Given a collection of intervals, find the minimum number of intervals you need to remove to make the rest of the intervals non-overlapping.
Note:
- You may assume the interval's end point is always bigger than its start point.
- Intervals like [1,2] and [2,3] have borders "touching" but they don't overlap each other.
Example 1:
Input: [ [1,2], [2,3], [3,4], [1,3] ] Output: 1 Explanation: [1,3] can be removed and the rest of intervals are non-overlapping.
Example 2:
Input: [ [1,2], [1,2], [1,2] ] Output: 2 Explanation: You need to remove two [1,2] to make the rest of intervals non-overlapping.
Example 3:
Input: [ [1,2], [2,3] ] Output: 0 Explanation: You don't need to remove any of the intervals since they're already non-overlapping.
NOTE: input types have been changed on April 15, 2019. Please reset to default code definition to get new method signature.
这道题给了我们一堆区间，让求需要至少移除多少个区间才能使剩下的区间没有重叠，那么首先要给区间排序，根据每个区间的 start 来做升序排序，然后开始要查找重叠区间，判断方法是看如果前一个区间的 end 大于后一个区间的 start，那么一定是重复区间，此时结果 res 自增1，我们需要删除一个，那么此时究竟该删哪一个呢，为了保证总体去掉的区间数最小，我们去掉那个 end 值较大的区间，而在代码中，我们并没有真正的删掉某一个区间，而是用一个变量 last 指向上一个需要比较的区间，我们将 last 指向 end 值较小的那个区间；如果两个区间没有重叠，那么此时 last 指向当前区间，继续进行下一次遍历，参见代码如下：
解法一：
class Solution {
public:
int eraseOverlapIntervals(vector<vector<int>>& intervals) {
int res = , n = intervals.size(), last = ;
sort(intervals.begin(), intervals.end());
for (int i = ; i < n; ++i) {
if (intervals[i][] < intervals[last][]) {
++res;
if (intervals[i][] < intervals[last][]) last = i;
} else {
last = i;
}
}
return res;
}
};
我们也可以对上面代码进行简化，主要利用三元操作符来代替 if 从句，参见代码如下：
解法二：
class Solution {
public:
int eraseOverlapIntervals(vector<vector<int>>& intervals) {
if (intervals.empty()) return ;
sort(intervals.begin(), intervals.end());
int res = , n = intervals.size(), endLast = intervals[][];
for (int i = ; i < n; ++i) {
int t = endLast > intervals[i][] ? : ;
endLast = t == ? min(endLast, intervals[i][]) : intervals[i][];
res += t;
}
return res;
}
};
Github 同步地址：
https://github.com/grandyang/leetcode/issues/435
类似题目：
Data Stream as Disjoint Intervals
Minimum Number of Arrows to Burst Balloons
参考资料：
https://leetcode.com/problems/non-overlapping-intervals/
https://leetcode.com/problems/non-overlapping-intervals/discuss/91713/Java%3A-Least-is-Most
https://leetcode.com/problems/non-overlapping-intervals/discuss/91700/Concise-C%2B%2B-Solution