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2406. Divide Intervals Into Minimum Number of Groups 👍

  • Time: $O(n\log n)$
  • Space: $O(n)$
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class Solution {
 public:
  // Similar to 253. Meeting Rooms II
  int minGroups(vector<vector<int>>& intervals) {
    // Stores `right`s.
    priority_queue<int, vector<int>, greater<>> minHeap;

    ranges::sort(intervals);

    for (const vector<int>& interval : intervals) {
      // There's no overlap, so we can reuse the same group.
      if (!minHeap.empty() && interval[0] > minHeap.top())
        minHeap.pop();
      minHeap.push(interval[1]);
    }

    return minHeap.size();
  }
};

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class Solution {
  // Similar to 253. Meeting Rooms II
  public int minGroups(int[][] intervals) {
    // Stores `right`s.
    Queue<Integer> minHeap = new PriorityQueue<>();

    Arrays.sort(intervals, Comparator.comparingInt(interval -> interval[0]));

    for (int[] interval : intervals) {
      // There's no overlap, so we can reuse the same group.
      if (!minHeap.isEmpty() && interval[0] > minHeap.peek())
        minHeap.poll();
      minHeap.offer(interval[1]);
    }

    return minHeap.size();
  }
}

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class Solution:
  # Similar to 253. Meeting Rooms II
  def minGroups(self, intervals: list[list[int]]) -> int:
    minHeap = []  # Stores `right`s.

    for left, right in sorted(intervals):
      # There's no overlap, so we can reuse the same group.
      if minHeap and left > minHeap[0]:
        heapq.heappop(minHeap)
      heapq.heappush(minHeap, right)

    return len(minHeap)