提出 #74714402

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ソースコード 拡げる

#include<bits/stdc++.h>
#define int long long
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(),v.rend()
bool st;
using namespace std;
/*Ctrl+Alt+G F*/
namespace AC{
namespace Fread{const int SIZE=1<<16;char buf[SIZE],*S,*T;inline char getchar(){if(S==T){T=(S=buf)+fread(buf,1,SIZE,stdin);if(S==T)return'\n';}return *S++;}}namespace Fwrite{const int SIZE=1<<16;char buf[SIZE],*S=buf,*T=buf+SIZE;inline void flush(){fwrite(buf,1,S-buf,stdout);S=buf;}inline void putchar(char c){*S++=c;if(S==T)flush();}struct NTR{~NTR(){flush();}}ztr;}
#define getchar Fread::getchar
#define putchar Fwrite::putchar
#define Setprecision 15
#define between ' '
template<typename T>struct is_char{static constexpr bool value=(std::is_same<T,char>::value||std::is_same<T,signed char>::value||std::is_same<T,unsigned char>::value);};template<typename T>struct is_integral_ex{static constexpr bool value=(std::is_integral<T>::value||std::is_same<T,__int128>::value)&&!is_char<T>::value;};template<typename T>struct is_floating_point_ex{static constexpr bool value=std::is_floating_point<T>::value||std::is_same<T,__float128>::value;};namespace Fastio{struct Reader{template<typename T>typename std::enable_if_t<std::is_class<T>::value,Reader&>operator>>(T&x){for(auto &y:x)*this>>y;return *this;}template<typename T>typename std::enable_if_t<is_integral_ex<T>::value,Reader&>operator>>(T&x){char c=getchar();short f=1;while(c<'0'||c>'9'){if(c=='-')f*=-1;c=getchar();}x=0;while(c>='0'&&c<='9'){x=(x<<1)+(x<<3)+(c^48);c=getchar();}x*=f;return *this;}template<typename T>typename std::enable_if_t<is_floating_point_ex<T>::value,Reader&>operator>>(T&x){char c=getchar();short f=1,s=0;x=0;T t=0;while((c<'0'||c>'9')&&c!='.'){if(c=='-')f*=-1;c=getchar();}while(c>='0'&&c<='9'&&c!='.')x=x*10+(c^48),c=getchar();if(c=='.')c=getchar();else return x*=f,*this;while(c>='0'&&c<='9')t=t*10+(c^48),s++,c=getchar();while(s--)t/=10.0;x=(x+t)*f;return*this;}template<typename T>typename std::enable_if_t<is_char<T>::value,Reader&>operator>>(T&c){c=getchar();while(c=='\n'||c==' '||c=='\r')c=getchar();return *this;}Reader&operator>>(char*str){int len=0;char c=getchar();while(c=='\n'||c==' '||c=='\r')c=getchar();while(c!='\n'&&c!=' '&&c!='\r')str[len++]=c,c=getchar();str[len]='\0';return*this;}Reader&operator>>(std::string&str){str.clear();char c=getchar();while(c=='\n'||c==' '||c=='\r')c=getchar();while(c!='\n'&&c!=' '&&c!='\r')str.push_back(c),c=getchar();return*this;}Reader(){}}cin;const char endl='\n';struct Writer{typedef __int128 mxdouble;template<typename T>typename std::enable_if_t<std::is_class<T>::value,Writer&>operator<<(T x){for(auto &y:x)*this<<y<<between;*this<<'\n';return *this;}template<typename T>typename std::enable_if_t<is_integral_ex<T>::value,Writer&>operator<<(T x){if(x==0)return putchar('0'),*this;if(x<0)putchar('-'),x=-x;static int sta[45];int top=0;while(x)sta[++top]=x%10,x/=10;while(top)putchar(sta[top]+'0'),--top;return*this;}template<typename T>typename std::enable_if_t<is_floating_point_ex<T>::value,Writer&>operator<<(T x){if(x<0)putchar('-'),x=-x;x+=pow(10,-Setprecision)/2;mxdouble _=x;x-=(T)_;static int sta[45];int top=0;while(_)sta[++top]=_%10,_/=10;if(!top)putchar('0');while(top)putchar(sta[top]+'0'),--top;putchar('.');for(int i=0;i<Setprecision;i++)x*=10;_=x;while(_)sta[++top]=_%10,_/=10;for(int i=0;i<Setprecision-top;i++)putchar('0');while(top)putchar(sta[top]+'0'),--top;return*this;}template<typename T>typename std::enable_if_t<is_char<T>::value,Writer&>operator<<(T c){putchar(c);return*this;}Writer&operator<<(char*str){int cur=0;while(str[cur])putchar(str[cur++]);return *this;}Writer&operator<<(const char*str){int cur=0;while(str[cur])putchar(str[cur++]);return*this;}Writer&operator<<(std::string str){int st=0,ed=str.size();while(st<ed)putchar(str[st++]);return*this;}Writer(){}void flush(){Fwrite::flush();}}cout;}
#undef Setprecision
using Fastio::cin;
using Fastio::cout;
using Fastio::endl;
using istream=Fastio::Reader;
using ostream=Fastio::Writer;
const int MOD=998244353;

int fac[500010];
int inv[500010];
int pw2[500010];

void init(){
	if(fac[1]!=0)return;
	fac[0]=1;
	for(int i=1;i<500010;i++)fac[i]=fac[i-1]*i%MOD;
	inv[1]=1;
	for(int i=2;i<500010;i++)inv[i]=(MOD-MOD/i)*inv[MOD%i]%MOD;
	pw2[0]=1;
	for(int i=1;i<500010;i++)pw2[i]=pw2[i-1]*2%MOD;
}

void solve(){
	init();
	int n,k;
	cin>>n>>k;
	vector<int>a(k);
	cin>>a;
	int sum1=0;
	int mx=0;
	
	for(int i=0;i<k;i++){
		if(a[i]>mx){
			sum1=(sum1+pw2[a[i]-1])%MOD;
			mx=a[i];
		}
	}
	int sum2=0;
	for(int x=mx+1;x<=n;x++){
		int tmp=pw2[x-1]*inv[n-x+1]%MOD;
		sum2=(sum2+tmp)%MOD;
	}
	int tot=(sum1+sum2)%MOD;
	int ans=(pw2[n]-1+MOD)%MOD;
	ans=(ans-tot+MOD)%MOD;
	ans=ans*fac[n-k]%MOD;
	cout<<ans<<"\n";
}
}
bool ed;
signed main(){
#ifdef debug
	cerr<<"----------------------------------- START -----------------------------------\n";
#endif
	int t=1;
	cin>>t;
	while(t--)AC::solve();
#ifdef debug
	cerr<<"\n--------------------------------- INPUT END ---------------------------------\n";
	AC::cout.flush();
	cerr<<"\n------------------------------------ END ------------------------------------\n";
	cerr<<setprecision(3)<<fixed<<"Total Memory : "<<left<<setw(10)<<(&ed-&st)/1048576.0<<" \tMB\n"<<"               "<<left<<setw(10)<<(&ed-&st)/1024.0<<" \tKB\n"<<"               "<<left<<setw(10)<<(&ed-&st)<<" \tByte\n";
#endif
}

提出情報

ジャッジ結果