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IA creates lots of debates about potential problems such as overtaking humans or destroying jobs. I'm not sure about AI but since 1985 Terminator, I know that two IA ("Intelligence Artificielle) surely creates a problem :

  I A
+ I A
-----
  P B

But can someone explain why ^^ ?

My attempt

Domains

  • $D(A) = D(I) = \{1,..., 9\}$
  • $D(P) = D(B) = \{0,..., 9\}$

Constraints

  • $10(I + I) + (A + A) = 10P + B$

I tried to use what I believe to be backtrack research.

  1. $A= \{I = 1\} \rightarrow$ consistant
  2. $A = \{I = 1, A = 0\} \rightarrow$ consistant
  3. $A = \{I = 1, A = 0, P = 0\} \rightarrow$ inconsistant
  4. $A = \{I = 1, A = 0, P = 1\} \rightarrow$ inconsistant
  5. $A = \{I = 1, A = 0, P = 2\} \rightarrow$ consistant
  6. $A = \{I = 1, A = 0, P = 2, B = 0\} \rightarrow$ inconsistant
  7. $A = \{I = 1, A = 0, P = 2, B = 1\} \rightarrow$ inconsistant
  8. $A = \{I = 1, A = 0, P = 2, B = 2\} \rightarrow$ inconsistant
  9. $A = \{I = 1, A = 0, P = 2, B = 3\} \rightarrow$ inconsistant car $A+A = 0 \neq 3$

    ... until we change the value from A to 2 (because I already equal to 1) so far I don't know the answer.

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closed as too broad by gabbo1092, Kate Gregory, TwoBitOperation, Glorfindel, Rand al'Thor Jun 26 at 15:15

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • 3
    $\begingroup$ are you expecting a unique solution? Seems like there are many possibilities... $\endgroup$ – Kate Gregory Jun 26 at 14:32
  • $\begingroup$ @KateGregory Ideally but it's not a constraint $\endgroup$ – IggyPass Jun 26 at 14:46
  • $\begingroup$ Even with the new constraints, I found 5 answers in no time. $\endgroup$ – Duck Jun 26 at 15:08
  • $\begingroup$ @Duck, the constraints is logically deduced from the equation $\endgroup$ – IggyPass Jun 26 at 16:15
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I'm not at all sure what the question is. Here's some info based on what I think is the question

There are 27 solutions. Among these,
$a,p\in\{1,...,9\},\ b\in\{0,2,4,6,8\},\ i\in\{0,...,4\}$.
Here's some code that generates the possible solutions

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  • $\begingroup$ A good puzzle is, "Alice gives Bob [this equation]. Bob does not know the answer. Alice tells Bob what A is. Bob now knows the answer." $\endgroup$ – RShields Jun 26 at 15:15

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