000003F000000003F000000003F000000007F00000 0007E000000007E000000007E000000007E00000000FE00000000FC00000000FC0000000 0FC00000000FC00000000F800000001F800000001F800000001F0000001C1F0000007F1E 0000007F3E0000007F3E000000FE3C000000FE78000000787800000070F00000003FC000 00000F8000000025457CB425>I<00001F800000007FE0000001F071C00007C03FE0000F 801FE0001F000FE0003F000FE0007E000FE0007C000FC000FC000FC001F8001FC001F800 1FC003F0001F8003F0001F8003F0003F8007F0003F8007E0003F0007E0003F0007E0007F 0007E0007F0007C0007E0007C0007E0007C000FE0007C000FE0007C000FC0007C000FC00 07C001FC0003E003FC0003E007F80001F01FF80000F83BF800003FF3F800000FC3F00000 0003F000000007F000000007F000000007E000000007E00000000FE0001C000FC0007F00 0FC0007F001F80007F003F8000FE003F0000FE007E00007801FC00003C03F000001FFFC0 000003FE00000023317FA025>I E /Fp 4 108 df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q 4 49 df0 D<3C7EFFFFFFFF7E3C08087A9414>I<000C0000001E0000001E0000001E0000001E0000 001E0000601E0180781E0780FC0C0FC07F0C3F803F8C7F0007CCF80001FFE000007F8000 001E0000007F800001FFE00007CCF8003F8C7F007F0C3F80FC0C0FC0781E0780601E0180 001E0000001E0000001E0000001E0000001E0000000C00001A1D7C9E23>3 D<007800FE01FE01FE01FE03FE03FC03FC03FC07F807F807F807F007F00FE00FE00FE00F C01FC01F801F801F803F003F003F003E007E007C007C007C00F800F800F800F0000F227E A413>48 D E /Fr 19 120 df<0003FE001FFE007E0000F80003F00007E0000FC0001F80 001F80003F00003F00007F00007FFFF07FFFF07E00007E0000FC0000FC0000FC00007C00 007C00007C00007C00003E00003E00001F00080F801C07C0F801FFE0007F00171E7D9C1D >15 D<07C007E00FE03FF81CF8783E3879E01E307B801F707F001F607F001F60FE001FE0 FC001FC0FC001FC0F8001F81F8003F01F8003F01F0003E01F0003E03F0007E03F0007E03 E0007C03E0007C07E000FC07E000FC07C000F807C000F80FC001F80FC001F80F8001F00F 8001F01F8003F01F8003F01F0003E00E0003E0000007E0000007E0000007C0000007C000 000FC000000FC000000F8000000F8000001F8000001F8000001F0000001F0000000E0020 2C7E9D23>17 D<0000C0000000C0000000C0000000C0000000C0000000FFE00001FFF800 07FFF8001F9FE0007F000000FE000000FC000001F8000003F8000003F0000007F0000007 F0000007E0000007E0000007E0000003E0000003F0000003F0000001FBFE00007FFF0000 7FFF0000F7FE0003C00000078000000F0000001E0000001E0000003C0000007C00000078 00000078000000F8000000F0000000F8000000F8000000F8000000FC000000FF0000007F C000003FF800001FFE00000FFFC00003FFF000007FFC00001FFE000003FF000000FF0000 001F0000000F0000000F0000000F0000701E00003C1C00001FF8000003E0001D3C7EAD1F >24 D<3C007E00FF00FF00FF80FF807F803D80018001800180038003000300070006000E 001C0038007000600009157A8714>59 D<003FFE00000001FFF0003FFE00000003FFF000 00FF00000003F8000000FF00000007F8000000DF0000000DF0000000DF0000000DF00000 01DF0000001BF0000001DF00000033E00000018F80000033E00000018F80000063E00000 038F800000C7E00000038F800000C7C00000030F80000187C00000030F80000307C00000 0707C000030FC000000707C000060F8000000607C0000C0F8000000607C0000C0F800000 0E07C000181F8000000E07C000301F0000000C03E000301F0000000C03E000601F000000 1C03E000C03F0000001C03E000C03E0000001803E001803E0000001803E003003E000000 3801F003007E0000003801F006007C0000003001F00C007C0000003001F00C007C000000 7001F01800FC0000007001F03000F80000006001F03000F80000006000F86000F8000000 E000F8C001F8000000E000F8C001F0000000C000F98001F0000000C000FB0001F0000001 C000FB0003F0000001C0007E0003E000000180007C0003E0000003C0007C0003E000000F E000780007E00000FFFE007001FFFF8000FFFE003001FFFF8000442D7CAC44>77 D<003FFFFFFF0000003FFFFFFFE0000000FE0007F0000000FE0001FC000000FC00007E00 0000FC00007E000001FC00003F000001FC00003F000001F800003F000001F800003F8000 03F800003F000003F800007F000003F000007F000003F000007F000007F00000FE000007 F00000FE000007E00000FC000007E00001F800000FE00003F000000FE00007E000000FC0 001F8000000FC000FF0000000FFFFFF80000001FFFFFC00000001F8000000000001F8000 000000001F8000000000003F8000000000003F0000000000003F0000000000003F000000 0000007F0000000000007E0000000000007E0000000000007E000000000000FE00000000 0000FC000000000000FC000000000000FC000000000001FC000000000001F80000000000 01F8000000000003F80000000000FFFFE000000000FFFFE000000000312D7DAC2D>80 D87 D<0007E000001FF80000 7C1CE000F80DE001F00FE003E007E007C007E00FC007E01F8007C01F8007C03F0007C03F 000FC07F000F807E000F807E000F807E001F80FE001F00FC001F00FC001F00FC003F02FC 003E06FC003E06F8003E06F8007E0E7C00FE0C7C00FC0C7C01FC1C3E07BE181F0E1E380F FC0FF003F003C01F1F7D9D25>97 D<0003F800000FFE00003E078000F8038001F003C003 E001C007C001C00FC003C01F8003801F8007803F000F003F001E007F01FC007FFFF0007F FF00007E000000FE000000FC000000FC000000FC000000FC0000007C0000007C0000607C 0000E07C0001C03E0003803E000F001F001C000F81F80003FFE00000FE00001B1F7D9D21 >101 D<0000FC000003FF00000F839C001F01BC003E01FC007C00FC00F800FC01F800FC 03F000FC03F000F807E000F807E001F80FE001F80FC001F00FC001F00FC003F01FC003F0 1F8003E01F8003E01F8007E01F8007E01F8007C01F8007C00F800FC00F801FC007803F80 07C07F8003E1FF8000FF9F80003E1F0000001F0000003F0000003F0000003E0000003E00 00007E0038007C00FC00FC00FC00F800FC01F000F807E000F00F80007FFE00001FF80000 1E2C7E9D22>103 D<001F00000003FF00000003FF000000003F000000003F000000003E 000000003E000000007E000000007E000000007C000000007C00000000FC00000000FC00 000000F800000000F800000001F800000001F83F000001F1FFC00001F3C1F00003FF00F0 0003FC00F80003F800F80003F800F80007F000F80007E000F80007E000F80007C000F800 0FC001F8000FC001F0000F8001F0000F8001F0001F8003F0001F8003E0001F0003E0001F 0007E0003F0007C0403F0007C0C03E000FC0C03E000F80C07E000F81C07E001F01807C00 1F03807C001F0700FC000F0600FC000F1E00F80007F800700001E000222F7DAD29>I<00 0700000F80001FC0001FC0000F8000070000000000000000000000000000000000000000 000000000000000001E00007F8000E3C001C3E00383E00303E00703E00607E00E07C00C0 7C00C0FC0080F80000F80001F80001F00003F00003E00003E00007E00007C04007C0C00F C0C00F80C00F81C01F01801F03801F07000F06000F1E0007F80001F000122E7EAC18>I< 001F000003FF000003FF0000003F0000003F0000003E0000003E0000007E0000007E0000 007C0000007C000000FC000000FC000000F8000000F8000001F8000001F800F801F003FC 01F00F0E03F01C1E03F0387E03E0707E03E0E07E07E1C07E07E3803807C7000007CE0000 0FDC00000FF800000FF800000FFF80001F9FE0001F83F0001F01F8001F00F8003F00F804 3F00F80C3E00F80C3E00F80C7E00F81C7E00F8187C00F0387C00F830FC00F870FC0078E0 F8003FC070000F801F2F7DAD25>107 D<007C0FFC0FFC00FC00FC00F800F801F801F801 F001F003F003F003E003E007E007E007C007C00FC00FC00F800F801F801F801F001F003F 003F003E003E007E007E007C007C00FC08FC18F818F818F838F830F030F070F86078E03F C00F000E2F7DAD15>I<078007F0007E00001FE01FFC03FF800018F0781F0783E0003878 E00F1E01E0003079C00FB801F000707F800FB001F000607F000FF001F00060FE000FE001 F000E0FE000FC001F000C0FC000FC001F000C0F8000F8001F00081F8001F8003F00001F8 001F8003E00001F0001F0003E00001F0001F0003E00003F0003F0007E00003F0003F0007 C00003E0003E0007C00003E0003E000FC00007E0007E000F808007E0007E000F818007C0 007C001F818007C0007C001F01800FC000FC003F03800FC000FC003E03000F8000F8003E 07000F8000F8003E0E001F8001F8001E0C001F8001F8001E3C001F0001F0000FF0000E00 00E00003E000391F7E9D3E>I<007C01F80000FE07FE0001CF8E0F0003879C07800307B8 07C00707F007C00607E003E0060FC003E00E0F8003E00C0F8003E00C0F8003E0081F8007 E0001F8007E0001F0007E0001F0007E0003F000FE0003F000FC0003E000FC0003E000FC0 007E001F80007E001F80007C001F00007C003F0000FC003E0000FC007C0000FC00FC0000 FE01F80001FF03E00001FB87C00001F1FF000001F0FC000003F000000003F000000003E0 00000003E000000007E000000007E000000007C000000007C00000000FC00000000FC000 0000FFFC000000FFFC000000232B829D24>112 D<07C01F000FF07FC01CF8E0E03879C1 E0307B87E0707F07E0607E07E060FC07E0E0FC0380C0F80000C0F8000081F8000001F800 0001F0000001F0000003F0000003F0000003E0000003E0000007E0000007E0000007C000 0007C000000FC000000FC000000F8000000F8000001F8000001F8000001F0000000E0000 001B1F7E9D20>114 D<000E00001F00001F00003F00003F00003E00003E00007E00007E 00007C00007C0000FC0000FC00FFFFF8FFFFF801F80001F80001F00001F00003F00003F0 0003E00003E00007E00007E00007C00007C0000FC0000FC0000F80000F80001F80101F80 301F00301F00701F00601F00E01E01C01E03801F07000F0E0007FC0001F000152B7EA919 >116 D<01E00000007007F8001C01F80E3C003E01F81C3E007E01FC383E007C01FC303E 007C00FC703E007C007C607E00FC0078E07C00F80038C07C00F80038C0FC00F8003880F8 01F8003800F801F8003001F801F0003001F001F0003001F003F0007003F003F0006003E0 03E0006003E003E0006003E003E000E007E007E000C007C007C001C007C007C0018007C0 07C0038003C007C0030003E00FE0070003E00FE00E0001F01DF01C0000F838F83800007F F07FF000000FC00FC0002E1F7E9D33>119 D E /Fs 14 103 df12 D<00000003C000000007C00000000F 800000001F000000003E000000007C00000000F800000001F800000003F000000007E000 000007C00000000FC00000001F800000003F000000003F000000007E00000000FC000000 00FC00000001F800000001F800000003F000000007E000000007E00000000FC00000000F C00000001FC00000001F800000003F800000003F000000003F000000007E000000007E00 000000FE00000000FC00000000FC00000001FC00000001F800000003F800000003F80000 0003F000000003F000000007F000000007F000000007E00000000FE00000000FE0000000 0FE00000000FC00000001FC00000001FC00000001FC00000001FC00000001F800000003F 800000003F800000003F800000003F800000003F800000003F000000007F000000007F00 0000007F000000007F000000007F000000007F000000007F000000007F000000007F0000 0000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE000000 00FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000 FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE 00000000FE00000000FE00000000FE00000000FE00000000FE000000007F000000007F00 0000007F000000007F000000007F000000007F000000007F000000007F000000007F0000 00003F000000003F800000003F800000003F800000003F800000003F800000001F800000 001FC00000001FC00000001FC00000001FC00000000FC00000000FE00000000FE0000000 0FE000000007E000000007F000000007F000000003F000000003F000000003F800000003 F800000001F800000001FC00000000FC00000000FC00000000FE000000007E000000007E 000000003F000000003F000000003F800000001F800000001FC00000000FC00000000FC0 00000007E000000007E000000003F000000001F800000001F800000000FC00000000FC00 0000007E000000003F000000003F000000001F800000000FC000000007C000000007E000 000003F000000001F800000000F8000000007C000000003E000000001F000000000F8000 000007C000000003C022A3708336>16 DI<0000000000F00000000001F00000000003E00000000007C000 0000000F80000000001F00000000003E00000000007C0000000000FC0000000001F80000 000003F00000000007E00000000007C0000000000FC0000000001F80000000003F000000 00003F00000000007E0000000000FC0000000001FC0000000001F80000000003F0000000 0003F00000000007E0000000000FE0000000000FC0000000001FC0000000001F80000000 003F80000000007F00000000007F0000000000FE0000000000FE0000000001FC00000000 01FC0000000003F80000000003F80000000007F00000000007F00000000007F000000000 0FE0000000000FE0000000001FC0000000001FC0000000001FC0000000003F8000000000 3F80000000003F80000000007F00000000007F0000000000FF0000000000FE0000000000 FE0000000000FE0000000001FE0000000001FC0000000001FC0000000003FC0000000003 FC0000000003F80000000003F80000000007F80000000007F80000000007F00000000007 F0000000000FF0000000000FF0000000000FF0000000000FE0000000000FE0000000001F E0000000001FE0000000001FE0000000001FE0000000001FC0000000001FC0000000003F C0000000003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000003F 80000000007F80000000007F80000000007F80000000007F80000000007F80000000007F 80000000007F80000000007F80000000007F80000000007F8000000000FF0000000000FF 0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF 0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF 0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF 0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF 0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF0000000000FF 00000000007F80000000007F80000000007F80000000007F80000000007F80000000007F 80000000007F80000000007F80000000007F80000000007F80000000003F80000000003F C0000000003FC0000000003FC0000000003FC0000000003FC0000000003FC0000000001F C0000000001FC0000000001FE0000000001FE0000000001FE0000000001FE0000000000F E0000000000FE0000000000FF0000000000FF0000000000FF00000000007F00000000007 F00000000007F80000000007F80000000003F80000000003F80000000003FC0000000003 FC0000000001FC0000000001FC0000000001FE0000000000FE0000000000FE0000000000 FE0000000000FF00000000007F00000000007F00000000003F80000000003F8000000000 3F80000000001FC0000000001FC0000000001FC0000000000FE0000000000FE000000000 07F00000000007F00000000007F00000000003F80000000003F80000000001FC00000000 01FC0000000000FE0000000000FE00000000007F00000000007F00000000003F80000000 001F80000000001FC0000000000FC0000000000FE00000000007E00000000003F0000000 0003F00000000001F80000000001FC0000000000FC00000000007E00000000003F000000 00003F00000000001F80000000000FC00000000007C00000000007E00000000003F00000 000001F80000000000FC00000000007C00000000003E00000000001F00000000000F8000 00000007C00000000003E00000000001F00000000000F02CDA6D8343>II<0000007C000001FC000003FC00000FFC00001FFC00007F F80000FFE00001FFC00003FF800007FF00000FFE00001FFC00003FF800007FF000007FE0 0000FFE00001FFC00001FF800003FF800007FF000007FF00000FFE00000FFE00000FFC00 001FFC00001FFC00003FF800003FF800003FF800007FF800007FF000007FF000007FF000 007FF00000FFF00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE000 00FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE000 00FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE000 00FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE000 00FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE000 00FFE00000FFE00000FFE00000FFE000001E525D7E51>56 D58 D<00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000F FE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000F FE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000F FE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000F FE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000F FE00000FFE00000FFE00000FFE00001FFC00001FFC00001FFC00001FFC00001FFC00003F F800003FF800003FF800003FF000007FF000007FF000007FE00000FFE00000FFC00001FF C00001FF800003FF800003FF000007FE000007FE00000FFC00001FF800001FF800003FF0 00007FE00000FFC00001FF800001FF000003FE00000FFC00001FF800003FE000007FC000 00FF000000FE000000FE000000FF0000007FC000003FE000001FF800000FFC000003FE00 0001FF000001FF800000FFC000007FE000003FF000001FF800001FF800000FFC000007FE 000007FE000003FF000003FF800001FF800001FFC00000FFC00000FFE000007FE000007F F000007FF000003FF000003FF800003FF800003FF800001FFC00001FFC00001FFC00001F FC00001FFC00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000F FE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000F FE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000F FE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000F FE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000FFE00000F FE00000FFE00000FFE00000FFE00000FFE1FA6718051>60 D<0000000038000000007C00 0000007C00000000FC00000000F800000000F800000001F800000001F000000003F00000 0003E000000007E000000007C000000007C00000000FC00000000F800000001F80000000 1F000000001F000000003F000000003E000000007E000000007C00000000FC00000000F8 00000000F800000001F800000001F000000003F000000003E000000003E000000007E000 000007C00000000FC00000000F800000001F800000001F000000001F000000003F000000 003E000000007E000000007C00000000FC00000000F800000000F800000001F800000001 F000000003F000000003E000000003E000000007E000000007C00000000FC00000000F80 0000001F800000001F000000001F000000003F000000003E000000007E000000007C0000 00007C00000000FC00000000F800000001F800000001F000000003F000000003E0000000 03E000000007E000000007C00000000FC00000000F800000000F800000001F800000001F 000000003F000000003E000000007E000000007C000000007C00000000FC00000000F800 000000FC000000007C000000007C000000007E000000003E000000003F000000001F0000 00001F800000000F800000000F800000000FC000000007C000000007E000000003E00000 0003E000000003F000000001F000000001F800000000F800000000FC000000007C000000 007C000000007E000000003E000000003F000000001F000000001F000000001F80000000 0F800000000FC000000007C000000007E000000003E000000003E000000003F000000001 F000000001F800000000F800000000F800000000FC000000007C000000007E000000003E 000000003F000000001F000000001F000000001F800000000F800000000FC000000007C0 00000007E000000003E000000003E000000003F000000001F000000001F800000000F800 000000F800000000FC000000007C000000007E000000003E000000003F000000001F0000 00001F000000001F800000000F800000000FC000000007C000000007C000000007E00000 0003E000000003F000000001F000000001F800000000F800000000F800000000FC000000 007C000000007C000000003826A3768338>68 D<7000000000F800000000F800000000FC 000000007C000000007C000000007E000000003E000000003F000000001F000000001F80 0000000F800000000F800000000FC000000007C000000007E000000003E000000003E000 000003F000000001F000000001F800000000F800000000FC000000007C000000007C0000 00007E000000003E000000003F000000001F000000001F000000001F800000000F800000 000FC000000007C000000007E000000003E000000003E000000003F000000001F0000000 01F800000000F800000000FC000000007C000000007C000000007E000000003E00000000 3F000000001F000000001F000000001F800000000F800000000FC000000007C000000007 E000000003E000000003E000000003F000000001F000000001F800000000F800000000F8 00000000FC000000007C000000007E000000003E000000003F000000001F000000001F00 0000001F800000000F800000000FC000000007C000000007C000000007E000000003E000 000003F000000001F000000001F800000000F800000000F800000000FC000000007C0000 0000FC00000000F800000000F800000001F800000001F000000003F000000003E0000000 07E000000007C000000007C00000000FC00000000F800000001F800000001F000000001F 000000003F000000003E000000007E000000007C00000000FC00000000F800000000F800 000001F800000001F000000003F000000003E000000003E000000007E000000007C00000 000FC00000000F800000001F800000001F000000001F000000003F000000003E00000000 7E000000007C000000007C00000000FC00000000F800000001F800000001F000000003F0 00000003E000000003E000000007E000000007C00000000FC00000000F800000001F8000 00001F000000001F000000003F000000003E000000007E000000007C000000007C000000 00FC00000000F800000001F800000001F000000003F000000003E000000003E000000007 E000000007C00000000FC00000000F800000000F800000001F800000001F000000003F00 0000003E000000007E000000007C000000007C00000000FC00000000F800000000F80000 0000700000000026A3798338>I88 D<00000000000000001F8000000000000000 007FF00000000000000001F0780000000000000003E03C0000000000000007E03E000000 0000000007C0FF000000000000000FC1FF000000000000001F81FF000000000000001F81 FF000000000000003F01FF000000000000007F01FF000000000000007E00FE0000000000 00007E003800000000000000FE000000000000000000FC000000000000000001FC000000 000000000001FC000000000000000003F8000000000000000003F8000000000000000003 F8000000000000000007F8000000000000000007F0000000000000000007F00000000000 00000007F000000000000000000FF000000000000000000FE000000000000000000FE000 000000000000001FE000000000000000001FE000000000000000001FC000000000000000 001FC000000000000000003FC000000000000000003FC000000000000000003FC0000000 00000000003F8000000000000000007F8000000000000000007F8000000000000000007F 8000000000000000007F800000000000000000FF000000000000000000FF000000000000 000000FF000000000000000000FF000000000000000001FF000000000000000001FE0000 00000000000001FE000000000000000001FE000000000000000003FE0000000000000000 03FE000000000000000003FC000000000000000003FC000000000000000007FC00000000 0000000007FC000000000000000007FC000000000000000007F8000000000000000007F8 00000000000000000FF800000000000000000FF800000000000000000FF8000000000000 00000FF800000000000000001FF000000000000000001FF000000000000000001FF00000 0000000000001FF000000000000000001FF000000000000000003FF00000000000000000 3FE000000000000000003FE000000000000000003FE000000000000000007FE000000000 000000007FE000000000000000007FE000000000000000007FC000000000000000007FC0 0000000000000000FFC00000000000000000FFC00000000000000000FFC0000000000000 0000FF800000000000000000FF800000000000000001FF800000000000000001FF800000 000000000001FF800000000000000001FF800000000000000003FF000000000000000003 FF000000000000000003FF000000000000000003FF000000000000000003FF0000000000 00000007FF000000000000000007FE000000000000000007FE000000000000000007FE00 0000000000000007FE00000000000000000FFE00000000000000000FFC00000000000000 000FFC00000000000000000FFC00000000000000000FFC00000000000000001FFC000000 00000000001FF800000000000000001FF800000000000000001FF800000000000000001F F800000000000000003FF800000000000000003FF000000000000000003FF00000000000 0000003FF000000000000000003FF000000000000000007FF000000000000000007FE000 000000000000007FE000000000000000007FE000000000000000007FE000000000000000 00FFE00000000000000000FFC00000000000000000FFC00000000000000000FFC0000000 0000000000FFC00000000000000000FFC00000000000000001FF800000000000000001FF 800000000000000001FF800000000000000001FF800000000000000001FF000000000000 000001FF000000000000000003FF000000000000000003FF000000000000000003FF0000 00000000000003FE000000000000000003FE000000000000000007FE0000000000000000 07FE000000000000000007FE000000000000000007FC000000000000000007FC00000000 0000000007FC00000000000000000FFC00000000000000000FF800000000000000000FF8 00000000000000000FF800000000000000000FF800000000000000000FF8000000000000 00001FF000000000000000001FF000000000000000001FF000000000000000001FF00000 0000000000001FE000000000000000001FE000000000000000003FE00000000000000000 3FE000000000000000003FE000000000000000003FC000000000000000003FC000000000 000000007FC000000000000000007FC000000000000000007F8000000000000000007F80 00000000000000007F800000000000000000FF800000000000000000FF00000000000000 0000FF000000000000000000FF000000000000000000FF000000000000000001FE000000 000000000001FE000000000000000001FE000000000000000001FE000000000000000001 FC000000000000000003FC000000000000000003FC000000000000000003FC0000000000 00000003F8000000000000000003F8000000000000000007F8000000000000000007F800 0000000000000007F0000000000000000007F000000000000000000FF000000000000000 000FE000000000000000000FE000000000000000000FE000000000000000001FE0000000 00000000001FC000000000000000001FC000000000000000001FC000000000000000003F 8000000000000000003F8000000000000000003F0000000000000000007F000000000000 001C007E000000000000007F007E00000000000000FF80FE00000000000000FF80FC0000 0000000000FF81F800000000000000FF81F800000000000000FF83F000000000000000FF 03E0000000000000007C07E0000000000000003C07C0000000000000001E0F8000000000 0000000FFE000000000000000001F8000000000000000050CA7B7F33>90 D<0003F000000080001FFE000001C0007FFF0000038000FFFFC0000F0003F03FF0003C00 07C007F800F8000F0003FF03F0003C0000FFFFC0007000003FFF8000E000001FFE000040 000003F00000320B80C133>101 D<000000FFE00000000000008000001FFFFF00000000 0003C00001FFFFFFE0000000000F800007FFFFFFFC000000007E00003FE0001FFF000000 01F00000FE000001FFE000001FC00003E00000003FFE0001FF00001F800000000FFFFFFF F800007C0000000001FFFFFFE00000F000000000003FFFFE00000040000000000001FFC0 0000005A0B80C35B>I E /Ft 49 124 df<000000000FF0000F80000000007FFE003FE0 00000001FC0F00F87800000003F00381F03C00000007C007C3E07C0000000F801FC7E1FC 0000001F803FC7C3FC0000001F803FCFC3FC0000003F003FCFC3FC0000003F003FCF83FC 0000003F003F9F83F80000007E000E1F80E00000007E00001F80000000007E00003F8000 000000FE00003F0000000000FC00003F0000000000FC00003F0000000000FC00003F0000 000000FC00007F0000000001FC00007E0000000001F800007E0000000001F800007E0000 000001F800007E0000000001F80000FE0000000003F80000FC00000003FFFFFFFFFFFF00 0003FFFFFFFFFFFF000003FFFFFFFFFFFE00000003F00001FC0000000007F00001FC0000 000007E00001F80000000007E00001F80000000007E00001F80000000007E00001F80000 000007E00003F8000000000FE00003F0000000000FC00003F0000000000FC00003F00000 00000FC00003F0000000000FC00007F0000000001FC00007E0000000001F800007E00000 00001F800007E0000000001F800007E0000000001F80000FE0000000003F80000FC00000 00003F00000FC0000000003F00000FC0000000003F00000FC0000000003F00001FC00000 00007F00001F80000000007E00001F80000000007E00001F80000000007E00001F800000 00007E00003F8000000000FE00003F0000000000FC00003F0000000000FC00003F000000 0000FC00003F0000000000FC00007F0000000001FC00007E0000000001F800007E000000 0001F800007E0000000001F800007E0000000001F80000FC0000000003F00000FC000000 0003F00000FC0000000003F00000FC0000000003F00001F80000000007E00001F8000000 0007E00001F80000001E07E0F001F00000007F07C3F803F00000007F0FC3F803E0000000 FF0F87F807E0000000FF0F87F807C0000000FF0F07F80F80000000FE1F07F01F00000000 F81E07C01E00000000703C03803C00000000787801E0F8000000001FF000FFE000000000 07C0003F8000000000465383BF38>11 D<0000000007FF80000000003FFFE000000000FE 00F800000001F0003E00000007E0000E0000000FC0001F0000000F80007F0000001F8000 FF0000003F0000FF0000003F0000FF0000003F0000FE0000007E0000FE0000007E000078 0000007E000000000000FE000000000000FC000000000000FC000000000000FC00000000 0001FC000000000001FC000000000001F8000000000001F8000000000001F80000000000 01F8000000000003F80000000003FFFFFFFFF00003FFFFFFFFF00003FFFFFFFFE0000003 F00007E0000007F0000FE0000007E0000FC0000007E0000FC0000007E0000FC0000007E0 001FC000000FE0001F8000000FC0001F8000000FC0001F8000000FC0003F8000000FC000 3F0000001FC0003F0000001F80003F0000001F80007F0000001F80007E0000001F80007E 0000003F80007E0000003F0000FE0000003F0000FC0000003F0000FC0000003F0000FC00 00007F0001FC0000007E0001F81C00007E0001F81C00007E0001F81C00007E0003F81C00 00FE0003F03C0000FC0003F0380000FC0003F0380000FC0003F0780000FC0003F0700001 FC0003F0700001F80001F0F00001F80001F0E00001F80000F1C00001F800007F800003F0 00001F000003F0000000000003F0000000000003F0000000000003E0000000000007E000 0000000007E0000000001E07C0000000007F07C0000000007F0FC000000000FF0F800000 0000FF0F8000000000FF1F0000000000FE1F0000000000F81E0000000000703C00000000 00787800000000001FF0000000000007C00000000000385383BF33>I<01E000F007F803 FC0FF807FC0FFC07FE1FFC0FFE1FFC0FFE1FFC0FFE1FFC0FFE0FFC07FE03D801EC001800 0C0018000C0038001C00300018007000380060003000E0007000C0006001C000E0038001 C003000180070003800E0007001C000E0038001C0070003800E0007000C00060001F1C70 BE2F>34 D<01E007F80FF80FF81FFC1FFC1FFC1FFC0FF807980018003800300030007000 6000E000C001C00380070006000E001C0038007000E000C0000E1C7A891C>44 D<7FFFFE7FFFFE7FFFFEFFFFFEFFFFFE1705799521>I<0F003FC07FC07FC0FFC0FFC0FF C0FF807F003C000A0A77891C>I<001E00003F80007F8000FFC001FFC001FFC001FF8000 FF0000FE00003C0000000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000F00003FC0007F C0007FC000FFC000FFC000FFC000FF80007F00003C0000122777A61C>58 D<00000000001C000000000000003C000000000000007C000000000000007C0000000000 0000FC00000000000000FC00000000000001FC00000000000003FC00000000000003FC00 000000000007FC00000000000007FC0000000000000FFE0000000000000FFE0000000000 001DFE0000000000001DFE00000000000039FE00000000000079FE00000000000071FE00 0000000000E1FE000000000000E1FE000000000001C1FE000000000001C1FE0000000000 0381FE00000000000781FE00000000000701FE00000000000E01FE00000000000E01FE00 000000001C01FF00000000001C01FF00000000003800FF00000000003800FF0000000000 7000FF0000000000F000FF0000000000E000FF0000000001C000FF0000000001C000FF00 000000038000FF00000000038000FF00000000070000FF000000000F0000FF000000000E 0000FF000000001C0000FF000000001FFFFFFF000000003FFFFFFF800000003FFFFFFF80 0000007000007F800000007000007F80000000E000007F80000001E000007F80000001C0 00007F800000038000007F800000038000007F800000070000007F800000070000007F80 00000E0000007F8000001E0000007F8000001C0000007F8000003C0000007F8000007800 00007F800000F80000007FC00001FC0000007FC00007FE000001FFC000FFFFE0007FFFFF 80FFFFE0007FFFFF80FFFFC0007FFFFF8039417BC044>65 D<00000000FF8001C0000000 0FFFE001C00000003FFFF80380000000FF807E0780000003FC001F0F8000000FF000071F 8000001FC00007BF0000007F800003FF000000FF000001FF000001FE000001FF000003F8 000000FE000007F0000000FE00000FF0000000FE00001FE00000007E00003FC00000007C 00007F800000007C0000FF800000007C0000FF000000007C0001FE00000000780003FE00 000000780003FC00000000780007FC00000000780007F80000000070000FF80000000070 000FF80000000070001FF00000000070001FF00000000000003FE00000000000003FE000 00000000003FE00000000000007FE00000000000007FC00000000000007FC00000000000 007FC0000000000000FFC0000000000000FF80000000000000FF80000000000000FF8000 0000000000FF80000000000000FF00000000000000FF00000000000000FF000000000F00 00FF000000000F0000FF000000000E0000FF000000000E0000FF000000001E0000FF0000 00001C0000FF000000003C0000FF00000000380000FF000000007800007F000000007000 007F80000000F000007F80000001E000003F80000001C000003FC0000003C000001FC000 00078000001FE000000F0000000FE000001E00000007F000003C00000003F80000F80000 0001FC0001F000000000FE0007C0000000007FC03F80000000001FFFFE000000000007FF F0000000000000FF80000000003A4272BF41>67 D<0001FFFFFFFFC0000001FFFFFFFFF8 000001FFFFFFFFFE00000003FE0003FF00000003FE00007F80000003FC00001FC0000003 FC00000FE0000003FC000007F0000007FC000007F0000007F8000003F8000007F8000001 FC000007F8000001FC00000FF8000001FC00000FF0000000FE00000FF0000000FE00000F F0000000FE00001FF0000000FE00001FE0000000FF00001FE0000000FF00001FE0000000 FF00003FE0000000FF00003FC0000000FF00003FC0000000FF00003FC0000000FF00007F C0000001FF00007F80000001FF00007F80000001FF00007F80000001FE0000FF80000001 FE0000FF00000003FE0000FF00000003FE0000FF00000003FE0001FF00000003FC0001FE 00000007FC0001FE00000007FC0001FE00000007F80003FE00000007F80003FC0000000F F80003FC0000000FF00003FC0000000FF00007FC0000001FE00007F80000001FE00007F8 0000003FC00007F80000003FC0000FF80000007F80000FF00000007F00000FF0000000FF 00000FF0000000FE00001FF0000001FC00001FE0000003F800001FE0000007F000001FE0 000007F000003FE000000FE000003FC000003FC000003FC000007F0000007FC00000FE00 00007FC00003FC0000007F80000FF0000000FF80007FE00000FFFFFFFFFF800000FFFFFF FFFC000000FFFFFFFFE0000000403E7BBD45>I<0001FFFFFFFFFFF80001FFFFFFFFFFF8 0001FFFFFFFFFFF8000003FE00001FF8000003FE000007F8000003FC000003F8000003FC 000001F8000003FC000000F0000007FC000000F0000007F8000000F0000007F8000000F0 000007F8000000F000000FF8000000F000000FF0000000F000000FF0000000E000000FF0 000000E000001FF0000000E000001FE0003800E000001FE0003800E000001FE0007801E0 00003FE0007001C000003FC00070000000003FC00070000000003FC000F0000000007FC0 00E0000000007F8001E0000000007F8003E0000000007F800FE000000000FFFFFFC00000 0000FFFFFFC000000000FFFFFFC000000000FF001FC000000001FF00078000000001FE00 078000000001FE00078000000001FE00078000000003FE00070000000003FC0007000000 0003FC00070003800003FC000F0007800007FC000E0007000007F8000E0007000007F800 00000F000007F80000000E00000FF80000001E00000FF00000001C00000FF00000003C00 000FF00000003C00001FF00000007800001FE00000007800001FE0000000F000001FE000 0000F000003FE0000001F000003FC0000003E000003FC0000007E000007FC000000FE000 007FC000001FC000007F8000007FC00000FF800007FF8000FFFFFFFFFFFF8000FFFFFFFF FFFF8000FFFFFFFFFFFF00003D3E7BBD3E>I<0001FFFFFFFFFFF00001FFFFFFFFFFF000 01FFFFFFFFFFF0000003FE00003FF0000003FE00000FF0000003FC000003F0000003FC00 0003F0000003FC000001E0000007FC000001E0000007F8000001E0000007F8000001E000 0007F8000001E000000FF8000001E000000FF0000001E000000FF0000001C000000FF000 0001C000001FF0000001C000001FE0000001C000001FE0007001C000001FE000F003C000 003FE000E0038000003FC000E0000000003FC000E0000000003FC001E0000000007FC001 C0000000007F8003C0000000007F8003C0000000007F8007C000000000FF801F80000000 00FFFFFF8000000000FFFFFF8000000000FFFFFF8000000001FF003F0000000001FE001F 0000000001FE000F0000000001FE000F0000000003FE000E0000000003FC000E00000000 03FC000E0000000003FC001E0000000007FC001C0000000007F8001C0000000007F8001C 0000000007F80000000000000FF80000000000000FF00000000000000FF0000000000000 0FF00000000000001FF00000000000001FE00000000000001FE00000000000001FE00000 000000003FE00000000000003FC00000000000003FC00000000000007FC0000000000000 7FC00000000000007F80000000000000FFC00000000000FFFFFFE000000000FFFFFFE000 000000FFFFFFE0000000003C3E7BBD3B>I<00000000FF8000E000000007FFF000E00000 003FFFFC01C0000000FFC03E03C0000003FC000F07C000000FF000078FC000001FE00003 DF8000007F800001FF800000FF000000FF800001FE000000FF800003FC0000007F000007 F80000007F00000FF00000007F00001FE00000003F00003FC00000003E00007F80000000 3E0000FF800000003E0000FF000000003E0001FE000000003C0003FE000000003C0003FC 000000003C0007FC000000003C0007F80000000038000FF80000000038000FF800000000 38001FF00000000038001FF00000000000003FE00000000000003FE00000000000003FE0 0000000000007FE00000000000007FC00000000000007FC00000000000007FC000000000 0000FFC0000000000000FF80000000000000FF80000000000000FF80000000000000FF80 0001FFFFFE00FF000001FFFFFE00FF000001FFFFFE00FF00000000FF8000FF00000000FF 8000FF00000000FF0000FF00000000FF0000FF00000001FF0000FF00000001FF0000FF00 000001FE0000FF00000001FE0000FF00000003FE00007F00000003FE00007F80000003FC 00007F80000003FC00003F80000007FC00003FC0000007FC00001FC0000007F800001FE0 00000FF800000FF000001FF8000007F000003FF8000003F800007BF0000001FE0000F1F0 000000FF0003E0F00000003FE01F80F00000001FFFFF006000000007FFF8000000000000 7FC0000000003B4273BF46>I<0001FFFFFF01FFFFFF0003FFFFFF03FFFFFF0003FFFFFF 03FFFFFF000003FF000003FF00000003FE000003FE00000003FC000003FC00000003FC00 0003FC00000003FC000007FC00000007FC000007FC00000007F8000007F800000007F800 0007F800000007F800000FF80000000FF800000FF80000000FF000000FF00000000FF000 000FF00000000FF000001FF00000001FF000001FF00000001FE000001FE00000001FE000 001FE00000001FE000003FE00000003FE000003FE00000003FC000003FC00000003FC000 003FC00000003FC000007FC00000007FC000007FC00000007F8000007F800000007F8000 007F800000007F800000FF80000000FFFFFFFFFF80000000FFFFFFFFFF00000000FFFFFF FFFF00000000FF000001FF00000001FF000001FF00000001FE000001FE00000001FE0000 01FE00000001FE000003FE00000003FE000003FE00000003FC000003FC00000003FC0000 03FC00000003FC000007FC00000007FC000007FC00000007F8000007F800000007F80000 07F800000007F800000FF80000000FF800000FF80000000FF000000FF00000000FF00000 0FF00000000FF000001FF00000001FF000001FF00000001FE000001FE00000001FE00000 1FE00000001FE000003FE00000003FE000003FE00000003FC000003FC00000003FC00000 3FC00000007FC000007FC00000007FC000007FC00000007F8000007F80000000FFC00000 FFC00000FFFFFF80FFFFFF8000FFFFFF80FFFFFF8000FFFFFF80FFFFFF8000483E7BBD44 >I<0001FFFFFF0003FFFFFF0003FFFFFF000003FF00000003FE00000003FC00000003FC 00000003FC00000007FC00000007F800000007F800000007F80000000FF80000000FF000 00000FF00000000FF00000001FF00000001FE00000001FE00000001FE00000003FE00000 003FC00000003FC00000003FC00000007FC00000007F800000007F800000007F80000000 FF80000000FF00000000FF00000000FF00000001FF00000001FE00000001FE00000001FE 00000003FE00000003FC00000003FC00000003FC00000007FC00000007F800000007F800 000007F80000000FF80000000FF00000000FF00000000FF00000001FF00000001FE00000 001FE00000001FE00000003FE00000003FC00000003FC00000007FC00000007FC0000000 7F80000000FFC00000FFFFFF8000FFFFFF8000FFFFFF8000283E7BBD23>I<000001FFFF FF80000001FFFFFF80000001FFFFFF0000000000FFC000000000007FC000000000007F80 00000000007F800000000000FF800000000000FF000000000000FF000000000000FF0000 00000001FF000000000001FE000000000001FE000000000001FE000000000003FE000000 000003FC000000000003FC000000000003FC000000000007FC000000000007F800000000 0007F8000000000007F800000000000FF800000000000FF000000000000FF00000000000 0FF000000000001FF000000000001FE000000000001FE000000000001FE000000000003F E000000000003FC000000000003FC000000000003FC000000000007FC000000000007FC0 00000000007F8000000000007F800000000000FF800000000000FF800000000000FF0000 00000000FF000000000001FF000000000001FF000000000001FE000000000001FE000000 0F8003FE0000003FC003FE0000007FE003FC0000007FE003FC0000007FE007FC000000FF C007F8000000FFC00FF8000000FF800FF0000000FF001FE0000000FC001FE00000007000 3FC000000070007F800000003800FE000000003C01FC000000000F07F00000000007FFC0 0000000000FE0000000000314079BD30>I<0001FFFFFFC0000001FFFFFFC0000001FFFF FF8000000003FF000000000003FE000000000003FC000000000003FC000000000003FC00 0000000007FC000000000007F8000000000007F8000000000007F800000000000FF80000 0000000FF000000000000FF000000000000FF000000000001FF000000000001FE0000000 00001FE000000000001FE000000000003FE000000000003FC000000000003FC000000000 003FC000000000007FC000000000007F8000000000007F8000000000007F800000000000 FF800000000000FF000000000000FF000000000000FF000000000001FF000000000001FE 000000000001FE000000000001FE000000000003FE000000000003FC000000000003FC00 0000C00003FC000001E00007FC000001C00007F8000001C00007F8000003C00007F80000 0380000FF800000380000FF000000780000FF000000700000FF000000F00001FF000000F 00001FE000001E00001FE000001E00001FE000003E00003FE000007C00003FC00000FC00 003FC00001FC00007FC00003F800007FC00007F800007F80001FF80000FF8000FFF000FF FFFFFFFFF000FFFFFFFFFFF000FFFFFFFFFFE000333E7BBD39>76 D<0001FFFF0000000007FFFC0003FFFF000000000FFFFC0003FFFF000000001FFFFC0000 03FF000000001FFC00000003FF000000003FF800000003BF800000003FF000000003BF80 00000077F000000003BF80000000EFF000000007BF80000000EFF0000000073F80000001 CFE0000000073F80000001CFE0000000073F800000039FE00000000F3F800000071FE000 00000E3F800000071FC00000000E1FC000000E1FC00000000E1FC000000E3FC00000001E 1FC000001C3FC00000001C1FC00000383F800000001C1FC00000383F800000001C1FC000 00707F800000003C1FC00000707F80000000381FC00000E07F00000000381FC00001C07F 00000000381FC00001C0FF00000000780FE0000380FF00000000700FE0000380FE000000 00700FE0000700FE00000000700FE0000E01FE00000000F00FE0000E01FE00000000E00F E0001C01FC00000000E00FE0001C01FC00000000E00FE0003803FC00000001E00FE00070 03FC00000001C007F0007003F800000001C007F000E003F800000001C007F000E007F800 000003C007F001C007F8000000038007F0038007F0000000038007F0038007F000000003 8007F007000FF0000000078007F007000FF0000000070007F00E000FE0000000070007F0 1C000FE0000000070003F81C001FE00000000F0003F838001FE00000000E0003F870001F C00000000E0003F870001FC00000000E0003F8E0003FC00000001E0003F8E0003FC00000 001C0003F9C0003F800000001C0003FB80003F800000001C0003FB80007F800000003C00 01FF00007F80000000380001FF00007F00000000380001FE00007F00000000780001FC00 00FF00000000F80001FC0000FF00000001FC0001F80000FE00000007FE0001F80001FF00 0000FFFFF001F001FFFFFE0000FFFFF001E001FFFFFE0000FFFFF000E001FFFFFE000056 3E7BBD52>I<0001FFFFFFFF80000001FFFFFFFFF0000001FFFFFFFFFC00000003FE0003 FE00000003FE0000FF00000003FC00007F80000003FC00003FC0000007FC00001FC00000 07FC00001FE0000007F800001FE0000007F800001FE000000FF800001FF000000FF80000 1FF000000FF000001FF000000FF000001FF000001FF000001FF000001FF000003FE00000 1FE000003FE000001FE000003FE000003FE000003FC000003FE000007FC000003FC00000 7F8000003FC000007F8000007FC00000FF0000007FC00000FE0000007F800001FC000000 7F800003F8000000FF800007F0000000FF80000FE0000000FF00003FC0000000FF0001FF 00000001FFFFFFFC00000001FFFFFFE000000001FE00000000000001FE00000000000003 FE00000000000003FE00000000000003FC00000000000003FC00000000000007FC000000 00000007FC00000000000007F800000000000007F80000000000000FF80000000000000F F80000000000000FF00000000000000FF00000000000001FF00000000000001FF0000000 0000001FE00000000000001FE00000000000003FE00000000000003FE00000000000003F C00000000000003FC00000000000007FC00000000000007FC00000000000007F80000000 000000FFC00000000000FFFFFF8000000000FFFFFF8000000000FFFFFF80000000003C3E 7BBD3E>80 D<0000000FF001C00000007FFE01C0000001FFFF0380000007F80FC7800000 0FC003EF8000001F8001FF8000003F0000FF0000007E00007F000000FC00007F000001F8 00007F000003F000003E000003F000003E000007E000003E000007E000003E00000FE000 003C00000FC000003C00000FC000003C00000FC000003C00001FC000003800001FC00000 3800001FC000003800001FE000003800001FE000000000001FF000000000001FF0000000 00001FFC00000000000FFF00000000000FFFF0000000000FFFFE0000000007FFFFC00000 0003FFFFF000000001FFFFFC00000000FFFFFE000000003FFFFE000000000FFFFF000000 0001FFFF80000000001FFF800000000003FF800000000000FFC000000000007FC0000000 00003FC000000000003FC000000000001FC000000000001FC000070000001FC0000F0000 001FC0000F0000001F80000E0000001F80000E0000001F80001E0000003F80001E000000 3F00001E0000003F00001E0000003E00003E0000007E00003E0000007C00003F000000FC 00003F000001F800007F800001F000007F800003E000007FC00007C000007DE0001F8000 00F8F8003F000000F87F00FE000000F03FFFF8000000E00FFFE0000000C000FF00000000 32427ABF33>83 D<01FFFFFFFFFFFF01FFFFFFFFFFFF03FFFFFFFFFFFF03FE001FF001FF 03F8001FE0007F07E0001FE0003E07C0003FE0001E0780003FE0001E0F00003FC0001E0F 00003FC0001E1E00007FC0001E1E00007FC0001E1C00007F80001C3C00007F80001C3800 00FF80001C380000FF80001C780000FF00001C700000FF00001C700001FF00003CF00001 FF000038E00001FE000038000001FE000000000003FE000000000003FE000000000003FC 000000000003FC000000000007FC000000000007FC000000000007F8000000000007F800 000000000FF800000000000FF800000000000FF000000000000FF000000000001FF00000 0000001FF000000000001FE000000000001FE000000000003FE000000000003FE0000000 00003FC000000000003FC000000000007FC000000000007FC000000000007F8000000000 007F800000000000FF800000000000FF800000000000FF000000000000FF000000000001 FF000000000001FF000000000001FE000000000001FE000000000003FE000000000003FE 000000000003FC00000000000FFE000000003FFFFFFF8000007FFFFFFF8000007FFFFFFF 800000383D71BC41>I86 D<00007FFFFFFFFE00007F FFFFFFFE00007FFFFFFFFE0000FFF80007FC0000FFC00007F80000FF00000FF00001FC00 001FF00001F800003FE00001F000007FC00001E000007F800003E00000FF000003C00001 FF000003C00003FE000007800007FC000007800007F800000700000FF000000F00001FF0 00000E00003FE000000E00007FC000000E00007F8000001E0000FF000000000001FF0000 00000003FE000000000007FC000000000007F800000000000FF000000000001FF0000000 00003FE000000000007FC000000000007F800000000000FF800000000001FF0000000000 03FE000000000007FC000000000007F800000000000FF800000000001FF000000000003F E000000000007FC0000E0000007F80001E000000FF80001C000001FF00001C000003FE00 001C000007FC00003C000007F800003800000FF800007800001FF000007800003FE00000 7000007FC00000F000007F800000F00000FF800001E00001FF000001E00003FE000003E0 0007FC000007E00007F800000FC0000FF800001FC0001FF000003FC0003FE00000FF8000 7FC0000FFF80007FFFFFFFFF8000FFFFFFFFFF8000FFFFFFFFFF0000373E79BD38>90 D<000C0006001C000E0078003C00E0007001C000E0018000C0038001C0070003800E0007 000C0006001C000E0018000C0038001C0030001800700038006000300060003000E00070 00CF006780FFC07FE0FFC07FE0FFC07FE0FFC07FE0FFC07FE0FFC07FE0FF807FC07F003F 803C001E001F1C69BE2F>92 D<00007E00000001FF80000007C1C380001F80EFC0003F00 FFC0007E007FC000FC007F8001F8003F8003F0003F8003F0003F8007E0003F000FE0003F 000FC0003F001FC0007F001FC0007E003F80007E003F80007E003F8000FE007F8000FC00 7F0000FC007F0000FC007F0001FC00FF0001F800FE0001F800FE0001F800FE0003F800FE 0003F038FC0003F038FC0003F038FC0007F038FC0007E078FC000FE0707C000FE0707C00 1FE0F07E003FE0E03E007FE0E03E00F3E1E01F01E3E1C00F8781E38003FF00FF0000FC00 3E00252977A72E>97 D<001FC0000FFFC0000FFF80000FFF8000003F8000003F8000003F 0000003F0000007F0000007F0000007E0000007E000000FE000000FE000000FC000000FC 000001FC000001FC000001F8000001F8000003F8000003F8000003F0000003F07E0007F1 FF8007F783E007EF01F007FE01F00FF800F80FF800F80FF000FC0FE0007C1FC0007C1FC0 007E1F80007E1F8000FE3F8000FE3F8000FE3F0000FE3F0000FE7F0001FE7F0001FC7E00 01FC7E0001FC7E0003FCFE0003F8FC0003F8FC0003F8FC0007F0FC0007F0FC0007E0F800 0FE0F8000FC0F8001FC0F8001F8078003F007C003F007C007E003C00FC003E01F8001E03 E0000F07C00007FF000001F800001F4076BE2A>I<00001FE0000000FFF8000003F03E00 0007C00F00001F800700003F000780007E001F8000FC007F8001F8007F8003F0007F8007 F0007F0007E0007F000FE0007E001FC00000001FC00000003F800000003F800000003F80 0000007F800000007F000000007F000000007F00000000FF00000000FE00000000FE0000 