1 3 4 8 6 2 7 5 2 8 1 2 8 1 4 4 3 4 6 3 76 5 7 5 Implement the following search algorithms and test them on the start sta state shown above. Only A* needs to detect duplicate states and eliminate the remainder of the search.

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Artificial Intelligence programming assignment
Here is the goal state and four start states for the 8-puzzle.
Goal:
Easy:
Medium:
Hard:
Worst:
1 2 3
5 6 7
1 3 4
8 6 2
2 8 1
2 8 1
8
4
4 3
4 6 3
4
8.
76 5
7
7 6 5
7 5
3 2 1
Implement the following search algorithms and test them on the start states and
goal state shown above. Only A* needs to detect duplicate states and eliminate them
from the remainder of the search.
1. A* search using the heuristic function f*(n) = g(n) + h*(n), where h*(n) is the number
of tiles out of place (not counting the blank).
2. A* search using the Manhattan heuristic function.
3. Iterative deepening A* with the Manhattan heuristic function.
4. Depth-first Branch and Bound with the Manhattan heuristic function.
When defining the successor function, it is helpful to define the actions in terms of
the empty tile, that is, the four actions are moving the empty tile right, down, left, and
up. Consider the actions in this order in your implementation.
If your algorithms take too long or too much memory to find any solution, your
implementation may be inefficient. Consider optimizing it. If you still can't find solutions
within a reasonable amount of time, enforce a time limit, say 30 minutes, on your
algorithm and specify it in your report.
Problem Analysis:
For all the algorithms, include in your report a table the number of nodes
expanded, the total time required to solve the puzzle, and the sequence of moves in the
optimal solution. For Depth-first Branch and Bound, also record the time the optimal
solution is found (typically not the same as the finish time).
Deliverables:
1) Well commented code (JAVA).
2) A readme file explaining how to compile and run your code.
3) A written report explaining your experimental results and analysis.
Transcribed Image Text:Artificial Intelligence programming assignment Here is the goal state and four start states for the 8-puzzle. Goal: Easy: Medium: Hard: Worst: 1 2 3 5 6 7 1 3 4 8 6 2 2 8 1 2 8 1 8 4 4 3 4 6 3 4 8. 76 5 7 7 6 5 7 5 3 2 1 Implement the following search algorithms and test them on the start states and goal state shown above. Only A* needs to detect duplicate states and eliminate them from the remainder of the search. 1. A* search using the heuristic function f*(n) = g(n) + h*(n), where h*(n) is the number of tiles out of place (not counting the blank). 2. A* search using the Manhattan heuristic function. 3. Iterative deepening A* with the Manhattan heuristic function. 4. Depth-first Branch and Bound with the Manhattan heuristic function. When defining the successor function, it is helpful to define the actions in terms of the empty tile, that is, the four actions are moving the empty tile right, down, left, and up. Consider the actions in this order in your implementation. If your algorithms take too long or too much memory to find any solution, your implementation may be inefficient. Consider optimizing it. If you still can't find solutions within a reasonable amount of time, enforce a time limit, say 30 minutes, on your algorithm and specify it in your report. Problem Analysis: For all the algorithms, include in your report a table the number of nodes expanded, the total time required to solve the puzzle, and the sequence of moves in the optimal solution. For Depth-first Branch and Bound, also record the time the optimal solution is found (typically not the same as the finish time). Deliverables: 1) Well commented code (JAVA). 2) A readme file explaining how to compile and run your code. 3) A written report explaining your experimental results and analysis.
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