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OutfileHeuristic1.txt
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**********Start of Set - 1 Input - 1 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [8, 1, 3, 7, 2, 4, 6, 0, 5]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 5 iterations
Total Number of Nodes expanded to find the solution are: 10
List Format [Current State, Previous State, gVal, hVal, Action]
[[8, 1, 3, 7, 2, 4, 6, 0, 5], [], 0, 5, 'root']
[[8, 1, 3, 7, 2, 4, 0, 6, 5], [8, 1, 3, 7, 2, 4, 6, 0, 5], 1, 4, 'right']
[[8, 1, 3, 0, 2, 4, 7, 6, 5], [8, 1, 3, 7, 2, 4, 0, 6, 5], 2, 3, 'down']
[[0, 1, 3, 8, 2, 4, 7, 6, 5], [8, 1, 3, 0, 2, 4, 7, 6, 5], 3, 2, 'down']
[[1, 0, 3, 8, 2, 4, 7, 6, 5], [0, 1, 3, 8, 2, 4, 7, 6, 5], 4, 1, 'left']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 0, 3, 8, 2, 4, 7, 6, 5], 5, 0, 'up']
Puzzle Solved
**********End of Set - 1 Input - 1 Heuristic - 1 **********
**********Start of Set - 1 Input - 2 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [1, 0, 3, 7, 2, 4, 6, 8, 5]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 6 iterations
Total Number of Nodes expanded to find the solution are: 14
List Format [Current State, Previous State, gVal, hVal, Action]
[[1, 0, 3, 7, 2, 4, 6, 8, 5], [], 0, 4, 'root']
[[1, 2, 3, 7, 0, 4, 6, 8, 5], [1, 0, 3, 7, 2, 4, 6, 8, 5], 1, 3, 'up']
[[1, 2, 3, 7, 8, 4, 6, 0, 5], [1, 2, 3, 7, 0, 4, 6, 8, 5], 2, 3, 'up']
[[1, 2, 3, 7, 8, 4, 0, 6, 5], [1, 2, 3, 7, 8, 4, 6, 0, 5], 3, 2, 'right']
[[1, 2, 3, 0, 8, 4, 7, 6, 5], [1, 2, 3, 7, 8, 4, 0, 6, 5], 4, 1, 'down']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 0, 8, 4, 7, 6, 5], 5, 0, 'left']
Puzzle Solved
**********End of Set - 1 Input - 2 Heuristic - 1 **********
**********Start of Set - 1 Input - 3 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [1, 0, 2, 8, 6, 3, 7, 5, 4]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 5 iterations
Total Number of Nodes expanded to find the solution are: 10
List Format [Current State, Previous State, gVal, hVal, Action]
[[1, 0, 2, 8, 6, 3, 7, 5, 4], [], 0, 5, 'root']
[[1, 2, 0, 8, 6, 3, 7, 5, 4], [1, 0, 2, 8, 6, 3, 7, 5, 4], 1, 4, 'left']
[[1, 2, 3, 8, 6, 0, 7, 5, 4], [1, 2, 0, 8, 6, 3, 7, 5, 4], 2, 3, 'up']
[[1, 2, 3, 8, 6, 4, 7, 5, 0], [1, 2, 3, 8, 6, 0, 7, 5, 4], 3, 2, 'up']
[[1, 2, 3, 8, 6, 4, 7, 0, 5], [1, 2, 3, 8, 6, 4, 7, 5, 0], 4, 1, 'right']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 8, 6, 4, 7, 0, 5], 5, 0, 'down']
Puzzle Solved
