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  • bzoj1674 [Usaco2005]Part Acquisition

    Description

    The cows have been sent on a mission through space to acquire a new milking machine for their barn. They are flying through a cluster of stars containing N (1 <= N <= 50,000) planets, each with a trading post. The cows have determined which of K (1 <= K <= 1,000) types of objects (numbered 1..K) each planet in the cluster desires, and which products they have to trade. No planet has developed currency, so they work under the barter system: all trades consist of each party trading exactly one object (presumably of different types). The cows start from Earth with a canister of high quality hay (item 1), and they desire a new milking machine (item K). Help them find the best way to make a series of trades at the planets in the cluster to get item K. If this task is impossible, output -1.

    Input

    * Line 1: Two space-separated integers, N and K. * Lines 2..N+1: Line i+1 contains two space-separated integers, a_i and b_i respectively, that are planet i's trading trading products. The planet will give item b_i in order to receive item a_i.

    Output

    * Line 1: One more than the minimum number of trades to get the milking machine which is item K (or -1 if the cows cannot obtain item K).

    Sample Input

    6 5 //6个星球,希望得到5,开始时你手中有1号货物.
    1 3 //1号星球,希望得到1号货物,将给你3号货物
    3 2
    2 3
    3 1
    2 5
    5 4

    Sample Output

    4


    OUTPUT DETAILS:

    The cows possess 4 objects in total: first they trade object 1 for
    object 3, then object 3 for object 2, then object 2 for object 5.

    题意是有n个星球,在每个星球上你可以用a[i]物品换b[i]物品,要求用最少步数换到m。

    初看连题目都没看懂……觉得好像很难的样子……看懂之后发现,这不是水题吗

    转成有n条有向边,边权为1,求1到m的最短路

    #include<cstdio>
    #include<cstring>
    struct edge{
    	int to,next,v;
    }e[100010];
    int head[1010];
    int dist[1010];
    int ans[1010];
    bool mrk[1010];
    int q[500010];
    int n,m,x,y,cnt,len,t,w=1;
    inline void ins(int u,int v,int w)
    {
    	e[++cnt].to=v;
    	e[cnt].v=w;
    	e[cnt].next=head[u];
    	head[u]=cnt;
    }
    inline int read()
    {
        int x=0,f=1;char ch=getchar();
        while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
        while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
        return x*f;
    }
    inline void spfa()
    {
    	memset(dist,127/3,sizeof(dist));
    	q[1]=1;mrk[1]=1;dist[1]=0;
    	while (t<w)
    	{
    		int now=q[++t];
    		for (int i=head[now];i;i=e[i].next)
    		  if (dist[e[i].to]>dist[now]+e[i].v)
    		  {
    		  	dist[e[i].to]=dist[now]+e[i].v;
    		  	if (!mrk[e[i].to])
    		  	{
    		  		mrk[e[i].to]=1;
    		  		q[++w]=e[i].to;
    		  	}
    		  }
    		mrk[now]=0;
    	}
    }
    int main()
    {
    	m=read();n=read();
    	for (int i=1;i<=m;i++)
    	  {
    	  	x=read();y=read();
    	  	ins(x,y,1);
    	  }
    	spfa();
    	if (dist[n]>10000)dist[n]=-2;
    	printf("%d
    ",dist[n]+1);
    	
    }


    ——by zhber,转载请注明来源
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  • 原文地址:https://www.cnblogs.com/zhber/p/4036022.html
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