XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-34-ext
Number of variables: 50
Number of constraints: 462
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: 462

General features

Coarse blocks: 21,252
Value tables: 50

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

Arity 2 2 2.00 2.00 924 MAX VALUE 320.23 0.00 0.00 0.00

Coarse blocks size 3 23 16.68 17.00 354,538 MAX VALUE 59,429.80 2.90 0.17 2.42

Relational linkage 0.13 0.70 0.45 0.43 518.04 0.00 -946.40 0.10 0.21 2.21

Tightness 0.23 0.64 0.27 0.23 126.90 0.00 -616.04 0.09 0.33 1.23

Tuples 188 408 383.70 408.00 177,269 MAX VALUE 2,744.60 47.41 0.12 1.23

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

Value table constraints 13 25 18.48 18.50 924 MAX VALUE 145.17 3.00 0.16 2.41

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	924	MAX VALUE	320.23	0.00	0.00	0.00
Coarse blocks size	3	23	16.68	17.00	354,538	MAX VALUE	59,429.80	2.90	0.17	2.42
Relational linkage	0.13	0.70	0.45	0.43	518.04	0.00	-946.40	0.10	0.21	2.21
Tightness	0.23	0.64	0.27	0.23	126.90	0.00	-616.04	0.09	0.33	1.23
Tuples	188	408	383.70	408.00	177,269	MAX VALUE	2,744.60	47.41	0.12	1.23
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	13	25	18.48	18.50	924	MAX VALUE	145.17	3.00	0.16	2.41
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: 4
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Tree1.json

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

Cluster constraints 37 239 110.40 71.00 1,656 2.39e+29 67.65 70.79 0.64 2.71

Variables per cluster 14 36 22.67 19.00 340 9.24e+19 45.97 7.83 0.35 2.34

Separator constraints 0 223 79.60 48.00 1,194 0 None 64.96 0.82 2.71

Separator variables 0 35 19.33 17.00 290 0 None 8.68 0.45 2.43

Clusters per var 1 12 6.80 7.00 340 5.88e+35 82.36 3.66 0.54 2.26

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	37	239	110.40	71.00	1,656	2.39e+29	67.65	70.79	0.64	2.71
Variables per cluster	14	36	22.67	19.00	340	9.24e+19	45.97	7.83	0.35	2.34
Separator constraints	0	223	79.60	48.00	1,194	0	None	64.96	0.82	2.71
Separator variables	0	35	19.33	17.00	290	0	None	8.68	0.45	2.43
Clusters per var	1	12	6.80	7.00	340	5.88e+35	82.36	3.66	0.54	2.26

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 80
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/DualTree1.json

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

Cluster constraints 157 2,933 692.06 449.50 33,219 MAX VALUE 300.87 602.15 0.87 3.78

Variables per cluster 25 274 71.98 46.50 3,455 MAX VALUE 194.60 56.66 0.79 3.43

Separator constraints 0 1,558 519.12 390.00 24,918 0 None 360.90 0.70 3.81

Separator variables 0 187 62.35 44.50 2,993 0 None 43.23 0.69 3.43

Clusters per variable 1 10 7.48 9.00 3,455 MAX VALUE 882.41 2.41 0.32 1.52

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	157	2,933	692.06	449.50	33,219	MAX VALUE	300.87	602.15	0.87	3.78
Variables per cluster	25	274	71.98	46.50	3,455	MAX VALUE	194.60	56.66	0.79	3.43
Separator constraints	0	1,558	519.12	390.00	24,918	0	None	360.90	0.70	3.81
Separator variables	0	187	62.35	44.50	2,993	0	None	43.23	0.69	3.43
Clusters per variable	1	10	7.48	9.00	3,455	MAX VALUE	882.41	2.41	0.32	1.52

Primal graph

Density: 37.71%
MCB compute time (ms): None
MCB cycles: None
Triangles: 999
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Primal1.json