**********End of Set - 1 Input - 3 Heuristic - 1 **********
**********Start of Set - 1 Input - 4 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [2, 8, 3, 1, 4, 0, 7, 6, 5]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 6 iterations
Total Number of Nodes expanded to find the solution are: 14
List Format [Current State, Previous State, gVal, hVal, Action]
[[2, 8, 3, 1, 4, 0, 7, 6, 5], [], 0, 4, 'root']
[[2, 8, 3, 1, 0, 4, 7, 6, 5], [2, 8, 3, 1, 4, 0, 7, 6, 5], 1, 3, 'right']
[[2, 0, 3, 1, 8, 4, 7, 6, 5], [2, 8, 3, 1, 0, 4, 7, 6, 5], 2, 3, 'down']
[[0, 2, 3, 1, 8, 4, 7, 6, 5], [2, 0, 3, 1, 8, 4, 7, 6, 5], 3, 2, 'right']
[[1, 2, 3, 0, 8, 4, 7, 6, 5], [0, 2, 3, 1, 8, 4, 7, 6, 5], 4, 1, 'up']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 0, 8, 4, 7, 6, 5], 5, 0, 'left']
Puzzle Solved
**********End of Set - 1 Input - 4 Heuristic - 1 **********
**********Start of Set - 1 Input - 5 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [2, 3, 4, 1, 8, 0, 7, 6, 5]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 5 iterations
Total Number of Nodes expanded to find the solution are: 10
List Format [Current State, Previous State, gVal, hVal, Action]
[[2, 3, 4, 1, 8, 0, 7, 6, 5], [], 0, 5, 'root']
[[2, 3, 0, 1, 8, 4, 7, 6, 5], [2, 3, 4, 1, 8, 0, 7, 6, 5], 1, 4, 'down']
[[2, 0, 3, 1, 8, 4, 7, 6, 5], [2, 3, 0, 1, 8, 4, 7, 6, 5], 2, 3, 'right']
[[0, 2, 3, 1, 8, 4, 7, 6, 5], [2, 0, 3, 1, 8, 4, 7, 6, 5], 3, 2, 'right']
[[1, 2, 3, 0, 8, 4, 7, 6, 5], [0, 2, 3, 1, 8, 4, 7, 6, 5], 4, 1, 'up']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 0, 8, 4, 7, 6, 5], 5, 0, 'left']
Puzzle Solved
**********End of Set - 1 Input - 5 Heuristic - 1 **********
**********Start of Set - 2 Input - 1 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [3, 6, 4, 1, 0, 2, 8, 7, 5]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 41 iterations
Total Number of Nodes expanded to find the solution are: 74
List Format [Current State, Previous State, gVal, hVal, Action]
[[3, 6, 4, 1, 0, 2, 8, 7, 5], [], 0, 7, 'root']
[[3, 0, 4, 1, 6, 2, 8, 7, 5], [3, 6, 4, 1, 0, 2, 8, 7, 5], 1, 7, 'down']
[[0, 3, 4, 1, 6, 2, 8, 7, 5], [3, 0, 4, 1, 6, 2, 8, 7, 5], 2, 7, 'right']
[[1, 3, 4, 0, 6, 2, 8, 7, 5], [0, 3, 4, 1, 6, 2, 8, 7, 5], 3, 6, 'up']
[[1, 3, 4, 8, 6, 2, 0, 7, 5], [1, 3, 4, 0, 6, 2, 8, 7, 5], 4, 5, 'up']
[[1, 3, 4, 8, 6, 2, 7, 0, 5], [1, 3, 4, 8, 6, 2, 0, 7, 5], 5, 4, 'left']
[[1, 3, 4, 8, 0, 2, 7, 6, 5], [1, 3, 4, 8, 6, 2, 7, 0, 5], 6, 3, 'down']
[[1, 3, 4, 8, 2, 0, 7, 6, 5], [1, 3, 4, 8, 0, 2, 7, 6, 5], 7, 3, 'left']
[[1, 3, 0, 8, 2, 4, 7, 6, 5], [1, 3, 4, 8, 2, 0, 7, 6, 5], 8, 2, 'down']
