XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-25-ext
Number of variables: 50
Number of constraints: 471
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: 471

General features

Coarse blocks: 21,666
Value tables: 50

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

Arity 2 2 2.00 2.00 942 MAX VALUE 326.47 0.00 0.00 0.00

Coarse blocks size 4 23 16.78 17.00 363,508 MAX VALUE 60,718.80 2.87 0.17 2.40

Relational linkage 0.17 0.74 0.45 0.43 512.13 0.00 -960.19 0.10 0.22 2.20

Tightness 0.23 0.66 0.27 0.23 127.42 0.00 -634.41 0.09 0.32 1.15

Tuples 178 408 385.89 408.00 181,754 MAX VALUE 2,800.87 46.51 0.12 1.15

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

Value table constraints 12 29 18.84 19.00 942 MAX VALUE 145.91 3.48 0.18 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	942	MAX VALUE	326.47	0.00	0.00	0.00
Coarse blocks size	4	23	16.78	17.00	363,508	MAX VALUE	60,718.80	2.87	0.17	2.40
Relational linkage	0.17	0.74	0.45	0.43	512.13	0.00	-960.19	0.10	0.22	2.20
Tightness	0.23	0.66	0.27	0.23	127.42	0.00	-634.41	0.09	0.32	1.15
Tuples	178	408	385.89	408.00	181,754	MAX VALUE	2,800.87	46.51	0.12	1.15
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	12	29	18.84	19.00	942	MAX VALUE	145.91	3.48	0.18	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: 15
Number of leaves: 7
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-2-50-23-587-230-25-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/Tree1.json

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

Cluster constraints 37 261 124.67 95.00 1,870 1.11e+30 69.18 76.23 0.61 2.71

Variables per cluster 13 36 22.93 21.00 344 9.43e+19 45.99 8.16 0.36 2.30

Separator constraints 0 231 93.27 72.00 1,399 0 None 70.15 0.75 2.62

Separator variables 0 34 19.60 19.00 294 0 None 9.05 0.46 2.30

Clusters per var 1 13 6.88 8.00 344 6.67e+36 84.79 3.49 0.51 2.33

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	37	261	124.67	95.00	1,870	1.11e+30	69.18	76.23	0.61	2.71
Variables per cluster	13	36	22.93	21.00	344	9.43e+19	45.99	8.16	0.36	2.30
Separator constraints	0	231	93.27	72.00	1,399	0	None	70.15	0.75	2.62
Separator variables	0	34	19.60	19.00	294	0	None	9.05	0.46	2.30
Clusters per var	1	13	6.88	8.00	344	6.67e+36	84.79	3.49	0.51	2.33

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 81
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/DualTree1.json

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

Cluster constraints 158 2,805 724.50 481.50 34,776 MAX VALUE 302.78 626.92 0.87 3.84

Variables per cluster 25 264 73.83 46.00 3,544 MAX VALUE 195.59 58.49 0.79 3.59

Separator constraints 0 1,668 543.12 430.00 26,070 0 None 370.31 0.68 3.84

Separator variables 0 205 64.02 44.00 3,073 0 None 44.89 0.70 3.62

Clusters per variable 1 11 7.52 8.00 3,544 MAX VALUE 902.89 2.46 0.33 2.03

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	158	2,805	724.50	481.50	34,776	MAX VALUE	302.78	626.92	0.87	3.84
Variables per cluster	25	264	73.83	46.00	3,544	MAX VALUE	195.59	58.49	0.79	3.59
Separator constraints	0	1,668	543.12	430.00	26,070	0	None	370.31	0.68	3.84
Separator variables	0	205	64.02	44.00	3,073	0	None	44.89	0.70	3.62
Clusters per variable	1	11	7.52	8.00	3,544	MAX VALUE	902.89	2.46	0.33	2.03

Primal graph

Density: 38.45%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,119
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/Primal1.json

