A 6-cell board has exactly 14 valid rows (3 suns, 3 moons, no three in a row). A partial row configuration with n solutions is compatible with n of these 14.
The patterns below have 6 or more solutions.
14 solutions (1 pattern)
The completely empty row. Every valid completion works.
10 solutions (5 patterns)
A single × edge, all cells empty.
8 solutions (5 patterns)
Two or three × edges at even distance (2 or 4 cells apart).
At even distance the constrained cell pairs never interact through the three-in-a-row rule, so each × can be assigned independently.
7 solutions (12 patterns)
A single filled cell, no edge constraints. One known symbol eliminates half the completions.
6 solutions (6 patterns)
Two × edges at odd distance (1 or 3 cells apart).
At odd distance the constrained cells interact through the three-in-a-row rule, eliminating 2 of the 8 potential completions.
5 solutions and below
The remaining partial configurations are too numerous to list exhaustively:
| Solutions | Patterns |
|---|---|
5 |
82 |
4 |
167 |
3 |
330 |
2 |
2,934 |
1 |
20,064 |
Patterns with 1 or 2 solutions are where useful deductions usually happen.