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

potencias = [0, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000]
pot_alg = [
        0,
        11,
        192,
        2893,
        38894,
        488895,
        5888896,
        68888897,
        788888898,
        8888888899
]

n = int(input())
m = int(math.log10(n))

x = pot_alg[m] + (n - potencias[m]) * (m + 1)

print(x)