Ultraviolet A 10368-Euclid's game (game)

Source: Internet
Author: User

Link to the question: UVA 10368-Euclid's game

Two numbers are given. Two people are playing a game. Each operation starts with Stan and several small numbers can be taken from the maximum number, that is, a-kb, A is a relatively large number, B is a relatively small number, KB is the removed value, K must be an integer, and kb ≤. If the operation fails, the opponent wins.

Solution thinking: Simulate, until the maximum value of K is not 1, the current operator has the initiative, both can win. In special cases, Stan wins when a = B.

#include <cstdio>#include <cstring>#include <algorithm>using namespace std;int main () {    int a, b;    while (scanf("%d%d", &a, &b) == 2 && a + b) {        int s = 0;        if (a != b) {            int x = max(a, b);            int y = min(a, b);            while (true) {                if (x / y > 1)                    break;                x = x%y;                swap(x, y);                s = 1 - s;            }        }        printf("%s wins\n", s ? "Ollie" : "Stan");    }    return 0;}

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