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

def main():
	k = int(input())
	digit = 1; low=1; high=9; totalDigit=9; lastTotalDigit=0
	while (totalDigit < k) :
		low *= 10
		high = 10*low-1
		digit += 1
		lastTotalDigit = totalDigit
		totalDigit += (high+1-low)*digit
	k -= lastTotalDigit
	cur = str(low+(k-1) // digit)
	print(cur[(k-1)%digit])

main()