[[1, 0, 3, 8, 2, 4, 7, 6, 5], [1, 3, 0, 8, 2, 4, 7, 6, 5], 9, 1, 'right']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 0, 3, 8, 2, 4, 7, 6, 5], 10, 0, 'up']
Puzzle Solved
**********End of Set - 2 Input - 1 Heuristic - 1 **********
**********Start of Set - 2 Input - 2 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [7, 1, 2, 6, 8, 3, 0, 5, 4]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 26 iterations
Total Number of Nodes expanded to find the solution are: 44
List Format [Current State, Previous State, gVal, hVal, Action]
[[7, 1, 2, 6, 8, 3, 0, 5, 4], [], 0, 8, 'root']
[[7, 1, 2, 0, 8, 3, 6, 5, 4], [7, 1, 2, 6, 8, 3, 0, 5, 4], 1, 8, 'down']
[[0, 1, 2, 7, 8, 3, 6, 5, 4], [7, 1, 2, 0, 8, 3, 6, 5, 4], 2, 8, 'down']
[[1, 0, 2, 7, 8, 3, 6, 5, 4], [0, 1, 2, 7, 8, 3, 6, 5, 4], 3, 7, 'left']
[[1, 2, 0, 7, 8, 3, 6, 5, 4], [1, 0, 2, 7, 8, 3, 6, 5, 4], 4, 6, 'left']
[[1, 2, 3, 7, 8, 0, 6, 5, 4], [1, 2, 0, 7, 8, 3, 6, 5, 4], 5, 5, 'up']
[[1, 2, 3, 7, 8, 4, 6, 5, 0], [1, 2, 3, 7, 8, 0, 6, 5, 4], 6, 4, 'up']
[[1, 2, 3, 7, 8, 4, 6, 0, 5], [1, 2, 3, 7, 8, 4, 6, 5, 0], 7, 3, 'right']
[[1, 2, 3, 7, 8, 4, 0, 6, 5], [1, 2, 3, 7, 8, 4, 6, 0, 5], 8, 2, 'right']
[[1, 2, 3, 0, 8, 4, 7, 6, 5], [1, 2, 3, 7, 8, 4, 0, 6, 5], 9, 1, 'down']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 0, 8, 4, 7, 6, 5], 10, 0, 'left']
Puzzle Solved
**********End of Set - 2 Input - 2 Heuristic - 1 **********
**********Start of Set - 2 Input - 3 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [1, 8, 2, 6, 7, 3, 0, 5, 4]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 30 iterations
Total Number of Nodes expanded to find the solution are: 52
List Format [Current State, Previous State, gVal, hVal, Action]
[[1, 8, 2, 6, 7, 3, 0, 5, 4], [], 0, 7, 'root']
[[1, 8, 2, 0, 7, 3, 6, 5, 4], [1, 8, 2, 6, 7, 3, 0, 5, 4], 1, 7, 'down']
[[1, 8, 2, 7, 0, 3, 6, 5, 4], [1, 8, 2, 0, 7, 3, 6, 5, 4], 2, 7, 'left']
[[1, 0, 2, 7, 8, 3, 6, 5, 4], [1, 8, 2, 7, 0, 3, 6, 5, 4], 3, 7, 'down']
[[1, 2, 0, 7, 8, 3, 6, 5, 4], [1, 0, 2, 7, 8, 3, 6, 5, 4], 4, 6, 'left']
[[1, 2, 3, 7, 8, 0, 6, 5, 4], [1, 2, 0, 7, 8, 3, 6, 5, 4], 5, 5, 'up']
[[1, 2, 3, 7, 8, 4, 6, 5, 0], [1, 2, 3, 7, 8, 0, 6, 5, 4], 6, 4, 'up']
[[1, 2, 3, 7, 8, 4, 6, 0, 5], [1, 2, 3, 7, 8, 4, 6, 5, 0], 7, 3, 'right']
[[1, 2, 3, 7, 8, 4, 0, 6, 5], [1, 2, 3, 7, 8, 4, 6, 0, 5], 8, 2, 'right']
[[1, 2, 3, 0, 8, 4, 7, 6, 5], [1, 2, 3, 7, 8, 4, 0, 6, 5], 9, 1, 'down']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 0, 8, 4, 7, 6, 5], 10, 0, 'left']
Puzzle Solved
