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
from math import log
n = int(input())
def exp_(i):
	return (9*pow(10,i)*i-(10**i)+1)//9
i = 0
while True:
	v = exp_(i)
	if v >= n:
		break
	i = i + 1
if n == v:
	print("9")
else:
	n = n - exp_(i-1)
	num = 10**(i-1) - 1
	num = num + n//(i)
	r = n%(i)
	if r > 0:
		num = num + 1
		f = str(num)
		print(f[r-1])
	else:
		t = str(num)
		print(t[-1])
