[argyllcms] Re: sRGB/AdobeRGB98 vs Lab (was Verifying profile quality...)

  • From: Graeme Gill <graeme@xxxxxxxxxxxxx>
  • To: argyllcms@xxxxxxxxxxxxx
  • Date: Thu, 23 Mar 2006 12:17:49 +1100

Milton Taylor wrote:

You could still compare the gamuts of the various devices with both 'eye' gamuts...in fact it may be more useful because you would be able to see what parts of the gamut the device might produce that were for all practical purposes irrelevant.

OK - attached is the gamut I ended up with by simply plotting the spectrum locus in L*a*b* space, up to Y = 100. See what you think :-) I suspect it's so big that it dwarfs most practical output devices.

Yes that's true, but I don't see a problem with that. If you do this with an LCD, and it's set to maximum backlight brightness you're doing this anyway since any adjustment in the monitor's white balance color temp is just ultimately fiddling with the input values, so one might as well let the profile do it all.

Well, on some exotic LCD's they actually adjust the backlight white point (those using RGB LED's as backlighting), but ignoring this, the usual way of adjusting white point is to limit the maximum RGB channel input values and scale the input to the limit. This won't expand the gamut in the way I was suggesting above. To exaggerate the suggestion, say you're LCD was capable of putting out 250 cd/m2, but you set the white point at 125 cd/m2 in the profile (ignoring the clipping this would do to the relative transformed ICC table data). When viewing images on the display, you're eye will be adapted to 125 cd/m2, but the display is then capable of displaying R, G or B channel values at up to twice that brightness. For instances, say this is an sRGB display:

(Using the ICC convention of Y = 1.0, and adapting CIE values to D50
white point)

White:
        XYZ 0.964300 1.000000 0.825100 -> Lab 100.000000 0.017285 -0.016162

Normal Red:
        XYZ 0.436100 0.222500 0.013900 -> Lab 54.291260 80.824574 69.917360
Red with twice brightness:
        XYZ 0.872200 0.445000 0.027800 -> Lab 72.561438 101.832582 88.090353

Normal Green:
        XYZ 0.385100 0.716900 0.097100 -> Lab 87.819161 -79.278000 80.981276
Green with twice brightness:
        XYZ 0.770200 1.433800 0.194200 -> Lab 114.803947 -99.884022 102.030014

Normal Blue:
        XYZ 0.143100 0.060600 0.714100 -> Lab 29.563338 68.330825 -112.054083
Blue with twice brightness:
        XYZ 0.286200 0.121200 1.428200 -> Lab 41.406208 86.091445 -141.179297

and so on. Note that no input gamut would request a color with L > 100
(So the green with twice brightness would never be used displaying
an image, etc.)

A disadvantage with this approach is that almost all frame buffers and
displays only have 8 bits per component, so the larger gamut will come
at the cost of poorer precision.

Graeme Gill.
GAMUT

DESCRIPTOR "Argyll Gamut surface poligon data"
ORIGINATOR "Argyll CMS gamut library"
CREATED "Thu Mar 23 11:44:28 2006"
KEYWORD "COLOR_REP"
COLOR_REP "LAB"
# First come the triangle verticy location

