Hard Sudoku Puzzles for Kids - Free Printable Worksheets - Free Printable
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Step-by-step solution for: Hard Sudoku Puzzles for Kids - Free Printable Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Hard Sudoku Puzzles for Kids - Free Printable Worksheets
It looks like you've uploaded a Sudoku puzzle. Let's solve it step by step and explain the logic.
Here’s the given Sudoku grid:
```
+-------+-------+-------+
| 9 | | 3 6 | | |
| 3 2 | | 6 | 9 8 |
| | | | 1 2 5 |
+-------+-------+-------+
| 5 2 9 | | | |
| 2 4 | 7 | | 5 | 3 |
| | 3 | | 2 | |
+-------+-------+-------+
| | 8 3 | | | 1 |
| | | | | |
| | | | | |
+-------+-------+-------+
```
But this formatting is a bit messy. Let me reconstruct the grid properly based on your input. It seems to be a standard 9x9 Sudoku grid, with some cells filled in.
Let me rewrite it clearly as a 9x9 grid (rows 1 to 9, columns 1 to 9):
```
Row 1: 9 _ _ | 3 6 | _ _ _
Row 2: 3 _ 2 | _ | 6 _ | 9 8
Row 3: _ _ _ | _ 1 2 | 5 _ _
Row 4: _ 5 2 | 9 _ _ | _ _ _
Row 5: 2 4 _ | 7 _ _ | 5 _ 3
Row 6: _ _ 3 | _ 2 _ | _ _ _
Row 7: _ 8 3 | _ _ _ | _ _ 1
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
Wait — actually, let's carefully parse the original image layout.
Looking at your input:
```
| 9 | | 3 6 | | |
| 3 | 2 | | 6 | 9 8 |
| | | | 1 2 5 |
| | 5 2 9 | | |
| 2 4 | 7 | | 5 | 3 |
| | 3 | | 2 | |
| | 8 3 | | | 1 |
| | | | | |
| | | | | |
```
This appears to have incorrect grouping. The standard Sudoku is 9x9, divided into 3x3 boxes.
Let me restructure it properly by assuming the correct 9x9 layout.
From your input, I can infer the following filled cells:
Let’s assign positions as (row, col), starting from (1,1) to (9,9).
We'll fill in the known numbers:
- (1,1) = 9
- (1,4) = 3, (1,5) = 6
- (2,1) = 3, (2,2) = 2, (2,5) = 6, (2,7) = 9, (2,8) = 8
- (3,5) = 1, (3,6) = 2, (3,7) = 5
- (4,2) = 5, (4,3) = 2, (4,4) = 9
- (5,1) = 2, (5,2) = 4, (5,4) = 7, (5,7) = 5, (5,9) = 3
- (6,3) = 3, (6,5) = 2
- (7,2) = 8, (7,3) = 3, (7,9) = 1
- (8,?) — nothing
- (9,?) — nothing
Wait — this is still ambiguous.
Let me try to interpret the original format again.
Your input was:
```
| 9 | | 3 6 | | |
| 3 | 2 | | 6 | 9 8 |
| | | | 1 2 5 |
| | 5 2 9 | | |
| 2 4 | 7 | | 5 | 3 |
| | 3 | | 2 | |
| | 8 3 | | | 1 |
| | | | | |
| | | | | |
```
The vertical bars suggest that each row is split into three parts (each of 3 columns), so likely:
Each line represents a row of 9 cells, grouped into 3 blocks of 3.
So let's break it down row by row:
---
Row 1: | 9 | | 3 6 | | |
→ This means:
- Col 1: 9
- Col 2: blank
- Col 3: blank
- Col 4: 3
- Col 5: 6
- Col 6: blank
- Col 7: blank
- Col 8: blank
- Col 9: blank
Wait — but "3 6" is two numbers in one cell? That doesn't make sense.
Ah! Likely, "3 6" means two separate cells: (1,4)=3, (1,5)=6
Similarly, "9 8" → (2,7)=9, (2,8)=8
"1 2 5" → (3,5)=1, (3,6)=2, (3,7)=5
"5 2 9" → (4,2)=5, (4,3)=2, (4,4)=9
"2 4" → (5,1)=2, (5,2)=4
"7" → (5,4)=7
"5 | 3" → (5,7)=5, (5,9)=3
"3" → (6,3)=3
"2" → (6,5)=2
"8 3" → (7,2)=8, (7,3)=3
"1" → (7,9)=1
Now let's write out the full 9x9 grid:
```
Row 1: 9 _ _ | 3 6 _ | _ _ _
Row 2: 3 2 _ | _ 6 _ | 9 8 _
Row 3: _ _ _ | _ 1 2 | 5 _ _
Row 4: _ 5 2 | 9 _ _ | _ _ _
Row 5: 2 4 _ | 7 _ _ | 5 _ 3
Row 6: _ _ 3 | _ 2 _ | _ _ _
Row 7: _ 8 3 | _ _ _ | _ _ 1
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
Now we can solve it!
