XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-44-ext
Number of variables: 50
Number of constraints: 477
Satisfiable: True
Timestamp: 2025-07-27 21:34:17
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 50
Number of constraints: 477

General features

Coarse blocks: 21,942
Value tables: 50

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

Arity 2 2 2.00 2.00 954 MAX VALUE 330.63 0.00 0.00 0.00

Coarse blocks size 3 23 16.82 17.00 369,170 MAX VALUE 61,598.40 2.75 0.16 2.38

Relational linkage 0.13 0.70 0.47 0.48 541.13 0.00 -891.28 0.09 0.19 2.14

Tightness 0.23 0.64 0.27 0.23 128.07 0.00 -643.76 0.08 0.30 1.11

Tuples 190 408 386.97 408.00 184,585 MAX VALUE 2,838.81 42.21 0.11 1.11

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

Value table constraints 13 27 19.08 19.00 954 MAX VALUE 146.77 3.09 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	954	MAX VALUE	330.63	0.00	0.00	0.00
Coarse blocks size	3	23	16.82	17.00	369,170	MAX VALUE	61,598.40	2.75	0.16	2.38
Relational linkage	0.13	0.70	0.47	0.48	541.13	0.00	-891.28	0.09	0.19	2.14
Tightness	0.23	0.64	0.27	0.23	128.07	0.00	-643.76	0.08	0.30	1.11
Tuples	190	408	386.97	408.00	184,585	MAX VALUE	2,838.81	42.21	0.11	1.11
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	13	27	19.08	19.00	954	MAX VALUE	146.77	3.09	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: 13
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-2-50-23-587-230-44-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/Tree1.json

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

Cluster constraints 39 287 125.69 81.00 1,634 1.06e+26 59.93 84.13 0.67 2.56

Variables per cluster 14 38 23.38 21.00 304 2.86e+17 40.19 8.28 0.35 2.25

Separator constraints 0 243 89.00 60.00 1,157 0 None 73.77 0.83 2.56

Separator variables 0 35 19.54 17.00 254 0 None 9.09 0.47 2.25

Clusters per var 1 11 6.08 7.00 304 8.05e+34 80.37 2.85 0.47 2.04

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	39	287	125.69	81.00	1,634	1.06e+26	59.93	84.13	0.67	2.56
Variables per cluster	14	38	23.38	21.00	304	2.86e+17	40.19	8.28	0.35	2.25
Separator constraints	0	243	89.00	60.00	1,157	0	None	73.77	0.83	2.56
Separator variables	0	35	19.54	17.00	254	0	None	9.09	0.47	2.25
Clusters per var	1	11	6.08	7.00	304	8.05e+34	80.37	2.85	0.47	2.04

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.06
Independent Cluster Pairs: 65
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/DualTree1.json

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

Cluster constraints 174 3,024 730.02 496.50 35,041 MAX VALUE 303.77 623.40 0.85 3.74

Variables per cluster 26 280 74.02 48.50 3,553 MAX VALUE 196.09 57.87 0.78 3.52

Separator constraints 0 1,582 545.38 430.00 26,178 0 None 368.54 0.68 3.74

Separator variables 0 197 64.08 45.00 3,076 0 None 44.08 0.69 3.55

Clusters per variable 1 10 7.45 9.00 3,553 MAX VALUE 909.10 2.44 0.33 1.73

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	174	3,024	730.02	496.50	35,041	MAX VALUE	303.77	623.40	0.85	3.74
Variables per cluster	26	280	74.02	48.50	3,553	MAX VALUE	196.09	57.87	0.78	3.52
Separator constraints	0	1,582	545.38	430.00	26,178	0	None	368.54	0.68	3.74
Separator variables	0	197	64.08	45.00	3,076	0	None	44.08	0.69	3.55
Clusters per variable	1	10	7.45	9.00	3,553	MAX VALUE	909.10	2.44	0.33	1.73

Primal graph

Density: 38.94%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,143
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/Primal1.json

