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

Problem

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input

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

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


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


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


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


Lisa can clear any meeting of 30 minutes or less from their schedule to accommodate the meeting
Rachel 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)
Isabella needs a break for lunch on Wednesday from 12:30 to 1:00
Amelia 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)
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
61a3beb3-bc80-5649-a813-ebd28ae21e48
task_key
bbeh~5ftemporal~5fsequence--full--61a3beb3-bc80-5649-a813-ebd28ae21e48
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import