XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-24-ext
Number of variables: 50
Number of constraints: 470
Satisfiable: True
Timestamp: 2025-07-27 21:34:17
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 50
Number of constraints: 470

General features

Coarse blocks: 21,620
Value tables: 50

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

Arity 2 2 2.00 2.00 940 MAX VALUE 325.78 0.00 0.00 0.00

Coarse blocks size 4 23 16.77 17.00 362,538 MAX VALUE 60,598.60 2.82 0.17 2.40

Relational linkage 0.17 0.74 0.46 0.48 526.22 0.00 -924.75 0.09 0.20 2.15

Tightness 0.23 0.64 0.27 0.23 127.34 0.00 -631.43 0.08 0.31 1.18

Tuples 189 408 385.68 408.00 181,269 MAX VALUE 2,795.10 44.65 0.12 1.18

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

Value table constraints 12 29 18.80 19.00 940 MAX VALUE 145.78 3.59 0.19 2.50

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	940	MAX VALUE	325.78	0.00	0.00	0.00
Coarse blocks size	4	23	16.77	17.00	362,538	MAX VALUE	60,598.60	2.82	0.17	2.40
Relational linkage	0.17	0.74	0.46	0.48	526.22	0.00	-924.75	0.09	0.20	2.15
Tightness	0.23	0.64	0.27	0.23	127.34	0.00	-631.43	0.08	0.31	1.18
Tuples	189	408	385.68	408.00	181,269	MAX VALUE	2,795.10	44.65	0.12	1.18
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	12	29	18.80	19.00	940	MAX VALUE	145.78	3.59	0.19	2.50
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: 17
Number of leaves: 7
Tree depth: 5
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Tree1.json

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

Cluster constraints 37 234 120.88 120.00 2,055 1.09e+34 78.38 68.67 0.57 2.83

Variables per cluster 13 34 23.00 24.00 391 5.25e+22 52.31 7.62 0.33 2.39

Separator constraints 0 219 93.24 65.00 1,585 0 None 66.49 0.71 2.64

Separator variables 0 33 20.06 18.00 341 0 None 8.70 0.43 2.48

Clusters per var 1 15 7.82 9.00 391 MAX VALUE 89.16 4.27 0.55 2.53

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	37	234	120.88	120.00	2,055	1.09e+34	78.38	68.67	0.57	2.83
Variables per cluster	13	34	23.00	24.00	391	5.25e+22	52.31	7.62	0.33	2.39
Separator constraints	0	219	93.24	65.00	1,585	0	None	66.49	0.71	2.64
Separator variables	0	33	20.06	18.00	341	0	None	8.70	0.43	2.48
Clusters per var	1	15	7.82	9.00	391	MAX VALUE	89.16	4.27	0.55	2.53

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 5
CIR: 0.08
Independent Cluster Pairs: 86
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/DualTree1.json

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

Cluster constraints 148 2,852 699.52 484.00 33,577 MAX VALUE 301.62 590.88 0.84 3.81

Variables per cluster 24 266 72.19 47.50 3,465 MAX VALUE 194.92 55.92 0.77 3.55

Separator constraints 0 1,553 518.52 430.00 24,889 0 None 348.46 0.67 3.76

Separator variables 0 197 62.40 46.00 2,995 0 None 42.66 0.68 3.61

Clusters per variable 1 11 7.37 8.00 3,465 MAX VALUE 888.96 2.51 0.34 2.02

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	148	2,852	699.52	484.00	33,577	MAX VALUE	301.62	590.88	0.84	3.81
Variables per cluster	24	266	72.19	47.50	3,465	MAX VALUE	194.92	55.92	0.77	3.55
Separator constraints	0	1,553	518.52	430.00	24,889	0	None	348.46	0.67	3.76
Separator variables	0	197	62.40	46.00	2,995	0	None	42.66	0.68	3.61
Clusters per variable	1	11	7.37	8.00	3,465	MAX VALUE	888.96	2.51	0.34	2.02

Primal graph

Density: 38.37%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,115
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Primal1.json

