XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-99_glb_ext
Number of variables: 141
Number of constraints: 36
Satisfiable: None
Timestamp: 2018-04-21 09:59:56
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 141
Number of constraints: 36

General features

Coarse blocks: 1,025
Value tables: 141

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Arity 7 8 7.83 8.00 282 1.46e+32 74.06 0.37 0.05 0.45

Coarse blocks size 1 193 27.53 20.00 28,214 MAX VALUE 3,019.75 24.04 0.87 4.13

Relational linkage 0.00 0.01 0.00 0.00 1.06 0.00 -3,077.24 0.00 0.59 5.18

Tightness 0.99 1.00 1.00 1.00 35.89 0.89 -0.11 0.00 0.00 3.43

Tuples 8 364 99.00 83.50 3,564 MAX VALUE 153.88 79.06 0.80 3.47

Values 1 7 3.82 4.00 538 MAX VALUE 182.97 1.05 0.27 1.46

Value table constraints 2 2 2.00 2.00 282 MAX VALUE 97.73 0.00 0.00 0.00

Value table partitions 1 7 3.81 4.00 537 MAX VALUE 182.56 1.06 0.28 1.46

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	7	8	7.83	8.00	282	1.46e+32	74.06	0.37	0.05	0.45
Coarse blocks size	1	193	27.53	20.00	28,214	MAX VALUE	3,019.75	24.04	0.87	4.13
Relational linkage	0.00	0.01	0.00	0.00	1.06	0.00	-3,077.24	0.00	0.59	5.18
Tightness	0.99	1.00	1.00	1.00	35.89	0.89	-0.11	0.00	0.00	3.43
Tuples	8	364	99.00	83.50	3,564	MAX VALUE	153.88	79.06	0.80	3.47
Values	1	7	3.82	4.00	538	MAX VALUE	182.97	1.05	0.27	1.46
Value table constraints	2	2	2.00	2.00	282	MAX VALUE	97.73	0.00	0.00	0.00
Value table partitions	1	7	3.81	4.00	537	MAX VALUE	182.56	1.06	0.28	1.46

Tree decomposition

Number of clusters: 34
Number of leaves: 17
Tree depth: 5
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Tree1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 0 2 1.06 1.50 36 0 None 0.97 0.91 0.87

Variables per cluster 13 66 24.97 17.00 849 MAX VALUE 104.92 14.49 0.58 2.15

Separator constraints 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Separator variables 0 51 20.82 14.00 708 0 None 10.95 0.53 2.15

Clusters per var None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	0	2	1.06	1.50	36	0	None	0.97	0.91	0.87
Variables per cluster	13	66	24.97	17.00	849	MAX VALUE	104.92	14.49	0.58	2.15
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	51	20.82	14.00	708	0	None	10.95	0.53	2.15
Clusters per var	None	None	None	None	None	None	None	None	None	None

Dual tree decomposition

Number of clusters: 20
Number of leaves: 18
Tree depth: 2
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/DualTree1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 0 8 7.05 8.00 141 0 None 2.38 0.34 0.73

Variables per cluster 8 17 9.65 9.00 193 3.05e+19 44.86 2.48 0.26 0.73

Separator constraints 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Separator variables 0 16 7.85 8.00 157 0 None 2.55 0.33 0.80

Clusters per variable None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	0	8	7.05	8.00	141	0	None	2.38	0.34	0.73
Variables per cluster	8	17	9.65	9.00	193	3.05e+19	44.86	2.48	0.26	0.73
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	16	7.85	8.00	157	0	None	2.55	0.33	0.80
Clusters per variable	None	None	None	None	None	None	None	None	None	None

Primal graph

Density: 9.79%
MCB compute time (ms): None
MCB cycles: None
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Primal1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.45 0.46 0.46 0.46 65.06 0.00 -109.07 0.00 0.00 0.10

Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.98 0.50 0.04 0.66

Eccentricity 3 4 3.01 3.00 425 MAX VALUE 155.48 0.12 0.04 0.07

MCB cycle size None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.45	0.46	0.46	0.46	65.06	0.00	-109.07	0.00	0.00	0.10
Degree	12	14	13.70	14.00	1,932	MAX VALUE	368.98	0.50	0.04	0.66
Eccentricity	3	4	3.01	3.00	425	MAX VALUE	155.48	0.12	0.04	0.07
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 47.55%
MCB compute time (ms): None
MCB cycles: None
Triangles: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.71 1.00 0.83 0.80 117.20 0.00 -26.85 0.09 0.11 3.56

