XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-4-ext
Number of variables: 50
Number of constraints: 470
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: 470

General features

Coarse blocks: 21,620
Value tables: 50

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

Arity 2 2 2.00 2.00 940 MAX VALUE 325.78 0.00 0.00 0.00

Coarse blocks size 4 23 16.76 17.00 362,318 MAX VALUE 60,593.80 2.81 0.17 2.40

Relational linkage 0.17 0.65 0.47 0.48 535.39 0.00 -901.52 0.09 0.19 2.11

Tightness 0.23 0.55 0.27 0.23 127.54 0.00 -630.47 0.08 0.31 1.18

Tuples 238 408 385.44 408.00 181,159 MAX VALUE 2,794.99 44.05 0.11 1.18

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

Value table constraints 13 27 18.80 18.00 940 MAX VALUE 145.85 3.48 0.18 2.50

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	940	MAX VALUE	325.78	0.00	0.00	0.00
Coarse blocks size	4	23	16.76	17.00	362,318	MAX VALUE	60,593.80	2.81	0.17	2.40
Relational linkage	0.17	0.65	0.47	0.48	535.39	0.00	-901.52	0.09	0.19	2.11
Tightness	0.23	0.55	0.27	0.23	127.54	0.00	-630.47	0.08	0.31	1.18
Tuples	238	408	385.44	408.00	181,159	MAX VALUE	2,794.99	44.05	0.11	1.18
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	13	27	18.80	18.00	940	MAX VALUE	145.85	3.48	0.18	2.50
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: 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-2-50-23-587-230-4-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/Tree1.json

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

Cluster constraints 46 251 122.33 83.00 1,835 8.28e+29 68.89 78.59 0.64 2.62

Variables per cluster 14 36 23.13 19.00 347 1.10e+20 46.14 8.44 0.36 2.30

Separator constraints 0 220 91.00 51.00 1,365 0 None 74.22 0.82 2.71

Separator variables 0 34 19.80 16.00 297 0 None 9.35 0.47 2.30

Clusters per var 1 12 6.94 8.00 347 3.24e+36 84.07 3.56 0.51 2.18

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	46	251	122.33	83.00	1,835	8.28e+29	68.89	78.59	0.64	2.62
Variables per cluster	14	36	23.13	19.00	347	1.10e+20	46.14	8.44	0.36	2.30
Separator constraints	0	220	91.00	51.00	1,365	0	None	74.22	0.82	2.71
Separator variables	0	34	19.80	16.00	297	0	None	9.35	0.47	2.30
Clusters per var	1	12	6.94	8.00	347	3.24e+36	84.07	3.56	0.51	2.18

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
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-2-50-23-587-230-4-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/DualTree1.json

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

Cluster constraints 156 2,823 709.62 471.00 34,062 MAX VALUE 301.97 607.63 0.86 3.84

Variables per cluster 25 262 72.79 48.50 3,494 MAX VALUE 195.13 57.14 0.78 3.63

Separator constraints 0 1,598 529.04 413.00 25,394 0 None 364.54 0.69 3.87

Separator variables 0 201 63.00 45.50 3,024 0 None 43.93 0.70 3.66

Clusters per variable 1 11 7.43 8.00 3,494 MAX VALUE 893.52 2.50 0.34 2.04

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	156	2,823	709.62	471.00	34,062	MAX VALUE	301.97	607.63	0.86	3.84
Variables per cluster	25	262	72.79	48.50	3,494	MAX VALUE	195.13	57.14	0.78	3.63
Separator constraints	0	1,598	529.04	413.00	25,394	0	None	364.54	0.69	3.87
Separator variables	0	201	63.00	45.50	3,024	0	None	43.93	0.70	3.66
Clusters per variable	1	11	7.43	8.00	3,494	MAX VALUE	893.52	2.50	0.34	2.04

Primal graph

Density: 38.37%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,110
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/Primal1.json

