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The problem I have is bit vague, so I will try to explain as best as I can.

Suppose we have a base number '$x$' and a set of unique number $'a_1', 'a_2', 'a_3', 'a_4'$ and so on

Now $a_1$ perform some operation on $x$ and results in $y_1$ From $y_1$, I should be able to identify that $a_1$ has performed operations on this number

Now on $y_1, a_2$ performed similar operations and results in $y_2$. From $y_2$, I should be able to infer that either $a_1$ or $a_2$ has performed operations on it and none other numbers had ($a_3, a_4$ etc)

So I am looking for some logic, that can help me create this scenario.

  • 0
    Do you get to pick the numbers $x$, $a_1$, $a_2$, and so on, or are they all given to you and you only get to choose the operation?2012-08-26
  • 0
    What operations are permitted? Assuming you are using $a_1$, can you form all of $a_1+x, a_1-x, x-a_1, x\cdot a_1, x/a_1, a_1/x$? Any others?2012-08-26
  • 0
    I can pick x. a1, a2 etc are provided. We can do some transformation on a1, a2 as well like converting them to complex numbers if needed.2012-08-26
  • 0
    Any operations can be done. division, multiplication, complex, hashcode anything as long as the result again leads to a unique number.2012-08-26

3 Answers 3