find-the-minimum-area-to-cover-all-ones-i

find-the-minimum-area-to-cover-all-ones-i


You are given a 2D binary array grid. Find a rectangle with horizontal and vertical sides with the smallest area, such that all the 1's in grid lie inside this rectangle.



Return the minimum possible area of the rectangle.



 


Example 1:




Input: grid = [[0,1,0],[1,0,1]]



Output: 6



Explanation:





The smallest rectangle has a height of 2 and a width of 3, so it has an area of 2 * 3 = 6.




Example 2:




Input: grid = [[1,0],[0,0]]



Output: 1



Explanation:





The smallest rectangle has both height and width 1, so its area is 1 * 1 = 1.




 


Constraints:




  • 1 <= grid.length, grid[i].length <= 1000

  • grid[i][j] is either 0 or 1.

  • The input is generated such that there is at least one 1 in grid.


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