题目链接:fzu 1914 Funny Positive Sequence
题目大意:给出n,以及长度为n的数列a[i],现在以每个i为起点,计算d[i][j]表示以i为起点,计算后面j个数的和(如果i + j超过n,从1开始继续计算)问有几个i满足d[i][j](1≤j≤n)均大于0。
解题思路:这题还是有点技巧的,从数组的后面枚举,碰到a[i] ≤ 0,就开始往前叠加,凡是和小于等于0的都是不满足情况的位置i。注意一个坑点就是,当叠加到i为0,即数组到头的时候sum仍小于0的时候,要考虑从后再遍历一下数组。
#include#include #define ll long long const int N = 500005; int n, v[N]; ll a[N]; void init() { scanf("%d", &n); memset(v, 0, sizeof(v)); for (int i = 0; i < n; i++) scanf("%lld", &a[i]); } int solve() { int ans = n; ll sum = 0; for (int i = n - 1; i >= 0 && ans; i--) { if (sum <= 0) { sum += a[i]; if (sum <= 0) { ans--; v[i] = 1; } } else if (a[i] <= 0) { sum = a[i]; ans--; v[i] = 1; } } int i = n - 1; while (sum <= 0) { sum += a[i]; if (sum <= 0 && !v[i]) { v[i] = 1; ans--; } i--; if (ans == 0 || i < 0) break; } return ans; } int main () { int cas; scanf("%d", &cas); for (int i = 1; i <= cas; i++) { init(); printf("Case %d: %d\n", i, solve()); } return 0; }