1 //========================================================================
2 //
3 // PDF417Barcode.cc
4 //
5 // Copyright 2018 Glyph & Cog, LLC
6 //
7 //========================================================================
8 
9 #include <aconf.h>
10 
11 #ifdef USE_GCC_PRAGMAS
12 #pragma implementation
13 #endif
14 
15 #include <math.h>
16 #include "gtypes.h"
17 #include "GString.h"
18 #include "GList.h"
19 #include "Error.h"
20 #include "PDF417Barcode.h"
21 
22 //------------------------------------------------------------------------
23 
24 #define maxDataCodewords 928
25 #define maxErrorCorrectionLevel 8
26 #define maxErrorCorrectionCodewords (1 << (maxErrorCorrectionLevel + 1))
27 
28 // mode latches
29 #define textModeLatch         900
30 #define byteModeLatchMult6    924
31 #define byteModeLatchNonMult6 901
32 #define byteModeShift         913
33 #define numericModeLatch      902
34 
35 // text submode latches and shifts
36 #define textAlphaLowerLatch 27
37 #define textAlphaMixedLatch 28
38 #define textAlphaPuncShift  29
39 #define textLowerAlphaShift 27
40 #define textLowerMixedLatch 28
41 #define textLowerPuncShift  29
42 #define textMixedPuncLatch  25
43 #define textMixedLowerLatch 27
44 #define textMixedAlphaLatch 28
45 #define textMixedPuncShift  29
46 #define textPuncAlphaLatch  29
47 
48 #define textSubmodeAlpha      0
49 #define textSubmodeLower      1
50 #define textSubmodeMixed      2
51 #define textSubmodePunc       3
52 #define textSubmodeAlphaShift 4
53 #define textSubmodePuncShift  5
54 
55 // textCompaction[char][submode] = base-30 value
56 //                                 or 30 if char isn't available
57 static char textCompaction[128][4] = {
58   { 30, 30, 30, 30 },  //   0
59   { 30, 30, 30, 30 },  //   1
60   { 30, 30, 30, 30 },  //   2
61   { 30, 30, 30, 30 },  //   3
62   { 30, 30, 30, 30 },  //   4
63   { 30, 30, 30, 30 },  //   5
64   { 30, 30, 30, 30 },  //   6
65   { 30, 30, 30, 30 },  //   7
66   { 30, 30, 30, 30 },  //   8
67   { 30, 30, 12, 12 },  //   9
68   { 30, 30, 30, 15 },  //  10
69   { 30, 30, 30, 30 },  //  11
70   { 30, 30, 30, 30 },  //  12
71   { 30, 30, 11, 11 },  //  13
72   { 30, 30, 30, 30 },  //  14
73   { 30, 30, 30, 30 },  //  15
74   { 30, 30, 30, 30 },  //  16
75   { 30, 30, 30, 30 },  //  17
76   { 30, 30, 30, 30 },  //  18
77   { 30, 30, 30, 30 },  //  19
78   { 30, 30, 30, 30 },  //  20
79   { 30, 30, 30, 30 },  //  21
80   { 30, 30, 30, 30 },  //  22
81   { 30, 30, 30, 30 },  //  23
82   { 30, 30, 30, 30 },  //  24
83   { 30, 30, 30, 30 },  //  25
84   { 30, 30, 30, 30 },  //  26
85   { 30, 30, 30, 30 },  //  27
86   { 30, 30, 30, 30 },  //  28
87   { 30, 30, 30, 30 },  //  29
88   { 30, 30, 30, 30 },  //  30
89   { 30, 30, 30, 30 },  //  31
90   { 26, 26, 26, 30 },  //  32
91   { 30, 30, 30, 10 },  //  33
92   { 30, 30, 30, 20 },  //  34
93   { 30, 30, 15, 30 },  //  35
94   { 30, 30, 18, 18 },  //  36
95   { 30, 30, 21, 30 },  //  37
96   { 30, 30, 10, 30 },  //  38
97   { 30, 30, 30, 28 },  //  39
98   { 30, 30, 30, 23 },  //  40
99   { 30, 30, 30, 24 },  //  41
100   { 30, 30, 22, 22 },  //  42
101   { 30, 30, 20, 30 },  //  43
102   { 30, 30, 13, 13 },  //  44
103   { 30, 30, 16, 16 },  //  45
104   { 30, 30, 17, 17 },  //  46
105   { 30, 30, 19, 19 },  //  47
106   { 30, 30,  0, 30 },  //  48
107   { 30, 30,  1, 30 },  //  49
108   { 30, 30,  2, 30 },  //  50
109   { 30, 30,  3, 30 },  //  51
110   { 30, 30,  4, 30 },  //  52
111   { 30, 30,  5, 30 },  //  53
112   { 30, 30,  6, 30 },  //  54
113   { 30, 30,  7, 30 },  //  55
114   { 30, 30,  8, 30 },  //  56
115   { 30, 30,  9, 30 },  //  57
116   { 30, 30, 14, 14 },  //  58
117   { 30, 30, 30,  0 },  //  59
118   { 30, 30, 30,  1 },  //  60
119   { 30, 30, 23, 30 },  //  61
120   { 30, 30, 30,  2 },  //  62
121   { 30, 30, 30, 25 },  //  63
122   { 30, 30, 30,  3 },  //  64
123   {  0, 30, 30, 30 },  //  65
124   {  1, 30, 30, 30 },  //  66
125   {  2, 30, 30, 30 },  //  67
126   {  3, 30, 30, 30 },  //  68
127   {  4, 30, 30, 30 },  //  69
128   {  5, 30, 30, 30 },  //  70
129   {  6, 30, 30, 30 },  //  71
130   {  7, 30, 30, 30 },  //  72
131   {  8, 30, 30, 30 },  //  73
132   {  9, 30, 30, 30 },  //  74
133   { 10, 30, 30, 30 },  //  75
134   { 11, 30, 30, 30 },  //  76
135   { 12, 30, 30, 30 },  //  77
136   { 13, 30, 30, 30 },  //  78
137   { 14, 30, 30, 30 },  //  79
138   { 15, 30, 30, 30 },  //  80
139   { 16, 30, 30, 30 },  //  81
140   { 17, 30, 30, 30 },  //  82
141   { 18, 30, 30, 30 },  //  83
142   { 19, 30, 30, 30 },  //  84
143   { 20, 30, 30, 30 },  //  85
144   { 21, 30, 30, 30 },  //  86
145   { 22, 30, 30, 30 },  //  87
146   { 23, 30, 30, 30 },  //  88
147   { 24, 30, 30, 30 },  //  89
148   { 25, 30, 30, 30 },  //  90
149   { 30, 30, 30,  4 },  //  91
150   { 30, 30, 30,  5 },  //  92
151   { 30, 30, 30,  6 },  //  93
152   { 30, 30, 24, 30 },  //  94
153   { 30, 30, 30,  7 },  //  95
154   { 30, 30, 30,  8 },  //  96
155   { 30,  0, 30, 30 },  //  97
156   { 30,  1, 30, 30 },  //  98
157   { 30,  2, 30, 30 },  //  30
158   { 30,  3, 30, 30 },  // 100
159   { 30,  4, 30, 30 },  // 101
160   { 30,  5, 30, 30 },  // 102
161   { 30,  6, 30, 30 },  // 103
162   { 30,  7, 30, 30 },  // 104
163   { 30,  8, 30, 30 },  // 105
164   { 30,  9, 30, 30 },  // 106
165   { 30, 10, 30, 30 },  // 107
166   { 30, 11, 30, 30 },  // 108
167   { 30, 12, 30, 30 },  // 109
168   { 30, 13, 30, 30 },  // 110
169   { 30, 14, 30, 30 },  // 111
170   { 30, 15, 30, 30 },  // 112
171   { 30, 16, 30, 30 },  // 113
172   { 30, 17, 30, 30 },  // 114
173   { 30, 18, 30, 30 },  // 115
174   { 30, 19, 30, 30 },  // 116
175   { 30, 20, 30, 30 },  // 117
176   { 30, 21, 30, 30 },  // 118
177   { 30, 22, 30, 30 },  // 119
178   { 30, 23, 30, 30 },  // 120
179   { 30, 24, 30, 30 },  // 121
180   { 30, 25, 30, 30 },  // 122
181   { 30, 30, 30, 26 },  // 123
182   { 30, 30, 30, 21 },  // 124
183   { 30, 30, 30, 27 },  // 125
184   { 30, 30, 30,  9 },  // 126
185   { 30, 30, 30, 30 }   // 127
186 };
187 
188 static int errorCorrectionCoeffLevel0[2] = {
189   27, 917
190 };
191 
192 static int errorCorrectionCoeffLevel1[4] = {
193   522, 568, 723, 809
194 };
195 
196 static int errorCorrectionCoeffLevel2[8] = {
197   237, 308, 436, 284, 646, 653, 428, 379
198 };
199 
200 static int errorCorrectionCoeffLevel3[16] = {
201   274, 562, 232, 755, 599, 524, 801, 132,
202   295, 116, 442, 428, 295,  42, 176,  65
203 };
204 
205 static int errorCorrectionCoeffLevel4[32] = {
206   361, 575, 922, 525, 176, 586, 640, 321,
207   536, 742, 677, 742, 687, 284, 193, 517,
208   273, 494, 263, 147, 593, 800, 571, 320,
209   803, 133, 231, 390, 685, 330,  63, 410
210 };
211 
212 static int errorCorrectionCoeffLevel5[64] = {
213   539, 422,   6,  93, 862, 771, 453, 106,
214   610, 287, 107, 505, 733, 877, 381, 612,
215   723, 476, 462, 172, 430, 609, 858, 822,
216   543, 376, 511, 400, 672, 762, 283, 184,
217   440,  35, 519,  31, 460, 594, 225, 535,
218   517, 352, 605, 158, 651, 201, 488, 502,
219   648, 733, 717,  83, 404,  97, 280, 771,
220   840, 629,   4, 381, 843, 623, 264, 543
221 };
222 
223 static int errorCorrectionCoeffLevel6[128] = {
224   521, 310, 864, 547, 858, 580, 296, 379,
225    53, 779, 897, 444, 400, 925, 749, 415,
226   822,  93, 217, 208, 928, 244, 583, 620,
227   246, 148, 447, 631, 292, 908, 490, 704,
228   516, 258, 457, 907, 594, 723, 674, 292,
229   272,  96, 684, 432, 686, 606, 860, 569,
230   193, 219, 129, 186, 236, 287, 192, 775,
231   278, 173,  40, 379, 712, 463, 646, 776,
232   171, 491, 297, 763, 156, 732,  95, 270,
233   447,  90, 507,  48, 228, 821, 808, 898,
234   784, 663, 627, 378, 382, 262, 380, 602,
235   754, 336,  89, 614,  87, 432, 670, 616,
236   157, 374, 242, 726, 600, 269, 375, 898,
237   845, 454, 354, 130, 814, 587, 804,  34,
238   211, 330, 539, 297, 827, 865,  37, 517,
239   834, 315, 550,  86, 801,   4, 108, 539
240 };
241 
242 static int errorCorrectionCoeffLevel7[256] = {
243   524, 894,  75, 766, 882, 857,  74, 204,
244    82, 586, 708, 250, 905, 786, 138, 720,
245   858, 194, 311, 913, 275, 190, 375, 850,
246   438, 733, 194, 280, 201, 280, 828, 757,
247   710, 814, 919,  89,  68, 569,  11, 204,
248   796, 605, 540, 913, 801, 700, 799, 137,
249   439, 418, 592, 668, 353, 859, 370, 694,
250   325, 240, 216, 257, 284, 549, 209, 884,
251   315,  70, 329, 793, 490, 274, 877, 162,
252   749, 812, 684, 461, 334, 376, 849, 521,
253   307, 291, 803, 712,  19, 358, 399, 908,
254   103, 511,  51,   8, 517, 225, 289, 470,
255   637, 731,  66, 255, 917, 269, 463, 830,
256   730, 433, 848, 585, 136, 538, 906,  90,
257     2, 290, 743, 199, 655, 903, 329,  49,
258   802, 580, 355, 588, 188, 462,  10, 134,
259   628, 320, 479, 130, 739,  71, 263, 318,
260   374, 601, 192, 605, 142, 673, 687, 234,
261   722, 384, 177, 752, 607, 640, 455, 193,
262   689, 707, 805, 641,  48,  60, 732, 621,
263   895, 544, 261, 852, 655, 309, 697, 755,
264   756,  60, 231, 773, 434, 421, 726, 528,
265   503, 118,  49, 795,  32, 144, 500, 238,
266   836, 394, 280, 566, 319,   9, 647, 550,
267    73, 914, 342, 126,  32, 681, 331, 792,
268   620,  60, 609, 441, 180, 791, 893, 754,
269   605, 383, 228, 749, 760, 213,  54, 297,
270   134,  54, 834, 299, 922, 191, 910, 532,
271   609, 829, 189,  20, 167,  29, 872, 449,
272    83, 402,  41, 656, 505, 579, 481, 173,
273   404, 251, 688,  95, 497, 555, 642, 543,
274   307, 159, 924, 558, 648,  55, 497,  10
275 };
276 
277 static int errorCorrectionCoeffLevel8[512] = {
278   352,  77, 373, 504,  35, 599, 428, 207,
279   409, 574, 118, 498, 285, 380, 350, 492,
280   197, 265, 920, 155, 914, 299, 229, 643,
281   294, 871, 306,  88,  87, 193, 352, 781,
282   846,  75, 327, 520, 435, 543, 203, 666,
283   249, 346, 781, 621, 640, 268, 794, 534,
284   539, 781, 408, 390, 644, 102, 476, 499,
285   290, 632, 545,  37, 858, 916, 552,  41,
286   542, 289, 122, 272, 383, 800, 485,  98,
287   752, 472, 761, 107, 784, 860, 658, 741,
288   290, 204, 681, 407, 855,  85,  99,  62,
289   482, 180,  20, 297, 451, 593, 913, 142,
290   808, 684, 287, 536, 561,  76, 653, 899,
291   729, 567, 744, 390, 513, 192, 516, 258,
292   240, 518, 794, 395, 768, 848,  51, 610,
293   384, 168, 190, 826, 328, 596, 786, 303,
294   570, 381, 415, 641, 156, 237, 151, 429,
295   531, 207, 676, 710,  89, 168, 304, 402,
296    40, 708, 575, 162, 864, 229,  65, 861,
297   841, 512, 164, 477, 221,  92, 358, 785,
298   288, 357, 850, 836, 827, 736, 707,  94,
299     8, 494, 114, 521,   2, 499, 851, 543,
300   152, 729, 771,  95, 248, 361, 578, 323,
301   856, 797, 289,  51, 684, 466, 533, 820,
302   669,  45, 902, 452, 167, 342, 244, 173,
303    35, 463, 651,  51, 699, 591, 452, 578,
304    37, 124, 298, 332, 552,  43, 427, 119,
305   662, 777, 475, 850, 764, 364, 578, 911,
306   283, 711, 472, 420, 245, 288, 594, 394,
307   511, 327, 589, 777, 699, 688,  43, 408,
308   842, 383, 721, 521, 560, 644, 714, 559,
309    62, 145, 873, 663, 713, 159, 672, 729,
310   624,  59, 193, 417, 158, 209, 563, 564,
311   343, 693, 109, 608, 563, 365, 181, 772,
312   677, 310, 248, 353, 708, 410, 579, 870,
313   617, 841, 632, 860, 289, 536,  35, 777,
314   618, 586, 424, 833,  77, 597, 346, 269,
315   757, 632, 695, 751, 331, 247, 184,  45,
