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 math
k=int(input())
s=0
i=0
while s<k:
    s=s+9*(10**i)*(i+1)
    i=i+1
if k<10:
    print(k)
else:
    k=k-s+9*(10**(i-1))*(i)
    a=int(math.floor((k-1)/(i)))
    a=a+10**(i-1)
    l=list(str(a))
    r=int((k-1)%i)
    a=int(l[r])
    print(a)