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

Problem

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input

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

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


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


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


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


Nancy is fine to stay until 6pm to accommodate the meeting
Claire 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)
Zoey is flexible to miss (at most) 10 minutes of the meeting
Mary can clear any meeting of 30 minutes or less from their schedule to accommodate 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
e627c626-d932-55b3-bfab-108d040930d7
task_key
bbeh~5ftemporal~5fsequence--full--e627c626-d932-55b3-bfab-108d040930d7
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import