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

Clustering coefficient 0.26 0.52 0.39 0.39 19.50 0.00 -47.48 0.05 0.13 3.80

Degree 12 29 18.80 19.00 940 MAX VALUE 145.78 3.59 0.19 2.50

Eccentricity 2 3 2.04 2.00 102 2.53e+15 35.47 0.20 0.10 0.17

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	0.26	0.52	0.39	0.39	19.50	0.00	-47.48	0.05	0.13	3.80
Degree	12	29	18.80	19.00	940	MAX VALUE	145.78	3.59	0.19	2.50
Eccentricity	2	3	2.04	2.00	102	2.53e+15	35.47	0.20	0.10	0.17
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 73.63%
MCB compute time (ms): None
MCB cycles: None
Triangles: 9,877

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

Clustering coefficient 0.75 1.00 0.89 0.87 44.40 0.00 -6.08 0.07 0.07 3.55

Degree 12 47 36.08 41.00 1,804 MAX VALUE 176.05 10.61 0.29 2.86

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	0.75	1.00	0.89	0.87	44.40	0.00	-6.08	0.07	0.07	3.55
Degree	12	47	36.08	41.00	1,804	MAX VALUE	176.05	10.61	0.29	2.86
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: 7.88%
MCB compute time (ms): 34,967
MCB cycles: 9,192
Triangles: 53,848
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Dual1.json

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

Clustering coefficient 0.49 0.58 0.51 0.50 238.22 0.00 -319.56 0.01 0.03 5.28

Degree 23 52 36.97 37.00 17,376 MAX VALUE 1,692.36 5.01 0.14 3.00

Eccentricity 3 3 3.00 3.00 1,410 MAX VALUE 516.35 0.00 0.00 0.00

MCB cycle size 3 4 3.02 3.00 27,805 MAX VALUE 10,164.30 0.16 0.05 0.12

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.58	0.51	0.50	238.22	0.00	-319.56	0.01	0.03	5.28
Degree	23	52	36.97	37.00	17,376	MAX VALUE	1,692.36	5.01	0.14	3.00
Eccentricity	3	3	3.00	3.00	1,410	MAX VALUE	516.35	0.00	0.00	0.00
MCB cycle size	3	4	3.02	3.00	27,805	MAX VALUE	10,164.30	0.16	0.05	0.12

Minimal dual graph

Density: 0.81%
MCB compute time (ms): 3,096
MCB cycles: 421

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

Clustering coefficient 0.00 0.17 0.00 0.00 0.57 0.00 None 0.01 9.40 0.08

Degree 2 6 3.79 4.00 1,780 MAX VALUE 614.10 0.87 0.23 1.18

Eccentricity 7 10 8.08 8.00 3,799 MAX VALUE 980.66 0.65 0.08 0.99

MCB cycle size 3 10 6.91 7.00 2,910 MAX VALUE 807.75 1.12 0.16 1.51

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.17	0.00	0.00	0.57	0.00	None	0.01	9.40	0.08
Degree	2	6	3.79	4.00	1,780	MAX VALUE	614.10	0.87	0.23	1.18
Eccentricity	7	10	8.08	8.00	3,799	MAX VALUE	980.66	0.65	0.08	0.99
MCB cycle size	3	10	6.91	7.00	2,910	MAX VALUE	807.75	1.12	0.16	1.51

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: 9.99%

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

Clustering coefficient 0.54 1.00 0.84 0.81 396.19 0.00 -86.68 0.14 0.16 3.71

Degree 2 155 46.85 8.50 22,018 MAX VALUE 1,274.22 60.39 1.29 3.32

Eccentricity 3 5 3.73 4.00 1,755 MAX VALUE 614.31 0.53 0.14 0.78

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.54	1.00	0.84	0.81	396.19	0.00	-86.68	0.14	0.16	3.71
Degree	2	155	46.85	8.50	22,018	MAX VALUE	1,274.22	60.39	1.29	3.32
Eccentricity	3	5	3.73	4.00	1,755	MAX VALUE	614.31	0.53	0.14	0.78

Incidence graph

Density: 0.70%
MCB compute time (ms): 1,059
MCB cycles: 421
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-24-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 29 3.62 2.00 1,880 MAX VALUE 471.56 5.08 1.40 0.56

Eccentricity 5 6 5.91 6.00 3,072 MAX VALUE 922.96 0.29 0.05 0.31

MCB cycle size 6 6 6.00 6.00 2,526 MAX VALUE 754.33 0.00 0.00 0.00

XCSP 2.1 Benchmarks