#pragma GCC optimize("O3") #include // clang-format off using namespace std; using ll = long long int; #define all(v) (v).begin(),(v).end() #define repeat(cnt,l) for(typename remove_const::type>::type cnt={};(cnt)<(l);++(cnt)) #define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt)) #define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt)) #define upto(cnt,b,e,step) for(auto cnt=(b);(cnt)<=(e);(cnt)+=(step)) #define downto(cnt,b,e,step) for(auto cnt=(b);(e)<=(cnt);(cnt)-=(step)) const long long MD = 998244353; const long double PI = 3.1415926535897932384626433832795L; template inline ostream& operator <<(ostream &o, const pair p) { o << '(' << p.first << ':' << p.second << ')'; return o; } template inline T& chmax(T& to, const T& val) { return to = max(to, val); } template inline T& chmin(T& to, const T& val) { return to = min(to, val); } void bye(string s, int code = 0) { cout << s << endl; exit(code); } mt19937_64 randdev(8901016); template::value>::type* = nullptr> inline T rand(T l, T h, Random& rand = randdev) { return uniform_int_distribution(l, h)(rand); } template::value>::type* = nullptr> inline T rand(T l, T h, Random& rand = randdev) { return uniform_real_distribution(l, h)(rand); }template static ostream& operator<<(ostream& o, const std::vector& v) { o << "[ "; for(const auto& e : v) o< struct MyRangeFormat{ I b,e; MyRangeFormat(I _b, I _e):b(_b),e(_e){} }; template static ostream& operator<<(ostream& o, const MyRangeFormat& f) { o << "[ "; iterate(i,f.b,f.e) o<<*i<<' '; return o << ']'; } template struct MyMatrixFormat{ const I& p; long long n, m; MyMatrixFormat(const I& _p, long long _n, long long _m):p(_p),n(_n),m(_m){} }; template static ostream& operator<<(ostream& o, const MyMatrixFormat& f) { o<<'\n'; repeat(i,(f.n)) { repeat(j,f.m) o<(m,m+w)) #define FMTR(b,e) (MyRangeFormat(b,e)) #define FMTV(v) FMTR(v.begin(),v.end()) #define FMTM(m,h,w) (MyMatrixFormat(m,h,w)) #if defined(_WIN32) || defined(_WIN64) #define getc_x _getc_nolock #define putc_x _putc_nolock #elif defined(__GNUC__) #define getc_x getc_unlocked #define putc_x putc_unlocked #else #define getc_x getc #define putc_x putc #endif class MaiScanner { FILE* fp_; constexpr bool isvisiblechar(char c) noexcept { return (0x21<=(c)&&(c)<=0x7E); } public: inline MaiScanner(FILE* fp):fp_(fp){} template void input_integer(T& var) noexcept { var = 0; T sign = 1; int cc = getc_x(fp_); for (; cc < '0' || '9' < cc; cc = getc_x(fp_)) if (cc == '-') sign = -1; for (; '0' <= cc && cc <= '9'; cc = getc_x(fp_)) var = (var << 3) + (var << 1) + cc - '0'; var = var * sign; } inline int c() noexcept { return getc_x(fp_); } template::value, nullptr_t>::type = nullptr> inline MaiScanner& operator>>(T& var) noexcept { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getc_x(fp_); for (; !isvisiblechar(cc); cc = getc_x(fp_)); for (; isvisiblechar(cc); cc = getc_x(fp_)) var.push_back(cc); return *this; } template inline void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; class MaiPrinter { FILE* fp_; public: inline MaiPrinter(FILE* fp):fp_(fp){} template void output_integer(T var) noexcept { if (var == 0) { putc_x('0', fp_); return; } if (var < 0) putc_x('-', fp_), var = -var; char stack[32]; int stack_p = 0; while (var) stack[stack_p++] = '0' + (var % 10), var /= 10; while (stack_p) putc_x(stack[--stack_p], fp_); } inline MaiPrinter& operator<<(char c) noexcept { putc_x(c, fp_); return *this; } template::value, nullptr_t>::type = nullptr> inline MaiPrinter& operator<<(T var) noexcept { output_integer(var); return *this; } inline MaiPrinter& operator<<(const char* str_p) noexcept { while (*str_p) putc_x(*(str_p++), fp_); return *this; } inline MaiPrinter& operator<<(const string& str) { const char* p = str.c_str(); const char* l = p + str.size(); while (p < l) putc_x(*p++, fp_); return *this; } template void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin : *this << *begin; } }; MaiScanner scanner(stdin); MaiPrinter printer(stdout); // clang-format on template class Timer { std::chrono::system_clock::time_point tp_; public: static inline auto now() { return std::chrono::system_clock::now(); } inline void tic() { tp_ = now(); } inline auto toc() const { return std::chrono::duration_cast(now() - tp_).count(); } inline Timer() : tp_(now()) {} }; inline std::ostream &operator<<(std::ostream &o, const Timer<> &t) { return o << (long long)t.toc(); } struct P { using T = int; T y, x; constexpr inline explicit P(T _y, T _x) : y(_y), x(_x) {} constexpr inline P() : y(0), x(0) {} constexpr inline bool operator==(P p) const { return y == p.y && x == p.x; } constexpr inline bool operator!=(P p) const { return y != p.y || x != p.x; } constexpr inline bool operator<(P p) const { return y == p.y ? x < p.x : y < p.y; } constexpr inline P operator+(P p) const { return P(y + p.y, x + p.x); } constexpr inline P operator-(P p) const { return P(y - p.y, x - p.x); } inline P &operator+=(P p) { y += p.y; x += p.x; return *this; } inline P &operator-=(P p) { y -= p.y; x -= p.x; return *this; } inline P &operator*=(T m) { y *= m; x *= m; return *this; } inline T distM(P p) const { return abs(y - p.y) + abs(x - p.x); } inline T distC(P p) const { return max(abs(y - p.y), abs(x - p.x)); } template ITR nearestM(ITR begin, ITR end) const { if (begin == end) return end; T best = distM(*begin); ITR besti = begin; for (ITR it = begin; ++it, it != end;) { T m = distM(*it); if (best < m) { best = m; besti = it; } } return besti; } }; inline ostream &operator<<(ostream &os, P p) { os << '(' << p.y << ',' << p.x << ')'; return os; } const P FourMoving[] = {P(-1, 0), P(0, 1), P(1, 0), P(0, -1)}; const P FiveMoving[] = {P(-1, 0), P(0, 1), P(1, 0), P(0, -1), P(0, 0)}; const P EightMoving[] = {P(-1, 0), P(0, 1), P(1, 0), P(0, -1), P(-1, -1), P(-1, 1), P(1, -1), P(1, 1)}; inline P operator*(P::T m, P p) noexcept { return P(m * p.y, m * p.x); } template // using T = int; struct F { int height, width; vector data; explicit F(int h, int w) : height(h), width(w), data(h * w) {} F() : F(1, 1) {} inline bool safe(int y, int x) const { return 0 <= y && y < height && 0 <= x && x < width; } inline bool safe(P p) const { return 0 <= p.y && p.y < height && 0 <= p.x && p.x < width; } #if 1 void assert_safe(int y, int x) const { if (!safe(y, x)) { clog << "assertion failed: field=" << height << "x" << width << ": try=" << y << "," << x << endl; assert(safe(y, x)); } } inline T &operator()(int y, int x) { assert_safe(y, x); return data[x + y * width]; } inline T &operator()(P p) { assert_safe(p.y, p. x); return data[p.x + p.y * width]; } inline T operator()(int y, int x) const { assert_safe(y, x); return data[x + y * width]; } inline T operator()(P p) const { assert_safe(p.y, p.x); return data[p.x + p.y * width]; } #else inline T &operator()(int y, int x) { return data[x + y * width]; } inline T &operator()(P p) { return data[p.x + p.y * width]; } inline T operator()(int y, int x) const { return data[x + y * width]; } inline T operator()(P p) const { return data[p.x + p.y * width]; } #endif inline T getA(int i) const { return data[i]; } inline T &getAmut(int i) { return data[i]; } inline void fill(T e) { std::fill(data.begin(), data.end(), e); } inline void resize(int h, int w) { height = h; width = w; data.resize(h * w); } void print(ostream &os, int setw_arg = 