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StynuBlizz2018-01-25 23:48:42
Mathematics
StynuBlizz, 2018-01-25 23:48:42

Are there such methods of adding (or other operations) of numbers that allow you to exactly reverse the process of addition?

Is it possible to use some technique to carry out the process of adding numbers, for example 14 + 18 + 103 = 135, so that from 135 you can get back the original numbers used for addition. In general, how can you get the numbers that were used to get the final value from the final value. Interested in any methods
Threat. I don’t know anything about mathematics, but you can offer methods for solving any level of complexity. Thank you)

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Vitaly, 2018-01-26
@StynuBlizz

"The stuffing cannot be turned back" (c) The
simple answer is no, you can't.
A more complicated answer - you can get a list of options, one of which will be correct.
Example: we added positive numbers, we got 4 at the output. So the options are: 1 + 1 + 1 + 1, 1 + 1 + 2, 1 + 3, 2 + 1 + 1, 2 + 2, 3 + 1 - one of These exactly match the original :)
Tricky answer - if you perform not a mathematical operation of addition, but "something similar to addition", then provided that the numbers do not contain zero at the end (it will be a little more difficult with zero) 14+18+103 = 140180103, from the string "140180103" the original numbers are easily "recovered": 13, 18, 103

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pestilent, 2018-02-03
@pestilent

Perhaps you meant something like this ?
For natural numbers, you can use Godel's trick: 2 a 3 b 5 c 7 d ...
I hope the principle is clear.

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