#line 1 "main.cpp" /** * @title Template */ #include #include #include #include #include #include #include #line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/chmin_chmax.cpp" template constexpr bool chmin(T &lhs, const U &rhs) { if (lhs > rhs) { lhs = rhs; return true; } return false; } template constexpr bool chmax(T &lhs, const U &rhs) { if (lhs < rhs) { lhs = rhs; return true; } return false; } /** * @title Chmin/Chmax */ #line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp" #line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp" class range { public: class iterator { private: int64_t M_position; public: constexpr iterator(int64_t position) noexcept: M_position(position) { } constexpr void operator ++ () noexcept { ++M_position; } constexpr bool operator != (iterator other) const noexcept { return M_position != other.M_position; } constexpr int64_t operator * () const noexcept { return M_position; } }; class reverse_iterator { private: int64_t M_position; public: constexpr reverse_iterator(int64_t position) noexcept: M_position(position) { } constexpr void operator ++ () noexcept { --M_position; } constexpr bool operator != (reverse_iterator other) const noexcept { return M_position != other.M_position; } constexpr int64_t operator * () const noexcept { return M_position; } }; private: const iterator M_first, M_last; public: constexpr range(int64_t first, int64_t last) noexcept: M_first(first), M_last(std::max(first, last)) { } constexpr iterator begin() const noexcept { return M_first; } constexpr iterator end() const noexcept { return M_last; } constexpr reverse_iterator rbegin() const noexcept { return reverse_iterator(*M_last - 1); } constexpr reverse_iterator rend() const noexcept { return reverse_iterator(*M_first - 1); } }; /** * @title Range */ #line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/fix_point.cpp" #line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/other/fix_point.cpp" template struct fix_point_impl: private Func { explicit constexpr fix_point_impl(Func &&func): Func(std::forward(func)) { } template constexpr decltype(auto) operator () (Args &&... args) const { return Func::operator()(*this, std::forward(args)...); } }; template constexpr decltype(auto) fix_point(Func &&func) { return fix_point_impl(std::forward(func)); } /** * @title Lambda Recursion */ #line 17 "main.cpp" using i32 = std::int32_t; using i64 = std::int64_t; using u32 = std::uint32_t; using u64 = std::uint64_t; using isize = std::ptrdiff_t; using usize = std::size_t; constexpr i32 inf32 = (i32(1) << 30) - 1; constexpr i64 inf64 = (i64(1) << 62) - 1; int main() { usize N; i64 V; std::cin >> N >> V; std::vector A(N); for (auto &x: A) { std::cin >> x; } std::vector sum(1 << N); for (auto set: range(0, 1 << N)) { for (auto i: range(0, N)) { if (set >> i & 1) { sum[set] += A[i]; } } } if (sum.back() <= V) { std::cout << "Draw\n"; return 0; } std::vector dp(1 << N); std::vector done(1 << N); std::cout << (fix_point([&](auto dfs, const usize set) -> bool { if (done[set]) { return dp[set]; } done[set] = true; for (auto i: range(0, N)) { if (!(set >> i & 1)) { if (sum[set] + A[i] <= V && !dfs(set | (1 << i))) { return dp[set] = true; } } } return false; })(0) ? "First" : "Second") << '\n'; return 0; }