QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#403890 | #4921. 匹配计数 | zhouhuanyi | 10 | 0ms | 3888kb | C++23 | 1.9kb | 2024-05-02 20:02:51 | 2024-05-02 20:02:51 |
Judging History
answer
#include<iostream>
#include<cstdio>
#include<vector>
#define N 2000
#define mod 998244353
using namespace std;
const int inv2=(mod+1)>>1;
int read()
{
char c=0;
int sum=0;
while (c<'0'||c>'9') c=getchar();
while ('0'<=c&&c<='9') sum=sum*10+c-'0',c=getchar();
return sum;
}
int MD(int x)
{
return x>=mod?x-mod:x;
}
int MD2(int x)
{
return x<0?x+mod:x;
}
void Adder(int &x,int d)
{
x+=d;
if (x>=mod) x-=mod;
return;
}
void Adder2(int &x,int d)
{
x+=d;
if (x<0) x+=mod;
return;
}
int T,n,length,ans,ans2,a[N+1],F[N+1];
bool E[N+1][N+1];
vector<int>p[N+1];
vector<int>num[N+1];
int main()
{
int res,l,r,l2,r2;
F[0]=1;
for (int i=1;i<=N;++i) F[i]=MD(F[i-1]+1ll*(i-1)*F[i-2]%mod);
T=read();
while (T--)
{
n=read(),ans=1,ans2=length=0;
for (int i=1;i<=n;++i) p[i].clear();
for (int i=1;i<=n;++i) a[i]=read(),p[a[i]].push_back(i);
for (int i=1;i<=n;++i) ans=1ll*ans*F[p[i].size()]%mod;
for (int i=1;i<=n;++i)
for (int j=i+1;j<=n;++j)
E[i][j]=0;
for (int i=1;i<=n;++i)
{
num[i].resize(p[i].size());
for (int j=0;j+1<p[i].size();++j) num[i][j]=++length;
}
for (int i=1;i<=n;++i)
for (int j=i+1;j<=n;++j)
{
for (int k=0;k<p[i].size();++k)
for (int t=0;t<p[j].size();++t)
if (p[i][k]<p[j][t])
{
if (k+1==p[i].size()) l=0,r=k-1;
else l=r=k;
if (t+1==p[j].size()) l2=0,r2=t-1;
else l2=r2=t;
for (int s=l;s<=r;++s)
for (int w=l2;w<=r2;++w)
{
if (num[i][s]<num[j][w]) E[num[i][s]][num[j][w]]^=1;
else E[num[j][w]][num[i][s]]^=1;
}
}
}
for (int i=0;i<(1<<length);++i)
{
res=1;
for (int j=1;j<=length;++j)
if ((i>>(j-1))&1)
for (int k=j+1;k<=length;++k)
if (((i>>(k-1))&1)&&E[j][k])
res=MD2(-res);
Adder(ans2,res);
}
printf("%lld\n",1ll*(ans+ans2)*inv2%mod);
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 5
Accepted
time: 0ms
memory: 3888kb
input:
5 11 4 1 9 11 7 10 6 9 11 6 5 13 2 2 1 2 1 2 1 1 2 1 1 2 1 12 6 1 6 1 4 5 6 2 2 1 6 4 12 2 1 2 4 2 1 4 1 3 2 2 4 13 2 3 1 4 3 3 1 3 1 3 1 1 3
output:
4 8880 88 224 1020
result:
ok 5 number(s): "4 8880 88 224 1020"
Test #2:
score: 5
Accepted
time: 0ms
memory: 3812kb
input:
5 13 4 4 5 2 3 2 2 5 1 3 4 1 5 11 1 1 1 1 1 1 1 1 1 1 1 13 1 1 2 2 2 1 1 2 2 2 2 1 2 11 3 3 3 1 2 3 2 1 1 2 2 12 2 5 6 1 5 6 1 4 5 6 4 3
output:
160 18360 10188 232 28
result:
ok 5 number(s): "160 18360 10188 232 28"
Test #3:
score: 0
Time Limit Exceeded
input:
5 1986 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 286 2...
output:
result:
Test #4:
score: 0
Time Limit Exceeded
input:
5 1987 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 989 9...
output:
result:
Test #5:
score: 0
Time Limit Exceeded
input:
5 2000 9 7 5 10 3 5 6 10 2 5 6 7 10 7 5 5 10 9 4 4 5 1 2 10 7 5 6 1 2 4 8 3 1 1 2 6 4 5 1 7 3 4 3 2 9 9 5 6 4 4 5 10 1 6 6 2 8 6 6 8 10 2 8 7 2 6 3 5 2 3 6 5 4 2 7 3 2 5 1 3 10 10 8 7 1 7 2 7 2 3 8 4 4 8 6 1 8 7 1 4 6 5 6 5 4 7 4 9 2 1 1 1 3 4 6 6 8 6 7 1 8 6 10 4 6 7 10 6 8 8 9 5 9 7 3 10 2 9 9 6 3...
