toinfinity

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:

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

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.

Sample Input 1

1214
4

Sample Output 1

2

The string S changes as follows:

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

Sample Input 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

Sample Output 3

2