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codeforce C. Valera and Elections (DFS)

2018年04月29日 ⁄ 综合 ⁄ 共 2958字 ⁄ 字号 评论关闭

给你几组数代表那两个城镇有路连接和路的好坏。。

要找到最少的从城镇1到x的x集合能把所有的坏的路都找到并修好。。

C. Valera and Elections
time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

The city Valera lives in is going to hold elections to the city Parliament.

The city has n districts and n - 1 bidirectional
roads. We know that from any district there is a path along the roads to any other district. Let's enumerate all districts in some way by integers from 1 to n,
inclusive. Furthermore, for each road the residents decided if it is the problem road or not. A problem road is a road that needs to be repaired.

There are n candidates running the elections. Let's enumerate all candidates in some way by integers from 1 to n,
inclusive. If the candidate number i will be elected in the city Parliament, he will perform exactly one promise — to repair all problem roads on the way
from the i-th district to the district 1, where the city
Parliament is located.

Help Valera and determine the subset of candidates such that if all candidates from the subset will be elected to the city Parliament, all problem roads in the city will be repaired. If there are several such subsets, you should choose the subset consisting
of the minimum number of candidates.

Input

The first line contains a single integer n (2 ≤ n ≤ 105)
— the number of districts in the city.

Then n - 1 lines follow. Each line contains the description of a city road as three positive integers xiyiti (1 ≤ xi, yi ≤ n1 ≤ ti ≤ 2)
— the districts connected by the i-th bidirectional road and the road type. If ti equals
to one, then the i-th road isn't the problem road; if tiequals
to two, then the i-th road is the problem road.

It's guaranteed that the graph structure of the city is a tree.

Output

In the first line print a single non-negative number k — the minimum size of the required subset of candidates. Then on the second line print k space-separated
integers a1, a2, ... ak —
the numbers of the candidates that form the required subset. If there are multiple solutions, you are allowed to print any of them.

Sample test(s)
input
5
1 2 2
2 3 2
3 4 2
4 5 2
output
1
5 
input
5
1 2 1
2 3 2
2 4 1
4 5 1
output
1
3 
input
5
1 2 2
1 3 2
1 4 2
1 5 2
output
4
5 4 3 2 

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#define MAX 101000
struct snode{
    int to,w,next;
}Tree[MAX<<2];
int visit[MAX],pre[MAX],sum[MAX],Index,Answer[MAX],Ansn;
void ADD_edge(int a,int b,int c)
{
    Tree[Index].w=c;
    Tree[Index].to=b;
    Tree[Index].next=pre[a];
    pre[a]=Index++;
}
int DFS(int star,int w)
{
    visit[star]=1;
    int i,v,pd=0,kk=0;
    for(i=pre[star];i!=-1;i=Tree[i].next)
    {
        if(visit[Tree[i].to])
            continue;
        sum[star]+=DFS(Tree[i].to,Tree[i].w);
    }
    if(w==2||sum[star]>=1)//这条路坏的||这路的子节点修好了
    {
        if(sum[star]==0)
            Answer[Ansn++]=star;
        return 1;
    }
    else
        return 0;
}
int main()
{
    int n,i,j,a,b,c,ans;
    while(scanf("%d",&n)!=EOF)
    {
        Index=ans=Ansn=0;
        memset(pre,-1,sizeof(pre));
        memset(sum,0,sizeof(sum));
        memset(visit,0,sizeof(visit));
        for(i=1;i<n;i++)
        {
            scanf("%d %d %d",&a,&b,&c);
            ADD_edge(a,b,c);
            ADD_edge(b,a,c);//双向
        }
        visit[1]=1;
        ans+=DFS(1,0);//从节点1开始搜
        printf("%d\n",Ansn);
        for(int i=0;i<Ansn;i++)
        {
            printf("%d ",Answer[i]);
          //  if(i!=Ansn)
                //printf(" ");
        }
        puts("");//换行作用
    }
   //printf("%d\n",MAX<<2);
}

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