Teach Yourself Sudoku
Learn the secrets that let you easily solve Sudoku puzzles faster!
Lesson #8B. More on TEAMS
To really see the impact of TEAMS, weíll need a larger puzzle fragment (as always, this is not meant to be a real puzzle that you should attempt to solve because Iíve provided the necessary numbers.† Itís just a fragment designed illustrate this exercise.)
Here it is:
Using Rule TCB (the TEAM lives in both a single Column and a single Block) allows us to remove other occurrences of 2-6-7 from both the Column and Block in which it resides.
Since Iíve already taken you step-by-step through the process with the other numbers in the Block (4-6, 3-4-6, 2-3-5), Iím not going to repeat that process here. However, letís take it step by step for the Column as that is new territory for us.
Letís start at the top cell (2-9) and remove any other occurrences of 2-6-7:
the 2-9 becomes just 9 (2 removed)
the 9-5 becomes just 5 as we now have a 9 in the cell above
the 1-3 doesnít change
weíll skip the next three cells as they are part of the TEAM and remain unchanged for the time being
the 7-8 becomes just 8 (7 removed)
the 1-3-8 becomes 1-3 as we now have an 8 in the cell above
Using all of the SOLVED numbers that we found, the updated grid fragment looks likes this:
So we were able to add six new numbers (9,5,4,3,5,and 8) to puzzle by using TEAMS.† Pretty nifty, no?† Now, to be honest, Iíve intentionally setup these grids to yield several SOLVED numbers based on just a single TEAM.† Will it always be this easy?† No, of course not.† But by using TEAM logic, youíll be able to quickly and correctly solve your Sudoku puzzles no matter how easy or hard they might be.† So whether you advance in leaps and bounds (as we did here) or in just a single step at a time, TEAMS will always help you move forward.
One last comment on this grid: You may have noticed that we have uncovered a new TEAM (1-3) that lives in the very same Column as our original TEAM (2-6-7).† This is perfectly fine, you can have more than one TEAM occupying a Row / Column / Block.† The only restriction is that they must not have any numbers in common so check them to make sure that they really are unique and independent from one another.
NEXT UP: Lesson #9.† PIN DOWNS
Copyright 2006 Gary Ward All Rights Reserved