316   787, 680,  18,  66, 407, 369,  54, 492,
317   228, 613, 830, 922, 437, 519, 644, 905,
318   789, 420, 305, 441, 207, 300, 892, 827,
319   141, 537, 381, 662, 513,  56, 252, 341,
320   242, 797, 838, 837, 720, 224, 307, 631,
321    61,  87, 560, 310, 756, 665, 397, 808,
322   851, 309, 473, 795, 378,  31, 647, 915,
323   459, 806, 590, 731, 425, 216, 548, 249,
324   321, 881, 699, 535, 673, 782, 210, 815,
325   905, 303, 843, 922, 281,  73, 469, 791,
326   660, 162, 498, 308, 155, 422, 907, 817,
327   187,  62,  16, 425, 535, 336, 286, 437,
328   375, 273, 610, 296, 183, 923, 116, 667,
329   751, 353,  62, 366, 691, 379, 687, 842,
330    37, 357, 720, 742, 330,   5,  39, 923,
331   311, 424, 242, 749, 321,  54, 669, 316,
332   342, 299, 534, 105, 667, 488, 640, 672,
333   576, 540, 316, 486, 721, 610,  46, 656,
334   447, 171, 616, 464, 190, 531, 297, 321,
335   762, 752, 533, 175, 134,  14, 381, 433,
336   717,  45, 111,  20, 596, 284, 736, 138,
337   646, 411, 877, 669, 141, 919,  45, 780,
338   407, 164, 332, 899, 165, 726, 600, 325,
339   498, 655, 357, 752, 768, 223, 849, 647,
340    63, 310, 863, 251, 366, 304, 282, 738,
341   675, 410, 389, 244,  31, 121, 303, 263
342 };
343 
344 static int *errorCorrectionCoeff[maxErrorCorrectionLevel + 1] = {
345   errorCorrectionCoeffLevel0,
346   errorCorrectionCoeffLevel1,
347   errorCorrectionCoeffLevel2,
348   errorCorrectionCoeffLevel3,
349   errorCorrectionCoeffLevel4,
350   errorCorrectionCoeffLevel5,
351   errorCorrectionCoeffLevel6,
352   errorCorrectionCoeffLevel7,
353   errorCorrectionCoeffLevel8
354 };
355 
356 #define startPatternLength 8
357 static char startPattern[startPatternLength] = {8,1,1,1,1,1,1,3};
358 
359 #define stopPatternLength 9
360 static char stopPattern[stopPatternLength] = {7,1,1,3,1,1,1,2,1};
361 
362 #define patternLength 8
363 
364 // patterns[codeword][cluster][element] = element (bar or space) width
365 static char patterns[929][3][patternLength] = {
366   {{3,1,1,1,1,1,3,6}, {5,1,1,1,1,1,2,5}, {2,1,1,1,1,1,5,5}},
367   {{4,1,1,1,1,1,4,4}, {6,1,1,1,1,1,3,3}, {3,1,1,1,1,1,6,3}},
368   {{5,1,1,1,1,1,5,2}, {4,1,1,1,1,2,1,6}, {1,1,1,1,1,2,4,6}},
369   {{3,1,1,1,1,2,3,5}, {5,1,1,1,1,2,2,4}, {2,1,1,1,1,2,5,4}},
370   {{4,1,1,1,1,2,4,3}, {6,1,1,1,1,2,3,2}, {3,1,1,1,1,2,6,2}},
371   {{5,1,1,1,1,2,5,1}, {4,1,1,1,1,3,1,5}, {1,1,1,1,1,3,4,5}},
372   {{2,1,1,1,1,3,2,6}, {5,1,1,1,1,3,2,3}, {2,1,1,1,1,3,5,3}},
373   {{3,1,1,1,1,3,3,4}, {6,1,1,1,1,3,3,1}, {3,1,1,1,1,3,6,1}},
374   {{2,1,1,1,1,4,2,5}, {4,1,1,1,1,4,1,4}, {1,1,1,1,1,4,4,4}},
375   {{1,1,1,1,1,5,1,6}, {5,1,1,1,1,4,2,2}, {2,1,1,1,1,4,5,2}},
376   {{2,1,1,1,1,5,2,4}, {4,1,1,1,1,5,1,3}, {1,1,1,1,1,5,4,3}},
377   {{1,1,1,1,1,6,1,5}, {5,1,1,1,1,5,2,1}, {6,1,1,1,2,1,1,4}},
378   {{2,1,1,1,2,1,3,6}, {4,1,1,1,1,6,1,2}, {1,1,1,1,2,1,5,5}},
379   {{3,1,1,1,2,1,4,4}, {4,1,1,1,2,1,2,5}, {2,1,1,1,2,1,6,3}},
380   {{4,1,1,1,2,1,5,2}, {5,1,1,1,2,1,3,3}, {6,1,1,1,2,2,1,3}},
381   {{2,1,1,1,2,2,3,5}, {6,1,1,1,2,1,4,1}, {1,1,1,1,2,2,5,4}},
382   {{3,1,1,1,2,2,4,3}, {3,1,1,1,2,2,1,6}, {2,1,1,1,2,2,6,2}},
383   {{4,1,1,1,2,2,5,1}, {4,1,1,1,2,2,2,4}, {6,1,1,1,2,3,1,2}},
384   {{1,1,1,1,2,3,2,6}, {5,1,1,1,2,2,3,2}, {1,1,1,1,2,3,5,3}},
385   {{2,1,1,1,2,3,3,4}, {3,1,1,1,2,3,1,5}, {2,1,1,1,2,3,6,1}},
386   {{1,1,1,1,2,4,2,5}, {4,1,1,1,2,3,2,3}, {6,1,1,1,2,4,1,1}},
387   {{1,1,1,1,3,1,3,6}, {5,1,1,1,2,3,3,1}, {1,1,1,1,2,4,5,2}},
388   {{2,1,1,1,3,1,4,4}, {3,1,1,1,2,4,1,4}, {5,1,1,1,3,1,1,4}},
389   {{3,1,1,1,3,1,5,2}, {4,1,1,1,2,4,2,2}, {6,1,1,1,3,1,2,2}},
390   {{1,1,1,1,3,2,3,5}, {3,1,1,1,2,5,1,3}, {1,1,1,1,3,1,6,3}},
391   {{2,1,1,1,3,2,4,3}, {4,1,1,1,2,5,2,1}, {5,1,1,1,3,2,1,3}},
392   {{3,1,1,1,3,2,5,1}, {3,1,1,1,2,6,1,2}, {6,1,1,1,3,2,2,1}},
393   {{1,1,1,1,3,3,3,4}, {3,1,1,1,3,1,2,5}, {1,1,1,1,3,2,6,2}},
394   {{2,1,1,1,3,3,4,2}, {4,1,1,1,3,1,3,3}, {5,1,1,1,3,3,1,2}},
395   {{1,1,1,1,4,1,4,4}, {5,1,1,1,3,1,4,1}, {1,1,1,1,3,3,6,1}},
396   {{2,1,1,1,4,1,5,2}, {2,1,1,1,3,2,1,6}, {5,1,1,1,3,4,1,1}},
397   {{1,1,1,1,4,2,4,3}, {3,1,1,1,3,2,2,4}, {4,1,1,1,4,1,1,4}},
398   {{2,1,1,1,4,2,5,1}, {4,1,1,1,3,2,3,2}, {5,1,1,1,4,1,2,2}},
399   {{1,1,1,1,5,1,5,2}, {2,1,1,1,3,3,1,5}, {4,1,1,1,4,2,1,3}},
400   {{5,1,1,1,6,1,1,1}, {3,1,1,1,3,3,2,3}, {5,1,1,1,4,2,2,1}},
401   {{3,1,1,2,1,1,3,5}, {4,1,1,1,3,3,3,1}, {4,1,1,1,4,3,1,2}},
402   {{4,1,1,2,1,1,4,3}, {2,1,1,1,3,4,1,4}, {4,1,1,1,4,4,1,1}},
403   {{5,1,1,2,1,1,5,1}, {3,1,1,1,3,4,2,2}, {3,1,1,1,5,1,1,4}},
404   {{2,1,1,2,1,2,2,6}, {2,1,1,1,3,5,1,3}, {4,1,1,1,5,1,2,2}},
405   {{3,1,1,2,1,2,3,4}, {3,1,1,1,3,5,2,1}, {3,1,1,1,5,2,1,3}},
406   {{4,1,1,2,1,2,4,2}, {2,1,1,1,3,6,1,2}, {4,1,1,1,5,2,2,1}},
407   {{2,1,1,2,1,3,2,5}, {2,1,1,1,4,1,2,5}, {3,1,1,1,5,3,1,2}},
408   {{3,1,1,2,1,3,3,3}, {3,1,1,1,4,1,3,3}, {3,1,1,1,5,4,1,1}},
409   {{1,1,1,2,1,4,1,6}, {4,1,1,1,4,1,4,1}, {2,1,1,1,6,1,1,4}},
410   {{2,1,1,2,1,4,2,4}, {1,1,1,1,4,2,1,6}, {3,1,1,1,6,1,2,2}},
411   {{3,1,1,2,1,4,3,2}, {2,1,1,1,4,2,2,4}, {2,1,1,1,6,2,1,3}},
412   {{1,1,1,2,1,5,1,5}, {3,1,1,1,4,2,3,2}, {3,1,1,1,6,2,2,1}},
413   {{2,1,1,2,1,5,2,3}, {1,1,1,1,4,3,1,5}, {2,1,1,1,6,3,1,2}},
414   {{1,1,1,2,1,6,1,4}, {2,1,1,1,4,3,2,3}, {1,1,1,2,1,1,4,6}},
415   {{2,1,1,2,2,1,3,5}, {3,1,1,1,4,3,3,1}, {2,1,1,2,1,1,5,4}},
416   {{3,1,1,2,2,1,4,3}, {1,1,1,1,4,4,1,4}, {3,1,1,2,1,1,6,2}},
417   {{4,1,1,2,2,1,5,1}, {2,1,1,1,4,4,2,2}, {1,1,1,2,1,2,4,5}},
418   {{1,1,1,2,2,2,2,6}, {1,1,1,1,4,5,1,3}, {2,1,1,2,1,2,5,3}},
419   {{2,1,1,2,2,2,3,4}, {2,1,1,1,4,5,2,1}, {3,1,1,2,1,2,6,1}},
420   {{3,1,1,2,2,2,4,2}, {1,1,1,1,5,1,2,5}, {1,1,1,2,1,3,4,4}},
421   {{1,1,1,2,2,3,2,5}, {2,1,1,1,5,1,3,3}, {2,1,1,2,1,3,5,2}},
422   {{2,1,1,2,2,3,3,3}, {3,1,1,1,5,1,4,1}, {1,1,1,2,1,4,4,3}},
423   {{3,1,1,2,2,3,4,1}, {1,1,1,1,5,2,2,4}, {2,1,1,2,1,4,5,1}},
424   {{1,1,1,2,2,4,2,4}, {2,1,1,1,5,2,3,2}, {1,1,1,2,1,5,4,2}},
425   {{2,1,1,2,2,4,3,2}, {1,1,1,1,5,3,2,3}, {6,1,1,2,2,1,1,3}},
426   {{1,1,1,2,3,1,3,5}, {2,1,1,1,5,3,3,1}, {1,1,1,2,2,1,5,4}},
427   {{2,1,1,2,3,1,4,3}, {1,1,1,1,5,4,2,2}, {2,1,1,2,2,1,6,2}},
428   {{3,1,1,2,3,1,5,1}, {1,1,1,1,6,1,3,3}, {6,1,1,2,2,2,1,2}},
429   {{1,1,1,2,3,2,3,4}, {2,1,1,1,6,1,4,1}, {1,1,1,2,2,2,5,3}},
430   {{2,1,1,2,3,2,4,2}, {1,1,1,1,6,2,3,2}, {2,1,1,2,2,2,6,1}},
431   {{1,1,1,2,3,3,3,3}, {1,1,1,1,6,3,3,1}, {6,1,1,2,2,3,1,1}},
432   {{2,1,1,2,3,3,4,1}, {4,1,1,2,1,1,1,6}, {1,1,1,2,2,3,5,2}},
433   {{1,1,1,2,4,1,4,3}, {5,1,1,2,1,1,2,4}, {1,1,1,2,2,4,5,1}},
434   {{2,1,1,2,4,1,5,1}, {6,1,1,2,1,1,3,2}, {5,1,1,2,3,1,1,3}},
435   {{1,1,1,2,4,2,4,2}, {4,1,1,2,1,2,1,5}, {6,1,1,2,3,1,2,1}},
436   {{1,1,1,2,4,3,4,1}, {5,1,1,2,1,2,2,3}, {1,1,1,2,3,1,6,2}},
437   {{2,1,1,3,1,1,2,6}, {6,1,1,2,1,2,3,1}, {5,1,1,2,3,2,1,2}},
438   {{3,1,1,3,1,1,3,4}, {4,1,1,2,1,3,1,4}, {1,1,1,2,3,2,6,1}},
439   {{4,1,1,3,1,1,4,2}, {5,1,1,2,1,3,2,2}, {5,1,1,2,3,3,1,1}},
440   {{2,1,1,3,1,2,2,5}, {4,1,1,2,1,4,1,3}, {4,1,1,2,4,1,1,3}},
441   {{3,1,1,3,1,2,3,3}, {5,1,1,2,1,4,2,1}, {5,1,1,2,4,1,2,1}},
442   {{4,1,1,3,1,2,4,1}, {4,1,1,2,1,5,1,2}, {4,1,1,2,4,2,1,2}},
443   {{1,1,1,3,1,3,1,6}, {4,1,1,2,1,6,1,1}, {4,1,1,2,4,3,1,1}},
444   {{2,1,1,3,1,3,2,4}, {3,1,1,2,2,1,1,6}, {3,1,1,2,5,1,1,3}},
445   {{3,1,1,3,1,3,3,2}, {4,1,1,2,2,1,2,4}, {4,1,1,2,5,1,2,1}},
446   {{1,1,1,3,1,4,1,5}, {5,1,1,2,2,1,3,2}, {3,1,1,2,5,2,1,2}},
447   {{2,1,1,3,1,4,2,3}, {3,1,1,2,2,2,1,5}, {3,1,1,2,5,3,1,1}},
448   {{1,1,1,3,1,5,1,4}, {4,1,1,2,2,2,2,3}, {2,1,1,2,6,1,1,3}},
449   {{1,1,1,3,1,6,1,3}, {5,1,1,2,2,2,3,1}, {3,1,1,2,6,1,2,1}},
450   {{1,1,1,3,2,1,2,6}, {3,1,1,2,2,3,1,4}, {2,1,1,2,6,2,1,2}},
451   {{2,1,1,3,2,1,3,4}, {4,1,1,2,2,3,2,2}, {2,1,1,2,6,3,1,1}},
452   {{3,1,1,3,2,1,4,2}, {3,1,1,2,2,4,1,3}, {1,1,1,3,1,1,4,5}},
453   {{1,1,1,3,2,2,2,5}, {4,1,1,2,2,4,2,1}, {2,1,1,3,1,1,5,3}},
454   {{2,1,1,3,2,2,3,3}, {3,1,1,2,2,5,1,2}, {3,1,1,3,1,1,6,1}},
455   {{3,1,1,3,2,2,4,1}, {3,1,1,2,2,6,1,1}, {1,1,1,3,1,2,4,4}},
456   {{1,1,1,3,2,3,2,4}, {2,1,1,2,3,1,1,6}, {2,1,1,3,1,2,5,2}},
457   {{2,1,1,3,2,3,3,2}, {3,1,1,2,3,1,2,4}, {1,1,1,3,1,3,4,3}},
458   {{1,1,1,3,2,4,2,3}, {4,1,1,2,3,1,3,2}, {2,1,1,3,1,3,5,1}},
459   {{1,1,1,3,2,5,2,2}, {2,1,1,2,3,2,1,5}, {1,1,1,3,1,4,4,2}},
460   {{1,1,1,3,3,1,3,4}, {3,1,1,2,3,2,2,3}, {1,1,1,3,1,5,4,1}},
461   {{2,1,1,3,3,1,4,2}, {4,1,1,2,3,2,3,1}, {6,1,1,3,2,1,1,2}},
462   {{1,1,1,3,3,2,3,3}, {2,1,1,2,3,3,1,4}, {1,1,1,3,2,1,5,3}},
463   {{2,1,1,3,3,2,4,1}, {3,1,1,2,3,3,2,2}, {2,1,1,3,2,1,6,1}},
464   {{1,1,1,3,3,3,3,2}, {2,1,1,2,3,4,1,3}, {6,1,1,3,2,2,1,1}},
465   {{1,1,1,3,4,1,4,2}, {3,1,1,2,3,4,2,1}, {1,1,1,3,2,2,5,2}},
466   {{2,1,1,4,1,1,2,5}, {2,1,1,2,3,5,1,2}, {1,1,1,3,2,3,5,1}},
467   {{3,1,1,4,1,1,3,3}, {2,1,1,2,3,6,1,1}, {5,1,1,3,3,1,1,2}},
468   {{4,1,1,4,1,1,4,1}, {1,1,1,2,4,1,1,6}, {1,1,1,3,3,1,6,1}},
469   {{1,1,1,4,1,2,1,6}, {2,1,1,2,4,1,2,4}, {5,1,1,3,3,2,1,1}},
470   {{2,1,1,4,1,2,2,4}, {3,1,1,2,4,1,3,2}, {4,1,1,3,4,1,1,2}},
471   {{3,1,1,4,1,2,3,2}, {1,1,1,2,4,2,1,5}, {4,1,1,3,4,2,1,1}},
472   {{1,1,1,4,1,3,1,5}, {2,1,1,2,4,2,2,3}, {3,1,1,3,5,1,1,2}},
473   {{2,1,1,4,1,3,2,3}, {3,1,1,2,4,2,3,1}, {3,1,1,3,5,2,1,1}},
474   {{3,1,1,4,1,3,3,1}, {1,1,1,2,4,3,1,4}, {2,1,1,3,6,1,1,2}},
475   {{1,1,1,4,1,4,1,4}, {2,1,1,2,4,3,2,2}, {2,1,1,3,6,2,1,1}},
476   {{2,1,1,4,1,4,2,2}, {1,1,1,2,4,4,1,3}, {1,1,1,4,1,1,4,4}},
477   {{1,1,1,4,1,5,1,3}, {2,1,1,2,4,4,2,1}, {2,1,1,4,1,1,5,2}},
478   {{2,1,1,4,1,5,2,1}, {1,1,1,2,4,5,1,2}, {1,1,1,4,1,2,4,3}},
479   {{1,1,1,4,2,1,2,5}, {1,1,1,2,5,1,2,4}, {2,1,1,4,1,2,5,1}},
480   {{2,1,1,4,2,1,3,3}, {2,1,1,2,5,1,3,2}, {1,1,1,4,1,3,4,2}},
481   {{3,1,1,4,2,1,4,1}, {1,1,1,2,5,2,2,3}, {1,1,1,4,1,4,4,1}},
482   {{1,1,1,4,2,2,2,4}, {2,1,1,2,5,2,3,1}, {6,1,1,4,2,1,1,1}},
483   {{2,1,1,4,2,2,3,2}, {1,1,1,2,5,3,2,2}, {1,1,1,4,2,1,5,2}},
484   {{1,1,1,4,2,3,2,3}, {1,1,1,2,5,4,2,1}, {1,1,1,4,2,2,5,1}},
485   {{2,1,1,4,2,3,3,1}, {1,1,1,2,6,1,3,2}, {5,1,1,4,3,1,1,1}},
486   {{1,1,1,4,2,4,2,2}, {1,1,1,2,6,2,3,1}, {4,1,1,4,4,1,1,1}},
487   {{1,1,1,4,2,5,2,1}, {4,1,1,3,1,1,1,5}, {3,1,1,4,5,1,1,1}},
488   {{2,1,1,4,3,1,4,1}, {5,1,1,3,1,1,2,3}, {1,1,1,5,1,1,4,3}},
489   {{1,1,1,4,3,3,3,1}, {6,1,1,3,1,1,3,1}, {2,1,1,5,1,1,5,1}},
490   {{1,1,1,5,1,1,1,6}, {4,1,1,3,1,2,1,4}, {1,1,1,5,1,2,4,2}},
491   {{2,1,1,5,1,1,2,4}, {5,1,1,3,1,2,2,2}, {1,1,1,5,1,3,4,1}},
492   {{3,1,1,5,1,1,3,2}, {4,1,1,3,1,3,1,3}, {1,1,1,5,2,1,5,1}},
493   {{1,1,1,5,1,2,1,5}, {5,1,1,3,1,3,2,1}, {1,1,1,6,1,1,4,2}},
494   {{2,1,1,5,1,2,2,3}, {4,1,1,3,1,4,1,2}, {1,1,1,6,1,2,4,1}},
495   {{3,1,1,5,1,2,3,1}, {4,1,1,3,1,5,1,1}, {1,2,1,1,1,1,4,6}},
496   {{1,1,1,5,1,3,1,4}, {3,1,1,3,2,1,1,5}, {2,2,1,1,1,1,5,4}},
497   {{2,1,1,5,1,3,2,2}, {4,1,1,3,2,1,2,3}, {3,2,1,1,1,1,6,2}},
498   {{1,1,1,5,1,4,1,3}, {5,1,1,3,2,1,3,1}, {1,2,1,1,1,2,4,5}},
499   {{2,1,1,5,1,4,2,1}, {3,1,1,3,2,2,1,4}, {2,2,1,1,1,2,5,3}},
500   {{1,1,1,5,1,5,1,2}, {4,1,1,3,2,2,2,2}, {3,2,1,1,1,2,6,1}},
501   {{1,1,1,5,2,1,2,4}, {3,1,1,3,2,3,1,3}, {1,2,1,1,1,3,4,4}},
502   {{1,1,1,5,2,2,2,3}, {4,1,1,3,2,3,2,1}, {2,2,1,1,1,3,5,2}},
503   {{1,1,1,5,2,3,2,2}, {3,1,1,3,2,4,1,2}, {1,2,1,1,1,4,4,3}},
504   {{1,1,1,6,1,1,1,5}, {3,1,1,3,2,5,1,1}, {2,2,1,1,1,4,5,1}},
505   {{3,1,1,6,1,1,3,1}, {2,1,1,3,3,1,1,5}, {1,2,1,1,1,5,4,2}},
506   {{2,1,1,6,1,2,2,2}, {3,1,1,3,3,1,2,3}, {6,2,1,1,2,1,1,3}},
507   {{2,1,1,6,1,3,2,1}, {4,1,1,3,3,1,3,1}, {1,2,1,1,2,1,5,4}},
508   {{1,1,1,6,1,5,1,1}, {2,1,1,3,3,2,1,4}, {2,2,1,1,2,1,6,2}},
