Range Module

A Range Module is a module that tracks ranges of numbers. Design a data structure to track the ranges represented as **half-open intervals** and query about them. A **half-open interval** `[left, right)` denotes all the real numbers `x` where `left <= x < right`. Implement the `RangeModule` class: - `RangeModule()` Initializes the object of the data structure. - `void addRange(int left, int right)` Adds the **half-open interval** `[left, right)`, tracking every real number in that interval. Adding an interval that partially overlaps with currently tracked numbers should add any numbers in the interval `[left, right)` that are not already tracked. - `boolean queryRange(int left, int right)` Returns `true` if every real number in the interval `[left, right)` is currently being tracked, and `false` otherwise. - `void removeRange(int left, int right)` Stops tracking every real number currently being tracked in the **half-open interval** `[left, right)`.   **Example 1:** **Input** ["RangeModule", "addRange", "removeRange", "queryRange", "queryRange", "queryRange"] [[], [10, 20], [14, 16], [10, 14], [13, 15], [16, 17]] **Output** [null, null, null, true, false, true] **Explanation** RangeModule rangeModule = new RangeModule(); rangeModule.addRange(10, 20); rangeModule.removeRange(14, 16); rangeModule.queryRange(10, 14); // return True,(Every number in [10, 14) is being tracked) rangeModule.queryRange(13, 15); // return False,(Numbers like 14, 14.03, 14.17 in [13, 15) are not being tracked) rangeModule.queryRange(16, 17); // return True, (The number 16 in [16, 17) is still being tracked, despite the remove operation) ```   **Constraints:** - `1 <= left < right <= 109` - At most `104` calls will be made to `addRange`, `queryRange`, and `removeRange`.