#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 998244353; // constexpr int MOD = 1000000007; constexpr int DY4[]{1, 0, -1, 0}, DX4[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}; constexpr int DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; void query(const int i, const int k) { cout << i + 1 << ' ' << k << endl; int ret; cin >> ret; if (ret == -1) exit(0); } int main() { constexpr int B = 16; int n; cin >> n; vector a(n); REP(i, n) cin >> a[i]; set stand[B]{}; REP(i, n) REP(bit, B) { if (a[i] >> bit & 1) stand[bit].emplace(i); } int x = 0; REP(i, n) x ^= a[i]; const auto sub = [&](const int i, const int k) -> void { REP(bit, B) { if (a[i] >> bit & 1) assert(stand[bit].erase(i) == 1); } x ^= a[i]; a[i] -= k; x ^= a[i]; REP(bit, B) { if (a[i] >> bit & 1) assert(stand[bit].emplace(i).second); } }; const auto judge = [&]() -> void { int i, k, ret; cin >> i >> k >> ret; --i; if (ret == -1) exit(0); sub(i, k); }; if (x == 0) { cout << '0' << endl; judge(); } else { cout << '1' << endl; } while (true) { assert(x > 0); const int msb = 31 - __builtin_clz(x); const int i = *stand[msb].begin(); query(i, a[i] - (a[i] ^ x)); sub(i, a[i] - (a[i] ^ x)); judge(); } return 0; }