IT-CESENATICO 1994 Problem 3

A journalist wants to report on the island of scoundrels and knights, where all inhabitants are either scoundrels (and they always lie) or knights (and they always tell the truth). The journalist interviews each inhabitant exactly once and gets the following answers: $A_1$ : On this island there is at least one scoundrel, $A_2$ : On this island there are at least two scoundrels, $...$ $A_{n-1}$ : On this island there are at least $n-1$ scoundrels, $A_n$ : On this island everybody is a scoundrel. Can the journalist decide whether there are more scoundrels or more knights?