Parse this person name:

Gilles Allain, 1644-1722, flourished 1671-1689
user
first_name: Gilles
last_name: Allain
middle_names: []
temporal:
- start: 1644
  end: 1722
  type: life_span
- start: 1671
  end: 1689
  type: flourished
titles: []
extra_info: []
assistant