Laurent_R has made some good suggestions about pruning combinations early, and Albannach has expanded on it. If you are using an algorithm to solve the knapsack problem, keep in mind that it is a notoriously difficult problem (NP Complete) and could easily put you into quadrillions if there are too many combinations.G;ive some thought to heuristic solutions; after all, in solving a knapsack problem, each item has a value and a weight. In Fantasy Football, value is subjective, or heuristic; I guess weight just means you need to choose 11 players, including certain positions. Knapsack seeks a mathematically optimal solution; fantasy seeks a heuristically satisfying lineup with a good probability of winning a game--quite different from weighing and valuing a knapsack.
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