%!PS-Adobe-2.0 %%Creator: dvips 5.526 Copyright 1986, 1994 Radical Eye Software %%Title: mon3.dvi %%CreationDate: Tue Aug 11 09:56:18 1998 %%Pages: 6 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%EndComments %DVIPSCommandLine: /sw/tex/bin/Dvips mon3.dvi %DVIPSParameters: dpi=300, comments removed %DVIPSSource: TeX output 1998.08.11:0952 %%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 4 get round 4 exch put dup dup 5 get round 5 exch put 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 add]{ 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 showpage userdict /eop-hook known{eop-hook}if}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 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 300 300 (/mnt3/home/math/schwicht/wwwpublic/papers/casari96/mon3.dvi) @start /Fa 1 78 df<0000018000000001000000038000000002000000078000000006 0000000F800000000E0000000F800000001E0000000F800000003E0000000FC00000003C 0000000FC00000007C0000000BC0000000FC0000001BC0000001FC00000013C0000003FC 00000013E0000007F800000013E000000FF800000011E000000F7800000021E000001EF8 00000021E000003CF800000021F0000078F800000021F00000F0F800000040F00001E0F0 00000040F00003E0F000000040F80007C0F000000080F8000F81F00000008078000F01F0 0000008078001E01F0000001007C003C01F0000001007C007801F0000001003C00F001E0 000002003C01E001E0000002003E03E001E0000006003E07C003E0000004001E0F8003E0 000004001F1F0003E000000C001F3E0003E0000008000FFC0003E0000018000FF80003E0 0000100007F00003E00000300007E00003E00060700003C00003E00070E00003800003E0 007FE00001000003F080FFC00000000003FF00FFC00000000003FC00FF800000000001F0 003F00000000000000001E0000000000000000412D7FA948>77 D E /Fb 1 49 df<081C1C3838383070706060C0C0060D7E8D09>48 D E /Fc 2 84 df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d 22 122 df<000FE000007FF80000F81C0001E07C0003E07C 0007C07C0007C07C0007C0380007C0000007C0000007C0000007C1FE00FFFFFE00FFFFFE 0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E 0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E0007C03E003FF9FFC03FF9FF C01A20809F1D>12 D<387CFEFEFE7C3807077C860F>46 D<0007FC02003FFF0E00FE03DE 03F000FE07E0003E0FC0001E1F80001E3F00000E3F00000E7F0000067E0000067E000006 FE000000FE000000FE000000FE000000FE000000FE000000FE0000007E0000007E000006 7F0000063F0000063F00000C1F80000C0FC0001807E0003803F0007000FE01C0003FFF80 0007FC001F1F7D9E26>67 DI76 D<7FFFFFFC7FFFFFFC7C07E07C7007E01C6007 E00C6007E00CE007E00EC007E006C007E006C007E006C007E0060007E0000007E0000007 E0000007E0000007E0000007E0000007E0000007E0000007E0000007E0000007E0000007 E0000007E0000007E0000007E0000007E0000007E00003FFFFC003FFFFC01F1E7E9D24> 84 D<07FC001FFF003F0F803F07C03F03E03F03E00C03E00003E0007FE007FBE01F03E0 3C03E07C03E0F803E0F803E0F803E0FC05E07E0DE03FF8FE0FE07E17147F9319>97 D<01FE0007FF800F83C01E01E03E00F07C00F07C00F8FC00F8FFFFF8FFFFF8FC0000FC00 00FC00007C00007C00003E00181E00180F807007FFE000FF8015147F9318>101 D<001F8000FFC001F3E003E7E003C7E007C7E007C3C007C00007C00007C00007C00007C0 00FFFC00FFFC0007C00007C00007C00007C00007C00007C00007C00007C00007C00007C0 0007C00007C00007C00007C00007C00007C0003FFC003FFC0013207F9F10>I<01FC3C07 FFFE0F079E1E03DE3E03E03E03E03E03E03E03E03E03E01E03C00F07800FFF0009FC0018 00001800001C00001FFF800FFFF007FFF81FFFFC3C007C70003EF0001EF0001EF0001E78 003C78003C3F01F80FFFE001FF00171E7F931A>II<1C003E007F007F007F003E001C00000000000000 000000000000FF00FF001F001F001F001F001F001F001F001F001F001F001F001F001F00 1F001F001F00FFE0FFE00B217EA00E>I108 DII<01FF0007FFC01F83F03E00F83E00F87C007C7C007CFC007E FC007EFC007EFC007EFC007EFC007E7C007C7C007C3E00F83E00F81F83F007FFC001FF00 17147F931A>II114 D<01800180018003800380 038007800F803F80FFFCFFFC0F800F800F800F800F800F800F800F800F800F800F860F86 0F860F860F8607CC03F801F00F1D7F9C14>116 DI120 DI E /Fe 3 49 df<020002000200C218F2783AE00F 800F803AE0F278C2180200020002000D0E7E8E12>3 D<00000100000000800000008000 00004000000020FFFFFFFCFFFFFFFC00000020000000400000008000000080000001001E 0C7E8D23>33 D<060F0F0E1E1E1C3C383830707060E0C04008117F910A>48 D E /Ff 1 79 df<7FC007FC7FE007FC1F3001E0199800C018D800C018CC00C0186600C0 186600C0183300C0181980C0181980C0180CC0C0180660C0180630C0180330C0180318C0 18018CC01800CCC01800C6C0180063C0180061C0180031C0180018C0180018C018000CC0 180006C0180006C0180003C03C0003C0FF8001C0FF8000C0000000401E207D9E22>78 D E /Fg 8 111 df<08181818303030606061C1C24478080E7E8D0C>19 D<00F0031806080C0C0C0C180C180C180C301830183030302068C0678060006000C000C0 00C00080000E147E8D12>26 D<03FF8007FF801C30001818003018006018006018006018 00C03000C030004060006040002180001E0000110E7F8D14>I85 DI<0300038003000000000000000000000000001C002400460046008C000C0018 001800180031003100320032001C0009177F960C>105 D<1F0006000600060006000C00 0C000C000C00181C1866188E190C32003C003F00318060C060C460C460C8C0C8C0700F17 7E9612>107 D<383C0044C6004702004602008E06000C06000C06000C0C00180C00180C 40181840181880300880300F00120E7F8D15>110 D E /Fh 9 110 df<0102040C1818303070606060E0E0E0E0E0E0E0E0E0E060606070303018180C040201 08227D980E>40 D<8040203018180C0C0E060606070707070707070707070606060E0C0C 18183020408008227E980E>I<0030000030000030000030000030000030000030000030 00003000003000003000FFFFFCFFFFFC0030000030000030000030000030000030000030 0000300000300000300000300016187E931B>43 D<07C018303018701C600C600CE00EE0 0EE00EE00EE00EE00EE00EE00EE00E600C600C701C30181C7007C00F157F9412>48 D<03000700FF000700070007000700070007000700070007000700070007000700070007 00070007007FF00C157E9412>I<0F8030E040708030C038E03840380038007000700060 00C00180030006000C08080810183FF07FF0FFF00D157E9412>I<1FC038603830103800 3803F81E3830387038E039E039E07970FF1F1E100E7F8D12>97 D<030007800780030000 0000000000000000001F8003800380038003800380038003800380038003800380038003 80038003804380E300E7007C00091D82960B>106 D109 D E /Fi 29 127 df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j 26 107 df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k 54 124 df<00003F03E00000C386700001878CF00003879CF0 0003031860000700380000070038000007003800000E003800000E007000000E00700000 0E00700000FFFFFF80001C007000001C00E000001C00E000001C00E000001C00E0000038 00E000003801C000003801C000003801C000003801C000007001C0000070038000007003 800000700380000070038000006003800000E007000000E007000000E007000000E00700 0000C006000001C00E000001C00E000031860C0000798F180000F31E100000620C600000 3C07C000002429829F1C>11 D<00003FE00000E010000180380003807800030078000700 30000700000007000000070000000E0000000E0000000E000000FFFFE0000E00E0001C01 C0001C01C0001C01C0001C01C0001C038000380380003803800038038000380700003807 00007007000070071000700E2000700E2000700E2000E00E2000E0064000E0038000E000 0000C0000001C0000001C000003180000079800000F3000000620000003C0000001D2982 9F1A>I<0E1F3F3F1D0102020404081020C0080E779F0E>39 D<00010002000400080010 0020006000C0018001800300070006000E000C001C001800380038003000700070006000 6000E000E000C000C000C000C000C000C000C000C000C000C000C000C000C00040006000 60002000100010000800102E79A113>I<00100000080000040000060000020000030000 030000030000010000018000018000018000018000018000018000018000038000038000 0380000300000300000300000700000700000600000600000E00000C00000C00001C0000 180000380000300000700000600000E00000C0000180000100000300000600000C000018 0000300000600000800000112E80A113>I<1C3C3C3C3C040408081020204080060E7D84 0E>44 D<7FF0FFE07FE00C037D8A10>I<70F8F8F0E005057B840E>I<001F800060E00080 700100300200380420380420380410380420700460700380600000E00001C000030000FE 00001C00000600000700000780000780000780300780780780780780F00F00800F00401E 00401C0040380020E0001F8000151F7C9D17>51 D<001F0000718000C0C00180C00380E0 0700E00F00E00F01E01E01E01E01E01E01E01E01C01C03C01C03C01C03C01C07C01C0F80 0C0F8006378003C700000F00000E00000E00001C00601C00F03800F07000E0600080C000 4380003E0000131F7B9D17>57 D<070F1F1F0E0000000000000000000070F8F8F0E00814 7B930E>I<01C003C007C007C0038000000000000000000000000000000000000000001C 003C003C003C003C000400040008000800100020002000400080000A1D7D930E>I<0000 0200000006000000060000000E0000001E0000001E0000003F0000002F0000004F000000 4F0000008F0000010F0000010F0000020F0000020F0000040F00000C0F0000080F000010 0F0000100F0000200F80003FFF800040078000C007800080078001000780010007800200 078002000780060007801E000F80FF807FF81D207E9F22>65 D<0000FE0200078186001C 004C0038003C0060003C00C0001C01C0001803800018070000180F0000181E0000101E00 00103C0000003C00000078000000780000007800000078000000F0000000F0000000F000 0000F0000000F00000807000008070000080700001003800010038000200180004000C00 1800060020000381C00000FE00001F217A9F21>67 D<01FFFF80001E00E0001E0070001E 0038001E001C003C001C003C000E003C000E003C000E0078000E0078000E0078000E0078 000E00F0001E00F0001E00F0001E00F0001E01E0003C01E0003C01E0003C01E0007803C0 007003C0007003C000E003C001C0078001C00780038007800E0007801C000F007000FFFF C0001F1F7D9E22>I<01FFFFFE001E001C001E000C001E0004001E0004003C0004003C00 04003C0004003C00040078080800780800007808000078180000F0300000FFF00000F030 0000F0300001E0200001E0200001E0200001E0001003C0002003C0002003C0004003C000 40078000800780018007800100078007000F001F00FFFFFE001F1F7D9E1F>I<01FFFFFC 001E0038001E0018001E0008001E0008003C0008003C0008003C0008003C000800780010 00780800007808000078080000F0100000F0300000FFF00000F0300001E0200001E02000 01E0200001E0200003C0000003C0000003C0000003C00000078000000780000007800000 078000000F800000FFF800001E1F7D9E1E>I<01FFF3FFE0001F003E00001E003C00001E 003C00001E003C00003C007800003C007800003C007800003C007800007800F000007800 F000007800F000007800F00000F001E00000FFFFE00000F001E00000F001E00001E003C0 0001E003C00001E003C00001E003C00003C007800003C007800003C007800003C0078000 07800F000007800F000007800F000007800F00000F801F0000FFF1FFE000231F7D9E22> 72 D<01FFF0001F00001E00001E00001E00003C00003C00003C00003C00007800007800 00780000780000F00000F00000F00000F00001E00001E00001E00001E00003C00003C000 03C00003C0000780000780000780000780000F8000FFF800141F7D9E12>I<001FFF0000 F80000F00000F00000F00001E00001E00001E00001E00003C00003C00003C00003C00007 80000780000780000780000F00000F00000F00000F00001E00001E00301E00781E00F83C 00F83C00F0780080700040E00021C0001F000018207D9E18>I<01FFF800001F0000001E 0000001E0000001E0000003C0000003C0000003C0000003C000000780000007800000078 00000078000000F0000000F0000000F0000000F0000001E0000001E0000001E0000001E0 008003C0010003C0010003C0030003C00200078006000780060007800C0007801C000F00 7800FFFFF800191F7D9E1D>76 D<01FE00007FC0001E0000FC00001E0000F80000170001 780000170001780000270002F00000270004F00000270004F00000270008F00000470009 E00000470011E00000470021E00000470021E00000870043C00000838043C00000838083 C00000838083C0000103810780000103820780000103820780000103840780000203840F 00000203880F00000203900F00000203900F00000401E01E00000401E01E00000401C01E 00000C01801E00001C01803E0000FF8103FFC0002A1F7D9E29>I<01FF007FE0001F000F 00001F0004000017800400001780040000278008000023C008000023C008000023C00800 0041E010000041E010000041F010000040F010000080F020000080782000008078200000 8078200001003C400001003C400001003C400001001E400002001E800002001E80000200 0F800002000F800004000F0000040007000004000700000C000700001C00020000FF8002 0000231F7D9E22>I<0001FC0000070700001C01C0003000E000E0006001C00070038000 7007800038070000380E0000381E0000381C0000383C0000383C00003878000078780000 787800007878000078F00000F0F00000F0F00000E0F00001E0F00001C0F00003C0700003 807000070078000F0038001E0038003C001C0070000E00E0000783800001FC00001D217A 9F23>I<01FFFF80001E00E0001E0070001E0038001E003C003C003C003C003C003C003C 003C003C0078007800780078007800F0007800E000F003C000F00F0000FFFC0000F00000 01E0000001E0000001E0000001E0000003C0000003C0000003C0000003C0000007800000 0780000007800000078000000F800000FFF000001E1F7D9E1F>I<01FFFF00001E03C000 1E00E0001E0070001E0078003C0078003C0078003C0078003C0078007800F0007800F000 7801E0007801C000F0070000F01E0000FFF00000F0380001E01C0001E01E0001E00E0001 E00F0003C01E0003C01E0003C01E0003C01E0007803C0007803C0807803C0807803C100F 801C10FFF00C20000007C01D207D9E21>82 D<0007E040001C18C0003005800060038000 C0038001C00180018001000380010003800100038001000380000003C0000003C0000003 F8000001FF800001FFE000007FF000001FF0000001F80000007800000078000000380000 00380020003800200038002000300060007000600060006000E0007000C000E8038000C6 06000081F800001A217D9F1A>I<0FFFFFF01E0780E0180780201007802020078020200F 0020600F0020400F0020400F0020801E0040001E0000001E0000001E0000003C0000003C 0000003C0000003C00000078000000780000007800000078000000F0000000F0000000F0 000000F0000001E0000001E0000001E0000001E0000003E00000FFFF00001C1F789E21> I<020408102040408080B0F8F8F870070E779F0E>96 D<00F1800389C00707800E03801C 03803C0380380700780700780700780700F00E00F00E00F00E00F00E20F01C40F01C4070 3C40705C40308C800F070013147C9317>I<07803F8007000700070007000E000E000E00 0E001C001C001CF01D0C3A0E3C0E380F380F700F700F700F700FE01EE01EE01EE01CE03C E038607060E031C01F0010207B9F15>I<007E0001C1000300800E07801E07801C07003C 0200780000780000780000F00000F00000F00000F00000F0000070010070020030040018 380007C00011147C9315>I<0000780003F80000700000700000700000700000E00000E0 0000E00000E00001C00001C000F1C00389C00707800E03801C03803C0380380700780700 780700780700F00E00F00E00F00E00F00E20F01C40F01C40703C40705C40308C800F0700 15207C9F17>I<007C01C207010E011C013C013802780C7BF07C00F000F000F000F00070 00700170023804183807C010147C9315>I<00007800019C00033C00033C000718000700 000700000E00000E00000E00000E00000E0001FFE0001C00001C00001C00001C00003800 00380000380000380000380000700000700000700000700000700000700000E00000E000 00E00000E00000C00001C00001C0000180003180007B0000F300006600003C0000162982 9F0E>I<003C6000E27001C1E00380E00700E00F00E00E01C01E01C01E01C01E01C03C03 803C03803C03803C03803C07003C07001C0F001C17000C2E0003CE00000E00000E00001C 00001C00301C00783800F0700060E0003F8000141D7E9315>I<01E0000FE00001C00001 C00001C00001C000038000038000038000038000070000070000071E000763000E81800F 01C00E01C00E01C01C03801C03801C03801C0380380700380700380700380E10700E2070 0C20701C20700C40E00CC060070014207D9F17>I<00C001E001E001C000000000000000 000000000000000E003300230043804300470087000E000E000E001C001C001C00384038 8030807080310033001C000B1F7C9E0E>I<0001800003C00003C0000380000000000000 000000000000000000000000000000003C00004600008700008700010700010700020E00 000E00000E00000E00001C00001C00001C00001C00003800003800003800003800007000 00700000700000700000E00000E00030E00079C000F180006300003C00001228829E0E> I<03C01FC0038003800380038007000700070007000E000E000E000E001C001C001C001C 0038003800380038007000700070007100E200E200E200E200640038000A207C9F0C> 108 D<1C0F80F0002630C318004740640C004780680E004700700E004700700E008E00E0 1C000E00E01C000E00E01C000E00E01C001C01C038001C01C038001C01C038001C01C070 8038038071003803806100380380E10038038062007007006600300300380021147C9325 >I<1C0F802630C04740604780604700704700708E00E00E00E00E00E00E00E01C01C01C 01C01C01C01C03843803883803083807083803107003303001C016147C931A>I<007C00 01C3000301800E01C01E01C01C01E03C01E07801E07801E07801E0F003C0F003C0F003C0 F00780F00700700F00700E0030180018700007C00013147C9317>I<01C1E00262180474 1C04781C04701E04701E08E01E00E01E00E01E00E01E01C03C01C03C01C03C01C0380380 780380700380E003C1C0072380071E000700000700000E00000E00000E00000E00001C00 001C0000FFC000171D809317>I<1C1E002661004783804787804707804703008E00000E 00000E00000E00001C00001C00001C00001C000038000038000038000038000070000030 000011147C9313>114 D<00FC030206010C030C070C060C000F800FF007F803FC003E00 0E700EF00CF00CE008401020601F8010147D9313>I<018001C003800380038003800700 0700FFF007000E000E000E000E001C001C001C001C003800380038003820704070407080 708031001E000C1C7C9B0F>I<0E00C03300E02301C04381C04301C04701C08703800E03 800E03800E03801C07001C07001C07001C07101C0E20180E20180E201C1E200C264007C3 8014147C9318>I<0E03803307802307C04383C04301C04700C08700800E00800E00800E 00801C01001C01001C01001C02001C02001C04001C04001C08000E300003C00012147C93 15>I<0E00C1C03300E3C02301C3E04381C1E04301C0E04701C060870380400E0380400E 0380400E0380401C0700801C0700801C0700801C0701001C0701001C0602001C0F02000C 0F04000E13080003E1F0001B147C931E>I<0383800CC4401068E01071E02071E02070C0 40E00000E00000E00000E00001C00001C00001C00001C040638080F38080F38100E58100 84C60078780013147D9315>I<0E00C03300E02301C04381C04301C04701C08703800E03 800E03800E03801C07001C07001C07001C07001C0E00180E00180E001C1E000C3C0007DC 00001C00001C00003800F03800F07000E06000C0C0004380003E0000131D7C9316>I<01 C04003E08007F1800C1F0008020000040000080000100000200000400000800001000002 00000401000802001002003E0C0063FC0041F80080E00012147D9313>II E /Fl 24 128 df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m 36 123 df45 D<000E00001E00007E0007FE00FFFE00FFFE00F8FE0000FE0000FE0000FE0000FE0000FE 0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE 0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE 007FFFFE7FFFFE7FFFFE17277BA622>49 D<00FF800007FFF0000FFFFC001E03FE003800 FF807C003F80FE003FC0FF001FC0FF001FE0FF000FE0FF000FE07E000FE03C001FE00000 1FE000001FC000001FC000003F8000003F0000007E000000FC000000F8000001F0000003 E00000078000000F0000001E0000003C00E0007000E000E000E001C001C0038001C00600 01C00FFFFFC01FFFFFC03FFFFFC07FFFFFC0FFFFFF80FFFFFF80FFFFFF801B277DA622> I<007F800003FFF00007FFFC000F80FE001F007F003F807F003F803F803F803F803F803F 801F803F801F003F8000007F0000007F0000007E000000FC000001F8000007F00000FFC0 0000FFC0000001F80000007E0000003F0000003F8000001FC000001FC000001FE000001F E03C001FE07E001FE0FF001FE0FF001FE0FF001FC0FF003FC0FE003F807C007F003F00FE 001FFFFC0007FFF00000FF80001B277DA622>I<00000E0000001E0000003E0000007E00 0000FE000000FE000001FE000003FE0000077E00000E7E00000E7E00001C7E0000387E00 00707E0000E07E0000E07E0001C07E0003807E0007007E000E007E000E007E001C007E00 38007E0070007E00E0007E00FFFFFFF8FFFFFFF8FFFFFFF80000FE000000FE000000FE00 0000FE000000FE000000FE000000FE000000FE00007FFFF8007FFFF8007FFFF81D277EA6 22>I<180003001F801F001FFFFE001FFFFC001FFFF8001FFFF0001FFFC0001FFF00001C 0000001C0000001C0000001C0000001C0000001C0000001C0000001C7FC0001DFFF8001F 80FC001E003F0008003F0000001F8000001FC000001FC000001FE000001FE018001FE07C 001FE0FE001FE0FE001FE0FE001FE0FE001FC0FC001FC078003F8078003F803C007F001F 01FE000FFFFC0003FFF00000FF80001B277DA622>I<0007F800003FFE0000FFFF0001FC 078003F00FC007C01FC00F801FC01F801FC01F001FC03F000F803F0000007E0000007E00 00007E000000FE020000FE1FF000FE3FFC00FE603E00FE801F00FF801F80FF000FC0FF00 0FC0FE000FE0FE000FE0FE000FE0FE000FE07E000FE07E000FE07E000FE07E000FE03E00 0FE03F000FC01F000FC01F001F800F801F0007E07E0003FFFC0001FFF800003FC0001B27 7DA622>I<00007FE0030007FFFC07001FFFFF0F007FF00F9F00FF0001FF01FC0000FF03 F800007F07F000003F0FE000001F1FC000001F1FC000000F3F8000000F3F800000077F80 0000077F800000077F00000000FF00000000FF00000000FF00000000FF00000000FF0000 0000FF00000000FF00000000FF00000000FF000000007F000000007F800000007F800000 073F800000073F800000071FC00000071FC000000E0FE000000E07F000001C03F800003C 01FC00007800FF0001F0007FF007C0001FFFFF800007FFFE0000007FF00028297CA831> 67 DI73 D77 D80 D82 D<03FF80000FFFF0001F01FC003F80FE003F807F003F803F003F803F801F003F8000 003F8000003F8000003F8000003F80003FFF8001FC3F800FE03F801F803F803F003F807E 003F80FC003F80FC003F80FC003F80FC003F80FC005F807E00DF803F839FFC1FFE0FFC03 F803FC1E1B7E9A21>97 DI<003FF00001FFFC0003F03E000FC07F001F807F003F007F003F007F007F00 3E007E0000007E000000FE000000FE000000FE000000FE000000FE000000FE000000FE00 00007E0000007E0000007F0000003F0003803F8003801F8007000FE00E0003F83C0001FF F800003FC000191B7E9A1E>I<00007FF000007FF000007FF0000007F0000007F0000007 F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007F0000007 F0003F87F001FFF7F007F03FF00FC00FF01F8007F03F0007F03F0007F07E0007F07E0007 F07E0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE0007F0FE0007 F07E0007F07E0007F03F0007F03F0007F01F800FF00FC01FF007E07FFF01FFE7FF007F87 FF202A7EA925>I<003FC00001FFF00003E07C000F803E001F801F001F001F003F000F80 7E000F807E000FC07E000FC0FE0007C0FE0007C0FFFFFFC0FFFFFFC0FE000000FE000000 FE0000007E0000007E0000007F0000003F0001C01F0001C00F80038007C0070003F01E00 00FFFC00003FE0001A1B7E9A1F>I<0007F8003FFC007E3E01FC7F03F87F03F07F07F07F 07F03E07F00007F00007F00007F00007F00007F00007F000FFFFC0FFFFC0FFFFC007F000 07F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F00007F000 07F00007F00007F00007F00007F00007F00007F00007F0007FFF807FFF807FFF80182A7E A915>I104 D<07000F801FC03FE03FE03FE01FC00F8007000000000000000000000000000000FFE0FF E0FFE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00FE00F E00FE00FE00FE00FE0FFFEFFFEFFFE0F2B7EAA12>I<000700000F80001FC0003FE0003F E0003FE0001FC0000F8000070000000000000000000000000000000000000000000001FF E001FFE001FFE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000F E0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000FE0000F E0000FE0000FE0000FE0000FE0000FE0000FE07C0FE0FE0FE0FE0FC0FE1F80FE1F007C3E 003FFC000FF000133784AA15>I108 DII<003FE00001FFFC0003F07E00 0FC01F801F800FC03F0007E03F0007E07E0003F07E0003F07E0003F0FE0003F8FE0003F8 FE0003F8FE0003F8FE0003F8FE0003F8FE0003F8FE0003F87E0003F07E0003F03F0007E0 3F0007E01F800FC00FC01F8007F07F0001FFFC00003FE0001D1B7E9A22>II114 D<03FE300FFFF03E03F07800F07000F0F00070F00070F80070FE0000FFE0007FFF007FFF C03FFFE01FFFF007FFF800FFF80007FC0000FCE0007CE0003CF0003CF00038F80038FC00 70FF01E0E7FFC0C1FF00161B7E9A1B>I<00700000700000700000700000F00000F00000 F00001F00003F00003F00007F0001FFFE0FFFFE0FFFFE007F00007F00007F00007F00007 F00007F00007F00007F00007F00007F00007F00007F00007F00007F07007F07007F07007 