![]() However, I began to hit memory limits and my naive first-pass Javascript code would need some performance tuning to be able to brute-force check 12-15. length 2-11 to find the highest scoring sequences: I set about solving shorter sequences as an exercise and I was able to brute-force check & score each possible permutation for seq. Maybe the folks at Numberphile can find a solution. I still am not sure if this is the highest, as I just started thinking about this problem literally about an hour or two before writing this. In this case, the fourth number after 12 in 15 is 1, not 2. I thought of it like the circle of fourths/fifths in music. I noticed the "1" group was in at the end instead of after the "4" group. This sequence gives you 2,793,472 (when dividing by three, the game rounds down/uses the floor). Rerusselljr: I noticed that the sequence had groups of numbers increasing by 4, but were "out of order". One interesting side-effect of this scoring method is that if you pocket the balls in sequence 1,2,3.15 your final score will be 1. Rules: "In Matrix Mode, when you pocket a ball your score will be multiplied by the difference of your previous and current ball number if the current is more than the previous but if the current is less, then your score is divided by the current ball number." The way the mode is scored is as follows: I'm wondering if any math wizards out there can devise a way of PROVING what the BEST sequence of 1-15 is to achieve the highest possible score in this mode. but when I set about finding it, I ran into some interesting challenges. It's has a "correct solution" to get the highest score possible. 3D Billiards Pool: Matrix Mode Solution ProofĮivaa Games' Pool Billiards 3D has this unique Matrix mode. ![]()
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