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

Problem

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input

Charlotte, Alice, Eve and Karen 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 9:40 to 9:40, from 10:35 to 11:05, from 12:35 to 17:00
Tuesday: Booked at the following times: from 9:05 to 9:10, from 9:10 to 9:45, from 9:45 to 9:50
Wednesday: Booked at the following times: from 10:15 to 11:35, from 11:50 to 12:05, from 13:00 to 14:25, from 14:40 to 15:55
Thursday: Booked at the following times: from 9:20 to 9:35, from 9:40 to 9:50
Friday: Booked at the following times: from 10:30 to 11:40, from 12:25 to 13:00


The schedule for Alice's week in their local time is as follows:
Monday: Free only at the following times: anytime before 10:10, from 11:15 to 11:50, from 12:40 to 12:45, from 14:05 to 15:35, from 15:40 to 17:00
Tuesday: Booked at the following times: from 10:10 to 10:15, from 11:45 to 13:00, from 13:15 to 13:50, from 14:20 to 15:40
Wednesday: Free only at the following times: from 9:45 to 10:50, from 12:15 to 13:30, from 15:00 to 15:50, anytime after 16:55
Thursday: Free only at the following times: anytime before 10:30, from 10:55 to 11:05, from 12:10 to 17:00
Friday: Free only at the following times: from 9:00 to 10:25, from 10:35 to 11:15, from 12:30 to 13:20, from 13:40 to 14:45, from 16:05 to 17:00


The schedule for Eve's week in their local time is as follows:
Monday: Free only at the following times: anytime before 10:20, from 11:15 to 12:10, from 13:15 to 17:00
Tuesday: Free only at the following times: from 9:00 to 10:05, from 10:45 to 11:00, from 12:30 to 13:25, from 14:30 to 17:00
Wednesday: Booked at the following times: from 10:25 to 11:00, from 12:25 to 13:15, from 14:25 to 15:30
Thursday: Booked at the following times: from 9:55 to 10:25, from 11:45 to 13:00, from 13:20 to 13:35, from 14:40 to 16:00
Friday: Free only at the following times: anytime before 10:20, from 11:05 to 11:05, from 11:20 to 12:45, from 13:50 to 17:00


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


Charlotte prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes long
Alice needs a break for lunch on Wednesday from 12:30 to 1:00
Eve is fine to stay until 6pm to accommodate the meeting
Karen 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
d7755565-3225-50b5-964c-8778e84c7200
task_key
bbeh~5ftemporal~5fsequence--full--d7755565-3225-50b5-964c-8778e84c7200
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import