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TapaS (the “S” is for SchrödingerS (that “S” is a typo))

(Published on 5. May 2023, 18:14 by mathpesto)

Rules:

Schrödinger Cells: Place the digits 0–9 once in every row, column, and box. To allow this, an “S-cell” appears once per box, which contains two digits simultaneously.

Lines: Digits along a gray line sum to a multiple of 10. Digits may repeat on a line if allowed by other rules.

Tapa: Shade some cells so that all shaded cells form one orthogonally connected area and no 2x2 region is entirely shaded. Circles cannot be shaded, and each digit in a circle corresponds to a block of consecutive shaded cells in the (up to) eight cells surrounding the circle. An S-cell gives two clues while a regular cell gives one. If a circle contains two clues, the corresponding blocks of shaded cells must be separated by at least one unshaded cell, and blocks can appear in either order. (For example, if a circle contains just a 4, there is exactly one block of four shaded cells while the rest are unshaded. If a circle contains a 2 and 3, there is exactly one block of two shaded cells and one separate block of three shaded cells; these blocks are separated by at least one unshaded cell.) A “0” can be placed in a circle only if it is the circle’s single clue.


Example:


Solve online:

Penpa

SudokuPad

Solution code: Digits in shaded cells in Row 3 (for S-cell, low digit first)


Solved by MicroStudy, Bellsita, prodigis, Gryllulus, jkuo7, tuturitu, RJBlarmo, Azumagao, Allagem, KevinTheMH, Bootenks, cdwg2000, ManicVolcanic, Zzzyxas, widjo, Mr_tn, KNT, rmn, wand, AKernel, Paquet Voleur, ... Jesper, giladooshlon, Vebby, ddx01, OGRussHood, SKORP17, Jaych, Myxo, h5663454, Jodelbanane, TJReds, wildbush7, snr0n, dogfarts, Christounet, Counterfeitly, nottabird, ascension, SPring, StephenR
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Comments

on 28. April 2024, 23:14 by StephenR
Lovely combo, more sudoku-tapa hybrids please!

on 19. June 2023, 17:35 by Christounet
Done it ! Hell of a combination ! Thanks :)

on 2. June 2023, 14:09 by snr0n
Phew! Having very little experience with either Tapa or S-Cells made it easy to overlook options several times along the way, but sticking it out was immensely rewarding. Thanks for an excellent puzzle (with an equally excellent title) :D

on 26. May 2023, 07:16 by TJReds
Idk why but the concept of a "naked double" is hilarious to me. Thanks for this!

on 16. May 2023, 02:43 by Myxo
Awesome puzzle, but it was a mistake to tackle it at 2 AM :D

on 13. May 2023, 09:18 by ddx01
It took me awhile to get my head around this puzzle, but I'm happy I didn't skip it.
S-cells and Tapa combine so well together, and the third layer of the lines tied it all to make a confusing at times, yet very interesting and intriguing solve.
Thank you, mathpesto! ^_^

on 8. May 2023, 03:23 by Paquet Voleur
I was a bit reluctant to try and get into this puzzle because it seemed so hard, but I love puzzles with Schrödinger cells and decided to give it a go, and accept the risk of being sad if I were to fail. So glad I made that decision. What a wonderful puzzle to solve! Thanks!

on 7. May 2023, 18:35 by wand
lovely! some tricky deductions but very smooth after some pondering

on 7. May 2023, 01:31 by Zzzyxas
»Lisa the Vegetarian« is one of my favorite Simpsons episodes.

on 6. May 2023, 23:59 by Bootenks
My head is still spinning to really check for all possible options. It is a mavelous puzzle!

on 5. May 2023, 18:19 by MicroStudy
messes with your head in the best and most creative way possible!!!

Difficulty:4
Rating:95 %
Solved:43 times
Observed:11 times
ID:000DST

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Solution code:

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