#include #include using namespace std; using namespace atcoder; #define REP(i,a,n) for(int i=(a); i<(int)(n); i++) #define rep(i,n) REP(i,0,n) #define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it) #define ALLOF(c) (c).begin(), (c).end() typedef long long ll; typedef unsigned long long ull; //using mint = modint1000000007; //using mint = modint998244353; set> ok[100005]; vector solve(int N, const vector>& v){ int Q = v.size(); vector ret; { int a = v[Q-1].first; int b = v[Q-1].second; if(a > b) swap(a,b); if(a+1 == b){ if(a-1>=1 && 1<=a-1) ok[Q-1].insert(make_pair(1,a-1)); if(b+1<=N && b+1<=N) ok[Q-1].insert(make_pair(b+1,N)); }else{ if(a-1>=1 && 1<=a-1) ok[Q-1].insert(make_pair(1,a-1)); if(a+1<=b-1) ok[Q-1].insert(make_pair(a+1,b-1)); if(b+1<=N && b+1<=N) ok[Q-1].insert(make_pair(b+1,N)); } } for(int i=Q-2; i>=0; i--){ int a = v[i].first; int b = v[i].second; if(a > b) swap(a,b); vector> s; FOR(it,ok[i+1]){ int aa = it->first - 1; int bb = it->second + 1; aa = max(aa, 1); bb = min(bb, N); if(aa <= a && a <= bb && aa <= b && b <= bb){ if(a-1>=1 && aa<=a-1) s.emplace_back(aa,a-1); if(a+1<=b-1) s.emplace_back(a+1,b-1); if(b+1<=N && b+1<=bb) s.emplace_back(b+1,bb); } else if(aa <= a && a <= bb){ if(a-1>=1 && aa<=a-1) s.emplace_back(aa,a-1); if(a+1<=N && a+1<=bb) s.emplace_back(a+1,bb); } else if(aa <= b && b <= bb){ if(b-1>=1 && aa<=b-1) s.emplace_back(aa,b-1); if(b+1<=N && b+1<=bb) s.emplace_back(b+1,bb); } else{ s.emplace_back(aa,bb); } } rep(j,s.size()){ int last = s[j].second; int k=j; while(k+1first << " " << it->second << endl; } } */ if(ok[0].size() == 0) return vector(); int pos = ok[0].begin()->first; ret.push_back(pos); REP(i,1,Q){ int nxt = pos; REP(j,-1,2){ int npos = pos + j; bool flg = false; if(1<=npos&&npos<=N){ FOR(it,ok[i]){ if(it->first <= npos && npos <= it->second) flg = true; } } if(flg){ nxt = npos; break; } } pos = nxt; ret.push_back(pos); } return ret; } int main(){ int N, Q; cin >> N >> Q; vector> v(Q); rep(i,Q) cin >> v[i].first; rep(i,Q) cin >> v[i].second; vector ret = solve(N, v); if(ret.size() > 0){ cout << "YES" << endl; cout << ret[0] << endl; rep(i,ret.size()) cout << ret[i] << endl; return 0; } cout << "NO" << endl; return 0; }