Package g2401_2500.s2482_difference_between_ones_and_zeros_in_row_and_column

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    2482 - Difference Between Ones and Zeros in Row and Column.

    Medium

    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:

    • Let the number of ones in the <code>i<sup>th</sup></code> row be <code>onesRow<sub>i</sub></code>.

    • Let the number of ones in the <code>j<sup>th</sup></code> column be <code>onesCol<sub>j</sub></code>.

    • Let the number of zeros in the <code>i<sup>th</sup></code> row be <code>zerosRow<sub>i</sub></code>.

    • Let the number of zeros in the <code>j<sup>th</sup></code> column be <code>zerosCol<sub>j</sub></code>.

    • <code>diffj = onesRow<sub>i</sub> + onesCol<sub>j</sub> - zerosRow<sub>i</sub> - zerosCol<sub>j</sub></code>

    Return 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:

    • diff0 = <code>onesRow<sub>0</sub> + onesCol<sub>0</sub> - zerosRow<sub>0</sub> - zerosCol<sub>0</sub></code> = 2 + 1 - 1 - 2 = 0

    • diff1 = <code>onesRow<sub>0</sub> + onesCol<sub>1</sub> - zerosRow<sub>0</sub> - zerosCol<sub>1</sub></code> = 2 + 1 - 1 - 2 = 0

    • diff2 = <code>onesRow<sub>0</sub> + onesCol<sub>2</sub> - zerosRow<sub>0</sub> - zerosCol<sub>2</sub></code> = 2 + 3 - 1 - 0 = 4

    • diff0 = <code>onesRow<sub>1</sub> + onesCol<sub>0</sub> - zerosRow<sub>1</sub> - zerosCol<sub>0</sub></code> = 2 + 1 - 1 - 2 = 0

    • diff1 = <code>onesRow<sub>1</sub> + onesCol<sub>1</sub> - zerosRow<sub>1</sub> - zerosCol<sub>1</sub></code> = 2 + 1 - 1 - 2 = 0

    • diff2 = <code>onesRow<sub>1</sub> + onesCol<sub>2</sub> - zerosRow<sub>1</sub> - zerosCol<sub>2</sub></code> = 2 + 3 - 1 - 0 = 4

    • diff0 = <code>onesRow<sub>2</sub> + onesCol<sub>0</sub> - zerosRow<sub>2</sub> - zerosCol<sub>0</sub></code> = 1 + 1 - 2 - 2 = -2

    • diff1 = <code>onesRow<sub>2</sub> + onesCol<sub>1</sub> - zerosRow<sub>2</sub> - zerosCol<sub>1</sub></code> = 1 + 1 - 2 - 2 = -2

    • diff2 = <code>onesRow<sub>2</sub> + onesCol<sub>2</sub> - zerosRow<sub>2</sub> - zerosCol<sub>2</sub></code> = 1 + 3 - 2 - 0 = 2

    Example 2:

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

    Output: [5,5,5,5,5,5]

    Explanation:

    • diff0 = onesRow<sub>0</sub> + onesCol<sub>0</sub> - zerosRow<sub>0</sub> - zerosCol<sub>0</sub> = 3 + 2 - 0 - 0 = 5

    • diff1 = onesRow<sub>0</sub> + onesCol<sub>1</sub> - zerosRow<sub>0</sub> - zerosCol<sub>1</sub> = 3 + 2 - 0 - 0 = 5

    • diff2 = onesRow<sub>0</sub> + onesCol<sub>2</sub> - zerosRow<sub>0</sub> - zerosCol<sub>2</sub> = 3 + 2 - 0 - 0 = 5

    • diff0 = onesRow<sub>1</sub> + onesCol<sub>0</sub> - zerosRow<sub>1</sub> - zerosCol<sub>0</sub> = 3 + 2 - 0 - 0 = 5

    • diff1 = onesRow<sub>1</sub> + onesCol<sub>1</sub> - zerosRow<sub>1</sub> - zerosCol<sub>1</sub> = 3 + 2 - 0 - 0 = 5

    • diff2 = onesRow<sub>1</sub> + onesCol<sub>2</sub> - zerosRow<sub>1</sub> - zerosCol<sub>2</sub> = 3 + 2 - 0 - 0 = 5

    Constraints:

    • m == grid.length

    • n == grid[i].length

    • <code>1 <= m, n <= 10<sup>5</sup></code>

    • <code>1 <= m * n <= 10<sup>5</sup></code>

    • grid[i][j] is either 0 or 1.

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Array<IntArray> onesMinusZeros(Array<IntArray> grid)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait