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

Problem

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input

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


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


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


Karen is flexible to miss (at most) 10 minutes of the meeting
Eve 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)
Yolanda is flexible to miss the last (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
b30ab918-9ade-5d35-b06a-381b4f915dc7
task_key
bbeh~5ftemporal~5fsequence--full--b30ab918-9ade-5d35-b06a-381b4f915dc7
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import