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

Detailed explanation of the following tables can be found here.

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 |

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 |

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

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 |

No solution available for pythago7825 .

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 |

`No bibliographic information available`

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