A checksum is a type of simple error detection scheme, meant to catch incorrectly entered data such as typos. Credit cards, for example, use the **Luhn algorithm** to generate account numbers. Alternatively, a checksum could be a digit appended to the end of a number that needs to be later validated.

A super-simple scheme used to validate **6-digit** student numbers is as follows:

- Break the number up into 6 digits.
- Add up all the digits together to get a new number.
- Repeat the process until the result is only a single digit.
- Match the resulting digit to the capital letter of alphabet, in that position.

*Example*

123456 1+2+3+4+5+6 = 21 2+1 = 3 3 = C

The input file **DATA2.txt** will contain 5 lines, each being a 6-digit positive integer followed by a space and a capital letter. Numbers will not have leading zeros, and thus digits will never add up to 0.

The output file **OUT2.txt** will contain 5 lines, stating **match** or **error**, depending if the number generates the same checksum letter as supplied or not.

123456 C 123456 A 100000 A 111111 F 111114 I

match error match match match