2023-8: Critical Thinking

The biorhythm theory is a pseudo-scientific idea that one's life is affected by three rhythmic cycles beginning from one's date of birth. The cycles are:

The Physical cycle, with a periodicity of 23 days, affecting co-ordination, strength, and general well-being

The Emotional cycle, with a periodicity of 28 days, affecting creativity, sensitivity, mood, perception, and awareness

The Intellectual cycle, with a periodicity of 33 days, affecting alertness, analytical functioning, logical analysis, memory, and communication

"Critical days" are days when a cycle crosses the x-axis in either direction and are purported to be accompanied by unstable conditions in the corresponding area.

A "double critical day" occurs when two of the three cycles cross the x-axis on the same day.

Starting from one's birthdate, double critical days occur on multiples of the least common multiple of the half of the periodicities of the two involved cycles.

Thus Physical-Emotional, Physical-Intellectual and Emotional-Intellectual double critical days can be calculated respectively using multiples of:

# Experimental!

≡(÷⊃∨×∩÷₂) [23 23 28] [28 33 33]

[322 379.5 462]

Fortunately, the dreaded "triple critical day", when all three cycles cross the x-axis on the same day, only occurs every (∧/23 28 33÷2) or 10,626 days (a bit more than 29 years).

Write code that:

takes a 3-element integer first argument representing a valid birthdate

takes a 3-element integer second argument representing a valid date occurring on or after the first argument

returns a 3-element integer array representing the date of the next double or triple critical day occurring on or after the date represented by the second argument.

Note: All the dates in this specification are to be in the form year month day