Final Fantasy XIII-2 contains an interesting mini-game where you have to find a sequence of numbers around the circle.
Nathaniel Johnston does a nice write up of the game:
“The way the game works is as follows:
- The user may start by picking any of the N positions on the circle. Call the number in this position M.
- You now have the option of picking either the number M positions clockwise from your last choice, or M positions counter-clockwise from your last choice. Update the value of M to be the number in the new position that you chose.
- Repeat step 2 until you have performed it N-1 times.
You win the game if you choose each of the N positions exactly once, and you lose the game otherwise (if you are forced to choose the same position twice, or equivalently if there is a position that you have not chosen after performing step 2 a total of N-1 times). During the game, N ranges from 5 to 13, though N could theoretically be as large as we like.”
On the timed puzzles, the best thing to do is take a picture of the game, pause the game (which will distort the screen), and find the solution.