**********End of Set - 2 Input - 3 Heuristic - 1 **********
**********Start of Set - 2 Input - 4 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [2, 8, 1, 4, 0, 3, 7, 6, 5]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 56 iterations
Total Number of Nodes expanded to find the solution are: 99
List Format [Current State, Previous State, gVal, hVal, Action]
[[2, 8, 1, 4, 0, 3, 7, 6, 5], [], 0, 5, 'root']
[[2, 8, 1, 0, 4, 3, 7, 6, 5], [2, 8, 1, 4, 0, 3, 7, 6, 5], 1, 5, 'right']
[[0, 8, 1, 2, 4, 3, 7, 6, 5], [2, 8, 1, 0, 4, 3, 7, 6, 5], 2, 5, 'down']
[[8, 0, 1, 2, 4, 3, 7, 6, 5], [0, 8, 1, 2, 4, 3, 7, 6, 5], 3, 5, 'left']
[[8, 1, 0, 2, 4, 3, 7, 6, 5], [8, 0, 1, 2, 4, 3, 7, 6, 5], 4, 5, 'left']
[[8, 1, 3, 2, 4, 0, 7, 6, 5], [8, 1, 0, 2, 4, 3, 7, 6, 5], 5, 4, 'up']
[[8, 1, 3, 2, 0, 4, 7, 6, 5], [8, 1, 3, 2, 4, 0, 7, 6, 5], 6, 3, 'right']
[[8, 1, 3, 0, 2, 4, 7, 6, 5], [8, 1, 3, 2, 0, 4, 7, 6, 5], 7, 3, 'right']
[[0, 1, 3, 8, 2, 4, 7, 6, 5], [8, 1, 3, 0, 2, 4, 7, 6, 5], 8, 2, 'down']
[[1, 0, 3, 8, 2, 4, 7, 6, 5], [0, 1, 3, 8, 2, 4, 7, 6, 5], 9, 1, 'left']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 0, 3, 8, 2, 4, 7, 6, 5], 10, 0, 'up']
Puzzle Solved
**********End of Set - 2 Input - 4 Heuristic - 1 **********
**********Start of Set - 2 Input - 5 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [1, 2, 3, 4, 5, 6, 0, 8, 7]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 45 iterations
Total Number of Nodes expanded to find the solution are: 76
List Format [Current State, Previous State, gVal, hVal, Action]
[[1, 2, 3, 4, 5, 6, 0, 8, 7], [], 0, 5, 'root']
[[1, 2, 3, 4, 5, 6, 8, 0, 7], [1, 2, 3, 4, 5, 6, 0, 8, 7], 1, 5, 'left']
[[1, 2, 3, 4, 5, 6, 8, 7, 0], [1, 2, 3, 4, 5, 6, 8, 0, 7], 2, 5, 'left']
[[1, 2, 3, 4, 5, 0, 8, 7, 6], [1, 2, 3, 4, 5, 6, 8, 7, 0], 3, 5, 'down']
[[1, 2, 3, 4, 0, 5, 8, 7, 6], [1, 2, 3, 4, 5, 0, 8, 7, 6], 4, 5, 'right']
[[1, 2, 3, 0, 4, 5, 8, 7, 6], [1, 2, 3, 4, 0, 5, 8, 7, 6], 5, 5, 'right']
[[1, 2, 3, 8, 4, 5, 0, 7, 6], [1, 2, 3, 0, 4, 5, 8, 7, 6], 6, 4, 'up']
[[1, 2, 3, 8, 4, 5, 7, 0, 6], [1, 2, 3, 8, 4, 5, 0, 7, 6], 7, 3, 'left']
[[1, 2, 3, 8, 4, 5, 7, 6, 0], [1, 2, 3, 8, 4, 5, 7, 0, 6], 8, 2, 'left']
[[1, 2, 3, 8, 4, 0, 7, 6, 5], [1, 2, 3, 8, 4, 5, 7, 6, 0], 9, 1, 'down']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 8, 4, 0, 7, 6, 5], 10, 0, 'right']
Puzzle Solved
**********End of Set - 2 Input - 5 Heuristic - 1 **********
**********Start of Set - 3 Input - 1 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [2, 4, 8, 7, 3, 5, 6, 0, 1]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 374 iterations
Total Number of Nodes expanded to find the solution are: 608
