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BIG-Bench Extra Hard (BBEH) / Olivia, Amelia, Victoria, Karen, Rachel and Charlotte work from 9 to 5 their…

Problem

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input

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


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


The schedule for Victoria's week in their local time is as follows:
Monday: Free only at the following times: from 9:00 to 10:30, from 11:55 to 13:25, from 14:15 to 14:30, from 15:20 to 16:05, from 16:10 to 17:00
Tuesday: Free only at the following times: anytime before 10:05, from 10:35 to 11:15, from 12:20 to 17:00
Wednesday: Booked at the following times: from 9:55 to 10:00, from 10:10 to 10:25, from 11:30 to 12:50, from 12:55 to 14:10
Thursday: Free only at the following times: from 9:00 to 9:25, from 10:00 to 10:05, from 10:20 to 10:40, from 11:45 to 12:05, from 12:35 to 17:00
Friday: Free only at the following times: from 9:00 to 9:50, from 9:55 to 11:00, from 11:45 to 17:00


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


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


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


Olivia is flexible to miss the last (at most) 10 minutes of the meeting
Amelia 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
Karen is flexible to miss (at most) 10 minutes of the meeting
Rachel 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)
Charlotte can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
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
03d570c9-fbce-5505-9bb0-1dae13443fd3
task_key
bbeh~5ftemporal~5fsequence--full--03d570c9-fbce-5505-9bb0-1dae13443fd3
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import