### Problem Statement

Mr. Infinity has a string S consisting of digits from `1` to `9`. Each time the date changes, this string changes as follows:

• Each occurrence of `2` in S is replaced with `22`. Similarly, each `3` becomes `333`, `4` becomes `4444`, `5` becomes `55555`, `6` becomes `666666`, `7` becomes `7777777`, `8` becomes `88888888` and `9` becomes `999999999`. `1` remains as `1`.

For example, if S is `1324`, it becomes `1333224444` the next day, and it becomes `133333333322224444444444444444` the day after next. You are interested in what the string looks like after 5 × 1015 days. What is the K-th character from the left in the string after 5 × 1015 days?

### Constraints

• S is a string of length between 1 and 100 (inclusive).
• K is an integer between 1 and 1018 (inclusive).
• The length of the string after 5 × 1015 days is at least K.

### Input

Input is given from Standard Input in the following format:

```S
K
```

### Output

Print the K-th character from the left in Mr. Infinity's string after 5 × 1015 days.

```1214
4
```

### Sample Output 1

```2
```

The string S changes as follows:

• Now: `1214`
• After one day: `12214444`
• After two days: `1222214444444444444444`
• After three days: `12222222214444444444444444444444444444444444444444444444444444444444444444`

The first five characters in the string after 5 × 1015 days is `12222`. As K=4, we should print the fourth character, `2`.

```3
157
```

### Sample Output 2

```3
```

The initial string is `3`. The string after 5 × 1015 days consists only of `3`.

### Sample Input 3

```299792458
9460730472580800
```

```2
```