E: Internet Service Providers ----------------------------- A group of N Internet Service Provider companies (ISPs) use a private communication channel that has a maximum capacity of C traffic units per second. Each company transfers T traffic units per second through the channel and gets a profit that is directly proportional to the factor T(C - T N). The problem is to compute T_optim, the smallest value of T that maximizes the total profit the N ISPs can get from using the channel. Notice that N, C, T, and T_optim are integer numbers. Input ----- The input consists of multiple data sets. Each data set corresponds to an instance of the problem above and consists of a single line containing two integer numbers, N and C, with values in the range from 0 to 109. N and C are separated by white spaces and are correct. The input is terminated by 0 0 (this data set should not be considered). Output ------ For each data set the program computes the value of T_optim according to the problem instance that corresponds to the data set. The result is printed. There must be no empty lines on the output. Sample Input ------------ 1 0 0 1 4 3 2 8 3 27 25 1000000000 0 0 Sample Output ------------- 0 0 0 2 4 20000000