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BIG-Bench Extra Hard (BBEH) / Emma, Yolanda, Lisa, Zoey, Claire and Karen work from 9 to 5 their local time on…

Problem

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input

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

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


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


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


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


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


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


Emma is flexible to miss (at most) 10 minutes of the meeting
Yolanda can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
Lisa prefers long meetings on Tuesdays and Fridays and accepts new meetings on these two days only if they are at least 30 minutes long
Zoey is flexible to miss the last (at most) 10 minutes of the meeting
Claire 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)
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)
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
d1266583-09a3-54c0-b3f1-b3c83d952eda
task_key
bbeh~5ftemporal~5fsequence--full--d1266583-09a3-54c0-b3f1-b3c83d952eda
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import