XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-37-ext
Number of variables: 50
Number of constraints: 485
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: 485

General features

Coarse blocks: 22,310
Value tables: 50

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

Arity 2 2 2.00 2.00 970 MAX VALUE 336.18 0.00 0.00 0.00

Coarse blocks size 1 23 16.91 17.00 377,290 MAX VALUE 62,759.10 2.71 0.16 2.36

Relational linkage 0.04 0.70 0.47 0.48 542.30 0.00 -887.06 0.09 0.18 2.10

Tightness 0.23 0.66 0.26 0.23 128.39 0.00 -660.55 0.08 0.29 1.04

Tuples 182 408 388.96 408.00 188,645 MAX VALUE 2,889.06 41.14 0.11 1.04

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

Value table constraints 12 27 19.40 20.00 970 MAX VALUE 147.44 3.44 0.18 2.47

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	970	MAX VALUE	336.18	0.00	0.00	0.00
Coarse blocks size	1	23	16.91	17.00	377,290	MAX VALUE	62,759.10	2.71	0.16	2.36
Relational linkage	0.04	0.70	0.47	0.48	542.30	0.00	-887.06	0.09	0.18	2.10
Tightness	0.23	0.66	0.26	0.23	128.39	0.00	-660.55	0.08	0.29	1.04
Tuples	182	408	388.96	408.00	188,645	MAX VALUE	2,889.06	41.14	0.11	1.04
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	12	27	19.40	20.00	970	MAX VALUE	147.44	3.44	0.18	2.47
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-2-50-23-587-230-37-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/Tree1.json

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

Cluster constraints 41 273 131.40 93.00 1,971 2.32e+30 69.92 83.90 0.64 2.71

Variables per cluster 13 36 23.27 20.00 349 1.18e+20 46.22 8.39 0.36 2.43

Separator constraints 0 246 99.07 58.00 1,486 0 None 79.19 0.80 2.71

Separator variables 0 34 19.93 17.00 299 0 None 9.34 0.47 2.43

Clusters per var 1 13 6.98 8.00 349 1.17e+37 85.35 3.40 0.49 2.17

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	41	273	131.40	93.00	1,971	2.32e+30	69.92	83.90	0.64	2.71
Variables per cluster	13	36	23.27	20.00	349	1.18e+20	46.22	8.39	0.36	2.43
Separator constraints	0	246	99.07	58.00	1,486	0	None	79.19	0.80	2.71
Separator variables	0	34	19.93	17.00	299	0	None	9.34	0.47	2.43
Clusters per var	1	13	6.98	8.00	349	1.17e+37	85.35	3.40	0.49	2.17

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 5
CIR: 0.06
Independent Cluster Pairs: 67
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/DualTree1.json

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

Cluster constraints 158 3,042 749.00 511.00 35,952 MAX VALUE 305.19 621.90 0.83 3.76

Variables per cluster 25 279 74.58 48.50 3,580 MAX VALUE 196.60 57.40 0.77 3.60

Separator constraints 0 1,594 556.94 444.00 26,733 0 None 363.57 0.65 3.78

Separator variables 0 195 64.48 46.00 3,095 0 None 43.57 0.68 3.63

Clusters per variable 1 11 7.38 9.00 3,580 MAX VALUE 920.14 2.44 0.33 1.79

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	158	3,042	749.00	511.00	35,952	MAX VALUE	305.19	621.90	0.83	3.76
Variables per cluster	25	279	74.58	48.50	3,580	MAX VALUE	196.60	57.40	0.77	3.60
Separator constraints	0	1,594	556.94	444.00	26,733	0	None	363.57	0.65	3.78
Separator variables	0	195	64.48	46.00	3,095	0	None	43.57	0.68	3.63
Clusters per variable	1	11	7.38	9.00	3,580	MAX VALUE	920.14	2.44	0.33	1.79

Primal graph

Density: 39.59%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,221
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/Primal1.json

