XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-35-ext
Number of variables: 50
Number of constraints: 469
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: 469

General features

Coarse blocks: 21,574
Value tables: 50

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

Arity 2 2 2.00 2.00 938 MAX VALUE 325.09 0.00 0.00 0.00

Coarse blocks size 2 23 16.77 17.00 361,860 MAX VALUE 60,439.70 2.91 0.17 2.41

Relational linkage 0.09 0.74 0.45 0.48 519.78 0.00 -951.18 0.11 0.24 2.30

Tightness 0.23 0.73 0.27 0.23 126.98 0.00 -631.88 0.09 0.33 1.14

Tuples 143 408 385.78 408.00 180,930 MAX VALUE 2,788.56 47.53 0.12 1.14

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

Value table constraints 12 25 18.76 19.00 938 MAX VALUE 145.82 3.20 0.17 2.45

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	938	MAX VALUE	325.09	0.00	0.00	0.00
Coarse blocks size	2	23	16.77	17.00	361,860	MAX VALUE	60,439.70	2.91	0.17	2.41
Relational linkage	0.09	0.74	0.45	0.48	519.78	0.00	-951.18	0.11	0.24	2.30
Tightness	0.23	0.73	0.27	0.23	126.98	0.00	-631.88	0.09	0.33	1.14
Tuples	143	408	385.78	408.00	180,930	MAX VALUE	2,788.56	47.53	0.12	1.14
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	12	25	18.76	19.00	938	MAX VALUE	145.82	3.20	0.17	2.45
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: 15
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-2-50-23-587-230-35-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/Tree1.json

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

Cluster constraints 36 253 118.33 77.00 1,775 4.34e+29 68.24 75.55 0.64 2.71

Variables per cluster 13 36 23.00 19.00 345 1.01e+20 46.06 8.20 0.36 2.43

Separator constraints 0 224 87.07 57.00 1,306 0 None 69.82 0.80 2.71

Separator variables 0 34 19.67 18.00 295 0 None 9.10 0.46 2.43

Clusters per var 1 14 6.90 8.00 345 5.80e+36 84.65 3.45 0.50 2.24

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	36	253	118.33	77.00	1,775	4.34e+29	68.24	75.55	0.64	2.71
Variables per cluster	13	36	23.00	19.00	345	1.01e+20	46.06	8.20	0.36	2.43
Separator constraints	0	224	87.07	57.00	1,306	0	None	69.82	0.80	2.71
Separator variables	0	34	19.67	18.00	295	0	None	9.10	0.46	2.43
Clusters per var	1	14	6.90	8.00	345	5.80e+36	84.65	3.45	0.50	2.24

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 5
CIR: 0.06
Independent Cluster Pairs: 70
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/DualTree1.json

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

Cluster constraints 160 3,004 714.27 447.50 34,285 MAX VALUE 302.08 632.23 0.89 3.80

Variables per cluster 25 269 73.40 47.00 3,523 MAX VALUE 195.30 58.62 0.80 3.57

Separator constraints 0 1,603 535.40 399.00 25,699 0 None 375.66 0.70 3.80

Separator variables 0 204 63.62 44.00 3,054 0 None 44.94 0.71 3.63

Clusters per variable 1 11 7.51 8.00 3,523 MAX VALUE 897.45 2.45 0.33 1.94

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	160	3,004	714.27	447.50	34,285	MAX VALUE	302.08	632.23	0.89	3.80
Variables per cluster	25	269	73.40	47.00	3,523	MAX VALUE	195.30	58.62	0.80	3.57
Separator constraints	0	1,603	535.40	399.00	25,699	0	None	375.66	0.70	3.80
Separator variables	0	204	63.62	44.00	3,054	0	None	44.94	0.71	3.63
Clusters per variable	1	11	7.51	8.00	3,523	MAX VALUE	897.45	2.45	0.33	1.94

Primal graph

Density: 38.29%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,051
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/Primal1.json

