Printable Sudoku puzzles at beginners level for smaller and bigger ... - Free Printable

It looks like you've uploaded a 4×4 grid puzzle, possibly a Sudoku-like or logic puzzle, where the goal is to fill in the missing numbers based on some rules. Let's analyze the given grid:

```
+----+----+----+----+
| | 4 | 3 | 2 |
+----+----+----+----+
| 3 | | | |
+----+----+----+----+
| 4 | 1 | | |
+----+----+----+----+
| | | 4 | 1 |
+----+----+----+----+
```

We can see that this is a 4×4 grid, and there are some numbers already filled in. The goal is likely to complete the grid so that each row, column, and possibly 2×2 subgrid contains the digits 1 through 4 exactly once — similar to a 4×4 Sudoku.

Let’s proceed step by step.

---

Step 1: Understand the Rules

In a standard 4×4 Sudoku, the rules are:
- Each row must contain the digits 1, 2, 3, 4 exactly once.
- Each column must contain the digits 1, 2, 3, 4 exactly once.
- Each 2×2 subgrid (also called a "box") must contain the digits 1, 2, 3, 4 exactly once.

We will use these rules to deduce the missing values.

---

Step 2: Label the Grid

Let’s label the cells as `grid[row][col]`, with rows and columns from 0 to 3.

Given:

```
Row 0: [ ?, 4, 3, 2 ]
Row 1: [ 3, ?, ?, ? ]
Row 2: [ 4, 1, ?, ? ]
Row 3: [ ?, ?, 4, 1 ]
```

---

Step 3: Analyze Row 0

Row 0: [ ?, 4, 3, 2 ]

Missing number: 1

So, cell (0,0) = 1

Now:
```
Row 0: [ 1, 4, 3, 2 ]
```

---

Step 4: Analyze Column 0

Column 0: [ 1, 3, 4, ? ]

Has 1, 3, 4 → missing 2

So, cell (3,0) = 2

Now:
```
Row 3: [ 2, ?, 4, 1 ]
```

---

Step 5: Analyze Row 3

Row 3: [ 2, ?, 4, 1 ]

Missing numbers: 3

So, cell (3,1) = 3

Now:
```
Row 3: [ 2, 3, 4, 1 ]
```

---

Step 6: Update Column 1

Column 1: [ 4, ?, 1, 3 ]

Has 4, 1, 3 → missing 2

So, cell (1,1) = 2

Now:
```
Row 1: [ 3, 2, ?, ? ]
```

---

Step 7: Analyze Row 1

Row 1: [ 3, 2, ?, ? ]

Missing: 1, 4

So, (1,2) and (1,3) are 1 and 4 in some order.

---

Step 8: Analyze Column 2

Column 2: [ 3, ?, ?, 4 ]

Has 3, 4 → missing 1, 2

So, (1,2) and (2,2) must be 1 and 2

But from earlier, (1,2) is either 1 or 4.

But now it must be 1 or 2 → so intersection is only 1

Therefore, (1,2) = 1

Then (1,3) = 4

Now:
```
Row 1: [ 3, 2, 1, 4 ]
```

And (2,2) must be 2 (since column 2 needs 1 and 2, and 1 is used)

So (2,2) = 2

Now:
```
Row 2: [ 4, 1, 2, ? ]
```

So missing in row 2: 3 → (2,3) = 3

Now:
```
Row 2: [ 4, 1, 2, 3 ]
```

---

Step 9: Check Column 3

Column 3: [ 2, 4, 3, 1 ] → all present: 1,2,3,4 → good.

---

Step 10: Final Grid

Let’s write the full grid:

```
Row 0: [ 1, 4, 3, 2 ]
Row 1: [ 3, 2, 1, 4 ]
Row 2: [ 4, 1, 2, 3 ]
Row 3: [ 2, 3, 4, 1 ]
```

---

Step 11: Verify All Constraints

#### Rows:
- Row 0: 1,4,3,2 → all unique ✔
- Row 1: 3,2,1,4 → ✔
- Row 2: 4,1,2,3 → ✔
- Row 3: 2,3,4,1 → ✔

#### Columns:
- Col 0: 1,3,4,2 → ✔
- Col 1: 4,2,1,3 → ✔
- Col 2: 3,1,2,4 → ✔
- Col 3: 2,4,3,1 → ✔

#### 2×2 Subgrids:

Top-left (rows 0–1, cols 0–1):
```
1 4
3 2
```
→ 1,4,3,2 → ✔

Top-right (cols 2–3):
```
3 2
1 4
```
→ 3,2,1,4 → ✔

Bottom-left (rows 2–3, cols 0–1):
```
4 1
2 3
```
→ 4,1,2,3 → ✔

Bottom-right (cols 2–3):
```
2 3
4 1
```
→ 2,3,4,1 → ✔

All constraints satisfied!

---

✔ Final Answer:

```
+----+----+----+----+
| 1 | 4 | 3 | 2 |
+----+----+----+----+
| 3 | 2 | 1 | 4 |
+----+----+----+----+
| 4 | 1 | 2 | 3 |
+----+----+----+----+
| 2 | 3 | 4 | 1 |
+----+----+----+----+
```

This is the completed 4×4 Sudoku puzzle.