XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-40-ext
Number of variables: 50
Number of constraints: 463
Satisfiable: True
Timestamp: 2025-07-27 21:34:16
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 50
Number of constraints: 463

General features

Coarse blocks: 21,298
Value tables: 50

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

Arity 2 2 2.00 2.00 926 MAX VALUE 320.93 0.00 0.00 0.00

Coarse blocks size 2 23 16.69 17.00 355,556 MAX VALUE 59,578.40 2.87 0.17 2.41

Relational linkage 0.09 0.70 0.45 0.48 518.52 0.00 -949.43 0.10 0.22 2.22

Tightness 0.23 0.66 0.27 0.23 126.94 0.00 -617.64 0.09 0.32 1.22

Tuples 179 408 383.97 408.00 177,778 MAX VALUE 2,750.99 46.57 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 29 18.52 18.00 926 MAX VALUE 145.02 3.52 0.19 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	926	MAX VALUE	320.93	0.00	0.00	0.00
Coarse blocks size	2	23	16.69	17.00	355,556	MAX VALUE	59,578.40	2.87	0.17	2.41
Relational linkage	0.09	0.70	0.45	0.48	518.52	0.00	-949.43	0.10	0.22	2.22
Tightness	0.23	0.66	0.27	0.23	126.94	0.00	-617.64	0.09	0.32	1.22
Tuples	179	408	383.97	408.00	177,778	MAX VALUE	2,750.99	46.57	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	29	18.52	18.00	926	MAX VALUE	145.02	3.52	0.19	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: 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-2-50-23-587-230-40-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/Tree1.json

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

Cluster constraints 37 247 111.38 83.00 1,782 2.61e+31 72.34 71.60 0.64 2.77

Variables per cluster 12 35 21.94 19.50 351 1.17e+21 48.51 7.50 0.34 2.34

Separator constraints 0 230 82.44 62.00 1,319 0 None 66.00 0.80 2.77

Separator variables 0 34 18.81 18.00 301 0 None 8.27 0.44 2.43

Clusters per var 1 13 7.02 8.00 351 5.01e+36 84.50 3.66 0.52 2.19

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	37	247	111.38	83.00	1,782	2.61e+31	72.34	71.60	0.64	2.77
Variables per cluster	12	35	21.94	19.50	351	1.17e+21	48.51	7.50	0.34	2.34
Separator constraints	0	230	82.44	62.00	1,319	0	None	66.00	0.80	2.77
Separator variables	0	34	18.81	18.00	301	0	None	8.27	0.44	2.43
Clusters per var	1	13	7.02	8.00	351	5.01e+36	84.50	3.66	0.52	2.19

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 6
CIR: 0.07
Independent Cluster Pairs: 80
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/DualTree1.json

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

Cluster constraints 148 2,698 680.35 463.50 32,657 MAX VALUE 300.13 576.49 0.85 3.81

Variables per cluster 24 253 71.17 45.50 3,416 MAX VALUE 194.18 55.28 0.78 3.58

Separator constraints 0 1,404 504.92 401.00 24,236 0 None 338.69 0.67 3.78

Separator variables 0 191 61.52 42.50 2,953 0 None 42.15 0.69 3.52

Clusters per variable 1 11 7.38 8.00 3,416 MAX VALUE 876.37 2.49 0.34 2.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	148	2,698	680.35	463.50	32,657	MAX VALUE	300.13	576.49	0.85	3.81
Variables per cluster	24	253	71.17	45.50	3,416	MAX VALUE	194.18	55.28	0.78	3.58
Separator constraints	0	1,404	504.92	401.00	24,236	0	None	338.69	0.67	3.78
Separator variables	0	191	61.52	42.50	2,953	0	None	42.15	0.69	3.52
Clusters per variable	1	11	7.38	8.00	3,416	MAX VALUE	876.37	2.49	0.34	2.00

Primal graph

Density: 37.80%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,086
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/Primal1.json

