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 get_kth_digit(i):
    if i < 10:
        return i

    batch = 9
    count = 9
    width = 1

    while i >  10 * batch * (width + 1) + count:
        batch *= 10
        width += 1
        count += batch * width

    
    k = i - count - 1
    num = 10 ** width + k// (width + 1)
    return str(num)[k % (width + 1)]

def main():
    i = int(input())

    print(get_kth_digit(i))

if __name__ == '__main__':
    main()