XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-74_glb_ext
Number of variables: 141
Number of constraints: 36
Satisfiable: None
Timestamp: 2018-04-21 09:59:16
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 141
Number of constraints: 36

General features

Coarse blocks: 1,110
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 1 273 48.10 37.00 53,393 MAX VALUE 3,881.82 42.15 0.88 4.66

Relational linkage 0.00 0.01 0.00 0.00 1.06 0.00 -3,442.01 0.00 0.58 5.50

Tightness 0.99 1.00 1.00 1.00 35.90 0.91 -0.10 0.00 0.00 3.58

Tuples 7 757 186.33 152.50 6,708 MAX VALUE 174.41 158.12 0.85 3.47

Values 2 6 4.09 4.00 577 MAX VALUE 195.17 0.91 0.22 1.29

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

Value table partitions 1 6 4.04 4.00 570 MAX VALUE 192.18 0.97 0.24 1.34

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	273	48.10	37.00	53,393	MAX VALUE	3,881.82	42.15	0.88	4.66
Relational linkage	0.00	0.01	0.00	0.00	1.06	0.00	-3,442.01	0.00	0.58	5.50
Tightness	0.99	1.00	1.00	1.00	35.90	0.91	-0.10	0.00	0.00	3.58
Tuples	7	757	186.33	152.50	6,708	MAX VALUE	174.41	158.12	0.85	3.47
Values	2	6	4.09	4.00	577	MAX VALUE	195.17	0.91	0.22	1.29
Value table constraints	2	2	2.00	2.00	282	MAX VALUE	97.73	0.00	0.00	0.00
Value table partitions	1	6	4.04	4.00	570	MAX VALUE	192.18	0.97	0.24	1.34

Tree decomposition

Number of clusters: 34
Number of leaves: 17
Tree depth: 4
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_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 65 24.88 17.00 846 MAX VALUE 104.90 14.15 0.57 2.24

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

Separator variables 0 47 20.74 14.00 705 0 None 10.53 0.51 2.24

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	65	24.88	17.00	846	MAX VALUE	104.90	14.15	0.57	2.24
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	47	20.74	14.00	705	0	None	10.53	0.51	2.24
Clusters per var	None	None	None	None	None	None	None	None	None	None

Dual tree decomposition

Number of clusters: 19
Number of leaves: 18
Tree depth: 1
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_glb_ext/DualTree1.json

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

Cluster constraints 0 8 7.42 8.00 141 0 None 1.79 0.24 0.63

Variables per cluster 8 18 9.32 9.00 177 1.90e+18 42.09 2.08 0.22 0.63

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

Separator variables 0 8 7.42 8.00 141 0 None 1.79 0.24 0.63

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	7.42	8.00	141	0	None	1.79	0.24	0.63
Variables per cluster	8	18	9.32	9.00	177	1.90e+18	42.09	2.08	0.22	0.63
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	8	7.42	8.00	141	0	None	1.79	0.24	0.63
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-18-141-74_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_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 65.04 0.00 -109.10 0.00 0.00 0.15

Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.96 0.53 0.04 0.68

Eccentricity 3 3 3.00 3.00 423 MAX VALUE 154.90 0.00 0.00 0.00

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	65.04	0.00	-109.10	0.00	0.00	0.15
Degree	12	14	13.70	14.00	1,932	MAX VALUE	368.96	0.53	0.04	0.68
Eccentricity	3	3	3.00	3.00	423	MAX VALUE	154.90	0.00	0.00	0.00
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 47.22%
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 0.69 1.00 0.83 0.82 116.89 0.00 -27.34 0.09 0.11 3.76

Degree 12 105 66.11 73.00 9,322 MAX VALUE 566.47 30.91 0.47 3.39

Eccentricity 2 3 2.26 2.00 318 MAX VALUE 112.33 0.44 0.19 0.57

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	0.83	0.82	116.89	0.00	-27.34	0.09	0.11	3.76
Degree	12	105	66.11	73.00	9,322	MAX VALUE	566.47	30.91	0.47	3.39
Eccentricity	2	3	2.26	2.00	318	MAX VALUE	112.33	0.44	0.19	0.57
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 22.38%
MCB compute time (ms): 8
MCB cycles: 137
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_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 3.06 3.00 110 2.67e+17 40.13 0.23 0.07 0.21

MCB cycle size 4 6 4.06 4.00 556 MAX VALUE 191.54 0.34 0.08 0.13

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	3.06	3.00	110	2.67e+17	40.13	0.23	0.07	0.21
MCB cycle size	4	6	4.06	4.00	556	MAX VALUE	191.54	0.34	0.08	0.13

Minimal dual graph

Density: 22.38%
MCB compute time (ms): 7
MCB cycles: 137

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 3.06 3.00 110 2.67e+17 40.13 0.23 0.07 0.21

MCB cycle size 4 6 4.06 4.00 556 MAX VALUE 191.54 0.34 0.08 0.13

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	3.06	3.00	110	2.67e+17	40.13	0.23	0.07	0.21
MCB cycle size	4	6	4.06	4.00	556	MAX VALUE	191.54	0.34	0.08	0.13

Triangulated dual graph

Density: 46.67%
Triangles: 1,299

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

Clustering coefficient 0.63 1.00 0.82 0.83 29.54 0.00 -8.01 0.18 0.22 1.42

Degree 7 25 16.33 16.00 588 MAX VALUE 94.85 8.51 0.52 1.14

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	29.54	0.00	-8.01	0.18	0.22	1.42
Degree	7	25	16.33	16.00	588	MAX VALUE	94.85	8.51	0.52	1.14
Eccentricity	2	3	2.06	2.00	74	1.55e+11	25.76	0.23	0.11	0.21

Triangulated minimal dual graph

Density: 46.67%

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

Clustering coefficient 0.63 1.00 0.82 0.83 29.54 0.00 -8.01 0.18 0.22 1.42

Degree 7 25 16.33 16.00 588 MAX VALUE 94.85 8.51 0.52 1.14

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	29.54	0.00	-8.01	0.18	0.22	1.42
Degree	7	25	16.33	16.00	588	MAX VALUE	94.85	8.51	0.52	1.14
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): 80
MCB cycles: 106
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-74_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 6.11 6.00 1,082 MAX VALUE 320.18 0.35 0.06 0.36

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

XCSP 2.1 Benchmarks