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

Problem

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input

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

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


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


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


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


Olivia is in a timezone that is one hour ahead of other participants
Karen feels tired late in the day and requires the meeting to end before 4pm
Victoria is flexible to miss the last (at most) 10 minutes of the meeting
Isabella prefers short meetings on Mondays and Thursdays and accepts new meetings on these two days only if they are at most 1 hour long
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
71d04b1b-5aff-5ee1-99bd-01fdc7d0a001
task_key
bbeh~5ftemporal~5fsequence--full--71d04b1b-5aff-5ee1-99bd-01fdc7d0a001
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import