0000FE00000000FE00000000FE00000000FE00000000FC000003007E000007007E00000F 007E00001E003E00003C003E000078001F0000F0001F0003E0000F800F800003E07E0000 01FFF80000003FC00000212977A72A>I<000000003F800000001FFF800000001FFF0000 00001FFF00000000007F00000000007F00000000007E00000000007E0000000000FE0000 000000FE0000000000FC0000000000FC0000000001FC0000000001FC0000000001F80000 000001F80000000003F80000000003F80000000003F00000000003F00000000007F00000 000007F00000000007E00000007E07E0000001FF8FE0000007C1CFE000001F80EFC00000 3F00FFC000007E007FC00000FC007FC00001F8003F800003F0003F800003F0003F800007 E0003F80000FE0003F00000FC0003F00001FC0007F00001FC0007F00003F80007E00003F 80007E00003F8000FE00007F8000FE00007F0000FC00007F0000FC00007F0001FC0000FF 0001FC0000FE0001F80000FE0001F80000FE0003F80000FE0003F83800FC0003F03800FC 0003F03800FC0007F03800FC0007F07800FC000FE070007C000FE070007C001FE0F0007E 003FE0E0003E007FE0E0003E00F3E1E0001F01E3E1C0000F8781E3800003FF00FF000000 FC003E0000294077BE2E>I<00003F800001FFE00007E0F8001F803C003E003C00FC001E 01F8001E03F0001E07F0001E0FE0003E0FC0003C1FC0003C3F80007C3F8000F83F8003F0 7F000FE07F00FF80FFFFFC00FFFFC000FE000000FE000000FE000000FE000000FC000000 FC000000FC000000FC000000FC000000FC000000FC000006FC00000EFC00001E7C00003C 7C0000783E0000F03E0001E01F0007C00F801F0007C0FC0001FFF000007F80001F2976A7 2A>I<000000007C0000000001FF0000000007C7800000000F83C00000001F87C0000000 1F1FC00000003F3FC00000003F3FC00000007E3FC00000007E3FC00000007E3F80000000 7E0E00000000FC0000000000FC0000000000FC0000000000FC0000000001FC0000000001 F80000000001F80000000001F80000000001F80000000003F80000000003F00000000003 F00000000003F000000003FFFFF8000003FFFFF8000003FFFFF800000007E00000000007 E00000000007E0000000000FE0000000000FC0000000000FC0000000000FC0000000000F C0000000000FC0000000001FC0000000001F80000000001F80000000001F80000000001F 80000000003F80000000003F00000000003F00000000003F00000000003F00000000007F 00000000007E00000000007E00000000007E00000000007E0000000000FE0000000000FC 0000000000FC0000000000FC0000000000FC0000000001FC0000000001F80000000001F8 0000000001F80000000001F80000000003F00000000003F00000000003F00000000003F0 0000000007E00000000007E00000000007E00000000007E0000000000FC00000001E0FC0 0000007F0FC00000007F0F80000000FF0F80000000FF1F00000000FF1F00000000FE1E00 000000F83C00000000703C000000007878000000003FE0000000000F80000000002A5383 BF1C>I<000003F00000000FFC0000003E0E1C0000FC077E0001F003FE0003F003FE0007 E001FE000FC001FC001F8001FC001F8001FC003F0001FC007F0001F8007E0001F800FE00 03F800FE0003F801FC0003F001FC0003F001FC0007F003FC0007F003F80007E003F80007 E003F8000FE007F8000FE007F0000FC007F0000FC007F0001FC007F0001FC007F0001F80 07E0001F8007E0003F8003E0003F8003E0007F0003F000FF0003F000FF0001F001FF0000 F003FE0000F80F7E00007C1EFE00001FF8FE000007E0FC00000000FC00000001FC000000 01FC00000001F800000001F800000003F800000003F800000003F0001C0007F0007F0007 E000FF000FE000FF000FC000FF001F8000FF003F0000FE007E0000F800FC00007C03F000 001FFFC0000003FE000000273B7CA72A>I<0001FC000000FFFC000000FFF8000000FFF8 00000003F800000003F800000003F000000003F000000007F000000007F000000007E000 000007E00000000FE00000000FE00000000FC00000000FC00000001FC00000001FC00000 001F800000001F800000003F800000003F800000003F000000003F03F800007F0FFE0000 7F3E0F80007E780FC0007EE007C000FFC007E000FF8007E000FF0007E000FF0007E001FE 0007E001FC0007E001FC0007E001F80007E003F8000FE003F8000FC003F0000FC003F000 0FC007F0001FC007F0001F8007E0001F8007E0001F800FE0003F800FE0003F000FC0003F 000FC0007F001FC0007E001FC000FE071F8000FC071F8000FC073F8001FC0F3F8001F80E 3F0001F80E3F0001F81E7F0001F01C7F0001F01C7E0001F0387E0001F038FE0001F070FE 0000F0E0FC00007FC03800001F0028407ABE2E>I<0000780001FC0001FC0003FC0003FC 0003FC0003F80000E0000000000000000000000000000000000000000000000000000000 000000000000000000000000007C0001FF00038F800707800E07C01E07C01C07C03C0FC0 380FC0380FC0781FC0701F80701F80F03F80F03F00003F00007F00007E0000FE0000FC00 00FC0001FC0001F80001F80003F80003F00003F03807F03807E0380FE0780FC0700FC070 0FC0F00F80E00F80E00F81C00F83C00F838007870003FE0000F800163E79BC1C>I<0001 FC000000FFFC000000FFF8000000FFF800000003F800000003F800000003F000000003F0 00000007F000000007F000000007E000000007E00000000FE00000000FE00000000FC000 00000FC00000001FC00000001FC00000001F800000001F800000003F800000003F800000 003F000000003F0003E0007F000FF8007F003C3C007E00707C007E00E1FC00FE01C1FC00 FE0383FC00FC0703FC00FC0E03FC01FC1C03F801FC3800E001F870000001F860000003F8 E0000003F9C0000003F780000003FE00000007FE00000007FFE0000007E7F8000007E0FE 00000FE07F00000FE03F80000FC01F80000FC00FC0001FC00FC0001FC00FC0701F800FC0 701F800FC0703F800FC0F03F801FC0E03F001F80E03F001F80E07F001F81E07F001F81C0 7E000F83C07E000F8380FE000F8780FE00078F00FC0003FE00380000F80026407ABE2A> 107 D<0007F003FFF003FFE003FFE0000FE0000FE0000FC0000FC0001FC0001FC0001F80 001F80003F80003F80003F00003F00007F00007F00007E00007E0000FE0000FE0000FC00 00FC0001FC0001FC0001F80001F80003F80003F80003F00003F00007F00007F00007E000 07E0000FE0000FE0000FC0000FC0001FC0001FC0001F80001F80003F80003F80003F0000 3F00007F00007F07007E07007E0700FE0F00FE0E00FC0E00FC0E00FC1E00FC1C00FC1C00 7C38007C78003C70001FE000078000144079BE17>I<01F0003F80007F000007FC01FFE0 03FFC0000F3E07C1F80F83F0000E1F0F00FC1E01F8001E1F1C007C3800F8001C1F38007E 7000FC003C1FF0007EE000FC00381FF0007FE000FC00381FE0007FC000FC00783FC0007F 8000FC00703FC0007F8000FC00703F80007F0000FC00703F00007E0000FC00F03F0000FE 0001FC00F07F0000FC0001F800007E0000FC0001F800007E0000FC0001F800007E0001FC 0003F80000FE0001FC0003F00000FC0001F80003F00000FC0001F80003F00000FC0003F8 0007F00001FC0003F80007E00001F80003F00007E00001F80003F0000FE00001F80007F0 000FC00003F80007F0001FC0E003F00007E0001F80E003F00007E0001F80E003F0000FE0 003F81E007F0000FE0003F01C007E0000FC0003F01C007E0000FC0003F01C007E0001FC0 003E03800FE0001FC0003E03800FC0001F80003E07000FC0001F80003E07000FC0003F80 003E0E001FC0003F80001E1C001F80003F00000FF8000700000E000003E000432979A74A >I<01F0003F800007FC01FFE0000F3E07C1F8000E1F0F00FC001E1F1C007C001C1F3800 7E003C1FF0007E00381FF0007E00381FE0007E00783FC0007E00703FC0007E00703F8000 7E00703F00007E00F03F0000FE00F07F0000FC00007E0000FC00007E0000FC00007E0001 FC0000FE0001F80000FC0001F80000FC0001F80000FC0003F80001FC0003F00001F80003 F00001F80007F00001F80007E00003F8000FE07003F0000FC07003F0000FC07003F0001F C0F007F0001F80E007E0001F80E007E0001F81E007E0001F01C00FE0001F01C00FC0001F 03800FC0001F03800FC0001F07001FC0000F0E001F800007FC0007000001F0002C2979A7 33>I<00001FC0000000FFF8000003F07C00000FC01F00001F801F00003F000F80007E00 0FC000FC0007C001F80007E003F00007E007F00007E007E00007E00FE00007F01FC00007 F01FC00007F03F800007F03F800007F03F80000FE07F80000FE07F00000FE07F00000FE0 7F00001FE0FF00001FC0FE00001FC0FE00001FC0FE00003F80FE00003F80FE00007F00FE 00007F00FC00007E007C0000FC007E0001FC007E0001F8007E0003F0003E0007E0001F00 0FC0001F001F80000F803E000007C0FC000001FFF00000003F800000242977A72E>I<00 03E001F800000FF807FE00001E7C1E0F80001C3E3C07C0003C3E7807C000383EE003E000 783FE003E000703FC003F000703F8001F000F07F0001F000E07F0001F800E07E0001F800 E07E0003F801E0FE0003F801E0FE0003F80000FC0003F80000FC0003F80001FC0007F800 01FC0007F00001F80007F00001F80007F00003F8000FF00003F8000FE00003F0000FE000 03F0000FE00007F0001FC00007F0001FC00007E0001F800007E0003F80000FE0003F0000 0FE0007F00000FE0007E00000FE000FC00001FE000FC00001FE001F800001FF003F00000 1FF007E000003FB80F8000003F9C1F0000003F0FFC0000003F03E00000007F0000000000 7F00000000007E00000000007E0000000000FE0000000000FE0000000000FC0000000000 FC0000000001FC0000000001FC0000000001F80000000001F80000000003F80000000003 F8000000007FFFE0000000FFFFE0000000FFFFE00000002D3A80A72E>I<00007E006000 01FF81E00007C1C3E0001F80E7C0003F00F7C0007E007FC000FC007FC001F8003F8003F0 003F8003F0003F8007E0003F800FE0003F000FC0003F001FC0003F001FC0007F003F8000 7E003F80007E003F80007E007F8000FE007F0000FC007F0000FC007F0000FC00FF0001FC 00FE0001F800FE0001F800FE0001F800FE0003F800FC0003F000FC0003F000FC0003F000 FC0007F000FC000FE0007C000FE0007C001FE0007E003FE0003E007FC0003E00FFC0001F 01EFC0000F879FC00003FF1F800000FC1F800000001F800000003F800000003F00000000 3F000000003F000000007F000000007E000000007E000000007E00000000FE00000000FC 00000000FC00000001FC00000003FC000000FFFFF00001FFFFF00001FFFFF000233A77A7 2A>I<01F000FC0007FC07FF800F3E0F03C00E1F1C03E01E1F380FE01C1F700FE03C1FE0 1FE0381FE01FE0381FC01FE0783FC01FC0703F800700703F800000703F000000F03F0000 00F07F000000007E000000007E000000007E00000000FE00000000FC00000000FC000000 00FC00000001FC00000001F800000001F800000001F800000003F800000003F000000003 F000000003F000000007F000000007E000000007E000000007E00000000FE00000000FC0 0000000FC00000000FC00000001FC00000001F800000000700000000232979A726>I<00 007F800001FFE00007C0F8001F003C003E001C003C001E007C003E00F8007E00F800FE00 F800FE01F800FC01F800FC01F8007001FC000001FE000001FFC00001FFFC0000FFFF0000 FFFF80007FFFC0003FFFE0000FFFF00000FFF000000FF0000007F0000003F00C0003F03F 0003F07F8001F07F8003F0FF0003E0FF0003E0FF0003E0FC0007C0F0000F8070000F8078 001F003C003C001F01F80007FFE00000FF00001F297AA725>I<0001C0000003F0000007 F0000007F0000007E0000007E000000FE000000FE000000FC000000FC000001FC000001F C000001F8000001F8000003F8000003F8000003F0000003F00007FFFFF80FFFFFF80FFFF FF00007E000000FE000000FE000000FC000000FC000001FC000001FC000001F8000001F8 000003F8000003F8000003F0000003F0000007F0000007F0000007E0000007E000000FE0 00000FE000000FC000000FC000001FC000001FC01C001F801C001F801C003F803C003F80 38003F0078003F0070003F00F0003F00E0003F01C0001F03C0001F0780000F0F000007FC 000001F00000193A78B81E>I<007C0000000001FF00001C00038F80007E00070780007E 000E07C0007E001E07C000FE001C07C000FE003C0FC000FC00380FC000FC00380FC001FC 00781FC001FC00701F8001F800701F8001F800F03F8003F800F03F0003F800003F0003F0 00007F0003F000007E0007F000007E0007F00000FE0007E00000FC0007E00000FC000FE0 0001FC000FE00001F8000FC00001F8000FC00001F8001FC00003F8001FC1C003F0001F81 C003F0001F81C003F0003F81C003F0003F83C003F0003F038003F0003F038003F0007F07 8001F000FF070001F001FF070001F801DF0F0000F8079F0E00007C0F0F1C00001FFC07F8 000007F001F0002A2979A731>I<007C0001C001FF0007F0038F8007F007078007F00E07 C007F81E07C007F81C07C003F83C0FC003F8380FC001F0380FC001F0781FC000F0701F80 00F0701F8000F0F03F8000F0F03F0000E0003F0000E0007F0000E0007E0001E0007E0001 C000FE0001C000FC0001C000FC0003C001FC00038001F800038001F800038001F8000700 03F800070003F0000F0003F0000E0003F0000E0003F0001C0003F0001C0003F000380003 F000780001F000700001F800E00000F801C00000FC038000007E0F0000001FFE00000003 F00000252979A72A>I<007C000000007001FF00007001FC038F8001F801FC07078001F8 01FC0E07C001F801FE1E07C003F801FE1C07C003F000FE3C0FC003F000FE380FC003F000 7C380FC007F0007C781FC007E0003C701F8007E0003C701F8007E0003CF03F800FE0003C F03F000FC00038003F000FC00038007F000FC00038007E001FC00078007E001F80007000 FE001F80007000FC001F80007000FC003F8000F001FC003F0000E001F8003F0000E001F8 003F0000E001F8003F0001E003F8007F0001C003F0007E0001C003F0007E0003C003F000 7E00038003F0007E00038003F0007E00070003F000FE00070003F000FE000E0001F001FE 001E0001F801FF001C0000F8039F00380000FC079F807000003E0F07C1E000001FFC03FF C0000003F0007F0000372979A73C>I<0003F001F800000FFC07FE00003C1E0E0F000078 0F1C0F8000F00FB83F8001E00FF83F8001C007F07F80038007F07F80078007E07F800700 0FE07F000F000FE01C000E000FC000000E000FC000001E001FC000001E001FC000000000 1F80000000001F80000000003F80000000003F00000000003F00000000003F0000000000 7F00000000007E00000000007E00000000007E0000000000FE0000000000FC001C000000 FC001C000000FC001C000001FC003C001E01FC0038003F01F80078007F81F80070007F83 F800F000FF83F800E000FF077801C000FE0F7C03C0007C0E3C078000783C1E1E00001FF8 0FFC000007E003F0000029297CA72A>I<007C00000001FF000038038F8000FC07078000 FC0E07C000FC1E07C001FC1C07C001F83C0FC001F8380FC001F8380FC003F8781FC003F0 701F8003F0701F8003F0F03F8007F0F03F0007E0003F0007E0007F0007E0007E000FE000 7E000FC000FE000FC000FC000FC000FC001FC001FC001FC001F8001F8001F8001F8001F8 003F8003F8003F0003F0003F0003F0003F0003F0007F0003F0007E0003F0007E0003F000 7E0003F000FE0003F000FC0001F001FC0001F803FC0000F807FC00007C1FF800003FF9F8 000007E1F800000003F800000003F000000003F000000007F0000E0007E0003F8007E000 7F800FC0007F800FC0007F801F8000FF001F0000FF003E00007C007E00007000FC000078 01F000003803E000001E0FC000000FFF00000003F8000000263B79A72C>I123 D E /Fu 4 111 df<7FFFFFFC00000000FFFFFFFC000000 007FFFFFFC0000000003E01F000000000000E01C000000000000E01C000000000000E01C 000000000000E01C000000000000E01C000000000000E01C000000000000E01C00000000 0000E01C000000000000E01C000000000000E01C000000000000E01C000000000000E01C 000000000000E01C000000000000E01C000000000000E01C000000000000E01C00000000 0000E01C000000000000E01C000000000000E01C000000000000E01C000000000000E01C 000000000000E01C000000000000E01C000000000000E01C000000000000E01C00000000 0000E01C000000000000E01C000000000000E01C000000000000E01C000000000000E01C 000000000000E01C000000000000E01C000000000000E01C000000000000E01C00000000 0000E01C000000000000E01C000000000000E01C000000000000E01C000000000000E01C 000000018000E01C00000003C000E01C000000038000E01C000000038000E01C00000007 8000E01C000000078000E01C0000000F8000E01C0000000F8000E01C0000001F8000E01C 0000003F0000E01C0000007F0000E01C000001F70000E01C000003E70000E01C00000FC7 0000E01C00003F070000E01E0000FE0F0003E00E000FF80E007FFFFFFFFFFFFE00FFFFFF FFFFFFFE007FFFFFFFFFFFFE003A3E7FBD33>76 D<7FFFFFFFFC000000FFFFFFFFFFC000 007FFFFFFFFFF8000003E007C07FFE000000E00F001F7F800000E00E00078FC00000E00E 000383E00000E00E0003C0F00000E00E0001C0780000E00E0001C03C0000E00E0001C01E 0000E00E0001E00E0000E00E0000E00E0000E00E0000E00F0000E00E0000E0070000E00E 0000E0070000E00E0000E0070000E00E0000E0070000E00E0000E0070000E00E0000E007 0000E00E0000E0070000E00E0000E00F0000E00E0000E00E0000E00E0001E01E0000E00E 0001C01C0000E00E0001C03C0000E00E0003C0780000E00E000381F00000E00E000787E0 0000E00E001F7FC00000E00E01FFFF000000E00FFFFFFC000000E00FFFFFC0000000E00F FFF700000000E00E1C0780000000E00E1E03C0000000E00E0E01C0000000E00E0F01E000 0000E00E0780E0000000E00E0380F0000000E00E03C078000000E00E01E038000000E00E 00E03C000000E00E00F01E000000E00E00780E000000E00E00380F000000E00E003C0780 0000E00E001E03800000E00E000E03C00000E00E000F01E00000E00E000780F00000E00E 000380700000E00E0003C0780000E00E0001E03C0000E00E0000E01E0000E00E0000F00F 0000E00E000078078000E00E00003803C003E00F80003C01E07FFFFFFE001FFFFCFFFFFF FE000FFFFC7FFFFFFE0007FFFC3E3E7EBD39>82 D<0003FF800180003FFFF0038000FFFF FE0F8001FF80FFFF8007FE003FFF800FF8000FFB801F700003C3801CF00001E3803CE000 00F38078E000007B8071E000003F8071C000001F80F1C000000F80E1C000000F80E1E000 000780E0E000000780E0F000000380E07000000380E07C00000180E03E00000000E01F00 000000E007C0000000E003F0000000F001FE00000070007F80000078001FF000003C0003 FC00001E0000FF00000F00001FC00007800007F00003E00001F80001F800007C0000FE00 001E00003F80000F00000FF00007800003FC0003C00000FF0001C000001FC001E0000007 E000F0000001F800700000007C00780000003E00384000000F0038E00000078038E00000 03C038E0000001C038E0000001E03CF0000000E038F0000000F038F00000007038F80000 007038F80000007038FC0000007078FE0000007070EE00000070F0EF000000F1E0E78000 00E3C0E3C00000E780E1E00001FF00EFF80003FE00FFFE0007FC00FFFFC03FF000F83FFF FFC000E007FFFF00006000FFE000002E417DBF3A>I<600000000060F800000000F0FC00 000001F0FE00000003F0FF00000007E0FF8000000FC0FFC000001F80F7E000003F00F3F0 00007E00F1F80000FC00F0FC0001F800F07E0003F000F03F0007E000F01F800FC000F00F C01F8000F007E03F0000F003F07E0000F001F8FC0000F000FDF80000F0007FF00000F000 3FE00000F0001FC00000F0001FC00000F0003FE00000F0007FF00000F000FDF80000F001 F8FC0000F003F07E0000F007E03F0000F00FC01F8000F01F800FC000F03F0007E000F07E 0003F000F0FC0001F800F1F80000FC00F3F000007E00F7E000003F00FFC000001F80FF80 00000FC0FF00000007E0FE00000003F0FC00000001F0F800000000F06000000000602C2C 73AC47>110 D E /Fv 36 124 df<000000FFF8000000000FFFFF000000007FFFFF8000 0001FFFFFFE0000007FFC01FF000000FFE0007F000001FF8000FF800003FE0001FF80000 7FC0003FFC0000FFC0003FFC0000FF80003FFC0001FF80003FFC0001FF00003FFC0001FF 00003FFC0001FF00001FF80001FF00000FF00001FF000003C00001FF000000000001FF00 0000000001FF000000000001FF000000000001FF000000000001FF000000000001FF0000 03FC00FFFFFFFFFFFC00FFFFFFFFFFFC00FFFFFFFFFFFC00FFFFFFFFFFFC00FFFFFFFFFF FC0001FF80001FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC 0001FF80000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC00 01FF80000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC0001 FF80000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC0001FF 80000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC0001FF80 000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC0001FF80000FFC007FFFFE03 FFFFF07FFFFE03FFFFF07FFFFE03FFFFF07FFFFE03FFFFF07FFFFE03FFFFF034407EBF3A >12 D<000F00001FC0003FE0007FE000FFF001FFF003FFF003FFF007FFE00FFFE01FFF80 3FFF007FFC007FF000FFC0007F00003C000038000014126BBF34>19 D<0FC01FE03FF07FF8FFFCFFFCFFFCFFFCFFFCFFFC7FF83FF01FE00FC00E0E798D1D>46 D<0000FFE000000007FFFC0000001FFFFF0000007FFFFFC00000FFE0FFE00001FF803FF0 0003FE000FF80007FC0007FC0007FC0007FC000FF80003FE001FF80003FF001FF80003FF 001FF80003FF003FF00001FF803FF00001FF803FF00001FF807FF00001FFC07FF00001FF C07FF00001FFC07FF00001FFC07FF00001FFC0FFF00001FFE0FFF00001FFE0FFF00001FF E0FFF00001FFE0FFF00001FFE0FFF00001FFE0FFF00001FFE0FFF00001FFE0FFF00001FF E0FFF00001FFE0FFF00001FFE0FFF00001FFE0FFF00001FFE0FFF00001FFE0FFF00001FF E0FFF00001FFE0FFF00001FFE0FFF00001FFE0FFF00001FFE0FFF00001FFE07FF00001FF C07FF00001FFC07FF00001FFC07FF00001FFC07FF00001FFC03FF00001FF803FF80003FF 803FF80003FF801FF80003FF001FF80003FF000FF80003FE000FFC0007FE0007FE000FFC 0003FF001FF80001FF803FF00000FFE0FFE000007FFFFFC000001FFFFF00000007FFFC00 000000FFE000002B3D7CBB34>48 D<00000F000000003F000000007F00000001FF000000 0FFF000001FFFF0000FFFFFF0000FFFFFF0000FFFFFF0000FFF7FF0000FE07FF00000007 FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF 00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF00 000007FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF0000 0007FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF000000 07FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007 FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF00000007FF 0000FFFFFFFFF0FFFFFFFFF0FFFFFFFFF0FFFFFFFFF0FFFFFFFFF0243C78BB34>I<0003 FF800000003FFFF8000000FFFFFE000003FFFFFF800007FFFFFFC0000FF80FFFE0001FC0 03FFF0003F8000FFF8007FC0007FFC007FE0003FFE00FFF0003FFE00FFF8001FFF00FFF8 001FFF00FFF8000FFF80FFF8000FFF80FFF8000FFF80FFF8000FFF807FF0000FFF803FE0 000FFF801FC0000FFF800700000FFF800000000FFF800000001FFF000000001FFF000000 001FFE000000003FFE000000003FFC000000007FF8000000007FF800000000FFF0000000 00FFE000000001FFC000000003FF8000000007FE0000000007FC000000000FF800000000 1FE0000000003FC0000000007F8000000000FF000F800001FC000F800003F8000F800007 F0001F00000FE0001F00001F80001F00003F00001F00007E00003F0000FC00003F0001FF FFFFFF0003FFFFFFFE0007FFFFFFFE000FFFFFFFFE001FFFFFFFFE003FFFFFFFFE007FFF FFFFFE00FFFFFFFFFE00FFFFFFFFFC00FFFFFFFFFC00FFFFFFFFFC00FFFFFFFFFC00293C 7BBB34>I<0001FFE00000000FFFFE0000003FFFFF800000FFFFFFE00001FF81FFF00003 FC007FF80007F0003FFC0007F0003FFE000FFC001FFE000FFE001FFF001FFE001FFF001F FF001FFF001FFF001FFF001FFF001FFF001FFF001FFF001FFF001FFF000FFE001FFF000F FE001FFE0007FC003FFE0001F0003FFC000000003FFC000000007FF8000000007FF00000 0000FFE000000001FFC00000000FFF80000007FFFE00000007FFF800000007FFFE000000 07FFFFC000000001FFF0000000007FF8000000003FFC000000001FFE000000000FFF0000 00000FFF800000000FFF8000000007FFC000000007FFC000000007FFE00FC00007FFE01F E00007FFE03FF00007FFE07FF80007FFE0FFFC0007FFE0FFFC0007FFE0FFFC0007FFE0FF FC0007FFC0FFFC0007FFC0FFFC000FFFC0FFF8000FFF807FF8000FFF807FF0001FFF003F C0003FFE001FE0007FFC000FFE01FFF80007FFFFFFF00003FFFFFFE00000FFFFFF800000 3FFFFE00000003FFE000002B3D7CBB34>I<00000001F80000000003F80000000007F800 00000007F8000000000FF8000000001FF8000000003FF8000000003FF8000000007FF800 000000FFF800000001FFF800000003FFF800000003FFF800000007FFF80000000FFFF800 00001FBFF80000003F3FF80000003E3FF80000007C3FF8000000FC3FF8000001F83FF800 0001F03FF8000003E03FF8000007E03FF800000FC03FF800001F803FF800001F003FF800 003E003FF800007E003FF80000FC003FF80001F8003FF80001F0003FF80003E0003FF800 07E0003FF8000FC0003FF8000F80003FF8001F00003FF8003F00003FF8007E00003FF800 FC00003FF800FFFFFFFFFFF8FFFFFFFFFFF8FFFFFFFFFFF8FFFFFFFFFFF8FFFFFFFFFFF8 0000007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF800 0000007FF8000000007FF8000000007FF8000000007FF8000001FFFFFFF80001FFFFFFF8 0001FFFFFFF80001FFFFFFF80001FFFFFFF82D3C7DBB34>I<000007FF000000003FFFC0 000001FFFFF0000007FFFFF800000FFF03FC00003FF800FC00007FE001FE0000FFC003FE 0001FF8007FF0003FF000FFF0003FF000FFF0007FE000FFF000FFE000FFF000FFE000FFF 001FFC000FFF001FFC0007FE003FFC0003FC003FFC0001F8003FFC000000007FF8000000 007FF8000000007FF8020000007FF83FFE0000FFF87FFF8000FFF9FFFFE000FFFBFFFFF0 00FFFBE03FF800FFFF800FFC00FFFF0007FE00FFFF0007FF00FFFE0007FF00FFFE0003FF 80FFFC0003FFC0FFFC0003FFC0FFFC0003FFC0FFFC0003FFE0FFF80003FFE0FFF80003FF E0FFF80003FFE0FFF80003FFE07FF80003FFE07FF80003FFE07FF80003FFE07FF80003FF E07FF80003FFE03FF80003FFE03FF80003FFE03FFC0003FFC01FFC0003FFC01FFC0003FF C00FFC0007FF800FFE0007FF0007FE0007FF0003FF000FFE0001FF801FFC0000FFE07FF8 00007FFFFFF000003FFFFFE000001FFFFF80000007FFFE00000000FFF000002B3D7CBB34 >54 D<0000FFF000000007FFFE0000001FFFFF8000007FFFFFE00000FFC07FF00001FE00 1FF80003FC000FFC0007F80007FE0007F80003FE000FF00003FE000FF00003FF000FF000 01FF001FF00001FF001FF00001FF001FF80001FF001FFC0001FF001FFE0001FF001FFF00 03FF001FFFC003FE001FFFF003FE000FFFF807FC000FFFFE0FF8000FFFFF9FF00007FFFF FFE00003FFFFFFC00003FFFFFF800001FFFFFF000000FFFFFF8000007FFFFFE000001FFF FFF000003FFFFFF80000FFFFFFFC0001FFFFFFFE0007FE3FFFFF000FFC1FFFFF801FF807 FFFF801FF001FFFFC03FE0007FFFC07FE0003FFFC07FC0000FFFE07FC00003FFE0FF8000 01FFE0FF800000FFE0FF8000007FE0FF8000007FE0FF8000003FE0FF8000003FE0FF8000 003FE0FFC000003FC07FC000003FC07FC000007F807FE000007F803FF00000FF001FF800 01FF001FFE0007FE000FFFC03FFC0007FFFFFFF80001FFFFFFE000007FFFFFC000001FFF FE00000001FFF000002B3D7CBB34>56 D<0001FFE00000000FFFFC0000003FFFFF000000 FFFFFFC00001FFE0FFE00003FF003FF00007FE001FF8000FFE000FFC001FFC000FFC001F FC0007FE003FFC0007FE007FF80007FF007FF80003FF007FF80003FF80FFF80003FF80FF F80003FF80FFF80003FFC0FFF80003FFC0FFF80003FFC0FFF80003FFC0FFF80003FFC0FF F80003FFE0FFF80003FFE0FFF80003FFE0FFF80003FFE07FF80007FFE07FF80007FFE07F F80007FFE07FF80007FFE03FF8000FFFE01FFC000FFFE01FFC001FFFE00FFE001FFFE007 FE003FFFE003FF80FBFFE001FFFFFBFFE0007FFFF3FFE0003FFFC3FFE0000FFF83FFC000 000803FFC000000003FFC000000003FFC000000007FF8003F00007FF8007F80007FF800F FC0007FF001FFE0007FF001FFE000FFE001FFE000FFE001FFE000FFC001FFE001FFC001F FE003FF8001FFC003FF0000FF800FFE0000FF001FFC00007FC0FFF800003FFFFFF000001 FFFFFC000000FFFFF00000007FFFC00000000FFE0000002B3D7CBB34>I69 D76 D80 D82 D<0003FFC001C0001FFF F803C0007FFFFE07C001FFFFFF8FC003FFFFFFDFC007FF00FFFFC00FF8000FFFC01FF000 03FFC01FE00001FFC03FC000007FC07FC000007FC07F8000003FC07F8000001FC0FF8000 001FC0FF8000000FC0FF8000000FC0FFC000000FC0FFC0000007C0FFC0000007C0FFE000 0007C0FFF0000007C0FFFC00000000FFFF800000007FFFF80000007FFFFFC000003FFFFF FC00003FFFFFFF80001FFFFFFFE0001FFFFFFFF8000FFFFFFFFC0007FFFFFFFE0003FFFF FFFF0001FFFFFFFF80007FFFFFFFC0003FFFFFFFC00007FFFFFFE000007FFFFFE0000007 FFFFF00000003FFFF000000003FFF000000000FFF8000000007FF8000000003FF8780000 003FF8F80000001FF8F80000001FF8F80000000FF8F80000000FF8FC0000000FF8FC0000 000FF8FC0000000FF0FE0000000FF0FE0000001FF0FF0000001FE0FF8000003FE0FFE000 003FC0FFF800007F80FFFE0001FF80FFFFE007FF00FEFFFFFFFE00FC7FFFFFF800F81FFF FFF000F003FFFFC000E0003FFE00002D407ABE3A>I<3FFFFFFFFFFFFFFC3FFFFFFFFFFF FFFC3FFFFFFFFFFFFFFC3FFFFFFFFFFFFFFC3FFFFFFFFFFFFFFC3FFE003FFE003FFC7FF0 003FFE000FFE7FC0003FFE0003FE7F80003FFE0001FE7F00003FFE0000FE7F00003FFE00 007E7E00003FFE00007E7E00003FFE00007E7C00003FFE00003E7C00003FFE00003E7C00 003FFE00003E7C00003FFE00003EFC00003FFE00003FF800003FFE00001FF800003FFE00 001FF800003FFE00001FF800003FFE00001FF800003FFE00001F0000003FFE0000000000 003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE00 00000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000 003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE00 00000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000 003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE00 00000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000 003FFE0000000000003FFE0000000000003FFE0000000000003FFE0000000000003FFE00 0000000FFFFFFFFFF800000FFFFFFFFFF800000FFFFFFFFFF800000FFFFFFFFFF800000F FFFFFFFFF800403D7CBC49>I<0007FFC00000003FFFF8000001FFFFFF000003FFFFFF80 0007FE03FFC0000FF800FFE0000FFC003FF0001FFE003FF8001FFE001FFC001FFE001FFC 001FFE001FFC001FFE000FFE001FFE000FFE000FFC000FFE0007F8000FFE0001E0000FFE 000000000FFE000000003FFE000000FFFFFE00000FFFFFFE00007FFFFFFE0001FFFE0FFE 0003FFE00FFE000FFF800FFE001FFE000FFE003FFC000FFE003FF8000FFE007FF0000FFE 00FFF0000FFE00FFE0000FFE00FFE0000FFE00FFE0000FFE00FFE0000FFE00FFE0001FFE 00FFF0001FFE007FF0003FFE007FF8007BFF803FFC00FBFFFE1FFF07F3FFFE0FFFFFE1FF FE03FFFF80FFFE00FFFF003FFE001FF80000002F2B7DA933>97 D<00007FF0000007FFFF 00001FFFFFC0007FFFFFE000FFF01FF001FF800FF803FF001FF807FE003FFC0FFE003FFC 1FFC003FFC1FFC003FFC3FF8003FFC3FF8003FFC7FF8001FF87FF0000FF07FF00003C0FF F0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF0000000FFF0 000000FFF0000000FFF0000000FFF00000007FF00000007FF80000007FF80000007FF800 00003FF800003E3FFC00003E1FFC00007E0FFE00007C07FF0000FC07FF8001F803FFC003 F000FFF81FE0007FFFFFC0001FFFFF800007FFFE0000007FF000272B7DA92E>99 D<0000000007F80000000007FFF80000000007FFF80000000007FFF80000000007FFF800 00000007FFF800000000003FF800000000001FF800000000001FF800000000001FF80000 0000001FF800000000001FF800000000001FF800000000001FF800000000001FF8000000 00001FF800000000001FF800000000001FF800000000001FF800000000001FF800000000 001FF800000000001FF80000007FF01FF8000007FFFE1FF800001FFFFF9FF800007FFFFF DFF80000FFF01FFFF80001FFC003FFF80003FF0001FFF80007FE00007FF8000FFC00007F F8001FFC00003FF8001FF800003FF8003FF800003FF8003FF800003FF8007FF800003FF8 007FF000003FF8007FF000003FF800FFF000003FF800FFF000003FF800FFF000003FF800 FFF000003FF800FFF000003FF800FFF000003FF800FFF000003FF800FFF000003FF800FF F000003FF800FFF000003FF8007FF000003FF8007FF000003FF8007FF000003FF8007FF8 00003FF8003FF800003FF8003FF800003FF8001FFC00007FF8000FFC00007FF8000FFE00 00FFF80007FF0003FFFC0003FF8007FFFFE001FFF03FFFFFE0007FFFFFBFFFE0003FFFFF 3FFFE00007FFFC3FFFE00000FFE03FE00033407DBE3A>I<0000FFF000000007FFFE0000 001FFFFF8000007FFFFFC00000FFE07FE00001FF801FF00003FF000FF80007FE0007FC00 0FFC0003FE001FFC0003FE001FF80001FE003FF80001FF003FF80001FF007FF00001FF00 7FF00000FF807FF00000FF80FFF00000FF80FFF00000FF80FFFFFFFFFF80FFFFFFFFFF80 FFFFFFFFFF80FFFFFFFFFF80FFF000000000FFF000000000FFF000000000FFF000000000 FFF0000000007FF0000000007FF0000000007FF8000000003FF8000000003FF800000F80 1FFC00000F801FFC00001F800FFE00001F0007FF00003F0003FF80007E0001FFE001FC00 00FFF80FF800003FFFFFF000001FFFFFC0000003FFFF000000007FF80000292B7DA930> I<000007FE0000007FFF800001FFFFC00007FFFFE0000FFE3FF0001FF03FF0003FE07FF8 007FC07FF800FFC07FF800FF807FF800FF807FF801FF003FF001FF001FE001FF000FC001 FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF00000001FF 00000001FF00000001FF000000FFFFFFE000FFFFFFE000FFFFFFE000FFFFFFE000FFFFFF E00001FF80000001FF80000001FF80000001FF80000001FF80000001FF80000001FF8000 0001FF80000001FF80000001FF80000001FF80000001FF80000001FF80000001FF800000 01FF80000001FF80000001FF80000001FF80000001FF80000001FF80000001FF80000001 FF80000001FF80000001FF80000001FF80000001FF80000001FF80000001FF80000001FF 80000001FF8000007FFFFF80007FFFFF80007FFFFF80007FFFFF80007FFFFF800025407D BF20>I<00FF0000000000FFFF0000000000FFFF0000000000FFFF0000000000FFFF0000 000000FFFF000000000007FF000000000003FF000000000003FF000000000003FF000000 000003FF000000000003FF000000000003FF000000000003FF000000000003FF00000000 0003FF000000000003FF000000000003FF000000000003FF000000000003FF0000000000 03FF000000000003FF000000000003FF001FF8000003FF00FFFE000003FF03FFFF800003 FF07FFFFC00003FF0FE0FFE00003FF1F007FE00003FF3C007FF00003FF78007FF00003FF F0003FF80003FFE0003FF80003FFE0003FF80003FFC0003FF80003FFC0003FF80003FFC0 003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF8000 3FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003F F80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF8 0003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF800 03FF80003FF80003FF80003FF800FFFFFE0FFFFFE0FFFFFE0FFFFFE0FFFFFE0FFFFFE0FF FFFE0FFFFFE0FFFFFE0FFFFFE0333F7CBE3A>104 D<01F80003FC0007FE000FFF001FFF 801FFF801FFF801FFF801FFF801FFF800FFF0007FE0003FC0001F8000000000000000000 0000000000000000000000000000000000000000FF00FFFF00FFFF00FFFF00FFFF00FFFF 0007FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF 0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF 0003FF0003FF0003FF0003FF0003FF0003FF00FFFFF8FFFFF8FFFFF8FFFFF8FFFFF81540 7CBF1D>I<00FF0000000000FFFF0000000000FFFF0000000000FFFF0000000000FFFF00 00000000FFFF000000000007FF000000000003FF000000000003FF000000000003FF0000 00000003FF000000000003FF000000000003FF000000000003FF000000000003FF000000 000003FF000000000003FF000000000003FF000000000003FF000000000003FF00000000 0003FF000000000003FF000000000003FF000000000003FF000FFFFE0003FF000FFFFE00 03FF000FFFFE0003FF000FFFFE0003FF000FFFFE0003FF0001FE000003FF0003FC000003 FF0007F0000003FF001FE0000003FF003FC0000003FF007F80000003FF00FF00000003FF 03FC00000003FF07F800000003FF0FF000000003FF1FF000000003FF7FF800000003FFFF FC00000003FFFFFC00000003FFFFFE00000003FFFFFF00000003FFE7FF80000003FFC3FF C0000003FF81FFC0000003FF00FFE0000003FF00FFF0000003FF007FF8000003FF003FFC 000003FF001FFC000003FF000FFE000003FF000FFF000003FF0007FF800003FF0003FFC0 0003FF0001FFC00003FF0000FFE000FFFFFC07FFFFC0FFFFFC07FFFFC0FFFFFC07FFFFC0 FFFFFC07FFFFC0FFFFFC07FFFFC0323F7DBE37>107 D<00FF00FFFF00FFFF00FFFF00FF FF00FFFF0007FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003 FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003 FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003 FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003FF0003 FF0003FF0003FF0003FF0003FF0003FF00FFFFFCFFFFFCFFFFFCFFFFFCFFFFFC163F7CBE 1D>I<00FF001FF80000FFC00000FFFF00FFFF0007FFF80000FFFF03FFFFC01FFFFE0000 FFFF07FFFFE03FFFFF0000FFFF0FE0FFF07F07FF8000FFFF1F003FF0F801FF800007FF3E 003FF9F001FFC00003FF78003FFBC001FFC00003FFF0001FFF8000FFE00003FFF0001FFF 8000FFE00003FFE0001FFF0000FFE00003FFC0001FFE0000FFE00003FFC0001FFE0000FF E00003FFC0001FFE0000FFE00003FF80001FFC0000FFE00003FF80001FFC0000FFE00003 FF80001FFC0000FFE00003FF80001FFC0000FFE00003FF80001FFC0000FFE00003FF8000 1FFC0000FFE00003FF80001FFC0000FFE00003FF80001FFC0000FFE00003FF80001FFC00 00FFE00003FF80001FFC0000FFE00003FF80001FFC0000FFE00003FF80001FFC0000FFE0 0003FF80001FFC0000FFE00003FF80001FFC0000FFE00003FF80001FFC0000FFE00003FF 80001FFC0000FFE00003FF80001FFC0000FFE00003FF80001FFC0000FFE00003FF80001F FC0000FFE00003FF80001FFC0000FFE00003FF80001FFC0000FFE00003FF80001FFC0000 FFE000FFFFFE07FFFFF03FFFFF80FFFFFE07FFFFF03FFFFF80FFFFFE07FFFFF03FFFFF80 FFFFFE07FFFFF03FFFFF80FFFFFE07FFFFF03FFFFF8051297CA858>I<00FF001FF80000 FFFF00FFFE0000FFFF03FFFF8000FFFF07FFFFC000FFFF0FE0FFE000FFFF1F007FE00007 FF3C007FF00003FF78007FF00003FFF0003FF80003FFE0003FF80003FFE0003FF80003FF C0003FF80003FFC0003FF80003FFC0003FF80003FF80003FF80003FF80003FF80003FF80 003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF8000 3FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003F F80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF8 0003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF800FFFFFE0FFFFFE0 FFFFFE0FFFFFE0FFFFFE0FFFFFE0FFFFFE0FFFFFE0FFFFFE0FFFFFE033297CA83A>I<00 007FF000000003FFFE0000001FFFFFC000007FFFFFF00000FFE03FF80001FF800FFC0003 FE0003FE0007FC0001FF000FFC0001FF801FF80000FFC01FF80000FFC03FF80000FFE03F F000007FE07FF000007FF07FF000007FF07FF000007FF07FF000007FF0FFF000007FF8FF F000007FF8FFF000007FF8FFF000007FF8FFF000007FF8FFF000007FF8FFF000007FF8FF F000007FF8FFF000007FF8FFF000007FF87FF000007FF07FF000007FF07FF000007FF07F F000007FF03FF80000FFE03FF80000FFE01FF80000FFC00FFC0001FF800FFC0001FF8007 FE0003FF0003FF800FFE0001FFE03FFC00007FFFFFF000001FFFFFC0000007FFFF000000 007FF000002D2B7DA934>I<00FF00FFE00000FFFF07FFFC0000FFFF1FFFFF8000FFFF7F FFFFC000FFFFFF81FFF000FFFFFC007FF80003FFF0003FFC0003FFE0001FFE0003FFC000 0FFE0003FF800007FF0003FF800007FF8003FF800007FF8003FF800003FFC003FF800003 FFC003FF800003FFC003FF800001FFC003FF800001FFE003FF800001FFE003FF800001FF E003FF800001FFE003FF800001FFE003FF800001FFE003FF800001FFE003FF800001FFE0 03FF800001FFE003FF800001FFE003FF800003FFC003FF800003FFC003FF800003FFC003 FF800003FF8003FF800007FF8003FF800007FF0003FF80000FFF0003FFC0000FFE0003FF E0001FFC0003FFF0003FF80003FFFC00FFF00003FFFF03FFE00003FFFFFFFFC00003FF9F FFFF000003FF87FFFC000003FF81FFC0000003FF800000000003FF800000000003FF8000 00000003FF800000000003FF800000000003FF800000000003FF800000000003FF800000 000003FF800000000003FF800000000003FF800000000003FF8000000000FFFFFE000000 00FFFFFE00000000FFFFFE00000000FFFFFE00000000FFFFFE00000000333B7DA83A>I< 00007FE00078000007FFFC00F800001FFFFF01F800007FFFFF81F80000FFF81FC3F80001 FFE007E7F80003FF8003F7F80007FF0001FFF8000FFE0000FFF8001FFE00007FF8001FFC 00007FF8003FFC00003FF8003FF800003FF8007FF800003FF8007FF800001FF8007FF800 001FF800FFF000001FF800FFF000001FF800FFF000001FF800FFF000001FF800FFF00000 1FF800FFF000001FF800FFF000001FF800FFF000001FF800FFF000001FF800FFF000001F F8007FF000001FF8007FF800001FF8007FF800001FF8007FF800001FF8003FFC00003FF8 003FFC00007FF8001FFC00007FF8000FFE0000FFF8000FFF0001FFF80007FF8003FFF800 03FFC00FFFF80001FFF03FFFF800007FFFFFBFF800003FFFFE3FF8000007FFF83FF80000 00FFC03FF800000000003FF800000000003FF800000000003FF800000000003FF8000000 00003FF800000000003FF800000000003FF800000000003FF800000000003FF800000000 003FF800000000003FF800000000003FF8000000000FFFFFE00000000FFFFFE00000000F FFFFE00000000FFFFFE00000000FFFFFE0333B7DA837>I<01FE01FE00FFFE07FF80FFFE 0FFFE0FFFE1FFFF0FFFE3F1FF0FFFE7C3FF807FEF83FF803FEF03FF803FFE03FF803FFE0 3FF803FFC01FF003FFC00FE003FF8007C003FF80000003FF80000003FF80000003FF0000 0003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF000000 03FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003 FF00000003FF00000003FF00000003FF00000003FF000000FFFFFF0000FFFFFF0000FFFF FF0000FFFFFF0000FFFFFF000025297DA82B>I<003FFC1E0001FFFFBE0007FFFFFE000F FFFFFE001FF00FFE003F8001FE007F0000FE007E00007E007E00007E00FE00003E00FE00 003E00FF00003E00FF80003E00FFC0000000FFF8000000FFFFE000007FFFFF00007FFFFF C0003FFFFFF0001FFFFFF8000FFFFFFC0007FFFFFE0003FFFFFF0000FFFFFF80001FFFFF 800000FFFF80000007FFC0000000FFC07800007FC0F800003FC0F800001FC0FC00001FC0 FC00001FC0FE00001FC0FE00001F80FF00003F80FF80003F00FFE000FF00FFF803FE00FF FFFFFC00FFFFFFF000F87FFFC000E00FFE0000222B7DA929>I<0007C0000007C0000007 C0000007C0000007C000000FC000000FC000000FC000000FC000001FC000001FC000001F C000003FC000007FC000007FC00000FFC00001FFC00007FFC0001FFFFFFEFFFFFFFEFFFF FFFEFFFFFFFEFFFFFFFE01FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FF C00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FF C00001FFC00001FFC00001FFC00001FFC01F01FFC01F01FFC01F01FFC01F01FFC01F01FF C01F01FFC01F01FFC01F01FFC01F00FFE03E00FFE03E007FE07E007FF8FC003FFFF8001F FFF00007FFE00000FF80203B7EB929>I<00FF80000FF800FFFF800FFFF800FFFF800FFF F800FFFF800FFFF800FFFF800FFFF800FFFF800FFFF80007FF80007FF80003FF80003FF8 0003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF800 03FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003 FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF 80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80 003FF80003FF80003FF80003FF80007FF80003FF80007FF80003FF80007FF80003FF8000 FFF80001FF8001FFF80001FF8003FFFC0000FFC007DFFFE000FFF01F9FFFE0007FFFFF1F FFE0003FFFFE1FFFE0000FFFF81FFFE00001FFE01FE000332A7CA83A>I123 D E /Fw 1 3 df<7000000000000380F8000000000007C0FC00000000000FC0FE000000 00001FC07F00000000003F803F80000000007F001FC000000000FE000FE000000001FC00 07F000000003F80003F800000007F00001FC0000000FE00000FE0000001FC000007F0000 003F8000003F8000007F0000001FC00000FE0000000FE00001FC00000007F00003F80000 0003F80007F000000001FC000FE000000000FE001FC0000000007F003F80000000003F80 7F00000000001FC0FE00000000000FE1FC000000000007F3F8000000000003FFF0000000 000001FFE0000000000000FFC00000000000007F800000000000003F000000000000007F 80000000000000FFC0000000000001FFE0000000000003FFF0000000000007F3F8000000 00000FE1FC00000000001FC0FE00000000003F807F00000000007F003F8000000000FE00 1FC000000001FC000FE000000003F80007F000000007F00003F80000000FE00001FC0000 001FC00000FE0000003F8000007F0000007F0000003F800000FE0000001FC00001FC0000 000FE00003F800000007F00007F000000003F8000FE000000001FC001FC000000000FE00 3F80000000007F007F00000000003F80FE00000000001FC0FC00000000000FC0F8000000 000007C070000000000003803A3B6FBA5D>2 D E /Fx 2 85 df<000000000003FF8000 00E000000000003FFFF80000E00000000003FFFFFE0001C0000000000FFFFFFF8003C000 0000007FFF003FC007C000000001FFF00007E00FC000000003FF800001F01F800000000F FE000000783F800000003FF80000003C3F800000007FE00000001E7F80000001FF800000 001EFF00000003FF000000000FFF00000007FE0000000007FF0000001FF80000000007FF 0000003FF00000000003FE0000007FE00000000003FE000000FFC00000000001FE000001 FF800000000001FE000003FF000000000001FC000007FF000000000001FC000007FE0000 00000000FC00000FFC000000000000FC00001FF8000000000000F800003FF80000000000 00F800003FF0000000000000F800007FE0000000000000F80000FFE0000000000000F000 00FFC0000000000000F00001FFC0000000000000F00003FF80000000000000F00003FF80 000000000000E00007FF00000000000000E00007FF00000000000000E0000FFE00000000 000000E0000FFE0000000000000000000FFE0000000000000000001FFC00000000000000 00001FFC0000000000000000003FFC0000000000000000003FF80000000000000000003F F80000000000000000003FF80000000000000000007FF80000000000000000007FF00000 000000000000007FF00000000000000000007FF0000000000000000000FFF00000000000 00000000FFE0000000000000000000FFE0000000000000000000FFE00000000000000000 00FFE0000000000000000000FFE000000001FFFFFFFC00FFE000000003FFFFFFFC00FFC0 00000003FFFFFFFC00FFC000000003FFFFFFFC00FFC000000000003FFC0000FFC0000000 00001FF80000FFC000000000001FF80000FFC000000000001FF80000FFC000000000001F F00000FFC000000000001FF000007FE000000000003FF000007FE000000000003FE00000 7FE000000000003FE000007FE000000000003FE000003FE000000000007FE000003FF000 000000007FE000003FF000000000007FC000001FF000000000007FC000001FF800000000 00FFC000000FF80000000000FFC000000FFC0000000000FF80000007FE0000000001FF80 000003FE0000000001FF80000003FF0000000003FF80000001FF8000000007FF00000000 FFC00000000F7F000000007FF00000001E7F000000003FF80000007C7F000000000FFE00 0001F83E0000000007FF80000FE03E0000000001FFF800FFC01E0000000000FFFFFFFF00 1E00000000001FFFFFF8000C000000000007FFFFC000000000000000007FFC0000000000 0053567AD35C>71 D<00FFFFFFFFFFFFFFFFFF00FFFFFFFFFFFFFFFFFF01FFFFFFFFFFFF FFFFFF01FFFFFFFFFFFFFFFFFF01FFF00001FF80001FFE03FF000001FF000003FE03FC00 0003FF000000FE03F0000003FF0000007E07E0000003FE0000007E07C0000003FE000000 3E07C0000007FE0000003C0F80000007FE0000003C0F00000007FC0000003C0F00000007 FC0000003C1E0000000FFC0000003C1E0000000FFC0000003C1C0000000FF8000000383C 0000000FF8000000383C0000001FF800000038380000001FF800000038780000001FF000 000038700000001FF000000078700000003FF000000070F00000003FF000000070E00000 003FE000000070E00000003FE000000070E00000007FE000000070000000007FE0000000 00000000007FC000000000000000007FC00000000000000000FFC00000000000000000FF C00000000000000000FF800000000000000000FF800000000000000001FF800000000000 000001FF800000000000000001FF000000000000000001FF000000000000000003FF0000 00000000000003FF000000000000000003FE000000000000000003FE0000000000000000 07FE000000000000000007FE000000000000000007FC000000000000000007FC00000000 000000000FFC00000000000000000FFC00000000000000000FF800000000000000000FF8 00000000000000001FF800000000000000001FF800000000000000001FF0000000000000 00001FF000000000000000003FF000000000000000003FF000000000000000003FE00000 0000000000003FE000000000000000007FE000000000000000007FE00000000000000000 7FC000000000000000007FC00000000000000000FFC00000000000000000FFC000000000 00000000FF800000000000000000FF800000000000000001FF800000000000000001FF80 0000000000000001FF000000000000000001FF000000000000000003FF00000000000000 0003FF000000000000000003FE000000000000000003FE000000000000000007FE000000 00000000000FFE00000000000000003FFF80000000000007FFFFFFFFFC0000000007FFFF FFFFFC000000000FFFFFFFFFF8000000000FFFFFFFFFF80000000050517DD045>84 D E /Fy 18 115 df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z 37 122 df<00001FF80001FFFC0007FFF8001FF000003F800000FE000001FC00 0003F8000007F000000FF000001FE000001FE000003FC000003FC000007F8000007F8000 007FFFFFC0FFFFFFC0FFFFFF00FF000000FF000000FF000000FE000000FE000000FE0000 00FE000000FE000000FE000000FE0000007E0000007F0000003F0000003F0000001F8000 000F80007007C001F003E003E001F81F80007FFE00000FF0001E287CA625>15 D<000001C000000003C00000000380000000038000000003800000000380000000038000 000003BFF0000001FFF8000003E03800000FFFF800001E3FE000003800000000F0000000 01E000000003C000000007800000000F000000000E000000001E000000003C0000000078 000000007000000000F000000001E000000001E000000003C00000000780000000078000 00000F000000000F000000001F000000001E000000001E000000003C000000003C000000 003C000000007C00000000780000000078000000007800000000F800000000F800000000 F000000000F000000000F000000000F000000000F000000000F800000000F800000000F8 00000000F800000000FC00000000FC00000000FE000000007F000000007F800000003FC0 0000003FF80000001FFF0000000FFFC0000007FFF8000001FFFF0000007FFFC000001FFF E0000003FFF00000007FF80000000FF800000003F800000001FC00000000FC00000000FC 000000007C00000000780000000078000000007800000000F000001C00F000000E01E000 000783C0000003FF000000007C000025527CBE28>I<01F0000FE00003FC007FFC00071F 01F03E000E0F03801F001E0F8F000F801C0F9E000F803C0FFC000FC0380FF8000FC0380F F0000FC0781FE0000FC0701FE0000FC0701FC0000FC0701FC0000FC0F01F80001FC0F03F 80001F80003F00001F80003F00001F80003F00003F80007F00003F80007E00003F00007E 00003F00007E00007F0000FE00007F0000FC00007E0000FC00007E0000FC0000FE0001FC 0000FE0001F80000FC0001F80000FC0001F80001FC0003F80001FC0003F00001F80003F0 0001F80003F00003F80007F00003F80007E00003F00007E00003F00007E00007F0000FE0 0007F0000FC00007E00003800007E0000000000FE0000000000FE0000000000FC0000000 000FC0000000001FC0000000001FC0000000001F80000000001F80000000003F80000000 003F80000000003F00000000003F00000000007F00000000007F00000000007E00000000 007E00000000007E00000000007C00000000003800002A3C7EA72D>I<000001C0000000 03C00000000380000000038000000003800000000380000000038000000003FFF0000007 FFF800003FE0380000FFFFF80001FC3FE00007F80000000FF00000001FE00000003FC000 