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.
- Convert the resulting digit to a capital letter, where A = 1, B = 2, etc.

*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 on if the number generates the same checksum letter as supplied or not.

Sample Input:

```
123456 C
123456 A
100000 A
111111 F
111114 I
```

Sample Output:

```
match
error
match
match
match
```