Easy
There is an m x n
matrix that is initialized to all 0
’s. There is also a 2D array indices
where each indices[i] = [ri, ci]
represents a 0-indexed location to perform some increment operations on the matrix.
For each location indices[i]
, do both of the following:
ri
.ci
.Given m
, n
, and indices
, return the number of odd-valued cells in the matrix after applying the increment to all locations in indices
.
Example 1:
Input: m = 2, n = 3, indices = [[0,1],[1,1]]
Output: 6
Explanation: Initial matrix = [[0,0,0],[0,0,0]].
After applying first increment it becomes [[1,2,1],[0,1,0]].
The final matrix is [[1,3,1],[1,3,1]], which contains 6 odd numbers.
Example 2:
Input: m = 2, n = 2, indices = [[1,1],[0,0]]
Output: 0
Explanation: Final matrix = [[2,2],[2,2]]. There are no odd numbers in the final matrix.
Constraints:
1 <= m, n <= 50
1 <= indices.length <= 100
0 <= ri < m
0 <= ci < n
Follow up: Could you solve this in O(n + m + indices.length)
time with only O(n + m)
extra space?
class Solution {
fun oddCells(n: Int, m: Int, indices: Array<IntArray>): Int {
val matrix = Array(n) { IntArray(m) }
for (index in indices) {
addOneToRow(matrix, index[0])
addOneToColumn(matrix, index[1])
}
var oddNumberCount = 0
for (ints in matrix) {
for (j in matrix[0].indices) {
if (ints[j] % 2 != 0) {
oddNumberCount++
}
}
}
return oddNumberCount
}
private fun addOneToColumn(matrix: Array<IntArray>, columnIndex: Int) {
for (i in matrix.indices) {
matrix[i][columnIndex] += 1
}
}
private fun addOneToRow(matrix: Array<IntArray>, rowIndex: Int) {
for (j in matrix[0].indices) {
matrix[rowIndex][j] += 1
}
}
}