Spanning Tree with Maximum Degree
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Spanning Tree with Maximum Degree
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https://codeforces.com/contest/1133/problem/F1
題解:貪心+并查集
首先統計每個節點的度的數量,按度的數量從大到小排序,然后并查集建樹(類似于最小生成樹)
C++版本一
/* *@Author: STZG *@Language: C++ */ #include <bits/stdc++.h> #include<iostream> #include<algorithm> #include<cstdlib> #include<cstring> #include<cstdio> #include<string> #include<vector> #include<bitset> #include<queue> #include<deque> #include<stack> #include<cmath> #include<list> #include<map> #include<set> //#define DEBUG #define RI register int using namespace std; typedef long long ll; //typedef __int128 lll; const int N=200000+10; const int M=100000+10; const int MOD=1e9+7; const double PI = acos(-1.0); const double EXP = 1E-8; const int INF = 0x3f3f3f3f; int t,n,m,k,q; int ans,cnt,flag,temp,sum,u,v; int a[N]; int pre[N]; char str; vector<int>G[N]; struct node{int a,id;bool operator<(const node &S)const{if(a==S.a)return id<S.id;return a>S.a;} }e[N]; int find(int x){return (pre[x]==x)?x:pre[x]=find(pre[x]);} int main() { #ifdef DEBUGfreopen("input.in", "r", stdin);//freopen("output.out", "w", stdout); #endif//ios::sync_with_stdio(false);//cin.tie(0);//cout.tie(0);//scanf("%d",&t);//while(t--){scanf("%d%d",&n,&m);for(int i=1;i<=n;i++){e[i].id=i;pre[i]=i;}for(int i=1;i<=m;i++){scanf("%d%d",&u,&v);e[u].a++;e[v].a++;G[u].push_back(v);G[v].push_back(u);}sort(e+1,e+n+1);for(int i=1;i<=n;i++){for(int j=0,k=G[e[i].id].size();j<k;j++){u=e[i].id;v=G[e[i].id][j];int tx=find(u);int ty=find(v);if(tx!=ty){pre[tx]=ty;cout<<u<<" "<<v<<endl;}}}//}#ifdef DEBUGprintf("Time cost : %lf s\n",(double)clock()/CLOCKS_PER_SEC); #endif//cout << "Hello world!" << endl;return 0; }?
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