Problem
Given an array of meeting time intervals consisting of start and end times [[s1,e1],[s2,e2],...] (si < ei), find the minimum number of conference rooms required.
Example 1:
Input: [[0, 30],[5, 10],[15, 20]]
Output: 2
Example 2:
Input: [[7,10],[2,4]]
Output: 1
Solution
Using Array
class Solution {
public int minMeetingRooms(Interval[] intervals) {
//0, 100 ---- 1
//0, 200 ---- 2
//0, 300 ---- 3
//150, 250 -- 3
//160, 260 -- 4
//210, 310 -- 4
int n = intervals.length;
int[] startTimes = new int[n];
int[] endTimes = new int[n];
for (int i = 0; i < n; i++) {
startTimes[i] = intervals[i].start;
endTimes[i] = intervals[i].end;
}
Arrays.sort(startTimes);
Arrays.sort(endTimes);
int count = 0;
int i = 0, j = 0;
while (i < n && j < n) {
//once overlaps, room++
if (startTimes[i] < endTimes[j]) count++;
//not overlapping, release prev meeting room
else j++;
i++;
}
return count;
}
}
Using Heap
class Solution {
public int minMeetingRooms(Interval[] intervals) {
if (intervals == null || intervals.length == 0) return 0;
Arrays.sort(intervals, (a, b) -> a.start-b.start);
PriorityQueue<Interval> queue = new PriorityQueue<>((a, b) -> a.end-b.end);
/*add room for the first meeting*/
queue.add(intervals[0]);
for (int i = 1; i < intervals.length; i++) {
Interval pre = queue.poll();
Interval cur = intervals[i];
// if new meeting time overlapped, add a new room for this meeting
if (cur.start < pre.end) queue.offer(cur);
// if not overlapped, no new room for the new meeting,
// just update the ending time for the earliest-to-end room
else pre.end = cur.end;
// put this previous earliest-to-end room back back to heap,
// so that in next iteration, we get the new earliest-to-end room
queue.offer(pre);
}
return queue.size();
}
}
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