---
We will use standard Sudoku rules:
- Each row must contain digits 1–9 without repetition.
- Each column must contain digits 1–9 without repetition.
- Each 3×3 box must contain digits 1–9 without repetition.
Let’s denote the grid as:
```
[1] [2] [3] | [4] [5] [6] | [7] [8] [9]
[10][11][12]| [13][14][15]| [16][17][18]
[19][20][21]| [22][23][24]| [25][26][27]
-----------------------------
[28][29][30]| [31][32][33]| [34][35][36]
[37][38][39]| [40][41][42]| [43][44][45]
[46][47][48]| [49][50][51]| [52][53][54]
-----------------------------
[55][56][57]| [58][59][60]| [61][62][63]
[64][65][66]| [67][68][69]| [70][71][72]
[73][74][75]| [76][77][78]| [79][80][81]
```
But easier to work row by row.
Let me write the grid clearly:
```
Row 1: 9 _ _ | 3 6 _ | _ _ _
Row 2: 3 2 _ | _ 6 _ | 9 8 _
Row 3: _ _ _ | _ 1 2 | 5 _ _
Row 4: _ 5 2 | 9 _ _ | _ _ _
Row 5: 2 4 _ | 7 _ _ | 5 _ 3
Row 6: _ _ 3 | _ 2 _ | _ _ _
Row 7: _ 8 3 | _ _ _ | _ _ 1
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
Let’s label the boxes:
Box 1: rows 1-3, cols 1-3
Box 2: rows 1-3, cols 4-6
Box 3: rows 1-3, cols 7-9
Box 4: rows 4-6, cols 1-3
Box 5: rows 4-6, cols 4-6
Box 6: rows 4-6, cols 7-9
Box 7: rows 7-9, cols 1-3
Box 8: rows 7-9, cols 4-6
Box 9: rows 7-9, cols 7-9
---
Let’s begin with cell (1,2).
#### Row 1: 9 _ _ | 3 6 _ | _ _ _
Missing: 1,2,4,5,7,8
Column 2: (1,2), (2,2)=2, (3,2), (4,2)=5, (5,2)=4, (6,2), (7,2)=8, (8,2), (9,2)
So col 2 has: 2,5,4,8 → missing: 1,3,6,7,9
Box 1: (1,1)=9, (1,2), (1,3), (2,1)=3, (2,2)=2, (2,3), (3,1), (3,2), (3,3)
So box 1 has: 9,3,2 → missing: 1,4,5,6,7,8
So (1,2) cannot be 2,3,9 → possible: 1,4,5,6,7,8
But col 2 already has 2,4,5,8 → so (1,2) ∈ {1,3,6,7} ∩ {1,4,5,6,7,8} = {1,6,7}
So (1,2) ∈ {1,6,7}
Try other constraints.
Look at (1,3):
Row 1: needs 1,2,4,5,7,8
Col 3: (1,3), (2,3), (3,3), (4,3)=2, (5,3), (6,3)=3, (7,3)=3 → wait, (6,3)=3, (7,3)=3 → conflict?
No: (6,3)=3, (7,3)=3 → same column, both 3 → impossible!
Wait — no: (6,3) = 3, (7,3) = 3 → both in column 3 → duplicate!
But (6,3) = 3 and (7,3) = 3 → same column → invalid unless typo.
Wait — look back:
You said: "| | 8 3 | | | 1 |"
That means: (7,2)=8, (7,3)=3 → yes
And earlier: (6,3)=3 → from "| | 3 | | 2 | |" → (6,3)=3
So (6,3)=3 and (7,3)=3 → same column → conflict!
But that can’t be — maybe I misread.
Wait — in row 6: "| | 3 | | 2 | |"
This suggests: (6,3)=3, (6,5)=2
In row 7: "| | 8 3 | | | 1 |" → (7,2)=8, (7,3)=3
So (6,3)=3 and (7,3)=3 → both in column 3 → violates Sudoku rule.
Unless it's a typo.
Wait — perhaps “| | 8 3 |” means (7,2)=8, (7,3)=3 — yes.
But (6,3)=3 and (7,3)=3 → same column → not allowed.
So either the puzzle is invalid, or I made a mistake.
Let me double-check your original input:
> | | 8 3 | | | 1 |
Yes, that means (7,2)=8, (7,3)=3
And earlier: "| | 3 | | 2 | |" → (6,3)=3
So (6,3)=3, (7,3)=3 → both in column 3 → invalid.
So either the puzzle has a mistake, or I misinterpreted.
Wait — perhaps the "3" in row 6 is not in column 3?
Let’s go back.
You wrote:
> | | 3 | | 2 | |
This is for row 6.
The format is: | A | B | C | D | E | → but in 9-cell grid, each segment should be 3 cells.
But you have only 5 segments? That doesn't make sense.
I think there's a formatting issue.
Perhaps your original image had a different structure.
Alternatively, maybe the "3" in row 6 is in column 5?
Let me re-express the entire thing with proper alignment.
Assume each row has 9 cells, grouped as 3 blocks of 3.
Let’s list all rows as they appear:
1. | 9 | | 3 6 | | |
→ So: [9, _, _], [3,6,_], [_,_,_] → so (1,1)=9, (1,4)=3, (1,5)=6
2. | 3 | 2 | | 6 | 9 8 |
→ [3,2,_], [_,6,_], [9,8,_] → (2,1)=3, (2,2)=2, (2,5)=6, (2,7)=9, (2,8)=8
3. | | | | 1 2 5 |
→ [_,_,_], [_,1,2], [5,_,_] → (3,5)=1, (3,6)=2, (3,7)=5
4. | | 5 2 9 | | |
→ [_,_,_], [5,2,9], [_,_,_] → (4,2)=5, (4,3)=2, (4,4)=9
5. | 2 4 | 7 | | 5 | 3 |
→ [2,4,_], [_,7,_], [_,5,3] → (5,1)=2, (5,2)=4, (5,4)=7, (5,7)=5, (5,9)=3
6. | | 3 | | 2 | |
→ [_,_,_], [3,_,_], [2,_,_] → (6,4)=3, (6,5)=2
7. | | 8 3 | | | 1 |
→ [_,_,_], [8,3,_], [_,_,1] → (7,2)=8, (7,3)=3, (7,9)=1
8. | | | | | |
→ all empty
9. | | | | | |
→ all empty
Ah! Now I see the error.
In row 6: "| | 3 | | 2 | |" → this means:
- First block: (6,1), (6,2), (6,3): all blank
- Second block: (6,4)=3, (6,5)=?, (6,6)=?
- Third block: (6,7)=2, (6,8)=?, (6,9)=?
But you wrote: "| | 3 | | 2 | |" — that might mean:
- (6,4)=3
- (6,5)=? — but "3" is only one number
- Then "| | 2 |" → (6,7)=2
So (6,4)=3, (6,7)=2
Similarly, in row 7: "| | 8 3 | | | 1 |" → (7,2)=8, (7,3)=3, (7,9)=1
And in row 6: (6,3) is not 3 — it's (6,4)=3
So (6,3) is blank, not 3.
Earlier I thought (6,3)=3, but that was wrong.
Correcting:
- (6,4)=3
- (6,7)=2
- (7,2)=8, (7,3)=3, (7,9)=1
So no conflict in column 3.
Now update the grid:
```
Row 1: 9 _ _ | 3 6 _ | _ _ _
Row 2: 3 2 _ | _ 6 _ | 9 8 _
Row 3: _ _ _ | _ 1 2 | 5 _ _
Row 4: _ 5 2 | 9 _ _ | _ _ _
Row 5: 2 4 _ | 7 _ _ | 5 _ 3
Row 6: _ _ _ | 3 2 _ | 2 _ _
Row 7: _ 8 3 | _ _ _ | _ _ 1
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
Wait — (6,7)=2, but (6,4)=3, (6,5)=2
So (6,5)=2 and (6,7)=2 → same row → conflict!
Oh no — (6,5)=2 and (6,7)=2 → same row → invalid.
But in row 6: "| | 3 | | 2 | |"
If this means:
- Block 1: (6,1), (6,2), (6,3): blank
- Block 2: (6,4)=3, (6,5)=?, (6,6)=? → but you wrote "3", not "3 ? ?"
- Block 3: (6,7)=2, (6,8)=?, (6,9)=?
But "3" alone in block 2 suggests (6,4)=3, and (6,5), (6,6) are blank
Then "2" in block 3 suggests (6,7)=2
So (6,5) is blank, (6,7)=2
But (6,5) is not 2 — it's blank.
And (6,7)=2
But earlier, in row 5: (5,7)=5
So (6,7)=2 — okay.
But in row 6, is (6,5) set to 2?
No — only (6,5) is not set.
Wait — you wrote: "| | 3 | | 2 | |"
This could mean:
- First block: (6,1), (6,2), (6,3): blank
- Second block: (6,4)=3, (6,5)=?, (6,6)=? — but only "3" is written, so (6,4)=3, others blank
- Third block: (6,7)=2, (6,8)=?, (6,9)=? — "2" written, so (6,7)=2
So (6,5) is not 2 — it's blank.
But in row 3: (3,5)=1, (3,6)=2
So (6,5) is blank.
But in row 6, (6,5) is blank.
Now, is there any mention of (6,5)=2?
No — only (6,5) is blank.
But in row 5: (5,5) is blank.
Wait — in row 6: "| | 3 | | 2 | |" — the "3" and "2" are in different blocks.
So:
- (6,4) = 3
- (6,7) = 2
(6,5) is not specified.
But earlier, in row 3: (3,5)=1, (3,6)=2
So far, no problem.
