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Fourth of July Puzzle
http://rcbroughton.co.uk/sudoku/forum/viewtopic.php?f=13&t=1567
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Author:  Quadrata [ Thu Jul 02, 2020 3:53 pm ]
Post subject:  Fourth of July Puzzle

Here's something I designed with red, white, and blue stars representing different multiples of five. A red star means the sum of the entries equals 10, white for 5, and blue for 15. Inside each cage, clues are placed between cells whenever possible so lack of a star gives important information as well. (No clues are placed on the major gridlines.)

Image

Solution and a PDF can be found here: https://quadratablog.blogspot.com/2020/ ... uzzle.html

Author:  enxio27 [ Thu Jul 02, 2020 11:05 pm ]
Post subject:  Re: Fourth of July Puzzle

I like the concept! Hopefully this puzzle isn't out of my league with respect to difficulty, but I'll give it a try.

Author:  enxio27 [ Sat Jul 04, 2020 3:49 pm ]
Post subject:  Re: Fourth of July Puzzle

An enjoyable puzzle, but unless I'm missing something, it has multiple solutions (can't figure a way to show the stars from SudokuSolver):


Attachment:
Quadrata Fives Star Sumdoku.png
Quadrata Fives Star Sumdoku.png [ 24.02 KiB | Viewed 7706 times ]

Author:  HATMAN [ Mon Jul 06, 2020 6:29 pm ]
Post subject:  Re: Fourth of July Puzzle

Hi enxio

One of David specialties is if and only if.

Note r4c9 cannot be a 3 as this would require a star to its left.

This negative inference has only been used to lock down the multiple solutions, I would like to see it needed earlier in the solution process.

Maurice

Author:  enxio27 [ Mon Jul 06, 2020 8:00 pm ]
Post subject:  Re: Fourth of July Puzzle

Hmmmm. . . I interpreted that "if and only if" differently. I did not interpret it to mean that two adjacent squares MUST have a star in order for their sum to equal a multiple of 5. If that's the case, then I guess I need to rework the puzzle.

Author:  HATMAN [ Tue Jul 07, 2020 6:38 am ]
Post subject:  Re: Fourth of July Puzzle

As I said in this one it is only needed for the final lock down.

I'll try and make one where it is incorporated in the puzzle.

Author:  enxio27 [ Tue Jul 07, 2020 3:19 pm ]
Post subject:  Re: Fourth of July Puzzle

Ok, then, I have it finished. A fun little puzzle with a great theme, but the added constraint makes it a little exhausting. Definitely not a bedtime puzzle.

Author:  Quadrata [ Thu Jul 16, 2020 5:12 pm ]
Post subject:  Re: Fourth of July Puzzle

Yeah it definitely takes a bit more work when you have to focus on the places where there are no clues, in addition to the ones where there are. Thanks for checking it out!

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