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BIG-Bench Extra Hard (BBEH) / Sophia, Alice, Lisa and Victoria work from 9 to 5 their local time on weekdays.…

Problem

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input

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

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


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


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


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


Sophia is flexible to miss (at most) 10 minutes of the meeting
Alice feels tired late in the day and requires the meeting to end before 4pm
Lisa is in a timezone that is one hour ahead of other participants
Victoria 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
5e8eb9b3-63c1-5d35-93eb-0456240b6311
task_key
bbeh~5ftemporal~5fsequence--full--5e8eb9b3-63c1-5d35-93eb-0456240b6311
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import