Sudoku Puzzle Pages, 360 Sudoku Printable Logic Puzzles & Fun ... - Free Printable
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Step-by-step solution for: Sudoku Puzzle Pages, 360 Sudoku Printable Logic Puzzles & Fun ...
It looks like you've uploaded a set of four Sudoku puzzles labeled GRID - 73, GRID - 74, GRID - 75, and GRID - 76. Each is a standard 9x9 Sudoku grid with some numbers pre-filled, and the goal is to fill in the empty cells so that each row, each column, and each of the nine 3x3 subgrids (also called "boxes") contains all digits from 1 to 9 exactly once.
Since I can't view images directly, I’ll need you to provide the numbers in each grid in a text format (e.g., row by row), or describe any specific problem you're facing (e.g., solving one particular grid, finding a mistake, etc.).
However, since you've provided the image description with the grids clearly visible, I will now interpret and solve each grid based on what's shown in your text representation.
Let’s go through each grid one by one.
---
```
+-------+-------+-------+
| 4 | 1 | 2 |
| 2 3 | | |
| 3 | 5 1 | |
+-------+-------+-------+
| | 2 6 | 3 |
| 5 2 3 | 6 | |
| 1 6 | 2 5 | |
+-------+-------+-------+
```
Wait — this seems to be formatted incorrectly. Let me reconstruct the grid properly from how it's drawn.
Looking at your layout:
#### GRID - 73:
```
[4][ ][1][ ][ ][2]
[2][3][1][ ][ ][ ]
[3][ ][ ][5][1][ ]
[ ][ ][ ][2][6][3]
[5][2][3][6][ ][ ]
[1][6][ ][2][5][ ]
```
But wait — this doesn’t align with standard 9x9 Sudoku. Let's assume the correct structure is:
Each 3x3 box is separated by lines, so let's parse it carefully.
From the visual layout:
```
GRID - 73
+-------+-------+-------+
| 4 | 1 | 2 |
| 2 3 | | |
| 3 | 5 1 | |
+-------+-------+-------+
| | 2 6 | 3 |
| 5 2 3 | 6 | |
| 1 6 | 2 5 | |
+-------+-------+-------+
```
This appears to be missing many cells. But actually, each line represents a row.
Let’s write out the full 9x9 grid for GRID - 73 as per the image:
Row 1: 4 _ 1 _ _ 2
Row 2: 2 3 1 _ _ _
Row 3: 3 _ _ 5 1 _
Row 4: _ _ _ 2 6 3
Row 5: 5 2 3 6 _ _
Row 6: 1 6 _ 2 5 _
Row 7: _ _ _ _ _ _
Row 8: _ _ _ _ _ _
Row 9: _ _ _ _ _ _
Wait — this isn't matching. The formatting is ambiguous.
Let me re-express based on typical Sudoku notation.
Looking again:
The top-left 3x3 box:
- Row 1: 4, _, 1
- Row 2: 2, 3, 1
- Row 3: 3, _, _
Then next box (top-middle):
- Row 1: _, _, 2
- Row 2: _, _, _
- Row 3: 5, 1, _
Top-right:
- Row 1: _, _, _
- Row 2: _, _, _
- Row 3: _, _, _
Middle-left:
- Row 4: _, _, _
- Row 5: 5, 2, 3
- Row 6: 1, 6, _
Middle-center:
- Row 4: 2, 6, 3
- Row 5: 6, _, _
- Row 6: 2, 5, _
Middle-right:
- Row 4: _, _, _
- Row 5: _, _, _
- Row 6: _, _, _
Bottom-left:
- Row 7: _, _, _
- Row 8: _, _, _
- Row 9: _, _, _
Bottom-center:
- Row 7: _, _, _
- Row 8: _, _, _
- Row 9: _, _, _
Bottom-right:
- Row 7: _, _, _
- Row 8: _, _, _
- Row 9: _, _, _
But this is too sparse. Let me try to extract the actual numbers from your layout.
After careful analysis of your original image text, here is the likely intended structure:
---
Let me now correctly reconstruct each 9x9 grid based on your layout.
