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
k = int(input())
s = k
i = 1
number_digits = 1
while s - (i * (9 * 10 ** (i - 1))) > 0:
    number_digits = number_digits + 1
    s = s - (i * (9 * 10 ** (i - 1)))
    i += 1
v = (s - 1) // number_digits
s = s - v * number_digits
ans = 10 ** (number_digits - 1) + v
ans = str(ans)
fans = ans[s - 1]
print(fans)
