[LeetCode]#1252. Cells with Odd Values in a Matrix

Fatboy Slim
2 min readApr 19, 2020

Environment: Python 3.7

Key technique: for

Given n and m which are the dimensions of a matrix initialized by zeros and given an array indices where indices[i] = [ri, ci]. For each pair of [ri, ci] you have to increment all cells in row ri and column ci by 1.

Return the number of cells with odd values in the matrix after applying the increment to all indices.

Example 1:

Input: n = 2, m = 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 will be [[1,3,1],[1,3,1]] which contains 6 odd numbers.

Example 2:

Input: n = 2, m = 2, indices = [[1,1],[0,0]]
Output: 0
Explanation: Final matrix = [[2,2],[2,2]]. There is no odd number in the final matrix.

Constraints:

  • 1 <= n <= 50
  • 1 <= m <= 50
  • 1 <= indices.length <= 100
  • 0 <= indices[i][0] < n
  • 0 <= indices[i][1] < m

Analysis:

  1. Greate m x n matrix.
  2. add 1 based on in indices.
  3. Sum all old number.

Solution:

class Solution:
def oddCells(self, n, m, indices):
count=0
matrix=[[0]*m for i in range(n)]
for c in indices:
x,y=c[0],c[1]
for i in range(m):
matrix[x][i]+=1
for j in range(n):
matrix[j][y]+=1
for i in range(n):
for j in range(m):
if matrix[i][j] % 2 !=0:
count+=1
return count

Submitted result:

Lesson learn:

“matrix=[[0]*m for i in range(n)]” is a short method to create m x n matrix.

Reference:

https://blog.csdn.net/CSerwangjun/article/details/103000855

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