/* #region Head */ #include using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; template using vc = vector; template using vvc = vc>; using vll = vc; using vvll = vvc; using vld = vc; using vvld = vvc; using vs = vc; using vvs = vvc; template using um = unordered_map; template using pq = priority_queue; template using pqa = priority_queue, greater>; template using us = unordered_set; #define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i)) #define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i)) #define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i)) #define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d)) #define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d)) #define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++) #define ALL(x) begin(x), end(x) #define SIZE(x) ((ll)(x).size()) #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) #define UNIQ(v) v.erase(unique(ALL(v)), v.end()); #define CEIL(a, b) (((a) + (b)-1) / (b)) #define endl '\n' constexpr ll INF = 1'010'000'000'000'000'017LL; constexpr int IINF = 1'000'000'007LL; constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7 // constexpr ll MOD = 998244353; constexpr ld EPS = 1e-12; constexpr ld PI = 3.14159265358979323846; template istream &operator>>(istream &is, vc &vec) { // vector 入力 for (T &x : vec) is >> x; return is; } template ostream &operator<<(ostream &os, const vc &vec) { // vector 出力 (for dump) os << "{"; REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template ostream &operator>>(ostream &os, const vc &vec) { // vector 出力 (inline) REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " "); return os; } template istream &operator>>(istream &is, array &arr) { // array 入力 REP(i, 0, SIZE(arr)) is >> arr[i]; return is; } template ostream &operator<<(ostream &os, const array &arr) { // array 出力 (for dump) os << "{"; REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template istream &operator>>(istream &is, pair &pair_var) { // pair 入力 is >> pair_var.first >> pair_var.second; return is; } template ostream &operator<<(ostream &os, const pair &pair_var) { // pair 出力 os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map, um, set, us 出力 template ostream &out_iter(ostream &os, const T &map_var) { os << "{"; REPI(itr, map_var) { os << *itr; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } return os << "}"; } template ostream &operator<<(ostream &os, const map &map_var) { return out_iter(os, map_var); } template ostream &operator<<(ostream &os, const um &map_var) { os << "{"; REPI(itr, map_var) { auto [key, value] = *itr; os << "(" << key << ", " << value << ")"; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } os << "}"; return os; } template ostream &operator<<(ostream &os, const set &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const us &set_var) { return out_iter(os, set_var); } template ostream &operator<<(ostream &os, const pq &pq_var) { pq pq_cp(pq_var); os << "{"; if (!pq_cp.empty()) { os << pq_cp.top(), pq_cp.pop(); while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop(); } return os << "}"; } void pprint() { cout << endl; } template void pprint(Head &&head, Tail &&... tail) { cout << head; if (sizeof...(Tail) > 0) cout << ' '; pprint(move(tail)...); } // dump #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template void dump_func(Head &&head, Tail &&... tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(move(tail)...); } // chmax (更新「される」かもしれない値が前) template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } // chmin (更新「される」かもしれない値が前) template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } // ローカル用 #ifndef ONLINE_JUDGE #define DEBUG_ #endif #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif #define VAR(type, ...) \ type __VA_ARGS__; \ cin >> __VA_ARGS__; template istream &operator,(istream &is, T &rhs) { return is >> rhs; } template ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; } struct AtCoderInitialize { static constexpr int IOS_PREC = 15; static constexpr bool AUTOFLUSH = false; AtCoderInitialize() { ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr); cout << fixed << setprecision(IOS_PREC); if (AUTOFLUSH) cout << unitbuf; } } ATCODER_INITIALIZE; void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; } void YN(bool p) { cout << (p ? "YES" : "NO") << endl; } /* #endregion */ // #include // using namespace atcoder; /* #region Graph */ // エッジ(本来エッジは双方向だが,ここでは単方向で管理) template struct Edge { ll src; // エッジ始点となる頂点 ll dst; // エッジ終点となる頂点 weight_t weight; // 重み flow_t cap; Edge() : src(0), dst(0), weight(0) {} Edge(ll src, ll dst, weight_t weight) : src(src), dst(dst), weight(weight) {} Edge(ll src, ll dst, weight_t weight, flow_t cap) : src(src), dst(dst), weight(weight), cap(cap) {} // Edge 標準出力 friend ostream &operator<<(ostream &os, Edge &edge) { os << "(" << edge.src << " -> " << edge.dst << ", " << edge.weight << ")"; return os; } }; // 同じ頂点を始点とするエッジ集合 template class