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 = 1
s = 0
while (i*9*(10**(i-1))) < n-s :
	s += i*(10**(i-1))*9
	i += 1
n -= s
j = n//i
k = (n%i)
if k is 0 :
	ind = i-1
else :
	ind = k-1
print(str(10**(i-1)+j-1+(k>0))[ind])