XCSP 2.1 Benchmark Database

Instance: normalized-rand-2-50-23-587-230-22-ext
Number of variables: 50
Number of constraints: 465
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: 465

General features

Coarse blocks: 21,390
Value tables: 50

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

Arity 2 2 2.00 2.00 930 MAX VALUE 322.31 0.00 0.00 0.00

Coarse blocks size 3 23 16.71 17.00 357,532 MAX VALUE 59,868.70 2.86 0.17 2.41

Relational linkage 0.13 0.65 0.46 0.48 524.74 0.00 -935.30 0.10 0.22 2.19

Tightness 0.23 0.71 0.27 0.23 127.07 0.00 -621.12 0.09 0.31 1.23

Tuples 151 408 384.44 408.00 178,766 MAX VALUE 2,763.66 45.40 0.12 1.23

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

Value table constraints 11 28 18.60 19.00 930 MAX VALUE 145.39 3.22 0.17 2.40

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	930	MAX VALUE	322.31	0.00	0.00	0.00
Coarse blocks size	3	23	16.71	17.00	357,532	MAX VALUE	59,868.70	2.86	0.17	2.41
Relational linkage	0.13	0.65	0.46	0.48	524.74	0.00	-935.30	0.10	0.22	2.19
Tightness	0.23	0.71	0.27	0.23	127.07	0.00	-621.12	0.09	0.31	1.23
Tuples	151	408	384.44	408.00	178,766	MAX VALUE	2,763.66	45.40	0.12	1.23
Values	23	23	23.00	23.00	1,150	MAX VALUE	156.78	0.00	0.00	0.00
Value table constraints	11	28	18.60	19.00	930	MAX VALUE	145.39	3.22	0.17	2.40
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: 3
CIR: 0.00
Independent Cluster Pairs: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Tree1.json

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

Cluster constraints 39 251 117.33 79.00 1,760 5.93e+29 68.55 71.29 0.61 2.62

Variables per cluster 12 36 22.60 20.00 339 7.79e+19 45.80 8.07 0.36 2.15

Separator constraints 0 227 86.33 53.00 1,295 0 None 64.42 0.75 2.71

Separator variables 0 35 19.27 15.00 289 0 None 8.88 0.46 2.25

Clusters per var 1 13 6.78 8.00 339 3.06e+36 84.01 3.38 0.50 2.24

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	39	251	117.33	79.00	1,760	5.93e+29	68.55	71.29	0.61	2.62
Variables per cluster	12	36	22.60	20.00	339	7.79e+19	45.80	8.07	0.36	2.15
Separator constraints	0	227	86.33	53.00	1,295	0	None	64.42	0.75	2.71
Separator variables	0	35	19.27	15.00	289	0	None	8.88	0.46	2.25
Clusters per var	1	13	6.78	8.00	339	3.06e+36	84.01	3.38	0.50	2.24

Dual tree decomposition

Number of clusters: 48
Number of leaves: 23
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 78
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/DualTree1.json

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

Cluster constraints 161 2,615 684.81 463.00 32,871 MAX VALUE 301.00 572.62 0.84 3.84

Variables per cluster 25 255 71.42 46.50 3,428 MAX VALUE 194.55 55.09 0.77 3.65

Separator constraints 0 1,583 508.92 382.00 24,428 0 None 339.93 0.67 3.81

Separator variables 0 198 61.73 44.00 2,963 0 None 42.06 0.68 3.62

Clusters per variable 1 11 7.37 8.00 3,428 MAX VALUE 879.47 2.49 0.34 2.01

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	161	2,615	684.81	463.00	32,871	MAX VALUE	301.00	572.62	0.84	3.84
Variables per cluster	25	255	71.42	46.50	3,428	MAX VALUE	194.55	55.09	0.77	3.65
Separator constraints	0	1,583	508.92	382.00	24,428	0	None	339.93	0.67	3.81
Separator variables	0	198	61.73	44.00	2,963	0	None	42.06	0.68	3.62
Clusters per variable	1	11	7.37	8.00	3,428	MAX VALUE	879.47	2.49	0.34	2.01

Primal graph

Density: 37.96%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,081
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Primal1.json

