adding up all the perimeters (10 + 10 + 8 + 8 = 18 + 18 = 36) and then one more square per corner (36 + 4 = 40). there are 12 3s, and there must be 1 square in between each. 40 - (12 * 4) = 40 - 48 = -8
therefore, 8 squares of 3s must escape the edge area
only 8 squares max can escape (each edge "channel") because the middle 3s block them
therefore all possible escapes will occur
also all those extra squares in the corners must be used, because it they're non-3s that doesn't help
it's not that your brain is broken, it's just hard
the way i thought about it was that if any of the 3s don't go inwards, they'll push the 3s on both sides away, and those will push the next ones away along the border, and it keeps going until you make it all the way around and there's a collision
that makes logical sense to me now that i understand it that way, but the math required to understand/prove it as the intended global deduction is highly frustrating to me
i have an irrational hatred for global counting deductions
i absolutely love when a puzzle is built so well that you can tell that there's a certain realization that the creator was guiding you towards. even better if that realization is "oh no something ridiculous is happening"
i do love the satisfying way the middle is flowing now, it's lots of "the threes cannot touch so i can draw walls, now these threes cannot touch so i can draw walls, and now these threes cannot touch...."
@Sciborg I am also tired because I don't know how to explain to my boss that we don't have enough staff to do the amount of expected work in the queue...
i never know what to do in that kind of situation, it's not your fault that your department is understaffed so you shouldn't be punished for saying it.
but you worry that if you're the one who brings it up, you will be punished :(
(Actually it was because bobble asked about not posting terrible images, and I wanted to prove that it doesn't take long to make nice images for free >.>)
No I am not stressed... I don't want to fix everyone's puzzles though -.-; TBH - I would have asked for the chess one to be written in English for normal non-chess players -.-;
there is a lot of logic that is kinda like "there is a little nook that cannot be a 1,2,3... because those are all its neighbors. therefore i can draw Ghost Pieces"
I especially like when there are deductions "This can't be X, so it must extend one more. Oh, but now it touches an X+1, so it can't be X+1 either. Extend one more" and so on and so forth
oh my god, there's an absolutely hilarious bit where i slowly teased out a ghost piece to be 4, 5, 6, 7... and was so confused like "this can't possibly fit" but then realized with growing hilarity that it connected to a nearby 8
i've had YouTube autoplay starting from a computer science video rolling in the background for white noise while i solve this, and the algorithm just randomly threw at me the Tom Scott video where they launch garlic bread into space
i never found him for years until i randomly discovered he was this neat computer science guy in my junior year of college, and i started watching his videos to see if he was any good. i ended up staying awake until the next morning binging them all
some other youtube channel recommendations in the vein of "people get excited about random vaguely-thematic-to-their-channel topics and it's neat": - matt parker, aka stand-up maths (math) - jacob geller (analysing video games as art) - people make games (various types of games) - lowest percent (speedrunning shenanigans)