HDU3047 Zjnu Stadium

ZjnuStadium 座位分配问题

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原文链接：http://www.cnblogs.com/pk28/p/4732773.html

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#java

本文介绍了一个基于并查集算法解决大型体育场座位分配问题的竞赛题目。该问题要求根据一系列条件判断座位分配请求是否会产生冲突，并统计冲突的数量。

Zjnu Stadium

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2302 Accepted Submission(s): 876

Problem Description

In 12th Zhejiang College Students Games 2007, there was a new stadium built in Zhejiang Normal University. It was a modern stadium which could hold thousands of people. The audience Seats made a circle. The total number of columns were 300 numbered 1--300, counted clockwise, we assume the number of rows were infinite.
These days, Busoniya want to hold a large-scale theatrical performance in this stadium. There will be N people go there numbered 1--N. Busoniya has Reserved several seats. To make it funny, he makes M requests for these seats: A B X, which means people numbered B must seat clockwise X distance from people numbered A. For example: A is in column 4th and X is 2, then B must in column 6th (6=4+2).
Now your task is to judge weather the request is correct or not. The rule of your judgement is easy: when a new request has conflicts against the foregoing ones then we define it as incorrect, otherwise it is correct. Please find out all the incorrect requests and count them as R.

Input

There are many test cases:
For every case:
The first line has two integer N(1<=N<=50,000), M(0<=M<=100,000),separated by a space.
Then M lines follow, each line has 3 integer A(1<=A<=N), B(1<=B<=N), X(0<=X<300) (A!=B), separated by a space.

Output

For every case:
Output R, represents the number of incorrect request.

Sample Input

10 10

1 2 150

3 4 200

1 5 270

2 6 200

6 5 80

4 7 150

8 9 100

4 8 50

1 7 100

9 2 100

Sample Output

Hint

Hint: （PS： the 5th and 10th requests are incorrect）

Source

2009 Multi-University Training Contest 14 - Host by ZJNU

并查集....

当已经安排过的两个人又被安排在不同的位置时产生矛盾

/* ***********************************************
Author        :pk28
Created Time  :2015/8/15 15:11:05
File Name     :4.cpp
************************************************ */
#include <iostream>
#include <cstring>
#include <cstdlib>
#include <stdio.h>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <iomanip>
#include <list>
#include <deque>
#include <stack>
#define ull unsigned long long
#define ll long long
#define mod 90001
#define INF 0x3f3f3f3f
#define maxn 50000+10
#define cle(a) memset(a,0,sizeof(a))
const ull inf = 1LL << 61;
const double eps=1e-5;
using namespace std;

bool cmp(int a,int b){
    return a>b;
}
int n,m,ans;
int fa[maxn];
int d[maxn];
void init(){
    for(int i=1;i<=n;i++){
        fa[i]=i;
        d[i]=0;
    }
    ans=0;
}
int findfa(int x){
    if(x==fa[x]) return x;
    else{
        int root=findfa(fa[x]);
        d[x]+=d[fa[x]];
        fa[x]=root;
        return fa[x];
    }
}
void Union(int a,int b,int w){
    int x=findfa(a);
    int y=findfa(b);
    if(x==y){
        if(d[b]!=d[a]+w)ans++;//产生矛盾
        return ;
    }
    fa[y]=x;
    d[y]= d[a]+w-d[b];//向量
}
int main()
{
    #ifndef ONLINE_JUDGE
    freopen("in.txt","r",stdin);
    #endif
    //freopen("out.txt","w",stdout);
    int a,b,w;
    while(cin>>n>>m){
        init();
        for(int i=1;i<=m;i++){
            scanf("%d %d %d",&a,&b,&w);
            Union(a,b,w);
        }
        printf("%d\n",ans);
     }
    return 0;
}