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

Problem

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input

Lisa, Charlotte and Yolanda 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: Booked at the following times: from 9:05 to 10:20, from 11:30 to 12:40, from 14:05 to 15:30
Tuesday: Booked at the following times: from 9:25 to 10:45, from 11:45 to 12:50
Wednesday: Free only at the following times: anytime before 9:40, from 10:10 to 11:35, anytime after 13:00
Thursday: Booked at the following times: from 10:00 to 10:55, from 11:05 to 11:20, from 12:25 to 13:30, from 13:55 to 14:55
Friday: Free only at the following times: anytime before 9:25, from 9:30 to 10:25, from 10:40 to 11:40, from 12:20 to 13:05, anytime after 14:30


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


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


Lisa is flexible to miss the last (at most) 10 minutes of the meeting
Charlotte can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
Yolanda 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
a8d29bf8-744b-5efa-8366-1882c6a6bb69
task_key
bbeh~5ftemporal~5fsequence--full--a8d29bf8-744b-5efa-8366-1882c6a6bb69
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import