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 k;
  cin >> k;
  long long st = 1, ed = 9;
  long long len = 1;
  while (k > (ed - st + 1) * len) {
    k -= (ed - st + 1) * len;
    st *= 10ll;
    ed = ed * 10ll + 9ll;
    len++;
  }
  st += k / len;
  k = k % len;
  if (k == 0) k = len, st--;
  k = len - k;
  while (k > 0) {
    st /= 10ll;
    k--;
  }
  cout << st % 10ll << endl;
  return 0;
}
