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Angle Between Clock Hands

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Problem

Clearwater Analytics systems may receive time values that need to be converted into geometric features for validation or visualization. Given an hour and minute on a 12-hour analog clock, calculate the smaller angle between the hour and minute hands.

The hour hand moves continuously as the minutes advance. For example, at 3:30, the hour hand is halfway between 3 and 4, not exactly on 3.

Formal Specification

Implement clock_angle(hour, minute).

  • Input: hour, an integer from 1 through 12, and minute, an integer from 0 through 59.
  • Output: A floating-point number representing the smaller angle between the hands, in degrees. Return the result rounded to at most 6 decimal places.
  • The returned angle must be in the inclusive range [0, 180].

Constraints

  • 1 <= hour <= 12
  • 0 <= minute <= 59
  • The hour hand moves continuously as minutes pass
  • Return the smaller angle in degrees

Function Signature

def clock_angle(hour, minute):
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