Check if sums of i-th row and i-th column are same in matrix in Python

Suppose we have a 2D matrix. We have to check whether the sum of i-th row is same as the sum of i-th column or not.

So, if the input is like

then the output will be True, as the sum of first row and column is (2 + 3 + 4 + 5) = 14 and (2 + 10 + 1 + 1) = 14.

To solve this, we will follow these steps −

• row := row count of mat
• col := column count of mat
• total_row := 0, total_col := 0
• for i in range 0 to row - 1, do
  • total_row := 0, total_col := 0
  • for j in range 0 to col - 1, do
    • total_row := total_row + mat[i, j]
    • total_col := total_col + mat[j, i]
  • if total_row is same as total_col, then
    • return True
• return False

Let us see the following implementation to get better understanding −

Example Code

Live Demo

def solve(mat):
   row = len(mat)
   col = len(mat[0])
   total_row = 0
   total_col = 0
   for i in range(row):
      total_row = 0
      total_col = 0
      for j in range(col):
         total_row += mat[i][j]
         total_col += mat[j][i]
       
      if total_row == total_col:
         return True
     
   return False
 
matrix = [
   [2,3,4,5],
   [10,6,4,2],
   [1,4,6,7],
    [1,5,6,7]
]
     
print(solve(matrix))

Input

[    
[1,2,3,4],     
[9,5,3,1],     
[0,3,5,6],    
[0,4,5,6]
]

Output

True