Package g2701_2800.s2711_difference_of_number_of_distinct_values_on_diagonals

Class Solution

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public final class Solution

    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 <code>(r<sub>1</sub>, c<sub>1</sub>)</code> belongs to the top-left diagonal of the cell (r, c), if both belong to the same diagonal and <code>r<sub>1</sub>< r</code>. 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 1<sup>st</sup> diagram denotes the initial grid.

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

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

    The 4<sup>th</sup> 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 &lt;= m, n, grid[i][j] &lt;= 50

    • 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> differenceOfDistinctValues(Array<IntArray> grid)

      • Methods inherited from class java.lang.Object

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