#line 1 "/home/maspy/compro/library/my_template.hpp" #if defined(LOCAL) #include #else // https://codeforces.com/blog/entry/96344 #pragma GCC optimize("Ofast,unroll-loops") // いまの CF だとこれ入れると動かない? // #pragma GCC target("avx2,popcnt") #include using namespace std; using ll = long long; using u32 = unsigned int; using u64 = unsigned long long; using i128 = __int128; using u128 = unsigned __int128; using f128 = __float128; template constexpr T infty = 0; template <> constexpr int infty = 1'010'000'000; template <> constexpr ll infty = 2'020'000'000'000'000'000; template <> constexpr u32 infty = infty; template <> constexpr u64 infty = infty; template <> constexpr i128 infty = i128(infty) * 2'000'000'000'000'000'000; template <> constexpr double infty = infty; template <> constexpr long double infty = infty; using pi = pair; using vi = vector; template using vc = vector; template using vvc = vector>; template using vvvc = vector>; template using vvvvc = vector>; template using vvvvvc = vector>; template using pq = priority_queue; template using pqg = priority_queue, greater>; #define vv(type, name, h, ...) \ vector> name(h, vector(__VA_ARGS__)) #define vvv(type, name, h, w, ...) \ vector>> name( \ h, vector>(w, vector(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector>>> name( \ a, vector>>( \ b, vector>(c, vector(__VA_ARGS__)))) // https://trap.jp/post/1224/ #define FOR1(a) for (ll _ = 0; _ < ll(a); ++_) #define FOR2(i, a) for (ll i = 0; i < ll(a); ++i) #define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i) #define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c)) #define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i) #define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i) #define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i) #define overload4(a, b, c, d, e, ...) e #define overload3(a, b, c, d, ...) d #define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__) #define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__) #define FOR_subset(t, s) \ for (ll t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s))) #define all(x) x.begin(), x.end() #define len(x) ll(x.size()) #define elif else if #define eb emplace_back #define mp make_pair #define mt make_tuple #define fi first #define se second #define stoi stoll int popcnt(int x) { return __builtin_popcount(x); } int popcnt(u32 x) { return __builtin_popcount(x); } int popcnt(ll x) { return __builtin_popcountll(x); } int popcnt(u64 x) { return __builtin_popcountll(x); } int popcnt_mod_2(int x) { return __builtin_parity(x); } int popcnt_mod_2(u32 x) { return __builtin_parity(x); } int popcnt_mod_2(ll x) { return __builtin_parityll(x); } int popcnt_mod_2(u64 x) { return __builtin_parityll(x); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2) int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2) int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } template T floor(T a, T b) { return a / b - (a % b && (a ^ b) < 0); } template T ceil(T x, T y) { return floor(x + y - 1, y); } template T bmod(T x, T y) { return x - y * floor(x, y); } template pair divmod(T x, T y) { T q = floor(x, y); return {q, x - q * y}; } template T SUM(const vector &A) { T sm = 0; for (auto &&a: A) sm += a; return sm; } #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) #define LB(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define UB(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define UNIQUE(x) \ sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit() template T POP(deque &que) { T a = que.front(); que.pop_front(); return a; } template T POP(pq &que) { T a = que.top(); que.pop(); return a; } template T POP(pqg &que) { T a = que.top(); que.pop(); return a; } template T POP(vc &que) { T a = que.back(); que.pop_back(); return a; } template ll binary_search(F check, ll ok, ll ng, bool check_ok = true) { if (check_ok) assert(check(ok)); while (abs(ok - ng) > 1) { auto x = (ng + ok) / 2; (check(x) ? ok : ng) = x; } return ok; } template double binary_search_real(F check, double ok, double ng, int iter = 100) { FOR(iter) { double x = (ok + ng) / 2; (check(x) ? ok : ng) = x; } return (ok + ng) / 2; } template inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } // ? は -1 vc s_to_vi(const string &S, char first_char) { vc A(S.size()); FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); } return A; } template vector cumsum(vector &A, int off = 1) { int N = A.size(); vector B(N + 1); FOR(i, N) { B[i + 1] = B[i] + A[i]; } if (off == 0) B.erase(B.begin()); return B; } // stable sort template vector argsort(const vector &A) { vector ids(len(A)); iota(all(ids), 0); sort(all(ids), [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); }); return ids; } // A[I[0]], A[I[1]], ... template vc rearrange(const vc &A, const vc &I) { vc B(len(I)); FOR(i, len(I)) B[i] = A[I[i]]; return B; } template vc concat(vc &first, const Vectors &... others) { vc res = first; (res.insert(res.end(), others.begin(), others.end()), ...); return res; } #endif #line 1 "/home/maspy/compro/library/other/io2.hpp" #define INT(...) \ int __VA_ARGS__; \ IN(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ IN(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ IN(__VA_ARGS__) #define CHR(...) \ char __VA_ARGS__; \ IN(__VA_ARGS__) #define DBL(...) \ long double __VA_ARGS__; \ IN(__VA_ARGS__) #define VEC(type, name, size) \ vector name(size); \ read(name) #define VV(type, name, h, w) \ vector> name(h, vector(w)); \ read(name) void read(int &a) { cin >> a; } void read(long long &a) { cin >> a; } void read(char &a) { cin >> a; } void read(double &a) { cin >> a; } void read(long double &a) { cin >> a; } void read(string &a) { cin >> a; } template void read(pair &p) { read(p.first), read(p.second); } template void read(vector &a) { for (auto &i: a) read(i); } template void read(T &a) { cin >> a; } void IN() {} template void IN(Head &head, Tail &... tail) { read(head); IN(tail...); } template ostream &operator<<(ostream &os, const pair &A) { os << A.fi << " " << A.se; return os; } template ostream &operator<<(ostream &os, const vector &A) { for (size_t i = 0; i < A.size(); i++) { if (i) os << " "; os << A[i]; } return os; } // chatgpt helped me class CoutInitializer { public: CoutInitializer() { std::cout << std::fixed << std::setprecision(15); } }; static CoutInitializer init; void print() { cout << "\n"; cout.flush(); } template void print(Head &&head, Tail &&... tail) { cout << head; if (sizeof...(Tail)) cout << " "; print(forward(tail)...); } void YES(bool t = 1) { print(t ? "YES" : "NO"); } void NO(bool t = 1) { YES(!t); } void Yes(bool t = 1) { print(t ? "Yes" : "No"); } void No(bool t = 1) { Yes(!t); } void yes(bool t = 1) { print(t ? "yes" : "no"); } void no(bool t = 1) { yes(!t); } #line 2 "/home/maspy/compro/library/random/base.hpp" u64 RNG_64() { static uint64_t x_ = uint64_t(chrono::duration_cast( chrono::high_resolution_clock::now().time_since_epoch()) .count()) * 10150724397891781847ULL; x_ ^= x_ << 7; return x_ ^= x_ >> 9; } u64 RNG(u64 lim) { return RNG_64() % lim; } ll RNG(ll l, ll r) { return l + RNG_64() % (r - l); } #line 4 "main.cpp" using Re = double; void solve() { LL(N); // つかわんなあ ll LIM = 2 * N; #if defined(LOCAL) ll x1, y1, x2, y2; while (1) { x1 = RNG(-N, N + 1); y1 = RNG(-N, N + 1); x2 = RNG(-N, N + 1); y2 = RNG(-N, N + 1); if (x1 == 0 && y1 == 0) continue; if (x2 == 0 && y2 == 0) continue; if (x1 * x2 + y1 * y2 == 0) break; } #endif // 円との内外 auto ask = [&](ll x, ll y) -> int { #if defined(LOCAL) ll dot = (x1 - x) * (x2 - x) + (y1 - y) * (y2 - y); print(1, x, y, dot); if (dot == 0) return 0; if (dot > 0) return -1; if (dot < 0) return 1; #endif print(1, x, y); char ch; read(ch); LL(u, v); if (ch == '?') return 0; if (ch == '-') return 1; if (ch == '0') return 0; if (ch == '+') return -1; assert(0); }; ll x = [&]() -> ll { auto check = [&](ll x) -> bool { return ask(x, 0) >= 0; }; if (check(1)) { return binary_search(check, 0, LIM); } elif (check(-1)) { return binary_search(check, 0, -LIM); } else { return 0; } }(); ll y = [&]() -> ll { auto check = [&](ll y) -> bool { return ask(0, y) >= 0; }; if (check(1)) { return binary_search(check, 0, LIM); } elif (check(-1)) { return binary_search(check, 0, -LIM); } else { return 0; } }(); auto F = [&](ll x) -> string { if (x == 0) return "0"; string S; if (x < 0) { S = "-"; x = -x; } auto [a, b] = divmod(x, 4); S += to_string(a); if (b == 1) S += ".25"; if (b == 2) S += ".5"; if (b == 3) S += ".75"; return S; }; Re ans_x = x * 0.5; Re ans_y = y * 0.5; Re ans_rr = (x * x + y * y) * 0.25; print(2, ans_x, ans_y, ans_rr); // print(2, F(2 * x), F(2 * y), F(x * x + y * y)); #if defined(LOCAL) print(x1, y1, x2, y2); print(x, y); Re AC_x = (x1 + x2) * 0.5; Re AC_y = (y1 + y2) * 0.5; print(ans_x - AC_x); print(ans_y - AC_y); #endif } signed main() { int T = 1; // INT(T); FOR(T) solve(); return 0; }