7.2. In the parliament of the island state of Promenade-and-Tornado, only the indigenous inhabitants of the island can be elected, who are divided into knights and liars: knights always tell the truth, liars always lie. In the last convocation, 2020 deputies were elected to the parliament. At the first plenary session of the parliament, 1011 deputies stated: "If you don't count me, then among the other deputies - liars are more than half." How many liars are there in the parliament of this country?
Solution. Note that the statement was made by more than half of the deputies. If all those who made the statement are knights, then their statements turn out to be false; if all those who made the statement are liars, then their statements turn out to be true - both are impossible. Therefore, among those who made the statement, there was at least one knight and at least one liar. The knight who spoke told the truth, so there are no fewer than 1010 liars in the parliament; the liar who spoke told a lie, so among the rest, except for him, there are no more than 1009 liars, and with him - no more than 1010. Thus, there are no more than 1010 and no fewer than 1010 liars in the parliament, i.e., exactly 1010.

Answer: There are 1010 liars in the parliament.