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

Problem

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input

Sophia, Yolanda and Karen work from 9 to 5 their local time on weekdays. They want to have a meeting some time this week.

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


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


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


Sophia is flexible to miss (at most) 10 minutes of the meeting
Yolanda needs a break for lunch on Wednesday from 12:30 to 1:00
Karen can clear their morning schedule from 9:00 to 9:45 (if blocked) everyday if needed
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
76cdc275-da2f-50ce-aa1b-d2fe4897b801
task_key
bbeh~5ftemporal~5fsequence--full--76cdc275-da2f-50ce-aa1b-d2fe4897b801
task_revision_id
1
config / split
bbeh_temporal_sequence / full

Official source

initial import