---
```
Row 1: 4 _ 1 | _ _ 2 | _ _ _
Row 2: 2 3 1 | _ _ _ | _ _ _
Row 3: 3 _ _ | 5 1 _ | _ _ _
-------+-------+-------
Row 4: _ _ _ | 2 6 3 | _ _ _
Row 5: 5 2 3 | 6 _ _ | _ _ _
Row 6: 1 6 _ | 2 5 _ | _ _ _
-------+-------+-------
Row 7: _ _ _ | _ _ _ | _ _ _
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
So, full grid:
```
4 . 1 | . . 2 | . . .
2 3 1 | . . . | . . .
3 . . | 5 1 . | . . .
------+-------+------
. . . | 2 6 3 | . . .
5 2 3 | 6 . . | . . .
1 6 . | 2 5 . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
```
Now we can solve this step by step.
But before solving all four, please confirm if you want me to:
1. Solve all four grids?
2. Just explain the method?
3. Or focus on one?
Since you said “solve the problem”, I’ll assume you want all four solved.
Let’s proceed.
---
## ✔ Solving GRID - 73
We'll use standard Sudoku logic.
Let’s denote the grid:
```
(1) 4 . 1 | . . 2 | . . .
(2) 2 3 1 | . . . | . . .
(3) 3 . . | 5 1 . | . . .
------+-------+------
(4) . . . | 2 6 3 | . . .
(5) 5 2 3 | 6 . . | . . .
(6) 1 6 . | 2 5 . | . . .
------+-------+------
(7) . . . | . . . | . . .
(8) . . . | . . . | . . .
(9) . . . | . . . | . . .
```
Let’s start with easy placements.
Box 1:
```
4 . 1
2 3 1 → Wait! Two 1s? That can't be.
```
Hold on — Row 2 has 2,3,1 → so (2,3)=1
Row 1 has (1,3)=1 → So two 1s in column 3 already? No!
Wait — (1,3) = 1
(2,3) = 1 → same column, same value → Invalid
That can't happen.
Ah! There must be an error in interpretation.
Let’s look again at your original:
> GRID - 73
>
> ```
> +-------+-------+-------+
> | 4 | 1 | 2 |
> | 2 3 | | |
> | 3 | 5 1 | |
> +-------+-------+-------+
> | | 2 6 | 3 |
> | 5 2 3 | 6 | |
> | 1 6 | 2 5 | |
> +-------+-------+-------+
> ```
Wait — perhaps the boxes are not aligned properly.
Let’s count the cells.
First box (top-left):
- Row 1: 4, _, 1 → three cells
- Row 2: 2, 3, _ → but then next cell is blank
- Row 3: 3, _, _ → and then 5,1
So maybe:
The first 3x3 box is:
- (1,1)=4, (1,2)=_, (1,3)=1
- (2,1)=2, (2,2)=3, (2,3)=1 → oh no! (1,3)=1 and (2,3)=1 → same column 3, both 1 → invalid
But that can't be. So either the puzzle is invalid, or my parsing is wrong.
Wait — perhaps the grid is meant to be:
Let’s assume the vertical bars separate the 3x3 boxes.
So:
Grid 73:
```
Box 1: Box 2: Box 3:
4 . 1 . . 2 . . .
2 3 1 . . . . . .
3 . . 5 1 . . . .
Box 4: Box 5: Box 6:
. . . 2 6 3 . . .
5 2 3 6 . . . . .
1 6 . 2 5 . . . .
Box 7: Box 8: Box 9:
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
```
Now check column 3:
- (1,3) = 1
- (2,3) = 1 → same column, same number → Conflict
So either the puzzle is corrupted, or there’s a typo.
But (2,3) is part of first box: row 2, col 3 → 1
And (1,3) = 1 → same column → duplicate
So invalid puzzle unless I misread.
Wait — maybe the second row is:
"2 3 | | " — so (2,1)=2, (2,2)=3, (2,3)=? — but it says "2 3", then space, so maybe (2,3) is not filled.
But then why is "1" in the third position?
Look back:
> | 4 | 1 | 2 |
So first box: 4, _, 1 → (1,1)=4, (1,2)=?, (1,3)=1
Second box: _, _, 2 → (1,4)=?, (1,5)=?, (1,6)=2
Third box: _, _, _ → (1,7)=?, (1,8)=?, (1,9)=?
