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
j = 0
inp = int(input())
u = int(math.log10(inp)) + 1
res = 0 
for i in range(u-1):
	res += (10**i) * 9 * (i+1)
	j = i+1 
r = inp - 10**j
q = (r+1)*(j+1)
print (q+res)