A perfect day

[mohayemin]

Overview

Your astronomer friend has recently observed a "perfect planet". Everything about the motion of the planet seems very perfect.
A day, called a "perfect day", on the planet is equal to exactly 16 earth hours. It has just one moon, called the "perfect moon", that rotates around it in exactly 32 days. The planet rotates around the "perfect star" in exactly 256 perfect days.

Your friend wants you to build a simulation software for the perfect planet. To begin with, you are requested to make date and time simulations for the planet.

Task

• Create a PerfectDate class that represents a perfect day of the perfect planet.
• The PerfectDate class should have a year, a month and a date.
• The PerfectDate class must be immutable, that means that the values of the PerfectDate cannot be changed after initialization.
• The PerfectDate class should have a method nextDay that should return the next day of the perfect calendar.

Example

The examples are in yyyy/MM/dd format.

• The day after 1813/01/03 is 1813/01/04
• The day after 1813/01/32 is 1813/02/01
• The day after 1813/08/32 is 1814/01/01

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