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:
- A half open interval
[left, right)denotes all real numbersleft <= x < right. 0 < left < right < 10^9in all calls toaddRange, queryRange, removeRange.- The total number of calls to
addRangein a single test case is at most1000. - The total number of calls to
queryRangein a single test case is at most5000. - The total number of calls to
removeRangein a single test case is at most1000.
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