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BIG-Bench Hard / Today, William went to the coffee shop. Between what times could they have gone?

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Today, William went to the coffee shop. Between what times could they have gone?
We know that:
William woke up at 7am.
Lisa saw William sitting on a rooftop from 9am to 11am.
Elizabeth saw William buying a bike at the bike shop from 11am to 1pm.
Richard saw William working at the office from 1pm to 6pm.
Andrew saw William waiting at the train station from 6pm to 10pm.
The coffee shop was closed after 10pm.
Between what times could William have gone to the coffee shop?
Options:
(A) 11am to 1pm
(B) 1pm to 6pm
(C) 6pm to 10pm
(D) 7am to 9am

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