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 $5 \times 10^{15}$ days. What is the K-th character from the left in the string after $5 \times 10^{15}$ days?

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'$s string after 5 \times 10^{15}$ days.

Constraints

• S is a string of length between 1 and 100 (inclusive).
• K is an integer between 1 and 10^{18} (inclusive).
• The length of the string after $5 \times 10^{15}$ days is at least K.

Sample Input 1

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 $5 \times 10^{15}$ 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 $5 \times 10^{15}$ days consists only of 3.

Sample Input 3

299792458
9460730472580800

Sample Output 3

2

见题面 Input 部分

见题面 Output 部分