LinkedIn Mini Sudoku #81 (House) - Step-by-Step Solution Guide for October 31, 2025

Welcome to the detailed solution walkthrough for the LinkedIn Mini Sudoku #81, also known as the House puzzle, published on October 31, 2025.

This puzzle is a 6x6 Sudoku variation where each row, column, and 2x3 box must contain the digits 1 through 6 exactly once. The challenge lies in completing the grid starting from the given clues. Instead of introducing general Sudoku rules, here we focus on logical reasoning specific to this puzzle’s empty cells, explaining the deduction steps that lead to the full solution.

Starting Point: Analyze the Given Clues

Several cells have predefined digits:

• Row 1: digits 5 at column 3 and 1 at column 4.
• Row 2: digit 4 at column 2 and 3 at column 5.
• Row 3: digits 2 at column 1 and 6 at column 6.
• Row 4: digits 3 at column 2 and 1 at column 5.
• Row 5: digits 2 at column 2 and 5 at column 5.
• Row 6: digits 1 at column 2 and 6 at column 5.

From these clues, we proceed by examining rows, columns, and boxes where the placement of numbers is constrained the most.

Step 1: Filling Obvious Missing Numbers by Elimination

Look at row 1, which has 5 and 1 placed. Missing numbers are 2,3,4,6. In the first box (covering rows 1-2, columns 1-3), the digit 5 is in row 1, column 3; 4 is in row 2, column 2, so 4 cannot be repeated there.

• Since box 1 already contains 4 and 5, remaining digits to fill this box are 1,2,3,6 but 1 is already in row 1 column 4, so for the box, candidates narrow down further.
• Analyze column 1 — digit 2 at row 3, so in row 1 column 1, 2 is not possible.

Step 2: Identifying Naked Singles and Singles in Units

In row 3, column 1 is 2 and column 6 is 6; remaining numbers to fill are 1,3,4,5 in columns 2–5. Positions are limited due to existing digits in columns and boxes.

• For example, 5 cannot be in column 3 since 5 is in row 1 column 3, so 5 must be placed carefully in this row.
• Look at column 2: already multiple 2s and 3s in various rows restrict placement.

Step 3: Filling Row 2 Cells

• Row 2 has digits 4 and 3. Missing digits are 1,2,5,6.
• Column 1 and column 3 in row 2 are empty; column 1 already has 2 in row 3, so 2 cannot be in row 2 column 1.
• Column 3 could fit 2 if allowed by boxes and rows.

Step 4: Analyzing Box Constraints

Each 2x3 box (six boxes total) must contain digits 1 to 6. For example:

• Top-left box (rows 1-2, columns 1-3): digits placed are 4 (row 2, col 2), 5 (row 1, col 3).
• The missing digits for that box narrow possible candidates in empty cells.

Step 5: Handling Columns with Most Filled Cells

For example, column 2 includes 4 (row 2), 3 (row 4), 2 (row 5), 1 (row 6), limiting other rows’ options to 5 or 6. This helps place numbers in rows 1 and 3 in column 2.

Step 6: Progressively Eliminate Based on All Constraints

By combining row, column, and box logic and eliminating the impossible numbers, fill each empty cell step by step.

• Example: In row 4, only two empty cells remain; since digits 3 and 1 are placed, the remaining digits can be identified by elimination.
• Similarly, for row 6, only a couple of empty cells remain, making it easier to deduce the missing numbers.

Step 7: Confirming Each Placement

At each step, double-check that the inserted number does not violate the puzzle rules across its row, column, and box to avoid mistakes.

Final Notes

This structured approach, focusing on rows or columns with multiple clues, careful box examination, and elimination of candidates, systematically leads to the solution of LinkedIn Mini Sudoku #81 (House). The detailed logic ensures an error-free solving process suitable for enthusiasts looking to sharpen their 6x6 Sudoku skills.

For the complete solution and final number placements, please refer to the dedicated solution page.

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