XCSP 2.1 Benchmark Database

Instance: normalized-frb50-23-2-ext
Number of variables: 50
Number of constraints: 445
Satisfiable: True
Timestamp: 2025-07-27 21:34:24
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 50
Number of constraints: 445

General features

Coarse blocks: 20,470
Value tables: 50

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

Arity 2 2 2.00 2.00 890 MAX VALUE 308.45 0.00 0.00 0.00

Coarse blocks size 4 23 16.32 17.00 334,008 MAX VALUE 56,795.90 2.83 0.17 2.41

Relational linkage 0.17 0.70 0.45 0.43 515.57 0.00 -949.29 0.09 0.20 2.16

Tightness 0.25 0.60 0.29 0.25 129.30 0.00 -564.39 0.08 0.29 1.12

Tuples 212 397 375.29 397.00 167,004 MAX VALUE 2,634.21 44.02 0.12 1.12

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

Value table constraints 10 27 17.80 18.00 890 MAX VALUE 143.13 3.19 0.18 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	890	MAX VALUE	308.45	0.00	0.00	0.00
Coarse blocks size	4	23	16.32	17.00	334,008	MAX VALUE	56,795.90	2.83	0.17	2.41
Relational linkage	0.17	0.70	0.45	0.43	515.57	0.00	-949.29	0.09	0.20	2.16
Tightness	0.25	0.60	0.29	0.25	129.30	0.00	-564.39	0.08	0.29	1.12
Tuples	212	397	375.29	397.00	167,004	MAX VALUE	2,634.21	44.02	0.12	1.12
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	10	27	17.80	18.00	890	MAX VALUE	143.13	3.19	0.18	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: 16
Number of leaves: 7
Tree depth: 4
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Tree1.json

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

Cluster constraints 28 229 107.62 93.00 1,722 1.11e+31 71.49 66.34 0.62 2.77

Variables per cluster 11 35 21.94 21.50 351 1.00e+21 48.35 7.81 0.36 2.60

Separator constraints 0 214 79.81 61.50 1,277 0 None 61.31 0.77 2.77

Separator variables 0 34 18.81 18.00 301 0 None 8.56 0.46 2.69

Clusters per var 1 13 7.02 8.00 351 6.12e+36 84.70 3.72 0.53 2.35

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	28	229	107.62	93.00	1,722	1.11e+31	71.49	66.34	0.62	2.77
Variables per cluster	11	35	21.94	21.50	351	1.00e+21	48.35	7.81	0.36	2.60
Separator constraints	0	214	79.81	61.50	1,277	0	None	61.31	0.77	2.77
Separator variables	0	34	18.81	18.00	301	0	None	8.56	0.46	2.69
Clusters per var	1	13	7.02	8.00	351	6.12e+36	84.70	3.72	0.53	2.35

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 5
CIR: 0.08
Independent Cluster Pairs: 90
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/DualTree1.json

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

Cluster constraints 149 2,393 615.75 428.00 29,556 MAX VALUE 296.32 505.16 0.82 3.87

Variables per cluster 24 243 67.81 44.50 3,255 MAX VALUE 192.16 52.00 0.77 3.63

Separator constraints 0 1,333 454.69 362.50 21,825 0 None 297.20 0.65 3.87

Separator variables 0 185 58.54 41.50 2,810 0 None 39.65 0.68 3.66

Clusters per variable 1 11 7.31 8.00 3,255 MAX VALUE 836.14 2.53 0.35 2.02

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	149	2,393	615.75	428.00	29,556	MAX VALUE	296.32	505.16	0.82	3.87
Variables per cluster	24	243	67.81	44.50	3,255	MAX VALUE	192.16	52.00	0.77	3.63
Separator constraints	0	1,333	454.69	362.50	21,825	0	None	297.20	0.65	3.87
Separator variables	0	185	58.54	41.50	2,810	0	None	39.65	0.68	3.66
Clusters per variable	1	11	7.31	8.00	3,255	MAX VALUE	836.14	2.53	0.35	2.02

Primal graph

Density: 36.33%
MCB compute time (ms): None
MCB cycles: None
Triangles: 924
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Primal1.json

