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

Problem

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input

Alice, Sophia 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: Free only at the following times: from 9:00 to 9:50, from 10:50 to 12:00, anytime after 13:20
Tuesday: Booked at the following times: from 9:25 to 10:40, from 10:40 to 11:35, from 11:35 to 12:30
Wednesday: Free only at the following times: from 9:00 to 10:05, from 10:45 to 11:45, from 12:25 to 12:55, from 13:05 to 14:05, from 14:30 to 17:00
Thursday: Booked at the following times: from 10:20 to 10:30, from 11:45 to 12:40
Friday: Free only at the following times: from 9:00 to 9:45, from 10:15 to 11:05, from 11:55 to 12:05, from 13:30 to 13:55, from 14:40 to 17:00


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


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


Alice 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)
Sophia 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 is flexible to miss (at most) 10 minutes of the meeting
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
88249c02-d742-5562-8be9-559ebd7e665c
task_key
bbeh~5ftemporal~5fsequence--full--88249c02-d742-5562-8be9-559ebd7e665c
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import