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

Problem

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input

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


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


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


Olivia needs a break for lunch on Wednesday from 12:30 to 1:00
Ava prefers short meetings on Mondays and Thursdays and accepts new meetings on these two days only if they are at most 1 hour long
Claire is in a timezone that is one hour ahead of other participants
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
4f55c52c-361f-5276-950d-6303ff3b22ff
task_key
bbeh~5ftemporal~5fsequence--full--4f55c52c-361f-5276-950d-6303ff3b22ff
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import