XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-72-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: 841

General features

Coarse blocks: 6,199
Value tables: 141

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

Arity 2 2 2.00 2.00 1,682 MAX VALUE 582.94 0.00 0.00 0.00

Coarse blocks size 1 6 3.19 3.00 19,750 MAX VALUE 6,859.55 0.96 0.30 1.37

Relational linkage 0.50 0.80 0.63 0.67 307.48 0.00 -234.77 0.09 0.14 0.93

Tightness 0.05 0.33 0.14 0.12 118.56 0.00 -1,710.05 0.06 0.39 2.49

Tuples 2 27 11.74 11.00 9,875 MAX VALUE 2,008.59 4.30 0.37 2.70

Values 1 6 3.57 4.00 503 MAX VALUE 173.28 0.98 0.27 1.39

Value table constraints 4 14 11.93 13.00 1,682 MAX VALUE 346.36 2.20 0.18 1.89

Value table partitions 1 6 3.57 4.00 503 MAX VALUE 173.28 0.98 0.27 1.39

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	2	2	2.00	2.00	1,682	MAX VALUE	582.94	0.00	0.00	0.00
Coarse blocks size	1	6	3.19	3.00	19,750	MAX VALUE	6,859.55	0.96	0.30	1.37
Relational linkage	0.50	0.80	0.63	0.67	307.48	0.00	-234.77	0.09	0.14	0.93
Tightness	0.05	0.33	0.14	0.12	118.56	0.00	-1,710.05	0.06	0.39	2.49
Tuples	2	27	11.74	11.00	9,875	MAX VALUE	2,008.59	4.30	0.37	2.70
Values	1	6	3.57	4.00	503	MAX VALUE	173.28	0.98	0.27	1.39
Value table constraints	4	14	11.93	13.00	1,682	MAX VALUE	346.36	2.20	0.18	1.89
Value table partitions	1	6	3.57	4.00	503	MAX VALUE	173.28	0.98	0.27	1.39

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-18-141-72-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-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-18-141-72-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-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: 8.52%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,330
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-ext/Primal1.json

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

Clustering coefficient 0.29 0.50 0.42 0.42 58.93 0.00 -123.66 0.04 0.09 3.48

Degree 4 14 11.93 13.00 1,682 MAX VALUE 346.36 2.20 0.18 1.89

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	0.29	0.50	0.42	0.42	58.93	0.00	-123.66	0.04	0.09	3.48
Degree	4	14	11.93	13.00	1,682	MAX VALUE	346.36	2.20	0.18	1.89
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: 41.05%
MCB compute time (ms): None
MCB cycles: None
Triangles: 81,397

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

Clustering coefficient 0.69 1.00 0.85 0.83 119.81 0.00 -23.80 0.09 0.11 4.20

Degree 4 97 57.48 72.00 8,104 MAX VALUE 525.68 34.25 0.60 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	0.69	1.00	0.85	0.83	119.81	0.00	-23.80	0.09	0.11	4.20
Degree	4	97	57.48	72.00	8,104	MAX VALUE	525.68	34.25	0.60	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: 2.70%
MCB compute time (ms): None
MCB cycles: None
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-ext/Dual1.json

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

Clustering coefficient 0.48 0.68 0.50 0.50 424.14 0.00 -576.25 0.02 0.04 3.22

Degree 10 26 22.67 23.00 19,066 MAX VALUE 2,617.58 2.78 0.12 2.27

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	0.68	0.50	0.50	424.14	0.00	-576.25	0.02	0.04	3.22
Degree	10	26	22.67	23.00	19,066	MAX VALUE	2,617.58	2.78	0.12	2.27
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: 0.44%
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 2.10 0.00 None 0.03 10.34 0.07

Degree 2 6 3.66 4.00 3,082 MAX VALUE 1,073.22 0.80 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	2.10	0.00	None	0.03	10.34	0.07
Degree	2	6	3.66	4.00	3,082	MAX VALUE	1,073.22	0.80	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: 27.93%
Triangles: None

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

Clustering coefficient 0.63 1.00 0.82 0.80 693.49 0.00 -168.66 0.10 0.12 5.75

Degree 10 494 234.60 236.00 197,300 MAX VALUE 4,240.72 165.27 0.70 5.07

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	0.63	1.00	0.82	0.80	693.49	0.00	-168.66	0.10	0.12	5.75
Degree	10	494	234.60	236.00	197,300	MAX VALUE	4,240.72	165.27	0.70	5.07
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: 0.35%
MCB compute time (ms): None
MCB cycles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/normalized-bqwh-18-141-72-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 3.43 2.00 3,364 MAX VALUE 929.29 3.58 1.05 0.68

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