結果

問題 No.1554 array_and_me
ユーザー mugen_1337
提出日時 2021-06-24 15:35:41
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 84 ms / 2,000 ms
コード長 3,323 bytes
コンパイル時間 2,335 ms
コンパイル使用メモリ 208,636 KB
最終ジャッジ日時 2025-01-22 11:47:29
ジャッジサーバーID
(参考情報)
judge3 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 1
other AC * 41
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include<bits/stdc++.h>
using namespace std;
#define ALL(x) begin(x),end(x)
#define rep(i,n) for(int i=0;i<(n);i++)
#define debug(v) cout<<#v<<":";for(auto x:v){cout<<x<<' ';}cout<<endl;
#define mod 998244353
using ll=long long;
const int INF=1000000000;
const ll LINF=1001002003004005006ll;
int dx[]={1,0,-1,0},dy[]={0,1,0,-1};
template<class T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<class T>bool chmin(T &a,const T &b){if(b<a){a=b;return true;}return false;}
struct IOSetup{
IOSetup(){
cin.tie(0);
ios::sync_with_stdio(0);
cout<<fixed<<setprecision(12);
}
} iosetup;
template<typename T>
ostream &operator<<(ostream &os,const vector<T>&v){
for(int i=0;i<(int)v.size();i++) os<<v[i]<<(i+1==(int)v.size()?"":" ");
return os;
}
template<typename T>
istream &operator>>(istream &is,vector<T>&v){
for(T &x:v)is>>x;
return is;
}
template<ll Mod>
struct ModInt{
long long x;
ModInt():x(0){}
ModInt(long long y):x(y>=0?y%Mod:(Mod-(-y)%Mod)%Mod){}
ModInt &operator+=(const ModInt &p){
if((x+=p.x)>=Mod) x-=Mod;
return *this;
}
ModInt &operator-=(const ModInt &p){
if((x+=Mod-p.x)>=Mod)x-=Mod;
return *this;
}
ModInt &operator*=(const ModInt &p){
x=(int)(1ll*x*p.x%Mod);
return *this;
}
ModInt &operator/=(const ModInt &p){
(*this)*=p.inverse();
return *this;
}
ModInt operator-()const{return ModInt(-x);}
ModInt operator+(const ModInt &p)const{return ModInt(*this)+=p;}
ModInt operator-(const ModInt &p)const{return ModInt(*this)-=p;}
ModInt operator*(const ModInt &p)const{return ModInt(*this)*=p;}
ModInt operator/(const ModInt &p)const{return ModInt(*this)/=p;}
bool operator==(const ModInt &p)const{return x==p.x;}
bool operator!=(const ModInt &p)const{return x!=p.x;}
ModInt inverse()const{
int a=x,b=Mod,u=1,v=0,t;
while(b>0){
t=a/b;
swap(a-=t*b,b);swap(u-=t*v,v);
}
return ModInt(u);
}
ModInt pow(long long n)const{
ModInt ret(1),mul(x);
while(n>0){
if(n&1) ret*=mul;
mul*=mul;n>>=1;
}
return ret;
}
friend ostream &operator<<(ostream &os,const ModInt &p){return os<<p.x;}
friend istream &operator>>(istream &is,ModInt &a){long long t;is>>t;a=ModInt<Mod>(t);return (is);}
static int get_mod(){return Mod;}
};
using mint=ModInt<998244353>;
vector<mint> fac(1,1);
void solve(){
int N,K;cin>>N>>K;
vector<int> A(N);
cin>>A;
mint S=0;
for(auto &x:A) S+=x;
S=S.inverse();
vector<mint> p(N);
rep(i,N) p[i]=S*A[i];
using P=pair<int,int>;
priority_queue<P,vector<P>,function<bool(P,P)>> que([&](P l,P r){
return A[l.first]*(r.second+1)<A[r.first]*(l.second+1);
});
rep(i,N) que.emplace(i,0);
rep(_,K){
auto [idx, t]=que.top();que.pop();
que.emplace(idx, t+1);
}
mint res=fac[K];
while(!que.empty()){
auto [idx, t]=que.top();que.pop();
res*=mint(p[idx]).pow(t);
res*=fac[t].inverse();
}
cout<<res<<endl;
}
signed main(){
for(int i=1;i<=500000;i++) fac.push_back(fac.back()*i);
int q;cin>>q;
while(q--) solve();
return 0;
}
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