A Range Module is a module that tracks ranges of numbers. Your task is to design and implement the following interfaces in an efficient manner.
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.queryRange(int left, int right) Returns true if and only if every real number in the interval [left, right)
is currently being tracked.
removeRange(int left, int right) Stops tracking every real number currently being tracked in the interval [left, right).Example 1:
addRange(10, 20): null removeRange(14, 16): null queryRange(10, 14): true (Every number in [10, 14) is being tracked) queryRange(13, 15): false (Numbers like 14, 14.03, 14.17 in [13, 15) are not being tracked) queryRange(16, 17): true (The number 16 in [16, 17) is still being tracked, despite the remove operation)
Note:
[left, right) denotes all real numbers left <= x < right.0 < left < right < 10^9 in all calls to addRange, queryRange, removeRange.addRange in a single test case is at most 1000.queryRange in a single test case is at most 5000.removeRange in a single test case is at most 1000.