题目链接: https://www.luogu.org/problemnew/show/SP1805 http://poj.org/problem?id=2559 思路: ## 单调栈 首先如果所有矩形的高度是单调递增的,即新加入的矩形比上一个高,那么把加进来直至加完,这是我们就把分别每个矩形的高度看做是最大子矩形的高度,分别向左右拓展求得最大面积. 然而矩形的高度不一定是递增的,如果新加入的矩形比上一个小,那么之前这些矩形的高度对于后面的计算就没用了.我们就在这时候把比这个新加的矩形高的部分全…

题目链接:https://www.luogu.org/problemnew/show/SP1805 分析: 我们可以用一个单调栈由低到高来存储它的高度,并用数组对每个高度记录一下它前面(包括它自己)一共有多少个比它高的,可以看做它的左宽. 按顺序考虑每个高度h,如果h大于栈顶元素,则入栈,此时它大于左面全部的元素,并且将它的宽度初始为1. 否则,将栈内元素出栈,直到满足上面的条件.出栈时,我们要将出栈元素对之后问题的影响全部考虑进行处理,才能保证做法的正确性. 对于每个高度,它的作用无非两个:…

--------------------------------------------------- 我就是想学个单调栈然后全网都是个蓝题 --------------------------------------------------- 连接: POJ 洛谷 --------------------------------------------------- (字都在注释上) #include<iostream> #include<stack> #include<c…

[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…

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…

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…

题目地址:http://poj.org/problem?id=2559 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 th…

// poj 2559 Largest Rectangle in a Histogram 栈 // // n个矩形排在一块,不同的高度,让你求最大的矩形的面积(矩形紧挨在一起) // // 这道题用的是数据结构做.也能够递推做.眼下仅仅会数据结构的 // // 对于每一个高度h,求一个左边界L和右边界R,分别表示的意义是 // L是下标为j的矩形的高度的hj小于当前h的最大的j的值. 则依据定义 // 我们能够知道j到i之间的h都是大于当前的hi的. // R是下标为k的矩形的高度的hk大于当前…

题目传送门 /* 题意:宽度为1,高度不等,求最大矩形面积 stack(数组模拟):对于每个a[i]有L[i],R[i]坐标位置 表示a[L[i]] < a[i] < a[R[i]] 的极限情况 st[]里是严格单调递增,若不记录的话还要O(n)的去查找L,R,用栈的话降低复杂度 */ #include <cstdio> #include <cstring> #include <algorithm> #include <stack> #inclu…

http://acm.hdu.edu.cn/showproblem.php?pid=1506  || http://poj.org/problem?id=2559 Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 19316    Accepted Submission(s): 5829 Problem Description A hist…

[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 \(n\)…

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…

传送门 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 rec…

Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 18942   Accepted: 6083 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 heigh…

Largest Rectangle in a Histogram Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 15831   Accepted: 5121 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…

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…

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…

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 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…

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 Problem 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 sh…

Largest Rectangle in a Histogram Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 15013    Accepted Submission(s): 4357 Problem Description A histogram is a polygon composed of a sequence of rec…

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…

Problem 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…

题目链接 :http://acm.hdu.edu.cn/showproblem.php?pid=1506 Problem 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 fi…

NC50965 Largest Rectangle in a Histogram 题目 题目描述 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 t…

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…

Largest Rectangle in a Histogram HDU1506 一道DP题: 思路:http://blog.csdn.net/qiqijianglu/article/details/8556852 #include <stdio.h> #include <iostream> using namespace std; ]; ],r[]; int main() { int n,i,j; long long maxx,sum; while(~scanf("%d…

2107: Largest Rectangle in a Histogram Time Limit: 1 Sec  Memory Limit: 64 MBSubmit: 777  Solved: 220 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 ha…