The Puzzle 8 is a variant of 15 ( Fifteen ). Fifteen is a slider puzzle, also a matlab function, with the goal being to create the matrix [1 2 3 4;5 6 7 8;9 10 11 12;13 14 15 0] where 0 is a hole.
Given a matrix m [3,3] and a matrix vset [n,k] of n possible solutions of up to length k determine which solution is valid. Return a vector [1,k] that produces [1 2 3;4 5 6;7 8 0]
Movement is of the Zero-0. 3-Up, 0-Down, 1-Left, 2-Right, 4 is Not used/SKIP
Some potential solutions may cause faults so try/catch may be required
The deepest solutions of 8 is 31 single moves. Solving this will be the next 8 challenge.
[867;254;301] and [647;850;321] have 29 solutions each of length 31
The Puzzle 8 cases are readily created using a 15 board.
Solve

Solution Stats

5 Solutions

4 Solvers

Last Solution submitted on Dec 12, 2023

Last 200 Solutions

Solution Comments

Show comments

Problem Recent Solvers4

Richard Zapor William David Hill Christian Schröder

Suggested Problems

More from this Author308

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!