class Particle:
  def __init__(self, x, y, duration, xv = 0, yv = 0):
    self.x = x
    self.y = y
    self.t = duration
    self.xv = xv
    self.yv = yv
  def update(self, time):
    self.x += self.xv * time
    self.y += self.yv * time
    self.t -= duration
    return self.t >= 0

class ParticleGenerator:
  def __init__(self, rate):
    self.particles = []
    self.rate = rate
    self.time_modulus = 0
  def update(self, time):
    # i'd like to check the constant rate logic in this line
    new_particle_count, self.time_modulus = divmod(time +
self.time_modulus, self.rate)

    for idx, particle in self.particles:

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