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())
if n<10:
    print(n)
    exit()
f=str(n)
count=(int(f[1:])+1)*len(f)
n-=int(f[1:])
count+=(int(str(n)[0])-1)*int(math.log(n,10))
s=10**int(math.log(n,10))
dic=dict()
a=10
for i in range(10):
    m=str(a)[0:i+1]
    dic[a]=int(m)*9*(i+1)
    a*=10
while s in dic:
    count+=dic[s]
    s//=10
print(count)