523. Password Decoder

0

Medium

Given an encoded string s, Manu needs to decode it to a tape by following these steps: 1. Read the encoded string one character at a time. 2. If the character is a letter, write it onto the tape. 3. If the character is a digit d, write the entire current tape d - 1 more times in total.
Manu wants to find the kth letter (1-indexed) in the decoded string. Help Manu by returning the desired letter.

Input Format

The first line contains a string.
The second line contains an integer k.

Output Format

Print the kth letter (1-indexed) in the decoded string.

Example

Input

leet2code3 10

Output

o

Constraints

2 <= s.length <= 100
s consists of lowercase English letters and digits 2 through 9.
s starts with a letter.
1 <= k <= 109
It is guaranteed that k is less than or equal to the length of the decoded string.
The decoded string is guaranteed to have less than 263 letters.
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