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

Clustering coefficient 0.29 0.47 0.38 0.38 19.14 0.00 -48.24 0.04 0.09 3.80

Degree 13 27 18.80 18.00 940 MAX VALUE 145.85 3.48 0.18 2.50

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	0.47	0.38	0.38	19.14	0.00	-48.24	0.04	0.09	3.80
Degree	13	27	18.80	18.00	940	MAX VALUE	145.85	3.48	0.18	2.50
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: 75.67%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,587

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

Clustering coefficient 0.80 1.00 0.90 0.89 44.97 0.00 -5.41 0.06 0.07 3.24

Degree 13 46 37.08 42.00 1,854 MAX VALUE 177.50 10.63 0.29 2.57

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	0.80	1.00	0.90	0.89	44.97	0.00	-5.41	0.06	0.07	3.24
Degree	13	46	37.08	42.00	1,854	MAX VALUE	177.50	10.63	0.29	2.57
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: 7.86%
MCB compute time (ms): 69,166
MCB cycles: 9,378
Triangles: 53,466
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/Dual1.json

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

Clustering coefficient 0.48 0.56 0.51 0.50 237.68 0.00 -320.57 0.01 0.02 5.26

Degree 24 51 36.89 37.00 17,336 MAX VALUE 1,691.35 4.98 0.14 3.00

Eccentricity 3 3 3.00 3.00 1,410 MAX VALUE 516.35 0.00 0.00 0.00

MCB cycle size 3 4 3.04 3.00 28,528 MAX VALUE 10,416.10 0.20 0.07 0.17

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	0.56	0.51	0.50	237.68	0.00	-320.57	0.01	0.02	5.26
Degree	24	51	36.89	37.00	17,336	MAX VALUE	1,691.35	4.98	0.14	3.00
Eccentricity	3	3	3.00	3.00	1,410	MAX VALUE	516.35	0.00	0.00	0.00
MCB cycle size	3	4	3.04	3.00	28,528	MAX VALUE	10,416.10	0.20	0.07	0.17

Minimal dual graph

Density: 0.81%
MCB compute time (ms): 3,368
MCB cycles: 421

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

Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.02 12.97 0.04

Degree 2 6 3.79 4.00 1,780 MAX VALUE 613.32 0.89 0.23 1.23

Eccentricity 6 10 7.93 8.00 3,726 MAX VALUE 971.64 0.62 0.08 0.93

MCB cycle size 3 10 6.98 7.00 2,940 MAX VALUE 811.65 1.17 0.17 1.54

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.00	0.00	0.83	0.00	None	0.02	12.97	0.04
Degree	2	6	3.79	4.00	1,780	MAX VALUE	613.32	0.89	0.23	1.23
Eccentricity	6	10	7.93	8.00	3,726	MAX VALUE	971.64	0.62	0.08	0.93
MCB cycle size	3	10	6.98	7.00	2,940	MAX VALUE	811.65	1.17	0.17	1.54

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: 9.36%

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

Clustering coefficient 0.54 1.00 0.83 0.80 389.30 0.00 -94.92 0.14 0.16 3.84

Degree 2 150 43.88 8.00 20,624 MAX VALUE 1,261.27 56.97 1.30 3.50

Eccentricity 3 5 3.80 4.00 1,785 MAX VALUE 622.36 0.53 0.14 0.79

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.54	1.00	0.83	0.80	389.30	0.00	-94.92	0.14	0.16	3.84
Degree	2	150	43.88	8.00	20,624	MAX VALUE	1,261.27	56.97	1.30	3.50
Eccentricity	3	5	3.80	4.00	1,785	MAX VALUE	622.36	0.53	0.14	0.79

Incidence graph

Density: 0.70%
MCB compute time (ms): 1,170
MCB cycles: 421
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-4-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 3.62 2.00 1,880 MAX VALUE 471.62 5.07 1.40 0.56

Eccentricity 5 6 5.90 6.00 3,070 MAX VALUE 922.60 0.29 0.05 0.32

MCB cycle size 6 8 6.00 6.00 2,528 MAX VALUE 754.62 0.10 0.02 0.02

XCSP 2.1 Benchmarks