Web Paint-by-Number Forum
Comments on Puzzle #11684: It's my turn...
By Brian Bellis (mootpoint)

peek at solution       solve puzzle
  quality:   difficulty:   solvability: moderate lookahead?  

Puzzle Description:

to walk the dogs. That's right. Three dachshunds. They are each half a dog high and a dog and a half long.

#1: bugaboo (bugaboo) on Jan 5, 2011 [HINT]

cute dogs
line/color logic for over half
then edge logic on the blue 3 in column 7 (placing 2 of them)
then diagonal logic (guessing) to finish
#2: Brian Bellis (mootpoint) on Jan 5, 2011 [SPOILER]
Is continuity a valid form of logic? An obvious thread of blue would rarely have gaps. Most people never see forearms separated at the elbow in real life. Even an ER doctor may only get one or two in a carreer. So logic suggests that the forarm be contiguous. Another forum topic?
#3: Gator (Gator) on Jan 6, 2011 [HINT]
This would fall under "image logic", i.e. guessing. :)

I'm still working on a way to find a way to finish the blue with guessing.
#4: Billie Patterson (bpat) on Jan 6, 2011 [HINT]
Maybe I guessed and didn't realize it but the blue3 in column 7 can only go one place, and then it's straightforward after that. Unless I missed something?
#5: Gator (Gator) on Jan 6, 2011 [HINT]
Not sure how much of all of this is necessary. I'll let someone else analyze that. OK, here goes:

Once the color/line solving is done, you will be left with only blue to place. I used edge logic on the 3 clue in column 7 to make R8C7-R11C7 dots. More line logic.

Next R9C17 and R12C17 can both be marked as dots. If either one of these are filled in, then it would be impossible to complete the 2 clue in column 16.

Next I looked at the 2 clue in row 13 to see how this would affect row 12. Any place that you place the 2 clue, R12C9-R12C10 will always be dots.

Next I looked at the 2 clue in column 16 to see how column 15 would be affected. If the 2 clue is in R8C16-R9C16, R9C16-R10C16, R11C16-R12C16, or R12C16-R13C16, then either R9C15 or R12C15 will be blue. The only place left to look at is R10C16-R11C16. With that filled in, either R10C15 or R11C15 will be blue. So far every possible case of the 2 clue in column 16, R4C15, R8C15, and R13C15 will always be dots as a result. Now look again at the 2 clue in column 16, but this time focus on how column 17 is affected. No matter where you place the 2 clue, R4C17 will always be a dot.

Next I looked at the 2 clue in row 8. If I place the 2 clue at R8C13-R8C14, this will make row 12 invalid. So R8C14 is a dot.

Next I found a logical constraint with the 3 clues in rows 9 and 12. As there are only 1 and 2 clues left in the columns where the two 3 clues can go AND there is only one clue in each column, then each 3 clue cannot occupy the same column. For example, if part of the 3 clue in row 9 was at R9C14 and part of the 3 clue in row 12 was as R12C14, then column 14 would be invalid as it would take a 4 clue in column 14 to make that possible. But there is only a 2 clue.

So look at the possible places that the 3 clue in row 12 can go, and look how this affects the 3 clue in row 9. What you find in common is that either R9C11 or R12C11 are blue in every case. Since we know one or the other has to be blue, then R4C11, R8C11, R10C11, and R11C11 have to be dots.

I believe this is no more than looking two moves ahead, but it requires A LOT of "looking at every possibility" kind of logic.

So is this one to be considered logically solvable? Opinions?
#6: Teresa K (fasstar) on Jan 6, 2011 [HINT]
I saw the question mark, so I was very careful to only use logic and not rely on visual logic (really just guessing, because it doesn't rule out other possibilities).