output:
result:
Test #6:
score: 0
Time Limit Exceeded
input:
5 1987 9 10 3 9 1 9 2 8 2 1 9 9 6 9 1 2 10 10 8 7 5 6 2 5 1 7 10 4 4 3 6 2 2 6 3 8 9 8 9 3 2 6 5 9 2 5 6 6 1 6 1 9 8 6 9 10 10 5 8 3 5 4 4 6 6 7 4 2 2 10 9 8 10 4 8 7 9 8 7 3 6 3 9 4 3 6 9 2 10 4 2 4 3 5 7 8 10 5 6 3 7 5 6 5 7 1 10 4 6 5 6 1 1 10 9 8 10 3 5 7 10 2 5 2 9 7 3 9 6 2 9 6 9 4 6 7 7 5 5 3...
output:
result:
Test #7:
score: 0
Time Limit Exceeded
input:
5 1996 9 3 3 1 9 1 5 9 7 2 9 6 2 9 10 6 6 10 2 8 10 8 3 3 7 3 10 8 5 4 6 7 5 4 1 8 5 3 7 6 4 8 7 10 6 10 10 9 4 7 6 8 1 8 8 9 9 5 4 5 5 1 9 7 10 9 4 4 2 3 4 8 6 5 2 9 6 7 8 9 10 2 5 8 9 1 5 5 9 4 9 6 3 5 1 7 5 8 8 1 1 7 4 10 9 3 1 8 4 4 6 3 1 5 2 5 9 3 1 2 10 3 9 10 10 2 4 3 7 9 9 6 2 6 8 9 6 1 10 8...
output:
result:
Test #8:
score: 0
Time Limit Exceeded
input:
5 1992 6 6 6 4 6 2 9 10 4 3 9 1 3 6 6 4 1 9 4 10 1 1 6 1 1 2 8 3 1 4 10 4 7 4 4 8 1 7 4 8 5 10 1 10 3 9 5 10 7 3 2 7 10 2 6 3 5 9 3 9 4 9 3 9 8 10 3 6 1 4 7 6 3 5 4 10 5 5 9 1 6 10 8 3 5 4 7 7 10 5 4 8 2 4 3 8 9 8 9 4 2 4 10 5 1 2 2 6 3 2 2 2 2 6 9 6 5 1 9 2 4 8 10 7 9 8 10 7 7 10 5 9 3 5 8 4 10 6 7...
output:
result:
Test #9:
score: 0
Time Limit Exceeded
input:
5 1993 4 4 10 7 3 6 7 2 7 3 7 8 1 9 4 7 5 7 9 10 10 4 2 1 10 4 2 8 3 4 5 1 9 6 1 5 2 8 6 6 8 3 3 1 4 8 1 10 4 6 7 10 8 9 6 5 9 10 7 3 9 10 6 6 2 1 5 8 6 8 8 8 5 1 5 9 7 7 7 6 10 8 7 7 10 4 3 5 1 1 8 8 6 5 8 6 8 2 6 7 5 6 9 7 4 5 3 10 8 9 7 2 1 5 8 9 4 4 3 7 4 4 6 9 10 4 7 7 6 8 9 1 9 9 10 2 10 5 6 8...
output:
result:
Test #10:
score: 0
Time Limit Exceeded
input:
5 1982 2 1 2 6 9 5 5 2 10 10 3 8 10 3 2 6 9 5 7 4 5 3 10 3 2 6 3 5 9 9 1 5 3 7 1 10 10 8 6 9 7 6 1 9 4 10 5 1 5 4 3 7 2 4 6 2 10 2 10 8 7 8 2 6 2 3 5 6 4 10 2 10 5 3 9 8 3 2 1 8 9 2 5 8 9 4 10 7 3 1 5 2 9 8 7 6 1 4 4 10 4 1 8 8 9 10 8 10 3 4 9 3 8 2 2 1 10 4 8 2 1 6 2 3 6 8 2 3 2 10 1 6 5 3 3 1 8 3 ...
output:
result:
Test #11:
score: 0
Time Limit Exceeded
input:
5 280 9 9 3 15 12 18 8 2 18 18 8 3 15 14 7 3 18 16 11 13 1 12 14 14 2 15 15 14 2 6 5 3 9 10 9 2 3 7 18 3 12 1 4 16 5 18 2 4 14 13 1 14 5 2 16 18 12 13 11 15 14 13 15 8 2 14 16 17 17 13 8 9 7 2 8 9 6 13 11 8 16 1 16 4 5 17 17 5 10 16 15 15 13 8 4 18 6 18 8 14 4 15 11 12 17 18 12 3 8 10 12 15 6 16 17 ...
output:
result:
Test #12:
score: 0
Time Limit Exceeded
input:
5 288 19 10 7 10 2 8 17 2 15 11 1 9 16 20 7 2 9 14 4 7 8 1 1 11 4 1 6 12 10 5 17 4 8 16 3 8 16 20 17 18 10 5 11 14 9 8 9 11 19 13 18 20 2 1 10 11 17 12 3 12 4 6 20 14 15 16 12 9 5 17 9 7 11 18 8 4 6 19 7 16 15 12 14 16 2 19 2 15 9 13 11 19 10 6 7 14 18 4 4 14 11 5 18 16 8 2 17 20 11 11 18 10 16 15 1...
