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BIG-Bench Extra Hard (BBEH) / Charlotte, Mary, Rachel and Emma work from 9 to 5 their local time on weekdays.…

Problem

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input

Charlotte, Mary, Rachel and Emma work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week.

The schedule for Charlotte's week in their local time is as follows:
Monday: Free only at the following times: from 9:00 to 9:40, from 10:10 to 10:40, from 11:50 to 12:10, from 12:25 to 17:00
Tuesday: Booked at the following times: from 10:00 to 11:10, from 11:55 to 12:20
Wednesday: Free only at the following times: from 9:00 to 9:25, from 10:05 to 10:20, from 10:25 to 11:15, anytime after 11:25
Thursday: Booked at the following times: anytime before 9:05, from 10:35 to 10:40
Friday: Booked at the following times: from 9:05 to 10:30, from 11:30 to 12:45


The schedule for Mary's week in their local time is as follows:
Monday: Free only at the following times: from 9:00 to 9:50, from 10:05 to 11:20, from 11:45 to 12:15, from 13:25 to 14:05, anytime after 15:15
Tuesday: Free only at the following times: from 9:00 to 9:40, from 10:10 to 10:45, from 11:10 to 12:40, from 13:40 to 17:00
Wednesday: Booked at the following times: from 9:50 to 11:15, from 11:20 to 11:40, from 12:25 to 13:40
Thursday: Free only at the following times: from 9:00 to 9:20, from 10:05 to 10:30, from 12:00 to 13:00, from 14:20 to 15:40, anytime after 16:10
Friday: Free only at the following times: anytime before 10:05, from 10:45 to 11:10, from 12:35 to 17:00


The schedule for Rachel's week in their local time is as follows:
Monday: Free only at the following times: from 9:00 to 9:45, from 9:50 to 10:10, from 10:15 to 10:30, from 10:55 to 17:00
Tuesday: Free only at the following times: from 9:00 to 9:45, from 10:00 to 10:15, from 10:55 to 11:25, from 12:35 to 13:15, from 14:35 to 17:00
Wednesday: Booked at the following times: from 10:20 to 10:25, from 10:55 to 12:20
Thursday: Free only at the following times: from 9:00 to 9:30, from 9:40 to 10:15, from 11:10 to 12:00, from 12:20 to 13:40, anytime after 14:45
Friday: Free only at the following times: from 9:00 to 10:30, from 11:15 to 11:40, from 13:10 to 14:30, anytime after 15:50


The schedule for Emma's week in their local time is as follows:
Monday: Booked at the following times: from 9:40 to 11:05, from 12:05 to 13:25, from 14:05 to 14:20, from 15:00 to 16:10
Tuesday: Booked at the following times: from 10:00 to 10:55, from 11:25 to 12:50, from 13:30 to 14:15, from 15:25 to 16:05
Wednesday: Booked at the following times: from 9:55 to 10:45, from 12:10 to 13:30, from 13:55 to 15:10
Thursday: Booked at the following times: anytime before 9:20, from 9:50 to 10:50
Friday: Booked at the following times: from 9:35 to 10:20, from 10:45 to 11:35, from 12:55 to 13:05


Charlotte feels tired late in the day and requires the meeting to end before 4pm
Mary is in a timezone that is one hour ahead of other participants
Rachel prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes long
Emma can clear any meeting of 30 minutes or less from their schedule 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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Source and history

task_id
8750b957-a930-57e7-9c6c-95916a62ee9c
task_key
bbeh~5ftemporal~5fsequence--full--8750b957-a930-57e7-9c6c-95916a62ee9c
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import