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BIG-Bench Extra Hard (BBEH) / Lisa, Charlotte, Yolanda, Zoey, Alice and Amelia work from 9 to 5 their local…

Problem

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input

Lisa, Charlotte, Yolanda, Zoey, Alice and Amelia work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week.

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


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


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


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


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


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


Lisa prefers short meetings on Mondays and Thursdays and accepts new meetings on these two days only if they are at most 1 hour long
Charlotte feels tired late in the day and requires the meeting to end before 4pm
Yolanda is fine to stay until 6pm to accommodate the meeting
Zoey is flexible to miss the last (at most) 10 minutes of the meeting
Alice can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
Amelia is in a timezone that is one hour ahead of other participants
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
5728b1fd-3418-5c82-8282-2a5ce17b175d
task_key
bbeh~5ftemporal~5fsequence--full--5728b1fd-3418-5c82-8282-2a5ce17b175d
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import