Normal sudoku rules apply. (ie Place the digits 1-9 once each in every row, column, and 3x3 box). The 3x3 box borders divide each blue line into segments. The digits on each segment of the same line must sum to the same total. (Eg r2c6+r3c6=r4c7+r4c8+r4c9). The digits along each line must sum to a unique number, and the sums of these lines must form a set of consecutive numbers.