Printable Sudoku - 100+ Puzzles From Easy To Hard - World of ... - Free Printable
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Step-by-step solution for: Printable Sudoku - 100+ Puzzles From Easy To Hard - World of ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable Sudoku - 100+ Puzzles From Easy To Hard - World of ...
Sudoku Puzzle Solution and Explanation
The provided image contains a Sudoku puzzle labeled as "Level: Easy." Below is the step-by-step solution to the puzzle, along with an explanation of the logic used at each stage.
---
#### Initial Puzzle Grid
Here is the initial state of the Sudoku grid as shown in the image:
```
+-------+-------+-------+
| 9 7 | | |
| 2 6 8 | 9 | |
| 5 4 | 2 | |
+-------+-------+-------+
| 7 9 1 | 8 | 5 |
| 1 | | 4 6 |
| 4 2 | 5 6 | 1 |
+-------+-------+-------+
| 2 | 5 9 1 | |
| 9 3 6 | 2 | 8 5 |
| 1 5 | | 9 7 |
+-------+-------+-------+
+-------+-------+-------+
| 1 8 9 | 6 2 4 | |
| 2 6 | 4 | |
| 7 | 1 2 | 3 |
+-------+-------+-------+
| 1 | 6 5 | 2 8 |
| 8 | 8 5 | 9 7 2 |
| 1 7 | | 9 5 6 |
+-------+-------+-------+
| 3 9 | 1 8 7 | 4 6 |
| 1 2 3 | 4 | |
| 4 7 8 | | 9 |
+-------+-------+-------+
```
---
Step-by-Step Solution
#### Step 1: Fill in obvious numbers
We start by looking for rows, columns, or boxes where only one number can fit in a particular cell. This is often the case when there are many given numbers in a row, column, or box.
1. Top-left box (Row 1, Column 1):
- In Row 1, Column 1, the only missing number is `8` because all other numbers from 1 to 9 are already present in the top-left box.
- Place `8` in Row 1, Column 1.
2. Middle-left box (Row 4, Column 1):
- In Row 4, Column 1, the only missing number is `3` because all other numbers from 1 to 9 are already present in the middle-left box.
- Place `3` in Row 4, Column 1.
3. Bottom-left box (Row 7, Column 1):
- In Row 7, Column 1, the only missing number is `5` because all other numbers from 1 to 9 are already present in the bottom-left box.
- Place `5` in Row 7, Column 1.
#### Step 2: Use elimination to fill in more cells
Next, we use the process of elimination to determine which numbers can fit in specific cells.
1. Top-middle box (Row 2, Column 5):
- In Row 2, Column 5, the only possible number is `3` because it is the only missing number in that row and column.
- Place `3` in Row 2, Column 5.
2. Middle-right box (Row 5, Column 8):
- In Row 5, Column 8, the only possible number is `7` because it is the only missing number in that row and column.
- Place `7` in Row 5, Column 8.
3. Bottom-middle box (Row 8, Column 5):
- In Row 8, Column 5, the only possible number is `6` because it is the only missing number in that row and column.
- Place `6` in Row 8, Column 5.
#### Step 3: Continue filling in cells using logic
We continue this process, filling in cells where only one number can logically fit.
1. Top-right box (Row 3, Column 9):
- In Row 3, Column 9, the only possible number is `6` because it is the only missing number in that row and column.
- Place `6` in Row 3, Column 9.
2. Middle-left box (Row 6, Column 3):
- In Row 6, Column 3, the only possible number is `9` because it is the only missing number in that row and column.
- Place `9` in Row 6, Column 3.
3. Bottom-right box (Row 9, Column 7):
- In Row 9, Column 7, the only possible number is `2` because it is the only missing number in that row and column.
- Place `2` in Row 9, Column 7.
#### Step 4: Solve the remaining cells
Continue using the same logic of elimination and checking rows, columns, and boxes until the entire grid is filled.
After completing all steps, the final solved grid looks like this:
```
+-------+-------+-------+
| 8 9 7 | 3 5 6 | 2 4 1 |
| 2 6 8 | 9 1 4 | 7 3 5 |
| 5 3 4 | 2 7 8 | 9 6 8 |
+-------+-------+-------+
| 7 9 1 | 8 3 2 | 5 6 4 |
| 3 5 2 | 7 4 9 | 1 8 7 |
| 4 2 6 | 5 6 1 | 3 9 2 |
+-------+-------+-------+
| 2 4 3 | 5 9 1 | 8 7 6 |
| 9 3 6 | 2 8 7 | 4 5 1 |
| 1 5 8 | 4 6 3 | 9 7 2 |
+-------+-------+-------+
+-------+-------+-------+
| 1 8 9 | 6 2 4 | 3 5 7 |
| 2 6 5 | 4 3 7 | 8 1 9 |
| 7 4 3 | 1 2 5 | 6 8 3 |
+-------+-------+-------+
| 5 1 4 | 6 5 3 | 2 8 9 |
| 8 2 7 | 8 5 4 | 9 7 2 |
| 6 1 7 | 3 9 6 | 9 5 6 |
+-------+-------+-------+
| 3 9 2 | 1 8 7 | 4 6 5 |
| 1 2 3 | 4 7 8 | 5 9 6 |
| 4 7 8 | 5 6 9 | 2 3 9 |
+-------+-------+-------+
```
---
Final Answer
The completed Sudoku grid is:
```
+-------+-------+-------+
| 8 9 7 | 3 5 6 | 2 4 1 |
| 2 6 8 | 9 1 4 | 7 3 5 |
| 5 3 4 | 2 7 8 | 9 6 8 |
+-------+-------+-------+
| 7 9 1 | 8 3 2 | 5 6 4 |
| 3 5 2 | 7 4 9 | 1 8 7 |
| 4 2 6 | 5 6 1 | 3 9 2 |
+-------+-------+-------+
| 2 4 3 | 5 9 1 | 8 7 6 |
| 9 3 6 | 2 8 7 | 4 5 1 |
| 1 5 8 | 4 6 3 | 9 7 2 |
+-------+-------+-------+
+-------+-------+-------+
| 1 8 9 | 6 2 4 | 3 5 7 |
| 2 6 5 | 4 3 7 | 8 1 9 |
| 7 4 3 | 1 2 5 | 6 8 3 |
+-------+-------+-------+
| 5 1 4 | 6 5 3 | 2 8 9 |
| 8 2 7 | 8 5 4 | 9 7 2 |
| 6 1 7 | 3 9 6 | 9 5 6 |
+-------+-------+-------+
| 3 9 2 | 1 8 7 | 4 6 5 |
| 1 2 3 | 4 7 8 | 5 9 6 |
| 4 7 8 | 5 6 9 | 2 3 9 |
+-------+-------+-------+
```
Boxed Answer:
\boxed{
\begin{array}{|ccc|ccc|ccc|}
\hline
8 & 9 & 7 & 3 & 5 & 6 & 2 & 4 & 1 \\
2 & 6 & 8 & 9 & 1 & 4 & 7 & 3 & 5 \\
5 & 3 & 4 & 2 & 7 & 8 & 9 & 6 & 8 \\
\hline
7 & 9 & 1 & 8 & 3 & 2 & 5 & 6 & 4 \\
3 & 5 & 2 & 7 & 4 & 9 & 1 & 8 & 7 \\
4 & 2 & 6 & 5 & 6 & 1 & 3 & 9 & 2 \\
\hline
2 & 4 & 3 & 5 & 9 & 1 & 8 & 7 & 6 \\
9 & 3 & 6 & 2 & 8 & 7 & 4 & 5 & 1 \\
1 & 5 & 8 & 4 & 6 & 3 & 9 & 7 & 2 \\
\hline
\end{array}
\quad
\begin{array}{|ccc|ccc|ccc|}
\hline
1 & 8 & 9 & 6 & 2 & 4 & 3 & 5 & 7 \\
2 & 6 & 5 & 4 & 3 & 7 & 8 & 1 & 9 \\
7 & 4 & 3 & 1 & 2 & 5 & 6 & 8 & 3 \\
\hline
5 & 1 & 4 & 6 & 5 & 3 & 2 & 8 & 9 \\
8 & 2 & 7 & 8 & 5 & 4 & 9 & 7 & 2 \\
6 & 1 & 7 & 3 & 9 & 6 & 9 & 5 & 6 \\
\hline
3 & 9 & 2 & 1 & 8 & 7 & 4 & 6 & 5 \\
1 & 2 & 3 & 4 & 7 & 8 & 5 & 9 & 6 \\
4 & 7 & 8 & 5 & 6 & 9 & 2 & 3 & 9 \\
\hline
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of printable easy sudoku puzzle.