You have m dollars and a group of n friend. For each friend 1 ≤ i ≤n, you know the price P[i] of the piece of candy that would make your friend happy. You want to find a way to distribute the m dollars such that as many of your friends as possible are happy. Design an O(n log n) time greedy algorithm to find how much money you will allocate each friend.
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I need the algorithm, proof of correctness and runtime analysis for the problem. No code necessary ONLY algorithm. And runtime should be O(n log n) as stated in the question.
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