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

Problem

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input

Sophia, Isabella and Olivia 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: Free only at the following times: anytime before 10:10, from 11:10 to 11:50, from 12:20 to 12:30, from 14:00 to 17:00
Tuesday: Booked at the following times: from 10:30 to 11:55, from 12:35 to 12:50
Wednesday: Free only at the following times: from 9:00 to 10:05, from 10:55 to 11:25, from 12:50 to 13:50, anytime after 14:40
Thursday: Free only at the following times: anytime before 10:05, from 11:10 to 12:30, anytime after 13:50
Friday: Booked at the following times: anytime before 9:05, from 9:05 to 9:40, from 10:25 to 10:55, from 10:55 to 11:40


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


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


Sophia feels tired late in the day and requires the meeting to end before 4pm
Isabella can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
Olivia 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
e7910d27-1ef9-5e3a-8629-3af21580e50d
task_key
bbeh~5ftemporal~5fsequence--full--e7910d27-1ef9-5e3a-8629-3af21580e50d
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import