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<p>A <code>k</code>-booking happens when <code>k</code> events have some non-empty intersection (i.e., there is some time that is common to all <code>k</code> events.)</p>
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<p>You are given some events <code>[start, end)</code>, after each given event, return an integer <code>k</code> representing the maximum <code>k</code>-booking between all the previous events.</p>
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<p>You are given some events <code>[startTime, endTime)</code>, after each given event, return an integer <code>k</code> representing the maximum <code>k</code>-booking between all the previous events.</p>
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<p>Implement the <code>MyCalendarThree</code> class:</p>
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<ul>
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<li><code>MyCalendarThree()</code> Initializes the object.</li>
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<li><code>int book(int start, int end)</code> Returns an integer <code>k</code> representing the largest integer such that there exists a <code>k</code>-booking in the calendar.</li>
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<li><code>int book(int startTime, int endTime)</code> Returns an integer <code>k</code> representing the largest integer such that there exists a <code>k</code>-booking in the calendar.</li>
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</ul>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input</strong>
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@@ -21,18 +21,19 @@
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<strong>Explanation</strong>
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MyCalendarThree myCalendarThree = new MyCalendarThree();
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myCalendarThree.book(10, 20); // return 1, The first event can be booked and is disjoint, so the maximum k-booking is a 1-booking.
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myCalendarThree.book(50, 60); // return 1, The second event can be booked and is disjoint, so the maximum k-booking is a 1-booking.
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myCalendarThree.book(10, 40); // return 2, The third event [10, 40) intersects the first event, and the maximum k-booking is a 2-booking.
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myCalendarThree.book(5, 15); // return 3, The remaining events cause the maximum K-booking to be only a 3-booking.
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myCalendarThree.book(10, 20); // return 1
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myCalendarThree.book(50, 60); // return 1
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myCalendarThree.book(10, 40); // return 2
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myCalendarThree.book(5, 15); // return 3
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myCalendarThree.book(5, 10); // return 3
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myCalendarThree.book(25, 55); // return 3
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>0 <= start < end <= 10<sup>9</sup></code></li>
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<li><code>0 <= startTime < endTime <= 10<sup>9</sup></code></li>
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<li>At most <code>400</code> calls will be made to <code>book</code>.</li>
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</ul>
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