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BIG-Bench Extra Hard (BBEH) / Sarah, Zoey, Yolanda, Eve, Charlotte and Rachel work from 9 to 5 their local…

Problem

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input

Sarah, Zoey, Yolanda, Eve, Charlotte and Rachel work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week.

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


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


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


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


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


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


Sarah is flexible to miss (at most) 10 minutes of the meeting
Zoey can clear any meeting of 30 minutes or less from their schedule to accommodate the meeting
Yolanda can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
Eve prefers short meetings on Mondays and Thursdays and accepts new meetings on these two days only if they are at most 1 hour long
Charlotte is flexible to miss the last (at most) 10 minutes of the meeting
Rachel 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
7a273007-ff7d-51aa-9b61-f223ab093ee4
task_key
bbeh~5ftemporal~5fsequence--full--7a273007-ff7d-51aa-9b61-f223ab093ee4
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import