XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-50-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 17.00 355,748 MAX VALUE 59,570.60 2.93 0.18 2.42

Relational linkage 0.13 0.70 0.44 0.43 506.70 0.00 -976.39 0.10 0.23 2.24

Tightness 0.23 0.66 0.27 0.23 126.75 0.00 -619.16 0.09 0.33 1.21

Tuples 182 408 384.18 408.00 177,874 MAX VALUE 2,750.93 48.06 0.13 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 30 18.52 18.00 926 MAX VALUE 145.03 3.57 0.19 2.42

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	355,748	MAX VALUE	59,570.60	2.93	0.18	2.42
Relational linkage	0.13	0.70	0.44	0.43	506.70	0.00	-976.39	0.10	0.23	2.24
Tightness	0.23	0.66	0.27	0.23	126.75	0.00	-619.16	0.09	0.33	1.21
Tuples	182	408	384.18	408.00	177,874	MAX VALUE	2,750.93	48.06	0.13	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	30	18.52	18.00	926	MAX VALUE	145.03	3.57	0.19	2.42
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: 8
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-2-50-23-587-230-50-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/Tree1.json

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

Cluster constraints 35 242 119.12 89.50 1,906 7.41e+31 73.38 71.90 0.60 2.77

Variables per cluster 12 35 22.81 20.00 365 2.00e+21 49.05 7.95 0.35 2.39

Separator constraints 0 226 90.19 68.00 1,443 0 None 68.66 0.76 2.69

Separator variables 0 34 19.69 18.50 315 0 None 8.90 0.45 2.51

Clusters per var 1 15 7.30 8.00 365 2.63e+37 86.16 3.94 0.54 2.44

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	35	242	119.12	89.50	1,906	7.41e+31	73.38	71.90	0.60	2.77
Variables per cluster	12	35	22.81	20.00	365	2.00e+21	49.05	7.95	0.35	2.39
Separator constraints	0	226	90.19	68.00	1,443	0	None	68.66	0.76	2.69
Separator variables	0	34	19.69	18.50	315	0	None	8.90	0.45	2.51
Clusters per var	1	15	7.30	8.00	365	2.63e+37	86.16	3.94	0.54	2.44

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 72
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/DualTree1.json

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

Cluster constraints 136 2,732 699.04 490.50 33,554 MAX VALUE 300.83 613.24 0.88 3.84

Variables per cluster 23 258 72.25 47.00 3,468 MAX VALUE 194.57 57.19 0.79 3.48

Separator constraints 0 1,612 523.42 422.50 25,124 0 None 368.15 0.70 3.87

Separator variables 0 203 62.60 44.00 3,005 0 None 43.91 0.70 3.52

Clusters per variable 1 11 7.49 8.00 3,468 MAX VALUE 885.57 2.44 0.33 2.03

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	136	2,732	699.04	490.50	33,554	MAX VALUE	300.83	613.24	0.88	3.84
Variables per cluster	23	258	72.25	47.00	3,468	MAX VALUE	194.57	57.19	0.79	3.48
Separator constraints	0	1,612	523.42	422.50	25,124	0	None	368.15	0.70	3.87
Separator variables	0	203	62.60	44.00	3,005	0	None	43.91	0.70	3.52
Clusters per variable	1	11	7.49	8.00	3,468	MAX VALUE	885.57	2.44	0.33	2.03

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-2-50-23-587-230-50-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/Primal1.json

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

Clustering coefficient 0.29 0.50 0.38 0.38 19.01 0.00 -48.65 0.04 0.11 3.79

Degree 11 30 18.52 18.00 926 MAX VALUE 145.03 3.57 0.19 2.42

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	0.50	0.38	0.38	19.01	0.00	-48.65	0.04	0.11	3.79
Degree	11	30	18.52	18.00	926	MAX VALUE	145.03	3.57	0.19	2.42
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: 74.29%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,122

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

Clustering coefficient 0.75 1.00 0.89 0.89 44.64 0.00 -5.81 0.07 0.07 3.49

Degree 11 48 36.40 41.00 1,820 MAX VALUE 176.46 10.71 0.29 2.80

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	0.89	44.64	0.00	-5.81	0.07	0.07	3.49
Degree	11	48	36.40	41.00	1,820	MAX VALUE	176.46	10.71	0.29	2.80
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): 59,955
MCB cycles: 8,557
Triangles: 51,522
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/Dual1.json

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

Clustering coefficient 0.49 0.62 0.51 0.50 234.72 0.00 -314.74 0.02 0.03 5.07

Degree 22 54 36.41 37.00 16,860 MAX VALUE 1,660.15 4.98 0.14 2.96

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

MCB cycle size 3 4 3.02 3.00 25,810 MAX VALUE 9,440.81 0.13 0.04 0.08

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.62	0.51	0.50	234.72	0.00	-314.74	0.02	0.03	5.07
Degree	22	54	36.41	37.00	16,860	MAX VALUE	1,660.15	4.98	0.14	2.96
Eccentricity	3	3	3.00	3.00	1,389	MAX VALUE	508.66	0.00	0.00	0.00
MCB cycle size	3	4	3.02	3.00	25,810	MAX VALUE	9,440.81	0.13	0.04	0.08

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,373
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 7 3.78 4.00 1,752 MAX VALUE 604.18 0.88 0.23 1.22

Eccentricity 6 10 7.87 8.00 3,643 MAX VALUE 953.55 0.64 0.08 0.97

MCB cycle size 4 10 7.07 7.00 2,926 MAX VALUE 803.30 1.17 0.17 1.53

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	7	3.78	4.00	1,752	MAX VALUE	604.18	0.88	0.23	1.22
Eccentricity	6	10	7.87	8.00	3,643	MAX VALUE	953.55	0.64	0.08	0.97
MCB cycle size	4	10	7.07	7.00	2,926	MAX VALUE	803.30	1.17	0.17	1.53

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: 9.93%

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

Clustering coefficient 0.54 1.00 0.84 0.80 388.18 0.00 -87.64 0.13 0.16 3.76

Degree 2 153 45.89 8.00 21,246 MAX VALUE 1,252.55 58.84 1.28 3.47

Eccentricity 3 5 3.70 4.00 1,711 MAX VALUE 600.65 0.50 0.14 0.73

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.54	1.00	0.84	0.80	388.18	0.00	-87.64	0.13	0.16	3.76
Degree	2	153	45.89	8.00	21,246	MAX VALUE	1,252.55	58.84	1.28	3.47
Eccentricity	3	5	3.70	4.00	1,711	MAX VALUE	600.65	0.50	0.14	0.73

Incidence graph

Density: 0.71%
MCB compute time (ms): 938
MCB cycles: 414
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-50-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 30 3.61 2.00 1,852 MAX VALUE 465.95 5.02 1.39 0.56

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

MCB cycle size 6 8 6.00 6.00 2,486 MAX VALUE 742.08 0.10 0.02 0.02

XCSP 2.1 Benchmarks