Alexander - for 25 years
Teletes - for 12 years
Automenes - for one year
After which there were annual presidents.
The kings of the Spartans - from the books of Diodorus
It happens that it is difficult to establish the dates between the Trojan war and the first Olympiad, because at that time there were no annual magistrates either at Athens or at any other city. Therefore we will take the kings of the Spartans as an example.
According to Apollodorus of Athens, there were 308 years from the destruction of Troy [1183 B.C.] until the first Olympiad [776 B.C.] . 80 of those years passed before the expedition of the Heracleidae [1103 B.C.] ; [p223] the rest are covered by the reigns of the kings of the Spartans - Procles, Eurysthenes and their descendants. We will set down the order of [the kings of] each family up until the first Olympiad.
Eurysthenes began his reign in the 80th year after the Trojan war, and he was king for 42 years.
After him, Agis reigned for one year.
Echestratus for 31 years.
After him, Labotas reigned for 37 years.
Dorystus for 29 years.
They were followed by Agesilaus, who reigned for 44 years.
Archelaus for 60 years.
Teleclus for 40 years.
Alcamenes for 38 years. In the tenth year of his reign, the first Olympiad was established, in which Coroebus of Elis won the stadion race.
Procles was the first king of the other family, for (?) 49 years.
After him, Prytanis reigned for 49 years.
Eunomius for 45 years.
And then Chariclus reigned for 60 years.
Nicander for 38 years.
Theopompus for 47 years. The first Olympiad occurred in the tenth year of this reign.
In summary, there were 80 years from the capture of Troy until the expedition of the Heracleidae, and then these kings of the Spartans:
Eurysthenes - for 42 years
Agis - for one year