Given is an integer N. Find the number of positive integers less than or equal to N that have an odd number of digits (in base ten without leading zeros).

Constraints

* 1 \leq N \leq 10^5

Input

Input is given from Standard Input in the following format:


N


Output

Print the number of positive integers less than or equal to N that have an odd number of digits.

Examples

Input

11


Output

9


Input

136


Output

46


Input

100000


Output

90909
#include"bits/stdc++.h"
using namespace std;

int main(){
	int N;
	cin >> N;
	int ans = 0;
	for (int i = 1;i <= N;++i) {
		if (to_string(i).size() % 2 != 0) ans++;
	}
	cout << ans << endl;
	return 0;
}