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

Clustering coefficient 0.31 0.45 0.40 0.40 19.93 0.00 -46.20 0.04 0.09 3.77

Degree 12 27 19.40 20.00 970 MAX VALUE 147.44 3.44 0.18 2.47

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	0.31	0.45	0.40	0.40	19.93	0.00	-46.20	0.04	0.09	3.77
Degree	12	27	19.40	20.00	970	MAX VALUE	147.44	3.44	0.18	2.47
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: 75.84%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,625

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

Clustering coefficient 0.79 1.00 0.90 0.89 44.95 0.00 -5.42 0.06 0.06 3.52

Degree 12 47 37.16 42.00 1,858 MAX VALUE 177.66 10.50 0.28 2.52

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	44.95	0.00	-5.42	0.06	0.06	3.52
Degree	12	47	37.16	42.00	1,858	MAX VALUE	177.66	10.50	0.28	2.52
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: 7.85%
MCB compute time (ms): 67,844
MCB cycles: 9,131
Triangles: 58,392
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/Dual1.json

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

Clustering coefficient 0.49 0.56 0.51 0.50 245.29 0.00 -330.77 0.01 0.02 5.17

Degree 24 51 38.02 38.00 18,438 MAX VALUE 1,760.69 4.67 0.12 2.94

Eccentricity 3 3 3.00 3.00 1,455 MAX VALUE 532.83 0.00 0.00 0.00

MCB cycle size 3 4 3.02 3.00 27,558 MAX VALUE 10,078.90 0.13 0.04 0.09

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.56	0.51	0.50	245.29	0.00	-330.77	0.01	0.02	5.17
Degree	24	51	38.02	38.00	18,438	MAX VALUE	1,760.69	4.67	0.12	2.94
Eccentricity	3	3	3.00	3.00	1,455	MAX VALUE	532.83	0.00	0.00	0.00
MCB cycle size	3	4	3.02	3.00	27,558	MAX VALUE	10,078.90	0.13	0.04	0.09

Minimal dual graph

Density: 0.78%
MCB compute time (ms): 3,113
MCB cycles: 436

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 1,840 MAX VALUE 634.49 0.86 0.23 1.21

Eccentricity 7 9 8.00 8.00 3,879 MAX VALUE 1,007.21 0.56 0.07 0.84

MCB cycle size 4 10 6.90 7.00 3,010 MAX VALUE 835.65 1.15 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	6	3.79	4.00	1,840	MAX VALUE	634.49	0.86	0.23	1.21
Eccentricity	7	9	8.00	8.00	3,879	MAX VALUE	1,007.21	0.56	0.07	0.84
MCB cycle size	4	10	6.90	7.00	3,010	MAX VALUE	835.65	1.15	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: 9.79%

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

Clustering coefficient 0.48 1.00 0.84 0.80 405.35 0.00 -93.22 0.13 0.16 3.88

Degree 2 158 47.40 9.00 22,988 MAX VALUE 1,324.41 61.21 1.29 3.46

Eccentricity 3 5 3.76 4.00 1,823 MAX VALUE 637.34 0.52 0.14 0.76

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	1.00	0.84	0.80	405.35	0.00	-93.22	0.13	0.16	3.88
Degree	2	158	47.40	9.00	22,988	MAX VALUE	1,324.41	61.21	1.29	3.46
Eccentricity	3	5	3.76	4.00	1,823	MAX VALUE	637.34	0.52	0.14	0.76

Incidence graph

Density: 0.68%
MCB compute time (ms): 1,011
MCB cycles: 436
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-37-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 27 3.63 2.00 1,940 MAX VALUE 483.62 5.17 1.43 0.54

Eccentricity 5 6 5.91 6.00 3,160 MAX VALUE 949.48 0.29 0.05 0.31

MCB cycle size 6 6 6.00 6.00 2,616 MAX VALUE 781.21 0.00 0.00 0.00

XCSP 2.1 Benchmarks