40

40 is a programming challenge with an extremely long name. As the input gets higher, it puts more stress on the compiler.

Its full name is the end result when 40 is put in:

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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0

Rules

if n is the only thing there, convert to [n]

[n] if n>0 then:

• if n%3>=1 then [n-1]
• if n%3=0 then [n-1,n-2]

Example

20
19
18
17,16
16,15
15,14,13
14,13,13,12
13,12,12,11,10
12,11,10,11,10,10,9
11,10,10,9,10,9,9,8,7
10,9,9,8,7,9,8,7,8,7,7,6
9,8,7,8,7,7,6,8,7,7,6,7,6,6,5,4
8,7,7,6,7,6,6,5,4,7,6,6,5,4,6,5,4,5,4,4,3
7,6,6,5,4,6,5,4,5,4,4,3,6,5,4,5,4,4,3,5,4,4,3,4,3,3,2,1
6,5,4,5,4,4,3,5,4,4,3,4,3,3,2,1,5,4,4,3,4,3,3,2,1,4,3,3,2,1,3,2,1,2,1,1,0
5,4,4,3,4,3,3,2,1,4,3,3,2,1,3,2,1,2,1,1,0,4,3,3,2,1,3,2,1,2,1,1,0,3,2,1,2,1,1,0,2,1,1,0,1,0,0,0
4,3,3,2,1,3,2,1,2,1,1,0,3,2,1,2,1,1,0,2,1,1,0,1,0,0,0,3,2,1,2,1,1,0,2,1,1,0,1,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0
3,2,1,2,1,1,0,2,1,1,0,1,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0

Processing.js (Khan academy environment)

var a = [20];
var draw = function() {
    var notzero = false;
    for(var i=0;i<a.length;i++){
        if(a[i]>0){
            notzero = true;
            if(a[i]%3>0){
               a[i]--;
            }
            else{
                a[i]--;
                a.splice(i+1,0,a[i]);
            }
        }
    }
    if(notzero){println(a);}
};