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
#include <bits/stdc++.h>
using namespace std;
int main() {
  long long n, i, cu = 1, nu, p;
  cin >> n;
  long long temp = n;
  for (i = 1;; i++) {
    nu = (pow(10, i) - pow(10, i - 1)) * cu;
    if (temp - nu >= 0)
      temp -= nu;
    else
      break;
    cu++;
  }
  cu = temp / i;
  if (cu == 0)
    p = pow(10, i - 1);
  else
    p = pow(10, i - 1) + cu;
  temp %= i;
  if (temp == 0) p--;
  string s = to_string(p);
  if (temp == 0)
    cout << s[s.size() - 1];
  else
    cout << s[temp - 1];
}
