Problem:
﻿Score: 300 points

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?

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.

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

Solution in PyPy3 (2.4.0) (judge verdict: Runtime Error)

from __future__ import print_function

import sys

import re
import array
import copy
import functools
import operator

import math
import string
import fractions
from fractions import Fraction
from fractions import gcd
# fractions.gcd() を用いること
# math.log2()はatcoderでは対応していない．留意せよ．

import collections
import itertools
import bisect

import random
import time

import heapq
from heapq import heappush
from heapq import heappop
from heapq import heappushpop
from heapq import heapify
from heapq import heapreplace
from queue import PriorityQueue as pq
from queue import Queue

from itertools import accumulate

from collections import deque
from collections import Counter

from operator import mul
from functools import reduce

input = sys.stdin.readline


def eprint(*args, **kwargs):
    print(*args, file=sys.stderr, **kwargs)
    return


def lcm(n, m):
    return int(n * m / gcd(n, m))


def coprimize(p, q):
    common = fractions.gcd(p, q)
    return (p // common, q // common)


def combinations_count(n, r):
    r = min(r, n - r)
    numer = reduce(mul, range(n, n - r, -1), 1)
    denom = reduce(mul, range(1, r + 1), 1)
    return numer // denom


def find_gcd(list_l):
    x = reduce(gcd, list_l)
    return x


def main():
    S = input().strip()
    n = int(input().strip()) - 1
    m=0
    for i in range(len(S)):
        if S[i] != '1':
            m = i
            s = S[i]
            break
    if n < m:
        print("1")
        return
    else:
        print(s)
        return


if __name__ == '__main__':
    main()