KEYWORD "VERTEX_NO"
NUMBER_OF_FIELDS 4
BEGIN_DATA_FORMAT
VERTEX_NO LAB_L LAB_A LAB_B 
END_DATA_FORMAT

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519 54.061 -32.131 -111.25 
520 29.406 -20.824 -72.103 
521 9.3303 37.559 16.080 
522 26.847 -19.650 -68.039 
523 49.939 -30.240 -104.71 
524 39.006 7.0834 66.879 
525 24.209 62.359 41.713 
526 24.209 -10.415 41.570 
527 56.078 29.223 -153.96 
528 15.700 -20.150 26.921 
529 36.689 6.7851 62.930 
530 29.406 -3.0085 50.483 
531 15.700 49.162 27.056 
532 24.209 -18.054 41.514 
533 21.482 19.447 36.948 
534 3.3860 34.969 -16.229 
535 34.321 6.4801 58.888 
536 12.604 37.214 21.713 
537 49.939 26.734 -140.85 
538 31.895 6.1677 54.745 
539 26.847 -2.8390 46.105 
540 1.5049 -0.29455 2.5886 
541 18.651 17.978 32.086 
542 24.209 35.372 41.635 
543 21.482 -9.7085 36.900 
544 6.0195 24.953 10.371 
545 29.406 5.8472 50.491 
546 6.0195 33.033 10.374 
547 21.482 32.972 36.952 
548 21.482 -16.829 36.854 
549 26.847 37.692 46.161 
550 15.700 41.241 27.045 
551 24.209 -2.6642 41.589 
552 36.689 37.241 62.989 
553 18.651 30.482 32.090 
554 26.847 68.947 46.255 
555 15.700 16.447 27.014 
556 26.847 5.5177 46.112 
557 3.3860 -2.4761 5.8225 
558 18.651 -8.9754 32.049 
559 9.3303 -6.5544 16.044 
560 6.0195 -4.4020 10.351 
561 36.689 17.109 62.946 
562 6.0195 34.305 10.374 
563 34.321 16.340 58.902 
564 18.651 -15.558 32.012 
565 1.5049 2.6355 2.5901 
566 12.604 29.764 21.699 
567 15.700 27.886 27.017 
568 12.604 40.071 21.713 
569 31.895 15.552 54.757 
570 12.604 25.163 21.693 
571 24.209 5.1780 41.595 
572 21.482 -2.4835 36.915 
573 26.847 30.285 46.144 
574 9.3303 13.142 16.059 
575 9.3303 35.485 16.074 
576 3.3860 5.9299 5.8278 
577 3.3860 33.535 -12.922 
578 24.209 28.420 41.621 
579 29.406 14.744 50.501 
580 18.651 36.056 32.100 
581 15.700 -8.2109 26.986 
582 9.3303 26.357 16.064 
583 18.651 48.542 32.125 
584 21.482 26.492 36.941 
585 9.3303 22.283 16.060 
586 15.700 -14.233 26.958 
587 1.5049 0.59891 2.5888 
588 3.3860 -0.66275 5.8242 
589 39.006 64.945 67.131 
590 12.604 -12.843 21.650 
591 12.604 -7.4090 21.670 
592 26.847 13.913 46.121 
593 21.482 4.8267 36.920 
594 3.3860 13.327 5.8298 
595 18.651 -2.2959 32.061 
596 1.5049 4.8371 2.5904 
597 18.651 24.492 32.081 
598 6.0195 18.382 10.362 
599 29.406 32.093 50.529 
600 1.5049 1.5792 2.5891 
601 29.406 39.943 50.548 
602 24.209 13.057 41.602 
603 1.5049 3.7428 2.5898 
604 3.3860 1.3475 5.8248 
605 24.209 41.839 41.651 
606 15.700 22.406 27.011 
607 12.604 20.217 21.688 
608 6.0195 14.608 10.359 
609 3.3860 3.5532 5.8254 
610 6.0195 -1.1782 10.354 
611 3.3860 8.4213 5.8271 
612 21.482 12.171 36.926 
613 18.651 4.4622 32.064 
614 9.3303 17.904 16.057 
615 15.700 -2.1004 26.995 
616 6.0195 6.3168 10.356 
617 6.0195 2.3956 10.355 
618 9.3303 -1.6783 16.049 
619 12.604 -1.8953 21.677 
