#define _USE_MATH_DEFINES #define _CRT_SECURE_NO_WARNINGS #include using namespace std; /*BigInteger #include #include #include namespace xxx = boost::multiprecision; using Bint = xxx::cpp_int; using Real = xxx::number>; */ #define int long long #define pb(x) push_back(x) #define m0(x) memset((x), 0, sizeof(x)) #define mm(x) memset((x), -1, sizeof(x)) //container #define ALL(x) (x).begin(), (x).end() #define RALL(a) (a).rbegin(), (a).rend() #define EACH(i, c) for (typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i) #define EXIST(s, e) ((s).find(e) != (s).end()) #define UNIQUE(v) (v).erase(unique((v).begin(), (v).end()), (v).end()); #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) // debug #define GET_VAR_NAME(variable) #variable #define test(x) cout << GET_VAR_NAME(x) << " = " << x << endl; // bit_macro #define bit(n) (1LL << (n)) #define bitset(a, b) (a) |= (1 << (b)) #define bitunset(a, b) (a) &= ~(1 << (b)) #define bitcheck(a, b) ((((a) >> (b)) & 1) == 1) #define bitcount(a) __builtin_popcountll((a)) //typedef typedef long long lint; typedef unsigned long long ull; typedef complex Complex; typedef pair P; typedef tuple TP; typedef vector vec; typedef vector mat; //constant constexpr int INF = (int)1e18; constexpr int MOD = (int)1e9 + 7; constexpr double PI = (double)acos(-1); constexpr double EPS = (double)1e-10; constexpr int dx[] = {-1, 0, 0, 1, 0, -1, -1, 1, 1}; constexpr int dy[] = {0, -1, 1, 0, 0, 1, -1, 1, -1}; // template void chmax(T &a, T b) { a = max(a, b); } template void chmin(T &a, T b) { a = min(a, b); } // inline int toInt(string s) { int v; istringstream sin(s); sin >> v; return v; } template inline string toString(T x) { ostringstream sout; sout << x; return sout.str(); } // struct Accelerate_Cin { Accelerate_Cin() { cin.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(20); }; }; signed main() { int N; cin >> N; vector v[10101]; vector r(10101); vector a; for (int i = 1; i <= bit(N); i++) { for (int j = 1; j <= N; j++) { int tmp; cin >> tmp; v[i].push_back(tmp); } cin >> r[i]; if (r[i] == 1) a.push_back(i); } bool no = true, yes = true; for (int i = 1; i <= bit(N); i++) { if (r[i] == 0) { yes = false; } if (r[i] == 1) { no = false; } } if (yes) { cout << "A=⊤" << endl; return 0; } if (no) { cout << "A=⊥" << endl; return 0; } cout << "A="; for (int j = 0; j < a.size(); j++) { cout << "("; for (int i = 1; i <= N; i++) { if (i != 1) cout << "∧"; if (v[a[i]][i] == 0) cout << "¬"; cout << "P_"; cout << i; } if (j - 1 != a.size()) cout << ")∨"; else { cout << ")" << endl; } } return 0; }