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hacker rank problems - Coggle Diagram

- - - - range of ints is 1 to nsquare
      - NO repetitions
      - some digits which have not been used in the original matrix must be included
    - - any row
      - any column
      - diagonal
        
        doubt
        
        principal only
        
        or like ensuring principal and the rows and columns automatically makes the other diagonal
      - which number that is not given
        
        we can certainly eliminate certain possibilities
  - - - cost is incurred while changing the digits
        
        a is changed to b then cost mod(a-b)
  - - - will determine what has to be changed
        
        will determine the cost
      - it could be that we select the sum of a row or a column or a diagonal which has unique elements
        
        this may not work if none of the triples are made of distinct elements
      - fixed 3x3 sum 15
    - - why
        
        because all the elements in the resulting magic square have to be distinct
        
        implies that we have to certainly remove repetitions