QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#91869 | #4903. 细菌 | SenseAnone | 100 ✓ | 1013ms | 15828kb | C++14 | 3.5kb | 2023-03-29 19:38:42 | 2023-03-29 19:38:45 |
Judging History
answer
#include <bits/stdc++.h>
#define ll long long
#define PII pair<int,int>
#define mp(a,b) make_pair(a,b)
using namespace std;
template<typename T>void read(T &x)
{
T f=1;x=0;char ch=getchar();
while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
while(ch>='0'&&ch<='9') {x=x*10+ch-'0';ch=getchar();}
x*=f;
}
const int MOD=998244353,g=3,gi=(MOD+1)/3;
inline int Add(int a,int b){return (a+b)%MOD;}
inline int Dec(int a,int b){return (a-b+MOD)%MOD;}
inline int Mul(int a,int b){return 1ll*a*b%MOD;}
inline int qpow(int a,int b)
{
int ret=1;
while(b)
{
if(b&1) ret=Mul(ret,a);
b>>=1;a=Mul(a,a);
}
return ret;
}
int d,To[2000005],N,Lg;
void NTT(int *S,int op)
{
for(int i=0;i<N;i++) if(i<To[i]) swap(S[i],S[To[i]]);
for(int i=1;i<N;i<<=1)
{
int W=qpow(op==1?g:gi,(MOD-1)/(i<<1));
for(int j=0;j<N;j+=i<<1)
{
int w=1;
for(int k=0;k<i;k++,w=Mul(w,W))
{
int x=S[j+k],y=Mul(S[i+j+k],w);
S[j+k]=Add(x,y); S[i+j+k]=Dec(x,y);
}
}
}
if(op==-1)
{
int Inv=qpow(N,MOD-2);
for(int i=0;i<N;i++) S[i]=Mul(S[i],Inv);
}
}
int dp[2][1005];
int Fac[250005],Inv[250005];
inline int C(int n,int r){return r>n||r<0?0:Mul(Fac[n],Mul(Inv[r],Inv[n-r]));}
int Solve1(int a,int b,int k1,int k2);
int Solve2(int a,int b,int k1,int k2);
inline int Calc(int X1,int Y1,int X2,int Y2){return (X2-X1+Y2-Y1)&1||Y2-Y1>X2-X1||Y1-Y2>X2-X1?0:C(X2-X1,(X2-X1+Y2-Y1)/2);}
int Solve1(int a,int b,int k1,int k2)//不碰 y=k1 和 y=k2 从原点到 (a,b)
{
if(a<-b||a<b) return 0;
return Dec(Dec(Calc(0,0,a,b),Calc(0,0,a,2*k2-b)),Solve2(a,b,k1,k2));
}
int Solve2(int a,int b,int k1,int k2)//指定碰 y=k1 而不碰 y=k2
{
if(a<-b||a<b) return 0;
if(a<2*k1-b||a<b-2*k1) return 0;
return Add(Solve1(a,2*k1-b,2*k1-k2,k2),Solve2(a,b,2*k1-k2,k2));
}
void Solve(int *f,int n,int p)
{
if(n<=1000)
{
memset(dp,0,sizeof(dp));
for(int i=1;i<=n;i++) dp[0][i]=1;
f[0]=1;
for(int i=1;i<=d;i++)
{
for(int j=1;j<=n;j++)
dp[i&1][j]=Add(j-1>=1?dp[!(i&1)][j-1]:0,j+1<=n?dp[!(i&1)][j+1]:0);
f[i]=dp[i&1][p];
}
return;
}
/*否则问题就是:从 (0,0) 出发向右上或者右下走,不触碰 y=-p 和 y=n-p+1 走d步到达一个点*/
f[0]=1;
for(int i=1;i<=d;i++)
{
f[i]=Mul(f[i-1],2);
f[i]=Dec(f[i],Solve1(i-1,-p+1,-p,n-p+1));
f[i]=Dec(f[i],Solve1(i-1,n-p,-p,n-p+1));
}
}
int f[524290],gg[524290],h[524290];
int main() {
// freopen("output.out","w",stdout);
int n,m,k,a,b,c;
read(d);read(n);read(m);read(k);read(a);read(b);read(c);
Fac[0]=1;
for(int i=1;i<=120000;i++) Fac[i]=Mul(Fac[i-1],i);
Inv[120000]=qpow(Fac[120000],MOD-2);
for(int i=120000-1;i>=0;i--) Inv[i]=Mul(Inv[i+1],i+1);
Solve(f,n,a); Solve(gg,m,b); Solve(h,k,c);
for(N=1,Lg=0;N<524288;N<<=1,Lg++);
for(int i=0;i<N;i++) To[i]=(To[i>>1]>>1)|((i&1)<<(Lg-1));
// for(int i=0;i<=d;i++)
// printf("(%d,%d,%d)\n",f[i],gg[i],h[i]);
for(int i=0;i<=d;i++)
{
f[i]=Mul(Inv[i],f[i]);
gg[i]=Mul(Inv[i],gg[i]);
h[i]=Mul(Inv[i],h[i]);
}
NTT(f,1); NTT(gg,1); NTT(h,1);
for(int i=0;i<N;i++) f[i]=Mul(f[i],Mul(gg[i],h[i]));
NTT(f,-1);
printf("%d",Mul(f[d],Fac[d]));
return 0;
}
/*
瑶草一何碧,春入武陵溪。溪上桃花无数,花上有黄鹂。我欲穿花寻路,直入白云深处,浩气展虹霓。只恐花深里,红露湿人衣。
坐玉石,欹玉枕。拂金徽。谪仙何处,无人伴我白螺杯。我为灵芝仙草,不为朱唇丹脸,长啸亦何为。醉舞下山去,明月逐人归。
*/
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 131ms
memory: 14964kb
input:
50 41 46 42 8 20 21
output:
791406134
result:
ok 1 number(s): "791406134"
Test #2:
score: 0
Accepted
time: 124ms
memory: 13988kb
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: 128ms
memory: 14432kb
input:
5000 4994 4990 4990 976 2257 2505
output:
836390717
result:
ok 1 number(s): "836390717"
Test #4:
score: 0
Accepted
time: 126ms
memory: 14204kb
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: 212ms
memory: 14160kb
input:
120000 300 1 1 141 1 1
output:
637174
result:
ok 1 number(s): "637174"
Test #6:
score: 0
Accepted
time: 416ms
memory: 15756kb
input:
120000 994 1 1 15 1 1
output:
218803691
result:
