• zoj3732&& hdu4797 Graph Reconstruction


    Graph Reconstruction

    Time Limit: 2 Seconds      Memory Limit: 65536 KB      Special Judge

    Let there be a simple graph with N vertices but we just know the degree of each vertex. Is it possible to reconstruct the graph only by these information?

    A simple graph is an undirected graph that has no loops (edges connected at both ends to the same vertex) and no more than one edge between any two different vertices. The degree of a vertex is the number of edges that connect to it.

    Input

    There are multiple cases. Each case contains two lines. The first line contains one integer N (2 ≤ N ≤ 100), the number of vertices in the graph. The second line conrains N integers in which the ith item is the degree of ith vertex and each degree is between 0 and N-1(inclusive).

    Output

    If the graph can be uniquely determined by the vertex degree information, output "UNIQUE" in the first line. Then output the graph.

    If there are two or more different graphs can induce the same degree for all vertices, output "MULTIPLE" in the first line. Then output two different graphs in the following lines to proof.

    If the vertex degree sequence cannot deduced any graph, just output "IMPOSSIBLE".

    The output format of graph is as follows:

    N E
    u

    1

     u

    2

     ... u

    E

    v

    1

     v

    2

     ... v

    EWhere N is the number of vertices and E is the number of edges, and {ui,vi} is the ith edge the the graph. The order of edges and the order of vertices in the edge representation is not important since we would use special judge to verify your answer. The number of each vertex is labeled from 1 to N. See sample output for more detail.

    Sample Input

    1
    0
    6
    5 5 5 4 4 3
    6
    5 4 4 4 4 3
    6
    3 4 3 1 2 0
    

    Sample Output

    UNIQUE
    1 0
    
    
    UNIQUE
    6 13
    3 3 3 3 3 2 2 2 2 1 1 1 5
    2 1 5 4 6 1 5 4 6 5 4 6 4
    MULTIPLE
    6 12
    1 1 1 1 1 5 5 5 6 6 2 2
    5 4 3 2 6 4 3 2 4 3 4 3
    6 12
    1 1 1 1 1 5 5 5 6 6 3 3
    5 4 3 2 6 4 3 2 4 2 4 2
    IMPOSSIBLE

    思路:这是一道坑题.......坑在格式的就不说了,可以原谅oj.如果hdu4797交不过,去zoj3732就能过了,(因为不能specail judge纯oj问题).

    #include <cstdio>
    #include <cstring>
    #include <algorithm>
    using namespace std;
    const int maxn=111;
    int sum,n;
    typedef pair<int ,int > P;
    P deg[maxn];
    P tmpdeg[maxn];
    int ash1[maxn*maxn*2],ash2[maxn*maxn*2],alen;
    
    bool cmp(P A,P B)
    {
       if(A.first==B.first) return A.second<B.second;
        return A.first>B.first;
    }
    void prints(){
        printf("%d %d\n",n,sum>>1);
    
        if(alen>0)printf("%d",ash1[0]);
        for(int i=1;i<alen;i++){
            printf(" %d",ash1[i]);
        }
        puts("");
        if(alen>0)printf("%d",ash2[0]);
        for(int i=1;i<alen;i++){
            printf(" %d",ash2[i]);
        }
        puts("");
    }
    
    void cpy(){
        for(int i=0;i<n;i++)tmpdeg[i]=deg[i];
        sort(tmpdeg,tmpdeg+n,cmp);
    }
    
    bool single;
    bool rebuild(){
        cpy();
        alen=0;
        single=true;
        for(;tmpdeg[0].first>0;){
            int amount=0;
            for(int j=1;j<n;j++){
                if(tmpdeg[j].first>0){
                    amount++;
                }
            }
            if(amount<tmpdeg[0].first)return false;
            if(single&&(tmpdeg[tmpdeg[0].first].first)==(tmpdeg[tmpdeg[0].first+1].first)&&tmpdeg[0].first+1<n){
                    single=false;
            }
            for(int j=1;j<=tmpdeg[0].first;j++){
                tmpdeg[j].first--;
                ash1[alen]=tmpdeg[0].second;
                ash2[alen++]=tmpdeg[j].second;
            }
    
            tmpdeg[0].first=0;
            sort(tmpdeg,tmpdeg+n,cmp);
        }
        return true;
    }
    
    bool rebuild2(){
        cpy();
        alen=0;
        for(;tmpdeg[0].first>0;){
            int amount=0;
            for(int j=1;j<n;j++){
                if(tmpdeg[j].first>0){
                    amount++;
                }
            }
            if(amount<tmpdeg[0].first)return false;
            if((tmpdeg[tmpdeg[0].first].first)==(tmpdeg[tmpdeg[0].first+1].first)&&tmpdeg[0].first+1<n){
                    swap(tmpdeg[tmpdeg[0].first].second,tmpdeg[tmpdeg[0].first+1].second);
            }
            for(int j=1;j<=tmpdeg[0].first;j++){
                tmpdeg[j].first--;
                ash1[alen]=tmpdeg[0].second;
                ash2[alen++]=tmpdeg[j].second;
            }
            tmpdeg[0].first=0;
            sort(tmpdeg,tmpdeg+n,cmp);
        }
        return true;
    }
    
    
    
    int main(){
        while(scanf("%d",&n)==1){
            bool failed =false;
            for(int i=1;i<=n;i++){
                scanf("%d",&(deg[i-1].first));
                deg[i-1].second=i;
                if(deg[i-1].first<0)failed=true;
            }
            sort(deg,deg+n,cmp);
            sum=0;
            for(int i=0;i<n;i++){
                if(deg[i].first>=n)failed=true;
                sum+=deg[i].first;
            }
            if(sum&1)failed=true;
            if(failed||!rebuild()){
                puts("IMPOSSIBLE");
            }
            else if(single){
                puts("UNIQUE");
                prints();
            }
            else {
                puts("MULTIPLE");
                prints();
                rebuild2();
                prints();
            }
        }
        return 0;
    }
    

      

  • 相关阅读:
    超实用的 Nginx 极简教程,覆盖了常用场景(转)
    阿里云Redis开发规范(转)
    什么是 AQS ?
    缓存穿透、缓存并发、缓存失效之思路变迁(转)
    看不懂JDK8的流操作?5分钟带你入门(转)
    Redis 分布式锁的正确实现方式(转)
    urllib-Proxy
    基本urllib库
    Windows DOS 命令(持续更新...)
    java 位运算符
  • 原文地址:https://www.cnblogs.com/xuesu/p/3979673.html
Copyright © 2020-2023  润新知