记录编号	97953	评测结果	AAAAAAAAAA
题目名称	导弹拦截	最终得分	100
用户昵称	cstdio	是否通过	通过
代码语言	C++	运行时间	0.062 s
提交时间	2014-04-21 11:46:50	内存使用	0.36 MiB

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
#include<cmath>
#include<vector>
using namespace std;
const int SIZEN=1010;
class POINT{
public:
	int x,y,z;
};
bool inc(POINT a,POINT b){
	return a.x<b.x&&a.y<b.y&&a.z<b.z;
}
bool noninc(POINT a,POINT b){
	return a.x>=b.x&&a.y>=b.y&&a.z>=b.z;
}
bool comp(POINT a,POINT b){
	if(a.x<b.x) return true;
	if(a.x>b.x) return false;
	if(a.y<b.y) return true;
	if(a.y>b.y) return false;
	return a.z<b.z;
}
int N;
POINT P[SIZEN];
int LISlen(bool (*cmp)(POINT,POINT)){
	//cmp(前,后)一直true的最长序列
	int f[SIZEN]={0};
	int ans=0;
	for(int i=1;i<=N;i++){
		f[i]=0;
		for(int j=1;j<i;j++){
			if(cmp(P[j],P[i])){
				//cout<<j<<" "<<i<<endl;
				f[i]=max(f[i],f[j]);
			}
		}
		f[i]++;
		//cout<<i<<" "<<f[i]<<endl;
		ans=max(ans,f[i]);
	}
	return ans;
}
int match[SIZEN*2]={0};
bool visit[SIZEN*2]={0};
vector<int> c[SIZEN*2];
bool findpath(int x){
	for(int i=0;i<c[x].size();i++){
		int u=c[x][i];
		if(!visit[u]){
			visit[u]=true;
			if(match[u]==-1||findpath(match[u])){
				match[u]=x;
				match[x]=u;
				return true;
			}
		}
	}
	return false;
}
int COVnum(void){
	int ans=0;
	memset(match,-1,sizeof(match));
	for(int i=1;i<=N;i++){
		memset(visit,0,sizeof(visit));
		if(findpath(i)) ans++;
	}
	return N-ans;
}
void makegraph(void){
	for(int i=1;i<=N;i++){
		for(int j=1;j<=N;j++){
			if(inc(P[i],P[j])){
				c[i].push_back(j+N);
				c[j+N].push_back(i);
			}
		}
	}
}
void work(void){
	sort(P+1,P+1+N,comp);
	printf("%d\n",LISlen(inc));
	makegraph();
	printf("%d\n",COVnum());
}
void read(void){
	scanf("%d",&N);
	for(int i=1;i<=N;i++){
		scanf("%d%d%d",&P[i].x,&P[i].y,&P[i].z);
		//cout<<P[i].x<<" "<<P[i].y<<" "<<P[i].z<<endl;
	}
}
int main(){
	freopen("bomba.in","r",stdin);
	freopen("bomba.out","w",stdout);
	read();
	work();
	return 0;
}