0302. Smallest Rectangle Enclosing Black Pixels

https://leetcode.com/problems/smallest-rectangle-enclosing-black-pixels

Description

You are given an m x n binary matrix image where 0 represents a white pixel and 1 represents a black pixel.

The black pixels are connected (i.e., there is only one black region). Pixels are connected horizontally and vertically.

Given two integers x and y that represents the location of one of the black pixels, return the area of the smallest (axis-aligned) rectangle that encloses all black pixels.

You must write an algorithm with less than O(mn) runtime complexity

Example 1:

**Input:** image = [["0","0","1","0"],["0","1","1","0"],["0","1","0","0"]], x = 0, y = 2
**Output:** 6

Example 2:

**Input:** image = [["1"]], x = 0, y = 0
**Output:** 1

Constraints:

  • m == image.length

  • n == image[i].length

  • 1 <= m, n <= 100

  • image[i][j] is either '0' or '1'.

  • 1 <= x < m

  • 1 <= y < n

  • image[x][y] == '1'.

  • The black pixels in the image only form one component.

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