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jpoos 
Posted on: Sun Feb 23, 2025 10:41 pm
Posts: 159 Joined: Sun Nov 03, 2013 10:28 pm
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 Difficult 8x8, Thursday 20-02-2025
This one felt like the most difficult calcudoku I've ever done. Even with a lot of guessing, I barely made any progress. I think there were only about 50 solves at the end of day, and it's a non-subscriber only puzzle. How does this rank against other difficult puzzles? 
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pnm 
Posted on: Sun Feb 23, 2025 10:57 pm
Posts: 3498 Joined: Thu May 12, 2011 11:58 pm
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 Re: Difficult 8x8, Thursday 20-02-2025
I'll run some numbers and will let you know..
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paulv66 
Posted on: Mon Feb 24, 2025 8:00 am
Posts: 1026 Location: Ukraine Joined: Tue Mar 01, 2016 10:03 pm
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 Re: Difficult 8x8, Thursday 20-02-2025
I was one of the many people who failed to solve it. I got stuck a number of times and ended up running out of time. Mind you, the fact that I spent around 37 hours door to door flying from Dublin to Auckland didn’t help! ![Scared [scared]](./images/smilies/msp_scared.gif)
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pnm 
Posted on: Mon Feb 24, 2025 1:17 pm
Posts: 3498 Joined: Thu May 12, 2011 11:58 pm
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 Re: Difficult 8x8, Thursday 20-02-2025
I tried it as well and got stuck main reason was probably that I was doing the mod options in my head, must have missed some here and there ![Blink [blink]](./images/smilies/msp_blink.gif)
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billa 
Posted on: Mon Feb 24, 2025 2:26 pm
Posts: 11 Joined: Sat Dec 23, 2023 10:48 pm
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 Re: Difficult 8x8, Thursday 20-02-2025
It is very difficult indeed. My solver has to compare combinations in 6 cages at once to make progress. The issue stems from inherent properties of the low-total mod cages: they have dozens of possible combinations, most of which have different sums and parities. 1mod cages can take on every sum from 3 to 11, plus 13 and 15... this defeats most of the current analytic techniques. I was able to make only minor progress myself, most promising feature of the puzzle to me is that the bottom-left quadrant (and thus the top-right quadrant) has a big block of cells that total 67 - however the remaining 3 cells can have any sum in the set {6-7, 9-18}! Initial candidatesThe most I could deduceIntruding 15+ cage cells add to {4-12}, 2% cage adds to {5, 7, 8, 10, 11, 14}, 3% cage adds to {8-11, 13}, intruding 4% cage cells add to {4, 6, 8}. The range of possible sums in the top-right quadrant align too closely with the range given by the bottom-left quadrant so I do not believe any cage sums can be eliminated in this way. There are just too many sums... Solver output
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eclipsegirl 
Posted on: Mon Feb 24, 2025 7:30 pm
Posts: 752 Joined: Wed Apr 16, 2014 9:20 pm
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 Re: Difficult 8x8, Thursday 20-02-2025
I was sweating that puzzle. It was a challenge.
I had to brute force the thing, failing several times. I had to go back and make sure assumptions were correct, and they were. I just made mistakes at times. I finished it with about 90 mins left in the 24 hr period.
I am in the same dilemma as Paul. When I travel, this days are a challenge to get the dailies done.
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pnm 
Posted on: Mon Feb 24, 2025 8:20 pm
Posts: 3498 Joined: Thu May 12, 2011 11:58 pm
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 Re: Difficult 8x8, Thursday 20-02-2025
Maybe this 8x8 mod puzzle should be dialled down a bit?
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eclipsegirl 
Posted on: Tue Feb 25, 2025 9:14 pm
Posts: 752 Joined: Wed Apr 16, 2014 9:20 pm
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 Re: Difficult 8x8, Thursday 20-02-2025
pnm wrote: Maybe this 8x8 mod puzzle should be dialled down a bit? I would appreciate it. I was not able to do the 12 x 12 on Thursday because I spent so much time on this puzzle.
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pnm 
Posted on: Tue Feb 25, 2025 10:27 pm
Posts: 3498 Joined: Thu May 12, 2011 11:58 pm
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 Re: Difficult 8x8, Thursday 20-02-2025
eclipsegirl wrote: pnm wrote: Maybe this 8x8 mod puzzle should be dialled down a bit? I would appreciate it. I was not able to do the 12 x 12 on Thursday because I spent so much time on this puzzle. Alright, the code has been tweaked, and starting next month this particular puzzle (the difficult 8x8 "mod" puzzle on Thursday) should be more doable ![Namaste [namaste]](./images/smilies/msp_namaste.gif)
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eclipsegirl 
Posted on: Wed Feb 26, 2025 12:05 am
Posts: 752 Joined: Wed Apr 16, 2014 9:20 pm
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 Re: Difficult 8x8, Thursday 20-02-2025
pnm wrote: [ Alright, the code has been tweaked, and starting next month this particular puzzle (the difficult 8x8 "mod" puzzle on Thursday) should be more doable ![Namaste [namaste]](./images/smilies/msp_namaste.gif) Thank you ![Namaste [namaste]](./images/smilies/msp_namaste.gif)
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