题意一个围挡由n个宽度为1的长方形挡板下端对齐后得到,每个长方形挡板的高度为hi.我们把其抽象成一个图形,问这个图形中包含的面积最大的长方形是多大? 输入多行数据,每行第一个为n,后面n个数,代表hi以0为结束 输出每行一个数 样例输入7 2 1 4 5 1 3 34 1000 1000 1000 10000样例输出84000 分析我们定一个中心为i,矩形高度为Hi,设他能在一个区间[l,r]中存在,必满足j∈[l,r]使Hj≥Hi.如果Hl-1≥Hi,显然可以继续向右扩张,那么Hl-1一定小于…

Description A histogram is a polygon composed of a sequence of rectangles aligned at a common base line. The rectangles have equal widths but may have different heights. For example, the figure on the left shows the histogram that consists of rectang…

Largest Rectangle in a Histogram Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 26012   Accepted: 8416 Description A histogram is a polygon composed of a sequence of rectangles aligned at a common base line. The rectangles have equal wi…

http://poj.org/problem?id=2559 Largest Rectangle in a Histogram Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 12297   Accepted: 3974 Description A histogram is a polygon composed of a sequence of rectangles aligned at a common base lin…

Description A histogram is a polygon composed of a sequence of rectangles aligned at a common base line. The rectangles have equal widths but may have different heights. For example, the figure on the left shows the histogram that consists of rectang…

Description A histogram is a polygon composed of a sequence of rectangles aligned at a common base line. The rectangles have equal widths but may have different heights. For example, the figure on the left shows the histogram that consists of rectang…

Largest Rectangle in a Histogram 题目链接(点击)来源poj 2559 A histogram is a polygon composed of a sequence of rectangles aligned at a common base line. The rectangles have equal widths but may have different heights. For example, the figure on the left show…

类型:单调栈 传送门:>Here< 题意:给出若干宽度相同的矩形的高度(条形统计图),求最大子矩形面积 解题思路 单调栈的经典题 显然,最终的子矩形高度一定和某一个矩形相等(反证).因此一个暴力的做法就是枚举每一个矩形,然后往两边扩散.在它左侧找到第一个高度比它小的,右侧也一样.则可以求出最大可扩散宽度,乘上高度即可以更新答案.复杂度$O(n^2)$ 如果说要优化刚才的算法,也就可以优化寻找最大可扩散宽度的速度 让每一个矩形依次入栈,保存两个关键字:矩形高度,其最大左扩散宽度.保证栈内的矩形高…

题目链接 对栈的一种灵活运用吧算是,希望我的注释写的足够清晰.. #include<bits/stdc++.h> using namespace std; typedef long long LL; ; int Stack[N]; //Stack[]为单调栈(即每次能入栈的元素值必比栈顶元素(若存在)要大) int len[N]; //len[]与Stack[]同步 ,记录的是从Stack[]中对应元素起向左最大可延伸的宽度 int n; LL top,ans,h; void print()…

[题目链接] http://poj.org/problem?id=2559 [题目大意] 给出一些宽度为1的长方形下段对其后横向排列得到的图形,现在给你他们的高度, 求里面包含的最大长方形的面积 [题解] 我们枚举每个位置的最大高度全部被保留时得到的最优解,那么答案一定被包含在其中, 那么题目转化为求出每个高度左右两边最近的比其低的位置,可以用单调栈完成. [代码] #include <cstdio> #include <algorithm> using namespace std…