#include #include using namespace std; using ll = long long; using ld = long double; using ull = unsigned long long; using uint = unsigned; using vi = vector; using vvi = vector; using vll = vector; using vcll = vector; using pii = pair; using vpii = vector; using pll = pair; using pdd = pair; using tuplis = array; template using pq = priority_queue, greater>; const ll LINF = 0x1fffffffffffffff; const ll MINF = 0x7fffffffffff; const int INF = 0x3fffffff; const int MOD = 1000000007; const int MODD = 998244353; const ld DINF = numeric_limits::infinity(); const ld EPS = 1e-9; const ld PI = 3.1415926535897932; const ll dx[] = {0, 1, 0, -1, 1, -1, 1, -1}; const ll dy[] = {1, 0, -1, 0, 1, 1, -1, -1}; #define overload5(a, b, c, d, e, name, ...) name #define overload4(a, b, c, d, name, ...) name #define overload3(a, b, c, name, ...) name #define rep1(n) for (ll i = 0; i < n; ++i) #define rep2(i, n) for (ll i = 0; i < n; ++i) #define rep3(i, a, b) for (ll i = a; i < b; ++i) #define rep4(i, a, b, c) for (ll i = a; i < b; i += c) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(n) for (ll i = n; i--;) #define rrep2(i, n) for (ll i = n; i--;) #define rrep3(i, a, b) for (ll i = b; i-- > (a);) #define rrep4(i, a, b, c) for (ll i = (a) + ((b) - (a)-1) / (c) * (c); i >= (a); i -= c) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define each1(i, a) for (auto &&i : a) #define each2(x, y, a) for (auto &&[x, y] : a) #define each3(x, y, z, a) for (auto &&[x, y, z] : a) #define each4(w, x, y, z, a) for (auto &&[w, x, y, z] : a) #define each(...) overload5(__VA_ARGS__, each4, each3, each2, each1)(__VA_ARGS__) #define all1(i) begin(i), end(i) #define all2(i, a) begin(i), begin(i) + a #define all3(i, a, b) begin(i) + a, begin(i) + b #define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__) #define rall1(i) rbegin(i), rend(i) #define rall2(i, a) rbegin(i), rbegin(i) + a #define rall3(i, a, b) rbegin(i) + a, rbegin(i) + b #define rall(...) overload3(__VA_ARGS__, rall3, rall2, rall1)(__VA_ARGS__) #define sum(...) accumulate(all(__VA_ARGS__), 0LL) #define dsum(...) accumulate(all(__VA_ARGS__), 0.0L) #define Msum(...) accumulate(all(__VA_ARGS__), Modint{}) #define elif else if #define INT(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ in(__VA_ARGS__) #define ULL(...) \ ull __VA_ARGS__; \ in(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define CHR(...) \ char __VA_ARGS__; \ in(__VA_ARGS__) #define DBL(...) \ double __VA_ARGS__; \ in(__VA_ARGS__) #define LD(...) \ ld __VA_ARGS__; \ in(__VA_ARGS__) #define vec(type, name, ...) vector name(__VA_ARGS__) #define VEC(type, name, size) \ vector name(size); \ in(name) #define vv(type, name, h, ...) vector name(h, vector(__VA_ARGS__)) #define VV(type, name, h, w) \ vector name(h, vector(w)); \ in(name) #define vvv(type, name, h, w, ...) vector name(h, vector(w, vector(__VA_ARGS__))) template auto min(const T &a) { return *min_element(all(a)); } template auto max(const T &a) { return *max_element(all(a)); } template ll count(const T &a, const U &b) { return count(all(a), b); } template ll count_if(const T &a, F b) { return count_if(all(a), b); } template void filter(T &a, F b) { a.erase(remove_if(all(a), not_fn(b)), a.end()); } template > void sor(T &a, F b = F{}) { sort(all(a), b); } template void rev(T &a) { reverse(all(a)); } template void uniq(T &a) { sor(a); a.erase(unique(all(a)), end(a)); } ll popcnt(ull a) { return __builtin_popcountll(a); } ll intpow(ll a, ll b) { ll ans = 1; while (b) { if (b & 1) ans *= a; a *= a; b /= 2; } return ans; } ll modpow(ll a, ll b, ll p) { ll ans = 1; while (b) { if (b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; } template bool chmin(T &a, const T &b) { if (a <= b) return 0; a = b; return 1; } template bool chmax(T &a, const T &b) { if (a >= b) return 0; a = b; return 1; } template bool chmin(T &a, const U &b) { return chmin(a, (T)b); } template bool chmax(T &a, const U &b) { return chmax(a, (T)b); } vector iota(ll n, ll begin = 0) { vector a(n); iota(a.begin(), a.end(), begin); return a; } vector factor(ull x) { vector ans; for (ull i = 2; i * i <= x; i++) if (x % i == 0) { ans.push_back({i, 1}); while ((x /= i) % i == 0) ans.back().second++; } if (x != 1) ans.push_back({x, 1}); return ans; } template unordered_map press(vector a) { uniq(a); unordered_map ans; rep(a.size()) ans[a[i]] = i; return ans; } template auto run_press(const T &a) { vector, ll>> ans; each(x, a) { if (ans.empty() || ans.back().first != x) ans.emplace_back(x, 1); else ans.back().second++; } return ans; } template void in(Ts &...t); [[maybe_unused]] void print() {} template void print(const T &t, const Ts &...ts); template void out(const Ts &...ts) { print(ts...); cout << '\n'; } namespace IO { #define VOID(a) decltype(void(a)) struct S { S() { cin.tie(nullptr)->sync_with_stdio(0); fixed(cout).precision(12); } } S; template struct P : P { }; template <> struct P<0> { }; template void i(T &t) { i(t, P<3>{}); } void i(vector::reference t, P<3>) { int a; i(a); t = a; } template auto i(T &t, P<2>) -> VOID(cin >> t) { cin >> t; } template auto i(T &t, P<1>) -> VOID(begin(t)) { for (auto &&x : t) i(x); } template void ituple(T &t, index_sequence) { in(get(t)...); } template auto i(T &t, P<0>) -> VOID(tuple_size{}) { ituple(t, make_index_sequence::value>{}); } template void o(const T &t) { o(t, P<4>{}); } template void o(const char (&t)[N], P<4>) { cout << t; } template void o(const T (&t)[N], P<3>) { o(t[0]); for (size_t i = 1; i < N; i++) { o(' '); o(t[i]); } } template auto o(const T &t, P<2>) -> VOID(cout << t) { cout << t; } template auto o(const T &t, P<1>) -> VOID(begin(t)) { bool first = 1; for (auto &&x : t) { if (first) first = 0; else o(' '); o(x); } } template void otuple(const T &t, index_sequence) { print(get(t)...); } template auto o(T &t, P<0>) -> VOID(tuple_size{}) { otuple(t, make_index_sequence::value>{}); } #undef VOID } #define unpack(a) \ (void)initializer_list \ { \ (a, 0)... \ } template void in(Ts &...t) { unpack(IO::i(t)); } template void print(const T &t, const Ts &...ts) { IO::o(t); unpack(IO::o((cout << ' ', ts))); } #undef unpack #ifdef DEBUG ll __lg(ull x) { return 63 - __builtin_clzll(x); } #define debug(...) \ { \ print(#__VA_ARGS__); \ print(":"); \ out(__VA_ARGS__); \ } #else #define debug(...) void(0) #endif #define YESNO(yes, no) \ void yes(bool i = 1) \ { \ out(i ? #yes : #no); \ } \ void no() \ { \ out(#no); \ } YESNO(first, second) YESNO(First, Second) YESNO(Yes, No) YESNO(YES, NO) YESNO(possible, impossible) YESNO(POSSIBLE, IMPOSSIBLE) void Case(ll i) { print("Case #"); print(i); print(": "); } using namespace atcoder; using namespace IO; // using mint = modint998244353; void solve() { INT(p); using mint = modint; mint::set_mod(p); mint s = 1; s /= 8; if (s.pow((p - 1) / 2).val() == 1) out("YES"); else out("NO"); } int main() { solve(); return 0; }