Simple puzzle from an app

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gmoff01
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Joined: Wed Feb 04, 2015 8:15 pm UTC

Simple puzzle from an app

Postby gmoff01 » Wed Feb 04, 2015 8:27 pm UTC

This is a puzzle from Cryptex Challenge, a game on android. I know what the answer is, but I have no idea WHY. I'm guessing you folks should be able to point it out pretty easily.

Its a 5x5 grid, blank space in the center. Grid is as follows:

5 | 4 | 1 | 2 | 5
2 | 4 | 6 | 6 | 2
6 | 3 | ? | 1 | 6
5 | 1 | 9 | 3 | 5
6 | 3 | 2 | 1 | 6

What I've been able to determine:

Spoiler:
I've noticed that if you treat rows 1, 3, & 5 as one group, and rows 2 & 4 as another, the first first two and last two numbers of each row add up to the same totals respective to their group, i.e. (5+4)|(2+5) = (6+3)|(1+6). The same works with the columns. For the rows the difference between these totals is always 2, and for the columns always 4. I'm not sure what if anything to do with this information


The actual answer:

Spoiler:
2

HonoreDB
Posts: 161
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Re: Simple puzzle from an app

Postby HonoreDB » Thu Feb 05, 2015 8:29 pm UTC

Spoiler:
All 2x2 subgrids add up to 15. Putting 2 in the center preserves that.

gmoff01
Posts: 3
Joined: Wed Feb 04, 2015 8:15 pm UTC

Re: Simple puzzle from an app

Postby gmoff01 » Thu Feb 05, 2015 8:44 pm UTC

Ah, thats beautiful! Thank you, I'd started down that road, but didnt go granular enough.

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Yablo
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Re: Simple puzzle from an app

Postby Yablo » Fri Feb 06, 2015 6:02 pm UTC

Apparently I was right, but I didn't put much thought into my guess before making it. What I noticed was:
Spoiler:
For each column, the number in row three was the same as the number in row five; 6-6 , 3-3 , ?-2 , 1-1 , 6-6. That was the pattern I saw, so it was the one that I decided mattered.
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Adacore
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Re: Simple puzzle from an app

Postby Adacore » Mon Feb 09, 2015 1:07 am UTC

Yablo wrote:Apparently I was right, but I didn't put much thought into my guess before making it. What I noticed was:
Spoiler:
For each column, the number in row three was the same as the number in row five; 6-6 , 3-3 , ?-2 , 1-1 , 6-6. That was the pattern I saw, so it was the one that I decided mattered.

Spoiler:
The fact that this method works feels like a weakness in the puzzle design. If the bottom row was, for example, 7-2-3-0-7, it wouldn't be possible to take this shortcut.


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