F07007F07007F07007F07003F0E001F8C000FFC0003F0014267FA51A>I IIIII<3FFFFF3FFFFF3F00FE3C01FE38 03FC7803F87807F0700FF0700FE0701FC0003FC0003F80007F0000FF0000FE0001FC0703 FC0703F80707F0070FF00F0FE00F1FC00E3FC01E7F803E7F00FEFFFFFEFFFFFE181B7E9A 1E>I E /Fn 1 1 df0 D E /Fo 3 91 df<07800001C00000E00000E00000F0000070000070000070000038000038000038 00003C00001C00001C00001E00000E00001E00003F0000670000C7000187800303800703 800E03801C03C03801C07001C0E001E06000E0131D7E9C18>21 D<60F0F06004047C830C >58 D<00FFFFE000F001C001C003800180070001000E0001001E0002001C000200380002 0070000000E0000001C0000003800000070000000F0000001E0000001C00000038000000 70020000E0040001C0040003800400070008000F0008000E0018001C0030003800700070 01E000FFFFE0001B1C7E9B1C>90 D E /Fp 7 117 df<00038000000380000007C00000 07C0000007C000000FE000000FE000001FF000001BF000001BF0000031F8000031F80000 61FC000060FC0000E0FE0000C07E0000C07E0001803F0001FFFF0003FFFF8003001F8003 001F8006000FC006000FC00E000FE00C0007E0FFC07FFEFFC07FFE1F1C7E9B24>65 D<0FF8001C1E003E0F803E07803E07C01C07C00007C0007FC007E7C01F07C03C07C07C07 C0F807C0F807C0F807C0780BC03E13F80FE1F815127F9117>97 DI<03FC000E0E001C1F003C1F00781F00780E00F80000F800 00F80000F80000F80000F800007800007801803C01801C03000E0E0003F80011127E9115 >I114 D<1FD830786018E018E018F000FF807FE07FF01FF807FC007CC01CC01CE01CE018F830CF C00E127E9113>I<0300030003000300070007000F000F003FFCFFFC1F001F001F001F00 1F001F001F001F001F001F0C1F0C1F0C1F0C0F08079803F00E1A7F9913>I E /Fq 79 128 df<001F83E000F06E3001C078780380F8780300F0300700700007007000 0700700007007000070070000700700007007000FFFFFF80070070000700700007007000 070070000700700007007000070070000700700007007000070070000700700007007000 0700700007007000070070000700700007007000070070007FE3FF001D20809F1B>11 D<003F0000E0C001C0C00381E00701E00701E00700000700000700000700000700000700 00FFFFE00700E00700E00700E00700E00700E00700E00700E00700E00700E00700E00700 E00700E00700E00700E00700E00700E00700E00700E07FC3FE1720809F19>I<7038F87C FC7EFC7E743A0402040204020804080410081008201040200F0E7E9F17>34 D<70F8FCFC74040404080810102040060E7C9F0D>39 D<0020004000800100020006000C 000C00180018003000300030007000600060006000E000E000E000E000E000E000E000E0 00E000E000E000E0006000600060007000300030003000180018000C000C000600020001 000080004000200B2E7DA112>I<800040002000100008000C0006000600030003000180 0180018001C000C000C000C000E000E000E000E000E000E000E000E000E000E000E000E0 00C000C000C001C001800180018003000300060006000C00080010002000400080000B2E 7DA112>I<00060000000600000006000000060000000600000006000000060000000600 0000060000000600000006000000060000000600000006000000060000FFFFFFF0FFFFFF F00006000000060000000600000006000000060000000600000006000000060000000600 000006000000060000000600000006000000060000000600001C207D9A23>43 D<70F8FCFC74040404080810102040060E7C840D>II<70F8F8F8 7005057C840D>I<03F0000E1C001C0E00180600380700700380700380700380700380F0 03C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F003C0F0 03C07003807003807003807807803807001806001C0E000E1C0003F000121F7E9D17>48 D<018003800F80F380038003800380038003800380038003800380038003800380038003 80038003800380038003800380038003800380038007C0FFFE0F1E7C9D17>I<03F0000C 1C00100E00200700400780800780F007C0F803C0F803C0F803C02007C00007C000078000 0780000F00000E00001C0000380000700000600000C0000180000300000600400C004018 00401000803FFF807FFF80FFFF80121E7E9D17>I<03F0000C1C00100E00200F00780F80 780780780780380F80000F80000F00000F00000E00001C0000380003F000003C00000E00 000F000007800007800007C02007C0F807C0F807C0F807C0F00780400780400F00200E00 1C3C0003F000121F7E9D17>I<000600000600000E00000E00001E00002E00002E00004E 00008E00008E00010E00020E00020E00040E00080E00080E00100E00200E00200E00400E 00C00E00FFFFF0000E00000E00000E00000E00000E00000E00000E0000FFE0141E7F9D17 >I<1803001FFE001FFC001FF8001FE00010000010000010000010000010000010000011 F000161C00180E001007001007800003800003800003C00003C00003C07003C0F003C0F0 03C0E00380400380400700200600100E000C380003E000121F7E9D17>I<007C00018200 0701000E03800C07801C0780380300380000780000700000700000F1F000F21C00F40600 F80700F80380F80380F003C0F003C0F003C0F003C0F003C07003C07003C0700380380380 3807001807000C0E00061C0001F000121F7E9D17>I<4000007FFFC07FFF807FFF804001 0080020080020080040000080000080000100000200000200000400000400000C00000C0 0001C0000180000380000380000380000380000780000780000780000780000780000780 00078000030000121F7D9D17>I<03F0000C0C0010060030030020018060018060018060 01807001807803003E03003F06001FC8000FF00003F80007FC000C7E00103F00300F8060 03804001C0C001C0C000C0C000C0C000C0C000806001802001001002000C0C0003F00012 1F7E9D17>I<03F0000E18001C0C00380600380700700700700380F00380F00380F003C0 F003C0F003C0F003C0F003C07007C07007C03807C0180BC00E13C003E3C0000380000380 000380000700300700780600780E00700C002018001070000FC000121F7E9D17>I<70F8 F8F8700000000000000000000070F8F8F87005147C930D>I<70F8F8F870000000000000 0000000070F0F8F878080808101010202040051D7C930D>I<7FFFFFE0FFFFFFF0000000 0000000000000000000000000000000000000000000000000000000000FFFFFFF07FFFFF E01C0C7D9023>61 D<0FC0307040384038E03CF03CF03C603C0038007000E000C0018001 80010003000200020002000200020002000000000000000000000007000F800F800F8007 000E207D9F15>63 D<000100000003800000038000000380000007C0000007C0000007C0 000009E0000009E0000009E0000010F0000010F0000010F0000020780000207800002078 0000403C0000403C0000403C0000801E0000801E0000FFFE0001000F0001000F0001000F 00020007800200078002000780040003C00E0003C01F0007E0FFC03FFE1F207F9F22>65 DI<000FC040007030C001C009C0 038005C0070003C00E0001C01E0000C01C0000C03C0000C07C0000407C00004078000040 F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000F8000000 780000007C0000407C0000403C0000401C0000401E0000800E0000800700010003800200 01C0040000703800000FC0001A217D9F21>IIII<000FE0200078186000E004E0038002E0070001E0 0F0000E01E0000601E0000603C0000603C0000207C00002078000020F8000000F8000000 F8000000F8000000F8000000F8000000F8000000F8007FFCF80003E0780001E07C0001E0 3C0001E03C0001E01E0001E01E0001E00F0001E0070001E0038002E000E0046000781820 000FE0001E217D9F24>III<0FFFC0007C 00003C00003C00003C00003C00003C00003C00003C00003C00003C00003C00003C00003C 00003C00003C00003C00003C00003C00003C00003C00003C00003C00203C00F83C00F83C 00F83C00F0380040780040700030E0000F800012207E9E17>IIIII<001F800000F0F00001C0380007801E000F000F000E0007001E00 07803C0003C03C0003C07C0003E0780001E0780001E0F80001F0F80001F0F80001F0F800 01F0F80001F0F80001F0F80001F0F80001F0F80001F0780001E07C0003E07C0003E03C00 03C03C0003C01E0007800E0007000F000F0007801E0001C0380000F0F000001F80001C21 7D9F23>II82 D<07E0800C198010078030038060018060 0180E00180E00080E00080E00080F00000F000007800007F00003FF0001FFC000FFE0003 FF00001F800007800003C00003C00001C08001C08001C08001C08001C0C00180C00380E0 0300F00600CE0C0081F80012217D9F19>I<7FFFFFE0780F01E0600F0060400F0020400F 0020C00F0030800F0010800F0010800F0010800F0010000F0000000F0000000F0000000F 0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F0000000F 0000000F0000000F0000000F0000000F0000000F0000000F0000001F800007FFFE001C1F 7E9E21>IIII89 D91 D<080410082010201040204020804080408040 B85CFC7EFC7E7C3E381C0F0E7B9F17>II<081020 204040808080B8FCFC7C38060E7D9F0D>96 D<1FE000303000781800781C00300E00000E 00000E00000E0000FE00078E001E0E00380E00780E00F00E10F00E10F00E10F01E10781E 103867200F83C014147E9317>I<0E0000FE00000E00000E00000E00000E00000E00000E 00000E00000E00000E00000E00000E3E000EC3800F01C00F00E00E00E00E00700E00700E 00780E00780E00780E00780E00780E00780E00700E00700E00E00F00E00D01C00CC30008 3E0015207F9F19>I<03F80E0C1C1E381E380C70007000F000F000F000F000F000F00070 007000380138011C020E0C03F010147E9314>I<000380003F8000038000038000038000 038000038000038000038000038000038000038003E380061B801C078038038038038070 0380700380F00380F00380F00380F00380F00380F003807003807003803803803807801C 07800E1B8003E3F815207E9F19>I<03F0000E1C001C0E00380700380700700700700380 F00380F00380FFFF80F00000F00000F000007000007000003800801800800C0100070600 01F80011147F9314>I<007C00C6018F038F07060700070007000700070007000700FFF0 070007000700070007000700070007000700070007000700070007000700070007000700 7FF01020809F0E>I<0000E003E3300E3C301C1C30380E00780F00780F00780F00780F00 780F00380E001C1C001E380033E0002000002000003000003000003FFE001FFF800FFFC0 3001E0600070C00030C00030C00030C000306000603000C01C038003FC00141F7F9417> I<0E0000FE00000E00000E00000E00000E00000E00000E00000E00000E00000E00000E00 000E3E000E43000E81800F01C00F01C00E01C00E01C00E01C00E01C00E01C00E01C00E01 C00E01C00E01C00E01C00E01C00E01C00E01C00E01C0FFE7FC16207F9F19>I<1C001E00 3E001E001C000000000000000000000000000E007E000E000E000E000E000E000E000E00 0E000E000E000E000E000E000E000E000E000E00FFC00A1F809E0C>I<00E001F001F001 F000E0000000000000000000000000007007F000F0007000700070007000700070007000 7000700070007000700070007000700070007000700070007000706070F060F0C061803F 000C28829E0E>I<0E0000FE00000E00000E00000E00000E00000E00000E00000E00000E 00000E00000E00000E0FF00E03C00E03000E02000E04000E08000E10000E30000E70000E F8000F38000E1C000E1E000E0E000E07000E07800E03800E03C00E03E0FFCFF815207F9F 18>I<0E00FE000E000E000E000E000E000E000E000E000E000E000E000E000E000E000E 000E000E000E000E000E000E000E000E000E000E000E000E000E000E00FFE00B20809F0C >I<0E1F01F000FE618618000E81C81C000F00F00E000F00F00E000E00E00E000E00E00E 000E00E00E000E00E00E000E00E00E000E00E00E000E00E00E000E00E00E000E00E00E00 0E00E00E000E00E00E000E00E00E000E00E00E000E00E00E00FFE7FE7FE023147F9326> I<0E3E00FE43000E81800F01C00F01C00E01C00E01C00E01C00E01C00E01C00E01C00E01 C00E01C00E01C00E01C00E01C00E01C00E01C00E01C0FFE7FC16147F9319>I<01F80007 0E001C03803801C03801C07000E07000E0F000F0F000F0F000F0F000F0F000F0F000F070 00E07000E03801C03801C01C0380070E0001F80014147F9317>I<0E3E00FEC3800F01C0 0F00E00E00E00E00F00E00700E00780E00780E00780E00780E00780E00780E00700E00F0 0E00E00F01E00F01C00EC3000E3E000E00000E00000E00000E00000E00000E00000E0000 0E0000FFE000151D7F9319>I<03E0800619801C05803C0780380380780380700380F003 80F00380F00380F00380F00380F003807003807803803803803807801C0B800E138003E3 80000380000380000380000380000380000380000380000380003FF8151D7E9318>I<0E 78FE8C0F1E0F1E0F0C0E000E000E000E000E000E000E000E000E000E000E000E000E000E 00FFE00F147F9312>I<1F9030704030C010C010C010E00078007F803FE00FF000708038 80188018C018C018E030D0608F800D147E9312>I<020002000200060006000E000E003E 00FFF80E000E000E000E000E000E000E000E000E000E000E000E080E080E080E080E0806 10031001E00D1C7F9B12>I<0E01C0FE1FC00E01C00E01C00E01C00E01C00E01C00E01C0 0E01C00E01C00E01C00E01C00E01C00E01C00E01C00E01C00E03C00603C0030DC001F1FC 16147F9319>III<7FC3FC0F01E00701C007018003810001C20000 E40000EC00007800003800003C00007C00004E000087000107000303800201C00601E01E 01E0FF07FE1714809318>II<3FFF 380E200E201C40384078407000E001E001C00380078007010E011E011C0338027006700E FFFE10147F9314>II<30307878F87C787830300E057C9E17>127 D E /Fr 17 123 df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s 45 123 df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end %%EndProlog %%BeginSetup %%Feature: *Resolution 300dpi TeXDict begin %%PaperSize: A4 %%EndSetup %%Page: 1 1 1 0 bop 980 199 a Fs(T)m(o)13 b(app)q(ear)h(in)f(Studia)h(Logica,)e(v)o (ol.)h(62)g(no.)g(2)h(\(1999\))486 373 y Fr(Monotone)19 b(ma)s(jorizable)f(functionals)688 487 y Fq(Helm)o(ut)d(Sc)o(h)o(wic)o (h)o(ten)o(b)q(erg)830 595 y Fp(Abstract)164 671 y Fs(Sev)o(eral)d (prop)q(erties)i(of)d(monotone)f(functionals)i(\(MF\))g(and)g(monotone) e(ma)r(jorizable)g(functionals)102 721 y(\(MMF\))j(used)g(in)f(the)h (earlier)f(w)o(ork)g(b)o(y)g(the)h(author)f(and)g(v)n(an)g(de)h(P)o(ol) e(are)i(pro)o(v)o(ed.)18 b(It)12 b(turns)h(out)g(that)102 771 y(the)i(terms)e(of)h(the)h(simply)d(t)o(yp)q(ed)j(lam)o(b)q (da-calculus)c(de\014ne)16 b(MF,)d(but)i(adding)e(primitiv)o(e)f (recursion,)102 821 y(and)h(ev)o(en)h(monotonic)d(primitiv)o(e)g (recursion)k(c)o(hanges)f(the)f(situation:)k(already)c Fo(\025Z)q(:Z)s Fs(\(1)8 b Fn(\000)h Fs(sg\))14 b(is)f(not)102 870 y(MMF.)i(It)h(is)g(pro)o(v)o(ed)g(that)f(extensionalit)o(y)g(is)h (not)g(Dialectica-realizable)e(b)o(y)i(MMF,)f(and)h(a)f(simple)102 920 y(example)d(of)i(a)f(MF)h(whic)o(h)g(is)g(not)g(hereditarily)f(ma)r (jorizable)f(is)i(giv)o(en.)164 970 y(Keyw)o(ords:)24 b(Monotone)16 b(functionals,)g(monotone)e(ma)r(jorizable)h (functionals,)g(hereditarily)i(ma-)102 1020 y(jorizable)f(functionals,) h(simply)e(t)o(yp)q(ed)j(lam)o(b)q(da-calculus,)d(extensionalit)o(y)m (,)i(Dialectica)f(in)o(terpreta-)102 1070 y(tion)-12 1221 y Fm(1)67 b(In)n(tro)r(duction)-12 1331 y Fq(F)l(or)17 b(higher)i(order)e(functionals)i(there)f(is)g(a)f(rather)g(natural)h (notion)g(of)f(monotonicit)o(y)l(.)27 b(In)19 b(the)e(presen)o(t)-12 1387 y(pap)q(er)e(w)o(e)f(adress)g(a)g(question)h(ask)o(ed)f(b)o(y)h Fl(Mints)f Fq(\(at)f(the)i(In)o(ternational)g(Congress)f(for)f(Logic,)i (Metho)q(d-)-12 1444 y(ology)f(and)g(the)g(Philosoph)o(y)h(of)e (Science)j(in)f(Florence)g(1995\):)i(Ho)o(w)d(do)f(monotone)h (functionals)h(relate)f(to)-12 1500 y Fl(Ho)o(w)l(ard)p Fq('s)h(hereditarily)i(ma)s(jorizable)f(functionals)g([2)o(,)f(p.454]?) 38 1565 y(Clearly)g(the)f(t)o(w)o(o)e(notions)i(to)f(b)q(e)i(compared)f (should)h(b)q(e)f(the)g(monotone)f Fk(majorizable)k Fq(and)e(the)e (hered-)-12 1622 y(itarily)22 b(ma)s(jorizable)f(functionals.)38 b(The)21 b(\014rst)f(and)h(easy)g(observ)m(ation)g(is)h(that)e(not)g (ev)o(ery)h(monotone)-12 1678 y(ma)s(jorizable)14 b(functional)h(is)g (hereditarily)h(ma)s(jorizable;)e(this)g(will)i(b)q(e)e(sho)o(wn)g(b)o (y)g(means)g(of)f(a)h(coun)o(terex-)-12 1734 y(ample)e(b)q(elo)o(w.)19 b(Next)10 b(w)o(e)h(go)f(bac)o(k)h(to)f Fl(Ho)o(w)l(ard)p Fq('s)g(original)i(motiv)m(ation)f(for)g(in)o(tro)q(ducing)h(the)f (hereditarily)-12 1791 y(ma)s(jorizable)18 b(functionals:)27 b(he)19 b(used)g(them)f(as)f(a)h(to)q(ol)g(to)g(pro)o(v)o(e)f(that)h (\\the)g(Dialectica)h(in)o(terpretation)-12 1847 y(of)e(the)g(simplest) h(non)o(trivial)g(case)f Fj(8)p Fi(y)657 1831 y Fh(2)676 1847 y Fi(E)710 1854 y Fh(2)730 1847 y Fq(\()p Fi(y)r Fq(\))f(of)g(the)h(axiom)g(of)g(extensionalit)o(y)h(cannot)f(b)q(e)g (carried)h(out)-12 1904 y(b)o(y)h(use)g(of)f(a)g(primitiv)o(e)i (recursiv)o(e)g(functional".)31 b(W)l(e)19 b(will)h(sho)o(w)e(that)g (the)h(same)f(holds)i(if)f(w)o(e)f(replace)-12 1960 y(`primitiv)o(e)h (recursiv)o(e')f(b)o(y)f(`monotone)g(ma)s(jorizable'.)26 b(Since)19 b(there)f(are)f(monotone)g(ma)s(jorizable)h(func-)-12 2017 y(tionals)i(that)e(are)h(not)f(hereditarily)j(ma)s(jorizable)e (and)g(hence)h(not)f(primitiv)o(e)h(recursiv)o(e,)h(w)o(e)d(obtain)i(a) -12 2073 y(prop)q(osition)d(not)g(con)o(tained)g(in)g Fl(Ho)o(w)l(ard)p Fq('s.)23 b(Ho)o(w)o(ev)o(er,)16 b(not)g(ev)o(ery)g (primitiv)o(e)i(recursiv)o(e)f(functional)h(is)-12 2130 y(monotone)e(ma)s(jorizable)g(\(this)h(w)o(as)e(conjectured)i(in)g(a)f (\014rst)g(draft)f(of)h(this)h(pap)q(er)f(and)h(recen)o(tly)g(pro)o(v)o (ed)-12 2186 y(b)o(y)f Fl(v)l(an)h(de)h(Pol)p Fq(\);)c(hence)i(our)f (result)h(is)g(indep)q(enden)o(t)h(of)h Fl(Ho)o(w)l(ard)p Fq('s.)38 2251 y(W)l(e)11 b(also)f(giv)o(e)h(a)f(c)o(haracterization)h (of)f(the)h(monotone)f(ma)s(jorizable)g(functionals)i(b)o(y)e(means)h (of)f(a)g(v)m(arian)o(t)-12 2307 y(of)15 b(another)g(notion)g(in)o(tro) q(duced)h(b)o(y)g Fl(Ho)o(w)l(ard)p Fq(:)k(that)14 b(of)h(a)g Fk(c)n(omp)n(act)k Fq(set)c(of)g(functionals;)h(see)f([2)o(,)g(p.164].) -12 2364 y(Call)f(a)f(set)g Fj(A)h Fq(of)e(functionals)j(of)d(t)o(yp)q (e)i Fi(\032)e Fq(=)h Fi(\032)774 2371 y Fh(1)806 2364 y Fj(!)g(\001)8 b(\001)g(\001)i(!)j Fi(\032)1011 2371 y Fg(n)1047 2364 y Fj(!)g Fi(\023)g Fj(M)p Fk(-c)n(omp)n(act)18 b Fq(\()p Fj(M)12 b Fq(for)h(monotone\))f(if)i(for)-12 2420 y(all)i Fj(M)p Fq(-compact)f(sets)g Fj(B)422 2427 y Fh(1)442 2420 y Fi(;)8 b(:)g(:)g(:)k(;)c Fj(B)581 2427 y Fg(n)619 2420 y Fq(of)14 b(monotone)h(functionals)h(of)f(t)o(yp)q(es) h Fi(\032)1308 2427 y Fh(1)1327 2420 y Fi(;)8 b(:)g(:)g(:)k(;)c(\032) 1460 2427 y Fg(n)1498 2420 y Fq(the)15 b(set)g Fj(AB)1713 2427 y Fh(1)1740 2420 y Fi(:)8 b(:)g(:)e Fj(B)1831 2427 y Fg(n)-12 2477 y Fq(is)17 b(\014nite.)25 b(Then)17 b(a)f(functional)i Fi(F)23 b Fq(is)17 b(monotone)f(ma)s(jorizable)g(if)h(and)g(only)g(if)g (the)g(singleton)g(set)f Fj(f)p Fi(F)6 b Fj(g)17 b Fq(is)-12 2533 y Fj(M)p Fq(-compact.)30 b(A)18 b(similar)i(c)o(haracterization)f (of)f(the)h(hereditarily)h(ma)s(jorizable)f(functionals)h(has)e(b)q (een)-12 2590 y(giv)o(en)e(b)o(y)g Fl(Bezem)f Fq(in)h([1,)e(p.276].)38 2654 y(It)j(seems)g(to)g(b)q(e)h(an)f(in)o(teresting)h(problem)g(to)e (study)h(what)g(happ)q(ens)h(if)g(ev)o(erything)f(is)h(based)f(of)g (the)-12 2711 y(total)e(con)o(tin)o(uous)g(functionals)h(\(cf.)f(the)g (b)q(o)q(ok)g(of)k Fl(Stol)m(tenber)o(g-Hansen)d Fq(et)f(al.)g([3)o(])g (for)f(the)i(relev)m(an)o(t)-12 2767 y(theory\),)c(instead)g(of)g(the)g (full)i(t)o(yp)q(e)e(structure)g(\()p Fj(T)847 2774 y Fg(\032)866 2767 y Fq(\).)19 b(Some)12 b(of)f(the)i(coun)o(terexamples) f(b)q(elo)o(w)h(mak)o(e)e(hea)o(vy)-12 2824 y(use)16 b(of)e(non-con)o(tin)o(uous)i(functionals.)910 3042 y(1)p eop %%Page: 2 2 2 1 bop -12 199 a Fm(2)67 b(Monotone)22 b(functionals)-12 308 y Fq(As)15 b(seman)o(tic)h(domains)f(w)o(e)g(tak)o(e)g(the)g(full)i (t)o(yp)q(e)e(structure)g(o)o(v)o(er)f(the)h(natural)h(n)o(um)o(b)q (ers.)721 404 y Fj(T)746 411 y Fg(\023)773 404 y Fq(:=)d Ff(N)p Fi(;)659 473 y Fj(T)684 480 y Fg(\032)p Fe(!)p Fg(\033)773 473 y Fq(:=)g Fj(f)8 b Fd(f)17 b Fj(j)12 b Fd(f)e Fq(:)15 b Fj(T)1002 480 y Fg(\032)1034 473 y Fj(!)e(T)1117 480 y Fg(\033)1148 473 y Fj(g)p Fi(:)-12 568 y Fq(W)l(e)k(also)g(use)h(the)f(natural)g(order)g Fi(>)639 575 y Fg(\023)670 568 y Fq(on)g Ff(N)p Fq(.)24 b(The)18 b(in)o(terpretation)f(of)g(a)f(term)h Fi(r)g Fq(in)h(the)f(t)o(yp)q(e)h(structure)-12 625 y(\()p Fj(T)31 632 y Fg(\032)51 625 y Fq(\))69 632 y Fg(\032)104 625 y Fq(under)e(an)f(en)o(vironmen)o(t)g Fi(U)20 b Fq(is)c(denoted)g(b)o (y)f([)-8 b([)p Fi(r)q Fq(])g(])947 632 y Fg(U)976 625 y Fq(.)38 688 y(W)l(e)15 b(b)q(egin)i(with)e(the)h(notion)f(of)g(a)g (monotone)f(functional,)i(follo)o(wing)g([4,)e(5].)-12 777 y Fd(De\014nition.)24 b Fk(F)m(or)18 b(every)h(typ)n(e)g Fi(\032)f Fk(we)g(de\014ne)g(the)h(set)f Fj(M)1012 784 y Fg(\032)1049 777 y Fj(\022)f(T)1126 784 y Fg(\032)1165 777 y Fk(of)28 b Fq(monotone)18 b(functionals)h Fk(of)g(typ)n(e)g Fi(\032)-12 833 y Fk(and)d(simultane)n(ously)g(a)g(r)n(elation)g Fj(\025)622 840 y Fg(\032)659 833 y Fk(on)g Fj(T)749 840 y Fg(\032)769 833 y Fk(.)28 929 y(\(i\))22 b Fd(f)17 b Fj(2)c(M)j Fk(i\013)g Fd(f)i Fj(2)13 b(T)27 b Fk(and)17 b(in)e(c)n(ase)h Fd(f)21 b Fk(is)16 b(of)g(arr)n(ow)h(typ)n(e)g Fi(\032)12 b Fj(!)h Fi(\033)r Fk(:)307 1025 y Fj(8)p Fd(x)p Fj(2M)445 1032 y Fg(\032)465 1025 y Fq(\()p Fd(f)5 b Fq(\()p Fd(x)p Fq(\))11 b Fj(2)i(M)677 1032 y Fg(\033)700 1025 y Fq(\))46 b Fk(and)g Fj(8)p Fd(x)p Fi(;)8 b Fd(y)q Fj(2)o(M)1069 1032 y Fg(\032)1089 1025 y Fq(\()p Fd(x)k Fj(\025)1182 1032 y Fg(\032)1215 1025 y Fd(y)25 b Fq(=)-8 b Fj(\))27 b Fd(f)5 b Fq(\()p Fd(x)p Fq(\))11 b Fj(\025)1498 1032 y Fg(\033)1535 1025 y Fd(f)5 b Fq(\()p Fd(y)q Fq(\)\))p Fi(:)14 1138 y Fk(\(ii\))22 b Fd(f)17 b Fj(\025)c Fd(g)k Fk(i\013)g Fd(f)5 b Fi(;)j Fd(g)k Fj(2)h(T)28 b Fk(ar)n(e)16 b(of)g(the)h(same)f(typ)n(e)g(and)h(in)e(c)n(ase)h Fd(f)21 b Fk(is)16 b(of)156 1230 y Fj(\017)23 b Fk(gr)n(ound)16 b(typ)n(e)h Fi(\023)p Fk(:)j Fd(f)e Fj(\025)567 1237 y Fg(\023)595 1230 y Fd(g)q Fk(;)156 1301 y Fj(\017)23 b Fk(arr)n(ow)17 b(typ)n(e)f Fi(\032)c Fj(!)h Fi(\033)r Fk(:)21 b Fj(8)p Fd(x)p Fj(2M)721 1308 y Fg(\032)741 1301 y Fq(\()p Fd(f)5 b Fq(\()p Fd(x)p Fq(\))11 b Fj(\025)890 1308 y Fg(\033)926 1301 y Fd(g)q Fq(\()p Fd(x)p Fq(\)\))p Fk(.)38 1396 y Fq(Note)k(that)f Fj(\025)281 1403 y Fg(\032)317 1396 y Fq(only)i(is)f(a)g(quasi)h(order)f(on)g Fj(T)825 1403 y Fg(\032)845 1396 y Fq(:)20 b(from)14 b Fd(x)e Fj(\025)h Fd(y)g Fj(\025)g Fd(x)i Fq(w)o(e)g(cannot)g(conclude)i Fd(x)12 b Fq(=)h Fd(y)q Fq(.)38 1460 y(The)i(previous)h(de\014nition)h (can)f(also)f(b)q(e)h(written)f(more)g(compactly)g(as)g(follo)o(ws.)20 b(Let)15 b Fj(M)e Fq(:=)1674 1426 y Fc(S)1712 1473 y Fg(\032)1740 1460 y Fj(M)1795 1467 y Fg(\032)1814 1460 y Fq(.)-12 1548 y Fd(Lemma.)22 b Fk(F)m(or)16 b(al)r(l)g Fd(f)5 b Fi(;)j Fd(g)13 b Fj(2)g(T)492 1555 y Fg(\032)512 1548 y Fk(,)28 1644 y(\(i\))22 b Fd(f)17 b Fj(2)c(M)j Fk(i\013)g Fj(8)331 1643 y Fi(~)332 1644 y Fd(x)p Fi(;)380 1643 y(~)381 1644 y Fd(y)p Fj(2M)p Fq(\()511 1643 y Fi(~)512 1644 y Fd(x)11 b Fj(\025)599 1643 y Fi(~)599 1644 y Fd(y)26 b Fq(=)-8 b Fj(\))26 b Fd(f)5 b Fq(\()789 1643 y Fi(~)790 1644 y Fd(x)p Fq(\))12 b Fj(\025)883 1651 y Fg(\023)910 1644 y Fd(f)5 b Fq(\()948 1643 y Fi(~)949 1644 y Fd(y)p Fq(\)\))p Fk(.)14 1736 y(\(ii\))22 b Fd(f)17 b Fj(\025)c Fd(g)k Fk(i\013)g Fj(8)309 1735 y Fi(~)310 1736 y Fd(x)o Fj(2)q(M)p Fq(\()p Fd(f)5 b Fq(\()479 1735 y Fi(~)480 1736 y Fd(x)n Fq(\))12 b Fj(\025)571 1743 y Fg(\023)599 1736 y Fd(g)q Fq(\()643 1735 y Fi(~)644 1736 y Fd(x)o Fq(\)\))p Fk(.)