620 18.651 11.252 32.069 
621 15.700 4.0822 26.998 
622 9.3303 8.2253 16.052 
623 9.3303 3.2619 16.050 
624 26.847 44.584 46.180 
625 12.604 3.6835 21.679 
626 15.700 10.294 27.001 
627 26.847 60.024 46.227 
628 12.604 9.2883 21.681 
629 26.847 55.744 46.229 
630 21.482 52.508 36.997 
631 31.895 33.852 54.790 
632 34.321 35.567 58.940 
633 54.061 72.902 92.736 
634 34.321 78.040 59.121 
635 31.895 -94.459 -32.559 
636 31.895 42.133 54.813 
637 34.321 -99.243 -34.208 
638 29.406 -89.551 -30.867 
639 36.689 -103.91 -35.818 
640 43.499 -117.34 -40.448 
641 49.939 -130.05 -44.826 
642 56.078 -142.15 -48.999 
643 65.770 -161.27 -55.588 
644 43.499 70.251 74.846 
645 61.966 68.585 106.07 
646 29.406 75.280 50.660 
647 29.406 47.247 50.571 
648 49.939 58.005 85.636 
649 29.406 59.073 50.629 
650 39.006 81.560 67.184 
651 41.274 40.482 70.819 
652 41.274 50.383 70.858 
653 31.895 62.311 54.908 
654 61.966 81.126 106.18 
655 31.895 49.836 54.840 
656 39.006 88.512 67.181 
657 39.006 71.562 67.125 
658 34.321 44.266 58.967 
659 52.016 59.833 89.171 
660 43.499 88.222 74.913 
661 49.939 68.612 85.706 
662 36.689 46.350 63.020 
663 34.321 70.493 59.073 
664 21.482 69.014 26.100 
665 43.499 77.408 74.839 
666 54.061 61.632 92.651 
667 6.0195 42.199 -3.4321 
668 49.939 102.26 85.982 
669 49.939 85.786 85.884 
670 6.0195 43.144 -7.0969 
671 63.879 103.92 109.75 
672 43.499 61.911 74.708 
673 12.604 53.447 11.449 
674 56.078 115.98 96.527 
675 49.939 92.372 85.876 
676 15.700 59.231 13.075 
677 9.3303 33.393 -68.970 
678 24.209 74.036 28.237 
679 18.651 64.746 14.292 
680 56.078 93.773 96.402 
681 26.847 78.893 30.092 
682 29.406 83.605 31.889 
683 31.895 88.187 33.637 
684 34.321 92.654 35.340 
685 39.006 101.28 38.631 
686 56.078 100.97 96.392 
687 43.499 109.55 41.786 
688 49.939 121.41 46.309 
689 56.078 132.71 50.621 
690 65.770 150.56 57.427 
691 12.604 37.709 -77.884 
692 9.3303 48.097 4.7217 
693 15.700 41.790 -86.314 
694 18.651 45.681 -94.350 
695 21.482 49.413 -102.06 
696 24.209 53.008 -109.48 
697 6.0195 44.225 -10.719 
698 29.406 59.859 -123.63 
699 34.321 66.338 -137.01 
700 41.274 75.505 -155.95 
701 21.482 70.035 15.460 
702 49.939 86.927 -179.54 
703 6.0195 46.939 -18.179 
704 9.3303 48.954 0.068889 
705 6.0195 48.676 -22.186 
706 6.0195 53.351 -31.285 
707 6.0195 50.771 -26.510 
708 12.604 54.313 5.5107 
709 9.3303 49.920 -4.3637 
710 15.700 60.191 6.1071 
711 18.651 65.795 6.6757 
712 9.3303 51.016 -8.6162 
713 21.482 71.170 7.2211 
714 9.3303 52.271 -12.819 
715 12.604 55.281 0.077792 
716 9.3303 55.421 -21.476 
717 12.604 56.372 -4.9277 
718 15.700 61.265 0.086212 
719 24.209 76.348 7.7465 
720 12.604 57.610 -9.7298 
721 31.895 89.492 19.754 
722 18.651 66.969 0.094238 
723 34.321 94.024 20.755 
724 21.482 72.439 0.10194 
725 24.209 77.710 0.10935 
END_DATA