509   {{3,2,1,1,1,1,3,5}, {3,1,1,3,3,2,2,2}, {6,2,1,1,2,2,1,2}},
510   {{4,2,1,1,1,1,4,3}, {2,1,1,3,3,3,1,3}, {1,2,1,1,2,2,5,3}},
511   {{5,2,1,1,1,1,5,1}, {3,1,1,3,3,3,2,1}, {2,2,1,1,2,2,6,1}},
512   {{2,2,1,1,1,2,2,6}, {2,1,1,3,3,4,1,2}, {6,2,1,1,2,3,1,1}},
513   {{3,2,1,1,1,2,3,4}, {2,1,1,3,3,5,1,1}, {1,2,1,1,2,3,5,2}},
514   {{4,2,1,1,1,2,4,2}, {1,1,1,3,4,1,1,5}, {1,2,1,1,2,4,5,1}},
515   {{2,2,1,1,1,3,2,5}, {2,1,1,3,4,1,2,3}, {5,2,1,1,3,1,1,3}},
516   {{3,2,1,1,1,3,3,3}, {3,1,1,3,4,1,3,1}, {6,2,1,1,3,1,2,1}},
517   {{4,2,1,1,1,3,4,1}, {1,1,1,3,4,2,1,4}, {1,2,1,1,3,1,6,2}},
518   {{1,2,1,1,1,4,1,6}, {2,1,1,3,4,2,2,2}, {5,2,1,1,3,2,1,2}},
519   {{2,2,1,1,1,4,2,4}, {1,1,1,3,4,3,1,3}, {1,2,1,1,3,2,6,1}},
520   {{1,2,1,1,1,5,1,5}, {2,1,1,3,4,3,2,1}, {5,2,1,1,3,3,1,1}},
521   {{2,2,1,1,2,1,3,5}, {1,1,1,3,4,4,1,2}, {4,2,1,1,4,1,1,3}},
522   {{3,2,1,1,2,1,4,3}, {1,1,1,3,4,5,1,1}, {5,2,1,1,4,1,2,1}},
523   {{4,2,1,1,2,1,5,1}, {1,1,1,3,5,1,2,3}, {4,2,1,1,4,2,1,2}},
524   {{1,2,1,1,2,2,2,6}, {2,1,1,3,5,1,3,1}, {4,2,1,1,4,3,1,1}},
525   {{2,2,1,1,2,2,3,4}, {1,1,1,3,5,2,2,2}, {3,2,1,1,5,1,1,3}},
526   {{3,2,1,1,2,2,4,2}, {1,1,1,3,5,3,2,1}, {4,2,1,1,5,1,2,1}},
527   {{1,2,1,1,2,3,2,5}, {1,1,1,3,6,1,3,1}, {3,2,1,1,5,2,1,2}},
528   {{2,2,1,1,2,3,3,3}, {4,1,1,4,1,1,1,4}, {3,2,1,1,5,3,1,1}},
529   {{1,2,1,1,2,4,2,4}, {5,1,1,4,1,1,2,2}, {2,2,1,1,6,1,1,3}},
530   {{1,2,1,1,2,5,2,3}, {4,1,1,4,1,2,1,3}, {3,2,1,1,6,1,2,1}},
531   {{1,2,1,1,3,1,3,5}, {5,1,1,4,1,2,2,1}, {2,2,1,1,6,2,1,2}},
532   {{2,2,1,1,3,1,4,3}, {4,1,1,4,1,3,1,2}, {2,2,1,1,6,3,1,1}},
533   {{3,2,1,1,3,1,5,1}, {4,1,1,4,1,4,1,1}, {2,1,2,1,1,1,4,5}},
534   {{1,2,1,1,3,2,3,4}, {3,1,1,4,2,1,1,4}, {3,1,2,1,1,1,5,3}},
535   {{2,2,1,1,3,2,4,2}, {4,1,1,4,2,1,2,2}, {4,1,2,1,1,1,6,1}},
536   {{1,2,1,1,3,3,3,3}, {3,1,1,4,2,2,1,3}, {1,1,2,1,1,2,3,6}},
537   {{1,2,1,1,3,4,3,2}, {4,1,1,4,2,2,2,1}, {2,1,2,1,1,2,4,4}},
538   {{1,2,1,1,4,1,4,3}, {3,1,1,4,2,3,1,2}, {3,1,2,1,1,2,5,2}},
539   {{2,2,1,1,4,1,5,1}, {3,1,1,4,2,4,1,1}, {1,1,2,1,1,3,3,5}},
540   {{1,2,1,1,4,2,4,2}, {2,1,1,4,3,1,1,4}, {2,1,2,1,1,3,4,3}},
541   {{1,2,1,1,5,1,5,1}, {3,1,1,4,3,1,2,2}, {3,1,2,1,1,3,5,1}},
542   {{3,1,2,1,1,1,2,6}, {2,1,1,4,3,2,1,3}, {1,1,2,1,1,4,3,4}},
543   {{4,1,2,1,1,1,3,4}, {3,1,1,4,3,2,2,1}, {2,1,2,1,1,4,4,2}},
544   {{5,1,2,1,1,1,4,2}, {2,1,1,4,3,3,1,2}, {1,1,2,1,1,5,3,3}},
545   {{3,1,2,1,1,2,2,5}, {2,1,1,4,3,4,1,1}, {2,1,2,1,1,5,4,1}},
546   {{4,1,2,1,1,2,3,3}, {1,1,1,4,4,1,1,4}, {1,1,2,1,1,6,3,2}},
547   {{5,1,2,1,1,2,4,1}, {2,1,1,4,4,1,2,2}, {1,2,1,2,1,1,4,5}},
548   {{2,1,2,1,1,3,1,6}, {1,1,1,4,4,2,1,3}, {2,2,1,2,1,1,5,3}},
549   {{3,1,2,1,1,3,2,4}, {2,1,1,4,4,2,2,1}, {3,2,1,2,1,1,6,1}},
550   {{4,1,2,1,1,3,3,2}, {1,1,1,4,4,3,1,2}, {1,1,2,1,2,1,4,5}},
551   {{2,1,2,1,1,4,1,5}, {1,1,1,4,4,4,1,1}, {1,2,1,2,1,2,4,4}},
552   {{3,1,2,1,1,4,2,3}, {1,1,1,4,5,1,2,2}, {2,2,1,2,1,2,5,2}},
553   {{4,1,2,1,1,4,3,1}, {1,1,1,4,5,2,2,1}, {1,1,2,1,2,2,4,4}},
554   {{2,1,2,1,1,5,1,4}, {4,1,1,5,1,1,1,3}, {2,1,2,1,2,2,5,2}},
555   {{3,1,2,1,1,5,2,2}, {5,1,1,5,1,1,2,1}, {2,2,1,2,1,3,5,1}},
556   {{2,2,1,2,1,1,2,6}, {4,1,1,5,1,2,1,2}, {1,1,2,1,2,3,4,3}},
557   {{3,2,1,2,1,1,3,4}, {4,1,1,5,1,3,1,1}, {1,2,1,2,1,4,4,2}},
558   {{4,2,1,2,1,1,4,2}, {3,1,1,5,2,1,1,3}, {1,1,2,1,2,4,4,2}},
559   {{2,1,2,1,2,1,2,6}, {4,1,1,5,2,1,2,1}, {1,2,1,2,1,5,4,1}},
560   {{2,2,1,2,1,2,2,5}, {3,1,1,5,2,2,1,2}, {1,1,2,1,2,5,4,1}},
561   {{3,2,1,2,1,2,3,3}, {3,1,1,5,2,3,1,1}, {6,2,1,2,2,1,1,2}},
562   {{4,2,1,2,1,2,4,1}, {2,1,1,5,3,1,1,3}, {1,2,1,2,2,1,5,3}},
563   {{2,1,2,1,2,2,2,5}, {3,1,1,5,3,1,2,1}, {2,2,1,2,2,1,6,1}},
564   {{3,1,2,1,2,2,3,3}, {2,1,1,5,3,2,1,2}, {6,1,2,1,3,1,1,2}},
565   {{4,1,2,1,2,2,4,1}, {2,1,1,5,3,3,1,1}, {6,2,1,2,2,2,1,1}},
566   {{1,1,2,1,2,3,1,6}, {1,1,1,5,4,1,1,3}, {1,1,2,1,3,1,5,3}},
567   {{1,2,1,2,1,4,1,5}, {2,1,1,5,4,1,2,1}, {1,2,1,2,2,2,5,2}},
568   {{2,2,1,2,1,4,2,3}, {1,1,1,5,4,2,1,2}, {6,1,2,1,3,2,1,1}},
569   {{3,2,1,2,1,4,3,1}, {1,1,1,5,4,3,1,1}, {1,1,2,1,3,2,5,2}},
570   {{1,1,2,1,2,4,1,5}, {4,1,1,6,1,1,1,2}, {1,2,1,2,2,3,5,1}},
571   {{2,1,2,1,2,4,2,3}, {4,1,1,6,1,2,1,1}, {1,1,2,1,3,3,5,1}},
572   {{1,1,2,1,2,5,1,4}, {3,1,1,6,2,1,1,2}, {5,2,1,2,3,1,1,2}},
573   {{1,2,1,2,2,1,2,6}, {3,1,1,6,2,2,1,1}, {1,2,1,2,3,1,6,1}},
574   {{2,2,1,2,2,1,3,4}, {2,1,1,6,3,1,1,2}, {5,1,2,1,4,1,1,2}},
575   {{3,2,1,2,2,1,4,2}, {2,1,1,6,3,2,1,1}, {5,2,1,2,3,2,1,1}},
576   {{1,1,2,1,3,1,2,6}, {4,2,1,1,1,1,1,6}, {1,1,2,1,4,1,6,1}},
577   {{1,2,1,2,2,2,2,5}, {5,2,1,1,1,1,2,4}, {5,1,2,1,4,2,1,1}},
578   {{2,2,1,2,2,2,3,3}, {6,2,1,1,1,1,3,2}, {4,2,1,2,4,1,1,2}},
579   {{3,2,1,2,2,2,4,1}, {4,2,1,1,1,2,1,5}, {4,1,2,1,5,1,1,2}},
580   {{1,1,2,1,3,2,2,5}, {5,2,1,1,1,2,2,3}, {4,2,1,2,4,2,1,1}},
581   {{2,1,2,1,3,2,3,3}, {6,2,1,1,1,2,3,1}, {4,1,2,1,5,2,1,1}},
582   {{3,1,2,1,3,2,4,1}, {4,2,1,1,1,3,1,4}, {3,2,1,2,5,1,1,2}},
583   {{1,1,2,1,3,3,2,4}, {5,2,1,1,1,3,2,2}, {3,1,2,1,6,1,1,2}},
584   {{1,2,1,2,2,4,2,3}, {4,2,1,1,1,4,1,3}, {3,2,1,2,5,2,1,1}},
585   {{1,1,2,1,3,4,2,3}, {5,2,1,1,1,4,2,1}, {3,1,2,1,6,2,1,1}},
586   {{1,2,1,2,3,1,3,4}, {4,2,1,1,1,5,1,2}, {2,2,1,2,6,1,1,2}},
587   {{2,2,1,2,3,1,4,2}, {4,2,1,1,1,6,1,1}, {2,2,1,2,6,2,1,1}},
588   {{1,1,2,1,4,1,3,4}, {3,2,1,1,2,1,1,6}, {1,1,2,2,1,1,3,6}},
589   {{1,2,1,2,3,2,3,3}, {4,2,1,1,2,1,2,4}, {2,1,2,2,1,1,4,4}},
590   {{2,2,1,2,3,2,4,1}, {5,2,1,1,2,1,3,2}, {3,1,2,2,1,1,5,2}},
591   {{1,1,2,1,4,2,3,3}, {3,2,1,1,2,2,1,5}, {1,1,2,2,1,2,3,5}},
592   {{2,1,2,1,4,2,4,1}, {4,2,1,1,2,2,2,3}, {2,1,2,2,1,2,4,3}},
593   {{1,1,2,1,4,3,3,2}, {5,2,1,1,2,2,3,1}, {3,1,2,2,1,2,5,1}},
594   {{1,2,1,2,4,1,4,2}, {3,2,1,1,2,3,1,4}, {1,1,2,2,1,3,3,4}},
595   {{1,1,2,1,5,1,4,2}, {4,2,1,1,2,3,2,2}, {2,1,2,2,1,3,4,2}},
596   {{1,2,1,2,4,2,4,1}, {3,2,1,1,2,4,1,3}, {1,1,2,2,1,4,3,3}},
597   {{1,1,2,1,5,2,4,1}, {4,2,1,1,2,4,2,1}, {2,1,2,2,1,4,4,1}},
598   {{3,1,2,2,1,1,2,5}, {3,2,1,1,2,5,1,2}, {1,1,2,2,1,5,3,2}},
599   {{4,1,2,2,1,1,3,3}, {3,2,1,1,2,6,1,1}, {1,1,2,2,1,6,3,1}},
600   {{5,1,2,2,1,1,4,1}, {2,2,1,1,3,1,1,6}, {1,2,1,3,1,1,4,4}},
601   {{2,1,2,2,1,2,1,6}, {3,2,1,1,3,1,2,4}, {2,2,1,3,1,1,5,2}},
602   {{3,1,2,2,1,2,2,4}, {4,2,1,1,3,1,3,2}, {1,1,2,2,2,1,4,4}},
603   {{4,1,2,2,1,2,3,2}, {2,2,1,1,3,2,1,5}, {1,2,1,3,1,2,4,3}},
604   {{2,1,2,2,1,3,1,5}, {3,2,1,1,3,2,2,3}, {2,2,1,3,1,2,5,1}},
605   {{3,1,2,2,1,3,2,3}, {4,2,1,1,3,2,3,1}, {1,1,2,2,2,2,4,3}},
606   {{4,1,2,2,1,3,3,1}, {2,2,1,1,3,3,1,4}, {2,1,2,2,2,2,5,1}},
607   {{2,1,2,2,1,4,1,4}, {3,2,1,1,3,3,2,2}, {1,1,2,2,2,3,4,2}},
608   {{3,1,2,2,1,4,2,2}, {2,2,1,1,3,4,1,3}, {1,2,1,3,1,4,4,1}},
609   {{2,1,2,2,1,5,1,3}, {3,2,1,1,3,4,2,1}, {1,1,2,2,2,4,4,1}},
610   {{2,1,2,2,1,6,1,2}, {2,2,1,1,3,5,1,2}, {6,2,1,3,2,1,1,1}},
611   {{2,2,1,3,1,1,2,5}, {2,2,1,1,3,6,1,1}, {1,2,1,3,2,1,5,2}},
612   {{3,2,1,3,1,1,3,3}, {1,2,1,1,4,1,1,6}, {6,1,2,2,3,1,1,1}},
613   {{4,2,1,3,1,1,4,1}, {2,2,1,1,4,1,2,4}, {1,1,2,2,3,1,5,2}},
614   {{2,1,2,2,2,1,2,5}, {3,2,1,1,4,1,3,2}, {1,2,1,3,2,2,5,1}},
615   {{2,2,1,3,1,2,2,4}, {1,2,1,1,4,2,1,5}, {1,1,2,2,3,2,5,1}},
616   {{3,2,1,3,1,2,3,2}, {2,2,1,1,4,2,2,3}, {5,2,1,3,3,1,1,1}},
617   {{1,1,2,2,2,2,1,6}, {3,2,1,1,4,2,3,1}, {5,1,2,2,4,1,1,1}},
618   {{1,2,1,3,1,3,1,5}, {1,2,1,1,4,3,1,4}, {4,2,1,3,4,1,1,1}},
619   {{3,1,2,2,2,2,3,2}, {2,2,1,1,4,3,2,2}, {4,1,2,2,5,1,1,1}},
620   {{3,2,1,3,1,3,3,1}, {1,2,1,1,4,4,1,3}, {3,2,1,3,5,1,1,1}},
621   {{1,1,2,2,2,3,1,5}, {2,2,1,1,4,4,2,1}, {3,1,2,2,6,1,1,1}},
622   {{1,2,1,3,1,4,1,4}, {1,2,1,1,4,5,1,2}, {2,2,1,3,6,1,1,1}},
623   {{2,2,1,3,1,4,2,2}, {1,2,1,1,5,1,2,4}, {1,1,2,3,1,1,3,5}},
624   {{1,1,2,2,2,4,1,4}, {2,2,1,1,5,1,3,2}, {2,1,2,3,1,1,4,3}},
625   {{2,1,2,2,2,4,2,2}, {1,2,1,1,5,2,2,3}, {3,1,2,3,1,1,5,1}},
626   {{2,2,1,3,1,5,2,1}, {2,2,1,1,5,2,3,1}, {1,1,2,3,1,2,3,4}},
627   {{1,2,1,3,1,6,1,2}, {1,2,1,1,5,3,2,2}, {2,1,2,3,1,2,4,2}},
628   {{1,2,1,3,2,1,2,5}, {1,2,1,1,5,4,2,1}, {1,1,2,3,1,3,3,3}},
629   {{2,2,1,3,2,1,3,3}, {1,2,1,1,6,1,3,2}, {2,1,2,3,1,3,4,1}},
630   {{3,2,1,3,2,1,4,1}, {1,2,1,1,6,2,3,1}, {1,1,2,3,1,4,3,2}},
631   {{1,1,2,2,3,1,2,5}, {5,1,2,1,1,1,1,5}, {1,1,2,3,1,5,3,1}},
632   {{1,2,1,3,2,2,2,4}, {6,1,2,1,1,1,2,3}, {1,2,1,4,1,1,4,3}},
633   {{2,2,1,3,2,2,3,2}, {1,1,2,1,1,1,6,4}, {2,2,1,4,1,1,5,1}},
634   {{1,1,2,2,3,2,2,4}, {5,1,2,1,1,2,1,4}, {1,1,2,3,2,1,4,3}},
635   {{2,1,2,2,3,2,3,2}, {6,1,2,1,1,2,2,2}, {1,2,1,4,1,2,4,2}},
636   {{2,2,1,3,2,3,3,1}, {1,1,2,1,1,2,6,3}, {1,1,2,3,2,2,4,2}},
637   {{1,1,2,2,3,3,2,3}, {5,1,2,1,1,3,1,3}, {1,2,1,4,1,3,4,1}},
638   {{1,2,1,3,2,4,2,2}, {6,1,2,1,1,3,2,1}, {1,1,2,3,2,3,4,1}},
639   {{1,2,1,3,2,5,2,1}, {1,1,2,1,1,3,6,2}, {1,2,1,4,2,1,5,1}},
640   {{1,2,1,3,3,1,3,3}, {5,1,2,1,1,4,1,2}, {1,1,2,3,3,1,5,1}},
641   {{2,2,1,3,3,1,4,1}, {5,1,2,1,1,5,1,1}, {1,1,2,4,1,1,3,4}},
642   {{1,1,2,2,4,1,3,3}, {4,2,1,2,1,1,1,5}, {2,1,2,4,1,1,4,2}},
643   {{1,2,1,3,3,2,3,2}, {5,2,1,2,1,1,2,3}, {1,1,2,4,1,2,3,3}},
644   {{1,1,2,2,4,2,3,2}, {6,2,1,2,1,1,3,1}, {2,1,2,4,1,2,4,1}},
645   {{1,2,1,3,3,3,3,1}, {4,1,2,1,2,1,1,5}, {1,1,2,4,1,3,3,2}},
646   {{1,1,2,2,4,3,3,1}, {4,2,1,2,1,2,1,4}, {1,1,2,4,1,4,3,1}},
647   {{1,1,2,2,5,1,4,1}, {6,1,2,1,2,1,3,1}, {1,2,1,5,1,1,4,2}},
648   {{2,1,2,3,1,1,1,6}, {4,1,2,1,2,2,1,4}, {1,1,2,4,2,1,4,2}},
649   {{3,1,2,3,1,1,2,4}, {5,1,2,1,2,2,2,2}, {1,2,1,5,1,2,4,1}},
650   {{4,1,2,3,1,1,3,2}, {5,2,1,2,1,3,2,1}, {1,1,2,4,2,2,4,1}},
651   {{2,1,2,3,1,2,1,5}, {4,1,2,1,2,3,1,3}, {1,1,2,5,1,1,3,3}},
652   {{3,1,2,3,1,2,2,3}, {4,2,1,2,1,4,1,2}, {2,1,2,5,1,1,4,1}},
653   {{4,1,2,3,1,2,3,1}, {4,1,2,1,2,4,1,2}, {1,1,2,5,1,2,3,2}},
654   {{2,1,2,3,1,3,1,4}, {4,2,1,2,1,5,1,1}, {1,1,2,5,1,3,3,1}},
655   {{3,1,2,3,1,3,2,2}, {4,1,2,1,2,5,1,1}, {1,2,1,6,1,1,4,1}},
656   {{2,1,2,3,1,4,1,3}, {3,2,1,2,2,1,1,5}, {1,1,2,5,2,1,4,1}},
657   {{3,1,2,3,1,4,2,1}, {4,2,1,2,2,1,2,3}, {1,1,2,6,1,1,3,2}},
658   {{2,1,2,3,1,5,1,2}, {5,2,1,2,2,1,3,1}, {1,1,2,6,1,2,3,1}},
659   {{2,1,2,3,1,6,1,1}, {3,1,2,1,3,1,1,5}, {1,3,1,1,1,1,4,5}},
660   {{1,2,1,4,1,1,1,6}, {3,2,1,2,2,2,1,4}, {2,3,1,1,1,1,5,3}},
661   {{2,2,1,4,1,1,2,4}, {4,2,1,2,2,2,2,2}, {3,3,1,1,1,1,6,1}},
662   {{3,2,1,4,1,1,3,2}, {3,1,2,1,3,2,1,4}, {1,3,1,1,1,2,4,4}},
663   {{1,1,2,3,2,1,1,6}, {4,1,2,1,3,2,2,2}, {2,3,1,1,1,2,5,2}},
664   {{1,2,1,4,1,2,1,5}, {4,2,1,2,2,3,2,1}, {1,3,1,1,1,3,4,3}},
665   {{2,2,1,4,1,2,2,3}, {3,1,2,1,3,3,1,3}, {2,3,1,1,1,3,5,1}},
666   {{3,2,1,4,1,2,3,1}, {3,2,1,2,2,4,1,2}, {1,3,1,1,1,4,4,2}},
667   {{1,1,2,3,2,2,1,5}, {3,1,2,1,3,4,1,2}, {1,3,1,1,1,5,4,1}},
668   {{2,1,2,3,2,2,2,3}, {3,2,1,2,2,5,1,1}, {6,3,1,1,2,1,1,2}},
669   {{3,1,2,3,2,2,3,1}, {3,1,2,1,3,5,1,1}, {1,3,1,1,2,1,5,3}},
670   {{1,1,2,3,2,3,1,4}, {2,2,1,2,3,1,1,5}, {2,3,1,1,2,1,6,1}},
671   {{1,2,1,4,1,4,1,3}, {3,2,1,2,3,1,2,3}, {6,3,1,1,2,2,1,1}},
672   {{2,2,1,4,1,4,2,1}, {4,2,1,2,3,1,3,1}, {1,3,1,1,2,2,5,2}},
673   {{1,1,2,3,2,4,1,3}, {2,1,2,1,4,1,1,5}, {1,3,1,1,2,3,5,1}},
674   {{2,1,2,3,2,4,2,1}, {2,2,1,2,3,2,1,4}, {5,3,1,1,3,1,1,2}},
675   {{1,1,2,3,2,5,1,2}, {3,2,1,2,3,2,2,2}, {1,3,1,1,3,1,6,1}},
676   {{1,2,1,4,2,1,2,4}, {2,1,2,1,4,2,1,4}, {5,3,1,1,3,2,1,1}},
677   {{2,2,1,4,2,1,3,2}, {3,1,2,1,4,2,2,2}, {4,3,1,1,4,1,1,2}},
678   {{1,1,2,3,3,1,2,4}, {3,2,1,2,3,3,2,1}, {4,3,1,1,4,2,1,1}},
679   {{1,2,1,4,2,2,2,3}, {2,1,2,1,4,3,1,3}, {3,3,1,1,5,1,1,2}},
680   {{2,2,1,4,2,2,3,1}, {2,2,1,2,3,4,1,2}, {3,3,1,1,5,2,1,1}},
681   {{1,1,2,3,3,2,2,3}, {2,1,2,1,4,4,1,2}, {2,3,1,1,6,1,1,2}},
