## Numbered Regions X-Sums (9x9 Chaos Construction)

(Eingestellt am 24. November 2022, 22:58 Uhr von ONeill)

Rules

Divide the grid into nine orthogonally connected regions, each containing nine cells. Each row, column and region must contain the digits 1 to 9.

Each region has a unique region number, equal to the digit in the top left cell of that region. That is, the cell in the region furthest to the left of the highest row the region occupies.

Clues outside the grid are equal to the sum of the first X cells in that row/column from that direction (where X is first digit from that direction), multiplied by the region number of the region the summands belong to. The first X cells from that direction belong to the same region, and the (X+1)th cell belongs to a different region.

A question mark represents any positive integer.

Cells separated by a white dot are consecutive. Cells separated by a black dot have a ratio of 2:1. Not all dots are given.

The puzzle:

Penpa+: Numbered Regions X-Sums

Answer check is enabled with digits and green edges.

Lösungscode: Row 8 with dashes for region borders. For example 231-4-56-987

Zuletzt geändert am 27. November 2022, 20:55 Uhr

Gelöst von lerroyy, Elliott810, polar, MagnusJosefsson, cdwg2000, henrypijames, jkuo7, Niverio, marcmees, Vebby, Jesper, Mrtn, dori_polic, Franjo, zuzanina, Geocrafter57, AvonD, Godrick, Elliptical, by81996672, meixia, peacherwu2, filuta, cmb, yynb2022, Christounet, Statistica, AnnaTh, KNT, SKORP17, wildbush7, misko, h5663454, Uhu, picoton, Martijn314, ns08, Tom-dz, SXH, Saskia, halakani
Komplette Liste

### Kommentare

am 30. November 2022, 20:10 Uhr von wildbush7
Loved this rule set - thanks for the puzzle!

am 28. November 2022, 22:08 Uhr von KNT
that beginning made me question my sanity for a little bit

awesome CC and not overly difficult at all

am 27. November 2022, 11:27 Uhr von Christounet
Excellent puzzle !
Loved the interplay between the clues. The white dot in r6c6-7 was a very subtle addition !
Thanks !

am 27. November 2022, 09:26 Uhr von cmb
Brilliant puzzle.
Smooth but narrow solution path.

Thank you.

am 26. November 2022, 20:31 Uhr von filuta
fun puzzle, thanks!

am 25. November 2022, 15:22 Uhr von Jesper
Lovely puzzle, flows really well!

am 25. November 2022, 12:47 Uhr von Vebby
Excellent!

am 25. November 2022, 12:23 Uhr von marcmees
very nice. thanks.

am 25. November 2022, 12:12 Uhr von Niverio
Enjoyable!

am 25. November 2022, 11:34 Uhr von cdwg2000
Very nice!

am 25. November 2022, 11:29 Uhr von MagnusJosefsson
Fantastic puzzle with a tight but very clear solution path!

Zuletzt geändert am 25. November 2022, 11:02 Uhr

am 25. November 2022, 09:45 Uhr von Statistica
"unique region number" means all nine region numbers are different?

—- Yes, essentially each number between 1 and 9 is some region’s region number.

am 25. November 2022, 06:43 Uhr von Elliott810
Absolutely brilliant puzzle! Very nice use of the constraints, esp. the region numbers. Take a bow and thanks:)

am 25. November 2022, 00:03 Uhr von ONeill
Clarified rules

Zuletzt geändert am 25. November 2022, 00:03 Uhr

am 24. November 2022, 23:56 Uhr von kjholt
Do the question marks represent single digits or any integer? Also on the link it says every possible clue is given, how is that possible?

--- A question mark represents any positive integer. That rule isn't supposed to be there, I'll remove it now.

am 24. November 2022, 23:03 Uhr von lerroyy
Great puzzle with a smooth solve, thanks!

 Schwierigkeit: Bewertung: 97 % Gelöst: 41 mal Beobachtet: 2 mal ID: 000C4F

Lösungscode: