# 2016 Year Game

A bit of fun (and possibly frustration!) for 2016...our "puzzle of the year". Enjoy!

## The Objective

Find APL expressions involving exactly the digits 2 0 1 6 in that order to equal the numbers 0 to 100. For example:

20=16

0

×2016

1

2⌊016

2

2+0+1*6

3

...

The aim is to use as few characters as possible in each expression (the minimum number of characters for an expression is 5 – the four digits 2 0 1 6 and a single primitive function/operator).

## The Rules

- Each expression must contain the digits 2 0 1 6 (in that order) and no other digits.
- In addition to the four digits 2 0 1 6, only primitive functions/operators, parentheses/braces, spaces, high minus signs and decimal points can be used. The resultant expressions must be deterministic (that is, give the same result on repeated evaluations).
- Assume ⎕ML and ⎕IO are both 1.
- Each entry comprising correct expressions for all the numbers from 0 to 100 inclusive will be rated according to the number of characters used by those expressions excluding redundant spaces (minimum 505 for all 101 expressions).

## Eligibility |
## Closing Date |
## Prizes |

Anyone can enter. | 31 December 2016 | Be immortalised in our 2016 Hall of Fame! |

## Submitting Your Entry

Email your expressions in a text file or Microsoft Excel file to 2016game@dyalog.com (don't forget to include your name).

## 2016 Hall of Fame

Name | Number of Characters Used |
---|---|

Jonas Stensiö Veli-Matti Jantunen |
693 |

Eric Lufkin | 695 |

Michele Bellon Moris Zucca |
697 |

Stefano Lanzavecchia | 700 |

Dan – Dyalog Nick – Dyalog |
701 |

Francesco Garue | 702 |

Jay – Dyalog Kaarlo Reipas Алексей Коваль (Aleksei Koval) |
711 |

Kacper Gutowski | 726 |

Fredrik Sjögren | 757 |

Dragana Babić | 786 |

Zachary Taylor | 798 |

Stephen O'Brien | 823 |

Eero Kekäläinen | 954 |

Yi Lu | 1125 |

An amalgamation of all the entries showing the expressions that use the fewest characters for each number can be downloaded as a text file. Congratulations to **Jonas Stensiö** and **Veli-Matti Jantunen**, who both achieved the same character count as the amalgamated minimum. Of course, there could be shorter expressions out there...