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\n#include \n#include \n#include \n#include \n#include \n#include \n#include \n#include \n#include \n#include \n#include \n\n\nnamespace{\n\nclass Block\n{\npublic:\n enum struct Type\n : std::uint_fast8_t\n {\n shunzi = 0u,\n kezi = 1u,\n gangzi = 2u,\n quetou = 3u,\n }; // enum struct Type\n\n Block(Type type, std::uint_fast8_t tile)\n : pack_((static_cast(type) << 6u) | tile)\n {\n assert((type == Type::shunzi || type == Type::kezi || type == Type::gangzi || type == Type::quetou));\n assert((tile < 34u));\n }\n\n Block(Block const &) = default;\n\n Block(Block &&) = default;\n\n Block &operator=(Block const &) = default;\n\n Block &operator=(Block &&) = default;\n\n Type getType() const\n {\n return static_cast((pack_ >> 6u) & 0x3u);\n }\n\n bool isShunzi() const\n {\n return getType() == Type::shunzi;\n }\n\n bool isKezi() const\n {\n return getType() == Type::kezi;\n }\n\n bool isGangzi() const\n {\n return getType() == Type::gangzi;\n }\n\n bool isQuetou() const\n {\n return getType() == Type::quetou;\n }\n\n std::uint_fast8_t getTile() const\n {\n return pack_ & 0x3Fu;\n }\n\n bool operator==(Block const &other) const\n {\n return pack_ == other.pack_;\n }\n\n bool operator!=(Block const &other) const\n {\n return !(*this == other);\n }\n\n bool operator<(Block const &other) const\n {\n return pack_ < other.pack_;\n }\n\nprivate:\n std::uint_fast8_t pack_;\n}; // class Block\n\nusing Blocks = std::vector;\n\nvoid decompose0Impl(\n std::uint_fast8_t i,\n std::uint_fast8_t h,\n std::array &single_color_hand,\n Blocks &blocks,\n std::vector &result)\n{\n assert((i <= 9u));\n assert((h <= 1u));\n\n if (i == 9u) {\n result.push_back(blocks);\n return;\n }\n\n if (single_color_hand[i] >= 3u) {\n single_color_hand[i] -= 3u;\n blocks.emplace_back(Block::Type::kezi, i);\n decompose0Impl(i, h, single_color_hand, blocks, result);\n blocks.pop_back();\n single_color_hand[i] += 3u;\n }\n\n if (single_color_hand[i] >= 2u && h == 0u) {\n single_color_hand[i] -= 2u;\n blocks.emplace_back(Block::Type::quetou, i);\n decompose0Impl(i, h + 1u, single_color_hand, blocks, result);\n blocks.pop_back();\n single_color_hand[i] += 2u;\n }\n\n if (i + 2u < 9u && single_color_hand[i] >= 1u && single_color_hand[i + 1u] >= 1u && single_color_hand[i + 2u] >= 1u) {\n --single_color_hand[i];\n --single_color_hand[i + 1u];\n --single_color_hand[i + 2u];\n blocks.emplace_back(Block::Type::shunzi, i);\n decompose0Impl(i, h, single_color_hand, blocks, result);\n blocks.pop_back();\n ++single_color_hand[i + 2u];\n ++single_color_hand[i + 1u];\n ++single_color_hand[i];\n }\n\n if (single_color_hand[i] == 0u) {\n decompose0Impl(i + 1u, h, single_color_hand, blocks, result);\n }\n}\n\nvoid decompose0(\n std::array const &single_color_hand,\n std::map> &map)\n{\n std::string key(single_color_hand.cbegin(), single_color_hand.cend());\n\n std::vector result;\n {\n std::array single_color_hand_(single_color_hand);\n Blocks blocks;\n decompose0Impl(0u, 0u, single_color_hand_, blocks, result);\n }\n for (Blocks &blocks : result) {\n std::sort(blocks.begin(), blocks.end());\n }\n std::sort(result.begin(), result.end());\n result.erase(std::unique(result.begin(), result.end()), result.end());\n\n auto found = map.find(key);\n if (found == map.cend()) {\n map.emplace(std::move(key), std::move(result));\n }\n else {\n assert((result == found->second));\n }\n}\n\ninline constexpr std::array, 10u> stable{{\n {{4u, 0u, 0u}},\n {{2u, 0u, 1u}},\n {{1u, 1u, 0u}},\n {{3u, 0u, 0u}},\n {{1u, 0u, 1u}},\n {{0u, 1u, 0u}},\n {{2u, 0u, 0u}},\n {{0u, 0u, 1u}},\n {{1u, 0u, 