XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-16-ext
Number of variables: 50
Number of constraints: 461
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: 461

General features

Coarse blocks: 21,206
Value tables: 50

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

Arity 2 2 2.00 2.00 922 MAX VALUE 319.54 0.00 0.00 0.00

Coarse blocks size 4 23 16.68 17.00 353,640 MAX VALUE 59,284.90 2.93 0.18 2.42

Relational linkage 0.17 0.70 0.45 0.43 517.30 0.00 -948.07 0.10 0.22 2.20

Tightness 0.23 0.56 0.27 0.23 126.75 0.00 -614.57 0.09 0.33 1.22

Tuples 233 408 383.56 408.00 176,820 MAX VALUE 2,738.43 47.86 0.12 1.22

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

Value table constraints 11 26 18.44 18.00 922 MAX VALUE 144.72 3.61 0.20 2.52

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	922	MAX VALUE	319.54	0.00	0.00	0.00
Coarse blocks size	4	23	16.68	17.00	353,640	MAX VALUE	59,284.90	2.93	0.18	2.42
Relational linkage	0.17	0.70	0.45	0.43	517.30	0.00	-948.07	0.10	0.22	2.20
Tightness	0.23	0.56	0.27	0.23	126.75	0.00	-614.57	0.09	0.33	1.22
Tuples	233	408	383.56	408.00	176,820	MAX VALUE	2,738.43	47.86	0.12	1.22
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	11	26	18.44	18.00	922	MAX VALUE	144.72	3.61	0.20	2.52
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-2-50-23-587-230-16-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/Tree1.json

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

Cluster constraints 34 243 108.19 81.00 1,731 8.60e+30 71.23 73.90 0.68 2.77

Variables per cluster 12 35 21.62 19.50 346 7.52e+20 48.07 8.14 0.38 2.31

Separator constraints 0 211 79.38 47.00 1,270 0 None 67.38 0.85 2.77

Separator variables 0 33 18.50 16.00 296 0 None 8.78 0.47 2.31

Clusters per var 1 14 6.92 7.50 346 1.74e+36 83.45 3.72 0.54 2.31

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	34	243	108.19	81.00	1,731	8.60e+30	71.23	73.90	0.68	2.77
Variables per cluster	12	35	21.62	19.50	346	7.52e+20	48.07	8.14	0.38	2.31
Separator constraints	0	211	79.38	47.00	1,270	0	None	67.38	0.85	2.77
Separator variables	0	33	18.50	16.00	296	0	None	8.78	0.47	2.31
Clusters per var	1	14	6.92	7.50	346	1.74e+36	83.45	3.72	0.54	2.31

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 5
CIR: 0.09
Independent Cluster Pairs: 93
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/DualTree1.json

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

Cluster constraints 149 2,660 674.54 482.50 32,378 MAX VALUE 299.78 571.07 0.85 3.76

Variables per cluster 24 254 70.58 45.50 3,388 MAX VALUE 193.80 54.85 0.78 3.60

Separator constraints 0 1,567 500.27 411.00 24,013 0 None 342.56 0.68 3.78

Separator variables 0 194 60.98 43.50 2,927 0 None 42.08 0.69 3.60

Clusters per variable 1 11 7.35 8.00 3,388 MAX VALUE 869.50 2.53 0.34 2.08

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	149	2,660	674.54	482.50	32,378	MAX VALUE	299.78	571.07	0.85	3.76
Variables per cluster	24	254	70.58	45.50	3,388	MAX VALUE	193.80	54.85	0.78	3.60
Separator constraints	0	1,567	500.27	411.00	24,013	0	None	342.56	0.68	3.78
Separator variables	0	194	60.98	43.50	2,927	0	None	42.08	0.69	3.60
Clusters per variable	1	11	7.35	8.00	3,388	MAX VALUE	869.50	2.53	0.34	2.08

Primal graph

Density: 37.63%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,064
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/Primal1.json

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

Clustering coefficient 0.33 0.49 0.38 0.38 19.11 0.00 -48.27 0.03 0.09 3.63

Degree 11 26 18.44 18.00 922 MAX VALUE 144.72 3.61 0.20 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	0.33	0.49	0.38	0.38	19.11	0.00	-48.27	0.03	0.09	3.63
Degree	11	26	18.44	18.00	922	MAX VALUE	144.72	3.61	0.20	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

Triangulated primal graph

Density: 72.73%
MCB compute time (ms): None
MCB cycles: None
Triangles: 9,752

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

Clustering coefficient 0.76 1.00 0.89 0.88 44.56 0.00 -5.90 0.07 0.07 3.40

Degree 11 47 35.64 40.50 1,782 MAX VALUE 174.97 11.05 0.31 2.67

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	44.56	0.00	-5.90	0.07	0.07	3.40
Degree	11	47	35.64	40.50	1,782	MAX VALUE	174.97	11.05	0.31	2.67
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: 7.89%
MCB compute time (ms): 18,850
MCB cycles: 8,518
Triangles: 50,786
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/Dual1.json

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

Clustering coefficient 0.48 0.59 0.51 0.50 233.71 0.00 -313.35 0.01 0.03 5.19

Degree 23 49 36.29 36.00 16,730 MAX VALUE 1,651.37 4.92 0.14 2.99

Eccentricity 3 3 3.00 3.00 1,383 MAX VALUE 506.46 0.00 0.00 0.00

MCB cycle size 3 4 3.02 3.00 25,721 MAX VALUE 9,406.02 0.14 0.05 0.10

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	0.59	0.51	0.50	233.71	0.00	-313.35	0.01	0.03	5.19
Degree	23	49	36.29	36.00	16,730	MAX VALUE	1,651.37	4.92	0.14	2.99
Eccentricity	3	3	3.00	3.00	1,383	MAX VALUE	506.46	0.00	0.00	0.00
MCB cycle size	3	4	3.02	3.00	25,721	MAX VALUE	9,406.02	0.14	0.05	0.10

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,887
MCB cycles: 412

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 1,744 MAX VALUE 601.56 0.88 0.23 1.20

Eccentricity 7 10 8.06 8.00 3,716 MAX VALUE 960.56 0.66 0.08 1.00

MCB cycle size 4 10 6.87 7.00 2,830 MAX VALUE 786.98 1.21 0.18 1.58

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	1,744	MAX VALUE	601.56	0.88	0.23	1.20
Eccentricity	7	10	8.06	8.00	3,716	MAX VALUE	960.56	0.66	0.08	1.00
MCB cycle size	4	10	6.87	7.00	2,830	MAX VALUE	786.98	1.21	0.18	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: 9.63%

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

Clustering coefficient 0.49 1.00 0.83 0.80 383.12 0.00 -91.61 0.14 0.16 3.78

Degree 2 148 44.30 8.00 20,422 MAX VALUE 1,241.98 57.05 1.29 3.44

Eccentricity 3 5 3.77 4.00 1,737 MAX VALUE 606.75 0.53 0.14 0.78

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	1.00	0.83	0.80	383.12	0.00	-91.61	0.14	0.16	3.78
Degree	2	148	44.30	8.00	20,422	MAX VALUE	1,241.98	57.05	1.29	3.44
Eccentricity	3	5	3.77	4.00	1,737	MAX VALUE	606.75	0.53	0.14	0.78

Incidence graph

Density: 0.71%
MCB compute time (ms): 989
MCB cycles: 412
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-16-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 26 3.61 2.00 1,844 MAX VALUE 464.26 5.01 1.39 0.57

Eccentricity 5 6 5.90 6.00 3,016 MAX VALUE 906.47 0.30 0.05 0.32

MCB cycle size 6 6 6.00 6.00 2,472 MAX VALUE 738.21 0.00 0.00 0.00

XCSP 2.1 Benchmarks