Identify if the sequence of visits to an area id was interrupted at any point

I have a PostgreSQL table df with the following information: |area_id|trip_nr |timestamp| |-------|-----|----------------------| |a |3 |29/06/2022 17:18:03| |a |2 |29/06/2022 17:18:02| |a |1 |29/06/2022 17:18:01| |b |1 |28/06/2022 19:21:03| |c |3 |28/06/2022 19:21:02| |e |3 |28/06/2022 19:21:01| |e |2 |27/06/2022 17:36:03| |c |2 |27/06/2022 17:36:02| |c |1 |27/06/2022 17:36:01| |e |1 |27/06/2022 16:55:03| I would like to add a column continuous that checks if the trip_nr to a particular area_id follows chronologically from the first visit based on the order of timestamp. In other words, continuous=True if an area_id is visited for the nth time and the previous visits were to the same area_id all the way from n, n-1,...,1. And, continuous=False if an area_id is visited for the n’th time, but a different area_id was visited somewhere in between the visits n, n-1,...,1 (i.e. the sequence of trip_nr’s is broken at some point). An example of the desired output: |area_id|trip_nr |timestamp|continous| |-------|-----|----------------------|-----| |a |3 |29/06/2022 17:18:03| True| |a |2 |29/06/2022 17:18:02| True| |a |1 |29/06/2022 17:18:01| True| |b |1 |28/06/2022 19:21:03|True | |c |3 |28/06/2022 19:21:02| False| |e |3 |28/06/2022 19:21:01| False| |e |2 |27/06/2022 17:36:03| False| |c |2 |27/06/2022 17:36:02| True| |c |1 |27/06/2022 17:36:01|True | |e |1 |27/06/2022 16:55:03| True| How can I achieve this optimally? Clickhouse/SQL answers also welcome. Note that the timestamp is not necessarily stored in order.