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BIG-Bench Extra Hard (BBEH) / Emma, Olivia and Charlotte work from 9 to 5 their local time on weekdays. They…

Problem

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input

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

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


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


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


Emma feels tired late in the day and requires the meeting to end before 4pm
Olivia is flexible to miss the last (at most) 10 minutes of the meeting
Charlotte 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
06e4cda3-56b3-54a2-9861-84d83c81eb0a
task_key
bbeh~5ftemporal~5fsequence--full--06e4cda3-56b3-54a2-9861-84d83c81eb0a
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import