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

Problem

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input

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


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


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


Olivia is fine to stay until 6pm to accommodate the meeting
Amelia prefers short meetings on Mondays and Thursdays and accepts new meetings on these two days only if they are at most 1 hour long
Alice is flexible to miss (at most) 10 minutes of 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
f608ec15-8ea7-5825-a085-b827986c58f8
task_key
bbeh~5ftemporal~5fsequence--full--f608ec15-8ea7-5825-a085-b827986c58f8
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import