715. Range Module
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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 < 10^9
in all calls toaddRange, queryRange, removeRange
.- The total number of calls to
addRange
in a single test case is at most1000
. - The total number of calls to
queryRange
in a single test case is at most5000
. - The total number of calls to
removeRange
in a single test case is at most1000
.
Approach #1: C++. [Using Vector]
class RangeModule { public: RangeModule() { } void addRange(int left, int right) { vector<pair<int, int>> new_ranges; bool inserted = false; for (const auto& it : ranges_) { if (it.first > right && !inserted) { new_ranges.emplace_back(left, right); inserted = true; } if (it.first > right || it.second < left) { new_ranges.push_back(it); } else { left = min(left, it.first); right = max(right, it.second); } } if (!inserted) new_ranges.emplace_back(left, right); ranges_.swap(new_ranges); } bool queryRange(int left, int right) { int l = 0; int r = ranges_.size() - 1; while (l <= r) { int mid = (l + r) / 2; if (ranges_[mid].first <= left && ranges_[mid].second >= right) return true; else if (ranges_[mid].first > right) { r = mid - 1; } else { l = mid + 1; } } return false; } void removeRange(int left, int right) { vector<pair<int, int>> new_ranges; for (const auto& it : ranges_) { if (it.second <= left || it.first >= right) { new_ranges.emplace_back(it); } else { if (it.first < left) new_ranges.emplace_back(it.first, left); if (it.second > right) new_ranges.emplace_back(right, it.second); } } ranges_.swap(new_ranges); } private: vector<pair<int, int>> ranges_; }; /** * Your RangeModule object will be instantiated and called as such: * RangeModule obj = new RangeModule(); * obj.addRange(left,right); * bool param_2 = obj.queryRange(left,right); * obj.removeRange(left,right); */
there are some notes about STL.
1. the difference between emplace_back and push_back.
3. the method of swap in vector.
Approach #2:
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