Question: Prove that if in the Simple Knapsack problem all weights are distinct powers of 10, then the greedy algorithm always returns an optimal solution, rather

 Prove that if in the Simple Knapsack problem all weights are

Prove that if in the Simple Knapsack problem all weights are distinct powers of 10, then the greedy algorithm always returns an optimal solution, rather than just a 2-approximation (and, moreover, that this solution is unique)

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