<p>You are given a <strong>0-indexed</strong> 2D integer array of <code>events</code> where <code>events[i] = [startTime<sub>i</sub>, endTime<sub>i</sub>, value<sub>i</sub>]</code>. The <code>i<sup>th</sup></code> event starts at <code>startTime<sub>i</sub></code><sub> </sub>and ends at <code>endTime<sub>i</sub></code>, and if you attend this event, you will receive a value of <code>value<sub>i</sub></code>. You can choose <strong>at most</strong> <strong>two</strong> <strong>non-overlapping</strong> events to attend such that the sum of their values is <strong>maximized</strong>.</p> <p>Return <em>this <strong>maximum</strong> sum.</em></p> <p>Note that the start time and end time is <strong>inclusive</strong>: that is, you cannot attend two events where one of them starts and the other ends at the same time. More specifically, if you attend an event with end time <code>t</code>, the next event must start at or after <code>t + 1</code>.</p> <p> </p> <p><strong>Example 1:</strong></p> <img alt="" src="https://assets.leetcode.com/uploads/2021/09/21/picture5.png" style="width: 400px; height: 75px;" /> <pre> <strong>Input:</strong> events = [[1,3,2],[4,5,2],[2,4,3]] <strong>Output:</strong> 4 <strong>Explanation: </strong>Choose the green events, 0 and 1 for a sum of 2 + 2 = 4. </pre> <p><strong>Example 2:</strong></p> <img alt="Example 1 Diagram" src="https://assets.leetcode.com/uploads/2021/09/21/picture1.png" style="width: 400px; height: 77px;" /> <pre> <strong>Input:</strong> events = [[1,3,2],[4,5,2],[1,5,5]] <strong>Output:</strong> 5 <strong>Explanation: </strong>Choose event 2 for a sum of 5. </pre> <p><strong>Example 3:</strong></p> <img alt="" src="https://assets.leetcode.com/uploads/2021/09/21/picture3.png" style="width: 400px; height: 66px;" /> <pre> <strong>Input:</strong> events = [[1,5,3],[1,5,1],[6,6,5]] <strong>Output:</strong> 8 <strong>Explanation: </strong>Choose events 0 and 2 for a sum of 3 + 5 = 8.</pre> <p> </p> <p><strong>Constraints:</strong></p> <ul> <li><code>2 <= events.length <= 10<sup>5</sup></code></li> <li><code>events[i].length == 3</code></li> <li><code>1 <= startTime<sub>i</sub> <= endTime<sub>i</sub> <= 10<sup>9</sup></code></li> <li><code>1 <= value<sub>i</sub> <= 10<sup>6</sup></code></li> </ul>