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BIG-Bench Extra Hard (BBEH) / Zoey, Lisa, Emma, Amelia, Nancy and Victoria work from 9 to 5 their local time…

Problem

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input

Zoey, Lisa, Emma, Amelia, Nancy and Victoria work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week.

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


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


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


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


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


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


Zoey prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes long
Lisa can clear any meeting of 30 minutes or less from their schedule to accommodate the meeting
Emma asks the meeting to be scheduled such that she has at least 10 minutes of free time after the meeting (the free time must fall within her 9am to 5pm)
Amelia is flexible to miss (at most) 10 minutes of the meeting
Nancy feels tired late in the day and requires the meeting to end before 4pm
Victoria is flexible to miss the last (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
da398ae2-f2b4-57a6-ad22-c05ccb887fcb
task_key
bbeh~5ftemporal~5fsequence--full--da398ae2-f2b4-57a6-ad22-c05ccb887fcb
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import