XCSP 2.1 Benchmark Database

Instance: games120-7_ext
Number of variables: 120
Number of constraints: 638
Satisfiable: None
Timestamp: 2017-10-27 10:54:42
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0

Component #1

Number of variables: 120
Number of constraints: 638

General features

Number of coarse blocks: 8,932
Number of unique subscopes: 120

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

Arity 2 2 2.00 2.00 1,276 MAX VALUE 442.23 0.00 0.00 0.00

Coarse blocks size 6 6 6.00 6.00 53,592 MAX VALUE 16,004.00 0.00 0.00 0.00

Relational linkage 0.86 0.86 0.86 0.86 720.00 0.00 -129.49 0.00 0.00 0.00

Tightness 0.14 0.14 0.14 0.14 91.14 0.00 -1,241.49 0.00 0.00 0.00

Tuples 42 42 42.00 42.00 26,796 MAX VALUE 2,384.63 0.00 0.00 0.00

Domain size 7 7 7.00 7.00 840 MAX VALUE 233.51 0.00 0.00 0.00

Constraints per subscope 7 13 10.63 11.00 1,276 MAX VALUE 282.88 1.20 0.11 1.57

Partitions per subscope 7 7 7.00 7.00 840 MAX VALUE 233.51 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	1,276	MAX VALUE	442.23	0.00	0.00	0.00
Coarse blocks size	6	6	6.00	6.00	53,592	MAX VALUE	16,004.00	0.00	0.00	0.00
Relational linkage	0.86	0.86	0.86	0.86	720.00	0.00	-129.49	0.00	0.00	0.00
Tightness	0.14	0.14	0.14	0.14	91.14	0.00	-1,241.49	0.00	0.00	0.00
Tuples	42	42	42.00	42.00	26,796	MAX VALUE	2,384.63	0.00	0.00	0.00
Domain size	7	7	7.00	7.00	840	MAX VALUE	233.51	0.00	0.00	0.00
Constraints per subscope	7	13	10.63	11.00	1,276	MAX VALUE	282.88	1.20	0.11	1.57
Partitions per subscope	7	7	7.00	7.00	840	MAX VALUE	233.51	0.00	0.00	0.00

Tree decomposition

Number of clusters: 65
Number of leaves: 14
Tree depth: 11
Dot-file path: None
PDF-file path: None

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

Cluster constraints 2 83 33.35 30.00 2,168 MAX VALUE 219.44 15.71 0.47 3.49

Cluster variables 3 41 16.29 13.00 1,059 MAX VALUE 173.56 8.60 0.53 2.88

Separator constraints 0 67 23.54 22.00 1,530 0 None 14.26 0.61 3.33

Separator variables 0 35 14.45 12.00 939 0 None 8.05 0.56 2.86

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	2	83	33.35	30.00	2,168	MAX VALUE	219.44	15.71	0.47	3.49
Cluster variables	3	41	16.29	13.00	1,059	MAX VALUE	173.56	8.60	0.53	2.88
Separator constraints	0	67	23.54	22.00	1,530	0	None	14.26	0.61	3.33
Separator variables	0	35	14.45	12.00	939	0	None	8.05	0.56	2.86

Dual tree decomposition

Number of clusters: 117
Number of leaves: 58
Tree depth: 9
Dot-file path: None
PDF-file path: None

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

Cluster constraints 57 276 148.23 134.00 17,343 MAX VALUE 576.61 55.49 0.37 4.25

Cluster variables 15 102 32.40 24.00 3,791 MAX VALUE 394.08 17.20 0.53 3.38

Separator constraints 0 166 94.97 95.00 11,111 0 None 33.05 0.35 4.11

Separator variables 0 69 26.95 22.00 3,153 0 None 12.43 0.46 3.22

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	57	276	148.23	134.00	17,343	MAX VALUE	576.61	55.49	0.37	4.25
Cluster variables	15	102	32.40	24.00	3,791	MAX VALUE	394.08	17.20	0.53	3.38
Separator constraints	0	166	94.97	95.00	11,111	0	None	33.05	0.35	4.11
Separator variables	0	69	26.95	22.00	3,153	0	None	12.43	0.46	3.22

Primal graph

Density: 8.94%
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 0.07 0.78 0.44 0.44 53.37 0.00 -107.22 0.16 0.36 3.90

Degree 7 13 10.63 11.00 1,276 MAX VALUE 282.88 1.20 0.11 1.57

Eccentricity 3 6 4.78 5.00 573 MAX VALUE 186.51 0.63 0.13 0.94

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.07	0.78	0.44	0.44	53.37	0.00	-107.22	0.16	0.36	3.90
Degree	7	13	10.63	11.00	1,276	MAX VALUE	282.88	1.20	0.11	1.57
Eccentricity	3	6	4.78	5.00	573	MAX VALUE	186.51	0.63	0.13	0.94

