Let's write all the positive integer numbers one after another from 1 without any delimiters (i.e. as a single string). It will be the infinite sequence starting with 123456789101112131415161718192021222324252627282930313233343536...

Your task is to print the k-th digit of this sequence.

Input

The first and only line contains integer k (1 ≤ k ≤ 10000) — the position to process (1-based index).

Output

Print the k-th digit of the resulting infinite sequence.

Examples

Input


7


Output


7


Input


21


Output


5
import sys
import math
import bisect

def main():
    val = 0
    A = []
    for i in range(1, 10000 + 1):
        s = str(i)
        A.append(s)
        val += len(s)
        if val >= 10000:
            break
    s = ''.join(list(str(a) for a in A))
    n = int(input())
    print(s[n-1])

if __name__ == "__main__":
    main()
