so here is my quick method for the password:
1)Find what 5 symbols there are.Just pick five of the same symbols and if it is one of the you will get 1gold/yellow number. Then do the same thing for the next symbol till you get all five. There may be a symbol that is used twice.
2)Sort them then take Symbol one and symbol 2 that are part of the puzzle. Put symbol 1 in the first slot and symbol 2 in the rest. you will get 2 yellow and at least 1 green, unless symbol 1 actually goes in the first slot. then you will have a 2 2. if it is a 2 1, then put symbol 2 in the first, symbol 1 in the second and symbol 2 in the rest, continue to move symbol 1 down until you get a 2 2. Rember where symbol 1 was when you got that.
3)do the same thing with symbol 2 and the rest symbol 1 until you get a 2 2, remember where symbol 2 was.
4) Now you have 2 slots figured out and only 3 slots left with only 3 other symbols it will only take you a maximum of 9 tries to figure that out.
If one of the symbols is used twice do not use it as one of the first 2 symbols as there will be actually fewer options when you get to 4)