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A British and a French submarine, both of them nuclear-powered and carrying nuclear weapons, collided in the Atlantic Ocean earlier this month, the Sun newspaper reported.
It said the HMS Vanguard and France's Le Triomphant were both damaged in the incident, but there were no reports of damage to the nuclear parts.
The British sub has now been towed to Faslane in Scotland for repair.
Both vessels - between them carrying about 250 sailors - were submerged and on separate missions when they crashed on February 3 or 4. Each is 150m long and 13m in diameter, and can carry up to 48 nuclear warheads.