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BIG-Bench Extra Hard (BBEH) / Alice, Mary, Ava, Charlotte, Claire and Lisa work from 9 to 5 their local time…

Problem

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input

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


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


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


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


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


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


Alice can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
Mary 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)
Ava prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes long
Charlotte can clear any meeting of 30 minutes or less from their schedule to accommodate the meeting
Claire 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 feels tired late in the day and requires the meeting to end before 4pm
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
259d0675-c25c-5061-b5c4-a1eb06ca516f
task_key
bbeh~5ftemporal~5fsequence--full--259d0675-c25c-5061-b5c4-a1eb06ca516f
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import