ÿWPC%Š ža NduØ}߬ÂZ-­ÁÒ~×Ü¿ÂP`…ò$®+Fä#h15`_¼$±˜w™¦M‡$KáH_—ÿ´ÕB‚D“tûK`°Üm±~ÖÇЋã1XÁðXGî¤sdÜ&[ ÿߎ¥8‘ÃZæVüréV·öž·ï~¡†óü?ΕøRÄœ*¾%úMÖvˆŠC)IÂ2»[@ËÖn@, DB AQpK 0DÁKÁKAL BFN 0DcN 1u§N¨O D+ÄP 0KïP 0D:Q D3~Q~Q~Q‚±Q,3S 0N_S A ­S­S­SMJT B—V@ ´Vo·¾VáugÕViViViï+kldlMƒmƒmƒmƒmƒm¹Ðnʼnp‰pSNqNqNq¡s¡s¡s¡sM¾unÂu 010w 0=aw 0Èžw 0>fx 0ʤx 0´ny 0´"z 0aÖz 0´7{ 0´ë{ 09Ÿ| 0ÜØ| 02´} 0üæ} 0:â~ 0… 0_¡ 0 € 0k  0Çu‚ B*<„ D3f„ C™„ 0dz„ 0çz† 06a‡ 0—‡ 0:Ÿˆ 0hÙˆ 0FA‰U6‡‰U>½‰U*û‰˜0(ÖÃ9 Z‹6Times New Roman Regular%($¡¡ ÂÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú1Ú  ÚóóÝ  ÝÔ_Ô€Note€that€there€is€a€third€possibility,€which€is€that€behavior€would€vary€because€of€selection€effects€amongÐ ° Ðthe€group€members€who€gravitate€to€different€locales.€€For€purposes€of€this€discussion,€I€conflate€the€two€sorts€ofÏcontextual€patterns€ð!ð€the€push€vs.€the€pull€of€the€environment€ð!ð€under€the€umbrella€label€of€ð ðcontextual€research.ðð€ÏDistinguishing€them€is€difficult€to€impossible€with€cross„sectional€data,€although€greater€insight€might€be€gainedÏfrom€a€dynamic€approach€to€inference€that€incorporated€variation€across€time€(see€Chapter€10€[Quinn]).(3¯$§§Ý ƒ!ÝÝ  Ý´¡è.Æ TGDUG VGUWGXGDYGDZGÀ[GÀ\G]G)ŸÞ.yFiles3|x]G'ÿU‹ÿÀÀÀ((õž$¤¤Ô€ô»æõõôÔà  àòòÚ  Ú0Ú  Úóó(#Ã$òòÚ  Ú0Ú  ÚóóWMùÿ -°, dcÿÿ gÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú27Ú  ÚóóÝ  ÝÔ_Ô€Kingððs€book€(1997,€23)€briefly€used€my€1990€Louisiana€data,€so€I€decided€to€explore€the€1991€figures.€€TheyÐ ° Ðcome€after€the€rapid€mobilization€of€voters€during€former€Klansman€David€Dukeððs€1991€gubernatorial€candidacy. ÊÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú33Ú  ÚóóÝ  ÝÔ_Ô€Producing€the€lower€bounds€required€estimating€white€and€black€turnout€first.€€But€the€need€for€turnoutÐ ° Ðestimates€cannot€be€the€primary€reason€why€I€get€disappointing€results€for€exit„poll€data.€€The€polls€performÏespecially€badly€in€districts€for€which€ecological€inference€must€get€very€good€estimates€of€white€behavior. ×Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú10Ú  ÚóóÝ  ÝÔ_Ô€The€subtitle€quotes€a€question€I€was€asked€while€presenting€Kingððs€method€at€a€conference€workshop.€€IÐ ° Ðthink€it€encapsulates€how€practitioners€initially€evaluate€the€start„up€costs€necessary€to€learn€a€method.€€They€mayÏnot€weigh€the€methodological€critiques€themselves,€assuming€that€ð ðwhere€thereððs€smoke€thereððs€fire.ðð êÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú9Ú  ÚóóÝ  ÝÔ_Ô€I€should€note€that,€strictly€speaking,€this€plot€does€not€simply€contain€deterministic€information.€€GeorgiaÐ ° Ðdoes€not€track€turnout€by€race,€so€I€conducted€a€previous€stage€of€Ô_ÔEIÔ_Ô€to€estimate€the€proportion€of€voters€who€wereÏblack.€€No€assumptions€about€party€preference€by€race€were€required€to€produce€the€figure,€though..È!G ™ Z‹2SymbolProp BT Regular2´Â,áC:\files\text\Research\eiconf\GA2BIAS.PS ÙÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú23Ú  ÚóóÝ  ÝÔ_Ô€I€am€talking€about€estimation€error€here,€not€measurement€error,€which€may€be€present€to€some€degree. 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FontNames exch get findfont [ FSX CurFont get FSXN mul FSXD div PX mul SX div 0 0 FSY CurFont get FSYN mul FSYD div PY mul SY div 0 0 ] makefont setfont }bind def %--------------------------------------------------------------------- % xn xd yn yd SFX % SetFontScale %--------------------------------------------------------------------- /SFX { /FSYD exch def /FSYN exch def /FSXD exch def /FSXN exch def CurFont SCF }bind def %--------------------------------------------------------------------- % [ f1 f2 f3 f4 f5 f6 f7 ] SFNS % SetFontNames %--------------------------------------------------------------------- /SFNS { /FontNames exch def }bind def %--------------------------------------------------------------------- % [7 xsizes] [7 ysizes] SFZ % SetFontSizes %--------------------------------------------------------------------- /SFSZ { /FSY exch def /FSX exch def }bind def %--------------------------------------------------------------------- % px py SPS % SetPageSize %--------------------------------------------------------------------- /SPS { /PY exch def /PX exch def }bind def %--------------------------------------------------------------------- % x y color Pix % SetPixel 1-Pixel = 1/300" pixel! %--------------------------------------------------------------------- /Pix { gsave % SCC moveto % set color & position 1 setlinewidth [] 0 setdash % set attributes 1 0 rlineto stroke % do it! grestore % } bind def %--------------------------------------------------------------------- % x1 x2 y2 y2 Ln % Line %--------------------------------------------------------------------- /Ln { gs np 4 -2 roll m l st gr } bind def %--------------------------------------------------------------------- % x1 y1 x2 y2 flag Rect (flag: 1-outline,2-fill,3-both) %--------------------------------------------------------------------- /Rect { /FillFlag exch def gs np DrawRect FillArea OutLine gr } bind def %--------------------------------------------------------------------- % x1 y1 x2 y2 x3 y3 .... flag PolyF % PolyFill - fill current path %--------------------------------------------------------------------- /PolyF { /FillFlag exch def gs closepath FillArea OutLine gr } bind def %--------------------------------------------------------------------- % x1 y1 x2 y2 ClipR % ClipRect %--------------------------------------------------------------------- /ClipR { cxy 6 2 roll % cx cy x1 y1 x2 y2 gr gs 0 setlinewidth np DrawRect eoclip np m %-- Reset graphics state LineWidth SLW LineColor SLC FSXN FSXD FSYN FSYD SFX CurFont SCF LineStyle 0 setdash } bind def %-PRIVATE------------------------------------------------------------- % x1 y1 x2 y2 DrawRect %--------------------------------------------------------------------- /DrawRect { 3 in 3 in moveto 1 in 3 in lineto 3 in 1 in 4 -2 roll lineto lineto pop pop closepath % lineto } bind def %-PRIVATE------------------------------------------------------------- % xc yc sa ea rx ry DrawArc %--------------------------------------------------------------------- /DrawArc { /savematrix matrix currentmatrix def 6 -2 roll translate scale 0 0 1 5 -2 roll 1 -1 scale arc 1 -1 scale savematrix setmatrix }bind def %--------------------------------------------------------------------- % xc yc sa ea rx ry Arc %--------------------------------------------------------------------- /Arc { gs np DrawArc [] 0 sd st gr } bind def %--------------------------------------------------------------------- % xc yc sa ea rx ry flag Pie (flag: 1-Outline,2-Fill,3-Both) %--------------------------------------------------------------------- /Pie { /FillFlag exch def gs np 6 -2 roll 2 copy 2 copy m 8 4 roll DrawArc cp FillArea OutLine gr } bind def %--------------------------------------------------------------------- % xc yc rx ry flag ELLIPSE (flag: 1-Outline,2-Fill,3-Both) %--------------------------------------------------------------------- /Ellipse { /FillFlag exch def gs np 0 360 4 2 roll DrawArc FillArea OutLine gr }bind def %-PRIVATE------------------------------------------------------------- % OutLine %--------------------------------------------------------------------- /OutLine { FillFlag 1 and 1 eq { [] 0 sd LineColor SCC st }if }bind def %-PRIVATE------------------------------------------------------------- % FillArea - fills current path %--------------------------------------------------------------------- /FillArea { FillFlag 2 and 2 eq { gs ; eoclip clippath AreaColor SCC PatternFill gr }if }bind def %-PRIVATE------------------------------------------------------------- % PatternFill %--------------------------------------------------------------------- /PatternFill { /psize 8 PatSize mul def /FillFont findfont psize scalefont setfont % set Pattern font FillChar 0 FillStyle PatChar add put % fill char index FillMode 1 eq { gsave 1 setgray fill grestore }if % erase background pathbbox % llx lly urx ury newpath ceiling cvi /fy2 exch def ceiling cvi /fx2 exch def cvi 7 not and /fy1 exch def cvi 7 not and /fx1 exch def fx2 fx1 sub psize div ceiling cvi /fwidth exch def fy1 psize fy2 % { % fx1 exch moveto % fwidth { FillChar show } repeat % } for % } bind def %--------------------------------------------------------------------- % savePGL %--------------------------------------------------------------------- /savePGL{ /saveObj save def }bind def %--------------------------------------------------------------------- % #copies newPage %--------------------------------------------------------------------- /newPage{ /#copies exch def showpage saveObj restore /#copies 1 def }bind def %---------------------------------------------------------------------- % x,y,npixels bmRow % Bitmap row data, 1 row at a time... %---------------------------------------------------------------------- /bmRow { /bmPixels exch def /bmY exch def /bmX exch def currentpoint stroke moveto % save x,y stroke and moveto gsave % save graphics state 1 setlinewidth % linewidth 0 setlinecap % but cap [] 0 setdash % solid style bmX .5 add bmY .5 add moveto % move to start of row % % Read & decompress a whole row of pixel color data via RLE % currentfile rleFlag readhexstring pop 0 get 1 eq { /cumBytes 0 def { currentfile rleStr readhexstring pop dup 0 get 1 add exch % count rleStr 1 get SCC % count dup % dup count 0 rlineto % draw currentpoint stroke moveto /cumBytes exch cumBytes add def cumBytes bmPixels ge { exit } if }loop }{ 1 1 bmPixels { pop currentfile bmStr readhexstring pop 0 get SCC 1 0 rlineto currentpoint stroke moveto }for }ifelse grestore }bind def %---------------------------------------------------------------------- % DPI PMAXX PMAXY PageHght TopMgn LftMgn LandFlag ColorModel initPGL %---------------------------------------------------------------------- /initPGL { %---Page Constants /ColorModel exch def /LandFlag exch def /LeftMgn exch def /TopMgn exch def /PageHeight exch def /PY exch def /PX exch def %---Select/Set Color model /ColorMap ColorChoices ColorModel get def % default colors=b&w %---Save state & set output res savePGL %---Set output res scaling, dpi on stack(300?) /dpiRes exch def % dots per inch /dphiRes dpiRes 100 div def % pots per 1/100 inches (hinches) 72 dpiRes div dup scale %---Set coordinate origin, & dir LandFlag 1 ne { % Portrait Setup LeftMgn dphiRes mul PageHeight TopMgn sub dphiRes mul }{ % Landscape Setup 90 rotate LeftMgn dphiRes mul TopMgn dphiRes mul neg }ifelse translate 1 -1 scale %---Adjust font scale factor sizes, relative to 5000x5000 0 1 6 { dup FSX exch get 4999 PX div mul FSX 3 1 roll put } for 0 1 6 { dup FSY exch get 4999 PY div mul FSY 3 1 roll put } for %---Set default graphics state np 0 0 m 1 SLC 1 SLW [] 0 SLS 1 1 1 1 SFX 0 SCF <0000000000000000> SUF 10 setmiterlimit 0 setlinejoin 1 setlinecap gs % save for clipping xs 0 0 PX PY ClipR }bind def %%EndProlog %%Page: 1 1 300 2999 2247 1100 50 50 1 0 initPGL 0 SCF [] 0 SLS 1 SLW SUF 1 SFC 1 SFS 1 SFC 1 SFM 0 0 2999 2247 ClipR 0 0 2999 2247 ClipR xs 1 SLC [] 0 SLS 1 SLW xs 0 SLC 1 SLW xs 15 SLC 1005 301 1005 1938 Ln 2669 301 2669 1938 Ln 1005 301 1005 1938 Ln 2670 301 2670 1938 Ln 1004 299 1004 1938 Ln 2671 299 2671 1938 Ln 1003 299 1003 1938 Ln 2671 299 2671 1938 Ln 1003 298 1003 1938 Ln 2672 298 2672 1938 Ln 1005 383 990 383 Ln 2669 383 2684 383 Ln 1005 464 990 464 Ln 2669 464 2684 464 Ln 1005 545 990 545 Ln 2669 545 2684 545 Ln 1005 627 990 627 Ln 2669 627 2684 627 Ln 1005 301 982 301 Ln 2669 301 2693 301 Ln 937 247 935 241 Ln 935 241 928 237 Ln 928 237 919 235 Ln 919 235 913 235 Ln 913 235 903 237 Ln 903 237 897 241 Ln 897 241 895 247 Ln 895 247 895 251 Ln 895 251 897 256 Ln 897 256 903 260 Ln 903 260 913 262 Ln 913 262 919 262 Ln 919 262 928 260 Ln 928 260 935 256 Ln 935 256 937 251 Ln 937 251 937 247 Ln 937 247 935 242 Ln 935 242 933 241 Ln 933 241 928 239 Ln 928 239 919 237 Ln 919 237 913 237 Ln 913 237 903 239 Ln 903 239 898 241 Ln 898 241 897 242 Ln 897 242 895 247 Ln 895 251 897 254 Ln 897 254 898 256 Ln 898 256 903 259 Ln 903 259 913 260 Ln 913 260 919 260 Ln 919 260 928 259 Ln 928 259 933 256 Ln 933 256 935 254 Ln 935 254 937 251 Ln 898 280 897 278 Ln 897 278 895 280 Ln 895 280 897 281 Ln 897 281 898 280 Ln 937 310 935 303 Ln 935 303 928 299 Ln 928 299 919 298 Ln 919 298 913 298 Ln 913 298 903 299 Ln 903 299 897 303 Ln 897 303 895 310 Ln 895 310 895 313 Ln 895 313 897 319 Ln 897 319 903 323 Ln 903 323 913 325 Ln 913 325 919 325 Ln 919 325 928 323 Ln 928 323 935 319 Ln 935 319 937 313 Ln 937 313 937 310 Ln 937 310 935 305 Ln 935 305 933 303 Ln 933 303 928 302 Ln 928 302 919 299 Ln 919 299 913 299 Ln 913 299 903 302 Ln 903 302 898 303 Ln 898 303 897 305 Ln 897 305 895 310 Ln 895 313 897 317 Ln 897 317 898 319 Ln 898 319 903 321 Ln 903 321 913 323 Ln 913 323 919 323 Ln 919 323 928 321 Ln 928 321 933 319 Ln 933 319 935 317 Ln 935 317 937 313 Ln 937 351 935 344 Ln 935 344 928 341 Ln 928 341 919 338 Ln 919 338 913 338 Ln 913 338 903 341 Ln 903 341 897 344 Ln 897 344 895 351 Ln 895 351 895 355 Ln 895 355 897 360 Ln 897 360 903 365 Ln 903 365 913 366 Ln 913 366 919 366 Ln 919 366 928 365 Ln 928 365 935 360 Ln 935 360 937 355 Ln 937 355 937 351 Ln 937 351 935 346 Ln 935 346 933 344 Ln 933 344 928 343 Ln 928 343 919 341 Ln 919 341 913 341 Ln 913 341 903 343 Ln 903 343 898 344 Ln 898 344 897 346 Ln 897 346 895 351 Ln 895 355 897 358 Ln 897 358 898 360 Ln 898 360 903 362 Ln 903 362 913 365 Ln 913 365 919 365 Ln 919 365 928 362 Ln 928 362 933 360 Ln 933 360 935 358 Ln 935 358 937 355 Ln 1005 792 990 792 Ln 2669 792 2684 792 Ln 1005 873 990 873 Ln 2669 873 2684 873 Ln 1005 954 990 954 Ln 2669 954 2684 954 Ln 1005 1036 990 1036 Ln 2669 1036 2684 1036 Ln 1005 710 982 710 Ln 2669 710 2693 710 Ln 937 656 935 650 Ln 935 650 928 646 Ln 928 646 919 644 Ln 919 644 913 644 Ln 913 644 903 646 Ln 903 646 897 650 Ln 897 650 895 656 Ln 895 656 895 660 Ln 895 660 897 666 Ln 897 666 903 670 Ln 903 670 913 671 Ln 913 671 919 671 Ln 919 671 928 670 Ln 928 670 935 666 Ln 935 666 937 660 Ln 937 660 937 656 Ln 937 656 935 652 Ln 935 652 933 650 Ln 933 650 928 648 Ln 928 648 919 646 Ln 919 646 913 646 Ln 913 646 903 648 Ln 903 648 898 650 Ln 898 650 897 652 Ln 897 652 895 656 Ln 895 660 897 663 Ln 897 663 898 666 Ln 898 666 903 668 Ln 903 668 913 670 Ln 913 670 919 670 Ln 919 670 928 668 Ln 928 668 933 666 Ln 933 666 935 663 Ln 935 663 937 660 Ln 898 689 897 687 Ln 897 687 895 689 Ln 895 689 897 691 Ln 897 691 898 689 Ln 928 709 927 711 Ln 927 711 925 709 Ln 925 709 927 707 Ln 927 707 928 707 Ln 928 707 933 709 Ln 933 709 935 711 Ln 935 711 937 717 Ln 937 717 937 725 Ln 937 725 935 731 Ln 935 731 933 732 Ln 933 732 928 734 Ln 928 734 925 734 Ln 925 734 921 732 Ln 921 732 917 726 Ln 917 726 913 717 Ln 913 717 911 713 Ln 911 713 906 709 Ln 906 709 901 707 Ln 901 707 895 707 Ln 937 725 935 728 Ln 935 728 933 731 Ln 933 731 928 732 Ln 928 732 925 732 Ln 925 732 921 731 Ln 921 731 917 725 Ln 917 725 913 717 Ln 898 707 901 709 Ln 901 709 901 713 Ln 901 713 897 723 Ln 897 723 897 728 Ln 897 728 898 732 Ln 898 732 901 734 Ln 901 713 895 723 Ln 895 723 895 731 Ln 895 731 897 732 Ln 897 732 901 734 Ln 901 734 905 734 Ln 937 752 917 748 Ln 917 748 921 752 Ln 921 752 922 758 Ln 922 758 922 764 Ln 922 764 921 769 Ln 921 769 917 774 Ln 917 774 911 775 Ln 911 775 906 775 Ln 906 775 901 774 Ln 901 774 897 769 Ln 897 769 895 764 Ln 895 764 895 758 Ln 895 758 897 752 Ln 897 752 898 750 Ln 898 750 903 748 Ln 903 748 905 748 Ln 905 748 906 750 Ln 906 750 905 752 Ln 905 752 903 750 Ln 922 764 921 767 Ln 921 767 917 771 Ln 917 771 911 774 Ln 911 774 906 774 Ln 906 774 901 771 Ln 901 771 897 767 Ln 897 767 895 764 Ln 937 752 937 771 Ln 935 752 935 761 Ln 935 761 937 771 Ln 1005 1201 990 1201 Ln 2669 1201 2684 1201 Ln 1005 1282 990 1282 Ln 2669 1282 2684 1282 Ln 1005 1364 990 1364 Ln 2669 1364 2684 1364 Ln 1005 1445 990 1445 Ln 2669 1445 2684 1445 Ln 1005 1120 982 1120 Ln 2669 1120 2693 1120 Ln 937 1065 935 1059 Ln 935 1059 928 1055 Ln 928 1055 919 1053 Ln 919 1053 913 1053 Ln 913 1053 903 1055 Ln 903 1055 897 1059 Ln 897 1059 895 1065 Ln 895 1065 895 1069 Ln 895 1069 897 1075 Ln 897 1075 903 1079 Ln 903 1079 913 1081 Ln 913 1081 919 1081 Ln 919 1081 928 1079 Ln 928 1079 935 1075 Ln 935 1075 937 1069 Ln 937 1069 937 1065 Ln 937 1065 935 1061 Ln 935 1061 933 1059 Ln 933 1059 928 1057 Ln 928 1057 919 1055 Ln 919 1055 913 1055 Ln 913 1055 903 1057 Ln 903 1057 898 1059 Ln 898 1059 897 1061 Ln 897 1061 895 1065 Ln 895 1069 897 1072 Ln 897 1072 898 1075 Ln 898 1075 903 1077 Ln 903 1077 913 1079 Ln 913 1079 919 1079 Ln 919 1079 928 1077 Ln 928 1077 933 1075 Ln 933 1075 935 1072 Ln 935 1072 937 1069 Ln 898 1099 897 1096 Ln 897 1096 895 1099 Ln 895 1099 897 1100 Ln 897 1100 898 1099 Ln 937 1120 917 1116 Ln 917 1116 921 1120 Ln 921 1120 922 1126 Ln 922 1126 922 1132 Ln 922 1132 921 1138 Ln 921 1138 917 1142 Ln 917 1142 911 1143 Ln 911 1143 906 1143 Ln 906 1143 901 1142 Ln 901 1142 897 1138 Ln 897 1138 895 1132 Ln 895 1132 895 1126 Ln 895 1126 897 1120 Ln 897 1120 898 1118 Ln 898 1118 903 1116 Ln 903 1116 905 1116 Ln 905 1116 906 1118 Ln 906 1118 905 1120 Ln 905 1120 903 1118 Ln 922 1132 921 1135 Ln 921 1135 917 1140 Ln 917 1140 911 1142 Ln 911 1142 906 1142 Ln 906 1142 901 1140 Ln 901 1140 897 1135 Ln 897 1135 895 1132 Ln 937 1120 937 1140 Ln 935 1120 935 1129 Ln 935 1129 937 1140 Ln 937 1169 935 1163 Ln 935 1163 928 1159 Ln 928 1159 919 1157 Ln 919 1157 913 1157 Ln 913 1157 903 1159 Ln 903 1159 897 1163 Ln 897 1163 895 1169 Ln 895 1169 895 1173 Ln 895 1173 897 1178 Ln 897 1178 903 1183 Ln 903 1183 913 1184 Ln 913 1184 919 1184 Ln 919 1184 928 1183 Ln 928 1183 935 1178 Ln 935 1178 937 1173 Ln 937 1173 937 1169 Ln 937 1169 935 1165 Ln 935 1165 933 1163 Ln 933 1163 928 1161 Ln 928 1161 919 1159 Ln 919 1159 913 1159 Ln 913 1159 903 1161 Ln 903 1161 898 1163 Ln 898 1163 897 1165 Ln 897 1165 895 1169 Ln 895 1173 897 1176 Ln 897 1176 898 1178 Ln 898 1178 903 1181 Ln 903 1181 913 1183 Ln 913 1183 919 1183 Ln 919 1183 928 1181 Ln 928 1181 933 1178 Ln 933 1178 935 1176 Ln 935 1176 937 1173 Ln 1005 1610 990 1610 Ln 2669 1610 2684 1610 Ln 1005 1691 990 1691 Ln 2669 1691 2684 1691 Ln 1005 1773 990 1773 Ln 2669 1773 2684 1773 Ln 1005 1854 990 1854 Ln 2669 1854 2684 1854 Ln 1005 1529 982 1529 Ln 2669 1529 2693 1529 Ln 937 1475 935 1468 Ln 935 1468 928 1464 Ln 928 1464 919 1462 Ln 919 1462 913 1462 Ln 913 1462 903 1464 Ln 903 1464 897 1468 Ln 897 1468 895 1475 Ln 895 1475 895 1478 Ln 895 1478 897 1484 Ln 897 1484 903 1488 Ln 903 1488 913 1490 Ln 913 1490 919 1490 Ln 919 1490 928 1488 Ln 928 1488 935 1484 Ln 935 1484 937 1478 Ln 937 1478 937 1475 Ln 937 1475 935 1470 Ln 935 1470 933 1468 Ln 933 1468 928 1467 Ln 928 1467 919 1464 Ln 919 1464 913 1464 Ln 913 1464 903 1467 Ln 903 1467 898 1468 Ln 898 1468 897 1470 Ln 897 1470 895 1475 Ln 895 1478 897 1482 Ln 897 1482 898 1484 Ln 898 1484 903 1486 Ln 903 1486 913 1488 Ln 913 1488 919 1488 Ln 919 1488 928 1486 Ln 928 1486 933 1484 Ln 933 1484 935 1482 Ln 935 1482 937 1478 Ln 898 1508 897 1505 Ln 897 1505 895 1508 Ln 895 1508 897 1509 Ln 897 1509 898 1508 Ln 937 1525 925 1525 Ln 928 1525 933 1527 Ln 933 1527 937 1531 Ln 937 1531 937 1535 Ln 937 1535 931 1544 Ln 931 1544 931 1548 Ln 931 1548 933 1551 Ln 933 1551 937 1553 Ln 933 1527 935 1531 Ln 935 1531 935 1535 Ln 935 1535 931 1544 Ln 937 1553 931 1553 Ln 931 1553 925 1551 Ln 925 1551 915 1543 Ln 915 1543 911 1541 Ln 911 1541 905 1539 Ln 905 1539 895 1539 Ln 925 1551 915 1541 Ln 915 1541 911 1539 Ln 911 1539 905 1537 Ln 905 1537 895 1537 Ln 937 1571 917 1566 Ln 917 1566 921 1571 Ln 921 1571 922 1576 Ln 922 1576 922 1582 Ln 922 1582 921 1587 Ln 921 1587 917 1592 Ln 917 1592 911 1593 Ln 911 1593 906 1593 Ln 906 1593 901 1592 Ln 901 1592 897 1587 Ln 897 1587 895 1582 Ln 895 1582 895 1576 Ln 895 1576 897 1571 Ln 897 1571 898 1568 Ln 898 1568 903 1566 Ln 903 1566 905 1566 Ln 905 1566 906 1568 Ln 906 1568 905 1571 Ln 905 1571 903 1568 Ln 922 1582 921 1586 Ln 921 1586 917 1590 Ln 917 1590 911 1592 Ln 911 1592 906 1592 Ln 906 1592 901 1590 Ln 901 1590 897 1586 Ln 897 1586 895 1582 Ln 937 1571 937 1590 Ln 935 1571 935 1580 Ln 935 1580 937 1590 Ln 1005 1938 982 1938 Ln 2669 1938 2693 1938 Ln 928 1877 931 1881 Ln 931 1881 937 1887 Ln 937 1887 895 1887 Ln 935 1885 895 1885 Ln 895 1877 895 1895 Ln 898 1917 897 1915 Ln 897 1915 895 1917 Ln 895 1917 897 1918 Ln 897 1918 898 1917 Ln 937 1947 935 1940 Ln 935 1940 928 1936 Ln 928 1936 919 1934 Ln 919 1934 913 1934 Ln 913 1934 903 1936 Ln 903 1936 897 1940 Ln 897 1940 895 1947 Ln 895 1947 895 1950 Ln 895 1950 897 1956 Ln 897 1956 903 1960 Ln 903 1960 913 1962 Ln 913 1962 919 1962 Ln 919 1962 928 1960 Ln 928 1960 935 1956 Ln 935 1956 937 1950 Ln 937 1950 937 1947 Ln 937 1947 935 1942 Ln 935 1942 933 1940 Ln 933 1940 928 1938 Ln 928 1938 919 1936 Ln 919 1936 913 1936 Ln 913 1936 903 1938 Ln 903 1938 898 1940 Ln 898 1940 897 1942 Ln 897 1942 895 1947 Ln 895 1950 897 1954 Ln 897 1954 898 1956 Ln 898 1956 903 1958 Ln 903 1958 913 1960 Ln 913 1960 919 1960 Ln 919 1960 928 1958 Ln 928 1958 933 1956 Ln 933 1956 935 1954 Ln 935 1954 937 1950 Ln 937 1987 935 1981 Ln 935 1981 928 1977 Ln 928 1977 919 1975 Ln 919 1975 913 1975 Ln 913 1975 903 1977 Ln 903 1977 897 1981 Ln 897 1981 895 1987 Ln 895 1987 895 1991 Ln 895 1991 897 1997 Ln 897 1997 903 2001 Ln 903 2001 913 2002 Ln 913 2002 919 2002 Ln 919 2002 928 2001 Ln 928 2001 935 1997 Ln 935 1997 937 1991 Ln 937 1991 937 1987 Ln 937 1987 935 1983 Ln 935 1983 933 1981 Ln 933 1981 928 1980 Ln 928 1980 919 1977 Ln 919 1977 913 1977 Ln 913 1977 903 1980 Ln 903 1980 898 1981 Ln 898 1981 897 1983 Ln 897 1983 895 1987 Ln 895 1991 897 1995 Ln 897 1995 898 1997 Ln 898 1997 903 1999 Ln 903 1999 913 2001 Ln 913 2001 919 2001 Ln 919 2001 928 1999 Ln 928 1999 933 1997 Ln 933 1997 935 1995 Ln 935 1995 937 1991 Ln 1005 301 2669 301 Ln 1005 1938 2669 1938 Ln 1006 301 2669 301 Ln 1005 1938 2670 1938 Ln 1007 299 2669 299 Ln 1004 1939 2671 1939 Ln 1008 299 2669 299 Ln 1003 1940 2671 1940 Ln 1008 298 2669 298 Ln 1003 1941 2672 1941 Ln 1088 301 1088 286 Ln 1088 1938 1088 1953 Ln 1171 301 1171 286 Ln 1171 1938 1171 1953 Ln 1254 301 1254 286 Ln 1254 1938 1254 1953 Ln 1337 301 1337 286 Ln 1337 1938 1337 1953 Ln 1005 301 1005 278 Ln 1005 1938 1005 1961 Ln 951 227 944 229 Ln 944 229 940 235 Ln 940 235 938 245 Ln 938 245 938 251 Ln 938 251 940 260 Ln 940 260 944 266 Ln 944 266 951 269 Ln 951 269 954 269 Ln 954 269 960 266 Ln 960 266 964 260 Ln 964 260 966 251 Ln 966 251 966 245 Ln 966 245 964 235 Ln 964 235 960 229 Ln 960 229 954 227 Ln 954 227 951 227 Ln 951 227 946 229 Ln 946 229 944 231 Ln 944 231 942 235 Ln 942 235 940 245 Ln 940 245 940 251 Ln 940 251 942 260 Ln 942 260 944 265 Ln 944 265 946 266 Ln 946 266 951 269 Ln 954 269 958 266 Ln 958 266 960 265 Ln 960 265 962 260 Ln 962 260 964 251 Ln 964 251 964 245 Ln 964 245 962 235 Ln 962 235 960 231 Ln 960 231 958 229 Ln 958 229 954 227 Ln 984 265 982 266 Ln 982 266 984 269 Ln 984 269 985 266 Ln 985 266 984 265 Ln 1014 227 1008 229 Ln 1008 229 1004 235 Ln 1004 235 1002 245 Ln 1002 245 1002 251 Ln 1002 251 1004 260 Ln 1004 260 1008 266 Ln 1008 266 1014 269 Ln 1014 269 1018 269 Ln 1018 269 1024 266 Ln 1024 266 1028 260 Ln 1028 260 1030 251 Ln 1030 251 1030 245 Ln 1030 245 1028 235 Ln 1028 235 1024 229 Ln 1024 229 1018 227 Ln 1018 227 1014 227 Ln 1014 227 1010 229 Ln 1010 229 1008 231 Ln 1008 231 1006 235 Ln 1006 235 1004 245 Ln 1004 245 1004 251 Ln 1004 251 1006 260 Ln 1006 260 1008 265 Ln 1008 265 1010 266 Ln 1010 266 1014 269 Ln 1018 269 1021 266 Ln 1021 266 1024 265 Ln 1024 265 1026 260 Ln 1026 260 1028 251 Ln 1028 251 1028 245 Ln 1028 245 1026 235 Ln 1026 235 1024 231 Ln 1024 231 1021 229 Ln 1021 229 1018 227 Ln 1056 227 1050 229 Ln 1050 229 1046 235 Ln 1046 235 1044 245 Ln 1044 245 1044 251 Ln 1044 251 1046 260 Ln 1046 260 1050 266 Ln 1050 266 1056 269 Ln 1056 269 1060 269 Ln 1060 269 1066 266 Ln 1066 266 1070 260 Ln 1070 260 1071 251 Ln 1071 251 1071 245 Ln 1071 245 1070 235 Ln 1070 235 1066 229 Ln 1066 229 1060 227 Ln 1060 227 1056 227 Ln 1056 227 1051 229 Ln 1051 229 1050 231 Ln 1050 231 1048 235 Ln 1048 235 1046 245 Ln 1046 245 1046 251 Ln 1046 251 1048 260 Ln 1048 260 1050 265 Ln 1050 265 1051 266 Ln 1051 266 1056 269 Ln 1060 269 1063 266 Ln 1063 266 1066 265 Ln 1066 265 1067 260 Ln 1067 260 1070 251 Ln 1070 251 1070 245 Ln 1070 245 1067 235 Ln 1067 235 1066 231 Ln 1066 231 1063 229 Ln 1063 229 1060 227 Ln 1504 301 1504 286 Ln 1504 1938 1504 1953 Ln 1587 301 1587 286 Ln 1587 1938 1587 1953 Ln 1670 301 1670 286 Ln 1670 1938 1670 1953 Ln 1753 301 1753 286 Ln 1753 1938 1753 1953 Ln 1421 301 1421 278 Ln 1421 1938 1421 1961 Ln 1367 227 1360 229 Ln 1360 229 1356 235 Ln 1356 235 1354 245 Ln 1354 245 1354 251 Ln 1354 251 1356 260 Ln 1356 260 1360 266 Ln 1360 266 1367 269 Ln 1367 269 1370 269 Ln 1370 269 1376 266 Ln 1376 266 1380 260 Ln 1380 260 1382 251 Ln 1382 251 1382 245 Ln 1382 245 1380 235 Ln 1380 235 1376 229 Ln 1376 229 1370 227 Ln 1370 227 1367 227 Ln 1367 227 1362 229 Ln 1362 229 1360 231 Ln 1360 231 1358 235 Ln 1358 235 1356 245 Ln 1356 245 1356 251 Ln 1356 251 1358 260 Ln 1358 260 1360 265 Ln 1360 265 1362 266 Ln 1362 266 1367 269 Ln 1370 269 1374 266 Ln 1374 266 1376 265 Ln 1376 265 1378 260 Ln 1378 260 1380 251 Ln 1380 251 1380 245 Ln 1380 245 1378 235 Ln 1378 235 1376 231 Ln 1376 231 1374 229 Ln 1374 229 1370 227 Ln 1400 265 1398 266 Ln 1398 266 1400 269 Ln 1400 269 1401 266 Ln 1401 266 1400 265 Ln 1420 235 1422 237 Ln 1422 237 1420 239 Ln 1420 239 1417 237 Ln 1417 237 1417 235 Ln 1417 235 1420 231 Ln 1420 231 1422 229 Ln 1422 229 1428 227 Ln 1428 227 1436 227 Ln 1436 227 1442 229 Ln 1442 229 1444 231 Ln 1444 231 1446 235 Ln 1446 235 1446 239 Ln 1446 239 1444 244 Ln 1444 244 1437 247 Ln 1437 247 1428 251 Ln 1428 251 1423 253 Ln 1423 253 1420 257 Ln 1420 257 1417 263 Ln 1417 263 1417 269 Ln 1436 227 1440 229 Ln 1440 229 1442 231 Ln 1442 231 1444 235 Ln 1444 235 1444 239 Ln 1444 239 1442 244 Ln 1442 244 1436 247 Ln 1436 247 1428 251 Ln 1417 265 1420 263 Ln 1420 263 1423 263 Ln 1423 263 1434 266 Ln 1434 266 1440 266 Ln 1440 266 1444 265 Ln 1444 265 1446 263 Ln 1423 263 1434 269 Ln 1434 269 1442 269 Ln 1442 269 1444 266 Ln 1444 266 1446 263 Ln 1446 263 1446 259 Ln 1464 227 1459 247 Ln 1459 247 1464 244 Ln 1464 244 1470 241 Ln 1470 241 1476 241 Ln 1476 241 1482 244 Ln 1482 244 1486 247 Ln 1486 247 1487 253 Ln 1487 253 1487 257 Ln 1487 257 1486 263 Ln 1486 263 1482 266 Ln 1482 266 1476 269 Ln 1476 269 1470 269 Ln 1470 269 1464 266 Ln 1464 266 1462 265 Ln 1462 265 1459 260 Ln 1459 260 1459 259 Ln 1459 259 1462 257 Ln 1462 257 1464 259 Ln 1464 259 1462 260 Ln 1476 241 1479 244 Ln 1479 244 1483 247 Ln 1483 247 1486 253 Ln 1486 253 1486 257 Ln 1486 257 1483 263 Ln 1483 263 1479 266 Ln 1479 266 1476 269 Ln 1464 227 1483 227 Ln 1464 229 1473 229 Ln 1473 229 1483 227 Ln 1920 301 1920 286 Ln 1920 1938 1920 1953 Ln 2003 301 2003 286 Ln 2003 1938 2003 1953 Ln 2086 301 2086 286 Ln 2086 1938 2086 1953 Ln 2168 301 2168 286 Ln 2168 1938 2168 1953 Ln 1838 301 1838 278 Ln 1838 1938 1838 1961 Ln 1782 227 1776 229 Ln 1776 229 1772 235 Ln 1772 235 1770 245 Ln 1770 245 1770 251 Ln 1770 251 1772 260 Ln 1772 260 1776 266 Ln 1776 266 1782 269 Ln 1782 269 1786 269 Ln 1786 269 1792 266 Ln 1792 266 1796 260 Ln 1796 260 1798 251 Ln 1798 251 1798 245 Ln 1798 245 1796 235 Ln 1796 235 1792 229 Ln 1792 229 1786 227 Ln 1786 227 1782 227 Ln 1782 227 1778 229 Ln 1778 229 1776 231 Ln 1776 231 1774 235 Ln 1774 235 1772 245 Ln 1772 245 1772 251 Ln 1772 251 1774 260 Ln 1774 260 1776 265 Ln 1776 265 1778 266 Ln 1778 266 1782 269 Ln 1786 269 1790 266 Ln 1790 266 1792 265 Ln 1792 265 1794 260 Ln 1794 260 1796 251 Ln 1796 251 1796 245 Ln 1796 245 1794 235 Ln 1794 235 1792 231 Ln 1792 231 1790 229 Ln 1790 229 1786 227 Ln 1816 265 1814 266 Ln 1814 266 1816 269 Ln 1816 269 1818 266 Ln 1818 266 1816 265 Ln 1838 227 1833 247 Ln 1833 247 1838 244 Ln 1838 244 1844 241 Ln 1844 241 1850 241 Ln 1850 241 1856 244 Ln 1856 244 1860 247 Ln 1860 247 1862 253 Ln 1862 253 1862 257 Ln 1862 257 1860 263 Ln 1860 263 1856 266 Ln 1856 266 1850 269 Ln 1850 269 1844 269 Ln 1844 269 1838 266 Ln 1838 266 1836 265 Ln 1836 265 1833 260 Ln 1833 260 1833 259 Ln 1833 259 1836 257 Ln 1836 257 1838 259 Ln 1838 259 1836 260 Ln 1850 241 1853 244 Ln 1853 244 1858 247 Ln 1858 247 1860 253 Ln 1860 253 1860 257 Ln 1860 257 1858 263 Ln 1858 263 1853 266 Ln 1853 266 1850 269 Ln 1838 227 1858 227 Ln 1838 229 1848 229 Ln 1848 229 1858 227 Ln 1888 227 1881 229 Ln 1881 229 1878 235 Ln 1878 235 1875 245 Ln 1875 245 1875 251 Ln 1875 251 1878 260 Ln 1878 260 1881 266 Ln 1881 266 1888 269 Ln 1888 269 1892 269 Ln 1892 269 1898 266 Ln 1898 266 1902 260 Ln 1902 260 1904 251 Ln 1904 251 1904 245 Ln 1904 245 1902 235 Ln 1902 235 1898 229 Ln 1898 229 1892 227 Ln 1892 227 1888 227 Ln 1888 227 1884 229 Ln 1884 229 1881 231 Ln 1881 231 1880 235 Ln 1880 235 1878 245 Ln 1878 245 1878 251 Ln 1878 251 1880 260 Ln 1880 260 1881 265 Ln 1881 265 1884 266 Ln 1884 266 1888 269 Ln 1892 269 1895 266 Ln 1895 266 1898 265 Ln 1898 265 1899 260 Ln 1899 260 1902 251 Ln 1902 251 1902 245 Ln 1902 245 1899 235 Ln 1899 235 1898 231 Ln 1898 231 1895 229 Ln 1895 229 1892 227 Ln 2336 301 2336 286 Ln 2336 1938 2336 1953 Ln 2419 301 2419 286 Ln 2419 1938 2419 1953 Ln 2502 301 2502 286 Ln 2502 1938 2502 1953 Ln 2584 301 2584 286 Ln 2584 1938 2584 1953 Ln 2254 301 2254 278 Ln 2254 1938 2254 1961 Ln 2198 227 2192 229 Ln 2192 229 2188 235 Ln 2188 235 2186 245 Ln 2186 245 2186 251 Ln 2186 251 2188 260 Ln 2188 260 2192 266 Ln 2192 266 2198 269 Ln 2198 269 2202 269 Ln 2202 269 2208 266 Ln 2208 266 2212 260 Ln 2212 260 2214 251 Ln 2214 251 2214 245 Ln 2214 245 2212 235 Ln 2212 235 2208 229 Ln 2208 229 2202 227 Ln 2202 227 2198 227 Ln 2198 227 2194 229 Ln 2194 229 2192 231 Ln 2192 231 2190 235 Ln 2190 235 2188 245 Ln 2188 245 2188 251 Ln 2188 251 2190 260 Ln 2190 260 2192 265 Ln 2192 265 2194 266 Ln 2194 266 2198 269 Ln 2202 269 2206 266 Ln 2206 266 2208 265 Ln 2208 265 2210 260 Ln 2210 260 2212 251 Ln 2212 251 2212 245 Ln 2212 245 2210 235 Ln 2210 235 2208 231 Ln 2208 231 2206 229 Ln 2206 229 2202 227 Ln 2232 265 2230 266 Ln 2230 266 2232 269 Ln 2232 269 2234 266 Ln 2234 266 2232 265 Ln 2249 227 2249 239 Ln 2249 235 2252 231 Ln 2252 231 2255 227 Ln 2255 227 2260 227 Ln 2260 227 2269 233 Ln 2269 233 2274 233 Ln 2274 233 2276 231 Ln 2276 231 2278 227 Ln 2252 231 2255 229 Ln 2255 229 2260 229 Ln 2260 229 2269 233 Ln 2278 227 2278 233 Ln 2278 233 2276 239 Ln 2276 239 2268 249 Ln 2268 249 2266 253 Ln 2266 253 2264 259 Ln 2264 259 2264 269 Ln 2276 239 2266 249 Ln 2266 249 2264 253 Ln 2264 253 2262 259 Ln 2262 259 2262 269 Ln 2295 227 2291 247 Ln 2291 247 2295 244 Ln 2295 244 2301 241 Ln 2301 241 2307 241 Ln 2307 241 2313 244 Ln 2313 244 2318 247 Ln 2318 247 2319 253 Ln 2319 253 2319 257 Ln 2319 257 2318 263 Ln 2318 263 2313 266 Ln 2313 266 2307 269 Ln 2307 269 2301 269 Ln 2301 269 2295 266 Ln 2295 266 2294 265 Ln 2294 265 2291 260 Ln 2291 260 2291 259 Ln 2291 259 2294 257 Ln 2294 257 2295 259 Ln 2295 259 2294 260 Ln 2307 241 2311 244 Ln 2311 244 2315 247 Ln 2315 247 2318 253 Ln 2318 253 2318 257 Ln 2318 257 2315 263 Ln 2315 263 2311 266 Ln 2311 266 2307 269 Ln 2295 227 2315 227 Ln 2295 229 2305 229 Ln 2305 229 2315 227 Ln 2669 301 2669 278 Ln 2669 1938 2669 1961 Ln 2608 235 2612 233 Ln 2612 233 2618 227 Ln 2618 227 2618 269 Ln 2616 229 2616 269 Ln 2608 269 2626 269 Ln 2648 265 2646 266 Ln 2646 266 2648 269 Ln 2648 269 2650 266 Ln 2650 266 2648 265 Ln 2678 227 2671 229 Ln 2671 229 2668 235 Ln 2668 235 2666 245 Ln 2666 245 2666 251 Ln 2666 251 2668 260 Ln 2668 260 2671 266 Ln 2671 266 2678 269 Ln 2678 269 2681 269 Ln 2681 269 2687 266 Ln 2687 266 2692 260 Ln 2692 260 2693 251 Ln 2693 251 2693 245 Ln 2693 245 2692 235 Ln 2692 235 2687 229 Ln 2687 229 2681 227 Ln 2681 227 2678 227 Ln 2678 227 2674 229 Ln 2674 229 2671 231 Ln 2671 231 2670 235 Ln 2670 235 2668 245 Ln 2668 245 2668 251 Ln 2668 251 2670 260 Ln 2670 260 2671 265 Ln 2671 265 2674 266 Ln 2674 266 2678 269 Ln 2681 269 2686 266 Ln 2686 266 2687 265 Ln 2687 265 2690 260 Ln 2690 260 2692 251 Ln 2692 251 2692 245 Ln 2692 245 2690 235 Ln 2690 235 2687 231 Ln 2687 231 2686 229 Ln 2686 229 2681 227 Ln 2720 227 2713 229 Ln 2713 229 2710 235 Ln 2710 235 2707 245 Ln 2707 245 2707 251 Ln 2707 251 2710 260 Ln 2710 260 2713 266 Ln 2713 266 2720 269 Ln 2720 269 2723 269 Ln 2723 269 2729 266 Ln 2729 266 2734 260 Ln 2734 260 2735 251 Ln 2735 251 2735 245 Ln 2735 245 2734 235 Ln 2734 235 2729 229 Ln 2729 229 2723 227 Ln 2723 227 2720 227 Ln 2720 227 2716 229 Ln 2716 229 2713 231 Ln 2713 231 2712 235 Ln 2712 235 2710 245 Ln 2710 245 2710 251 Ln 2710 251 2712 260 Ln 2712 260 2713 265 Ln 2713 265 2716 266 Ln 2716 266 2720 269 Ln 2723 269 2727 266 Ln 2727 266 2729 265 Ln 2729 265 2731 260 Ln 2731 260 2734 251 Ln 2734 251 2734 245 Ln 2734 245 2731 235 Ln 2731 235 2729 231 Ln 2729 231 2727 229 Ln 2727 229 2723 227 Ln 1 SLW 790 306 741 306 Ln 790 308 741 308 Ln 776 322 757 322 Ln 790 299 790 335 Ln 790 335 776 335 Ln 776 335 790 334 Ln 767 308 767 322 Ln 741 299 741 335 Ln 741 335 755 335 Ln 755 335 741 334 Ln 769 374 774 377 Ln 774 377 764 377 Ln 764 377 769 374 Ln 769 374 771 373 Ln 771 373 774 368 Ln 774 368 774 359 Ln 774 359 771 355 Ln 771 355 769 352 Ln 769 352 764 352 Ln 764 352 762 355 Ln 762 355 759 359 Ln 759 359 755 370 Ln 755 370 753 374 Ln 753 374 750 377 Ln 767 352 764 355 Ln 764 355 762 359 Ln 762 359 757 370 Ln 757 370 755 374 Ln 755 374 753 377 Ln 753 377 746 377 Ln 746 377 743 374 Ln 743 374 741 370 Ln 741 370 741 361 Ln 741 361 743 356 Ln 743 356 746 355 Ln 746 355 750 352 Ln 750 352 741 352 Ln 741 352 746 355 Ln 790 398 750 398 Ln 750 398 743 400 Ln 743 400 741 404 Ln 741 404 741 409 Ln 741 409 743 413 Ln 743 413 749 416 Ln 790 400 750 400 Ln 750 400 743 402 Ln 743 402 741 404 Ln 774 391 774 409 Ln 790 434 788 432 Ln 788 432 785 434 Ln 785 434 788 437 Ln 788 437 790 434 Ln 774 434 741 434 Ln 774 437 741 437 Ln 774 427 774 437 Ln 741 427 741 444 Ln 774 462 741 462 Ln 774 464 741 464 Ln 767 464 771 468 Ln 771 468 774 476 Ln 774 476 774 480 Ln 774 480 771 487 Ln 771 487 767 489 Ln 767 489 741 489 Ln 774 480 771 485 Ln 771 485 767 487 Ln 767 487 741 487 Ln 767 489 771 494 Ln 771 494 774 501 Ln 774 501 774 505 Ln 774 505 771 512 Ln 771 512 767 514 Ln 767 514 741 514 Ln 774 505 771 510 Ln 771 510 767 512 Ln 767 512 741 512 Ln 774 455 774 464 Ln 741 455 741 471 Ln 741 480 741 496 Ln 741 505 741 521 Ln 769 539 767 539 Ln 767 539 767 537 Ln 767 537 769 537 Ln 769 537 771 539 Ln 771 539 774 544 Ln 774 544 774 553 Ln 774 553 771 557 Ln 771 557 769 560 Ln 769 560 764 563 Ln 764 563 749 563 Ln 749 563 743 564 Ln 743 564 741 567 Ln 769 560 749 560 Ln 749 560 743 563 Ln 743 563 741 567 Ln 741 567 741 569 Ln 764 560 762 557 Ln 762 557 759 544 Ln 759 544 757 537 Ln 757 537 753 535 Ln 753 535 749 535 Ln 749 535 743 537 Ln 743 537 741 544 Ln 741 544 741 551 Ln 741 551 743 555 Ln 743 555 749 560 Ln 759 544 757 539 Ln 757 539 753 537 Ln 753 537 749 537 Ln 749 537 743 539 Ln 743 539 741 544 Ln 790 588 750 588 Ln 750 588 743 590 Ln 743 590 741 594 Ln 741 594 741 599 Ln 741 599 743 603 Ln 743 603 749 606 Ln 790 590 750 590 Ln 750 590 743 592 Ln 743 592 741 594 Ln 774 581 774 599 Ln 759 623 759 650 Ln 759 650 764 650 Ln 764 650 769 648 Ln 769 648 771 645 Ln 771 645 774 641 Ln 774 641 774 634 Ln 774 634 771 627 Ln 771 627 767 623 Ln 767 623 759 620 Ln 759 620 755 620 Ln 755 620 749 623 Ln 749 623 743 627 Ln 743 627 741 634 Ln 741 634 741 638 Ln 741 638 743 645 Ln 743 645 749 650 Ln 759 648 767 648 Ln 767 648 771 645 Ln 774 634 771 629 Ln 771 629 767 624 Ln 767 624 759 623 Ln 759 623 755 623 Ln 755 623 749 624 Ln 749 624 743 629 Ln 743 629 741 634 Ln 790 693 741 693 Ln 790 695 741 695 Ln 767 693 771 688 Ln 771 688 774 684 Ln 774 684 774 680 Ln 774 680 771 672 Ln 771 672 767 668 Ln 767 668 759 666 Ln 759 666 755 666 Ln 755 666 749 668 Ln 749 668 743 672 Ln 743 672 741 680 Ln 741 680 741 684 Ln 741 684 743 688 Ln 743 688 749 693 Ln 774 680 771 674 Ln 771 674 767 670 Ln 767 670 759 668 Ln 759 668 755 668 Ln 755 668 749 670 Ln 749 670 743 674 Ln 743 674 741 680 Ln 790 686 790 695 Ln 741 693 741 702 Ln 790 764 741 764 Ln 790 766 741 766 Ln 790 757 790 785 Ln 790 785 788 792 Ln 788 792 785 794 Ln 785 794 780 796 Ln 780 796 776 796 Ln 776 796 771 794 Ln 771 794 769 792 Ln 769 792 767 785 Ln 790 785 788 789 Ln 788 789 785 792 Ln 785 792 780 794 Ln 780 794 776 794 Ln 776 794 771 792 Ln 771 792 769 789 Ln 769 789 767 785 Ln 767 766 767 785 Ln 767 785 764 792 Ln 764 792 762 794 Ln 762 794 757 796 Ln 757 796 750 796 Ln 750 796 746 794 Ln 746 794 743 792 Ln 743 792 741 785 Ln 741 785 741 757 Ln 767 785 764 789 Ln 764 789 762 792 Ln 762 792 757 794 Ln 757 794 750 794 Ln 750 794 746 792 Ln 746 792 743 789 Ln 743 789 741 785 Ln 790 817 741 817 Ln 790 819 741 819 Ln 790 810 790 819 Ln 741 810 741 826 Ln 769 844 767 844 Ln 767 844 767 842 Ln 767 842 769 842 Ln 769 842 771 844 Ln 771 844 774 849 Ln 774 849 774 858 Ln 774 858 771 862 Ln 771 862 769 865 Ln 769 865 764 867 Ln 764 867 749 867 Ln 749 867 743 870 Ln 743 870 741 871 Ln 769 865 749 865 Ln 749 865 743 867 Ln 743 867 741 871 Ln 741 871 741 874 Ln 764 865 762 862 Ln 762 862 759 849 Ln 759 849 757 842 Ln 757 842 753 840 Ln 753 840 749 840 Ln 749 840 743 842 Ln 743 842 741 849 Ln 741 849 741 856 Ln 741 856 743 860 Ln 743 860 749 865 Ln 759 849 757 844 Ln 757 844 753 842 Ln 753 842 749 842 Ln 749 842 743 844 Ln 743 844 741 849 Ln 767 916 764 913 Ln 764 913 762 916 Ln 762 916 764 918 Ln 764 918 767 918 Ln 767 918 771 913 Ln 771 913 774 909 Ln 774 909 774 902 Ln 774 902 771 895 Ln 771 895 767 891 Ln 767 891 759 888 Ln 759 888 755 888 Ln 755 888 749 891 Ln 749 891 743 895 Ln 743 895 741 902 Ln 741 902 741 906 Ln 741 906 743 913 Ln 743 913 749 918 Ln 774 902 771 897 Ln 771 897 767 892 Ln 767 892 759 891 Ln 759 891 755 891 Ln 755 891 749 892 Ln 749 892 743 897 Ln 743 897 741 902 Ln 790 939 741 939 Ln 790 940 741 940 Ln 774 964 750 940 Ln 759 952 741 966 Ln 759 950 741 964 Ln 790 931 790 940 Ln 774 957 774 970 Ln 741 931 741 948 Ln 741 957 741 970 Ln 790 1032 741 1032 Ln 790 1035 741 1035 Ln 790 1025 790 1048 Ln 790 1048 788 1055 Ln 788 1055 783 1060 Ln 783 1060 779 1062 Ln 779 1062 771 1064 Ln 771 1064 759 1064 Ln 759 1064 753 1062 Ln 753 1062 749 1060 Ln 749 1060 743 1055 Ln 743 1055 741 1048 Ln 741 1048 741 1025 Ln 790 1048 788 1053 Ln 788 1053 783 1057 Ln 783 1057 779 1060 Ln 779 1060 771 1062 Ln 771 1062 759 1062 Ln 759 1062 753 1060 Ln 753 1060 749 1057 Ln 749 1057 743 1053 Ln 743 1053 741 1048 Ln 759 1083 759 1110 Ln 759 1110 764 1110 Ln 764 1110 769 1108 Ln 769 1108 771 1106 Ln 771 1106 774 1101 Ln 774 1101 774 1094 Ln 774 1094 771 1087 Ln 771 1087 767 1083 Ln 767 1083 759 1081 Ln 759 1081 755 1081 Ln 755 1081 749 1083 Ln 749 1083 743 1087 Ln 743 1087 741 1094 Ln 741 1094 741 1099 Ln 741 1099 743 1106 Ln 743 1106 749 1110 Ln 759 1108 767 1108 Ln 767 1108 771 1106 Ln 774 1094 771 1089 Ln 771 1089 767 1085 Ln 767 1085 759 1083 Ln 759 1083 755 1083 Ln 755 1083 749 1085 Ln 749 1085 743 1089 Ln 743 1089 741 1094 Ln 774 1131 741 1131 Ln 774 1133 741 1133 Ln 767 1133 771 1138 Ln 771 1138 774 1145 Ln 774 1145 774 1149 Ln 774 1149 771 1156 Ln 771 1156 767 1158 Ln 767 1158 741 1158 Ln 774 1149 771 1154 Ln 771 1154 767 1156 Ln 767 1156 741 1156 Ln 774 1124 774 1133 Ln 741 1124 741 1140 Ln 741 1149 741 1165 Ln 769 1201 774 1204 Ln 774 1204 764 1204 Ln 764 1204 769 1201 Ln 769 1201 771 1199 Ln 771 1199 774 1195 Ln 774 1195 774 1186 Ln 774 1186 771 1181 Ln 771 1181 769 1179 Ln 769 1179 764 1179 Ln 764 1179 762 1181 Ln 762 1181 759 1186 Ln 759 1186 755 1197 Ln 755 1197 753 1201 Ln 753 1201 750 1204 Ln 767 1179 764 1181 Ln 764 1181 762 1186 Ln 762 1186 757 1197 Ln 757 1197 755 1201 Ln 755 1201 753 1204 Ln 753 1204 746 1204 Ln 746 1204 743 1201 Ln 743 1201 741 1197 Ln 741 1197 741 1188 Ln 741 1188 743 1183 Ln 743 1183 746 1181 Ln 746 1181 750 1179 Ln 750 1179 741 1179 Ln 741 1179 746 1181 Ln 790 1225 788 1222 Ln 788 1222 785 1225 Ln 785 1225 788 1226 Ln 788 1226 790 1225 Ln 774 1225 741 1225 Ln 774 1226 741 1226 Ln 774 1217 774 1226 Ln 741 1217 741 1234 Ln 790 1253 750 1253 Ln 750 1253 743 1255 Ln 743 1255 741 1259 Ln 741 1259 741 1264 Ln 741 1264 743 1268 Ln 743 1268 749 1271 Ln 790 1255 750 1255 Ln 750 1255 743 1257 Ln 743 1257 741 1259 Ln 774 1246 774 1264 Ln 774 1287 741 1301 Ln 774 1289 746 1301 Ln 774 1315 741 1301 Ln 741 1301 732 1296 Ln 732 1296 728 1292 Ln 728 1292 726 1287 Ln 726 1287 726 1285 Ln 726 1285 728 1282 Ln 728 1282 730 1285 Ln 730 1285 728 1287 Ln 774 1282 774 1296 Ln 774 1306 774 1319 Ln 769 1379 767 1379 Ln 767 1379 767 1376 Ln 767 1376 769 1376 Ln 769 1376 771 1379 Ln 771 1379 774 1383 Ln 774 1383 774 1393 Ln 774 1393 771 1397 Ln 771 1397 769 1400 Ln 769 1400 764 1402 Ln 764 1402 749 1402 Ln 749 1402 743 1404 Ln 743 1404 741 1406 Ln 769 1400 749 1400 Ln 749 1400 743 1402 Ln 743 1402 741 1406 Ln 741 1406 741 1408 Ln 764 1400 762 1397 Ln 762 1397 759 1383 Ln 759 1383 757 1376 Ln 757 1376 753 1375 Ln 753 1375 749 1375 Ln 749 1375 743 1376 Ln 743 1376 741 1383 Ln 741 1383 741 1390 Ln 741 1390 743 1394 Ln 743 1394 749 1400 Ln 759 1383 757 1379 Ln 757 1379 753 1376 Ln 753 1376 749 1376 Ln 749 1376 743 1379 Ln 743 1379 741 1383 Ln 774 1426 741 1426 Ln 774 1429 741 1429 Ln 767 1429 771 1433 Ln 771 1433 774 1440 Ln 774 1440 774 1444 Ln 774 1444 771 1451 Ln 771 1451 767 1454 Ln 767 1454 741 1454 Ln 774 1444 771 1449 Ln 771 1449 767 1451 Ln 767 1451 741 1451 Ln 767 1454 771 1458 Ln 771 1458 774 1465 Ln 774 1465 774 1469 Ln 774 1469 771 1477 Ln 771 1477 767 1479 Ln 767 1479 741 1479 Ln 774 1469 771 1475 Ln 771 1475 767 1477 Ln 767 1477 741 1477 Ln 774 1419 774 1429 Ln 741 1419 741 1436 Ln 741 1444 741 1461 Ln 741 1469 741 1486 Ln 774 1514 771 1507 Ln 771 1507 767 1503 Ln 767 1503 759 1500 Ln 759 1500 755 1500 Ln 755 1500 749 1503 Ln 749 1503 743 1507 Ln 743 1507 741 1514 Ln 741 1514 741 1518 Ln 741 1518 743 1526 Ln 743 1526 749 1530 Ln 749 1530 755 1532 Ln 755 1532 759 1532 Ln 759 1532 767 1530 Ln 767 1530 771 1526 Ln 771 1526 774 1518 Ln 774 1518 774 1514 Ln 774 1514 771 1509 Ln 771 1509 767 1505 Ln 767 1505 759 1503 Ln 759 1503 755 1503 Ln 755 1503 749 1505 Ln 749 1505 743 1509 Ln 743 1509 741 1514 Ln 741 1518 743 1523 Ln 743 1523 749 1528 Ln 749 1528 755 1530 Ln 755 1530 759 1530 Ln 759 1530 767 1528 Ln 767 1528 771 1523 Ln 771 1523 774 1518 Ln 774 1553 741 1553 Ln 774 1554 741 1554 Ln 767 1554 771 1559 Ln 771 1559 774 1566 Ln 774 1566 774 1571 Ln 774 1571 771 1578 Ln 771 1578 767 1580 Ln 767 1580 741 1580 Ln 774 1571 771 1575 Ln 771 1575 767 1578 Ln 767 1578 741 1578 Ln 774 1545 774 1554 Ln 741 1545 741 1562 Ln 741 1571 741 1587 Ln 774 1612 771 1608 Ln 771 1608 769 1605 Ln 769 1605 764 1604 Ln 764 1604 759 1604 Ln 759 1604 755 1605 Ln 755 1605 753 1608 Ln 753 1608 750 1612 Ln 750 1612 750 1617 Ln 750 1617 753 1622 Ln 753 1622 755 1623 Ln 755 1623 759 1626 Ln 759 1626 764 1626 Ln 764 1626 769 1623 Ln 769 1623 771 1622 Ln 771 1622 774 1617 Ln 774 1617 774 1612 Ln 771 1608 767 1605 Ln 767 1605 757 1605 Ln 757 1605 753 1608 Ln 753 1622 757 1623 Ln 757 1623 767 1623 Ln 767 1623 771 1622 Ln 769 1623 771 1626 Ln 771 1626 774 1631 Ln 774 1631 771 1631 Ln 771 1631 771 1626 Ln 755 1605 753 1604 Ln 753 1604 749 1601 Ln 749 1601 746 1601 Ln 746 1601 741 1604 Ln 741 1604 740 1610 Ln 740 1610 740 1622 Ln 740 1622 737 1629 Ln 737 1629 734 1631 Ln 746 1601 743 1604 Ln 743 1604 741 1610 Ln 741 1610 741 1622 Ln 741 1622 740 1629 Ln 740 1629 734 1631 Ln 734 1631 732 1631 Ln 732 1631 728 1629 Ln 728 1629 726 1622 Ln 726 1622 726 1608 Ln 726 1608 728 1601 Ln 728 1601 732 1598 Ln 732 1598 734 1598 Ln 734 1598 740 1601 Ln 740 1601 741 1608 Ln 790 1691 741 1707 Ln 790 1693 749 1707 Ln 790 1722 741 1707 Ln 790 1686 790 1700 Ln 790 1713 790 1727 Ln 774 1752 771 1745 Ln 771 1745 767 1741 Ln 767 1741 759 1739 Ln 759 1739 755 1739 Ln 755 1739 749 1741 Ln 749 1741 743 1745 Ln 743 1745 741 1752 Ln 741 1752 741 1757 Ln 741 1757 743 1764 Ln 743 1764 749 1769 Ln 749 1769 755 1770 Ln 755 1770 759 1770 Ln 759 1770 767 1769 Ln 767 1769 771 1764 Ln 771 1764 774 1757 Ln 774 1757 774 1752 Ln 774 1752 771 1748 Ln 771 1748 767 1743 Ln 767 1743 759 1741 Ln 759 1741 755 1741 Ln 755 1741 749 1743 Ln 749 1743 743 1748 Ln 743 1748 741 1752 Ln 741 1757 743 1761 Ln 743 1761 749 1766 Ln 749 1766 755 1769 Ln 755 1769 759 1769 Ln 759 1769 767 1766 Ln 767 1766 771 1761 Ln 771 1761 774 1757 Ln 790 1791 750 1791 Ln 750 1791 743 1793 Ln 743 1793 741 1797 Ln 741 1797 741 1802 Ln 741 1802 743 1807 Ln 743 1807 749 1809 Ln 790 1793 750 1793 Ln 750 1793 743 1795 Ln 743 1795 741 1797 Ln 774 1784 774 1802 Ln 759 1825 759 1853 Ln 759 1853 764 1853 Ln 764 1853 769 1851 Ln 769 1851 771 1848 Ln 771 1848 774 1843 Ln 774 1843 774 1837 Ln 774 1837 771 1830 Ln 771 1830 767 1825 Ln 767 1825 759 1823 Ln 759 1823 755 1823 Ln 755 1823 749 1825 Ln 749 1825 743 1830 Ln 743 1830 741 1837 Ln 741 1837 741 1841 Ln 741 1841 743 1848 Ln 743 1848 749 1853 Ln 759 1851 767 1851 Ln 767 1851 771 1848 Ln 774 1837 771 1832 Ln 771 1832 767 1827 Ln 767 1827 759 1825 Ln 759 1825 755 1825 Ln 755 1825 749 1827 Ln 749 1827 743 1832 Ln 743 1832 741 1837 Ln 774 1873 741 1873 Ln 774 1876 741 1876 Ln 759 1876 767 1878 Ln 767 1878 771 1883 Ln 771 1883 774 1887 Ln 774 1887 774 1894 Ln 774 1894 771 1897 Ln 771 1897 769 1897 Ln 769 1897 767 1894 Ln 767 1894 769 1891 Ln 769 1891 771 1894 Ln 774 1866 774 1876 Ln 741 1866 741 1883 Ln 769 1933 774 1936 Ln 774 1936 764 1936 Ln 764 1936 769 1933 Ln 769 1933 771 1930 Ln 771 1930 774 1926 Ln 774 1926 774 1917 Ln 774 1917 771 1912 Ln 771 1912 769 1911 Ln 769 1911 764 1911 Ln 764 1911 762 1912 Ln 762 1912 759 1917 Ln 759 1917 755 1929 Ln 755 1929 753 1933 Ln 753 1933 750 1936 Ln 767 1911 764 1912 Ln 764 1912 762 1917 Ln 762 1917 757 1929 Ln 757 1929 755 1933 Ln 755 1933 753 1936 Ln 753 1936 746 1936 Ln 746 1936 743 1933 Ln 743 1933 741 1929 Ln 741 1929 741 1919 Ln 741 1919 743 1915 Ln 743 1915 746 1912 Ln 746 1912 750 1911 Ln 750 1911 741 1911 Ln 741 1911 746 1912 Ln 754 55 754 104 Ln 756 55 756 104 Ln 770 69 770 88 Ln 747 55 784 55 Ln 784 55 784 69 Ln 784 69 782 55 Ln 756 79 770 79 Ln 747 104 784 104 Ln 784 104 784 90 Ln 784 90 782 104 Ln 831 63 833 55 Ln 833 55 833 69 Ln 833 69 831 63 Ln 831 63 827 58 Ln 827 58 819 55 Ln 819 55 812 55 Ln 812 55 806 58 Ln 806 58 801 63 Ln 801 63 801 67 Ln 801 67 803 71 Ln 803 71 806 74 Ln 806 74 810 76 Ln 810 76 824 81 Ln 824 81 829 83 Ln 829 83 833 88 Ln 801 67 806 71 Ln 806 71 810 74 Ln 810 74 824 79 Ln 824 79 829 81 Ln 829 81 831 83 Ln 831 83 833 88 Ln 833 88 833 97 Ln 833 97 829 101 Ln 829 101 822 104 Ln 822 104 815 104 Ln 815 104 808 101 Ln 808 101 803 97 Ln 803 97 801 90 Ln 801 90 801 104 Ln 801 104 803 97 Ln 863 55 863 104 Ln 866 55 866 104 Ln 849 55 846 69 Ln 846 69 846 55 Ln 846 55 882 55 Ln 882 55 882 69 Ln 882 69 879 55 Ln 856 104 872 104 Ln 901 61 898 58 Ln 898 58 901 55 Ln 901 55 903 58 Ln 903 58 903 63 Ln 903 63 901 67 Ln 901 67 898 69 Ln 950 55 950 104 Ln 952 55 952 104 Ln 950 79 945 74 Ln 945 74 940 71 Ln 940 71 936 71 Ln 936 71 928 74 Ln 928 74 924 79 Ln 924 79 922 86 Ln 922 86 922 90 Ln 922 90 924 97 Ln 924 97 928 101 Ln 928 101 936 104 Ln 936 104 940 104 Ln 940 104 945 101 Ln 945 101 950 97 Ln 936 71 931 74 Ln 931 74 926 79 Ln 926 79 924 86 Ln 924 86 924 90 Ln 924 90 926 97 Ln 926 97 931 101 Ln 931 101 936 104 Ln 942 55 952 55 Ln 950 104 958 104 Ln 1021 55 1021 104 Ln 1024 55 1024 104 Ln 1014 55 1043 55 Ln 1043 55 1050 58 Ln 1050 58 1051 61 Ln 1051 61 1054 65 Ln 1054 65 1054 71 Ln 1054 71 1051 76 Ln 1051 76 1050 79 Ln 1050 79 1043 81 Ln 1043 81 1024 81 Ln 1043 55 1047 58 Ln 1047 58 1050 61 Ln 1050 61 1051 65 Ln 1051 65 1051 71 Ln 1051 71 1050 76 Ln 1050 76 1047 79 Ln 1047 79 1043 81 Ln 1014 104 1031 104 Ln 1085 71 1078 74 Ln 1078 74 1073 79 Ln 1073 79 1071 86 Ln 1071 86 1071 90 Ln 1071 90 1073 97 Ln 1073 97 1078 101 Ln 1078 101 1085 104 Ln 1085 104 1090 104 Ln 1090 104 1097 101 Ln 1097 101 1101 97 Ln 1101 97 1103 90 Ln 1103 90 1103 86 Ln 1103 86 1101 79 Ln 1101 79 1097 74 Ln 1097 74 1090 71 Ln 1090 71 1085 71 Ln 1085 71 1080 74 Ln 1080 74 1076 79 Ln 1076 79 1073 86 Ln 1073 86 1073 90 Ln 1073 90 1076 97 Ln 1076 97 1080 101 Ln 1080 101 1085 104 Ln 1090 104 1094 101 Ln 1094 101 1099 97 Ln 1099 97 1101 90 Ln 1101 90 1101 86 Ln 1101 86 1099 79 Ln 1099 79 1094 74 Ln 1094 74 1090 71 Ln 1142 76 1145 71 Ln 1145 71 1145 81 Ln 1145 81 1142 76 Ln 1142 76 1140 74 Ln 1140 74 1136 71 Ln 1136 71 1126 71 Ln 1126 71 1122 74 Ln 1122 74 1120 76 Ln 1120 76 1120 81 Ln 1120 81 1122 83 Ln 1122 83 1126 86 Ln 1126 86 1138 90 Ln 1138 90 1142 92 Ln 1142 92 1145 94 Ln 1120 79 1122 81 Ln 1122 81 1126 83 Ln 1126 83 1138 88 Ln 1138 88 1142 90 Ln 1142 90 1145 92 Ln 1145 92 1145 99 Ln 1145 99 1142 101 Ln 1142 101 1138 104 Ln 1138 104 1129 104 Ln 1129 104 1124 101 Ln 1124 101 1122 99 Ln 1122 99 1120 94 Ln 1120 94 1120 104 Ln 1120 104 1122 99 Ln 1185 76 1188 71 Ln 1188 71 1188 81 Ln 1188 81 1185 76 Ln 1185 76 1183 74 Ln 1183 74 1178 71 Ln 1178 71 1169 71 Ln 1169 71 1165 74 Ln 1165 74 1162 76 Ln 1162 76 1162 81 Ln 1162 81 1165 83 Ln 1165 83 1169 86 Ln 1169 86 1180 90 Ln 1180 90 1185 92 Ln 1185 92 1188 94 Ln 1162 79 1165 81 Ln 1165 81 1169 83 Ln 1169 83 1180 88 Ln 1180 88 1185 90 Ln 1185 90 1188 92 Ln 1188 92 1188 99 Ln 1188 99 1185 101 Ln 1185 101 1180 104 Ln 1180 104 1171 104 Ln 1171 104 1166 101 Ln 1166 101 1165 99 Ln 1165 99 1162 94 Ln 1162 94 1162 104 Ln 1162 104 1165 99 Ln 1208 55 1206 58 Ln 1206 58 1208 61 Ln 1208 61 1211 58 Ln 1211 58 1208 55 Ln 1208 71 1208 104 Ln 1211 71 1211 104 Ln 1201 71 1211 71 Ln 1201 104 1218 104 Ln 1236 55 1236 104 Ln 1238 55 1238 104 Ln 1238 79 1242 74 Ln 1242 74 1248 71 Ln 1248 71 1252 71 Ln 1252 71 1259 74 Ln 1259 74 1264 79 Ln 1264 79 1266 86 Ln 1266 86 1266 90 Ln 1266 90 1264 97 Ln 1264 97 1259 101 Ln 1259 101 1252 104 Ln 1252 104 1248 104 Ln 1248 104 1242 101 Ln 1242 101 1238 97 Ln 1252 71 1257 74 Ln 1257 74 1262 79 Ln 1262 79 1264 86 Ln 1264 86 1264 90 Ln 1264 90 1262 97 Ln 1262 97 1257 101 Ln 1257 101 1252 104 Ln 1229 55 1238 55 Ln 1287 55 1287 104 Ln 1290 55 1290 104 Ln 1280 55 1290 55 Ln 1280 104 1297 104 Ln 1313 86 1341 86 Ln 1341 86 1341 81 Ln 1341 81 1338 76 Ln 1338 76 1337 74 Ln 1337 74 1331 71 Ln 1331 71 1325 71 Ln 1325 71 1317 74 Ln 1317 74 1313 79 Ln 1313 79 1311 86 Ln 1311 86 1311 90 Ln 1311 90 1313 97 Ln 1313 97 1317 101 Ln 1317 101 1325 104 Ln 1325 104 1329 104 Ln 1329 104 1337 101 Ln 1337 101 1341 97 Ln 1338 86 1338 79 Ln 1338 79 1337 74 Ln 1325 71 1320 74 Ln 1320 74 1315 79 Ln 1315 79 1313 86 Ln 1313 86 1313 90 Ln 1313 90 1315 97 Ln 1315 97 1320 101 Ln 1320 101 1325 104 Ln 1404 55 1413 104 Ln 1406 55 1413 92 Ln 1422 55 1413 104 Ln 1422 55 1432 104 Ln 1424 55 1432 92 Ln 1441 55 1432 104 Ln 1397 55 1413 55 Ln 1434 55 1447 55 Ln 1465 55 1465 104 Ln 1467 55 1467 104 Ln 1467 79 1471 74 Ln 1471 74 1479 71 Ln 1479 71 1483 71 Ln 1483 71 1490 74 Ln 1490 74 1492 79 Ln 1492 79 1492 104 Ln 1483 71 1488 74 Ln 1488 74 1490 79 Ln 1490 79 1490 104 Ln 1457 55 1467 55 Ln 1457 104 1474 104 Ln 1483 104 1500 104 Ln 1518 55 1516 58 Ln 1516 58 1518 61 Ln 1518 61 1520 58 Ln 1520 58 1518 55 Ln 1518 71 1518 104 Ln 1520 71 1520 104 Ln 1511 71 1520 71 Ln 1511 104 1528 104 Ln 1546 55 1546 94 Ln 1546 94 1548 101 Ln 1548 101 1552 104 Ln 1552 104 1558 104 Ln 1558 104 1562 101 Ln 1562 101 1564 97 Ln 1548 55 1548 94 Ln 1548 94 1551 101 Ln 1551 101 1552 104 Ln 1539 71 1558 71 Ln 1581 86 1609 86 Ln 1609 86 1609 81 Ln 1609 81 1607 76 Ln 1607 76 1604 74 Ln 1604 74 1599 71 Ln 1599 71 1592 71 Ln 1592 71 1585 74 Ln 1585 74 1581 79 Ln 1581 79 1579 86 Ln 1579 86 1579 90 Ln 1579 90 1581 97 Ln 1581 97 1585 101 Ln 1585 101 1592 104 Ln 1592 104 1597 104 Ln 1597 104 1604 101 Ln 1604 101 1609 97 Ln 1607 86 1607 79 Ln 1607 79 1604 74 Ln 1592 71 1588 74 Ln 1588 74 1584 79 Ln 1584 79 1581 86 Ln 1581 86 1581 90 Ln 1581 90 1584 97 Ln 1584 97 1588 101 Ln 1588 101 1592 104 Ln 1700 63 1702 55 Ln 1702 55 1702 69 Ln 1702 69 1700 63 Ln 1700 63 1695 58 Ln 1695 58 1688 55 Ln 1688 55 1681 55 Ln 1681 55 1674 58 Ln 1674 58 1670 63 Ln 1670 63 1670 67 Ln 1670 67 1672 71 Ln 1672 71 1674 74 Ln 1674 74 1678 76 Ln 1678 76 1693 81 Ln 1693 81 1697 83 Ln 1697 83 1702 88 Ln 1670 67 1674 71 Ln 1674 71 1678 74 Ln 1678 74 1693 79 Ln 1693 79 1697 81 Ln 1697 81 1700 83 Ln 1700 83 1702 88 Ln 1702 88 1702 97 Ln 1702 97 1697 101 Ln 1697 101 1690 104 Ln 1690 104 1684 104 Ln 1684 104 1676 101 Ln 1676 101 1672 97 Ln 1672 97 1670 90 Ln 1670 90 1670 104 Ln 1670 104 1672 97 Ln 1723 71 1723 97 Ln 1723 97 1726 101 Ln 1726 101 1733 104 Ln 1733 104 1737 104 Ln 1737 104 1744 101 Ln 1744 101 1749 97 Ln 1726 71 1726 97 Ln 1726 97 1727 101 Ln 1727 101 1733 104 Ln 1749 71 1749 104 Ln 1751 71 1751 104 Ln 1716 71 1726 71 Ln 1741 71 1751 71 Ln 1749 104 1759 104 Ln 1776 71 1776 119 Ln 1779 71 1779 119 Ln 1779 79 1783 74 Ln 1783 74 1788 71 Ln 1788 71 1793 71 Ln 1793 71 1800 74 Ln 1800 74 1805 79 Ln 1805 79 1806 86 Ln 1806 86 1806 90 Ln 1806 90 1805 97 Ln 1805 97 1800 101 Ln 1800 101 1793 104 Ln 1793 104 1788 104 Ln 1788 104 1783 101 Ln 1783 101 1779 97 Ln 1793 71 1798 74 Ln 1798 74 1802 79 Ln 1802 79 1805 86 Ln 1805 86 1805 90 Ln 1805 90 1802 97 Ln 1802 97 1798 101 Ln 1798 101 1793 104 Ln 1769 71 1779 71 Ln 1769 119 1786 119 Ln 1828 71 1828 119 Ln 1830 71 1830 119 Ln 1830 79 1835 74 Ln 1835 74 1839 71 Ln 1839 71 1844 71 Ln 1844 71 1851 74 Ln 1851 74 1856 79 Ln 1856 79 1858 86 Ln 1858 86 1858 90 Ln 1858 90 1856 97 Ln 1856 97 1851 101 Ln 1851 101 1844 104 Ln 1844 104 1839 104 Ln 1839 104 1835 101 Ln 1835 101 1830 97 Ln 1844 71 1849 74 Ln 1849 74 1853 79 Ln 1853 79 1856 86 Ln 1856 86 1856 90 Ln 1856 90 1853 97 Ln 1853 97 1849 101 Ln 1849 101 1844 104 Ln 1820 71 1830 71 Ln 1820 119 1838 119 Ln 1889 71 1881 74 Ln 1881 74 1877 79 Ln 1877 79 1875 86 Ln 1875 86 1875 90 Ln 1875 90 1877 97 Ln 1877 97 1881 101 Ln 1881 101 1889 104 Ln 1889 104 1893 104 Ln 1893 104 1901 101 Ln 1901 101 1905 97 Ln 1905 97 1907 90 Ln 1907 90 1907 86 Ln 1907 86 1905 79 Ln 1905 79 1901 74 Ln 1901 74 1893 71 Ln 1893 71 1889 71 Ln 1889 71 1884 74 Ln 1884 74 1879 79 Ln 1879 79 1877 86 Ln 1877 86 1877 90 Ln 1877 90 1879 97 Ln 1879 97 1884 101 Ln 1884 101 1889 104 Ln 1893 104 1898 101 Ln 1898 101 1902 97 Ln 1902 97 1905 90 Ln 1905 90 1905 86 Ln 1905 86 1902 79 Ln 1902 79 1898 74 Ln 1898 74 1893 71 Ln 1928 71 1928 104 Ln 1931 71 1931 104 Ln 1931 86 1932 79 Ln 1932 79 1938 74 Ln 1938 74 1942 71 Ln 1942 71 1949 71 Ln 1949 71 1951 74 Ln 1951 74 1951 76 Ln 1951 76 1949 79 Ln 1949 79 1947 76 Ln 1947 76 1949 74 Ln 1921 71 1931 71 Ln 1921 104 1938 104 Ln 1970 55 1970 94 Ln 1970 94 1972 101 Ln 1972 101 1977 104 Ln 1977 104 1981 104 Ln 1981 104 1986 101 Ln 1986 101 1988 97 Ln 1972 55 1972 94 Ln 1972 94 1974 101 Ln 1974 101 1977 104 Ln 1962 71 1981 71 Ln 2064 58 2061 61 Ln 2061 61 2064 63 Ln 2064 63 2066 61 Ln 2066 61 2066 58 Ln 2066 58 2064 55 Ln 2064 55 2059 55 Ln 2059 55 2054 58 Ln 2054 58 2052 63 Ln 2052 63 2052 104 Ln 2059 55 2056 58 Ln 2056 58 2054 63 Ln 2054 63 2054 104 Ln 2044 71 2064 71 Ln 2044 104 2061 104 Ln 2094 71 2086 74 Ln 2086 74 2082 79 Ln 2082 79 2080 86 Ln 2080 86 2080 90 Ln 2080 90 2082 97 Ln 2082 97 2086 101 Ln 2086 101 2094 104 Ln 2094 104 2098 104 Ln 2098 104 2106 101 Ln 2106 101 2110 97 Ln 2110 97 2112 90 Ln 2112 90 2112 86 Ln 2112 86 2110 79 Ln 2110 79 2106 74 Ln 2106 74 2098 71 Ln 2098 71 2094 71 Ln 2094 71 2089 74 Ln 2089 74 2084 79 Ln 2084 79 2082 86 Ln 2082 86 2082 90 Ln 2082 90 2084 97 Ln 2084 97 2089 101 Ln 2089 101 2094 104 Ln 2098 104 2103 101 Ln 2103 101 2107 97 Ln 2107 97 2110 90 Ln 2110 90 2110 86 Ln 2110 86 2107 79 Ln 2107 79 2103 74 Ln 2103 74 2098 71 Ln 2133 71 2133 104 Ln 2135 71 2135 104 Ln 2135 86 2138 79 Ln 2138 79 2143 74 Ln 2143 74 2147 71 Ln 2147 71 2155 71 Ln 2155 71 2156 74 Ln 2156 74 2156 76 Ln 2156 76 2155 79 Ln 2155 79 2152 76 Ln 2152 76 2155 74 Ln 2126 71 2135 71 Ln 2126 104 2143 104 Ln 2219 55 2219 104 Ln 2222 55 2222 104 Ln 2212 55 2236 55 Ln 2236 55 2243 58 Ln 2243 58 2248 63 Ln 2248 63 2249 67 Ln 2249 67 2252 74 Ln 2252 74 2252 86 Ln 2252 86 2249 92 Ln 2249 92 2248 97 Ln 2248 97 2243 101 Ln 2243 101 2236 104 Ln 2236 104 2212 104 Ln 2236 55 2241 58 Ln 2241 58 2245 63 Ln 2245 63 2248 67 Ln 2248 67 2249 74 Ln 2249 74 2249 86 Ln 2249 86 2248 92 Ln 2248 92 2245 97 Ln 2245 97 2241 101 Ln 2241 101 2236 104 Ln 2271 86 2298 86 Ln 2298 86 2298 81 Ln 2298 81 2297 76 Ln 2297 76 2294 74 Ln 2294 74 2289 71 Ln 2289 71 2282 71 Ln 2282 71 2275 74 Ln 2275 74 2271 79 Ln 2271 79 2269 86 Ln 2269 86 2269 90 Ln 2269 90 2271 97 Ln 2271 97 2275 101 Ln 2275 101 2282 104 Ln 2282 104 2287 104 Ln 2287 104 2294 101 Ln 2294 101 2298 97 Ln 2297 86 2297 79 Ln 2297 79 2294 74 Ln 2282 71 2278 74 Ln 2278 74 2273 79 Ln 2273 79 2271 86 Ln 2271 86 2271 90 Ln 2271 90 2273 97 Ln 2273 97 2278 101 Ln 2278 101 2282 104 Ln 2320 71 2320 104 Ln 2322 71 2322 104 Ln 2322 79 2327 74 Ln 2327 74 2334 71 Ln 2334 71 2338 71 Ln 2338 71 2346 74 Ln 2346 74 2348 79 Ln 2348 79 2348 104 Ln 2338 71 2343 74 Ln 2343 74 2346 79 Ln 2346 79 2346 104 Ln 2348 79 2352 74 Ln 2352 74 2360 71 Ln 2360 71 2364 71 Ln 2364 71 2371 74 Ln 2371 74 2373 79 Ln 2373 79 2373 104 Ln 2364 71 2369 74 Ln 2369 74 2371 79 Ln 2371 79 2371 104 Ln 2313 71 2322 71 Ln 2313 104 2330 104 Ln 2338 104 2355 104 Ln 2364 104 2381 104 Ln 2409 71 2401 74 Ln 2401 74 2397 79 Ln 2397 79 2394 86 Ln 2394 86 2394 90 Ln 2394 90 2397 97 Ln 2397 97 2401 101 Ln 2401 101 2409 104 Ln 2409 104 2413 104 Ln 2413 104 2420 101 Ln 2420 101 2425 97 Ln 2425 97 2427 90 Ln 2427 90 2427 86 Ln 2427 86 2425 79 Ln 2425 79 2420 74 Ln 2420 74 2413 71 Ln 2413 71 2409 71 Ln 2409 71 2403 74 Ln 2403 74 2399 79 Ln 2399 79 2397 86 Ln 2397 86 2397 90 Ln 2397 90 2399 97 Ln 2399 97 2403 101 Ln 2403 101 2409 104 Ln 2413 104 2417 101 Ln 2417 101 2423 97 Ln 2423 97 2425 90 Ln 2425 90 2425 86 Ln 2425 86 2423 79 Ln 2423 79 2417 74 Ln 2417 74 2413 71 Ln 2472 79 2469 81 Ln 2469 81 2472 83 Ln 2472 83 2473 81 Ln 2473 81 2473 79 Ln 2473 79 2469 74 Ln 2469 74 2464 71 Ln 2464 71 2457 71 Ln 2457 71 2450 74 Ln 2450 74 2446 79 Ln 2446 79 2444 86 Ln 2444 86 2444 90 Ln 2444 90 2446 97 Ln 2446 97 2450 101 Ln 2450 101 2457 104 Ln 2457 104 2462 104 Ln 2462 104 2469 101 Ln 2469 101 2473 97 Ln 2457 71 2453 74 Ln 2453 74 2448 79 Ln 2448 79 2446 86 Ln 2446 86 2446 90 Ln 2446 90 2448 97 Ln 2448 97 2453 101 Ln 2453 101 2457 104 Ln 2494 71 2494 104 Ln 2496 71 2496 104 Ln 2496 86 2499 79 Ln 2499 79 2503 74 Ln 2503 74 2508 71 Ln 2508 71 2515 71 Ln 2515 71 2518 74 Ln 2518 74 2518 76 Ln 2518 76 2515 79 Ln 2515 79 2512 76 Ln 2512 76 2515 74 Ln 2487 71 2496 71 Ln 2487 104 2503 104 Ln 2536 76 2536 79 Ln 2536 79 2535 79 Ln 2535 79 2535 76 Ln 2535 76 2536 74 Ln 2536 74 2541 71 Ln 2541 71 2551 71 Ln 2551 71 2555 74 Ln 2555 74 2558 76 Ln 2558 76 2560 81 Ln 2560 81 2560 97 Ln 2560 97 2562 101 Ln 2562 101 2565 104 Ln 2558 76 2558 97 Ln 2558 97 2560 101 Ln 2560 101 2565 104 Ln 2565 104 2567 104 Ln 2558 81 2555 83 Ln 2555 83 2541 86 Ln 2541 86 2535 88 Ln 2535 88 2532 92 Ln 2532 92 2532 97 Ln 2532 97 2535 101 Ln 2535 101 2541 104 Ln 2541 104 2548 104 Ln 2548 104 2553 101 Ln 2553 101 2558 97 Ln 2541 86 2536 88 Ln 2536 88 2535 92 Ln 2535 92 2535 97 Ln 2535 97 2536 101 Ln 2536 101 2541 104 Ln 2585 55 2585 94 Ln 2585 94 2587 101 Ln 2587 101 2592 104 Ln 2592 104 2597 104 Ln 2597 104 2601 101 Ln 2601 101 2604 97 Ln 2587 55 2587 94 Ln 2587 94 2589 101 Ln 2589 101 2592 104 Ln 2578 71 2597 71 Ln 2667 55 2667 104 Ln 2669 55 2669 104 Ln 2660 55 2688 55 Ln 2688 55 2695 58 Ln 2695 58 2697 61 Ln 2697 61 2699 65 Ln 2699 65 2699 69 Ln 2699 69 2697 74 Ln 2697 74 2695 76 Ln 2695 76 2688 79 Ln 2688 55 2693 58 Ln 2693 58 2695 61 Ln 2695 61 2697 65 Ln 2697 65 2697 69 Ln 2697 69 2695 74 Ln 2695 74 2693 76 Ln 2693 76 2688 79 Ln 2669 79 2688 79 Ln 2688 79 2695 81 Ln 2695 81 2697 83 Ln 2697 83 2699 88 Ln 2699 88 2699 94 Ln 2699 94 2697 99 Ln 2697 99 2695 101 Ln 2695 101 2688 104 Ln 2688 104 2660 104 Ln 2688 79 2693 81 Ln 2693 81 2695 83 Ln 2695 83 2697 88 Ln 2697 88 2697 94 Ln 2697 94 2695 99 Ln 2695 99 2693 101 Ln 2693 101 2688 104 Ln 2720 55 2719 58 Ln 2719 58 2720 61 Ln 2720 61 2723 58 Ln 2723 58 2720 55 Ln 2720 71 2720 104 Ln 2723 71 2723 104 Ln 2713 71 2723 71 Ln 2713 104 2730 104 Ln 2767 76 2770 71 Ln 2770 71 2770 81 Ln 2770 81 2767 76 Ln 2767 76 2764 74 Ln 2764 74 2760 71 Ln 2760 71 2750 71 Ln 2750 71 2746 74 Ln 2746 74 2744 76 Ln 2744 76 2744 81 Ln 2744 81 2746 83 Ln 2746 83 2750 86 Ln 2750 86 2762 90 Ln 2762 90 2767 92 Ln 2767 92 2770 94 Ln 2744 79 2746 81 Ln 2746 81 2750 83 Ln 2750 83 2762 88 Ln 2762 88 2767 90 Ln 2767 90 2770 92 Ln 2770 92 2770 99 Ln 2770 99 2767 101 Ln 2767 101 2762 104 Ln 2762 104 2753 104 Ln 2753 104 2749 101 Ln 2749 101 2746 99 Ln 2746 99 2744 94 Ln 2744 94 2744 104 Ln 2744 104 2746 99 Ln 2790 55 2790 104 Ln 2792 55 2792 104 Ln 2792 79 2797 74 Ln 2797 74 2804 71 Ln 2804 71 2809 71 Ln 2809 71 2816 74 Ln 2816 74 2818 79 Ln 2818 79 2818 104 Ln 2809 71 2813 74 Ln 2813 74 2816 79 Ln 2816 79 2816 104 Ln 2783 55 2792 55 Ln 2783 104 2800 104 Ln 2809 104 2825 104 Ln 2854 71 2846 74 Ln 2846 74 2842 79 Ln 2842 79 2840 86 Ln 2840 86 2840 90 Ln 2840 90 2842 97 Ln 2842 97 2846 101 Ln 2846 101 2854 104 Ln 2854 104 2858 104 Ln 2858 104 2865 101 Ln 2865 101 2870 97 Ln 2870 97 2872 90 Ln 2872 90 2872 86 Ln 2872 86 2870 79 Ln 2870 79 2865 74 Ln 2865 74 2858 71 Ln 2858 71 2854 71 Ln 2854 71 2849 74 Ln 2849 74 2844 79 Ln 2844 79 2842 86 Ln 2842 86 2842 90 Ln 2842 90 2844 97 Ln 2844 97 2849 101 Ln 2849 101 2854 104 Ln 2858 104 2862 101 Ln 2862 101 2868 97 Ln 2868 97 2870 90 Ln 2870 90 2870 86 Ln 2870 86 2868 79 Ln 2868 79 2862 74 Ln 2862 74 2858 71 Ln 2892 71 2892 119 Ln 2895 71 2895 119 Ln 2895 79 2899 74 Ln 2899 74 2904 71 Ln 2904 71 2909 71 Ln 2909 71 2916 74 Ln 2916 74 2921 79 Ln 2921 79 2922 86 Ln 2922 86 2922 90 Ln 2922 90 2921 97 Ln 2921 97 2916 101 Ln 2916 101 2909 104 Ln 2909 104 2904 104 Ln 2904 104 2899 101 Ln 2899 101 2895 97 Ln 2909 71 2914 74 Ln 2914 74 2918 79 Ln 2918 79 2921 86 Ln 2921 86 2921 90 Ln 2921 90 2918 97 Ln 2918 97 2914 101 Ln 2914 101 2909 104 Ln 2885 71 2895 71 Ln 2885 119 2902 119 Ln 2973 927 2924 927 Ln 2973 929 2924 929 Ln 2960 943 2940 943 Ln 2973 920 2973 957 Ln 2973 957 2960 957 Ln 2960 957 2973 954 Ln 2950 929 2950 943 Ln 2924 920 2924 936 Ln 2973 975 2924 975 Ln 2973 977 2924 977 Ln 2973 967 2973 984 Ln 2924 967 2924 984 Ln 2966 1030 2960 1032 Ln 2960 1032 2973 1032 Ln 2973 1032 2966 1030 Ln 2966 1030 2971 1026 Ln 2971 1026 2973 1018 Ln 2973 1018 2973 1014 Ln 2973 1014 2971 1007 Ln 2971 1007 2966 1003 Ln 2966 1003 2961 1000 Ln 2961 1000 2954 999 Ln 2954 999 2942 999 Ln 2942 999 2936 1000 Ln 2936 1000 2931 1003 Ln 2931 1003 2927 1007 Ln 2927 1007 2924 1014 Ln 2924 1014 2924 1018 Ln 2924 1018 2927 1026 Ln 2927 1026 2931 1030 Ln 2973 1014 2971 1009 Ln 2971 1009 2966 1005 Ln 2966 1005 2961 1003 Ln 2961 1003 2954 1000 Ln 2954 1000 2942 1000 Ln 2942 1000 2936 1003 Ln 2936 1003 2931 1005 Ln 2931 1005 2927 1009 Ln 2927 1009 2924 1014 Ln 2942 1030 2924 1030 Ln 2942 1032 2924 1032 Ln 2942 1024 2942 1039 Ln 2973 1057 2938 1057 Ln 2938 1057 2931 1060 Ln 2931 1060 2927 1064 Ln 2927 1064 2924 1071 Ln 2924 1071 2924 1075 Ln 2924 1075 2927 1083 Ln 2927 1083 2931 1087 Ln 2931 1087 2938 1089 Ln 2938 1089 2973 1089 Ln 2973 1060 2938 1060 Ln 2938 1060 2931 1062 Ln 2931 1062 2927 1067 Ln 2927 1067 2924 1071 Ln 2973 1050 2973 1067 Ln 2973 1083 2973 1096 Ln 2973 1114 2924 1114 Ln 2973 1117 2924 1117 Ln 2973 1107 2973 1135 Ln 2973 1135 2971 1142 Ln 2971 1142 2968 1144 Ln 2968 1144 2964 1146 Ln 2964 1146 2960 1146 Ln 2960 1146 2954 1144 Ln 2954 1144 2952 1142 Ln 2952 1142 2950 1135 Ln 2950 1135 2950 1117 Ln 2973 1135 2971 1140 Ln 2971 1140 2968 1142 Ln 2968 1142 2964 1144 Ln 2964 1144 2960 1144 Ln 2960 1144 2954 1142 Ln 2954 1142 2952 1140 Ln 2952 1140 2950 1135 Ln 2924 1107 2924 1124 Ln 2950 1128 2948 1132 Ln 2948 1132 2945 1135 Ln 2945 1135 2928 1142 Ln 2928 1142 2927 1144 Ln 2927 1144 2927 1146 Ln 2927 1146 2928 1149 Ln 2948 1132 2942 1135 Ln 2942 1135 2927 1140 Ln 2927 1140 2924 1142 Ln 2924 1142 2924 1146 Ln 2924 1146 2928 1149 Ln 2928 1149 2931 1149 Ln 2973 1168 2924 1168 Ln 2973 1170 2924 1170 Ln 2960 1183 2940 1183 Ln 2973 1160 2973 1197 Ln 2973 1197 2960 1197 Ln 2960 1197 2973 1195 Ln 2950 1170 2950 1183 Ln 2924 1160 2924 1197 Ln 2924 1197 2938 1197 Ln 2938 1197 2924 1195 Ln 2964 1259 2961 1261 Ln 2961 1261 2960 1259 Ln 2960 1259 2961 1257 Ln 2961 1257 2964 1257 Ln 2964 1257 2968 1259 Ln 2968 1259 2971 1261 Ln 2971 1261 2973 1268 Ln 2973 1268 2973 1277 Ln 2973 1277 2971 1285 Ln 2971 1285 2968 1286 Ln 2968 1286 2964 1289 Ln 2964 1289 2960 1289 Ln 2960 1289 2954 1286 Ln 2954 1286 2950 1279 Ln 2950 1279 2945 1268 Ln 2945 1268 2942 1264 Ln 2942 1264 2938 1259 Ln 2938 1259 2931 1257 Ln 2931 1257 2924 1257 Ln 2973 1277 2971 1282 Ln 2971 1282 2968 1285 Ln 2968 1285 2964 1286 Ln 2964 1286 2960 1286 Ln 2960 1286 2954 1285 Ln 2954 1285 2950 1277 Ln 2950 1277 2945 1268 Ln 2928 1257 2931 1259 Ln 2931 1259 2931 1264 Ln 2931 1264 2927 1275 Ln 2927 1275 2927 1282 Ln 2927 1282 2928 1286 Ln 2928 1286 2931 1289 Ln 2931 1264 2924 1275 Ln 2924 1275 2924 1285 Ln 2924 1285 2927 1286 Ln 2927 1286 2931 1289 Ln 2931 1289 2936 1289 Ln 2957 1310 2954 1307 Ln 2954 1307 2952 1310 Ln 2952 1310 2954 1312 Ln 2954 1312 2957 1310 Ln 2928 1310 2927 1307 Ln 2927 1307 2924 1310 Ln 2924 1310 2927 1312 Ln 2927 1312 2928 1310 Ln 2862 481 2855 483 Ln 2855 483 2869 483 Ln 2869 483 2862 481 Ln 2862 481 2867 477 Ln 2867 477 2869 470 Ln 2869 470 2869 465 Ln 2869 465 2867 458 Ln 2867 458 2862 454 Ln 2862 454 2858 452 Ln 2858 452 2850 449 Ln 2850 449 2838 449 Ln 2838 449 2832 452 Ln 2832 452 2828 454 Ln 2828 454 2822 458 Ln 2822 458 2820 465 Ln 2820 465 2820 470 Ln 2820 470 2822 477 Ln 2822 477 2828 481 Ln 2828 481 2832 483 Ln 2869 465 2867 460 Ln 2867 460 2862 456 Ln 2862 456 2858 454 Ln 2858 454 2850 452 Ln 2850 452 2838 452 Ln 2838 452 2832 454 Ln 2832 454 2828 456 Ln 2828 456 2822 460 Ln 2822 460 2820 465 Ln 2853 513 2850 506 Ln 2850 506 2846 502 Ln 2846 502 2838 500 Ln 2838 500 2834 500 Ln 2834 500 2828 502 Ln 2828 502 2822 506 Ln 2822 506 2820 513 Ln 2820 513 2820 518 Ln 2820 518 2822 525 Ln 2822 525 2828 530 Ln 2828 530 2834 531 Ln 2834 531 2838 531 Ln 2838 531 2846 530 Ln 2846 530 2850 525 Ln 2850 525 2853 518 Ln 2853 518 2853 513 Ln 2853 513 2850 509 Ln 2850 509 2846 504 Ln 2846 504 2838 502 Ln 2838 502 2834 502 Ln 2834 502 2828 504 Ln 2828 504 2822 509 Ln 2822 509 2820 513 Ln 2820 518 2822 522 Ln 2822 522 2828 527 Ln 2828 527 2834 530 Ln 2834 530 2838 530 Ln 2838 530 2846 527 Ln 2846 527 2850 522 Ln 2850 522 2853 518 Ln 2853 552 2820 552 Ln 2853 555 2820 555 Ln 2846 555 2850 559 Ln 2850 559 2853 566 Ln 2853 566 2853 570 Ln 2853 570 2850 578 Ln 2850 578 2846 580 Ln 2846 580 2820 580 Ln 2853 570 2850 575 Ln 2850 575 2846 578 Ln 2846 578 2820 578 Ln 2853 545 2853 555 Ln 2820 545 2820 562 Ln 2820 570 2820 587 Ln 2869 605 2829 605 Ln 2829 605 2822 607 Ln 2822 607 2820 612 Ln 2820 612 2820 617 Ln 2820 617 2822 621 Ln 2822 621 2828 623 Ln 2869 607 2829 607 Ln 2829 607 2822 609 Ln 2822 609 2820 612 Ln 2853 598 2853 617 Ln 2838 639 2838 667 Ln 2838 667 2843 667 Ln 2843 667 2848 665 Ln 2848 665 2850 663 Ln 2850 663 2853 657 Ln 2853 657 2853 651 Ln 2853 651 2850 644 Ln 2850 644 2846 639 Ln 2846 639 2838 638 Ln 2838 638 2834 638 Ln 2834 638 2828 639 Ln 2828 639 2822 644 Ln 2822 644 2820 651 Ln 2820 651 2820 656 Ln 2820 656 2822 663 Ln 2822 663 2828 667 Ln 2838 665 2846 665 Ln 2846 665 2850 663 Ln 2853 651 2850 646 Ln 2850 646 2846 642 Ln 2846 642 2838 639 Ln 2838 639 2834 639 Ln 2834 639 2828 642 Ln 2828 642 2822 646 Ln 2822 646 2820 651 Ln 2853 685 2820 710 Ln 2853 687 2820 713 Ln 2853 713 2820 685 Ln 2853 680 2853 693 Ln 2853 703 2853 717 Ln 2820 680 2820 693 Ln 2820 703 2820 717 Ln 2869 735 2829 735 Ln 2829 735 2822 738 Ln 2822 738 2820 742 Ln 2820 742 2820 747 Ln 2820 747 2822 751 Ln 2822 751 2828 753 Ln 2869 738 2829 738 Ln 2829 738 2822 740 Ln 2822 740 2820 742 Ln 2853 728 2853 747 Ln 2853 772 2828 772 Ln 2828 772 2822 774 Ln 2822 774 2820 782 Ln 2820 782 2820 786 Ln 2820 786 2822 793 Ln 2822 793 2828 798 Ln 2853 774 2828 774 Ln 2828 774 2822 777 Ln 2822 777 2820 782 Ln 2853 798 2820 798 Ln 2853 799 2820 799 Ln 2853 765 2853 774 Ln 2853 790 2853 799 Ln 2820 798 2820 807 Ln 2848 825 2846 825 Ln 2846 825 2846 823 Ln 2846 823 2848 823 Ln 2848 823 2850 825 Ln 2850 825 2853 829 Ln 2853 829 2853 838 Ln 2853 838 2850 843 Ln 2850 843 2848 846 Ln 2848 846 2843 848 Ln 2843 848 2828 848 Ln 2828 848 2822 850 Ln 2822 850 2820 852 Ln 2848 846 2828 846 Ln 2828 846 2822 848 Ln 2822 848 2820 852 Ln 2820 852 2820 854 Ln 2843 846 2841 843 Ln 2841 843 2838 829 Ln 2838 829 2836 823 Ln 2836 823 2832 820 Ln 2832 820 2828 820 Ln 2828 820 2822 823 Ln 2822 823 2820 829 Ln 2820 829 2820 836 Ln 2820 836 2822 841 Ln 2822 841 2828 846 Ln 2838 829 2836 825 Ln 2836 825 2832 823 Ln 2832 823 2828 823 Ln 2828 823 2822 825 Ln 2822 825 2820 829 Ln 2869 873 2820 873 Ln 2869 875 2820 875 Ln 2869 866 2869 875 Ln 2820 866 2820 882 Ln 2869 945 2820 945 Ln 2869 946 2820 946 Ln 2855 960 2836 960 Ln 2869 937 2869 974 Ln 2869 974 2855 974 Ln 2855 974 2869 972 Ln 2846 946 2846 960 Ln 2820 937 2820 974 Ln 2820 974 2834 974 Ln 2834 974 2820 972 Ln 2867 1006 2864 1004 Ln 2864 1004 2862 1006 Ln 2862 1006 2864 1008 Ln 2864 1008 2867 1008 Ln 2867 1008 2869 1006 Ln 2869 1006 2869 1002 Ln 2869 1002 2867 997 Ln 2867 997 2862 995 Ln 2862 995 2820 995 Ln 2869 1002 2867 999 Ln 2867 999 2862 997 Ln 2862 997 2820 997 Ln 2853 988 2853 1006 Ln 2820 988 2820 1004 Ln 2867 1038 2864 1036 Ln 2864 1036 2862 1038 Ln 2862 1038 2864 1040 Ln 2864 1040 2867 1040 Ln 2867 1040 2869 1038 Ln 2869 1038 2869 1033 Ln 2869 1033 2867 1029 Ln 2867 1029 2862 1027 Ln 2862 1027 2820 1027 Ln 2869 1033 2867 1031 Ln 2867 1031 2862 1029 Ln 2862 1029 2820 1029 Ln 2853 1020 2853 1038 Ln 2820 1020 2820 1036 Ln 2838 1057 2838 1084 Ln 2838 1084 2843 1084 Ln 2843 1084 2848 1082 Ln 2848 1082 2850 1080 Ln 2850 1080 2853 1075 Ln 2853 1075 2853 1068 Ln 2853 1068 2850 1061 Ln 2850 1061 2846 1057 Ln 2846 1057 2838 1054 Ln 2838 1054 2834 1054 Ln 2834 1054 2828 1057 Ln 2828 1057 2822 1061 Ln 2822 1061 2820 1068 Ln 2820 1068 2820 1072 Ln 2820 1072 2822 1080 Ln 2822 1080 2828 1084 Ln 2838 1082 2846 1082 Ln 2846 1082 2850 1080 Ln 2853 1068 2850 1063 Ln 2850 1063 2846 1059 Ln 2846 1059 2838 1057 Ln 2838 1057 2834 1057 Ln 2834 1057 2828 1059 Ln 2828 1059 2822 1063 Ln 2822 1063 2820 1068 Ln 2846 1128 2843 1126 Ln 2843 1126 2841 1128 Ln 2841 1128 2843 1130 Ln 2843 1130 2846 1130 Ln 2846 1130 2850 1126 Ln 2850 1126 2853 1121 Ln 2853 1121 2853 1114 Ln 2853 1114 2850 1107 Ln 2850 1107 2846 1103 Ln 2846 1103 2838 1101 Ln 2838 1101 2834 1101 Ln 2834 1101 2828 1103 Ln 2828 1103 2822 1107 Ln 2822 1107 2820 1114 Ln 2820 1114 2820 1119 Ln 2820 1119 2822 1126 Ln 2822 1126 2828 1130 Ln 2853 1114 2850 1109 Ln 2850 1109 2846 1105 Ln 2846 1105 2838 1103 Ln 2838 1103 2834 1103 Ln 2834 1103 2828 1105 Ln 2828 1105 2822 1109 Ln 2822 1109 2820 1114 Ln 2869 1150 2829 1150 Ln 2829 1150 2822 1153 Ln 2822 1153 2820 1157 Ln 2820 1157 2820 1162 Ln 2820 1162 2822 1166 Ln 2822 1166 2828 1168 Ln 2869 1153 2829 1153 Ln 2829 1153 2822 1155 Ln 2822 1155 2820 1157 Ln 2853 1143 2853 1162 Ln 2869 1231 2820 1231 Ln 2869 1233 2820 1233 Ln 2869 1224 2869 1247 Ln 2869 1247 2867 1254 Ln 2867 1254 2862 1258 Ln 2862 1258 2858 1261 Ln 2858 1261 2850 1262 Ln 2850 1262 2838 1262 Ln 2838 1262 2832 1261 Ln 2832 1261 2828 1258 Ln 2828 1258 2822 1254 Ln 2822 1254 2820 1247 Ln 2820 1247 2820 1224 Ln 2869 1247 2867 1252 Ln 2867 1252 2862 1256 Ln 2862 1256 2858 1258 Ln 2858 1258 2850 1261 Ln 2850 1261 2838 1261 Ln 2838 1261 2832 1258 Ln 2832 1258 2828 1256 Ln 2828 1256 2822 1252 Ln 2822 1252 2820 1247 Ln 2838 1282 2838 1309 Ln 2838 1309 2843 1309 Ln 2843 1309 2848 1307 Ln 2848 1307 2850 1304 Ln 2850 1304 2853 1300 Ln 2853 1300 2853 1293 Ln 2853 1293 2850 1286 Ln 2850 1286 2846 1282 Ln 2846 1282 2838 1279 Ln 2838 1279 2834 1279 Ln 2834 1279 2828 1282 Ln 2828 1282 2822 1286 Ln 2822 1286 2820 1293 Ln 2820 1293 2820 1297 Ln 2820 1297 2822 1304 Ln 2822 1304 2828 1309 Ln 2838 1307 2846 1307 Ln 2846 1307 2850 1304 Ln 2853 1293 2850 1288 Ln 2850 1288 2846 1283 Ln 2846 1283 2838 1282 Ln 2838 1282 2834 1282 Ln 2834 1282 2828 1283 Ln 2828 1283 2822 1288 Ln 2822 1288 2820 1293 Ln 2869 1329 2829 1329 Ln 2829 1329 2822 1331 Ln 2822 1331 2820 1336 Ln 2820 1336 2820 1340 Ln 2820 1340 2822 1345 Ln 2822 1345 2828 1347 Ln 2869 1331 2829 1331 Ln 2829 1331 2822 1333 Ln 2822 1333 2820 1336 Ln 2853 1322 2853 1340 Ln 2838 1364 2838 1391 Ln 2838 1391 2843 1391 Ln 2843 1391 2848 1389 Ln 2848 1389 2850 1387 Ln 2850 1387 2853 1382 Ln 2853 1382 2853 1375 Ln 2853 1375 2850 1368 Ln 2850 1368 2846 1364 Ln 2846 1364 2838 1361 Ln 2838 1361 2834 1361 Ln 2834 1361 2828 1364 Ln 2828 1364 2822 1368 Ln 2822 1368 2820 1375 Ln 2820 1375 2820 1379 Ln 2820 1379 2822 1387 Ln 2822 1387 2828 1391 Ln 2838 1389 2846 1389 Ln 2846 1389 2850 1387 Ln 2853 1375 2850 1370 Ln 2850 1370 2846 1366 Ln 2846 1366 2838 1364 Ln 2838 1364 2834 1364 Ln 2834 1364 2828 1366 Ln 2828 1366 2822 1370 Ln 2822 1370 2820 1375 Ln 2846 1435 2843 1433 Ln 2843 1433 2841 1435 Ln 2841 1435 2843 1437 Ln 2843 1437 2846 1437 Ln 2846 1437 2850 1433 Ln 2850 1433 2853 1428 Ln 2853 1428 2853 1421 Ln 2853 1421 2850 1414 Ln 2850 1414 2846 1410 Ln 2846 1410 2838 1408 Ln 2838 1408 2834 1408 Ln 2834 1408 2828 1410 Ln 2828 1410 2822 1414 Ln 2822 1414 2820 1421 Ln 2820 1421 2820 1426 Ln 2820 1426 2822 1433 Ln 2822 1433 2828 1437 Ln 2853 1421 2850 1416 Ln 2850 1416 2846 1412 Ln 2846 1412 2838 1410 Ln 2838 1410 2834 1410 Ln 2834 1410 2828 1412 Ln 2828 1412 2822 1416 Ln 2822 1416 2820 1421 Ln 2869 1458 2829 1458 Ln 2829 1458 2822 1460 Ln 2822 1460 2820 1464 Ln 2820 1464 2820 1469 Ln 2820 1469 2822 1474 Ln 2822 1474 2828 1476 Ln 2869 1460 2829 1460 Ln 2829 1460 2822 1462 Ln 2822 1462 2820 1464 Ln 2853 1451 2853 1469 Ln 2838 1493 2838 1520 Ln 2838 1520 2843 1520 Ln 2843 1520 2848 1518 Ln 2848 1518 2850 1515 Ln 2850 1515 2853 1511 Ln 2853 1511 2853 1504 Ln 2853 1504 2850 1497 Ln 2850 1497 2846 1493 Ln 2846 1493 2838 1490 Ln 2838 1490 2834 1490 Ln 2834 1490 2828 1493 Ln 2828 1493 2822 1497 Ln 2822 1497 2820 1504 Ln 2820 1504 2820 1508 Ln 2820 1508 2822 1515 Ln 2822 1515 2828 1520 Ln 2838 1518 2846 1518 Ln 2846 1518 2850 1515 Ln 2853 1504 2850 1499 Ln 2850 1499 2846 1495 Ln 2846 1495 2838 1493 Ln 2838 1493 2834 1493 Ln 2834 1493 2828 1495 Ln 2828 1495 2822 1499 Ln 2822 1499 2820 1504 Ln 2869 1563 2820 1563 Ln 2869 1565 2820 1565 Ln 2846 1563 2850 1558 Ln 2850 1558 2853 1554 Ln 2853 1554 2853 1550 Ln 2853 1550 2850 1542 Ln 2850 1542 2846 1538 Ln 2846 1538 2838 1536 Ln 2838 1536 2834 1536 Ln 2834 1536 2828 1538 Ln 2828 1538 2822 1542 Ln 2822 1542 2820 1550 Ln 2820 1550 2820 1554 Ln 2820 1554 2822 1558 Ln 2822 1558 2828 1563 Ln 2853 1550 2850 1544 Ln 2850 1544 2846 1540 Ln 2846 1540 2838 1538 Ln 2838 1538 2834 1538 Ln 2834 1538 2828 1540 Ln 2828 1540 2822 1544 Ln 2822 1544 2820 1550 Ln 2869 1556 2869 1565 Ln 2820 1563 2820 1572 Ln 2869 1634 2820 1634 Ln 2869 1637 2820 1637 Ln 2846 1637 2850 1641 Ln 2850 1641 2853 1646 Ln 2853 1646 2853 1650 Ln 2853 1650 2850 1658 Ln 2850 1658 2846 1662 Ln 2846 1662 2838 1664 Ln 2838 1664 2834 1664 Ln 2834 1664 2828 1662 Ln 2828 1662 2822 1658 Ln 2822 1658 2820 1650 Ln 2820 1650 2820 1646 Ln 2820 1646 2822 1641 Ln 2822 1641 2828 1637 Ln 2853 1650 2850 1655 Ln 2850 1655 2846 1659 Ln 2846 1659 2838 1662 Ln 2838 1662 2834 1662 Ln 2834 1662 2828 1659 Ln 2828 1659 2822 1655 Ln 2822 1655 2820 1650 Ln 2869 1627 2869 1637 Ln 2853 1683 2820 1697 Ln 2853 1685 2825 1697 Ln 2853 1710 2820 1697 Ln 2820 1697 2812 1691 Ln 2812 1691 2807 1687 Ln 2807 1687 2805 1683 Ln 2805 1683 2805 1680 Ln 2805 1680 2807 1677 Ln 2807 1677 2809 1680 Ln 2809 1680 2807 1683 Ln 2853 1677 2853 1691 Ln 2853 1701 2853 1715 Ln 2869 1774 2820 1774 Ln 2869 1776 2820 1776 Ln 2855 1790 2836 1790 Ln 2869 1767 2869 1804 Ln 2869 1804 2855 1804 Ln 2855 1804 2869 1802 Ln 2846 1776 2846 1790 Ln 2820 1767 2820 1804 Ln 2820 1804 2834 1804 Ln 2834 1804 2820 1802 Ln 2869 1825 2820 1825 Ln 2869 1827 2820 1827 Ln 2869 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946 1614 949 Ln 1614 947 1614 948 Ln 1614 947 10 Pix 1511 388 10 Pix 1511 388 1512 389 Ln 1512 389 10 Pix 1512 389 1512 389 Ln 1512 389 10 Pix 1512 389 1512 391 Ln 1512 391 10 Pix 1512 391 1511 391 Ln 1511 391 10 Pix 1511 391 1510 391 Ln 1510 391 10 Pix 1510 391 1509 389 Ln 1509 389 10 Pix 1509 389 1510 389 Ln 1510 389 10 Pix 1510 389 1511 388 Ln 1511 388 10 Pix 1511 389 1511 391 Ln 1512 389 10 Pix 1512 389 1512 391 Ln 1512 389 1512 391 Ln 1512 389 1512 391 Ln 1511 389 1511 391 Ln 1510 389 1510 391 Ln 1510 389 1510 391 Ln 1510 389 10 Pix 1741 560 10 Pix 1741 560 1741 561 Ln 1741 561 10 Pix 1741 561 1742 562 Ln 1742 562 10 Pix 1742 562 1741 563 Ln 1741 563 10 Pix 1741 563 1741 563 Ln 1741 563 10 Pix 1741 563 1740 563 Ln 1740 563 10 Pix 1740 563 1739 562 Ln 1739 562 10 Pix 1739 562 1740 561 Ln 1740 561 10 Pix 1740 561 1741 560 Ln 1741 560 10 Pix 1741 562 1741 563 Ln 1742 562 10 Pix 1742 562 1742 563 Ln 1742 561 1742 563 Ln 1741 561 1741 563 Ln 1741 561 1741 563 Ln 1740 561 1740 563 Ln 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564 Ln 1819 563 10 Pix 1819 563 1819 564 Ln 1819 563 1819 564 Ln 1818 563 1818 564 Ln 1818 563 1818 564 Ln 1817 563 1817 564 Ln 1817 563 1817 564 Ln 1817 563 10 Pix 1678 719 10 Pix 1678 719 1679 720 Ln 1679 720 10 Pix 1679 720 1680 720 Ln 1680 720 10 Pix 1680 720 1679 721 Ln 1679 721 10 Pix 1679 721 1678 722 Ln 1678 722 10 Pix 1678 722 1678 721 Ln 1678 721 10 Pix 1678 721 1677 720 Ln 1677 720 10 Pix 1677 720 1678 720 Ln 1678 720 10 Pix 1678 720 1678 719 Ln 1678 719 10 Pix 1678 720 1678 721 Ln 1680 720 10 Pix 1680 720 1680 721 Ln 1680 720 1680 722 Ln 1679 720 1679 722 Ln 1678 720 1678 722 Ln 1678 720 1678 722 Ln 1678 720 1678 721 Ln 1678 720 10 Pix 1618 376 10 Pix 1618 376 1618 377 Ln 1618 377 10 Pix 1618 377 1619 377 Ln 1619 377 10 Pix 1619 377 1618 378 Ln 1618 378 10 Pix 1618 378 1618 379 Ln 1618 379 10 Pix 1618 379 1617 378 Ln 1617 378 10 Pix 1617 378 1616 377 Ln 1616 377 10 Pix 1616 377 1617 377 Ln 1617 377 10 Pix 1617 377 1618 376 Ln 1618 376 10 Pix 1618 377 1618 378 Ln 1619 377 10 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1518 347 Ln 1516 345 1516 347 Ln 1516 346 1516 346 Ln 1516 346 10 Pix 1664 412 10 Pix 1664 412 1664 413 Ln 1664 413 10 Pix 1664 413 1665 413 Ln 1665 413 10 Pix 1665 413 1664 414 Ln 1664 414 10 Pix 1664 414 1664 415 Ln 1664 415 10 Pix 1664 415 1663 414 Ln 1663 414 10 Pix 1663 414 1662 413 Ln 1662 413 10 Pix 1662 413 1663 413 Ln 1663 413 10 Pix 1663 413 1664 412 Ln 1664 412 10 Pix 1664 413 1664 414 Ln 1665 413 10 Pix 1665 413 1665 414 Ln 1665 413 1665 415 Ln 1664 413 1664 415 Ln 1664 413 1664 415 Ln 1663 413 1663 415 Ln 1663 413 1663 414 Ln 1663 413 10 Pix 2122 1737 10 Pix 2122 1737 2122 1737 Ln 2122 1737 10 Pix 2122 1737 2123 1738 Ln 2123 1738 10 Pix 2123 1738 2122 1739 Ln 2122 1739 10 Pix 2122 1739 2122 1740 Ln 2122 1740 10 Pix 2122 1740 2120 1739 Ln 2120 1739 10 Pix 2120 1739 2120 1738 Ln 2120 1738 10 Pix 2120 1738 2120 1737 Ln 2120 1737 10 Pix 2120 1737 2122 1737 Ln 2122 1737 10 Pix 2122 1738 2122 1739 Ln 2123 1738 10 Pix 2123 1738 2123 1739 Ln 2123 1737 2123 1740 Ln 2122 1737 2122 1740 Ln 2122 1737 2122 1740 Ln 2120 1737 2120 1740 Ln 2120 1738 2120 1739 Ln 2120 1738 10 Pix 1650 877 10 Pix 1650 877 1651 878 Ln 1651 878 10 Pix 1651 878 1651 879 Ln 1651 879 10 Pix 1651 879 1651 879 Ln 1651 879 10 Pix 1651 879 1650 880 Ln 1650 880 10 Pix 1650 880 1649 879 Ln 1649 879 10 Pix 1649 879 1648 879 Ln 1648 879 10 Pix 1648 879 1649 878 Ln 1649 878 10 Pix 1649 878 1650 877 Ln 1650 877 10 Pix 1650 879 1650 879 Ln 1651 879 10 Pix 1651 879 1651 879 Ln 1651 878 1651 880 Ln 1651 878 1651 880 Ln 1650 878 1650 880 Ln 1649 878 1649 880 Ln 1649 879 1649 879 Ln 1649 879 10 Pix 1672 566 10 Pix 1672 566 1673 566 Ln 1673 566 10 Pix 1673 566 1673 567 Ln 1673 567 10 Pix 1673 567 1673 567 Ln 1673 567 10 Pix 1673 567 1672 569 Ln 1672 569 10 Pix 1672 569 1671 567 Ln 1671 567 10 Pix 1671 567 1670 567 Ln 1670 567 10 Pix 1670 567 1671 566 Ln 1671 566 10 Pix 1671 566 1672 566 Ln 1672 566 10 Pix 1672 567 1672 567 Ln 1673 567 10 Pix 1673 567 1673 567 Ln 1673 566 1673 569 Ln 1673 566 1673 569 Ln 1672 566 1672 569 Ln 1671 566 1671 569 Ln 1671 567 1671 567 Ln 1671 567 10 Pix 1769 313 10 Pix 1769 313 1769 314 Ln 1769 314 10 Pix 1769 314 1770 315 Ln 1770 315 10 Pix 1770 315 1769 316 Ln 1769 316 10 Pix 1769 316 1769 316 Ln 1769 316 10 Pix 1769 316 1767 316 Ln 1767 316 10 Pix 1767 316 1767 315 Ln 1767 315 10 Pix 1767 315 1767 314 Ln 1767 314 10 Pix 1767 314 1769 313 Ln 1769 313 10 Pix 1769 315 1769 316 Ln 1770 315 10 Pix 1770 315 1770 316 Ln 1770 314 1770 316 Ln 1769 314 1769 316 Ln 1769 314 1769 316 Ln 1767 314 1767 316 Ln 1767 315 1767 316 Ln 1767 315 10 Pix 1713 383 10 Pix 1713 383 1714 384 Ln 1714 384 10 Pix 1714 384 1714 385 Ln 1714 385 10 Pix 1714 385 1714 385 Ln 1714 385 10 Pix 1714 385 1713 386 Ln 1713 386 10 Pix 1713 386 1712 385 Ln 1712 385 10 Pix 1712 385 1711 385 Ln 1711 385 10 Pix 1711 385 1712 384 Ln 1712 384 10 Pix 1712 384 1713 383 Ln 1713 383 10 Pix 1713 385 1713 385 Ln 1714 385 10 Pix 1714 385 1714 385 Ln 1714 384 1714 386 Ln 1714 384 1714 386 Ln 1713 384 1713 386 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764 Ln 1747 762 1747 763 Ln 1747 762 10 Pix 1911 485 10 Pix 1911 485 1911 486 Ln 1911 486 10 Pix 1911 486 1912 487 Ln 1912 487 10 Pix 1912 487 1911 488 Ln 1911 488 10 Pix 1911 488 1911 488 Ln 1911 488 10 Pix 1911 488 1910 488 Ln 1910 488 10 Pix 1910 488 1909 487 Ln 1909 487 10 Pix 1909 487 1910 486 Ln 1910 486 10 Pix 1910 486 1911 485 Ln 1911 485 10 Pix 1911 487 1911 488 Ln 1912 487 10 Pix 1912 487 1912 488 Ln 1912 486 1912 488 Ln 1911 486 1911 488 Ln 1911 486 1911 488 Ln 1910 486 1910 488 Ln 1910 487 1910 488 Ln 1910 487 10 Pix 1726 344 10 Pix 1726 344 1727 345 Ln 1727 345 10 Pix 1727 345 1727 346 Ln 1727 346 10 Pix 1727 346 1727 346 Ln 1727 346 10 Pix 1727 346 1726 347 Ln 1726 347 10 Pix 1726 347 1726 346 Ln 1726 346 10 Pix 1726 346 1724 346 Ln 1724 346 10 Pix 1724 346 1726 345 Ln 1726 345 10 Pix 1726 345 1726 344 Ln 1726 344 10 Pix 1726 346 1726 346 Ln 1727 346 10 Pix 1727 346 1727 346 Ln 1727 345 1727 347 Ln 1727 345 1727 347 Ln 1726 345 1726 347 Ln 1726 345 1726 347 Ln 1726 346 1726 346 Ln 1726 346 10 Pix 1759 792 10 Pix 1759 792 1759 792 Ln 1759 792 10 Pix 1759 792 1760 793 Ln 1760 793 10 Pix 1760 793 1759 794 Ln 1759 794 10 Pix 1759 794 1759 795 Ln 1759 795 10 Pix 1759 795 1757 794 Ln 1757 794 10 Pix 1757 794 1757 793 Ln 1757 793 10 Pix 1757 793 1757 792 Ln 1757 792 10 Pix 1757 792 1759 792 Ln 1759 792 10 Pix 1759 793 1759 794 Ln 1760 793 10 Pix 1760 793 1760 794 Ln 1760 792 1760 795 Ln 1759 792 1759 795 Ln 1759 792 1759 795 Ln 1757 792 1757 795 Ln 1757 793 1757 794 Ln 1757 793 10 Pix 1841 380 10 Pix 1841 380 1842 381 Ln 1842 381 10 Pix 1842 381 1842 382 Ln 1842 382 10 Pix 1842 382 1842 383 Ln 1842 383 10 Pix 1842 383 1841 383 Ln 1841 383 10 Pix 1841 383 1840 383 Ln 1840 383 10 Pix 1840 383 1839 382 Ln 1839 382 10 Pix 1839 382 1840 381 Ln 1840 381 10 Pix 1840 381 1841 380 Ln 1841 380 10 Pix 1841 382 1841 383 Ln 1842 382 10 Pix 1842 382 1842 383 Ln 1842 381 1842 383 Ln 1842 381 1842 383 Ln 1841 381 1841 383 Ln 1840 381 1840 383 Ln 1840 382 1840 383 Ln 1840 382 10 Pix 1700 335 10 Pix 1700 335 1700 335 Ln 1700 335 10 Pix 1700 335 1701 337 Ln 1701 337 10 Pix 1701 337 1700 337 Ln 1700 337 10 Pix 1700 337 1700 338 Ln 1700 338 10 Pix 1700 338 1699 337 Ln 1699 337 10 Pix 1699 337 1698 337 Ln 1698 337 10 Pix 1698 337 1699 335 Ln 1699 335 10 Pix 1699 335 1700 335 Ln 1700 335 10 Pix 1700 337 1700 337 Ln 1701 337 10 Pix 1701 337 1701 337 Ln 1701 335 1701 338 Ln 1700 335 1700 338 Ln 1700 335 1700 338 Ln 1699 335 1699 338 Ln 1699 337 1699 337 Ln 1699 337 10 Pix 1805 322 10 Pix 1805 322 1805 323 Ln 1805 323 10 Pix 1805 323 1806 323 Ln 1806 323 10 Pix 1806 323 1805 324 Ln 1805 324 10 Pix 1805 324 1805 325 Ln 1805 325 10 Pix 1805 325 1803 324 Ln 1803 324 10 Pix 1803 324 1803 323 Ln 1803 323 10 Pix 1803 323 1803 323 Ln 1803 323 10 Pix 1803 323 1805 322 Ln 1805 322 10 Pix 1805 323 1805 324 Ln 1806 323 10 Pix 1806 323 1806 324 Ln 1806 323 1806 325 Ln 1805 323 1805 325 Ln 1805 323 1805 325 Ln 1803 323 1803 325 Ln 1803 323 1803 324 Ln 1803 323 10 Pix 1531 573 10 Pix 1531 573 1532 574 Ln 1532 574 10 Pix 1532 574 1533 575 Ln 1533 575 10 Pix 1533 575 1532 575 Ln 1532 575 10 Pix 1532 575 1531 576 Ln 1531 576 10 Pix 1531 576 1531 575 Ln 1531 575 10 Pix 1531 575 1530 575 Ln 1530 575 10 Pix 1530 575 1531 574 Ln 1531 574 10 Pix 1531 574 1531 573 Ln 1531 573 10 Pix 1531 575 1531 575 Ln 1533 575 10 Pix 1533 575 1533 575 Ln 1533 574 1533 576 Ln 1532 574 1532 576 Ln 1531 574 1531 576 Ln 1531 574 1531 576 Ln 1531 575 1531 575 Ln 1531 575 10 Pix 1720 1167 10 Pix 1720 1167 1721 1168 Ln 1721 1168 10 Pix 1721 1168 1721 1168 Ln 1721 1168 10 Pix 1721 1168 1721 1169 Ln 1721 1169 10 Pix 1721 1169 1720 1170 Ln 1720 1170 10 Pix 1720 1170 1720 1169 Ln 1720 1169 10 Pix 1720 1169 1719 1168 Ln 1719 1168 10 Pix 1719 1168 1720 1168 Ln 1720 1168 10 Pix 1720 1168 1720 1167 Ln 1720 1167 10 Pix 1720 1168 1720 1169 Ln 1721 1168 10 Pix 1721 1168 1721 1169 Ln 1721 1168 1721 1170 Ln 1721 1168 1721 1170 Ln 1720 1168 1720 1170 Ln 1720 1168 1720 1170 Ln 1720 1168 1720 1169 Ln 1720 1168 10 Pix 1782 397 10 Pix 1782 397 1782 398 Ln 1782 398 10 Pix 1782 398 1783 398 Ln 1783 398 10 Pix 1783 398 1782 399 Ln 1782 399 10 Pix 1782 399 1782 400 Ln 1782 400 10 Pix 1782 400 1781 399 Ln 1781 399 10 Pix 1781 399 1780 398 Ln 1780 398 10 Pix 1780 398 1781 398 Ln 1781 398 10 Pix 1781 398 1782 397 Ln 1782 397 10 Pix 1782 398 1782 399 Ln 1783 398 10 Pix 1783 398 1783 399 Ln 1783 398 1783 400 Ln 1782 398 1782 400 Ln 1782 398 1782 400 Ln 1781 398 1781 400 Ln 1781 398 1781 399 Ln 1781 398 10 Pix 2051 1371 10 Pix 2051 1371 2052 1372 Ln 2052 1372 10 Pix 2052 1372 2053 1372 Ln 2053 1372 10 Pix 2053 1372 2052 1373 Ln 2052 1373 10 Pix 2052 1373 2051 1374 Ln 2051 1374 10 Pix 2051 1374 2050 1373 Ln 2050 1373 10 Pix 2050 1373 2050 1372 Ln 2050 1372 10 Pix 2050 1372 2050 1372 Ln 2050 1372 10 Pix 2050 1372 2051 1371 Ln 2051 1371 10 Pix 2051 1372 2051 1373 Ln 2053 1372 10 Pix 2053 1372 2053 1373 Ln 2053 1372 2053 1374 Ln 2052 1372 2052 1374 Ln 2051 1372 2051 1374 Ln 2050 1372 2050 1374 Ln 2050 1372 2050 1373 Ln 2050 1372 10 Pix 1766 633 10 Pix 1766 633 1766 634 Ln 1766 634 10 Pix 1766 634 1767 635 Ln 1767 635 10 Pix 1767 635 1766 635 Ln 1766 635 10 Pix 1766 635 1766 636 Ln 1766 636 10 Pix 1766 636 1765 635 Ln 1765 635 10 Pix 1765 635 1764 635 Ln 1764 635 10 Pix 1764 635 1765 634 Ln 1765 634 10 Pix 1765 634 1766 633 Ln 1766 633 10 Pix 1766 635 1766 635 Ln 1767 635 10 Pix 1767 635 1767 635 Ln 1767 634 1767 636 Ln 1766 634 1766 636 Ln 1766 634 1766 636 Ln 1765 634 1765 636 Ln 1765 635 1765 635 Ln 1765 635 10 Pix 1696 554 10 Pix 1696 554 1697 555 Ln 1697 555 10 Pix 1697 555 1697 555 Ln 1697 555 10 Pix 1697 555 1697 556 Ln 1697 556 10 Pix 1697 556 1696 557 Ln 1696 557 10 Pix 1696 557 1695 556 Ln 1695 556 10 Pix 1695 556 1694 555 Ln 1694 555 10 Pix 1694 555 1695 555 Ln 1695 555 10 Pix 1695 555 1696 554 Ln 1696 554 10 Pix 1696 555 1696 556 Ln 1697 555 10 Pix 1697 555 1697 556 Ln 1697 555 1697 557 Ln 1697 555 1697 557 Ln 1696 555 1696 557 Ln 1695 555 1695 557 Ln 1695 555 1695 556 Ln 1695 555 10 Pix 1760 799 10 Pix 1760 799 1760 800 Ln 1760 800 10 Pix 1760 800 1761 801 Ln 1761 801 10 Pix 1761 801 1760 802 Ln 1760 802 10 Pix 1760 802 1760 802 Ln 1760 802 10 Pix 1760 802 1759 802 Ln 1759 802 10 Pix 1759 802 1759 801 Ln 1759 801 10 Pix 1759 801 1759 800 Ln 1759 800 10 Pix 1759 800 1760 799 Ln 1760 799 10 Pix 1760 801 1760 802 Ln 1761 801 10 Pix 1761 801 1761 802 Ln 1761 800 1761 802 Ln 1760 800 1760 802 Ln 1760 800 1760 802 Ln 1759 800 1759 802 Ln 1759 801 1759 802 Ln 1759 801 10 Pix 1651 906 10 Pix 1651 906 1652 906 Ln 1652 906 10 Pix 1652 906 1653 907 Ln 1653 907 10 Pix 1653 907 1652 907 Ln 1652 907 10 Pix 1652 907 1651 909 Ln 1651 909 10 Pix 1651 909 1651 907 Ln 1651 907 10 Pix 1651 907 1650 907 Ln 1650 907 10 Pix 1650 907 1651 906 Ln 1651 906 10 Pix 1651 906 1651 906 Ln 1651 906 10 Pix 1651 907 1651 907 Ln 1653 907 10 Pix 1653 907 1653 907 Ln 1653 906 1653 909 Ln 1652 906 1652 909 Ln 1651 906 1651 909 Ln 1651 906 1651 909 Ln 1651 907 1651 907 Ln 1651 907 10 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1651 317 10 Pix 1651 317 1652 317 Ln 1652 317 10 Pix 1652 319 1652 319 Ln 1654 319 10 Pix 1654 319 1654 319 Ln 1654 317 1654 320 Ln 1653 317 1653 320 Ln 1652 317 1652 320 Ln 1651 317 1651 320 Ln 1651 319 1651 319 Ln 1651 319 10 Pix 1506 388 10 Pix 1506 388 1507 388 Ln 1507 388 10 Pix 1507 388 1508 389 Ln 1508 389 10 Pix 1508 389 1507 389 Ln 1507 389 10 Pix 1507 389 1506 391 Ln 1506 391 10 Pix 1506 391 1506 389 Ln 1506 389 10 Pix 1506 389 1505 389 Ln 1505 389 10 Pix 1505 389 1506 388 Ln 1506 388 10 Pix 1506 388 1506 388 Ln 1506 388 10 Pix 1506 389 1506 389 Ln 1508 389 10 Pix 1508 389 1508 389 Ln 1508 388 1508 391 Ln 1507 388 1507 391 Ln 1506 388 1506 391 Ln 1506 388 1506 391 Ln 1506 389 1506 389 Ln 1506 389 10 Pix 1698 487 10 Pix 1698 487 1699 488 Ln 1699 488 10 Pix 1699 488 1700 488 Ln 1700 488 10 Pix 1700 488 1699 489 Ln 1699 489 10 Pix 1699 489 1698 490 Ln 1698 490 10 Pix 1698 490 1697 489 Ln 1697 489 10 Pix 1697 489 1697 488 Ln 1697 488 10 Pix 1697 488 1697 488 Ln 1697 488 10 Pix 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919 10 Pix 1829 921 1829 921 Ln 1830 921 10 Pix 1830 921 1830 921 Ln 1830 920 1830 922 Ln 1829 920 1829 922 Ln 1829 920 1829 922 Ln 1828 920 1828 922 Ln 1828 921 1828 921 Ln 1828 921 10 Pix 1805 415 10 Pix 1805 415 1805 416 Ln 1805 416 10 Pix 1805 416 1806 416 Ln 1806 416 10 Pix 1806 416 1805 417 Ln 1805 417 10 Pix 1805 417 1805 418 Ln 1805 418 10 Pix 1805 418 1803 417 Ln 1803 417 10 Pix 1803 417 1803 416 Ln 1803 416 10 Pix 1803 416 1803 416 Ln 1803 416 10 Pix 1803 416 1805 415 Ln 1805 415 10 Pix 1805 416 1805 417 Ln 1806 416 10 Pix 1806 416 1806 417 Ln 1806 416 1806 418 Ln 1805 416 1805 418 Ln 1805 416 1805 418 Ln 1803 416 1803 418 Ln 1803 416 1803 417 Ln 1803 416 10 Pix 1733 1271 10 Pix 1733 1271 1734 1272 Ln 1734 1272 10 Pix 1734 1272 1735 1273 Ln 1735 1273 10 Pix 1735 1273 1734 1274 Ln 1734 1274 10 Pix 1734 1274 1733 1274 Ln 1733 1274 10 Pix 1733 1274 1733 1274 Ln 1733 1274 10 Pix 1733 1274 1732 1273 Ln 1732 1273 10 Pix 1732 1273 1733 1272 Ln 1733 1272 10 Pix 1733 1272 1733 1271 Ln 1733 1271 10 Pix 1733 1273 1733 1274 Ln 1735 1273 10 Pix 1735 1273 1735 1274 Ln 1735 1272 1735 1274 Ln 1734 1272 1734 1274 Ln 1733 1272 1733 1274 Ln 1733 1272 1733 1274 Ln 1733 1273 1733 1274 Ln 1733 1273 10 Pix 1608 431 10 Pix 1608 431 1609 432 Ln 1609 432 10 Pix 1609 432 1610 433 Ln 1610 433 10 Pix 1610 433 1609 434 Ln 1609 434 10 Pix 1609 434 1608 434 Ln 1608 434 10 Pix 1608 434 1607 434 Ln 1607 434 10 Pix 1607 434 1607 433 Ln 1607 433 10 Pix 1607 433 1607 432 Ln 1607 432 10 Pix 1607 432 1608 431 Ln 1608 431 10 Pix 1608 433 1608 434 Ln 1610 433 10 Pix 1610 433 1610 434 Ln 1610 432 1610 434 Ln 1609 432 1609 434 Ln 1608 432 1608 434 Ln 1607 432 1607 434 Ln 1607 433 1607 434 Ln 1607 433 10 Pix 1655 340 10 Pix 1655 340 1657 340 Ln 1657 340 10 Pix 1657 340 1657 341 Ln 1657 341 10 Pix 1657 341 1657 341 Ln 1657 341 10 Pix 1657 341 1655 342 Ln 1655 342 10 Pix 1655 342 1655 341 Ln 1655 341 10 Pix 1655 341 1654 341 Ln 1654 341 10 Pix 1654 341 1655 340 Ln 1655 340 10 Pix 1655 340 1655 340 Ln 1655 340 10 Pix 1655 341 1655 341 Ln 1657 341 10 Pix 1657 341 1657 341 Ln 1657 340 1657 342 Ln 1657 340 1657 342 Ln 1655 340 1655 342 Ln 1655 340 1655 342 Ln 1655 341 1655 341 Ln 1655 341 10 Pix 1462 416 10 Pix 1462 416 1462 417 Ln 1462 417 10 Pix 1462 417 1463 418 Ln 1463 418 10 Pix 1463 418 1462 419 Ln 1462 419 10 Pix 1462 419 1462 419 Ln 1462 419 10 Pix 1462 419 1461 419 Ln 1461 419 10 Pix 1461 419 1460 418 Ln 1460 418 10 Pix 1460 418 1461 417 Ln 1461 417 10 Pix 1461 417 1462 416 Ln 1462 416 10 Pix 1462 418 1462 419 Ln 1463 418 10 Pix 1463 418 1463 419 Ln 1463 417 1463 419 Ln 1462 417 1462 419 Ln 1462 417 1462 419 Ln 1461 417 1461 419 Ln 1461 418 1461 419 Ln 1461 418 10 Pix 1521 374 10 Pix 1521 374 1522 375 Ln 1522 375 10 Pix 1522 375 1522 376 Ln 1522 376 10 Pix 1522 376 1522 377 Ln 1522 377 10 Pix 1522 377 1521 377 Ln 1521 377 10 Pix 1521 377 1520 377 Ln 1520 377 10 Pix 1520 377 1519 376 Ln 1519 376 10 Pix 1519 376 1520 375 Ln 1520 375 10 Pix 1520 375 1521 374 Ln 1521 374 10 Pix 1521 376 1521 377 Ln 1522 376 10 Pix 1522 376 1522 377 Ln 1522 375 1522 377 Ln 1522 375 1522 377 Ln 1521 375 1521 377 Ln 1520 375 1520 377 Ln 1520 376 1520 377 Ln 1520 376 10 Pix 1468 353 10 Pix 1468 353 1469 353 Ln 1469 353 10 Pix 1469 353 1470 355 Ln 1470 355 10 Pix 1470 355 1469 355 Ln 1469 355 10 Pix 1469 355 1468 356 Ln 1468 356 10 Pix 1468 356 1467 355 Ln 1467 355 10 Pix 1467 355 1467 355 Ln 1467 355 10 Pix 1467 355 1467 353 Ln 1467 353 10 Pix 1467 353 1468 353 Ln 1468 353 10 Pix 1468 355 1468 355 Ln 1470 355 10 Pix 1470 355 1470 355 Ln 1470 353 1470 356 Ln 1469 353 1469 356 Ln 1468 353 1468 356 Ln 1467 353 1467 356 Ln 1467 355 1467 355 Ln 1467 355 10 Pix 1562 393 10 Pix 1562 393 1563 394 Ln 1563 394 10 Pix 1563 394 1564 395 Ln 1564 395 10 Pix 1564 395 1563 395 Ln 1563 395 10 Pix 1563 395 1562 396 Ln 1562 396 10 Pix 1562 396 1561 395 Ln 1561 395 10 Pix 1561 395 1561 395 Ln 1561 395 10 Pix 1561 395 1561 394 Ln 1561 394 10 Pix 1561 394 1562 393 Ln 1562 393 10 Pix 1562 395 1562 395 Ln 1564 395 10 Pix 1564 395 1564 395 Ln 1564 394 1564 396 Ln 1563 394 1563 396 Ln 1562 394 1562 396 Ln 1561 394 1561 396 Ln 1561 395 1561 395 Ln 1561 395 10 Pix 1711 1017 10 Pix 1711 1017 1711 1017 Ln 1711 1017 10 Pix 1711 1017 1712 1018 Ln 1712 1018 10 Pix 1712 1018 1711 1018 Ln 1711 1018 10 Pix 1711 1018 1711 1020 Ln 1711 1020 10 Pix 1711 1020 1710 1018 Ln 1710 1018 10 Pix 1710 1018 1709 1018 Ln 1709 1018 10 Pix 1709 1018 1710 1017 Ln 1710 1017 10 Pix 1710 1017 1711 1017 Ln 1711 1017 10 Pix 1711 1018 1711 1018 Ln 1712 1018 10 Pix 1712 1018 1712 1018 Ln 1712 1017 1712 1020 Ln 1711 1017 1711 1020 Ln 1711 1017 1711 1020 Ln 1710 1017 1710 1020 Ln 1710 1018 1710 1018 Ln 1710 1018 10 Pix 1794 519 10 Pix 1794 519 1795 520 Ln 1795 520 10 Pix 1795 520 1796 521 Ln 1796 521 10 Pix 1796 521 1795 521 Ln 1795 521 10 Pix 1795 521 1794 522 Ln 1794 522 10 Pix 1794 522 1793 521 Ln 1793 521 10 Pix 1793 521 1793 521 Ln 1793 521 10 Pix 1793 521 1793 520 Ln 1793 520 10 Pix 1793 520 1794 519 Ln 1794 519 10 Pix 1794 521 1794 521 Ln 1796 521 10 Pix 1796 521 1796 521 Ln 1796 520 1796 522 Ln 1795 520 1795 522 Ln 1794 520 1794 522 Ln 1793 520 1793 522 Ln 1793 521 1793 521 Ln 1793 521 10 Pix 1512 559 10 Pix 1512 559 1512 560 Ln 1512 560 10 Pix 1512 560 1513 560 Ln 1513 560 10 Pix 1513 560 1512 561 Ln 1512 561 10 Pix 1512 561 1512 562 Ln 1512 562 10 Pix 1512 562 1511 561 Ln 1511 561 10 Pix 1511 561 1510 560 Ln 1510 560 10 Pix 1510 560 1511 560 Ln 1511 560 10 Pix 1511 560 1512 559 Ln 1512 559 10 Pix 1512 560 1512 561 Ln 1513 560 10 Pix 1513 560 1513 561 Ln 1513 560 1513 562 Ln 1512 560 1512 562 Ln 1512 560 1512 562 Ln 1511 560 1511 562 Ln 1511 560 1511 561 Ln 1511 560 10 Pix 1723 368 10 Pix 1723 368 1723 369 Ln 1723 369 10 Pix 1723 369 1724 370 Ln 1724 370 10 Pix 1724 370 1723 370 Ln 1723 370 10 Pix 1723 370 1723 371 Ln 1723 371 10 Pix 1723 371 1721 370 Ln 1721 370 10 Pix 1721 370 1721 370 Ln 1721 370 10 Pix 1721 370 1721 369 Ln 1721 369 10 Pix 1721 369 1723 368 Ln 1723 368 10 Pix 1723 370 1723 370 Ln 1724 370 10 Pix 1724 370 1724 370 Ln 1724 369 1724 371 Ln 1723 369 1723 371 Ln 1723 369 1723 371 Ln 1721 369 1721 371 Ln 1721 370 1721 370 Ln 1721 370 10 Pix 1435 394 10 Pix 1435 394 1436 395 Ln 1436 395 10 Pix 1436 395 1437 395 Ln 1437 395 10 Pix 1437 395 1436 396 Ln 1436 396 10 Pix 1436 396 1435 397 Ln 1435 397 10 Pix 1435 397 1434 396 Ln 1434 396 10 Pix 1434 396 1434 395 Ln 1434 395 10 Pix 1434 395 1434 395 Ln 1434 395 10 Pix 1434 395 1435 394 Ln 1435 394 10 Pix 1435 395 1435 396 Ln 1437 395 10 Pix 1437 395 1437 396 Ln 1437 395 1437 397 Ln 1436 395 1436 397 Ln 1435 395 1435 397 Ln 1434 395 1434 397 Ln 1434 395 1434 396 Ln 1434 395 10 Pix 1637 530 10 Pix 1637 530 1638 530 Ln 1638 530 10 Pix 1638 530 1639 531 Ln 1639 531 10 Pix 1639 531 1638 531 Ln 1638 531 10 Pix 1638 531 1637 532 Ln 1637 532 10 Pix 1637 532 1637 531 Ln 1637 531 10 Pix 1637 531 1636 531 Ln 1636 531 10 Pix 1636 531 1637 530 Ln 1637 530 10 Pix 1637 530 1637 530 Ln 1637 530 10 Pix 1637 531 1637 531 Ln 1639 531 10 Pix 1639 531 1639 531 Ln 1639 530 1639 532 Ln 1638 530 1638 532 Ln 1637 530 1637 532 Ln 1637 530 1637 532 Ln 1637 531 1637 531 Ln 1637 531 10 Pix 1693 1208 10 Pix 1693 1208 1694 1208 Ln 1694 1208 10 Pix 1694 1208 1694 1210 Ln 1694 1210 10 Pix 1694 1210 1694 1210 Ln 1694 1210 10 Pix 1694 1210 1693 1211 Ln 1693 1211 10 Pix 1693 1211 1693 1210 Ln 1693 1210 10 Pix 1693 1210 1691 1210 Ln 1691 1210 10 Pix 1691 1210 1693 1208 Ln 1693 1208 10 Pix 1693 1208 1693 1208 Ln 1693 1208 10 Pix 1693 1210 1693 1210 Ln 1694 1210 10 Pix 1694 1210 1694 1210 Ln 1694 1208 1694 1211 Ln 1694 1208 1694 1211 Ln 1693 1208 1693 1211 Ln 1693 1208 1693 1211 Ln 1693 1210 1693 1210 Ln 1693 1210 10 Pix 1518 410 10 Pix 1518 410 1518 411 Ln 1518 411 10 Pix 1518 411 1519 412 Ln 1519 412 10 Pix 1519 412 1518 413 Ln 1518 413 10 Pix 1518 413 1518 413 Ln 1518 413 10 Pix 1518 413 1516 413 Ln 1516 413 10 Pix 1516 413 1516 412 Ln 1516 412 10 Pix 1516 412 1516 411 Ln 1516 411 10 Pix 1516 411 1518 410 Ln 1518 410 10 Pix 1518 412 1518 413 Ln 1519 412 10 Pix 1519 412 1519 413 Ln 1519 411 1519 413 Ln 1518 411 1518 413 Ln 1518 411 1518 413 Ln 1516 411 1516 413 Ln 1516 412 1516 413 Ln 1516 412 10 Pix 1653 705 10 Pix 1653 705 1654 706 Ln 1654 706 10 Pix 1654 706 1654 707 Ln 1654 707 10 Pix 1654 707 1654 707 Ln 1654 707 10 Pix 1654 707 1653 708 Ln 1653 708 10 Pix 1653 708 1652 707 Ln 1652 707 10 Pix 1652 707 1651 707 Ln 1651 707 10 Pix 1651 707 1652 706 Ln 1652 706 10 Pix 1652 706 1653 705 Ln 1653 705 10 Pix 1653 707 1653 707 Ln 1654 707 10 Pix 1654 707 1654 707 Ln 1654 706 1654 708 Ln 1654 706 1654 708 Ln 1653 706 1653 708 Ln 1652 706 1652 708 Ln 1652 707 1652 707 Ln 1652 707 10 Pix xs 14 SLC 1 SLW 1594 301 1922 1938 Ln 1 SLW xs 15 SLC 1 newPage %%Trailer %!END  Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú29Ú  ÚóóÝ  ÝÔ_Ô€The€exact€Ô_ÔEIÔ_Ô€prior€was€_Ô_ÔEalphaWÔ_Ô=(0~0.3).€€Other€priors€returned€similar€results,€though.(Oé;$µµà0  àÔ2#ÔÚ  ÚaÚ  Ú.Ô3  Ôà0` (#(#à@RC:\files\text\Research\eiconf\GA2BIAS.PSC:\files\text\Research\eiconf\GA2BIAS.PSñÆ€¸´üwÏ´üwêJÀ€hÀ øÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú17Ú  ÚóóÝ  ÝÔ_Ô€In€fact,€eight€parishes€report€more€registered€whites€than€they€contained€voting„age€white€adults€(usingÐ ° Ð1970€census€figures),€and€two€similarly€reported€black€registration€exceeding€possible€levels.€€In€those€instances,€IÏadjusted€registration€downward€to€100%€to€keep€it€within€possible€bounds,€but€otherwise€tolerated€the€measurementÏerror€contained€in€the€numbers. wßS€c:AB2.p~8ü¬„!ï* `Àä'¤3€SßÑ  ÑÑ  ÑÑ h Ñ(b·¤$¶¶à0  àà0` (#(#àÔ2#ÔÚ  ÚÚ  Ú.Ô3  Ôà0¸ ` (#` (#à :Ý ƒ¯&ÝÝ  ÝÔ_ÔLengthen€later! $Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú20Ú  ÚóóÝ  ÝÔ_Ô€Ô_ÔEIÔ_Ô€uses€ð ðmultiple€imputationðð€to€account€for€the€additional€uncertainty€that€comes€from€using€estimatedÐ ° Ðturnout€rates. ¢Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú15Ú  ÚóóÝ  ÝÔ_Ô€Freedman€et€al.€(1999,€355)€do€not€seem€to€understand€the€meaning€of€Ô_ÔEIÔ_Ôððs€standard€errors.€€After€KingÐ ° Ð(1999)€suggested€that€their€data€contain€more€information€about€non„Hispanics,€they€wrote:€€ð ðIt€is€not€clear€what€sortÏof€additional€information€would€be€available€to€King€for€non„Hispanics€...€Any€error€on€the€Hispanic€side€must€beÏbalanced€by€an€error€of€the€same€size€but€the€opposite€sign€on€the€non„Hispanic€side.ðð€€Yet€their€own€table€revealsÏthat€Ô_ÔEIÔ_Ô€has€reported€much€smaller€standard€errors€for€non„Hispanics€than€the€program€did€for€Hispanics€(Freedman€etÏal.€1998,€1519).€€The€software€reported€errors€proportional€to€the€information€available,€and€therefore€to€the€true€error,Ïsomething€the€critics€missed.Ì ýÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú21Ú  ÚóóÝ  ÝÔ_Ô€Ô_ÔEIÔ_Ô€options:€_Ô_ÔEetaÔ_Ô=2€and€_Ô_ÔEalphaWÔ_Ô=0.5~0.1. DÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú22Ú  ÚóóÝ  ÝÔ_Ô€The€standard€error€for€this€estimate€is€1.4.€€It€is,€of€course,€possible€that€an€analysis€of€Wallaceððs€vote€thatÐ ° Ðdrew€strength€from€voting€in€other€states€would€improve€these€estimates.7 (xir$··à0  àà0` (#(#àà0¸ ` (#` (#àÔ2#Ô(Ú  Ú0Ú  Ú)Ô3  Ôà0¸ (#¸ (#à(ŒÜ$¸¸à0  àà0` (#(#àà0¸ ` (#` (#àà0¸ (#¸ (#àÔ2#Ô(Ú  ÚaÚ  Ú)Ô3  Ôà0h(#(#àLevel 1Level 2Level 3Level 4Level 5(ŸF$¹¹à0  àà0` (#(#àà0¸ ` (#` (#àà0¸ (#¸ (#àà0h(#(#àÔ2#Ô(Ú  ÚÚ  Ú)Ô3  Ôà0Àh(#h(#àƒLevel 1Level 2Level 3Level 4Level 5 Ñ  Ñ Ñ  Ñ Ñ Ï Ñ Ñ 9 ÑÿWPC°°ðñðñ!ðñÀÿ€Ô.×ÍÆšðñ° Y ^3  ËL¶4ÿÿÿ çþ üÿÿÿ- !ðçþÿÿÿ--û¼"Systemw@: ¾LSõwUSõw0-ûåÿTimes New RomanLSõwUSõw0-----ðûèÿTimes New RomanLSõwUSõw0---.-- 2 ÌþTABLE 2:----ðûåÿTimes New RomanLSõwUSõw0-----ðûèÿTimes New RomanLSõwUSõw0---.-- 2 "I$þ?1991 Turnout Estimates for Louisiana----ðûðÿTimes New RomanLSõwUSõw0---ðûðÿ¼Times New RomanLSõwUSõw0---.--  !ð%_MŸ.2 `ĤMùrTurnoutr--2 LÖ¤MùrTotalu--.--.-- !ð%^M*.2 `N/MƒrTurnoutr--2 L\/MƒrBlacku--.--.-- !ð%nM¥..2 ^­ ªMrWhite Turnout----ðûðÿTimes New RomanLSõwUSõw0-.--  2 „ÝŸ…þ˜72.1--.-- 2 „g*…ˆ˜65.2--.-- 2 „ò¥…˜74.7--.--2 „…¥˜Truth --ü- !ð¦—ÿÿ-- !ð¦˜ÿÿ-- !ðo—¤-- !ðo˜¤-- !ð—-- !ð˜-- !ð_—)-- !ð_˜)-- !ð—‡-- !ð˜‡-- !ð`—ž-- !ð`˜ž---.--2 ª «¥¾STATE DATA--.-- 2 ½o*¾ˆÑ0.0T--.-- 2 ½ò¥¾Ñ61.6--.--2 ½ ¾¥ÑLower Bound--.--2 Ð_*шä100.0 --.--2 Ðê¥Ñä100.0 --.--2 РѥäUpper Bound--.-- 2 ãÝŸäþ÷72.4----ðûðÿTimes New RomanLSõwUSõw0-.--  2 ãg*äˆ÷50.0--.-- 2 ãò¥ä÷80.8----ðûðÿTimes New RomanLSõwUSõw0-.--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0- --ðûðÿTimes New RomanLSõwUSõw0- ...ã2 ãä¥÷Midpoint.--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0---ðûðÿ"Arialõw@& ®LSõwUSõw0---ðûðÿTimes New RomanLSõwUSõw0---.-- 2   ¥PARISH DATA--.-- 2 g*ˆ044.7--.-- 2 ò¥067.6--.--2  ¥0Lower Bound--.-- 2 /g*0ˆC83.9--.-- 2 /ò¥0C82.4--.--2 / 0¥CUpper Bound--.-- 2 BÝŸCþV72.2----ðûðÿTimes New RomanLSõwUSõw0-.--  2 Bg*CˆV64.3--.-- 2 Bò¥CV75.0----ðûðÿTimes New RomanLSõwUSõw0-.--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0- --ðûðÿTimes New RomanLSõwUSõw0- ...B2 BC¥VMidpoint.--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0---ðûðÿ"Arialõw@& ¸LSõwUSõw0---ðûðÿTimes New RomanLSõwUSõw0---ðûðÿ"Arialõw@& ºLSõwUSõw0---ðûðÿTimes New RomanLSõwUSõw0-.--  2 hÝŸiþ|72.7--.-- 2 hg*iˆ|63.7--.-- 2 hò¥i|75.9--.--2 hi¥|Naive ER----ðûóÿTimes New RomanLSõwUSõw0---.-- 2 ~l*|ˆ(0.3) ----.--2 ~÷¥|(0.2) ----ðûðÿTimes New RomanLSõwUSõw0-.--  2 ¡ÝŸ¢þµ72.2--.-- 2 ¡g*¢ˆµ63.5--.-- 2 ¡ò¥¢µ75.3--.--2 ¡ ¢¥µWeighted ER----ðûóÿTimes New RomanLSõwUSõw0---.-- 2 ·l*µˆÈ(0.3)t----.--2 ·÷¥µÈ(0.1)t----ðûðÿTimes New RomanLSõwUSõw0-.--  2 ÚÝŸÛþî72.1--.-- 2 Úg*Ûˆî67.4--.-- 2 Úò¥Ûî73.8--.--2 Ú Û¥îNeighborhood----.--2  ¥HOMOGENEOUSd--.-- 2 ÝŸþ(72.9--.-- 2 g*ˆ(63.4--.-- 2 ò¥(76.3--.--2 ¥(AverageE--.-- 2 (ÝŸ(þ<72.2--.-- 2 (g*(ˆ<62.4--.-- 2 (ò¥(<75.6--.--2 ((¥<Weighted Average----ðûðÿTimes New RomanLSõwUSõw0---ðûðÿTimes New RomanLSõwUSõw0-.--  2 NÝŸOþb72.2--.-- 2 Ng*Oˆb63.3--.-- 2 Nò¥Ob75.4--.--2 N O¥bEI (simple)----ðûóÿTimes New RomanLSõwUSõw0---.-- 2 dl*bˆu(0.2)i----ðûðÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0---.-- 2 d÷¥bu(0.1)i----ðûðÿTimes New RomanLSõwUSõw0-.--  2 ‡ÝŸˆþ›72.2--.-- 2 ‡g*ˆˆ›64.5--.-- 2 ‡ò¥ˆ›74.9--.--2 ‡ ˆ¥›EI (final)----ðûóÿTimes New RomanLSõwUSõw0---.-- 2 l*›ˆ®(0.1)i----ðûðÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0---.-- 2 ÷¥›®(0.1)i----ðûðÿTimes New RomanLSõwUSõw0---.-- 32 ÀOÁþÔNote: Methodological details of each estimation appear in the text. Numbers in----.--2 Ó Ôçparentheses are standard errors.--.ð  --ð wÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú31Ú  ÚóóÝ  ÝÔ_Ô€Accurate€estimates€still€may€not€be€useful€for€second„stage€regressions€if€they€introduce€some€kind€ofÐ ° Ðbias€into€the€assessment€of€contextual€effects€(Ô_ÔHerronÔ_Ô€and€Ô_ÔShottsÔ_Ô€2003).ÿWPCëëÐ Ð !Ð  Àÿ€3üc%!PS-Adobe-2.0 EPSF-1.2 %%Creator: GAUSS PQG by Aptech Systems, Inc. %%Pages: 1 %%BoundingBox: 0 0 611 791 %%EndComments %--------------------------------------------------------------------- % Temporary variables used %--------------------------------------------------------------------- % PROC VARIABLES % PatternFill : fx1,fx2,fy1,fy2,fwidth % %--------------------------------------------------------------------- % PGL Global Data %--------------------------------------------------------------------- /LineColor 1 def % -1 turns off Line & Outline drawing /LineStyle [] def % /Phase 0 def % /AreaColor 1 def % -1 turns off Area Fills /FillFlag 1 def % 1-Outline, 2-Fill, 3-Both /FillStyle 0 def % /FillMode 1 def % 1-opaque, 0-transparent /MaxColor 15 def % /CurFont 0 def % FontNames index /topFlagV 0 def % Text Justification(Vertical) Flags /ctrFlagV 0 def % (Vertical) /ctrFlagH 0 def % (Horizonal) /LineWidth 1 def % /UnitWidth 1 def % Unit Line thickness in 1/300'ths inches /PatSize 3 def % Fill Pattern Scale Factor /PatChar 1 def % Fill Pattern Ascii Value /UserChar 85 def % UserFill Pattern Ascii Value /FillChar (?) def % UserFill Pattern Ascii Value /UserFillPat <0000000000000000> def %- empty fill by default %-------------------------------------------------------------------- % Bitmap support %-------------------------------------------------------------------- /rleFlag 1 string def /rleStr 2 string def /bmStr 1 string def %-------------------------------------------------------------------- % Color Tables and Mappings %-------------------------------------------------------------------- /bwColors 256 array def 0 1 255 { bwColors exch 0 put } for % zero all colors to black bwColors 0 1 put % index 0 - white, all others black /grayColors 256 array def 0 1 255 { grayColors exch 0 put } for % zero all colors to black grayColors 0 1.00 put grayColors 1 0.11 put grayColors 2 0.59 put grayColors 3 0.70 put grayColors 4 0.30 put grayColors 5 0.41 put grayColors 6 0.40 put grayColors 7 0.97 put grayColors 8 0.50 put grayColors 9 0.40 put grayColors 10 0.73 put grayColors 11 0.80 put grayColors 12 0.53 put grayColors 13 0.60 put grayColors 14 0.93 put grayColors 15 0.00 put /rgbColors 256 array def 0 1 255 { rgbColors exch [0 0 0] put } for % zero all colors to black rgbColors 0 [1 1 1] put % white rgbColors 1 [0 0 1] put % blue rgbColors 2 [0 1 0] put % green rgbColors 3 [0 1 1] put % cyan rgbColors 4 [1 0 0] put % red rgbColors 5 [1 0 1] put % magenta rgbColors 6 [0.67 0.33 0] put % brown rgbColors 7 [0.9 0.9 0.9] put % darkgray rgbColors 8 [0.75 0.75 0.75] put % lightgray rgbColors 9 [0.33 0.33 1] put % lightblue rgbColors 10 [0.33 1 0.33] put % lightgreen rgbColors 11 [0.33 1 1] put % lightcyan rgbColors 12 [1 0.33 0.33] put % lightred rgbColors 13 [1 0.33 1] put % lightmagenta rgbColors 14 [1 1 0.33] put % yellow rgbColors 15 [0 0 0] put % black /ColorModel 0 def /ColorChoices [ bwColors grayColors rgbColors ] def /ColorMap ColorChoices ColorModel get def % default colors=b&w %-------------------------------------------------------------------- %----Page Size, Set By Main Pgm %-------------------------------------------------------------------- % /PX 1950 def /PY 1194 def %-------------------------------------------------------------------- %----Text Scale Factors %-------------------------------------------------------------------- /SX 1800 def % Base size of page width/height, /SY 1194 def % for scaling fonts against /FSX [ 6 7 8 10 12 9 10 ] def % Unit Font Scale factors /FSY [ -2.3 -4.6 -4.6 -4.6 -4.6 -4.6 -4.6 ] def % Neg's to invert Y axis %-------------------------------------------------------------------- %---- Users Font Scale Factors %-------------------------------------------------------------------- /FSXN 1 def /FSXD 1 def /FSYN 1 def /FSYD 1 def %--------------------------------------------------------------------- % Fonts Names Used by PGL % These replace the following vector fonts provided with PGL % If you change these you may need to change the scale factors % in FSX and FSY. %--------------------------------------------------------------------- /FontNames [ /Helvetica % small /Courier % simplex /Helvetica % duplex /Times-Roman % triplex /Times-BoldItalic % gothic /Courier-Oblique % script simplex /Helvetica-Oblique % script duplex ] def %--------------------------------------------------------------------- % Fill Pattern Font based on "PS Lang Ref Man (Red Book) - Chap 5" %--------------------------------------------------------------------- /newfont 10 dict def newfont begin /FontType 3 def /FontMatrix [ .125 0 0 .125 0 0 ] def /FontBBox [ 0 0 8 8 ] def /Encoding 256 array def 0 1 255 { Encoding exch /.notdef put } for Encoding 1 /empty put % '0' Encoding 2 /solid put % '1' Encoding 3 /lfill put % '2' Encoding 4 /slash put % '3' Encoding 5 /hslash put % '4' Encoding 6 /hbkslash put % '5' Encoding 7 /bkslash put % '6' Encoding 8 /hatch put % '7' Encoding 9 /xhatch put % '8' Encoding 10 /intleav put % '9' Encoding 11 /widedot put % '10' Encoding 12 /closedot put % '11' Encoding 13 /pat13 put Encoding 14 /pat14 put Encoding 15 /pat15 put Encoding 16 /pat16 put Encoding 17 /pat17 put Encoding 18 /pat18 put Encoding 19 /pat19 put Encoding 20 /pat20 put Encoding 21 /pat21 put Encoding 22 /pat22 put Encoding 23 /pat23 put Encoding 24 /pat24 put Encoding 25 /pat25 put Encoding 26 /pat26 put Encoding 27 /pat27 put Encoding 28 /pat28 put Encoding 29 /pat29 put Encoding 30 /pat30 put Encoding 31 /pat31 put Encoding 32 /pat32 put Encoding 33 /pat33 put Encoding 34 /pat34 put Encoding 35 /pat35 put Encoding 36 /pat36 put Encoding 37 /pat37 put Encoding 38 /pat38 put Encoding 39 /pat39 put Encoding 40 /pat40 put Encoding 41 /pat41 put Encoding 42 /pat42 put Encoding 43 /pat43 put Encoding 44 /pat44 put Encoding 45 /pat45 put Encoding 46 /pat46 put Encoding 47 /pat47 put Encoding 48 /pat48 put Encoding 49 /pat49 put Encoding 50 /pat50 put Encoding 51 /pat51 put Encoding 52 /pat52 put Encoding 53 /pat53 put Encoding 54 /pat54 put Encoding 55 /pat55 put Encoding 56 /pat56 put Encoding 57 /pat57 put Encoding 58 /pat58 put Encoding 59 /pat59 put Encoding 60 /pat60 put Encoding 61 /pat61 put Encoding 62 /pat62 put Encoding 63 /pat63 put Encoding 64 /pat64 put Encoding 65 /pat65 put Encoding 66 /pat66 put Encoding 67 /pat67 put Encoding 68 /pat68 put Encoding 69 /pat69 put Encoding 70 /pat70 put Encoding 71 /pat71 put Encoding 72 /pat72 put Encoding 73 /pat73 put Encoding 74 /pat74 put Encoding 75 /pat75 put Encoding 76 /pat76 put Encoding 77 /pat77 put Encoding 78 /pat78 put Encoding 79 /pat79 put Encoding 80 /pat80 put Encoding 81 /pat81 put Encoding 82 /pat82 put Encoding 83 /pat83 put Encoding 84 /pat84 put Encoding 85 /patfill put % '12' /CharProcs 86 dict def CharProcs begin /.notdef {} bind def /empty { 8 8 true [1 0 0 1 0 0] { <0000000000000000> } imagemask } bind def /solid { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /lfill { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /slash { 8 8 true [1 0 0 1 0 0] { <0102040810204080> } imagemask } bind def /hslash { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /hbkslash { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /bkslash { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /hatch { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /xhatch { 8 8 true [1 0 0 1 0 0] { <8142241818244281> } imagemask } bind def /intleav { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /widedot { 8 8 true [1 0 0 1 0 0] { <8000080080000800> } imagemask } bind def /closedot { 8 8 true [1 0 0 1 0 0] { <8800220088002200> } imagemask } bind def /pat13 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat14 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat15 { 8 8 true [1 0 0 1 0 0] { <8000000008000000> } imagemask } bind def /pat16 { 8 8 true [1 0 0 1 0 0] { <8000000000000000> } imagemask } bind def /pat17 { 8 8 true [1 0 0 1 0 0] { <8100001818000081> } imagemask } bind def /pat18 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat19 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat20 { 8 8 true [1 0 0 1 0 0] { <7effffe7e7ffff7e> } imagemask } bind def /pat21 { 8 8 true [1 0 0 1 0 0] { <0000001818000000> } imagemask } bind def /pat22 { 8 8 true [1 0 0 1 0 0] { <55ffaaff55ffaaff> } imagemask } bind def /pat23 { 8 8 true [1 0 0 1 0 0] { <77ffddff77ffddff> } imagemask } bind def /pat24 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat25 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat26 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat27 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat28 { 8 8 true [1 0 0 1 0 0] { <0040a00000040a00> } imagemask } bind def /pat29 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat30 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat31 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat32 { 8 8 true [1 0 0 1 0 0] { <0044281028440000> } imagemask } bind def /pat33 { 8 8 true [1 0 0 1 0 0] { <8844201000002010> } imagemask } bind def /pat34 { 8 8 true [1 0 0 1 0 0] { <0040201000010204> } imagemask } bind def /pat35 { 8 8 true [1 0 0 1 0 0] { <0010284428100000> } imagemask } bind def /pat36 { 8 8 true [1 0 0 1 0 0] { <0008083e08080000> } imagemask } bind def /pat37 { 8 8 true [1 0 0 1 0 0] { <8844220088442200> } imagemask } bind def /pat38 { 8 8 true [1 0 0 1 0 0] { <1122440011224400> } imagemask } bind def /pat39 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat40 { 8 8 true [1 0 0 1 0 0] { <8040201008040201> } imagemask } bind def /pat41 { 8 8 true [1 0 0 1 0 0] { <0b172e5dba74e8d0> } imagemask } bind def /pat42 { 8 8 true [1 0 0 1 0 0] { <0f1f3f7ffefcf8f0> } imagemask } bind def /pat43 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat44 { 8 8 true [1 0 0 1 0 0] { <0002040200204020> } imagemask } bind def /pat45 { 8 8 true [1 0 0 1 0 0] { <1f11f1111f11f111> } imagemask } bind def /pat46 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat47 { 8 8 true [1 0 0 1 0 0] { <0102448801020000> } imagemask } bind def /pat48 { 8 8 true [1 0 0 1 0 0] { <0010284444380000> } imagemask } bind def /pat49 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat50 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat51 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat52 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat53 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat54 { 8 8 true [1 0 0 1 0 0] { <03070e1c3870e0c0> } imagemask } bind def /pat55 { 8 8 true [1 0 0 1 0 0] { <0000182444241800> } imagemask } bind def /pat56 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat57 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat58 { 8 8 true [1 0 0 1 0 0] { <8080808080808080> } imagemask } bind def /pat59 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat60 { 8 8 true [1 0 0 1 0 0] { <8888888888888888> } imagemask } bind def /pat61 { 8 8 true [1 0 0 1 0 0] { <5555aaaa5555aaaa> } imagemask } bind def /pat62 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat63 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat64 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat65 { 8 8 true [1 0 0 1 0 0] { <0808080880808080> } imagemask } bind def /pat66 { 8 8 true [1 0 0 1 0 0] { <20508f5020202020> } imagemask } bind def /pat67 { 8 8 true [1 0 0 1 0 0] { <1028448344281010> } imagemask } bind def /pat68 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat69 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat70 { 8 8 true [1 0 0 1 0 0] { <82050a142850a041> } imagemask } bind def /pat71 { 8 8 true [1 0 0 1 0 0] { <41a05028140a0582> } imagemask } bind def /pat72 { 8 8 true [1 0 0 1 0 0] { <10387cff7c381010> } imagemask } bind def /pat73 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat74 { 8 8 true [1 0 0 1 0 0] { <80c0e0f0f8fcfeff> } imagemask } bind def /pat75 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat76 { 8 8 true [1 0 0 1 0 0] { <4020101824428180> } imagemask } bind def /pat77 { 8 8 true [1 0 0 1 0 0] { <0609090600000000> } imagemask } bind def /pat78 { 8 8 true [1 0 0 1 0 0] { <1824428118244281> } imagemask } bind def /pat79 { 8 8 true [1 0 0 1 0 0] { <1122448888442211> } imagemask } bind def /pat80 { 8 8 true [1 0 0 1 0 0] { <8244281010101000> } imagemask } bind def /pat81 { 8 8 true [1 0 0 1 0 0] { <008040201e204080> } imagemask } bind def /pat82 { 8 8 true [1 0 0 1 0 0] { <7fc1a2948894a2c1> } imagemask } bind def /pat83 { 8 8 true [1 0 0 1 0 0] { <101028c70101827c> } imagemask } bind def /pat84 { 8 8 true [1 0 0 1 0 0] { <1c121121c1211112> } imagemask } bind def /patfill { 8 8 true [1 0 0 1 0 0] { UserFillPat } imagemask } bind def end /BuildChar { exch begin dup UserChar eq{ 8 0 setcharwidth % userfillstyle }{ 8 0 0 0 8 8 setcachedevice % standard fillstyle }ifelse Encoding exch get CharProcs exch get end exec }def end /FillFont newfont definefont pop %----- End Of Area Fill Font Def-------------------------------------- %--------------------------------------------------------------------- % PGL Redefinitions %--------------------------------------------------------------------- /gs { gsave } bind def /gr { grestore } bind def /m { moveto } bind def /l { lineto currentpoint stroke moveto } bind def /rm { rmoveto } bind def /rl { rlineto } bind def /cp { closepath } bind def /np { newpath } bind def /sg { setgray } bind def /st { stroke } bind def /sd { setdash } bind def /ex { exch } bind def /in { index } bind def /sw { stringwidth } bind def /cxy { currentpoint } bind def /slw { setlinewidth } bind def %--------------------------------------------------------------------- % str strlen nchars %--------------------------------------------------------------------- /strlen { dup % str str /itmp 0 def { /itmp itmp 1 add def pop } forall % count characters itmp % nchars } bind def %--------------------------------------------------------------------- % string txtCtrH % Center Justify a string Horiz %--------------------------------------------------------------------- /txtCtrH { dup sw pop 2 div neg dup 0 rm /ctrFlagH exch def } bind def %--------------------------------------------------------------------- % wx wy string atxtCtrH % Center Justify a string Horiz %--------------------------------------------------------------------- /atxtCtrH { 3 -1 roll % wy string wx dup % wy string wx wx 4 1 roll % wx wy string wx /xW ex def % wx wy string strlen % wx wy string nchars xW mul /xW ex def dup % str str sw % str wx wy pop % str wx xW add % str wx+xW 2 div neg dup 0 rm /ctrFlagH exch def } bind def %--------------------------------------------------------------------- % txtCtrHend % Finish Center Justifying a string Horiz % cp shoud be at center of string %--------------------------------------------------------------------- /txtCtrHend { ctrFlagH 0 rm /ctrFlagH 0 def } bind def %--------------------------------------------------------------------- % string txtRtH % Right Justify a string Horiz %--------------------------------------------------------------------- /txtRtH {dup sw pop neg 0 rm} bind def %--------------------------------------------------------------------- % string txtRtH % Right Justify a string Horiz %--------------------------------------------------------------------- /atxtRtH { 3 -1 roll % wy string wx dup % wy string wx wx 4 1 roll % wx wy string wx /xW ex def % wx wy string strlen % wx wy string nchars xW mul /xW ex def dup sw pop xW add % str wx+xW neg 0 rm } bind def %--------------------------------------------------------------------- % txtCtrV % Center Justify a string Vertically %--------------------------------------------------------------------- /txtCtrV { gs np 0 0 m (X) true charpath flattenpath pathbbox ex pop sub neg 2 div 0 ex gr rm pop /ctrFlagV 1 def } bind def %--------------------------------------------------------------------- % txtCtrVend % Center Justify a string Vertically %--------------------------------------------------------------------- /txtCtrVend { gs np 0 0 m (X) true charpath flattenpath pathbbox ex pop sub neg 2 div 0 ex gr neg rm pop /ctrFlagV 0 def } bind def %--------------------------------------------------------------------- % string txtTopV % Top Justify a string Vertically %--------------------------------------------------------------------- /txtTopV { gs np 0 0 m (X) true charpath flattenpath pathbbox ex pop sub neg 0 ex gr rm pop /topFlagV 1 def } bind def %--------------------------------------------------------------------- % txtTopVend % Top Justify a string Vertically %--------------------------------------------------------------------- /txtTopVend { gs np 0 0 m (X) true charpath flattenpath pathbbox ex pop sub neg 0 ex gr neg rm pop /topFlagV 0 def } bind def %--------------------------------------------------------------------- % ash display text & readjusts cp for Top & Center Vertical % text justification %--------------------------------------------------------------------- /ash { ashow topFlagV 1 eq { txtTopVend } if ctrFlagV 1 eq { txtCtrVend } if ctrFlagH 0 ne { txtCtrHend } if } bind def %--------------------------------------------------------------------- % sh display text & readjusts cp for Top & Center Vertical % text justification %--------------------------------------------------------------------- /sh { show topFlagV 1 eq { txtTopVend } if ctrFlagV 1 eq { txtCtrVend } if ctrFlagH 0 ne { txtCtrHend } if } bind def %--------------------------------------------------------------------- % xs % Extended Stroke %--------------------------------------------------------------------- /xs { LineColor -1 ne { cxy st m }{ cxy np m }ifelse } bind def %--------------------------------------------------------------------- % color SLC % SetLineColor % -1 turns off line drawing %--------------------------------------------------------------------- /SLC { dup /LineColor exch def SCC }bind def %--------------------------------------------------------------------- % index [r g b] SRC % SetRgbColor %--------------------------------------------------------------------- /SRC { /rgbTmp exch def /rgbIndex exch def /rgbAbs 0.0 def rgbTmp 0 get 1. 255. div mul rgbTmp exch 0 exch put rgbTmp 1 get 1. 255. div mul rgbTmp exch 1 exch put rgbTmp 2 get 1. 255. div mul rgbTmp exch 2 exch put rgbColors rgbIndex rgbTmp put rgbTmp { dup mul rgbAbs add /rgbAbs exch def } forall grayColors rgbIndex rgbAbs sqrt put }bind def %--------------------------------------------------------------------- % color SCC % SetCurColor %--------------------------------------------------------------------- /SCC { dup -1 ne { % -1 turns of line drawing ColorMap exch get dup type /arraytype ne { setgray }{ {} forall setrgbcolor } ifelse }{ pop % remove -1 from stack }ifelse }bind def %--------------------------------------------------------------------- % [] phase SLS % SetLineStyle %--------------------------------------------------------------------- /SLS { /Phase exch def /LineStyle exch def LineStyle Phase setdash }bind def %--------------------------------------------------------------------- % width SLW % SetLineWidth ( 1/300 inch ) %--------------------------------------------------------------------- /SLW { /LineWidth exch def LineWidth UnitWidth mul setlinewidth }bind def %--------------------------------------------------------------------- % color SFC % SetFillColor %--------------------------------------------------------------------- /SFC { /AreaColor exch def }bind def %--------------------------------------------------------------------- % SUF % SetUserFill pattern = hex no %--------------------------------------------------------------------- /SUF { /UserFillPat exch def % set pattern /FillStyle 84 def % set flag }bind def %--------------------------------------------------------------------- % style SFS % SetFillStyle style no (0-11) %--------------------------------------------------------------------- /SFS { /FillStyle exch def }bind def %--------------------------------------------------------------------- % mode SFM % SetFillMode ( 1-Opaque, 2-Transparent) %--------------------------------------------------------------------- /SFM { /FillMode exch def }bind def %--------------------------------------------------------------------- % fontno SCF SetCurFont %--------------------------------------------------------------------- /SCF { dup /CurFont exch def % save font no. FontNames exch get findfont [ FSX CurFont get FSXN mul FSXD div PX mul SX div 0 0 FSY CurFont get FSYN mul FSYD div PY mul SY div 0 0 ] makefont setfont }bind def %--------------------------------------------------------------------- % xn xd yn yd SFX % SetFontScale %--------------------------------------------------------------------- /SFX { /FSYD exch def /FSYN exch def /FSXD exch def /FSXN exch def CurFont SCF }bind def %--------------------------------------------------------------------- % [ f1 f2 f3 f4 f5 f6 f7 ] SFNS % SetFontNames %--------------------------------------------------------------------- /SFNS { /FontNames exch def }bind def %--------------------------------------------------------------------- % [7 xsizes] [7 ysizes] SFZ % SetFontSizes %--------------------------------------------------------------------- /SFSZ { /FSY exch def /FSX exch def }bind def %--------------------------------------------------------------------- % px py SPS % SetPageSize %--------------------------------------------------------------------- /SPS { /PY exch def /PX exch def }bind def %--------------------------------------------------------------------- % x y color Pix % SetPixel 1-Pixel = 1/300" pixel! %--------------------------------------------------------------------- /Pix { gsave % SCC moveto % set color & position 1 setlinewidth [] 0 setdash % set attributes 1 0 rlineto stroke % do it! grestore % } bind def %--------------------------------------------------------------------- % x1 x2 y2 y2 Ln % Line %--------------------------------------------------------------------- /Ln { gs np 4 -2 roll m l st gr } bind def %--------------------------------------------------------------------- % x1 y1 x2 y2 flag Rect (flag: 1-outline,2-fill,3-both) %--------------------------------------------------------------------- /Rect { /FillFlag exch def gs np DrawRect FillArea OutLine gr } bind def %--------------------------------------------------------------------- % x1 y1 x2 y2 x3 y3 .... flag PolyF % PolyFill - fill current path %--------------------------------------------------------------------- /PolyF { /FillFlag exch def gs closepath FillArea OutLine gr } bind def %--------------------------------------------------------------------- % x1 y1 x2 y2 ClipR % ClipRect %--------------------------------------------------------------------- /ClipR { cxy 6 2 roll % cx cy x1 y1 x2 y2 gr gs 0 setlinewidth np DrawRect eoclip np m %-- Reset graphics state LineWidth SLW LineColor SLC FSXN FSXD FSYN FSYD SFX CurFont SCF LineStyle 0 setdash } bind def %-PRIVATE------------------------------------------------------------- % x1 y1 x2 y2 DrawRect %--------------------------------------------------------------------- /DrawRect { 3 in 3 in moveto 1 in 3 in lineto 3 in 1 in 4 -2 roll lineto lineto pop pop closepath % lineto } bind def %-PRIVATE------------------------------------------------------------- % xc yc sa ea rx ry DrawArc %--------------------------------------------------------------------- /DrawArc { /savematrix matrix currentmatrix def 6 -2 roll translate scale 0 0 1 5 -2 roll 1 -1 scale arc 1 -1 scale savematrix setmatrix }bind def %--------------------------------------------------------------------- % xc yc sa ea rx ry Arc %--------------------------------------------------------------------- /Arc { gs np DrawArc [] 0 sd st gr } bind def %--------------------------------------------------------------------- % xc yc sa ea rx ry flag Pie (flag: 1-Outline,2-Fill,3-Both) %--------------------------------------------------------------------- /Pie { /FillFlag exch def gs np 6 -2 roll 2 copy 2 copy m 8 4 roll DrawArc cp FillArea OutLine gr } bind def %--------------------------------------------------------------------- % xc yc rx ry flag ELLIPSE (flag: 1-Outline,2-Fill,3-Both) %--------------------------------------------------------------------- /Ellipse { /FillFlag exch def gs np 0 360 4 2 roll DrawArc FillArea OutLine gr }bind def %-PRIVATE------------------------------------------------------------- % OutLine %--------------------------------------------------------------------- /OutLine { FillFlag 1 and 1 eq { [] 0 sd LineColor SCC st }if }bind def %-PRIVATE------------------------------------------------------------- % FillArea - fills current path %--------------------------------------------------------------------- /FillArea { FillFlag 2 and 2 eq { gs ; eoclip clippath AreaColor SCC PatternFill gr }if }bind def %-PRIVATE------------------------------------------------------------- % PatternFill %--------------------------------------------------------------------- /PatternFill { /psize 8 PatSize mul def /FillFont findfont psize scalefont setfont % set Pattern font FillChar 0 FillStyle PatChar add put % fill char index FillMode 1 eq { gsave 1 setgray fill grestore }if % erase background pathbbox % llx lly urx ury newpath ceiling cvi /fy2 exch def ceiling cvi /fx2 exch def cvi 7 not and /fy1 exch def cvi 7 not and /fx1 exch def fx2 fx1 sub psize div ceiling cvi /fwidth exch def fy1 psize fy2 % { % fx1 exch moveto % fwidth { FillChar show } repeat % } for % } bind def %--------------------------------------------------------------------- % savePGL %--------------------------------------------------------------------- /savePGL{ /saveObj save def }bind def %--------------------------------------------------------------------- % #copies newPage %--------------------------------------------------------------------- /newPage{ /#copies exch def showpage saveObj restore /#copies 1 def }bind def %---------------------------------------------------------------------- % x,y,npixels bmRow % Bitmap row data, 1 row at a time... %---------------------------------------------------------------------- /bmRow { /bmPixels exch def /bmY exch def /bmX exch def currentpoint stroke moveto % save x,y stroke and moveto gsave % save graphics state 1 setlinewidth % linewidth 0 setlinecap % but cap [] 0 setdash % solid style bmX .5 add bmY .5 add moveto % move to start of row % % Read & decompress a whole row of pixel color data via RLE % currentfile rleFlag readhexstring pop 0 get 1 eq { /cumBytes 0 def { currentfile rleStr readhexstring pop dup 0 get 1 add exch % count rleStr 1 get SCC % count dup % dup count 0 rlineto % draw currentpoint stroke moveto /cumBytes exch cumBytes add def cumBytes bmPixels ge { exit } if }loop }{ 1 1 bmPixels { pop currentfile bmStr readhexstring pop 0 get SCC 1 0 rlineto currentpoint stroke moveto }for }ifelse grestore }bind def %---------------------------------------------------------------------- % DPI PMAXX PMAXY PageHght TopMgn LftMgn LandFlag ColorModel initPGL %---------------------------------------------------------------------- /initPGL { %---Page Constants /ColorModel exch def /LandFlag exch def /LeftMgn exch def /TopMgn exch def /PageHeight exch def /PY exch def /PX exch def %---Select/Set Color model /ColorMap ColorChoices ColorModel get def % default colors=b&w %---Save state & set output res savePGL %---Set output res scaling, dpi on stack(300?) /dpiRes exch def % dots per inch /dphiRes dpiRes 100 div def % pots per 1/100 inches (hinches) 72 dpiRes div dup scale %---Set coordinate origin, & dir LandFlag 1 ne { % Portrait Setup LeftMgn dphiRes mul PageHeight TopMgn sub dphiRes mul }{ % Landscape Setup 90 rotate LeftMgn dphiRes mul TopMgn dphiRes mul neg }ifelse translate 1 -1 scale %---Adjust font scale factor sizes, relative to 5000x5000 0 1 6 { dup FSX exch get 4999 PX div mul FSX 3 1 roll put } for 0 1 6 { dup FSY exch get 4999 PY div mul FSY 3 1 roll put } for %---Set default graphics state np 0 0 m 1 SLC 1 SLW [] 0 SLS 1 1 1 1 SFX 0 SCF <0000000000000000> SUF 10 setmiterlimit 0 setlinejoin 1 setlinecap gs % save for clipping xs 0 0 PX PY ClipR }bind def %%EndProlog 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913 237 Ln 913 237 903 239 Ln 903 239 898 241 Ln 898 241 897 242 Ln 897 242 895 247 Ln 895 251 897 254 Ln 897 254 898 256 Ln 898 256 903 259 Ln 903 259 913 260 Ln 913 260 919 260 Ln 919 260 928 259 Ln 928 259 933 256 Ln 933 256 935 254 Ln 935 254 937 251 Ln 898 280 897 278 Ln 897 278 895 280 Ln 895 280 897 281 Ln 897 281 898 280 Ln 937 310 935 303 Ln 935 303 928 299 Ln 928 299 919 298 Ln 919 298 913 298 Ln 913 298 903 299 Ln 903 299 897 303 Ln 897 303 895 310 Ln 895 310 895 313 Ln 895 313 897 319 Ln 897 319 903 323 Ln 903 323 913 325 Ln 913 325 919 325 Ln 919 325 928 323 Ln 928 323 935 319 Ln 935 319 937 313 Ln 937 313 937 310 Ln 937 310 935 305 Ln 935 305 933 303 Ln 933 303 928 302 Ln 928 302 919 299 Ln 919 299 913 299 Ln 913 299 903 302 Ln 903 302 898 303 Ln 898 303 897 305 Ln 897 305 895 310 Ln 895 313 897 317 Ln 897 317 898 319 Ln 898 319 903 321 Ln 903 321 913 323 Ln 913 323 919 323 Ln 919 323 928 321 Ln 928 321 933 319 Ln 933 319 935 317 Ln 935 317 937 313 Ln 937 351 935 344 Ln 935 344 928 341 Ln 928 341 919 338 Ln 919 338 913 338 Ln 913 338 903 341 Ln 903 341 897 344 Ln 897 344 895 351 Ln 895 351 895 355 Ln 895 355 897 360 Ln 897 360 903 365 Ln 903 365 913 366 Ln 913 366 919 366 Ln 919 366 928 365 Ln 928 365 935 360 Ln 935 360 937 355 Ln 937 355 937 351 Ln 937 351 935 346 Ln 935 346 933 344 Ln 933 344 928 343 Ln 928 343 919 341 Ln 919 341 913 341 Ln 913 341 903 343 Ln 903 343 898 344 Ln 898 344 897 346 Ln 897 346 895 351 Ln 895 355 897 358 Ln 897 358 898 360 Ln 898 360 903 362 Ln 903 362 913 365 Ln 913 365 919 365 Ln 919 365 928 362 Ln 928 362 933 360 Ln 933 360 935 358 Ln 935 358 937 355 Ln 1005 792 990 792 Ln 2669 792 2684 792 Ln 1005 873 990 873 Ln 2669 873 2684 873 Ln 1005 954 990 954 Ln 2669 954 2684 954 Ln 1005 1036 990 1036 Ln 2669 1036 2684 1036 Ln 1005 710 982 710 Ln 2669 710 2693 710 Ln 937 656 935 650 Ln 935 650 928 646 Ln 928 646 919 644 Ln 919 644 913 644 Ln 913 644 903 646 Ln 903 646 897 650 Ln 897 650 895 656 Ln 895 656 895 660 Ln 895 660 897 666 Ln 897 666 903 670 Ln 903 670 913 671 Ln 913 671 919 671 Ln 919 671 928 670 Ln 928 670 935 666 Ln 935 666 937 660 Ln 937 660 937 656 Ln 937 656 935 652 Ln 935 652 933 650 Ln 933 650 928 648 Ln 928 648 919 646 Ln 919 646 913 646 Ln 913 646 903 648 Ln 903 648 898 650 Ln 898 650 897 652 Ln 897 652 895 656 Ln 895 660 897 663 Ln 897 663 898 666 Ln 898 666 903 668 Ln 903 668 913 670 Ln 913 670 919 670 Ln 919 670 928 668 Ln 928 668 933 666 Ln 933 666 935 663 Ln 935 663 937 660 Ln 898 689 897 687 Ln 897 687 895 689 Ln 895 689 897 691 Ln 897 691 898 689 Ln 928 709 927 711 Ln 927 711 925 709 Ln 925 709 927 707 Ln 927 707 928 707 Ln 928 707 933 709 Ln 933 709 935 711 Ln 935 711 937 717 Ln 937 717 937 725 Ln 937 725 935 731 Ln 935 731 933 732 Ln 933 732 928 734 Ln 928 734 925 734 Ln 925 734 921 732 Ln 921 732 917 726 Ln 917 726 913 717 Ln 913 717 911 713 Ln 911 713 906 709 Ln 906 709 901 707 Ln 901 707 895 707 Ln 937 725 935 728 Ln 935 728 933 731 Ln 933 731 928 732 Ln 928 732 925 732 Ln 925 732 921 731 Ln 921 731 917 725 Ln 917 725 913 717 Ln 898 707 901 709 Ln 901 709 901 713 Ln 901 713 897 723 Ln 897 723 897 728 Ln 897 728 898 732 Ln 898 732 901 734 Ln 901 713 895 723 Ln 895 723 895 731 Ln 895 731 897 732 Ln 897 732 901 734 Ln 901 734 905 734 Ln 937 752 917 748 Ln 917 748 921 752 Ln 921 752 922 758 Ln 922 758 922 764 Ln 922 764 921 769 Ln 921 769 917 774 Ln 917 774 911 775 Ln 911 775 906 775 Ln 906 775 901 774 Ln 901 774 897 769 Ln 897 769 895 764 Ln 895 764 895 758 Ln 895 758 897 752 Ln 897 752 898 750 Ln 898 750 903 748 Ln 903 748 905 748 Ln 905 748 906 750 Ln 906 750 905 752 Ln 905 752 903 750 Ln 922 764 921 767 Ln 921 767 917 771 Ln 917 771 911 774 Ln 911 774 906 774 Ln 906 774 901 771 Ln 901 771 897 767 Ln 897 767 895 764 Ln 937 752 937 771 Ln 935 752 935 761 Ln 935 761 937 771 Ln 1005 1201 990 1201 Ln 2669 1201 2684 1201 Ln 1005 1282 990 1282 Ln 2669 1282 2684 1282 Ln 1005 1364 990 1364 Ln 2669 1364 2684 1364 Ln 1005 1445 990 1445 Ln 2669 1445 2684 1445 Ln 1005 1120 982 1120 Ln 2669 1120 2693 1120 Ln 937 1065 935 1059 Ln 935 1059 928 1055 Ln 928 1055 919 1053 Ln 919 1053 913 1053 Ln 913 1053 903 1055 Ln 903 1055 897 1059 Ln 897 1059 895 1065 Ln 895 1065 895 1069 Ln 895 1069 897 1075 Ln 897 1075 903 1079 Ln 903 1079 913 1081 Ln 913 1081 919 1081 Ln 919 1081 928 1079 Ln 928 1079 935 1075 Ln 935 1075 937 1069 Ln 937 1069 937 1065 Ln 937 1065 935 1061 Ln 935 1061 933 1059 Ln 933 1059 928 1057 Ln 928 1057 919 1055 Ln 919 1055 913 1055 Ln 913 1055 903 1057 Ln 903 1057 898 1059 Ln 898 1059 897 1061 Ln 897 1061 895 1065 Ln 895 1069 897 1072 Ln 897 1072 898 1075 Ln 898 1075 903 1077 Ln 903 1077 913 1079 Ln 913 1079 919 1079 Ln 919 1079 928 1077 Ln 928 1077 933 1075 Ln 933 1075 935 1072 Ln 935 1072 937 1069 Ln 898 1099 897 1096 Ln 897 1096 895 1099 Ln 895 1099 897 1100 Ln 897 1100 898 1099 Ln 937 1120 917 1116 Ln 917 1116 921 1120 Ln 921 1120 922 1126 Ln 922 1126 922 1132 Ln 922 1132 921 1138 Ln 921 1138 917 1142 Ln 917 1142 911 1143 Ln 911 1143 906 1143 Ln 906 1143 901 1142 Ln 901 1142 897 1138 Ln 897 1138 895 1132 Ln 895 1132 895 1126 Ln 895 1126 897 1120 Ln 897 1120 898 1118 Ln 898 1118 903 1116 Ln 903 1116 905 1116 Ln 905 1116 906 1118 Ln 906 1118 905 1120 Ln 905 1120 903 1118 Ln 922 1132 921 1135 Ln 921 1135 917 1140 Ln 917 1140 911 1142 Ln 911 1142 906 1142 Ln 906 1142 901 1140 Ln 901 1140 897 1135 Ln 897 1135 895 1132 Ln 937 1120 937 1140 Ln 935 1120 935 1129 Ln 935 1129 937 1140 Ln 937 1169 935 1163 Ln 935 1163 928 1159 Ln 928 1159 919 1157 Ln 919 1157 913 1157 Ln 913 1157 903 1159 Ln 903 1159 897 1163 Ln 897 1163 895 1169 Ln 895 1169 895 1173 Ln 895 1173 897 1178 Ln 897 1178 903 1183 Ln 903 1183 913 1184 Ln 913 1184 919 1184 Ln 919 1184 928 1183 Ln 928 1183 935 1178 Ln 935 1178 937 1173 Ln 937 1173 937 1169 Ln 937 1169 935 1165 Ln 935 1165 933 1163 Ln 933 1163 928 1161 Ln 928 1161 919 1159 Ln 919 1159 913 1159 Ln 913 1159 903 1161 Ln 903 1161 898 1163 Ln 898 1163 897 1165 Ln 897 1165 895 1169 Ln 895 1173 897 1176 Ln 897 1176 898 1178 Ln 898 1178 903 1181 Ln 903 1181 913 1183 Ln 913 1183 919 1183 Ln 919 1183 928 1181 Ln 928 1181 933 1178 Ln 933 1178 935 1176 Ln 935 1176 937 1173 Ln 1005 1610 990 1610 Ln 2669 1610 2684 1610 Ln 1005 1691 990 1691 Ln 2669 1691 2684 1691 Ln 1005 1773 990 1773 Ln 2669 1773 2684 1773 Ln 1005 1854 990 1854 Ln 2669 1854 2684 1854 Ln 1005 1529 982 1529 Ln 2669 1529 2693 1529 Ln 937 1475 935 1468 Ln 935 1468 928 1464 Ln 928 1464 919 1462 Ln 919 1462 913 1462 Ln 913 1462 903 1464 Ln 903 1464 897 1468 Ln 897 1468 895 1475 Ln 895 1475 895 1478 Ln 895 1478 897 1484 Ln 897 1484 903 1488 Ln 903 1488 913 1490 Ln 913 1490 919 1490 Ln 919 1490 928 1488 Ln 928 1488 935 1484 Ln 935 1484 937 1478 Ln 937 1478 937 1475 Ln 937 1475 935 1470 Ln 935 1470 933 1468 Ln 933 1468 928 1467 Ln 928 1467 919 1464 Ln 919 1464 913 1464 Ln 913 1464 903 1467 Ln 903 1467 898 1468 Ln 898 1468 897 1470 Ln 897 1470 895 1475 Ln 895 1478 897 1482 Ln 897 1482 898 1484 Ln 898 1484 903 1486 Ln 903 1486 913 1488 Ln 913 1488 919 1488 Ln 919 1488 928 1486 Ln 928 1486 933 1484 Ln 933 1484 935 1482 Ln 935 1482 937 1478 Ln 898 1508 897 1505 Ln 897 1505 895 1508 Ln 895 1508 897 1509 Ln 897 1509 898 1508 Ln 937 1525 925 1525 Ln 928 1525 933 1527 Ln 933 1527 937 1531 Ln 937 1531 937 1535 Ln 937 1535 931 1544 Ln 931 1544 931 1548 Ln 931 1548 933 1551 Ln 933 1551 937 1553 Ln 933 1527 935 1531 Ln 935 1531 935 1535 Ln 935 1535 931 1544 Ln 937 1553 931 1553 Ln 931 1553 925 1551 Ln 925 1551 915 1543 Ln 915 1543 911 1541 Ln 911 1541 905 1539 Ln 905 1539 895 1539 Ln 925 1551 915 1541 Ln 915 1541 911 1539 Ln 911 1539 905 1537 Ln 905 1537 895 1537 Ln 937 1571 917 1566 Ln 917 1566 921 1571 Ln 921 1571 922 1576 Ln 922 1576 922 1582 Ln 922 1582 921 1587 Ln 921 1587 917 1592 Ln 917 1592 911 1593 Ln 911 1593 906 1593 Ln 906 1593 901 1592 Ln 901 1592 897 1587 Ln 897 1587 895 1582 Ln 895 1582 895 1576 Ln 895 1576 897 1571 Ln 897 1571 898 1568 Ln 898 1568 903 1566 Ln 903 1566 905 1566 Ln 905 1566 906 1568 Ln 906 1568 905 1571 Ln 905 1571 903 1568 Ln 922 1582 921 1586 Ln 921 1586 917 1590 Ln 917 1590 911 1592 Ln 911 1592 906 1592 Ln 906 1592 901 1590 Ln 901 1590 897 1586 Ln 897 1586 895 1582 Ln 937 1571 937 1590 Ln 935 1571 935 1580 Ln 935 1580 937 1590 Ln 1005 1938 982 1938 Ln 2669 1938 2693 1938 Ln 928 1877 931 1881 Ln 931 1881 937 1887 Ln 937 1887 895 1887 Ln 935 1885 895 1885 Ln 895 1877 895 1895 Ln 898 1917 897 1915 Ln 897 1915 895 1917 Ln 895 1917 897 1918 Ln 897 1918 898 1917 Ln 937 1947 935 1940 Ln 935 1940 928 1936 Ln 928 1936 919 1934 Ln 919 1934 913 1934 Ln 913 1934 903 1936 Ln 903 1936 897 1940 Ln 897 1940 895 1947 Ln 895 1947 895 1950 Ln 895 1950 897 1956 Ln 897 1956 903 1960 Ln 903 1960 913 1962 Ln 913 1962 919 1962 Ln 919 1962 928 1960 Ln 928 1960 935 1956 Ln 935 1956 937 1950 Ln 937 1950 937 1947 Ln 937 1947 935 1942 Ln 935 1942 933 1940 Ln 933 1940 928 1938 Ln 928 1938 919 1936 Ln 919 1936 913 1936 Ln 913 1936 903 1938 Ln 903 1938 898 1940 Ln 898 1940 897 1942 Ln 897 1942 895 1947 Ln 895 1950 897 1954 Ln 897 1954 898 1956 Ln 898 1956 903 1958 Ln 903 1958 913 1960 Ln 913 1960 919 1960 Ln 919 1960 928 1958 Ln 928 1958 933 1956 Ln 933 1956 935 1954 Ln 935 1954 937 1950 Ln 937 1987 935 1981 Ln 935 1981 928 1977 Ln 928 1977 919 1975 Ln 919 1975 913 1975 Ln 913 1975 903 1977 Ln 903 1977 897 1981 Ln 897 1981 895 1987 Ln 895 1987 895 1991 Ln 895 1991 897 1997 Ln 897 1997 903 2001 Ln 903 2001 913 2002 Ln 913 2002 919 2002 Ln 919 2002 928 2001 Ln 928 2001 935 1997 Ln 935 1997 937 1991 Ln 937 1991 937 1987 Ln 937 1987 935 1983 Ln 935 1983 933 1981 Ln 933 1981 928 1980 Ln 928 1980 919 1977 Ln 919 1977 913 1977 Ln 913 1977 903 1980 Ln 903 1980 898 1981 Ln 898 1981 897 1983 Ln 897 1983 895 1987 Ln 895 1991 897 1995 Ln 897 1995 898 1997 Ln 898 1997 903 1999 Ln 903 1999 913 2001 Ln 913 2001 919 2001 Ln 919 2001 928 1999 Ln 928 1999 933 1997 Ln 933 1997 935 1995 Ln 935 1995 937 1991 Ln 1005 301 2669 301 Ln 1005 1938 2669 1938 Ln 1006 301 2669 301 Ln 1005 1938 2670 1938 Ln 1007 299 2669 299 Ln 1004 1939 2671 1939 Ln 1008 299 2669 299 Ln 1003 1940 2671 1940 Ln 1008 298 2669 298 Ln 1003 1941 2672 1941 Ln 1088 301 1088 286 Ln 1088 1938 1088 1953 Ln 1171 301 1171 286 Ln 1171 1938 1171 1953 Ln 1254 301 1254 286 Ln 1254 1938 1254 1953 Ln 1337 301 1337 286 Ln 1337 1938 1337 1953 Ln 1005 301 1005 278 Ln 1005 1938 1005 1961 Ln 951 227 944 229 Ln 944 229 940 235 Ln 940 235 938 245 Ln 938 245 938 251 Ln 938 251 940 260 Ln 940 260 944 266 Ln 944 266 951 269 Ln 951 269 954 269 Ln 954 269 960 266 Ln 960 266 964 260 Ln 964 260 966 251 Ln 966 251 966 245 Ln 966 245 964 235 Ln 964 235 960 229 Ln 960 229 954 227 Ln 954 227 951 227 Ln 951 227 946 229 Ln 946 229 944 231 Ln 944 231 942 235 Ln 942 235 940 245 Ln 940 245 940 251 Ln 940 251 942 260 Ln 942 260 944 265 Ln 944 265 946 266 Ln 946 266 951 269 Ln 954 269 958 266 Ln 958 266 960 265 Ln 960 265 962 260 Ln 962 260 964 251 Ln 964 251 964 245 Ln 964 245 962 235 Ln 962 235 960 231 Ln 960 231 958 229 Ln 958 229 954 227 Ln 984 265 982 266 Ln 982 266 984 269 Ln 984 269 985 266 Ln 985 266 984 265 Ln 1014 227 1008 229 Ln 1008 229 1004 235 Ln 1004 235 1002 245 Ln 1002 245 1002 251 Ln 1002 251 1004 260 Ln 1004 260 1008 266 Ln 1008 266 1014 269 Ln 1014 269 1018 269 Ln 1018 269 1024 266 Ln 1024 266 1028 260 Ln 1028 260 1030 251 Ln 1030 251 1030 245 Ln 1030 245 1028 235 Ln 1028 235 1024 229 Ln 1024 229 1018 227 Ln 1018 227 1014 227 Ln 1014 227 1010 229 Ln 1010 229 1008 231 Ln 1008 231 1006 235 Ln 1006 235 1004 245 Ln 1004 245 1004 251 Ln 1004 251 1006 260 Ln 1006 260 1008 265 Ln 1008 265 1010 266 Ln 1010 266 1014 269 Ln 1018 269 1021 266 Ln 1021 266 1024 265 Ln 1024 265 1026 260 Ln 1026 260 1028 251 Ln 1028 251 1028 245 Ln 1028 245 1026 235 Ln 1026 235 1024 231 Ln 1024 231 1021 229 Ln 1021 229 1018 227 Ln 1056 227 1050 229 Ln 1050 229 1046 235 Ln 1046 235 1044 245 Ln 1044 245 1044 251 Ln 1044 251 1046 260 Ln 1046 260 1050 266 Ln 1050 266 1056 269 Ln 1056 269 1060 269 Ln 1060 269 1066 266 Ln 1066 266 1070 260 Ln 1070 260 1071 251 Ln 1071 251 1071 245 Ln 1071 245 1070 235 Ln 1070 235 1066 229 Ln 1066 229 1060 227 Ln 1060 227 1056 227 Ln 1056 227 1051 229 Ln 1051 229 1050 231 Ln 1050 231 1048 235 Ln 1048 235 1046 245 Ln 1046 245 1046 251 Ln 1046 251 1048 260 Ln 1048 260 1050 265 Ln 1050 265 1051 266 Ln 1051 266 1056 269 Ln 1060 269 1063 266 Ln 1063 266 1066 265 Ln 1066 265 1067 260 Ln 1067 260 1070 251 Ln 1070 251 1070 245 Ln 1070 245 1067 235 Ln 1067 235 1066 231 Ln 1066 231 1063 229 Ln 1063 229 1060 227 Ln 1504 301 1504 286 Ln 1504 1938 1504 1953 Ln 1587 301 1587 286 Ln 1587 1938 1587 1953 Ln 1670 301 1670 286 Ln 1670 1938 1670 1953 Ln 1753 301 1753 286 Ln 1753 1938 1753 1953 Ln 1421 301 1421 278 Ln 1421 1938 1421 1961 Ln 1367 227 1360 229 Ln 1360 229 1356 235 Ln 1356 235 1354 245 Ln 1354 245 1354 251 Ln 1354 251 1356 260 Ln 1356 260 1360 266 Ln 1360 266 1367 269 Ln 1367 269 1370 269 Ln 1370 269 1376 266 Ln 1376 266 1380 260 Ln 1380 260 1382 251 Ln 1382 251 1382 245 Ln 1382 245 1380 235 Ln 1380 235 1376 229 Ln 1376 229 1370 227 Ln 1370 227 1367 227 Ln 1367 227 1362 229 Ln 1362 229 1360 231 Ln 1360 231 1358 235 Ln 1358 235 1356 245 Ln 1356 245 1356 251 Ln 1356 251 1358 260 Ln 1358 260 1360 265 Ln 1360 265 1362 266 Ln 1362 266 1367 269 Ln 1370 269 1374 266 Ln 1374 266 1376 265 Ln 1376 265 1378 260 Ln 1378 260 1380 251 Ln 1380 251 1380 245 Ln 1380 245 1378 235 Ln 1378 235 1376 231 Ln 1376 231 1374 229 Ln 1374 229 1370 227 Ln 1400 265 1398 266 Ln 1398 266 1400 269 Ln 1400 269 1401 266 Ln 1401 266 1400 265 Ln 1420 235 1422 237 Ln 1422 237 1420 239 Ln 1420 239 1417 237 Ln 1417 237 1417 235 Ln 1417 235 1420 231 Ln 1420 231 1422 229 Ln 1422 229 1428 227 Ln 1428 227 1436 227 Ln 1436 227 1442 229 Ln 1442 229 1444 231 Ln 1444 231 1446 235 Ln 1446 235 1446 239 Ln 1446 239 1444 244 Ln 1444 244 1437 247 Ln 1437 247 1428 251 Ln 1428 251 1423 253 Ln 1423 253 1420 257 Ln 1420 257 1417 263 Ln 1417 263 1417 269 Ln 1436 227 1440 229 Ln 1440 229 1442 231 Ln 1442 231 1444 235 Ln 1444 235 1444 239 Ln 1444 239 1442 244 Ln 1442 244 1436 247 Ln 1436 247 1428 251 Ln 1417 265 1420 263 Ln 1420 263 1423 263 Ln 1423 263 1434 266 Ln 1434 266 1440 266 Ln 1440 266 1444 265 Ln 1444 265 1446 263 Ln 1423 263 1434 269 Ln 1434 269 1442 269 Ln 1442 269 1444 266 Ln 1444 266 1446 263 Ln 1446 263 1446 259 Ln 1464 227 1459 247 Ln 1459 247 1464 244 Ln 1464 244 1470 241 Ln 1470 241 1476 241 Ln 1476 241 1482 244 Ln 1482 244 1486 247 Ln 1486 247 1487 253 Ln 1487 253 1487 257 Ln 1487 257 1486 263 Ln 1486 263 1482 266 Ln 1482 266 1476 269 Ln 1476 269 1470 269 Ln 1470 269 1464 266 Ln 1464 266 1462 265 Ln 1462 265 1459 260 Ln 1459 260 1459 259 Ln 1459 259 1462 257 Ln 1462 257 1464 259 Ln 1464 259 1462 260 Ln 1476 241 1479 244 Ln 1479 244 1483 247 Ln 1483 247 1486 253 Ln 1486 253 1486 257 Ln 1486 257 1483 263 Ln 1483 263 1479 266 Ln 1479 266 1476 269 Ln 1464 227 1483 227 Ln 1464 229 1473 229 Ln 1473 229 1483 227 Ln 1920 301 1920 286 Ln 1920 1938 1920 1953 Ln 2003 301 2003 286 Ln 2003 1938 2003 1953 Ln 2086 301 2086 286 Ln 2086 1938 2086 1953 Ln 2168 301 2168 286 Ln 2168 1938 2168 1953 Ln 1838 301 1838 278 Ln 1838 1938 1838 1961 Ln 1782 227 1776 229 Ln 1776 229 1772 235 Ln 1772 235 1770 245 Ln 1770 245 1770 251 Ln 1770 251 1772 260 Ln 1772 260 1776 266 Ln 1776 266 1782 269 Ln 1782 269 1786 269 Ln 1786 269 1792 266 Ln 1792 266 1796 260 Ln 1796 260 1798 251 Ln 1798 251 1798 245 Ln 1798 245 1796 235 Ln 1796 235 1792 229 Ln 1792 229 1786 227 Ln 1786 227 1782 227 Ln 1782 227 1778 229 Ln 1778 229 1776 231 Ln 1776 231 1774 235 Ln 1774 235 1772 245 Ln 1772 245 1772 251 Ln 1772 251 1774 260 Ln 1774 260 1776 265 Ln 1776 265 1778 266 Ln 1778 266 1782 269 Ln 1786 269 1790 266 Ln 1790 266 1792 265 Ln 1792 265 1794 260 Ln 1794 260 1796 251 Ln 1796 251 1796 245 Ln 1796 245 1794 235 Ln 1794 235 1792 231 Ln 1792 231 1790 229 Ln 1790 229 1786 227 Ln 1816 265 1814 266 Ln 1814 266 1816 269 Ln 1816 269 1818 266 Ln 1818 266 1816 265 Ln 1838 227 1833 247 Ln 1833 247 1838 244 Ln 1838 244 1844 241 Ln 1844 241 1850 241 Ln 1850 241 1856 244 Ln 1856 244 1860 247 Ln 1860 247 1862 253 Ln 1862 253 1862 257 Ln 1862 257 1860 263 Ln 1860 263 1856 266 Ln 1856 266 1850 269 Ln 1850 269 1844 269 Ln 1844 269 1838 266 Ln 1838 266 1836 265 Ln 1836 265 1833 260 Ln 1833 260 1833 259 Ln 1833 259 1836 257 Ln 1836 257 1838 259 Ln 1838 259 1836 260 Ln 1850 241 1853 244 Ln 1853 244 1858 247 Ln 1858 247 1860 253 Ln 1860 253 1860 257 Ln 1860 257 1858 263 Ln 1858 263 1853 266 Ln 1853 266 1850 269 Ln 1838 227 1858 227 Ln 1838 229 1848 229 Ln 1848 229 1858 227 Ln 1888 227 1881 229 Ln 1881 229 1878 235 Ln 1878 235 1875 245 Ln 1875 245 1875 251 Ln 1875 251 1878 260 Ln 1878 260 1881 266 Ln 1881 266 1888 269 Ln 1888 269 1892 269 Ln 1892 269 1898 266 Ln 1898 266 1902 260 Ln 1902 260 1904 251 Ln 1904 251 1904 245 Ln 1904 245 1902 235 Ln 1902 235 1898 229 Ln 1898 229 1892 227 Ln 1892 227 1888 227 Ln 1888 227 1884 229 Ln 1884 229 1881 231 Ln 1881 231 1880 235 Ln 1880 235 1878 245 Ln 1878 245 1878 251 Ln 1878 251 1880 260 Ln 1880 260 1881 265 Ln 1881 265 1884 266 Ln 1884 266 1888 269 Ln 1892 269 1895 266 Ln 1895 266 1898 265 Ln 1898 265 1899 260 Ln 1899 260 1902 251 Ln 1902 251 1902 245 Ln 1902 245 1899 235 Ln 1899 235 1898 231 Ln 1898 231 1895 229 Ln 1895 229 1892 227 Ln 2336 301 2336 286 Ln 2336 1938 2336 1953 Ln 2419 301 2419 286 Ln 2419 1938 2419 1953 Ln 2502 301 2502 286 Ln 2502 1938 2502 1953 Ln 2584 301 2584 286 Ln 2584 1938 2584 1953 Ln 2254 301 2254 278 Ln 2254 1938 2254 1961 Ln 2198 227 2192 229 Ln 2192 229 2188 235 Ln 2188 235 2186 245 Ln 2186 245 2186 251 Ln 2186 251 2188 260 Ln 2188 260 2192 266 Ln 2192 266 2198 269 Ln 2198 269 2202 269 Ln 2202 269 2208 266 Ln 2208 266 2212 260 Ln 2212 260 2214 251 Ln 2214 251 2214 245 Ln 2214 245 2212 235 Ln 2212 235 2208 229 Ln 2208 229 2202 227 Ln 2202 227 2198 227 Ln 2198 227 2194 229 Ln 2194 229 2192 231 Ln 2192 231 2190 235 Ln 2190 235 2188 245 Ln 2188 245 2188 251 Ln 2188 251 2190 260 Ln 2190 260 2192 265 Ln 2192 265 2194 266 Ln 2194 266 2198 269 Ln 2202 269 2206 266 Ln 2206 266 2208 265 Ln 2208 265 2210 260 Ln 2210 260 2212 251 Ln 2212 251 2212 245 Ln 2212 245 2210 235 Ln 2210 235 2208 231 Ln 2208 231 2206 229 Ln 2206 229 2202 227 Ln 2232 265 2230 266 Ln 2230 266 2232 269 Ln 2232 269 2234 266 Ln 2234 266 2232 265 Ln 2249 227 2249 239 Ln 2249 235 2252 231 Ln 2252 231 2255 227 Ln 2255 227 2260 227 Ln 2260 227 2269 233 Ln 2269 233 2274 233 Ln 2274 233 2276 231 Ln 2276 231 2278 227 Ln 2252 231 2255 229 Ln 2255 229 2260 229 Ln 2260 229 2269 233 Ln 2278 227 2278 233 Ln 2278 233 2276 239 Ln 2276 239 2268 249 Ln 2268 249 2266 253 Ln 2266 253 2264 259 Ln 2264 259 2264 269 Ln 2276 239 2266 249 Ln 2266 249 2264 253 Ln 2264 253 2262 259 Ln 2262 259 2262 269 Ln 2295 227 2291 247 Ln 2291 247 2295 244 Ln 2295 244 2301 241 Ln 2301 241 2307 241 Ln 2307 241 2313 244 Ln 2313 244 2318 247 Ln 2318 247 2319 253 Ln 2319 253 2319 257 Ln 2319 257 2318 263 Ln 2318 263 2313 266 Ln 2313 266 2307 269 Ln 2307 269 2301 269 Ln 2301 269 2295 266 Ln 2295 266 2294 265 Ln 2294 265 2291 260 Ln 2291 260 2291 259 Ln 2291 259 2294 257 Ln 2294 257 2295 259 Ln 2295 259 2294 260 Ln 2307 241 2311 244 Ln 2311 244 2315 247 Ln 2315 247 2318 253 Ln 2318 253 2318 257 Ln 2318 257 2315 263 Ln 2315 263 2311 266 Ln 2311 266 2307 269 Ln 2295 227 2315 227 Ln 2295 229 2305 229 Ln 2305 229 2315 227 Ln 2669 301 2669 278 Ln 2669 1938 2669 1961 Ln 2608 235 2612 233 Ln 2612 233 2618 227 Ln 2618 227 2618 269 Ln 2616 229 2616 269 Ln 2608 269 2626 269 Ln 2648 265 2646 266 Ln 2646 266 2648 269 Ln 2648 269 2650 266 Ln 2650 266 2648 265 Ln 2678 227 2671 229 Ln 2671 229 2668 235 Ln 2668 235 2666 245 Ln 2666 245 2666 251 Ln 2666 251 2668 260 Ln 2668 260 2671 266 Ln 2671 266 2678 269 Ln 2678 269 2681 269 Ln 2681 269 2687 266 Ln 2687 266 2692 260 Ln 2692 260 2693 251 Ln 2693 251 2693 245 Ln 2693 245 2692 235 Ln 2692 235 2687 229 Ln 2687 229 2681 227 Ln 2681 227 2678 227 Ln 2678 227 2674 229 Ln 2674 229 2671 231 Ln 2671 231 2670 235 Ln 2670 235 2668 245 Ln 2668 245 2668 251 Ln 2668 251 2670 260 Ln 2670 260 2671 265 Ln 2671 265 2674 266 Ln 2674 266 2678 269 Ln 2681 269 2686 266 Ln 2686 266 2687 265 Ln 2687 265 2690 260 Ln 2690 260 2692 251 Ln 2692 251 2692 245 Ln 2692 245 2690 235 Ln 2690 235 2687 231 Ln 2687 231 2686 229 Ln 2686 229 2681 227 Ln 2720 227 2713 229 Ln 2713 229 2710 235 Ln 2710 235 2707 245 Ln 2707 245 2707 251 Ln 2707 251 2710 260 Ln 2710 260 2713 266 Ln 2713 266 2720 269 Ln 2720 269 2723 269 Ln 2723 269 2729 266 Ln 2729 266 2734 260 Ln 2734 260 2735 251 Ln 2735 251 2735 245 Ln 2735 245 2734 235 Ln 2734 235 2729 229 Ln 2729 229 2723 227 Ln 2723 227 2720 227 Ln 2720 227 2716 229 Ln 2716 229 2713 231 Ln 2713 231 2712 235 Ln 2712 235 2710 245 Ln 2710 245 2710 251 Ln 2710 251 2712 260 Ln 2712 260 2713 265 Ln 2713 265 2716 266 Ln 2716 266 2720 269 Ln 2723 269 2727 266 Ln 2727 266 2729 265 Ln 2729 265 2731 260 Ln 2731 260 2734 251 Ln 2734 251 2734 245 Ln 2734 245 2731 235 Ln 2731 235 2729 231 Ln 2729 231 2727 229 Ln 2727 229 2723 227 Ln 1 SLW 790 380 741 380 Ln 790 382 741 382 Ln 776 395 757 395 Ln 790 373 790 409 Ln 790 409 776 409 Ln 776 409 790 407 Ln 767 382 767 395 Ln 741 373 741 409 Ln 741 409 755 409 Ln 755 409 741 407 Ln 783 455 790 458 Ln 790 458 776 458 Ln 776 458 783 455 Ln 783 455 788 451 Ln 788 451 790 444 Ln 790 444 790 437 Ln 790 437 788 430 Ln 788 430 783 426 Ln 783 426 779 426 Ln 779 426 774 428 Ln 774 428 771 430 Ln 771 430 769 434 Ln 769 434 764 448 Ln 764 448 762 453 Ln 762 453 757 458 Ln 779 426 774 430 Ln 774 430 771 434 Ln 771 434 767 448 Ln 767 448 764 453 Ln 764 453 762 455 Ln 762 455 757 458 Ln 757 458 749 458 Ln 749 458 743 453 Ln 743 453 741 446 Ln 741 446 741 439 Ln 741 439 743 432 Ln 743 432 749 428 Ln 749 428 755 426 Ln 755 426 741 426 Ln 741 426 749 428 Ln 790 487 741 487 Ln 790 489 741 489 Ln 790 473 776 470 Ln 776 470 790 470 Ln 790 470 790 505 Ln 790 505 776 505 Ln 776 505 790 503 Ln 741 480 741 495 Ln 790 524 741 524 Ln 790 526 741 526 Ln 790 516 790 533 Ln 741 516 741 533 Ln 790 551 741 551 Ln 790 553 749 567 Ln 790 551 741 567 Ln 790 582 741 567 Ln 790 582 741 582 Ln 790 585 741 585 Ln 790 544 790 553 Ln 790 582 790 592 Ln 741 544 741 557 Ln 741 576 741 592 Ln 790 623 741 606 Ln 790 623 741 638 Ln 783 623 741 636 Ln 755 611 755 632 Ln 741 602 741 615 Ln 741 629 741 642 Ln 790 668 741 668 Ln 790 671 741 671 Ln 790 655 776 652 Ln 776 652 790 652 Ln 790 652 790 687 Ln 790 687 776 687 Ln 776 687 790 684 Ln 741 662 741 677 Ln 790 705 741 705 Ln 790 707 741 707 Ln 776 720 757 720 Ln 790 698 790 734 Ln 790 734 776 734 Ln 776 734 790 732 Ln 767 707 767 720 Ln 741 698 741 734 Ln 741 734 755 734 Ln 755 734 741 732 Ln 790 755 741 755 Ln 790 757 741 757 Ln 790 748 790 771 Ln 790 771 788 778 Ln 788 778 783 782 Ln 783 782 779 784 Ln 779 784 771 786 Ln 771 786 759 786 Ln 759 786 753 784 Ln 753 784 749 782 Ln 749 782 743 778 Ln 743 778 741 771 Ln 741 771 741 748 Ln 790 771 788 776 Ln 788 776 783 780 Ln 783 780 779 782 Ln 779 782 771 784 Ln 771 784 759 784 Ln 759 784 753 782 Ln 753 782 749 780 Ln 749 780 743 776 Ln 743 776 741 771 Ln 790 849 741 858 Ln 790 852 753 858 Ln 790 867 741 858 Ln 790 867 741 877 Ln 790 870 753 877 Ln 790 886 741 877 Ln 790 842 790 858 Ln 790 879 790 892 Ln 790 909 741 909 Ln 790 910 741 910 Ln 767 910 771 915 Ln 771 915 774 922 Ln 774 922 774 927 Ln 774 927 771 934 Ln 771 934 767 936 Ln 767 936 741 936 Ln 774 927 771 931 Ln 771 931 767 934 Ln 767 934 741 934 Ln 790 901 790 910 Ln 741 901 741 918 Ln 741 927 741 943 Ln 790 961 788 960 Ln 788 960 785 961 Ln 785 961 788 964 Ln 788 964 790 961 Ln 774 961 741 961 Ln 774 964 741 964 Ln 774 954 774 964 Ln 741 954 741 971 Ln 790 989 750 989 Ln 750 989 743 991 Ln 743 991 741 996 Ln 741 996 741 1000 Ln 741 1000 743 1005 Ln 743 1005 749 1007 Ln 790 991 750 991 Ln 750 991 743 993 Ln 743 993 741 996 Ln 774 982 774 1000 Ln 759 1024 759 1051 Ln 759 1051 764 1051 Ln 764 1051 769 1049 Ln 769 1049 771 1047 Ln 771 1047 774 1042 Ln 774 1042 774 1035 Ln 774 1035 771 1028 Ln 771 1028 767 1024 Ln 767 1024 759 1021 Ln 759 1021 755 1021 Ln 755 1021 749 1024 Ln 749 1024 743 1028 Ln 743 1028 741 1035 Ln 741 1035 741 1039 Ln 741 1039 743 1047 Ln 743 1047 749 1051 Ln 759 1049 767 1049 Ln 767 1049 771 1047 Ln 774 1035 771 1030 Ln 771 1030 767 1026 Ln 767 1026 759 1024 Ln 759 1024 755 1024 Ln 755 1024 749 1026 Ln 749 1026 743 1030 Ln 743 1030 741 1035 Ln 790 1111 741 1126 Ln 790 1113 749 1126 Ln 790 1142 741 1126 Ln 790 1106 790 1120 Ln 790 1133 790 1147 Ln 774 1173 771 1165 Ln 771 1165 767 1161 Ln 767 1161 759 1159 Ln 759 1159 755 1159 Ln 755 1159 749 1161 Ln 749 1161 743 1165 Ln 743 1165 741 1173 Ln 741 1173 741 1177 Ln 741 1177 743 1184 Ln 743 1184 749 1189 Ln 749 1189 755 1191 Ln 755 1191 759 1191 Ln 759 1191 767 1189 Ln 767 1189 771 1184 Ln 771 1184 774 1177 Ln 774 1177 774 1173 Ln 774 1173 771 1168 Ln 771 1168 767 1163 Ln 767 1163 759 1161 Ln 759 1161 755 1161 Ln 755 1161 749 1163 Ln 749 1163 743 1168 Ln 743 1168 741 1173 Ln 741 1177 743 1181 Ln 743 1181 749 1186 Ln 749 1186 755 1189 Ln 755 1189 759 1189 Ln 759 1189 767 1186 Ln 767 1186 771 1181 Ln 771 1181 774 1177 Ln 790 1211 750 1211 Ln 750 1211 743 1214 Ln 743 1214 741 1218 Ln 741 1218 741 1223 Ln 741 1223 743 1228 Ln 743 1228 749 1229 Ln 790 1214 750 1214 Ln 750 1214 743 1216 Ln 743 1216 741 1218 Ln 774 1204 774 1223 Ln 759 1246 759 1273 Ln 759 1273 764 1273 Ln 764 1273 769 1271 Ln 769 1271 771 1268 Ln 771 1268 774 1264 Ln 774 1264 774 1257 Ln 774 1257 771 1250 Ln 771 1250 767 1246 Ln 767 1246 759 1243 Ln 759 1243 755 1243 Ln 755 1243 749 1246 Ln 749 1246 743 1250 Ln 743 1250 741 1257 Ln 741 1257 741 1261 Ln 741 1261 743 1268 Ln 743 1268 749 1273 Ln 759 1271 767 1271 Ln 767 1271 771 1268 Ln 774 1257 771 1252 Ln 771 1252 767 1247 Ln 767 1247 759 1246 Ln 759 1246 755 1246 Ln 755 1246 749 1247 Ln 749 1247 743 1252 Ln 743 1252 741 1257 Ln 774 1294 741 1294 Ln 774 1296 741 1296 Ln 759 1296 767 1298 Ln 767 1298 771 1303 Ln 771 1303 774 1307 Ln 774 1307 774 1315 Ln 774 1315 771 1317 Ln 771 1317 769 1317 Ln 769 1317 767 1315 Ln 767 1315 769 1312 Ln 769 1312 771 1315 Ln 774 1286 774 1296 Ln 741 1286 741 1303 Ln 790 1379 741 1379 Ln 790 1381 741 1381 Ln 790 1372 790 1400 Ln 790 1400 788 1406 Ln 788 1406 785 1408 Ln 785 1408 780 1411 Ln 780 1411 776 1411 Ln 776 1411 771 1408 Ln 771 1408 769 1406 Ln 769 1406 767 1400 Ln 767 1400 767 1381 Ln 790 1400 788 1404 Ln 788 1404 785 1406 Ln 785 1406 780 1408 Ln 780 1408 776 1408 Ln 776 1408 771 1406 Ln 771 1406 769 1404 Ln 769 1404 767 1400 Ln 741 1372 741 1388 Ln 767 1393 764 1397 Ln 764 1397 762 1400 Ln 762 1400 746 1406 Ln 746 1406 743 1408 Ln 743 1408 743 1411 Ln 743 1411 746 1413 Ln 764 1397 759 1400 Ln 759 1400 743 1404 Ln 743 1404 741 1406 Ln 741 1406 741 1411 Ln 741 1411 746 1413 Ln 746 1413 749 1413 Ln 759 1429 759 1457 Ln 759 1457 764 1457 Ln 764 1457 769 1454 Ln 769 1454 771 1452 Ln 771 1452 774 1447 Ln 774 1447 774 1441 Ln 774 1441 771 1433 Ln 771 1433 767 1429 Ln 767 1429 759 1427 Ln 759 1427 755 1427 Ln 755 1427 749 1429 Ln 749 1429 743 1433 Ln 743 1433 741 1441 Ln 741 1441 741 1445 Ln 741 1445 743 1452 Ln 743 1452 749 1457 Ln 759 1454 767 1454 Ln 767 1454 771 1452 Ln 774 1441 771 1436 Ln 771 1436 767 1431 Ln 767 1431 759 1429 Ln 759 1429 755 1429 Ln 755 1429 749 1431 Ln 749 1431 743 1436 Ln 743 1436 741 1441 Ln 774 1484 771 1480 Ln 771 1480 769 1478 Ln 769 1478 764 1475 Ln 764 1475 759 1475 Ln 759 1475 755 1478 Ln 755 1478 753 1480 Ln 753 1480 750 1484 Ln 750 1484 750 1489 Ln 750 1489 753 1493 Ln 753 1493 755 1496 Ln 755 1496 759 1498 Ln 759 1498 764 1498 Ln 764 1498 769 1496 Ln 769 1496 771 1493 Ln 771 1493 774 1489 Ln 774 1489 774 1484 Ln 771 1480 767 1478 Ln 767 1478 757 1478 Ln 757 1478 753 1480 Ln 753 1493 757 1496 Ln 757 1496 767 1496 Ln 767 1496 771 1493 Ln 769 1496 771 1498 Ln 771 1498 774 1503 Ln 774 1503 771 1503 Ln 771 1503 771 1498 Ln 755 1478 753 1475 Ln 753 1475 749 1473 Ln 749 1473 746 1473 Ln 746 1473 741 1475 Ln 741 1475 740 1482 Ln 740 1482 740 1493 Ln 740 1493 737 1500 Ln 737 1500 734 1503 Ln 746 1473 743 1475 Ln 743 1475 741 1482 Ln 741 1482 741 1493 Ln 741 1493 740 1500 Ln 740 1500 734 1503 Ln 734 1503 732 1503 Ln 732 1503 728 1500 Ln 728 1500 726 1493 Ln 726 1493 726 1480 Ln 726 1480 728 1473 Ln 728 1473 732 1470 Ln 732 1470 734 1470 Ln 734 1470 740 1473 Ln 740 1473 741 1480 Ln 790 1523 788 1521 Ln 788 1521 785 1523 Ln 785 1523 788 1525 Ln 788 1525 790 1523 Ln 774 1523 741 1523 Ln 774 1525 741 1525 Ln 774 1515 774 1525 Ln 741 1515 741 1532 Ln 769 1568 774 1571 Ln 774 1571 764 1571 Ln 764 1571 769 1568 Ln 769 1568 771 1566 Ln 771 1566 774 1562 Ln 774 1562 774 1553 Ln 774 1553 771 1548 Ln 771 1548 769 1546 Ln 769 1546 764 1546 Ln 764 1546 762 1548 Ln 762 1548 759 1553 Ln 759 1553 755 1564 Ln 755 1564 753 1568 Ln 753 1568 750 1571 Ln 767 1546 764 1548 Ln 764 1548 762 1553 Ln 762 1553 757 1564 Ln 757 1564 755 1568 Ln 755 1568 753 1571 Ln 753 1571 746 1571 Ln 746 1571 743 1568 Ln 743 1568 741 1564 Ln 741 1564 741 1554 Ln 741 1554 743 1550 Ln 743 1550 746 1548 Ln 746 1548 750 1546 Ln 750 1546 741 1546 Ln 741 1546 746 1548 Ln 790 1592 750 1592 Ln 750 1592 743 1594 Ln 743 1594 741 1598 Ln 741 1598 741 1604 Ln 741 1604 743 1608 Ln 743 1608 749 1610 Ln 790 1594 750 1594 Ln 750 1594 743 1596 Ln 743 1596 741 1598 Ln 774 1584 774 1604 Ln 774 1629 741 1629 Ln 774 1631 741 1631 Ln 759 1631 767 1633 Ln 767 1633 771 1638 Ln 771 1638 774 1643 Ln 774 1643 774 1650 Ln 774 1650 771 1652 Ln 771 1652 769 1652 Ln 769 1652 767 1650 Ln 767 1650 769 1647 Ln 769 1647 771 1650 Ln 774 1622 774 1631 Ln 741 1622 741 1638 Ln 769 1670 767 1670 Ln 767 1670 767 1668 Ln 767 1668 769 1668 Ln 769 1668 771 1670 Ln 771 1670 774 1674 Ln 774 1674 774 1683 Ln 774 1683 771 1688 Ln 771 1688 769 1691 Ln 769 1691 764 1693 Ln 764 1693 749 1693 Ln 749 1693 743 1695 Ln 743 1695 741 1697 Ln 769 1691 749 1691 Ln 749 1691 743 1693 Ln 743 1693 741 1697 Ln 741 1697 741 1700 Ln 764 1691 762 1688 Ln 762 1688 759 1674 Ln 759 1674 757 1668 Ln 757 1668 753 1665 Ln 753 1665 749 1665 Ln 749 1665 743 1668 Ln 743 1668 741 1674 Ln 741 1674 741 1682 Ln 741 1682 743 1686 Ln 743 1686 749 1691 Ln 759 1674 757 1670 Ln 757 1670 753 1668 Ln 753 1668 749 1668 Ln 749 1668 743 1670 Ln 743 1670 741 1674 Ln 790 1718 750 1718 Ln 750 1718 743 1720 Ln 743 1720 741 1725 Ln 741 1725 741 1730 Ln 741 1730 743 1734 Ln 743 1734 749 1736 Ln 790 1720 750 1720 Ln 750 1720 743 1722 Ln 743 1722 741 1725 Ln 774 1711 774 1730 Ln 790 1755 788 1752 Ln 788 1752 785 1755 Ln 785 1755 788 1757 Ln 788 1757 790 1755 Ln 774 1755 741 1755 Ln 774 1757 741 1757 Ln 774 1748 774 1757 Ln 741 1748 741 1764 Ln 774 1791 771 1784 Ln 771 1784 767 1780 Ln 767 1780 759 1778 Ln 759 1778 755 1778 Ln 755 1778 749 1780 Ln 749 1780 743 1784 Ln 743 1784 741 1791 Ln 741 1791 741 1796 Ln 741 1796 743 1803 Ln 743 1803 749 1807 Ln 749 1807 755 1809 Ln 755 1809 759 1809 Ln 759 1809 767 1807 Ln 767 1807 771 1803 Ln 771 1803 774 1796 Ln 774 1796 774 1791 Ln 774 1791 771 1787 Ln 771 1787 767 1782 Ln 767 1782 759 1780 Ln 759 1780 755 1780 Ln 755 1780 749 1782 Ln 749 1782 743 1787 Ln 743 1787 741 1791 Ln 741 1796 743 1800 Ln 743 1800 749 1805 Ln 749 1805 755 1807 Ln 755 1807 759 1807 Ln 759 1807 767 1805 Ln 767 1805 771 1800 Ln 771 1800 774 1796 Ln 774 1830 741 1830 Ln 774 1833 741 1833 Ln 767 1833 771 1837 Ln 771 1837 774 1844 Ln 774 1844 774 1848 Ln 774 1848 771 1855 Ln 771 1855 767 1858 Ln 767 1858 741 1858 Ln 774 1848 771 1854 Ln 771 1854 767 1855 Ln 767 1855 741 1855 Ln 774 1823 774 1833 Ln 741 1823 741 1840 Ln 741 1848 741 1865 Ln 1208 55 1208 104 Ln 1210 55 1210 104 Ln 1193 55 1191 69 Ln 1191 69 1191 55 Ln 1191 55 1226 55 Ln 1226 55 1226 69 Ln 1226 69 1224 55 Ln 1200 104 1216 104 Ln 1244 55 1244 104 Ln 1246 55 1246 104 Ln 1237 55 1265 55 Ln 1265 55 1272 58 Ln 1272 58 1274 61 Ln 1274 61 1277 65 Ln 1277 65 1277 69 Ln 1277 69 1274 74 Ln 1274 74 1272 76 Ln 1272 76 1265 79 Ln 1265 79 1246 79 Ln 1265 55 1270 58 Ln 1270 58 1272 61 Ln 1272 61 1274 65 Ln 1274 65 1274 69 Ln 1274 69 1272 74 Ln 1272 74 1270 76 Ln 1270 76 1265 79 Ln 1237 104 1254 104 Ln 1258 79 1262 81 Ln 1262 81 1265 83 Ln 1265 83 1272 99 Ln 1272 99 1274 101 Ln 1274 101 1277 101 Ln 1277 101 1279 99 Ln 1262 81 1265 86 Ln 1265 86 1270 101 Ln 1270 101 1272 104 Ln 1272 104 1277 104 Ln 1277 104 1279 99 Ln 1279 99 1279 97 Ln 1298 55 1298 90 Ln 1298 90 1300 97 Ln 1300 97 1304 101 Ln 1304 101 1311 104 Ln 1311 104 1316 104 Ln 1316 104 1323 101 Ln 1323 101 1328 97 Ln 1328 97 1330 90 Ln 1330 90 1330 55 Ln 1300 55 1300 90 Ln 1300 90 1302 97 Ln 1302 97 1307 101 Ln 1307 101 1311 104 Ln 1290 55 1307 55 Ln 1323 55 1337 55 Ln 1356 55 1356 104 Ln 1358 55 1358 104 Ln 1373 69 1373 88 Ln 1349 55 1386 55 Ln 1386 55 1386 69 Ln 1386 69 1384 55 Ln 1358 79 1373 79 Ln 1349 104 1386 104 Ln 1386 104 1386 90 Ln 1386 90 1384 104 Ln 1449 55 1458 104 Ln 1452 55 1458 92 Ln 1467 55 1458 104 Ln 1467 55 1477 104 Ln 1470 55 1477 92 Ln 1486 55 1477 104 Ln 1442 55 1458 55 Ln 1479 55 1493 55 Ln 1510 55 1510 104 Ln 1512 55 1512 104 Ln 1512 79 1516 74 Ln 1516 74 1524 71 Ln 1524 71 1528 71 Ln 1528 71 1536 74 Ln 1536 74 1538 79 Ln 1538 79 1538 104 Ln 1528 71 1533 74 Ln 1533 74 1536 79 Ln 1536 79 1536 104 Ln 1503 55 1512 55 Ln 1503 104 1519 104 Ln 1528 104 1545 104 Ln 1564 55 1561 58 Ln 1561 58 1564 61 Ln 1564 61 1566 58 Ln 1566 58 1564 55 Ln 1564 71 1564 104 Ln 1566 71 1566 104 Ln 1556 71 1566 71 Ln 1556 104 1573 104 Ln 1591 55 1591 94 Ln 1591 94 1594 101 Ln 1594 101 1598 104 Ln 1598 104 1603 104 Ln 1603 104 1607 101 Ln 1607 101 1610 97 Ln 1594 55 1594 94 Ln 1594 94 1595 101 Ln 1595 101 1598 104 Ln 1584 71 1603 71 Ln 1627 86 1654 86 Ln 1654 86 1654 81 Ln 1654 81 1652 76 Ln 1652 76 1650 74 Ln 1650 74 1645 71 Ln 1645 71 1638 71 Ln 1638 71 1631 74 Ln 1631 74 1627 79 Ln 1627 79 1624 86 Ln 1624 86 1624 90 Ln 1624 90 1627 97 Ln 1627 97 1631 101 Ln 1631 101 1638 104 Ln 1638 104 1642 104 Ln 1642 104 1650 101 Ln 1650 101 1654 97 Ln 1652 86 1652 79 Ln 1652 79 1650 74 Ln 1638 71 1633 74 Ln 1633 74 1628 79 Ln 1628 79 1627 86 Ln 1627 86 1627 90 Ln 1627 90 1628 97 Ln 1628 97 1633 101 Ln 1633 101 1638 104 Ln 1715 55 1731 104 Ln 1717 55 1731 97 Ln 1747 55 1731 104 Ln 1710 55 1724 55 Ln 1738 55 1752 55 Ln 1778 71 1770 74 Ln 1770 74 1766 79 Ln 1766 79 1764 86 Ln 1764 86 1764 90 Ln 1764 90 1766 97 Ln 1766 97 1770 101 Ln 1770 101 1778 104 Ln 1778 104 1782 104 Ln 1782 104 1790 101 Ln 1790 101 1794 97 Ln 1794 97 1796 90 Ln 1796 90 1796 86 Ln 1796 86 1794 79 Ln 1794 79 1790 74 Ln 1790 74 1782 71 Ln 1782 71 1778 71 Ln 1778 71 1773 74 Ln 1773 74 1769 79 Ln 1769 79 1766 86 Ln 1766 86 1766 90 Ln 1766 90 1769 97 Ln 1769 97 1773 101 Ln 1773 101 1778 104 Ln 1782 104 1787 101 Ln 1787 101 1792 97 Ln 1792 97 1794 90 Ln 1794 90 1794 86 Ln 1794 86 1792 79 Ln 1792 79 1787 74 Ln 1787 74 1782 71 Ln 1818 55 1818 94 Ln 1818 94 1820 101 Ln 1820 101 1824 104 Ln 1824 104 1829 104 Ln 1829 104 1833 101 Ln 1833 101 1836 97 Ln 1820 55 1820 94 Ln 1820 94 1822 101 Ln 1822 101 1824 104 Ln 1810 71 1829 71 Ln 1853 86 1881 86 Ln 1881 86 1881 81 Ln 1881 81 1878 76 Ln 1878 76 1876 74 Ln 1876 74 1871 71 Ln 1871 71 1865 71 Ln 1865 71 1857 74 Ln 1857 74 1853 79 Ln 1853 79 1851 86 Ln 1851 86 1851 90 Ln 1851 90 1853 97 Ln 1853 97 1857 101 Ln 1857 101 1865 104 Ln 1865 104 1869 104 Ln 1869 104 1876 101 Ln 1876 101 1881 97 Ln 1878 86 1878 79 Ln 1878 79 1876 74 Ln 1865 71 1859 74 Ln 1859 74 1855 79 Ln 1855 79 1853 86 Ln 1853 86 1853 90 Ln 1853 90 1855 97 Ln 1855 97 1859 101 Ln 1859 101 1865 104 Ln 1901 71 1901 104 Ln 1904 71 1904 104 Ln 1904 86 1905 79 Ln 1905 79 1911 74 Ln 1911 74 1915 71 Ln 1915 71 1922 71 Ln 1922 71 1925 74 Ln 1925 74 1925 76 Ln 1925 76 1922 79 Ln 1922 79 1919 76 Ln 1919 76 1922 74 Ln 1894 71 1904 71 Ln 1894 104 1911 104 Ln 1987 55 1987 104 Ln 1990 55 1990 104 Ln 1980 55 2008 55 Ln 2008 55 2015 58 Ln 2015 58 2017 61 Ln 2017 61 2020 65 Ln 2020 65 2020 69 Ln 2020 69 2017 74 Ln 2017 74 2015 76 Ln 2015 76 2008 79 Ln 2008 79 1990 79 Ln 2008 55 2013 58 Ln 2013 58 2015 61 Ln 2015 61 2017 65 Ln 2017 65 2017 69 Ln 2017 69 2015 74 Ln 2015 74 2013 76 Ln 2013 76 2008 79 Ln 1980 104 1997 104 Ln 2001 79 2006 81 Ln 2006 81 2008 83 Ln 2008 83 2015 99 Ln 2015 99 2017 101 Ln 2017 101 2020 101 Ln 2020 101 2023 99 Ln 2006 81 2008 86 Ln 2008 86 2013 101 Ln 2013 101 2015 104 Ln 2015 104 2020 104 Ln 2020 104 2023 99 Ln 2023 99 2023 97 Ln 2039 86 2067 86 Ln 2067 86 2067 81 Ln 2067 81 2064 76 Ln 2064 76 2062 74 Ln 2062 74 2057 71 Ln 2057 71 2050 71 Ln 2050 71 2043 74 Ln 2043 74 2039 79 Ln 2039 79 2037 86 Ln 2037 86 2037 90 Ln 2037 90 2039 97 Ln 2039 97 2043 101 Ln 2043 101 2050 104 Ln 2050 104 2055 104 Ln 2055 104 2062 101 Ln 2062 101 2067 97 Ln 2064 86 2064 79 Ln 2064 79 2062 74 Ln 2050 71 2046 74 Ln 2046 74 2041 79 Ln 2041 79 2039 86 Ln 2039 86 2039 90 Ln 2039 90 2041 97 Ln 2041 97 2046 101 Ln 2046 101 2050 104 Ln 2094 71 2090 74 Ln 2090 74 2088 76 Ln 2088 76 2086 81 Ln 2086 81 2086 86 Ln 2086 86 2088 90 Ln 2088 90 2090 92 Ln 2090 92 2094 94 Ln 2094 94 2100 94 Ln 2100 94 2104 92 Ln 2104 92 2106 90 Ln 2106 90 2109 86 Ln 2109 86 2109 81 Ln 2109 81 2106 76 Ln 2106 76 2104 74 Ln 2104 74 2100 71 Ln 2100 71 2094 71 Ln 2090 74 2088 79 Ln 2088 79 2088 88 Ln 2088 88 2090 92 Ln 2104 92 2106 88 Ln 2106 88 2106 79 Ln 2106 79 2104 74 Ln 2106 76 2109 74 Ln 2109 74 2113 71 Ln 2113 71 2113 74 Ln 2113 74 2109 74 Ln 2088 90 2086 92 Ln 2086 92 2083 97 Ln 2083 97 2083 99 Ln 2083 99 2086 104 Ln 2086 104 2092 106 Ln 2092 106 2104 106 Ln 2104 106 2112 108 Ln 2112 108 2113 111 Ln 2083 99 2086 101 Ln 2086 101 2092 104 Ln 2092 104 2104 104 Ln 2104 104 2112 106 Ln 2112 106 2113 111 Ln 2113 111 2113 113 Ln 2113 113 2112 117 Ln 2112 117 2104 119 Ln 2104 119 2090 119 Ln 2090 119 2083 117 Ln 2083 117 2080 113 Ln 2080 113 2080 111 Ln 2080 111 2083 106 Ln 2083 106 2090 104 Ln 2135 55 2132 58 Ln 2132 58 2135 61 Ln 2135 61 2137 58 Ln 2137 58 2135 55 Ln 2135 71 2135 104 Ln 2137 71 2137 104 Ln 2127 71 2137 71 Ln 2127 104 2144 104 Ln 2181 76 2183 71 Ln 2183 71 2183 81 Ln 2183 81 2181 76 Ln 2181 76 2179 74 Ln 2179 74 2174 71 Ln 2174 71 2165 71 Ln 2165 71 2160 74 Ln 2160 74 2158 76 Ln 2158 76 2158 81 Ln 2158 81 2160 83 Ln 2160 83 2165 86 Ln 2165 86 2176 90 Ln 2176 90 2181 92 Ln 2181 92 2183 94 Ln 2158 79 2160 81 Ln 2160 81 2165 83 Ln 2165 83 2176 88 Ln 2176 88 2181 90 Ln 2181 90 2183 92 Ln 2183 92 2183 99 Ln 2183 99 2181 101 Ln 2181 101 2176 104 Ln 2176 104 2167 104 Ln 2167 104 2162 101 Ln 2162 101 2160 99 Ln 2160 99 2158 94 Ln 2158 94 2158 104 Ln 2158 104 2160 99 Ln 2204 55 2204 94 Ln 2204 94 2206 101 Ln 2206 101 2211 104 Ln 2211 104 2216 104 Ln 2216 104 2221 101 Ln 2221 101 2222 97 Ln 2206 55 2206 94 Ln 2206 94 2209 101 Ln 2209 101 2211 104 Ln 2197 71 2216 71 Ln 2242 71 2242 104 Ln 2244 71 2244 104 Ln 2244 86 2246 79 Ln 2246 79 2251 74 Ln 2251 74 2255 71 Ln 2255 71 2263 71 Ln 2263 71 2265 74 Ln 2265 74 2265 76 Ln 2265 76 2263 79 Ln 2263 79 2260 76 Ln 2260 76 2263 74 Ln 2234 71 2244 71 Ln 2234 104 2251 104 Ln 2284 76 2284 79 Ln 2284 79 2281 79 Ln 2281 79 2281 76 Ln 2281 76 2284 74 Ln 2284 74 2288 71 Ln 2288 71 2297 71 Ln 2297 71 2301 74 Ln 2301 74 2304 76 Ln 2304 76 2307 81 Ln 2307 81 2307 97 Ln 2307 97 2309 101 Ln 2309 101 2311 104 Ln 2304 76 2304 97 Ln 2304 97 2307 101 Ln 2307 101 2311 104 Ln 2311 104 2313 104 Ln 2304 81 2301 83 Ln 2301 83 2288 86 Ln 2288 86 2281 88 Ln 2281 88 2279 92 Ln 2279 92 2279 97 Ln 2279 97 2281 101 Ln 2281 101 2288 104 Ln 2288 104 2295 104 Ln 2295 104 2300 101 Ln 2300 101 2304 97 Ln 2288 86 2284 88 Ln 2284 88 2281 92 Ln 2281 92 2281 97 Ln 2281 97 2284 101 Ln 2284 101 2288 104 Ln 2333 55 2333 94 Ln 2333 94 2334 101 Ln 2334 101 2339 104 Ln 2339 104 2344 104 Ln 2344 104 2348 101 Ln 2348 101 2351 97 Ln 2334 55 2334 94 Ln 2334 94 2337 101 Ln 2337 101 2339 104 Ln 2325 71 2344 71 Ln 2370 55 2367 58 Ln 2367 58 2370 61 Ln 2370 61 2372 58 Ln 2372 58 2370 55 Ln 2370 71 2370 104 Ln 2372 71 2372 104 Ln 2363 71 2372 71 Ln 2363 104 2379 104 Ln 2407 71 2400 74 Ln 2400 74 2396 79 Ln 2396 79 2393 86 Ln 2393 86 2393 90 Ln 2393 90 2396 97 Ln 2396 97 2400 101 Ln 2400 101 2407 104 Ln 2407 104 2412 104 Ln 2412 104 2419 101 Ln 2419 101 2423 97 Ln 2423 97 2426 90 Ln 2426 90 2426 86 Ln 2426 86 2423 79 Ln 2423 79 2419 74 Ln 2419 74 2412 71 Ln 2412 71 2407 71 Ln 2407 71 2402 74 Ln 2402 74 2397 79 Ln 2397 79 2396 86 Ln 2396 86 2396 90 Ln 2396 90 2397 97 Ln 2397 97 2402 101 Ln 2402 101 2407 104 Ln 2412 104 2416 101 Ln 2416 101 2421 97 Ln 2421 97 2423 90 Ln 2423 90 2423 86 Ln 2423 86 2421 79 Ln 2421 79 2416 74 Ln 2416 74 2412 71 Ln 2447 71 2447 104 Ln 2449 71 2449 104 Ln 2449 79 2453 74 Ln 2453 74 2460 71 Ln 2460 71 2465 71 Ln 2465 71 2472 74 Ln 2472 74 2475 79 Ln 2475 79 2475 104 Ln 2465 71 2470 74 Ln 2470 74 2472 79 Ln 2472 79 2472 104 Ln 2439 71 2449 71 Ln 2439 104 2456 104 Ln 2465 104 2482 104 Ln 2973 927 2924 927 Ln 2973 929 2924 929 Ln 2960 943 2940 943 Ln 2973 920 2973 957 Ln 2973 957 2960 957 Ln 2960 957 2973 954 Ln 2950 929 2950 943 Ln 2924 920 2924 936 Ln 2973 975 2924 975 Ln 2973 977 2924 977 Ln 2973 967 2973 984 Ln 2924 967 2924 984 Ln 2966 1030 2960 1032 Ln 2960 1032 2973 1032 Ln 2973 1032 2966 1030 Ln 2966 1030 2971 1026 Ln 2971 1026 2973 1018 Ln 2973 1018 2973 1014 Ln 2973 1014 2971 1007 Ln 2971 1007 2966 1003 Ln 2966 1003 2961 1000 Ln 2961 1000 2954 999 Ln 2954 999 2942 999 Ln 2942 999 2936 1000 Ln 2936 1000 2931 1003 Ln 2931 1003 2927 1007 Ln 2927 1007 2924 1014 Ln 2924 1014 2924 1018 Ln 2924 1018 2927 1026 Ln 2927 1026 2931 1030 Ln 2973 1014 2971 1009 Ln 2971 1009 2966 1005 Ln 2966 1005 2961 1003 Ln 2961 1003 2954 1000 Ln 2954 1000 2942 1000 Ln 2942 1000 2936 1003 Ln 2936 1003 2931 1005 Ln 2931 1005 2927 1009 Ln 2927 1009 2924 1014 Ln 2942 1030 2924 1030 Ln 2942 1032 2924 1032 Ln 2942 1024 2942 1039 Ln 2973 1057 2938 1057 Ln 2938 1057 2931 1060 Ln 2931 1060 2927 1064 Ln 2927 1064 2924 1071 Ln 2924 1071 2924 1075 Ln 2924 1075 2927 1083 Ln 2927 1083 2931 1087 Ln 2931 1087 2938 1089 Ln 2938 1089 2973 1089 Ln 2973 1060 2938 1060 Ln 2938 1060 2931 1062 Ln 2931 1062 2927 1067 Ln 2927 1067 2924 1071 Ln 2973 1050 2973 1067 Ln 2973 1083 2973 1096 Ln 2973 1114 2924 1114 Ln 2973 1117 2924 1117 Ln 2973 1107 2973 1135 Ln 2973 1135 2971 1142 Ln 2971 1142 2968 1144 Ln 2968 1144 2964 1146 Ln 2964 1146 2960 1146 Ln 2960 1146 2954 1144 Ln 2954 1144 2952 1142 Ln 2952 1142 2950 1135 Ln 2950 1135 2950 1117 Ln 2973 1135 2971 1140 Ln 2971 1140 2968 1142 Ln 2968 1142 2964 1144 Ln 2964 1144 2960 1144 Ln 2960 1144 2954 1142 Ln 2954 1142 2952 1140 Ln 2952 1140 2950 1135 Ln 2924 1107 2924 1124 Ln 2950 1128 2948 1132 Ln 2948 1132 2945 1135 Ln 2945 1135 2928 1142 Ln 2928 1142 2927 1144 Ln 2927 1144 2927 1146 Ln 2927 1146 2928 1149 Ln 2948 1132 2942 1135 Ln 2942 1135 2927 1140 Ln 2927 1140 2924 1142 Ln 2924 1142 2924 1146 Ln 2924 1146 2928 1149 Ln 2928 1149 2931 1149 Ln 2973 1168 2924 1168 Ln 2973 1170 2924 1170 Ln 2960 1183 2940 1183 Ln 2973 1160 2973 1197 Ln 2973 1197 2960 1197 Ln 2960 1197 2973 1195 Ln 2950 1170 2950 1183 Ln 2924 1160 2924 1197 Ln 2924 1197 2938 1197 Ln 2938 1197 2924 1195 Ln 2964 1259 2961 1261 Ln 2961 1261 2960 1259 Ln 2960 1259 2961 1257 Ln 2961 1257 2964 1257 Ln 2964 1257 2968 1259 Ln 2968 1259 2971 1261 Ln 2971 1261 2973 1268 Ln 2973 1268 2973 1277 Ln 2973 1277 2971 1285 Ln 2971 1285 2966 1286 Ln 2966 1286 2960 1286 Ln 2960 1286 2954 1285 Ln 2954 1285 2952 1277 Ln 2952 1277 2952 1271 Ln 2973 1277 2971 1282 Ln 2971 1282 2966 1285 Ln 2966 1285 2960 1285 Ln 2960 1285 2954 1282 Ln 2954 1282 2952 1277 Ln 2952 1277 2950 1282 Ln 2950 1282 2945 1286 Ln 2945 1286 2940 1289 Ln 2940 1289 2934 1289 Ln 2934 1289 2928 1286 Ln 2928 1286 2927 1285 Ln 2927 1285 2924 1277 Ln 2924 1277 2924 1268 Ln 2924 1268 2927 1261 Ln 2927 1261 2928 1259 Ln 2928 1259 2934 1257 Ln 2934 1257 2936 1257 Ln 2936 1257 2938 1259 Ln 2938 1259 2936 1261 Ln 2936 1261 2934 1259 Ln 2948 1285 2940 1286 Ln 2940 1286 2934 1286 Ln 2934 1286 2928 1285 Ln 2928 1285 2927 1282 Ln 2927 1282 2924 1277 Ln 2957 1310 2954 1307 Ln 2954 1307 2952 1310 Ln 2952 1310 2954 1312 Ln 2954 1312 2957 1310 Ln 2928 1310 2927 1307 Ln 2927 1307 2924 1310 Ln 2924 1310 2927 1312 Ln 2927 1312 2928 1310 Ln 2869 172 2820 172 Ln 2869 173 2820 173 Ln 2869 164 2869 192 Ln 2869 192 2867 199 Ln 2867 199 2864 201 Ln 2864 201 2859 203 Ln 2859 203 2853 203 Ln 2853 203 2848 201 Ln 2848 201 2846 199 Ln 2846 199 2843 192 Ln 2843 192 2843 173 Ln 2869 192 2867 197 Ln 2867 197 2864 199 Ln 2864 199 2859 201 Ln 2859 201 2853 201 Ln 2853 201 2848 199 Ln 2848 199 2846 197 Ln 2846 197 2843 192 Ln 2820 164 2820 181 Ln 2853 224 2820 224 Ln 2853 226 2820 226 Ln 2838 226 2846 229 Ln 2846 229 2850 233 Ln 2850 233 2853 238 Ln 2853 238 2853 245 Ln 2853 245 2850 247 Ln 2850 247 2848 247 Ln 2848 247 2846 245 Ln 2846 245 2848 242 Ln 2848 242 2850 245 Ln 2853 217 2853 226 Ln 2820 217 2820 233 Ln 2838 263 2838 290 Ln 2838 290 2843 290 Ln 2843 290 2848 288 Ln 2848 288 2850 286 Ln 2850 286 2853 281 Ln 2853 281 2853 274 Ln 2853 274 2850 267 Ln 2850 267 2846 263 Ln 2846 263 2838 260 Ln 2838 260 2834 260 Ln 2834 260 2828 263 Ln 2828 263 2822 267 Ln 2822 267 2820 274 Ln 2820 274 2820 278 Ln 2820 278 2822 286 Ln 2822 286 2828 290 Ln 2838 288 2846 288 Ln 2846 288 2850 286 Ln 2853 274 2850 269 Ln 2850 269 2846 265 Ln 2846 265 2838 263 Ln 2838 263 2834 263 Ln 2834 263 2828 265 Ln 2828 265 2822 269 Ln 2822 269 2820 274 Ln 2869 334 2820 334 Ln 2869 337 2820 337 Ln 2846 334 2850 329 Ln 2850 329 2853 325 Ln 2853 325 2853 320 Ln 2853 320 2850 313 Ln 2850 313 2846 309 Ln 2846 309 2838 307 Ln 2838 307 2834 307 Ln 2834 307 2828 309 Ln 2828 309 2822 313 Ln 2822 313 2820 320 Ln 2820 320 2820 325 Ln 2820 325 2822 329 Ln 2822 329 2828 334 Ln 2853 320 2850 316 Ln 2850 316 2846 311 Ln 2846 311 2838 309 Ln 2838 309 2834 309 Ln 2834 309 2828 311 Ln 2828 311 2822 316 Ln 2822 316 2820 320 Ln 2869 327 2869 337 Ln 2820 334 2820 343 Ln 2869 362 2867 359 Ln 2867 359 2864 362 Ln 2864 362 2867 364 Ln 2867 364 2869 362 Ln 2853 362 2820 362 Ln 2853 364 2820 364 Ln 2853 355 2853 364 Ln 2820 355 2820 371 Ln 2846 412 2843 410 Ln 2843 410 2841 412 Ln 2841 412 2843 414 Ln 2843 414 2846 414 Ln 2846 414 2850 410 Ln 2850 410 2853 405 Ln 2853 405 2853 398 Ln 2853 398 2850 391 Ln 2850 391 2846 387 Ln 2846 387 2838 385 Ln 2838 385 2834 385 Ln 2834 385 2828 387 Ln 2828 387 2822 391 Ln 2822 391 2820 398 Ln 2820 398 2820 403 Ln 2820 403 2822 410 Ln 2822 410 2828 414 Ln 2853 398 2850 393 Ln 2850 393 2846 389 Ln 2846 389 2838 387 Ln 2838 387 2834 387 Ln 2834 387 2828 389 Ln 2828 389 2822 393 Ln 2822 393 2820 398 Ln 2869 435 2829 435 Ln 2829 435 2822 437 Ln 2822 437 2820 442 Ln 2820 442 2820 446 Ln 2820 446 2822 451 Ln 2822 451 2828 453 Ln 2869 437 2829 437 Ln 2829 437 2822 439 Ln 2822 439 2820 442 Ln 2853 428 2853 446 Ln 2869 472 2867 470 Ln 2867 470 2864 472 Ln 2864 472 2867 474 Ln 2867 474 2869 472 Ln 2853 472 2820 472 Ln 2853 474 2820 474 Ln 2853 464 2853 474 Ln 2820 464 2820 481 Ln 2853 499 2820 499 Ln 2853 501 2820 501 Ln 2846 501 2850 506 Ln 2850 506 2853 513 Ln 2853 513 2853 517 Ln 2853 517 2850 524 Ln 2850 524 2846 527 Ln 2846 527 2820 527 Ln 2853 517 2850 522 Ln 2850 522 2846 524 Ln 2846 524 2820 524 Ln 2853 492 2853 501 Ln 2820 492 2820 509 Ln 2820 517 2820 534 Ln 2853 558 2850 554 Ln 2850 554 2848 552 Ln 2848 552 2843 549 Ln 2843 549 2838 549 Ln 2838 549 2834 552 Ln 2834 552 2832 554 Ln 2832 554 2829 558 Ln 2829 558 2829 563 Ln 2829 563 2832 567 Ln 2832 567 2834 570 Ln 2834 570 2838 573 Ln 2838 573 2843 573 Ln 2843 573 2848 570 Ln 2848 570 2850 567 Ln 2850 567 2853 563 Ln 2853 563 2853 558 Ln 2850 554 2846 552 Ln 2846 552 2836 552 Ln 2836 552 2832 554 Ln 2832 567 2836 570 Ln 2836 570 2846 570 Ln 2846 570 2850 567 Ln 2848 570 2850 573 Ln 2850 573 2853 577 Ln 2853 577 2850 577 Ln 2850 577 2850 573 Ln 2834 552 2832 549 Ln 2832 549 2828 548 Ln 2828 548 2825 548 Ln 2825 548 2820 549 Ln 2820 549 2819 556 Ln 2819 556 2819 567 Ln 2819 567 2816 575 Ln 2816 575 2813 577 Ln 2825 548 2822 549 Ln 2822 549 2820 556 Ln 2820 556 2820 567 Ln 2820 567 2819 575 Ln 2819 575 2813 577 Ln 2813 577 2812 577 Ln 2812 577 2807 575 Ln 2807 575 2805 567 Ln 2805 567 2805 554 Ln 2805 554 2807 548 Ln 2807 548 2812 545 Ln 2812 545 2813 545 Ln 2813 545 2819 548 Ln 2819 548 2820 554 Ln 2869 641 2820 641 Ln 2869 643 2820 643 Ln 2869 634 2869 662 Ln 2869 662 2867 668 Ln 2867 668 2864 671 Ln 2864 671 2859 673 Ln 2859 673 2853 673 Ln 2853 673 2848 671 Ln 2848 671 2846 668 Ln 2846 668 2843 662 Ln 2843 662 2843 643 Ln 2869 662 2867 666 Ln 2867 666 2864 668 Ln 2864 668 2859 671 Ln 2859 671 2853 671 Ln 2853 671 2848 668 Ln 2848 668 2846 666 Ln 2846 666 2843 662 Ln 2820 634 2820 650 Ln 2848 693 2846 693 Ln 2846 693 2846 692 Ln 2846 692 2848 692 Ln 2848 692 2850 693 Ln 2850 693 2853 698 Ln 2853 698 2853 707 Ln 2853 707 2850 711 Ln 2850 711 2848 714 Ln 2848 714 2843 717 Ln 2843 717 2828 717 Ln 2828 717 2822 719 Ln 2822 719 2820 721 Ln 2848 714 2828 714 Ln 2828 714 2822 717 Ln 2822 717 2820 721 Ln 2820 721 2820 723 Ln 2843 714 2841 711 Ln 2841 711 2838 698 Ln 2838 698 2836 692 Ln 2836 692 2832 689 Ln 2832 689 2828 689 Ln 2828 689 2822 692 Ln 2822 692 2820 698 Ln 2820 698 2820 705 Ln 2820 705 2822 710 Ln 2822 710 2828 714 Ln 2838 698 2836 693 Ln 2836 693 2832 692 Ln 2832 692 2828 692 Ln 2828 692 2822 693 Ln 2822 693 2820 698 Ln 2853 742 2820 742 Ln 2853 744 2820 744 Ln 2838 744 2846 746 Ln 2846 746 2850 751 Ln 2850 751 2853 756 Ln 2853 756 2853 763 Ln 2853 763 2850 765 Ln 2850 765 2848 765 Ln 2848 765 2846 763 Ln 2846 763 2848 760 Ln 2848 760 2850 763 Ln 2853 735 2853 744 Ln 2820 735 2820 751 Ln 2869 783 2867 781 Ln 2867 781 2864 783 Ln 2864 783 2867 785 Ln 2867 785 2869 783 Ln 2853 783 2820 783 Ln 2853 785 2820 785 Ln 2853 776 2853 785 Ln 2820 776 2820 792 Ln 2848 829 2853 832 Ln 2853 832 2843 832 Ln 2843 832 2848 829 Ln 2848 829 2850 827 Ln 2850 827 2853 823 Ln 2853 823 2853 813 Ln 2853 813 2850 809 Ln 2850 809 2848 807 Ln 2848 807 2843 807 Ln 2843 807 2841 809 Ln 2841 809 2838 813 Ln 2838 813 2834 825 Ln 2834 825 2832 829 Ln 2832 829 2829 832 Ln 2846 807 2843 809 Ln 2843 809 2841 813 Ln 2841 813 2836 825 Ln 2836 825 2834 829 Ln 2834 829 2832 832 Ln 2832 832 2825 832 Ln 2825 832 2822 829 Ln 2822 829 2820 825 Ln 2820 825 2820 816 Ln 2820 816 2822 811 Ln 2822 811 2825 809 Ln 2825 809 2829 807 Ln 2829 807 2820 807 Ln 2820 807 2825 809 Ln 2869 852 2820 852 Ln 2869 854 2820 854 Ln 2846 854 2850 859 Ln 2850 859 2853 866 Ln 2853 866 2853 870 Ln 2853 870 2850 877 Ln 2850 877 2846 879 Ln 2846 879 2820 879 Ln 2853 870 2850 875 Ln 2850 875 2846 877 Ln 2846 877 2820 877 Ln 2869 845 2869 854 Ln 2820 845 2820 861 Ln 2820 870 2820 886 Ln 2869 949 2820 949 Ln 2869 951 2820 951 Ln 2869 942 2869 970 Ln 2869 970 2867 976 Ln 2867 976 2864 978 Ln 2864 978 2859 981 Ln 2859 981 2855 981 Ln 2855 981 2850 978 Ln 2850 978 2848 976 Ln 2848 976 2846 970 Ln 2846 970 2846 951 Ln 2869 970 2867 974 Ln 2867 974 2864 976 Ln 2864 976 2859 978 Ln 2859 978 2855 978 Ln 2855 978 2850 976 Ln 2850 976 2848 974 Ln 2848 974 2846 970 Ln 2820 942 2820 958 Ln 2846 963 2843 967 Ln 2843 967 2841 970 Ln 2841 970 2825 976 Ln 2825 976 2822 978 Ln 2822 978 2822 981 Ln 2822 981 2825 984 Ln 2843 967 2838 970 Ln 2838 970 2822 974 Ln 2822 974 2820 976 Ln 2820 976 2820 981 Ln 2820 981 2825 984 Ln 2825 984 2828 984 Ln 2838 999 2838 1027 Ln 2838 1027 2843 1027 Ln 2843 1027 2848 1024 Ln 2848 1024 2850 1022 Ln 2850 1022 2853 1017 Ln 2853 1017 2853 1011 Ln 2853 1011 2850 1003 Ln 2850 1003 2846 999 Ln 2846 999 2838 997 Ln 2838 997 2834 997 Ln 2834 997 2828 999 Ln 2828 999 2822 1003 Ln 2822 1003 2820 1011 Ln 2820 1011 2820 1015 Ln 2820 1015 2822 1022 Ln 2822 1022 2828 1027 Ln 2838 1024 2846 1024 Ln 2846 1024 2850 1022 Ln 2853 1011 2850 1006 Ln 2850 1006 2846 1002 Ln 2846 1002 2838 999 Ln 2838 999 2834 999 Ln 2834 999 2828 1002 Ln 2828 1002 2822 1006 Ln 2822 1006 2820 1011 Ln 2853 1053 2850 1049 Ln 2850 1049 2848 1047 Ln 2848 1047 2843 1045 Ln 2843 1045 2838 1045 Ln 2838 1045 2834 1047 Ln 2834 1047 2832 1049 Ln 2832 1049 2829 1053 Ln 2829 1053 2829 1058 Ln 2829 1058 2832 1063 Ln 2832 1063 2834 1065 Ln 2834 1065 2838 1068 Ln 2838 1068 2843 1068 Ln 2843 1068 2848 1065 Ln 2848 1065 2850 1063 Ln 2850 1063 2853 1058 Ln 2853 1058 2853 1053 Ln 2850 1049 2846 1047 Ln 2846 1047 2836 1047 Ln 2836 1047 2832 1049 Ln 2832 1063 2836 1065 Ln 2836 1065 2846 1065 Ln 2846 1065 2850 1063 Ln 2848 1065 2850 1068 Ln 2850 1068 2853 1072 Ln 2853 1072 2850 1072 Ln 2850 1072 2850 1068 Ln 2834 1047 2832 1045 Ln 2832 1045 2828 1042 Ln 2828 1042 2825 1042 Ln 2825 1042 2820 1045 Ln 2820 1045 2819 1051 Ln 2819 1051 2819 1063 Ln 2819 1063 2816 1070 Ln 2816 1070 2813 1072 Ln 2825 1042 2822 1045 Ln 2822 1045 2820 1051 Ln 2820 1051 2820 1063 Ln 2820 1063 2819 1070 Ln 2819 1070 2813 1072 Ln 2813 1072 2812 1072 Ln 2812 1072 2807 1070 Ln 2807 1070 2805 1063 Ln 2805 1063 2805 1049 Ln 2805 1049 2807 1042 Ln 2807 1042 2812 1039 Ln 2812 1039 2813 1039 Ln 2813 1039 2819 1042 Ln 2819 1042 2820 1049 Ln 2869 1093 2867 1090 Ln 2867 1090 2864 1093 Ln 2864 1093 2867 1095 Ln 2867 1095 2869 1093 Ln 2853 1093 2820 1093 Ln 2853 1095 2820 1095 Ln 2853 1086 2853 1095 Ln 2820 1086 2820 1102 Ln 2848 1138 2853 1141 Ln 2853 1141 2843 1141 Ln 2843 1141 2848 1138 Ln 2848 1138 2850 1136 Ln 2850 1136 2853 1132 Ln 2853 1132 2853 1122 Ln 2853 1122 2850 1118 Ln 2850 1118 2848 1116 Ln 2848 1116 2843 1116 Ln 2843 1116 2841 1118 Ln 2841 1118 2838 1122 Ln 2838 1122 2834 1134 Ln 2834 1134 2832 1138 Ln 2832 1138 2829 1141 Ln 2846 1116 2843 1118 Ln 2843 1118 2841 1122 Ln 2841 1122 2836 1134 Ln 2836 1134 2834 1138 Ln 2834 1138 2832 1141 Ln 2832 1141 2825 1141 Ln 2825 1141 2822 1138 Ln 2822 1138 2820 1134 Ln 2820 1134 2820 1124 Ln 2820 1124 2822 1120 Ln 2822 1120 2825 1118 Ln 2825 1118 2829 1116 Ln 2829 1116 2820 1116 Ln 2820 1116 2825 1118 Ln 2869 1162 2829 1162 Ln 2829 1162 2822 1164 Ln 2822 1164 2820 1168 Ln 2820 1168 2820 1174 Ln 2820 1174 2822 1178 Ln 2822 1178 2828 1180 Ln 2869 1164 2829 1164 Ln 2829 1164 2822 1166 Ln 2822 1166 2820 1168 Ln 2853 1155 2853 1174 Ln 2853 1198 2820 1198 Ln 2853 1200 2820 1200 Ln 2838 1200 2846 1202 Ln 2846 1202 2850 1207 Ln 2850 1207 2853 1211 Ln 2853 1211 2853 1219 Ln 2853 1219 2850 1221 Ln 2850 1221 2848 1221 Ln 2848 1221 2846 1219 Ln 2846 1219 2848 1216 Ln 2848 1216 2850 1219 Ln 2853 1191 2853 1200 Ln 2820 1191 2820 1207 Ln 2848 1240 2846 1240 Ln 2846 1240 2846 1238 Ln 2846 1238 2848 1238 Ln 2848 1238 2850 1240 Ln 2850 1240 2853 1244 Ln 2853 1244 2853 1253 Ln 2853 1253 2850 1258 Ln 2850 1258 2848 1261 Ln 2848 1261 2843 1262 Ln 2843 1262 2828 1262 Ln 2828 1262 2822 1265 Ln 2822 1265 2820 1267 Ln 2848 1261 2828 1261 Ln 2828 1261 2822 1262 Ln 2822 1262 2820 1267 Ln 2820 1267 2820 1269 Ln 2843 1261 2841 1258 Ln 2841 1258 2838 1244 Ln 2838 1244 2836 1238 Ln 2836 1238 2832 1235 Ln 2832 1235 2828 1235 Ln 2828 1235 2822 1238 Ln 2822 1238 2820 1244 Ln 2820 1244 2820 1251 Ln 2820 1251 2822 1256 Ln 2822 1256 2828 1261 Ln 2838 1244 2836 1240 Ln 2836 1240 2832 1238 Ln 2832 1238 2828 1238 Ln 2828 1238 2822 1240 Ln 2822 1240 2820 1244 Ln 2869 1288 2829 1288 Ln 2829 1288 2822 1290 Ln 2822 1290 2820 1294 Ln 2820 1294 2820 1300 Ln 2820 1300 2822 1304 Ln 2822 1304 2828 1306 Ln 2869 1290 2829 1290 Ln 2829 1290 2822 1292 Ln 2822 1292 2820 1294 Ln 2853 1281 2853 1300 Ln 2869 1324 2867 1322 Ln 2867 1322 2864 1324 Ln 2864 1324 2867 1326 Ln 2867 1326 2869 1324 Ln 2853 1324 2820 1324 Ln 2853 1326 2820 1326 Ln 2853 1317 2853 1326 Ln 2820 1317 2820 1333 Ln 2853 1361 2850 1354 Ln 2850 1354 2846 1350 Ln 2846 1350 2838 1348 Ln 2838 1348 2834 1348 Ln 2834 1348 2828 1350 Ln 2828 1350 2822 1354 Ln 2822 1354 2820 1361 Ln 2820 1361 2820 1366 Ln 2820 1366 2822 1373 Ln 2822 1373 2828 1378 Ln 2828 1378 2834 1379 Ln 2834 1379 2838 1379 Ln 2838 1379 2846 1378 Ln 2846 1378 2850 1373 Ln 2850 1373 2853 1366 Ln 2853 1366 2853 1361 Ln 2853 1361 2850 1357 Ln 2850 1357 2846 1352 Ln 2846 1352 2838 1350 Ln 2838 1350 2834 1350 Ln 2834 1350 2828 1352 Ln 2828 1352 2822 1357 Ln 2822 1357 2820 1361 Ln 2820 1366 2822 1370 Ln 2822 1370 2828 1375 Ln 2828 1375 2834 1378 Ln 2834 1378 2838 1378 Ln 2838 1378 2846 1375 Ln 2846 1375 2850 1370 Ln 2850 1370 2853 1366 Ln 2853 1400 2820 1400 Ln 2853 1402 2820 1402 Ln 2846 1402 2850 1406 Ln 2850 1406 2853 1413 Ln 2853 1413 2853 1418 Ln 2853 1418 2850 1425 Ln 2850 1425 2846 1427 Ln 2846 1427 2820 1427 Ln 2853 1418 2850 1423 Ln 2850 1423 2846 1425 Ln 2846 1425 2820 1425 Ln 2853 1393 2853 1402 Ln 2820 1393 2820 1409 Ln 2820 1418 2820 1434 Ln 2853 1494 2820 1503 Ln 2853 1496 2828 1503 Ln 2853 1512 2820 1503 Ln 2853 1512 2820 1521 Ln 2853 1514 2828 1521 Ln 2853 1531 2820 1521 Ln 2853 1487 2853 1503 Ln 2853 1523 2853 1537 Ln 2869 1554 2867 1551 Ln 2867 1551 2864 1554 Ln 2864 1554 2867 1556 Ln 2867 1556 2869 1554 Ln 2853 1554 2820 1554 Ln 2853 1556 2820 1556 Ln 2853 1547 2853 1556 Ln 2820 1547 2820 1563 Ln 2869 1581 2829 1581 Ln 2829 1581 2822 1583 Ln 2822 1583 2820 1587 Ln 2820 1587 2820 1593 Ln 2820 1593 2822 1597 Ln 2822 1597 2828 1599 Ln 2869 1583 2829 1583 Ln 2829 1583 2822 1586 Ln 2822 1586 2820 1587 Ln 2853 1574 2853 1593 Ln 2869 1618 2820 1618 Ln 2869 1620 2820 1620 Ln 2846 1620 2850 1625 Ln 2850 1625 2853 1632 Ln 2853 1632 2853 1636 Ln 2853 1636 2850 1643 Ln 2850 1643 2846 1646 Ln 2846 1646 2820 1646 Ln 2853 1636 2850 1641 Ln 2850 1641 2846 1643 Ln 2846 1643 2820 1643 Ln 2869 1611 2869 1620 Ln 2820 1611 2820 1627 Ln 2820 1636 2820 1652 Ln 2869 1714 2820 1714 Ln 2869 1716 2820 1716 Ln 2869 1707 2869 1734 Ln 2869 1734 2867 1741 Ln 2867 1741 2864 1743 Ln 2864 1743 2859 1745 Ln 2859 1745 2853 1745 Ln 2853 1745 2848 1743 Ln 2848 1743 2846 1741 Ln 2846 1741 2843 1734 Ln 2843 1734 2843 1716 Ln 2869 1734 2867 1739 Ln 2867 1739 2864 1741 Ln 2864 1741 2859 1743 Ln 2859 1743 2853 1743 Ln 2853 1743 2848 1741 Ln 2848 1741 2846 1739 Ln 2846 1739 2843 1734 Ln 2820 1707 2820 1723 Ln 2853 1776 2850 1769 Ln 2850 1769 2846 1765 Ln 2846 1765 2838 1763 Ln 2838 1763 2834 1763 Ln 2834 1763 2828 1765 Ln 2828 1765 2822 1769 Ln 2822 1769 2820 1776 Ln 2820 1776 2820 1781 Ln 2820 1781 2822 1788 Ln 2822 1788 2828 1792 Ln 2828 1792 2834 1794 Ln 2834 1794 2838 1794 Ln 2838 1794 2846 1792 Ln 2846 1792 2850 1788 Ln 2850 1788 2853 1781 Ln 2853 1781 2853 1776 Ln 2853 1776 2850 1771 Ln 2850 1771 2846 1767 Ln 2846 1767 2838 1765 Ln 2838 1765 2834 1765 Ln 2834 1765 2828 1767 Ln 2828 1767 2822 1771 Ln 2822 1771 2820 1776 Ln 2820 1781 2822 1785 Ln 2822 1785 2828 1790 Ln 2828 1790 2834 1792 Ln 2834 1792 2838 1792 Ln 2838 1792 2846 1790 Ln 2846 1790 2850 1785 Ln 2850 1785 2853 1781 Ln 2853 1824 2850 1817 Ln 2850 1817 2846 1812 Ln 2846 1812 2838 1810 Ln 2838 1810 2834 1810 Ln 2834 1810 2828 1812 Ln 2828 1812 2822 1817 Ln 2822 1817 2820 1824 Ln 2820 1824 2820 1828 Ln 2820 1828 2822 1836 Ln 2822 1836 2828 1840 Ln 2828 1840 2834 1842 Ln 2834 1842 2838 1842 Ln 2838 1842 2846 1840 Ln 2846 1840 2850 1836 Ln 2850 1836 2853 1828 Ln 2853 1828 2853 1824 Ln 2853 1824 2850 1819 Ln 2850 1819 2846 1815 Ln 2846 1815 2838 1812 Ln 2838 1812 2834 1812 Ln 2834 1812 2828 1815 Ln 2828 1815 2822 1819 Ln 2822 1819 2820 1824 Ln 2820 1828 2822 1833 Ln 2822 1833 2828 1838 Ln 2828 1838 2834 1840 Ln 2834 1840 2838 1840 Ln 2838 1840 2846 1838 Ln 2846 1838 2850 1833 Ln 2850 1833 2853 1828 Ln 2853 1863 2820 1863 Ln 2853 1865 2820 1865 Ln 2838 1865 2846 1867 Ln 2846 1867 2850 1872 Ln 2850 1872 2853 1876 Ln 2853 1876 2853 1884 Ln 2853 1884 2850 1886 Ln 2850 1886 2848 1886 Ln 2848 1886 2846 1884 Ln 2846 1884 2848 1881 Ln 2848 1881 2850 1884 Ln 2853 1855 2853 1865 Ln 2820 1855 2820 1872 Ln 2869 1948 2820 1948 Ln 2869 1950 2820 1950 Ln 2869 1941 2869 1963 Ln 2869 1963 2867 1971 Ln 2867 1971 2862 1975 Ln 2862 1975 2858 1977 Ln 2858 1977 2850 1980 Ln 2850 1980 2838 1980 Ln 2838 1980 2832 1977 Ln 2832 1977 2828 1975 Ln 2828 1975 2822 1971 Ln 2822 1971 2820 1963 Ln 2820 1963 2820 1941 Ln 2869 1963 2867 1969 Ln 2867 1969 2862 1973 Ln 2862 1973 2858 1975 Ln 2858 1975 2850 1977 Ln 2850 1977 2838 1977 Ln 2838 1977 2832 1975 Ln 2832 1975 2828 1973 Ln 2828 1973 2822 1969 Ln 2822 1969 2820 1963 Ln 2848 2001 2846 2001 Ln 2846 2001 2846 1998 Ln 2846 1998 2848 1998 Ln 2848 1998 2850 2001 Ln 2850 2001 2853 2005 Ln 2853 2005 2853 2014 Ln 2853 2014 2850 2019 Ln 2850 2019 2848 2022 Ln 2848 2022 2843 2023 Ln 2843 2023 2828 2023 Ln 2828 2023 2822 2026 Ln 2822 2026 2820 2028 Ln 2848 2022 2828 2022 Ln 2828 2022 2822 2023 Ln 2822 2023 2820 2028 Ln 2820 2028 2820 2030 Ln 2843 2022 2841 2019 Ln 2841 2019 2838 2005 Ln 2838 2005 2836 1998 Ln 2836 1998 2832 1996 Ln 2832 1996 2828 1996 Ln 2828 1996 2822 1998 Ln 2822 1998 2820 2005 Ln 2820 2005 2820 2012 Ln 2820 2012 2822 2016 Ln 2822 2016 2828 2022 Ln 2838 2005 2836 2001 Ln 2836 2001 2832 1998 Ln 2832 1998 2828 1998 Ln 2828 1998 2822 2001 Ln 2822 2001 2820 2005 Ln 2869 2049 2829 2049 Ln 2829 2049 2822 2051 Ln 2822 2051 2820 2055 Ln 2820 2055 2820 2060 Ln 2820 2060 2822 2065 Ln 2822 2065 2828 2067 Ln 2869 2051 2829 2051 Ln 2829 2051 2822 2053 Ln 2822 2053 2820 2055 Ln 2853 2041 2853 2060 Ln 2848 2086 2846 2086 Ln 2846 2086 2846 2083 Ln 2846 2083 2848 2083 Ln 2848 2083 2850 2086 Ln 2850 2086 2853 2090 Ln 2853 2090 2853 2099 Ln 2853 2099 2850 2104 Ln 2850 2104 2848 2106 Ln 2848 2106 2843 2109 Ln 2843 2109 2828 2109 Ln 2828 2109 2822 2110 Ln 2822 2110 2820 2113 Ln 2848 2106 2828 2106 Ln 2828 2106 2822 2109 Ln 2822 2109 2820 2113 Ln 2820 2113 2820 2115 Ln 2843 2106 2841 2104 Ln 2841 2104 2838 2090 Ln 2838 2090 2836 2083 Ln 2836 2083 2832 2081 Ln 2832 2081 2828 2081 Ln 2828 2081 2822 2083 Ln 2822 2083 2820 2090 Ln 2820 2090 2820 2097 Ln 2820 2097 2822 2101 Ln 2822 2101 2828 2106 Ln 2838 2090 2836 2086 Ln 2836 2086 2832 2083 Ln 2832 2083 2828 2083 Ln 2828 2083 2822 2086 Ln 2822 2086 2820 2090 Ln 1 SLW 2541 1818 2545 1819 Ln 2545 1819 2550 1822 Ln 2550 1822 2553 1825 Ln 2553 1825 2556 1829 Ln 2556 1829 2556 1833 Ln 2556 1833 2556 1838 Ln 2556 1838 2553 1842 Ln 2553 1842 2550 1845 Ln 2550 1845 2545 1848 Ln 2545 1848 2541 1848 Ln 2541 1848 2536 1848 Ln 2536 1848 2532 1845 Ln 2532 1845 2529 1842 Ln 2529 1842 2526 1838 Ln 2526 1838 2526 1833 Ln 2526 1833 2526 1829 Ln 2526 1829 2529 1825 Ln 2529 1825 2532 1822 Ln 2532 1822 2536 1819 Ln 2536 1819 2541 1818 Ln 2541 1833 2541 1834 Ln 2530 1816 2532 1817 Ln 2532 1817 2533 1818 Ln 2533 1818 2535 1819 Ln 2535 1819 2535 1820 Ln 2535 1820 2536 1822 Ln 2536 1822 2535 1823 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Ln 2351 1675 2354 1672 Ln 2354 1672 2358 1670 Ln 2358 1670 2363 1669 Ln 2363 1683 2363 1684 Ln 2437 1695 2442 1696 Ln 2442 1696 2448 1698 Ln 2448 1698 2452 1702 Ln 2452 1702 2455 1708 Ln 2455 1708 2456 1713 Ln 2456 1713 2455 1718 Ln 2455 1718 2452 1724 Ln 2452 1724 2448 1727 Ln 2448 1727 2442 1730 Ln 2442 1730 2437 1731 Ln 2437 1731 2432 1730 Ln 2432 1730 2426 1727 Ln 2426 1727 2423 1724 Ln 2423 1724 2420 1718 Ln 2420 1718 2419 1713 Ln 2419 1713 2420 1708 Ln 2420 1708 2423 1702 Ln 2423 1702 2426 1698 Ln 2426 1698 2432 1696 Ln 2432 1696 2437 1695 Ln 2437 1713 2437 1714 Ln 2412 1650 2417 1651 Ln 2417 1651 2422 1654 Ln 2422 1654 2426 1658 Ln 2426 1658 2429 1662 Ln 2429 1662 2429 1667 Ln 2429 1667 2429 1671 Ln 2429 1671 2426 1676 Ln 2426 1676 2422 1680 Ln 2422 1680 2417 1683 Ln 2417 1683 2412 1683 Ln 2412 1683 2408 1683 Ln 2408 1683 2403 1680 Ln 2403 1680 2399 1676 Ln 2399 1676 2396 1671 Ln 2396 1671 2396 1667 Ln 2396 1667 2396 1662 Ln 2396 1662 2399 1658 Ln 2399 1658 2403 1654 Ln 2403 1654 2408 1651 Ln 2408 1651 2412 1650 Ln 2412 1667 2412 1668 Ln 2601 1727 15 Pix 2601 1727 2602 1727 Ln 2602 1727 15 Pix 2602 1727 2602 1728 Ln 2602 1728 15 Pix 2602 1728 2602 1729 Ln 2602 1729 15 Pix 2602 1729 2601 1730 Ln 2601 1730 15 Pix 2601 1730 2601 1729 Ln 2601 1729 15 Pix 2601 1729 2600 1728 Ln 2600 1728 15 Pix 2600 1728 2601 1727 Ln 2601 1727 15 Pix 2601 1727 2601 1727 Ln 2601 1727 15 Pix 2601 1728 2601 1729 Ln 2143 1388 2149 1389 Ln 2149 1389 2156 1393 Ln 2156 1393 2160 1397 Ln 2160 1397 2164 1403 Ln 2164 1403 2165 1409 Ln 2165 1409 2164 1415 Ln 2164 1415 2160 1421 Ln 2160 1421 2156 1426 Ln 2156 1426 2149 1429 Ln 2149 1429 2143 1430 Ln 2143 1430 2138 1429 Ln 2138 1429 2131 1426 Ln 2131 1426 2126 1421 Ln 2126 1421 2123 1415 Ln 2123 1415 2122 1409 Ln 2122 1409 2123 1403 Ln 2123 1403 2126 1397 Ln 2126 1397 2131 1393 Ln 2131 1393 2138 1389 Ln 2138 1389 2143 1388 Ln 2143 1409 2143 1410 Ln 2564 1720 2565 1721 Ln 2565 1721 2567 1722 Ln 2567 1722 2568 1722 Ln 2568 1722 2568 1724 Ln 2568 1724 2569 1725 Ln 2569 1725 2568 1727 Ln 2568 1727 2568 1728 Ln 2568 1728 2567 1729 Ln 2567 1729 2565 1730 Ln 2565 1730 2564 1730 Ln 2564 1730 2562 1730 Ln 2562 1730 2561 1729 Ln 2561 1729 2560 1728 Ln 2560 1728 2559 1727 Ln 2559 1727 2559 1725 Ln 2559 1725 2559 1724 Ln 2559 1724 2560 1722 Ln 2560 1722 2561 1722 Ln 2561 1722 2562 1721 Ln 2562 1721 2564 1720 Ln 2564 1725 2564 1726 Ln 2529 1822 2533 1823 Ln 2533 1823 2538 1825 Ln 2538 1825 2541 1828 Ln 2541 1828 2542 1833 Ln 2542 1833 2543 1836 Ln 2543 1836 2542 1840 Ln 2542 1840 2541 1844 Ln 2541 1844 2538 1847 Ln 2538 1847 2533 1849 Ln 2533 1849 2529 1850 Ln 2529 1850 2526 1849 Ln 2526 1849 2521 1847 Ln 2521 1847 2518 1844 Ln 2518 1844 2516 1840 Ln 2516 1840 2515 1836 Ln 2515 1836 2516 1833 Ln 2516 1833 2518 1828 Ln 2518 1828 2521 1825 Ln 2521 1825 2526 1823 Ln 2526 1823 2529 1822 Ln 2529 1836 2529 1837 Ln 1769 1000 1773 1002 Ln 1773 1002 1779 1004 Ln 1779 1004 1782 1007 Ln 1782 1007 1785 1012 Ln 1785 1012 1785 1017 Ln 1785 1017 1785 1021 Ln 1785 1021 1782 1026 Ln 1782 1026 1779 1029 Ln 1779 1029 1773 1032 Ln 1773 1032 1769 1032 Ln 1769 1032 1765 1032 Ln 1765 1032 1760 1029 Ln 1760 1029 1757 1026 Ln 1757 1026 1754 1021 Ln 1754 1021 1753 1017 Ln 1753 1017 1754 1012 Ln 1754 1012 1757 1007 Ln 1757 1007 1760 1004 Ln 1760 1004 1765 1002 Ln 1765 1002 1769 1000 Ln 1769 1017 1769 1017 Ln 2565 1742 2568 1743 Ln 2568 1743 2571 1744 Ln 2571 1744 2574 1746 Ln 2574 1746 2575 1750 Ln 2575 1750 2575 1752 Ln 2575 1752 2575 1755 Ln 2575 1755 2574 1759 Ln 2574 1759 2571 1761 Ln 2571 1761 2568 1763 Ln 2568 1763 2565 1764 Ln 2565 1764 2562 1763 Ln 2562 1763 2558 1761 Ln 2558 1761 2556 1759 Ln 2556 1759 2554 1755 Ln 2554 1755 2554 1752 Ln 2554 1752 2554 1750 Ln 2554 1750 2556 1746 Ln 2556 1746 2558 1744 Ln 2558 1744 2562 1743 Ln 2562 1743 2565 1742 Ln 2565 1752 2565 1753 Ln 2337 1596 2340 1596 Ln 2340 1596 2344 1598 Ln 2344 1598 2346 1600 Ln 2346 1600 2348 1604 Ln 2348 1604 2348 1607 Ln 2348 1607 2348 1609 Ln 2348 1609 2346 1613 Ln 2346 1613 2344 1615 Ln 2344 1615 2340 1616 Ln 2340 1616 2337 1617 Ln 2337 1617 2334 1616 Ln 2334 1616 2331 1615 Ln 2331 1615 2328 1613 Ln 2328 1613 2327 1609 Ln 2327 1609 2327 1607 Ln 2327 1607 2327 1604 Ln 2327 1604 2328 1600 Ln 2328 1600 2331 1598 Ln 2331 1598 2334 1596 Ln 2334 1596 2337 1596 Ln 2337 1607 2337 1607 Ln 2447 1710 2447 1710 Ln 2447 1710 2448 1711 Ln 2448 1711 2449 1712 Ln 2449 1712 2450 1712 Ln 2450 1712 2450 1713 Ln 2450 1713 2450 1714 Ln 2450 1714 2449 1715 Ln 2449 1715 2448 1715 Ln 2448 1715 2447 1716 Ln 2447 1716 2447 1716 Ln 2447 1716 2446 1716 Ln 2446 1716 2445 1715 Ln 2445 1715 2445 1715 Ln 2445 1715 2444 1714 Ln 2444 1714 2444 1713 Ln 2444 1713 2444 1712 Ln 2444 1712 2445 1712 Ln 2445 1712 2445 1711 Ln 2445 1711 2446 1710 Ln 2446 1710 2447 1710 Ln 2447 1713 2447 1714 Ln 2459 1683 2460 1683 Ln 2460 1683 2462 1683 Ln 2462 1683 2462 1684 Ln 2462 1684 2463 1686 Ln 2463 1686 2463 1686 Ln 2463 1686 2463 1687 Ln 2463 1687 2462 1689 Ln 2462 1689 2462 1689 Ln 2462 1689 2460 1690 Ln 2460 1690 2459 1690 Ln 2459 1690 2459 1690 Ln 2459 1690 2457 1689 Ln 2457 1689 2456 1689 Ln 2456 1689 2456 1687 Ln 2456 1687 2456 1686 Ln 2456 1686 2456 1686 Ln 2456 1686 2456 1684 Ln 2456 1684 2457 1683 Ln 2457 1683 2459 1683 Ln 2459 1683 2459 1683 Ln 2459 1686 2459 1687 Ln 2056 1491 15 Pix 2056 1491 2056 1491 Ln 2056 1491 2057 1492 Ln 2057 1492 2057 1493 Ln 2057 1493 15 Pix 2057 1493 2057 1493 Ln 2057 1493 2056 1494 Ln 2056 1494 2056 1494 Ln 2056 1494 15 Pix 2056 1494 2055 1494 Ln 2055 1494 2054 1493 Ln 2054 1493 2054 1493 Ln 2054 1493 15 Pix 2054 1493 2054 1492 Ln 2054 1492 2055 1491 Ln 2055 1491 2056 1491 Ln 2056 1491 15 Pix 2056 1493 2056 1493 Ln 2489 1702 2490 1702 Ln 2490 1702 2491 1703 Ln 2491 1703 2493 1704 Ln 2493 1704 2493 1706 Ln 2493 1706 2493 1707 Ln 2493 1707 2493 1707 Ln 2493 1707 2493 1709 Ln 2493 1709 2491 1710 Ln 2491 1710 2490 1711 Ln 2490 1711 2489 1711 Ln 2489 1711 2488 1711 Ln 2488 1711 2487 1710 Ln 2487 1710 2485 1709 Ln 2485 1709 2485 1707 Ln 2485 1707 2485 1707 Ln 2485 1707 2485 1706 Ln 2485 1706 2485 1704 Ln 2485 1704 2487 1703 Ln 2487 1703 2488 1702 Ln 2488 1702 2489 1702 Ln 2489 1707 2489 1707 Ln 1 SLW xs 14 SLC 1005 301 2669 1938 Ln 1 SLW 2669 1781 2640 1751 Ln 2610 1722 14 Pix 2610 1722 2581 1694 Ln 2551 1665 14 Pix 2551 1665 2521 1635 Ln 2492 1607 14 Pix 2492 1607 2463 1578 Ln 2433 1548 14 Pix 2433 1548 2403 1519 Ln 2374 1490 14 Pix 2374 1490 2345 1462 Ln 2315 1433 14 Pix 2315 1433 2285 1403 Ln 2256 1375 14 Pix 2256 1375 2227 1346 Ln 2198 1317 14 Pix 2198 1317 2168 1287 Ln 2138 1258 14 Pix 2138 1258 2109 1229 Ln 2080 1201 14 Pix 2080 1201 2050 1171 Ln 2020 1142 14 Pix 2020 1142 1991 1114 Ln 1962 1085 14 Pix 1962 1085 1932 1055 Ln 1902 1027 14 Pix 1902 1027 1873 997 Ln 1844 969 14 Pix 1844 969 1814 939 Ln 1785 910 14 Pix 1785 910 1756 882 Ln 1726 853 14 Pix 1726 853 1696 823 Ln 1667 795 14 Pix 1667 795 1637 766 Ln 1608 737 14 Pix 1608 737 1578 707 Ln 1549 678 14 Pix 1549 678 1519 650 Ln 1490 621 14 Pix 1490 621 1460 591 Ln 1431 563 14 Pix 1431 563 1401 534 Ln 1373 505 14 Pix 1373 505 1343 476 Ln 1313 446 14 Pix 1313 446 1284 418 Ln 1254 389 14 Pix 1254 389 1225 359 Ln 1195 331 14 Pix 1195 331 1166 302 Ln 1005 450 1036 480 Ln 1064 509 14 Pix 1064 509 1094 537 Ln 1123 566 14 Pix 1123 566 1153 596 Ln 1183 624 14 Pix 1183 624 1212 653 Ln 1241 682 14 Pix 1241 682 1271 711 Ln 1301 741 14 Pix 1301 741 1330 769 Ln 1359 798 14 Pix 1359 798 1389 828 Ln 1419 856 14 Pix 1419 856 1447 885 Ln 1477 914 14 Pix 1477 914 1507 943 Ln 1536 972 14 Pix 1536 972 1566 1002 Ln 1595 1030 14 Pix 1595 1030 1625 1060 Ln 1654 1089 14 Pix 1654 1089 1684 1117 Ln 1713 1146 14 Pix 1713 1146 1743 1175 Ln 1772 1204 14 Pix 1772 1204 1802 1233 Ln 1831 1262 14 Pix 1831 1262 1861 1292 Ln 1890 1321 14 Pix 1890 1321 1919 1349 Ln 1948 1378 14 Pix 1948 1378 1978 1408 Ln 2008 1436 14 Pix 2008 1436 2037 1465 Ln 2067 1494 14 Pix 2067 1494 2097 1523 Ln 2126 1553 14 Pix 2126 1553 2155 1581 Ln 2185 1610 14 Pix 2185 1610 2215 1640 Ln 2244 1668 14 Pix 2244 1668 2273 1697 Ln 2302 1726 14 Pix 2302 1726 2333 1755 Ln 2361 1784 14 Pix 2361 1784 2391 1813 Ln 2420 1842 14 Pix 2420 1842 2450 1872 Ln 2479 1900 14 Pix 2479 1900 2509 1929 Ln 1 SLW xs 15 SLC 1 newPage %%Trailer %!END ?C:\files\text\Research\eiconf\GA2VOTE.PS& ¶Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú26Ú  ÚóóÝ  ÝÔ_Ô€Brad€Ô_ÔPalmquistÔ_Ô€breaks€aggregation€bias€into€two€components,€a€specification€shift€representing€theÐ ° Ðinformation€lost€by€collecting€areal€data,€and€an€inflation€factor€that€can€magnify€the€initial€error€severely.€€TheÏinflation€factor€essentially€represents€traits€of€the€areal€units€used€in€an€analysis,€and€therefore€would€be€similar€forÏboth€estimating€turnout€and€for€estimating€vote€choice.€€For€race,€the€inflation€factor€tends€to€be€quite€low.€€SeeÏÔ_ÔPalmquistÔ_Ô€and€Voss€(1996)€for€a€summary.@RC:\files\text\Research\eiconf\LA68REG.PSC:\files\text\Research\eiconf\LA68REG.PSñÆ€¸´üwÏ´üw¸´üwÏ´üw¤Ð€ :Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú18Ú  ÚóóÝ  ÝÔ_Ô€Nine€Louisiana€parishes€contained€a€federal€examiner€in€1966,€according€to€the€Matthews€and€Ô_ÔProthroÔ_ÔÐ ° Ðdata€set€maintained€by€Jim€Alt€(1994,€372„73).ÿWPCëëÐ Ð !Ð  Àÿ€ž§c%!PS-Adobe-2.0 EPSF-1.2 %%Creator: GAUSS PQG by Aptech Systems, Inc. %%Pages: 1 %%BoundingBox: 0 0 611 791 %%EndComments %--------------------------------------------------------------------- % Temporary variables used %--------------------------------------------------------------------- % PROC VARIABLES % PatternFill : fx1,fx2,fy1,fy2,fwidth % %--------------------------------------------------------------------- % PGL Global Data %--------------------------------------------------------------------- /LineColor 1 def % -1 turns off Line & Outline drawing /LineStyle [] def % /Phase 0 def % /AreaColor 1 def % -1 turns off Area Fills /FillFlag 1 def % 1-Outline, 2-Fill, 3-Both /FillStyle 0 def % /FillMode 1 def % 1-opaque, 0-transparent /MaxColor 15 def % /CurFont 0 def % FontNames index /topFlagV 0 def % Text Justification(Vertical) Flags /ctrFlagV 0 def % (Vertical) /ctrFlagH 0 def % (Horizonal) /LineWidth 1 def % /UnitWidth 1 def % Unit Line thickness in 1/300'ths inches /PatSize 3 def % Fill Pattern Scale Factor /PatChar 1 def % Fill Pattern Ascii Value /UserChar 85 def % UserFill Pattern Ascii Value /FillChar (?) def % UserFill Pattern Ascii Value /UserFillPat <0000000000000000> def %- empty fill by default %-------------------------------------------------------------------- % Bitmap support %-------------------------------------------------------------------- /rleFlag 1 string def /rleStr 2 string def /bmStr 1 string def %-------------------------------------------------------------------- % Color Tables and Mappings %-------------------------------------------------------------------- /bwColors 256 array def 0 1 255 { bwColors exch 0 put } for % zero all colors to black bwColors 0 1 put % index 0 - white, all others black /grayColors 256 array def 0 1 255 { grayColors exch 0 put } for % zero all colors to black grayColors 0 1.00 put grayColors 1 0.11 put grayColors 2 0.59 put grayColors 3 0.70 put grayColors 4 0.30 put grayColors 5 0.41 put grayColors 6 0.40 put grayColors 7 0.97 put grayColors 8 0.50 put grayColors 9 0.40 put grayColors 10 0.73 put grayColors 11 0.80 put grayColors 12 0.53 put grayColors 13 0.60 put grayColors 14 0.93 put grayColors 15 0.00 put /rgbColors 256 array def 0 1 255 { rgbColors exch [0 0 0] put } for % zero all colors to black rgbColors 0 [1 1 1] put % white rgbColors 1 [0 0 1] put % blue rgbColors 2 [0 1 0] put % green rgbColors 3 [0 1 1] put % cyan rgbColors 4 [1 0 0] put % red rgbColors 5 [1 0 1] put % magenta rgbColors 6 [0.67 0.33 0] put % brown rgbColors 7 [0.9 0.9 0.9] put % darkgray rgbColors 8 [0.75 0.75 0.75] put % lightgray rgbColors 9 [0.33 0.33 1] put % lightblue rgbColors 10 [0.33 1 0.33] put % lightgreen rgbColors 11 [0.33 1 1] put % lightcyan rgbColors 12 [1 0.33 0.33] put % lightred rgbColors 13 [1 0.33 1] put % lightmagenta rgbColors 14 [1 1 0.33] put % yellow rgbColors 15 [0 0 0] put % black /ColorModel 0 def /ColorChoices [ bwColors grayColors rgbColors ] def /ColorMap ColorChoices ColorModel get def % default colors=b&w %-------------------------------------------------------------------- %----Page Size, Set By Main Pgm %-------------------------------------------------------------------- % /PX 1950 def /PY 1194 def %-------------------------------------------------------------------- %----Text Scale Factors %-------------------------------------------------------------------- /SX 1800 def % Base size of page width/height, /SY 1194 def % for scaling fonts against /FSX [ 6 7 8 10 12 9 10 ] def % Unit Font Scale factors /FSY [ -2.3 -4.6 -4.6 -4.6 -4.6 -4.6 -4.6 ] def % Neg's to invert Y axis %-------------------------------------------------------------------- %---- Users Font Scale Factors %-------------------------------------------------------------------- /FSXN 1 def /FSXD 1 def /FSYN 1 def /FSYD 1 def %--------------------------------------------------------------------- % Fonts Names Used by PGL % These replace the following vector fonts provided with PGL % If you change these you may need to change the scale factors % in FSX and FSY. %--------------------------------------------------------------------- /FontNames [ /Helvetica % small /Courier % simplex /Helvetica % duplex /Times-Roman % triplex /Times-BoldItalic % gothic /Courier-Oblique % script simplex /Helvetica-Oblique % script duplex ] def %--------------------------------------------------------------------- % Fill Pattern Font based on "PS Lang Ref Man (Red Book) - Chap 5" %--------------------------------------------------------------------- /newfont 10 dict def newfont begin /FontType 3 def /FontMatrix [ .125 0 0 .125 0 0 ] def /FontBBox [ 0 0 8 8 ] def /Encoding 256 array def 0 1 255 { Encoding exch /.notdef put } for Encoding 1 /empty put % '0' Encoding 2 /solid put % '1' Encoding 3 /lfill put % '2' Encoding 4 /slash put % '3' Encoding 5 /hslash put % '4' Encoding 6 /hbkslash put % '5' Encoding 7 /bkslash put % '6' Encoding 8 /hatch put % '7' Encoding 9 /xhatch put % '8' Encoding 10 /intleav put % '9' Encoding 11 /widedot put % '10' Encoding 12 /closedot put % '11' Encoding 13 /pat13 put Encoding 14 /pat14 put Encoding 15 /pat15 put Encoding 16 /pat16 put Encoding 17 /pat17 put Encoding 18 /pat18 put Encoding 19 /pat19 put Encoding 20 /pat20 put Encoding 21 /pat21 put Encoding 22 /pat22 put Encoding 23 /pat23 put Encoding 24 /pat24 put Encoding 25 /pat25 put Encoding 26 /pat26 put Encoding 27 /pat27 put Encoding 28 /pat28 put Encoding 29 /pat29 put Encoding 30 /pat30 put Encoding 31 /pat31 put Encoding 32 /pat32 put Encoding 33 /pat33 put Encoding 34 /pat34 put Encoding 35 /pat35 put Encoding 36 /pat36 put Encoding 37 /pat37 put Encoding 38 /pat38 put Encoding 39 /pat39 put Encoding 40 /pat40 put Encoding 41 /pat41 put Encoding 42 /pat42 put Encoding 43 /pat43 put Encoding 44 /pat44 put Encoding 45 /pat45 put Encoding 46 /pat46 put Encoding 47 /pat47 put Encoding 48 /pat48 put Encoding 49 /pat49 put Encoding 50 /pat50 put Encoding 51 /pat51 put Encoding 52 /pat52 put Encoding 53 /pat53 put Encoding 54 /pat54 put Encoding 55 /pat55 put Encoding 56 /pat56 put Encoding 57 /pat57 put Encoding 58 /pat58 put Encoding 59 /pat59 put Encoding 60 /pat60 put Encoding 61 /pat61 put Encoding 62 /pat62 put Encoding 63 /pat63 put Encoding 64 /pat64 put Encoding 65 /pat65 put Encoding 66 /pat66 put Encoding 67 /pat67 put Encoding 68 /pat68 put Encoding 69 /pat69 put Encoding 70 /pat70 put Encoding 71 /pat71 put Encoding 72 /pat72 put Encoding 73 /pat73 put Encoding 74 /pat74 put Encoding 75 /pat75 put Encoding 76 /pat76 put Encoding 77 /pat77 put Encoding 78 /pat78 put Encoding 79 /pat79 put Encoding 80 /pat80 put Encoding 81 /pat81 put Encoding 82 /pat82 put Encoding 83 /pat83 put Encoding 84 /pat84 put Encoding 85 /patfill put % '12' /CharProcs 86 dict def CharProcs begin /.notdef {} bind def /empty { 8 8 true [1 0 0 1 0 0] { <0000000000000000> } imagemask } bind def /solid { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /lfill { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /slash { 8 8 true [1 0 0 1 0 0] { <0102040810204080> } imagemask } bind def /hslash { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /hbkslash { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /bkslash { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /hatch { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /xhatch { 8 8 true [1 0 0 1 0 0] { <8142241818244281> } imagemask } bind def /intleav { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /widedot { 8 8 true [1 0 0 1 0 0] { <8000080080000800> } imagemask } bind def /closedot { 8 8 true [1 0 0 1 0 0] { <8800220088002200> } imagemask } bind def /pat13 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat14 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat15 { 8 8 true [1 0 0 1 0 0] { <8000000008000000> } imagemask } bind def /pat16 { 8 8 true [1 0 0 1 0 0] { <8000000000000000> } imagemask } bind def /pat17 { 8 8 true [1 0 0 1 0 0] { <8100001818000081> } imagemask } bind def /pat18 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat19 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat20 { 8 8 true [1 0 0 1 0 0] { <7effffe7e7ffff7e> } imagemask } bind def /pat21 { 8 8 true [1 0 0 1 0 0] { <0000001818000000> } imagemask } bind def /pat22 { 8 8 true [1 0 0 1 0 0] { <55ffaaff55ffaaff> } imagemask } bind def /pat23 { 8 8 true [1 0 0 1 0 0] { <77ffddff77ffddff> } imagemask } bind def /pat24 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat25 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat26 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat27 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat28 { 8 8 true [1 0 0 1 0 0] { <0040a00000040a00> } imagemask } bind def /pat29 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat30 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat31 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat32 { 8 8 true [1 0 0 1 0 0] { <0044281028440000> } imagemask } bind def /pat33 { 8 8 true [1 0 0 1 0 0] { <8844201000002010> } imagemask } bind def /pat34 { 8 8 true [1 0 0 1 0 0] { <0040201000010204> } imagemask } bind def /pat35 { 8 8 true [1 0 0 1 0 0] { <0010284428100000> } imagemask } bind def /pat36 { 8 8 true [1 0 0 1 0 0] { <0008083e08080000> } imagemask } bind def /pat37 { 8 8 true [1 0 0 1 0 0] { <8844220088442200> } imagemask } bind def /pat38 { 8 8 true [1 0 0 1 0 0] { <1122440011224400> } imagemask } bind def /pat39 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat40 { 8 8 true [1 0 0 1 0 0] { <8040201008040201> } imagemask } bind def /pat41 { 8 8 true [1 0 0 1 0 0] { <0b172e5dba74e8d0> } imagemask } bind def /pat42 { 8 8 true [1 0 0 1 0 0] { <0f1f3f7ffefcf8f0> } imagemask } bind def /pat43 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat44 { 8 8 true [1 0 0 1 0 0] { <0002040200204020> } imagemask } bind def /pat45 { 8 8 true [1 0 0 1 0 0] { <1f11f1111f11f111> } imagemask } bind def /pat46 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat47 { 8 8 true [1 0 0 1 0 0] { <0102448801020000> } imagemask } bind def /pat48 { 8 8 true [1 0 0 1 0 0] { <0010284444380000> } imagemask } bind def /pat49 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat50 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat51 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat52 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat53 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat54 { 8 8 true [1 0 0 1 0 0] { <03070e1c3870e0c0> } imagemask } bind def /pat55 { 8 8 true [1 0 0 1 0 0] { <0000182444241800> } imagemask } bind def /pat56 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat57 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat58 { 8 8 true [1 0 0 1 0 0] { <8080808080808080> } imagemask } bind def /pat59 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat60 { 8 8 true [1 0 0 1 0 0] { <8888888888888888> } imagemask } bind def /pat61 { 8 8 true [1 0 0 1 0 0] { <5555aaaa5555aaaa> } imagemask } bind def /pat62 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat63 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat64 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat65 { 8 8 true [1 0 0 1 0 0] { <0808080880808080> } imagemask } bind def /pat66 { 8 8 true [1 0 0 1 0 0] { <20508f5020202020> } imagemask } bind def /pat67 { 8 8 true [1 0 0 1 0 0] { <1028448344281010> } imagemask } bind def /pat68 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat69 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat70 { 8 8 true [1 0 0 1 0 0] { <82050a142850a041> } imagemask } bind def /pat71 { 8 8 true [1 0 0 1 0 0] { <41a05028140a0582> } imagemask } bind def /pat72 { 8 8 true [1 0 0 1 0 0] { <10387cff7c381010> } imagemask } bind def /pat73 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat74 { 8 8 true [1 0 0 1 0 0] { <80c0e0f0f8fcfeff> } imagemask } bind def /pat75 { 8 8 true [1 0 0 1 0 0] { } imagemask } bind def /pat76 { 8 8 true [1 0 0 1 0 0] { <4020101824428180> } imagemask } bind def /pat77 { 8 8 true [1 0 0 1 0 0] { <0609090600000000> } imagemask } bind def /pat78 { 8 8 true [1 0 0 1 0 0] { <1824428118244281> } imagemask } bind def /pat79 { 8 8 true [1 0 0 1 0 0] { <1122448888442211> } imagemask } bind def /pat80 { 8 8 true [1 0 0 1 0 0] { <8244281010101000> } imagemask } bind def /pat81 { 8 8 true [1 0 0 1 0 0] { <008040201e204080> } imagemask } bind def /pat82 { 8 8 true [1 0 0 1 0 0] { <7fc1a2948894a2c1> } imagemask } bind def /pat83 { 8 8 true [1 0 0 1 0 0] { <101028c70101827c> } imagemask } bind def /pat84 { 8 8 true [1 0 0 1 0 0] { <1c121121c1211112> } imagemask } bind def /patfill { 8 8 true [1 0 0 1 0 0] { UserFillPat } imagemask } bind def end /BuildChar { exch begin dup UserChar eq{ 8 0 setcharwidth % userfillstyle }{ 8 0 0 0 8 8 setcachedevice % standard fillstyle }ifelse Encoding exch get CharProcs exch get end exec }def end /FillFont newfont definefont pop %----- End Of Area Fill Font Def-------------------------------------- %--------------------------------------------------------------------- % PGL Redefinitions %--------------------------------------------------------------------- /gs { gsave } bind def /gr { grestore } bind def /m { moveto } bind def /l { lineto currentpoint stroke moveto } bind def /rm { rmoveto } bind def /rl { rlineto } bind def /cp { closepath } bind def /np { newpath } bind def /sg { setgray } bind def /st { stroke } bind def /sd { setdash } bind def /ex { exch } bind def /in { index } bind def /sw { stringwidth } bind def /cxy { currentpoint } bind def /slw { setlinewidth } bind def %--------------------------------------------------------------------- % str strlen nchars %--------------------------------------------------------------------- /strlen { dup % str str /itmp 0 def { /itmp itmp 1 add def pop } forall % count characters itmp % nchars } bind def %--------------------------------------------------------------------- % string txtCtrH % Center Justify a string Horiz %--------------------------------------------------------------------- /txtCtrH { dup sw pop 2 div neg dup 0 rm /ctrFlagH exch def } bind def %--------------------------------------------------------------------- % wx wy string atxtCtrH % Center Justify a string Horiz %--------------------------------------------------------------------- /atxtCtrH { 3 -1 roll % wy string wx dup % wy string wx wx 4 1 roll % wx wy string wx /xW ex def % wx wy string strlen % wx wy string nchars xW mul /xW ex def dup % str str sw % str wx wy pop % str wx xW add % str wx+xW 2 div neg dup 0 rm /ctrFlagH exch def } bind def %--------------------------------------------------------------------- % txtCtrHend % Finish Center Justifying a string Horiz % cp shoud be at center of string %--------------------------------------------------------------------- /txtCtrHend { ctrFlagH 0 rm /ctrFlagH 0 def } bind def %--------------------------------------------------------------------- % string txtRtH % Right Justify a string Horiz %--------------------------------------------------------------------- /txtRtH {dup sw pop neg 0 rm} bind def %--------------------------------------------------------------------- % string txtRtH % Right Justify a string Horiz %--------------------------------------------------------------------- /atxtRtH { 3 -1 roll % wy string wx dup % wy string wx wx 4 1 roll % wx wy string wx /xW ex def % wx wy string strlen % wx wy string nchars xW mul /xW ex def dup sw pop xW add % str wx+xW neg 0 rm } bind def %--------------------------------------------------------------------- % txtCtrV % Center Justify a string Vertically %--------------------------------------------------------------------- /txtCtrV { gs np 0 0 m (X) true charpath flattenpath pathbbox ex pop sub neg 2 div 0 ex gr rm pop /ctrFlagV 1 def } bind def %--------------------------------------------------------------------- % txtCtrVend % Center Justify a string Vertically %--------------------------------------------------------------------- /txtCtrVend { gs np 0 0 m (X) true charpath flattenpath pathbbox ex pop sub neg 2 div 0 ex gr neg rm pop /ctrFlagV 0 def } bind def %--------------------------------------------------------------------- % string txtTopV % Top Justify a string Vertically %--------------------------------------------------------------------- /txtTopV { gs np 0 0 m (X) true charpath flattenpath pathbbox ex pop sub neg 0 ex gr rm pop /topFlagV 1 def } bind def %--------------------------------------------------------------------- % txtTopVend % Top Justify a string Vertically %--------------------------------------------------------------------- /txtTopVend { gs np 0 0 m (X) true charpath flattenpath pathbbox ex pop sub neg 0 ex gr neg rm pop /topFlagV 0 def } bind def %--------------------------------------------------------------------- % ash display text & readjusts cp for Top & Center Vertical % text justification %--------------------------------------------------------------------- /ash { ashow topFlagV 1 eq { txtTopVend } if ctrFlagV 1 eq { txtCtrVend } if ctrFlagH 0 ne { txtCtrHend } if } bind def %--------------------------------------------------------------------- % sh display text & readjusts cp for Top & Center Vertical % text justification %--------------------------------------------------------------------- /sh { show topFlagV 1 eq { txtTopVend } if ctrFlagV 1 eq { txtCtrVend } if ctrFlagH 0 ne { txtCtrHend } if } bind def %--------------------------------------------------------------------- % xs % Extended Stroke %--------------------------------------------------------------------- /xs { LineColor -1 ne { cxy st m }{ cxy np m }ifelse } bind def %--------------------------------------------------------------------- % color SLC % SetLineColor % -1 turns off line drawing %--------------------------------------------------------------------- /SLC { dup /LineColor exch def SCC }bind def %--------------------------------------------------------------------- % index [r g b] SRC % SetRgbColor %--------------------------------------------------------------------- /SRC { /rgbTmp exch def /rgbIndex exch def /rgbAbs 0.0 def rgbTmp 0 get 1. 255. div mul rgbTmp exch 0 exch put rgbTmp 1 get 1. 255. div mul rgbTmp exch 1 exch put rgbTmp 2 get 1. 255. div mul rgbTmp exch 2 exch put rgbColors rgbIndex rgbTmp put rgbTmp { dup mul rgbAbs add /rgbAbs exch def } forall grayColors rgbIndex rgbAbs sqrt put }bind def %--------------------------------------------------------------------- % color SCC % SetCurColor %--------------------------------------------------------------------- /SCC { dup -1 ne { % -1 turns of line drawing ColorMap exch get dup type /arraytype ne { setgray }{ {} forall setrgbcolor } ifelse }{ pop % remove -1 from stack }ifelse }bind def %--------------------------------------------------------------------- % [] phase SLS % SetLineStyle %--------------------------------------------------------------------- /SLS { /Phase exch def /LineStyle exch def LineStyle Phase setdash }bind def %--------------------------------------------------------------------- % width SLW % SetLineWidth ( 1/300 inch ) %--------------------------------------------------------------------- /SLW { /LineWidth exch def LineWidth UnitWidth mul setlinewidth }bind def %--------------------------------------------------------------------- % color SFC % SetFillColor %--------------------------------------------------------------------- /SFC { /AreaColor exch def }bind def %--------------------------------------------------------------------- % SUF % SetUserFill pattern = hex no %--------------------------------------------------------------------- /SUF { /UserFillPat exch def % set pattern /FillStyle 84 def % set flag }bind def %--------------------------------------------------------------------- % style SFS % SetFillStyle style no (0-11) %--------------------------------------------------------------------- /SFS { /FillStyle exch def }bind def %--------------------------------------------------------------------- % mode SFM % SetFillMode ( 1-Opaque, 2-Transparent) %--------------------------------------------------------------------- /SFM { /FillMode exch def }bind def %--------------------------------------------------------------------- % fontno SCF SetCurFont %--------------------------------------------------------------------- /SCF { dup /CurFont exch def % save font no. FontNames exch get findfont [ FSX CurFont get FSXN mul FSXD div PX mul SX div 0 0 FSY CurFont get FSYN mul FSYD div PY mul SY div 0 0 ] makefont setfont }bind def %--------------------------------------------------------------------- % xn xd yn yd SFX % SetFontScale %--------------------------------------------------------------------- /SFX { /FSYD exch def /FSYN exch def /FSXD exch def /FSXN exch def CurFont SCF }bind def %--------------------------------------------------------------------- % [ f1 f2 f3 f4 f5 f6 f7 ] SFNS % SetFontNames %--------------------------------------------------------------------- /SFNS { /FontNames exch def }bind def %--------------------------------------------------------------------- % [7 xsizes] [7 ysizes] SFZ % SetFontSizes %--------------------------------------------------------------------- /SFSZ { /FSY exch def /FSX exch def }bind def %--------------------------------------------------------------------- % px py SPS % SetPageSize %--------------------------------------------------------------------- /SPS { /PY exch def /PX exch def }bind def %--------------------------------------------------------------------- % x y color Pix % SetPixel 1-Pixel = 1/300" pixel! %--------------------------------------------------------------------- /Pix { gsave % SCC moveto % set color & position 1 setlinewidth [] 0 setdash % set attributes 1 0 rlineto stroke % do it! grestore % } bind def %--------------------------------------------------------------------- % x1 x2 y2 y2 Ln % Line %--------------------------------------------------------------------- /Ln { gs np 4 -2 roll m l st gr } bind def %--------------------------------------------------------------------- % x1 y1 x2 y2 flag Rect (flag: 1-outline,2-fill,3-both) %--------------------------------------------------------------------- /Rect { /FillFlag exch def gs np DrawRect FillArea OutLine gr } bind def %--------------------------------------------------------------------- % x1 y1 x2 y2 x3 y3 .... flag PolyF % PolyFill - fill current path %--------------------------------------------------------------------- /PolyF { /FillFlag exch def gs closepath FillArea OutLine gr } bind def %--------------------------------------------------------------------- % x1 y1 x2 y2 ClipR % ClipRect %--------------------------------------------------------------------- /ClipR { cxy 6 2 roll % cx cy x1 y1 x2 y2 gr gs 0 setlinewidth np DrawRect eoclip np m %-- Reset graphics state LineWidth SLW LineColor SLC FSXN FSXD FSYN FSYD SFX CurFont SCF LineStyle 0 setdash } bind def %-PRIVATE------------------------------------------------------------- % x1 y1 x2 y2 DrawRect %--------------------------------------------------------------------- /DrawRect { 3 in 3 in moveto 1 in 3 in lineto 3 in 1 in 4 -2 roll lineto lineto pop pop closepath % lineto } bind def %-PRIVATE------------------------------------------------------------- % xc yc sa ea rx ry DrawArc %--------------------------------------------------------------------- /DrawArc { /savematrix matrix currentmatrix def 6 -2 roll translate scale 0 0 1 5 -2 roll 1 -1 scale arc 1 -1 scale savematrix setmatrix }bind def %--------------------------------------------------------------------- % xc yc sa ea rx ry Arc %--------------------------------------------------------------------- /Arc { gs np DrawArc [] 0 sd st gr } bind def %--------------------------------------------------------------------- % xc yc sa ea rx ry flag Pie (flag: 1-Outline,2-Fill,3-Both) %--------------------------------------------------------------------- /Pie { /FillFlag exch def gs np 6 -2 roll 2 copy 2 copy m 8 4 roll DrawArc cp FillArea OutLine gr } bind def %--------------------------------------------------------------------- % xc yc rx ry flag ELLIPSE (flag: 1-Outline,2-Fill,3-Both) %--------------------------------------------------------------------- /Ellipse { /FillFlag exch def gs np 0 360 4 2 roll DrawArc FillArea OutLine gr }bind def %-PRIVATE------------------------------------------------------------- % OutLine %--------------------------------------------------------------------- /OutLine { FillFlag 1 and 1 eq { [] 0 sd LineColor SCC st }if }bind def %-PRIVATE------------------------------------------------------------- % FillArea - fills current path %--------------------------------------------------------------------- /FillArea { FillFlag 2 and 2 eq { gs ; eoclip clippath AreaColor SCC PatternFill gr }if }bind def %-PRIVATE------------------------------------------------------------- % PatternFill %--------------------------------------------------------------------- /PatternFill { /psize 8 PatSize mul def /FillFont findfont psize scalefont setfont % set Pattern font FillChar 0 FillStyle PatChar add put % fill char index FillMode 1 eq { gsave 1 setgray fill grestore }if % erase background pathbbox % llx lly urx ury newpath ceiling cvi /fy2 exch def ceiling cvi /fx2 exch def cvi 7 not and /fy1 exch def cvi 7 not and /fx1 exch def fx2 fx1 sub psize div ceiling cvi /fwidth exch def fy1 psize fy2 % { % fx1 exch moveto % fwidth { FillChar show } repeat % } for % } bind def %--------------------------------------------------------------------- % savePGL %--------------------------------------------------------------------- /savePGL{ /saveObj save def }bind def %--------------------------------------------------------------------- % #copies newPage %--------------------------------------------------------------------- /newPage{ /#copies exch def showpage saveObj restore /#copies 1 def }bind def %---------------------------------------------------------------------- % x,y,npixels bmRow % Bitmap row data, 1 row at a time... %---------------------------------------------------------------------- /bmRow { /bmPixels exch def /bmY exch def /bmX exch def currentpoint stroke moveto % save x,y stroke and moveto gsave % save graphics state 1 setlinewidth % linewidth 0 setlinecap % but cap [] 0 setdash % solid style bmX .5 add bmY .5 add moveto % move to start of row % % Read & decompress a whole row of pixel color data via RLE % currentfile rleFlag readhexstring pop 0 get 1 eq { /cumBytes 0 def { currentfile rleStr readhexstring pop dup 0 get 1 add exch % count rleStr 1 get SCC % count dup % dup count 0 rlineto % draw currentpoint stroke moveto /cumBytes exch cumBytes add def cumBytes bmPixels ge { exit } if }loop }{ 1 1 bmPixels { pop currentfile bmStr readhexstring pop 0 get SCC 1 0 rlineto currentpoint stroke moveto }for }ifelse grestore }bind def %---------------------------------------------------------------------- % DPI PMAXX PMAXY PageHght TopMgn LftMgn LandFlag ColorModel initPGL %---------------------------------------------------------------------- /initPGL { %---Page Constants /ColorModel exch def /LandFlag exch def /LeftMgn exch def /TopMgn exch def /PageHeight exch def /PY exch def /PX exch def %---Select/Set Color model /ColorMap ColorChoices ColorModel get def % default colors=b&w %---Save state & set output res savePGL %---Set output res scaling, dpi on stack(300?) /dpiRes exch def % dots per inch /dphiRes dpiRes 100 div def % pots per 1/100 inches (hinches) 72 dpiRes div dup scale %---Set coordinate origin, & dir LandFlag 1 ne { % Portrait Setup LeftMgn dphiRes mul PageHeight TopMgn sub dphiRes mul }{ % Landscape Setup 90 rotate LeftMgn dphiRes mul TopMgn dphiRes mul neg }ifelse translate 1 -1 scale %---Adjust font scale factor sizes, relative to 5000x5000 0 1 6 { dup FSX exch get 4999 PX div mul FSX 3 1 roll put } for 0 1 6 { dup FSY exch get 4999 PY div mul FSY 3 1 roll put } for %---Set default graphics state np 0 0 m 1 SLC 1 SLW [] 0 SLS 1 1 1 1 SFX 0 SCF <0000000000000000> SUF 10 setmiterlimit 0 setlinejoin 1 setlinecap gs % save for clipping xs 0 0 PX PY ClipR }bind def %%EndProlog %%Page: 1 1 300 2999 2247 1100 50 50 1 0 initPGL 0 SCF [] 0 SLS 1 SLW SUF 1 SFC 1 SFS 1 SFC 1 SFM 0 0 2999 2247 ClipR 0 0 2999 2247 ClipR xs 1 SLC [] 0 SLS 1 SLW xs 0 SLC 1 SLW xs 15 SLC 1005 301 1005 1938 Ln 2669 301 2669 1938 Ln 1005 301 1005 1938 Ln 2670 301 2670 1938 Ln 1004 299 1004 1938 Ln 2671 299 2671 1938 Ln 1003 299 1003 1938 Ln 2671 299 2671 1938 Ln 1003 298 1003 1938 Ln 2672 298 2672 1938 Ln 1005 383 990 383 Ln 2669 383 2684 383 Ln 1005 464 990 464 Ln 2669 464 2684 464 Ln 1005 545 990 545 Ln 2669 545 2684 545 Ln 1005 627 990 627 Ln 2669 627 2684 627 Ln 1005 301 982 301 Ln 2669 301 2693 301 Ln 937 247 935 241 Ln 935 241 928 237 Ln 928 237 919 235 Ln 919 235 913 235 Ln 913 235 903 237 Ln 903 237 897 241 Ln 897 241 895 247 Ln 895 247 895 251 Ln 895 251 897 256 Ln 897 256 903 260 Ln 903 260 913 262 Ln 913 262 919 262 Ln 919 262 928 260 Ln 928 260 935 256 Ln 935 256 937 251 Ln 937 251 937 247 Ln 937 247 935 242 Ln 935 242 933 241 Ln 933 241 928 239 Ln 928 239 919 237 Ln 919 237 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732 921 731 Ln 921 731 917 725 Ln 917 725 913 717 Ln 898 707 901 709 Ln 901 709 901 713 Ln 901 713 897 723 Ln 897 723 897 728 Ln 897 728 898 732 Ln 898 732 901 734 Ln 901 713 895 723 Ln 895 723 895 731 Ln 895 731 897 732 Ln 897 732 901 734 Ln 901 734 905 734 Ln 937 752 917 748 Ln 917 748 921 752 Ln 921 752 922 758 Ln 922 758 922 764 Ln 922 764 921 769 Ln 921 769 917 774 Ln 917 774 911 775 Ln 911 775 906 775 Ln 906 775 901 774 Ln 901 774 897 769 Ln 897 769 895 764 Ln 895 764 895 758 Ln 895 758 897 752 Ln 897 752 898 750 Ln 898 750 903 748 Ln 903 748 905 748 Ln 905 748 906 750 Ln 906 750 905 752 Ln 905 752 903 750 Ln 922 764 921 767 Ln 921 767 917 771 Ln 917 771 911 774 Ln 911 774 906 774 Ln 906 774 901 771 Ln 901 771 897 767 Ln 897 767 895 764 Ln 937 752 937 771 Ln 935 752 935 761 Ln 935 761 937 771 Ln 1005 1201 990 1201 Ln 2669 1201 2684 1201 Ln 1005 1282 990 1282 Ln 2669 1282 2684 1282 Ln 1005 1364 990 1364 Ln 2669 1364 2684 1364 Ln 1005 1445 990 1445 Ln 2669 1445 2684 1445 Ln 1005 1120 982 1120 Ln 2669 1120 2693 1120 Ln 937 1065 935 1059 Ln 935 1059 928 1055 Ln 928 1055 919 1053 Ln 919 1053 913 1053 Ln 913 1053 903 1055 Ln 903 1055 897 1059 Ln 897 1059 895 1065 Ln 895 1065 895 1069 Ln 895 1069 897 1075 Ln 897 1075 903 1079 Ln 903 1079 913 1081 Ln 913 1081 919 1081 Ln 919 1081 928 1079 Ln 928 1079 935 1075 Ln 935 1075 937 1069 Ln 937 1069 937 1065 Ln 937 1065 935 1061 Ln 935 1061 933 1059 Ln 933 1059 928 1057 Ln 928 1057 919 1055 Ln 919 1055 913 1055 Ln 913 1055 903 1057 Ln 903 1057 898 1059 Ln 898 1059 897 1061 Ln 897 1061 895 1065 Ln 895 1069 897 1072 Ln 897 1072 898 1075 Ln 898 1075 903 1077 Ln 903 1077 913 1079 Ln 913 1079 919 1079 Ln 919 1079 928 1077 Ln 928 1077 933 1075 Ln 933 1075 935 1072 Ln 935 1072 937 1069 Ln 898 1099 897 1096 Ln 897 1096 895 1099 Ln 895 1099 897 1100 Ln 897 1100 898 1099 Ln 937 1120 917 1116 Ln 917 1116 921 1120 Ln 921 1120 922 1126 Ln 922 1126 922 1132 Ln 922 1132 921 1138 Ln 921 1138 917 1142 Ln 917 1142 911 1143 Ln 911 1143 906 1143 Ln 906 1143 901 1142 Ln 901 1142 897 1138 Ln 897 1138 895 1132 Ln 895 1132 895 1126 Ln 895 1126 897 1120 Ln 897 1120 898 1118 Ln 898 1118 903 1116 Ln 903 1116 905 1116 Ln 905 1116 906 1118 Ln 906 1118 905 1120 Ln 905 1120 903 1118 Ln 922 1132 921 1135 Ln 921 1135 917 1140 Ln 917 1140 911 1142 Ln 911 1142 906 1142 Ln 906 1142 901 1140 Ln 901 1140 897 1135 Ln 897 1135 895 1132 Ln 937 1120 937 1140 Ln 935 1120 935 1129 Ln 935 1129 937 1140 Ln 937 1169 935 1163 Ln 935 1163 928 1159 Ln 928 1159 919 1157 Ln 919 1157 913 1157 Ln 913 1157 903 1159 Ln 903 1159 897 1163 Ln 897 1163 895 1169 Ln 895 1169 895 1173 Ln 895 1173 897 1178 Ln 897 1178 903 1183 Ln 903 1183 913 1184 Ln 913 1184 919 1184 Ln 919 1184 928 1183 Ln 928 1183 935 1178 Ln 935 1178 937 1173 Ln 937 1173 937 1169 Ln 937 1169 935 1165 Ln 935 1165 933 1163 Ln 933 1163 928 1161 Ln 928 1161 919 1159 Ln 919 1159 913 1159 Ln 913 1159 903 1161 Ln 903 1161 898 1163 Ln 898 1163 897 1165 Ln 897 1165 895 1169 Ln 895 1173 897 1176 Ln 897 1176 898 1178 Ln 898 1178 903 1181 Ln 903 1181 913 1183 Ln 913 1183 919 1183 Ln 919 1183 928 1181 Ln 928 1181 933 1178 Ln 933 1178 935 1176 Ln 935 1176 937 1173 Ln 1005 1610 990 1610 Ln 2669 1610 2684 1610 Ln 1005 1691 990 1691 Ln 2669 1691 2684 1691 Ln 1005 1773 990 1773 Ln 2669 1773 2684 1773 Ln 1005 1854 990 1854 Ln 2669 1854 2684 1854 Ln 1005 1529 982 1529 Ln 2669 1529 2693 1529 Ln 937 1475 935 1468 Ln 935 1468 928 1464 Ln 928 1464 919 1462 Ln 919 1462 913 1462 Ln 913 1462 903 1464 Ln 903 1464 897 1468 Ln 897 1468 895 1475 Ln 895 1475 895 1478 Ln 895 1478 897 1484 Ln 897 1484 903 1488 Ln 903 1488 913 1490 Ln 913 1490 919 1490 Ln 919 1490 928 1488 Ln 928 1488 935 1484 Ln 935 1484 937 1478 Ln 937 1478 937 1475 Ln 937 1475 935 1470 Ln 935 1470 933 1468 Ln 933 1468 928 1467 Ln 928 1467 919 1464 Ln 919 1464 913 1464 Ln 913 1464 903 1467 Ln 903 1467 898 1468 Ln 898 1468 897 1470 Ln 897 1470 895 1475 Ln 895 1478 897 1482 Ln 897 1482 898 1484 Ln 898 1484 903 1486 Ln 903 1486 913 1488 Ln 913 1488 919 1488 Ln 919 1488 928 1486 Ln 928 1486 933 1484 Ln 933 1484 935 1482 Ln 935 1482 937 1478 Ln 898 1508 897 1505 Ln 897 1505 895 1508 Ln 895 1508 897 1509 Ln 897 1509 898 1508 Ln 937 1525 925 1525 Ln 928 1525 933 1527 Ln 933 1527 937 1531 Ln 937 1531 937 1535 Ln 937 1535 931 1544 Ln 931 1544 931 1548 Ln 931 1548 933 1551 Ln 933 1551 937 1553 Ln 933 1527 935 1531 Ln 935 1531 935 1535 Ln 935 1535 931 1544 Ln 937 1553 931 1553 Ln 931 1553 925 1551 Ln 925 1551 915 1543 Ln 915 1543 911 1541 Ln 911 1541 905 1539 Ln 905 1539 895 1539 Ln 925 1551 915 1541 Ln 915 1541 911 1539 Ln 911 1539 905 1537 Ln 905 1537 895 1537 Ln 937 1571 917 1566 Ln 917 1566 921 1571 Ln 921 1571 922 1576 Ln 922 1576 922 1582 Ln 922 1582 921 1587 Ln 921 1587 917 1592 Ln 917 1592 911 1593 Ln 911 1593 906 1593 Ln 906 1593 901 1592 Ln 901 1592 897 1587 Ln 897 1587 895 1582 Ln 895 1582 895 1576 Ln 895 1576 897 1571 Ln 897 1571 898 1568 Ln 898 1568 903 1566 Ln 903 1566 905 1566 Ln 905 1566 906 1568 Ln 906 1568 905 1571 Ln 905 1571 903 1568 Ln 922 1582 921 1586 Ln 921 1586 917 1590 Ln 917 1590 911 1592 Ln 911 1592 906 1592 Ln 906 1592 901 1590 Ln 901 1590 897 1586 Ln 897 1586 895 1582 Ln 937 1571 937 1590 Ln 935 1571 935 1580 Ln 935 1580 937 1590 Ln 1005 1938 982 1938 Ln 2669 1938 2693 1938 Ln 928 1877 931 1881 Ln 931 1881 937 1887 Ln 937 1887 895 1887 Ln 935 1885 895 1885 Ln 895 1877 895 1895 Ln 898 1917 897 1915 Ln 897 1915 895 1917 Ln 895 1917 897 1918 Ln 897 1918 898 1917 Ln 937 1947 935 1940 Ln 935 1940 928 1936 Ln 928 1936 919 1934 Ln 919 1934 913 1934 Ln 913 1934 903 1936 Ln 903 1936 897 1940 Ln 897 1940 895 1947 Ln 895 1947 895 1950 Ln 895 1950 897 1956 Ln 897 1956 903 1960 Ln 903 1960 913 1962 Ln 913 1962 919 1962 Ln 919 1962 928 1960 Ln 928 1960 935 1956 Ln 935 1956 937 1950 Ln 937 1950 937 1947 Ln 937 1947 935 1942 Ln 935 1942 933 1940 Ln 933 1940 928 1938 Ln 928 1938 919 1936 Ln 919 1936 913 1936 Ln 913 1936 903 1938 Ln 903 1938 898 1940 Ln 898 1940 897 1942 Ln 897 1942 895 1947 Ln 895 1950 897 1954 Ln 897 1954 898 1956 Ln 898 1956 903 1958 Ln 903 1958 913 1960 Ln 913 1960 919 1960 Ln 919 1960 928 1958 Ln 928 1958 933 1956 Ln 933 1956 935 1954 Ln 935 1954 937 1950 Ln 937 1987 935 1981 Ln 935 1981 928 1977 Ln 928 1977 919 1975 Ln 919 1975 913 1975 Ln 913 1975 903 1977 Ln 903 1977 897 1981 Ln 897 1981 895 1987 Ln 895 1987 895 1991 Ln 895 1991 897 1997 Ln 897 1997 903 2001 Ln 903 2001 913 2002 Ln 913 2002 919 2002 Ln 919 2002 928 2001 Ln 928 2001 935 1997 Ln 935 1997 937 1991 Ln 937 1991 937 1987 Ln 937 1987 935 1983 Ln 935 1983 933 1981 Ln 933 1981 928 1980 Ln 928 1980 919 1977 Ln 919 1977 913 1977 Ln 913 1977 903 1980 Ln 903 1980 898 1981 Ln 898 1981 897 1983 Ln 897 1983 895 1987 Ln 895 1991 897 1995 Ln 897 1995 898 1997 Ln 898 1997 903 1999 Ln 903 1999 913 2001 Ln 913 2001 919 2001 Ln 919 2001 928 1999 Ln 928 1999 933 1997 Ln 933 1997 935 1995 Ln 935 1995 937 1991 Ln 1005 301 2669 301 Ln 1005 1938 2669 1938 Ln 1006 301 2669 301 Ln 1005 1938 2670 1938 Ln 1007 299 2669 299 Ln 1004 1939 2671 1939 Ln 1008 299 2669 299 Ln 1003 1940 2671 1940 Ln 1008 298 2669 298 Ln 1003 1941 2672 1941 Ln 1088 301 1088 286 Ln 1088 1938 1088 1953 Ln 1171 301 1171 286 Ln 1171 1938 1171 1953 Ln 1254 301 1254 286 Ln 1254 1938 1254 1953 Ln 1337 301 1337 286 Ln 1337 1938 1337 1953 Ln 1005 301 1005 278 Ln 1005 1938 1005 1961 Ln 951 227 944 229 Ln 944 229 940 235 Ln 940 235 938 245 Ln 938 245 938 251 Ln 938 251 940 260 Ln 940 260 944 266 Ln 944 266 951 269 Ln 951 269 954 269 Ln 954 269 960 266 Ln 960 266 964 260 Ln 964 260 966 251 Ln 966 251 966 245 Ln 966 245 964 235 Ln 964 235 960 229 Ln 960 229 954 227 Ln 954 227 951 227 Ln 951 227 946 229 Ln 946 229 944 231 Ln 944 231 942 235 Ln 942 235 940 245 Ln 940 245 940 251 Ln 940 251 942 260 Ln 942 260 944 265 Ln 944 265 946 266 Ln 946 266 951 269 Ln 954 269 958 266 Ln 958 266 960 265 Ln 960 265 962 260 Ln 962 260 964 251 Ln 964 251 964 245 Ln 964 245 962 235 Ln 962 235 960 231 Ln 960 231 958 229 Ln 958 229 954 227 Ln 984 265 982 266 Ln 982 266 984 269 Ln 984 269 985 266 Ln 985 266 984 265 Ln 1014 227 1008 229 Ln 1008 229 1004 235 Ln 1004 235 1002 245 Ln 1002 245 1002 251 Ln 1002 251 1004 260 Ln 1004 260 1008 266 Ln 1008 266 1014 269 Ln 1014 269 1018 269 Ln 1018 269 1024 266 Ln 1024 266 1028 260 Ln 1028 260 1030 251 Ln 1030 251 1030 245 Ln 1030 245 1028 235 Ln 1028 235 1024 229 Ln 1024 229 1018 227 Ln 1018 227 1014 227 Ln 1014 227 1010 229 Ln 1010 229 1008 231 Ln 1008 231 1006 235 Ln 1006 235 1004 245 Ln 1004 245 1004 251 Ln 1004 251 1006 260 Ln 1006 260 1008 265 Ln 1008 265 1010 266 Ln 1010 266 1014 269 Ln 1018 269 1021 266 Ln 1021 266 1024 265 Ln 1024 265 1026 260 Ln 1026 260 1028 251 Ln 1028 251 1028 245 Ln 1028 245 1026 235 Ln 1026 235 1024 231 Ln 1024 231 1021 229 Ln 1021 229 1018 227 Ln 1056 227 1050 229 Ln 1050 229 1046 235 Ln 1046 235 1044 245 Ln 1044 245 1044 251 Ln 1044 251 1046 260 Ln 1046 260 1050 266 Ln 1050 266 1056 269 Ln 1056 269 1060 269 Ln 1060 269 1066 266 Ln 1066 266 1070 260 Ln 1070 260 1071 251 Ln 1071 251 1071 245 Ln 1071 245 1070 235 Ln 1070 235 1066 229 Ln 1066 229 1060 227 Ln 1060 227 1056 227 Ln 1056 227 1051 229 Ln 1051 229 1050 231 Ln 1050 231 1048 235 Ln 1048 235 1046 245 Ln 1046 245 1046 251 Ln 1046 251 1048 260 Ln 1048 260 1050 265 Ln 1050 265 1051 266 Ln 1051 266 1056 269 Ln 1060 269 1063 266 Ln 1063 266 1066 265 Ln 1066 265 1067 260 Ln 1067 260 1070 251 Ln 1070 251 1070 245 Ln 1070 245 1067 235 Ln 1067 235 1066 231 Ln 1066 231 1063 229 Ln 1063 229 1060 227 Ln 1504 301 1504 286 Ln 1504 1938 1504 1953 Ln 1587 301 1587 286 Ln 1587 1938 1587 1953 Ln 1670 301 1670 286 Ln 1670 1938 1670 1953 Ln 1753 301 1753 286 Ln 1753 1938 1753 1953 Ln 1421 301 1421 278 Ln 1421 1938 1421 1961 Ln 1367 227 1360 229 Ln 1360 229 1356 235 Ln 1356 235 1354 245 Ln 1354 245 1354 251 Ln 1354 251 1356 260 Ln 1356 260 1360 266 Ln 1360 266 1367 269 Ln 1367 269 1370 269 Ln 1370 269 1376 266 Ln 1376 266 1380 260 Ln 1380 260 1382 251 Ln 1382 251 1382 245 Ln 1382 245 1380 235 Ln 1380 235 1376 229 Ln 1376 229 1370 227 Ln 1370 227 1367 227 Ln 1367 227 1362 229 Ln 1362 229 1360 231 Ln 1360 231 1358 235 Ln 1358 235 1356 245 Ln 1356 245 1356 251 Ln 1356 251 1358 260 Ln 1358 260 1360 265 Ln 1360 265 1362 266 Ln 1362 266 1367 269 Ln 1370 269 1374 266 Ln 1374 266 1376 265 Ln 1376 265 1378 260 Ln 1378 260 1380 251 Ln 1380 251 1380 245 Ln 1380 245 1378 235 Ln 1378 235 1376 231 Ln 1376 231 1374 229 Ln 1374 229 1370 227 Ln 1400 265 1398 266 Ln 1398 266 1400 269 Ln 1400 269 1401 266 Ln 1401 266 1400 265 Ln 1420 235 1422 237 Ln 1422 237 1420 239 Ln 1420 239 1417 237 Ln 1417 237 1417 235 Ln 1417 235 1420 231 Ln 1420 231 1422 229 Ln 1422 229 1428 227 Ln 1428 227 1436 227 Ln 1436 227 1442 229 Ln 1442 229 1444 231 Ln 1444 231 1446 235 Ln 1446 235 1446 239 Ln 1446 239 1444 244 Ln 1444 244 1437 247 Ln 1437 247 1428 251 Ln 1428 251 1423 253 Ln 1423 253 1420 257 Ln 1420 257 1417 263 Ln 1417 263 1417 269 Ln 1436 227 1440 229 Ln 1440 229 1442 231 Ln 1442 231 1444 235 Ln 1444 235 1444 239 Ln 1444 239 1442 244 Ln 1442 244 1436 247 Ln 1436 247 1428 251 Ln 1417 265 1420 263 Ln 1420 263 1423 263 Ln 1423 263 1434 266 Ln 1434 266 1440 266 Ln 1440 266 1444 265 Ln 1444 265 1446 263 Ln 1423 263 1434 269 Ln 1434 269 1442 269 Ln 1442 269 1444 266 Ln 1444 266 1446 263 Ln 1446 263 1446 259 Ln 1464 227 1459 247 Ln 1459 247 1464 244 Ln 1464 244 1470 241 Ln 1470 241 1476 241 Ln 1476 241 1482 244 Ln 1482 244 1486 247 Ln 1486 247 1487 253 Ln 1487 253 1487 257 Ln 1487 257 1486 263 Ln 1486 263 1482 266 Ln 1482 266 1476 269 Ln 1476 269 1470 269 Ln 1470 269 1464 266 Ln 1464 266 1462 265 Ln 1462 265 1459 260 Ln 1459 260 1459 259 Ln 1459 259 1462 257 Ln 1462 257 1464 259 Ln 1464 259 1462 260 Ln 1476 241 1479 244 Ln 1479 244 1483 247 Ln 1483 247 1486 253 Ln 1486 253 1486 257 Ln 1486 257 1483 263 Ln 1483 263 1479 266 Ln 1479 266 1476 269 Ln 1464 227 1483 227 Ln 1464 229 1473 229 Ln 1473 229 1483 227 Ln 1920 301 1920 286 Ln 1920 1938 1920 1953 Ln 2003 301 2003 286 Ln 2003 1938 2003 1953 Ln 2086 301 2086 286 Ln 2086 1938 2086 1953 Ln 2168 301 2168 286 Ln 2168 1938 2168 1953 Ln 1838 301 1838 278 Ln 1838 1938 1838 1961 Ln 1782 227 1776 229 Ln 1776 229 1772 235 Ln 1772 235 1770 245 Ln 1770 245 1770 251 Ln 1770 251 1772 260 Ln 1772 260 1776 266 Ln 1776 266 1782 269 Ln 1782 269 1786 269 Ln 1786 269 1792 266 Ln 1792 266 1796 260 Ln 1796 260 1798 251 Ln 1798 251 1798 245 Ln 1798 245 1796 235 Ln 1796 235 1792 229 Ln 1792 229 1786 227 Ln 1786 227 1782 227 Ln 1782 227 1778 229 Ln 1778 229 1776 231 Ln 1776 231 1774 235 Ln 1774 235 1772 245 Ln 1772 245 1772 251 Ln 1772 251 1774 260 Ln 1774 260 1776 265 Ln 1776 265 1778 266 Ln 1778 266 1782 269 Ln 1786 269 1790 266 Ln 1790 266 1792 265 Ln 1792 265 1794 260 Ln 1794 260 1796 251 Ln 1796 251 1796 245 Ln 1796 245 1794 235 Ln 1794 235 1792 231 Ln 1792 231 1790 229 Ln 1790 229 1786 227 Ln 1816 265 1814 266 Ln 1814 266 1816 269 Ln 1816 269 1818 266 Ln 1818 266 1816 265 Ln 1838 227 1833 247 Ln 1833 247 1838 244 Ln 1838 244 1844 241 Ln 1844 241 1850 241 Ln 1850 241 1856 244 Ln 1856 244 1860 247 Ln 1860 247 1862 253 Ln 1862 253 1862 257 Ln 1862 257 1860 263 Ln 1860 263 1856 266 Ln 1856 266 1850 269 Ln 1850 269 1844 269 Ln 1844 269 1838 266 Ln 1838 266 1836 265 Ln 1836 265 1833 260 Ln 1833 260 1833 259 Ln 1833 259 1836 257 Ln 1836 257 1838 259 Ln 1838 259 1836 260 Ln 1850 241 1853 244 Ln 1853 244 1858 247 Ln 1858 247 1860 253 Ln 1860 253 1860 257 Ln 1860 257 1858 263 Ln 1858 263 1853 266 Ln 1853 266 1850 269 Ln 1838 227 1858 227 Ln 1838 229 1848 229 Ln 1848 229 1858 227 Ln 1888 227 1881 229 Ln 1881 229 1878 235 Ln 1878 235 1875 245 Ln 1875 245 1875 251 Ln 1875 251 1878 260 Ln 1878 260 1881 266 Ln 1881 266 1888 269 Ln 1888 269 1892 269 Ln 1892 269 1898 266 Ln 1898 266 1902 260 Ln 1902 260 1904 251 Ln 1904 251 1904 245 Ln 1904 245 1902 235 Ln 1902 235 1898 229 Ln 1898 229 1892 227 Ln 1892 227 1888 227 Ln 1888 227 1884 229 Ln 1884 229 1881 231 Ln 1881 231 1880 235 Ln 1880 235 1878 245 Ln 1878 245 1878 251 Ln 1878 251 1880 260 Ln 1880 260 1881 265 Ln 1881 265 1884 266 Ln 1884 266 1888 269 Ln 1892 269 1895 266 Ln 1895 266 1898 265 Ln 1898 265 1899 260 Ln 1899 260 1902 251 Ln 1902 251 1902 245 Ln 1902 245 1899 235 Ln 1899 235 1898 231 Ln 1898 231 1895 229 Ln 1895 229 1892 227 Ln 2336 301 2336 286 Ln 2336 1938 2336 1953 Ln 2419 301 2419 286 Ln 2419 1938 2419 1953 Ln 2502 301 2502 286 Ln 2502 1938 2502 1953 Ln 2584 301 2584 286 Ln 2584 1938 2584 1953 Ln 2254 301 2254 278 Ln 2254 1938 2254 1961 Ln 2198 227 2192 229 Ln 2192 229 2188 235 Ln 2188 235 2186 245 Ln 2186 245 2186 251 Ln 2186 251 2188 260 Ln 2188 260 2192 266 Ln 2192 266 2198 269 Ln 2198 269 2202 269 Ln 2202 269 2208 266 Ln 2208 266 2212 260 Ln 2212 260 2214 251 Ln 2214 251 2214 245 Ln 2214 245 2212 235 Ln 2212 235 2208 229 Ln 2208 229 2202 227 Ln 2202 227 2198 227 Ln 2198 227 2194 229 Ln 2194 229 2192 231 Ln 2192 231 2190 235 Ln 2190 235 2188 245 Ln 2188 245 2188 251 Ln 2188 251 2190 260 Ln 2190 260 2192 265 Ln 2192 265 2194 266 Ln 2194 266 2198 269 Ln 2202 269 2206 266 Ln 2206 266 2208 265 Ln 2208 265 2210 260 Ln 2210 260 2212 251 Ln 2212 251 2212 245 Ln 2212 245 2210 235 Ln 2210 235 2208 231 Ln 2208 231 2206 229 Ln 2206 229 2202 227 Ln 2232 265 2230 266 Ln 2230 266 2232 269 Ln 2232 269 2234 266 Ln 2234 266 2232 265 Ln 2249 227 2249 239 Ln 2249 235 2252 231 Ln 2252 231 2255 227 Ln 2255 227 2260 227 Ln 2260 227 2269 233 Ln 2269 233 2274 233 Ln 2274 233 2276 231 Ln 2276 231 2278 227 Ln 2252 231 2255 229 Ln 2255 229 2260 229 Ln 2260 229 2269 233 Ln 2278 227 2278 233 Ln 2278 233 2276 239 Ln 2276 239 2268 249 Ln 2268 249 2266 253 Ln 2266 253 2264 259 Ln 2264 259 2264 269 Ln 2276 239 2266 249 Ln 2266 249 2264 253 Ln 2264 253 2262 259 Ln 2262 259 2262 269 Ln 2295 227 2291 247 Ln 2291 247 2295 244 Ln 2295 244 2301 241 Ln 2301 241 2307 241 Ln 2307 241 2313 244 Ln 2313 244 2318 247 Ln 2318 247 2319 253 Ln 2319 253 2319 257 Ln 2319 257 2318 263 Ln 2318 263 2313 266 Ln 2313 266 2307 269 Ln 2307 269 2301 269 Ln 2301 269 2295 266 Ln 2295 266 2294 265 Ln 2294 265 2291 260 Ln 2291 260 2291 259 Ln 2291 259 2294 257 Ln 2294 257 2295 259 Ln 2295 259 2294 260 Ln 2307 241 2311 244 Ln 2311 244 2315 247 Ln 2315 247 2318 253 Ln 2318 253 2318 257 Ln 2318 257 2315 263 Ln 2315 263 2311 266 Ln 2311 266 2307 269 Ln 2295 227 2315 227 Ln 2295 229 2305 229 Ln 2305 229 2315 227 Ln 2669 301 2669 278 Ln 2669 1938 2669 1961 Ln 2608 235 2612 233 Ln 2612 233 2618 227 Ln 2618 227 2618 269 Ln 2616 229 2616 269 Ln 2608 269 2626 269 Ln 2648 265 2646 266 Ln 2646 266 2648 269 Ln 2648 269 2650 266 Ln 2650 266 2648 265 Ln 2678 227 2671 229 Ln 2671 229 2668 235 Ln 2668 235 2666 245 Ln 2666 245 2666 251 Ln 2666 251 2668 260 Ln 2668 260 2671 266 Ln 2671 266 2678 269 Ln 2678 269 2681 269 Ln 2681 269 2687 266 Ln 2687 266 2692 260 Ln 2692 260 2693 251 Ln 2693 251 2693 245 Ln 2693 245 2692 235 Ln 2692 235 2687 229 Ln 2687 229 2681 227 Ln 2681 227 2678 227 Ln 2678 227 2674 229 Ln 2674 229 2671 231 Ln 2671 231 2670 235 Ln 2670 235 2668 245 Ln 2668 245 2668 251 Ln 2668 251 2670 260 Ln 2670 260 2671 265 Ln 2671 265 2674 266 Ln 2674 266 2678 269 Ln 2681 269 2686 266 Ln 2686 266 2687 265 Ln 2687 265 2690 260 Ln 2690 260 2692 251 Ln 2692 251 2692 245 Ln 2692 245 2690 235 Ln 2690 235 2687 231 Ln 2687 231 2686 229 Ln 2686 229 2681 227 Ln 2720 227 2713 229 Ln 2713 229 2710 235 Ln 2710 235 2707 245 Ln 2707 245 2707 251 Ln 2707 251 2710 260 Ln 2710 260 2713 266 Ln 2713 266 2720 269 Ln 2720 269 2723 269 Ln 2723 269 2729 266 Ln 2729 266 2734 260 Ln 2734 260 2735 251 Ln 2735 251 2735 245 Ln 2735 245 2734 235 Ln 2734 235 2729 229 Ln 2729 229 2723 227 Ln 2723 227 2720 227 Ln 2720 227 2716 229 Ln 2716 229 2713 231 Ln 2713 231 2712 235 Ln 2712 235 2710 245 Ln 2710 245 2710 251 Ln 2710 251 2712 260 Ln 2712 260 2713 265 Ln 2713 265 2716 266 Ln 2716 266 2720 269 Ln 2723 269 2727 266 Ln 2727 266 2729 265 Ln 2729 265 2731 260 Ln 2731 260 2734 251 Ln 2734 251 2734 245 Ln 2734 245 2731 235 Ln 2731 235 2729 231 Ln 2729 231 2727 229 Ln 2727 229 2723 227 Ln 1 SLW 790 184 741 184 Ln 790 186 741 186 Ln 790 176 790 205 Ln 790 205 788 211 Ln 788 211 785 213 Ln 785 213 780 215 Ln 780 215 774 215 Ln 774 215 769 213 Ln 769 213 767 211 Ln 767 211 764 205 Ln 764 205 764 186 Ln 790 205 788 209 Ln 788 209 785 211 Ln 785 211 780 213 Ln 780 213 774 213 Ln 774 213 769 211 Ln 769 211 767 209 Ln 767 209 764 205 Ln 741 176 741 193 Ln 774 245 771 238 Ln 771 238 767 234 Ln 767 234 759 232 Ln 759 232 755 232 Ln 755 232 749 234 Ln 749 234 743 238 Ln 743 238 741 245 Ln 741 245 741 250 Ln 741 250 743 257 Ln 743 257 749 262 Ln 749 262 755 263 Ln 755 263 759 263 Ln 759 263 767 262 Ln 767 262 771 257 Ln 771 257 774 250 Ln 774 250 774 245 Ln 774 245 771 241 Ln 771 241 767 236 Ln 767 236 759 234 Ln 759 234 755 234 Ln 755 234 749 236 Ln 749 236 743 241 Ln 743 241 741 245 Ln 741 250 743 254 Ln 743 254 749 259 Ln 749 259 755 262 Ln 755 262 759 262 Ln 759 262 767 259 Ln 767 259 771 254 Ln 771 254 774 250 Ln 769 302 774 305 Ln 774 305 764 305 Ln 764 305 769 302 Ln 769 302 771 301 Ln 771 301 774 296 Ln 774 296 774 287 Ln 774 287 771 283 Ln 771 283 769 280 Ln 769 280 764 280 Ln 764 280 762 283 Ln 762 283 759 287 Ln 759 287 755 298 Ln 755 298 753 302 Ln 753 302 750 305 Ln 767 280 764 283 Ln 764 283 762 287 Ln 762 287 757 298 Ln 757 298 755 302 Ln 755 302 753 305 Ln 753 305 746 305 Ln 746 305 743 302 Ln 743 302 741 298 Ln 741 298 741 289 Ln 741 289 743 284 Ln 743 284 746 283 Ln 746 283 750 280 Ln 750 280 741 280 Ln 741 280 746 283 Ln 769 344 774 346 Ln 774 346 764 346 Ln 764 346 769 344 Ln 769 344 771 341 Ln 771 341 774 337 Ln 774 337 774 328 Ln 774 328 771 323 Ln 771 323 769 321 Ln 769 321 764 321 Ln 764 321 762 323 Ln 762 323 759 328 Ln 759 328 755 340 Ln 755 340 753 344 Ln 753 344 750 346 Ln 767 321 764 323 Ln 764 323 762 328 Ln 762 328 757 340 Ln 757 340 755 344 Ln 755 344 753 346 Ln 753 346 746 346 Ln 746 346 743 344 Ln 743 344 741 340 Ln 741 340 741 330 Ln 741 330 743 326 Ln 743 326 746 323 Ln 746 323 750 321 Ln 750 321 741 321 Ln 741 321 746 323 Ln 790 367 788 365 Ln 788 365 785 367 Ln 785 367 788 369 Ln 788 369 790 367 Ln 774 367 741 367 Ln 774 369 741 369 Ln 774 359 774 369 Ln 741 359 741 376 Ln 790 394 741 394 Ln 790 396 741 396 Ln 767 396 771 401 Ln 771 401 774 406 Ln 774 406 774 410 Ln 774 410 771 417 Ln 771 417 767 421 Ln 767 421 759 424 Ln 759 424 755 424 Ln 755 424 749 421 Ln 749 421 743 417 Ln 743 417 741 410 Ln 741 410 741 406 Ln 741 406 743 401 Ln 743 401 749 396 Ln 774 410 771 415 Ln 771 415 767 419 Ln 767 419 759 421 Ln 759 421 755 421 Ln 755 421 749 419 Ln 749 419 743 415 Ln 743 415 741 410 Ln 790 387 790 396 Ln 790 444 741 444 Ln 790 446 741 446 Ln 790 437 790 446 Ln 741 437 741 454 Ln 759 470 759 497 Ln 759 497 764 497 Ln 764 497 769 495 Ln 769 495 771 493 Ln 771 493 774 488 Ln 774 488 774 481 Ln 774 481 771 474 Ln 771 474 767 470 Ln 767 470 759 467 Ln 759 467 755 467 Ln 755 467 749 470 Ln 749 470 743 474 Ln 743 474 741 481 Ln 741 481 741 485 Ln 741 485 743 493 Ln 743 493 749 497 Ln 759 495 767 495 Ln 767 495 771 493 Ln 774 481 771 476 Ln 771 476 767 472 Ln 767 472 759 470 Ln 759 470 755 470 Ln 755 470 749 472 Ln 749 472 743 476 Ln 743 476 741 481 Ln 790 561 741 561 Ln 790 563 741 563 Ln 790 554 790 582 Ln 790 582 788 588 Ln 788 588 785 591 Ln 785 591 780 593 Ln 780 593 776 593 Ln 776 593 771 591 Ln 771 591 769 588 Ln 769 588 767 582 Ln 790 582 788 587 Ln 788 587 785 588 Ln 785 588 780 591 Ln 780 591 776 591 Ln 776 591 771 588 Ln 771 588 769 587 Ln 769 587 767 582 Ln 767 563 767 582 Ln 767 582 764 588 Ln 764 588 762 591 Ln 762 591 757 593 Ln 757 593 750 593 Ln 750 593 746 591 Ln 746 591 743 588 Ln 743 588 741 582 Ln 741 582 741 554 Ln 767 582 764 587 Ln 764 587 762 588 Ln 762 588 757 591 Ln 757 591 750 591 Ln 750 591 746 588 Ln 746 588 743 587 Ln 743 587 741 582 Ln 790 614 741 614 Ln 790 617 741 617 Ln 790 607 790 617 Ln 741 607 741 624 Ln 769 642 767 642 Ln 767 642 767 639 Ln 767 639 769 639 Ln 769 639 771 642 Ln 771 642 774 646 Ln 774 646 774 656 Ln 774 656 771 660 Ln 771 660 769 663 Ln 769 663 764 665 Ln 764 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771 1304 769 1304 Ln 769 1304 767 1303 Ln 767 1303 769 1300 Ln 769 1300 771 1303 Ln 774 1274 774 1283 Ln 741 1274 741 1291 Ln 790 1366 741 1366 Ln 790 1368 741 1368 Ln 790 1358 790 1382 Ln 790 1382 788 1389 Ln 788 1389 783 1393 Ln 783 1393 779 1396 Ln 779 1396 771 1397 Ln 771 1397 759 1397 Ln 759 1397 753 1396 Ln 753 1396 749 1393 Ln 749 1393 743 1389 Ln 743 1389 741 1382 Ln 741 1382 741 1358 Ln 790 1382 788 1387 Ln 788 1387 783 1391 Ln 783 1391 779 1393 Ln 779 1393 771 1396 Ln 771 1396 759 1396 Ln 759 1396 753 1393 Ln 753 1393 749 1391 Ln 749 1391 743 1387 Ln 743 1387 741 1382 Ln 759 1416 759 1444 Ln 759 1444 764 1444 Ln 764 1444 769 1442 Ln 769 1442 771 1439 Ln 771 1439 774 1434 Ln 774 1434 774 1428 Ln 774 1428 771 1421 Ln 771 1421 767 1416 Ln 767 1416 759 1414 Ln 759 1414 755 1414 Ln 755 1414 749 1416 Ln 749 1416 743 1421 Ln 743 1421 741 1428 Ln 741 1428 741 1432 Ln 741 1432 743 1439 Ln 743 1439 749 1444 Ln 759 1442 767 1442 Ln 767 1442 771 1439 Ln 774 1428 771 1423 Ln 771 1423 767 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780 1838 Ln 780 1838 776 1838 Ln 776 1838 771 1836 Ln 771 1836 769 1833 Ln 769 1833 767 1827 Ln 790 1827 788 1831 Ln 788 1831 785 1833 Ln 785 1833 780 1836 Ln 780 1836 776 1836 Ln 776 1836 771 1833 Ln 771 1833 769 1831 Ln 769 1831 767 1827 Ln 767 1808 767 1827 Ln 767 1827 764 1833 Ln 764 1833 762 1836 Ln 762 1836 757 1838 Ln 757 1838 750 1838 Ln 750 1838 746 1836 Ln 746 1836 743 1833 Ln 743 1833 741 1827 Ln 741 1827 741 1799 Ln 767 1827 764 1831 Ln 764 1831 762 1833 Ln 762 1833 757 1836 Ln 757 1836 750 1836 Ln 750 1836 746 1833 Ln 746 1833 743 1831 Ln 743 1831 741 1827 Ln 790 1858 788 1857 Ln 788 1857 785 1858 Ln 785 1858 788 1861 Ln 788 1861 790 1858 Ln 774 1858 741 1858 Ln 774 1861 741 1861 Ln 774 1851 774 1861 Ln 741 1851 741 1868 Ln 769 1905 774 1908 Ln 774 1908 764 1908 Ln 764 1908 769 1905 Ln 769 1905 771 1902 Ln 771 1902 774 1898 Ln 774 1898 774 1889 Ln 774 1889 771 1884 Ln 771 1884 769 1882 Ln 769 1882 764 1882 Ln 764 1882 762 1884 Ln 762 1884 759 1889 Ln 759 1889 755 1900 Ln 755 1900 753 1905 Ln 753 1905 750 1908 Ln 767 1882 764 1884 Ln 764 1884 762 1889 Ln 762 1889 757 1900 Ln 757 1900 755 1905 Ln 755 1905 753 1908 Ln 753 1908 746 1908 Ln 746 1908 743 1905 Ln 743 1905 741 1900 Ln 741 1900 741 1891 Ln 741 1891 743 1887 Ln 743 1887 746 1884 Ln 746 1884 750 1882 Ln 750 1882 741 1882 Ln 741 1882 746 1884 Ln 790 1927 741 1927 Ln 790 1930 741 1930 Ln 767 1930 771 1934 Ln 771 1934 774 1941 Ln 774 1941 774 1945 Ln 774 1945 771 1953 Ln 771 1953 767 1955 Ln 767 1955 741 1955 Ln 774 1945 771 1951 Ln 771 1951 767 1953 Ln 767 1953 741 1953 Ln 790 1920 790 1930 Ln 741 1920 741 1937 Ln 741 1945 741 1962 Ln 774 1990 771 1983 Ln 771 1983 767 1978 Ln 767 1978 759 1976 Ln 759 1976 755 1976 Ln 755 1976 749 1978 Ln 749 1978 743 1983 Ln 743 1983 741 1990 Ln 741 1990 741 1994 Ln 741 1994 743 2001 Ln 743 2001 749 2005 Ln 749 2005 755 2008 Ln 755 2008 759 2008 Ln 759 2008 767 2005 Ln 767 2005 771 2001 Ln 771 2001 774 1994 Ln 774 1994 774 1990 Ln 774 1990 771 1984 Ln 771 1984 767 1980 Ln 767 1980 759 1978 Ln 759 1978 755 1978 Ln 755 1978 749 1980 Ln 749 1980 743 1984 Ln 743 1984 741 1990 Ln 741 1994 743 1998 Ln 743 1998 749 2004 Ln 749 2004 755 2005 Ln 755 2005 759 2005 Ln 759 2005 767 2004 Ln 767 2004 771 1998 Ln 771 1998 774 1994 Ln 774 2029 726 2029 Ln 774 2031 726 2031 Ln 767 2031 771 2035 Ln 771 2035 774 2040 Ln 774 2040 774 2044 Ln 774 2044 771 2052 Ln 771 2052 767 2056 Ln 767 2056 759 2058 Ln 759 2058 755 2058 Ln 755 2058 749 2056 Ln 749 2056 743 2052 Ln 743 2052 741 2044 Ln 741 2044 741 2040 Ln 741 2040 743 2035 Ln 743 2035 749 2031 Ln 774 2044 771 2049 Ln 771 2049 767 2054 Ln 767 2054 759 2056 Ln 759 2056 755 2056 Ln 755 2056 749 2054 Ln 749 2054 743 2049 Ln 743 2049 741 2044 Ln 774 2022 774 2031 Ln 726 2022 726 2038 Ln 888 55 888 104 Ln 891 55 891 104 Ln 881 55 909 55 Ln 909 55 916 58 Ln 916 58 918 61 Ln 918 61 921 65 Ln 921 65 921 71 Ln 921 71 918 76 Ln 918 76 916 79 Ln 916 79 909 81 Ln 909 81 891 81 Ln 909 55 914 58 Ln 914 58 916 61 Ln 916 61 918 65 Ln 918 65 918 71 Ln 918 71 916 76 Ln 916 76 914 79 Ln 914 79 909 81 Ln 881 104 898 104 Ln 951 71 944 74 Ln 944 74 939 79 Ln 939 79 937 86 Ln 937 86 937 90 Ln 937 90 939 97 Ln 939 97 944 101 Ln 944 101 951 104 Ln 951 104 955 104 Ln 955 104 963 101 Ln 963 101 967 97 Ln 967 97 970 90 Ln 970 90 970 86 Ln 970 86 967 79 Ln 967 79 963 74 Ln 963 74 955 71 Ln 955 71 951 71 Ln 951 71 946 74 Ln 946 74 942 79 Ln 942 79 939 86 Ln 939 86 939 90 Ln 939 90 942 97 Ln 942 97 946 101 Ln 946 101 951 104 Ln 955 104 960 101 Ln 960 101 965 97 Ln 965 97 967 90 Ln 967 90 967 86 Ln 967 86 965 79 Ln 965 79 960 74 Ln 960 74 955 71 Ln 1009 76 1012 71 Ln 1012 71 1012 81 Ln 1012 81 1009 76 Ln 1009 76 1007 74 Ln 1007 74 1003 71 Ln 1003 71 993 71 Ln 993 71 988 74 Ln 988 74 987 76 Ln 987 76 987 81 Ln 987 81 988 83 Ln 988 83 993 86 Ln 993 86 1005 90 Ln 1005 90 1009 92 Ln 1009 92 1012 94 Ln 987 79 988 81 Ln 988 81 993 83 Ln 993 83 1005 88 Ln 1005 88 1009 90 Ln 1009 90 1012 92 Ln 1012 92 1012 99 Ln 1012 99 1009 101 Ln 1009 101 1005 104 Ln 1005 104 995 104 Ln 995 104 991 101 Ln 991 101 988 99 Ln 988 99 987 94 Ln 987 94 987 104 Ln 987 104 988 99 Ln 1051 76 1054 71 Ln 1054 71 1054 81 Ln 1054 81 1051 76 Ln 1051 76 1049 74 Ln 1049 74 1044 71 Ln 1044 71 1035 71 Ln 1035 71 1030 74 Ln 1030 74 1028 76 Ln 1028 76 1028 81 Ln 1028 81 1030 83 Ln 1030 83 1035 86 Ln 1035 86 1047 90 Ln 1047 90 1051 92 Ln 1051 92 1054 94 Ln 1028 79 1030 81 Ln 1030 81 1035 83 Ln 1035 83 1047 88 Ln 1047 88 1051 90 Ln 1051 90 1054 92 Ln 1054 92 1054 99 Ln 1054 99 1051 101 Ln 1051 101 1047 104 Ln 1047 104 1037 104 Ln 1037 104 1033 101 Ln 1033 101 1030 99 Ln 1030 99 1028 94 Ln 1028 94 1028 104 Ln 1028 104 1030 99 Ln 1074 55 1072 58 Ln 1072 58 1074 61 Ln 1074 61 1076 58 Ln 1076 58 1074 55 Ln 1074 71 1074 104 Ln 1076 71 1076 104 Ln 1067 71 1076 71 Ln 1067 104 1084 104 Ln 1102 55 1102 104 Ln 1104 55 1104 104 Ln 1104 79 1109 74 Ln 1109 74 1114 71 Ln 1114 71 1118 71 Ln 1118 71 1126 74 Ln 1126 74 1130 79 Ln 1130 79 1132 86 Ln 1132 86 1132 90 Ln 1132 90 1130 97 Ln 1130 97 1126 101 Ln 1126 101 1118 104 Ln 1118 104 1114 104 Ln 1114 104 1109 101 Ln 1109 101 1104 97 Ln 1118 71 1123 74 Ln 1123 74 1127 79 Ln 1127 79 1130 86 Ln 1130 86 1130 90 Ln 1130 90 1127 97 Ln 1127 97 1123 101 Ln 1123 101 1118 104 Ln 1094 55 1104 55 Ln 1153 55 1153 104 Ln 1156 55 1156 104 Ln 1146 55 1156 55 Ln 1146 104 1163 104 Ln 1179 86 1207 86 Ln 1207 86 1207 81 Ln 1207 81 1205 76 Ln 1205 76 1202 74 Ln 1202 74 1198 71 Ln 1198 71 1191 71 Ln 1191 71 1183 74 Ln 1183 74 1179 79 Ln 1179 79 1177 86 Ln 1177 86 1177 90 Ln 1177 90 1179 97 Ln 1179 97 1183 101 Ln 1183 101 1191 104 Ln 1191 104 1195 104 Ln 1195 104 1202 101 Ln 1202 101 1207 97 Ln 1205 86 1205 79 Ln 1205 79 1202 74 Ln 1191 71 1186 74 Ln 1186 74 1181 79 Ln 1181 79 1179 86 Ln 1179 86 1179 90 Ln 1179 90 1181 97 Ln 1181 97 1186 101 Ln 1186 101 1191 104 Ln 1271 55 1279 104 Ln 1272 55 1279 92 Ln 1289 55 1279 104 Ln 1289 55 1298 104 Ln 1291 55 1298 92 Ln 1308 55 1298 104 Ln 1263 55 1279 55 Ln 1301 55 1314 55 Ln 1331 55 1331 104 Ln 1333 55 1333 104 Ln 1333 79 1337 74 Ln 1337 74 1344 71 Ln 1344 71 1349 71 Ln 1349 71 1356 74 Ln 1356 74 1358 79 Ln 1358 79 1358 104 Ln 1349 71 1354 74 Ln 1354 74 1356 79 Ln 1356 79 1356 104 Ln 1323 55 1333 55 Ln 1323 104 1340 104 Ln 1349 104 1366 104 Ln 1384 55 1382 58 Ln 1382 58 1384 61 Ln 1384 61 1386 58 Ln 1386 58 1384 55 Ln 1384 71 1384 104 Ln 1386 71 1386 104 Ln 1377 71 1386 71 Ln 1377 104 1394 104 Ln 1412 55 1412 94 Ln 1412 94 1414 101 Ln 1414 101 1419 104 Ln 1419 104 1423 104 Ln 1423 104 1428 101 Ln 1428 101 1430 97 Ln 1414 55 1414 94 Ln 1414 94 1416 101 Ln 1416 101 1419 104 Ln 1404 71 1423 71 Ln 1447 86 1475 86 Ln 1475 86 1475 81 Ln 1475 81 1473 76 Ln 1473 76 1470 74 Ln 1470 74 1465 71 Ln 1465 71 1459 71 Ln 1459 71 1452 74 Ln 1452 74 1447 79 Ln 1447 79 1445 86 Ln 1445 86 1445 90 Ln 1445 90 1447 97 Ln 1447 97 1452 101 Ln 1452 101 1459 104 Ln 1459 104 1463 104 Ln 1463 104 1470 101 Ln 1470 101 1475 97 Ln 1473 86 1473 79 Ln 1473 79 1470 74 Ln 1459 71 1453 74 Ln 1453 74 1449 79 Ln 1449 79 1447 86 Ln 1447 86 1447 90 Ln 1447 90 1449 97 Ln 1449 97 1453 101 Ln 1453 101 1459 104 Ln 1566 63 1568 55 Ln 1568 55 1568 69 Ln 1568 69 1566 63 Ln 1566 63 1561 58 Ln 1561 58 1554 55 Ln 1554 55 1546 55 Ln 1546 55 1540 58 Ln 1540 58 1536 63 Ln 1536 63 1536 67 Ln 1536 67 1538 71 Ln 1538 71 1540 74 Ln 1540 74 1545 76 Ln 1545 76 1558 81 Ln 1558 81 1564 83 Ln 1564 83 1568 88 Ln 1536 67 1540 71 Ln 1540 71 1545 74 Ln 1545 74 1558 79 Ln 1558 79 1564 81 Ln 1564 81 1566 83 Ln 1566 83 1568 88 Ln 1568 88 1568 97 Ln 1568 97 1564 101 Ln 1564 101 1556 104 Ln 1556 104 1549 104 Ln 1549 104 1542 101 Ln 1542 101 1538 97 Ln 1538 97 1536 90 Ln 1536 90 1536 104 Ln 1536 104 1538 97 Ln 1589 71 1589 97 Ln 1589 97 1591 101 Ln 1591 101 1598 104 Ln 1598 104 1603 104 Ln 1603 104 1610 101 Ln 1610 101 1615 97 Ln 1591 71 1591 97 Ln 1591 97 1594 101 Ln 1594 101 1598 104 Ln 1615 71 1615 104 Ln 1617 71 1617 104 Ln 1582 71 1591 71 Ln 1607 71 1617 71 Ln 1615 104 1624 104 Ln 1642 71 1642 119 Ln 1645 71 1645 119 Ln 1645 79 1649 74 Ln 1649 74 1654 71 Ln 1654 71 1658 71 Ln 1658 71 1666 74 Ln 1666 74 1670 79 Ln 1670 79 1673 86 Ln 1673 86 1673 90 Ln 1673 90 1670 97 Ln 1670 97 1666 101 Ln 1666 101 1658 104 Ln 1658 104 1654 104 Ln 1654 104 1649 101 Ln 1649 101 1645 97 Ln 1658 71 1664 74 Ln 1664 74 1668 79 Ln 1668 79 1670 86 Ln 1670 86 1670 90 Ln 1670 90 1668 97 Ln 1668 97 1664 101 Ln 1664 101 1658 104 Ln 1635 71 1645 71 Ln 1635 119 1652 119 Ln 1694 71 1694 119 Ln 1696 71 1696 119 Ln 1696 79 1700 74 Ln 1700 74 1706 71 Ln 1706 71 1710 71 Ln 1710 71 1717 74 Ln 1717 74 1721 79 Ln 1721 79 1724 86 Ln 1724 86 1724 90 Ln 1724 90 1721 97 Ln 1721 97 1717 101 Ln 1717 101 1710 104 Ln 1710 104 1706 104 Ln 1706 104 1700 101 Ln 1700 101 1696 97 Ln 1710 71 1715 74 Ln 1715 74 1720 79 Ln 1720 79 1721 86 Ln 1721 86 1721 90 Ln 1721 90 1720 97 Ln 1720 97 1715 101 Ln 1715 101 1710 104 Ln 1687 71 1696 71 Ln 1687 119 1703 119 Ln 1754 71 1747 74 Ln 1747 74 1743 79 Ln 1743 79 1741 86 Ln 1741 86 1741 90 Ln 1741 90 1743 97 Ln 1743 97 1747 101 Ln 1747 101 1754 104 Ln 1754 104 1759 104 Ln 1759 104 1766 101 Ln 1766 101 1770 97 Ln 1770 97 1773 90 Ln 1773 90 1773 86 Ln 1773 86 1770 79 Ln 1770 79 1766 74 Ln 1766 74 1759 71 Ln 1759 71 1754 71 Ln 1754 71 1750 74 Ln 1750 74 1745 79 Ln 1745 79 1743 86 Ln 1743 86 1743 90 Ln 1743 90 1745 97 Ln 1745 97 1750 101 Ln 1750 101 1754 104 Ln 1759 104 1763 101 Ln 1763 101 1769 97 Ln 1769 97 1770 90 Ln 1770 90 1770 86 Ln 1770 86 1769 79 Ln 1769 79 1763 74 Ln 1763 74 1759 71 Ln 1794 71 1794 104 Ln 1796 71 1796 104 Ln 1796 86 1799 79 Ln 1799 79 1803 74 Ln 1803 74 1808 71 Ln 1808 71 1815 71 Ln 1815 71 1818 74 Ln 1818 74 1818 76 Ln 1818 76 1815 79 Ln 1815 79 1812 76 Ln 1812 76 1815 74 Ln 1787 71 1796 71 Ln 1787 104 1803 104 Ln 1836 55 1836 94 Ln 1836 94 1839 101 Ln 1839 101 1843 104 Ln 1843 104 1848 104 Ln 1848 104 1853 101 Ln 1853 101 1855 97 Ln 1839 55 1839 94 Ln 1839 94 1841 101 Ln 1841 101 1843 104 Ln 1829 71 1848 71 Ln 1929 58 1928 61 Ln 1928 61 1929 63 Ln 1929 63 1932 61 Ln 1932 61 1932 58 Ln 1932 58 1929 55 Ln 1929 55 1925 55 Ln 1925 55 1920 58 Ln 1920 58 1918 63 Ln 1918 63 1918 104 Ln 1925 55 1922 58 Ln 1922 58 1920 63 Ln 1920 63 1920 104 Ln 1911 71 1929 71 Ln 1911 104 1928 104 Ln 1960 71 1952 74 Ln 1952 74 1948 79 Ln 1948 79 1945 86 Ln 1945 86 1945 90 Ln 1945 90 1948 97 Ln 1948 97 1952 101 Ln 1952 101 1960 104 Ln 1960 104 1964 104 Ln 1964 104 1971 101 Ln 1971 101 1975 97 Ln 1975 97 1978 90 Ln 1978 90 1978 86 Ln 1978 86 1975 79 Ln 1975 79 1971 74 Ln 1971 74 1964 71 Ln 1964 71 1960 71 Ln 1960 71 1954 74 Ln 1954 74 1950 79 Ln 1950 79 1948 86 Ln 1948 86 1948 90 Ln 1948 90 1950 97 Ln 1950 97 1954 101 Ln 1954 101 1960 104 Ln 1964 104 1968 101 Ln 1968 101 1974 97 Ln 1974 97 1975 90 Ln 1975 90 1975 86 Ln 1975 86 1974 79 Ln 1974 79 1968 74 Ln 1968 74 1964 71 Ln 1999 71 1999 104 Ln 2001 71 2001 104 Ln 2001 86 2004 79 Ln 2004 79 2008 74 Ln 2008 74 2013 71 Ln 2013 71 2020 71 Ln 2020 71 2023 74 Ln 2023 74 2023 76 Ln 2023 76 2020 79 Ln 2020 79 2017 76 Ln 2017 76 2020 74 Ln 1992 71 2001 71 Ln 1992 104 2008 104 Ln 2086 55 2086 104 Ln 2088 55 2088 104 Ln 2079 55 2102 55 Ln 2102 55 2109 58 Ln 2109 58 2113 63 Ln 2113 63 2116 67 Ln 2116 67 2118 74 Ln 2118 74 2118 86 Ln 2118 86 2116 92 Ln 2116 92 2113 97 Ln 2113 97 2109 101 Ln 2109 101 2102 104 Ln 2102 104 2079 104 Ln 2102 55 2107 58 Ln 2107 58 2112 63 Ln 2112 63 2113 67 Ln 2113 67 2116 74 Ln 2116 74 2116 86 Ln 2116 86 2113 92 Ln 2113 92 2112 97 Ln 2112 97 2107 101 Ln 2107 101 2102 104 Ln 2137 86 2165 86 Ln 2165 86 2165 81 Ln 2165 81 2162 76 Ln 2162 76 2160 74 Ln 2160 74 2155 71 Ln 2155 71 2149 71 Ln 2149 71 2141 74 Ln 2141 74 2137 79 Ln 2137 79 2135 86 Ln 2135 86 2135 90 Ln 2135 90 2137 97 Ln 2137 97 2141 101 Ln 2141 101 2149 104 Ln 2149 104 2153 104 Ln 2153 104 2160 101 Ln 2160 101 2165 97 Ln 2162 86 2162 79 Ln 2162 79 2160 74 Ln 2149 71 2143 74 Ln 2143 74 2139 79 Ln 2139 79 2137 86 Ln 2137 86 2137 90 Ln 2137 90 2139 97 Ln 2139 97 2143 101 Ln 2143 101 2149 104 Ln 2186 71 2186 104 Ln 2188 71 2188 104 Ln 2188 79 2192 74 Ln 2192 74 2200 71 Ln 2200 71 2204 71 Ln 2204 71 2212 74 Ln 2212 74 2214 79 Ln 2214 79 2214 104 Ln 2204 71 2209 74 Ln 2209 74 2212 79 Ln 2212 79 2212 104 Ln 2214 79 2218 74 Ln 2218 74 2225 71 Ln 2225 71 2230 71 Ln 2230 71 2237 74 Ln 2237 74 2239 79 Ln 2239 79 2239 104 Ln 2230 71 2235 74 Ln 2235 74 2237 79 Ln 2237 79 2237 104 Ln 2179 71 2188 71 Ln 2179 104 2195 104 Ln 2204 104 2221 104 Ln 2230 104 2247 104 Ln 2275 71 2267 74 Ln 2267 74 2263 79 Ln 2263 79 2261 86 Ln 2261 86 2261 90 Ln 2261 90 2263 97 Ln 2263 97 2267 101 Ln 2267 101 2275 104 Ln 2275 104 2279 104 Ln 2279 104 2287 101 Ln 2287 101 2291 97 Ln 2291 97 2293 90 Ln 2293 90 2293 86 Ln 2293 86 2291 79 Ln 2291 79 2287 74 Ln 2287 74 2279 71 Ln 2279 71 2275 71 Ln 2275 71 2269 74 Ln 2269 74 2265 79 Ln 2265 79 2263 86 Ln 2263 86 2263 90 Ln 2263 90 2265 97 Ln 2265 97 2269 101 Ln 2269 101 2275 104 Ln 2279 104 2284 101 Ln 2284 101 2288 97 Ln 2288 97 2291 90 Ln 2291 90 2291 86 Ln 2291 86 2288 79 Ln 2288 79 2284 74 Ln 2284 74 2279 71 Ln 2337 79 2335 81 Ln 2335 81 2337 83 Ln 2337 83 2340 81 Ln 2340 81 2340 79 Ln 2340 79 2335 74 Ln 2335 74 2330 71 Ln 2330 71 2324 71 Ln 2324 71 2316 74 Ln 2316 74 2312 79 Ln 2312 79 2310 86 Ln 2310 86 2310 90 Ln 2310 90 2312 97 Ln 2312 97 2316 101 Ln 2316 101 2324 104 Ln 2324 104 2328 104 Ln 2328 104 2335 101 Ln 2335 101 2340 97 Ln 2324 71 2318 74 Ln 2318 74 2314 79 Ln 2314 79 2312 86 Ln 2312 86 2312 90 Ln 2312 90 2314 97 Ln 2314 97 2318 101 Ln 2318 101 2324 104 Ln 2360 71 2360 104 Ln 2363 71 2363 104 Ln 2363 86 2364 79 Ln 2364 79 2370 74 Ln 2370 74 2374 71 Ln 2374 71 2381 71 Ln 2381 71 2384 74 Ln 2384 74 2384 76 Ln 2384 76 2381 79 Ln 2381 79 2379 76 Ln 2379 76 2381 74 Ln 2353 71 2363 71 Ln 2353 104 2370 104 Ln 2403 76 2403 79 Ln 2403 79 2400 79 Ln 2400 79 2400 76 Ln 2400 76 2403 74 Ln 2403 74 2407 71 Ln 2407 71 2417 71 Ln 2417 71 2421 74 Ln 2421 74 2424 76 Ln 2424 76 2426 81 Ln 2426 81 2426 97 Ln 2426 97 2429 101 Ln 2429 101 2430 104 Ln 2424 76 2424 97 Ln 2424 97 2426 101 Ln 2426 101 2430 104 Ln 2430 104 2433 104 Ln 2424 81 2421 83 Ln 2421 83 2407 86 Ln 2407 86 2400 88 Ln 2400 88 2399 92 Ln 2399 92 2399 97 Ln 2399 97 2400 101 Ln 2400 101 2407 104 Ln 2407 104 2414 104 Ln 2414 104 2419 101 Ln 2419 101 2424 97 Ln 2407 86 2403 88 Ln 2403 88 2400 92 Ln 2400 92 2400 97 Ln 2400 97 2403 101 Ln 2403 101 2407 104 Ln 2452 55 2452 94 Ln 2452 94 2454 101 Ln 2454 101 2459 104 Ln 2459 104 2463 104 Ln 2463 104 2468 101 Ln 2468 101 2470 97 Ln 2454 55 2454 94 Ln 2454 94 2456 101 Ln 2456 101 2459 104 Ln 2445 71 2463 71 Ln 2533 55 2533 104 Ln 2535 55 2535 104 Ln 2526 55 2554 55 Ln 2554 55 2561 58 Ln 2561 58 2563 61 Ln 2563 61 2565 65 Ln 2565 65 2565 69 Ln 2565 69 2563 74 Ln 2563 74 2561 76 Ln 2561 76 2554 79 Ln 2554 55 2559 58 Ln 2559 58 2561 61 Ln 2561 61 2563 65 Ln 2563 65 2563 69 Ln 2563 69 2561 74 Ln 2561 74 2559 76 Ln 2559 76 2554 79 Ln 2535 79 2554 79 Ln 2554 79 2561 81 Ln 2561 81 2563 83 Ln 2563 83 2565 88 Ln 2565 88 2565 94 Ln 2565 94 2563 99 Ln 2563 99 2561 101 Ln 2561 101 2554 104 Ln 2554 104 2526 104 Ln 2554 79 2559 81 Ln 2559 81 2561 83 Ln 2561 83 2563 88 Ln 2563 88 2563 94 Ln 2563 94 2561 99 Ln 2561 99 2559 101 Ln 2559 101 2554 104 Ln 2587 55 2584 58 Ln 2584 58 2587 61 Ln 2587 61 2589 58 Ln 2589 58 2587 55 Ln 2587 71 2587 104 Ln 2589 71 2589 104 Ln 2579 71 2589 71 Ln 2579 104 2596 104 Ln 2633 76 2635 71 Ln 2635 71 2635 81 Ln 2635 81 2633 76 Ln 2633 76 2631 74 Ln 2631 74 2626 71 Ln 2626 71 2617 71 Ln 2617 71 2612 74 Ln 2612 74 2610 76 Ln 2610 76 2610 81 Ln 2610 81 2612 83 Ln 2612 83 2617 86 Ln 2617 86 2628 90 Ln 2628 90 2633 92 Ln 2633 92 2635 94 Ln 2610 79 2612 81 Ln 2612 81 2617 83 Ln 2617 83 2628 88 Ln 2628 88 2633 90 Ln 2633 90 2635 92 Ln 2635 92 2635 99 Ln 2635 99 2633 101 Ln 2633 101 2628 104 Ln 2628 104 2619 104 Ln 2619 104 2614 101 Ln 2614 101 2612 99 Ln 2612 99 2610 94 Ln 2610 94 2610 104 Ln 2610 104 2612 99 Ln 2657 55 2657 104 Ln 2659 55 2659 104 Ln 2659 79 2663 74 Ln 2663 74 2671 71 Ln 2671 71 2675 71 Ln 2675 71 2683 74 Ln 2683 74 2684 79 Ln 2684 79 2684 104 Ln 2675 71 2680 74 Ln 2680 74 2683 79 Ln 2683 79 2683 104 Ln 2650 55 2659 55 Ln 2650 104 2666 104 Ln 2675 104 2692 104 Ln 2720 71 2713 74 Ln 2713 74 2708 79 Ln 2708 79 2706 86 Ln 2706 86 2706 90 Ln 2706 90 2708 97 Ln 2708 97 2713 101 Ln 2713 101 2720 104 Ln 2720 104 2724 104 Ln 2724 104 2731 101 Ln 2731 101 2736 97 Ln 2736 97 2738 90 Ln 2738 90 2738 86 Ln 2738 86 2736 79 Ln 2736 79 2731 74 Ln 2731 74 2724 71 Ln 2724 71 2720 71 Ln 2720 71 2714 74 Ln 2714 74 2710 79 Ln 2710 79 2708 86 Ln 2708 86 2708 90 Ln 2708 90 2710 97 Ln 2710 97 2714 101 Ln 2714 101 2720 104 Ln 2724 104 2729 101 Ln 2729 101 2734 97 Ln 2734 97 2736 90 Ln 2736 90 2736 86 Ln 2736 86 2734 79 Ln 2734 79 2729 74 Ln 2729 74 2724 71 Ln 2759 71 2759 119 Ln 2762 71 2762 119 Ln 2762 79 2766 74 Ln 2766 74 2771 71 Ln 2771 71 2776 71 Ln 2776 71 2783 74 Ln 2783 74 2787 79 Ln 2787 79 2789 86 Ln 2789 86 2789 90 Ln 2789 90 2787 97 Ln 2787 97 2783 101 Ln 2783 101 2776 104 Ln 2776 104 2771 104 Ln 2771 104 2766 101 Ln 2766 101 2762 97 Ln 2776 71 2780 74 Ln 2780 74 2785 79 Ln 2785 79 2787 86 Ln 2787 86 2787 90 Ln 2787 90 2785 97 Ln 2785 97 2780 101 Ln 2780 101 2776 104 Ln 2752 71 2762 71 Ln 2752 119 2769 119 Ln 2973 927 2924 927 Ln 2973 929 2924 929 Ln 2960 943 2940 943 Ln 2973 920 2973 957 Ln 2973 957 2960 957 Ln 2960 957 2973 954 Ln 2950 929 2950 943 Ln 2924 920 2924 936 Ln 2973 975 2924 975 Ln 2973 977 2924 977 Ln 2973 967 2973 984 Ln 2924 967 2924 984 Ln 2966 1030 2960 1032 Ln 2960 1032 2973 1032 Ln 2973 1032 2966 1030 Ln 2966 1030 2971 1026 Ln 2971 1026 2973 1018 Ln 2973 1018 2973 1014 Ln 2973 1014 2971 1007 Ln 2971 1007 2966 1003 Ln 2966 1003 2961 1000 Ln 2961 1000 2954 999 Ln 2954 999 2942 999 Ln 2942 999 2936 1000 Ln 2936 1000 2931 1003 Ln 2931 1003 2927 1007 Ln 2927 1007 2924 1014 Ln 2924 1014 2924 1018 Ln 2924 1018 2927 1026 Ln 2927 1026 2931 1030 Ln 2973 1014 2971 1009 Ln 2971 1009 2966 1005 Ln 2966 1005 2961 1003 Ln 2961 1003 2954 1000 Ln 2954 1000 2942 1000 Ln 2942 1000 2936 1003 Ln 2936 1003 2931 1005 Ln 2931 1005 2927 1009 Ln 2927 1009 2924 1014 Ln 2942 1030 2924 1030 Ln 2942 1032 2924 1032 Ln 2942 1024 2942 1039 Ln 2973 1057 2938 1057 Ln 2938 1057 2931 1060 Ln 2931 1060 2927 1064 Ln 2927 1064 2924 1071 Ln 2924 1071 2924 1075 Ln 2924 1075 2927 1083 Ln 2927 1083 2931 1087 Ln 2931 1087 2938 1089 Ln 2938 1089 2973 1089 Ln 2973 1060 2938 1060 Ln 2938 1060 2931 1062 Ln 2931 1062 2927 1067 Ln 2927 1067 2924 1071 Ln 2973 1050 2973 1067 Ln 2973 1083 2973 1096 Ln 2973 1114 2924 1114 Ln 2973 1117 2924 1117 Ln 2973 1107 2973 1135 Ln 2973 1135 2971 1142 Ln 2971 1142 2968 1144 Ln 2968 1144 2964 1146 Ln 2964 1146 2960 1146 Ln 2960 1146 2954 1144 Ln 2954 1144 2952 1142 Ln 2952 1142 2950 1135 Ln 2950 1135 2950 1117 Ln 2973 1135 2971 1140 Ln 2971 1140 2968 1142 Ln 2968 1142 2964 1144 Ln 2964 1144 2960 1144 Ln 2960 1144 2954 1142 Ln 2954 1142 2952 1140 Ln 2952 1140 2950 1135 Ln 2924 1107 2924 1124 Ln 2950 1128 2948 1132 Ln 2948 1132 2945 1135 Ln 2945 1135 2928 1142 Ln 2928 1142 2927 1144 Ln 2927 1144 2927 1146 Ln 2927 1146 2928 1149 Ln 2948 1132 2942 1135 Ln 2942 1135 2927 1140 Ln 2927 1140 2924 1142 Ln 2924 1142 2924 1146 Ln 2924 1146 2928 1149 Ln 2928 1149 2931 1149 Ln 2973 1168 2924 1168 Ln 2973 1170 2924 1170 Ln 2960 1183 2940 1183 Ln 2973 1160 2973 1197 Ln 2973 1197 2960 1197 Ln 2960 1197 2973 1195 Ln 2950 1170 2950 1183 Ln 2924 1160 2924 1197 Ln 2924 1197 2938 1197 Ln 2938 1197 2924 1195 Ln 2964 1264 2966 1268 Ln 2966 1268 2973 1275 Ln 2973 1275 2924 1275 Ln 2971 1273 2924 1273 Ln 2924 1264 2924 1285 Ln 2957 1310 2954 1307 Ln 2954 1307 2952 1310 Ln 2952 1310 2954 1312 Ln 2954 1312 2957 1310 Ln 2928 1310 2927 1307 Ln 2927 1307 2924 1310 Ln 2924 1310 2927 1312 Ln 2927 1312 2928 1310 Ln 2869 328 2820 313 Ln 2869 328 2820 344 Ln 2862 328 2820 342 Ln 2834 317 2834 338 Ln 2820 308 2820 321 Ln 2820 335 2820 349 Ln 2853 371 2850 367 Ln 2850 367 2848 365 Ln 2848 365 2843 363 Ln 2843 363 2838 363 Ln 2838 363 2834 365 Ln 2834 365 2832 367 Ln 2832 367 2829 371 Ln 2829 371 2829 377 Ln 2829 377 2832 381 Ln 2832 381 2834 383 Ln 2834 383 2838 386 Ln 2838 386 2843 386 Ln 2843 386 2848 383 Ln 2848 383 2850 381 Ln 2850 381 2853 377 Ln 2853 377 2853 371 Ln 2850 367 2846 365 Ln 2846 365 2836 365 Ln 2836 365 2832 367 Ln 2832 381 2836 383 Ln 2836 383 2846 383 Ln 2846 383 2850 381 Ln 2848 383 2850 386 Ln 2850 386 2853 391 Ln 2853 391 2850 391 Ln 2850 391 2850 386 Ln 2834 365 2832 363 Ln 2832 363 2828 361 Ln 2828 361 2825 361 Ln 2825 361 2820 363 Ln 2820 363 2819 370 Ln 2819 370 2819 381 Ln 2819 381 2816 388 Ln 2816 388 2813 391 Ln 2825 361 2822 363 Ln 2822 363 2820 370 Ln 2820 370 2820 381 Ln 2820 381 2819 388 Ln 2819 388 2813 391 Ln 2813 391 2812 391 Ln 2812 391 2807 388 Ln 2807 388 2805 381 Ln 2805 381 2805 367 Ln 2805 367 2807 361 Ln 2807 361 2812 358 Ln 2812 358 2813 358 Ln 2813 358 2819 361 Ln 2819 361 2820 367 Ln 2853 417 2850 413 Ln 2850 413 2848 410 Ln 2848 410 2843 408 Ln 2843 408 2838 408 Ln 2838 408 2834 410 Ln 2834 410 2832 413 Ln 2832 413 2829 417 Ln 2829 417 2829 422 Ln 2829 422 2832 426 Ln 2832 426 2834 428 Ln 2834 428 2838 431 Ln 2838 431 2843 431 Ln 2843 431 2848 428 Ln 2848 428 2850 426 Ln 2850 426 2853 422 Ln 2853 422 2853 417 Ln 2850 413 2846 410 Ln 2846 410 2836 410 Ln 2836 410 2832 413 Ln 2832 426 2836 428 Ln 2836 428 2846 428 Ln 2846 428 2850 426 Ln 2848 428 2850 431 Ln 2850 431 2853 436 Ln 2853 436 2850 436 Ln 2850 436 2850 431 Ln 2834 410 2832 408 Ln 2832 408 2828 406 Ln 2828 406 2825 406 Ln 2825 406 2820 408 Ln 2820 408 2819 415 Ln 2819 415 2819 426 Ln 2819 426 2816 434 Ln 2816 434 2813 436 Ln 2825 406 2822 408 Ln 2822 408 2820 415 Ln 2820 415 2820 426 Ln 2820 426 2819 434 Ln 2819 434 2813 436 Ln 2813 436 2812 436 Ln 2812 436 2807 434 Ln 2807 434 2805 426 Ln 2805 426 2805 413 Ln 2805 413 2807 406 Ln 2807 406 2812 403 Ln 2812 403 2813 403 Ln 2813 403 2819 406 Ln 2819 406 2820 413 Ln 2853 457 2820 457 Ln 2853 459 2820 459 Ln 2838 459 2846 461 Ln 2846 461 2850 466 Ln 2850 466 2853 470 Ln 2853 470 2853 477 Ln 2853 477 2850 480 Ln 2850 480 2848 480 Ln 2848 480 2846 477 Ln 2846 477 2848 475 Ln 2848 475 2850 477 Ln 2853 449 2853 459 Ln 2820 449 2820 466 Ln 2838 495 2838 523 Ln 2838 523 2843 523 Ln 2843 523 2848 521 Ln 2848 521 2850 519 Ln 2850 519 2853 513 Ln 2853 513 2853 507 Ln 2853 507 2850 500 Ln 2850 500 2846 495 Ln 2846 495 2838 494 Ln 2838 494 2834 494 Ln 2834 494 2828 495 Ln 2828 495 2822 500 Ln 2822 500 2820 507 Ln 2820 507 2820 512 Ln 2820 512 2822 519 Ln 2822 519 2828 523 Ln 2838 521 2846 521 Ln 2846 521 2850 519 Ln 2853 507 2850 502 Ln 2850 502 2846 498 Ln 2846 498 2838 495 Ln 2838 495 2834 495 Ln 2834 495 2828 498 Ln 2828 498 2822 502 Ln 2822 502 2820 507 Ln 2853 550 2850 546 Ln 2850 546 2848 544 Ln 2848 544 2843 542 Ln 2843 542 2838 542 Ln 2838 542 2834 544 Ln 2834 544 2832 546 Ln 2832 546 2829 550 Ln 2829 550 2829 555 Ln 2829 555 2832 560 Ln 2832 560 2834 562 Ln 2834 562 2838 564 Ln 2838 564 2843 564 Ln 2843 564 2848 562 Ln 2848 562 2850 560 Ln 2850 560 2853 555 Ln 2853 555 2853 550 Ln 2850 546 2846 544 Ln 2846 544 2836 544 Ln 2836 544 2832 546 Ln 2832 560 2836 562 Ln 2836 562 2846 562 Ln 2846 562 2850 560 Ln 2848 562 2850 564 Ln 2850 564 2853 569 Ln 2853 569 2850 569 Ln 2850 569 2850 564 Ln 2834 544 2832 542 Ln 2832 542 2828 539 Ln 2828 539 2825 539 Ln 2825 539 2820 542 Ln 2820 542 2819 548 Ln 2819 548 2819 560 Ln 2819 560 2816 567 Ln 2816 567 2813 569 Ln 2825 539 2822 542 Ln 2822 542 2820 548 Ln 2820 548 2820 560 Ln 2820 560 2819 567 Ln 2819 567 2813 569 Ln 2813 569 2812 569 Ln 2812 569 2807 567 Ln 2807 567 2805 560 Ln 2805 560 2805 546 Ln 2805 546 2807 539 Ln 2807 539 2812 537 Ln 2812 537 2813 537 Ln 2813 537 2819 539 Ln 2819 539 2820 546 Ln 2848 590 2846 590 Ln 2846 590 2846 588 Ln 2846 588 2848 588 Ln 2848 588 2850 590 Ln 2850 590 2853 594 Ln 2853 594 2853 603 Ln 2853 603 2850 608 Ln 2850 608 2848 611 Ln 2848 611 2843 613 Ln 2843 613 2828 613 Ln 2828 613 2822 615 Ln 2822 615 2820 617 Ln 2848 611 2828 611 Ln 2828 611 2822 613 Ln 2822 613 2820 617 Ln 2820 617 2820 620 Ln 2843 611 2841 608 Ln 2841 608 2838 594 Ln 2838 594 2836 588 Ln 2836 588 2832 585 Ln 2832 585 2828 585 Ln 2828 585 2822 588 Ln 2822 588 2820 594 Ln 2820 594 2820 602 Ln 2820 602 2822 606 Ln 2822 606 2828 611 Ln 2838 594 2836 590 Ln 2836 590 2832 588 Ln 2832 588 2828 588 Ln 2828 588 2822 590 Ln 2822 590 2820 594 Ln 2869 638 2829 638 Ln 2829 638 2822 639 Ln 2822 639 2820 644 Ln 2820 644 2820 649 Ln 2820 649 2822 653 Ln 2822 653 2828 656 Ln 2869 639 2829 639 Ln 2829 639 2822 642 Ln 2822 642 2820 644 Ln 2853 630 2853 649 Ln 2869 674 2867 672 Ln 2867 672 2864 674 Ln 2864 674 2867 677 Ln 2867 677 2869 674 Ln 2853 674 2820 674 Ln 2853 677 2820 677 Ln 2853 667 2853 677 Ln 2820 667 2820 684 Ln 2853 711 2850 704 Ln 2850 704 2846 699 Ln 2846 699 2838 698 Ln 2838 698 2834 698 Ln 2834 698 2828 699 Ln 2828 699 2822 704 Ln 2822 704 2820 711 Ln 2820 711 2820 715 Ln 2820 715 2822 723 Ln 2822 723 2828 727 Ln 2828 727 2834 729 Ln 2834 729 2838 729 Ln 2838 729 2846 727 Ln 2846 727 2850 723 Ln 2850 723 2853 715 Ln 2853 715 2853 711 Ln 2853 711 2850 706 Ln 2850 706 2846 702 Ln 2846 702 2838 699 Ln 2838 699 2834 699 Ln 2834 699 2828 702 Ln 2828 702 2822 706 Ln 2822 706 2820 711 Ln 2820 715 2822 720 Ln 2822 720 2828 725 Ln 2828 725 2834 727 Ln 2834 727 2838 727 Ln 2838 727 2846 725 Ln 2846 725 2850 720 Ln 2850 720 2853 715 Ln 2853 750 2820 750 Ln 2853 752 2820 752 Ln 2846 752 2850 756 Ln 2850 756 2853 764 Ln 2853 764 2853 768 Ln 2853 768 2850 775 Ln 2850 775 2846 777 Ln 2846 777 2820 777 Ln 2853 768 2850 773 Ln 2850 773 2846 775 Ln 2846 775 2820 775 Ln 2853 743 2853 752 Ln 2820 743 2820 759 Ln 2820 768 2820 784 Ln 2869 846 2820 846 Ln 2869 849 2820 849 Ln 2869 839 2869 867 Ln 2869 867 2867 874 Ln 2867 874 2864 876 Ln 2864 876 2859 878 Ln 2859 878 2855 878 Ln 2855 878 2850 876 Ln 2850 876 2848 874 Ln 2848 874 2846 867 Ln 2869 867 2867 871 Ln 2867 871 2864 874 Ln 2864 874 2859 876 Ln 2859 876 2855 876 Ln 2855 876 2850 874 Ln 2850 874 2848 871 Ln 2848 871 2846 867 Ln 2846 849 2846 867 Ln 2846 867 2843 874 Ln 2843 874 2841 876 Ln 2841 876 2836 878 Ln 2836 878 2829 878 Ln 2829 878 2825 876 Ln 2825 876 2822 874 Ln 2822 874 2820 867 Ln 2820 867 2820 839 Ln 2846 867 2843 871 Ln 2843 871 2841 874 Ln 2841 874 2836 876 Ln 2836 876 2829 876 Ln 2829 876 2825 874 Ln 2825 874 2822 871 Ln 2822 871 2820 867 Ln 2869 899 2867 897 Ln 2867 897 2864 899 Ln 2864 899 2867 901 Ln 2867 901 2869 899 Ln 2853 899 2820 899 Ln 2853 901 2820 901 Ln 2853 892 2853 901 Ln 2820 892 2820 909 Ln 2848 927 2846 927 Ln 2846 927 2846 924 Ln 2846 924 2848 924 Ln 2848 924 2850 927 Ln 2850 927 2853 931 Ln 2853 931 2853 940 Ln 2853 940 2850 945 Ln 2850 945 2848 947 Ln 2848 947 2843 949 Ln 2843 949 2828 949 Ln 2828 949 2822 952 Ln 2822 952 2820 954 Ln 2848 947 2828 947 Ln 2828 947 2822 949 Ln 2822 949 2820 954 Ln 2820 954 2820 956 Ln 2843 947 2841 945 Ln 2841 945 2838 931 Ln 2838 931 2836 924 Ln 2836 924 2832 922 Ln 2832 922 2828 922 Ln 2828 922 2822 924 Ln 2822 924 2820 931 Ln 2820 931 2820 938 Ln 2820 938 2822 942 Ln 2822 942 2828 947 Ln 2838 931 2836 927 Ln 2836 927 2832 924 Ln 2832 924 2828 924 Ln 2828 924 2822 927 Ln 2822 927 2820 931 Ln 2848 993 2853 996 Ln 2853 996 2843 996 Ln 2843 996 2848 993 Ln 2848 993 2850 990 Ln 2850 990 2853 986 Ln 2853 986 2853 977 Ln 2853 977 2850 972 Ln 2850 972 2848 970 Ln 2848 970 2843 970 Ln 2843 970 2841 972 Ln 2841 972 2838 977 Ln 2838 977 2834 988 Ln 2834 988 2832 993 Ln 2832 993 2829 996 Ln 2846 970 2843 972 Ln 2843 972 2841 977 Ln 2841 977 2836 988 Ln 2836 988 2834 993 Ln 2834 993 2832 996 Ln 2832 996 2825 996 Ln 2825 996 2822 993 Ln 2822 993 2820 988 Ln 2820 988 2820 979 Ln 2820 979 2822 975 Ln 2822 975 2825 972 Ln 2825 972 2829 970 Ln 2829 970 2820 970 Ln 2820 970 2825 972 Ln 2869 1060 2867 1057 Ln 2867 1057 2864 1060 Ln 2864 1060 2867 1062 Ln 2867 1062 2869 1060 Ln 2853 1060 2820 1060 Ln 2853 1062 2820 1062 Ln 2853 1053 2853 1062 Ln 2820 1053 2820 1069 Ln 2853 1087 2820 1087 Ln 2853 1089 2820 1089 Ln 2846 1089 2850 1093 Ln 2850 1093 2853 1101 Ln 2853 1101 2853 1105 Ln 2853 1105 2850 1112 Ln 2850 1112 2846 1114 Ln 2846 1114 2820 1114 Ln 2853 1105 2850 1110 Ln 2850 1110 2846 1112 Ln 2846 1112 2820 1112 Ln 2853 1080 2853 1089 Ln 2820 1080 2820 1096 Ln 2820 1105 2820 1122 Ln 2848 1183 2846 1183 Ln 2846 1183 2846 1181 Ln 2846 1181 2848 1181 Ln 2848 1181 2850 1183 Ln 2850 1183 2853 1188 Ln 2853 1188 2853 1197 Ln 2853 1197 2850 1201 Ln 2850 1201 2848 1204 Ln 2848 1204 2843 1207 Ln 2843 1207 2828 1207 Ln 2828 1207 2822 1208 Ln 2822 1208 2820 1211 Ln 2848 1204 2828 1204 Ln 2828 1204 2822 1207 Ln 2822 1207 2820 1211 Ln 2820 1211 2820 1213 Ln 2843 1204 2841 1201 Ln 2841 1201 2838 1188 Ln 2838 1188 2836 1181 Ln 2836 1181 2832 1179 Ln 2832 1179 2828 1179 Ln 2828 1179 2822 1181 Ln 2822 1181 2820 1188 Ln 2820 1188 2820 1195 Ln 2820 1195 2822 1199 Ln 2822 1199 2828 1204 Ln 2838 1188 2836 1183 Ln 2836 1183 2832 1181 Ln 2832 1181 2828 1181 Ln 2828 1181 2822 1183 Ln 2822 1183 2820 1188 Ln 2869 1285 2820 1285 Ln 2869 1286 2820 1286 Ln 2869 1271 2855 1268 Ln 2855 1268 2869 1268 Ln 2869 1268 2869 1303 Ln 2869 1303 2855 1303 Ln 2855 1303 2869 1300 Ln 2820 1277 2820 1293 Ln 2853 1330 2850 1324 Ln 2850 1324 2846 1319 Ln 2846 1319 2838 1317 Ln 2838 1317 2834 1317 Ln 2834 1317 2828 1319 Ln 2828 1319 2822 1324 Ln 2822 1324 2820 1330 Ln 2820 1330 2820 1335 Ln 2820 1335 2822 1342 Ln 2822 1342 2828 1346 Ln 2828 1346 2834 1349 Ln 2834 1349 2838 1349 Ln 2838 1349 2846 1346 Ln 2846 1346 2850 1342 Ln 2850 1342 2853 1335 Ln 2853 1335 2853 1330 Ln 2853 1330 2850 1325 Ln 2850 1325 2846 1321 Ln 2846 1321 2838 1319 Ln 2838 1319 2834 1319 Ln 2834 1319 2828 1321 Ln 2828 1321 2822 1325 Ln 2822 1325 2820 1330 Ln 2820 1335 2822 1339 Ln 2822 1339 2828 1344 Ln 2828 1344 2834 1346 Ln 2834 1346 2838 1346 Ln 2838 1346 2846 1344 Ln 2846 1344 2850 1339 Ln 2850 1339 2853 1335 Ln 2853 1369 2820 1369 Ln 2853 1371 2820 1371 Ln 2846 1371 2850 1375 Ln 2850 1375 2853 1382 Ln 2853 1382 2853 1387 Ln 2853 1387 2850 1394 Ln 2850 1394 2846 1396 Ln 2846 1396 2820 1396 Ln 2853 1387 2850 1392 Ln 2850 1392 2846 1394 Ln 2846 1394 2820 1394 Ln 2846 1396 2850 1400 Ln 2850 1400 2853 1408 Ln 2853 1408 2853 1412 Ln 2853 1412 2850 1419 Ln 2850 1419 2846 1421 Ln 2846 1421 2820 1421 Ln 2853 1412 2850 1417 Ln 2850 1417 2846 1419 Ln 2846 1419 2820 1419 Ln 2853 1361 2853 1371 Ln 2820 1361 2820 1378 Ln 2820 1387 2820 1403 Ln 2820 1412 2820 1429 Ln 2853 1457 2850 1449 Ln 2850 1449 2846 1445 Ln 2846 1445 2838 1443 Ln 2838 1443 2834 1443 Ln 2834 1443 2828 1445 Ln 2828 1445 2822 1449 Ln 2822 1449 2820 1457 Ln 2820 1457 2820 1461 Ln 2820 1461 2822 1468 Ln 2822 1468 2828 1472 Ln 2828 1472 2834 1475 Ln 2834 1475 2838 1475 Ln 2838 1475 2846 1472 Ln 2846 1472 2850 1468 Ln 2850 1468 2853 1461 Ln 2853 1461 2853 1457 Ln 2853 1457 2850 1451 Ln 2850 1451 2846 1447 Ln 2846 1447 2838 1445 Ln 2838 1445 2834 1445 Ln 2834 1445 2828 1447 Ln 2828 1447 2822 1451 Ln 2822 1451 2820 1457 Ln 2820 1461 2822 1465 Ln 2822 1465 2828 1470 Ln 2828 1470 2834 1472 Ln 2834 1472 2838 1472 Ln 2838 1472 2846 1470 Ln 2846 1470 2850 1465 Ln 2850 1465 2853 1461 Ln 2853 1501 2850 1497 Ln 2850 1497 2848 1495 Ln 2848 1495 2843 1493 Ln 2843 1493 2838 1493 Ln 2838 1493 2834 1495 Ln 2834 1495 2832 1497 Ln 2832 1497 2829 1501 Ln 2829 1501 2829 1506 Ln 2829 1506 2832 1511 Ln 2832 1511 2834 1513 Ln 2834 1513 2838 1515 Ln 2838 1515 2843 1515 Ln 2843 1515 2848 1513 Ln 2848 1513 2850 1511 Ln 2850 1511 2853 1506 Ln 2853 1506 2853 1501 Ln 2850 1497 2846 1495 Ln 2846 1495 2836 1495 Ln 2836 1495 2832 1497 Ln 2832 1511 2836 1513 Ln 2836 1513 2846 1513 Ln 2846 1513 2850 1511 Ln 2848 1513 2850 1515 Ln 2850 1515 2853 1520 Ln 2853 1520 2850 1520 Ln 2850 1520 2850 1515 Ln 2834 1495 2832 1493 Ln 2832 1493 2828 1490 Ln 2828 1490 2825 1490 Ln 2825 1490 2820 1493 Ln 2820 1493 2819 1499 Ln 2819 1499 2819 1511 Ln 2819 1511 2816 1518 Ln 2816 1518 2813 1520 Ln 2825 1490 2822 1493 Ln 2822 1493 2820 1499 Ln 2820 1499 2820 1511 Ln 2820 1511 2819 1518 Ln 2819 1518 2813 1520 Ln 2813 1520 2812 1520 Ln 2812 1520 2807 1518 Ln 2807 1518 2805 1511 Ln 2805 1511 2805 1497 Ln 2805 1497 2807 1490 Ln 2807 1490 2812 1487 Ln 2812 1487 2813 1487 Ln 2813 1487 2819 1490 Ln 2819 1490 2820 1497 Ln 2853 1541 2820 1541 Ln 2853 1543 2820 1543 Ln 2838 1543 2846 1545 Ln 2846 1545 2850 1550 Ln 2850 1550 2853 1554 Ln 2853 1554 2853 1562 Ln 2853 1562 2850 1564 Ln 2850 1564 2848 1564 Ln 2848 1564 2846 1562 Ln 2846 1562 2848 1559 Ln 2848 1559 2850 1562 Ln 2853 1533 2853 1543 Ln 2820 1533 2820 1550 Ln 2848 1582 2846 1582 Ln 2846 1582 2846 1580 Ln 2846 1580 2848 1580 Ln 2848 1580 2850 1582 Ln 2850 1582 2853 1586 Ln 2853 1586 2853 1596 Ln 2853 1596 2850 1600 Ln 2850 1600 2848 1603 Ln 2848 1603 2843 1605 Ln 2843 1605 2828 1605 Ln 2828 1605 2822 1607 Ln 2822 1607 2820 1609 Ln 2848 1603 2828 1603 Ln 2828 1603 2822 1605 Ln 2822 1605 2820 1609 Ln 2820 1609 2820 1611 Ln 2843 1603 2841 1600 Ln 2841 1600 2838 1586 Ln 2838 1586 2836 1580 Ln 2836 1580 2832 1578 Ln 2832 1578 2828 1578 Ln 2828 1578 2822 1580 Ln 2822 1580 2820 1586 Ln 2820 1586 2820 1593 Ln 2820 1593 2822 1598 Ln 2822 1598 2828 1603 Ln 2838 1586 2836 1582 Ln 2836 1582 2832 1580 Ln 2832 1580 2828 1580 Ln 2828 1580 2822 1582 Ln 2822 1582 2820 1586 Ln 2853 1630 2805 1630 Ln 2853 1632 2805 1632 Ln 2846 1632 2850 1637 Ln 2850 1637 2853 1641 Ln 2853 1641 2853 1646 Ln 2853 1646 2850 1653 Ln 2850 1653 2846 1658 Ln 2846 1658 2838 1659 Ln 2838 1659 2834 1659 Ln 2834 1659 2828 1658 Ln 2828 1658 2822 1653 Ln 2822 1653 2820 1646 Ln 2820 1646 2820 1641 Ln 2820 1641 2822 1637 Ln 2822 1637 2828 1632 Ln 2853 1646 2850 1651 Ln 2850 1651 2846 1655 Ln 2846 1655 2838 1658 Ln 2838 1658 2834 1658 Ln 2834 1658 2828 1655 Ln 2828 1655 2822 1651 Ln 2822 1651 2820 1646 Ln 2853 1623 2853 1632 Ln 2805 1623 2805 1640 Ln 2869 1680 2820 1680 Ln 2869 1683 2820 1683 Ln 2846 1683 2850 1687 Ln 2850 1687 2853 1694 Ln 2853 1694 2853 1698 Ln 2853 1698 2850 1706 Ln 2850 1706 2846 1708 Ln 2846 1708 2820 1708 Ln 2853 1698 2850 1704 Ln 2850 1704 2846 1706 Ln 2846 1706 2820 1706 Ln 2869 1673 2869 1683 Ln 2820 1673 2820 1690 Ln 2820 1698 2820 1715 Ln 2853 1731 2820 1745 Ln 2853 1733 2825 1745 Ln 2853 1758 2820 1745 Ln 2820 1745 2812 1740 Ln 2812 1740 2807 1736 Ln 2807 1736 2805 1731 Ln 2805 1731 2805 1729 Ln 2805 1729 2807 1726 Ln 2807 1726 2809 1729 Ln 2809 1729 2807 1731 Ln 2853 1726 2853 1740 Ln 2853 1749 2853 1763 Ln 2869 1822 2820 1822 Ln 2869 1825 2820 1825 Ln 2869 1815 2869 1843 Ln 2869 1843 2867 1850 Ln 2867 1850 2864 1852 Ln 2864 1852 2859 1854 Ln 2859 1854 2853 1854 Ln 2853 1854 2848 1852 Ln 2848 1852 2846 1850 Ln 2846 1850 2843 1843 Ln 2843 1843 2843 1825 Ln 2869 1843 2867 1848 Ln 2867 1848 2864 1850 Ln 2864 1850 2859 1852 Ln 2859 1852 2853 1852 Ln 2853 1852 2848 1850 Ln 2848 1850 2846 1848 Ln 2846 1848 2843 1843 Ln 2820 1815 2820 1832 Ln 2869 1876 2820 1876 Ln 2869 1878 2820 1878 Ln 2869 1869 2869 1878 Ln 2820 1869 2820 1885 Ln 2853 1912 2850 1905 Ln 2850 1905 2846 1901 Ln 2846 1901 2838 1899 Ln 2838 1899 2834 1899 Ln 2834 1899 2828 1901 Ln 2828 1901 2822 1905 Ln 2822 1905 2820 1912 Ln 2820 1912 2820 1917 Ln 2820 1917 2822 1924 Ln 2822 1924 2828 1929 Ln 2828 1929 2834 1930 Ln 2834 1930 2838 1930 Ln 2838 1930 2846 1929 Ln 2846 1929 2850 1924 Ln 2850 1924 2853 1917 Ln 2853 1917 2853 1912 Ln 2853 1912 2850 1908 Ln 2850 1908 2846 1903 Ln 2846 1903 2838 1901 Ln 2838 1901 2834 1901 Ln 2834 1901 2828 1903 Ln 2828 1903 2822 1908 Ln 2822 1908 2820 1912 Ln 2820 1917 2822 1921 Ln 2822 1921 2828 1926 Ln 2828 1926 2834 1929 Ln 2834 1929 2838 1929 Ln 2838 1929 2846 1926 Ln 2846 1926 2850 1921 Ln 2850 1921 2853 1917 Ln 2869 1951 2829 1951 Ln 2829 1951 2822 1954 Ln 2822 1954 2820 1958 Ln 2820 1958 2820 1963 Ln 2820 1963 2822 1968 Ln 2822 1968 2828 1969 Ln 2869 1954 2829 1954 Ln 2829 1954 2822 1956 Ln 2822 1956 2820 1958 Ln 2853 1944 2853 1963 Ln xs 14 SLC 1805 301 1641 1938 Ln 2669 838 1488 1938 Ln 2669 1357 2004 1938 Ln 1705 301 1665 1938 Ln 1675 301 1673 1938 Ln 2669 1713 1828 1938 Ln 1500 301 1442 1938 Ln 2669 917 2043 1938 Ln 1715 301 1614 1938 Ln 1777 301 1607 1938 Ln 2669 1898 2423 1938 Ln 1964 301 1595 1938 Ln 1796 301 1724 1938 Ln 1453 301 1412 1938 Ln 1594 301 1512 1938 Ln 1499 301 1480 1938 Ln 2183 301 1627 1938 Ln 2669 584 1806 1938 Ln 1628 301 1507 1938 Ln 1618 301 1488 1938 Ln 1671 301 1653 1938 Ln 2062 301 1375 1938 Ln 2669 1456 1846 1938 Ln 2669 1146 1667 1938 Ln 2655 301 1816 1938 Ln 2669 1751 1859 1938 Ln 2669 1911 2099 1938 Ln 1807 301 1672 1938 Ln 2669 939 1782 1938 Ln 2669 1483 1366 1938 Ln 2258 301 1468 1938 Ln 2669 764 1476 1938 Ln 1994 301 1661 1938 Ln 1614 301 1576 1938 Ln 2153 301 1747 1938 Ln 1935 301 1598 1938 Ln 2669 467 1679 1938 Ln 2406 301 1459 1938 Ln 1743 301 1648 1938 Ln 1684 301 1588 1938 Ln 2669 1619 1796 1938 Ln 2506 301 1774 1938 Ln 2669 1920 2640 1938 Ln 2426 301 1773 1938 Ln 2669 1666 1678 1938 Ln 2669 1908 1978 1938 Ln 2669 810 1911 1938 Ln 2669 957 1875 1938 Ln 1997 301 1671 1938 Ln 2095 301 1433 1938 Ln 1940 301 1566 1938 Ln 1890 301 1611 1938 Ln 2669 1247 2077 1938 Ln 1945 301 1615 1938 Ln 2496 301 1588 1938 Ln 1597 301 1518 1938 Ln 1575 301 1533 1938 Ln 1964 301 1812 1938 Ln 1642 301 1587 1938 Ln 2131 301 1668 1938 Ln 1896 301 1868 1938 Ln 2669 1499 2059 1938 Ln 1961 301 1624 1938 Ln 1586 301 1459 1938 Ln 2669 692 1551 1938 Ln 1588 301 1431 1938 Ln 2079 301 1640 1938 Ln 2383 301 1646 1938 Ln xs 15 SLC 1 newPage %%Trailer %!END :@RC:\files\text\Research\eiconf\GA2VOTE.PSC:\files\text\Research\eiconf\GA2VOTE.PSñÆ€¸´üwÏ´üwêJÀ€åÀ  üÝ ƒW¯#ÝÝ  ÝÔ_ÔTomography€plot€illustrates€all€known€information€about€the€vote€for€U.S.€Rep.€Sanford€Bishop€in€Georgiaððs€1996Ï2nd€congressional€district.€€Horizontal€line€segments€represent€all„white€precincts;€segments€have€greater€blackÏdensity€as€they€become€more€vertical.€€The€downward€cascading€pattern€shows€that€Bishopððs€white€vote€containedÏcontextual€effects:€whites€gave€more€support€to€the€black€Democrat€when€their€locality€contained€greater€blackÏpopulations. 8Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú11Ú  ÚóóÝ  ÝÔ_Ô€Of€course,€Ô_ÔGLSÔ_Ô€estimators€for€ecological€regression€could€address€some€of€these€concerns,€too€(Ô_ÔMcCueÔ_ÔÐ ° Ð2001,€109).D ÿWPC°°X£X£!X£Àÿ€L:×ÍÆšX£°ZZ 4  L¾5ÿÿÿ à üÿÿÿ- !ðàÿÿÿ--û¼"Systemw@’ ÄLSõwUSõw0-ûñÿ¼Times New RomanLSõwUSõw0-.--  !ðTE´2 E´EVExit Poll Estimates----ðûðÿTimes New RomanLSõwUSõw0-----ðûëÿ¼Times New RomanLSõwUSõw0---.-- 2 ÕTABLE 3:----ðûèÿTimes New RomanLSõwUSõw0---ðûèÿ¼Times New RomanLSõwUSõw0-----ðûëÿ¼Times New RomanLSõwUSõw0---.-- "2 ).EPresidential Voting Among Georgia Whites, 1996----ðûñÿ¼Times New RomanLSõwUSõw0---.-- 2 EtmE´V% Blackn----.--2 E EmVCongressional--ü- !ðD³---ðûñÿTimes New RomanLSõwUSõw0---.--  !ð$GVÁ.2 jÓÆVzError6--2 XÈÆVzMinimum--.--.--2 hq lVÁzImpossible?----.--2 h VlzLower Bound--.-- !ð$TV´.2 g» ¹Vzfor Clinton--2 U¾ ¹Vz3-Party %o--.--ðûñÿ¼Times New RomanLSõwUSõw0---.--  !ð$GVm.2 gzrV¯zVoters--2 U{rV¯zamongs--.--.--2 VVmzDistrict--- !ð%U³---ðûñÿTimes New RomanLSõwUSõw0---.--  2 z‹lzÁŒNO--.--2 z*zlŒ31.26i--.-- !ðTz´ 2 zÑ´zŒ34.3--.-- 2 z„mz´Œ23.5--.-- 2 z3zmŒ13--- !ðy³---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ð‹³---ðûñÿTimes New RomanLSõwUSõw0---.--  2 ¤‹l¤Á¶NO--.--2 ¤*¤l¶30.95i--.-- !ðT¤´ 2 ¤Ñ´¤¶39.2--.-- 2 ¤„m¤´¶26.8--.-- 2 ¤3¤m¶26--- !ð£³---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ðµ³---ðûñÿTimes New RomanLSõwUSõw0-.--  2 ÎÛÁÎà8.78----.-- 2 ΈlÎÁàYES8--.--2 Î*Îlà31.12i--.-- !ðTδ 2 ÎÑ´Îà22.4--.-- 2 ΄mδà13.2--.-- 2 Î3Îmà33--- !ðͳ---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ðß³---ðûñÿTimes New RomanLSõwUSõw0-.--  2 øÛÁø 1.12----.-- 2 øˆløÁ YES2--.--2 ø*øl 42.46i--.-- !ðTø´ 2 øÑ´ø 41.4--.-- 2 ø„mø´ 39.6--.-- 2 ø3øm 49--- !ð÷³---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ð ³---ðûñÿTimes New RomanLSõwUSõw0---.--  2 "‹l"Á4NO--.--2 "*"l445.11i--.-- !ðT"´ 2 "Ñ´"445.3----.-- 2 "‡m"´4n/a3--.-- 2 "3"m45/--- !ð!³---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ð3³---ðûñÿTimes New RomanLSõwUSõw0-.--  2 LÛÁL^5.83----.-- 2 LˆlLÁ^YES3--.--2 L*Ll^29.11i--.-- !ðTL´ 2 LÑ´L^23.3--.-- 2 L‡mL´^3.23--.-- 2 L3Lm^6.--- !ðK³---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ð]³---ðûñÿTimes New RomanLSõwUSõw0---.--  2 v‹lvÁˆNO--.--2 v*vlˆ33.16i--.-- !ðTv´ 2 vÑ´vˆ37.6--.-- 2 v‡mv´ˆ8.96--.-- 2 v3vmˆ7.--- !ðu³---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ð‡³---ðûñÿTimes New RomanLSõwUSõw0-.--  2  ÛÁ ²7.86----.-- 2  ˆl Á²YES6--.--2  * l²28.91i--.-- !ðT ´ 2  Ñ´ ²21.1--.-- 2  „m ´²24.3--.-- 2  3 m²84--- !ðŸ³---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ð±³---ðûñÿTimes New RomanLSõwUSõw0-.--  2 ÊØÁÊÜ10.3----.-- 2 ʈlÊÁÜYES3--.--2 Ê*ÊlÜ33.51i--.-- !ðTÊ´ 2 ÊÑ´ÊÜ23.2--.-- 2 ʇmÊ´Ü2.32--.-- 2 Ê3ÊmÜ9.--- !ðɳ---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ðÛ³---ðûñÿTimes New RomanLSõwUSõw0-.--  2 ôÛÁô6.82----.-- 2 ôˆlôÁYES2--.--2 ô*ôl28.37i--.-- !ðTô´ 2 ôÑ´ô21.6--.-- 2 ô„mô´26.4--.-- 2 ô/ôm10--- !ðó³---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ð³---ðûñÿTimes New RomanLSõwUSõw0---.--  2 ‹lÁ0NO--.--2 *l032.84i--.-- !ðT´ 2 Ñ´034.0--.-- 2 ‡m´05.20--.-- 2 /m011--- !ð³---ðûóÿTimes New RomanLSõwUSõw0---ðûñÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0-- !ð/³---ðûðÿTimes New RomanLSõwUSõw0-.--ð ¶ýýÿ€€€-ú-ú-ðú-”ÿÿÿ-ûñÿTimes New RomanLSõwUSõw0- .-- .+!JNOTE: Exit-poll estimates were taken from the 1996 Voter News Service data,ø|Þ-- .-- ..!Oprovided to the ICPSR (archive #6989). The ecological inference estimates were,ø|Þ-- .-- ./!Rproduced using EI, Gary King's ecological inference software, using precinct-level&,ø|Þ-- .-- .3!Zracial registration data and election returns provided by the state of Georgia. "% black"8,ø|Þ-- .-- .1!Urepresents the racial demographics estimated for those who turned out. The "EI LowerlJ,ø|Þ-- .-- ./!QBound" represents the minimum possible white 3-party percentage for Clinton giveno\,ø|Þ-- .-- .4![estimated racial turnout rates. Exit-poll results in italics are therefore impossibly low.n,ø|Þ-- .€€€ ---ðð   sÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú28Ú  ÚóóÝ  ÝÔ_Ô€For€true€behavior€to€approach€one€of€the€bounds€would€require€consistently€extreme€behavior€of€a€sortÐ ° Ðthat€should€be€familiar€to€a€researcher€with€substantive€expertise€ð!ð€such€as€is€true€with€the€well„known€black€vote€forÏDemocrats.G ÿWPC°°Ò¹Ò¹!Ò¹Àÿ€ˆ.×ÍÆšÒ¹°ÊY 88  æI2ÿÿÿ Ëä üÿÿÿ- !ðËäÿÿÿ--û¼"Systemw@Ÿ £LSõwUSõw0-ûåÿTimes New RomanLSõwUSõw0-----ðûèÿTimes New RomanLSõwUSõw0---.-- 2 ¿äTABLE 1:----ðûåÿTimes New RomanLSõwUSõw0-----ðûèÿTimes New RomanLSõwUSõw0---.--  2 ()ä81968 Registration Estimates for Louisiana----ðûðÿTimes New RomanLSõwUSõw0---ðûðÿ¼Times New RomanLSõwUSõw0---.--  !ð%wEm.2 XŒ rEßjRegistration--2 D¼rEßjTotalt--.--.-- !ð%rEí.2 X òEZjRegistration--2 D3òEZjBlackt--.--.-- !ð%rEm.2 X‡ rEÚjRegistration--2 D²rEÚjWhitet--.--ðûðÿTimes New RomanLSõwUSõw0-.--  2 ~Ãm~ä’71.1--.-- 2 ~>í~_’53.6--.-- 2 ~¾m~ß’77.3--.--2 ~~m’Trutht--ü- !ðn‘ÿÿ-- !ðn’ÿÿ-- !ðs‘l-- !ðs’l-- !ð‘Þ-- !ð’Þ-- !ðs‘ì-- !ðs’ì-- !ð‘^-- !ð’^-- !ðx‘l-- !ðx’l---.--2 ¦ ¦mºSTATE DATA--.-- 2 ºFíº_Î0.0T--.-- 2 º¾mºßÎ60.9--.--2 º ºmÎLower Bound--.--2 Î6íÎ_â100.0 --.-- 2 ξmÎßâ96.3--.--2 Î ÎmâUpper Bound--.-- 2 âÃmâäö71.2----ðûðÿTimes New RomanLSõwUSõw0-.--  2 â>íâ_ö50.0--.-- 2 â¾mâßö78.6----ðûðÿTimes New RomanLSõwUSõw0-.--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0- --ðûðÿTimes New RomanLSõwUSõw0- ...â2 ââmöMidpoint.--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0---ðûðÿ"Arialõw@ù €LSõwUSõw0---ðûðÿTimes New RomanLSõwUSõw0---.-- 2  mPARISH DATA--.-- 2 >í_)15.6--.-- 2 ¾mß)61.1--.--2  m)Lower Bound--.-- 2 )>í)_=99.3--.-- 2 )¾m)ß=90.7--.--2 ) )m=Upper Bound--.-- 2 =Ãm=äQ71.1----ðûðÿTimes New RomanLSõwUSõw0-.--  2 =>í=_Q57.5--.-- 2 =¾m=ßQ75.9----ðûðÿTimes New RomanLSõwUSõw0-.--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0- --ðûðÿTimes New RomanLSõwUSõw0- ...=2 ==mQMidpoint.--ðûðÿTimes New RomanLSõwUSõw0- ..--ðûðÿTimes New RomanLSõwUSõw0---ðûðÿ"Arialõw@ù ŠLSõwUSõw0---ðûðÿTimes New RomanLSõwUSõw0---ðûðÿ"Arialõw@ù ŒLSõwUSõw0---ðûðÿTimes New RomanLSõwUSõw0-.--  2 eÃmeäy78.5--.-- 2 e>íe_y57.0--.-- 2 e¾meßy86.0--.--2 eemyNaive ER----ðûóÿTimes New RomanLSõwUSõw0---.-- 2 yCíy_(9.6) ----.--2 yÃmyß(4.0) ----ðûðÿTimes New RomanLSõwUSõw0-.--  2 ˜Ãm˜ä¬73.2--.-- 2 ˜>í˜_¬60.0--.-- 2 ˜¾m˜߬77.9--.--2 ˜ ˜m¬Weighted ER----ðûóÿTimes New RomanLSõwUSõw0---.-- 2 ¬=í¬_À(10.6)----.--2 ¬Ãm¬ßÀ(4.0))----ðûðÿTimes New RomanLSõwUSõw0-.--  2 ÔÃmÔäè71.2--.-- 2 Ô>íÔ_è70.2--.-- 2 Ô¾mÔßè71.5--.--2 Ô ÔmèNeighborhood--.-- 2 ü¾müß85.4--.--2 ü ümHomogeneous --.-- 2 $Ãm$ä871.1--.-- 2 $>í$_855.2--.-- 2 $¾m$ß876.7--.--2 $ $m8EI (simple)----ðûóÿTimes New RomanLSõwUSõw0---.-- 2 8=í8_L(17.2)----ðûðÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0---.-- 2 8Ãm8ßL(6.1))----ðûðÿTimes New RomanLSõwUSõw0-.--  2 VÃmVäj71.1--.-- 2 V>íV_j54.0--.-- 2 V¾mVßj77.1--.--2 V VmjEI (final)----ðûóÿTimes New RomanLSõwUSõw0---.-- 2 j=íj_~(16.0)----ðûðÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0---.-- 2 jÃmjß~(5.7))----ðûðÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0---.-- 82 ”Z’ä¥Note: Methodological details of each estimation appear in the text. Parenthetical numbers----ðûðÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0---.-- 32 §P¥ä¸are standard errors. No estimate of black behavior appears for homogeneous unit----ðûðÿTimes New RomanLSõwUSõw0---ðûóÿTimes New RomanLSõwUSõw0---.-- ,2 ºB¸äËanalysis because Louisiana contains no homogeneous black parishes.--.pð  --ð(³Àô$ººà0  àà0` (#(#àà0¸ ` (#` (#àà0¸ (#¸ (#àà0h(#(#àà0Àh(#h(#àÔ2#ÔÚ  Ú0Ú  Ú)Ô3  Ôà0À(#À(#à kÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú30Ú  ÚóóÝ  ÝÔ_Ô€About€the€only€sign€of€trouble€was€the€small€measures€of€uncertainty.€€I€cannot€rule€out€the€criticism€fromÐ ° ÐKingððs€critics€that€they€are€too€low.€€King€(2002)€seems€to€acknowledge€this€problem€himself.€€The€measures€ofÏuncertainty€are€still€helpful,€though,€because€they€appear€to€vary€with€the€estimation€error.€€Other€diagnostics,€suchÏas€ensuring€that€the€true€values€did€not€fall€consistently€at€the€extremes€of€their€posterior€distributions€(King€1997,Ï213),€looked€adequate. ŽÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú4Ú  ÚóóÝ  ÝÔ_Ô€The€most€obvious€exception€is€the€extensive,€and€valuable,€body€of€work€produced€by€R.€Robert€Ô_ÔHuckfeldtÔ_ÔÐ ° Ð(1986),€including€his€work€with€coauthors€such€as€Carol€Ô_ÔKohfeldÔ_Ô€(1989)€and€John€Sprague€(1995). ·Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú2Ú  ÚóóÝ  ÝÔ_Ô€In€other€words,€they€do€not€even€use€òòinformallyóó€the€sort€of€prior€knowledge€that€Bayesian€innovations€inÐ ° Ðecological€inference€allow€researchers€to€incorporate€òòformallyóó€(see,€for€example,€chapters€1€[Wakefield]€and€6€[CorderÐ yÉ Ðand€Ô_ÔWolbrechtÔ_Ô]).(ǵ{$»»à0  àà0` (#(#àà0¸ ` (#` (#àà0¸ (#¸ (#àà0h(#(#àà0Àh(#h(#àà0À(#À(#àÔ2#ÔÚ  ÚaÚ  Ú)Ô3  Ôà0p(#(#à §Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú13Ú  ÚóóÝ  ÝÔ_Ô€Work€by€Brad€Ô_ÔPalmquistÔ_Ô,€summarized€in€Ô_ÔPalmquistÔ_Ô€and€Voss€(1996),€provides€a€method€of€gauging€howÐ ° Ðmuch€aggregation€bias€will€foil€linear€ecological€inferences,€but€his€developments€have€not€been€integrated€byÏpractitioners. ÌÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú3Ú  ÚóóÝ  ÝÔ_Ô€Key€wrote,€in€a€letter€recommending€Gabriel€Almondððs€promotion€to€full€professor,€ð ðIððm€enough€of€aÐ ° Ðreactionary€myself€to€become€annoyed€when€a€political€scientist€picks€up€a€smattering€of€social€psychology€...€andÏproceeds€to€construct€a€system€out€of€thin€airðð€(Ô_ÔLuckerÔ_Ô€2001,€204). " Ý ƒS¯"ÝÝ  ÝÔ_ÔÔ‡„Ø)„%%ÔÓ  ÓFIGURE€4:Ð  ÐParish„Level€Predictive€Accuracy€Using€Precinct€DataÔ#†%c´%„„Ø)+#ÔÐ ^^ ÐÓJÓÔ‡ô /õ%%c´Ôßp€ch<,(`~0˜ÿµ@þ `ÀbAE¶µ@þ@þkjÖ”pßâ kk^^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â kkA^A^â°â A^A^kkâ°â ^^A^A^âNOTE:€Each€dot€represents€a€Louisiana€parish.€€The€true€turnout€rates€were€provided€by€the€state€of€Louisiana.€€TheÏestimated€numbers€come€from€Gary€Kingððs€Ô_ÔEIÔ_Ô,€computed€as€a€weighted€average€from€precinct„level€figures.€€The€45„¼degree€line€indicates€where€a€parish€would€fall€if€the€estimation€is€exactly€correct.€€Dots€above€the€line€representÏestimates€that€are€too€low;€those€below€it€are€too€high.Ô#†%c´%õô /ð#Ô2SW\]Cþÿ<<Cÿÿ(3¯$¢¢Ý ƒ!ÝÝ  Ý 7Ý ƒW¯#ÝÝ  ÝÔ_Ôà8 X àParish„level€estimates€for€Louisianaððs€white€rate€of€voter€registration€is€surprisingly€accurate€given€the€terribleÏquality€of€the€data.€€The€45„degree€angle€represents€perfect€estimates.€€Those€slightly€above€the€line€guessed€tooÏlow€for€white€registration;€those€below€the€line€guessed€too€high.€€A€few€small€Delta€counties€violated€theÏassumptions€of€Kingððs€Ô_ÔEIÔ_Ô,€but€while€they€probably€inflated€the€standard€error,€they€did€not€throw€off€the€statewideÏestimate€very€much. d(3¯$££Ý ƒ!ÝÝ  Ý3#37=CIQYag­­1.a.i.(1)(a)(i)1)a) žÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú19Ú  ÚóóÝ  ÝÔ_Ô€Thereððs€no€consensus€on€what€constitutes€a€ð ðhomogeneousðð€place.€€Iððve€used€a€90%€threshold.€€LowerÐ ° Ðlevels€might€bring€in€more€white€places,€but€no€Louisiana€parish€exceeded€even€a€70%€black€voting„age€population,Ïso€estimating€black€behavior€this€way€was€impossible.'ÈÈÈÈdxd( ±þ$’’ò òFigure€Ú  Ú1Ú  Úó ó($$””ò òÚ  Ú1Ú  Úó óVVVV'ÿÿdxd xÝ ƒW¯#ÝÝ  ÝÔ_Ôà8 X àBasic€Ô_ÔEIÔ_Ô€results€strongly€indicate€the€presence€of€contextual€effects€(or€aggregation€bias)€in€the€1996€white€vote€forÏDemocratic€incumbent€Rep.€Sanford€Bishop.€€Whites€sharing€a€mixed„race€environment€found€the€black€moderateÏmuch€more€appealing€than€did€those€in€heavily€white€precincts.mailto:dsvoss@uky.edu(ÍO$——ÔÿÔòòóóÔÿÔ0W[Z I&mage <=8ÿÿÿÿÿÿÿÿÿÿCÿÿ HKKKK CÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú5Ú  ÚóóÝ  ÝÔ_Ô€A€rival€method,€seldom€used€by€analysts,€rejects€these€assumptions.€€Called€the€ð ðneighborhood€modelððÐ ° Ð(Freedman€et€al.€1991),€it€does€not€escape€from€the€conundrum€posed€by€data€containing€both€compositional€andÏcontextual€patterns.€€It€simple€reverses€the€error,€assuming€that€all€systematic€variation€in€behavior€is€contextual,Ïnone€compositional.€€Different€demographic€groups€all€would€have€to€behave€the€same€way€in€a€given€community.öÿ  di ÿWPCZZ°°!°Àÿ€h×ÍÆš`@°[ ( ° û,Arial: zJˆíwSˆíwÐgïw: z - ú-ú-ð ú-û,„„Arial= mJˆíwSˆíwÐgïw= m -ð.! $.!TRUE White Turnout$Hû,Arial: {JˆíwSˆíwÐgïw: { -ð.!Est'D White Turnout‹.!.6c]@]*]*].!.75c@**.!.9cÌ@Ì*Ì*Ì.!.6 9 ! !.!.755"9"!"!.!.9O<9<!<!-ð ú-*ð*9*9*999-ð ú-ü-˜ŽŒ‚‚ûvï% ”¿ø³ì..""^ÒRƽÿ±óy‘m…™QEµ7©+øÙìÍ|£p—”ðˆäeYÀ$´H<  ý»õ¯é,< 0YÊM¾Êž¹È ¼”¼¾°²ð äýzn÷ûcïWNÖBÊ}˜qŒœðä0€$to¼c°Hî<âѽűÇÉ»½KÏ?ÖŠ_´S¨A÷5ÝÑ y„mW0K$/‘#Bã6׶·ª«ŸÉ“½š+Ž³}§q¶Äª¸ÌÃÀ·¬Ç »únîbk¬_ G;|~pr( ظ̬TôH’‚†vµ3©'_ÞSҰФÄܦК1û%ïÃ÷·-ð ú-„ˆ…õ…õ…õššš‡ò‡ò‡ò(((TÌTÌT̃ùƒùƒù‚‹‚‹‚‹¯K¯K¯KÁ1Á1Á1êÓêÓêÓvvvêêê;_;_;_ÎÎÎ"""...‰ï‰ï‰ï 6 6 6[Ä[Ä[Ä«¿«¿«¿ÅšÅšÅš¯¸¯¸¯¸ÈÈÈýýýï]ï]ï]RÐRÐRÐ}’}’}’êêê(z(z(zd¶d¶d¶AèAèAè±·±·±·¨Ã¨Ã¨ÃWÉWÉWÉÜ Ü Ü j®j®j®;;;¿¿¿“s“s“s`*`*`*a)a)a)IÝIÝIݵ±µ±µ±¨Ã¨Ã¨Ãc%c%c%wwwwww«¾«¾«¾¬½¬½¬½©Á©Á©Áèhèhèhp¦p¦p¦AAA*x*x*x###´²´²´²úNúNúN|||«-«-«-LØLØLأʣʣÊÁ Á Á 8õ8õ8õ¬½¬½-ðüÿÿÿ- ×Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú8Ú  ÚóóÝ  ÝÔ_Ô€This€notation€resembles€Equation€4€in€the€Introduction€[King,€Rosen,€and€Tanner],€but€it€includes€aÐ ° Ðcatchall€error€term€because€that€is€what€practitioners€using€the€method€customarily€assume.€€Note,€however,€that€thisÏis€not€the€well„behaved€Ordinary€Least€Squares€error€term,€because€it€has€to€capture€the€effect€of€varying€parameters. ËÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú6Ú  ÚóóÝ  ÝÔ_Ô€Some€scholars€call€ecological€regression€ð ðGoodmanððs€methodðð€after€the€man€who€popularized€the€ideaÐ ° Ð(Goodman€1953,€1959).€€However,€most€applications€of€the€method€violate€the€conditions€for€which€he€prescribed€it,Ïso€I€avoid€the€label.€€Note,€incidentally,€that€my€comments€apply€to€ecological€correlations€as€well. åÝ ƒ¯&ÝÝ  ÝÔ_ÔGary€wanted€this€changed€to€Ô_ÔscatterplotsÔ_Ô€or€Ô_ÔscattergramsÔ_Ô.€€Explain€that€I€am€intentionally€usingÏGoodmanððs€terminology.n ZÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú16Ú  ÚóóÝ  ÝÔ_Ô€They€also€might€contain€aggregation€bias€because€of€unaddressed€simultaneity€problems.€€òòCeterisÐ ° Ðparibusóó,€places€where€men€die€from€strokes€at€high€rates€might€tend€to€contain€fewer€men€over€the€long€term. CÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú7Ú  ÚóóÝ  ÝÔ_Ô€Areal€units€encompass€any€geographically€defined€space€important€to€analysts€or€policy€makers.€Ð ° ÐExamples€include€regions,€provinces,€states,€counties,€precincts,€and€legislative€districts. ¯Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú12Ú  ÚóóÝ  ÝÔ_Ô€For€example,€my€analysis€of€1996€congressional€campaigns€containing€black€candidates€in€white€districtsÐ ° Ðpresented€Kingððs€diagnostics€to€test€for€aggregation€bias,€both€the€statistics€and€the€graphs,€to€illustrate€theÏcontextual€effects€found€in€turnout€and€vote€choice€(Voss€and€Lublin€2001). »Ý ƒ¯'ÝÝ  ÝÔ_ÔÓ °` (#°œXÓò òVossà ` àUsing€Ecological€Inference€for€Contextual€Researchà‘Ä"Ä"`"(#àÚ  Ú2Ú  Úó ó IÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú14Ú  ÚóóÝ  ÝÔ_Ô€One€pair€of€researchers€at€a€recent€conference€concluded€erroneously€that€Ô_ÔEIÔ_Ô€was€less€successful€thanÐ ° Ðecological€correlations€because€Ô_ÔEIÔ_Ô€had€returned€huge€standard€errors€for€gender„vote€estimates€(Peterson€andÏÔ_ÔKoloenÔ_Ô€2002).€€Essentially,€they€criticized€Ô_ÔEIÔ_Ô€because€it€was€the€bearer€of€bad€news€that€they€needed€to€hear! Ý ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú25Ú  ÚóóÝ  ÝÔ_Ô€Note,€however,€that€extreme€behavior€can€have€substantive€costs€as€well€(King€2002).€€The€low€incidenceÐ ° Ðof€strokes€in€Texas€means€that€Ô_ÔAnselinÔ_Ô€and€Ô_ÔChoÔ_Ô€(2002)€are€able€to€provide€precise€estimates€of€mortality€rates€ð!ð€offÏby€roughly€.025€ð!ð€but€the€low„event€nature€of€their€data€may€have€complicated€across„gender€comparisons. dÝ ƒõž$ÝÔ€ô /õ%%Ôà  àòòÚ  Ú32Ú  ÚóóÝ  ÝÔ_Ô€The€weighting€is€necessary€to€indicate€the€turnout€level€Ô_ÔEIÔ_Ô€has€estimated€for€the€average€person,€ratherÐ ° Ðthan€the€average€precinct€(which€is€not€particularly€meaningful).€€See€Voss€(1996).0ÿÿ.Normal<ÿÿ:Definition T<GDÿÿ:Definition LÓ , ÓÓ;1Ü°Ü` ¸ hÀpÈ xÐ (#;ÓÓ  ÓÓ8.°°` ¸ hÀpÈ xÐ (#8Ó8ÿÿ6Definitionòòóó('zÿÿ&H1ò òÔ  ÔÔ‡°°°Ôó óÔ  ÔÔ‡XXXÔ(oÿÿ&H2ò òÔ‡„„„Ôó óÔ‡XXXÔ(oÿÿ&H3ò òÔ‡¼¼¼Ôó óÔ‡XXXÔ(ÿÿ&H4ò òÔ‡XXXÔó óÔ‡XXXÔ(oÿÿ&H5ò òÔ‡ôôôÔó óÔ‡XXXÔ(oÿÿ&H6ò òÔ‡Ôó óÔ‡XXXÔ2ÿÿ0Addressòòóó8SPÿÿ6BlockquoteÓ , ÓÓ , ÓÓ;1Ü°Ü` ¸ hÀpÈ xÐ (#;ÓÓ  ÓÓ  ÓÓ8.°°` ¸ hÀpÈ xÐ (#8Ó,ÿÿ*CITEòòóó,dlÿÿ*CODEÔ‡ôôôÔÔK‡ <þ6X9`(Courier NewKÔÔ‡XXXÔÔS‡¡ô\  `&Times New RomanSÔ4ÿÿ2Emphasisòòóó6&)ÿÿ4HyperlinkÔ  ÔÔ  ÔòòÔ ÿ ÔóóÔ  ÔÔ  ÔÔ  Ô<ÿÿ:FollowedHypeòòÔ €€ ÔóóÔ  Ô4goÿÿ2Keyboardò òÔ‡ôôôÔÔK‡ <þ6X9`(Courier NewKÔó óÔ‡XXXÔÔS‡¡ô\  `&Times New RomanSÔ<“›ÿÿ:PreformattedÓ/%° °Ïî ,KkŠ©È (#/ÓÔ‡ôôôÔÔK‡ <þ6X9`(Courier NewKÔÔ‡XXXÔÔS‡¡ô\  `&Times New RomanSÔÓ/%° °Ïî ,KkŠ©È (#/Ó<ÃÇÿÿ:z©Bottom of ÓI€—˜4$À˜ ** €€d€dIÓÓ  ÓÔB  ÔÔ € ÔÔ‡ÔÔ?‡¢%ä2¼A`Arial?ÔÓ9€Z˜*À  €€d€d9ÓÓ  ÓÔ‡XXXÔÔS‡¡ô\  `&Times New RomanSÔÔ € Ô&ÿÿ0 d d––––'þÿÈÈÈÈdxd÷ÿdÿÿÿd<ÃÇÿÿ:z©Top of ForÓI€—˜4$À˜** €€d€dIÓÓ  ÓÔB  ÔÔ € ÔÔ‡ÔÔ?‡¢%ä2¼A`Arial?ÔÓ9€Z˜*À  €€d€d9ÓÓ  ÓÔ‡XXXÔÔS‡¡ô\  `&Times New RomanSÔÔ € Ô0Klÿÿ.SampleÔK‡ <þ6X9`(Courier NewKÔÔS‡¡ô\  `&Times New RomanSÔ0ÿÿ.Strongò òó ó8dlÿÿ6TypewriterÔ‡ôôôÔÔK‡ <þ6X9`(Courier NewKÔÔ‡XXXÔÔS‡¡ô\  `&Times New RomanSÔ4ÿÿ2Variableòòóó:ÿÿ8HTML MarkupÔB  ÔÔ ÿ ÔÔ  Ô2 ÿÿ0CommentÔB  Ô<þ6X9`(Courier Newô\  `&Times New Roman%ä2¼A`ArialÝ ƒ!ÝÝ  ÝÔ_ÔÔ‡X•–X%%ÔChapter€3€in€King,€Rosen,€and€Tanner,€òòEcological€Inference:€New€Methodological€StrategiesóóÐ ° ÐÌò òUsing€Ecological€Inference€for€Contextual€Research:Ð ¤ô ÐWhen€Aggregation€Bias€Is€the€Solution€as€Well€as€the€ProblemÔ#†%c´%XX•–+#Ôó óÐ žî ÐÌò òD.€Stephen€Vossó óÐ y É ÐòòUniversity€of€KentuckyóóÐ [ « ÐÔ4‚aÝ °ÔÝ‚bÍOÝÔÿÔòòÝ  ÝÔ5  Ôdsvoss@uky.eduÔ6ÝÔÝ‚bÍOñƒÝóóÔÿÔÝ  ÝÔ7Ý Š ÔÐ < Œ Ðhttp://www.uky.edu/~dsvossÌÌÌÓ€Óà  àDebate€over€Gary€Kingððs€proposed€solution€to€the€ecological€inference€problem€(King€1997)€hasÏbegun€to€emerge€in€journals€oriented€toward€statistics€and€political€methodology.€€For€the€most€part,€thisÏdebate€has€operated€at€a€theoretical€level€ð!ð€evaluating€properties€of€the€estimators€generated€by€KingððsÏmethod€(as€well€as€his€supplementary€software,€Ô_ÔEIÔ_Ô€and€Ô_ÔEzIÔ_Ô).€€The€tone€of€the€debate€has€been€ratherÏcritical€of€Kingððs€attempted€advance€in€ecological€inference€(Ô_ÔHerronÔ_Ô€and€Ô_ÔShottsÔ_Ô€2003;€Ô_ÔMcCueÔ_Ô€2001;ÏRivers€1998),€and€diagnostic€trials€introduced€in€this€context€have€not€produced€favorable€results€(Ô_ÔAnselinÔ_ÔÏand€Ô_ÔChoÔ_Ô€2002;€Ô_ÔChoÔ_Ô€1998;€Freedman€et€al.€1998).€€At€the€same€time,€substantive€applications€using€KingððsÏmethod€have€begun€to€appear€in€social„science€journals€(e.g.,€Burden€and€Kimball€1998;€Gay€2001;ÏÔ_ÔGimpelÔ_Ô€and€Ô_ÔSchuknechtÔ_Ô€2002;€Liu€2001;€Lublin€and€Voss€2002;€Voss€and€Miller€2001).€€Not€only€haveÏthese€manuscripts€successfully€cleared€the€peer„review€process€for€numerous€respectable€outlets,€theÏauthors€also€report€concrete€diagnostic€checks€that€indicate€the€relative€success€of€Ô_ÔEIÔ_Ô€at€solving€difficultÏestimation€problems.Ìà  àDisagreement€between€theoretical€critiques€and€substantive€applications€is€not€unique€toÏaggregate„data€analysis.€€Critics€generally€compare€a€method€against€ideal€statistical€properties,€so€theÏincentive€is€to€identify€data€that€illustrate€methodological€problems.€€Analysts,€by€contrast,€generallyÏcompare€a€method€against€convenient€alternatives;€the€incentive€is€to€defend€whichever€statistical€toolsÏthey€select.€€Unfortunately,€the€pressures€that€drive€apart€theory€and€practice€worsen€in€the€instance€ofÏecological€inference.€€Success€depends€heavily€upon€the€amount€of€information€lost€in€the€aggregationÏprocess€and€the€contextual€knowledge€that€an€analyst€exploits€when€trying€to€recapture€lost€information.€ÏCritics€face€little€difficulty€identifying€data€that€will€lead€methods€of€ecological€inference€astray,€whereasÏknowledgeable€analysts€can€tweak€performance€out€of€a€statistical€tool€that€it€would€not€exhibit€if€appliedÏnaively.€€The€result€is€a€dissonance€that€can€only€confuse€practitioners€waiting€for€the€methodologicalÏliteratureððs€final€verdict€on€a€statistical€innovation.Ìà  àMy€purpose€in€this€chapter€is€to€lay€out,€in€relatively€accessible€terms,€why€Kingððs€solution€to€theÐ -W(9 Ðecological€inference€problem€represents€a€path„breaking€development€that€should€fundamentally€changeÏscholarly€standards€for€what€is€acceptable€in€aggregate„data€analysis.€€However,€I€do€not€simplyÏsummarize,€in€less„technical€vocabulary,€the€various€statistical€virtues€that€King€already€has€documentedÏÖ€wÿÿÖon€behalf€of€his€approach€(1997,€1999,€2000,€2002).€€Rather,€I€focus€on€Ô_ÔEIÔ_Ô€as€a€substantive€resource€forÏconducting€what€social€scientists€customarily€call€ð ðcontextual€research.ðð€€Kingððs€approach€helps€theÏanalyst€probe€theoretically€important€contextual€effects€that€undermined€previous€methods€of€ecologicalÏinference€because€these€methods€had€to€assume€them€away.€€Unlike€the€conventional€forms€ofÏaggregate„data€analysis€that€preceded€it,€Kingððs€approach€holds€out€some€possibility€for€pulling€apartÏcompositional€and€contextual€patterns€ð!ð€that€is,€for€determining€the€extent€to€which€social€behavior€variesÏfrom€place€to€place€because€of€changes€in€the€balance€of€social€groups€composing€each€locale,€and€theÏextent€to€which€social€behavior€varies€because€of€how€each€social€group€reacts€to€the€context€in€which€itÏoperates.׃×Ý ƒ#ÃÝòòÚ  Ú1Ú  ÚóóÝ  Ý×  ×Ð Õ{ Ðà  àPursuing€this€argument€requires€four€distinct€steps.€€The€body€of€the€chapter€begins€by€embeddingÏecological€inference€within€the€needs€of€contextual€research€to€show€why€they€are€inextricably€linked.€ÏThe€aggregation€bias€that€spoils€conventional€ecological€inference€derives€in€large€part€from€the€veryÏsame€contextual€effects€central€to€social€theories€of€human€behavior.€€The€second€section€reviews€whyÏKingððs€method€is€sensitive€to€aggregation€bias,€which€in€turn€means€that€it€provides€leverage€for€capturingÏotherwise„elusive€contextual€effects.€€The€third€section€explains€why€previous€diagnostic€tests€do€not€giveÏa€good€picture€of€Ô_ÔEIÔ_Ôððs€value€for€contextual€research.€€The€extant€critiques€analyze€patently€uninformativeÏdata€and€neglect€to€incorporate€the€sort€of€substantive€insights€that€normally€would€be€available€to€anÏanalyst€applying€the€method.׃M}×Ý ƒ#ÃÝòòÚ  Ú2Ú  ÚóóÝ  Ý×  ×Ð ® T( Ðà  àThe€final€section€therefore€exhibits€Kingððs€approach€in€action€to€show€how€it€is€especially€valuableÏfor€contextual€research€by€analysts€armed€with€informative€data€or€with€a€significant€background€in€theÏsubstance€of€their€topics.€€In€particular,€it€applies€Kingððs€innovations€to€real€data€collected€to€addressÐ ¡$G. Ðgenuine€research€questions€in€racial€voting€behavior,€and€it€illustrates€the€unprecedented€success€of€hisÏstatistical€tools.€€Techniques€of€ecological€inference€still€have€far€to€go,€and€numerous€enhancements€stillÏawait€practical€implementation€(as€illustrated€by€the€many€essays€in€this€volume).€€But€all€of€the€sound€andÏfury€generated€by€this€scholarly€ferment€ð!ð€which€will€give€numerous€reminders€why€Ô_ÔEIÔ_Ô€is€imperfect€ð!ðÏshould€not€distract€practitioners€from€the€simple€fact€that€Kingððs€method€is€far€superior€to€the€tools€uponÏwhich€both€scholars€and€policy€makers€previously€relied.€€The€criticism€of€King€should€not€serve€as€anÏexcuse€to€continue€using€those€older€methods.ÌÌÓ  Óò òHow€Ecological€Analysis€Killed€Ecological€Inferenceó óР∠ ÐÓèÓà  àContextual€theories€of€political€behavior€generally€characterize€how€individuals€respond€to€theirÏsocial€environment.€€They€recognize€that€individuals€view€political€life€through€different€lenses€dependingÏupon€the€communities€they€inhabit.€€People€experience€different€pressures€and€face€different€incentivesÏbecause€of€where€they€happen€to€reside.€€Different€memories€and€different€symbols€shape€their€politicalÏlives,€and€the€schema€that€structure€this€emotion„laden€raw€material€may€be€shared€narratives€that€haveÏemerged€from€a€geographically€bounded€stream€of€communication€(Ô_ÔCoutoÔ_Ô€1993).€€This€complex,€sociallyÏembedded€perspective€motivated€many€early€Ô_ÔempiricistsÔ_Ô€in€political€science,€including€the€ð ðquintessentialÏpolitical€scientist,ðð€Ô_ÔV.O.Ô_Ô€Key,€Jr.€(Lucker€2001;€Natchez€1985,€74,€94„99).€€It€eventually€faded€in€favor€ofÏhighly€individualistic€approaches€to€political€behavior€grounded€in€social€psychology,€as€epitomized€by€theÏMichigan€model€of€voting€behavior.׃P×Ý ƒ#ÃÝòòÚ  Ú3Ú  ÚóóÝ  Ý×  ×Ð ´$ Ðà  àSurveys€encourage€individualistic€approaches€to€politics.€€They€sample€random€people€in€isolationÏand€ask€for€their€subjective€perceptions.€€Secondary€analysis€often€explains€opinion€with€opinion€andÏpreference€with€preference;€the€burden€seldom€falls€on€researchers€to€trace€raw€opinions€back€to€anyÏtangible€source€(Natchez€1985,€64„67).€€In€particular,€analysts€rarely€consider€the€strongest€communityÏattachments€that€individuals€might€have€ð!ð€family,€friends,€church,€school,€neighborhood,€county,Ïnewspaper€ð!ð€because€they€are€localized.׃Lë×Ý ƒ#ÃÝòòÚ  Ú4Ú  ÚóóÝ  Ý×  ×€€Secondary€analysts€may€not€even€possess€the€contextualÐ ô%š0 Ðinformation€needed€to€allow€such€nuance.€€Political€actors€inherently€appear€as€disembodied€souls€in€workÐ E'ë 2 Ðdeveloped€from€such€a€data€source.€€By€contrast,€aggregate€statistics€summarize€the€social€environmentÏshaping€political€behavior.€€They€portray€many€of€the€external€incentives€and€pressures€that€operate€onÏpolitical€actors,€especially€those€bounded€by€geography.€€With€reliable€methods€of€aggregate„data€analysis,Ïdeeper€insights€about€the€social€nature€of€politics€would€be€possible,€so€the€line€between€contextualÏanalysis€and€aggregate„data€analysis€is€hazy€and€to€some€extent€their€fates€have€always€been€tiedÏtogether.Ìà  àSociologists€recognized€long€ago€the€intimate€connection€between€aggregation€and€attempts€toÏÔ_ÔcontextualizeÔ_Ô€human€behavior.€€Indeed,€the€language€we€still€use€to€discuss€aggregate„data€analysisÏreflects€their€awareness.€€They€used€biological€metaphors€to€discuss€how€humans€related€to€the€pressuresÏof€a€social€environment,€implicitly€or€explicitly€comparing€the€process€to€a€species€interacting€with€itsÏecology.€€Ecological€analysis,€when€applied€to€human€behavior,€meant€studying€contextual€effects€on€howÏpeople€acted€and€what€they€believed.€€Therefore,€when€aggregate„data€analysis€suffered€a€series€of€high„¼profile€attacks€that€undermined€confidence€in€available€methods€(e.g.,€Goodman€1953;€Robinson€1950),Ïthe€natural€result€was€a€decline€in€ecological€or€contextual€studies.Ìà  àFew€early€critics€discussed€the€ironic€tension€between€ecological€inference€and€ecological€analysisÏð!ð€the€focus€tended€to€be€on€fallacious€conclusions€rather€than€their€substantive€origin€ð!ð€yet€it€wasÏprecisely€the€importance€of€human€ecology€that€made€aggregate„data€techniques€for€ecological€inferenceÏso€unreliable€(Ô_ÔHauserÔ_Ô€1970).€€Contextual€behavior€undermined€the€very€data€conventionally€available€toÏstudy€political€context.€€For€this€reason,€the€two€most€common€approaches€to€aggregate„data€analysisÏassume€that€contextual€effects€do€not€exist.€€They€require€analysts€to€believe€that€members€ofÏdemographic€groups€act€the€same€way€everywhere;€demographic€variation€in€their€communities€bears€noÏrelation€to€how€people€behave.€€ð ðHomogeneous€unit€analysis,ðð€for€example,€requires€the€researcher€toÏassume€that€places€where€a€group€is€numerically€dominant€will€be€representative€of€how€the€group€acts€inÏmore€diverse€places€(MacManus€1995,€45n).€€Linear€ð ðecological€regression,ðð€meanwhile,€explicitlyÏassumes€that€all€systematic€behavioral€variation€is€compositional,€none€is€contextual€(see€the€IntroductionÏ[King,€Rosen,€and€Tanner].׃f×Ý ƒ#ÃÝòòÚ  Ú5Ú  ÚóóÝ  Ý×  ×Ð C'é 2 Ðà  àA€quick€formal€exploration€illustrates€why€linear€ecological€regression€is€almost€useless€in€theÐ ”(:"4 Ðpresence€of€contextual€effects.׃k×Ý ƒ#ÃÝòòÚ  Ú6Ú  ÚóóÝ  Ý×  ×€€Analysts€regress€an€aggregate€political€outcome€on€the€populationÐ Z Ðdensity€of€each€demographic€group,€and€interpret€the€resulting€coefficients€as€rates€of€behavior.€€Take€theÏcase€of€black€(Xòòióó)€and€white€(1„Xòòióó)€voting€for€the€left„wing€candidate€in€an€election€(VòòióóòòLóó).€€The€assumedÐ ü¢ Ðlinear€relationship,€across€multiple€areal€units€ð ðiðð,€would€take€on€the€following€form:€×ƒqë×Ý ƒ#ÃÝòòÚ  Ú7Ú  ÚóóÝ  Ý×  ×Ð M ó ÐÔ‡¼Pï »%%c´ÔÔ_ÔVòòióóòòLÔ_Ôóó€à0  à=€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤1#ÔòòóóòòbóóXòòiÔ_Ôóó€+€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤–1#ÔòòóóòòwÔ_Ôóó(1€ð!ðÔ#†%c´% »¼Pï¾0#ÔÔ‡¼Pï »%%c´Ô€Xòòióó)€+€Ô_ÔuòòiÔ_ÔóóО D(#(# ÐÔ#†%c´% »¼Pï02#Ôwhere€Ô_ÔuòòiÔ_Ôóó€is€a€complex€residual€to€capture€how€voting€differs€from€that€predicted€by€the€two€coefficients.׃jE×Ý ƒ#ÃÝòòÚ  Ú8Ú  ÚóóÝ  Ý×  ׀Рa   ÐThis€form€of€the€regression€lacks€an€intercept,€but€transforming€the€model€to€a€bivariate€version€with€aÏconstant€term€is€simple:ÌÔ‡¼Pï »%%c´ÔÔ& † ÔÔ_ÔVòòióóòòLÔ_Ôóó€à0  à=€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤©4#ÔòòóóòòbóóXòòiÔ_Ôóó€+€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤$5#ÔòòóóòòwÔ_Ôóó€ð!ðÔ#†%c´% »¼Pï@4#ÔÔ‡¼Pï »%%c´Ô€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤Ü5#ÔòòwóóXòòiÔ_Ôóó€+€Ô_ÔuòòiÔ_ÔóóÐTú (#(# Ðà  à=€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤¦6#ÔòòóóòòwÔ_Ôóó€+€(Ô‡¼O¤ » »¼PïÔbÔ#†¼Pï » »¼O¤7#Ôòòóóòòbóó€ð!ðÔ#†%c´% »¼Pï¼5#ÔÔ‡¼Pï »%%c´Ô€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤²7#ÔòòwÔ_Ôóó)Xòòiò…òó…óóó€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼Pï’7#ÔÔ'†¼_4ÔÐ ½  ÐBoth€political€outcomes€(Ô_ÔVòòióóòòLÔ_Ôóó)€and€racial€densities€(Xòòióó)€usually€appear€in€aggregate€data.€€One€generallyÐ Ú€ Ðlacks€the€frequencies€that€would€appear€in€a€cross„tabulation,€though:€the€proportion€of€blacks€(Ô‡%o %%%c´ÔbÔ#†%c´% %%o±9#Ôòòbóó)€andÐ +Ñ Ðwhites€(Ô‡%o %%%c´ÔÔ_ÔbÔ#†%c´% %%o:#ÔòòwÔ_Ôóó)€who€supported€the€left„wing€candidate.Ð 6 Ðà  àThe€lack€of€an€index€for€either€parameter€illustrates€the€common€assumption€that€ethnic€rates€ofÏbehavior€are€constant€across€areal€units,€which€is€what€makes€a€least„squares€method€of€estimation€soÏconvenient.€€When€this€assumption€is€false€ð!ð€when€members€of€an€ethnic€group€do€not,€on€average,Ïbehave€the€same€way€everywhere€ð!ð€the€data€may€contain€aggregation€bias.€€Estimates€from€this€simpleÏmodel€can€fall€quite€far€from€the€truth€because€they€attribute€contextual€variation€in€one€groupððs€behaviorÏto€the€other€group.Ìà  àConsider€a€simple€contextual€effect,€in€which€whites€support€the€left„wing€candidate€at€a€higherÏrate€when€they€live€in€heavily€minority€areas€(Voss€and€Lublin€2001).€€The€formula€for€left„wing€supportÏnow€contains€a€shifting€parameter,€Ô‡%o %%%c´ÔÔ_ÔbÔ#†%c´% %%oÞ=#ÔòòióóòòwÔ_Ôóó,€which€might€be€a€linear€function€of€racial€density:Ð }##* ÐÔ‡¼Pï »%%c´ÔÔ_ÔVòòióóòòLÔ_Ôà0  àóó=€Ô‡¼O¤ » »¼PïÔbÔ#†¼Pï » »¼O¤õ>#Ôòòóóòòbóó€Xòòióó€+€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤Q?#ÔòòióóòòwÔ_Ôóó€(1€ð!ðÔ#†%c´% »¼Pï™>#ÔÔ‡¼Pï »%%c´ÔXòòióó)€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼Pïí?#ÔÔ‡¼Pï »%%c´ÔÐZ(#(# ÐÔ#†%c´% »¼Pïc@#ÔÔ‡¼Pï »%%c´Ôà  à=€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤ñ@#ÔòòióóòòwÔ_ÔóóÔ#†%c´% »¼PïÄ@#ÔÔ‡¼Pï »%%c´Ô€Ô#†%c´% »¼Pï…A#ÔÔ‡¼Pï »%%c´Ô+€(Ô‡¼O¤ » »¼PïÔbÔ#†¼Pï » »¼O¤êA#Ôòòóóòòbóó€ð!ðÔ#†%c´% »¼PïÈA#ÔÔ‡¼Pï »%%c´Ô€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤‚B#ÔòòióóòòwÔ_Ôóó)Ô#†%c´% »¼PïbB#Ô€Ô‡¼Pï »%%c´ÔXòòiÔ#†%c´% ¤¼PïC#Ôò…òó…óÔ‡¼Pï »J%c´Ôóó€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼PïeC#ÔÔ‡¼Pï »%%c´Ô€Ô#†%c´% »¼PïÕC#ÔÔ‡¼Pï »%%c´Ôà0 h àÔ#†%c´% »¼PïD#ÔÔ‡&c´%%%c´ÔwhereÔ#†%c´%%&c´fD#ÔÔ‡¼Pï »%%c´Ô€Ô‡¼O¤ » »¼PïÔÔ#†%o % »¼O¤­D#ÔÔ‡¼O¤ » %%oÔÔ_ÔbÔ#†¼Pï » »¼O¤ÍD#ÔòòióóòòwÔ_Ôóó€=€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤ƒE#Ôòò0óó€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤ÐE#Ôòò1óó€XòòiÔ#†%c´% ¤¼PïE#ÔóóÔ‡¼Pï »%%c´ÔÐÃh(#h(# ÐÔ#†%c´% »¼PïFF#ÔÔ‡&c´%%%c´ÔNaive€ecological€regression,€performed€on€data€of€this€sort,€will€not€estimate€the€desired€quantities€(i.e.,€Ô‡&o %%&c´ÔbÔ#†&c´% %&o3G#ÔòòbóóÐ à † Ðand€the€weighted€average€of€Ô‡&o %%&c´ÔÔ_ÔbÔ#†&c´% %&o®G#ÔòòióóòòwÔ_Ôóó,€presuming€all€other€assumptions€of€the€model€were€correct).€€Instead,€itÐ E ë Ðwould€turn€up€the€following:ÌÓ$` ƒX(#€%°œX$ÓÔ#†%c´%%&c´§F#ÔÔ‡¼Pï »%%c´ÔÔ_ÔVòòióóòòLÔ_ÔóóÔ#†%c´% »¼PïâH#ÔÔ‡¼Pï »%%c´Ôà  à=€Ô‡¼O¤ » »¼PïÔbÔ#†¼Pï » »¼O¤€I#Ôòòóóòòbóó€Xòòióó€+€Ô‡¼O¤ » »¼PïÔÔ_ÔbÔ#†¼Pï » »¼O¤ÜI#ÔòòióóòòwÔ_Ôóó€(1€ð!ðÔ#†%c´% »¼PïSI#ÔÔ‡¼Pï »%%c´Ô€Xòòióó)€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼PïxJ#ÔÔ‡¼Pï »%%c´ÔÐ û ¡  ÐÔ#†%c´% »¼PïïJ#ÔÔ‡¼Pï »%%c´Ôà  à=€Ô‡¼O¤ » »¼PïÔbÔ#†¼Pï » »¼O¤sK#Ôòòóóòòbóó€Xòòióó€+€(Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤ÐK#Ôòò0óó€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤L#Ôòò1óóXòòióó)€(1€ð!ðÔ#†%c´% »¼PïFK#ÔÔ‡¼Pï »%%c´Ô€Xòòióó)€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼Pï›L#ÔÔ‡¼Pï »%%c´ÔÐ ¾d  ÐÔ#†%c´% »¼PïM#ÔÔ‡¼Pï »%%c´Ôà  à=€Ô‡¼O¤ » »¼PïÔbÔ#†¼Pï » »¼O¤–M#Ôòòóóòòbóó€Xòòióó€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤òM#Ôòò0óó€(1€ð!ðÔ#†%c´% »¼PïiM#ÔÔ‡¼Pï »%%c´Ô€Xòòióó)Ô#†%c´% »¼PïgN#ÔÔ‡¼Pï »%%c´Ô€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤ÕN#Ôòò1óóXòòióóÔ#†%c´% »¼Pï³N#ÔÔ‡¼Pï »%%c´Ô€(1€ð!ðÔ#†%c´% »¼PïJO#ÔÔ‡¼Pï »%%c´Ô€Xòòióó)Ô#†%c´% »¼Pï”O#ÔÔ‡¼Pï »%%c´Ô€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼PïàO#ÔÔ‡¼Pï »%%c´ÔÐ '  ÐÓ( °œX` ƒX(#X›H(ÓÔ#†%c´% »¼PïMP#ÔÔ‡¼Pï »%%c´Ôà  à=€[Ô‡¼O¤ » »¼PïÔbÔ#†¼Pï » »¼O¤úP#Ôòòóóòòbóó€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤MQ#Ôòò1óó€(1€ð!ð€Xòòióó)]€Xòòióó€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤¶Q#Ôòò0óó€(1€ð!ð€Xòòióó)€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼PïÌP#ÔÐ Dê  ÐThe€estimated€white€support€for€the€left„wing€candidate,€therefore,€will€be€Ô‡%o %%%c´ÔgÔ#†%c´% %%oÁR#Ôòò0óó€only€ð!ð€too€low€if€theÐ ­ Ðcontextual€effect€Ô‡%o %%%c´ÔgÔ#†%c´% %%oKS#Ôòò1óó€is€positive.€Similarly,€the€coefficient€estimated€for€black€density€will€be€Ô‡%o %%%c´ÔbÔ#†%c´% %%oâS#Ôòòbóó+Ô‡%o %%%c´ÔgÔ#†%c´% %%o-T#Ôòò1óó(1ð!ðXòòióó),Ð l Ðwhich€would€be€too€high.€€This€is€why€analysts€often€estimate€that€Democratic€support€among€blacksÏexceeds€100%€(see€King€1997,€16).Ìà  àOf€course,€one€can€adjust€the€model€for€this€simple€case€of€parameter€variation.€€Applying€theÏdistributive€property€and€then€regrouping€provides:ÌÔ‡¼Pï »%%c´Ôà  à=€Ô‡¼O¤ » »¼PïÔbÔ#†¼Pï » »¼O¤íU#Ôòòóóòòbóó€XòòióóÔ#†%c´% »¼PïÀU#ÔÔ‡¼Pï »%%c´Ô€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤‹V#Ôòò1óó€XòòióóÔ#†%c´% »¼PïiV#ÔÔ‡¼Pï »%%c´Ô€ð!ð€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤&W#Ôòò1óóÔ#†%c´% »¼PïW#ÔÔ‡¼Pï »%%c´Ô€Xòòióóòò2óóòòóó€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤ËW#Ôòò0óó€ð!ð€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤X#Ôòò0óóÔ#†%c´% »¼Pï“W#ÔÔ‡¼Pï »%%c´Ô€Xòòióó€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼PïˆX#ÔÐ » ÐÔ‡¼Pï »%%c´Ôà  à=€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤@Y#Ôòò0óóÔ#†%c´% »¼PïY#ÔÔ‡¼Pï »%%c´Ô€+€(Ô‡¼O¤ » »¼PïÔbÔ#†¼Pï » »¼O¤ÐY#Ôòòóóòòbóó€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤#Z#Ôòò1óóÔ#†%c´% »¼Pï­Y#ÔÔ‡¼Pï »%%c´Ô€ð!ð€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤µZ#Ôòò0óóÔ#†%c´% »¼PïZ#ÔÔ‡¼Pï »%%c´Ô)€XòòióóÔ#†%c´% »¼Pï"[#ÔÔ‡¼Pï »%%c´Ô€ð!ð€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤“[#Ôòò1óóÔ#†%c´% »¼Pïn[#ÔÔ‡¼Pï »%%c´Ô€Xòòióóòò2óóòòóóÔ#†%c´% »¼Pï\#ÔÔ‡¼Pï »%%c´Ô€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼PïX\#ÔÐ Ø~  ÐOne€can€compute€the€three€parameters€of€interest€after€running€that€regression.€€However,€if€white€andÏblack€vote€choices€òòbothóó€vary€with€the€racial€density€of€the€locale,€either€directly€or€indirectly,€then€linearÐ ì!’$ Ðecological€regression€is€impossible€because€the€parameters€are€Ô_ÔunderidentifiedÔ_Ô.€€We€would€need€not€Ô‡%o %%%c´ÔbÔ#†%c´% %%oM^#Ôòòbóó€butÐ =#ã& Ðthe€weighted€average€of€Ô‡%o %%%c´ÔbÔ#†%c´% %%oÈ^#Ôòòióóòòbóó:Ð ¢$H( ÐÔ‡¼Pï »%%c´Ôà  à=€Ô‡¼O¤ » »¼PïÔbÔ#†¼Pï » »¼O¤\_#Ôòòióóòòbóó€XòòióóÔ#†%c´% »¼Pï/_#ÔÔ‡¼Pï »%%c´Ô€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤û_#Ôòò1óó€XòòióóÔ#†%c´% »¼PïÙ_#ÔÔ‡¼Pï »%%c´Ô€ð!ð€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤–`#Ôòò1óóÔ#†%c´% »¼Pïq`#ÔÔ‡¼Pï »%%c´Ô€Xòòióóòò2óóòòóó€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤;a#Ôòò0óó€ð!ð€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤‹a#Ôòò0óóÔ#†%c´% »¼Pïa#ÔÔ‡¼Pï »%%c´Ô€Xòòióó€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼Pïøa#Ôà0 p àà0Èp(#p(#àwhere€€Ô‡%o %%%c´ÔÔ‡¼O¤ » %%oÔbÔ#†¼Pï » »¼O¤•b#Ôòòióóòòbóó€=€Ô‡¼O¤ » »¼PïÔrÔ#†¼Pï » »¼O¤c#Ôòò0óó€+€Ô‡¼O¤ » »¼PïÔrÔ#†¼Pï » »¼O¤Uc#Ôòò1óóXòòióóÔ#†%c´% »¼Pï´b#ÔÐ&­*È(#È(# ÐÔ‡¼Pï »%%c´Ôà  à=€(Ô‡¼O¤ » »¼PïÔrÔ#†¼Pï » »¼O¤d#Ôòò0óó€+€Ô‡¼O¤ » »¼PïÔrÔ#†¼Pï » »¼O¤dd#Ôòò1óóXòòióóÔ#†%c´% »¼Pïéc#ÔÔ‡¼Pï »%%c´Ô)€XòòióóÔ#†%c´% »¼PïÙd#ÔÔ‡¼Pï »%%c´Ô€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤Ge#Ôòò1óó€XòòióóÔ#†%c´% »¼Pï%e#ÔÔ‡¼Pï »%%c´Ô€ð!ð€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤âe#Ôòò1óóÔ#†%c´% »¼Pï½e#ÔÔ‡¼Pï »%%c´Ô€Xòòióóòò2óóòòóó€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤‡f#Ôòò0óó€ð!ð€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤×f#Ôòò0óóÔ#†%c´% »¼PïOf#ÔÔ‡¼Pï »%%c´Ô€Xòòióó€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼PïDg#ÔÐ Ê'p!, ÐÔ‡¼Pï »%%c´Ôà  à=€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤üg#Ôòò0óóÔ#†%c´% »¼PïÏg#ÔÔ‡¼Pï »%%c´Ô€+€(Ô‡¼O¤ » »¼PïÔrÔ#†¼Pï » »¼O¤Œh#Ôòò0óó€+€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤Ùh#Ôòò1óó€ð!ð€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤)i#Ôòò0óóÔ#†%c´% »¼Pïih#ÔÔ‡¼Pï »%%c´Ô)€XòòióóÔ#†%c´% »¼Pï–i#ÔÔ‡¼Pï »%%c´Ô€+€(Ô‡¼O¤ » »¼PïÔrÔ#†¼Pï » »¼O¤j#Ôòò1óóÔ#†%c´% »¼Pïâi#ÔÔ‡¼Pï »%%c´Ô€ð!ð€Ô‡¼O¤ » »¼PïÔgÔ#†¼Pï » »¼O¤—j#Ôòò1óó)Ô#†%c´% »¼Pïrj#ÔÔ‡¼Pï »%%c´Ô€Xòòióóòò2óóÔ#†%c´% »¼Pïk#ÔÔ‡¼Pï »%%c´Ô€+€Ô_ÔuòòiÔ_ÔóóÔ#†%c´% »¼PïWk#ÔÐ )3#. ÐIt€is€impossible€to€compute€the€four€parameters€of€interest€that€are€now€necessary.Ìà  àThe€failure€of€conventional€forms€of€ecological€inference€therefore€amounts€to€more€than€just€theÏdanger€of€getting€wrong€answers,€of€committing€an€ð ðecological€fallacy.ðð€€For€contextual€analysis,€theyÐ ò-˜'4 Ðnever€provide€any€answers€at€all.ÌÌò òÓ  ÓEnter€the€Method€of€Boundsó óÐ ü¢ ÐÓBmÓà  àKing's€(1997)€approach€offers€some€hope€of€capturing€systematic€geographical€variation€throughÏa€method€of€statistical€inference.€€This€is€not€the€place€to€summarize€Kingððs€proposed€solution€to€theÏecological„inference€problem;€a€review€appears€in€the€Introduction€[King,€Rosen,€and€Tanner].€€However,Ïthe€critical€wrinkle€for€contextual€analysis€is€Kingððs€use€of€the€deterministic€ð ðmethod€of€boundsðð€(DuncanÏand€Davis€1953).€€The€basic€insight€is€fairly€simple.€€Consider€a€locale€in€which€the€Democratic€candidateÏwins€50%€of€the€vote€and€25%€of€the€voters€are€black.€€Even€if€every€African€American€votedÏDemocratic,€whites€must€account€for€the€remaining€25%€of€the€Democratic€candidateððs€votes.€€At€least€aÏthird€of€whites€mathematically€must€have€voted€that€way€(although€more€may€have,€if€some€blacks€votedÏRepublican).€€So€the€possible€white€vote€in€this€hypothetical€example€is€not€between€0%€and€100%;€theÏminimum€is€33%.€€Add€up€all€the€constraints€on€what€is€possible,€maxima€and€minima,€from€areal€unit€toÏareal€unit,€and€you€may€have€quite€a€lot€of€information€about€larger€electoral€districts.Ìà  àAs€the€Introduction€[King,€Rosen,€and€Tanner]€explains,€Ô_ÔEIÔ_Ô€identifies€from€the€outset€the€completeÏset€of€possible€rates€of€racial€voting€behavior€ð!ð€not€for€an€electoral€district€as€a€whole,€but€for€each€arealÏunit€it€contains.€€Furthermore,€Ô_ÔEIÔ_Ô€goes€beyond€the€simple€method€of€bounds€by€considering€the€two€ratesÏof€group€behavior€simultaneously.€€It€takes€into€account€the€linear€relationship€between€how€one€groupÏcould€have€behaved€and€how€the€other€could€have€in€order€to€produce€the€final€vote€totals€(see€Equation€5Ïin€the€Introduction€[King,€Rosen,€and€Tanner]).€€Ô_ÔEIÔ_Ô€therefore€constrains€estimates€of€òòjointóó€behavior,Ð _& Ðreducing€the€range€of€estimates€for€each€areal€unit€to€a€series€of€exclusive€pairs.Ìà  àBy€exploiting€the€deterministic€information€in€the€data€so€thoroughly,€Ô_ÔEIÔ_Ô€has€the€potential€to€detectÏand€adjust€for€contextual€patterns.€€This€is€best€understood€using€the€ð ðtomography€plot,ðð€a€graphicalÏrepresentation€of€the€line€segments€for€each€areal€unit€in€an€analysis€(see€the€first€figure€in€theÏIntroduction€[King,€Rosen,€and€Tanner],€and€its€accompanying€explanation).€€Figure€1€presents€a€plotÏcontaining€line€segments€for€a€random€selection€of€25%€of€1996€precincts€in€Georgiaððs€secondÏcongressional€district€(see€Voss€and€Lublin€2001).Ô_Ô׃×Ý ƒ#ÃÝòòÚ  Ú9Ú  ÚóóÝ  Ý×  ×Ô_Ô€€Horizontal€lines€correspond€to€precincts€that€areÐ –(<"4 Ðalmost€entirely€white.€€They€contain€so€few€African€Americans€that€we€know€quite€precisely€how€whitesÐ ç)#6 Ðbehaved€but€almost€nothing€about€the€few€blacks,€which€is€why€the€slant€of€such€a€line€only€allows€a€smallÏrange€of€possible€values€on€the€Y„axis€but€any€value€on€the€X„axis.€€A€segment€becomes€more€vertical,Ïhowever,€as€black€voters€increase€proportionally.€€We€are€less€sure€how€many€whites€supported€theÏDemocrat€in€these€mixed€counties,€because€the€aggregate€data€also€include€a€large€black€population.ÌÓ  Ó(Figure€1€about€here)ÌÓrzÓà  àÌà  àThe€narrow€bounds€that€can€appear€for€areal€units€often€will€push€estimates€from€a€basic€Ô_ÔEIÔ_ÔÏanalysis€into€a€contextual€pattern.€€This€pattern€alerts€the€analyst€that€the€data€contain€aggregation€bias.€ÏFigure€1€illustrates€how€the€bounds€inform€ecological€inference.€€The€slanted€lines€often€run€up€against€theÏright€edge€of€the€unit€square€at€a€very€high€level€of€white€support€for€black€Democrat€Sanford€Bishop.€ÏThe€line€segments€cascade€downward€as€they€straighten€out,€though.€€All„white€precincts€are€less€likely€toÏstrike€a€high€value€on€the€right€edge€of€the€unit€square.€€Their€bounds€indicate€lower€levels€of€whiteÏsupport€for€Bishop.€€White€voters€clearly€supported€the€black€Democrat€at€higher€rates€when€they€lived€inÏa€racially€mixed€context,€and€even€the€simplest€versions€of€Ô_ÔEIÔ_Ô€will€capture€this€pattern€by€requiring€eachÏprecinct€estimate€to€be€possible.€€Figure€2€shows€how€simple€Ô_ÔEIÔ_Ô€estimates€run€on€these€data€follow€aÏcontextual€pattern.ÌÓ  Ó(Figure€2€about€here)ÌÓÜ~Óà  àNot€all€examples€of€aggregation€bias€will€be€as€obvious€as€the€one€I€have€selected€here€ð!ð€but€EIÏcan€pick€up€patterns€in€a€large€sample€that€are€too€subtle€for€the€naked€eye€to€detect.€€This€is€especiallyÏtrue€when€researchers€approach€an€analysis€with€theoretical€reasons€to€anticipate€the€contextual€effect.€InÏinstances€when€researchers€can€hypothesize€why€voting€rates€might€correlate€with€racial€density,€anÏextended€version€of€Kingððs€model€allows€the€introduction€of€covariates€to€explain€systematic€variation€inÏgroup€behavior€(see€Equation€10€in€the€Introduction€[King,€Rosen,€and€Tanner]).€€The€model€picks€upÏcontextual€variation€in€the€bounds€and€projects€that€pattern€onto€the€remaining€areal€units€whose€boundsÏwere€not€as€informative.€€Bounding€the€estimates€for€each€areal€unit,€and€building€up€estimates€for€a€largerÏelectoral€district€based€on€those€bounds,€therefore€allows€EI€to€function€even€if€both€racial€groups€exhibitÏsome€degree€of€contextual€behavior.€€It€is€not€underidentified€the€way€linear€regression€would€be.Ìà  àOf€course,€being€able€to€produce€estimates€does€not€guarantee€they€will€be€good€ones.€€TheirÏquality€depends€upon€how€much€information€the€bounds€provide.€€Critics€point€out€that€Kingððs€method€mayÏunderestimate€the€strength€of€contextual€patterns,€which€are€suppressed€by€the€aggregation€processÏ(Anselin€and€Cho€2002;€Cho€1998;€Rivers€1998).€€They€worry€about€variation€in€estimates€powered€byÐ Ø-~'< Ðresiduals€from€a€statistical€analysis€(Herron€and€Shotts€2003;€McCue€2001).€€These€are€valid€concerns.€ÏResearchers€should€understand€the€severity€of€the€limits;€methodologists€should€search€for€ways€toÏalleviate€the€dangers.€€Nevertheless,€the€ability€to€detect€even€a€healthy€portion€of€that€contextual€variationÏtakes€Kingððs€method€far€beyond€what€practitioners€were€using€for€the€five€decades€betweenÏconsciousness€of€this€problem€(Robinson€1950)€and€Kingððs€attempted€solution€(1997).ÌÌò òÓ  Óð ðIf€It€Is€So€Useful,€Then€Why€All€the€Criticism?ððó ó׃×Ý ƒ#ÃÝòòÚ  Ú10Ú  ÚóóÝ  Ý×  ×Ð @æ  ÐÓÒ†Óà  àKingððs€critics€have€complained€that€he€was€not€explicit€enough€about€when€EI€will€be€reliable€andÏwhen€it€will€be€unreliable€(Freedman€1998,€1520).€€For€the€most€part,€these€insights€long€precede€KingððsÏbook.€€An€extensive€literature€has€explored€when€data€aggregation€will€throw€away€more€or€lessÏinformation.€€King€(1997,€88„89)€also€presented€ð ðscattercross€graphs,ððÔ€oÂâÔ€as€described€by€Leo€GoodmanÏ(1959,€617„18),€that€provide€a€visual€means€of€determining€when€the€method€of€bounds€will€help€make€upÏfor€the€limitations€of€ecological€regression.€€Briefly,€here€are€the€ð ðrules€of€thumbðð€that€practitionersÏapparently€need.€€Ecological€inference€will€work€better€when:ÌÓL€ X##3XLÓÝ ‚3£ ÝÝ  ÝÝ‚3£­ŠÝÔ2#ÔÚ  Ú1Ú  Ú.Ô3  Ôà0  àÝ  ÝThe€group€of€interest€either€constitutes€a€large€majority€proportion€of€the€overall€population€or€isÐ Êw Ðrelatively€segregated€across€areal€units€(which€is€more€likely€when€areal€units€are€very€small).݃3£­ŠØŠÝŒÐ (#(# ÐŒÝ  ÝÝ ‚3£ ÝÝ  ÝÝ‚3£EŒÝÔ2#ÔÚ  Ú2Ú  Ú.Ô3  Ôà0  àÝ  ÝOutcomes€of€interest€approach€unanimity€in€particular€areal€units,€especially€the€ones€with€highlyÐ l# Ðmixed€populations;݃3£EŒpŒÝŒÐ (#(# ÐŒÝ  ÝÝ ‚3£ ÝÝ  ÝÝ‚3£ÝÔ2#ÔÚ  Ú3Ú  Ú.Ô3  Ôà0  àÝ  ÝData€contain€numerous€observations€to€insulate€the€estimation€from€errors€due€to€chance;݃3£¸ÝŒÐ»'(#(# ÐŒÝ  ÝÝ ‚3£ ÝÝ  ÝÝ‚3£¬ŽÝÔ2#ÔÚ  Ú4Ú  Ú.Ô3  Ôà0  àÝ  ÝThe€grouping€of€interest€identifies€a€politically€distinct€population€with€internally€similar€behaviorÐ _ ) Ðthat€differs€from€the€behavior€of€other€groups€ð!ð€that€is,€across„group€variation€outweighs€within„¼group€variation);݃3£¬Ž×ŽÝŒÐ (#(# ÐŒÝ  ÝÝ ‚3£ ÝÝ  ÝÝ‚3£]ÝÔ2#ÔÚ  Ú5Ú  Ú.Ô3  Ôà0  àÝ  ÝWithin„group€variation€across€areal€units€is€effectively€random,€resulting€from€innumerable€smallÐ R#ÿ/ Ðsources€rather€than€a€few€large€but€unmeasured€influences;݃3£]ˆÝŒÐ (#(# ÐŒÝ  ÝÝ ‚3£ ÝÝ  ÝÝ‚3£Ì‘ÝÔ2#ÔÚ  Ú6Ú  Ú.Ô3  Ôà0  àÝ  ÝAny€systematic€variation€in€a€groupððs€behavior€across€areal€units€does€not€respond€to€the€balanceÐ ô%¡"3 Ðamong€groups€in€each€place,€nor€does€it€respond€to€other€variables€that€are€correlated€with€groupÏdensity;݃3£Ì‘÷‘݌Р(#(# ÐŒÝ  ÝÝ ‚3£ ÝÝ  ÝÝ‚3£n“ÝÔ2#ÔÚ  Ú7Ú  Ú.Ô3  Ôà0  àÝ  ÝThe€researcher€possesses€sufficient€knowledge€of€the€subject€matter€to€inform€the€estimationÐ ç)”&9 Ðabout€possible€sources€of€systematic€within„group€variation€and€to€detect€fallacious€conclusions.݃3£n“™“݌Р(#(# ÐŒÝ  Ýà  àKingððs€solution€does€not€alter€any€of€these€generalizations.€€It€still€performs€better€with€detailedÏdata.€€It€is€still€hindered€by€contextual€patterns€when€bounds€are€uninformative.€€It€still€does€not€provide€aÏpanacea€for€analysts€lacking€substantive€familiarity€with€their€data.ÌÌò òWhy€Kingððs€Method€Performs€Better€with€Poor€Dataó óÐ ï •  Ðà  àThe€similarities€between€Kingððs€approach€and€ecological€regression€leads€Douglas€Rivers€(1998,Ï442)€to€warn€readers€against€thinking€ð ðthat€King€has€somehow€relaxed€the€assumptions€of€ecologicalÏregression.ðð€€He€dismisses€EIððs€ð ðfanfareðð€and€ð ðnotorietyðð€as€undeserved€because€Kingððs€approach€reliesÏon€assumptions€that€ð ðinclude€all€those€required€for€Goodmanððs€estimator€and€then€some.ðð€€€This€critique€isÏmisleading€at€best.€€It€implies€that€ecological€regression€is€somehow€a€generalized€form€of€KingððsÏapproach,€requiring€fewer€assumptions€ð!ð€which€would€make€Kingððs€method€more€susceptible€to€faultyÏapplication.€€In€fact,€the€reverse€is€the€case.€€Kingððs€method€is€less€vulnerable€to€faulty€assumptions€ð!ð€notÏbecause€the€assumptions€have€become€completely€irrelevant,€but€because€the€method€of€bounds€helpsÏavoid€analytical€dependence€on€them.Ìà  àFurthermore,€some€assumptions€of€ecological€regression€do€not€appear€in€Kingððs€method€andÏtherefore€have€been€ð ðrelaxedðð€even€in€the€sense€that€methodologists€usually€use€the€word€(i.e.,€dropped).€ÏFor€example,€EI€does€not€assume€that€parameters€are€fixed.€€It€does€not€assume€that€errors€in€predictionÏalways€have€the€same€variance€(i.e.,€the€homoskedasticity€assumption).€€By€aggregating€across€arealÏunits,€EI€computes€direct€estimates€for€the€quantities€of€interest;€it€does€not€assume€that€the€averageÏaggregate€behavioral€pattern€represents€the€average€individual„level€behavior€pattern€(Palmquist€2002).€ÏNor,€thanks€to€Kingððs€use€of€the€truncated€bivariate€normal€distribution€and€the€method€of€bounds,€does€EIÏassume€linearity€across€the€full€range€of€data.׃B×Ý ƒ#ÃÝòòÚ  Ú11Ú  ÚóóÝ  Ý×  ×Ð R#ø, Ðà  àFinally,€it€is€worth€noting€that€practitioners€using€EI€are€less€vulnerable€to€faulty€assumptions€inÏanother€way€ð!ð€which€is€that€the€software€includes€both€graphical€and€statistical€diagnostics€that€often€willÏindicate€when€assumptions€are€wrong.€€Indeed,€these€diagnostics€not€only€help€experts€check€some€ofÏâ âtheir€basic€ideas€about€the€data„generation€process,€the€graphical€and€statistical€tools€sometimes€have€anÐ –(<"4 Ðindependent€substantive€value;€presenting€them€can€help€clarify€the€results€of€an€analysis.׃v×Ý ƒ#ÃÝòòÚ  Ú12Ú  ÚóóÝ  Ý×  ×€€By€contrast,Ð Z Ðâ âaside€from€prior€knowledge,€about€the€only€defense€against€faulty€inference€in€ecological€regression€isÏobserved€nonlinearity€in€the€relationship€between€racial€density€and€outcome.€€Also,€linear€methods€ofÏecological€inference,€from€correlations€to€multiple€regressions,€all€lack€meaningful€standard€errors€thatÏresearchers€regularly€consult€and€that€indicate€the€uncertainty€contained€within€estimates.׃Oë×Ý ƒ#ÃÝòòÚ  Ú13Ú  ÚóóÝ  Ý×  ×Ð ž D Ðà  àA€disadvantageous€distribution€of€voters€will€inflate€any€bias€contained€in€the€aggregation€processÏmany€times€over€(Palmquist€and€Voss€1996).€€Take€one€terrible€case€for€ecological€inference:€when€anÏanalyst€wishes€to€probe€gender€differences€in€behavior.€€Gender€differences€are€especially€resistant€toÏaggregate„data€analysis,€unless€one€can€incorporate€outside€information€(see€Chapter€6€[Corder€andÏWolbrecht]).€€Men€and€women€usually€live€together€ð!ð€aside€from€places€containing€prisons,€military€basesÏor€other€institutions€that€might€skew€the€normal€gender€balance€ð!ð€so€their€populations€are€almost€evenlyÏdivided.€€Furthermore,€the€fluctuations€in€gender€that€do€occur€across€electoral€units€are€almost€completelyÏirrelevant€to€politics;€they€are€small,€mostly€random€noise.€€Yet€practitioners€may€not€notice€theÏuselessness€of€naive€ecological€inferences€based€on€data€such€as€gender€aggregates.€€EcologicalÏcorrelations€give€a€false€sense€of€security,€whereas€Kingððs€software€provides€no€such€cover;€standardÏerrors€advertise€when€an€analyst€tries€to€get€milk€from€a€stone.׃y×Ý ƒ#ÃÝòòÚ  Ú14Ú  ÚóóÝ  Ý×  ×Ð ¿ ÐÌÔ& ¤ Ôò òWhy€Kingððs€Method€Performed€Poorly€with€Horrible€Dataó óÐ »a" Ðà  àGaryÔ'¤ì&ä¦Ô€Kingððs€book€(1997)€already€tests€his€method€in€real€data.€€These€examples€illustrate€theÏmethodððs€effectiveness,€or€at€least€its€ability€to€warn€analysts€when€something€has€gone€wrong,€althoughÏthey€are€limited€in€quantity€(Freedman€et€al.€1998,€1520).€€By€contrast,€critics€have€subjected€KingððsÏapproach€to€other€diagnostic€tests€that€point€toward€severe€limitations€(Anselin€and€Cho€2002;€Cho€1998;ÏFreedman€et€al.€1998,€1999).€€It€may€seem€superfluous,€at€this€point,€to€continue€providing€examples€of€theÐ R#ø, Ðmethod€in€action€ð!ð€since€success€in€a€few€data€sets€ð ðdoes€not€prove€anythingðð€(Rivers€1998,€443)€and€hisÏmodel€ð ðworks€on€some€datasets€but€not€othersðð€(Freedman€et€al.€1998,€1520).Ìà  àNevertheless,€the€available€slate€of€trials€contain€certain€drawbacks€that€seem€to€call€for€aÏreconsideration.€€The€initial€trials€were€not€representative€of€how€Kingððs€method€would€work€in€mostÏsituations€ð!ð€let€alone€how€it€would€perform€in€particularly€useful€situations.€€Leaving€aside€simulated€data,ÏKingððs€method€has€been€tested€against:ÌÓL€ !%-/1HNñBh#XLÓÝ ‚3£ ÝÝ  ÝÝ‚3£ÿ«ÝÔ2ñBÔððÔ3  Ôà0  àÝ  ÝAggregate€data€produced€from€a€survey€conducted€during€the€1984€California€general€election,€inÐ @æ  Ðwhich€the€analyst€attempted€to€estimate€racial€differences€in€education€across€30€precincts€(ChoÏ1998,€153„60).݃3£ÿ«*¬ÝŒÐ (#(# ÐŒÝ  ÝØØÓL€ !%-/1HNñBhh!%-/1HNLÓÝ ‚3£ ÝÝ  ÝÝ‚3£ù­ÝÔ2ñBÔððÔ3  Ôà0  àÝ  ÝAggregate€data€produced€from€a€survey€conducted€during€a€San€Francisco€city€council€race,€inÐ 3Ù  Ðwhich€the€analyst€attempted€to€estimate€differences€between€Chinese€and€non„Chinese€voters€inÏtheir€support€for€candidate€Thomas€Hsieh€across€37€precincts€(Cho€1998,€160„61).݃3£ù­$®ÝŒÐ (#(# ÐŒÝ  ÝØØÓL€ !%-/1HNñBhh!%-/1HNLÓÝ ‚3£ ÝÝ  ÝÝ‚3£/°ÝÔ2ñBÔððÔ3  Ôà0  àÝ  ÝAggregate€data€produced€from€an€exit€poll€conducted€in€Stockton€during€the€1988€presidentialÐ &Ì Ðprimary,€in€which€the€analyst€attempted€to€estimate€Jesse€Jacksonððs€support€among€Hispanics€andÏnon„Hispanics€across€39€sample€precincts€(Freedman€et€al.€1998).݃3£/°Z°ÝŒÐ (#(# ÐŒÝ  ÝÝ ‚3£ ÝÝ  ÝÝ‚3£ï±ÝÔ2ñBÔððÔ3  Ôà0  àÝ  ÝCensus„tract€data€from€Los€Angeles€that€contained€1980€demographics,€in€which€the€analystÐ ¿ Ðattempted€to€estimate€education,€income,€and€home€ownership€for€Hispanics€and€non„HispanicsÏacross€1,409€tracts€(Freedman€et€al.€1998).݃3£ï±²ÝŒÐ (#(# ÐŒÝ  ÝÝ ‚3£ ÝÝ  ÝÝ‚3£³ÝÔ2ñBÔððÔ3  Ôà0  àÝ  ÝCensus„tract€data€from€Los€Angeles€that€contained€1988€election€statistics,€in€which€the€analystÐ  ²$ Ðattempted€to€estimate€party€registration€for€Hispanic€and€non„Hispanic€registered€votersÏ(Freedman€et€al.€1998).݃3£³»³ÝŒÐ (#(# ÐŒÝ  ÝÝ ‚3£ ÝÝ  ÝÝ‚3£!µÝÔ2ñBÔððÔ3  Ôà0  àÝ  ÝCounty€data€from€Texas€that€contained€incidents€of€strokes,€in€which€the€analysts€attempted€toÐ ÿ!¥* Ðestimate€stroke€rates€by€gender€(Anselin€and€Cho€2002,€287„88).݃3£!µLµÝŒÐ (#(# ÐŒÝ  ÝHow€do€these€trials€stack€up€against€the€conditions€under€which€an€analyst€should€expect€optimalÏperformance€from€an€aggregate„data€analysis€technique?€€The€data€are€notable,€as€a€group,€for€the€extentÏto€which€they€deviate€from€conditions€under€which€one€ought€to€try€ecological€inference€ð!ð€and€generallyÏthe€few€diagnostics€they€report€from€EI€indicate€as€much.Ìà  àConsider€the€following€comparison€of€these€data€against€the€enumeration€of€optimalÏcircumstances€listed€earlier.€€As€far€as€a€reader€can€judge,€these€trials€apply€Kingððs€method€to€data€withÏvery€few€homogeneous€units.€€Blacks€never€exceed€a€third€of€the€precinct€population€in€Choððs€firstÏexample€(see€the€giant€standard€errors€in€her€initial€analysis).€€The€Chinese€only€exceed€majority€status€inÐ Ø-~'< Ða€handful€of€her€precincts€in€the€second€example€(see€the€slope€of€lines€in€the€tomography€plot€as€well€asÏthe€large€standard€errors).€€The€stroke€analysis€uses€gender€as€its€demographic€category,€probably€theÏtoughest€case€in€ecological€inference€because€of€sharply€limited€compositional€variation.€€Most€ofÏFreedmanððs€examples€use€census€tracts,€long€known€for€how€seldom€they€approach€homogeneity€(MyersÏ1954).€€With€his€exit„poll€data,€the€standard€error€on€Hispanics€is€more€than€four€times€as€large€as€the€oneÏfor€non„Hispanics,€suggesting€that€the€data€provided€limited€information€about€the€minority€group.׃)×Ý ƒ#ÃÝòòÚ  Ú15Ú  ÚóóÝ  Ý×  ×Ð ï •  Ðà  àThree€of€the€examples€include€only€a€few€dozen€observations€each.€€In€some€of€these€cases,€it€isÏunlikely€that€a€researcher€would€have€had€to€stop€with€so€little€data.€€For€example,€even€if€one€wereÏinterested€only€in€Jesse€Jacksonððs€Hispanic€support€in€Stockton,€the€analysis€would€be€stronger€if€it€couldÏborrow€strength€from€related€cases€of€Hispanic€voting€behavior€nearby.€€Choððs€education€example€notÏonly€includes€few€cases,€it€obviously€requires€covariates,€which€will€tax€the€data€more€than€usual.Ìà  àMost€of€the€trials€attempt€to€predict€socioeconomic€data,€which€are€known€to€vary€widely€withinÏgroups.€€Black€education€rates€in€Choððs€first€example€jump€from€1%€to€90%€across€precincts!€€MoreÏimportantly,€socioeconomic€status€strongly€shapes€peopleððs€localized€residential€choices€(see,€e.g.,€BiggarÏand€Martin€1976),€so€minorities€who€reside€in€mixed„race€or€mixed„ethnicity€settings€are€likely€to€haveÏmuch€higher€status€than€those€in€segregated€ghettoes.€€The€stroke€data,€meanwhile,€were€selectedÏprecisely€because€they€exhibited€significant€spatial€autocorrelation.׃pØ×Ý ƒ#ÃÝòòÚ  Ú16Ú  ÚóóÝ  Ý×  ×€€These€examples€were€certain€to€beÐ j  Ðcharacterized€by€systematic€variation€within€groups€and€by€community„based€similarities€across€them.Ìà  àAll€of€the€political€trials€look€at€urban€areas€and€yet€make€no€reference€to€African€Americans€ð!ðÏwho€stand€apart€for€their€heavy€Democratic€party€support.€€Blacks€simply€fall€into€the€non„Hispanic€orÏnon„Chinese€categories,€along€with€white€Anglos.€€Anyone€knowledgeable€about€racial€politics€shouldÏrealize€that€combining€whites€and€blacks€into€one€group€violates€Kingððs€distributional€assumptions,€andÏprobably€introduces€severe€within„group€variance€while€suppressing€across„group€variance.Ð P#ö, Ðà  àNone€of€the€examples€uses€Kingððs€extended€model€to€capture€the€contextual€effect€of€groupÏdensity€directly.€€Only€one€uses€the€extended€model€at€all:€Cho€introduces€two€covariates,€income€and€age,Ïwhile€predicting€racial€education€rates.€€Income€helps,€age€hurts€ð!ð€which€leads€her€to€conclude€that€anÏanalyst€has€no€idea€when€a€covariate€might€improve€the€situation.€€Yet€EIððs€diagnostics€clearly€show€thatÏthe€income€covariate€was€the€right€thing€to€do.€€In€both€the€basic€EI€model€and€the€version€with€an€ageÏcovariate,€standard€errors€from€EI€were€so€large€that€they€swamped€the€estimates€themselves.€€After€ChoÏadds€the€income€covariate,€though,€the€model€suddenly€behaved:€it€revised€the€estimate€of€black€educationÏrates€upward€by€50%€and€returned€much€smaller€standard€errors.€€One€suspects€that€likelihood€scoresÏfrom€the€maximum„likelihood€estimates€also€indicated€the€desirability€of€an€income€covariate.Ìà  àPeople€who€study€subjects€empirically€should€not€reinvent€the€wheel.€€A€scholarly€literatureÏusually€provides€enough€descriptive€information€that€one€can€assess€in€advance€the€likely€success€of€anyÏparticular€inference,€as€I€have€done€retrospectively€with€the€extant€trials.€I€severely€doubt€that€scholarsÏfamiliar€both€with€ecological€inference€and€with€race/ethnicity€would€have€been€surprised€by€the€EIððs€poorÏperformance€in€these€hostile€tests.€€Furthermore,€a€knowledgeable€scholar€would€have€balked€at€most€ofÏthe€biggest€estimation€errors€even€without€the€truth€to€guide€choices:€91%€of€Hispanics€as€DemocraticÏregistrants,€which€will€happen€rarely€across€the€country;€standard€errors€so€huge€that€the€estimates€are€notÏsubstantively€interesting;€an€estimate€that€whites€with€a€college€degree€outnumbered€blacks€4„to„1€when€inÏfact€blacks€were€more€likely€to€have€graduated€from€college.€€Even€if€it€is€true€that€theory€and€previousÏresearch€provide€ð ðno€clear€way€of€distinguishing€good€models€from€bad€models,ðð€they€provide€a€lot€moreÏguidance€than€these€particular€trials€brought€to€bear.ÌÌÓ  Óò òApplying€EI€with€Informative€Data€or€Contextual€Knowledgeó óÐ ÿ!¥* ÐÓÜËÓà  àTo€illustrate€how€Kingððs€approach€outperforms€conventional€methods€of€ecological€inference€byÏincorporating€and€then€summarizing€contextual€information,€I€will€apply€his€parametric€model€to€the€studyÏof€racial€voting€behavior€in€the€U.S.€South.€€In€each€case€the€goal€is€to€fill€in€cross„tabulations€betweenÏaggregate€race€data€and€aggregate€political€outcomes,€thereby€producing€accurate€estimates€of€votingÏbehavior€by€race€ð!ð€exactly€the€sort€of€estimates€ecological€inference€commonly€would€be€called€upon€toÏproduce€in€real€voting€or€policy€research.€€Before€presenting€the€application,€though,€I€should€explain€whyÏracial€voting€behavior€is€a€critical€case€for€ecological€inference,€as€well€as€why€southern€data€areÏparticularly€helpful€for€assessing€a€methodððs€contribution.Ìà  àWhy€is€race€a€good€choice?€€First,€racial€categories€are€advantageous€because€they€are€highlyÐ Ú-€'< Ðsegregated€at€low€levels€of€aggregation€but€not€terribly€segregated€at€higher€ones.€€They€allow€a€test€ofÏKingððs€method€in€a€variety€of€situations.€€Second,€racial€behavior€tends€to€be€contextual,€and€inÏtheoretically€important€ways.€€The€nature€of€these€contextual€effects€links€specific€substantive€concernsÏof€political€scientists,€sociologists,€social€psychologists,€quantitative€historians,€constitutional„law€scholars,Ïand€anthropologists,€among€others€(e.g.,€Kousser€1974;€Pettigrew€1985;€Taylor€1998;€Voss€2001).€€Third,Ïvoting„rights€specialists€depend€upon€ecological€estimation.€€The€U.S.€Supreme€Court€declared€racial€blocÏvoting€to€be€one€component€of€a€justiciable€ð ðvote€dilutionðð€claim€in€òòThornbugh€v.€Ginglesóó€(478€U.S.€30„Ð @æ  Ð108),€and€litigants€simply€do€not€have€state€or€local€survey€data€available€to€establish€or€ward€offÏconstitutional€claims.€€€Analysts€require€some€workable€method€of€ecological€inference€to€recapture€dataÏlost€due€to€the€secret€ballot.Ìà  àOf€course,€one€could€argue€that€selecting€race€stacks€the€deck€in€Kingððs€favor.€€Racial€groups€areÏmore€polarized€in€their€partisan€behavior€than€just€about€any€other€demographic€category.€€Nevertheless,Ïracial€polarization€is€a€fourth€reason€why€race€is€a€critical€case€for€ecological€inference.€€The€survey„¼research€revolution€has€not€liberated€those€who€study€racial€politics€in€the€same€way€it€has€freed€up€workÏin€other€subfields.€€Politically€sensitive€topics€resist€objective€measurement€(Kuklinski,€Cobb€and€GilensÏ1997;€Traugott€and€Price€1992),€so€aggregate€data€naturally€play€a€significant€role€in€the€study€of€race.ÏAnyway,€party€choice€is€not€the€only€form€of€racial€voting€behavior;€registration€and€turnout€do€notÏpolarize€the€races€nearly€as€much.€€Race€is€a€good€choice€for€assessing€the€success€of€Kingððs€method.Ìà  àWhy€southern€data?€€€First,€the€South€makes€sense€because,€among€places€with€a€substantialÏblack€population,€that€region€has€less€residential€segregation€than€the€rest€of€the€country€(Massey€andÏDenton€1993).€€Estimation€will€be€harder€than€usual.€€Second,€my€own€research€tends€to€focus€onÏsouthern€politics€(e.g.,€Lublin€and€Voss€2000a,€2000b,€2003;€Voss€1996),€so€I€need€not€apply€KingððsÏmethod€blindly.€€Third,€not€only€did€southern€states€fuel€the€contextual€study€of€racial€voting€(Heard€1952;ÏKey€1949;€Matthews€and€Prothro€1966),€they€are€the€site€of€most€redistricting€litigation€and€thus€typify€theÏconditions€under€which€Kingððs€method€would€shape€public€policy.€€Finally,€and€most€importantly,€a€stringÏof€voting„rights€cases€have€convinced€the€Southððs€public€officials€that€they€need€to€invest€in€precise€dataÏcollection.€€Sometimes€the€data€reach€such€high€quality€that€they€include€answers€to€questions€that,€inÏother€locales,€would€require€some€form€of€statistical€inference€to€probe.ÌÌò òCounty„Level€Racial€Voting€Behavioró óÐ ‡,-&: Ðà  àGeorge€Wallaceððs€1968€presidential€campaign€may€have€dealt€the€death€blow€to€aggregate„dataÐ Ú-€'< Ðstudies€of€voting€behavior.€€White€support€for€Wallace€was€so€contextual,€with€support€high€in€exactly€theÏplaces€where€blacks€were€most€numerous,€that€it€completely€skewed€the€techniques€of€ecologicalÏinference€available€at€the€time.€€Furthermore,€the€Wallace€vote€was€only€available€to€researchers€atÏrelatively€high€levels€of€aggregation,€so€aggregate€data€were€(and€are)€quite€poor.Ìà  àAn€analysis€by€Schoenberger€and€Segal€(1971,€585),€for€example,€implied€that€Wallace€receivedÏheavy€black€support€in€his€1968€presidential€bid.€€The€authors€did€not€embrace€this€absurd€conclusion,Ïcorrectly€attributing€the€findings€to€Wallaceððs€heavy€white€support€in€the€Black€Belt,€but€lacked€anyÏstatistical€basis€for€their€interpretation€or€any€real€estimates€of€white€behavior.€€Not€even€additionalÏmethodological€refinements,€intended€to€counteract€the€ð ðecological€fallacy,ðð€could€remove€their€relianceÏon€prior€knowledge,€or€provide€reliable€estimates€of€how€each€race€actually€voted€(Wasserman€and€SegalÏ1973,€179).€€The€complete€inadequacy€of€aggregate„data€analysis€for€contributing€to€this€important€topic€ofÏinterest€helped€illustrate€why€the€discipline€needed€to€move€toward€surveys€in€the€short€term.€€TheÏWallace€vote€has€even€stumped€researchers€using€more€modern€methods,€including€Kingððs€solutionÏ(Palmquist€2002).€€It€is€therefore€about€as€tough€a€real„life€test€as€Kingððs€method€could€face.Ìà  àLouisiana€reports€parish„level€(i.e.,€county„level)€voter€registration€broken€down€by€race.€€If€weÏconsider€the€vote€as€a€three„stage€processð!ðthe€decision€to€register,€the€decision€to€vote,€the€voteÏchoiceð!ðthe€first€stage€of€that€process€does€not€require€estimation€in€this€rare€instance.€€Louisiana€data€areÏparticularly€useful€for€two€other€reasons.€€First,€the€stateððs€registration€data€contained€lots€of€idiosyncraticÏvariation€in€1968,€all€of€which€violates€EIððs€assumptions.€€Some€parishes€purged€their€voter€rolls€of€deadÏweight€more€frequently€than€others.׃#×Ý ƒ#ÃÝòòÚ  Ú17Ú  ÚóóÝ  Ý×  ×€€Some€hosted€federal€election€examiners€eager€to€expand€the€votingÐ ]& Ðrolls.׃>´×Ý ƒ#ÃÝòòÚ  Ú18Ú  ÚóóÝ  Ý×  ×€€Second,€all€evidence€indicates€that€very€few€blacks€voted€for€Wallace.€€This€strong€prior€on€whatÐ ® T( Ðthe€black€estimate€ought€to€be€means€that€I€can€check€Kingððs€method€at€multiple€levels€of€racial€behavior.€ÏIt€is€precisely€the€combination€of€difficult€data€with€known€answers€that€makes€the€Louisiana€caseÏworthwhile€as€a€test€of€Kingððs€method.Ìà  àFor€my€initial€run,€I€did€not€take€advantage€of€EIððs€more€advanced€features,€such€as€Ô_ÔmodelingÐ ò%˜0 Ðparameters€of€the€truncated€bivariate€normal€to€vary€with€other€relevant€quantities.€€I€want€to€compare€theÏestimates€from€this€simple€Ô_ÔEIÔ_Ô€analysis€both€to€the€real€numbers€and€to€estimates€produced€by€otherÏmethods€of€aggregate„data€analysis.€€The€first€row€of€Table€1€therefore€reports€the€real€racial€registrationÏrates:€53.6%€of€blacks€and€77.3%€of€whites.€€I€then€report€what€an€analyst€lacking€the€truth€would€knowÏto€be€true:€the€bounds€for€the€state€computed€from€state„level€Ô_ÔmarginalsÔ_Ô,€and€the€bounds€for€the€stateÏcomputed€from€parish„level€Ô_ÔmarginalsÔ_Ô.€€The€state€bounds€alone€do€not€constrain€black€registrationÏestimates€at€all,€and€only€pinch€possible€white€registration€rates€to€a€span€of€roughly€35€percentage€points.€ÏThe€bounds€based€upon€parish„level€limitations€squeeze€the€range€of€valid€estimates€for€whites€even€more,Ïand€rule€out€the€more€extreme€levels€of€black€registration€as€well.€€The€truth€in€this€case€clearly€falls€nearÏto€the€midpoints€between€the€bounds:€75.9%€for€whites€and€57.5%€for€blacks.ÌÓ  Ó(Table€1€about€here)ÌÓ6ëÓà  àNaive€linear€ecological€regression€produces€quite€impossible€estimates:€86%€registration€forÏwhites€(more€than€two€large€standard€deviations€from€the€truth),€and€57%€registration€for€blacks.€€For€theÏentire€state,€this€implies€a€faulty€78.5%€statewide€registration€rate.€€Faced€by€obviously€incorrectÏimplications,€an€analyst€would€know€that€ecological€regression€had€failed.€€One€solution€would€be€to€use€aÏweighted€analysis€(Ô_ÔPalmquistÔ_Ô€and€Voss€1997,€13).€€Therefore€I€repeated€the€ecological€regression€usingÏweighted€least€squares.€€The€white€registration€estimate€then€comes€quite€closeð!ðwithin€a€percentage€pointÏof€the€truthð!ðbut€the€black€registration€rate€rises€to€more€than€six€percentage€points€away.€€The€overallÏestimates€are€still€impossible,€since€they€represent€a€73.2%€statewide€registration€rate.Ìà  àEcological€regression€does€not€produce€parish„level€estimates€ð!ð€77.9%€of€whites€and€60%€ofÏblacks€presumably€registered€in€each€parish€ð!ð€but€we€can€evaluate€these€figures€as€surrogate€parishÏestimates€by€comparing€them€to€the€parish€bounds€that€an€analyst€would€know€even€without€LouisianaððsÏracial€data.€€Together€the€estimates€are€impossible€in€all€but,€at€best,€two€or€three€parishes€(as€indicated€byÏhow€few€of€the€tomography€lines€would€cross€that€point).€€Even€looking€one€race€at€a€time,€the€whiteÏregistration€rate€is€impossible€for€33€parishes,€too€low€for€27€and€too€high€for€6.€€The€black€registrationÏrate€is€impossible€for€14€parishes.€€That€the€bounds€are€so€active€signifies€more€than€just€the€failure€ofÏlinear€regression;€it€also€suggests€that€contextual€effects€may€be€biasing€the€estimates.Ìà  àAnother€common€method€of€analysis€is€to€look€at€all„black€units€to€determine€black€behavior€andÏâ âall„white€units€to€determine€white€behavior.€€Unfortunately,€only€four€of€the€59€parishes€used€in€my€Ô_ÔEIÔ_ÔÐ 6+Ü$8 ÐÔ_Ôestimation€contain€more€than€a€90%€white€voting„age€population,€and€none€are€more€than€90%€black.׃Y×Ý ƒ#ÃÝòòÚ  Ú19Ú  ÚóóÝ  Ý×  ׀РZ Ðâ âThe€limits€of€this€homogeneous€unit€approach€are€therefore€obvious.€€The€registration€rate€in€the€fourÏwhite€parishes,€computed€as€a€weighted€average,€comes€to€85.4%€percentð!ðfar€higher€than€what€could€beÏtrue€statewide.€€All„white€parishes€were€not€representative.€€The€neighborhood€model,€which€assumesÏthat€all€races€behave€the€same€way€in€particular€electoral€units€but€differ€across€them,€is€similarlyÏunimpressive.€€It€estimates€almost€equal€registration€rates€for€blacks€and€whites€when€the€true€results€areÏmuch€more€polarized.Ìà  àEven€a€simple€EI€estimation€clearly€outperforms€every€method€except€weighted€ecologicalÏregression.€€It€estimates€that€76.7%€of€whites€registered,€within€a€percentage€point€of€the€truth,€and€thatÏ55.2%€of€blacks€registered,€within€2€percentage€points€of€the€truth.€€Given€the€wide€variation€from€oneÏparish€to€the€next,€these€estimates€are€fantastic.€€The€one€drawback€is€that€standard€errors€are€very€large.€ÏThis€is€a€reassuring€drawback,€though,€since€it€means€EIððs€standard€errors€reflect€the€high€degree€ofÏuncertainty€much€better€than€those€from€naive€ecological€regression.Ìà  àThis€simple€EI€run€also€predicts€the€true€white€registration€rates€in€each€parish€amazingly€well.€ÏFigure€3€presents€a€scatterplot€of€the€EI€estimates€against€the€true€white€registration€rates€(a€circleððsÏradius€indicates€size€of€the€parishððs€white€population).€€The€solid€slanted€line,€flanked€by€an€80%Ïconfidence€interval,€represents€where€cases€would€fall€when€estimates€were€exactly€correct.€€Circles€toÏthe€left€of€the€line€mean€estimates€were€too€low,€those€to€the€right€that€estimates€were€too€high.€€As€theÏgraph€shows,€the€bulk€of€parishes€fall€right€on€or€around€the€solid€line,€indicating€a€wonderful€fit€with€theÏreal€answers.€€The€exception€is€a€handful€of€very€small€parishes€with€white€voting€estimates€that€are€tooÏlow.€€In€these€rural€parishes,€black€registration€was€below€25%,€a€known€legacy€of€Jim€Crow€that€noÏsimple€EI€analysis€captures€because€it€violates€the€modelððs€assumptions.ÌÓ  Ó(Figure€3€about€here)ÌÓüÓà  àEI€partially€adapts€to€the€presence€of€aggregation€bias,€even€when€the€researcher€makes€no€overtÏattempt€to€model€that€bias,€because€requiring€estimates€to€be€possible€will€force€them€to€follow€contextualÏbehavior€in€informative€data.€€These€data€are€far€from€informative.€€Nevertheless,€consistent€withÏprevious€research€(Matthews€and€Prothro€1966),€the€black€registration€estimates€on€average€decrease€2.4Ïpercentage€points€with€a€10€percentage„point€shift€in€black€density.€€The€basic€version€of€EI€thereforeÐ å)‹#6 Ðpicked€up€some,€but€not€all,€of€the€true€contextual€pattern€of€aggregation€bias.€€As€the€black€densityÏincreased€10€percentage€points,€the€real€black€registration€rates€decreased€4.1€percentage€points,€and€theÏwhite€rate€climbed€1.4€points.Ìà  àI€tried€several€refinements€to€the€estimation€ð!ð€drawn€from€my€knowledge€of€the€southern€politicsÏliterature,€not€from€my€knowledge€of€the€true€numbers.€€Two€corrections€to€the€basic€model€did€appearÏusefulð!ð€judging,€for€example,€from€how€much€they€improved€the€log„likelihood€score.€€I€allowedÏparameters€to€react€to€the€black€density€of€the€population,€in€keeping€with€previous€literature.€€I€alsoÏincluded€a€dummy€variable€for€two€areas€historically€known€for€their€racial€sensitivity:€the€MississippiÏDelta€parishes€in€the€stateððs€northeast€corner,€and€segregationist€Judge€Leander€Perezðð€PlaqueminesÏParish.€€These€refinements€improved€estimates,€although€the€uncertainty€remained€high.€€Estimates€forÏboth€races€were€within€half€a€percentage€point€of€the€truth,€and€better€reflected€the€aggregation€bias€in€theÏtrue€data.€€The€black€registration€estimates€decrease€3€percentage€points,€on€average,€with€a€10Ïpercentage„point€increase€in€black€density,€and€the€white€estimates€inch€upward€(whereas€in€the€simpleÏanalysis€they€remained€static).Ìà  àIn€sum,€my€EI€estimation€of€Louisianaððs€1968€parish€registration€rates€is€imperfect.€€StandardÏerrors€are€quite€conservative,€given€the€amazing€precision€of€the€estimates,€and€a€few€intransigentÏparishes€that€violate€the€model€assumptions€do€stump€the€program.€€Yet€the€main€lesson€of€this€explorationÏis€that€EI€is€resilient€even€in€the€most€troublesome€cases€one€is€likely€to€face€in€real€racial€voting€data€ð!ðÏespecially€when€one€is€armed€with€substantive€knowledge.€€Nor,€when€faced€by€a€tough€case,€does€EIÏnecessarily€underestimate€the€uncertainty€contained€in€its€best€estimates.Ìà  àNormally€the€next€stage€would€be€to€estimate€turnout,€using€the€racial€registration€estimates€as€aÏbase€(King€1997,€chap.€15).€€However,€since€I€possess€the€right€answers€for€the€initial€estimation€stage,€IÏwill€use€those€instead.€€Estimating€turnout,€therefore,€follows€an€identical€procedure€to€that€used€estimatingÏregistration€in€the€previous€test€case.€€I€know€how€many€registered€whites€and€blacks€appear€in€eachÏparish,€and€how€many€people€voted,€but€I€donððt€know€how€many€of€each€voted.€€For€this€analysis,€IÏallowed€white€turnout€to€increase€as€black€density€increased,€since€Wallaceððs€anti„segregation€messageÏplayed€very€well€among€Black€Belt€whites.€€I€estimate€that€79.5%€of€registered€whites€voted€in€theÏpresidential€election,€whereas€59.2%€of€registered€blacks€did€so.€€The€findings€resemble€the€50„60%Ïturnout€rates€estimated€for€Louisianaððs€registered€blacks€in€1966€(Campbell€and€Feagin€1975,€136).Ìà  àOf€course,€at€this€point€most€researchers€might€be€willing€to€assume,€say,€a€1.5%€rate€of€supportÏfor€Wallace€among€black€voters;€turnout€was€the€real€source€of€uncertainty.€€But€Iððll€carry€it€through€forÐ Ø-~'< Ðpurposes€of€testing€Kingððs€method,€since€it€is€exactly€this€stage€of€analysis€that€foiled€old€inferenceÏtechniques€soon€after€Wallaceððs€campaign;€they€all€returned€estimates€of€black€support€for€Wallace€muchÏtoo€high€to€be€realistic.€€The€procedure€is€almost€identical€to€the€previous€stage.€€We€know€the€distributionÏof€votes,€and€we€possess€estimates€of€turnout€for€each€race€(from€the€last€stage),€but€we€donððt€know€theÏvoting€preferences.׃(×Ý ƒ#ÃÝòòÚ  Ú20Ú  ÚóóÝ  Ý×  ×Ð ž D ÐÑ€3NÑÑ€4NÑÑ€5eÑÑ€6_RÑà  àA€simple€EI€analysis,€with€no€embellishments,€produces€rather€disheartening€results:Ïapproximately€one€quarter€of€African„American€voters€allegedly€supported€George€Wallace€(analysis€notÏshown).€€Even€this€analysis€is€better€than€other€ecological€studies€of€the€Wallace€vote,€which€often€impliedÏgreater€support€from€blacks€than€for€whites.€€Furthermore,€this€is€a€case€in€which€prior€knowledge€canÏinform€estimation€without€assuming€the€answers€outright.€€EI€can€estimate€aggregation€bias€informed€byÏthe€contextual€hypothesis€that€whites€in€parishes€threatened€by€desegregation€would€be€more€supportive€ofÏWallace.׃*"×Ý ƒ#ÃÝòòÚ  Ú21Ú  ÚóóÝ  Ý×  ×€€This€simple€refinement€removes€the€absurd€numbers,€as€no€previous€statistical€analysis€of€theÐ Õ{ Ðaggregate€Wallace€vote€has€ever€been€able€to€do.€€Now€1.8%€of€blacks€apparently€backed€Wallace,Ïeither€by€intent€or€not€(which€is€surprisingly€realistic€given€the€large€standard€error€of€6.2).€€And€we€haveÏby€far€the€best€available€estimate€of€Wallaceððs€white€support€from€each€Louisiana€parish,€which€comes€toÏ57.1%€at€the€state€level.׃+³×Ý ƒ#ÃÝòòÚ  Ú22Ú  ÚóóÝ  Ý×  ×Ð ¿ ÐÌò òPrecinct„Level€Racial€Voting€Behavioró óÐ »a" ÐÔ& Q Ôà  àÔ'Q%ÔPrecinct„level€race€and€election€data€are€widely€available,€especially€from€Southern€states€thatÏcollect€such€information€to€document€their€compliance€with€the€Voting€Rights€Act.€€For€most€states,€theÏracial€data€come€from€aggregating€Census€voting„age€population€figures€to€the€level€of€electoral€units,€asÏLublin€and€Voss€(2003)€did€in€the€Federal€Election€Project€for€2000.€€Other€states,€such€as€North€CarolinaÏor€Alabama,€actually€collect€racial€registration€data,€asking€registrants€to€declare€their€racial€category€andÏaggregating€those€figures.€€Two€states,€Louisiana€and€South€Carolina,€even€keep€track€of€turnout€by€race.Ìà  àThe€availability€of€precinct„level€data€is€the€key€to€why€Kingððs€method€will€work€so€consistentlyÐ ô%š0 Ðwith€modern€racial€voting€studies.€€Residential€segregation€is€still€the€norm€in€American€society.€€A€third€ofÏAfrican€Americans€live€around€few€whites€(Massey€and€Denton€1993,€75„77),€and€many€whites€live€inÏneighborhoods€with€only€token€black€presence.€€The€aggregation€process€discards€relatively€littleÏinformation€about€these€segregated€voters,€as€far€as€producing€racial€estimates€is€concerned,€limiting€theÏscope€of€ecological€inference€necessary€to€produce€accurate€estimates.€€This€sort€of€segregation€is€lessÏsevere€in€the€South,€where€interracial€contact€has€always€been€more€common€than€in€hyper„segregatedÏnorthern€cities,€yet€still€appears€when€data€are€measured€at€low€levels.Ìà  àTake€Louisianaððs€racial€registration€figures€for€1992.€€Out€of€3,998€usable€precincts,€11.6%€areÏentirely€uniform:€440€without€a€single€African€American€registered€to€vote,€25€with€nothing€but€AfricanÏAmericans.€€So€we€know€the€exact€racial€characteristics€of€150,000€voters;€no€estimation€is€necessaryÏand€no€uncertainty€present.׃×Ý ƒ#ÃÝòòÚ  Ú23Ú  ÚóóÝ  Ý×  ×€€A€third€of€the€stateððs€precincts€contained€almost€no€blacks€(i.e.,€fewer€thanÐ „*  Ð5%€of€registered€voters),€such€that€more€than€half€of€the€white€population€resides€in€ð ðhomogeneousÏprecincts.ðð€€Another€260€precincts€were€almost€exclusively€black,€containing€more€than€a€quarter€of€theÏAfrican„American€population.€€Using€a€lower€standard,€in€which€only€90%€of€the€population€must€beÏuniform,€means€that€58%€of€Louisiana€voters€appeared€in€segregated€locales€where€we€have€little€doubtÏabout€what€one€racial€category€is€doing.Ìà  àThe€result€of€all€this€segregation€is€that,€in€many€precincts,€we€know€roughly€how€the€dominantÏrace€behavedð!ða€certainty€that€greatly€informs€statewide€estimates€as€well.€€Leaving€aside€the€uniformÏprecincts,€where€we€have€no€doubt€at€all,€the€range€of€possible€white€turnout€is€less€than€10€percentageÏpoints€in€1,829€precincts.€€The€range€of€possible€black€turnout€is€equally€narrow€in€343€more.€€Thanks€toÏthe€bounds€imposed€by€racial€registration€rates€in€these€informative€precincts,€white€turnout€for€the€stateÏòòmustóó€have€been€between€75%€and€88.9%,€and€black€turnout€between€51.5%€and€87.9%.€€But€results€nearÐ ÿ!¥* Ðthese€extremes€would€entail€rather€implausible€behavior,€the€sort€of€thing€a€researcher€with€substantiveÏexpertise€would€know€about,€so€it€would€be€a€safe€bet€estimates€were€somewhere€within€an€evenÏnarrower€range€(Flanigan€and€Zingale€1985).׃Y×Ý ƒ#ÃÝòòÚ  Ú24Ú  ÚóóÝ  Ý×  ×€€The€bounds€work€similarly€for€voting€choices.€€Thanks€toÐ ò%˜0 Ðbounds€imposed€by€racial€turnout€rates€in€each€precinct,€the€white€vote€for€Clinton€must€have€beenÏbetween€29.5%€and€44%,€the€black€vote€between€54.3%€and€97.7%,€with€the€plausible€results€fallingÐ ”(:"4 Ðwithin€even€narrower€ranges.€€The€neighborhood€model€cannot€be€correct.Ìà  àSegregation€is€one€condition€common€to€racial€data€that€assists€Kingððs€method.€€Another€conditionÏthat€adds€to€the€certainty€is€extreme€behavior.׃|×Ý ƒ#ÃÝòòÚ  Ú25Ú  ÚóóÝ  Ý×  ×€€When€the€phenomenon€being€studied€approachesÐ ü¢ Ðconsensual€levels,€such€as€0%€or€100%€of€residents€engaging€in€a€particular€activity,€then€we€know€withÏfair€certainty€how€people€of€all€races€behaved€there.€€Racial€voting€behavior€frequently€runs€up€againstÏthis€sort€of€boundary,€since€variance€in€voter€choice€can€be€quite€high,€with€9€in€10€black€voters€backingÏthe€Democratic€party€and€rural€whites€heavily€endorsing€Republicans.€€In€the€Louisiana€case,€we€see€suchÏextreme€behavior€with€turnout€as€well,€because€most€registered€voters€go€to€the€polls.Ìà  àThe€implications€should€be€clear.€€Embedding€the€ecological€inferences€within€known€bounds€onÏvoting€behavior€does€much€of€the€work€required€to€produce€decent€racial€voting€estimates.€€Kingððs€methodÏtherefore€milks€both€the€quality€of€contemporary€data€and€the€segregated€nature€of€American€society€forÏthe€information€they€make€available.€€His€approach€to€ecological€inference€does€add€to€the€precision,Ïespecially€when€coupled€with€whatever€substantive€knowledge€the€researcher€brings€to€bear,€and€theÏmethodððs€assumptions€do€not€drive€the€results€as€much€as€Kingððs€critics€suggest.Ìà  àNevertheless,€it€is€worth€observing€how€well€Kingððs€method€performs€with€such€highlyÏinformative€data.€€In€particular,€I€will€show€how€successful€EI€is€at€predicting€racial€turnout€in€Louisiana,Ïthe€sort€of€thing€a€researcher€normally€must€estimate€(e.g.,€it€is€the€first€stage€of€ð ðdouble€regressionðð).€ÏNaturally€Louisiana€is€a€unique€place,€so€one€may€be€hesitant€to€extrapolate€from€there€to€other€states.€ÏHowever,€for€purposes€of€gauging€the€success€of€Kingððs€method,€thereððs€no€reason€to€think€it€poses€aÏparticularly€easy€trial.€€Segregation€is€not€exceptionally€high€in€Louisianaððs€cities,€and€turnout€rates€are€notÏextraordinary.€€It€also€may€seem€unreliable€to€assume€that,€if€EI€works€well€predicting€turnout,€it€willÏperform€equally€well€predicting€vote€choices€for€which€the€truth€cannot€be€known.€€Here€too,€however,Ïmy€trial€is€more€representative€than€one€might€assume.€€The€main€reason€EI€thrives€is€racial€segregation,Ïand€that€operates€equivalently€on€both€turnout€and€vote€data.׃<ë×Ý ƒ#ÃÝòòÚ  Ú26Ú  ÚóóÝ  Ý×  ×€€Furthermore,€voting€behavior€is€moreÐ ¡$G. Ðextreme€than€turnout€in€the€contemporary€period,€so€EI€should€get€more€purchase€with€votes.Ìà  àI€will€use€turnout€from€the€1991€Louisiana€gubernatorial€open€primary,€although€results€are€quiteÏsimilar€with€other€elections€from€the€period.׃×Ý ƒ#ÃÝòòÚ  Ú27Ú  ÚóóÝ  Ý×  ×€€The€actual€statewide€turnout€rates€were€65.2%€for€blacksÐ ü¢ Ðand€74.7%€for€everyone€else,€underscoring€the€faultiness€of€using€a€one„stage€analysis€(i.e.,€populationÏstraight€to€vote€choice€without€estimating€turnout€as€an€intermediate€step).€€The€state„level€bounds€are€notÏparticularly€informative;€we€have€no€idea€what€the€black€turnout€rate€would€be,€and€the€white€rate€couldÏbe€anything€greater€than€61.6%€(all€figures€appear€in€Table€2).€€If€the€absolute€bounds€are€imposedÏindividually€on€each€precinct€and€added€up€to€statewide€totals,€however,€white€turnout€must€be€betweenÏ67.6%€and€82.4%,€while€black€turnout€must€fall€between€44.7%€and€83.9%.€€The€midpoints€of€theseÏbounds€would€indicate€white€turnout€of€roughly€75%,€and€black€turnout€of€64.3%.€€The€former€is€off€theÏtruth€by€only€0.3%,€while€the€latter€misses€the€mark€by€just€under€a€percentage€point,€so€once€again€theÏbounds€are€pointing€us€in€the€right€direction.€€Thereððs€no€guarantee€for€success€shooting€from€the€hip€thisÏway,€but€it€does€reinforce€Flanigan€and€Zingaleððs€point€(1985,€82„83)€that€the€plausible€bounds€are€usuallyÏnarrower€than€the€absolute€bounds.׃E"×Ý ƒ#ÃÝòòÚ  Ú28Ú  ÚóóÝ  Ý×  ×Ð w ÐÓ  Ó(Table€2€about€here)ÌÓt1Óà  àThe€attractive€precinct„level€data€permit€most€methods€to€approximate€the€truth.€€TheÏneighborhood€model,€for€example,€estimates€that€white€turnout€was€73.8%,€black€turnout€67.4%.€€NaiveÏecological€regression€places€those€figures€at€75.9%€and€63.7%€respectively.€€The€white€turnout€estimateÏis€1.2€percentage€points€(or€almost€19,000€voters)€from€the€truth,€one€of€the€worst€provided€by€any€methodÏdespite€the€highly€informative€data€on€whites.€€The€estimates€also€imply€a€statewide€turnout€rate€that€wasÏimpossibly€high.€€The€worst€of€the€simple€methods€is€homogeneous€precinct€analysis.€€I€tried€it€two€waysÏthis€time:€once€a€simple€precinct€average,€the€other€weighting€that€average€by€the€number€of€registeredÏvoters€in€each€precinct.€€Both€are€faulty,€because€white€turnout€is€notably€high€in€all„white€precincts,€andÏblack€turnout€notable€low€in€all„black€precincts.Ìà  àWeighted€ecological€regression€does€a€nice€job.€€It€estimates€that€75.3%€of€whites€turned€out,€offÏby€less€than€a€percentage€point.€€The€black€estimate€is€more€disappointing,€since€it€falls€almost€2Ð C'é 2 ÐÑ#3N4N5e6_R#Ñâ 3âÑ°Ñâ 43âÑÑâ 54âÑÏÑâ 65âÑ9ÏÑâ 6âÑ  Ñpercentage€points€from€the€truth,€but€given€the€less€informative€data€for€blacks€such€an€estimate€stillÏseems€fairly€strong.€€Furthermore,€this€time€the€joint€estimates€do€not€imply€impossible€statewide€turnoutÏrates.€€A€simple€EI€run€produces€roughly€the€same€estimates€as€weighted€ecological€regression:€75.4%€ofÏwhites€and€63.3%€of€blacks.€€The€basic€results€do€not€indicate€any€aggregation€bias:€estimates€of€whiteÏand€black€turnout€do€not€correlate€with€racial€density.€€This€is€a€case€in€which€the€EI€diagnostics€byÏthemselves€would€leave€a€researcher€satisfied.Ìà  àHowever,€I€have€a€theoretical€reason€to€expect€that€white€turnout€should€decline€in€heavily€blackÏareas.€€Whites€in€integrated€settings€tend€to€have€lower€socioeconomic€status€than€their€segregatedÏcounterparts,€and€socioeconomic€resources€are€an€important€determinant€of€political€activity€(Verba,ÏSchlozman,€and€Brady€1995,€513,€527).€€I€therefore€ended€with€a€more€complex€EI€analysis,€allowingÏwhite€turnout€to€vary€as€black€density€changed,€without€specifying€the€likely€direction€of€the€relationship.׃ ×Ý ƒ#ÃÝòòÚ  Ú29Ú  ÚóóÝ  Ý×  ׀Р„*  ÐOnce€again,€EI€did€not€detect€all€of€the€aggregation€bias.€€As€black€population€density€increases€10Ïpercentage€points,€white€turnout€declines€1.5€percentage€points,€on€average.€€The€estimated€contextualÏeffect€is€only€a€third€as€large,€and€therefore€too€low.€€Nevertheless,€what€bias€EI€did€detect€helpedÏimprove€the€estimates€relative€to€the€alternatives.€€The€resulting€estimates€were€74.9%€turnout€for€whites,Ï64.5%€for€blacks.€€In€both€cases,€these€estimates€are€closer€to€the€truth€than€those€from€any€other€methodÏused.€€The€white€estimate€was€only€off€by€a€fifth€of€a€percentage€point,€and€the€black€estimate€by€lessÏthan€a€percentage€point€as€well.׃JY×Ý ƒ#ÃÝòòÚ  Ú30Ú  ÚóóÝ  Ý×  ×Ð »a" Ðà  àThe€hypothesis€that€white€mobilization€rates€change€with€racial€density€emerges€from€a€real„lifeÏresearch€agenda.€€One€theory€suggests€that€whites€mobilize€when€faced€with€a€large€black€population€inÏtheir€locale€(see€Voss€2000€for€a€literature€review).€€By€contrast,€some€scholars€have€noted€a€decline€inÏwhite€Anglo€turnout€in€minority„dominated€electoral€districts€(Gay€2001;€Barreto,€Segura,€and€WoodsÏ2002).€€They€interpret€this€decline€as€some€sort€of€white€demoralization€caused€by€their€minority€status€inÏelections.€€This€is€a€clear€case€of€competing€contextual€theories.€€The€evidence€from€Louisiana€suggestsÏthat€ecological€inferences,€such€as€those€reported€by€Gay€(2001),€should€cooperate€with€testing€relativelyÏstrong€contextual€hypotheses.€€EI€picked€up€enough€of€the€true€pattern€that€a€test€for€ecological€Ô_ÔeffectsÐ C'é 2 Ðwould€have€been€strong€and€statistically€significant€in€the€correct€direction.€€On€the€other€hand,€the€resultsÏfrom€Louisiana€ð!ð€along€with€my€analysis€of€Georgia€and€Florida€(Voss€and€Lublin€2001)€ð!ð€reveal€thatÏthose€studying€the€effect€of€minority„dominated€electoral€districts€need€to€rethink€their€interpretations.€ÏWhite€turnout€declines€in€heavily€minority€precincts€regardless€of€whether€the€larger€electoral€environmentÏis€dominated€by€whites€or€blacks.€€Ô_ÔEIÔ_Ôððs€sensitivity€to€contextual€effects€therefore€has€contributed€to€anÏimportant€substantive€debate,€debunking€the€white€backlash€idea€yet€calling€into€question€the€conventionalÏwisdom€on€why€white€turnout€declines€in€majority„minority€districts.Ìà  àThe€preceding€analysis€shows€that€precinct„level€data€are€extremely€useful€for€determiningÏstatewide€behavior.€€Even€fairly€simple€estimation€methods€come€within€a€percentage€point€of€true€whiteÏbehavior,€and€within€two€percentage€points€of€true€black€behavior.€€The€Louisiana€data€allow€another€testÏof€Ô_ÔEIÔ_Ôððs€performance,€however,€which€is€to€check€the€quality€of€precinct„level€estimates€it€produces.€€Ô_ÔEIÔ_ÔÏmight€use€the€precinct€data€to€generate€excellent€statewide€estimates,€but€still€be€way€off€for€individualÏareal€units.׃8×Ý ƒ#ÃÝòòÚ  Ú31Ú  ÚóóÝ  Ý×  ×€€As€it€turns€out,€however,€Ô_ÔEIÔ_Ôððs€estimates€are€amazingly€accurate€even€at€the€precinct€level.€Ð &Ì ÐThe€estimates€correlate€heavily€with€the€true€white€turnout€rates:€a€coefficient€of€.93€when€weighted€byÏthe€number€of€registered€whites,€and€.98€when€weighted€by€the€inverse€of€Ô_ÔEIÔ_Ôððs€reported€precinct€standardÏerror€(see€Burden€and€Kimball€1998,€539).€€The€figures€for€blacks€are€naturally€slightly€lower,€given€theÏmore€limited€information€on€black€behavior,€but€still€impressive:€.87€when€weighted€by€the€number€ofÏregistered€blacks,€and€.94€when€weighted€by€Ô_ÔEIÔ_Ôððs€reported€level€of€confidence.€€It€is€worth€noting€that€theÏcost€of€any€survey€with€this€level€of€local€precision€across€an€entire€state€would€be€astronomical,€even€ifÏrespondents€could€be€trusted€to€report€their€turnout€properly.Ìà  àThe€Ô_ÔEIÔ_Ô€estimation€I€ran€took€no€notice€of€which€precincts€fell€in€which€parishes.€€Although€Ô_ÔEIÔ_ÔÏcertainly€would€allow€the€researcher€to€adjust€estimates€based€upon€county€traits,€none€of€my€estimationsÏtook€advantage€of€this€option.€Indeed,€the€estimation€routine€did€not€in€any€way€attempt€to€optimize€fit€withÏparish€behavior.€€It€is€worth€investigating,€therefore,€how€well€the€Ô_ÔEIÔ_Ô€precinct€estimates€aggregate€up€toÏparish€values.€€I€created€parish„level€white€(black)€turnout€estimates€by€averaging€the€figures€for€allÏprecincts€in€a€parish,€weighted€by€the€number€of€whites€(blacks)€contained€in€each.׃"×Ý ƒ#ÃÝòòÚ  Ú32Ú  ÚóóÝ  Ý×  ×€€The€parish„levelÐ C'é 2 Ðestimates€end€up€almost€as€accurate€as€the€statewide€estimate,€correlating€with€the€truth€at€.99€for€whites,Ï.97€for€blacks.€€The€largest€error€for€any€parishððs€white€turnout€estimate€is€2.3€percentage€points,€theÐ å)‹#6 ÐÔ_Ôlargest€error€among€blacks€3.6€percentage€points.€€The€average€parish€error€is,€of€course,€muchÏsmallerð!ðunder€a€half€of€a€percentage€point€for€both€races€(see€Figure€4).€€Again,€this€level€of€success€isÏastounding€when€considered€in€light€of€what€surveys€of€similar€precision€would€require.ÌÓ  Ó(Figure€4€about€here)ÌÓOÓà  àOne€major€concern€with€Kingððs€EI€is€that,€like€other€methods€of€ecological€inference,€it€may€notÏpick€up€enough€of€the€information€missing€in€aggregate€data€to€represent€contextual€effects€accurately.€ÏChoððs€critique€(1998),€for€example,€creates€a€hypothetical€aggregate€data€sets€from€survey€data,€andÏshows€that€Kingððs€method€does€not€pick€up€the€aggregation€bias€contained€in€her€particular€sample.€€Is€hisÏmethod€equally€limited€for€racial€voting€studies?€€This€application€indicates€that,€because€of€the€virtues€ofÏprecinct„level€voting€data,€Kingððs€method€performs€quite€well.€€For€example,€I€regressed€EIððs€parish„levelÏestimates€on€the€parish€black€density,€controlling€for€the€true€estimates.€€If€EI€falls€prey€to€aggregationÏbias,€errors€in€predicting€the€white€voting€rate€should€change€with€the€black€density€and€vice€versa.€ÏHowever,€the€results€do€not€indicate€a€statistically€significant€connection€between€the€parish€error€and€theÏracial€demographics€(analysis€not€shown);€there€is€no€evidence€aggregation€bias€has€made€muchÏdifference€to€the€parish„level€figures.ÌÌò òÔ& ¤ ÔMoving€Beyond€Aggregate€Dataó óÐ j  Ðà  àSomeÔ'¤j¢SÔ€of€Kingððs€critics€reject€ecological€inference€altogether,€preferring€the€use€of€surveys.€€OfÏcourse,€surveys€have€serious€problems,€going€beyond€sampling€error€to€include€refusals,€deception€andÏquestionnaire€confusion.€€They€are€plagued€with€numerous€sorts€of€bias€(see,€e.g.,€Burden€2000,€390;ÏPalmer€and€Duch€2001),€including€an€inability€to€measure€racial€attitudes€reliably€without€taking€specialÏprecautions€(Kuklinski,€Cobb€and€Gilens€1997;€Traugott€and€Price€1992).€€Almost€all€of€the€variablesÏmeasured€by€a€survey€are€contemporaneous,€and€separating€out€the€causal€order€between€two€variables€isÏdifficult€at€best€(see€Hetherington€and€Globetti€2002€for€one€recent€attempt).€€However,€it€is€worthÏconsidering€how€EI€might€stand€up€against€survey€analysis€for€the€contextual€study€of€voting€behavior.Ìà  àMost€surveys€either€ask€how€people€will€vote€in€advance€or€ask€how€they€voted€afterward.€ÏRespondents€asked€this€question€after€the€fact€misreport€their€voting€at€exceptionally€high€levels,€and€thoseÏasked€before€the€fact€misreport€whether€they€will€really€vote€at€all.€€Presumably€the€best€survey€of€howÏpeople€voted€is€an€exit€poll,€since€it€only€captures€those€who€have€voted€and€it€catches€them€at€a€timeÏwhen€they€have€made€the€final€decision€but€have€not€been€contaminated€by€knowledge€of€the€electionÏresults.€€Certainly€it€is€common€for€journal€reviewers,€when€faced€with€an€aggregate„data€analysis,€toÏresist€the€conclusions€unless€they€come€accompanied€by€exit„poll€analysis.€€Political€scientists€frequentlyÐ +/Ñ(> Ðuse€exit€polls€as€a€data€source€in€studies€of€voting€behavior,€sometimes€even€using€the€data€to€assessÏcontextual€patterns€(Ô_ÔCarseyÔ_Ô€1995;€Ô_ÔHightonÔ_Ô€2002).€€Are€exit€polls€a€serious€rival€to€ecological€inference?Ìà  àBelow€the€presidential€level,€this€is€doubtful.€€Exit€polls€are€rare€except€in€particularly€high„profileÏcampaigns.€€More€importantly,€exit€polls€resemble€other€surveys€in€that€they€provide€little€leverage€atÏtesting€behavior€below€the€state€level€because€they€collect€few€observations€in€any€one€subdivision.€€TheyÏtypically€sample€precincts€to€optimize€overall€estimates;€nothing€in€their€method€should€produce€dataÏmeaningful€at€a€lower€level€of€aggregation.€€Even€areal€units€as€large€as€congressional€districts€mayÏcontain€few€respondents.€€For€example,€only€34€people€from€one€precinct€appeared€in€the€1996€VoterÏNews€Service€data€for€Georgiaððs€2nd€congressional€district.€€The€11òòthóó€district€received€slightly€moreР∠ Ðcoverage:€four€precincts€with€a€combined€151€people.€€These€numbers€are€not€sufficient€to€test€contextualÏtheories.€€Nor€is€the€sampling€frame€used€in€an€exit€poll€likely€to€produce€reliable€estimates€of€behavior€forÏdemographic€groups.€€Indeed,€data€weighted€to€maximize€state„level€accuracy€may€produce€group„levelÏestimates€worse€than€what€Ô_ÔunweightedÔ_Ô€data€would€offer.Ìà  àCompare€the€two€methods€as€applied€to€1996€congressional€voting€in€Georgia.€€Because€precinct„¼level€data€are€available,€aggregate„data€analysis€using€Kingððs€method€has€a€great€deal€of€information€withÏwhich€to€work.€€Georgia€does€not€report€racial€registration,€so€estimates€must€build€from€the€entireÏpopulation€of€adults,€for€whom€turnout€rates€are€not€so€high.€€This€limitation€widens€the€bounds€comparedÏto€those€found€in€Louisiana,€but€segregation€is€nevertheless€the€norm.€€Out€of€2,641€usable€precincts,€not€aÏsingle€black€adult€appeared€in€109€of€them.€€Roughly€43%€of€Georgiaððs€white€adults€and€15.5%€of€blackÏadults€live€in€precincts€where€their€race€predominates€(i.e.,€more€than€95%€of€population).€€Lower€theÏthreshold€to€90%,€and€61.4%€of€whites€and€23.3%€of€blacks€inhabit€homogeneous€precincts.€€The€boundsÏare€therefore€helpful.€€Statewide€racial€turnout€for€the€1992€presidential€contest€must€have€fallen€betweenÏ53.8%€and€71.5%€among€whites€adults,€24.1%€and€€79.3%€among€black€adults.€€With€1992€congressionalÏvoting,€similarly,€the€bounds€on€white€turnout€were€tiny€in€four€of€Georgiaððs€11€districts€(i.e.,€the€range€ofÏpossible€white€turnout€was€less€than€10€percentage€points).€€And€the€range€only€exceeded€20€percentageÏpoints€in€the€three€heavily€black€districts.Ìà  àThe€Georgia€Ô_ÔVNSÔ_Ô€exit€poll,€by€contrast,€is€completely€unreliable€below€the€state€level.€€It€does€aÏwonderful€job€predicting€the€statewide€presidential€vote€once€data€are€weighted:€45.7%€Clinton,€46.9%ÏDole,€6.3%€Perot.€€When€estimates€are€broken€up€by€congressional€district€and€by€race,€though,€they€areÏquite€poor.€€It€becomes€clear€that€some€combination€of€the€sampling€frame€used€by€Ô_ÔVNSÔ_Ô€and€responseÏbias€among€those€polled€results€in€invalid€estimates€of€racial€voting€behavior€by€congressional€district.€ÏTable€3€allows€a€district„by„district€comparison€between€the€VNS€exit„poll€results€and€the€lower€bound€onÐ )/Ï(> Ðwhite€support€for€Clinton.׃×Ý ƒ#ÃÝòòÚ  Ú33Ú  ÚóóÝ  Ý×  ×€€Of€the€11€district„level€estimates€of€white€behavior,€six€are€impossibly€low.€Ð Z ÐAll€but€one€of€those€errors€exceeds€five€percentage€points.ÌÓ  Ó(Table€3€about€here)ÌÓ¸hÓà  àThese€errors€are€consistent,€not€random,€and€therefore€extremely€unlikely€to€result€from€samplingÏerror.€€Clinton€simply€could€not€have€won€as€many€votes€as€he€did€in€these€districts€if€so€few€non„blacksÏsupported€him,€and€the€errors€tend€to€be€worst€in€the€districts€where€we€have€the€most€aggregateÏinformationð!ðthat€is,€in€the€whiter€districts.€€In€Gingrichððs€Sixth,€for€example,€the€exit€poll€sample€of€143Ïwhites€(when€weighted)€reported€giving€23.3%€of€the€vote€to€Clinton.€€However,€looking€at€the€precinctÏdistribution€of€whites€and€votes,€at€least€29.1%€of€white€voters€must€have€done€so.€€In€the€lily„white€Ninth,Ïthe€exit€poll€estimate€drawn€from€99€whites€is€23.2%€for€Clinton,€when€the€actual€white€vote€clearly€wasÏwithin€half€a€percentage€point€of€34%.€€Exit€polls€are€far€off€from€what€was€possible,€let€alone€from€theÏtruth.€€Polls€containing€this€kind€of€error€below€the€state€level€cannot€assist€with€contextual€analysis.€ÏEcological€estimates,€while€imperfect,€sure€seem€better€than€any€alternative€for€analyzing€turnout€or€partyÏchoice€at€the€ballot€box.€€Ô_ÔEIÔ_Ô€offers€a€critical€corrective€to€political€scienceððs€dependence€on€surveys.ÌÌò òConclusionó óÐ ¿ Ðà  àGary€Kingððs€proposed€solution€to€the€ecological€inference€problem€possesses€all€the€virtues€ofÏmethods€previously€used€to€analyze€aggregate€data.€€It€takes€advantage€of€the€tangible€information€foundÏin€segregated€locales,€as€homogeneous€unit€analysis€does,€since€it€precludes€impossible€results€andÏð ðborrows€strengthðð€from€the€homogeneous€places€to€estimate€behavior€in€the€mixed€ones€(King€1997,€106„¼112).€€Similarly,€it€allows€two„stage€analysis€much€as€ecological€regression€will,€with€the€additional€virtueÏof€producing€measures€of€uncertainty€proportional€to€the€real€errors€in€estimation.€€Like€the€neighborhoodÏmodel,€the€extended€version€does€not€require€an€analyst€to€ignore€contextual€patterns€found€in€aggregateÏdata.€€But€it€combines€all€of€these€traits€into€a€unified€model€that€constrains€estimates€according€to€theÏmethod€of€bounds€and€therefore€is€sensitive€to€both€compositional€and€contextual€patterns€in€the€data.€€ItÏproduces€low„level€estimates€with€far€more€precision€than€surveys€typically€make€available.€€EI€is€thus€anÏimportant€advance€in€the€ability€of€researchers€to€conduct€contextual€analysis.Ìà  àKingððs€critics€have€ignored€the€vast€improvement€Ô_ÔEIÔ_Ô€offers€to€scholars€interested€inÏÔ_ÔcontextualizingÔ_Ô€social€behavior.€€Their€applications€did€not€give€a€fair€representation€of€how€Ô_ÔEIÔ_Ô€usuallyÐ 8+Þ$8 Ðperforms.€€In€particular,€the€applications€presented€in€this€chapter€indicate€that€Ô_ÔEIÔ_Ô€has€taken€us€far€enoughÏto€study€voting€behavior€on€exactly€the€sorts€of€questions€ð!ð€turnout€and€racial€behavior€ð!ð€for€which€surveyÏquestions€are€unreliable€and€survey€data€limited€in€their€contextual€information.€€I€tested€Kingððs€Ô_ÔEIÔ_Ô€usingÏtwo€Louisiana€data€sets€in€which€racial€behavior€was€known.€€One€was€a€1968€parish„level€data€setÏwhere€I€knew€racial€rates€of€voter€registration€among€black€and€white€adults€and€also€held€a€strong€priorÏabout€racial€voting€preferences.€€The€other€was€a€1991€precinct„level€data€set€where€I€knew€the€racialÏturnout€rates€among€those€registered.€€These€cases€indicated€that€Kingððs€Ô_ÔEIÔ_Ô€performs€admirably,€whetherÏthe€comparison€is€(1)€with€other€methods€of€aggregate„data€analysis,€(2)€with€the€truth€in€data€sets€forÏwhich€estimates€can€be€evaluated,€or€(3)€with€the€likely€assistance€that€surveys€might€provide.€€Kingððs€Ô_ÔEIÔ_ÔÏrun€on€precinct„level€data€produced€estimates€that€were€extremely€close€to€the€truth€at€the€statewide,Ïparish€and€precinct€levels.€It€also€picked€up€some,€but€not€all,€of€the€contextual€pattern€contained€in€theseÏdata.€The€parish„level€analysis,€while€clearly€based€on€poor€data,€not€only€resulted€in€fairly€preciseÏestimates€of€voter€registration,€it€also€avoided€the€error€committed€by€just€about€every€aggregate„dataÏanalysis€of€the€Wallace€vote:€the€tendency€to€estimate€high€black€support€for€the€segregationist.€ÏTherefore,€despite€the€criticism€Kingððs€approach€has€faced€and€the€limits€it€shows€when€applied€toÏconcocted€data€sets,€it€is€unparalleled€when€applied€to€the€actual€sort€of€data€needed€for€analyzingÏimportant€social€issues€such€as€racial€voting€patterns.Ìà  àAs€I€have€illustrated,€the€quality€of€Ô_ÔEIÔ_Ô€estimates€responds€to€an€analystððs€ability€to€anticipateÏcontextual€patterns€and€inform€the€software€of€these€expectations€ð!ð€for€example,€by€including€Ô_ÔcovariatesÔ_ÔÏthat€capture€the€contextual€effect€directly€(see€Ô_ÔHerronÔ_Ô€and€Ô_ÔShottsÔ_Ô€2003€and€the€exchange€that€hasÏfollowed).€€Of€course,€estimates€shaped€by€a€practitionerððs€instincts,€field€research,€or€theoreticalÏarguments€may€face€a€greater€burden€of€proof€than€estimates€generated€by€a€plug„and„chug€equation€thatÏexternalizes€judgment.€€But€developments€within€Bayesian€statistics€have€created,€even€amongÏquantitative€researchers,€a€growing€sense€that€analysts€should€not€approach€empirical€inference€under€theÏpretense€that€they€know€nothing€about€the€subjects€they€study.€€Kingððs€solution€to€the€ecological€inferenceÏproblem€fits€comfortably€within€this€trend€of€developing€methods€that€succeed€when€analysts€canÏincorporate€what€they€have€learned,€a€Bayesian€approach€that€has€received€even€greater€developmentÏsince€the€publication€of€his€book€(see€Chapter€1€[Wakefield]).€€My€applications,€guided€by€the€relevantÏsubstantive€literature,€suggest€that€Kingððs€approach€outperforms€every€commonly€used€alternative€forÏecological€inference,€incorporating€the€advantages€of€all€of€them€while€escaping€the€pitfalls€of€each.€ÏThere€is€no€reason,€aside€from€ease€of€use,€that€would€justify€rejecting€Kingððs€ecological„inferenceÏmethod€in€favor€of€the€conventional€competition.Ð )/Ï(> Їò òReferencesó óÐ Z ÐÓ€Óñ[GñÔ‡&c´%%%c´Ôñ[Gññ[GññZGñÔ‡ô /õ%%c´ÔñZGññ[Gñà0  àà ° àAlt,€James€E.€€1994.€€ð ðThe€Impact€of€the€Voting€Rights€Act€on€Black€and€White€Voter€Registration€in€theÐ ­S ÐSouth.ðð€€In€òòQuiet€Revolution€in€the€South:€The€Impact€of€the€Voting€Rights€Act,€1965„1990,óóÐ Ž4 Ðed.€Chandler€Davidson€and€Bernard€Ô_ÔGrofmanÔ_Ô.€€Princeton,€NJ:€Princeton€University€Press.Ð (#(# Ðà0  àà ° àÔ_ÔAnselinÔ_Ô,€Luc,€and€Wendy€K.€Tam€Ô_ÔChoÔ_Ô.€€2002.€€ð ðSpatial€Effects€and€Ecological€Inference.ðð€€òòPoliticalÐ P ö ÐAnalysisóó€10(Summer):276„97.Ð1 ×(#(# Ðà0  àà ° àÔ_ÔBarretoÔ_Ô,€Matt€A.,€Gary€M.€Ô_ÔSeguraÔ_Ô,€and€Nathan€D.€Woods.€€2002.€€ð ðRest€Assured?€€Estimating€theÏPotential€Mobilizing€or€Demobilizing€Effects€of€Overlapping€Majority„Minority€Districts.ðð€€PaperÏpresented€at€the€annual€meeting€of€the€Midwest€Political€Science€Association,€Chicago,€IL,€AprilÏ25„28.Ð (#(# Ðà0  àà ° àBiggar,€Jeanne€C.,€and€Julia€H.€Martin.€€1976.€€ð ðEcological€Determinants€of€White€and€Black€ImmigrationÏto€Small€Areas€in€Central€Cities,€1965€to€1970.ðð€€òòSocial€Forcesóó€55(September):72„84.Ðw (#(# Ðà0  àà ° àBurden,€Barry€C.€€2000.€€ð ðVoter€Turnout€and€the€National€Election€Studies.ðð€€òòPolitical€AnalysisóóÐ Xþ  Ð8(Autumn):333„45.Ð (#(# Ðà0  àà ° àBurden,€Barry€C.,€and€David€C.€Kimball.€€1998.€€ð ðA€New€Approach€to€the€Study€of€Ticket€Splitting.ðð€ÏòòAmerican€Political€Science€Reviewóó€92(September):533„44.Ðû¡ (#(# Ðà0  àà ° àCampbell,€David,€and€Joe€R.€Ô_ÔFeaginÔ_Ô.€€1975.€€ð ðBlack€Politics€in€the€South:€A€Descriptive€Analysis.ðð€ÏòòJournal€of€Politicsóó€37(February):129„62.нc(#(# Ðà0  àà ° àÔ_ÔCarseyÔ_Ô,€Thomas€M.€€1995.€€ð ðThe€Contextual€Effect€of€Race€on€White€Voter€Behavior:€The€1989€NewÏYork€City€Mayoral€Election.ðð€€òòJournal€of€Politicsóó€57:221-228.Ð%(#(# Ðà0  àà ° àÔ_ÔChoÔ_Ô,€Wendy€K.€Tam.€€1998.€€ð ðÔ_ÔIffÔ_Ô€the€Assumption€Fits€.€.€.€:€A€Comment€on€the€King€Ecological€InferenceÏSolution.ðð€€òòPolitical€Analysisóó€7:143„63.ÐAç(#(# Ðà0  àà ° àÔ_ÔCoutoÔ_Ô,€Richard€A.€€1993.€€ð ðNarrative,€Free€Space,€and€Political€Leadership€in€Social€Movements.ðð€ÏòòJournal€of€Politicsóó€55(February):57„79.Щ(#(# Ðà0  àà ° àDuncan,€Otis€Dudley,€and€Beverly€Davis.€€1953.€€ð ðAn€Alternative€to€Ecological€Correlation.ðð€€òòAmericanÐ äŠ ÐSociological€Reviewóó€18(December):665„66.ÐÅk(#(# Ðà0  àà ° àÔ_ÔFlaniganÔ_Ô,€William€H.,€and€Nancy€H.€Ô_ÔZingaleÔ_Ô.€€1985.€€ð ðAlchemistððs€Gold:€Inferring€Individual€RelationshipsÏfrom€Aggregate€Data.ðð€€òòSocial€Science€Historyóó€9(Winter):71„91.Ї-(#(# Ðà0  àà ° àFreedman,€David€A.,€Stephen€P.€Klein,€Jerome€Sacks,€Charles€A.€Ô_ÔSmythÔ_Ô,€and€Charles€G.€Everett.€€1991.€Ïð ðEcological€Regression€and€Voting€Rights.ðð€€òòEvaluation€Reviewóó€15(December):673„711.ÐI ï(#(# Ðà0  àà ° àFreedman,€David€A.,€S.P.€Klein,€M.€Ô_ÔOstlandÔ_Ô,€and€Ô_ÔM.R.Ô_Ô€Roberts.€€1998.€€Review€of€ð ðA€Solution€to€theÏEcological€Inference€Problem.ðð€òòJournal€of€the€American€Statistical€AssociationóóÐ  "±  Ð93(December):1518„22.Ð (#(# Ðà0  àà ° àFreedman,€David€A.,€M.€Ô_ÔOstlandÔ_Ô,€Ô_ÔM.R.Ô_Ô€Roberts,€and€S.P.€Klein.€€1999.€€ð ðResponse€to€Kingððs€Comment.ðð€ÏòòJournal€of€the€American€Statistical€Associationóó€94(March):355„57.Ю$T#(#(# Ðà0  àà ° àGay,€Claudine.€€2001.€€ð ðThe€Effect€of€Black€Congressional€Representation€on€Political€Participation.ðð€ÏòòAmerican€Political€Science€Reviewóó€95:589.Ðp& %(#(# Ðà0  àà ° àÔ_ÔGimpelÔ_Ô,€James€G.,€and€Jason€E.€Ô_ÔSchuknechtÔ_Ô.€€2002.€€ð ðPolitical€and€Demographic€Foundations€forÏSectionalism€in€State€Politics:€The€Connecticut€Case.ðð€€òòAmerican€Politics€ResearchóóÐ 2(Ø!' 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àKey,€Ô_ÔV.O.Ô_Ô€Jr.€[1949.]€€1984.€€òòSouthern€Politics€in€State€and€Nation.óó€€Knoxville,€TN:€University€ofÐ ¨N  ÐTennessee€Press.€€New€edition.Ð (#(# Ðà0  àà ° àKing,€Gary.€€1997.€€òòA€Solution€to€the€Ecological€Inference€Problem:€Reconstructing€IndividualÐ j ÐBehavior€from€Aggregate€Data.óó€€Princeton,€NJ:€Princeton€University€Press.ÐKñ(#(# Ðà0  àà ° àKing,€Gary.€€1999.€€ð ðThe€Future€of€Ecological€Inference€Research:€A€Comment€on€Freedman€et€al.ðð€ÏòòJournal€of€the€American€Statistical€Associationóó€94(March):352„55.Ð ³(#(# Ðà0  àà ° àKing,€Gary.€€2000.€€ð ðGeography,€Statistics,€and€Ecological€Inference.ðð€€òòAnnals€of€the€Association€ofÐ î” ÐAmerican€Geographersóó€90:601„606.ÐÏu(#(# Ðà0  àà ° àKing,€Gary.€€2002.€€ð ðIsolating€Spatial€Ô_ÔAutocorrelationÔ_Ô,€Aggregation€Bias,€and€Distributional€Violations€inÏEcological€Inference.ðð€€òòPolitical€Analysisóó€10(Summer):298„300.Б7(#(# Ðà0  àà ° 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ÐÔ_ÔVoluntarismÔ_Ô€in€American€Politics.óó€€Cambridge,€MA:€Harvard€University€Press.Ð<$ %(#(# Ðà0  àà ° àVoss,€D.€Stephen.€€1996.€€ð ðBeyond€Racial€Threat:€Failure€of€an€Old€Hypothesis€in€the€New€South.ðð€ÏòòJournal€of€Politicsóó€58(November):1156-70.Ðþ%Ê!'(#(# Ðà0  àà ° àVoss,€D.€Stephen.€2000.€€Familiarity€Doesn't€Breed€Contempt:€The€Political€Geography€of€RacialÏPolarization.€€Doctoral€dissertation,€Harvard€University€Dept.€of€Government.Ð (#(# Ðà0  àà ° àVoss,€D.€Stephen.€€2001.€€ð ðHuddled€Masses€or€Immigrant€Menace?€€The€Black€Belt€Hypothesis€Did€NotÏEmigrate.ðð€€òòAmerican€Review€of€Politicsóó€22(Summer):217„32.Ђ)N%+(#(# Ðà0  àà ° àVoss,€D.€Stephen,€and€David€Lublin.€€2001.€€ð ðBlack€Incumbents,€White€Districts:€An€Appraisal€of€theÏ1996€Congressional€Elections.ðð€€òòAmerican€Politics€Researchóó€29(March):€141„82.ÐD+'-(#(# Ðà0  àà ° àVoss,€D.€Stephen,€and€Penny€Miller.€€2001.€€ð ðFollowing€a€False€Trail:€The€Hunt€for€White€Backlash€inÏKentuckyððs€1996€Desegregation€Vote.ðð€€òòState€Politics€and€Policy€Quarterlyóó€1(March):63„82.Ð-Ò(/(#(# Ðà0  àà ° àWasserman,€Ira€M.€and€David€R.€Segal.€€1973.€€ð ðAggregation€Effects€in€the€Ecological€Study€ofÏPresidential€Voting.ðð€€òòAmerican€Journal€of€Political€Scienceóó€17:177„81.ñZGñÔ#†%c´%õô /Jâ#ÔñZGñÓ€dÓñ[GññZGñÔ#†%c´%õô / ·#ÔñZGññ[Gññ[GñÔ#†%c´%%&c´{#Ôñ[GñÐ È.”*1(#(# Ðßp€cF<,(`~0âþ€î ( `ÀÒ¹EÚî (î (Ñ„6)pßâ °Ñ°Ñ°(#°(#âÐ Z°Ñ°Ñ Ðßp€c,<,(`~0Èþ€pR( `ÀðñE€ÚpR(pR(5è(pßâ °5°5°(#°(#âÐ Z°5°5 ÐÑ€$5Ñßp€cC<,(`~0Wÿ¥3E( `ÀX£ELÿ3E(3E(´ÉÛ(pßâ °°°(#°(#âÔ_Ô°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â °°Ê"(#Ê"(#â°â Ê"(#Ê"(#°°â°â 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