# Line of People

You are given integers `n`

, `a`

and `b`

. You are standing in a line of `n`

people. You don’t know which position you’re in, but you know there are at least `a`

people in front of you and at most `b`

people behind you.

Return the number of possible positions you could be in.

https://binarysearch.com/problems/Line-of-People

## Examples

### Example 1

**Input**

- n =
`10`

- a =
`3`

- b =
`4`

**Output**

- answer =
`5`

**Explanation**

There’s `10`

people and at least `3`

are in front and at most `4`

are behind.

This means you can be in indexes `[0, 1, 2, 3, 4]`

. For example, at index `0`

, `9`

people are in front, `0`

are behind.

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