Triangulated primal graph

Density: 29.19%

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

Clustering coefficient 0.57 1.00 0.82 0.80 98.50 0.00 -25.01 0.12 0.15 4.32

Degree 7 74 34.73 26.00 4,168 MAX VALUE 394.05 22.61 0.65 3.63

Eccentricity 2 4 3.51 4.00 421 MAX VALUE 149.26 0.52 0.15 0.73

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.57	1.00	0.82	0.80	98.50	0.00	-25.01	0.12	0.15	4.32
Degree	7	74	34.73	26.00	4,168	MAX VALUE	394.05	22.61	0.65	3.63
Eccentricity	2	4	3.51	4.00	421	MAX VALUE	149.26	0.52	0.15	0.73

Dual graph

Density: 3.07%
MCB compute time (ms): 33,755
MCB cycles: 5,921
Triangles: 19,399
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 0.47 0.53 0.50 0.50 318.74 0.00 -443.03 0.01 0.03 3.88

Degree 14 24 19.54 20.00 12,464 MAX VALUE 1,893.22 1.88 0.10 2.02

Eccentricity 4 7 5.36 5.00 3,419 MAX VALUE 1,065.31 0.70 0.13 1.06

MCB cycle size 3 6 3.07 3.00 18,190 MAX VALUE 6,624.05 0.29 0.10 0.26

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.47	0.53	0.50	0.50	318.74	0.00	-443.03	0.01	0.03	3.88
Degree	14	24	19.54	20.00	12,464	MAX VALUE	1,893.22	1.88	0.10	2.02
Eccentricity	4	7	5.36	5.00	3,419	MAX VALUE	1,065.31	0.70	0.13	1.06
MCB cycle size	3	6	3.07	3.00	18,190	MAX VALUE	6,624.05	0.29	0.10	0.26

Minimal dual graph

Density: 0.57%
MCB compute time (ms): 4,796
MCB cycles: 520

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

Clustering coefficient 0.00 0.33 0.01 0.00 3.87 0.00 None 0.04 6.34 0.15

Degree 2 6 3.62 4.00 2,312 MAX VALUE 809.44 0.71 0.20 1.04

Eccentricity 8 15 11.82 12.00 7,544 MAX VALUE 1,571.03 1.44 0.12 1.73

MCB cycle size 3 11 6.83 7.00 3,551 MAX VALUE 984.92 1.53 0.22 1.83

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.01	0.00	3.87	0.00	None	0.04	6.34	0.15
Degree	2	6	3.62	4.00	2,312	MAX VALUE	809.44	0.71	0.20	1.04
Eccentricity	8	15	11.82	12.00	7,544	MAX VALUE	1,571.03	1.44	0.12	1.73
MCB cycle size	3	11	6.83	7.00	3,551	MAX VALUE	984.92	1.53	0.22	1.83

Triangulated dual graph

Density: 13.22%
Triangles: 689,590

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

Clustering coefficient 0.43 1.00 0.79 0.84 505.18 0.00 -162.47 0.15 0.19 5.22

Degree 14 250 84.24 57.00 53,746 MAX VALUE 2,676.25 59.09 0.70 4.55

Eccentricity 3 5 3.82 4.00 2,435 MAX VALUE 848.28 0.52 0.14 0.77

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.43	1.00	0.79	0.84	505.18	0.00	-162.47	0.15	0.19	5.22
Degree	14	250	84.24	57.00	53,746	MAX VALUE	2,676.25	59.09	0.70	4.55
Eccentricity	3	5	3.82	4.00	2,435	MAX VALUE	848.28	0.52	0.14	0.77

Triangulated minimal dual graph

Density: 5.21%

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

Clustering coefficient 0.41 1.00 0.80 0.75 510.19 0.00 -155.99 0.16 0.20 3.88

Degree 2 160 33.21 7.00 21,188 MAX VALUE 1,585.23 47.36 1.43 3.49

Eccentricity 3 6 4.82 5.00 3,075 MAX VALUE 998.13 0.61 0.13 0.93

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.41	1.00	0.80	0.75	510.19	0.00	-155.99	0.16	0.20	3.88
Degree	2	160	33.21	7.00	21,188	MAX VALUE	1,585.23	47.36	1.43	3.49
Eccentricity	3	6	4.82	5.00	3,075	MAX VALUE	998.13	0.61	0.13	0.93

Incidence graph

Density: 0.44%
MCB compute time (ms): 3,354
MCB cycles: 519
Dot-file path: None
PDF-file path: None

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 13 3.37 2.00 2,552 MAX VALUE 725.11 3.19 0.95 0.69

Eccentricity 7 14 10.79 11.00 8,182 MAX VALUE 1,797.44 1.31 0.12 1.55

MCB cycle size 6 10 6.42 6.00 3,334 MAX VALUE 961.44 0.84 0.13 0.53

XCSP 2.1 Benchmarks