XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-14-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 2 23 16.77 17.00 363,378 MAX VALUE 60,733.00 2.82 0.17 2.40

Relational linkage 0.09 0.74 0.47 0.48 534.83 0.00 -906.02 0.09 0.20 2.17

Tightness 0.23 0.63 0.27 0.23 127.54 0.00 -633.10 0.08 0.31 1.16

Tuples 196 408 385.75 408.00 181,689 MAX VALUE 2,801.13 44.73 0.12 1.16

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

Value table constraints 13 25 18.84 19.00 942 MAX VALUE 146.15 2.99 0.16 2.32

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	2	23	16.77	17.00	363,378	MAX VALUE	60,733.00	2.82	0.17	2.40
Relational linkage	0.09	0.74	0.47	0.48	534.83	0.00	-906.02	0.09	0.20	2.17
Tightness	0.23	0.63	0.27	0.23	127.54	0.00	-633.10	0.08	0.31	1.16
Tuples	196	408	385.75	408.00	181,689	MAX VALUE	2,801.13	44.73	0.12	1.16
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	13	25	18.84	19.00	942	MAX VALUE	146.15	2.99	0.16	2.32
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: 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-2-50-23-587-230-14-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/Tree1.json

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

Cluster constraints 45 254 117.27 92.00 1,759 7.17e+29 68.74 70.11 0.60 2.71

Variables per cluster 14 36 22.67 21.00 340 9.37e+19 45.99 7.57 0.33 2.40

Separator constraints 0 211 85.87 51.00 1,288 0 None 63.39 0.74 2.71

Separator variables 0 33 19.33 16.00 290 0 None 8.44 0.44 2.40

Clusters per var 1 13 6.80 7.50 340 1.44e+36 83.26 3.68 0.54 2.41

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	45	254	117.27	92.00	1,759	7.17e+29	68.74	70.11	0.60	2.71
Variables per cluster	14	36	22.67	21.00	340	9.37e+19	45.99	7.57	0.33	2.40
Separator constraints	0	211	85.87	51.00	1,288	0	None	63.39	0.74	2.71
Separator variables	0	33	19.33	16.00	290	0	None	8.44	0.44	2.40
Clusters per var	1	13	6.80	7.50	340	1.44e+36	83.26	3.68	0.54	2.41

Dual tree decomposition

Number of clusters: 48
Number of leaves: 25
Tree depth: 5
CIR: 0.08
Independent Cluster Pairs: 83
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/DualTree1.json

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

Cluster constraints 172 3,059 723.44 449.50 34,725 MAX VALUE 302.90 635.68 0.88 3.87

Variables per cluster 26 280 73.67 47.50 3,536 MAX VALUE 195.67 58.24 0.79 3.52

Separator constraints 0 1,709 543.73 405.50 26,099 0 None 380.67 0.70 3.87

Separator variables 0 201 63.85 45.00 3,065 0 None 44.47 0.70 3.49

Clusters per variable 1 10 7.51 9.00 3,536 MAX VALUE 902.07 2.40 0.32 1.51

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	172	3,059	723.44	449.50	34,725	MAX VALUE	302.90	635.68	0.88	3.87
Variables per cluster	26	280	73.67	47.50	3,536	MAX VALUE	195.67	58.24	0.79	3.52
Separator constraints	0	1,709	543.73	405.50	26,099	0	None	380.67	0.70	3.87
Separator variables	0	201	63.85	45.00	3,065	0	None	44.47	0.70	3.49
Clusters per variable	1	10	7.51	9.00	3,536	MAX VALUE	902.07	2.40	0.32	1.51

Primal graph

Density: 38.45%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,073
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/Primal1.json

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

Clustering coefficient 0.32 0.49 0.38 0.37 18.88 0.00 -48.89 0.03 0.09 3.59

Degree 13 25 18.84 19.00 942 MAX VALUE 146.15 2.99 0.16 2.32

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	0.32	0.49	0.38	0.37	18.88	0.00	-48.89	0.03	0.09	3.59
Degree	13	25	18.84	19.00	942	MAX VALUE	146.15	2.99	0.16	2.32
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: 75.10%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,333

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

Clustering coefficient 0.78 1.00 0.89 0.88 44.71 0.00 -5.72 0.06 0.07 3.37

Degree 13 47 36.80 41.50 1,840 MAX VALUE 177.20 10.55 0.29 2.71

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	0.89	0.88	44.71	0.00	-5.72	0.06	0.07	3.37
Degree	13	47	36.80	41.50	1,840	MAX VALUE	177.20	10.55	0.29	2.71
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: 7.79%
MCB compute time (ms): 9,323
MCB cycles: 11,790
Triangles: 52,220
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/Dual1.json

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

Clustering coefficient 0.49 0.55 0.50 0.50 237.27 0.00 -323.03 0.01 0.02 4.98

Degree 25 47 36.63 37.00 17,252 MAX VALUE 1,693.13 4.00 0.11 2.78

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

MCB cycle size 3 4 3.11 3.00 36,665 MAX VALUE 13,325.20 0.31 0.10 0.35

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.55	0.50	0.50	237.27	0.00	-323.03	0.01	0.02	4.98
Degree	25	47	36.63	37.00	17,252	MAX VALUE	1,693.13	4.00	0.11	2.78
Eccentricity	3	3	3.00	3.00	1,413	MAX VALUE	517.45	0.00	0.00	0.00
MCB cycle size	3	4	3.11	3.00	36,665	MAX VALUE	13,325.20	0.31	0.10	0.35

Minimal dual graph

Density: 0.81%
MCB compute time (ms): 2,578
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 615.63 0.86 0.23 1.15

Eccentricity 7 10 8.15 8.00 3,840 MAX VALUE 986.93 0.63 0.08 0.95

MCB cycle size 4 10 6.82 7.00 2,877 MAX VALUE 803.22 1.18 0.17 1.57

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	615.63	0.86	0.23	1.15
Eccentricity	7	10	8.15	8.00	3,840	MAX VALUE	986.93	0.63	0.08	0.95
MCB cycle size	4	10	6.82	7.00	2,877	MAX VALUE	803.22	1.18	0.17	1.57

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: 9.83%

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

Clustering coefficient 0.56 1.00 0.83 0.80 392.42 0.00 -92.07 0.13 0.16 3.84

Degree 2 154 46.19 8.00 21,754 MAX VALUE 1,284.72 59.18 1.28 3.37

Eccentricity 3 5 3.76 4.00 1,772 MAX VALUE 619.24 0.53 0.14 0.78

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.56	1.00	0.83	0.80	392.42	0.00	-92.07	0.13	0.16	3.84
Degree	2	154	46.19	8.00	21,754	MAX VALUE	1,284.72	59.18	1.28	3.37
Eccentricity	3	5	3.76	4.00	1,772	MAX VALUE	619.24	0.53	0.14	0.78

Incidence graph

Density: 0.70%
MCB compute time (ms): 1,063
MCB cycles: 422
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-14-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 25 3.62 2.00 1,884 MAX VALUE 472.62 5.05 1.40 0.54

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