00007FC00000007F80000000FF80000000FF00000000FF00000001FF00000001FE000000 01FE00000001FE00000001FE00000001FE00000001FE00000000FE00000000FF00000000 7F000000003F9FFC00001FFFFE000007E00E00000FFFFE00003E3FF800007800000000F0 00000001E000000003C000000007800000000F000000000F000000001E000000003C0000 00003C00000000780000000078000000007800000000F800000000F000000000F0000000 00F000000000F800000000F800000000FC00000000FE00000000FF000000007F80000000 7FE00000003FF80000001FFF0000000FFFC0000007FFF8000001FFFE0000007FFFC00000 0FFFF0000003FFF80000007FFC0000001FFE00000003FE00000000FE000000007E000000 003E000000003E000000003E000000003C00000C007C00000F0078000003C0F0000000FF C00000003F000025527EBE28>24 D<000000007800000000007800000000007000000000 00700000000000F00000000000F00000000000E00000000000E00000000001E000000000 01E00000000001C00000000001C00000000003C00000000003C000000000038000000000 0380000000000780000000000780000000000700000000000700000000000F0000000000 0F00000000000E0000000000FFC00000000FFFFC0000003F9E3F000001F81C0FC00003E0 1C03E0000FC03C01F0001F003C00F8007E0038007C00FC0038007C01F80078003E03F000 78003E07E00070003F0FE00070003F0FC000F0001F1F8000F0001F1F8000E0001F3F0000 E0001F3F0001E0003F7F0001E0003F7E0001C0003F7E0001C0003F7E0003C0007FFE0003 C0007EFC000380007EFC00038000FEFC00078000FCFC00078001FC7C00070001F87C0007 0003F07E000F0007E07E000F0007E03E000E000FC03F000E001F801F001E003F000F801E 007C0007C01C01F80003E01C03E00001F03C1F8000007E3CFE0000001FFFF800000001FF 8000000000780000000000780000000000700000000000700000000000F00000000000F0 0000000000E00000000000E00000000001E00000000001E00000000001C00000000001C0 0000000003C00000000003C0000000000380000000000380000000000780000000000780 00000030527CBE36>30 D<000000000000E0003000000003F8007000000007FC00F00000 0007FC01E000000007FC01C000000007FC03C000000007FC038000000003FC0780000000 01FC0F0000000000FC0F00000000007C0E00000000007C1E00000000007C1C0000000000 3C3C00001C0000383800007E0000383800007E0000387800007E000078780000FE000070 700000FC000070700000FC000070700000FC0000F0700001F80000E0F00001F80001E0F0 0001F80001E0F00001F00003C0F00001F00003C0F00001E0000780F00003E0000F80F800 07E0001F00F80007E0003E00FC001FF0007E007C003FF000FC007E007FF803F8007F83FF FE1FF0003FFFFCFFFFF0003FFFF8FFFFC0001FFFF07FFF80000FFFC07FFF000007FF001F FC000001FC0007E0000036297FA739>33 D<00001FF0000001FFFC000007FFFF00001FFF FFC0007FC01FE000FC0007E001F00001E003C00000000780000000078000000007000000 000F000000000E000000000E000000000F000000000700000000078000000003CFFF0000 01FFFF800001FF3F000003DFFE00000780E000000E000000001C000000003C0000000078 000000007000000000F000000000E000000000E000000000E000000000E000000000E000 000000E000000600F000000E00F000001C0078000038007C0000F0003F8007E0001FFFFF C00007FFFF000001FFFC0000007FE00000232B7DA82A>I<1E007F807F80FFC0FFC0FFC0 FFC07F807F801E000A0A798919>58 D<1E007F80FF80FFC0FFC0FFE0FFE0FFE07FE01E60 006000600060006000E000C000C000C001C001800380030007000E001C00180038003000 0B1C798919>I<000000018000000003C000000007C000000007C000000007800000000F 800000000F800000000F000000001F000000001F000000001E000000003E000000003E00 0000003C000000007C000000007C000000007800000000F800000000F800000000F00000 0001F000000001F000000001E000000003E000000003E000000003C000000007C0000000 07C000000007800000000F800000000F800000001F000000001F000000001E000000003E 000000003E000000003C000000007C000000007C000000007800000000F800000000F800 000000F000000001F000000001F000000001E000000003E000000003E000000003C00000 0007C000000007C000000007800000000F800000000F800000000F000000001F00000000 1F000000001E000000003E000000003E000000007C000000007C000000007800000000F8 00000000F800000000F000000001F000000001F000000001E000000003E000000003E000 000003C000000007C000000007C000000007800000000F800000000F800000000F000000 001F000000001F000000001E000000003E000000003E000000003C000000007C00000000 7C000000007800000000F800000000F800000000F0000000006000000000225B7BC32D> 61 D<000000FF0000000007FFE00000001F00F800000078003E000000F0001F000001E0 000F800003C00007C00007800003E00007000003E0000F800001F0000FE00001F8001FE0 0001F8001FE00000F8001FE00000FC001FE00000FC001FC00000FC0007000000FE000000 0000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE000000 0000FE000003FC00FE00003FFF00FE0000FE03C1FE0003F000E1FE0007E00071FE001F80 0031FE003F00003BFE007E00001BFC00FC00001BFC01FC00001FFC03F800000FFC07F000 000FF807F000000FF80FE000000FF81FE000000FF81FE000000FF03FC000000FF03FC000 001FF03FC000001FE07FC000001FE07F8000001FE07F8000003FC07F8000003FC0FF8000 003F80FF0000007F80FF0000007F00FF0000007F00FF000000FE00FF000000FE00FE0000 01FC00FE000001F8007E000003F8007F000007F0007F000007E0003F00000FC0001F8000 1F80001F80003F00000FC000FE000007E001FC000003F80FF0000001FFFFC00000007FFF 000000000FF80000002F437CC030>64 D<0001FFFFFFFFFFFF0001FFFFFFFFFFFF0001FF FFFFFFFFFF000001FF000007FF000001FF000000FF000001FE0000007F000001FE000000 3F000001FE0000001E000003FE0000001E000003FC0000001E000003FC0000001E000003 FC0000001E000007FC0000001E000007F80000001E000007F80000001C000007F8000000 1C00000FF80000001C00000FF00000001C00000FF00007001C00000FF0000F003C00001F F0000E003800001FE0000E000000001FE0000E000000001FE0001E000000003FE0001C00 0000003FC0003C000000003FC0007C000000003FC000FC000000007FC003F8000000007F FFFFF8000000007FFFFFF8000000007FFFFFF800000000FF8003F000000000FF0001F000 000000FF0000F000000000FF0000F000000001FF0000E000000001FE0000E000000001FE 0000E000000001FE0001E000000003FE0001C000000003FC0001C000000003FC0001C000 000003FC00000000000007FC00000000000007F800000000000007F800000000000007F8 0000000000000FF80000000000000FF00000000000000FF00000000000000FF000000000 00001FF00000000000001FE00000000000001FE00000000000003FE00000000000003FE0 0000000000003FC00000000000007FE00000000000FFFFFFF800000000FFFFFFF8000000 00FFFFFFF800000000403E7DBD3A>70 D<000000003FF0000E00000003FFFE000E000000 1FFFFF801C0000007FF00FC03C000001FF0001E07C000007FC0000F0FC00000FF0000079 F800003FC000003FF800007F8000001FF80000FF0000000FF80003FC0000000FF00007F8 0000000FF0000FF000000007F0001FE000000007F0003FE000000007E0003FC000000003 E0007F8000000003E000FF0000000003E001FF0000000003C001FE0000000003C003FE00 00000003C007FC0000000003C007FC0000000003800FF80000000003800FF80000000003 801FF00000000003801FF00000000000003FF00000000000003FE00000000000003FE000 00000000007FE00000000000007FC00000000000007FC00000000000007FC00000000000 00FFC0000000000000FF80000000000000FF80000000000000FF80000000000000FF8000 003FFFFFE0FF8000003FFFFFE0FF0000003FFFFFE0FF000000001FF800FF000000000FF8 00FF000000000FF000FF000000000FF000FF000000001FF000FF000000001FF000FF0000 00001FE000FF000000001FE0007F800000003FE0007F800000003FE0007F800000003FC0 003FC00000003FC0003FC00000007FC0001FC00000007FC0001FE00000007F80000FF000 0000FF800007F0000001FF800003F8000003FF800001FC000007BF000000FF00001F1F00 00007FC0007E0F0000001FF803F80F00000007FFFFE00600000001FFFF8000000000001F F8000000003F427BBF48>I<0001FFFFFFC03FFFFFF80001FFFFFFC03FFFFFF00001FFFF FF803FFFFFF0000001FF8000003FF000000001FF0000003FE000000001FE0000003FC000 000001FE0000003FC000000001FE0000007FC000000003FE0000007FC000000003FC0000 007F8000000003FC0000007F8000000003FC000000FF8000000007FC000000FF80000000 07F8000000FF0000000007F8000000FF0000000007F8000001FF000000000FF8000001FF 000000000FF0000001FE000000000FF0000001FE000000000FF0000003FE000000001FF0 000003FE000000001FE0000003FC000000001FE0000003FC000000001FE0000007FC0000 00003FE0000007FC000000003FC0000007F8000000003FC0000007F8000000003FC00000 0FF8000000007FFFFFFFFFF8000000007FFFFFFFFFF0000000007FFFFFFFFFF000000000 7F8000001FF000000000FF8000001FF000000000FF0000001FE000000000FF0000001FE0 00000000FF0000003FE000000001FF0000003FE000000001FE0000003FC000000001FE00 00003FC000000001FE0000007FC000000003FE0000007FC000000003FC0000007F800000 0003FC0000007F8000000003FC000000FF8000000007FC000000FF8000000007F8000000 FF0000000007F8000000FF0000000007F8000001FF000000000FF8000001FF000000000F F0000001FE000000000FF0000001FE000000000FF0000003FE000000001FF0000003FE00 0000001FE0000003FC000000001FE0000003FC000000003FE0000007FC000000003FE000 0007FC000000003FC0000007F8000000007FE000000FFC000000FFFFFFE01FFFFFFC0000 FFFFFFE01FFFFFFC0000FFFFFFE01FFFFFF800004D3E7DBD4C>I<0001FFFFFFF0000001 FFFFFFF0000001FFFFFFF000000001FF800000000001FF000000000001FE000000000001 FE000000000001FE000000000003FE000000000003FC000000000003FC000000000003FC 000000000007FC000000000007F8000000000007F8000000000007F800000000000FF800 000000000FF000000000000FF000000000000FF000000000001FF000000000001FE00000 0000001FE000000000001FE000000000003FE000000000003FC000000000003FC0000000 00003FC000000000007FC000000000007F8000000000007F8000000000007F8000000000 00FF800000000000FF000000000000FF000000000000FF000000000001FF000000000001 FE000000000001FE0000000C0001FE0000001E0003FE0000001C0003FC0000001C0003FC 0000003C0003FC000000380007FC000000380007F8000000780007F8000000700007F800 0000F0000FF8000000F0000FF0000001E0000FF0000001E0000FF0000003E0001FF00000 07C0001FE000000FC0001FE000001FC0003FE000003F80003FE00000FF80003FC00003FF 80007FC0001FFF00FFFFFFFFFFFF00FFFFFFFFFFFF00FFFFFFFFFFFE00373E7DBD3E>76 D<0001FFFF80000000003FFFF00001FFFF80000000007FFFE00001FFFF8000000000FFFF E0000001FF8000000000FFE000000001FFC000000001FFC000000001DFC000000003BF80 00000001DFC000000003BF8000000001DFC0000000077F8000000003DFC0000000077F80 000000039FC00000000E7F00000000039FC00000001C7F00000000038FE00000001CFF00 000000078FE000000038FF00000000070FE000000070FE00000000070FE000000070FE00 000000070FE0000000E1FE000000000F0FE0000001C1FE000000000E0FE0000001C1FC00 0000000E07F000000381FC000000000E07F000000383FC000000001E07F000000703FC00 0000001C07F000000E03F8000000001C07F000000E03F8000000001C07F000001C07F800 0000003C07F000003807F8000000003807F000003807F0000000003803F800007007F000 0000003803F80000E00FF0000000007803F80000E00FF0000000007003F80001C00FE000 0000007003F80001C00FE0000000007003F80003801FE000000000F003F80007001FE000 000000E001FC0007001FC000000000E001FC000E001FC000000000E001FC001C003FC000 000001E001FC001C003FC000000001C001FC0038003F8000000001C001FC0070003F8000 000001C001FC0070007F8000000003C000FE00E0007F80000000038000FE00E0007F0000 0000038000FE01C0007F00000000038000FE038000FF00000000078000FE038000FF0000 0000070000FE070000FE00000000070000FE0E0000FE000000000700007F0E0001FE0000 00000F00007F1C0001FE000000000E00007F380001FC000000000E00007F380001FC0000 00000E00007F700003FC000000001E00007F700003FC000000001C00007FE00003F80000 00001C00007FC00003F8000000003C00003FC00007F8000000007C00003F800007F80000 0000FE00003F000007F000000003FF00003F00000FF8000000FFFFFC003E001FFFFFF800 00FFFFFC003C001FFFFFF80000FFFFFC001C001FFFFFF000005C3E7DBD58>I<00000000 3FF0000000000003FFFF00000000001FC03FC0000000007E0007E000000001F80001F800 000007E00000FC0000000FC000007E0000003F0000003F0000007E0000001F800000FC00 00001FC00003F80000000FC00007F00000000FE0000FE00000000FE0001FC000000007F0 001FC000000007F0003F8000000007F8007F0000000007F800FF0000000007F801FE0000 000003F801FE0000000003F803FC0000000003FC03FC0000000003FC07F80000000003FC 0FF80000000007FC0FF00000000007FC1FF00000000007FC1FF00000000007FC1FE00000 000007FC3FE00000000007FC3FE00000000007F87FC0000000000FF87FC0000000000FF8 7FC0000000000FF87FC0000000000FF8FF80000000001FF0FF80000000001FF0FF800000 00001FF0FF80000000003FE0FF80000000003FE0FF80000000003FE0FF00000000007FC0 FF00000000007FC0FF0000000000FF80FF0000000000FF80FF0000000000FF00FF000000 0001FE00FF0000000003FE00FF0000000003FC00FF0000000007F8007F8000000007F800 7F800000000FF0007F800000001FE0003F800000001FC0003F800000003F80001FC00000 007F00001FC0000000FE00000FE0000001FC00000FE0000003F8000007F0000007E00000 03F800001FC0000001FC00003F80000000FE0000FE000000003F8003F8000000000FE01F E00000000003FFFF0000000000007FF0000000003E427BBF45>79 D<0001FFFFFFFFF000000001FFFFFFFFFF00000001FFFFFFFFFFC000000001FF00007FE0 00000001FF00000FF800000001FE000003FC00000001FE000001FC00000003FE000001FE 00000003FE000000FF00000003FC000000FF00000003FC000000FF00000007FC000000FF 00000007FC000000FF80000007F8000000FF80000007F8000000FF8000000FF8000000FF 8000000FF8000001FF0000000FF0000001FF0000000FF0000001FF0000001FF0000001FE 0000001FF0000003FE0000001FE0000003FC0000001FE0000007FC0000003FE0000007F8 0000003FE000000FF00000003FC000001FE00000003FC000003FC00000007FC000007F80 0000007FC00000FE000000007F800003FC000000007F80003FF000000000FFFFFFFFC000 000000FFFFFFFC0000000000FF0000000000000000FF0000000000000001FF0000000000 000001FF0000000000000001FE0000000000000001FE0000000000000003FE0000000000 000003FE0000000000000003FC0000000000000003FC0000000000000007FC0000000000 000007FC0000000000000007F80000000000000007F8000000000000000FF80000000000 00000FF8000000000000000FF0000000000000000FF0000000000000001FF00000000000 00001FF0000000000000001FE0000000000000001FE0000000000000003FE00000000000 00003FE0000000000000003FC0000000000000007FE0000000000000FFFFFFE000000000 00FFFFFFE00000000000FFFFFFE00000000000413E7DBD3A>I<0001FFFFFFFF80000000 01FFFFFFFFF800000001FFFFFFFFFF0000000001FF0001FF8000000001FF00003FE00000 0001FE00000FF000000001FE000007F800000001FE000003FC00000003FE000003FC0000 0003FC000001FE00000003FC000001FE00000003FC000001FE00000007FC000001FF0000 0007F8000001FF00000007F8000001FF00000007F8000001FF0000000FF8000003FE0000 000FF0000003FE0000000FF0000003FE0000000FF0000007FC0000001FF0000007FC0000 001FE000000FF80000001FE000000FF00000001FE000001FE00000003FE000003FC00000 003FC000007F800000003FC00000FE000000003FC00003FC000000007FC0000FF0000000 007F8000FF80000000007FFFFFFC00000000007FFFFFF80000000000FF8001FE00000000 00FF00007F8000000000FF00001FC000000000FF00001FE000000001FF00000FF0000000 01FE000007F000000001FE000007F000000001FE000007F800000003FE000007F8000000 03FC000007F800000003FC000007F800000003FC00000FF800000007FC00000FF8000000 07F800000FF800000007F800000FF000000007F800001FF00000000FF800001FF0000000 0FF000001FF00000000FF000001FF00000000FF000001FF00000001FF000003FF0010000 1FE000003FF00380001FE000003FE00380003FE000003FE00780003FE000003FE0070000 3FC000001FE00F00007FE000001FE00E00FFFFFFE0000FF01E00FFFFFFE00007F03C00FF FFFFE00003F87800000000000000FFE0000000000000003F800041407DBD45>82 D<00000007FC001C0000003FFF801C000000FFFFE038000003F803F07800000FE000F8F8 00001F80003DF800003F00001FF000007E00000FF00000FC00000FF00001F8000007F000 01F0000007E00003F0000007E00007E0000003E00007E0000003E0000FE0000003C0000F C0000003C0000FC0000003C0000FC0000003C0001FC000000380001FC000000380001FC0 00000380001FE000000380001FE000000000001FF000000000001FF800000000001FFE00 000000000FFFC0000000000FFFFC0000000007FFFFC000000007FFFFF800000003FFFFFE 00000001FFFFFF00000000FFFFFF800000003FFFFFC000000007FFFFE000000000FFFFE0 000000000FFFF00000000000FFF000000000003FF000000000001FF800000000000FF800 0000000007F8000000000007F8000000000003F8000700000003F8000F00000003F8000F 00000003F0000E00000003F0000E00000003F0001E00000007F0001E00000007E0001E00 000007E0001E0000000FC0003E0000000FC0003F0000001F80003F0000001F80003F8000 003F00007F8000007E00007FC00000FC00007FE00001F800007DF00003F00000F8FC000F E00000F83F803F800000F01FFFFE000000E007FFF8000000C0007FC000000036427BBF38 >I<01FFFFFFFFFFFFFC01FFFFFFFFFFFFFC03FFFFFFFFFFFFFC03FF0003FE000FFC03F8 0003FC0001FC07E00003FC0000F807C00007FC0000F807800007FC0000780F800007F800 00780F000007F80000781E00000FF80000781E00000FF80000781C00000FF00000703C00 000FF00000703800001FF00000703800001FF00000707800001FE00000707000001FE000 00707000003FE00000F0F000003FE00000E0E000003FC00000E00000003FC00000000000 007FC00000000000007FC00000000000007F800000000000007F80000000000000FF8000 0000000000FF80000000000000FF00000000000000FF00000000000001FF000000000000 01FF00000000000001FE00000000000001FE00000000000003FE00000000000003FE0000 0000000003FC00000000000003FC00000000000007FC00000000000007FC000000000000 07F800000000000007F80000000000000FF80000000000000FF80000000000000FF00000 000000000FF00000000000001FF00000000000001FF00000000000001FE0000000000000 1FE00000000000003FE00000000000003FE00000000000003FC00000000000003FC00000 000000007FC00000000000007FC0000000000000FFC0000000000001FFE0000000001FFF FFFFFC0000001FFFFFFFFC0000001FFFFFFFF80000003E3D7FBC35>I86 DI<00001F8000000000 FFE000000003F0707000000FC039F800001F801DF800003F000FF800007E000FF00000FC 000FF00001FC0007F00003F80007F00007F00007E00007F00007E0000FE00007E0001FE0 000FE0001FE0000FC0003FC0000FC0003FC0000FC0003FC0001FC0007FC0001F80007F80 001F80007F80001F80007F80003F8000FF80003F0000FF00003F0000FF00003F0000FF00 007F0000FF00007E0380FE00007E0380FE00007E0380FE0000FE0380FE0000FC07807E00 01FC07007E0003FC07007E0003FC0F003F0007FC0E003F000EFC0E001F801C7C1C000F80 787C1C0007C1F03E380001FFC01FF000007F0007C00029297DA730>97 D<0000000007F000000003FFF000000003FFE000000003FFE0000000000FE0000000000F E0000000000FC0000000000FC0000000001FC0000000001FC0000000001F80000000001F 80000000003F80000000003F80000000003F00000000003F00000000007F00000000007F 00000000007E00000000007E0000000000FE0000000000FE0000000000FC0000001F80FC 000000FFE1FC000003F071FC00000FC039F800001F801DF800003F000FF800007E000FF8 0000FC000FF00001FC0007F00003F80007F00007F00007F00007F00007E0000FE00007E0 001FE0000FE0001FE0000FE0003FC0000FC0003FC0000FC0003FC0001FC0007FC0001FC0 007F80001F80007F80001F80007F80003F8000FF80003F8000FF00003F0000FF00003F00 00FF00007F0000FF00007F0380FE00007E0380FE00007E0380FE0000FE0380FE0000FE07 807E0001FC07007E0003FC07007E0003FC0F003F0007FC0E003F000EFC0E001F801C7C1C 000F80787C1C0007C1F03E380001FFC01FF000007F0007C0002C407DBE2F>100 D<00001FE0000000FFFC000003F01E00000FC00F00003F800780007E0007C000FC0003C0 03F80003C007F80003C007F00007C00FE00007801FE00007801FC0000F803FC0001F003F C0003E007F8001FC007F801FF000FFFFFF8000FFFFF80000FF00000000FF00000000FF00 000000FF00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000 0000FE000000C0FE000001C07E000003C07E000007803F00000F003F00001E001F00003C 000F8000F80007C003E00003E03F800000FFFE0000003FE0000022297CA72A>I<000000 003E0000000000FFC000000003E1E000000007C0F00000000F81F00000000F87F0000000 1F8FF00000001F0FF00000003F0FF00000003F0FF00000003F0FE00000007E0380000000 7E00000000007E00000000007E00000000007E0000000000FC0000000000FC0000000000 FC0000000000FC0000000000FC0000000001FC0000000001F80000000001F80000000001 F800000003FFFFFC000003FFFFFC000003FFFFFC00000003F00000000003F00000000003 F00000000007F00000000007E00000000007E00000000007E00000000007E0000000000F E0000000000FC0000000000FC0000000000FC0000000000FC0000000000FC0000000001F C0000000001F80000000001F80000000001F80000000001F80000000003F80000000003F 00000000003F00000000003F00000000003F00000000007F00000000007E00000000007E 00000000007E00000000007E0000000000FE0000000000FC0000000000FC0000000000FC 0000000000FC0000000001FC0000000001F80000000001F80000000001F80000000001F8 0000000003F00000000003F00000000003F00000000003E00000001E07E00000007F07E0 0000007F07C0000000FF07C0000000FF0F80000000FF0F80000000FE0F00000000F81E00 000000703E000000007878000000001FF00000000007C0000000002C537CBF2D>I<0000 01F8000000000FFE000000003F0787000000FC03DF800001F801DF800003F000FF80000F E000FF80001FC0007F00001F80007F00003F80007F00007F00007F0000FF00007E0000FE 00007E0001FE0000FE0001FE0000FE0003FC0000FC0003FC0000FC0003FC0001FC0007FC 0001FC0007F80001F80007F80001F80007F80003F8000FF80003F8000FF00003F0000FF0 0003F0000FF00007F0000FF00007F0000FF00007E0000FE00007E00007E0000FE00007E0 000FE00007E0001FC00007F0003FC00003F0007FC00001F000FFC00001F801FF800000F8 03DF8000007E0F3F8000001FFC3F80000007F03F00000000003F00000000007F00000000 007F00000000007E00000000007E0000000000FE0000000000FE0000000000FC00001C00 01FC00007F0001F80000FF0003F80000FF0003F00000FF0007E00000FF000FC00000FE00 1F800000F8007E0000007E01FC0000001FFFE000000003FF00000000293B7FA72B>I<00 01FC00000000FFFC00000000FFF800000000FFF80000000003F80000000003F800000000 03F00000000003F00000000007F00000000007F00000000007E00000000007E000000000 0FE0000000000FE0000000000FC0000000000FC0000000001FC0000000001FC000000000 1F80000000001F80000000003F80000000003F80000000003F00000000003F00FE000000 7F07FFC000007F1F03E000007E3801F000007EF000F80000FFE000F80000FFC000FC0000 FF8000FC0000FF0000FC0001FE0000FC0001FE0000FC0001FC0000FC0001FC0000FC0003 F80001FC0003F80001F80003F00001F80003F00001F80007F00003F80007F00003F00007 E00003F00007E00007F0000FE00007F0000FE00007E0000FC0000FE0000FC0000FC0001F C0000FC0001FC0001FC0701F80001F80701F80001F80703F80003F80F03F80003F00E03F 00003F00E03F00003F01E07F00003E01C07F00003E03C07E00003E03807E00003E0700FE 00003E0F00FE00001F1E00FC00000FF80038000003E0002C407CBE34>I<0001FC000000 00FFFC00000000FFF800000000FFF80000000003F80000000003F80000000003F0000000 0003F00000000007F00000000007F00000000007E00000000007E0000000000FE0000000 000FE0000000000FC0000000000FC0000000001FC0000000001FC0000000001F80000000 001F80000000003F80000000003F80000000003F00000000003F0000FC00007F0003FE00 007F000F0780007E003C0F80007E00703F8000FE00E03F8000FE01C07F8000FC03807F80 00FC07007F8001FC0E007F0001FC1C001C0001F83800000001F87000000003F8E0000000 03F9C000000003F38000000003FF0000000007FF0000000007FFF000000007E3FE000000 07E07F8000000FE01FC000000FE00FE000000FC007E000000FC007F000001FC003F00000 1FC003F00E001F8003F00E001F8003F00E003F8003F01E003F8007F01C003F0007E01C00 3F0007E01C007F0007E038007F0007E038007E0003E078007E0003E07000FE0001E0E000 FE0001F1E000FC00007F80003800003E000029407CBE2F>107 D<01F0000FF00003F800 0007FC003FFE001FFF00000F1F00F01F007C0F80000E1F03C00F80E007C0001E0F87000F C3C003E0001C0F8E0007C78003E0003C0FDC0007EF0003F000380FF80007EE0003F00038 0FF00007FC0003F000781FF00007F80003F000701FE00007F80003F000701FC00007F000 03F000701FC00007F00003F000F01F80000FE00007F000F03F80000FE00007E000003F00 000FC00007E000003F00000FC00007E000003F00001FC0000FE000007F00001FC0000FC0 00007E00001F80000FC000007E00001F80001FC000007E00003F80001F800000FE00003F 80001F800000FC00003F00003F800000FC00003F00003F000000FC00007F00003F000001 FC00007F00007F01C001F800007E00007E01C001F800007E00007E01C001F80000FE0000 FE03C003F80000FE0000FC038003F00000FC0000FC038003F00000FC0000FC078003F000 01FC0000F8070007F00001FC0000F80F0007E00001F80000F80E0007E00001F80000F81C 0007E00003F80000F83C000FE00003F800007C78000FC00003F000003FE00003800000E0 00000F80004A297EA750>109 D<0007C000FE00000FF003FF80001C7C0F07E000383C1C 03F000783E7801F800703EF000F800F03FE000FC00E03FC000FC00E03F8000FE01E07F80 007E01C07F00007E01C07E00007E01C07E0000FF03C0FE0000FF03C0FE0000FF0000FC00 00FF0000FC0000FF0001FC0001FF0001FC0001FE0001F80001FE0001F80001FE0003F800 03FE0003F80003FC0003F00003FC0003F00003FC0007F00007F80007F00007F80007E000 07F00007E0000FF0000FE0000FE0000FE0001FE0000FE0001FC0000FE0003F80001FE000 3F00001FF0007E00001FF000FC00001FB801F800003FBC03E000003F9E0FC000003F07FF 0000003F01F80000007F00000000007F00000000007E00000000007E0000000000FE0000 000000FE0000000000FC0000000000FC0000000001FC0000000001FC0000000001F80000 000001F80000000003F80000000003F800000000FFFFE0000000FFFFE0000000FFFFE000 0000303A84A72E>112 D<000070000000FC000001FC000001FC000001F8000001F80000 03F8000003F8000003F0000003F0000007F0000007F0000007E0000007E000000FE00000 0FE000000FC000000FC0007FFFFFF0FFFFFFF0FFFFFFE0001F8000003F8000003F800000 3F0000003F0000007F0000007F0000007E0000007E000000FE000000FE000000FC000000 FC000001FC000001FC000001F8000001F8000003F8000003F8000003F0000003F0000007 F0000007F001C007E001C007E003C00FE003800FE003800FC007800FC007000FC00E000F C01E000FC03C0007C0380007C0700003E1E00001FF8000003E00001C3A7EB821>116 D<007E00007801FF0001FC03C7C001FE0703C003FE0F03E003FE0E03E003FE1C03E003FE 1C07E001FE3807E000FE3807E0007E780FE0003E700FC0003E700FC0001EF01FC0001EF0 1F80001C001F80001C003F80001C003F00003C003F000038007F000038007E000038007E 00007800FE00007000FC00007000FC0000F000FC0000E001FC0000E001F80001C001F800 01C001F800038001F800038001F800070001F800070000F8000E0000F8001C0000FC003C 00007C007800003E00F000001F03C0000007FF80000001FC000027297EA72C>118 D<007C00000000038001FF000007000FE003C7C0001F801FF00703C0001F801FF00F03E0 001F801FF00E03E0003F801FF01C03E0003F001FF01C07E0003F000FF03807E0003F0007 F03807E0007F0003F0780FE0007E0001F0700FC0007E0001F0700FC0007E0000F0F01FC0 00FE0000F0F01F8000FC0000E0001F8000FC0000E0003F8000FC0000E0003F0001FC0001 E0003F0001F80001C0007F0001F80001C0007E0001F80001C0007E0003F80003C000FE00 03F000038000FC0003F000038000FC0003F000038000FC0003F000070001FC0007F00007 0001F80007E0000F0001F80007E0000E0001F80007E0000E0001F80007E0001C0001F800 07E0001C0001F8000FE000380000F8000FE000380000FC001FE0007000007C003FF000E0 00007E0039F001C000003F0070F803C000001F81E07C0F00000007FFC01FFE00000000FF 0007F000003C297EA741>I<0001F8003F000007FE00FFE0001E0F83C0F0003807C780F8 007003CF03F800E003FE03F801C003FC07F803C003FC07F8038003F807F8070003F807F0 070003F801C00E0003F000000E0003F000001E0007F000001E0007F00000000007E00000 000007E0000000000FE0000000000FC0000000000FC0000000000FC0000000001FC00000 00001F80000000001F80000000001F80000000003F80000000003F0001C000003F0001C0 00003F0001C000007F0003C01E007F0003803F007E0007807F80FE0007007F80FE000F00 FF81FE001E00FF01DF001C00FE03DF0038007C078F80F0003C0F07C1E0001FFC03FF8000 07F0007E00002D297EA734>I<007C0000000001FF0000038003C7C0000FC00703C0000F C00F03E0000FC00E03E0001FC01C03E0001F801C07E0001F803807E0001F803807E0003F 80780FE0003F00700FC0003F00700FC0003F00F01FC0007F00F01F80007E00001F80007E 00003F80007E00003F0000FE00003F0000FC00007F0000FC00007E0000FC00007E0001FC 0000FE0001FC0000FC0001F80000FC0001F80000FC0003F80001FC0003F00001F80003F0 0001F80003F00001F80007F00001F80007E00001F80007E00001F8000FE00001F8001FE0 0000F8001FC00000FC003FC000007C007FC000007E00FFC000003F03DF8000000FFF1F80 000001FC1F80000000003F80000000003F00000000003F00000000007F00000380007E00 000FE000FE00001FE000FC00001FE001F800001FE001F800003FC003F000003FC007E000 001F000FC000001C001F8000001E003F0000000E007C0000000781F000000003FFC00000 0000FE000000002A3B7EA72D>I E /FA 34 124 df<0001F00007FC000FFE000FFE001F FF003FFF007FFF00FFFF00FFFF01FFFF03FFFE07FFFC07FFF80FFFE01FFF803FFE003FFC 007FF000FFC000FF80007E0000380000200000181764D343>19 D<000000780000000000 FC0000000003FC0000000007FC000000001FFC00000000FFFC0000000FFFFC000007FFFF FC0000FFFFFFFC0000FFFFFFFC0000FFFF7FFC0000FFF07FFC0000F8007FFC000000007F FC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007F FC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007F FC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007F FC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007F FC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007F FC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007F FC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007F FC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007F FC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC000000007F FC000000007FFC000000007FFC000000007FFC000000007FFC000000007FFC00007FFFFF FFFFFE7FFFFFFFFFFE7FFFFFFFFFFE7FFFFFFFFFFE7FFFFFFFFFFE2F4E76CD43>49 D<00003FFE0000000003FFFFE00000000FFFFFFC0000003FFFFFFF000000FFFFFFFFC000 01FFC07FFFE00003FE000FFFF80007F80003FFFC000FE00001FFFE001FC00000FFFF003F 8000007FFF003FF000007FFF807FF800003FFFC07FFC00003FFFC0FFFE00001FFFE0FFFF 00001FFFE0FFFF00001FFFE0FFFF00000FFFF0FFFF00000FFFF0FFFF00000FFFF0FFFF00 000FFFF0FFFF00000FFFF07FFE00000FFFF07FFE00000FFFF03FFC00000FFFF00FF00000 0FFFF003C000000FFFF0000000000FFFE0000000001FFFE0000000001FFFE0000000001F FFC0000000003FFFC0000000003FFF80000000003FFF80000000007FFF00000000007FFE 0000000000FFFC0000000001FFF80000000001FFF00000000003FFE00000000003FFC000 00000007FF80000000000FFF00000000001FFE00000000001FFC00000000003FF8000000 00007FE00000000000FFC00000000001FF800000000003FE000000000007FC0000000000 07F800000000000FF00001F000001FE00001F000003F800001F000007F000001F00000FE 000003E00001FC000003E00003F8000003E00007F0000003E0000FE0000003E0001F8000 0007E0003F00000007E0003E0000000FE0007FFFFFFFFFE000FFFFFFFFFFC001FFFFFFFF FFC003FFFFFFFFFFC007FFFFFFFFFFC00FFFFFFFFFFFC01FFFFFFFFFFFC03FFFFFFFFFFF C07FFFFFFFFFFFC0FFFFFFFFFFFFC0FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80 FFFFFFFFFFFF80344E79CD43>I<00000FFFC000000000FFFFFC00000007FFFFFF800000 1FFFFFFFE000003FF807FFF00000FF8001FFFC0001FE00007FFE0003F800003FFF0003F0 00003FFF8007FC00001FFF800FFF00001FFFC00FFF80001FFFC01FFFC0001FFFE01FFFC0 001FFFE01FFFC0001FFFE01FFFC0001FFFE01FFFE0001FFFE01FFFC0001FFFE01FFFC000 1FFFE01FFFC0001FFFE00FFFC0001FFFC007FF80001FFFC003FF00003FFFC001FC00003F FF80000000003FFF80000000007FFF00000000007FFE00000000007FFE0000000000FFFC 0000000001FFF80000000003FFF00000000007FFC0000000000FFF8000000000FFFE0000 0000FFFFF800000000FFFFE000000000FFFFFC00000000FFFFFF800000000007FFE00000 000001FFF800000000007FFE00000000003FFF00000000001FFF80000000000FFFC00000 00000FFFE00000000007FFF00000000007FFF00000000007FFF80000000007FFF8000000 0003FFFC0000000003FFFC0000000003FFFE0000000003FFFE03E0000003FFFE0FF80000 03FFFE1FFC000003FFFE3FFE000003FFFE7FFF000003FFFEFFFF800003FFFEFFFF800003 FFFEFFFF800003FFFEFFFF800003FFFCFFFF800003FFFCFFFF800007FFFCFFFF800007FF F8FFFF000007FFF87FFF000007FFF07FFE00000FFFF03FFC00000FFFE03FF000001FFFC0 1FE000003FFF800FF800007FFF0007FF0000FFFE0003FFF007FFFC0000FFFFFFFFF00000 7FFFFFFFE000001FFFFFFF80000003FFFFFC000000001FFF800000374F7ACD43>I<0000 0000007C00000000000000FE00000000000000FE00000000000001FE00000000000003FE 00000000000007FE0000000000000FFE0000000000000FFE0000000000001FFE00000000 00003FFE0000000000007FFE0000000000007FFE000000000000FFFE000000000001FFFE 000000000003FFFE000000000003FFFE000000000007FFFE00000000000FFFFE00000000 001FBFFE00000000003F3FFE00000000003E3FFE00000000007C3FFE0000000000FC3FFE 0000000001F83FFE0000000001F03FFE0000000003E03FFE0000000007E03FFE00000000 0FC03FFE000000000F803FFE000000001F003FFE000000003F003FFE000000007E003FFE 000000007C003FFE00000000F8003FFE00000001F8003FFE00000003F0003FFE00000007 E0003FFE00000007C0003FFE0000000F80003FFE0000001F80003FFE0000003F00003FFE 0000003E00003FFE0000007C00003FFE000000FC00003FFE000001F800003FFE000001F0 00003FFE000003E000003FFE000007E000003FFE00000FC000003FFE00001F8000003FFE 00001F0000003FFE00003E0000003FFE00007E0000003FFE0000FC0000003FFE0000FFFF FFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFFFFFFFFFFFFC0FFFFFFFFFFFF FFC0000000007FFE0000000000007FFE0000000000007FFE0000000000007FFE00000000 00007FFE0000000000007FFE0000000000007FFE0000000000007FFE0000000000007FFE 0000000000007FFE0000000000007FFE0000000000007FFE0000000000007FFE00000000 00007FFE0000000000007FFE000000000FFFFFFFFFC000000FFFFFFFFFC000000FFFFFFF FFC000000FFFFFFFFFC000000FFFFFFFFFC03A4F7CCE43>I<03800000000E0007E00000 007E0007FE000003FE0007FFF0007FFE0007FFFFFFFFFC0007FFFFFFFFF80007FFFFFFFF F00007FFFFFFFFE00007FFFFFFFFC00007FFFFFFFF800007FFFFFFFF000007FFFFFFFE00 0007FFFFFFFC000007FFFFFFF0000007FFFFFFC0000007FFFFFF00000007FFFFF8000000 07E1FF0000000007E0000000000007E0000000000007E0000000000007E0000000000007 E0000000000007E0000000000007E0000000000007E0000000000007E0000000000007E0 000000000007E0000000000007E00FFF00000007E07FFFF0000007E3FFFFFE000007E7FF FFFF800007FFF807FFC00007FFC001FFE00007FE0000FFF80007FC00007FFC0007F80000 3FFC0007F000003FFE0007E000001FFF0003C000001FFF80000000001FFF80000000001F FFC0000000000FFFC0000000000FFFE0000000000FFFE0000000000FFFE0000000000FFF E0000000000FFFF0000000000FFFF0000000000FFFF00FE000000FFFF01FF000000FFFF0 3FF800000FFFF07FFC00000FFFF0FFFE00000FFFF0FFFE00000FFFF0FFFE00000FFFF0FF FE00000FFFF0FFFE00000FFFE0FFFE00000FFFE0FFFE00000FFFE0FFFC00000FFFE07FF8 00001FFFC07FF000001FFFC07FE000001FFF803E0000003FFF803F0000003FFF001F8000 007FFE001FC000007FFC000FE00000FFF80007F80001FFF00003FE0007FFE00001FFC03F FFC00000FFFFFFFF8000003FFFFFFE0000001FFFFFF800000003FFFFC0000000007FF800 0000344F79CD43>I<00000000001F00000000000000000000003F800000000000000000 00007FC0000000000000000000007FC000000000000000000000FFE00000000000000000 0000FFE000000000000000000000FFE000000000000000000001FFF00000000000000000 0001FFF000000000000000000003FFF800000000000000000003FFF80000000000000000 0003FFF800000000000000000007FFFC00000000000000000007FFFC0000000000000000 0007FFFC0000000000000000000FFFFE0000000000000000000FFFFE0000000000000000 001FFFFF0000000000000000001FFFFF0000000000000000001FFFFF0000000000000000 003FFFFF8000000000000000003F7FFF8000000000000000007F7FFFC000000000000000 007E7FFFC000000000000000007E3FFFC00000000000000000FE3FFFE000000000000000 00FC1FFFE00000000000000001FC1FFFF00000000000000001F81FFFF000000000000000 01F80FFFF00000000000000003F80FFFF80000000000000003F007FFF800000000000000 07F007FFFC0000000000000007E007FFFC0000000000000007E003FFFC00000000000000 0FE003FFFE000000000000000FC001FFFE000000000000001FC001FFFF00000000000000 1F8001FFFF000000000000001F8000FFFF000000000000003F8000FFFF80000000000000 3F00007FFF800000000000007F00007FFFC00000000000007E00007FFFC0000000000000 7E00003FFFC0000000000000FE00003FFFE0000000000000FC00001FFFE0000000000001 FC00001FFFF0000000000001F800001FFFF0000000000001F800000FFFF0000000000003 F800000FFFF8000000000003F0000007FFF8000000000007F0000007FFFC000000000007 E0000007FFFC000000000007E0000003FFFC00000000000FFFFFFFFFFFFE00000000000F FFFFFFFFFFFE00000000001FFFFFFFFFFFFF00000000001FFFFFFFFFFFFF00000000001F FFFFFFFFFFFF00000000003F80000000FFFF80000000003F000000007FFF80000000007F 000000007FFFC0000000007F000000007FFFC0000000007E000000003FFFC000000000FE 000000003FFFE000000000FC000000001FFFE000000001FC000000001FFFF000000001FC 000000001FFFF000000001F8000000000FFFF000000003F8000000000FFFF800000003F0 0000000007FFF800000007F00000000007FFFC00000007F00000000007FFFC00000007E0 0000000003FFFC0000000FE00000000003FFFE0000000FC00000000003FFFE0000001FC0 0000000001FFFF000000FFFC0000000001FFFF0000FFFFFFF800000FFFFFFFFFE0FFFFFF F800000FFFFFFFFFE0FFFFFFF800000FFFFFFFFFE0FFFFFFF800000FFFFFFFFFE0FFFFFF F800000FFFFFFFFFE05B547BD366>65 DI<0000000001FFFC000001 C0000000007FFFFFC00003C000000007FFFFFFF80007C00000003FFFFFFFFE001FC00000 00FFFFFFFFFF803FC0000003FFFFE003FFC07FC000000FFFFC00003FF0FFC000003FFFE0 00000FF9FFC000007FFF80000003FFFFC00001FFFE00000000FFFFC00003FFF800000000 7FFFC00007FFF0000000003FFFC0000FFFE0000000001FFFC0001FFFC0000000000FFFC0 003FFF800000000007FFC0007FFF000000000003FFC000FFFE000000000001FFC000FFFE 000000000001FFC001FFFC000000000000FFC003FFF8000000000000FFC003FFF8000000 0000007FC007FFF00000000000007FC00FFFF00000000000003FC00FFFF0000000000000 3FC01FFFE00000000000001FC01FFFE00000000000001FC01FFFE00000000000001FC03F FFC00000000000001FC03FFFC00000000000000FC03FFFC00000000000000FC07FFFC000 00000000000FC07FFFC00000000000000FC07FFFC000000000000000007FFF8000000000 000000007FFF800000000000000000FFFF800000000000000000FFFF8000000000000000 00FFFF800000000000000000FFFF800000000000000000FFFF800000000000000000FFFF 800000000000000000FFFF800000000000000000FFFF800000000000000000FFFF800000 000000000000FFFF800000000000000000FFFF800000000000000000FFFF800000000000 000000FFFF800000000000000000FFFF8000000000000000007FFF800000000000000000 7FFF8000000000000000007FFFC000000000000000007FFFC000000000000000007FFFC0 00000000000007C03FFFC000000000000007C03FFFC000000000000007C03FFFC0000000 00000007C01FFFE000000000000007C01FFFE000000000000007C01FFFE0000000000000 0FC00FFFF00000000000000F800FFFF00000000000000F8007FFF00000000000001F8003 FFF80000000000001F8003FFF80000000000001F0001FFFC0000000000003F0000FFFE00 00000000007E0000FFFE0000000000007E00007FFF000000000000FC00003FFF80000000 0001F800001FFFC00000000003F800000FFFE00000000007F0000007FFF0000000000FE0 000003FFFC000000001FC0000001FFFE000000007F800000007FFF80000000FF00000000 3FFFE0000007FE000000000FFFFE00001FF80000000003FFFFE001FFF00000000000FFFF FFFFFFC000000000003FFFFFFFFF00000000000007FFFFFFFC000000000000007FFFFFE0 0000000000000001FFFC00000000525479D261>I69 D73 D76 D78 D80 D82 D<00007FFF000000000007FFFFF0000000003FFF FFFE00000000FFFFFFFF80000001FFE00FFFC0000003FE0001FFF0000007FF0000FFF800 0007FF80003FFC00000FFF80003FFE00000FFFC0001FFE00000FFFC0001FFF00000FFFC0 000FFF80000FFFC0000FFF80000FFFC0000FFF800007FF800007FFC00007FF800007FFC0 0003FF000007FFC00001FE000007FFC0000000000007FFC0000000000007FFC000000000 0007FFC0000000000007FFC0000000000007FFC0000000000007FFC0000000007FFFFFC0 0000000FFFFFFFC0000000FFFFFFFFC0000007FFFF87FFC000003FFFF007FFC000007FFF 8007FFC00001FFFC0007FFC00003FFF00007FFC00007FFE00007FFC0000FFFC00007FFC0 001FFF800007FFC0003FFF000007FFC0007FFF000007FFC0007FFE000007FFC0007FFE00 0007FFC000FFFC000007FFC000FFFC000007FFC000FFFC000007FFC000FFFC000007FFC0 00FFFC00000FFFC000FFFC00000FFFC000FFFE00001FFFC0007FFE00001DFFC0007FFE00 003DFFC0003FFF000079FFE0001FFF8000F1FFF8000FFFC003E1FFFFE007FFF81FC0FFFF F003FFFFFF807FFFF000FFFFFF001FFFF0001FFFFC0007FFE00001FFE0000000003C387C B641>97 D<000001FFF8000000001FFFFF80000000FFFFFFF0000003FFFFFFFC00000FFF C00FFE00001FFE0001FF00007FFC0003FF8000FFF00007FF8001FFF00007FFC003FFE000 0FFFC003FFC0000FFFC007FFC0000FFFC00FFF80000FFFC00FFF80000FFFC01FFF800007 FF801FFF000007FF803FFF000003FF003FFF000001FE007FFF00000000007FFE00000000 007FFE00000000007FFE0000000000FFFE0000000000FFFE0000000000FFFE0000000000 FFFE0000000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE0000000000FF FE0000000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE00000000007FFE 00000000007FFF00000000007FFF00000000003FFF00000000003FFF00000000003FFF00 000003E01FFF80000003E01FFF80000007E00FFFC0000007C007FFC0000007C007FFE000 000FC003FFE000001F8001FFF000003F0000FFF800007E00007FFE0000FC00003FFF0003 F800000FFFE01FF0000003FFFFFFE0000000FFFFFF800000003FFFFE0000000001FFE000 0033387CB63C>99 D<000000000001FF80000000000007FFFF80000000000007FFFF8000 0000000007FFFF80000000000007FFFF80000000000007FFFF800000000000001FFF8000 000000000007FF8000000000000007FF8000000000000007FF8000000000000007FF8000 000000000007FF8000000000000007FF8000000000000007FF8000000000000007FF8000 000000000007FF8000000000000007FF8000000000000007FF8000000000000007FF8000 000000000007FF8000000000000007FF8000000000000007FF8000000000000007FF8000 000000000007FF8000000000000007FF8000000000000007FF8000000000000007FF8000 000000000007FF8000000000000007FF8000000001FFE007FF800000001FFFFC07FF8000 0000FFFFFF07FF80000003FFFFFFC7FF8000000FFFE03FE7FF8000001FFF0007F7FF8000 007FFC0001FFFF800000FFF80000FFFF800001FFF000003FFF800003FFE000001FFF8000 07FFC000001FFF800007FFC000000FFF80000FFF8000000FFF80001FFF8000000FFF8000 1FFF0000000FFF80003FFF0000000FFF80003FFF0000000FFF80003FFF0000000FFF8000 7FFE0000000FFF80007FFE0000000FFF80007FFE0000000FFF80007FFE0000000FFF8000 FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000 FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000 FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000FFFE0000000FFF8000 7FFE0000000FFF80007FFE0000000FFF80007FFE0000000FFF80003FFF0000000FFF8000 3FFF0000000FFF80003FFF0000000FFF80001FFF0000000FFF80001FFF0000000FFF8000 0FFF8000000FFF80000FFF8000001FFF800007FFC000003FFF800003FFC000003FFF8000 01FFE000007FFF800000FFF00001FFFF8000007FF80003FFFFE000003FFE000FEFFFFF80 000FFFC07FCFFFFF800007FFFFFF8FFFFF800001FFFFFE0FFFFF8000003FFFF80FFFFF80 000003FFC00FFE000041547CD24B>I<000003FFC0000000003FFFFC00000001FFFFFF00 000007FFFFFFC000000FFF81FFE000003FFC007FF800007FF8003FFC0000FFF0001FFE00 01FFE0000FFE0003FFC00007FF0007FFC00007FF800FFF800003FF800FFF800003FFC01F FF800001FFC01FFF000001FFC03FFF000001FFE03FFF000001FFE07FFF000000FFE07FFE 000000FFE07FFE000000FFF07FFE000000FFF0FFFE000000FFF0FFFE000000FFF0FFFE00 0000FFF0FFFE000000FFF0FFFFFFFFFFFFF0FFFFFFFFFFFFF0FFFFFFFFFFFFF0FFFFFFFF FFFFE0FFFE0000000000FFFE0000000000FFFE0000000000FFFE0000000000FFFE000000 0000FFFE00000000007FFE00000000007FFE00000000007FFF00000000003FFF00000000 003FFF00000000003FFF00000000E01FFF00000001F01FFF80000003F00FFF80000003F0 07FFC0000007E007FFC0000007E003FFE000000FC001FFF000001FC000FFF800003F8000 7FFC0000FF00001FFE0003FE00000FFFC03FF8000003FFFFFFF0000000FFFFFFC0000000 1FFFFE0000000001FFF0000034387CB63D>I<0000003FFC00000003FFFF0000000FFFFF C000003FFFFFE00000FFF81FF00001FFC03FF80003FF807FF80007FF00FFFC000FFE00FF FC001FFC00FFFC001FFC00FFFC003FF800FFFC003FF800FFFC003FF8007FF8007FF0007F F8007FF0003FF0007FF0000FC0007FF0000000007FF0000000007FF0000000007FF00000 00007FF0000000007FF0000000007FF0000000007FF0000000007FF0000000007FF00000 00007FF0000000007FF0000000007FF0000000007FF0000000FFFFFFFFE000FFFFFFFFE0 00FFFFFFFFE000FFFFFFFFE000FFFFFFFFE000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF8000000007FF8000000007FF80000 00007FF8000000007FF8000000007FF8000000007FF80000007FFFFFFE00007FFFFFFE00 007FFFFFFE00007FFFFFFE00007FFFFFFE00002E547CD329>I<00003FFF0000FF000003 FFFFF007FFC0000FFFFFFC1FFFE0003FFFFFFF7FFFE0007FFC0FFFFF9FF000FFE001FFF8 3FF001FFC000FFE03FF003FF80007FF01FF007FF00003FF81FE00FFF00003FFC0FC00FFF 00003FFC07801FFE00001FFE00001FFE00001FFE00003FFE00001FFF00003FFE00001FFF 00003FFE00001FFF00003FFE00001FFF00003FFE00001FFF00003FFE00001FFF00003FFE 00001FFF00003FFE00001FFF00003FFE00001FFF00001FFE00001FFE00001FFE00001FFE 00000FFF00003FFC00000FFF00003FFC000007FF00003FF8000003FF80007FF0000001FF C000FFE0000000FFE001FFC0000000FFFC0FFF80000001FFFFFFFF00000003EFFFFFFC00 000003C3FFFFF000000007C03FFF0000000007C000000000000007C00000000000000FC0 0000000000000FC00000000000000FC00000000000000FE00000000000000FE000000000 00000FF80000000000000FFE0000000000000FFFFFFFFF00000007FFFFFFFFF8000007FF FFFFFFFF000007FFFFFFFFFFC00003FFFFFFFFFFE00001FFFFFFFFFFF00000FFFFFFFFFF F800007FFFFFFFFFFC00007FFFFFFFFFFE0001FFFFFFFFFFFF0007FFFFFFFFFFFF000FFE 000003FFFF801FF80000003FFF803FF000000007FF807FE000000003FFC07FE000000001 FFC0FFC000000001FFC0FFC000000000FFC0FFC000000000FFC0FFC000000000FFC0FFC0 00000000FFC0FFC000000000FFC0FFE000000001FFC07FE000000001FF807FF000000003 FF803FF000000003FF001FF800000007FE000FFE0000001FFC0007FF8000007FF80003FF E00001FFF00001FFFE001FFFE000007FFFFFFFFF8000000FFFFFFFFC00000001FFFFFFE0 000000000FFFFC0000003C4F7CB543>I<003FF0000000000000FFFFF0000000000000FF FFF0000000000000FFFFF0000000000000FFFFF0000000000000FFFFF000000000000003 FFF000000000000000FFF000000000000000FFF000000000000000FFF000000000000000 FFF000000000000000FFF000000000000000FFF000000000000000FFF000000000000000 FFF000000000000000FFF000000000000000FFF000000000000000FFF000000000000000 FFF000000000000000FFF000000000000000FFF000000000000000FFF000000000000000 FFF000000000000000FFF000000000000000FFF000000000000000FFF000000000000000 FFF000000000000000FFF000000000000000FFF000000000000000FFF0001FFC00000000 FFF000FFFFC0000000FFF003FFFFF0000000FFF00FFFFFF8000000FFF01FE07FFC000000 FFF03F001FFE000000FFF07C001FFF000000FFF0F0000FFF000000FFF1E0000FFF800000 FFF3C0000FFF800000FFF7800007FF800000FFF7800007FFC00000FFFF000007FFC00000 FFFE000007FFC00000FFFE000007FFC00000FFFC000007FFC00000FFFC000007FFC00000 FFFC000007FFC00000FFFC000007FFC00000FFF8000007FFC00000FFF8000007FFC00000 FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000 FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000 FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000 FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000 FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000 FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000 FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC000FF FFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FF FFFFF807FFFFFFC042537BD24B>I<007F000000FF800003FFE00007FFF00007FFF0000F FFF8000FFFF8000FFFF8000FFFF8000FFFF8000FFFF8000FFFF80007FFF00007FFF00003 FFE00000FF8000007F000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000003FF000FFFFF000FF FFF000FFFFF000FFFFF000FFFFF00001FFF00000FFF00000FFF00000FFF00000FFF00000 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000 FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000 FFF00000FFF000FFFFFFE0FFFFFFE0FFFFFFE0FFFFFFE0FFFFFFE01B547BD325>I<003F F000FFFFF000FFFFF000FFFFF000FFFFF000FFFFF00001FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FFF00000FF F00000FFF00000FFF00000FFF00000FFF00000FFF000FFFFFFF0FFFFFFF0FFFFFFF0FFFF FFF0FFFFFFF01C537BD225>108 D<003FF0001FFC000000FFE00000FFFFF000FFFFC000 07FFFE0000FFFFF003FFFFF0001FFFFF8000FFFFF00FFFFFF8007FFFFFC000FFFFF01FE0 7FFC00FF03FFE000FFFFF03F001FFE01F800FFF00003FFF07C001FFF03E000FFF80000FF F0F0000FFF0780007FF80000FFF1E0000FFF8F00007FFC0000FFF3C0000FFF9E00007FFC 0000FFF7800007FFBC00003FFC0000FFF7800007FFFC00003FFE0000FFFF000007FFF800 003FFE0000FFFE000007FFF000003FFE0000FFFE000007FFF000003FFE0000FFFC000007 FFE000003FFE0000FFFC000007FFE000003FFE0000FFFC000007FFE000003FFE0000FFFC 000007FFE000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE00 00FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC00000 3FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FF C000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF800 0007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000 FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003F FE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC0 00003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF80000 07FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FF F8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE 0000FFF8000007FFC000003FFE0000FFF8000007FFC000003FFE0000FFF8000007FFC000 003FFE00FFFFFFF807FFFFFFC03FFFFFFEFFFFFFF807FFFFFFC03FFFFFFEFFFFFFF807FF FFFFC03FFFFFFEFFFFFFF807FFFFFFC03FFFFFFEFFFFFFF807FFFFFFC03FFFFFFE67367B B570>I<003FF0001FFC000000FFFFF000FFFFC00000FFFFF003FFFFF00000FFFFF00FFF FFF80000FFFFF01FE07FFC0000FFFFF03F001FFE000003FFF07C001FFF000000FFF0F000 0FFF000000FFF1E0000FFF800000FFF3C0000FFF800000FFF7800007FF800000FFF78000 07FFC00000FFFF000007FFC00000FFFE000007FFC00000FFFE000007FFC00000FFFC0000 07FFC00000FFFC000007FFC00000FFFC000007FFC00000FFFC000007FFC00000FFF80000 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000 07FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF80000 07FFC00000FFF8000007FFC000FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807 FFFFFFC0FFFFFFF807FFFFFFC0FFFFFFF807FFFFFFC042367BB54B>I<000001FFE00000 0000001FFFFE0000000000FFFFFFC000000003FFFFFFF00000000FFF807FFC0000001FFC 000FFE0000007FF80007FF800000FFF00003FFC00001FFE00001FFE00003FFC00000FFF0 0003FF8000007FF00007FF8000007FF8000FFF0000003FFC000FFF0000003FFC001FFF00 00003FFE001FFF0000003FFE003FFE0000001FFF003FFE0000001FFF003FFE0000001FFF 007FFE0000001FFF807FFE0000001FFF807FFE0000001FFF807FFE0000001FFF80FFFE00 00001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFF C0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE0000001FFFC0FFFE00 00001FFFC0FFFE0000001FFFC0FFFE0000001FFFC07FFE0000001FFF807FFE0000001FFF 807FFE0000001FFF803FFE0000001FFF003FFF0000003FFF003FFF0000003FFF001FFF00 00003FFE001FFF0000003FFE000FFF0000003FFC000FFF8000007FFC0007FF8000007FF8 0003FFC00000FFF00001FFE00001FFE00000FFF00003FFC000007FF80007FF8000003FFE 001FFF0000000FFF807FFC00000007FFFFFFF800000000FFFFFFC0000000003FFFFF0000 00000001FFE00000003A387CB643>I<000001FFE00007800000001FFFF8000F80000000 FFFFFE001F80000003FFFFFF801F8000000FFFF03FC03F8000001FFF800FE07F8000007F FE0003F07F800000FFFC0001F8FF800001FFF80000FDFF800003FFF000007FFF800003FF E000003FFF800007FFE000003FFF80000FFFC000001FFF80001FFFC000001FFF80001FFF 8000000FFF80003FFF8000000FFF80003FFF8000000FFF80003FFF00000007FF80007FFF 00000007FF80007FFF00000007FF80007FFF00000007FF80007FFE00000007FF8000FFFE 00000007FF8000FFFE00000007FF8000FFFE00000007FF8000FFFE00000007FF8000FFFE 00000007FF8000FFFE00000007FF8000FFFE00000007FF8000FFFE00000007FF8000FFFE 00000007FF8000FFFE00000007FF8000FFFE00000007FF8000FFFE00000007FF80007FFF 00000007FF80007FFF00000007FF80007FFF00000007FF80003FFF00000007FF80003FFF 00000007FF80003FFF80000007FF80001FFF8000000FFF80001FFF8000000FFF80000FFF C000001FFF80000FFFC000001FFF800007FFE000003FFF800003FFF000007FFF800001FF F00000FFFF800000FFF80001FFFF8000007FFC0003FFFF8000003FFF000FEFFF8000000F FFC07FCFFF80000007FFFFFF0FFF80000001FFFFFE0FFF800000003FFFF80FFF80000000 03FF800FFF800000000000000FFF800000000000000FFF800000000000000FFF80000000 0000000FFF800000000000000FFF800000000000000FFF800000000000000FFF80000000 0000000FFF800000000000000FFF800000000000000FFF800000000000000FFF80000000 0000000FFF800000000000000FFF800000000000000FFF800000000000000FFF80000000 0000000FFF800000000000000FFF8000000000000FFFFFFF80000000000FFFFFFF800000 00000FFFFFFF80000000000FFFFFFF80000000000FFFFFFF80414D7CB547>113 D<007FE003FE00FFFFE00FFF80FFFFE03FFFE0FFFFE07FFFF0FFFFE0FE1FF8FFFFE1F83F FC03FFE3E03FFE00FFE3C07FFE00FFE7807FFE00FFEF807FFE00FFEF007FFE00FFEE007F FE00FFFE003FFC00FFFC003FFC00FFFC001FF800FFFC000FF000FFF800000000FFF80000 0000FFF800000000FFF800000000FFF800000000FFF000000000FFF000000000FFF00000 0000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF00000 0000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF00000 0000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF00000 0000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF00000 0000FFF0000000FFFFFFFC0000FFFFFFFC0000FFFFFFFC0000FFFFFFFC0000FFFFFFFC00 002F367CB537>I<0003FFF00F00003FFFFE1F0000FFFFFFFF0003FFFFFFFF0007FF003F FF000FF80007FF001FE00001FF003FC00000FF003F8000007F007F8000007F007F000000 3F007F0000003F00FF0000001F00FF0000001F00FF8000001F00FF8000001F00FFC00000 1F00FFF000000000FFFC00000000FFFFC00000007FFFFF0000007FFFFFF800003FFFFFFF 00003FFFFFFFC0001FFFFFFFF0000FFFFFFFF80007FFFFFFFC0003FFFFFFFE0000FFFFFF FF00003FFFFFFF80000FFFFFFFC00000FFFFFFC0000007FFFFE00000003FFFE000000007 FFF000000001FFF0780000007FF0F80000003FF0F80000001FF0FC0000001FF0FC000000 0FF0FC0000000FF0FE0000000FF0FE0000000FE0FF0000000FE0FF8000001FE0FF800000 1FC0FFC000001FC0FFE000003F80FFF800007F00FFFE0001FE00FFFFC00FFC00FF7FFFFF F800FC1FFFFFE000F807FFFF8000F000FFF800002C387CB635>I<00003E00000000003E 00000000003E00000000003E00000000003E00000000003E00000000007E00000000007E 00000000007E00000000007E0000000000FE0000000000FE0000000001FE0000000001FE 0000000001FE0000000003FE0000000007FE0000000007FE000000000FFE000000001FFE 000000003FFE00000000FFFE00000001FFFE0000000FFFFFFFFF00FFFFFFFFFF00FFFFFF FFFF00FFFFFFFFFF00FFFFFFFFFF00003FFE000000003FFE000000003FFE000000003FFE 000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE 000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE 000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE 000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE000000003FFE 0007C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE 0007C0003FFE0007C0003FFE0007C0003FFE0007C0003FFE0007C0001FFE000F80001FFF 000F80001FFF000F80000FFF001F00000FFF801F000007FFC03E000003FFF0FC000001FF FFF80000007FFFF00000001FFFE000000003FF80002A4D7ECB34>I<003FF8000001FFC0 00FFFFF80007FFFFC000FFFFF80007FFFFC000FFFFF80007FFFFC000FFFFF80007FFFFC0 00FFFFF80007FFFFC00003FFF800001FFFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC00000FFF8000007FFC0 0000FFF8000007FFC00000FFF8000007FFC00000FFF800000FFFC00000FFF800000FFFC0 0000FFF800000FFFC00000FFF800001FFFC00000FFF800001FFFC000007FF800003FFFC0 00007FF800003BFFC000007FF800007BFFC000003FFC0000F3FFC000003FFC0001E3FFF0 00001FFE0007C3FFFFC0000FFFC03F83FFFFC00007FFFFFF03FFFFC00001FFFFFE03FFFF C000007FFFF803FFFFC0000007FFE003FF000042377BB54B>I 121 D123 D E /FB 20 118 df<7FFFFFF8FFFFFFFCFFFFFFFCFFFFFFFC FFFFFFFC7FFFFFF81E067C9927>45 D<1E007F807F80FFC0FFC0FFC0FFC07F807F801E00 0A0A728927>I<003FE00001FFF80003FFFE000FFFFF801FFFFFC03FE07FE03F800FE07F 0007F07E0003F8FE0001F8FC0001F8FE0001FCFE0000FCFE0000FCFE0000FC7C0000FC00 0000FC000000FC000001FC000001F8000001F8000003F8000003F0000007F000000FE000 001FC000003FC000007F800000FF000001FE000003FC000007F800000FF000001FE00000 3FC000007F800000FE000001FC000007F800780FF000FC1FE000FC3FC000FC7FFFFFFCFF FFFFFCFFFFFFFCFFFFFFFC7FFFFFF81E2F7CAE27>50 D<000FF000007FFE0001FFFF8003 FFFFC00FFFFFF00FF81FF01FE007F83F8001FC3F0000FC7F0000FE7E00007E7E00007E7E 00007E7E00007E7E00007E3F0000FC3F8001FC1FC003F80FE007F007FC3FE001FFFF8000 7FFE00003FFC0000FFFF0003FFFFC00FF00FF01FC003F83F8001FC3F0000FC7E00007E7E 00007EFC00003FFC00003FFC00003FFC00003FFC00003FFC00003F7E00007E7E00007E7F 0000FE3F8001FC1FE007F81FF81FF80FFFFFF007FFFFE001FFFF80007FFE00000FF00020 307DAE27>56 D<03FFC000000FFFF000001FFFFC00003FFFFF00003FFFFF80003F80FF80 003F801FC0001F000FC00004000FE000000007E000000007E000000FFFE000007FFFE000 03FFFFE0000FFFFFE0001FFFFFE0003FFC07E0007FC007E0007F0007E000FE0007E000FC 0007E000FC0007E000FC0007E000FC0007E000FE000FE0007F001FE0007FC0FFE0003FFF FFFF801FFFFFFFC00FFFFFFFC003FFF1FFC000FF807F8022207C9F27>97 D<7FE0000000FFF0000000FFF0000000FFF00000007FF000000003F000000003F0000000 03F000000003F000000003F000000003F000000003F000000003F000000003F000000003 F0FF000003F3FFC00003FFFFF00003FFFFF80003FFFFFC0003FF81FE0003FE00FF0003FC 003F8003F8001F8003F8001FC003F0000FC003F0000FC003F0000FE003F00007E003F000 07E003F00007E003F00007E003F00007E003F00007E003F0000FE003F0000FC003F8000F C003F8001FC003FC003F8003FC007F8003FE00FF0003FF83FE0003FFFFFC0003FFFFF800 03FFFFF00003F3FFC00001E0FE0000232E7FAD27>I<00003FF00000007FF80000007FF8 0000007FF80000003FF800000001F800000001F800000001F800000001F800000001F800 000001F800000001F800000001F800000001F800000FE1F800007FFDF80001FFFFF80003 FFFFF80007FFFFF8000FF83FF8001FE00FF8003FC007F8003F8003F8007F0003F8007E00 01F8007E0001F800FE0001F800FC0001F800FC0001F800FC0001F800FC0001F800FC0001 F800FC0001F800FE0001F8007E0003F8007E0003F8007F0003F8003F0007F8003F800FF8 001FE01FF8000FF03FF80007FFFFFFC003FFFFFFE001FFFDFFE0007FF9FFE0001FE0FFC0 232E7EAD27>100 D<000FF800003FFE0000FFFF8003FFFFC007FFFFE00FFC0FF01FE003 F81FC001F83F8001FC7F0000FC7E0000FC7E00007EFE00007EFFFFFFFEFFFFFFFEFFFFFF FEFFFFFFFEFFFFFFFCFC000000FE0000007E0000007F0000003F00003C3F80007E1FC000 7E1FF000FE0FFC07FC07FFFFFC01FFFFF800FFFFF0003FFFC00007FE001F207D9F27>I< 00001FF00000FFF80001FFFC0003FFFE0007FFFE000FF0FE000FC0FE001FC07C001F8000 001F8000001F8000001F8000001F8000001F80007FFFFFF0FFFFFFF8FFFFFFF8FFFFFFF8 7FFFFFF0001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000 001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000 001F8000001F8000001F8000001F8000001F80003FFFFFC07FFFFFE07FFFFFE07FFFFFE0 3FFFFFC01F2E7EAD27>I<7FE0000000FFF0000000FFF0000000FFF00000007FF0000000 03F000000003F000000003F000000003F000000003F000000003F000000003F000000003 F000000003F000000003F07F000003F1FFC00003F7FFF00003FFFFF00003FFFFF80003FF C1F80003FF01FC0003FE00FC0003FC00FC0003F800FC0003F800FC0003F000FC0003F000 FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC 0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC00 7FFF83FFE0FFFFC7FFF0FFFFC7FFF0FFFFC7FFF07FFF83FFE0242E7FAD27>104 D<000F0000001F8000003FC000003FC000003FC000003FC000001F8000000F0000000000 000000000000000000000000000000000000000000000000003FFF80007FFFC0007FFFC0 007FFFC0003FFFC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0 00000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC0 00000FC000000FC000000FC000000FC000000FC000000FC0007FFFFFF0FFFFFFF0FFFFFF F8FFFFFFF07FFFFFF01D2F7BAE27>I<7FE00000007FF0000000FFF00000007FF0000000 7FF000000001F000000001F000000001F000000001F000000001F000000001F000000001 F000000001F000000001F000000001F03FFFC001F07FFFE001F07FFFE001F07FFFE001F0 3FFFC001F003F80001F007F00001F00FE00001F01FC00001F03F800001F0FF000001F1FE 000001F3FC000001F7F8000001FFFC000001FFFE000001FFFF000001FF3F000001FE1F80 0001FC0FC00001F80FE00001F007E00001F003F00001F001F80001F001FC0001F000FE00 01F0007E007FFFC1FFF07FFFC3FFF8FFFFE3FFF87FFFC3FFF87FFFC3FFF0252E80AD27> 107 D<7FFF8000FFFFC000FFFFC000FFFFC0007FFFC000000FC000000FC000000FC00000 0FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC00000 0FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC00000 0FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC000000FC00000 0FC000000FC000000FC000000FC000000FC000000FC0007FFFFFF8FFFFFFFCFFFFFFFCFF FFFFFC7FFFFFF81E2E7CAD27>I<7F07C01F0000FF9FF07FC000FFFFF9FFE000FFFFFFFF F0007FFFFFFFF0000FFC7FF1F8000FF03FC0F8000FE03F80F8000FC03F00F8000FC03F00 F8000FC03F00F8000F803E00F8000F803E00F8000F803E00F8000F803E00F8000F803E00 F8000F803E00F8000F803E00F8000F803E00F8000F803E00F8000F803E00F8000F803E00 F8000F803E00F8000F803E00F8000F803E00F8000F803E00F8000F803E00F8007FF0FFC3 FF00FFF8FFE3FF80FFF9FFE7FF80FFF8FFE3FF807FF0FFC3FF002920819F27>I<7FE07F 0000FFF1FFC000FFF7FFF000FFFFFFF0007FFFFFF80003FFC1F80003FF01FC0003FE00FC 0003FC00FC0003F800FC0003F800FC0003F000FC0003F000FC0003F000FC0003F000FC00 03F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003 F000FC0003F000FC0003F000FC0003F000FC0003F000FC007FFF83FFE0FFFFC7FFF0FFFF C7FFF0FFFFC7FFF07FFF83FFE024207F9F27>I<001FE000007FF80001FFFE0003FFFF00 07FFFF800FF03FC01FC00FE03F8007F03F0003F07F0003F87E0001F87E0001F8FC0000FC FC0000FCFC0000FCFC0000FCFC0000FCFC0000FCFC0000FCFE0001FC7E0001F87E0001F8 7F0003F83F8007F03F8007F01FE01FE00FF03FC007FFFF8003FFFF0001FFFE00007FF800 001FE0001E207C9F27>I<7FFC03FC00FFFE0FFF00FFFE3FFF80FFFE7FFFC07FFEFFFFC0 007FFE1FC0007FF81FC0007FF00F80007FE00200007FC00000007F800000007F80000000 7F000000007F000000007E000000007E000000007E000000007E000000007E000000007E 000000007E000000007E000000007E000000007E000000007E000000007E000000007E00 00007FFFFF8000FFFFFFC000FFFFFFC000FFFFFFC0007FFFFF800022207E9F27>114 D<00FFF38007FFFFC01FFFFFC03FFFFFC07FFFFFC07F803FC0FC000FC0F8000FC0F8000F C0F8000780FC0000007F8000007FFC00003FFFF0001FFFFC0007FFFF0001FFFF80000FFF C000003FE0000007E0780003F0FC0001F0FC0001F0FE0001F0FE0003F0FF0007E0FFE01F E0FFFFFFC0FFFFFF80FFFFFF00FBFFFC00707FF0001C207B9F27>I<003C0000007E0000 007E0000007E0000007E0000007E0000007E0000007E0000007E00007FFFFFF0FFFFFFF8 FFFFFFF8FFFFFFF87FFFFFF0007E0000007E0000007E0000007E0000007E0000007E0000 007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E0018 007E007E007E007E007E007E007E007E007E00FE003F00FC003F83FC003FFFF8001FFFF0 000FFFE00003FFC00000FF001F297EA827>I<7FE01FF800FFF03FFC00FFF03FFC00FFF0 3FFC007FF01FFC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000 FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC 0003F000FC0003F000FC0003F000FC0003F000FC0003F000FC0003F001FC0003F001FC00 03F003FC0003FC0FFC0001FFFFFFE001FFFFFFF000FFFFFFF0003FFEFFF0000FF87FE024 207F9F27>I E /FC 37 124 df<00001FE0000000FFFC000003F01E00000FC00780001F 800780003F000FC0007E001FC000FC001FC000FC001FC001F8001FC001F8000F8001F800 000001F800000001F800000001F800000001F800000001F800000001F800000001F80000 0001F800000001F8000FC0FFFFFFFFC0FFFFFFFFC0FFFFFFFFC001F8001FC001F8000FC0 01F8000FC001F8000FC001F8000FC001F8000FC001F8000FC001F8000FC001F8000FC001 F8000FC001F8000FC001F8000FC001F8000FC001F8000FC001F8000FC001F8000FC001F8 000FC001F8000FC001F8000FC001F8000FC001F8000FC001F8000FC001F8000FC001F800 0FC001F8000FC003FC001FE07FFFC1FFFF7FFFC1FFFF7FFFC1FFFF28357FB42B>12 D<0000C00001C0000380000F00000E00001C00003C0000780000F00000F00001E00003C0 0003C00007C0000780000F80000F00001F00001F00001E00003E00003E00003E00003C00 007C00007C00007C00007C00007C0000F80000F80000F80000F80000F80000F80000F800 00F80000F80000F80000F80000F80000F80000F80000F80000F800007C00007C00007C00 007C00007C00003C00003E00003E00003E00001E00001F00001F00000F00000F80000780 0007C00003C00003C00001E00000F00000F000007800003C00001C00000E00000F000003 800001C00000C0124A79B71E>40 DI<3C007E00FF00FF00 FF80FF807F803D800180018001800180038003000300070006000E000C001C0038007000 600009177A8715>44 D<3C7EFFFFFFFF7E3C08087A8715>46 D<3C7EFFFFFFFF7E3C0000 00000000000000000000000000003C7EFFFFFFFF7E3C08207A9F15>58 D<7FFFFFFFFFFFC0FFFFFFFFFFFFE0FFFFFFFFFFFFE07FFFFFFFFFFFC000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 00000000007FFFFFFFFFFFC0FFFFFFFFFFFFE0FFFFFFFFFFFFE07FFFFFFFFFFFC033147C 9C3C>61 D<000007FC00000000007FFFC000000001F803F00000000780003C0000001E00 000F0000003800000380000070000001C00000E0000000E00001C0000000700003800000 003800070003F8001C000E001FFE000E000C007E078006001C00F801C007001801F000E0 03003803F0007003803007E0003F01803007C0003F8180700FC0001F81C0601F80001F80 C0601F80001F80C0E01F80001F80E0C03F80001F8060C03F00001F8060C03F00001F8060 C03F00001F8060C03F00001F8060C03F00001F8060C03F00001F8060C03F00001F8060C0 3F00001F8060C03F80001F8060E01F80001F8060601F80001F8060601F80001F8060700F C0001F80E03007C0003F80C03007E0003F80C03803F0007F80C01801F000FF81C01C00F8 01CFC1800C007E0787C3800E001FFE03FF00070003F800FC000380000000000001C00000 00000000E00000000000007000000003E000380000000FE0001E0000007F800007800003 FC000001F8007FE00000007FFFFE0000000007FF80000033367CB43C>64 D<000000E0000000000000E0000000000000E0000000000001F0000000000001F0000000 000003F8000000000003F8000000000003F8000000000007FC000000000007FC00000000 0007FC00000000000DFE00000000000CFE00000000000CFE0000000000187F0000000000 187F0000000000187F0000000000303F8000000000303F8000000000703FC00000000060 1FC000000000601FC000000000E01FE000000000C00FE000000000C00FE000000001800F F0000000018007F0000000018007F0000000030003F8000000030003F8000000030003F8 000000060001FC000000060001FC0000000E0001FE0000000FFFFFFE0000000FFFFFFE00 00001FFFFFFF0000001800007F0000001800007F0000003000007F8000003000003F8000 003000003F8000006000001FC000006000001FC000006000001FC00000C000000FE00000 C000000FE00001C000000FF00001C0000007F00003E0000007F0001FF000000FF800FFFE 0001FFFFE0FFFE0001FFFFE0FFFE0001FFFFE033367DB53A>II69 DI73 D76 D<007F80000003FFF000000F80FC00001C003E00003F003F00003F801F80003F800FC000 3F800FC0003F8007E0001F0007E000000007E000000007E000000007E000000007E00000 01FFE000001FFFE00000FF87E00003FC07E0000FF007E0001FC007E0003F8007E0007F80 07E0007F0007E000FF0007E0C0FE0007E0C0FE0007E0C0FE0007E0C0FE000FE0C0FE000F E0C0FF001FE0C07F003BE0C03F8071F1801FC1E1FF8007FFC0FF0000FE003C0022237DA1 26>97 D<03F0000000FFF0000000FFF0000000FFF000000007F000000003F000000003F0 00000003F000000003F000000003F000000003F000000003F000000003F000000003F000 000003F000000003F000000003F000000003F000000003F000000003F03F800003F0FFE0 0003F3C0F80003F7007E0003FE003F0003FC001F8003F8000FC003F0000FC003F00007E0 03F00007F003F00007F003F00003F003F00003F803F00003F803F00003F803F00003F803 F00003F803F00003F803F00003F803F00003F803F00003F803F00003F803F00003F003F0 0007F003F00007E003F00007E003F0000FC003F8000FC003FC001F8003EC003F0003CF00 7C00038381F8000301FFE00000007F000025357EB32B>I<0007F800003FFF0000FC07C0 01F000E003E003F007C007F00FC007F01F8007F03F8007F03F0003E07F0000007F000000 7E000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE0000007F0000007F0000003F0000183F8000181F8000381FC000300FC00070 07E000E003F001C000FC0F80003FFE000007F0001D237EA122>I<0000003F0000000FFF 0000000FFF0000000FFF000000007F000000003F000000003F000000003F000000003F00 0000003F000000003F000000003F000000003F000000003F000000003F000000003F0000 00003F000000003F000000003F000007F03F00003FFC3F0000FC0F3F0001F003BF0007E0 01FF000FC000FF001F80007F001F80003F003F00003F003F00003F007F00003F007E0000 3F00FE00003F00FE00003F00FE00003F00FE00003F00FE00003F00FE00003F00FE00003F 00FE00003F00FE00003F00FE00003F007E00003F007F00003F007F00003F003F00003F00 1F80007F001F80007F000FC000FF0007E001FF8003F007BFFC00F81E3FFC003FFC3FFC00 0FE03F0026357DB32B>I<000FE000007FFC0000F83F0003F00F8007E00FC00FC007E01F 8003E01F8003F03F0003F03F0001F07F0001F87E0001F87E0001F8FE0001F8FE0001F8FF FFFFF8FFFFFFF8FE000000FE000000FE000000FE000000FE0000007E0000007F0000007F 0000003F0000183F0000181F8000380F8000300FC0007007E000E001F003C000FC0F0000 3FFE000007F0001D237EA122>I<0001FC000007FF00001F0780003E0FC0007C1FC000FC 1FC001F81FC001F81FC003F8070003F0000003F0000003F0000003F0000003F0000003F0 000003F0000003F0000003F0000003F0000003F0000003F00000FFFFF000FFFFF000FFFF F00003F0000003F0000003F0000003F0000003F0000003F0000003F0000003F0000003F0 000003F0000003F0000003F0000003F0000003F0000003F0000003F0000003F0000003F0 000003F0000003F0000003F0000003F0000003F0000003F0000003F0000007F800007FFF E0007FFFE0007FFFE0001A357FB417>I<0000001F00001FC07F8000FFF8E3C001F07FC7 C007E03F03C00FC01F83800F800F80001F800FC0001F0007C0003F0007E0003F0007E000 3F0007E0003F0007E0003F0007E0003F0007E0001F0007C0001F800FC0000F800F80000F C01F800007E03F000007F07C00000EFFF800000C1FC000001C000000001C000000001C00 0000001E000000001E000000001F000000000FFFFE00000FFFFFC00007FFFFF00003FFFF FC0007FFFFFE001F0001FE003E00007F007C00003F007C00001F80F800000F80F800000F 80F800000F80F800000F80F800000F80FC00001F807C00001F003E00003E001F00007C00 0FC001F80003F007E00000FFFF8000001FFC000022337EA126>I<03F0000000FFF00000 00FFF0000000FFF000000007F000000003F000000003F000000003F000000003F0000000 03F000000003F000000003F000000003F000000003F000000003F000000003F000000003 F000000003F000000003F000000003F01FC00003F07FF00003F1E0FC0003F3807C0003F7 007E0003FE007E0003FC003F0003FC003F0003F8003F0003F8003F0003F0003F0003F000 3F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F 0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F00 03F0003F0003F0003F0003F0003F0007F8007F80FFFFC7FFFCFFFFC7FFFCFFFFC7FFFC26 347EB32B>I<07800FC01FE01FE01FE01FE00FC007800000000000000000000000000000 00000000000007E0FFE0FFE0FFE00FE007E007E007E007E007E007E007E007E007E007E0 07E007E007E007E007E007E007E007E007E007E007E007E007E007E00FF0FFFFFFFFFFFF 10337EB215>I<07E0FFE0FFE0FFE00FE007E007E007E007E007E007E007E007E007E007 E007E007E007E007E007E007E007E007E007E007E007E007E007E007E007E007E007E007 E007E007E007E007E007E007E007E007E007E007E007E007E007E007E007E00FF0FFFFFF FFFFFF10347EB315>108 D<03F01FE000FF0000FFF07FF803FFC000FFF1E07C0F03E000 FFF3803E1C01F00007F7003F3801F80003FE003F7001F80003FC001FE000FC0003FC001F E000FC0003F8001FC000FC0003F8001FC000FC0003F0001F8000FC0003F0001F8000FC00 03F0001F8000FC0003F0001F8000FC0003F0001F8000FC0003F0001F8000FC0003F0001F 8000FC0003F0001F8000FC0003F0001F8000FC0003F0001F8000FC0003F0001F8000FC00 03F0001F8000FC0003F0001F8000FC0003F0001F8000FC0003F0001F8000FC0003F0001F 8000FC0003F0001F8000FC0003F0001F8000FC0003F0001F8000FC0007F8003FC001FE00 FFFFC7FFFE3FFFF0FFFFC7FFFE3FFFF0FFFFC7FFFE3FFFF03C217EA041>I<03F01FC000 FFF07FF000FFF1E0FC00FFF3807C0007F7007E0003FE007E0003FC003F0003FC003F0003 F8003F0003F8003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0 003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F000 3F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0007F8007F 80FFFFC7FFFCFFFFC7FFFCFFFFC7FFFC26217EA02B>I<0007F00000003FFE000000FC1F 800001F007C00003C001E00007C001F0000F8000F8001F00007C001F00007C003F00007E 003E00003E007E00003F007E00003F007E00003F00FE00003F80FE00003F80FE00003F80 FE00003F80FE00003F80FE00003F80FE00003F80FE00003F807E00003F007E00003F007E 00003F003F00007E003F00007E001F00007C001F8000FC000FC001F80007C001F00003F0 07E00000FC1F8000003FFE00000007F0000021237EA126>I<03F03F8000FFF0FFE000FF F3C0F800FFF7007E0007FE003F0003FC001F8003F8001FC003F0000FC003F0000FE003F0 0007F003F00007F003F00007F003F00003F803F00003F803F00003F803F00003F803F000 03F803F00003F803F00003F803F00003F803F00003F803F00007F803F00007F003F00007 F003F00007E003F0000FE003F0000FC003F8001FC003FC003F8003FC003F0003FF00FC00 03F381F80003F1FFE00003F07F000003F000000003F000000003F000000003F000000003 F000000003F000000003F000000003F000000003F000000003F000000007F8000000FFFF C00000FFFFC00000FFFFC0000025307EA02B>I<0007F00300003FFC070000FC0F070001 F8038F0007E0018F000FE001DF001FC000FF001F80007F003F80007F003F00003F007F00 003F007F00003F00FF00003F00FE00003F00FE00003F00FE00003F00FE00003F00FE0000 3F00FE00003F00FE00003F00FE00003F00FE00003F007F00003F007F00003F007F00003F 003F80007F001F80007F001FC000FF000FC001FF0007E003BF0003F0073F0000F81E3F00 003FF83F00000FE03F000000003F000000003F000000003F000000003F000000003F0000 00003F000000003F000000003F000000003F000000003F000000007F8000000FFFFC0000 0FFFFC00000FFFFC26307DA029>I<03E07C00FFE1FF00FFE38F80FFE71FC007EE1FC003 EC1FC003EC1FC003FC0F8003F8000003F8000003F8000003F0000003F0000003F0000003 F0000003F0000003F0000003F0000003F0000003F0000003F0000003F0000003F0000003 F0000003F0000003F0000003F0000003F0000003F0000007F80000FFFFE000FFFFE000FF FFE0001A217FA01E>I<00FF060007FFCE001F00FE003C003E0078001E0078000E00F000 0E00F0000600F0000600F8000600F8000600FE000000FF8000007FFC00003FFFC0003FFF F0000FFFF80007FFFC0000FFFE00000FFF000000FF0000003F80C0001F80C0000F80E000 0780E0000780E0000780F0000780F0000700F8000F00FC000E00FE001C00F7807800E1FF E000C07F800019237EA11E>I<0030000030000030000030000030000070000070000070 0000F00000F00001F00001F00003F00007F0001FFFFEFFFFFEFFFFFE03F00003F00003F0 0003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F0 0003F00303F00303F00303F00303F00303F00303F00303F00303F00701F80601F80600FC 0E007E1C001FF80007E0182F7FAD1E>I<03F0003F00FFF00FFF00FFF00FFF00FFF00FFF 0007F0007F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F00 03F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003 F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0003F0007F0003F0 007F0003F0007F0003F000FF0001F000FF0001F801FF8000F803BFFC007E073FFC001FFE 3FFC0007F83F0026227EA02B>II120 D<7FFF807FF87FFF807FF87FFF807FF807F8001FC003F8000F8001F800070001F8000600 00FC000C0000FC000C0000FE001C00007E001800007E001800003F003000003F00300000 3F807000001F806000001FC0E000000FC0C000000FC0C0000007E180000007E180000007 F380000003F300000003FB00000001FE00000001FE00000000FC00000000FC00000000FC 00000000780000000078000000003000000000300000000060000000006000000000E000 000000C000000000C0000000018000007801800000FC03000000FC03000000FC06000000 FC0E000000701C00000078380000001FF00000000FC000000025307F9F29>I123 D E /FD 6 62 df<0000380000000038000000003800 000000380000000038000000003800000000380000000038000000003800000000380000 000038000000003800000000380000000038000000003800000000380000000038000000 00380000FFFFFFFFFEFFFFFFFFFEFFFFFFFFFE0000380000000038000000003800000000 380000000038000000003800000000380000000038000000003800000000380000000038 000000003800000000380000000038000000003800000000380000000038000000003800 0027277C9F2F>43 D<00FF0003FFC00781E00F00F01E00783C003C3C003C78001E78001E 78001E78001EF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001FF8001F F8001FF8001FF8001F78001E78001E7C003E3C003C3C003C1E00780F00F00781E003FFC0 00FF0018227DA01E>48 D<00E00001E00007E000FFE000F9E00001E00001E00001E00001 E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001E00001 E00001E00001E00001E00001E00001E00001E00001E00001E00001E00003F000FFFFC0FF FFC012217AA01E>I<01FC0007FF801C0FC03003E06001F06000F8F800F8FC00FCFC00FC FC007C78007C3000FC0000FC0000F80000F80001F00003E00003C0000780000F00001E00 00380000700000E00001C00C03800C0600180C00181800183FFFF87FFFF8FFFFF0FFFFF0 16217CA01E>I<00FF0003FFC00F03E01C00F01C00F83E00FC3E007C3E007C1E00FC0C00 FC0000F80000F80001F00003E0000FC001FF0001FF000003E00000F000007800007C0000 3E00003F30003F78003FFC003FFC003FFC003EF8007E60007C3800F81E03F00FFFC001FF 0018227DA01E>I61 D E /FE 6 115 df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df<00000003000000000003000000000003000000000007000000000007000000000006 00000000000600000000000E00000000000E00000000000C00000000000C00000000001C 00000000001C000000000018000000000018000000000038000000000038000000000030 0000000000300000000000700000000000700000000007FE000000003FFFC0000001FCE3 F0000007E0E0F800001F80C03E00003E00C01F00007C01C01F0001F801C00F8003F00180 0FC007E0018007C007E0038007C00FC0038007E01F80030007E01F80030007E03F000700 07E03F00070007E07E00060007E07E00060007E07E000E000FE0FE000E000FE0FC000C00 0FC0FC000C000FC0FC001C001F80FC001C001F80FC0018003F00FC0018003F00FC003800 7E007C003800FC007C003000FC007E003001F8003E007003F0001F007007C0001F00600F 80000F80603F000003E0E0FC000001F8E7F00000007FFF800000000FFC0000000001C000 00000001C000000000018000000000018000000000038000000000038000000000030000 0000000300000000000700000000000700000000000600000000000600000000000E0000 0000000E00000000000C00000000000C000000002B4B7CB931>30 D<00000000001E0000C00000003F0001C00000007F0001800000007F8003800000007F80 03000000007F8007000000003F800E000000001F800C000000000F801C000000000F8018 0000000007801800000000070038000000000700300000C0000700300001C00007007000 03C0000600600003C0000600600003C0000600600003C0000E00E0000780000C00C00007 80000C00C0000780001C00C0000700001800C0000700003800C0000700007800E0000E00 007000E0001F0000F000E0003F0001E000F0007F0003C000F000FF800FC000F801F7C01F 8000FE0FF7E0FF00007FFFE7FFFE00007FFFC7FFFC00003FFF83FFF800003FFF03FFF000 000FFC00FFC0000003F0003F00000031267FA434>33 D<1C007F00FF80FF80FFC0FFC0FF C07FC01CC000C000C000C000C001C00180018003800300070006000E001C003800700060 000A19798817>59 D<00000000FF8000E00000000FFFF000E00000007FFFFC01C0000001 FF803E03C0000007FC000F07C000000FE000038FC000003FC00001DF8000007F000000FF 800001FE000000FF800003F80000007F800007F00000003F00000FE00000003F00001FC0 0000003F00003F800000001F00007F800000001E0000FF000000001E0000FE000000001E 0001FE000000001E0003FC000000001C0003F8000000001C0007F8000000001C000FF000 0000001C000FF00000000018001FF00000000018001FE00000000000001FE00000000000 003FC00000000000003FC00000000000003FC00000000000007FC00000000000007F8000 00000000007F800000000000007F80000000000000FF80000000000000FF000000000000 00FF0000007FFFFE00FF000000FFFFFE00FF000000FFFFFE00FF000000007FC000FF0000 00003F8000FF000000007F8000FF000000007F0000FF000000007F00007F000000007F00 007F00000000FF00007F00000000FE00007F80000000FE00003F80000000FE00003F8000 0001FE00001FC0000001FE00001FC0000001FC00000FE0000003FC00000FF0000007FC00 0007F0000007FC000003FC00001EF8000001FE00003CF80000007F8000F0780000003FF0 07E0780000000FFFFF803000000003FFFE0000000000003FE0000000003B3D7DBA41>71 D<0003FFFFFF00000007FFFFFF00000007FFFFFE0000000007FC000000000007F8000000 000007F000000000000FF000000000000FF000000000000FE000000000000FE000000000 001FE000000000001FE000000000001FC000000000001FC000000000003FC00000000000 3FC000000000003F8000000000003F8000000000007F8000000000007F8000000000007F 0000000000007F000000000000FF000000000000FF000000000000FE000000000000FE00 0000000001FE000000000001FE000000000001FC000000000001FC000000000003FC0000 00000003FC000000000003F8000000000003F8000000000007F8000000000007F8000000 400007F0000000C00007F0000000C0000FF0000001C0000FF000000180000FE000000380 000FE000000380001FE000000300001FE000000700001FC000000600001FC000000E0000 3FC000001E00003FC000001C00003F8000003C00003F8000007C00007F800000F800007F 800003F800007F00000FF80000FF00007FF000FFFFFFFFFFF000FFFFFFFFFFF000FFFFFF FFFFE00032397DB839>76 D<0003FFF8000000003FFF800007FFF8000000007FFF800007 FFFC000000007FFF80000007FC00000000FF8000000006FC00000001BF0000000006FC00 000001BF000000000EFC000000037F000000000EFC000000037E000000000CFC00000006 7E000000000CFC0000000C7E000000001C7E0000000CFE000000001C7E00000018FC0000 0000187E00000030FC00000000187E00000030FC00000000387E00000061FC0000000038 7E00000061F800000000307E000000C1F800000000307E00000181F800000000703F0000 0183F800000000703F00000303F000000000603F00000603F000000000603F00000603F0 00000000E03F00000C07F000000000E03F00000C07E000000000C03F00001807E0000000 00C03F00003007E000000001C01F8000300FE000000001C01F8000600FC000000001801F 8000C00FC000000001801F8000C00FC000000003801F8001801FC000000003801F800300 1F8000000003001F8003001F8000000003000FC006001F8000000007000FC006003F8000 000007000FC00C003F0000000006000FC018003F0000000006000FC018003F000000000E 000FC030007F000000000E000FC060007E000000000C000FC060007E000000000C0007E0 C0007E000000001C0007E0C000FE000000001C0007E18000FC00000000180007E30000FC 00000000180007E30000FC00000000380007E60001FC00000000380007EC0001F8000000 00300007EC0001F800000000300003F80001F800000000700003F80003F8000000007000 03F00003F000000000F00003E00003F000000007FC0003E00007F8000000FFFFE003C007 FFFFF00000FFFFE0038007FFFFF00000FFFFE0018007FFFFF0000051397CB851>I<0003 FFFFFFFF00000007FFFFFFFFE0000007FFFFFFFFF800000007F80007FC00000007F00000 FE00000007F000007F0000000FF000003F8000000FF000001FC000000FE000001FC00000 0FE000001FC000001FE000001FE000001FE000001FE000001FC000001FE000001FC00000 1FE000003FC000001FE000003FC000003FC000003F8000003FC000003F8000003FC00000 7F8000007F8000007F8000007F8000007F0000007F0000007F000000FE000000FF000001 FC000000FF000001F8000000FE000007F0000000FE00000FE0000001FE00003FC0000001 FE0001FF00000001FFFFFFFC00000001FFFFFFE000000003FC00000000000003FC000000 00000003F800000000000003F800000000000007F800000000000007F800000000000007 F000000000000007F00000000000000FF00000000000000FF00000000000000FE0000000 0000000FE00000000000001FE00000000000001FE00000000000001FC00000000000001F C00000000000003FC00000000000003FC00000000000003F800000000000003F80000000 0000007F800000000000007F800000000000007F00000000000000FF800000000000FFFF FF0000000000FFFFFF0000000000FFFFFF00000000003B397DB835>80 D<0003FFFFFFF800000007FFFFFFFF80000007FFFFFFFFE000000007F8001FF800000007 F00003FC00000007F00000FE0000000FF000007F0000000FF000007F0000000FE000003F 8000000FE000003F8000001FE000003FC000001FE000003FC000001FC000003FC000001F C000003FC000003FC000003FC000003FC000007F8000003F8000007F8000003F8000007F 8000007F800000FF0000007F800000FE0000007F000001FC0000007F000003F8000000FF 000007F0000000FF00000FE0000000FE00001F80000000FE00007F00000001FE0007F800 000001FFFFFFE000000001FFFFFF0000000001FC000FC000000003FC0003F000000003FC 0001F800000003F80000FC00000003F80000FE00000007F80000FE00000007F800007E00 000007F000007E00000007F000007F0000000FF00000FF0000000FF00000FE0000000FE0 0000FE0000000FE00000FE0000001FE00001FE0000001FE00001FE0000001FC00001FE00 00001FC00001FE0000003FC00001FE0000003FC00003FE0000003F800003FC0060003F80 0003FC0060007F800003FC00E0007F800003FC00C0007F000003FC01C000FF800001FC01 80FFFFFF0001FC0380FFFFFF0000FE0700FFFFFF00007E0E0000000000001FFC00000000 000007F0003B3B7DB83F>82 D<7FFFFC01FFFFF800FFFF80FFFFFC01FFFFF800FFFF80FF FFFC01FFFFF000FFFF8003FF000007FC00000FF80003FC000007F8000003E00001FC0000 07F8000003C00001FC000003F8000003800001FC000003F8000003000001FC000003F800 0007000001FC000003F8000006000001FC000007F800000C000001FC000007F800000C00 0001FC00000FF8000018000001FC00000FF8000018000001FC00001BF8000030000001FC 00001BF8000060000001FC000033F8000060000001FE000073F80000C0000001FE000063 F80000C0000000FE0000C3F8000180000000FE0000C3FC000180000000FE000183FC0003 00000000FE000181FC000700000000FE000301FC000600000000FE000701FC000C000000 00FE000601FC000C00000000FE000C01FC001800000000FE000C01FC001800000000FE00 1801FC003000000000FE001801FC007000000000FE003001FC006000000000FE003001FC 00C000000000FE006001FC00C000000000FF00E001FC018000000000FF00C001FC018000 0000007F018001FC0300000000007F018001FE0300000000007F030001FE060000000000 7F030000FE0E00000000007F060000FE0C00000000007F0E0000FE1800000000007F0C00 00FE1800000000007F180000FE3000000000007F180000FE3000000000007F300000FE60 00000000007F300000FEE000000000007F600000FEC000000000007F600000FF80000000 00007FC00000FF8000000000007F800000FF0000000000007F800000FF0000000000003F 000000FE0000000000003F000000FE0000000000003E0000007C0000000000003E000000 780000000000003C000000780000000000003C0000007000000000000038000000700000 0000000030000000600000000000513B7CB84E>87 D<00007E00000003FF8000000FC1C3 80001F00EFC0007E007FC000FC003FC001F8003FC003F0001F8007F0001F8007E0001F80 0FE0003F801FC0003F001FC0003F003F80003F003F80007F007F80007E007F00007E007F 00007E007F0000FE00FF0000FC00FE0000FC00FE0000FC00FE0001FC00FE0001F800FC00 01F80CFC0001F80CFC0003F80CFC0003F01CFC0003F018FC0007F0187C0007F0387E000F F0303E001FF0303E007BF0701F00E1F0E00F83C0F9C003FF007F8000FC001F0026267DA4 2C>97 D<000000003F0000001FFF0000001FFF0000001FFF000000007F000000007E0000 00007E00000000FE00000000FE00000000FC00000000FC00000001FC00000001FC000000 01F800000001F800000003F800000003F800000003F000000003F000000007F000000007 F000007E07E00003FF87E0000FC1CFE0001F00EFE0007E007FC000FC003FC001F8003FC0 03F0001FC007F0001F8007E0001F800FE0003F801FC0003F801FC0003F003F80003F003F 80007F007F80007F007F00007E007F00007E007F0000FE00FF0000FE00FE0000FC00FE00 00FC00FE0001FC00FE0001FC00FC0001F80CFC0001F80CFC0003F80CFC0003F81CFC0003 F018FC0007F0187C0007F0387E000FF0303E001FF0303E007BF0701F00E1F0E00F83C0F9 C003FF007F8000FC001F00283B7DB92B>100 D<000007E00000001FF80000007C1C3800 01F80EFC0003F007FC0007E003FC000FC003FC001F8001FC003F0001F8007F0001F8007E 0003F800FE0003F800FE0003F001FC0003F001FC0007F003FC0007F003F80007E003F800 07E003F8000FE007F8000FE007F0000FC007F0000FC007F0001FC007F0001FC007E0001F 8007E0001F8007E0003F8007E0003F8007E0003F0003E0007F0003F000FF0001F001FF00 01F003FE0000F8077E00007C1EFE00001FF8FE000007E0FC00000000FC00000001FC0000 0001FC00000001F800000001F800000003F8001E0003F0003F0003F0007F8007F0007F80 07E000FF800FC000FF001F8000FE003F00007C007E00003C01F800001FFFE0000003FF00 000026367FA428>103 D<03E0007F0000FE000007F801FFE003FFC0000E3C0781F00F03 E0001C3E1E00F83C01F000383F3800FC7001F800303F7000FCE001F800303FE0007DC000 F800703FC0007F8000F800603F80007F0000F800603F80007F0000F800E03F0000FE0001 F800C07F0000FE0001F800C07E0000FC0001F800C07E0000FC0001F800007E0001FC0003 F80000FE0001FC0003F00000FC0001F80003F00000FC0001F80003F00000FC0003F80007 F00001FC0003F80007E00001F80003F00007E00001F80003F0000FE00001F80007F0000F C00003F80007F0000FC00003F00007E0001FC06003F00007E0001F806003F0000FE0003F 80E007F0000FE0003F00C007E0000FC0003F00C007E0000FC0003F01C007E0001FC0003E 01800FE0001FC0003E03800FC0001F80003E03000FC0001F80003E07000FC0003F80003E 0E001FC0003F80001E1C001F80003F00000FF8000700000E000003E00043267EA449> 109 D<000F8003F000001FE00FFC000039F03C1F000070F8700F8000E0FDE007C000C0FF 8007C000C0FF0007E001C0FE0003E00180FE0003F00180FC0003F00381FC0003F00301FC 0003F00301F80003F00301F80003F00003F80007F00003F80007F00003F00007F00003F0 0007F00007F0000FF00007F0000FF00007E0000FE00007E0000FE0000FE0001FE0000FE0 001FC0000FC0001FC0000FC0003F80001FC0003F80001FC0007F00001F80007E00001F80 00FE00003F8000FC00003FC001F800003FC003F000003FE007E000007F700F8000007F38 3F0000007E1FFC0000007E07E0000000FE0000000000FE0000000000FC0000000000FC00 00000001FC0000000001FC0000000001F80000000001F80000000003F80000000003F800 00000003F00000000007F000000000FFFFC0000000FFFFC0000000FFFFC00000002C3583 A42A>112 D<00F800000000F003FE0000E001F8070F0001F003F80E0F8003F003FC1C0F 8003F003FC180F8003F003FC380F8007F001FC300F8007E000FC701F8007E0007C601F80 07E0007C601F800FE0003CE03F800FE00038C03F000FC00038C07F000FC00038007E001F C00038007E001FC0003000FE001F80003000FC001F80003000FC003F80007001FC003F80 006001F8003F00006001F8003F00006001F8003F0000E003F8007F0000C003F0007E0000 C003F0007E0001C003F0007E00018003F0007E00038003F0007E00030003F0007E000700 03F000FE00060003F000FE000E0001F001FE001C0001F801BF00380000FC039F80700000 7E0F0FC0E000001FFC03FFC0000003F0007F000036267EA43B>119 D E /FG 56 124 df<000000E0000000000000E0000000000000E0000000000001F00000 00000001F0000000000001F0000000000003F8000000000003F8000000000003F8000000 000007FC000000000007FC000000000007FC00000000000FFE00000000000FFE00000000 000DFE00000000001DFF000000000019FF000000000018FF000000000018FF0000000000 30FF8000000000307F8000000000307F8000000000607FC000000000603FC00000000060 3FC000000000C03FE000000000C01FE000000000C01FE000000001801FF000000001800F F000000001800FF000000003000FF8000000030007F8000000030007F8000000060007FC 000000060003FC000000060003FC0000000E0003FE0000000C0003FE0000000C0001FE00 00001C0001FF000000180001FF000000180000FF000000180000FF000000300000FF8000 003000007F8000003000007F8000006000007FC000006000003FC000006000003FC00000 C000003FE00000C000001FE00000C000001FE00001C000001FF00003C000001FF00007E0 00001FF8001FF800003FFC00FFFF0007FFFFE0FFFF0007FFFFE0FFFF0007FFFFE0333C7D BB3A>3 D5 D<001FFFFFFE0000001FFFFFFE0000001FFFFFFE00 0000001FFE000000000007F8000000000007F8000000000007F8000000000007F8000000 000007F8000000000007F8000000000007F8000000000007F800000000003FFE00000000 03FFFFE00000001FF7FFFC0000007F07F87F000000FC07F81F800003F807F80FE00007F0 07F807F0000FE007F803F8001FE007F803FC003FC007F801FE003FC007F801FE007FC007 F801FF007F8007F800FF00FF8007F800FF80FF8007F800FF80FF8007F800FF80FF8007F8 00FF80FF8007F800FF80FF8007F800FF80FF8007F800FF807F8007F800FF007FC007F801 FF003FC007F801FE003FC007F801FE001FE007F803FC000FE007F803F80007F007F807F0 0003F807F80FE00000FC07F81F8000007F07F87F0000001FF7FFFC00000003FFFFE00000 00003FFE000000000007F8000000000007F8000000000007F8000000000007F800000000 0007F8000000000007F8000000000007F8000000000007F800000000001FFE000000001F FFFFFE0000001FFFFFFE0000001FFFFFFE000031397BB83C>8 D<00000FFE0000000000 7FFFC000000003FC07F80000000FE000FE0000003F80003F8000007F00001FC00000FE00 000FE00001FC000007F00003FC000007F80007F8000003FC000FF0000001FE000FF00000 01FE001FE0000000FF003FE0000000FF803FE0000000FF803FE0000000FF807FC0000000 7FC07FC00000007FC07FC00000007FC07FC00000007FC07FC00000007FC07FC00000007F C07FC00000007FC07FC00000007FC07FC00000007FC07FC00000007FC03FC00000007F80 3FE0000000FF803FE0000000FF801FE0000000FF001FE0000000FF001FE0000000FF000F F0000001FE000FF0000001FE0007F0000001FC0007F8000003FC0003F8000003F80001F8 000003F00001F8000003F00000FC000007E00000FC000007E000007C000007C000007C00 0007C000003E00000F8000001E00000F0000C01E00000F0060C00F00001E0060600F0000 1E00C0600700001C00C0600700001C00C0600700001C00C0700380003801C03803800038 03803FFF80003FFF803FFF80003FFF803FFF80003FFF803FFF80003FFF801FFF80003FFF 001FFF80003FFF00333B7CBA3C>10 D<00000FF8000000007FFE00000001F80780000007 E001C000001F8000E000003F0007E000007E000FF000007E000FF00000FC000FF00000FC 000FF00001F8000FF00001F80007E00001F80001800001F80000000001F80000000001F8 0000000001F80000000001F80000000001F80000000001F80000000001F80000000001F8 0000000001F80003F000FFFFFFFFF000FFFFFFFFF000FFFFFFFFF00001F8000FF00001F8 0003F00001F80003F00001F80003F00001F80003F00001F80003F00001F80003F00001F8 0003F00001F80003F00001F80003F00001F80003F00001F80003F00001F80003F00001F8 0003F00001F80003F00001F80003F00001F80003F00001F80003F00001F80003F00001F8 0003F00001F80003F00001F80003F00001F80003F00001F80003F00001F80003F00001F8 0003F00001F80003F00001F80003F00001F80003F00003FC0007F8007FFFE0FFFFC07FFF E0FFFFC07FFFE0FFFFC02A3B7FBA2E>12 D<003C007E007E00FE01FE03FC03F007E00FC0 1F801E003C007800F000C0000F0F6FB92A>19 D<0000600000E00001C000038000070000 