#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; class Range { public: struct RNG { ll l, r; bool operator<(const RNG& a) const { return r < a.r; } }; set rngs; void add(ll nl, ll nr){ RNG rng; rng.l = nl; rng.r = nr; auto bgn = rngs.lower_bound((RNG){nl-1,nl-1}); auto it = bgn; for(; it != rngs.end(); it++){ if(it->l <= rng.r+1){ nl = min(nl, it->l); nr = max(nr, it->r); }else{ break; } } rngs.erase(bgn, it); rngs.insert((RNG){nl,nr}); } void erase(ll nl, ll nr){ RNG rng; rng.l = nl; rng.r = nr; set tmp; auto bgn = rngs.lower_bound((RNG){nl-1,nl-1}); auto it = bgn; for(; it != rngs.end(); it++){ if(it->l <= rng.r){ if(it->l < nl){ tmp.insert((RNG){it->l,nl-1}); } if(nr < it->r){ tmp.insert((RNG){nr+1,it->r}); } }else{ break; } } rngs.erase(bgn, it); FOR(it,tmp){ rngs.insert(*it); } } }; Range 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].add(1,a-1); if(b+1<=N && b+1<=N) ok[Q-1].add(b+1,N); }else{ if(a-1>=1 && 1<=a-1) ok[Q-1].add(1,a-1); if(a+1<=b-1) ok[Q-1].add(a+1,b-1); if(b+1<=N && b+1<=N) ok[Q-1].add(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); FOR(it,ok[i+1].rngs){ int aa = it->l - 1; int bb = it->r + 1; aa = max(aa, 1); bb = min(bb, N); ok[i].add(aa,bb); } ok[i].erase(a,a); ok[i].erase(b,b); } /* rep(i,Q){ cout << i << endl; FOR(it,ok[i]){ cout << "\t" << it->first << " " << it->second << endl; } } */ if(ok[0].rngs.size() == 0) return vector(); int pos = ok[0].rngs.begin()->l; 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].rngs){ if(it->l <= npos && npos <= it->r) 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; }