4) { for (int y = 0; y < height; ++y) { for (int x = 0; x < width; ++x) os << setw(setw_arg) << operator()(y, x) << ' '; os << '\n'; } } }; class CommandLine { map params; void initializeInternal(int argc, char **argv) { for (int i = 1; i < argc; ++i) { if (argv[i][0] == '-') { // TODO: `=` 区切りにしたい if (i + 1 < argc) { params.emplace(argv[i], argv[i + 1]); i += 1; } } } } CommandLine() = default; public: static CommandLine &get() { static CommandLine g; return g; } static void initialize(int argc, char **argv) { get().initializeInternal(argc, argv); } const string &str(const string &key) { static const string empty_str; auto it = params.find(key); if (it == params.end()) { return empty_str; } return it->second; } long long number(const string &key, long long default_value = 0) { auto it = params.find(key); if (it == params.end()) { return default_value; } return atoi(it->second.c_str()); } }; // namespace appenv { // 起動引数 int g_k_parameter = 4; } // namespace appenv // ---------------------------------------------------------------------------- // グリッドのサイズ constexpr int N = 10; // 操作回数最大 constexpr int T = 1000; // オンラインクエリなら不要 // オフラインクエリなら実装する struct PInput { F grid; }; struct PAnswer { string commands; }; // ------------------------------------ class Judge { public: // オフラインクエリなら実装をそのまま使う virtual const PInput &input() = 0; virtual void output(const PAnswer &ans) = 0; virtual int score() = 0; }; // class JudgeStdio : public Judge { bool loaded_ = false; PInput pi_; int score_ = 0; public: const PInput &input() override { if (loaded_) return pi_; int n, t; scanner >> n >> t; assert(n == N && t == T); pi_.grid.resize(N, N); repeat(y, N) { repeat(x, N) { int a; scanner >> a; pi_.grid(y, x) = a; } } loaded_ = true; return pi_; } void output(const PAnswer &ans) override { for (char c : ans.commands) { printer << c << "\n"; } } int score() override { return 0; } }; // ---------------------------------------------------------------------------- struct Emulator { F grid_; P current_pos_; bool error_ = false; int value_ = 0; Emulator(const PInput &input) : grid_(input.grid), current_pos_(0, 0) {} P getCurrentPosition() const { return current_pos_; } bool hasError() const { return error_; } int getValue() const { return value_; } void applyCommand(char command) { if (error_) return; switch (command) { case 'U': if (grid_.safe(current_pos_.y - 1, current_pos_.x)) { current_pos_.y -= 1; } else { error_ = true; } break; case 'D': if (grid_.safe(current_pos_.y + 1, current_pos_.x)) { current_pos_.y += 1; } else { error_ = true; } break; case 'L': if (grid_.safe(current_pos_.y, current_pos_.x - 1)) { current_pos_.x -= 1; } else { error_ = true; } break; case 'R': if (grid_.safe(current_pos_.y, current_pos_.x + 1)) { current_pos_.x += 1; } else { error_ = true; } break; case 'W': grid_(current_pos_) ^= value_; break; case 'C': value_ ^= grid_(current_pos_); break; default: error_ = true; // 不明なコマンド } } }; string genereteCommandMoveTo(P curr, P target) { string commands; while (curr != target) { if (curr.y < target.y) { commands += 'D'; curr.y += 1; } else if (curr.y > target.y) { commands += 'U'; curr.y -= 1; } else if (curr.x < target.x) { commands += 'R'; curr.x += 1; } else if (curr.x > target.x) { commands += 'L'; curr.x -= 1; } } return commands; } // ---------------------------------------------------------------------------- /* 基本方針 グリッドは忘れていい 実装が面倒なだけ 総和を最大化なので上の方のビットが立っていると嬉しい すべての要素について一番上のビットが立っている状態にするのは簡単 → 立っているものを選び、立っていないものにxorしていく 次の手がない。なぜなら、すべての要素で一番上のビットが立っているので、次にxorすると必ず一番上のビットが消滅する → No、手持ちの値も xor で編集されるので、なんかそれなりに錬成できる */ void applyTo(Emulator &emulator, string &out_commands, const vector

