#line 1 "main.cpp" #include using namespace std; #ifdef LOCAL #include #define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) (static_cast(0)) #endif //#pragma GCC target("avx,avx2") //#pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair; using pii = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vul = vector; using vpii = vector; using vvpii = vector; using vpll = vector; using vvpll = vector; using vs = vector; template using pq = priority_queue, greater>; #define overload4(_1, _2, _3, _4, name, ...) name #define overload3(a,b,c,name,...) name #define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER) #define rep2(i, n) for (ll i = 0; i < (n); ++i) #define rep3(i, a, b) for (ll i = (a); i < (b); ++i) #define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(n) for(ll i = (n) - 1;i >= 0;i--) #define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--) #define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--) #define rrep4(i,a,b,c) for(ll i = (a) + (((b)-(a)-1) / (c) - (((b)-(a)-1) % (c) && (((b)-(a)-1) ^ c) < 0)) * (c);i >= (a);i -= c) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define all1(i) begin(i) , end(i) #define all2(i,a) begin(i) , begin(i) + a #define all3(i,a,b) begin(i) + a , begin(i) + b #define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__) #define sum(...) accumulate(all(__VA_ARGS__),0LL) template bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; } template bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; } template auto min(const T& a){return *min_element(all(a));} template auto max(const T& a){return *max_element(all(a));} template void in(Ts&... t); #define INT(...) int __VA_ARGS__; in(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; in(__VA_ARGS__) #define STR(...) string __VA_ARGS__; in(__VA_ARGS__) #define CHR(...) char __VA_ARGS__; in(__VA_ARGS__) #define DBL(...) double __VA_ARGS__; in(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; in(__VA_ARGS__) #define VEC(type, name, size) vector name(size); in(name) #define VV(type, name, h, w) vector> name(h, vector(w)); in(name) ll intpow(ll a, ll b){ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;} ll modpow(ll a, ll b, ll p){ ll ans = 1 % p; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; } bool is_clamp(ll val,ll low,ll high) {return low <= val && val < high;} void Yes() {cout << "Yes\n";return;} void No() {cout << "No\n";return;} void YES() {cout << "YES\n";return;} void NO() {cout << "NO\n";return;} template U floor(U a, T b) {return a / b - (a % b && (a ^ b) < 0);} // ceil(x,y) = floor(x+y-1,y)なのでx+y-1がoverflowする可能性あり template U ceil(U x, T y) {return floor(x + y - 1, y);} template T bmod(U x, T y) {return x - y * floor(x, y);} template pair divmod(U x, T y) {U q = floor(x, y);return {q, x - q * y};} namespace IO{ #define VOID(a) decltype(void(a)) struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(15);}} setting; template struct P : P{}; template<> struct P<0>{}; template void i(T& t){ i(t, P<3>{}); } void i(vector::reference t, P<3>){ int a; i(a); t = a; } template auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; } template auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); } template void ituple(T& t, index_sequence){in(get(t)...);} template auto i(T& t, P<0>) -> VOID(tuple_size{}){ituple(t, make_index_sequence::value>{});} #undef VOID } #define unpack(a) (void)initializer_list{(a, 0)...} template void in(Ts&... t){ unpack(IO :: i(t)); } #undef unpack constexpr long double PI = 3.141592653589793238462643383279L; template struct REC { F f; REC(F &&f_) : f(forward(f_)) {} template auto operator()(Args &&...args) const { return f(*this, forward(args)...); }}; constexpr int mod = 998244353; //constexpr int mod = 1000000007; #line 2 "library/graph/EulerianTrail.hpp" template struct EulerianTrail { vector>> g; vector> es; int M; vector used_edge,used_vertex,deg; explicit EulerianTrail(int N) : g(N),M(0),used_vertex(N),deg(N) {} void add_edge(int u,int v) { es.emplace_back(u,v); g[u].emplace_back(v,M); if(directed) { deg[u]++; deg[v]--; } else { g[v].emplace_back(u,M); deg[u]++; deg[v]++; } M++; } pair get_edge(int idx) { assert(0 <= idx && idx < M); return es[idx]; } // pair<頂点の順番,辺の順番> pair,vector> enumerate_eulerian_trail(int start = -1) { if(start == -1) { if(directed) { start = max_element(deg.begin(),deg.end()) - deg.begin(); if(deg[start] == 0) { start = (M == 0 ? 0 : es[0].first); } } else { for(int i = 0;i < g.size();i++) { if(deg[i] & 1) { start = i; break; } } if(start == -1) { start = (M == 0 ? 0 : es[0].first); } } } if(M == 0) { return {{start},{}}; } //辞書順最小 // for(int i = 0;i < g.size();i++) { // sort(g[i].begin(),g[i].end(),greater()); // } used_edge.assign(M,0); vector> st; vector ord_edge,ord_vertex,D(g.size()); st.emplace_back(start,-1); D[start]++; while(!st.empty()) { auto [idx,edge_idx] = st.back(); used_vertex[idx] = 1; if(g[idx].empty()) { ord_edge.emplace_back(edge_idx); ord_vertex.emplace_back(idx); st.pop_back(); } else { auto e = g[idx].back(); g[idx].pop_back(); if(used_edge[e.second]) continue; used_edge[e.second] = 1; st.emplace_back(e); D[idx]--; D[e.first]++; } } ord_edge.pop_back(); reverse(ord_edge.begin(),ord_edge.end()); reverse(ord_vertex.begin(),ord_vertex.end()); for(auto &x : D) if(x < 0) {return {{},{}};} if(ord_edge.size() != M) { return {{},{}}; } return {ord_vertex,ord_edge}; } }; #line 102 "main.cpp" void solve() { int n = 26; EulerianTrail ET(2 * n); rep(i,n) { rep(j,n) { ET.add_edge(i,j + n); ET.add_edge(j + n,j); } } auto ret = ET.enumerate_eulerian_trail(); debug(ret.first.size(),26 * 26 * 2); rep(i,n * n) { cout << char(ret.first[2 * i] + 'A') << char(ret.first[2 * i + 1] - n + 'A') << '\n'; } } int main() { int TT = 1; //cin >> TT; while(TT--) solve(); }