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Java-based LeetCode algorithm problem solutions, regularly updated
715\. Range Module
Hard
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`.