# And then come the triangles

KEYWORD "VERTEX_0"
KEYWORD "VERTEX_1"
KEYWORD "VERTEX_2"
NUMBER_OF_FIELDS 3
BEGIN_DATA_FORMAT
VERTEX_0 VERTEX_1 VERTEX_2 
END_DATA_FORMAT

NUMBER_OF_SETS 1448
BEGIN_DATA
0 3 4 
4 3 8 
8 11 12 
12 11 15 
11 14 15 
13 12 15 
14 11 18 
16 17 20 
20 17 21 
19 20 21 
15 14 22 
16 20 24 
20 19 24 
19 23 24 
21 17 26 
19 21 26 
19 26 28 
26 17 28 
17 27 28 
19 28 29 
28 27 30 
29 28 30 
30 27 31 
16 24 32 
25 16 32 
24 23 32 
31 27 34 
23 19 35 
19 29 35 
35 29 38 
29 30 39 
30 31 39 
38 29 39 
38 39 41 
32 23 42 
25 32 44 
32 42 44 
23 35 47 
42 23 47 
39 31 50 
47 35 53 
82 54 56 
55 82 56 
82 55 58 
54 82 62 
31 34 63 
50 31 63 
82 67 68 
62 82 69 
82 68 69 
16 25 70 
25 44 70 
44 42 70 
42 47 70 
47 53 70 
59 57 71 
82 58 71 
58 59 71 
38 41 72 
41 37 72 
64 65 73 
65 67 73 
67 82 73 
53 60 73 
70 53 73 
60 64 73 
40 36 74 
43 40 74 
45 46 74 
48 45 74 
49 48 74 
51 49 74 
61 43 74 
46 61 74 
13 15 75 
50 63 76 
54 62 78 
62 69 78 
69 77 78 
50 76 79 
35 38 80 
38 72 80 
41 39 81 
39 50 81 
37 41 83 
77 69 84 
50 79 86 
81 50 86 
41 81 86 
79 76 87 
37 83 88 
85 37 89 
37 88 89 
79 87 90 
22 14 91 
33 22 91 
72 37 93 
80 72 93 
80 93 94 
83 41 95 
41 86 95 
88 83 95 
89 88 95 
86 79 95 
79 90 95 
54 78 96 
78 77 96 
5 2 97 
6 5 97 
7 6 97 
35 80 98 
80 94 98 
90 87 99 
94 93 100 
15 22 101 
75 15 101 
22 33 101 
77 84 102 
96 77 102 
27 17 104 
34 27 104 
63 34 104 
11 8 105 
18 11 105 
14 18 105 
76 63 106 
63 104 106 
53 35 107 
35 98 107 
98 94 107 
87 76 108 
76 106 108 
99 87 108 
64 60 109 
94 100 109 
100 93 110 
93 37 111 
110 93 111 
85 89 112 
56 54 113 
54 96 113 
102 84 114 
53 107 115 
107 94 115 
94 109 115 
99 108 116 
99 116 117 
96 102 118 
113 96 118 
9 7 119 
7 97 119 
10 9 119 
84 103 120 
114 84 120 
89 95 121 
112 89 121 
90 99 122 
99 117 122 
95 90 122 
121 95 122 
74 36 123 
55 56 128 
56 113 128 
60 53 131 
53 115 131 
109 60 131 
115 109 131 
51 52 134 
33 92 137 
101 33 137 
59 58 143 
58 55 143 
55 128 143 
113 118 144 
128 113 144 
102 114 145 
118 102 145 
114 120 145 
91 14 146 
14 105 146 
67 65 147 
57 59 148 
59 143 148 
52 57 150 
57 148 150 
8 12 151 
12 13 151 
13 75 151 
104 17 152 
117 116 153 
68 67 155 
67 147 155 
143 128 157 
128 144 157 
148 143 157 
49 51 159 
51 134 159 
134 140 159 
150 148 160 
148 157 160 
117 153 161 
112 121 163 
134 52 164 
52 150 164 
150 160 164 
144 118 165 
118 145 165 
122 117 166 
117 161 166 
121 122 166 
163 121 166 
120 103 167 
168 138 169 
138 168 170 
138 170 171 
48 49 172 
49 159 172 
167 103 173 
140 156 174 
159 140 174 
172 159 174 
160 157 175 
157 144 175 
144 165 175 
137 92 177 
164 160 178 
160 175 178 
175 320 178 
140 134 179 
134 164 179 
164 178 179 
174 156 181 
156 176 181 
145 120 183 
120 167 183 
37 85 184 
85 112 185 
33 91 187 
92 33 187 
177 92 187 
91 146 187 
43 61 188 
61 46 188 
46 45 188 
186 170 189 
155 147 190 
69 68 191 
68 155 191 
84 69 191 
37 184 192 
109 100 194 
193 147 194 
320 175 196 
175 165 196 
