A salesman visits only five different cities—Pune, Bengaluru, Chandigarh, Bhopal and Lucknow. Every year the salesman visits exactly three cities according to the following restrictions : If the salesman visits Bengaluru, the salesman also visits Pune that year. If the salesman visits Chandigarh one year, the salesman does not visit it the next year. In any year, the salesman visits no more than one of the cities he visited in the previous year.
If the salesman visits Pune, Lucknow and Bhopal in the first year, which of the following combinations must be visited in the eleventh year?
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