Manually solve Sudoku

• › Overview
• › Tips for solving Sudoku manually
• › Crosshatching
• › Nearly Full Entities
• › Multi Step Logic
• › Pairs of Numbers
• › Pattern
• › Step by Step

Solving Sudoku with a Computer

• › Backtracking
• › Dancing Links

Search for Pairs of Numbers

It's easiest to describe the search of pairs of numbers by an example:

A sparse Sudoku

This Sudoku does not have a uniq solution, but it is a good example nontheless.

When you try normal crosshatching you don't find a number, but you find that the 2 and 8 have only two possible cells in the upper left block.

The 2 and 8 have only two possible cells each.

You should mark this in your Sudoku because it is usefull later on.

The places for the two numbers are marked.

The 2 and 8 have to be in these two cells, therefore no other numbers can be in these cells.

The two cells are blocked for all other numbers.

Knowing that you can again use crosshatching:

You can find a place for the 4 using crosshatching.

The 4 previously had three possible positions in the upper left 3x3 block, now only of of them is left:

The Sudoku with the newly found 4

This technique is very usefull when using pen and paper to solve a Sudoku.

It works with triples instead of pairs as well, if there the same three cells are possible for all three numbers.