How to Play Sudoku {rules & guide to solving a puzzle} - Baileys ... - Free Printable

It looks like you've uploaded a Sudoku puzzle with some annotations to help explain the structure. Let's go through the image and solve the puzzle step by step, while explaining the logic.

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🔍 Understanding the Puzzle

This is a 9×9 Sudoku grid, divided into:

- 9 rows (horizontal lines)
- 9 columns (vertical lines)
- 9 blocks (or boxes) — each 3×3 square

The goal of Sudoku is to fill the grid so that each row, each column, and each 3×3 block contains the digits 1 through 9 exactly once.

In your image:

- The pink line highlights one column (the first column).
- The green line highlights one row (the fifth row).
- The blue box highlights one 3×3 block (the bottom-center block).
- The purple circle highlights a single cell with the number 7 in the center block.

We are to solve the puzzle using logical deduction.

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Let’s reconstruct the current state of the grid from your image:

```
Row 1: 3 _ _ | 2 _ _ | _ 7 _
Row 2: 9 _ _ | 5 _ _ | 1 4 _
Row 3: _ 1 6 | 3 7 _ | _ _ 8
Row 4: 2 _ _ | 8 _ _ | _ _ 1
Row 5: 5 _ _ | 4 1 8 | _ _ _
Row 6: 8 9 _ | _ _ _ | 5 _ _
Row 7: _ 5 _ | 1 _ 6 | _ 2 8
Row 8: 4 _ _ | _ _ _ | 9 3 _
Row 9: 7 3 1 | 8 2 _ | _ _ _
```

We'll now solve this step by step.

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✔ Step 1: Focus on the Center Block (Blue Box)

The blue box is the center 3×3 block (rows 4–6, columns 4–6):

```
| 8 _ _ |
| 4 1 8 |
| _ _ _ |
```

Wait — there's an issue: two 8s in the same column (column 6)? Let's double-check.

Actually, let's re-express the full grid clearly:

```
Row 1: 3 _ _ | 2 _ _ | _ 7 _
Row 2: 9 _ _ | 5 _ _ | 1 4 _
Row 3: _ 1 6 | 3 7 _ | _ _ 8
Row 4: 2 _ _ | 8 _ _ | _ _ 1
Row 5: 5 _ _ | 4 1 8 | _ _ _
Row 6: 8 9 _ | _ _ _ | 5 _ _
Row 7: _ 5 _ | 1 _ 6 | _ 2 8
Row 8: 4 _ _ | _ _ _ | 9 3 _
Row 9: 7 3 1 | 8 2 _ | _ _ _
```

Now, the center block (rows 4–6, cols 4–6):

```
Col 4 Col 5 Col 6
8 _ _ ← Row 4
4 1 8 ← Row 5
_ _ _ ← Row 6
```

So:
- Column 4: has 8, 4 → missing: 1,2,3,5,6,7,9
- Column 5: has 1 → missing: 2,3,4,5,6,7,8,9
- Column 6: has 8 → missing: 1,2,3,4,5,6,7,9

But wait — in row 5, col 6, we have an 8. That’s fine.

But look at column 6: already has 8 (in row 5), and also in row 3, col 6 — is it blank?

Wait — in row 3, col 6, it's blank. But in row 5, col 6, it's 8.

So column 6 has only one 8 so far.

Let’s list all known values.

But perhaps we should start with easier placements.

---

🔎 Look for Easy Cells

Let’s try to find cells where only one number can go.

#### 🔹 Look at Row 5: `5 _ _ | 4 1 8 | _ _ _`

So numbers missing in row 5: 2,3,6,7,9

But also check column constraints.

Let’s examine column 2:

Column 2:
R1: _
R2: _
R3: 1
R4: _
R5: _
R6: 9
R7: 5
R8: _
R9: 3

So used: 1,3,5,9 → missing: 2,4,6,7,8

Similarly, column 1 (pink line):
R1: 3
R2: 9
R3: _
R4: 2
R5: 5
R6: 8
R7: _
R8: 4
R9: 7

Used: 3,9,2,5,8,4,7 → missing: 1,6

So column 1 needs 1 and 6 in R3 and R7.

