You are given a 0-indexed m x n binary matrix grid.
A 0-indexed m x n difference matrix diff is created with the following procedure:
ith row be onesRowi.jth column be onesColj.ith row be zerosRowi.jth column be zerosColj.diff[i][j] = onesRowi + onesColj - zerosRowi - zerosColjReturn the difference matrix diff.
Example 1:
Input: grid = [[0,1,1],[1,0,1],[0,0,1]] Output: [[0,0,4],[0,0,4],[-2,-2,2]] Explanation: - diff[0][0] =onesRow0 + onesCol0 - zerosRow0 - zerosCol0= 2 + 1 - 1 - 2 = 0 - diff[0][1] =onesRow0 + onesCol1 - zerosRow0 - zerosCol1= 2 + 1 - 1 - 2 = 0 - diff[0][2] =onesRow0 + onesCol2 - zerosRow0 - zerosCol2= 2 + 3 - 1 - 0 = 4 - diff[1][0] =onesRow1 + onesCol0 - zerosRow1 - zerosCol0= 2 + 1 - 1 - 2 = 0 - diff[1][1] =onesRow1 + onesCol1 - zerosRow1 - zerosCol1= 2 + 1 - 1 - 2 = 0 - diff[1][2] =onesRow1 + onesCol2 - zerosRow1 - zerosCol2= 2 + 3 - 1 - 0 = 4 - diff[2][0] =onesRow2 + onesCol0 - zerosRow2 - zerosCol0= 1 + 1 - 2 - 2 = -2 - diff[2][1] =onesRow2 + onesCol1 - zerosRow2 - zerosCol1= 1 + 1 - 2 - 2 = -2 - diff[2][2] =onesRow2 + onesCol2 - zerosRow2 - zerosCol2= 1 + 3 - 2 - 0 = 2
Example 2:
Input: grid = [[1,1,1],[1,1,1]] Output: [[5,5,5],[5,5,5]] Explanation: - diff[0][0] = onesRow0 + onesCol0 - zerosRow0 - zerosCol0 = 3 + 2 - 0 - 0 = 5 - diff[0][1] = onesRow0 + onesCol1 - zerosRow0 - zerosCol1 = 3 + 2 - 0 - 0 = 5 - diff[0][2] = onesRow0 + onesCol2 - zerosRow0 - zerosCol2 = 3 + 2 - 0 - 0 = 5 - diff[1][0] = onesRow1 + onesCol0 - zerosRow1 - zerosCol0 = 3 + 2 - 0 - 0 = 5 - diff[1][1] = onesRow1 + onesCol1 - zerosRow1 - zerosCol1 = 3 + 2 - 0 - 0 = 5 - diff[1][2] = onesRow1 + onesCol2 - zerosRow1 - zerosCol2 = 3 + 2 - 0 - 0 = 5
Constraints:
m == grid.lengthn == grid[i].length1 <= m, n <= 1051 <= m * n <= 105grid[i][j] is either 0 or 1.