In the ISBN-10 (International Standard Book Numbering) system that was used until the end of 2006, each book is assigned a unique 10-digit code. The first nine digits uniquely identify the book itself, whereas the last digit merely serves as a check digit to detect invalid ISBN-10 codes.

If $$x_1, \ldots, x_9$$ represent the first nine digits of an ISBN-10 code, the check digit $$x_{10}$$ is computed as \[x_{10} = (x_1 + 2x_2 + 3x_3 + 4x_4 + 5x_5 + 6x_6 + 7x_7 + 8x_8 + 9x_9)\!\!\!\!\mod{11}\] As a result, $$x_{10}$$ always takes a value in between 0 and 10.

Assignment

Check whether a given series of ten digits corresponds to a valid ISBN-10 code.

Input

Ten digits $$x_1, \ldots, x_{10}$$ ($$0 \leq x_1, \ldots, x_{10} \leq 9$$), each on a separate line.

Output

The word OK if the given digits correspond to a valid ISBN-10 code, otherwise the word WRONG.

Example

Input:

9
9
7
1
5
0
2
1
0
0

Output:

OK

Example

Input:

9
9
7
1
5
0
2
1
0
8

Output:

WRONG