[Coding Challenge] Special Elements in Matrix

This coding challenge was asked in Goldman Sachs coding round.

Problem Statement:

Given a matrix of size m*n, m denotes the row starting with index 0 and n denotes the column starting with index 0.

The matrix will hold distinct integers as elements.

We need to find a distinct number of positional elements which are either the minimum or maximum in their corresponding row or column.

Please return -1 if any row or any column has multiple minimum or maximum elements.

For example, given a matrix of size 3*3, the elements are stored as follows.

1  3  4
5  2  9
8  7  6

The expected output is 7.

In the above example, we identified the output as 7 based on below.

1 - minimum in row and column
4 - Maximum in row
2 - Minimum in column and row
9 - Maximum in row and column
8 - Maximum in row and column
7 - Maximum in column
6 - Minimum in row

Input:

m - integer - number of rows
n - integer - number of columns
m * n matrix

Output:

r - integer - result

Constraints:

0<m,n<100
Elements in the matrix are positive integers.

Programming Solution in Python:

import math
import os
import random
import re
import sys
 
# Complete the countSpecialElements function below.
 
def countSpecialElements(matrix):
  nRows= len(matrix)
  nCount=0
 
  for row in matrix:
    for indexCol, element in enumerate(row):
 
      if element==min(row) or element==max(row):
        if row.count(element)>1:
          return -1
        nCount=nCount+1
 
      else:
        listColumn=[]
 
        for indexRow in range(0, nRows):
          listColumn.append(matrix[indexRow][indexCol])
 
        if element==min(listColumn) or element==max(listColumn):
          if listColumn.count(element)>1:
            return -1
          nCount=nCount+1

  return nCount
 
if __name__ == '__main__':
  nCount = countSpecialElements([[1, 3, 4],[5, 2, 9],[8, 7, 6]])
  print(nCount)

Output:

7

In Python, matrix elements are stored as a nested list. To solve this kind of problem, you should have a good understanding of the list and its methods.

If you are solving this coding question in a competitive test round, consider all boundary cases.

There was one more question was asked in Goldman Sachs coding round- Secure My Conversation.