Rose and Bob Kitts have been flooded three times in the last year. They now say the council needs to take responsibility. They claim flood defences have previously been put in place - but have failed.
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The 24-year-old was unarmed and the incident is not being treated as terror-related.
Some platforms have been taken out of service with disruption expected to continue until the end of the day.
The Met Office has extended its weather warnings for snow and ice to cover vast swathes of the country, including London and the South East.