LintCode 510: Maximal Rectangle

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LintCode 510: Maximal Rectangle

LintCode 510: Maximal Rectangle 题目描述给你一个二维矩阵,权值为False和True,找到一个最大的矩形,使得里面的值全部为True,输出它的面积 Wed Nov 24 2016 思路本题的思路比较多,可以用动态规划,也可以把本题看做是最长连续正数列的二维版本,还可以把本题看做多个求柱形图中得最大矩形问题. 如果用动态规划,记\(f(i, j, l)\)为以\((i, j)\)为左上角顶点,以\(l\)为列宽的矩形面积.指定\(i\),\(j\),通过变换\(…

[LintCode] Maximal Rectangle 最大矩形

Given a 2D boolean matrix filled with False and True, find the largest rectangle containing all True and return its area. ExampleGiven a matrix: [ [1, 1, 0, 0, 1], [0, 1, 0, 0, 1], [0, 0, 1, 1, 1], [0, 0, 1, 1, 1], [0, 0, 0, 0, 1]]return 6. LeetCode上…

85. Maximal Rectangle

85. Maximal Rectangle Given a 2D binary matrix filled with 0's and 1's, find the largest rectangle containing only 1's and return its area. For example, given the following matrix: 1 0 1 0 0 1 0 1 1 1 0 0 1 0 Return 6.…

求解最大矩形面积 — leetcode 85. Maximal Rectangle

之前切了道求解最大正方形的题,题解猛戳这里.这道题 Maximal Rectangle 题意与之类似,但是解法完全不一样. 先来看这道题 Largest Rectangle in Histogram,如果暴力求解,可以枚举每个点为最小值,向两边扩展,复杂度 O(n^2).我们可以维护一个栈,从而将复杂度降低到 O(n),这个栈的思维非常巧妙,参考了 discuss,我是完全想不出来(或者说忘记了).具体代码可以猛戳这里. 2016-08-07 补:stack 数组维护的是一个单调递增的数组,…

【leetcode】Maximal Rectangle

Maximal Rectangle Given a 2D binary matrix filled with 0's and 1's, find the largest rectangle containing all ones and return its area. 使用dpHeight[]数组来记录到第i行为止,第j个位置垂直连续包含多少个1(包括matrxi[i][j]).如: 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 有如下结果: 第1行: dpHeight[…

47. Largest Rectangle in Histogram && Maximal Rectangle

Largest Rectangle in Histogram Given n non-negative integers representing the histogram's bar height where the width of each bar is 1, find the area of largest rectangle in the histogram. Above is a histogram where width of each bar is 1, given heigh…