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Consider the following puzzle called Moving Magic Square. It is played on a 3 3 table containing each of the numbers 1 to 9 .
Consider the following puzzle called "Moving Magic Square". It is played on a table containing each of the
numbers to The number is the "movable number". You can move in four directions updownleftright
and swap with the number in that direction. The initial state is shown in Table As the player, we want
to move to reach a final state such that the sum of the three numbers on every row, column, and diagonal is
There are multiple states that satisfy this condition, and you can stop your answer when you find the first
satisfied state. Hint: You can define the operations in order of updownleftright which might be helpful for
fewer steps to reach the satisfied state.
Table : Initial state
A points: Formulate this as a search problem. What are the states, operators, initial state, and goal condi
tion?
B points: Is this state space a graph or a tree?
C points: Draw the portion of the state space that would be generated by the BreadthFirst Search BFS
procedure and mark the order in which each state is expanded with the numbers dots Do not create multiple
copies of states that are identical, and identify the states that are goal states.
D points: Draw the portion of the state space that would be generated by the DepthFirst Search DFS
procedure and mark the order in which each state is expanded with lowercase letters a b c Do not create
multiple copies of states that are identical, and identify the states that are goal states.
E points: Draw the portion of the state space that would be generated by the Iterative Deepening Search
IDS procedure and mark the order in which each state is expanded with uppercase letters A B C Do not
create multiple copies of states that are identical, and identify the states that are goal states.
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