enxio27 wrote:
Ok, so would the 6s in column 5 and the 6s in column 8 both be conjugate pairs?
I cannot tell for sure, because your example doesn't show where the candidates are locked for which house. This is the crutial information I was reffering.
Apparently, it seems the 6 for C5 is locked in R47C5 and the 6 for C8 is locked in R46C8, correct ? If so, these 2 columns indeed form conjugate pairs for 6.
enxio27 wrote:
OK, I grasp the concepts. In the example I gave, though, there are no candidates to be eliminated by the skyscraper, finned X-wing, or sashimi X-wing, correct?
Yes, assuming the 6 is locked for C5 and C8, this does not allow any elimination since it does not form a skyscraper.
Code:
. . . | . / . | . / .
. . . | . / . | . / .
. . . | . / . | . / .
------+-------+------
6 6 . | . 6 . | . 6 .
. . . | . / . | . / .
. . . | . / . | . 6 .
------+-------+------
. . . | . 6 . | . / .
. . . | . / . | . / .
. . . | . / . | . / .
We can deduce that either R7C5 or R6C8 must hold a 6, possibly both R7C5 and R6C8 hold a 6. But there is no common
buddies / peers of both R7C5 and R6C8 outside C58, so we cannot eliminate any candidate.
Now, if 6 for C8 were locked in R49C8, then it would have formed a skyscraper allowing to eliminate 6 from R7C79 and R9C46 (cells with *).
Code:
. . . | . / . | . / .
. . . | . / . | . / .
. . . | . / . | . / .
------+-------+------
6 6 . | . 6 . | . 6 .
. . . | . / . | . / .
. . . | . / . | . / .
------+-------+------
. . . | . 6 . | * / *
. . . | . / . | . / .
. . . | * / * | . 6 .