peek at solution solve puzzle
quality: difficulty: solvability: moderate lookahead
Puzzle Description:
Waiter: "Your plate is hot. In fact it's melting."
#1: Joe (infrapinklizzard) on May 6, 2012
This puzzle is in response to Forum topic 325 ( http://webpbn.com/read.cgi?type=T&id=325 ) where LoloJean asks about edge logic using more than one clue.#2: Joe (infrapinklizzard) on May 6, 2012 [HINT]
Note: THERE IS NO PICTURE - ONLY LOGIC.
I solved a puzzle with this very thing last night. In GAMES magazine, July 2012 issue, the Paint by Numbers puzzle #2 has a situation in the top that can be started this way.#3: bugaboo (bugaboo) on May 6, 2012 [HINT]
The top two rows of this puzzle are the same as that puzzle, but the rest is just gobbledegook to make the situation the same without making a huge puzzle.
To solve:
Normal edge logic (with one clue) gets you nowhere. The 4 in c1 can go in two different places with no way to choose without looking many steps ahead.
The 7 in r10 can go anywhere with normal edge logic.
The 5 in r1 can go anywhere from 8-25 with normal edge logic and the 6 in the same row can go anywhere from c1 to c19 if you only look at the 6.
[Note: deep edge logic (looking beyond the row right next to it) is similarly of no help on this puzzle. The 4 in c1 is not helped at all. The 7 can go in at least two places (ie. c2-8 and c19-25) with many steps before a conflict. And the 5 in r1 can still go anywhere in its original range except c15-19, and c16-20. (The 2 in c18 would break the blocks in r3 into unacceptable blocks for the clues.)]
Look back at my last statement about the normal edge logic. The 6 in r1 can go anywhere across the top row up to c19 *if you only look at the 6*.
However, we must remember that the 5 must still be placed in that row. If you look at the possible placements of the 5 (c8-25) you can see that no matter where the 5 goes, it will extend into the 7 in r2 for its entire length - that is, once you place the 5 in r1, five pixels of the 7 in r2 will be automatically fixed.
Since the 5 in r1 uses most of the 7 in r2, we can now see that the 6 in r1 cannot be placed in most of r1. If it crosses more than one clue in a row that extends into r2 (ie is >1), those pixels would have to be part of the 7 in r2.
In fact, if the 6 were to go anywhere but in c1-6, it would take up too much of the 7 in r2 and the 5 would have nowhere to go.
Thus the 6 in r1 can be placed and the rest is line logic.
Looking at the 6 or the 5 individually gets us nowhere, but remembering the effect of 5 on r2 when looking to place the 6 gets us going.
what about this:#4: David Bouldin (dbouldin) on May 7, 2012 [HINT]
el the 4 clue in c1 to get black in r2-4
ll
2-way logic on either end of that section of 3 black clues to dot a lot of squares: r2c3-5, r3c3-6, r4c3-5, r6c2-5, r7c2-6, r8c2-6, r9c2-6 and r10c2-6 (you only actually need to dot the squares from r6-r10 though)
iel on either the the 9 clue in r8 or the 9 clue in r9 (it doesnt matter which one, as either will work) to dot c7-10
ll to finish
very fun solve
no guessing (of course)
i did it like bugaboo at the start (el, ll, 2way) but my iel was in r5 and r6. there are six 5 clues in c10-15 and since, at most, five of them can go into R11, at least one must be in r10. dots C1-4,21-25R5.#5: Tom O'Connell (sensei69) on May 7, 2012
Can't believe i got it .... cool one Joe#6: Kristen Vognild (kristen) on May 7, 2012
These explanations are far more confusing to me than the 5 seconds of logic I used to start this puzzle. I saw the places where the 1s had to go, and put them there. :)#7: Joe (infrapinklizzard) on May 7, 2012
Like Minesweeper, I use pattern recognition as much as actual logic.
Thanks for the comments!#8: Kristen Vognild (kristen) on May 7, 2012
bug and David - The problem with making a demo puzzle is that there's almost always another way of doing something. Especially when you want to come up with something quickly to show a single point, or are adapting another puzzle to accentuate your point (and in this case avoid copyright infringement). Thus the title and comment 1 to show the intended thrust.
Kristen - That's why I usually make visual tutorials. I find it harder to read these and visualize than I do to solve the puzzles, too. It is much easier to see the placements and ramifications than to read it and try to work it out from text. But those take quite a bit more time, and this was just a single point. And it was bedtime.
Minesweeper was very interesting for me when I was figuring out the logic. Then I learned the patterns that signaled each type of logic. (E.g. 121 means the ones next to the 2 are clear; and if it's on an edge, then the 1s are mines; 1221 has mines next to the 2s, etc) Then pattern recognition turned it into a zen activity. Eventually it was a speed-zen activity.
Well it seems it helped LoloJean, so original mission accomplished!
Exactly! (re: Minesweeper)#9: David Bouldin (dbouldin) on May 7, 2012
...223321... = 5#10: JoDeen Mozena (ozymoe) on May 7, 2012 [SPOILER]
Sigh...the only logical thing I did was decide I had to start SOMEwhere to eliminate SOMEthing...so I put the first four black boxes down in the first column, started solving from there expecting to eliminate R1C1...which never happened because if a person does that the whole puzzle solves with line logic.#11: Web Paint-By-Number Robot (webpbn) on Jul 17, 2012
I HATED this puzzle lol.
Found to be logically solvable by gator.
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