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
c = str(input())
length = len(c)
sum = 0
k = int(c) -  10 ** (length - 1) + 1
sum += k * length
temp = int(c) - k
for i in range(length - 1):
    sum += (temp % 10) * 10**i * (i + 1)
    temp = math.floor(temp / 10)
print (sum)
