XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-19-ext
Number of variables: 50
Number of constraints: 479
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: 479

General features

Coarse blocks: 22,034
Value tables: 50

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

Arity 2 2 2.00 2.00 958 MAX VALUE 332.02 0.00 0.00 0.00

Coarse blocks size 3 23 16.87 17.00 371,708 MAX VALUE 61,904.50 2.78 0.17 2.38

Relational linkage 0.13 0.74 0.47 0.48 538.91 0.00 -900.08 0.10 0.21 2.23

Tightness 0.23 0.64 0.27 0.23 127.67 0.00 -650.35 0.08 0.31 1.07

Tuples 188 408 388.00 408.00 185,854 MAX VALUE 2,851.70 43.33 0.11 1.07

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

Value table constraints 14 29 19.16 19.00 958 MAX VALUE 146.97 3.18 0.17 2.37

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	958	MAX VALUE	332.02	0.00	0.00	0.00
Coarse blocks size	3	23	16.87	17.00	371,708	MAX VALUE	61,904.50	2.78	0.17	2.38
Relational linkage	0.13	0.74	0.47	0.48	538.91	0.00	-900.08	0.10	0.21	2.23
Tightness	0.23	0.64	0.27	0.23	127.67	0.00	-650.35	0.08	0.31	1.07
Tuples	188	408	388.00	408.00	185,854	MAX VALUE	2,851.70	43.33	0.11	1.07
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	14	29	19.16	19.00	958	MAX VALUE	146.97	3.18	0.17	2.37
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-2-50-23-587-230-19-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/Tree1.json

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

Cluster constraints 50 257 134.27 107.00 2,014 7.13e+30 71.04 75.04 0.56 2.71

Variables per cluster 15 36 24.40 22.00 366 2.90e+20 47.12 7.93 0.33 2.27

Separator constraints 0 223 102.33 76.00 1,535 0 None 72.70 0.71 2.71

Separator variables 0 34 21.07 20.00 316 0 None 9.22 0.44 2.27

Clusters per var 1 14 7.32 8.50 366 1.33e+38 87.78 3.57 0.49 2.22

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	50	257	134.27	107.00	2,014	7.13e+30	71.04	75.04	0.56	2.71
Variables per cluster	15	36	24.40	22.00	366	2.90e+20	47.12	7.93	0.33	2.27
Separator constraints	0	223	102.33	76.00	1,535	0	None	72.70	0.71	2.71
Separator variables	0	34	21.07	20.00	316	0	None	9.22	0.44	2.27
Clusters per var	1	14	7.32	8.50	366	1.33e+38	87.78	3.57	0.49	2.22

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.06
Independent Cluster Pairs: 69
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/DualTree1.json

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

Cluster constraints 183 2,917 726.75 498.00 34,884 MAX VALUE 303.93 606.48 0.83 3.84

Variables per cluster 27 261 73.69 49.50 3,537 MAX VALUE 196.10 56.73 0.77 3.49

Separator constraints 0 1,611 540.27 411.00 25,933 0 None 358.20 0.66 3.84

Separator variables 0 203 63.71 45.50 3,058 0 None 43.21 0.68 3.55

Clusters per variable 1 10 7.38 8.00 3,537 MAX VALUE 907.65 2.47 0.34 1.92

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	183	2,917	726.75	498.00	34,884	MAX VALUE	303.93	606.48	0.83	3.84
Variables per cluster	27	261	73.69	49.50	3,537	MAX VALUE	196.10	56.73	0.77	3.49
Separator constraints	0	1,611	540.27	411.00	25,933	0	None	358.20	0.66	3.84
Separator variables	0	203	63.71	45.50	3,058	0	None	43.21	0.68	3.55
Clusters per variable	1	10	7.38	8.00	3,537	MAX VALUE	907.65	2.47	0.34	1.92

Primal graph

Density: 39.10%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,174
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/Primal1.json

