Day 3 - Norris Geyser Basin

You want to catch an eruption of Steamboat Geyser. You have a list of eruption times for Steamboat. You can calculate the following statistics about eruption times:

• Average calendar days between eruptions: Average number of calendar days between eruption dates. Ignore the hours and minutes. For example, suppose the first eruption is July 15, 2020, 10:15 AM and the second is July 17, 2020, 1:10 PM, then the number of calendar days between eruptions is 2.
• Average hour: The average hour that an eruption occurs. Ignore the day and minutes.
• Median minutes: The median minute that an eruption occurs. Ignore the day and hour.

Round down all averages to an integer.

The most recent eruption is the last eruption in the intput file. To create your prediction from the most recent eruption:

• Date: Add the average calendar days between eruptions to the previous eruption date.
• Hour: Set to the average hour of eruption.
• Minutes: Set to the median minute of eruption.

Using the test input, the statistics are:

The last eruption in the test file is 2019-09-03 07:25:00. The solution, in the form mm:dd:yyyy:hh:mm, is 09:06:2019:09:31.

What is your prediction for the next eruption? Give your answer in the form mm:dd:yyyy:hh:mm, using a 24-hour clock.

Input

Test input

Hints