CrocoPuzzle Weihnachtsüberraschung 2012

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kiwijam
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CrocoPuzzle Weihnachtsüberraschung 2012

Post by kiwijam » Mon 31 Dec, 2012 1:10 am

Found this Christmas puzzle at the CrocoPuzzle website, thought it was worth sharing with rules translation.
5 puzzle types are combined into one large puzzle:

http://www.croco-puzzle.com/Weihnachten2012/index.php

Instructions

Write into each field (except the 12 fields with Tapa clues already given) a number from 0 to 9, so that the 0 digit appears exactly twice and all other numbers exactly once in each row and column. Blacken some of the fields and also draw some pills into the puzzle, according to the following rules:

Kropki: If there is a white circle between two cells then the number in one of the cells is one greater than the other cell's number. If there is a black circle between two cells then the number in one cell is twice the number in the other cell. Not all of the possible circles have been drawn!
Gebietssummen: The small numbers in the bold-bordered areas are the sum of all the numbers in these fields. Within a bold-bordered area, numbers are allowed to occur more than once.
Tapa: Blacken some cells such that all black cells are connected, and there are no 2x2 black areas. Fields marked with Tapa clues should not be black. The Tapa clues (given in the grid) specify how many of the eight adjacent fields are black: each clue corresponds to a set of joined black cells, and multiple sets must be separated by one or more white cells.
Thermometer: Fill each thermometer starting from the circular end so that the thermometer edge-clues (see below) indicate how many squares in the corresponding row or column are filled. Cells will be all white (for both Tapa and Thermometer) or all black (for both Tapa and Thermometer). A thermometer can be entirely white.
Pillen: Draw 10 pills in the white cells of the diagram with the values ​​from 1 to 10, so each value occurs only once. The pills are a 3x1 rectangle shape, and lie horizontally or vertically. The sum of the three numbers inside the pill is its value. The pill edge-clues (see below) give the sum of all the numbers in pills in the corresponding row or column.
The edge-clue numbers: Each edge number is a clue for either the Pillen or the Thermometer, but never for both at once!
Tip: Take care of the two zeros per row/column, and also don't accidentally mistake the Tapa clues for the 0-9 numbers!
Last edited by kiwijam on Mon 31 Dec, 2012 10:04 pm, edited 1 time in total.

PuzzleScot
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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by PuzzleScot » Mon 31 Dec, 2012 1:24 pm

Good spot, and thanks for the translation.

I knocked up the puzzle and English instructions into a handy single-page PDF for myself. Attached here for anyone that wants it too.
Attachments
weihnacht2012.pdf
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kiwijam
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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by kiwijam » Wed 02 Jan, 2013 5:12 am

Hmm, after a few steps I keep reaching the same contradiction when I try solving this:
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER:
I can't find anywhere in the 11th row for a "6".
So it's possible I've wrongly translated the rules. Has anyone successfully solved it?

puzzlemad
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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by puzzlemad » Wed 02 Jan, 2013 7:41 am

Is it that you can use some of the numbers from that range, but as the clues from the thermometer/tapa will blacken some of the squares then not all digits will effectively be used?
I am only guessing!

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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by PuzzleScot » Wed 02 Jan, 2013 10:22 am

I'm doing a little bit every now and then - but I'm still some way from completion, so I can't really help.
But I have to say those zeros really mess up the most standard of logic!
Some cells being blackened, part of pills and containing a number doesn't help much either...

[edit: @Liane. No. Every row/col must contain a tapa clue, 2 zeros, and the digits 1-9]

nickdeller
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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by nickdeller » Wed 02 Jan, 2013 9:00 pm

I got a long way in, then hit the same contradiction. I have to say that I'm not at all comfortable that my logic is correct, but I'd also like to hear from a successful solver for reassurance that it's worth continuing.

kiwijam
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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by kiwijam » Wed 02 Jan, 2013 9:29 pm

Aha. 8-)
After much pondering I found the basic assumption that I was getting wrong:
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER:
Normally two adjacent white circles in kropki must be a sequence of three different numbers like 123 or 876. But this is not the only option if a digit can be repeated in a row...
I think highlighters are a big help, to keep track of the numbers in the 'black' cells. I also coloured tapa-clues differently, and pill-white-cells and non-pill-white-cells.
As far as solving, my order of attack is to:
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER:
Start with the Kropki and Gebietssummen and ignore all the Pills/Thermometer/Tapa stuff (except for the 1-clue at the edge of row 3, which helped me get started). Eventually you'll have all 11x11 digits written in. Then you can work out the shading and pills.

