B - Vanya and Books

不要用pow()函数！！！！！一个简单题wa了n次。QAQ

B - Vanya and Books

 CodeForces - 552B 

Vanya got an important task — he should enumerate books in the library and label each book with its number. Each of the n books should be assigned with a number from 1 to n. Naturally, distinct books should be assigned distinct numbers.

Vanya wants to know how many digits he will have to write down as he labels the books.

Input

The first line contains integer n (1 ≤ n ≤ 109) — the number of books in the library.

Output

Print the number of digits needed to number all the books.

Examples

Input

13

Output

17

Input

4

Output

4

Note

Note to the first test. The books get numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, which totals to 17 digits.

Note to the second sample. The books get numbers 1, 2, 3, 4, which totals to 4 digits.

#include <iostream>
#include <cstring>
#include <cstdio>
#include <cmath>
using namespace std;
long long po(int ii){
    long long  k=1;
    for(int i=1;i<=ii;i++){
        k=k*10;
    }
    return k;
}
int main()
{
    long long int n;
    while(scanf("%I64d",&n)!=EOF)
    {
        long long temp=n;
        long long t=0;
        while(n>0)
        {
            t++;
            n=n/10;
        }
        if(t==1)
            cout<<temp<<endl;
        else
        {
            long long int sum=0;
            for(int i=1; i<t; i++)
            {
                sum=sum+i*9*po(i-1);
            }
            sum=sum+(temp-po(t-1)+1)*t;
            cout<<sum<<endl;
        }
    }
    return 0;
}