#line 2 "cp-library/src/cp-template.hpp" #include using namespace std; using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; template < class T > bool chmin(T& a, T b) { if(a > b) { a = b; return true; } return false; } template < class T > bool chmax(T& a, T b) { if(a < b) { a = b; return true; } return false; } template < class T, class U > T ceil (T x, U y) { return (x > 0 ? (x + y - 1) / y : x / y); } template < class T, class U > T floor(T x, U y) { return (x > 0 ? x / y : (x - y + 1) / y); } int popcnt(i32 x) { return __builtin_popcount(x); } int popcnt(u32 x) { return __builtin_popcount(x); } int popcnt(i64 x) { return __builtin_popcountll(x); } int popcnt(u64 x) { return __builtin_popcountll(x); } #line 2 "cp-library/src/utility/rep_itr.hpp" template < class T > struct itr_rep { T i, d; constexpr itr_rep(const T i) noexcept : i(i), d(1) {} constexpr itr_rep(const T i, const T d) noexcept : i(i), d(d) {} void operator++() noexcept { i += d; } constexpr int operator*() const noexcept { return i; } constexpr bool operator!=(const itr_rep x) const noexcept { return d > 0 ? i < x.i : i > x.i; } }; template < class T > struct rep { const itr_rep< T > s, t; constexpr rep(const T t) noexcept : s(0), t(t) {} constexpr rep(const T s, const T t) noexcept : s(s), t(t) {} constexpr rep(const T s, const T t, const T d) noexcept : s(s, d), t(t, d) {} constexpr auto begin() const noexcept { return s; } constexpr auto end () const noexcept { return t; } }; template < class T > struct revrep { const itr_rep < T > s, t; constexpr revrep(const T t) noexcept : s(t - 1, -1), t(-1, -1) {} constexpr revrep(const T s, const T t) noexcept : s(t - 1, -1), t(s - 1, -1) {} constexpr revrep(const T s, const T t, const T d) noexcept : s(t - 1, -d), t(s - 1, -d) {} constexpr auto begin() const noexcept { return s; } constexpr auto end () const noexcept { return t; } }; #line 3 "cp-library/src/utility/io.hpp" /* 128bit integer */ istream& operator>>(istream& is, i128& x) { std::string s; is >> s; int pm = (s[0] == '-'); x = 0; for(int i : rep(pm, int(s.size()))) x = x * 10 + (s[i] - '0'); if(pm) x *= -1; return is; } ostream& operator<<(ostream& os, const i128& x) { if(x == 0) return os << '0'; i128 y = x; if(y < 0) { os << '-'; y *= -1; } std::vector ny; while(y > 0) { ny.push_back(y % 10); y /= 10; } for(int i : revrep(ny.size())) os << ny[i]; return os; } template < class S, class T > istream& operator>>(istream& is, std::pair< S, T >& x) { is >> x.first >> x.second; return is; } template < class S, class T > ostream& operator<<(ostream& os, const std::pair< S, T >& x) { os << x.first << " " << x.second; return os; } namespace scanner { struct sca { template < class T > operator T() { T s; std::cin >> s; return s; } }; struct vec { int n; vec(int n) : n(n) {} template < class T > operator std::vector< T >() { std::vector< T > v(n); for(T& x : v) std::cin >> x; return v; } }; struct mat { int h, w; mat(int h, int w) : h(h), w(w) {} template < class T > operator std::vector< std::vector< T > >() { std::vector m(h, std::vector< T >(w)); for(std::vector< T >& v : m) for(T& x : v) std::cin >> x; return m; } }; struct speedup { speedup() { std::cin.tie(0); std::ios::sync_with_stdio(0); } } speedup_instance; } scanner::sca in() { return scanner::sca(); } scanner::vec in(int n) { return scanner::vec(n); } scanner::mat in(int h, int w) { return scanner::mat(h, w); } namespace printer { void precision(int d) { std::cout << std::fixed << std::setprecision(d); } void flush() { std::cout.flush(); } } template < class T > ostream& operator<<(ostream& os, const std::vector< T > a) { int n = a.size(); for(int i : rep(n)) { os << a[i]; if(i != n - 1) os << ' '; } return os; } int print() { std::cout << '\n'; return 0; } template < class head, class... tail > int print(head&& h, tail&&... t) { std::cout << h; if(sizeof...