PuzzleScot
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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by PuzzleScot » Wed 02 Jan, 2013 10:34 pm

I only have a dozen cells with numbers placed, 2 pills, and around 35 of known shade.
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER:
I was going to mention the 0-0 option around a black kropki clue, but you would never have got started on row 3 without it.
The combinations for low value gebietsummen aren't nearly as obvious as in a regular one. eg, that 4 in th BR ;)
If you have finished it, then hearty congratulations - this is one of the hardest puzzles I've ever attempted!

PuzzleScot
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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by PuzzleScot » Sun 06 Jan, 2013 9:34 pm

Has anyone solved this yet?
I've done it 3 times to the point of contradiction now, so will detail my solve path to that point here shortly...

kiwijam
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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by kiwijam » Sun 06 Jan, 2013 10:31 pm

Yes, I've solved it, happy to help out.

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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by PuzzleScot » Sun 06 Jan, 2013 11:55 pm

Well done James! Perhaps you can cast your eye over the following?
My solve path. Cols A-L. Rows 1-12. A1=Top-Left.
I've removed most (not all) of the deductions that are unnecessary for showing the ultimate contradiction.
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER:
Row 3:
- Kropki clues: centre chain is 1/2/4 or 2/4/8; Left black dot is 0/0 (right black dot cannot be 0/0 due to 11 cage.), right is 3/6 (order unknown).
- 1/2/4 cannot appear in that order, else D3=F3=2, so E3 is even, and D3 is odd -> D4 is even. D4 cannot be 2 (C4 cannot be 10) or 6 (C4 cannot also be a 6), so D4 = 4/8 and C4=8/4 [ie, 4/8 now allocated for row 4]
Looking at Col A:
- rows [3/]4/5 are [0/]1/2
- If the 15 sum cage is 6/9, we're left with 034578. The black dot must be 4/8, which leaves nothing for the white dot. Therefore, the 15 sum is 7/8 (8 in A6, 7 in A7), and B6=4
- This leaves 034569. A1/2 = 3/6 in some order; A8/9 = 4/5 in some order; The 9 must appear in the '24' cage at A10, and the final 0 in A11.
- Note the black dot chain in row 8 must include the 4. Therefore A8=5 and and A9=4.
[- Note the Tapa 4 clue at B9. A8 must be shaded. As it is a non-bulb part of a Thermometer, A9 must be shaded too. That means the col A external clue (1) must be a Pills clue. Since A2 cannot be 0, there must be a Pill from A4-C4.]
Row 11: If C/D are 0/3, there is no way to complete the white dots between cols F/G/H due to the black dot requirements from 2 of that chain. Therefore C/D = 1/2 in some order. F/G/H = 3/4/5 in that order.
F10=6; E10=3; G12=8. [G12 = 2/8. However, black dot chain in Row 12 must include the 2].
J11 must be last 0 for the row. [1-4 already used in row 11]
Row 12:
- black dot chain must be 1/2/4. [J12=2. Order unknown for 1/4].
- C12=6, with B/D12=5/7 (order unknown)

The 4 cage can only now be completed with J10=0 and K10=2.
J4 cannot be 2 (col) or 4 (row), so J3 = 6; I3=3. Also, J2=5, so J4=7.

J1 can only be 1 or 4. (0,2 used in col J. 3 would imply 6 in K1, contradicting A1). So I1 = 1/4. K1=8 [2 used in K10]; I1=1;J1=4.

Col J has 1389 remaining. J6=9; J7=8.
Now J5 can only be 3, which being the centre of a white dot chain, contradicts the 2 in A5!
If anyone can see the fault in my logic, please let me know.

Thanks.

puzzlemad
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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by puzzlemad » Mon 07 Jan, 2013 7:00 am

Hi Alan,
I've managed to finish this.
Just worked through all your logic. You've made the same mistake as James had originally made (well mine after a couple or so attempts initially).
PRIME_BBCODE_SPOILER_SHOW PRIME_BBCODE_SPOILER:
Everythings fine until your last assumption. As James has put in one of his spoilers earlier, when you've got repeated digits in a line then two white circles next to each other don't necessarily mean an increasing/decreasing series.

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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by PuzzleScot » Mon 07 Jan, 2013 10:08 am

Ooh, I bet someone was chuckling to themselves when they wrote that into the puzzle!
Thanks Liane, not sure how I glazed over James' crystal clear hint!

kiwijam
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Re: CrocoPuzzle Weihnachtsüberraschung 2012

Post by kiwijam » Mon 07 Jan, 2013 10:52 am

I wandered over to the German forums to see if there was any help there. Two of them were talking about falling into a 'trap' again and again, before finally figuring it out. So I suspect it's very common.

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