165 145 196 
145 183 196 
101 137 198 
112 163 199 
184 85 202 
85 185 202 
65 64 204 
64 109 204 
109 194 204 
147 65 204 
194 147 204 
194 100 205 
167 173 206 
185 112 207 
112 199 207 
110 111 208 
111 200 208 
100 110 209 
205 100 209 
170 168 210 
189 170 210 
198 137 213 
190 147 214 
147 193 214 
207 199 217 
181 176 219 
195 197 225 
193 194 228 
194 205 228 
137 177 230 
213 137 230 
177 203 230 
203 211 230 
103 84 231 
84 191 231 
155 190 231 
191 155 231 
210 168 233 
156 140 234 
140 179 234 
179 178 234 
161 153 237 
209 110 240 
202 185 242 
185 207 242 
183 167 247 
167 206 247 
213 230 248 
230 245 248 
245 243 248 
207 217 249 
217 223 249 
242 207 249 
214 193 250 
193 228 250 
111 37 254 
37 192 254 
200 111 254 
223 217 255 
236 223 255 
224 221 256 
244 224 256 
233 168 257 
214 250 258 
248 243 259 
243 251 259 
251 238 259 
205 209 260 
228 205 260 
190 214 261 
231 190 261 
173 103 261 
258 173 261 
103 231 261 
214 258 261 
235 237 262 
237 153 262 
211 220 263 
230 211 263 
245 230 263 
211 203 264 
220 211 264 
320 196 265 
196 183 265 
183 247 265 
221 238 268 
256 221 268 
212 216 269 
267 212 269 
253 236 270 
236 255 270 
269 216 271 
162 138 272 
138 222 272 
215 162 272 
216 218 273 
271 216 273 
197 201 274 
199 163 275 
217 199 275 
187 146 276 
250 228 277 
228 260 277 
237 235 279 
235 244 279 
224 244 280 
253 270 281 
270 241 281 
251 243 282 
243 245 282 
245 263 282 
266 246 283 
222 212 284 
212 267 284 
267 180 284 
252 274 285 
218 220 286 
273 218 286 
220 264 286 
161 237 287 
237 279 287 
202 242 288 
153 116 289 
262 153 289 
209 240 291 
260 209 291 
220 218 292 
263 220 292 
282 263 292 
180 215 293 
215 272 293 
272 222 293 
222 284 293 
284 180 293 
208 200 294 
110 208 294 
240 110 294 
238 251 295 
268 238 295 
291 240 296 
240 294 296 
257 168 297 
195 186 298 
197 195 298 
241 246 299 
281 241 299 
258 250 301 
250 277 301 
266 283 302 
283 229 302 
296 294 303 
163 166 304 
275 163 304 
166 161 304 
161 287 304 
255 217 305 
217 275 305 
242 249 306 
249 223 306 
274 201 307 
285 274 307 
277 260 308 
260 291 308 
278 226 309 
300 278 309 
223 236 311 
236 253 311 
306 223 311 
158 182 312 
227 158 312 
206 173 313 
173 258 313 
244 256 314 
279 244 314 
309 226 315 
142 149 316 
226 227 317 
315 226 317 
227 312 317 
312 182 317 
251 282 318 
295 251 318 
253 281 319 
311 253 319 
270 255 321 
255 305 321 
184 202 322 
202 288 322 
301 277 323 
277 308 323 
200 254 324 
294 200 324 
291 296 325 
308 291 325 
296 303 325 
299 246 327 
307 201 328 
218 216 329 
292 218 329 
282 292 329 
318 282 329 
288 242 330 
242 306 330 
306 311 331 
311 319 331 
330 306 331 
303 294 333 
294 324 333 
246 241 334 
241 270 334 
239 229 334 
229 283 334 
270 321 334 
283 246 334 
324 254 335 
333 324 335 
323 308 336 
256 268 337 
314 256 337 
192 184 338 
184 322 338 
254 192 338 
322 335 338 
335 254 338 
325 303 339 
303 333 339 
298 186 340 
229 239 341 
302 229 341 
281 299 342 
319 281 342 
