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]ExplanationRangeModule 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 <= 10`

^{9}- At most
`10`

calls will be made to^{4}`addRange`

,`queryRange`

, and`removeRange`

.