Starting from the diagonal element, i.e. starting from states at the corresponding adiabatic order, we identify three possible scenarios: i) the overlap is larger than 0.5, ii) smaller than 0.2, or iii) in the range 0.2-0.5. If the overlap is larger than 0.5, the same character is assumed. If the overlap is between 0.5 and 0.9, the corresponding value is assigned as a partial score, if the overlap is larger than 0.9 a value of 1 is assigned.