What is the optimum order to pot all 15 balls to get the hig

[Bob McBob]

American pool app mini game

When you pot a ball, if the value is greater than the ball potted before then you multiply your total score by the difference between the balls.
If the value is lower than the previously potted ball, you divide your whole score by current potted ball.

What is the optimum order to pot all 15 balls to get the highest/maximum score?



15 balls valued 1 to 15

x= value of last ball potted

y= value of current ball potted

z= ongoing score



If y>x then multiply z by difference (y-x)

If y<x then divided z by y