A. B, C, and D are highly talented artists. They are dancers, painters, singers, and writers. It is not yet possible to determine the professional field in which each of them is engaged. Known: (1) One night, A and C attended the singer's first performance. (2) The artist once painted portraits for both B and the writer. (3) The writer is preparing to write a biography of A. and his biography of Ding is a bestseller. (4) A has never seen C. Which of the following options correctly describes everyone's identity? ['A is a singer, B is a writer, C is a painter, and D is a dancer.', 'A is a dancer, B is a singer, C is a writer, and D is a painter.', 'A is a painter, B is a writer, C is a singer, and D is a writer.', 'A is a writer, B is a painter, C is a dancer, and D is a singer.']