Show that the 8-puizle states are divided into two disjoint sets, such that no state in one
Question:
Show that the 8-puizle states are divided into two disjoint sets, such that no state in one set can be transformed into a state in the other set by any number of moves. Devise a procedure that will tell you which class a given state is in, and explain why this is a good thing to have for generating random states.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
From httpwwwcuttheknotcompvthagorasfifteenshtml this proof applies to the fifteen puzzles but the same argument works for the eight puzzles Definition ...View the full answer
Answered By
Rayan Gilbert
I have been teaching since I started my graduation 3 years ago. As a student, working as Teacher/PA has been tough but made me learn the needs for student and how to help them resolve their problems efficiently. I feel good to be able to help out students because I'm passionate about teaching. My motto for teaching is to convey the knowledge I have to students in a way that makes them understand it without breaking a sweat.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Artificial Intelligence A Modern Approach
ISBN: 978-0137903955
2nd Edition
Authors: Stuart J. Russell and Peter Norvig
Question Posted:
Students also viewed these Computer Sciences questions
-
Define expected cash flows, and explain why this concept is important in evaluating projects.
-
Define funds from operations (FFO) and explain why this measure is often used instead of GAAP net income to quantify the income-producing ability of a real estate investment trust.
-
Define socialization and explain why this process is so important; explain Sigmund Freud's views as they relate to our individual desires and the demands of society; identify the ways in which we...
-
Should courts ever enforce illegal contracts? If illegal contracts are void as a matter of law, what is the court enforcing? If courts will use equity powers or other roundabout ways to enforce...
-
a. What are the cash flow associated with a bond? b. What is the general expression for the year of a bond? c. Is it true that the only risk associated with owning a bond is that the issuer will not...
-
Figure 1 shows a partial map of the streets in New York City. (Such maps are discussed in Chapter 5.) A tourist starts at point A and selects at random a shortest path to point B. That is, they walk...
-
In March 2015, a Nielsen global online survey "found that consumers are increasingly willing to pay more for socially responsible products." Over 30,000 people in 60 countries were polled about their...
-
Messer Company purchased equipment for $24,000. The company is considering whether t o determine annual depreciation using the straight-line method or the declining-balance method at 150 percent of...
-
Image transcription text Page AND To Trojedt 2.2 Maintenance Record Entries Name: Class Section: Aeronautical Product Model / Registration Number Serial Number (S/N) ITIS Aircraft - mig 1983 Cessna...
-
The Maple Lake branch of Buffalo State Savings Bank (BSSB) is a retail branch in a rapidly growing residential area. It services individuals and local businesses. To support its services, the branch...
-
Suppose that legal-actions(s) denotes the set of actions that are legal in state s, and result(a, s) denotes the state that results from performing a legal action a in state s. define successor-en in...
-
Consider the n-queens problem using the efficient incremental formulation given. Explain why the state space size is at least and estimate the largest ii for which exhaustive exploration is feasible.
-
Suppose that the supply function for some commodity is S(q) = q 2 + 5q + 100 and the demand function for the commodity is D(q) = 350 - q 2 . (a) Find the producers surplus. (b) Find the consumers...
-
Draw 10 comparison with explanation between Indian Penal Code and Malaysia Penal Code ?
-
A calendar year taxpayer, made one asset purchase during the year and will not use section 179 or bonus. The asset is 7 year recovery period property that was placed in early october. how many months...
-
What is the short run (one year) and long run (five year plus) financial outlook of Twitter and Meta Platforms? How do they compare? How would you explain each company's key strength and key weakness?
-
Which report would you use to complete a physical inventory count? Which report would you use to complete a physical inventory count? Product and Service List Inventory Valuation Summary Physical...
-
Problem 1: 12 Cabins, 12 Vacancies (4 points) Bates Motel, Inc. is incorporated and headquartered in State Z. It owns and operates several hotels in several states and reports the following...
-
In addition to timely repayment of the loan, what other duties does a mortgagor assume?
-
Express these numbers in standard notation. a. 2.87 10-8 b. 1.78 1011 c. 1.381 10-23
-
Brian Michael Gall (hereafter Petitioner) was convicted, on his guilty plea, in the U.S. District Court for the Southern District of Iowa, of conspiracy to distribute ecstasy and was sentenced to 36...
-
Arithmetic assertions can be written in first-order logic with the predicate symbol
-
In Chapter 6, we used equality to indicate the relation between a variable and its value. For instance, we wrote WA = red to mean that Western Australia is colored red. Representing this in...
-
Write in first-order logic the assertion that every key and at least one of every pair of socks will eventually be lost forever, using only the following vocabulary: Key(x), x is a key; Sock(x), x is...
-
4. The water in Earth's atmosphere blocks most of the infrared waves coming from space. In order to observe light of this wavelength, the Kuiper Airborne Observatory has been developed. The...
-
What amount of gain should Pharoah recognize on the exchange assuming lack of commercial substance?
-
If R1=7 Q, R2=3 Q, R3=9 Q, V= 12 V, and V2=8 V. Find the current (in A) that pass through R. R R R V V 2 +
Study smarter with the SolutionInn App