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 generate(n, x):
    a = 10 ** (n - 1)
    a += x
    return a


def solve(k):
    k -= 1
    n = 1
    while k - n * 9 * 10 ** (n - 1) >= 0:
        k -= n * 9 * 10 ** (n - 1)
        n += 1
    a = generate(n, k / n)
    return str(a)[k % n]


# print solve([100] * 11)
n = input()
print solve(n)
