8-Puzzle Problem - Githubissues

alo7lika commented 2 hours ago

Issue will be closed if:

1) You mention more than one algorithm. You can create a separate issue for each algorithm once the current one is completed.
2) You propose an algorithm that is already present or has been mentioned in a previous issue.
3) You create a new issue without completing your previous issue.

Note: These actions will be taken seriously. Failure to follow the guidelines may result in the immediate closure of your issue.

Name:

[8-Puzzle Problem]

About:

Solve the 8-puzzle problem using backtracking. The puzzle consists of 8 numbered tiles in a 3x3 grid, and the goal is to arrange the tiles in order.

The 8-puzzle problem consists of a 3x3 grid with eight numbered tiles (1-8) and one empty space. The goal is to arrange the tiles in a specific order by sliding them into the empty space. The problem can be solved using various algorithms, with backtracking being one of the efficient approaches.

Approach:

State Representation: Represent the state of the puzzle as a 2D array or a string.
Goal State: Define the goal state (e.g., [1, 2, 3, 4, 5, 6, 7, 8, 0]).
Possible Moves: Identify possible moves for the empty space (up, down, left, right).
Backtracking: Use backtracking to explore all possible configurations of the puzzle:
- Generate the next possible states by moving the tiles.
- Check if the new state has already been visited to avoid loops.
- If the goal state is reached, return the solution path.
Visualization (Optional): Provide a visualization of the steps taken to reach the solution.

Time Complexity:

The time complexity of the backtracking algorithm for solving the 8-puzzle problem is O(b^d), where:

( b ) is the branching factor (number of possible moves from each state).
( d ) is the depth of the solution.

Space Complexity:

The space complexity is O(b*d) due to storing states in memory during backtracking.

Labels:

new algorithm, gssoc-ext, hacktoberfest, level1

Assignees:

[x] Contributor in GSSoC-ext
[x] Want to work on it

Additional Notes:

Ensure to test the algorithm with various initial states to validate its correctness.
Consider edge cases, such as already solved puzzles or unsolvable configurations.
Document the code clearly and include examples of input and output.

github-actions[bot] commented 2 hours ago

👋 Thank you for raising an issue! We appreciate your effort in helping us improve. Our team will review it shortly. Stay tuned!