For the test case [7 7 7] all of [1 7] [2 7] [3 7] should be valid responses, right? Also you don't have any test cases where the game is not winnable.
Remove the small words from a list of words.
Project Euler: Problem 8, Find largest product in a large string of numbers
Back to basics 9 - Indexed References
nth Rational Number
Conjunctive Normal Form
Index of a Rational number
Method of Common Differences part-2
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