No Three

Finish No Three when every cell, edge, region, and fixed clue satisfies the nonadjacent shade no three line completion test. Completion is checked from the entire position, not from a displayed answer or a visual approximation.

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How to play

Finish No Three when every cell, edge, region, and fixed clue satisfies the nonadjacent shade no three line completion test. Completion is checked from the entire position, not from a displayed answer or a visual approximation.

  • Read the opening of No Three by locating every lane, clue, reserve, room, or fixed element named in its rule. Shaded cells never touch, white cells connect, clues count neighbouring shade, and no three shaded cells lie equally spaced on one straight line. The seeded deal and rules version reproduce that public starting information without exposing a hidden completion.
  • Check each proposed action against the current position and this boundary: Shaded cells never touch, white cells connect, clues count neighbouring shade, and no three shaded cells lie equally spaced on one straight line. Illegal, stale, and post-finish actions are rejected without changing the board.
  • Finish No Three when every cell, edge, region, and fixed clue satisfies the nonadjacent shade no three line completion test. Completion is checked from the entire position, not from a displayed answer or a visual approximation.

Strategy tips

  • Track shaded positions as coordinate pairs and eliminate any mark that would complete an equally spaced triple, while keeping a corridor for white connectivity.
  • Checking only adjacent shaded cells misses the long-range arithmetic-line rule; a separated third mark can be illegal across an entire row or column.
  • During the final few decisions, compare every unresolved obligation with the target: every cell, edge, region, and fixed clue satisfies the nonadjacent shade no three line completion test. Keep the option described in the strategy note available until the last forced dependency is settled.

Complete guide

Rules, scoring, and strategy

No Three uses the independently implemented No Three nonadjacent shade no three line rules v1 profile (R644). No Three is defined by one exact interaction: Shaded cells never touch, white cells connect, clues count neighbouring shade, and no three shaded cells lie equally spaced on one straight line.

Setup and opening position

Read the opening of No Three by locating every lane, clue, reserve, room, or fixed element named in its rule. Shaded cells never touch, white cells connect, clues count neighbouring shade, and no three shaded cells lie equally spaced on one straight line. The seeded deal and rules version reproduce that public starting information without exposing a hidden completion.

Legal moves and game flow

Check each proposed action against the current position and this boundary: Shaded cells never touch, white cells connect, clues count neighbouring shade, and no three shaded cells lie equally spaced on one straight line. Illegal, stale, and post-finish actions are rejected without changing the board.

Winning and terminal positions

Finish No Three when every cell, edge, region, and fixed clue satisfies the nonadjacent shade no three line completion test. Completion is checked from the entire position, not from a displayed answer or a visual approximation. During the final few decisions, compare every unresolved obligation with the target: every cell, edge, region, and fixed clue satisfies the nonadjacent shade no three line completion test. Keep the option described in the strategy note available until the last forced dependency is settled.

Practical strategy

Track shaded positions as coordinate pairs and eliminate any mark that would complete an equally spaced triple, while keeping a corridor for white connectivity. Checking only adjacent shaded cells misses the long-range arithmetic-line rule; a separated third mark can be illegal across an entire row or column.

Questions players ask

How should players account for the ban on equally spaced shaded triples in No Three?

Track shaded positions as coordinate pairs and eliminate any mark that would complete an equally spaced triple, while keeping a corridor for white connectivity. This matters specifically because shaded cells never touch, white cells connect, clues count neighbouring shade, and no three shaded cells lie equally spaced on one straight line.

Which error should be checked first in No Three?

Checking only adjacent shaded cells misses the long-range arithmetic-line rule; a separated third mark can be illegal across an entire row or column. Recheck the legal boundary before choosing a replacement move.

What proves that No Three is finished?

No Three is complete once every cell, edge, region, and fixed clue satisfies the nonadjacent shade no three line completion test. The terminal check examines every relevant pile, cell, edge, room, and clue before awarding the result. Undo and redo expose alternative branches without revealing an authored answer.