Logic Masters Deutschland e.V.

Near and far (Kropki pairs/Remote sums/X-sums)

(Published on 26. May 2023, 13:54 by dumediat)

This puzzle was inspired by XeonRisq using the Remote Sums constraint that he created. This puzzle may be closer to 5-stars for difficulty depending on your experience with X-sums puzzles.

Ratings, comments, and feedback are much appreciated! Please feel free to reach out to me on Discord if you have any comments or questions. Please also feel free to try my other puzzles here.

Rules:

  • Normal sudoku rules apply.
  • Kropki pairs: Numbers separated by a white dot are consecutive, and numbers separated by a black dot have a 1:2 ratio. Not all dots are given.
  • X-sums: Clues outside the grid (gray cells) give the sum of the first N digits in their respective row or column, where N is the digit nearest the clue.
  • Remote Sums: A number X in a cage points to a second number Y located X cells away vertically or horizontally. The number in the top left corner of the cage indicates the sum of X+Y; the "?" indicates any positive value. Cages inside the grid may point to cells outside the grid and vice versa.

Penpa+: https://tinyurl.com/2ge57gk4

SudokuPad: https://tinyurl.com/4k23tswr

If solving with SudokuPad, I suggest using corner/center pencil marks to notate the X-sums clues in the gray cells to avoid issues with the conflict checker.

Solution code: Row 7 and Column 7 of the sudoku grid (18 digits, with row 1/column 1 being the first row/column of white cells)

Last changed on on 15. September 2023, 15:50

Solved by Manitary, Myxo, Jesper, XeonRisq, Gryllulus, h5663454, shangchenxi123, marcmees, tuturitu, JayForty, giladooshlon, CrippledLamp, Elliott810, henrypijames, AvonD, halakani, fjam, Bellsita, cdwg2000, Loona, davidxxy, bansalsaab, smckinley, Bankey, shteev, misko, SPring
Full list

Comments

on 27. July 2023, 14:24 by Bankey
Tough but fun! Thanks, @ dumediat :).

on 12. July 2023, 16:05 by glum_hippo
"Love to see an idea get pushed further and further to the edge of what's possible." is a vintage XeonRisq comment.

on 29. May 2023, 09:42 by Loona
First time solving X-sums and remote sums - only took 161 minutes, because I thought 3+8+9 was 19 XD
Beautiful puzzle

on 26. May 2023, 17:39 by dumediat
Changed "digit" to "number" in the rules.

on 26. May 2023, 15:11 by XeonRisq
Difficult but fun puzzle. Nice idea, excellent execution. Love to see an idea get pushed further and further to the edge of what's possible.

Last changed on 26. May 2023, 17:39

on 26. May 2023, 15:01 by Jesper
Really fun puzzle, thanks!
>>dumediat: You're welcome, I'm glad you had fun!

on 26. May 2023, 14:37 by Myxo
Wonderful puzzle!

Difficulty:4
Rating:98 %
Solved:27 times
Observed:2 times
ID:000DZP

Variant combination Online solving tool

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Solution code:

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