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Maximum Side Length of a Square with Sum Less than or Equal to Threshold

Given a m x n matrix mat and an integer threshold, return the maximum side-length of a square with a sum less than or equal to threshold or return 0 if there is no such square.

Given a m x n matrix mat and an integer threshold, return the maximum side-length of a square with a sum less than or equal to threshold or return 0 if there is no such square.

Maximum Side Length of a Square with Sum Less than or Equal to Threshold diagram

Example 1

Input: mat = [[1,1,3,2,4,3,2],[1,1,3,2,4,3,2],[1,1,3,2,4,3,2]], threshold = 4

Output: 2

Explanation: The maximum side length of square with sum less than 4 is 2 as shown.

Example 2

Input: mat = [[2,2,2,2,2],[2,2,2,2,2],[2,2,2,2,2],[2,2,2,2,2],[2,2,2,2,2]], threshold = 1

Output: 0

Constraints

  • m == mat.length
  • n == mat[i].length
  • 1 <= m, n <= 300
  • 0 <= mat[i][j] <= 10^4
  • 0 <= threshold <= 10^5

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