Create query with multiple answers for each cell - google-sheets

Question

So I have got 3 sheets with 2 predefined ranges as you can see them in the Example:
# RangeA # RangeB # Wanted Result
======== ======== ===============
A | B A A
-------- -------- ---------------
1 | a a a
2 | a b 1
3 | a 2
4 | b 3
5 | b b
6 | b 4
7 | c 5
8 | c 6
9 | c
...
Now I would like to have a Formular to get the wanted result I have been searching quite long time today already, but I wasn't successful. I hope there is anybody who may help me.
I hope the example is clear enough to understand what i want to do.
Thanks in advance for your time.

Answer 1

I solved it in the end with google apps script.
The function I used is pretty simple just two for loops:
/*
* Merge merges two arrays to get one list of wanted values
* #param needle {array} is a list of wanted values
* #param haystack {array} is a list of values and their group
* #return returns a list of merged values in the format group, value,
* value, group ...
**/
function Merge(needle, haystack) {
var result = [];
// Set default values to parameters if parameter is not set.
needle = needle || [[]];
haystack = haystack || [[]];
// Filter the array and remove empty items. # RangeB
needle = needle.filter(function(item){
return item[0];
});
// Filter the second array and remove empty or incomplete items # RangeA
haystack = haystack.filter(function(item){
return item[0] && item[1];
});
// Merge both arrays to get the # Wanted Result
needle.forEach(function(item){
result.push([item[0]]);
haystack.forEach(function(needle){
if(item[0] == needle[1]) {
result.push([needle[0]]);
}
});
});
// Check if the result has a length
if(result.length > 0) {
return result;
}
// else return null to overcome the #error message
return null;
}