682   {{2,1,2,3,3,2,3,1}, {2,2,1,2,3,5,1,1}, {2,3,1,1,6,2,1,1}},
683   {{1,1,2,3,3,3,2,2}, {2,1,2,1,4,5,1,1}, {1,2,2,1,1,1,3,6}},
684   {{1,2,1,4,2,4,2,1}, {1,2,1,2,4,1,1,5}, {2,2,2,1,1,1,4,4}},
685   {{1,1,2,3,3,4,2,1}, {2,2,1,2,4,1,2,3}, {3,2,2,1,1,1,5,2}},
686   {{1,1,2,3,4,1,3,2}, {3,2,1,2,4,1,3,1}, {1,2,2,1,1,2,3,5}},
687   {{1,1,2,3,4,2,3,1}, {1,1,2,1,5,1,1,5}, {2,2,2,1,1,2,4,3}},
688   {{2,1,2,4,1,1,1,5}, {1,2,1,2,4,2,1,4}, {3,2,2,1,1,2,5,1}},
689   {{3,1,2,4,1,1,2,3}, {2,2,1,2,4,2,2,2}, {1,2,2,1,1,3,3,4}},
690   {{4,1,2,4,1,1,3,1}, {1,1,2,1,5,2,1,4}, {2,2,2,1,1,3,4,2}},
691   {{2,1,2,4,1,2,1,4}, {2,1,2,1,5,2,2,2}, {1,2,2,1,1,4,3,3}},
692   {{3,1,2,4,1,2,2,2}, {2,2,1,2,4,3,2,1}, {2,2,2,1,1,4,4,1}},
693   {{2,1,2,4,1,3,1,3}, {1,1,2,1,5,3,1,3}, {1,2,2,1,1,5,3,2}},
694   {{3,1,2,4,1,3,2,1}, {1,2,1,2,4,4,1,2}, {1,2,2,1,1,6,3,1}},
695   {{2,1,2,4,1,4,1,2}, {1,1,2,1,5,4,1,2}, {1,3,1,2,1,1,4,4}},
696   {{2,1,2,4,1,5,1,1}, {1,2,1,2,4,5,1,1}, {2,3,1,2,1,1,5,2}},
697   {{1,2,1,5,1,1,1,5}, {1,2,1,2,5,1,2,3}, {1,2,2,1,2,1,4,4}},
698   {{2,2,1,5,1,1,2,3}, {2,2,1,2,5,1,3,1}, {1,3,1,2,1,2,4,3}},
699   {{3,2,1,5,1,1,3,1}, {1,1,2,1,6,1,2,3}, {2,3,1,2,1,2,5,1}},
700   {{1,1,2,4,2,1,1,5}, {1,2,1,2,5,2,2,2}, {1,2,2,1,2,2,4,3}},
701   {{1,2,1,5,1,2,1,4}, {1,1,2,1,6,2,2,2}, {2,2,2,1,2,2,5,1}},
702   {{2,2,1,5,1,2,2,2}, {1,2,1,2,5,3,2,1}, {1,2,2,1,2,3,4,2}},
703   {{1,1,2,4,2,2,1,4}, {1,1,2,1,6,3,2,1}, {1,3,1,2,1,4,4,1}},
704   {{2,1,2,4,2,2,2,2}, {1,2,1,2,6,1,3,1}, {1,2,2,1,2,4,4,1}},
705   {{2,2,1,5,1,3,2,1}, {5,1,2,2,1,1,1,4}, {6,3,1,2,2,1,1,1}},
706   {{1,1,2,4,2,3,1,3}, {6,1,2,2,1,1,2,2}, {1,3,1,2,2,1,5,2}},
707   {{1,2,1,5,1,4,1,2}, {1,1,2,2,1,1,6,3}, {6,2,2,1,3,1,1,1}},
708   {{1,1,2,4,2,4,1,2}, {5,1,2,2,1,2,1,3}, {1,2,2,1,3,1,5,2}},
709   {{1,2,1,5,1,5,1,1}, {6,1,2,2,1,2,2,1}, {1,3,1,2,2,2,5,1}},
710   {{1,2,1,5,2,1,2,3}, {1,1,2,2,1,2,6,2}, {1,2,2,1,3,2,5,1}},
711   {{1,1,2,4,3,1,2,3}, {5,1,2,2,1,3,1,2}, {5,3,1,2,3,1,1,1}},
712   {{1,1,2,4,3,2,2,2}, {1,1,2,2,1,3,6,1}, {5,2,2,1,4,1,1,1}},
713   {{1,1,2,4,3,3,2,1}, {5,1,2,2,1,4,1,1}, {4,3,1,2,4,1,1,1}},
714   {{3,1,2,5,1,1,2,2}, {4,2,1,3,1,1,1,4}, {4,2,2,1,5,1,1,1}},
715   {{3,1,2,5,1,2,2,1}, {5,2,1,3,1,1,2,2}, {3,3,1,2,5,1,1,1}},
716   {{2,1,2,5,1,4,1,1}, {4,1,2,2,2,1,1,4}, {3,2,2,1,6,1,1,1}},
717   {{2,2,1,6,1,1,2,2}, {4,2,1,3,1,2,1,3}, {2,3,1,2,6,1,1,1}},
718   {{1,2,1,6,1,2,1,3}, {5,2,1,3,1,2,2,1}, {2,1,3,1,1,1,3,5}},
719   {{1,1,2,5,2,2,1,3}, {4,1,2,2,2,2,1,3}, {3,1,3,1,1,1,4,3}},
720   {{1,1,2,5,2,3,1,2}, {5,1,2,2,2,2,2,1}, {4,1,3,1,1,1,5,1}},
721   {{1,1,2,5,2,4,1,1}, {4,1,2,2,2,3,1,2}, {1,1,3,1,1,2,2,6}},
722   {{2,3,1,1,1,1,2,6}, {4,2,1,3,1,4,1,1}, {2,1,3,1,1,2,3,4}},
723   {{3,3,1,1,1,1,3,4}, {4,1,2,2,2,4,1,1}, {3,1,3,1,1,2,4,2}},
724   {{4,3,1,1,1,1,4,2}, {3,2,1,3,2,1,1,4}, {1,1,3,1,1,3,2,5}},
725   {{2,3,1,1,1,2,2,5}, {4,2,1,3,2,1,2,2}, {2,1,3,1,1,3,3,3}},
726   {{3,3,1,1,1,2,3,3}, {3,1,2,2,3,1,1,4}, {3,1,3,1,1,3,4,1}},
727   {{1,3,1,1,1,3,1,6}, {3,2,1,3,2,2,1,3}, {1,1,3,1,1,4,2,4}},
728   {{2,3,1,1,1,3,2,4}, {4,2,1,3,2,2,2,1}, {2,1,3,1,1,4,3,2}},
729   {{3,3,1,1,1,3,3,2}, {3,1,2,2,3,2,1,3}, {1,1,3,1,1,5,2,3}},
730   {{1,3,1,1,1,4,1,5}, {4,1,2,2,3,2,2,1}, {2,1,3,1,1,5,3,1}},
731   {{2,3,1,1,1,4,2,3}, {3,1,2,2,3,3,1,2}, {1,1,3,1,1,6,2,2}},
732   {{1,3,1,1,1,5,1,4}, {3,2,1,3,2,4,1,1}, {1,2,2,2,1,1,3,5}},
733   {{1,3,1,1,1,6,1,3}, {3,1,2,2,3,4,1,1}, {2,2,2,2,1,1,4,3}},
734   {{1,3,1,1,2,1,2,6}, {2,2,1,3,3,1,1,4}, {3,2,2,2,1,1,5,1}},
735   {{2,3,1,1,2,1,3,4}, {3,2,1,3,3,1,2,2}, {1,1,3,1,2,1,3,5}},
736   {{3,3,1,1,2,1,4,2}, {2,1,2,2,4,1,1,4}, {1,2,2,2,1,2,3,4}},
737   {{1,3,1,1,2,2,2,5}, {2,2,1,3,3,2,1,3}, {2,2,2,2,1,2,4,2}},
738   {{2,3,1,1,2,2,3,3}, {3,2,1,3,3,2,2,1}, {1,1,3,1,2,2,3,4}},
739   {{3,3,1,1,2,2,4,1}, {2,1,2,2,4,2,1,3}, {2,1,3,1,2,2,4,2}},
740   {{1,3,1,1,2,3,2,4}, {3,1,2,2,4,2,2,1}, {2,2,2,2,1,3,4,1}},
741   {{2,3,1,1,2,3,3,2}, {2,1,2,2,4,3,1,2}, {1,1,3,1,2,3,3,3}},
742   {{1,3,1,1,2,4,2,3}, {2,2,1,3,3,4,1,1}, {1,2,2,2,1,4,3,2}},
743   {{1,3,1,1,2,5,2,2}, {2,1,2,2,4,4,1,1}, {1,1,3,1,2,4,3,2}},
744   {{1,3,1,1,3,1,3,4}, {1,2,1,3,4,1,1,4}, {1,2,2,2,1,5,3,1}},
745   {{2,3,1,1,3,1,4,2}, {2,2,1,3,4,1,2,2}, {1,1,3,1,2,5,3,1}},
746   {{1,3,1,1,3,2,3,3}, {1,1,2,2,5,1,1,4}, {1,3,1,3,1,1,4,3}},
747   {{2,3,1,1,3,2,4,1}, {1,2,1,3,4,2,1,3}, {2,3,1,3,1,1,5,1}},
748   {{1,3,1,1,3,3,3,2}, {2,2,1,3,4,2,2,1}, {1,2,2,2,2,1,4,3}},
749   {{1,3,1,1,4,1,4,2}, {1,1,2,2,5,2,1,3}, {1,3,1,3,1,2,4,2}},
750   {{1,3,1,1,4,2,4,1}, {2,1,2,2,5,2,2,1}, {1,1,3,1,3,1,4,3}},
751   {{3,2,2,1,1,1,2,5}, {1,1,2,2,5,3,1,2}, {1,2,2,2,2,2,4,2}},
752   {{4,2,2,1,1,1,3,3}, {1,2,1,3,4,4,1,1}, {1,3,1,3,1,3,4,1}},
753   {{5,2,2,1,1,1,4,1}, {1,1,2,2,5,4,1,1}, {1,1,3,1,3,2,4,2}},
754   {{2,2,2,1,1,2,1,6}, {1,2,1,3,5,1,2,2}, {1,2,2,2,2,3,4,1}},
755   {{3,2,2,1,1,2,2,4}, {1,1,2,2,6,1,2,2}, {1,1,3,1,3,3,4,1}},
756   {{4,2,2,1,1,2,3,2}, {1,2,1,3,5,2,2,1}, {1,3,1,3,2,1,5,1}},
757   {{2,2,2,1,1,3,1,5}, {1,1,2,2,6,2,2,1}, {1,2,2,2,3,1,5,1}},
758   {{3,2,2,1,1,3,2,3}, {5,1,2,3,1,1,1,3}, {1,1,3,1,4,1,5,1}},
759   {{4,2,2,1,1,3,3,1}, {6,1,2,3,1,1,2,1}, {1,1,3,2,1,1,2,6}},
760   {{2,2,2,1,1,4,1,4}, {1,1,2,3,1,1,6,2}, {2,1,3,2,1,1,3,4}},
761   {{3,2,2,1,1,4,2,2}, {5,1,2,3,1,2,1,2}, {3,1,3,2,1,1,4,2}},
762   {{2,2,2,1,1,5,1,3}, {1,1,2,3,1,2,6,1}, {1,1,3,2,1,2,2,5}},
763   {{3,2,2,1,1,5,2,1}, {5,1,2,3,1,3,1,1}, {2,1,3,2,1,2,3,3}},
764   {{2,3,1,2,1,1,2,5}, {4,2,1,4,1,1,1,3}, {3,1,3,2,1,2,4,1}},
765   {{3,3,1,2,1,1,3,3}, {5,2,1,4,1,1,2,1}, {1,1,3,2,1,3,2,4}},
766   {{4,3,1,2,1,1,4,1}, {4,1,2,3,2,1,1,3}, {2,1,3,2,1,3,3,2}},
767   {{2,2,2,1,2,1,2,5}, {5,1,2,3,2,1,2,1}, {1,1,3,2,1,4,2,3}},
768   {{2,3,1,2,1,2,2,4}, {4,1,2,3,2,2,1,2}, {2,1,3,2,1,4,3,1}},
769   {{3,3,1,2,1,2,3,2}, {4,2,1,4,1,3,1,1}, {1,1,3,2,1,5,2,2}},
770   {{1,2,2,1,2,2,1,6}, {4,1,2,3,2,3,1,1}, {1,1,3,2,1,6,2,1}},
771   {{1,3,1,2,1,3,1,5}, {3,2,1,4,2,1,1,3}, {1,2,2,3,1,1,3,4}},
772   {{3,2,2,1,2,2,3,2}, {4,2,1,4,2,1,2,1}, {2,2,2,3,1,1,4,2}},
773   {{3,3,1,2,1,3,3,1}, {3,1,2,3,3,1,1,3}, {1,1,3,2,2,1,3,4}},
774   {{1,2,2,1,2,3,1,5}, {3,2,1,4,2,2,1,2}, {1,2,2,3,1,2,3,3}},
775   {{2,2,2,1,2,3,2,3}, {3,1,2,3,3,2,1,2}, {2,2,2,3,1,2,4,1}},
776   {{2,3,1,2,1,4,2,2}, {3,2,1,4,2,3,1,1}, {1,1,3,2,2,2,3,3}},
777   {{1,2,2,1,2,4,1,4}, {3,1,2,3,3,3,1,1}, {2,1,3,2,2,2,4,1}},
778   {{1,3,1,2,1,5,1,3}, {2,2,1,4,3,1,1,3}, {1,1,3,2,2,3,3,2}},
779   {{1,2,2,1,2,5,1,3}, {3,2,1,4,3,1,2,1}, {1,2,2,3,1,4,3,1}},
780   {{1,3,1,2,2,1,2,5}, {2,1,2,3,4,1,1,3}, {1,1,3,2,2,4,3,1}},
781   {{2,3,1,2,2,1,3,3}, {3,1,2,3,4,1,2,1}, {1,3,1,4,1,1,4,2}},
782   {{3,3,1,2,2,1,4,1}, {2,1,2,3,4,2,1,2}, {1,2,2,3,2,1,4,2}},
783   {{1,2,2,1,3,1,2,5}, {2,2,1,4,3,3,1,1}, {1,3,1,4,1,2,4,1}},
784   {{1,3,1,2,2,2,2,4}, {2,1,2,3,4,3,1,1}, {1,1,3,2,3,1,4,2}},
785   {{3,2,2,1,3,1,4,1}, {1,2,1,4,4,1,1,3}, {1,2,2,3,2,2,4,1}},
786   {{1,2,2,1,3,2,2,4}, {2,2,1,4,4,1,2,1}, {1,1,3,2,3,2,4,1}},
787   {{2,2,2,1,3,2,3,2}, {1,1,2,3,5,1,1,3}, {1,1,3,3,1,1,2,5}},
788   {{2,3,1,2,2,3,3,1}, {1,2,1,4,4,2,1,2}, {2,1,3,3,1,1,3,3}},
789   {{1,2,2,1,3,3,2,3}, {1,1,2,3,5,2,1,2}, {3,1,3,3,1,1,4,1}},
790   {{1,3,1,2,2,4,2,2}, {1,2,1,4,4,3,1,1}, {1,1,3,3,1,2,2,4}},
791   {{1,2,2,1,3,4,2,2}, {1,1,2,3,5,3,1,1}, {2,1,3,3,1,2,3,2}},
792   {{1,3,1,2,3,1,3,3}, {1,2,1,4,5,1,2,1}, {1,1,3,3,1,3,2,3}},
793   {{2,3,1,2,3,1,4,1}, {1,1,2,3,6,1,2,1}, {2,1,3,3,1,3,3,1}},
794   {{1,2,2,1,4,1,3,3}, {5,1,2,4,1,1,1,2}, {1,1,3,3,1,4,2,2}},
795   {{1,3,1,2,3,2,3,2}, {1,1,2,4,1,1,6,1}, {1,1,3,3,1,5,2,1}},
796   {{1,2,2,1,4,2,3,2}, {5,1,2,4,1,2,1,1}, {1,2,2,4,1,1,3,3}},
797   {{1,3,1,2,3,3,3,1}, {4,2,1,5,1,1,1,2}, {2,2,2,4,1,1,4,1}},
798   {{1,3,1,2,4,1,4,1}, {4,1,2,4,2,1,1,2}, {1,1,3,3,2,1,3,3}},
799   {{1,2,2,1,5,1,4,1}, {4,2,1,5,1,2,1,1}, {1,2,2,4,1,2,3,2}},
800   {{3,1,3,1,1,1,1,6}, {4,1,2,4,2,2,1,1}, {1,1,3,3,2,2,3,2}},
801   {{4,1,3,1,1,1,2,4}, {3,2,1,5,2,1,1,2}, {1,2,2,4,1,3,3,1}},
802   {{5,1,3,1,1,1,3,2}, {3,1,2,4,3,1,1,2}, {1,1,3,3,2,3,3,1}},
803   {{3,1,3,1,1,2,1,5}, {3,2,1,5,2,2,1,1}, {1,3,1,5,1,1,4,1}},
804   {{4,1,3,1,1,2,2,3}, {3,1,2,4,3,2,1,1}, {1,2,2,4,2,1,4,1}},
805   {{5,1,3,1,1,2,3,1}, {2,2,1,5,3,1,1,2}, {1,1,3,3,3,1,4,1}},
806   {{3,1,3,1,1,3,1,4}, {2,1,2,4,4,1,1,2}, {1,1,3,4,1,1,2,4}},
807   {{4,1,3,1,1,3,2,2}, {2,2,1,5,3,2,1,1}, {2,1,3,4,1,1,3,2}},
808   {{3,1,3,1,1,4,1,3}, {2,1,2,4,4,2,1,1}, {1,1,3,4,1,2,2,3}},
809   {{4,1,3,1,1,4,2,1}, {1,2,1,5,4,1,1,2}, {2,1,3,4,1,2,3,1}},
810   {{3,1,3,1,1,5,1,2}, {1,1,2,4,5,1,1,2}, {1,1,3,4,1,3,2,2}},
811   {{2,2,2,2,1,1,1,6}, {1,2,1,5,4,2,1,1}, {1,1,3,4,1,4,2,1}},
812   {{3,2,2,2,1,1,2,4}, {1,1,2,4,5,2,1,1}, {1,2,2,5,1,1,3,2}},
813   {{4,2,2,2,1,1,3,2}, {5,1,2,5,1,1,1,1}, {1,1,3,4,2,1,3,2}},
814   {{2,1,3,1,2,1,1,6}, {4,2,1,6,1,1,1,1}, {1,2,2,5,1,2,3,1}},
815   {{2,2,2,2,1,2,1,5}, {4,1,2,5,2,1,1,1}, {1,1,3,4,2,2,3,1}},
816   {{4,1,3,1,2,1,3,2}, {3,2,1,6,2,1,1,1}, {1,1,3,5,1,1,2,3}},
817   {{4,2,2,2,1,2,3,1}, {3,1,2,5,3,1,1,1}, {2,1,3,5,1,1,3,1}},
818   {{2,1,3,1,2,2,1,5}, {2,2,1,6,3,1,1,1}, {1,1,3,5,1,2,2,2}},
819   {{3,1,3,1,2,2,2,3}, {2,1,2,5,4,1,1,1}, {1,1,3,5,1,3,2,1}},
820   {{4,1,3,1,2,2,3,1}, {4,3,1,1,1,1,1,5}, {1,2,2,6,1,1,3,1}},
821   {{2,1,3,1,2,3,1,4}, {5,3,1,1,1,1,2,3}, {1,1,3,5,2,1,3,1}},
822   {{2,2,2,2,1,4,1,3}, {6,3,1,1,1,1,3,1}, {1,1,3,6,1,1,2,2}},
823   {{3,2,2,2,1,4,2,1}, {4,3,1,1,1,2,1,4}, {1,1,3,6,1,2,2,1}},
824   {{2,1,3,1,2,4,1,3}, {5,3,1,1,1,2,2,2}, {1,4,1,1,1,1,4,4}},
825   {{3,1,3,1,2,4,2,1}, {4,3,1,1,1,3,1,3}, {2,4,1,1,1,1,5,2}},
826   {{2,2,2,2,1,6,1,1}, {5,3,1,1,1,3,2,1}, {1,4,1,1,1,2,4,3}},
827   {{1,3,1,3,1,1,1,6}, {4,3,1,1,1,4,1,2}, {2,4,1,1,1,2,5,1}},
828   {{2,3,1,3,1,1,2,4}, {4,3,1,1,1,5,1,1}, {1,4,1,1,1,3,4,2}},
829   {{3,3,1,3,1,1,3,2}, {3,3,1,1,2,1,1,5}, {1,4,1,1,1,4,4,1}},
830   {{1,2,2,2,2,1,1,6}, {4,3,1,1,2,1,2,3}, {1,4,1,1,2,1,5,2}},
831   {{1,3,1,3,1,2,1,5}, {5,3,1,1,2,1,3,1}, {1,4,1,1,2,2,5,1}},
832   {{2,3,1,3,1,2,2,3}, {3,3,1,1,2,2,1,4}, {5,4,1,1,3,1,1,1}},
833   {{3,3,1,3,1,2,3,1}, {4,3,1,1,2,2,2,2}, {4,4,1,1,4,1,1,1}},
834   {{1,1,3,1,3,1,1,6}, {3,3,1,1,2,3,1,3}, {3,4,1,1,5,1,1,1}},
835   {{1,2,2,2,2,2,1,5}, {4,3,1,1,2,3,2,1}, {2,4,1,1,6,1,1,1}},
836   {{2,2,2,2,2,2,2,3}, {3,3,1,1,2,4,1,2}, {1,3,2,1,1,1,3,5}},
837   {{3,2,2,2,2,2,3,1}, {3,3,1,1,2,5,1,1}, {2,3,2,1,1,1,4,3}},
838   {{1,1,3,1,3,2,1,5}, {2,3,1,1,3,1,1,5}, {3,3,2,1,1,1,5,1}},
839   {{2,1,3,1,3,2,2,3}, {3,3,1,1,3,1,2,3}, {1,3,2,1,1,2,3,4}},
840   {{3,1,3,1,3,2,3,1}, {4,3,1,1,3,1,3,1}, {2,3,2,1,1,2,4,2}},
841   {{2,3,1,3,1,4,2,1}, {2,3,1,1,3,2,1,4}, {1,3,2,1,1,3,3,3}},
842   {{1,1,3,1,3,3,1,4}, {3,3,1,1,3,2,2,2}, {2,3,2,1,1,3,4,1}},
843   {{1,2,2,2,2,4,1,3}, {2,3,1,1,3,3,1,3}, {1,3,2,1,1,4,3,2}},
844   {{2,2,2,2,2,4,2,1}, {3,3,1,1,3,3,2,1}, {1,3,2,1,1,5,3,1}},
845   {{1,1,3,1,3,4,1,3}, {2,3,1,1,3,4,1,2}, {1,4,1,2,1,1,4,3}},
846   {{1,3,1,3,1,6,1,1}, {2,3,1,1,3,5,1,1}, {2,4,1,2,1,1,5,1}},
847   {{1,3,1,3,2,1,2,4}, {1,3,1,1,4,1,1,5}, {1,3,2,1,2,1,4,3}},
848   {{2,3,1,3,2,1,3,2}, {2,3,1,1,4,1,2,3}, {1,4,1,2,1,2,4,2}},
849   {{1,2,2,2,3,1,2,4}, {3,3,1,1,4,1,3,1}, {1,3,2,1,2,2,4,2}},
850   {{1,3,1,3,2,2,2,3}, {1,3,1,1,4,2,1,4}, {1,4,1,2,1,3,4,1}},
851   {{2,3,1,3,2,2,3,1}, {2,3,1,1,4,2,2,2}, {1,3,2,1,2,3,4,1}},
852   {{1,1,3,1,4,1,2,4}, {1,3,1,1,4,3,1,3}, {1,4,1,2,2,1,5,1}},
853   {{1,2,2,2,3,2,2,3}, {2,3,1,1,4,3,2,1}, {1,3,2,1,3,1,5,1}},
854   {{2,2,2,2,3,2,3,1}, {1,3,1,1,4,4,1,2}, {1,2,3,1,1,1,2,6}},
