QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#400652 | #4903. 细菌 | Dawnq | 100 ✓ | 1957ms | 18560kb | C++14 | 2.6kb | 2024-04-27 14:40:10 | 2024-04-27 14:40:10 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
const int N=6e5+5,mod=998244353,B=5000,G=3,lim=1<<19;
int d,n,m,k,a,b,c;
int dp[2][5005],f[N],g[N],h[N],fac[N],inv[N],rev[N],w[N]={1};
inline int Add(int x,int y){return x+y-mod*(x+y>=mod);}
inline int qpow(int x,int y){
int Res=1;while(y){
if(y&1)Res=1ll*Res*x%mod;
x=1ll*x*x%mod,y>>=1;
}return Res;
}
inline int C(int x,int y){return x<0||y<0||x<y?0:1ll*fac[x]*inv[y]%mod*inv[x-y]%mod;}
inline void pre(int n){
fac[0]=1;
for(int i=1;i<=n;++i)fac[i]=1ll*fac[i-1]*i%mod;
inv[n]=qpow(fac[n],mod-2);
for(int i=n-1;i>=0;--i)inv[i]=1ll*inv[i+1]*(i+1)%mod;
for(int i=1;i<n;++i)rev[i]=(rev[i>>1]>>1)|((i&1)<<18);
}
inline void NTT(int n,int *a,int op){
for(int i=1;i<n;++i)if(i<rev[i])swap(a[i],a[rev[i]]);
for(int l=1;l<<1<=n;l<<=1){
int W=qpow(G,(mod-1)/(l<<1));
for(int i=1;i<l;++i)w[i]=1ll*w[i-1]*W%mod;
for(int i=0;i+(l<<1)<=n;i+=l<<1){
for(int j=0;j<l;++j){
int x=a[i+j],y=1ll*a[i+j+l]*w[j]%mod;
a[i+j]=Add(x,y),a[i+j+l]=Add(x,mod-y);
}
}
}
if(op==-1){
int inv=qpow(n,mod-2);
reverse(a+1,a+n);
for(int i=0;i<n;++i)a[i]=1ll*a[i]*inv%mod;
}
}
struct Cx{
int i,l,r,Res;
inline void pre(){i=l=r=0,Res=1;}
inline int ask(int I,int ql,int qr){
for(;i<I;++i){
Res=2ll*Res%mod;
Res=Add(Res,C(i,l-1));
Res=Add(Res,mod-C(i,r));
}
while(l<ql)Res=Add(Res,mod-C(i,l)),++l;
while(r>qr)Res=Add(Res,mod-C(i,r)),--r;
while(l>ql)--l,Res=Add(Res,C(i,l));
while(r<qr)++r,Res=Add(Res,C(i,r));
return Res;
}
}cx[N];
inline void Calc(int *f,int n,int a){
if(n<=B){
memset(dp,0,sizeof(dp));
int now=1,pre=0;
f[0]=1;
for(int i=1;i<=n;++i)dp[now][i]=1;
for(int i=1;i<=d;++i){
now^=1,pre^=1;
for(int j=1;j<=n;++j){
dp[now][j]=0;
if(j!=1)dp[now][j]=Add(dp[now][j],dp[pre][j-1]);
if(j!=n)dp[now][j]=Add(dp[now][j],dp[pre][j+1]);
}
f[i]=dp[now][a];
}
}else{
++n;
int l=(a-d-n+1)/n,r=(a+d-1)/n;
for(int i=l;i<=r;++i)cx[i-l].pre();
for(int i=0;i<=d;++i){
for(int j=l;j<=r;++j){
int ql=(i+j*n-a+2)>>1,qr=(i+n+j*n-a-1)>>1;
f[i]=Add(f[i],(j&1?mod-1ll:1ll)*cx[j-l].ask(i,ql,qr)%mod);
}
}
}
}
signed main(){
// freopen("bacteria.in","r",stdin);
// freopen("bacteria.out","w",stdout);
std::ios::sync_with_stdio(false);
cin.tie(0),cout.tie(0);
cin>>d>>n>>m>>k>>a>>b>>c;
pre(lim),Calc(f,n,a),Calc(g,m,b),Calc(h,k,c);
for(int i=0;i<=d;++i)f[i]=1ll*f[i]*inv[i]%mod,g[i]=1ll*g[i]*inv[i]%mod,h[i]=1ll*h[i]*inv[i]%mod;
NTT(lim,f,1),NTT(lim,g,1),NTT(lim,h,1);
for(int i=0;i<lim;++i)f[i]=1ll*f[i]*g[i]%mod*h[i]%mod;
NTT(lim,f,-1);
cout<<1ll*f[d]*fac[d]%mod;
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 71ms
