[洛谷P1714]切蛋糕

题目大意:给你n个整数,求出其中长度不超过m的最大字段和。

题解:单调队列维护前缀和最小值,然后用当前值减去当前有效最小值即可

C++ Code:

#include<cstdio>
using namespace std;
int n,m;
int q[501000],sum[501000],h,t,ans;
int s[501000];
int max(int a,int b){return a>b?a:b;}
int main(){
	scanf("%d%d",&n,&m);
	for (int i=1;i<=n;i++)scanf("%d",&s[i]);
	q[h=t=1]=1;
	for (int i=1;i<=n;i++){
		sum[i]=sum[i-1]+s[i];
		while (h<=t&&sum[i]<sum[q[t]])t--;
		q[++t]=i;
		if (i-q[h]>=m)h++;
		ans=max(sum[i]-sum[q[h]],ans);
	}
	printf("%d
",ans);
	return 0;
}
原文地址:https://www.cnblogs.com/Memory-of-winter/p/7812792.html