Leetcode solution 1344. Angle Between Hands of a Clock

Problem Statement 

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.

 Problem link

Video Tutorial

You can find the detailed video tutorial here

• Youtube
  
• B站

Thought Process

Purely a math problem. Calculate the clock's hour hand and minute hand separately.

• There are 60 minutes in 360 angle, so each minute is 6 degree in angle.
• Angle should be the absolute value of (minute angel - hour angle)
• Final angle should be min(angle, 360 - angle)
  

Solutions

Time Complexity: O(1) since it's a math problem
Space Complexity: O(1) no extra space is used

References

• Leetcode official solution