ok 1 number(s): "218803691"
Test #7:
score: 0
Accepted
time: 133ms
memory: 14292kb
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: 128ms
memory: 14528kb
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: 156ms
memory: 15404kb
input:
120000 13997 13996 1 42 9266 1
output:
775637357
result:
ok 1 number(s): "775637357"
Test #10:
score: 0
Accepted
time: 155ms
memory: 15464kb
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: 299ms
memory: 14564kb
input:
120000 294 296 1 142 273 1
output:
889786082
result:
ok 1 number(s): "889786082"
Test #12:
score: 0
Accepted
time: 370ms
memory: 14160kb
input:
120000 395 390 1 370 185 1
output:
884557050
result:
ok 1 number(s): "884557050"
Test #13:
score: 0
Accepted
time: 431ms
memory: 14860kb
input:
120000 491 495 1 430 25 1
output:
272929924
result:
ok 1 number(s): "272929924"
Test #14:
score: 0
Accepted
time: 463ms
memory: 15408kb
input:
120000 590 593 1 418 459 1
output:
446962505
result:
ok 1 number(s): "446962505"
Test #15:
score: 0
Accepted
time: 528ms
memory: 14504kb
input:
120000 697 690 1 166 450 1
output:
216092107
result:
ok 1 number(s): "216092107"
Test #16:
score: 0
Accepted
time: 588ms
memory: 14776kb
input:
120000 793 799 1 416 61 1
output:
661260042
result:
ok 1 number(s): "661260042"
Test #17:
score: 0
Accepted
time: 714ms
memory: 15364kb
input:
120000 1000 1000 1 613 547 1
output:
429669083
result:
ok 1 number(s): "429669083"
Test #18:
score: 0
Accepted
time: 364ms
memory: 14348kb
input:
120000 1993 1995 1 493 565 1
output:
609392900
result:
ok 1 number(s): "609392900"
Test #19:
score: 0
Accepted
time: 197ms
memory: 14644kb
input:
120000 4995 4998 1 3166 3765 1
output:
394497547
result:
ok 1 number(s): "394497547"
Test #20:
score: 0
Accepted
time: 171ms
memory: 15512kb
input:
120000 9994 9991 1 6099 691 1
output:
795651799
result:
ok 1 number(s): "795651799"
Test #21:
score: 0
Accepted
time: 142ms
memory: 13916kb
input:
120000 49990 49990 1 41933 2862 1
output:
360787513
result:
ok 1 number(s): "360787513"
Test #22:
score: 0
Accepted
time: 128ms
memory: 14780kb
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: 387ms
memory: 13888kb
input:
120000 296 300 297 89 130 280
output:
702788425
result:
ok 1 number(s): "702788425"
Test #24:
score: 0
Accepted
time: 469ms
memory: 13832kb
input:
120000 392 397 391 222 280 10
output:
322470184
result:
ok 1 number(s): "322470184"
Test #25:
score: 0
Accepted
time: 558ms
memory: 15024kb
input:
120000 499 498 500 263 315 367
output:
449848666
result:
ok 1 number(s): "449848666"
Test #26:
score: 0
Accepted
time: 638ms
memory: 15584kb
input:
120000 598 591 594 497 474 400
output:
35486519
result:
ok 1 number(s): "35486519"
Test #27:
score: 0
Accepted
time: 742ms
memory: 15388kb
input:
120000 694 692 695 625 173 477
output:
785203749
result:
ok 1 number(s): "785203749"
Test #28:
score: 0
Accepted
time: 831ms
memory: 14236kb
input:
120000 794 796 800 395 465 507
output:
897269426
result:
ok 1 number(s): "897269426"
Test #29:
score: 0
Accepted
time: 1013ms
memory: 14736kb
input:
120000 993 998 991 196 712 911
output:
464727191
result:
ok 1 number(s): "464727191"
Test #30:
score: 0
Accepted
time: 429ms
memory: 15828kb
input:
120000 1991 2000 1994 1937 1362 1494
output:
473701811
result:
ok 1 number(s): "473701811"
Test #31:
score: 0
Accepted
time: 245ms
memory: 15280kb
input:
120000 4994 4990 4990 646 1214 2276
output:
763540821
result:
ok 1 number(s): "763540821"
Test #32:
score: 0
Accepted
time: 182ms
memory: 14344kb
input:
120000 9994 9992 9991 6588 9538 2632
output:
804858722
result:
ok 1 number(s): "804858722"
Test #33:
score: 0
Accepted
time: 139ms
memory: 14424kb
input:
120000 49997 49997 49993 46278 44140 26931
output:
139550295
result:
ok 1 number(s): "139550295"
Test #34:
score: 0
Accepted
time: 130ms
memory: 14376kb
input:
120000 119997 120000 120000 24867 116477 35338
output:
946147605
result:
ok 1 number(s): "946147605"