Logic Masters Deutschland e.V.

Step-Up Sudoku

(Published on 4. March 2023, 19:19 by Timwi)

Play this puzzle on Zinga!

  • Normal Sudoku rules apply: enter the digits 1–9 in each row, column and 3×3 box.

  • Each row has a skyscraper sum, which is the sum of the digits ‘visible’ from the left — digits represent the height of skyscrapers and taller skyscrapers obstruct the view of smaller ones behind them (to the right). For example, the row 1 6 3 5 7 9 2 8 4 would have the skyscraper sum of 1+6+7+9 = 23.

  • Each column has an X-sum, which is the sum of the first X digits, where X is the first digit (X is itself included in that sum). For example, the column 5 7 2 9 4 8 1 3 6 would have the X-sum 5+7+2+9+4 = 27.

  • The skyscraper sums (of the rows) and the X-sums (of the columns) must progress in strictly ascending or descending order. Furthermore, neighboring values cannot be consecutive (e.g., a 12 next to a 13 is not allowed).

  • Where a “forbidden sandwich” clue is provided, the sandwich sum in that row/column MUST NOT equal that clue. The sandwich sum is the sum of the digits sandwiched between the 1 and the 9 (not inclusive). For example, the row 6 3 1 2 7 5 9 8 4 would have the sandwich sum of 2+7+5 = 14.

Solution code: Columns 2 and 3.

Last changed on on 18. March 2023, 17:08

Solved by JamesH, Goofy, Myxo, ClashCode, fjam, chameleon, halakani, QuinnWuest, giladooshlon, Procyon, StefanSch, the_cogito, GhostSalt
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Comments

on 18. March 2023, 17:08 by Timwi
Rule clarification (skyscrapers are seen from the left).

Last changed on 18. March 2023, 17:01

on 9. March 2023, 20:32 by peacherwu2
Just to clarify, can the skyscraper sum and the X-sum go either way? For example, can the skyscraper sum go right-to-left?

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No, the skyscaper sums are as viewed from the left. Hence the bracket on the left. Thanks for pointing that out, I will clarify in the rules.

on 7. March 2023, 15:14 by giladooshlon
Very cool idea!

on 6. March 2023, 22:12 by Timwi
Typo fix

on 5. March 2023, 02:01 by Myxo
Nice puzzle, enjoyed it!

on 4. March 2023, 21:48 by JamesH
I test solved this puzzle before publication. I think it is pretty cool. :)

on 4. March 2023, 21:46 by Timwi
Tags angepasst.

on 4. March 2023, 19:25 by Timwi
Changed Zinga link to one with updated rules phrasing

on 4. March 2023, 19:21 by Timwi
Added missing Zinga link.

Difficulty:5
Rating:88 %
Solved:13 times
Observed:6 times
ID:000D60

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