XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-10-ext
Number of variables: 50
Number of constraints: 465
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: 465

General features

Coarse blocks: 21,390
Value tables: 50

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

Arity 2 2 2.00 2.00 930 MAX VALUE 322.31 0.00 0.00 0.00

Coarse blocks size 4 23 16.69 17.00 357,088 MAX VALUE 59,866.20 2.81 0.17 2.40

Relational linkage 0.17 0.70 0.47 0.48 538.83 0.00 -893.66 0.09 0.19 2.11

Tightness 0.23 0.55 0.27 0.23 127.49 0.00 -619.02 0.08 0.30 1.27

Tuples 238 408 383.97 408.00 178,544 MAX VALUE 2,763.55 43.81 0.11 1.27

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

Value table constraints 12 29 18.60 18.00 930 MAX VALUE 145.48 3.12 0.17 2.38

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	930	MAX VALUE	322.31	0.00	0.00	0.00
Coarse blocks size	4	23	16.69	17.00	357,088	MAX VALUE	59,866.20	2.81	0.17	2.40
Relational linkage	0.17	0.70	0.47	0.48	538.83	0.00	-893.66	0.09	0.19	2.11
Tightness	0.23	0.55	0.27	0.23	127.49	0.00	-619.02	0.08	0.30	1.27
Tuples	238	408	383.97	408.00	178,544	MAX VALUE	2,763.55	43.81	0.11	1.27
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	12	29	18.60	18.00	930	MAX VALUE	145.48	3.12	0.17	2.38
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-2-50-23-587-230-10-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/Tree1.json

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

Cluster constraints 36 237 124.31 107.00 1,989 2.17e+32 74.46 68.71 0.55 2.77

Variables per cluster 13 35 23.62 22.50 378 4.07e+21 49.76 7.52 0.32 2.60

Separator constraints 0 223 95.25 71.00 1,524 0 None 67.30 0.71 2.77

Separator variables 0 34 20.50 19.00 328 0 None 8.71 0.42 2.69

Clusters per var 1 15 7.56 9.00 378 6.49e+37 87.07 4.10 0.54 2.44

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	36	237	124.31	107.00	1,989	2.17e+32	74.46	68.71	0.55	2.77
Variables per cluster	13	35	23.62	22.50	378	4.07e+21	49.76	7.52	0.32	2.60
Separator constraints	0	223	95.25	71.00	1,524	0	None	67.30	0.71	2.77
Separator variables	0	34	20.50	19.00	328	0	None	8.71	0.42	2.69
Clusters per var	1	15	7.56	9.00	378	6.49e+37	87.07	4.10	0.54	2.44

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 76
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/DualTree1.json

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

Cluster constraints 158 2,725 692.00 457.00 33,216 MAX VALUE 301.07 598.34 0.86 3.87

Variables per cluster 25 260 72.46 46.50 3,478 MAX VALUE 194.84 57.55 0.79 3.56

Separator constraints 0 1,537 516.44 401.50 24,789 0 None 358.71 0.69 3.87

Separator variables 0 201 62.77 43.00 3,013 0 None 44.33 0.71 3.50

Clusters per variable 1 11 7.48 8.00 3,478 MAX VALUE 885.46 2.54 0.34 2.01

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	158	2,725	692.00	457.00	33,216	MAX VALUE	301.07	598.34	0.86	3.87
Variables per cluster	25	260	72.46	46.50	3,478	MAX VALUE	194.84	57.55	0.79	3.56
Separator constraints	0	1,537	516.44	401.50	24,789	0	None	358.71	0.69	3.87
Separator variables	0	201	62.77	43.00	3,013	0	None	44.33	0.71	3.50
Clusters per variable	1	11	7.48	8.00	3,478	MAX VALUE	885.46	2.54	0.34	2.01

Primal graph

Density: 37.96%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,056
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/Primal1.json