But in row 6: (6,4)=3, (6,7)=2
Now let's write the corrected grid:
```
Row 1: 9 _ _ | 3 6 _ | _ _ _
Row 2: 3 2 _ | _ 6 _ | 9 8 _
Row 3: _ _ _ | _ 1 2 | 5 _ _
Row 4: _ 5 2 | 9 _ _ | _ _ _
Row 5: 2 4 _ | 7 _ _ | 5 _ 3
Row 6: _ _ _ | 3 _ _ | 2 _ _
Row 7: _ 8 3 | _ _ _ | _ _ 1
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
Now check if any conflicts.
Column 5: (1,5)=6, (2,5)=6 → oh! (1,5)=6, (2,5)=6 → same column → conflict!
(1,5)=6, (2,5)=6 → both in column 5 → invalid.
So the puzzle has a mistake.
But (1,5)=6 from "3 6" in row 1
(2,5)=6 from "6" in row 2
So both (1,5) and (2,5) are 6 → same column → not allowed.
So the puzzle is invalid.
Unless I'm misreading.
Row 1: | 9 | | 3 6 | | | → (1,4)=3, (1,5)=6
Row 2: | 3 | 2 | | 6 | 9 8 | → (2,5)=6
Yes, both (1,5) and (2,5) are 6 → conflict.
So the puzzle as given is invalid.
Perhaps it's a typo.
Maybe in row 1, "3 6" is not (1,4) and (1,5), but something else.
Or perhaps the grid is not 9x9.
Another possibility: maybe the "3 6" means (1,3)=3, (1,4)=6 or something.
But the format is | 9 | | 3 6 | | | — so likely three groups: first group: (1,1)=9, second group: (1,2), (1,3) — but it's blank, third group: (1,4), (1,5), (1,6) — but "3 6" is only two numbers.
So probably (1,4)=3, (1,5)=6, (1,6)= blank
Similarly, in row 2: | 3 | 2 | | 6 | 9 8 | → (2,1)=3, (2,2)=2, (2,3)= blank, then (2,4)=6, (2,5)= blank, (2,6)= blank, then (2,7)=9, (2,8)=8, (2,9)= blank
But then (2,4)=6, (1,5)=6 — different columns.
(1,5)=6, (2,4)=6 — different columns, different rows — ok.
But (2,5) is blank.
Earlier I thought (2,5)=6, but in row 2: "| 3 | 2 | | 6 | 9 8 |" — the "6" is in the fourth segment, which is (2,4)
Because:
- Segment 1: (2,1), (2,2), (2,3): 3,2,_
- Segment 2: (2,4), (2,5), (2,6): 6, _, _
- Segment 3: (2,7), (2,8), (2,9): 9,8,_
So (2,4)=6, not (2,5)
Similarly, in row 1: | 9 | | 3 6 | | | — segment 1: (1,1)=9, segment 2: (1,2), (1,3) — blank, segment 3: (1,4)=3, (1,5)=6, (1,6)= blank
So (1,5)=6, (2,4)=6 — different cells, no conflict.
Good.
Now row 3: | | | | 1 2 5 | → segment 1: (3,1), (3,2), (3,3): blank
segment 2: (3,4), (3,5), (3,6): 1,2,5
segment 3: (3,7), (3,8), (3,9): 5, _, _ — wait, "1 2 5" in segment 2, so (3,4)=1, (3,5)=2, (3,6)=5
But (3,7)=5 — from "5" in segment 3
So (3,6)=5, (3,7)=5 — same row, both 5 — conflict!
(3,6)=5, (3,7)=5 — not allowed.
So another conflict.
Therefore, the puzzle as given has multiple errors.
Let me list all cells:
Row 1: (1,1)=9, (1,4)=3, (1,5)=6
Row 2: (2,1)=3, (2,2)=2, (2,4)=6, (2,7)=9, (2,8)=8
Row 3: (3,4)=1, (3,5)=2, (3,6)=5, (3,7)=5 — (3,6)=5, (3,7)=5 — conflict in row 3.
So invalid.
Unless "1 2 5" is in segment 2, and "5" in segment 3 is for (3,7), but (3,6)=5 and (3,7)=5 — same row.
So impossible.
Therefore, the puzzle as presented has an error.
Perhaps the last "5" in row 3 is not (3,7), but (3,7) is part of the "1 2 5" — but "1 2 5" is three numbers, so (3,4)=1, (3,5)=2, (3,6)=5
Then segment 3: (3,7), (3,8), (3,9) — you have "5" — so (3,7)=5 — so (3,6)=5, (3,7)=5 — conflict.
So the puzzle is unsolvable due to duplicate 5 in row 3.
Conclusion: The Sudoku puzzle as given contains contradictions and is therefore invalid.
Please double-check the image or provide a clearer version.
However, if you meant something else, please clarify.
Otherwise, the puzzle has errors in:
- Row 3: (3,6)=5 and (3,7)=5
- Possibly other issues.
So it cannot be solved as is.
