Logic Masters Deutschland e.V.

X-Medians

(Eingestellt am 24. November 2021, 12:50 Uhr von RockyRoer)

The Rules:

  1. Normal sudoku rules apply.
  2. X-Medians: Numbers outside the grid represent the median of the first x digits seen from that side where x is the number in the cell closest to the clue. Recall the median of a sorted list of numbers is:
    • The middle number if the list contains an odd number of digits
    • The average of the two middle numbers if the list contains an even number of cells.
    • Examples:
      • The digits 134 have a median of 3.
      • The digits 2578 have a median of 6.
      • The digits 12356789 have a median of 5.5.
  3. In the full puzzle, one clue marked >1 must have an integer median greater than 1. (In the example puzzle, clues marked ? must contain integer medians.)

Link to example on
f-puzzles:
or CTC App

The puzzle: Link to f-puzzles: or CTC App (better for mobile)

Lösungscode: Column 3 from top to bottom, followed by row 9 from left to right [18 digits]


Gelöst von bigger, henrypijames, mathpesto, kolot, marcmees, Jesper, djorr, polar, MagnusJosefsson, soroush, SSG, Mody, twobear, Vebby, AvonD, karen_birgitta, bansalsaab
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Kommentare

am 24. November 2021, 18:23 Uhr von djorr
Very cool puzzle! Confused myself with averages instead of medians a few times but it worked out in the end. This definitely gets a median rating (for difficulty, of course). Well done!

am 24. November 2021, 16:46 Uhr von mathpesto
Very clever application of medians! This was a lot of fun to solve and I especially liked the ending... which I won't say more about here to avoid spoilers. ;-)

Zuletzt geändert am 24. November 2021, 14:42 Uhr

am 24. November 2021, 14:24 Uhr von henrypijames
Only 2⅔ stars difficulty for me as well.

Reply: with medians, you cant have a 2/3… either integers or 1/2s… :-)

Zuletzt geändert am 24. November 2021, 15:26 Uhr

am 24. November 2021, 13:57 Uhr von bigger
X-median has some interesting tricks. It's a little bit easy for me, or maybe it's like the 5th median I solved. A lot of dejavu tricks.
Anyway, what comes next?

REPLY: Easy isn't a bad thing... especially for a variant rule that's not super popular, so I'm glad you found it approachable! Next for me is Little Killer Medians I think... Thanks for solving!

Bigger:I mean the part I found easy is the >1 part. I was expecting something a lot harder. Turns out, i was overthinking... And If the next would be little killer, then I probably might copy and maybe expand this idea a little bit further.

Reply: the example puzzle has a little more challenging deductions with all the ? Clues if you want— this may be an example where the example is as challenging as the full sized.

Bigger: oh yeah, that 6X6 is a lot harder.

Schwierigkeit:4
Bewertung:95 %
Gelöst:17 mal
Beobachtet:6 mal
ID:0008DE

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