uva 847 - A Multiplication Game(规律)

题目链接:uva 847 - A Multiplication Game

题目大意:给定n,有p=1,每次操作可以给p乘上2~9,两个人人轮流操作,当p>=n时获胜。

解题思路:算半个贪心吧,2~9为必胜,10~18为必败,19~162为必胜。。。即每次乘9,如果大于则是Stan胜,再乘2,如果大于则是Oliie

#include <cstdio>
#include <cstring>
#include <algorithm>

using namespace std;
typedef long long ll;

bool judge (ll n) {
    ll p = 1;
    while (p < n) {
        p *= 9;
        if (p >= n)
            return true;

        p *= 2;
        if (p >= n)
            return false;
    }
    return false;
}

int main () {
    ll n;
    while (scanf("%lld", &n) == 1) {
        printf("%s wins.\n", judge(n) ? "Stan" : "Ollie");
    }
    return 0;
}

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