Web application for Sudoku

I want to create a webapp with JavaEE, but I am confused with JSP and JSF. My plan is to create a webapp, where a user can solve generated Sudoku puzzles. So the webapp consists of about 10*10 input fields (in which the user inputs his numbers). The view will be based on html/xhtml/css and the logic of the webapp (generator, check if puzzle was solved correct) should be in Java. Should I use JSP or JSF for my web application? I found out that JSF is for presentation oriented webapps, right? So this would be better for my application. But if I read other sources on the web JSP seems to be better?! Or would another technique be better? I already had some experiences with JSF.

Thanks for your help!