2018 XCSP3 competition: sequential solvers tracks: solvers results per benchmarks

Result page for benchmark
NurseRostering/
NurseRostering-11_c18.xml

Jump to solvers results

General information on the benchmark

NameNurseRostering/
NurseRostering-11_c18.xml
MD5SUM05c4130aaeb0756e89b7f80c2b4d0b20
Bench CategoryCOP (optimization problem)
Best result obtained on this benchmarkSAT
Best value of the objective obtained on this benchmark9322
Best CPU time to get the best result obtained on this benchmark2520.13
Satisfiable
(Un)Satisfiability was proved
Number of variables2678
Number of constraints6759
Number of domains17
Minimum domain size1
Maximum domain size51
Distribution of domain sizes[{"size":1,"count":124},{"size":2,"count":536},{"size":7,"count":1400},{"size":29,"count":254},{"size":51,"count":364}]
Minimum variable degree2
Maximum variable degree31
Distribution of variable degrees[{"degree":2,"count":1078},{"degree":3,"count":200},{"degree":19,"count":42},{"degree":20,"count":50},{"degree":21,"count":8},{"degree":22,"count":36},{"degree":23,"count":52},{"degree":24,"count":78},{"degree":25,"count":85},{"degree":26,"count":95},{"degree":27,"count":362},{"degree":28,"count":348},{"degree":29,"count":159},{"degree":30,"count":69},{"degree":31,"count":16}]
Minimum constraint arity2
Maximum constraint arity100
Distribution of constraint arities[{"arity":2,"count":2382},{"arity":3,"count":2340},{"arity":4,"count":300},{"arity":6,"count":920},{"arity":7,"count":270},{"arity":29,"count":350},{"arity":51,"count":196},{"arity":100,"count":1}]
Number of extensional constraints1546
Number of intensional constraints836
Distribution of constraint types[{"type":"extension","count":1546},{"type":"intension","count":836},{"type":"regular","count":2590},{"type":"sum","count":100},{"type":"count","count":1686},{"type":"instantiation","count":1}]
Optimization problemYES
Type of objectivemin SUM

Results of the different solvers on this benchmark

Solver NameTraceIDAnswerobjective functionCPU timeWall clock time
Choco-solver 4.0.7 seq (493a269) (complete)4292360SAT (TO)9322 2400.14 2387.72
Choco-solver 4.0.7b seq (e747e1e) (complete)4306654SAT (TO)9322 2520.13 2508.03
cosoco 1.12 (complete)4292987SAT (TO)37778 2519.79 2520.01
OscaR - Hybrid 2018-07-02 (complete)4291602? (TO) 2400.05 2381.92
Mistral-2.0 2018-06-15 (complete)4289295? (TO) 2400.07 2400.2
OscaR - Conflict Ordering with restarts 2018-07-02 (complete)4290404? (TO) 2400.08 2382.12
Sat4j-CSP 2018-07-11 (complete)4289917? (TO) 2400.21 2384.1
PicatSAT 2018-08-14 (complete)4309470? (TO) 2519.69 2520.01
PicatSAT 2018-08-02 (complete)4303130? (TO) 2519.84 2520.02
PicatSAT 2018-06-15 (complete)4292988? (TO) 2519.95 2520.01
Mistral-2.0 2018-08-01 (complete)4303716? (TO) 2520.03 2520.01
Concrete 3.9.2-SuperNG (complete)4304182? (TO) 2520.06 2444.83
OscaR - Hybrid 2018-08-14 (complete)4308534? (TO) 2520.08 2498.03
OscaR - Conflict Ordering with restarts 2018-08-17 (complete)4311684? (TO) 2520.09 2500.21
OscaR - Conflict Ordering with restarts 2018-08-14 (complete)4307948? (TO) 2520.1 2500.02
Concrete 3.9.2 (complete)4304181? (TO) 2520.14 2450.11
Concrete 3.8 2018-06-13 (complete)4292985Wrong Cert. 2520.08 2445.64
Concrete 3.8-SuperNG 2018-06-13 (complete)4292986Wrong Cert. 2520.14 2363.06

Additionnal information

This section presents information obtained from the best job displayed in the list (i.e. solvers whose names are not hidden).