-12 1831 y(Her)n(e)96 1830 y Fi(~)97 1831 y Fd(x)k Fk(and)229 1830 y Fi(~)229 1831 y Fd(y)h Fk(only)f(r)n(ange)g (over)h(ve)n(ctors)e(for)i(which)g Fd(f)5 b Fq(\()989 1830 y Fi(~)990 1831 y Fd(x)o Fq(\))16 b Fk(and)h Fd(f)5 b Fq(\()1178 1830 y Fi(~)1179 1831 y Fd(y)p Fq(\))16 b Fk(ar)n(e)g(of)h(b)n(ase)f(typ)n(e.)1583 1830 y Fi(~)1584 1831 y Fd(x)c Fj(\025)1672 1830 y Fi(~)1673 1831 y Fd(y)k Fk(me)n(ans:)-12 1888 y(F)m(or)g(al)r(l)g Fi(i)g Fk(we)g(have)h Fd(x)370 1895 y Fg(i)396 1888 y Fj(\025)c Fd(y)472 1895 y Fg(i)-12 1988 y Fk(Pr)n(o)n(of.)23 b Fq(\(ii\).)35 b(By)20 b(induction)i(on)e(the)g(t)o(yp)q(e.)35 b(=)-8 b Fj(\))p Fq(.)36 b(Assume)20 b Fd(f)26 b Fj(\025)1179 1995 y Fg(\032)p Fe(!)p Fg(\033)1277 1988 y Fd(g)q Fq(,)20 b(and)h(let)f Fd(x)p Fi(;)1549 1987 y(~)1550 1988 y Fd(x)g Fj(2)h(M)p Fq(.)34 b(Then)-12 2044 y Fd(f)5 b Fq(\()p Fd(x)p Fq(\))16 b Fj(\025)124 2051 y Fg(\033)165 2044 y Fd(g)q Fq(\()p Fd(x)p Fq(\))h(b)o(y)h(de\014nition,)i(hence)f Fd(f)5 b Fq(\()p Fd(x)p Fi(;)773 2043 y(~)774 2044 y Fd(x)n Fq(\))17 b Fj(\025)870 2051 y Fg(\033)911 2044 y Fd(g)q Fq(\()p Fd(x)p Fi(;)1004 2043 y(~)1005 2044 y Fd(x)n Fq(\))g(b)o(y)h(induction)i(h)o(yp)q(othesis.)29 b Fj(\()-8 b Fq(=.)29 b(Assume)-12 2101 y Fj(8)p Fd(x)p Fi(;)61 2100 y(~)62 2101 y Fd(x)o Fj(2M)p Fq(\()p Fd(f)5 b Fq(\()p Fd(x)p Fi(;)279 2100 y(~)280 2101 y Fd(x)m Fq(\))13 b Fj(\025)371 2108 y Fg(\023)399 2101 y Fd(g)q Fq(\()p Fd(x)p Fi(;)492 2100 y(~)493 2101 y Fd(x)n Fq(\)\).)20 b(F)l(or)15 b Fd(x)e Fj(2)g(M)809 2108 y Fg(\032)845 2101 y Fq(w)o(e)i(sho)o(w)g Fd(f)5 b Fq(\()p Fd(x)p Fq(\))12 b Fj(\025)1157 2108 y Fg(\033)1194 2101 y Fd(g)q Fq(\()p Fd(x)p Fq(\))i(using)i(the)g(induction)h(h)o(yp)q(oth-)-12 2157 y(esis.)k(So)15 b(let)217 2156 y Fi(~)218 2157 y Fd(x)e Fj(2)g(M)p Fq(.)19 b(Then)d Fd(f)5 b Fq(\()p Fd(x)p Fi(;)595 2156 y(~)596 2157 y Fd(x)n Fq(\))12 b Fj(\025)687 2164 y Fg(\033)723 2157 y Fd(g)q Fq(\()p Fd(x)p Fi(;)816 2156 y(~)817 2157 y Fd(x)n Fq(\))j(b)o(y)g(assumption.)38 2221 y(\(i\).)25 b(By)17 b(induction)i(on)e(the)g(t)o(yp)q(e,)g(using)h (\(ii\).)26 b(=)-8 b Fj(\))p Fq(.)26 b(Assume)17 b Fd(f)k Fj(2)16 b(M)1302 2228 y Fg(\032)p Fe(!)p Fg(\033)1378 2221 y Fq(,)h(and)g(let)h Fd(x)p Fi(;)1614 2220 y(~)1615 2221 y Fd(x)n Fi(;)8 b Fd(y)q Fi(;)1711 2220 y(~)1712 2221 y Fd(y)14 b Fj(2)i(M)-12 2277 y Fq(suc)o(h)d(that)f Fd(x)p Fi(;)232 2276 y(~)233 2277 y Fd(x)f Fj(\025)i Fd(y)q Fi(;)369 2276 y(~)370 2277 y Fd(y)o Fq(.)19 b(W)l(e)12 b(m)o(ust)h(sho)o(w)f Fd(f)5 b Fq(\()p Fd(x)p Fi(;)812 2276 y(~)813 2277 y Fd(x)n Fq(\))12 b Fj(\025)904 2284 y Fg(\023)931 2277 y Fd(f)5 b Fq(\()p Fd(y)q Fi(;)1019 2276 y(~)1020 2277 y Fd(y)o Fq(\).)18 b(F)l(rom)12 b Fd(f)18 b Fj(2)13 b(M)1345 2284 y Fg(\032)p Fe(!)p Fg(\033)1434 2277 y Fq(w)o(e)f(obtain)h Fd(f)5 b Fq(\()p Fd(x)p Fq(\))11 b Fj(2)i(M)1831 2284 y Fg(\033)-12 2334 y Fq(and)19 b Fd(f)5 b Fq(\()p Fd(x)p Fq(\))16 b Fj(\025)216 2341 y Fg(\033)257 2334 y Fd(f)5 b Fq(\()p Fd(y)q Fq(\))17 b(\(since)i Fd(x)e Fj(\025)572 2341 y Fg(\032)610 2334 y Fd(y)q Fq(\).)28 b(Hence)19 b(b)o(y)f(induction)i(h)o(yp)q(othesis)f Fd(f)5 b Fq(\()p Fd(x)p Fi(;)1421 2333 y(~)1422 2334 y Fd(x)n Fq(\))18 b Fj(\025)1519 2341 y Fg(\023)1551 2334 y Fd(f)5 b Fq(\()p Fd(x)p Fi(;)1638 2333 y(~)1639 2334 y Fd(y)o Fq(\),)18 b(and)g(b)o(y)-12 2390 y(\(ii\))g Fd(f)5 b Fq(\()p Fd(x)p Fi(;)153 2389 y(~)154 2390 y Fd(y)o Fq(\))15 b Fj(\025)249 2397 y Fg(\023)280 2390 y Fd(f)5 b Fq(\()p Fd(y)q Fi(;)368 2389 y(~)369 2390 y Fd(y)n Fq(\).)25 b Fj(\()-8 b Fq(=.)27 b(Assume)17 b Fj(8)p Fd(x)p Fi(;)806 2389 y(~)807 2390 y Fd(x)o Fi(;)8 b Fd(y)q Fi(;)904 2389 y(~)905 2390 y Fd(y)n Fj(2M)p Fq(\()p Fd(x)p Fi(;)1082 2389 y(~)1083 2390 y Fd(x)14 b Fj(\025)i Fd(y)q Fi(;)1225 2389 y(~)1226 2390 y Fd(y)30 b Fq(=)-8 b Fj(\))33 b Fd(f)5 b Fq(\()p Fd(x)p Fi(;)1476 2389 y(~)1477 2390 y Fd(x)n Fq(\))15 b Fj(\025)1571 2397 y Fg(\023)1602 2390 y Fd(f)5 b Fq(\()p Fd(y)q Fi(;)1690 2389 y(~)1691 2390 y Fd(y)n Fq(\)\).)25 b(W)l(e)-12 2447 y(\014rst)19 b(sho)o(w)f Fj(8)p Fd(x)p Fj(2M)340 2454 y Fg(\032)360 2447 y Fq(\()p Fd(f)5 b Fq(\()p Fd(x)p Fq(\))17 b Fj(2)i(M)584 2454 y Fg(\033)607 2447 y Fq(\).)30 b(So)19 b(let)g Fd(x)f Fj(2)h(M)954 2454 y Fg(\032)974 2447 y Fq(.)30 b(W)l(e)19 b(sho)o(w)f Fd(f)5 b Fq(\()p Fd(x)p Fq(\))18 b Fj(2)g(M)1421 2454 y Fg(\033)1463 2447 y Fq(using)i(the)e(induction)-12 2503 y(h)o(yp)q(othesis.)23 b(So)16 b(let)361 2502 y Fi(~)362 2503 y Fd(x)p Fi(;)410 2502 y(~)411 2503 y Fd(y)d Fj(2)h(M)i Fq(with)670 2502 y Fi(~)671 2503 y Fd(x)e Fj(\025)761 2502 y Fi(~)762 2503 y Fd(y)i Fq(b)q(e)h(giv)o(en.)22 b(W)l(e)16 b(m)o(ust)g(sho)o(w)f Fd(f)5 b Fq(\()p Fd(x)p Fi(;)1400 2502 y(~)1401 2503 y Fd(x)n Fq(\))14 b Fj(\025)1494 2510 y Fg(\023)1522 2503 y Fd(f)5 b Fq(\()p Fd(x)p Fi(;)1609 2502 y(~)1610 2503 y Fd(y)o Fq(\).)22 b(But)16 b(this)-12 2560 y(follo)o(ws)f(from)e(our)i(assumption,)f(since)i Fd(x)p Fi(;)735 2559 y(~)736 2560 y Fd(x)11 b Fj(\025)i Fd(x)p Fi(;)871 2559 y(~)872 2560 y Fd(y)o Fq(.)19 b(W)l(e)c(no)o(w)f (sho)o(w)g Fj(8)p Fd(x)p Fi(;)8 b Fd(y)q Fj(2)n(M)1401 2567 y Fg(\032)1421 2560 y Fq(\()p Fd(x)k Fj(\025)1514 2567 y Fg(\032)1547 2560 y Fd(y)26 b Fq(=)-8 b Fj(\))26 b Fd(f)5 b Fq(\()p Fd(x)p Fq(\))12 b Fj(\025)1831 2567 y Fg(\033)-12 2616 y Fd(f)5 b Fq(\()p Fd(y)q Fq(\)\).)18 b(So)13 b(let)h Fd(x)p Fi(;)8 b Fd(y)k Fj(2)h(M)435 2623 y Fg(\032)468 2616 y Fq(with)h Fd(x)e Fj(\025)645 2623 y Fg(\032)678 2616 y Fd(y)i Fq(b)q(e)g(giv)o(en.)19 b(W)l(e)14 b(sho)o(w)f Fd(f)5 b Fq(\()p Fd(x)p Fq(\))11 b Fj(\025)1234 2623 y Fg(\033)1271 2616 y Fd(f)5 b Fq(\()p Fd(y)q Fq(\))12 b(using)i(\(ii\).)20 b(So)13 b(let)1703 2615 y Fi(~)1704 2616 y Fd(x)f Fj(2)h(M)p Fq(.)-12 2672 y(Then)j Fd(x)p Fi(;)155 2671 y(~)156 2672 y Fd(x)11 b Fj(\025)i Fd(y)q Fi(;)292 2671 y(~)293 2672 y Fd(x)n Fq(,)i(hence)h Fd(f)5 b Fq(\()p Fd(x)p Fi(;)560 2671 y(~)561 2672 y Fd(x)n Fq(\))12 b Fj(\025)652 2679 y Fg(\023)680 2672 y Fd(f)5 b Fq(\()p Fd(y)q Fi(;)768 2671 y(~)769 2672 y Fd(x)n Fq(\))14 b(b)o(y)i(our)e(assumption.)p 1821 2672 2 31 v 1823 2643 28 2 v 1823 2672 V 1850 2672 2 31 v -12 2765 a Fd(Lemma.)22 b Fk(F)m(or)16 b(every)g(term)h Fi(r)g Fk(of)g(the)f(simply)g(typ)n(e)n(d)g Fi(\025)p Fk(-c)n(alculus)f(we)i (have)28 2861 y(\(i\))22 b Fq([)-8 b([)p Fi(r)q Fq(])g(])160 2868 y Fg(U)201 2861 y Fj(2)13 b(M)i Fk(for)g(every)g(monotone)g(envir) n(onment)f Fi(U)20 b Fk(\(i.e.)14 b(mapping)h(variables)g(to)g (monotone)g(func-)102 2917 y(tionals\).)910 3042 y Fq(2)p eop %%Page: 3 3 3 2 bop 14 199 a Fk(\(ii\))22 b Fi(U)17 b Fj(\025)c Fi(V)35 b Fq(=)-8 b Fj(\))27 b Fq([)-8 b([)p Fi(r)q Fq(])g(])417 206 y Fg(U)458 199 y Fj(\025)13 b Fq([)-8 b([)p Fi(r)q Fq(])g(])564 206 y Fg(V)610 199 y Fk(for)16 b(monotone)h(envir)n (onments)d Fi(U;)8 b(V)h Fk(.)-12 301 y(Pr)n(o)n(of.)23 b Fq(By)d(induction)i(on)d Fi(r)i Fq(w)o(e)f(sho)o(w)f([)-8 b([)p Fi(r)q Fq(])g(])770 308 y Fg(U)798 300 y Fi(~)799 301 y Fd(x)20 b Fj(\025)h Fq([)-8 b([)p Fi(r)q Fq(])g(])961 308 y Fg(V)990 300 y Fi(~)991 301 y Fd(y)20 b Fq(for)f(monotone)h(en)o (vironmen)o(ts)g Fi(U)26 b Fj(\025)21 b Fi(V)29 b Fq(and)-12 358 y(monotone)15 b(argumen)o(ts)419 357 y Fi(~)420 358 y Fd(x)d Fj(\025)508 357 y Fi(~)509 358 y Fd(y)p Fq(;)j(this)h(clearly) h(implies)h(\(i\))d(and)h(\(ii\).)21 b(W)l(e)16 b(ma)o(y)e(assume)i (that)e Fi(r)j Fq(is)f(in)g(long)-12 414 y(normal)f(form,)f(i.e.)i Fi(r)d Fq(=)g Fi(\025)o(~)-22 b(x:z)q(~)g(r)p Fq(.)20 b(Let)15 b Fi(U)678 398 y Fe(0)703 414 y Fq(:=)d Fi(U)5 b Fq([)o Fi(~)-22 b(x)12 b Fj(7!)907 413 y Fi(~)909 414 y Fd(x)o Fq(])j(and)g Fi(V)1089 398 y Fe(0)1113 414 y Fq(:=)e Fi(V)c Fq([)o Fi(~)-22 b(x)13 b Fj(7!)1319 413 y Fi(~)1320 414 y Fd(y)p Fq(].)153 516 y([)-8 b([)p Fi(\025)o(~)-22 b(x)o(:z)q(~)g(r)p Fq(])-8 b(])298 523 y Fg(U)327 516 y Fq(\()344 515 y Fi(~)345 516 y Fd(x)p Fq(\))12 b(=)h([)-8 b([)p Fi(z)q(~)-22 b(r)q Fq(])-8 b(])532 524 y Fg(U)560 515 y Fb(0)403 585 y Fq(=)13 b Fi(U)487 567 y Fe(0)499 585 y Fq(\()p Fi(z)r Fq(\)[)-8 b([)o Fi(~)-22 b(r)p Fq(])-8 b(])615 593 y Fg(U)643 583 y Fb(0)403 654 y Fj(\025)13 b Fi(V)488 635 y Fe(0)499 654 y Fq(\()p Fi(z)r Fq(\)[)-8 b([)o Fi(~)-22 b(r)p Fq(])-8 b(])615 662 y Fg(U)643 652 y Fb(0)817 654 y Fq(since)16 b Fi(U)964 638 y Fe(0)976 654 y Fq(\()p Fi(z)r Fq(\))c Fj(\025)h Fi(V)1132 638 y Fe(0)1143 654 y Fq(\()p Fi(z)r Fq(\))i(and)g([)-8 b([)o Fi(~)-22 b(r)q Fq(])-8 b(])1363 662 y Fg(U)1391 652 y Fb(0)1416 654 y Fj(2)13 b(M)h Fq(b)o(y)h(IH\(i\))403 723 y Fj(\025)e Fi(V)488 704 y Fe(0)499 723 y Fq(\()p Fi(z)r Fq(\)[)-8 b([)o Fi(~)-22 b(r)p Fq(])-8 b(])615 731 y Fg(V)643 721 y Fb(0)817 723 y Fq(since)16 b([)-8 b([)o Fi(~)-22 b(r)q Fq(])-8 b(])986 731 y Fg(U)1014 721 y Fb(0)1039 723 y Fj(\025)13 b Fq([)-8 b([)o Fi(~)-22 b(r)p Fq(])-8 b(])1144 731 y Fg(V)1172 721 y Fb(0)1200 723 y Fq(b)o(y)16 b(IH\(ii\))403 792 y(=)d([)-8 b([)p Fi(z)q(~)-22 b(r)q Fq(])-8 b(])532 800 y Fg(V)560 790 y Fb(0)403 861 y Fq(=)13 b([)-8 b([)p Fi(\025)o(~)-22 b(x)o(:z)q(~)g(r)q Fq(])-8 b(])597 868 y Fg(V)627 861 y Fq(\()644 860 y Fi(~)645 861 y Fd(y)p Fq(\))p 738 861 2 31 v 740 832 28 2 v 740 861 V 767 861 2 31 v -12 963 a Fd(De\014nition.)24 b(f)d Fk(is)16 b(monotone)g(majorizable)h(i\013)f Fd(g)d Fj(\025)g Fd(f)21 b Fk(for)c(some)f(monotone)g Fd(g)q Fk(.)-12 1115 y Fm(3)67 b Fa(M)p Fm(-compact)22 b(functionals)-12 1224 y Fq(W)l(e)14 b(no)o(w)f(giv)o(e)h(a)g(c)o (haracterization)g(of)f(the)h(monotone)f(ma)s(jorizable)h(functionals)h (as)f(those)f(that)g(are)h(`)p Fj(M)p Fq(-)-12 1281 y(compact'.)19 b(A)13 b(similar)h(c)o(haracterization)g(of)e(the)i(hereditarily)h(ma)s (jorizable)e(functionals)h(has)f(b)q(een)i(giv)o(en)-12 1337 y(b)o(y)h Fl(Bezem)g Fq(in)g([1)o(].)-12 1431 y Fd(De\014nition.)24 b Fk(A)16 b(set)g Fj(A)h Fk(of)f(functionals)f(is)h Fj(M)p Fk(-c)n(omp)n(act)g(i\013)536 1533 y Fj(8)568 1522 y Fi(~)561 1533 y Fj(B)r(\022M)p Fq(\()708 1522 y Fi(~)701 1533 y Fj(B)h(M)p Fk(-c)n(omp)n(act)f Fj(!)h(A)p Fq(\()1117 1522 y Fi(~)1110 1533 y Fj(B)q Fq(\))f Fk(\014nite)o Fq(\))p Fi(:)-12 1635 y Fd(Lemma.)22 b Fj(A)17 b Fk(is)f Fj(M)p Fk(-c)n(omp)n(act)g(i\013)g(ther)n(e)g(is)g(a)h(monotone)f (functional)g Fd(f)21 b Fk(such)16 b(that)h Fd(f)h Fj(\025)13 b(A)-12 1737 y Fk(Pr)n(o)n(of.)23 b Fq(By)16 b(induction)i(on)f(the)f (t)o(yp)q(e.)24 b Fj(\()-8 b Fq(=.)25 b(Let)874 1726 y Fi(~)867 1737 y Fj(B)16 b(\022)f(M)h Fq(b)q(e)h Fj(M)p Fq(-compact.)23 b(By)16 b(induction)i(h)o(yp)q(othesis)-12 1794 y Fd(x)16 1801 y Fg(i)46 1794 y Fj(\025)f(B)128 1801 y Fg(i)159 1794 y Fq(for)g(some)h(monotone)e Fd(x)587 1801 y Fg(i)601 1794 y Fq(.)27 b(Then)18 b(for)f(ev)o(ery)g Fd(g)g Fj(2)g(A)p Fq(,)h Fd(y)1141 1801 y Fg(i)1171 1794 y Fj(2)f(B)1248 1801 y Fg(i)1262 1794 y Fq(:)24 b Fd(f)5 b Fq(\()1337 1793 y Fi(~)1338 1794 y Fd(x)o Fq(\))17 b Fj(\025)f Fd(f)5 b Fq(\()1489 1793 y Fi(~)1490 1794 y Fd(y)p Fq(\))16 b Fj(\025)h Fd(g)q Fq(\()1648 1793 y Fi(~)1649 1794 y Fd(y)p Fq(\).)26 b(Hence)-12 1850 y Fj(A)p Fq(\()49 1839 y Fi(~)42 1850 y Fj(B)q Fq(\))15 b(is)h(b)q(ounded)h(b)o(y)e Fd(f)5 b Fq(\()439 1849 y Fi(~)440 1850 y Fd(x)o Fq(\),)14 b(i.e.)i(\014nite.)38 1915 y(=)-8 b Fj(\))p Fq(.)21 b(F)l(or)15 b(monotone)f Fd(x)h Fq(de\014ne)627 2017 y Fd(x)p Fj(#)d Fq(:=)g Fj(f)c Fd(y)15 b Fq(monotone)d Fj(j)g Fd(x)h Fj(\025)g Fd(y)7 b Fj(g)p Fq(;)-12 2119 y(b)o(y)15 b(induction)i(h)o(yp)q(othesis)f Fd(x)p Fj(#)e Fq(is)h Fj(M)p Fq(-compact.)k(Hence)d Fj(A)p Fq(\()1044 2118 y Fi(~)1045 2119 y Fd(x)p Fj(#)p Fq(\))e(is)i(\014nite) g(for)e(monotone)1567 2118 y Fi(~)1568 2119 y Fd(x)p Fq(.)20 b(Let)15 b Fd(f)5 b Fq(\()1748 2118 y Fi(~)1749 2119 y Fd(x)o Fq(\))12 b(:=)-12 2176 y(max)7 b Fj(A)p Fq(\()133 2175 y Fi(~)134 2176 y Fd(x)p Fj(#)p Fq(\))14 b(for)h(monotone)496 2175 y Fi(~)497 2176 y Fd(x)f Fq(and)i(arbitrary)e (otherwise.)38 2241 y Fd(f)23 b Fq(is)18 b(monotone:)24 b(Let)440 2240 y Fi(~)441 2241 y Fd(x)p Fi(;)489 2240 y(~)490 2241 y Fd(y)17 b Fq(b)q(e)h(monotone,)824 2240 y Fi(~)825 2241 y Fd(x)e Fj(\025)921 2240 y Fi(~)921 2241 y Fd(y)q Fq(.)27 b(Then)18 b Fd(x)1139 2248 y Fg(i)1153 2241 y Fj(#)f(\023)g Fd(y)1273 2248 y Fg(i)1287 2241 y Fj(#)o Fq(,)h(so)g Fj(A)p Fq(\()1452 2240 y Fi(~)1453 2241 y Fd(x)o Fj(#)p Fq(\))e Fj(\023)i(A)p Fq(\()1643 2240 y Fi(~)1644 2241 y Fd(y)p Fj(#)p Fq(\),)f(hence)-12 2297 y Fd(f)5 b Fq(\()26 2296 y Fi(~)27 2297 y Fd(x)o Fq(\))13 b Fj(\025)g Fd(f)5 b Fq(\()171 2296 y Fi(~)172 2297 y Fd(y)p Fq(\).)38 2362 y Fd(f)18 b Fj(\025)13 b(A)p Fq(:)20 b(Let)15 b Fd(g)f Fj(2)f(A)i Fq(and)491 2361 y Fi(~)492 2362 y Fd(x)g Fq(b)q(e)h(monotone.)j(Then)d Fd(f)5 b Fq(\()981 2361 y Fi(~)982 2362 y Fd(x)o Fq(\))12 b(=)h(max)8 b Fj(A)p Fq(\()1233 2361 y Fi(~)1234 2362 y Fd(x)o Fj(#)p Fq(\))k Fj(\025)h Fd(g)q Fq(\()1406 2361 y Fi(~)1407 2362 y Fd(x)o Fq(\).)p 1821 2362 V 1823 2333 28 2 v 1823 2362 V 1850 2362 2 31 v -12 2513 a Fm(4)67 b(Dialectica)23 b(in)n(terpretation)i(of)d(the)g(extensionalit)n(y)j (axiom)-12 2623 y Fd(Theorem.)d Fk(Assume)16 b Fj(F)k Fk(satis\014es)15 b(the)h(Diale)n(ctic)n(a)g(interpr)n(etation)g(of)h (the)f(extensionality)f(axiom)583 2725 y Fj(8)p Fi(n)p Fq(\()p Fi(\013)p Fq(\()p Fi(n)p Fq(\))e(=)g Fi(\014)r Fq(\()p Fi(n)p Fq(\)\))f Fj(!)h Fi(Y)e Fq(\()p Fi(\013)p Fq(\))h(=)h Fi(Y)d Fq(\()p Fi(\014)r Fq(\))p Fi(:)490 b Fk(\(Ext\))-12 2827 y(Then)16 b Fj(F)k Fk(is)c(not)g(monotone)g (majorizable)910 3042 y Fq(3)p eop %%Page: 4 4 4 3 bop -12 199 a Fk(Pr)n(o)n(of.)23 b Fq(By)15 b(assumption)455 301 y Fi(Y)c Fq(\()p Fi(\013)p Fq(\))h Fj(6)p Fq(=)h Fi(Y)d Fq(\()p Fi(\014)r Fq(\))i Fj(!)i Fi(\013)p Fq(\()p Fj(F)5 b Fq(\()p Fi(Y)s(;)j(\013;)g(\014)r Fq(\)\))h Fj(6)p Fq(=)k Fi(\014)r Fq(\()p Fj(F)5 b Fq(\()p Fi(Y)s(;)j(\013;)g (\014)r Fq(\)\))p Fi(:)405 b Fq(\()p Fj(\003)p Fq(\))-12 403 y(Assume)21 b(for)f(a)g(con)o(tradiction)h(that)f Fj(G)k(\025)e(F)j Fq(for)20 b(some)g(monotone)g Fj(G)s Fq(.)36 b(By)20 b(the)h(c)o(haracterization)g(of)-12 460 y(monotone)d(ma)s(jorizable)h(functionals)g(in)g(the)g(previous)g (section)g(w)o(e)f(kno)o(w)g(that)f Fj(fF)5 b(g)17 b Fq(is)i Fj(M)p Fq(-compact,)-12 516 y(hence)d Fj(F)5 b Fq(\(1)193 500 y Fh(2)212 516 y Fj(#)o Fi(;)j Fq(1)278 500 y Fh(1)297 516 y Fj(#)p Fi(;)g Fq(1)364 500 y Fh(1)383 516 y Fj(#)o Fq(\))15 b(is)h(\014nite,)g(sa)o(y)e Fi(<)f(k)q Fq(.)20 b(De\014ne)446 657 y Fi(X)484 664 y Fg(k)505 657 y Fq(\()p Fi(\013)p Fq(\))12 b(:=)h(sg\()p Fi(\013)p Fq(\()p Fi(k)q Fq(\)\))90 b Fi(\013)929 664 y Fg(k)951 657 y Fq(\()p Fi(n)p Fq(\))12 b(:=)1087 579 y Fc(\()1123 625 y Fq(0)45 b(if)16 b Fi(n)d(<)g(k)1123 693 y Fq(1)45 b(otherwise)q Fi(:)-12 802 y Fq(Clearly)18 b Fi(X)186 809 y Fg(k)223 802 y Fj(2)d Fq(1)291 785 y Fh(2)311 802 y Fj(#)p Fq(,)i Fi(\013)393 809 y Fg(k)430 802 y Fj(2)e Fq(1)498 785 y Fh(1)518 802 y Fj(#)i Fq(and)g Fi(X)686 809 y Fg(k)707 802 y Fq(\()p Fi(\013)754 809 y Fg(k)775 802 y Fq(\))e(=)h(1)f Fj(6)p Fq(=)h(0)g(=)g Fi(X)1076 809 y Fg(k)1097 802 y Fq(\(0)1138 785 y Fh(1)1157 802 y Fq(\),)g(so)h(b)o(y)g(\()p Fj(\003)p Fq(\))f Fi(\013)1431 809 y Fg(k)1452 802 y Fq(\()p Fj(F)5 b Fq(\()p Fi(X)1564 809 y Fg(k)1584 802 y Fi(;)j(\013)1634 809 y Fg(k)1654 802 y Fi(;)g Fq(0)1698 785 y Fh(1)1717 802 y Fq(\)\))15 b Fj(6)p Fq(=)h(0,)-12 858 y(hence)g Fj(F)5 b Fq(\()p Fi(X)208 865 y Fg(k)228 858 y Fi(;)j(\013)278 865 y Fg(k)299 858 y Fi(;)g Fq(0)343 842 y Fh(1)362 858 y Fq(\))k Fj(\025)h Fi(k)q Fq(,)i(a)g(con)o(tradiction.)p 1821 858 2 31 v 1823 829 28 2 v 1823 858 V 1850 858 2 31 v -12 1010 a Fm(5)67 b(Comparison)22 b(with)i(hereditarily)h(ma)t(jorizable)e (functionals)-12 1119 y Fl(Ho)o(w)l(ard)16 b Fq(has)f(in)o(tro)q(duced) h(the)g(hereditarily)g(ma)s(jorizable)g(functionals)g(in)g([2,)e (p.455],)g(as)h(follo)o(ws.)-12 1213 y Fd(De\014nition.)24 b Fk(F)m(or)16 b Fd(f)5 b Fi(;)j Fd(g)13 b Fj(2)g(T)486 1220 y Fg(\032)459 1315 y Fd(f)18 b Fj(\025)528 1322 y Fh(ma)r(j)603 1315 y Fd(g)29 b Fq(:)p Fj(\021)g(8)759 1314 y Fi(~)760 1315 y Fd(x)p Fi(;)808 1314 y(~)809 1315 y Fd(y)p Fq(\()854 1314 y Fi(~)855 1315 y Fd(x)12 b Fj(\025)930 1322 y Fh(ma)r(j)1004 1314 y Fi(~)1004 1315 y Fd(y)h Fj(!)g Fd(f)5 b Fq(\()1141 1314 y Fi(~)1142 1315 y Fd(x)p Fq(\))12 b Fj(\025)1235 1322 y Fg(\023)1262 1315 y Fd(g)q Fq(\()1306 1314 y Fi(~)1307 1315 y Fd(y)p Fq(\)\))p Fi(:)-12 1417 y Fd(f)18 b Fj(\025)57 1424 y Fh(ma)r(j)132 1417 y Fd(g)f Fk(r)n(e)n(ads)f(`)p Fd(f)21 b Fk(her)n(e)n(ditarily)16 b(majorizes)g Fd(g)q Fk('.)21 b Fd(f)g Fk(is)16 b(c)n(al)r(le)n(d)f (her)n(e)n(ditarily)h(majorizable)g(i\013)g Fd(g)e Fj(\025)1686 1424 y Fh(ma)r(j)1761 1417 y Fd(f)21 b Fk(for)-12 1474 y(some)16 b Fd(g)q Fk(.)38 1576 y Fq(Note)c(that)g(b)o(y)h (de\014nition)h(the)f(hereditarily)h(ma)s(jorizable)f(functionals)h (are)e(closed)i(under)f(application.)38 1641 y(W)l(e)18 b(no)o(w)f(sho)o(w)g(b)o(y)h(means)g(of)f(an)h(example)h(that)e(not)g (ev)o(ery)h(monotone)f(ma)s(jorizable)h(functional)h(is)-12 1697 y(hereditarily)e(ma)s(jorizable.)j(De\014ne)231 1835 y Fi(Y)257 1842 y Fh(0)278 1835 y Fq(\()p Fi(\013)p Fq(\))12 b(:=)415 1758 y Fc(\()452 1804 y Fq(greatest)i(0)h(of)g Fi(\013)45 b Fq(if)16 b(it)g(exists)452 1871 y(0)313 b(otherwise)1089 1835 y Fi(Z)1120 1842 y Fh(0)1140 1835 y Fq(\()p Fi(\013)p Fq(\))12 b(:=)1278 1758 y Fc(\()1315 1804 y Fq(0)1338 1787 y Fh(2)1406 1804 y Fq(if)k Fi(\013)f Fq(mon.)1315 1871 y Fi(Y)1341 1878 y Fh(0)1406 1871 y Fq(otherwise)p Fi(:)-12 1974 y Fq(Then)h(the)f(follo)o(wing)h(can)f(b)q (e)h(seen)g(easily)l(.)44 2076 y(1.)22 b Fi(Y)128 2083 y Fh(0)163 2076 y Fq(is)16 b Fk(not)j Fq(monotone)c(ma)s(jorizable.)102 2132 y(\()p Fk(Pr)n(o)n(of)p Fq(.)k Fj(f)p Fi(Y)307 2139 y Fh(0)327 2132 y Fj(g)c Fq(is)h(not)e Fj(M)p Fq(-compact,)g(since)j Fi(Y)893 2139 y Fh(0)913 2132 y Fq(\(1)954 2116 y Fh(1)973 2132 y Fj(#)p Fq(\))12 b Fj(3)h Fi(Y)1095 2139 y Fh(0)1115 2132 y Fq(\()p Fi(\013)1162 2139 y Fg(k)q Fh(+1)1228 2132 y Fq(\))g(=)g Fi(k)q Fq(\).)44 2226 y(2.)22 b Fi(Z)133 2233 y Fh(0)168 2226 y Fq(is)15 b(monotone.)44 2320 y(3.)22 b(The)15 b(monotone)g(ma)s(jorizable)g(functionals)i(are)d Fk(not)20 b Fq(closed)c(under)g(application.)102 2376 y(\()p Fk(Pr)n(o)n(of)p Fq(.)j Fi(Z)289 2383 y Fh(0)309 2376 y Fq(\()p 327 2351 42 2 v(sg\))12 b(=)h Fi(Y)472 2383 y Fh(0)492 2376 y Fq(\).)44 2470 y(4.)22 b Fi(Y)128 2477 y Fh(0)163 2470 y Fq(is)16 b Fk(not)j Fq(hereditarily)e(ma)s (jorizable.)102 2527 y(\()p Fk(Pr)n(o)n(of)p Fq(.)25 b(Let)17 b Fi(Y)27 b Fj(\025)435 2534 y Fh(ma)r(j)513 2527 y Fi(Y)539 2534 y Fh(0)559 2527 y Fq(,)17 b(i.e.)h Fj(8)p Fi(\013)719 2510 y Fe(\003)739 2527 y Fi(;)8 b(\013)p Fq(\()p Fi(\013)836 2510 y Fe(\003)871 2527 y Fj(\025)906 2534 y Fh(ma)r(j)984 2527 y Fi(\013)16 b Fj(!)h Fi(Y)10 b Fq(\()p Fi(\013)1174 2510 y Fe(\003)1194 2527 y Fq(\))15 b Fj(\025)i Fi(Y)1305 2534 y Fh(0)1325 2527 y Fq(\()p Fi(\013)p Fq(\)\).)25 b(1)1469 2510 y Fh(1)1504 2527 y Fj(\025)1539 2534 y Fh(ma)r(j)1617 2527 y Fi(\013)1646 2534 y Fg(k)q Fh(+1)1713 2527 y Fq(,)17 b(hence)102 2583 y Fi(Y)10 b Fq(\(1)179 2567 y Fh(1)198 2583 y Fq(\))j Fj(\025)g Fi(Y)303 2590 y Fh(0)323 2583 y Fq(\()p Fi(\013)370 2590 y Fg(k)q Fh(+1)436 2583 y Fq(\))f(=)h Fi(k)q Fq(.)20 b(Con)o(tradiction\).)44 2677 y(5.)i Fi(Z)133 2684 y Fh(0)168 2677 y Fq(is)15 b Fk(not)20 b Fq(hereditarily)d(ma)s (jorizable.)102 2733 y(\()p Fk(Pr)n(o)n(of)p Fq(.)i Fi(Z)289 2740 y Fh(0)309 2733 y Fq(\()p 327 2708 V(sg\))12 b(=)h Fi(Y)472 2740 y Fh(0)507 2733 y Fq(and)p 596 2708 V 16 w(sg)i(is)h(hereditarily)h(ma)s(jorizable\).)910 3042 y(4)p eop %%Page: 5 5 5 4 bop -12 199 a Fm(6)67 b(Primitiv)n(e)25 b(recursiv)n(e)f (functionals)-12 309 y Fq(The)c(terms)f(of)k Fl(G)318 305 y(\177)316 309 y(odel)p Fq('s)c(system)g Fi(T)26 b Fq(are)19 b(built)i(from)d(t)o(yp)q(ed)i(v)m(ariables)h Fi(x)1334 293 y Fg(\032)1354 309 y Fi(;)8 b(y)1399 293 y Fg(\032)1418 309 y Fi(;)g(:)g(:)g(:)25 b Fq(and)19 b(constan)o(ts)g(0)1840 293 y Fg(\023)-12 365 y Fq(for)j(zero,)j(S)209 349 y Fg(\023)p Fe(!)p Fg(\023)294 365 y Fq(for)d(successor)h(and)g(R) 703 349 y Fg(\032)p Fe(!)p Fh(\()p Fg(\023)p Fe(!)p Fg(\032)p Fe(!)p Fg(\032)p Fh(\))p Fe(!)p Fg(\023)p Fe(!)p Fg(\032)1030 365 y Fq(for)f(the)h(primitiv)o(e)h(recursion)f(op)q(erators)f(b)o(y) -12 422 y Fi(\025)p Fq(-abstraction)g(\()p Fi(\025x)346 405 y Fg(\032)365 422 y Fi(r)387 405 y Fg(\033)410 422 y Fq(\))428 405 y Fg(\032)p Fe(!)p Fg(\033)527 422 y Fq(and)g(application)i(\()p Fi(r)904 405 y Fg(\032)p Fe(!)p Fg(\033)980 422 y Fi(s)1001 405 y Fg(\032)1022 422 y Fq(\))1040 405 y Fg(\033)1063 422 y Fq(.)41 b(It)22 b(is)h(w)o(ell-kno)o(wn)g(that)e(an)o(y)h(reduction)-12 478 y(sequence)17 b(w.r.t.)c Fi(\014)r(\021)r Fq(-con)o(v)o(ersion)i (and)g(the)g(con)o(v)o(ersion)h(rules)780 581 y(R)p Fi(r)q(s)p Fq(0)d Fj(7!)g Fi(r)726 649 y Fq(R)p Fi(r)q(s)p Fq(\(S)p Fi(t)p Fq(\))g Fj(7!)g Fi(st)p Fq(\(R)p Fi(r)q(st)p Fq(\))-12 752 y(terminates)i(with)g(a)g(uniquely)i(determined)f(normal)f(form.)k (F)l(or)14 b(ev)o(ery)h(term)f Fi(r)i Fq(and)f(ev)o(ery)g(en)o (vironmen)o(t)-12 808 y Fi(U)24 b Fq(mapping)c(v)m(ariables)h Fi(x)453 791 y Fg(\032)492 808 y Fq(to)d(functionals)j Fd(x)d Fj(2)i(T)908 815 y Fg(\032)947 808 y Fq(w)o(e)f(clearly)h(ha)o (v)o(e)f(a)f(v)m(alue)j([)-8 b([)p Fi(r)q Fq(])g(])1497 815 y Fg(U)1545 808 y Fq(in)19 b(the)h(full)g(t)o(yp)q(e)-12 864 y(structure)14 b Fj(T)25 b Fq(suc)o(h)14 b(that)f(the)h(v)m(alues)g (are)g(not)f(c)o(hanged)h(under)h(con)o(v)o(ersion.)k(The)14 b(v)m(alues)h(of)e(closed)i(terms)-12 921 y(are)g(called)i Fk(primitive)f(r)n(e)n(cursive)g(functionals)p Fq(.)38 986 y(W)l(e)j(ha)o(v)o(e)g(seen)g(already)h(that)e(an)o(y)h(closed)g (term)g Fi(r)h Fq(of)e(the)h(t)o(yp)q(ed)h Fi(\025)p Fq(-calculus)g(de\014nes)g(a)f(monotone)-12 1042 y(functional)24 b([)-8 b([)p Fi(r)q Fq(])g(].)40 b(This)23 b(clearly)g(do)q(es)g(not)f (hold)h(an)o(y)f(more)g(if)g(w)o(e)g(allo)o(w)h(primitiv)o(e)h (recursion)f(as)e(in)-12 1099 y Fl(G)29 1095 y(\177)27 1099 y(odel)p Fq('s)c Fi(T)6 b Fq(:)23 b(for)16 b(instance)i Fi(r)520 1106 y Fh(0)555 1099 y Fq(:=)d(R1\()p Fi(\025x\025y)r Fq(0\))g(de\014nes)j([)-8 b([)p Fi(r)1042 1106 y Fh(0)1061 1099 y Fq(])g(])15 b(=)p 1145 1074 42 2 v 16 w(sg.)25 b(One)17 b(migh)o(t)g(think)h(that)e(replacing)-12 1155 y(R)g(b)o(y)f(a)g(monotone)f(primitiv)o(e)j(recursion)f(op)q(erators)p 938 1119 34 2 v 14 w(R)g(with)f(con)o(v)o(ersion)h(rules)p 712 1221 V 712 1257 a(R)q Fi(r)q(s)p Fq(0)c Fj(7!)h Fi(r)p 658 1294 V 658 1331 a Fq(R)q Fi(r)q(s)p Fq(\(S)p Fi(t)p Fq(\))f Fj(7!)h Fq(R)p Fi(r)q(s)p Fq(\(S)p Fi(t)p Fq(\))e(+)p 1091 1294 V 10 w(R)q Fi(r)q(st)-12 1433 y Fq(will)17 b(transform)d(an)o(y)h(term)f Fi(r)i Fq(in)o(to)f(a)g(term)p 753 1408 22 2 v 15 w Fi(r)h Fq(whose)f(monotone)f(v)m(alue)j (satis\014es)e([)-8 b([)p 1436 1408 V Fi(r)q Fq(])g(])1476 1440 y Fg(U)1518 1433 y Fj(\025)12 b Fq([)-8 b([)p Fi(r)q Fq(])g(])1623 1440 y Fg(U)1652 1433 y Fq(,)15 b(for)f(ev)o(ery)-12 1489 y(monotone)h(en)o(vironmen)o(t)g Fi(U)5 b Fq(.)20 b(Ho)o(w)o(ev)o(er,)14 b(somewhat)g(surprisingly)j(this)f(do)q(es)f (not)g(hold.)