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…
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…
                                                                                                   Largest Rectangle in a Histogram       A histogram is a polygon composed of a sequence of rectangles aligned at a common base line. The rectangles have…
Largest Rectangle in a Histogram Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 29498   Accepted: 9539 Description A histogram is a polygon composed of a sequence of rectangles aligned at a common base line. The rectangles have equal wi…
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…
题意:求一个直方图中最大矩形的面积. 很经典的一道问题了吧,可以用单调栈分别求出每个柱子左右两边第一个比它低的柱子(也就相当于求出了和它相连的最后一个比它高的柱子),确定每个柱子的左右边界,每个柱子的高度乘上左右边界的宽度求最大值就行了. 也可以用笛卡尔树上dp的方法搞一搞,即用每个结点权值和所在子树的大小分别表示高度和宽度.(建笛卡尔树的过程也用到了单调栈,作用是维护右链) 单调栈做法: #include<bits/stdc++.h> using namespace std; typedef…
题目大意 有一个直方图,其所有矩形的底均是1(以后简称小矩形).给出这些矩形的高度,求这些矩形的并集中存在的面积最大的矩形(简称大矩形)的面积. 题解 大矩形的高必然一边等于一个小矩形的高,另一边小于等于另一个小矩形的高. 我们现考虑面积最大矩形左边高等于其所在小矩形的高的情况,则其右边高小于等于其对应的小矩形的高(以后将此简称为左等高矩形).我们要维护一个单调栈,使得栈里的矩形的高度都是单调递增的.一个一个枚举小矩形,如果当前小矩形高度比栈顶的矩形高度高或等,则如果所求大矩形是个左边为栈内矩形…
题目大意:原题链接 一排紧密相连的矩形,求能构成的最大矩形面积. 为了防止栈为空,所以提前加入元素(-1,0) #include<cstdio> #include<stack> #define maxn 100005 using namespace std; long long h[maxn]; struct Element { long long height; int startpos; Element(){} Element(long long _h,int _p){ hei…
题目大意: 输入n,,1 ≤ n ≤ 100000,接下来n个数为每列的高度h ,0 ≤ hi ≤ 1000000000 求得最大矩阵的面积 Sample Input 7 2 1 4 5 1 3 34 1000 1000 1000 10000 Sample Output 84000   #include <bits/stdc++.h> #define ll long long using namespace std; ll n,a[],L[],R[],sta[]; // sta[]模拟栈 in…
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…
作者:jostree 转载请注明出处 http://www.cnblogs.com/jostree/p/4052343.html 题目链接 leetcode Largest Rectangle in Histogram 单调栈 对于每一个长条都向前找包含这个长条的最大面积使可行的,但是时间复杂度是O(n^2)大数据会超时.经过观察发现并不需要对每一个长条都向前查找,对于height[i],如果height[i+1]>height[i],那么就没有必要向前查找,原因是可以从height[i]查找到…
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…
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 rectangles with the…
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…
LeetCode 84. Largest Rectangle in Histogram 单调栈应用 leetcode+ 循环数组,求右边第一个大的数字 求一个数组中右边第一个比他大的数(单调栈 LeetCode--寻找数组中第三大的数…
[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 Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 22968    Accepted Submission(s): 7175 Problem Description A histogram is a polygon composed of a sequence of rect…
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 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…
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 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…
// 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…
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 http://acm.hdu.edu.cn/showproblem.php?pid=1506 Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 23458    Accepted Submission(s): 7362 Problem Description A histog…
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…
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…