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Prove greedy fractional knapsack optimal
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Description
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Prove greedy fractional
knapsack optimal
Analyze the prove greedy fractional knapsack optimal.
Examples
Example 1
Input:
"proof_case_1"
Output:
true
Example 2
Input:
"proof_case_2"
Output:
true
Hints
Hint 1
Start by understanding why the greedy approach works for the fractional knapsack problem, unlike the 0/1 knapsack problem.
Hint 2
Consider how the value-to-weight ratio helps in making locally optimal choices that lead to a globally optimal solution.
Hint 3
Prove that selecting items in descending order of their value-to-weight ratio guarantees the maximum possible value for any given capacity.
Prove greedy fractional knapsack optimal
Analyze the prove greedy fractional knapsack optimal.