-12 1583 y Fd(Coun)o(terexample.)22 b Fk(L)n(et)16 b Fi(U)22 b Fk(b)n(e)16 b(the)h(envir)n(onment)f(mapping)h(the)g (variable)g Fi(z)i Fk(of)e(typ)n(e)g Fq(\()p Fi(\023)c Fj(!)i Fi(\023)p Fq(\))e Fj(!)h Fq(\()p Fi(\023)g Fj(!)-12 1640 y Fi(\023)p Fq(\))f Fj(!)g Fi(\023)j Fk(to)h(the)f(monotone)g (functional)g Fi(Z)710 1647 y Fh(0)730 1640 y Fk(,)g(and)g(as)g(ab)n (ove)h Fi(r)1051 1647 y Fh(0)1082 1640 y Fq(:=)c(R1\()p Fi(\025x\025y)r Fq(0\))p Fk(.)19 b(Then)d Fq([)-8 b([)p Fi(z)p 1555 1615 41 2 v 2 w(r)1576 1647 y Fh(0)1595 1640 y Fq(])g(])1613 1647 y Fg(U)1654 1640 y Fj(6\025)13 b Fq([)-8 b([)p Fi(z)r(r)1764 1647 y Fh(0)1783 1640 y Fq(])g(])1801 1647 y Fg(U)1831 1640 y Fk(.)-12 1742 y(Pr)n(o)n(of.)23 b Fq([)-8 b([)p Fi(z)p 172 1717 V 2 w(r)193 1749 y Fh(0)212 1742 y Fq(])g(])230 1749 y Fg(U)273 1742 y Fq(=)14 b Fi(Z)353 1749 y Fh(0)373 1742 y Fq(\(1)414 1725 y Fh(1)433 1742 y Fq(\))g(=)h(0)538 1725 y Fh(2)573 1742 y Fq(and)h([)-8 b([)p Fi(z)r(r)724 1749 y Fh(0)743 1742 y Fq(])g(])761 1749 y Fg(U)805 1742 y Fq(=)14 b Fi(Z)885 1749 y Fh(0)905 1742 y Fq(\()p 923 1717 42 2 v(sg\))g(=)g Fi(Y)1071 1749 y Fh(0)1091 1742 y Fq(,)i(but)g(w)o(e)g(cannot)g(ha)o(v)o(e)g(0)1551 1725 y Fh(2)1584 1742 y Fj(\025)f Fi(Y)1660 1749 y Fh(0)1696 1742 y Fq(since)i Fi(Y)1834 1749 y Fh(0)-12 1798 y Fq(is)f(not)f (monotone)f(ma)s(jorizable.)p 1821 1798 2 31 v 1823 1769 28 2 v 1823 1798 V 1850 1798 2 31 v 38 1900 a(In)i(a)g(\014rst)f(draft) g(of)h(this)g(pap)q(er)g(w)o(e)g(conjectured)g(that)f(not)h(ev)o(ery)f (primitiv)o(e)i(recursiv)o(e)g(functional)g(is)-12 1957 y(monotone)e(ma)s(jorizable.)20 b(This)c(w)o(as)e(recen)o(tly)i(pro)o (v)o(ed)f(b)o(y)g Fl(v)l(an)i(de)h(Pol)p Fq(.)-12 2051 y Fd(Theorem.)k Fk(\()7 b Fl(v)l(an)24 b(de)h(Pol)p Fk(\).)40 b(The)22 b(primitive)h(r)n(e)n(cursive)f(functional)g Fi(\025Z)q(:Z)s Fq(\()p 1438 2026 42 2 v(sg)o(\))h Fk(is)f(not)g (monotone)-12 2107 y(majorizable.)-12 2209 y(Pr)n(o)n(of.)h Fq(De\014ne)15 b Fi(F)300 2216 y Fg(k)327 2209 y Fq(:)g(\()p Fi(\023)d Fj(!)h Fi(\023)p Fq(\))g Fj(!)g Fi(\023)i Fq(b)o(y)633 2350 y Fi(F)662 2357 y Fg(k)683 2350 y Fq(\()p Fi(\013)p Fq(\))d(:=)821 2272 y Fc(\()858 2318 y Fq(0)47 b(if)16 b Fi(\013)p Fq(\(1\))c Fj(\025)h Fi(\013)p Fq(\(0\))858 2386 y Fi(k)46 b Fq(otherwise)p Fi(:)-12 2491 y Fq(Then)15 b(for)e(monotone)g Fi(\013;)8 b(\014)16 b Fq(\(with)e Fi(\013)f Fj(\025)g Fi(\014)r Fq(\))g(w)o(e)h(ha)o(v)o(e)f Fi(F)941 2498 y Fg(k)963 2491 y Fq(\()p Fi(\013)p Fq(\))f(=)h(0)g(=)g Fi(F)1201 2498 y Fg(k)1222 2491 y Fq(\()p Fi(\014)r Fq(\),)g(hence)i (eac)o(h)f Fi(F)1567 2498 y Fg(k)1603 2491 y Fq(is)g(monotone.)-12 2547 y(Let)22 b Fj(B)j Fq(:=)e Fj(f)8 b Fi(F)262 2554 y Fg(k)306 2547 y Fj(j)23 b Fi(k)i Fj(2)e Ff(N)8 b Fj(g)p Fq(.)38 b(Then)22 b(for)f(ev)o(ery)g(set)h Fj(C)i Fq(of)d(monotone)g (functions)i(of)e(t)o(yp)q(e)h Fi(\023)h Fj(!)h Fi(\023)e Fq(w)o(e)-12 2604 y(ha)o(v)o(e)17 b Fj(B)q Fq(\()p Fj(C)s Fq(\))d(=)i Fj(f)p Fq(0)p Fj(g)p Fq(,)g(hence)i Fj(B)g Fq(is)f Fj(M)p Fq(-compact.)25 b(But)17 b(\()p Fi(\025Z)q(:Z)s Fq(\()p 1084 2579 V(sg)n(\)\)\()p Fj(B)q Fq(\))e(=)g Ff(N)p Fq(,)h(hence)i Fj(f)8 b Fi(\025Z)q(:Z)s Fq(\()p 1637 2579 V(sg)o(\))g Fj(g)15 b Fq(is)j(not)-12 2660 y Fj(M)p Fq(-compact)d(and)g(therefore)g Fi(\025Z)q(:Z)s Fq(\()p 643 2635 V(sg)o(\))g(is)h(not)f(monotone)f(ma)s(jorizable.)p 1821 2660 2 31 v 1823 2631 28 2 v 1823 2660 V 1850 2660 2 31 v 910 3042 a(5)p eop %%Page: 6 6 6 5 bop 38 199 a Fq(W)l(e)20 b(conclude)h(with)g(a)e(picture)i(sho)o (wing)f(ho)o(w)f(the)h(monotone)f(ma)s(jorizable)h(functionals)h (relate)f(to)-12 256 y(other)15 b(w)o(ell-kno)o(wn)h(classes)g(of)f (functionals.)p 174 572 2 2 v 174 572 V 174 571 V 174 571 V 174 570 V 174 570 V 174 569 V 174 569 V 174 568 V 174 568 V 174 567 V 174 567 V 174 566 V 174 566 V 174 565 V 174 565 V 174 564 V 174 564 V 174 563 V 174 563 V 174 562 V 174 562 V 174 561 V 174 561 V 174 560 V 174 560 V 174 559 V 175 559 V 175 558 V 175 558 V 175 557 V 175 557 V 175 556 V 175 556 V 175 555 V 175 555 V 175 554 V 175 554 V 175 554 V 175 553 V 175 553 V 175 552 V 175 552 V 175 551 V 175 551 V 175 550 V 175 550 V 175 549 V 176 549 V 176 548 V 176 548 V 176 547 V 176 547 V 176 546 V 176 546 V 176 546 V 176 545 V 176 545 V 176 544 V 176 544 V 176 543 V 176 543 V 176 542 V 177 542 V 177 541 V 177 541 V 177 541 V 177 540 V 177 540 V 177 539 V 177 539 V 177 538 V 177 538 V 177 537 V 177 537 V 178 536 V 178 536 V 178 536 V 178 535 V 178 535 V 178 534 V 178 534 V 178 533 V 178 533 V 178 532 V 179 532 V 179 531 V 179 531 V 179 531 V 179 530 V 179 530 V 179 529 V 179 529 V 179 528 V 180 528 V 180 528 V 180 527 V 180 527 V 180 526 V 180 526 V 180 525 V 180 525 V 181 524 V 181 524 V 181 524 V 181 523 V 181 523 V 181 522 V 181 522 V 181 521 V 182 521 V 182 521 V 182 520 V 182 520 V 182 519 V 182 519 V 182 518 V 183 518 V 183 518 V 183 517 V 183 517 V 183 516 V 183 516 V 183 515 V 184 515 V 184 515 V 184 514 V 184 514 V 184 513 V 184 513 V 185 513 V 185 512 V 185 512 V 185 511 V 185 511 V 185 510 V 186 510 V 186 510 V 186 509 V 186 509 V 186 508 V 186 508 V 187 508 V 187 507 V 187 507 V 187 506 V 187 506 V 188 506 V 188 505 V 188 505 V 188 504 V 188 504 V 188 503 V 189 503 V 189 503 V 189 502 V 189 502 V 189 501 V 190 501 V 190 501 V 190 500 V 190 500 V 190 500 V 191 499 V 191 499 V 191 498 V 191 498 V 191 498 V 192 497 V 192 497 V 192 496 V 192 496 V 192 496 V 193 495 V 193 495 V 193 494 V 193 494 V 194 494 V 194 493 V 194 493 V 194 492 V 194 492 V 195 492 V 195 491 V 195 491 V 195 491 V 196 490 V 196 490 V 196 489 V 196 489 V 197 489 V 197 488 V 197 488 V 197 487 V 198 487 V 198 487 V 198 486 V 198 486 V 198 486 V 199 485 V 199 485 V 199 484 V 199 484 V 200 484 V 200 483 V 200 483 V 200 483 V 201 482 V 201 482 V 201 482 V 202 481 V 202 481 V 202 480 V 202 480 V 203 480 V 203 479 V 203 479 V 203 479 V 204 478 V 204 478 V 204 478 V 204 477 V 205 477 V 205 476 V 205 476 V 206 476 V 206 475 V 206 475 V 206 475 V 207 474 V 207 474 V 207 474 V 208 473 V 208 473 V 208 473 V 208 472 V 209 472 V 209 471 V 209 471 V 210 471 V 210 470 V 210 470 V 211 470 V 211 469 V 211 469 V 211 469 V 212 468 V 212 468 V 212 468 V 213 467 V 213 467 V 213 467 V 214 466 V 214 466 V 214 466 V 215 465 V 215 465 V 215 465 V 216 464 V 216 464 V 216 464 V 216 463 V 217 463 V 217 463 V 217 462 V 218 462 V 218 462 V 218 461 V 219 461 V 219 461 V 219 460 V 220 460 V 220 460 V 220 459 V 221 459 V 221 459 V 222 458 V 222 458 V 222 458 V 223 457 V 223 457 V 223 457 V 224 456 V 224 456 V 224 456 V 225 455 V 225 455 V 225 455 V 226 454 V 226 454 V 226 454 V 227 453 V 227 453 V 228 453 V 228 452 V 228 452 V 229 452 V 229 452 V 229 451 V 230 451 V 230 451 V 230 450 V 231 450 V 231 450 V 232 449 V 232 449 V 232 449 V 233 448 V 233 448 V 234 448 V 234 448 V 234 447 V 235 447 V 235 447 V 235 446 V 236 446 V 236 446 V 237 445 V 237 445 V 237 445 V 238 445 V 238 444 V 239 444 V 239 444 V 239 443 V 240 443 V 240 443 V 241 442 V 241 442 V 241 442 V 242 442 V 242 441 V 243 441 V 243 441 V 244 440 V 244 440 V 244 440 V 245 440 V 245 439 V 246 439 V 246 439 V 246 438 V 247 438 V 247 438 V 248 438 V 248 437 V 249 437 V 249 437 V 249 436 V 250 436 V 250 436 V 251 436 V 251 435 V 252 435 V 252 435 V 253 434 V 253 434 V 253 434 V 254 434 V 254 433 V 255 433 V 255 433 V 256 433 V 256 432 V 257 432 V 257 432 V 257 431 V 258 431 V 258 431 V 259 431 V 259 430 V 260 430 V 260 430 V 261 430 V 261 429 V 262 429 V 262 429 V 263 428 V 263 428 V 263 428 V 264 428 V 264 427 V 265 427 V 265 427 V 266 427 V 266 426 V 267 426 V 267 426 V 268 426 V 268 425 V 269 425 V 269 425 V 270 425 V 270 424 V 271 424 V 271 424 V 272 424 V 272 423 V 273 423 V 273 423 V 274 423 V 274 422 V 275 422 V 275 422 V 276 422 V 276 421 V 277 421 V 277 421 V 278 421 V 278 420 V 279 420 V 279 420 V 280 420 V 280 419 V 281 419 V 281 419 V 282 419 V 282 418 V 283 418 V 283 418 V 284 418 V 284 418 V 285 417 V 285 417 V 286 417 V 287 417 V 287 416 V 288 416 V 288 416 V 289 416 V 289 415 V 290 415 V 290 415 V 291 415 V 291 414 V 292 414 V 292 414 V 293 414 V 294 414 V 294 413 V 295 413 V 295 413 V 296 413 V 296 412 V 297 412 V 297 412 V 298 412 V 298 412 V 299 411 V 300 411 V 300 411 V 301 411 V 301 410 V 302 410 V 302 410 V 303 410 V 304 410 V 304 409 V 305 409 V 305 409 V 306 409 V 306 409 V 307 408 V 308 408 V 308 408 V 309 408 V 309 408 V 310 407 V 310 407 V 311 407 V 312 407 V 312 406 V 313 406 V 313 406 V 314 406 V 315 406 V 315 405 V 316 405 V 316 405 V 317 405 V 318 405 V 318 404 V 319 404 V 319 404 V 320 404 V 321 404 V 321 403 V 322 403 V 322 403 V 323 403 V 324 403 V 324 403 V 325 402 V 325 402 V 326 402 V 327 402 V 327 402 V 328 401 V 328 401 V 329 401 V 330 401 V 330 401 V 331 400 V 332 400 V 332 400 V 333 400 V 333 400 V 334 400 V 335 399 V 335 399 V 336 399 V 337 399 V 337 399 V 338 398 V 339 398 V 339 398 V 340 398 V 340 398 V 341 398 V 342 397 V 342 397 V 343 397 V 344 397 V 344 397 V 345 397 V 346 396 V 346 396 V 347 396 V 348 396 V 348 396 V 349 395 V 350 395 V 350 395 V 351 395 V 352 395 V 352 395 V 353 394 V 354 394 V 354 394 V 355 394 V 356 394 V 356 394 V 357 393 V 358 393 V 358 393 V 359 393 V 360 393 V 360 393 V 361 393 V 362 392 V 362 392 V 363 392 V 364 392 V 364 392 V 365 392 V 366 391 V 367 391 V 367 391 V 368 391 V 369 391 V 369 391 V 370 391 V 371 390 V 371 390 V 372 390 V 373 390 V 374 390 V 374 390 V 375 390 V 376 389 V 376 389 V 377 389 V 378 389 V 378 389 V 379 389 V 380 389 V 381 388 V 381 388 V 382 388 V 383 388 V 384 388 V 384 388 V 385 388 V 386 387 V 386 387 V 387 387 V 388 387 V 389 387 V 389 387 V 390 387 V 391 387 V 392 386 V 392 386 V 393 386 V 394 386 V 394 386 V 395 386 V 396 386 V 397 385 V 397 385 V 398 385 V 399 385 V 400 385 V 400 385 V 401 385 V 402 385 V 403 385 V 403 384 V 404 384 V 405 384 V 406 384 V 407 384 V 407 384 V 408 384 V 409 384 V 410 383 V 410 383 V 411 383 V 412 383 V 413 383 V 413 383 V 414 383 V 415 383 V 416 383 V 416 382 V 417 382 V 418 382 V 419 382 V 420 382 V 420 382 V 421 382 V 422 382 V 423 382 V 424 381 V 424 381 V 425 381 V 426 381 V 427 381 V 427 381 V 428 381 V 429 381 V 430 381 V 431 381 V 431 380 V 432 380 V 433 380 V 434 380 V 435 380 V 435 380 V 436 380 V 437 380 V 438 380 V 439 380 V 440 380 V 440 379 V 441 379 V 442 379 V 443 379 V 444 379 V 444 379 V 445 379 V 446 379 V 447 379 V 448 379 V 449 379 V 449 378 V 450 378 V 451 378 V 452 378 V 453 378 V 454 378 V 454 378 V 455 378 V 456 378 V 457 378 V 458 378 V 459 378 V 459 378 V 460 377 V 461 377 V 462 377 V 463 377 V 464 377 V 464 377 V 465 377 V 466 377 V 467 377 V 468 377 V 469 377 V 470 377 V 470 377 V 471 377 V 472 376 V 473 376 V 474 376 V 475 376 V 476 376 V 477 376 V 477 376 V 478 376 V 479 376 V 480 376 V 481 376 V 482 376 V 483 376 V 484 376 V 484 376 V 485 375 V 486 375 V 487 375 V 488 375 V 489 375 V 490 375 V 491 375 V 491 375 V 492 375 V 493 375 V 494 375 V 495 375 V 496 375 V 497 375 V 498 375 V 499 375 V 500 375 V 500 375 V 501 375 V 502 375 V 503 374 V 504 374 V 505 374 V 506 374 V 507 374 V 508 374 V 509 374 V 510 374 V 510 374 V 511 374 V 512 374 V 513 374 V 514 374 V 515 374 V 516 374 V 517 374 V 518 374 V 519 374 V 520 374 V 521 374 V 522 374 V 522 374 V 523 374 V 524 374 V 525 374 V 526 373 V 527 373 V 528 373 V 529 373 V 530 373 V 531 373 V 532 373 V 533 373 V 534 373 V 535 373 V 536 373 V 537 373 V 537 373 V 538 373 V 539 373 V 540 373 V 541 373 V 542 373 V 543 373 V 544 373 V 545 373 V 546 373 V 547 373 V 548 373 V 549 373 V 550 373 V 551 373 V 552 373 V 553 373 V 554 373 V 555 373 V 556 373 V 557 373 V 558 373 V 559 373 V 560 373 V 561 373 V 562 373 V 563 373 V 564 373 V 565 373 V 566 373 V 567 373 V 568 373 V 569 373 V 570 373 V 571 373 V 572 373 V 573 373 V 971 572 V 971 572 V 971 571 V 971 571 V 971 570 V 971 570 V 971 569 V 971 569 V 971 568 V 971 568 V 971 567 V 971 567 V 971 566 V 971 566 V 971 565 V 971 565 V 971 564 V 971 564 V 971 563 V 971 563 V 971 562 V 971 562 V 971 561 V 971 561 V 971 560 V 971 560 V 971 559 V 971 559 V 971 558 V 971 558 V 971 557 V 970 557 V 970 556 V 970 556 V 970 555 V 970 555 V 970 554 V 970 554 V 970 554 V 970 553 V 970 553 V 970 552 V 970 552 V 970 551 V 970 551 V 970 550 V 970 550 V 970 549 V 970 549 V 970 548 V 970 548 V 969 547 V 969 547 V 969 546 V 969 546 V 969 546 V 969 545 V 969 545 V 969 544 V 969 544 V 969 543 V 969 543 V 969 542 V 969 542 V 969 541 V 968 541 V 968 541 V 968 540 V 968 540 V 968 539 V 968 539 V 968 538 V 968 538 V 968 537 V 968 537 V 968 536 V 967 536 V 967 536 V 967 535 V 967 535 V 967 534 V 967 534 V 967 533 V 967 533 V 967 532 V 967 532 V 966 531 V 966 531 V 966 531 V 966 530 V 966 530 V 966 529 V 966 529 V 966 528 V 966 528 V 965 528 V 965 527 V 965 527 V 965 526 V 965 526 V 965 525 V 965 525 V 965 524 V 964 524 V 964 524 V 964 523 V 964 523 V 964 522 V 964 522 V 964 521 V 964 521 V 963 521 V 963 520 V 963 520 V 963 519 V 963 519 V 963 518 V 963 518 V 962 518 V 962 517 V 962 517 V 962 516 V 962 516 V 962 515 V 962 515 V 961 515 V 961 514 V 961 514 V 961 513 V 961 513 V 961 513 V 960 512 V 960 512 V 960 511 V 960 511 V 960 510 V 960 510 V 959 510 V 959 509 V 959 509 V 959 508 V 959 508 V 959 508 V 958 507 V 958 507 V 958 506 V 958 506 V 958 506 V 957 505 V 957 505 V 957 504 V 957 504 V 957 503 V 957 503 V 956 503 V 956 502 V 956 502 V 956 501 V 956 501 V 955 501 V 955 500 V 955 500 V 955 500 V 955 499 V 954 499 V 954 498 V 954 498 V 954 498 V 954 497 V 953 497 V 953 496 V 953 496 V 953 496 V 952 495 V 952 495 V 952 494 V 952 494 V 952 494 V 951 493 V 951 493 V 951 492 V 951 492 V 950 492 V 950 491 V 950 491 V 950 491 V 950 490 V 949 490 V 949 489 V 949 489 V 949 489 V 948 488 V 948 488 V 948 487 V 948 487 V 947 487 V 947 486 V 947 486 V 947 486 V 946 485 V 946 485 V 946 484 V 946 484 V 945 484 V 945 483 V 945 483 V 945 483 V 944 482 V 944 482 V 944 482 V 944 481 V 943 481 V 943 480 V 943 480 V 943 480 V 942 479 V 942 479 V 942 479 V 941 478 V 941 478 V 941 478 V 941 477 V 940 477 V 940 476 V 940 476 V 940 476 V 939 475 V 939 475 V 939 475 V 938 474 V 938 474 V 938 474 V 938 473 V 937 473 V 937 473 V 937 472 V 936 472 V 936 471 V 936 471 V 936 471 V 935 470 V 935 470 V 935 470 V 934 469 V 934 469 V 934 469 V 933 468 V 933 468 V 933 468 V 932 467 V 932 467 V 932 467 V 932 466 V 931 466 V 931 466 V 931 465 V 930 465 V 930 465 V 930 464 V 929 464 V 929 464 V 929 463 V 928 463 V 928 463 V 928 462 V 927 462 V 927 462 V 927 461 V 926 461 V 926 461 V 926 460 V 925 460 V 925 460 V 925 459 V 924 459 V 924 459 V 924 458 V 923 458 V 923 458 V 923 457 V 922 457 V 922 457 V 922 456 V 921 456 V 921 456 V 921 455 V 920 455 V 920 455 V 919 454 V 919 454 V 919 454 V 918 453 V 918 453 V 918 453 V 917 452 V 917 452 V 917 452 V 916 452 V 916 451 V 915 451 V 915 451 V 915 450 V 914 450 V 914 450 V 914 449 V 913 449 V 913 449 V 912 448 V 912 448 V 912 448 V 911 448 V 911 447 V 910 447 V 910 447 V 910 446 V 909 446 V 909 446 V 909 445 V 908 445 V 908 445 V 907 445 V 907 444 V 907 444 V 906 444 V 906 443 V 905 443 V 905 443 V 905 442 V 904 442 V 904 442 V 903 442 V 903 441 V 902 441 V 902 441 V 902 440 V 901 440 V 901 440 V 900 440 V 900 439 V 900 439 V 899 439 V 899 438 V 898 438 V 898 438 V 897 438 V 897 437 V 897 437 V 896 437 V 896 436 V 895 436 V 895 436 V 894 436 V 894 435 V 894 435 V 893 435 V 893 434 V 892 434 V 892 434 V 891 434 V 891 433 V 890 433 V 890 433 V 889 433 V 889 432 V 889 432 V 888 432 V 888 431 V 887 431 V 887 431 V 886 431 V 886 430 V 885 430 V 885 430 V 884 430 V 884 429 V 884 429 V 883 429 V 883 428 V 882 428 V 882 428 V 881 428 V 881 427 V 880 427 V 880 427 V 879 427 V 879 426 V 878 426 V 878 426 V 877 426 V 877 425 V 876 425 V 876 425 V 875 425 V 875 424 V 874 424 V 874 424 V 873 424 V 873 423 V 872 423 V 872 423 V 871 423 V 871 422 V 870 422 V 870 422 V 869 422 V 869 421 V 868 421 V 868 421 V 867 421 V 867 420 V 866 420 V 866 420 V 865 420 V 865 419 V 864 419 V 864 419 V 863 419 V 863 418 V 862 418 V 862 418 V 861 418 V 861 418 V 860 417 V 860 417 V 859 417 V 859 417 V 858 416 V 858 416 V 857 416 V 856 416 V 856 415 V 855 415 V 855 415 V 854 415 V 854 414 V 853 414 V 853 414 V 852 414 V 852 414 V 851 413 V 851 413 V 850 413 V 849 413 V 849 412 V 848 412 V 848 412 V 847 412 V 847 412 V 846 411 V 846 411 V 845 411 V 844 411 V 844 410 V 843 410 V 843 410 V 842 410 V 842 410 V 841 409 V 840 409 V 840 409 V 839 409 V 839 409 V 838 408 V 838 408 V 837 408 V 836 408 V 836 408 V 835 407 V 835 407 V 834 407 V 834 407 V 833 406 V 832 406 V 832 406 V 831 406 V 831 406 V 830 405 V 829 405 V 829 405 V 828 405 V 828 405 V 827 404 V 826 404 V 826 404 V 825 404 V 825 404 V 824 403 V 823 403 V 823 403 V 822 403 V 822 403 V 821 403 V 820 402 V 820 402 V 819 402 V 819 402 V 818 402 V 817 401 V 817 401 V 816 401 V 815 401 V 815 401 V 814 400 V 814 400 V 813 400 V 812 400 V 812 400 V 811 400 V 810 399 V 810 399 V 809 399 V 808 399 V 808 399 V 807 398 V 807 398 V 806 398 V 805 398 V 805 398 V 804 398 V 803 397 V 803 397 V 802 397 V 801 397 V 801 397 V 800 397 V 799 396 V 799 396 V 798 396 V 797 396 V 797 396 V 796 395 V 796 395 V 795 395 V 794 395 V 794 395 V 793 395 V 792 394 V 792 394 V 791 394 V 790 394 V 790 394 V 789 394 V 788 393 V 788 393 V 787 393 V 786 393 V 785 393 V 785 393 V 784 393 V 783 392 V 783 392 V 782 392 V 781 392 V 781 392 V 780 392 V 779 391 V 779 391 V 778 391 V 777 391 V 777 391 V 776 391 V 775 391 V 774 390 V 774 390 V 773 390 V 772 390 V 772 390 V 771 390 V 770 390 V 769 389 V 769 389 V 768 389 V 767 389 V 767 389 V 766 389 V 765 389 V 764 388 V 764 388 V 763 388 V 762 388 V 762 388 V 761 388 V 760 388 V 759 387 V 759 387 V 758 387 V 757 387 V 757 387 V 756 387 V 755 387 V 754 387 V 754 386 V 753 386 V 752 386 V 751 386 V 751 386 V 750 386 V 749 386 V 748 385 V 748 385 V 747 385 V 746 385 V 745 385 V 745 385 V 744 385 V 743 385 V 742 385 V 742 384 V 741 384 V 740 384 V 739 384 V 739 384 V 738 384 V 737 384 V 736 384 V 736 383 V 735 383 V 734 383 V 733 383 V 733 383 V 732 383 V 731 383 V 730 383 V 729 383 V 729 382 V 728 382 V 727 382 V 726 382 V 726 382 V 725 382 V 724 382 V 723 382 V 722 382 V 722 381 V 721 381 V 720 381 V 719 381 V 718 381 V 718 381 V 717 381 V 716 381 V 715 381 V 714 381 V 714 380 V 713 380 V 712 380 V 711 380 V 710 380 V 710 380 V 709 380 V 708 380 V 707 380 V 706 380 V 706 380 V 705 379 V 704 379 V 703 379 V 702 379 V 701 379 V 701 379 V 700 379 V 699 379 V 698 379 V 697 379 V 697 379 V 696 378 V 695 378 V 694 378 V 693 378 V 692 378 V 692 378 V 691 378 V 690 378 V 689 378 V 688 378 V 687 378 V 687 378 V 686 378 V 685 377 V 684 377 V 683 377 V 682 377 V 681 377 V 681 377 V 680 377 V 679 377 V 678 377 V 677 377 V 676 377 V 676 377 V 675 377 V 674 377 V 673 376 V 672 376 V 671 376 V 670 376 V 669 376 V 669 376 V 668 376 V 667 376 V 666 376 V 665 376 V 664 376 V 663 376 V 662 376 V 662 376 V 661 376 V 660 375 V 659 375 V 658 375 V 657 375 V 656 375 V 655 375 V 655 375 V 654 375 V 653 375 V 652 375 V 651 375 V 650 375 V 649 375 V 648 375 V 647 375 V 647 375 V 646 375 V 645 375 V 644 375 V 643 375 V 642 374 V 641 374 V 640 374 V 639 374 V 638 374 V 637 374 V 637 374 V 636 374 V 635 374 V 634 374 V 633 374 V 632 374 V 631 374 V 630 374 V 629 374 V 628 374 V 627 374 V 626 374 V 626 374 V 625 374 V 624 374 V 623 374 V 622 374 V 621 374 V 620 374 V 619 373 V 618 373 V 617 373 V 616 373 V 615 373 V 614 373 V 613 373 V 612 373 V 611 373 V 611 373 V 610 373 V 609 373 V 608 373 V 607 373 V 606 373 V 605 373 V 604 373 V 603 373 V 602 373 V 601 373 V 600 373 V 599 373 V 598 373 V 597 373 V 596 373 V 595 373 V 594 373 V 593 373 V 592 373 V 591 373 V 590 373 V 589 373 V 588 373 V 587 373 V 586 373 V 585 373 V 584 373 V 584 373 V 583 373 V 582 373 V 581 373 V 580 373 V 579 373 V 578 373 V 577 373 V 576 373 V 575 373 V 574 373 V 573 373 V 971 572 V 971 573 V 971 573 V 971 574 V 971 574 V 971 575 V 971 575 V 971 575 V 971 576 V 971 576 V 971 577 V 971 577 V 971 578 V 971 578 V 971 