855   {{1,1,3,1,4,2,2,3}, {1,3,1,1,4,5,1,1}, {2,2,3,1,1,1,3,4}},
856   {{2,1,3,1,4,2,3,1}, {1,3,1,1,5,1,2,3}, {3,2,3,1,1,1,4,2}},
857   {{1,3,1,3,2,4,2,1}, {2,3,1,1,5,1,3,1}, {1,2,3,1,1,2,2,5}},
858   {{1,2,2,2,3,4,2,1}, {1,3,1,1,5,2,2,2}, {2,2,3,1,1,2,3,3}},
859   {{1,3,1,3,3,1,3,2}, {1,3,1,1,5,3,2,1}, {3,2,3,1,1,2,4,1}},
860   {{1,2,2,2,4,1,3,2}, {1,3,1,1,6,1,3,1}, {1,2,3,1,1,3,2,4}},
861   {{1,3,1,3,3,2,3,1}, {5,2,2,1,1,1,1,4}, {2,2,3,1,1,3,3,2}},
862   {{1,1,3,1,5,1,3,2}, {6,2,2,1,1,1,2,2}, {1,2,3,1,1,4,2,3}},
863   {{1,2,2,2,4,2,3,1}, {1,2,2,1,1,1,6,3}, {2,2,3,1,1,4,3,1}},
864   {{3,1,3,2,1,1,1,5}, {5,2,2,1,1,2,1,3}, {1,2,3,1,1,5,2,2}},
865   {{4,1,3,2,1,1,2,3}, {6,2,2,1,1,2,2,1}, {1,2,3,1,1,6,2,1}},
866   {{5,1,3,2,1,1,3,1}, {1,2,2,1,1,2,6,2}, {1,3,2,2,1,1,3,4}},
867   {{3,1,3,2,1,2,1,4}, {5,2,2,1,1,3,1,2}, {2,3,2,2,1,1,4,2}},
868   {{4,1,3,2,1,2,2,2}, {1,2,2,1,1,3,6,1}, {1,2,3,1,2,1,3,4}},
869   {{3,1,3,2,1,3,1,3}, {5,2,2,1,1,4,1,1}, {1,3,2,2,1,2,3,3}},
870   {{4,1,3,2,1,3,2,1}, {4,3,1,2,1,1,1,4}, {2,3,2,2,1,2,4,1}},
871   {{3,1,3,2,1,4,1,2}, {5,3,1,2,1,1,2,2}, {1,2,3,1,2,2,3,3}},
872   {{3,1,3,2,1,5,1,1}, {4,2,2,1,2,1,1,4}, {1,3,2,2,1,3,3,2}},
873   {{2,2,2,3,1,1,1,5}, {4,3,1,2,1,2,1,3}, {1,2,3,1,2,3,3,2}},
874   {{3,2,2,3,1,1,2,3}, {5,3,1,2,1,2,2,1}, {1,3,2,2,1,4,3,1}},
875   {{4,2,2,3,1,1,3,1}, {4,2,2,1,2,2,1,3}, {1,2,3,1,2,4,3,1}},
876   {{2,1,3,2,2,1,1,5}, {5,2,2,1,2,2,2,1}, {1,4,1,3,1,1,4,2}},
877   {{2,2,2,3,1,2,1,4}, {4,2,2,1,2,3,1,2}, {1,3,2,2,2,1,4,2}},
878   {{4,1,3,2,2,1,3,1}, {4,3,1,2,1,4,1,1}, {1,4,1,3,1,2,4,1}},
879   {{2,1,3,2,2,2,1,4}, {4,2,2,1,2,4,1,1}, {1,2,3,1,3,1,4,2}},
880   {{3,1,3,2,2,2,2,2}, {3,3,1,2,2,1,1,4}, {1,3,2,2,2,2,4,1}},
881   {{3,2,2,3,1,3,2,1}, {4,3,1,2,2,1,2,2}, {1,2,3,1,3,2,4,1}},
882   {{2,1,3,2,2,3,1,3}, {3,2,2,1,3,1,1,4}, {2,1,4,1,1,1,2,5}},
883   {{2,2,2,3,1,4,1,2}, {3,3,1,2,2,2,1,3}, {3,1,4,1,1,1,3,3}},
884   {{2,1,3,2,2,4,1,2}, {4,3,1,2,2,2,2,1}, {4,1,4,1,1,1,4,1}},
885   {{2,2,2,3,1,5,1,1}, {3,2,2,1,3,2,1,3}, {1,1,4,1,1,2,1,6}},
886   {{2,1,3,2,2,5,1,1}, {4,2,2,1,3,2,2,1}, {2,1,4,1,1,2,2,4}},
887   {{1,3,1,4,1,1,1,5}, {3,2,2,1,3,3,1,2}, {3,1,4,1,1,2,3,2}},
888   {{2,3,1,4,1,1,2,3}, {3,3,1,2,2,4,1,1}, {1,1,4,1,1,3,1,5}},
889   {{3,3,1,4,1,1,3,1}, {3,2,2,1,3,4,1,1}, {2,1,4,1,1,3,2,3}},
890   {{1,2,2,3,2,1,1,5}, {2,3,1,2,3,1,1,4}, {3,1,4,1,1,3,3,1}},
891   {{1,3,1,4,1,2,1,4}, {3,3,1,2,3,1,2,2}, {1,1,4,1,1,4,1,4}},
892   {{2,3,1,4,1,2,2,2}, {2,2,2,1,4,1,1,4}, {2,1,4,1,1,4,2,2}},
893   {{1,1,3,2,3,1,1,5}, {2,3,1,2,3,2,1,3}, {1,1,4,1,1,5,1,3}},
894   {{1,2,2,3,2,2,1,4}, {3,3,1,2,3,2,2,1}, {2,1,4,1,1,5,2,1}},
895   {{2,2,2,3,2,2,2,2}, {2,2,2,1,4,2,1,3}, {1,1,4,1,1,6,1,2}},
896   {{2,3,1,4,1,3,2,1}, {3,2,2,1,4,2,2,1}, {1,2,3,2,1,1,2,5}},
897   {{1,1,3,2,3,2,1,4}, {2,2,2,1,4,3,1,2}, {2,2,3,2,1,1,3,3}},
898   {{2,1,3,2,3,2,2,2}, {2,3,1,2,3,4,1,1}, {3,2,3,2,1,1,4,1}},
899   {{1,3,1,4,1,4,1,2}, {2,2,2,1,4,4,1,1}, {1,1,4,1,2,1,2,5}},
900   {{1,1,3,2,3,3,1,3}, {1,3,1,2,4,1,1,4}, {1,2,3,2,1,2,2,4}},
901   {{1,2,2,3,2,4,1,2}, {2,3,1,2,4,1,2,2}, {2,2,3,2,1,2,3,2}},
902   {{1,3,1,4,1,5,1,1}, {1,2,2,1,5,1,1,4}, {1,1,4,1,2,2,2,4}},
903   {{1,2,2,3,2,5,1,1}, {1,3,1,2,4,2,1,3}, {2,1,4,1,2,2,3,2}},
904   {{1,3,1,4,2,1,2,3}, {2,3,1,2,4,2,2,1}, {2,2,3,2,1,3,3,1}},
905   {{2,3,1,4,2,1,3,1}, {1,2,2,1,5,2,1,3}, {1,1,4,1,2,3,2,3}},
906   {{1,2,2,3,3,1,2,3}, {2,2,2,1,5,2,2,1}, {1,2,3,2,1,4,2,2}},
907   {{1,3,1,4,2,2,2,2}, {1,2,2,1,5,3,1,2}, {1,1,4,1,2,4,2,2}},
908   {{1,1,3,2,4,1,2,3}, {1,3,1,2,4,4,1,1}, {1,2,3,2,1,5,2,1}},
909   {{1,2,2,3,3,2,2,2}, {1,2,2,1,5,4,1,1}, {1,1,4,1,2,5,2,1}},
910   {{1,3,1,4,2,3,2,1}, {1,3,1,2,5,1,2,2}, {1,3,2,3,1,1,3,3}},
911   {{1,1,3,2,4,2,2,2}, {1,2,2,1,6,1,2,2}, {2,3,2,3,1,1,4,1}},
912   {{1,2,2,3,3,3,2,1}, {1,3,1,2,5,2,2,1}, {1,2,3,2,2,1,3,3}},
913   {{1,3,1,4,3,1,3,1}, {1,2,2,1,6,2,2,1}, {1,3,2,3,1,2,3,2}},
914   {{1,1,3,2,5,1,3,1}, {6,1,3,1,1,1,1,3}, {1,1,4,1,3,1,3,3}},
915   {{3,1,3,3,1,1,1,4}, {1,1,3,1,1,1,5,4}, {1,2,3,2,2,2,3,2}},
916   {{4,1,3,3,1,1,2,2}, {2,1,3,1,1,1,6,2}, {1,3,2,3,1,3,3,1}},
917   {{3,1,3,3,1,2,1,3}, {6,1,3,1,1,2,1,2}, {1,1,4,1,3,2,3,2}},
918   {{4,1,3,3,1,2,2,1}, {1,1,3,1,1,2,5,3}, {1,2,3,2,2,3,3,1}},
919   {{3,1,3,3,1,3,1,2}, {2,1,3,1,1,2,6,1}, {1,1,4,1,3,3,3,1}},
920   {{3,1,3,3,1,4,1,1}, {6,1,3,1,1,3,1,1}, {1,4,1,4,1,1,4,1}},
921   {{2,2,2,4,1,1,1,4}, {1,1,3,1,1,3,5,2}, {1,3,2,3,2,1,4,1}},
922   {{3,2,2,4,1,1,2,2}, {1,1,3,1,1,4,5,1}, {1,2,3,2,3,1,4,1}},
923   {{2,1,3,3,2,1,1,4}, {5,2,2,2,1,1,1,3}, {1,1,4,1,4,1,4,1}},
924   {{2,2,2,4,1,2,1,3}, {6,2,2,2,1,1,2,1}, {1,1,4,2,1,1,1,6}},
925   {{3,2,2,4,1,2,2,1}, {1,2,2,2,1,1,6,2}, {2,1,4,2,1,1,2,4}},
926   {{2,1,3,3,2,2,1,3}, {5,1,3,1,2,1,1,3}, {3,1,4,2,1,1,3,2}},
927   {{3,1,3,3,2,2,2,1}, {6,1,3,1,2,1,2,1}, {1,1,4,2,1,2,1,5}},
928   {{2,1,3,3,2,3,1,2}, {1,1,3,1,2,1,6,2}, {2,1,4,2,1,2,2,3}},
929   {{2,2,2,4,1,4,1,1}, {1,2,2,2,1,2,6,1}, {3,1,4,2,1,2,3,1}},
930   {{2,1,3,3,2,4,1,1}, {5,1,3,1,2,2,1,2}, {1,1,4,2,1,3,1,4}},
931   {{1,3,1,5,1,1,1,4}, {5,2,2,2,1,3,1,1}, {2,1,4,2,1,3,2,2}},
932   {{2,3,1,5,1,1,2,2}, {1,1,3,1,2,2,6,1}, {1,1,4,2,1,4,1,3}},
933   {{1,2,2,4,2,1,1,4}, {5,1,3,1,2,3,1,1}, {2,1,4,2,1,4,2,1}},
934   {{1,3,1,5,1,2,1,3}, {4,3,1,3,1,1,1,3}, {1,1,4,2,1,5,1,2}},
935   {{2,3,1,5,1,2,2,1}, {5,3,1,3,1,1,2,1}, {1,1,4,2,1,6,1,1}},
936   {{1,1,3,3,3,1,1,4}, {4,2,2,2,2,1,1,3}, {1,2,3,3,1,1,2,4}},
937   {{1,2,2,4,2,2,1,3}, {4,3,1,3,1,2,1,2}, {2,2,3,3,1,1,3,2}},
938   {{2,2,2,4,2,2,2,1}, {4,1,3,1,3,1,1,3}, {1,1,4,2,2,1,2,4}},
939   {{1,1,3,3,3,2,1,3}, {5,1,3,1,3,1,2,1}, {1,2,3,3,1,2,2,3}},
940   {{2,1,3,3,3,2,2,1}, {4,3,1,3,1,3,1,1}, {2,2,3,3,1,2,3,1}},
941   {{1,3,1,5,1,4,1,1}, {4,1,3,1,3,2,1,2}, {1,1,4,2,2,2,2,3}},
942   {{1,1,3,3,3,3,1,2}, {4,2,2,2,2,3,1,1}, {2,1,4,2,2,2,3,1}},
943   {{1,2,2,4,2,4,1,1}, {4,1,3,1,3,3,1,1}, {1,1,4,2,2,3,2,2}},
944   {{1,1,3,3,3,4,1,1}, {3,3,1,3,2,1,1,3}, {1,2,3,3,1,4,2,1}},
945   {{1,2,2,4,3,1,2,2}, {4,3,1,3,2,1,2,1}, {1,1,4,2,2,4,2,1}},
946   {{1,1,3,3,4,1,2,2}, {3,2,2,2,3,1,1,3}, {1,3,2,4,1,1,3,2}},
947   {{1,1,3,3,4,2,2,1}, {3,3,1,3,2,2,1,2}, {1,2,3,3,2,1,3,2}},
948   {{4,1,3,4,1,1,2,1}, {3,1,3,1,4,1,1,3}, {1,3,2,4,1,2,3,1}},
949   {{3,1,3,4,1,3,1,1}, {3,2,2,2,3,2,1,2}, {1,1,4,2,3,1,3,2}},
950   {{3,2,2,5,1,1,2,1}, {3,3,1,3,2,3,1,1}, {1,2,3,3,2,2,3,1}},
951   {{2,2,2,5,1,2,1,2}, {3,1,3,1,4,2,1,2}, {1,1,4,2,3,2,3,1}},
952   {{2,2,2,5,1,3,1,1}, {3,2,2,2,3,3,1,1}, {1,1,4,3,1,1,1,5}},
953   {{1,3,1,6,1,1,1,3}, {3,1,3,1,4,3,1,1}, {2,1,4,3,1,1,2,3}},
954   {{1,2,2,5,2,1,1,3}, {2,3,1,3,3,1,1,3}, {3,1,4,3,1,1,3,1}},
955   {{1,1,3,4,3,1,1,3}, {3,3,1,3,3,1,2,1}, {1,1,4,3,1,2,1,4}},
956   {{1,3,1,6,1,3,1,1}, {2,2,2,2,4,1,1,3}, {2,1,4,3,1,2,2,2}},
957   {{1,2,2,5,2,3,1,1}, {2,3,1,3,3,2,1,2}, {1,1,4,3,1,3,1,3}},
958   {{2,4,1,1,1,1,2,5}, {2,1,3,1,5,1,1,3}, {2,1,4,3,1,3,2,1}},
959   {{1,4,1,1,1,2,1,6}, {2,2,2,2,4,2,1,2}, {1,1,4,3,1,4,1,2}},
960   {{2,4,1,1,1,2,2,4}, {2,3,1,3,3,3,1,1}, {1,1,4,3,1,5,1,1}},
961   {{1,4,1,1,1,3,1,5}, {2,1,3,1,5,2,1,2}, {1,2,3,4,1,1,2,3}},
962   {{2,4,1,1,1,3,2,3}, {2,2,2,2,4,3,1,1}, {2,2,3,4,1,1,3,1}},
963   {{3,4,1,1,1,3,3,1}, {2,1,3,1,5,3,1,1}, {1,1,4,3,2,1,2,3}},
964   {{1,4,1,1,1,4,1,4}, {1,3,1,3,4,1,1,3}, {1,2,3,4,1,2,2,2}},
965   {{2,4,1,1,1,4,2,2}, {2,3,1,3,4,1,2,1}, {1,1,4,3,2,2,2,2}},
966   {{1,4,1,1,1,5,1,3}, {1,2,2,2,5,1,1,3}, {1,2,3,4,1,3,2,1}},
967   {{2,4,1,1,1,5,2,1}, {1,3,1,3,4,2,1,2}, {1,1,4,3,2,3,2,1}},
968   {{1,4,1,1,2,1,2,5}, {1,1,3,1,6,1,1,3}, {1,3,2,5,1,1,3,1}},
969   {{2,4,1,1,2,1,3,3}, {1,2,2,2,5,2,1,2}, {1,2,3,4,2,1,3,1}},
970   {{3,4,1,1,2,1,4,1}, {1,3,1,3,4,3,1,1}, {1,1,4,3,3,1,3,1}},
971   {{1,4,1,1,2,2,2,4}, {1,1,3,1,6,2,1,2}, {1,1,4,4,1,1,1,4}},
972   {{2,4,1,1,2,2,3,2}, {1,2,2,2,5,3,1,1}, {2,1,4,4,1,1,2,2}},
973   {{1,4,1,1,2,3,2,3}, {1,1,3,1,6,3,1,1}, {1,1,4,4,1,2,1,3}},
974   {{2,4,1,1,2,3,3,1}, {1,3,1,3,5,1,2,1}, {2,1,4,4,1,2,2,1}},
975   {{1,4,1,1,2,4,2,2}, {1,2,2,2,6,1,2,1}, {1,1,4,4,1,3,1,2}},
976   {{1,4,1,1,2,5,2,1}, {6,1,3,2,1,1,1,2}, {1,1,4,4,1,4,1,1}},
977   {{1,4,1,1,3,1,3,3}, {1,1,3,2,1,1,5,3}, {1,2,3,5,1,1,2,2}},
978   {{2,4,1,1,3,1,4,1}, {2,1,3,2,1,1,6,1}, {1,1,4,4,2,1,2,2}},
979   {{1,4,1,1,3,2,3,2}, {6,1,3,2,1,2,1,1}, {1,2,3,5,1,2,2,1}},
980   {{1,4,1,1,3,3,3,1}, {1,1,3,2,1,2,5,2}, {1,1,4,4,2,2,2,1}},
981   {{1,4,1,1,4,1,4,1}, {1,1,3,2,1,3,5,1}, {1,1,4,5,1,1,1,3}},
982   {{2,3,2,1,1,1,1,6}, {5,2,2,3,1,1,1,2}, {2,1,4,5,1,1,2,1}},
983   {{3,3,2,1,1,1,2,4}, {1,2,2,3,1,1,6,1}, {1,1,4,5,1,2,1,2}},
984   {{4,3,2,1,1,1,3,2}, {5,1,3,2,2,1,1,2}, {1,1,4,5,1,3,1,1}},
985   {{2,3,2,1,1,2,1,5}, {5,2,2,3,1,2,1,1}, {1,2,3,6,1,1,2,1}},
986   {{3,3,2,1,1,2,2,3}, {1,1,3,2,2,1,6,1}, {1,1,4,5,2,1,2,1}},
987   {{2,3,2,1,1,3,1,4}, {5,1,3,2,2,2,1,1}, {1,5,1,1,1,1,4,3}},
988   {{3,3,2,1,1,3,2,2}, {4,3,1,4,1,1,1,2}, {2,5,1,1,1,1,5,1}},
989   {{2,3,2,1,1,4,1,3}, {4,2,2,3,2,1,1,2}, {1,5,1,1,1,2,4,2}},
990   {{3,3,2,1,1,4,2,1}, {4,3,1,4,1,2,1,1}, {1,5,1,1,1,3,4,1}},
991   {{2,3,2,1,1,5,1,2}, {4,1,3,2,3,1,1,2}, {1,5,1,1,2,1,5,1}},
992   {{1,4,1,2,1,1,1,6}, {4,2,2,3,2,2,1,1}, {1,4,2,1,1,1,3,4}},
993   {{2,4,1,2,1,1,2,4}, {4,1,3,2,3,2,1,1}, {2,4,2,1,1,1,4,2}},
994   {{3,4,1,2,1,1,3,2}, {3,3,1,4,2,1,1,2}, {1,4,2,1,1,2,3,3}},
995   {{1,3,2,1,2,1,1,6}, {3,2,2,3,3,1,1,2}, {2,4,2,1,1,2,4,1}},
996   {{1,4,1,2,1,2,1,5}, {3,3,1,4,2,2,1,1}, {1,4,2,1,1,3,3,2}},
997   {{3,3,2,1,2,1,3,2}, {3,1,3,2,4,1,1,2}, {1,4,2,1,1,4,3,1}},
998   {{3,4,1,2,1,2,3,1}, {3,2,2,3,3,2,1,1}, {1,5,1,2,1,1,4,2}},
999   {{1,3,2,1,2,2,1,5}, {3,1,3,2,4,2,1,1}, {1,4,2,1,2,1,4,2}},
1000   {{2,3,2,1,2,2,2,3}, {2,3,1,4,3,1,1,2}, {1,5,1,2,1,2,4,1}},
1001   {{3,3,2,1,2,2,3,1}, {2,2,2,3,4,1,1,2}, {1,4,2,1,2,2,4,1}},
1002   {{1,3,2,1,2,3,1,4}, {2,3,1,4,3,2,1,1}, {1,3,3,1,1,1,2,5}},
1003   {{1,4,1,2,1,4,1,3}, {2,1,3,2,5,1,1,2}, {2,3,3,1,1,1,3,3}},
1004   {{2,4,1,2,1,4,2,1}, {2,2,2,3,4,2,1,1}, {3,3,3,1,1,1,4,1}},
1005   {{1,3,2,1,2,4,1,3}, {2,1,3,2,5,2,1,1}, {1,3,3,1,1,2,2,4}},
1006   {{2,3,2,1,2,4,2,1}, {1,3,1,4,4,1,1,2}, {2,3,3,1,1,2,3,2}},
1007   {{1,4,1,2,1,6,1,1}, {1,2,2,3,5,1,1,2}, {1,3,3,1,1,3,2,3}},
1008   {{1,4,1,2,2,1,2,4}, {1,3,1,4,4,2,1,1}, {2,3,3,1,1,3,3,1}},
1009   {{2,4,1,2,2,1,3,2}, {1,1,3,2,6,1,1,2}, {1,3,3,1,1,4,2,2}},
1010   {{1,3,2,1,3,1,2,4}, {1,2,2,3,5,2,1,1}, {1,3,3,1,1,5,2,1}},
1011   {{1,4,1,2,2,2,2,3}, {1,1,3,2,6,2,1,1}, {1,4,2,2,1,1,3,3}},
1012   {{2,4,1,2,2,2,3,1}, {6,1,3,3,1,1,1,1}, {2,4,2,2,1,1,4,1}},
1013   {{1,3,2,1,3,2,2,3}, {1,1,3,3,1,1,5,2}, {1,3,3,1,2,1,3,3}},
1014   {{2,3,2,1,3,2,3,1}, {1,1,3,3,1,2,5,1}, {1,4,2,2,1,2,3,2}},
1015   {{1,3,2,1,3,3,2,2}, {5,2,2,4,1,1,1,1}, {1,3,3,1,2,2,3,2}},
1016   {{1,4,1,2,2,4,2,1}, {5,1,3,3,2,1,1,1}, {1,4,2,2,1,3,3,1}},
1017   {{1,4,1,2,3,1,3,2}, {4,3,1,5,1,1,1,1}, {1,3,3,1,2,3,3,1}},
1018   {{1,3,2,1,4,1,3,2}, {4,2,2,4,2,1,1,1}, {1,5,1,3,1,1,4,1}},
1019   {{1,4,1,2,3,2,3,1}, {4,1,3,3,3,1,1,1}, {1,4,2,2,2,1,4,1}},
1020   {{1,3,2,1,4,2,3,1}, {3,3,1,5,2,1,1,1}, {1,3,3,1,3,1,4,1}},
1021   {{3,2,3,1,1,1,1,5}, {3,2,2,4,3,1,1,1}, {1,2,4,1,1,1,1,6}},
1022   {{4,2,3,1,1,1,2,3}, {3,1,3,3,4,1,1,1}, {2,2,4,1,1,1,2,4}},
1023   {{5,2,3,1,1,1,3,1}, {2,3,1,5,3,1,1,1}, {3,2,4,1,1,1,3,2}},
1024   {{3,2,3,1,1,2,1,4}, {2,2,2,4,4,1,1,1}, {1,2,4,1,1,2,1,5}},
1025   {{4,2,3,1,1,2,2,2}, {2,1,3,3,5,1,1,1}, {2,2,4,1,1,2,2,3}},
1026   {{3,2,3,1,1,3,1,3}, {1,3,1,5,4,1,1,1}, {3,2,4,1,1,2,3,1}},
1027   {{4,2,3,1,1,3,2,1}, {1,2,2,4,5,1,1,1}, {1,2,4,1,1,3,1,4}},
