heres the map...sorry its so big.
At least if the head of state has a non political role, then at least s/he can act as a check on the powers of the Prime Minister etc.. It would help stop totalitarianism or the kind of thing that happened to cyprus beforehand. THe problem then(1960s) was that the President was the head of government and he could not have anyone who could oppose his political decisions, because he was the highest power...do you see what i mean?