Heightmazes

Notes on possible new logic puzzles

Re: Heightmazes

Postby Smythe Dakota » Mon May 19, 2014 3:32 am

ixsetf wrote:Maybe I am confused about the rules, but for squares like r1c5 wouldn't there be multiple valid answers? Neither a 1 or a 2 would produce an immediate contradiction, and since it is not connected to the rest of the grid its value has no effect on the height values on the rest of the puzzle. I am unclear how you would go about making a determination about which value is correct.

Depends on what's in r2c5. If, for example, r2c5 is a 3, then in r1c5, 1 would be legal, and 2 would not.

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Re: Heightmazes

Postby ixsetf » Mon May 19, 2014 5:00 am

Smythe Dakota wrote:Depends on what's in r2c5. If, for example, r2c5 is a 3, then in r1c5, 1 would be legal, and 2 would not.

Bill Smythe


I was under the impression that the "wall" between them meant that the value of r2c5 wasn't a factor? Am I incorrect in that assumption?
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Postby Pat » Tue May 20, 2014 6:39 am

ixsetf wrote:r1c5---is not connected to the rest of the grid,
its value has no effect on the height values on the rest of the puzzle

it is connected

    numbers in r12c5
    must justify the given wall between those cells
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Re:

Postby ixsetf » Tue May 20, 2014 10:29 am

Pat wrote:
ixsetf wrote:r1c5---is not connected to the rest of the grid,
its value has no effect on the height values on the rest of the puzzle

it is connected

    numbers in r12c5
    must justify the given wall between those cells


Ah, I knew there must have been something I was missing, I just couldn't figure out what.

That definitely limits the possibility for multiple solutions, and increases the amount of logic involved quite a bit.
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Re: Heightmazes

Postby gordonisnz » Fri Nov 11, 2016 8:50 am

evert wrote:Another 10x10 puzzle:

Image




This seems a good puzzle,but with your image (i'm not good at quoting images)

- start box top left is 7,7 and Bottom-right is 14 (space) 13, 10

i can see MULTIPLE answers for this puzzle.

the top line - (example) can be

2, 1, 1, 4, 2, 2, 1

2, 2, 1, 4, 2, 2, 2

2, 2, 1, 4, 2, 2, 3

2, 2, 1, 4, 2, 3, 2

2, 2, 1, 4, 2, 3, 3

2, 2, 1, 4, 2, 3, 4 etc..... all these numbers can appear in the top-right line of your solution, & be valid answers....
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Re: Heightmazes

Postby m_b_metcalf » Fri Nov 11, 2016 5:12 pm

gordonisnz wrote:i can see MULTIPLE answers for this puzzle.

the top line - (example) can be

2, 1, 1, 4, 2, 2, 1
2, 2, 1, 4, 2, 2, 2
2, 2, 1, 4, 2, 2, 3
2, 2, 1, 4, 2, 3, 2
2, 2, 1, 4, 2, 3, 3
2, 2, 1, 4, 2, 3, 4 etc..... all these numbers can appear in the top-right line of your solution, & be valid answers....


The (whole) top line can only be

7, 7, 6, 2, 1, 1, 4, 2, 4, 5

Note that the last cell cannot be 2, 3, or 4, because it must differ from the cell below by at least 2. Similarly, between cell 8 and cell 9, there must be a difference of at least 2.

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Re: Heightmazes

Postby gordonisnz » Sat Nov 12, 2016 12:19 am

m_b_metcalf wrote:
gordonisnz wrote:The (whole) top line can only be

7, 7, 6, 2, 1, 1, 4, 2, 4, 5

Note that the last cell cannot be 2, 3, or 4, because it must differ from the cell below by at least 2. Similarly, between cell 8 and cell 9, there must be a difference of at least 2.

Regards,

Mike Metcalf


i must re-read the instructions. from what i understood, any adjacent cell/box must be the same value or +/- 1 - I didnt pick up on a "difference of 2",or see that in any of the examples/pictures provided.
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Re: Heightmazes

Postby m_b_metcalf » Sat Nov 12, 2016 8:36 am

gordonisnz wrote:i must re-read the instructions. from what i understood, any adjacent cell/box must be the same value or +/- 1 - I didnt pick up on a "difference of 2",or see that in any of the examples/pictures provided.

If there's a wall between two cells then it cannot be jumped over and so the difference between them cannot be 0 or 1.

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Re: Heightmazes

Postby gordonisnz » Sat Nov 12, 2016 9:13 am

m_b_metcalf wrote:
gordonisnz wrote:i must re-read the instructions. from what i understood, any adjacent cell/box must be the same value or +/- 1 - I didnt pick up on a "difference of 2",or see that in any of the examples/pictures provided.

If there's a wall between two cells then it cannot be jumped over and so the difference between them cannot be 0 or 1.



what about cells with NO wall between them ?
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Re: Heightmazes

Postby m_b_metcalf » Sat Nov 12, 2016 9:24 am

gordonisnz wrote:what about cells with NO wall between them ?

" must be the same value or +/- 1"
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Re: Heightmazes

Postby gordonisnz » Sat Nov 12, 2016 10:04 am

m_b_metcalf wrote:
gordonisnz wrote:what about cells with NO wall between them ?

" must be the same value or +/- 1"



So - the top-right corner has 3, 3,3 - the blank squares above them can have multiple values that are correct... - no single solution..

No worry - just advising.....
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Re: Heightmazes

Postby m_b_metcalf » Sat Nov 12, 2016 10:26 am

gordonisnz wrote:So - the top-right corner has 3, 3,3 - the blank squares above them can have multiple values that are correct... - no single solution..

No worry - just advising.....


The eighth cell in the top row is constrained by the cell below to be 2, 3, or 4. Of these three values, only 2 fulfils the constraint arising from the 4 in cell seven.

HTH

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