Several students are standing evenly around a circle to play a game, and the $$8$$\textsuperscript{th}~student stand directly opposite to the $$16$$\textsuperscript{th} student. After the first game, more students join the game and everyone are still evenly spaced. Now, the $$8$$\textsuperscript{th}~students stand directly opposite to the $$22$$\textsuperscript{nd}~student. How many new students join the second game? 
Overseas Competition->Knowledge Point->Word Problem Modules->Interval Problems->Circular Paths->Points, Lines and Pictures (circular path)