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#1: Kristen Vognild (kristen) on Dec 2, 2011 [SPOILER]

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Hint: As I think you have to guess. It's a triangle shape. And you eat it.

I had to guess. The computer said it had a unique solution and I was in a rush so I submitted it. I don't think it is solvable by logic alone. Sorry guys. :(

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made the comment and then went back and immediately found a break-through spot and solved it. lots of edge logic, internal edge logic, and two-way logic. two spots may be bordering on two-move look-ahead, but were easily enough kept in head that i wouldn't consider them guessing. if i need to resolve and track my moves better i can but here are what those two moves felt like:

- combo two-way and edge logic: whichever way you add to this one to make it a two triggers one in the row above ...now bearing in mind that at least one of those will be a black down there, i can edge logic over here.

- combo line-logic and internal edge logic: if this is black then this other one a few spaces away in the same line will be black, but if both are black then the row above is violated with internal edge logic so that first one must be a dot.

I had to guess.

Yea - I usually try the combo two-way logic whenever I am truly stumped. It was hard for this puzzle because I already knew the solution so I just wound up guessing.

Your making me hungry Levi,good job.:)

When it got down to just the toppings, I did a bunch of counting and elimination logic to narrow down the rows and columns with toppings. I may have assumed a few 2x2 squares, but I was able to solve it.

I have 107 unsolved pixels. Maybe someone can help me out. I used LL until stuck then obvious edge. These are my last few moves. 4 clue in r20 has to include c11-12. 5 in c3 cannot go in r8-12. More LL. Middle 1 in r16 is in c8 or c10. I am stuck... I think I am close though.

Haha, you guys are funny.

Levi, your comment #2 should be classified as a spoiler, not a hint.

David, telling us what your moves felt like didn't really help if you didn't give us the coordinates. So I don't think that counts as a hint. But thanks anyway.

Kristen, assuming a few 2x2 squares is guessing, not a hint.

Tom, your hint is a real hint. I'd say thanks, but I got as far as you did and am stuck in the same spot. Arrggghhh.

Jota, I'm with you - have to guess to finish this one.

it was a hint...perhaps not as helpful as some but a hint nonetheless.

not the most straight-forward or efficient, but here is one path:
- LL to start until it gets you to a dot in C15R14
- EL C16, dots C16R17-20
- LL gets you to a dot in C14R16
- EL C15, dots C15R20
- LL gets you to dots in C9R16 and C8R20
- anywhere the 3 in R20 goes it will make the 3 in R18,
so the black in C9R17 is a "1"
- EL C16, dots C15R10-12
- LL blacks C15R8
- EL R17, dots C11-12R17
- Since C4R20 or C5R20 must be black, look at R17,
either way, C4R17 must be black.
- Dot C7R17
- Since C8R17 or C10R17 must be black, look at R15,
either way, C8R15 must be black.
- Dot C8R7-12
- EL C2 to dot C3R14-15
- Since C6R17 or C3R17 must be black, look at R20,
either way, C6R20 will be a dot
- more LL
- Since C8R17 or C10R17 will be black,
dot C5,6,7,11,12,13R16
- Since C7R15 or C9R15 will be black, look at R13,
either way, C9R13 will be dot
- Look at black in C8R15, obviously it's not a"1".
if it's the left-most "2", then it and 2 next to it
trigger at least two blacks in R14, pushing first 1
in R15 to C2. if it's right "2", 1 gets shoved into
same spot so C2R15 is black.
- EL R15 to dot C4,5R15
- LL to finish

dbouldin i had almost everything you had for a while when i got stuck
i was reading over your hints and i was confused about one of them (upon which the rest apparently hinges):
about halfway through your hints, you wrote "EL C2 to dot C3R14-15"
how did you do that?

That WAS a little vague for what I actually did, sorry. I was doing edge logic on the 4 in C2, working my way down, there are only two places that the 4 can settle...C2R13-16 or C2R17-20. either way, C3R14 and C3R15 get dots. For that matter, C3R8 would have to be a dot also.

Found to be logically solvable by gator.

Probably one of the hardest 20x20s out there. Great solve.

that worked
thanks
great solve

- Since C7R15 or C9R15 will be black, look at R13,
either way, C9R13 will be dot

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Nice slice of pizza. Looks yummy. For the left edge of the pizza, I used lookahead all the way down and found that it never contradicted any columns and rows. I suppose that is technically guessing, but you must admit, if it wasn't the correct solution, it probably would not have worked all the way down.

Lookahead is a valid logical step. Note that the solvability is listed as "moderate lookahead".

I just felt that I settled and didn't rule out other options before I went ahead. After all, just because the direction I went in worked as far as I took it, didn't mean that another way wouldn't work. The way I settled for could have led me down a false path after I'd gone quite a ways. Obviously lookahead is valid, but I felt with this particular puzzle at a particular spot, it needed more. Maybe, maybe not. I think I'm at the solving stage of a sophomore, which means "wise fool." I think I know everything that I'm doing, but I've still got things to learn. Neehee. ;D

Sorry, double post.

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