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 mp():
    return map(int, input().split())

def f(i):
    return (10 ** i - 10 ** (i - 1)) * i

n = int(input())

i = 1
sum = 0
while n - f(i) >= 0:
    n -= f(i)
    sum += f(i) // i
    i += 1

print(str(sum + (n + i - 1) // i)[n % i - 1])