This is a Remembered Length puzzle.
Puzzle 338
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Sorry for the long break. It was very much needed for me though. To make it up, here’s a new type for you to chew on.
Puzzle 338 (Remembered Length)
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Melon's Puzzles
On hiatus; details forthcoming
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July 18, 2011 at 4:33 am |
I’m not sure I “proved” a darn thing, but I managed to solve it intuitively.
July 18, 2011 at 4:36 am |
That’s alright, especially for a puzzle like this one. I think the intuitive approach is going to be a very bad idea on the next one of these (which is already lined up).
July 18, 2011 at 9:48 am |
A lovely little puzzle. I look forward to seeing some more testing examples. Congrats.
July 18, 2011 at 3:59 pm |
I eyeballed it at the very end, but before that I found it crucial to deduce segments’ orientation from the surrounding segments or other edges. Nice one.
July 18, 2011 at 8:28 pm |
I have not tried it yet, just read the rules. The point that is unstated, but I think should be, is that there is a direction to the closed loop, yet there are no arrows indicating direction in your example.
July 18, 2011 at 8:59 pm |
Yes, the lack of arrows is a bit of a limitation on the drawing facilities that I may try to remedy soon. I tried to point the direction issue out with the word “oriented” describing the closed loop in the main description; it’s now emphasized a bit more.
July 19, 2011 at 5:45 am |
Interesting. I’m not sure if you meant it this way, but I solved this one a lot like I would a numberlink–meaning a lot more gut feeling and fewer well-defined progressions of steps. I’d say I used numberlink logic on about half the puzzle.
Oh and welcome back: to blogs and to campus!
July 19, 2011 at 9:52 am |
Nice idea, nice puzzle. I didn’t do a lot of counting to find what connected, mostly what didn’t connect. I think I counted to 1.
July 19, 2011 at 1:59 pm |
Well, for me the main “counting” thing was counting up the squares in the big middle area to verify that absolutely none of the larger regions could re-enter the region.
July 19, 2011 at 2:48 pm
All the cells in the big room? What about summing the given numbers and noticing each number N is in a room of size N? (this was the intent)
July 19, 2011 at 6:31 pm
I think I solved it logically without much summing up, but rather local deductions about where the loop could go.
Looking forward to the next in the series!
July 19, 2011 at 1:05 pm |
Enjoyable new diversion. Took me longer than it should have. Starting to develop the tool kit to solve them. I look forward to the next few.
Thanks.
TheSubro
July 21, 2011 at 5:34 am |
Ah, once I did the summing and realized what needed to happen, it felt more like a proper Monday or Tuesday puzzle. Looking forward to the next one.