579 V 971 579 V 971 580 V 971 580 V 971 581 V 971 581 V 971 582 V 971 582 V 971 583 V 971 583 V 971 584 V 971 584 V 971 585 V 971 585 V 971 586 V 971 586 V 971 587 V 970 587 V 970 588 V 970 588 V 970 589 V 970 589 V 970 590 V 970 590 V 970 590 V 970 591 V 970 591 V 970 592 V 970 592 V 970 593 V 970 593 V 970 594 V 970 594 V 970 595 V 970 595 V 970 596 V 970 596 V 969 597 V 969 597 V 969 598 V 969 598 V 969 598 V 969 599 V 969 599 V 969 600 V 969 600 V 969 601 V 969 601 V 969 602 V 969 602 V 969 603 V 968 603 V 968 604 V 968 604 V 968 604 V 968 605 V 968 605 V 968 606 V 968 606 V 968 607 V 968 607 V 968 608 V 967 608 V 967 609 V 967 609 V 967 609 V 967 610 V 967 610 V 967 611 V 967 611 V 967 612 V 967 612 V 966 613 V 966 613 V 966 613 V 966 614 V 966 614 V 966 615 V 966 615 V 966 616 V 966 616 V 965 617 V 965 617 V 965 617 V 965 618 V 965 618 V 965 619 V 965 619 V 965 620 V 964 620 V 964 620 V 964 621 V 964 621 V 964 622 V 964 622 V 964 623 V 964 623 V 963 623 V 963 624 V 963 624 V 963 625 V 963 625 V 963 626 V 963 626 V 962 626 V 962 627 V 962 627 V 962 628 V 962 628 V 962 629 V 962 629 V 961 629 V 961 630 V 961 630 V 961 631 V 961 631 V 961 632 V 960 632 V 960 632 V 960 633 V 960 633 V 960 634 V 960 634 V 959 634 V 959 635 V 959 635 V 959 636 V 959 636 V 959 636 V 958 637 V 958 637 V 958 638 V 958 638 V 958 639 V 957 639 V 957 639 V 957 640 V 957 640 V 957 641 V 957 641 V 956 641 V 956 642 V 956 642 V 956 643 V 956 643 V 955 643 V 955 644 V 955 644 V 955 645 V 955 645 V 954 645 V 954 646 V 954 646 V 954 647 V 954 647 V 953 647 V 953 648 V 953 648 V 953 648 V 952 649 V 952 649 V 952 650 V 952 650 V 952 650 V 951 651 V 951 651 V 951 652 V 951 652 V 950 652 V 950 653 V 950 653 V 950 654 V 950 654 V 949 654 V 949 655 V 949 655 V 949 655 V 948 656 V 948 656 V 948 657 V 948 657 V 947 657 V 947 658 V 947 658 V 947 658 V 946 659 V 946 659 V 946 660 V 946 660 V 945 660 V 945 661 V 945 661 V 945 661 V 944 662 V 944 662 V 944 663 V 944 663 V 943 663 V 943 664 V 943 664 V 943 664 V 942 665 V 942 665 V 942 665 V 941 666 V 941 666 V 941 667 V 941 667 V 940 667 V 940 668 V 940 668 V 940 668 V 939 669 V 939 669 V 939 669 V 938 670 V 938 670 V 938 670 V 938 671 V 937 671 V 937 672 V 937 672 V 936 672 V 936 673 V 936 673 V 936 673 V 935 674 V 935 674 V 935 674 V 934 675 V 934 675 V 934 675 V 933 676 V 933 676 V 933 676 V 932 677 V 932 677 V 932 677 V 932 678 V 931 678 V 931 678 V 931 679 V 930 679 V 930 679 V 930 680 V 929 680 V 929 680 V 929 681 V 928 681 V 928 681 V 928 682 V 927 682 V 927 682 V 927 683 V 926 683 V 926 683 V 926 684 V 925 684 V 925 684 V 925 685 V 924 685 V 924 685 V 924 686 V 923 686 V 923 686 V 923 687 V 922 687 V 922 687 V 922 688 V 921 688 V 921 688 V 921 689 V 920 689 V 920 689 V 919 690 V 919 690 V 919 690 V 918 691 V 918 691 V 918 691 V 917 692 V 917 692 V 917 692 V 916 692 V 916 693 V 915 693 V 915 693 V 915 694 V 914 694 V 914 694 V 914 695 V 913 695 V 913 695 V 912 696 V 912 696 V 912 696 V 911 697 V 911 697 V 910 697 V 910 697 V 910 698 V 909 698 V 909 698 V 909 699 V 908 699 V 908 699 V 907 700 V 907 700 V 907 700 V 906 700 V 906 701 V 905 701 V 905 701 V 905 702 V 904 702 V 904 702 V 903 702 V 903 703 V 902 703 V 902 703 V 902 704 V 901 704 V 901 704 V 900 705 V 900 705 V 900 705 V 899 705 V 899 706 V 898 706 V 898 706 V 897 707 V 897 707 V 897 707 V 896 707 V 896 708 V 895 708 V 895 708 V 894 709 V 894 709 V 894 709 V 893 709 V 893 710 V 892 710 V 892 710 V 891 710 V 891 711 V 890 711 V 890 711 V 889 712 V 889 712 V 889 712 V 888 712 V 888 713 V 887 713 V 887 713 V 886 713 V 886 714 V 885 714 V 885 714 V 884 714 V 884 715 V 884 715 V 883 715 V 883 716 V 882 716 V 882 716 V 881 716 V 881 717 V 880 717 V 880 717 V 879 717 V 879 718 V 878 718 V 878 718 V 877 718 V 877 719 V 876 719 V 876 719 V 875 719 V 875 720 V 874 720 V 874 720 V 873 720 V 873 721 V 872 721 V 872 721 V 871 721 V 871 722 V 870 722 V 870 722 V 869 722 V 869 723 V 868 723 V 868 723 V 867 723 V 867 724 V 866 724 V 866 724 V 865 724 V 865 725 V 864 725 V 864 725 V 863 725 V 863 726 V 862 726 V 862 726 V 861 726 V 861 727 V 860 727 V 860 727 V 859 727 V 859 727 V 858 728 V 858 728 V 857 728 V 856 728 V 856 729 V 855 729 V 855 729 V 854 729 V 854 730 V 853 730 V 853 730 V 852 730 V 852 730 V 851 731 V 851 731 V 850 731 V 849 731 V 849 732 V 848 732 V 848 732 V 847 732 V 847 732 V 846 733 V 846 733 V 845 733 V 844 733 V 844 734 V 843 734 V 843 734 V 842 734 V 842 734 V 841 735 V 840 735 V 840 735 V 839 735 V 839 735 V 838 736 V 838 736 V 837 736 V 836 736 V 836 737 V 835 737 V 835 737 V 834 737 V 834 737 V 833 738 V 832 738 V 832 738 V 831 738 V 831 738 V 830 739 V 829 739 V 829 739 V 828 739 V 828 739 V 827 740 V 826 740 V 826 740 V 825 740 V 825 740 V 824 741 V 823 741 V 823 741 V 822 741 V 822 741 V 821 742 V 820 742 V 820 742 V 819 742 V 819 742 V 818 742 V 817 743 V 817 743 V 816 743 V 815 743 V 815 743 V 814 744 V 814 744 V 813 744 V 812 744 V 812 744 V 811 745 V 810 745 V 810 745 V 809 745 V 808 745 V 808 745 V 807 746 V 807 746 V 806 746 V 805 746 V 805 746 V 804 747 V 803 747 V 803 747 V 802 747 V 801 747 V 801 747 V 800 748 V 799 748 V 799 748 V 798 748 V 797 748 V 797 748 V 796 749 V 796 749 V 795 749 V 794 749 V 794 749 V 793 749 V 792 750 V 792 750 V 791 750 V 790 750 V 790 750 V 789 750 V 788 751 V 788 751 V 787 751 V 786 751 V 785 751 V 785 751 V 784 751 V 783 752 V 783 752 V 782 752 V 781 752 V 781 752 V 780 752 V 779 753 V 779 753 V 778 753 V 777 753 V 777 753 V 776 753 V 775 753 V 774 754 V 774 754 V 773 754 V 772 754 V 772 754 V 771 754 V 770 754 V 769 755 V 769 755 V 768 755 V 767 755 V 767 755 V 766 755 V 765 756 V 764 756 V 764 756 V 763 756 V 762 756 V 762 756 V 761 756 V 760 756 V 759 757 V 759 757 V 758 757 V 757 757 V 757 757 V 756 757 V 755 757 V 754 758 V 754 758 V 753 758 V 752 758 V 751 758 V 751 758 V 750 758 V 749 758 V 748 759 V 748 759 V 747 759 V 746 759 V 745 759 V 745 759 V 744 759 V 743 759 V 742 760 V 742 760 V 741 760 V 740 760 V 739 760 V 739 760 V 738 760 V 737 760 V 736 760 V 736 761 V 735 761 V 734 761 V 733 761 V 733 761 V 732 761 V 731 761 V 730 761 V 729 762 V 729 762 V 728 762 V 727 762 V 726 762 V 726 762 V 725 762 V 724 762 V 723 762 V 722 762 V 722 763 V 721 763 V 720 763 V 719 763 V 718 763 V 718 763 V 717 763 V 716 763 V 715 763 V 714 763 V 714 763 V 713 763 V 712 763 V 711 763 V 710 764 V 710 764 V 709 764 V 708 764 V 707 764 V 706 764 V 706 764 V 705 764 V 704 764 V 703 764 V 702 764 V 701 765 V 701 765 V 700 765 V 699 765 V 698 765 V 697 765 V 697 765 V 696 765 V 695 765 V 694 765 V 693 765 V 692 765 V 692 766 V 691 766 V 690 766 V 689 766 V 688 766 V 687 766 V 687 766 V 686 766 V 685 766 V 684 766 V 683 766 V 682 766 V 681 766 V 681 767 V 680 767 V 679 767 V 678 767 V 677 767 V 676 767 V 676 767 V 675 767 V 674 767 V 673 767 V 672 767 V 671 767 V 670 767 V 669 767 V 669 768 V 668 768 V 667 768 V 666 768 V 665 768 V 664 768 V 663 768 V 662 768 V 662 768 V 661 768 V 660 768 V 659 768 V 658 768 V 657 768 V 656 768 V 655 768 V 655 768 V 654 768 V 653 769 V 652 769 V 651 769 V 650 769 V 649 769 V 648 769 V 647 769 V 647 769 V 646 769 V 645 769 V 644 769 V 643 769 V 642 769 V 641 769 V 640 769 V 639 769 V 638 769 V 637 769 V 637 769 V 636 769 V 635 769 V 634 770 V 633 770 V 632 770 V 631 770 V 630 770 V 629 770 V 628 770 V 627 770 V 626 770 V 626 770 V 625 770 V 624 770 V 623 770 V 622 770 V 621 770 V 620 770 V 619 770 V 618 770 V 617 770 V 616 770 V 615 770 V 614 770 V 613 770 V 612 770 V 611 770 V 611 770 V 610 770 V 609 770 V 608 770 V 607 770 V 606 770 V 605 770 V 604 770 V 603 771 V 602 771 V 601 771 V 600 771 V 599 771 V 598 771 V 597 771 V 596 771 V 595 771 V 594 771 V 593 771 V 592 771 V 591 771 V 590 771 V 589 771 V 588 771 V 587 771 V 586 771 V 585 771 V 584 771 V 584 771 V 583 771 V 582 771 V 581 771 V 580 771 V 579 771 V 578 771 V 577 771 V 576 771 V 575 771 V 574 771 V 573 771 V 174 572 V 174 573 V 174 573 V 174 574 V 174 574 V 174 575 V 174 575 V 174 575 V 174 576 V 174 576 V 174 577 V 174 577 V 174 578 V 174 578 V 174 579 V 174 579 V 174 580 V 174 580 V 174 581 V 174 581 V 174 582 V 174 582 V 174 583 V 174 583 V 174 584 V 174 584 V 174 585 V 175 585 V 175 586 V 175 586 V 175 587 V 175 587 V 175 588 V 175 588 V 175 589 V 175 589 V 175 590 V 175 590 V 175 590 V 175 591 V 175 591 V 175 592 V 175 592 V 175 593 V 175 593 V 175 594 V 175 594 V 175 595 V 176 595 V 176 596 V 176 596 V 176 597 V 176 597 V 176 598 V 176 598 V 176 598 V 176 599 V 176 599 V 176 600 V 176 600 V 176 601 V 176 601 V 176 602 V 177 602 V 177 603 V 177 603 V 177 604 V 177 604 V 177 604 V 177 605 V 177 605 V 177 606 V 177 606 V 177 607 V 177 607 V 178 608 V 178 608 V 178 609 V 178 609 V 178 609 V 178 610 V 178 610 V 178 611 V 178 611 V 178 612 V 179 612 V 179 613 V 179 613 V 179 613 V 179 614 V 179 614 V 179 615 V 179 615 V 179 616 V 180 616 V 180 617 V 180 617 V 180 617 V 180 618 V 180 618 V 180 619 V 180 619 V 181 620 V 181 620 V 181 620 V 181 621 V 181 621 V 181 622 V 181 622 V 181 623 V 182 623 V 182 623 V 182 624 V 182 624 V 182 625 V 182 625 V 182 626 V 183 626 V 183 626 V 183 627 V 183 627 V 183 628 V 183 628 V 183 629 V 184 629 V 184 629 V 184 630 V 184 630 V 184 631 V 184 631 V 185 632 V 185 632 V 185 632 V 185 633 V 185 633 V 185 634 V 186 634 V 186 634 V 186 635 V 186 635 V 186 636 V 186 636 V 187 636 V 187 637 V 187 637 V 187 638 V 187 638 V 188 639 V 188 639 V 188 639 V 188 640 V 188 640 V 188 641 V 189 641 V 189 641 V 189 642 V 189 642 V 189 643 V 190 643 V 190 643 V 190 644 V 190 644 V 190 645 V 191 645 V 191 645 V 191 646 V 191 646 V 191 647 V 192 647 V 192 647 V 192 648 V 192 648 V 192 648 V 193 649 V 193 649 V 193 650 V 193 650 V 194 650 V 194 651 V 194 651 V 194 652 V 194 652 V 195 652 V 195 653 V 195 653 V 195 654 V 196 654 V 196 654 V 196 655 V 196 655 V 197 655 V 197 656 V 197 656 V 197 657 V 198 657 V 198 657 V 198 658 V 198 658 V 198 658 V 199 659 V 199 659 V 199 660 V 199 660 V 200 660 V 200 661 V 200 661 V 200 661 V 201 662 V 201 662 V 201 663 V 202 663 V 202 663 V 202 664 V 202 664 V 203 664 V 203 665 V 203 665 V 203 665 V 204 666 V 204 666 V 204 667 V 204 667 V 205 667 V 205 668 V 205 668 V 206 668 V 206 669 V 206 669 V 206 669 V 207 670 V 207 670 V 207 670 V 208 671 V 208 671 V 208 672 V 208 672 V 209 672 V 209 673 V 209 673 V 210 673 V 210 674 V 210 674 V 211 674 V 211 675 V 211 675 V 211 675 V 212 676 V 212 676 V 212 676 V 213 677 V 213 677 V 213 677 V 214 678 V 214 678 V 214 678 V 215 679 V 215 679 V 215 679 V 216 680 V 216 680 V 216 680 V 216 681 V 217 681 V 217 681 V 217 682 V 218 682 V 218 682 V 218 683 V 219 683 V 219 683 V 219 684 V 220 684 V 220 684 V 220 685 V 221 685 V 221 685 V 222 686 V 222 686 V 222 686 V 223 687 V 223 687 V 223 687 V 224 688 V 224 688 V 224 688 V 225 689 V 225 689 V 225 689 V 226 690 V 226 690 V 226 690 V 227 691 V 227 691 V 228 691 V 228 692 V 228 692 V 229 692 V 229 692 V 229 693 V 230 693 V 230 693 V 230 694 V 231 694 V 231 694 V 232 695 V 232 695 V 232 695 V 233 696 V 233 696 V 234 696 V 234 697 V 234 697 V 235 697 V 235 697 V 235 698 V 236 698 V 236 698 V 237 699 V 237 699 V 237 699 V 238 700 V 238 700 V 239 700 V 239 700 V 239 701 V 240 701 V 240 701 V 241 702 V 241 702 V 241 702 V 242 702 V 242 703 V 243 703 V 243 703 V 244 704 V 244 704 V 244 704 V 245 705 V 245 705 V 246 705 V 246 705 V 246 706 V 247 706 V 247 706 V 248 707 V 248 707 V 249 707 V 249 707 V 249 708 V 250 708 V 250 708 V 251 709 V 251 709 V 252 709 V 252 709 V 253 710 V 253 710 V 253 710 V 254 710 V 254 711 V 255 711 V 255 711 V 256 712 V 256 712 V 257 712 V 257 712 V 257 713 V 258 713 V 258 713 V 259 713 V 259 714 V 260 714 V 260 714 V 261 714 V 261 715 V 262 715 V 262 715 V 263 716 V 263 716 V 263 716 V 264 716 V 264 717 V 265 717 V 265 717 V 266 717 V 266 718 V 267 718 V 267 718 V 268 718 V 268 719 V 269 719 V 269 719 V 270 719 V 270 720 V 271 720 V 271 720 V 272 720 V 272 721 V 273 721 V 273 721 V 274 721 V 274 722 V 275 722 V 275 722 V 276 722 V 276 723 V 277 723 V 277 723 V 278 723 V 278 724 V 279 724 V 279 724 V 280 724 V 280 725 V 281 725 V 281 725 V 282 725 V 282 726 V 283 726 V 283 726 V 284 726 V 284 727 V 285 727 V 285 727 V 286 727 V 287 727 V 287 728 V 288 728 V 288 728 V 289 728 V 289 729 V 290 729 V 290 729 V 291 729 V 291 730 V 292 730 V 292 730 V 293 730 V 294 730 V 294 731 V 295 731 V 295 731 V 296 731 V 296 732 V 297 732 V 297 732 V 298 732 V 298 732 V 299 733 V 300 733 V 300 733 V 301 733 V 301 734 V 302 734 V 302 734 V 303 734 V 304 734 V 304 735 V 305 735 V 305 735 V 306 735 V 306 735 V 307 736 V 308 736 V 308 736 V 309 736 V 309 737 V 310 737 V 310 737 V 311 737 V 312 737 V 312 738 V 313 738 V 313 738 V 314 738 V 315 738 V 315 739 V 316 739 V 316 739 V 317 739 V 318 739 V 318 740 V 319 740 V 319 740 V 320 740 V 321 740 V 321 741 V 322 741 V 322 741 V 323 741 V 324 741 V 324 742 V 325 742 V 325 742 V 326 742 V 327 742 V 327 742 V 328 743 V 328 743 V 329 743 V 330 743 V 330 743 V 331 744 V 332 744 V 332 744 V 333 744 V 333 744 V 334 745 V 335 745 V 335 745 V 336 745 V 337 745 V 337 745 V 338 746 V 339 746 V 339 746 V 340 746 V 340 746 V 341 747 V 342 747 V 342 747 V 343 747 V 344 747 V 344 747 V 345 748 V 346 748 V 346 748 V 347 748 V 348 748 V 348 748 V 349 749 V 350 749 V 350 749 V 351 749 V 352 749 V 352 749 V 353 750 V 354 750 V 354 750 V 355 750 V 356 750 V 356 750 V 357 751 V 358 751 V 358 751 V 359 751 V 360 751 V 360 751 V 361 751 V 362 752 V 362 752 V 363 752 V 364 752 V 364 752 V 365 752 V 366 753 V 367 753 V 367 753 V 368 753 V 369 753 V 369 753 V 370 753 V 371 754 V 371 754 V 372 754 V 373 754 V 374 754 V 374 754 V 375 754 V 376 755 V 376 755 V 377 755 V 378 755 V 378 755 V 379 755 V 380 756 V 381 756 V 381 756 V 382 756 V 383 756 V 384 756 V 384 756 V 385 756 V 386 757 V 386 757 V 387 757 V 388 757 V 389 757 V 389 757 V 390 757 V 391 758 V 392 758 V 392 758 V 393 758 V 394 758 V 394 758 V 395 758 V 396 758 V 397 759 V 397 759 V 398 759 V 399 759 V 400 759 V 400 759 V 401 759 V 402 759 V 403 760 V 403 760 V 404 760 V 405 760 V 406 760 V 407 760 V 407 760 V 408 760 V 409 760 V 410 761 V 410 761 V 411 761 V 412 761 V 413 761 V 413 761 V 414 761 V 415 761 V 416 762 V 416 762 V 417 762 V 418 762 V 419 762 V 420 762 V 420 762 V 421 762 V 422 762 V 423 762 V 424 763 V 424 763 V 425 763 V 426 763 V 427 763 V 427 763 V 428 763 V 429 763 V 430 763 V 431 763 V 431 763 V 432 763 V 433 763 V 434 763 V 435 764 V 435 764 V 436 764 V 437 764 V 438 764 V 439 764 V 440 764 V 440 764 V 441 764 V 442 764 V 443 764 V 444 765 V 444 765 V 445 765 V 446 765 V 447 765 V 448 765 V 449 765 V 449 765 V 450 765 V 451 765 V 452 765 V 453 765 V 454 766 V 454 766 V 455 766 V 456 766 V 457 766 V 458 766 V 459 766 V 459 766 V 460 766 V 461 766 V 462 766 V 463 766 V 464 766 V 464 767 V 465 767 V 466 767 V 467 767 V 468 767 V 469 767 V 470 767 V 470 767 V 471 767 V 472 767 V 473 767 V 474 767 V 475 767 V 476 767 V 477 768 V 477 768 V 478 768 V 479 768 V 480 768 V 481 768 V 482 768 V 483 768 V 484 768 V 484 768 V 485 768 V 486 768 V 487 768 V 488 768 V 489 768 V 490 768 V 491 768 V 491 768 V 492 769 V 493 769 V 494 769 V 495 769 V 496 769 V 497 769 V 498 769 V 499 769 V 500 769 V 500 769 V 501 769 V 502 769 V 503 769 V 504 769 V 505 769 V 506 769 V 507 769 V 508 769 V 509 769 V 510 769 V 510 769 V 511 770 V 512 770 V 513 770 V 514 770 V 515 770 V 516 770 V 517 770 V 518 770 V 519 770 V 520 770 V 521 770 V 522 770 V 522 770 V 523 770 V 524 770 V 525 770 V 526 770 V 527 770 V 528 770 V 529 770 V 530 770 V 531 770 V 532 770 V 533 770 V 534 770 V 535 770 V 536 770 V 537 770 V 537 770 V 538 770 V 539 770 V 540 770 V 541 770 V 542 771 V 543 771 V 544 771 V 545 771 V 546 771 V 547 771 V 548 771 V 549 771 V 550 771 V 551 771 V 552 771 V 553 771 V 554 771 V 555 771 V 556 771 V 557 771 V 558 771 V 559 771 V 560 771 V 561 771 V 562 771 V 563 771 V 564 771 V 565 771 V 566 771 V 567 771 V 568 771 V 569 771 V 570 771 V 571 771 V 572 771 V 573 771 V 411 408 a(her.)g(ma)s(jorizable)p 373 572 V 373 572 V 373 572 V 373 571 V 373 571 V 373 571 V 373 571 V 373 570 V 373 570 V 373 570 V 373 570 V 373 569 V 373 569 V 373 569 V 373 569 V 373 568 V 373 568 V 373 568 V 373 568 V 373 567 V 373 567 V 373 567 V 373 567 V 373 566 V 374 566 V 374 566 V 374 566 V 374 565 V 374 565 V 374 565 V 374 565 V 374 564 V 374 564 V 374 564 V 374 564 V 374 563 V 374 563 V 374 563 V 374 563 V 374 563 V 374 562 V 374 562 V 374 562 V 374 562 V 374 561 V 374 561 V 374 561 V 374 561 V 374 560 V 374 560 V 374 560 V 374 560 V 374 559 V 374 559 V 374 559 V 374 559 V 374 559 V 374 558 V 374 558 V 374 558 V 374 558 V 374 557 V 375 557 V 375 557 V 375 557 V 375 556 V 375 556 V 375 556 V 375 556 V 375 556 V 375 555 V 375 555 V 375 555 V 375 555 V 375 554 V 375 554 V 375 554 V 375 554 V 375 554 V 375 553 V 375 553 V 375 553 V 375 553 V 375 552 V 376 552 V 376 552 V 376 552 V 376 552 V 376 551 V 376 551 V 376 551 V 376 551 V 376 550 V 376 550 V 376 550 V 376 550 V 376 550 V 376 549 V 376 549 V 376 549 V 376 549 V 376 548 V 377 548 V 377 548 V 377 548 V 377 548 V 377 547 V 377 547 V 377 547 V 377 547 V 377 547 V 377 546 V 377 546 V 377 546 V 377 546 V 377 545 V 378 545 V 378 545 V 378 545 V 378 545 V 378 544 V 378 544 V 378 544 V 378 544 V 378 544 V 378 543 V 378 543 V 378 543 V 378 543 V 379 542 V 379 542 V 379 542 V 379 542 V 379 542 V 379 541 V 379 541 V 379 541 V 379 541 V 379 541 V 379 540 V 379 540 V 380 540 V 380 540 V 380 540 V 380 539 V 380 539 V 380 539 V 380 539 V 380 539 V 380 538 V 380 538 V 380 538 V 381 538 V 381 538 V 381 537 V 381 537 V 381 537 V 381 537 V 381 537 V 381 536 V 381 536 V 381 536 V 381 536 V 382 536 V 382 535 V 382 535 V 382 535 V 382 535 V 382 535 V 382 534 V 382 534 V 382 534 V 383 534 V 383 534 V 383 533 V 383 533 V 383 533 V 383 533 V 383 533 V 383 532 V 383 532 V 384 532 V 384 532 V 384 532 V 384 531 V 384 531 V 384 531 V 384 531 V 384 531 V 384 531 V 385 530 V 385 530 V 385 530 V 385 530 V 385 530 V 385 529 V 385 529 V 385 529 V 386 529 V 386 529 V 386 528 V 386 528 V 386 528 V 386 528 V 386 528 V 386 528 V 387 527 V 387 527 V 387 527 V 387 527 V 387 527 V 387 526 V 387 526 V 387 526 V 388 526 V 388 526 V 388 525 V 388 525 V 388 525 V 388 525 V 388 525 V 389 525 V 389 524 V 389 524 V 389 524 V 389 524 V 389 524 V 389 524 V 389 523 V 390 523 V 390 523 V 390 523 V 390 523 V 390 522 V 390 522 V 391 522 V 391 522 V 391 522 V 391 522 V 391 521 V 391 521 V 391 521 V 392 521 V 392 521 V 392 521 V 392 520 V 392 520 V 392 520 V 392 520 V 393 520 V 393 519 V 393 519 V 393 519 V 393 519 V 393 519 V 394 519 V 394 518 V 394 518 V 394 518 V 394 518 V 394 518 V 395 518 V 395 517 V 395 517 V 395 517 V 395 517 V 395 517 V 396 517 V 396 516 V 396 516 V 396 516 V 396 516 V 396 516 V 397 516 V 397 515 V 397 515 V 397 515 V 397 515 V 397 515 V 398 515 V 398 514 V 398 514 V 398 514 V 398 514 V 398 514 V 399 514 V 399 514 V 399 513 V 399 513 V 399 513 V 399 513 V 400 513 V 400 513 V 400 512 V 400 512 V 400 512 V 401 512 V 401 512 V 401 512 V 401 511 V 401 511 V 402 511 V 402 511 V 402 511 V 402 511 V 402 511 V 402 510 V 403 510 V 403 510 V 403 510 V 403 510 V 403 510 V 404 509 V 404 509 V 404 509 V 404 509 V 404 509 V 405 509 V 405 509 V 405 508 V 405 508 V 405 508 V 406 508 V 406 508 V 406 508 V 406 508 V 406 507 V 407 507 V 407 507 V 407 507 V 407 507 V 407 507 V 408 506 V 408 506 V 408 506 V 408 506 V 408 506 V 409 506 V 409 506 V 409 505 V 409 505 V 410 505 V 410 505 V 410 505 V 410 505 V 410 505 V 411 504 V 411 504 V 411 504 V 411 504 V 411 504 V 412 504 V 412 504 V 412 504 V 412 503 V 413 503 V 413 503 V 413 503 V 413 503 V 413 503 V 414 503 V 414 502 V 414 502 V 414 502 V 415 502 V 415 502 V 415 502 V 415 502 V 415 501 V 416 501 V 416 501 V 416 501 V 416 501 V 417 501 V 417 501 V 417 501 V 417 500 V 418 500 V 418 500 V 418 500 V 418 500 V 418 500 V 419 500 V 419 499 V 419 499 V 419 499 V 420 499 V 420 499 V 420 499 V 420 499 V 421 499 V 421 498 V 421 498 V 421 498 V 422 498 V 422 498 V 422 498 V 422 498 V 423 498 V 423 497 V 423 497 V 423 497 V 424 497 V 424 497 V 424 497 V 424 497 V 425 497 V 425 496 V 425 496 V 425 496 V 426 496 V 426 496 V 426 496 V 426 496 V 427 496 V 427 495 V 427 495 V 427 495 V 428 495 V 428 495 V 428 495 V 428 495 V 429 495 V 429 495 V 429 494 V 430 494 V 430 494 V 430 494 V 430 494 V 431 494 V 431 494 V 431 494 V 431 493 V 432 493 V 432 493 V 432 493 V 432 493 V 433 493 V 433 493 V 433 493 V 434 493 V 434 492 V 434 492 V 434 492 V 435 492 V 435 492 V 435 492 V 436 492 V 436 492 V 436 492 V 436 491 V 437 491 V 437 491 V 437 491 V 437 491 V 438 491 V 438 491 V 438 491 V 439 491 V 439 490 V 439 490 V 439 490 V 440 490 V 440 490 V 440 490 V 441 490 V 441 490 V 441 490 V 442 490 V 442 489 V 442 489 V 442 489 V 443 489 V 443 489 V 443 489 V 444 489 V 444 489 V 444 489 V 444 489 V 445 488 V 445 488 V 445 488 V 446 488 V 446 488 V 446 488 V 447 488 V 447 488 V 447 488 V 447 488 V 448 487 V 448 487 V 448 487 V 449 487 V 449 487 V 449 487 V 450 487 V 450 487 V 450 487 V 451 487 V 451 487 V 451 486 V 451 486 V 452 486 V 452 486 V 452 486 V 453 486 V 453 486 V 453 486 V 454 486 V 454 486 V 454 486 V 455 485 V 455 485 V 455 485 