結果
問題 | No.1302 Random Tree Score |
ユーザー | rniya |
提出日時 | 2020-11-27 22:43:41 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 11 ms / 3,000 ms |
コード長 | 7,134 bytes |
コンパイル時間 | 1,790 ms |
コンパイル使用メモリ | 197,376 KB |
最終ジャッジ日時 | 2025-01-16 08:05:14 |
ジャッジサーバーID (参考情報) |
judge3 / judge3 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 14 |
ソースコード
#include <bits/stdc++.h>using namespace std;// const long long MOD=1000000007;const long long MOD=998244353;#define LOCAL#pragma region Macrostypedef long long ll;typedef __int128_t i128;typedef unsigned int uint;typedef unsigned long long ull;#define ALL(x) (x).begin(),(x).end()const int INF=1e9;const long long IINF=1e18;const int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1};const char dir[4]={'D','R','U','L'};template<typename T>istream &operator>>(istream &is,vector<T> &v){for (T &x:v) is >> x;return is;}template<typename T>ostream &operator<<(ostream &os,const vector<T> &v){for (int i=0;i<v.size();++i){os << v[i] << (i+1==v.size()?"": " ");}return os;}template<typename T,typename U>ostream &operator<<(ostream &os,const pair<T,U> &p){os << '(' << p.first << ',' << p.second << ')';return os;}template<typename T,typename U,typename V>ostream&operator<<(ostream &os,const tuple<T,U,V> &t){os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ')';return os;}template<typename T,typename U,typename V,typename W>ostream&operator<<(ostream &os,const tuple<T,U,V,W> &t){os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ',' << get<3>(t) << ')';return os;}template<typename T,typename U>ostream &operator<<(ostream &os,const map<T,U> &m){os << '{';for (auto itr=m.begin();itr!=m.end();){os << '(' << itr->first << ',' << itr->second << ')';if (++itr!=m.end()) os << ',';}os << '}';return os;}template<typename T,typename U>ostream &operator<<(ostream &os,const unordered_map<T,U> &m){os << '{';for (auto itr=m.begin();itr!=m.end();){os << '(' << itr->first << ',' << itr->second << ')';if (++itr!=m.end()) os << ',';}os << '}';return os;}template<typename T>ostream &operator<<(ostream &os,const set<T> &s){os << '{';for (auto itr=s.begin();itr!=s.end();){os << *itr;if (++itr!=s.end()) os << ',';}os << '}';return os;}template<typename T>ostream &operator<<(ostream &os,const multiset<T> &s){os << '{';for (auto itr=s.begin();itr!=s.end();){os << *itr;if (++itr!=s.end()) os << ',';}os << '}';return os;}template<typename T>ostream &operator<<(ostream &os,const unordered_set<T> &s){os << '{';for (auto itr=s.begin();itr!=s.end();){os << *itr;if (++itr!=s.end()) os << ',';}os << '}';return os;}template<typename T>ostream &operator<<(ostream &os,const deque<T> &v){for (int i=0;i<v.size();++i){os << v[i] << (i+1==v.size()?"": " ");}return os;}void debug_out(){cerr << '\n';}template<class Head,class... Tail>void debug_out(Head&& head,Tail&&... tail){cerr << head;if (sizeof...(Tail)>0) cerr << ", ";debug_out(move(tail)...);}#ifdef LOCAL#define debug(...) cerr << " ";\cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n';\cerr << " ";\debug_out(__VA_ARGS__)#else#define debug(...) 42#endiftemplate<typename T> T gcd(T x,T y){return y!