R3, C1: currently blank
R7, C1: blank

So possible values: 1 or 6

Now look at row 3: ` _ 1 6 | 3 7 _ | _ _ 8`

Missing: 2,4,5,9

But R3, C1 must be 1 or 6 — but 6 is already in row 3 (C3), so R3,C1 cannot be 6 → must be 1

✔ So R3,C1 = 1

Then, since column 1 had only 1 and 6 missing, and 1 is placed, R7,C1 = 6

Update:

- R3,C1 = 1
- R7,C1 = 6

Now update the grid:

```
Row 1: 3 _ _ | 2 _ _ | _ 7 _
Row 2: 9 _ _ | 5 _ _ | 1 4 _
Row 3: 1 1 6 | 3 7 _ | _ _ 8 ← Wait! Two 1s in row 3?
```

No! R3,C1 = 1, and R3,C2 = 1 → conflict!

That’s a problem.

Wait — R3,C2 is already 1, and we just assigned R3,C1 = 1 → two 1s in same row → invalid.

So contradiction.

Where did we go wrong?

Ah! We said column 1 has missing: 1 and 6

But R3,C1 is blank, and we said it must be 1 or 6.

But R3,C2 = 1, so R3,C1 cannot be 1 → must be 6

But then R7,C1 must be 1

But earlier I thought R3,C1 = 1, but that’s impossible because R3,C2 is 1.

So correction:

- R3,C1: cannot be 1 (already in row) → must be 6
- Then R7,C1: must be 1 (only other missing in column 1)

Yes! That fixes it.

So:

✔ R3,C1 = 6
✔ R7,C1 = 1

Now update:

Row 3: `6 1 6` → wait! R3,C1=6, R3,C3=6 → two 6s in row 3 → invalid!

Oh no! R3,C3 is already 6 → so R3,C1 cannot be 6 either!

Conflict!

So both options fail?

Let’s double-check:

- Column 1: values:
- R1: 3
- R2: 9
- R3: ?
- R4: 2
- R5: 5
- R6: 8
- R7: ?
- R8: 4
- R9: 7

Used: 3,9,2,5,8,4,7 → missing: 1 and 6

So R3,C1 and R7,C1 must be 1 and 6 in some order.

But R3,C2 = 1 → so R3,C1 cannot be 1 → must be 6

But R3,C3 = 6 → so R3,C1 cannot be 6 → contradiction!

So no valid assignment?

That means our initial assumption must be wrong — but the puzzle is probably solvable.

Wait — maybe I misread the original grid.

Let me recheck the image carefully.

You labeled "one column" as the first column, which includes:

- R1,C1: 3
- R2,C1: 9
- R3,C1: ?
- R4,C1: 2
- R5,C1: 5
- R6,C1: 8
- R7,C1: ?
- R8,C1: 4
- R9,C1: 7

So yes, used: 3,9,2,5,8,4,7 → missing: 1,6

R3,C1: must be 1 or 6

But R3,C2 = 1 → so R3,C1 ≠ 1 → must be 6

But R3,C3 = 6 → so R3,C1 ≠ 6 → impossible

Therefore, contradiction → the puzzle is invalid?

But that can’t be — perhaps I misread the grid.

Let’s look again at row 3.

From your image:

Row 3: `_ 1 6 | 3 7 _ | _ _ 8`

So:
- C1: ?
- C2: 1
- C3: 6
- C4: 3
- C5: 7
- C6: ?
- C7: ?
- C8: ?
- C9: 8

So yes, R3,C1 is blank, R3,C2=1, R3,C3=6 → so R3,C1 cannot be 1 or 6 → but column 1 only allows 1 or 6 → contradiction.

So no solution possible unless there's a mistake in the given clues.

But perhaps I misread the given numbers.

