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COMP 6651 NN 2244 (Winter 2025)
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Let the frequency of letters a, b, c, d, and e be as follows: 7, 16, 25, 17 and 20.
Assume you build a huffman code to create an optimal prefix code.
Indicate all the correct answers.
Recall the 5 staps of the kth order statistics algorithm and their complexity (or the recurrence relation defining the complexity). Recall the overall complexity of the kth order statistics algorithm, its input and output.
Suppose you always pick median as the pivot in the QuickSort.
What is the recurrence relation for this variant?
The partition algorithm can be written as follows for given input, A, p and r.
What is the definition of the value that is returned,i.e., i+1?
The answers to the questions of this quiz are my own and I pledge to not use any outside sources or people to help me. By clicking True I pledge that I will not cheat.
All my electronic equipment is currently in my school bag.
My ChatGBP, DeepSeek and Moodle pages are closed.
Identify the recurrence equation which defines the worst case complexity of the insertion sorting
The subset-sum problem is defined as follows.
Given a set of n positive integers, S = and positive integer W, is there a subset of S whose elements sum to W?
A dynamic program for solving this problem uses a 2-dimensional Boolean array X, with n rows and W+1 columns.
X[i, j],1 i n, 0 j W, is TRUE if and only if there is a subset of whose elements sum to j.
Which of the following is valid for 2 i n and ai j W?
A ski rental agency has m pairs of skis, where the height of the ith pair of skis is si.
There are n skiers who wish to rent skis, where the height of the ith skier is hi
Ideally, each skier should obtain a pair of skis whose height matches her/his own height as closely as possible.
We would like to assign skis to skiers so that the sum of the absolute differences of the heights of each skier and her/his skis is minimized.
Assuming that m > n, design a dynamic programming approach for the problem with providing a recurrence relation that allows to compute the optimal value.
You need to justify informally your recurrence relation.