pythago7824

binary feasibility set_covering invariant_knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Felix J. L. Willamowski	3740	14652	8.02139e-04	hard	–	0	pythago7824.mps.gz

2-coloring of Pythagorean triples

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	3740	3740
Constraints	14652	14652
Binaries	3740	3740
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000802139	0.000802139
Nonzeroes	43956	43956

Constraint Classification Properties
	Original	Presolved
Total	14652	14652
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	7326	7326
Cardinality	0	0
Invariant Knapsack	7326	7326
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	0	0
General Linear	0	0
Indicator	0	0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	value	min	median	mean	max
Components	0.30103
Constraint %		100	100	100	100
Variable %		100	100	100	100
Score	0.00000

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
1	0	0	0	0	0	Fabio Traversa	2019-06-04	found with MemCPU solver

Similar instances in collection

The following instances are most similar to pythago7824 in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance	Status	Variables	Binaries	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
pythago7825	open	3745	3745	0	14672	44016	Felix J. L. Willamowski	–		no_solution binary feasibility set_covering invariant_knapsack
supportcase30	open	1024	1024	0	1028	12288	Domenico Salvagnin	–		no_solution binary feasibility set_covering cardinality
neos-4382714-ruvuma	easy	6562	6561	1	3645	32805	Hans Mittelmann	neos-pseudoapplication-103	Infeasible	infeasible binary feasibility benchmark_suitable set_partitioning
ponderthis0517-inf	easy	975	975	0	78	2925	Rob Pratt	–	Infeasible	infeasible binary feasibility benchmark_suitable set_partitioning set_packing
fhnw-binpack4-18	easy	520	481	39	650	2392	Simon Felix	binpack	Infeasible	infeasible feasibility benchmark_suitable invariant_knapsack mixed_binary

Reference

No bibliographic information available