#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } const std::vector> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif #include #include struct rand_int_ { using lint = long long; std::mt19937 mt; rand_int_() : mt(42) {} // rand_int_() : mt(std::chrono::steady_clock::now().time_since_epoch().count()) {} lint operator()(lint x) { return this->operator()(0, x); } // [0, x) lint operator()(lint l, lint r) { std::uniform_int_distribution d(l, r - 1); return d(mt); } } rnd; struct Solver { int x, y; Solver(int X, int Y) : x(X), y(Y) {} int Get(int i) { assert(0 <= i and i < 3); cout << "? " << (char)('A' + i) << endl; int res; cin >> res; return res; } void Sum(int in1, int in2, int out) { assert(0 <= in1 and in1 < 3); assert(0 <= in2 and in2 < 3); assert(0 <= out and out < 3); cout << "+ " << (char)('A' + in1) << ' ' << (char)('A' + in2) << ' ' << (char)('A' + out) << endl; int res; cin >> res; assert(res == 0); } void Fin(int var) { assert(0 <= var and var < 3); cout << "! " << (char)('A' + var) << endl; } }; struct Judge { // int x, y; array state; int nq = 0; Judge(int X, int Y) { state = {X, Y, 0}; } int Get(int i) { assert(0 <= i and i < 3); ++nq; if (rnd(0, 5) == 0) { return 8888888; } else { return state.at(i); } } void Sum(int in1, int in2, int out) { assert(0 <= in1 and in1 < 3); assert(0 <= in2 and in2 < 3); assert(0 <= out and out < 3); if (rnd(0, 5) == 0) { state.at(out) = 8888888; } else { state.at(out) = state.at(in1) + state.at(in2); } } void Fin(int var) { assert(0 <= var and var < 3); cerr << state << ' ' << nq << ' ' << state.at(var) << endl; } }; int main() { // int X, Y; // cin >> X >> Y; // dbg(X * Y); // Judge solver{X, Y}; Solver tmp{0, 0}; auto GetVal = [&](int i) { map mp; REP(_, 100) { mp[tmp.Get(i)]++; } int best = -1, argbest = -1; for (auto [k, v] : mp) { if (chmax(best, v)) argbest = k; } return argbest; }; const int X = GetVal(0), Y = GetVal(1); Solver solver{X, Y}; vector exp_vals{X, Y, 0}; auto try_add = [&](int from1, int from2, int to) { dbg(make_tuple(exp_vals, from1, from2, to)); assert(from1 != to); assert(from2 != to); exp_vals.at(to) = exp_vals.at(from1) + exp_vals.at(from2); while (true) { solver.Sum(from1, from2, to); int suc = 0, fail = 0; REP(_, 5) { int res = solver.Get(to); (res == exp_vals.at(to) ? suc : fail)++; } if (suc >= 4) break; } }; int truepos = 2; int now = 0; auto nibai = [&]() { if (now == 0) return; const int nxt_truepos = truepos == 1 ? 2 : 1; assert(truepos != nxt_truepos); try_add(truepos, truepos, nxt_truepos); now *= 2; truepos = nxt_truepos; }; auto addx = [&]() { const int nxt_truepos = truepos == 1 ? 2 : 1; assert(truepos != nxt_truepos); try_add(truepos, 0, nxt_truepos); now += X; truepos = nxt_truepos; }; IREP(d, 10) { nibai(); if (Y & (1 << d)) addx(); } solver.Fin(truepos); }