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;
long long int n, m, i, j, k, l, t, a, b, c, d, e, f, g, h;
int main() {
  scanf("%lld", &n);
  k = 9;
  l = 0;
  m = 0;
  while (m < n) {
    l++;
    a = l * k;
    m += a;
    k *= 10;
  }
  k /= 10;
  m -= (l * k);
  a = k / 9;
  b = n - m;
  c = b / l;
  d = b % l;
  if (d == 0) c--, d = l;
  e = a + c;
  while (l > d) l--, e /= 10;
  printf("%lld\n", e % 10);
}
