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Special Positions in a Binary Matrix

Easy

Given an m x n binary matrix mat , produce the number of special positions in mat .

A position (i, j) is called special if mat[i][j] == 1 and all other elements in row i and column j are 0 (rows and columns are 0-indexed ).

Example 1

Original illustrative diagram 1 for Special Positions in a Binary Matrix

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

Output: 1

Explanation: (1, 2) is a special position because mat[1][2] == 1 and all other elements in row 1 and column 2 are 0.

Example 2

Original illustrative diagram 2 for Special Positions in a Binary Matrix

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

Output: 3

Explanation: (0, 0), (1, 1) and (2, 2) are special positions.

Constraints

  • m == mat.length
  • n == mat[i].length
  • 1 <= m, n <= 100
  • mat[i][j] is either 0 or 1 .

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