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
index = int(input())

total = 9
n = 1

while index > total:
    total += (n + 1) * (10**n) * 9
    n += 1
last = 10**(n - 1)
total -= n * 9 * last
index = index - total


r = index % (n)
k = index // n

number = last + k


if r == 0:
    print(str(number - 1)[n-1])
else:
    print(str(number)[r - 1])
