题解 SP1841 PPATH - Prime Path

Posted lhm-

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模拟赛考到了这个题,但我傻傻的用了(DFS),于是爆了零

后来才想明白,因为搜索树的分支很多,但答案的深度却又没有那么深,所以在这里(BFS),而(DFS)一路搜到底的做法则会稳稳地(T)飞掉

其他细节请看代码注释

(code:)

#include<bits/stdc++.h>
#define maxn 10010
using namespace std;
template<typename T> inline void read(T &x)
{
    x=0;char c=getchar();bool flag=false;
    while(!isdigit(c)){if(c=='-')flag=true;c=getchar();}
    while(isdigit(c)){x=x*10+(c^48);c=getchar();}
    if(flag)x=-x;
}
bool 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0,0,0,0,0,0};
bool vis[maxn];//质数表,为搜索判断质数
int m,a,b,ans;
struct node
{
    int num;
    int cnt;
};
void bfs()
{
    queue<node> q;
    q.push((node){a,0});
    while(!q.empty())
    {
        int x=q.front().num,cnt=q.front().cnt;
        if(x==b)//找到答案,退出循环,因BFS的性质,此时一定为最优解
        {
            ans=cnt;
            break;
        }
        int base=1,y,to;
        for(int i=1;i<=4;++i)//循环将哪一位更改
        {
            y=x-((x/base)%10)*base;
            for(int j=0;j<=9;++j)//循环改成什么数字 
            {
                if(i==4&&j==0) continue;
                to=y+j*base;
                if(pr[to]&&!vis[to])
                {
                    vis[to]=true;
                    q.push((node){to,cnt+1});
                }
            }
            base*=10;
        }
        q.pop();
    }
}
void clear()//多组数据,清空
{
    ans=-1;
    memset(vis,0,sizeof(vis));
}
int main()
{
    read(m);
    while(m--)
    {
        clear();
        read(a),read(b);
        bfs();
        if(ans==-1)
        puts("Impossible");//若没有答案
        else
        printf("%d
",ans);
    }
    return 0;
}

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