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BIG-Bench Extra Hard (BBEH) / Eve, Sophia, Emma, Ava, Karen and Amelia work from 9 to 5 their local time on…

Problem

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input

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


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


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


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


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


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


Eve can clear any meeting of 30 minutes or less from their schedule to accommodate the meeting
Sophia needs a break for lunch on Wednesday from 12:30 to 1:00
Emma is in a timezone that is one hour ahead of other participants
Ava is flexible to miss (at most) 10 minutes of the meeting
Karen prefers short meetings on Mondays and Thursdays and accepts new meetings on these two days only if they are at most 1 hour long
Amelia is flexible to miss the last (at most) 10 minutes of 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
eb1e3135-05fb-51ba-b24a-a0d7dbc45855
task_key
bbeh~5ftemporal~5fsequence--full--eb1e3135-05fb-51ba-b24a-a0d7dbc45855
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import