memory: 18428kb
input:
50 41 46 42 8 20 21
output:
791406134
result:
ok 1 number(s): "791406134"
Test #2:
score: 0
Accepted
time: 75ms
memory: 18424kb
input:
50 49 44 48 49 15 25
output:
544847893
result:
ok 1 number(s): "544847893"
Subtask #2:
score: 10
Accepted
Dependency #1:
100%
Accepted
Test #3:
score: 10
Accepted
time: 149ms
memory: 18388kb
input:
5000 4994 4990 4990 976 2257 2505
output:
836390717
result:
ok 1 number(s): "836390717"
Test #4:
score: 0
Accepted
time: 154ms
memory: 18560kb
input:
5000 4994 4997 4994 4399 1826 1332
output:
65414465
result:
ok 1 number(s): "65414465"
Subtask #3:
score: 15
Accepted
Test #5:
score: 15
Accepted
time: 111ms
memory: 18432kb
input:
120000 300 1 1 141 1 1
output:
637174
result:
ok 1 number(s): "637174"
Test #6:
score: 0
Accepted
time: 203ms
memory: 18488kb
input:
120000 994 1 1 15 1 1
output:
218803691
result:
ok 1 number(s): "218803691"
Test #7:
score: 0
Accepted
time: 71ms
memory: 18140kb
input:
120000 119999 1 1 19896 1 1
output:
68846585
result:
ok 1 number(s): "68846585"
Subtask #4:
score: 10
Accepted
Test #8:
score: 10
Accepted
time: 79ms
memory: 17972kb
input:
119000 119991 119991 1 23819 52139 1
output:
944500934
result:
ok 1 number(s): "944500934"
Subtask #5:
score: 15
Accepted
Dependency #4:
100%
Accepted
Test #9:
score: 15
Accepted
time: 116ms
memory: 17856kb
input:
120000 13997 13996 1 42 9266 1
output:
775637357
result:
ok 1 number(s): "775637357"
Test #10:
score: 0
Accepted
time: 130ms
memory: 17908kb
input:
120000 13997 13997 1 9768 6131 1
output:
151873213
result:
ok 1 number(s): "151873213"
Subtask #6:
score: 35
Accepted
Dependency #3:
100%
Accepted
Dependency #5:
100%
Accepted
Test #11:
score: 35
Accepted
time: 152ms
memory: 18500kb
input:
120000 294 296 1 142 273 1
output:
889786082
result:
ok 1 number(s): "889786082"
Test #12:
score: 0
Accepted
time: 175ms
memory: 18492kb
input:
120000 395 390 1 370 185 1
output:
884557050
result:
ok 1 number(s): "884557050"
Test #13:
score: 0
Accepted
time: 196ms
memory: 18496kb
input:
120000 491 495 1 430 25 1
output:
272929924
result:
ok 1 number(s): "272929924"
Test #14:
score: 0
Accepted
time: 222ms
memory: 18548kb
input:
120000 590 593 1 418 459 1
output:
446962505
result:
ok 1 number(s): "446962505"
Test #15:
score: 0
Accepted
time: 253ms
memory: 18504kb
input:
120000 697 690 1 166 450 1
output:
216092107
result:
ok 1 number(s): "216092107"
Test #16:
score: 0
Accepted
time: 272ms
memory: 18504kb
input:
120000 793 799 1 416 61 1
output:
661260042
result:
ok 1 number(s): "661260042"
Test #17:
score: 0
Accepted
time: 329ms
memory: 18428kb
input:
120000 1000 1000 1 613 547 1
output:
429669083
result:
ok 1 number(s): "429669083"
Test #18:
score: 0
Accepted
time: 573ms
memory: 18428kb
input:
120000 1993 1995 1 493 565 1
output:
609392900
result:
ok 1 number(s): "609392900"
Test #19:
score: 0
Accepted
time: 1318ms
memory: 18556kb
input:
120000 4995 4998 1 3166 3765 1
output:
394497547
result:
ok 1 number(s): "394497547"
Test #20:
score: 0
Accepted
time: 155ms
memory: 17848kb
input:
120000 9994 9991 1 6099 691 1
output:
795651799
result:
ok 1 number(s): "795651799"
Test #21:
score: 0
Accepted
time: 88ms
memory: 17916kb
input:
120000 49990 49990 1 41933 2862 1
output:
360787513
result:
ok 1 number(s): "360787513"
Test #22:
score: 0
Accepted
time: 78ms
memory: 17908kb
input:
120000 119996 119994 1 58014 49559 1
output:
682979057
result:
ok 1 number(s): "682979057"
Subtask #7:
score: 10
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Dependency #5:
100%
Accepted
Dependency #6:
100%
Accepted
Test #23:
score: 10
Accepted
time: 197ms
memory: 18512kb
input:
120000 296 300 297 89 130 280
output:
702788425
result:
ok 1 number(s): "702788425"
Test #24:
score: 0
Accepted
time: 225ms
memory: 18492kb
input:
120000 392 397 391 222 280 10
output:
322470184
result:
ok 1 number(s): "322470184"
Test #25:
score: 0
Accepted
time: 271ms
memory: 18520kb
input:
120000 499 498 500 263 315 367
output:
449848666
result:
ok 1 number(s): "449848666"
Test #26:
score: 0
Accepted
time: 300ms
memory: 18500kb
input:
120000 598 591 594 497 474 400
output:
35486519
result:
ok 1 number(s): "35486519"
Test #27:
score: 0
Accepted
time: 334ms
memory: 18488kb
input:
120000 694 692 695 625 173 477
output:
785203749
result:
ok 1 number(s): "785203749"
Test #28:
score: 0
Accepted
time: 373ms
memory: 18428kb
input:
120000 794 796 800 395 465 507
output:
897269426
result:
ok 1 number(s): "897269426"
Test #29:
score: 0
Accepted
time: 467ms
memory: 18492kb
input:
120000 993 998 991 196 712 911
output:
464727191
result:
ok 1 number(s): "464727191"
Test #30:
score: 0
Accepted
time: 814ms
memory: 18508kb
input:
120000 1991 2000 1994 1937 1362 1494
output:
473701811
result:
ok 1 number(s): "473701811"
Test #31:
score: 0
Accepted
time: 1957ms
memory: 18436kb
input:
120000 4994 4990 4990 646 1214 2276
output:
763540821
result:
ok 1 number(s): "763540821"
Test #32:
score: 0
Accepted
time: 192ms
memory: 17808kb
input:
120000 9994 9992 9991 6588 9538 2632
output:
804858722
result:
ok 1 number(s): "804858722"
Test #33:
score: 0
Accepted
time: 95ms
memory: 17808kb
input:
120000 49997 49997 49993 46278 44140 26931
output:
139550295
result:
ok 1 number(s): "139550295"
Test #34:
score: 0
Accepted
time: 80ms
memory: 17836kb
input:
120000 119997 120000 120000 24867 116477 35338
output:
946147605
result:
ok 1 number(s): "946147605"