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
import math
r = 10000
sqrt = int(math.sqrt(r))
p = [1]*r
p[0] = 0
for i in range(1,sqrt):
    if p[i]:
        for j in range(2*i+1,r,i+1):
            p[j] = 0

while True:
    n = int(raw_input())
    if not n:
        break
    i, num, sum = 0, 1, 0
    while num < n:
        if p[i] == 1:
            num += 1
            sum += i
        i += 1
    print sum