problem:
Given a 2D binary matrix filled with 0‘s and 1‘s, find the largest rectangle containing all ones and return its area.
Array Hash Table Stack Dynamic Programmingthinking:
这一题是上一条的变形,具体参考
http://blog.csdn.net/doc_sgl/article/details/11832965
code:
class Solution { public: int largestRectangleArea(int* height, int length) { stack<int> stk; int i = 0; int maxArea = 0; while(i < length){ if(stk.empty() || height[stk.top()] <= height[i]){ stk.push(i++); }else { int t = stk.top(); stk.pop(); int area = height[t] * (stk.empty() ? i : i - stk.top() - 1); maxArea = maxArea > area ? maxArea : area; } } return maxArea; } int maximalRectangle(vector<vector<char> > &matrix) { // Start typing your C/C++ solution below // DO NOT write int main() function int m = matrix.size(); if(m == 0)return 0; int n = matrix[0].size(); if(n == 0)return 0; int** dp = new int*[m]; for(int i = 0; i < m; ++i){ dp[i] = new int[n+1]; memset(dp[i], 0, sizeof(int)*(n+1)); } for(int j = 0; j < n; ++j) if(matrix[0][j] == '1')dp[0][j] = 1; for(int j = 0; j < n; ++j) for(int i = 1; i < m; ++i) if(matrix[i][j] == '1') dp[i][j] = dp[i-1][j] + 1; int maxarea = 0; for(int i = 0; i < m; ++i){ int tmp = largestRectangleArea(dp[i],n+1); if(tmp > maxarea) maxarea = tmp; } for(int i = 0; i < m; ++i) delete[] dp[i]; delete[] dp; return maxarea; } };
leetcode || 85、Maximal Rectangle
原文地址:http://blog.csdn.net/hustyangju/article/details/45043309