Tutorial #75. The skyscraper A detailed look.

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The skyscraper takes time to spot but can be very valuable in eliminating small numbers.
An understanding of strong (conjugate pairs) and weak links is important.
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Shehu Mayaki sent me this summary. Thanks Shehu
SUDOKU SKYSCRAPER TECHNIQUE

1) 1 Candidate forming a conjugate pair (i.e: only 2 cells in a row or column) in 4 separate cells which lie in 4 different blocks

2) The 4 cells are connected by 2 strong links (conjugate pair) and 2 weak links on any 2 opposite sides and must lie parallel to each other

3) The links must be in the order of strong - weak - strong

4) One side of the resultant parallelogram must be slanted while the remaining sides are flat (the 2 points of the slant must be on 2 rows or 2 columns)

5) The slanted side is said to be the roof of the skyscraper, while the opposite side of the slant is the floor

6) The higher side of the slant (roof) forms one corner while the lower side of the slant (roof) forms another corner (Note: no link, either strong or weak, between the 2 ends of the roof!)

7) The two ends of the floor form the other other 2 corners

8) There are 2 types of eliminations that can be made: a) on the roof of the skyscraper and b) on the skyscraper walls using X-wing diagonals

9) Eliminations on the roof will be the skyscraper candidates that see both ends of the roof (i.e. the candidates on the same row or column of the roof and also in the same block as the lower end of the roof)

10) The second set of eliminations will be those aligned with the diagonals (X-wings) of the skyscraper candidate, using the X-wing rule!

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Видео Tutorial #75. The skyscraper A detailed look. канала Sudoku Guy