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
k = input()
k = int(k)

n = 1
while (k - n*9*(10**(n-1)) > 0):
    k = k - n*9*(10**(n-1))
    n = n + 1

n = n - 1
# k == number of digits in the nth power place

if n == 0:
    print(k)
else:
    nth_num = (k-1) // (n+1) + 1
    num = 10**n + nth_num - 1
    pos = (k-1) % (n+1)
    print(int(str(num)[pos]))

# 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899
