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Nine Men Hall

From the problem cellar

Dots and boxes problem #523

HardDark · take 9 of 17 boxes

Setting up the board…

Dark plays now and can secure at least 9 of the 17 boxes still open.

The task

To move
Dark
Difficulty
Hard
Goal
take 9 of 17 boxes

17 boxes are still unclaimed. The best line gives the side to move a margin of 1. A 5 × 5 board with many chains and perhaps loops. Control is worth more than the boxes on offer.

What to look for

  • Decline the last two boxes of a chain to keep control.
  • Control: make your opponent open the long chains.

How the answer is checked

There is exactly one first move that forces the result; any other first move allows the defence to escape. Moves that keep the forced result are accepted later in the line, and a move that loses it is taken back with a short note.

Show the key move

The key move is c6-d6. The main line runs: c6-d6 · d5-d6 · e1-f1 · f1-f2 · b1-b2 · b2-c2 · a1-a2 · a3-b3 · b2-b3 · b3-c3 · b3-b4 · c4-d4 · d4-e4 · d3-d4 · d4-d5 · b5-c5 · b4-b5 · a4-a5 · b5-b6 · a5-a6.