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hdu 4848 搜索+剪枝 2014西安邀请赛

http://acm.hdu.edu.cn/showproblem.php?pid=4848

比赛的时候我甚至没看这道题,其实不难....

但是说实话,现在对题意还是理解不太好......

犯的错误:
1、floy循环次序写错,

2、搜索的时候,应该先判断i是不是可以搜(就是可不可能产生解),然后标记vis[i]=1,我二逼的先标记vis[i]=1,然后判断i是不是可搜,这样肯定会导致有些时候,cnt!=n

我的剪枝方法(2546MS AC):

搜下一个结点之前,确保时间小于所有的未访问的结点的Deadline

//#pragma comment(linker, "/STACK:102400000,102400000")
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <iostream>
#include <iomanip>
#include <cmath>
#include <map>
#include <set>
#include <queue>
using namespace std;

#define ls(rt) rt*2
#define rs(rt) rt*2+1
#define ll long long
#define ull unsigned long long
#define rep(i,s,e) for(int i=s;i<e;i++)
#define repe(i,s,e) for(int i=s;i<=e;i++)
#define CL(a,b) memset(a,b,sizeof(a))
#define IN(s) freopen(s,"r",stdin)
#define OUT(s) freopen(s,"w",stdout)
const ll ll_INF = ((ull)(-1))>>1;
const double EPS = 1e-8;
const int INF = 1e9+7;
const int MAXN = 50;

int n;
int mat[MAXN][MAXN];
int dis[MAXN][MAXN];
int dead[MAXN];
void floy()
{
    repe(k,1,n)
    for(int i=1;i<=n;i++)
        repe(j,1,n)

                dis[i][j]=min(dis[i][j],dis[i][k]+dis[k][j]);
}
int ans;
int vis[MAXN];

void dfs(int u, int t, int cnt,int tmp)
{
    if(dead[u]<t || tmp>ans)return;
    if(cnt == n)
    {
        ans=min(ans,tmp);
        return;
    }
    for(int i=2;i<=n;i++)
        if(!vis[i] && dead[i]>=t+dis[u][i])
        {
            int flag=0;
            for(int j=2;j<=n;j++)
                if(!vis[j] && t+dis[u][i]>dead[j] && i!=j)
                        flag=1;
            if(flag)continue;
            vis[i]=1;
            dfs(i,t+dis[u][i],cnt+1,tmp+dis[u][i]*(n-cnt));
            vis[i]=0;
        }
}

int main()
{
    //IN("hdu4848.txt");
    while(~scanf("%d",&n))
    {
        for(int i=1;i<=n;i++)
            for(int j=1;j<=n;j++)
                scanf("%d",&mat[i][j]),dis[i][j]=mat[i][j];
        floy();
        dead[1]=INF;
        repe(i,2,n)
            scanf("%d",&dead[i]);
        ans=INF;
        CL(vis,0);
        vis[1]=1;
        dfs(1,0,1,0);
        if(ans == INF)printf("-1\n");
        else printf("%d\n",ans);
    }
    return 0;
}

网上的方法:(359ms AC)

其实剪枝思路跟我一样,但是比我的更好

倘若搜到当前结点,检查所有的未访问的结点,如果无论以哪个未访问结点为起点都不可能得到解,直接返回,相当于比我少遍历一层而且少了很多重复

//#pragma comment(linker, "/STACK:102400000,102400000")
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <iostream>
#include <iomanip>
#include <cmath>
#include <map>
#include <set>
#include <queue>
using namespace std;


#define ls(rt) rt*2
#define rs(rt) rt*2+1
#define ll long long
#define ull unsigned long long
#define rep(i,s,e) for(int i=s;i<e;i++)
#define repe(i,s,e) for(int i=s;i<=e;i++)
#define CL(a,b) memset(a,b,sizeof(a))
#define IN(s) freopen(s,"r",stdin)
#define OUT(s) freopen(s,"w",stdout)
const ll ll_INF = ((ull)(-1))>>1;
const double EPS = 1e-8;
const int INF = 1e9+7;
const int MAXN = 50;


int n;
int mat[MAXN][MAXN];
int dis[MAXN][MAXN];
int dead[MAXN];


void floy()
{
    repe(k,1,n)
    for(int i=1;i<=n;i++)
        repe(j,1,n)


                dis[i][j]=min(dis[i][j],dis[i][k]+dis[k][j]);
}
int ans;
int vis[MAXN];


void dfs(int u, int t, int cnt,int tmp)
{
    if(dead[u]<t || tmp>ans)return;
    if(cnt == n)
    {
        ans=min(ans,tmp);
        return;
    }
    for(int i=2;i<=n;i++)
        if(!vis[i] && t+dis[u][i]>dead[i])
            return;
    for(int i=2;i<=n;i++)
        if(!vis[i] && dead[i]>=t+dis[u][i])
        {
            vis[i]=1;
            dfs(i,t+dis[u][i],cnt+1,tmp+dis[u][i]*(n-cnt));
            vis[i]=0;
        }
}


int main()
{
    //IN("hdu4848.txt");
    while(~scanf("%d",&n))
    {
        for(int i=1;i<=n;i++)
            for(int j=1;j<=n;j++)
                scanf("%d",&mat[i][j]),dis[i][j]=mat[i][j];
        floy();
        dead[1]=INF;
        repe(i,2,n)
            scanf("%d",&dead[i]);
        ans=INF;
        CL(vis,0);
        vis[1]=1;
        dfs(1,0,1,0);
        if(ans == INF)printf("-1\n");
        else printf("%d\n",ans);
    }
    return 0;
}


hdu 4848 搜索+剪枝 2014西安邀请赛