I need help creating a function that takes 5 integer inputs and does the following:

If exactly 2 or 3 of the first four inputs are not divisible by the last input I want the output to read “Impossible”

If exactly 1 of the first four inputs (let’s call it Z) is not divisible by the last input, then I want the output to be the smallest integer congruent to the last input modulo Z.

If all the first four integers are divisible by the last integer, I want the output to be the sum the first four digits.

I’m trying to teach myself Mathematica, and need a lot of help...


This should get you started:

f = {i1, i2, i3, i4, n} \[Function] Module[{list, restQ, z, counter},
   list = {i1, i2, i3, i4};
   restQ = Unitize[Mod[list, n]];
   counter = Total[restQ];
    0, Total[list],
    1, z = Pick[list, restQ, 1][[1]]; Mod[n, z],
    2, "Impossible",
    3, "Impossible",
    _, "Don't know what to do since Total[restQ] == " <> IntegerString[counter] <> "."
| improve this answer | |
  • $\begingroup$ Yes this did help, thank you! $\endgroup$ – Kenneth Eaves Feb 17 '18 at 22:26
  • $\begingroup$ Glad to hear that! You're welcome! $\endgroup$ – Henrik Schumacher Feb 18 '18 at 0:58

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