XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-13-ext
Number of variables: 50
Number of constraints: 463
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: 463

General features

Coarse blocks: 21,298
Value tables: 50

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

Arity 2 2 2.00 2.00 926 MAX VALUE 320.93 0.00 0.00 0.00

Coarse blocks size 3 23 16.70 17.00 355,684 MAX VALUE 59,572.70 2.92 0.17 2.42

Relational linkage 0.13 0.70 0.44 0.43 509.65 0.00 -968.25 0.10 0.22 2.21

Tightness 0.23 0.66 0.27 0.23 126.81 0.00 -618.50 0.09 0.33 1.21

Tuples 182 408 384.11 408.00 177,842 MAX VALUE 2,750.99 47.33 0.12 1.21

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

Value table constraints 11 28 18.52 18.50 926 MAX VALUE 144.92 3.65 0.20 2.60

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	926	MAX VALUE	320.93	0.00	0.00	0.00
Coarse blocks size	3	23	16.70	17.00	355,684	MAX VALUE	59,572.70	2.92	0.17	2.42
Relational linkage	0.13	0.70	0.44	0.43	509.65	0.00	-968.25	0.10	0.22	2.21
Tightness	0.23	0.66	0.27	0.23	126.81	0.00	-618.50	0.09	0.33	1.21
Tuples	182	408	384.11	408.00	177,842	MAX VALUE	2,750.99	47.33	0.12	1.21
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	11	28	18.52	18.50	926	MAX VALUE	144.92	3.65	0.20	2.60
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-2-50-23-587-230-13-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/Tree1.json

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

Cluster constraints 37 245 100.62 83.00 1,610 5.88e+30 70.85 63.59 0.63 2.77

Variables per cluster 12 35 20.56 19.00 329 4.04e+20 47.45 7.17 0.35 2.43

Separator constraints 0 198 71.69 57.50 1,147 0 None 53.95 0.75 2.69

Separator variables 0 32 17.44 17.00 279 0 None 7.60 0.44 2.43

Clusters per var 1 12 6.58 8.00 329 1.03e+35 80.62 3.56 0.54 2.25

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	37	245	100.62	83.00	1,610	5.88e+30	70.85	63.59	0.63	2.77
Variables per cluster	12	35	20.56	19.00	329	4.04e+20	47.45	7.17	0.35	2.43
Separator constraints	0	198	71.69	57.50	1,147	0	None	53.95	0.75	2.69
Separator variables	0	32	17.44	17.00	279	0	None	7.60	0.44	2.43
Clusters per var	1	12	6.58	8.00	329	1.03e+35	80.62	3.56	0.54	2.25

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 77
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/DualTree1.json

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

Cluster constraints 135 2,563 672.98 472.00 32,303 MAX VALUE 300.24 545.88 0.81 3.87

Variables per cluster 23 256 70.69 46.50 3,393 MAX VALUE 194.05 54.00 0.76 3.66

Separator constraints 0 1,372 497.06 403.00 23,859 0 None 315.72 0.64 3.81

Separator variables 0 187 61.04 43.50 2,930 0 None 40.99 0.67 3.66

Clusters per variable 1 11 7.33 8.00 3,393 MAX VALUE 872.58 2.50 0.34 1.97

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	135	2,563	672.98	472.00	32,303	MAX VALUE	300.24	545.88	0.81	3.87
Variables per cluster	23	256	70.69	46.50	3,393	MAX VALUE	194.05	54.00	0.76	3.66
Separator constraints	0	1,372	497.06	403.00	23,859	0	None	315.72	0.64	3.81
Separator variables	0	187	61.04	43.50	2,930	0	None	40.99	0.67	3.66
Clusters per variable	1	11	7.33	8.00	3,393	MAX VALUE	872.58	2.50	0.34	1.97

Primal graph

Density: 37.80%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,055
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/Primal1.json

