Score : 400 points
Given are integers A, B, and N.
Find the maximum possible value of floor(Ax/B) - A × floor(x/B) for a non-negative integer x not greater than N.
Here floor(t) denotes the greatest integer not greater than the real number t.
Input is given from Standard Input in the following format:
A B N
Print the maximum possible value of floor(Ax/B) - A × floor(x/B) for a non-negative integer x not greater than N, as an integer.
5 7 4
2
When x=3, floor(Ax/B)-A×floor(x/B) = floor(15/7) - 5×floor(3/7) = 2. This is the maximum value possible.
11 10 9
9