&targets, char apply_command) { for (const P &target : targets) { string move_commands = genereteCommandMoveTo(emulator.getCurrentPosition(), target); for (char command : move_commands) { emulator.applyCommand(command); } emulator.applyCommand(apply_command); out_commands += move_commands; out_commands += apply_command; } } // fi: 下からみて最初に立っているビットの位置 bool isValidClz(int value, int fi) { if (value == 0) return false; // 0は無効 int clz = countl_zero(value); int x = 31 - clz; // 0-indexed return fi == x; } // (CurrentValue ^ res1 ^ res2 ^ ...) = 0001xxx..となるような組を探す // TODO: 改善 vector

findBestXorCell(const F &grid, int current_value, int fi) { for (int y = 0; y < N; ++y) { for (int x = 0; x < N; ++x) { P p(y, x); if (isValidClz(current_value ^ grid(p), fi)) { return {p}; } } } upto(cnt, 2, 16, 1) { repeat(t, 1000) { vector

candidates; int value = current_value; repeat(i, cnt) { int y = rand(N - 1, N - 1); int x = rand(0, N - 1); candidates.push_back(P(y, x)); value ^= grid(P(y, x)); } if (isValidClz(value, fi)) { return candidates; } } } return {}; } // (CurrentValue ^ cell) & mask = mask となるような場所をすべて探す vector

findXorCells(const F &grid, int current_value, int mask) { vector

result; for (int y = 0; y < N - 1; ++y) { // TODO: workaround: 下の方はfindBestXorCellのために無修正 for (int x = 0; x < N; ++x) { P p(y, x); if (((current_value ^ grid(p)) & mask) == mask) { result.push_back(p); } } } return result; } template void printTable(OutputStream &out, const F &grid) { for (int y = 0; y < N; ++y) { for (int x = 0; x < N; ++x) { rrepeat(i, 20) { out << !!(grid(y, x) & (1 << i)); } out << ' '; } out << '\n'; } } string int2bin(int n) { string result; for (int i = 19; i >= 0; --i) { result += !!(n & (1 << i)) + '0'; } return result; } // オフラインクエリ用(使うのはPInput) class SolverOfflineSample { const PInput &input_; SolverOfflineSample(const PInput &input) : input_(input) {} PAnswer solve() { string output_commands; Emulator emulator(input_); int mask = 0; rrepeat(i, 20) { mask |= 1 << i; int printer_mask = 1 << i; vector

targets = findBestXorCell(emulator.grid_, emulator.getValue(), i); if (targets.empty()) { break; } applyTo(emulator, output_commands, targets, 'C'); vector

xor_cells = findXorCells(emulator.grid_, emulator.getValue(), mask); LOG << "mask = " << int2bin(mask) << " printer_mask = " << int2bin(printer_mask) << " value = " << int2bin(emulator.getValue()) << " xor_cells.len = " << xor_cells.size() << endl; if (xor_cells.empty()) { continue; } applyTo(emulator, output_commands, xor_cells, 'W'); printTable(clog, emulator.grid_); } PAnswer ans; LOG << "commands.len = " << output_commands.size(); if (output_commands.size() > T) { output_commands.resize(T); } ans.commands = output_commands; return ans; } public: const static void solve(Judge &judge) { const PInput &input = judge.input(); SolverOfflineSample solver(input); judge.output(solver.solve()); } }; // void appMain() { JudgeStdio judge; SolverOfflineSample::solve(judge); // clog << "score = " << judge.score() << endl; } // #define LOAD_CONSTANT_FROM_ARGS(konst, arg) \ { \ const string &v = CommandLine::get().str(arg); \ if (!v.empty()) \ konst = atoi(v.c_str()); \ } int main(int argc, char **argv) { using namespace appenv; CommandLine::initialize(argc, argv); LOAD_CONSTANT_FROM_ARGS(g_k_parameter, "--a-parater"); appMain(); return 0; }