Cryptogram Cracking Club

문제

Cyrene, the captain of the Cryptogram Cracking Club (CCC), came across a concerningly long cipher. Conveniently, this cipher is composed of lower-case characters (a-z). Comfortingly, the cipher is composed of a pattern that repeats infinitely.

Cyrene wishes to locate the $cc$-th character of the cipher. To make your job easier, the CCC members have extracted the repeated pattern and compressed it using the Run-Length Encoding (RLE) algorithm, which replaces consecutive repeated characters with a single occurrence of the character followed by a count of how many times it was repeated. For example, for the pattern aaaabccdddd, the RLE algorithm outputs a4b1c2d4.

You are given the output of the RLE algorithm for a certain pattern. Can you determine the $cc$-th character of the long cipher that is formed by repeating this pattern infinitely?

입력

The first line of input will consist of a string $SS$, representing a pattern produced by the RLE algorithm. The length of $SS$ will be at least $22$ and at most $2\cdot {10}^{5}2\; \backslash cdot\; 10^5$. Additionally, all numbers appearing in $SS$ are between $11$ and ${10}^{12}10^\{12\}$.

The next line of input contains a single integer $cc$ (0 ≤ c ≤ 10^{12}), representing the index of the character you wish to locate, starting from index 0$.

출력

Output the $cc$-th character of the long cipher.