When working with dates, you often need to quickly tell which century a year belongs to, whether for history, schedules, or clean reports. Write a function century that takes year and returns the century number. Remember the rule: years 1 through 100 are the 1st century, 101 through 200 are the 2nd, and 1900 still belongs to the 19th century.

def century(year: int) -> int: