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

Problem

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input

Alice, Nancy and Victoria work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week.

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


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


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


Alice can clear any meeting of 30 minutes or less from their schedule to accommodate the meeting
Nancy prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes long
Victoria needs a break for lunch on Wednesday from 12:30 to 1:00
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
1c942399-a62f-5842-9ca7-9b749ca5e622
task_key
bbeh~5ftemporal~5fsequence--full--1c942399-a62f-5842-9ca7-9b749ca5e622
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import