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,事实上不难....

可是说实话,如今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。应该先推断i是不是能够搜(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,然后推断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。确保时间小于全部的未訪问的结点的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)

事实上剪枝思路跟我一样,可是比我的更好

倘若搜到当前结点,检查全部的未訪问的结点,假设不管以哪个未訪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并且少了非常多反复

//#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;
}
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