<p>Design a data structure that efficiently finds the <strong>majority element</strong> of a given subarray.</p> <p>The <strong>majority element</strong> of a subarray is an element that occurs <code>threshold</code> times or more in the subarray.</p> <p>Implementing the <code>MajorityChecker</code> class:</p> <ul> <li><code>MajorityChecker(int[] arr)</code> Initializes the instance of the class with the given array <code>arr</code>.</li> <li><code>int query(int left, int right, int threshold)</code> returns the element in the subarray <code>arr[left...right]</code> that occurs at least <code>threshold</code> times, or <code>-1</code> if no such element exists.</li> </ul> <p> </p> <p><strong>Example 1:</strong></p> <pre> <strong>Input</strong> ["MajorityChecker", "query", "query", "query"] [[[1, 1, 2, 2, 1, 1]], [0, 5, 4], [0, 3, 3], [2, 3, 2]] <strong>Output</strong> [null, 1, -1, 2] <strong>Explanation</strong> MajorityChecker majorityChecker = new MajorityChecker([1, 1, 2, 2, 1, 1]); majorityChecker.query(0, 5, 4); // return 1 majorityChecker.query(0, 3, 3); // return -1 majorityChecker.query(2, 3, 2); // return 2 </pre> <p> </p> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= arr.length <= 2 * 10<sup>4</sup></code></li> <li><code>1 <= arr[i] <= 2 * 10<sup>4</sup></code></li> <li><code>0 <= left <= right < arr.length</code></li> <li><code>threshold <= right - left + 1</code></li> <li><code>2 * threshold > right - left + 1</code></li> <li>At most <code>10<sup>4</sup></code> calls will be made to <code>query</code>.</li> </ul>