I was able to finish everything but the blue on the right. But looking at the clues told me it had to be a diagonal. Which way? It was very easy to follow the diagonal in my head to figure out which way it would have to go in order to fit without contracitions. Yes, it is more than two moves ahead, but its so easy to see mentally without having to mark any squares, that I think it should count as logical.
#7: Teresa K (fasstar) on Jan 6, 2011
If this puzzle is so difficult that most people have to resort to guessing, and it needs lots of logic to solve, then why are people rating it as easy (2)?

Oh - I just checked the information on this puzzle, and there is only one person who has rated it so far. Out of 20 who say they completed it, only one person rated it? Weird.
#8: Gator (Gator) on Jan 6, 2011
Teresa - the world may never know... :)
#9: bugaboo (bugaboo) on Jan 6, 2011
gator i went back and followed your logic and it counts for me as being logical
when solving this the first time i had initially missed what you described in paragraph 8 or else i would have solved this myself without guessing
fantastic find there on the logic
#10: Sarah Andrews (sarah) on Jan 7, 2011 [SPOILER]
really cute. do your lower-rider dogs ever wrap their different colored leashes around something so it looks like a May Pole? They look like they are good at staying in formation, though. In your ratio of dog size, if you take the half of the dog-and-a-half length, and add it to the half-a-dog height, it ends up being a whole dog. Thank goodness for that. Names?
#11: Tom O'Connell (sensei69) on Jan 7, 2011 [SPOILER]
Brain has a point about the elbow... its logical that the ulna is attached to the humeras
#12: Jota (jota) on Jan 7, 2011
I really enjoyed and think is super cute!
#13: Susan Duncan (medic25733) on Jan 7, 2011
Very cute
#14: Linda Martin (ilovethispuzzle123) on Jan 7, 2011
i agree with jota - very fun solve.
#15: Brian Bellis (mootpoint) on Jan 7, 2011 [SPOILER]
Oscar, Coco, and Sedona. Somtimes they will wrap around a pole or tree, but more often around my legs. Our cat Misty comes for walks with us too, but no leash for her.
#16: Trish (tryingmysoul) on Jan 7, 2011
Had to guess, but it wasn't complicated guessing or maybe I was lucky.
#17: Sarah Andrews (sarah) on Jan 8, 2011 [SPOILER]
I saw this dog, trained as a hospital visitor, catch his leash behind his front leg, the owner said "Fix" and the dog picked up his leg so that the leash was in front again. None of my dogs would ever be that smart.
#18: Andrew Schultz (blurglecruncheon) on Jan 17, 2024 [HINT]
Color logic clears out all but the blues in C7-18 R4-13. If there is a blue in C6R8 or below then there is a 3 in C7. Helper gets you to 86%.

The 1 in row 4 is a nuisance. It can go a lot of places potentially. That makes this puzzle harder, but it's interesting.

The 3 in R12 cannot go in C9 or the 2 in R13 is trapped. It can't go in C16 due to 2-way logic.

Note wherever the 2 goes in C13 the 3 must be attached to it and can't go to C10. (If the 2 is in C12-13 then C12R13 is blue.)

If the 3 is at C11-13 then the 2 in C14 will cause a contradiction in C15.

That places a blue dot at C14R12.

Now though C16R7 as a blue dot gives a contradiction. Same for C16R8. We can place R9C10.

Now if R8C12/13 is blue, one-way logic shows the 3 in R132 can't make a 2 in R11 or R13.

Finally a blue in R12C12 means there will be a blue in R11 C12/13/14 or R13 C12/13/14. (C12-14 has 2's but they can't all face the same way or R11/13 would have a 3.) Then C16's 2 can't fit.

Line logic.

I *think* this is moderate lookahead but it's really pushing it so I won't mark it yet.
#19: Kristen Vognild (kristen) on Jan 18, 2024 [HINT]
To me, it looks like straightforward 2-way logic. The blue 3 in column 7 corresponds to the blue 1 1 2 in Rows 4-6, and proceeds logically from there, down to R17 C13.

Goto next topic

You must register and log in to be able to participate in this discussion.