0u}},\n {{0u, 0u, 0u}},\n}};\n\nvoid decompose1Impl(\n std::uint_fast8_t const i,\n std::uint_fast8_t const h,\n std::array &single_color_hand,\n Blocks &blocks,\n std::vector &result)\n{\n assert((i <= 9u));\n assert((h <= 1u));\n\n if (i == 9u) {\n result.push_back(blocks);\n return;\n }\n\n std::uint_fast8_t const x = i + 1u < 9u ? single_color_hand[i + 1u] : 0u;\n std::uint_fast8_t const y = i + 2u < 9u ? single_color_hand[i + 2u] : 0u;\n for (std::uint_fast8_t s = 0u; s < stable.size(); ++s) {\n std::uint_fast8_t const hh = stable[s][2u];\n std::uint_fast8_t const n = stable[s][0u] + 3u * stable[s][1u] + 2u * stable[s][2u];\n std::uint_fast8_t const xy = stable[s][0u];\n if (h + hh > 1u) {\n continue;\n }\n if (n != single_color_hand[i]) {\n continue;\n }\n if (xy > x) {\n continue;\n }\n if (xy > y) {\n continue;\n }\n\n single_color_hand[i] -= n;\n if (i + 1u < 9u) {\n single_color_hand[i + 1u] -= xy;\n }\n if (i + 2u < 9u) {\n single_color_hand[i + 2u] -= xy;\n }\n for (std::uint_fast8_t j = 0u; j < xy; ++j) {\n blocks.emplace_back(Block::Type::shunzi, i);\n }\n if (stable[s][1u] == 1u) {\n blocks.emplace_back(Block::Type::kezi, i);\n }\n if (stable[s][2u] == 1u) {\n blocks.emplace_back(Block::Type::quetou, i);\n }\n decompose1Impl(i + 1u, h + hh, single_color_hand, blocks, result);\n if (stable[s][2u] == 1u) {\n blocks.pop_back();\n }\n if (stable[s][1u] == 1u) {\n blocks.pop_back();\n }\n for (std::uint_fast8_t j = 0u; j < xy; ++j) {\n blocks.pop_back();\n }\n if (i + 2u < 9u) {\n single_color_hand[i + 2u] += xy;\n }\n if (i + 1u < 9u) {\n single_color_hand[i + 1u] += xy;\n }\n single_color_hand[i] += n;\n }\n}\n\nvoid decompose1(\n std::array const &single_color_hand,\n std::map> &map)\n{\n std::string key(single_color_hand.cbegin(), single_color_hand.cend());\n\n std::vector result;\n {\n std::array single_color_hand_(single_color_hand);\n Blocks blocks;\n decompose1Impl(0u, 0u, single_color_hand_, blocks, result);\n }\n for (Blocks &blocks : result) {\n std::sort(blocks.begin(), blocks.end());\n }\n std::sort(result.begin(), result.end());\n\n auto found = map.find(key);\n if (found == map.cend()) {\n map.emplace(std::move(key), std::move(result));\n }\n else {\n assert((result == found->second));\n }\n}\n\nbool decompose2Impl_(\n std::array &single_color_hand,\n std::uint_fast8_t quetou,\n std::array, 34u> &result)\n{\n for (std::uint_fast8_t i = 0u; i < 9u; ++i) {\n if (single_color_hand[i] == 4u) {\n if (quetou == i) {\n if (i + 2u >= 9u || single_color_hand[i + 1u] < 2u || single_color_hand[i + 2u] < 2u) {\n return false;\n }\n single_color_hand[i] -= 4u;\n single_color_hand[i + 1u] -= 2u;\n single_color_hand[i + 2u] -= 2u;\n result[i][0u] += 2u;\n ++result[i][2u];\n continue;\n }\n\n if (i + 2u >= 9u || single_color_hand[i + 1u] == 0u || single_color_hand[i + 2u] == 0u) {\n return false;\n }\n single_color_hand[i] -= 4u;\n --single_color_hand[i + 1u];\n --single_color_hand[i + 2u];\n ++result[i][0u];\n ++result[i][1u];\n continue;\n }\n\n if (single_color_hand[i] == 3u) {\n if (quetou == i) {\n if (i + 2u >= 9u || single_color_hand[i + 1u] == 0u || single_color_hand[i + 2u] == 0u) {\n return false;\n }\n single_color_hand[i] -= 3u;\n --single_color_hand[i + 1u];\n --single_color_hand[i + 2u];\n ++result[i][0u];\n ++result[i][2u];\n continue;\n }\n\n single_color_hand[i] -= 3u;\n ++result[i][1u];\n continue;\n }\n\n if (single_color_hand[i] == 2u) {\n if (quetou == i) {\n single_color_hand[i] -= 2u;\n ++result[i][2u];\n continue;\n }\n\n if (i + 2u >= 9u || single_color_hand[i + 1u] < 2u || single_color_hand[i + 2u] < 2u) {\n return false;\n }\n