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How to play Sudoku

Complete guide: the three rules of the 9×9 grid, how to reach the digits by elimination, controls on muta.pro — levels, check, hints — and techniques for beginners.

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In brief

Goal
Fill the 9×9 grid without repeats
Players
1
Game
5–25 min
Difficulty
Medium
Genre
Puzzles · logic

Game goal

Sudoku is a single-player logic puzzle on a square 9×9 field. The field is divided into nine 3×3 boxes, and some cells are already filled — these are starting clues. Your task is to enter digits into the empty cells so that all three rules are satisfied at once.

There is no math here: nothing needs to be added, only finding the single correct digit for each cell matters. A valid puzzle always has exactly one solution, and you can reach it through pure logic.

Preparation

Choose a difficulty level — Easy, Medium or Hard. It determines how many cells are revealed at the start: the higher the level, the fewer clues and the longer you have to think.

The revealed digits are fixed — they cannot be changed, they form the framework of the puzzle. All the other cells are empty, and it is up to you to fill them. The timer starts with the beginning of the game, and the counters on the right show how many cells remain and how many mistakes have been made.

Rules and how to solve

Row rule

In each horizontal row, the digits from 1 to 9 appear exactly once — no repeats.

Column rule

Each vertical column also contains all nine digits from 1 to 9, and none repeats.

Box rule 3×3

Within each of the nine 3×3 boxes, all digits from 1 to 9 appear once. This is the third and decisive constraint.

Elimination method

For an empty cell, mentally cross out the digits already present in its row, column and box. If only one remains — place it.

Only place

Sometimes it works the other way: a digit fits into a row, column or box in only one cell. Then place it there confidently.

From simple to complex

Start with areas that have many revealed digits — there the cells are solved fastest and open up approaches to the rest of the grid.

How it looks: moves explained

Mini fragments of the 9×9 grid. Revealed starting clues are dark, digits you entered are blue, the found digit is green. The line of reasoning inside a single 3×3 box is shown.

5
3
7
6
4
1
9
8
2
Elimination method. The box already has 8 digits, one cell is free. Only 4 is missing — so we place it.
2
111171111
9
4
5
6
1
3
8
Sole candidate. For the cell we cross out everything in its row, column and box. One digit survives — 7.
1
2
3
4
5
6
7
8
9
Box filled correctly. All nine digits 1–9 appear once — the box rule is satisfied. The game highlights the completed square.

Finishing and scoring

The game is won when all 81 cells are filled and match the correct solution. The grid lights up, and the game shows the result: the time spent and the number of mistakes.

A mistake is a digit that conflicts with one already present in the row, column or box — the error counter then increases. Each hint used also counts. The best times for each level are saved in the record table, so it pays to solve cleanly and quickly.

Controls on muta.pro

🖱️
Selecting a cell
Click an empty cell — its row, column, box and all identical numbers on the field will be highlighted.
🔢
Entering a digit
Press a digit on the bottom panel or a 1–9 key. The Erase button (or Backspace) clears the cell. The arrows move the cursor.
Check and hint
Check will report the number of incorrect cells without giving away the answer. Hint will reveal one correct digit.
🧩
Level and new game
The Easy / Medium / Hard buttons set the difficulty, New game will generate a fresh puzzle.

Tips

Count by numbers

The bottom panel shows how many copies of each digit have not yet been placed. Pick the one that has almost none left.

Do not guess

A good Sudoku is solved by logic without trial and error. If you feel like guessing, you have missed something — re-read the field.

Use the highlighting

Highlighting the row, column and box instantly shows the restrictions for a cell — it is a free map of eliminations.

Save your hints

A hint reveals a cell but counts against you. Resort to it only when you are honestly stuck.

Strategy: order and techniques

Sudoku is solved not by guessing but by a queue of techniques: the cheapest first, and only when they run out — the pricier ones. Such an order saves time and all but rules out mistakes, since every move is strictly forced.

The key idea is not to look for the answer at once, but to narrow the possibilities. Each technique either places a forced digit or removes a superfluous candidate; both bring the board closer to its single solution. Stick to this ladder and even a "hard" level breaks down into a series of obvious steps.

Scanning by digit

Take one digit, say 9, and run it across all the boxes. Often it is forced into the only free cell of a box — that opens the board up fastest.

Naked single

Look at a cell: if its row, column and box together exclude eight digits, the ninth must stand right here. The main move on the easy level.

Hidden single

Look at a line or box: if a digit fits there in only one cell, place it there, even if other candidates formally remained in the cell itself.

Pencil marks

When the obvious moves run dry, write all possible candidates into the cells. Only through them do the pairs, triples and pointing pairs of the next level become visible.

5
3
7
6
4
1
9
8
2

Naked single: the box's eight digits rule out everything except 4 — the central cell is forced.

Tactics: pairs and pointing lines

At the medium and hard level the singles run out, and techniques come into play that don't place a digit but strike out candidates. Each such elimination sooner or later gives rise to a new single — that is the whole strength of the method.