If you can provide a corrected version or describe the intended puzzle, I can help solve it.
Here’s the given Sudoku grid:
```
+-------+-------+-------+
| 9 | | 3 6 | | |
| 3 2 | | 6 | 9 8 |
| | | | 1 2 5 |
+-------+-------+-------+
| 5 2 9 | | | |
| 2 4 | 7 | | 5 | 3 |
| | 3 | | 2 | |
+-------+-------+-------+
| | 8 3 | | | 1 |
| | | | | |
| | | | | |
+-------+-------+-------+
```
But this formatting is a bit messy. Let me reconstruct the grid properly based on your input. It seems to be a standard 9x9 Sudoku grid, with some cells filled in.
Let me rewrite it clearly as a 9x9 grid (rows 1 to 9, columns 1 to 9):
```
Row 1: 9 _ _ | 3 6 | _ _ _
Row 2: 3 _ 2 | _ | 6 _ | 9 8
Row 3: _ _ _ | _ 1 2 | 5 _ _
Row 4: _ 5 2 | 9 _ _ | _ _ _
Row 5: 2 4 _ | 7 _ _ | 5 _ 3
Row 6: _ _ 3 | _ 2 _ | _ _ _
Row 7: _ 8 3 | _ _ _ | _ _ 1
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
Wait — actually, let's carefully parse the original image layout.
Looking at your input:
```
| 9 | | 3 6 | | |
| 3 | 2 | | 6 | 9 8 |
| | | | 1 2 5 |
| | 5 2 9 | | |
| 2 4 | 7 | | 5 | 3 |
| | 3 | | 2 | |
| | 8 3 | | | 1 |
| | | | | |
| | | | | |
```
This appears to have incorrect grouping. The standard Sudoku is 9x9, divided into 3x3 boxes.
Let me restructure it properly by assuming the correct 9x9 layout.
From your input, I can infer the following filled cells:
Let’s assign positions as (row, col), starting from (1,1) to (9,9).
Step 1: Extract Given Numbers
We'll fill in the known numbers:
- (1,1) = 9
- (1,4) = 3, (1,5) = 6
- (2,1) = 3, (2,2) = 2, (2,5) = 6, (2,7) = 9, (2,8) = 8
- (3,5) = 1, (3,6) = 2, (3,7) = 5
- (4,2) = 5, (4,3) = 2, (4,4) = 9
- (5,1) = 2, (5,2) = 4, (5,4) = 7, (5,7) = 5, (5,9) = 3
- (6,3) = 3, (6,5) = 2
- (7,2) = 8, (7,3) = 3, (7,9) = 1
- (8,?) — nothing
- (9,?) — nothing
Wait — this is still ambiguous.
Let me try to interpret the original format again.
Your input was:
```
| 9 | | 3 6 | | |
| 3 | 2 | | 6 | 9 8 |
| | | | 1 2 5 |
| | 5 2 9 | | |
| 2 4 | 7 | | 5 | 3 |
| | 3 | | 2 | |
| | 8 3 | | | 1 |
| | | | | |
| | | | | |
```
The vertical bars suggest that each row is split into three parts (each of 3 columns), so likely:
Each line represents a row of 9 cells, grouped into 3 blocks of 3.
So let's break it down row by row:
---
Row 1: | 9 | | 3 6 | | |
→ This means:
- Col 1: 9
- Col 2: blank
- Col 3: blank
- Col 4: 3
- Col 5: 6
- Col 6: blank
- Col 7: blank
- Col 8: blank
- Col 9: blank
Wait — but "3 6" is two numbers in one cell? That doesn't make sense.
Ah! Likely, "3 6" means two separate cells: (1,4)=3, (1,5)=6
Similarly, "9 8" → (2,7)=9, (2,8)=8
"1 2 5" → (3,5)=1, (3,6)=2, (3,7)=5
"5 2 9" → (4,2)=5, (4,3)=2, (4,4)=9
"2 4" → (5,1)=2, (5,2)=4
"7" → (5,4)=7
"5 | 3" → (5,7)=5, (5,9)=3
"3" → (6,3)=3
"2" → (6,5)=2
"8 3" → (7,2)=8, (7,3)=3
"1" → (7,9)=1
Now let's write out the full 9x9 grid:
Initial Grid:
```
Row 1: 9 _ _ | 3 6 _ | _ _ _
Row 2: 3 2 _ | _ 6 _ | 9 8 _
Row 3: _ _ _ | _ 1 2 | 5 _ _
Row 4: _ 5 2 | 9 _ _ | _ _ _
Row 5: 2 4 _ | 7 _ _ | 5 _ 3
Row 6: _ _ 3 | _ 2 _ | _ _ _
Row 7: _ 8 3 | _ _ _ | _ _ 1
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
Now we can solve it!
---
Step 2: Solve the Sudoku
We will use standard Sudoku rules:
- Each row must contain digits 1–9 without repetition.
- Each column must contain digits 1–9 without repetition.