List Format [Current State, Previous State, gVal, hVal, Action]
[[2, 4, 8, 7, 3, 5, 6, 0, 1], [], 0, 8, 'root']
[[2, 4, 8, 7, 3, 5, 6, 1, 0], [2, 4, 8, 7, 3, 5, 6, 0, 1], 1, 8, 'left']
[[2, 4, 8, 7, 3, 0, 6, 1, 5], [2, 4, 8, 7, 3, 5, 6, 1, 0], 2, 7, 'down']
[[2, 4, 8, 7, 0, 3, 6, 1, 5], [2, 4, 8, 7, 3, 0, 6, 1, 5], 3, 7, 'right']
[[2, 0, 8, 7, 4, 3, 6, 1, 5], [2, 4, 8, 7, 0, 3, 6, 1, 5], 4, 7, 'down']
[[2, 8, 0, 7, 4, 3, 6, 1, 5], [2, 0, 8, 7, 4, 3, 6, 1, 5], 5, 7, 'left']
[[2, 8, 3, 7, 4, 0, 6, 1, 5], [2, 8, 0, 7, 4, 3, 6, 1, 5], 6, 6, 'up']
[[2, 8, 3, 7, 0, 4, 6, 1, 5], [2, 8, 3, 7, 4, 0, 6, 1, 5], 7, 5, 'right']
[[2, 8, 3, 7, 1, 4, 6, 0, 5], [2, 8, 3, 7, 0, 4, 6, 1, 5], 8, 5, 'up']
[[2, 8, 3, 7, 1, 4, 0, 6, 5], [2, 8, 3, 7, 1, 4, 6, 0, 5], 9, 4, 'right']
[[2, 8, 3, 0, 1, 4, 7, 6, 5], [2, 8, 3, 7, 1, 4, 0, 6, 5], 10, 3, 'down']
[[2, 8, 3, 1, 0, 4, 7, 6, 5], [2, 8, 3, 0, 1, 4, 7, 6, 5], 11, 3, 'left']
[[2, 0, 3, 1, 8, 4, 7, 6, 5], [2, 8, 3, 1, 0, 4, 7, 6, 5], 12, 3, 'down']
[[0, 2, 3, 1, 8, 4, 7, 6, 5], [2, 0, 3, 1, 8, 4, 7, 6, 5], 13, 2, 'right']
[[1, 2, 3, 0, 8, 4, 7, 6, 5], [0, 2, 3, 1, 8, 4, 7, 6, 5], 14, 1, 'up']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 0, 8, 4, 7, 6, 5], 15, 0, 'left']
Puzzle Solved
**********End of Set - 3 Input - 1 Heuristic - 1 **********
**********Start of Set - 3 Input - 2 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [7, 0, 1, 6, 3, 2, 5, 8, 4]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 307 iterations
Total Number of Nodes expanded to find the solution are: 503
List Format [Current State, Previous State, gVal, hVal, Action]
[[7, 0, 1, 6, 3, 2, 5, 8, 4], [], 0, 8, 'root']
[[7, 1, 0, 6, 3, 2, 5, 8, 4], [7, 0, 1, 6, 3, 2, 5, 8, 4], 1, 8, 'left']
[[7, 1, 2, 6, 3, 0, 5, 8, 4], [7, 1, 0, 6, 3, 2, 5, 8, 4], 2, 8, 'up']
[[7, 1, 2, 6, 0, 3, 5, 8, 4], [7, 1, 2, 6, 3, 0, 5, 8, 4], 3, 8, 'right']
[[7, 1, 2, 6, 8, 3, 5, 0, 4], [7, 1, 2, 6, 0, 3, 5, 8, 4], 4, 8, 'up']
[[7, 1, 2, 6, 8, 3, 0, 5, 4], [7, 1, 2, 6, 8, 3, 5, 0, 4], 5, 8, 'right']
[[7, 1, 2, 0, 8, 3, 6, 5, 4], [7, 1, 2, 6, 8, 3, 0, 5, 4], 6, 8, 'down']
[[0, 1, 2, 7, 8, 3, 6, 5, 4], [7, 1, 2, 0, 8, 3, 6, 5, 4], 7, 8, 'down']
[[1, 0, 2, 7, 8, 3, 6, 5, 4], [0, 1, 2, 7, 8, 3, 6, 5, 4], 8, 7, 'left']
[[1, 2, 0, 7, 8, 3, 6, 5, 4], [1, 0, 2, 7, 8, 3, 6, 5, 4], 9, 6, 'left']
[[1, 2, 3, 7, 8, 0, 6, 5, 4], [1, 2, 0, 7, 8, 3, 6, 5, 4], 10, 5, 'up']
[[1, 2, 3, 7, 8, 4, 6, 5, 0], [1, 2, 3, 7, 8, 0, 6, 5, 4], 11, 4, 'up']
