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An image showing various 4x5 grids being connected by lines into a big map. Some lines lead to diamonds with a number from 1-7, and some of the grids have been redacted and instead shows the letter A-G.

What would be an appropriate song to listen to after solving this puzzle?

EDIT 1 [June 14, 2022]

  • Fixed the two top left grids being coloured incorrectly
  • Fixed one of the 6 missing a connection
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  • $\begingroup$ The operator labelled 6 on the right has 2 inputs whereas the one on the left has at most 1 input. Is this correct? $\endgroup$
    – Daniel S
    Commented Jun 13, 2022 at 18:44
  • $\begingroup$ No, of course not. That has been fixed. $\endgroup$
    – Kusane Hexaku
    Commented Jun 14, 2022 at 11:20
  • $\begingroup$ The row of not equals statements linked together at the bottom is not intended to mean that none of them are equal, right? I.e. 2 cannot equal 1 or 3, but could equal one or more others as long as the entire statement is true, such as 4 and 6. $\endgroup$
    – JLee
    Commented Jun 14, 2022 at 15:51
  • $\begingroup$ @JLee Yes, all 7 diamonds are distinct. $\endgroup$
    – Kusane Hexaku
    Commented Jun 15, 2022 at 9:44
  • $\begingroup$ Please double-check the grid at the bottom under the 7. I think rows 3 and 4 should be all red instead of all white. $\endgroup$
    – JLee
    Commented Jun 15, 2022 at 16:07

3 Answers 3

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Just continuing on from SQLnoob's answer since they're incredibly close,

the images spell out "JSaBLv4" short for Just shapes and beats lvl 4, which is titled LOGIC GATEKEEPER

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Partial answer:

The black diamonds appear to be Boolean operations that act on the grids. We are given that 1 is NOT (which solves F), 6 is NOR, and 7 is XOR. Since C has no arrows pointing into it, 3 must be reversible, and if all 7 diamonds represent distinct operations then 3 must be XNOR.

This allows us to solve D, B, C, and G in one fell swoop, and also show that 5 is NAND.
enter image description here

Here's where everything falls apart:

Look at the top 4 and the 2, and consider the function (x4y)2z. If 2 and 4 are both functions like 1, 3, 5, 6, and 7, then this composition is also a function. However, the third and fifth rows of the second column have identical input triplets (011) and opposite outputs, and broadening our possible scope of functions (for example, allowing 4 to flip its left input vertically and its right output horizontally, which is the only way to introduce flips to 4 so all of this checks out) destroys our ability to do deductions.

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  • $\begingroup$ Yep, I've made a mistake in labeling some of the grids at the top. The image has now been updated. Although, from your image, I can also see discrepensies that is not caused by the incorrect grids as well. $\endgroup$
    – Kusane Hexaku
    Commented Jun 14, 2022 at 11:21
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The seven black diamonds are

logic gates, as follows:

1 = NOT
2 = OR
3 = XOR
4 = AND
5 = NOR
6 = NAND
7 = XNOR

When applied to the images,

treating a white square as 1 and a red square as 0, we get the following for the missing images A-G: 2 which appears to spell out JSoBLv4 (?).

But I don't know what song that is referring to.

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  • $\begingroup$ Strange how only 1 of the 7 logic gates match mine but answer is the exact same except for c $\endgroup$
    – JLee
    Commented Jun 15, 2022 at 17:34
  • $\begingroup$ Interesting, what do you have for C? Because that's the only one that isn't obvious (to me) what it's supposed to represent. $\endgroup$
    – SQLnoob
    Commented Jun 15, 2022 at 17:41

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