HDOJ 5385 The path 构造

The path

Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 521    Accepted Submission(s): 190
Special Judge

Problem Description

You have a connected directed graph.Let  d(x)  be the length of the shortest path from  1  to  x .Specially  d(1)=0 .A graph is good if there exist  x  satisfy  d(1)<d(2)<....d(x)>d(x+1)>...d(n) .Now you need to set the length of every edge satisfy that the graph is good.Specially,if  d(1)<d(2)<..d(n) ,the graph is good too.

The length of one edge must  ∈   [1,n]

It's guaranteed that there exists solution.

 

Input

There are multiple test cases. The first line of input contains an integer  T , indicating the number of test cases. For each test case:
The first line contains two integers n and m,the number of vertexs and the number of edges.Next m lines contain two integers each,  ui  and  vi   (1≤ui,vi≤n) , indicating there is a link between nodes  ui  and  vi  and the direction is from  ui  to  vi .

∑n≤3∗105 , ∑m≤6∗105
1≤n,m≤105

 

Output

For each test case,print  m  lines.The i-th line includes one integer:the length of edge from  ui  to  vi

 

Sample Input

   
   
   
   

    
    
    
    2
4 6
1 2
2 4
1 3
1 2
2 2
2 3
4 6
1 2
2 3
1 4
2 1
2 1
2 1
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    1
2
2
1
4
4
1
1
3
4
4
4
   
   
   
   

 

Author

SXYZ

 

Source

2015 Multi-University Training Contest 8

 

/* ***********************************************
Author        :CKboss
Created Time  :2015年08月15日 星期六 12时15分02秒
File Name     :HDOJ5385_2.cpp
************************************************ */

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstdlib>
#include <vector>
#include <queue>
#include <set>
#include <map>

using namespace std;

const int maxn=100100;

struct P
{
	int from,to,len;
}ep[maxn];

struct Edge
{
	int to,next,id;
}edge[maxn];

int Adj[maxn],Size;
int n,m;
int Time[maxn];
bool vis[maxn];

void init()
{
	memset(Time,0,sizeof(Time));
	memset(vis,false,sizeof(vis));
	memset(Adj,-1,sizeof(Adj)); 
	Size=0;
}

void Add_Edge(int u,int v,int id)
{
	edge[Size].to=v;
	edge[Size].id=id;
	edge[Size].next=Adj[u];
	Adj[u]=Size++;
}

bool ans[maxn];

void color(int u,int t)
{
	Time[u]=t;
	for(int i=Adj[u];~i;i=edge[i].next)
	{
		int v=edge[i].to;
		int eid=edge[i].id;
		if(vis[v]==true) continue;
		ans[eid]=true;
		vis[v]=true;
	}
}

int main()
{
	//freopen("in.txt","r",stdin);
	//freopen("out.txt","w",stdout);

	int T_T;
	scanf("%d",&T_T);
	while(T_T--)
	{
		init();
		scanf("%d%d",&n,&m);
		for(int i=0,u,v;i<m;i++)
		{
			scanf("%d%d",&u,&v);
			Add_Edge(u,v,i);
			ep[i].from=u; ep[i].to=v; ep[i].len=-1;
		}

		int ti=1;
		int s=1,e=n;
		vis[1]=true; Time[1]=1;

		memset(ans,false,sizeof(ans));

		while(s<=e)
		{
			if(vis[s]) color(s++,ti++);
			if(vis[e]) color(e--,ti++);
		}

		for(int i=0;i<m;i++)
		{
			if(ans[i]) printf("%d\n",abs(Time[ep[i].from]-Time[ep[i].to]));
			else printf("%d\n",n);
		}
	}
    
    return 0;
}