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中等
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第 15 场双周赛 Q2
数组
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English Version

题目描述

给你一个区间列表,请你删除列表中被其他区间所覆盖的区间。

只有当 c <= a 且 b <= d 时,我们才认为区间 [a,b) 被区间 [c,d) 覆盖。

在完成所有删除操作后,请你返回列表中剩余区间的数目。

 

示例:

输入:intervals = [[1,4],[3,6],[2,8]]
输出:2
解释:区间 [3,6] 被区间 [2,8] 覆盖,所以它被删除了。

 

提示:​​​​​​

  • 1 <= intervals.length <= 1000
  • 0 <= intervals[i][0] < intervals[i][1] <= 10^5
  • 对于所有的 i != jintervals[i] != intervals[j]

解法

方法一

Python3

class Solution:
    def removeCoveredIntervals(self, intervals: List[List[int]]) -> int:
        intervals.sort(key=lambda x: (x[0], -x[1]))
        cnt, pre = 1, intervals[0]
        for e in intervals[1:]:
            if pre[1] < e[1]:
                cnt += 1
                pre = e
        return cnt

Java

class Solution {
    public int removeCoveredIntervals(int[][] intervals) {
        Arrays.sort(intervals, (a, b) -> a[0] - b[0] == 0 ? b[1] - a[1] : a[0] - b[0]);
        int[] pre = intervals[0];
        int cnt = 1;
        for (int i = 1; i < intervals.length; ++i) {
            if (pre[1] < intervals[i][1]) {
                ++cnt;
                pre = intervals[i];
            }
        }
        return cnt;
    }
}

C++

class Solution {
public:
    int removeCoveredIntervals(vector<vector<int>>& intervals) {
        sort(intervals.begin(), intervals.end(), [](const vector<int>& a, const vector<int>& b) { return a[0] == b[0] ? b[1] < a[1] : a[0] < b[0]; });
        int cnt = 1;
        vector<int> pre = intervals[0];
        for (int i = 1; i < intervals.size(); ++i) {
            if (pre[1] < intervals[i][1]) {
                ++cnt;
                pre = intervals[i];
            }
        }
        return cnt;
    }
};

Go

func removeCoveredIntervals(intervals [][]int) int {
	sort.Slice(intervals, func(i, j int) bool {
		if intervals[i][0] == intervals[j][0] {
			return intervals[j][1] < intervals[i][1]
		}
		return intervals[i][0] < intervals[j][0]
	})
	cnt := 1
	pre := intervals[0]
	for i := 1; i < len(intervals); i++ {
		if pre[1] < intervals[i][1] {
			cnt++
			pre = intervals[i]
		}
	}
	return cnt
}