Stepping Stones Puzzle

Stepping Stones Puzzle

This task is adapted from following video with Neil Sloane (founder of the On-Line Encyclopedia of Integer Sequences), that you should watch first to learn, how this excellent puzzle works.

You have got a certain number of 🟤 stones (1 point each) anywhere on the board. Now you add ⚪ stones with increasing points value (2, 3, 4 ...) on the board. The rule of placement is: you can only put down a ⚪ stone with value k if sum of values of its eight neighbors (🟤 and/or ⚪) is k.

To keep this problem manageable, the placement of stones...

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