Sudoku Players' Forum (clone)

if a "Quanum cell was formed" from the 2 cells in a Type2/3 Unique rectangle, can we extend the chain of events so that the quantum cell can form an XY wing or an XYZ wing ???!!!! (xz in box yz in line or vice versa)

Thanx

Tarek

Yes Tarek. Consider the following (hypotethical) simple example:

Code: Select all

 . .  . | .   .  .   | . . .
 . .  . | 67  .  67  | . . .
 . .  . | .   .  .   | . . .   
--------+------------+------
 . .  . | .   .  .   | . . .
 . .  . | .   .  .   | . . .
 . .  . | .   .  .   | . . .
--------+------------+------
 . 24 . | 267 .  367 | . . .
 . .  . | .   .  .   | . . .
 . X  . | .   34 .   | . . .


We have:

[r9c2]-4-[r7c2]-2-[r7c4]=2|3=[r7c6]-3-[r9c5]-4-[r9c2] => r9c2<>4.

The two cells r7c46 function as a bivalue one, because if r7c4 is not "2" then r7c6 must be "3", and vice-versa.

Regards, Carcul

Thanx Carcul,

It sounds logical, interesting stuff to add to my solver.

Tarek