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

Clustering coefficient 0.28 0.47 0.36 0.36 18.06 0.00 -51.14 0.03 0.09 3.69

Degree 13 25 18.48 18.50 924 MAX VALUE 145.17 3.00 0.16 2.41

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	0.28	0.47	0.36	0.36	18.06	0.00	-51.14	0.03	0.09	3.69
Degree	13	25	18.48	18.50	924	MAX VALUE	145.17	3.00	0.16	2.41
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: 75.10%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,363

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

Clustering coefficient 0.79 1.00 0.90 0.89 44.79 0.00 -5.63 0.07 0.07 3.46

Degree 13 46 36.80 41.00 1,840 MAX VALUE 177.15 10.68 0.29 2.62

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	44.79	0.00	-5.63	0.07	0.07	3.46
Degree	13	46	36.80	41.00	1,840	MAX VALUE	177.15	10.68	0.29	2.62
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: 7.80%
MCB compute time (ms): 14,904
MCB cycles: 9,551
Triangles: 49,353
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Dual1.json

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

Clustering coefficient 0.48 0.55 0.50 0.50 232.54 0.00 -317.26 0.01 0.02 5.04

Degree 24 47 35.94 36.00 16,602 MAX VALUE 1,651.64 4.14 0.12 2.82

Eccentricity 3 3 3.00 3.00 1,386 MAX VALUE 507.56 0.00 0.00 0.00

MCB cycle size 3 4 3.06 3.00 29,243 MAX VALUE 10,662.60 0.24 0.08 0.23

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	0.55	0.50	0.50	232.54	0.00	-317.26	0.01	0.02	5.04
Degree	24	47	35.94	36.00	16,602	MAX VALUE	1,651.64	4.14	0.12	2.82
Eccentricity	3	3	3.00	3.00	1,386	MAX VALUE	507.56	0.00	0.00	0.00
MCB cycle size	3	4	3.06	3.00	29,243	MAX VALUE	10,662.60	0.24	0.08	0.23

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,779
MCB cycles: 413

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

Clustering coefficient 0.00 0.10 0.00 0.00 0.23 0.00 None 0.01 12.62 0.04

Degree 2 6 3.78 4.00 1,748 MAX VALUE 603.31 0.87 0.23 1.18

Eccentricity 7 9 7.97 8.00 3,680 MAX VALUE 957.20 0.64 0.08 0.96

MCB cycle size 3 11 6.99 7.00 2,887 MAX VALUE 796.51 1.20 0.17 1.58

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.10	0.00	0.00	0.23	0.00	None	0.01	12.62	0.04
Degree	2	6	3.78	4.00	1,748	MAX VALUE	603.31	0.87	0.23	1.18
Eccentricity	7	9	7.97	8.00	3,680	MAX VALUE	957.20	0.64	0.08	0.96
MCB cycle size	3	11	6.99	7.00	2,887	MAX VALUE	796.51	1.20	0.17	1.58

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: 9.98%

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

Clustering coefficient 0.47 1.00 0.84 0.81 388.35 0.00 -86.29 0.13 0.16 3.77

Degree 2 150 46.00 8.00 21,254 MAX VALUE 1,251.55 59.27 1.29 3.31

Eccentricity 3 5 3.72 4.00 1,720 MAX VALUE 602.93 0.50 0.13 0.72

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.84	0.81	388.35	0.00	-86.29	0.13	0.16	3.77
Degree	2	150	46.00	8.00	21,254	MAX VALUE	1,251.55	59.27	1.29	3.31
Eccentricity	3	5	3.72	4.00	1,720	MAX VALUE	602.93	0.50	0.13	0.72

Incidence graph

Density: 0.71%
MCB compute time (ms): 1,248
MCB cycles: 413
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-34-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 3.61 2.00 1,848 MAX VALUE 465.40 4.98 1.38 0.56

Eccentricity 5 6 5.90 6.00 3,022 MAX VALUE 908.26 0.30 0.05 0.32

MCB cycle size 6 6 6.00 6.00 2,478 MAX VALUE 740.00 0.00 0.00 0.00

XCSP 2.1 Benchmarks