Row 2: | 2 3 | | | → (2,1)=2, (2,2)=3, (2,3)=? → but then next is blank, so (2,4)=?, etc.
Row 3: | 3 | 5 1 | | → (3,1)=3, (3,2)=?, (3,3)=?, (3,4)=5, (3,5)=1, (3,6)=?, (3,7)=?, (3,8)=?, (3,9)=?
So far:
Row 1: 4 ? 1 | ? ? 2 | ? ? ?
Row 2: 2 3 ? | ? ? ? | ? ? ?
Row 3: 3 ? ? | 5 1 ? | ? ? ?
No conflict yet.
Now row 4: | | 2 6 | 3 | → (4,1)=?, (4,2)=?, (4,3)=?, (4,4)=2, (4,5)=6, (4,6)=3, (4,7)=?, (4,8)=?, (4,9)=?
Row 5: | 5 2 3 | 6 | | → (5,1)=5, (5,2)=2, (5,3)=3, (5,4)=6, (5,5)=?, (5,6)=?, (5,7)=?, (5,8)=?, (5,9)=?
Row 6: | 1 6 | 2 5 | | → (6,1)=1, (6,2)=6, (6,3)=?, (6,4)=2, (6,5)=5, (6,6)=?, (6,7)=?, (6,8)=?, (6,9)=?
So now full grid:
```
Row 1: 4 . 1 | . . 2 | . . .
Row 2: 2 3 . | . . . | . . .
Row 3: 3 . . | 5 1 . | . . .
------+-------+------
Row 4: . . . | 2 6 3 | . . .
Row 5: 5 2 3 | 6 . . | . . .
Row 6: 1 6 . | 2 5 . | . . .
------+-------+------
Row 7: . . . | . . . | . . .
Row 8: . . . | . . . | . . .
Row 9: . . . | . . . | . . .
```
Now check column 3:
- (1,3) = 1
- (2,3) = ?
- (3,3) = ?
- (4,3) = ?
- (5,3) = 3
- (6,3) = ?
- (7,3) = ?
- (8,3) = ?
- (9,3) = ?
So only one 1 so far.
Now let’s look at box 1 (top-left):
```
4 . 1
2 3 .
3 . .
```
Numbers present: 1,2,3,4
Missing: 5,6,7,8,9
Also, row 1: 4, ?, 1 → needs 2,3,5,6,7,8,9
But 2 and 3 are in row 2.
Column 1: 4,2,3,?,5,1,?,?,? → has 1,2,3,4,5 → missing 6,7,8,9
Back to box 1:
- (1,2): can't be 1,2,3,4 → so 5,6,7,8,9
- (2,3): can't be 1,2,3 → so 4,5,6,7,8,9
- (3,2): can't be 3 → so 1,2,4,5,6,7,8,9
But (1,1)=4, (2,1)=2, (3,1)=3 → so column 1 has 4,2,3 → missing 1,5,6,7,8,9
But (1,1)=4, (2,1)=2, (3,1)=3 → so (4,1), (5,1)=5, (6,1)=1 → so column 1 has: 4,2,3,?,5,1,?,?,?
So values used: 1,2,3,4,5 → missing 6,7,8,9
Similarly, (5,1)=5, (6,1)=1 → so (4,1) must be 6,7,8,9
But let's move to box 5 (center): middle-center
Box 5:
```
. 6 3
6 . .
2 5 .
```
Wait:
Row 4: (4,4)=2, (4,5)=6, (4,6)=3
Row 5: (5,4)=6, (5,5)=?, (5,6)=?
Row 6: (6,4)=2, (6,5)=5, (6,6)=?
So box 5:
```
2 6 3
6 . .
2 5 .
```
Wait — (4,4)=2, (5,4)=6, (6,4)=2 → so two 2s in column 4 → (4,4)=2, (6,4)=2 → same column → conflict
Oh no! (4,4)=2, (6,4)=2 → both in column 4 → duplicate → invalid puzzle
Unless I'm misreading.
Let’s double-check:
Row 4: | | 2 6 | 3 | → so (4,4)=2, (4,5)=6, (4,6)=3
Row 6: | 1 6 | 2 5 | | → so (6,4)=2, (6,5)=5, (6,6)=?
Yes — (4,4)=2, (6,4)=2 → same column → invalid
So GRID - 73 is invalid due to duplicate 2 in column 4.