[[1, 2, 3, 7, 8, 4, 6, 0, 5], [1, 2, 3, 7, 8, 4, 6, 5, 0], 12, 3, 'right']
[[1, 2, 3, 7, 8, 4, 0, 6, 5], [1, 2, 3, 7, 8, 4, 6, 0, 5], 13, 2, 'right']
[[1, 2, 3, 0, 8, 4, 7, 6, 5], [1, 2, 3, 7, 8, 4, 0, 6, 5], 14, 1, 'down']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 0, 8, 4, 7, 6, 5], 15, 0, 'left']
Puzzle Solved
**********End of Set - 3 Input - 2 Heuristic - 1 **********
**********Start of Set - 3 Input - 3 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [7, 1, 4, 0, 8, 2, 3, 6, 5]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 395 iterations
Total Number of Nodes expanded to find the solution are: 653
List Format [Current State, Previous State, gVal, hVal, Action]
[[7, 1, 4, 0, 8, 2, 3, 6, 5], [], 0, 6, 'root']
[[7, 1, 4, 3, 8, 2, 0, 6, 5], [7, 1, 4, 0, 8, 2, 3, 6, 5], 1, 6, 'up']
[[7, 1, 4, 3, 8, 2, 6, 0, 5], [7, 1, 4, 3, 8, 2, 0, 6, 5], 2, 7, 'left']
[[7, 1, 4, 3, 0, 2, 6, 8, 5], [7, 1, 4, 3, 8, 2, 6, 0, 5], 3, 7, 'down']
[[7, 1, 4, 0, 3, 2, 6, 8, 5], [7, 1, 4, 3, 0, 2, 6, 8, 5], 4, 7, 'right']
[[0, 1, 4, 7, 3, 2, 6, 8, 5], [7, 1, 4, 0, 3, 2, 6, 8, 5], 5, 7, 'down']
[[1, 0, 4, 7, 3, 2, 6, 8, 5], [0, 1, 4, 7, 3, 2, 6, 8, 5], 6, 6, 'left']
[[1, 3, 4, 7, 0, 2, 6, 8, 5], [1, 0, 4, 7, 3, 2, 6, 8, 5], 7, 6, 'up']
[[1, 3, 4, 7, 2, 0, 6, 8, 5], [1, 3, 4, 7, 0, 2, 6, 8, 5], 8, 6, 'left']
[[1, 3, 0, 7, 2, 4, 6, 8, 5], [1, 3, 4, 7, 2, 0, 6, 8, 5], 9, 5, 'down']
[[1, 0, 3, 7, 2, 4, 6, 8, 5], [1, 3, 0, 7, 2, 4, 6, 8, 5], 10, 4, 'right']
[[1, 2, 3, 7, 0, 4, 6, 8, 5], [1, 0, 3, 7, 2, 4, 6, 8, 5], 11, 3, 'up']
[[1, 2, 3, 7, 8, 4, 6, 0, 5], [1, 2, 3, 7, 0, 4, 6, 8, 5], 12, 3, 'up']
[[1, 2, 3, 7, 8, 4, 0, 6, 5], [1, 2, 3, 7, 8, 4, 6, 0, 5], 13, 2, 'right']
[[1, 2, 3, 0, 8, 4, 7, 6, 5], [1, 2, 3, 7, 8, 4, 0, 6, 5], 14, 1, 'down']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 0, 8, 4, 7, 6, 5], 15, 0, 'left']
Puzzle Solved
**********End of Set - 3 Input - 3 Heuristic - 1 **********
**********Start of Set - 3 Input - 4 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [3, 1, 4, 2, 7, 0, 8, 5, 6]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 410 iterations
Total Number of Nodes expanded to find the solution are: 673
List Format [Current State, Previous State, gVal, hVal, Action]
[[3, 1, 4, 2, 7, 0, 8, 5, 6], [], 0, 8, 'root']
[[3, 1, 4, 2, 7, 6, 8, 5, 0], [3, 1, 4, 2, 7, 0, 8, 5, 6], 1, 8, 'up']
[[3, 1, 4, 2, 7, 6, 8, 0, 5], [3, 1, 4, 2, 7, 6, 8, 5, 0], 2, 7, 'right']
[[3, 1, 4, 2, 0, 6, 8, 7, 5], [3, 1, 4, 2, 7, 6, 8, 0, 5], 3, 7, 'down']
[[3, 0, 4, 2, 1, 6, 8, 7, 5], [3, 1, 4, 2, 0, 6, 8, 7, 5], 4, 7, 'down']
