# Clock Angle

Given a clock time with `hour`

and integer `minutes`

, determine the smaller angle between the hour and the minute hands and floor it to the nearest integer.

Note that the hour hand moves too.

Bonus: When, during the course of a day, will the angle be zero?

**Constraints**

`0 ≤ hour ≤ 23`

`0 ≤ minutes ≤ 59`

https://binarysearch.com/problems/Clock-Angle

## Examples

### Example 1

**Input**

- hour =
`12`

- minutes =
`22`

**Output**

- answer =
`121`

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