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Greedy-new-handouts-2

Greedy-new-handouts-2 - Merge Sort 2:42 PM The Greedy...

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Merge Sort 2/20/2006 2:42 PM 1 The Greedy Method 1 The Greedy Method The Greedy Method 2 Outline and Reading The Greedy Method Technique (§5.1) Fractional Knapsack Problem (§5.1.1) Task Scheduling (§5.1.2) Minimum Spanning Trees (§7.3) [future lecture]
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Merge Sort 2/20/2006 2:42 PM 2 The Greedy Method 3 The Greedy Method Technique The greedy method is a general algorithm design paradigm, built on the following elements: configurations : different choices, collections, or values to find objective function : a score assigned to configurations, which we want to either maximize or minimize It works best when applied to problems with the greedy-choice property: a globally-optimal solution can always be found by a series of local improvements from a starting configuration. The Greedy Method 4 Making Change Problem: A dollar amount to reach and a collection of coin amounts to use to get there. Configuration: A dollar amount yet to return to a customer plus the coins already returned Objective function: Minimize number of coins returned.
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