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number of moving glasses by half. Here is another classical problem similar to the one just described but a little more difficult. There are n things lined up next to another n things like this : XXX.....OOO........ However, we define a different way to "move", where you can only move any pair of neighbouring items to an empty space in a row, and you can't change the left-right order of the items. Then, let we think, it is meaningless when n=1, and when n=2 it is no answer. When n=3,the solution process is as follows. XXXOOO XOOOXX XOO XOX OXOXOX ,it should look like this, and we can move .. So when n > 2,we should at least move n times to solve the problem, could you formulate the solution process for n greater than or equal to 3?

number of moving glasses by half. Here is another classical problem similar to the one just described but a little more difficult. There are n things lined up next to another n things like this : XXX.....OOO........ However, we define a different way to "move", where you can only move any pair of neighbouring items to an empty space in a row, and you can't change the left-right order of the items. Then, let we think, it is meaningless when n=1, and when n=2 it is no answer. When n=3,the solution process is as follows. XXXOOO XOOOXX XOO XOX OXOXOX ,it should look like this, and we can move .. So when n > 2,we should at least move n times to solve the problem, could you formulate the solution process for n greater than or equal to 3?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 43E: On National Public Radio, the "Weekend Edition" program on Sunday, July 29, 2001, posed the...
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number of moving glasses by half. Here is another classical problem similar to the one just described but a little more difficult. There are n things lined up next to another n things like this : XXX.....OOO........ However, we define a different way to "move", where you can only move any pair of neighbouring items to an empty space in a row, and you can't change the left-right order of the items. Then, let we think, it is meaningless when n=1, and when n=2 it is no answer. When n=3,the solution process is as follows. XXXOOO XOOOXX XOO XOX OXOXOX ,it should look like this, and we can move .. So when n > 2,we should at least move n times to solve the problem, could you formulate the solution process for n greater than or equal to 3?
Transcribed Image Text:number of moving glasses by half. Here is another classical problem similar to the one just described but a little more difficult. There are n things lined up next to another n things like this : XXX.....OOO........ However, we define a different way to "move", where you can only move any pair of neighbouring items to an empty space in a row, and you can't change the left-right order of the items. Then, let we think, it is meaningless when n=1, and when n=2 it is no answer. When n=3,the solution process is as follows. XXXOOO XOOOXX XOO XOX OXOXOX ,it should look like this, and we can move .. So when n > 2,we should at least move n times to solve the problem, could you formulate the solution process for n greater than or equal to 3?
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