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

Problem

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input

Charlotte, Sophia and Claire work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week.

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


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


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


Charlotte can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
Sophia is flexible to miss the last (at most) 10 minutes of the meeting
Claire 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
8459bb65-6797-56bf-be48-2c7995d91a2e
task_key
bbeh~5ftemporal~5fsequence--full--8459bb65-6797-56bf-be48-2c7995d91a2e
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import