CSP 2008 Competition: solvers results per benchmarks

Result page for benchmark
csp/ssa/
normalized-ssa-6288-047_ext.xml

Jump to solvers results

General information on the benchmark

Namecsp/ssa/
normalized-ssa-6288-047_ext.xml
MD5SUMbd5117be9dfe28e8e7aedfe41ee196c0
Bench CategoryN-ARY-EXT (n-ary constraints in extension)
Best result obtained on this benchmarkSAT
Best CPU time to get the best result obtained on this benchmark0.854869
Satisfiable
(Un)Satisfiability was proved
Number of variables10408
Number of constraints23563
Maximum constraint arity6
Maximum domain size2
Number of constraints which are defined in extension23563
Number of constraints which are defined in intension0
Global constraints used (with number of constraints)

Results of the different solvers on this benchmark

Solver NameTraceIDAnswerCPU timeWall clock time
MDG-noprobe 2008-06-271050468SAT 0.854869 0.860353
Mistral-prime 1.3131050478SAT 0.91386 0.926744
cpHydra k_101050483SAT 0.953854 0.966119
cpHydra k_401050484SAT 0.969851 0.983402
MDG-probe 2008-06-271050467SAT 1.9967 2.00508
mddc-solv 2008-06-091050465SAT 2.29565 2.3078
Mistral-option 1.3141050477SAT 3.2925 3.32707
Sugar v1.13+minisat1050471SAT 4.66529 4.81648
Sugar v1.13+picosat1050470SAT 4.74428 4.90892
SAT4J CSP 2008-06-131050469SAT 7.13492 7.3441
Minion/Tailor 2008-07-041105066SAT 7.14291 7.28327
choco2_dwdeg 2008-06-261050474SAT 9.29259 9.39915
casper zao1050479SAT 23.1965 23.2979
Abscon 112v4 AC1050481SAT 23.6774 23.949
casper zito1050480SAT 26.6329 26.8699
Abscon 112v4 ESAC1050482SAT 64.2592 64.9541
choco2_impwdeg 2008-06-261050473SAT 67.6767 68.3423
galac E1050476SAT 166.181 169.349
galac M1050475SAT 172.92 173.738
Concrete + CPS4J 2008-05-301050464SAT 221.012 223.157
bpsolver 2008-06-271050472SAT 393 394.796
spider 2008-06-141050466? (MO) 5.21721 5.24223
Concrete + CSP4J - WMC Engine 2008-05-301050463? (TO) 1800 1813.22
Concrete + CSP4J - Tabu Engine 2008-05-301050462? (TO) 1800.08 1811.42

Additionnal information

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

Solution found:
0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0
0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1
1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0
0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1
1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0
0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1
1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0
0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 1
1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0
0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1
1 0 0 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0
0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1
1 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0
0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 1 0
0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1
1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 1 1
0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0
0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1
1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0 1
1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0
0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0
0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0
0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0
0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0
0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1
0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1
0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1
1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0
1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0
1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0
0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1
0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0
1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0
0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0
1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1
0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1
0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1
1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0
1 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1
1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0
1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1
0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0
1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1
0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0
0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0
0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1
1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1
1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1
0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1
0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0
0 1 1 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0
0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0
0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1
0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 0
1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0
0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 0
0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0
0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0
0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0
0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 0 1
1 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0
0 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0
0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1
0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0
1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0
0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0
0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0
1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 0
1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0
0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1
0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0
0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1
1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0
0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0
0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0
0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1
0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0
1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1
1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0
0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0
0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0
1 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0
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