V 456 485 V 456 485 V 456 485 V 457 485 V 457 485 V 457 485 V 457 485 V 458 485 V 458 484 V 458 484 V 459 484 V 459 484 V 459 484 V 460 484 V 460 484 V 460 484 V 461 484 V 461 484 V 461 484 V 462 483 V 462 483 V 462 483 V 463 483 V 463 483 V 463 483 V 464 483 V 464 483 V 464 483 V 465 483 V 465 483 V 465 483 V 466 483 V 466 482 V 466 482 V 467 482 V 467 482 V 467 482 V 468 482 V 468 482 V 468 482 V 469 482 V 469 482 V 470 482 V 470 482 V 470 482 V 471 481 V 471 481 V 471 481 V 472 481 V 472 481 V 472 481 V 473 481 V 473 481 V 473 481 V 474 481 V 474 481 V 474 481 V 475 481 V 475 480 V 476 480 V 476 480 V 476 480 V 477 480 V 477 480 V 477 480 V 478 480 V 478 480 V 478 480 V 479 480 V 479 480 V 479 480 V 480 480 V 480 480 V 481 479 V 481 479 V 481 479 V 482 479 V 482 479 V 482 479 V 483 479 V 483 479 V 484 479 V 484 479 V 484 479 V 485 479 V 485 479 V 485 479 V 486 479 V 486 479 V 486 478 V 487 478 V 487 478 V 488 478 V 488 478 V 488 478 V 489 478 V 489 478 V 490 478 V 490 478 V 490 478 V 491 478 V 491 478 V 491 478 V 492 478 V 492 478 V 493 478 V 493 477 V 493 477 V 494 477 V 494 477 V 495 477 V 495 477 V 495 477 V 496 477 V 496 477 V 496 477 V 497 477 V 497 477 V 498 477 V 498 477 V 498 477 V 499 477 V 499 477 V 500 477 V 500 476 V 500 476 V 501 476 V 501 476 V 502 476 V 502 476 V 502 476 V 503 476 V 503 476 V 504 476 V 504 476 V 504 476 V 505 476 V 505 476 V 506 476 V 506 476 V 506 476 V 507 476 V 507 476 V 508 476 V 508 476 V 508 476 V 509 475 V 509 475 V 510 475 V 510 475 V 511 475 V 511 475 V 511 475 V 512 475 V 512 475 V 513 475 V 513 475 V 513 475 V 514 475 V 514 475 V 515 475 V 515 475 V 516 475 V 516 475 V 516 475 V 517 475 V 517 475 V 518 475 V 518 475 V 519 475 V 519 474 V 519 474 V 520 474 V 520 474 V 521 474 V 521 474 V 522 474 V 522 474 V 522 474 V 523 474 V 523 474 V 524 474 V 524 474 V 525 474 V 525 474 V 525 474 V 526 474 V 526 474 V 527 474 V 527 474 V 528 474 V 528 474 V 528 474 V 529 474 V 529 474 V 530 474 V 530 474 V 531 474 V 531 474 V 532 474 V 532 474 V 532 474 V 533 474 V 533 473 V 534 473 V 534 473 V 535 473 V 535 473 V 536 473 V 536 473 V 536 473 V 537 473 V 537 473 V 538 473 V 538 473 V 539 473 V 539 473 V 540 473 V 540 473 V 541 473 V 541 473 V 541 473 V 542 473 V 542 473 V 543 473 V 543 473 V 544 473 V 544 473 V 545 473 V 545 473 V 546 473 V 546 473 V 547 473 V 547 473 V 547 473 V 548 473 V 548 473 V 549 473 V 549 473 V 550 473 V 550 473 V 551 473 V 551 473 V 552 473 V 552 473 V 553 473 V 553 473 V 554 473 V 554 473 V 555 473 V 555 473 V 555 473 V 556 473 V 556 473 V 557 473 V 557 473 V 558 473 V 558 473 V 559 473 V 559 473 V 560 473 V 560 473 V 561 472 V 561 473 V 562 472 V 562 472 V 563 472 V 563 472 V 564 472 V 564 472 V 565 472 V 565 472 V 566 472 V 566 472 V 567 472 V 567 472 V 568 472 V 568 472 V 569 472 V 569 472 V 570 472 V 570 472 V 571 472 V 571 472 V 572 472 V 572 472 V 573 472 V 772 572 V 772 572 V 772 572 V 772 571 V 772 571 V 772 571 V 772 571 V 772 570 V 772 570 V 772 570 V 772 570 V 772 569 V 772 569 V 772 569 V 772 569 V 772 568 V 772 568 V 772 568 V 772 568 V 772 567 V 772 567 V 772 567 V 772 567 V 772 566 V 772 566 V 772 566 V 772 566 V 772 565 V 772 565 V 772 565 V 772 565 V 772 564 V 772 564 V 771 564 V 771 564 V 771 563 V 771 563 V 771 563 V 771 563 V 771 563 V 771 562 V 771 562 V 771 562 V 771 562 V 771 561 V 771 561 V 771 561 V 771 561 V 771 560 V 771 560 V 771 560 V 771 560 V 771 559 V 771 559 V 771 559 V 771 559 V 771 559 V 771 558 V 771 558 V 771 558 V 771 558 V 771 557 V 771 557 V 771 557 V 771 557 V 771 556 V 770 556 V 770 556 V 770 556 V 770 556 V 770 555 V 770 555 V 770 555 V 770 555 V 770 554 V 770 554 V 770 554 V 770 554 V 770 554 V 770 553 V 770 553 V 770 553 V 770 553 V 770 552 V 770 552 V 770 552 V 770 552 V 769 552 V 769 551 V 769 551 V 769 551 V 769 551 V 769 550 V 769 550 V 769 550 V 769 550 V 769 550 V 769 549 V 769 549 V 769 549 V 769 549 V 769 548 V 769 548 V 769 548 V 768 548 V 768 548 V 768 547 V 768 547 V 768 547 V 768 547 V 768 547 V 768 546 V 768 546 V 768 546 V 768 546 V 768 545 V 768 545 V 768 545 V 767 545 V 767 545 V 767 544 V 767 544 V 767 544 V 767 544 V 767 544 V 767 543 V 767 543 V 767 543 V 767 543 V 767 542 V 767 542 V 766 542 V 766 542 V 766 542 V 766 541 V 766 541 V 766 541 V 766 541 V 766 541 V 766 540 V 766 540 V 766 540 V 766 540 V 765 540 V 765 539 V 765 539 V 765 539 V 765 539 V 765 539 V 765 538 V 765 538 V 765 538 V 765 538 V 765 538 V 764 537 V 764 537 V 764 537 V 764 537 V 764 537 V 764 536 V 764 536 V 764 536 V 764 536 V 764 536 V 763 535 V 763 535 V 763 535 V 763 535 V 763 535 V 763 534 V 763 534 V 763 534 V 763 534 V 763 534 V 762 533 V 762 533 V 762 533 V 762 533 V 762 533 V 762 532 V 762 532 V 762 532 V 762 532 V 761 532 V 761 531 V 761 531 V 761 531 V 761 531 V 761 531 V 761 531 V 761 530 V 760 530 V 760 530 V 760 530 V 760 530 V 760 529 V 760 529 V 760 529 V 760 529 V 759 529 V 759 528 V 759 528 V 759 528 V 759 528 V 759 528 V 759 528 V 759 527 V 758 527 V 758 527 V 758 527 V 758 527 V 758 526 V 758 526 V 758 526 V 758 526 V 757 526 V 757 525 V 757 525 V 757 525 V 757 525 V 757 525 V 757 525 V 756 524 V 756 524 V 756 524 V 756 524 V 756 524 V 756 524 V 756 523 V 756 523 V 755 523 V 755 523 V 755 523 V 755 522 V 755 522 V 755 522 V 754 522 V 754 522 V 754 522 V 754 521 V 754 521 V 754 521 V 754 521 V 753 521 V 753 521 V 753 520 V 753 520 V 753 520 V 753 520 V 753 520 V 752 519 V 752 519 V 752 519 V 752 519 V 752 519 V 752 519 V 751 518 V 751 518 V 751 518 V 751 518 V 751 518 V 751 518 V 750 517 V 750 517 V 750 517 V 750 517 V 750 517 V 750 517 V 749 516 V 749 516 V 749 516 V 749 516 V 749 516 V 749 516 V 748 515 V 748 515 V 748 515 V 748 515 V 748 515 V 748 515 V 747 514 V 747 514 V 747 514 V 747 514 V 747 514 V 747 514 V 746 514 V 746 513 V 746 513 V 746 513 V 746 513 V 745 513 V 745 513 V 745 512 V 745 512 V 745 512 V 745 512 V 744 512 V 744 512 V 744 511 V 744 511 V 744 511 V 743 511 V 743 511 V 743 511 V 743 511 V 743 510 V 742 510 V 742 510 V 742 510 V 742 510 V 742 510 V 742 509 V 741 509 V 741 509 V 741 509 V 741 509 V 741 509 V 740 509 V 740 508 V 740 508 V 740 508 V 740 508 V 739 508 V 739 508 V 739 508 V 739 507 V 739 507 V 738 507 V 738 507 V 738 507 V 738 507 V 738 506 V 737 506 V 737 506 V 737 506 V 737 506 V 736 506 V 736 506 V 736 505 V 736 505 V 736 505 V 735 505 V 735 505 V 735 505 V 735 505 V 735 504 V 734 504 V 734 504 V 734 504 V 734 504 V 733 504 V 733 504 V 733 504 V 733 503 V 733 503 V 732 503 V 732 503 V 732 503 V 732 503 V 731 503 V 731 502 V 731 502 V 731 502 V 731 502 V 730 502 V 730 502 V 730 502 V 730 501 V 729 501 V 729 501 V 729 501 V 729 501 V 729 501 V 728 501 V 728 501 V 728 500 V 728 500 V 727 500 V 727 500 V 727 500 V 727 500 V 726 500 V 726 499 V 726 499 V 726 499 V 725 499 V 725 499 V 725 499 V 725 499 V 724 499 V 724 498 V 724 498 V 724 498 V 724 498 V 723 498 V 723 498 V 723 498 V 723 498 V 722 497 V 722 497 V 722 497 V 722 497 V 721 497 V 721 497 V 721 497 V 721 497 V 720 496 V 720 496 V 720 496 V 719 496 V 719 496 V 719 496 V 719 496 V 718 496 V 718 495 V 718 495 V 718 495 V 717 495 V 717 495 V 717 495 V 717 495 V 716 495 V 716 495 V 716 494 V 716 494 V 715 494 V 715 494 V 715 494 V 715 494 V 714 494 V 714 494 V 714 493 V 713 493 V 713 493 V 713 493 V 713 493 V 712 493 V 712 493 V 712 493 V 712 493 V 711 492 V 711 492 V 711 492 V 710 492 V 710 492 V 710 492 V 710 492 V 709 492 V 709 492 V 709 491 V 709 491 V 708 491 V 708 491 V 708 491 V 707 491 V 707 491 V 707 491 V 707 491 V 706 490 V 706 490 V 706 490 V 705 490 V 705 490 V 705 490 V 705 490 V 704 490 V 704 490 V 704 490 V 703 489 V 703 489 V 703 489 V 702 489 V 702 489 V 702 489 V 702 489 V 701 489 V 701 489 V 701 489 V 700 488 V 700 488 V 700 488 V 699 488 V 699 488 V 699 488 V 699 488 V 698 488 V 698 488 V 698 488 V 697 487 V 697 487 V 697 487 V 696 487 V 696 487 V 696 487 V 696 487 V 695 487 V 695 487 V 695 487 V 694 487 V 694 486 V 694 486 V 693 486 V 693 486 V 693 486 V 692 486 V 692 486 V 692 486 V 692 486 V 691 486 V 691 486 V 691 485 V 690 485 V 690 485 V 690 485 V 689 485 V 689 485 V 689 485 V 688 485 V 688 485 V 688 485 V 687 485 V 687 484 V 687 484 V 686 484 V 686 484 V 686 484 V 685 484 V 685 484 V 685 484 V 684 484 V 684 484 V 684 484 V 683 483 V 683 483 V 683 483 V 682 483 V 682 483 V 682 483 V 681 483 V 681 483 V 681 483 V 680 483 V 680 483 V 680 483 V 679 483 V 679 482 V 679 482 V 678 482 V 678 482 V 678 482 V 677 482 V 677 482 V 677 482 V 676 482 V 676 482 V 676 482 V 675 482 V 675 482 V 675 481 V 674 481 V 674 481 V 674 481 V 673 481 V 673 481 V 672 481 V 672 481 V 672 481 V 671 481 V 671 481 V 671 481 V 670 481 V 670 480 V 670 480 V 669 480 V 669 480 V 669 480 V 668 480 V 668 480 V 667 480 V 667 480 V 667 480 V 666 480 V 666 480 V 666 480 V 665 480 V 665 480 V 665 479 V 664 479 V 664 479 V 663 479 V 663 479 V 663 479 V 662 479 V 662 479 V 662 479 V 661 479 V 661 479 V 660 479 V 660 479 V 660 479 V 659 479 V 659 479 V 659 478 V 658 478 V 658 478 V 658 478 V 657 478 V 657 478 V 656 478 V 656 478 V 656 478 V 655 478 V 655 478 V 654 478 V 654 478 V 654 478 V 653 478 V 653 478 V 653 478 V 652 477 V 652 477 V 651 477 V 651 477 V 651 477 V 650 477 V 650 477 V 649 477 V 649 477 V 649 477 V 648 477 V 648 477 V 647 477 V 647 477 V 647 477 V 646 477 V 646 477 V 646 477 V 645 476 V 645 476 V 644 476 V 644 476 V 644 476 V 643 476 V 643 476 V 642 476 V 642 476 V 642 476 V 641 476 V 641 476 V 640 476 V 640 476 V 640 476 V 639 476 V 639 476 V 638 476 V 638 476 V 637 476 V 637 476 V 637 476 V 636 475 V 636 475 V 635 475 V 635 475 V 635 475 V 634 475 V 634 475 V 633 475 V 633 475 V 632 475 V 632 475 V 632 475 V 631 475 V 631 475 V 630 475 V 630 475 V 630 475 V 629 475 V 629 475 V 628 475 V 628 475 V 627 475 V 627 475 V 627 475 V 626 474 V 626 474 V 625 474 V 625 474 V 624 474 V 624 474 V 624 474 V 623 474 V 623 474 V 622 474 V 622 474 V 621 474 V 621 474 V 621 474 V 620 474 V 620 474 V 619 474 V 619 474 V 618 474 V 618 474 V 618 474 V 617 474 V 617 474 V 616 474 V 616 474 V 615 474 V 615 474 V 614 474 V 614 474 V 614 474 V 613 474 V 613 474 V 612 474 V 612 473 V 611 473 V 611 473 V 610 473 V 610 473 V 610 473 V 609 473 V 609 473 V 608 473 V 608 473 V 607 473 V 607 473 V 606 473 V 606 473 V 606 473 V 605 473 V 605 473 V 604 473 V 604 473 V 603 473 V 603 473 V 602 473 V 602 473 V 601 473 V 601 473 V 600 473 V 600 473 V 600 473 V 599 473 V 599 473 V 598 473 V 598 473 V 597 473 V 597 473 V 596 473 V 596 473 V 595 473 V 595 473 V 594 473 V 594 473 V 593 473 V 593 473 V 593 473 V 592 473 V 592 473 V 591 473 V 591 473 V 590 473 V 590 473 V 589 473 V 589 473 V 588 473 V 588 473 V 587 473 V 587 473 V 586 473 V 586 473 V 585 473 V 585 473 V 584 472 V 584 473 V 583 472 V 583 472 V 582 472 V 582 472 V 581 472 V 581 472 V 580 472 V 580 472 V 579 472 V 579 472 V 579 472 V 578 472 V 578 472 V 577 472 V 577 472 V 576 472 V 576 472 V 575 472 V 575 472 V 574 472 V 574 472 V 573 472 V 573 472 V 772 572 V 772 572 V 772 573 V 772 573 V 772 573 V 772 573 V 772 574 V 772 574 V 772 574 V 772 574 V 772 574 V 772 575 V 772 575 V 772 575 V 772 575 V 772 576 V 772 576 V 772 576 V 772 576 V 772 577 V 772 577 V 772 577 V 772 577 V 772 578 V 772 578 V 772 578 V 772 578 V 772 579 V 772 579 V 772 579 V 772 579 V 772 580 V 772 580 V 771 580 V 771 580 V 771 581 V 771 581 V 771 581 V 771 581 V 771 581 V 771 582 V 771 582 V 771 582 V 771 582 V 771 583 V 771 583 V 771 583 V 771 583 V 771 584 V 771 584 V 771 584 V 771 584 V 771 585 V 771 585 V 771 585 V 771 585 V 771 585 V 771 586 V 771 586 V 771 586 V 771 586 V 771 587 V 771 587 V 771 587 V 771 587 V 771 588 V 770 588 V 770 588 V 770 588 V 770 588 V 770 589 V 770 589 V 770 589 V 770 589 V 770 590 V 770 590 V 770 590 V 770 590 V 770 590 V 770 591 V 770 591 V 770 591 V 770 591 V 770 592 V 770 592 V 770 592 V 770 592 V 769 593 V 769 593 V 769 593 V 769 593 V 769 593 V 769 594 V 769 594 V 769 594 V 769 594 V 769 594 V 769 595 V 769 595 V 769 595 V 769 595 V 769 596 V 769 596 V 769 596 V 768 596 V 768 596 V 768 597 V 768 597 V 768 597 V 768 597 V 768 598 V 768 598 V 768 598 V 768 598 V 768 598 V 768 599 V 768 599 V 768 599 V 767 599 V 767 599 V 767 600 V 767 600 V 767 600 V 767 600 V 767 601 V 767 601 V 767 601 V 767 601 V 767 601 V 767 602 V 767 602 V 766 602 V 766 602 V 766 602 V 766 603 V 766 603 V 766 603 V 766 603 V 766 603 V 766 604 V 766 604 V 766 604 V 766 604 V 765 604 V 765 605 V 765 605 V 765 605 V 765 605 V 765 605 V 765 606 V 765 606 V 765 606 V 765 606 V 765 606 V 764 607 V 764 607 V 764 607 V 764 607 V 764 607 V 764 608 V 764 608 V 764 608 V 764 608 V 764 608 V 763 609 V 763 609 V 763 609 V 763 609 V 763 609 V 763 610 V 763 610 V 763 610 V 763 610 V 763 610 V 762 611 V 762 611 V 762 611 V 762 611 V 762 611 V 762 612 V 762 612 V 762 612 V 762 612 V 761 612 V 761 613 V 761 613 V 761 613 V 761 613 V 761 613 V 761 614 V 761 614 V 760 614 V 760 614 V 760 614 V 760 614 V 760 615 V 760 615 V 760 615 V 760 615 V 759 615 V 759 616 V 759 616 V 759 616 V 759 616 V 759 616 V 759 617 V 759 617 V 758 617 V 758 617 V 758 617 V 758 617 V 758 618 V 758 618 V 758 618 V 758 618 V 757 618 V 757 619 V 757 619 V 757 619 V 757 619 V 757 619 V 757 619 V 756 620 V 756 620 V 756 620 V 756 620 V 756 620 V 756 621 V 756 621 V 756 621 V 755 621 V 755 621 V 755 621 V 755 622 V 755 622 V 755 622 V 754 622 V 754 622 V 754 622 V 754 623 V 754 623 V 754 623 V 754 623 V 753 623 V 753 624 V 753 624 V 753 624 V 753 624 V 753 624 V 753 624 V 752 625 V 752 625 V 752 625 V 752 625 V 752 625 V 752 625 V 751 626 V 751 626 V 751 626 V 751 626 V 751 626 V 751 626 V 750 627 V 750 627 V 750 627 V 750 627 V 750 627 V 750 627 V 749 628 V 749 628 V 749 628 V 749 628 V 749 628 V 749 628 V 748 629 V 748 629 V 748 629 V 748 629 V 748 629 V 748 629 V 747 630 V 747 630 V 747 630 V 747 630 V 747 630 V 747 630 V 746 631 V 746 631 V 746 631 V 746 631 V 746 631 V 745 631 V 745 631 V 745 632 V 745 632 V 745 632 V 745 632 V 744 632 V 744 632 V 744 633 V 744 633 V 744 633 V 743 633 V 743 633 V 743 633 V 743 633 V 743 634 V 742 634 V 742 634 V 742 634 V 742 634 V 742 634 V 742 635 V 741 635 V 741 635 V 741 635 V 741 635 V 741 635 V 740 635 V 740 636 V 740 636 V 740 636 V 740 636 V 739 636 V 739 636 V 739 637 V 739 637 V 739 637 V 738 637 V 738 637 V 738 637 V 738 637 V 738 638 V 737 638 V 737 638 V 737 638 V 737 638 V 736 638 V 736 638 V 736 639 V 736 639 V 736 639 V 735 639 V 735 639 V 735 639 V 735 639 V 735 640 V 734 640 V 734 640 V 734 640 V 734 640 V 733 640 V 733 640 V 733 641 V 733 641 V 733 641 V 732 641 V 732 641 V 732 641 V 732 641 V 731 641 V 731 642 V 731 642 V 731 642 V 731 642 V 730 642 V 730 642 V 730 642 V 730 643 V 729 643 V 729 643 V 729 643 V 729 643 V 729 643 V 728 643 V 728 644 V 728 644 V 728 644 V 727 644 V 727 644 V 727 644 V 727 644 V 726 644 V 726 645 V 726 645 V 726 645 V 725 645 V 725 645 V 725 645 V 725 645 V 724 645 V 724 646 V 724 646 V 724 646 V 724 646 V 723 646 V 723 646 V 723 646 V 723 646 V 722 647 V 722 647 V 722 647 V 722 647 V 721 647 V 721 647 V 721 647 V 721 647 V 720 648 V 720 648 V 720 648 V 719 648 V 719 648 V 719 648 V 719 648 V 718 648 V 718 649 V 718 649 V 718 649 V 717 649 V 717 649 V 717 649 V 717 649 V 716 649 V 716 650 V 716 650 V 716 650 V 715 650 V 715 650 V 715 650 V 715 650 V 714 650 V 714 650 V 714 651 V 713 651 V 713 651 V 713 651 V 713 651 V 712 651 V 712 651 V 712 651 V 712 651 V 711 652 V 711 652 V 711 652 V 710 652 V 710 652 V 710 652 V 710 652 V 709 652 V 709 652 V 709 653 V 709 653 V 708 653 V 708 653 V 708 653 V 707 653 V 707 653 V 707 653 V 707 653 V 706 654 V 706 654 V 706 654 V 705 654 V 705 654 V 705 654 V 705 654 V 704 654 V 704 654 V 704 654 V 703 655 V 703 655 V 703 655 V 702 655 V 702 655 V 702 655 V 702 655 V 701 655 V 701 655 V 701 655 V 700 656 V 700 656 V 700 656 V 699 656 V 699 656 V 699 656 V 699 656 V 698 656 V 698 656 V 698 656 V 697 657 V 697 657 V 697 657 V 696 657 V 696 657 V 696 657 V 696 657 V 695 657 V 695 657 V 695 657 V 694 658 V 694 658 V 694 658 V 693 658 V 693 658 V 693 658 V 692 658 V 692 658 V 692 658 V 692 658 V 691 658 V 691 659 V 691 659 V 690 659 V 690 659 V 690 659 V 689 659 V 689 659 V 689 659 V 688 659 V 688 659 V 688 659 V 687 660 V 687 660 V 687 660 V 686 660 V 686 660 V 686 660 V 685 660 V 685 660 V 685 660 V 684 660 V 684 660 V 684 660 V 683 661 V 683 661 V 683 661 V 682 661 V 682 661 V 682 661 V 681 661 V 681 661 V 681 661 V 680 661 V 680 661 V 680 661 V 679 661 V 679 662 V 679 662 V 678 662 V 678 662 V 678 662 V 677 662 V 677 662 V 677 662 V 676 662 V 676 662 V 676 662 V 675 662 V 675 662 V 675 663 V 674 663 V 674 663 V 674 663 V 673 663 V 673 663 V 672 663 V 672 663 V 672 663 V 671 663 V 671 663 V 671 663 V 670 663 V 670 664 V 670 664 V 669 664 V 669 664 V 669 664 V 668 664 V 668 664 V 667 664 V 667 664 V 667 664 V 666 664 V 666 664 V 666 664 V 665 664 V 665 665 V 665 665 V 664 665 V 664 665 V 663 665 V 663 665 V 663 665 V 662 665 V 662 665 V 662 665 V 661 665 V 661 665 V 660 665 V 660 665 V 660 665 V 659 665 V 659 666 V 659 666 V 658 666 V 658 666 V 658 666 V 657 666 V 657 666 V 656 666 V 656 666 V 656 666 V 655 666 V 655 666 V 654 666 V 654 666 V 654 666 V 653 666 V 653 666 V 653 667 V 652 667 V 652 667 V 651 667 V 651 667 V 651 667 V 650 667 V 650 667 V 649 667 V 649 667 V 649 667 V 648 667 V 648 667 V 647 667 V 647 667 V 647 667 V 646 667 V 646 667 V 646 667 V 645 668 V 645 668 V 644 668 V 644 668 V 644 668 V 643 668 V 643 668 V 642 668 V 642 668 V 642 668 V 641 668 V 641 668 V 640 668 V 640 668 V 640 668 V 639 668 V 639 668 V 638 668 V 638 668 V 637 668 V 637 669 V 637 669 V 636 669 V 636 669 V 635 669 V 635 669 V 635 669 V 634 669 V 634 669 V 633 669 V 633 669 V 632 669 V 632 669 V 632 669 V 631 669 V 631 669 V 630 669 V 630 669 V 630 669 V 629 669 V 629 669 V 628 669 V 628 669 V 627 669 V 627 669 V 627 669 V 626 670 V 626 670 V 625 670 V 625 670 V 624 670 V 624 670 V 624 670 V 623 670 V 623 670 V 622 670 V 622 670 V 621 670 V 621 670 V 621 670 V 620 670 V 620 670 V 619 670 V 619 670 V 618 670 V 618 670 V 618 670 V 617 670 V 617 670 V 616 670 V 616 670 V 615 670 V 615 670 V 614 670 V 614 670 V 614 670 V 613 670 V 613 670 V 612 671 V 612 671 V 611 671 V 611 671 V 610 671 V 610 671 V 610 671 V 609 671 V 609 671 V 608 671 V 608 671 V 607 671 V 607 671 V 606 671 V 606 671 V 606 671 V 605 671 V 605 671 V 604 671 V 604 671 V 603 671 V 603 671 V 602 671 V 602 671 V 601 671 V 601 671 V 600 671 V 600 671 V 600 671 V 599 671 V 599 671 V 598 671 V 598 671 V 597 671 V 597 671 V 596 671 V 596 671 V 595 671 V 595 671 V 594 671 V 594 671 V 593 671 V 593 671 V 593 671 V 592 671 V 592 671 V 591 671 V 591 671 V 590 671 V 590 671 V 589 671 V 589 671 V 588 671 V 588 671 V 587 671 V 587 671 V 586 671 V 586 672 V 585 671 V 585 672 V 584 672 V 584 672 V 583 672 V 583 672 V 582 672 V 582 672 V 581 672 V 581 672 V 580 672 V 580 672 V 579 672 V 579 672 V 579 672 V 578 672 V 578 672 V 577 672 V 577 672 V 576 672 V 576 672 V 575 672 V 575 672 V 574 672 V 574 672 V 573 672 V 573 672 V 373 572 V 373 572 V 373 573 V 373 573 V 373 573 V 373 573 V 373 574 V 373 574 V 373 574 V 373 574 V 373 574 V 373 575 V 373 575 V 373 575 V 373 575 V 373 576 V 373 576 V 373 576 V 373 576 V 373 577 V 373 577 V 373 577 V 373 577 V 373 578 V 374 578 V 374 578 V 374 578 V 374 579 V 374 579 V 374 579 V 374 579 V 374 580 V 374 580 V 374 580 V 374 580 V 374 581 V 374 581 V 374 581 V 374 581 V 374 581 V 374 582 V 374 582 V 374 582 V 374 582 V 374 583 V 374 583 V 374 583 V 374 583 V 374 584 V 374 584 V 374 584 V 374 584 V 374 585 V 374 585 V 374 585 V 374 585 V 374 585 V 374 586 V 374 586 V 374 586 V 374 586 V 374 587 V 375 587 V 375 587 V 375 587 V 375 588 V 375 588 V 375 588 V 375 588 V 375 588 V 375 589 V 375 589 V 375 589 V 375 589 V 375 590 V 375 590 V 375 590 V 375 590 V 375 590 V 375 591 V 375 591 V 375 591 V 375 591 V 375 592 V 376 592 V 376 592 V 376 592 V 376 593 V 376 593 V 376 593 V 376 593 V 376 593 V 376 594 V 376 594 V 376 594 V 376 594 V 376 594 V 376 595 V 376 595 V 376 595 V 376 595 V 376 596 V 377 596 V 377 596 V 377 596 V 377 596 V 377 597 V 377 597 V 377 597 V 377 597 V 377 598 V 377 598 V 377 598 V 377 598 V 377 598 V 377 599 V 378 599 V 378 599 V 378 599 V 378 599 V 378 600 V 378 600 V 378 600 V 378 600 V 378 601 V 378 601 V 378 601 V 378 601 V 378 601 V 379 602 V 379 602 V 379 602 V 379 602 V 379 602 V 379 603 V 379 603 V 379 603 V 379 603 V 379 603 V 379 604 V 379 604 V 380 604 V 380 604 V 380 604 V 380 605 V 380 605 V 380 605 V 380 605 V 380 605 V 380 606 V 380 606 V 380 606 V 381 606 V 381 606 V 381 607 V 381 607 V 381 607 V 381 607 V 381 607 V 381 608 V 381 608 V 381 608 V 381 608 V 382 608 V 382 609 V 382 609 V 382 609 V 382 609 V 382 609 V 382 610 V 382 610 V 382 610 V 383 610 V 383 610 V 383 611 V 383 611 V 383 611 V 383 611 V 383 611 V 383 612 V 383 612 V 384 612 V 384 612 V 384 612 V 384 613 V 384 613 V 384 613 V 384 613 V 384 613 V 384 614 V 385 614 V 385 614 V 385 614 V 385 614 V 385 614 V 385 615 V 385 615 V 385 615 V 386 615 V 386 615 V 386 616 V 386 616 V 386 616 V 386 616 V 386 616 V 386 617 V 387 617 V 387 617 V 387 617 V 387 617 V 387 617 V 387 618 V 387 618 V 387 618 V 388 618 V 388 