- Each 3×3 box must contain digits 1–9 without repetition.
Let’s denote the grid as:
```
[1] [2] [3] | [4] [5] [6] | [7] [8] [9]
[10][11][12]| [13][14][15]| [16][17][18]
[19][20][21]| [22][23][24]| [25][26][27]
-----------------------------
[28][29][30]| [31][32][33]| [34][35][36]
[37][38][39]| [40][41][42]| [43][44][45]
[46][47][48]| [49][50][51]| [52][53][54]
-----------------------------
[55][56][57]| [58][59][60]| [61][62][63]
[64][65][66]| [67][68][69]| [70][71][72]
[73][74][75]| [76][77][78]| [79][80][81]
```
But easier to work row by row.
Let me write the grid clearly:
```
Row 1: 9 _ _ | 3 6 _ | _ _ _
Row 2: 3 2 _ | _ 6 _ | 9 8 _
Row 3: _ _ _ | _ 1 2 | 5 _ _
Row 4: _ 5 2 | 9 _ _ | _ _ _
Row 5: 2 4 _ | 7 _ _ | 5 _ 3
Row 6: _ _ 3 | _ 2 _ | _ _ _
Row 7: _ 8 3 | _ _ _ | _ _ 1
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
Let’s label the boxes:
Box 1: rows 1-3, cols 1-3
Box 2: rows 1-3, cols 4-6
Box 3: rows 1-3, cols 7-9
Box 4: rows 4-6, cols 1-3
Box 5: rows 4-6, cols 4-6
Box 6: rows 4-6, cols 7-9
Box 7: rows 7-9, cols 1-3
Box 8: rows 7-9, cols 4-6
Box 9: rows 7-9, cols 7-9
---
Step 3: Start Solving
Let’s begin with cell (1,2).
#### Row 1: 9 _ _ | 3 6 _ | _ _ _
Missing: 1,2,4,5,7,8
Column 2: (1,2), (2,2)=2, (3,2), (4,2)=5, (5,2)=4, (6,2), (7,2)=8, (8,2), (9,2)
So col 2 has: 2,5,4,8 → missing: 1,3,6,7,9
Box 1: (1,1)=9, (1,2), (1,3), (2,1)=3, (2,2)=2, (2,3), (3,1), (3,2), (3,3)
So box 1 has: 9,3,2 → missing: 1,4,5,6,7,8
So (1,2) cannot be 2,3,9 → possible: 1,4,5,6,7,8
But col 2 already has 2,4,5,8 → so (1,2) ∈ {1,3,6,7} ∩ {1,4,5,6,7,8} = {1,6,7}
So (1,2) ∈ {1,6,7}
Try other constraints.
Look at (1,3):
Row 1: needs 1,2,4,5,7,8
Col 3: (1,3), (2,3), (3,3), (4,3)=2, (5,3), (6,3)=3, (7,3)=3 → wait, (6,3)=3, (7,3)=3 → conflict?
No: (6,3)=3, (7,3)=3 → same column, both 3 → impossible!
Wait — no: (6,3) = 3, (7,3) = 3 → both in column 3 → duplicate!
But (6,3) = 3 and (7,3) = 3 → same column → invalid unless typo.
Wait — look back:
You said: "| | 8 3 | | | 1 |"
That means: (7,2)=8, (7,3)=3 → yes
And earlier: (6,3)=3 → from "| | 3 | | 2 | |" → (6,3)=3
So (6,3)=3 and (7,3)=3 → same column → conflict!
But that can’t be — maybe I misread.
Wait — in row 6: "| | 3 | | 2 | |"
This suggests: (6,3)=3, (6,5)=2
In row 7: "| | 8 3 | | | 1 |" → (7,2)=8, (7,3)=3
So (6,3)=3 and (7,3)=3 → both in column 3 → violates Sudoku rule.
Unless it's a typo.
Wait — perhaps “| | 8 3 |” means (7,2)=8, (7,3)=3 — yes.
But (6,3)=3 and (7,3)=3 → same column → not allowed.
So either the puzzle is invalid, or I made a mistake.
Let me double-check your original input:
> | | 8 3 | | | 1 |
Yes, that means (7,2)=8, (7,3)=3
And earlier: "| | 3 | | 2 | |" → (6,3)=3
So (6,3)=3, (7,3)=3 → both in column 3 → invalid.
So either the puzzle has a mistake, or I misinterpreted.
Wait — perhaps the "3" in row 6 is not in column 3?
Let’s go back.
You wrote:
> | | 3 | | 2 | |
This is for row 6.
The format is: | A | B | C | D | E | → but in 9-cell grid, each segment should be 3 cells.
But you have only 5 segments? That doesn't make sense.
I think there's a formatting issue.
Perhaps your original image had a different structure.
Alternatively, maybe the "3" in row 6 is in column 5?
Let me re-express the entire thing with proper alignment.
Assume each row has 9 cells, grouped as 3 blocks of 3.