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

Clustering coefficient 0.29 0.45 0.38 0.39 19.15 0.00 -48.21 0.04 0.10 3.77

Degree 13 27 19.08 19.00 954 MAX VALUE 146.77 3.09 0.16 2.42

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	0.29	0.45	0.38	0.39	19.15	0.00	-48.21	0.04	0.10	3.77
Degree	13	27	19.08	19.00	954	MAX VALUE	146.77	3.09	0.16	2.42
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: 78.12%
MCB compute time (ms): None
MCB cycles: None
Triangles: 11,327

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

Clustering coefficient 0.81 1.00 0.91 0.90 45.35 0.01 -4.97 0.05 0.06 3.53

Degree 13 47 38.28 43.00 1,914 MAX VALUE 179.53 10.17 0.27 2.35

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	0.81	1.00	0.91	0.90	45.35	0.01	-4.97	0.05	0.06	3.53
Degree	13	47	38.28	43.00	1,914	MAX VALUE	179.53	10.17	0.27	2.35
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: 7.81%
MCB compute time (ms): 24,441
MCB cycles: 10,483
Triangles: 54,608
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/Dual1.json

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

Clustering coefficient 0.49 0.56 0.50 0.50 240.16 0.00 -327.42 0.01 0.02 5.03

Degree 25 49 37.16 37.00 17,726 MAX VALUE 1,721.03 4.42 0.12 2.88

Eccentricity 3 3 3.00 3.00 1,431 MAX VALUE 524.04 0.00 0.00 0.00

MCB cycle size 3 4 3.07 3.00 32,230 MAX VALUE 11,741.40 0.26 0.09 0.27

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.56	0.50	0.50	240.16	0.00	-327.42	0.01	0.02	5.03
Degree	25	49	37.16	37.00	17,726	MAX VALUE	1,721.03	4.42	0.12	2.88
Eccentricity	3	3	3.00	3.00	1,431	MAX VALUE	524.04	0.00	0.00	0.00
MCB cycle size	3	4	3.07	3.00	32,230	MAX VALUE	11,741.40	0.26	0.09	0.27

Minimal dual graph

Density: 0.80%
MCB compute time (ms): 3,126
MCB cycles: 428

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

Clustering coefficient 0.00 0.10 0.00 0.00 0.47 0.00 None 0.01 9.04 0.08

Degree 2 6 3.79 4.00 1,808 MAX VALUE 623.58 0.86 0.23 1.20

Eccentricity 6 10 8.17 8.00 3,896 MAX VALUE 1,000.12 0.68 0.08 1.03

MCB cycle size 3 9 6.93 7.00 2,965 MAX VALUE 822.08 1.12 0.16 1.50

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.10	0.00	0.00	0.47	0.00	None	0.01	9.04	0.08
Degree	2	6	3.79	4.00	1,808	MAX VALUE	623.58	0.86	0.23	1.20
Eccentricity	6	10	8.17	8.00	3,896	MAX VALUE	1,000.12	0.68	0.08	1.03
MCB cycle size	3	9	6.93	7.00	2,965	MAX VALUE	822.08	1.12	0.16	1.50

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: 9.91%

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

Clustering coefficient 0.55 1.00 0.83 0.80 397.07 0.00 -93.80 0.13 0.16 3.86

Degree 2 162 47.15 9.00 22,490 MAX VALUE 1,303.61 60.32 1.28 3.51

Eccentricity 3 5 3.76 4.00 1,792 MAX VALUE 626.47 0.53 0.14 0.77

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.55	1.00	0.83	0.80	397.07	0.00	-93.80	0.13	0.16	3.86
Degree	2	162	47.15	9.00	22,490	MAX VALUE	1,303.61	60.32	1.28	3.51
Eccentricity	3	5	3.76	4.00	1,792	MAX VALUE	626.47	0.53	0.14	0.77

Incidence graph

Density: 0.69%
MCB compute time (ms): 1,119
MCB cycles: 428
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-44-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 27 3.62 2.00 1,908 MAX VALUE 477.40 5.09 1.41 0.54

Eccentricity 5 6 5.91 6.00 3,114 MAX VALUE 935.51 0.29 0.05 0.31

MCB cycle size 6 6 6.00 6.00 2,568 MAX VALUE 766.87 0.00 0.00 0.00

XCSP 2.1 Benchmarks