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
def f(n):
    kakn = 9
    n-=1
    chisl = 1
    while kakn < n:
        kakn+=((9*10**chisl)*(chisl+1))
        chisl+=1
        if n-kakn == 2:
            return 0
    t=kakn-((9*10**(chisl-1)*chisl))
    n-=t
    p=n//chisl
    u = n%chisl
    o = str(10**(chisl-1)+p)
    return o[u]
n = int(input())
print(f(n))