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

Problem

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input

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


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


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


Isabella prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes long
Mary is fine to stay until 6pm to accommodate the meeting
Nancy 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
094d4e0e-2a58-58e4-b089-a5a7cc1b2810
task_key
bbeh~5ftemporal~5fsequence--full--094d4e0e-2a58-58e4-b089-a5a7cc1b2810
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import