# 0785. Is Graph Bipartite?

https://leetcode.com/problems/is-graph-bipartite

## Description

There is an **undirected** graph with `n` nodes, where each node is numbered between `0` and `n - 1`. You are given a 2D array `graph`, where `graph[u]` is an array of nodes that node `u` is adjacent to. More formally, for each `v` in `graph[u]`, there is an undirected edge between node `u` and node `v`. The graph has the following properties:

* There are no self-edges (`graph[u]` does not contain `u`).
* There are no parallel edges (`graph[u]` does not contain duplicate values).
* If `v` is in `graph[u]`, then `u` is in `graph[v]` (the graph is undirected).
* The graph may not be connected, meaning there may be two nodes `u` and `v` such that there is no path between them.

A graph is **bipartite** if the nodes can be partitioned into two independent sets `A` and `B` such that **every** edge in the graph connects a node in set `A` and a node in set `B`.

Return `true` _if and only if it is **bipartite**_.

**Example 1:**

![](https://assets.leetcode.com/uploads/2020/10/21/bi2.jpg)

```
**Input:** graph = [[1,2,3],[0,2],[0,1,3],[0,2]]
**Output:** false
**Explanation:** There is no way to partition the nodes into two independent sets such that every edge connects a node in one and a node in the other.
```

**Example 2:**

![](https://assets.leetcode.com/uploads/2020/10/21/bi1.jpg)

```
**Input:** graph = [[1,3],[0,2],[1,3],[0,2]]
**Output:** true
**Explanation:** We can partition the nodes into two sets: {0, 2} and {1, 3}.
```

**Constraints:**

* `graph.length == n`
* `1 <= n <= 100`
* `0 <= graph[u].length < n`
* `0 <= graph[u][i] <= n - 1`
* `graph[u]` does not contain `u`.
* All the values of `graph[u]` are **unique**.
* If `graph[u]` contains `v`, then `graph[v]` contains `u`.

## ac

```java
```