178 320 343 
234 178 343 
287 279 344 
279 314 344 
322 288 345 
335 322 345 
288 330 345 
308 325 346 
336 308 346 
275 304 347 
305 275 347 
304 287 347 
287 344 347 
116 108 348 
289 116 348 
268 295 349 
337 268 349 
176 156 350 
156 234 350 
234 343 350 
244 235 351 
280 244 351 
201 197 352 
328 201 352 
297 168 353 
138 171 354 
222 138 354 
333 335 355 
335 345 355 
225 197 356 
197 274 356 
258 301 357 
313 258 357 
301 323 357 
323 336 357 
325 339 358 
346 325 358 
339 333 359 
333 355 359 
334 321 360 
321 305 360 
305 347 360 
347 344 360 
345 330 361 
355 345 361 
252 239 362 
239 334 362 
274 252 362 
356 274 362 
334 360 362 
219 176 363 
295 318 364 
349 295 364 
331 319 365 
319 342 365 
239 252 366 
341 239 366 
246 266 367 
327 246 367 
177 187 368 
203 177 368 
264 203 368 
187 276 368 
314 337 369 
344 314 369 
360 344 369 
362 360 369 
358 339 370 
359 355 371 
355 361 371 
330 331 372 
331 365 372 
361 330 372 
299 327 373 
342 299 373 
327 367 373 
371 361 374 
361 372 374 
162 215 375 
238 221 376 
259 238 376 
248 259 376 
216 212 377 
329 216 377 
212 222 377 
318 329 377 
364 318 377 
336 346 378 
357 336 378 
352 197 379 
356 362 380 
337 349 380 
369 337 380 
362 369 380 
170 186 381 
186 195 381 
195 225 381 
225 326 381 
154 180 382 
290 154 382 
339 359 383 
370 339 383 
359 371 383 
206 313 384 
313 357 384 
141 142 385 
326 225 386 
225 356 386 
356 380 386 
380 349 386 
381 326 386 
266 302 387 
367 266 387 
302 341 387 
180 267 388 
382 180 388 
290 382 388 
371 374 389 
383 371 389 
139 141 390 
141 385 390 
340 186 391 
346 358 392 
378 346 392 
353 168 393 
176 350 394 
363 176 394 
235 262 395 
351 235 395 
372 365 396 
374 372 396 
357 378 397 
384 357 397 
136 139 398 
139 390 398 
349 364 399 
386 349 399 
381 386 399 
171 170 400 
170 381 400 
354 171 400 
381 399 400 
252 285 401 
366 252 401 
285 307 401 
358 370 402 
392 358 402 
397 378 403 
389 374 404 
374 396 404 
365 342 405 
342 373 405 
396 365 405 
370 383 406 
402 370 406 
383 389 406 
267 269 407 
388 267 407 
182 290 407 
290 388 407 
130 129 408 
222 354 409 
354 400 409 
377 222 409 
364 377 409 
399 364 409 
400 399 409 
198 213 410 
213 248 410 
248 376 410 
378 392 411 
403 378 411 
389 404 412 
406 389 412 
265 247 413 
392 402 414 
411 392 414 
186 189 415 
391 186 415 
247 206 416 
206 384 416 
413 247 416 
384 397 416 
402 406 417 
414 402 417 
406 412 417 
404 396 418 
396 405 418 
262 289 419 
395 262 419 
373 367 420 
367 387 420 
289 348 425 
348 424 425 
419 289 425 
300 309 426 
412 404 429 
404 418 429 
73 82 431 
430 73 431 
82 71 431 
417 412 432 
412 429 432 
273 286 433 
426 273 433 
310 300 433 
300 426 433 
227 226 434 
149 232 434 
316 149 434 
232 227 434 
271 273 435 
273 426 435 
309 315 435 
426 309 435 
315 317 436 
317 182 436 
182 407 436 
269 271 436 
407 269 436 
271 435 436 
435 315 436 
405 373 437 
373 420 437 
418 405 437 
341 366 438 
387 341 438 
413 416 439 
264 368 440 
433 286 441 
310 433 441 
