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BIG-Bench Extra Hard (BBEH) / Eve, Alice, Mary and Olivia work from 9 to 5 their local time on weekdays. They…
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Eve, Alice, Mary and Olivia work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week. The schedule for Eve's week in their local time is as follows: Monday: Free only at the following times: anytime before 9:20, from 9:30 to 10:10, from 11:35 to 11:45, from 12:25 to 13:20, anytime after 14:25 Tuesday: Booked at the following times: from 10:00 to 10:45, from 11:45 to 12:35 Wednesday: Free only at the following times: from 10:05 to 10:10, from 10:30 to 10:55, anytime after 12:10 Thursday: Booked at the following times: from 9:40 to 9:55, from 10:05 to 11:10 Friday: Booked at the following times: from 10:05 to 10:25, from 11:25 to 11:30, from 12:35 to 12:45 The schedule for Alice's week in their local time is as follows: Monday: Booked at the following times: from 9:55 to 11:20, from 11:45 to 13:05, from 13:10 to 14:25 Tuesday: Free only at the following times: from 10:05 to 11:00, from 11:10 to 12:35, anytime after 13:05 Wednesday: Free only at the following times: anytime before 9:20, from 10:20 to 11:20, from 11:35 to 11:40, from 12:25 to 17:00 Thursday: Free only at the following times: anytime before 10:10, from 10:55 to 11:35, from 11:55 to 13:05, from 14:25 to 17:00 Friday: Booked at the following times: from 9:30 to 10:35, from 11:35 to 12:50, from 13:15 to 13:50, from 14:55 to 16:10 The schedule for Mary's week in their local time is as follows: Monday: Free only at the following times: from 9:00 to 9:35, from 10:40 to 11:40, from 12:35 to 13:20, from 13:25 to 17:00 Tuesday: Booked at the following times: from 9:20 to 9:55, from 10:10 to 10:25, from 11:25 to 11:55, from 11:55 to 12:20 Wednesday: Free only at the following times: from 9:00 to 9:20, from 10:25 to 11:55, from 12:30 to 13:45, anytime after 14:05 Thursday: Free only at the following times: from 9:00 to 10:05, from 10:10 to 11:10, anytime after 12:00 Friday: Booked at the following times: from 9:35 to 10:00, from 11:15 to 12:30, from 12:35 to 13:35 The schedule for Olivia's week in their local time is as follows: Monday: Free only at the following times: from 9:00 to 10:25, from 10:45 to 11:20, from 11:45 to 17:00 Tuesday: Booked at the following times: from 10:05 to 11:20, from 12:10 to 12:15, from 13:10 to 13:15 Wednesday: Booked at the following times: from 9:45 to 9:55, from 11:10 to 11:30 Thursday: Free only at the following times: from 9:00 to 10:10, from 11:30 to 13:00, from 14:00 to 14:10, from 14:25 to 15:15, from 16:10 to 17:00 Friday: Free only at the following times: anytime before 10:15, from 11:30 to 13:00, from 13:10 to 17:00 Eve is flexible to miss (at most) 10 minutes of the meeting Alice asks the meeting to be scheduled such that she has at least 10 minutes of free time after the meeting (the free time must fall within her 9am to 5pm) Mary is in a timezone that is one hour ahead of other participants Olivia is fine to stay until 6pm to accommodate the meeting Let X be the length of the longest meeting (in minutes) that can be scheduled if the meeting has to start on the hour or half hour. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.
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