XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-39-ext
Number of variables: 50
Number of constraints: 462
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: 462

General features

Coarse blocks: 21,252
Value tables: 50

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

Arity 2 2 2.00 2.00 924 MAX VALUE 320.23 0.00 0.00 0.00

Coarse blocks size 4 23 16.67 17.00 354,204 MAX VALUE 59,427.00 2.86 0.17 2.41

Relational linkage 0.17 0.70 0.46 0.48 530.65 0.00 -913.94 0.09 0.20 2.15

Tightness 0.23 0.56 0.28 0.23 127.21 0.00 -614.10 0.09 0.31 1.27

Tuples 234 408 383.34 408.00 177,102 MAX VALUE 2,744.58 45.74 0.12 1.27

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

Value table constraints 11 27 18.48 19.00 924 MAX VALUE 144.76 3.74 0.20 2.53

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	924	MAX VALUE	320.23	0.00	0.00	0.00
Coarse blocks size	4	23	16.67	17.00	354,204	MAX VALUE	59,427.00	2.86	0.17	2.41
Relational linkage	0.17	0.70	0.46	0.48	530.65	0.00	-913.94	0.09	0.20	2.15
Tightness	0.23	0.56	0.28	0.23	127.21	0.00	-614.10	0.09	0.31	1.27
Tuples	234	408	383.34	408.00	177,102	MAX VALUE	2,744.58	45.74	0.12	1.27
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	11	27	18.48	19.00	924	MAX VALUE	144.76	3.74	0.20	2.53
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: 16
Number of leaves: 9
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-2-50-23-587-230-39-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/Tree1.json

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

Cluster constraints 35 252 100.44 72.00 1,607 5.75e+30 70.83 62.88 0.63 2.57

Variables per cluster 12 35 20.69 19.00 331 4.70e+20 47.60 6.96 0.34 2.39

Separator constraints 0 191 71.56 42.00 1,145 0 None 52.64 0.74 2.69

Separator variables 0 31 17.56 15.50 281 0 None 7.44 0.42 2.39

Clusters per var 1 13 6.62 7.00 331 9.32e+34 80.52 3.71 0.56 2.32

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	35	252	100.44	72.00	1,607	5.75e+30	70.83	62.88	0.63	2.57
Variables per cluster	12	35	20.69	19.00	331	4.70e+20	47.60	6.96	0.34	2.39
Separator constraints	0	191	71.56	42.00	1,145	0	None	52.64	0.74	2.69
Separator variables	0	31	17.56	15.50	281	0	None	7.44	0.42	2.39
Clusters per var	1	13	6.62	7.00	331	9.32e+34	80.52	3.71	0.56	2.32

Dual tree decomposition

Number of clusters: 48
Number of leaves: 22
Tree depth: 5
CIR: 0.09
Independent Cluster Pairs: 95
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/DualTree1.json

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

Cluster constraints 112 2,759 680.33 477.50 32,656 MAX VALUE 299.80 577.23 0.85 3.81

Variables per cluster 21 266 71.06 46.50 3,411 MAX VALUE 193.89 55.65 0.78 3.64

Separator constraints 0 1,463 504.81 403.00 24,231 0 None 343.37 0.68 3.81

Separator variables 0 192 61.44 43.50 2,949 0 None 42.59 0.69 3.73

Clusters per variable 1 11 7.38 9.00 3,411 MAX VALUE 873.66 2.52 0.34 1.96

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	112	2,759	680.33	477.50	32,656	MAX VALUE	299.80	577.23	0.85	3.81
Variables per cluster	21	266	71.06	46.50	3,411	MAX VALUE	193.89	55.65	0.78	3.64
Separator constraints	0	1,463	504.81	403.00	24,231	0	None	343.37	0.68	3.81
Separator variables	0	192	61.44	43.50	2,949	0	None	42.59	0.69	3.73
Clusters per variable	1	11	7.38	9.00	3,411	MAX VALUE	873.66	2.52	0.34	1.96

Primal graph

Density: 37.71%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,076
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/Primal1.json