objective function: 9322
Solution found:
<instantiation> <list>x[0][0] x[0][1] x[0][2] x[0][3] x[0][4] x[0][5] x[0][6] x[0][7] x[0][8] x[0][9] x[0][10] x[0][11] x[0][12] x[0][13]
x[0][14] x[0][15] x[0][16] x[0][17] x[0][18] x[0][19] x[0][20] x[0][21] x[0][22] x[0][23] x[0][24] x[0][25] x[0][26] x[0][27] x[0][28]
x[0][29] x[0][30] x[0][31] x[0][32] x[0][33] x[0][34] x[0][35] x[0][36] x[0][37] x[0][38] x[0][39] x[0][40] x[0][41] x[0][42] x[0][43]
x[0][44] x[0][45] x[0][46] x[0][47] x[0][48] x[0][49] x[1][0] x[1][1] x[1][2] x[1][3] x[1][4] x[1][5] x[1][6] x[1][7] x[1][8] x[1][9]
x[1][10] x[1][11] x[1][12] x[1][13] x[1][14] x[1][15] x[1][16] x[1][17] x[1][18] x[1][19] x[1][20] x[1][21] x[1][22] x[1][23] x[1][24]
x[1][25] x[1][26] x[1][27] x[1][28] x[1][29] x[1][30] x[1][31] x[1][32] x[1][33] x[1][34] x[1][35] x[1][36] x[1][37] x[1][38] x[1][39]
x[1][40] x[1][41] x[1][42] x[1][43] x[1][44] x[1][45] x[1][46] x[1][47] x[1][48] x[1][49] x[2][0] x[2][1] x[2][2] x[2][3] x[2][4] x[2][5]
x[2][6] x[2][7] x[2][8] x[2][9] x[2][10] x[2][11] x[2][12] x[2][13] x[2][14] x[2][15] x[2][16] x[2][17] x[2][18] x[2][19] x[2][20] x[2][21]
x[2][22] x[2][23] x[2][24] x[2][25] x[2][26] x[2][27] x[2][28] x[2][29] x[2][30] x[2][31] x[2][32] x[2][33] x[2][34] x[2][35] x[2][36]
x[2][37] x[2][38] x[2][39] x[2][40] x[2][41] x[2][42] x[2][43] x[2][44] x[2][45] x[2][46] x[2][47] x[2][48] x[2][49] x[3][0] x[3][1] x[3][2]
x[3][3] x[3][4] x[3][5] x[3][6] x[3][7] x[3][8] x[3][9] x[3][10] x[3][11] x[3][12] x[3][13] x[3][14] x[3][15] x[3][16] x[3][17] x[3][18]
x[3][19] x[3][20] x[3][21] x[3][22] x[3][23] x[3][24] x[3][25] x[3][26] x[3][27] x[3][28] x[3][29] x[3][30] x[3][31] x[3][32] x[3][33]
x[3][34] x[3][35] x[3][36] x[3][37] x[3][38] x[3][39] x[3][40] x[3][41] x[3][42] x[3][43] x[3][44] x[3][45] x[3][46] x[3][47] x[3][48]
x[3][49] x[4][0] x[4][1] x[4][2] x[4][3] x[4][4] x[4][5] x[4][6] x[4][7] x[4][8] x[4][9] x[4][10] x[4][11] x[4][12] x[4][13] x[4][14]
x[4][15] x[4][16] x[4][17] x[4][18] x[4][19] x[4][20] x[4][21] x[4][22] x[4][23] x[4][24] x[4][25] x[4][26] x[4][27] x[4][28] x[4][29]
x[4][30] x[4][31] x[4][32] x[4][33] x[4][34] x[4][35] x[4][36] x[4][37] x[4][38] x[4][39] x[4][40] x[4][41] x[4][42] x[4][43] x[4][44]
x[4][45] x[4][46] x[4][47] x[4][48] x[4][49] x[5][0] x[5][1] x[5][2] x[5][3] x[5][4] x[5][5] x[5][6] x[5][7] x[5][8] x[5][9] x[5][10]
x[5][11] x[5][12] x[5][13] x[5][14] x[5][15] x[5][16] x[5][17] x[5][18] x[5][19] x[5][20] x[5][21] x[5][22] x[5][23] x[5][24] x[5][25]
x[5][26] x[5][27] x[5][28] x[5][29] x[5][30] x[5][31] x[5][32] x[5][33] x[5][34] x[5][35] x[5][36] x[5][37] x[5][38] x[5][39] x[5][40]
x[5][41] x[5][42] x[5][43] x[5][44] x[5][45] x[5][46] x[5][47] x[5][48] x[5][49] x[6][0] x[6][1] x[6][2] x[6][3] x[6][4] x[6][5] x[6][6]
x[6][7] x[6][8] x[6][9] x[6][10] x[6][11] x[6][12] x[6][13] x[6][14] x[6][15] x[6][16] x[6][17] x[6][18] x[6][19] x[6][20] x[6][21] x[6][22]
x[6][23] x[6][24] x[6][25] x[6][26] x[6][27] x[6][28] x[6][29] x[6][30] x[6][31] x[6][32] x[6][33] x[6][34] x[6][35] x[6][36] x[6][37]
x[6][38] x[6][39] x[6][40] x[6][41] x[6][42] x[6][43] x[6][44] x[6][45] x[6][46] x[6][47] x[6][48] x[6][49] x[7][0] x[7][1] x[7][2] x[7][3]
x[7][4] x[7][5] x[7][6] x[7][7] x[7][8] x[7][9] x[7][10] x[7][11] x[7][12] x[7][13] x[7][14] x[7][15] x[7][16] x[7][17] x[7][18] x[7][19]
x[7][20] x[7][21] x[7][22] x[7][23] x[7][24] x[7][25] x[7][26] x[7][27] x[7][28] x[7][29] x[7][30] x[7][31] x[7][32] x[7][33] x[7][34]
x[7][35] x[7][36] x[7][37] x[7][38] x[7][39] x[7][40] x[7][41] x[7][42] x[7][43] x[7][44] x[7][45] x[7][46] x[7][47] x[7][48] x[7][49]
x[8][0] x[8][1] x[8][2] x[8][3] x[8][4] x[8][5] x[8][6] x[8][7] x[8][8] x[8][9] x[8][10] x[8][11] x[8][12] x[8][13] x[8][14] x[8][15]
x[8][16] x[8][17] x[8][18] x[8][19] x[8][20] x[8][21] x[8][22] x[8][23] x[8][24] x[8][25] x[8][26] x[8][27] x[8][28] x[8][29] x[8][30]
x[8][31] x[8][32] x[8][33] x[8][34] x[8][35] x[8][36] x[8][37] x[8][38] x[8][39] x[8][40] x[8][41] x[8][42] x[8][43] x[8][44] x[8][45]
x[8][46] x[8][47] x[8][48] x[8][49] x[9][0] x[9][1] x[9][2] x[9][3] x[9][4] x[9][5] x[9][6] x[9][7] x[9][8] x[9][9] x[9][10] x[9][11]
x[9][12] x[9][13] x[9][14] x[9][15] x[9][16] x[9][17] x[9][18] x[9][19] x[9][20] x[9][21] x[9][22] x[9][23] x[9][24] x[9][25] x[9][26]
x[9][27] x[9][28] x[9][29] x[9][30] x[9][31] x[9][32] x[9][33] x[9][34] x[9][35] x[9][36] x[9][37] x[9][38] x[9][39] x[9][40] x[9][41]
x[9][42] x[9][43] x[9][44] x[9][45] x[9][46] x[9][47] x[9][48] x[9][49] x[10][0] x[10][1] x[10][2] x[10][3] x[10][4] x[10][5] x[10][6]
x[10][7] x[10][8] x[10][9] x[10][10] x[10][11] x[10][12] x[10][13] x[10][14] x[10][15] x[10][16] x[10][17] x[10][18] x[10][19] x[10][20]
x[10][21] x[10][22] x[10][23] x[10][24] x[10][25] x[10][26] x[10][27] x[10][28] x[10][29] x[10][30] x[10][31] x[10][32] x[10][33] x[10][34]
x[10][35] x[10][36] x[10][37] x[10][38] x[10][39] x[10][40] x[10][41] x[10][42] x[10][43] x[10][44] x[10][45] x[10][46] x[10][47] x[10][48]
x[10][49] x[11][0] x[11][1] x[11][2] x[11][3] x[11][4] x[11][5] x[11][6] x[11][7] x[11][8] x[11][9] x[11][10] x[11][11] x[11][12] x[11][13]
x[11][14] x[11][15] x[11][16] x[11][17] x[11][18] x[11][19] x[11][20] x[11][21] x[11][22] x[11][23] x[11][24] x[11][25] x[11][26] x[11][27]
x[11][28] x[11][29] x[11][30] x[11][31] x[11][32] x[11][33] x[11][34] x[11][35] x[11][36] x[11][37] x[11][38] x[11][39] x[11][40] x[11][41]
x[11][42] x[11][43] x[11][44] x[11][45] x[11][46] x[11][47] x[11][48] x[11][49] x[12][0] x[12][1] x[12][2] x[12][3] x[12][4] x[12][5]
x[12][6] x[12][7] x[12][8] x[12][9] x[12][10] x[12][11] x[12][12] x[12][13] x[12][14] x[12][15] x[12][16] x[12][17] x[12][18] x[12][19]
x[12][20] x[12][21] x[12][22] x[12][23] x[12][24] x[12][25] x[12][26] x[12][27] x[12][28] x[12][29] x[12][30] x[12][31] x[12][32] x[12][33]
x[12][34] x[12][35] x[12][36] x[12][37] x[12][38] x[12][39] x[12][40] x[12][41] x[12][42] x[12][43] x[12][44] x[12][45] x[12][46] x[12][47]
x[12][48] x[12][49] x[13][0] x[13][1] x[13][2] x[13][3] x[13][4] x[13][5] x[13][6] x[13][7] x[13][8] x[13][9] x[13][10] x[13][11] x[13][12]
x[13][13] x[13][14] x[13][15] x[13][16] x[13][17] x[13][18] x[13][19] x[13][20] x[13][21] x[13][22] x[13][23] x[13][24] x[13][25] x[13][26]
x[13][27] x[13][28] x[13][29] x[13][30] x[13][31] x[13][32] x[13][33] x[13][34] x[13][35] x[13][36] x[13][37] x[13][38] x[13][39] x[13][40]
x[13][41] x[13][42] x[13][43] x[13][44] x[13][45] x[13][46] x[13][47] x[13][48] x[13][49] x[14][0] x[14][1] x[14][2] x[14][3] x[14][4]
x[14][5] x[14][6] x[14][7] x[14][8] x[14][9] x[14][10] x[14][11] x[14][12] x[14][13] x[14][14] x[14][15] x[14][16] x[14][17] x[14][18]
x[14][19] x[14][20] x[14][21] x[14][22] x[14][23] x[14][24] x[14][25] x[14][26] x[14][27] x[14][28] x[14][29] x[14][30] x[14][31] x[14][32]
x[14][33] x[14][34] x[14][35] x[14][36] x[14][37] x[14][38] x[14][39] x[14][40] x[14][41] x[14][42] x[14][43] x[14][44] x[14][45] x[14][46]
x[14][47] x[14][48] x[14][49] x[15][0] x[15][1] x[15][2] x[15][3] x[15][4] x[15][5] x[15][6] x[15][7] x[15][8] x[15][9] x[15][10] x[15][11]
x[15][12] x[15][13] x[15][14] x[15][15] x[15][16] x[15][17] x[15][18] x[15][19] x[15][20] x[15][21] x[15][22] x[15][23] x[15][24] x[15][25]
x[15][26] x[15][27] x[15][28] x[15][29] x[15][30] x[15][31] x[15][32] x[15][33] x[15][34] x[15][35] x[15][36] x[15][37] x[15][38] x[15][39]
x[15][40] x[15][41] x[15][42] x[15][43] x[15][44] x[15][45] x[15][46] x[15][47] x[15][48] x[15][49] x[16][0] x[16][1] x[16][2] x[16][3]
x[16][4] x[16][5] x[16][6] x[16][7] x[16][8] x[16][9] x[16][10] x[16][11] x[16][12] x[16][13] x[16][14] x[16][15] x[16][16] x[16][17]
x[16][18] x[16][19] x[16][20] x[16][21] x[16][22] x[16][23] x[16][24] x[16][25] x[16][26] x[16][27] x[16][28] x[16][29] x[16][30] x[16][31]
x[16][32] x[16][33] x[16][34] x[16][35] x[16][36] x[16][37] x[16][38] x[16][39] x[16][40] x[16][41] x[16][42] x[16][43] x[16][44] x[16][45]
x[16][46] x[16][47] x[16][48] x[16][49] x[17][0] x[17][1] x[17][2] x[17][3] x[17][4] x[17][5] x[17][6] x[17][7] x[17][8] x[17][9] x[17][10]
x[17][11] x[17][12] x[17][13] x[17][14] x[17][15] x[17][16] x[17][17] x[17][18] x[17][19] x[17][20] x[17][21] x[17][22] x[17][23] x[17][24]
x[17][25] x[17][26] x[17][27] x[17][28] x[17][29] x[17][30] x[17][31] x[17][32] x[17][33] x[17][34] x[17][35] x[17][36] x[17][37] x[17][38]
x[17][39] x[17][40] x[17][41] x[17][42] x[17][43] x[17][44] x[17][45] x[17][46] x[17][47] x[17][48] x[17][49] x[18][0] x[18][1] x[18][2]
x[18][3] x[18][4] x[18][5] x[18][6] x[18][7] x[18][8] x[18][9] x[18][10] x[18][11] x[18][12] x[18][13] x[18][14] x[18][15] x[18][16]
x[18][17] x[18][18] x[18][19] x[18][20] x[18][21] x[18][22] x[18][23] x[18][24] x[18][25] x[18][26] x[18][27] x[18][28] x[18][29] x[18][30]
x[18][31] x[18][32] x[18][33] x[18][34] x[18][35] x[18][36] x[18][37] x[18][38] x[18][39] x[18][40] x[18][41] x[18][42] x[18][43] x[18][44]
x[18][45] x[18][46] x[18][47] x[18][48] x[18][49] x[19][0] x[19][1] x[19][2] x[19][3] x[19][4] x[19][5] x[19][6] x[19][7] x[19][8] x[19][9]
x[19][10] x[19][11] x[19][12] x[19][13] x[19][14] x[19][15] x[19][16] x[19][17] x[19][18] x[19][19] x[19][20] x[19][21] x[19][22] x[19][23]
x[19][24] x[19][25] x[19][26] x[19][27] x[19][28] x[19][29] x[19][30] x[19][31] x[19][32] x[19][33] x[19][34] x[19][35] x[19][36] x[19][37]
x[19][38] x[19][39] x[19][40] x[19][41] x[19][42] x[19][43] x[19][44] x[19][45] x[19][46] x[19][47] x[19][48] x[19][49] x[20][0] x[20][1]
x[20][2] x[20][3] x[20][4] x[20][5] x[20][6] x[20][7] x[20][8] x[20][9] x[20][10] x[20][11] x[20][12] x[20][13] x[20][14] x[20][15]
x[20][16] x[20][17] x[20][18] x[20][19] x[20][20] x[20][21] x[20][22] x[20][23] x[20][24] x[20][25] x[20][26] x[20][27] x[20][28] x[20][29]
x[20][30] x[20][31] x[20][32] x[20][33] x[20][34] x[20][35] x[20][36] x[20][37] x[20][38] x[20][39] x[20][40] x[20][41] x[20][42] x[20][43]
x[20][44] x[20][45] x[20][46] x[20][47] x[20][48] x[20][49] x[21][0] x[21][1] x[21][2] x[21][3] x[21][4] x[21][5] x[21][6] x[21][7] x[21][8]
x[21][9] x[21][10] x[21][11] x[21][12] x[21][13] x[21][14] x[21][15] x[21][16] x[21][17] x[21][18] x[21][19] x[21][20] x[21][21] x[21][22]
x[21][23] x[21][24] x[21][25] x[21][26] x[21][27] x[21][28] x[21][29] x[21][30] x[21][31] x[21][32] x[21][33] x[21][34] x[21][35] x[21][36]
x[21][37] x[21][38] x[21][39] x[21][40] x[21][41] x[21][42] x[21][43] x[21][44] x[21][45] x[21][46] x[21][47] x[21][48] x[21][49] x[22][0]
x[22][1] x[22][2] x[22][3] x[22][4] x[22][5] x[22][6] x[22][7] x[22][8] x[22][9] x[22][10] x[22][11] x[22][12] x[22][13] x[22][14] x[22][15]
x[22][16] x[22][17] x[22][18] x[22][19] x[22][20] x[22][21] x[22][22] x[22][23] x[22][24] x[22][25] x[22][26] x[22][27] x[22][28] x[22][29]
x[22][30] x[22][31] x[22][32] x[22][33] x[22][34] x[22][35] x[22][36] x[22][37] x[22][38] x[22][39] x[22][40] x[22][41] x[22][42] x[22][43]