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

Clustering coefficient 0.31 0.43 0.36 0.36 18.07 0.00 -51.06 0.03 0.08 3.65

Degree 10 27 17.80 18.00 890 MAX VALUE 143.13 3.19 0.18 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	0.31	0.43	0.36	0.36	18.07	0.00	-51.06	0.03	0.08	3.65
Degree	10	27	17.80	18.00	890	MAX VALUE	143.13	3.19	0.18	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: 73.14%
MCB compute time (ms): None
MCB cycles: None
Triangles: 9,812

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

Clustering coefficient 0.79 1.00 0.89 0.88 44.47 0.00 -5.99 0.06 0.07 3.53

Degree 10 46 35.84 41.00 1,792 MAX VALUE 175.43 10.83 0.30 2.73

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	0.89	0.88	44.47	0.00	-5.99	0.06	0.07	3.53
Degree	10	46	35.84	41.00	1,792	MAX VALUE	175.43	10.83	0.30	2.73
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: 7.83%
MCB compute time (ms): 161,473
MCB cycles: 7,402
Triangles: 44,640
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Dual1.json

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

Clustering coefficient 0.49 0.62 0.50 0.50 224.59 0.00 -304.45 0.01 0.03 4.99

Degree 23 48 34.75 35.00 15,462 MAX VALUE 1,575.27 4.39 0.13 2.87

Eccentricity 3 3 3.00 3.00 1,335 MAX VALUE 488.88 0.00 0.00 0.00

MCB cycle size 3 4 3.00 3.00 22,214 MAX VALUE 8,134.23 0.03 0.01 0.01

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.49	0.62	0.50	0.50	224.59	0.00	-304.45	0.01	0.03	4.99
Degree	23	48	34.75	35.00	15,462	MAX VALUE	1,575.27	4.39	0.13	2.87
Eccentricity	3	3	3.00	3.00	1,335	MAX VALUE	488.88	0.00	0.00	0.00
MCB cycle size	3	4	3.00	3.00	22,214	MAX VALUE	8,134.23	0.03	0.01	0.01

Minimal dual graph

Density: 0.85%
MCB compute time (ms): 2,211
MCB cycles: 396

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 3.78 4.00 1,680 MAX VALUE 579.34 0.87 0.23 1.24

Eccentricity 7 9 7.56 8.00 3,364 MAX VALUE 899.10 0.52 0.07 0.74

MCB cycle size 4 10 7.15 7.00 2,833 MAX VALUE 773.94 1.11 0.16 1.49

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	3.78	4.00	1,680	MAX VALUE	579.34	0.87	0.23	1.24
Eccentricity	7	9	7.56	8.00	3,364	MAX VALUE	899.10	0.52	0.07	0.74
MCB cycle size	4	10	7.15	7.00	2,833	MAX VALUE	773.94	1.11	0.16	1.49

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: 9.90%

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

Clustering coefficient 0.47 1.00 0.84 0.81 372.80 0.00 -84.45 0.13 0.16 3.74

Degree 2 146 43.96 7.00 19,562 MAX VALUE 1,182.51 57.11 1.30 3.38

Eccentricity 3 5 3.76 4.00 1,672 MAX VALUE 584.67 0.51 0.14 0.75

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.84	0.81	372.80	0.00	-84.45	0.13	0.16	3.74
Degree	2	146	43.96	7.00	19,562	MAX VALUE	1,182.51	57.11	1.30	3.38
Eccentricity	3	5	3.76	4.00	1,672	MAX VALUE	584.67	0.51	0.14	0.75

Incidence graph

Density: 0.73%
MCB compute time (ms): 929
MCB cycles: 398
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/frb50-23/normalized-frb50-23-2-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 3.60 2.00 1,780 MAX VALUE 451.58 4.87 1.35 0.57

Eccentricity 5 6 5.90 6.00 2,922 MAX VALUE 878.17 0.30 0.05 0.32

MCB cycle size 6 6 6.00 6.00 2,388 MAX VALUE 713.12 0.00 0.00 0.00

XCSP 2.1 Benchmarks