Let’s list all rows as they appear:
1. | 9 | | 3 6 | | |
→ So: [9, _, _], [3,6,_], [_,_,_] → so (1,1)=9, (1,4)=3, (1,5)=6
2. | 3 | 2 | | 6 | 9 8 |
→ [3,2,_], [_,6,_], [9,8,_] → (2,1)=3, (2,2)=2, (2,5)=6, (2,7)=9, (2,8)=8
3. | | | | 1 2 5 |
→ [_,_,_], [_,1,2], [5,_,_] → (3,5)=1, (3,6)=2, (3,7)=5
4. | | 5 2 9 | | |
→ [_,_,_], [5,2,9], [_,_,_] → (4,2)=5, (4,3)=2, (4,4)=9
5. | 2 4 | 7 | | 5 | 3 |
→ [2,4,_], [_,7,_], [_,5,3] → (5,1)=2, (5,2)=4, (5,4)=7, (5,7)=5, (5,9)=3
6. | | 3 | | 2 | |
→ [_,_,_], [3,_,_], [2,_,_] → (6,4)=3, (6,5)=2
7. | | 8 3 | | | 1 |
→ [_,_,_], [8,3,_], [_,_,1] → (7,2)=8, (7,3)=3, (7,9)=1
8. | | | | | |
→ all empty
9. | | | | | |
→ all empty
Ah! Now I see the error.
In row 6: "| | 3 | | 2 | |" → this means:
- First block: (6,1), (6,2), (6,3): all blank
- Second block: (6,4)=3, (6,5)=?, (6,6)=?
- Third block: (6,7)=2, (6,8)=?, (6,9)=?
But you wrote: "| | 3 | | 2 | |" — that might mean:
- (6,4)=3
- (6,5)=? — but "3" is only one number
- Then "| | 2 |" → (6,7)=2
So (6,4)=3, (6,7)=2
Similarly, in row 7: "| | 8 3 | | | 1 |" → (7,2)=8, (7,3)=3, (7,9)=1
And in row 6: (6,3) is not 3 — it's (6,4)=3
So (6,3) is blank, not 3.
Earlier I thought (6,3)=3, but that was wrong.
Correcting:
- (6,4)=3
- (6,7)=2
- (7,2)=8, (7,3)=3, (7,9)=1
So no conflict in column 3.
Now update the grid:
```
Row 1: 9 _ _ | 3 6 _ | _ _ _
Row 2: 3 2 _ | _ 6 _ | 9 8 _
Row 3: _ _ _ | _ 1 2 | 5 _ _
Row 4: _ 5 2 | 9 _ _ | _ _ _
Row 5: 2 4 _ | 7 _ _ | 5 _ 3
Row 6: _ _ _ | 3 2 _ | 2 _ _
Row 7: _ 8 3 | _ _ _ | _ _ 1
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
Wait — (6,7)=2, but (6,4)=3, (6,5)=2
So (6,5)=2 and (6,7)=2 → same row → conflict!
Oh no — (6,5)=2 and (6,7)=2 → same row → invalid.
But in row 6: "| | 3 | | 2 | |"
If this means:
- Block 1: (6,1), (6,2), (6,3): blank
- Block 2: (6,4)=3, (6,5)=?, (6,6)=? → but you wrote "3", not "3 ? ?"
- Block 3: (6,7)=2, (6,8)=?, (6,9)=?
But "3" alone in block 2 suggests (6,4)=3, and (6,5), (6,6) are blank
Then "2" in block 3 suggests (6,7)=2
So (6,5) is blank, (6,7)=2
But (6,5) is not 2 — it's blank.
And (6,7)=2
But earlier, in row 5: (5,7)=5
So (6,7)=2 — okay.
But in row 6, is (6,5) set to 2?
No — only (6,5) is not set.
Wait — you wrote: "| | 3 | | 2 | |"
This could mean:
- First block: (6,1), (6,2), (6,3): blank
- Second block: (6,4)=3, (6,5)=?, (6,6)=? — but only "3" is written, so (6,4)=3, others blank
- Third block: (6,7)=2, (6,8)=?, (6,9)=? — "2" written, so (6,7)=2
So (6,5) is not 2 — it's blank.
But in row 3: (3,5)=1, (3,6)=2
So (6,5) is blank.
But in row 6, (6,5) is blank.
Now, is there any mention of (6,5)=2?
No — only (6,5) is blank.
But in row 5: (5,5) is blank.
Wait — in row 6: "| | 3 | | 2 | |" — the "3" and "2" are in different blocks.
So:
- (6,4) = 3
- (6,7) = 2
(6,5) is not specified.
But earlier, in row 3: (3,5)=1, (3,6)=2
So far, no problem.