x[22][44] x[22][45] x[22][46] x[22][47] x[22][48] x[22][49] x[23][0] x[23][1] x[23][2] x[23][3] x[23][4] x[23][5] x[23][6] x[23][7] x[23][8]
x[23][9] x[23][10] x[23][11] x[23][12] x[23][13] x[23][14] x[23][15] x[23][16] x[23][17] x[23][18] x[23][19] x[23][20] x[23][21] x[23][22]
x[23][23] x[23][24] x[23][25] x[23][26] x[23][27] x[23][28] x[23][29] x[23][30] x[23][31] x[23][32] x[23][33] x[23][34] x[23][35] x[23][36]
x[23][37] x[23][38] x[23][39] x[23][40] x[23][41] x[23][42] x[23][43] x[23][44] x[23][45] x[23][46] x[23][47] x[23][48] x[23][49] x[24][0]
x[24][1] x[24][2] x[24][3] x[24][4] x[24][5] x[24][6] x[24][7] x[24][8] x[24][9] x[24][10] x[24][11] x[24][12] x[24][13] x[24][14] x[24][15]
x[24][16] x[24][17] x[24][18] x[24][19] x[24][20] x[24][21] x[24][22] x[24][23] x[24][24] x[24][25] x[24][26] x[24][27] x[24][28] x[24][29]
x[24][30] x[24][31] x[24][32] x[24][33] x[24][34] x[24][35] x[24][36] x[24][37] x[24][38] x[24][39] x[24][40] x[24][41] x[24][42] x[24][43]
x[24][44] x[24][45] x[24][46] x[24][47] x[24][48] x[24][49] x[25][0] x[25][1] x[25][2] x[25][3] x[25][4] x[25][5] x[25][6] x[25][7] x[25][8]
x[25][9] x[25][10] x[25][11] x[25][12] x[25][13] x[25][14] x[25][15] x[25][16] x[25][17] x[25][18] x[25][19] x[25][20] x[25][21] x[25][22]
x[25][23] x[25][24] x[25][25] x[25][26] x[25][27] x[25][28] x[25][29] x[25][30] x[25][31] x[25][32] x[25][33] x[25][34] x[25][35] x[25][36]
x[25][37] x[25][38] x[25][39] x[25][40] x[25][41] x[25][42] x[25][43] x[25][44] x[25][45] x[25][46] x[25][47] x[25][48] x[25][49] x[26][0]
x[26][1] x[26][2] x[26][3] x[26][4] x[26][5] x[26][6] x[26][7] x[26][8] x[26][9] x[26][10] x[26][11] x[26][12] x[26][13] x[26][14] x[26][15]
x[26][16] x[26][17] x[26][18] x[26][19] x[26][20] x[26][21] x[26][22] x[26][23] x[26][24] x[26][25] x[26][26] x[26][27] x[26][28] x[26][29]
x[26][30] x[26][31] x[26][32] x[26][33] x[26][34] x[26][35] x[26][36] x[26][37] x[26][38] x[26][39] x[26][40] x[26][41] x[26][42] x[26][43]
x[26][44] x[26][45] x[26][46] x[26][47] x[26][48] x[26][49] x[27][0] x[27][1] x[27][2] x[27][3] x[27][4] x[27][5] x[27][6] x[27][7] x[27][8]
x[27][9] x[27][10] x[27][11] x[27][12] x[27][13] x[27][14] x[27][15] x[27][16] x[27][17] x[27][18] x[27][19] x[27][20] x[27][21] x[27][22]
x[27][23] x[27][24] x[27][25] x[27][26] x[27][27] x[27][28] x[27][29] x[27][30] x[27][31] x[27][32] x[27][33] x[27][34] x[27][35] x[27][36]
x[27][37] x[27][38] x[27][39] x[27][40] x[27][41] x[27][42] x[27][43] x[27][44] x[27][45] x[27][46] x[27][47] x[27][48] x[27][49] ps[0][0]
ps[0][1] ps[0][2] ps[0][3] ps[0][4] ps[0][5] ps[0][6] ps[1][0] ps[1][1] ps[1][2] ps[1][3] ps[1][4] ps[1][5] ps[1][6] ps[2][0] ps[2][1]
ps[2][2] ps[2][3] ps[2][4] ps[2][5] ps[2][6] ps[3][0] ps[3][1] ps[3][2] ps[3][3] ps[3][4] ps[3][5] ps[3][6] ps[4][0] ps[4][1] ps[4][2]
ps[4][3] ps[4][4] ps[4][5] ps[4][6] ps[5][0] ps[5][1] ps[5][2] ps[5][3] ps[5][4] ps[5][5] ps[5][6] ps[6][0] ps[6][1] ps[6][2] ps[6][3]
ps[6][4] ps[6][5] ps[6][6] ps[7][0] ps[7][1] ps[7][2] ps[7][3] ps[7][4] ps[7][5] ps[7][6] ps[8][0] ps[8][1] ps[8][2] ps[8][3] ps[8][4]
ps[8][5] ps[8][6] ps[9][0] ps[9][1] ps[9][2] ps[9][3] ps[9][4] ps[9][5] ps[9][6] ps[10][0] ps[10][1] ps[10][2] ps[10][3] ps[10][4] ps[10][5]
ps[10][6] ps[11][0] ps[11][1] ps[11][2] ps[11][3] ps[11][4] ps[11][5] ps[11][6] ps[12][0] ps[12][1] ps[12][2] ps[12][3] ps[12][4] ps[12][5]
ps[12][6] ps[13][0] ps[13][1] ps[13][2] ps[13][3] ps[13][4] ps[13][5] ps[13][6] ps[14][0] ps[14][1] ps[14][2] ps[14][3] ps[14][4] ps[14][5]
