XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-27-ext
Number of variables: 50
Number of constraints: 470
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: 470

General features

Coarse blocks: 21,620
Value tables: 50

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

Arity 2 2 2.00 2.00 940 MAX VALUE 325.78 0.00 0.00 0.00

Coarse blocks size 1 23 16.77 17.00 362,668 MAX VALUE 60,594.60 2.85 0.17 2.40

Relational linkage 0.04 0.70 0.45 0.48 521.74 0.00 -939.16 0.10 0.21 2.20

Tightness 0.23 0.65 0.27 0.23 127.21 0.00 -632.13 0.09 0.32 1.15

Tuples 183 408 385.82 408.00 181,334 MAX VALUE 2,795.13 45.19 0.12 1.15

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

Value table constraints 12 28 18.80 19.00 940 MAX VALUE 145.85 3.46 0.18 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	940	MAX VALUE	325.78	0.00	0.00	0.00
Coarse blocks size	1	23	16.77	17.00	362,668	MAX VALUE	60,594.60	2.85	0.17	2.40
Relational linkage	0.04	0.70	0.45	0.48	521.74	0.00	-939.16	0.10	0.21	2.20
Tightness	0.23	0.65	0.27	0.23	127.21	0.00	-632.13	0.09	0.32	1.15
Tuples	183	408	385.82	408.00	181,334	MAX VALUE	2,795.13	45.19	0.12	1.15
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	12	28	18.80	19.00	940	MAX VALUE	145.85	3.46	0.18	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: 15
Number of leaves: 7
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-2-50-23-587-230-27-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/Tree1.json

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

Cluster constraints 37 257 122.87 93.00 1,843 1.35e+30 69.38 73.14 0.60 2.71

Variables per cluster 13 36 23.00 20.00 345 1.14e+20 46.18 7.71 0.34 2.52

Separator constraints 0 231 91.53 67.00 1,373 0 None 67.60 0.74 2.71

Separator variables 0 34 19.67 19.00 295 0 None 8.66 0.44 2.52

Clusters per var 1 14 6.90 7.00 345 7.53e+36 84.91 3.58 0.52 2.32

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	37	257	122.87	93.00	1,843	1.35e+30	69.38	73.14	0.60	2.71
Variables per cluster	13	36	23.00	20.00	345	1.14e+20	46.18	7.71	0.34	2.52
Separator constraints	0	231	91.53	67.00	1,373	0	None	67.60	0.74	2.71
Separator variables	0	34	19.67	19.00	295	0	None	8.66	0.44	2.52
Clusters per var	1	14	6.90	7.00	345	7.53e+36	84.91	3.58	0.52	2.32

Dual tree decomposition

Number of clusters: 48
Number of leaves: 22
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 76
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/DualTree1.json

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

Cluster constraints 162 3,084 720.83 477.00 34,600 MAX VALUE 302.42 637.66 0.88 3.87

Variables per cluster 25 280 73.38 48.50 3,522 MAX VALUE 195.31 58.39 0.80 3.70

Separator constraints 0 1,635 540.29 415.00 25,934 0 None 381.00 0.71 3.84

Separator variables 0 197 63.58 45.00 3,052 0 None 44.65 0.70 3.70

Clusters per variable 1 10 7.49 9.00 3,522 MAX VALUE 898.40 2.44 0.33 1.81

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	162	3,084	720.83	477.00	34,600	MAX VALUE	302.42	637.66	0.88	3.87
Variables per cluster	25	280	73.38	48.50	3,522	MAX VALUE	195.31	58.39	0.80	3.70
Separator constraints	0	1,635	540.29	415.00	25,934	0	None	381.00	0.71	3.84
Separator variables	0	197	63.58	45.00	3,052	0	None	44.65	0.70	3.70
Clusters per variable	1	10	7.49	9.00	3,522	MAX VALUE	898.40	2.44	0.33	1.81

Primal graph

Density: 38.37%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,112
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/Primal1.json

