// includes #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include // macros #define ll long long int #define pb emplace_back #define mk make_pair #define pq priority_queue #define FOR(i, a, b) for (int i = (a); i < (b); ++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for (int i = ((int)(n)-1); i >= 0; i--) #define all(x) (x).begin(), (x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) using namespace std; // types typedef pair P; typedef pair Pl; typedef pair Pll; typedef pair Pd; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1e9 + 7; // solve template bool chmax(T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; } bool q[5000][13]; bool r[5000]; int main(int argc, char const *argv[]) { ios_base::sync_with_stdio(false); cin.tie(0); int n; cin >> n; bool a0 = true, a1 = true; rep(i, (1 << n)) { rep(j, n) cin >> q[i][j]; cin >> r[i]; if (r[i]) a0 = false; if (!r[i]) a1 = false; } cout << "A="; if (a0) { cout << "⊥" << endl; return 0; } if (a1) { cout << "⊤" << endl; return 0; } bool ok = false; for (int i = 0; i < (1 << n); i++) { if (r[i]) { if (ok) cout << "∨"; ok = true; cout << "("; for (int j = 0; j < n; j++) { if (j != 0) cout << "∧"; if (!q[i][j]) cout << "¬"; cout << "P_" << to_string(j + 1); } cout << ")"; } } cout << endl; return 0; }