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

Clustering coefficient 0.28 0.43 0.37 0.37 18.28 0.00 -50.47 0.03 0.08 3.63

Degree 12 25 18.76 19.00 938 MAX VALUE 145.82 3.20 0.17 2.45

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	0.28	0.43	0.37	0.37	18.28	0.00	-50.47	0.03	0.08	3.63
Degree	12	25	18.76	19.00	938	MAX VALUE	145.82	3.20	0.17	2.45
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: 75.51%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,514

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

Clustering coefficient 0.77 1.00 0.90 0.89 44.86 0.00 -5.52 0.06 0.06 3.47

Degree 12 48 37.00 42.00 1,850 MAX VALUE 177.40 10.54 0.28 2.59

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	0.90	0.89	44.86	0.00	-5.52	0.06	0.06	3.47
Degree	12	48	37.00	42.00	1,850	MAX VALUE	177.40	10.54	0.28	2.59
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: 7.82%
MCB compute time (ms): 31,683
MCB cycles: 9,142
Triangles: 52,109
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/Dual1.json

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

Clustering coefficient 0.49 0.57 0.50 0.50 236.37 0.00 -321.46 0.01 0.02 5.07

Degree 24 47 36.61 37.00 17,172 MAX VALUE 1,685.12 4.38 0.12 2.87

Eccentricity 3 3 3.00 3.00 1,407 MAX VALUE 515.25 0.00 0.00 0.00

MCB cycle size 3 4 3.04 3.00 27,768 MAX VALUE 10,141.90 0.19 0.06 0.16

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.57	0.50	0.50	236.37	0.00	-321.46	0.01	0.02	5.07
Degree	24	47	36.61	37.00	17,172	MAX VALUE	1,685.12	4.38	0.12	2.87
Eccentricity	3	3	3.00	3.00	1,407	MAX VALUE	515.25	0.00	0.00	0.00
MCB cycle size	3	4	3.04	3.00	27,768	MAX VALUE	10,141.90	0.19	0.06	0.16

Minimal dual graph

Density: 0.81%
MCB compute time (ms): 2,594
MCB cycles: 420

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 7 3.79 4.00 1,776 MAX VALUE 612.74 0.88 0.23 1.17

Eccentricity 7 9 7.91 8.00 3,709 MAX VALUE 968.56 0.59 0.07 0.88

MCB cycle size 4 10 6.91 7.00 2,904 MAX VALUE 805.68 1.15 0.17 1.52

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	7	3.79	4.00	1,776	MAX VALUE	612.74	0.88	0.23	1.17
Eccentricity	7	9	7.91	8.00	3,709	MAX VALUE	968.56	0.59	0.07	0.88
MCB cycle size	4	10	6.91	7.00	2,904	MAX VALUE	805.68	1.15	0.17	1.52

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: 9.76%

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

Clustering coefficient 0.50 1.00 0.84 0.80 391.68 0.00 -90.61 0.13 0.16 3.83

Degree 2 153 45.68 9.00 21,426 MAX VALUE 1,274.40 58.55 1.28 3.42

Eccentricity 3 5 3.75 4.00 1,757 MAX VALUE 614.84 0.51 0.14 0.75

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.50	1.00	0.84	0.80	391.68	0.00	-90.61	0.13	0.16	3.83
Degree	2	153	45.68	9.00	21,426	MAX VALUE	1,274.40	58.55	1.28	3.42
Eccentricity	3	5	3.75	4.00	1,757	MAX VALUE	614.84	0.51	0.14	0.75

Incidence graph

Density: 0.70%
MCB compute time (ms): 1,117
MCB cycles: 420
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-35-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 1,876 MAX VALUE 470.90 5.04 1.40 0.55

Eccentricity 5 6 5.90 6.00 3,064 MAX VALUE 920.81 0.30 0.05 0.32

MCB cycle size 6 6 6.00 6.00 2,520 MAX VALUE 752.54 0.00 0.00 0.00

XCSP 2.1 Benchmarks