These techniques work only on written-out candidates, so first carefully fill in the marks in the stuck zone. Then look for where two or three cells share the same digits: such links are what let you remove a candidate outside the link.

37
1
37
9
?
2
4
8
6

Naked pair {3,7}: two cells share exactly these two digits, so 3 and 7 can be struck out of the other cells of the box and row — the cell with "?" clears up.

Naked pair

Two cells of a line with the same two candidates {a,b} take both digits between them. Strike a and b out of all other cells of that line.

Pointing pair

If in a box a digit is possible only in the cells of one row or column, along that line beyond the box you can safely erase it.

Hidden pair

If two digits within a line occur only in the same two cells, all other candidates are removed from those cells — the pair "undresses."

2
·
2
·
·
·
·
·
·

Pointing pair: in the box the digit 2 is possible only in the top row — so in that row outside the box we strike the two out.

Levels and variants

On muta.pro the three levels differ in the number of given cells and the depth of the techniques needed. The higher the level, the longer the chain of eliminations before the first new digit.

Easy

Plenty of clues; scanning and naked singles suffice. Marks are hardly needed — the board opens up by a straight look-through.

Medium

Singles run out fast. Without pencil marks and naked pairs you can't move on — here the technique from the second section becomes mandatory.

Hard

Pointing pairs, hidden pairs and sometimes X-Wing come into play. Bet on the order of techniques: cheap scans first, expensive chains after.

Classic sudoku is a 9×9 grid with 3×3 boxes, and it is exactly this one you solve on muta.pro. Beyond it exist dozens of kindred puzzles with the same logic of "each digit once."

Diagonal (X-Sudoku)

To the three rules both main diagonals are added: on each, too, all digits 1–9 without repetition. The diagonals give extra eliminations.

Mini 4×4 and 6×6

Reduced grids with digits 1–4 or 1–6. The same rules, but shorter — handy for practicing scanning and singles.

Common mistakes

Almost all sticking points in sudoku come not from the difficulty of the task but from broken discipline: guessing, forgotten marks, haste. Remove them — and the "hard" level stops seeming unmanageable.

A useful self-check rule: before every digit ask yourself why it is forced. If there is no clear answer — this is not a move but a guess, and it is better set aside, returning to scanning and marks.

  1. Guessing at random. A correct puzzle has one solution; any digit follows from logic. A digit placed at random doesn't conflict at once — the error surfaces a dozen moves later, and untangling it will be agonizing.
  2. Not erasing outdated marks. Placed a real digit — at once remove it from the candidates of the neighboring cells of the row, column and box. Otherwise an old mark leads you down a false trail.
  3. Keeping everything in your head. At the medium and hard level, without written-out candidates the pairs and pointing lines simply aren't visible — you'll circle in place.
  4. Fixating on one cell. If a cell won't yield, change the angle: scan by digit or take on the fullest box — a move will be found there faster.
  5. Ignoring "Check." The button shows only the number of wrong cells, but an error caught in time saves you from rewriting half the board.

Frequently asked questions

Do you need to know how to count?
No. The digits are just nine different symbols; nothing needs to be added or multiplied. Only the logic of placement matters: in the row below, all nine marks are different — that is exactly the goal.
417925386
Does the puzzle have one solution?
Yes. A valid Sudoku puzzle has a single correct fill-in, so the answer can always be reached by reasoning.
What does Check show?
How many cells are filled incorrectly (or that there are no errors yet), without revealing which ones. It helps catch a mistake in time.
Can you change the level mid-game?
Yes, tapping a different level immediately starts a new puzzle of the chosen difficulty.
Where to begin the solution — with a cell or with a digit?
The fastest way is to begin with a digit: take one and scan it across all nine boxes, looking for where it is forced. When such moves run out, move on to analyzing individual cells for naked and hidden singles.
How to tell it's time to move on to pairs?
As soon as scanning and singles stop giving new digits while empty cells still remain. That's the signal to write out the candidates and look for naked pairs, hidden pairs and pointing lines.
What to do if the solution hits a dead end?
Recheck the pencil marks — most often a dead end arises from a forgotten elimination after a placed digit. If the marks are correct, look for a pointing pair: it links a box to a line and usually opens up the neighboring box.
Does it help to begin with the emptiest box?
On the contrary: begin with the fullest boxes, rows and columns. There are fewer free cells there, so the digits are forced and singles are found almost instantly, opening up approaches to the empty zones.
Is X-Wing needed on muta.pro?
Only occasionally on the hard level. Easy and medium are cleared entirely by scanning, singles and pairs, so it's worth mastering X-Wing only after those techniques are honed to automatism.
Can sudoku be solved for speed?
Yes, the timer encourages it, but speed comes from the order of techniques, not from haste. Polished scanning by digits and careful marks give a better time than a feverish random sweep of the cells.
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