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

Clustering coefficient 0.30 0.47 0.39 0.39 19.57 0.00 -47.15 0.04 0.10 3.75

Degree 12 28 18.80 19.00 940 MAX VALUE 145.85 3.46 0.18 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	0.30	0.47	0.39	0.39	19.57	0.00	-47.15	0.04	0.10	3.75
Degree	12	28	18.80	19.00	940	MAX VALUE	145.85	3.46	0.18	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: 75.51%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,456

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

Clustering coefficient 0.76 1.00 0.90 0.89 44.76 0.00 -5.65 0.06 0.07 3.56

Degree 12 48 37.00 41.00 1,850 MAX VALUE 177.56 10.42 0.28 2.69

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	0.76	1.00	0.90	0.89	44.76	0.00	-5.65	0.06	0.07	3.56
Degree	12	48	37.00	41.00	1,850	MAX VALUE	177.56	10.42	0.28	2.69
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: 7.86%
MCB compute time (ms): 60,887
MCB cycles: 8,844
Triangles: 53,443
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/Dual1.json

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

Clustering coefficient 0.49 0.59 0.51 0.50 238.31 0.00 -319.37 0.01 0.03 5.25

Degree 24 53 36.88 37.00 17,332 MAX VALUE 1,691.86 4.60 0.12 2.92

Eccentricity 3 3 3.00 3.00 1,410 MAX VALUE 516.35 0.00 0.00 0.00

MCB cycle size 3 4 3.02 3.00 26,747 MAX VALUE 9,777.98 0.15 0.05 0.11

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.59	0.51	0.50	238.31	0.00	-319.37	0.01	0.03	5.25
Degree	24	53	36.88	37.00	17,332	MAX VALUE	1,691.86	4.60	0.12	2.92
Eccentricity	3	3	3.00	3.00	1,410	MAX VALUE	516.35	0.00	0.00	0.00
MCB cycle size	3	4	3.02	3.00	26,747	MAX VALUE	9,777.98	0.15	0.05	0.11

Minimal dual graph

Density: 0.81%
MCB compute time (ms): 2,415
MCB cycles: 421

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

Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.02 12.97 0.04

Degree 2 6 3.79 4.00 1,780 MAX VALUE 613.57 0.89 0.23 1.22

Eccentricity 7 10 8.20 8.00 3,852 MAX VALUE 987.25 0.64 0.08 0.96

MCB cycle size 3 10 6.90 7.00 2,905 MAX VALUE 806.31 1.18 0.17 1.55

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.00	0.00	0.83	0.00	None	0.02	12.97	0.04
Degree	2	6	3.79	4.00	1,780	MAX VALUE	613.57	0.89	0.23	1.22
Eccentricity	7	10	8.20	8.00	3,852	MAX VALUE	987.25	0.64	0.08	0.96
MCB cycle size	3	10	6.90	7.00	2,905	MAX VALUE	806.31	1.18	0.17	1.55

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: 9.19%

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

Clustering coefficient 0.53 1.00 0.83 0.80 390.42 0.00 -93.93 0.14 0.17 3.79

Degree 2 153 43.11 7.00 20,262 MAX VALUE 1,254.65 56.00 1.30 3.50

Eccentricity 3 5 4.05 4.00 1,902 MAX VALUE 652.21 0.57 0.14 0.86

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.53	1.00	0.83	0.80	390.42	0.00	-93.93	0.14	0.17	3.79
Degree	2	153	43.11	7.00	20,262	MAX VALUE	1,254.65	56.00	1.30	3.50
Eccentricity	3	5	4.05	4.00	1,902	MAX VALUE	652.21	0.57	0.14	0.86

Incidence graph

Density: 0.70%
MCB compute time (ms): 1,063
MCB cycles: 421
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-27-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 28 3.62 2.00 1,880 MAX VALUE 471.63 5.07 1.40 0.56

Eccentricity 5 6 5.90 6.00 3,070 MAX VALUE 922.60 0.29 0.05 0.32

MCB cycle size 6 6 6.00 6.00 2,526 MAX VALUE 754.33 0.00 0.00 0.00

XCSP 2.1 Benchmarks