85. The largest rectangle
Given a two-dimensional binary matrix contains only 0 and 1, to find the largest rectangular contain only 1, and returns its area.
Example:
Input:
[
[ "1", "0", "1", "0", "0"],
[ "1", "0", "1", "1", "1"],
[ "1 "," 1 "," 1 "," 1 "," 1 "],
[" 1 "," 0 "," 0 "," 1 "," 0 "]
]
output: 6
PS:
monotonically method to solve the stack (the same 84)
class Solution {
public int maximalRectangle(char[][] matrix) {
if (matrix == null || matrix.length == 0 || matrix[0].length == 0) return 0;
int[] height = new int[matrix[0].length];
int globalmax = 0;
for (int i = 0; i < matrix.length; i++){
for (int j = 0; j < matrix[0].length; j++){
if (matrix[i][j] == '0') height[j] = 0;
else height[j]++;
}
globalmax = Math.max(globalmax, maxrow(height));
}
return globalmax;
}
public int maxrow(int[] height){
Stack<Integer> st = new Stack<>();
int localmax = 0;
for (int i = 0; i <= height.length; i++){
int h = (i == height.length)? 0 : height[i];
while (!st.isEmpty() && height[st.peek()] >= h){
int maxheight = height[st.pop()];
int area = st.isEmpty()? i * maxheight : maxheight * (i - st.peek() -1);
localmax = Math.max(localmax, area);
}
st.push(i);
}
return localmax;
}
}