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BIG-Bench Extra Hard (BBEH) / Olivia, Charlotte, Alice, Victoria and Emma work from 9 to 5 their local time on…

Problem

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input

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


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


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


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


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


Olivia prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes long
Charlotte is flexible to miss (at most) 10 minutes of the meeting
Alice is in a timezone that is one hour ahead of other participants
Victoria needs a break for lunch on Wednesday from 12:30 to 1:00
Emma 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)
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
ba9398c3-bb46-5ae8-a79e-2f86f9a787a4
task_key
bbeh~5ftemporal~5fsequence--full--ba9398c3-bb46-5ae8-a79e-2f86f9a787a4
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import