<p>We want to split a group of <code>n</code> people (labeled from <code>1</code> to <code>n</code>) into two groups of <strong>any size</strong>. Each person may dislike some other people, and they should not go into the same group.</p> <p>Given the integer <code>n</code> and the array <code>dislikes</code> where <code>dislikes[i] = [a<sub>i</sub>, b<sub>i</sub>]</code> indicates that the person labeled <code>a<sub>i</sub></code> does not like the person labeled <code>b<sub>i</sub></code>, return <code>true</code> <em>if it is possible to split everyone into two groups in this way</em>.</p> <p> </p> <p><strong>Example 1:</strong></p> <pre> <strong>Input:</strong> n = 4, dislikes = [[1,2],[1,3],[2,4]] <strong>Output:</strong> true <strong>Explanation:</strong> group1 [1,4] and group2 [2,3]. </pre> <p><strong>Example 2:</strong></p> <pre> <strong>Input:</strong> n = 3, dislikes = [[1,2],[1,3],[2,3]] <strong>Output:</strong> false </pre> <p><strong>Example 3:</strong></p> <pre> <strong>Input:</strong> n = 5, dislikes = [[1,2],[2,3],[3,4],[4,5],[1,5]] <strong>Output:</strong> false </pre> <p> </p> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= n <= 2000</code></li> <li><code>0 <= dislikes.length <= 10<sup>4</sup></code></li> <li><code>dislikes[i].length == 2</code></li> <li><code>1 <= dislikes[i][j] <= n</code></li> <li><code>a<sub>i</sub> < b<sub>i</sub></code></li> <li>All the pairs of <code>dislikes</code> are <strong>unique</strong>.</li> </ul>