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BIG-Bench Extra Hard (BBEH) / Eve, Sophia, Yolanda, Nancy and Emma work from 9 to 5 their local time on…

Problem

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input

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


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 11:35 to 13:05, anytime after 13:25
Tuesday: Free only at the following times: anytime before 10:20, from 11:25 to 12:40, from 13:40 to 15:00, from 15:25 to 16:25, anytime after 16:50
Wednesday: Booked at the following times: from 9:50 to 10:15, from 10:45 to 11:10, from 12:30 to 13:45, from 13:45 to 13:55
Thursday: Free only at the following times: from 9:00 to 9:55, from 10:50 to 12:20, from 12:30 to 13:55, from 14:55 to 16:25, from 16:40 to 17:00
Friday: Booked at the following times: from 10:30 to 12:00, from 12:10 to 13:30, from 13:45 to 14:05


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


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


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


Eve is flexible to miss (at most) 10 minutes of the meeting
Sophia can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
Yolanda prefers short meetings on Mondays and Thursdays and accepts new meetings on these two days only if they are at most 1 hour long
Nancy feels tired late in the day and requires the meeting to end before 4pm
Emma can clear any meeting of 30 minutes or less from their schedule 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
00716e1a-c47a-5321-829a-3b09d9466b1b
task_key
bbeh~5ftemporal~5fsequence--full--00716e1a-c47a-5321-829a-3b09d9466b1b
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import