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 get_int(int number, int n) {
  int b = pow(10, n - 1);
  number = number / b;
  return number % 10;
}
int main() {
  int n;
  cin >> n;
  if (n <= 9) {
    cout << n;
  } else if (n <= 189 && n > 9) {
    int N = n - 9;
    cout << get_int(9 + (N + 1) / 2, N % 2 + 1);
  } else if (n <= 2889 && n > 189) {
    int N = n - 189;
    cout << get_int(99 + (N + 2) / 3, (3 - N % 3) % 3 + 1);
  } else {
    int N = n - 2889;
    cout << get_int(999 + (N + 3) / 4, (4 - N % 4) % 4 + 1);
  }
}
