Sort the Matrix Diagonally

arraysortingmatrix

Problem Statement

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. For example, the matrix diagonal starting from mat[2][0] , where mat is a 6 x 3 matrix, includes cells mat[2][0] , mat[3][1] , and mat[4][2] .

Given an m x n matrix mat of integers, sort each matrix diagonal in ascending order and return the resulting matrix .

Examples

Example 1

Input: mat = [[3,3,1,1],[2,2,1,2],[1,1,1,2]]
Output: [[1,1,1,1],[1,2,2,2],[1,2,3,3]]

Example 2

Input: mat = [[11,25,66,1,69,7],[23,55,17,45,15,52],[75,31,36,44,58,8],[22,27,33,25,68,4],[84,28,14,11,5,50]]
Output: [[5,17,4,1,52,7],[11,11,25,45,8,69],[14,23,25,44,58,15],[22,27,31,36,50,66],[84,28,75,33,55,68]]

Constraints

m == mat.length

n == mat[i].length

1 <= m, n <= 100

1 <= mat[i][j] <= 100

🤔

Medium

Difficulty

Topic Info

ModuleDSA

CategoryArray

Sub-topicSorting