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

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.

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

Reference

No bibliographic information available

Last Update Aug 28, 2019 by Gregor Hendel
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