Score : $300$ points

Problem Statement

Among the positive integers that consist of $0$'s and $2$'s when written in base $10$, find the $K$-th smallest integer.

Constraints

• $K$ is an integer between $1$ and $10^{18}$ (inclusive).

Input

Input is given from Standard Input in the following format:

$K$

Output

Print the answer as an integer. Here, the exact value must be printed as an integer, even if it is big. Exponential notations such as 2.34e+22, for example, or unnecessary leading zeros such as 0523 are not allowed.

3

22

The positive integers that consist of $0$'s and $2$'s when written in base $10$ are $2,20,22,\dots$ in ascending order. The $(K=)$ $3$-rd of them, which is $22$, should be printed.

11

2022

923423423420220108

220022020000202020002022022000002020002222002200002022002200

Note that the exact value of the answer must be printed as an integer, even if it is big.