Medium
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.
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
class Solution {
fun diagonalSort(mat: Array<IntArray>): Array<IntArray> {
val m = mat.size
val n = mat[0].size
val sorted = Array(m) { IntArray(n) }
for (i in m - 1 downTo 0) {
var iCopy = i
val list: MutableList<Int> = ArrayList()
run {
var j = 0
while (j < n && iCopy < m) {
list.add(mat[iCopy][j])
j++
iCopy++
}
}
list.sort()
iCopy = i
var j = 0
while (j < n && iCopy < m) {
sorted[iCopy][j] = list[j]
j++
iCopy++
}
}
for (j in n - 1 downTo 1) {
var jCopy = j
val list: MutableList<Int> = ArrayList()
run {
var i = 0
while (i < m && jCopy < n) {
list.add(mat[i][jCopy])
i++
jCopy++
}
}
list.sort()
jCopy = j
var i = 0
while (i < m && jCopy < n) {
sorted[i][jCopy] = list[i]
i++
jCopy++
}
}
return sorted
}
}