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())
i = 0
s = 0
while True:
	temp = (i+1)*9*(10**i)
	if s + temp <= n:
		s += temp
		i += 1
	else:
		break
tc = n - s
 
nd = tc//(i+1) - 1
tc -= (nd+1)*(i+1)
f = 10**i + nd
if tc != 0:
	print(str(10**i+nd+1)[tc-1])
else:
	print(str(10**i+nd)[-1])