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

Problem

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input

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


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


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


Karen is fine to stay until 6pm to accommodate the meeting
Yolanda 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
1cb41d94-0db9-5719-a0f9-78dc3f4d99fc
task_key
bbeh~5ftemporal~5fsequence--full--1cb41d94-0db9-5719-a0f9-78dc3f4d99fc
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import