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

Clustering coefficient 0.29 0.51 0.38 0.37 19.13 0.00 -48.36 0.04 0.12 3.70

Degree 11 28 18.52 18.50 926 MAX VALUE 144.92 3.65 0.20 2.60

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	0.29	0.51	0.38	0.37	19.13	0.00	-48.36	0.04	0.12	3.70
Degree	11	28	18.52	18.50	926	MAX VALUE	144.92	3.65	0.20	2.60
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: 71.35%
MCB compute time (ms): None
MCB cycles: None
Triangles: 9,300

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

Clustering coefficient 0.78 1.00 0.88 0.87 44.21 0.00 -6.32 0.07 0.08 3.41

Degree 11 45 34.96 41.00 1,748 MAX VALUE 173.92 11.09 0.32 2.68

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	0.78	1.00	0.88	0.87	44.21	0.00	-6.32	0.07	0.08	3.41
Degree	11	45	34.96	41.00	1,748	MAX VALUE	173.92	11.09	0.32	2.68
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: 7.90%
MCB compute time (ms): 71,509
MCB cycles: 8,276
Triangles: 51,574
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/Dual1.json

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

Clustering coefficient 0.48 0.59 0.51 0.50 235.08 0.00 -314.07 0.02 0.03 5.23

Degree 22 51 36.48 36.00 16,888 MAX VALUE 1,661.17 4.80 0.13 2.97

Eccentricity 3 3 3.00 3.00 1,389 MAX VALUE 508.66 0.00 0.00 0.00

MCB cycle size 3 4 3.01 3.00 24,919 MAX VALUE 9,118.29 0.10 0.03 0.06

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	0.59	0.51	0.50	235.08	0.00	-314.07	0.02	0.03	5.23
Degree	22	51	36.48	36.00	16,888	MAX VALUE	1,661.17	4.80	0.13	2.97
Eccentricity	3	3	3.00	3.00	1,389	MAX VALUE	508.66	0.00	0.00	0.00
MCB cycle size	3	4	3.01	3.00	24,919	MAX VALUE	9,118.29	0.10	0.03	0.06

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,329
MCB cycles: 414

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 1,752 MAX VALUE 604.28 0.87 0.23 1.21

Eccentricity 7 11 8.33 8.00 3,855 MAX VALUE 979.31 0.77 0.09 1.15

MCB cycle size 4 10 6.83 7.00 2,828 MAX VALUE 789.22 1.14 0.17 1.52

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	1,752	MAX VALUE	604.28	0.87	0.23	1.21
Eccentricity	7	11	8.33	8.00	3,855	MAX VALUE	979.31	0.77	0.09	1.15
MCB cycle size	4	10	6.83	7.00	2,828	MAX VALUE	789.22	1.14	0.17	1.52

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: 10.03%

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

Clustering coefficient 0.55 1.00 0.83 0.80 386.30 0.00 -89.79 0.13 0.16 3.85

Degree 2 156 46.34 8.00 21,456 MAX VALUE 1,261.47 59.33 1.28 3.42

Eccentricity 3 5 3.77 4.00 1,744 MAX VALUE 609.04 0.54 0.14 0.81

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.55	1.00	0.83	0.80	386.30	0.00	-89.79	0.13	0.16	3.85
Degree	2	156	46.34	8.00	21,456	MAX VALUE	1,261.47	59.33	1.28	3.42
Eccentricity	3	5	3.77	4.00	1,744	MAX VALUE	609.04	0.54	0.14	0.81

Incidence graph

Density: 0.71%
MCB compute time (ms): 1,004
MCB cycles: 414
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-13-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 1,852 MAX VALUE 465.85 5.03 1.39 0.57

Eccentricity 5 6 5.90 6.00 3,028 MAX VALUE 910.06 0.30 0.05 0.32

MCB cycle size 6 6 6.00 6.00 2,484 MAX VALUE 741.79 0.00 0.00 0.00

XCSP 2.1 Benchmarks