XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-47-ext
Number of variables: 50
Number of constraints: 461
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: 461

General features

Coarse blocks: 21,206
Value tables: 50

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

Arity 2 2 2.00 2.00 922 MAX VALUE 319.54 0.00 0.00 0.00

Coarse blocks size 3 23 16.66 17.00 353,214 MAX VALUE 59,287.90 2.85 0.17 2.42

Relational linkage 0.13 0.74 0.46 0.48 530.52 0.00 -916.88 0.09 0.20 2.15

Tightness 0.23 0.66 0.28 0.23 127.15 0.00 -611.30 0.08 0.31 1.30

Tuples 179 408 383.10 408.00 176,607 MAX VALUE 2,738.48 44.70 0.12 1.30

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

Value table constraints 11 28 18.44 18.00 922 MAX VALUE 144.95 3.26 0.18 2.40

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	922	MAX VALUE	319.54	0.00	0.00	0.00
Coarse blocks size	3	23	16.66	17.00	353,214	MAX VALUE	59,287.90	2.85	0.17	2.42
Relational linkage	0.13	0.74	0.46	0.48	530.52	0.00	-916.88	0.09	0.20	2.15
Tightness	0.23	0.66	0.28	0.23	127.15	0.00	-611.30	0.08	0.31	1.30
Tuples	179	408	383.10	408.00	176,607	MAX VALUE	2,738.48	44.70	0.12	1.30
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	11	28	18.44	18.00	922	MAX VALUE	144.95	3.26	0.18	2.40
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: 4
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Tree1.json

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

Cluster constraints 30 233 115.31 72.50 1,845 3.36e+31 72.59 75.10 0.65 2.60

Variables per cluster 12 35 22.62 18.50 362 1.73e+21 48.90 8.18 0.36 2.34

Separator constraints 0 217 86.50 54.50 1,384 0 None 72.26 0.84 2.69

Separator variables 0 34 19.50 17.00 312 0 None 9.06 0.46 2.43

Clusters per var 1 15 7.24 8.00 362 7.90e+36 84.96 3.95 0.55 2.36

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	30	233	115.31	72.50	1,845	3.36e+31	72.59	75.10	0.65	2.60
Variables per cluster	12	35	22.62	18.50	362	1.73e+21	48.90	8.18	0.36	2.34
Separator constraints	0	217	86.50	54.50	1,384	0	None	72.26	0.84	2.69
Separator variables	0	34	19.50	17.00	312	0	None	9.06	0.46	2.43
Clusters per var	1	15	7.24	8.00	362	7.90e+36	84.96	3.95	0.55	2.36

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 75
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/DualTree1.json

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

Cluster constraints 147 2,926 687.62 468.00 33,006 MAX VALUE 300.48 600.38 0.87 3.84

Variables per cluster 24 268 71.81 46.00 3,447 MAX VALUE 194.43 56.76 0.79 3.56

Separator constraints 0 1,618 514.60 410.50 24,701 0 None 357.16 0.69 3.87

Separator variables 0 203 62.21 43.00 2,986 0 None 43.44 0.70 3.59

Clusters per variable 1 10 7.48 8.00 3,447 MAX VALUE 879.78 2.46 0.33 1.92

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	147	2,926	687.62	468.00	33,006	MAX VALUE	300.48	600.38	0.87	3.84
Variables per cluster	24	268	71.81	46.00	3,447	MAX VALUE	194.43	56.76	0.79	3.56
Separator constraints	0	1,618	514.60	410.50	24,701	0	None	357.16	0.69	3.87
Separator variables	0	203	62.21	43.00	2,986	0	None	43.44	0.70	3.59
Clusters per variable	1	10	7.48	8.00	3,447	MAX VALUE	879.78	2.46	0.33	1.92

Primal graph

Density: 37.63%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,032
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Primal1.json

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

Clustering coefficient 0.26 0.47 0.37 0.37 18.65 0.00 -49.54 0.04 0.10 3.74

Degree 11 28 18.44 18.00 922 MAX VALUE 144.95 3.26 0.18 2.40

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	0.26	0.47	0.37	0.37	18.65	0.00	-49.54	0.04	0.10	3.74
Degree	11	28	18.44	18.00	922	MAX VALUE	144.95	3.26	0.18	2.40
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: 74.04%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,087

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

Clustering coefficient 0.75 1.00 0.89 0.88 44.71 0.00 -5.74 0.07 0.07 3.38

Degree 11 48 36.28 41.00 1,814 MAX VALUE 176.20 10.87 0.30 2.75

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	0.88	44.71	0.00	-5.74	0.07	0.07	3.38
Degree	11	48	36.28	41.00	1,814	MAX VALUE	176.20	10.87	0.30	2.75
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: 7.83%
MCB compute time (ms): 24,977
MCB cycles: 9,341
Triangles: 49,836
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Dual1.json

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

Clustering coefficient 0.48 0.60 0.50 0.50 232.69 0.00 -315.31 0.01 0.02 5.05

Degree 23 52 36.03 36.00 16,610 MAX VALUE 1,648.60 4.62 0.13 2.91

Eccentricity 3 3 3.00 3.00 1,383 MAX VALUE 506.46 0.00 0.00 0.00

MCB cycle size 3 4 3.05 3.00 28,529 MAX VALUE 10,407.70 0.23 0.07 0.21

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	0.60	0.50	0.50	232.69	0.00	-315.31	0.01	0.02	5.05
Degree	23	52	36.03	36.00	16,610	MAX VALUE	1,648.60	4.62	0.13	2.91
Eccentricity	3	3	3.00	3.00	1,383	MAX VALUE	506.46	0.00	0.00	0.00
MCB cycle size	3	4	3.05	3.00	28,529	MAX VALUE	10,407.70	0.23	0.07	0.21

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,305
MCB cycles: 412

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 1,744 MAX VALUE 602.48 0.84 0.22 1.17

Eccentricity 6 9 7.88 8.00 3,634 MAX VALUE 950.41 0.61 0.08 0.93

MCB cycle size 4 10 6.93 7.00 2,857 MAX VALUE 789.83 1.29 0.19 1.63

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	1,744	MAX VALUE	602.48	0.84	0.22	1.17
Eccentricity	6	9	7.88	8.00	3,634	MAX VALUE	950.41	0.61	0.08	0.93
MCB cycle size	4	10	6.93	7.00	2,857	MAX VALUE	789.83	1.29	0.19	1.63

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: 10.04%

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

Clustering coefficient 0.54 1.00 0.84 0.80 387.65 0.00 -85.73 0.13 0.16 3.78

Degree 2 155 46.19 8.00 21,292 MAX VALUE 1,253.09 59.09 1.28 3.35

Eccentricity 3 5 3.67 4.00 1,694 MAX VALUE 595.61 0.49 0.13 0.69

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.54	1.00	0.84	0.80	387.65	0.00	-85.73	0.13	0.16	3.78
Degree	2	155	46.19	8.00	21,292	MAX VALUE	1,253.09	59.09	1.28	3.35
Eccentricity	3	5	3.67	4.00	1,694	MAX VALUE	595.61	0.49	0.13	0.69

Incidence graph

Density: 0.71%
MCB compute time (ms): 1,116
MCB cycles: 412
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-47-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 3.61 2.00 1,844 MAX VALUE 464.49 4.99 1.38 0.56

Eccentricity 5 6 5.90 6.00 3,016 MAX VALUE 906.47 0.30 0.05 0.32

MCB cycle size 6 8 6.00 6.00 2,474 MAX VALUE 738.49 0.10 0.02 0.02

XCSP 2.1 Benchmarks