View topic - [ivy set] #163

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Forum index » Diversions » Perplex City Puzzle Cards » PXC: Purple Puzzle Cards

[ivy set] #163 - Domino Dilemma
Moderators: AnthraX101, bagsbee, BrianEnigma, cassandra, Giskard, lhall, Mikeyj, myf, poozle, RobMagus, xnbomb

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drizzt
Boot

Joined: 14 Apr 2006
Posts: 37
Location: VA, United States

Solution in Picture format

screendump of my excel solve attached in .zip format so it wont show on this page.

drizzt
12gauge(DOT)brainsurgeon(SPLAT)gmail(DOT)com

DominoDilemma.zip
Description	Attachment is a SOLVE! You've been (SPOILERIZED)	Download
Filename	DominoDilemma.zip
Filesize	32.41KB
Downloaded	417 Time(s)

_________________
Quidquid latine dictum sit, altum viditur.

Posted: Thu May 11, 2006 9:06 pm

Magma
Veteran

Joined: 10 Jan 2006
Posts: 119

The key points to solving this that I found were:

Spoiler (Rollover to View):

No number can be next to the same number. This means you can't have any doubles. You have already removed all blanks and this leaves you with the exact number of dominoes needed for the puzzle.

The 1:6 domino is special. Since all columns must have a high number at the top and a low number at the bottom, the 1:6 must be either upright on its own in a column (Doesn't happen here) or be horizontal at the top of one column and the bottom of another (One location satisfies this condition).

All of the dominoes with a 1 in must have the 1 at the bottom. All those with a 6 in must have it at the top.

_________________
<<OBEY THE CUBE>>

Posted: Fri May 12, 2006 8:03 am

smallhelen
Boot

Joined: 23 Mar 2006
Posts: 14
Location: UK

I enjoyed this puzzle because it was an excuse to cut out little domino cards and play with them until I got the right answer! Very Happy

Posted: Mon May 15, 2006 3:42 pm

justdig
Boot

Joined: 14 Aug 2005
Posts: 29

This took me ****ing forever, but I eventually got it. I'll go through the steps, for anybody interested. (Sorry if it's a little long and difficult to follow)

Spoiler (Rollover to View):

1. As mentioned above, there's only one place that the 6,1 tile can go- the leftmost horizontal tile.

Now, you're left with four tiles with 1s in them, and five places that they can go. You know that one of them is layed so that a 1 is next to the 2 you're given (otherwise there'd have to be a 3 there, which is too high).

You can see that the bottom right block has to be the one without a 3. If it had one, the one to its left would have to have the 1 on the left, meaning that it would have to be a 1,2 tile (anything higher and there would be too many spaces above it). That would force the 1 that's next to the 2 (from previous paragraph) to be part of a 1,3 tile. Then you end up with two places needing a 5,6 tile, so you're stuck.

This means that you know that, not only does the bottom right domino not have a 1, but the square to its left IS a 1.

You now have two dominos that could be 2,3 2,4 or 3,4- the bottom right domino and the domino above the 1 square from the last paragraph. Also, the 2 you were given has to be part of a 2,3 or 2,4. All of this is just because if it were anything higher, you'd have too many places higher.

Now, looking at the two tiles at the top right, you can see that if you put a 6,5 in the top one (the one on the left), the other one would have to have a 4 at its top (couldn't be 6,5 as it'd already be placed, 5,4 because there'd be two 5s next to each other, or 6,4 because that would force the one below it to be 3,2 and then the tile next to THAT (up and to the left) would have to be 4,3 so the 3s would be next to each other...). If it's not 6,5, then the one below it has to be 3,2. This means that the 2 you were already given is on a 4,2 domino, leaving the bottom right one as the 4,3, and therefore the one above that as 6,5.

Now, looking at the 2,1 domino, the square above that has to be a 3 (if it were a 4, the vertical domino above would have to be a 6,5 and that's already been used). 3,2 and 4,3 have already been used. 3,1 and 3,6 would cause numbers to be in the wrong order vertically, so it has to be 3,5. The square above the 5 also has to have a 6.

The column that now reads, from top to bottom, blank-blank-3-2-1 has to have a 6,4 or 5,4 in its top domino. This means that both 6,4 and 5,4 are in one of two places, and so can be ignored. This means that the domino to the left of this one has to be 6,3. This also means that you know the square of the domino below it is a 2, making the domino a 2,5 domino, as there's no other possible position for this. The placement of 6,3 also means that you know that the domino to its left is a 5,4 (as 6,4 would place 6s next to each other).

You can also fill in the top left domino which current you know has a 6. Its other square must be a 2, as that's the only possible position left for a 2,6 tile. Also, the top right domino must be a 6,4, as that's all that's left that's high enough.

This just leaves the 1 dominoes to be completed. The only place that 5,1 can go is on the far left. This just leaves 1,3 and 1,4 which are simple enough, as the 4 is directly above the 3.

Posted: Tue May 23, 2006 4:50 pm

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