Package g2701_2800.s2711_difference_of_number_of_distinct_values_on_diagonals

Class Solution

java.lang.Object
g2701_2800.s2711_difference_of_number_of_distinct_values_on_diagonals.Solution
public class Solution extends java.lang.Object
2711 - Difference of Number of Distinct Values on Diagonals.

Medium

Given a 0-indexed 2D grid of size m x n, you should find the matrix answer of size m x n.

The value of each cell (r, c) of the matrix answer is calculated in the following way:

  • Let topLeft[r][c] be the number of distinct values in the top-left diagonal of the cell (r, c) in the matrix grid.
  • Let bottomRight[r][c] be the number of distinct values in the bottom-right diagonal of the cell (r, c) in the matrix grid.

Then answer[r][c] = |topLeft[r][c] - bottomRight[r][c]|.

Return the matrix answer.

A matrix diagonal is a diagonal line of cells starting from some cell in either the topmost row or leftmost column and going in the bottom-right direction until reaching the matrix’s end.

A cell (r1, c1) belongs to the top-left diagonal of the cell (r, c), if both belong to the same diagonal and r1 < r. Similarly is defined bottom-right diagonal.

Example 1:

Input: grid = [[1,2,3],[3,1,5],[3,2,1]]

Output: [[1,1,0],[1,0,1],[0,1,1]]

Explanation:

The 1st diagram denotes the initial grid.

The 2nd diagram denotes a grid for cell (0,0), where blue-colored cells are cells on its bottom-right diagonal.

The 3rd diagram denotes a grid for cell (1,2), where red-colored cells are cells on its top-left diagonal.

The 4th diagram denotes a grid for cell (1,1), where blue-colored cells are cells on its bottom-right diagonal and red-colored cells are cells on its top-left diagonal.

  • The cell (0,0) contains [1,1] on its bottom-right diagonal and [] on its top-left diagonal. The answer is |1 - 0| = 1.
  • The cell (1,2) contains [] on its bottom-right diagonal and [2] on its top-left diagonal. The answer is |0 - 1| = 1.
  • The cell (1,1) contains [1] on its bottom-right diagonal and [1] on its top-left diagonal. The answer is |1 - 1| = 0.

The answers of other cells are similarly calculated.

Example 2:

Input: grid = [[1]]

Output: 0

Explanation: - The cell (0,0) contains [] on its bottom-right diagonal and [] on its top-left diagonal. The answer is |0 - 0| = 0.

Constraints:

  • m == grid.length
  • n == grid[i].length
  • 1 <= m, n, grid[i][j] <= 50

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int[][]
    differenceOfDistinctValues(int[][] grid)
     

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • differenceOfDistinctValues

      public int[][] differenceOfDistinctValues(int[][] grid)