Logic Masters Deutschland e.V.

The Chained Trio (Between x Lockout x Double Arrow)

(Eingestellt am 19. März 2023, 18:23 Uhr von Playmaker6174)

A recall from my 3 Battle With The Archers puzzles in the past that used 3 different types of line: Between Line, Lockout Line, Double Arrow.


In this puzzle, I revisited the concept of ambiguous lines in the past (see this link) and attempted to combine all 3 types of line - Between line, Lockout line, Double arrow - into something that compares the strength of each of them. The puzzle is quite hard but I think the amount of surprising interactions in here will surely worth your experience!

I decided to share this one earlier than planned because I'm currently preparing for the big things in real life in the next 2 weeks, and I surely need to focus more on that instead of puzzling here. Don't be upset, I shall be back in mid-April! :)


Rules:

- Normal Sudoku rules apply: every row, column and 3x3 box contains digits from 1 to 9 each once.

- Each line in the grid has two circles as its endpoints. Each line must obey at least one of the three following properties, which has to be deduced throughout:

+ Between Line: Digit[s] along the line that has two circles as its ends must lie between the digits in the circles, i.e. digit in one circle is greater than all digits along the line, while digit in other circle is smaller than all digits along the line.
+ Lockout Line: Digits in the circles must have difference by at least 4, and also digit[s] along the line must be different than endpoint values and must not lie between them.
+ Double Arrow: Digit[s] along a line that has two circles as its ends must have the same total as the total of two digits in those circles.

For the sake of the entire rule set, digits along a line can repeat if allowed by other rules.

Puzzle: (for f-puzzle link, turning off highlight conflicts is required)

F-puzzle link

Penpa plus (alt. link)

CTC app (alt. link)


Good luck and have fun solving!

Lösungscode: Row 8 (left to right) and column 4 (top to bottom), 18 digits long with no space


Gelöst von Vebby, AvonD, bansalsaab, 85392, Gryllulus, Niverio, Mr.Menace, tuturitu, SKORP17, cdwg2000, Qodec, OGRussHood, tallcat, lerroyy, davidxxy, picoton, abed hawila, polar, zer0keefie, flyjim, Bobbobert, Xendari, PippoForte
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Kommentare

Zuletzt geändert am 30. März 2023, 08:10 Uhr

am 30. März 2023, 04:56 Uhr von picoton
i really like how powerful the given digits are! great puzzle with amazing logic! thank you, playmaker!
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Thank you so much, I'm grateful to hear that! The givens really played a big and important role for the breakthroughs in this one :)

Zuletzt geändert am 30. März 2023, 08:08 Uhr

am 29. März 2023, 15:24 Uhr von lerroyy
Very nice puzzle!
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Thank you very much! :)

Zuletzt geändert am 30. März 2023, 08:08 Uhr

am 27. März 2023, 19:44 Uhr von tallcat
This is quite a construction - and quite a tough nut to crack. Impressive that it does not let up until the very end. Fortunately, there were enough nice moments in the path to offset the difficult steps!
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Thank you so much! It's great to see you realize lots of aha moments in there after a long struggle :)

Zuletzt geändert am 23. März 2023, 13:47 Uhr

am 23. März 2023, 11:23 Uhr von Mr.Menace
Very interesting puzzle, where the ambiguity keeps the solver on their toes until the end!
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Thank you Menace! I'm glad to hear your enjoyment despite the trouble at the end :)

Zuletzt geändert am 22. März 2023, 17:02 Uhr

am 22. März 2023, 09:59 Uhr von Niverio
Very fun ambiguity puzzle!
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Thank you Niv! Great to see you enjoy it from start to finish :)

Zuletzt geändert am 20. März 2023, 08:07 Uhr

am 20. März 2023, 03:38 Uhr von bansalsaab
Beautiful puzzle. There are smart deductions till the end.
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Thank you very much! I'm really happy to hear so :)

Schwierigkeit:5
Bewertung:96 %
Gelöst:23 mal
Beobachtet:2 mal
ID:000DBS

Variantenkombination Online-Solving-Tool Arithmetikrätsel

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