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, m, c = 0, n = 1;
  scanf("%lld", &k);
  for (long long i = 1;; i++) {
    c += 9 * n * i;
    if (c >= k) {
      long long p = (k - (c - 9 * n * i)) % i,
                q = n + (k - (c - 9 * n * i)) / i;
      if (!p) p = i, q--;
      p = i - p + 1;
      while (p--) m = q % 10, q /= 10;
      return printf("%lld\n", m) & 0;
    }
    n *= 10;
  }
}
