XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-18-ext
Number of variables: 50
Number of constraints: 484
Satisfiable: True
Timestamp: 2025-07-27 21:34:16
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 50
Number of constraints: 484

General features

Coarse blocks: 22,264
Value tables: 50

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

Arity 2 2 2.00 2.00 968 MAX VALUE 335.48 0.00 0.00 0.00

Coarse blocks size 4 23 16.90 17.00 376,154 MAX VALUE 62,608.00 2.71 0.16 2.36

Relational linkage 0.17 0.70 0.47 0.48 545.91 0.00 -880.52 0.09 0.19 2.12

Tightness 0.23 0.65 0.27 0.23 128.47 0.00 -658.21 0.08 0.30 1.07

Tuples 185 408 388.59 408.00 188,077 MAX VALUE 2,882.57 41.58 0.11 1.07

Values 23 23 23.00 23.00 1,150 MAX VALUE 156.78 0.00 0.00 0.00

Value table constraints 12 28 19.36 19.00 968 MAX VALUE 147.39 3.36 0.17 2.43

Value table partitions 23 23 23.00 23.00 1,150 MAX VALUE 156.78 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	2	2	2.00	2.00	968	MAX VALUE	335.48	0.00	0.00	0.00
Coarse blocks size	4	23	16.90	17.00	376,154	MAX VALUE	62,608.00	2.71	0.16	2.36
Relational linkage	0.17	0.70	0.47	0.48	545.91	0.00	-880.52	0.09	0.19	2.12
Tightness	0.23	0.65	0.27	0.23	128.47	0.00	-658.21	0.08	0.30	1.07
Tuples	185	408	388.59	408.00	188,077	MAX VALUE	2,882.57	41.58	0.11	1.07
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	12	28	19.36	19.00	968	MAX VALUE	147.39	3.36	0.17	2.43
Value table partitions	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00

Tree decomposition

Number of clusters: 14
Number of leaves: 7
Tree depth: 3
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Tree1.json

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

Cluster constraints 38 276 129.71 103.50 1,816 2.33e+28 65.32 80.28 0.62 2.64

Variables per cluster 13 37 23.57 22.00 330 7.05e+18 43.40 8.14 0.35 2.21

Separator constraints 0 224 95.14 64.50 1,332 0 None 72.83 0.77 2.54

Separator variables 0 33 20.00 17.50 280 0 None 9.12 0.46 2.21

Clusters per var 1 12 6.60 7.00 330 1.70e+36 83.42 3.21 0.49 2.28

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	38	276	129.71	103.50	1,816	2.33e+28	65.32	80.28	0.62	2.64
Variables per cluster	13	37	23.57	22.00	330	7.05e+18	43.40	8.14	0.35	2.21
Separator constraints	0	224	95.14	64.50	1,332	0	None	72.83	0.77	2.54
Separator variables	0	33	20.00	17.50	280	0	None	9.12	0.46	2.21
Clusters per var	1	12	6.60	7.00	330	1.70e+36	83.42	3.21	0.49	2.28

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 71
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/DualTree1.json

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

Cluster constraints 160 3,143 750.94 527.00 36,045 MAX VALUE 304.98 641.17 0.85 3.84

Variables per cluster 25 284 74.85 47.00 3,593 MAX VALUE 196.56 58.62 0.78 3.56

Separator constraints 0 1,638 559.92 453.50 26,876 0 None 382.13 0.68 3.87

Separator variables 0 198 64.77 45.50 3,109 0 None 44.78 0.69 3.47

Clusters per variable 1 11 7.42 9.00 3,593 MAX VALUE 919.50 2.47 0.33 1.76

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	160	3,143	750.94	527.00	36,045	MAX VALUE	304.98	641.17	0.85	3.84
Variables per cluster	25	284	74.85	47.00	3,593	MAX VALUE	196.56	58.62	0.78	3.56
Separator constraints	0	1,638	559.92	453.50	26,876	0	None	382.13	0.68	3.87
Separator variables	0	198	64.77	45.50	3,109	0	None	44.78	0.69	3.47
Clusters per variable	1	11	7.42	9.00	3,593	MAX VALUE	919.50	2.47	0.33	1.76

Primal graph

Density: 39.51%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,209
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Primal1.json

