Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Chapter 5, Problem 10E
a.
Explanation of Solution
Upper bound
- An upper bound on the number of terminal nodes is N!...
b.
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Lower bound
- In this case, no bounds will terminate early.
- There are N! dif...
c.
Explanation of Solution
Plausible evaluation function
- For a state s, X(s) is the number of winning positions...
d.
Explanation of Solution
Checking winning position
- Using the upper bound of N!, it takes 100N N! instructions...
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Given a set of n positive integers, C = {c1,c2, ..., cn} and a positive integer K, is there a subset of C whose elements sum to K? A dynamic program for solving this problem uses a 2-dimensional Boolean table T, with n rows and k + 1 columns. T[i,j] 1≤ i ≤ n, 0 ≤ j ≤ K, is TRUE if and only if there is a subset of C = {c1,c2, ..., ci} whose elements sum to j. Which of the following is valid for 2 ≤ i ≤ n, ci ≤ j ≤ K?
a) ?[?, ?] = ( ?[? − 1, ?] ?? ?[?, ? − ?? ])
b) ?[?, ?] = ( ?[? − 1, ?] ??? ?[?, ? − ?? ])
c) ?[?, ?] = ( ?[? − 1, ?] ?? ?[? − 1, ? − ?? ])
d) ?[?, ?] = ( ?[? − 1, ?] ??? ?[? − 1, ? − ?? ])
In the above problem, which entry of the table T, if TRUE, implies that there is a subset whose elements sum to K?
a) ?[1, ? + 1]
b) ?[?, ?]
c) ?[?, 0]
d) ?[?, ? + 1]
Let the Universal set be {a,b,c,d,e,f,g,h,i,j]
Consider the subsets
A = {a,d,h,i}
B= {b,c,d.,f,i,j}
C = {a,c,e,f,g,}
What is (An B' )'?
We can implement requests to the waiter as either a queue of requests or as a periodic retry of a request. With a queue, requests are handled in the order they are received. Th e problem with using the queue is that we may not always be able to service the philosopher whose request is at the head of the queue (due to the unavailability of resources). Describe a scenario with 5 philosophers where a queue is provided, but service is not granted even though there are forks available for another philosopher (whose request is deeper in the queue) to eat.If we implement requests to the waiter by periodically repeating our request until the resources become available, will this solve the problem described in the above Exercise? Explain.
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Artificial Intelligence: A Modern Approach
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