Logic Masters Deutschland e.V.

Reversion to the Mean (Regression zur Mitte)

(Published on 20. March 2021, 23:24 by cristophermoore)

Sudoku rules apply. Digits increase along thermometers. In each cage, digits may not repeat, and the average of the digits is 5: that is, the total equals 5 times the number of cells.

My idea was to make the killers as subtle as possible, since the average would be 5 a priori. I hope you enjoy it! Not all the thermometers are strictly necessary, but they make the path smoother.

f-puzzle link as shown here (this link will not enforce the cage totals)

f-puzzle link with cage totals shown

Here is a harder version with the same solution but shorter thermometers. I think this keeps the path closer to my intended logic. I wish I had posted this version in the first place... sorry, I'm a novice setter, and I need to check more carefully for logic bypasses.

Solution code: row 1 followed by row 2 (18 digits total)

Last changed on on 9. May 2021, 00:35

Solved by subtize, Cane_Puzzles, cdwg2000, cfop, morgannamodeaura, PixelPlucker, NikolaZ, tenaliraman, JeffWajes, EliasKar, soroush, abed hawila, apwelho, KyubiBoy, Sewerin, hanzhongbaohe
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Comments

on 9. May 2021, 00:36 by cristophermoore
And thanks to JeffWajes and all the solvers!

on 9. May 2021, 00:35 by cristophermoore
Thanks for solving, EliasKar!

on 2. May 2021, 05:31 by JeffWajes
Very cool. Even after wrapping my head around how many hidden 10s and 15s there were and how they interacted, it still took me a while to break through. I really enjoyed finding the trick.

on 24. March 2021, 17:10 by cristophermoore
Hint: although this puzzle doesn't have a magic square, you may find it useful to keep a magic square handy as a "map" of what triples sum to 15, and how odd and even digits participate in or block these triples.

Difficulty:4
Rating:93 %
Solved:16 times
Observed:10 times
ID:0005QQ

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