Hvernig á að spila Greater Than / Less Than Suðoku

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Reglurnar

Standard Sudoku reglur gilda: fylltu hverja röð, dálk og 3×3 kassa með tölustöfunum 1–9, hver birtist nákvæmlega einu sinni.

Greater Than Sudoku (einnig kallað Futoshiki-style Sudoku) setur < og > inequality signs milli adjacent cells. Táknið gefur til kynna hvort af tveimur cells verður að halda stærra value. Sumar variants skipta út öllum given digits með inequality signs; aðrar veita hybrid. Constraints skapa keðjur af reasoning: ef A > B > C > D, þá A ≥ 4, B ≥ 3, C ≥ 2, D ≥ 1.

Fyrir hvaðan þessi þraut kom, hvernig hún ber saman við skyld afbrigði og stefnusamantekt, sjáðu okkar Greater Than / Less Than Suðoku yfirlit yfirbreytinga.

Í fljótu bragði

18–24
Dæmigerðar gefnar tölur
Reitasambönd
Takmörk tegund
~7m
Auðvelt leysitími
~16m
Miðlungs leysitími

Hvernig á að leysa Greater Than / Less Than Suðoku

Byrjandi
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.
Byrjandi
Chain Inequality — Maximums
In the chain A > B > C > D, also bound from above: A ≤ 9, B ≤ 8, C ≤ 7, D ≤ 6.
Miðlungs
Inequality Propagation
After placing a digit, check all inequality arrows from that cell and eliminate impossible values from its neighbours.
Miðlungs
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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Algengar spurningar

Hvað er 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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