ps[14][6] ps[15][0] ps[15][1] ps[15][2] ps[15][3] ps[15][4] ps[15][5] ps[15][6] ps[16][0] ps[16][1] ps[16][2] ps[16][3] ps[16][4] ps[16][5]
ps[16][6] ps[17][0] ps[17][1] ps[17][2] ps[17][3] ps[17][4] ps[17][5] ps[17][6] ps[18][0] ps[18][1] ps[18][2] ps[18][3] ps[18][4] ps[18][5]
ps[18][6] ps[19][0] ps[19][1] ps[19][2] ps[19][3] ps[19][4] ps[19][5] ps[19][6] ps[20][0] ps[20][1] ps[20][2] ps[20][3] ps[20][4] ps[20][5]
ps[20][6] ps[21][0] ps[21][1] ps[21][2] ps[21][3] ps[21][4] ps[21][5] ps[21][6] ps[22][0] ps[22][1] ps[22][2] ps[22][3] ps[22][4] ps[22][5]
ps[22][6] ps[23][0] ps[23][1] ps[23][2] ps[23][3] ps[23][4] ps[23][5] ps[23][6] ps[24][0] ps[24][1] ps[24][2] ps[24][3] ps[24][4] ps[24][5]
ps[24][6] ps[25][0] ps[25][1] ps[25][2] ps[25][3] ps[25][4] ps[25][5] ps[25][6] ps[26][0] ps[26][1] ps[26][2] ps[26][3] ps[26][4] ps[26][5]
ps[26][6] ps[27][0] ps[27][1] ps[27][2] ps[27][3] ps[27][4] ps[27][5] ps[27][6] ps[28][0] ps[28][1] ps[28][2] ps[28][3] ps[28][4] ps[28][5]
ps[28][6] ps[29][0] ps[29][1] ps[29][2] ps[29][3] ps[29][4] ps[29][5] ps[29][6] ps[30][0] ps[30][1] ps[30][2] ps[30][3] ps[30][4] ps[30][5]
ps[30][6] ps[31][0] ps[31][1] ps[31][2] ps[31][3] ps[31][4] ps[31][5] ps[31][6] ps[32][0] ps[32][1] ps[32][2] ps[32][3] ps[32][4] ps[32][5]
ps[32][6] ps[33][0] ps[33][1] ps[33][2] ps[33][3] ps[33][4] ps[33][5] ps[33][6] ps[34][0] ps[34][1] ps[34][2] ps[34][3] ps[34][4] ps[34][5]
ps[34][6] ps[35][0] ps[35][1] ps[35][2] ps[35][3] ps[35][4] ps[35][5] ps[35][6] ps[36][0] ps[36][1] ps[36][2] ps[36][3] ps[36][4] ps[36][5]
ps[36][6] ps[37][0] ps[37][1] ps[37][2] ps[37][3] ps[37][4] ps[37][5] ps[37][6] ps[38][0] ps[38][1] ps[38][2] ps[38][3] ps[38][4] ps[38][5]
ps[38][6] ps[39][0] ps[39][1] ps[39][2] ps[39][3] ps[39][4] ps[39][5] ps[39][6] ps[40][0] ps[40][1] ps[40][2] ps[40][3] ps[40][4] ps[40][5]
ps[40][6] ps[41][0] ps[41][1] ps[41][2] ps[41][3] ps[41][4] ps[41][5] ps[41][6] ps[42][0] ps[42][1] ps[42][2] ps[42][3] ps[42][4] ps[42][5]
ps[42][6] ps[43][0] ps[43][1] ps[43][2] ps[43][3] ps[43][4] ps[43][5] ps[43][6] ps[44][0] ps[44][1] ps[44][2] ps[44][3] ps[44][4] ps[44][5]
ps[44][6] ps[45][0] ps[45][1] ps[45][2] ps[45][3] ps[45][4] ps[45][5] ps[45][6] ps[46][0] ps[46][1] ps[46][2] ps[46][3] ps[46][4] ps[46][5]
ps[46][6] ps[47][0] ps[47][1] ps[47][2] ps[47][3] ps[47][4] ps[47][5] ps[47][6] ps[48][0] ps[48][1] ps[48][2] ps[48][3] ps[48][4] ps[48][5]
ps[48][6] ps[49][0] ps[49][1] ps[49][2] ps[49][3] ps[49][4] ps[49][5] ps[49][6] ds[0][0] ds[0][1] ds[0][2] ds[0][3] ds[0][4] ds[0][5]
ds[0][6] ds[1][0] ds[1][1] ds[1][2] ds[1][3] ds[1][4] ds[1][5] ds[1][6] ds[2][0] ds[2][1] ds[2][2] ds[2][3] ds[2][4] ds[2][5] ds[2][6]
ds[3][0] ds[3][1] ds[3][2] ds[3][3] ds[3][4] ds[3][5] ds[3][6] ds[4][0] ds[4][1] ds[4][2] ds[4][3] ds[4][4] ds[4][5] ds[4][6] ds[5][0]
ds[5][1] ds[5][2] ds[5][3] ds[5][4] ds[5][5] ds[5][6] ds[6][0] ds[6][1] ds[6][2] ds[6][3] ds[6][4] ds[6][5] ds[6][6] ds[7][0] ds[7][1]
ds[7][2] ds[7][3] ds[7][4] ds[7][5] ds[7][6] ds[8][0] ds[8][1] ds[8][2] ds[8][3] ds[8][4] ds[8][5] ds[8][6] ds[9][0] ds[9][1] ds[9][2]
ds[9][3] ds[9][4] ds[9][5] ds[9][6] ds[10][0] ds[10][1] ds[10][2] ds[10][3] ds[10][4] ds[10][5] ds[10][6] ds[11][0] ds[11][1] ds[11][2]
ds[11][3] ds[11][4] ds[11][5] ds[11][6] ds[12][0] ds[12][1] ds[12][2] ds[12][3] ds[12][4] ds[12][5] ds[12][6] ds[13][0] ds[13][1] ds[13][2]
ds[13][3] ds[13][4] ds[13][5] ds[13][6] ds[14][0] ds[14][1] ds[14][2] ds[14][3] ds[14][4] ds[14][5] ds[14][6] ds[15][0] ds[15][1] ds[15][2]
ds[15][3] ds[15][4] ds[15][5] ds[15][6] ds[16][0] ds[16][1] ds[16][2] ds[16][3] ds[16][4] ds[16][5] ds[16][6] ds[17][0] ds[17][1] ds[17][2]
