Submission #1363661

#TimeUsernameProblemLanguageResultExecution timeMemory
1363661kokorooSocial Engineering (EGOI22_socialengineering)C++20
100 / 100
463 ms51840 KiB
#include<bits/stdc++.h>
//#include<atcoder/all>
 
using namespace std;
//using namespace atcoder;
#define rep(i,n) for(ll i=0; i<n; i++)
#define rrep(i,n) for(ll i=n-1; i>=0; i--)
#define print(a) cout<<a<<endl
typedef long long ll;
#define yn(flg) if(flg){cout<<"Yes"<<endl;}else{cout<<"No"<<endl;}
#define YN(flg) if(flg){cout<<"YES"<<endl;}else{cout<<"NO"<<endl;}
#define so(a) sort(a.begin(),a.end())
#define mp make_pair
#define vi vector<int>
#define vl vector<ll>
#define vs vector<string>
#define pb push_back
#define a2i(a,s) (ll)(a-s)
#define i2a(s,a) (char)(s+a)
#define ssize(a) a.size()
typedef pair<int, int> Pii;
typedef pair<int, ll> Pil;
typedef pair<pair<ll,ll>,ll> P3;
typedef pair<pair<ll,ll>,pair<ll,ll>> P4;
 
typedef pair<ll, ll> Pll;
typedef pair<ll,Pll> Plll;
typedef pair<Pii, int> Piii;
const ll INF = 1000000000000000000;
 
template<class T> inline bool chmin(T& a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template<class T> inline bool chmax(T& a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
 
}
vector<ll> g[200009];
vector<ll> visited(200009);//通ったかどうか

void MakeMove(ll v){
    cout<<v<<endl;
}
int GetMove(){
    ll v;
    cin>>v;
    return v;
}
vector<ll> rank2(200009);
vector<ll> s(200009);//頂点iが1と繋がっているか
vector<ll> match_path[200009];

bool t=false;
int dfs(ll pos){
    vector<ll> unmatched;
    visited[pos]=1;
    if(s[pos]==1)unmatched.push_back(pos);

    for(auto nx:g[pos]){
        if(visited[nx]==0){
            ll j=dfs(nx);
            if(j!=-1){
                match_path[j].push_back(pos);
                unmatched.push_back(j);
            }
        }
    }

    while(unmatched.size()>=2){
        ll a=unmatched.back();
        unmatched.pop_back();

        ll b=unmatched.back();
        unmatched.pop_back();

        for(ll c=match_path[b].size()-2;c>=0;c--){
            match_path[a].push_back(match_path[b][c]);
        }
        if(match_path[a].size()==0||match_path[a].back()!=b)match_path[a].pb(b);

        match_path[b].clear();
        for(ll c=match_path[a].size()-2;c>=0;c--){
            match_path[b].push_back(match_path[a][c]);
        }
        if(match_path[b].size()==0||match_path[b].back()!=a)match_path[b].pb(a);


    }

    if(unmatched.size()==0)return -1;
    return unmatched[0];
 
}

 
int main(){
//入力
 
	// cin.tie(0);
	// ios::sync_with_stdio(0);

    ll n,m;
    cin>>n>>m;


    for(ll i=0;i<m;i++){
        ll a,b;
        cin>>a>>b;

        if(a==1)s[b]=1;
        else if(b==1)s[a]=1;
        else{
            g[a].push_back(b);
            g[b].push_back(a);
        }
    }

    if(g[1].size()%2==1){
        cout<<"NO"<<endl;
        return 0;
    }

    for(ll i=2;i<=n;i++){
        if(s[i]==1&&visited[i]==0){
            ll j=dfs(i);
            if(j!=-1){
                cout<<"NO"<<endl;
                return 0;
            }
        }
    }

//勝負
    cout<<"YES"<<endl;
    while(1){
        ll nx=GetMove();
        if(nx==0)return 0;

        for(auto nx2:match_path[nx]){
            MakeMove(nx2);
        }
        MakeMove(1);
    }    

    return 0;
}
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