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…

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: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…

[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 \(n\)…

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…

                                     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…

Largest Rectangle in a Histogram Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 19782   Accepted: 6393 Description A histogram is a polygon composed of a sequence of rectangles aligned at a common base line. The rectangles have equal wi…

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 : 2000/1000ms (Java/Other)   Memory Limit : 65536/32768K (Java/Other) Total Submission(s) : 16   Accepted Submission(s) : 6 Problem Description A histogram is a polygon composed of a sequence of rectangles…