503_HW2_S11

# 503_HW2_S11 - UML CS Analysis of Algorithms 91.503 (section...

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UML CS Analysis of Algorithms 91.503 (section 201) Spring, 2011 1 of 2 Homework Set #2 Assigned: Tuesday, 2/1 Due: Friday, 2/11 (5:30 pm ) This assignment covers textbook material in Chapter 16 (Greedy Algorithms). Attach signed honor statement. 1. (15 points) Find a maximum-size set of mutually compatible activities for the following set of activities: i 1 2 3 4 5 6 7 8 9 s i 1 11 6 8 3 2 4 12 5 f i 7 12 16 9 12 5 9 16 6 2. (15 points) Find an optimal Huffman code for the following set of frequencies: a : 34 b : 6 c : 89 d : 11 e : 72 f : 45 g : 24 3 . (70 points) This problem, which has an application in bioinformatics, involves a sequence S of n distinct integers. We have the following definitions: Definition 1 : An increasing subsequence of S is a subsequence of S whose values strictly increase from left to right. Definition 2 : A decreasing subsequence of S is a subsequence of S whose values are nonincreasing from left to right. (Note the lack of symmetry in Definitions 1 and 2.)

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## This note was uploaded on 02/13/2012 for the course CS 91.503 taught by Professor Staff during the Spring '11 term at UMass Lowell.

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503_HW2_S11 - UML CS Analysis of Algorithms 91.503 (section...

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