#include <stdio.h>#include <stdlib.h>#include <math.h>#include <time.h>#include <string.h>#include <iostream>#include <vector>#include <list>#include <stack>#include <queue>#include <map>#include <set>#include <algorithm>typedef short int int16;///32767typedef int int32;///2147483647typedef long long int64;///9223372036854775807const double PI=acos(-1.0);///3.141593const long long MOD=(long long)1E9+7LL;///1000000007int isdigit(int c);int islower(int c);int isupper(int c);int tolower(int c);int toupper(int c);template <class T> T Susake_pow(T a,T b)///pow{T res;if(b==0) return 1;else while((b&1)==0){b>>=1;a*=a;}res=a;b>>=1;while(b!=0){a*=a;if((b&1)!=0)res*=a;b>>=1;}return res;}template<class T> inline T gcd(T a,T b)///gcd{if(a<0)return gcd(-a,b);if(b<0)return gcd(a,-b);return (b==0)?a:gcd(b,a%b);}template<class T> inline T lcm(T a,T b)///lcm{if(a<0)return lcm(-a,b);if(b<0)return lcm(a,-b);return a*(b/gcd(a,b));}template<class T> inline char *Susake_nsystem(T n)///itoa(26){T t=0,i;char *s,*p;s=(char *)malloc(sizeof(char)*1000);p=(char *)malloc(sizeof(char)*1000);while(n){s[t]=n%26+64;if(s[t]==64){s[t]+=26;n-=26;}t++;n/=26;}s[t]=‘\0‘;for(i = 0; i < t; i++)p[i]=s[t-1-i];p[i]=‘\0‘;free(s);return p;}int Susake_system(char *s)///atoi(26){int len=strlen(s),i,sum=0;char p[1000];for(i=0;i<len;i++)p[i]=s[len-1-i]-64;for(i=0;i<len;i++)sum+=p[i]*Susake_pow(26,i);return sum;}int fa[49], ans[49];template <class T> T union_find(T x)///union_find{return fa[x] == x ? x : fa[x] = union_find(fa[x]);}int teams[49] = { 0 };int team[49] = { 0 };int groups[49][49] = { 0 };int dfs(int s, int n, int t, std::vector<int> &g){ g.push_back(s); int cnt = 0; for (int i = 1; i <= n; ++i) if (groups[s][i] && !team[i]) { team[i] = team[s]; cnt += dfs(i,n,t,g); } return cnt + 1;}int main (){ int n,m; scanf("%d %d",&n,&m); for (int i = 0; i < m; ++i) { int a,b; scanf("%d %d",&a,&b); groups[a][b] = 1; groups[b][a] = 1; } int ct=0; std::vector<std::vector<int> > g1; std::vector<std::vector<int> > g2; std::vector<std::vector<int> > g3; for (int i=1; i <= n; ++i) { if (!team[i]) { ++ct; team[i] = ct; std::vector<int> g; int cnt = dfs(i,n,ct,g); if (cnt > 3) { printf("-1\n"); return 0; } teams[i] = cnt; if (cnt == 1) g1.push_back(g); else if (cnt == 2) g2.push_back(g); else g3.push_back(g); } } if (g2.size() > g1.size()) { printf("-1\n"); return 0; } // Merge teams with size 2 with size one for (int i = 0; i < g2.size(); ++i) { g2[i].push_back(g1[i][0]); g3.push_back(g2[i]); } // Merge the remaining of size one together for (int i = g2.size(); i < g1.size(); i += 3) { g1[i].push_back(g1[i+1][0]); g1[i].push_back(g1[i+2][0]); g3.push_back(g1[i]); } for (int i = 0; i < g3.size(); ++i) printf("%d %d %d\n",g3[i][0],g3[i][1],g3[i][2]); return 0;}
Codeforces300b -- Matching System of LOL