Node : public vc> { public: ll idx; Node() : vc>() {} // void add(int a, int b, weight_t w, flow_t cap) { this->emplace_back(a, b, w, cap); }; }; // graph[i] := 頂点 i を始点とするエッジ集合 template class Graph : public vc> { public: Graph() : vc>() {} Graph(int n) : vc>(n) { REP(i, 0, n)(*this)[i].idx = i; } // 単方向 void add_arc(int a, int b, weight_t w = 1, flow_t cap = 1) { (*this)[a].emplace_back(a, b, w, cap); } // 双方向 void add_edge(int a, int b, weight_t w = 1, flow_t cap = 1) { add_arc(a, b, w, cap), add_arc(b, a, w, cap); } }; // using Array = vc; // using Matrix = vc; /* #endregion */ /* #region scc */ // 強連結成分分解 template vll scc(const Graph &g) { ll n = SIZE(g); // ノード数 Graph rg(n); // 逆向きのグラフ for (const Node &es : g) for (Edge e : es) { swap(e.src, e.dst); rg[e.src].emplace_back(e); } vll order; order.reserve(n); { // dfs 1回目 vc visited(n), added(n); REP(i, 0, n) { if (visited[i]) continue; stack stk; stk.push(i); while (!stk.empty()) { ll cur = stk.top(); visited[cur] = true; bool pushed = false; for (const Edge &e : g[cur]) if (!visited[e.dst]) { stk.push(e.dst); pushed = true; } if (!pushed) { // カレントノードからは未訪問ノードへ到達できない ll t = stk.top(); stk.pop(); // 未訪問ノードへ到達できないノードは除いていく if (!added[t]) { added[t] = true; order.push_back(t); } } } } reverse(ALL(order)); } vll ret(n, -1); { // dfs 2回目 ll groupnum = 0; for (ll &v : order) { if (ret[v] != -1) continue; stack stk; stk.push(v); while (!stk.empty()) { ll cur = stk.top(); stk.pop(); ret[cur] = groupnum; for (Edge &e : rg[cur]) if (ret[e.dst] == -1) stk.push(e.dst); } ++groupnum; } } return ret; } /* #endregion */ template bool has_cycle_directed(Graph &graph) { ll n = SIZE(graph); vc visited(n, false); function dfs = [&](ll idx, ll par) { if (visited[idx]) return true; visited[idx] = true; for (Edge &edge : graph[idx]) if (edge.dst != par && dfs(edge.dst, idx)) return true; return false; }; vll indegrees(n, 0); // 入次数 REP(i, 0, n) REP(j, 0, SIZE(graph[i])) indegrees[graph[i][j].dst]++; // 入次数が 0 になるような頂点が存在しない場合,閉路は必ず存在する(ほんと?) if (find(ALL(indegrees), 0LL) == indegrees.end()) return true; dump(111); REP(i, 0, n) { fill(ALL(visited), false); if (indegrees[i] == 0) if (dfs(i, -1)) return true; } return false; } template vll get_cycle_directed(Graph &graph) { ll n = SIZE(graph); vll group = scc(graph); um mp; REP(i, 0, n) { if (mp.find(group[i]) == mp.end()) mp[group[i]] = vll(); mp[group[i]].emplace_back(i); } REPI(itr, mp) { ll sz = SIZE(itr->second); if (sz > 1) { // cout << sz << endl; // REP(i, 0, sz) cout << itr->second[i] << endl; // ぐるっと1周するようなパスが複数存在する場合,すべてを出力するのは駄目 // ぐるっと1周する閉路を横切るようなパスが存在しないような閉路を出力しないといけない // まずはぐるっと1周するパスを探し,それを横切るエッジがあるなら,そのエッジの終点から始点までのパスを探す set st; REP(i, 0, sz) st.insert(itr->second[i]); ll start = itr->second[0], term = -1; while (true) { vll visited(n, -1); ll visitcnt = 0; visited[start] = visitcnt++; queue> que; // 「訪問予定」頂点リスト que.push(graph[start]); Graph g2(n); vc shortcut; while (!que.empty()) { // bfs Node cur = que.front(); que.pop(); for (Edge &e : cur) { if (st.find(e.dst) == st.end()) continue; if (visited[e.dst] == 0) { // dump(e.src, e.dst); term = e.src; continue; } else if (visited[e.dst] != -1) { shortcut.emplace_back(e.src, e.dst); continue; } g2.add_arc(e.dst, e.src); visited[e.dst] = visitcnt++; que.push(graph[e.dst]); } if (term != -1) break; } vll nodes = {term}; set st2; st2.insert(term); ll cur = term; while (cur != start) { // なるべく番号が若いノードを辿っていく ll num = INF, par = -1; for (Edge &e : g2[cur]) { if (chmin(num, visited[e.dst])) par = e.dst; } nodes.push_back(par); st2.insert(par); cur = par; } reverse(ALL(nodes)); if (SIZE(shortcut) == 0) return nodes; // ショートカットが存在しても,その両端点が nodes に入っていなければセーフ bool safe = true; for (pll &sc : shortcut) { if (st2.find(sc.first) != st2.end() && st2.find(sc.second) != st2.end()) { safe = false; break; } } if (safe) return nodes; start = shortcut[0].second, term = -1; } } } return vll(0); } // Problem void solve() { VAR(ll, n, m); // vll a(n); cin >> a; REP(i, 0, n) a[i]--; // <><>... Graph<> graph(m); vll h(m, 0); // 入ってくるエッジの本数 REP(i, 0, n - 1) { // 小さい方から大きい方へ辺を張る if (a[i] == a[i + 1]) { Yn(false); return; } if (i % 2 == 0) { graph.add_arc(a[i], a[i + 1]); h[a[i + 1]]++; // dump(a[i], a[i + 1]); } else { graph.add_arc(a[i + 1], a[i]); h[a[i]]++; // dump(a[i + 1], a[i]); } } REP(i, 0, n - 2) { if (a[i] == a[i + 2]) { Yn(false); return; } } // vll cycle = get_cycle_directed(graph); // // if (has_cycle_directed(graph)) { // // Yn(false); // // return; // // } // if (SIZE(cycle) > 0) { // Yn(false); // return; // } stack st; REP(i, 0, m) if (h[i] == 0) st.push(i); vll ans; while (st.size()) { ll node_idx = st.top(); st.pop(); ans.push_back(node_idx); for (Edge<> &edge : graph[node_idx]) { h[edge.dst]--; if (h[edge.dst] == 0) st.push(edge.dst); } } // dump(ans); if (*max_element(ALL(h)) > 0) { Yn(false); return; } vll ret(m, 1); REP(i, 0, SIZE(ans)) ret[ans[i]] = i + 1; Yn(true); cout >> ret; } // entry point int main() { solve(); return 0; }