To Infinity

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?

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.

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.

Examples

Input

1214 4

Output

2

Input

3 157

Output

3

Input

299792458 9460730472580800

Output

2

inputFormat

Input

Input is given from Standard Input in the following format:

S K

outputFormat

Output

Print the K-th character from the left in Mr. Infinity's string after 5 \times 10^{15} days.

Examples

Input

1214 4

Output

2

Input

3 157

Output

3

Input

299792458 9460730472580800

Output

2

样例

299792458
9460730472580800

2