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题意:长方块嵌套,不能旋转,严格递增,建立二分图
求最大匹配
#include<cstdio>
#include<iostream>
#include<algorithm>
#include<cmath>
#include<set>
#include<map>
#include<string>
#include<cstring>
#include<stack>
#include<queue>
#include<vector>
#include<cstdlib>
#define lson (rt<<1),L,M
#define rson (rt<<1|1),M+1,R
#define M ((L+R)>>1)
#define cl(a,b) memset(a,b,sizeof(a));
#define LL long long
#define P pair<int,int>
#define X first
#define Y second
#define pb push_back
#define fread(zcc) freopen(zcc,"r",stdin)
#define fwrite(zcc) freopen(zcc,"w",stdout)
using namespace std;
const int maxn=805;
const int inf=999999;vector<int> G[maxn];
int matching[maxn];
bool vis[maxn];
int Nx;
bool dfs(int u){int N=G[u].size();for(int i=0;i<N;i++){int v=G[u][i];if(vis[v])continue;vis[v]=true;if(matching[v]==-1||dfs(matching[v])){matching[v]=u;return true;}}return false;
}
int hungar(){int ans=0;cl(matching,-1);for(int i=0;i<Nx;i++){cl(vis,false);if(dfs(i))ans++;}return ans;
}
struct node{int w,l,h;
}p[maxn];
int main(){int n;while(~scanf("%d",&n)&&n){for(int i=0;i<n;i++){scanf("%d%d%d",&p[i].w,&p[i].l,&p[i].h);}for(int i=0;i<n;i++){for(int j=0;j<n;j++)if(j!=i&&p[i].w<p[j].w&&p[i].l<p[j].l&&p[i].h<p[j].h){G[i].pb(j);}}Nx=n;int ans=hungar();printf("%d\n",n-ans);for(int i=0;i<=n;i++)G[i].clear();}return 0;
}
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