[[0, 3, 4, 2, 1, 6, 8, 7, 5], [3, 0, 4, 2, 1, 6, 8, 7, 5], 5, 7, 'right']
[[2, 3, 4, 0, 1, 6, 8, 7, 5], [0, 3, 4, 2, 1, 6, 8, 7, 5], 6, 7, 'up']
[[2, 3, 4, 1, 0, 6, 8, 7, 5], [2, 3, 4, 0, 1, 6, 8, 7, 5], 7, 7, 'left']
[[2, 3, 4, 1, 6, 0, 8, 7, 5], [2, 3, 4, 1, 0, 6, 8, 7, 5], 8, 7, 'left']
[[2, 3, 0, 1, 6, 4, 8, 7, 5], [2, 3, 4, 1, 6, 0, 8, 7, 5], 9, 6, 'down']
[[2, 0, 3, 1, 6, 4, 8, 7, 5], [2, 3, 0, 1, 6, 4, 8, 7, 5], 10, 5, 'right']
[[0, 2, 3, 1, 6, 4, 8, 7, 5], [2, 0, 3, 1, 6, 4, 8, 7, 5], 11, 4, 'right']
[[1, 2, 3, 0, 6, 4, 8, 7, 5], [0, 2, 3, 1, 6, 4, 8, 7, 5], 12, 3, 'up']
[[1, 2, 3, 8, 6, 4, 0, 7, 5], [1, 2, 3, 0, 6, 4, 8, 7, 5], 13, 2, 'up']
[[1, 2, 3, 8, 6, 4, 7, 0, 5], [1, 2, 3, 8, 6, 4, 0, 7, 5], 14, 1, 'left']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 8, 6, 4, 7, 0, 5], 15, 0, 'down']
Puzzle Solved
**********End of Set - 3 Input - 4 Heuristic - 1 **********
**********Start of Set - 3 Input - 5 Heuristic - 1 **********
Solving 8-puzzle with A* algorithm using Displaced Tiles as a heuristic
Initial State of the puzzle: [7, 3, 1, 0, 8, 2, 6, 5, 4]
Final State of the puzzle: [1, 2, 3, 8, 0, 4, 7, 6, 5]
Final State is found in 386 iterations
Total Number of Nodes expanded to find the solution are: 624
List Format [Current State, Previous State, gVal, hVal, Action]
[[7, 3, 1, 0, 8, 2, 6, 5, 4], [], 0, 8, 'root']
[[7, 3, 1, 8, 0, 2, 6, 5, 4], [7, 3, 1, 0, 8, 2, 6, 5, 4], 1, 7, 'left']
[[7, 0, 1, 8, 3, 2, 6, 5, 4], [7, 3, 1, 8, 0, 2, 6, 5, 4], 2, 7, 'down']
[[7, 1, 0, 8, 3, 2, 6, 5, 4], [7, 0, 1, 8, 3, 2, 6, 5, 4], 3, 7, 'left']
[[7, 1, 2, 8, 3, 0, 6, 5, 4], [7, 1, 0, 8, 3, 2, 6, 5, 4], 4, 7, 'up']
[[7, 1, 2, 8, 0, 3, 6, 5, 4], [7, 1, 2, 8, 3, 0, 6, 5, 4], 5, 7, 'right']
[[7, 1, 2, 0, 8, 3, 6, 5, 4], [7, 1, 2, 8, 0, 3, 6, 5, 4], 6, 8, 'right']
[[0, 1, 2, 7, 8, 3, 6, 5, 4], [7, 1, 2, 0, 8, 3, 6, 5, 4], 7, 8, 'down']
[[1, 0, 2, 7, 8, 3, 6, 5, 4], [0, 1, 2, 7, 8, 3, 6, 5, 4], 8, 7, 'left']
[[1, 2, 0, 7, 8, 3, 6, 5, 4], [1, 0, 2, 7, 8, 3, 6, 5, 4], 9, 6, 'left']
[[1, 2, 3, 7, 8, 0, 6, 5, 4], [1, 2, 0, 7, 8, 3, 6, 5, 4], 10, 5, 'up']
[[1, 2, 3, 7, 8, 4, 6, 5, 0], [1, 2, 3, 7, 8, 0, 6, 5, 4], 11, 4, 'up']
[[1, 2, 3, 7, 8, 4, 6, 0, 5], [1, 2, 3, 7, 8, 4, 6, 5, 0], 12, 3, 'right']
[[1, 2, 3, 7, 8, 4, 0, 6, 5], [1, 2, 3, 7, 8, 4, 6, 0, 5], 13, 2, 'right']
[[1, 2, 3, 0, 8, 4, 7, 6, 5], [1, 2, 3, 7, 8, 4, 0, 6, 5], 14, 1, 'down']
[[1, 2, 3, 8, 0, 4, 7, 6, 5], [1, 2, 3, 0, 8, 4, 7, 6, 5], 15, 0, 'left']
Puzzle Solved
**********End of Set - 3 Input - 5 Heuristic - 1 **********