0E00001E00003C0000780000780000F00001E00001E00003C00003C00007C0000780000F 80000F00000F00001F00001E00001E00003E00003E00003E00007C00007C00007C00007C 00007C00007C0000F80000F80000F80000F80000F80000F80000F80000F80000F80000F8 0000F80000F80000F80000F80000F80000F80000F80000F800007C00007C00007C00007C 00007C00007C00003E00003E00003E00001E00001E00001F00000F00000F00000F800007 800007C00003C00003C00001E00001E00000F000007800007800003C00001E00000E0000 07000003800001C00000E0000060135278BD20>40 DI<00000030000000000000780000 000000007800000000000078000000000000780000000000007800000000000078000000 000000780000000000007800000000000078000000000000780000000000007800000000 000078000000000000780000000000007800000000000078000000000000780000000000 007800000000000078000000000000780000000000007800000000000078000000000000 7800000000000078000000000000780000007FFFFFFFFFFFF8FFFFFFFFFFFFFCFFFFFFFF FFFFFC7FFFFFFFFFFFF80000007800000000000078000000000000780000000000007800 000000000078000000000000780000000000007800000000000078000000000000780000 000000007800000000000078000000000000780000000000007800000000000078000000 000000780000000000007800000000000078000000000000780000000000007800000000 000078000000000000780000000000007800000000000078000000000000780000000000 003000000036367BAF41>43 D<1C007F00FF80FF80FFC0FFC0FFC07FC01CC000C000C000 C000C001C00180018003800300070006000E001C003800700060000A19798817>I<1C00 7F00FF80FF80FF80FF80FF807F001C000909798817>46 D<1C007F00FF80FF80FF80FF80 FF807F001C00000000000000000000000000000000000000000000000000000000000000 0000000000001C007F00FF80FF80FF80FF80FF807F001C00092479A317>58 D<7FFFFFFFFFFFF8FFFFFFFFFFFFFCFFFFFFFFFFFFFC7FFFFFFFFFFFF800000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000007FFFFFFFFFFFF8FFFFFFFFFFFFFCFFFFFF FFFFFFFC7FFFFFFFFFFFF836167B9F41>61 D<0000003800000000000038000000000000 380000000000007C0000000000007C0000000000007C000000000000FE000000000000FE 000000000000FE000000000001FF000000000001FF000000000001FF0000000000037F80 00000000037F8000000000077FC000000000063FC000000000063FC0000000000E3FE000 0000000C1FE0000000000C1FE0000000001C1FF000000000180FF000000000180FF00000 0000380FF8000000003007F8000000003007F8000000007007FC000000006003FC000000 006003FC00000000C003FE00000000C001FE00000000C001FE000000018001FF00000001 8000FF000000018000FF000000030000FF8000000300007F8000000300007F8000000600 007FC0000007FFFFFFC0000007FFFFFFC000000FFFFFFFE000000C00001FE000000C0000 1FE000001800000FF000001800000FF000001800000FF0000030000007F8000030000007 F8000030000007F8000060000003FC000060000003FC0000E0000003FC0000E0000001FE 0001E0000001FE0003F0000001FF000FFC000007FF80FFFF8000FFFFFEFFFF8000FFFFFE FFFF8000FFFFFE373C7DBB3E>65 D<000001FF80018000000FFFE0038000007FFFF80380 0001FF807E07800003FC000F0F80000FF000039F80001FE00001DF80003F800000FF8000 7F0000007F8000FE0000003F8001FE0000003F8003FC0000001F8007F80000000F8007F8 0000000F800FF000000007800FF000000007801FE000000007801FE000000003803FE000 000003803FC000000003807FC000000001807FC000000001807FC000000001807F800000 000180FF800000000000FF800000000000FF800000000000FF800000000000FF80000000 0000FF800000000000FF800000000000FF800000000000FF800000000000FF8000000000 00FF800000000000FF800000000000FF8000000000007F8000000000007FC00000000180 7FC000000001807FC000000001803FC000000001803FE000000001801FE000000003801F E000000003000FF000000003000FF0000000070007F8000000070007F8000000060003FC 0000000E0001FE0000001C0000FE0000001800007F0000003800003F8000007000001FE0 0000E000000FF00003C0000003FC000F80000001FF803F000000007FFFFC000000000FFF F00000000001FF800000313D7BBA3C>67 DII<000000FF8000C000000FFFF001C000003FFFFC01C00000FF803F03C00003FC000787 C0000FF00003CFC0001FE00000EFC0003FC000007FC0007F8000003FC000FF0000001FC0 01FE0000001FC003FC0000000FC007F800000007C007F800000007C00FF000000003C00F F000000003C01FE000000003C01FE000000001C03FE000000001C03FC000000001C07FC0 00000000C07FC000000000C07FC000000000C07FC000000000C0FF800000000000FF8000 00000000FF800000000000FF800000000000FF800000000000FF800000000000FF800000 000000FF800000000000FF800000000000FF800000000000FF800000000000FF800000FF FFFFFF800000FFFFFF7FC00000FFFFFF7FC00000007FE07FC00000003FC07FC00000003F C03FC00000003FC03FE00000003FC01FE00000003FC01FE00000003FC00FF00000003FC0 0FF00000003FC007F80000003FC007F80000003FC003FC0000003FC001FE0000003FC000 FF0000007FC0007F8000007FC0003FC00000FFC0001FE00000EFC0000FF80003C7C00003 FE000783C00000FFC03F01C000003FFFFC00C000000FFFF00000000000FF800000383D7C BA41>71 DII76 DII<000003FF00000000001FFFE000000000FE01FC000000 01F8007E00000007E0001F8000000FC0000FC000003F800007F000007F000003F80000FE 000001FC0001FC000000FE0001F80000007E0003F80000007F0007F00000003F8007F000 00003F800FE00000001FC00FE00000001FC01FE00000001FE01FC00000000FE03FC00000 000FF03FC00000000FF03FC00000000FF07FC00000000FF87F8000000007F87F80000000 07F87F8000000007F8FF8000000007FCFF8000000007FCFF8000000007FCFF8000000007 FCFF8000000007FCFF8000000007FCFF8000000007FCFF8000000007FCFF8000000007FC FF8000000007FCFF8000000007FCFF8000000007FC7F8000000007F87FC00000000FF87F C00000000FF87FC00000000FF83FC00000000FF03FC00000000FF01FE00000001FE01FE0 0000001FE01FE00000001FE00FF00000003FC007F00000003F8007F80000007F8003F800 00007F0001FC000000FE0001FC000000FE0000FE000001FC00007F000003F800003F8000 07F000001FC0000FE0000007E0001F80000003F8007F00000000FE01FC000000001FFFE0 0000000003FF000000363D7BBA41>II82 D<000FF800C0003FFE01C000FFFF81C003F807E3 C007E000F7C00FC0007FC01F80003FC03F00001FC03E00000FC07E000007C07E000007C0 7C000003C0FC000003C0FC000001C0FC000001C0FC000001C0FE000000C0FE000000C0FE 000000C0FF000000C0FF800000007FC00000007FE00000007FF80000003FFF8000001FFF F800001FFFFF80000FFFFFE00007FFFFF80003FFFFFE0000FFFFFF00003FFFFF800007FF FFC000007FFFC0000007FFE00000007FE00000003FF00000001FF00000000FF000000007 F800000007F8C0000003F8C0000003F8C0000001F8C0000001F8C0000001F8E0000001F8 E0000001F8E0000001F0F0000001F0F0000003F0F8000003E0FC000007E0FE000007C0FF 00000FC0FF80001F80FBF0003F00F0FE00FE00E03FFFF800E00FFFE000C001FF0000253D 7CBA2E>I<3FFFFFFFFFFFE03FFFFFFFFFFFE03FFFFFFFFFFFE03FC003FF001FE03E0001 FE0003E07C0001FE0001F0780001FE0000F0700001FE000070700001FE000070700001FE 000070600001FE000030600001FE000030600001FE000030600001FE000030E00001FE00 0038C00001FE000018C00001FE000018C00001FE000018C00001FE000018000001FE0000 00000001FE000000000001FE000000000001FE000000000001FE000000000001FE000000 000001FE000000000001FE000000000001FE000000000001FE000000000001FE00000000 0001FE000000000001FE000000000001FE000000000001FE000000000001FE0000000000 01FE000000000001FE000000000001FE000000000001FE000000000001FE000000000001 FE000000000001FE000000000001FE000000000001FE000000000001FE000000000001FE 000000000001FE000000000001FE000000000001FE000000000001FE000000000001FE00 0000000001FE000000000001FE000000000007FF800000001FFFFFFFE000001FFFFFFFE0 00001FFFFFFFE00035397DB83C>II87 D<1E003F007F807F80FFC07F 807F803F001E000A097AB717>95 D<001FE0000000FFFC000003E03F000007000F80000F 8007E0001FC003F0001FE003F0001FE001F8001FE001F8001FE000FC000FC000FC000780 00FC00000000FC00000000FC00000000FC00000000FC0000007FFC000007FFFC00003FE0 FC0000FE00FC0003F800FC000FF000FC001FC000FC003FC000FC007F8000FC007F0000FC 007F0000FC0CFE0000FC0CFE0000FC0CFE0000FC0CFE0001FC0CFE0001FC0CFF0003FC0C 7F00077C0C7F80063E183FC01E3E180FE0781FF003FFF00FE0007F8007C026277DA52A> 97 D<03F0000000FFF0000000FFF0000000FFF00000000FF000000003F000000003F000 000003F000000003F000000003F000000003F000000003F000000003F000000003F00000 0003F000000003F000000003F000000003F000000003F000000003F000000003F0000000 03F01FE00003F07FF80003F1E03E0003F3801F8003F7000FC003FE0007E003FC0003F003 F80001F803F00001F803F00000FC03F00000FC03F00000FE03F00000FE03F000007E03F0 00007F03F000007F03F000007F03F000007F03F000007F03F000007F03F000007F03F000 007F03F000007F03F000007F03F000007E03F00000FE03F00000FE03F00000FC03F00001 FC03F80001F803F80003F003FC0003F003EE0007E003C6000FC003C7801F000381E07E00 0300FFF80000001FC000283B7EB92E>I<0003FC00001FFF80007E03E001F8007003F000 F807E001FC0FC003FC0FC003FC1F8003FC3F8003FC3F0001F87F0000F07F0000007F0000 007E000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE0000 00FE000000FE0000007E0000007F0000007F0000003F0000063F8000061F80000E1FC000 0C0FC0001C07E0003803F0007001F800E0007C07C0001FFF000007F8001F277DA525>I< 0000000FC0000003FFC0000003FFC0000003FFC00000003FC00000000FC00000000FC000 00000FC00000000FC00000000FC00000000FC00000000FC00000000FC00000000FC00000 000FC00000000FC00000000FC00000000FC00000000FC00000000FC00000000FC00003F8 0FC0001FFF0FC0007E078FC000F801EFC003F0007FC007E0003FC00FC0001FC00FC0001F C01F80000FC03F80000FC03F00000FC07F00000FC07F00000FC07E00000FC0FE00000FC0 FE00000FC0FE00000FC0FE00000FC0FE00000FC0FE00000FC0FE00000FC0FE00000FC0FE 00000FC0FE00000FC07E00000FC07F00000FC07F00000FC03F00000FC03F00000FC01F80 001FC01F80001FC00FC0003FC007E0007FC003F000EFF001F801CFFF007C078FFF001FFE 0FFF0007F80FC0283B7DB92E>I<0007F800001FFF00007C0FC001F803E003F001F007E0 01F80FC000F81F80007C1F80007C3F00007E3F00003E7F00003E7F00003F7E00003FFE00 003FFE00003FFE00003FFFFFFFFFFFFFFFFFFE000000FE000000FE000000FE000000FE00 00007E0000007E0000007F0000007F0000003F0000033F8000031F8000070FC0000607C0 000E07E0001C01F0003800F80070007E03E0001FFF800003FC0020277EA525>I<00007E 000003FF80000FC1E0001F87E0003F0FF0007E0FF0007E0FF000FC0FF000FC0FF001F803 C001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F800 0001F8000001F8000001F8000001F80000FFFFFC00FFFFFC00FFFFFC0001F8000001F800 0001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F800 0001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F800 0001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F800 0003FC00007FFFF8007FFFF8007FFFF8001C3B7FBA19>I<00000003F0000FF00FF8003F FC3C3C00F81F707C01F00FE07C03E007C07C07C003E0100FC003F0000FC003F0001F8001 F8001F8001F8001F8001F8001F8001F8001F8001F8001F8001F8001F8001F8001F8001F8 000FC003F0000FC003F00007C003E00003E007C00003F00F800003F81F0000073FFC0000 060FF000000E000000000E000000000E000000000E000000000F000000000F000000000F C000000007FFFFC00007FFFFF80003FFFFFE0001FFFFFF8003FFFFFFC00F80007FE01F00 000FF03E000003F07C000001F07C000001F8F8000000F8F8000000F8F8000000F8F80000 00F8F8000000F8FC000001F87C000001F03E000003E03F000007E00F80000F8007E0003F 0001FC01FC00007FFFF0000007FF000026387EA52A>I<03F000000000FFF000000000FF F000000000FFF0000000000FF00000000003F00000000003F00000000003F00000000003 F00000000003F00000000003F00000000003F00000000003F00000000003F00000000003 F00000000003F00000000003F00000000003F00000000003F00000000003F00000000003 F00000000003F00FF0000003F03FFC000003F0F03F000003F1C01F800003F3800FC00003 F7000FC00003FE000FC00003FC0007E00003FC0007E00003F80007E00003F80007E00003 F80007E00003F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003 F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003 F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003 F00007E00003F00007E00003F00007E00003F00007E00007F8000FF000FFFFC1FFFF80FF FFC1FFFF80FFFFC1FFFF80293A7EB92E>I<0380000FE0001FF0001FF0001FF0001FF000 1FF0000FE000038000000000000000000000000000000000000000000000000000000000 00000003F000FFF000FFF000FFF00007F00003F00003F00003F00003F00003F00003F000 03F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F000 03F00003F00003F00003F00003F00003F00003F00003F00003F00003F00007F800FFFFC0 FFFFC0FFFFC012387EB717>I<03F000FFF000FFF000FFF0000FF00003F00003F00003F0 0003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F0 0003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F0 0003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00003F0 0003F00003F00003F00003F00003F00003F00003F00003F00003F00003F00007F800FFFF C0FFFFC0FFFFC0123A7EB917>108 D<03F00FF0001FE000FFF03FFC007FF800FFF0F03F 01E07E00FFF1C01F83803F000FF3800FC7001F8003F7000FCE001F8003FE000FDC001F80 03FC0007F8000FC003FC0007F8000FC003F80007F0000FC003F80007F0000FC003F80007 F0000FC003F00007E0000FC003F00007E0000FC003F00007E0000FC003F00007E0000FC0 03F00007E0000FC003F00007E0000FC003F00007E0000FC003F00007E0000FC003F00007 E0000FC003F00007E0000FC003F00007E0000FC003F00007E0000FC003F00007E0000FC0 03F00007E0000FC003F00007E0000FC003F00007E0000FC003F00007E0000FC003F00007 E0000FC003F00007E0000FC003F00007E0000FC003F00007E0000FC007F8000FF0001FE0 FFFFC1FFFF83FFFFFFFFC1FFFF83FFFFFFFFC1FFFF83FFFF40257EA445>I<03F00FF000 00FFF03FFC0000FFF0F03F0000FFF1C01F80000FF3800FC00003F7000FC00003FE000FC0 0003FC0007E00003FC0007E00003F80007E00003F80007E00003F80007E00003F00007E0 0003F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003F00007E0 0003F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003F00007E0 0003F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003F00007E0 0003F00007E00003F00007E00007F8000FF000FFFFC1FFFF80FFFFC1FFFF80FFFFC1FFFF 8029257EA42E>I<0003FE0000000FFF8000003E03E00000F800F80001F0007C0003E000 3E0007C0001F000F80000F801F80000FC01F000007C03F000007E03F000007E07E000003 F07E000003F07E000003F07E000003F0FE000003F8FE000003F8FE000003F8FE000003F8 FE000003F8FE000003F8FE000003F8FE000003F8FE000003F87E000003F07E000003F07F 000007F03F000007E03F000007E01F80000FC00F80000F800FC0001F8007E0003F0003F0 007E0000F800F800007E03F000001FFFC0000003FE000025277EA52A>I<03F01FE000FF F07FF800FFF1E07E00FFF3801F8007F7000FC003FE0007E003FC0003F003F80003F803F0 0001F803F00001FC03F00000FC03F00000FE03F00000FE03F00000FE03F000007F03F000 007F03F000007F03F000007F03F000007F03F000007F03F000007F03F000007F03F00000 7F03F000007F03F00000FE03F00000FE03F00000FE03F00001FC03F00001FC03F80003F8 03F80003F003FC0007F003FE000FE003F6000FC003F7803F0003F1E07E0003F0FFF80003 F01FC00003F000000003F000000003F000000003F000000003F000000003F000000003F0 00000003F000000003F000000003F000000003F000000007F8000000FFFFC00000FFFFC0 0000FFFFC0000028357EA42E>I<0003F800C0001FFE01C0007E0781C000FC01C3C003F0 00E3C007F00077C00FE00037C00FC0003FC01FC0001FC03F80001FC03F80000FC07F0000 0FC07F00000FC07F00000FC0FE00000FC0FE00000FC0FE00000FC0FE00000FC0FE00000F C0FE00000FC0FE00000FC0FE00000FC0FE00000FC0FE00000FC07F00000FC07F00000FC0 7F00000FC03F00000FC03F80001FC01F80001FC01FC0003FC00FC0003FC007E0007FC003 F000EFC001F801CFC0007E078FC0001FFE0FC00007F80FC00000000FC00000000FC00000 000FC00000000FC00000000FC00000000FC00000000FC00000000FC00000000FC0000000 0FC00000000FC00000001FE0000003FFFF000003FFFF000003FFFF28357DA42C>I<07E0 1F00FFE07FC0FFE1E3E0FFE387F00FE707F003E607F003EE07F003EC03E003FC008003F8 000003F8000003F8000003F8000003F0000003F0000003F0000003F0000003F0000003F0 000003F0000003F0000003F0000003F0000003F0000003F0000003F0000003F0000003F0 000003F0000003F0000003F0000003F0000003F0000007F80000FFFFF000FFFFF000FFFF F0001C257EA421>I<00FF030003FFE7000F80FF001E003F003C001F0078000F00700007 00F0000700F0000700F0000300F8000300F8000300FC000300FF0000007FE000007FFF00 003FFFE0001FFFF8000FFFFC0003FFFE0000FFFF000007FF8000007F8000001F80C0000F C0C00007C0C00007C0E00003C0E00003C0E00003C0F00003C0F0000380F8000780FC0007 80FC000F00FF001E00F3C07C00E1FFF000C03F80001A277DA521>I<0018000000180000 001800000018000000180000003800000038000000380000007800000078000000780000 00F8000001F8000003F8000007F800001FFFFF00FFFFFF00FFFFFF0001F8000001F80000 01F8000001F8000001F8000001F8000001F8000001F8000001F8000001F8000001F80000 01F8000001F8000001F8000001F8000001F8000001F8000001F8000001F800C001F800C0 01F800C001F800C001F800C001F800C001F800C001F800C001F800C000FC01C000FC0180 007C0380007E0300003F0700000FFE000001F8001A347FB220>I<03F00007E000FFF001 FFE000FFF001FFE000FFF001FFE0000FF0001FE00003F00007E00003F00007E00003F000 07E00003F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003F000 07E00003F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003F000 07E00003F00007E00003F00007E00003F00007E00003F00007E00003F00007E00003F000 07E00003F00007E00003F0000FE00003F0000FE00003F0000FE00003F0001FE00001F000 1FE00001F8003FE00000F80077F80000FC00E7FF80003F03C7FF80001FFF87FF800003FC 07E00029267EA42E>III< FFFF807FFF00FFFF807FFF00FFFF807FFF0003FE003FF00001FE001F800000FE001F0000 007E001C0000003F00180000001F80300000001FC0700000000FC0E000000007E0C00000 0007F18000000003FB8000000001FF0000000000FE0000000000FE00000000007F000000 00003F00000000007F80000000007FC000000000CFC000000001C7E00000000383F00000 000703F80000000601F80000000C00FC0000001C007E00000038007F00000078003F0000 00F0001F800001F8001FC0000FF8003FF000FFFE00FFFF80FFFE00FFFF80FFFE00FFFF80 29247FA32C>II<3FFFFFFC3FFFFFFC3F 8003FC3E0003F83C0007F038000FE030000FE070001FC070003F8060007F8060007F0060 00FE006001FC006001FC000003F8000007F0000007F000000FE000001FC000003F800000 3F8000007F000600FE000600FE000601FC000603F8000607F8000E07F0000E0FE0000C1F C0001C1FC0001C3F80003C7F00007CFF0003FCFFFFFFFCFFFFFFFC1F247EA325>II E /FH 8 117 df<00000003E000000000000000 07F00000000000000007F0000000000000000FF8000000000000000FF800000000000000 0FF8000000000000001FFC000000000000001FFC000000000000003FFE00000000000000 3FFE000000000000003FFE000000000000007FFF000000000000007FFF00000000000000 FFFF80000000000000FFFF80000000000000FFFF80000000000001FFFFC0000000000001 F3FFC0000000000003F3FFE0000000000003E1FFE0000000000003E1FFE0000000000007 E1FFF0000000000007C0FFF000000000000FC0FFF800000000000F807FF800000000000F 807FF800000000001F807FFC00000000001F003FFC00000000003F003FFE00000000003E 001FFE00000000003E001FFE00000000007E001FFF00000000007C000FFF0000000000FC 000FFF8000000000F80007FF8000000000F80007FF8000000001F80007FFC000000001F0 0003FFC000000003FFFFFFFFE000000003FFFFFFFFE000000003FFFFFFFFE000000007FF FFFFFFF000000007C00000FFF00000000FC00000FFF80000000F8000007FF80000000F80 00007FF80000001F8000007FFC0000001F0000003FFC0000003F0000003FFE0000003E00 00001FFE0000003E0000001FFE0000007E0000001FFF0000007C0000000FFF000000FE00 00000FFF8000FFFFF80007FFFFFF80FFFFF80007FFFFFF80FFFFF80007FFFFFF80FFFFF8 0007FFFFFF80413A7DB948>65 D76 D<003FFE00000003FFFFE000 000FFFFFF800001FF00FFE00003FF003FF00003FF801FF80003FF800FFC0003FF800FFC0 003FF8007FE0003FF8007FE0001FF0007FE0000FE0007FE0000380007FE0000000007FE0 000000007FE00000003FFFE000000FFFFFE000007FFFFFE00001FFF87FE00007FF807FE0 000FFE007FE0003FF8007FE0003FF0007FE0007FE0007FE000FFE0007FE000FFC0007FE0 00FFC0007FE000FFC0007FE000FFC0007FE000FFC000FFE000FFE001FFE0007FE001FFE0 003FF007FFF8001FFC1FBFFFC00FFFFE1FFFC003FFF80FFFC0003FE003FFC02A257DA42E >97 D<00FF00000000FFFF00000000FFFF00000000FFFF00000000FFFF0000000007FF00 00000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003FF00 00000003FF0000000003FF0000000003FF0000000003FF0000000003FF0000000003FF00 00000003FF0000000003FF0000000003FF0000000003FF01FF800003FF0FFFF00003FF3F FFFC0003FFFE03FF0003FFF000FF8003FFE0007FC003FF80003FE003FF00003FF003FF00 001FF803FF00001FF803FF00001FFC03FF00000FFC03FF00000FFC03FF00000FFE03FF00 000FFE03FF00000FFE03FF00000FFE03FF00000FFE03FF00000FFE03FF00000FFE03FF00 000FFE03FF00000FFE03FF00000FFE03FF00000FFC03FF00000FFC03FF00000FFC03FF00 001FF803FF00001FF803FF00001FF003FF80003FF003FFC0007FE003FFE0007FC003FDF0 01FF8003F8FC07FE0003F03FFFF80003E00FFFE00003C003FF00002F3A7EB935>I<0001 FFC000000FFFFC00007FFFFF0000FF80FF8003FE00FFC007FC01FFC00FF801FFC01FF801 FFC01FF001FFC03FF001FFC03FF000FF807FE0007F007FE0001C007FE0000000FFE00000 00FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000 FFE00000007FE00000007FE00000007FF00000003FF00000003FF00001E01FF80001E01F F80003E00FFC0007C007FE00078003FF001F8000FFC07E00007FFFFC00000FFFF0000001 FF800023257DA42A>I<00FE03F000FFFE0FFE00FFFE3FFF00FFFE7C7F80FFFEF8FFC007 FEF0FFC003FFE0FFC003FFC0FFC003FFC0FFC003FF807F8003FF803F0003FF800C0003FF 80000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00 000003FF00000003FF00000003FF00000003FF00000003FF00000003FF00000003FF0000 0003FF00000003FF00000003FF00000003FF00000003FF00000003FF000000FFFFFE0000 FFFFFE0000FFFFFE0000FFFFFE000022257EA427>114 D<003FF03803FFFEF80FFFFFF8 1FC00FF83F0003F87E0001F87C0000F8FC0000F8FC000078FE000078FF000078FF800000 FFFC0000FFFFE0007FFFFC007FFFFF803FFFFFC01FFFFFF00FFFFFF803FFFFF800FFFFFC 001FFFFC00007FFE000007FEF00001FEF00000FEF80000FEF800007EFC00007EFC00007C FE0000FCFF0000F8FF8001F8FFF007F0FFFFFFC0F8FFFF00E01FF8001F257DA426>I<00 0F0000000F0000000F0000000F0000000F0000001F0000001F0000001F0000001F000000 3F0000003F0000007F000000FF000000FF000001FF000007FF00001FFFFFE0FFFFFFE0FF FFFFE0FFFFFFE003FF000003FF000003FF000003FF000003FF000003FF000003FF000003 FF000003FF000003FF000003FF000003FF000003FF000003FF000003FF000003FF000003 FF000003FF000003FF007803FF007803FF007803FF007803FF007803FF007803FF007803 FF007803FF00F801FF80F001FF81F000FFC3E0003FFFC0001FFF800003FE001D357EB425 >I E /FI 84 128 df<0000003C0000000000003C0000000000003C0000000000007E00 00000000007E0000000000007E000000000000FF000000000000FF000000000000FF0000 00000001FF800000000001FF800000000001FF800000000003FFC00000000003FFC00000 000003BFC00000000003BFC000000000073FE000000000071FE000000000071FE0000000 000E1FF0000000000E0FF0000000000E0FF0000000001C0FF8000000001C07F800000000 1C07F8000000003C07FC000000003803FC000000003803FC000000007803FE0000000070 03FE000000007001FE000000007001FE00000000E001FF00000000E000FF00000000E000 FF00000001C000FF80000001C0007F80000001C0007F8000000380007FC000000380003F C000000380003FC000000780003FE000000700001FE000000700001FE000000F00001FF0 00000E00000FF000000E00000FF000001E00000FF800001C00000FF800001C000007F800 001C000007F8000038000007FC000038000003FC000038000003FC000070000003FE0000 70000001FE000070000001FE0000F0000001FF0000F0000000FF0001F0000000FF0003F8 000001FF800FFE000007FFC0FFFFE000FFFFFFFFFFE000FFFFFFFFFFE000FFFFFF38417D C03F>3 D5 D<000FFFFFFFE000000FFFFFFFE000000FFFFFFFE000000003FF800000000000 FE000000000000FE000000000000FE000000000000FE000000000000FE000000000000FE 000000000000FE000000000000FE000000000007FFC0000000007FFFFC00000003FCFE7F 8000000FE0FE0FE000003F80FE03F80000FE00FE00FE0001FC00FE007F0003F800FE003F 8007F000FE001FC00FF000FE001FE01FE000FE000FF03FE000FE000FF83FE000FE000FF8 7FC000FE0007FC7FC000FE0007FCFFC000FE0007FEFFC000FE0007FEFFC000FE0007FEFF C000FE0007FEFFC000FE0007FEFFC000FE0007FEFFC000FE0007FEFFC000FE0007FE7FC0 00FE0007FC7FC000FE0007FC3FE000FE000FF83FE000FE000FF81FE000FE000FF00FF000 FE001FE007F000FE001FC003F800FE003F8001FC00FE007F0000FE00FE00FE00003F80FE 03F800000FE0FE0FE0000003FCFE7F800000007FFFFC0000000007FFC00000000000FE00 0000000000FE000000000000FE000000000000FE000000000000FE000000000000FE0000 00000000FE000000000000FE000000000003FF800000000FFFFFFFE000000FFFFFFFE000 000FFFFFFFE000373E7BBD42>8 D<000001FFC000000000001FFFFC0000000000FF007F 8000000003F8000FE00000000FF00007F80000001FC00001FC0000007F800000FF000000 FF0000007F800001FE0000003FC00003FE0000003FE00007FC0000001FF0000FFC000000 1FF8000FF80000000FF8001FF80000000FFC001FF000000007FC003FF000000007FE003F F000000007FE003FF000000007FE007FE000000003FF007FE000000003FF007FE0000000 03FF007FE000000003FF007FE000000003FF007FE000000003FF007FE000000003FF007F E000000003FF007FE000000003FF007FE000000003FF003FF000000007FE003FF0000000 07FE003FF000000007FE001FF000000007FC001FF000000007FC000FF80000000FF8000F F80000000FF80007F80000000FF00007FC0000001FF00003FC0000001FE00003FC000000 1FE00001FE0000003FC00000FE0000003F800000FE0000003F8000007F0000007F000000 3F0000007E0000003F0000007E0000001F800000FC0000000F800000F80000000F800000 F800000007C00001F00000E007C00001F00380E003C00001E003807001C00001C0070070 01E00003C007007000E000038007007000E000038007007000E000038007003800600003 000E003C00700007001E003FFFF00007FFFE003FFFF00007FFFE003FFFF00007FFFE001F FFF00007FFFC001FFFF00007FFFC001FFFF00007FFFC0039407CBF42>10 D<000001FF000FE00000001FFFE03FFC0000007F00F8FC1E000001FC003FF03F000007F0 007FE07F80000FE000FFE0FF80001FC001FFC0FF80003F8001FF80FF80007F8001FF80FF 80007F0001FF807F00007F0001FF003E0000FE0000FF00000000FE00007F00000000FE00 007F00000000FE00007F00000000FE00007F00000000FE00007F00000000FE00007F0000 0000FE00007F00000000FE00007F00000000FE00007F00000000FE00007F00000000FE00 007F00000000FE00007F00000000FE00007F000000FFFFFFFFFFFF8000FFFFFFFFFFFF80 00FFFFFFFFFFFF800000FE00007F00000000FE00007F00000000FE00007F00000000FE00 007F00000000FE00007F00000000FE00007F00000000FE00007F00000000FE00007F0000 0000FE00007F00000000FE00007F00000000FE00007F00000000FE00007F00000000FE00 007F00000000FE00007F00000000FE00007F00000000FE00007F00000000FE00007F0000 0000FE00007F00000000FE00007F00000000FE00007F00000000FE00007F00000000FE00 007F00000000FE00007F00000000FE00007F00000000FE00007F00000000FE00007F0000 0000FE00007F00000000FE00007F00000000FE00007F00000000FE00007F00000000FE00 007F00000000FE00007F00000001FF0000FF8000007FFFFC3FFFFF80007FFFFC3FFFFF80 007FFFFC3FFFFF800039407FBF35>I<000001FF000000001FFFC00000007F01F0000001 FC0078000007F0001C00000FE0003E00001FC000FF00003F8001FF00007F8001FF00007F 0001FF00007F0001FF0000FE0001FF0000FE0000FE0000FE0000380000FE0000000000FE 0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE0000000000FE 0000000000FE0000000000FE0000000000FE00007F00FFFFFFFFFF00FFFFFFFFFF00FFFF FFFFFF0000FE0001FF0000FE0000FF0000FE00007F0000FE00007F0000FE00007F0000FE 00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE 00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE 00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE 00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE 00007F0000FE00007F0000FE00007F0001FF0000FF807FFFFC3FFFFE7FFFFC3FFFFE7FFF FC3FFFFE2F407FBF33>I<000001FF800000001FFFF70000007F00FF000001F800FF0000 07F001FF00000FE001FF00001FC001FF00003F8001FF00007F8001FF00007F0001FF0000 7F0000FF0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F0000FE00007F0000FE00007F00FFFFFFFFFF00FFFFFFFFFF00FFFFFFFFFF0000 FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000FE00007F0000 FE00007F0000FE00007F0001FF0000FF807FFFFC3FFFFE7FFFFC3FFFFE7FFFFC3FFFFE2F 407FBF33>I<003E003F007F00FF00FF01FE03FC07F807F00FE01FC01F803E007C00F800 7000200010116EBE2D>19 D<1E000F007F803FC0FF807FC0FFC07FE0FFC07FE0FFE07FF0 FFE07FF0FFE07FF07FE03FF01E600F300060003000600030006000300060003000E00070 00C0006000C0006000C0006001C000E0018000C0038001C003000180070003800E000700 1C000E0018000C0038001C00300018001C1C7DBE2D>34 D<0000300000700000E00001C0 000380000780000F00001E00003E00003C0000780000F80000F00001F00001E00003E000 03E00007C00007C0000FC0000F80000F80001F80001F00001F00003F00003F00003F0000 3E00007E00007E00007E00007E00007E00007E00007C0000FC0000FC0000FC0000FC0000 FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000FC0000 FC0000FC00007C00007E00007E00007E00007E00007E00007E00003E00003F00003F0000 3F00001F00001F00001F80000F80000F80000FC00007C00007C00003E00003E00001E000 01F00000F00000F800007800003C00003E00001E00000F000007800003800001C00000E0 000070000030145A77C323>40 DI<00000006000000000000000F000000000000000F000000000000000F0000000000 00000F000000000000000F000000000000000F000000000000000F000000000000000F00 0000000000000F000000000000000F000000000000000F000000000000000F0000000000 00000F000000000000000F000000000000000F000000000000000F000000000000000F00 0000000000000F000000000000000F000000000000000F000000000000000F0000000000 00000F000000000000000F000000000000000F000000000000000F000000000000000F00 0000000000000F000000007FFFFFFFFFFFFFE0FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF07F FFFFFFFFFFFFE00000000F000000000000000F000000000000000F000000000000000F00 0000000000000F000000000000000F000000000000000F000000000000000F0000000000 00000F000000000000000F000000000000000F000000000000000F000000000000000F00 0000000000000F000000000000000F000000000000000F000000000000000F0000000000 00000F000000000000000F000000000000000F000000000000000F000000000000000F00 0000000000000F000000000000000F000000000000000F000000000000000F0000000000 00000F0000000000000006000000003C3C7BB447>43 D<1E007F80FF80FFC0FFC0FFE0FF E0FFE07FE01E60006000600060006000E000C000C000C001C001800380030007000E001C 001800380030000B1C798919>II<1E007F807F80FFC0FFC0FFC0FFC07F807F801E000A0A798919>I<0001FE0000000F FFC000003F03F000007C00F80000F8007C0001F0003E0003E0001F0007C0000F8007C000 0F800FC0000FC01F800007E01F800007E01F800007E03F800007F03F800007F03F000003 F07F000003F87F000003F87F000003F87F000003F87F000003F87F000003F8FF000003FC FF000003FCFF000003FCFF000003FCFF000003FCFF000003FCFF000003FCFF000003FCFF 000003FCFF000003FCFF000003FCFF000003FCFF000003FCFF000003FCFF000003FCFF00 0003FCFF000003FCFF000003FCFF000003FCFF000003FC7F000003F87F000003F87F0000 03F87F000003F87F000003F83F800007F03F800007F03F800007F01F800007E01F800007 E01F800007E00FC0000FC00FC0000FC007E0001F8003E0001F0001F0003E0000F8007C00 007C00F800003F03F000000FFFC0000001FE0000263F7DBC2D>48 D<0001C0000003C0000007C000001FC000007FC00007FFC000FFFFC000FF9FC000F81FC0 00001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC0 00001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC0 00001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC0 00001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC0 00001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC0 00001FC000001FC000001FC000007FF000FFFFFFF8FFFFFFF8FFFFFFF81D3D78BC2D>I< 0007FC0000003FFF800000FFFFE00003F01FF80007C007FC000F0001FE001E0000FF001C 0000FF803C00007FC07800007FC07800003FE07000003FE0FF00003FE0FF80001FF0FFC0 001FF0FFC0001FF0FFC0001FF0FFC0001FF0FFC0001FF07F80001FF03F00001FF00C0000 1FF00000001FE00000003FE00000003FE00000003FC00000007FC00000007F80000000FF 80000000FF00000001FE00000001FC00000003F800000007F000000007E00000000FC000 00001F800000003F000000007E000000007C00000000F800000001F000000003E0000000 07C00000000F800000001F000070003E000070003C000070007800007000F00000E001E0 0000E003C00000E007800000E00F000001E01FFFFFFFE01FFFFFFFE03FFFFFFFE07FFFFF FFC0FFFFFFFFC0FFFFFFFFC0FFFFFFFFC0243D7CBC2D>I<0007FC0000003FFF800000F8 0FE00001E003F800078001FC000F0001FE000E0000FF001E0000FF801F80007F803FC000 7FC03FE0007FC03FE0007FC03FF0007FC03FE0007FC03FE0007FC01FE0007FC00FC0007F C00000007F80000000FF80000000FF00000000FF00000001FE00000001FE00000003FC00 000003F800000007E00000000FC00000003F0000001FFC0000001FFF800000000FE00000 0007F800000003FC00000001FE00000000FF00000000FF800000007FC00000007FC00000 007FE00000003FE00000003FE00000003FF00000003FF00C00003FF03F00003FF07F8000 3FF0FFC0003FF0FFC0003FF0FFC0003FF0FFC0003FE0FFC0003FE0FF80007FE07F00007F C07800007FC0780000FF803C0000FF801E0001FF000F0003FE0007C007FC0003F80FF000 00FFFFE000003FFF80000007F80000243F7CBC2D>I<0000000E000000001E000000003E 000000003E000000007E000000007E00000000FE00000001FE00000001FE00000003FE00 0000077E000000067E0000000E7E0000001C7E0000001C7E000000387E000000707E0000 00707E000000E07E000001C07E000001C07E000003807E000007007E000007007E00000E 007E00001C007E00001C007E000038007E000070007E000070007E0000E0007E0000C000 7E0001C0007E000380007E000300007E000700007E000E00007E000C00007E001C00007E 003800007E003800007E007000007E00E000007E00FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF 000000FE00000000FE00000000FE00000000FE00000000FE00000000FE00000000FE0000 0000FE00000000FE00000000FE00000000FE00000000FE00000001FF000001FFFFFF0001 FFFFFF0001FFFFFF283E7EBD2D>I<06000003000780001F0007F800FE0007FFFFFE0007 FFFFFC0007FFFFF80007FFFFF00007FFFFC00007FFFF000007FFFC0000073FE000000700 000000070000000007000000000700000000070000000007000000000700000000070000 000007000000000700000000070000000007000000000701FE0000070FFF8000073E03E0 00077001F80007E000FC0007C0007E000780003F000700003F800600001F800000001FC0 0000001FC00000001FE00000000FE00000000FE00000000FE00000000FF00000000FF000 00000FF00C00000FF07F00000FF07F80000FF0FF80000FF0FF80000FF0FF80000FF0FF80 000FF0FF80000FE0FF00001FE0FC00001FE07000001FC07800001FC03800003F803C0000 3F801E00007F001F0000FE000F8001FC0007C003F80003F80FE00000FFFFC000003FFF00 000007F80000243F7CBC2D>I<00001FE0000000FFF8000003F03E00000FC00F00001F00 0780003E000780007E001FC000FC003FC001F8007FC003F8007FC003F0007FC007F0007F C00FE0003F800FE0001F001FE00000001FC00000001FC00000003FC00000003FC0000000 3FC00000007F800000007F800000007F80FE00007F87FF8000FF8F07E000FF9C01F000FF B800FC00FFB0007E00FFF0007E00FFE0003F00FFE0003F80FFC0003FC0FFC0003FC0FFC0 001FE0FFC0001FE0FFC0001FE0FF80001FF0FF80001FF0FF80001FF0FF80001FF0FF8000 1FF07F80001FF07F80001FF07F80001FF07F80001FF07F80001FF07F80001FF03F80001F F03FC0001FE03FC0001FE01FC0001FE01FC0003FC01FC0003FC00FE0003F800FE0003F80 07E0007F0003F0007E0001F800FC0000FC01F800007E07F000003FFFE000000FFF800000 03FC0000243F7CBC2D>I<38000000003C000000003F000000003FFFFFFFFC3FFFFFFFFC 3FFFFFFFFC3FFFFFFFF87FFFFFFFF87FFFFFFFF07FFFFFFFE078000001E070000003C070 0000078070000007007000000F00E000001E00E000001C00E000003C00E0000078000000 007000000000F000000001E000000001C000000003C0000000078000000007000000000F 000000001E000000001E000000003C000000003C000000007C000000007800000000F800 000000F800000001F800000001F000000003F000000003F000000003F000000007F00000 0007F000000007F00000000FF00000000FE00000000FE00000001FE00000001FE0000000 1FE00000001FE00000001FE00000001FE00000003FE00000003FE00000003FE00000003F E00000003FE00000003FE00000003FE00000003FE00000003FE00000003FE00000001FC0 0000000700000026407BBD2D>I<0003FC0000001FFF8000007C07E00000F001F80001E0 007C0003C0003E000780001F000F00001F000F00000F801E00000F801E00000FC03E0000 07C03E000007C03E000007C03E000007C03F000007C03F000007C03F80000F803FC0000F 801FE0001F801FF0001F001FFC003E000FFE007C000FFF80780007FFC0F00003FFF3E000 01FFFF800000FFFF0000003FFF0000001FFFC000000FFFE000003FFFF8000078FFFC0001 F07FFE0003E01FFF0007C00FFF800F8003FFC01F0001FFC03F00007FE03E00003FE07E00 001FE07C00000FF07C000007F0F8000003F0F8000003F0F8000003F0F8000001F0F80000 01F0F8000001F0F8000001F0FC000001E07C000003E07C000003E07E000003C03F000007 C01F00000F801F80001F000FC0003E0007F0007C0001FC03F80000FFFFE000001FFF8000 0003FC0000243F7CBC2D>I<0003FC0000001FFF0000007E07C00000FC03F00001F801F8 0003F000FC0007E0007C000FE0007E001FC0007F001FC0003F003FC0003F803F80003F80 7F80003FC07F80003FC07F80001FC0FF80001FC0FF80001FE0FF80001FE0FF80001FE0FF 80001FE0FF80001FE0FF80001FF0FF80001FF0FF80001FF0FF80001FF0FF80001FF07F80 001FF07F80003FF07F80003FF07F80003FF03FC0003FF03FC0003FF01FC0007FF00FC000 7FF007E000FFF007F000DFF003F001DFF000F8039FF0007E0F1FF0001FFE1FE00007F01F E00000001FE00000001FE00000003FC00000003FC00000003FC00000003FC00000003F80 0000007F800F80007F001FC0007F003FE000FE003FE000FE003FE001FC003FE001F8003F C003F0003F8007F0001E000FE0001F001FC0000FC07F000003FFFE000001FFF80000003F C00000243F7CBC2D>I<1E007F807F80FFC0FFC0FFC0FFC07F807F801E00000000000000 00000000000000000000000000000000000000000000000000000000000000001E007F80 7F80FFC0FFC0FFC0FFC07F807F801E000A2779A619>I<1E007F807F80FFC0FFC0FFC0FF C07F807F801E000000000000000000000000000000000000000000000000000000000000 0000000000000000001E007F00FF80FF80FFC0FFC0FFC0FFC07FC01EC000C000C000C000 C001C001800180018003800300070006000E000C001C003800300030000A3979A619>I< 7FFFFFFFFFFFFFE0FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF07FFFFFFFFFFFFFE000000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000 7FFFFFFFFFFFFFE0FFFFFFFFFFFFFFF0FFFFFFFFFFFFFFF07FFFFFFFFFFFFFE03C167BA1 47>61 D<00000007000000000000000F800000000000000F800000000000000F80000000 0000001FC00000000000001FC00000000000001FC00000000000003FE00000000000003F E00000000000003FE00000000000007FF00000000000007FF00000000000007FF0000000 000000FFF8000000000000E7F8000000000000E7F8000000000001C7FC000000000001C3 FC000000000001C3FC00000000000381FE00000000000381FE00000000000381FE000000 00000700FF00000000000700FF00000000000700FF00000000000E007F80000000000E00 7F80000000000E007F80000000001C003FC0000000001C003FC0000000001C003FC00000 000038001FE00000000038001FE00000000038001FE00000000070000FF0000000007000 0FF00000000070000FF000000000E00007F800000000E00007F800000000E00007F80000 0001C00003FC00000001FFFFFFFC00000001FFFFFFFC00000003FFFFFFFE000000038000 01FE00000003800001FE00000007000000FF00000007000000FF0000000F000000FF8000 000E0000007F8000000E0000007F8000001E0000007FC000001C0000003FC000001C0000 003FC000003C0000003FE00000380000001FE00000380000001FE00000780000001FF000 00780000000FF00000FC0000000FF00003FC0000001FF8000FFF0000003FFC00FFFFF000 0FFFFFF8FFFFF0000FFFFFF8FFFFF0000FFFFFF83D417DC044>65 DI<0000003FF00006000003FFFE000E00000FFFFF801E00003FF007 E03E0000FF8000F83E0003FE00007C7E0007F800001EFE000FF000000FFE003FE0000007 FE007FC0000003FE00FF80000003FE00FF00000001FE01FE00000000FE03FE00000000FE 07FC000000007E07F8000000007E0FF8000000003E0FF8000000003E1FF0000000001E1F F0000000001E3FF0000000001E3FE0000000001E3FE0000000000E7FE0000000000E7FE0 000000000E7FE0000000000E7FC00000000000FFC00000000000FFC00000000000FFC000 00000000FFC00000000000FFC00000000000FFC00000000000FFC00000000000FFC00000 000000FFC00000000000FFC00000000000FFC00000000000FFC000000000007FC0000000 00007FE000000000007FE0000000000E7FE0000000000E3FE0000000000E3FE000000000 0E3FF0000000000E1FF0000000001E1FF0000000001C0FF8000000001C0FF8000000001C 07F8000000003C07FC000000003803FE000000007801FE000000007000FF00000000F000 FF80000001E0007FC0000001C0003FE0000003C0000FF0000007800007F800001F000003 FE00003E000000FF8000F80000003FF007F00000000FFFFFC000000003FFFF0000000000 3FF0000037427BBF42>IIII<0000003FE0000C00 000003FFFE001C0000001FFFFF803C0000007FF00FC07C000000FF0001F07C000003FC00 0078FC000007F800003DFC00001FE000001FFC00003FC000000FFC00007F80000007FC00 00FF80000003FC0001FF00000003FC0001FE00000001FC0003FC00000001FC0007FC0000 0000FC0007F800000000FC000FF8000000007C000FF0000000007C001FF0000000003C00 1FF0000000003C003FE0000000003C003FE0000000003C003FE0000000001C007FE00000 00001C007FE0000000001C007FC0000000001C007FC0000000000000FFC0000000000000 FFC0000000000000FFC0000000000000FFC0000000000000FFC0000000000000FFC00000 00000000FFC0000000000000FFC0000000000000FFC0000000000000FFC0000000000000 FFC0000000000000FFC000001FFFFFF07FC000001FFFFFF07FC000001FFFFFF07FE00000 000FFE007FE000000003FC003FE000000003FC003FE000000003FC003FF000000003FC00 1FF000000003FC001FF000000003FC000FF800000003FC000FF800000003FC0007F80000 0003FC0007FC00000003FC0003FC00000003FC0001FE00000003FC0001FF00000003FC00 00FF80000003FC00007FC0000007FC00003FE0000007FC00001FF000000FFC000007F800 001EFC000003FE00003C7C000000FF8000F83C0000007FF007F01C0000001FFFFFC00C00 000003FFFF0000000000003FF00000003C427BBF47>III<001FFFFFFC001FFFFFFC00 1FFFFFFC000007FF00000003FE00000001FE00000001FE00000001FE00000001FE000000 01FE00000001FE00000001FE00000001FE00000001FE00000001FE00000001FE00000001 FE00000001FE00000001FE00000001FE00000001FE00000001FE00000001FE00000001FE 00000001FE00000001FE00000001FE00000001FE00000001FE00000001FE00000001FE00 000001FE00000001FE00000001FE00000001FE00000001FE00000001FE00000001FE0000 0001FE00000001FE00000001FE00000001FE00000001FE00000001FE00000001FE000000 01FE00000001FE003F0001FE007F8001FE00FFC001FE00FFC001FE00FFC001FE00FFC001 FE00FFC003FC00FF8003FC007F0003F8007C0007F800380007F0003C000FE0001E001FC0 000F003F800003E07E000000FFF80000003FC0000026407CBD2F>I 76 DII<0000007FE0000000000007FFFE00000000001F C03F80000000007E0007E000000001FC0003F800000007F00000FE0000000FE000007F00 00001FC000003F8000003F8000001FC000007F0000000FE00000FE00000007F00001FE00 000007F80001FC00000003F80003FC00000003FC0007F800000001FE0007F800000001FE 000FF000000000FF000FF000000000FF001FF000000000FF801FE0000000007F803FE000 0000007FC03FE0000000007FC03FE0000000007FC07FE0000000007FE07FC0000000003F E07FC0000000003FE07FC0000000003FE0FFC0000000003FF0FFC0000000003FF0FFC000 0000003FF0FFC0000000003FF0FFC0000000003FF0FFC0000000003FF0FFC0000000003F F0FFC0000000003FF0FFC0000000003FF0FFC0000000003FF0FFC0000000003FF0FFC000 0000003FF07FC0000000003FE07FE0000000007FE07FE0000000007FE07FE0000000007F E07FE0000000007FE03FE0000000007FC03FE0000000007FC01FF000000000FF801FF000 000000FF801FF000000000FF800FF800000001FF000FF800000001FF0007FC00000003FE 0003FC00000003FC0003FE00000007FC0001FE00000007F80000FF0000000FF000007F00 00000FE000003F8000001FC000001FC000003F8000000FE000007F00000007F00000FE00 000001FC0003F8000000007F000FE0000000001FC03F800000000007FFFE000000000000 7FE00000003C427BBF47>II82 D<0007FC000C001FFF801C007FFFF03C01FC03F83C03F0007E7C07C0001FFC0F80000FFC 1F800007FC3F000003FC3E000001FC7E000000FC7E000000FC7C0000007CFC0000007CFC 0000007CFC0000003CFC0000003CFC0000003CFE0000001CFE0000001CFF0000001CFF00 00001C7F800000007FC00000007FE00000003FF80000003FFF8000001FFFF800000FFFFF 800007FFFFF00003FFFFFC0001FFFFFF0000FFFFFFC0003FFFFFE00007FFFFF000007FFF F0000007FFF80000007FFC0000000FFC00000007FE00000003FE00000001FE00000000FF 00000000FFE00000007FE00000007FE00000007FE00000003FE00000003FF00000003FF0 0000003FF00000003FF00000003EF80000003EF80000007EFC0000007CFE000000FCFF00 0000F8FF800001F8FFC00003F0FFE00007E0F9FC000FC0F07F803F80F01FFFFE00E007FF F800C0007FC00028427BBF33>I<3FFFFFFFFFFFFF803FFFFFFFFFFFFF803FFFFFFFFFFF FF803FF0007FE001FF803F80003FC0003F807F00003FC0001FC07E00003FC00007C07C00 003FC00007C07800003FC00003C07800003FC00003C07800003FC00003C07000003FC000 01C07000003FC00001C07000003FC00001C07000003FC00001C07000003FC00001C0E000 003FC00000E0E000003FC00000E0E000003FC00000E0E000003FC00000E0E000003FC000 00E00000003FC00000000000003FC00000000000003FC00000000000003FC00000000000 003FC00000000000003FC00000000000003FC00000000000003FC00000000000003FC000 00000000003FC00000000000003FC00000000000003FC00000000000003FC00000000000 003FC00000000000003FC00000000000003FC00000000000003FC00000000000003FC000 00000000003FC00000000000003FC00000000000003FC00000000000003FC00000000000 003FC00000000000003FC00000000000003FC00000000000003FC00000000000003FC000 00000000003FC00000000000003FC00000000000003FC00000000000003FC00000000000 003FC00000000000003FC00000000000003FC00000000000003FC00000000000007FE000 0000000000FFF00000000007FFFFFFFE00000007FFFFFFFE00000007FFFFFFFE00003B3D 7DBC42>IIII89 D91 D<018000C0038001C00300 0180070003800E0007001C000E0018000C0038001C003000180070003800600030006000 300060003000E0007000C0006000C0006000C0006000C0006000CF006780FFC07FE0FFE0 7FF0FFE07FF0FFE07FF07FE03FF07FE03FF03FE01FF03FC01FE00F0007801C1C73BE2D> II<001800003C00007E0000FF0001E78003C3C00781E00F00F01E00 783C003C78001EF0000F600006180D76BD2D>I<1E007F807F80FFC0FFC0FFC0FFC07F80 7F801E000A0A79BD19>I<000FF800000000FFFE00000003F01F800000078007E000000F 8003F000000FE001F800001FF001FC00001FF000FE00001FF000FE00001FF000FE00001F F0007F00000FE0007F00000380007F00000000007F00000000007F00000000007F000000 00007F000000001FFF00000003FFFF0000001FF87F0000007F807F000001FC007F000007 F8007F00000FE0007F00001FC0007F00003F80007F00003F80007F00007F00007F00007F 00007F0380FE00007F0380FE00007F0380FE00007F0380FE0000FF0380FE0000FF0380FE 0000FF03807F0001FF03807F0003BF03803F80071F87001FC00E1FCF0007F03C0FFE0001 FFF807FC00003FC001F000292A7DA82D>97 D<01FC00000000FFFC00000000FFFC000000 00FFFC0000000007FC0000000003FC0000000001FC0000000001FC0000000001FC000000 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000 0001FC0000000001FC0000000001FC03FC000001FC1FFF800001FC7C07E00001FDE001F0 0001FFC000FC0001FF80007E0001FF00003F0001FE00003F8001FC00001F8001FC00001F C001FC00000FE001FC00000FE001FC00000FF001FC00000FF001FC000007F001FC000007 