#include using namespace std; #define OVERLOAD_REP(_1, _2, _3, name, ...) name #define REP1(i, n) for (auto i = std::decay_t{}; (i) != (n); ++(i)) #define REP2(i, l, r) for (auto i = (l); (i) != (r); ++(i)) #define rep(...) OVERLOAD_REP(__VA_ARGS__, REP2, REP1)(__VA_ARGS__) #define REP(i, l, r) rep(i, l, r+1) #define all(x) (x).begin(),(x).end() #define rall(x) (x).rbegin(),(x).rend() using ll = long long; using ld = long double; using P = pair; struct Edge { int to; ll w; }; using Graph = vector >; //using Graph = vector >; const ll INF = 2e18; //const int INF = 2e9; template using vc = vector; template using vv = vector >; template using vvv = vector > >; template using pq = priority_queue; template using pq_g = priority_queue, greater >; template istream& operator>>(istream& i, vc& v) { rep(j, 0, v.size()) i>>v[j]; return i; } template ostream& operator<<(ostream& o, vc& v) { rep(j, 0, v.size()) o< bool chmin(T& a, T b) { if(a > b) { a = b; return true; } return false; } template bool chmax(T& a, T b) { if(a < b) { a = b; return true; } return false; } class Timer{ chrono::system_clock::time_point start; public: Timer() : start(chrono::system_clock::now()) {} double count(){ chrono::duration Time_ = chrono::system_clock::now() - start; return Time_.count(); } bool is_under(double x){ return (this -> count()) < x; } }; // std::uniform_int_distributionを利用した一様乱数生成クラス class Random_Gen{ random_device seed_gen; mt19937 engine; uniform_int_distribution dist; public: // Constructor [l,r]で生成する値の範囲を指定 Random_Gen() : engine(seed_gen()) {} Random_Gen(int64_t l, int64_t r) : engine(seed_gen()), dist(l,r) {} // 現在の生成する値の範囲をstd::pairで返す pair get_range(){ return make_pair(dist.min(),dist.max()); } // 生成する値の範囲を[l,r]に変更する void set_range(int64_t l, int64_t r){ uniform_int_distribution::param_type Param(l,r); dist.param(Param); } // [l,r]内の一様分布の整数を返す int64_t gen(){ return dist(engine); } int64_t operator()(){ return gen(); } }; ll mod = 100000000; ll score(const vv& a, const vc& solv) { int N = a.size(); vv res(N); rep(i, 0, N) res[i].resize(i+1); rep(i, 0, N) res[N-1][i] = solv[i]; ll score = 0; for(int i = N-2; i >= 0; i--) { rep(j, 0, i+1) { res[i][j] = (res[i+1][j] + res[i+1][j+1]) % mod; } } rep(i, 0, N) rep(j, 0, i+1) score += min(abs(a[i][j]-res[i][j]), mod-abs(a[i][j]-res[i][j])); return score; } int main() { // 高速化 ios::sync_with_stdio(false); cin.tie(nullptr); // 小数点の出力桁数を指定 cout << fixed << setprecision(10); // メイン int N; cin >> N; vv a(N); rep(i, 0, N) a[i].resize(i+1); rep(i, 0, N) cin >> a[i]; vc solv(N); rep(i, 0, N) solv[i] = a[N-1][i]; Timer timer; Random_Gen random(0, N), randnum(0, 100000000); ll curscore = score(a, solv); while(true) { if(!timer.is_under(1.85)) break; { int b, c; b = random(), c = random(); vc nsolve(solv); swap(nsolve[b], nsolve[c]); ll s = score(a, nsolve); if(s < curscore) { solv = nsolve; curscore = s; } } { int p = random(); int d = randnum(); vc nsolve(solv); nsolve[p] = d; ll s = score(a, nsolve); if(s < curscore) { solv = nsolve; curscore = s; } } } rep(i, 0, N) cout << solv[i] << endl; return 0; }