XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-38-ext
Number of variables: 50
Number of constraints: 462
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: 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 2 23 16.67 17.00 354,184 MAX VALUE 59,424.10 2.86 0.17 2.41

Relational linkage 0.09 0.70 0.46 0.48 529.26 0.00 -918.38 0.09 0.20 2.15

Tightness 0.23 0.64 0.28 0.23 127.23 0.00 -613.95 0.09 0.31 1.28

Tuples 192 408 383.32 408.00 177,092 MAX VALUE 2,744.53 45.72 0.12 1.28

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

Value table constraints 9 25 18.48 18.50 924 MAX VALUE 144.81 3.56 0.19 2.58

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	2	23	16.67	17.00	354,184	MAX VALUE	59,424.10	2.86	0.17	2.41
Relational linkage	0.09	0.70	0.46	0.48	529.26	0.00	-918.38	0.09	0.20	2.15
Tightness	0.23	0.64	0.28	0.23	127.23	0.00	-613.95	0.09	0.31	1.28
Tuples	192	408	383.32	408.00	177,092	MAX VALUE	2,744.53	45.72	0.12	1.28
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	9	25	18.48	18.50	924	MAX VALUE	144.81	3.56	0.19	2.58
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: 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-2-50-23-587-230-38-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/Tree1.json

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

Cluster constraints 20 247 107.38 80.50 1,718 5.25e+30 70.74 72.68 0.68 2.77

Variables per cluster 10 35 21.44 19.50 343 6.37e+20 47.90 7.93 0.37 2.77

Separator constraints 0 221 78.50 56.50 1,256 0 None 65.72 0.84 2.77

Separator variables 0 33 18.31 17.50 293 0 None 8.54 0.47 2.77

Clusters per var 1 13 6.86 7.50 343 7.54e+35 82.61 3.76 0.55 2.37

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	20	247	107.38	80.50	1,718	5.25e+30	70.74	72.68	0.68	2.77
Variables per cluster	10	35	21.44	19.50	343	6.37e+20	47.90	7.93	0.37	2.77
Separator constraints	0	221	78.50	56.50	1,256	0	None	65.72	0.84	2.77
Separator variables	0	33	18.31	17.50	293	0	None	8.54	0.47	2.77
Clusters per var	1	13	6.86	7.50	343	7.54e+35	82.61	3.76	0.55	2.37

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 81
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/DualTree1.json

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

Cluster constraints 144 2,826 693.48 447.50 33,287 MAX VALUE 300.45 612.93 0.88 3.84

Variables per cluster 23 261 72.08 47.50 3,460 MAX VALUE 194.40 57.49 0.80 3.63

Separator constraints 0 1,599 518.62 382.00 24,894 0 None 364.90 0.70 3.84

Separator variables 0 204 62.46 45.00 2,998 0 None 44.10 0.71 3.60

Clusters per variable 1 11 7.49 8.00 3,460 MAX VALUE 882.22 2.47 0.33 1.99

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	144	2,826	693.48	447.50	33,287	MAX VALUE	300.45	612.93	0.88	3.84
Variables per cluster	23	261	72.08	47.50	3,460	MAX VALUE	194.40	57.49	0.80	3.63
Separator constraints	0	1,599	518.62	382.00	24,894	0	None	364.90	0.70	3.84
Separator variables	0	204	62.46	45.00	2,998	0	None	44.10	0.71	3.60
Clusters per variable	1	11	7.49	8.00	3,460	MAX VALUE	882.22	2.47	0.33	1.99

Primal graph

Density: 37.71%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,034
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/Primal1.json

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

Clustering coefficient 0.29 0.46 0.37 0.37 18.56 0.00 -49.82 0.04 0.10 3.59

Degree 9 25 18.48 18.50 924 MAX VALUE 144.81 3.56 0.19 2.58

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	0.46	0.37	0.37	18.56	0.00	-49.82	0.04	0.10	3.59
Degree	9	25	18.48	18.50	924	MAX VALUE	144.81	3.56	0.19	2.58
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: 72.49%
MCB compute time (ms): None
MCB cycles: None
Triangles: 9,665

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

Clustering coefficient 0.77 1.00 0.89 0.88 44.49 0.00 -5.98 0.07 0.08 3.46

Degree 9 46 35.52 40.50 1,776 MAX VALUE 174.71 11.05 0.31 2.89

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	0.88	44.49	0.00	-5.98	0.07	0.08	3.46
Degree	9	46	35.52	40.50	1,776	MAX VALUE	174.71	11.05	0.31	2.89
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: 7.88%
MCB compute time (ms): 18,525
MCB cycles: 9,891
Triangles: 50,852
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/Dual1.json

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

Clustering coefficient 0.49 0.62 0.51 0.50 234.10 0.00 -314.27 0.02 0.03 5.19

Degree 22 48 36.33 37.00 16,786 MAX VALUE 1,655.96 4.62 0.13 2.92

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

MCB cycle size 3 4 3.12 3.00 30,840 MAX VALUE 11,202.10 0.32 0.10 0.36

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.62	0.51	0.50	234.10	0.00	-314.27	0.02	0.03	5.19
Degree	22	48	36.33	37.00	16,786	MAX VALUE	1,655.96	4.62	0.13	2.92
Eccentricity	3	3	3.00	3.00	1,386	MAX VALUE	507.56	0.00	0.00	0.00
MCB cycle size	3	4	3.12	3.00	30,840	MAX VALUE	11,202.10	0.32	0.10	0.36

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,475
MCB cycles: 413

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 1,748 MAX VALUE 603.01 0.87 0.23 1.20

Eccentricity 7 9 7.99 8.00 3,691 MAX VALUE 958.76 0.60 0.08 0.90

MCB cycle size 4 10 6.78 7.00 2,802 MAX VALUE 783.28 1.23 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	1,748	MAX VALUE	603.01	0.87	0.23	1.20
Eccentricity	7	9	7.99	8.00	3,691	MAX VALUE	958.76	0.60	0.08	0.90
MCB cycle size	4	10	6.78	7.00	2,802	MAX VALUE	783.28	1.23	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: 10.11%

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

Clustering coefficient 0.54 1.00 0.84 0.81 387.86 0.00 -86.53 0.13 0.16 3.85

Degree 2 156 46.62 9.00 21,538 MAX VALUE 1,258.85 59.72 1.28 3.37

Eccentricity 3 5 3.73 4.00 1,725 MAX VALUE 604.05 0.51 0.14 0.75

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.54	1.00	0.84	0.81	387.86	0.00	-86.53	0.13	0.16	3.85
Degree	2	156	46.62	9.00	21,538	MAX VALUE	1,258.85	59.72	1.28	3.37
Eccentricity	3	5	3.73	4.00	1,725	MAX VALUE	604.05	0.51	0.14	0.75

Incidence graph

Density: 0.71%
MCB compute time (ms): 941
MCB cycles: 413
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-38-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 465.05 5.02 1.39 0.57

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

MCB cycle size 6 8 6.00 6.00 2,480 MAX VALUE 740.28 0.10 0.02 0.02

XCSP 2.1 Benchmarks