The APL 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).
SPOILER (added after game ended): An amalgamation of all the entries showing the expressions that use the fewest characters for each number can be downloaded as a text file.
Hall of Fame
Name | Number of Characters Used |
|---|---|
Jonas Stensiö | 693 |
Veli-Matti Jantunen | 693 |
Eric Lufkin | 695 |
Michele Bellon | 697 |
Moris Zucca | 697 |
Stefano Lanzavecchia | 700 |
Dan – Dyalog | 701 |
Nick – Dyalog | 701 |
Francesco Garue | 702 |
Jay – Dyalog | 711 |
Kaarlo Reipas | 711 |
Алексей Коваль (Aleksei Koval) | 711 |
Kacper Gutowski | 726 |
Dragana Babić | 786 |
Zachary Taylor | 798 |
Stephen O’Brien | 823 |
Eero Kekäläinen | 954 |
Yi Lu | 1125 |
XXX Needs title
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…
This section also needs a link to the blog peice that was only linked to via the little icon: https://dyalogprod.gos.dyalog.com/blog/2017/01/the-2016-year-game/
