## CCC '16 J4 - Arrival Time

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Points: 5
Time limit: 2.0s
Memory limit: 256M

Problem type
##### Canadian Computing Competition: 2016 Stage 1, Junior #4

Fiona commutes to work each day. If there is no rush-hour traffic, her commute time is 2 hours. However, there is often rush-hour traffic. Specifically, rush-hour traffic occurs from 07:00 (7am) until 10:00 (10am) in the morning and 15:00 (3pm) until 19:00 (7pm) in the afternoon. During rush-hour traffic, her speed is reduced by half.

She leaves either on the hour (at XX:00), 20 minutes past the hour (at XX:20), or 40 minutes past the hour (at XX:40).

Given Fiona's departure time, at what time does she arrive at work?

#### Input Specification

The input will be one line, which contains an expression of the form HH:MM, in which HH is one of the 24 starting hours (00, 01, ..., 23) and MM is one of the three possible departure minute times (00, 20, 40).

#### Output Specification

Output the time of Fiona's arrival, in the form HH:MM.

#### Sample Input 1

05:00

#### Output for Sample Input 1

07:00

#### Explanation for Output for Sample Input 1

Fiona does not encounter any rush-hour traffic, and leaving at 5am, she arrives at exactly 7am.

#### Sample Input 2

07:00

#### Output for Sample Input 2

10:30

#### Explanation for Output for Sample Input 2

Fiona drives for 3 hours in rush-hour traffic, but only travels as far as she normally would after driving for 1.5 hours. During the final 30 minutes (0.5 hours) she is driving in non-rush-hour traffic.

#### Sample Input 3

23:20

#### Output for Sample Input 3

01:20

#### Explanation for Output for Sample Input 3

Fiona leaves at 11:20pm, and with non-rush-hour traffic, it takes two hours to travel, so she arrives at 1:20am the next day.

• commented on July 13, 2024, 11:29 a.m.

are the times fully inclusive? eg if she leaves at 6:40, is she on the road at 6:40? or does that only start at 6:41? i have the same question regarding the rush hour traffic times, I will assume for now that everythings inclusive

• commented on Jan. 16, 2023, 10:37 p.m.

Is rush hour traffic inclusive or exclusive?

• commented on Dec. 19, 2023, 5:08 a.m.

exclusive I'm pretty sure

• commented on May 6, 2021, 7:29 p.m.

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