XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-40-ext
Number of variables: 141
Number of constraints: 966
Satisfiable: True
Timestamp: 2025-07-15 12:59:59
Stampede: v1.1.0-239-ge51ee236
Boost: 1.75.0

Component #1

Number of variables: 141
Number of constraints: 906

General features

Coarse blocks: 7,159
Value tables: 141

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

Arity 2 2 2.00 2.00 1,812 MAX VALUE 627.99 0.00 0.00 0.00

Coarse blocks size 1 6 3.45 3.00 24,674 MAX VALUE 8,593.40 0.89 0.26 1.30

Relational linkage 0.50 1.00 0.67 0.67 366.93 0.00 -225.52 0.07 0.10 0.82

Tightness 0.05 0.33 0.13 0.12 118.37 0.00 -1,907.25 0.05 0.37 2.65

Tuples 4 27 13.62 13.00 12,337 MAX VALUE 2,319.19 4.23 0.31 2.67

Values 2 6 3.90 4.00 550 MAX VALUE 188.38 0.84 0.22 1.24

Value table constraints 7 14 12.85 13.00 1,812 MAX VALUE 359.20 1.30 0.10 1.43

Value table partitions 2 6 3.90 4.00 550 MAX VALUE 188.38 0.84 0.22 1.24

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	2	2	2.00	2.00	1,812	MAX VALUE	627.99	0.00	0.00	0.00
Coarse blocks size	1	6	3.45	3.00	24,674	MAX VALUE	8,593.40	0.89	0.26	1.30
Relational linkage	0.50	1.00	0.67	0.67	366.93	0.00	-225.52	0.07	0.10	0.82
Tightness	0.05	0.33	0.13	0.12	118.37	0.00	-1,907.25	0.05	0.37	2.65
Tuples	4	27	13.62	13.00	12,337	MAX VALUE	2,319.19	4.23	0.31	2.67
Values	2	6	3.90	4.00	550	MAX VALUE	188.38	0.84	0.22	1.24
Value table constraints	7	14	12.85	13.00	1,812	MAX VALUE	359.20	1.30	0.10	1.43
Value table partitions	2	6	3.90	4.00	550	MAX VALUE	188.38	0.84	0.22	1.24

Tree decomposition

Number of clusters: None
Number of leaves: None
Tree depth: None
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Tree1.json

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

Cluster constraints None None None None None None None None None None

Variables per cluster None None None None None None None None None None

Separator constraints None None None None None None None None None None

Separator variables None None None None None None None None None None

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	None	None	None	None	None	None	None	None	None	None
Variables per cluster	None	None	None	None	None	None	None	None	None	None
Separator constraints	None	None	None	None	None	None	None	None	None	None
Separator variables	None	None	None	None	None	None	None	None	None	None
Clusters per var	None	None	None	None	None	None	None	None	None	None

Dual tree decomposition

Number of clusters: None
Number of leaves: None
Tree depth: None
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/DualTree1.json

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

Cluster constraints None None None None None None None None None None

Variables per cluster None None None None None None None None None None

Separator constraints None None None None None None None None None None

Separator variables None None None None None None None None None None

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	None	None	None	None	None	None	None	None	None	None
Variables per cluster	None	None	None	None	None	None	None	None	None	None
Separator constraints	None	None	None	None	None	None	None	None	None	None
Separator variables	None	None	None	None	None	None	None	None	None	None
Clusters per variable	None	None	None	None	None	None	None	None	None	None

Primal graph

Density: 9.18%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,571
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Primal1.json

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

Clustering coefficient 0.36 0.47 0.43 0.44 61.19 0.00 -117.88 0.02 0.05 2.92

Degree 7 14 12.85 13.00 1,812 MAX VALUE 359.20 1.30 0.10 1.43

Eccentricity None None None None None None None None None None

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	0.36	0.47	0.43	0.44	61.19	0.00	-117.88	0.02	0.05	2.92
Degree	7	14	12.85	13.00	1,812	MAX VALUE	359.20	1.30	0.10	1.43
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 47.53%
MCB compute time (ms): None
MCB cycles: None
Triangles: 105,088

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

Clustering coefficient 0.70 1.00 0.86 0.84 120.56 0.00 -22.71 0.08 0.10 4.48

Degree 7 107 66.54 86.00 9,382 MAX VALUE 556.79 34.83 0.52 3.80

Eccentricity None None None None None None None None None None

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	0.70	1.00	0.86	0.84	120.56	0.00	-22.71	0.08	0.10	4.48
Degree	7	107	66.54	86.00	9,382	MAX VALUE	556.79	34.83	0.52	3.80
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 2.65%
MCB compute time (ms): None
MCB cycles: None
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Dual1.json

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

Clustering coefficient 0.48 0.56 0.50 0.50 452.73 0.00 -628.60 0.01 0.01 2.36

Degree 16 26 23.96 24.00 21,712 MAX VALUE 2,875.37 1.76 0.07 1.83

Eccentricity None None None None None None None None None None

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	0.48	0.56	0.50	0.50	452.73	0.00	-628.60	0.01	0.01	2.36
Degree	16	26	23.96	24.00	21,712	MAX VALUE	2,875.37	1.76	0.07	1.83
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Minimal dual graph

Density: 0.41%
MCB compute time (ms): None
MCB cycles: None

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

Clustering coefficient 0.00 0.33 0.00 0.00 1.67 0.00 None 0.02 12.73 0.04

Degree 2 6 3.69 4.00 3,342 MAX VALUE 1,162.06 0.81 0.22 1.13

Eccentricity None None None None None None None None None None

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	0.00	0.33	0.00	0.00	1.67	0.00	None	0.02	12.73	0.04
Degree	2	6	3.69	4.00	3,342	MAX VALUE	1,162.06	0.81	0.22	1.13
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated dual graph

Density: 27.42%
Triangles: None

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

Clustering coefficient 0.64 1.00 0.83 0.79 747.46 0.00 -180.95 0.10 0.12 5.71

Degree 16 516 248.16 246.00 224,828 MAX VALUE 4,619.41 178.28 0.72 5.00

Eccentricity 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	0.64	1.00	0.83	0.79	747.46	0.00	-180.95	0.10	0.12	5.71
Degree	16	516	248.16	246.00	224,828	MAX VALUE	4,619.41	178.28	0.72	5.00
Eccentricity	None	None	None	None	None	None	None	None	None	None

Triangulated minimal dual graph

Density: None%

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

Clustering coefficient None None None None None None None None None None

Degree None None None None None None None None None None

Eccentricity 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	None	None	None	None	None	None	None	None	None	None
Degree	None	None	None	None	None	None	None	None	None	None
Eccentricity	None	None	None	None	None	None	None	None	None	None

Incidence graph

Density: 0.33%
MCB compute time (ms): None
MCB cycles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-40-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 14 3.46 2.00 3,624 MAX VALUE 987.19 3.73 1.08 0.59

Eccentricity None None None None None None None None None None

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

XCSP 2.1 Benchmarks