codeforces 552B Vanya and Books

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B. Vanya and Books

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

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.

题意：求1到n的所有位数和。

设x∈[1,n]，当x不包含最高位时，9+90*2+900*3……+最多位的位数和。

#include
using namespace std;
typedef long long ll;
int mod=1000000000;
int main()
{
    char s[15];
    while(cin>>s)
    {
        int len=strlen(s);
        ll n=0;
        for(int i=0;i