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())

def find(n) :
  y, x = -1, 10000000000000
  while y + 1 != x :
    m = (y+x)//2
    if con(m) >= n : x = m
    else : y = m
  return str(x)[n-con(y)-1]

def con(x) :
  s, q, z = 0, 1, 0
  while x != 0 :
    z = min(x, 9*10**(q-1))
    x = x - z
    s += z * q
    q += 1
  return s

print(find(n))
