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())

#n=55

total=0

chiffres = math.floor(math.log10(n))
liste = []
#On stocke dans une liste tous les chiffres du nombre
for k in range(chiffres, -1, -1):
    quotient, n = divmod(n, 10**k)  # récupère chaque chiffre
    liste.append(quotient)  # on ajoute chaque chiffre dans une liste


for i in range(chiffres,-1,-1):
    total+=(i+1)*liste[i]*10**i

print(total)
