Correct Solution?

One cold winter evening Alice and her older brother Bob was sitting at home near the fireplace and giving each other interesting problems to solve. When it was Alice's turn, she told the number n to Bob and said:

—Shuffle the digits in this number in order to obtain the smallest possible number without leading zeroes.

—No problem! — said Bob and immediately gave her an answer.

Alice said a random number, so she doesn't know whether Bob's answer is correct. Help her to find this out, because impatient brother is waiting for the verdict.

Input

The first line contains one integer n (0 ≤ n ≤ 109) without leading zeroes. The second lines contains one integer m (0 ≤ m ≤ 109) — Bob's answer, possibly with leading zeroes.

Output

Print OK if Bob's answer is correct and WRONG_ANSWER otherwise.

Examples

Input

3310 1033

Output

OK

Input

4 5

Output

WRONG_ANSWER

inputFormat

Input

The first line contains one integer n (0 ≤ n ≤ 109) without leading zeroes. The second lines contains one integer m (0 ≤ m ≤ 109) — Bob's answer, possibly with leading zeroes.

outputFormat

Output

Print OK if Bob's answer is correct and WRONG_ANSWER otherwise.

Examples

Input

3310 1033

Output

OK

Input

4 5

Output

WRONG_ANSWER

样例

3310
1033

OK

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