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Discussion of Problem 1051. Simple Game on a Grid

> This is a my solution:
Suppose: m<=n
if m=1 then sol:=(n+1) div 2 else
begin
  if (m mod 3=0)or(n mod 3=0) then sol:=2 else sol:=1;
end;
Vinicius Fortuna How did you realise this algorithm? [1] // Problem 1051. Simple Game on a Grid 8 Oct 2001 04:17
How did you realise this algorithm?
How can you proof that?
This solution really impressed me! :-)
You may e-mail me: fortuna@acm.org

Thank you

> > This is a my solution:
> Suppose: m<=n
> if m=1 then sol:=(n+1) div 2 else
> begin
>   if (m mod 3=0)or(n mod 3=0) then sol:=2 else sol:=1;
> end;
>

>
> > > This is a my solution:
> > Suppose: m<=n
> > if m=1 then sol:=(n+1) div 2 else
> > begin
> >   if (m mod 3=0)or(n mod 3=0) then sol:=2 else sol:=1;
> > end;
> >