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

Problem

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input

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


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


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


Sophia is flexible to miss (at most) 10 minutes of the meeting
Claire feels tired late in the day and requires the meeting to end before 4pm
Emma is fine to stay until 6pm to accommodate the meeting
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
36948c4c-122c-58d6-b3bc-11a0b1ea2fe0
task_key
bbeh~5ftemporal~5fsequence--full--36948c4c-122c-58d6-b3bc-11a0b1ea2fe0
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import