Consider sending a large file of $360,000$ bits from Host $A$ to Host $B$, connected through a router. Assume that there is no queuing and propagation delay, and the router has sufficient buffer space. Host $A$ splits the file into segments of $S$ bits each and adds $36$ bits of header to each segment, forming packets of $(36 + S)$ bits. Each link has a transmission rate of $R$ bps. Find the value of $S$ that minimizes the time needed to move the file from Host $A$ to Host $B$.