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

Clustering coefficient 0.27 0.53 0.38 0.39 19.22 0.00 -48.16 0.05 0.12 3.75

Degree 11 27 18.48 19.00 924 MAX VALUE 144.76 3.74 0.20 2.53

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	0.27	0.53	0.38	0.39	19.22	0.00	-48.16	0.05	0.12	3.75
Degree	11	27	18.48	19.00	924	MAX VALUE	144.76	3.74	0.20	2.53
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: 71.51%
MCB compute time (ms): None
MCB cycles: None
Triangles: 9,315

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

Clustering coefficient 0.76 1.00 0.88 0.88 44.19 0.00 -6.35 0.07 0.08 3.35

Degree 11 46 35.04 40.00 1,752 MAX VALUE 174.12 11.06 0.32 2.76

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	0.76	1.00	0.88	0.88	44.19	0.00	-6.35	0.07	0.08	3.35
Degree	11	46	35.04	40.00	1,752	MAX VALUE	174.12	11.06	0.32	2.76
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: 7.91%
MCB compute time (ms): 77,579
MCB cycles: 8,648
Triangles: 51,545
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/Dual1.json

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

Clustering coefficient 0.48 0.60 0.51 0.50 234.55 0.00 -313.39 0.02 0.03 5.26

Degree 20 50 36.47 37.00 16,850 MAX VALUE 1,656.96 5.07 0.14 3.00

Eccentricity 3 3 3.00 3.00 1,386 MAX VALUE 507.56 0.00 0.00 0.00

MCB cycle size 3 4 3.02 3.00 26,077 MAX VALUE 9,539.06 0.12 0.04 0.08

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	0.60	0.51	0.50	234.55	0.00	-313.39	0.02	0.03	5.26
Degree	20	50	36.47	37.00	16,850	MAX VALUE	1,656.96	5.07	0.14	3.00
Eccentricity	3	3	3.00	3.00	1,386	MAX VALUE	507.56	0.00	0.00	0.00
MCB cycle size	3	4	3.02	3.00	26,077	MAX VALUE	9,539.06	0.12	0.04	0.08

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,939
MCB cycles: 413

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 6 3.78 4.00 1,748 MAX VALUE 603.13 0.86 0.23 1.20

Eccentricity 6 9 8.09 8.00 3,736 MAX VALUE 964.32 0.61 0.08 0.93

MCB cycle size 4 10 6.83 7.00 2,819 MAX VALUE 786.25 1.19 0.17 1.54

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	6	3.78	4.00	1,748	MAX VALUE	603.13	0.86	0.23	1.20
Eccentricity	6	9	8.09	8.00	3,736	MAX VALUE	964.32	0.61	0.08	0.93
MCB cycle size	4	10	6.83	7.00	2,819	MAX VALUE	786.25	1.19	0.17	1.54

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: 9.55%

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

Clustering coefficient 0.45 1.00 0.83 0.80 382.80 0.00 -93.36 0.14 0.17 3.82

Degree 2 150 44.01 8.00 20,332 MAX VALUE 1,247.00 56.31 1.28 3.53

Eccentricity 3 5 3.79 4.00 1,752 MAX VALUE 610.91 0.54 0.14 0.80

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.45	1.00	0.83	0.80	382.80	0.00	-93.36	0.14	0.17	3.82
Degree	2	150	44.01	8.00	20,332	MAX VALUE	1,247.00	56.31	1.28	3.53
Eccentricity	3	5	3.79	4.00	1,752	MAX VALUE	610.91	0.54	0.14	0.80

Incidence graph

Density: 0.71%
MCB compute time (ms): 1,217
MCB cycles: 413
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-39-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 27 3.61 2.00 1,848 MAX VALUE 464.99 5.03 1.39 0.57

Eccentricity 5 6 5.90 6.00 3,022 MAX VALUE 908.26 0.30 0.05 0.32

MCB cycle size 6 6 6.00 6.00 2,478 MAX VALUE 740.00 0.00 0.00 0.00

XCSP 2.1 Benchmarks