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

Problem

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input

Isabella, Eve 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: Free only at the following times: anytime before 10:00, from 11:05 to 11:45, from 11:55 to 17:00
Tuesday: Booked at the following times: from 9:00 to 9:35, from 10:20 to 11:45, from 11:45 to 11:55, from 13:15 to 14:45
Wednesday: Free only at the following times: anytime before 9:20, from 9:55 to 10:25, from 11:00 to 11:45, anytime after 11:55
Thursday: Free only at the following times: from 9:00 to 9:35, from 10:45 to 10:55, from 12:10 to 17:00
Friday: Booked at the following times: from 9:55 to 11:00, from 12:00 to 12:50


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


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


Isabella is fine to stay until 6pm to accommodate the meeting
Eve feels tired late in the day and requires the meeting to end before 4pm
Emma 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
0e66d2ce-91ea-567d-9f40-6c1a99ae65c3
task_key
bbeh~5ftemporal~5fsequence--full--0e66d2ce-91ea-567d-9f40-6c1a99ae65c3
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import