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 Post subject: Assassin with a twist
PostPosted: Fri Nov 29, 2019 9:11 pm 
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Joined: Fri Nov 29, 2019 9:02 pm
Posts: 2
Sudoku Cluster is a logic-based number-placement puzzle. It is distinct from but shares some properties and rules with Sudoku and kenken

Rules:
• All classic Sudoku rules apply
• Some cells have numbers written on the top-left corner, Let's call them cluster-heads
• Divide the board into clusters such that
• Each cell belongs to one and only one cluster
• Each cluster has one and only one cluster head
• The summation of the numbers in each cluster must be equal to the number in the cluster head

Cluster Sudoku is like Kenken, with the following differences:
• clusters are not given
• cluster are either horizontal or vertical
• the only operation is add

Here's a solved sample:

Attachment:
ClusterSudoku_sample001_Solution.png
ClusterSudoku_sample001_Solution.png [ 34.58 KiB | Viewed 986 times ]


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PostPosted: Fri Nov 29, 2019 9:13 pm 
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Joined: Fri Nov 29, 2019 9:02 pm
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Here's sample for you to solve, enjoy :)

Attachment:
ClusterSudoku_sample002_Problem.png
ClusterSudoku_sample002_Problem.png [ 10.86 KiB | Viewed 985 times ]


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PostPosted: Sat Nov 30, 2019 6:59 pm 
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Joined: Wed Apr 30, 2008 9:45 pm
Posts: 630
Kousha's Cluster Killers are in the same category as uncaged killers but a different solving process.
I've called the category Boundary (placement) Killers.
I'm working on a Cluster Killer at the moment and will post during the week.


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PostPosted: Fri Apr 24, 2020 2:18 am 
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Grand Master
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Joined: Wed Apr 23, 2008 6:04 pm
Posts: 1718
Location: Lethbridge, Alberta, Canada
This is a fairly easy puzzle; don't be misled by the title, it's not Assassin level.

Just remember that if cluster won't go horizontally then there will be a vertical one through that total, and vice versa. Also be careful not to make assumptions, possibly by continuing to build on an area where you are making progress; first time through I did that but reached the correct solution, so I reworked my solving path avoiding that mental trap.

Solution with the clusters:
Attachment:
Assassin With A Twist.jpg
Assassin With A Twist.jpg [ 60.15 KiB | Viewed 505 times ]


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