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Problem Statement

Sliders

A slider puzzle consists of a 5×5 board with 24 tiles numbered 1 to 24 and one empty space. Tiles can be slid into the empty space. The goal is to reach the target arrangement from a given starting arrangement.

Find the sum of the shortest path lengths for all 15-puzzle-like configurations on a 5×5 board with the empty space initially in the top-left corner.

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