Peter has n cigarettes. He smokes them one by one keeping all the butts. Out of k > 1 butts he can roll a new cigarette.
How many cigarettes can Peter have?
Input is a sequence of lines. Each line contains two integer numbers giving the values of n and k.
For each line of input, output one integer number on a separate line giving the maximum number of cigarettes that Peter can have.
4 3 10 3 100 5
5 14 124