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自己解答

Posted by HouXran at 2007-08-07 23:23:10 on Problem 1158
In Reply To:bellman单源最短路径的思路,WA! 望高人指点。(内含代码) Posted by:HouXran at 2007-08-07 18:07:41
在判断from到to的时间返回的k时,如果k=-1,即不可达时不做任何操作。


> #include <stdio.h>
> #include <string.h>
> 
> #define VN 303
> #define AN 28003
> #define MAX 900000000
> 
> int remaind[VN],du[VN][2];
> int dis[VN];
> 
> typedef struct
> {
> 	int arcnum;
> 	int vexnum;      
> 	int gra[VN][VN]; //gra[i][j]记录从i到j的时间
> }graph;
> graph G;
> 
> int arc[AN][2];  //记录第i个灯B和P颜色的周期,B存于arc[i][0],P存于varc[i][1]
> int light[VN];  //记录起始时各灯的颜色,0:B  1:P
> int begin,end;  //起始位置和终止位置
> 
> int tim(int from,int to,int ti)
> {
> 	//返回从from到to点需要花费的时间,如果不可达则返回-1
> 
> 	int a,b,p,ff,tt;
> 	int re1,re2,ll1,ll2;
> 
> 	tt=ti;
> 	b=du[from][0];
> 	p=du[from][1];
> 	ll1=light[from];
> 	re1=remaind[from];
> 
> 	///////////////////////////
> 	if(ti<re1)
> 	{
> 		re1=re1-ti;
> 	}
> 	else
> 	{
> 		ti-=re1;
> 		ti=ti%(p+b);
> 		if(ll1==0) a=p;
> 		else a=b;
> 		if(ti<a)
> 		{
> 			re1=a-ti;
> 			ll1=(ll1+1)%2;
> 		}
> 		else
> 		{
> 			re1=b+p-ti;
> 		}
> 	}
> 
> 	ti=tt;
> 	b=du[to][0];
> 	p=du[to][1];
> 	ll2=light[to];
> 	re2=remaind[to];
> 	if(ti<re2)
> 	{
> 		re2=re2-ti;
> 	}
> 	else
> 	{
> 		ti-=re2;
> 		ti=ti%(p+b);
> 		if(ll2==0) a=p;
> 		else a=b;
> 		if(ti<a)
> 		{
> 			re2=a-ti;
> 			ll2=(ll2+1)%2;
> 		}
> 		else
> 		{
> 			re2=b+p-ti;
> 		}
> 	}
> 
> 	//到这里求出时间ti时,from点和to点的灯的颜色和剩余时间
> 	
> 	if(ll1==ll2)   //如果颜色相同则返回走路的时间
> 		return G.gra[from][to];
> 	else if(re1!=re2) //如果颜色不同,灯改变颜色的剩余时间不同
> 	{					//返回两者较小的+走路时间
> 		a=re1;
> 		if(re2<re1)
> 			a=re2;
> 		return a+G.gra[from][to];
> 	}
> 	else //如果剩余时间相同,两个灯的下个颜色的周期不同
> 	{			//返回剩余时间+较小的周期+走路时间
> 		ll1=(ll1+1)%2;
> 		ll2=(ll2+1)%2;
> 		if(du[from][ll1]!=du[to][ll2])
> 		{
> 			a=du[from][ll1];
> 			if(du[from][ll1]>du[to][ll2])
> 				a=du[to][ll2];
> 			return a+re1+G.gra[from][to];
> 		}
> 		else  //如果下一个周期相同,再下一个周期不同
> 		{		//返回剩余时间+下一个周期的时间+再下一个周期中较小的时间+走路时间
> 			ff=du[from][ll1];
> 			ll1=(ll1+1)%2;
> 			ll2=(ll2+1)%2;
> 			if(du[from][ll1]!=du[to][ll2])
> 			{
> 				a=du[from][ll1];
> 				if(du[from][ll1]>du[to][ll2])
> 					a=du[to][ll2];
> 				return ff+a+re1+G.gra[from][to];
> 			}
> 			else return -1;   //如果仍然相同,则不可以通过,返回-1
> 		}
> 	}
> }
> 
> 
> void bellman()
> {
> 	 //单源最短路径的bellman-ford算法
> 	int i,j,k;
> 	bool sign;
> 	for(i=0;i<=G.vexnum;i++)
> 		dis[i]=MAX;
> 	dis[begin]=0;
> 	sign=true;
> 	for(i=1;i<=G.vexnum && sign;i++)
> 	{
> 		sign=false;
> 		for(j=1;j<=G.arcnum;j++)
> 		{
> 			if(dis[arc[j][0]]<MAX)
> 			{
> 				k=tim(arc[j][0],arc[j][1],dis[arc[j][0]]);
> 				if(dis[arc[j][1]]>dis[arc[j][0]]+k)
> 				{
> 					dis[arc[j][1]]=dis[arc[j][0]]+k;
> 					sign=true;
> 				}
> 			}
> 		}
> 	}
> }
> 
> 
> int main()
> {
> 	int i,k,m,n;
> 	int b,e,v;
> 	char s[5];
> 	int po,cb,cp;
> 
> 	scanf("%d%d",&begin,&end);
> 	scanf("%d%d",&n,&m);
> 	memset(&G,0,sizeof(graph));
> 	G.vexnum=n;
> 	G.arcnum=2*m;
> 	for(i=1;i<=n;i++)
> 	{
> 		scanf("%s%d%d%d",s,&po,&cb,&cp);
> 		if(s[0]=='B') light[i]=0;
> 		else light[i]=1;
> 		remaind[i]=po;
> 		du[i][0]=cb;
> 		du[i][1]=cp;
> 	}
> 	k=1;
> 	for(i=0;i<m;i++)
> 	{
> 		scanf("%d%d%d",&b,&e,&v);
> 		arc[k][0]=b;
> 		arc[k][1]=e;
> 		G.gra[b][e]=v;
> 		k++;
> 		arc[k][0]=e;
> 		arc[k][1]=b;
> 		G.gra[e][b]=v;
> 		k++;
> 	}
> 	bellman();
> 	if(dis[end]==MAX)
> 		printf("0\n");
> 	else
> 		printf("%d\n",dis[end]);
> 	return 0;
> }
> 
> 

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