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

Clustering coefficient 0.34 0.48 0.40 0.39 19.85 0.00 -46.34 0.03 0.08 3.83

Degree 12 28 19.36 19.00 968 MAX VALUE 147.39 3.36 0.17 2.43

Eccentricity 2 2 2.00 2.00 100 1.13e+15 34.66 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	0.34	0.48	0.40	0.39	19.85	0.00	-46.34	0.03	0.08	3.83
Degree	12	28	19.36	19.00	968	MAX VALUE	147.39	3.36	0.17	2.43
Eccentricity	2	2	2.00	2.00	100	1.13e+15	34.66	0.00	0.00	0.00
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 77.22%
MCB compute time (ms): None
MCB cycles: None
Triangles: 11,012

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

Clustering coefficient 0.80 1.00 0.90 0.89 45.11 0.01 -5.24 0.05 0.06 3.56

Degree 12 47 37.84 42.00 1,892 MAX VALUE 178.86 10.24 0.27 2.56

Eccentricity 2 2 2.00 2.00 100 1.13e+15 34.66 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	0.80	1.00	0.90	0.89	45.11	0.01	-5.24	0.05	0.06	3.56
Degree	12	47	37.84	42.00	1,892	MAX VALUE	178.86	10.24	0.27	2.56
Eccentricity	2	2	2.00	2.00	100	1.13e+15	34.66	0.00	0.00	0.00
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 7.84%
MCB compute time (ms): 24,795
MCB cycles: 9,489
Triangles: 57,858
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Dual1.json

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

Clustering coefficient 0.49 0.56 0.51 0.50 244.55 0.00 -330.52 0.01 0.02 5.08

Degree 24 50 37.89 38.00 18,338 MAX VALUE 1,755.41 4.66 0.12 2.93

Eccentricity 3 3 3.00 3.00 1,452 MAX VALUE 531.73 0.00 0.00 0.00

MCB cycle size 3 4 3.02 3.00 28,651 MAX VALUE 10,477.70 0.14 0.05 0.10

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.56	0.51	0.50	244.55	0.00	-330.52	0.01	0.02	5.08
Degree	24	50	37.89	38.00	18,338	MAX VALUE	1,755.41	4.66	0.12	2.93
Eccentricity	3	3	3.00	3.00	1,452	MAX VALUE	531.73	0.00	0.00	0.00
MCB cycle size	3	4	3.02	3.00	28,651	MAX VALUE	10,477.70	0.14	0.05	0.10

Minimal dual graph

Density: 0.79%
MCB compute time (ms): 3,214
MCB cycles: 435

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

Clustering coefficient 0.00 0.17 0.00 0.00 0.33 0.00 None 0.01 13.52 0.04

Degree 2 7 3.79 4.00 1,836 MAX VALUE 633.15 0.87 0.23 1.20

Eccentricity 7 10 8.25 8.00 3,995 MAX VALUE 1,020.32 0.60 0.07 0.90

MCB cycle size 3 10 6.86 7.00 2,982 MAX VALUE 830.22 1.19 0.17 1.58

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.17	0.00	0.00	0.33	0.00	None	0.01	13.52	0.04
Degree	2	7	3.79	4.00	1,836	MAX VALUE	633.15	0.87	0.23	1.20
Eccentricity	7	10	8.25	8.00	3,995	MAX VALUE	1,020.32	0.60	0.07	0.90
MCB cycle size	3	10	6.86	7.00	2,982	MAX VALUE	830.22	1.19	0.17	1.58

Triangulated dual graph

Density: None%
Triangles: 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

Triangulated minimal dual graph

Density: 10.08%

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

Clustering coefficient 0.54 1.00 0.84 0.81 407.42 0.00 -89.45 0.13 0.16 3.84

Degree 2 160 48.67 8.00 23,556 MAX VALUE 1,328.16 62.80 1.29 3.39

Eccentricity 3 5 3.73 4.00 1,804 MAX VALUE 632.02 0.51 0.14 0.74

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.54	1.00	0.84	0.81	407.42	0.00	-89.45	0.13	0.16	3.84
Degree	2	160	48.67	8.00	23,556	MAX VALUE	1,328.16	62.80	1.29	3.39
Eccentricity	3	5	3.73	4.00	1,804	MAX VALUE	632.02	0.51	0.14	0.74

Incidence graph

Density: 0.68%
MCB compute time (ms): 1,030
MCB cycles: 435
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-18-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 28 3.63 2.00 1,936 MAX VALUE 482.87 5.16 1.42 0.54

Eccentricity 5 6 5.91 6.00 3,154 MAX VALUE 947.68 0.29 0.05 0.31

MCB cycle size 6 6 6.00 6.00 2,610 MAX VALUE 779.41 0.00 0.00 0.00

XCSP 2.1 Benchmarks