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hdu 5348 MZL's endless loop

时间:2015-08-05 16:25:25      阅读:154      评论:0      收藏:0      [点我收藏+]

MZL‘s endless loop

Time Limit: 3000/1500 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 1370    Accepted Submission(s): 297
Special Judge


Problem Description
As we all kown, MZL hates the endless loop deeply, and he commands you to solve this problem to end the loop.
You are given an undirected graph with n vertexs and m edges. Please direct all the edges so that for every vertex in the graph the inequation |out degree ? in degree|1 is satisified.
The graph you are given maybe contains self loops or multiple edges.
 

Input
The first line of the input is a single integer T, indicating the number of testcases.
For each test case, the first line contains two integers n and m.
And the next m lines, each line contains two integers ui and vi, which describe an edge of the graph.
T1001n1051m3?105n2?105m7?105.
 

Output
For each test case, if there is no solution, print a single line with ?1, otherwise output m lines,.
In ith line contains a integer 1 or 01 for direct the ith edge to uivi0 for uivi.
 

Sample Input
2 3 3 1 2 2 3 3 1 7 6 1 2 1 3 1 4 1 5 1 6 1 7
 

Sample Output
1 1 1 0 1 0 1 0 1
题意 :给你一个无向图,问你是否能把图变为有向图,且满足每个点的出度与入度的差小于1.


解法:无向图一定能够满足条件。度数奇数的为欧拉路径的起点或终点。偶数的为欧拉路径中间点,或环上的点。


代码:

#include <stdio.h>  
#include <ctime>  
#include <math.h>  
#include <limits.h>  
#include <complex>  
#include <string>  
#include <functional>  
#include <iterator>  
#include <algorithm>  
#include <vector>  
#include <stack>  
#include <queue>  
#include <set>  
#include <map>  
#include <list>  
#include <bitset>  
#include <sstream>  
#include <iomanip>  
#include <fstream>  
#include <iostream>  
#include <ctime>  
#include <cmath>  
#include <cstring>  
#include <cstdio>  
#include <time.h>  
#include <ctype.h>  
#include <string.h>  
#include <assert.h>  
#pragma comment (linker, "/STACK:102400000,102400000")

using namespace std;

const int MAXN = 1e6+10;
const int MAXM = 1e6+10;

int n, m;
int x, y;

//////////////
struct Edge
{
	int to, next;
	int index;
	bool flag;
}edge[MAXM];

int head[MAXM], tot;
int sum_du[MAXN];//总度数
int du[MAXN][2];//d[i][0] 入度 d[i][1]出度
int ans[MAXM];//答案

void addedge(int u, int v, int index)
{
	edge[tot].to = v;
	edge[tot].flag = false;
	edge[tot].index = index;
	edge[tot].next = head[u];
	head[u] = tot++;
}

void init()
{
	tot = 0;
	memset(head, -1, sizeof(head));
	memset(du, 0, sizeof(du));
	memset(sum_du,0,sizeof(sum_du));
	memset(ans,-1,sizeof(ans));
}
///////////////////

void dfs(int u,int ok)
{
	for (int i = head[u]; i != -1; i = edge[i].next)
	{
		if (edge[i].flag)//访问过的边  删除
		{
			head[u] = edge[i].next;
			continue;
		}
		int v = edge[i].to;
		if (u != v && du[v][ok^1] > du[v][ok])
			continue;
		/////////////
		edge[i].flag = true;
		edge[i ^ 1].flag = true;
		if (i % 2  == 1)
			ans[i / 2] = ok ^ 1;
		else
			ans[i / 2] = ok;

		du[u][ok]++;
		du[v][ok ^ 1]++;
		head[u] = edge[i].next;//删边
		dfs(v,ok);
		break;
	}
}

int main()
{
	int t;
	scanf("%d",&t);
	while (t--)
	{
		scanf("%d %d",&n,&m);
		init();
		for (int i = 0; i < m; i++)
		{
			scanf("%d%d",&x,&y);
			addedge(x, y, i);
			addedge(y, x, i);
			sum_du[x]++;
			sum_du[y]++;
		}
		for (int i = 1; i <= n; i++)
		{
			while (du[i][0] + du[i][1] < sum_du[i])
			{
				if (du[i][0] <= du[i][1])
					dfs(i, 0);//正向走
				else
					dfs(i, 1);//反向走
			}
		}
		for (int i = 0; i < m; i++)
			printf("%d\n",ans[i]);
	}
	return 0;
}




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hdu 5348 MZL's endless loop

原文:http://blog.csdn.net/u014427196/article/details/47297889

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