Problem Statement

Mr. AtCoder reads in the newspaper that today's lucky number is a positive integer A and tomorrow's is a positive integer B.
Here, he defines a positive integer x that satisfies both of the following conditions as a super-lucky number.

• The decimal notation of x contains A as a contiguous substring.
• The decimal notation of 2x contains B as a contiguous substring.

Actually, under the Constraints of this problem, there is always a super-lucky number less than 10^{18}. Find one such number.

Input

Input is given from Standard Input in the following format:
A
B

Output

Print one super-lucky number less than 10^{18}. If multiple solutions exist, you may print any of them.

Constraints

• $1 \leq A < 10^8$
• $1 \leq B < 10^8$
• A and B have no leading 0s.
• All values in input are integers.

Sample Input 1

13
62

Sample Output 1

131

One super-lucky number is x = 131, because:

• x = 131 contains 13 as a substring. (1-st through 2-nd characters)
• 2x = 262 contains 62 as a substring. (2-nd through 3-rd characters)

Some other super-lucky numbers are 313, 8135, and 135797531, which would also be accepted.

Sample Input 2

69120
824

Sample Output 2

869120

One super-lucky number is x = 869120, because:

• x = 869120 contains 69120 as a substring. (2-nd through 6-th characters)
• 2x = 1738240 contains 824 as a substring. (4-th through 6-th characters)

The smallest super-lucky number is 69120, but note that any lucky number with at most 18 digits would be accepted.

Sample Input 3

6283185
12566370

Sample Output 3

6283185

When x = 6283185, x is A itself, and 2x is B itself. In such a case too, x is a super-lucky number.

见题面 Input 部分

见题面 Output 部分