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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.

class RangeModule { public RangeModule() { } public void addRange(int left, int right) { } public boolean queryRange(int left, int right) { } public void removeRange(int left, int right) { } } /** * Your RangeModule object will be instantiated and called as such: * RangeModule obj = new RangeModule(); * obj.addRange(left,right); * boolean param_2 = obj.queryRange(left,right); * obj.removeRange(left,right); */