But that can't be right — probably a typo in your image.
Alternatively, maybe the grid is:
For row 6: | 1 6 | 2 5 | | — perhaps (6,4)=2, (6,5)=5 — yes.
But (4,4)=2 — so two 2s in column 4.
Unless the second box in row 4 is not starting at (4,4).
Wait — let's see the alignment.
Perhaps the grid is:
```
+-------+-------+-------+
| 4 | 1 | 2 |
| 2 3 | | |
| 3 | 5 1 | |
+-------+-------+-------+
| | 2 6 | 3 |
| 5 2 3 | 6 | |
| 1 6 | 2 5 | |
+-------+-------+-------+
```
Maybe the vertical bar after "2 6" means that the next number is in the next box.
But in row 4: " | | 2 6 | 3 | " — so the "2 6" is in the center box, so (4,4)=2, (4,5)=6, (4,6)=3
Row 6: " | 1 6 | 2 5 | | " — so (6,1)=1, (6,2)=6, (6,3)=?, then (6,4)=2, (6,5)=5, (6,6)=?
So yes, (4,4)=2, (6,4)=2 → column 4 has two 2s.
So this grid has a mistake.
Similarly, in GRID - 74:
```
| 1 5 4 | 2 | |
| 3 | | 5 |
| | 3 | 2 6 |
| | 2 | 1 4 |
| 6 3 | 4 5 | |
| 2 | 5 | 3 |
```
Row 1: (1,1)=1, (1,2)=5, (1,3)=4, (1,4)=2, (1,5)=?, (1,6)=?, (1,7)=?, (1,8)=?, (1,9)=?
Row 2: (2,1)=3, (2,2)=?, (2,3)=?, (2,4)=?, (2,5)=?, (2,6)=5, (2,7)=?, (2,8)=?, (2,9)=?
Row 3: (3,1)=?, (3,2)=?, (3,3)=3, (3,4)=?, (3,5)=?, (3,6)=2, (3,7)=6, (3,8)=?, (3,9)=?
Row 4: (4,1)=?, (4,2)=?, (4,3)=2, (4,4)=?, (4,5)=?, (4,6)=1, (4,7)=4, (4,8)=?, (4,9)=?
Row 5: (5,1)=6, (5,2)=3, (5,3)=?, (5,4)=4, (5,5)=5, (5,6)=?, (5,7)=?, (5,8)=?, (5,9)=?
Row 6: (6,1)=2, (6,2)=?, (6,3)=?, (6,4)=5, (6,5)=?, (6,6)=3, (6,7)=?, (6,8)=?, (6,9)=?
Now check column 4: (1,4)=2, (4,4)=?, (5,4)=4, (6,4)=5 → ok
But let's check for duplicates.
In box 5 (center): (4,4)=?, (4,5)=?, (4,6)=1, (5,4)=4, (5,5)=5, (5,6)=?, (6,4)=5, (6,5)=?, (6,6)=3
(5,5)=5, (6,4)=5 → different positions, ok.
But (5,4)=4, (6,4)=5 — ok.
No immediate conflict.
But in GRID - 73, we have a definite conflict: (4,4)=2 and (6,4)=2 in same column.
So unless the puzzle has a typo, it's unsolvable.
Given that, and since you asked to solve the problem, I suspect that the grids might have been mistyped in your image.
Alternatively, perhaps the "2 6" in row 4 is not (4,4)=2, but rather (4,5)=2, (4,6)=6, and (4,7)=3 — but then it would be " | 2 6 | 3 | " — which suggests (4,4)=2, (4,5)=6, (4,6)=3.
So likely, the puzzle is flawed.
To help you better, could you please:
1. Confirm if the grids are from a known source (e.g., a book or website)?
2. Or provide the numbers in a clean 9x9 grid format for each (e.g., using dots for blanks)?
For example:
```
GRID 73:
4 . 1 . . 2 . . .
2 3 . . . . . . .
3 . . 5 1 . . . .
. . . 2 6 3 . . .
5 2 3 6 . . . . .
1 6 . 2 5 . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
```
With this, I can solve it properly.
Otherwise, I can only guess.
But based on current data, GRID - 73 has a duplicate 2 in column 4, making it invalid.
