Regional Changchun Online--Ponds

网址：http://acm.hdu.edu.cn/showproblem.php?pid=5438

Ponds

Time Limit: 1500/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 376    Accepted Submission(s): 116

Problem Description

Betty owns a lot of ponds, some of them are connected with other ponds by pipes, and there will not be more than one pipe between two ponds. Each pond has a value v .

Now Betty wants to remove some ponds because she does not have enough money. But each time when she removes a pond, she can only remove the ponds which are connected with less than two ponds, or the pond will explode.

Note that Betty should keep removing ponds until no more ponds can be removed. After that, please help her calculate the sum of the value for each connected component consisting of a odd number of ponds

 

Input

The first line of input will contain a number T(1≤T≤30) which is the number of test cases.

For each test case, the first line contains two number separated by a blank. One is the number p(1≤p≤104) which represents the number of ponds she owns, and the other is the number m(1≤m≤105) which represents the number of pipes.

The next line contains p numbers v1,...,vp , where vi(1≤vi≤108) indicating the value of pond i .

Each of the last m lines contain two numbers a and b , which indicates that pond a and pond b are connected by a pipe.

 

Output

For each test case, output the sum of the value of all connected components consisting of odd number of ponds after removing all the ponds connected with less than two pipes.

 

Sample Input

   
   
   
   

    
    
    
    1
7 7
1 2 3 4 5 6 7
1 4
1 5
4 5
2 3
2 6
3 6
2 7
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    21
   
   
   
   

 

Source

2015 ACM/ICPC Asia Regional Changchun Online

 

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将孩子个数小于等于1的点进入队列，修改与该点相连的孩子数目，维护队列，最后通过dfs查看每一堆池塘的数目，奇数加，偶数忽略。。。

思路好像很行，不过还是在开始的时候理解错了题意了，当时不太懂 odd number of ponds是什么意思，所以开始的时候没有dfs

真的该祭奠一下我的时间了啊，结束前开了好几发，但是一直返回WR，之后改的成了RE了，不知道原因，果然最后就把这个题掉了

结束后开始一点点找错，因为代码太乱了，所以就压根没有发现什么错误，之后再PS的帮助下发现了两个可耻的错误，开始的RE是因为入队之后删边的时候用的是队列里的当前点的孩子数目，结果这个数目可能在入队之后修改了（因为判断完之后就会改变数组节点中的值了），实际上可能不再有边了，这样result可能返回的是end()，所以在删除的时候erase（end()）肯定就出错了

另外一个就更SB了，最后dfs图的时候竟然把n用成m了，这能对吗。。。

错误代码：

#pragma comment(linker, "/STACK:102400000000,102400000000")
#include<iostream>
#include<stdio.h>
#include<math.h>
#include <string>
#include<string.h>
#include<map>
#include<queue>
#include<set>
#include<utility>
#include<vector>
#include<algorithm>
#include<stdlib.h>
using namespace std;
#define eps 1e-8
#define pii pair<int,int>
#define INF 0x3f3f3f3f
#define rd(x) scanf("%d",&x)
#define rd2(x,y) scanf("%d%d",&x,&y)
#define ll long long int
#define mod 1000000007
#define maxn 1005
#define maxm 1000005
int  point[10005];
struct T{
  int childnum;
  int i;
  int mark;
  vector <int> vec;
  friend bool operator < (T n1, T n2)
  {
    return n1.childnum > n2.childnum;
  }
}node[10005];

bool vis[10005];
int cnt=0;
long long tsum=0;
void dfs(int x){
    if(vis[x]==true) return ;
    cnt++,tsum += point[ x ];
    vis[x]=true;
    for(int i=0;i<node[x].childnum;i++)
      dfs( node[x].vec[i] );
}


int main (){
int Case;
rd(Case);
while(Case--){
    memset(vis,0,sizeof(vis));
    int n,m,temp1,temp2;
    ll sum=0;
    vector<int>::iterator  result;
    rd2(n,m);
    for(int i=1;i<=n;i++) node[i].childnum=0,node[i].i=i,node[i].mark=0 ,node[i].vec.clear();
    for(int i=1;i<=n;i++){
        rd(point[i]);
        sum+=point[i];
    }
    for(int i=0;i<m;i++){
        rd2(temp1,temp2);
        //bool mark = (find( node[temp1].vec.begin(), node[temp1].vec.end(), temp2 ) == node[temp1].vec.end() );

