[题解]Largest Rectangle in a Histogram [SP1805] [POJ2559] [题目描述] 传送: \(Largest\) \(Rectangle\) \(in\) \(a\) \(Histogram\) \([SP1805]\) \([POJ2559]\) 同一水平线上有 \(n\) 个矩形,构成了一个柱状多边形,矩形宽度均为 \(1\),高度不同.如图: 你需要在多边形中框选出一个矩形,使其面积最大,如图阴影部分. [输入] 每组数据包含一个整数 \(n\)…

题目链接:http://poj.org/problem?id=2559 Largest Rectangle in a Histogram Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 24259   Accepted: 7844 Description A histogram is a polygon composed of a sequence of rectangles aligned at a common bas…

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…

[POJ 2559]Largest Rectangle in a Histogram 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 s…

Largest Rectangle in a Histogram http://poj.org/problem?id=2559 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(嫌弃字多可以先看后面的示例再来看这个思路) 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(n2) 如果说要优化刚才…

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…

                                     Largest Rectangle in a Histogram 这么经典的题硬是等今天碰到了原题现场懵逼两小时才会去补题...废话不多说: 题意:截取一个矩形使其面积最大,随你怎么截,反正面积要最大.输出最大面积,注意爆int. 思路:dp或单调队列.核心思路是从一个小矩形往两边扩散,分别找两边第一个小于这个矩形的位置,其中面积就是这个小矩形与区间长度的乘积,我们预处理出所有的小矩形的这两个端点值,然后扫一遍即可更新到最…

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…

目录 题目 思路 \(Code\) 题目 Largest Rectangle in a Histogram 思路 单调栈. 不知道怎么描述所以用样例讲一下. 7 2 1 4 5 1 3 3 最大矩形的高度一定是给你的高度中的一个. 我们枚举最大高度. 很明显以某一高度为高的矩形的左边界是该高度左边第一个比它矮的. 右边界类似. 我们可以用单调栈去维护每一个高度左右第一个比他矮的位置即可 \(Code\) #include<iostream> #include<cstring> #i…

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…