P402812 - GYM100886 G Maximum Product - SSOJ - 省实信息奥赛评测系统

Memory Limit：0 MB Time Limit：1 S

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G. Maximum Producttime limit per test1 secondmemory limit per test256 mebibytesinputstandard inputoutputstandard output

Find the number from the range [a, b] which has the maximum product of the digits.

Input

The first line contains two positive integers a and b (1 ≤ a ≤ b ≤ 10¹⁸): the left and the right ends of the range.

Output

Print the number with the maximum product of the digits from the range [a, b]. If there are several possible answers, print any one of them.

ExamplesInput

1 10

Output

Input

51 62

Output

402812: GYM100886 G Maximum Product