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Another nice user puzzle today.
https://www.calcudoku.org/forum/viewtopic.php?f=16&t=1363		 Page 1 of 2
Author:  mayaknife  [ Sat May 29, 2021 1:13 am ]
Post subject:  Another nice user puzzle today.
Today's user-submitted 8x8 was quite enjoyable. The logic was twisty in a way you don't normally find with the regular puzzles. Good work!
Author:  jamesh9000  [ Sat May 29, 2021 7:18 am ]
Post subject:  Re: Another nice user puzzle today.
Any hints on how to start? I've been looking at it on and off all day and I can't enter a single number [confused]
Author:  sjs34  [ Sat May 29, 2021 7:24 am ]
Post subject:  Re: Another nice user puzzle today.
I agree that this was a truly excellent puzzle. I started in the upper right hand corner and moved left across the top to get things started.
Author:  paulv66  [ Sat May 29, 2021 10:00 am ]
Post subject:  Re: Another nice user puzzle today.
Lovely puzzle with a number of really unusual cages.
Author:  eclipsegirl  [ Sat May 29, 2021 11:30 am ]
Post subject:  Re: Another nice user puzzle today.
For future reference, here is the puzzle.
https://www.calcudoku.org/user/2021-05-29
Author:  starling  [ Sat May 29, 2021 8:18 pm ]
Post subject:  Re: Another nice user puzzle today.
Not sure everyone else went through this path but there was a really cool chain of logic where the 32x and 13+ cage interacted that was a ton of fun to spot.

Was there a cleaner way to resolve the 4096x cage than just to test the wrong option?
Author:  bram  [ Sat May 29, 2021 10:22 pm ]
Post subject:  Re: Another nice user puzzle today.
starling wrote:
Was there a cleaner way to resolve the 4096x cage than just to test the wrong option?
(Spoiler warning: hint) You could look at the 20+ and 24+ cages in the two upper rows as one combined "44+ cage". The wrong option in the 4096x cage doesn't permit a large enough sum in the 44+ cage.
Author:  kenk  [ Sat May 29, 2021 10:50 pm ]
Post subject:  Re: Another nice user puzzle today.
Yes, a very nice puzzel, thanks!
Took some perseverence to finish
Author:  starling  [ Sun May 30, 2021 12:44 am ]
Post subject:  Re: Another nice user puzzle today.
bram wrote:
starling wrote:
Was there a cleaner way to resolve the 4096x cage than just to test the wrong option?
(Spoiler warning: hint) You could look at the 20+ and 24+ cages in the two upper rows as one combined "44+ cage". The wrong option in the 4096x cage doesn't permit a large enough sum in the 44+ cage.


Yeah that was how I eliminated the wrong option as well. I think the rest of the puzzle's logic where you had a binary cage resolved cleanly with pencil marking was the reason I was unsure if I was missing something there.
Author:  mayaknife  [ Sun May 30, 2021 1:42 am ]
Post subject:  Re: Another nice user puzzle today.
jamesh9000 wrote:
Any hints on how to start? I've been looking at it on and off all day and I can't enter a single number [confused]


Start with the 54x in the upper left corner. Its prime factorization is 2x3x3x3. Since there are six squares to be filled that leaves only two possibilities: three 3s, one 2, two 1s; two 3s, one 6, three 1s. In both cases you have three of kind and there's only one way those can be fit into the squares.

The same thing can be done with the 4096x in upper right. Its prime factorization is twelve 2s. The answer contains five squares which gives us three possibilities: four 8s, one 1; three 8s, one 4, one 2; two 8s, three 4s. The first of those is impossible since there's no way to fit four 8s into the answer without conflicts. So again we are left with two possibilities, both of which have three of a kind which can only fit into the squares in one way.

Continue on, factoring the 32x and the 108x and you'll soon have a third of the puzzle filled with a very small number of possibilities which will provide enough constraint to use your more common solving techniques.
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