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 <iostream>
using namespace std;
int main(void){
    int n,i,cnt=0;
    cin >> n;
    for(i=1;i<=n;i++){
        if(to_string(i).size()%2==1) cnt++;
    }
    cout << cnt << endl;
}