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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def maybe_pause(self, timeout=None):
 """Called by the service to indicate that it is pausable. If the service calls this method while the state is `Pausing`, the state will transition to `Paused`, and the service will block here until it is marked `Running` or `Terminating`. If the state is not currently `Pausing`, and a timeout is not passed, this method returns immediately. If a timeout is passed, this method blocks up to that number of seconds to wait to transition to `Pausing`. """

    deadline = time.time() + timeout if timeout else None
    with self._lock:
      while self._state != self._PAUSING:
        # If we've been terminated, or the deadline has passed, return.
        timeout = deadline - time.time() if deadline else None
        if self._state == self._TERMINATING or not timeout or timeout <= 0:
          return
        # Otherwise, wait for the state to change.
        self._condition.wait(timeout=timeout)

      # Set Paused, and then wait until we are no longer Paused.
      self._set_state(self._PAUSED, self._PAUSING)
      while self._state == self._PAUSED:
        self._condition.wait()