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Largest 1-Bordered Square

Given a 2D grid of 0s and 1s, return the number of elements in the largest square subgrid that has all 1s on its border, or 0 if such a subgrid doesn't exist in the grid.

Given a 2D grid of 0s and 1s, return the number of elements in the largest square subgrid that has all 1s on its border, or 0 if such a subgrid doesn't exist in the grid.

Largest 1-Bordered Square diagram

Example 1

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

Output: 9

Example 2

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

Output: 1

Constraints

  • 1 <= grid.length <= 100
  • 1 <= grid[0].length <= 100
  • grid[i][j] is 0 or 1

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