618 V 388 619 V 388 619 V 388 619 V 388 619 V 388 619 V 389 619 V 389 620 V 389 620 V 389 620 V 389 620 V 389 620 V 389 621 V 389 621 V 390 621 V 390 621 V 390 621 V 390 621 V 390 622 V 390 622 V 391 622 V 391 622 V 391 622 V 391 622 V 391 623 V 391 623 V 391 623 V 392 623 V 392 623 V 392 624 V 392 624 V 392 624 V 392 624 V 392 624 V 393 624 V 393 625 V 393 625 V 393 625 V 393 625 V 393 625 V 394 625 V 394 626 V 394 626 V 394 626 V 394 626 V 394 626 V 395 626 V 395 627 V 395 627 V 395 627 V 395 627 V 395 627 V 396 627 V 396 628 V 396 628 V 396 628 V 396 628 V 396 628 V 397 628 V 397 629 V 397 629 V 397 629 V 397 629 V 397 629 V 398 629 V 398 630 V 398 630 V 398 630 V 398 630 V 398 630 V 399 630 V 399 631 V 399 631 V 399 631 V 399 631 V 399 631 V 400 631 V 400 631 V 400 632 V 400 632 V 400 632 V 401 632 V 401 632 V 401 632 V 401 633 V 401 633 V 402 633 V 402 633 V 402 633 V 402 633 V 402 633 V 402 634 V 403 634 V 403 634 V 403 634 V 403 634 V 403 634 V 404 635 V 404 635 V 404 635 V 404 635 V 404 635 V 405 635 V 405 635 V 405 636 V 405 636 V 405 636 V 406 636 V 406 636 V 406 636 V 406 637 V 406 637 V 407 637 V 407 637 V 407 637 V 407 637 V 407 637 V 408 638 V 408 638 V 408 638 V 408 638 V 408 638 V 409 638 V 409 638 V 409 639 V 409 639 V 410 639 V 410 639 V 410 639 V 410 639 V 410 639 V 411 640 V 411 640 V 411 640 V 411 640 V 411 640 V 412 640 V 412 640 V 412 641 V 412 641 V 413 641 V 413 641 V 413 641 V 413 641 V 413 641 V 414 641 V 414 642 V 414 642 V 414 642 V 415 642 V 415 642 V 415 642 V 415 642 V 415 643 V 416 643 V 416 643 V 416 643 V 416 643 V 417 643 V 417 643 V 417 644 V 417 644 V 418 644 V 418 644 V 418 644 V 418 644 V 418 644 V 419 644 V 419 645 V 419 645 V 419 645 V 420 645 V 420 645 V 420 645 V 420 645 V 421 645 V 421 646 V 421 646 V 421 646 V 422 646 V 422 646 V 422 646 V 422 646 V 423 646 V 423 647 V 423 647 V 423 647 V 424 647 V 424 647 V 424 647 V 424 647 V 425 647 V 425 648 V 425 648 V 425 648 V 426 648 V 426 648 V 426 648 V 426 648 V 427 648 V 427 649 V 427 649 V 427 649 V 428 649 V 428 649 V 428 649 V 428 649 V 429 649 V 429 650 V 429 650 V 430 650 V 430 650 V 430 650 V 430 650 V 431 650 V 431 650 V 431 650 V 431 651 V 432 651 V 432 651 V 432 651 V 432 651 V 433 651 V 433 651 V 433 651 V 434 651 V 434 652 V 434 652 V 434 652 V 435 652 V 435 652 V 435 652 V 436 652 V 436 652 V 436 652 V 436 653 V 437 653 V 437 653 V 437 653 V 437 653 V 438 653 V 438 653 V 438 653 V 439 653 V 439 654 V 439 654 V 439 654 V 440 654 V 440 654 V 440 654 V 441 654 V 441 654 V 441 654 V 442 654 V 442 655 V 442 655 V 442 655 V 443 655 V 443 655 V 443 655 V 444 655 V 444 655 V 444 655 V 444 655 V 445 656 V 445 656 V 445 656 V 446 656 V 446 656 V 446 656 V 447 656 V 447 656 V 447 656 V 447 656 V 448 657 V 448 657 V 448 657 V 449 657 V 449 657 V 449 657 V 450 657 V 450 657 V 450 657 V 451 657 V 451 658 V 451 658 V 451 658 V 452 658 V 452 658 V 452 658 V 453 658 V 453 658 V 453 658 V 454 658 V 454 658 V 454 659 V 455 659 V 455 659 V 455 659 V 456 659 V 456 659 V 456 659 V 457 659 V 457 659 V 457 659 V 457 659 V 458 660 V 458 660 V 458 660 V 459 660 V 459 660 V 459 660 V 460 660 V 460 660 V 460 660 V 461 660 V 461 660 V 461 660 V 462 661 V 462 661 V 462 661 V 463 661 V 463 661 V 463 661 V 464 661 V 464 661 V 464 661 V 465 661 V 465 661 V 465 661 V 466 661 V 466 662 V 466 662 V 467 662 V 467 662 V 467 662 V 468 662 V 468 662 V 468 662 V 469 662 V 469 662 V 470 662 V 470 662 V 470 662 V 471 663 V 471 663 V 471 663 V 472 663 V 472 663 V 472 663 V 473 663 V 473 663 V 473 663 V 474 663 V 474 663 V 474 663 V 475 663 V 475 664 V 476 664 V 476 664 V 476 664 V 477 664 V 477 664 V 477 664 V 478 664 V 478 664 V 478 664 V 479 664 V 479 664 V 479 664 V 480 664 V 480 665 V 481 665 V 481 665 V 481 665 V 482 665 V 482 665 V 482 665 V 483 665 V 483 665 V 484 665 V 484 665 V 484 665 V 485 665 V 485 665 V 485 665 V 486 665 V 486 666 V 486 666 V 487 666 V 487 666 V 488 666 V 488 666 V 488 666 V 489 666 V 489 666 V 490 666 V 490 666 V 490 666 V 491 666 V 491 666 V 491 666 V 492 666 V 492 666 V 493 667 V 493 667 V 493 667 V 494 667 V 494 667 V 495 667 V 495 667 V 495 667 V 496 667 V 496 667 V 496 667 V 497 667 V 497 667 V 498 667 V 498 667 V 498 667 V 499 667 V 499 667 V 500 667 V 500 668 V 500 668 V 501 668 V 501 668 V 502 668 V 502 668 V 502 668 V 503 668 V 503 668 V 504 668 V 504 668 V 504 668 V 505 668 V 505 668 V 506 668 V 506 668 V 506 668 V 507 668 V 507 668 V 508 668 V 508 669 V 508 669 V 509 669 V 509 669 V 510 669 V 510 669 V 511 669 V 511 669 V 511 669 V 512 669 V 512 669 V 513 669 V 513 669 V 513 669 V 514 669 V 514 669 V 515 669 V 515 669 V 516 669 V 516 669 V 516 669 V 517 669 V 517 669 V 518 669 V 518 669 V 519 669 V 519 670 V 519 670 V 520 670 V 520 670 V 521 670 V 521 670 V 522 670 V 522 670 V 522 670 V 523 670 V 523 670 V 524 670 V 524 670 V 525 670 V 525 670 V 525 670 V 526 670 V 526 670 V 527 670 V 527 670 V 528 670 V 528 670 V 528 670 V 529 670 V 529 670 V 530 670 V 530 670 V 531 670 V 531 670 V 532 670 V 532 670 V 532 670 V 533 671 V 533 671 V 534 671 V 534 671 V 535 671 V 535 671 V 536 671 V 536 671 V 536 671 V 537 671 V 537 671 V 538 671 V 538 671 V 539 671 V 539 671 V 540 671 V 540 671 V 541 671 V 541 671 V 541 671 V 542 671 V 542 671 V 543 671 V 543 671 V 544 671 V 544 671 V 545 671 V 545 671 V 546 671 V 546 671 V 547 671 V 547 671 V 547 671 V 548 671 V 548 671 V 549 671 V 549 671 V 550 671 V 550 671 V 551 671 V 551 671 V 552 671 V 552 671 V 553 671 V 553 671 V 554 671 V 554 671 V 555 671 V 555 671 V 555 671 V 556 671 V 556 671 V 557 671 V 557 671 V 558 671 V 558 671 V 559 671 V 559 672 V 560 671 V 560 672 V 561 672 V 561 672 V 562 672 V 562 672 V 563 672 V 563 672 V 564 672 V 564 672 V 565 672 V 565 672 V 566 672 V 566 672 V 567 672 V 567 672 V 568 672 V 568 672 V 569 672 V 569 672 V 570 672 V 570 672 V 571 672 V 571 672 V 572 672 V 572 672 V 573 672 V 476 507 a(prim.)h(rec.)p 672 572 V 672 572 V 672 571 V 672 571 V 672 571 V 672 570 V 672 570 V 672 569 V 672 569 V 672 569 V 672 568 V 672 568 V 672 568 V 672 567 V 672 567 V 672 566 V 672 566 V 672 566 V 672 565 V 672 565 V 673 565 V 673 564 V 673 564 V 673 564 V 673 563 V 673 563 V 673 562 V 673 562 V 673 562 V 673 561 V 673 561 V 673 561 V 673 560 V 673 560 V 673 560 V 673 559 V 673 559 V 673 559 V 673 558 V 673 558 V 673 557 V 674 557 V 674 557 V 674 556 V 674 556 V 674 556 V 674 555 V 674 555 V 674 555 V 674 554 V 674 554 V 674 554 V 674 553 V 674 553 V 674 553 V 675 552 V 675 552 V 675 551 V 675 551 V 675 551 V 675 550 V 675 550 V 675 550 V 675 549 V 675 549 V 675 549 V 676 548 V 676 548 V 676 548 V 676 547 V 676 547 V 676 547 V 676 546 V 676 546 V 676 546 V 677 545 V 677 545 V 677 545 V 677 544 V 677 544 V 677 544 V 677 543 V 677 543 V 678 543 V 678 542 V 678 542 V 678 542 V 678 541 V 678 541 V 678 541 V 678 540 V 679 540 V 679 540 V 679 539 V 679 539 V 679 539 V 679 538 V 680 538 V 680 538 V 680 537 V 680 537 V 680 537 V 680 536 V 680 536 V 681 536 V 681 535 V 681 535 V 681 535 V 681 534 V 681 534 V 682 534 V 682 533 V 682 533 V 682 533 V 682 532 V 682 532 V 683 532 V 683 532 V 683 531 V 683 531 V 683 531 V 684 530 V 684 530 V 684 530 V 684 529 V 684 529 V 685 529 V 685 528 V 685 528 V 685 528 V 685 527 V 686 527 V 686 527 V 686 526 V 686 526 V 686 526 V 687 526 V 687 525 V 687 525 V 687 525 V 687 524 V 688 524 V 688 524 V 688 523 V 688 523 V 689 523 V 689 522 V 689 522 V 689 522 V 689 522 V 690 521 V 690 521 V 690 521 V 690 520 V 691 520 V 691 520 V 691 519 V 691 519 V 692 519 V 692 519 V 692 518 V 692 518 V 693 518 V 693 517 V 693 517 V 693 517 V 694 516 V 694 516 V 694 516 V 694 516 V 695 515 V 695 515 V 695 515 V 695 514 V 696 514 V 696 514 V 696 514 V 697 513 V 697 513 V 697 513 V 697 512 V 698 512 V 698 512 V 698 511 V 699 511 V 699 511 V 699 511 V 699 510 V 700 510 V 700 510 V 700 509 V 701 509 V 701 509 V 701 509 V 701 508 V 702 508 V 702 508 V 702 507 V 703 507 V 703 507 V 703 507 V 704 506 V 704 506 V 704 506 V 705 506 V 705 505 V 705 505 V 706 505 V 706 504 V 706 504 V 707 504 V 707 504 V 707 503 V 708 503 V 708 503 V 708 502 V 709 502 V 709 502 V 709 502 V 710 501 V 710 501 V 710 501 V 711 501 V 711 500 V 711 500 V 712 500 V 712 500 V 712 499 V 713 499 V 713 499 V 713 498 V 714 498 V 714 498 V 714 498 V 715 497 V 715 497 V 716 497 V 716 497 V 716 496 V 717 496 V 717 496 V 717 496 V 718 495 V 718 495 V 719 495 V 719 495 V 719 494 V 720 494 V 720 494 V 720 493 V 721 493 V 721 493 V 722 493 V 722 492 V 722 492 V 723 492 V 723 492 V 724 491 V 724 491 V 724 491 V 725 491 V 725 490 V 726 490 V 726 490 V 726 490 V 727 489 V 727 489 V 728 489 V 728 489 V 729 488 V 729 488 V 729 488 V 730 488 V 730 487 V 731 487 V 731 487 V 731 487 V 732 486 V 732 486 V 733 486 V 733 486 V 734 485 V 734 485 V 735 485 V 735 485 V 735 485 V 736 484 V 736 484 V 737 484 V 737 484 V 738 483 V 738 483 V 739 483 V 739 483 V 739 482 V 740 482 V 740 482 V 741 482 V 741 481 V 742 481 V 742 481 V 743 481 V 743 481 V 744 480 V 744 480 V 745 480 V 745 480 V 746 479 V 746 479 V 746 479 V 747 479 V 747 478 V 748 478 V 748 478 V 749 478 V 749 478 V 750 477 V 750 477 V 751 477 V 751 477 V 752 476 V 752 476 V 753 476 V 753 476 V 754 476 V 754 475 V 755 475 V 755 475 V 756 475 V 756 474 V 757 474 V 757 474 V 758 474 V 758 474 V 759 473 V 760 473 V 760 473 V 761 473 V 761 472 V 762 472 V 762 472 V 763 472 V 763 472 V 764 471 V 764 471 V 765 471 V 765 471 V 766 470 V 766 470 V 767 470 V 768 470 V 768 470 V 769 469 V 769 469 V 770 469 V 770 469 V 771 469 V 771 468 V 772 468 V 773 468 V 773 468 V 774 468 V 774 467 V 775 467 V 775 467 V 776 467 V 776 467 V 777 466 V 778 466 V 778 466 V 779 466 V 779 466 V 780 465 V 780 465 V 781 465 V 782 465 V 782 465 V 783 464 V 783 464 V 784 464 V 785 464 V 785 464 V 786 463 V 786 463 V 787 463 V 788 463 V 788 463 V 789 462 V 789 462 V 790 462 V 791 462 V 791 462 V 792 461 V 792 461 V 793 461 V 794 461 V 794 461 V 795 461 V 795 460 V 796 460 V 797 460 V 797 460 V 798 460 V 799 459 V 799 459 V 800 459 V 800 459 V 801 459 V 802 458 V 802 458 V 803 458 V 804 458 V 804 458 V 805 458 V 806 457 V 806 457 V 807 457 V 808 457 V 808 457 V 809 456 V 809 456 V 810 456 V 811 456 V 811 456 V 812 456 V 813 455 V 813 455 V 814 455 V 815 455 V 815 455 V 816 455 V 817 454 V 817 454 V 818 454 V 819 454 V 819 454 V 820 454 V 821 453 V 821 453 V 822 453 V 823 453 V 824 453 V 824 453 V 825 452 V 826 452 V 826 452 V 827 452 V 828 452 V 828 452 V 829 451 V 830 451 V 830 451 V 831 451 V 832 451 V 833 451 V 833 450 V 834 450 V 835 450 V 835 450 V 836 450 V 837 450 V 838 449 V 838 449 V 839 449 V 840 449 V 840 449 V 841 449 V 842 448 V 843 448 V 843 448 V 844 448 V 845 448 V 846 448 V 846 448 V 847 447 V 848 447 V 849 447 V 849 447 V 850 447 V 851 447 V 852 447 V 852 446 V 853 446 V 854 446 V 855 446 V 855 446 V 856 446 V 857 445 V 858 445 V 858 445 V 859 445 V 860 445 V 861 445 V 861 445 V 862 444 V 863 444 V 864 444 V 864 444 V 865 444 V 866 444 V 867 444 V 868 443 V 868 443 V 869 443 V 870 443 V 871 443 V 871 443 V 872 443 V 873 443 V 874 442 V 875 442 V 875 442 V 876 442 V 877 442 V 878 442 V 879 442 V 879 441 V 880 441 V 881 441 V 882 441 V 883 441 V 883 441 V 884 441 V 885 441 V 886 440 V 887 440 V 888 440 V 888 440 V 889 440 V 890 440 V 891 440 V 892 439 V 892 439 V 893 439 V 894 439 V 895 439 V 896 439 V 897 439 V 897 439 V 898 438 V 899 438 V 900 438 V 901 438 V 902 438 V 903 438 V 903 438 V 904 438 V 905 438 V 906 437 V 907 437 V 908 437 V 908 437 V 909 437 V 910 437 V 911 437 V 912 437 V 913 437 V 914 436 V 915 436 V 915 436 V 916 436 V 917 436 V 918 436 V 919 436 V 920 436 V 921 435 V 922 435 V 922 435 V 923 435 V 924 435 V 925 435 V 926 435 V 927 435 V 928 435 V 929 435 V 930 434 V 930 434 V 931 434 V 932 434 V 933 434 V 934 434 V 935 434 V 936 434 V 937 434 V 938 433 V 939 433 V 939 433 V 940 433 V 941 433 V 942 433 V 943 433 V 944 433 V 945 433 V 946 433 V 947 433 V 948 432 V 949 432 V 950 432 V 950 432 V 951 432 V 952 432 V 953 432 V 954 432 V 955 432 V 956 432 V 957 431 V 958 431 V 959 431 V 960 431 V 961 431 V 962 431 V 963 431 V 964 431 V 965 431 V 966 431 V 967 431 V 968 430 V 968 430 V 969 430 V 970 430 V 971 430 V 972 430 V 973 430 V 974 430 V 975 430 V 976 430 V 977 430 V 978 430 V 979 429 V 980 429 V 981 429 V 982 429 V 983 429 V 984 429 V 985 429 V 986 429 V 987 429 V 988 429 V 989 429 V 990 429 V 991 429 V 992 428 V 993 428 V 994 428 V 995 428 V 996 428 V 997 428 V 998 428 V 999 428 V 1000 428 V 1001 428 V 1002 428 V 1003 428 V 1004 428 V 1005 428 V 1006 428 V 1007 427 V 1008 427 V 1009 427 V 1010 427 V 1011 427 V 1012 427 V 1013 427 V 1014 427 V 1015 427 V 1016 427 V 1017 427 V 1018 427 V 1019 427 V 1021 427 V 1022 427 V 1023 426 V 1024 426 V 1025 426 V 1026 426 V 1027 426 V 1028 426 V 1029 426 V 1030 426 V 1031 426 V 1032 426 V 1033 426 V 1034 426 V 1035 426 V 1036 426 V 1037 426 V 1038 426 V 1040 426 V 1041 426 V 1042 425 V 1043 425 V 1044 425 V 1045 425 V 1046 425 V 1047 425 V 1048 425 V 1049 425 V 1050 425 V 1051 425 V 1052 425 V 1054 425 V 1055 425 V 1056 425 V 1057 425 V 1058 425 V 1059 425 V 1060 425 V 1061 425 V 1062 425 V 1063 425 V 1065 425 V 1066 424 V 1067 424 V 1068 424 V 1069 424 V 1070 424 V 1071 424 V 1072 424 V 1073 424 V 1075 424 V 1076 424 V 1077 424 V 1078 424 V 1079 424 V 1080 424 V 1081 424 V 1082 424 V 1084 424 V 1085 424 V 1086 424 V 1087 424 V 1088 424 V 1089 424 V 1090 424 V 1092 424 V 1093 424 V 1094 424 V 1095 424 V 1096 424 V 1097 423 V 1098 423 V 1100 423 V 1101 423 V 1102 423 V 1103 423 V 1104 423 V 1105 423 V 1106 423 V 1108 423 V 1109 423 V 1110 423 V 1111 423 V 1112 423 V 1113 423 V 1115 423 V 1116 423 V 1117 423 V 1118 423 V 1119 423 V 1121 423 V 1122 423 V 1123 423 V 1124 423 V 1125 423 V 1126 423 V 1128 423 V 1129 423 V 1130 423 V 1131 423 V 1132 423 V 1134 423 V 1135 423 V 1136 423 V 1137 423 V 1138 423 V 1140 423 V 1141 423 V 1142 423 V 1143 423 V 1144 423 V 1146 423 V 1147 423 V 1148 423 V 1149 423 V 1151 423 V 1152 423 V 1153 423 V 1154 423 V 1155 423 V 1157 423 V 1158 423 V 1159 423 V 1160 423 V 1162 423 V 1163 423 V 1164 423 V 1165 423 V 1167 423 V 1168 423 V 1169 423 V 1170 423 V 1668 572 V 1668 572 V 1668 571 V 1668 571 V 1668 571 V 1668 570 V 1668 570 V 1668 569 V 1668 569 V 1668 569 V 1668 568 V 1668 568 V 1668 568 V 1668 567 V 1668 567 V 1668 566 V 1668 566 V 1668 566 V 1668 565 V 1668 565 V 1668 565 V 1668 564 V 1668 564 V 1668 564 V 1668 563 V 1668 563 V 1668 562 V 1668 562 V 1668 562 V 1668 561 V 1668 561 V 1668 561 V 1668 560 V 1668 560 V 1668 560 V 1667 559 V 1667 559 V 1667 559 V 1667 558 V 1667 558 V 1667 557 V 1667 557 V 1667 557 V 1667 556 V 1667 556 V 1667 556 V 1667 555 V 1667 555 V 1667 555 V 1667 554 V 1667 554 V 1666 554 V 1666 553 V 1666 553 V 1666 553 V 1666 552 V 1666 552 V 1666 551 V 1666 551 V 1666 551 V 1666 550 V 1666 550 V 1665 550 V 1665 549 V 1665 549 V 1665 549 V 1665 548 V 1665 548 V 1665 548 V 1665 547 V 1665 547 V 1665 547 V 1664 546 V 1664 546 V 1664 546 V 1664 545 V 1664 545 V 1664 545 V 1664 544 V 1664 544 V 1663 544 V 1663 543 V 1663 543 V 1663 543 V 1663 542 V 1663 542 V 1663 542 V 1663 541 V 1662 541 V 1662 541 V 1662 540 V 1662 540 V 1662 540 V 1662 539 V 1662 539 V 1661 539 V 1661 538 V 1661 538 V 1661 538 V 1661 537 V 1661 537 V 1661 537 V 1660 536 V 1660 536 V 1660 536 V 1660 535 V 1660 535 V 1660 535 V 1659 534 V 1659 534 V 1659 534 V 1659 533 V 1659 533 V 1659 533 V 1658 532 V 1658 532 V 1658 532 V 1658 532 V 1658 531 V 1657 531 V 1657 531 V 1657 530 V 1657 530 V 1657 530 V 1656 529 V 1656 529 V 1656 529 V 1656 528 V 1656 528 V 1655 528 V 1655 527 V 1655 527 V 1655 527 V 1655 526 V 1654 526 V 1654 526 V 1654 526 V 1654 525 V 1654 525 V 1653 525 V 1653 524 V 1653 524 V 1653 524 V 1653 523 V 1652 523 V 1652 523 V 1652 522 V 1652 522 V 1651 522 V 1651 522 V 1651 521 V 1651 521 V 1650 521 V 1650 520 V 1650 520 V 1650 520 V 1650 519 V 1649 519 V 1649 519 V 1649 519 V 1649 518 V 1648 518 V 1648 518 V 1648 517 V 1648 517 V 1647 517 V 1647 516 V 1647 516 V 1646 516 V 1646 516 V 1646 515 V 1646 515 V 1645 515 V 1645 514 V 1645 514 V 1645 514 V 1644 514 V 1644 513 V 1644 513 V 1644 513 V 1643 512 V 1643 512 V 1643 512 V 1642 511 V 1642 511 V 1642 511 V 1642 511 V 1641 510 V 1641 510 V 1641 510 V 1640 509 V 1640 509 V 1640 509 V 1639 509 V 1639 508 V 1639 508 V 1639 508 V 1638 507 V 1638 507 V 1638 507 V 1637 507 V 1637 506 V 1637 506 V 1636 506 V 1636 506 V 1636 505 V 1635 505 V 1635 505 V 1635 504 V 1634 504 V 1634 504 V 1634 504 V 1633 503 V 1633 503 V 1633 503 V 1632 502 V 1632 502 V 1632 502 V 1631 502 V 1631 501 V 1631 501 V 1630 501 V 1630 501 V 1630 500 V 1629 500 V 1629 500 V 1629 500 V 1628 499 V 1628 499 V 1628 499 V 1627 498 V 1627 498 V 1627 498 V 1626 498 V 1626 497 V 1625 497 V 1625 497 V 1625 497 V 1624 496 V 1624 496 V 1624 496 V 1623 496 V 1623 495 V 1623 495 V 1622 495 V 1622 495 V 1621 494 V 1621 494 V 1621 494 V 1620 493 V 1620 493 V 1619 493 V 1619 493 V 1619 492 V 1618 492 V 1618 492 V 1617 492 V 1617 491 V 1617 491 V 1616 491 V 1616 491 V 1615 490 V 1615 490 V 1615 490 V 1614 490 V 1614 489 V 1613 489 V 1613 489 V 1613 489 V 1612 488 V 1612 488 V 1611 488 V 1611 488 V 1610 487 V 1610 487 V 1610 487 V 1609 487 V 1609 486 V 1608 486 V 1608 486 V 1607 486 V 1607 485 V 1607 485 V 1606 485 V 1606 485 V 1605 485 V 1605 484 V 1604 484 V 1604 484 V 1603 484 V 1603 483 V 1603 483 V 1602 483 V 1602 483 V 1601 482 V 1601 482 V 1600 482 V 1600 482 V 1599 481 V 1599 481 V 1598 481 V 1598 481 V 1597 481 V 1597 480 V 1597 480 V 1596 480 V 1596 480 V 1595 479 V 1595 479 V 1594 479 V 1594 479 V 1593 478 V 1593 478 V 1592 478 V 1592 478 V 1591 478 V 1591 477 V 1590 477 V 1590 477 V 1589 477 V 1589 476 V 1588 476 V 1588 476 V 1587 476 V 1587 476 V 1586 475 V 1586 475 V 1585 475 V 1585 475 V 1584 474 V 1584 474 V 1583 474 V 1583 474 V 1582 474 V 1582 473 V 1581 473 V 1581 473 V 1580 473 V 1580 472 V 1579 472 V 1578 472 V 1578 472 V 1577 472 V 1577 471 V 1576 471 V 1576 471 V 1575 471 V 1575 470 V 1574 470 V 1574 470 V 1573 470 V 1573 470 V 1572 469 V 1571 469 V 1571 469 V 1570 469 V 1570 469 V 1569 468 V 1569 468 V 1568 468 V 1568 468 V 1567 468 V 1566 467 V 1566 467 V 1565 467 V 1565 467 V 1564 467 V 1564 466 V 1563 466 V 1562 466 V 1562 466 V 1561 466 V 1561 465 V 1560 465 V 1560 465 V 1559 465 V 1558 465 V 1558 464 V 1557 464 V 1557 464 V 1556 464 V 1555 464 V 1555 463 V 1554 463 V 1554 463 V 1553 463 V 1553 463 V 1552 462 V 1551 462 V 1551 462 V 1550 462 V 1549 462 V 1549 461 V 1548 461 V 1548 461 V 1547 461 V 1546 461 V 1546 461 V 1545 460 V 1545 460 V 1544 460 V 1543 460 V 1543 460 V 1542 459 V 1541 459 V 1541 459 V 1540 459 V 1540 459 V 1539 458 V 1538 458 V 1538 458 V 1537 458 V 1536 458 V 1536 458 V 1535 457 V 1534 457 V 1534 457 V 1533 457 V 1532 457 V 1532 456 V 1531 456 V 1531 456 V 1530 456 V 1529 456 V 1529 456 V 1528 455 V 1527 455 V 1527 455 V 1526 455 V 1525 455 V 1525 455 V 1524 454 V 1523 454 V 1523 454 V 1522 454 V 1521 454 V 1521 454 V 1520 453 V 1519 453 V 1518 453 V 1518 453 V 1517 453 V 1516 453 V 1516 452 V 1515 452 V 1514 452 V 1514 452 V 1513 452 V 1512 452 V 1512 451 V 1511 451 V 1510 451 V 1509 451 V 1509 451 V 1508 451 V 1507 450 V 1507 450 V 1506 450 V 1505 450 V 1505 450 V 1504 450 V 1503 449 V 1502 449 V 1502 449 V 1501 449 V 1500 449 V 1499 449 V 1499 448 V 1498 448 V 1497 448 V 1497 448 V 1496 448 V 1495 448 V 1494 448 V 1494 447 V 1493 447 V 1492 447 V 1491 447 V 1491 447 V 1490 447 V 1489 447 V 1488 446 V 1488 446 V 1487 446 V 1486 446 V 1485 446 V 1485 446 V 1484 445 V 1483 445 V 1482 445 V 1482 445 V 1481 445 V 1480 445 V 1479 445 V 1479 444 V 1478 444 V 1477 444 V 1476 444 V 1475 444 V 1475 444 V 1474 444 V 1473 443 V 1472 443 V 1472 443 V 1471 443 V 1470 443 V 1469 443 V 1468 443 V 1468 443 V 1467 442 V 1466 442 V 1465 442 V 1464 442 V 1464 442 V 1463 442 V 1462 442 V 1461 441 V 1460 441 V 1460 441 V 1459 441 V 1458 441 V 1457 441 V 1456 441 V 1456 441 V 1455 440 V 1454 440 V 1453 440 V 1452 440 V 1451 440 V 1451 440 V 1450 440 V 1449 439 V 1448 439 V 1447 439 V 1447 439 V 1446 439 V 1445 439 V 1444 439 V 1443 439 V 1442 438 V 1442 438 V 1441 438 V 1440 438 V 1439 438 V 1438 438 V 1437 438 V 1436 438 V 1436 438 V 1435 437 V 1434 437 V 1433 437 V 1432 437 V 1431 437 V 1430 437 V 1430 437 V 1429 437 V 1428 437 V 1427 436 V 1426 436 V 1425 436 V 1424 436 V 1424 436 V 1423 436 V 1422 436 V 1421 436 V 1420 435 V 1419 435 V 1418 435 V 1417 435 V 1416 435 V 1416 435 V 1415 435 V 1414 435 V 1413 435 V 1412 435 V 1411 434 V 1410 434 V 1409 434 V 1408 434 V 1408 434 V 1407 434 V 1406 434 V 1405 434 V 1404 434 V 1403 433 V 1402 433 V 1401 433 V 1400 433 V 1399 433 V 1398 433 V 1398 433 V 1397 433 V 1396 433 V 1395 433 V 1394 433 V 1393 432 V 1392 432 V 1391 432 V 1390 432 V 1389 432 V 1388 432 V 1387 432 V 1386 432 V 1385 432 V 1385 432 V 1384 431 V 1383 431 V 1382 431 V 1381 431 V 1380 431 V 1379 431 V 1378 431 V 1377 431 V 1376 431 V 1375 431 V 1374 431 V 1373 430 V 1372 430 V 1371 430 V 1370 430 V 1369 430 V 1368 430 V 1367 430 V 1366 430 V 1365 430 V 1364 430 V 1363 430 V 1362 430 V 1362 429 V 1361 429 V 1360 429 V 1359 429 V 1358 429 V 1357 429 V 1356 429 V 1355 429 V 1354 