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Six contestants have each submitted a 3x5-square black and white design in the Key Foundation's 1st Annual Online Quilt Pattern Design Contest.

Below is the submissions list from their web page.

enter image description here Key Foundation

Quilt Pattern Design Contest Submissions

Dan Dan N.
R.O. Ron
Ron X. Rox

Text translation for those who cannot view images:

***  
*_*  
_*_  
_**  
_*_ 

Key Foundation
Quilt Pattern Design Contest Submissions

Dan:

*_*  
*_*  
_*_  
__*  
___ 

Dan N.:

___  
**_  
*_*  
**_  
*_* 

R.O.:

***  
*_*  
_*_  
***  
*** 

Ron:

___  
___  
*_*  
*__  
___ 

Ron X.:

***  
**_  
_*_  
*_*  
_*_ 

Rox:

___  
__*  
*_*  
**_  
*_* 

[End text translation]


How did each of these contestants place? (1st to 6th)

The accepted answer will explain all logical steps. Diagrams are preferred.

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0

1 Answer 1

11
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Placements:

1. Ron
2. R.O.
3. Dan N.
4. Dan
5. Ron X
6. Rox

Entry:

Every name is an anagram of a logic gate:
AND (Dan)
NAND (Dan N)
OR (R.O.)
NOR (Ron)
XOR (Rox)
XNOR (Ron x)

So

Given the base key grid, figure out which 3x5 pattern could result in the contestant's entry when applying the corresponding logic gate. The easiest are XOR and XNOR because they are reversible.

enter image description here

For the rest

Think about which cells have to be black and which have to be white (marked orange), and fill in the rest (marked gray) to make a valid digit.

enter image description here

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  • 1
    $\begingroup$ (Great answer!) Curious what software you used to design the quilts. Did you code it? $\endgroup$
    – user80184
    Jul 22, 2022 at 13:13
  • 3
    $\begingroup$ @BeKind Excel :) $\endgroup$ Jul 22, 2022 at 13:27
  • 1
    $\begingroup$ Ah, didn't even think of that! $\endgroup$
    – user80184
    Jul 22, 2022 at 13:56

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