A positive integer X is said to be a lunlun number if and only if the following condition is satisfied:

• In the base ten representation of X (without leading zeros), for every pair of two adjacent digits, the absolute difference of those digits is at most 1.

For example, 1234, 1, and 334 are lunlun numbers, while none of 31415, 119, or 13579 is.

You are given a positive integer K. Find the K-th smallest lunlun number.

Constraints

• $1 \leq K \leq 10^5$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

K

Output

Print the answer.

Examples

Input

15

Output

23

Input

1

Output

1

Input

13

Output

21

Input

100000

Output

3234566667

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