XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-46-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 16.68 17.00 354,492 MAX VALUE 59,429.80 2.89 0.17 2.41

Relational linkage 0.09 0.74 0.45 0.43 516.87 0.00 -947.21 0.09 0.21 2.16

Tightness 0.23 0.66 0.27 0.23 126.94 0.00 -615.73 0.09 0.32 1.24

Tuples 179 408 383.65 408.00 177,246 MAX VALUE 2,744.63 47.07 0.12 1.24

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

Value table constraints 12 25 18.48 19.00 924 MAX VALUE 145.14 2.99 0.16 2.42

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	16.68	17.00	354,492	MAX VALUE	59,429.80	2.89	0.17	2.41
Relational linkage	0.09	0.74	0.45	0.43	516.87	0.00	-947.21	0.09	0.21	2.16
Tightness	0.23	0.66	0.27	0.23	126.94	0.00	-615.73	0.09	0.32	1.24
Tuples	179	408	383.65	408.00	177,246	MAX VALUE	2,744.63	47.07	0.12	1.24
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	12	25	18.48	19.00	924	MAX VALUE	145.14	2.99	0.16	2.42
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: 14
Number of leaves: 7
Tree depth: 3
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Tree1.json

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

Cluster constraints 40 258 115.07 90.50 1,611 3.68e+27 63.47 73.68 0.64 2.64

Variables per cluster 13 37 22.50 20.50 315 3.29e+18 42.64 8.27 0.37 2.34

Separator constraints 0 219 82.07 46.50 1,149 0 None 64.03 0.78 2.64

Separator variables 0 34 18.93 16.00 265 0 None 8.93 0.47 2.34

Clusters per var 1 11 6.30 7.00 315 2.37e+35 81.45 3.01 0.48 2.11

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	40	258	115.07	90.50	1,611	3.68e+27	63.47	73.68	0.64	2.64
Variables per cluster	13	37	22.50	20.50	315	3.29e+18	42.64	8.27	0.37	2.34
Separator constraints	0	219	82.07	46.50	1,149	0	None	64.03	0.78	2.64
Separator variables	0	34	18.93	16.00	265	0	None	8.93	0.47	2.34
Clusters per var	1	11	6.30	7.00	315	2.37e+35	81.45	3.01	0.48	2.11

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.08
Independent Cluster Pairs: 83
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/DualTree1.json

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

Cluster constraints 160 2,601 672.27 441.00 32,269 MAX VALUE 300.39 551.40 0.82 3.87

Variables per cluster 25 260 70.73 45.50 3,395 MAX VALUE 194.22 54.05 0.76 3.53

Separator constraints 0 1,443 499.38 390.50 23,970 0 None 326.78 0.65 3.87

Separator variables 0 185 61.10 43.00 2,933 0 None 41.03 0.67 3.53

Clusters per variable 1 10 7.35 9.00 3,395 MAX VALUE 872.71 2.45 0.33 1.58

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	160	2,601	672.27	441.00	32,269	MAX VALUE	300.39	551.40	0.82	3.87
Variables per cluster	25	260	70.73	45.50	3,395	MAX VALUE	194.22	54.05	0.76	3.53
Separator constraints	0	1,443	499.38	390.50	23,970	0	None	326.78	0.65	3.87
Separator variables	0	185	61.10	43.00	2,933	0	None	41.03	0.67	3.53
Clusters per variable	1	10	7.35	9.00	3,395	MAX VALUE	872.71	2.45	0.33	1.58

Primal graph

Density: 37.71%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,058
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Primal1.json

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

Clustering coefficient 0.30 0.48 0.38 0.38 19.20 0.00 -48.08 0.04 0.09 3.58

Degree 12 25 18.48 19.00 924 MAX VALUE 145.14 2.99 0.16 2.42

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	0.30	0.48	0.38	0.38	19.20	0.00	-48.08	0.04	0.09	3.58
Degree	12	25	18.48	19.00	924	MAX VALUE	145.14	2.99	0.16	2.42
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: 76.00%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,704

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

Clustering coefficient 0.79 1.00 0.90 0.89 45.04 0.00 -5.31 0.05 0.06 3.52

Degree 12 46 37.24 42.00 1,862 MAX VALUE 177.71 10.53 0.28 2.42

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	45.04	0.00	-5.31	0.05	0.06	3.52
Degree	12	46	37.24	42.00	1,862	MAX VALUE	177.71	10.53	0.28	2.42
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: 7.79%
MCB compute time (ms): 16,946
MCB cycles: 10,438
Triangles: 49,261
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Dual1.json

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

Clustering coefficient 0.49 0.57 0.50 0.50 232.81 0.00 -316.74 0.01 0.02 4.95

Degree 24 46 35.93 36.00 16,598 MAX VALUE 1,651.72 3.98 0.11 2.77

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 31,968 MAX VALUE 11,655.50 0.24 0.08 0.23

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.57	0.50	0.50	232.81	0.00	-316.74	0.01	0.02	4.95
Degree	24	46	35.93	36.00	16,598	MAX VALUE	1,651.72	3.98	0.11	2.77
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	31,968	MAX VALUE	11,655.50	0.24	0.08	0.23

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,394
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 603.15 0.87 0.23 1.19

Eccentricity 7 9 8.12 8.00 3,750 MAX VALUE 966.04 0.62 0.08 0.93

MCB cycle size 3 10 6.80 7.00 2,809 MAX VALUE 784.23 1.24 0.18 1.62

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	603.15	0.87	0.23	1.19
Eccentricity	7	9	8.12	8.00	3,750	MAX VALUE	966.04	0.62	0.08	0.93
MCB cycle size	3	10	6.80	7.00	2,809	MAX VALUE	784.23	1.24	0.18	1.62

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: 9.72%

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

Clustering coefficient 0.56 1.00 0.83 0.80 384.50 0.00 -91.00 0.14 0.16 3.83

Degree 2 152 44.81 9.00 20,700 MAX VALUE 1,251.87 57.32 1.28 3.46

Eccentricity 3 5 3.77 4.00 1,741 MAX VALUE 608.20 0.53 0.14 0.78

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.56	1.00	0.83	0.80	384.50	0.00	-91.00	0.14	0.16	3.83
Degree	2	152	44.81	9.00	20,700	MAX VALUE	1,251.87	57.32	1.28	3.46
Eccentricity	3	5	3.77	4.00	1,741	MAX VALUE	608.20	0.53	0.14	0.78

Incidence graph

Density: 0.71%
MCB compute time (ms): 1,165
MCB cycles: 413
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-46-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 465.37 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