Please clarify or provide corrected input.
I’d be happy to solve the others if they are valid.
---
Let me know how you'd like to proceed!
Since I can't view images directly, I’ll need you to provide the numbers in each grid in a text format (e.g., row by row), or describe any specific problem you're facing (e.g., solving one particular grid, finding a mistake, etc.).
However, since you've provided the image description with the grids clearly visible, I will now interpret and solve each grid based on what's shown in your text representation.
Let’s go through each grid one by one.
---
🔹 GRID - 73
```
+-------+-------+-------+
| 4 | 1 | 2 |
| 2 3 | | |
| 3 | 5 1 | |
+-------+-------+-------+
| | 2 6 | 3 |
| 5 2 3 | 6 | |
| 1 6 | 2 5 | |
+-------+-------+-------+
```
Wait — this seems to be formatted incorrectly. Let me reconstruct the grid properly from how it's drawn.
Looking at your layout:
#### GRID - 73:
```
[4][ ][1][ ][ ][2]
[2][3][1][ ][ ][ ]
[3][ ][ ][5][1][ ]
[ ][ ][ ][2][6][3]
[5][2][3][6][ ][ ]
[1][6][ ][2][5][ ]
```
But wait — this doesn’t align with standard 9x9 Sudoku. Let's assume the correct structure is:
Each 3x3 box is separated by lines, so let's parse it carefully.
From the visual layout:
```
GRID - 73
+-------+-------+-------+
| 4 | 1 | 2 |
| 2 3 | | |
| 3 | 5 1 | |
+-------+-------+-------+
| | 2 6 | 3 |
| 5 2 3 | 6 | |
| 1 6 | 2 5 | |
+-------+-------+-------+
```
This appears to be missing many cells. But actually, each line represents a row.
Let’s write out the full 9x9 grid for GRID - 73 as per the image:
Row 1: 4 _ 1 _ _ 2
Row 2: 2 3 1 _ _ _
Row 3: 3 _ _ 5 1 _
Row 4: _ _ _ 2 6 3
Row 5: 5 2 3 6 _ _
Row 6: 1 6 _ 2 5 _
Row 7: _ _ _ _ _ _
Row 8: _ _ _ _ _ _
Row 9: _ _ _ _ _ _
Wait — this isn't matching. The formatting is ambiguous.
Let me re-express based on typical Sudoku notation.
Looking again:
The top-left 3x3 box:
- Row 1: 4, _, 1
- Row 2: 2, 3, 1
- Row 3: 3, _, _
Then next box (top-middle):
- Row 1: _, _, 2
- Row 2: _, _, _
- Row 3: 5, 1, _
Top-right:
- Row 1: _, _, _
- Row 2: _, _, _
- Row 3: _, _, _
Middle-left:
- Row 4: _, _, _
- Row 5: 5, 2, 3
- Row 6: 1, 6, _
Middle-center:
- Row 4: 2, 6, 3
- Row 5: 6, _, _
- Row 6: 2, 5, _
Middle-right:
- Row 4: _, _, _
- Row 5: _, _, _
- Row 6: _, _, _
Bottom-left:
- Row 7: _, _, _
- Row 8: _, _, _
- Row 9: _, _, _
Bottom-center:
- Row 7: _, _, _
- Row 8: _, _, _
- Row 9: _, _, _
Bottom-right:
- Row 7: _, _, _
- Row 8: _, _, _
- Row 9: _, _, _
But this is too sparse. Let me try to extract the actual numbers from your layout.
After careful analysis of your original image text, here is the likely intended structure:
---
✔ Reconstructed Grids
Let me now correctly reconstruct each 9x9 grid based on your layout.
---
🔹 GRID - 73
```
Row 1: 4 _ 1 | _ _ 2 | _ _ _
Row 2: 2 3 1 | _ _ _ | _ _ _
Row 3: 3 _ _ | 5 1 _ | _ _ _
-------+-------+-------
Row 4: _ _ _ | 2 6 3 | _ _ _
Row 5: 5 2 3 | 6 _ _ | _ _ _
Row 6: 1 6 _ | 2 5 _ | _ _ _
-------+-------+-------
Row 7: _ _ _ | _ _ _ | _ _ _
Row 8: _ _ _ | _ _ _ | _ _ _
Row 9: _ _ _ | _ _ _ | _ _ _
```
So, full grid:
```
4 . 1 | . . 2 | . . .
2 3 1 | . . . | . . .
3 . . | 5 1 . | . . .
------+-------+------
. . . | 2 6 3 | . . .
5 2 3 | 6 . . | . . .
1 6 . | 2 5 . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
```
Now we can solve this step by step.
But before solving all four, please confirm if you want me to:
1. Solve all four grids?
2. Just explain the method?
3. Or focus on one?
Since you said “solve the problem”, I’ll assume you want all four solved.
Let’s proceed.
---
## ✔ Solving GRID - 73
We'll use standard Sudoku logic.
Let’s denote the grid:
```
(1) 4 . 1 | . . 2 | . . .
(2) 2 3 1 | . . . | . . .
(3) 3 . . | 5 1 . | . . .
------+-------+------
(4) . . . | 2 6 3 | . . .
(5) 5 2 3 | 6 . . | . . .
(6) 1 6 . | 2 5 . | . . .
------+-------+------
(7) . . . | . . . | . . .
(8) . . . | . . . | . . .
(9) . . . | . . . | . . .
```
Let’s start with easy placements.
Step 1: Look at Box 1 (top-left)
Box 1:
```
4 . 1
2 3 1 → Wait! Two 1s? That can't be.
```
Hold on — Row 2 has 2,3,1 → so (2,3)=1
Row 1 has (1,3)=1 → So two 1s in column 3 already? No!
Wait — (1,3) = 1
(2,3) = 1 → same column, same value → Invalid
That can't happen.
Ah! There must be an error in interpretation.
Let’s look again at your original:
> GRID - 73
>
> ```
> +-------+-------+-------+
> | 4 | 1 | 2 |
> | 2 3 | | |
> | 3 | 5 1 | |
> +-------+-------+-------+
> | | 2 6 | 3 |
> | 5 2 3 | 6 | |
> | 1 6 | 2 5 | |
> +-------+-------+-------+
> ```
Wait — perhaps the boxes are not aligned properly.
Let’s count the cells.
First box (top-left):
- Row 1: 4, _, 1 → three cells
- Row 2: 2, 3, _ → but then next cell is blank
- Row 3: 3, _, _ → and then 5,1
So maybe:
The first 3x3 box is:
- (1,1)=4, (1,2)=_, (1,3)=1
- (2,1)=2, (2,2)=3, (2,3)=1 → oh no! (1,3)=1 and (2,3)=1 → same column 3, both 1 → invalid
But that can't be. So either the puzzle is invalid, or my parsing is wrong.
Wait — perhaps the grid is meant to be:
Let’s assume the vertical bars separate the 3x3 boxes.
So:
Grid 73:
```
Box 1: Box 2: Box 3:
4 . 1 . . 2 . . .
2 3 1 . . . . . .
3 . . 5 1 . . . .
Box 4: Box 5: Box 6:
. . . 2 6 3 . . .
5 2 3 6 . . . . .
1 6 . 2 5 . . . .
Box 7: Box 8: Box 9:
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
```
Now check column 3:
- (1,3) = 1
- (2,3) = 1 → same column, same number → Conflict
So either the puzzle is corrupted, or there’s a typo.
But (2,3) is part of first box: row 2, col 3 → 1
And (1,3) = 1 → same column → duplicate
So invalid puzzle unless I misread.
Wait — maybe the second row is:
"2 3 | | " — so (2,1)=2, (2,2)=3, (2,3)=? — but it says "2 3", then space, so maybe (2,3) is not filled.
But then why is "1" in the third position?
Look back:
> | 4 | 1 | 2 |
So first box: 4, _, 1 → (1,1)=4, (1,2)=?, (1,3)=1
Second box: _, _, 2 → (1,4)=?, (1,5)=?, (1,6)=2
Third box: _, _, _ → (1,7)=?, (1,8)=?, (1,9)=?
Row 2: | 2 3 | | | → (2,1)=2, (2,2)=3, (2,3)=? → but then next is blank, so (2,4)=?, etc.
Row 3: | 3 | 5 1 | | → (3,1)=3, (3,2)=?, (3,3)=?, (3,4)=5, (3,5)=1, (3,6)=?, (3,7)=?, (3,8)=?, (3,9)=?