1028   {{3,2,3,1,1,4,1,2}, {1,1,3,3,6,1,1,1}, {2,2,4,1,1,3,2,2}},
1029   {{3,2,3,1,1,5,1,1}, {1,1,3,4,1,1,5,1}, {1,2,4,1,1,4,1,3}},
1030   {{2,3,2,2,1,1,1,5}, {4,4,1,1,1,1,1,4}, {2,2,4,1,1,4,2,1}},
1031   {{3,3,2,2,1,1,2,3}, {5,4,1,1,1,1,2,2}, {1,2,4,1,1,5,1,2}},
1032   {{2,2,3,1,2,1,1,5}, {4,4,1,1,1,2,1,3}, {1,2,4,1,1,6,1,1}},
1033   {{2,3,2,2,1,2,1,4}, {5,4,1,1,1,2,2,1}, {1,3,3,2,1,1,2,4}},
1034   {{3,3,2,2,1,2,2,2}, {4,4,1,1,1,3,1,2}, {2,3,3,2,1,1,3,2}},
1035   {{2,2,3,1,2,2,1,4}, {4,4,1,1,1,4,1,1}, {1,2,4,1,2,1,2,4}},
1036   {{3,2,3,1,2,2,2,2}, {3,4,1,1,2,1,1,4}, {1,3,3,2,1,2,2,3}},
1037   {{3,3,2,2,1,3,2,1}, {4,4,1,1,2,1,2,2}, {2,3,3,2,1,2,3,1}},
1038   {{2,2,3,1,2,3,1,3}, {3,4,1,1,2,2,1,3}, {1,2,4,1,2,2,2,3}},
1039   {{2,3,2,2,1,4,1,2}, {4,4,1,1,2,2,2,1}, {2,2,4,1,2,2,3,1}},
1040   {{2,2,3,1,2,4,1,2}, {3,4,1,1,2,3,1,2}, {1,2,4,1,2,3,2,2}},
1041   {{2,3,2,2,1,5,1,1}, {3,4,1,1,2,4,1,1}, {1,3,3,2,1,4,2,1}},
1042   {{2,2,3,1,2,5,1,1}, {2,4,1,1,3,1,1,4}, {1,2,4,1,2,4,2,1}},
1043   {{1,4,1,3,1,1,1,5}, {3,4,1,1,3,1,2,2}, {1,4,2,3,1,1,3,2}},
1044   {{2,4,1,3,1,1,2,3}, {2,4,1,1,3,2,1,3}, {1,3,3,2,2,1,3,2}},
1045   {{1,3,2,2,2,1,1,5}, {3,4,1,1,3,2,2,1}, {1,4,2,3,1,2,3,1}},
1046   {{1,4,1,3,1,2,1,4}, {2,4,1,1,3,3,1,2}, {1,2,4,1,3,1,3,2}},
1047   {{3,3,2,2,2,1,3,1}, {2,4,1,1,3,4,1,1}, {1,3,3,2,2,2,3,1}},
1048   {{1,2,3,1,3,1,1,5}, {1,4,1,1,4,1,1,4}, {1,2,4,1,3,2,3,1}},
1049   {{1,3,2,2,2,2,1,4}, {2,4,1,1,4,1,2,2}, {2,1,5,1,1,1,1,5}},
1050   {{2,3,2,2,2,2,2,2}, {1,4,1,1,4,2,1,3}, {3,1,5,1,1,1,2,3}},
1051   {{2,4,1,3,1,3,2,1}, {2,4,1,1,4,2,2,1}, {4,1,5,1,1,1,3,1}},
1052   {{1,2,3,1,3,2,1,4}, {1,4,1,1,4,3,1,2}, {2,1,5,1,1,2,1,4}},
1053   {{2,2,3,1,3,2,2,2}, {1,4,1,1,4,4,1,1}, {3,1,5,1,1,2,2,2}},
1054   {{1,4,1,3,1,4,1,2}, {1,4,1,1,5,1,2,2}, {2,1,5,1,1,3,1,3}},
1055   {{1,2,3,1,3,3,1,3}, {1,4,1,1,5,2,2,1}, {3,1,5,1,1,3,2,1}},
1056   {{1,3,2,2,2,4,1,2}, {5,3,2,1,1,1,1,3}, {2,1,5,1,1,4,1,2}},
1057   {{1,4,1,3,1,5,1,1}, {6,3,2,1,1,1,2,1}, {2,1,5,1,1,5,1,1}},
1058   {{1,3,2,2,2,5,1,1}, {1,3,2,1,1,1,6,2}, {1,2,4,2,1,1,1,5}},
1059   {{1,4,1,3,2,1,2,3}, {5,3,2,1,1,2,1,2}, {2,2,4,2,1,1,2,3}},
1060   {{2,4,1,3,2,1,3,1}, {1,3,2,1,1,2,6,1}, {3,2,4,2,1,1,3,1}},
1061   {{1,3,2,2,3,1,2,3}, {5,3,2,1,1,3,1,1}, {1,1,5,1,2,1,1,5}},
1062   {{1,4,1,3,2,2,2,2}, {4,4,1,2,1,1,1,3}, {1,2,4,2,1,2,1,4}},
1063   {{1,2,3,1,4,1,2,3}, {5,4,1,2,1,1,2,1}, {2,2,4,2,1,2,2,2}},
1064   {{1,3,2,2,3,2,2,2}, {4,3,2,1,2,1,1,3}, {1,1,5,1,2,2,1,4}},
1065   {{1,4,1,3,2,3,2,1}, {4,4,1,2,1,2,1,2}, {2,1,5,1,2,2,2,2}},
1066   {{1,2,3,1,4,2,2,2}, {4,3,2,1,2,2,1,2}, {2,2,4,2,1,3,2,1}},
1067   {{1,3,2,2,3,3,2,1}, {4,4,1,2,1,3,1,1}, {1,1,5,1,2,3,1,3}},
1068   {{1,4,1,3,3,1,3,1}, {4,3,2,1,2,3,1,1}, {1,2,4,2,1,4,1,2}},
1069   {{1,3,2,2,4,1,3,1}, {3,4,1,2,2,1,1,3}, {1,1,5,1,2,4,1,2}},
1070   {{1,2,3,1,5,1,3,1}, {4,4,1,2,2,1,2,1}, {1,2,4,2,1,5,1,1}},
1071   {{4,1,4,1,1,1,1,4}, {3,3,2,1,3,1,1,3}, {1,1,5,1,2,5,1,1}},
1072   {{5,1,4,1,1,1,2,2}, {3,4,1,2,2,2,1,2}, {1,3,3,3,1,1,2,3}},
1073   {{4,1,4,1,1,2,1,3}, {3,3,2,1,3,2,1,2}, {2,3,3,3,1,1,3,1}},
1074   {{5,1,4,1,1,2,2,1}, {3,4,1,2,2,3,1,1}, {1,2,4,2,2,1,2,3}},
1075   {{4,1,4,1,1,3,1,2}, {3,3,2,1,3,3,1,1}, {1,3,3,3,1,2,2,2}},
1076   {{4,1,4,1,1,4,1,1}, {2,4,1,2,3,1,1,3}, {1,1,5,1,3,1,2,3}},
1077   {{3,2,3,2,1,1,1,4}, {3,4,1,2,3,1,2,1}, {1,2,4,2,2,2,2,2}},
1078   {{4,2,3,2,1,1,2,2}, {2,3,2,1,4,1,1,3}, {1,3,3,3,1,3,2,1}},
1079   {{3,1,4,1,2,1,1,4}, {2,4,1,2,3,2,1,2}, {1,1,5,1,3,2,2,2}},
1080   {{4,1,4,1,2,1,2,2}, {2,3,2,1,4,2,1,2}, {1,2,4,2,2,3,2,1}},
1081   {{4,2,3,2,1,2,2,1}, {2,4,1,2,3,3,1,1}, {1,1,5,1,3,3,2,1}},
1082   {{3,1,4,1,2,2,1,3}, {2,3,2,1,4,3,1,1}, {1,4,2,4,1,1,3,1}},
1083   {{4,1,4,1,2,2,2,1}, {1,4,1,2,4,1,1,3}, {1,3,3,3,2,1,3,1}},
1084   {{3,1,4,1,2,3,1,2}, {2,4,1,2,4,1,2,1}, {1,2,4,2,3,1,3,1}},
1085   {{3,2,3,2,1,4,1,1}, {1,3,2,1,5,1,1,3}, {1,1,5,1,4,1,3,1}},
1086   {{3,1,4,1,2,4,1,1}, {1,4,1,2,4,2,1,2}, {2,1,5,2,1,1,1,4}},
1087   {{2,3,2,3,1,1,1,4}, {1,3,2,1,5,2,1,2}, {3,1,5,2,1,1,2,2}},
1088   {{3,3,2,3,1,1,2,2}, {1,4,1,2,4,3,1,1}, {2,1,5,2,1,2,1,3}},
1089   {{2,2,3,2,2,1,1,4}, {1,3,2,1,5,3,1,1}, {3,1,5,2,1,2,2,1}},
1090   {{2,3,2,3,1,2,1,3}, {1,4,1,2,5,1,2,1}, {2,1,5,2,1,3,1,2}},
1091   {{3,3,2,3,1,2,2,1}, {1,3,2,1,6,1,2,1}, {2,1,5,2,1,4,1,1}},
1092   {{2,1,4,1,3,1,1,4}, {6,2,3,1,1,1,1,2}, {1,2,4,3,1,1,1,4}},
1093   {{2,2,3,2,2,2,1,3}, {1,2,3,1,1,1,5,3}, {2,2,4,3,1,1,2,2}},
1094   {{3,2,3,2,2,2,2,1}, {2,2,3,1,1,1,6,1}, {1,1,5,2,2,1,1,4}},
1095   {{2,1,4,1,3,2,1,3}, {6,2,3,1,1,2,1,1}, {1,2,4,3,1,2,1,3}},
1096   {{3,1,4,1,3,2,2,1}, {1,2,3,1,1,2,5,2}, {2,2,4,3,1,2,2,1}},
1097   {{2,3,2,3,1,4,1,1}, {1,2,3,1,1,3,5,1}, {1,1,5,2,2,2,1,3}},
1098   {{2,1,4,1,3,3,1,2}, {5,3,2,2,1,1,1,2}, {2,1,5,2,2,2,2,1}},
1099   {{2,2,3,2,2,4,1,1}, {1,3,2,2,1,1,6,1}, {1,1,5,2,2,3,1,2}},
1100   {{2,1,4,1,3,4,1,1}, {5,2,3,1,2,1,1,2}, {1,2,4,3,1,4,1,1}},
1101   {{1,4,1,4,1,1,1,4}, {5,3,2,2,1,2,1,1}, {1,1,5,2,2,4,1,1}},
1102   {{2,4,1,4,1,1,2,2}, {1,2,3,1,2,1,6,1}, {1,3,3,4,1,1,2,2}},
1103   {{1,3,2,3,2,1,1,4}, {5,2,3,1,2,2,1,1}, {1,2,4,3,2,1,2,2}},
1104   {{1,4,1,4,1,2,1,3}, {4,4,1,3,1,1,1,2}, {1,3,3,4,1,2,2,1}},
1105   {{2,4,1,4,1,2,2,1}, {4,3,2,2,2,1,1,2}, {1,1,5,2,3,1,2,2}},
1106   {{1,2,3,2,3,1,1,4}, {4,4,1,3,1,2,1,1}, {1,2,4,3,2,2,2,1}},
1107   {{1,3,2,3,2,2,1,3}, {4,2,3,1,3,1,1,2}, {1,1,5,2,3,2,2,1}},
1108   {{2,3,2,3,2,2,2,1}, {4,3,2,2,2,2,1,1}, {2,1,5,3,1,1,1,3}},
1109   {{1,1,4,1,4,1,1,4}, {4,2,3,1,3,2,1,1}, {3,1,5,3,1,1,2,1}},
1110   {{1,2,3,2,3,2,1,3}, {3,4,1,3,2,1,1,2}, {2,1,5,3,1,2,1,2}},
1111   {{2,2,3,2,3,2,2,1}, {3,3,2,2,3,1,1,2}, {2,1,5,3,1,3,1,1}},
1112   {{1,4,1,4,1,4,1,1}, {3,4,1,3,2,2,1,1}, {1,2,4,4,1,1,1,3}},
1113   {{1,1,4,1,4,2,1,3}, {3,2,3,1,4,1,1,2}, {2,2,4,4,1,1,2,1}},
1114   {{2,1,4,1,4,2,2,1}, {3,3,2,2,3,2,1,1}, {1,1,5,3,2,1,1,3}},
1115   {{1,3,2,3,2,4,1,1}, {3,2,3,1,4,2,1,1}, {1,2,4,4,1,2,1,2}},
1116   {{1,1,4,1,4,3,1,2}, {2,4,1,3,3,1,1,2}, {1,1,5,3,2,2,1,2}},
1117   {{1,4,1,4,2,1,2,2}, {2,3,2,2,4,1,1,2}, {1,2,4,4,1,3,1,1}},
1118   {{1,3,2,3,3,1,2,2}, {2,4,1,3,3,2,1,1}, {1,1,5,3,2,3,1,1}},
1119   {{1,4,1,4,2,2,2,1}, {2,2,3,1,5,1,1,2}, {1,3,3,5,1,1,2,1}},
1120   {{1,2,3,2,4,1,2,2}, {2,3,2,2,4,2,1,1}, {1,2,4,4,2,1,2,1}},
1121   {{1,3,2,3,3,2,2,1}, {2,2,3,1,5,2,1,1}, {1,1,5,3,3,1,2,1}},
1122   {{1,1,4,1,5,1,2,2}, {1,4,1,3,4,1,1,2}, {2,1,5,4,1,1,1,2}},
1123   {{1,2,3,2,4,2,2,1}, {1,3,2,2,5,1,1,2}, {2,1,5,4,1,2,1,1}},
1124   {{1,1,4,1,5,2,2,1}, {1,4,1,3,4,2,1,1}, {1,2,4,5,1,1,1,2}},
1125   {{4,1,4,2,1,1,1,3}, {1,2,3,1,6,1,1,2}, {1,1,5,4,2,1,1,2}},
1126   {{5,1,4,2,1,1,2,1}, {1,3,2,2,5,2,1,1}, {1,2,4,5,1,2,1,1}},
1127   {{4,1,4,2,1,2,1,2}, {1,2,3,1,6,2,1,1}, {1,1,5,4,2,2,1,1}},
1128   {{4,1,4,2,1,3,1,1}, {1,1,4,1,1,1,4,4}, {1,6,1,1,1,1,4,2}},
1129   {{3,2,3,3,1,1,1,3}, {2,1,4,1,1,1,5,2}, {1,6,1,1,1,2,4,1}},
1130   {{4,2,3,3,1,1,2,1}, {1,1,4,1,1,2,4,3}, {1,5,2,1,1,1,3,3}},
1131   {{3,1,4,2,2,1,1,3}, {2,1,4,1,1,2,5,1}, {2,5,2,1,1,1,4,1}},
1132   {{4,1,4,2,2,1,2,1}, {1,1,4,1,1,3,4,2}, {1,5,2,1,1,2,3,2}},
1133   {{3,1,4,2,2,2,1,2}, {1,1,4,1,1,4,4,1}, {1,5,2,1,1,3,3,1}},
1134   {{3,2,3,3,1,3,1,1}, {6,2,3,2,1,1,1,1}, {1,6,1,2,1,1,4,1}},
1135   {{3,1,4,2,2,3,1,1}, {1,2,3,2,1,1,5,2}, {1,5,2,1,2,1,4,1}},
1136   {{2,3,2,4,1,1,1,3}, {6,1,4,1,2,1,1,1}, {1,4,3,1,1,1,2,4}},
1137   {{3,3,2,4,1,1,2,1}, {1,1,4,1,2,1,5,2}, {2,4,3,1,1,1,3,2}},
1138   {{2,2,3,3,2,1,1,3}, {1,2,3,2,1,2,5,1}, {1,4,3,1,1,2,2,3}},
1139   {{2,3,2,4,1,2,1,2}, {1,1,4,1,2,2,5,1}, {2,4,3,1,1,2,3,1}},
1140   {{2,1,4,2,3,1,1,3}, {5,3,2,3,1,1,1,1}, {1,4,3,1,1,3,2,2}},
1141   {{2,2,3,3,2,2,1,2}, {5,2,3,2,2,1,1,1}, {1,4,3,1,1,4,2,1}},
1142   {{2,3,2,4,1,3,1,1}, {5,1,4,1,3,1,1,1}, {1,5,2,2,1,1,3,2}},
1143   {{2,1,4,2,3,2,1,2}, {4,4,1,4,1,1,1,1}, {1,4,3,1,2,1,3,2}},
1144   {{2,2,3,3,2,3,1,1}, {4,3,2,3,2,1,1,1}, {1,5,2,2,1,2,3,1}},
1145   {{2,1,4,2,3,3,1,1}, {4,2,3,2,3,1,1,1}, {1,4,3,1,2,2,3,1}},
1146   {{1,4,1,5,1,1,1,3}, {4,1,4,1,4,1,1,1}, {1,3,4,1,1,1,1,5}},
1147   {{2,4,1,5,1,1,2,1}, {3,4,1,4,2,1,1,1}, {2,3,4,1,1,1,2,3}},
1148   {{1,3,2,4,2,1,1,3}, {3,3,2,3,3,1,1,1}, {3,3,4,1,1,1,3,1}},
1149   {{2,3,2,4,2,1,2,1}, {3,2,3,2,4,1,1,1}, {1,3,4,1,1,2,1,4}},
1150   {{1,2,3,3,3,1,1,3}, {3,1,4,1,5,1,1,1}, {2,3,4,1,1,2,2,2}},
1151   {{1,3,2,4,2,2,1,2}, {2,4,1,4,3,1,1,1}, {1,3,4,1,1,3,1,3}},
1152   {{1,4,1,5,1,3,1,1}, {2,3,2,3,4,1,1,1}, {2,3,4,1,1,3,2,1}},
1153   {{1,1,4,2,4,1,1,3}, {2,2,3,2,5,1,1,1}, {1,3,4,1,1,4,1,2}},
1154   {{1,2,3,3,3,2,1,2}, {2,1,4,1,6,1,1,1}, {1,3,4,1,1,5,1,1}},
1155   {{1,3,2,4,2,3,1,1}, {1,4,1,4,4,1,1,1}, {1,4,3,2,1,1,2,3}},
1156   {{1,1,4,2,4,2,1,2}, {1,3,2,3,5,1,1,1}, {2,4,3,2,1,1,3,1}},
1157   {{1,2,3,3,3,3,1,1}, {1,2,3,2,6,1,1,1}, {1,3,4,1,2,1,2,3}},
1158   {{1,1,4,2,4,3,1,1}, {1,1,4,2,1,1,4,3}, {2,3,4,1,2,1,3,1}},
1159   {{1,3,2,4,3,1,2,1}, {2,1,4,2,1,1,5,1}, {1,3,4,1,2,2,2,2}},
1160   {{1,1,4,2,5,1,2,1}, {1,1,4,2,1,2,4,2}, {1,4,3,2,1,3,2,1}},
1161   {{4,1,4,3,1,2,1,1}, {1,1,4,2,1,3,4,1}, {1,3,4,1,2,3,2,1}},
1162   {{3,1,4,3,2,1,1,2}, {1,2,3,3,1,1,5,1}, {1,5,2,3,1,1,3,1}},
1163   {{3,1,4,3,2,2,1,1}, {1,1,4,2,2,1,5,1}, {1,4,3,2,2,1,3,1}},
1164   {{2,2,3,4,2,1,1,2}, {1,1,4,3,1,1,4,2}, {1,3,4,1,3,1,3,1}},
1165   {{2,1,4,3,3,1,1,2}, {1,1,4,3,1,2,4,1}, {2,2,5,1,1,1,1,4}},
1166   {{2,1,4,3,3,2,1,1}, {1,1,4,4,1,1,4,1}, {3,2,5,1,1,1,2,2}},
1167   {{1,3,2,5,2,1,1,2}, {4,5,1,1,1,1,1,3}, {2,2,5,1,1,2,1,3}},
1168   {{1,2,3,4,3,1,1,2}, {4,5,1,1,1,2,1,2}, {3,2,5,1,1,2,2,1}},
1169   {{1,1,4,3,4,1,1,2}, {4,5,1,1,1,3,1,1}, {2,2,5,1,1,3,1,2}},
1170   {{1,1,4,3,4,2,1,1}, {3,5,1,1,2,1,1,3}, {2,2,5,1,1,4,1,1}},
1171   {{1,5,1,1,1,1,1,6}, {4,5,1,1,2,1,2,1}, {1,3,4,2,1,1,1,4}},
1172   {{1,5,1,1,1,2,1,5}, {3,5,1,1,2,2,1,2}, {2,3,4,2,1,1,2,2}},
1173   {{2,5,1,1,1,2,2,3}, {3,5,1,1,2,3,1,1}, {1,2,5,1,2,1,1,4}},
1174   {{1,5,1,1,1,3,1,4}, {2,5,1,1,3,1,1,3}, {2,2,5,1,2,1,2,2}},
1175   {{1,5,1,1,1,4,1,3}, {3,5,1,1,3,1,2,1}, {2,3,4,2,1,2,2,1}},
1176   {{1,5,1,1,1,5,1,2}, {2,5,1,1,3,2,1,2}, {1,2,5,1,2,2,1,3}},
1177   {{1,5,1,1,2,1,2,4}, {2,5,1,1,3,3,1,1}, {1,3,4,2,1,3,1,2}},
1178   {{1,5,1,1,2,2,2,3}, {1,5,1,1,4,1,1,3}, {1,2,5,1,2,3,1,2}},
1179   {{1,5,1,1,2,3,2,2}, {2,5,1,1,4,1,2,1}, {1,3,4,2,1,4,1,1}},
1180   {{1,5,1,1,2,4,2,1}, {1,5,1,1,4,2,1,2}, {1,2,5,1,2,4,1,1}},
1181   {{1,5,1,1,3,1,3,2}, {1,5,1,1,4,3,1,1}, {1,4,3,3,1,1,2,2}},
1182   {{1,5,1,1,3,2,3,1}, {1,5,1,1,5,1,2,1}, {1,3,4,2,2,1,2,2}},
1183   {{2,4,2,1,1,1,1,5}, {5,4,2,1,1,1,1,2}, {1,4,3,3,1,2,2,1}},
1184   {{2,4,2,1,1,2,1,4}, {1,4,2,1,1,1,6,1}, {1,2,5,1,3,1,2,2}},
1185   {{3,4,2,1,1,2,2,2}, {5,4,2,1,1,2,1,1}, {1,3,4,2,2,2,2,1}},
1186   {{2,4,2,1,1,3,1,3}, {4,5,1,2,1,1,1,2}, {1,2,5,1,3,2,2,1}},
1187   {{3,4,2,1,1,3,2,1}, {4,4,2,1,2,1,1,2}, {3,1,6,1,1,1,1,3}},
1188   {{2,4,2,1,1,4,1,2}, {4,5,1,2,1,2,1,1}, {4,1,6,1,1,1,2,1}},
1189   {{2,4,2,1,1,5,1,1}, {4,4,2,1,2,2,1,1}, {3,1,6,1,1,2,1,2}},
1190   {{1,5,1,2,1,1,1,5}, {3,5,1,2,2,1,1,2}, {3,1,6,1,1,3,1,1}},
1191   {{2,5,1,2,1,1,2,3}, {3,4,2,1,3,1,1,2}, {2,2,5,2,1,1,1,3}},
1192   {{1,4,2,1,2,1,1,5}, {3,5,1,2,2,2,1,1}, {3,2,5,2,1,1,2,1}},
1193   {{2,4,2,1,2,1,2,3}, {3,4,2,1,3,2,1,1}, {2,1,6,1,2,1,1,3}},
1194   {{2,5,1,2,1,2,2,2}, {2,5,1,2,3,1,1,2}, {2,2,5,2,1,2,1,2}},
1195   {{1,4,2,1,2,2,1,4}, {2,4,2,1,4,1,1,2}, {2,1,6,1,2,2,1,2}},
1196   {{2,4,2,1,2,2,2,2}, {2,5,1,2,3,2,1,1}, {2,2,5,2,1,3,1,1}},
1197   {{1,4,2,1,2,3,1,3}, {2,4,2,1,4,2,1,1}, {2,1,6,1,2,3,1,1}},
1198   {{2,4,2,1,2,3,2,1}, {1,5,1,2,4,1,1,2}, {1,3,4,3,1,1,1,3}},
