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BIG-Bench Extra Hard (BBEH) / Alice, Victoria, Claire, Nancy, Olivia and Sarah work from 9 to 5 their local…

Problem

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input

Alice, Victoria, Claire, Nancy, Olivia and Sarah 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 10:25 to 11:45, from 12:20 to 12:45, from 14:05 to 14:40, from 15:50 to 16:00
Tuesday: Booked at the following times: from 9:45 to 9:55, from 11:05 to 11:45
Wednesday: Booked at the following times: from 9:55 to 10:35, from 11:55 to 13:20, from 13:40 to 15:05, from 16:05 to 16:45
Thursday: Free only at the following times: from 9:00 to 10:30, from 11:25 to 11:30, from 12:00 to 13:10, from 13:15 to 17:00
Friday: Booked at the following times: from 9:45 to 10:20, from 10:55 to 11:35


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


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


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


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


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


Alice needs a break for lunch on Wednesday from 12:30 to 1:00
Victoria feels tired late in the day and requires the meeting to end before 4pm
Claire asks the meeting to be scheduled such that she has at least 10 minutes of free time before the meeting (the free time must fall within her 9am to 5pm)
Nancy prefers short meetings on Mondays and Thursdays and accepts new meetings on these two days only if they are at most 1 hour long
Olivia can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
Sarah prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes 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
c539ca4a-daae-5462-a9e6-62a097953a3c
task_key
bbeh~5ftemporal~5fsequence--full--c539ca4a-daae-5462-a9e6-62a097953a3c
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import