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

Clustering coefficient 0.31 0.47 0.39 0.39 19.43 0.00 -47.47 0.03 0.09 3.80

Degree 12 29 18.84 19.00 942 MAX VALUE 145.91 3.48 0.18 2.42

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	0.31	0.47	0.39	0.39	19.43	0.00	-47.47	0.03	0.09	3.80
Degree	12	29	18.84	19.00	942	MAX VALUE	145.91	3.48	0.18	2.42
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: 75.43%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,488

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

Clustering coefficient 0.79 1.00 0.90 0.89 44.87 0.00 -5.52 0.06 0.07 3.53

Degree 12 47 36.96 42.00 1,848 MAX VALUE 177.33 10.52 0.28 2.64

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	0.79	1.00	0.90	0.89	44.87	0.00	-5.52	0.06	0.07	3.53
Degree	12	47	36.96	42.00	1,848	MAX VALUE	177.33	10.52	0.28	2.64
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: 7.87%
MCB compute time (ms): 14,785
MCB cycles: 10,078
Triangles: 53,719
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/Dual1.json

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

Clustering coefficient 0.49 0.59 0.51 0.50 238.36 0.00 -320.93 0.01 0.03 5.07

Degree 24 51 36.97 37.00 17,412 MAX VALUE 1,696.31 4.78 0.13 2.94

Eccentricity 3 3 3.00 3.00 1,413 MAX VALUE 517.45 0.00 0.00 0.00

MCB cycle size 3 4 3.04 3.00 30,672 MAX VALUE 11,197.80 0.20 0.07 0.18

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.59	0.51	0.50	238.36	0.00	-320.93	0.01	0.03	5.07
Degree	24	51	36.97	37.00	17,412	MAX VALUE	1,696.31	4.78	0.13	2.94
Eccentricity	3	3	3.00	3.00	1,413	MAX VALUE	517.45	0.00	0.00	0.00
MCB cycle size	3	4	3.04	3.00	30,672	MAX VALUE	11,197.80	0.20	0.07	0.18

Minimal dual graph

Density: 0.81%
MCB compute time (ms): 2,499
MCB cycles: 422

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 3.79 4.00 1,784 MAX VALUE 614.81 0.90 0.24 1.19

Eccentricity 6 10 7.95 8.00 3,743 MAX VALUE 974.98 0.59 0.07 0.89

MCB cycle size 4 10 6.96 7.00 2,936 MAX VALUE 813.07 1.08 0.16 1.48

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	3.79	4.00	1,784	MAX VALUE	614.81	0.90	0.24	1.19
Eccentricity	6	10	7.95	8.00	3,743	MAX VALUE	974.98	0.59	0.07	0.89
MCB cycle size	4	10	6.96	7.00	2,936	MAX VALUE	813.07	1.08	0.16	1.48

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 0.52 1.00 0.84 0.80 395.21 0.00 -88.57 0.13 0.16 3.81

Degree 2 155 47.16 9.00 22,212 MAX VALUE 1,284.12 60.73 1.29 3.32

Eccentricity 3 5 3.77 4.00 1,775 MAX VALUE 620.17 0.52 0.14 0.76

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.52	1.00	0.84	0.80	395.21	0.00	-88.57	0.13	0.16	3.81
Degree	2	155	47.16	9.00	22,212	MAX VALUE	1,284.12	60.73	1.29	3.32
Eccentricity	3	5	3.77	4.00	1,775	MAX VALUE	620.17	0.52	0.14	0.76

Incidence graph

Density: 0.70%
MCB compute time (ms): 1,115
MCB cycles: 422
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-25-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 1,884 MAX VALUE 472.38 5.08 1.40 0.55

Eccentricity 5 6 5.91 6.00 3,078 MAX VALUE 924.75 0.29 0.05 0.31

MCB cycle size 6 6 6.00 6.00 2,532 MAX VALUE 756.12 0.00 0.00 0.00

XCSP 2.1 Benchmarks