Problem

Given two numbers, hour and minutes. Return the smaller angle (in degrees) formed between the hour and the minute hand.

Example 1:

Input: hour = 12, minutes = 30

Output: 165

Example 2:

Input: hour = 3, minutes = 30

Output: 75

Example 3:

Input: hour = 3, minutes = 15

Output: 7.5

Example 4:

Input: hour = 4, minutes = 50

Output: 155

Example 5:

Input: hour = 12, minutes = 0

Output: 0

Constraints:

1 <= hour <= 12

0 <= minutes <= 59

Answers within 10^-5 of the actual value will be accepted as correct.

Pre analysis

We need to take into account how much the hour hand moves per minute change in minute hand