Parse this person name:

Ayden Puig (1662-1733, flourished 1687-1702)
user
first_name: Ayden
last_name: Puig
middle_names: []
temporal:
- start: 1662
  end: 1733
  type: life_span
- start: 1687
  end: 1702
  type: flourished
titles: []
extra_info: []
assistant