So far:
Row 1: 4 ? 1 | ? ? 2 | ? ? ?
Row 2: 2 3 ? | ? ? ? | ? ? ?
Row 3: 3 ? ? | 5 1 ? | ? ? ?
No conflict yet.
Now row 4: | | 2 6 | 3 | → (4,1)=?, (4,2)=?, (4,3)=?, (4,4)=2, (4,5)=6, (4,6)=3, (4,7)=?, (4,8)=?, (4,9)=?
Row 5: | 5 2 3 | 6 | | → (5,1)=5, (5,2)=2, (5,3)=3, (5,4)=6, (5,5)=?, (5,6)=?, (5,7)=?, (5,8)=?, (5,9)=?
Row 6: | 1 6 | 2 5 | | → (6,1)=1, (6,2)=6, (6,3)=?, (6,4)=2, (6,5)=5, (6,6)=?, (6,7)=?, (6,8)=?, (6,9)=?
So now full grid:
```
Row 1: 4 . 1 | . . 2 | . . .
Row 2: 2 3 . | . . . | . . .
Row 3: 3 . . | 5 1 . | . . .
------+-------+------
Row 4: . . . | 2 6 3 | . . .
Row 5: 5 2 3 | 6 . . | . . .
Row 6: 1 6 . | 2 5 . | . . .
------+-------+------
Row 7: . . . | . . . | . . .
Row 8: . . . | . . . | . . .
Row 9: . . . | . . . | . . .
```
Now check column 3:
- (1,3) = 1
- (2,3) = ?
- (3,3) = ?
- (4,3) = ?
- (5,3) = 3
- (6,3) = ?
- (7,3) = ?
- (8,3) = ?
- (9,3) = ?
So only one 1 so far.
Now let’s look at box 1 (top-left):
```
4 . 1
2 3 .
3 . .
```
Numbers present: 1,2,3,4
Missing: 5,6,7,8,9
Also, row 1: 4, ?, 1 → needs 2,3,5,6,7,8,9
But 2 and 3 are in row 2.
Column 1: 4,2,3,?,5,1,?,?,? → has 1,2,3,4,5 → missing 6,7,8,9
Back to box 1:
- (1,2): can't be 1,2,3,4 → so 5,6,7,8,9
- (2,3): can't be 1,2,3 → so 4,5,6,7,8,9
- (3,2): can't be 3 → so 1,2,4,5,6,7,8,9
But (1,1)=4, (2,1)=2, (3,1)=3 → so column 1 has 4,2,3 → missing 1,5,6,7,8,9
But (1,1)=4, (2,1)=2, (3,1)=3 → so (4,1), (5,1)=5, (6,1)=1 → so column 1 has: 4,2,3,?,5,1,?,?,?
So values used: 1,2,3,4,5 → missing 6,7,8,9
Similarly, (5,1)=5, (6,1)=1 → so (4,1) must be 6,7,8,9
But let's move to box 5 (center): middle-center
Box 5:
```
. 6 3
6 . .
2 5 .
```
Wait:
Row 4: (4,4)=2, (4,5)=6, (4,6)=3
Row 5: (5,4)=6, (5,5)=?, (5,6)=?
Row 6: (6,4)=2, (6,5)=5, (6,6)=?
So box 5:
```
2 6 3
6 . .
2 5 .
```
Wait — (4,4)=2, (5,4)=6, (6,4)=2 → so two 2s in column 4 → (4,4)=2, (6,4)=2 → same column → conflict
Oh no! (4,4)=2, (6,4)=2 → both in column 4 → duplicate → invalid puzzle
Unless I'm misreading.
Let’s double-check:
Row 4: | | 2 6 | 3 | → so (4,4)=2, (4,5)=6, (4,6)=3
Row 6: | 1 6 | 2 5 | | → so (6,4)=2, (6,5)=5, (6,6)=?
Yes — (4,4)=2, (6,4)=2 → same column → invalid
So GRID - 73 is invalid due to duplicate 2 in column 4.
But that can't be right — probably a typo in your image.
Alternatively, maybe the grid is:
For row 6: | 1 6 | 2 5 | | — perhaps (6,4)=2, (6,5)=5 — yes.
But (4,4)=2 — so two 2s in column 4.
Unless the second box in row 4 is not starting at (4,4).
Wait — let's see the alignment.
Perhaps the grid is:
```
+-------+-------+-------+
| 4 | 1 | 2 |
| 2 3 | | |
| 3 | 5 1 | |
+-------+-------+-------+
| | 2 6 | 3 |
| 5 2 3 | 6 | |
| 1 6 | 2 5 | |
+-------+-------+-------+
```
Maybe the vertical bar after "2 6" means that the next number is in the next box.
But in row 4: " | | 2 6 | 3 | " — so the "2 6" is in the center box, so (4,4)=2, (4,5)=6, (4,6)=3
Row 6: " | 1 6 | 2 5 | | " — so (6,1)=1, (6,2)=6, (6,3)=?, then (6,4)=2, (6,5)=5, (6,6)=?
So yes, (4,4)=2, (6,4)=2 → column 4 has two 2s.
So this grid has a mistake.
Similarly, in GRID - 74:
```
| 1 5 4 | 2 | |
| 3 | | 5 |
| | 3 | 2 6 |
| | 2 | 1 4 |
| 6 3 | 4 5 | |
| 2 | 5 | 3 |
```
Row 1: (1,1)=1, (1,2)=5, (1,3)=4, (1,4)=2, (1,5)=?, (1,6)=?, (1,7)=?, (1,8)=?, (1,9)=?
Row 2: (2,1)=3, (2,2)=?, (2,3)=?, (2,4)=?, (2,5)=?, (2,6)=5, (2,7)=?, (2,8)=?, (2,9)=?
Row 3: (3,1)=?, (3,2)=?, (3,3)=3, (3,4)=?, (3,5)=?, (3,6)=2, (3,7)=6, (3,8)=?, (3,9)=?
Row 4: (4,1)=?, (4,2)=?, (4,3)=2, (4,4)=?, (4,5)=?, (4,6)=1, (4,7)=4, (4,8)=?, (4,9)=?
Row 5: (5,1)=6, (5,2)=3, (5,3)=?, (5,4)=4, (5,5)=5, (5,6)=?, (5,7)=?, (5,8)=?, (5,9)=?
Row 6: (6,1)=2, (6,2)=?, (6,3)=?, (6,4)=5, (6,5)=?, (6,6)=3, (6,7)=?, (6,8)=?, (6,9)=?
Now check column 4: (1,4)=2, (4,4)=?, (5,4)=4, (6,4)=5 → ok
But let's check for duplicates.
In box 5 (center): (4,4)=?, (4,5)=?, (4,6)=1, (5,4)=4, (5,5)=5, (5,6)=?, (6,4)=5, (6,5)=?, (6,6)=3
(5,5)=5, (6,4)=5 → different positions, ok.
But (5,4)=4, (6,4)=5 — ok.
No immediate conflict.
But in GRID - 73, we have a definite conflict: (4,4)=2 and (6,4)=2 in same column.
So unless the puzzle has a typo, it's unsolvable.
Given that, and since you asked to solve the problem, I suspect that the grids might have been mistyped in your image.
Alternatively, perhaps the "2 6" in row 4 is not (4,4)=2, but rather (4,5)=2, (4,6)=6, and (4,7)=3 — but then it would be " | 2 6 | 3 | " — which suggests (4,4)=2, (4,5)=6, (4,6)=3.
So likely, the puzzle is flawed.
To help you better, could you please:
1. Confirm if the grids are from a known source (e.g., a book or website)?
2. Or provide the numbers in a clean 9x9 grid format for each (e.g., using dots for blanks)?
For example:
```
GRID 73:
4 . 1 . . 2 . . .
2 3 . . . . . . .
3 . . 5 1 . . . .
. . . 2 6 3 . . .
5 2 3 6 . . . . .
1 6 . 2 5 . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
```
With this, I can solve it properly.
Otherwise, I can only guess.
But based on current data, GRID - 73 has a duplicate 2 in column 4, making it invalid.
Please clarify or provide corrected input.
I’d be happy to solve the others if they are valid.
---
Let me know how you'd like to proceed!
Parent Tip: Review the logic above to help your child master the concept of printable sudoku 5th grade.