QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#351103 | #8329. Excuse | ucup-team1004 | TL | 5ms | 8112kb | C++14 | 1.7kb | 2024-03-11 15:42:34 | 2024-03-11 15:42:34 |
Judging History
answer
#include<bits/stdc++.h>
#define Gc() getchar()
#define Me(x,y) memset(x,y,sizeof(x))
#define Mc(x,y) memcpy(x,y,sizeof(x))
#define d(x,y) ((m)*(x-1)+(y))
#define R(n) (rnd()%(n)+1)
#define Pc(x) putchar(x)
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define eb emplace_back
#define all(x) x.begin(),x.end()
using namespace std;using ll=long long;using db=double;using lb=long db;using ui=unsigned;using ull=unsigned long long;using pii=pair<int,int>;
const int N=1e5+5,M=(1<<20)+5,K=1000+5,mod=998244353,Mod=mod-1;const db eps=1e-9;const ll INF=2e18+7;mt19937 rnd(263082);
#define Tp template<typename T>
#define Ts template<typename T,typename... Ar>
namespace Debug{
Tp void _debug(char* f,T t){cerr<<f<<'='<<t<<endl;}
Ts void _debug(char* f,T x,Ar... y){while(*f!=',') cerr<<*f++;cerr<<'='<<x<<",";_debug(f+1,y...);}
#ifdef LOCAL
#define gdb(...) _debug((char*)#__VA_ARGS__,__VA_ARGS__)
#else
#define gdb(...) void()
#endif
}using namespace Debug;
int n;ll frc[N],inv[N],f[N],g[N],pw[N],iw[N];
ll C(int x,int y){return frc[x]*inv[y]%mod*inv[x-y]%mod;}
void Solve(){
int i,j;scanf("%d",&n);
inv[1]=1;for(i=2;i<=n;i++) inv[i]=(mod-inv[mod%i])*(mod/i)%mod;
for(frc[0]=inv[0]=i=1;i<=n;i++) frc[i]=frc[i-1]*i%mod,inv[i]=inv[i]*inv[i-1]%mod;
for(pw[0]=iw[0]=i=1;i<=n;i++) pw[i]=pw[i-1]*2%mod,iw[i]=iw[i-1]*(mod+1)/2%mod;
f[0]=0;g[0]=1;
for(i=1;i<=n;i++){
for(j=0;j<i;j++) f[i]=(f[i]+(f[j]+g[j])*C(n-j,n-i)%mod*iw[n-j])%mod,g[i]=(g[i]+g[j]*C(n-j,n-i)%mod*iw[n-j])%mod;
}
ll ans=0;for(i=0;i<=n;i++) ans+=f[i]*iw[n-i]%mod;
printf("%lld",ans%mod);
}
int main(){
int t=1;
// scanf("%d",&t);
while(t--) Solve();
cerr<<clock()*1.0/CLOCKS_PER_SEC<<'\n';
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 8112kb
input:
1
output:
499122177
result:
ok 1 number(s): "499122177"
Test #2:
score: 0
Accepted
time: 1ms
memory: 6000kb
input:
3
output:
561512450
result:
ok 1 number(s): "561512450"
Test #3:
score: 0
Accepted
time: 1ms
memory: 8108kb
input:
10
output:
609769250
result:
ok 1 number(s): "609769250"
Test #4:
score: 0
Accepted
time: 5ms
memory: 8108kb
input:
1000
output:
475714976
result:
ok 1 number(s): "475714976"
Test #5:
score: 0
Accepted
time: 5ms
memory: 6104kb
input:
1024
output:
178624793
result:
ok 1 number(s): "178624793"
Test #6:
score: -100
Time Limit Exceeded
input:
100000