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BIG-Bench Extra Hard (BBEH) / Emma, Nancy, Lisa, Sarah and Ava work from 9 to 5 their local time on weekdays.…

Problem

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input

Emma, Nancy, Lisa, Sarah and Ava work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week.

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


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


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


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


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


Emma prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes long
Nancy is flexible to miss the last (at most) 10 minutes of the meeting
Lisa is flexible to miss (at most) 10 minutes of the meeting
Sarah feels tired late in the day and requires the meeting to end before 4pm
Ava can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
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
29198e30-2011-5d2f-91d7-9e92c072981d
task_key
bbeh~5ftemporal~5fsequence--full--29198e30-2011-5d2f-91d7-9e92c072981d
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import