XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-21-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 2 23 16.84 17.00 369,498 MAX VALUE 61,587.70 2.83 0.17 2.39

Relational linkage 0.09 0.70 0.46 0.48 525.52 0.00 -932.92 0.10 0.22 2.23

Tightness 0.23 0.66 0.27 0.23 127.76 0.00 -646.10 0.08 0.32 1.09

Tuples 180 408 387.31 408.00 184,749 MAX VALUE 2,838.63 44.76 0.12 1.09

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

Value table constraints 11 28 19.08 20.00 954 MAX VALUE 146.58 3.42 0.18 2.51

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	2	23	16.84	17.00	369,498	MAX VALUE	61,587.70	2.83	0.17	2.39
Relational linkage	0.09	0.70	0.46	0.48	525.52	0.00	-932.92	0.10	0.22	2.23
Tightness	0.23	0.66	0.27	0.23	127.76	0.00	-646.10	0.08	0.32	1.09
Tuples	180	408	387.31	408.00	184,749	MAX VALUE	2,838.63	44.76	0.12	1.09
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	11	28	19.08	20.00	954	MAX VALUE	146.58	3.42	0.18	2.51
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: 8
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-2-50-23-587-230-21-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/Tree1.json

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

Cluster constraints 28 270 118.21 107.50 1,655 3.98e+27 63.55 77.64 0.66 2.54

Variables per cluster 12 37 22.71 22.00 318 3.99e+18 42.83 8.01 0.35 2.34

Separator constraints 0 240 84.14 66.00 1,178 0 None 67.93 0.81 2.54

Separator variables 0 34 19.14 18.50 268 0 None 8.76 0.46 2.34

Clusters per var 1 12 6.36 7.00 318 2.08e+35 81.32 3.07 0.48 2.06

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	28	270	118.21	107.50	1,655	3.98e+27	63.55	77.64	0.66	2.54
Variables per cluster	12	37	22.71	22.00	318	3.99e+18	42.83	8.01	0.35	2.34
Separator constraints	0	240	84.14	66.00	1,178	0	None	67.93	0.81	2.54
Separator variables	0	34	19.14	18.50	268	0	None	8.76	0.46	2.34
Clusters per var	1	12	6.36	7.00	318	2.08e+35	81.32	3.07	0.48	2.06

Dual tree decomposition

Number of clusters: 48
Number of leaves: 24
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 75
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/DualTree1.json

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

Cluster constraints 149 3,056 730.81 495.50 35,079 MAX VALUE 303.32 631.34 0.86 3.84

Variables per cluster 24 278 73.69 46.50 3,537 MAX VALUE 195.78 57.59 0.78 3.62

Separator constraints 0 1,547 545.04 420.00 26,162 0 None 375.64 0.69 3.84

Separator variables 0 192 63.75 44.50 3,060 0 None 43.95 0.69 3.49

Clusters per variable 1 11 7.42 8.00 3,537 MAX VALUE 906.22 2.46 0.33 1.96

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	149	3,056	730.81	495.50	35,079	MAX VALUE	303.32	631.34	0.86	3.84
Variables per cluster	24	278	73.69	46.50	3,537	MAX VALUE	195.78	57.59	0.78	3.62
Separator constraints	0	1,547	545.04	420.00	26,162	0	None	375.64	0.69	3.84
Separator variables	0	192	63.75	44.50	3,060	0	None	43.95	0.69	3.49
Clusters per variable	1	11	7.42	8.00	3,537	MAX VALUE	906.22	2.46	0.33	1.96

Primal graph

Density: 38.94%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,161
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/Primal1.json

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

Clustering coefficient 0.31 0.46 0.39 0.39 19.25 0.00 -47.91 0.03 0.09 3.72

Degree 11 28 19.08 20.00 954 MAX VALUE 146.58 3.42 0.18 2.51

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	0.31	0.46	0.39	0.39	19.25	0.00	-47.91	0.03	0.09	3.72
Degree	11	28	19.08	20.00	954	MAX VALUE	146.58	3.42	0.18	2.51
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: 76.24%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,738

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

Clustering coefficient 0.79 1.00 0.90 0.89 44.98 0.00 -5.38 0.06 0.06 3.47

Degree 11 47 37.36 42.00 1,868 MAX VALUE 177.97 10.44 0.28 2.41

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	44.98	0.00	-5.38	0.06	0.06	3.47
Degree	11	47	37.36	42.00	1,868	MAX VALUE	177.97	10.44	0.28	2.41
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: 7.85%
MCB compute time (ms): 26,104
MCB cycles: 9,115
Triangles: 55,521
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/Dual1.json

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

Clustering coefficient 0.49 0.57 0.50 0.50 240.63 0.00 -326.51 0.01 0.02 5.07

Degree 23 51 37.39 38.00 17,834 MAX VALUE 1,723.07 4.93 0.13 2.99

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

MCB cycle size 3 4 3.01 3.00 27,443 MAX VALUE 10,042.00 0.10 0.03 0.06

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.57	0.50	0.50	240.63	0.00	-326.51	0.01	0.02	5.07
Degree	23	51	37.39	38.00	17,834	MAX VALUE	1,723.07	4.93	0.13	2.99
Eccentricity	3	3	3.00	3.00	1,431	MAX VALUE	524.04	0.00	0.00	0.00
MCB cycle size	3	4	3.01	3.00	27,443	MAX VALUE	10,042.00	0.10	0.03	0.06

Minimal dual graph

Density: 0.80%
MCB compute time (ms): 3,025
MCB cycles: 428

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 1,808 MAX VALUE 622.53 0.91 0.24 1.24

Eccentricity 7 10 8.09 8.00 3,859 MAX VALUE 995.58 0.67 0.08 1.01

MCB cycle size 4 9 6.88 7.00 2,943 MAX VALUE 817.96 1.21 0.18 1.57

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	1,808	MAX VALUE	622.53	0.91	0.24	1.24
Eccentricity	7	10	8.09	8.00	3,859	MAX VALUE	995.58	0.67	0.08	1.01
MCB cycle size	4	9	6.88	7.00	2,943	MAX VALUE	817.96	1.21	0.18	1.57

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: 9.50%

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

Clustering coefficient 0.54 1.00 0.83 0.80 395.18 0.00 -96.14 0.13 0.16 3.84

Degree 2 158 45.22 9.00 21,572 MAX VALUE 1,291.18 58.31 1.29 3.53

Eccentricity 3 5 3.94 4.00 1,881 MAX VALUE 649.37 0.57 0.14 0.85

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.54	1.00	0.83	0.80	395.18	0.00	-96.14	0.13	0.16	3.84
Degree	2	158	45.22	9.00	21,572	MAX VALUE	1,291.18	58.31	1.29	3.53
Eccentricity	3	5	3.94	4.00	1,881	MAX VALUE	649.37	0.57	0.14	0.85

Incidence graph

Density: 0.69%
MCB compute time (ms): 1,189
MCB cycles: 428
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-21-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 1,908 MAX VALUE 477.21 5.12 1.41 0.55

Eccentricity 5 6 5.91 6.00 3,112 MAX VALUE 935.14 0.29 0.05 0.31

MCB cycle size 6 8 6.00 6.00 2,570 MAX VALUE 767.16 0.10 0.02 0.02

XCSP 2.1 Benchmarks