168 169 442 
393 168 442 
320 265 444 
265 413 444 
343 320 444 
221 224 446 
376 221 446 
410 376 446 
286 264 447 
264 440 447 
441 286 447 
310 441 447 
397 403 448 
416 397 448 
439 416 448 
445 439 448 
432 429 449 
136 135 450 
57 52 451 
52 51 452 
451 52 452 
51 74 452 
71 57 453 
57 451 453 
71 453 454 
445 448 455 
66 71 456 
71 454 456 
1 2 457 
0 1 457 
456 0 457 
66 456 457 
429 418 458 
418 437 458 
449 429 458 
307 328 460 
401 307 460 
328 352 460 
352 379 460 
2 5 461 
457 2 461 
5 6 461 
66 457 461 
197 298 462 
379 197 462 
298 340 462 
461 6 464 
66 461 464 
403 411 466 
448 403 466 
455 448 466 
455 466 467 
423 421 468 
6 7 469 
464 6 469 
66 464 469 
7 9 472 
469 7 472 
97 66 472 
66 469 472 
411 414 474 
466 411 474 
467 466 474 
350 343 475 
394 350 475 
343 444 475 
467 474 476 
437 420 477 
458 437 477 
449 458 478 
458 477 478 
472 9 479 
97 472 479 
198 410 480 
410 446 480 
413 439 483 
444 413 483 
475 444 483 
363 394 485 
465 363 485 
414 417 486 
474 414 486 
417 432 486 
476 474 486 
430 431 487 
420 387 488 
387 438 488 
477 420 488 
9 10 489 
479 9 489 
119 97 489 
97 479 489 
224 280 490 
446 224 490 
470 480 490 
480 446 490 
439 445 492 
483 439 492 
421 422 493 
468 421 493 
468 493 496 
496 493 498 
431 71 499 
487 431 499 
71 66 499 
66 487 499 
424 423 500 
423 468 500 
366 401 501 
438 366 501 
401 460 501 
10 119 502 
119 489 502 
489 10 502 
432 449 503 
486 432 503 
476 486 503 
495 476 503 
445 455 504 
492 445 504 
478 477 505 
477 488 505 
189 210 506 
415 189 506 
210 233 506 
233 257 506 
280 351 508 
490 280 508 
473 470 508 
470 490 508 
425 424 509 
424 500 509 
169 138 510 
442 169 510 
507 509 513 
509 500 513 
455 467 515 
504 455 515 
468 496 516 
500 468 516 
513 500 516 
351 395 517 
508 351 517 
484 473 517 
473 508 517 
487 66 518 
66 97 518 
428 430 519 
430 487 519 
419 425 520 
425 509 520 
507 494 520 
509 507 520 
149 142 521 
395 419 522 
517 395 522 
419 520 522 
494 484 522 
520 494 522 
484 517 522 
422 427 523 
493 422 523 
427 428 523 
428 519 523 
498 493 523 
394 475 524 
485 394 524 
475 483 524 
483 492 524 
135 133 525 
450 135 525 
518 97 527 
487 518 527 
519 487 527 
488 438 528 
438 501 528 
505 488 528 
492 504 529 
524 492 529 
485 524 529 
467 476 530 
515 467 530 
476 495 530 
141 139 531 
449 478 532 
503 449 532 
495 503 532 
526 495 532 
368 276 534 
440 368 534 
504 515 535 
529 504 535 
527 97 537 
498 523 537 
523 519 537 
519 527 537 
515 530 538 
535 515 538 
495 526 539 
530 495 539 
510 138 540 
182 158 544 
538 530 545 
158 227 546 
544 158 546 
478 505 548 
532 478 548 
526 532 548 
543 526 548 
531 512 550 
141 531 550 
539 526 551 
526 543 551 
465 463 552 
132 130 554 
133 132 554 
525 133 554 
530 539 556 
545 530 556 
257 297 557 
506 257 557 
297 353 557 
353 393 557 
393 442 557 
460 379 559 
379 462 559 
340 391 560 
462 340 560 
391 415 560 
415 506 560 
559 462 560 
506 557 560 
465 485 561 
485 529 561 
529 535 561 
232 149 562 
227 232 562 
