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())
step = 9
count = 0
digit = 1
while (count + (digit * step) < n):
    count += (digit * step)
    step *= 10
    digit += 1
i = n - count
k = int((i+(digit-1)) / digit)
num = (10 ** (digit-1)) + (k-1)
j = digit - ((i + digit-1) % digit) - 1
while j > 0:
    num = int(num/10)
    j -= 1
print(num%10)
