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Mastering Goishi Hiroi: Japanese Stone-Picking Strategy

Dating back hundreds of years in Japanese culture and modernized by Nikoli,Goishi Hiroi is a pure test of foresight, parity, and topological geometry.

Rules of the Stone Master

  • Mandatory 90ยฐ Turn: Every step alternates between horizontal and vertical travel. If step \(k\) moved vertically, step \(k+1\) must move horizontally.
  • Line-of-Sight Visibility: From any stone, you can only pick the very first stone visible in a legal perpendicular direction. Any stone further down the line is blocked until the closer stone is removed.
  • Total Cleansing: The puzzle is only solved when every single stone has been collected into a single chain of length \(N\).

Key Deduction Insights

Look for โ€œdead-endโ€ stones located on outer rim coordinates that have only a single stone in their perpendicular rank or file. Such stones often must either be the final stone of the puzzle or must be visited at a precise moment when their sole exit is still uncollected. If picking stone A strands stone B with no valid entry angle, stone A must be delayed!