F801FC000007F801FC000007F801FC000007F801FC000007F801FC000007F801FC000007 F801FC000007F801FC000007F801FC000007F801FC000007F001FC000007F001FC00000F F001FC00000FF001FC00000FE001FC00001FE001FC00001FC001FE00001F8001FE00003F 0001FF00007F0001FF8000FE0001F3C001F80001F1E003F00001E0780FC00001C03FFF00 00000007F800002D407EBE33>I<0001FF0000000FFFE000003F00F800007C001E0001F8 001F0003F0007F0007F000FF800FE000FF800FC000FF801FC000FF801FC000FF803F8000 7F003F80001C007F800000007F800000007F00000000FF00000000FF00000000FF000000 00FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000FF00000000 FF000000007F800000007F800000007F800000003F800001C03FC00001C01FC00003C01F C00003800FE000078007F000070003F0000E0001F8001E0000FC007800003F01F000000F FFC0000001FE0000222A7DA828>I<00000001FC00000000FFFC00000000FFFC00000000 FFFC0000000007FC0000000003FC0000000001FC0000000001FC0000000001FC00000000 01FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00000000 01FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC00000000 01FC0000000001FC000000FF01FC000007FFE1FC00001F80F9FC00007E003DFC0000FC00 1FFC0003F80007FC0007F00007FC0007E00003FC000FC00001FC001FC00001FC003FC000 01FC003F800001FC007F800001FC007F800001FC007F000001FC007F000001FC00FF0000 01FC00FF000001FC00FF000001FC00FF000001FC00FF000001FC00FF000001FC00FF0000 01FC00FF000001FC00FF000001FC00FF000001FC007F000001FC007F800001FC007F8000 01FC003F800001FC003F800001FC001FC00001FC000FC00003FC000FE00003FC0007E000 07FC0003F0000FFE0001F8001FFF00007C0079FFF8003F01F1FFF8000FFFC1FFF80001FE 01FC002D407DBE33>I<0001FE0000000FFFC000003F03F00000FC01F80001F800FC0003 F0007E0007E0003F000FE0003F800FC0001F801FC0001FC03F80000FC03F80000FC07F80 000FC07F80000FE07F00000FE07F00000FE0FF00000FE0FF00000FE0FFFFFFFFE0FFFFFF FFE0FF00000000FF00000000FF00000000FF00000000FF00000000FF000000007F000000 007F000000007F800000003F800000003F800000E01FC00000E01FC00001E00FC00001C0 07E00003C007F000078003F800070000FC001E00007E003C00001F80F8000007FFE00000 00FF0000232A7EA828>I<00001FC000007FF80001F83C0007E07E000FC0FF001FC1FF00 3F81FF003F01FF007F01FF007F00FE00FE007C00FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE0000FFFFFF00FFFFFF00FFFFFF0000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000 FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000000FE000001 FF00007FFFFF007FFFFF007FFFFF0020407EBF1C>I<000000007C000003F801FF00001F FF078F80007E0FDE1F8000F803F81F8003F001F81F8003F001F81F8007E000FC06000FE0 00FE00000FC0007E00001FC0007F00001FC0007F00001FC0007F00001FC0007F00001FC0 007F00001FC0007F00001FC0007F00001FC0007F00000FC0007E00000FE000FE000007E0 00FC000003F001F8000003F001F8000001F803E0000003FE0FC00000071FFF0000000703 F80000000600000000000E00000000000E00000000000E00000000000F00000000000F00 000000000F80000000000FC00000000007FFFFE0000007FFFFFE000003FFFFFF800001FF FFFFE00000FFFFFFF00003FFFFFFF8000FC0001FFC001F000001FE003E000000FE007C00 00007E007C0000003F00F80000003F00F80000001F00F80000001F00F80000001F00F800 00001F00FC0000003F007C0000003E007E0000007E003F000000FC001F800001F8000FC0 0003F00003F0000FC00000FE007F0000003FFFFC00000003FFC00000293D7EA82D>I<01 FC00000000FFFC00000000FFFC00000000FFFC0000000007FC0000000003FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC01FE000001 FC07FFC00001FC1E07E00001FC7803F00001FCE001F80001FDC001FC0001FD8001FC0001 FF8000FE0001FF0000FE0001FF0000FE0001FE0000FE0001FE0000FE0001FC0000FE0001 FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001 FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001 FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001 FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0003FE0001FF00FF FFF87FFFFCFFFFF87FFFFCFFFFF87FFFFC2E3F7DBE33>I<01E00007F80007F8000FFC00 0FFC000FFC000FFC0007F80007F80001E000000000000000000000000000000000000000 00000000000000000000000000000000000001FC007FFC007FFC007FFC0007FC0003FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0003FE00FFFFF0FFFFF0FFFFF0143E7DBD1A> I<0000780001FE0001FE0003FF0003FF0003FF0003FF0001FE0001FE0000780000000000 0000000000000000000000000000000000000000000000000000000000000000007F007F FF007FFF007FFF0001FF0000FF00007F00007F00007F00007F00007F00007F00007F0000 7F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F0000 7F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F0000 7F00007F00007F00007F00007F00007F00007F00007F00007F00007F3E007F7F007FFF80 7EFF80FEFF80FEFF80FCFF81F87F01F87C03F01E07C00FFF8001FC00185185BD1C>I<01 FC00000000FFFC00000000FFFC00000000FFFC0000000007FC0000000003FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC00FFFF8001FC00FFFF8001FC00FFFF8001FC003FFC0001FC003FE00001FC003F800001 FC003F000001FC003C000001FC0078000001FC00F0000001FC01E0000001FC07C0000001 FC0F80000001FC1F00000001FC3E00000001FC7F00000001FCFF80000001FDFF80000001 FFDFC0000001FF9FE0000001FF0FE0000001FE07F0000001FC07F8000001F803FC000001 F801FC000001F801FE000001F800FF000001F8007F000001F8007F800001F8003FC00001 F8001FC00001F8001FE00001F8000FF00001F8000FF00001F8000FF80003FC000FFE00FF FFF07FFFE0FFFFF07FFFE0FFFFF07FFFE02B3F7EBE30>I<01FC00FFFC00FFFC00FFFC00 07FC0003FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC0001FC00 01FC0001FC0001FC0001FC0001FC0001FC0001FC0003FE00FFFFF8FFFFF8FFFFF8153F7D BE1A>I<01F801FE0000FF0000FFF807FFC003FFE000FFF81E07E00F03F000FFF87803F0 3C01F80007F8E001F87000FC0003F9C001FCE000FE0001F98001FCC000FE0001FB8000FF C0007F0001FB0000FF80007F0001FF0000FF80007F0001FE0000FF00007F0001FE0000FF 00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE 00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE 00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE 00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE 00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE 00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE00007F0001FC0000FE 00007F0003FE0001FF0000FF80FFFFF87FFFFC3FFFFEFFFFF87FFFFC3FFFFEFFFFF87FFF FC3FFFFE47287DA74C>I<01F801FE0000FFF807FFC000FFF81E07E000FFF87803F00007 F8E001F80003F9C001FC0001F98001FC0001FB8000FE0001FB0000FE0001FF0000FE0001 FE0000FE0001FE0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001 FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001 FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001 FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001 FC0000FE0001FC0000FE0003FE0001FF00FFFFF87FFFFCFFFFF87FFFFCFFFFF87FFFFC2E 287DA733>I<0000FF00000007FFE000001F81F800007E007E0000F8001F0001F0000F80 03E00007C007C00003E00FC00003F01F800001F81F800001F83F800001FC3F800001FC7F 000000FE7F000000FE7F000000FE7F000000FEFF000000FFFF000000FFFF000000FFFF00 0000FFFF000000FFFF000000FFFF000000FFFF000000FFFF000000FF7F000000FE7F0000 00FE7F000000FE3F800001FC3F800001FC3F800001FC1F800001F80FC00003F00FC00003 F007E00007E003F0000FC001F8001F80007E007E00003F81FC00000FFFF0000000FF0000 282A7EA82D>I<01FC03FC0000FFFC1FFF8000FFFC7C0FE000FFFDE003F00003FFC001FC 0001FF8000FE0001FF00007F0001FE00003F8001FC00003F8001FC00001FC001FC00001F E001FC00001FE001FC00000FF001FC00000FF001FC00000FF001FC000007F801FC000007 F801FC000007F801FC000007F801FC000007F801FC000007F801FC000007F801FC000007 F801FC000007F801FC000007F801FC00000FF001FC00000FF001FC00000FF001FC00000F F001FC00001FE001FC00001FE001FC00003FC001FE00003F8001FE00007F0001FF00007F 0001FF8000FE0001FFC001F80001FDE007F00001FC780FC00001FC3FFF000001FC07F800 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000 0001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC000000 0001FC0000000003FE00000000FFFFF8000000FFFFF8000000FFFFF80000002D3A7EA733 >I<0000FF001C000007FFC03C00001F80F03C00007F00387C0000FC001C7C0003F8000E 7C0007F0000FFC0007F00007FC000FE00003FC001FE00003FC003FC00003FC003FC00001 FC007F800001FC007F800001FC007F800001FC007F800001FC00FF000001FC00FF000001 FC00FF000001FC00FF000001FC00FF000001FC00FF000001FC00FF000001FC00FF000001 FC00FF000001FC00FF000001FC007F800001FC007F800001FC007F800001FC003FC00001 FC003FC00001FC001FC00003FC000FE00003FC000FE00007FC0007F0000FFC0003F8000F FC0001FC003DFC00007E0079FC00003F81F1FC00000FFFC1FC000001FE01FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001FC0000000001 FC0000000003FE00000000FFFFF8000000FFFFF8000000FFFFF82D3A7DA730>I<01F807 E0FFF81FF8FFF8787CFFF8E1FE07F9C1FE03F981FE01FB81FE01FB01FE01FB00FC01FF00 3001FE000001FE000001FE000001FC000001FC000001FC000001FC000001FC000001FC00 0001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC00 0001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000003FE00 00FFFFFE00FFFFFE00FFFFFE001F287EA724>I<003FC06001FFF8E007C03FE01F000FE0 3E0007E03C0003E07C0003E0780001E0F80001E0F80000E0F80000E0FC0000E0FE0000E0 FF0000E0FF8000007FF800007FFFC0003FFFF8001FFFFE000FFFFF0007FFFF8001FFFFC0 003FFFE00003FFF000001FF000000FF8E00003F8E00003F8E00001F8F00001F8F00000F8 F00000F8F80000F8F80000F0FC0000F0FC0001F0FE0001E0FF0003C0FF800780F3E01F00 E0FFFC00C01FE0001D2A7DA824>I<001C0000001C0000001C0000001C0000001C000000 1C0000003C0000003C0000003C0000003C0000007C0000007C000000FC000000FC000001 FC000003FC000007FC00001FFFFFC0FFFFFFC0FFFFFFC001FC000001FC000001FC000001 FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001 FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC000001FC00E001 FC00E001FC00E001FC00E001FC00E001FC00E001FC00E001FC00E001FC00E000FC00E000 FE01C000FE01C0007F03C0003F0380001F87000007FE000001F8001B397EB723>I<01FC 0000FE00FFFC007FFE00FFFC007FFE00FFFC007FFE0007FC0003FE0003FC0001FE0001FC 0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC 0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC 0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC 0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0000FE0001FC0001FE0001FC 0001FE0001FC0001FE0001FC0003FE0000FC0003FE0000FC0007FE0000FE0006FF00007E 000EFF80003F001CFFFC001FC078FFFC0007FFE0FFFC0000FF80FE002E297DA733>IIIII<1FFFFFFF801FFFFFFF801FE000FF801F8000FF 001F0001FE001E0003FC001C0003FC001C0007F8003C000FF0003C001FF00038001FE000 38003FC00038007FC00038007F80003800FF00000001FE00000001FE00000003FC000000 07F80000000FF80000000FF00000001FE00000003FC00380003FC00380007F80038000FF 00038001FF00038001FE00038003FC00078007FC00078007F80007000FF00007001FE000 0F001FE0000F003FC0001F007F80007F00FF8001FF00FFFFFFFF00FFFFFFFF0021277EA6 28>II<00F0000803FC001C07FF00380FFF80 701F3FF3E03807FFC07003FF80E000FF0040003C001E0979BC2D>126 D<1C000E007F003F80FF807FC0FF807FC0FF807FC0FF807FC0FF807FC07F003F801C000E 001A0977BD2D>I E /FJ 13 101 df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df<1E007F807F80FFC0FF C0FFC0FFC07F807F801E000A0A77891D>46 D<00000003C000000000000003C000000000 000003C000000000000007E000000000000007E00000000000000FF00000000000000FF0 0000000000000FF00000000000001FF80000000000001FF80000000000001FF800000000 00003BFC0000000000003BFC0000000000003BFC00000000000071FE00000000000071FE 000000000000F1FF000000000000E0FF000000000000E0FF000000000001E0FF80000000 0001C07F800000000001C07F800000000003807FC00000000003803FC00000000003803F C00000000007001FE00000000007001FE0000000000F001FF0000000000E000FF0000000 000E000FF0000000001E000FF8000000001C0007F8000000001C0007F8000000003C0007 FC00000000380003FC00000000380003FC00000000700001FE00000000700001FE000000 00700001FE00000000E00000FF00000000E00000FF00000001FFFFFFFF80000001FFFFFF FF80000001FFFFFFFF80000003C000007FC00000038000003FC00000038000003FC00000 070000003FE00000070000001FE00000070000001FE000000E0000000FF000000E000000 0FF000001E0000000FF800001C00000007F800001C00000007F800003C00000007FC0000 3800000003FC00007800000003FC00007800000003FE0000FC00000001FE0001FE000000 03FF000FFF0000000FFF80FFFFF00001FFFFFFFFFFF00001FFFFFFFFFFF00001FFFFFF40 417CC04A>65 DI73 D<0003FE000600001FFFC00E00007FFFF81E0001FE01FC1E0003F0 003F3E0007E0000FFE000FC00007FE001F800003FE001F000001FE003E000000FE007E00 00007E007E0000007E007C0000003E00FC0000003E00FC0000003E00FC0000001E00FC00 00001E00FC0000001E00FE0000000E00FE0000000E00FF0000000E00FF8000000E007F80 000000007FC0000000007FF0000000003FFC000000003FFFC00000001FFFFC0000000FFF FFC0000007FFFFFC000003FFFFFF000001FFFFFFC000007FFFFFE000001FFFFFF0000003 FFFFF80000003FFFFC00000003FFFE000000003FFF0000000007FF0000000001FF800000 0000FF80000000007F80000000007FC0000000003FC0E00000001FC0E00000001FC0E000 00001FC0E00000000FC0E00000000FC0F00000000FC0F00000000FC0F00000000FC0F800 00000F80F80000001F80FC0000001F80FC0000001F00FE0000003F00FF0000003E00FF80 00007C00FFC00000FC00FDF00001F800F8FC0003F000F07FC01FC000F01FFFFF8000E003 FFFE0000C0003FF000002A427ABF38>83 D89 D<000001E0000000000001E0000000000003F0000000000003F0000000 000003F0000000000007F8000000000007F8000000000007F800000000000FFC00000000 000FFC00000000001FFE00000000001CFE00000000001CFE00000000003CFF0000000000 387F0000000000387F0000000000703F8000000000703F8000000000703F8000000000E0 1FC000000000E01FC000000001E01FE000000001C00FE000000001C00FE0000000038007 F0000000038007F0000000038007F0000000070003F8000000070003F80000000F0003FC 0000000E0001FC0000000FFFFFFC0000001FFFFFFE0000001FFFFFFE0000001C0000FE00 00003800007F0000003800007F0000007800007F8000007000003F8000007000003F8000 00F000003FC00000E000001FC00001E000001FC00003F000001FE00007F000001FE0000F F800003FF800FFFE0001FFFFC0FFFE0001FFFFC0FFFE0001FFFFC032317DB038>97 DI100 DI105 D107 DI110 D<00001FF800000000FFFF00000007F00FE000000FC003F000003F0000FC0000 7E00007E0000FC00003F0001F800001F8003F000000FC007E0000007E00FE0000007F00F C0000003F01FC0000003F81F80000001F83F80000001FC3F80000001FC7F80000001FE7F 00000000FE7F00000000FE7F00000000FEFF00000000FFFF00000000FFFF00000000FFFF 00000000FFFF00000000FFFF00000000FFFF00000000FFFF00000000FFFF00000000FFFF 00000000FF7F80000001FE7F80000001FE7F80000001FE3F80000001FC3F80000001FC3F C0000003FC1FC0000003F80FE0000007F00FE0000007F007F000000FE003F000000FC001 F800001F8000FC00003F00007E00007E00003F0000FC00000FC003F0000007F00FE00000 00FFFF000000001FF8000030317BAF3A>I 114 D<003FC00C00FFF81C03FFFE3C0FE03FFC1F8007FC1F0003FC3E0001FC7C0000FC7C 00007CF800007CF800003CF800003CF800003CFC00001CFC00001CFE00001CFF0000007F 8000007FE000007FFE00003FFFE0001FFFFE000FFFFF8007FFFFE001FFFFF0007FFFF800 0FFFFC0000FFFC000007FE000001FE000000FE0000007F0000003FE000003FE000001FE0 00001FE000001FF000001FF000001FF000001EF800003EFC00003CFE00007CFF0000F8FF C001F0FBF807E0F1FFFFC0E07FFF00C007FC0020317BAF2A>I117 D<7FFFF001FFFE007FFFF001FFFE007FFFF001FFFE0003FFC000 FFE00000FF80007F8000007F80007E0000007F80007C0000003FC000780000001FE000F0 0000000FF000E00000000FF001E000000007F803C000000003FC038000000003FC078000 000001FE0F0000000000FF1E00000000007F9C00000000007FBC00000000003FF8000000 00001FF000000000001FF000000000000FF0000000000007F8000000000003F800000000 0007FC00000000000FFE00000000001EFF00000000001CFF00000000003C7F8000000000 783FC000000000703FC000000000F01FE000000001E00FF000000003C007F80000000380 07F8000000078003FC0000000F0001FE0000000E0001FE0000001E0000FF0000003C0000 7F8000007C00003FC00000FC00003FC00003FC00003FE0000FFE00007FF800FFFF0001FF FFC0FFFF0001FFFFC0FFFF0001FFFFC0322F7DAE38>120 D E /FL 33 124 df<0007C0000FE0001FF0003FF8007FF800FFF800FFF801FFF803FFF007FFF00F FFC00FFF801FFE003FF8007FE000FF8000FE00007C0000300000151369C538>19 D<07C01FF03FF87FFCFFFCFFFEFFFEFFFFFFFFFFFFFFFF7FFF3FFF1FFF07CF000F000F00 1F001E001E003E003E003C007C00F800F801F003F003E007C01F801F001E000C00102278 8E1F>44 D<07C01FF03FF87FFCFFFEFFFEFFFEFFFEFFFEFFFEFFFE7FFC3FF81FF007C00F 0F788E1F>46 D<000003C000000007C00000001FC00000007FC0000003FFC000003FFFC0 00FFFFFFC000FFFFFFC000FFFFFFC000FFFFFFC000FFC3FFC0000003FFC0000003FFC000 0003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC00000 03FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003 FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FF C0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0 000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC000 0003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC0000003FFC00000 03FFC0000003FFC0000003FFC0000003FFC000FFFFFFFFFCFFFFFFFFFCFFFFFFFFFCFFFF FFFFFCFFFFFFFFFC264177C038>49 D<0000FFE00000000FFFFE0000003FFFFF800000FF FFFFE00003FFFFFFF80007FC03FFFE000FE0007FFF001F80003FFF803F00000FFFC07F00 0007FFC07FC00007FFE07FF00003FFE0FFF00001FFF0FFF80001FFF0FFF80001FFF8FFF8 0000FFF8FFF80000FFF8FFF80000FFF8FFF80000FFF87FF00000FFF83FE00000FFF81FC0 0000FFF800000000FFF800000000FFF000000001FFF000000001FFF000000001FFE00000 0003FFE000000003FFC000000007FF800000000FFF000000000FFF000000001FFC000000 003FF8000000003FF0000000007FE000000000FFC000000001FF0000000003FE00000000 07FC000000000FF0000000001FE0000000003F80000000007F0000780000FE0000780001 FC0000780003F80000F80007E00000F0000FC00000F0001F800000F0003F000000F0007C 000001F000F8000003F001FFFFFFFFF003FFFFFFFFE007FFFFFFFFE00FFFFFFFFFE01FFF FFFFFFE03FFFFFFFFFE07FFFFFFFFFE0FFFFFFFFFFE0FFFFFFFFFFC0FFFFFFFFFFC0FFFF FFFFFFC0FFFFFFFFFFC02D417BC038>I<0000FFF000000007FFFF0000001FFFFFC00000 7FFFFFF00000FF007FF80003F8003FFE0007E0001FFF0007E0000FFF000FF80007FF800F FE0007FF801FFE0007FFC01FFF0007FFC01FFF0007FFC01FFF0007FFC01FFF0007FFC01F FF0007FFC01FFF0007FFC00FFE0007FFC007FC0007FF8003F8000FFF800000000FFF0000 00001FFF000000001FFE000000003FFC000000007FF800000000FFF000000001FFE00000 000FFF80000007FFFE00000007FFF800000007FFFF00000007FFFFC000000000FFF00000 00003FFC000000000FFE000000000FFF8000000007FF8000000003FFC000000003FFE000 000003FFE000000001FFF000000001FFF000000001FFF800000001FFF800000001FFF80F C00001FFF83FF00001FFF87FF80001FFF87FF80001FFF8FFFC0001FFF8FFFC0001FFF8FF FC0001FFF0FFFC0001FFF0FFFC0003FFF0FFFC0003FFE07FF80003FFE07FF00007FFC07F E00007FFC03F80000FFF801FF0001FFF000FFE00FFFE0007FFFFFFF80001FFFFFFF00000 7FFFFFC000001FFFFE00000001FFE000002D427BC038>I<000000003F0000000000003F 0000000000007F000000000000FF000000000001FF000000000003FF000000000003FF00 0000000007FF00000000000FFF00000000001FFF00000000003FFF00000000003FFF0000 0000007FFF0000000000FFFF0000000001F7FF0000000003E7FF0000000007E7FF000000 0007C7FF000000000F87FF000000001F07FF000000003E07FF000000007E07FF00000000 7C07FF00000000F807FF00000001F007FF00000003E007FF00000007E007FF00000007C0 07FF0000000F8007FF0000001F0007FF0000003E0007FF0000007C0007FF0000007C0007 FF000000F80007FF000001F00007FF000003E00007FF000007C00007FF00000FC00007FF 00000F800007FF00001F000007FF00003E000007FF00007C000007FF0000FC000007FF00 00FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80FFFFFFFFFFFF80 0000000FFF00000000000FFF00000000000FFF00000000000FFF00000000000FFF000000 00000FFF00000000000FFF00000000000FFF00000000000FFF00000000000FFF00000000 000FFF00000000000FFF000000007FFFFFFF8000007FFFFFFF8000007FFFFFFF8000007F FFFFFF8000007FFFFFFF8031417DC038>I68 DI76 D80 D82 D<0001FFE0000000001F FFFE000000007FFFFF80000001FFFFFFE0000003FE007FF8000007FC001FFC000007FE00 0FFE00000FFF0007FF00000FFF0007FF00000FFF0003FF80000FFF0003FF80000FFF0003 FF80000FFF0001FFC00007FE0001FFC00003FC0001FFC00000F00001FFC00000000001FF C00000000001FFC00000000001FFC00000000001FFC000000003FFFFC0000000FFFFFFC0 000007FFFFFFC000003FFFF1FFC00000FFFC01FFC00003FFE001FFC0000FFF8001FFC000 1FFE0001FFC0003FFC0001FFC0003FF80001FFC0007FF80001FFC0007FF00001FFC000FF F00001FFC000FFE00001FFC000FFE00001FFC000FFE00001FFC000FFE00003FFC000FFE0 0003FFC000FFF00007FFC0007FF8000FFFC0007FF8001FFFF0003FFE003EFFFFC01FFF80 FC7FFFC007FFFFF87FFFC003FFFFE01FFFC0007FFF8007FFC0000FFC00000000322F7DAD 36>97 D<00003FFC00000001FFFFC000000FFFFFF000003FFFFFFC00007FF003FE0000FF C001FF0003FF8003FF0007FF0007FF8007FE0007FF800FFE0007FF801FFC0007FF801FFC 0007FF803FF80007FF803FF80003FF007FF80001FE007FF8000078007FF0000000007FF0 00000000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF0 00000000FFF000000000FFF000000000FFF000000000FFF000000000FFF000000000FFF0 000000007FF8000000007FF8000000007FF8000000003FF8000000003FFC000003C03FFC 000003C01FFE000007C00FFE000007800FFF00000F8007FF80001F0003FFC0003E0001FF F0007C00007FFC03F800003FFFFFF000000FFFFFC0000003FFFF000000003FF800002A2F 7CAD32>99 D<0000000003FE0000000007FFFE0000000007FFFE0000000007FFFE000000 0007FFFE0000000007FFFE00000000001FFE00000000000FFE00000000000FFE00000000 000FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE0000000000 0FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000F FE00000000000FFE00000000000FFE00000000000FFE00000000000FFE0000003FE00FFE 000003FFFC0FFE00000FFFFF8FFE00003FFFFFCFFE0000FFF807FFFE0001FFC001FFFE00 03FF80007FFE0007FF00003FFE000FFE00001FFE000FFC00000FFE001FFC00000FFE003F F800000FFE003FF800000FFE003FF800000FFE007FF800000FFE007FF000000FFE007FF0 00000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000 000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF00000 0FFE00FFF000000FFE00FFF000000FFE007FF000000FFE007FF000000FFE007FF000000F FE007FF800000FFE003FF800000FFE003FF800000FFE001FFC00001FFE001FFC00001FFE 000FFE00003FFE0007FE00007FFE0003FF0000FFFF0001FFC003FFFFFC00FFF01FEFFFFC 007FFFFF8FFFFC001FFFFE0FFFFC0007FFF80FFFFC00007FC00FF80036467CC43E>I<00 003FF800000003FFFF8000000FFFFFE000003FFFFFF000007FF83FF80000FFC007FC0001 FF8003FE0003FF0001FF0007FE0000FF800FFC0000FF801FFC00007FC01FF800007FC03F F800003FE03FF800003FE07FF800003FE07FF000003FE07FF000003FF07FF000001FF0FF F000001FF0FFF000001FF0FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF0FFFFFFFFFFF0FF F000000000FFF000000000FFF000000000FFF000000000FFF0000000007FF0000000007F F0000000007FF8000000007FF8000000003FF8000000003FF8000000F01FFC000000F01F FC000001F00FFE000001E007FF000003E003FF800007C001FFC0000F8000FFF0003F0000 7FFE01FE00001FFFFFFC000007FFFFF0000001FFFFC00000001FFE00002C2F7DAD33>I< 000000FF8000000FFFE000007FFFF00001FFFFF80003FF8FFC000FFE0FFE001FFC1FFE00 1FF81FFE003FF81FFE007FF01FFE007FF01FFE007FF00FFC00FFE00FFC00FFE003F000FF E000C000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0 000000FFE0000000FFE0000000FFE0000000FFE00000FFFFFFF800FFFFFFF800FFFFFFF8 00FFFFFFF800FFFFFFF80000FFE0000000FFE0000000FFE0000000FFE0000000FFE00000 00FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000 FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FF E0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0 000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE000 007FFFFFE0007FFFFFE0007FFFFFE0007FFFFFE0007FFFFFE00027467DC522>I<0000FF E0007E00000FFFFE03FF80003FFFFF8FFF8000FFFFFFFFFFC001FFC07FFF3FC003FF001F F83FC007FE000FFC3FC00FFC0007FE1F801FFC0007FF0F001FF80003FF00001FF80003FF 00003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80003FF80 003FF80003FF80003FF80003FF80003FF80003FF80001FF80003FF00001FF80003FF0000 1FFC0007FF00000FFC0007FE000007FE000FFC000003FF001FF8000001FFC07FF0000003 FFFFFFE0000003FFFFFF800000078FFFFE0000000780FFE00000000F8000000000000F80 00000000000F8000000000000F8000000000000FC000000000000FE000000000000FF000 000000000FFFFFFFC000000FFFFFFFFC000007FFFFFFFF800007FFFFFFFFE00003FFFFFF FFF00001FFFFFFFFFC0000FFFFFFFFFC0003FFFFFFFFFE000FFFFFFFFFFF001FF000007F FF003FC0000007FF007F80000001FF807F80000000FF80FF00000000FF80FF000000007F 80FF000000007F80FF000000007F80FF000000007F80FF80000000FF807F80000000FF00 7FC0000001FF003FE0000003FE001FF0000007FC000FFE00003FF80007FFC001FFF00001 FFFFFFFFC000007FFFFFFF0000000FFFFFF8000000007FFF00000032427DAC38>I<007F C000000000FFFFC000000000FFFFC000000000FFFFC000000000FFFFC000000000FFFFC0 0000000003FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC000 00000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC00000 000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC0000000 0001FFC00000000001FFC00000000001FFC00000000001FFC007FE000001FFC03FFF8000 01FFC0FFFFE00001FFC1FFFFF80001FFC7F03FFC0001FFCF801FFC0001FFDF000FFE0001 FFDE000FFE0001FFFC000FFE0001FFF80007FF0001FFF00007FF0001FFF00007FF0001FF E00007FF0001FFE00007FF0001FFE00007FF0001FFC00007FF0001FFC00007FF0001FFC0 0007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC000 07FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007 FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF 0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF00 01FFC00007FF0001FFC00007FF00FFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83FFFFFEFF FFFF83FFFFFEFFFFFF83FFFFFE37457CC43E>I<007C0001FF0003FF8007FFC007FFC00F FFE00FFFE00FFFE00FFFE00FFFE007FFC007FFC003FF8001FF00007C0000000000000000 0000000000000000000000000000000000000000000000007FC07FFFC07FFFC07FFFC07F FFC07FFFC003FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001 FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001 FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC001FFC0FF FFFFFFFFFFFFFFFFFFFFFFFFFFFF18467CC520>I<007FC000FFFFC000FFFFC000FFFFC0 00FFFFC000FFFFC00003FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0 0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0 0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0 0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0 0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0 0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC00001FFC0 0001FFC00001FFC00001FFC00001FFC00001FFC00001FFC000FFFFFF80FFFFFF80FFFFFF 80FFFFFF80FFFFFF8019457CC420>108 D<007F8007FE00000FFC0000FFFF803FFFC000 7FFF8000FFFF80FFFFF001FFFFE000FFFF81FFFFF803FFFFF000FFFF87F01FFC0FE03FF8 00FFFF8FC00FFE1F801FFC0003FF9F000FFF3E001FFE0001FF9E0007FF3C000FFE0001FF BC0007FF78000FFE0001FFF80003FFF00007FF0001FFF80003FFF00007FF0001FFF00003 FFE00007FF0001FFE00003FFC00007FF0001FFE00003FFC00007FF0001FFE00003FFC000 07FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF00 01FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC0 0003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF 800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007 FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001 FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC000 03FF800007FF0001FFC00003FF800007FF0001FFC00003FF800007FF0001FFC00003FF80 0007FF0001FFC00003FF800007FF0001FFC00003FF800007FF00FFFFFF81FFFFFF03FFFF FEFFFFFF81FFFFFF03FFFFFEFFFFFF81FFFFFF03FFFFFEFFFFFF81FFFFFF03FFFFFEFFFF FF81FFFFFF03FFFFFE572D7CAC5E>I<007F8007FE0000FFFF803FFF8000FFFF80FFFFE0 00FFFF81FFFFF800FFFF87F03FFC00FFFF8F801FFC0003FF9F000FFE0001FF9E000FFE00 01FFBC000FFE0001FFF80007FF0001FFF00007FF0001FFF00007FF0001FFE00007FF0001 FFE00007FF0001FFE00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FF C00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC0 0007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC000 07FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007 FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF 0001FFC00007FF00FFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83FFFFFEFFFFFF83FFFFFE FFFFFF83FFFFFE372D7CAC3E>I<00001FFC0000000001FFFFC000000007FFFFF0000000 1FFFFFFC0000007FF80FFF000000FFC001FF800001FF8000FFC00003FE00003FE00007FE 00003FF0000FFC00001FF8000FF800000FF8001FF800000FFC001FF800000FFC003FF800 000FFE003FF0000007FE007FF0000007FF007FF0000007FF007FF0000007FF007FF00000 07FF00FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007 FF80FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007FF80FFF0000007FF 807FF0000007FF007FF0000007FF007FF0000007FF007FF0000007FF003FF800000FFE00 3FF800000FFE001FF800000FFC001FFC00001FFC000FFC00001FF80007FE00003FF00007 FE00003FF00003FF8000FFE00001FFC001FFC000007FF80FFF0000003FFFFFFE0000000F FFFFF800000001FFFFC0000000001FFC000000312F7DAD38>I<007FC00FF80000FFFFC0 FFFF8000FFFFC3FFFFE000FFFFCFFFFFF800FFFFDFC03FFC00FFFFFF001FFE0003FFFC00 07FF0001FFF80003FF8001FFF00003FFC001FFE00001FFE001FFC00001FFE001FFC00000 FFF001FFC00000FFF001FFC000007FF801FFC000007FF801FFC000007FF801FFC000007F F801FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC 01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01FFC000003FFC01 FFC000003FFC01FFC000003FFC01FFC000007FF801FFC000007FF801FFC000007FF801FF C000007FF001FFC00000FFF001FFC00000FFF001FFC00001FFE001FFE00001FFC001FFF0 0003FFC001FFF80007FF8001FFFC000FFF0001FFFE001FFE0001FFDFC07FFC0001FFCFFF FFF00001FFC3FFFFC00001FFC0FFFF000001FFC01FF0000001FFC00000000001FFC00000 000001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC0000000 0001FFC00000000001FFC00000000001FFC00000000001FFC00000000001FFC000000000 01FFC000000000FFFFFF80000000FFFFFF80000000FFFFFF80000000FFFFFF80000000FF FFFF8000000036407DAC3E>I<00003FE0001E000003FFFC003E00000FFFFF007E00003F FFFF807E0000FFF80FE0FE0001FFE003F1FE0003FFC001F1FE0007FF8000FBFE000FFF00 007FFE000FFE00003FFE001FFE00001FFE003FFC00001FFE003FFC00000FFE003FF80000 0FFE007FF800000FFE007FF800000FFE007FF800000FFE00FFF000000FFE00FFF000000F FE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE 00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00FFF000000FFE00 7FF800000FFE007FF800000FFE007FF800000FFE007FF800000FFE003FFC00000FFE003F FC00000FFE001FFE00001FFE001FFE00003FFE000FFF00007FFE0007FF0000FFFE0003FF 8001FFFE0001FFE003EFFE0000FFF01FCFFE00007FFFFF8FFE00001FFFFE0FFE000003FF F80FFE0000007FC00FFE00000000000FFE00000000000FFE00000000000FFE0000000000 0FFE00000000000FFE00000000000FFE00000000000FFE00000000000FFE00000000000F FE00000000000FFE00000000000FFE00000000000FFE00000000000FFE0000000007FFFF FC00000007FFFFFC00000007FFFFFC00000007FFFFFC00000007FFFFFC36407CAC3B>I< 007F807F00FFFF81FFE0FFFF83FFF0FFFF8FFFF8FFFF8F8FFCFFFF9F1FFE03FFBE1FFE01 FFBC1FFE01FFF81FFE01FFF81FFE01FFF01FFE01FFF00FFC01FFE007F801FFE001E001FF E0000001FFE0000001FFE0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0 000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC000 0001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC0000001FFC00000 01FFC0000001FFC0000001FFC0000001FFC00000FFFFFFE000FFFFFFE000FFFFFFE000FF FFFFE000FFFFFFE000272D7DAC2E>I<001FFC038000FFFF878003FFFFFF800FFFFFFF80 1FF003FF803FC000FF803F80003F807F00001F807E00001F80FE00000F80FE00000F80FE 00000780FF00000780FF00000780FF80000780FFE0000000FFFE0000007FFFF000007FFF FF00003FFFFFC0003FFFFFF0001FFFFFFC000FFFFFFE0003FFFFFF0001FFFFFF80007FFF FF80000FFFFFC000003FFFC0000003FFE0000000FFE0F000003FE0F000003FE0F800001F E0F800000FE0F800000FE0FC00000FE0FC00000FE0FE00000FC0FF00001FC0FF00001FC0 FF80003F80FFE0007F00FFF803FE00FFFFFFFC00FCFFFFF800F03FFFE000E007FE000023 2F7CAD2C>I<0001E000000001E000000001E000000001E000000001E000000003E00000 0003E000000003E000000003E000000007E000000007E00000000FE00000000FE0000000 1FE00000001FE00000003FE00000007FE0000000FFE0000003FFE000000FFFFFFF80FFFF FFFF80FFFFFFFF80FFFFFFFF80FFFFFFFF8000FFE0000000FFE0000000FFE0000000FFE0 000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE000 0000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE0000000FFE00000 00FFE0000000FFE0000000FFE0000000FFE001E000FFE001E000FFE001E000FFE001E000 FFE001E000FFE001E000FFE001E000FFE001E000FFE001E000FFE003E000FFF003C0007F F003C0007FF007C0003FF80F80001FFC1F00000FFFFF000007FFFC000001FFF80000003F E00023407EBE2C>I<007FC00001FF00FFFFC003FFFF00FFFFC003FFFF00FFFFC003FFFF 00FFFFC003FFFF00FFFFC003FFFF0003FFC0000FFF0001FFC00007FF0001FFC00007FF00 01FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001 FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FF C00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC0 0007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC000 07FF0001FFC00007FF0001FFC00007FF0001FFC00007FF0001FFC0000FFF0001FFC0000F FF0001FFC0001FFF0001FFC0001FFF0001FFC0003FFF0000FFC0003FFF0000FFE0007FFF 80007FE001F7FFFE007FF807E7FFFE003FFFFFC7FFFE000FFFFF07FFFE0003FFFE07FFFE 00007FF007FC00372E7CAC3E>II<1FFFFFFFFF801FFFFFFFFF801FFFFFFFFF801FFFFFFFFF801FFC001FFF001F E0003FFE001FC0003FFE001F80007FFC001F0000FFF8003F0001FFF0003E0001FFF0003E 0003FFE0003E0007FFC0003C000FFF80003C000FFF80003C001FFF00003C003FFE00003C 007FFC000000007FFC00000000FFF800000001FFF000000003FFE000000003FFE0000000 07FFC00000000FFF800780001FFF000780001FFF000780003FFE000780007FFC000F8000 FFF8000F0000FFF8000F0001FFF0000F0003FFE0001F0007FFC0001F0007FFC0001F000F FF80003F001FFF00007F003FFE0000FF003FFE0003FF007FFC001FFE00FFFFFFFFFE00FF FFFFFFFE00FFFFFFFFFE00FFFFFFFFFE00292C7DAB32>122 DI E end %%EndProlog %%BeginSetup %%Feature: *Resolution 600dpi TeXDict begin %%PaperSize: A4 %%EndSetup %%Page: 1 1 1 0 bop 325 635 a FL(Discrete)36 b(Lagrangian)j(reduction,)d(discrete)h (Euler{P)m(oincar)n(\023)-54 b(e)35 b(equations,)1355 748 y(and)k(semidirect)c(pro)s(ducts)998 1178 y FK(Alexander)d(I.)17 b(Bobenk)n(o)2018 1145 y FJ(1)2086 1178 y FI(and)30 b FK(Yuri)k(B.)17 b(Suris)2861 1145 y FJ(2)832 1390 y FI(F)-8 b(ac)m(h)m(b)s(ereic)m(h)31 b(Mathematik,)h(T)-8 b(ec)m(hnisc)m(he)30 b(Univ)m(ersit\177)-45 b(at)30 b(Berlin,)1138 1503 y(Str.)40 b(17)31 b(Juni)d(136,)k(10623)h(Berlin,)c(German)m(y)1766 1920 y FH(Abstract)352 2072 y FG(A)41 b(discrete)g(v)n(ersion)f(of)h (Lagrangian)e(reduction)i(is)g(dev)n(elop)r(ed)g(in)g(the)h(con)n(text) f(of)g(discrete)g(time)227 2171 y(Lagrangian)22 b(systems)h(on)h FF(G)11 b FE(\002)g FF(G)p FG(,)25 b(where)f FF(G)g FG(is)g(a)f(Lie)h (group.)35 b(W)-7 b(e)24 b(consider)f(the)h(case)f(when)i(the)f (Lagrange)227 2271 y(function)34 b(is)f(in)n(v)-5 b(arian)n(t)32 b(with)i(resp)r(ect)f(to)g(the)g(action)g(of)g(an)g(isotrop)n(y)f (subgroup)g(of)h(a)g(\014xed)g(elemen)n(t)g(in)227 2371 y(the)k(represen)n(tation)d(space)i(of)g FF(G)p FG(.)63 b(In)37 b(this)f(con)n(text)g(the)h(reduction)f(of)g(the)h(discrete)e (Euler{Lagrange)227 2470 y(equations)e(is)g(sho)n(wn)f(to)i(lead)f(to)g (the)h(so)e(called)h(discrete)g(Euler{P)n(oincar)n(\023)-39 b(e)29 b(equations.)53 b(A)34 b(constrained)227 2570 y(v)-5 b(ariational)34 b(principle)i(is)g(deriv)n(ed.)60 b(The)36 b(Legendre)e(transformation)g(of)i(the)g(discrete)f(Euler{P)n (oincar)n(\023)-39 b(e)227 2670 y(equations)23 b(leads)g(to)g(discrete) g(Hamiltonian)g(\(Lie{P)n(oisson\))f(systems)h(on)g(a)g(dual)g(space)g (to)h(a)f(semipro)r(duct)227 2769 y(Lie)28 b(algebra.)p 0 5091 1560 4 v 104 5145 a FD(1)138 5176 y FC(E{mail:)35 b FB(bobenko)28 b FC(@)d FB(math.tu-berlin.de)104 5236 y FD(2)138 5268 y FC(E{mail:)35 b FB(suris)27 b FC(@)e FB(sfb288.math.tu-berlin.de)1926 5517 y FI(1)p eop %%Page: 2 2 2 1 bop 0 635 a FA(1)135 b(In)l(tro)t(duction)0 838 y FI(Dynamical)27 b(systems)h(with)e(symmetry)h(pla)m(y)g(an)h(imp)s (ortan)m(t)f(role)g(in)f(mathematical)i(mo)s(delling)d(of)j(a)g(v)-5 b(ast)28 b(v)-5 b(a-)0 951 y(riet)m(y)32 b(of)g(ph)m(ysical)f(and)g (mec)m(hanical)h(pro)s(cesses.)45 b(A)32 b(Hamiltonian)e(approac)m(h)i (to)h(suc)m(h)e(systems)h(is)f(no)m(w)m(ada)m(ys)0 1063 y(a)f(w)m(ell{established)e(theory)h([A],)i([AM],)g([CB],)f([MR],)h ([MR)-10 b(W],)31 b([RSTS].)e(More)h(recen)m(tly)-8 b(,)31 b(also)f(a)g(v)-5 b(ariational)0 1176 y(\(Lagrangian\))32 b(description)e(of)i(systems)f(with)g(symmetries)g(also)g(attracted)j (m)m(uc)m(h)e(atten)m(tion)g([MS],)g([HMR],)0 1289 y([CHMR].)42 b(In)f(particular,)h(in)e(the)i(last)f(t)m(w)m(o)i(pap)s(ers)d(the)i (corresp)s(onding)d(theory)j(w)m(as)f(dev)m(elop)s(ed)g(for)g(La-)0 1402 y(grangian)27 b(systems)h(on)g(Lie)f(groups,)h(i.e.)40 b(for)27 b(Lagrangians)h(de\014ned)f(on)g(tangen)m(t)j(bundles)25 b Fz(T)13 b(G)27 b FI(of)h(Lie)f(groups.)0 1515 y(A)33 b(symmetry)f(of)h(the)g(Lagrangian)f(with)g(resp)s(ect)g(to)i(a)f (subgroup)e(action)i(leads)f(to)h(a)g(reduced)f(system)h(on)f(a)0 1628 y(semidirect)d(pro)s(duct)g(describ)s(ed)g(b)m(y)h(the)g(so)h (called)f(Euler{P)m(oincar)m(\023)-43 b(e)30 b(equation.)141 1741 y(In)d(the)g(presen)m(t)h(pap)s(er)e(w)m(e)i(dev)m(elop)f(a)h (discrete)f(analog)g(of)h(this)e(theory)-8 b(,)29 b(i.e.)39 b(for)28 b(Lagrangians)f(de\014ned)f(on)0 1854 y Fz(G)d Fy(\002)f Fz(G)p FI(.)54 b(W)-8 b(e)36 b(in)m(tro)s(duce)e(the)h (corresp)s(onding)d(reduced)i(systems)h(and)f(deriv)m(e)h(the)g (discrete)f(Euler{P)m(oincar)m(\023)-43 b(e)0 1967 y(equations.)66 b(W)-8 b(e)40 b(establish)d(symplectic)h(prop)s(erties)f(of)i(the)g (corresp)s(onding)e(discrete)h(dynamical)f(systems.)0 2080 y(The)f(con)m(tin)m(uous)h(time)g(theory)g(ma)m(y)h(b)s(e)e (considered)g(as)h(a)g(limiting)d(case)k(of)g(the)f(discrete)g(time)f (one.)61 b(The)0 2193 y(imp)s(ortan)m(t)21 b(particular)f(case,)25 b(when)c(the)h(represen)m(tation)g(of)g Fz(G)f FI(participating)f(in)h (the)h(general)g(theory)g(is)f(c)m(hosen)0 2305 y(to)31 b(b)s(e)f(the)g(adjoin)m(t)g(represen)m(tation,)h(is)f(dev)m(elop)s(ed) f(in)g([BS].)0 2590 y FA(2)135 b(Lagrangian)46 b(mec)l(hanics)f(on)g Fx(T)16 b(G)45 b FA(and)g(on)f Fx(G)27 b Fw(\002)g Fx(G)0 2793 y FI(Recall)g(that)h(a)g(con)m(tin)m(uos)f(time)g(Lagrangian)g (system)h(is)e(de\014ned)g(b)m(y)h(a)h(smo)s(oth)f(function)f Fv(L)p FI(\()p Fz(g)s(;)k FI(_)-40 b Fz(g)5 b FI(\))41 b(:)f Fz(T)13 b(G)25 b Fy(7!)g Fu(R)0 2906 y FI(on)35 b(the)h(tangen)m(t)h(bundle)c(of)j(a)g(smo)s(oth)f(manifold)e Fz(G)p FI(.)56 b(The)35 b(function)f Fv(L)h FI(is)g(called)g(the)g Ft(L)-5 b(agr)g(ange)39 b(function)p FI(.)0 3019 y(W)-8 b(e)31 b(will)c(b)s(e)j(dealing)f(here)g(only)g(with)g(the)h(case)h (when)e Fz(G)h FI(carries)f(an)h(additional)e(structure)h(of)h(a)h Ft(Lie)h(grioup)p FI(.)0 3132 y(F)-8 b(or)31 b(an)f(arbitrary)g (function)f Fz(g)s FI(\()p Fz(t)p FI(\))41 b(:)g([)p Fz(t)1347 3146 y FJ(0)1386 3132 y Fz(;)15 b(t)1459 3146 y FJ(1)1499 3132 y FI(])25 b Fy(7!)h Fz(G)j FI(one)i(can)g(consider)e (the)i Ft(action)i(functional)1472 3384 y Fv(S)25 b FI(=)1651 3260 y Fs(Z)1742 3286 y Fr(t)1767 3295 y FD(1)1701 3466 y Fr(t)1726 3475 y FD(0)1821 3384 y Fv(L)p FI(\()p Fz(g)s FI(\()p Fz(t)p FI(\))p Fz(;)30 b FI(_)-40 b Fz(g)6 b FI(\()p Fz(t)p FI(\)\))p Fz(dt)26 b(:)1285 b FI(\(2.1\))0 3634 y(A)27 b(standard)f(argumen)m(t)h(sho)m(ws)f(that)i(the)f (functions)e Fz(g)s FI(\()p Fz(t)p FI(\))j(yielding)c(extrema)k(of)e (this)g(functional)f(\(in)h(the)h(class)0 3747 y(of)35 b(v)-5 b(ariations)35 b(preserving)f Fz(g)s FI(\()p Fz(t)1088 3761 y FJ(0)1128 3747 y FI(\))h(and)g Fz(g)s FI(\()p Fz(t)1494 3761 y FJ(1)1534 3747 y FI(\)\),)j(satisfy)d(with)f(necessit) m(y)h(the)h Ft(Euler{L)-5 b(agr)g(ange)39 b(e)-5 b(quations)p FI(.)56 b(In)0 3860 y(lo)s(cal)30 b(co)s(ordinates)g Fy(f)p Fz(g)789 3827 y Fr(i)818 3860 y Fy(g)h FI(on)f Fz(G)g FI(they)g(read:)1617 4043 y Fz(d)p 1600 4083 81 4 v 1600 4167 a(dt)1706 3976 y Fs(\022)1788 4043 y Fz(@)5 b Fv(L)p 1782 4083 129 4 v 1782 4167 a Fz(@)19 b FI(_)-39 b Fz(g)1881 4140 y Fr(i)1921 3976 y Fs(\023)2013 4104 y FI(=)2125 4043 y Fz(@)5 b Fv(L)p 2119 4083 V 2119 4167 a Fz(@)g(g)2218 4140 y Fr(i)2282 4104 y Fz(:)1404 b FI(\(2.2\))0 4344 y(The)41 b(action)g(functional)f Fz(S)46 b FI(is)40 b(indep)s(enden)m(t)f(of)i(the)g(c)m(hoice)h(of)g(lo)s(cal)e(co)s (ordinates,)k(and)c(th)m(us)h(the)h(Euler{)0 4457 y(Lagrange)31 b(equations)e(are)h(actually)f(co)s(ordinate)h(indep)s(enden)m(t)d(as)j (w)m(ell.)40 b(F)-8 b(or)30 b(a)g(co)s(ordinate{free)h(description)0 4570 y(in)e(the)i(language)f(of)h(di\013eren)m(tial)e(geometry)-8 b(,)32 b(see)f([A)q(],)f([MR)q(].)141 4683 y(In)m(tro)s(ducing)f(the)h (quan)m(tities)1596 4878 y(\005)25 b(=)g Fy(r)1871 4892 y FJ(_)-30 b Fr(g)1901 4878 y Fv(L)25 b Fy(2)g Fz(T)2141 4840 y Fq(\003)2128 4900 y Fr(g)2180 4878 y Fz(G)g(;)1409 b FI(\(2.3\))0 5073 y(one)31 b(de\014nes)e(the)i Ft(L)-5 b(e)g(gendr)g(e)34 b(tr)-5 b(ansformation)p FI(:)1370 5268 y(\()p Fz(g)s(;)29 b FI(_)-39 b Fz(g)5 b FI(\))25 b Fy(2)g Fz(T)13 b(G)25 b Fy(7!)g FI(\()p Fz(g)s(;)15 b FI(\005\))27 b Fy(2)e Fz(T)2367 5230 y Fq(\003)2406 5268 y Fz(G)g(:)1183 b FI(\(2.4\))1926 5517 y(2)p eop %%Page: 3 3 3 2 bop 0 635 a FI(If)33 b(it)g(is)g(in)m(v)m(ertible,)f(i.e.)50 b(if)c(_)-38 b Fz(g)37 b FI(can)c(b)s(e)g(expressed)g(through)g(\()p Fz(g)s(;)15 b FI(\005\),)36 b(then)d(the)h(the)g(Legendre)f (transformation)0 748 y(of)42 b(the)f(Euler{Lagrange)h(equations)f (\(2.2\))i(yield)d(a)i Ft(Hamiltonian)i(system)e FI(on)g Fz(T)2957 715 y Fq(\003)2996 748 y Fz(G)f FI(with)f(resp)s(ect)h(to)h (the)0 861 y(standard)30 b(symplectic)f(structure)h(on)g Fz(T)1409 828 y Fq(\003)1448 861 y Fz(G)g FI(and)g(with)f(the)i (Hamilton)e(function)1406 1055 y Fz(H)7 b FI(\()p Fz(g)s(;)15 b FI(\005\))28 b(=)c Fy(h)p FI(\005)p Fz(;)30 b FI(_)-40 b Fz(g)5 b Fy(i)21 b(\000)f Fv(L)p FI(\()p Fz(g)s(;)29 b FI(_)-39 b Fz(g)t FI(\))26 b Fz(;)1220 b FI(\(2.5\))0 1250 y(\(where,)30 b(of)h(course,)44 b(_)-38 b Fz(g)34 b FI(has)c(to)h(b)s(e)f(expressed)g(through)f(\()p Fz(g)s(;)15 b FI(\005\)\).)141 1363 y(W)-8 b(e)34 b(no)m(w)e(turn)f(to)i(the)g (discrete)f(time)g(analog)g(of)h(these)g(constructions,)f(in)m(tro)s (duced)f(in)g([V],)i([MV)q(].)47 b(Our)0 1476 y(presen)m(tation)29 b(is)e(an)i(adaptation)f(of)h(the)g(Moser{V)-8 b(eselo)m(v)31 b(construction)d(for)g(the)h(case)g(when)f(the)g(basic)g(mani-)0 1589 y(fold)23 b(is)g(a)i(Lie)e(group.)38 b(Almost)24 b(all)f(constructions)h(and)g(results)e(of)j(the)f(con)m(tin)m(uous)g (time)g(Lagrangian)g(mec)m(han-)0 1702 y(ics)34 b(ha)m(v)m(e)h(their)f (discrete)g(time)g(analogs.)53 b(The)34 b(only)g(exception)g(is)g(the)g (existence)h(of)g(the)f(\\energy")i(in)m(tegral)0 1815 y(\(2.5\).)141 1928 y(Let)29 b Fu(L)t FI(\()p Fz(g)t(;)24 b FI(^)-54 b Fz(g)10 b FI(\))41 b(:)f Fz(G)17 b Fy(\002)f Fz(G)28 b FI(b)s(e)g(a)h(smo)s(oth)f(function,)g(called)g(the)h (\(discrete)g(time\))f Ft(L)-5 b(agr)g(ange)33 b(function)p FI(.)40 b(F)-8 b(or)30 b(an)0 2041 y(arbitrary)f(sequence)i Fy(f)p Fz(g)852 2056 y Fr(k)921 2041 y Fy(2)24 b Fz(G;)41 b(k)28 b FI(=)d Fz(k)1362 2055 y FJ(0)1402 2041 y Fz(;)15 b(k)1489 2055 y FJ(0)1549 2041 y FI(+)20 b(1)p Fz(;)15 b(:)g(:)g(:)32 b(;)15 b(k)1949 2055 y FJ(1)1989 2041 y Fy(g)31 b FI(one)g(can)g(consider)e(the)h Ft(action)k(functional)1531 2324 y Fu(S)18 b FI(=)1704 2209 y Fr(k)1741 2218 y FD(1)1775 2209 y Fq(\000)p FJ(1)1719 2237 y Fs(X)1703 2435 y Fr(k)r FJ(=)p Fr(k)1834 2444 y FD(0)1882 2324 y Fu(L)t FI(\()p Fz(g)2016 2339 y Fr(k)2064 2324 y Fz(;)d(g)2147 2339 y Fr(k)r FJ(+1)2281 2324 y FI(\))26 b Fz(:)1344 b FI(\(2.6\))0 2612 y(Ob)m(viously)-8 b(,)48 b(the)e(sequences)g Fy(f)p Fz(g)1152 2627 y Fr(k)1195 2612 y Fy(g)g FI(deliv)m(ering)e(extrema)i (of)g(this)e(functional)g(\(in)h(the)g(class)h(of)g(v)-5 b(ariations)0 2725 y(preserving)29 b Fz(g)481 2740 y Fr(k)518 2749 y FD(0)587 2725 y FI(and)h Fz(g)807 2740 y Fr(k)844 2749 y FD(1)883 2725 y FI(\),)h(satisfy)e(with)g(necessit)m (y)i(the)g Ft(discr)-5 b(ete)33 b(Euler{L)-5 b(agr)g(ange)35 b(e)-5 b(quations)p FI(:)3415 2692 y FJ(3)1236 2919 y Fy(r)1312 2933 y FJ(1)1351 2919 y Fu(L)s FI(\()q Fz(g)1484 2934 y Fr(k)1533 2919 y Fz(;)15 b(g)1616 2934 y Fr(k)r FJ(+1)1749 2919 y FI(\))21 b(+)f Fy(r)1972 2933 y FJ(2)2011 2919 y Fu(L)t FI(\()p Fz(g)2144 2934 y Fr(k)r Fq(\000)p FJ(1)2283 2919 y Fz(;)15 b(g)2366 2934 y Fr(k)2410 2919 y FI(\))25 b(=)g(0)h Fz(:)1049 b FI(\(2.7\))0 3114 y(Here)22 b Fy(r)282 3128 y FJ(1)321 3114 y Fu(L)t FI(\()p Fz(g)t(;)j FI(^)-55 b Fz(g)10 b FI(\))22 b(\()p Fy(r)719 3128 y FJ(2)759 3114 y Fu(L)s FI(\()q Fz(g)s(;)j FI(^)-54 b Fz(g)9 b FI(\)\))23 b(denotes)f(the)g(gradien)m(t)f(of)h Fu(L)t FI(\()p Fz(g)t(;)i