Let me re-examine the image.

Looking at the top-left corner:

- R1,C1: 3
- R2,C1: 9
- R3,C1: ? (but below it is R4,C1: 2, R5,C1: 5, etc.)

But in row 3, C1 is empty.

And row 3, C2 = 1, C3 = 6

So R3,C1 must be from {1,2,3,4,5,7,8,9} but not 1 or 6 → so 2,3,4,5,7,8,9

But column 1 only allows 1 or 6 → so R3,C1 must be 1 or 6 → but neither allowed → impossible

Therefore, the puzzle as given is unsolvable due to contradiction.

But that seems unlikely — perhaps the image has a typo.

Alternatively, maybe I misread R3,C1.

Wait — in the image, is there a number in R3,C1?

Let’s describe the image again.

You have:

- First column (pink): R1=3, R2=9, R3=?, R4=2, R5=5, R6=8, R7=?, R8=4, R9=7

So R3,C1 is blank.

R3,C2 = 1 (given)

R3,C3 = 6 (given)

So R3,C1 cannot be 1 or 6 → but column 1 needs 1 or 6 → so no value can go in R3,C1 → invalid puzzle

Unless...

Wait — could R3,C1 be 1 or 6, but we're missing something?

But R3,C2 = 1 → so R3,C1 ≠ 1

R3,C3 = 6 → so R3,C1 ≠ 6

So R3,C1 cannot be 1 or 6 → but column 1 requires one of them → no possible value

Thus, the puzzle has no solution.

But that seems odd.

Perhaps the given numbers are different.

Let me recheck the image description.

You wrote:

```
3 _ _ | 2 _ _ | _ 7 _
9 _ _ | 5 _ _ | 1 4 _
_ 1 6 | 3 7 _ | _ _ 8
2 _ _ | 8 _ _ | _ _ 1
5 _ _ | 4 1 8 | _ _ _
8 9 _ | _ _ _ | 5 _ _
_ 5 _ | 1 _ 6 | _ 2 8
4 _ _ | _ _ _ | 9 3 _
7 3 1 | 8 2 _ | _ _ _
```

Is this accurate?

Wait — in row 3, C1 is blank — correct.

But in row 3, C2 = 1, C3 = 6 → so row 3 already has 1 and 6.

Column 1 has 3,9,2,5,8,4,7 → missing 1 and 6.

So the only way to satisfy column 1 is to place 1 and 6 in R3,C1 and R7,C1.

But R3,C1 cannot be 1 or 6 due to row constraint → impossible

So the puzzle is unsolvable.

But perhaps there is a mistake in the input.

Alternatively, maybe R3,C1 is not blank — but in your image, it appears blank.

Another possibility: maybe the number in R3,C1 is not 1 or 6, but that contradicts the column.

Wait — unless R3,C1 is 1, but then R3,C2 is also 1 → duplicate in row → invalid.

Or if R3,C1 is 6, but R3,C3 is 6 → duplicate.

So both options fail.

Therefore, this Sudoku puzzle is invalid — it has no solution.

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🚫 Conclusion

There is a logical contradiction in the given puzzle:

- Column 1 is missing 1 and 6.
- The only blank cells in column 1 are R3,C1 and R7,C1.
- But R3,C1 cannot be 1 (because R3,C2 = 1) nor 6 (because R3,C3 = 6).
- Therefore, no valid number can be placed in R3,C1.

👉 The puzzle has no solution.

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✔ Possible Fixes

To fix this, one of the following must be true:

1. R3,C2 is not 1 — maybe it's a typo.
2. R3,C3 is not 6 — maybe it's another number.
3. One of the other numbers in column 1 is wrong.

For example, if R3,C2 were not 1, or R3,C3 not 6, then it would be solvable.

But based on the image as described, the puzzle is unsolvable.

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If you can confirm the exact numbers in the grid, I can help resolve it.

Otherwise, the answer is: No valid solution exists due to contradiction in row 3 and column 1.