XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-7-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 3 23 16.71 17.00 357,500 MAX VALUE 59,871.20 2.86 0.17 2.41

Relational linkage 0.13 0.70 0.46 0.48 529.48 0.00 -918.78 0.09 0.20 2.17

Tightness 0.23 0.62 0.27 0.23 127.10 0.00 -621.48 0.09 0.32 1.23

Tuples 200 408 384.41 408.00 178,750 MAX VALUE 2,763.61 45.93 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 12 27 18.60 18.00 930 MAX VALUE 145.20 3.63 0.20 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	930	MAX VALUE	322.31	0.00	0.00	0.00
Coarse blocks size	3	23	16.71	17.00	357,500	MAX VALUE	59,871.20	2.86	0.17	2.41
Relational linkage	0.13	0.70	0.46	0.48	529.48	0.00	-918.78	0.09	0.20	2.17
Tightness	0.23	0.62	0.27	0.23	127.10	0.00	-621.48	0.09	0.32	1.23
Tuples	200	408	384.41	408.00	178,750	MAX VALUE	2,763.61	45.93	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	12	27	18.60	18.00	930	MAX VALUE	145.20	3.63	0.20	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: 7
Tree depth: 4
CIR: 0.01
Independent Cluster Pairs: 1
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Tree1.json

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

Cluster constraints 34 245 125.94 98.00 2,015 7.49e+31 73.39 82.28 0.65 2.69

Variables per cluster 13 35 23.38 22.50 374 2.47e+21 49.26 8.70 0.37 2.15

Separator constraints 0 231 96.88 62.50 1,550 0 None 79.53 0.82 2.77

Separator variables 0 34 20.25 18.00 324 0 None 9.70 0.48 2.27

Clusters per var 1 13 7.48 9.00 374 1.96e+38 88.17 3.80 0.51 2.37

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	34	245	125.94	98.00	2,015	7.49e+31	73.39	82.28	0.65	2.69
Variables per cluster	13	35	23.38	22.50	374	2.47e+21	49.26	8.70	0.37	2.15
Separator constraints	0	231	96.88	62.50	1,550	0	None	79.53	0.82	2.77
Separator variables	0	34	20.25	18.00	324	0	None	9.70	0.48	2.27
Clusters per var	1	13	7.48	9.00	374	1.96e+38	88.17	3.80	0.51	2.37

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.08
Independent Cluster Pairs: 91
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/DualTree1.json

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

Cluster constraints 160 2,584 686.25 479.00 32,940 MAX VALUE 300.67 572.14 0.83 3.87

Variables per cluster 25 251 71.40 48.50 3,427 MAX VALUE 194.40 55.06 0.77 3.56

Separator constraints 0 1,487 508.90 396.00 24,427 0 None 338.85 0.67 3.87

Separator variables 0 193 61.71 45.00 2,962 0 None 42.11 0.68 3.60

Clusters per variable 1 11 7.37 8.00 3,427 MAX VALUE 879.30 2.51 0.34 2.05

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	160	2,584	686.25	479.00	32,940	MAX VALUE	300.67	572.14	0.83	3.87
Variables per cluster	25	251	71.40	48.50	3,427	MAX VALUE	194.40	55.06	0.77	3.56
Separator constraints	0	1,487	508.90	396.00	24,427	0	None	338.85	0.67	3.87
Separator variables	0	193	61.71	45.00	2,962	0	None	42.11	0.68	3.60
Clusters per variable	1	11	7.37	8.00	3,427	MAX VALUE	879.30	2.51	0.34	2.05

Primal graph

Density: 37.96%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,095
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Primal1.json

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

Clustering coefficient 0.32 0.48 0.39 0.38 19.29 0.00 -47.83 0.04 0.09 3.75

Degree 12 27 18.60 18.00 930 MAX VALUE 145.20 3.63 0.20 2.50

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	0.32	0.48	0.39	0.38	19.29	0.00	-47.83	0.04	0.09	3.75
Degree	12	27	18.60	18.00	930	MAX VALUE	145.20	3.63	0.20	2.50
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: 75.02%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,416

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

Clustering coefficient 0.79 1.00 0.90 0.89 44.88 0.00 -5.50 0.06 0.06 3.49

Degree 12 46 36.76 42.00 1,838 MAX VALUE 176.90 10.68 0.29 2.58

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	0.79	1.00	0.90	0.89	44.88	0.00	-5.50	0.06	0.06	3.49
Degree	12	46	36.76	42.00	1,838	MAX VALUE	176.90	10.68	0.29	2.58
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

Dual graph

Density: 7.89%
MCB compute time (ms): 104,701
MCB cycles: 8,163
Triangles: 52,271
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Dual1.json

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

Clustering coefficient 0.49 0.58 0.51 0.50 235.60 0.00 -316.29 0.01 0.03 5.26

Degree 24 51 36.62 37.00 17,026 MAX VALUE 1,669.51 5.16 0.14 3.03

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

MCB cycle size 3 4 3.00 3.00 24,509 MAX VALUE 8,973.73 0.05 0.02 0.02

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.58	0.51	0.50	235.60	0.00	-316.29	0.01	0.03	5.26
Degree	24	51	36.62	37.00	17,026	MAX VALUE	1,669.51	5.16	0.14	3.03
Eccentricity	3	3	3.00	3.00	1,395	MAX VALUE	510.86	0.00	0.00	0.00
MCB cycle size	3	4	3.00	3.00	24,509	MAX VALUE	8,973.73	0.05	0.02	0.02

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,560
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 606.32 0.90 0.24 1.20

Eccentricity 7 10 8.18 8.00 3,803 MAX VALUE 975.71 0.66 0.08 0.99

MCB cycle size 4 10 6.85 7.00 2,851 MAX VALUE 793.84 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	606.32	0.90	0.24	1.20
Eccentricity	7	10	8.18	8.00	3,803	MAX VALUE	975.71	0.66	0.08	0.99
MCB cycle size	4	10	6.85	7.00	2,851	MAX VALUE	793.84	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: 9.77%

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

Clustering coefficient 0.47 1.00 0.83 0.80 386.02 0.00 -92.88 0.14 0.16 3.82

Degree 2 158 45.32 9.00 21,072 MAX VALUE 1,257.85 58.16 1.28 3.47

Eccentricity 3 5 3.83 4.00 1,781 MAX VALUE 619.58 0.54 0.14 0.81

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.83	0.80	386.02	0.00	-92.88	0.14	0.16	3.82
Degree	2	158	45.32	9.00	21,072	MAX VALUE	1,257.85	58.16	1.28	3.47
Eccentricity	3	5	3.83	4.00	1,781	MAX VALUE	619.58	0.54	0.14	0.81

Incidence graph

Density: 0.70%
MCB compute time (ms): 1,028
MCB cycles: 416
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-7-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 3.61 2.00 1,860 MAX VALUE 467.51 5.04 1.40 0.56

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