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BIG-Bench Extra Hard (BBEH) / Isabella, Victoria, Alice and Emma work from 9 to 5 their local time on…

Problem

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input

Isabella, Victoria, Alice and Emma work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week.

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


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


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


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


Isabella is flexible to miss (at most) 10 minutes of the meeting
Victoria feels tired late in the day and requires the meeting to end before 4pm
Alice is fine to stay until 6pm to accommodate the meeting
Emma 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
a7e9b7e9-9e20-533f-baf1-feeacf6afd0b
task_key
bbeh~5ftemporal~5fsequence--full--a7e9b7e9-9e20-533f-baf1-feeacf6afd0b
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import