Logic Masters Deutschland e.V.

Against All Odds(Phil Collins)

(Published on 20. January 2025, 19:16 by Will Power)

'And you comin' back to me is against all odds It's the chance I've got to take...' Phil Collins (1984). Normal Sudoku rules apply. ROTATIONAL SYMMETRY- Numbers 180 degrees apart in the puzzle sum to 10. ODD LINES- Numbers on ORANGE lines are all odd. Also, the average of all numbers on each orange line is an odd number. EVEN LINES- Numbers on BLUE lines are all even. Also, the average of all numbers on each blue line is an even number. The averages of ALL lines are different than one another. KILLER CAGES- Numbers in cages sum to 35.

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Solution code: Column 8.


Solved by metacom, OutOfMyMindBRB, StevenS, SKORP17, muule, Gosciola19, Uhu, ludvigr04, MarthaB, abihummel, rlg, adouglas, Dermerlin, asdfg, bbutrosghali, stafen, Chelo, geronimo92, ole-1995a, Bobson, MontanaPearl, Spider, Montikulum, zhangjinyang, pms_headache, chillid028, m_and_m_toastie, teuthida, KingIsulgard, krzysztof.kiemel, Ahrun, briiisy, Carolin, naggy, Baklin, Prost
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Comments

on 8. February 2025, 19:22 by Baklin
Like others said already, this isn't hard once you see where to start.
I started with that, but thought there where more options than I needed and looked elsewhere. And got stuck. Today I tried again and did the same thing. Untill I read the comment from m_and_m_toastie and your reply.
That put me on the right path in the end. After that first step it is really easy.

Thanks for setting this puzzle.

Last changed on 24. January 2025, 11:26

on 24. January 2025, 11:24 by KingIsulgard
12:10 For me, but the puzzle has 2 solutions.
At the end I was left with R3C8, R3C9, R4C8 and R4C9 unsolved, and you can just switch them around and still have an equally valid solution.

EDIT: NVM, I totally forgot about the rotational symmetry rule. I didn't had to use it after placing the first digit in the center.

Last changed on 24. January 2025, 00:15

on 23. January 2025, 19:40 by m_and_m_toastie
Outstanding puzzle. Like other commenters, I found this pretty difficult until I eventually worked out the averages clue, at which point everything flowed beautifully. Each rule was used wonderfully.

@m_and_m_toastie Thanks so much for commenting. Since so few have completed this in three days, I'm going to make your comment public, so people are encouraged to give it a try. Peace to you. -Will Power

on 22. January 2025, 08:38 by VitP
very hard ... unless you understand and apply the properties of averages, especially how they interact with the sudoku grid, at which point it's almost GAS

Difficulty:2
Rating:90 %
Solved:36 times
Observed:3 times
ID:000LOZ

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