pythago7825

no_solution binary feasibility set_covering invariant_knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
Felix J. L. Willamowski 3745 14672 8.01068e-04 open NA pythago7825.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 3745 3745
Constraints 14672 14672
Binaries 3745 3745
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000801068 0.000801068
Nonzeroes 44016 44016
Constraint Classification Properties
Original Presolved
Total 14672 14672
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 7336 7336
Cardinality 0 0
Invariant Knapsack 7336 7336
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)

No solution available for pythago7825 .

Similar instances in collection

The following instances are most similar to pythago7825 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
pythago7824 hard 3740 3740 0 0 14652 43956 Felix J. L. Willamowski 0 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 Jun 24, 2019 by Gregor Hendel
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