## Solution:

The problem of the last contest was:

All solutions to this equation follow one general formula. This can be reached by setting the whole equation equal to a new variable z⁶:`x² = y³ = z⁶`

↓`x = z³`

`y = z²`

If z is an integer, then x and y are also integer, so the general result is:`(z³, z²)`

Sadly most people forgot that z can also be negative, but luckily that won't have a negative impact **today**.

*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*

### How your chance of winning is calculated:

- Every participant gets 1 point for entering the contest.
- Every solution entered gets 1 additional point.
- Multiple examples of a general solution count as one solution
- If there is only one general solution, those who found its pattern(by mentioning a general formula or showing more then 3 examples) will get an additional point.
- Your winning chance is
`"your points"/"total points"`

*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*

### List of participants with their scores and chance of winning, sorted by time of entry:

Name | solutions found | score | chance of winning |
---|---|---|---|

@contrabourdon | `(1, 1)` |
2 | 11.1% |

@hokkaido | `(1, 1)` |
2 | 11.1% |

@vote-transfer | `(±1, 1)` |
2 | 11.1% |

@heraclio | `(8, 4)` |
2 | 11.1% |

@sparkesy43 | `(8, 4)` |
2 | 11.1% |

@mytechtrail | `(1, 1)` |
2 | 11.1% |

@bwar | `(z³, z²)` |
3 | 16.7% |

@tonimontana | `(t³, t²)` |
3 | 16.7% |

*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*

### Winner draw(using a self written program):

Congratulations @vote-transfer, you won 1 SBI:

*↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓↑↓*

## Comments 1