102342: [AtCoder]ABC234 C - Happy New Year!

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.

Sample Input 1

3

Sample Output 1

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.

Sample Input 2

11

Sample Output 2

2022

Sample Input 3

923423423420220108

Sample Output 3

220022020000202020002022022000002020002222002200002022002200

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

问题描述

当用十进制表示时，找出由0和2组成的正整数中的第K小的数。

限制条件

• K是一个在1到10¹⁸（含）之间的整数。

输入

输入从标准输入按以下格式给出：

$K$

输出

将答案作为一个整数打印出来。
即使数值很大，也要精确地以整数形式打印。不允许使用如2.34e+22这样的指数表示法，或者如0523这样的不必要的前导零。

样例输入1

3

样例输出1

22

当用十进制表示时，由0和2组成的正整数按升序排列为$2,20,22,\dots$。
其中的第$(K=)$ 3个数，即$22$，应该被打印出来。

样例输入2

11

样例输出2

2022

样例输入3

923423423420220108

样例输出3

220022020000202020002022022000002020002222002200002022002200

请注意，即使数值很大，也要精确地以整数形式打印出答案。