FI(^)-54 b Fz(g)10 b FI(\))22 b(with)e(resp)s(ect)i(to)g(the)g(\014rst)f(argumen)m(t)h Fz(g)k FI(\(resp.)0 3227 y(the)37 b(second)g(argumen)m(t)k(^)-49 b Fz(g)t FI(\).)61 b(So,)38 b(in)e(our)h(case,)i(when)d Fz(G)h FI(is)f(a)h(Lie)f(group)h(and)f(not)h(just)f(a)i(general)f(smo)s (oth)0 3340 y(manifold,)29 b(the)h(equation)h(\(2.7\))h(is)e(written)f (in)h(a)h(co)s(ordinate)f(free)h(form,)f(using)f(the)i(in)m(trinsic)d (notions)i(of)g(the)0 3453 y(Lie)e(theory)-8 b(.)40 b(As)29 b(p)s(oin)m(ted)e(out)h(ab)s(o)m(v)m(e,)i(an)f(in)m(v)-5 b(arian)m(t)27 b(form)m(ulation)g(of)i(the)f(Euler{Lagrange)g (equations)g(in)f(the)0 3566 y(con)m(tin)m(uous)k(time)g(case)h(is)f (more)g(sophisticated.)43 b(This)29 b(seems)j(to)g(underline)c(the)j (fundamen)m(tal)g(c)m(haracter)h(of)0 3679 y(discrete)e(Euler{Lagrange) h(equations.)141 3792 y(The)h(equation)f(\(2.7\))j(is)d(an)h(implicit)c (equation)k(for)g Fz(g)2033 3807 y Fr(k)r FJ(+1)2166 3792 y FI(.)45 b(In)31 b(general,)i(it)e(has)h(more)g(than)g(one)g (solution,)0 3905 y(and)41 b(therefore)g(de\014nes)g(a)g(corresp)s (ondence)g(\(m)m(ulti{v)-5 b(alued)39 b(map\))j(\()p Fz(g)2535 3920 y Fr(k)r Fq(\000)p FJ(1)2668 3905 y Fz(;)15 b(g)2751 3920 y Fr(k)2794 3905 y FI(\))44 b Fy(7!)f FI(\()p Fz(g)3085 3920 y Fr(k)3129 3905 y Fz(;)15 b(g)3212 3920 y Fr(k)r FJ(+1)3345 3905 y FI(\).)74 b(T)-8 b(o)41 b(discuss)0 4018 y(symplectic)29 b(prop)s(erties)g(of)i(this)e(corresp)s(ondence,)h (one)h(de\014nes:)1377 4212 y(\005)1445 4227 y Fr(k)1513 4212 y FI(=)25 b Fy(r)1685 4226 y FJ(2)1724 4212 y Fu(L)t FI(\()p Fz(g)1858 4227 y Fr(k)r Fq(\000)p FJ(1)1997 4212 y Fz(;)15 b(g)2080 4227 y Fr(k)2123 4212 y FI(\))26 b Fy(2)e Fz(T)2335 4175 y Fq(\003)2322 4235 y Fr(g)2356 4247 y Fp(k)2398 4212 y Fz(G)h(:)1191 b FI(\(2.8\))p 0 4306 1560 4 v 104 4360 a FD(3)138 4392 y FC(F)-6 b(or)23 b(the)g(notations)h(from)f(the)f(Lie)i(groups)f(theory)g(used)f(in)h (this)g(and)g(subsequen)n(t)f(sections)i(see)f(App)r(endix)e(B.)j(In)e (particular,)0 4483 y(for)27 b(an)f(arbitrary)g(smo)r(oth)g(function)g Fo(f)k FC(:)22 b Fo(G)g Fn(7!)g Fm(R)29 b FC(its)d(righ)n(t)g(Lie)h (deriv)l(ativ)n(e)e Fo(d)2324 4451 y Fl(0)2346 4483 y Fo(f)34 b FC(and)26 b(left)h(Lie)f(deriv)l(ativ)n(e)g Fo(d)-13 b(f)34 b FC(are)26 b(functions)h(from)0 4574 y Fo(G)f FC(in)n(to)f Fk(g)280 4543 y Fl(\003)342 4574 y FC(de\014ned)f(via)i(the)f(form)n(ulas)674 4765 y Fn(h)p Fo(d)-13 b(f)8 b FC(\()p Fo(g)s FC(\))p Fo(;)13 b(\021)s Fn(i)21 b FC(=)1118 4717 y Fo(d)p 1103 4748 71 4 v 1103 4816 a(d\017)1197 4765 y(f)8 b FC(\()p Fo(e)1308 4729 y Fp(\017\021)1372 4765 y Fo(g)s FC(\))1442 4657 y Fj(\014)1442 4702 y(\014)1442 4747 y(\014)1442 4791 y(\014)1466 4840 y Fp(\017)p FD(=0)1608 4765 y Fo(;)166 b Fn(h)p Fo(d)1878 4729 y Fl(0)1900 4765 y Fo(f)8 b FC(\()p Fo(g)s FC(\))p Fo(;)13 b(\021)s Fn(i)21 b FC(=)2288 4717 y Fo(d)p 2272 4748 V 2272 4816 a(d\017)2366 4765 y(f)8 b FC(\()p Fo(g)s(e)2517 4729 y Fp(\017\021)2580 4765 y FC(\))2610 4657 y Fj(\014)2610 4702 y(\014)2610 4747 y(\014)2610 4791 y(\014)2636 4840 y Fp(\017)p FD(=0)2777 4765 y Fo(;)167 b Fn(8)p Fo(\021)24 b Fn(2)d Fk(g)g Fo(;)0 4965 y FC(and)k(the)h(gradien)n(t)g Fn(r)p Fo(f)8 b FC(\()p Fo(g)s FC(\))20 b Fn(2)i Fo(T)941 4933 y Fl(\003)930 4978 y Fp(g)976 4965 y Fo(G)k FC(is)g(de\014ned)f (as)1355 5116 y Fn(r)p Fo(f)8 b FC(\()p Fo(g)s FC(\))20 b(=)h Fo(R)1724 5080 y Fl(\003)1723 5135 y Fp(g)1755 5121 y Fi(\000)p Fh(1)1850 5116 y Fo(d)-13 b(f)8 b FC(\()p Fo(g)s FC(\))21 b(=)g Fo(L)2176 5080 y Fl(\003)2176 5135 y Fp(g)2208 5121 y Fi(\000)p Fh(1)2302 5116 y Fo(d)2355 5080 y Fl(0)2377 5116 y Fo(f)8 b FC(\()p Fo(g)s FC(\))p Fo(:)1926 5517 y FI(3)p eop %%Page: 4 4 4 3 bop 0 635 a FI(Then)29 b(\(2.7\))k(ma)m(y)e(b)s(e)e(rewritten)h(as) g(the)h(follo)m(wing)e(system:)1434 753 y Fs(8)1434 835 y(<)1434 998 y(:)1556 826 y FI(\005)1624 841 y Fr(k)1692 826 y FI(=)c Fy(\000r)1935 840 y FJ(1)1974 826 y Fu(L)t FI(\()p Fz(g)2107 841 y Fr(k)2156 826 y Fz(;)15 b(g)2239 841 y Fr(k)r FJ(+1)2373 826 y FI(\))1556 1052 y(\005)1624 1067 y Fr(k)r FJ(+1)1782 1052 y FI(=)25 b Fy(r)1954 1066 y FJ(2)1994 1052 y Fu(L)s FI(\()q Fz(g)2127 1067 y Fr(k)2176 1052 y Fz(;)15 b(g)2259 1067 y Fr(k)r FJ(+1)2392 1052 y FI(\))3711 939 y(\(2.9\))0 1243 y(This)23 b(system)h(de\014nes)g(a)h (\(m)m(ultiv)-5 b(alued\))23 b(map)h(\()p Fz(g)1694 1258 y Fr(k)1737 1243 y Fz(;)15 b FI(\005)1845 1258 y Fr(k)1889 1243 y FI(\))25 b Fy(7!)g FI(\()p Fz(g)2143 1258 y Fr(k)r FJ(+1)2277 1243 y Fz(;)15 b FI(\005)2385 1258 y Fr(k)r FJ(+1)2518 1243 y FI(\))25 b(of)g Fz(T)2742 1210 y Fq(\003)2781 1243 y Fz(G)f FI(in)m(to)g(itself.)38 b(More)25 b(precisely)-8 b(,)0 1356 y(the)22 b(\014rst)g(equation)g(in)f(\(2.9\))j(is)d(an)h (implicit)d(equation)k(for)f Fz(g)2062 1371 y Fr(k)r FJ(+1)2195 1356 y FI(,)i(while)c(the)i(second)h(one)f(allo)m(ws)g(for)g (the)g(explicit)0 1469 y(and)36 b(unique)g(calculation)g(of)h(\005)1130 1484 y Fr(k)r FJ(+1)1263 1469 y FI(,)i(kno)m(wing)e Fz(g)1736 1484 y Fr(k)1816 1469 y FI(and)f Fz(g)2042 1484 y Fr(k)r FJ(+1)2175 1469 y FI(.)61 b(As)37 b(demonstrated)g(in)f([V)q(],)j([MV)q (],)g(this)d(map)0 1582 y Fz(T)66 1549 y Fq(\003)105 1582 y Fz(G)25 b Fy(7!)g Fz(T)384 1549 y Fq(\003)423 1582 y Fz(G)30 b FI(is)f(symplectic)h(with)f(resp)s(ect)h(to)h(the)g (standard)f(symplectic)f(structure)h(on)g Fz(T)3259 1549 y Fq(\003)3298 1582 y Fz(G)p FI(.)0 1867 y FA(3)135 b(Left)45 b(symmetry)h(reduction)0 2070 y FI(W)-8 b(e)25 b(w)m(an)m(t)g(to)g (consider)e(the)h(Lagrangian)g(reduction)f(pro)s(cedure,)i(in)e(the)h (case)h(when)e(the)i(Lagrange)g(function)e(is)0 2183 y(symmetric)29 b(with)f(resp)s(ect)i(to)g(the)g(action)g(of)g(a)g (certain)f(subgroup)f(of)i Fz(G)f FI(\(precise)g(form)m(ulations)g (will)e(follo)m(w\).)0 2296 y(It)32 b(turns)f(out)i(to)f(b)s(e)g(con)m (v)m(enien)m(t)h(to)g(p)s(erform)e(this)g(reduction)g(in)g(t)m(w)m(o)i (steps.)46 b(The)32 b(\014rst)f(one)i(of)f(them)g(is)f(not)0 2409 y(related)f(to)h(an)m(y)g(symmetry)-8 b(,)31 b(and)f(is)f(quite)h (general.)0 2650 y FL(3.1)112 b(Left)38 b(trivialization)0 2822 y FI(The)31 b(tangen)m(t)j(bundle)c Fz(T)13 b(G)31 b FI(do)s(es)g(not)i(app)s(ear)e(in)g(the)h(discrete)f(time)h(con)m (text)i(at)f(all.)44 b(On)31 b(the)i(con)m(trary)-8 b(,)33 b(the)0 2935 y(cotangen)m(t)f(bundle)c Fz(T)780 2902 y Fq(\003)819 2935 y Fz(G)h FI(still)f(pla)m(ys)h(an)h(imp)s(ortan)m(t) f(role)h(in)e(the)i(discrete)g(time)f(theory)-8 b(,)31 b(as)f(the)g(phase)g(space)0 3048 y(with)c(the)i(canonical)f(in)m(v)-5 b(arian)m(t)26 b(symplectic)h(structure.)39 b(When)27 b(w)m(orking)g(with)f(the)i(cotangen)m(t)i(bundle)25 b(of)i(the)0 3161 y(Lie)g(group,)g(it)g(is)f(con)m(v)m(enien)m(t)i(to)g (trivialize)e(it,)h(translating)f(all)g(co)m(v)m(ectors)k(to)e(the)g (group)e(unit)g(b)m(y)h(left)g(or)g(righ)m(t)0 3274 y(m)m (ultiplication.)45 b(This)31 b(subsection)g(is)h(dev)m(oted)i(to)f(the) g(constructions)f(related)h(to)h(the)e(left)h(trivialization)d(of)0 3387 y(the)h(cotangen)m(t)h(bundle)c Fz(T)937 3354 y Fq(\003)976 3387 y Fz(G)p FI(:)1176 3581 y(\()p Fz(g)1254 3596 y Fr(k)1298 3581 y Fz(;)15 b(M)1426 3596 y Fr(k)1469 3581 y FI(\))26 b Fy(2)e Fz(G)c Fy(\002)g Fg(g)1844 3543 y Fq(\003)1934 3581 y Fy(7!)50 b FI(\()p Fz(g)2153 3596 y Fr(k)2196 3581 y Fz(;)15 b FI(\005)2304 3596 y Fr(k)2348 3581 y FI(\))25 b Fy(2)g Fz(T)2560 3543 y Fq(\003)2599 3581 y Fz(G)g(;)990 b FI(\(3.1\))0 3775 y(where)1238 3969 y(\005)1306 3984 y Fr(k)1374 3969 y FI(=)25 b Fz(L)1532 3932 y Fq(\003)1532 4008 y Fr(g)1568 3978 y Fl(\000)p FD(1)1566 4032 y Fp(k)1655 3969 y Fz(M)1743 3984 y Fr(k)1902 3969 y Fy(,)116 b Fz(M)2197 3984 y Fr(k)2265 3969 y FI(=)25 b Fz(L)2423 3932 y Fq(\003)2423 3992 y Fr(g)2457 4004 y Fp(k)2498 3969 y FI(\005)2566 3984 y Fr(k)2634 3969 y Fz(:)1052 b FI(\(3.2\))0 4184 y(Consider)29 b(also)h(the)g(map)1113 4378 y(\()p Fz(g)1191 4393 y Fr(k)1234 4378 y Fz(;)15 b(W)1360 4393 y Fr(k)1403 4378 y FI(\))26 b Fy(2)f Fz(G)19 b Fy(\002)h Fz(G)50 b Fy(7!)h FI(\()p Fz(g)2074 4393 y Fr(k)2117 4378 y Fz(;)15 b(g)2200 4393 y Fr(k)r FJ(+1)2334 4378 y FI(\))25 b Fy(2)g Fz(G)20 b Fy(\002)g Fz(G)k(;)927 b FI(\(3.3\))0 4573 y(where)1223 4767 y Fz(g)1266 4782 y Fr(k)r FJ(+1)1424 4767 y FI(=)25 b Fz(g)1563 4782 y Fr(k)1606 4767 y Fz(W)1692 4782 y Fr(k)1851 4767 y Fy(,)116 b Fz(W)2144 4782 y Fr(k)2211 4767 y FI(=)25 b Fz(g)2353 4728 y Fq(\000)p FJ(1)2350 4796 y Fr(k)2448 4767 y Fz(g)2491 4782 y Fr(k)r FJ(+1)2650 4767 y Fz(:)1036 b FI(\(3.4\))0 4961 y(In)30 b(the)g(con)m(tin)m(uous)g(limit)e(the)j(elemen)m(ts)g Fz(W)1557 4976 y Fr(k)1630 4961 y FI(lie)e(in)g(a)i(neigh)m(b)s(orho)s (o)s(d)d(of)i(the)h(group)e(unit)g Fz(e)p FI(.)141 5074 y(Denote)j(the)f(pull{bac)m(k)e(of)h(the)h(Lagrange)g(function)e(under) g(\(3.3\))j(through)1412 5268 y Fu(L)1467 5230 y FJ(\()p Fr(l)r FJ(\))1554 5268 y FI(\()p Fz(g)1632 5283 y Fr(k)1675 5268 y Fz(;)15 b(W)1801 5283 y Fr(k)1844 5268 y FI(\))26 b(=)f Fu(L)s FI(\()q Fz(g)2134 5283 y Fr(k)2183 5268 y Fz(;)15 b(g)2266 5283 y Fr(k)r FJ(+1)2399 5268 y FI(\))26 b Fz(:)1226 b FI(\(3.5\))1926 5517 y(4)p eop %%Page: 5 5 5 4 bop 0 635 a FI(W)-8 b(e)44 b(w)m(an)m(t)f(to)g(\014nd)e (di\013erence)h(equations)g(satis\014ed)f(b)m(y)i(the)f(sequences)h Fy(f)p FI(\()p Fz(g)2774 650 y Fr(k)2818 635 y Fz(;)15 b(W)2944 650 y Fr(k)2987 635 y FI(\))g Fz(;)g(k)49 b FI(=)c Fz(k)3336 649 y FJ(0)3376 635 y Fz(;)15 b(:)g(:)g(:)31 b(;)15 b(k)3639 649 y FJ(1)3708 635 y Fy(\000)28 b FI(1)p Fy(g)0 748 y FI(deliv)m(ering)g(extrema)k(of)e(the)h(action)f (functional)1475 1035 y Fu(S)1532 997 y FJ(\()p Fr(l)q FJ(\))1632 1035 y FI(=)1728 920 y Fr(k)1765 929 y FD(1)1799 920 y Fq(\000)p FJ(1)1743 949 y Fs(X)1773 1146 y Fr(k)1810 1155 y FD(0)1905 1035 y Fu(L)1959 997 y FJ(\()q Fr(l)q FJ(\))2046 1035 y FI(\()p Fz(g)2124 1050 y Fr(k)2167 1035 y Fz(;)15 b(W)2293 1050 y Fr(k)2336 1035 y FI(\))26 b Fz(;)1289 b FI(\(3.6\))0 1345 y(and)31 b(satisfying)g Fz(W)671 1360 y Fr(k)742 1345 y FI(=)d Fz(g)887 1307 y Fq(\000)p FJ(1)884 1375 y Fr(k)982 1345 y Fz(g)1025 1360 y Fr(k)r FJ(+1)1158 1345 y FI(.)46 b(Admissible)28 b(v)-5 b(ariations)32 b(of)g Fy(f)p FI(\()p Fz(g)2341 1360 y Fr(k)2385 1345 y Fz(;)15 b(W)2511 1360 y Fr(k)2554 1345 y FI(\))p Fy(g)32 b FI(are)h(those)f(preserving)f(the)h(v)-5 b(alues)0 1458 y(of)33 b Fz(g)149 1473 y Fr(k)186 1482 y FD(0)258 1458 y FI(and)f Fz(g)480 1473 y Fr(k)517 1482 y FD(1)585 1458 y FI(=)d Fz(g)728 1473 y Fr(k)765 1482 y FD(1)800 1473 y Fq(\000)p FJ(1)894 1458 y Fz(W)980 1473 y Fr(k)1017 1482 y FD(1)1051 1473 y Fq(\000)p FJ(1)1145 1458 y FI(.)48 b(A)33 b(more)g(explicit)e(description)g(of)i (admissible)d(v)-5 b(ariations)32 b(is)g(giv)m(en)h(b)m(y)f(the)0 1571 y(follo)m(wing)d(statemen)m(t.)0 1759 y Fv(Lemma)k(3.1)46 b Ft(The)29 b(original)h(variational)h(pr)-5 b(oblem)31 b(for)f(the)f(functional)h Fu(S)21 b FI(\(2.6\))31 b Ft(is)e(e)-5 b(quivalent)29 b(to)h(\014nding)f(ex-)0 1872 y(tr)-5 b(emals)31 b(of)f(the)f(functional)h Fu(S)1048 1839 y FJ(\()p Fr(l)q FJ(\))1152 1872 y FI(\(3.6\))h Ft(with)f(admissible)g(variations)h Fy(f)p FI(\()s(~)-48 b Fz(g)2541 1887 y Fr(k)2585 1872 y Fz(;)2652 1849 y FI(~)2625 1872 y Fz(W)2711 1887 y Fr(k)2754 1872 y FI(\))p Fy(g)30 b Ft(of)f(the)h(se)-5 b(quenc)g(e)29 b Fy(f)p FI(\()p Fz(g)3604 1887 y Fr(k)3648 1872 y Fz(;)15 b(W)3774 1887 y Fr(k)3817 1872 y FI(\))p Fy(g)0 1984 y Ft(of)33 b(the)g(form)1101 2201 y FI(~)-48 b Fz(g)1141 2216 y Fr(k)1209 2201 y FI(=)25 b Fz(g)1348 2216 y Fr(k)1391 2201 y Fz(e)1433 2164 y Fr(\021)1468 2176 y Fp(k)1537 2201 y Fz(;)1789 2178 y FI(~)1763 2201 y Fz(W)1849 2216 y Fr(k)1917 2201 y FI(=)g Fz(W)2099 2216 y Fr(k)2141 2201 y Fz(e)2183 2164 y Fr(\021)2218 2176 y Fp(k)q FD(+1)2334 2164 y Fq(\000)p FJ(Ad)12 b Fr(W)2570 2134 y Fl(\000)p FD(1)2560 2187 y Fp(k)2652 2164 y Fq(\001)p Fr(\021)2707 2176 y Fp(k)2774 2201 y Fz(;)912 b FI(\(3.7\))0 2421 y Ft(wher)-5 b(e)34 b Fy(f)p Fz(\021)347 2436 y Fr(k)390 2421 y Fy(g)435 2381 y Fr(k)472 2390 y FD(1)435 2451 y Fr(k)r FJ(=)p Fr(k)566 2460 y FD(0)637 2421 y Ft(is)e(an)i(arbitr)-5 b(ary)34 b(se)-5 b(quenc)g(e)33 b(of)g(elements)g(of)g(the)g(Lie)f (algebr)-5 b(a)34 b Fg(g)e Ft(with)h Fz(\021)3140 2436 y Fr(k)3177 2445 y FD(0)3241 2421 y FI(=)25 b Fz(\021)3382 2436 y Fr(k)3419 2445 y FD(1)3483 2421 y FI(=)g(0)p Ft(.)0 2609 y Fv(Pro)s(of.)41 b FI(Ob)m(viously)-8 b(,)29 b(the)i(\014rst)e (form)m(ula)h(in)f(\(3.7\))j(giv)m(es)f(a)g(generic)f(v)-5 b(ariation)30 b(of)g Fz(g)2904 2624 y Fr(k)2947 2609 y FI(.)41 b(W)-8 b(e)31 b(ha)m(v)m(e:)904 2808 y(~)877 2831 y Fz(W)963 2846 y Fr(k)1031 2831 y FI(=)d(~)-48 b Fz(g)1173 2793 y Fq(\000)p FJ(1)1170 2860 y Fr(k)1271 2831 y FI(~)g Fz(g)1311 2846 y Fr(k)r FJ(+1)1469 2831 y FI(=)25 b Fz(e)1607 2793 y Fq(\000)p Fr(\021)1697 2805 y Fp(k)1740 2831 y Fz(W)1826 2846 y Fr(k)1869 2831 y Fz(e)1911 2793 y Fr(\021)1946 2805 y Fp(k)q FD(+1)2091 2831 y FI(=)g Fz(W)2273 2846 y Fr(k)2316 2831 y Fz(e)2358 2793 y Fq(\000)p FJ(Ad)12 b Fr(W)2594 2763 y Fl(\000)p FD(1)2584 2817 y Fp(k)2676 2793 y Fq(\001)p Fr(\021)2731 2805 y Fp(k)2773 2831 y Fz(e)2815 2793 y Fr(\021)2850 2805 y Fp(k)q FD(+1)2995 2831 y Fz(:)0 3035 y FI(Supp)s(osing)25 b(no)m(w)j(that)h(all)e Fz(\021)986 3050 y Fr(k)1056 3035 y FI(are)i(small)d(\(of)j(order)e Fz(\017)p FI(\),)i(w)m(e)g (\014nd,)e(in)g(the)h(\014rst)f(order)h(in)e Fz(\017)p FI(,)j(the)f(second)g(form)m(ula)0 3148 y(in)h(\(3.7\).)43 b(\(Clearly)-8 b(,)30 b(for)g(v)-5 b(ariational)29 b(purp)s(oses)f (only)i(the)h(\014rst)e(order)h(terms)g(are)h(essn)m(tial.\))p 3276 3148 71 71 v 0 3408 a Fv(Prop)s(osition)36 b(3.2)46 b Ft(The)33 b(di\013er)-5 b(enc)g(e)33 b(e)-5 b(quations)34 b(for)f(extr)-5 b(emals)34 b(of)f(the)g(functional)h Fu(S)3030 3375 y FJ(\()p Fr(l)q FJ(\))3138 3408 y Ft(r)-5 b(e)g(ad:)1057 3533 y Fs(8)1057 3615 y(<)1057 3779 y(:)1180 3608 y FI(Ad)1298 3571 y Fq(\003)1353 3608 y Fz(W)1452 3570 y Fq(\000)p FJ(1)1439 3637 y Fr(k)1566 3608 y Fy(\001)20 b Fz(M)1699 3623 y Fr(k)r FJ(+1)1858 3608 y FI(=)25 b Fz(M)2042 3623 y Fr(k)2105 3608 y FI(+)20 b Fz(d)2258 3575 y Fq(0)2246 3630 y Fr(g)2286 3608 y Fu(L)2341 3575 y FJ(\()p Fr(l)q FJ(\))2428 3608 y FI(\()p Fz(g)2506 3623 y Fr(k)2549 3608 y Fz(;)15 b(W)2675 3623 y Fr(k)2718 3608 y FI(\))26 b Fz(;)1180 3835 y(g)1223 3850 y Fr(k)r FJ(+1)1381 3835 y FI(=)f Fz(g)1520 3850 y Fr(k)1563 3835 y Fz(W)1649 3850 y Fr(k)1717 3835 y Fz(;)3711 3720 y FI(\(3.8\))0 4032 y Ft(wher)-5 b(e)1310 4236 y Fz(M)1398 4251 y Fr(k)1466 4236 y FI(=)25 b Fz(d)1624 4198 y Fq(0)1612 4258 y Fr(W)1693 4236 y Fu(L)1748 4198 y FJ(\()p Fr(l)q FJ(\))1835 4236 y FI(\()p Fz(g)1913 4251 y Fr(k)r Fq(\000)p FJ(1)2046 4236 y Fz(;)15 b(W)2172 4251 y Fr(k)r Fq(\000)p FJ(1)2305 4236 y FI(\))26 b Fy(2)f Fg(g)2498 4198 y Fq(\003)2562 4236 y Fz(:)1124 b FI(\(3.9\))0 4440 y Ft(If)32 b(the)h(\\L)-5 b(e)g(gendr)g(e)34 b(tr)-5 b(ansformation)c(")1039 4644 y FI(\()p Fz(g)1117 4659 y Fr(k)r Fq(\000)p FJ(1)1250 4644 y Fz(;)15 b(W)1376 4659 y Fr(k)r Fq(\000)p FJ(1)1509 4644 y FI(\))26 b Fy(2)f Fz(G)19 b Fy(\002)h Fz(G)50 b Fy(7!)h FI(\()p Fz(g)2180 4659 y Fr(k)2223 4644 y Fz(;)15 b(M)2351 4659 y Fr(k)2394 4644 y FI(\))26 b Fy(2)f Fz(G)19 b Fy(\002)h Fg(g)2769 4607 y Fq(\003)2834 4644 y Fz(;)806 b FI(\(3.10\))0 4849 y Ft(wher)-5 b(e)40 b Fz(g)306 4864 y Fr(k)386 4849 y FI(=)d Fz(g)537 4864 y Fr(k)r Fq(\000)p FJ(1)670 4849 y Fz(W)756 4864 y Fr(k)r Fq(\000)p FJ(1)889 4849 y Ft(,)j(is)f(invertible,)i(then)e FI(\(3.8\))i Ft(de\014nes)f(a)f(map)h FI(\()p Fz(g)2608 4864 y Fr(k)2652 4849 y Fz(;)15 b(M)2780 4864 y Fr(k)2823 4849 y FI(\))37 b Fy(7!)g FI(\()p Fz(g)3101 4864 y Fr(k)r FJ(+1)3235 4849 y Fz(;)15 b(M)3363 4864 y Fr(k)r FJ(+1)3496 4849 y FI(\))40 b Ft(which)g(is)0 4962 y(symple)-5 b(ctic)34 b(with)f(r)-5 b(esp)g(e)g(ct)34 b(to)g(the)f(fol)5 b(lowing)33 b(Poisson)h(br)-5 b(acket)33 b(on)g Fz(G)20 b Fy(\002)g Fg(g)2586 4929 y Fq(\003)2625 4962 y Ft(:)649 5166 y Fy(f)p Fz(f)739 5180 y FJ(1)778 5166 y Fz(;)15 b(f)863 5180 y FJ(2)902 5166 y Fy(g)26 b FI(=)f Fy(\000h)p Fz(d)1237 5128 y Fq(0)1225 5188 y Fr(g)1266 5166 y Fz(f)1311 5180 y FJ(1)1350 5166 y Fz(;)15 b Fy(r)1466 5180 y Fr(M)1545 5166 y Fz(f)1590 5180 y FJ(2)1629 5166 y Fy(i)20 b FI(+)g Fy(h)p Fz(d)1872 5128 y Fq(0)1860 5188 y Fr(g)1901 5166 y Fz(f)1946 5180 y FJ(2)1985 5166 y Fz(;)15 b Fy(r)2101 5180 y Fr(M)2181 5166 y Fz(f)2226 5180 y FJ(1)2265 5166 y Fy(i)20 b FI(+)g Fy(h)p Fz(M)5 b(;)15 b FI([)p Fy(r)2680 5180 y Fr(M)2760 5166 y Fz(f)2805 5180 y FJ(1)2844 5166 y Fz(;)g Fy(r)2960 5180 y Fr(M)3039 5166 y Fz(f)3084 5180 y FJ(2)3123 5166 y FI(])g Fy(i)26 b Fz(:)416 b FI(\(3.11\))1926 5517 y(5)p eop %%Page: 6 6 6 5 bop 0 635 a Fv(The)39 b(\014rst)g(pro)s(of.)52 b FI(The)34 b(simplest)e(w)m(a)m(y)k(to)e(deriv)m(e)g(\(3.8\))i(is)d(to)i (pull)d(bac)m(k)j(the)f(equations)g(\(2.7\))i(under)c(the)0 748 y(map)e(\(3.3\).)43 b(T)-8 b(o)30 b(do)h(this,)e(\014rst)h(rewrite) f(\(2.7\))k(as)1261 952 y Fz(d)1323 914 y Fq(0)1311 974 y FJ(1)1351 952 y Fu(L)s FI(\()q Fz(g)1484 967 y Fr(k)1533 952 y Fz(;)15 b(g)1616 967 y Fr(k)r FJ(+1)1749 952 y FI(\))21 b(+)f Fz(d)1958 914 y Fq(0)1946 974 y FJ(2)1986 952 y Fu(L)t FI(\()p Fz(g)2119 967 y Fr(k)r Fq(\000)p FJ(1)2258 952 y Fz(;)15 b(g)2341 967 y Fr(k)2385 952 y FI(\))25 b(=)g(0)h Fz(:)1028 b FI(\(3.12\))0 1156 y(W)-8 b(e)32 b(ha)m(v)m(e)f(to)g(express)f(these)h(Lie)f(deriv)-5 b(ativ)m(es)30 b(in)f(terms)h(of)g(\()p Fz(g)s(;)15 b(W)e FI(\).)42 b(The)30 b(answ)m(er)g(is)g(this:)1212 1360 y Fz(d)1274 1322 y Fq(0)1262 1382 y FJ(2)1302 1360 y Fu(L)s FI(\()q Fz(g)1435 1375 y Fr(k)r Fq(\000)p FJ(1)1574 1360 y Fz(;)15 b(g)1657 1375 y Fr(k)1700 1360 y FI(\))26 b(=)f Fz(d)1919 1322 y Fq(0)1907 1382 y Fr(W)1988 1360 y Fu(L)2043 1322 y FJ(\()p Fr(l)q FJ(\))2130 1360 y FI(\()p Fz(g)2208 1375 y Fr(k)r Fq(\000)p FJ(1)2341 1360 y Fz(;)15 b(W)2467 1375 y Fr(k)r Fq(\000)p FJ(1)2600 1360 y FI(\))26 b Fz(;)979 b FI(\(3.13\))969 1672 y Fz(d)1031 1634 y Fq(0)1019 1694 y FJ(1)1059 1672 y Fu(L)t FI(\()p Fz(g)1192 1687 y Fr(k)1241 1672 y Fz(;)15 b(g)1324 1687 y Fr(k)r FJ(+1)1458 1672 y FI(\))25 b(=)g Fz(d)1676 1634 y Fq(0)1664 1694 y Fr(g)1705 1672 y Fu(L)1760 1634 y FJ(\()p Fr(l)q FJ(\))1846 1672 y FI(\()p Fz(g)1924 1687 y Fr(k)1968 1672 y Fz(;)15 b(W)2094 1687 y Fr(k)2137 1672 y FI(\))20 b Fy(\000)g Fz(d)2330 1686 y Fr(W)2411 1672 y Fu(L)2466 1634 y FJ(\()p Fr(l)q FJ(\))2553 1672 y FI(\()p Fz(g)2631 1687 y Fr(k)2674 1672 y Fz(;)15 b(W)2800 1687 y Fr(k)2843 1672 y FI(\))26 b Fz(:)736 b FI(\(3.14\))0 1876 y(Indeed,)30 b(let)g(us)g(pro)m(v)m(e,)h(for)f(example,)h(the)f(\(less)g(ob)m (vious\))g(\(3.14\).)43 b(W)-8 b(e)32 b(ha)m(v)m(e:)491 2130 y Fy(h)p Fz(d)588 2092 y Fq(0)576 2152 y FJ(1)616 2130 y Fu(L)t FI(\()p Fz(g)750 2145 y Fr(k)798 2130 y Fz(;)15 b(g)881 2145 y Fr(k)r FJ(+1)1015 2130 y FI(\))p Fz(;)g(\021)s Fy(i)84 b FI(=)1450 2068 y Fz(d)p 1431 2109 85 4 v 1431 2192 a(d\017)1540 2130 y Fu(L)t FI(\()p Fz(g)1674 2145 y Fr(k)1722 2130 y Fz(e)1764 2092 y Fr(\017\021)1835 2130 y Fz(;)15 b(g)1918 2145 y Fr(k)r FJ(+1)2052 2130 y FI(\))2087 1998 y Fs(\014)2087 2052 y(\014)2087 2107 y(\014)2087 2161 y(\014)2118 2220 y Fr(\017)p FJ(=0)2266 2130 y FI(=)2400 2068 y Fz(d)p 2381 2109 V 2381 2192 a(d\017)2491 2130 y Fu(L)2545 2092 y FJ(\()q Fr(l)q FJ(\))2632 2130 y FI(\()p Fz(g)2710 2145 y Fr(k)2754 2130 y Fz(e)2796 2092 y Fr(\017\021)2867 2130 y Fz(;)g(e)2949 2092 y Fq(\000)p Fr(\017\021)3075 2130 y Fz(W)3161 2145 y Fr(k)3203 2130 y FI(\))3238 1998 y Fs(\014)3238 2052 y(\014)3238 2107 y(\014)3238 2161 y(\014)3269 2220 y Fr(\017)p FJ(=0)1257 2405 y FI(=)83 b Fy(h)p Fz(d)1508 2368 y Fq(0)1496 2428 y Fr(g)1537 2405 y Fu(L)1592 2368 y FJ(\()p Fr(l)q FJ(\))1679 2405 y FI(\()p Fz(g)1757 2420 y Fr(k)1800 2405 y Fz(;)15 b(W)1926 2420 y Fr(k)1969 2405 y FI(\))p Fz(;)g(\021)s Fy(i)22 b(\000)e(h)p Fz(d)2322 2419 y Fr(W)2403 2405 y Fu(L)2458 2368 y FJ(\()p Fr(l)q FJ(\))2545 2405 y FI(\()p Fz(g)2623 2420 y Fr(k)2666 2405 y Fz(;)15 b(W)2792 2420 y Fr(k)2835 2405 y FI(\))p Fz(;)g(\021)s Fy(i)27 b Fz(:)0 2609 y FI(It)j(remains)g(to)h(substitute)e(\(3.13\),)k(\(3.14\))f(in)m (to)f(\(3.12\).)43 b(T)-8 b(aking)30 b(in)m(to)g(accoun)m(t)i(that)1050 2813 y Fz(d)1097 2827 y Fr(W)1178 2813 y Fu(L)1233 2776 y FJ(\()p Fr(l)q FJ(\))1320 2813 y FI(\()p Fz(g)1398 2828 y Fr(k)1441 2813 y Fz(;)15 b(W)1567 2828 y Fr(k)1610 2813 y FI(\))26 b(=)f(Ad)1885 2776 y Fq(\003)1940 2813 y Fz(W)2039 2775 y Fq(\000)p FJ(1)2026 2843 y Fr(k)2153 2813 y Fy(\001)20 b Fz(d)2260 2776 y Fq(0)2248 2836 y Fr(W)2330 2813 y Fu(L)2384 2776 y FJ(\()q Fr(l)q FJ(\))2471 2813 y FI(\()p Fz(g)2549 2828 y Fr(k)2592 2813 y Fz(;)15 b(W)2718 2828 y Fr(k)2761 2813 y FI(\))26 b Fz(;)0 3017 y FI(w)m(e)32 b(\014nd)f(\(3.8\).)47 b(Finally)-8 b(,)31 b(notice)i(that)f(the)g(notation)h(\(3.9\))g(is)e(consisten)m(t)i(with) d(the)j(de\014nitions)c(\(2.8\),)35 b(\(3.2\).)0 3130 y(Indeed,)i(from)e(these)h(de\014nitions)e(it)h(follo)m(ws:)51 b Fz(M)1761 3145 y Fr(k)1839 3130 y FI(=)34 b Fz(d)2006 3097 y Fq(0)1994 3155 y FJ(2)2034 3130 y Fu(L)s FI(\()q Fz(g)2167 3145 y Fr(k)r Fq(\000)p FJ(1)2306 3130 y Fz(;)15 b(g)2389 3145 y Fr(k)2432 3130 y FI(\),)38 b(and)e(the)g(reference)g (to)h(\(3.13\))h(pro)m(v)m(es)0 3243 y(\(3.9\).)59 b(The)35 b(brac)m(k)m(et)i(\(3.11\))i(is)34 b(the)i(pull{bac)m(k)f(of)h(the)g (standard)f(symplectic)g(brac)m(k)m(et)i(on)f Fz(T)3362 3210 y Fq(\003)3401 3243 y Fz(G)f FI(under)f(the)0 3356 y(trivialization)28 b(map)i(\(3.2\).)p 993 3356 71 71 v 141 3516 a Fv(The)38 b(second)i(pro)s(of.)50 b FI(This)32 b(pro)s(of)h(will)e(sho)m(w)i(us)g(that)h(\(3.8\))i(describ)s(e)c (extremals)h(\()p Fz(g)3264 3531 y Fr(k)3308 3516 y Fz(;)15 b(W)3434 3531 y Fr(k)3476 3516 y FI(\))34 b(of)g(a)g(con-)0 3629 y(strained)40 b(v)-5 b(ariational)39 b(principle,)h(with)g(the)h (functional)e(\(3.6\),)45 b(with)40 b(the)h(admissible)c(v)-5 b(ariations)40 b(giv)m(en)h(in)0 3742 y(\(3.7\).)59 b(Indeed,)36 b(in)m(tro)s(ducing)e(the)i(small)e(parameter)i Fz(\017)g FI(explicitly)-8 b(,)35 b(i.e.)57 b(replacing)34 b Fz(\021)3035 3757 y Fr(k)3114 3742 y FI(b)m(y)h Fz(\017\021)3327 3757 y Fr(k)3370 3742 y FI(,)i(and)f(writing)0 3855 y(\()p Fz(g)78 3870 y Fr(k)121 3855 y FI(\()p Fz(\017)p FI(\))p Fz(;)15 b(W)354 3870 y Fr(k)398 3855 y FI(\()p Fz(\017)p FI(\)\))31 b(for)f(\()s(~)-48 b Fz(g)788 3870 y Fr(k)832 3855 y Fz(;)899 3832 y FI(~)872 3855 y Fz(W)958 3870 y Fr(k)1001 3855 y FI(\),)31 b(w)m(e)f(are)h(lo)s(oking)e(for)h(the)h (extrem)m(um)g(of)f(the)h(functional)1314 4147 y Fu(S)1370 4110 y FJ(\()p Fr(l)q FJ(\))1445 4147 y FI(\()p Fz(\017)p FI(\))26 b(=)1674 4032 y Fr(k)1711 4041 y FD(1)1745 4032 y Fq(\000)p FJ(1)1689 4061 y Fs(X)1719 4258 y Fr(k)1756 4267 y FD(0)1851 4147 y Fu(L)1905 4110 y FJ(\()q Fr(l)q FJ(\))1992 4147 y FI(\()p Fz(g)2070 4162 y Fr(k)2114 4147 y FI(\()p Fz(\017)p FI(\))p Fz(;)15 b(W)2347 4162 y Fr(k)2390 4147 y FI(\()p Fz(\017)p FI(\)\))26 b Fz(:)0 4459 y FI(Considering)i(the)i(necessary)h(condition)e Fz(d)p Fu(S)1563 4426 y FJ(\()p Fr(l)q FJ(\))1638 4459 y FI(\()p Fz(\017)p FI(\))p Fz(=d\017)p Fy(j)1899 4473 y Fr(\017)p FJ(=0)2048 4459 y FI(=)c(0,)31 b(w)m(e)g(\014nd:)295 4686 y(0)84 b(=)577 4599 y Fs(X)624 4797 y Fr(k)724 4585 y Fs(D)779 4686 y Fz(d)841 4648 y Fq(0)829 4708 y Fr(g)870 4686 y Fu(L)925 4648 y FJ(\()p Fr(l)q FJ(\))1012 4686 y FI(\()p Fz(g)1090 4701 y Fr(k)1133 4686 y Fz(;)15 b(W)1259 4701 y Fr(k)1302 4686 y FI(\))g Fz(;)g(\021)1437 4701 y Fr(k)1481 4585 y Fs(E)1556 4686 y FI(+)1647 4599 y Fs(X)1694 4797 y Fr(k)1794 4585 y Fs(D)1849 4686 y Fz(d)1911 4648 y Fq(0)1899 4708 y Fr(W)1981 4686 y Fu(L)2035 4648 y FJ(\()q Fr(l)q FJ(\))2122 4686 y FI(\()p Fz(g)2200 4701 y Fr(k)2243 4686 y Fz(;)g(W)2369 4701 y Fr(k)2412 4686 y FI(\))g Fz(;)g(\021)2547 4701 y Fr(k)r FJ(+1)2701 4686 y Fy(\000)20 b FI(Ad)15 b Fz(W)3025 4648 y Fq(\000)p FJ(1)3012 4715 y Fr(k)3139 4686 y Fy(\001)21 b Fz(\021)3230 4701 y Fr(k)3272 4585 y Fs(E)424 4977 y FI(=)577 4891 y Fs(X)624 5088 y Fr(k)724 4876 y Fs(D)779 4977 y Fz(d)841 4940 y Fq(0)829 5000 y Fr(g)870 4977 y Fu(L)925 4940 y FJ(\()p Fr(l)q FJ(\))1012 4977 y FI(\()p Fz(g)1090 4992 y Fr(k)1133 4977 y Fz(;)15 b(W)1259 4992 y Fr(k)1302 4977 y FI(\))20 b(+)g Fz(d)1510 4940 y Fq(0)1498 5000 y Fr(W)1580 4977 y Fu(L)1634 4940 y FJ(\()q Fr(l)q FJ(\))1721 4977 y FI(\()p Fz(g)1799 4992 y Fr(k)r Fq(\000)p FJ(1)1933 4977 y Fz(;)15 b(W)2059 4992 y Fr(k)r Fq(\000)p FJ(1)2192 4977 y FI(\))20 b Fy(\000)g FI(Ad)2457 4940 y Fq(\003)2511 4977 y Fz(W)2610 4939 y Fq(\000)p FJ(1)2597 5006 y Fr(k)2724 4977 y Fy(\001)h Fz(d)2832 4940 y Fq(0)2820 5000 y Fr(W)2901 4977 y Fu(L)2956 4940 y FJ(\()p Fr(l)q FJ(\))3043 4977 y FI(\()p Fz(g)3121 4992 y Fr(k)3164 4977 y Fz(;)15 b(W)3290 4992 y Fr(k)3333 4977 y FI(\))p Fz(;)g(\021)3453 4992 y Fr(k)3497 4876 y Fs(E)3577 4977 y Fz(:)0 5268 y FI(A)30 b(reference)h(to)g(the)g(arbitraryness)e(of)h(the)h(sequence)g Fy(f)p Fz(\021)2025 5283 y Fr(k)2068 5268 y Fy(g)g FI(\014nishes)d(the) i(pro)s(of.)p 2892 5268 V 1926 5517 a(6)p eop %%Page: 7 7 7 6 bop 0 635 a FL(3.2)112 b(Reduction)37 b(of)g(left)g(in)m(v)-6 b(arian)m(t)36 b(Lagrangians)0 806 y FI(Let)31 b(us)f(describ)s(e)e (the)j(con)m(text)h(leading)d(to)i(the)g(\(discrete\))g(Euler{P)m (oincar)m(\023)-43 b(e)31 b(equations.)141 919 y(Let)g(\010)25 b(:)g Fz(G)20 b Fy(\002)g Fz(V)46 b Fy(7!)25 b Fz(V)50 b FI(b)s(e)30 b(a)h(represen)m(tation)f(of)h(a)f(Lie)g(group)g Fz(G)g FI(in)f(a)i(linear)d(space)j Fz(V)21 b FI(;)30 b(w)m(e)h(denote)g(it)f(b)m(y)1342 1109 y(\010\()p Fz(g)s FI(\))21 b Fy(\001)f Fz(v)95 b FI(for)90 b Fz(g)29 b Fy(2)c Fz(G)g(;)66 b(v)28 b Fy(2)d Fz(V)46 b(:)0 1299 y FI(W)-8 b(e)32 b(denote)e(also)h(b)m(y)f Fz(\036)h FI(the)f(corresp)s(onding)e(represen)m(tation)j(of)f(the)h(Lie)f (algebra)g Fg(g)g FI(in)f Fz(V)21 b FI(:)928 1533 y Fz(\036)p FI(\()p Fz(\030)t FI(\))g Fy(\001)f Fz(v)29 b FI(=)1369 1472 y Fz(d)p 1351 1513 85 4 v 1351 1596 a(d\017)1445 1433 y Fs(\020)1499 1533 y FI(\010\()p Fz(e)1642 1496 y Fr(\017\030)1709 1533 y FI(\))21 b Fy(\001)f Fz(v)1857 1433 y Fs(\021)1912 1402 y(\014)1912 1456 y(\014)1912 1511 y(\014)1912 1565 y(\014)1942 1624 y Fr(\017)p FJ(=0)2171 1533 y FI(for)91 b Fz(\030)29 b Fy(2)c Fg(g)g Fz(;)66 b(v)28 b Fy(2)d Fz(V)45 b(:)696 b FI(\(3.15\))0 1773 y(The)30 b(map)g Fz(\036)443 1740 y Fq(\003)508 1773 y FI(:)25 b Fg(g)20 b Fy(\002)g Fz(V)788 1740 y Fq(\003)853 1773 y Fy(7!)25 b Fz(V)1042 1740 y Fq(\003)1112 1773 y FI(de\014ned)k(b)m(y)843 1963 y Fy(h)p Fz(\036)932 1925 y Fq(\003)972 1963 y FI(\()p Fz(\030)t FI(\))21 b Fy(\001)g Fz(y)s(;)15 b(v)s Fy(i)26 b FI(=)f Fy(h)p Fz(y)s(;)15 b(\036)p FI(\()p Fz(\030)t FI(\))21 b Fy(\001)g Fz(v)s Fy(i)182 b(8)p Fz(v)28 b Fy(2)d Fz(V)46 b(;)40 b(y)28 b Fy(2)d Fz(V)2673 1925 y Fq(\003)2737 1963 y Fz(;)41 b(\030)29 b Fy(2)c Fg(g)g Fz(;)611 b FI(\(3.16\))0 2153 y(is)42 b(an)h(an)m(ti{represen)m(tation)g(of)g(the)g(Lie)f (algebra)h Fg(g)g FI(in)e Fz(V)2110 2120 y Fq(\003)2150 2153 y FI(.)78 b(W)-8 b(e)44 b(shall)d(use)h(also)h(the)g(bilinear)d (op)s(eration)0 2266 y Fy(\005)h FI(:)25 b Fz(V)210 2233 y Fq(\003)269 2266 y Fy(\002)20 b Fz(V)46 b Fy(7!)25 b Fg(g)621 2233 y Fq(\003)690 2266 y FI(in)m(tro)s(duced)k(in)g([HMR,)i (CHMR])g(and)f(de\014ned)f(as)i(follo)m(ws:)39 b(let)31 b Fz(v)d Fy(2)d Fz(V)20 b FI(,)31 b Fz(y)d Fy(2)d Fz(V)3476 2233 y Fq(\003)3516 2266 y FI(,)30 b(then)1223 2455 y Fy(h)p Fz(y)23 b Fy(\005)e Fz(v)s(;)15 b(\030)t Fy(i)26 b FI(=)f Fy(\000h)p Fz(y)s(;)15 b(\036)p FI(\()p Fz(\030)t FI(\))21 b Fy(\001)g Fz(v)s Fy(i)182 b(8)p Fz(\030)29 b Fy(2)c Fg(g)g Fz(:)990 b FI(\(3.17\))0 2645 y(\(Notice)35 b(that)g(the)f(pairings)e(on)i(the)h(left{hand)e(side)g(and)g(on)h(the) h(righ)m(t{hand)e(side)g(of)h(the)g(latter)h(equation)0 2758 y(are)c(de\014ned)e(on)h(di\013eren)m(t)g(spaces\).)141 2918 y(Fix)g(an)g(elemen)m(t)h Fz(a)25 b Fy(2)g Fz(V)c FI(,)30 b(and)g(consider)f(the)i(isotrop)m(y)f(subgroup)f Fz(G)2558 2885 y FJ([)p Fr(a)p FJ(])2668 2918 y FI(of)i Fz(a)p FI(,)f(i.e.)1325 3108 y Fz(G)1397 3070 y FJ([)p Fr(a)p FJ(])1502 3108 y FI(=)25 b Fy(f)p Fz(h)42 b FI(:)50 b(\010\()p Fz(h)p FI(\))21 b Fy(\001)g Fz(a)k FI(=)g Fz(a)p Fy(g)h(\032)f Fz(G)g(:)1092 b FI(\(3.18\))0 3310 y(Supp)s(ose)27 b(that)j(the)f(Lagrange)h(function)e Fu(L)t FI(\()p Fz(g)t(;)c FI(^)-54 b Fz(g)10 b FI(\))29 b(is)f(in)m(v)-5 b(arian)m(t)29 b(under)e(the)j(action)f(of)g Fz(G)3077 3277 y FJ([)p Fr(a)p FJ(])3187 3310 y FI(on)g Fz(G)17 b Fy(\002)g Fz(G)29 b FI(induced)0 3423 y(b)m(y)h Ft(left)h FI(translations)e(on)h Fz(G)p FI(:)1309 3613 y Fu(L)t FI(\()p Fz(h)q(g)s(;)16 b(h)s FI(^)-48 b Fz(g)10 b FI(\))25 b(=)g Fu(L)t FI(\()p Fz(g)t(;)f FI(^)-54 b Fz(g)10 b FI(\))26 b Fz(;)106 b(h)26 b Fy(2)e Fz(G)2457 3575 y FJ([)p Fr(a)p FJ(])2563 3613 y Fz(:)1077 b FI(\(3.19\))0 3814 y(The)30 b(corresp)s(onding)e(in)m(v)-5 b(ariance)30 b(prop)s(ert)m(y)f(of)i Fu(L)1731 3781 y FJ(\()p Fr(l)q FJ(\))1818 3814 y FI(\()p Fz(g)s(;)15 b(W)e FI(\))31 b(is)e(expressed)h(as:)1203 4004 y Fu(L)1257 3967 y FJ(\()q Fr(l)q FJ(\))1344 4004 y FI(\()p Fz(hg)s(;)15 b(W)e FI(\))27 b(=)e Fu(L)1829 3967 y FJ(\()p Fr(l)q FJ(\))1916 4004 y FI(\()p Fz(g)s(;)15 b(W)e FI(\))26 b Fz(;)106 b(h)26 b Fy(2)f Fz(G)2564 3967 y FJ([)p Fr(a)p FJ(])2670 4004 y Fz(:)970 b FI(\(3.20\))0 4194 y(W)-8 b(e)40 b(w)m(an)m(t)g(to)f (reduce)g(the)g(Euler{Lagrange)g(equations)g(with)e(resp)s(ect)i(to)h (this)d(left)i(action.)66 b(As)39 b(a)g(section)0 4307 y(\()p Fz(G)20 b Fy(\002)g Fz(G)p FI(\))p Fz(=G)442 4274 y FJ([)p Fr(a)p FJ(])553 4307 y FI(w)m(e)31 b(c)m(ho)s(ose)g(the)g(set) g Fz(G)19 b Fy(\002)h Fz(O)1525 4321 y Fr(a)1567 4307 y FI(,)31 b(where)f Fz(O)1955 4321 y Fr(a)2027 4307 y FI(is)f(the)i(orbit)e(of)i Fz(a)f FI(under)f(the)i(action)f(\010:)1361 4497 y Fz(O)1430 4511 y Fr(a)1498 4497 y FI(=)25 b Fy(f)p FI(\010\()p Fz(g)s FI(\))c Fy(\001)g Fz(a)15 b(;)41 b(g)28 b Fy(2)d Fz(G)p Fy(g)h(\032)e Fz(V)46 b(:)1129 b FI(\(3.21\))0 4686 y(The)30 b(reduction)f(map)h(is)559 4876 y(\()p Fz(g)s(;)15 b(W)e FI(\))27 b Fy(2)e Fz(G)19 b Fy(\002)h Fz(G)50 b Fy(7!)h FI(\()p Fz(W)m(;)15 b(P)e FI(\))26 b Fy(2)f Fz(G)20 b Fy(\002)g Fz(O)2001 4890 y Fr(a)2068 4876 y Fz(;)197 b FI(where)182 b Fz(P)38 b FI(=)25 b(\010\()p Fz(g)3044 4839 y Fq(\000)p FJ(1)3139 4876 y FI(\))20 b Fy(\001)h Fz(a)k(;)327 b FI(\(3.22\))0 5078 y(so)31 b(that)g(the)f(reduced)g(Lagrange)h(function)e(\003)1618 5045 y FJ(\()p Fr(l)q FJ(\))1740 5078 y FI(:)40 b Fz(G)20 b Fy(\002)g Fz(O)2057 5092 y Fr(a)2124 5078 y Fy(7!)25 b Fu(R)39 b FI(is)30 b(de\014ned)f(as)928 5268 y(\003)991 5230 y FJ(\()p Fr(l)q FJ(\))1072 5268 y FI(\()p Fz(W)m(;)15 b(P)e FI(\))26 b(=)f Fu(L)1513 5230 y FJ(\()p Fr(l)r FJ(\))1600 5268 y FI(\()p Fz(g)s(;)15 b(W)e FI(\))26 b Fz(;)107 b FI(where)90 b Fz(P)38 b FI(=)25 b(\010\()p Fz(g)2675 5230 y Fq(\000)p FJ(1)2770 5268 y FI(\))c Fy(\001)f Fz(a)26 b(:)695 b FI(\(3.23\))1926 5517 y(7)p eop %%Page: 8 8 8 7 bop 0 635 a FI(The)30 b(reduced)g(Lagrangian)g(\003)1065 602 y FJ(\()p Fr(l)q FJ(\))1146 635 y FI(\()p Fz(W)m(;)15 b(P)e FI(\))32 b(is)d(w)m(ell)g(de\014ned,)h(b)s(ecause)g(from)1401 830 y Fz(P)38 b FI(=)25 b(\010\()p Fz(g)1740 792 y Fq(\000)p FJ(1)1737 856 y(1)1835 830 y FI(\))c Fy(\001)f Fz(a)26 b FI(=)f(\010\()p Fz(g)2253 792 y Fq(\000)p FJ(1)2250 856 y(2)2347 830 y FI(\))c Fy(\001)f Fz(a)0 1025 y FI(there)31 b(follo)m(ws)e(\010\()p Fz(g)675 1039 y FJ(2)715 1025 y Fz(g)761 987 y Fq(\000)p FJ(1)758 1051 y(1)856 1025 y FI(\))20 b Fy(\001)h Fz(a)k FI(=)g Fz(a)p FI(,)31 b(so)f(that)h Fz(g)1581 1039 y FJ(2)1621 1025 y Fz(g)1667 987 y Fq(\000)p FJ(1)1664 1051 y(1)1787 1025 y Fy(2)25 b Fz(G)1945 992 y FJ([)p Fr(a)p FJ(])2025 1025 y FI(,)31 b(and)f Fu(L)2312 992 y FJ(\()q Fr(l)q FJ(\))2399 1025 y FI(\()p Fz(g)2477 1039 y FJ(1)2517 1025 y Fz(;)15 b(W)e FI(\))26 b(=)f Fu(L)2867 992 y FJ(\()q Fr(l)q FJ(\))2954 1025 y FI(\()p Fz(g)3032 1039 y FJ(2)3073 1025 y Fz(;)15 b(W)e FI(\).)0 1228 y Fv(Theorem)34 b(3.3)46 b FI(a\))30 b Ft(Consider)g(the)f(r)-5 b(e)g(duction)31 b FI(\()p Fz(g)s(;)15 b(W)e FI(\))26 b Fy(7!)g FI(\()p Fz(W)m(;)15 b(P)e FI(\))p Ft(.)42 b(The)29 b(r)-5 b(e)g(duc)g(e)g(d)31 b(Euler{L)-5 b(agr)g(ange)31 b(e)-5 b(quations)0 1341 y FI(\(3.8\))34 b Ft(b)-5 b(e)g(c)g(ome)34 b(the)f(fol)5 b(lowing)34 b Fv(discrete)h(Euler{P)m(oincar)n(\023)-50 b(e)36 b(equations)p Ft(:)933 1463 y Fs(8)933 1545 y(<)933 1708 y(:)1056 1537 y FI(Ad)1174 1500 y Fq(\003)1229 1537 y Fz(W)1328 1499 y Fq(\000)p FJ(1)1315 1566 y Fr(k)1442 1537 y Fy(\001)20 b Fz(M)1575 1552 y Fr(k)r FJ(+1)1734 1537 y FI(=)25 b Fz(M)1918 1552 y Fr(k)1981 1537 y FI(+)20 b Fy(r)2148 1551 y Fr(P)2206 1537 y FI(\003)2269 1504 y FJ(\()p Fr(l)q FJ(\))2350 1537 y FI(\()p Fz(W)2471 1552 y Fr(k)2514 1537 y Fz(;)15 b(P)2612 1552 y Fr(k)2655 1537 y FI(\))21 b Fy(\005)g Fz(P)2835 1552 y Fr(k)2903 1537 y Fz(;)1056 1765 y(P)1114 1780 y Fr(k)r FJ(+1)1272 1765 y FI(=)k(\010\()p Fz(W)1568 1726 y Fq(\000)p FJ(1)1555 1794 y Fr(k)1662 1765 y FI(\))20 b Fy(\001)h Fz(P)1821 1780 y Fr(k)1889 1765 y Fz(;)3665 1649 y FI(\(3.24\))0 1952 y Ft(wher)-5 b(e)1301 2147 y Fz(M)1389 2162 y Fr(k)1457 2147 y FI(=)25 b Fz(d)1615 2110 y Fq(0)1603 2170 y Fr(W)1685 2147 y FI(\003)1748 2110 y FJ(\()p Fr(l)q FJ(\))1829 2147 y FI(\()p Fz(W)1950 2162 y Fr(k)r Fq(\000)p FJ(1)2083 2147 y Fz(;)15 b(P)2181 2162 y Fr(k)r Fq(\000)p FJ(1)2314 2147 y FI(\))26 b Fy(2)f Fg(g)2507 2110 y Fq(\003)2571 2147 y Fz(:)1069 b FI(\(3.25\))0 2342 y Ft(They)33 b(describ)-5 b(e)33 b(extr)-5 b(emals)34 b(of)f(the)g(c)-5 b(onstr)g(aine)g(d)36 b(variational)f(principle,)e(with)g(the)g(functional)1461 2620 y Fz(S)1522 2583 y FJ(\()p Fr(l)q FJ(\))1628 2620 y FI(=)1724 2505 y Fr(k)1761 2514 y FD(1)1796 2505 y Fq(\000)p FJ(1)1740 2534 y Fs(X)1770 2732 y Fr(k)1807 2741 y FD(0)1901 2620 y FI(\003)1964 2583 y FJ(\()p Fr(l)q FJ(\))2045 2620 y FI(\()p Fz(W)2166 2635 y Fr(k)2209 2620 y Fz(;)15 b(P)2307 2635 y Fr(k)2350 2620 y FI(\))26 b Fz(;)1229 b FI(\(3.26\))0 2931 y Ft(and)34 b(the)f(admissible)g (variations)i Fy(f)p FI(\()1275 2908 y Fs(f)1271 2931 y Fz(W)1357 2946 y Fr(k)1400 2931 y Fz(;)1458 2908 y Fs(e)1440 2931 y Fz(P)1498 2946 y Fr(k)1541 2931 y FI(\))p Fy(g)f Ft(of)f Fy(f)p FI(\()p Fz(W)1928 2946 y Fr(k)1971 2931 y Fz(;)15 b(P)2069 2946 y Fr(k)2112 2931 y FI(\))p Fy(g)34 b Ft(of)f(the)g(form)902 3121 y Fs(f)898 3144 y Fz(W)984 3159 y Fr(k)1052 3144 y FI(=)25 b Fz(W)1234 3159 y Fr(k)1276 3144 y Fz(e)1318 3106 y Fr(\021)1353 3118 y Fp(k)q FD(+1)1469 3106 y Fq(\000)p FJ(Ad)12 b Fr(W)1705 3077 y Fl(\000)p FD(1)1695 3130 y Fp(k)1787 3106 y Fq(\001)p Fr(\021)1842 3118 y Fp(k)1909 3144 y Fz(;)2153 3121 y Fs(e)2135 3144 y Fz(P)2193 3159 y Fr(k)2262 3144 y FI(=)25 b Fz(P)2416 3159 y Fr(k)2479 3144 y Fy(\000)20 b Fz(\036)p FI(\()p Fz(\021)2704 3159 y Fr(k)2747 3144 y FI(\))h Fy(\001)f Fz(P)2906 3159 y Fr(k)2974 3144 y Fz(;)666 b FI(\(3.27\))0 3355 y Ft(wher)-5 b(e)34 b Fy(f)p Fz(\021)347 3370 y Fr(k)390 3355 y Fy(g)435 3314 y Fr(k)472 3323 y FD(1)435 3384 y Fr(k)r FJ(=)p Fr(k)566 3393 y FD(0)637 3355 y Ft(is)e(an)i(arbitr)-5 b(ary)34 b(se)-5 b(quenc)g(e)33 b(of)g(elements)g(of)g(the)g(Lie)f(algebr)-5 b(a)34 b Fg(g)e Ft(with)h Fz(\021)3140 3370 y Fr(k)3177 3379 y FD(0)3241 3355 y FI(=)25 b Fz(\021)3382 3370 y Fr(k)3419 3379 y FD(1)3483 3355 y FI(=)g(0)p Ft(.)141 3468 y FI(b\))33 b Ft(If)f(the)h(\\L)-5 b(e)g(gendr)g(e)34 b(tr)-5 b(ansformation)c(")1009 3663 y FI(\()p Fz(W)1130 3678 y Fr(k)r Fq(\000)p FJ(1)1263 3663 y Fz(;)15 b(P)1361 3678 y Fr(k)r Fq(\000)p FJ(1)1495 3663 y FI(\))26 b Fy(2)e Fz(G)c Fy(\002)g Fz(O)1893 3677 y Fr(a)1960 3663 y Fy(7!)25 b FI(\()p Fz(M)2199 3678 y Fr(k)2243 3663 y Fz(;)15 b(P)2341 3678 y Fr(k)2384 3663 y FI(\))26 b Fy(2)f Fg(g)2577 3625 y Fq(\003)2636 3663 y Fy(\002)20 b Fz(O)2796 3677 y Fr(a)2863 3663 y Fz(;)777 b FI(\(3.28\))0 3868 y Ft(wher)-5 b(e)39 b Fz(P)320 3883 y Fr(k)397 3868 y FI(=)34 b(\010\()p Fz(W)702 3830 y Fq(\000)p FJ(1)689 3897 y Fr(k)r Fq(\000)p FJ(1)822 3868 y FI(\))24 b Fy(\001)g Fz(P)988 3883 y Fr(k)r Fq(\000)p FJ(1)1122 3868 y Ft(,)38 b(is)g(invertible,)h(then)f FI(\(3.24\))i Ft(de\014ne)e(a)g(map)h FI(\()p Fz(M)2883 3883 y Fr(k)2926 3868 y Fz(;)15 b(P)3024 3883 y Fr(k)3067 3868 y FI(\))35 b Fy(7!)f FI(\()p Fz(M)3385 3883 y Fr(k)r FJ(+1)3519 3868 y Fz(;)15 b(P)3617 3883 y Fr(k)r FJ(+1)3750 3868 y FI(\))38 b Ft(of)0 3981 y Fg(g)46 3948 y Fq(\003)105 3981 y Fy(\002)20 b Fz(O)265 3995 y Fr(a)340 3981 y Ft(which)33 b(is)g(Poisson)g(with)h(r)-5 b(esp)g(e)g(ct)34 b(to)f(the)g(Poisson)h (br)-5 b(acket)333 4176 y Fy(f)p Fz(F)436 4190 y FJ(1)476 4176 y Fz(;)15 b(F)574 4190 y FJ(2)615 4176 y Fy(g)25 b FI(=)g Fy(h)p Fz(M)5 b(;)15 b FI([)p Fy(r)1050 4190 y Fr(M)1130 4176 y Fz(F)1188 4190 y FJ(1)1228 4176 y Fz(;)g Fy(r)1344 4190 y Fr(M)1423 4176 y Fz(F)1481 4190 y FJ(2)1521 4176 y FI(])g Fy(i)21 b FI(+)f Fy(hr)1819 4190 y Fr(P)1878 4176 y Fz(F)1936 4190 y FJ(1)1976 4176 y Fz(;)15 b(\036)p FI(\()p Fy(r)2181 4190 y Fr(M)2260 4176 y Fz(F)2318 4190 y FJ(2)2358 4176 y FI(\))21 b Fy(\001)f Fz(P)28 b Fy(i)21 b(\000)f(hr)2803 4190 y Fr(P)2862 4176 y Fz(F)2920 4190 y FJ(2)2960 4176 y Fz(;)15 b(\036)p FI(\()p Fy(r)3165 4190 y Fr(M)3244 4176 y Fz(F)3302 4190 y FJ(1)3342 4176 y FI(\))21 b Fy(\001)f Fz(P)28 b Fy(i)3665 4289 y FI(\(3.29\))0 4481 y Ft(for)33 b(two)h(arbitr)-5 b(ary)35 b(functions)e Fz(F)1148 4495 y FJ(1)p Fr(;)p FJ(2)1242 4481 y FI(\()p Fz(M)5 b(;)15 b(P)e FI(\))27 b(:)e Fg(g)1639 4448 y Fq(\003)1699 4481 y Fy(\002)20 b Fz(O)1859 4495 y Fr(a)1926 4481 y Fy(7!)25 b Fu(R)s Ft(.)0 4685 y Fv(Pro)s(of)42 b FI(is)d(a)j(consequence)f(of)g(the)g (follo)m(wing)e(form)m(ula:)61 b(if)40 b Fz(f)52 b FI(:)43 b Fz(G)f Fy(7!)g Fu(R)49 b FI(is)40 b(a)h(pull{bac)m(k)f(of)h(the)g (function)0 4798 y Fz(F)d FI(:)26 b Fz(O)216 4812 y Fr(a)283 4798 y Fy(7!)f Fu(R)s FI(,)36 b(i.e.)1344 4911 y Fz(f)10 b FI(\()p Fz(g)s FI(\))26 b(=)f Fz(F)13 b FI(\()p Fz(P)g FI(\))26 b(=)f Fz(F)13 b FI(\(\010\()p Fz(g)2224 4873 y Fq(\000)p FJ(1)2319 4911 y FI(\))21 b Fy(\001)f Fz(a)p FI(\))26 b Fz(;)0 5073 y FI(then)1482 5268 y Fz(d)1544 5230 y Fq(0)1568 5268 y Fz(f)10 b FI(\()p Fz(g)s FI(\))26 b(=)f Fy(r)1937 5282 y Fr(P)1995 5268 y Fz(F)13 b FI(\()p Fz(P)g FI(\))21 b Fy(\005)g Fz(P)38 b(:)1250 b FI(\(3.30\))1926 5517 y(8)p eop %%Page: 9 9 9 8 bop 0 635 a FI(\(Indeed,)37 889 y Fy(h)p Fz(d)134 851 y Fq(0)158 889 y Fz(f)10 b FI(\()p Fz(g)s FI(\))p Fz(;)15 b(\030)t Fy(i)26 b FI(=)609 827 y Fz(d)p 590 868 85 4 v 590 951 a(d\017)684 889 y(f)10 b FI(\()p Fz(g)s(e)862 851 y Fr(\017\030)929 889 y FI(\))964 757 y Fs(\014)964 812 y(\014)964 866 y(\014)964 921 y(\014)995 979 y Fr(\017)p FJ(=0)1143 889 y FI(=)1277 827 y Fz(d)p 1259 868 V 1259 951 a(d\017)1353 889 y(F)j FI(\(\010\()p Fz(e)1602 851 y Fq(\000)p Fr(\017\030)1724 889 y FI(\))21 b Fy(\001)f Fz(P)13 b FI(\))1931 757 y Fs(\014)1931 812 y(\014)1931 866 y(\014)1931 921 y(\014)1962 979 y Fr(\017)p FJ(=0)2110 889 y FI(=)25 b Fy(\000hr)2388 903 y Fr(P)2446 889 y Fz(F)13 b FI(\()p Fz(P)g FI(\))p Fz(;)i(\036)p FI(\()p Fz(\030)t FI(\))22 b Fy(\001)f Fz(P)13 b Fy(i)26 b FI(=)e Fy(hr)3272 903 y Fr(P)3331 889 y Fz(F)13 b FI(\()p Fz(P)g FI(\))21 b Fy(\005)g Fz(P)s(;)15 b(\030)t Fy(i)26 b FI(;)0 1147 y(the)31 b(last)f(equalit)m(y)g(is)f(the)i(de\014nition)d (\(3.17\)\).)43 b(In)30 b(particular,)f(plugging)1096 1351 y Fz(d)1158 1314 y Fq(0)1146 1374 y Fr(g)1187 1351 y Fu(L)1241 1314 y FJ(\()q Fr(l)q FJ(\))1354 1351 y FI(=)c Fy(r)1526 1365 y Fr(P)1584 1351 y FI(\003)1647 1314 y FJ(\()p Fr(l)q FJ(\))1748 1351 y Fy(\005)c Fz(P)38 b(;)197 b(d)2194 1314 y Fq(0)2182 1374 y Fr(W)2264 1351 y Fu(L)2318 1314 y FJ(\()q Fr(l)q FJ(\))2430 1351 y FI(=)25 b Fz(d)2588 1314 y Fq(0)2576 1374 y Fr(W)2658 1351 y FI(\003)2721 1314 y FJ(\()p Fr(l)q FJ(\))0 1556 y FI(in)m(to)41 b(the)g(\014rst)f (equation)h(in)e(\(3.8\),)46 b(w)m(e)41 b(come)h(to)g(the)f(\014rst)f (equation)g(in)g(\(3.24\).)74 b(Similarly)-8 b(,)41 b(the)g(P)m(oisson) 0 1669 y(brac)m(k)m(et)32 b(\(3.11\))h(turns)c(in)m(to)h(\(3.29\))j(b)m (y)d(use)g(of)h(\(3.30\).)p 1954 1669 71 71 v 141 1829 a Fv(Remark)40 b(1.)54 b FI(The)34 b(form)m(ula)g(\(3.29\))j(de\014nes) d(a)i(P)m(oisson)e(brac)m(k)m(et)i(not)g(only)e(on)g Fg(g)3063 1796 y Fq(\003)3126 1829 y Fy(\002)23 b Fz(O)3289 1843 y Fr(a)3331 1829 y FI(,)36 b(but)e(on)h(all)e(of)0 1942 y Fg(g)46 1909 y Fq(\003)105 1942 y Fy(\002)20 b Fz(V)h FI(.)40 b(Rewriting)29 b(this)g(form)m(ula)h(as)397 2146 y Fy(f)p Fz(F)500 2160 y FJ(1)541 2146 y Fz(;)15 b(F)639 2160 y FJ(2)679 2146 y Fy(g)26 b FI(=)f Fy(h)p Fz(M)5 b(;)15 b FI([)p Fy(r)1115 2160 y Fr(M)1194 2146 y Fz(F)1252 2160 y FJ(1)1292 2146 y Fz(;)g Fy(r)1408 2160 y Fr(M)1487 2146 y Fz(F)1545 2160 y FJ(2)1585 2146 y FI(])g Fy(i)21 b FI(+)f Fy(h)p Fz(P)s(;)15 b(\036)1962 2108 y Fq(\003)2002 2146 y FI(\()p Fy(r)2113 2160 y Fr(M)2193 2146 y Fz(F)2251 2160 y FJ(2)2290 2146 y FI(\))21 b Fy(\001)f(r)2467 2160 y Fr(P)2526 2146 y Fz(F)2584 2160 y FJ(1)2644 2146 y Fy(\000)g Fz(\036)2789 2108 y Fq(\003)2829 2146 y FI(\()p Fy(r)2940 2160 y Fr(M)3019 2146 y Fz(F)3077 2160 y FJ(1)3117 2146 y FI(\))g Fy(\001)h(r)3294 2160 y Fr(P)3352 2146 y Fz(F)3410 2160 y FJ(2)3465 2146 y Fy(i)3665 2259 y FI(\(3.31\))0 2455 y(one)26 b(immediately)d(iden)m(ti\014es)h(this)g (brac)m(k)m(et)j(with)d(the)h(Lie{P)m(oisson)g(brac)m(k)m(et)i(of)e (the)h(semipro)s(duct)d(Lie)i(algebra)0 2568 y Fg(g)20 b Fu(n)g Fz(V)230 2535 y Fq(\003)300 2568 y FI(corresp)s(onding)28 b(to)j(the)g(represen)m(tation)f Fy(\000)p Fz(\036)1871 2535 y Fq(\003)1941 2568 y FI(of)g Fg(g)h FI(in)e Fz(V)2300 2535 y Fq(\003)2339 2568 y FI(.)141 2729 y Fv(Remark)38 b(2.)48 b FI(In)33 b(an)g(imp)s(ortan)m(t)f(particular)f(case)j(of)f (constructions)g(of)g(this)f(section,)i(the)f(v)m(ector)i(space)0 2841 y(is)30 b(c)m(hosen)h(as)g(the)g(Lie)f(algebra)g(of)h(our)f(basic) h(Lie)f(group:)40 b Fz(V)46 b FI(=)26 b Fg(g)p FI(,)31 b(the)f(group)h(represen)m(tation)f(is)g(the)h(adjoin)m(t)0 2954 y(one:)43 b(\010\()p Fz(g)s FI(\))22 b Fy(\001)f Fz(v)31 b FI(=)c(Ad)e(g)d Fy(\001)g Fz(v)s FI(,)32 b(so)g(that)g Fz(\036)p FI(\()p Fz(\030)t FI(\))22 b Fy(\001)f Fz(v)30 b FI(=)d(ad)e Fz(\030)g Fy(\001)c Fz(v)31 b FI(=)c([)p Fz(\030)t(;)15 b(v)s FI(],)33 b(and)e(the)h(bilinear)c(op)s(eration)j Fy(\005)h FI(is)f(nothing)0 3067 y(but)d(the)h(coadjoin)m(t)h(action)f (of)g Fg(g)f FI(on)h Fg(g)1331 3034 y Fq(\003)1370 3067 y FI(:)40 b Fz(y)20 b Fy(\005)e Fz(v)28 b FI(=)d(ad)1827 3030 y Fq(\003)1882 3067 y Fz(v)20 b Fy(\001)e Fz(y)s FI(.)40 b(This)27 b(is)h(the)h(framew)m(ork,)g(e.g.,)i(for)e(the)g(hea) m(vy)g(top)0 3180 y(mec)m(hanics.)41 b(The)30 b(mo)s(del)f(studied)f (in)h([BS])i(b)s(elongs)e(to)j(this)d(class.)0 3467 y FA(4)135 b(Righ)l(t)46 b(symmetry)f(reduction)0 