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Sum Sudoku

Here are the rules of sum Sudoku:

  • Each and every column, row, and 2×22\times2 box contains distinct numbers from 1 to 4.
  • The white circle marked at four adjacent cells indicate that the sum of upper-left and bottom-right cells is the sum of upper-right and bottom-left cells.

What can we conclude about the circle sums in the puzzle?

The setup in the top-left box is valid since 2+3=1+4=52 + 3 = 1 + 4 = 5. However, the four cell values at the center are invalid since 4+23+14 + 2 \neq 3 + 1.


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