Sudoku Lesson Notes

Introduction

• Focus on new techniques for Sudoku solving.
• Learn how to watch for three numbers in a line within a block.
• Understand how to extract one number from three blocks to resolve numbers in the other two blocks.

Main Techniques

Horizontal Block Analysis

• Step-by-step number checking:
  • Ones: Placement depends on existing numbers and cancellations by intersecting rows.
  • Twos to Nines: Check existing placements and deduce possible locations.
  • Eights: Example of determining placement within a block based on number constraints.

Vertical Block Considerations

• Ones to Nines: Further deduction based on vertical alignment and existing numbers.
• Special Note on Twos: Introduction of the concept of placing twos within lines in a block when otherwise uncertain.

Importance of Lines Within Blocks

• Five Placement Example: Requires awareness of line constraints.
• Sixes: Strategic deduction based on available slots and line interference.
• Sevens to Nines: Strategic placement and implications observed through deduction.

Matching Pairs and Ramifications

• Matching Pairs: Identified as critical for further solving.
• Special Cases: Usage of matching pairs to deduce multiple number placements.
• Ramifications: Highlighted importance of keeping track of ramifications from placements.

Advanced Techniques

• Column Analysis: Focus on remaining numbers in columns and deducing placements.
• Two-Cell Logic: Emphasized importance of solving rows or columns with two empty cells as matching pairs.

Conclusion

• Review: Strong emphasis on line-based logic within blocks and the use of matching pairs.
• Matching Pairs & Little Numbers: Reinforcement of the ability to solve using known matching pair strategies.
• Next Steps: Indication of further exploration in upcoming lessons.