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

Problem

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input

Olivia, Ava and Nancy 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 9:15 to 9:25, from 10:50 to 10:55
Tuesday: Booked at the following times: from 9:25 to 10:10, from 11:00 to 11:30, from 12:45 to 13:15, from 14:40 to 16:05
Wednesday: Free only at the following times: from 9:00 to 9:50, from 10:00 to 10:00, from 10:20 to 17:00
Thursday: Booked at the following times: from 9:05 to 10:20, from 10:50 to 12:20
Friday: Free only at the following times: from 9:00 to 10:25, from 11:45 to 13:00, anytime after 14:20


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


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


Olivia feels tired late in the day and requires the meeting to end before 4pm
Ava is fine to stay until 6pm to accommodate the meeting
Nancy 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
96443622-11ba-5e15-a76c-0b38086ba195
task_key
bbeh~5ftemporal~5fsequence--full--96443622-11ba-5e15-a76c-0b38086ba195
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import