QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#351114 | #8329. Excuse | 275307894a | AC ✓ | 153ms | 15804kb | C++14 | 3.1kb | 2024-03-11 15:54:42 | 2024-03-11 15:54:42 |
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=(1<<17)+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,k;ll frc[N],inv[N],f[N],g[N],pw[N],iw[N];
ll mpow(ll x,int y=mod-2){ll ans=1;while(y) y&1&&(ans=ans*x%mod),y>>=1,x=x*x%mod;return ans;}
namespace poly{
int tr[N];ll pw[N];const int g=3,Ig=mpow(g);
void init(int n){
k=0;for(k=1;k<=n;k<<=1);
for(int i=0;i<k;i++) tr[i]=(tr[i>>1]>>1)|((i&1)?k/2:0);
ll w=mpow(g,(mod-1)/k);
pw[k/2]=1;for(int i=k/2+1;i<k;i++) pw[i]=pw[i-1]*w%mod;
for(int i=k/2-1;i;i--) pw[i]=pw[i<<1];
}
void ntt(ll *A,int k,int flag){
static ull a[N];
int i,j,h;for(int i=0;i<k;i++) a[tr[i]]=A[i];
for(int i=2;i<=k;i<<=1){
ll *e=pw+i/2;
for(int j=0;j<k;j+=i){
for(int h=j;h<j+i/2;h++) {
ll now=e[h-j]*a[h+i/2]%mod;
a[h+i/2]=a[h]+mod-now;
a[h]+=now;
}
}
}
for(int i=0;i<k;i++) A[i]=a[i]%mod;
if(flag) return;
ll iv=mpow(k);for(int i=0;i<k;i++) A[i]=A[i]*iv%mod;
reverse(A+1,A+k);
}
}
ll A[N],B[N],C[N];
void calc(int l,int r){
if(l==r) return;int m=l+r>>1;
calc(l,m);
poly::init(r-l+3);
fill(A,A+k,0);fill(B,B+k,0);fill(C,C+k,0);
for(int i=l;i<=m;i++) A[i-l]=(f[i]+g[i])%mod*iw[n-i]%mod*frc[n-i]%mod,B[i-l]=g[i]*iw[n-i]%mod*frc[n-i]%mod;
for(int i=1;i<=r-l+1;i++) C[i]=inv[i];
poly::ntt(A,k,1);poly::ntt(B,k,1);poly::ntt(C,k,1);
for(int i=0;i<k;i++) A[i]=A[i]*C[i]%mod,B[i]=B[i]*C[i]%mod;
poly::ntt(A,k,0);poly::ntt(B,k,0);
for(int i=m+1;i<=r;i++) f[i]=(f[i]+A[i-l]*inv[n-i])%mod,g[i]=(g[i]+B[i-l]*inv[n-i])%mod;
calc(m+1,r);
}
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;calc(0,n);
/*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';
}
这程序好像有点Bug,我给组数据试试?
Details
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Test #1:
score: 100
Accepted
time: 2ms
memory: 12212kb
input:
1
output:
499122177
result:
ok 1 number(s): "499122177"
Test #2:
score: 0
Accepted
time: 2ms
memory: 14248kb
input:
3
output:
561512450
result:
ok 1 number(s): "561512450"
Test #3:
score: 0
Accepted
time: 0ms
memory: 14188kb
input:
10
output:
609769250
result:
ok 1 number(s): "609769250"
Test #4:
score: 0
Accepted
time: 0ms
memory: 12240kb
input:
1000
output:
475714976
result:
ok 1 number(s): "475714976"
Test #5:
score: 0
Accepted
time: 3ms
memory: 14268kb
input:
1024
output:
178624793
result:
ok 1 number(s): "178624793"
Test #6:
score: 0
Accepted
time: 153ms
memory: 15644kb
input:
100000
output:
537516197
result:
ok 1 number(s): "537516197"
Test #7:
score: 0
Accepted
time: 153ms
memory: 15804kb
input:
99471
output:
489775976
result:
ok 1 number(s): "489775976"
Test #8:
score: 0
Accepted
time: 132ms
memory: 15288kb
input:
65536
output:
171446457
result:
ok 1 number(s): "171446457"
Test #9:
score: 0
Accepted
time: 147ms
memory: 15424kb
input:
84792
output:
371578800
result:
ok 1 number(s): "371578800"
Test #10:
score: 0
Accepted
time: 153ms
memory: 15496kb
input:
93846
output:
841905002
result:
ok 1 number(s): "841905002"
Extra Test:
score: 0
Extra Test Passed