Degree 12 103 66.57 81.00 9,386 MAX VALUE 566.52 31.61 0.47 3.11

Eccentricity 2 3 2.31 2.00 326 MAX VALUE 115.57 0.46 0.20 0.62

MCB cycle size None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.71	1.00	0.83	0.80	117.20	0.00	-26.85	0.09	0.11	3.56
Degree	12	103	66.57	81.00	9,386	MAX VALUE	566.52	31.61	0.47	3.11
Eccentricity	2	3	2.31	2.00	326	MAX VALUE	115.57	0.46	0.20	0.62
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 22.38%
MCB compute time (ms): 9
MCB cycles: 115
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Dual1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.00 0.00 0.00 0.00 0.00 0.00 None 0.00 None 0.00

Degree 7 8 7.83 8.00 282 1.46e+32 74.06 0.37 0.05 0.45

Eccentricity 3 4 3.11 3.00 112 4.74e+17 40.70 0.31 0.10 0.35

MCB cycle size 4 6 4.02 4.00 462 MAX VALUE 159.83 0.19 0.05 0.05

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.00	0.00	0.00	0.00	0.00	None	0.00	None	0.00
Degree	7	8	7.83	8.00	282	1.46e+32	74.06	0.37	0.05	0.45
Eccentricity	3	4	3.11	3.00	112	4.74e+17	40.70	0.31	0.10	0.35
MCB cycle size	4	6	4.02	4.00	462	MAX VALUE	159.83	0.19	0.05	0.05

Minimal dual graph

Density: 22.38%
MCB compute time (ms): 8
MCB cycles: 115

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.00 0.00 0.00 0.00 0.00 0.00 None 0.00 None 0.00

Degree 7 8 7.83 8.00 282 1.46e+32 74.06 0.37 0.05 0.45

Eccentricity 3 4 3.11 3.00 112 4.74e+17 40.70 0.31 0.10 0.35

MCB cycle size 4 6 4.02 4.00 462 MAX VALUE 159.83 0.19 0.05 0.05

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.00	0.00	0.00	0.00	0.00	None	0.00	None	0.00
Degree	7	8	7.83	8.00	282	1.46e+32	74.06	0.37	0.05	0.45
Eccentricity	3	4	3.11	3.00	112	4.74e+17	40.70	0.31	0.10	0.35
MCB cycle size	4	6	4.02	4.00	462	MAX VALUE	159.83	0.19	0.05	0.05

Triangulated dual graph

Density: 46.51%
Triangles: 1,283

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.63 1.00 0.82 0.83 29.48 0.00 -8.10 0.18 0.22 1.57

Degree 7 25 16.28 16.00 586 MAX VALUE 94.77 8.45 0.52 1.21

Eccentricity 2 3 2.06 2.00 74 1.55e+11 25.76 0.23 0.11 0.21

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.63	1.00	0.82	0.83	29.48	0.00	-8.10	0.18	0.22	1.57
Degree	7	25	16.28	16.00	586	MAX VALUE	94.77	8.45	0.52	1.21
Eccentricity	2	3	2.06	2.00	74	1.55e+11	25.76	0.23	0.11	0.21

Triangulated minimal dual graph

Density: 46.51%

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.63 1.00 0.82 0.83 29.48 0.00 -8.10 0.18 0.22 1.57

Degree 7 25 16.28 16.00 586 MAX VALUE 94.77 8.45 0.52 1.21

Eccentricity 2 3 2.06 2.00 74 1.55e+11 25.76 0.23 0.11 0.21

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.63	1.00	0.82	0.83	29.48	0.00	-8.10	0.18	0.22	1.57
Degree	7	25	16.28	16.00	586	MAX VALUE	94.77	8.45	0.52	1.21
Eccentricity	2	3	2.06	2.00	74	1.55e+11	25.76	0.23	0.11	0.21

Incidence graph

Density: 1.81%
MCB compute time (ms): 84
MCB cycles: 106
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-99_glb_ext/Incidence1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.00 0.00 0.00 0.00 0.00 0.00 None 0.00 None 0.00

Degree 2 8 3.19 2.00 564 MAX VALUE 171.79 2.35 0.74 0.60

Eccentricity 6 8 6.23 6.00 1,102 MAX VALUE 323.18 0.49 0.08 0.58

MCB cycle size 8 8 8.00 8.00 848 MAX VALUE 220.42 0.00 0.00 0.00

XCSP 2.1 Benchmarks