Question: The Panhellenic Games and Hoplitodromos involve what type of sport?

Context paragraphs:
Ancient Olympic Games: The Olympic Games was originally meant as a festival, or celebration of/for Zeus; later, events such as a footrace, a javelin contest, and wrestling matches were added.  The Olympic Games (Ancient Greek: Ὀλύμπια "Olympia" "the Olympics" also Ancient Greek: Ὀλυμπιάς "Olympias" "the Olympiad") were a series of athletic competitions among representatives of city-states and one of the Panhellenic Games of ancient Greece.  They were held in honor of Zeus, and the Greeks gave them a mythological origin.  The first Olympics is traditionally dated to 776 BC.  They continued to be celebrated when Greece came under Roman rule, until the emperor Theodosius I suppressed them in 393 AD as part of the campaign to impose Christianity as the State religion of Rome.  The games were held every four years, or "olympiad", which became a unit of time in historical chronologies.

Pindar's First Olympian Ode: The Greek lyric poet Pindar composed odes to celebrate victories at all four Panhellenic Games.  Of his fourteen Olympian Odes, glorifying victors at the Ancient Olympic Games, the First was positioned at the beginning of the collection by Aristophanes of Byzantium since it included praise for the games as well as of Pelops, who first competed at Elis (the polis or city-state in which the festival was later staged).  It was the most quoted in antiquity and was hailed as the "best of all the odes" by Lucian.  Pindar composed the epinikion in honour of his then patron Hieron I, tyrant of Syracuse, whose horse Pherenikos and its jockey were victorious in the single horse race in 476 BC.

Isthmian Games: Isthmian Games or Isthmia (Ancient Greek: Ἴσθμια) were one of the Panhellenic Games of Ancient Greece, and were named after the Isthmus of Corinth, where they were held.  As with the Nemean Games, the Isthmian Games were held both the year before and the year after the Olympic Games (the second and fourth years of an Olympiad), while the Pythian Games were held in the third year of the Olympiad cycle.

Nemean Games: The Nemean Games (Greek: Νέμεα or Νέμεια) were one of the four Panhellenic Games of Ancient Greece, and were held at Nemea every two years (or every third).

Stadion (running race): Stadion or stade (Ancient Greek: στάδιον ) was an ancient running event, part of the Ancient Olympic Games and the other Panhellenic Games.  It was one of the five major Pentathlon events.  It was the premier event of the "gymnikos agon" (nude competition).  From the years 776 to 724 BC, the stadion was the only event that took place at the Olympic Games.  The victor gave his name to the entire four-year Olympiad, which has allowed scholars to know the names of nearly every ancient Olympic stadion winner.

Agesarchus of Tritaea: Agesarchus (Greek: Αγήσαρχος ) was an ancient Greek athlete from Triteia in Achaea.  He was the son of Haemostratus, and won in the men's boxing competitions at all the Panhellenic Games.  His victories have been dated around the 165th Olympiad in 120 BC.  A statue in his honor was erected at Olympia, the work of the sons of Polycles.

Pythian Games: The Pythian Games (Greek: Πύθια ; also Delphic Games) were one of the four Panhellenic Games of Ancient Greece.  They were held in honour of Apollo every four years at his sanctuary at Delphi.  They were held two years after each Olympic Games, and between each Nemean and Isthmian Games.  The Pythian Games were founded sometime in the 6th century BC, and, unlike the Olympic Games, also featured competitions for art and dance.  The art and dance competitions pre-dated the athletic portion of the games, and were said to have been started by Apollo after he killed Python and set up the oracle at Delphi.  Otherwise, the athletic events were the same as those at the Olympic Games.

Hoplitodromos: The hoplitodromos or hoplitodromia (Greek: Ὁπλιτόδρομος, Ὁπλιτοδρομία , English translation: "race of soldiers") was an ancient foot race, part of the Olympic Games and the other Panhellenic Games.  It was the last foot race to be added to the Olympics, first appearing at the 65th Olympics in 520 BC, and was traditionally the last foot race to be held.

Ancient Olympic pentathlon: The Ancient Olympic pentathlon () was an athletic contest at the Ancient Olympic Games, and other Panhellenic Games of Ancient Greece.  The name derives from Greek, combining the words "pente" (five) and "athlon" (competition).  Five events were contested over one day, starting with the "stadion" (a short foot race) followed by the Javelin throw, Discus throw, Long jump (the order of these three events is still unclear), and ending with wrestling.  While Pentathletes were considered to be inferior to the specialized athletes in a certain event, they were superior in overall development and were some of the most well balanced of all the athletes.  Their training was often part of military service—each of the five events was thought to be useful in battle.

Panhellenic Games: Panhellenic Games is the collective term for four separate sports festivals held in ancient Greece.  The four Games were:

Supporting paragraphs: Hoplitodromos Panhellenic Games
Answer: foot race