// competitive-verifier: PROBLEM #include #include #include /** * @brief Mex * */ struct minimum_excluded { minimum_excluded() : n(), _size(), exists(64), v() {} constexpr int operator()() const noexcept { return n; } constexpr int get() const noexcept { return n; } void add(int x) { if (x < 0) return; ++_size; if (_size == (int)exists.size()) { exists.resize(_size << 1); v.erase(std::remove_if(v.begin(), v.end(), [&](int y) { if (y < (int)exists.size()) { if (exists[y]) --_size; else exists[y] = true; return true; } return false; }), v.end()); } if (x < (int)exists.size()) { if (exists[x]) --_size; else exists[x] = true; } else { v.emplace_back(x); } while (exists[n]) ++n; } private: int n, _size; std::vector exists; std::vector v; }; #ifdef ATCODER #pragma GCC target("sse4.2,avx512f,avx512dq,avx512ifma,avx512cd,avx512bw,avx512vl,bmi2") #endif #pragma GCC optimize("Ofast,fast-math,unroll-all-loops") #include #ifndef ATCODER #pragma GCC target("sse4.2,avx2,bmi2") #endif template constexpr bool chmax(T &a, const U &b) { return a < (T)b ? a = (T)b, true : false; } template constexpr bool chmin(T &a, const U &b) { return (T)b < a ? a = (T)b, true : false; } constexpr std::int64_t INF = 1000000000000000003; constexpr int Inf = 1000000003; constexpr double EPS = 1e-7; constexpr double PI = 3.14159265358979323846; #define FOR(i, m, n) for (int i = (m); i < int(n); ++i) #define FORR(i, m, n) for (int i = (m)-1; i >= int(n); --i) #define FORL(i, m, n) for (int64_t i = (m); i < int64_t(n); ++i) #define rep(i, n) FOR (i, 0, n) #define repn(i, n) FOR (i, 1, n + 1) #define repr(i, n) FORR (i, n, 0) #define repnr(i, n) FORR (i, n + 1, 1) #define all(s) (s).begin(), (s).end() struct Sonic { Sonic() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(20); } constexpr void operator()() const {} } sonic; using namespace std; using ll = std::int64_t; using ld = long double; template std::istream &operator>>(std::istream &is, std::pair &p) { return is >> p.first >> p.second; } template std::istream &operator>>(std::istream &is, std::vector &v) { for (T &i : v) is >> i; return is; } template std::ostream &operator<<(std::ostream &os, const std::pair &p) { return os << '(' << p.first << ',' << p.second << ')'; } template std::ostream &operator<<(std::ostream &os, const std::vector &v) { for (auto it = v.begin(); it != v.end(); ++it) os << (it == v.begin() ? "" : " ") << *it; return os; } template void co(Head &&head, Tail &&...tail) { if constexpr (sizeof...(tail) == 0) std::cout << head << '\n'; else std::cout << head << ' ', co(std::forward(tail)...); } template void ce(Head &&head, Tail &&...tail) { if constexpr (sizeof...(tail) == 0) std::cerr << head << '\n'; else std::cerr << head << ' ', ce(std::forward(tail)...); } void Yes(bool is_correct = true) { std::cout << (is_correct ? "Yes\n" : "No\n"); } void No(bool is_not_correct = true) { Yes(!is_not_correct); } void YES(bool is_correct = true) { std::cout << (is_correct ? "YES\n" : "NO\n"); } void NO(bool is_not_correct = true) { YES(!is_not_correct); } void Takahashi(bool is_correct = true) { std::cout << (is_correct ? "Takahashi" : "Aoki") << '\n'; } void Aoki(bool is_not_correct = true) { Takahashi(!is_not_correct); } int main(void) { int n; std::cin >> n; std::vector a(n); for (int &e : a) std::cin >> e; vector dp = {0, 1}; for (int x = 2; x < 400; ++x) { minimum_excluded mex; mex.add(dp[x - 2]); for (int i = 0; i < x - 2; ++i) mex.add(dp[i] ^ dp[x - i - 3]); dp.emplace_back(mex()); } int c = 0; sort(all(a)); int x = a.front(); int ans = 0; for (int e : a) { if (e == x + c) { ++c; continue; } if (c >= 340) ans ^= dp[340 + c % 34]; else ans ^= dp[c]; c = 1; x = e; } if (c >= 340) ans ^= dp[340 + c % 34]; else ans ^= dp[c]; if (ans) co("First"); else co("Second"); return 0; }