记录编号	9834	评测结果	AAAAAAAAAA
题目名称	[AHOI2008] 上学路线	最终得分	100
用户昵称	BYVoid	是否通过	通过
代码语言	C++	运行时间	0.574 s
提交时间	2009-04-21 17:40:27	内存使用	17.41 MiB

/* 
 * Problem: HAOI2008 parterre
 * Author: Guo Jiabao
 * Time: 2009.4.20 10:23
 * State: Solved
 * Memo: 最短路径 + 网络流
*/
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>
const int MAXN=501,MAXM=124751*4,INF=0x7FFFFFF;
using namespace std;
struct edge
{
	edge *next,*op;
	int s,t,d,c,id;
}*Vr[MAXN],*V[MAXN],ES[MAXM],*P[MAXN],*Stae[MAXN];
int N,M,EC,S,T,Ecnt;
int sp[2][MAXN],Cost[MAXM],Anse[MAXM];
bool vis[MAXN];
int Lv[MAXN],Q[MAXN],Stap[MAXN],Stop;
bool dinic_bfs()
{
	int i,j,head=0,tail=-1;
	memset(Lv,-1,sizeof(Lv));
	Q[++tail]=S;
	Lv[S]=0;
	while (head<=tail)
	{
		i=Q[head++];
		for (edge *e=V[i];e;e=e->next)
		{
			if (Lv[j=e->t]==-1 && e->c)
			{
				Lv[j]=Lv[i]+1;
				Q[++tail]=j;
				if (j==T)
					return true;
			}
		}
	}
	return false;
}
int dinic_augment()
{
	int i,j,k,delta,Flow=0;
	for (i=S;i<=T;i++)
		P[i]=V[i];
	Stap[Stop=1]=S;
	while (Stop)
	{
		i=Stap[Stop];
		if (i!=T)
		{
			for (;P[i];P[i]=P[i]->next)
				if (P[i]->c && Lv[i]+1==Lv[j=P[i]->t])
					break;
			if (P[i])
			{
				Stap[++Stop]=j;
				Stae[Stop]=P[i];
			}
			else
			{
				Stop--;
				Lv[i]=-1;
			}
		}
		else
		{
			delta=INF;
			for (j=Stop;j>=2;j--)
				if (Stae[j]->c < delta)
					delta=Stae[j]->c;
			Flow+=delta;
			for (j=Stop;j>=2;j--)
			{
				Stae[j]->c-=delta;
				Stae[j]->op->c+=delta;
				if (Stae[j]->c==0)
					k=j-1;
			}
			Stop=k;
		}
	}
	return Flow;
}
int dinic()
{
	int Flow=0;
	while (dinic_bfs())
		Flow += dinic_augment();
	return Flow;
}
inline void addedge1(int a,int b,int d,int c,int id)
{
	ES[++EC].next=Vr[a];
	Vr[a]=ES+EC; Vr[a]->t=b; Vr[a]->c=c; Vr[a]->d=d;
	ES[++EC].next=Vr[b];
	Vr[b]=ES+EC; Vr[b]->t=a; Vr[b]->c=c; Vr[b]->d=d;
	Vr[a]->op=Vr[b]; Vr[b]->op=Vr[a];
	Vr[a]->s=a; Vr[b]->s=b;
	Vr[a]->id=Vr[b]->id=id;
}
inline void addedge2(int a,int b,int c,int id)
{
	ES[++EC].next=V[a];
	V[a]=ES+EC; V[a]->t=b; V[a]->c=c;
	ES[++EC].next=V[b];
	V[b]=ES+EC; V[b]->t=a; V[b]->c=0;
	V[a]->op=V[b]; V[b]->op=V[a];
	V[a]->id=V[b]->id=id;
}
void init()
{
	int i,a,b,d,c;
	freopen("routez.in","r",stdin);
	freopen("routez.out","w",stdout);
	scanf("%d%d",&N,&M);
	EC=0;
	for (i=1;i<=M;i++)
	{
		scanf("%d%d%d%d",&a,&b,&d,&c);
		addedge1(a,b,d,c,i);
	}
}
void dijkstra(int S,int *sp)
{
	int i,j,Mini;
	memset(vis,0,sizeof(vis));
	for (i=1;i<=N;i++)
		sp[i]=INF;
	sp[i=S]=0;
	for (;i;)
	{
		vis[i]=true;
		for (edge *e=Vr[i];e;e=e->next)
		{
			j=e->t;
			if (sp[i] + e->d < sp[j])
				sp[j] = sp[i]+ e->d;
		}
		i=0;Mini=INF;
		for (j=1;j<=N;j++)
			if (!vis[j] && sp[j]<Mini)
			{
				Mini=sp[j];
				i=j;
			}
	}
}
void network()
{
	int i,a,b,p=EC;
	S=1,T=N;
	Ecnt=0;
	for (i=1;i<=p;i++)
	{
		a=ES[i].s,b=ES[i].t;
		if (sp[0][a] + ES[i].d + sp[1][b] == sp[0][N])
			addedge2(a,b,ES[i].c,ES[i].id);
	}
}
int getcut()
{
	int i,j,C=0;
	dinic_bfs();
	for (i=1;i<=N;i++)
	{
		for (edge *e=V[i];e;e=e->next)
		{
			j=e->t;
			if (Lv[i]!=-1 && Lv[j]==-1)
				Anse[++C]=e->id;
		}
	}
	return C;
}
void solve()
{
	int Ans1,Ans2,Ans3;
	dijkstra(1,sp[0]);
	dijkstra(N,sp[1]);
	Ans1=sp[0][N];
	network();
	Ans3=dinic();
	Ans2=getcut();
	printf("%d\n%d %d\n",Ans1,Ans2,Ans3);
	for (int i=1;i<=Ans2;i++)
		printf("%d\n",Anse[i]);
}
int main()
{
	init();
	solve();
	return 0;
}