Prana has given a number. Now she wonder what will be the maximum number of digits that the sum of these digits is equal to the given number. After thinking sometimes she laughed at herself, cause the number is infinite.

Now your task is to find the minimum number of digits that the sum of these digits is equal to the given number.

Input

The input contain a single integer N (0 ≤ N ≤ 10³¹). The input is terminated by a line containing -1.

Output

Output a single line the number of digits that the sum of the digits is equals to the given number. See the sample input/output for exact formatting.

Sample

Input
11
1
-1

Output
2
1

Explanation

For the first test case given number is 11. Some possible way to make 11 is

7+4=11 which costs 2 digits.

2+3+6=11 which costs 3 digits.

1+2+3+5=11 which costs 4 digits.

1+2+3+0+5=11 which costs 5 digits.

So, here first example costs the minimum number of digits which is 2.

Note: There are no extra new lines between different numbers.

Problem setter: Abu Sufian, Dept. of CSE, Bangladesh University of Business and Technology (BUBT)