Setup and opening position
A selection of cells is fixed with numbers, and arrows between orthogonally adjacent cells identify which endpoint is lower and which is higher. Empty cells accept values from one through four.
Inequality Puzzle
Complete the unique Latin square that preserves all givens and satisfies every inequality on the grid.
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How to play
Complete the unique Latin square that preserves all givens and satisfies every inequality on the grid.
- A selection of cells is fixed with numbers, and arrows between orthogonally adjacent cells identify which endpoint is lower and which is higher. Empty cells accept values from one through four.
- Enter one through four in each editable cell. Every row and column must contain each value exactly once, each fixed clue stays unchanged, and every displayed lower-to-higher relation must remain true.
- Complete the unique Latin square that preserves all givens and satisfies every inequality on the grid.
Strategy tips
- Use a chain of inequalities to bound its endpoints before guessing individual values, then cross those ranges with the numbers already excluded by the cell's row and column.
- Reading only the symbol's visual direction can reverse a relation; follow the marked lower and higher endpoints and verify the actual numeric comparison after every entry.
- For the final blanks, list the one missing value in each row and confirm that those forced values also complete their columns and inequality chains.
Complete guide
Rules, scoring, and strategy
Inequality Puzzle is a complete browser implementation with its own versioned rules profile. Complete a four-by-four Latin square while obeying the greater-than and less-than relations between neighboring cells.
Legal moves and game flow
Enter one through four in each editable cell. Every row and column must contain each value exactly once, each fixed clue stays unchanged, and every displayed lower-to-higher relation must remain true.
Winning and terminal positions
Complete the unique Latin square that preserves all givens and satisfies every inequality on the grid. For the final blanks, list the one missing value in each row and confirm that those forced values also complete their columns and inequality chains.
Practical strategy
Use a chain of inequalities to bound its endpoints before guessing individual values, then cross those ranges with the numbers already excluded by the cell's row and column. Reading only the symbol's visual direction can reverse a relation; follow the marked lower and higher endpoints and verify the actual numeric comparison after every entry.
Questions players ask
What is the objective in Inequality Puzzle?
Complete the unique Latin square that preserves all givens and satisfies every inequality on the grid.
Which moves are legal in Inequality Puzzle?
Enter one through four in each editable cell. Every row and column must contain each value exactly once, each fixed clue stays unchanged, and every displayed lower-to-higher relation must remain true.
What should I plan first in Inequality Puzzle?
Use a chain of inequalities to bound its endpoints before guessing individual values, then cross those ranges with the numbers already excluded by the cell's row and column.