## Saturday, July 25, 2020

### 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.

### Video Tutorial

You can find the detailed video tutorial here

### 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