output:
result:
Test #13:
score: 0
Time Limit Exceeded
input:
5 281 15 1 5 13 10 9 9 5 12 2 12 15 6 15 9 10 10 4 3 1 6 13 5 2 16 3 8 16 2 11 8 6 8 15 9 14 7 1 5 1 16 12 10 15 6 13 2 1 13 3 3 13 3 3 8 9 3 15 15 4 7 8 5 2 14 1 15 6 15 6 10 5 13 13 5 8 11 11 13 2 2 10 9 3 16 10 8 12 3 6 8 4 7 8 8 11 12 15 16 13 11 16 15 9 10 11 5 2 15 16 3 5 1 2 15 12 5 10 12 3 8...
output:
result:
Test #14:
score: 0
Time Limit Exceeded
input:
5 282 8 10 3 15 14 5 13 12 2 17 12 2 3 3 3 3 5 10 4 4 5 6 12 12 16 12 14 5 6 5 10 13 8 6 5 9 13 11 3 4 10 17 3 15 3 16 3 4 3 15 14 8 17 6 9 4 14 3 2 12 1 8 13 10 10 9 13 3 7 14 17 6 3 7 6 6 3 14 8 12 15 6 2 3 4 14 16 9 10 16 4 2 14 10 3 5 13 5 11 15 16 9 1 13 9 13 4 9 13 10 5 5 15 5 13 8 14 7 17 11 ...
output:
result:
Test #15:
score: 0
Time Limit Exceeded
input:
5 1900 41 13 29 21 31 26 37 32 8 24 27 24 2 20 33 33 18 40 38 44 21 40 30 45 31 39 32 41 34 13 6 38 36 39 47 14 26 27 14 35 9 23 7 15 4 26 39 44 16 24 44 36 46 14 32 43 32 22 6 28 11 16 43 10 10 2 24 12 9 26 16 25 30 33 9 7 44 32 46 31 41 23 10 38 37 31 36 18 41 11 20 14 18 30 27 32 31 13 31 40 39 4...
output:
result:
Test #16:
score: 0
Time Limit Exceeded
input:
5 1999 21 14 5 7 15 10 31 16 12 30 43 41 27 38 19 37 15 27 25 25 16 41 35 8 14 27 22 14 24 8 2 34 12 19 31 38 47 29 6 16 31 13 3 30 39 19 26 21 35 9 7 11 37 11 10 22 39 9 19 36 2 10 27 28 14 19 3 21 43 41 32 22 48 3 40 30 17 3 22 37 6 39 20 18 42 11 25 14 34 33 1 40 47 20 29 27 37 41 42 46 12 22 22 ...
output:
result:
Test #17:
score: 0
Time Limit Exceeded
input:
5 1925 1118 1447 1229 694 1207 106 826 856 1352 1116 434 549 667 564 613 340 380 476 45 835 623 505 1536 593 1345 931 842 1518 1512 1244 648 527 1386 52 813 441 664 694 1455 893 381 136 1553 7 236 907 824 795 233 768 1489 551 431 932 1366 608 1290 1337 473 521 1386 849 970 1287 711 1505 1199 1176 29...
output:
result:
Test #18:
score: 0
Time Limit Exceeded
input:
5 1998 31 21 6 18 5 11 10 38 43 46 1 27 5 11 43 31 29 41 12 10 28 19 14 31 35 14 6 46 34 38 18 21 14 45 34 15 30 25 41 19 40 21 20 26 30 11 3 35 18 24 42 4 35 4 1 42 3 13 19 12 19 41 43 36 15 38 46 39 28 9 34 46 19 24 46 45 4 27 37 1 46 43 7 4 46 6 46 44 9 39 24 15 14 46 26 39 14 6 10 1 31 22 21 46 ...
output:
result:
Test #19:
score: 0
Time Limit Exceeded
input:
5 1952 24 36 19 25 33 24 1 39 4 39 9 38 13 4 21 37 24 29 32 2 7 17 25 14 38 27 12 39 3 6 25 14 9 34 33 19 7 6 30 37 5 6 34 6 31 31 35 7 29 24 37 40 25 28 1 34 18 37 37 40 33 3 3 35 35 13 7 14 15 31 3 26 24 12 29 11 12 14 19 10 6 5 22 11 25 12 13 18 6 26 35 34 24 23 4 38 22 5 12 36 9 2 16 14 22 35 1 ...
output:
result:
Test #20:
score: 0
Time Limit Exceeded
input:
5 2000 500 499 498 497 496 495 494 493 492 491 490 489 488 487 486 485 484 483 482 481 480 479 478 477 476 475 474 473 472 471 470 469 468 467 466 465 464 463 462 461 460 459 458 457 456 455 454 453 452 451 450 449 448 447 446 445 444 443 442 441 440 439 438 437 436 435 434 433 432 431 430 429 428 4...