I was solving the problem UVa 10368 and after thinking for a while i came up with this solution:

The first player have a number n%m == 0 or n/m > 1 is the winner and got **AC** ! **:D**

I just observed this solution when i tried some numbers on a paper but i actually don't have a rigorous proof for that ! could you **demonstrate** why this solution works ?

Thanks in advance :)