3670 y FI(All)d(constructions)g(here)h(are)h(parallel)d(to)j(those)f(of)h (the)f(previous)f(section,)k(so)e(w)m(e)f(restrict)g(ourselv)m(es)g(to) 0 3782 y(form)m(ulations)29 b(of)i(the)f(basic)g(results)f(only)-8 b(.)0 4026 y FL(4.1)112 b(Righ)m(t)36 b(trivialization)0 4197 y FI(Consider)29 b(the)h(righ)m(t)g(trivialization)e(of)j(the)f (cotangen)m(t)j(bundle)28 b Fz(T)2335 4164 y Fq(\003)2374 4197 y Fz(G)p FI(:)1180 4402 y(\()p Fz(g)1258 4417 y Fr(k)1302 4402 y Fz(;)15 b(m)1422 4417 y Fr(k)1465 4402 y FI(\))25 b Fy(2)g Fz(G)20 b Fy(\002)g Fg(g)1840 4364 y Fq(\003)1930 4402 y Fy(7!)50 b FI(\()p Fz(g)2149 4417 y Fr(k)2192 4402 y Fz(;)15 b FI(\005)2300 4417 y Fr(k)2344 4402 y FI(\))25 b Fy(2)g Fz(T)2556 4364 y Fq(\003)2595 4402 y Fz(G)g(;)994 b FI(\(4.1\))0 4606 y(where)1239 4810 y(\005)1307 4825 y Fr(k)1375 4810 y FI(=)25 b Fz(R)1541 4773 y Fq(\003)1540 4849 y Fr(g)1576 4819 y Fl(\000)p FD(1)1574 4873 y Fp(k)1663 4810 y Fz(m)1743 4825 y Fr(k)1902 4810 y Fy(,)116 b Fz(m)2189 4825 y Fr(k)2256 4810 y FI(=)25 b Fz(R)2422 4773 y Fq(\003)2421 4833 y Fr(g)2455 4845 y Fp(k)2497 4810 y FI(\005)2565 4825 y Fr(k)2633 4810 y Fz(:)1053 b FI(\(4.2\))0 5036 y(Consider)29 b(also)h(the)g(map)1123 5240 y(\()p Fz(g)1201 5255 y Fr(k)1245 5240 y Fz(;)15 b(w)1350 5255 y Fr(k)1393 5240 y FI(\))25 b Fy(2)g Fz(G)20 b Fy(\002)g Fz(G)50 b Fy(7!)g FI(\()p Fz(g)2063 5255 y Fr(k)2107 5240 y Fz(;)15 b(g)2190 5255 y Fr(k)r FJ(+1)2323 5240 y FI(\))26 b Fy(2)f Fz(G)19 b Fy(\002)h Fz(G)25 b(;)937 b FI(\(4.3\))1926 5517 y(9)p eop %%Page: 10 10 10 9 bop 0 635 a FI(where)1243 812 y Fz(g)1286 827 y Fr(k)r FJ(+1)1445 812 y FI(=)25 b Fz(w)1606 827 y Fr(k)1648 812 y Fz(g)1691 827 y Fr(k)1851 812 y Fy(,)116 b Fz(w)2123 827 y Fr(k)2191 812 y FI(=)25 b Fz(g)2330 827 y Fr(k)r FJ(+1)2463 812 y Fz(g)2509 773 y Fq(\000)p FJ(1)2506 841 y Fr(k)2629 812 y Fz(:)1057 b FI(\(4.4\))0 988 y(Denote)32 b(the)e(pull{bac)m(k)g(of)g(the)h(Lagrange)g(function)e(under)g (\(4.3\))j(through)1417 1165 y Fu(L)1471 1128 y FJ(\()q Fr(r)r FJ(\))1570 1165 y FI(\()p Fz(g)1648 1180 y Fr(k)1692 1165 y Fz(;)15 b(w)1797 1180 y Fr(k)1840 1165 y FI(\))25 b(=)g Fu(L)t FI(\()p Fz(g)2130 1180 y Fr(k)2178 1165 y Fz(;)15 b(g)2261 1180 y Fr(k)r FJ(+1)2395 1165 y FI(\))26 b Fz(:)1230 b FI(\(4.5\))0 1342 y Fv(Prop)s(osition)36 b(4.1)46 b Ft(Consider)34 b(the)f(functional)1474 1602 y Fu(S)1530 1564 y FJ(\()p Fr(r)r FJ(\))1642 1602 y FI(=)1738 1487 y Fr(k)1775 1496 y FD(1)1810 1487 y Fq(\000)p FJ(1)1753 1516 y Fs(X)1783 1713 y Fr(k)1820 1722 y FD(0)1915 1602 y Fu(L)1970 1564 y FJ(\()p Fr(r)r FJ(\))2068 1602 y FI(\()p Fz(g)2146 1617 y Fr(k)2190 1602 y Fz(;)15 b(w)2295 1617 y Fr(k)2338 1602 y FI(\))26 b Fz(;)0 1872 y Ft(and)34 b(its)e(extr)-5 b(emals)35 b(with)e(r)-5 b(esp)g(e)g(ct)34 b(to)g(variations)g Fy(f)p FI(\()s(~)-48 b Fz(g)1860 1887 y Fr(k)1904 1872 y Fz(;)34 b FI(~)-64 b Fz(w)2009 1887 y Fr(k)2052 1872 y FI(\))p Fy(g)33 b Ft(of)g Fy(f)p FI(\()p Fz(g)2395 1887 y Fr(k)2439 1872 y Fz(;)15 b(w)2544 1887 y Fr(k)2587 1872 y FI(\))p Fy(g)33 b Ft(of)g(the)g(form)1210 2049 y FI(~)-49 b Fz(g)1249 2063 y FJ(=)1309 2049 y Fz(e)1351 2011 y Fr(\021)1386 2023 y Fp(k)1429 2049 y Fz(g)1472 2064 y Fr(k)1540 2049 y Fz(;)220 b FI(~)-64 b Fz(w)1831 2064 y Fr(k)1899 2049 y FI(=)25 b Fz(e)2037 2011 y Fr(\021)2072 2023 y Fp(k)q FD(+1)2188 2011 y Fq(\000)p FJ(Ad)12 b Fr(w)2398 2023 y Fp(k)2436 2011 y Fq(\001)p Fr(\021)2491 2023 y Fp(k)2533 2049 y Fz(w)2598 2064 y Fr(k)2666 2049 y Fz(;)0 2225 y Ft(wher)-5 b(e)45 b Fy(f)p Fz(\021)358 2240 y Fr(k)402 2225 y Fy(g)447 2185 y Fr(k)484 2194 y FD(1)447 2255 y Fr(k)r FJ(=)p Fr(k)578 2264 y FD(0)660 2225 y Ft(is)f(an)h(arbitr)-5 b(ary)46 b(se)-5 b(quenc)g(e)44 b(of)h(elements)f(of)h Fg(g)f Ft(with)h Fz(\021)2650 2240 y Fr(k)2687 2249 y FD(0)2772 2225 y FI(=)h Fz(\021)2934 2240 y Fr(k)2971 2249 y FD(1)3056 2225 y FI(=)g(0)p Ft(.)77 b(The)44 b(di\013er)-5 b(enc)g(e)0 2338 y(e)g(quations)34 b(for)f(extr)-5 b(emals)34 b(of)f(this)g(c)-5 b(onstr)g(aine)g(d)36 b(variational)f(pr)-5 b(oblem)34 b(r)-5 b(e)g(ad:)1114 2436 y Fs(8)1114 2518 y(<)1114 2681 y(:)1237 2511 y FI(Ad)1355 2474 y Fq(\003)1410 2511 y Fz(w)1475 2526 y Fr(k)1538 2511 y Fy(\001)20 b Fz(m)1663 2526 y Fr(k)r FJ(+1)1821 2511 y FI(=)25 b Fz(m)1997 2526 y Fr(k)2060 2511 y FI(+)20 b Fz(d)2198 2525 y Fr(g)2238 2511 y Fu(L)2293 2478 y FJ(\()p Fr(r)r FJ(\))2392 2511 y FI(\()p Fz(g)2470 2526 y Fr(k)2513 2511 y Fz(;)15 b(w)2618 2526 y Fr(k)2661 2511 y FI(\))26 b Fz(;)1237 2737 y(g)1280 2752 y Fr(k)r FJ(+1)1438 2737 y FI(=)f Fz(w)1599 2752 y Fr(k)1642 2737 y Fz(g)1685 2752 y Fr(k)1753 2737 y Fz(;)3711 2622 y FI(\(4.6\))0 2906 y Ft(wher)-5 b(e)1332 3083 y Fz(m)1412 3098 y Fr(k)1480 3083 y FI(=)25 b Fz(d)1623 3097 y Fr(w)1680 3083 y Fu(L)1734 3045 y FJ(\()q Fr(r)r FJ(\))1833 3083 y FI(\()p Fz(g)1911 3098 y Fr(k)r Fq(\000)p FJ(1)2045 3083 y Fz(;)15 b(w)2150 3098 y Fr(k)r Fq(\000)p FJ(1)2283 3083 y FI(\))26 b Fy(2)f Fg(g)2476 3045 y Fq(\003)2540 3083 y Fz(:)1146 b FI(\(4.7\))0 3260 y Ft(If)32 b(the)h(\\L)-5 b(e)g(gendr)g(e)34 b(tr)-5 b(ansformation)c(")1078 3437 y FI(\()p Fz(g)1156 3452 y Fr(k)r Fq(\000)p FJ(1)1290 3437 y Fz(;)15 b(w)1395 3452 y Fr(k)r Fq(\000)p FJ(1)1528 3437 y FI(\))26 b Fy(2)f Fz(G)19 b Fy(\002)h Fz(G)25 b Fy(7!)g FI(\()p Fz(g)2148 3452 y Fr(k)2192 3437 y Fz(;)15 b(m)2312 3452 y Fr(k)2354 3437 y FI(\))26 b Fy(2)f Fz(G)20 b Fy(\002)g Fg(g)2730 3399 y Fq(\003)2794 3437 y Fz(;)892 b FI(\(4.8\))0 3613 y Ft(wher)-5 b(e)44 b Fz(g)310 3628 y Fr(k)397 3613 y FI(=)g Fz(w)577 3628 y Fr(k)r Fq(\000)p FJ(1)710 3613 y Fz(g)753 3628 y Fr(k)r Fq(\000)p FJ(1)886 3613 y Ft(,)i(is)d(invertible,)i(then)f FI(\(4.6\))h Ft(de\014ne)e(a)g(map)i FI(\()p Fz(g)2603 3628 y Fr(k)2646 3613 y Fz(;)15 b(m)2766 3628 y Fr(k)2809 3613 y FI(\))45 b Fy(7!)f FI(\()p Fz(g)3102 3628 y Fr(k)r FJ(+1)3235 3613 y Fz(;)15 b(m)3355 3628 y Fr(k)r FJ(+1)3488 3613 y FI(\))44 b Ft(which)g(is)0 3726 y(symple)-5 b(ctic)34 b(with)f(r)-5 b(esp)g(e)g(ct)34 b(to)g(the)f(fol)5 b(lowing)33 b(Poisson)h(br)-5 b(acket)33 b(on)g Fz(G)20 b Fy(\002)g Fg(g)2586 3693 y Fq(\003)2625 3726 y Ft(:)683 3903 y Fy(f)p Fz(f)773 3917 y FJ(1)813 3903 y Fz(;)15 b(f)898 3917 y FJ(2)937 3903 y Fy(g)26 b FI(=)f Fy(\000h)p Fz(d)1257 3917 y Fr(g)1297 3903 y Fz(f)1342 3917 y FJ(1)1381 3903 y Fz(;)15 b Fy(r)1497 3917 y Fr(m)1564 3903 y Fz(f)1609 3917 y FJ(2)1648 3903 y Fy(i)20 b FI(+)g Fy(h)p Fz(d)1876 3917 y Fr(g)1917 3903 y Fz(f)1962 3917 y FJ(2)2001 3903 y Fz(;)15 b Fy(r)2117 3917 y Fr(m)2184 3903 y Fz(f)2229 3917 y FJ(1)2268 3903 y Fy(i)20 b(\000)g(h)p Fz(m;)15 b FI([)p Fy(r)2670 3917 y Fr(m)2737 3903 y Fz(f)2782 3917 y FJ(1)2821 3903 y Fz(;)g Fy(r)2937 3917 y Fr(m)3004 3903 y Fz(f)3049 3917 y FJ(2)3088 3903 y FI(])g Fy(i)26 b Fz(:)497 b FI(\(4.9\))0 4080 y Fv(Pro)s(of.)41 b FI(This)29 b(time)h(the)h(discrete)f(Euler{Lagrange)g(equations)g(\(2.7\))i(are)f (rewritten)f(as)1264 4257 y Fz(d)1311 4271 y FJ(1)1351 4257 y Fu(L)s FI(\()q Fz(g)1484 4272 y Fr(k)1533 4257 y Fz(;)15 b(g)1616 4272 y Fr(k)r FJ(+1)1749 4257 y FI(\))21 b(+)f Fz(d)1943 4271 y FJ(2)1983 4257 y Fu(L)s FI(\()q Fz(g)2116 4272 y Fr(k)r Fq(\000)p FJ(1)2255 4257 y Fz(;)15 b(g)2338 4272 y Fr(k)2381 4257 y FI(\))26 b(=)f(0)g Fz(;)1032 b FI(\(4.10\))0 4434 y(and)30 b(the)g(expressions)f(for)h(these)h(Lie)f (deriv)-5 b(ativ)m(es)30 b(in)f(terms)h(of)h(\()p Fz(g)s(;)15 b(w)r FI(\))32 b(read:)1231 4610 y Fz(d)1278 4624 y FJ(2)1318 4610 y Fu(L)t FI(\()p Fz(g)1451 4625 y Fr(k)r Fq(\000)p FJ(1)1590 4610 y Fz(;)15 b(g)1673 4625 y Fr(k)1717 4610 y FI(\))25 b(=)g Fz(d)1920 4624 y Fr(w)1977 4610 y Fu(L)2032 4573 y FJ(\()p Fr(r)r FJ(\))2131 4610 y FI(\()p Fz(g)2209 4625 y Fr(k)r Fq(\000)p FJ(1)2342 4610 y Fz(;)15 b(w)2447 4625 y Fr(k)r Fq(\000)p FJ(1)2580 4610 y FI(\))26 b Fz(;)999 b FI(\(4.11\))148 4868 y Fz(d)195 4882 y FJ(1)235 4868 y Fu(L)s FI(\()q Fz(g)368 4883 y Fr(k)417 4868 y Fz(;)15 b(g)500 4883 y Fr(k)r FJ(+1)633 4868 y FI(\))26 b(=)f Fz(d)837 4882 y Fr(g)877 4868 y Fu(L)932 4830 y FJ(\()p Fr(r)r FJ(\))1031 4868 y FI(\()p Fz(g)1109 4883 y Fr(k)1152 4868 y Fz(;)15 b(w)1257 4883 y Fr(k)1300 4868 y FI(\))21 b Fy(\000)f Fz(d)1509 4830 y Fq(0)1497 4890 y Fr(w)1554 4868 y Fu(L)1609 4830 y FJ(\()p Fr(r)r FJ(\))1707 4868 y FI(\()p Fz(g)1785 4883 y Fr(k)1829 4868 y Fz(;)15 b(w)1934 4883 y Fr(k)1977 4868 y FI(\))26 b(=)e Fz(d)2180 4882 y Fr(g)2221 4868 y Fu(L)2276 4830 y FJ(\()p Fr(r)r FJ(\))2374 4868 y FI(\()p Fz(g)2452 4883 y Fr(k)2496 4868 y Fz(;)15 b(w)2601 4883 y Fr(k)2644 4868 y FI(\))20 b Fy(\000)g FI(Ad)2909 4830 y Fq(\003)2964 4868 y Fz(w)3029 4883 y Fr(k)3092 4868 y Fy(\001)g Fz(d)3184 4882 y Fr(w)3241 4868 y Fu(L)3296 4830 y FJ(\()p Fr(r)r FJ(\))3394 4868 y FI(\()p Fz(g)3472 4883 y Fr(k)3516 4868 y Fz(;)15 b(w)3621 4883 y Fr(k)3664 4868 y FI(\))26 b Fz(:)3665 4981 y FI(\(4.12\))0 5155 y(Finally)-8 b(,)31 b(the)h(expression)f(\(4.7\))j(is)d(consisten) m(t)h(with)e(the)j(de\014nitions)c(\(2.8\),)34 b(\(4.2\),)h(whic)m(h)30 b(imply)g(that)j Fz(m)3757 5170 y Fr(k)3827 5155 y FI(=)0 5268 y Fz(d)47 5282 y FJ(2)87 5268 y Fu(L)s FI(\()q Fz(g)220 5283 y Fr(k)r Fq(\000)p FJ(1)359 5268 y Fz(;)15 b(g)442 5283 y Fr(k)485 5268 y FI(\),)31 b(and)f(a)h(reference)g(to)g(\(4.11\)) h(\014nishes)d(the)h(pro)s(of.)p 2333 5268 71 71 v 1903 5517 a(10)p eop %%Page: 11 11 11 10 bop 0 635 a FL(4.2)112 b(Reduction)37 b(of)g(righ)m(t)f(in)m(v)-6 b(arian)m(t)37 b(Lagrangians)0 806 y FI(Assume)i(that)h(the)g(function) f Fu(L)1138 773 y FJ(\()q Fr(r)r FJ(\))1277 806 y FI(is)f(in)m(v)-5 b(arian)m(t)39 b(under)f(the)i(action)g(of)g Fz(G)2668 773 y FJ([)p Fr(a)p FJ(])2788 806 y FI(on)g Fz(G)26 b Fy(\002)g Fz(G)39 b FI(induced)e(b)m(y)j Ft(right)0 919 y FI(translations)29 b(on)h Fz(G)p FI(:)1222 1122 y Fu(L)1276 1085 y FJ(\()q Fr(r)r FJ(\))1375 1122 y FI(\()p Fz(g)s(h;)15 b(w)r FI(\))28 b(=)d Fu(L)1829 1085 y FJ(\()p Fr(r)r FJ(\))1928 1122 y FI(\()p Fz(g)s(;)15 b(w)r FI(\))27 b Fz(;)106 b(h)26 b Fy(2)f Fz(G)2545 1085 y FJ([)p Fr(a)p FJ(])2651 1122 y Fz(:)989 b FI(\(4.13\))0 1338 y(De\014ne)31 b(the)f(reduced)g(Lagrange)h(function)e(\003)1591 1305 y FJ(\()p Fr(r)r FJ(\))1725 1338 y FI(:)40 b Fz(G)20 b Fy(\002)g Fz(O)2042 1352 y Fr(a)2109 1338 y Fy(7!)25 b Fu(R)39 b FI(as)1012 1541 y(\003)1075 1503 y FJ(\()p Fr(r)r FJ(\))1168 1541 y FI(\()p Fz(w)r(;)15 b(p)p FI(\))26 b(=)f Fu(L)1568 1503 y FJ(\()p Fr(r)r FJ(\))1667 1541 y FI(\()p Fz(g)s(;)15 b(w)r FI(\))27 b Fz(;)106 b FI(where)91 b Fz(p)25 b FI(=)g(\010\()p Fz(g)s FI(\))c Fy(\001)g Fz(a)k(:)779 b FI(\(4.14\))0 1744 y Fv(Theorem)34 b(4.2)46 b FI(a\))37 b Ft(Consider)g(the)f(r)-5 b(e)g(duction)38 b FI(\()p Fz(g)s(;)15 b(w)r FI(\))33 b Fy(7!)f FI(\()p Fz(w)r(;)15 b(p)p FI(\))p Ft(.)53 b(The)36 b(r)-5 b(e)g(duc)g(e)g(d)38 b(Euler{L)-5 b(agr)g(ange)38 b(e)-5 b(quations)0 1857 y FI(\(4.6\))34 b Ft(b)-5 b(e)g(c)g(ome)34 b(the)f(fol)5 b(lowing)34 b Fv(discrete)h(Euler{P)m(oincar)n(\023)-50 b(e)36 b(equations)p Ft(:)1011 1986 y Fs(8)1011 2067 y(<)1011 2231 y(:)1133 2061 y FI(Ad)1252 2024 y Fq(\003)1306 2061 y Fz(w)1371 2076 y Fr(k)1434 2061 y Fy(\001)21 b Fz(m)1560 2076 y Fr(k)r FJ(+1)1718 2061 y FI(=)k Fz(m)1894 2076 y Fr(k)1956 2061 y Fy(\000)20 b(r)2123 2075 y Fr(p)2163 2061 y FI(\003)2226 2028 y FJ(\()p Fr(r)r FJ(\))2319 2061 y FI(\()p Fz(w)2419 2076 y Fr(k)2462 2061 y Fz(;)15 b(p)2548 2076 y Fr(k)2590 2061 y FI(\))21 b Fy(\005)g Fz(p)2758 2076 y Fr(k)2825 2061 y Fz(;)1133 2287 y(p)1179 2302 y Fr(k)r FJ(+1)1337 2287 y FI(=)k(\010\()p Fz(w)1599 2302 y Fr(k)1642 2287 y FI(\))20 b Fy(\001)h Fz(p)1789 2302 y Fr(k)1856 2287 y Fz(;)3665 2172 y FI(\(4.15\))0 2482 y Ft(wher)-5 b(e)1330 2685 y Fz(m)1410 2700 y Fr(k)1478 2685 y FI(=)25 b Fz(d)1621 2699 y Fr(w)1677 2685 y FI(\003)1740 2648 y FJ(\()p Fr(r)r FJ(\))1833 2685 y FI(\()p Fz(w)1933 2700 y Fr(k)r Fq(\000)p FJ(1)2067 2685 y Fz(;)15 b(p)2153 2700 y Fr(k)r Fq(\000)p FJ(1)2286 2685 y FI(\))25 b Fy(2)g Fg(g)2478 2648 y Fq(\003)2543 2685 y Fz(:)1097 b FI(\(4.16\))0 2889 y Ft(They)33 b(describ)-5 b(e)33 b(extr)-5 b(emals)34 b(of)f(the)g(c)-5 b(onstr)g(aine)g(d)36 b(variational)f(principle,)e (with)g(the)g(functional)1466 3175 y Fz(S)1527 3137 y FJ(\()p Fr(r)r FJ(\))1645 3175 y FI(=)1741 3060 y Fr(k)1778 3069 y FD(1)1812 3060 y Fq(\000)p FJ(1)1756 3088 y Fs(X)1786 3286 y Fr(k)1823 3295 y FD(0)1918 3175 y FI(\003)1981 3137 y FJ(\()p Fr(r)r FJ(\))2074 3175 y FI(\()p Fz(w)2174 3190 y Fr(k)2217 3175 y Fz(;)15 b(p)2303 3190 y Fr(k)2346 3175 y FI(\))25 b Fz(;)1234 b FI(\(4.17\))0 3471 y Ft(and)34 b(the)f(admissible)g(variations)i Fy(f)p FI(\()17 b Fs(e)-68 b Fz(w)1336 3486 y Fr(k)1379 3471 y Fz(;)21 b Fs(e)-57 b Fz(p)1465 3486 y Fr(k)1508 3471 y FI(\))p Fy(g)33 b Ft(of)g Fy(f)p FI(\()p Fz(w)1873 3486 y Fr(k)1917 3471 y Fz(;)15 b(p)2003 3486 y Fr(k)2046 3471 y FI(\))p Fy(g)33 b Ft(of)g(the)g(form)989 3674 y Fs(e)-67 b Fz(w)1038 3689 y Fr(k)1106 3674 y FI(=)25 b Fz(e)1244 3637 y Fr(\021)1279 3649 y Fp(k)q FD(+1)1395 3637 y Fq(\000)p FJ(Ad)11 b Fr(w)1604 3649 y Fp(k)1642 3637 y Fq(\001)p Fr(\021)1697 3649 y Fp(k)1739 3674 y Fz(w)1804 3689 y Fr(k)1872 3674 y Fz(;)207 b Fs(e)-56 b Fz(p)2145 3689 y Fr(k)2212 3674 y FI(=)25 b Fz(p)2354 3689 y Fr(k)2417 3674 y FI(+)20 b Fz(\036)p FI(\()p Fz(\021)2642 3689 y Fr(k)2685 3674 y FI(\))h Fy(\001)f Fz(p)2832 3689 y Fr(k)2900 3674 y Fz(;)740 b FI(\(4.18\))0 3893 y Ft(wher)-5 b(e)34 b Fy(f)p Fz(\021)347 3908 y Fr(k)390 3893 y Fy(g)435 3853 y Fr(k)472 3862 y FD(1)435 3923 y Fr(k)r FJ(=)p Fr(k)566 3932 y FD(0)637 3893 y Ft(is)e(an)i(arbitr)-5 b(ary)34 b(se)-5 b(quenc)g(e)33 b(of)g(elements)g(of)g(the)g(Lie)f(algebr)-5 b(a)34 b Fg(g)e Ft(with)h Fz(\021)3140 3908 y Fr(k)3177 3917 y FD(0)3241 3893 y FI(=)25 b Fz(\021)3382 3908 y Fr(k)3419 3917 y FD(1)3483 3893 y FI(=)g(0)p Ft(.)141 4006 y FI(b\))33 b Ft(If)f(the)h(\\L)-5 b(e)g(gendr)g(e)34 b(tr)-5 b(ansformation)c(")1037 4209 y FI(\()p Fz(w)1137 4224 y Fr(k)r Fq(\000)p FJ(1)1270 4209 y Fz(;)15 b(p)1356 4224 y Fr(k)r Fq(\000)p FJ(1)1489 4209 y FI(\))25 b Fy(2)g Fz(G)20 b Fy(\002)g Fz(O)1887 4223 y Fr(a)1954 4209 y Fy(7!)25 b FI(\()p Fz(m)2185 4224 y Fr(k)2228 4209 y Fz(;)15 b(p)2314 4224 y Fr(k)2357 4209 y FI(\))25 b Fy(2)g Fg(g)2549 4172 y Fq(\003)2609 4209 y Fy(\002)20 b Fz(O)2769 4223 y Fr(a)2836 4209 y Fz(;)804 b FI(\(4.19\))0 4412 y Ft(wher)-5 b(e)43 b Fz(p)312 4427 y Fr(k)398 4412 y FI(=)f(\010\()p Fz(w)677 4427 y Fr(k)r Fq(\000)p FJ(1)810 4412 y FI(\))27 b Fy(\001)h Fz(p)971 4427 y Fr(k)r Fq(\000)p FJ(1)1103 4412 y Ft(,)45 b(is)d(invertible,)j(then)d FI(\(4.15\))j Ft(de\014ne)d(a)h(map)g FI(\()p Fz(m)2895 4427 y Fr(k)2938 4412 y Fz(;)15 b(p)3024 4427 y Fr(k)3067 4412 y FI(\))43 b Fy(7!)g FI(\()p Fz(m)3394 4427 y Fr(k)r FJ(+1)3527 4412 y Fz(;)15 b(p)3613 4427 y Fr(k)r FJ(+1)3746 4412 y FI(\))42 b Ft(of)0 4525 y Fg(g)46 4492 y Fq(\003)105 4525 y Fy(\002)20 b Fz(O)265 4539 y Fr(a)340 4525 y Ft(which)33 b(is)g(Poisson)g(with)h(r)-5 b(esp)g(e)g(ct)34 b(to)f(the)g(br)-5 b(acket)373 4728 y Fy(f)p Fz(F)476 4742 y FJ(1)517 4728 y Fz(;)15 b(F)615 4742 y FJ(2)655 4728 y Fy(g)26 b FI(=)f Fy(\000h)p Fz(m;)15 b FI([)p Fy(r)1149 4742 y Fr(m)1216 4728 y Fz(F)1274 4742 y FJ(1)1313 4728 y Fz(;)g Fy(r)1429 4742 y Fr(m)1496 4728 y Fz(F)1554 4742 y FJ(2)1594 4728 y FI(])g Fy(i)21 b(\000)f(hr)1892 4742 y Fr(p)1932 4728 y Fz(F)1990 4742 y FJ(1)2030 4728 y Fz(;)15 b(\036)p FI(\()p Fy(r)2235 4742 y Fr(m)2302 4728 y Fz(F)2360 4742 y FJ(2)2400 4728 y FI(\))20 b Fy(\001)h Fz(p)15 b Fy(i)20 b FI(+)g Fy(hr)2819 4742 y Fr(p)2859 4728 y Fz(F)2917 4742 y FJ(2)2957 4728 y Fz(;)15 b(\036)p FI(\()p Fy(r)3162 4742 y Fr(m)3229 4728 y Fz(F)3287 4742 y FJ(1)3327 4728 y FI(\))21 b Fy(\001)f Fz(p)15 b Fy(i)3665 4841 y FI(\(4.20\))0 5042 y Ft(for)29 b(two)g(arbitr)-5 b(ary)30 b(functions)f Fz(F)1130 5056 y FJ(1)p Fr(;)p FJ(2)1224 5042 y FI(\()p Fz(m;)15 b(p)p FI(\))26 b(:)g Fg(g)1583 5009 y Fq(\003)1632 5042 y Fy(\002)10 b Fz(O)1782 5056 y Fr(a)1850 5042 y Fy(7!)25 b Fu(R)s Ft(.)46 b(This)28 b(formula)i(inde)-5 b(e)g(d)29 b(de\014nes)g(a)f(Poisson)h(br)-5 b(acket)0 5155 y(on)36 b(al)5 b(l)35 b(of)h Fg(g)421 5122 y Fq(\003)482 5155 y Fy(\002)22 b Fz(V)e Ft(,)36 b(the)g(Lie{Poisson)g(br)-5 b(acket)36 b(of)f(the)h(semipr)-5 b(o)g(duct)38 b(Lie)c(algebr)-5 b(a)37 b Fg(g)22 b Fu(n)g Fz(V)3170 5122 y Fq(\003)3244 5155 y Ft(c)-5 b(orr)g(esp)g(onding)39 b(to)0 5268 y(the)33 b(r)-5 b(epr)g(esentation)35 b Fy(\000)p Fz(\036)868 5235 y Fq(\003)940 5268 y Ft(of)e Fg(g)f Ft(in)h Fz(V)1310 5235 y Fq(\003)1350 5268 y Ft(.)1903 5517 y FI(11)p eop %%Page: 12 12 12 11 bop 0 635 a Fv(Pro)s(of)31 b FI(is)f(based)g(on)g(the)g(follo)m (wing)f(simple)g(result:)39 b(if)30 b Fz(f)10 b FI(\()p Fz(g)s FI(\))26 b(=)e Fz(F)13 b FI(\(\010\()p Fz(g)s FI(\))22 b Fy(\001)f Fz(a)p FI(\),)31 b(then)1508 839 y Fz(d)-15 b(f)10 b FI(\()p Fz(g)s FI(\))26 b(=)f Fy(\000r)1980 853 y Fr(p)2020 839 y Fz(F)13 b FI(\()p Fz(p)p FI(\))20 b Fy(\005)h Fz(p)k(:)0 1043 y FI(Notice)31 b(that)g(the)g(brac)m(k)m (ets)h(\(3.29\))g(and)e(\(4.20\))j(essen)m(tially)c(coincide)h (\(di\013er)f(only)h(b)m(y)g(a)h(sign\).)p 3412 1043 71 71 v 141 1203 a(A)h(table)f(summarizing)f(the)h(unreduced)f(and)h (reduced)g(Lagrangian)g(equations)h(of)f(motion,)h(b)s(oth)f(in)f(the)0 1316 y(con)m(tin)m(uous)d(and)f(discrete)g(time)h(form)m(ulations,)f (is)g(put)g(in)g(App)s(endix)e(A.)j(The)f(con)m(tin)m(uous)h(time)f (results)g(w)m(ere)0 1429 y(obtained)k(in)f([HMR],[CHMR];)j(they)f (also)f(ma)m(y)i(b)s(e)d(deriv)m(ed)h(b)m(y)g(taking)h(a)g(con)m(tin)m (uous)f(limit)e(of)j(our)f(presen)m(t)0 1542 y(results.)0 1829 y FA(5)135 b(Conclusion)0 2031 y FI(W)-8 b(e)45 b(consider)e(the)h(discrete)f(time)h(Lagrangian)g(mec)m(hanics)f(on)h (Lie)f(groups)h(as)g(an)f(imp)s(ortan)m(t)g(source)h(of)0 2144 y(symplectic)33 b(and,)g(more)h(general,)g(P)m(oisson)g(maps.)49 b(Moreo)m(v)m(er,)37 b(from)c(some)g(p)s(oin)m(ts)g(of)g(view)g(the)h (v)-5 b(ariational)0 2257 y(\(Lagrangian\))35 b(structure)f(is)f(ev)m (en)i(more)g(fundamen)m(tal)e(and)g(imp)s(ortan)m(t)h(than)g(the)h(P)m (oisson)f(\(Hamiltonian\))0 2370 y(one)43 b(\(cf.)76 b([HMR)q(],)46 b([MPS],)f(where)d(a)h(similar)c(viewp)s(oin)m(t)i(is)g (represen)m(ted\).)77 b(In)41 b(particular,)j(discrete)e(La-)0 2483 y(grangians)35 b(on)h Fz(G)24 b Fy(\002)f Fz(G)35 b FI(ma)m(y)i(serv)m(e)g(as)f(mo)s(dels)e(for)i(the)g(rigid)e(b)s(o)s (dy)g(motion)i(\(cf.)58 b([WM)q(]\).)g(The)35 b(in)m(tegrable)0 2596 y(cases)26 b(of)f(Euler)e(\(a)i(free)g(rotation)h(of)e(a)i(rigid)c (b)s(o)s(dy)i(\014xed)g(at)h(the)g(cen)m(ter)h(of)f(mass\))g(and)f(of)h (Lagrange)h(\(symmet-)0 2709 y(ric)f(spinning)e(top\))j(are)g (discretized)f(in)g(this)f(framew)m(ork)i(preserving)f(the)h(in)m (tegrabilit)m(y)e(prop)s(ert)m(y)h(in)g([V],[MV])0 2822 y(and)31 b(in)g([BS],)i(resp)s(ectiv)m(ely)-8 b(.)46 b(It)32 b(w)m(ould)f(b)s(e)g(in)m(teresting)g(and)h(imp)s(ortan)m(t)f (to)i(apply)e(the)h(ab)s(o)m(v)m(e)h(theory)g(to)f(the)0 2935 y(in\014nite)c(dimensional)g(case,)j(e.g.)42 b(to)31 b(discretization)f(of)g(ideal)f(compressible)g(\015uids)f(motion)i (\(see)h([HMR]\).)0 3221 y FA(A)134 b(Euler{Lagrange)47 b(and)e(Euler{P)l(oincar)m(\023)-64 b(e)46 b(equations)p 0 3346 3170 4 v -2 3446 4 100 v 1278 3446 V 3168 3446 V -2 3545 V 216 3515 a FG(CONTINUOUS)28 b(TIME)p 1278 3545 V 1278 3545 V 869 w(DISCRETE)f(TIME)p 3168 3545 V -2 3645 V 1278 3645 V 3168 3645 V 0 3648 3170 4 v 0 3665 V -2 3764 4 100 v 3168 3764 V -2 3864 V 1072 3834 a(General)g(Lagrangian)e(systems)p 3168 3864 V -2 3964 V 3168 3964 V 0 3967 3170 4 v -2 4067 4 100 v 1278 4067 V 3168 4067 V -2 4166 V 50 4136 a FH(L)p FG(\()p FF(g)s(;)h FG(_)-35 b FF(g)s FG(\))p 1278 4166 V 1035 w Ff(L)q FG(\()q FF(g)1451 4148 y Fe(k)1497 4136 y FF(;)14 b(g)1574 4148 y Fe(k)q Fd(+1)1699 4136 y FG(\))p 3168 4166 V -2 4266 V 1278 4266 V 3168 4266 V -2 4472 4 206 v 50 4273 a Fc(\032)154 4336 y FG(\005)23 b(=)g FE(r)406 4348 y Fd(_)-29 b Fe(g)434 4336 y FH(L)173 4421 y FG(_)154 4442 y(\005)23 b(=)g FE(r)396 4454 y Fe(g)434 4442 y FH(L)p 1278 4472 V 1329 4273 a Fc(\032)1433 4339 y FG(\005)1495 4351 y Fe(k)1559 4339 y FG(=)g FE(\000r)1781 4351 y Fd(1)1818 4339 y Ff(L)q FG(\()p FF(g)1939 4351 y Fe(k)1986 4339 y FF(;)14 b(g)2063 4351 y Fe(k)q Fd(+1)2187 4339 y FG(\))1433 4439 y(\005)1495 4451 y Fe(k)q Fd(+1)1643 4439 y FG(=)23 b FE(r)1800 4451 y Fd(2)1837 4439 y Ff(L)q FG(\()q FF(g)1959 4451 y Fe(k)2005 4439 y FF(;)14 b(g)2082 4451 y Fe(k)q Fd(+1)2207 4439 y FG(\))p 3168 4472 V -2 4572 4 100 v 1278 4572 V 3168 4572 V 0 4575 3170 4 v 0 4591 V 1903 5517 a FI(12)p eop %%Page: 13 13 13 12 bop 0 547 3249 4 v 0 563 V -2 663 4 100 v 3247 663 V -2 765 4 102 v 294 733 a FG(Left)28 b(trivialization,)f(left)h (symmetry)f(reduction:)83 b FF(M)32 b FG(=)22 b FF(L)2221 703 y Fb(\003)2221 753 y Fe(g)2259 733 y FG(\005)14 b FF(;)61 b(P)34 b FG(=)23 b(\010\()p FF(g)2729 703 y Fb(\000)p Fd(1)2818 733 y FG(\))c FE(\001)f FF(a)p 3247 765 V -2 864 4 100 v 3247 864 V 0 867 3249 4 v -2 967 4 100 v 1307 967 V 3247 967 V -2 1071 4 104 v 50 1041 a FH(L)p FG(\()p FF(g)s(;)26 b FG(_)-35 b FF(g)s FG(\))23 b(=)g FE(L)462 1011 y Fd(\()p Fe(l)p Fd(\))539 1041 y FG(\(\012)p FF(;)14 b(P)e FG(\))p 1307 1071 V 593 w Ff(L)q FG(\()q FF(g)1480 1053 y Fe(k)1526 1041 y FF(;)i(g)1603 1053 y Fe(k)q Fd(+1)1728 1041 y FG(\))23 b(=)f(\003)1928 1011 y Fd(\()p Fe(l)p Fd(\))2006 1041 y FG(\()p FF(W)2116 1053 y Fe(k)2157 1041 y FF(;)14 b(P)2247 1053 y Fe(k)2288 1041 y FG(\))p 3247 1071 V -2 1174 4 103 v 50 1144 a(\012)23 b(=)f FF(L)277 1159 y Fe(g)311 1143 y Fi(\000)p Fh(1)389 1159 y Fb(\003)439 1144 y FG(_)-35 b FF(g)16 b(;)60 b(P)35 b FG(=)23 b(\010\()p FF(g)877 1114 y Fb(\000)p Fd(1)966 1144 y FG(\))c FE(\001)f FF(a)p 1307 1174 V 256 w(W)1436 1156 y Fe(k)1500 1144 y FG(=)23 b FF(g)1631 1108 y Fb(\000)p Fd(1)1628 1169 y Fe(k)1720 1144 y FF(g)1760 1156 y Fe(k)q Fd(+1)1898 1144 y FF(;)60 b(P)2034 1156 y Fe(k)2098 1144 y FG(=)23 b(\010\()p FF(g)2321 1108 y Fb(\000)p Fd(1)2318 1169 y Fe(k)2410 1144 y FG(\))c FE(\001)f FF(a)p 3247 1174 V -2 1273 4 100 v 1307 1273 V 3247 1273 V -2 1379 4 106 v 50 1347 a(M)31 b FG(=)23 b FF(L)307 1317 y Fb(\003)307 1367 y Fe(g)345 1347 y FG(\005)h(=)e FE(r)587 1359 y Fd(\012)639 1347 y FE(L)696 1317 y Fd(\()p Fe(l)p Fd(\))p 1307 1379 V 1358 1347 a FF(M)1439 1359 y Fe(k)1502 1347 y FG(=)h FF(L)1647 1317 y Fb(\003)1647 1367 y Fe(g)1679 1376 y Fa(k)1719 1347 y FG(\005)1781 1359 y Fe(k)1846 1347 y FG(=)f FF(d)1990 1317 y Fb(0)1978 1370 y Fe(W)2054 1347 y FG(\003)2112 1317 y Fd(\()p Fe(l)p Fd(\))2190 1347 y FG(\()p FF(W)2300 1359 y Fe(k)q Fb(\000)p Fd(1)2426 1347 y FF(;)14 b(P)2516 1359 y Fe(k)q Fb(\000)p Fd(1)2642 1347 y FG(\))p 3247 1379 V -2 1478 4 100 v 1307 1478 V 3247 1478 V -2 1691 4 213 v 50 1488 a Fc(\032)194 1534 y FG(_)154 1555 y FF(M)31 b FG(=)23 b(ad)442 1518 y Fb(\003)494 1555 y FG(\012)18 b FE(\001)g FF(M)27 b FG(+)19 b FE(r)874 1567 y Fe(P)929 1555 y FE(L)986 1525 y Fd(\()p Fe(l)p Fd(\))1082 1555 y FE(\005)e FF(P)181 1640 y FG(_)154 1661 y FF(P)34 b FG(=)23 b FE(\000)p FF(\036)p FG(\(\012\))c FE(\001)g FF(P)p 1307 1691 V 1358 1488 a Fc(\032)1462 1555 y FG(Ad)1570 1518 y Fb(\003)1622 1555 y FF(W)1712 1520 y Fb(\000)p Fd(1)1700 1580 y Fe(k)1820 1555 y FE(\001)f FF(M)1942 1567 y Fe(k)q Fd(+1)2090 1555 y FG(=)k FF(M)2258 1567 y Fe(k)2317 1555 y FG(+)c FE(r)2469 1567 y Fe(P)2525 1555 y FG(\003)2583 1525 y Fd(\()p Fe(l)p Fd(\))2660 1555 y FG(\()p FF(W)2770 1567 y Fe(k)2811 1555 y FF(;)c(P)2901 1567 y Fe(k)2942 1555 y FG(\))19 b FE(\005)e FF(P)3106 1567 y Fe(k)1462 1658 y FF(P)1515 1670 y Fe(k)q Fd(+1)1663 1658 y FG(=)23 b(\010\()p FF(W)1933 1622 y Fb(\000)p Fd(1)1921 1683 y Fe(k)2022 1658 y FG(\))c FE(\001)f FF(P)2167 1670 y Fe(k)p 3247 1691 V -2 1791 4 100 v 1307 1791 V 3247 1791 V 0 1794 3249 4 v 0 1811 V -2 1910 4 100 v 3247 1910 V -2 2012 4 102 v 300 1980 a FG(Righ)n(t)27 b(trivialization,)g(righ)n(t)g(symmetry)g(reduction:)83 b FF(m)23 b FG(=)f FF(R)2328 1950 y Fb(\003)2327 2000 y Fe(g)2366 1980 y FG(\005)14 b FF(;)60 b(p)23 b FG(=)g(\010\()p FF(g)s FG(\))18 b FE(\001)h FF(a)p 3247 2012 V -2 2111 4 100 v 3247 2111 V 0 2115 3249 4 v -2 2214 4 100 v 1307 2214 V 3247 2214 V -2 2318 4 104 v 50 2288 a FH(L)p FG(\()p FF(g)s(;)26 b FG(_)-35 b FF(g)s FG(\))23 b(=)g FE(L)462 2258 y Fd(\()p Fe(r)r Fd(\))550 2288 y FG(\()p FF(!)s(;)14 b(p)p FG(\))p 1307 2318 V 610 w Ff(L)q FG(\()q FF(g)1480 2300 y Fe(k)1526 2288 y FF(;)g(g)1603 2300 y Fe(k)q Fd(+1)1728 2288 y FG(\))23 b(=)f(\003)1928 2258 y Fd(\()p Fe(r)r Fd(\))2017 2288 y FG(\()p FF(w)2108 2300 y Fe(k)2149 2288 y FF(;)14 b(p)2228 2300 y Fe(k)2269 2288 y FG(\))p 3247 2318 V -2 2421 4 103 v 50 2391 a FF(!)26 b FG(=)c FF(R)278 2407 y Fe(g)312 2390 y Fi(\000)p Fh(1)390 2407 y Fb(\003)440 2391 y FG(_)-35 b FF(g)17 b(;)60 b(p)22 b FG(=)h(\010\()p FF(g)s FG(\))c FE(\001)f FF(a)p 1307 2421 V 367 w(w)1417 2403 y Fe(k)1481 2391 y FG(=)23 b FF(g)1609 2403 y Fe(k)q Fd(+1)1734 2391 y FF(g)1777 2355 y Fb(\000)p Fd(1)1774 2416 y Fe(k)1879 2391 y FF(;)60 b(p)2004 2403 y Fe(k)2068 2391 y FG(=)22 b(\010\()p FF(g)2287 2403 y Fe(k)2328 2391 y FG(\))d FE(\001)f FF(a)p 3247 2421 V -2 2520 4 100 v 1307 2520 V 3247 2520 V -2 2626 4 106 v 50 2594 a(m)23 b FG(=)f FF(R)297 2564 y Fb(\003)296 2615 y Fe(g)335 2594 y FG(\005)i(=)e FE(r)577 2606 y Fe(!)625 2594 y FE(L)682 2564 y Fd(\()p Fe(r)r Fd(\))p 1307 2626 V 1358 2594 a FF(m)1431 2606 y Fe(k)1495 2594 y FG(=)g FF(R)1646 2564 y Fb(\003)1645 2615 y Fe(g)1677 2624 y Fa(k)1718 2594 y FG(\005)1780 2606 y Fe(k)1845 2594 y FG(=)g FF(d)1975 2606 y Fe(w)2029 2594 y FG(\003)2087 2564 y Fd(\()p Fe(r)r Fd(\))2175 2594 y FG(\()p FF(w)2266 2606 y Fe(k)q Fb(\000)p Fd(1)2393 2594 y FF(;)14 b(p)2472 2606 y Fe(k)q Fb(\000)p Fd(1)2597 2594 y FG(\))p 3247 2626 V -2 2726 4 100 v 1307 2726 V 3247 2726 V -2 2929 4 204 v 50 2731 a Fc(\032)179 2799 y FG(_)-48 b FF(m)23 b FG(=)f FE(\000)p FG(ad)489 2762 y Fb(\003)541 2799 y FF(!)f FE(\001)e FF(m)f FE(\000)g(r)899 2811 y Fe(p)938 2799 y FE(L)995 2769 y Fd(\()p Fe(r)r Fd(\))1102 2799 y FE(\005)f FF(p)170 2899 y FG(_)-39 b FF(p)22 b FG(=)h FF(\036)p FG(\()p FF(!)s FG(\))c FE(\001)g FF(p)p 1307 2929 V 1358 2731 a Fc(\032)1462 2799 y FG(Ad)1570 2762 y Fb(\003)1622 2799 y FF(w)1681 2811 y Fe(k)1741 2799 y FE(\001)f FF(m)1855 2811 y Fe(k)q Fd(+1)2003 2799 y FG(=)23 b FF(m)2164 2811 y Fe(k)2223 2799 y FE(\000)18 b(r)2375 2811 y Fe(p)2414 2799 y FG(\003)2472 2769 y Fd(\()p Fe(r)r Fd(\))2560 2799 y FG(\()p FF(w)2651 2811 y Fe(k)2693 2799 y FF(;)c(p)2772 2811 y Fe(k)2812 2799 y FG(\))19 b FE(\005)e FF(p)2965 2811 y Fe(k)1462 2899 y FF(p)1504 2911 y Fe(k)q Fd(+1)1652 2899 y FG(=)22 b(\010\()p FF(w)1890 2911 y Fe(k)1932 2899 y FG(\))c FE(\001)h FF(p)2066 2911 y Fe(k)p 3247 2929 V -2 3028 4 100 v 1307 3028 V 3247 3028 V 0 3032 3249 4 v 0 3048 V 141 3238 a FI(The)31 b(relation)g(b)s(et)m(w)m(een)h(the)g(con)m(tin)m(uous)f(time)g(and)g (the)g(discrete)h(time)f(equations)g(is)f(established,)h(if)f(w)m(e)0 3351 y(set)509 3464 y Fz(g)552 3479 y Fr(k)620 3464 y FI(=)25 b Fz(g)k(;)198 b(g)1054 3479 y Fr(k)r FJ(+1)1212 3464 y FI(=)25 b Fz(g)f FI(+)c Fz(")13 b FI(_)-38 b Fz(g)24 b FI(+)c Fz(O)s FI(\()p Fz(")1815 3426 y FJ(2)1855 3464 y FI(\))25 b Fz(;)198 b Fu(L)s FI(\()q Fz(g)2271 3479 y Fr(k)2320 3464 y Fz(;)15 b(g)2403 3479 y Fr(k)r FJ(+1)2536 3464 y FI(\))26 b(=)f Fz(")p Fv(L)p FI(\()p Fz(g)s(;)30 b FI(_)-40 b Fz(g)5 b FI(\))21 b(+)f Fz(O)s FI(\()p Fz(")3263 3426 y FJ(2)3303 3464 y FI(\))25 b(;)414 3631 y Fz(P)472 3646 y Fr(k)540 3631 y FI(=)g Fz(P)38 b(;)197 b(W)1040 3646 y Fr(k)1108 3631 y FI(=)25 b Fv(1)20 b FI(+)g Fz(")p FI(\012)h(+)f Fz(O)s FI(\()p Fz(")1736 3593 y FJ(2)1776 3631 y FI(\))25 b Fz(;)197 b FI(\003)2121 3593 y FJ(\()p Fr(l)q FJ(\))2202 3631 y FI(\()p Fz(W)2323 3646 y Fr(k)2366 3631 y Fz(;)15 b(P)2464 3646 y Fr(k)2508 3631 y FI(\))25 b(=)g Fz(")p Fy(L)2769 3593 y FJ(\()p Fr(l)q FJ(\))2850 3631 y FI(\(\012)p Fz(;)15 b(P)e FI(\))21 b(+)f Fz(O)s FI(\()p Fz(")3358 3593 y FJ(2)3398 3631 y FI(\))26 b(;)466 3797 y Fz(p)512 3812 y Fr(k)580 3797 y FI(=)f Fz(p)g(;)197 b(w)1034 3812 y Fr(k)1102 3797 y FI(=)25 b Fv(1)20 b FI(+)g Fz("!)k FI(+)c Fz(O)s FI(\()p Fz(")1724 3760 y FJ(2)1764 3797 y FI(\))25 b Fz(;)197 b FI(\003)2109 3760 y FJ(\()p Fr(r)r FJ(\))2202 3797 y FI(\()p Fz(w)2302 3812 y Fr(k)2346 3797 y Fz(;)15 b(p)2432 3812 y Fr(k)2474 3797 y FI(\))26 b(=)f Fz(")p Fy(L)2736 3760 y FJ(\()p Fr(r)r FJ(\))2829 3797 y FI(\()p Fz(!)s(;)15 b(p)p FI(\))21 b(+)f Fz(O)s FI(\()p Fz(")3306 3760 y FJ(2)3346 3797 y FI(\))25 b Fz(:)0 4084 y FA(B)134 b(Notations)0 4287 y FI(W)-8 b(e)32 b(\014x)d(here)i(some)f(notations)h(and)f (de\014nitions)e(used)h(throughout)h(the)h(pap)s(er.)141 4400 y(Let)c Fz(G)g FI(b)s(e)f(a)h(Lie)f(group)h(with)e(the)i(Lie)f (algebra)h Fg(g)p FI(,)h(and)e(let)h Fg(g)2261 4367 y Fq(\003)2327 4400 y FI(b)s(e)f(a)h(dual)f(v)m(ector)i(space)f(to)h Fg(g)p FI(.)39 b(W)-8 b(e)28 b(iden)m(tify)0 4513 y Fg(g)i FI(and)g Fg(g)299 4480 y Fq(\003)368 4513 y FI(with)f(the)i(tangen)m(t) h(space)f(and)f(the)g(cotangen)m(t)j(space)e(to)g Fz(G)f FI(in)f(the)h(group)g(unit,)f(resp)s(ectiv)m(ely:)1444 4717 y Fg(g)c FI(=)g Fz(T)1664 4731 y Fr(e)1701 4717 y Fz(G)g(;)197 b Fg(g)2066 4679 y Fq(\003)2130 4717 y FI(=)25 b Fz(T)2292 4679 y Fq(\003)2279 4739 y Fr(e)2332 4717 y Fz(G)f(:)0 4921 y FI(The)e(pairing)e(b)s(et)m(w)m(een)j(the)f (cotangen)m(t)j(and)d(the)g(tangen)m(t)i(spaces)f Fz(T)2356 4888 y Fq(\003)2343 4944 y Fr(g)2395 4921 y Fz(G)e FI(and)h Fz(T)2710 4935 y Fr(g)2750 4921 y Fz(G)g FI(in)f(an)h(arbitrary)f(p)s (oin)m(t)g Fz(g)29 b Fy(2)c Fz(G)0 5034 y FI(is)36 b(denoted)i(b)m(y)f Fy(h\001)p Fz(;)15 b Fy(\001i)p FI(.)62 b(The)37 b(left)g(and)g(righ)m (t)f(translations)g(in)g(the)i(group)e(are)i(the)f(maps)g Fz(L)3272 5048 y Fr(g)3327 5034 y Fz(;)15 b(R)3436 5048 y Fr(g)3529 5034 y FI(:)36 b Fz(G)h Fy(7!)f Fz(G)0 5147 y FI(de\014ned)29 b(b)m(y)1173 5260 y Fz(L)1235 5274 y Fr(g)1290 5260 y Fz(h)d FI(=)f Fz(g)s(h)h(;)197 b(R)1879 5274 y Fr(g)1934 5260 y Fz(h)26 b FI(=)f Fz(hg)186 b Fy(8)p Fz(h)25 b Fy(2)g Fz(G)g(;)1903 5517 y FI(13)p eop %%Page: 14 14 14 13 bop 0 635 a FI(and)30 b Fz(L)239 649 y Fr(g)r Fq(\003)329 635 y FI(,)h Fz(R)454 649 y Fr(g)r Fq(\003)559 635 y FI(stand)f(for)h(the)f(di\013eren)m(tials)f(of)h(these)h(maps:)1037 829 y Fz(L)1099 843 y Fr(g)r Fq(\003)1214 829 y FI(:)41 b Fz(T)1333 844 y Fr(h)1378 829 y Fz(G)25 b Fy(7!)g Fz(T)1644 844 y Fr(g)r(h)1725 829 y Fz(G)g(;)197 b(R)2113 843 y Fr(g)r Fq(\003)2229 829 y FI(:)40 b Fz(T)2347 844 y Fr(h)2392 829 y Fz(G)25 b Fy(7!)g Fz(T)2658 844 y Fr(hg)2739 829 y Fz(G)g(:)0 1023 y FI(W)-8 b(e)32 b(denote)e(b)m(y)1454 1136 y(Ad)15 b Fz(g)29 b FI(=)c Fz(L)1818 1150 y Fr(g)r Fq(\003)1893 1136 y Fz(R)1962 1155 y Fr(g)1998 1136 y Fl(\000)p FD(1)2080 1155 y Fq(\003)2160 1136 y FI(:)h Fg(g)f Fy(7!)g Fg(g)0 1297 y FI(the)31 b(adjoin)m(t)f(action)g(of)h (the)f(Lie)g(group)g Fz(G)g FI(on)g(its)g(Lie)g(algebra)g Fg(g)25 b FI(=)g Fz(T)2454 1311 y Fr(e)2491 1297 y Fz(G)p FI(.)40 b(The)30 b(linear)f(op)s(erators)1090 1491 y Fz(L)1152 1454 y Fq(\003)1152 1514 y Fr(g)1232 1491 y FI(:)41 b Fz(T)1364 1454 y Fq(\003)1351 1515 y Fr(g)r(h)1432 1491 y Fz(G)25 b Fy(7!)g Fz(T)1711 1454 y Fq(\003)1698 1515 y Fr(h)1750 1491 y Fz(G)g(;)197 b(R)2139 1454 y Fq(\003)2138 1514 y Fr(g)2219 1491 y FI(:)40 b Fz(T)2350 1454 y Fq(\003)2337 1515 y Fr(hg)2418 1491 y Fz(G)25 b Fy(7!)g Fz(T)2697 1454 y Fq(\003)2684 1515 y Fr(h)2736 1491 y Fz(G)0 1686 y FI(are)31 b(conjugated)g(to)g Fz(L)787 1700 y Fr(g)r Fq(\003)877 1686 y FI(,)g Fz(R)1002 1700 y Fr(g)r Fq(\003)1093 1686 y FI(,)f(resp)s(ectiv)m(ely)-8 b(,)30 b(via)g(the)h(pairing)d Fy(h\001)p Fz(;)15 b Fy(\001i)p FI(:)997 1880 y Fy(h)p Fz(L)1094 1842 y Fq(\003)1094 1902 y Fr(g)1134 1880 y Fz(\030)t(;)g(\021)s Fy(i)27 b FI(=)d Fy(h)p Fz(\030)t(;)15 b(L)1604 1894 y Fr(g)r Fq(\003)1680 1880 y Fz(\021)s Fy(i)92 b FI(for)f Fz(\030)29 b Fy(2)c Fz(T)2276 1842 y Fq(\003)2263 1903 y Fr(g)r(h)2344 1880 y Fz(G)15 b(;)65 b(\021)29 b Fy(2)c Fz(T)2734 1895 y Fr(h)2779 1880 y Fz(G)g(;)990 2074 y Fy(h)p Fz(R)1095 2036 y Fq(\003)1094 2096 y Fr(g)1134 2074 y Fz(\030)t(;)15 b(\021)s Fy(i)27 b FI(=)d Fy(h)p Fz(\030)t(;)15 b(R)1611 2088 y Fr(g)r Fq(\003)1688 2074 y Fz(\021)s Fy(i)91 b FI(for)g Fz(\030)29 b Fy(2)c Fz(T)2283 2036 y Fq(\003)2270 2097 y Fr(hg)2351 2074 y Fz(G)15 b(;)66 b(\021)28 b Fy(2)d Fz(T)2741 2089 y Fr(h)2786 2074 y Fz(G)g(:)0 2235 y FI(The)30 b(coadjoin)m(t)h(action)g(of)f(the)h(group)1430 2429 y(Ad)1549 2392 y Fq(\003)1603 2429 y Fz(g)e FI(=)c Fz(L)1833 2392 y Fq(\003)1833 2452 y Fr(g)1873 2429 y Fz(R)1943 2392 y Fq(\003)1942 2457 y Fr(g)1978 2438 y Fl(\000)p FD(1)2105 2429 y FI(:)h Fg(g)2202 2392 y Fq(\003)2266 2429 y Fy(7!)f Fg(g)2428 2392 y Fq(\003)0 2623 y FI(is)k(conjugated)j (to)f(Ad)14 b Fz(g)34 b FI(via)c(the)h(pairing)d Fy(h\001)p Fz(;)15 b Fy(\001i)p FI(:)973 2817 y Fy(h)p FI(Ad)1127 2780 y Fq(\003)1181 2817 y Fz(g)24 b Fy(\001)c Fz(\030)t(;)15 b(\021)s Fy(i)27 b FI(=)e Fy(h)p Fz(\030)t(;)15 b FI(Ad)g Fz(g)24 b Fy(\001)d Fz(\021)s Fy(i)91 b FI(for)g Fz(\030)29 b Fy(2)c Fg(g)2524 2780 y Fq(\003)2578 2817 y Fz(;)66 b(\021)29 b Fy(2)c Fg(g)g Fz(:)0 3011 y FI(The)30 b(di\013eren)m(tials) f(of)h(Ad)15 b Fz(g)34 b FI(and)c(of)g(Ad)1391 2975 y Fq(\003)1445 3011 y Fz(g)k FI(with)29 b(resp)s(ect)i(to)g Fz(g)j FI(in)29 b(the)h(group)g(unit)m(y)g Fz(e)g FI(are)h(the)g(op)s (erators)1126 3206 y(ad)15 b Fz(\021)44 b FI(:)25 b Fg(g)g Fy(7!)h Fg(g)181 b FI(and)g(ad)2215 3168 y Fq(\003)2270 3206 y Fz(\021)44 b FI(:)25 b Fg(g)2455 3168 y Fq(\003)2520 3206 y Fy(7!)g Fg(g)2682 3168 y Fq(\003)2746 3206 y Fz(;)0 3400 y FI(resp)s(ectiv)m(ely)-8 b(,)30 b(also)h(conjugated)g(via)f(the) g(pairing)f Fy(h\001)p Fz(;)15 b Fy(\001i)p FI(:)1026 3594 y Fy(h)p FI(ad)1157 3556 y Fq(\003)1211 3594 y Fz(\021)24 b Fy(\001)c Fz(\030)t(;)15 b(\020)7 b Fy(i)26 b FI(=)f Fy(h)p Fz(\030)t(;)15 b FI(ad)h Fz(\021)23 b Fy(\001)e Fz(\020)7 b Fy(i)181 b(8)p Fz(\030)29 b Fy(2)c Fg(g)2473 3556 y Fq(\003)2527 3594 y Fz(;)66 b(\020)32 b Fy(2)25 b Fg(g)g Fz(:)0 3788 y FI(The)30 b(action)h(of)f(ad)g(is)g(giv)m(en)g (b)m(y)g(applying)f(the)h(Lie)g(brac)m(k)m(et)i(in)d Fg(g)p FI(:)1429 3982 y(ad)15 b Fz(\021)24 b Fy(\001)c Fz(\020)32 b FI(=)25 b([)p Fz(\021)s(;)15 b(\020)7 b FI(])26 b Fz(;)106 b Fy(8)p Fz(\020)31 b Fy(2)25 b Fg(g)g Fz(:)141 4176 y FI(Finally)-8 b(,)33 b(w)m(e)h(need)f(the)h(notion)e (of)i(gradien)m(ts)f(of)h(functions)e(on)h(v)m(ector)i(spaces)f(and)f (on)g(manifolds.)48 b(If)32 b Fy(X)0 4289 y FI(is)e(a)i(v)m(ector)h (space,)g(and)e Fz(f)36 b FI(:)27 b Fy(X)40 b(7!)27 b Fu(R)40 b FI(is)30 b(a)i(smo)s(oth)g(function,)e(then)h(the)h(gradien)m (t)f Fy(r)p Fz(f)36 b FI(:)27 b Fy(X)41 b(7!)26 b(X)3451 4256 y Fq(\003)3522 4289 y FI(is)31 b(de\014ned)0 4401 y(via)f(the)h(form)m(ula)1054 4542 y Fy(hr)p Fz(f)10 b FI(\()p Fz(x)p FI(\))p Fz(;)15 b(y)s Fy(i)26 b FI(=)1626 4480 y Fz(d)p 1607 4521 85 4 v 1607 4604 a(d\017)1717 4542 y(f)10 b FI(\()p Fz(x)19 b FI(+)h Fz(\017y)s FI(\))2089 4410 y Fs(\014)2089 4464 y(\014)2089 4519 y(\014)2089 4573 y(\014)2120 4632 y Fr(\017)p FJ(=0)2283 4542 y Fz(;)197 b Fy(8)p Fz(y)28 b Fy(2)d(X)38 b Fz(:)0 4753 y FI(Similarly)-8 b(,)25 b(for)j(a)h(function)e Fz(f)34 b FI(:)26 b Fz(G)e Fy(7!)i Fu(R)36 b FI(on)28 b(a)h(smo)s(oth)f(manifold)e Fz(G)h FI(its)h(gradien)m(t)g Fy(r)p Fz(f)49 b FI(:)41 b Fz(G)25 b Fy(7!)g Fz(T)3387 4720 y Fq(\003)3426 4753 y Fz(G)j FI(is)f(de\014ned)0 4866 y(in)j(the)h(follo)m(wing)f(w)m(a)m (y:)44 b(for)31 b(an)g(arbitrary)43 b(_)-38 b Fz(g)30 b Fy(2)c Fz(T)1739 4880 y Fr(g)1780 4866 y Fz(G)k FI(let)h Fz(g)s FI(\()p Fz(\017)p FI(\))i(b)s(e)d(a)i(curv)m(e)g(in)e Fz(G)g FI(through)h Fz(g)s FI(\(0\))d(=)f Fz(g)34 b FI(with)c(the)0 4979 y(tangen)m(t)i(v)m(ector)45 b(_)-38 b Fz(g)s FI(\(0\))27 b(=)38 b(_)-38 b Fz(g)s FI(.)41 b(Then)1372 5223 y Fy(hr)p Fz(f)10 b FI(\()p Fz(g)s FI(\))p Fz(;)29 b FI(_)-39 b Fz(g)5 b Fy(i)25 b FI(=)1937 5161 y Fz(d)p 1918 5202 V 1918 5285 a(d\017)2028 5223 y(f)10 b FI(\()p Fz(g)s FI(\()p Fz(\017)p FI(\)\))2306 5091 y Fs(\014)2306 5146 y(\014)2306 5200 y(\014)2306 5255 y(\014)2337 5313 y Fr(\017)p FJ(=0)2500 5223 y Fz(:)1903 5517 y FI(14)p eop %%Page: 15 15 15 14 bop 0 635 a FI(If)33 b Fz(G)g FI(is)g(a)h(Lie)g(group,)g(then)f (t)m(w)m(o)i(con)m(v)m(enien)m(t)g(w)m(a)m(ys)g(to)f(de\014ne)f(a)i (curv)m(e)f(in)e Fz(G)h FI(through)g Fz(g)38 b FI(with)32 b(the)i(tangen)m(t)0 748 y(v)m(ector)45 b(_)-38 b Fz(g)34 b FI(are)d(the)f(follo)m(wing:)1399 861 y Fz(g)s FI(\()p Fz(\017)p FI(\))c(=)f Fz(e)1716 823 y Fr(\017\021)1787 861 y Fz(g)k(;)106 b(\021)29 b FI(=)c Fz(R)2229 880 y Fr(g)2265 861 y Fl(\000)p FD(1)2347 880 y Fq(\003)2415 861 y FI(_)-38 b Fz(g)29 b(;)0 1027 y FI(and)1402 1140 y Fz(g)s FI(\()p Fz(\017)p FI(\))e(=)e Fz(g)s(e)1766 1103 y Fr(\017\021)1862 1140 y Fz(;)107 b(\021)28 b FI(=)d Fz(L)2225 1160 y Fr(g)2261 1141 y Fl(\000)p FD(1)2344 1160 y Fq(\003)2411 1140 y FI(_)-38 b Fz(g)29 b(;)0 1307 y FI(whic)m(h)f(allo)m(ws)h(to)h(establish)e(the)i(connection)f(of)h (the)g(gradien)m(t)f Fy(r)p Fz(f)38 b FI(with)29 b(the)g(\(somewhat)h (more)g(con)m(v)m(enien)m(t\))0 1420 y(notions)g(of)g(the)h(left)f(and) g(the)g(righ)m(t)g(Lie)g(deriv)-5 b(ativ)m(es)30 b(of)g(a)h(function)e Fz(f)35 b FI(:)25 b Fz(G)g Fy(7!)g Fu(R)s FI(:)1245 1624 y Fy(r)p Fz(f)10 b FI(\()p Fz(g)s FI(\))25 b(=)g Fz(R)1683 1587 y Fq(\003)1682 1652 y Fr(g)1718 1633 y Fl(\000)p FD(1)1820 1624 y Fz(d)-15 b(f)10 b FI(\()p Fz(g)s FI(\))26 b(=)f Fz(L)2207 1587 y Fq(\003)2207 1652 y Fr(g)2243 1633 y Fl(\000)p FD(1)2345 1624 y Fz(d)2407 1587 y Fq(0)2431 1624 y Fz(f)10 b FI(\()p Fz(g)s FI(\))26 b Fz(:)0 1829 y FI(Here)31 b Fz(d)-15 b(f)35 b FI(:)25 b Fz(G)g Fy(7!)g Fg(g)636 1796 y Fq(\003)706 1829 y FI(and)k Fz(d)944 1796 y Fq(0)968 1829 y Fz(f)35 b FI(:)25 b Fz(G)g Fy(7!)g Fg(g)1357 1796 y Fq(\003)1427 1829 y FI(are)30 b(de\014ned)f(via)h(the) h(form)m(ulas)1139 2078 y Fy(h)p Fz(d)-15 b(f)10 b FI(\()p Fz(g)s FI(\))p Fz(;)15 b(\021)s Fy(i)27 b FI(=)1662 2016 y Fz(d)p 1643 2057 85 4 v 1643 2140 a(d\017)1752 2078 y(f)10 b FI(\()p Fz(e)1884 2040 y Fr(\017\021)1955 2078 y Fz(g)s FI(\))2036 1946 y Fs(\014)2036 2000 y(\014)2036 2055 y(\014)2036 2110 y(\014)2067 2168 y Fr(\017)p FJ(=0)2230 2078 y Fz(;)198 b Fy(8)p Fz(\021)28 b Fy(2)d Fg(g)g Fz(;)1112 2400 y Fy(h)p Fz(d)1209 2362 y Fq(0)1233 2400 y Fz(f)10 b FI(\()p Fz(g)s FI(\))p Fz(;)15 b(\021)s Fy(i)27 b FI(=)1688 2338 y Fz(d)p 1670 2379 V 1670 2462 a(d\017)1779 2400 y(f)10 b FI(\()p Fz(g)s(e)1957 2362 y Fr(\017\021)2028 2400 y FI(\))2063 2268 y Fs(\014)2063 2322 y(\014)2063 2377 y(\014)2063 2431 y(\014)2094 2490 y Fr(\017)p FJ(=0)2257 2400 y Fz(;)197 b Fy(8)p Fz(\021)29 b Fy(2)24 b Fg(g)i Fz(:)0 2719 y FA(References)0 2921 y FI([A])258 b(V.I.Arnold.)30 b Ft(Mathematic)-5 b(al)35 b(metho)-5 b(ds)34 b(of)f(classic)-5 b(al)34 b(me)-5 b(chanics)p FI(.)32 b(Springer,)d(1978.)0 3109 y([AM])175 b(R.Abraham,)30 b(J.E.)h(Marsden.)f Ft(F)-7 b(oundations)35 b(of)e(me)-5 b(chanics)p FI(.)32 b(Addison{W)-8 b(esley)g(,)30 b(1978.)0 3297 y([BS])211 b(A.I.Bob)s(enk)m(o,)34 b(Y)-8 b(u.B.Suris.)30 b(Discrete)j(time)e(mec)m(hanics)h(on)g(Lie)f (groups,)h(with)e(an)i(application)e(to)376 3410 y(the)h(Lagrange)g (top.)g Ft(Commun.)j(Math.)f(Phys.)d FI(\(1999,)j(to)e(app)s(ear\).)0 3597 y([CB])196 b(R.H.Cushman,)23 b(L.M.Bates.)i Ft(Glob)-5 b(al)27 b(asp)-5 b(e)g(cts)27 b(of)f(classic)-5 b(al)27 b(inte)-5 b(gr)g(able)26 b(systems)p FI(.)e(Birkh\177)-45 b(auser,)23 b(1997.)0 3785 y([CHMR])46 b(H.Cendra,)35 b(D.D.Holm,)h(J.E.Marsden,)f(T.Ratiu.)f(Lagrangian)g(reduction,)h(the)f (Euler{P)m(oincar)m(\023)-43 b(e)376 3898 y(equations,)31 b(and)e(semi{direct)h(pro)s(ducts.)f Ft(AMS)j(A)n(rnold)h(V)-7 b(olume)33 b(II)d FI(\(1999,)j(to)e(app)s(ear\).)0 4085 y([HMR])108 b(D.D.Holm,)27 b(J.E.Marsden,)e(T.Ratiu.)e(The)h(Euler{P)m (oincare)f(equations)h(and)f(semidirect)g(pro)s(ducts)376 4198 y(with)29 b(applications)g(to)i(con)m(tin)m(uum)e(theories.)i Ft(A)-5 b(dv.)33 b(Math.)d FI(\(1998,)j(to)e(app)s(ear\).)0 4386 y([MPS])130 b(J.E.Marsden,)26 b(G.W.P)m(atric)m(k,)j(S.Shk)m (oller.)23 b(Multisymplectic)g(geometry)-8 b(,)28 b(v)-5 b(ariational)24 b(in)m(tegrators,)376 4499 y(and)30 b(nonlinear)e (PDEs.)j Ft(Commun.)i(Math.)g(Phys.)e Fv(199)g FI(\(1998\))i(351{395.)0 4686 y([MR])176 b(J.E.Marsden,)31 b(T.S.Ratiu.)e Ft(Intr)-5 b(o)g(duction)35 b(to)f(me)-5 b(chanics)33 b(and)h(symmetry)p FI(.)e(Springer,)c(1994.)0 4874 y([MR)-10 b(W])93 b(J.E.Marsden,)30 b(T.S.Ratiu,)f(A.W)-8 b(einstein.)30 b(Semi{direct)e(pro)s(ducts)g(and) h(reduction)g(in)f(mec)m(hanics.)376 4987 y Ft(T)-7 b(r)i(ans.)40 b(A)n(m.)f(Math.)g(So)-5 b(c.)38 b Fv(281)f FI(\(1984\))j(147{177;)k (Reduction)36 b(and)h(Hamiltonian)e(structures)i(on)376 5100 y(duals)29 b(of)i(semidirect)e(pro)s(ducts)g(Lie)h(algebras.)g Ft(Contemp.)k(Math.)d Fv(28)g FI(\(1984\))h(55{100.)1903 5517 y(15)p eop %%Page: 16 16 16 15 bop 0 635 a FI([MS])192 b(J.E.Marsden,)61 b(J.Sc)m(heurle.)53 b(Lagrangian)i(reduction)e(and)h(the)g(double)f(spherical)g(p)s (endulum.)376 748 y Ft(ZAMP)29 b Fv(44)i FI(\(1993\))i(17{43;)376 861 y(The)d(reduced)g(Euler{Lagrange)g(equations.)h Ft(Fields)i(Inst.)g (Comm.)e Fv(1)g FI(\(1993\))i(139{164.)0 1048 y([MV])175 b(J.Moser,)38 b(A.P)-8 b(.V)g(eselo)m(v.)39 b(Discrete)d(v)m(ersions)f (of)h(some)h(classical)e(in)m(tegrable)g(systems)h(and)f(factor-)376 1161 y(ization)30 b(of)h(matrix)e(p)s(olynomials.)f Ft(Commun.)34 b(Math.)f(Phys.)d Fv(139)i FI(\(1991\))g(217{243.)0 1349 y([R])259 b(A.G.Reyman.)24 b(In)m(tegrable)f(Hamiltonian)e(systems)h (connected)h(with)f(graded)g(Lie)g(algebras.)g Ft(J.)j(Sov.)376 1462 y(Math.)31 b Fv(19)g FI(\(1982\))i(1507{1545.)0 1649 y([RSTS])91 b(A.G.Reyman,)40 b(M.A.Semeno)m(v-Tian-Shansky)-8 b(.)37 b(Group)f(theoretical)h(metho)s(ds)f(in)g(the)g(theory)h(of)376 1762 y(\014nite)g(dimensional)f(in)m(tegrable)h(systems.)i(In:)55 b Ft(Encyclop)-5 b(ae)g(dia)42 b(of)e(mathematic)-5 b(al)43 b(scienc)-5 b(e)p FI(,)40 b(v.16:)376 1875 y Ft(Dynamic)-5 b(al)34 b(Systems)g(VII)p FI(,)c(Springer,)e(1994,)33 b(116{225.)0 2063 y([V])258 b(A.P)-8 b(.V)g(eselo)m(v.)31 b(In)m(tegrable)d(systems)f(with)g(discrete)g(time)h(and)f (di\013erence)g(op)s(erators.)h Ft(F)-7 b(unct.)31 b(A)n(nal.)376 2176 y(Appl.)g Fv(22)g FI(\(1988\))i(1{13.)0 2363 y([WM])150 b(J.M.W)-8 b(endlandt,)30 b(J.E.Marsden.)g(Mec)m(hanical)h(in)m (tegrators)f(deriv)m(ed)f(from)h(a)g(discrete)g(v)-5 b(ariational)376 2476 y(principle.)28 b Ft(Physic)-5 b(a)33 b(D)d Fv(106)h FI(\(1997\))i(223{246.)1903 5517 y(16)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF ---------------9907230517766--