Logic Masters Deutschland e.V.

Squeeze Theorem (S-cell, Sandwich)

(Published on 9. August 2026, 04:25 by SeveNateNine)

Shrodinger Sudoku: Place the digits 0-9 once each in every row, column, and 3x3 box. To allow this, one cell in each row, column, and box, will contain two digits, referred to as an S-cell.

In the finished grid, the set of S-cells will contain each digit from 1-9 exactly twice.

Quantum Sandwiches: Clues outside the grid are the sum of cells between the cell positions which correspond to the digits in the S-cell in that row or column. In other terms, if A, and B, are the digits in the s-cell, then the outside clue sums the digits between (not including) cell positions A and B in that row or column.

Example: Consider the row 4820[17]9635. The outside clue would sum between positions 1 and 7. The digits summed would be 8,2 0 1,7,and 9, making the sandwich clue 27.

Solve on CTC

Solution code: Row 2 followed by row 8 (20 digits). For S-cells, the lower digit always comes first.

Last changed on on 11. August 2026, 23:23

Solved by Crusader175, XeonRisq, lmdemasi, Myxo, Piatato, marcmees, han233ing, JefferyJ
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Comments

on 9. August 2026, 22:07 by marcmees
Outstanding puzzle fun.
Thanks

on 9. August 2026, 17:47 by Piatato
Awesome! Very cleverly put together, thanks!

on 9. August 2026, 15:16 by Myxo
Amazing construction!

on 9. August 2026, 08:09 by XeonRisq
My brain is now mush, but in a good way.. fun puzzle with a rewarding path

on 9. August 2026, 05:05 by Crusader175
Cool idea and awesome construction!

Difficulty:5
Rating:N/A
Solved:8 times
Observed:3 times
ID:000U8W

Enter solution

Solution code:

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