Given a rows x cols
matrix mat
, where mat[i][j]
is either 0
or 1
, return 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:
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:
Input: mat = [[1,0,0], [0,1,0], [0,0,1]] Output: 3 Explanation: (0,0), (1,1) and (2,2) are special positions.
Example 3:
Input: mat = [[0,0,0,1], [1,0,0,0], [0,1,1,0], [0,0,0,0]] Output: 2
Example 4:
Input: mat = [[0,0,0,0,0], [1,0,0,0,0], [0,1,0,0,0], [0,0,1,0,0], [0,0,0,1,1]] Output: 3
Constraints:
rows == mat.length
cols == mat[i].length
1 <= rows, cols <= 100
mat[i][j]
is0
or1
.