Consider the problem of solving two 8-puzzles.

a. Give a complete problem formulation.

b. How large is the reachable state space? Give an exact numerical expression.

c. Suppose we make the problem adversarial as follows: the two players take turns moving; a coin is flipped to determine the puzzle on which to make a move in that turn; and the winner is the first to solve one puzzle. Which algorithm can be used to choose a move in this setting?

d. Give an informal proof that someone will eventually win if both play perfectly.

Question

07-05-2020
Computers and Technology

contestada

Consider the problem of solving two 8-puzzles.

a. Give a complete problem formulation.

b. How large is the reachable state space? Give an exact numerical expression.

c. Suppose we make the problem adversarial as follows: the two players take turns moving; a coin is flipped to determine the puzzle on which to make a move in that turn; and the winner is the first to solve one puzzle. Which algorithm can be used to choose a move in this setting?

d. Give an informal proof that someone will eventually win if both play perfectly.

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kendrich kendrich · Answer 1 · 2020-05-10T04:02:36+02:00

kendrich kendrich

10-05-2020

Answer:

See Explaination

Explanation:

d. If both players play perfectly, then too each player will play not let the other win. Let there be a state of the game in which the goal state can be achieved in just 2 more moves. If player 1 makes one move then the next move made player 1 will win or player 2 do the same.

Either way whatever the rule states, there must be a winner emerging.

Check attachment for option a to c.

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