ds[17][3] ds[17][4] ds[17][5] ds[17][6] ds[18][0] ds[18][1] ds[18][2] ds[18][3] ds[18][4] ds[18][5] ds[18][6] ds[19][0] ds[19][1] ds[19][2]
ds[19][3] ds[19][4] ds[19][5] ds[19][6] ds[20][0] ds[20][1] ds[20][2] ds[20][3] ds[20][4] ds[20][5] ds[20][6] ds[21][0] ds[21][1] ds[21][2]
ds[21][3] ds[21][4] ds[21][5] ds[21][6] ds[22][0] ds[22][1] ds[22][2] ds[22][3] ds[22][4] ds[22][5] ds[22][6] ds[23][0] ds[23][1] ds[23][2]
ds[23][3] ds[23][4] ds[23][5] ds[23][6] ds[24][0] ds[24][1] ds[24][2] ds[24][3] ds[24][4] ds[24][5] ds[24][6] ds[25][0] ds[25][1] ds[25][2]
ds[25][3] ds[25][4] ds[25][5] ds[25][6] ds[26][0] ds[26][1] ds[26][2] ds[26][3] ds[26][4] ds[26][5] ds[26][6] ds[27][0] ds[27][1] ds[27][2]
ds[27][3] ds[27][4] ds[27][5] ds[27][6] wk[0][0] wk[0][1] wk[0][2] wk[0][3] wk[1][0] wk[1][1] wk[1][2] wk[1][3] wk[2][0] wk[2][1] wk[2][2]
wk[2][3] wk[3][0] wk[3][1] wk[3][2] wk[3][3] wk[4][0] wk[4][1] wk[4][2] wk[4][3] wk[5][0] wk[5][1] wk[5][2] wk[5][3] wk[6][0] wk[6][1]
wk[6][2] wk[6][3] wk[7][0] wk[7][1] wk[7][2] wk[7][3] wk[8][0] wk[8][1] wk[8][2] wk[8][3] wk[9][0] wk[9][1] wk[9][2] wk[9][3] wk[10][0]
wk[10][1] wk[10][2] wk[10][3] wk[11][0] wk[11][1] wk[11][2] wk[11][3] wk[12][0] wk[12][1] wk[12][2] wk[12][3] wk[13][0] wk[13][1] wk[13][2]
wk[13][3] wk[14][0] wk[14][1] wk[14][2] wk[14][3] wk[15][0] wk[15][1] wk[15][2] wk[15][3] wk[16][0] wk[16][1] wk[16][2] wk[16][3] wk[17][0]
wk[17][1] wk[17][2] wk[17][3] wk[18][0] wk[18][1] wk[18][2] wk[18][3] wk[19][0] wk[19][1] wk[19][2] wk[19][3] wk[20][0] wk[20][1] wk[20][2]
wk[20][3] wk[21][0] wk[21][1] wk[21][2] wk[21][3] wk[22][0] wk[22][1] wk[22][2] wk[22][3] wk[23][0] wk[23][1] wk[23][2] wk[23][3] wk[24][0]
wk[24][1] wk[24][2] wk[24][3] wk[25][0] wk[25][1] wk[25][2] wk[25][3] wk[26][0] wk[26][1] wk[26][2] wk[26][3] wk[27][0] wk[27][1] wk[27][2]
wk[27][3] wk[28][0] wk[28][1] wk[28][2] wk[28][3] wk[29][0] wk[29][1] wk[29][2] wk[29][3] wk[30][0] wk[30][1] wk[30][2] wk[30][3] wk[31][0]
wk[31][1] wk[31][2] wk[31][3] wk[32][0] wk[32][1] wk[32][2] wk[32][3] wk[33][0] wk[33][1] wk[33][2] wk[33][3] wk[34][0] wk[34][1] wk[34][2]
wk[34][3] wk[35][0] wk[35][1] wk[35][2] wk[35][3] wk[36][0] wk[36][1] wk[36][2] wk[36][3] wk[37][0] wk[37][1] wk[37][2] wk[37][3] wk[38][0]
wk[38][1] wk[38][2] wk[38][3] wk[39][0] wk[39][1] wk[39][2] wk[39][3] wk[40][0] wk[40][1] wk[40][2] wk[40][3] wk[41][0] wk[41][1] wk[41][2]
wk[41][3] wk[42][0] wk[42][1] wk[42][2] wk[42][3] wk[43][0] wk[43][1] wk[43][2] wk[43][3] wk[44][0] wk[44][1] wk[44][2] wk[44][3] wk[45][0]
wk[45][1] wk[45][2] wk[45][3] wk[46][0] wk[46][1] wk[46][2] wk[46][3] wk[47][0] wk[47][1] wk[47][2] wk[47][3] wk[48][0] wk[48][1] wk[48][2]
wk[48][3] wk[49][0] wk[49][1] wk[49][2] wk[49][3] cn[0] cn[1] cn[2] cn[3] cn[4] cn[5] cn[6] cn[7] cn[8] cn[9] cn[10] cn[11] cn[12] cn[13]
cn[14] cn[15] cn[16] cn[17] cn[18] cn[19] cn[20] cn[21] cn[22] cn[23] cn[24] cn[25] cn[26] cn[27] cn[28] cn[29] cn[30] cn[31] cn[32] cn[33]
cn[34] cn[35] cn[36] cn[37] cn[38] cn[39] cn[40] cn[41] cn[42] cn[43] cn[44] cn[45] cn[46] cn[47] cn[48] cn[49] cn[50] cn[51] cn[52] cn[53]
cn[54] cn[55] cn[56] cn[57] cn[58] cn[59] cn[60] cn[61] cn[62] cn[63] cn[64] cn[65] cn[66] cn[67] cn[68] cn[69] cn[70] cn[71] cn[72] cn[73]
cn[74] cn[75] cn[76] cn[77] cn[78] cn[79] cn[80] cn[81] cn[82] cn[83] cn[84] cn[85] cn[86] cn[87] cn[88] cn[89] cn[90] cn[91] cn[92] cn[93]
cn[94] cn[95] cn[96] cn[97] cn[98] cn[99] cn[100] cn[101] cn[102] cn[103] cn[104] cn[105] cn[106] cn[107] cn[108] cn[109] cn[110] cn[111]
cn[112] cn[113] cn[114] cn[115] cn[116] cn[117] cn[118] cn[119] cn[120] cn[121] cn[122] cn[123] cn[124] cn[125] cn[126] cn[127] cn[128]
