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

Problem

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input

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


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


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


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


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


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


Eve is fine to stay until 6pm to accommodate the meeting
Zoey prefers short meetings on Mondays and Thursdays and accepts new meetings on these two days only if they are at most 1 hour long
Karen feels tired late in the day and requires the meeting to end before 4pm
Olivia needs a break for lunch on Wednesday from 12:30 to 1:00
Amelia is in a timezone that is one hour ahead of other participants
Alice asks the meeting to be scheduled such that she has at least 10 minutes of free time after the meeting (the free time must fall within her 9am to 5pm)
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
7d1088b5-031d-5e8c-bd88-693dc0d753f8
task_key
bbeh~5ftemporal~5fsequence--full--7d1088b5-031d-5e8c-bd88-693dc0d753f8
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import