|
| 1 | +// Time: O(n) ~ O(nlogn) |
| 2 | +// Space: O(n) |
| 3 | + |
| 4 | +class Solution { |
| 5 | +public: |
| 6 | + vector<int> minAvailableDuration(vector<vector<int>>& slots1, vector<vector<int>>& slots2, int duration) { |
| 7 | + vector<pair<int, int>> min_heap; |
| 8 | + for (const auto& slot : slots1) { |
| 9 | + if (slot[1] - slot[0] >= duration) { |
| 10 | + min_heap.emplace_back(slot[0], slot[1]); |
| 11 | + } |
| 12 | + } |
| 13 | + for (const auto& slot : slots2) { |
| 14 | + if (slot[1] - slot[0] >= duration) { |
| 15 | + min_heap.emplace_back(slot[0], slot[1]); |
| 16 | + } |
| 17 | + } |
| 18 | + make_heap(min_heap.begin(), min_heap.end(), greater<>()); // Time: O(n) |
| 19 | + while (min_heap.size() > 1) { |
| 20 | + pop_heap(min_heap.begin(), min_heap.end(), greater<>()); // Time: O(logn) |
| 21 | + const auto left = min_heap.back(); |
| 22 | + min_heap.pop_back(); |
| 23 | + pop_heap(min_heap.begin(), min_heap.end(), greater<>()); |
| 24 | + const auto right = min_heap.back(); |
| 25 | + min_heap.pop_back(); |
| 26 | + min_heap.emplace_back(right); |
| 27 | + push_heap(min_heap.begin(), min_heap.end(), greater<>()); |
| 28 | + if (left.second - right.first >= duration) { |
| 29 | + return {right.first, right.first + duration}; |
| 30 | + } |
| 31 | + } |
| 32 | + return {}; |
| 33 | + } |
| 34 | +}; |
| 35 | + |
| 36 | +// Time: O(nlogn) |
| 37 | +// Space: O(n) |
| 38 | +class Solution2 { |
| 39 | +public: |
| 40 | + vector<int> minAvailableDuration(vector<vector<int>>& slots1, vector<vector<int>>& slots2, int duration) { |
| 41 | + priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> min_heap; |
| 42 | + for (const auto& slot : slots1) { |
| 43 | + if (slot[1] - slot[0] >= duration) { |
| 44 | + min_heap.emplace(slot[0], slot[1]); |
| 45 | + } |
| 46 | + } |
| 47 | + for (const auto& slot : slots2) { |
| 48 | + if (slot[1] - slot[0] >= duration) { |
| 49 | + min_heap.emplace(slot[0], slot[1]); |
| 50 | + } |
| 51 | + } |
| 52 | + while (min_heap.size() > 1) { |
| 53 | + const auto left = min_heap.top(); |
| 54 | + min_heap.pop(); |
| 55 | + const auto right = min_heap.top(); |
| 56 | + if (left.second - right.first >= duration) { |
| 57 | + return {right.first, right.first + duration}; |
| 58 | + } |
| 59 | + } |
| 60 | + return {}; |
| 61 | + } |
| 62 | +}; |
| 63 | + |
| 64 | +// Time: O(nlogn) |
| 65 | +// Space: O(n) |
| 66 | +class Solution3 { |
| 67 | +public: |
| 68 | + vector<int> minAvailableDuration(vector<vector<int>>& slots1, vector<vector<int>>& slots2, int duration) { |
| 69 | + sort(slots1.begin(), slots1.end()); |
| 70 | + sort(slots2.begin(), slots2.end()); |
| 71 | + int i = 0, j = 0; |
| 72 | + while (i < slots1.size() && j < slots2.size()) { |
| 73 | + const auto& left = max(slots1[i][0], slots2[j][0]); |
| 74 | + const auto& right = min(slots1[i][1], slots2[j][1]); |
| 75 | + if (left + duration <= right) { |
| 76 | + return {left, left + duration}; |
| 77 | + } |
| 78 | + if (slots1[i][1] < slots2[j][1]) { |
| 79 | + ++i; |
| 80 | + } else { |
| 81 | + ++j; |
| 82 | + } |
| 83 | + } |
| 84 | + return {}; |
| 85 | + } |
| 86 | +}; |
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