1199   {{1,4,2,1,2,4,1,2}, {1,4,2,1,5,1,1,2}, {2,3,4,3,1,1,2,1}},
1200   {{1,5,1,2,1,5,1,1}, {1,5,1,2,4,2,1,1}, {1,2,5,2,2,1,1,3}},
1201   {{1,4,2,1,2,5,1,1}, {1,4,2,1,5,2,1,1}, {1,3,4,3,1,2,1,2}},
1202   {{1,5,1,2,2,1,2,3}, {6,3,3,1,1,1,1,1}, {1,1,6,1,3,1,1,3}},
1203   {{2,5,1,2,2,1,3,1}, {1,3,3,1,1,1,5,2}, {1,2,5,2,2,2,1,2}},
1204   {{1,4,2,1,3,1,2,3}, {1,3,3,1,1,2,5,1}, {1,3,4,3,1,3,1,1}},
1205   {{2,4,2,1,3,1,3,1}, {5,4,2,2,1,1,1,1}, {1,1,6,1,3,2,1,2}},
1206   {{1,4,2,1,3,2,2,2}, {5,3,3,1,2,1,1,1}, {1,2,5,2,2,3,1,1}},
1207   {{1,5,1,2,2,3,2,1}, {4,5,1,3,1,1,1,1}, {1,1,6,1,3,3,1,1}},
1208   {{1,4,2,1,3,3,2,1}, {4,4,2,2,2,1,1,1}, {1,4,3,4,1,1,2,1}},
1209   {{1,5,1,2,3,1,3,1}, {4,3,3,1,3,1,1,1}, {1,3,4,3,2,1,2,1}},
1210   {{1,4,2,1,4,1,3,1}, {3,5,1,3,2,1,1,1}, {1,2,5,2,3,1,2,1}},
1211   {{3,3,3,1,1,1,1,4}, {3,4,2,2,3,1,1,1}, {1,1,6,1,4,1,2,1}},
1212   {{3,3,3,1,1,2,1,3}, {3,3,3,1,4,1,1,1}, {3,1,6,2,1,1,1,2}},
1213   {{3,3,3,1,1,3,1,2}, {2,5,1,3,3,1,1,1}, {3,1,6,2,1,2,1,1}},
1214   {{3,3,3,1,1,4,1,1}, {2,4,2,2,4,1,1,1}, {2,2,5,3,1,1,1,2}},
1215   {{2,4,2,2,1,1,1,4}, {2,3,3,1,5,1,1,1}, {2,1,6,2,2,1,1,2}},
1216   {{2,3,3,1,2,1,1,4}, {1,5,1,3,4,1,1,1}, {2,2,5,3,1,2,1,1}},
1217   {{3,3,3,1,2,1,2,2}, {1,4,2,2,5,1,1,1}, {2,1,6,2,2,2,1,1}},
1218   {{3,4,2,2,1,2,2,1}, {1,3,3,1,6,1,1,1}, {1,3,4,4,1,1,1,2}},
1219   {{2,3,3,1,2,2,1,3}, {1,2,4,1,1,1,4,3}, {1,2,5,3,2,1,1,2}},
1220   {{3,3,3,1,2,2,2,1}, {2,2,4,1,1,1,5,1}, {1,3,4,4,1,2,1,1}},
1221   {{2,3,3,1,2,3,1,2}, {1,2,4,1,1,2,4,2}, {1,1,6,2,3,1,1,2}},
1222   {{2,4,2,2,1,4,1,1}, {1,2,4,1,1,3,4,1}, {1,2,5,3,2,2,1,1}},
1223   {{2,3,3,1,2,4,1,1}, {1,3,3,2,1,1,5,1}, {1,1,6,2,3,2,1,1}},
1224   {{1,5,1,3,1,1,1,4}, {1,2,4,1,2,1,5,1}, {3,1,6,3,1,1,1,1}},
1225   {{1,4,2,2,2,1,1,4}, {1,1,5,1,1,1,3,4}, {2,2,5,4,1,1,1,1}},
1226   {{1,5,1,3,1,2,1,3}, {2,1,5,1,1,1,4,2}, {2,1,6,3,2,1,1,1}},
1227   {{2,5,1,3,1,2,2,1}, {1,1,5,1,1,2,3,3}, {1,3,4,5,1,1,1,1}},
1228   {{1,3,3,1,3,1,1,4}, {2,1,5,1,1,2,4,1}, {1,2,5,4,2,1,1,1}},
1229   {{1,4,2,2,2,2,1,3}, {1,1,5,1,1,3,3,2}, {1,1,6,3,3,1,1,1}},
1230   {{1,5,1,3,1,3,1,2}, {1,1,5,1,1,4,3,1}, {1,6,2,1,1,1,3,2}},
1231   {{1,3,3,1,3,2,1,3}, {1,2,4,2,1,1,4,2}, {1,6,2,1,1,2,3,1}},
1232   {{1,4,2,2,2,3,1,2}, {1,1,5,1,2,1,4,2}, {1,5,3,1,1,1,2,3}},
1233   {{1,5,1,3,1,4,1,1}, {1,2,4,2,1,2,4,1}, {2,5,3,1,1,1,3,1}},
1234   {{1,3,3,1,3,3,1,2}, {1,1,5,1,2,2,4,1}, {1,5,3,1,1,2,2,2}},
1235   {{1,4,2,2,2,4,1,1}, {1,1,5,2,1,1,3,3}, {1,5,3,1,1,3,2,1}},
1236   {{1,5,1,3,2,1,2,2}, {2,1,5,2,1,1,4,1}, {1,6,2,2,1,1,3,1}},
1237   {{1,4,2,2,3,1,2,2}, {1,1,5,2,1,2,3,2}, {1,5,3,1,2,1,3,1}},
1238   {{1,5,1,3,2,2,2,1}, {1,1,5,2,1,3,3,1}, {1,4,4,1,1,1,1,4}},
1239   {{1,3,3,1,4,1,2,2}, {1,2,4,3,1,1,4,1}, {2,4,4,1,1,1,2,2}},
1240   {{1,4,2,2,3,2,2,1}, {1,1,5,2,2,1,4,1}, {1,4,4,1,1,2,1,3}},
1241   {{1,3,3,1,4,2,2,1}, {1,1,5,3,1,1,3,2}, {2,4,4,1,1,2,2,1}},
1242   {{4,2,4,1,1,1,1,3}, {1,1,5,3,1,2,3,1}, {1,4,4,1,1,3,1,2}},
1243   {{4,2,4,1,1,2,1,2}, {1,1,5,4,1,1,3,1}, {1,4,4,1,1,4,1,1}},
1244   {{4,2,4,1,1,3,1,1}, {3,6,1,1,2,1,1,2}, {1,5,3,2,1,1,2,2}},
1245   {{3,3,3,2,1,1,1,3}, {3,6,1,1,2,2,1,1}, {1,4,4,1,2,1,2,2}},
1246   {{3,2,4,1,2,1,1,3}, {2,6,1,1,3,1,1,2}, {1,5,3,2,1,2,2,1}},
1247   {{4,2,4,1,2,1,2,1}, {2,6,1,1,3,2,1,1}, {1,4,4,1,2,2,2,1}},
1248   {{3,2,4,1,2,2,1,2}, {1,6,1,1,4,1,1,2}, {2,3,5,1,1,1,1,3}},
1249   {{3,3,3,2,1,3,1,1}, {1,6,1,1,4,2,1,1}, {3,3,5,1,1,1,2,1}},
1250   {{3,2,4,1,2,3,1,1}, {4,5,2,1,2,1,1,1}, {2,3,5,1,1,2,1,2}},
1251   {{2,4,2,3,1,1,1,3}, {3,6,1,2,2,1,1,1}, {2,3,5,1,1,3,1,1}},
1252   {{3,4,2,3,1,1,2,1}, {3,5,2,1,3,1,1,1}, {1,4,4,2,1,1,1,3}},
1253   {{2,3,3,2,2,1,1,3}, {2,6,1,2,3,1,1,1}, {2,4,4,2,1,1,2,1}},
1254   {{3,3,3,2,2,1,2,1}, {2,5,2,1,4,1,1,1}, {1,3,5,1,2,1,1,3}},
1255   {{2,2,4,1,3,1,1,3}, {1,6,1,2,4,1,1,1}, {2,3,5,1,2,1,2,1}},
1256   {{2,3,3,2,2,2,1,2}, {1,5,2,1,5,1,1,1}, {1,3,5,1,2,2,1,2}},
1257   {{2,4,2,3,1,3,1,1}, {1,4,3,1,1,1,5,1}, {1,4,4,2,1,3,1,1}},
1258   {{2,2,4,1,3,2,1,2}, {1,3,4,1,1,1,4,2}, {1,3,5,1,2,3,1,1}},
1259   {{2,3,3,2,2,3,1,1}, {1,3,4,1,1,2,4,1}, {1,5,3,3,1,1,2,1}},
1260   {{2,2,4,1,3,3,1,1}, {1,2,5,1,1,1,3,3}, {1,4,4,2,2,1,2,1}},
1261   {{1,5,1,4,1,1,1,3}, {2,2,5,1,1,1,4,1}, {1,3,5,1,3,1,2,1}},
1262   {{2,5,1,4,1,1,2,1}, {1,2,5,1,1,2,3,2}, {3,2,6,1,1,1,1,2}},
1263   {{1,4,2,3,2,1,1,3}, {1,2,5,1,1,3,3,1}, {3,2,6,1,1,2,1,1}},
1264   {{2,4,2,3,2,1,2,1}, {1,3,4,2,1,1,4,1}, {2,3,5,2,1,1,1,2}},
1265   {{1,3,3,2,3,1,1,3}, {1,2,5,1,2,1,4,1}, {2,2,6,1,2,1,1,2}},
1266   {{1,4,2,3,2,2,1,2}, {1,1,6,1,1,1,2,4}, {2,3,5,2,1,2,1,1}},
1267   {{1,5,1,4,1,3,1,1}, {2,1,6,1,1,1,3,2}, {2,2,6,1,2,2,1,1}},
1268   {{1,2,4,1,4,1,1,3}, {1,1,6,1,1,2,2,3}, {1,4,4,3,1,1,1,2}},
1269   {{1,3,3,2,3,2,1,2}, {2,1,6,1,1,2,3,1}, {1,3,5,2,2,1,1,2}},
1270   {{1,4,2,3,2,3,1,1}, {1,1,6,1,1,3,2,2}, {1,4,4,3,1,2,1,1}},
1271   {{1,2,4,1,4,2,1,2}, {1,1,6,1,1,4,2,1}, {1,2,6,1,3,1,1,2}},
1272   {{1,3,3,2,3,3,1,1}, {1,2,5,2,1,1,3,2}, {1,3,5,2,2,2,1,1}},
1273   {{1,5,1,4,2,1,2,1}, {1,1,6,1,2,1,3,2}, {1,2,6,1,3,2,1,1}},
1274   {{1,4,2,3,3,1,2,1}, {1,2,5,2,1,2,3,1}, {3,2,6,2,1,1,1,1}},
1275   {{1,3,3,2,4,1,2,1}, {1,1,6,1,2,2,3,1}, {2,3,5,3,1,1,1,1}},
1276   {{1,2,4,1,5,1,2,1}, {1,1,6,2,1,1,2,3}, {2,2,6,2,2,1,1,1}},
1277   {{5,1,5,1,1,1,1,2}, {2,1,6,2,1,1,3,1}, {1,4,4,4,1,1,1,1}},
1278   {{5,1,5,1,1,2,1,1}, {1,1,6,2,1,2,2,2}, {1,3,5,3,2,1,1,1}},
1279   {{4,2,4,2,1,1,1,2}, {1,1,6,2,1,3,2,1}, {1,2,6,2,3,1,1,1}},
1280   {{4,1,5,1,2,1,1,2}, {1,2,5,3,1,1,3,1}, {1,6,3,1,1,1,2,2}},
1281   {{4,2,4,2,1,2,1,1}, {1,1,6,2,2,1,3,1}, {1,6,3,1,1,2,2,1}},
1282   {{4,1,5,1,2,2,1,1}, {1,1,6,3,1,1,2,2}, {1,5,4,1,1,1,1,3}},
1283   {{3,3,3,3,1,1,1,2}, {1,1,6,3,1,2,2,1}, {2,5,4,1,1,1,2,1}},
1284   {{3,2,4,2,2,1,1,2}, {1,4,4,1,1,1,4,1}, {1,5,4,1,1,2,1,2}},
1285   {{3,3,3,3,1,2,1,1}, {1,3,5,1,1,1,3,2}, {1,5,4,1,1,3,1,1}},
1286   {{3,1,5,1,3,1,1,2}, {1,3,5,1,1,2,3,1}, {1,6,3,2,1,1,2,1}},
1287   {{3,2,4,2,2,2,1,1}, {1,2,6,1,1,1,2,3}, {1,5,4,1,2,1,2,1}},
1288   {{3,1,5,1,3,2,1,1}, {2,2,6,1,1,1,3,1}, {2,4,5,1,1,1,1,2}},
1289   {{2,4,2,4,1,1,1,2}, {1,2,6,1,1,2,2,2}, {2,4,5,1,1,2,1,1}},
1290   {{2,3,3,3,2,1,1,2}, {1,2,6,1,1,3,2,1}, {1,5,4,2,1,1,1,2}},
1291   {{2,4,2,4,1,2,1,1}, {1,3,5,2,1,1,3,1}, {1,4,5,1,2,1,1,2}},
1292   {{2,2,4,2,3,1,1,2}, {1,2,6,1,2,1,3,1}, {1,5,4,2,1,2,1,1}},
1293   {{2,3,3,3,2,2,1,1}, {1,2,6,2,1,1,2,2}, {1,4,5,1,2,2,1,1}},
1294   {{2,1,5,1,4,1,1,2}, {1,2,6,2,1,2,2,1}, {3,3,6,1,1,1,1,1}}
1295 };
1296 
1297 //------------------------------------------------------------------------
1298 
1299 static int makeDataCodewords(GString *value, int *codewords);
1300 static int countNumeric(GString *value, int start);
1301 static int countText(GString *value, int start);
1302 static int countBinary(GString *value, int start);
1303 static GBool makeNumericCodewords(GString *value, int start, int n,
1304 				  int *codewords, int &codewordIdx);
1305 static int divMod900(int *d, int n);
1306 static GBool makeByteCodewords(GString *value, int start, int n,
1307 			       int *codewords, int &codewordIdx);
1308 static GBool makeTextCodewords(GString *value, int start, int n,
1309 			       int *codewords, int &codewordIdx);
1310 static GBool appendTextHalfSymbol(int *codewords, int &codewordIdx,
1311 				  int halfSymbol, int &prevHalfSymbol);
1312 static GBool appendDataCodeword(int *codewords, int &codewordIdx,
1313 				int codeword);
1314 static void makeErrorCorrectionCodewords(int errorCorrectionLevel,
1315 					 int *codewords, int length);
1316 static void drawBarcode(int *codewords, int totalLength,
1317 			int nRows, int nCols,
1318 			int errorCorrectionLevel,
1319 			double moduleWidth, double moduleHeight,
1320 			double fieldWidth, double fieldHeight,
1321 			GString *appearBuf);
1322 static void drawPattern(int &x, int y, char *pattern, int length,
1323 			GString *appearBuf);
1324 
1325 //------------------------------------------------------------------------
1326 
drawPDF417Barcode(double fieldWidth,double fieldHeight,double moduleWidth,double moduleHeight,int errorCorrectionLevel,GString * value,GString * appearBuf)1327 GBool drawPDF417Barcode(double fieldWidth, double fieldHeight,
1328 			double moduleWidth, double moduleHeight,
1329 			int errorCorrectionLevel, GString *value,
1330 			GString *appearBuf) {
1331   int codewords[maxDataCodewords + maxErrorCorrectionCodewords];
1332 
1333   if (moduleWidth <= 0 || moduleHeight <= 0) {
1334     error(errSyntaxError, -1, "Invalid module size in PDF417 barcode");
1335     return gFalse;
1336   }
1337 
1338   // each row contains:
1339   // - left quiet zone (2 modules, minimum)
1340   // - start code (17 modules)
1341   // - left row indicator (17 modules)
1342   // - nCols codewords (17 modules each)
1343   // - right row indicator (17 modules)
1344   // - stop code (18 modules)
1345   // - right quiet zone (2 modules, minimum)
1346   // total = 73 + nCols * 17
1347   int nCols = (int)floor((fieldWidth / moduleWidth - 73) / 17);
1348   if (nCols < 1) {
1349     error(errSyntaxError, -1, "Invalid field size for PDF417 barcode");
1350     return gFalse;
1351   }
1352   if (nCols > 30) {
1353     nCols = 30;
1354   }
1355 
1356   int nDataCodewords = makeDataCodewords(value, codewords);
1357   if (nDataCodewords == maxDataCodewords) {
1358     error(errSyntaxError, -1, "Too many codewords in PDF417 barcode");
1359     return gFalse;
1360   }
1361 
1362   int nErrorCorrectionCodewords = 1 << (errorCorrectionLevel + 1);
1363 
1364   // total codewords = 1 + nDataCodewords + nPadCodewords
1365   //                   + nErrorCorrectionCodewords
1366   int nRows = (1 + nDataCodewords + nErrorCorrectionCodewords + (nCols - 1))
1367               / nCols;
1368   if (nRows < 3) {
1369     nRows = 3;
1370   }
1371   if (nRows > 90) {
1372     error(errSyntaxError, -1, "Too many rows in PDF417 barcode");
1373     return gFalse;
1374   }
1375   int nPadCodewords = nRows * nCols
1376                       - (1 + nDataCodewords + nErrorCorrectionCodewords);
1377   int length = 1 + nDataCodewords + nPadCodewords;
1378   if (length > maxDataCodewords) {
1379     error(errSyntaxError, -1, "Too many codewords in PDF417 barcode");
1380     return gFalse;
1381   }
1382   codewords[0] = length;
1383   for (int i = 1 + nDataCodewords; i < length; ++i) {
1384     codewords[i] = 900;
1385   }
1386 
1387   makeErrorCorrectionCodewords(errorCorrectionLevel, codewords, length);
1388 
1389   // we need at least 3 modules of vertical quiet space above and below
1390   // (the spec says 2, but Adobe seems to use 3)
1391   if (nRows * moduleHeight + 6 * moduleWidth > fieldHeight) {
1392     error(errSyntaxError, -1, "Too many rows in PDF417 barcode");
1393     return gFalse;
1394   }
1395 
1396   // Adobe adjusts the module height to fill the available space
1397   double moduleHeight2 = (fieldHeight - 6 * moduleWidth) / nRows;
1398 
1399   drawBarcode(codewords, length + nErrorCorrectionCodewords,
1400 	      nRows, nCols, errorCorrectionLevel,
1401 	      moduleWidth, moduleHeight2, fieldWidth, fieldHeight,
1402 	      appearBuf);
1403 
1404   return gTrue;
1405 }
1406 
1407 // Generate up to maxDataCodewords-1 codewords in codewords[1 .. m],
1408 // leaving codewords[0] unused.  Returns the number of generated
1409 // codewords (m), or maxDataCodewords if there are too many to fit.
makeDataCodewords(GString * value,int * codewords)1410 static int makeDataCodewords(GString *value, int *codewords) {
1411   GBool textMode = gTrue;
1412   int codewordIdx = 1;
1413   int valueIdx = 0;
1414   while (valueIdx < value->getLength()) {
1415 
1416     int nNumeric = countNumeric(value, valueIdx);
1417     if (nNumeric >= 13) {
1418       if (!appendDataCodeword(codewords, codewordIdx, numericModeLatch) ||
1419 	  !makeNumericCodewords(value, valueIdx, nNumeric,
1420 				codewords, codewordIdx)) {
1421 	return maxDataCodewords;
1422       }
1423       valueIdx += nNumeric;
1424       textMode = gFalse;
1425 
1426     } else {
1427       int nText = countText(value, valueIdx);
1428       if (nText >= 5) {
1429 	if (!textMode) {
1430 	  if (!appendDataCodeword(codewords, codewordIdx, textModeLatch)) {
1431 	    return maxDataCodewords;
1432 	  }
1433 	}
1434 	if (!makeTextCodewords(value, valueIdx, nText,
1435 			       codewords, codewordIdx)) {
1436 	  return maxDataCodewords;
1437 	}
1438 	valueIdx += nText;
1439 	textMode = gTrue;
1440 
1441       } else {
1442 	int nBinary = countBinary(value, valueIdx);
1443 	//~ this doesn't currently use byte mode shift when nBinary==1
1444 	//~   because we don't track the text submode (which is needed
1445 	//~   because we'll return to that submode after the byte shift)
1446 	int code = (nBinary % 6 == 0) ? byteModeLatchMult6
1447 	                              : byteModeLatchNonMult6;
1448 	if (!appendDataCodeword(codewords, codewordIdx, code) ||
1449 	    !makeByteCodewords(value, valueIdx, nBinary,
1450 			       codewords, codewordIdx)) {
1451 	  return maxDataCodewords;
1452 	}
1453 	valueIdx += nBinary;
1454 	textMode = gFalse;
1455       }
1456     }
1457   }
1458 
1459   return codewordIdx - 1;
1460 }
1461 
countNumeric(GString * value,int start)1462 static int countNumeric(GString *value, int start) {
1463   int n = 0;
1464   for (int i = start; i < value->getLength(); ++i) {
1465     char c = value->getChar(i);
1466     if (!(c >= '0' && c <= '9')) {
1467       break;
1468     }
1469     ++n;
1470   }
1471   return n;
1472 }
1473 
countText(GString * value,int start)1474 static int countText(GString *value, int start) {
1475   int n = 0;
1476   for (int i = start; i < value->getLength(); ++i) {
1477     char c = value->getChar(i);
1478     if ((c & 0x80) ||
1479 	(textCompaction[(int)c][0] == 30 &&
1480 	 textCompaction[(int)c][1] == 30 &&
1481 	 textCompaction[(int)c][2] == 30 &&
1482 	 textCompaction[(int)c][3] == 30) ||
1483 	countNumeric(value, i) >= 13) {
1484       break;
1485     }
1486     ++n;
1487   }
1488   return n;
1489 }
1490 
countBinary(GString * value,int start)1491 static int countBinary(GString *value, int start) {
1492   int n = 0;
1493   for (int i = start; i < value->getLength(); ++i) {
1494     if (countNumeric(value, i) >= 13 ||
1495 	countText(value, i) >= 5) {
1496       break;
1497     }
1498     ++n;
1499   }
1500   return n;
1501 }
1502 
makeNumericCodewords(GString * value,int start,int n,int * codewords,int & codewordIdx)1503 static GBool makeNumericCodewords(GString *value, int start, int n,
1504 				  int *codewords, int &codewordIdx) {
1505   for (int i = 0; i < n; i += 44) {
1506     int nInDigits = n - i;
1507     if (nInDigits > 44) {
1508       nInDigits = 44;
1509     }
1510     int inDigits[45];
1511     inDigits[0] = 1;
1512     for (int j = 0; j < nInDigits; ++j) {
1513       inDigits[j+1] = value->getChar(start + i + j) - '0';
1514     }
1515     int nOutDigits = 1 + nInDigits / 3;
1516     int outDigits[15];
1517     for (int j = 0; j < nOutDigits; ++j) {
1518       outDigits[nOutDigits - 1 - j] = divMod900(inDigits, nInDigits + 1);
1519     }
1520     for (int j = 0; j < nOutDigits; ++j) {
1521       if (!appendDataCodeword(codewords, codewordIdx, outDigits[j])) {
1522 	return gFalse;
1523       }
1524     }
1525   }
1526   return gTrue;
1527 }
1528 
1529 // Given x = sum(i = 0..n-1, d[i] * 10^(n-1-i))
1530 // Compute x' = x / 900 and return x % 900.
divMod900(int * d,int n)1531 static int divMod900(int *d, int n) {
1532   int r = 0;
1533   for (int i = 0; i < n; ++i) {
1534     int dd = r * 10 + d[i];
1535     d[i] = dd / 900;
1536     r = dd % 900;
1537   }
1538   return r;
1539 }
1540 
makeByteCodewords(GString * value,int start,int n,int * codewords,int & codewordIdx)1541 static GBool makeByteCodewords(GString *value, int start, int n,
1542 			       int *codewords, int &codewordIdx) {
1543   int i;
1544   for (i = 0; i <= n - 6; i += 6) {
1545     long long in = 0;
1546     for (int j = 0; j < 6; ++j) {
1547       in = (in << 8) | (value->getChar(start + i + j) & 0xff);
1548     }
1549     int outCodes[5];
1550     for (int j = 4; j >= 0; --j) {
1551       outCodes[j] = (int)(in % 900);
1552       in /= 900;
1553     }
1554     for (int j = 0; j < 4; ++j) {
1555       if (!appendDataCodeword(codewords, codewordIdx, outCodes[j])) {
1556 	return gFalse;
1557       }
1558     }
1559   }
1560   for (; i < n; ++i) {
1561     if (!appendDataCodeword(codewords, codewordIdx,
1562 			    value->getChar(start + i) & 0xff)) {
1563       return gFalse;
1564     }
1565   }
1566   return gTrue;
1567 }
1568 
makeTextCodewords(GString * value,int start,int n,int * codewords,int & codewordIdx)1569 static GBool makeTextCodewords(GString *value, int start, int n,
1570 			       int *codewords, int &codewordIdx) {
1571   int submode = textSubmodeAlpha;
1572   int prevSubmode = textSubmodeAlpha;
1573   int nextSubmode;
1574   int prevHalfSymbol = 30;
1575   int valueIdx = start;
1576   while (valueIdx < start + n) {
1577     int c = value->getChar(valueIdx) & 0x7f;
1578     nextSubmode = submode;
1579     switch (submode) {
1580     case textSubmodeAlpha:
1581       if (textCompaction[c][textSubmodeAlpha] < 30) {
1582 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1583 				  textCompaction[c][textSubmodeAlpha],
1584 				  prevHalfSymbol)) {
1585 	  return gFalse;
1586 	}
1587 	++valueIdx;
1588       } else if (textCompaction[c][textSubmodeLower] < 30) {
1589 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1590 				  textAlphaLowerLatch, prevHalfSymbol)) {
1591 	  return gFalse;
1592 	}
1593 	nextSubmode = textSubmodeLower;
1594       } else if (textCompaction[c][textSubmodeMixed] < 30) {
1595 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1596 				  textAlphaMixedLatch, prevHalfSymbol)) {
1597 	  return gFalse;
1598 	}
1599 	nextSubmode = textSubmodeMixed;
1600       } else if (textCompaction[c][textSubmodePunc] < 30) {
1601 	if (valueIdx < start + n - 2 &&
1602 	    textCompaction[value->getChar(valueIdx + 1) & 0x7f]
1603 	                  [textSubmodePunc] < 30 &&
1604 	    textCompaction[value->getChar(valueIdx + 2) & 0x7f]
1605 	                  [textSubmodePunc] < 30) {
1606 	  if (!appendTextHalfSymbol(codewords, codewordIdx,
1607 				    textAlphaMixedLatch, prevHalfSymbol) ||
1608 	      !appendTextHalfSymbol(codewords, codewordIdx,
1609 				    textMixedPuncLatch, prevHalfSymbol)) {
1610 	    return gFalse;
1611 	  }
1612 	  nextSubmode = textSubmodePunc;
1613 	} else {
1614 	  if (!appendTextHalfSymbol(codewords, codewordIdx,
1615 				    textAlphaPuncShift, prevHalfSymbol)) {
1616 	    return gFalse;
1617 	  }
1618 	  nextSubmode = textSubmodePuncShift;
1619 	}
1620       } else {
1621 	// this shouldn't happen
1622 	++valueIdx;
1623       }
1624       break;
1625     case textSubmodeAlphaShift:
1626       if (textCompaction[c][textSubmodeAlpha] < 30) {
1627 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1628 				  textCompaction[c][textSubmodeAlpha],
1629 				  prevHalfSymbol)) {
1630 	  return gFalse;
1631 	}
1632 	++valueIdx;
1633       } else {
1634 	// this shouldn't happen
1635 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1636 				  0, prevHalfSymbol)) {
1637 	  return gFalse;
1638 	}
1639       }
1640       nextSubmode = prevSubmode;
1641       break;
1642     case textSubmodeLower:
1643       if (textCompaction[c][textSubmodeAlpha] < 30) {
1644 	if (valueIdx < start + n - 2 &&
1645 	    textCompaction[value->getChar(valueIdx + 1) & 0x7f]
1646 	                  [textSubmodeAlpha] < 30 &&
1647 	    textCompaction[value->getChar(valueIdx + 2) & 0x7f]
1648 	                  [textSubmodeAlpha] < 30) {
1649 	  if (!appendTextHalfSymbol(codewords, codewordIdx,
1650 				    textLowerMixedLatch, prevHalfSymbol) ||
1651 	      !appendTextHalfSymbol(codewords, codewordIdx,
1652 				    textMixedAlphaLatch, prevHalfSymbol)) {
1653 	    return gFalse;
1654 	  }
1655 	  nextSubmode = textSubmodeAlpha;
1656 	} else {
1657 	  if (!appendTextHalfSymbol(codewords, codewordIdx,
1658 				    textLowerAlphaShift, prevHalfSymbol)) {
1659 	    return gFalse;
1660 	  }
1661 	  nextSubmode = textSubmodeAlphaShift;
1662 	}
1663       } else if (textCompaction[c][textSubmodeLower] < 30) {
1664 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1665 				  textCompaction[c][textSubmodeLower],
1666 				  prevHalfSymbol)) {
1667 	  return gFalse;
1668 	}
1669 	++valueIdx;
1670       } else if (textCompaction[c][textSubmodeMixed] < 30) {
1671 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1672 				  textLowerMixedLatch, prevHalfSymbol)) {
1673 	  return gFalse;
1674 	}
1675 	nextSubmode = textSubmodeMixed;
1676       } else if (textCompaction[c][textSubmodePunc] < 30) {
1677 	if (valueIdx < start + n - 2 &&
1678 	    textCompaction[value->getChar(valueIdx + 1) & 0x7f]
1679 	                  [textSubmodePunc] < 30 &&
1680 	    textCompaction[value->getChar(valueIdx + 2) & 0x7f]
1681 	                  [textSubmodePunc] < 30) {
1682 	  if (!appendTextHalfSymbol(codewords, codewordIdx,
1683 				    textLowerMixedLatch, prevHalfSymbol) ||
1684 	      !appendTextHalfSymbol(codewords, codewordIdx,
1685 				    textMixedPuncLatch, prevHalfSymbol)) {
1686 	    return gFalse;
1687 	  }
1688 	  nextSubmode = textSubmodePunc;
1689 	} else {
1690 	  if (!appendTextHalfSymbol(codewords, codewordIdx,
1691 				    textLowerPuncShift, prevHalfSymbol)) {
1692 	    return gFalse;
1693 	  }
1694 	  nextSubmode = textSubmodePuncShift;
1695 	}
1696       } else {
1697 	// this shouldn't happen
1698 	++valueIdx;
1699       }
1700       break;
1701     case textSubmodeMixed:
1702       if (textCompaction[c][textSubmodeAlpha] < 30) {
1703 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1704 				  textMixedAlphaLatch, prevHalfSymbol)) {
1705 	  return gFalse;
1706 	}
1707 	nextSubmode = textSubmodeAlpha;
1708       } else if (textCompaction[c][textSubmodeLower] < 30) {
1709 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1710 				  textMixedLowerLatch, prevHalfSymbol)) {
1711 	  return gFalse;
1712 	}
1713 	nextSubmode = textSubmodeLower;
1714       } else if (textCompaction[c][textSubmodeMixed] < 30) {
1715 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1716 				  textCompaction[c][textSubmodeMixed],
1717 				  prevHalfSymbol)) {
1718 	  return gFalse;
1719 	}
1720 	++valueIdx;
1721       } else if (textCompaction[c][textSubmodePunc] < 30) {
1722 	if (valueIdx < start + n - 1 &&
1723 	    textCompaction[value->getChar(valueIdx + 1) & 0x7f]
1724 	                  [textSubmodePunc] < 30) {
1725 	  if (!appendTextHalfSymbol(codewords, codewordIdx,
1726 				    textMixedPuncLatch, prevHalfSymbol)) {
1727 	    return gFalse;
1728 	  }
1729 	  nextSubmode = textSubmodePunc;
1730 	} else {
1731 	  if (!appendTextHalfSymbol(codewords, codewordIdx,
1732 				    textMixedPuncShift, prevHalfSymbol)) {
1733 	    return gFalse;
1734 	  }
1735 	  nextSubmode = textSubmodePuncShift;
1736 	}
1737       } else {
1738 	// this shouldn't happen
1739 	++valueIdx;
1740       }
1741       break;
1742     case textSubmodePunc:
1743       if (textCompaction[c][textSubmodeAlpha] < 30) {
1744 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1745 				  textPuncAlphaLatch, prevHalfSymbol)) {
1746 	  return gFalse;
1747 	}
1748 	nextSubmode = textSubmodeAlpha;
1749       } else if (textCompaction[c][textSubmodeLower] < 30) {
1750 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1751 				  textPuncAlphaLatch, prevHalfSymbol) ||
1752 	    !appendTextHalfSymbol(codewords, codewordIdx,
1753 				  textAlphaLowerLatch, prevHalfSymbol)) {
1754 	  return gFalse;
1755 	}
1756 	nextSubmode = textSubmodeLower;
1757       } else if (textCompaction[c][textSubmodeMixed] < 30) {
1758 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1759 				  textPuncAlphaLatch, prevHalfSymbol) ||
1760 	    !appendTextHalfSymbol(codewords, codewordIdx,
1761 				  textAlphaMixedLatch, prevHalfSymbol)) {
1762 	  return gFalse;
1763 	}
1764 	nextSubmode = textSubmodeMixed;
1765       } else if (textCompaction[c][textSubmodePunc] < 30) {
1766 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1767 				  textCompaction[c][textSubmodePunc],
1768 				  prevHalfSymbol)) {
1769 	  return gFalse;
1770 	}
1771 	++valueIdx;
1772       } else {
1773 	// this shouldn't happen
1774 	++valueIdx;
1775       }
1776       break;
1777     case textSubmodePuncShift:
1778       if (textCompaction[c][textSubmodePunc] < 30) {
1779 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1780 				  textCompaction[c][textSubmodePunc],
1781 				  prevHalfSymbol)) {
1782 	  return gFalse;
1783 	}
1784 	++valueIdx;
1785       } else {
1786 	// this shouldn't happen
1787 	if (!appendTextHalfSymbol(codewords, codewordIdx,
1788 				  0, prevHalfSymbol)) {
1789 	  return gFalse;
1790 	}
1791       }
1792       nextSubmode = prevSubmode;
1793       break;
1794     }
1795     prevSubmode = submode;
1796     submode = nextSubmode;
1797   }
1798 
1799   // padding
1800   if (prevHalfSymbol < 30) {
1801     appendTextHalfSymbol(codewords, codewordIdx, 29, prevHalfSymbol);
1802   }
1803 
1804   return gTrue;
1805 }
1806 
appendTextHalfSymbol(int * codewords,int & codewordIdx,int halfSymbol,int & prevHalfSymbol)1807 static GBool appendTextHalfSymbol(int *codewords, int &codewordIdx,
1808 				  int halfSymbol, int &prevHalfSymbol) {
1809   if (prevHalfSymbol == 30) {
1810     prevHalfSymbol = halfSymbol;
1811   } else {
1812     int codeword = prevHalfSymbol * 30 + halfSymbol;
1813     if (!appendDataCodeword(codewords, codewordIdx, codeword)) {
1814       return gFalse;
1815     }
1816     prevHalfSymbol = 30;
1817   }
1818   return gTrue;
1819 }
1820 
appendDataCodeword(int * codewords,int & codewordIdx,int codeword)1821 static GBool appendDataCodeword(int *codewords, int &codewordIdx,
1822 				int codeword) {
1823   if (codewordIdx >= maxDataCodewords) {
1824     return gFalse;
1825   }
1826   codewords[codewordIdx++] = codeword;
1827   return gTrue;
1828 }
1829 
1830 // Compute the error correction codewords and add to codewords[].
makeErrorCorrectionCodewords(int errorCorrectionLevel,int * codewords,int length)1831 static void makeErrorCorrectionCodewords(int errorCorrectionLevel,
1832 					 int *codewords, int length) {
1833   int e[1 << (maxErrorCorrectionLevel + 1)];
1834   int k = 1 << (errorCorrectionLevel + 1);
1835   for (int i = 0; i < k; ++i) {
1836     e[i] = 0;
1837   }
1838   for (int i = 0; i < length; ++i) {
1839     int t1 = (codewords[i] + e[k-1]) % 929;
1840     int t2, t3;
1841     for (int j = k-1; j >= 1; --j) {
1842       t2 = (t1 * errorCorrectionCoeff[errorCorrectionLevel][j]) % 929;
1843       t3 = 929 - t2;
1844       e[j] = (e[j-1] + t3) % 929;
1845     }
1846     t2 = (t1 * errorCorrectionCoeff[errorCorrectionLevel][0]) % 929;
1847     t3 = 929 - t2;
1848     e[0] = t3 % 929;
1849   }
1850   int j = length;
1851   for (int i = k-1; i >= 0; --i) {
1852     int ee = e[i] ? (929 - e[i]) : 0;
1853     codewords[j++] = ee;
1854   }
1855 }
1856 
1857 // Draw the barcode in the rectangle (0, 0, fieldWidth, fieldHeight).
drawBarcode(int * codewords,int totalLength,int nRows,int nCols,int errorCorrectionLevel,double moduleWidth,double moduleHeight,double fieldWidth,double fieldHeight,GString * appearBuf)1858 static void drawBarcode(int *codewords, int totalLength,
1859 			int nRows, int nCols,
1860 			int errorCorrectionLevel,
1861 			double moduleWidth, double moduleHeight,
1862 			double fieldWidth, double fieldHeight,
1863 			GString *appearBuf) {
1864   double w = (73 + nCols * 17) * moduleWidth;
1865   double h = nRows * moduleHeight;
1866   double x0 = 0.5 * (fieldWidth - w);
1867   double y0 = 0.5 * (fieldHeight - h);
1868 
1869   appearBuf->append("0 g q\n");
1870   appearBuf->appendf("{0:.4f} 0 0 {1:.4f} {2:.4f} {3:.4f} cm\n",
1871 		     moduleWidth, moduleHeight, x0, y0);
1872 
1873   int i = 0;
1874   for (int row = 0; row < nRows; ++row) {
1875     int cluster = row % 3;
1876     int y = nRows - 1 - row;
1877     int left = 0;
1878     int right = 0;
1879     switch (cluster) {
1880     case 0:
1881       left = 30 * (row / 3) + (nRows - 1) / 3;
1882       right = 30 * (row / 3) + (nCols - 1);
1883       break;
1884     case 1:
1885       left = 30 * (row / 3) + (errorCorrectionLevel * 3) + (nRows - 1) % 3;
1886       right = 30 * (row / 3) + (nRows - 1) / 3;
1887       break;
1888     case 2:
1889       left = 30 * (row / 3) + (nCols - 1);
1890       right = 30 * (row / 3) + (errorCorrectionLevel * 3) + (nRows - 1) % 3;
1891       break;
1892     }
1893     int x = 0;
1894     drawPattern(x, y, startPattern, startPatternLength, appearBuf);
1895     drawPattern(x, y, patterns[left][cluster], patternLength, appearBuf);
1896     for (int col = 0; col < nCols; ++col) {
1897       drawPattern(x, y, patterns[codewords[i]][cluster], patternLength,
1898 		  appearBuf);
1899       ++i;
1900     }
1901     drawPattern(x, y, patterns[right][cluster], patternLength, appearBuf);
1902     drawPattern(x, y, stopPattern, stopPatternLength, appearBuf);
1903   }
1904 
1905   appearBuf->append("Q\n");
1906 }
1907 
drawPattern(int & x,int y,char * pattern,int length,GString * appearBuf)1908 static void drawPattern(int &x, int y, char *pattern, int length,
1909 			GString *appearBuf) {
1910   for (int i = 0; i < length; ++i) {
1911     if (!(i & 1)) {
1912       appearBuf->appendf("{0:d} {1:d} {2:d} 1 re f\n", x, y, pattern[i]);
1913     }
1914     x += pattern[i];
1915   }
1916 }
1917