Internet Service Providers

A group of $N$ Internet Service Provider companies (ISPs) share a private communication channel whose maximum capacity is $C$ traffic units per second. Every ISP pushes the same amount of $T$ traffic units per second through the channel, and each ISP earns a profit that is directly proportional to $T\,(C - T\,N)$. The total profit of all $N$ ISPs is therefore proportional to $N\,T\,(C - T\,N)$.

Compute $T_{optim}$: the smallest integer value of $T$ that maximizes this total profit. Here $N$, $C$, $T$, and $T_{optim}$ are all integers.

When there are no ISPs ($N = 0$), the total profit is $0$ for every $T$, and $T_{optim} = 0$.

The input contains several independent data sets and is read until end of file. Each data set has two integers $N$ and $C$ ($0 \le N, C \le 10^9$), separated by whitespace: the number of ISPs and the channel capacity. The data are guaranteed to be valid.

For each data set, print $T_{optim}$ on its own line, in the same order as the input. Do not print any blank lines.