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
N = int(input())
beg = 0
end = 9
i = 0  # в скольки значных числах мы находимся - 1


while N > end:
    i += 1
    beg, end = end, end + (i + 1) * 9 * 10**i

n = N - beg - 1  # это N относительно начала чисел с длинной i, начиная с 0
lvl = i - n % (i + 1)  # номер симвала, начиная от конца числа
period = (i + 1) * 10**lvl  # период смены числа

res = n//period % 10
if lvl == i:
    res += 1
print(res)
