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 $x_1,\dots ,x_9$ represent the first nine digits of an ISBN-10 code, the check digit $x_{10}$ is computed as $$x_{10}=(x_1+2x_2+3x_3+4x_4+5x_5+6x_6+7x_7+8x_8+9x_9)\mathrm{mod}11$$ 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 $x_1,\dots ,x_{10}$ ($0\le x_1,\dots ,x_{10}\le 9$), 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