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

Problem

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input

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

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


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


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


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


Yolanda 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)
Rachel is in a timezone that is one hour ahead of other participants
Ava can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
Sophia prefers short meetings on Mondays and Thursdays and accepts new meetings on these two days only if they are at most 1 hour long
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
86021a7c-0d47-55f7-a001-a310bce09a02
task_key
bbeh~5ftemporal~5fsequence--full--86021a7c-0d47-55f7-a001-a310bce09a02
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import