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Nine Men Hall

From the problem cellar

Dots and boxes problem #528

HardLight · take 18 of 25 boxes

Setting up the board…

Light plays now and can secure at least 18 of the 25 boxes still open.

The task

To move
Light
Difficulty
Hard
Goal
take 18 of 25 boxes

25 boxes are still unclaimed. The best line gives the side to move a margin of 11. 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 · c5-d5 · a1-b1 · a1-a2 · a6-b6 · a5-a6 · d1-e1 · e1-e2 · f1-f2 · e3-f3 · f2-f3 · f3-f4 · b2-c2 · c1-c2 · c2-d2 · a2-a3 · b2-b3 · c3-d3 · d2-d3 · d3-e3 · d4-e4 · c3-c4 · b3-b4 · a4-b4 · b4-b5 · b5-c5 · b6-c6 · e4-e5 · e5-f5 · e5-e6 · d6-e6.