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.
The first line contains integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">9</sup>) — the number of books in the library.
import math

n = int(input())
d = 0
temp = 10
c = 1
while (temp<n):
	d = d+(temp-1)*c
	temp*=10
	c+=1

temp = temp//10
t = n-temp+1
d = d + t*math.log(temp*10,10)
if n%10==0:
	d+=1
print(int(d))