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BIG-Bench Extra Hard (BBEH) / Karen, Amelia, Eve, Sophia and Lisa work from 9 to 5 their local time on…

Problem

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input

Karen, Amelia, Eve, Sophia and Lisa work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week.

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


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


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


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


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


Karen 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 prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes long
Eve is fine to stay until 6pm to accommodate the meeting
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
Lisa 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
84ab3243-506d-5fc0-8a1e-4b909f8d53d3
task_key
bbeh~5ftemporal~5fsequence--full--84ab3243-506d-5fc0-8a1e-4b909f8d53d3
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import