Artificial Intelligence: A Modern Approach
Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 6, Problem 3E

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a.

Choosing appropriate algorithm:

  • The crossword puzzle construction can be solved in different ways. The simple choice is depth-first search...

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b.

Variables in constraint satisfaction problem:

  • As constraint satisfaction problem, there are even more choices. The user could have the variable for each box in the crossword puzzle. In this case, letters are the value of each variable and letters are the constraints that must male words.
  • An alternative way is the user could have each string of consecutive horizontal or ve...

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The intersection of two sets contains the list of elements that are common to both, without repetition. As such, you are required to write an algorithm that finds and returns the intersection of two sets A and B. The sets A and B and the resulting intersection set are all lists. Assume the size of A is n and that of B is m. (a) Write an iterative algorithm that finds the intersection. (b) Prove the correctness of your algorithm; i.e. state its loop invariant and prove it by induc- tion. (c) Analyze the time complexity of your algorithm. (d) Think of a way to enhance the complexity of your algorithm by sorting both lists A and B before calculating their intersection. Write the enhanced version and prove that it has a better time complexity.
In computer science and mathematics, the Josephus Problem (or Josephus permutation) is a theoretical problem. Following is the problem statement: There are n people standing in a circle waiting to be executed. The counting out begins at some point (rear) in the circle and proceeds around the circle in a fixed direction. In each step, a certain number (k) of people are skipped and the next person is executed. The elimination proceeds around the circle (which is becoming smaller and smaller as the executed people are removed), until only the last person remains, who is given freedom. Given the total number of persons n and a number k which indicates that k-1 persons are skipped and kth person is killed in circle. The task is to choose the place in the initial circle so that you are the last one remaining and so survive. For example, if n = 5 and k = 2, then the safe position is 3. Firstly, the person at position 2 is killed, then person at position 4 is killed, then person at position 1…
1) Make a concise discussion of the Binary Search Algorithm. (i.e. For what is the Binary Search Algorithm? How does binary search happen?)    2) What are two needed formal parameters of a method that implements the Linear Search Algorithm?   3) Suppose the Linear Search Algorithm is implemented by a method that returns a boolean value. What does the return value of the method represent?
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