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.

Write a program that reads sets of data from an input text file. Each data set corresponds to an instance of the problem above and contains two integral numbers – N and C – with values in the range from 0 to 10⁹. The input data are separated by white spaces, are correct, and terminate with an end of file.

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 on the standard output from the beginning of a line. There must be no empty lines on the output. An example of input/output is shown below.

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