LeetCode:Maximal Rectangle

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Maximal Rectangle

Total Accepted: 43628 Total Submissions: 183613 Difficulty: Hard

Given a 2D binary matrix filled with 0's and 1's, find the largest rectangle containing all ones and return its area.

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Array Hash Table Stack Dynamic Programming

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(H) Largest Rectangle in Histogram (M) Maximal Square

思路：

解法类似于【Largest Rectangle in Histogram】。

java code:

public class Solution {    public int maximalRectangle(char[][] matrix) {                if(matrix==null || matrix.length==0) return 0;        int m = matrix.length;        int n = matrix[0].length;                int[] height = new int[n+1];        int maxArea = 0;                for(int row = 0;row < m;row++) {            Stack<Integer> stack = new Stack<>();                        for(int col = 0; col <= n; col++) {                                if(col < n) {                    if(matrix[row][col] == '1') height[col]++;                    else height[col] = 0;                }                                if(stack.isEmpty() || height[col] >= height[stack.peek()])                    stack.push(col);                else {                    while(!stack.isEmpty() && height[col] < height[stack.peek()]) {                        int tmp = stack.pop();                        int wid = stack.isEmpty() ? col : col - stack.peek() - 1;                        maxArea = Math.max(maxArea, height[tmp] * wid);                    }                    stack.push(col);                }            }        }        return maxArea;    }}

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