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## Question

Mystery Operation IV

We've started exploring nearby stars with ships travelling below the speed of light. One of the missions encouters a mysterios artifact orbiting an uninhabited planet prime for terraformation. An away team discovers that it is some sort of station, although it's purposes are still unknown. The station has a large number of rooms, each having an outside control panel with three displays: blue, red and purple.

A quick discovery is that all displays seem to show a number in some alien numbering system. Two buttons are available on the panel. First button can increase the purple display counter (and this is how the alien numbering system was discovered). Only for certain combinations, pressing the second button (let's call it SEND) floods the room with a burst of some form of exotic radiation. Afterwards everything inside the room disappears. The teleportation hypothesis has been advanced by some scientists and trial and error has found a couple of combinations that send everything in the room to a similar structure on the planet below, which holds similar control panels.

Gaining control of the mechanism would greatly improve the chances of terraformation as we do not possess a similar technology and all trips to the planet and back greatly diminish the ships fuel reserves. Unfortunately, pressing the SEND button rescrambles the blue and red counters, so instead of trial and error, a more scientific method must be established. No guide or manual is available, but it stands to reason that some sort of algorithm or simple operation is behind this.

Can you decipher it?

148 ||| 82 = 130

45 ||| 11 = 36

67 ||| 55 = 16

-------------

64 ||| 151 = ?

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I think I have it...

66 ||| 23 = 57

Leaving it open for everyone else...

Edited by leakysheep
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The team that is still doing trial and error has come up with a new example.

148 ||| 82 = 130

45 ||| 11 = 36

67 ||| 55 = 16

37 ||| 177 = 154

-------------

64 ||| 151 = ?

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95 or 115

Edited by stalingino

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95

Edited by araver

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95 or 115

Or compute this:

66 ||| 23 = ?

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Well, since I got no confirmation, moving on.

Adding another example to the operation, and keeping the second challenge:

148 ||| 82 = 130

45 ||| 11 = 36

67 ||| 55 = 16

37 ||| 177 = 154

64 ||| 151 = 115

57 ||| 39 = 80

-------------

66 ||| 23 = ?

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Not sure anyone else is following this, but adding another example.

148 ||| 82 = 130

45 ||| 11 = 36

67 ||| 55 = 16

37 ||| 177 = 154

64 ||| 151 = 115

57 ||| 39 = 80

16 ||| 36 = 22

-------------

66 ||| 23 = ?

• 0

66 III 23 = 49

• 0

66 III 23 = 49

Sorry, it's not.

• 0

148 ||| 82 = 130

45 ||| 11 = 36

67 ||| 55 = 16

37 ||| 177 = 154

64 ||| 151 = 115

57 ||| 39 = 80

16 ||| 36 = 22

65 ||| 85 = 22

-------------

66 ||| 23 = ?

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83?

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83?

Hi Wilson

No, sorry, that's not the answer.

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148 ||| 82 = 130

45 ||| 11 = 36

67 ||| 55 = 16

37 ||| 177 = 154

64 ||| 151 = 115

57 ||| 39 = 80

16 ||| 36 = 22

65 ||| 85 = 22

10 ||| 16 = 8

------------

66 ||| 23 = ?

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I think I have it...

66 ||| 23 = 57

Leaving it open for everyone else...

Indeed it is.

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leakysheep found the answer for the challenge.

For others that are still pondering this, adding an extra challenge.

148 ||| 82 = 130

45 ||| 11 = 36

67 ||| 55 = 16

37 ||| 177 = 154

64 ||| 151 = 115

57 ||| 39 = 80

16 ||| 36 = 22

65 ||| 85 = 22

10 ||| 16 = 8

------------

66 ||| 23 = ?

206 ||| 171 = ?

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