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

Clustering coefficient 0.29 0.49 0.39 0.38 19.39 0.00 -47.63 0.04 0.10 3.82

Degree 11 29 18.52 18.00 926 MAX VALUE 145.02 3.52 0.19 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	0.49	0.39	0.38	19.39	0.00	-47.63	0.04	0.10	3.82
Degree	11	29	18.52	18.00	926	MAX VALUE	145.02	3.52	0.19	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: 73.14%
MCB compute time (ms): None
MCB cycles: None
Triangles: 9,773

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

Clustering coefficient 0.77 1.00 0.89 0.87 44.38 0.00 -6.09 0.07 0.07 3.50

Degree 11 46 35.84 41.00 1,792 MAX VALUE 175.61 10.75 0.30 2.51

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	0.77	1.00	0.89	0.87	44.38	0.00	-6.09	0.07	0.07	3.50
Degree	11	46	35.84	41.00	1,792	MAX VALUE	175.61	10.75	0.30	2.51
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: 7.87%
MCB compute time (ms): 20,733
MCB cycles: 9,219
Triangles: 51,265
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/Dual1.json

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

Clustering coefficient 0.49 0.61 0.51 0.50 234.39 0.00 -315.34 0.01 0.03 5.13

Degree 23 51 36.38 36.00 16,842 MAX VALUE 1,659.60 4.97 0.14 3.00

Eccentricity 3 3 3.00 3.00 1,389 MAX VALUE 508.66 0.00 0.00 0.00

MCB cycle size 3 4 3.04 3.00 28,049 MAX VALUE 10,240.90 0.20 0.07 0.18

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.61	0.51	0.50	234.39	0.00	-315.34	0.01	0.03	5.13
Degree	23	51	36.38	36.00	16,842	MAX VALUE	1,659.60	4.97	0.14	3.00
Eccentricity	3	3	3.00	3.00	1,389	MAX VALUE	508.66	0.00	0.00	0.00
MCB cycle size	3	4	3.04	3.00	28,049	MAX VALUE	10,240.90	0.20	0.07	0.18

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,121
MCB cycles: 414

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 1,752 MAX VALUE 604.43 0.87 0.23 1.21

Eccentricity 6 9 7.98 8.00 3,697 MAX VALUE 960.61 0.59 0.07 0.90

MCB cycle size 4 10 6.94 7.00 2,873 MAX VALUE 794.83 1.21 0.17 1.54

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	1,752	MAX VALUE	604.43	0.87	0.23	1.21
Eccentricity	6	9	7.98	8.00	3,697	MAX VALUE	960.61	0.59	0.07	0.90
MCB cycle size	4	10	6.94	7.00	2,873	MAX VALUE	794.83	1.21	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: 9.81%

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

Clustering coefficient 0.54 1.00 0.83 0.80 386.18 0.00 -90.12 0.13 0.16 3.80

Degree 2 151 45.34 8.00 20,992 MAX VALUE 1,252.40 58.18 1.28 3.46

Eccentricity 3 6 4.48 5.00 2,074 MAX VALUE 690.43 0.56 0.13 0.84

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.54	1.00	0.83	0.80	386.18	0.00	-90.12	0.13	0.16	3.80
Degree	2	151	45.34	8.00	20,992	MAX VALUE	1,252.40	58.18	1.28	3.46
Eccentricity	3	6	4.48	5.00	2,074	MAX VALUE	690.43	0.56	0.13	0.84

Incidence graph

Density: 0.71%
MCB compute time (ms): 1,051
MCB cycles: 414
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-40-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 1,852 MAX VALUE 465.95 5.02 1.39 0.56

Eccentricity 5 6 5.90 6.00 3,028 MAX VALUE 910.06 0.30 0.05 0.32

MCB cycle size 6 6 6.00 6.00 2,484 MAX VALUE 741.79 0.00 0.00 0.00

XCSP 2.1 Benchmarks