Assume that a, b, and n are all positive integers. Let f (i) be the i-th fraction of the fraction a / b (0 ≤ f (i) ≤ 9). At this time, let s be the sum of f (i) from i = 1 to n.

s = f (1) + f (2) + ... + f (n)


Create a program that reads a, b, n, outputs s, and exits.



Input

The input consists of multiple datasets. For each dataset, three integers a (1 ≤ a ≤ 1000), b (1 ≤ b ≤ 10000), n (1 ≤ n ≤ 100) are given on one line, separated by blanks.

The number of datasets does not exceed 100.

Output

Prints s on one line for each dataset.

Example

Input

1 2 3
2 3 4
5 4 3
4 3 2


Output

5
24
7
6
def get_input():
    while True:
        try:
            yield ''.join(input())
        except EOFError:
            break

N = list(get_input())
for l in range(len(N)):
    a,b,n = [int(i) for i in N[l].split()]
    a = a % b
    a = a * (10**n)
    a = a // b
    ans = 0
    while a > 0:
        ans += a % 10
        a = a // 10
    print(ans)
