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Codeforces 1249D2 Too Many Segments (hard version) 【贪心】

2019-10-25 21:41:18  阅读:524  来源: 互联网

标签:1249D2 int Many Segments 30 li segments include ri



传送门:Codeforces 1249D2


Too Many Segments (hard version)
time limit per test: 2 seconds
memory limit per test: 256 megabytes

You are given n segments on the coordinate axis OX. Segments can intersect, lie inside each other and even coincide. The i-th segment is [li;ri](liri)[li ;ri] (li≤ri)[li;ri](li≤ri) and it covers all integer points j such that lijrili≤j≤rili≤j≤ri.

The integer point is called bad if it is covered by strictly more than k segments.

Your task is to remove the minimum number of segments so that there are no bad points at all.

Input
The first line of the input contains two integers n and k (1≤k≤n≤2⋅105) — the number of segments and the maximum number of segments by which each integer point can be covered.

The next n lines contain segments. The i-th line contains two integers li and ri (1≤li≤ri≤2⋅105) — the endpoints of the i-th segment.

Output
In the first line print one integer m (0≤m≤n) — the minimum number of segments you need to remove so that there are no bad points.

In the second line print m distinct integers p1,p2,…,pm (1≤pi≤n) — indices of segments you remove in any order. If there are multiple answers, you can print any of them.

Examples
input

7 2
11 11
9 11
7 8
8 9
7 8
9 11
7 9

output

3
4 6 7 

input

5 1
29 30
30 30
29 29
28 30
30 30

output

3
1 4 5 

input

6 1
2 3
3 3
2 3
2 2
2 3
2 3

output

4
1 3 5 6 



解题思路:

以区间左端点为头,右端点由小到大排序,如果端点相同,按标号存入。

从头开始遍历每个点,判断每个点上覆盖次数,大于k时删除最长的那个区间。


AC代码:

#include<iostream>
#include<algorithm>
#include<cstring>
#include<cstdio>
#include<set>
#include<vector>
#define ll long long
#define inf 0x3f3f3f3f
using namespace std;
const int N=2e5+10;
int n,k;
struct Node
{
	int y;
	int idx;
};
bool operator<(Node a,Node b)//排序
{
	if(a.y!=b.y)
		return a.y<b.y;
	return a.idx<b.idx;
}
vector<Node> g[N];
vector<int> ans;

int main()
{
	int x,y;
	scanf("%d%d",&n,&k);
	for(int i=1;i<=n;i++)
	{
		Node p;
		scanf("%d%d",&x,&y);
		p.y=y;
		p.idx=i;
		g[x].push_back(p);
	}
	set<Node> s;
	for(int i=1;i<N;i++)
	{
		while(s.size()&&(*s.begin()).y<i)//没有被覆盖的区间删除
			s.erase(*s.begin());

		for(int j=0;j<g[i].size();j++)//存入可覆盖区间
			s.insert(g[i][j]);

		while(s.size()>k)//判断该点被覆盖次数是否超过 k
		{
			ans.push_back((*s.rbegin()).idx);//删除的区间存下
			s.erase(*s.rbegin());
		}
	}
	printf("%d\n",ans.size());
	int len=ans.size();
	for(int i=0;i<len;i++)
	{
		printf("%d%c",ans[i],i==len-1?'\n':' ');
	}
	return 0;
}

标签:1249D2,int,Many,Segments,30,li,segments,include,ri
来源: https://blog.csdn.net/weixin_43847416/article/details/102749985

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