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Not beat yet, but I don't think it is possible to algorithmically.

144=3 x 48 ; 48=3 x 16

16 is 'easy' to create - if you can avoid creating any three-pairs.

The trick of this game is that you can have 3,4,5 pairs. There may be some ways to choose 4 and 5 pairs along with the easier 2 and 3 pairs to win it - my efforts so far with the simple strategy produced two 48 pairs, and a seemingly random chance at producing an elusive third 48th pair, so any solution I would think would be considerably more difficult, if one exists at all.




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