546 227 562 
511 546 562 
463 465 563 
465 561 563 
535 538 563 
561 535 563 
505 528 564 
548 505 564 
543 548 564 
558 543 564 
536 491 566 
566 491 567 
142 141 568 
521 142 568 
536 521 568 
141 550 568 
491 536 568 
550 491 568 
471 463 569 
463 563 569 
538 545 569 
563 538 569 
566 567 570 
539 551 571 
556 539 571 
551 543 572 
543 558 572 
482 497 573 
542 549 573 
149 521 575 
511 562 575 
562 149 575 
566 511 575 
521 536 575 
536 566 575 
375 215 576 
310 447 577 
447 440 577 
440 534 577 
497 514 578 
573 497 578 
547 542 578 
542 573 578 
497 482 579 
569 545 579 
482 471 579 
471 569 579 
491 550 580 
550 512 580 
512 459 580 
459 547 580 
547 553 580 
553 567 580 
567 491 580 
544 546 582 
546 511 582 
511 566 582 
566 570 582 
139 136 583 
136 450 583 
512 531 583 
531 139 583 
553 547 584 
514 533 584 
578 514 584 
547 578 584 
582 570 585 
544 582 585 
528 501 586 
564 528 586 
558 564 586 
581 558 586 
540 138 587 
442 510 588 
557 442 588 
510 540 588 
540 587 588 
501 460 590 
460 559 590 
581 586 590 
586 501 590 
581 590 591 
590 559 591 
514 497 592 
497 579 592 
545 556 592 
579 545 592 
571 551 593 
551 572 593 
154 290 594 
572 558 595 
558 581 595 
162 375 596 
375 576 596 
567 553 597 
533 541 597 
584 533 597 
553 584 597 
290 182 598 
182 544 598 
544 585 598 
482 573 599 
573 549 599 
138 162 600 
587 138 600 
162 565 600 
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533 514 602 
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565 162 603 
162 596 603 
600 565 604 
588 587 604 
587 600 604 
459 443 605 
542 547 605 
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541 555 606 
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560 557 610 
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588 604 610 
215 180 611 
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180 154 611 
154 594 611 
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541 533 612 
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602 571 612 
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552 463 632 
332 188 633 
129 127 634 
408 129 634 
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421 423 637 
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16 70 642 
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73 430 643 
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70 73 643 
642 70 643 
48 172 645 
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174 181 645 
130 408 646 
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624 629 647 
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629 627 649 
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219 363 651 
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181 219 659 
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722 3 724 
456 454 725 
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453 719 725 
3 0 725 
724 3 725 
0 456 725 
719 713 725 
713 724 725 
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