(tail)) std::cout << ' '; return print(std::forward(t)...); } template < class T > int print_n(const std::vector< T > a) { int n = a.size(); for(int i : rep(n)) std::cout << a[i] << "\n"; return 0; } #line 2 "cp-library/src/utility/key_val.hpp" template < class K, class V > struct key_val { K key; V val; key_val() {} key_val(K key, V val) : key(key), val(val) {} template < std::size_t Index > std::tuple_element_t< Index, key_val >& get() { if constexpr (Index == 0) return key; if constexpr (Index == 1) return val; } }; namespace std { template < class K, class V > struct tuple_size < key_val< K, V > > : integral_constant< size_t, 2 > {}; template < class K, class V > struct tuple_element < 0, key_val< K, V > > { using type = K; }; template < class K, class V > struct tuple_element < 1, key_val< K, V > > { using type = V; }; } #line 2 "cp-library/src/utility/vec_op.hpp" template < class T > key_val< int, T > max_of(const vector< T >& a) { int i = std::max_element(a.begin(), a.end()) - a.begin(); return {i, a[i]}; } template < class T > key_val< int, T > min_of(const vector< T >& a) { int i = std::min_element(a.begin(), a.end()) - a.begin(); return {i, a[i]}; } template < class S, class T > S sum_of(const vector< T >& a) { S sum = 0; for(const T x : a) sum += x; return sum; } template < class S, class T > vector< S > freq_of(const vector< T >& a, T L, T R) { vector< S > res(R - L, S(0)); for(const T x : a) res[x - L] += 1; return res; } template < class S, class T > struct prefix_sum { vector< S > s; prefix_sum(const vector< T >& a) : s(a) { s.insert(s.begin(), S(0)); for(int i : rep(a.size())) s[i + 1] += s[i]; } // [L, R) S sum(int L, int R) { return s[R] - s[L]; } }; #line 3 "cp-library/src/utility/heap.hpp" template < class T > using heap_min = std::priority_queue< T, std::vector< T >, std::greater< T > >; template < class T > using heap_max = std::priority_queue< T, std::vector< T >, std::less< T > >; #line 27 "cp-library/src/cp-template.hpp" #line 1 "cp-library/src/algorithm/bin_search.hpp" template < class T, class F > T bin_search(T ok, T ng, F f) { while(abs(ng - ok) > 1) { T mid = (ok + ng) / 2; (f(mid) ? ok : ng) = mid; } return ok; } template < class T, class F > T bin_search_real(T ok, T ng, F f, int step = 80) { while(step--) { T mid = (ok + ng) / 2; (f(mid) ? ok : ng) = mid; } return ok; } #line 2 "cp-library/src/algorithm/argsort.hpp" template < class T > std::vector< int > argsort(const std::vector< T > &a) { std::vector< int > ids((int)a.size()); std::iota(ids.begin(), ids.end(), 0); std::sort(ids.begin(), ids.end(), [&](int i, int j) { return a[i] < a[j] || (a[i] == a[j] && i < j); }); return ids; } #line 1 "macro.hpp" namespace macro { using size_type = int; template < class container > void sort(container& a) { std::sort(std:: begin(a), std:: end(a)); } template < class container > void rsort(container& a) { std::sort(std::rbegin(a), std::rend(a)); } template < class container > void reverse(container& a) { std::reverse(std::begin(a), std::end(a)); } template < class container > void unique(container& a) { std::sort(std::begin(a), std::end(a)); a.erase(std::unique(std::begin(a), std::end(a)), std::end(a)); } template < class container > container sorted(const container& a) { container b = a; sort(b); return std::move(b); } template < class container > container rsorted(const container& a) { container b = a; rsort(b); return std::move(b); } template < class container, class compare > void sort(container& a, const compare& cmp) { std::sort(std::begin(a), std::end(a), cmp); } template < class container, class compare > container sorted(const container& a, const compare& cmp) { container b = a; sort(b, cmp); return std::move(b); } template < class container, class value > size_type lower_bound(const container& a, const value& x) { return std::lower_bound(std::begin(a), std::end(a), x) - std::begin(a); } template < class container, class value > size_type upper_bound(const container& a, const value& x) { return std::upper_bound(std::begin(a), std::end(a), x) - std::begin(a); } const std::vector> dir4 = { {+1, 0}, {-1, 0}, { 0, +1}, { 0, -1} }; const std::vector> dir8 = { {-1, -1}, {-1, 0}, {-1, +1}, { 0, -1}, { 0, +1}, {+1, -1}, {+1, 0}, {+1, +1} }; #ifdef _DEBUG #define debug(x) std::cout << "[" << __LINE__ << "] " << #x << ": " << x << std::endl #else #define debug(x) #endif template < class container > void concat(container& a, const container& b) { a.insert(std::end(a), std::begin(b), std::end(b)); } std::vector iota(const size_type n) { std::vector I(n); std::iota(std::begin(I), std::end(I), 0); return I; } template < class container > std::vector sort_idx(const container& a) { const size_type n = a.size(); std::vector I = iota(n); std::sort(std::begin(I), std::end(I), [&](size_type i, size_type j) { return a[i] < a[j] or (a[i] == a[j] and i < j); }); return I; } template < class container, class compare > std::vector sort_idx(const container& a, const compare& cmp) { const size_type n = a.size(); std::vector I = iota(n); std::sort(std::begin(I), std::end(I), [&](size_type i, size_type j) { return cmp(a[i], a[j]) or (a[i] == a[j] and i < j); }); return std::move(I); } struct grid { using size_type = int; size_type H, W; grid(const size_type H, const size_type W) : H(H), W(W) {} bool contains(const size_type i, const size_type j) { return 0 <= i and i < H and 0 <= j and j < W; } }; using f64 = long double; template < class T > vector< T >& operator++(vector< T >& a) { for(T& x : a) x++; return a; } template < class T > vector< T >& operator--(vector< T >& a) { for(T& x : a) x--; return a; } template < class T > vector< T > operator++(vector< T >& a, signed) { vector< T > res = a; for(T& x : a) x++; return res; } template < class T > vector< T > operator--(vector< T >& a, signed) { vector< T > res = a; for(T& x : a) x--; return res; } } // namespace macro using namespace macro; #line 2 "cp-library/src/number/modint.hpp" struct modinfo { uint mod, root, isprime; }; template < modinfo const &ref > struct modint { static constexpr uint const &mod = ref.mod; static constexpr uint const &root = ref.root; static constexpr uint const &isprime = ref.isprime; uint v = 0; constexpr modint& s(uint v) { this->v = v < mod ? v : v - mod; return *this; } constexpr modint(ll v = 0) { s(v % mod + mod); } modint operator-() const { return modint() - *this; } modint& operator+=(const modint& rhs) { return s(v + rhs.v); } modint& operator-=(const modint& rhs) { return s(v + mod - rhs.v); } modint& operator*=(const modint& rhs) { v = ull(v) * rhs.v % mod; return *this; } modint& operator/=(const modint& rhs) { return *this *= inv(rhs); } modint operator+(const modint& rhs) const { return modint(*this) += rhs; } modint operator-(const modint& rhs) const { return modint(*this) -= rhs; } modint operator*(const modint& rhs) const { return modint(*this) *= rhs; } modint operator/(const modint& rhs) const { return modint(*this) /= rhs; } friend modint pow(modint x, ll n) { modint res(1); while(n > 0) { if(n & 1) res *= x; x *= x; n >>= 1; } return res; } friend modint inv(modint v) { if(isprime) { return pow(v, mod - 2); } else { ll a = v.v, b = modint::mod, x = 1, y = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(x -= t * y, y); } return modint(x); } } friend modint operator+(int x, const modint& y) { return modint(x) + y; } friend modint operator-(int x, const modint& y) { return modint(x) - y; } friend modint operator*(int x, const modint& y) { return modint(x) * y; } friend modint operator/(int x, const modint& y) { return modint(x) / y; } friend istream& operator>>(istream& is, modint& m) { ll x; is >> x; m = modint(x); return is; } friend ostream& operator<<(ostream& os, const modint& m) { return os << m.v; } bool operator==(const modint& r) const { return v == r.v; } bool operator!=(const modint& r) const { return v != r.v; } static uint get_mod() { return mod; } static int is_prime() { return isprime; } }; constexpr modinfo base998244353 { 998244353, 3, 1 }; constexpr modinfo base1000000007 { 1000000007, 0, 1 }; using mint998244353 = modint< base998244353 >; using mint1000000007 = modint< base1000000007 >; #line 4 "B.cpp" int main() { int N = in(); vector A = in(N); int c1 = sum_of(A); int c0 = N - c1; print(mint998244353(min(c0, c1)) / N); }