# Internet Service Providers

Time Limit: 1000MS

Memory Limit: 65536K

## Description

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 - TN). 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

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.

## 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 on the standard output from the beginning of a line. There must be no empty lines on the output.

## Sample Input

1 0
0 1
4 3
2 8
3 27
25 1000000000

## Sample Output

0
0
0
2
4
20000000

## Source

Southeastern European Regional Programming Co