        if(temp1!=temp2){
          node[temp1].vec.push_back(temp2);
          node[temp1].childnum++;
          node[temp2].vec.push_back(temp1);
          node[temp2].childnum++;
        }
    }
    priority_queue <T> que;
    for(int i=1;i<=n;i++)
        if(node[i].childnum<=1){
           que.push(node[i]);
           node[i].mark=1;
           sum-=point[i];
        }
    //cout<<"***"<<endl;
    while(!que.empty()){
       // cout<<"&&&"<<que.top().i<<endl;
        if(que.top().childnum==1){     //修改为  ：  node[que.top().i].childnum==1 
            int x=que.top().vec[0];//cout<<x<<endl;
            result = find( node[x].vec.begin(), node[x].vec.end(), que.top().i );
            node[x].vec.erase(result);
            node[x].childnum--;

            int i = que.top().i ;
            node[i].vec.erase(node[i].vec.begin());
            node[i].childnum-- ;

            if(node[x].childnum<=1 && node[x].mark == 0){
                que.push(node[x]);
                node[x].mark=1;
                sum-=point[x];
            }
        }
        que.pop();
    }
     for(int i=1;i<=m;i++){  ///修改为 ：  i<=n
        tsum=cnt=0;
        if(!vis[i] && node[i].childnum>=1 ){
            dfs(i);
            if(  cnt%2==0 )
             sum-=tsum;
        }
        // cout<<endl;
     }
    printf("%I64d\n",sum);
}

return 0 ;
}

其实当时没有做出来一点都不冤，因为之后看自己的代码简直就是一坨屎，思路根本不清晰，所以导致有点思路之后敲代码还是有点一头雾水，所以以后还是有了思路之后，最起码是能整体的脉络差不多清晰了再敲。

#pragma comment(linker, "/STACK:102400000000,102400000000")
#include<iostream>
#include<stdio.h>
#include<math.h>
#include <string>
#include<string.h>
#include<map>
#include<queue>
#include<set>
#include<utility>
#include<vector>
#include<algorithm>
#include<stdlib.h>
using namespace std;
#define eps 1e-8
#define pii pair<int,int>
#define INF 0x3f3f3f3f
#define rd(x) scanf("%d",&x)
#define rd2(x,y) scanf("%d%d",&x,&y)
#define ll long long int

int  point[10005];
vector <int> vec[10005];
bool vis[10005];
bool inqueue[10005];
int cnt=0;
long long tsum=0;


void dfs(int x)
{
    if(vis[x]) return ;
    cnt++,tsum += point[ x ],vis[x]=true;
    for(int i=0; i<vec[x].size(); i++)
        dfs( vec[x][i] );
}

void addedge(int temp1,int temp2)
{
    vec[temp1].push_back(temp2);
    vec[temp2].push_back(temp1);
}

int main ()
{
    int Case;
    rd(Case);
    while(Case--)
    {
        memset(vis,0,sizeof(vis));
        memset(inqueue,0,sizeof(inqueue));
        int n,m,temp1,temp2;
        ll sum=0;
        vector<int>::iterator result;
        rd2(n,m);
        for(int i=1; i<=n; i++)
        {
            vec[i].clear();
            rd(point[i]);
            sum+=point[i];
        }
        for(int i=0; i<m; i++)
        {
            rd2(temp1,temp2);
            addedge(temp1,temp2);
        }

        queue <int> que;   ///没必要将点放入队列  建立索引关系就行
        for(int i=1; i<=n; i++)
            if(vec[i].size()<=1)
            {
                que.push(i);
                vis[i]=true,inqueue[i]=1,sum-=point[i];
            }

        while(!que.empty())
        {
            if( vec[que.front()].size()==1 )
            {
                int x=vec[que.front()][0];
                result = find(  vec[x].begin(), vec[x].end(), que.front() );
                vec[x].erase(result);

                vec[que.front()].clear(); ///将队列中仅有一个元素清空

                if(vec[x].size()<=1 && inqueue[x] == 0)
                {
                    que.push(x);
                    inqueue[x]=1,vis[x]=true,sum-=point[x];
                }
            }
            que.pop();
        }

        for(int i=1; i<=n; i++){
            tsum=cnt=0;
            if( !vis[i] ){
                dfs(i);
                if(  cnt%2==0 )
                    sum-=tsum;
            }
        }
        printf("%I64d\n",sum);
    }

    return 0 ;
}

其实在遍历队列中的元素的时候根本没有必要删除边的关系，因为已经在入队的时候为之后的dfs做准备了，只要入队之后便不再遍历了，删除边就没什么用了，只是更改vec[i]中的数目就可以了...

其实开始的思路清晰的话肯定早就A掉了，以后注意。。。