single_color_hand[i] -= 2u;\n single_color_hand[i + 1u] -= 2u;\n single_color_hand[i + 2u] -= 2u;\n result[i][0u] += 2u;\n continue;\n }\n\n if (single_color_hand[i] == 1u) {\n if (i + 2u >= 9u || single_color_hand[i + 1u] == 0u || single_color_hand[i + 2u] == 0u) {\n return false;\n }\n --single_color_hand[i];\n --single_color_hand[i + 1u];\n --single_color_hand[i + 2u];\n ++result[i][0u];\n continue;\n }\n }\n\n return true;\n}\n\nbool decompose2Impl(\n std::array const &single_color_hand,\n std::uint_fast8_t const quetou,\n std::vector &result)\n{\n std::array single_color_hand_(single_color_hand);\n std::array, 34u> result_{};\n bool success = decompose2Impl_(single_color_hand_, quetou, result_);\n\n for (std::uint_fast8_t i = 0u; i < 34u; ++i) {\n while (result_[i][0u] >= 1u) {\n for (Blocks &blocks : result) {\n blocks.emplace_back(Block::Type::shunzi, i);\n }\n --result_[i][0u];\n }\n if (result_[i][1u] == 1u) {\n if (i + 3u < 9u && result_[i + 1u][1u] == 1u && result_[i + 2u][1u] == 1u && result_[i + 3u][1u] == 1u) {\n std::size_t const original_result_size = result.size();\n result.reserve(3u * original_result_size);\n for (std::size_t j = 0u; j < original_result_size; ++j) {\n result.push_back(result[j]);\n }\n for (std::size_t j = 0u; j < original_result_size; ++j) {\n result.push_back(result[j]);\n }\n for (std::uint_fast8_t j = 0u; j < original_result_size; ++j) {\n result[j].emplace_back(Block::Type::kezi, i);\n result[j].emplace_back(Block::Type::kezi, i + 1u);\n result[j].emplace_back(Block::Type::kezi, i + 2u);\n result[j].emplace_back(Block::Type::kezi, i + 3u);\n }\n for (std::uint_fast8_t j = original_result_size; j < 2u * original_result_size; ++j) {\n result[j].emplace_back(Block::Type::kezi, i);\n result[j].emplace_back(Block::Type::shunzi, i + 1u);\n result[j].emplace_back(Block::Type::shunzi, i + 1u);\n result[j].emplace_back(Block::Type::shunzi, i + 1u);\n }\n for (std::uint_fast8_t j = 2u * original_result_size; j < result.size(); ++j) {\n result[j].emplace_back(Block::Type::shunzi, i);\n result[j].emplace_back(Block::Type::shunzi, i);\n result[j].emplace_back(Block::Type::shunzi, i);\n result[j].emplace_back(Block::Type::kezi, i + 3u);\n }\n --result_[i][1u];\n --result_[i + 1u][1u];\n --result_[i + 2u][1u];\n --result_[i + 3u][1u];\n }\n else if (i + 2u < 9u && result_[i + 1u][1u] == 1u && result_[i + 2u][1u] == 1u) {\n std::size_t const original_result_size = result.size();\n result.reserve(2u * original_result_size);\n for (Blocks &blocks : result) {\n result.push_back(blocks);\n }\n for (std::uint_fast8_t j = 0u; j < original_result_size; ++j) {\n result[j].emplace_back(Block::Type::kezi, i);\n result[j].emplace_back(Block::Type::kezi, i + 1u);\n result[j].emplace_back(Block::Type::kezi, i + 2u);\n }\n for (std::uint_fast8_t j = original_result_size; j < result.size(); ++j) {\n result[j].emplace_back(Block::Type::shunzi, i);\n result[j].emplace_back(Block::Type::shunzi, i);\n result[j].emplace_back(Block::Type::shunzi, i);\n }\n --result_[i][1u];\n --result_[i + 1u][1u];\n --result_[i + 2u][1u];\n }\n else {\n for (Blocks &blocks : result) {\n blocks.emplace_back(Block::Type::kezi, i);\n }\n --result_[i][1u];\n }\n }\n if (result_[i][2u] == 1u) {\n for (Blocks &blocks : result) {\n blocks.emplace_back(Block::Type::quetou, i);\n }\n --result_[i][2u];\n }\n }\n\n return success;\n}\n\nvoid decompose2(\n std::array const &single_color_hand,\n std::map> &map)\n{\n std::string key(single_color_hand.cbegin(), single_color_hand.cend());\n\n std::vector result;\n {\n std::uint_fast8_t const n = std::accumulate(single_color_hand.cbegin(), single_color_hand.cend(), 