429 V 1353 429 V 1352 429 V 1351 429 V 1350 429 V 1349 428 V 1348 428 V 1347 428 V 1346 428 V 1345 428 V 1344 428 V 1343 428 V 1342 428 V 1341 428 V 1340 428 V 1339 428 V 1338 428 V 1337 428 V 1336 428 V 1335 428 V 1334 427 V 1333 427 V 1331 427 V 1330 427 V 1329 427 V 1328 427 V 1327 427 V 1326 427 V 1325 427 V 1324 427 V 1323 427 V 1322 427 V 1321 427 V 1320 427 V 1319 427 V 1318 426 V 1317 426 V 1316 426 V 1315 426 V 1314 426 V 1313 426 V 1312 426 V 1311 426 V 1310 426 V 1309 426 V 1308 426 V 1306 426 V 1305 426 V 1304 426 V 1303 426 V 1302 426 V 1301 426 V 1300 426 V 1299 425 V 1298 425 V 1297 425 V 1296 425 V 1295 425 V 1294 425 V 1293 425 V 1291 425 V 1290 425 V 1289 425 V 1288 425 V 1287 425 V 1286 425 V 1285 425 V 1284 425 V 1283 425 V 1282 425 V 1281 425 V 1279 425 V 1278 425 V 1277 425 V 1276 425 V 1275 424 V 1274 424 V 1273 424 V 1272 424 V 1271 424 V 1269 424 V 1268 424 V 1267 424 V 1266 424 V 1265 424 V 1264 424 V 1263 424 V 1262 424 V 1260 424 V 1259 424 V 1258 424 V 1257 424 V 1256 424 V 1255 424 V 1254 424 V 1253 424 V 1251 424 V 1250 424 V 1249 424 V 1248 424 V 1247 424 V 1246 424 V 1245 424 V 1243 423 V 1242 423 V 1241 423 V 1240 423 V 1239 423 V 1238 423 V 1236 423 V 1235 423 V 1234 423 V 1233 423 V 1232 423 V 1231 423 V 1230 423 V 1228 423 V 1227 423 V 1226 423 V 1225 423 V 1224 423 V 1222 423 V 1221 423 V 1220 423 V 1219 423 V 1218 423 V 1217 423 V 1215 423 V 1214 423 V 1213 423 V 1212 423 V 1211 423 V 1209 423 V 1208 423 V 1207 423 V 1206 423 V 1205 423 V 1203 423 V 1202 423 V 1201 423 V 1200 423 V 1199 423 V 1197 423 V 1196 423 V 1195 423 V 1194 423 V 1193 423 V 1191 423 V 1190 423 V 1189 423 V 1188 423 V 1186 423 V 1185 423 V 1184 423 V 1183 423 V 1181 423 V 1180 423 V 1179 423 V 1178 423 V 1177 423 V 1175 423 V 1174 423 V 1173 423 V 1172 423 V 1170 423 V 1668 572 V 1668 572 V 1668 573 V 1668 573 V 1668 574 V 1668 574 V 1668 574 V 1668 575 V 1668 575 V 1668 575 V 1668 576 V 1668 576 V 1668 576 V 1668 577 V 1668 577 V 1668 578 V 1668 578 V 1668 578 V 1668 579 V 1668 579 V 1668 579 V 1668 580 V 1668 580 V 1668 580 V 1668 581 V 1668 581 V 1668 582 V 1668 582 V 1668 582 V 1668 583 V 1668 583 V 1668 583 V 1668 584 V 1668 584 V 1668 584 V 1667 585 V 1667 585 V 1667 586 V 1667 586 V 1667 586 V 1667 587 V 1667 587 V 1667 587 V 1667 588 V 1667 588 V 1667 588 V 1667 589 V 1667 589 V 1667 589 V 1667 590 V 1667 590 V 1666 590 V 1666 591 V 1666 591 V 1666 592 V 1666 592 V 1666 592 V 1666 593 V 1666 593 V 1666 593 V 1666 594 V 1666 594 V 1665 594 V 1665 595 V 1665 595 V 1665 595 V 1665 596 V 1665 596 V 1665 596 V 1665 597 V 1665 597 V 1665 597 V 1664 598 V 1664 598 V 1664 598 V 1664 599 V 1664 599 V 1664 599 V 1664 600 V 1664 600 V 1663 600 V 1663 601 V 1663 601 V 1663 601 V 1663 602 V 1663 602 V 1663 602 V 1663 603 V 1662 603 V 1662 603 V 1662 604 V 1662 604 V 1662 604 V 1662 605 V 1662 605 V 1661 605 V 1661 606 V 1661 606 V 1661 606 V 1661 607 V 1661 607 V 1661 607 V 1660 608 V 1660 608 V 1660 608 V 1660 609 V 1660 609 V 1660 609 V 1659 610 V 1659 610 V 1659 610 V 1659 611 V 1659 611 V 1659 611 V 1658 612 V 1658 612 V 1658 612 V 1658 613 V 1658 613 V 1657 613 V 1657 613 V 1657 614 V 1657 614 V 1657 614 V 1656 615 V 1656 615 V 1656 615 V 1656 616 V 1656 616 V 1655 616 V 1655 617 V 1655 617 V 1655 617 V 1655 618 V 1654 618 V 1654 618 V 1654 619 V 1654 619 V 1654 619 V 1653 619 V 1653 620 V 1653 620 V 1653 620 V 1653 621 V 1652 621 V 1652 621 V 1652 622 V 1652 622 V 1651 622 V 1651 622 V 1651 623 V 1651 623 V 1650 623 V 1650 624 V 1650 624 V 1650 624 V 1650 625 V 1649 625 V 1649 625 V 1649 626 V 1649 626 V 1648 626 V 1648 626 V 1648 627 V 1648 627 V 1647 627 V 1647 628 V 1647 628 V 1646 628 V 1646 628 V 1646 629 V 1646 629 V 1645 629 V 1645 630 V 1645 630 V 1645 630 V 1644 631 V 1644 631 V 1644 631 V 1644 631 V 1643 632 V 1643 632 V 1643 632 V 1642 633 V 1642 633 V 1642 633 V 1642 633 V 1641 634 V 1641 634 V 1641 634 V 1640 635 V 1640 635 V 1640 635 V 1639 635 V 1639 636 V 1639 636 V 1639 636 V 1638 637 V 1638 637 V 1638 637 V 1637 637 V 1637 638 V 1637 638 V 1636 638 V 1636 639 V 1636 639 V 1635 639 V 1635 639 V 1635 640 V 1634 640 V 1634 640 V 1634 640 V 1633 641 V 1633 641 V 1633 641 V 1632 642 V 1632 642 V 1632 642 V 1631 642 V 1631 643 V 1631 643 V 1630 643 V 1630 643 V 1630 644 V 1629 644 V 1629 644 V 1629 645 V 1628 645 V 1628 645 V 1628 645 V 1627 646 V 1627 646 V 1627 646 V 1626 646 V 1626 647 V 1625 647 V 1625 647 V 1625 647 V 1624 648 V 1624 648 V 1624 648 V 1623 648 V 1623 649 V 1623 649 V 1622 649 V 1622 650 V 1621 650 V 1621 650 V 1621 650 V 1620 651 V 1620 651 V 1619 651 V 1619 651 V 1619 652 V 1618 652 V 1618 652 V 1617 652 V 1617 653 V 1617 653 V 1616 653 V 1616 653 V 1615 654 V 1615 654 V 1615 654 V 1614 654 V 1614 655 V 1613 655 V 1613 655 V 1613 655 V 1612 656 V 1612 656 V 1611 656 V 1611 656 V 1610 657 V 1610 657 V 1610 657 V 1609 657 V 1609 658 V 1608 658 V 1608 658 V 1607 658 V 1607 659 V 1607 659 V 1606 659 V 1606 659 V 1605 660 V 1605 660 V 1604 660 V 1604 660 V 1603 660 V 1603 661 V 1603 661 V 1602 661 V 1602 661 V 1601 662 V 1601 662 V 1600 662 V 1600 662 V 1599 663 V 1599 663 V 1598 663 V 1598 663 V 1597 664 V 1597 664 V 1597 664 V 1596 664 V 1596 664 V 1595 665 V 1595 665 V 1594 665 V 1594 665 V 1593 666 V 1593 666 V 1592 666 V 1592 666 V 1591 667 V 1591 667 V 1590 667 V 1590 667 V 1589 667 V 1589 668 V 1588 668 V 1588 668 V 1587 668 V 1587 669 V 1586 669 V 1586 669 V 1585 669 V 1585 669 V 1584 670 V 1584 670 V 1583 670 V 1583 670 V 1582 671 V 1582 671 V 1581 671 V 1581 671 V 1580 671 V 1580 672 V 1579 672 V 1578 672 V 1578 672 V 1577 672 V 1577 673 V 1576 673 V 1576 673 V 1575 673 V 1575 674 V 1574 674 V 1574 674 V 1573 674 V 1573 674 V 1572 675 V 1571 675 V 1571 675 V 1570 675 V 1570 675 V 1569 676 V 1569 676 V 1568 676 V 1568 676 V 1567 676 V 1566 677 V 1566 677 V 1565 677 V 1565 677 V 1564 677 V 1564 678 V 1563 678 V 1562 678 V 1562 678 V 1561 678 V 1561 679 V 1560 679 V 1560 679 V 1559 679 V 1558 679 V 1558 680 V 1557 680 V 1557 680 V 1556 680 V 1555 680 V 1555 681 V 1554 681 V 1554 681 V 1553 681 V 1553 681 V 1552 682 V 1551 682 V 1551 682 V 1550 682 V 1549 682 V 1549 683 V 1548 683 V 1548 683 V 1547 683 V 1546 683 V 1546 684 V 1545 684 V 1545 684 V 1544 684 V 1543 684 V 1543 684 V 1542 685 V 1541 685 V 1541 685 V 1540 685 V 1540 685 V 1539 686 V 1538 686 V 1538 686 V 1537 686 V 1536 686 V 1536 686 V 1535 687 V 1534 687 V 1534 687 V 1533 687 V 1532 687 V 1532 688 V 1531 688 V 1531 688 V 1530 688 V 1529 688 V 1529 688 V 1528 689 V 1527 689 V 1527 689 V 1526 689 V 1525 689 V 1525 689 V 1524 690 V 1523 690 V 1523 690 V 1522 690 V 1521 690 V 1521 690 V 1520 691 V 1519 691 V 1518 691 V 1518 691 V 1517 691 V 1516 692 V 1516 692 V 1515 692 V 1514 692 V 1514 692 V 1513 692 V 1512 693 V 1512 693 V 1511 693 V 1510 693 V 1509 693 V 1509 693 V 1508 693 V 1507 694 V 1507 694 V 1506 694 V 1505 694 V 1505 694 V 1504 694 V 1503 695 V 1502 695 V 1502 695 V 1501 695 V 1500 695 V 1499 695 V 1499 696 V 1498 696 V 1497 696 V 1497 696 V 1496 696 V 1495 696 V 1494 696 V 1494 697 V 1493 697 V 1492 697 V 1491 697 V 1491 697 V 1490 697 V 1489 698 V 1488 698 V 1488 698 V 1487 698 V 1486 698 V 1485 698 V 1485 698 V 1484 699 V 1483 699 V 1482 699 V 1482 699 V 1481 699 V 1480 699 V 1479 699 V 1479 700 V 1478 700 V 1477 700 V 1476 700 V 1475 700 V 1475 700 V 1474 700 V 1473 701 V 1472 701 V 1472 701 V 1471 701 V 1470 701 V 1469 701 V 1468 701 V 1468 702 V 1467 702 V 1466 702 V 1465 702 V 1464 702 V 1464 702 V 1463 702 V 1462 702 V 1461 703 V 1460 703 V 1460 703 V 1459 703 V 1458 703 V 1457 703 V 1456 703 V 1456 704 V 1455 704 V 1454 704 V 1453 704 V 1452 704 V 1451 704 V 1451 704 V 1450 704 V 1449 705 V 1448 705 V 1447 705 V 1447 705 V 1446 705 V 1445 705 V 1444 705 V 1443 705 V 1442 706 V 1442 706 V 1441 706 V 1440 706 V 1439 706 V 1438 706 V 1437 706 V 1436 706 V 1436 706 V 1435 707 V 1434 707 V 1433 707 V 1432 707 V 1431 707 V 1430 707 V 1430 707 V 1429 707 V 1428 708 V 1427 708 V 1426 708 V 1425 708 V 1424 708 V 1424 708 V 1423 708 V 1422 708 V 1421 708 V 1420 709 V 1419 709 V 1418 709 V 1417 709 V 1416 709 V 1416 709 V 1415 709 V 1414 709 V 1413 709 V 1412 710 V 1411 710 V 1410 710 V 1409 710 V 1408 710 V 1408 710 V 1407 710 V 1406 710 V 1405 710 V 1404 710 V 1403 711 V 1402 711 V 1401 711 V 1400 711 V 1399 711 V 1398 711 V 1398 711 V 1397 711 V 1396 711 V 1395 711 V 1394 712 V 1393 712 V 1392 712 V 1391 712 V 1390 712 V 1389 712 V 1388 712 V 1387 712 V 1386 712 V 1385 712 V 1385 712 V 1384 713 V 1383 713 V 1382 713 V 1381 713 V 1380 713 V 1379 713 V 1378 713 V 1377 713 V 1376 713 V 1375 713 V 1374 713 V 1373 714 V 1372 714 V 1371 714 V 1370 714 V 1369 714 V 1368 714 V 1367 714 V 1366 714 V 1365 714 V 1364 714 V 1363 714 V 1362 714 V 1362 715 V 1361 715 V 1360 715 V 1359 715 V 1358 715 V 1357 715 V 1356 715 V 1355 715 V 1354 715 V 1353 715 V 1352 715 V 1351 715 V 1350 715 V 1349 716 V 1348 716 V 1347 716 V 1346 716 V 1345 716 V 1344 716 V 1343 716 V 1342 716 V 1341 716 V 1340 716 V 1339 716 V 1338 716 V 1337 716 V 1336 716 V 1335 717 V 1334 717 V 1333 717 V 1331 717 V 1330 717 V 1329 717 V 1328 717 V 1327 717 V 1326 717 V 1325 717 V 1324 717 V 1323 717 V 1322 717 V 1321 717 V 1320 717 V 1319 717 V 1318 718 V 1317 718 V 1316 718 V 1315 718 V 1314 718 V 1313 718 V 1312 718 V 1311 718 V 1310 718 V 1309 718 V 1308 718 V 1306 718 V 1305 718 V 1304 718 V 1303 718 V 1302 718 V 1301 718 V 1300 719 V 1299 719 V 1298 719 V 1297 719 V 1296 719 V 1295 719 V 1294 719 V 1293 719 V 1291 719 V 1290 719 V 1289 719 V 1288 719 V 1287 719 V 1286 719 V 1285 719 V 1284 719 V 1283 719 V 1282 719 V 1281 719 V 1279 719 V 1278 719 V 1277 719 V 1276 720 V 1275 720 V 1274 720 V 1273 720 V 1272 720 V 1271 720 V 1269 720 V 1268 720 V 1267 720 V 1266 720 V 1265 720 V 1264 720 V 1263 720 V 1262 720 V 1260 720 V 1259 720 V 1258 720 V 1257 720 V 1256 720 V 1255 720 V 1254 720 V 1253 720 V 1251 720 V 1250 720 V 1249 720 V 1248 720 V 1247 720 V 1246 721 V 1245 721 V 1243 721 V 1242 721 V 1241 721 V 1240 721 V 1239 721 V 1238 721 V 1236 721 V 1235 721 V 1234 721 V 1233 721 V 1232 721 V 1231 721 V 1230 721 V 1228 721 V 1227 721 V 1226 721 V 1225 721 V 1224 721 V 1222 721 V 1221 721 V 1220 721 V 1219 721 V 1218 721 V 1217 721 V 1215 721 V 1214 721 V 1213 721 V 1212 721 V 1211 721 V 1209 721 V 1208 721 V 1207 721 V 1206 721 V 1205 721 V 1203 721 V 1202 721 V 1201 721 V 1200 721 V 1199 721 V 1197 721 V 1196 721 V 1195 721 V 1194 721 V 1193 721 V 1191 721 V 1190 721 V 1189 721 V 1188 721 V 1186 721 V 1185 721 V 1184 721 V 1183 721 V 1181 721 V 1180 721 V 1179 721 V 1178 721 V 1177 721 V 1175 721 V 1174 721 V 1173 721 V 1172 721 V 1170 721 V 672 572 V 672 572 V 672 573 V 672 573 V 672 574 V 672 574 V 672 574 V 672 575 V 672 575 V 672 575 V 672 576 V 672 576 V 672 576 V 672 577 V 672 577 V 672 578 V 672 578 V 672 578 V 672 579 V 672 579 V 673 579 V 673 580 V 673 580 V 673 580 V 673 581 V 673 581 V 673 582 V 673 582 V 673 582 V 673 583 V 673 583 V 673 583 V 673 584 V 673 584 V 673 584 V 673 585 V 673 585 V 673 586 V 673 586 V 673 586 V 673 587 V 674 587 V 674 587 V 674 588 V 674 588 V 674 588 V 674 589 V 674 589 V 674 589 V 674 590 V 674 590 V 674 590 V 674 591 V 674 591 V 674 592 V 675 592 V 675 592 V 675 593 V 675 593 V 675 593 V 675 594 V 675 594 V 675 594 V 675 595 V 675 595 V 675 595 V 676 596 V 676 596 V 676 596 V 676 597 V 676 597 V 676 597 V 676 598 V 676 598 V 676 598 V 677 599 V 677 599 V 677 599 V 677 600 V 677 600 V 677 600 V 677 601 V 677 601 V 678 601 V 678 602 V 678 602 V 678 602 V 678 603 V 678 603 V 678 603 V 678 604 V 679 604 V 679 604 V 679 605 V 679 605 V 679 605 V 679 606 V 680 606 V 680 606 V 680 607 V 680 607 V 680 607 V 680 608 V 680 608 V 681 608 V 681 609 V 681 609 V 681 609 V 681 610 V 681 610 V 682 610 V 682 611 V 682 611 V 682 611 V 682 612 V 682 612 V 683 612 V 683 613 V 683 613 V 683 613 V 683 613 V 684 614 V 684 614 V 684 614 V 684 615 V 684 615 V 685 615 V 685 616 V 685 616 V 685 616 V 685 617 V 686 617 V 686 617 V 686 618 V 686 618 V 686 618 V 687 619 V 687 619 V 687 619 V 687 619 V 687 620 V 688 620 V 688 620 V 688 621 V 688 621 V 689 621 V 689 622 V 689 622 V 689 622 V 689 622 V 690 623 V 690 623 V 690 623 V 690 624 V 691 624 V 691 624 V 691 625 V 691 625 V 692 625 V 692 626 V 692 626 V 692 626 V 693 626 V 693 627 V 693 627 V 693 627 V 694 628 V 694 628 V 694 628 V 694 628 V 695 629 V 695 629 V 695 629 V 695 630 V 696 630 V 696 630 V 696 631 V 697 631 V 697 631 V 697 631 V 697 632 V 698 632 V 698 632 V 698 633 V 699 633 V 699 633 V 699 633 V 699 634 V 700 634 V 700 634 V 700 635 V 701 635 V 701 635 V 701 635 V 701 636 V 702 636 V 702 636 V 702 637 V 703 637 V 703 637 V 703 637 V 704 638 V 704 638 V 704 638 V 705 639 V 705 639 V 705 639 V 706 639 V 706 640 V 706 640 V 707 640 V 707 640 V 707 641 V 708 641 V 708 641 V 708 642 V 709 642 V 709 642 V 709 642 V 710 643 V 710 643 V 710 643 V 711 643 V 711 644 V 711 644 V 712 644 V 712 645 V 712 645 V 713 645 V 713 645 V 713 646 V 714 646 V 714 646 V 714 646 V 715 647 V 715 647 V 716 647 V 716 647 V 716 648 V 717 648 V 717 648 V 717 648 V 718 649 V 718 649 V 719 649 V 719 650 V 719 650 V 720 650 V 720 650 V 720 651 V 721 651 V 721 651 V 722 651 V 722 652 V 722 652 V 723 652 V 723 652 V 724 653 V 724 653 V 724 653 V 725 653 V 725 654 V 726 654 V 726 654 V 726 654 V 727 655 V 727 655 V 728 655 V 728 655 V 729 656 V 729 656 V 729 656 V 730 656 V 730 657 V 731 657 V 731 657 V 731 657 V 732 658 V 732 658 V 733 658 V 733 658 V 734 659 V 734 659 V 735 659 V 735 659 V 735 660 V 736 660 V 736 660 V 737 660 V 737 660 V 738 661 V 738 661 V 739 661 V 739 661 V 739 662 V 740 662 V 740 662 V 741 662 V 741 663 V 742 663 V 742 663 V 743 663 V 743 664 V 744 664 V 744 664 V 745 664 V 745 664 V 746 665 V 746 665 V 746 665 V 747 665 V 747 666 V 748 666 V 748 666 V 749 666 V 749 667 V 750 667 V 750 667 V 751 667 V 751 667 V 752 668 V 752 668 V 753 668 V 753 668 V 754 669 V 754 669 V 755 669 V 755 669 V 756 669 V 756 670 V 757 670 V 757 670 V 758 670 V 758 671 V 759 671 V 760 671 V 760 671 V 761 671 V 761 672 V 762 672 V 762 672 V 763 672 V 763 672 V 764 673 V 764 673 V 765 673 V 765 673 V 766 674 V 766 674 V 767 674 V 768 674 V 768 674 V 769 675 V 769 675 V 770 675 V 770 675 V 771 675 V 771 676 V 772 676 V 773 676 V 773 676 V 774 676 V 774 677 V 775 677 V 775 677 V 776 677 V 776 677 V 777 678 V 778 678 V 778 678 V 779 678 V 779 678 V 780 679 V 780 679 V 781 679 V 782 679 V 782 679 V 783 680 V 783 680 V 784 680 V 785 680 V 785 680 V 786 681 V 786 681 V 787 681 V 788 681 V 788 681 V 789 682 V 789 682 V 790 682 V 791 682 V 791 682 V 792 683 V 792 683 V 793 683 V 794 683 V 794 683 V 795 684 V 795 684 V 796 684 V 797 684 V 797 684 V 798 684 V 799 685 V 799 685 V 800 685 V 800 685 V 801 685 V 802 686 V 802 686 V 803 686 V 804 686 V 804 686 V 805 686 V 806 687 V 806 687 V 807 687 V 808 687 V 808 687 V 809 688 V 809 688 V 810 688 V 811 688 V 811 688 V 812 688 V 813 689 V 813 689 V 814 689 V 815 689 V 815 689 V 816 689 V 817 690 V 817 690 V 818 690 V 819 690 V 819 690 V 820 690 V 821 691 V 821 691 V 822 691 V 823 691 V 824 691 V 824 692 V 825 692 V 826 692 V 826 692 V 827 692 V 828 692 V 828 693 V 829 693 V 830 693 V 830 693 V 831 693 V 832 693 V 833 693 V 833 694 V 834 694 V 835 694 V 835 694 V 836 694 V 837 694 V 838 695 V 838 695 V 839 695 V 840 695 V 840 695 V 841 695 V 842 696 V 843 696 V 843 696 V 844 696 V 845 696 V 846 696 V 846 696 V 847 697 V 848 697 V 849 697 V 849 697 V 850 697 V 851 697 V 852 698 V 852 698 V 853 698 V 854 698 V 855 698 V 855 698 V 856 698 V 857 699 V 858 699 V 858 699 V 859 699 V 860 699 V 861 699 V 861 699 V 862 700 V 863 700 V 864 700 V 864 700 V 865 700 V 866 700 V 867 700 V 868 701 V 868 701 V 869 701 V 870 701 V 871 701 V 871 701 V 872 701 V 873 702 V 874 702 V 875 702 V 875 702 V 876 702 V 877 702 V 878 702 V 879 702 V 879 703 V 880 703 V 881 703 V 882 703 V 883 703 V 883 703 V 884 703 V 885 704 V 886 704 V 887 704 V 888 704 V 888 704 V 889 704 V 890 704 V 891 704 V 892 705 V 892 705 V 893 705 V 894 705 V 895 705 V 896 705 V 897 705 V 897 705 V 898 706 V 899 706 V 900 706 V 901 706 V 902 706 V 903 706 V 903 706 V 904 706 V 905 706 V 906 707 V 907 707 V 908 707 V 908 707 V 909 707 V 910 707 V 911 707 V 912 707 V 913 708 V 914 708 V 915 708 V 915 708 V 916 708 V 917 708 V 918 708 V 919 708 V 920 708 V 921 709 V 922 709 V 922 709 V 923 709 V 924 709 V 925 709 V 926 709 V 927 709 V 928 709 V 929 710 V 930 710 V 930 710 V 931 710 V 932 710 V 933 710 V 934 710 V 935 710 V 936 710 V 937 710 V 938 711 V 939 711 V 939 711 V 940 711 V 941 711 V 942 711 V 943 711 V 944 711 V 945 711 V 946 711 V 947 712 V 948 712 V 949 712 V 950 712 V 950 712 V 951 712 V 952 712 V 953 712 V 954 712 V 955 712 V 956 712 V 957 713 V 958 713 V 959 713 V 960 713 V 961 713 V 962 713 V 963 713 V 964 713 V 965 713 V 966 713 V 967 713 V 968 714 V 968 714 V 969 714 V 970 714 V 971 714 V 972 714 V 973 714 V 974 714 V 975 714 V 976 714 V 977 714 V 978 714 V 979 715 V 980 715 V 981 715 V 982 715 V 983 715 V 984 715 V 985 715 V 986 715 V 987 715 V 988 715 V 989 715 V 990 715 V 991 715 V 992 716 V 993 716 V 994 716 V 995 716 V 996 716 V 997 716 V 998 716 V 999 716 V 1000 716 V 1001 716 V 1002 716 V 1003 716 V 1004 716 V 1005 716 V 1006 717 V 1007 717 V 1008 717 V 1009 717 V 1010 717 V 1011 717 V 1012 717 V 1013 717 V 1014 717 V 1015 717 V 1016 717 V 1017 717 V 1018 717 V 1019 717 V 1021 717 V 1022 717 V 1023 718 V 1024 718 V 1025 718 V 1026 718 V 1027 718 V 1028 718 V 1029 718 V 1030 718 V 1031 718 V 1032 718 V 1033 718 V 1034 718 V 1035 718 V 1036 718 V 1037 718 V 1038 718 V 1040 718 V 1041 719 V 1042 719 V 1043 719 V 1044 719 V 1045 719 V 1046 719 V 1047 719 V 1048 719 V 1049 719 V 1050 719 V 1051 719 V 1052 719 V 1054 719 V 1055 719 V 1056 719 V 1057 719 V 1058 719 V 1059 719 V 1060 719 V 1061 719 V 1062 719 V 1063 719 V 1065 720 V 1066 720 V 1067 720 V 1068 720 V 1069 720 V 1070 720 V 1071 720 V 1072 720 V 1073 720 V 1075 720 V 1076 720 V 1077 720 V 1078 720 V 1079 720 V 1080 720 V 1081 720 V 1082 720 V 1084 720 V 1085 720 V 1086 720 V 1087 720 V 1088 720 V 1089 720 V 1090 720 V 1092 720 V 1093 720 V 1094 720 V 1095 721 V 1096 721 V 1097 721 V 1098 721 V 1100 721 V 1101 721 V 1102 721 V 1103 721 V 1104 721 V 1105 721 V 1106 721 V 1108 721 V 1109 721 V 1110 721 V 1111 721 V 1112 721 V 1113 721 V 1115 721 V 1116 721 V 1117 721 V 1118 721 V 1119 721 V 1121 721 V 1122 721 V 1123 721 V 1124 721 V 1125 721 V 1126 721 V 1128 721 V 1129 721 V 1130 721 V 1131 721 V 1132 721 V 1134 721 V 1135 721 V 1136 721 V 1137 721 V 1138 721 V 1140 721 V 1141 721 V 1142 721 V 1143 721 V 1144 721 V 1146 721 V 1147 721 V 1148 721 V 1149 721 V 1151 721 V 1152 721 V 1153 721 V 1154 721 V 1155 721 V 1157 721 V 1158 721 V 1159 721 V 1160 721 V 1162 721 V 1163 721 V 1164 721 V 1165 721 V 1167 721 V 1168 721 V 1169 721 V 1170 721 V 998 458 a(mon.)f(ma)s(jorizable)893 349 y Fj(\017)935 354 y Fq(Ext)-12 873 y(Here)h Fj(\017)f Fq(denotes)g(the)g(Dialectica)i(in) o(terpretation)e(of)g(the)g(extensionalit)o(y)i(axiom.)-12 1024 y Fm(References)-12 1134 y Fq([1])22 b(Marc)13 b(Bezem.)18 b(Compact)13 b(and)g(ma)s(jorizable)h(functionals)h(of)e(\014nite)i(t)o (yp)q(e.)i Fk(The)d(Journal)h(of)g(Symb)n(olic)59 1190 y(L)n(o)n(gic)p Fq(,)f(54\(1\):271{2)o(80,)e(Marc)o(h)i(1989.)-12 1284 y([2])22 b(Anne)12 b(S.)g(T)l(ro)q(elstra)f(\(editor\).)j Fk(Metamathematic)n(al)f(Investigation)e(of)j(Intuitionistic)d(A)o (rithmetic)i(and)59 1341 y(A)o(nalysis)p Fq(,)e(v)o(olume)i(344)f(of)g Fk(L)n(e)n(ctur)n(e)h(Notes)g(in)h(Mathematics)p Fq(.)h(Springer)f(V)l (erlag,)f(Berlin,)h(Heidelb)q(erg,)59 1397 y(New)h(Y)l(ork,)g(1973.)-12 1491 y([3])22 b(Viggo)c(Stolten)o(b)q(erg-Hansen,)j(Edw)o(ard)d (Gri\013or,)g(and)h(Ingrid)h(Lindstr\177)-23 b(om.)31 b Fk(Mathematic)n(al)20 b(The)n(ory)59 1547 y(of)g(Domains)p Fq(.)33 b(Cam)o(bridge)19 b(T)l(racts)g(in)i(Theoretical)f(Computer)f (Science.)i(Cam)o(bridge)f(Univ)o(ersit)o(y)59 1604 y(Press,)14 b(1994.)-12 1698 y([4])22 b(Jaco)g(v)m(an)g(de)g(P)o(ol.)39 b(T)l(ermination)22 b(pro)q(ofs)f(for)h(higher{order)g(rewrite)f (systems.)39 b(In)22 b(J.)g(Heering,)59 1754 y(K.)f(Meink)o(e,)j(B.)d (M\177)-23 b(oller,)23 b(and)f(T.)f(Nipk)o(o)o(w,)h(editors,)h Fk(Higher{Or)n(der)g(A)o(lgebr)n(a,)f(L)n(o)n(gic)f(and)h(T)m(erm)59 1810 y(R)n(ewriting)c(\(HO)o(A)f('93\))p Fq(,)h(v)o(olume)g(816)f(of)g Fk(L)n(e)n(ctur)n(e)h(Notes)g(in)g(Computer)h(Scienc)n(e)p Fq(,)d(pages)i(305{325.)59 1867 y(Springer)e(V)l(erlag,)f(Berlin,)i (Heidelb)q(erg,)g(New)e(Y)l(ork,)g(1994.)-12 1961 y([5])22 b(Jaco)15 b(v)m(an)h(de)g(P)o(ol)g(and)g(Helm)o(ut)g(Sc)o(h)o(wic)o(h)o (ten)o(b)q(erg.)22 b(Strict)15 b(functionals)i(for)e(termination)h(pro) q(ofs.)21 b(In)59 2017 y(M.)f(Dezani-Ciancaglini)j(and)e(G.)e(Plotkin,) j(editors,)g Fk(T)m(yp)n(e)n(d)e(L)n(amb)n(da)g(Calculi)h(and)g(Applic) n(ations)p Fq(,)59 2074 y(v)o(olume)15 b(902)f(of)g Fk(L)n(e)n(ctur)n (e)h(Notes)g(in)h(Computer)g(Scienc)n(e)p Fq(,)d(pages)h(350{364.)f (Springer)i(V)l(erlag,)g(Berlin,)59 2130 y(Heidelb)q(erg,)i(New)e(Y)l (ork,)g(1995.)910 3042 y(6)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF