Olemis Lang avatar Olemis Lang committed 15afd5b

[IMO] Adding .euk files et al. for IMO-2007-P2-P4, IMO-2011-P6, IMO-2012-P1

Comments (0)

Files changed (26)

IMO/2007/imo2k7p2.euk

+
+A B C D parallelogram
+
+locus E(t = 0.1 to 0.9 step 20)
+  F = barycenter(C, t, D, 1 - t)
+  l = line(A, F)
+  G = intersection(l, line(B, C))
+  put center(circle(C, F, G))
+end

IMO/2007/imo2k7p4.euk

+A B C triangle
+b = bisector(A, C, B)
+c = circle(A, B, C)
+K = midpoint(segment(B, C))
+L = midpoint(segment(A, C))
+O = center(c)
+P = intersection(b, line(K, O))
+Q = intersection(b, line(L, O))
+C R intersection(b, c)
+
+frame(-4, -4, 8, 6)
+
+draw(A, B, C)
+draw(segment(C, R))
+draw(segment(O, K))
+draw(segment(O, L))
+draw(segment(R, L))
+draw(segment(R, K))
+draw(c)
+draw(segment(O, Q))
+draw(segment(O, P))
+
+draw("$A$", A, -130:)
+draw("$B$", B, -50:)
+draw("$C$", C, 130:)
+draw("$O$", O, -50:)
+draw("$P$", P, 0.1, -160:)
+draw("$Q$", Q, 0.1, 50:)
+draw("$R$", R, -130:)
+draw("$K$", K, 50:)
+draw("$L$", L, 130:)
+
+mark(A, C, R)
+mark(R, C, B)
+
Added
New image

IMO/2007/imo2k7p4.ps

+%!PS-Adobe-3.0
+%%Title: flattened PostScript generated from file: imo2k7p4.pdf
+%%Creator: pstoedit
+%%BoundingBox: (atend)
+%%Pages: (atend)
+%%EndComments
+%%BeginProlog
+/setPageSize { pop pop } def
+/ntranslate { neg exch neg exch translate } def
+/setshowparams { pop pop pop} def
+/awidthshowhex { dup length 0 gt { dup /ASCIIHexDecode filter exch length 2 div cvi string readstring pop } if awidthshow } def
+/awidthshowhexwithglyphs { true { pop awidthshowhex } { { glyphshow } forall pop } ifelse } def
+/backendconstraints { pop pop } def
+/pstoedit.newfont { 80 string cvs  findfont  dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall  /Encoding ISOLatin1Encoding def   dup 80 string cvs /FontName exch def  currentdict end  definefont pop } def
+/imagestring 1 string def
+%%EndProlog
+%%BeginSetup
+% textastext doflatten backendconstraints   
+1 0 backendconstraints
+%%EndSetup
+%%Page: 1 1
+save %{
+save %{
+gsave %{
+ gsave %{
+ gsave %{
+  
+ 
+% 1                   pathnumber
+% clippath
+ 612 792 setPageSize
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.1 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 69.0117 436.559 moveto
+ 69.0117 436.559 lineto
+ 69.0117 436.559 lineto
+ 69.0117 436.559 lineto
+ closepath
+clip
+gsave %{
+  0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 340.2 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+%Warning: Level 2 version of image and imagemask not supported for this backend (due to lack of support for bitmaps on intermediate files)
+grestore %}
+ grestore %}
+ gsave %{
+  
+ 
+% 2                   pathnumber
+% clippath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.1 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 72.0 436.559 moveto
+ 72.0 720.023 lineto
+ 412.156 720.023 lineto
+ 412.156 436.559 lineto
+ closepath
+clip
+ 
+ 
+% 3                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 217.289 602.035 moveto
+ 185.398 549.961 lineto
+ 355.48 549.961 lineto
+ 249.18 654.109 lineto
+ closepath
+stroke
+ 
+ 
+% 4                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 249.18 654.109 moveto
+ 270.438 482.234 lineto
+stroke
+ 
+ 
+% 5                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 270.438 569.488 moveto
+ 302.328 602.035 lineto
+stroke
+ 
+ 
+% 6                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 270.438 569.488 moveto
+ 217.289 602.035 lineto
+stroke
+ 
+ 
+% 7                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 270.438 482.234 moveto
+ 217.289 602.035 lineto
+stroke
+ 
+ 
+% 8                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 270.438 482.234 moveto
+ 302.328 602.035 lineto
+stroke
+ 
+ 
+% 9                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 357.441 569.488 moveto
+ 357.441 617.539 318.488 656.492 270.438 656.492 curveto
+ 222.391 656.492 183.438 617.539 183.438 569.488 curveto
+ 183.438 521.438 222.391 482.484 270.438 482.484 curveto
+ 318.488 482.484 357.441 521.438 357.441 569.488 curveto
+ closepath
+stroke
+ 
+ 
+% 10                  pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 270.438 569.488 moveto
+ 258.766 576.641 lineto
+stroke
+ 
+ 
+% 11                  pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 270.438 569.488 moveto
+ 260.855 559.707 lineto
+stroke
+gsave %{
+ (UAJDUG+CMMI10) cvn /UAJDUG+CMMI10 pstoedit.newfont
+ 
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 12                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 174.785 537.145 moveto
+ 174.387 536.477 173.996 536.34 173.559 536.309 curveto
+ 173.438 536.301 173.348 536.301 173.348 536.109 curveto
+ 173.348 536.051 173.398 536.0 173.477 536.0 curveto
+ 173.746 536.0 174.055 536.031 174.336 536.031 curveto
+ 174.664 536.031 175.012 536.0 175.332 536.0 curveto
+ 175.391 536.0 175.52 536.0 175.52 536.188 curveto
+ 175.52 536.301 175.43 536.309 175.359 536.309 curveto
+ 175.133 536.328 174.895 536.41 174.895 536.656 curveto
+ 174.895 536.777 174.953 536.887 175.031 537.027 curveto
+ 175.102 537.145 175.113 537.145 175.789 538.301 curveto
+ 178.289 538.301 lineto
+ 178.309 538.094 178.449 536.738 178.449 536.637 curveto
+ 178.449 536.34 177.93 536.309 177.73 536.309 curveto
+ 177.594 536.309 177.492 536.309 177.492 536.109 curveto
+ 177.492 536.0 177.613 536.0 177.633 536.0 curveto
+ 178.043 536.0 178.469 536.031 178.879 536.031 curveto
+ 179.129 536.031 179.754 536.0 180.004 536.0 curveto
+ 180.062 536.0 180.184 536.0 180.184 536.199 curveto
+ 180.184 536.309 180.082 536.309 179.953 536.309 curveto
+ 179.336 536.309 179.336 536.379 179.305 536.668 curveto
+ 178.699 542.895 lineto
+ 178.68 543.094 178.68 543.133 178.508 543.133 curveto
+ 178.352 543.133 178.309 543.062 178.25 542.965 curveto
+ closepath
+ 175.98 538.609 moveto
+ 177.941 541.898 lineto
+ 178.262 538.609 lineto
+ closepath
+ 180.309 536.273 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 13                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 361.594 536.777 moveto
+ 361.496 536.387 361.473 536.309 360.688 536.309 curveto
+ 360.52 536.309 360.418 536.309 360.418 536.109 curveto
+ 360.418 536.0 360.508 536.0 360.688 536.0 curveto
+ 364.242 536.0 lineto
+ 365.816 536.0 366.992 537.176 366.992 538.152 curveto
+ 366.992 538.871 366.414 539.445 365.449 539.559 curveto
+ 366.484 539.746 367.531 540.484 367.531 541.43 curveto
+ 367.531 542.168 366.875 542.805 365.68 542.805 curveto
+ 362.332 542.805 lineto
+ 362.141 542.805 362.043 542.805 362.043 542.605 curveto
+ 362.043 542.496 362.133 542.496 362.32 542.496 curveto
+ 362.34 542.496 362.531 542.496 362.699 542.477 curveto
+ 362.879 542.457 362.969 542.445 362.969 542.316 curveto
+ 362.969 542.277 362.957 542.246 362.93 542.129 curveto
+ closepath
+ 363.098 539.645 moveto
+ 363.715 542.117 lineto
+ 363.805 542.465 363.824 542.496 364.254 542.496 curveto
+ 365.539 542.496 lineto
+ 366.414 542.496 366.625 541.906 366.625 541.469 curveto
+ 366.625 540.594 365.77 539.645 364.555 539.645 curveto
+ closepath
+ 362.648 536.309 moveto
+ 362.512 536.309 362.492 536.309 362.43 536.32 curveto
+ 362.332 536.328 362.301 536.34 362.301 536.418 curveto
+ 362.301 536.449 362.301 536.469 362.352 536.648 curveto
+ 363.039 539.426 lineto
+ 364.922 539.426 lineto
+ 365.879 539.426 366.066 538.691 366.066 538.262 curveto
+ 366.066 537.273 365.18 536.309 364.004 536.309 curveto
+ closepath
+ 368.023 536.254 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 14                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 243.57 667.926 moveto
+ 243.57 667.953 243.551 668.023 243.461 668.023 curveto
+ 243.434 668.023 243.422 668.016 243.312 667.902 curveto
+ 242.613 667.137 lineto
+ 242.527 667.277 242.066 668.023 240.961 668.023 curveto
+ 238.738 668.023 236.5 665.82 236.5 663.512 curveto
+ 236.5 661.867 237.672 660.781 239.199 660.781 curveto
+ 240.066 660.781 240.82 661.18 241.352 661.637 curveto
+ 242.277 662.453 242.445 663.359 242.445 663.391 curveto
+ 242.445 663.492 242.348 663.492 242.328 663.492 curveto
+ 242.266 663.492 242.215 663.473 242.195 663.391 curveto
+ 242.105 663.102 241.879 662.395 241.191 661.816 curveto
+ 240.504 661.258 239.875 661.09 239.355 661.09 curveto
+ 238.461 661.09 237.406 661.609 237.406 663.16 curveto
+ 237.406 663.73 237.613 665.344 238.609 666.508 curveto
+ 239.219 667.215 240.156 667.715 241.043 667.715 curveto
+ 242.059 667.715 242.645 666.949 242.645 665.793 curveto
+ 242.645 665.395 242.613 665.383 242.613 665.285 curveto
+ 242.613 665.184 242.727 665.184 242.766 665.184 curveto
+ 242.895 665.184 242.895 665.203 242.945 665.383 curveto
+ closepath
+ 243.277 660.859 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 15                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 283.371 560.344 moveto
+ 283.371 561.949 282.316 563.023 280.832 563.023 curveto
+ 278.68 563.023 276.488 560.762 276.488 558.441 curveto
+ 276.488 556.785 277.605 555.781 279.039 555.781 curveto
+ 281.152 555.781 283.371 557.961 283.371 560.344 curveto
+ closepath
+ 279.098 556.039 moveto
+ 278.113 556.039 277.414 556.848 277.414 558.16 curveto
+ 277.414 558.602 277.555 560.055 278.32 561.219 curveto
+ 279.008 562.258 279.984 562.773 280.773 562.773 curveto
+ 281.59 562.773 282.484 562.215 282.484 560.73 curveto
+ 282.484 560.016 282.215 558.461 281.23 557.234 curveto
+ 280.754 556.629 279.934 556.039 279.098 556.039 curveto
+ closepath
+ 283.141 555.82 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 16                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 253.02 557.148 moveto
+ 254.711 557.148 lineto
+ 256.129 557.148 257.512 558.184 257.512 559.301 curveto
+ 257.512 560.066 256.855 560.805 255.551 560.805 curveto
+ 252.32 560.805 lineto
+ 252.133 560.805 252.023 560.805 252.023 560.613 curveto
+ 252.023 560.496 252.113 560.496 252.312 560.496 curveto
+ 252.441 560.496 252.621 560.484 252.738 560.477 curveto
+ 252.898 560.457 252.957 560.426 252.957 560.316 curveto
+ 252.957 560.277 252.949 560.246 252.918 560.129 curveto
+ 251.586 554.777 lineto
+ 251.484 554.387 251.465 554.309 250.676 554.309 curveto
+ 250.508 554.309 250.398 554.309 250.398 554.121 curveto
+ 250.398 554.0 250.52 554.0 250.547 554.0 curveto
+ 250.828 554.0 251.535 554.031 251.812 554.031 curveto
+ 252.023 554.031 252.242 554.02 252.449 554.02 curveto
+ 252.672 554.02 252.891 554.0 253.098 554.0 curveto
+ 253.168 554.0 253.297 554.0 253.297 554.199 curveto
+ 253.297 554.309 253.207 554.309 253.02 554.309 curveto
+ 252.648 554.309 252.371 554.309 252.371 554.488 curveto
+ 252.371 554.547 252.391 554.598 252.402 554.656 curveto
+ closepath
+ 253.734 560.117 moveto
+ 253.824 560.465 253.844 560.496 254.273 560.496 curveto
+ 255.23 560.496 lineto
+ 256.059 560.496 256.586 560.227 256.586 559.539 curveto
+ 256.586 559.152 256.387 558.293 255.996 557.934 curveto
+ 255.5 557.488 254.902 557.406 254.465 557.406 curveto
+ 253.059 557.406 lineto
+ closepath
+ 256.711 554.051 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 17                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 264.363 581.059 moveto
+ 265.906 581.648 267.371 583.422 267.371 585.344 curveto
+ 267.371 586.949 266.316 588.023 264.832 588.023 curveto
+ 262.68 588.023 260.488 585.762 260.488 583.441 curveto
+ 260.488 581.785 261.605 580.781 263.039 580.781 curveto
+ 263.289 580.781 263.625 580.82 264.016 580.93 curveto
+ 263.977 580.312 263.977 580.293 263.977 580.164 curveto
+ 263.977 579.844 263.977 579.066 264.801 579.066 curveto
+ 265.988 579.066 266.465 580.891 266.465 581.0 curveto
+ 266.465 581.07 266.395 581.102 266.355 581.102 curveto
+ 266.277 581.102 266.258 581.051 266.238 580.988 curveto
+ 265.996 580.281 265.418 580.035 265.07 580.035 curveto
+ 264.613 580.035 264.465 580.301 264.363 581.059 curveto
+ closepath
+ 262.48 581.141 moveto
+ 261.703 581.449 261.363 582.227 261.363 583.121 curveto
+ 261.363 583.809 261.625 585.223 262.383 586.301 curveto
+ 263.109 587.316 264.043 587.773 264.773 587.773 curveto
+ 265.77 587.773 266.496 586.996 266.496 585.664 curveto
+ 266.496 584.668 265.988 582.336 264.312 581.398 curveto
+ 264.266 581.746 264.164 582.473 263.438 582.473 curveto
+ 262.91 582.473 262.422 581.977 262.422 581.457 curveto
+ 262.422 581.258 262.48 581.148 262.48 581.141 curveto
+ closepath
+ 263.098 581.031 moveto
+ 262.957 581.031 262.641 581.031 262.641 581.457 curveto
+ 262.641 581.855 263.02 582.254 263.438 582.254 curveto
+ 263.855 582.254 264.043 582.016 264.043 581.41 curveto
+ 264.043 581.258 264.035 581.25 263.934 581.211 curveto
+ 263.676 581.102 263.379 581.031 263.098 581.031 curveto
+ closepath
+ 268.0 581.023 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 18                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 261.734 475.117 moveto
+ 261.797 475.355 261.824 475.457 262.016 475.484 curveto
+ 262.105 475.496 262.422 475.496 262.621 475.496 curveto
+ 263.328 475.496 264.438 475.496 264.438 474.508 curveto
+ 264.438 474.172 264.277 473.484 263.887 473.094 curveto
+ 263.629 472.836 263.102 472.516 262.203 472.516 curveto
+ 261.09 472.516 lineto
+ closepath
+ 263.172 472.387 moveto
+ 264.176 472.605 265.363 473.305 265.363 474.309 curveto
+ 265.363 475.168 264.465 475.805 263.16 475.805 curveto
+ 260.32 475.805 lineto
+ 260.121 475.805 260.031 475.805 260.031 475.605 curveto
+ 260.031 475.496 260.121 475.496 260.312 475.496 curveto
+ 260.332 475.496 260.52 475.496 260.691 475.477 curveto
+ 260.871 475.457 260.957 475.445 260.957 475.316 curveto
+ 260.957 475.277 260.949 475.246 260.918 475.129 curveto
+ 259.586 469.777 lineto
+ 259.484 469.387 259.465 469.309 258.676 469.309 curveto
+ 258.5 469.309 258.41 469.309 258.41 469.109 curveto
+ 258.41 469.0 258.527 469.0 258.547 469.0 curveto
+ 258.828 469.0 259.523 469.031 259.805 469.031 curveto
+ 260.082 469.031 260.789 469.0 261.07 469.0 curveto
+ 261.148 469.0 261.27 469.0 261.27 469.199 curveto
+ 261.27 469.309 261.18 469.309 260.988 469.309 curveto
+ 260.621 469.309 260.34 469.309 260.34 469.488 curveto
+ 260.34 469.547 260.359 469.598 260.371 469.656 curveto
+ 261.027 472.297 lineto
+ 262.215 472.297 lineto
+ 263.121 472.297 263.301 471.738 263.301 471.391 curveto
+ 263.301 471.242 263.219 470.934 263.16 470.703 curveto
+ 263.09 470.426 263.0 470.055 263.0 469.855 curveto
+ 263.0 468.781 264.195 468.781 264.328 468.781 curveto
+ 265.172 468.781 265.523 469.785 265.523 469.926 curveto
+ 265.523 470.047 265.414 470.047 265.402 470.047 curveto
+ 265.312 470.047 265.293 469.977 265.273 469.906 curveto
+ 265.023 469.168 264.594 469.0 264.367 469.0 curveto
+ 264.039 469.0 263.969 469.219 263.969 469.609 curveto
+ 263.969 469.918 264.027 470.426 264.066 470.742 curveto
+ 264.086 470.883 264.105 471.07 264.105 471.211 curveto
+ 264.105 471.98 263.441 472.289 263.172 472.387 curveto
+ closepath
+ 265.281 468.59 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 19                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 312.07 613.023 moveto
+ 312.062 613.055 312.02 613.133 312.02 613.164 curveto
+ 312.02 613.176 312.199 613.312 312.309 613.395 curveto
+ 314.055 614.738 lineto
+ 314.988 615.426 315.379 615.465 315.676 615.496 curveto
+ 315.758 615.504 315.855 615.516 315.855 615.695 curveto
+ 315.855 615.734 315.828 615.805 315.746 615.805 curveto
+ 315.527 615.805 315.277 615.773 315.039 615.773 curveto
+ 314.68 615.773 314.293 615.805 313.934 615.805 curveto
+ 313.863 615.805 313.746 615.805 313.746 615.605 curveto
+ 313.746 615.535 313.793 615.504 313.863 615.496 curveto
+ 314.082 615.477 314.172 615.426 314.172 615.285 curveto
+ 314.172 615.105 313.875 614.879 313.812 614.828 curveto
+ 309.93 611.84 lineto
+ 310.727 615.039 lineto
+ 310.816 615.395 310.836 615.496 311.562 615.496 curveto
+ 311.812 615.496 311.902 615.496 311.902 615.695 curveto
+ 311.902 615.785 311.82 615.805 311.762 615.805 curveto
+ 311.484 615.805 310.766 615.773 310.488 615.773 curveto
+ 310.199 615.773 309.492 615.805 309.203 615.805 curveto
+ 309.133 615.805 309.004 615.805 309.004 615.613 curveto
+ 309.004 615.496 309.094 615.496 309.293 615.496 curveto
+ 309.422 615.496 309.602 615.484 309.719 615.477 curveto
+ 309.879 615.457 309.938 615.426 309.938 615.316 curveto
+ 309.938 615.277 309.93 615.246 309.898 615.129 curveto
+ 308.562 609.777 lineto
+ 308.465 609.387 308.445 609.309 307.656 609.309 curveto
+ 307.488 609.309 307.379 609.309 307.379 609.121 curveto
+ 307.379 609.0 307.5 609.0 307.527 609.0 curveto
+ 307.809 609.0 308.516 609.031 308.793 609.031 curveto
+ 309.004 609.031 309.223 609.02 309.43 609.02 curveto
+ 309.648 609.02 309.871 609.0 310.078 609.0 curveto
+ 310.148 609.0 310.277 609.0 310.277 609.199 curveto
+ 310.277 609.309 310.188 609.309 310.0 609.309 curveto
+ 309.629 609.309 309.352 609.309 309.352 609.488 curveto
+ 309.352 609.559 309.41 609.777 309.441 609.926 curveto
+ 309.582 610.445 309.711 610.973 309.84 611.492 curveto
+ 311.324 612.645 lineto
+ 311.582 612.047 312.23 610.562 312.48 609.965 curveto
+ 312.598 609.699 312.598 609.676 312.598 609.617 curveto
+ 312.598 609.32 312.172 609.309 312.082 609.309 curveto
+ 311.973 609.309 311.863 609.309 311.863 609.109 curveto
+ 311.863 609.0 311.98 609.0 312.0 609.0 curveto
+ 312.398 609.0 312.816 609.031 313.215 609.031 curveto
+ 313.438 609.031 313.973 609.0 314.191 609.0 curveto
+ 314.242 609.0 314.371 609.0 314.371 609.199 curveto
+ 314.371 609.309 314.262 609.309 314.172 609.309 curveto
+ 313.766 609.32 313.637 609.41 313.484 609.758 curveto
+ closepath
+ 315.785 608.828 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 20                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 208.727 615.027 moveto
+ 208.816 615.387 208.844 615.496 209.781 615.496 curveto
+ 210.082 615.496 210.16 615.496 210.16 615.684 curveto
+ 210.16 615.805 210.051 615.805 210.0 615.805 curveto
+ 209.672 615.805 208.855 615.773 208.527 615.773 curveto
+ 208.227 615.773 207.5 615.805 207.203 615.805 curveto
+ 207.133 615.805 207.012 615.805 207.012 615.605 curveto
+ 207.012 615.496 207.102 615.496 207.293 615.496 curveto
+ 207.312 615.496 207.5 615.496 207.672 615.477 curveto
+ 207.848 615.457 207.938 615.445 207.938 615.316 curveto
+ 207.938 615.277 207.93 615.246 207.898 615.129 curveto
+ 206.562 609.777 lineto
+ 206.465 609.387 206.445 609.309 205.656 609.309 curveto
+ 205.488 609.309 205.387 609.309 205.387 609.109 curveto
+ 205.387 609.0 205.477 609.0 205.656 609.0 curveto
+ 210.27 609.0 lineto
+ 210.508 609.0 210.52 609.0 210.578 609.168 curveto
+ 211.367 611.32 lineto
+ 211.406 611.43 211.406 611.449 211.406 611.461 curveto
+ 211.406 611.5 211.375 611.57 211.285 611.57 curveto
+ 211.195 611.57 211.188 611.52 211.117 611.359 curveto
+ 210.777 610.445 210.34 609.309 208.617 609.309 curveto
+ 207.68 609.309 lineto
+ 207.539 609.309 207.52 609.309 207.461 609.32 curveto
+ 207.359 609.328 207.332 609.34 207.332 609.418 curveto
+ 207.332 609.449 207.332 609.469 207.383 609.648 curveto
+ closepath
+ 212.211 608.738 moveto
+eofill
+gsave %{
+ grestore %}
+ grestore %}
+  
+ 
+% 21                  pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 241.777 642.023 moveto
+ 244.004 640.66 246.566 639.938 249.18 639.938 curveto
+ 249.762 639.938 250.344 639.973 250.922 640.043 curveto
+stroke
+ 
+ 
+% 22                  pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 250.922 640.043 moveto
+ 254.102 640.438 257.059 641.898 259.305 644.191 curveto
+stroke
+grestore %}
+ grestore %}
+ grestore %}
+ showpage
+%%BoundingBox: 69 436 412 720 
+%%Page: 1 1
+restore %}
+restore %}
+restore %}
+restore %}
+showpage
+%%BoundingBox: 999999 999999 0 0 
+%%Page: 2 2
+% normal end reached by pstoedit.pro
+%%Trailer
+%%Pages: 2
+%%EOF
Added
New image
+<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
+<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
+<svg version="1.1" baseProfile="full" id="body" width="8in" height="8in" viewBox="0 0 1 1" preserveAspectRatio="none" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:ev="http://www.w3.org/2001/xml-events">
+<title>SVG drawing</title>
+<desc>This was produced by version 4.2 of GNU libplot, a free library for exporting 2-D vector graphics.</desc>
+<rect id="background" x="0" y="0" width="1" height="1" stroke="none" fill="white"/>
+<g id="content" transform="translate(-0.03125,1.1875) scale(1,-1) scale(0.0017361) " xml:space="preserve" stroke="black" stroke-linecap="butt" stroke-linejoin="miter" stroke-miterlimit="10.433" stroke-dasharray="none" stroke-dashoffset="0" stroke-opacity="1" fill="none" fill-rule="even-odd" fill-opacity="1" font-style="normal" font-variant="normal" font-weight="normal" font-stretch="normal" font-size-adjust="none" letter-spacing="normal" word-spacing="normal" text-anchor="start">
+<polygon points="217.29,602.03 185.4,549.96 355.48,549.96 249.18,654.11 " stroke-width="0.49813" />
+<line x1="276.09" y1="436.57" x2="241.02" y2="720.04" stroke-width="0.49813" />
+<line x1="270.44" y1="569.49" x2="302.33" y2="602.03" stroke-width="0.49813" />
+<line x1="270.44" y1="569.49" x2="217.29" y2="602.03" stroke-width="0.49813" />
+<line x1="270.44" y1="482.23" x2="217.29" y2="602.03" stroke-width="0.49813" />
+<line x1="270.44" y1="482.23" x2="302.33" y2="602.03" stroke-width="0.49813" />
+<path d="M357.44,569.49 L357.33,573.97 L356.99,578.38 L356.44,582.74 L355.67,587.02 L354.7,591.23 L353.53,595.36 L352.16,599.4 L350.6,603.35 L348.86,607.21 L346.94,610.96 L344.85,614.6 L342.58,618.13 L340.16,621.54 L337.57,624.83 L334.84,627.99 L331.96,631.01 L328.94,633.89 L325.78,636.62 L322.49,639.21 L319.08,641.63 L315.55,643.9 L311.91,645.99 L308.16,647.91 L304.3,649.65 L300.35,651.21 L296.31,652.58 L292.18,653.75 L287.97,654.72 L283.69,655.49 L279.33,656.04 L274.92,656.38 L270.44,656.49 C222.39,656.49,183.44,617.54,183.44,569.49 C183.44,521.44,222.39,482.48,270.44,482.48 C318.49,482.48,357.44,521.44,357.44,569.49 Z " stroke-width="0.49813" />
+<line x1="270.44" y1="569.49" x2="258.77" y2="576.64" stroke-width="0.49813" />
+<line x1="270.44" y1="569.49" x2="260.86" y2="559.71" stroke-width="0.49813" />
+<path d="M174.79,537.15 L174.75,537.08 L174.71,537.03 L174.67,536.97 L174.64,536.92 L174.6,536.87 L174.56,536.82 L174.52,536.78 L174.49,536.74 L174.45,536.7 L174.41,536.66 L174.37,536.63 L174.34,536.6 L174.3,536.57 L174.26,536.54 L174.22,536.51 L174.19,536.49 L174.15,536.47 L174.11,536.45 L174.07,536.43 L174.03,536.41 L174,536.4 L173.96,536.38 L173.92,536.37 L173.88,536.36 L173.84,536.35 L173.8,536.34 L173.72,536.33 L173.64,536.32 L173.56,536.31 C173.44,536.3,173.35,536.3,173.35,536.11 C173.35,536.05,173.4,536,173.48,536 C173.75,536,174.05,536.03,174.34,536.03 C174.66,536.03,175.01,536,175.33,536 C175.39,536,175.52,536,175.52,536.19 C175.52,536.3,175.43,536.31,175.36,536.31 C175.13,536.33,174.9,536.41,174.9,536.66 C174.9,536.78,174.95,536.89,175.03,537.03 C175.1,537.15,175.11,537.15,175.79,538.3 H178.29 C178.31,538.09,178.45,536.74,178.45,536.64 C178.45,536.34,177.93,536.31,177.73,536.31 C177.59,536.31,177.49,536.31,177.49,536.11 C177.49,536,177.61,536,177.63,536 C178.04,536,178.47,536.03,178.88,536.03 C179.13,536.03,179.75,536,180,536 C180.06,536,180.18,536,180.18,536.2 C180.18,536.31,180.08,536.31,179.95,536.31 C179.34,536.31,179.34,536.38,179.3,536.67 L178.7,542.9 C178.68,543.09,178.68,543.13,178.51,543.13 C178.35,543.13,178.31,543.06,178.25,542.97 Z " stroke-width="0" fill="black" />
+<polygon points="175.98,538.61 177.94,541.9 178.26,538.61 " stroke-width="0" fill="black" />
+<path d="M361.59,536.78 L361.59,536.74 L361.58,536.71 L361.57,536.68 L361.56,536.64 L361.55,536.62 L361.54,536.59 L361.53,536.56 L361.52,536.54 L361.51,536.52 L361.5,536.5 L361.49,536.48 L361.47,536.46 L361.46,536.44 L361.44,536.42 L361.42,536.41 L361.4,536.4 L361.38,536.38 L361.35,536.37 L361.32,536.36 L361.29,536.35 L361.26,536.35 L361.24,536.34 L361.23,536.34 L361.21,536.34 L361.19,536.33 L361.17,536.33 L361.15,536.33 L361.13,536.32 L361.1,536.32 L361.08,536.32 L361.05,536.32 L361.03,536.32 L361,536.32 L360.98,536.31 L360.95,536.31 L360.92,536.31 L360.89,536.31 L360.86,536.31 L360.83,536.31 L360.79,536.31 L360.76,536.31 L360.72,536.31 L360.69,536.31 C360.52,536.31,360.42,536.31,360.42,536.11 C360.42,536,360.51,536,360.69,536 H364.24 C365.82,536,366.99,537.18,366.99,538.15 C366.99,538.87,366.41,539.45,365.45,539.56 C366.48,539.75,367.53,540.48,367.53,541.43 C367.53,542.17,366.88,542.8,365.68,542.8 H362.33 C362.14,542.8,362.04,542.8,362.04,542.6 C362.04,542.5,362.13,542.5,362.32,542.5 C362.34,542.5,362.53,542.5,362.7,542.48 C362.88,542.46,362.97,542.45,362.97,542.32 C362.97,542.28,362.96,542.25,362.93,542.13 Z " stroke-width="0" fill="black" />
+<path d="M363.1,539.65 L363.71,542.12 C363.8,542.47,363.82,542.5,364.25,542.5 H365.54 C366.41,542.5,366.62,541.91,366.62,541.47 C366.62,540.59,365.77,539.65,364.55,539.65 Z " stroke-width="0" fill="black" />
+<path d="M362.65,536.31 L362.64,536.31 L362.64,536.31 L362.62,536.31 L362.61,536.31 L362.6,536.31 L362.59,536.31 L362.58,536.31 L362.57,536.31 L362.57,536.31 L362.56,536.31 L362.55,536.31 L362.54,536.31 L362.54,536.31 L362.53,536.31 L362.52,536.31 L362.52,536.31 L362.51,536.31 L362.51,536.31 L362.5,536.31 L362.49,536.31 L362.48,536.31 L362.47,536.31 L362.46,536.31 L362.45,536.32 L362.45,536.32 L362.44,536.32 L362.44,536.32 L362.43,536.32 C362.33,536.33,362.3,536.34,362.3,536.42 C362.3,536.45,362.3,536.47,362.35,536.65 L363.04,539.43 H364.92 C365.88,539.43,366.07,538.69,366.07,538.26 C366.07,537.27,365.18,536.31,364,536.31 Z " stroke-width="0" fill="black" />
+<path d="M243.57,667.93 L243.57,667.93 L243.57,667.93 L243.57,667.93 L243.57,667.94 L243.57,667.94 L243.57,667.94 L243.57,667.95 L243.57,667.95 L243.56,667.96 L243.56,667.96 L243.56,667.96 L243.56,667.97 L243.56,667.97 L243.55,667.98 L243.55,667.98 L243.55,667.98 L243.55,667.99 L243.54,667.99 L243.54,668 L243.54,668 L243.53,668 L243.53,668.01 L243.52,668.01 L243.52,668.01 L243.51,668.01 L243.51,668.01 L243.51,668.02 L243.5,668.02 L243.5,668.02 L243.5,668.02 L243.49,668.02 L243.49,668.02 L243.49,668.02 L243.48,668.02 L243.48,668.02 L243.48,668.02 L243.47,668.02 L243.47,668.02 L243.47,668.02 L243.46,668.02 C243.43,668.02,243.42,668.02,243.31,667.9 L242.61,667.14 C242.53,667.28,242.07,668.02,240.96,668.02 C238.74,668.02,236.5,665.82,236.5,663.51 C236.5,661.87,237.67,660.78,239.2,660.78 C240.07,660.78,240.82,661.18,241.35,661.64 C242.28,662.45,242.45,663.36,242.45,663.39 C242.45,663.49,242.35,663.49,242.33,663.49 C242.27,663.49,242.21,663.47,242.2,663.39 C242.1,663.1,241.88,662.4,241.19,661.82 C240.5,661.26,239.88,661.09,239.35,661.09 C238.46,661.09,237.41,661.61,237.41,663.16 C237.41,663.73,237.61,665.34,238.61,666.51 C239.22,667.22,240.16,667.72,241.04,667.72 C242.06,667.72,242.65,666.95,242.65,665.79 C242.65,665.4,242.61,665.38,242.61,665.28 C242.61,665.18,242.73,665.18,242.77,665.18 C242.9,665.18,242.9,665.2,242.95,665.38 Z " stroke-width="0" fill="black" />
+<path d="M283.37,560.34 L283.37,560.49 L283.36,560.64 L283.34,560.78 L283.32,560.92 L283.3,561.06 L283.26,561.19 L283.23,561.32 L283.18,561.44 L283.13,561.56 L283.08,561.68 L283.02,561.79 L282.96,561.9 L282.89,562 L282.82,562.1 L282.74,562.2 L282.66,562.29 L282.57,562.37 L282.48,562.45 L282.39,562.53 L282.29,562.6 L282.18,562.66 L282.08,562.72 L281.97,562.78 L281.85,562.83 L281.74,562.87 L281.62,562.91 L281.49,562.95 L281.37,562.97 L281.24,563 L281.11,563.01 L280.97,563.02 L280.83,563.02 C278.68,563.02,276.49,560.76,276.49,558.44 C276.49,556.78,277.61,555.78,279.04,555.78 C281.15,555.78,283.37,557.96,283.37,560.34 Z " stroke-width="0" fill="black" />
+<path d="M279.1,556.04 L279.01,556.04 L278.92,556.05 L278.83,556.06 L278.74,556.08 L278.66,556.1 L278.58,556.12 L278.5,556.15 L278.42,556.19 L278.34,556.22 L278.27,556.27 L278.2,556.31 L278.13,556.36 L278.07,556.42 L278,556.48 L277.94,556.54 L277.89,556.61 L277.83,556.68 L277.78,556.75 L277.73,556.83 L277.69,556.91 L277.65,557 L277.61,557.09 L277.57,557.18 L277.54,557.28 L277.51,557.37 L277.49,557.48 L277.46,557.58 L277.45,557.69 L277.43,557.8 L277.42,557.92 L277.42,558.04 L277.41,558.16 C277.41,558.6,277.55,560.05,278.32,561.22 C279.01,562.26,279.98,562.77,280.77,562.77 C281.59,562.77,282.48,562.22,282.48,560.73 C282.48,560.02,282.21,558.46,281.23,557.23 C280.75,556.63,279.93,556.04,279.1,556.04 Z " stroke-width="0" fill="black" />
+<path d="M253.02,557.15 H254.71 C256.13,557.15,257.51,558.18,257.51,559.3 C257.51,560.07,256.86,560.8,255.55,560.8 H252.32 C252.13,560.8,252.02,560.8,252.02,560.61 C252.02,560.5,252.11,560.5,252.31,560.5 C252.44,560.5,252.62,560.48,252.74,560.48 C252.9,560.46,252.96,560.43,252.96,560.32 C252.96,560.28,252.95,560.25,252.92,560.13 L251.59,554.78 C251.48,554.39,251.46,554.31,250.68,554.31 C250.51,554.31,250.4,554.31,250.4,554.12 C250.4,554,250.52,554,250.55,554 C250.83,554,251.54,554.03,251.81,554.03 C252.02,554.03,252.24,554.02,252.45,554.02 C252.67,554.02,252.89,554,253.1,554 C253.17,554,253.3,554,253.3,554.2 C253.3,554.31,253.21,554.31,253.02,554.31 C252.65,554.31,252.37,554.31,252.37,554.49 C252.37,554.55,252.39,554.6,252.4,554.66 Z " stroke-width="0" fill="black" />
+<path d="M253.73,560.12 L253.74,560.15 L253.75,560.18 L253.76,560.21 L253.77,560.23 L253.77,560.26 L253.78,560.28 L253.79,560.3 L253.8,560.32 L253.8,560.34 L253.81,560.36 L253.82,560.38 L253.83,560.39 L253.84,560.4 L253.85,560.42 L253.86,560.43 L253.88,560.44 L253.89,560.45 L253.9,560.45 L253.92,560.46 L253.94,560.47 L253.96,560.47 L253.98,560.48 L254,560.48 L254.02,560.49 L254.05,560.49 L254.07,560.49 L254.09,560.49 L254.1,560.49 L254.11,560.49 L254.13,560.49 L254.15,560.49 L254.16,560.49 L254.18,560.5 L254.2,560.5 L254.22,560.5 L254.23,560.5 L254.25,560.5 L254.27,560.5 H255.23 C256.06,560.5,256.59,560.23,256.59,559.54 C256.59,559.15,256.39,558.29,256,557.93 C255.5,557.49,254.9,557.41,254.46,557.41 H253.06 Z " stroke-width="0" fill="black" />
+<path d="M264.36,581.06 L264.51,581.12 L264.65,581.18 L264.79,581.26 L264.94,581.33 L265.08,581.42 L265.21,581.51 L265.35,581.6 L265.48,581.71 L265.62,581.81 L265.74,581.93 L265.87,582.04 L265.99,582.17 L266.11,582.29 L266.23,582.43 L266.34,582.56 L266.45,582.7 L266.55,582.85 L266.65,582.99 L266.74,583.14 L266.83,583.3 L266.91,583.46 L266.98,583.62 L267.05,583.78 L267.12,583.95 L267.18,584.11 L267.23,584.29 L267.27,584.46 L267.31,584.63 L267.33,584.81 L267.35,584.99 L267.37,585.16 L267.37,585.34 C267.37,586.95,266.32,588.02,264.83,588.02 C262.68,588.02,260.49,585.76,260.49,583.44 C260.49,581.78,261.61,580.78,263.04,580.78 C263.29,580.78,263.62,580.82,264.02,580.93 C263.98,580.31,263.98,580.29,263.98,580.16 C263.98,579.84,263.98,579.07,264.8,579.07 C265.99,579.07,266.46,580.89,266.46,581 C266.46,581.07,266.39,581.1,266.36,581.1 C266.28,581.1,266.26,581.05,266.24,580.99 C266,580.28,265.42,580.03,265.07,580.03 C264.61,580.03,264.46,580.3,264.36,581.06 Z " stroke-width="0" fill="black" />
+<path d="M262.48,581.14 L262.41,581.17 L262.34,581.2 L262.27,581.24 L262.21,581.28 L262.15,581.32 L262.09,581.36 L262.03,581.41 L261.98,581.45 L261.93,581.5 L261.88,581.56 L261.83,581.61 L261.79,581.67 L261.74,581.73 L261.7,581.79 L261.67,581.85 L261.63,581.91 L261.6,581.98 L261.57,582.04 L261.54,582.11 L261.51,582.18 L261.49,582.25 L261.47,582.33 L261.45,582.4 L261.43,582.48 L261.41,582.55 L261.4,582.63 L261.39,582.71 L261.38,582.79 L261.37,582.87 L261.37,582.95 L261.36,583.04 L261.36,583.12 C261.36,583.81,261.62,585.22,262.38,586.3 C263.11,587.32,264.04,587.77,264.77,587.77 C265.77,587.77,266.5,587,266.5,585.66 C266.5,584.67,265.99,582.34,264.31,581.4 C264.27,581.75,264.16,582.47,263.44,582.47 C262.91,582.47,262.42,581.98,262.42,581.46 C262.42,581.26,262.48,581.15,262.48,581.14 Z " stroke-width="0" fill="black" />
+<path d="M263.1,581.03 L263.08,581.03 L263.07,581.03 L263.05,581.03 L263.04,581.03 L263.02,581.03 L263,581.03 L262.99,581.04 L262.97,581.04 L262.95,581.04 L262.93,581.04 L262.91,581.05 L262.89,581.05 L262.87,581.06 L262.85,581.07 L262.83,581.07 L262.82,581.08 L262.8,581.09 L262.78,581.11 L262.76,581.12 L262.75,581.14 L262.73,581.15 L262.73,581.16 L262.72,581.17 L262.71,581.18 L262.71,581.19 L262.7,581.2 L262.69,581.21 L262.69,581.22 L262.68,581.23 L262.68,581.25 L262.67,581.26 L262.67,581.27 L262.66,581.29 L262.66,581.3 L262.65,581.32 L262.65,581.33 L262.65,581.35 L262.65,581.36 L262.64,581.38 L262.64,581.4 L262.64,581.42 L262.64,581.44 L262.64,581.46 C262.64,581.85,263.02,582.25,263.44,582.25 C263.86,582.25,264.04,582.02,264.04,581.41 C264.04,581.26,264.04,581.25,263.93,581.21 C263.68,581.1,263.38,581.03,263.1,581.03 Z " stroke-width="0" fill="black" />
+<path d="M261.73,475.12 L261.74,475.14 L261.75,475.16 L261.75,475.18 L261.76,475.2 L261.76,475.22 L261.77,475.24 L261.77,475.25 L261.78,475.27 L261.78,475.29 L261.79,475.3 L261.79,475.32 L261.8,475.33 L261.81,475.34 L261.81,475.36 L261.82,475.37 L261.83,475.38 L261.83,475.39 L261.84,475.4 L261.85,475.41 L261.86,475.42 L261.87,475.43 L261.88,475.43 L261.89,475.44 L261.9,475.45 L261.91,475.45 L261.92,475.46 L261.94,475.47 L261.95,475.47 L261.97,475.47 L261.98,475.48 L262,475.48 L262.02,475.48 C262.11,475.5,262.42,475.5,262.62,475.5 C263.33,475.5,264.44,475.5,264.44,474.51 C264.44,474.17,264.28,473.48,263.89,473.09 C263.63,472.84,263.1,472.52,262.2,472.52 H261.09 Z " stroke-width="0" fill="black" />
+<path d="M263.17,472.39 L263.27,472.41 L263.36,472.43 L263.46,472.46 L263.55,472.49 L263.65,472.52 L263.75,472.56 L263.84,472.6 L263.94,472.64 L264.03,472.68 L264.13,472.73 L264.22,472.78 L264.31,472.83 L264.39,472.88 L264.48,472.93 L264.56,472.99 L264.64,473.05 L264.72,473.12 L264.8,473.18 L264.87,473.25 L264.93,473.32 L265,473.39 L265.06,473.46 L265.11,473.54 L265.16,473.62 L265.21,473.7 L265.25,473.78 L265.28,473.86 L265.31,473.95 L265.33,474.03 L265.35,474.12 L265.36,474.22 L265.36,474.31 C265.36,475.17,264.46,475.8,263.16,475.8 H260.32 C260.12,475.8,260.03,475.8,260.03,475.61 C260.03,475.5,260.12,475.5,260.31,475.5 C260.33,475.5,260.52,475.5,260.69,475.48 C260.87,475.46,260.96,475.45,260.96,475.32 C260.96,475.28,260.95,475.25,260.92,475.13 L259.59,469.78 C259.48,469.39,259.46,469.31,258.68,469.31 C258.5,469.31,258.41,469.31,258.41,469.11 C258.41,469,258.53,469,258.55,469 C258.83,469,259.52,469.03,259.8,469.03 C260.08,469.03,260.79,469,261.07,469 C261.15,469,261.27,469,261.27,469.2 C261.27,469.31,261.18,469.31,260.99,469.31 C260.62,469.31,260.34,469.31,260.34,469.49 C260.34,469.55,260.36,469.6,260.37,469.66 L261.03,472.3 H262.21 C263.12,472.3,263.3,471.74,263.3,471.39 C263.3,471.24,263.22,470.93,263.16,470.7 C263.09,470.43,263,470.05,263,469.86 C263,468.78,264.2,468.78,264.33,468.78 C265.17,468.78,265.52,469.79,265.52,469.93 C265.52,470.05,265.41,470.05,265.4,470.05 C265.31,470.05,265.29,469.98,265.27,469.91 C265.02,469.17,264.59,469,264.37,469 C264.04,469,263.97,469.22,263.97,469.61 C263.97,469.92,264.03,470.43,264.07,470.74 C264.09,470.88,264.11,471.07,264.11,471.21 C264.11,471.98,263.44,472.29,263.17,472.39 Z " stroke-width="0" fill="black" />
+<path d="M312.07,613.02 L312.07,613.03 L312.07,613.03 L312.07,613.03 L312.07,613.04 L312.06,613.04 L312.06,613.05 L312.06,613.05 L312.06,613.05 L312.06,613.06 L312.05,613.06 L312.05,613.07 L312.05,613.07 L312.05,613.08 L312.04,613.09 L312.04,613.1 L312.03,613.11 L312.03,613.12 L312.03,613.12 L312.03,613.13 L312.03,613.13 L312.03,613.14 L312.02,613.14 L312.02,613.15 L312.02,613.15 L312.02,613.15 L312.02,613.16 L312.02,613.16 L312.02,613.16 C312.02,613.18,312.2,613.31,312.31,613.4 L314.05,614.74 C314.99,615.43,315.38,615.47,315.68,615.5 C315.76,615.5,315.86,615.52,315.86,615.7 C315.86,615.73,315.83,615.8,315.75,615.8 C315.53,615.8,315.28,615.77,315.04,615.77 C314.68,615.77,314.29,615.8,313.93,615.8 C313.86,615.8,313.75,615.8,313.75,615.6 C313.75,615.53,313.79,615.5,313.86,615.5 C314.08,615.48,314.17,615.43,314.17,615.28 C314.17,615.1,313.88,614.88,313.81,614.83 L309.93,611.84 L310.73,615.04 C310.82,615.4,310.84,615.5,311.56,615.5 C311.81,615.5,311.9,615.5,311.9,615.7 C311.9,615.78,311.82,615.8,311.76,615.8 C311.48,615.8,310.77,615.77,310.49,615.77 C310.2,615.77,309.49,615.8,309.2,615.8 C309.13,615.8,309,615.8,309,615.61 C309,615.5,309.09,615.5,309.29,615.5 C309.42,615.5,309.6,615.48,309.72,615.48 C309.88,615.46,309.94,615.43,309.94,615.32 C309.94,615.28,309.93,615.25,309.9,615.13 L308.56,609.78 C308.46,609.39,308.45,609.31,307.66,609.31 C307.49,609.31,307.38,609.31,307.38,609.12 C307.38,609,307.5,609,307.53,609 C307.81,609,308.52,609.03,308.79,609.03 C309,609.03,309.22,609.02,309.43,609.02 C309.65,609.02,309.87,609,310.08,609 C310.15,609,310.28,609,310.28,609.2 C310.28,609.31,310.19,609.31,310,609.31 C309.63,609.31,309.35,609.31,309.35,609.49 C309.35,609.56,309.41,609.78,309.44,609.93 C309.58,610.45,309.71,610.97,309.84,611.49 L311.32,612.65 C311.58,612.05,312.23,610.56,312.48,609.97 C312.6,609.7,312.6,609.68,312.6,609.62 C312.6,609.32,312.17,609.31,312.08,609.31 C311.97,609.31,311.86,609.31,311.86,609.11 C311.86,609,311.98,609,312,609 C312.4,609,312.82,609.03,313.21,609.03 C313.44,609.03,313.97,609,314.19,609 C314.24,609,314.37,609,314.37,609.2 C314.37,609.31,314.26,609.31,314.17,609.31 C313.77,609.32,313.64,609.41,313.48,609.76 Z " stroke-width="0" fill="black" />
+<path d="M208.73,615.03 L208.74,615.06 L208.74,615.09 L208.75,615.12 L208.76,615.15 L208.77,615.18 L208.78,615.2 L208.79,615.23 L208.8,615.25 L208.81,615.27 L208.82,615.3 L208.84,615.32 L208.85,615.33 L208.87,615.35 L208.89,615.37 L208.91,615.38 L208.94,615.4 L208.96,615.41 L208.99,615.42 L209.02,615.43 L209.06,615.44 L209.08,615.45 L209.1,615.45 L209.12,615.46 L209.14,615.46 L209.16,615.46 L209.18,615.47 L209.21,615.47 L209.23,615.47 L209.26,615.48 L209.29,615.48 L209.31,615.48 L209.34,615.48 L209.37,615.49 L209.4,615.49 L209.44,615.49 L209.47,615.49 L209.5,615.49 L209.54,615.49 L209.58,615.49 L209.62,615.49 L209.66,615.5 L209.7,615.5 L209.74,615.5 L209.78,615.5 C210.08,615.5,210.16,615.5,210.16,615.68 C210.16,615.8,210.05,615.8,210,615.8 C209.67,615.8,208.85,615.77,208.53,615.77 C208.23,615.77,207.5,615.8,207.2,615.8 C207.13,615.8,207.01,615.8,207.01,615.6 C207.01,615.5,207.1,615.5,207.29,615.5 C207.31,615.5,207.5,615.5,207.67,615.48 C207.85,615.46,207.94,615.45,207.94,615.32 C207.94,615.28,207.93,615.25,207.9,615.13 L206.56,609.78 C206.46,609.39,206.45,609.31,205.66,609.31 C205.49,609.31,205.39,609.31,205.39,609.11 C205.39,609,205.48,609,205.66,609 H210.27 C210.51,609,210.52,609,210.58,609.17 L211.37,611.32 C211.41,611.43,211.41,611.45,211.41,611.46 C211.41,611.5,211.38,611.57,211.29,611.57 C211.2,611.57,211.19,611.52,211.12,611.36 C210.78,610.45,210.34,609.31,208.62,609.31 H207.68 C207.54,609.31,207.52,609.31,207.46,609.32 C207.36,609.33,207.33,609.34,207.33,609.42 C207.33,609.45,207.33,609.47,207.38,609.65 Z " stroke-width="0" fill="black" />
+</g>
+</svg>
Add a comment to this file

IMO/2007/imo2k7p4_1.euk

Binary file added.

IMO/2007/imo2k7p4_blog.euk

+
+A B C triangle
+
+l = bisector(B, C, A)
+c = circle(A, B, C)
+C R intersection(l, c)
+P = intersection(l, perpendicular(segment(B, C), midpoint(segment(B, C)) ))
+Q = intersection(l, perpendicular(segment(A, C), midpoint(segment(A, C)) ))
+K = midpoint(segment(B, C))
+L = midpoint(segment(A, C))
+
+frame(-4, -4, 8, 6)
+
+draw(A, B, C)
+draw(l)
+draw(c)
+draw(segment(K, P), dashed)
+draw(segment(L, Q), dashed)
+draw(segment(K, R), dashed)
+draw(segment(L, R), dashed)
+
+draw("$A$", A, -130:)
+draw("$B$", B, -50:)
+draw("$C$", C, 130:)
+draw("$P$", P, 0.1, -160:)
+draw("$Q$", Q, 0.1, 50:)
+draw("$R$", R, -130:)
+draw("$K$", K, 50:)
+draw("$L$", L, 130:)
+
+color(gray)
+mark(A, C, R)
+mark(R, C, B)
+
Add a comment to this file

IMO/2007/imo2k7p4_blog.png

Added
New image

IMO/2007/imo2k7p4_blog.ps

+%!PS-Adobe-3.0
+%%Title: flattened PostScript generated from file: imo2k7p4_blog.pdf
+%%Creator: pstoedit
+%%BoundingBox: (atend)
+%%Pages: (atend)
+%%EndComments
+%%BeginProlog
+/setPageSize { pop pop } def
+/ntranslate { neg exch neg exch translate } def
+/setshowparams { pop pop pop} def
+/awidthshowhex { dup length 0 gt { dup /ASCIIHexDecode filter exch length 2 div cvi string readstring pop } if awidthshow } def
+/awidthshowhexwithglyphs { true { pop awidthshowhex } { { glyphshow } forall pop } ifelse } def
+/backendconstraints { pop pop } def
+/pstoedit.newfont { 80 string cvs  findfont  dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall  /Encoding ISOLatin1Encoding def   dup 80 string cvs /FontName exch def  currentdict end  definefont pop } def
+/imagestring 1 string def
+%%EndProlog
+%%BeginSetup
+% textastext doflatten backendconstraints   
+1 0 backendconstraints
+%%EndSetup
+%%Page: 1 1
+save %{
+save %{
+gsave %{
+ gsave %{
+ gsave %{
+  
+ 
+% 1                   pathnumber
+% clippath
+ 612 792 setPageSize
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.1 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 69.0117 436.559 moveto
+ 69.0117 436.559 lineto
+ 69.0117 436.559 lineto
+ 69.0117 436.559 lineto
+ closepath
+clip
+gsave %{
+  0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 340.2 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+%Warning: Level 2 version of image and imagemask not supported for this backend (due to lack of support for bitmaps on intermediate files)
+grestore %}
+ grestore %}
+ gsave %{
+  
+ 
+% 2                   pathnumber
+% clippath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.1 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 72.0 436.559 moveto
+ 72.0 720.023 lineto
+ 412.156 720.023 lineto
+ 412.156 436.559 lineto
+ closepath
+clip
+ 
+ 
+% 3                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 217.289 602.035 moveto
+ 185.398 549.961 lineto
+ 355.48 549.961 lineto
+ 249.18 654.109 lineto
+ closepath
+stroke
+ 
+ 
+% 4                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 276.086 436.574 moveto
+ 241.023 720.039 lineto
+stroke
+ 
+ 
+% 5                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 357.441 569.488 moveto
+ 357.441 617.539 318.488 656.492 270.438 656.492 curveto
+ 222.391 656.492 183.438 617.539 183.438 569.488 curveto
+ 183.438 521.438 222.391 482.484 270.438 482.484 curveto
+ 318.488 482.484 357.441 521.438 357.441 569.488 curveto
+ closepath
+stroke
+ 
+ 
+% 6                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 4.85729 2.91437 0.0 0.0 ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 302.328 602.035 moveto
+ 260.855 559.707 lineto
+stroke
+ 
+ 
+% 7                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 5.4035 3.2421 0.0 0.0 ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 217.289 602.035 moveto
+ 258.766 576.641 lineto
+stroke
+ 
+ 
+% 8                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 4.9589 2.97534 0.0 0.0 ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 302.328 602.035 moveto
+ 270.438 482.234 lineto
+stroke
+ 
+ 
+% 9                   pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 4.92712 2.95627 0.0 0.0 ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 217.289 602.035 moveto
+ 270.438 482.234 lineto
+stroke
+gsave %{
+ (WVMNER+CMMI10) cvn /WVMNER+CMMI10 pstoedit.newfont
+ 
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 10                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 174.785 537.145 moveto
+ 174.387 536.477 173.996 536.34 173.559 536.309 curveto
+ 173.438 536.301 173.348 536.301 173.348 536.109 curveto
+ 173.348 536.051 173.398 536.0 173.477 536.0 curveto
+ 173.746 536.0 174.055 536.031 174.336 536.031 curveto
+ 174.664 536.031 175.012 536.0 175.332 536.0 curveto
+ 175.391 536.0 175.52 536.0 175.52 536.188 curveto
+ 175.52 536.301 175.43 536.309 175.359 536.309 curveto
+ 175.133 536.328 174.895 536.41 174.895 536.656 curveto
+ 174.895 536.777 174.953 536.887 175.031 537.027 curveto
+ 175.102 537.145 175.113 537.145 175.789 538.301 curveto
+ 178.289 538.301 lineto
+ 178.309 538.094 178.449 536.738 178.449 536.637 curveto
+ 178.449 536.34 177.93 536.309 177.73 536.309 curveto
+ 177.594 536.309 177.492 536.309 177.492 536.109 curveto
+ 177.492 536.0 177.613 536.0 177.633 536.0 curveto
+ 178.043 536.0 178.469 536.031 178.879 536.031 curveto
+ 179.129 536.031 179.754 536.0 180.004 536.0 curveto
+ 180.062 536.0 180.184 536.0 180.184 536.199 curveto
+ 180.184 536.309 180.082 536.309 179.953 536.309 curveto
+ 179.336 536.309 179.336 536.379 179.305 536.668 curveto
+ 178.699 542.895 lineto
+ 178.68 543.094 178.68 543.133 178.508 543.133 curveto
+ 178.352 543.133 178.309 543.062 178.25 542.965 curveto
+ closepath
+ 175.98 538.609 moveto
+ 177.941 541.898 lineto
+ 178.262 538.609 lineto
+ closepath
+ 180.309 536.273 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 11                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 361.594 536.777 moveto
+ 361.496 536.387 361.473 536.309 360.688 536.309 curveto
+ 360.52 536.309 360.418 536.309 360.418 536.109 curveto
+ 360.418 536.0 360.508 536.0 360.688 536.0 curveto
+ 364.242 536.0 lineto
+ 365.816 536.0 366.992 537.176 366.992 538.152 curveto
+ 366.992 538.871 366.414 539.445 365.449 539.559 curveto
+ 366.484 539.746 367.531 540.484 367.531 541.43 curveto
+ 367.531 542.168 366.875 542.805 365.68 542.805 curveto
+ 362.332 542.805 lineto
+ 362.141 542.805 362.043 542.805 362.043 542.605 curveto
+ 362.043 542.496 362.133 542.496 362.32 542.496 curveto
+ 362.34 542.496 362.531 542.496 362.699 542.477 curveto
+ 362.879 542.457 362.969 542.445 362.969 542.316 curveto
+ 362.969 542.277 362.957 542.246 362.93 542.129 curveto
+ closepath
+ 363.098 539.645 moveto
+ 363.715 542.117 lineto
+ 363.805 542.465 363.824 542.496 364.254 542.496 curveto
+ 365.539 542.496 lineto
+ 366.414 542.496 366.625 541.906 366.625 541.469 curveto
+ 366.625 540.594 365.77 539.645 364.555 539.645 curveto
+ closepath
+ 362.648 536.309 moveto
+ 362.512 536.309 362.492 536.309 362.43 536.32 curveto
+ 362.332 536.328 362.301 536.34 362.301 536.418 curveto
+ 362.301 536.449 362.301 536.469 362.352 536.648 curveto
+ 363.039 539.426 lineto
+ 364.922 539.426 lineto
+ 365.879 539.426 366.066 538.691 366.066 538.262 curveto
+ 366.066 537.273 365.18 536.309 364.004 536.309 curveto
+ closepath
+ 368.023 536.254 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 12                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 243.57 667.926 moveto
+ 243.57 667.953 243.551 668.023 243.461 668.023 curveto
+ 243.434 668.023 243.422 668.016 243.312 667.902 curveto
+ 242.613 667.137 lineto
+ 242.527 667.277 242.066 668.023 240.961 668.023 curveto
+ 238.738 668.023 236.5 665.82 236.5 663.512 curveto
+ 236.5 661.867 237.672 660.781 239.199 660.781 curveto
+ 240.066 660.781 240.82 661.18 241.352 661.637 curveto
+ 242.277 662.453 242.445 663.359 242.445 663.391 curveto
+ 242.445 663.492 242.348 663.492 242.328 663.492 curveto
+ 242.266 663.492 242.215 663.473 242.195 663.391 curveto
+ 242.105 663.102 241.879 662.395 241.191 661.816 curveto
+ 240.504 661.258 239.875 661.09 239.355 661.09 curveto
+ 238.461 661.09 237.406 661.609 237.406 663.16 curveto
+ 237.406 663.73 237.613 665.344 238.609 666.508 curveto
+ 239.219 667.215 240.156 667.715 241.043 667.715 curveto
+ 242.059 667.715 242.645 666.949 242.645 665.793 curveto
+ 242.645 665.395 242.613 665.383 242.613 665.285 curveto
+ 242.613 665.184 242.727 665.184 242.766 665.184 curveto
+ 242.895 665.184 242.895 665.203 242.945 665.383 curveto
+ closepath
+ 243.277 660.859 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 13                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 253.02 557.148 moveto
+ 254.711 557.148 lineto
+ 256.129 557.148 257.512 558.184 257.512 559.301 curveto
+ 257.512 560.066 256.855 560.805 255.551 560.805 curveto
+ 252.32 560.805 lineto
+ 252.133 560.805 252.023 560.805 252.023 560.613 curveto
+ 252.023 560.496 252.113 560.496 252.312 560.496 curveto
+ 252.441 560.496 252.621 560.484 252.738 560.477 curveto
+ 252.898 560.457 252.957 560.426 252.957 560.316 curveto
+ 252.957 560.277 252.949 560.246 252.918 560.129 curveto
+ 251.586 554.777 lineto
+ 251.484 554.387 251.465 554.309 250.676 554.309 curveto
+ 250.508 554.309 250.398 554.309 250.398 554.121 curveto
+ 250.398 554.0 250.52 554.0 250.547 554.0 curveto
+ 250.828 554.0 251.535 554.031 251.812 554.031 curveto
+ 252.023 554.031 252.242 554.02 252.449 554.02 curveto
+ 252.672 554.02 252.891 554.0 253.098 554.0 curveto
+ 253.168 554.0 253.297 554.0 253.297 554.199 curveto
+ 253.297 554.309 253.207 554.309 253.02 554.309 curveto
+ 252.648 554.309 252.371 554.309 252.371 554.488 curveto
+ 252.371 554.547 252.391 554.598 252.402 554.656 curveto
+ closepath
+ 253.734 560.117 moveto
+ 253.824 560.465 253.844 560.496 254.273 560.496 curveto
+ 255.23 560.496 lineto
+ 256.059 560.496 256.586 560.227 256.586 559.539 curveto
+ 256.586 559.152 256.387 558.293 255.996 557.934 curveto
+ 255.5 557.488 254.902 557.406 254.465 557.406 curveto
+ 253.059 557.406 lineto
+ closepath
+ 256.711 554.051 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 14                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 264.363 581.059 moveto
+ 265.906 581.648 267.371 583.422 267.371 585.344 curveto
+ 267.371 586.949 266.316 588.023 264.832 588.023 curveto
+ 262.68 588.023 260.488 585.762 260.488 583.441 curveto
+ 260.488 581.785 261.605 580.781 263.039 580.781 curveto
+ 263.289 580.781 263.625 580.82 264.016 580.93 curveto
+ 263.977 580.312 263.977 580.293 263.977 580.164 curveto
+ 263.977 579.844 263.977 579.066 264.801 579.066 curveto
+ 265.988 579.066 266.465 580.891 266.465 581.0 curveto
+ 266.465 581.07 266.395 581.102 266.355 581.102 curveto
+ 266.277 581.102 266.258 581.051 266.238 580.988 curveto
+ 265.996 580.281 265.418 580.035 265.07 580.035 curveto
+ 264.613 580.035 264.465 580.301 264.363 581.059 curveto
+ closepath
+ 262.48 581.141 moveto
+ 261.703 581.449 261.363 582.227 261.363 583.121 curveto
+ 261.363 583.809 261.625 585.223 262.383 586.301 curveto
+ 263.109 587.316 264.043 587.773 264.773 587.773 curveto
+ 265.77 587.773 266.496 586.996 266.496 585.664 curveto
+ 266.496 584.668 265.988 582.336 264.312 581.398 curveto
+ 264.266 581.746 264.164 582.473 263.438 582.473 curveto
+ 262.91 582.473 262.422 581.977 262.422 581.457 curveto
+ 262.422 581.258 262.48 581.148 262.48 581.141 curveto
+ closepath
+ 263.098 581.031 moveto
+ 262.957 581.031 262.641 581.031 262.641 581.457 curveto
+ 262.641 581.855 263.02 582.254 263.438 582.254 curveto
+ 263.855 582.254 264.043 582.016 264.043 581.41 curveto
+ 264.043 581.258 264.035 581.25 263.934 581.211 curveto
+ 263.676 581.102 263.379 581.031 263.098 581.031 curveto
+ closepath
+ 268.0 581.023 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 15                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 261.734 475.117 moveto
+ 261.797 475.355 261.824 475.457 262.016 475.484 curveto
+ 262.105 475.496 262.422 475.496 262.621 475.496 curveto
+ 263.328 475.496 264.438 475.496 264.438 474.508 curveto
+ 264.438 474.172 264.277 473.484 263.887 473.094 curveto
+ 263.629 472.836 263.102 472.516 262.203 472.516 curveto
+ 261.09 472.516 lineto
+ closepath
+ 263.172 472.387 moveto
+ 264.176 472.605 265.363 473.305 265.363 474.309 curveto
+ 265.363 475.168 264.465 475.805 263.16 475.805 curveto
+ 260.32 475.805 lineto
+ 260.121 475.805 260.031 475.805 260.031 475.605 curveto
+ 260.031 475.496 260.121 475.496 260.312 475.496 curveto
+ 260.332 475.496 260.52 475.496 260.691 475.477 curveto
+ 260.871 475.457 260.957 475.445 260.957 475.316 curveto
+ 260.957 475.277 260.949 475.246 260.918 475.129 curveto
+ 259.586 469.777 lineto
+ 259.484 469.387 259.465 469.309 258.676 469.309 curveto
+ 258.5 469.309 258.41 469.309 258.41 469.109 curveto
+ 258.41 469.0 258.527 469.0 258.547 469.0 curveto
+ 258.828 469.0 259.523 469.031 259.805 469.031 curveto
+ 260.082 469.031 260.789 469.0 261.07 469.0 curveto
+ 261.148 469.0 261.27 469.0 261.27 469.199 curveto
+ 261.27 469.309 261.18 469.309 260.988 469.309 curveto
+ 260.621 469.309 260.34 469.309 260.34 469.488 curveto
+ 260.34 469.547 260.359 469.598 260.371 469.656 curveto
+ 261.027 472.297 lineto
+ 262.215 472.297 lineto
+ 263.121 472.297 263.301 471.738 263.301 471.391 curveto
+ 263.301 471.242 263.219 470.934 263.16 470.703 curveto
+ 263.09 470.426 263.0 470.055 263.0 469.855 curveto
+ 263.0 468.781 264.195 468.781 264.328 468.781 curveto
+ 265.172 468.781 265.523 469.785 265.523 469.926 curveto
+ 265.523 470.047 265.414 470.047 265.402 470.047 curveto
+ 265.312 470.047 265.293 469.977 265.273 469.906 curveto
+ 265.023 469.168 264.594 469.0 264.367 469.0 curveto
+ 264.039 469.0 263.969 469.219 263.969 469.609 curveto
+ 263.969 469.918 264.027 470.426 264.066 470.742 curveto
+ 264.086 470.883 264.105 471.07 264.105 471.211 curveto
+ 264.105 471.98 263.441 472.289 263.172 472.387 curveto
+ closepath
+ 265.281 468.59 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 16                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 312.07 613.023 moveto
+ 312.062 613.055 312.02 613.133 312.02 613.164 curveto
+ 312.02 613.176 312.199 613.312 312.309 613.395 curveto
+ 314.055 614.738 lineto
+ 314.988 615.426 315.379 615.465 315.676 615.496 curveto
+ 315.758 615.504 315.855 615.516 315.855 615.695 curveto
+ 315.855 615.734 315.828 615.805 315.746 615.805 curveto
+ 315.527 615.805 315.277 615.773 315.039 615.773 curveto
+ 314.68 615.773 314.293 615.805 313.934 615.805 curveto
+ 313.863 615.805 313.746 615.805 313.746 615.605 curveto
+ 313.746 615.535 313.793 615.504 313.863 615.496 curveto
+ 314.082 615.477 314.172 615.426 314.172 615.285 curveto
+ 314.172 615.105 313.875 614.879 313.812 614.828 curveto
+ 309.93 611.84 lineto
+ 310.727 615.039 lineto
+ 310.816 615.395 310.836 615.496 311.562 615.496 curveto
+ 311.812 615.496 311.902 615.496 311.902 615.695 curveto
+ 311.902 615.785 311.82 615.805 311.762 615.805 curveto
+ 311.484 615.805 310.766 615.773 310.488 615.773 curveto
+ 310.199 615.773 309.492 615.805 309.203 615.805 curveto
+ 309.133 615.805 309.004 615.805 309.004 615.613 curveto
+ 309.004 615.496 309.094 615.496 309.293 615.496 curveto
+ 309.422 615.496 309.602 615.484 309.719 615.477 curveto
+ 309.879 615.457 309.938 615.426 309.938 615.316 curveto
+ 309.938 615.277 309.93 615.246 309.898 615.129 curveto
+ 308.562 609.777 lineto
+ 308.465 609.387 308.445 609.309 307.656 609.309 curveto
+ 307.488 609.309 307.379 609.309 307.379 609.121 curveto
+ 307.379 609.0 307.5 609.0 307.527 609.0 curveto
+ 307.809 609.0 308.516 609.031 308.793 609.031 curveto
+ 309.004 609.031 309.223 609.02 309.43 609.02 curveto
+ 309.648 609.02 309.871 609.0 310.078 609.0 curveto
+ 310.148 609.0 310.277 609.0 310.277 609.199 curveto
+ 310.277 609.309 310.188 609.309 310.0 609.309 curveto
+ 309.629 609.309 309.352 609.309 309.352 609.488 curveto
+ 309.352 609.559 309.41 609.777 309.441 609.926 curveto
+ 309.582 610.445 309.711 610.973 309.84 611.492 curveto
+ 311.324 612.645 lineto
+ 311.582 612.047 312.23 610.562 312.48 609.965 curveto
+ 312.598 609.699 312.598 609.676 312.598 609.617 curveto
+ 312.598 609.32 312.172 609.309 312.082 609.309 curveto
+ 311.973 609.309 311.863 609.309 311.863 609.109 curveto
+ 311.863 609.0 311.98 609.0 312.0 609.0 curveto
+ 312.398 609.0 312.816 609.031 313.215 609.031 curveto
+ 313.438 609.031 313.973 609.0 314.191 609.0 curveto
+ 314.242 609.0 314.371 609.0 314.371 609.199 curveto
+ 314.371 609.309 314.262 609.309 314.172 609.309 curveto
+ 313.766 609.32 313.637 609.41 313.484 609.758 curveto
+ closepath
+ 315.785 608.828 moveto
+eofill
+gsave %{
+ grestore %}
+  
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+ 
+ 
+% 17                  pathnumber
+% eofilledpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ 49.2712 29.5627 0.0 0.0 ] 0.0 setdash
+ 4.98132 setlinewidth
+ 0.0 0.0 0.0 1.0 setcmykcolor
+newpath
+ 208.727 615.027 moveto
+ 208.816 615.387 208.844 615.496 209.781 615.496 curveto
+ 210.082 615.496 210.16 615.496 210.16 615.684 curveto
+ 210.16 615.805 210.051 615.805 210.0 615.805 curveto
+ 209.672 615.805 208.855 615.773 208.527 615.773 curveto
+ 208.227 615.773 207.5 615.805 207.203 615.805 curveto
+ 207.133 615.805 207.012 615.805 207.012 615.605 curveto
+ 207.012 615.496 207.102 615.496 207.293 615.496 curveto
+ 207.312 615.496 207.5 615.496 207.672 615.477 curveto
+ 207.848 615.457 207.938 615.445 207.938 615.316 curveto
+ 207.938 615.277 207.93 615.246 207.898 615.129 curveto
+ 206.562 609.777 lineto
+ 206.465 609.387 206.445 609.309 205.656 609.309 curveto
+ 205.488 609.309 205.387 609.309 205.387 609.109 curveto
+ 205.387 609.0 205.477 609.0 205.656 609.0 curveto
+ 210.27 609.0 lineto
+ 210.508 609.0 210.52 609.0 210.578 609.168 curveto
+ 211.367 611.32 lineto
+ 211.406 611.43 211.406 611.449 211.406 611.461 curveto
+ 211.406 611.5 211.375 611.57 211.285 611.57 curveto
+ 211.195 611.57 211.188 611.52 211.117 611.359 curveto
+ 210.777 610.445 210.34 609.309 208.617 609.309 curveto
+ 207.68 609.309 lineto
+ 207.539 609.309 207.52 609.309 207.461 609.32 curveto
+ 207.359 609.328 207.332 609.34 207.332 609.418 curveto
+ 207.332 609.449 207.332 609.469 207.383 609.648 curveto
+ closepath
+ 212.211 608.738 moveto
+eofill
+gsave %{
+ grestore %}
+ grestore %}
+  
+ 
+% 18                  pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 0.5 setcmykcolor
+newpath
+ 241.777 642.023 moveto
+ 244.004 640.66 246.566 639.938 249.18 639.938 curveto
+ 249.762 639.938 250.344 639.973 250.922 640.043 curveto
+stroke
+ 
+ 
+% 19                  pathnumber
+% strokedpath
+ 0 setlinecap
+ 10.0 setmiterlimit
+ 0 setlinejoin
+ [ ] 0.0 setdash
+ 0.498132 setlinewidth
+ 0.0 0.0 0.0 0.5 setcmykcolor
+newpath
+ 250.922 640.043 moveto
+ 254.102 640.438 257.059 641.898 259.305 644.191 curveto
+stroke
+grestore %}
+ grestore %}
+ grestore %}
+ showpage
+%%BoundingBox: 69 436 412 720 
+%%Page: 1 1
+restore %}
+restore %}
+restore %}
+restore %}
+showpage
+%%BoundingBox: 999999 999999 0 0 
+%%Page: 2 2
+% normal end reached by pstoedit.pro
+%%Trailer
+%%Pages: 2
+%%EOF

IMO/2007/imo2k7p4_iso.euk

+A B C isosceles
+b = bisector(A, C, B)
+c = circle(A, B, C)
+K = midpoint(segment(B, C))
+L = midpoint(segment(A, C))
+O = center(c)
+% P = intersection(b, line(K, O))
+% Q = intersection(b, line(L, O))
+C R intersection(b, c)
+
+frame(-4, -4, 8, 6)
+
+draw(A, B, C)
+draw(b)
+draw(segment(O, K))
+draw(segment(O, L))
+draw(segment(R, L))
+draw(segment(R, K))
+draw(c)
+% draw(segment(O, Q))
+% draw(segment(O, P))
+
+draw("$A$", A, -130:)
+draw("$B$", B, -50:)
+draw("$C$", C, 130:)
+draw("$O$", O, -50:)
+% draw("$P$", P, 0.1, -160:)
+% draw("$Q$", Q, 0.1, 50:)
+draw("$R$", R, -130:)
+draw("$K$", K, 50:)
+draw("$L$", L, 130:)
+
Add a comment to this file

IMO/2007/imo2k7p4_iso.png

Added
New image
Added
New image
+<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
+<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
+<svg version="1.1" baseProfile="full" id="body" width="8in" height="8in" viewBox="0 0 1 1" preserveAspectRatio="none" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:ev="http://www.w3.org/2001/xml-events">
+<title>SVG drawing</title>
+<desc>This was produced by version 4.2 of GNU libplot, a free library for exporting 2-D vector graphics.</desc>
+<rect id="background" x="0" y="0" width="1" height="1" stroke="none" fill="white"/>
+<g id="content" transform="translate(-0.03125,1.1875) scale(1,-1) scale(0.0017361) " xml:space="preserve" stroke="black" stroke-linecap="butt" stroke-linejoin="miter" stroke-miterlimit="10.433" stroke-dasharray="none" stroke-dashoffset="0" stroke-opacity="1" fill="none" fill-rule="even-odd" fill-opacity="1" font-style="normal" font-variant="normal" font-weight="normal" font-stretch="normal" font-size-adjust="none" letter-spacing="normal" word-spacing="normal" text-anchor="start">
+<polygon points="227.92,584.4 185.4,549.96 355.48,549.96 270.44,618.82 " stroke-width="0.49813" />
+<line x1="270.44" y1="436.57" x2="270.44" y2="720.04" stroke-width="0.49813" />
+<line x1="270.44" y1="531.88" x2="312.96" y2="584.4" stroke-width="0.49813" />
+<line x1="270.44" y1="531.88" x2="227.92" y2="584.4" stroke-width="0.49813" />
+<line x1="270.44" y1="444.95" x2="227.92" y2="584.4" stroke-width="0.49813" />
+<line x1="270.44" y1="444.95" x2="312.96" y2="584.4" stroke-width="0.49813" />
+<path d="M357.13,531.88 L357.02,536.34 L356.68,540.75 L356.13,545.09 L355.37,549.35 L354.4,553.55 L353.23,557.66 L351.87,561.69 L350.32,565.63 L348.58,569.47 L346.67,573.21 L344.58,576.84 L342.32,580.35 L339.91,583.75 L337.33,587.03 L334.61,590.17 L331.74,593.18 L328.73,596.05 L325.58,598.78 L322.31,601.35 L318.91,603.77 L315.39,606.02 L311.76,608.11 L308.02,610.03 L304.18,611.76 L300.25,613.31 L296.22,614.68 L292.1,615.84 L287.91,616.81 L283.64,617.58 L279.3,618.13 L274.9,618.46 L270.44,618.57 C222.56,618.57,183.75,579.76,183.75,531.88 C183.75,484.01,222.56,445.2,270.44,445.2 C318.32,445.2,357.13,484.01,357.13,531.88 Z " stroke-width="0.49813" />
+<path d="M174.79,537.15 L174.75,537.08 L174.71,537.03 L174.67,536.97 L174.64,536.92 L174.6,536.87 L174.56,536.82 L174.52,536.78 L174.49,536.74 L174.45,536.7 L174.41,536.66 L174.37,536.63 L174.34,536.6 L174.3,536.57 L174.26,536.54 L174.22,536.51 L174.19,536.49 L174.15,536.47 L174.11,536.45 L174.07,536.43 L174.03,536.41 L174,536.4 L173.96,536.38 L173.92,536.37 L173.88,536.36 L173.84,536.35 L173.8,536.34 L173.72,536.33 L173.64,536.32 L173.56,536.31 C173.44,536.3,173.35,536.3,173.35,536.11 C173.35,536.05,173.4,536,173.48,536 C173.75,536,174.05,536.03,174.34,536.03 C174.66,536.03,175.01,536,175.33,536 C175.39,536,175.52,536,175.52,536.19 C175.52,536.3,175.43,536.31,175.36,536.31 C175.13,536.33,174.9,536.41,174.9,536.66 C174.9,536.78,174.95,536.89,175.03,537.03 C175.1,537.15,175.11,537.15,175.79,538.3 H178.29 C178.31,538.09,178.45,536.74,178.45,536.64 C178.45,536.34,177.93,536.31,177.73,536.31 C177.59,536.31,177.49,536.31,177.49,536.11 C177.49,536,177.61,536,177.63,536 C178.04,536,178.47,536.03,178.88,536.03 C179.13,536.03,179.75,536,180,536 C180.06,536,180.18,536,180.18,536.2 C180.18,536.31,180.08,536.31,179.95,536.31 C179.34,536.31,179.34,536.38,179.3,536.67 L178.7,542.9 C178.68,543.09,178.68,543.13,178.51,543.13 C178.35,543.13,178.31,543.06,178.25,542.97 Z " stroke-width="0" fill="black" />
+<polygon points="175.98,538.61 177.94,541.9 178.26,538.61 " stroke-width="0" fill="black" />
+<path d="M361.59,536.78 L361.59,536.74 L361.58,536.71 L361.57,536.68 L361.56,536.64 L361.55,536.62 L361.54,536.59 L361.53,536.56 L361.52,536.54 L361.51,536.52 L361.5,536.5 L361.49,536.48 L361.47,536.46 L361.46,536.44 L361.44,536.42 L361.42,536.41 L361.4,536.4 L361.38,536.38 L361.35,536.37 L361.32,536.36 L361.29,536.35 L361.26,536.35 L361.24,536.34 L361.23,536.34 L361.21,536.34 L361.19,536.33 L361.17,536.33 L361.15,536.33 L361.13,536.32 L361.1,536.32 L361.08,536.32 L361.05,536.32 L361.03,536.32 L361,536.32 L360.98,536.31 L360.95,536.31 L360.92,536.31 L360.89,536.31 L360.86,536.31 L360.83,536.31 L360.79,536.31 L360.76,536.31 L360.72,536.31 L360.69,536.31 C360.52,536.31,360.42,536.31,360.42,536.11 C360.42,536,360.51,536,360.69,536 H364.24 C365.82,536,366.99,537.18,366.99,538.15 C366.99,538.87,366.41,539.45,365.45,539.56 C366.48,539.75,367.53,540.48,367.53,541.43 C367.53,542.17,366.88,542.8,365.68,542.8 H362.33 C362.14,542.8,362.04,542.8,362.04,542.6 C362.04,542.5,362.13,542.5,362.32,542.5 C362.34,542.5,362.53,542.5,362.7,542.48 C362.88,542.46,362.97,542.45,362.97,542.32 C362.97,542.28,362.96,542.25,362.93,542.13 Z " stroke-width="0" fill="black" />
+<path d="M363.1,539.65 L363.71,542.12 C363.8,542.47,363.82,542.5,364.25,542.5 H365.54 C366.41,542.5,366.62,541.91,366.62,541.47 C366.62,540.59,365.77,539.65,364.55,539.65 Z " stroke-width="0" fill="black" />
+<path d="M362.65,536.31 L362.64,536.31 L362.64,536.31 L362.62,536.31 L362.61,536.31 L362.6,536.31 L362.59,536.31 L362.58,536.31 L362.57,536.31 L362.57,536.31 L362.56,536.31 L362.55,536.31 L362.54,536.31 L362.54,536.31 L362.53,536.31 L362.52,536.31 L362.52,536.31 L362.51,536.31 L362.51,536.31 L362.5,536.31 L362.49,536.31 L362.48,536.31 L362.47,536.31 L362.46,536.31 L362.45,536.32 L362.45,536.32 L362.44,536.32 L362.44,536.32 L362.43,536.32 C362.33,536.33,362.3,536.34,362.3,536.42 C362.3,536.45,362.3,536.47,362.35,536.65 L363.04,539.43 H364.92 C365.88,539.43,366.07,538.69,366.07,538.26 C366.07,537.27,365.18,536.31,364,536.31 Z " stroke-width="0" fill="black" />
+<path d="M265.57,632.93 L265.57,632.93 L265.57,632.93 L265.57,632.93 L265.57,632.94 L265.57,632.94 L265.57,632.94 L265.57,632.95 L265.57,632.95 L265.56,632.96 L265.56,632.96 L265.56,632.96 L265.56,632.97 L265.56,632.97 L265.55,632.98 L265.55,632.98 L265.55,632.98 L265.55,632.99 L265.54,632.99 L265.54,633 L265.54,633 L265.53,633 L265.53,633.01 L265.52,633.01 L265.52,633.01 L265.51,633.01 L265.51,633.01 L265.51,633.02 L265.5,633.02 L265.5,633.02 L265.5,633.02 L265.49,633.02 L265.49,633.02 L265.49,633.02 L265.48,633.02 L265.48,633.02 L265.48,633.02 L265.47,633.02 L265.47,633.02 L265.47,633.02 L265.46,633.02 C265.43,633.02,265.42,633.02,265.31,632.9 L264.61,632.14 C264.53,632.28,264.07,633.02,262.96,633.02 C260.74,633.02,258.5,630.82,258.5,628.51 C258.5,626.87,259.67,625.78,261.2,625.78 C262.07,625.78,262.82,626.18,263.35,626.64 C264.28,627.45,264.45,628.36,264.45,628.39 C264.45,628.49,264.35,628.49,264.33,628.49 C264.27,628.49,264.21,628.47,264.2,628.39 C264.11,628.1,263.88,627.4,263.19,626.82 C262.5,626.26,261.88,626.09,261.36,626.09 C260.46,626.09,259.41,626.61,259.41,628.16 C259.41,628.73,259.61,630.34,260.61,631.51 C261.22,632.22,262.16,632.72,263.04,632.72 C264.06,632.72,264.64,631.95,264.64,630.79 C264.64,630.4,264.61,630.38,264.61,630.28 C264.61,630.18,264.73,630.18,264.77,630.18 C264.89,630.18,264.89,630.2,264.95,630.38 Z " stroke-width="0" fill="black" />
+<path d="M283.37,522.34 L283.37,522.49 L283.36,522.64 L283.34,522.78 L283.32,522.92 L283.3,523.06 L283.26,523.19 L283.23,523.32 L283.18,523.44 L283.13,523.56 L283.08,523.68 L283.02,523.79 L282.96,523.9 L282.89,524 L282.82,524.1 L282.74,524.2 L282.66,524.29 L282.57,524.37 L282.48,524.45 L282.39,524.53 L282.29,524.6 L282.18,524.66 L282.08,524.72 L281.97,524.78 L281.85,524.83 L281.74,524.87 L281.62,524.91 L281.49,524.95 L281.37,524.97 L281.24,525 L281.11,525.01 L280.97,525.02 L280.83,525.02 C278.68,525.02,276.49,522.76,276.49,520.44 C276.49,518.78,277.61,517.78,279.04,517.78 C281.15,517.78,283.37,519.96,283.37,522.34 Z " stroke-width="0" fill="black" />
+<path d="M279.1,518.04 L279.01,518.04 L278.92,518.05 L278.83,518.06 L278.74,518.08 L278.66,518.1 L278.58,518.12 L278.5,518.15 L278.42,518.19 L278.34,518.22 L278.27,518.27 L278.2,518.31 L278.13,518.36 L278.07,518.42 L278,518.48 L277.94,518.54 L277.89,518.61 L277.83,518.68 L277.78,518.75 L277.73,518.83 L277.69,518.91 L277.65,519 L277.61,519.09 L277.57,519.18 L277.54,519.28 L277.51,519.37 L277.49,519.48 L277.46,519.58 L277.45,519.69 L277.43,519.8 L277.42,519.92 L277.42,520.04 L277.41,520.16 C277.41,520.6,277.55,522.05,278.32,523.22 C279.01,524.26,279.98,524.77,280.77,524.77 C281.59,524.77,282.48,524.22,282.48,522.73 C282.48,522.02,282.21,520.46,281.23,519.23 C280.75,518.63,279.93,518.04,279.1,518.04 Z " stroke-width="0" fill="black" />
+<path d="M261.73,437.12 L261.74,437.14 L261.75,437.16 L261.75,437.18 L261.76,437.2 L261.76,437.22 L261.77,437.24 L261.77,437.25 L261.78,437.27 L261.78,437.29 L261.79,437.3 L261.79,437.32 L261.8,437.33 L261.81,437.34 L261.81,437.36 L261.82,437.37 L261.83,437.38 L261.83,437.39 L261.84,437.4 L261.85,437.41 L261.86,437.42 L261.87,437.43 L261.88,437.43 L261.89,437.44 L261.9,437.45 L261.91,437.45 L261.92,437.46 L261.94,437.47 L261.95,437.47 L261.97,437.47 L261.98,437.48 L262,437.48 L262.02,437.48 C262.11,437.5,262.42,437.5,262.62,437.5 C263.33,437.5,264.44,437.5,264.44,436.51 C264.44,436.17,264.28,435.48,263.89,435.09 C263.63,434.84,263.1,434.52,262.2,434.52 H261.09 Z " stroke-width="0" fill="black" />
+<path d="M263.17,434.39 L263.27,434.41 L263.36,434.43 L263.46,434.46 L263.55,434.49 L263.65,434.52 L263.75,434.56 L263.84,434.6 L263.94,434.64 L264.03,434.68 L264.13,434.73 L264.22,434.78 L264.31,434.83 L264.39,434.88 L264.48,434.93 L264.56,434.99 L264.64,435.05 L264.72,435.12 L264.8,435.18 L264.87,435.25 L264.93,435.32 L265,435.39 L265.06,435.46 L265.11,435.54 L265.16,435.62 L265.21,435.7 L265.25,435.78 L265.28,435.86 L265.31,435.95 L265.33,436.03 L265.35,436.12 L265.36,436.22 L265.36,436.31 C265.36,437.17,264.46,437.8,263.16,437.8 H260.32 C260.12,437.8,260.03,437.8,260.03,437.61 C260.03,437.5,260.12,437.5,260.31,437.5 C260.33,437.5,260.52,437.5,260.69,437.48 C260.87,437.46,260.96,437.45,260.96,437.32 C260.96,437.28,260.95,437.25,260.92,437.13 L259.59,431.78 C259.48,431.39,259.46,431.31,258.68,431.31 C258.5,431.31,258.41,431.31,258.41,431.11 C258.41,431,258.53,431,258.55,431 C258.83,431,259.52,431.03,259.8,431.03 C260.08,431.03,260.79,431,261.07,431 C261.15,431,261.27,431,261.27,431.2 C261.27,431.31,261.18,431.31,260.99,431.31 C260.62,431.31,260.34,431.31,260.34,431.49 C260.34,431.55,260.36,431.6,260.37,431.66 L261.03,434.3 H262.21 C263.12,434.3,263.3,433.74,263.3,433.39 C263.3,433.24,263.22,432.93,263.16,432.7 C263.09,432.43,263,432.05,263,431.86 C263,430.78,264.2,430.78,264.33,430.78 C265.17,430.78,265.52,431.79,265.52,431.93 C265.52,432.05,265.41,432.05,265.4,432.05 C265.31,432.05,265.29,431.98,265.27,431.91 C265.02,431.17,264.59,431,264.37,431 C264.04,431,263.97,431.22,263.97,431.61 C263.97,431.92,264.03,432.43,264.07,432.74 C264.09,432.88,264.11,433.07,264.11,433.21 C264.11,433.98,263.44,434.29,263.17,434.39 Z " stroke-width="0" fill="black" />
+<path d="M323.07,595.02 L323.07,595.03 L323.07,595.03 L323.07,595.03 L323.07,595.04 L323.06,595.04 L323.06,595.05 L323.06,595.05 L323.06,595.05 L323.06,595.06 L323.05,595.06 L323.05,595.07 L323.05,595.07 L323.05,595.08 L323.04,595.09 L323.04,595.1 L323.03,595.11 L323.03,595.12 L323.03,595.12 L323.03,595.13 L323.03,595.13 L323.03,595.14 L323.02,595.14 L323.02,595.15 L323.02,595.15 L323.02,595.15 L323.02,595.16 L323.02,595.16 L323.02,595.16 C323.02,595.18,323.2,595.31,323.31,595.4 L325.05,596.74 C325.99,597.43,326.38,597.47,326.68,597.5 C326.76,597.5,326.86,597.52,326.86,597.7 C326.86,597.73,326.83,597.8,326.75,597.8 C326.53,597.8,326.28,597.77,326.04,597.77 C325.68,597.77,325.29,597.8,324.93,597.8 C324.86,597.8,324.75,597.8,324.75,597.6 C324.75,597.53,324.79,597.5,324.86,597.5 C325.08,597.48,325.17,597.43,325.17,597.28 C325.17,597.1,324.88,596.88,324.81,596.83 L320.93,593.84 L321.73,597.04 C321.82,597.4,321.84,597.5,322.56,597.5 C322.81,597.5,322.9,597.5,322.9,597.7 C322.9,597.78,322.82,597.8,322.76,597.8 C322.48,597.8,321.77,597.77,321.49,597.77 C321.2,597.77,320.49,597.8,320.2,597.8 C320.13,597.8,320,597.8,320,597.61 C320,597.5,320.09,597.5,320.29,597.5 C320.42,597.5,320.6,597.48,320.72,597.48 C320.88,597.46,320.94,597.43,320.94,597.32 C320.94,597.28,320.93,597.25,320.9,597.13 L319.56,591.78 C319.46,591.39,319.45,591.31,318.66,591.31 C318.49,591.31,318.38,591.31,318.38,591.12 C318.38,591,318.5,591,318.53,591 C318.81,591,319.52,591.03,319.79,591.03 C320,591.03,320.22,591.02,320.43,591.02 C320.65,591.02,320.87,591,321.08,591 C321.15,591,321.28,591,321.28,591.2 C321.28,591.31,321.19,591.31,321,591.31 C320.63,591.31,320.35,591.31,320.35,591.49 C320.35,591.56,320.41,591.78,320.44,591.93 C320.58,592.45,320.71,592.97,320.84,593.49 L322.32,594.65 C322.58,594.05,323.23,592.56,323.48,591.97 C323.6,591.7,323.6,591.68,323.6,591.62 C323.6,591.32,323.17,591.31,323.08,591.31 C322.97,591.31,322.86,591.31,322.86,591.11 C322.86,591,322.98,591,323,591 C323.4,591,323.82,591.03,324.21,591.03 C324.44,591.03,324.97,591,325.19,591 C325.24,591,325.37,591,325.37,591.2 C325.37,591.31,325.26,591.31,325.17,591.31 C324.77,591.32,324.64,591.41,324.48,591.76 Z " stroke-width="0" fill="black" />
+<path d="M219.73,597.03 L219.74,597.06 L219.74,597.09 L219.75,597.12 L219.76,597.15 L219.77,597.18 L219.78,597.2 L219.79,597.23 L219.8,597.25 L219.81,597.27 L219.82,597.3 L219.84,597.32 L219.85,597.33 L219.87,597.35 L219.89,597.37 L219.91,597.38 L219.94,597.4 L219.96,597.41 L219.99,597.42 L220.02,597.43 L220.06,597.44 L220.08,597.45 L220.1,597.45 L220.12,597.46 L220.14,597.46 L220.16,597.46 L220.18,597.47 L220.21,597.47 L220.23,597.47 L220.26,597.48 L220.29,597.48 L220.31,597.48 L220.34,597.48 L220.37,597.49 L220.4,597.49 L220.44,597.49 L220.47,597.49 L220.5,597.49 L220.54,597.49 L220.58,597.49 L220.62,597.49 L220.66,597.5 L220.7,597.5 L220.74,597.5 L220.78,597.5 C221.08,597.5,221.16,597.5,221.16,597.68 C221.16,597.8,221.05,597.8,221,597.8 C220.67,597.8,219.85,597.77,219.53,597.77 C219.23,597.77,218.5,597.8,218.2,597.8 C218.13,597.8,218.01,597.8,218.01,597.6 C218.01,597.5,218.1,597.5,218.29,597.5 C218.31,597.5,218.5,597.5,218.67,597.48 C218.85,597.46,218.94,597.45,218.94,597.32 C218.94,597.28,218.93,597.25,218.9,597.13 L217.56,591.78 C217.46,591.39,217.45,591.31,216.66,591.31 C216.49,591.31,216.39,591.31,216.39,591.11 C216.39,591,216.48,591,216.66,591 H221.27 C221.51,591,221.52,591,221.58,591.17 L222.37,593.32 C222.41,593.43,222.41,593.45,222.41,593.46 C222.41,593.5,222.38,593.57,222.29,593.57 C222.2,593.57,222.19,593.52,222.12,593.36 C221.78,592.45,221.34,591.31,219.62,591.31 H218.68 C218.54,591.31,218.52,591.31,218.46,591.32 C218.36,591.33,218.33,591.34,218.33,591.42 C218.33,591.45,218.33,591.47,218.38,591.65 Z " stroke-width="0" fill="black" />
+</g>
+</svg>

IMO/2011/imo2k11p6.eps

+%!PS-Adobe-2.0 EPSF-2.0
+%%Creator: dvips(k) 5.98 Copyright 2009 Radical Eye Software
+%%Title: imo2k11p6.euk.dvi
+%%CreationDate: Wed Jul 27 01:44:22 2011
+%%BoundingBox: 66 39 810 721
+%%DocumentFonts: CMMI10 CMR10
+%%EndComments
+%DVIPSWebPage: (www.radicaleye.com)
+%DVIPSCommandLine: dvips -q -f -E imo2k11p6.euk.dvi
+%DVIPSParameters: dpi=600
+%DVIPSSource:  TeX output 2011.07.27:0144
+%%BeginProcSet: tex.pro 0 0
+%!
+/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
+N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72
+mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
+0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{
+landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize
+mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
+matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
+exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{
+statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0]
+N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin
+/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array
+/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
+array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N
+df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
+definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
+}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
+B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr
+1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S
+/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy
+setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask
+restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
+/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
+}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
+bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
+mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
+SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
+userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
+1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
+index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N
+/p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{
+/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)
+(LaserWriter 16/600)]{A length product length le{A length product exch 0
+exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
+end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask
+grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot}
+imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round
+exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto
+fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p
+delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M}
+B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{
+p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S
+rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
+
+%%EndProcSet
+%%BeginProcSet: pstricks.pro 0 0
+% $Id: pstricks.pro 90 2009-01-30 10:58:51Z herbert $
+%
+%% PostScript prologue for pstricks.tex.
+%% Version 1.06, 2009/01/30
+%%
+%% This program can be redistributed and/or modified under the terms
+%% of the LaTeX Project Public License Distributed from CTAN archives
+%% in directory macros/latex/base/lppl.txt.
+%
+%
+% Define the follwing gs-functions if not known, eg when using distiller
+%
+systemdict /.setopacityalpha known not {/.setopacityalpha { pop } def } if
+systemdict /.setblendmode known not {/.setblendmode { pop } def } if
+systemdict /.setshapealpha known not {/.setshapealpha { pop } def } if
+%
+/tx@Dict 200 dict def 				% the main PSTricks dictionary
+tx@Dict begin
+/ADict 25 dict def				% The arrow dictionaray
+/CM { matrix currentmatrix } bind def
+/SLW /setlinewidth load def
+/CLW /currentlinewidth load def
+/CP /currentpoint load def
+/ED { exch def } bind def
+/L /lineto load def
+/T /translate load def
+/TMatrix { } def
+/RAngle { 0 } def
+/Sqrt { dup 0 lt { pop 0 } { sqrt } ifelse } def  % return 0 for negative arguments 
+/Atan { /atan load stopped { pop pop 0 } if } def % return 0 if atan not known
+/ATAN1 {neg -1 atan 180 sub } def		% atan(x) (only one parameter)
+/Div { dup 0 eq { pop } { div } ifelse } def  	% control the division
+/tan { dup cos abs 1.e-10 lt 
+  { pop 1.e10 } 				% return 1.e10 as infinit
+  { dup sin exch cos div } ifelse 		% default sin/cos
+} def
+/Tan { dup sin exch cos Div } def 		% sin(x)/cos(x) x in degrees
+/Acos {dup dup mul neg 1 add dup 0 lt {		% arc cos, returns 0 when negative root
+  pop pop 0 }{ sqrt exch atan} ifelse } def
+/NET { neg exch neg exch T } def	      	% change coordinate system to the negative one		
+/Pyth { dup mul exch dup mul add sqrt } def   	% Pythagoras, expects 2 parameter
+/Pyth2 {					% Pythagoras, xA yA xB yB
+  3 -1 roll 		% xA xB yB yA
+  sub			% xA xB yB-yA
+  3 1 roll 		% yB-yA xA xB
+  sub			% yB-yA xA-xB
+  Pyth } def
+/PtoC { 2 copy cos mul 3 1 roll sin mul } def 	% Polar to Cartesian
+/Rand { rand 4294967295 div } def		% a real random number
+%----------------- hv added 20050516 ---------------
+/PiDiv2 1.57079632680 def
+/Pi 3.14159265359 def 
+/TwoPi 6.28318530718 def
+/Euler 2.71828182846 def 
+%/e Euler bind def
+%
+/RadtoDeg { 180 mul Pi div } bind def 		% convert from radian to degrees
+/DegtoRad { Pi mul 180 div } bind def 		% viceversa
+%----------------- hv end---------------------------
+/PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } def
+%
+/PathLength { 
+  flattenpath /z 0 def 
+  { /y1 ED /x1 ED /y2 y1 def /x2 x1 def }
+  { /y ED /x ED PathLength@ } 
+  {} 
+  { /y y2 def /x x2 def PathLength@ }
+  /pathforall load stopped { pop pop pop pop } if 
+  z 
+} def
+%
+/STP { .996264 dup scale } def			% BP/PT scaling
+/STV { SDict begin normalscale end STP  } def	% 
+%
+%%-------------- DG begin patch 15 ---------------%%
+%/DashLine { dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def
+%PathLength } ifelse /b ED /x ED /y ED /z y x add def b a .5 sub 2 mul y
+%mul sub z Div round z mul a .5 sub 2 mul y mul add b exch Div dup y mul
+%/y ED x mul /x ED x 0 gt y 0 gt and { [ y x ] 1 a sub y mul } { [ 1 0 ]
+%0 } ifelse setdash stroke } def
+/DashLine {
+  dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def PathLength } ifelse
+  /b ED /x1 ED /y1 ED /x ED /y ED 
+  /z y x add y1 add x1 add def
+  /Coef b a .5 sub 2 mul y mul sub z Div round 
+    z mul a .5 sub 2 mul y mul add b exch Div def 
+  /y y Coef mul def 
+  /x x Coef mul def 
+  /y1 y1 Coef mul def 
+  /x1 x1 Coef mul def
+  x1 0 gt y1 0 gt or x 0 gt or y 0 gt and 
+    { [ y x y1 x1 ] 1 a sub y mul }
+    { [ 1 0 ] 0 } ifelse 
+  setdash stroke
+} def
+%%-------------- DG end patch 15 ---------------%%
+/DotLine { 
+  /b PathLength def 
+  /a ED /z ED /y CLW def 
+  /z y z add def 
+  a 0 gt { 
+    /b b a div def 
+  }{ 
+    a 0 eq { 
+      /b b y sub def 
+    }{ a -3 eq { 
+      /b b y add def } if 
+    } ifelse 
+  } ifelse 
+  [ 0 b b z Div round Div dup 0 le { pop 1 } if ] 
+  a 0 gt { 0 }{ y 2 div a -2 gt { neg }if } ifelse 
+  setdash 1 setlinecap stroke 
+} def
+%
+/LineFill { % hv ------------ patch 7 -------------
+  gsave 
+  abs /hatchWidthInc ED
+  abs /hatchSepInc ED
+  abs CLW add /a ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  2 setlinecap 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  x2 x1 sub 1 add { 
+    x1 a mul y1 moveto 0 y2 rlineto stroke 
+    /x1 x1 1 add 
+      hatchWidthInc 0 gt { CLW add } if 
+    def 
+    hatchSepInc 0 gt hatchWidthInc 0 gt or { 
+      /a a hatchSepInc add def
+      CLW hatchWidthInc add SLW 
+    } if
+  } repeat 
+  grestore 
+  pop pop } def
+%
+/PenroseFill {%	 on stack: scaling factor
+  dup dup scale
+  1 exch div round /penroseFactor ED 
+  a 0 dtransform round exch round exch
+  2 copy idtransform 
+  exch Atan rotate 
+  idtransform pop /a ED 
+  .25 .25 itransform pathbbox 
+  /y2 ED 
+  a Div ceiling cvi /x2 ED /y1 ED 
+  a Div cvi /x1 ED /y2 y2 y1 sub def 
+  clip 
+  newpath 
+  systemdict
+  /setstrokeadjust known { true setstrokeadjust } if 
+  /I/S/L/W/G/+/Z/F/E/D[/def/exch/for{E D}/add{s E get mul}
+ { Z -36.2001 1 33 }{25 E S rlineto}{/q Z dup q G E q 1 + G}{Z 2 2}]{cvx def}forall
+  [0 72 1008 {dup sin E cos }F ]1 setlinejoin/s W{/a W{/b I 10{/i I 4{/m I moveto
+  i m +/j I 10{/l Z b m l + G a l G sub s m get div .2 + floor .3 + 25
+  mul j l + S rmoveto}F i L j L stroke }F}F}F}F 
+  grestore 
+  pop pop 
+} def
+%
+%gsave abs CLW add /a ED a 0 dtransform round exch round exch
+%2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25
+%% DG/SR modification begin - Dec. 12, 1997 - Patch 2
+%%itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
+%itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a
+%% DG/SR modification end
+%Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict
+%/setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1
+%% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
+%% a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore }
+%% def
+%a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore
+%pop pop } def
+%% DG/SR modification end
+%
+/BeginArrow { 
+  ADict begin 			% hold it local, for end see EndArrow
+  /@mtrx CM def 
+  gsave 
+  2 copy T 
+  2 index sub neg exch 
+  3 index sub exch Atan 
+  rotate newpath 
+} def
+%
+/EndArrow { @mtrx setmatrix CP grestore end } def % end the ADict
+%
+/Arrow { 
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /a ED 
+  { 0 h T 1 -1 scale } if 
+  w neg h moveto 
+  0 0 L w h L w neg a neg rlineto 
+  gsave fill grestore 
+} def
+%
+/ArrowD { % the sides are drawn as curves (hv 20071211)
+  CLW mul add dup 
+  2 div /w ED 
+  mul dup /h ED 
+  mul /Inset ED 
+  { 0 h T 1 -1 scale } if % changes the direction
+% we use y=w/h^2 * x^2 as equation for the control points
+% for the coordinates the arrow is seen from top to bottom
+% the bottom (tip) is (0;0)
+  w neg h moveto % lower left of >
+  w 9 div 4 mul neg h 3 div 2 mul
+  w 9 div neg       h 3 div  
+  0 0 curveto    % tip of >
+  w 9 div        h 3 div  
+  w 9 div 4 mul  h 3 div 2 mul
+  w h curveto % upper left of >
+  w neg Inset neg rlineto % move to x=0 and inset
+  gsave fill grestore 
+} def 
+%
+/Tbar { 
+  CLW mul add /z ED 
+  z -2 div CLW 2 div moveto 
+  z 0 rlineto stroke 
+  0 CLW moveto 
+} def
+%
+/Bracket { 
+  CLW mul add dup CLW sub 2 div 
+  /x ED mul CLW add /y ED /z CLW 2 div def 
+  x neg y moveto 
+  x neg CLW 2 div L x CLW 2 div L x y L stroke 
+  0 CLW moveto 
+} def
+%
+/RoundBracket { 
+  CLW mul add dup 2 div 
+  /x ED mul /y ED /mtrx CM def 
+  0 CLW 2 div T x y mul 0 ne { x y scale } if 
+  1 1 moveto 
+  .85 .5 .35 0 0 0 curveto 
+  -.35 0 -.85 .5 -1 1 curveto 
+  mtrx setmatrix stroke 0 CLW moveto 
+} def
+%
+/SD { 0 360 arc fill } def
+%
+/EndDot { % DS is the dot size 
+  { /z DS def } { /z 0 def } ifelse 
+  /b ED 0 z DS SD b { 0 z DS CLW sub SD } if 
+  0 DS z add CLW 4 div sub moveto } def
+%
+/Shadow { [ { /moveto load } { /lineto load } { /curveto load } {
+  /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto
+  load } if ] cvx newpath 3 1 roll T exec } def
+%
+%/NArray { 
+%   aload length 2 div dup dup cvi eq not { exch pop } if /n exch
+%   cvi def 
+%} def
+%
+/NArray { % holds the coordinates and on top of stack the showpoints boolean
+  /showpoints ED 
+  counttomark 2 div dup cvi /n ED 
+  n eq not { exch pop } if
+  showpoints { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
+} def
+%
+/Line { 
+  NArray n 0 eq not 
+    { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub def 
+      n { Lineto } repeat 
+      CP 4 2 roll ArrowB L pop pop 
+    } if 
+} def
+%
+/Arcto { 
+  /a [ 6 -2 roll ] cvx def 
+  a r 
+  /arcto load stopped { 5 } { 4 } ifelse { pop } repeat 
+  a 
+} def
+%
+/CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq
+  and { pop pop /n n 1 sub def } if } def
+/Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop }
+  repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1
+  ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1
+  moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto
+  Lineto pop pop closepath } ifelse } def
+/Diamond { 
+  /mtrx CM def 
+  T rotate 
+  /h ED 
+  /w ED 
+  dup 0 eq { pop } { CLW mul neg 
+    /d ED 
+    /a w h Atan def 
+    /h d a sin Div h add def 
+    /w d a cos Div w add def } ifelse 
+  mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 div 
+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false Line 
+  closepath mtrx setmatrix } def
+% DG modification begin - Jan. 15, 1997
+%/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq {
+%pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2
+%div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0
+%d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx
+%setmatrix } def
+%
+/Triangle { 
+  /mtrx CM def 
+  translate 
+  rotate /h ED 2 div /w ED 
+  dup CLW mul /d ED 
+  /h h d w h Atan sin Div sub def 
+  /w w d h w Atan 2 div dup cos exch sin Div mul sub def 
+  mark 
+  0 d w neg d 0 h w d 0 d 
+  /ArrowA { moveto } def 
+  /ArrowB { } def 
+  false 
+  Line 
+  closepath 
+  mtrx
+% DG/SR modification begin - Jun.  1, 1998 - Patch 3 (from Michael Vulis)
+% setmatrix } def
+  setmatrix pop 
+} def
+% DG/SR modification end
+%
+/CCA { 
+  /y ED /x ED 
+  2 copy y sub /dy1 ED 
+  x sub /dx1 ED 
+  /l1 dx1 dy1 Pyth def 
+} def
+%
+/CC { 
+  /l0 l1 def 
+  /x1 x dx sub def 
+  /y1 y dy sub def 
+  /dx0 dx1 def 
+  /dy0 dy1 def 
+  CCA 
+  /dx dx0 l1 c exp mul dx1 l0 c exp mul add def 
+  /dy dy0 l1 c exp mul dy1 l0 c exp mul add def 
+  /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos abs b exp a mul dx dy Pyth Div 2 div def 
+  /x2 x l0 dx mul m mul sub def
+  /y2 y l0 dy mul m mul sub def 
+  /dx l1 dx mul m mul neg def 
+  /dy l1 dy mul m mul neg def 
+} def
+%
+/IC { 
+  /c c 1 add def 
+  c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } ifelse 
+  /a a 2 mul 3 div 45 cos b exp div def 
+  CCA 
+  /dx 0 def 
+  /dy 0 def 
+} def
+%
+/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def
+/NC { CC x1 y1 x2 y2 x y curveto } def
+/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def
+/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def
+/NAC { x2 y2 x y curveto CC x1 y1 } def
+/EAC { x2 y2 x y ArrowB curveto pop pop } def
+%
+/OpenCurve { 
+  NArray n 3 lt 
+    { n { pop pop } repeat } 
+    { BOC /n n 3 sub def n { NC } repeat EOC } ifelse 
+} def
+%
+/AltCurve { 
+  { false NArray n 2 mul 2 roll 
+    [ n 2 mul 3 sub 1 roll ] aload
+    /Points ED 
+    n 2 mul -2 roll } 
+  { false NArray } ifelse 
+  n 4 lt { n { pop pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse 
+} def
+%
+/ClosedCurve { 
+  NArray n 3 lt 
+    { n { pop pop } repeat } 
+    { n 3 gt { CheckClosed } if 
+      6 copy n 2 mul 6 add 6 roll 
+      IC CC x y moveto n { NC } repeat 
+      closepath pop pop 
+    } ifelse 
+} def
+%
+/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def
+/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def
+/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } def
+%
+/FontDot { 
+  DS 2 mul dup 
+  matrix scale matrix concatmatrix exch matrix
+  rotate matrix concatmatrix exch 
+  findfont exch makefont setfont 
+} def
+%
+/Rect { 
+  x1 y1 y2 add 2 div moveto 
+  x1 y2 lineto 
+  x2 y2 lineto 
+  x2 y1 lineto
+  x1 y1 lineto 
+  closepath 
+} def
+%
+/OvalFrame { 
+  x1 x2 eq y1 y2 eq or 
+    { pop pop x1 y1 moveto x2 y2 L } 
+    { y1 y2 sub abs x1 x2 sub abs 2 copy gt 
+      { exch pop } { pop } ifelse 
+      2 div exch { dup 3 1 roll mul exch } if 
+      2 copy lt { pop } { exch pop } ifelse
+      /b ED 
+      x1 y1 y2 add 2 div moveto 
+      x1 y2 x2 y2 b arcto 
+      x2 y2 x2 y1 b arcto
+      x2 y1 x1 y1 b arcto 
+      x1 y1 x1 y2 b arcto 
+      16 { pop } repeat 
+      closepath 
+    } ifelse 
+} def
+%
+/Frame { 
+  CLW mul /a ED 
+  3 -1 roll 
+  2 copy gt { exch } if 
+  a sub /y2 ED 
+  a add /y1 ED 
+  2 copy gt { exch } if 
+  a sub /x2 ED 
+  a add /x1 ED 
+  1 index 0 eq { pop pop Rect } { OvalFrame } ifelse 
+} def
+%
+/BezierNArray { 
+  /f ED 
+  counttomark 2 div dup cvi /n ED 
+  n eq not { exch pop } if 
+  n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat 
+  f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse 
+} def
+%
+/OpenBezier { 
+  BezierNArray 
+  n 1 eq 
+    { pop pop } 
+    { ArrowA n 4 sub 3 idiv 
+      { 6 2 roll 4 2 roll curveto } repeat 
+      6 2 roll 4 2 roll ArrowB curveto } ifelse 
+} def
+%
+/ClosedBezier { 
+  BezierNArray 
+  n 1 eq 
+    { pop pop } 
+    { moveto n 1 sub 3 idiv 
+      { 6 2 roll 4 2 roll curveto } repeat 
+      closepath } ifelse 
+} def
+%
+/BezierShowPoints { 
+  gsave 
+  Points aload length 2 div cvi /n ED 
+  moveto 
+  n 1 sub { lineto } repeat 
+  CLW 2 div SLW [ 4 4 ] 0 setdash stroke 
+  grestore 
+} def
+%
+/Parab { 
+  /y0 ED /x0 ED /y1 ED /x1 ED 
+  /dx x0 x1 sub 3 div def 
+  /dy y0 y1 sub 3 div def 
+  x0 dx sub y0 dy add x1 y1 ArrowA
+  x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB 
+  curveto 
+  /Points [ x1 y1 x0 y0 x0 2 mul x1 sub y1 ] def 
+} def
+%
+/Grid { 
+  newpath 
+  /a 4 string def 
+  /b ED /c ED /n ED 
+  cvi dup 1 lt { pop 1 } if 
+  /s ED 
+  s div dup 0 eq { pop 1 } if 
+  /dy ED s div dup 0 eq { pop 1 } if
+  /dx ED dy div round dy mul 
+  /y0 ED dx div round dx mul 
+  /x0 ED dy div round cvi 
+  /y2 ED dx div round cvi 
+  /x2 ED dy div round cvi 
+  /y1 ED dx div round cvi 
+  /x1 ED 
+  /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def 
+  /w x2 x1 sub 0 gt { 1 } { -1 } ifelse def 
+  b 0 gt { 
+    /z1 b 4 div CLW 2 div add def
+%    /Helvetica findfont b scalefont setfont 
+    /b b .95 mul CLW 2 div add def } if 
+  systemdict /setstrokeadjust known 
+    { true setstrokeadjust /t { } def }
+    { /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add
+       exch itransform } bind def } ifelse 
+  gsave n 0 gt { 1 setlinecap [ 0 dy n div ] dy n div 2 div setdash } { 2 setlinecap } ifelse 
+  /i x1 def