Step-by-step tutorial
How to solve hard Sudoku, step by step
Seven techniques, in the exact order to apply them. No guessing, ever.
Most people hit a wall the first time they play a Hard Sudoku. The techniques that finished every Easy and most Mediums — Naked Single, Hidden Single — suddenly aren't enough. That's not you plateauing; that's the puzzle demanding two new techniques. This is the exact order to apply them.
Step 1 — Pencil-mark every empty cell
The single non-negotiable habit on Hard boards. For every empty cell, note every digit that isn't already in its row, column or box. This takes 3–5 minutes upfront and saves you 20 minutes of staring.
Step 2 — Sweep for Naked Singles
A cell with exactly one pencil-mark is a Naked Single — write it in immediately, then update the candidates of every other cell it constrains. Repeat until no Naked Singles remain. Do this after every deduction.
Step 3 — Sweep for Hidden Singles
For each digit 1–9, scan every unit (row, column, box). If a digit has only one cell in a unit where it can go — even if that cell has other candidates — place it. Hidden Singles unlock most Hard puzzles.
Step 4 — Find a Naked Pair
Two cells in the same unit whose candidates are exactly the same two digits (say {3,7}). Those two digits must occupy those two cells, so they can be eliminated from every other cell in that unit. This is where Hard boards usually crack.
Step 5 — Look for a Pointing Pair
Inside a single box, if a digit's only candidates fall on the same row or column, that digit must live on that row/column inside the box — so it can be eliminated from the rest of that row/column outside the box. Small move, big cascade.
Step 6 — Try Box/Line Reduction
The mirror of Pointing Pair: if a digit's only candidates in a row (or column) all sit inside the same 3×3 box, that digit must be inside that box — eliminate it from the other cells of that box outside the row/column.
Step 7 — If stuck, walk away for 10 minutes
Genuinely. Sudoku is a pattern-recognition task, and pattern recognition benefits from short breaks more than any other cognitive skill. When you come back, the Hidden Single you missed will jump out. Do not guess. If a Hard puzzle needs guessing, it's a bad puzzle — and Zeloku doesn't generate bad puzzles.
The mental order matters
Every experienced solver runs these seven steps in the same order on every Hard board. Steps 2 and 3 (Naked & Hidden Singles) get re-run after every single deduction — every time you place a digit, sweep the whole board for a new Single before doing anything else. Steps 4–6 (Naked Pair, Pointing Pair, Box/Line) come out only when the Singles pass finds nothing new. Step 7 is the discipline nobody talks about — resting, not restarting.
Practice on real Hard boards
- Play today's free Hard Sudoku. Every technique above appears at least once.
- Read the annotated Pointing Pair page — the highest-value single technique on Hard boards.
- Print the Hard Sudoku booklet PDF for a week of pen-and-paper practice.
- Stuck? Paste your board into the step-by-step Solver — it names the technique needed for the next move.
- Not sure which step you're missing? The Sudoku tips for when you're stuck guide diagnoses it by difficulty.