# 1942. The Number of the Smallest Unoccupied Chair

https://leetcode.com/problems/the-number-of-the-smallest-unoccupied-chair

## Description

There is a party where `n` friends numbered from `0` to `n - 1` are attending. There is an **infinite** number of chairs in this party that are numbered from `0` to `infinity`. When a friend arrives at the party, they sit on the unoccupied chair with the **smallest number**.

* For example, if chairs `0`, `1`, and `5` are occupied when a friend comes, they will sit on chair number `2`.

When a friend leaves the party, their chair becomes unoccupied at the moment they leave. If another friend arrives at that same moment, they can sit in that chair.

You are given a **0-indexed** 2D integer array `times` where `times[i] = [arrivali, leavingi]`, indicating the arrival and leaving times of the `ith` friend respectively, and an integer `targetFriend`. All arrival times are **distinct**.

Return _the **chair number** that the friend numbered_ `targetFriend` _will sit on_.

**Example 1:**

```
**Input:** times = [[1,4],[2,3],[4,6]], targetFriend = 1
**Output:** 1
**Explanation:** 
- Friend 0 arrives at time 1 and sits on chair 0.
- Friend 1 arrives at time 2 and sits on chair 1.
- Friend 1 leaves at time 3 and chair 1 becomes empty.
- Friend 0 leaves at time 4 and chair 0 becomes empty.
- Friend 2 arrives at time 4 and sits on chair 0.
Since friend 1 sat on chair 1, we return 1.
```

**Example 2:**

```
**Input:** times = [[3,10],[1,5],[2,6]], targetFriend = 0
**Output:** 2
**Explanation:** 
- Friend 1 arrives at time 1 and sits on chair 0.
- Friend 2 arrives at time 2 and sits on chair 1.
- Friend 0 arrives at time 3 and sits on chair 2.
- Friend 1 leaves at time 5 and chair 0 becomes empty.
- Friend 2 leaves at time 6 and chair 1 becomes empty.
- Friend 0 leaves at time 10 and chair 2 becomes empty.
Since friend 0 sat on chair 2, we return 2.
```

**Constraints:**

* `n == times.length`
* `2 <= n <= 104`
* `times[i].length == 2`
* `1 <= arrivali < leavingi <= 105`
* `0 <= targetFriend <= n - 1`
* Each `arrivali` time is **distinct**.

## ac

```java
```
