Basically I ask a bunch of questions to make sure this is a valid jump. If it is, I update the visibility of the appropriate pegs.
In this case if the current peg was peg1, and peg 3 below it is visible, and peg 7 below that is free to jump into.. and we actually dropped it on hole 7, then go ahead and reflect the jump by hiding the peg in 1, hiding the jumped peg 3, and displaying the peg in 7.
We need to duplicate the code for every possible valid jump. Not very compact, but perfectly effective.
There are a LOT of these if statements, so if you don't want to figure out the math for each and every step, I recommend you download the source .fla. If you don't want to download, you can look here at the Peg button Source Code (refer file downloads on the right).
|» Level Intermediate|
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