#715

Range Module

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Description

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]

Example 2:

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)

Solution