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

Clustering coefficient 0.28 0.51 0.39 0.39 19.38 0.00 -47.68 0.04 0.11 3.57

Degree 11 28 18.60 19.00 930 MAX VALUE 145.39 3.22 0.17 2.40

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	0.28	0.51	0.39	0.39	19.38	0.00	-47.68	0.04	0.11	3.57
Degree	11	28	18.60	19.00	930	MAX VALUE	145.39	3.22	0.17	2.40
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: 75.02%
MCB compute time (ms): None
MCB cycles: None
Triangles: 10,371

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

Clustering coefficient 0.78 1.00 0.90 0.88 44.79 0.00 -5.60 0.06 0.07 3.48

Degree 11 47 36.76 42.00 1,838 MAX VALUE 177.00 10.60 0.29 2.49

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	0.88	44.79	0.00	-5.60	0.06	0.07	3.48
Degree	11	47	36.76	42.00	1,838	MAX VALUE	177.00	10.60	0.29	2.49
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): 62,770
MCB cycles: 8,406
Triangles: 50,983
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Dual1.json

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

Clustering coefficient 0.48 0.58 0.50 0.50 234.82 0.00 -317.84 0.01 0.03 5.00

Degree 24 50 36.31 36.00 16,886 MAX VALUE 1,666.86 4.45 0.12 2.88

Eccentricity 3 3 3.00 3.00 1,395 MAX VALUE 510.86 0.00 0.00 0.00

MCB cycle size 3 4 3.02 3.00 25,354 MAX VALUE 9,274.06 0.13 0.04 0.08

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.48	0.58	0.50	0.50	234.82	0.00	-317.84	0.01	0.03	5.00
Degree	24	50	36.31	36.00	16,886	MAX VALUE	1,666.86	4.45	0.12	2.88
Eccentricity	3	3	3.00	3.00	1,395	MAX VALUE	510.86	0.00	0.00	0.00
MCB cycle size	3	4	3.02	3.00	25,354	MAX VALUE	9,274.06	0.13	0.04	0.08

Minimal dual graph

Density: 0.82%
MCB compute time (ms): 2,666
MCB cycles: 416

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 12.90 0.04

Degree 2 7 3.78 4.00 1,760 MAX VALUE 607.84 0.85 0.22 1.18

Eccentricity 7 10 8.21 8.00 3,818 MAX VALUE 977.42 0.68 0.08 1.03

MCB cycle size 3 11 6.74 7.00 2,803 MAX VALUE 786.70 1.18 0.18 1.57

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	12.90	0.04
Degree	2	7	3.78	4.00	1,760	MAX VALUE	607.84	0.85	0.22	1.18
Eccentricity	7	10	8.21	8.00	3,818	MAX VALUE	977.42	0.68	0.08	1.03
MCB cycle size	3	11	6.74	7.00	2,803	MAX VALUE	786.70	1.18	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: 9.48%

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

Clustering coefficient 0.47 1.00 0.83 0.80 385.55 0.00 -93.59 0.14 0.16 3.84

Degree 2 149 43.98 9.00 20,450 MAX VALUE 1,256.29 56.47 1.28 3.44

Eccentricity 3 5 3.87 4.00 1,800 MAX VALUE 624.46 0.55 0.14 0.83

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	1.00	0.83	0.80	385.55	0.00	-93.59	0.14	0.16	3.84
Degree	2	149	43.98	9.00	20,450	MAX VALUE	1,256.29	56.47	1.28	3.44
Eccentricity	3	5	3.87	4.00	1,800	MAX VALUE	624.46	0.55	0.14	0.83

Incidence graph

Density: 0.70%
MCB compute time (ms): 1,251
MCB cycles: 416
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/rand-2-50-23/normalized-rand-2-50-23-587-230-22-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 3.61 2.00 1,860 MAX VALUE 467.70 5.02 1.39 0.55

Eccentricity 5 6 5.91 6.00 3,042 MAX VALUE 914.00 0.29 0.05 0.31

MCB cycle size 6 6 6.00 6.00 2,496 MAX VALUE 745.37 0.00 0.00 0.00

XCSP 2.1 Benchmarks