2018牛课多校第五场E.room(km模板题)

题目链接:https://www.nowcoder.com/acm/contest/143/E

思路:要让搬寝室的人最少,也就是要让住在原寝室的人最多,所以要确定的就是现在的寝室和原来哪个寝室匹配,只要跑个最大权匹配就行了,km模板。

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <bitset>
#include <cmath>
#include <cctype>
#include <unordered_map>
#include <iostream>
#include <algorithm>
#include <string>
#include <vector>
#include <queue>
#include <map>
#include <set>
#include <sstream>
#include <iomanip>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
const ll inff = 0x3f3f3f3f3f3f3f3f;
#define FOR(i,a,b) for(int i(a);i<=(b);++i)
#define FOL(i,a,b) for(int i(a);i>=(b);--i)
#define REW(a,b) memset(a,b,sizeof(a))
#define inf int(0x3f3f3f3f)
#define si(a) scanf("%d",&a)
#define sl(a) scanf("%lld",&a)
#define sd(a) scanf("%lf",&a)
#define ss(a) scanf("%s",a)
#define mod ll(998244353)
#define pb push_back
#define lc d<<1
#define rc d<<1|1
#define Pll pair<ll,ll>
#define P pair<int,int>
#define pi acos(-1)
int g[108][108],cy[108],cx[108],qw[108],slack[108],n,a[108][4],b[108][4];
bool visx[108],visy[108];
bool dfs(int u)
{
    visx[u]=1;
    FOR(i,1,n)
    {
        if(visy[i]) continue;
        int tmp=cx[u]+cy[i]-g[u][i];
        if(tmp==0)
        {
            visy[i]=1;
            if(qw[i]==-1||dfs(qw[i]))
            {
                qw[i]=u;
                return 1;
            }
        }
        else slack[i]=min(slack[i],tmp);
    }
    return 0;
}
int km()
{
    REW(qw,-1),REW(cy,0);
    FOR(i,1,n)
    {
        cx[i]=-inf;
        FOR(j,1,n) cx[i]=max(cx[i],g[i][j]);
    }
    FOR(i,1,n)
    {
        REW(slack,inf);
        while(1)
        {
            REW(visx,0),REW(visy,0);
            if(dfs(i)) break;
            int d=inf;
            FOR(j,1,n) if(!visy[j]) d=min(d,slack[j]);
            FOR(j,1,n)
            {
                if(visx[j]) cx[j]-=d;
                if(visy[j]) cy[j]+=d;
                else slack[j]-=d;
            }
        }
    }
    int ans=0;
    FOR(i,1,n) ans+=g[qw[i]][i];
    return ans;
}
int main()
{
    cin.tie(0);
    cout.tie(0);
    si(n);
    FOR(i,1,n)
     FOR(j,0,3) si(a[i][j]);
    FOR(i,1,n)
     FOR(j,0,3) si(b[i][j]);
    FOR(i,1,n)
    {
        FOR(j,1,n)
        {
            int s=0;
            FOR(k,0,3)
            {
                FOR(z,0,3)
                {
                    if(a[i][k]==b[j][z]) s++;
                }
            }
            g[i][j]=s;
        }
    }
    cout<<4*n-km()<<endl;
    return 0;
}

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转载自blog.csdn.net/qq_40858062/article/details/81449374
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