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

Clustering coefficient 0.30 0.46 0.38 0.38 18.81 0.00 -49.04 0.03 0.08 3.66

Degree 12 29 18.60 18.00 930 MAX VALUE 145.48 3.12 0.17 2.38

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	0.30	0.46	0.38	0.38	18.81	0.00	-49.04	0.03	0.08	3.66
Degree	12	29	18.60	18.00	930	MAX VALUE	145.48	3.12	0.17	2.38
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: 75.35%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,350

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

Clustering coefficient 0.76 1.00 0.89 0.88 44.63 0.00 -5.82 0.07 0.07 3.55

Degree 12 48 36.92 42.00 1,846 MAX VALUE 177.49 10.43 0.28 2.84

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	0.76	1.00	0.89	0.88	44.63	0.00	-5.82	0.07	0.07	3.55
Degree	12	48	36.92	42.00	1,846	MAX VALUE	177.49	10.43	0.28	2.84
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: 7.81%
MCB compute time (ms): 7,239
MCB cycles: 12,605
Triangles: 50,801
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/Dual1.json

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

Clustering coefficient 0.49 0.57 0.50 0.50 234.45 0.00 -318.56 0.01 0.02 5.08

Degree 24 52 36.25 36.00 16,854 MAX VALUE 1,666.01 4.48 0.12 2.86

Eccentricity 3 3 3.00 3.00 1,395 MAX VALUE 510.86 0.00 0.00 0.00

MCB cycle size 3 4 3.15 3.00 39,690 MAX VALUE 14,387.40 0.36 0.11 0.42

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.57	0.50	0.50	234.45	0.00	-318.56	0.01	0.02	5.08
Degree	24	52	36.25	36.00	16,854	MAX VALUE	1,666.01	4.48	0.12	2.86
Eccentricity	3	3	3.00	3.00	1,395	MAX VALUE	510.86	0.00	0.00	0.00
MCB cycle size	3	4	3.15	3.00	39,690	MAX VALUE	14,387.40	0.36	0.11	0.42

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,464
MCB cycles: 416

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 3.78 4.00 1,760 MAX VALUE 606.34 0.90 0.24 1.23

Eccentricity 7 10 8.18 8.00 3,802 MAX VALUE 975.34 0.71 0.09 1.07

MCB cycle size 4 10 6.87 7.00 2,857 MAX VALUE 794.72 1.19 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	3.78	4.00	1,760	MAX VALUE	606.34	0.90	0.24	1.23
Eccentricity	7	10	8.18	8.00	3,802	MAX VALUE	975.34	0.71	0.09	1.07
MCB cycle size	4	10	6.87	7.00	2,857	MAX VALUE	794.72	1.19	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: 9.51%

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

Clustering coefficient 0.52 1.00 0.83 0.80 385.17 0.00 -94.17 0.14 0.17 3.84

Degree 2 154 44.15 8.00 20,528 MAX VALUE 1,253.11 56.72 1.28 3.51

Eccentricity 3 5 3.77 4.00 1,752 MAX VALUE 611.94 0.53 0.14 0.79

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.52	1.00	0.83	0.80	385.17	0.00	-94.17	0.14	0.17	3.84
Degree	2	154	44.15	8.00	20,528	MAX VALUE	1,253.11	56.72	1.28	3.51
Eccentricity	3	5	3.77	4.00	1,752	MAX VALUE	611.94	0.53	0.14	0.79

Incidence graph

Density: 0.70%
MCB compute time (ms): 1,060
MCB cycles: 416
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-10-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 3.61 2.00 1,860 MAX VALUE 467.79 5.01 1.39 0.55

Eccentricity 5 6 5.91 6.00 3,042 MAX VALUE 914.00 0.29 0.05 0.31

MCB cycle size 6 6 6.00 6.00 2,496 MAX VALUE 745.37 0.00 0.00 0.00

XCSP 2.1 Benchmarks