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 Rust (1.15.1) (judge verdict: Accepted)

use std::io;
use std::str::FromStr;

fn main() {
    let s = getline();
    let k = read();
    let ss : Vec<char> = s.chars().collect();
    for i in 0..(std::cmp::min(k, s.len())) {
        if ss[i] != '1' {
            println!("{}", ss[i]);
            return
        }
    }
    println!("{}", 1);
}



#[allow(dead_code)]
fn getline() -> String {
    let mut ln = String::new();
    io::stdin().read_line(&mut ln).ok();
    ln.trim().to_string()
}

#[allow(dead_code)]
fn read<T>() -> T where T : FromStr {
    let mut ln = String::new();
    io::stdin().read_line(&mut ln).ok();
    ln.trim().parse().ok().unwrap()
}

#[allow(dead_code)]
fn reads<T>() -> Vec<T> where T : FromStr {
    let mut ln = String::new();
    io::stdin().read_line(&mut ln).ok();
    ln.trim().split_whitespace().map(|x| x.parse().ok().unwrap()).collect()
}