- There will be n+1 lines in the input
- The first n lines represent the partially filled input board, and the last line represents the expected quadrant sums
- Each of the first n lines has n space seperated integers which can be from 0-n*n representing a row of the partially filled board
- The last line has (n-1)*(n-1) space seperated integers representing the intended sum of each of the (n-1)*(n-1) 2x2 qudrants in the row major order.