cn[129] cn[130] cn[131] cn[132] cn[133] cn[134] cn[135] cn[136] cn[137] cn[138] cn[139] cn[140] cn[141] cn[142] cn[143] cn[144] cn[145]
cn[146] cn[147] cn[148] cn[149] cn[150] cn[151] cn[152] cn[153] cn[154] cn[155] cn[156] cn[157] cn[158] cn[159] cn[160] cn[161] cn[162]
cn[163] cn[164] cn[165] cn[166] cn[167] cn[168] cn[169] cn[170] cn[171] cn[172] cn[173] cn[174] cn[175] cn[176] cn[177] cn[178] cn[179]
cn[180] cn[181] cn[182] cn[183] cn[184] cn[185] cn[186] cn[187] cn[188] cn[189] cn[190] cn[191] cn[192] cn[193] cn[194] cn[195] cn[196]
cf[0] cf[1] cf[2] cf[3] cf[4] cf[5] cf[6] cf[7] cf[8] cf[9] cf[10] cf[11] cf[12] cf[13] cf[14] cf[15] cf[16] cf[17] cf[18] cf[19] cf[20]
cf[21] cf[22] cf[23] cf[24] cf[25] cf[26] cf[27] cf[28] cf[29] cf[30] cf[31] cf[32] cf[33] cf[34] cf[35] cf[36] cf[37] cf[38] cf[39] cf[40]
cf[41] cf[42] cf[43] cf[44] cf[45] cf[46] cf[47] cf[48] cf[49] cf[50] cf[51] cf[52] cf[53] cf[54] cf[55] cf[56] cf[57] cf[58] cf[59] cf[60]
cf[61] cf[62] cf[63] cf[64] cf[65] cf[66] cf[67] cf[68] cf[69] cf[70] cf[71] cf[72] cf[73] cf[74] cf[75] cf[76] cf[77] cf[78] cf[79] cf[80]
cf[81] cf[82] cf[83] cf[84] cf[85] cf[86] cf[87] cf[88] cf[89] cf[90] cf[91] cf[92] cf[93] cf[94] cf[95] cf[96] cf[97] cf[98] cf[99] cf[100]
cf[101] cf[102] cf[103] cf[104] cf[105] cf[106] cf[107] cf[108] cf[109] cf[110] cf[111] cf[112] cf[113] cf[114] cf[115] cf[116] cf[117]
cf[118] cf[119] cf[120] cf[121] cf[122] cf[123] cf[124] cf[125] cf[126] cf[127] cf[128] cf[129] cf[130] cf[131] cf[132] cf[133] cf[134]
cf[135] cf[136] cf[137] cf[138] cc[0][0] cc[0][1] cc[0][2] cc[0][3] cc[0][4] cc[0][5] cc[0][6] cc[1][0] cc[1][1] cc[1][2] cc[1][3] cc[1][4]
cc[1][5] cc[1][6] cc[2][0] cc[2][1] cc[2][2] cc[2][3] cc[2][4] cc[2][5] cc[2][6] cc[3][0] cc[3][1] cc[3][2] cc[3][3] cc[3][4] cc[3][5]
cc[3][6] cc[4][0] cc[4][1] cc[4][2] cc[4][3] cc[4][4] cc[4][5] cc[4][6] cc[5][0] cc[5][1] cc[5][2] cc[5][3] cc[5][4] cc[5][5] cc[5][6]
cc[6][0] cc[6][1] cc[6][2] cc[6][3] cc[6][4] cc[6][5] cc[6][6] cc[7][0] cc[7][1] cc[7][2] cc[7][3] cc[7][4] cc[7][5] cc[7][6] cc[8][0]
cc[8][1] cc[8][2] cc[8][3] cc[8][4] cc[8][5] cc[8][6] cc[9][0] cc[9][1] cc[9][2] cc[9][3] cc[9][4] cc[9][5] cc[9][6] cc[10][0] cc[10][1]
cc[10][2] cc[10][3] cc[10][4] cc[10][5] cc[10][6] cc[11][0] cc[11][1] cc[11][2] cc[11][3] cc[11][4] cc[11][5] cc[11][6] cc[12][0] cc[12][1]
cc[12][2] cc[12][3] cc[12][4] cc[12][5] cc[12][6] cc[13][0] cc[13][1] cc[13][2] cc[13][3] cc[13][4] cc[13][5] cc[13][6] cc[14][0] cc[14][1]
cc[14][2] cc[14][3] cc[14][4] cc[14][5] cc[14][6] cc[15][0] cc[15][1] cc[15][2] cc[15][3] cc[15][4] cc[15][5] cc[15][6] cc[16][0] cc[16][1]
cc[16][2] cc[16][3] cc[16][4] cc[16][5] cc[16][6] cc[17][0] cc[17][1] cc[17][2] cc[17][3] cc[17][4] cc[17][5] cc[17][6] cc[18][0] cc[18][1]
cc[18][2] cc[18][3] cc[18][4] cc[18][5] cc[18][6] cc[19][0] cc[19][1] cc[19][2] cc[19][3] cc[19][4] cc[19][5] cc[19][6] cc[20][0] cc[20][1]
cc[20][2] cc[20][3] cc[20][4] cc[20][5] cc[20][6] cc[21][0] cc[21][1] cc[21][2] cc[21][3] cc[21][4] cc[21][5] cc[21][6] cc[22][0] cc[22][1]
cc[22][2] cc[22][3] cc[22][4] cc[22][5] cc[22][6] cc[23][0] cc[23][1] cc[23][2] cc[23][3] cc[23][4] cc[23][5] cc[23][6] cc[24][0] cc[24][1]
cc[24][2] cc[24][3] cc[24][4] cc[24][5] cc[24][6] cc[25][0] cc[25][1] cc[25][2] cc[25][3] cc[25][4] cc[25][5] cc[25][6] cc[26][0] cc[26][1]
cc[26][2] cc[26][3] cc[26][4] cc[26][5] cc[26][6] cc[27][0] cc[27][1] cc[27][2] cc[27][3] cc[27][4] cc[27][5] cc[27][6] </list> <values>4 4
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