How to Play Greater Than / Less Than Sudoku

Inequality signs between cells constrain which is larger

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The Rules

Standard Sudoku rules apply: fill every row, column, and 3×3 box with the digits 1–9, each appearing exactly once.

Greater Than Sudoku (also called Futoshiki-style Sudoku) places < and > inequality signs between adjacent cells. The sign indicates which of the two cells must hold the larger value. Some variants replace all given digits with inequality signs; others provide a hybrid. The constraints create chains of reasoning: if A > B > C > D, then A ≥ 4, B ≥ 3, C ≥ 2, D ≥ 1.

At a Glance

18–24
Typical givens
Cell Relationships
Constraint type
~7m
Easy solve time
~16m
Medium solve time

How to Solve Greater Than / Less Than Sudoku

Beginner
Chain Inequality — Minimums
Link inequalities in a chain: if A > B > C, then A ≥ 3, B ≥ 2, C ≥ 1. Use these minimums to prune candidates immediately.
Beginner
Chain Inequality — Maximums
In the chain A > B > C > D, also bound from above: A ≤ 9, B ≤ 8, C ≤ 7, D ≤ 6.
Intermediate
Inequality Propagation
After placing a digit, check all inequality arrows from that cell and eliminate impossible values from its neighbours.
Intermediate
Forced Single via Range
When an inequality chain reduces a cell's valid range to a single digit, place it directly.
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Common Questions

What is Greater Than Sudoku?

Greater Than Sudoku is a variant where inequality signs (< and >) appear between adjacent cells. Each sign shows which of the two neighbouring cells must hold a larger digit. Standard Sudoku rules apply — every row, column, and box contains 1–9 exactly once.

How do I use the inequality clues?

Each inequality sign tells you the relative order of two neighbouring digits. If you see A > B, then A must be greater than B. You can chain inequalities — if A > B > C, then A is at least 3 and C is at most 7. Propagating minimum and maximum values through chains of inequalities is the core solving technique.

What is the most useful first move?

Find cells that sit at the end of a long chain of inequalities pointing toward them — these cells must hold either the minimum or maximum value in the chain. A cell where five arrows all point away from it must hold the largest digit in all five relationships; combined with Sudoku constraints this often pins the digit immediately.

Is Greater Than Sudoku harder than regular Sudoku?

It depends on difficulty level. Easy Greater Than puzzles are comparable to medium classic Sudoku. Hard and expert puzzles require systematic bound propagation across many overlapping inequality chains, which is substantially harder than any classic Sudoku difficulty.

Can I solve Greater Than Sudoku without arithmetic?

Mostly yes — the inequalities involve relative ordering, not sums or products. The key skill is tracking minimum and maximum possible values for each cell as constraints propagate. Some players find this more intuitive than cage arithmetic in variants like Killer or Arrow Sudoku.

How long does Greater Than Sudoku take to solve?

Easy puzzles take 8–18 minutes. Medium puzzles run 18–35 minutes. Hard puzzles average 35–65 minutes and expert puzzles can take over 90 minutes. Longer inequality chains dramatically increase solve time at hard and expert levels.

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