=0?gcd(y,x%y):x;}template<typename T> T lcm(T x,T y){return x/gcd(x,y)*y;}template<class T1,class T2> inline bool chmin(T1 &a,T2 b){if (a>b){a=b; return true;} return false;}template<class T1,class T2> inline bool chmax(T1 &a,T2 b){if (a<b){a=b; return true;} return false;}#pragma endregiontemplate<uint32_t mod> class modint{using i64=int64_t;using u32=uint32_t;using u64=uint64_t;public:u32 v;constexpr modint(const i64 x=0) noexcept :v(x<0?mod-1-(-(x+1)%mod):x%mod){}constexpr u32 &value() noexcept {return v;}constexpr const u32 &value() const noexcept {return v;}constexpr modint operator+(const modint &rhs) const noexcept {return modint(*this)+=rhs;}constexpr modint operator-(const modint &rhs) const noexcept {return modint(*this)-=rhs;}constexpr modint operator*(const modint &rhs) const noexcept {return modint(*this)*=rhs;}constexpr modint operator/(const modint &rhs) const noexcept {return modint(*this)/=rhs;}constexpr modint &operator+=(const modint &rhs) noexcept {v+=rhs.v;if (v>=mod) v-=mod;return *this;}constexpr modint &operator-=(const modint &rhs) noexcept {if (v<rhs.v) v+=mod;v-=rhs.v;return *this;}constexpr modint &operator*=(const modint &rhs) noexcept {v=(u64)v*rhs.v%mod;return *this;}constexpr modint &operator/=(const modint &rhs) noexcept {return *this*=rhs.pow(mod-2);}constexpr modint pow(u64 exp) const noexcept {modint self(*this),res(1);while (exp>0){if (exp&1) res*=self;self*=self; exp>>=1;}return res;}constexpr modint &operator++() noexcept {if (++v==mod) v=0; return *this;}constexpr modint &operator--() noexcept {if (v==0) v=mod; return --v,*this;}constexpr modint operator++(int) noexcept {modint t=*this; return ++*this,t;}constexpr modint operator--(int) noexcept {modint t=*this; return --*this,t;}constexpr modint operator-() const noexcept {return modint(mod-v);}template<class T> friend constexpr modint operator+(T x,modint y) noexcept {return modint(x)+y;}template<class T> friend constexpr modint operator-(T x,modint y) noexcept {return modint(x)-y;}template<class T> friend constexpr modint operator*(T x,modint y) noexcept {return modint(x)*y;}template<class T> friend constexpr modint operator/(T x,modint y) noexcept {return modint(x)/y;}constexpr bool operator==(const modint &rhs) const noexcept {return v==rhs.v;}constexpr bool operator!=(const modint &rhs) const noexcept {return v!=rhs.v;}constexpr bool operator!() const noexcept {return !v;}friend istream &operator>>(istream &s,modint &rhs) noexcept {i64 v; rhs=modint{(s>>v,v)}; return s;}friend ostream &operator<<(ostream &s,const modint &rhs) noexcept {return s<<rhs.v;}};using mint=modint<MOD>;template<class M>struct Combination{vector<M> _fac,_inv,_finv;Combination(int n):_fac(n+1),_inv(n+1),_finv(n+1){_fac[0]=_finv[n]=_inv[0]=1;for (int i=1;i<=n;++i) _fac[i]=_fac[i-1]*i;_finv[n]/=_fac[n];for (int i=n-1;i>=0;--i) _finv[i]=_finv[i+1]*(i+1);for (int i=1;i<=n;++i) _inv[i]=_finv[i]*_fac[i-1];}M fac(int k) const {return _fac[k];}M finv(int k) const {return _finv[k];}M inv(int k) const {return _inv[k];}M P(int n,int r) const {if (n<0||r<0||n<r) return 0;return _fac[n]*_finv[n-r];}M C(int n,int r) const {if (n<0||r<0||n<r) return 0;return _fac[n]*_finv[r]*_finv[n-r];}};int main(){cin.tie(0);ios::sync_with_stdio(false);Combination<mint> COM(100010);int N; cin >> N;mint ans=0;for (int i=0;i<=N-2;++i) ans+=COM.C(N,i)*COM.P(N-2,i)*mint(N).pow(N-2-i);cout << ans/mint(N).pow(N-2) << '\n';}