#include #include #include #include #include class Randomizer_NV{ public: using i32 = int32_t; using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; private: u32 rngx = 1234567890; u32 rngy = 987654321; u32 rngz = 998244353; u32 rngw = 1000000007; public: void seed(u32 x = 1234567890, u32 y = 987654321, u32 z = 998244353, u32 w = 1000000007){ rngx = x; rngy = y; rngz = z; rngw = w; } u32 rng32() { const u32 t = rngx ^ (rngx << 11); rngx = rngy; rngy = rngz; rngz = rngw; return rngw = rngw ^ (rngw >> 19) ^ t ^ (t >> 8); } u64 rng64() { return (u64)rng32() << 32 | rng32(); } // generate x : l <= x <= r u64 random_unsigned(u64 l,u64 r){ assert(l<=r); r-=l; auto res = rng64(); if(res<=r) return res+l; u64 d = r+1; u64 max_valid = 0xffffffffffffffff/d*d; while(true){ auto res = rng64(); if(res<=max_valid) break; } return res%d+l; } // generate x : l <= x <= r i64 random_signed(i64 l,i64 r){ assert(l<=r); u64 unsigned_l = (u64)l ^ (1ull<<63); u64 unsigned_r = (u64)r ^ (1ull<<63); u64 unsigned_res = random_unsigned(unsigned_l,unsigned_r) ^ (1ull<<63); return (i64)unsigned_res; } // permute x : n_left <= x <= n_right // output r from the front std::vector random_nPr(i64 n_left,i64 n_right,i64 r){ i64 n = n_right-n_left; assert(n>=0); assert(r<=(1ll<<27)); if(r==0) return {}; assert(n>=r-1); if(n==0) return {}; std::vector V; std::unordered_map G; for(int i=0; i void permute_inplace(std::vector& V,std::vector perm){ assert(V.size() == perm.size()); int N=V.size(); for(int i=0; i std::vector shuffle(const std::vector& V){ int N=V.size(); auto P = random_nPr(0,N-1,N); std::vector res; res.reserve(N); for(int i=0; i void shuffle_inplace(std::vector& V){ int N=V.size(); permute_inplace(V,random_nPr(0,N-1,N)); } }; #include #include #include #include #include #include using namespace std; using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; #define rep(i,n) for(int i=0; i<(int)(n); i++) using m32 = atcoder::static_modint<998244353>; const int N = 2048; const int BIT_SIZE = 256; int TARGET = 700; struct Constraint{ pair a[3]; }; Randomizer_NV rng; vector, 3>> A; vector edges; vector edges_i; int final_score = -1; vector final_ans = vector(BIT_SIZE, 0); const int N_BITSET = 128; u64 beg_satisfied[N_BITSET] = {}; u64 satisfied[N_BITSET] = {}; int calc_score(const vector& ans){ rep(i,N){ bool ok = false; if((beg_satisfied[i/64]>>(i%64)) & 1) continue; rep(t,3) if(ans[A[i][t][0]] == A[i][t][1]){ ok = true; break; } if(!ok) return i; } return N; } void update_satisfied(const vector& ans, int p){ for(int ei=edges_i[p]; ei>(i%64)) & 1) continue; bool ok = false; rep(t,3) if(ans[A[i][t][0]] == A[i][t][1]){ ok = true; break; } u64 mask = (u64)1 << (i%64); satisfied[i/64] &= ~mask; satisfied[i/64] |= (ok ? (u64)1 : (u64)0) << (i%64); } } void initialize_satisfied(const vector& ans){ rep(i,N){ bool ok = false; if((beg_satisfied[i/64]>>(i%64)) & 1) continue; rep(t,3) if(ans[A[i][t][0]] == A[i][t][1]){ ok = true; break; } u64 mask = (u64)1 << (i%64); satisfied[i/64] &= ~mask; satisfied[i/64] |= (ok ? (u64)1 : (u64)0) << (i%64); } } int calc_score2(){ rep(i,N_BITSET) if(satisfied[i] != ~(u64)0) return i * 64 + __builtin_ctzll(~satisfied[i]); return N; } int main(){ auto start_time = chrono::high_resolution_clock::now(); A.resize(N); rep(i,N) rep(c,2) rep(t,3) cin >> A[i][t][c]; rep(i,N) rep(t,3) A[i][t][0] = BIT_SIZE - 1 - A[i][t][0]; rep(i,N) sort(A[i].begin(), A[i].end()); rep(i,N) rep(t,2) if(A[i][t][0] == A[i][t+1][0] && A[i][t][1] != A[i][t+1][1]) beg_satisfied[i] = 1; rep(i,N_BITSET) satisfied[i] = beg_satisfied[i]; edges_i.assign(BIT_SIZE + 1, 0); rep(i,N) rep(t,3) edges_i[A[i][t][0]]++; rep(i,BIT_SIZE) edges_i[i+1] += edges_i[i]; edges.resize(edges_i.back()); rep(i,N) rep(t,3) edges[--edges_i[A[i][t][0]]] = i; const int TIME_SPLIT_COUNT = 1; rep(time_split, TIME_SPLIT_COUNT){ vector ans = final_ans; rep(i,BIT_SIZE) ans[i] = rng.rng32() % 2; initialize_satisfied(ans); int pscore = calc_score2(); while(true){ auto end_time = chrono::high_resolution_clock::now(); if((end_time - start_time).count() >= 1'000'000'000 * 1.5 / TIME_SPLIT_COUNT * (time_split + 1)) break; rep(t,1000){ int p = rng.rng32() & 255; int q = rng.rng32() & 255; ans[p] ^= 1; ans[q] ^= 1; update_satisfied(ans, p); update_satisfied(ans, q); int score = calc_score2(); if(final_score <= score){ final_ans = ans; final_score = score; } if(pscore > score){ ans[p] ^= 1; ans[q] ^= 1; update_satisfied(ans, p); update_satisfied(ans, q); } else pscore = score; } } } rep(i,BIT_SIZE) if(final_ans[i] == -1) final_ans[i] = 0; rep(i,BIT_SIZE) cout << final_ans[i]; final_score = calc_score(final_ans); cerr << "Final Score = " << final_score << endl; cout << endl; return 0; } struct ios_do_not_sync{ ios_do_not_sync(){ std::ios::sync_with_stdio(false); std::cin.tie(nullptr); } } ios_do_not_sync_instance;