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

Clustering coefficient 0.33 0.50 0.39 0.40 19.71 0.00 -46.76 0.04 0.09 3.75

Degree 14 29 19.16 19.00 958 MAX VALUE 146.97 3.18 0.17 2.37

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	0.33	0.50	0.39	0.40	19.71	0.00	-46.76	0.04	0.09	3.75
Degree	14	29	19.16	19.00	958	MAX VALUE	146.97	3.18	0.17	2.37
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: 77.22%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,948

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

Clustering coefficient 0.78 1.00 0.90 0.89 44.98 0.00 -5.38 0.06 0.06 3.56

Degree 14 48 37.84 42.50 1,892 MAX VALUE 179.02 10.07 0.27 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	0.78	1.00	0.90	0.89	44.98	0.00	-5.38	0.06	0.06	3.56
Degree	14	48	37.84	42.50	1,892	MAX VALUE	179.02	10.07	0.27	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

Dual graph

Density: 7.82%
MCB compute time (ms): 64,819
MCB cycles: 9,729
Triangles: 55,665
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/Dual1.json

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

Clustering coefficient 0.48 0.56 0.50 0.50 241.58 0.00 -327.98 0.01 0.02 5.10

Degree 26 52 37.37 37.00 17,902 MAX VALUE 1,730.81 4.63 0.12 2.91

Eccentricity 3 3 3.00 3.00 1,437 MAX VALUE 526.24 0.00 0.00 0.00

MCB cycle size 3 4 3.04 3.00 29,595 MAX VALUE 10,805.80 0.20 0.07 0.17

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	0.56	0.50	0.50	241.58	0.00	-327.98	0.01	0.02	5.10
Degree	26	52	37.37	37.00	17,902	MAX VALUE	1,730.81	4.63	0.12	2.91
Eccentricity	3	3	3.00	3.00	1,437	MAX VALUE	526.24	0.00	0.00	0.00
MCB cycle size	3	4	3.04	3.00	29,595	MAX VALUE	10,805.80	0.20	0.07	0.17

Minimal dual graph

Density: 0.79%
MCB compute time (ms): 3,734
MCB cycles: 430

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 3.79 4.00 1,816 MAX VALUE 626.08 0.88 0.23 1.20

Eccentricity 7 10 8.01 8.00 3,838 MAX VALUE 995.41 0.61 0.08 0.92

MCB cycle size 4 10 6.87 7.00 2,955 MAX VALUE 821.43 1.22 0.18 1.59

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	3.79	4.00	1,816	MAX VALUE	626.08	0.88	0.23	1.20
Eccentricity	7	10	8.01	8.00	3,838	MAX VALUE	995.41	0.61	0.08	0.92
MCB cycle size	4	10	6.87	7.00	2,955	MAX VALUE	821.43	1.22	0.18	1.59

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: 10.10%

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

Clustering coefficient 0.52 1.00 0.84 0.81 402.68 0.00 -89.39 0.13 0.16 3.83

Degree 2 160 48.25 9.00 23,114 MAX VALUE 1,312.80 61.72 1.28 3.39

Eccentricity 3 5 3.80 4.00 1,822 MAX VALUE 634.80 0.55 0.14 0.81

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.52	1.00	0.84	0.81	402.68	0.00	-89.39	0.13	0.16	3.83
Degree	2	160	48.25	9.00	23,114	MAX VALUE	1,312.80	61.72	1.28	3.39
Eccentricity	3	5	3.80	4.00	1,822	MAX VALUE	634.80	0.55	0.14	0.81

Incidence graph

Density: 0.69%
MCB compute time (ms): 1,184
MCB cycles: 430
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-19-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 29 3.62 2.00 1,916 MAX VALUE 478.99 5.11 1.41 0.54

Eccentricity 5 6 5.91 6.00 3,126 MAX VALUE 939.09 0.29 0.05 0.30

MCB cycle size 6 6 6.00 6.00 2,580 MAX VALUE 770.46 0.00 0.00 0.00

XCSP 2.1 Benchmarks