0u);\n if (n % 3u == 0u) {\n result.emplace_back();\n bool success = decompose2Impl(single_color_hand, UINT_FAST8_MAX, result);\n assert((success));\n }\n else {\n std::uint_fast8_t const s = [&]() {\n std::uint_fast8_t s = 0u;\n for (std::uint_fast8_t i = 0u; i < 9u; ++i) {\n s += i * single_color_hand[i];\n }\n return s;\n }();\n for (std::uint_fast8_t quetou = (2u * s) % 3u; quetou < 9u; quetou += 3u) {\n std::vector result_;\n result_.emplace_back();\n if (decompose2Impl(single_color_hand, quetou, result_)) {\n result.insert(result.cend(), result_.cbegin(), result_.cend());\n }\n }\n }\n }\n for (Blocks &blocks : result) {\n std::sort(blocks.begin(), blocks.end());\n }\n std::sort(result.begin(), result.end());\n\n auto found = map.find(key);\n if (found == map.cend()) {\n map.emplace(std::move(key), std::move(result));\n }\n else {\n assert((result == found->second));\n }\n}\n\nusing SingleColorWinningHandCallback = std::function const &)>;\n\nvoid enumerateSingleColorWinningHand(\n std::uint_fast8_t i,\n std::uint_fast8_t m,\n std::uint_fast8_t h,\n std::array &single_color_hand,\n SingleColorWinningHandCallback callback)\n{\n assert((i <= 9u));\n assert((m <= 4u));\n assert((h <= 1u));\n assert((!!callback));\n\n if (i == 9u) {\n callback(single_color_hand);\n return;\n }\n\n std::uint_fast8_t const x = i + 1u < 9u ? single_color_hand[i + 1u] : 0u;\n std::uint_fast8_t const y = i + 2u < 9u ? single_color_hand[i + 2u] : 0u;\n for (std::uint_fast8_t s = 0u; s < stable.size(); ++s) {\n std::uint_fast8_t const mm = stable[s][0u] + stable[s][1u];\n std::uint_fast8_t const hh = stable[s][2u];\n std::uint_fast8_t const nn = stable[s][0u] + 3u * stable[s][1u] + 2u * stable[s][2u];\n std::uint_fast8_t const xy = stable[s][0u];\n if (m + mm > 4u) {\n continue;\n }\n if (h + hh > 1u) {\n continue;\n }\n if (single_color_hand[i] + nn > 4u) {\n continue;\n }\n if (x < xy) {\n continue;\n }\n if (y < xy) {\n continue;\n }\n\n single_color_hand[i] += nn;\n if (i + 1u < 9u) {\n single_color_hand[i + 1u] += xy;\n }\n if (i + 2u < 9u) {\n single_color_hand[i + 2u] += xy;\n }\n enumerateSingleColorWinningHand(i + 1u, m + mm, h + hh, single_color_hand, callback);\n if (i + 2u < 9u) {\n single_color_hand[i + 2u] -= xy;\n }\n if (i + 1u < 9u) {\n single_color_hand[i + 1u] -= xy;\n }\n single_color_hand[i] -= nn;\n }\n}\n\n} // namespace \n\nint main()\n{\n std::map> map0;\n {\n std::array single_color_hand{};\n SingleColorWinningHandCallback callback(std::bind_back(&decompose0, std::ref(map0)));\n enumerateSingleColorWinningHand(0u, 0u, 0u, single_color_hand, callback);\n }\n\n std::map> map1;\n {\n std::array single_color_hand{};\n SingleColorWinningHandCallback callback(std::bind_back(&decompose1, std::ref(map1)));\n enumerateSingleColorWinningHand(0u, 0u, 0u, single_color_hand, callback);\n }\n if (map0 == map1) {\n std::cout << \"map0 == map1\" << std::endl;\n }\n\n std::map> map2;\n {\n std::array single_color_hand{};\n SingleColorWinningHandCallback callback(std::bind_back(&decompose2, std::ref(map2)));\n enumerateSingleColorWinningHand(0u, 0u, 0u, single_color_hand, callback);\n }\n if (map0 == map2) {\n std::cout << \"map0 == map2\" << std::endl;\n }\n\n if (map1 == map2) {\n std::cout << \"map1 == map2\" << std::endl;\n }\n}\n","codes",[],"stdin","compiler","warning,boost-nothing-gcc-head,gnu++2b,cpp-no-pedantic","-D_GLIBCXX_DEBUG","createdAt",1726618970,"title","test","description","isPrivate","compilerInfo",{"_11":332,"_13":3408,"_15":333,"_17":18,"_19":3409,"_22":23,"_24":25,"_26":335,"_28":3410},"15.0.0 20240916 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