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Multidimensional multiple-choice knapsack problem: find a feasible solution

My assignment is to use local search heuristics to solve the Multidimensional multiple-choice knapsack problem, but to do so I first need to find a feasible solution to start with. Here is an example ...
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Algorithm for HIghest Local Alignment Score with a specific character match between two subsequences

I'm writing a code that identifies the highest-scoring local alignment between a substring X' of X and a substring Y' of Y that has at least one column in which a C from X' is aligned to a W from Y'. ...