You are given an $m \times n$ binary matrix image, where $0$ represents a white pixel and $1$ represents a black pixel.

All black pixels in the matrix form a single connected region, where connectivity is defined by horizontal or vertical adjacency.

Given two integers x and y that represent the coordinates of one of the black pixels, write an algorithm to find the area of the smallest axis-aligned rectangle that encloses all the black pixels.

Note: Your solution must have a runtime complexity less than $O(m \times n)$.

Constraints:

• $m$ $==$ image.length

• $n$ == image[i].length

• $1\le m,n\le 100$ ...