A Range Module is a module that tracks ranges of numbers. Design a data structure to track the ranges represented as halfopen intervals and query about them.
A halfopen 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 halfopen 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)
Returnstrue
if every real number in the interval[left, right)
is currently being tracked, andfalse
otherwise.void removeRange(int left, int right)
Stops tracking every real number currently being tracked in the halfopen 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 <= 10^{9}
 At most
10^{4}
calls will be made toaddRange
,queryRange
, andremoveRange
.

