An ISBN-13 code, a new version of ISBN-10, is another example of a weighted checksum with 13 digits, in which there are 12 decimal digits defining the book and the last digit is the checksum digit. The code, D₁D₂D₃D₄D₅D₆D₇D₈D₉D₁₀D₁₁D₁₂C, satisfies the following.

In other words, the weights are 1 and 3 alternately. Using the above description, calculate the check digit for ISBN-13: 978-0-07-296775-C.

[(1 D1) + (3 D2) + (1 D3) + . . . + (3 D12) + (1 C)] mod 10 = 0