#include #include #include using namespace std; int Bisect_Int(long long ok, long long ng, const function& is_ok) { while (abs(ok - ng) > 1) { long long mid = (ok + ng) / 2; if (is_ok(mid)) { ok = mid; } else { ng = mid; } } return ok; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int N; cin >> N; vector K(N), L(N), D(N); for (int i = 0; i < N; ++i) { cin >> K[i] >> L[i] >> D[i]; } auto is_ok = [&](long long ans) { vector where; for (int i = 0; i < N; ++i) { if (ans >= L[i]) { where.push_back(i); } } int sum = 0; for (int idx : where) { sum += min(K[idx], ((ans - L[idx]) >> D[idx]) + 1) % 2; } return sum % 2; }; long long ans = Bisect_Int(1LL << 60, -1LL, is_ok); cout << ans << endl; return 0; }