The correct answers are:
- Xerxes;
- Darius I;
The Greco-Persian wars were series of battles that lasted for around 50 years in the 5th century BC.
The Persians made multiple attempts of gaining the territory of the Greek city-states, with varying effect and outcomes.
The Persians managed to get hold on some Greek city-states, but didn't managed to keep them under their rule.
In this wars, it is actually the Macedon Kingdom and Thrace (which had nothing to do with the Greek city-states or the Greek people, and were not Greek at all), that were the ones occupied the most by the Persians, not so much the Greek city-states, so the name of the wars can be somewhat misleading, especially because Macedon and Thrace were not willing to fight the Persians at the time, so just let them pas through.