<Tr> <Th> Budget </Th> <Td> $40 million </Td> </Tr> <Tr> <Th> Box office </Th> <Td> $115 million </Td> </Tr> <P> The Lake House is a 2006 American romantic drama directed by Alejandro Agresti and starring Keanu Reeves, Sandra Bullock and Christopher Plummer . It was written by David Auburn . The film is a remake of the South Korean motion picture Il Mare (2000). The story centers on an architect living in 2004 and a doctor living in 2006 . The two meet via letters left in a mailbox at the lake house they have both lived in at separate points in time; they carry on correspondence over two years, remaining separated by their original difference of two years . </P> <P> This film reunites Reeves and Bullock for the first time since they co-starred in Speed in 1994 . </P>

What is the plot of the lake house
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