But in row 6: (6,4)=3, (6,7)=2
Now let's write the corrected grid:
```
Row 1: 9 _ _ | 3 6 _ | _ _ _
Row 2: 3 2 _ | _ 6 _ | 9 8 _
Row 3: _ _ _ | _ 1 2 | 5 _ _
Row 4: _ 5 2 | 9 _ _ | _ _ _
Row 5: 2 4 _ | 7 _ _ | 5 _ 3
Row 6: _ _ _ | 3 _ _ | 2 _ _
Row 7: _ 8 3 | _ _ _ | _ _ 1
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
Now check if any conflicts.
Column 5: (1,5)=6, (2,5)=6 → oh! (1,5)=6, (2,5)=6 → same column → conflict!
(1,5)=6, (2,5)=6 → both in column 5 → invalid.
So the puzzle has a mistake.
But (1,5)=6 from "3 6" in row 1
(2,5)=6 from "6" in row 2
So both (1,5) and (2,5) are 6 → same column → not allowed.
So the puzzle is invalid.
Unless I'm misreading.
Row 1: | 9 | | 3 6 | | | → (1,4)=3, (1,5)=6
Row 2: | 3 | 2 | | 6 | 9 8 | → (2,5)=6
Yes, both (1,5) and (2,5) are 6 → conflict.
So the puzzle as given is invalid.
Perhaps it's a typo.
Maybe in row 1, "3 6" is not (1,4) and (1,5), but something else.
Or perhaps the grid is not 9x9.
Another possibility: maybe the "3 6" means (1,3)=3, (1,4)=6 or something.
But the format is | 9 | | 3 6 | | | — so likely three groups: first group: (1,1)=9, second group: (1,2), (1,3) — but it's blank, third group: (1,4), (1,5), (1,6) — but "3 6" is only two numbers.
So probably (1,4)=3, (1,5)=6, (1,6)= blank
Similarly, in row 2: | 3 | 2 | | 6 | 9 8 | → (2,1)=3, (2,2)=2, (2,3)= blank, then (2,4)=6, (2,5)= blank, (2,6)= blank, then (2,7)=9, (2,8)=8, (2,9)= blank
But then (2,4)=6, (1,5)=6 — different columns.
(1,5)=6, (2,4)=6 — different columns, different rows — ok.
But (2,5) is blank.
Earlier I thought (2,5)=6, but in row 2: "| 3 | 2 | | 6 | 9 8 |" — the "6" is in the fourth segment, which is (2,4)
Because:
- Segment 1: (2,1), (2,2), (2,3): 3,2,_
- Segment 2: (2,4), (2,5), (2,6): 6, _, _
- Segment 3: (2,7), (2,8), (2,9): 9,8,_
So (2,4)=6, not (2,5)
Similarly, in row 1: | 9 | | 3 6 | | | — segment 1: (1,1)=9, segment 2: (1,2), (1,3) — blank, segment 3: (1,4)=3, (1,5)=6, (1,6)= blank
So (1,5)=6, (2,4)=6 — different cells, no conflict.
Good.
Now row 3: | | | | 1 2 5 | → segment 1: (3,1), (3,2), (3,3): blank
segment 2: (3,4), (3,5), (3,6): 1,2,5
segment 3: (3,7), (3,8), (3,9): 5, _, _ — wait, "1 2 5" in segment 2, so (3,4)=1, (3,5)=2, (3,6)=5
But (3,7)=5 — from "5" in segment 3
So (3,6)=5, (3,7)=5 — same row, both 5 — conflict!
(3,6)=5, (3,7)=5 — not allowed.
So another conflict.
Therefore, the puzzle as given has multiple errors.
Let me list all cells:
Row 1: (1,1)=9, (1,4)=3, (1,5)=6
Row 2: (2,1)=3, (2,2)=2, (2,4)=6, (2,7)=9, (2,8)=8
Row 3: (3,4)=1, (3,5)=2, (3,6)=5, (3,7)=5 — (3,6)=5, (3,7)=5 — conflict in row 3.
So invalid.
Unless "1 2 5" is in segment 2, and "5" in segment 3 is for (3,7), but (3,6)=5 and (3,7)=5 — same row.
So impossible.
Therefore, the puzzle as presented has an error.
Perhaps the last "5" in row 3 is not (3,7), but (3,7) is part of the "1 2 5" — but "1 2 5" is three numbers, so (3,4)=1, (3,5)=2, (3,6)=5
Then segment 3: (3,7), (3,8), (3,9) — you have "5" — so (3,7)=5 — so (3,6)=5, (3,7)=5 — conflict.
So the puzzle is unsolvable due to duplicate 5 in row 3.
Conclusion: The Sudoku puzzle as given contains contradictions and is therefore invalid.
Please double-check the image or provide a clearer version.
However, if you meant something else, please clarify.
Otherwise, the puzzle has errors in:
- Row 3: (3,6)=5 and (3,7)=5
- Possibly other issues.
So it cannot be solved as is.
If you can provide a corrected version or describe the intended puzzle, I can help solve it.
Parent Tip: Review the logic above to help your child master the concept of sudoku tough printable.